Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [16,11,Mod(3,16)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(16, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3]))
N = Newforms(chi, 11, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("16.3");
S:= CuspForms(chi, 11);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 16 = 2^{4} \) |
Weight: | \( k \) | \(=\) | \( 11 \) |
Character orbit: | \([\chi]\) | \(=\) | 16.f (of order \(4\), 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: | \(10.1657160428\) |
Analytic rank: | \(0\) |
Dimension: | \(38\) |
Relative dimension: | \(19\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 3.7 | ||
Character | \(\chi\) | \(=\) | 16.3 |
Dual form | 16.11.f.a.11.7 |
$q$-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 \(\left(\mathbb{Z}/16\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(15\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −16.8116 | − | 27.2281i | −0.525362 | − | 0.850879i | ||||
\(3\) | 183.793 | − | 183.793i | 0.756349 | − | 0.756349i | −0.219307 | − | 0.975656i | \(-0.570380\pi\) |
0.975656 | + | 0.219307i | \(0.0703796\pi\) | |||||||
\(4\) | −458.741 | + | 915.496i | −0.447990 | + | 0.894039i | ||||
\(5\) | 3496.01 | − | 3496.01i | 1.11872 | − | 1.11872i | 0.126793 | − | 0.991929i | \(-0.459531\pi\) |
0.991929 | − | 0.126793i | \(-0.0404685\pi\) | |||||||
\(6\) | −8094.18 | − | 1914.49i | −1.04092 | − | 0.246204i | ||||
\(7\) | 26135.6 | 1.55504 | 0.777521 | − | 0.628857i | \(-0.216477\pi\) | ||||
0.777521 | + | 0.628857i | \(0.216477\pi\) | |||||||
\(8\) | 32639.4 | − | 2900.27i | 0.996075 | − | 0.0885091i | ||||
\(9\) | − | 8510.59i | − | 0.144128i | ||||||
\(10\) | −153963. | − | 36416.3i | −1.53963 | − | 0.364163i | ||||
\(11\) | −23602.7 | − | 23602.7i | −0.146554 | − | 0.146554i | 0.630023 | − | 0.776577i | \(-0.283046\pi\) |
−0.776577 | + | 0.630023i | \(0.783046\pi\) | |||||||
\(12\) | 83948.2 | + | 252575.i | 0.337369 | + | 1.01504i | ||||
\(13\) | −198530. | − | 198530.i | −0.534700 | − | 0.534700i | 0.387268 | − | 0.921967i | \(-0.373419\pi\) |
−0.921967 | + | 0.387268i | \(0.873419\pi\) | |||||||
\(14\) | −439381. | − | 711623.i | −0.816960 | − | 1.32315i | ||||
\(15\) | − | 1.28508e6i | − | 1.69229i | ||||||
\(16\) | −627689. | − | 839951.i | −0.598611 | − | 0.801040i | ||||
\(17\) | −37124.7 | −0.0261468 | −0.0130734 | − | 0.999915i | \(-0.504162\pi\) | ||||
−0.0130734 | + | 0.999915i | \(0.504162\pi\) | |||||||
\(18\) | −231727. | + | 143076.i | −0.122635 | + | 0.0757191i | ||||
\(19\) | −2.46575e6 | + | 2.46575e6i | −0.995819 | + | 0.995819i | −0.999991 | − | 0.00417198i | \(-0.998672\pi\) |
0.00417198 | + | 0.999991i | \(0.498672\pi\) | |||||||
\(20\) | 1.59682e6 | + | 4.80434e6i | 0.499005 | + | 1.50136i | ||||
\(21\) | 4.80353e6 | − | 4.80353e6i | 1.17615 | − | 1.17615i | ||||
\(22\) | −245858. | + | 1.03946e6i | −0.0477058 | + | 0.201694i | ||||
\(23\) | −928760. | −0.144299 | −0.0721496 | − | 0.997394i | \(-0.522986\pi\) | ||||
−0.0721496 | + | 0.997394i | \(0.522986\pi\) | |||||||
\(24\) | 5.46584e6 | − | 6.53193e6i | 0.686437 | − | 0.820324i | ||||
\(25\) | − | 1.46785e7i | − | 1.50308i | ||||||
\(26\) | −2.06800e6 | + | 8.74322e6i | −0.174054 | + | 0.735876i | ||||
\(27\) | 9.28860e6 | + | 9.28860e6i | 0.647338 | + | 0.647338i | ||||
\(28\) | −1.19895e7 | + | 2.39270e7i | −0.696643 | + | 1.39027i | ||||
\(29\) | 2.31954e7 | + | 2.31954e7i | 1.13087 | + | 1.13087i | 0.990033 | + | 0.140837i | \(0.0449794\pi\) |
0.140837 | + | 0.990033i | \(0.455021\pi\) | |||||||
\(30\) | −3.49904e7 | + | 2.16043e7i | −1.43993 | + | 0.889064i | ||||
\(31\) | − | 4.20509e7i | − | 1.46881i | −0.678710 | − | 0.734407i | \(-0.737461\pi\) | ||
0.678710 | − | 0.734407i | \(-0.262539\pi\) | |||||||
\(32\) | −1.23179e7 | + | 3.12117e7i | −0.367101 | + | 0.930181i | ||||
\(33\) | −8.67601e6 | −0.221692 | ||||||||
\(34\) | 624126. | + | 1.01084e6i | 0.0137365 | + | 0.0222478i | ||||
\(35\) | 9.13702e7 | − | 9.13702e7i | 1.73966 | − | 1.73966i | ||||
\(36\) | 7.79141e6 | + | 3.90416e6i | 0.128856 | + | 0.0645676i | ||||
\(37\) | −7.15654e7 | + | 7.15654e7i | −1.03203 | + | 1.03203i | −0.0325652 | + | 0.999470i | \(0.510368\pi\) |
−0.999470 | + | 0.0325652i | \(0.989632\pi\) | |||||||
\(38\) | 1.08591e8 | + | 2.56846e7i | 1.37049 | + | 0.324156i | ||||
\(39\) | −7.29769e7 | −0.808839 | ||||||||
\(40\) | 1.03968e8 | − | 1.24247e8i | 1.01531 | − | 1.21335i | ||||
\(41\) | − | 3.19196e7i | − | 0.275510i | −0.990466 | − | 0.137755i | \(-0.956011\pi\) | ||
0.990466 | − | 0.137755i | \(-0.0439887\pi\) | |||||||
\(42\) | −2.11546e8 | − | 5.00362e7i | −1.61867 | − | 0.382858i | ||||
\(43\) | −7.38726e7 | − | 7.38726e7i | −0.502506 | − | 0.502506i | 0.409710 | − | 0.912216i | \(-0.365630\pi\) |
−0.912216 | + | 0.409710i | \(0.865630\pi\) | |||||||
\(44\) | 3.24357e7 | − | 1.07806e7i | 0.196680 | − | 0.0653703i | ||||
\(45\) | −2.97531e7 | − | 2.97531e7i | −0.161239 | − | 0.161239i | ||||
\(46\) | 1.56139e7 | + | 2.52884e7i | 0.0758094 | + | 0.122781i | ||||
\(47\) | − | 4.97800e6i | − | 0.0217053i | −0.999941 | − | 0.0108526i | \(-0.996545\pi\) | ||
0.999941 | − | 0.0108526i | \(-0.00345457\pi\) | |||||||
\(48\) | −2.69742e8 | − | 3.90124e7i | −1.05862 | − | 0.153107i | ||||
\(49\) | 4.00594e8 | 1.41816 | ||||||||
\(50\) | −3.99668e8 | + | 2.46769e8i | −1.27894 | + | 0.789661i | ||||
\(51\) | −6.82326e6 | + | 6.82326e6i | −0.0197761 | + | 0.0197761i | ||||
\(52\) | 2.72828e8 | − | 9.06796e7i | 0.717582 | − | 0.238502i | ||||
\(53\) | −4.22772e8 | + | 4.22772e8i | −1.01094 | + | 1.01094i | −0.0110035 | + | 0.999939i | \(0.503503\pi\) |
−0.999939 | + | 0.0110035i | \(0.996497\pi\) | |||||||
\(54\) | 9.67550e7 | − | 4.09067e8i | 0.210720 | − | 0.890893i | ||||
\(55\) | −1.65030e8 | −0.327907 | ||||||||
\(56\) | 8.53050e8 | − | 7.58002e7i | 1.54894 | − | 0.137635i | ||||
\(57\) | 9.06373e8i | 1.50637i | ||||||||
\(58\) | 2.41616e8 | − | 1.02152e9i | 0.368117 | − | 1.55635i | ||||
\(59\) | −2.04599e8 | − | 2.04599e8i | −0.286183 | − | 0.286183i | 0.549386 | − | 0.835569i | \(-0.314862\pi\) |
−0.835569 | + | 0.549386i | \(0.814862\pi\) | |||||||
\(60\) | 1.17649e9 | + | 5.89520e8i | 1.51297 | + | 0.758128i | ||||
\(61\) | 9.65784e8 | + | 9.65784e8i | 1.14349 | + | 1.14349i | 0.987808 | + | 0.155678i | \(0.0497563\pi\) |
0.155678 | + | 0.987808i | \(0.450244\pi\) | |||||||
\(62\) | −1.14497e9 | + | 7.06942e8i | −1.24978 | + | 0.771659i | ||||
\(63\) | − | 2.22429e8i | − | 0.224124i | ||||||
\(64\) | 1.05692e9 | − | 1.89326e8i | 0.984332 | − | 0.176323i | ||||
\(65\) | −1.38813e9 | −1.19636 | ||||||||
\(66\) | 1.45857e8 | + | 2.36231e8i | 0.116469 | + | 0.188633i | ||||
\(67\) | −4.22476e7 | + | 4.22476e7i | −0.0312916 | + | 0.0312916i | −0.722579 | − | 0.691288i | \(-0.757044\pi\) |
0.691288 | + | 0.722579i | \(0.257044\pi\) | |||||||
\(68\) | 1.70307e7 | − | 3.39875e7i | 0.0117135 | − | 0.0233763i | ||||
\(69\) | −1.70699e8 | + | 1.70699e8i | −0.109141 | + | 0.109141i | ||||
\(70\) | −4.02392e9 | − | 9.51762e8i | −2.39419 | − | 0.566289i | ||||
\(71\) | 1.24987e9 | 0.692747 | 0.346373 | − | 0.938097i | \(-0.387413\pi\) | ||||
0.346373 | + | 0.938097i | \(0.387413\pi\) | |||||||
\(72\) | −2.46830e7 | − | 2.77780e8i | −0.0127566 | − | 0.143562i | ||||
\(73\) | 1.86037e8i | 0.0897399i | 0.998993 | + | 0.0448700i | \(0.0142873\pi\) | ||||
−0.998993 | + | 0.0448700i | \(0.985713\pi\) | |||||||
\(74\) | 3.15172e9 | + | 7.45464e8i | 1.42033 | + | 0.335945i | ||||
\(75\) | −2.69781e9 | − | 2.69781e9i | −1.13685 | − | 1.13685i | ||||
\(76\) | −1.12624e9 | − | 3.38852e9i | −0.444184 | − | 1.33642i | ||||
\(77\) | −6.16870e8 | − | 6.16870e8i | −0.227898 | − | 0.227898i | ||||
\(78\) | 1.22686e9 | + | 1.98702e9i | 0.424933 | + | 0.688224i | ||||
\(79\) | − | 3.24767e9i | − | 1.05545i | −0.849417 | − | 0.527723i | \(-0.823046\pi\) | ||
0.849417 | − | 0.527723i | \(-0.176954\pi\) | |||||||
\(80\) | −5.13088e9 | − | 7.42072e8i | −1.56582 | − | 0.226463i | ||||
\(81\) | 3.91690e9 | 1.12335 | ||||||||
\(82\) | −8.69110e8 | + | 5.36618e8i | −0.234426 | + | 0.144743i | ||||
\(83\) | 1.80568e9 | − | 1.80568e9i | 0.458407 | − | 0.458407i | −0.439725 | − | 0.898132i | \(-0.644924\pi\) |
0.898132 | + | 0.439725i | \(0.144924\pi\) | |||||||
\(84\) | 2.19403e9 | + | 6.60119e9i | 0.524623 | + | 1.57843i | ||||
\(85\) | −1.29788e8 | + | 1.29788e8i | −0.0292510 | + | 0.0292510i | ||||
\(86\) | −7.69497e8 | + | 3.25333e9i | −0.163574 | + | 0.691569i | ||||
\(87\) | 8.52631e9 | 1.71066 | ||||||||
\(88\) | −8.38832e8 | − | 7.01923e8i | −0.158950 | − | 0.133008i | ||||
\(89\) | 1.74176e9i | 0.311916i | 0.987764 | + | 0.155958i | \(0.0498465\pi\) | ||||
−0.987764 | + | 0.155958i | \(0.950154\pi\) | |||||||
\(90\) | −3.09924e8 | + | 1.31032e9i | −0.0524859 | + | 0.221903i | ||||
\(91\) | −5.18871e9 | − | 5.18871e9i | −0.831481 | − | 0.831481i | ||||
\(92\) | 4.26060e8 | − | 8.50275e8i | 0.0646446 | − | 0.129009i | ||||
\(93\) | −7.72865e9 | − | 7.72865e9i | −1.11094 | − | 1.11094i | ||||
\(94\) | −1.35542e8 | + | 8.36880e7i | −0.0184686 | + | 0.0114031i | ||||
\(95\) | 1.72405e10i | 2.22809i | ||||||||
\(96\) | 3.47255e9 | + | 8.00042e9i | 0.425885 | + | 0.981198i | ||||
\(97\) | 1.21698e10 | 1.41718 | 0.708588 | − | 0.705622i | \(-0.249332\pi\) | ||||
0.708588 | + | 0.705622i | \(0.249332\pi\) | |||||||
\(98\) | −6.73462e9 | − | 1.09074e10i | −0.745045 | − | 1.20668i | ||||
\(99\) | −2.00873e8 | + | 2.00873e8i | −0.0211225 | + | 0.0211225i | ||||
\(100\) | 1.34381e10 | + | 6.73364e9i | 1.34381 | + | 0.673364i | ||||
\(101\) | −1.09920e10 | + | 1.09920e10i | −1.04585 | + | 1.04585i | −0.0469532 | + | 0.998897i | \(0.514951\pi\) |
−0.998897 | + | 0.0469532i | \(0.985049\pi\) | |||||||
\(102\) | 3.00494e8 | + | 7.10747e7i | 0.0272167 | + | 0.00643746i | ||||
\(103\) | −1.00075e10 | −0.863258 | −0.431629 | − | 0.902051i | \(-0.642061\pi\) | ||||
−0.431629 | + | 0.902051i | \(0.642061\pi\) | |||||||
\(104\) | −7.05570e9 | − | 5.90412e9i | −0.579927 | − | 0.485276i | ||||
\(105\) | − | 3.35864e10i | − | 2.63158i | ||||||
\(106\) | 1.86187e10 | + | 4.40382e9i | 1.39130 | + | 0.329079i | ||||
\(107\) | 5.65526e9 | + | 5.65526e9i | 0.403212 | + | 0.403212i | 0.879363 | − | 0.476151i | \(-0.157969\pi\) |
−0.476151 | + | 0.879363i | \(0.657969\pi\) | |||||||
\(108\) | −1.27647e10 | + | 4.24261e9i | −0.868746 | + | 0.288745i | ||||
\(109\) | 1.19223e10 | + | 1.19223e10i | 0.774870 | + | 0.774870i | 0.978954 | − | 0.204083i | \(-0.0654213\pi\) |
−0.204083 | + | 0.978954i | \(0.565421\pi\) | |||||||
