Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,9,Mod(2,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("27.2");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.f (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(10.9992224717\) |
Analytic rank: | \(0\) |
Dimension: | \(138\) |
Relative dimension: | \(23\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 2.15 | ||
Character | \(\chi\) | \(=\) | 27.2 |
Dual form | 27.9.f.a.14.15 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 13.3375 | + | 2.35175i | 0.833591 | + | 0.146985i | 0.574125 | − | 0.818768i | \(-0.305342\pi\) |
0.259466 | + | 0.965752i | \(0.416453\pi\) | |||||||
\(3\) | 34.9288 | + | 73.0820i | 0.431220 | + | 0.902247i | ||||
\(4\) | −68.2042 | − | 24.8243i | −0.266423 | − | 0.0969699i | ||||
\(5\) | −636.805 | − | 758.914i | −1.01889 | − | 1.21426i | −0.976579 | − | 0.215158i | \(-0.930973\pi\) |
−0.0423083 | − | 0.999105i | \(-0.513471\pi\) | |||||||
\(6\) | 293.990 | + | 1056.87i | 0.226844 | + | 0.815488i | ||||
\(7\) | −2502.00 | + | 910.653i | −1.04207 | + | 0.379281i | −0.805663 | − | 0.592375i | \(-0.798191\pi\) |
−0.236402 | + | 0.971655i | \(0.575968\pi\) | |||||||
\(8\) | −3853.85 | − | 2225.02i | −0.940882 | − | 0.543219i | ||||
\(9\) | −4120.96 | + | 5105.33i | −0.628099 | + | 0.778133i | ||||
\(10\) | −6708.58 | − | 11619.6i | −0.670858 | − | 1.16196i | ||||
\(11\) | 15349.9 | − | 18293.3i | 1.04842 | − | 1.24946i | 0.0808814 | − | 0.996724i | \(-0.474227\pi\) |
0.967536 | − | 0.252732i | \(-0.0813290\pi\) | |||||||
\(12\) | −568.081 | − | 5851.58i | −0.0273959 | − | 0.282194i | ||||
\(13\) | 4780.28 | + | 27110.3i | 0.167371 | + | 0.949208i | 0.946586 | + | 0.322451i | \(0.104507\pi\) |
−0.779215 | + | 0.626757i | \(0.784382\pi\) | |||||||
\(14\) | −35511.9 | + | 6261.71i | −0.924405 | + | 0.162997i | ||||
\(15\) | 33220.2 | − | 73046.9i | 0.656201 | − | 1.44290i | ||||
\(16\) | −31934.2 | − | 26796.0i | −0.487277 | − | 0.408874i | ||||
\(17\) | −105956. | + | 61173.5i | −1.26861 | + | 0.732432i | −0.974725 | − | 0.223409i | \(-0.928281\pi\) |
−0.293885 | + | 0.955841i | \(0.594948\pi\) | |||||||
\(18\) | −66969.6 | + | 58400.7i | −0.637952 | + | 0.556324i | ||||
\(19\) | −547.495 | + | 948.289i | −0.00420113 | + | 0.00727656i | −0.868118 | − | 0.496357i | \(-0.834671\pi\) |
0.863917 | + | 0.503634i | \(0.168004\pi\) | |||||||
\(20\) | 24593.2 | + | 67569.4i | 0.153708 | + | 0.422309i | ||||
\(21\) | −153944. | − | 151043.i | −0.791564 | − | 0.776647i | ||||
\(22\) | 247750. | − | 207887.i | 1.05760 | − | 0.887434i | ||||
\(23\) | 50471.0 | − | 138668.i | 0.180356 | − | 0.495524i | −0.816264 | − | 0.577680i | \(-0.803958\pi\) |
0.996619 | + | 0.0821558i | \(0.0261805\pi\) | |||||||
\(24\) | 27998.7 | − | 359365.i | 0.0843905 | − | 1.08315i | ||||
\(25\) | −102599. | + | 581870.i | −0.262654 | + | 1.48959i | ||||
\(26\) | 372825.i | 0.815853i | ||||||||
\(27\) | −517048. | − | 122845.i | −0.972917 | − | 0.231154i | ||||
\(28\) | 193253. | 0.314409 | ||||||||
\(29\) | −924074. | − | 162939.i | −1.30652 | − | 0.230374i | −0.523313 | − | 0.852140i | \(-0.675304\pi\) |
−0.783203 | + | 0.621766i | \(0.786415\pi\) | |||||||
\(30\) | 614861. | − | 896135.i | 0.759088 | − | 1.10634i | ||||
\(31\) | 131238. | + | 47766.6i | 0.142106 | + | 0.0517223i | 0.412094 | − | 0.911141i | \(-0.364798\pi\) |
−0.269988 | + | 0.962864i | \(0.587020\pi\) | |||||||
\(32\) | 369368. | + | 440196.i | 0.352257 | + | 0.419804i | ||||
\(33\) | 1.87306e6 | + | 482838.i | 1.57942 | + | 0.407142i | ||||
\(34\) | −1.55704e6 | + | 566717.i | −1.16516 | + | 0.424083i | ||||
\(35\) | 2.28439e6 | + | 1.31889e6i | 1.52229 | + | 0.878897i | ||||
\(36\) | 407803. | − | 245905.i | 0.242795 | − | 0.146406i | ||||
\(37\) | −379045. | − | 656525.i | −0.202248 | − | 0.350303i | 0.747005 | − | 0.664819i | \(-0.231491\pi\) |
−0.949252 | + | 0.314515i | \(0.898158\pi\) | |||||||
\(38\) | −9532.34 | + | 11360.2i | −0.00457157 | + | 0.00544818i | ||||
\(39\) | −1.81431e6 | + | 1.29628e6i | −0.784247 | + | 0.560327i | ||||
\(40\) | 765550. | + | 4.34165e6i | 0.299043 | + | 1.69596i | ||||
\(41\) | 4.60079e6 | − | 811243.i | 1.62816 | − | 0.287088i | 0.716361 | − | 0.697730i | \(-0.245806\pi\) |
0.911797 | + | 0.410641i | \(0.134695\pi\) | |||||||
\(42\) | −1.69801e6 | − | 2.37657e6i | −0.545685 | − | 0.763754i | ||||
\(43\) | −1.82392e6 | − | 1.53045e6i | −0.533498 | − | 0.447658i | 0.335810 | − | 0.941930i | \(-0.390990\pi\) |
−0.869307 | + | 0.494272i | \(0.835435\pi\) | |||||||
\(44\) | −1.50104e6 | + | 866629.i | −0.400482 | + | 0.231218i | ||||
\(45\) | 6.49876e6 | − | 123645.i | 1.58482 | − | 0.0301527i | ||||
\(46\) | 999268. | − | 1.73078e6i | 0.223178 | − | 0.386555i | ||||
\(47\) | 425686. | + | 1.16956e6i | 0.0872365 | + | 0.239680i | 0.975638 | − | 0.219387i | \(-0.0704058\pi\) |
−0.888401 | + | 0.459068i | \(0.848184\pi\) | |||||||
\(48\) | 842880. | − | 3.26976e6i | 0.158782 | − | 0.615958i | ||||
\(49\) | 1.01461e6 | − | 851361.i | 0.176001 | − | 0.147683i | ||||
\(50\) | −2.73683e6 | + | 7.51938e6i | −0.437893 | + | 1.20310i | ||||
\(51\) | −8.17158e6 | − | 5.60673e6i | −1.20788 | − | 0.828760i | ||||
\(52\) | 346960. | − | 1.96771e6i | 0.0474532 | − | 0.269121i | ||||
\(53\) | − | 6.96711e6i | − | 0.882977i | −0.897267 | − | 0.441489i | \(-0.854451\pi\) | ||
0.897267 | − | 0.441489i | \(-0.145549\pi\) | |||||||
\(54\) | −6.60721e6 | − | 2.85441e6i | −0.777039 | − | 0.335692i | ||||
\(55\) | −2.36579e7 | −2.58539 | ||||||||
\(56\) | 1.16686e7 | + | 2.05748e6i | 1.18649 | + | 0.209211i | ||||
\(57\) | −88426.2 | − | 6889.44i | −0.00837687 | − | 0.000652656i | ||||
\(58\) | −1.19416e7 | − | 4.34639e6i | −1.05524 | − | 0.384076i | ||||
\(59\) | 4.48304e6 | + | 5.34268e6i | 0.369968 | + | 0.440911i | 0.918621 | − | 0.395139i | \(-0.129304\pi\) |
−0.548653 | + | 0.836050i | \(0.684859\pi\) | |||||||
\(60\) | −4.07909e6 | + | 4.15744e6i | −0.314745 | + | 0.320790i | ||||
\(61\) | −2.36882e7 | + | 8.62179e6i | −1.71085 | + | 0.622699i | −0.996986 | − | 0.0775852i | \(-0.975279\pi\) |