\(110\) | 2.77442e9 | + | 4.49347e9i | 0.172270 | + | 0.279009i | ||||
\(111\) | 2.63064e10i | 1.56116i | ||||||||
\(112\) | −1.64050e10 | − | 2.19526e10i | −0.930865 | − | 1.24565i | ||||
\(113\) | 5.34527e9 | 0.290120 | 0.145060 | − | 0.989423i | \(-0.453662\pi\) | ||||
0.145060 | + | 0.989423i | \(0.453662\pi\) | |||||||
\(114\) | 2.46788e10 | − | 1.52376e10i | 1.28174 | − | 0.791392i | ||||
\(115\) | −3.24695e9 | + | 3.24695e9i | −0.161431 | + | 0.161431i | ||||
\(116\) | −3.18760e10 | + | 1.05946e10i | −1.51766 | + | 0.504424i | ||||
\(117\) | −1.68961e9 | + | 1.68961e9i | −0.0770650 | + | 0.0770650i | ||||
\(118\) | −2.13122e9 | + | 9.01049e9i | −0.0931574 | + | 0.393857i | ||||
\(119\) | −9.70277e8 | −0.0406594 | ||||||||
\(120\) | −3.72708e9 | − | 4.19443e10i | −0.149783 | − | 1.68565i | ||||
\(121\) | − | 2.48233e10i | − | 0.957044i | ||||||
\(122\) | 1.00601e10 | − | 4.25328e10i | 0.372224 | − | 1.57371i | ||||
\(123\) | −5.86658e9 | − | 5.86658e9i | −0.208382 | − | 0.208382i | ||||
\(124\) | 3.84974e10 | + | 1.92905e10i | 1.31318 | + | 0.658013i | ||||
\(125\) | −1.71755e10 | − | 1.71755e10i | −0.562807 | − | 0.562807i | ||||
\(126\) | −6.05633e9 | + | 3.73939e9i | −0.190703 | + | 0.117746i | ||||
\(127\) | 6.34853e9i | 0.192156i | 0.995374 | + | 0.0960781i | \(0.0306299\pi\) | ||||
−0.995374 | + | 0.0960781i | \(0.969370\pi\) | |||||||
\(128\) | −2.29235e10 | − | 2.55950e10i | −0.667161 | − | 0.744914i | ||||
\(129\) | −2.71545e10 | −0.760140 | ||||||||
\(130\) | 2.33366e10 | + | 3.77961e10i | 0.628523 | + | 1.01796i | ||||
\(131\) | −2.58385e10 | + | 2.58385e10i | −0.669746 | + | 0.669746i | −0.957657 | − | 0.287911i | \(-0.907039\pi\) |
0.287911 | + | 0.957657i | \(0.407039\pi\) | |||||||
\(132\) | 3.98004e9 | − | 7.94285e9i | 0.0993158 | − | 0.198201i | ||||
\(133\) | −6.44438e10 | + | 6.44438e10i | −1.54854 | + | 1.54854i | ||||
\(134\) | 1.86057e9 | + | 4.40074e8i | 0.0430648 | + | 0.0101859i | ||||
\(135\) | 6.49460e10 | 1.44838 | ||||||||
\(136\) | −1.21173e9 | + | 1.07672e8i | −0.0260442 | + | 0.00231423i | ||||
\(137\) | 1.89659e10i | 0.392980i | 0.980506 | + | 0.196490i | \(0.0629543\pi\) | ||||
−0.980506 | + | 0.196490i | \(0.937046\pi\) | |||||||
\(138\) | 7.51755e9 | + | 1.77810e9i | 0.150204 | + | 0.0355271i | ||||
\(139\) | −1.93924e10 | − | 1.93924e10i | −0.373729 | − | 0.373729i | 0.495104 | − | 0.868834i | \(-0.335130\pi\) |
−0.868834 | + | 0.495104i | \(0.835130\pi\) | |||||||
\(140\) | 4.17338e10 | + | 1.25564e11i | 0.775974 | + | 2.33467i | ||||
\(141\) | −9.14920e8 | − | 9.14920e8i | −0.0164168 | − | 0.0164168i | ||||
\(142\) | −2.10124e10 | − | 3.40317e10i | −0.363943 | − | 0.589443i | ||||
\(143\) | 9.37170e9i | 0.156725i | ||||||||
\(144\) | −7.14848e9 | + | 5.34200e9i | −0.115452 | + | 0.0862763i | ||||
\(145\) | 1.62183e11 | 2.53026 | ||||||||
\(146\) | 5.06545e9 | − | 3.12758e9i | 0.0763578 | − | 0.0471459i | ||||
\(147\) | 7.36263e10 | − | 7.36263e10i | 1.07262 | − | 1.07262i | ||||
\(148\) | −3.26878e10 | − | 9.83478e10i | −0.460338 | − | 1.38502i | ||||
\(149\) | 6.82578e10 | − | 6.82578e10i | 0.929439 | − | 0.929439i | −0.0682304 | − | 0.997670i | \(-0.521735\pi\) |
0.997670 | + | 0.0682304i | \(0.0217353\pi\) | |||||||
\(150\) | −2.81018e10 | + | 1.18811e11i | −0.370065 | + | 1.56458i | ||||
\(151\) | 6.53650e10 | 0.832646 | 0.416323 | − | 0.909217i | \(-0.363319\pi\) | ||||
0.416323 | + | 0.909217i | \(0.363319\pi\) | |||||||
\(152\) | −7.33292e10 | + | 8.76318e10i | −0.903772 | + | 1.08005i | ||||
\(153\) | 3.15953e8i | 0.00376848i | ||||||||
\(154\) | −6.42565e9 | + | 2.71668e10i | −0.0741846 | + | 0.313642i | ||||
\(155\) | −1.47010e11 | − | 1.47010e11i | −1.64319 | − | 1.64319i | ||||
\(156\) | 3.34775e10 | − | 6.68100e10i | 0.362352 | − | 0.723134i | ||||
\(157\) | −4.64668e10 | − | 4.64668e10i | −0.487130 | − | 0.487130i | 0.420270 | − | 0.907399i | \(-0.361936\pi\) |
−0.907399 | + | 0.420270i | \(0.861936\pi\) | |||||||
\(158\) | −8.84278e10 | + | 5.45984e10i | −0.898056 | + | 0.554491i | ||||
\(159\) | 1.55405e11i | 1.52925i | ||||||||
\(160\) | 6.60530e10 | + | 1.52180e11i | 0.629931 | + | 1.45130i | ||||
\(161\) | −2.42737e10 | −0.224391 | ||||||||
\(162\) | −6.58492e10 | − | 1.06650e11i | −0.590168 | − | 0.955839i | ||||
\(163\) | −1.94881e10 | + | 1.94881e10i | −0.169368 | + | 0.169368i | −0.786701 | − | 0.617334i | \(-0.788213\pi\) |
0.617334 | + | 0.786701i | \(0.288213\pi\) | |||||||
\(164\) | 2.92222e10 | + | 1.46428e10i | 0.246317 | + | 0.123426i | ||||
\(165\) | −3.03314e10 | + | 3.03314e10i | −0.248012 | + | 0.248012i | ||||
\(166\) | −7.95218e10 | − | 1.88090e10i | −0.630879 | − | 0.149219i | ||||
\(167\) | −1.78588e11 | −1.37490 | −0.687450 | − | 0.726232i | \(-0.741270\pi\) | ||||
−0.687450 | + | 0.726232i | \(0.741270\pi\) | |||||||
\(168\) | 1.42853e11 | − | 1.70716e11i | 1.06744 | − | 1.27564i | ||||
\(169\) | − | 5.90299e10i | − | 0.428192i | ||||||
\(170\) | 5.71584e9 | + | 1.35195e9i | 0.0402565 | + | 0.00952170i | ||||
\(171\) | 2.09850e10 | + | 2.09850e10i | 0.143525 | + | 0.143525i | ||||
\(172\) | 1.01518e11 | − | 3.37416e10i | 0.674377 | − | 0.224142i | ||||
\(173\) | 5.79481e10 | + | 5.79481e10i | 0.373946 | + | 0.373946i | 0.868912 | − | 0.494966i | \(-0.164820\pi\) |
−0.494966 | + | 0.868912i | \(0.664820\pi\) | |||||||
\(174\) | −1.43341e11 | − | 2.32155e11i | −0.898718 | − | 1.45557i | ||||
\(175\) | − | 3.83632e11i | − | 2.33735i | ||||||
\(176\) | −5.00997e9 | + | 3.46403e10i | −0.0296669 | + | 0.205125i | ||||
\(177\) | −7.52077e10 | −0.432909 | ||||||||
\(178\) | 4.74248e10 | − | 2.92817e10i | 0.265403 | − | 0.163869i | ||||
\(179\) | 9.96053e10 | − | 9.96053e10i | 0.542023 | − | 0.542023i | −0.382099 | − | 0.924121i | \(-0.624799\pi\) |
0.924121 | + | 0.382099i | \(0.124799\pi\) | |||||||
\(180\) | 4.08878e10 | − | 1.35898e10i | 0.216387 | − | 0.0719204i | ||||
\(181\) | −1.43128e11 | + | 1.43128e11i | −0.736770 | + | 0.736770i | −0.971952 | − | 0.235181i | \(-0.924432\pi\) |
0.235181 | + | 0.971952i | \(0.424432\pi\) | |||||||
\(182\) | −5.40484e10 | + | 2.28509e11i | −0.270661 | + | 1.14432i | ||||
\(183\) | 3.55008e11 | 1.72975 | ||||||||
\(184\) | −3.03142e10 | + | 2.69365e9i | −0.143733 | + | 0.0127718i | ||||
\(185\) | 5.00386e11i | 2.30912i | ||||||||
\(186\) | −8.05058e10 | + | 3.40367e11i | −0.361628 | + | 1.52891i | ||||
\(187\) | 8.76244e8 | + | 8.76244e8i | 0.00383192 | + | 0.00383192i | ||||
\(188\) | 4.55734e9 | + | 2.28361e9i | 0.0194054 | + | 0.00972374i | ||||
\(189\) | 2.42763e11 | + | 2.42763e11i | 1.00664 | + | 1.00664i | ||||
\(190\) | 4.69428e11 | − | 2.89841e11i | 1.89584 | − | 1.17055i | ||||
\(191\) | − | 1.17738e11i | − | 0.463180i | −0.972813 | − | 0.231590i | \(-0.925607\pi\) | ||
0.972813 | − | 0.231590i | \(-0.0743928\pi\) | |||||||
\(192\) | 1.59457e11 | − | 2.29051e11i | 0.611137 | − | 0.877861i | ||||
\(193\) | −3.28289e11 | −1.22594 | −0.612970 | − | 0.790106i | \(-0.710025\pi\) | ||||
−0.612970 | + | 0.790106i | \(0.710025\pi\) | |||||||
\(194\) | −2.04593e11 | − | 3.31360e11i | −0.744531 | − | 1.20585i | ||||
\(195\) | −2.55128e11 | + | 2.55128e11i | −0.904867 | + | 0.904867i | ||||
\(196\) | −1.83769e11 | + | 3.66742e11i | −0.635319 | + | 1.26789i | ||||
\(197\) | 1.07459e11 | − | 1.07459e11i | 0.362169 | − | 0.362169i | −0.502442 | − | 0.864611i | \(-0.667565\pi\) |
0.864611 | + | 0.502442i | \(0.167565\pi\) | |||||||
\(198\) | 8.84638e9 | + | 2.09240e9i | 0.0290696 | + | 0.00687573i | ||||
\(199\) | −5.25486e11 | −1.68382 | −0.841911 | − | 0.539617i | \(-0.818569\pi\) | ||||
−0.841911 | + | 0.539617i | \(0.818569\pi\) | |||||||
\(200\) | −4.25716e10 | − | 4.79098e11i | −0.133036 | − | 1.49718i | ||||
\(201\) | 1.55296e10i | 0.0473348i | ||||||||
\(202\) | 4.84084e11 | + | 1.14499e11i | 1.43934 | + | 0.340442i | ||||
\(203\) | 6.06227e11 | + | 6.06227e11i | 1.75855 | + | 1.75855i | ||||
\(204\) | −3.11655e9 | − | 9.37678e9i | −0.00882112 | − | 0.0265401i | ||||
\(205\) | −1.11591e11 | − | 1.11591e11i | −0.308219 | − | 0.308219i | ||||
\(206\) | 1.68242e11 | + | 2.72486e11i | 0.453523 | + | 0.734528i | ||||
\(207\) | 7.90429e9i | 0.0207975i | ||||||||
\(208\) | −4.21406e10 | + | 2.91371e11i | −0.108239 | + | 0.748393i | ||||
\(209\) | 1.16397e11 | 0.291883 | ||||||||
\(210\) | −9.14494e11 | + | 5.64640e11i | −2.23916 | + | 1.38253i | ||||
\(211\) | 2.23137e9 | − | 2.23137e9i | 0.00533531 | − | 0.00533531i | −0.704434 | − | 0.709769i | \(-0.748799\pi\) |
0.709769 | + | 0.704434i | \(0.248799\pi\) | |||||||
\(212\) | −1.93103e11 | − | 5.80989e11i | −0.450930 | − | 1.35671i | ||||
\(213\) | 2.29718e11 | − | 2.29718e11i | 0.523958 | − | 0.523958i | ||||
\(214\) | 5.89082e10 | − | 2.49056e11i | 0.131252 | − | 0.554917i | ||||
\(215\) | −5.16518e11 | −1.12433 | ||||||||
\(216\) | 3.30114e11 | + | 2.76235e11i | 0.702093 | + | 0.587502i | ||||
\(217\) | − | 1.09902e12i | − | 2.28407i | ||||||
\(218\) | 1.24190e11 | − | 5.25056e11i | 0.252233 | − | 1.06641i | ||||
\(219\) | 3.41923e10 | + | 3.41923e10i | 0.0678747 | + | 0.0678747i | ||||
\(220\) | 7.57063e10 | − | 1.51085e11i | 0.146899 | − | 0.293161i | ||||
\(221\) | 7.37039e9 | + | 7.37039e9i | 0.0139807 | + | 0.0139807i | ||||
\(222\) | 7.16274e11 | − | 4.42252e11i | 1.32836 | − | 0.820172i | ||||
\(223\) | 4.18867e11i | 0.759542i | 0.925081 | + | 0.379771i | \(0.123997\pi\) | ||||
−0.925081 | + | 0.379771i | \(0.876003\pi\) | |||||||
\(224\) | −3.21935e11 | + | 8.15736e11i | −0.570857 | + | 1.44647i | ||||
\(225\) | −1.24923e11 | −0.216635 | ||||||||
\(226\) | −8.98625e10 | − | 1.45542e11i | −0.152418 | − | 0.246857i | ||||
\(227\) | 3.41296e11 | − | 3.41296e11i | 0.566241 | − | 0.566241i | −0.364832 | − | 0.931073i | \(-0.618874\pi\) |
0.931073 | + | 0.364832i | \(0.118874\pi\) | |||||||
\(228\) | −8.29781e11 | − | 4.15791e11i | −1.34676 | − | 0.674840i | ||||
\(229\) | 2.37059e11 | − | 2.37059e11i | 0.376426 | − | 0.376426i | −0.493385 | − | 0.869811i | \(-0.664241\pi\) |
0.869811 | + | 0.493385i | \(0.164241\pi\) | |||||||
\(230\) | 1.42995e11 | + | 3.38220e10i | 0.222168 | + | 0.0525485i | ||||
\(231\) | −2.26753e11 | −0.344741 | ||||||||
\(232\) | 8.24358e11 | + | 6.89812e11i | 1.22652 | + | 1.02634i | ||||
\(233\) | 7.99650e11i | 1.16445i | 0.813028 | + | 0.582224i | \(0.197817\pi\) | ||||
−0.813028 | + | 0.582224i | \(0.802183\pi\) | |||||||
\(234\) | 7.44099e10 | + | 1.75999e10i | 0.106060 | + | 0.0250860i | ||||
\(235\) | −1.74031e10 | − | 1.74031e10i | −0.0242822 | − | 0.0242822i | ||||
\(236\) | 2.81168e11 | − | 9.34516e10i | 0.384066 | − | 0.127652i | ||||
\(237\) | −5.96897e11 | − | 5.96897e11i | −0.798285 | − | 0.798285i | ||||
\(238\) | 1.63119e10 | + | 2.64188e10i | 0.0213609 | + | 0.0345962i | ||||
\(239\) | − | 6.33692e11i | − | 0.812622i | −0.913735 | − | 0.406311i | \(-0.866815\pi\) | ||
0.913735 | − | 0.406311i | \(-0.133185\pi\) | |||||||
\(240\) | −1.07941e12 | + | 8.06632e11i | −1.35559 | + | 1.01302i | ||||
\(241\) | −6.63015e11 | −0.815527 | −0.407763 | − | 0.913088i | \(-0.633691\pi\) | ||||
−0.407763 | + | 0.913088i | \(0.633691\pi\) | |||||||
\(242\) | −6.75891e11 | + | 4.17318e11i | −0.814328 | + | 0.502794i | ||||
\(243\) | 1.71415e11 | − | 1.71415e11i | 0.202310 | − | 0.202310i | ||||
\(244\) | −1.32722e12 | + | 4.41126e11i | −1.53459 | + | 0.510051i | ||||
\(245\) | 1.40048e12 | − | 1.40048e12i | 1.58652 | − | 1.58652i | ||||
\(246\) | −6.11095e10 | + | 2.58363e11i | −0.0678318 | + | 0.286784i | ||||
\(247\) | 9.79051e11 | 1.06493 | ||||||||
\(248\) | −1.21959e11 | − | 1.37252e12i | −0.130003 | − | 1.46305i | ||||
\(249\) | − | 6.63744e11i | − | 0.693432i | ||||||
\(250\) | −1.78909e11 | + | 7.56405e11i | −0.183203 | + | 0.774558i | ||||
\(251\) | 8.91650e11 | + | 8.91650e11i | 0.895006 | + | 0.895006i | 0.994989 | − | 0.0999833i | \(-0.0318789\pi\) |
−0.0999833 | + | 0.994989i | \(0.531879\pi\) | |||||||
\(252\) | 2.03633e11 | + | 1.02037e11i | 0.200376 | + | 0.100405i | ||||
\(253\) | 2.19212e10 | + | 2.19212e10i | 0.0211477 | + | 0.0211477i | ||||
\(254\) | 1.72859e11 | − | 1.06729e11i | 0.163502 | − | 0.100952i | ||||
\(255\) | 4.77083e10i | 0.0442480i | ||||||||
\(256\) | −3.11525e11 | + | 1.05446e12i | −0.283331 | + | 0.959022i | ||||
\(257\) | 5.26674e11 | 0.469760 | 0.234880 | − | 0.972024i | \(-0.424530\pi\) | ||||
0.234880 | + | 0.972024i | \(0.424530\pi\) | |||||||
\(258\) | 4.56510e11 | + | 7.39366e11i | 0.399348 | + | 0.646787i | ||||
\(259\) | −1.87040e12 | + | 1.87040e12i | −1.60486 | + | 1.60486i | ||||
\(260\) | 6.36791e11 | − | 1.27082e12i | 0.535958 | − | 1.06959i | ||||
\(261\) | 1.97407e11 | − | 1.97407e11i | 0.162989 | − | 0.162989i | ||||
\(262\) | 1.13792e12 | + | 2.69147e11i | 0.921732 | + | 0.218014i | ||||
\(263\) | 4.72112e11 | 0.375203 | 0.187601 | − | 0.982245i | \(-0.439929\pi\) | ||||
0.187601 | + | 0.982245i | \(0.439929\pi\) | |||||||
\(264\) | −2.83180e11 | + | 2.51627e10i | −0.220822 | + | 0.0196218i | ||||
\(265\) | 2.95603e12i | 2.26193i | ||||||||
\(266\) | 2.83808e12 | + | 6.71281e11i | 2.13117 | + | 0.504076i | ||||
\(267\) | 3.20122e11 | + | 3.20122e11i | 0.235917 | + | 0.235917i | ||||
\(268\) | −1.92968e10 | − | 5.80582e10i | −0.0139576 | − | 0.0419942i | ||||
\(269\) | −6.07912e11 | − | 6.07912e11i | −0.431598 | − | 0.431598i | 0.457574 | − | 0.889172i | \(-0.348719\pi\) |
−0.889172 | + | 0.457574i | \(0.848719\pi\) | |||||||
\(270\) | −1.09185e12 | − | 1.76836e12i | −0.760926 | − | 1.23240i | ||||
\(271\) | − | 1.05806e12i | − | 0.723874i | −0.932202 | − | 0.361937i | \(-0.882115\pi\) | ||
0.932202 | − | 0.361937i | \(-0.117885\pi\) | |||||||
\(272\) | 2.33028e10 | + | 3.11830e10i | 0.0156518 | + | 0.0209446i | ||||
\(273\) | −1.90729e12 | −1.25778 | ||||||||
\(274\) | 5.16405e11 | − | 3.18846e11i | 0.334378 | − | 0.206457i | ||||
\(275\) | −3.46452e11 | + | 3.46452e11i | −0.220283 | + | 0.220283i | ||||
\(276\) | −7.79677e10 | − | 2.34581e11i | −0.0486821 | − | 0.146470i | ||||
\(277\) | −6.11243e11 | + | 6.11243e11i | −0.374813 | + | 0.374813i | −0.869227 | − | 0.494413i | \(-0.835383\pi\) |
0.494413 | + | 0.869227i | \(0.335383\pi\) | |||||||
\(278\) | −2.02001e11 | + | 8.54035e11i | −0.121655 | + | 0.514341i | ||||
\(279\) | −3.57878e11 | −0.211696 | ||||||||
\(280\) | 2.71727e12 | − | 3.24727e12i | 1.57886 | − | 1.88681i | ||||
\(281\) | − | 8.13166e11i | − | 0.464139i | −0.972699 | − | 0.232069i | \(-0.925450\pi\) | ||
0.972699 | − | 0.232069i | \(-0.0745496\pi\) | |||||||
\(282\) | −9.53031e9 | + | 4.02928e10i | −0.00534394 | + | 0.0225934i | ||||
\(283\) | −1.65712e12 | − | 1.65712e12i | −0.912895 | − | 0.912895i | 0.0836044 | − | 0.996499i | \(-0.473357\pi\) |
−0.996499 | + | 0.0836044i | \(0.973357\pi\) | |||||||
\(284\) | −5.73369e11 | + | 1.14425e12i | −0.310343 | + | 0.619342i | ||||
\(285\) | 3.16869e12 | + | 3.16869e12i | 1.68521 | + | 1.68521i | ||||
\(286\) | 2.55174e11 | − | 1.57553e11i | 0.133354 | − | 0.0823373i | ||||
\(287\) | − | 8.34237e11i | − | 0.428430i | ||||||
\(288\) | 2.65630e11 | + | 1.04832e11i | 0.134065 | + | 0.0529093i | ||||
\(289\) | −2.01462e12 | −0.999316 | ||||||||
\(290\) | −2.72655e12 | − | 4.41594e12i | −1.32930 | − | 2.15294i | ||||
\(291\) | 2.23672e12 | − | 2.23672e12i | 1.07188 | − | 1.07188i | ||||
\(292\) | −1.70316e11 | − | 8.53430e10i | −0.0802310 | − | 0.0402025i | ||||
\(293\) | −1.41632e12 | + | 1.41632e12i | −0.655877 | + | 0.655877i | −0.954402 | − | 0.298525i | \(-0.903506\pi\) |
0.298525 | + | 0.954402i | \(0.403506\pi\) | |||||||
\(294\) | −3.24248e12 | − | 7.66931e11i | −1.47618 | − | 0.349156i | ||||
\(295\) | −1.43056e12 | −0.640319 | ||||||||
\(296\) | −2.12829e12 | + | 2.54341e12i | −0.936640 | + | 1.11933i | ||||
\(297\) | − | 4.38472e11i | − | 0.189740i | ||||||
\(298\) | −3.00605e12 | − | 7.11010e11i | −1.27913 | − | 0.302548i | ||||
\(299\) | 1.84387e11 | + | 1.84387e11i | 0.0771568 | + | 0.0771568i | ||||
\(300\) | 3.70742e12 | − | 1.23223e12i | 1.52569 | − | 0.507092i | ||||
\(301\) | −1.93070e12 | − | 1.93070e12i | −0.781418 | − | 0.781418i | ||||
\(302\) | −1.09889e12 | − | 1.77977e12i | −0.437440 | − | 0.708481i | ||||
\(303\) | 4.04050e12i | 1.58206i | ||||||||
\(304\) | 3.61883e12 | + | 5.23386e11i | 1.39380 | + | 0.201583i | ||||
\(305\) | 6.75278e12 | 2.55849 | ||||||||
\(306\) | 8.60281e9 | − | 5.31167e9i | 0.00320652 | − | 0.00197981i | ||||
\(307\) | 1.31036e12 | − | 1.31036e12i | 0.480505 | − | 0.480505i | −0.424788 | − | 0.905293i | \(-0.639651\pi\) |
0.905293 | + | 0.424788i | \(0.139651\pi\) | |||||||
\(308\) | 8.47726e11 | − | 2.81758e11i | 0.305845 | − | 0.101654i | ||||
\(309\) | −1.83931e12 | + | 1.83931e12i | −0.652924 | + | 0.652924i | ||||
\(310\) | −1.53134e12 | + | 6.47429e12i | −0.534887 | + | 2.26143i | ||||
\(311\) | −2.51450e12 | −0.864270 | −0.432135 | − | 0.901809i | \(-0.642240\pi\) | ||||
−0.432135 | + | 0.901809i | \(0.642240\pi\) | |||||||
\(312\) | −2.38192e12 | + | 2.11652e11i | −0.805665 | + | 0.0715896i | ||||
\(313\) | − | 2.07780e12i | − | 0.691644i | −0.938300 | − | 0.345822i | \(-0.887600\pi\) | ||
0.938300 | − | 0.345822i | \(-0.112400\pi\) | |||||||
\(314\) | −4.84023e11 | + | 2.04638e12i | −0.158569 | + | 0.670408i | ||||
\(315\) | −7.77614e11 | − | 7.77614e11i | −0.250733 | − | 0.250733i | ||||
\(316\) | 2.97322e12 | + | 1.48984e12i | 0.943609 | + | 0.472829i | ||||
\(317\) | 7.27815e11 | + | 7.27815e11i | 0.227366 | + | 0.227366i | 0.811591 | − | 0.584226i | \(-0.198602\pi\) |
−0.584226 | + | 0.811591i | \(0.698602\pi\) | |||||||
\(318\) | 4.23138e12 | − | 2.61260e12i | 1.30121 | − | 0.803410i | ||||
\(319\) | − | 1.09495e12i | − | 0.331467i | ||||||
\(320\) | 3.03311e12 | − | 4.35688e12i | 0.903938 | − | 1.29845i | ||||
\(321\) | 2.07879e12 | 0.609938 | ||||||||
\(322\) | 4.08079e11 | + | 6.60927e11i | 0.117887 | + | 0.190930i | ||||
\(323\) | 9.15402e10 | − | 9.15402e10i | 0.0260375 | − | 0.0260375i | ||||
\(324\) | −1.79684e12 | + | 3.58590e12i | −0.503251 | + | 1.00432i | ||||
\(325\) | −2.91413e12 | + | 2.91413e12i | −0.803697 | + | 0.803697i | ||||
\(326\) | 8.58249e11 | + | 2.02998e11i | 0.233091 | + | 0.0551321i | ||||
\(327\) | 4.38248e12 | 1.17214 | ||||||||
\(328\) | −9.25752e10 | − | 1.04184e12i | −0.0243851 | − | 0.274429i | ||||
\(329\) | − | 1.30103e11i | − | 0.0337526i | ||||||
\(330\) | 1.33579e12 | + | 3.15948e11i | 0.341324 | + | 0.0807321i | ||||
\(331\) | −4.79981e12 | − | 4.79981e12i | −1.20805 | − | 1.20805i | −0.971658 | − | 0.236390i | \(-0.924036\pi\) |
−0.236390 | − | 0.971658i | \(-0.575964\pi\) | |||||||
\(332\) | 8.24754e11 | + | 2.48144e12i | 0.204472 | + | 0.615196i | ||||
\(333\) | 6.09063e11 | + | 6.09063e11i | 0.148745 | + | 0.148745i | ||||
\(334\) | 3.00235e12 | + | 4.86263e12i | 0.722320 | + | 1.16987i | ||||
\(335\) | 2.95396e11i | 0.0700133i | ||||||||
\(336\) | −7.04986e12 | − | 1.01961e12i | −1.64621 | − | 0.238088i | ||||
\(337\) | 4.02759e12 | 0.926607 | 0.463304 | − | 0.886200i | \(-0.346664\pi\) | ||||
0.463304 | + | 0.886200i | \(0.346664\pi\) | |||||||
\(338\) | −1.60727e12 | + | 9.92386e11i | −0.364340 | + | 0.224956i | ||||
\(339\) | 9.82423e11 | − | 9.82423e11i | 0.219432 | − | 0.219432i | ||||
\(340\) | −5.92814e10 | − | 1.78360e11i | −0.0130474 | − | 0.0392557i | ||||
\(341\) | −9.92514e11 | + | 9.92514e11i | −0.215261 | + | 0.215261i | ||||
\(342\) | 2.18591e11 | − | 9.24171e11i | 0.0467198 | − | 0.197525i | ||||
\(343\) | 3.08710e12 | 0.650250 | ||||||||
\(344\) | −2.62541e12 | − | 2.19691e12i | −0.545010 | − | 0.456057i | ||||
\(345\) | 1.19353e12i | 0.244196i | ||||||||
\(346\) | 6.03619e11 | − | 2.55202e12i | 0.121726 | − | 0.514639i | ||||
\(347\) | 1.80948e12 | + | 1.80948e12i | 0.359671 | + | 0.359671i | 0.863692 | − | 0.504021i | \(-0.168146\pi\) |
−0.504021 | + | 0.863692i | \(0.668146\pi\) | |||||||
\(348\) | −3.91137e12 | + | 7.80580e12i | −0.766360 | + | 1.52940i | ||||
\(349\) | −2.56712e12 | − | 2.56712e12i | −0.495815 | − | 0.495815i | 0.414317 | − | 0.910133i | \(-0.364020\pi\) |
−0.910133 | + | 0.414317i | \(0.864020\pi\) | |||||||
\(350\) | −1.04456e13 | + | 6.44946e12i | −1.98880 | + | 1.22796i | ||||
\(351\) | − | 3.68814e12i | − | 0.692263i | ||||||
\(352\) | 1.02741e12 | − | 4.45945e11i | 0.190122 | − | 0.0825217i | ||||
\(353\) | −5.57531e12 | −1.01717 | −0.508587 | − | 0.861011i | \(-0.669832\pi\) | ||||
−0.508587 | + | 0.861011i | \(0.669832\pi\) | |||||||
\(354\) | 1.26436e12 | + | 2.04777e12i | 0.227434 | + | 0.368353i | ||||
\(355\) | 4.36957e12 | − | 4.36957e12i | 0.774991 | − | 0.774991i | ||||
\(356\) | −1.59457e12 | − | 7.99016e11i | −0.278865 | − | 0.139735i | ||||
\(357\) | −1.78330e11 | + | 1.78330e11i | −0.0307527 | + | 0.0307527i | ||||
\(358\) | −4.38659e12 | − | 1.03754e12i | −0.745954 | − | 0.176437i | ||||
\(359\) | 7.28553e12 | 1.22177 | 0.610884 | − | 0.791720i | \(-0.290814\pi\) | ||||
0.610884 | + | 0.791720i | \(0.290814\pi\) | |||||||
\(360\) | −1.05741e12 | − | 8.84831e11i | −0.174877 | − | 0.146335i | ||||
\(361\) | − | 6.02875e12i | − | 0.983312i | ||||||
\(362\) | 6.30332e12 | + | 1.49090e12i | 1.01397 | + | 0.239831i | ||||
\(363\) | −4.56233e12 | − | 4.56233e12i | −0.723859 | − | 0.723859i | ||||