−0.713865 | + | 0.700284i | \(0.753057\pi\) | |||||||
\(62\) | 1.63804e6 | + | 945725.i | 0.110856 | + | 0.0640026i | ||||
\(63\) | 5.66145e6 | − | 1.65263e7i | 0.359389 | − | 1.04909i | ||||
\(64\) | 9.22715e6 | + | 1.59819e7i | 0.549981 | + | 0.952595i | ||||
\(65\) | 1.75303e7 | − | 2.08918e7i | 0.982056 | − | 1.17037i | ||||
\(66\) | 2.38464e7 | + | 1.08448e7i | 1.25674 | + | 0.571540i | ||||
\(67\) | −3.60777e6 | − | 2.04607e7i | −0.179036 | − | 1.01536i | −0.933382 | − | 0.358885i | \(-0.883157\pi\) |
0.754346 | − | 0.656477i | \(-0.227954\pi\) | |||||||
\(68\) | 8.74520e6 | − | 1.54201e6i | 0.409010 | − | 0.0721195i | ||||
\(69\) | 1.18970e7 | − | 1.15498e6i | 0.524858 | − | 0.0509540i | ||||
\(70\) | 2.73663e7 | + | 2.29630e7i | 1.13979 | + | 0.956394i | ||||
\(71\) | −1.06620e7 | + | 6.15572e6i | −0.419571 | + | 0.242240i | −0.694894 | − | 0.719112i | \(-0.744549\pi\) |
0.275323 | + | 0.961352i | \(0.411215\pi\) | |||||||
\(72\) | 2.72411e7 | − | 1.05060e7i | 1.01366 | − | 0.390937i | ||||
\(73\) | 3.50114e6 | − | 6.06416e6i | 0.123287 | − | 0.213540i | −0.797775 | − | 0.602956i | \(-0.793990\pi\) |
0.921062 | + | 0.389415i | \(0.127323\pi\) | |||||||
\(74\) | −3.51151e6 | − | 9.64780e6i | −0.117103 | − | 0.321737i | ||||
\(75\) | −4.61079e7 | + | 1.28258e7i | −1.45724 | + | 0.405360i | ||||
\(76\) | 60882.1 | − | 51086.1i | 0.00182488 | − | 0.00153126i | ||||
\(77\) | −2.17466e7 | + | 5.97482e7i | −0.618625 | + | 1.69966i | ||||
\(78\) | −2.72468e7 | + | 1.30223e7i | −0.736101 | + | 0.351812i | ||||
\(79\) | 2.79249e6 | − | 1.58370e7i | 0.0716941 | − | 0.406598i | −0.927748 | − | 0.373207i | \(-0.878258\pi\) |
0.999442 | − | 0.0333910i | \(-0.0106306\pi\) | |||||||
\(80\) | 4.12991e7i | 1.00828i | ||||||||
\(81\) | −9.08211e6 | − | 4.20777e7i | −0.210983 | − | 0.977490i | ||||
\(82\) | 6.32706e7 | 1.39942 | ||||||||
\(83\) | 4.48356e6 | + | 790573.i | 0.0944737 | + | 0.0166583i | 0.220685 | − | 0.975345i | \(-0.429171\pi\) |
−0.126211 | + | 0.992003i | \(0.540282\pi\) | |||||||
\(84\) | 6.75010e6 | + | 1.41233e7i | 0.135579 | + | 0.283674i | ||||
\(85\) | 1.13898e8 | + | 4.14556e7i | 2.18194 | + | 0.794159i | ||||
\(86\) | −2.07272e7 | − | 2.47018e7i | −0.378920 | − | 0.451579i | ||||
\(87\) | −2.03689e7 | − | 7.32244e7i | −0.355541 | − | 1.27814i | ||||
\(88\) | −9.98592e7 | + | 3.63458e7i | −1.66517 | + | 0.606071i | ||||
\(89\) | −3.86601e7 | − | 2.23204e7i | −0.616174 | − | 0.355748i | 0.159204 | − | 0.987246i | \(-0.449107\pi\) |
−0.775378 | + | 0.631497i | \(0.782441\pi\) | |||||||
\(90\) | 8.69677e7 | + | 1.36344e7i | 1.32552 | + | 0.207809i | ||||
\(91\) | −3.66484e7 | − | 6.34768e7i | −0.534428 | − | 0.925656i | ||||
\(92\) | −6.88467e6 | + | 8.20483e6i | −0.0961018 | + | 0.114530i | ||||
\(93\) | 1.09309e6 | + | 1.12595e7i | 0.0146125 | + | 0.150518i | ||||
\(94\) | 2.92705e6 | + | 1.66001e7i | 0.0374903 | + | 0.212618i | ||||
\(95\) | 1.06832e6 | − | 188373.i | 0.0131161 | − | 0.00231273i | ||||
\(96\) | −1.92688e7 | + | 4.23697e7i | −0.226866 | + | 0.498850i | ||||
\(97\) | 1.19186e7 | + | 1.00009e7i | 0.134629 | + | 0.112967i | 0.707616 | − | 0.706598i | \(-0.249771\pi\) |
−0.572987 | + | 0.819565i | \(0.694215\pi\) | |||||||
\(98\) | 1.55345e7 | − | 8.96887e6i | 0.168420 | − | 0.0972374i | ||||
\(99\) | 3.01370e7 | + | 1.53752e8i | 0.313733 | + | 1.60059i | ||||
\(100\) | 2.14422e7 | − | 3.71390e7i | 0.214422 | − | 0.371390i | ||||
\(101\) | −5.97338e7 | − | 1.64117e8i | −0.574030 | − | 1.57714i | −0.798076 | − | 0.602557i | \(-0.794149\pi\) |
0.224046 | − | 0.974579i | \(-0.428073\pi\) | |||||||
\(102\) | −9.58024e7 | − | 9.39970e7i | −0.885066 | − | 0.868387i | ||||
\(103\) | 6.03092e7 | − | 5.06054e7i | 0.535839 | − | 0.449623i | −0.334273 | − | 0.942476i | \(-0.608491\pi\) |
0.870112 | + | 0.492854i | \(0.164046\pi\) | |||||||
\(104\) | 4.18986e7 | − | 1.15116e8i | 0.358151 | − | 0.984012i | ||||
\(105\) | −1.65964e7 | + | 2.13015e8i | −0.136539 | + | 1.75248i | ||||
\(106\) | 1.63849e7 | − | 9.29236e7i | 0.129784 | − | 0.736042i | ||||
\(107\) | 6.15134e7i | 0.469283i | 0.972082 | + | 0.234641i | \(0.0753916\pi\) | ||||
−0.972082 | + | 0.234641i | \(0.924608\pi\) | |||||||
\(108\) | 3.22153e7 | + | 2.12139e7i | 0.236792 | + | 0.155928i | ||||
\(109\) | −2.02005e7 | −0.143105 | −0.0715526 | − | 0.997437i | \(-0.522795\pi\) | ||||
−0.0715526 | + | 0.997437i | \(0.522795\pi\) | |||||||
\(110\) | −3.15536e8 | − | 5.56376e7i | −2.15516 | − | 0.380012i | ||||
\(111\) | 3.47406e7 | − | 5.06330e7i | 0.228847 | − | 0.333535i | ||||
\(112\) | 1.04301e8 | + | 3.79625e7i | 0.662852 | + | 0.241258i | ||||
\(113\) | 7.22019e7 | + | 8.60469e7i | 0.442828 | + | 0.527742i | 0.940578 | − | 0.339579i | \(-0.110285\pi\) |
−0.497750 | + | 0.867321i | \(0.665840\pi\) | |||||||
\(114\) | −1.16318e6 | − | 299844.i | −0.00688695 | − | 0.00177532i | ||||
\(115\) | −1.37377e8 | + | 5.00012e7i | −0.785459 | + | 0.285884i | ||||
\(116\) | 5.89809e7 | + | 3.40526e7i | 0.325746 | + | 0.188070i | ||||
\(117\) | −1.58107e8 | − | 8.73156e7i | −0.843736 | − | 0.465960i | ||||
\(118\) | 4.72277e7 | + | 8.18007e7i | 0.243595 | + | 0.421919i | ||||
\(119\) | 2.09393e8 | − | 2.49545e8i | 1.04418 | − | 1.24440i | ||||
\(120\) | −2.90557e8 | + | 2.07597e8i | −1.40122 | + | 1.00114i | ||||
\(121\) | −6.18021e7 | − | 3.50497e8i | −0.288311 | − | 1.63510i | ||||
\(122\) | −3.36216e8 | + | 5.92840e7i | −1.51768 | + | 0.267607i | ||||
\(123\) | 2.19987e8 | + | 3.07899e8i | 0.961118 | + | 1.34520i | ||||
\(124\) | −7.76519e6 | − | 6.51577e6i | −0.0328447 | − | 0.0275600i | ||||
\(125\) | 1.71783e8 | − | 9.91787e7i | 0.703622 | − | 0.406236i | ||||
\(126\) | 1.14375e8 | − | 2.07104e8i | 0.453784 | − | 0.821689i | ||||
\(127\) | −1.22668e8 | + | 2.12467e8i | −0.471536 | + | 0.816725i | −0.999470 | − | 0.0325610i | \(-0.989634\pi\) |
0.527934 | + | 0.849286i | \(0.322967\pi\) | |||||||
\(128\) | 3.51679e7 | + | 9.66229e7i | 0.131011 | + | 0.359948i | ||||
\(129\) | 4.81411e7 | − | 1.86753e8i | 0.173843 | − | 0.674385i | ||||
\(130\) | 2.82942e8 | − | 2.37417e8i | 0.990660 | − | 0.831262i | ||||
\(131\) | −1.43812e8 | + | 3.95121e8i | −0.488327 | + | 1.34167i | 0.413867 | + | 0.910337i | \(0.364178\pi\) |
−0.902194 | + | 0.431330i | \(0.858045\pi\) | |||||||
\(132\) | −1.15765e8 | − | 7.94291e7i | −0.381312 | − | 0.261628i | ||||
\(133\) | 506269. | − | 2.87120e6i | 0.00161799 | − | 0.00917606i | ||||
\(134\) | − | 2.81378e8i | − | 0.872713i | ||||||
\(135\) | 2.36030e8 | + | 4.70623e8i | 0.710611 | + | 1.41690i | ||||
\(136\) | 5.44450e8 | 1.59148 | ||||||||
\(137\) | 3.65675e8 | + | 6.44783e7i | 1.03804 | + | 0.183034i | 0.666593 | − | 0.745422i | \(-0.267752\pi\) |
0.371444 | + | 0.928456i | \(0.378863\pi\) | |||||||
\(138\) | 1.61392e8 | + | 1.25743e7i | 0.445006 | + | 0.0346712i | ||||
\(139\) | −3.96654e8 | − | 1.44370e8i | −1.06256 | − | 0.386739i | −0.249169 | − | 0.968460i | \(-0.580158\pi\) |
−0.813389 | + | 0.581721i | \(0.802380\pi\) | |||||||
\(140\) | −1.23064e8 | − | 1.46663e8i | −0.320347 | − | 0.381775i | ||||
\(141\) | −7.06054e7 | + | 7.19615e7i | −0.178633 | + | 0.182064i | ||||
\(142\) | −1.56681e8 | + | 5.70272e7i | −0.385357 | + | 0.140258i | ||||
\(143\) | 5.69314e8 | + | 3.28693e8i | 1.36147 | + | 0.786044i | ||||
\(144\) | 2.68402e8 | − | 5.26095e7i | 0.624216 | − | 0.122353i | ||||
\(145\) | 4.64798e8 | + | 8.05053e8i | 1.05146 | + | 1.82118i | ||||
\(146\) | 6.09578e7 | − | 7.26467e7i | 0.134158 | − | 0.159884i | ||||
\(147\) | 9.76583e7 | + | 4.44129e7i | 0.209141 | + | 0.0951129i | ||||
\(148\) | 9.55468e6 | + | 5.41873e7i | 0.0199145 | + | 0.112941i | ||||
\(149\) | −4.73599e8 | + | 8.35083e7i | −0.960873 | + | 0.169428i | −0.632019 | − | 0.774953i | \(-0.717773\pi\) |
−0.328854 | + | 0.944381i | \(0.606662\pi\) | |||||||
\(150\) | −6.45125e8 | + | 6.26298e7i | −1.27432 | + | 0.123713i | ||||
\(151\) | −3.88229e8 | − | 3.25763e8i | −0.746758 | − | 0.626605i | 0.187885 | − | 0.982191i | \(-0.439837\pi\) |
−0.934643 | + | 0.355586i | \(0.884281\pi\) | |||||||
\(152\) | 4.21993e6 | − | 2.43638e6i | 0.00790553 | − | 0.00456426i | ||||
\(153\) | 1.24328e8 | − | 7.93031e8i | 0.226883 | − | 1.44719i | ||||
\(154\) | −4.30557e8 | + | 7.45746e8i | −0.765504 | + | 1.32589i | ||||
\(155\) | −4.73220e7 | − | 1.30016e8i | −0.0819854 | − | 0.225253i | ||||
\(156\) | 1.55923e8 | − | 4.33731e7i | 0.263276 | − | 0.0732356i | ||||
\(157\) | −3.53896e8 | + | 2.96954e8i | −0.582475 | + | 0.488755i | −0.885759 | − | 0.464146i | \(-0.846361\pi\) |
0.303284 | + | 0.952900i | \(0.401917\pi\) | |||||||
\(158\) | 7.44895e7 | − | 2.04658e8i | 0.119527 | − | 0.328398i | ||||
\(159\) | 5.09171e8 | − | 2.43353e8i | 0.796663 | − | 0.380757i | ||||
\(160\) | 9.88555e7 | − | 5.60638e8i | 0.150842 | − | 0.855465i | ||||
\(161\) | 3.92908e8i | 0.584774i | ||||||||
\(162\) | −2.21759e7 | − | 5.82569e8i | −0.0321974 | − | 0.845838i | ||||
\(163\) | −4.56114e8 | −0.646134 | −0.323067 | − | 0.946376i | \(-0.604714\pi\) | ||||
−0.323067 | + | 0.946376i | \(0.604714\pi\) | |||||||
\(164\) | −3.33932e8 | − | 5.88811e7i | −0.461617 | − | 0.0813956i | ||||
\(165\) | −8.26342e8 | − | 1.72897e9i | −1.11487 | − | 2.33266i | ||||
\(166\) | 5.79401e7 | + | 2.10885e7i | 0.0763040 | + | 0.0277724i | ||||
\(167\) | 1.61471e8 | + | 1.92434e8i | 0.207601 | + | 0.247409i | 0.859791 | − | 0.510647i | \(-0.170594\pi\) |
−0.652190 | + | 0.758056i | \(0.726150\pi\) | |||||||
\(168\) | 2.57204e8 | + | 9.24627e8i | 0.322879 | + | 1.16073i | ||||
\(169\) | 5.44170e7 | − | 1.98062e7i | 0.0667095 | − | 0.0242803i | ||||
\(170\) | 1.42162e9 | + | 8.20774e8i | 1.70211 | + | 0.982715i | ||||
\(171\) | −2.58513e6 | − | 6.70300e6i | −0.00302341 | − | 0.00783944i | ||||
\(172\) | 8.64068e7 | + | 1.49661e8i | 0.0987265 | + | 0.170999i | ||||
\(173\) | −7.42345e8 | + | 8.84693e8i | −0.828746 | + | 0.987661i | 0.171251 | + | 0.985227i | \(0.445219\pi\) |
−0.999997 | + | 0.00243395i | \(0.999225\pi\) | |||||||
\(174\) | −9.94630e7 | − | 1.02453e9i | −0.108509 | − | 1.11771i | ||||
\(175\) | −2.73178e8 | − | 1.54927e9i | −0.291269 | − | 1.65187i | ||||
\(176\) | −9.80372e8 | + | 1.72866e8i | −1.02174 | + | 0.180160i | ||||
\(177\) | −2.33866e8 | + | 5.14243e8i | −0.238273 | + | 0.523932i | ||||
\(178\) | −4.63136e8 | − | 3.88617e8i | −0.461348 | − | 0.387117i | ||||
\(179\) | 6.53835e8 | − | 3.77492e8i | 0.636878 | − | 0.367702i | −0.146533 | − | 0.989206i | \(-0.546811\pi\) |
0.783411 | + | 0.621504i | \(0.213478\pi\) | |||||||
\(180\) | −4.46312e8 | − | 1.52894e8i | −0.425156 | − | 0.145647i | ||||
\(181\) | 1.14593e8 | − | 1.98480e8i | 0.106768 | − | 0.184928i | −0.807691 | − | 0.589606i | \(-0.799283\pi\) |
0.914459 | + | 0.404678i | \(0.132616\pi\) | |||||||
\(182\) | −3.39514e8 | − | 9.32808e8i | −0.309437 | − | 0.850171i | ||||
\(183\) | −1.45750e9 | − | 1.43003e9i | −1.29958 | − | 1.27509i | ||||
\(184\) | −5.03047e8 | + | 4.22107e8i | −0.438872 | + | 0.368257i | ||||
\(185\) | −2.56869e8 | + | 7.05741e8i | −0.219293 | + | 0.602502i | ||||
\(186\) | −1.19006e7 | + | 1.52744e8i | −0.00994298 | + | 0.127619i | ||||
\(187\) | −5.07342e8 | + | 2.87728e9i | −0.414891 | + | 2.35297i | ||||
\(188\) | − | 9.03366e7i | − | 0.0723156i | ||||||
\(189\) | 1.40552e9 | − | 1.63494e8i | 1.10152 | − | 0.128131i | ||||
\(190\) | 1.46916e7 | 0.0112734 | ||||||||
\(191\) | −9.71028e7 | − | 1.71218e7i | −0.0729623 | − | 0.0128652i | 0.137048 | − | 0.990564i | \(-0.456239\pi\) |
−0.210010 | + | 0.977699i | \(0.567350\pi\) | |||||||
\(192\) | −8.45696e8 | + | 1.23257e9i | −0.622313 | + | 0.906996i | ||||
\(193\) | 2.38182e9 | + | 8.66911e8i | 1.71664 | + | 0.624806i | 0.997540 | − | 0.0700985i | \(-0.0223314\pi\) |
0.719102 | + | 0.694905i | \(0.244554\pi\) | |||||||
\(194\) | 1.35444e8 | + | 1.61416e8i | 0.0956211 | + | 0.113957i | ||||
\(195\) | 2.13913e9 | + | 5.51425e8i | 1.47944 | + | 0.381371i | ||||
\(196\) | −9.03352e7 | + | 3.28793e7i | −0.0612115 | + | 0.0222792i | ||||
\(197\) | 3.70754e8 | + | 2.14055e8i | 0.246162 | + | 0.142122i | 0.618006 | − | 0.786174i | \(-0.287941\pi\) |
−0.371843 | + | 0.928295i | \(0.621274\pi\) | |||||||
\(198\) | 4.03642e7 | + | 2.12154e9i | 0.0262625 | + | 1.38035i | ||||