\(364\) | 7.13051e12 | − | 2.36996e12i | 1.11587 | − | 0.370881i | ||||
\(365\) | 6.50388e11 | + | 6.50388e11i | 0.100394 | + | 0.100394i | ||||
\(366\) | −5.96825e12 | − | 9.66621e12i | −0.908744 | − | 1.47181i | ||||
\(367\) | 3.99828e12i | 0.600542i | 0.953854 | + | 0.300271i | \(0.0970771\pi\) | ||||
−0.953854 | + | 0.300271i | \(0.902923\pi\) | |||||||
\(368\) | 5.82972e11 | + | 7.80113e11i | 0.0863791 | + | 0.115590i | ||||
\(369\) | −2.71654e11 | −0.0397086 | ||||||||
\(370\) | 1.36246e13 | − | 8.41228e12i | 1.96478 | − | 1.21312i | ||||
\(371\) | −1.10494e13 | + | 1.10494e13i | −1.57206 | + | 1.57206i | ||||
\(372\) | 1.06210e13 | − | 3.53009e12i | 1.49091 | − | 0.495532i | ||||
\(373\) | 6.58369e12 | − | 6.58369e12i | 0.911854 | − | 0.911854i | −0.0845641 | − | 0.996418i | \(-0.526950\pi\) |
0.996418 | + | 0.0845641i | \(0.0269498\pi\) | |||||||
\(374\) | 9.12743e9 | − | 3.85895e10i | 0.00124736 | − | 0.00527365i | ||||
\(375\) | −6.31347e12 | −0.851357 | ||||||||
\(376\) | −1.44375e10 | − | 1.62479e11i | −0.00192111 | − | 0.0216201i | ||||
\(377\) | − | 9.21000e12i | − | 1.20935i | ||||||
\(378\) | 2.52875e12 | − | 1.06912e13i | 0.327678 | − | 1.38538i | ||||
\(379\) | 7.91355e12 | + | 7.91355e12i | 1.01199 | + | 1.01199i | 0.999927 | + | 0.0120604i | \(0.00383903\pi\) |
0.0120604 | + | 0.999927i | \(0.496161\pi\) | |||||||
\(380\) | −1.57836e13 | − | 7.90895e12i | −1.99200 | − | 0.998162i | ||||
\(381\) | 1.16681e12 | + | 1.16681e12i | 0.145337 | + | 0.145337i | ||||
\(382\) | −3.20579e12 | + | 1.97936e12i | −0.394110 | + | 0.243337i | ||||
\(383\) | 1.20215e13i | 1.45870i | 0.684142 | + | 0.729349i | \(0.260177\pi\) | ||||
−0.684142 | + | 0.729349i | \(0.739823\pi\) | |||||||
\(384\) | −8.91735e12 | − | 4.91018e11i | −1.06802 | − | 0.0588086i | ||||
\(385\) | −4.31317e12 | −0.509909 | ||||||||
\(386\) | 5.51905e12 | + | 8.93868e12i | 0.644062 | + | 1.04313i | ||||
\(387\) | −6.28699e11 | + | 6.28699e11i | −0.0724249 | + | 0.0724249i | ||||
\(388\) | −5.58278e12 | + | 1.11414e13i | −0.634880 | + | 1.26701i | ||||
\(389\) | −7.67209e12 | + | 7.67209e12i | −0.861322 | + | 0.861322i | −0.991492 | − | 0.130169i | \(-0.958448\pi\) |
0.130169 | + | 0.991492i | \(0.458448\pi\) | |||||||
\(390\) | 1.12358e13 | + | 2.65755e12i | 1.24531 | + | 0.294549i | ||||
\(391\) | 3.44800e10 | 0.00377297 | ||||||||
\(392\) | 1.30751e13 | − | 1.16183e12i | 1.41259 | − | 0.125520i | ||||
\(393\) | 9.49784e12i | 1.01312i | ||||||||
\(394\) | −4.73246e12 | − | 1.11935e12i | −0.498432 | − | 0.117892i | ||||
\(395\) | −1.13539e13 | − | 1.13539e13i | −1.18075 | − | 1.18075i | ||||
\(396\) | −9.17495e10 | − | 2.76047e11i | −0.00942167 | − | 0.0283470i | ||||
\(397\) | −7.80668e12 | − | 7.80668e12i | −0.791615 | − | 0.791615i | 0.190142 | − | 0.981757i | \(-0.439105\pi\) |
−0.981757 | + | 0.190142i | \(0.939105\pi\) | |||||||
\(398\) | 8.83426e12 | + | 1.43080e13i | 0.884616 | + | 1.43273i | ||||
\(399\) | 2.36886e13i | 2.34247i | ||||||||
\(400\) | −1.23292e13 | + | 9.21354e12i | −1.20403 | + | 0.899760i | ||||
\(401\) | 1.81263e13 | 1.74818 | 0.874090 | − | 0.485763i | \(-0.161458\pi\) | ||||
0.874090 | + | 0.485763i | \(0.161458\pi\) | |||||||
\(402\) | 4.22842e11 | − | 2.61077e11i | 0.0402761 | − | 0.0248679i | ||||
\(403\) | −8.34837e12 | + | 8.34837e12i | −0.785374 | + | 0.785374i | ||||
\(404\) | −5.02064e12 | − | 1.51056e13i | −0.466501 | − | 1.40356i | ||||
\(405\) | 1.36935e13 | − | 1.36935e13i | 1.25672 | − | 1.25672i | ||||
\(406\) | 6.31478e12 | − | 2.66980e13i | 0.572438 | − | 2.42019i | ||||
\(407\) | 3.37827e12 | 0.302498 | ||||||||
\(408\) | −2.02918e11 | + | 2.42496e11i | −0.0179481 | + | 0.0214489i | ||||
\(409\) | 5.55158e12i | 0.485065i | 0.970143 | + | 0.242533i | \(0.0779782\pi\) | ||||
−0.970143 | + | 0.242533i | \(0.922022\pi\) | |||||||
\(410\) | −1.16239e12 | + | 4.91444e12i | −0.100331 | + | 0.424184i | ||||
\(411\) | 3.48579e12 | + | 3.48579e12i | 0.297230 | + | 0.297230i | ||||
\(412\) | 4.59087e12 | − | 9.16185e12i | 0.386731 | − | 0.771786i | ||||
\(413\) | −5.34732e12 | − | 5.34732e12i | −0.445027 | − | 0.445027i | ||||
\(414\) | 2.15219e11 | − | 1.32884e11i | 0.0176962 | − | 0.0109262i | ||||
\(415\) | − | 1.26254e13i | − | 1.02566i | ||||||
\(416\) | 8.64194e12 | − | 3.75100e12i | 0.693657 | − | 0.301079i | ||||
\(417\) | −7.12836e12 | −0.565339 | ||||||||
\(418\) | −1.95681e12 | − | 3.16926e12i | −0.153344 | − | 0.248357i | ||||
\(419\) | −1.20736e11 | + | 1.20736e11i | −0.00934904 | + | 0.00934904i | −0.711766 | − | 0.702417i | \(-0.752104\pi\) |
0.702417 | + | 0.711766i | \(0.252104\pi\) | |||||||
\(420\) | 3.07482e13 | + | 1.54075e13i | 2.35274 | + | 1.17892i | ||||
\(421\) | −1.42648e13 | + | 1.42648e13i | −1.07858 | + | 1.07858i | −0.0819482 | + | 0.996637i | \(0.526114\pi\) |
−0.996637 | + | 0.0819482i | \(0.973886\pi\) | |||||||
\(422\) | −9.82689e10 | − | 2.32432e10i | −0.00734267 | − | 0.00173673i | ||||
\(423\) | −4.23657e10 | −0.00312833 | ||||||||
\(424\) | −1.25729e13 | + | 1.50252e13i | −0.917498 | + | 1.09645i | ||||
\(425\) | 5.44936e11i | 0.0393008i | ||||||||
\(426\) | −1.01167e13 | − | 2.39286e12i | −0.721093 | − | 0.170557i | ||||
\(427\) | 2.52413e13 | + | 2.52413e13i | 1.77817 | + | 1.77817i | ||||
\(428\) | −7.77167e12 | + | 2.58306e12i | −0.541122 | + | 0.179852i | ||||
\(429\) | 1.72245e12 | + | 1.72245e12i | 0.118539 | + | 0.118539i | ||||
\(430\) | 8.68349e12 | + | 1.40638e13i | 0.590680 | + | 0.956668i | ||||
\(431\) | − | 2.03574e13i | − | 1.36879i | −0.729112 | − | 0.684395i | \(-0.760067\pi\) | ||
0.729112 | − | 0.684395i | \(-0.239933\pi\) | |||||||
\(432\) | 1.97162e12 | − | 1.36323e13i | 0.131040 | − | 0.906047i | ||||
\(433\) | −1.41241e12 | −0.0927942 | −0.0463971 | − | 0.998923i | \(-0.514774\pi\) | ||||
−0.0463971 | + | 0.998923i | \(0.514774\pi\) | |||||||
\(434\) | −2.99244e13 | + | 1.84763e13i | −1.94346 | + | 1.19996i | ||||
\(435\) | 2.98080e13 | − | 2.98080e13i | 1.91376 | − | 1.91376i | ||||
\(436\) | −1.63841e13 | + | 5.44558e12i | −1.03990 | + | 0.345630i | ||||
\(437\) | 2.29009e12 | − | 2.29009e12i | 0.143696 | − | 0.143696i | ||||
\(438\) | 3.56166e11 | − | 1.50582e12i | 0.0220944 | − | 0.0934119i | ||||
\(439\) | 2.38960e12 | 0.146555 | 0.0732777 | − | 0.997312i | \(-0.476654\pi\) | ||||
0.0732777 | + | 0.997312i | \(0.476654\pi\) | |||||||
\(440\) | −5.38649e12 | + | 4.78632e11i | −0.326620 | + | 0.0290227i | ||||
\(441\) | − | 3.40929e12i | − | 0.204395i | ||||||
\(442\) | 7.67739e10 | − | 3.24590e11i | 0.00455095 | − | 0.0192408i | ||||
\(443\) | −1.86600e13 | − | 1.86600e13i | −1.09369 | − | 1.09369i | −0.995131 | − | 0.0985578i | \(-0.968577\pi\) |
−0.0985578 | − | 0.995131i | \(-0.531423\pi\) | |||||||
\(444\) | −2.40834e13 | − | 1.20678e13i | −1.39573 | − | 0.699382i | ||||
\(445\) | 6.08920e12 | + | 6.08920e12i | 0.348947 | + | 0.348947i | ||||
\(446\) | 1.14050e13 | − | 7.04182e12i | 0.646278 | − | 0.399035i | ||||
\(447\) | − | 2.50906e13i | − | 1.40596i | ||||||
\(448\) | 2.76232e13 | − | 4.94814e12i | 1.53068 | − | 0.274190i | ||||
\(449\) | −9.36693e12 | −0.513293 | −0.256647 | − | 0.966505i | \(-0.582618\pi\) | ||||
−0.256647 | + | 0.966505i | \(0.582618\pi\) | |||||||
\(450\) | 2.10015e12 | + | 3.40141e12i | 0.113812 | + | 0.184330i | ||||
\(451\) | −7.53387e11 | + | 7.53387e11i | −0.0403771 | + | 0.0403771i | ||||
\(452\) | −2.45210e12 | + | 4.89357e12i | −0.129971 | + | 0.259378i | ||||
\(453\) | 1.20136e13 | − | 1.20136e13i | 0.629771 | − | 0.629771i | ||||
\(454\) | −1.50306e13 | − | 3.55512e12i | −0.779284 | − | 0.184321i | ||||
\(455\) | −3.62795e13 | −1.86039 | ||||||||
\(456\) | 2.62872e12 | + | 2.95835e13i | 0.133328 | + | 1.50046i | ||||
\(457\) | − | 4.79735e12i | − | 0.240669i | −0.992733 | − | 0.120334i | \(-0.961603\pi\) | ||
0.992733 | − | 0.120334i | \(-0.0383967\pi\) | |||||||
\(458\) | −1.04400e13 | − | 2.46934e12i | −0.518053 | − | 0.122533i | ||||
\(459\) | −3.44837e11 | − | 3.44837e11i | −0.0169258 | − | 0.0169258i | ||||
\(460\) | −1.48306e12 | − | 4.46208e12i | −0.0720061 | − | 0.216645i | ||||
\(461\) | 2.85615e13 | + | 2.85615e13i | 1.37176 | + | 1.37176i | 0.857842 | + | 0.513914i | \(0.171805\pi\) |
0.513914 | + | 0.857842i | \(0.328195\pi\) | |||||||
\(462\) | 3.81207e12 | + | 6.17405e12i | 0.181114 | + | 0.293332i | ||||
\(463\) | − | 2.53353e13i | − | 1.19075i | −0.803447 | − | 0.595376i | \(-0.797003\pi\) | ||
0.803447 | − | 0.595376i | \(-0.202997\pi\) | |||||||
\(464\) | 4.92353e12 | − | 3.40426e13i | 0.228921 | − | 1.58282i | ||||
\(465\) | −5.40388e13 | −2.48566 | ||||||||
\(466\) | 2.17730e13 | − | 1.34434e13i | 0.990804 | − | 0.611757i | ||||
\(467\) | −1.32024e13 | + | 1.32024e13i | −0.594384 | + | 0.594384i | −0.938813 | − | 0.344428i | \(-0.888073\pi\) |
0.344428 | + | 0.938813i | \(0.388073\pi\) | |||||||
\(468\) | −7.71736e11 | − | 2.32192e12i | −0.0343748 | − | 0.103423i | ||||
\(469\) | −1.10417e12 | + | 1.10417e12i | −0.0486598 | + | 0.0486598i | ||||
\(470\) | −1.81280e11 | + | 7.66429e11i | −0.00790426 | + | 0.0334181i | ||||
\(471\) | −1.70805e13 | −0.736880 | ||||||||
\(472\) | −7.27139e12 | − | 6.08460e12i | −0.310390 | − | 0.259730i | ||||
\(473\) | 3.48718e12i | 0.147289i | ||||||||
\(474\) | −6.21761e12 | + | 2.62872e13i | −0.259855 | + | 1.09863i | ||||
\(475\) | 3.61935e13 | + | 3.61935e13i | 1.49680 | + | 1.49680i | ||||
\(476\) | 4.45106e11 | − | 8.88284e11i | 0.0182150 | − | 0.0363511i | ||||
\(477\) | 3.59804e12 | + | 3.59804e12i | 0.145705 | + | 0.145705i | ||||
\(478\) | −1.72542e13 | + | 1.06534e13i | −0.691443 | + | 0.426921i | ||||
\(479\) | − | 8.30840e12i | − | 0.329488i | −0.986336 | − | 0.164744i | \(-0.947320\pi\) | ||
0.986336 | − | 0.164744i | \(-0.0526798\pi\) | |||||||
\(480\) | 4.01096e13 | + | 1.58295e13i | 1.57414 | + | 0.621241i | ||||
\(481\) | 2.84158e13 | 1.10366 | ||||||||
\(482\) | 1.11463e13 | + | 1.80527e13i | 0.428447 | + | 0.693914i | ||||
\(483\) | −4.46133e12 | + | 4.46133e12i | −0.169718 | + | 0.169718i | ||||
\(484\) | 2.27256e13 | + | 1.13875e13i | 0.855634 | + | 0.428746i | ||||
\(485\) | 4.25456e13 | − | 4.25456e13i | 1.58543 | − | 1.58543i | ||||
\(486\) | −7.54906e12 | − | 1.78555e12i | −0.278427 | − | 0.0658553i | ||||
\(487\) | 1.06812e13 | 0.389921 | 0.194960 | − | 0.980811i | \(-0.437542\pi\) | ||||
0.194960 | + | 0.980811i | \(0.437542\pi\) | |||||||
\(488\) | 3.43236e13 | + | 2.87216e13i | 1.24021 | + | 1.03779i | ||||
\(489\) | 7.16353e12i | 0.256202i | ||||||||
\(490\) | −6.16767e13 | − | 1.45882e13i | −2.18344 | − | 0.516440i | ||||