\(199\) | 4.87197e8 | + | 8.43850e8i | 0.310665 | + | 0.538088i | 0.978507 | − | 0.206216i | \(-0.0661149\pi\) |
−0.667842 | + | 0.744303i | \(0.732782\pi\) | |||||||
\(200\) | 1.69008e9 | − | 2.01416e9i | 1.05630 | − | 1.25885i | ||||
\(201\) | 1.36929e9 | − | 9.78331e8i | 0.838904 | − | 0.599379i | ||||
\(202\) | −4.10734e8 | − | 2.32939e9i | −0.246692 | − | 1.39906i | ||||
\(203\) | 2.46041e9 | − | 4.33837e8i | 1.44885 | − | 0.255472i | ||||
\(204\) | 4.18153e8 | + | 5.85256e8i | 0.241443 | + | 0.337929i | ||||
\(205\) | −3.54547e9 | − | 2.97500e9i | −2.00751 | − | 1.68450i | ||||
\(206\) | 9.23383e8 | − | 5.33115e8i | 0.512759 | − | 0.296041i | ||||
\(207\) | 4.99957e8 | + | 8.29116e8i | 0.272302 | + | 0.451579i | ||||
\(208\) | 5.73793e8 | − | 9.93838e8i | 0.306550 | − | 0.530961i | ||||
\(209\) | 8.94333e6 | + | 2.45716e7i | 0.00468721 | + | 0.0128780i | ||||
\(210\) | −7.22313e8 | + | 2.80205e9i | −0.371406 | + | 1.44078i | ||||
\(211\) | −1.10978e9 | + | 9.31219e8i | −0.559897 | + | 0.469809i | −0.878276 | − | 0.478154i | \(-0.841306\pi\) |
0.318379 | + | 0.947964i | \(0.396862\pi\) | |||||||
\(212\) | −1.72954e8 | + | 4.75187e8i | −0.0856222 | + | 0.235245i | ||||
\(213\) | −8.22283e8 | − | 5.64190e8i | −0.399487 | − | 0.274099i | ||||
\(214\) | −1.44664e8 | + | 8.20432e8i | −0.0689773 | + | 0.391190i | ||||
\(215\) | 2.35880e9i | 1.10392i | ||||||||
\(216\) | 1.71930e9 | + | 1.62387e9i | 0.789833 | + | 0.745996i | ||||
\(217\) | −3.71855e8 | −0.167701 | ||||||||
\(218\) | −2.69423e8 | − | 4.75066e7i | −0.119291 | − | 0.0210343i | ||||
\(219\) | 5.65472e8 | + | 4.40569e7i | 0.245830 | + | 0.0191530i | ||||
\(220\) | 1.61357e9 | + | 5.87291e8i | 0.688806 | + | 0.250705i | ||||
\(221\) | −2.16493e9 | − | 2.58006e9i | −0.907559 | − | 1.08159i | ||||
\(222\) | 5.82427e8 | − | 5.93614e8i | 0.239789 | − | 0.244395i | ||||
\(223\) | 9.28127e8 | − | 3.37811e8i | 0.375308 | − | 0.136601i | −0.147477 | − | 0.989065i | \(-0.547115\pi\) |
0.522785 | + | 0.852464i | \(0.324893\pi\) | |||||||
\(224\) | −1.32502e9 | − | 7.65003e8i | −0.526298 | − | 0.303858i | ||||
\(225\) | −2.54783e9 | − | 2.92167e9i | −0.994124 | − | 1.13999i | ||||
\(226\) | 7.60629e8 | + | 1.31745e9i | 0.291568 | + | 0.505010i | ||||
\(227\) | 4.10560e8 | − | 4.89286e8i | 0.154623 | − | 0.184272i | −0.683172 | − | 0.730257i | \(-0.739400\pi\) |
0.837795 | + | 0.545985i | \(0.183845\pi\) | |||||||
\(228\) | 5.86001e6 | + | 2.66501e6i | 0.00216850 | + | 0.000986187i | ||||
\(229\) | 1.06279e8 | + | 6.02738e8i | 0.0386460 | + | 0.219173i | 0.998015 | − | 0.0629834i | \(-0.0200615\pi\) |
−0.959369 | + | 0.282156i | \(0.908950\pi\) | |||||||
\(230\) | −1.94985e9 | + | 3.43812e8i | −0.696772 | + | 0.122860i | ||||
\(231\) | −5.12610e9 | + | 4.97649e8i | −1.80028 | + | 0.174774i | ||||
\(232\) | 3.19870e9 | + | 2.68403e9i | 1.10413 | + | 0.926479i | ||||
\(233\) | −3.04859e9 | + | 1.76010e9i | −1.03437 | + | 0.597192i | −0.918233 | − | 0.396041i | \(-0.870384\pi\) |
−0.116134 | + | 0.993234i | \(0.537050\pi\) | |||||||
\(234\) | −1.90340e9 | − | 1.53640e9i | −0.634842 | − | 0.512436i | ||||
\(235\) | 6.16520e8 | − | 1.06784e9i | 0.202151 | − | 0.350135i | ||||
\(236\) | −1.73134e8 | − | 4.75681e8i | −0.0558128 | − | 0.153344i | ||||
\(237\) | 1.25494e9 | − | 3.49087e8i | 0.397767 | − | 0.110647i | ||||
\(238\) | 3.37963e9 | − | 2.83585e9i | 1.05332 | − | 0.883844i | ||||
\(239\) | −1.07538e9 | + | 2.95458e9i | −0.329587 | + | 0.905533i | 0.658629 | + | 0.752468i | \(0.271137\pi\) |
−0.988216 | + | 0.153065i | \(0.951086\pi\) | |||||||
\(240\) | −3.01822e9 | + | 1.44253e9i | −0.909716 | + | 0.434789i | ||||
\(241\) | 6.25199e8 | − | 3.54568e9i | 0.185332 | − | 1.05107i | −0.740196 | − | 0.672391i | \(-0.765267\pi\) |
0.925528 | − | 0.378679i | \(-0.123622\pi\) | |||||||
\(242\) | − | 4.82009e9i | − | 1.40538i | ||||||
\(243\) | 2.75790e9 | − | 2.13346e9i | 0.790957 | − | 0.611871i | ||||
\(244\) | 1.82966e9 | 0.516192 | ||||||||
\(245\) | −1.29222e9 | − | 2.27853e8i | −0.358651 | − | 0.0632398i | ||||
\(246\) | 2.20997e9 | + | 4.62395e9i | 0.603456 | + | 1.26262i | ||||
\(247\) | −2.83256e7 | − | 1.03097e7i | −0.00761012 | − | 0.00276986i | ||||
\(248\) | −3.99489e8 | − | 4.76093e8i | −0.105608 | − | 0.125859i | ||||
\(249\) | 9.88288e7 | + | 3.55282e8i | 0.0257091 | + | 0.0924220i | ||||
\(250\) | 2.52439e9 | − | 9.18802e8i | 0.646243 | − | 0.235213i | ||||
\(251\) | −1.40741e9 | − | 8.12567e8i | −0.354589 | − | 0.204722i | 0.312116 | − | 0.950044i | \(-0.398962\pi\) |
−0.666705 | + | 0.745322i | \(0.732296\pi\) | |||||||
\(252\) | −7.96388e8 | + | 9.86621e8i | −0.197480 | + | 0.244652i | ||||
\(253\) | −1.76197e9 | − | 3.05182e9i | −0.430047 | − | 0.744863i | ||||
\(254\) | −2.13574e9 | + | 2.54528e9i | −0.513114 | + | 0.611506i | ||||
\(255\) | 9.48673e8 | + | 9.77192e9i | 0.224365 | + | 2.31110i | ||||
\(256\) | −5.78550e8 | − | 3.28112e9i | −0.134704 | − | 0.763945i | ||||
\(257\) | 5.64879e8 | − | 9.96034e7i | 0.129486 | − | 0.0228319i | −0.108530 | − | 0.994093i | \(-0.534614\pi\) |
0.238016 | + | 0.971261i | \(0.423503\pi\) | |||||||
\(258\) | 1.08128e9 | − | 2.37759e9i | 0.244038 | − | 0.536609i | ||||
\(259\) | 1.54624e9 | + | 1.29745e9i | 0.343619 | + | 0.288330i | ||||
\(260\) | −1.71427e9 | + | 9.89732e8i | −0.375133 | + | 0.216583i | ||||
\(261\) | 4.63993e9 | − | 4.04624e9i | 0.999883 | − | 0.871946i | ||||
\(262\) | −2.84732e9 | + | 4.93170e9i | −0.604269 | + | 1.04663i | ||||
\(263\) | −2.40422e9 | − | 6.60554e9i | −0.502517 | − | 1.38065i | −0.888809 | − | 0.458278i | \(-0.848466\pi\) |
0.386292 | − | 0.922377i | \(-0.373756\pi\) | |||||||
\(264\) | −6.14418e9 | − | 6.02840e9i | −1.26488 | − | 1.24104i | ||||
\(265\) | −5.28744e9 | + | 4.43669e9i | −1.07217 | + | 0.899654i | ||||
\(266\) | 1.35047e7 | − | 3.71038e7i | 0.00269748 | − | 0.00741126i | ||||
\(267\) | 2.80871e8 | − | 3.60499e9i | 0.0552664 | − | 0.709347i | ||||
\(268\) | −2.61857e8 | + | 1.48507e9i | −0.0507604 | + | 0.287877i | ||||
\(269\) | − | 8.50405e9i | − | 1.62411i | −0.583578 | − | 0.812057i | \(-0.698348\pi\) | ||