\(491\) | 7.67425e12 | + | 7.67425e12i | 0.268923 | + | 0.268923i | 0.828666 | − | 0.559743i | \(-0.189100\pi\) |
−0.559743 | + | 0.828666i | \(0.689100\pi\) | |||||||
\(492\) | 8.06208e12 | − | 2.67959e12i | 0.279654 | − | 0.0929485i | ||||
\(493\) | −8.61125e11 | − | 8.61125e11i | −0.0295686 | − | 0.0295686i | ||||
\(494\) | −1.64594e13 | − | 2.66577e13i | −0.559473 | − | 0.906126i | ||||
\(495\) | 1.40451e12i | 0.0472604i | ||||||||
\(496\) | −3.53207e13 | + | 2.63949e13i | −1.17658 | + | 0.879247i | ||||
\(497\) | 3.26662e13 | 1.07725 | ||||||||
\(498\) | −1.80725e13 | + | 1.11586e13i | −0.590026 | + | 0.364303i | ||||
\(499\) | 1.62221e13 | − | 1.62221e13i | 0.524331 | − | 0.524331i | −0.394546 | − | 0.918876i | \(-0.629098\pi\) |
0.918876 | + | 0.394546i | \(0.129098\pi\) | |||||||
\(500\) | 2.36032e13 | − | 7.84499e12i | 0.755303 | − | 0.251040i | ||||
\(501\) | −3.28233e13 | + | 3.28233e13i | −1.03990 | + | 1.03990i | ||||
\(502\) | 9.28791e12 | − | 3.92680e13i | 0.291340 | − | 1.23174i | ||||
\(503\) | 6.29489e12 | 0.195501 | 0.0977504 | − | 0.995211i | \(-0.468835\pi\) | ||||
0.0977504 | + | 0.995211i | \(0.468835\pi\) | |||||||
\(504\) | −6.45104e11 | − | 7.25996e12i | −0.0198370 | − | 0.223245i | ||||
\(505\) | 7.68562e13i | 2.34003i | ||||||||
\(506\) | 2.28343e11 | − | 9.65404e11i | 0.00688392 | − | 0.0291043i | ||||
\(507\) | −1.08493e13 | − | 1.08493e13i | −0.323863 | − | 0.323863i | ||||
\(508\) | −5.81205e12 | − | 2.91233e12i | −0.171795 | − | 0.0860840i | ||||
\(509\) | 3.34514e12 | + | 3.34514e12i | 0.0979098 | + | 0.0979098i | 0.754365 | − | 0.656455i | \(-0.227945\pi\) |
−0.656455 | + | 0.754365i | \(0.727945\pi\) | |||||||
\(510\) | 1.29901e12 | − | 8.02053e11i | 0.0376497 | − | 0.0232462i | ||||
\(511\) | 4.86219e12i | 0.139549i | ||||||||
\(512\) | 3.39481e13 | − | 9.24483e12i | 0.964863 | − | 0.262754i | ||||
\(513\) | −4.58067e13 | −1.28926 | ||||||||
\(514\) | −8.85422e12 | − | 1.43403e13i | −0.246794 | − | 0.399709i | ||||
\(515\) | −3.49864e13 | + | 3.49864e13i | −0.965746 | + | 0.965746i | ||||
\(516\) | 1.24569e13 | − | 2.48598e13i | 0.340535 | − | 0.679594i | ||||
\(517\) | −1.17494e11 | + | 1.17494e11i | −0.00318100 | + | 0.00318100i | ||||
\(518\) | 8.23720e13 | + | 1.94831e13i | 2.20867 | + | 0.522408i | ||||
\(519\) | 2.13009e13 | 0.565667 | ||||||||
\(520\) | −4.53076e13 | + | 4.02594e12i | −1.19167 | + | 0.105889i | ||||
\(521\) | 5.14980e13i | 1.34153i | 0.741668 | + | 0.670767i | \(0.234035\pi\) | ||||
−0.741668 | + | 0.670767i | \(0.765965\pi\) | |||||||
\(522\) | −8.69374e12 | − | 2.05630e12i | −0.224313 | − | 0.0530558i | ||||
\(523\) | −5.38368e13 | − | 5.38368e13i | −1.37585 | − | 1.37585i | −0.851507 | − | 0.524343i | \(-0.824311\pi\) |
−0.524343 | − | 0.851507i | \(-0.675689\pi\) | |||||||
\(524\) | −1.18018e13 | − | 3.55082e13i | −0.298740 | − | 0.898818i | ||||
\(525\) | −7.05088e13 | − | 7.05088e13i | −1.76785 | − | 1.76785i | ||||
\(526\) | −7.93695e12 | − | 1.28547e13i | −0.197117 | − | 0.319252i | ||||
\(527\) | 1.56113e12i | 0.0384048i | ||||||||
\(528\) | 5.44583e12 | + | 7.28743e12i | 0.132707 | + | 0.177584i | ||||
\(529\) | −4.05639e13 | −0.979178 | ||||||||
\(530\) | 8.04871e13 | − | 4.96955e13i | 1.92463 | − | 1.18833i | ||||
\(531\) | −1.74126e12 | + | 1.74126e12i | −0.0412469 | + | 0.0412469i | ||||
\(532\) | −2.94350e13 | − | 8.85610e13i | −0.690725 | − | 2.07819i | ||||
\(533\) | −6.33700e12 | + | 6.33700e12i | −0.147315 | + | 0.147315i | ||||
\(534\) | 3.33457e12 | − | 1.40981e13i | 0.0767951 | − | 0.324679i | ||||
\(535\) | 3.95417e13 | 0.902165 | ||||||||
\(536\) | −1.25641e12 | + | 1.50147e12i | −0.0283992 | + | 0.0339384i | ||||
\(537\) | − | 3.66135e13i | − | 0.819916i | ||||||
\(538\) | −6.33234e12 | + | 2.67723e13i | −0.140492 | + | 0.593983i | ||||
\(539\) | −9.45510e12 | − | 9.45510e12i | −0.207837 | − | 0.207837i | ||||
\(540\) | −2.97934e13 | + | 5.94578e13i | −0.648861 | + | 1.29491i | ||||
\(541\) | 2.48695e13 | + | 2.48695e13i | 0.536636 | + | 0.536636i | 0.922539 | − | 0.385903i | \(-0.126110\pi\) |
−0.385903 | + | 0.922539i | \(0.626110\pi\) | |||||||
\(542\) | −2.88089e13 | + | 1.77876e13i | −0.615929 | + | 0.380296i | ||||
\(543\) | 5.26118e13i | 1.11451i | ||||||||
\(544\) | 4.57297e11 | − | 1.15873e12i | 0.00959852 | − | 0.0243213i | ||||
\(545\) | 8.33612e13 | 1.73373 | ||||||||
\(546\) | 3.20646e13 | + | 5.19320e13i | 0.660789 | + | 1.07022i | ||||
\(547\) | 1.57563e12 | − | 1.57563e12i | 0.0321749 | − | 0.0321749i | −0.690836 | − | 0.723011i | \(-0.742757\pi\) |
0.723011 | + | 0.690836i | \(0.242757\pi\) | |||||||
\(548\) | −1.73632e13 | − | 8.70043e12i | −0.351339 | − | 0.176051i | ||||
\(549\) | 8.21939e12 | − | 8.21939e12i | 0.164808 | − | 0.164808i | ||||
\(550\) | 1.52577e13 | + | 3.60884e12i | 0.303162 | + | 0.0717057i | ||||
\(551\) | −1.14388e14 | −2.25228 | ||||||||
\(552\) | −5.07645e12 | + | 6.06660e12i | −0.0990523 | + | 0.118372i | ||||
\(553\) | − | 8.48797e13i | − | 1.64126i | ||||||
\(554\) | 2.69190e13 | + | 6.36704e12i | 0.515833 | + | 0.122008i | ||||
\(555\) | 9.19674e13 | + | 9.19674e13i | 1.74650 | + | 1.74650i | ||||
\(556\) | 2.66497e13 | − | 8.85755e12i | 0.501555 | − | 0.166702i | ||||
\(557\) | −1.01553e12 | − | 1.01553e12i | −0.0189416 | − | 0.0189416i | 0.697573 | − | 0.716514i | \(-0.254263\pi\) |
−0.716514 | + | 0.697573i | \(0.754263\pi\) | |||||||
\(558\) | 6.01649e12 | + | 9.74434e12i | 0.111217 | + | 0.180128i | ||||
\(559\) | 2.93319e13i | 0.537380i | ||||||||
\(560\) | −1.34099e14 | − | 1.93945e13i | −2.43492 | − | 0.352159i | ||||
\(561\) | 3.22095e11 | 0.00579654 | ||||||||
\(562\) | −2.21410e13 | + | 1.36706e13i | −0.394926 | + | 0.243841i | ||||
\(563\) | 5.85163e13 | − | 5.85163e13i | 1.03451 | − | 1.03451i | 0.0351281 | − | 0.999383i | \(-0.488816\pi\) |
0.999383 | − | 0.0351281i | \(-0.0111839\pi\) | |||||||
\(564\) | 1.25732e12 | − | 4.17894e11i | 0.0220318 | − | 0.00732269i | ||||
\(565\) | 1.86871e13 | − | 1.86871e13i | 0.324564 | − | 0.324564i | ||||
\(566\) | −1.72614e13 | + | 7.29789e13i | −0.297163 | + | 1.25636i | ||||
\(567\) | 1.02370e14 | 1.74686 | ||||||||
\(568\) | 4.07951e13 | − | 3.62497e12i | 0.690028 | − | 0.0613144i | ||||
\(569\) | − | 9.64364e13i | − | 1.61689i | −0.588574 | − | 0.808443i | \(-0.700311\pi\) | ||
0.588574 | − | 0.808443i | \(-0.299689\pi\) | |||||||
\(570\) | 3.30068e13 | − | 1.39548e14i | 0.548566 | − | 2.31926i | ||||
\(571\) | −2.96530e13 | − | 2.96530e13i | −0.488526 | − | 0.488526i | 0.419315 | − | 0.907841i | \(-0.362270\pi\) |
−0.907841 | + | 0.419315i | \(0.862270\pi\) | |||||||
\(572\) | −8.57975e12 | − | 4.29919e12i | −0.140118 | − | 0.0702111i | ||||
\(573\) | −2.16394e13 | − | 2.16394e13i | −0.350326 | − | 0.350326i | ||||
\(574\) | −2.27147e13 | + | 1.40248e13i | −0.364542 | + | 0.225081i | ||||
\(575\) | 1.36328e13i | 0.216893i | ||||||||
\(576\) | −1.61127e12 | − | 8.99500e12i | −0.0254131 | − | 0.141869i | ||||
\(577\) | −2.17271e13 | −0.339721 | −0.169861 | − | 0.985468i | \(-0.554332\pi\) | ||||
−0.169861 | + | 0.985468i | \(0.554332\pi\) | |||||||
\(578\) | 3.38689e13 | + | 5.48542e13i | 0.525003 | + | 0.850297i | ||||
\(579\) | −6.03371e13 | + | 6.03371e13i | −0.927238 | + | 0.927238i | ||||
\(580\) | −7.44000e13 | + | 1.48478e14i | −1.13353 | + | 2.26215i | ||||
\(581\) | 4.71926e13 | − | 4.71926e13i | 0.712843 | − | 0.712843i | ||||
\(582\) | −9.85044e13 | − | 2.32989e13i | −1.47517 | − | 0.348915i | ||||
\(583\) | 1.99571e13 | 0.296316 | ||||||||
\(584\) | 5.39557e11 | + | 6.07214e12i | 0.00794280 | + | 0.0893877i | ||||
\(585\) | 1.18138e13i | 0.172429i | ||||||||
\(586\) | 6.23742e13 | + | 1.47531e13i | 0.902645 | + | 0.213499i | ||||
\(587\) | −1.69648e13 | − | 1.69648e13i | −0.243422 | − | 0.243422i | 0.574843 | − | 0.818264i | \(-0.305063\pi\) |
−0.818264 | + | 0.574843i | \(0.805063\pi\) | |||||||
\(588\) | 3.36291e13 | + | 1.01180e14i | 0.478442 | + | 1.43949i | ||||
\(589\) | 1.03687e14 | + | 1.03687e14i | 1.46267 | + | 1.46267i | ||||
\(590\) | 2.40500e13 | + | 3.89515e13i | 0.336399 | + | 0.544834i | ||||
\(591\) | − | 3.95004e13i | − | 0.547853i | ||||||
\(592\) | 1.05032e14 | + | 1.51907e13i | 1.44449 | + | 0.208914i | ||||
\(593\) | −6.94902e13 | −0.947654 | −0.473827 | − | 0.880618i | \(-0.657128\pi\) | ||||
−0.473827 | + | 0.880618i | \(0.657128\pi\) | |||||||
\(594\) | −1.19388e13 | + | 7.37140e12i | −0.161446 | + | 0.0996823i | ||||
\(595\) | −3.39210e12 | + | 3.39210e12i | −0.0454866 | + | 0.0454866i | ||||
\(596\) | 3.11770e13 | + | 9.38024e13i | 0.414576 | + | 1.24733i | ||||
\(597\) | −9.65806e13 | + | 9.65806e13i | −1.27356 | + | 1.27356i | ||||
\(598\) | 1.92067e12 | − | 8.12035e12i | 0.0251158 | − | 0.106186i | ||||
\(599\) | −5.76484e12 | −0.0747572 | −0.0373786 | − | 0.999301i | \(-0.511901\pi\) | ||||
−0.0373786 | + | 0.999301i | \(0.511901\pi\) | |||||||
\(600\) | −9.58791e13 | − | 8.02304e13i | −1.23301 | − | 1.03177i | ||||
\(601\) | − | 5.22266e13i | − | 0.666069i | −0.942915 | − | 0.333035i | \(-0.891927\pi\) | ||
0.942915 | − | 0.333035i | \(-0.108073\pi\) | |||||||
\(602\) | −2.01113e13 | + | 8.50276e13i | −0.254365 | + | 1.07542i | ||||
\(603\) | 3.59552e11 | + | 3.59552e11i | 0.00450998 | + | 0.00450998i | ||||
\(604\) | −2.99856e13 | + | 5.98414e13i | −0.373017 | + | 0.744418i | ||||
\(605\) | −8.67823e13 | − | 8.67823e13i | −1.07067 | − | 1.07067i | ||||
\(606\) | 1.10015e14 | − | 6.79272e13i | 1.34614 | − | 0.831152i | ||||
\(607\) | 4.76946e13i | 0.578796i | 0.957209 | + | 0.289398i | \(0.0934551\pi\) | ||||
−0.957209 | + | 0.289398i | \(0.906545\pi\) | |||||||
\(608\) | −4.65874e13 | − | 1.07333e14i | −0.560726 | − | 1.29186i | ||||
\(609\) | 2.22840e14 | 2.66016 | ||||||||
\(610\) | −1.13525e14 | − | 1.83865e14i | −1.34413 | − | 2.17696i | ||||
\(611\) | −9.88284e11 | + | 9.88284e11i | −0.0116058 | + | 0.0116058i | ||||
\(612\) | −2.89254e11 | − | 1.44941e11i | −0.00336916 | − | 0.00168824i | ||||
\(613\) | −4.11673e13 | + | 4.11673e13i | −0.475609 | + | 0.475609i | −0.903724 | − | 0.428115i | \(-0.859178\pi\) |
0.428115 | + | 0.903724i | \(0.359178\pi\) | |||||||
\(614\) | −5.77078e13 | − | 1.36494e13i | −0.661291 | − | 0.156412i | ||||
\(615\) | −4.10193e13 | −0.466243 | ||||||||
\(616\) | −2.19234e13 | − | 1.83452e13i | −0.247174 | − | 0.206832i | ||||
\(617\) | − | 8.85732e13i | − | 0.990551i | −0.868736 | − | 0.495275i | \(-0.835067\pi\) | ||
0.868736 | − | 0.495275i | \(-0.164933\pi\) | |||||||
\(618\) | 8.10027e13 | + | 1.91593e13i | 0.898581 | + | 0.212538i | ||||
\(619\) | −3.06918e13 | − | 3.06918e13i | −0.337729 | − | 0.337729i | 0.517783 | − | 0.855512i | \(-0.326758\pi\) |
−0.855512 | + | 0.517783i | \(0.826758\pi\) | |||||||
\(620\) | 2.02027e14 | − | 6.71475e13i | 2.20521 | − | 0.732945i | ||||
\(621\) | −8.62687e12 | − | 8.62687e12i | −0.0934104 | − | 0.0934104i | ||||
\(622\) | 4.22727e13 | + | 6.84651e13i | 0.454055 | + | 0.735389i | ||||
\(623\) | 4.55219e13i | 0.485043i | ||||||||
\(624\) | 4.58068e13 | + | 6.12970e13i | 0.484180 | + | 0.647913i | ||||
\(625\) | 2.32534e13 | 0.243830 | ||||||||
\(626\) | −5.65747e13 | + | 3.49312e13i | −0.588505 | + | 0.363363i | ||||
\(627\) | 2.13928e13 | − | 2.13928e13i | 0.220765 | − | 0.220765i | ||||
\(628\) | 6.38564e13 | − | 2.12239e13i | 0.653742 | − | 0.217284i | ||||
\(629\) | 2.65685e12 | − | 2.65685e12i | 0.0269844 | − | 0.0269844i | ||||
\(630\) | −8.10005e12 | + | 3.42459e13i | −0.0816178 | + | 0.345069i | ||||
\(631\) | 1.20174e14 | 1.20133 | 0.600666 | − | 0.799500i | \(-0.294902\pi\) | ||||
0.600666 | + | 0.799500i | \(0.294902\pi\) | |||||||
\(632\) | −9.41909e12 | − | 1.06002e14i | −0.0934165 | − | 1.05130i | ||||
\(633\) | − | 8.20220e11i | − | 0.00807071i | ||||||
\(634\) | 7.58131e12 | − | 3.20528e13i | 0.0740113 | − | 0.312910i | ||||
\(635\) | 2.21945e13 | + | 2.21945e13i | 0.214970 | + | 0.214970i | ||||
\(636\) | −1.42272e14 | − | 7.12906e13i | −1.36721 | − | 0.685089i | ||||
\(637\) | −7.95301e13 | − | 7.95301e13i | −0.758288 | − | 0.758288i | ||||
\(638\) | −2.98134e13 | + | 1.84078e13i | −0.282039 | + | 0.174140i | ||||
\(639\) | − | 1.06372e13i | − | 0.0998439i | ||||||
\(640\) | −1.69621e14 | − | 9.33988e12i | −1.57972 | − | 0.0869844i | ||||
\(641\) | 3.91790e13 | 0.362046 | 0.181023 | − | 0.983479i | \(-0.442059\pi\) | ||||
0.181023 | + | 0.983479i | \(0.442059\pi\) | |||||||
\(642\) | −3.49478e13 | − | 5.66016e13i | −0.320438 | − | 0.518983i | ||||
\(643\) | −1.77735e13 | + | 1.77735e13i | −0.161703 | + | 0.161703i | −0.783321 | − | 0.621618i | \(-0.786476\pi\) |
0.621618 | + | 0.783321i | \(0.286476\pi\) | |||||||
\(644\) | 1.11353e13 | − | 2.22225e13i | 0.100525 | − | 0.200615i | ||||
\(645\) | −9.49324e13 | + | 9.49324e13i | −0.850385 | + | 0.850385i | ||||
\(646\) | −4.03140e12 | − | 9.53532e11i | −0.0358339 | − | 0.00847565i | ||||
\(647\) | −1.55422e14 | −1.37086 | −0.685428 | − | 0.728140i | \(-0.740385\pi\) | ||||
−0.685428 | + | 0.728140i | \(0.740385\pi\) | |||||||
\(648\) | 1.27845e14 | − | 1.13600e13i | 1.11895 | − | 0.0994271i | ||||
\(649\) | 9.65818e12i | 0.0838826i | ||||||||
\(650\) | 1.28337e14 | + | 3.03552e13i | 1.10608 | + | 0.261617i | ||||
\(651\) | −2.01993e14 | − | 2.01993e14i | −1.72755 | − | 1.72755i | ||||
\(652\) | −8.90126e12 | − | 2.67812e13i | −0.0755463 | − | 0.227296i | ||||
\(653\) | 7.37037e13 | + | 7.37037e13i | 0.620759 | + | 0.620759i | 0.945726 | − | 0.324966i | \(-0.105353\pi\) |
−0.324966 | + | 0.945726i | \(0.605353\pi\) | |||||||
\(654\) | −7.36765e13 | − | 1.19327e14i | −0.615800 | − | 0.997353i | ||||
\(655\) | 1.80663e14i | 1.49852i | ||||||||
\(656\) | −2.68109e13 | + | 2.00355e13i | −0.220695 | + | 0.164923i | ||||
\(657\) | 1.58329e12 | 0.0129340 | ||||||||
\(658\) | −3.54246e12 | + | 2.18724e12i | −0.0287194 | + | 0.0177324i | ||||
\(659\) | 1.11511e14 | − | 1.11511e14i | 0.897203 | − | 0.897203i | −0.0979852 | − | 0.995188i | \(-0.531240\pi\) |
0.995188 | + | 0.0979852i | \(0.0312398\pi\) | |||||||
\(660\) | −1.38540e13 | − | 4.16825e13i | −0.110626 | − | 0.332839i | ||||
\(661\) | −9.52850e13 | + | 9.52850e13i | −0.755122 | + | 0.755122i | −0.975430 | − | 0.220308i | \(-0.929294\pi\) |
0.220308 | + | 0.975430i | \(0.429294\pi\) | |||||||
\(662\) | −4.99974e13 | + | 2.11382e14i | −0.393240 | + | 1.66257i | ||||
\(663\) | 2.70925e12 | 0.0211486 | ||||||||
\(664\) | 5.36995e13 | − | 6.41734e13i | 0.416035 | − | 0.497181i | ||||
\(665\) | 4.50592e14i | 3.46478i | ||||||||
\(666\) | 6.34433e12 | − | 2.68230e13i | 0.0484189 | − | 0.204708i | ||||
\(667\) | −2.15430e13 | − | 2.15430e13i | −0.163184 | − | 0.163184i | ||||
\(668\) | 8.19259e13 | − | 1.63497e14i | 0.615941 | − | 1.22921i | ||||
\(669\) | 7.69847e13 | + | 7.69847e13i | 0.574479 | + | 0.574479i | ||||
\(670\) | 8.04307e12 | − | 4.96607e12i | 0.0595728 | − | 0.0367823i | ||||
\(671\) | − | 4.55902e13i | − | 0.335165i | ||||||
\(672\) | 9.07572e13 | + | 2.09096e14i | 0.662269 | + | 1.52580i | ||||
\(673\) | −2.09843e14 | −1.51991 | −0.759956 | − | 0.649975i | \(-0.774779\pi\) | ||||
−0.759956 | + | 0.649975i | \(0.774779\pi\) | |||||||
\(674\) | −6.77102e13 | − | 1.09664e14i | −0.486804 | − | 0.788431i | ||||
\(675\) | 1.36343e14 | − | 1.36343e14i | 0.973001 | − | 0.973001i | ||||
\(676\) | 5.40416e13 | + | 2.70795e13i | 0.382820 | + | 0.191826i | ||||
\(677\) | −4.07331e13 | + | 4.07331e13i | −0.286420 | + | 0.286420i | −0.835663 | − | 0.549243i | \(-0.814916\pi\) |
0.549243 | + | 0.835663i | \(0.314916\pi\) | |||||||
\(678\) | −4.32656e13 | − | 1.02334e13i | −0.301991 | − | 0.0714288i | ||||
\(679\) | 3.18064e14 | 2.20377 | ||||||||
\(680\) | −3.85979e12 | + | 4.61263e12i | −0.0265472 | + | 0.0317252i | ||||
\(681\) | − | 1.25455e14i | − | 0.856552i | ||||||
\(682\) | 4.37100e13 | + | 1.03386e13i | 0.296250 | + | 0.0700710i | ||||
\(683\) | −5.74561e13 | − | 5.74561e13i | −0.386574 | − | 0.386574i | 0.486889 | − | 0.873464i | \(-0.338131\pi\) |
−0.873464 | + | 0.486889i | \(0.838131\pi\) | |||||||
\(684\) | −2.88383e13 | + | 9.58497e12i | −0.192615 | + | 0.0640192i | ||||
\(685\) | 6.63049e13 | + | 6.63049e13i | 0.439635 | + | 0.439635i | ||||
\(686\) | −5.18991e13 | − | 8.40560e13i | −0.341617 | − | 0.553284i | ||||
\(687\) | − | 8.71395e13i | − | 0.569418i | ||||||
\(688\) | −1.56804e13 | + | 1.08418e14i | −0.101722 | + | 0.703333i | ||||
\(689\) | 1.67866e14 | 1.08110 | ||||||||
\(690\) | 3.24976e13 | − | 2.00652e13i | 0.207781 | − | 0.128291i | ||||
\(691\) | −6.51646e13 | + | 6.51646e13i | −0.413639 | + | 0.413639i | −0.883004 | − | 0.469365i | \(-0.844483\pi\) |
0.469365 | + | 0.883004i | \(0.344483\pi\) | |||||||
\(692\) | −7.96344e13 | + | 2.64680e13i | −0.501846 | + | 0.166798i | ||||
\(693\) | −5.24993e12 | + | 5.24993e12i | −0.0328464 | + | 0.0328464i | ||||
\(694\) | 1.88485e13 | − | 7.96888e13i | 0.117079 | − | 0.494994i | ||||
\(695\) | −1.35592e14 | −0.836199 | ||||||||
\(696\) | 2.78294e14 | − | 2.47286e13i | 1.70395 | − | 0.151409i | ||||
\(697\) | 1.18501e12i | 0.00720371i | ||||||||
\(698\) | −2.67406e13 | + | 1.13055e14i | −0.161396 | + | 0.682361i | ||||
\(699\) | 1.46970e14 | + | 1.46970e14i | 0.880729 | + | 0.880729i | ||||
\(700\) | 3.51213e14 | + | 1.75988e14i | 2.08968 | + | 1.04711i | ||||
\(701\) | 6.77411e12 | + | 6.77411e12i | 0.0400186 | + | 0.0400186i | 0.726833 | − | 0.686814i | \(-0.240991\pi\) |
−0.686814 | + | 0.726833i | \(0.740991\pi\) | |||||||
\(702\) | −1.00421e14 | + | 6.20034e13i | −0.589032 | + | 0.363689i | ||||
\(703\) | − | 3.52924e14i | − | 2.05544i | ||||||
\(704\) | −2.94147e13 | − | 2.04775e13i | −0.170099 | − | 0.118417i | ||||
\(705\) | −6.39714e12 | −0.0367316 | ||||||||
\(706\) | 9.37297e13 | + | 1.51805e14i | 0.534385 | + | 0.865492i | ||||
\(707\) | −2.87282e14 | + | 2.87282e14i | −1.62634 | + | 1.62634i | ||||
\(708\) | 3.45009e13 | − | 6.88524e13i | 0.193939 | − | 0.387037i | ||||
\(709\) | 1.98902e14 | − | 1.98902e14i | 1.11022 | − | 1.11022i | 0.117098 | − | 0.993120i | \(-0.462641\pi\) |
0.993120 | − | 0.117098i | \(-0.0373593\pi\) | |||||||
\(710\) | −1.92435e14 | − | 4.55158e13i | −1.06657 | − | 0.252273i | ||||
\(711\) | −2.76395e13 | −0.152119 | ||||||||
\(712\) | 5.05156e12 | + | 5.68499e13i | 0.0276074 | + | 0.310692i | ||||
\(713\) | 3.90552e13i | 0.211949i | ||||||||
\(714\) | 7.85360e12 | + | 1.85758e12i | 0.0423231 | + | 0.0100105i | ||||
\(715\) | 3.27635e13 | + | 3.27635e13i | 0.175332 | + | 0.175332i | ||||
\(716\) | 4.54952e13 | + | 1.36881e14i | 0.241769 | + | 0.727410i | ||||
\(717\) | −1.16468e14 | − | 1.16468e14i | −0.614626 | − | 0.614626i | ||||
\(718\) | −1.22481e14 | − | 1.98371e14i | −0.641871 | − | 1.03958i | ||||
\(719\) | 3.08820e14i | 1.60717i | 0.595193 | + | 0.803583i | \(0.297076\pi\) | ||||
−0.595193 | + | 0.803583i | \(0.702924\pi\) | |||||||
\(720\) | −6.31547e12 | + | 4.36668e13i | −0.0326395 | + | 0.225678i | ||||
\(721\) | −2.61553e14 | −1.34240 | ||||||||
\(722\) | −1.64152e14 | + | 1.01353e14i | −0.836680 | + | 0.516595i | ||||
\(723\) | −1.21857e14 | + | 1.21857e14i | −0.616823 | + | 0.616823i | ||||
\(724\) | −6.53744e13 | − | 1.96692e14i | −0.328636 | − | 0.988767i | ||||
\(725\) | 3.40475e14 | − | 3.40475e14i | 1.69979 | − | 1.69979i | ||||
\(726\) | −4.75237e13 | + | 2.00924e14i | −0.235628 | + | 0.996204i | ||||
\(727\) | −2.19937e12 | −0.0108299 | −0.00541497 | − | 0.999985i | \(-0.501724\pi\) | ||||
−0.00541497 | + | 0.999985i | \(0.501724\pi\) | |||||||
\(728\) | −1.84405e14 | − | 1.54308e14i | −0.901811 | − | 0.754624i | ||||
\(729\) | 1.68279e14i | 0.817321i | ||||||||
\(730\) | 6.77479e12 | − | 2.86429e13i | 0.0326800 | − | 0.138166i | ||||
\(731\) | 2.74250e12 | + | 2.74250e12i | 0.0131389 | + | 0.0131389i | ||||
\(732\) | −1.62857e14 | + | 3.25009e14i | −0.774910 | + | 1.54646i | ||||
\(733\) | −1.10887e14 | − | 1.10887e14i | −0.524037 | − | 0.524037i | 0.394751 | − | 0.918788i | \(-0.370831\pi\) |
−0.918788 | + | 0.394751i | \(0.870831\pi\) | |||||||
\(734\) | 1.08866e14 | − | 6.72174e13i | 0.510988 | − | 0.315502i | ||||
\(735\) | − | 5.14796e14i | − | 2.39993i | ||||||
\(736\) | 1.14403e13 | − | 2.89882e13i | 0.0529724 | − | 0.134224i | ||||
\(737\) | 1.99431e12 | 0.00917183 | ||||||||
\(738\) | 4.56694e12 | + | 7.39663e12i | 0.0208614 | + | 0.0337872i | ||||
\(739\) | 1.16552e14 | − | 1.16552e14i | 0.528807 | − | 0.528807i | −0.391410 | − | 0.920216i | \(-0.628013\pi\) |
0.920216 | + | 0.391410i | \(0.128013\pi\) | |||||||
\(740\) | −4.58101e14 | − | 2.29548e14i | −2.06444 | − | 1.03446i | ||||
\(741\) | 1.79943e14 | − | 1.79943e14i | 0.805458 | − | 0.805458i | ||||
\(742\) | 4.86612e14 | + | 1.15096e14i | 2.16353 | + | 0.511732i | ||||
\(743\) | −2.56883e13 | −0.113447 | −0.0567233 | − | 0.998390i | \(-0.518065\pi\) | ||||
−0.0567233 | + | 0.998390i | \(0.518065\pi\) | |||||||
\(744\) | −2.74674e14 | − | 2.29843e14i | −1.20490 | − | 1.00825i | ||||
\(745\) | − | 4.77260e14i | − | 2.07957i | ||||||
\(746\) | −2.89944e14 | − | 6.85793e13i | −1.25493 | − | 0.296824i | ||||
\(747\) | −1.53674e13 | − | 1.53674e13i | −0.0660691 | − | 0.0660691i | ||||
\(748\) | −1.20417e12 | + | 4.00228e11i | −0.00514255 | + | 0.00170923i | ||||