0.583578 | − | 0.812057i | \(-0.301652\pi\) | |||||||
\(270\) | 2.04125e9 | + | 6.83200e9i | 0.384097 | + | 1.28556i | ||||
\(271\) | 3.66496e9 | 0.679504 | 0.339752 | − | 0.940515i | \(-0.389657\pi\) | ||||
0.339752 | + | 0.940515i | \(0.389657\pi\) | |||||||
\(272\) | 5.02280e9 | + | 8.85656e8i | 0.917636 | + | 0.161804i | ||||
\(273\) | 3.35893e9 | − | 4.89550e9i | 0.604715 | − | 0.881347i | ||||
\(274\) | 4.72554e9 | + | 1.71995e9i | 0.838395 | + | 0.305151i | ||||
\(275\) | 9.06942e9 | + | 1.08085e10i | 1.58580 | + | 1.88988i | ||||
\(276\) | −8.40098e8 | − | 2.16561e8i | −0.144775 | − | 0.0373201i | ||||
\(277\) | −7.34026e9 | + | 2.67163e9i | −1.24679 | + | 0.453793i | −0.879315 | − | 0.476241i | \(-0.841999\pi\) |
−0.367472 | + | 0.930035i | \(0.619777\pi\) | |||||||
\(278\) | −4.95083e9 | − | 2.85836e9i | −0.828894 | − | 0.478562i | ||||
\(279\) | −7.84690e8 | + | 4.73168e8i | −0.129503 | + | 0.0780906i | ||||
\(280\) | −5.86914e9 | − | 1.01657e10i | −0.954866 | − | 1.65388i | ||||
\(281\) | −1.00634e9 | + | 1.19931e9i | −0.161405 | + | 0.192356i | −0.840686 | − | 0.541524i | \(-0.817848\pi\) |
0.679280 | + | 0.733879i | \(0.262292\pi\) | |||||||
\(282\) | −1.11093e9 | + | 7.93737e8i | −0.175667 | + | 0.125511i | ||||
\(283\) | 1.38681e9 | + | 7.86497e9i | 0.216207 | + | 1.22617i | 0.878799 | + | 0.477192i | \(0.158345\pi\) |
−0.662592 | + | 0.748980i | \(0.730544\pi\) | |||||||
\(284\) | 8.80006e8 | − | 1.55169e8i | 0.135273 | − | 0.0238523i | ||||
\(285\) | 5.10817e7 | + | 7.14951e7i | 0.00774259 | + | 0.0108367i | ||||
\(286\) | 6.82019e9 | + | 5.72282e9i | 1.01937 | + | 0.855354i | ||||
\(287\) | −1.07724e10 | + | 6.21945e9i | −1.58776 | + | 0.916693i | ||||
\(288\) | −3.76950e9 | + | 7.17182e7i | −0.547915 | + | 0.0104246i | ||||
\(289\) | 3.99650e9 | − | 6.92215e9i | 0.572913 | − | 0.992315i | ||||
\(290\) | 4.30593e9 | + | 1.18305e10i | 0.608801 | + | 1.67267i | ||||
\(291\) | −3.14583e8 | + | 1.22036e9i | −0.0438696 | + | 0.170182i | ||||
\(292\) | −3.89331e8 | + | 3.26688e8i | −0.0535535 | + | 0.0449367i | ||||
\(293\) | 3.64627e9 | − | 1.00180e10i | 0.494741 | − | 1.35929i | −0.401555 | − | 0.915835i | \(-0.631530\pi\) |
0.896296 | − | 0.443456i | \(-0.146248\pi\) | |||||||
\(294\) | 1.19807e9 | + | 8.22023e8i | 0.160358 | + | 0.110026i | ||||
\(295\) | 1.19981e9 | − | 6.80448e9i | 0.158426 | − | 0.898477i | ||||
\(296\) | 3.37354e9i | 0.439459i | ||||||||
\(297\) | −1.01839e10 | + | 7.57285e9i | −1.30884 | + | 0.973270i | ||||
\(298\) | −6.51300e9 | −0.825878 | ||||||||
\(299\) | 4.00060e9 | + | 7.05414e8i | 0.500542 | + | 0.0882590i | ||||
\(300\) | 3.46314e9 | + | 2.69820e8i | 0.427549 | + | 0.0333111i | ||||
\(301\) | 5.95716e9 | + | 2.16823e9i | 0.725727 | + | 0.264143i | ||||
\(302\) | −4.41187e9 | − | 5.25787e9i | −0.530390 | − | 0.632094i | ||||
\(303\) | 9.90759e9 | − | 1.00979e10i | 1.17543 | − | 1.19801i | ||||
\(304\) | 4.28941e7 | − | 1.56122e7i | 0.00502231 | − | 0.00182797i | ||||
\(305\) | 2.16279e10 | + | 1.24869e10i | 2.49928 | + | 1.44296i | ||||
\(306\) | 3.52323e9 | − | 1.02846e10i | 0.401842 | − | 1.17301i | ||||
\(307\) | −1.42521e9 | − | 2.46854e9i | −0.160445 | − | 0.277899i | 0.774583 | − | 0.632472i | \(-0.217960\pi\) |
−0.935028 | + | 0.354573i | \(0.884626\pi\) | |||||||
\(308\) | 2.96641e9 | − | 3.53523e9i | 0.329632 | − | 0.392840i | ||||
\(309\) | 5.80487e9 | + | 2.63993e9i | 0.636735 | + | 0.289573i | ||||
\(310\) | −3.25390e8 | − | 1.84538e9i | −0.0352336 | − | 0.199820i | ||||
\(311\) | 1.12462e10 | − | 1.98300e9i | 1.20216 | − | 0.211974i | 0.463529 | − | 0.886082i | \(-0.346583\pi\) |
0.738633 | + | 0.674108i | \(0.235472\pi\) | |||||||
\(312\) | 9.87634e9 | − | 9.58811e8i | 1.04226 | − | 0.101185i | ||||
\(313\) | 3.45161e9 | + | 2.89625e9i | 0.359621 | + | 0.301758i | 0.804639 | − | 0.593764i | \(-0.202359\pi\) |
−0.445019 | + | 0.895521i | \(0.646803\pi\) | |||||||
\(314\) | −5.41844e9 | + | 3.12834e9i | −0.557386 | + | 0.321807i | ||||
\(315\) | −1.61473e10 | + | 6.22747e9i | −1.64005 | + | 0.632513i | ||||
\(316\) | −5.83602e8 | + | 1.01083e9i | −0.0585287 | + | 0.101375i | ||||
\(317\) | 1.83180e9 | + | 5.03284e9i | 0.181402 | + | 0.498398i | 0.996749 | − | 0.0805754i | \(-0.0256758\pi\) |
−0.815347 | + | 0.578973i | \(0.803454\pi\) | |||||||
\(318\) | 7.36335e9 | − | 2.04827e9i | 0.720057 | − | 0.200298i | ||||
\(319\) | −1.71651e10 | + | 1.44032e10i | −1.65762 | + | 1.39091i | ||||
\(320\) | 6.25299e9 | − | 1.71800e10i | 0.596332 | − | 1.63841i | ||||
\(321\) | −4.49552e9 | + | 2.14859e9i | −0.423409 | + | 0.202364i | ||||
\(322\) | −9.24024e8 | + | 5.24040e9i | −0.0859527 | + | 0.487462i | ||||
\(323\) | − | 1.33969e8i | − | 0.0123082i | ||||||
\(324\) | −4.25112e8 | + | 3.09534e9i | −0.0385765 | + | 0.280884i | ||||
\(325\) | −1.62651e10 | −1.45789 | ||||||||
\(326\) | −6.08340e9 | − | 1.07267e9i | −0.538612 | − | 0.0949718i | ||||
\(327\) | −7.05578e8 | − | 1.47629e9i | −0.0617098 | − | 0.129116i | ||||
\(328\) | −1.95358e10 | − | 7.11045e9i | −1.68786 | − | 0.614330i | ||||
\(329\) | −2.13013e9 | − | 2.53859e9i | −0.181812 | − | 0.216675i | ||||
\(330\) | −6.95520e9 | − | 2.50034e10i | −0.586481 | − | 2.10835i | ||||
\(331\) | −3.90947e9 | + | 1.42293e9i | −0.325691 | + | 0.118542i | −0.499691 | − | 0.866204i | \(-0.666553\pi\) |
0.174000 | + | 0.984746i | \(0.444331\pi\) | |||||||
\(332\) | −2.86173e8 | − | 1.65222e8i | −0.0235546 | − | 0.0135992i | ||||
\(333\) | 4.91381e9 | + | 7.70362e8i | 0.399614 | + | 0.0626496i | ||||
\(334\) | 1.70106e9 | + | 2.94632e9i | 0.136689 | + | 0.236752i | ||||
\(335\) | −1.32305e10 | + | 1.57675e10i | −1.05050 | + | 1.25194i | ||||
\(336\) | 8.68736e8 | + | 8.94851e9i | 0.0681601 | + | 0.702092i | ||||
\(337\) | −1.67135e9 | − | 9.47871e9i | −0.129583 | − | 0.734902i | −0.978480 | − | 0.206343i | \(-0.933844\pi\) |
0.848897 | − | 0.528559i | \(-0.177267\pi\) | |||||||
\(338\) | 7.72364e8 | − | 1.36189e8i | 0.0591773 | − | 0.0104346i | ||||
\(339\) | −3.76656e9 | + | 8.28218e9i | −0.285197 | + | 0.627113i | ||||