\(749\) | 1.47804e14 | + | 1.47804e14i | 0.627012 | + | 0.627012i | ||||
\(750\) | 1.06139e14 | + | 1.71904e14i | 0.447271 | + | 0.724402i | ||||
\(751\) | − | 1.52208e13i | − | 0.0637142i | −0.999492 | − | 0.0318571i | \(-0.989858\pi\) | ||
0.999492 | − | 0.0318571i | \(-0.0101422\pi\) | |||||||
\(752\) | −4.18128e12 | + | 3.12463e12i | −0.0173868 | + | 0.0129930i | ||||
\(753\) | 3.27758e14 | 1.35387 | ||||||||
\(754\) | −2.50771e14 | + | 1.54835e14i | −1.02901 | + | 0.635348i | ||||
\(755\) | 2.28516e14 | − | 2.28516e14i | 0.931500 | − | 0.931500i | ||||
\(756\) | −3.33614e14 | + | 1.10883e14i | −1.35094 | + | 0.449010i | ||||
\(757\) | −1.46843e14 | + | 1.46843e14i | −0.590711 | + | 0.590711i | −0.937823 | − | 0.347113i | \(-0.887162\pi\) |
0.347113 | + | 0.937823i | \(0.387162\pi\) | |||||||
\(758\) | 8.24318e13 | − | 3.48510e14i | 0.329419 | − | 1.39274i | ||||
\(759\) | 8.05793e12 | 0.0319900 | ||||||||
\(760\) | 5.00021e13 | + | 5.62721e14i | 0.197206 | + | 2.21935i | ||||
\(761\) | − | 2.31998e14i | − | 0.908992i | −0.890749 | − | 0.454496i | \(-0.849819\pi\) | ||
0.890749 | − | 0.454496i | \(-0.150181\pi\) | |||||||
\(762\) | 1.21542e13 | − | 5.13862e13i | 0.0473097 | − | 0.200019i | ||||
\(763\) | 3.11598e14 | + | 3.11598e14i | 1.20496 | + | 1.20496i | ||||
\(764\) | 1.07789e14 | + | 5.40113e13i | 0.414101 | + | 0.207500i | ||||
\(765\) | 1.10458e12 | + | 1.10458e12i | 0.00421588 | + | 0.00421588i | ||||
\(766\) | 3.27323e14 | − | 2.02101e14i | 1.24118 | − | 0.766345i | ||||
\(767\) | 8.12383e13i | 0.306044i | ||||||||
\(768\) | 1.36545e14 | + | 2.51058e14i | 0.511059 | + | 0.939652i | ||||
\(769\) | −4.30370e14 | −1.60033 | −0.800166 | − | 0.599779i | \(-0.795255\pi\) | ||||
−0.800166 | + | 0.599779i | \(0.795255\pi\) | |||||||
\(770\) | 7.25112e13 | + | 1.17439e14i | 0.267887 | + | 0.433871i | ||||
\(771\) | 9.67989e13 | − | 9.67989e13i | 0.355303 | − | 0.355303i | ||||
\(772\) | 1.50600e14 | − | 3.00547e14i | 0.549208 | − | 1.09604i | ||||
\(773\) | −3.24190e14 | + | 3.24190e14i | −1.17463 | + | 1.17463i | −0.193540 | + | 0.981092i | \(0.561997\pi\) |
−0.981092 | + | 0.193540i | \(0.938003\pi\) | |||||||
\(774\) | 2.76877e13 | + | 6.54887e12i | 0.0996741 | + | 0.0235755i | ||||
\(775\) | −6.17244e14 | −2.20774 | ||||||||
\(776\) | 3.97214e14 | − | 3.52956e13i | 1.41161 | − | 0.125433i | ||||
\(777\) | 6.87533e14i | 2.42766i | ||||||||
\(778\) | 3.37877e14 | + | 7.99166e13i | 1.18539 | + | 0.280375i | ||||
\(779\) | 7.87056e13 | + | 7.87056e13i | 0.274358 | + | 0.274358i | ||||
\(780\) | −1.16531e14 | − | 3.50606e14i | −0.403615 | − | 1.21436i | ||||
\(781\) | −2.95004e13 | − | 2.95004e13i | −0.101525 | − | 0.101525i | ||||
\(782\) | −5.79663e11 | − | 9.38824e11i | −0.00198217 | − | 0.00321034i | ||||
\(783\) | 4.30906e14i | 1.46411i | ||||||||
\(784\) | −2.51448e14 | − | 3.36480e14i | −0.848923 | − | 1.13600i | ||||
\(785\) | −3.24897e14 | −1.08993 | ||||||||
\(786\) | 2.58608e14 | − | 1.59674e14i | 0.862045 | − | 0.532256i | ||||
\(787\) | −7.68397e13 | + | 7.68397e13i | −0.254514 | + | 0.254514i | −0.822818 | − | 0.568304i | \(-0.807600\pi\) |
0.568304 | + | 0.822818i | \(0.307600\pi\) | |||||||
\(788\) | 4.90824e13 | + | 1.47674e14i | 0.161545 | + | 0.486042i | ||||
\(789\) | 8.67707e13 | − | 8.67707e13i | 0.283784 | − | 0.283784i | ||||
\(790\) | −1.18268e14 | + | 5.00021e14i | −0.384354 | + | 1.62500i | ||||
\(791\) | 1.39702e14 | 0.451149 | ||||||||
\(792\) | −5.97378e12 | + | 7.13895e12i | −0.0191701 | + | 0.0229091i | ||||
\(793\) | − | 3.83475e14i | − | 1.22284i | ||||||
\(794\) | −8.13186e13 | + | 3.43804e14i | −0.257684 | + | 1.08945i | ||||
\(795\) | 5.43296e14 | + | 5.43296e14i | 1.71081 | + | 1.71081i | ||||
\(796\) | 2.41062e14 | − | 4.81080e14i | 0.754335 | − | 1.50540i | ||||
\(797\) | 2.08719e13 | + | 2.08719e13i | 0.0649037 | + | 0.0649037i | 0.738814 | − | 0.673910i | \(-0.235386\pi\) |
−0.673910 | + | 0.738814i | \(0.735386\pi\) | |||||||
\(798\) | 6.44996e14 | − | 3.98243e14i | 1.99316 | − | 1.23065i | ||||
\(799\) | 1.84807e11i | 0.000567524i | ||||||||
\(800\) | 4.58141e14 | + | 1.80808e14i | 1.39814 | + | 0.551782i | ||||
\(801\) | 1.48234e13 | 0.0449557 | ||||||||
\(802\) | −3.04731e14 | − | 4.93544e14i | −0.918428 | − | 1.48749i | ||||
\(803\) | 4.39098e12 | − | 4.39098e12i | 0.0131518 | − | 0.0131518i | ||||
\(804\) | −1.42173e13 | − | 7.12407e12i | −0.0423191 | − | 0.0212055i | ||||
\(805\) | −8.48610e13 | + | 8.48610e13i | −0.251032 | + | 0.251032i | ||||
\(806\) | 3.67660e14 | + | 8.69612e13i | 1.08086 | + | 0.255653i | ||||
\(807\) | −2.23460e14 | −0.652877 | ||||||||
\(808\) | −3.26892e14 | + | 3.90652e14i | −0.949179 | + | 1.13431i | ||||
\(809\) | − | 1.47836e14i | − | 0.426616i | −0.976985 | − | 0.213308i | \(-0.931576\pi\) | ||
0.976985 | − | 0.213308i | \(-0.0684238\pi\) | |||||||
\(810\) | −6.03058e14 | − | 1.42639e14i | −1.72955 | − | 0.409084i | ||||
\(811\) | −2.86313e14 | − | 2.86313e14i | −0.816088 | − | 0.816088i | 0.169450 | − | 0.985539i | \(-0.445801\pi\) |
−0.985539 | + | 0.169450i | \(0.945801\pi\) | |||||||
\(812\) | −8.33099e14 | + | 2.76897e14i | −2.36002 | + | 0.784400i | ||||
\(813\) | −1.94464e14 | − | 1.94464e14i | −0.547502 | − | 0.547502i | ||||
\(814\) | −5.67941e13 | − | 9.19840e13i | −0.158921 | − | 0.257389i | ||||
\(815\) | 1.36261e14i | 0.378951i | ||||||||
\(816\) | 1.00141e13 | + | 1.44832e12i | 0.0276797 | + | 0.00400327i | ||||
\(817\) | 3.64302e14 | 1.00081 | ||||||||
\(818\) | 1.51159e14 | − | 9.33309e13i | 0.412732 | − | 0.254835i | ||||
\(819\) | −4.41589e13 | + | 4.41589e13i | −0.119839 | + | 0.119839i | ||||
\(820\) | 1.53353e14 | − | 5.09697e13i | 0.413639 | − | 0.137481i | ||||
\(821\) | 3.34949e14 | − | 3.34949e14i | 0.897971 | − | 0.897971i | −0.0972851 | − | 0.995257i | \(-0.531016\pi\) |
0.995257 | + | 0.0972851i | \(0.0310159\pi\) | |||||||
\(822\) | 3.63099e13 | − | 1.53513e14i | 0.0967533 | − | 0.409060i | ||||
\(823\) | −1.27724e14 | −0.338277 | −0.169138 | − | 0.985592i | \(-0.554098\pi\) | ||||
−0.169138 | + | 0.985592i | \(0.554098\pi\) | |||||||
\(824\) | −3.26640e14 | + | 2.90245e13i | −0.859870 | + | 0.0764062i | ||||
\(825\) | 1.27351e14i | 0.333221i | ||||||||
\(826\) | −5.57006e13 | + | 2.35495e14i | −0.144864 | + | 0.612464i | ||||
\(827\) | 1.89702e14 | + | 1.89702e14i | 0.490392 | + | 0.490392i | 0.908430 | − | 0.418037i | \(-0.137282\pi\) |
−0.418037 | + | 0.908430i | \(0.637282\pi\) | |||||||
\(828\) | −7.23634e12 | − | 3.62602e12i | −0.0185938 | − | 0.00931706i | ||||
\(829\) | 3.38586e14 | + | 3.38586e14i | 0.864761 | + | 0.864761i | 0.991887 | − | 0.127126i | \(-0.0405752\pi\) |
−0.127126 | + | 0.991887i | \(0.540575\pi\) | |||||||
\(830\) | −3.43765e14 | + | 2.12253e14i | −0.872713 | + | 0.538843i | ||||
\(831\) | 2.24684e14i | 0.566979i | ||||||||
\(832\) | −2.47417e14 | − | 1.72244e14i | −0.620602 | − | 0.432042i | ||||
\(833\) | −1.48719e13 | −0.0370803 | ||||||||
\(834\) | 1.19839e14 | + | 1.94092e14i | 0.297008 | + | 0.481035i | ||||
\(835\) | −6.24347e14 | + | 6.24347e14i | −1.53813 | + | 1.53813i | ||||
\(836\) | −5.33959e13 | + | 1.06561e14i | −0.130760 | + | 0.260955i | ||||
\(837\) | 3.90594e14 | − | 3.90594e14i | 0.950819 | − | 0.950819i | ||||
\(838\) | 5.31718e12 | + | 1.25765e12i | 0.0128665 | + | 0.00304327i | ||||
\(839\) | 3.59634e14 | 0.865070 | 0.432535 | − | 0.901617i | \(-0.357619\pi\) | ||||
0.432535 | + | 0.901617i | \(0.357619\pi\) | |||||||
\(840\) | −9.74094e13 | − | 1.09624e15i | −0.232919 | − | 2.62125i | ||||
\(841\) | 6.55350e14i | 1.55773i | ||||||||
\(842\) | 6.28216e14 | + | 1.48590e14i | 1.48439 | + | 0.351098i | ||||
\(843\) | −1.49454e14 | − | 1.49454e14i | −0.351051 | − | 0.351051i | ||||
\(844\) | 1.01919e12 | + | 3.06643e12i | 0.00237981 | + | 0.00716013i | ||||
\(845\) | −2.06369e14 | − | 2.06369e14i | −0.479028 | − | 0.479028i | ||||
\(846\) | 7.12234e11 | + | 1.15354e12i | 0.00164351 | + | 0.00266183i | ||||
\(847\) | − | 6.48770e14i | − | 1.48824i | ||||||
\(848\) | 6.20477e14 | + | 8.97387e13i | 1.41497 | + | 0.204645i | ||||
\(849\) | −6.09132e14 | −1.38093 | ||||||||
\(850\) | 1.48376e13 | − | 9.16124e12i | 0.0334402 | − | 0.0206471i | ||||
\(851\) | 6.64670e13 | − | 6.64670e13i | 0.148922 | − | 0.148922i | ||||
\(852\) | 1.04925e14 | + | 3.15687e14i | 0.233711 | + | 0.703167i | ||||
\(853\) | 3.10861e13 | − | 3.10861e13i | 0.0688368 | − | 0.0688368i | −0.671850 | − | 0.740687i | \(-0.734500\pi\) |
0.740687 | + | 0.671850i | \(0.234500\pi\) | |||||||
\(854\) | 2.62927e14 | − | 1.11162e15i | 0.578824 | − | 2.44719i | ||||
\(855\) | 1.46727e14 | 0.321129 | ||||||||
\(856\) | 2.00986e14 | + | 1.68182e14i | 0.437318 | + | 0.365942i | ||||
\(857\) | − | 4.02231e14i | − | 0.870104i | −0.900405 | − | 0.435052i | \(-0.856730\pi\) | ||
0.900405 | − | 0.435052i | \(-0.143270\pi\) | |||||||
\(858\) | 1.79420e13 | − | 7.58562e13i | 0.0385864 | − | 0.163138i | ||||
\(859\) | −1.16040e14 | − | 1.16040e14i | −0.248109 | − | 0.248109i | 0.572085 | − | 0.820194i | \(-0.306135\pi\) |
−0.820194 | + | 0.572085i | \(0.806135\pi\) | |||||||
\(860\) | 2.36948e14 | − | 4.72870e14i | 0.503688 | − | 1.00519i | ||||
\(861\) | −1.53327e14 | − | 1.53327e14i | −0.324043 | − | 0.324043i | ||||
\(862\) | −5.54295e14 | + | 3.42241e14i | −1.16467 | + | 0.719110i | ||||
\(863\) | − | 8.01235e14i | − | 1.67381i | −0.547348 | − | 0.836905i | \(-0.684363\pi\) | ||
0.547348 | − | 0.836905i | \(-0.315637\pi\) | |||||||
\(864\) | −4.04329e14 | + | 1.75497e14i | −0.839780 | + | 0.364503i | ||||
\(865\) | 4.05174e14 | 0.836683 | ||||||||
\(866\) | 2.37448e13 | + | 3.84573e13i | 0.0487506 | + | 0.0789567i | ||||
\(867\) | −3.70272e14 | + | 3.70272e14i | −0.755832 | + | 0.755832i | ||||
\(868\) | 1.00615e15 | + | 5.04168e14i | 2.04204 | + | 1.02324i | ||||
\(869\) | −7.66536e13 | + | 7.66536e13i | −0.154680 | + | 0.154680i | ||||
\(870\) | −1.31274e15 | − | 3.10497e14i | −2.63379 | − | 0.622961i | ||||
\(871\) | 1.67749e13 | 0.0334632 | ||||||||
\(872\) | 4.23716e14 | + | 3.54560e14i | 0.840412 | + | 0.703246i | ||||
\(873\) | − | 1.03572e14i | − | 0.204254i | ||||||
\(874\) | −1.00855e14 | − | 2.38548e13i | −0.197760 | − | 0.0467755i | ||||
\(875\) | −4.48892e14 | − | 4.48892e14i | −0.875189 | − | 0.875189i | ||||
\(876\) | −4.69883e13 | + | 1.56175e13i | −0.0910898 | + | 0.0302754i | ||||
\(877\) | 9.24183e13 | + | 9.24183e13i | 0.178139 | + | 0.178139i | 0.790544 | − | 0.612405i | \(-0.209798\pi\) |
−0.612405 | + | 0.790544i | \(0.709798\pi\) | |||||||
\(878\) | −4.01729e13 | − | 6.50642e13i | −0.0769947 | − | 0.124701i | ||||