\(340\) | −6.73924e9 | − | 5.65490e9i | −0.504307 | − | 0.423164i | ||||
\(341\) | 2.88829e9 | − | 1.66756e9i | 0.213611 | − | 0.123328i | ||||
\(342\) | −1.87152e7 | − | 9.54806e7i | −0.00136801 | − | 0.00697928i | ||||
\(343\) | 5.91133e9 | − | 1.02387e10i | 0.427080 | − | 0.739724i | ||||
\(344\) | 3.62384e9 | + | 9.95641e9i | 0.258782 | + | 0.710999i | ||||
\(345\) | −8.45261e9 | − | 8.29332e9i | −0.596643 | − | 0.585399i | ||||
\(346\) | −1.19816e10 | + | 1.00537e10i | −0.836007 | + | 0.701493i | ||||
\(347\) | −6.87957e7 | + | 1.89015e8i | −0.00474508 | + | 0.0130370i | −0.942043 | − | 0.335493i | \(-0.891097\pi\) |
0.937297 | + | 0.348530i | \(0.113319\pi\) | |||||||
\(348\) | −4.28503e8 | + | 5.49986e9i | −0.0292171 | + | 0.375003i | ||||
\(349\) | 2.82255e9 | − | 1.60075e10i | 0.190257 | − | 1.07900i | −0.728756 | − | 0.684773i | \(-0.759901\pi\) |
0.919013 | − | 0.394227i | \(-0.128988\pi\) | |||||||
\(350\) | − | 2.13058e10i | − | 1.41979i | ||||||
\(351\) | 8.58729e8 | − | 1.46046e10i | 0.0565754 | − | 0.962189i | ||||
\(352\) | 1.37224e10 | 0.893838 | ||||||||
\(353\) | 5.10574e9 | + | 9.00279e8i | 0.328821 | + | 0.0579800i | 0.335622 | − | 0.941997i | \(-0.391054\pi\) |
−0.00680064 | + | 0.999977i | \(0.502165\pi\) | |||||||
\(354\) | −4.32856e9 | + | 6.30869e9i | −0.275632 | + | 0.401723i | ||||
\(355\) | 1.14613e10 | + | 4.17157e9i | 0.721639 | + | 0.262655i | ||||
\(356\) | 2.08270e9 | + | 2.48206e9i | 0.129666 | + | 0.154530i | ||||
\(357\) | 2.55511e10 | + | 6.58655e9i | 1.57303 | + | 0.405495i | ||||
\(358\) | 9.60827e9 | − | 3.49712e9i | 0.584942 | − | 0.212902i | ||||
\(359\) | −2.29627e10 | − | 1.32575e10i | −1.38244 | − | 0.798151i | −0.389991 | − | 0.920819i | \(-0.627522\pi\) |
−0.992448 | + | 0.122668i | \(0.960855\pi\) | |||||||
\(360\) | −2.53204e10 | − | 1.39834e10i | −1.50751 | − | 0.832534i | ||||
\(361\) | 8.49118e9 | + | 1.47072e10i | 0.499965 | + | 0.865964i | ||||
\(362\) | 1.99515e9 | − | 2.37773e9i | 0.116183 | − | 0.138461i | ||||
\(363\) | 2.34564e10 | − | 1.67591e10i | 1.35093 | − | 0.965213i | ||||
\(364\) | 9.23805e8 | + | 5.23916e9i | 0.0526229 | + | 0.298439i | ||||
\(365\) | −6.83172e9 | + | 1.20462e9i | −0.384910 | + | 0.0678700i | ||||
\(366\) | −1.60762e10 | − | 2.25006e10i | −0.895900 | − | 1.25392i | ||||
\(367\) | 2.18128e10 | + | 1.83031e10i | 1.20239 | + | 1.00893i | 0.999558 | + | 0.0297143i | \(0.00945975\pi\) |
0.202834 | + | 0.979213i | \(0.434985\pi\) | |||||||
\(368\) | −5.32749e9 | + | 3.07583e9i | −0.290490 | + | 0.167714i | ||||
\(369\) | −1.48180e10 | + | 2.68316e10i | −0.799252 | + | 1.44724i | ||||
\(370\) | −5.08570e9 | + | 8.80870e9i | −0.271359 | + | 0.470007i | ||||
\(371\) | 6.34462e9 | + | 1.74317e10i | 0.334896 | + | 0.920120i | ||||
\(372\) | 2.04957e8 | − | 7.95084e8i | 0.0107026 | − | 0.0415185i | ||||
\(373\) | 2.43295e9 | − | 2.04149e9i | 0.125689 | − | 0.105466i | −0.577776 | − | 0.816195i | \(-0.696079\pi\) |
0.703465 | + | 0.710729i | \(0.251635\pi\) | |||||||
\(374\) | −1.35333e10 | + | 3.71825e10i | −0.691700 | + | 1.90043i | ||||
\(375\) | 1.32483e10 | + | 9.09002e9i | 0.669941 | + | 0.459663i | ||||
\(376\) | 9.61774e8 | − | 5.45449e9i | 0.0481196 | − | 0.272900i | ||||
\(377\) | − | 2.58308e10i | − | 1.27871i | ||||||
\(378\) | 1.91306e10 | + | 1.12485e9i | 0.937047 | + | 0.0550971i | ||||
\(379\) | −2.63613e10 | −1.27764 | −0.638822 | − | 0.769354i | \(-0.720578\pi\) | ||||
−0.638822 | + | 0.769354i | \(0.720578\pi\) | |||||||
\(380\) | −7.75400e7 | − | 1.36724e7i | −0.00371870 | − | 0.000655707i | ||||
\(381\) | −1.98121e10 | − | 1.54360e9i | −0.940223 | − | 0.0732544i | ||||
\(382\) | −1.25484e9 | − | 4.56724e8i | −0.0589297 | − | 0.0214487i | ||||
\(383\) | 5.71089e9 | + | 6.80598e9i | 0.265405 | + | 0.316297i | 0.882244 | − | 0.470792i | \(-0.156032\pi\) |
−0.616839 | + | 0.787089i | \(0.711587\pi\) | |||||||
\(384\) | −5.83303e9 | + | 5.94506e9i | −0.268268 | + | 0.273421i | ||||
\(385\) | 5.91920e10 | − | 2.15441e10i | 2.69414 | − | 0.980587i | ||||
\(386\) | 2.97287e10 | + | 1.71639e10i | 1.33914 | + | 0.773153i | ||||
\(387\) | 1.53298e10 | − | 3.00480e9i | 0.683427 | − | 0.133959i | ||||
\(388\) | −5.64634e8 | − | 9.77975e8i | −0.0249138 | − | 0.0431520i | ||||
\(389\) | 3.83291e9 | − | 4.56788e9i | 0.167390 | − | 0.199488i | −0.675828 | − | 0.737059i | \(-0.736214\pi\) |
0.843218 | + | 0.537572i | \(0.180658\pi\) | |||||||
\(390\) | 2.72337e10 | + | 1.23853e10i | 1.17720 | + | 0.535363i | ||||
\(391\) | 3.13511e9 | + | 1.77801e10i | 0.134136 | + | 0.760725i | ||||
\(392\) | −5.80446e9 | + | 1.02348e9i | −0.245820 | + | 0.0433448i | ||||
\(393\) | −3.38994e10 | + | 3.29101e9i | −1.42109 | + | 0.137962i | ||||
\(394\) | 4.44152e9 | + | 3.72688e9i | 0.184309 | + | 0.154654i | ||||
\(395\) | −1.37972e10 | + | 7.96582e9i | −0.566765 | + | 0.327222i | ||||
\(396\) | 1.76132e9 | − | 1.12347e10i | 0.0716237 | − | 0.456856i | ||||
\(397\) | −1.60190e9 | + | 2.77457e9i | −0.0644871 | + | 0.111695i | −0.896466 | − | 0.443112i | \(-0.853874\pi\) |
0.831979 | + | 0.554807i | \(0.187208\pi\) | |||||||
\(398\) | 4.51344e9 | + | 1.24006e10i | 0.179877 | + | 0.494208i | ||||
\(399\) | 2.27516e8 | − | 6.32882e7i | 0.00897678 | − | 0.00249707i | ||||
\(400\) | 1.88682e10 | − | 1.58323e10i | 0.737038 | − | 0.618449i | ||||
\(401\) | 1.33575e10 | − | 3.66996e10i | 0.516594 | − | 1.41933i | −0.357656 | − | 0.933853i | \(-0.616424\pi\) |
0.874250 | − | 0.485477i | \(-0.161354\pi\) | |||||||
\(402\) | 2.05637e10 | − | 9.82820e9i | 0.787403 | − | 0.376331i | ||||
\(403\) | −6.67616e8 | + | 3.78624e9i | −0.0253108 | + | 0.143545i | ||||
\(404\) | 1.26763e10i | 0.475848i | ||||||||
\(405\) | −2.61499e10 | + | 3.36878e10i | −0.971962 | + | 1.25214i | ||||
\(406\) | 3.38359e10 | 1.24530 | ||||||||
\(407\) | −1.78283e10 | − | 3.14361e9i | −0.649729 | − | 0.114565i | ||||
\(408\) | 1.90170e10 | + | 3.97895e10i | 0.686279 | + | 1.43591i | ||||
\(409\) | −3.94804e10 | − | 1.43697e10i | −1.41087 | − | 0.513516i | −0.479488 | − | 0.877548i | \(-0.659178\pi\) |
−0.931386 | + | 0.364032i | \(0.881400\pi\) | |||||||
\(410\) | −4.02910e10 | − | 4.80170e10i | −1.42585 | − | 1.69926i | ||||
\(411\) | 8.06037e9 | + | 2.89764e10i | 0.282480 | + | 1.01549i | ||||
\(412\) | −5.36959e9 | + | 1.95437e9i | −0.186360 | + | 0.0678294i | ||||
\(413\) | −1.60819e10 | − | 9.28487e9i | −0.552760 | − | 0.319136i | ||||
\(414\) | 4.71828e9 | + | 1.22341e10i | 0.160614 | + | 0.416457i | ||||
\(415\) | −2.25518e9 | − | 3.90608e9i | −0.0760306 | − | 0.131689i | ||||
\(416\) | −1.01682e10 | + | 1.21180e10i | −0.339523 | + | 0.404628i | ||||
\(417\) | −3.30378e9 | − | 3.40309e10i | −0.109261 | − | 1.12546i | ||||
\(418\) | 6.14950e7 | + | 3.48755e8i | 0.00201435 | + | 0.0114239i | ||||
\(419\) | 2.44273e10 | − | 4.30720e9i | 0.792538 | − | 0.139746i | 0.237299 | − | 0.971437i | \(-0.423738\pi\) |
0.555239 | + | 0.831691i | \(0.312627\pi\) | |||||||
\(420\) | 6.41990e9 | − | 1.41165e10i | 0.206315 | − | 0.453661i | ||||
\(421\) | −4.34557e10 | − | 3.64636e10i | −1.38331 | − | 1.16073i | −0.967971 | − | 0.251062i | \(-0.919220\pi\) |
−0.415335 | − | 0.909669i | \(-0.636335\pi\) | |||||||
\(422\) | −1.69917e10 | + | 9.81015e9i | −0.535780 | + | 0.309333i | ||||
\(423\) | −7.72525e9 | − | 2.64645e9i | −0.241297 | − | 0.0826614i | ||||
\(424\) | −1.55020e10 | + | 2.68502e10i | −0.479650 | + | 0.830778i | ||||
\(425\) | −2.47240e10 | − | 6.79287e10i | −0.757815 | − | 2.08208i | ||||
\(426\) | −9.64034e9 | − | 9.45867e9i | −0.292721 | − | 0.287205i | ||||
\(427\) | 5.14163e10 | − | 4.31434e10i | 1.54664 | − | 1.29778i | ||||
\(428\) | 1.52703e9 | − | 4.19547e9i | 0.0455063 | − | 0.125028i | ||||
\(429\) | −4.13613e9 | + | 5.30875e10i | −0.122114 | + | 1.56734i | ||||
\(430\) | −5.54732e9 | + | 3.14604e10i | −0.162259 | + | 0.920217i | ||||
\(431\) | − | 6.46311e10i | − | 1.87298i | −0.350698 | − | 0.936489i | \(-0.614055\pi\) | ||
0.350698 | − | 0.936489i | \(-0.385945\pi\) | |||||||
\(432\) | 1.32198e10 | + | 1.77777e10i | 0.379567 | + | 0.510436i | ||||
\(433\) | 2.65628e10 | 0.755653 | 0.377826 | − | 0.925876i | \(-0.376672\pi\) | ||||
0.377826 | + | 0.925876i | \(0.376672\pi\) | |||||||
\(434\) | −4.95961e9 | − | 8.74513e8i | −0.139794 | − | 0.0246494i | ||||
\(435\) | −4.26001e10 | + | 6.20879e10i | −1.18974 | + | 1.73400i | ||||
\(436\) | 1.37776e9 | + | 5.01463e8i | 0.0381265 | + | 0.0138769i | ||||
\(437\) | 1.03865e8 | + | 1.23781e8i | 0.00284801 | + | 0.00339413i | ||||
\(438\) | 7.43835e9 | + | 1.91746e9i | 0.202106 | + | 0.0520990i | ||||
\(439\) | −5.28937e10 | + | 1.92517e10i | −1.42412 | + | 0.518337i | −0.935240 | − | 0.354015i | \(-0.884816\pi\) |
−0.488878 | + | 0.872352i | \(0.662594\pi\) | |||||||
\(440\) | 9.11741e10 | + | 5.26394e10i | 2.43255 | + | 1.40443i | ||||
\(441\) | 1.65304e8 | + | 8.68835e9i | 0.00437048 | + | 0.229712i | ||||
\(442\) | −2.28070e10 | − | 3.95029e10i | −0.597557 | − | 1.03500i | ||||
\(443\) | 2.12742e10 | − | 2.53536e10i | 0.552381 | − | 0.658302i | −0.415534 | − | 0.909577i | \(-0.636405\pi\) |
0.967916 | + | 0.251275i | \(0.0808498\pi\) | |||||||
\(444\) | −3.62638e9 | + | 2.59097e9i | −0.0933129 | + | 0.0666701i | ||||
\(445\) | 7.67966e9 | + | 4.35535e10i | 0.195840 | + | 1.11066i | ||||
\(446\) | 1.31733e10 | − | 2.32281e9i | 0.332932 | − | 0.0587049i | ||||
\(447\) | −2.26452e10 | − | 3.16947e10i | −0.567213 | − | 0.793884i | ||||
\(448\) | −3.76403e10 | − | 3.15839e10i | −0.934417 | − | 0.784069i | ||||
\(449\) | −6.27975e10 | + | 3.62562e10i | −1.54510 | + | 0.892065i | −0.546597 | + | 0.837396i | \(0.684077\pi\) |
−0.998505 | + | 0.0546691i | \(0.982590\pi\) | |||||||
\(450\) | −2.71106e10 | − | 4.49595e10i | −0.661132 | − | 1.09641i | ||||
\(451\) | 5.57812e10 | − | 9.66159e10i | 1.34829 | − | 2.33530i | ||||
\(452\) | −2.78842e9 | − | 7.66113e9i | −0.0668043 | − | 0.183543i | ||||
\(453\) | 1.02470e10 | − | 3.97510e10i | 0.243335 | − | 0.943965i | ||||
\(454\) | 6.62650e9 | − | 5.56030e9i | 0.155977 | − | 0.130880i | ||||
\(455\) | −2.48356e10 | + | 6.82353e10i | −0.579468 | + | 1.59208i | ||||
\(456\) | 3.25453e8 | + | 2.23301e8i | 0.00752711 | + | 0.00516454i | ||||
\(457\) | −9.23518e9 | + | 5.23753e10i | −0.211729 | + | 1.20078i | 0.674764 | + | 0.738033i | \(0.264245\pi\) |
−0.886493 | + | 0.462742i | \(0.846866\pi\) | |||||||
\(458\) | 8.28893e9i | 0.188381i | ||||||||
\(459\) | 6.22989e10 | − | 1.86135e10i | 1.40356 | − | 0.419351i | ||||
\(460\) | 1.06110e10 | 0.236986 | ||||||||
\(461\) | −3.01751e10 | − | 5.32068e9i | −0.668104 | − | 0.117805i | −0.170699 | − | 0.985323i | \(-0.554603\pi\) |
−0.497405 | + | 0.867518i | \(0.665714\pi\) | |||||||
\(462\) | −6.95395e10 | − | 5.41794e9i | −1.52638 | − | 0.118923i | ||||
\(463\) | 3.02920e10 | + | 1.10254e10i | 0.659181 | + | 0.239922i | 0.649883 | − | 0.760035i | \(-0.274818\pi\) |
0.00929829 | + | 0.999957i | \(0.497040\pi\) | |||||||
\(464\) | 2.51434e10 | + | 2.99648e10i | 0.542441 | + | 0.646456i | ||||
\(465\) | 7.84895e9 | − | 7.99970e9i | 0.167880 | − | 0.171105i | ||||
\(466\) | −4.47997e10 | + | 1.63058e10i | −0.950017 | + | 0.345778i | ||||
\(467\) | 4.49907e10 | + | 2.59754e10i | 0.945922 | + | 0.546129i | 0.891812 | − | 0.452406i | \(-0.149434\pi\) |
0.0541106 | + | 0.998535i | \(0.482768\pi\) | |||||||
\(468\) | 8.61599e9 | + | 9.88018e9i | 0.179606 | + | 0.205959i | ||||
\(469\) | 2.76592e10 | + | 4.79072e10i | 0.571674 | + | 0.990169i | ||||
\(470\) | 1.07341e10 | − | 1.27924e10i | 0.219976 | − | 0.262157i | ||||
\(471\) | −3.40632e10 | − | 1.54912e10i | −0.692152 | − | 0.314776i | ||||
\(472\) | −5.38939e9 | − | 3.05648e10i | −0.108585 | − | 0.615819i | ||||
\(473\) | −5.59940e10 | + | 9.87325e9i | −1.11866 | + | 0.197249i | ||||
\(474\) | 1.75587e10 | − | 1.70462e9i | 0.347839 | − | 0.0337687i | ||||
\(475\) | −4.95608e8 | − | 4.15865e8i | −0.00973563 | − | 0.00816916i | ||||
\(476\) | −2.04762e10 | + | 1.18220e10i | −0.398862 | + | 0.230283i | ||||
\(477\) | 3.55694e10 | + | 2.87112e10i | 0.687074 | + | 0.554597i | ||||
\(478\) | −2.12913e10 | + | 3.68776e10i | −0.407840 | + | 0.706400i | ||||
\(479\) | −7.77313e9 | − | 2.13565e10i | −0.147657 | − | 0.405684i | 0.843710 | − | 0.536799i | \(-0.180367\pi\) |