\(879\) | 5.20618e14i | 0.992144i | ||||||||
\(880\) | 1.03588e14 | + | 1.38618e14i | 0.196288 | + | 0.262667i | ||||
\(881\) | −1.31735e14 | −0.248212 | −0.124106 | − | 0.992269i | \(-0.539606\pi\) | ||||
−0.124106 | + | 0.992269i | \(0.539606\pi\) | |||||||
\(882\) | −9.28286e13 | + | 5.73156e13i | −0.173916 | + | 0.107382i | ||||
\(883\) | 1.99062e14 | − | 1.99062e14i | 0.370839 | − | 0.370839i | −0.496944 | − | 0.867783i | \(-0.665544\pi\) |
0.867783 | + | 0.496944i | \(0.165544\pi\) | |||||||
\(884\) | −1.01287e13 | + | 3.36646e12i | −0.0187625 | + | 0.00623608i | ||||
\(885\) | −2.62927e14 | + | 2.62927e14i | −0.484305 | + | 0.484305i | ||||
\(886\) | −1.94373e14 | + | 8.21783e14i | −0.356014 | + | 1.50518i | ||||
\(887\) | 1.00259e15 | 1.82602 | 0.913012 | − | 0.407932i | \(-0.133750\pi\) | ||||
0.913012 | + | 0.407932i | \(0.133750\pi\) | |||||||
\(888\) | 7.62955e13 | + | 8.58625e14i | 0.138177 | + | 1.55503i | ||||
\(889\) | 1.65923e14i | 0.298811i | ||||||||
\(890\) | 6.34284e13 | − | 2.68166e14i | 0.113588 | − | 0.480236i | ||||
\(891\) | −9.24493e13 | − | 9.24493e13i | −0.164632 | − | 0.164632i | ||||
\(892\) | −3.83471e14 | − | 1.92152e14i | −0.679060 | − | 0.340267i | ||||
\(893\) | 1.22745e13 | + | 1.22745e13i | 0.0216145 | + | 0.0216145i | ||||
\(894\) | −6.83170e14 | + | 4.21812e14i | −1.19630 | + | 0.738638i | ||||
\(895\) | − | 6.96442e14i | − | 1.21275i | ||||||
\(896\) | −5.99118e14 | − | 6.68942e14i | −1.03746 | − | 1.15837i | ||||
\(897\) | 6.77780e13 | 0.116715 | ||||||||
\(898\) | 1.57473e14 | + | 2.55044e14i | 0.269665 | + | 0.436751i | ||||
\(899\) | 9.75389e14 | − | 9.75389e14i | 1.66104 | − | 1.66104i | ||||
\(900\) | 5.73073e13 | − | 1.14366e14i | 0.0970503 | − | 0.193680i | ||||
\(901\) | 1.56953e13 | − | 1.56953e13i | 0.0264329 | − | 0.0264329i | ||||
\(902\) | 3.31790e13 | + | 7.84769e12i | 0.0555687 | + | 0.0131434i | ||||
\(903\) | −7.09699e14 | −1.18205 | ||||||||
\(904\) | 1.74466e14 | − | 1.55027e13i | 0.288981 | − | 0.0256782i | ||||
\(905\) | 1.00075e15i | 1.64848i | ||||||||
\(906\) | −5.29076e14 | − | 1.25140e14i | −0.866716 | − | 0.205001i | ||||
\(907\) | −3.68117e14 | − | 3.68117e14i | −0.599720 | − | 0.599720i | 0.340518 | − | 0.940238i | \(-0.389398\pi\) |
−0.940238 | + | 0.340518i | \(0.889398\pi\) | |||||||
\(908\) | 1.55888e14 | + | 4.69021e14i | 0.252571 | + | 0.759912i | ||||
\(909\) | 9.35483e13 | + | 9.35483e13i | 0.150736 | + | 0.150736i | ||||
\(910\) | 6.09916e14 | + | 9.87823e14i | 0.977380 | + | 1.58297i | ||||
\(911\) | 1.03238e15i | 1.64530i | 0.568545 | + | 0.822652i | \(0.307506\pi\) | ||||
−0.568545 | + | 0.822652i | \(0.692494\pi\) | |||||||
\(912\) | 7.61309e14 | − | 5.68920e14i | 1.20667 | − | 0.901731i | ||||
\(913\) | −8.52380e13 | −0.134363 | ||||||||
\(914\) | −1.30623e14 | + | 8.06510e13i | −0.204780 | + | 0.126438i | ||||
\(915\) | 1.24111e15 | − | 1.24111e15i | 1.93511 | − | 1.93511i | ||||
\(916\) | 1.08278e14 | + | 3.25775e14i | 0.167904 | + | 0.505174i | ||||
\(917\) | −6.75303e14 | + | 6.75303e14i | −1.04148 | + | 1.04148i | ||||
\(918\) | −3.59201e12 | + | 1.51865e13i | −0.00550964 | + | 0.0232940i | ||||
\(919\) | 5.76490e14 | 0.879456 | 0.439728 | − | 0.898131i | \(-0.355075\pi\) | ||||
0.439728 | + | 0.898131i | \(0.355075\pi\) | |||||||
\(920\) | −9.65615e13 | + | 1.15396e14i | −0.146509 | + | 0.175085i | ||||
\(921\) | − | 4.81669e14i | − | 0.726859i | ||||||
\(922\) | 2.97512e14 | − | 1.25784e15i | 0.446530 | − | 1.88787i | ||||
\(923\) | −2.48138e14 | − | 2.48138e14i | −0.370412 | − | 0.370412i | ||||
\(924\) | 1.04021e14 | − | 2.07591e14i | 0.154440 | − | 0.308211i | ||||
\(925\) | 1.05047e15 | + | 1.05047e15i | 1.55123 | + | 1.55123i | ||||
\(926\) | −6.89833e14 | + | 4.25927e14i | −1.01319 | + | 0.625576i | ||||
\(927\) | 8.51699e13i | 0.124419i | ||||||||
\(928\) | −1.00969e15 | + | 4.38251e14i | −1.46706 | + | 0.636771i | ||||
\(929\) | 1.00771e15 | 1.45633 | 0.728163 | − | 0.685404i | \(-0.240374\pi\) | ||||
0.728163 | + | 0.685404i | \(0.240374\pi\) | |||||||
\(930\) | 9.08478e14 | + | 1.47138e15i | 1.30587 | + | 2.11499i | ||||
\(931\) | −9.87764e14 | + | 9.87764e14i | −1.41223 | + | 1.41223i | ||||
\(932\) | −7.32076e14 | − | 3.66832e14i | −1.04106 | − | 0.521661i | ||||
\(933\) | −4.62147e14 | + | 4.62147e14i | −0.653690 | + | 0.653690i | ||||
\(934\) | 5.81428e14 | + | 1.37523e14i | 0.818016 | + | 0.193482i | ||||
\(935\) | 6.12671e12 | 0.00857372 | ||||||||
\(936\) | −5.02475e13 | + | 6.00482e13i | −0.0699416 | + | 0.0835835i | ||||
\(937\) | − | 5.50566e14i | − | 0.762274i | −0.924519 | − | 0.381137i | \(-0.875533\pi\) | ||
0.924519 | − | 0.381137i | \(-0.124467\pi\) | |||||||
\(938\) | 4.86271e13 | + | 1.15016e13i | 0.0669676 | + | 0.0158396i | ||||
\(939\) | −3.81885e14 | − | 3.81885e14i | −0.523124 | − | 0.523124i | ||||
\(940\) | 2.39160e13 | − | 7.94895e12i | 0.0325874 | − | 0.0108311i | ||||
\(941\) | −8.84842e14 | − | 8.84842e14i | −1.19927 | − | 1.19927i | −0.974385 | − | 0.224887i | \(-0.927799\pi\) |
−0.224887 | − | 0.974385i | \(-0.572201\pi\) | |||||||
\(942\) | 2.87151e14 | + | 4.65071e14i | 0.387129 | + | 0.626996i | ||||
\(943\) | 2.96456e13i | 0.0397559i | ||||||||
\(944\) | −4.34288e13 | + | 3.00278e14i | −0.0579319 | + | 0.400556i | ||||
\(945\) | 1.69740e15 | 2.25230 | ||||||||
\(946\) | 9.49495e13 | − | 5.86251e13i | 0.125325 | − | 0.0773798i | ||||
\(947\) | 5.25029e13 | − | 5.25029e13i | 0.0689340 | − | 0.0689340i | −0.671799 | − | 0.740733i | \(-0.734478\pi\) |
0.740733 | + | 0.671799i | \(0.234478\pi\) | |||||||
\(948\) | 8.20279e14 | − | 2.72635e14i | 1.07132 | − | 0.356074i | ||||
\(949\) | 3.69340e13 | − | 3.69340e13i | 0.0479839 | − | 0.0479839i | ||||
\(950\) | 3.77011e14 | − | 1.59395e15i | 0.487232 | − | 2.05995i | ||||
\(951\) | 2.67534e14 | 0.343935 | ||||||||
\(952\) | −3.16693e13 | + | 2.81406e12i | −0.0404998 | + | 0.00359873i | ||||
\(953\) | − | 5.38588e14i | − | 0.685160i | −0.939489 | − | 0.342580i | \(-0.888699\pi\) | ||
0.939489 | − | 0.342580i | \(-0.111301\pi\) | |||||||
\(954\) | 3.74791e13 | − | 1.58456e14i | 0.0474293 | − | 0.200525i | ||||
\(955\) | −4.11613e14 | − | 4.11613e14i | −0.518170 | − | 0.518170i | ||||
\(956\) | 5.80142e14 | + | 2.90701e14i | 0.726516 | + | 0.364046i | ||||
\(957\) | −2.01244e14 | − | 2.01244e14i | −0.250705 | − | 0.250705i | ||||
\(958\) | −2.26222e14 | + | 1.39677e14i | −0.280354 | + | 0.173100i | ||||
\(959\) | 4.95685e14i | 0.611100i | ||||||||
\(960\) | −2.43299e14 | − | 1.35823e15i | −0.298390 | − | 1.66577i | ||||
\(961\) | −9.48648e14 | −1.15741 | ||||||||
\(962\) | −4.77714e14 | − | 7.73709e14i | −0.579820 | − | 0.939079i | ||||
\(963\) | 4.81296e13 | − | 4.81296e13i | 0.0581140 | − | 0.0581140i | ||||
\(964\) | 3.04152e14 | − | 6.06987e14i | 0.365348 | − | 0.729113i | ||||
\(965\) | −1.14770e15 | + | 1.14770e15i | −1.37149 | + | 1.37149i | ||||
\(966\) | 1.96476e14 | + | 4.64716e13i | 0.233573 | + | 0.0552462i | ||||
\(967\) | −9.06728e14 | −1.07237 | −0.536185 | − | 0.844100i | \(-0.680135\pi\) | ||||
−0.536185 | + | 0.844100i | \(0.680135\pi\) | |||||||
\(968\) | −7.19940e13 | − | 8.10216e14i | −0.0847071 | − | 0.953288i | ||||
\(969\) | − | 3.36489e13i | − | 0.0393869i | ||||||
\(970\) | −1.87370e15 | − | 4.43178e14i | −2.18193 | − | 0.516083i | ||||
\(971\) | 6.50122e14 | + | 6.50122e14i | 0.753180 | + | 0.753180i | 0.975071 | − | 0.221892i | \(-0.0712231\pi\) |
−0.221892 | + | 0.975071i | \(0.571223\pi\) | |||||||
\(972\) | 7.82945e13 | + | 2.35565e14i | 0.0902402 | + | 0.271506i | ||||
\(973\) | −5.06831e14 | − | 5.06831e14i | −0.581165 | − | 0.581165i | ||||
\(974\) | −1.79568e14 | − | 2.90830e14i | −0.204849 | − | 0.331775i | ||||
\(975\) | 1.07119e15i | 1.21575i | ||||||||
\(976\) | 2.05000e14 | − | 1.41742e15i | 0.231475 | − | 1.60048i | ||||
\(977\) | 1.05626e15 | 1.18658 | 0.593291 | − | 0.804988i | \(-0.297829\pi\) | ||||
0.593291 | + | 0.804988i | \(0.297829\pi\) | |||||||
\(978\) | 1.95050e14 | − | 1.20430e14i | 0.217997 | − | 0.134599i | ||||
\(979\) | 4.11102e13 | − | 4.11102e13i | 0.0457126 | − | 0.0457126i | ||||
\(980\) | 6.39675e14 | + | 1.92459e15i | 0.707667 | + | 2.12916i | ||||
\(981\) | 1.01466e14 | − | 1.01466e14i | 0.111680 | − | 0.111680i | ||||
\(982\) | 7.99391e13 | − | 3.37972e14i | 0.0875391 | − | 0.370103i | ||||
\(983\) | −3.10571e14 | −0.338372 | −0.169186 | − | 0.985584i | \(-0.554114\pi\) | ||||
−0.169186 | + | 0.985584i | \(0.554114\pi\) | |||||||
\(984\) | −2.08496e14 | − | 1.74467e14i | −0.226008 | − | 0.189120i | ||||
\(985\) | − | 7.51355e14i | − | 0.810334i | ||||||
\(986\) | −8.96994e12 | + | 3.79237e13i | −0.00962509 | + | 0.0406936i | ||||
\(987\) | −2.39120e13 | − | 2.39120e13i | −0.0255288 | − | 0.0255288i | ||||
\(988\) | −4.49131e14 | + | 8.96317e14i | −0.477077 | + | 0.952088i | ||||
\(989\) | 6.86099e13 | + | 6.86099e13i | 0.0725112 | + | 0.0725112i | ||||
\(990\) | 3.82420e13 | − | 2.36120e13i | 0.0402129 | − | 0.0248288i | ||||
\(991\) | 7.42475e14i | 0.776808i | 0.921489 | + | 0.388404i | \(0.126973\pi\) | ||||
−0.921489 | + | 0.388404i | \(0.873027\pi\) | |||||||
\(992\) | 1.31248e15 | + | 5.17977e14i | 1.36626 | + | 0.539203i | ||||
\(993\) | −1.76434e15 | −1.82741 | ||||||||
\(994\) | −5.49170e14 | − | 8.89439e14i | −0.565946 | − | 0.916609i | ||||
\(995\) | −1.83710e15 | + | 1.83710e15i | −1.88373 | + | 1.88373i | ||||
\(996\) | 6.07655e14 | + | 3.04487e14i | 0.619955 | + | 0.310650i | ||||
\(997\) | 1.23860e14 | − | 1.23860e14i | 0.125735 | − | 0.125735i | −0.641439 | − | 0.767174i | \(-0.721662\pi\) |
0.767174 | + | 0.641439i | \(0.221662\pi\) | |||||||
\(998\) | −7.14418e14 | − | 1.68979e14i | −0.721606 | − | 0.170679i | ||||
\(999\) | −1.32948e15 | −1.33615 |
(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 | 16.11.f.a.3.7 | ✓ | 38 | |
4.3 | odd | 2 | 64.11.f.a.47.5 | 38 | |||
8.3 | odd | 2 | 128.11.f.a.95.15 | 38 | |||
8.5 | even | 2 | 128.11.f.b.95.5 | 38 | |||
16.3 | odd | 4 | 128.11.f.b.31.5 | 38 | |||
16.5 | even | 4 | 64.11.f.a.15.5 | 38 | |||
16.11 | odd | 4 | inner | 16.11.f.a.11.7 | yes | 38 | |
16.13 | even | 4 | 128.11.f.a.31.15 | 38 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
16.11.f.a.3.7 | ✓ | 38 | 1.1 | even | 1 | trivial | |
16.11.f.a.11.7 | yes | 38 | 16.11 | odd | 4 | inner | |
64.11.f.a.15.5 | 38 | 16.5 | even | 4 | |||
64.11.f.a.47.5 | 38 | 4.3 | odd | 2 | |||
128.11.f.a.31.15 | 38 | 16.13 | even | 4 | |||
128.11.f.a.95.15 | 38 | 8.3 | odd | 2 | |||
128.11.f.b.31.5 | 38 | 16.3 | odd | 4 | |||
128.11.f.b.95.5 | 38 | 8.5 | even | 2 |