−0.991367 | + | 0.131115i | \(0.958144\pi\) | |||||||
\(480\) | 4.44254e10 | − | 1.23578e10i | 0.836887 | − | 0.232797i | ||||
\(481\) | 1.59867e10 | − | 1.34144e10i | 0.298660 | − | 0.250606i | ||||
\(482\) | 1.66771e10 | − | 4.58201e10i | 0.308982 | − | 0.848922i | ||||
\(483\) | −2.87145e10 | + | 1.37238e10i | −0.527610 | + | 0.252166i | ||||
\(484\) | −4.48568e9 | + | 2.54396e10i | −0.0817424 | + | 0.463584i | ||||
\(485\) | − | 1.54138e10i | − | 0.278576i | ||||||
\(486\) | 4.18007e10 | − | 2.19691e10i | 0.749271 | − | 0.393792i | ||||
\(487\) | −6.87683e10 | −1.22257 | −0.611283 | − | 0.791412i | \(-0.709346\pi\) | ||||
−0.611283 | + | 0.791412i | \(0.709346\pi\) | |||||||
\(488\) | 1.10474e11 | + | 1.94796e10i | 1.94797 | + | 0.343480i | ||||
\(489\) | −1.59315e10 | − | 3.33337e10i | −0.278626 | − | 0.582973i | ||||
\(490\) | −1.66991e10 | − | 6.07796e9i | −0.289673 | − | 0.105432i | ||||
\(491\) | 4.69265e10 | + | 5.59248e10i | 0.807406 | + | 0.962229i | 0.999818 | − | 0.0190855i | \(-0.00607549\pi\) |
−0.192412 | + | 0.981314i | \(0.561631\pi\) | |||||||
\(492\) | −7.36067e9 | − | 2.64610e10i | −0.125620 | − | 0.451592i | ||||
\(493\) | 1.07878e11 | − | 3.92645e10i | 1.82619 | − | 0.664679i | ||||
\(494\) | −3.53546e8 | − | 2.04120e8i | −0.00593660 | − | 0.00342750i | ||||
\(495\) | 9.74933e10 | − | 1.20781e11i | 1.62388 | − | 2.01178i | ||||
\(496\) | −2.91102e9 | − | 5.04203e9i | −0.0480970 | − | 0.0833064i | ||||
\(497\) | 2.10706e10 | − | 2.51110e10i | 0.345344 | − | 0.411565i | ||||
\(498\) | 4.82590e8 | + | 4.97098e9i | 0.00784623 | + | 0.0808210i | ||||
\(499\) | 6.66714e9 | + | 3.78112e10i | 0.107532 | + | 0.609844i | 0.990179 | + | 0.139807i | \(0.0446482\pi\) |
−0.882647 | + | 0.470037i | \(0.844241\pi\) | |||||||
\(500\) | −1.41783e10 | + | 2.50002e9i | −0.226853 | + | 0.0400004i | ||||
\(501\) | −8.42345e9 | + | 1.85221e10i | −0.133702 | + | 0.293995i | ||||
\(502\) | −1.68603e10 | − | 1.41475e10i | −0.265491 | − | 0.222774i | ||||
\(503\) | 1.37684e9 | − | 7.94918e8i | 0.0215085 | − | 0.0124180i | −0.489207 | − | 0.872168i | \(-0.662714\pi\) |
0.510716 | + | 0.859750i | \(0.329380\pi\) | |||||||
\(504\) | −5.85898e10 | + | 5.10931e10i | −0.908029 | + | 0.791845i | ||||
\(505\) | −8.65122e10 | + | 1.49844e11i | −1.33018 | + | 2.30395i | ||||
\(506\) | −1.63230e10 | − | 4.48472e10i | −0.249000 | − | 0.684121i | ||||
\(507\) | 3.34820e9 | + | 3.28510e9i | 0.0506733 | + | 0.0497183i | ||||
\(508\) | 1.36408e10 | − | 1.14460e10i | 0.204826 | − | 0.171869i | ||||
\(509\) | −2.97231e10 | + | 8.16637e10i | −0.442816 | + | 1.21663i | 0.494816 | + | 0.868998i | \(0.335236\pi\) |
−0.937632 | + | 0.347630i | \(0.886987\pi\) | |||||||
\(510\) | −1.03283e10 | + | 1.32564e11i | −0.152667 | + | 1.95949i | ||||
\(511\) | −3.23751e9 | + | 1.83608e10i | −0.0474819 | + | 0.269283i | ||||
\(512\) | − | 7.14453e10i | − | 1.03967i | ||||||
\(513\) | 3.99574e8 | − | 4.23054e8i | 0.00576936 | − | 0.00610839i | ||||
\(514\) | 7.76829e9 | 0.111294 | ||||||||
\(515\) | −7.68104e10 | − | 1.35437e10i | −1.09192 | − | 0.192535i | ||||
\(516\) | −7.91943e9 | + | 1.15423e10i | −0.111711 | + | 0.162814i | ||||
\(517\) | 2.79294e10 | + | 1.01655e10i | 0.390930 | + | 0.142287i | ||||
\(518\) | 1.75716e10 | + | 2.09410e10i | 0.244057 | + | 0.290856i | ||||
\(519\) | −9.05844e10 | − | 2.33508e10i | −1.24849 | − | 0.321835i | ||||
\(520\) | −1.14044e11 | + | 4.15086e10i | −1.55977 | + | 0.567708i | ||||
\(521\) | 1.18023e11 | + | 6.81406e10i | 1.60183 | + | 0.924815i | 0.991122 | + | 0.132956i | \(0.0424470\pi\) |
0.610704 | + | 0.791859i | \(0.290886\pi\) | |||||||
\(522\) | 7.14006e10 | − | 4.30546e10i | 0.961657 | − | 0.579879i | ||||
\(523\) | −1.68568e10 | − | 2.91969e10i | −0.225304 | − | 0.390238i | 0.731107 | − | 0.682263i | \(-0.239004\pi\) |
−0.956411 | + | 0.292025i | \(0.905671\pi\) | |||||||
\(524\) | 1.96172e10 | − | 2.33789e10i | 0.260203 | − | 0.310098i | ||||
\(525\) | 1.03682e11 | − | 7.40785e10i | 1.36479 | − | 0.975113i | ||||
\(526\) | −1.65316e10 | − | 9.37552e10i | −0.215959 | − | 1.22476i | ||||
\(527\) | −1.68274e10 | + | 2.96713e9i | −0.218160 | + | 0.0384675i | ||||
\(528\) | −4.68766e10 | − | 6.56095e10i | −0.603143 | − | 0.844173i | ||||
\(529\) | 4.33082e10 | + | 3.63399e10i | 0.553029 | + | 0.464046i | ||||
\(530\) | −8.09551e10 | + | 4.67394e10i | −1.02598 | + | 0.592352i | ||||
\(531\) | −4.57505e10 | + | 8.70447e8i | −0.575464 | + | 0.0109487i | ||||
\(532\) | −1.05805e8 | + | 1.83260e8i | −0.00132087 | + | 0.00228781i | ||||
\(533\) | 4.39861e10 | + | 1.20851e11i | 0.545013 | + | 1.49741i | ||||
\(534\) | 1.22241e10 | − | 4.74208e10i | 0.150333 | − | 0.583182i | ||||
\(535\) | 4.66834e10 | − | 3.91720e10i | 0.569832 | − | 0.478146i | ||||
\(536\) | −3.16217e10 | + | 8.68799e10i | −0.383112 | + | 1.05259i | ||||
\(537\) | 5.04255e10 | + | 3.45982e10i | 0.606392 | + | 0.416061i | ||||
\(538\) | 1.99994e10 | − | 1.13422e11i | 0.238720 | − | 1.35385i | ||||
\(539\) | − | 3.16289e10i | − | 0.374739i | ||||||
\(540\) | −4.41534e9 | − | 3.79578e10i | −0.0519265 | − | 0.446402i | ||||
\(541\) | 1.02849e11 | 1.20064 | 0.600319 | − | 0.799760i | \(-0.295040\pi\) | ||||
0.600319 | + | 0.799760i | \(0.295040\pi\) | |||||||
\(542\) | 4.88813e10 | + | 8.61908e9i | 0.566429 | + | 0.0998767i | ||||
\(543\) | 1.85079e10 | + | 1.44198e9i | 0.212892 | + | 0.0165868i | ||||
\(544\) | −6.60649e10 | − | 2.40457e10i | −0.754354 | − | 0.274562i | ||||
\(545\) | 1.28638e10 | + | 1.53304e10i | 0.145808 | + | 0.173767i | ||||
\(546\) | 5.63126e10 | − | 5.73942e10i | 0.633629 | − | 0.645799i | ||||
\(547\) | −1.29316e11 | + | 4.70673e10i | −1.44446 | + | 0.525739i | −0.941037 | − | 0.338304i | \(-0.890147\pi\) |
−0.503418 | + | 0.864043i | \(0.667925\pi\) | |||||||
\(548\) | −2.33399e10 | − | 1.34753e10i | −0.258808 | − | 0.149423i | ||||
\(549\) | 5.36009e10 | − | 1.56466e11i | 0.590041 | − | 1.72239i | ||||
\(550\) | 9.55441e10 | + | 1.65487e11i | 1.04413 | + | 1.80848i | ||||
\(551\) | 6.60439e8 | − | 7.87081e8i | 0.00716517 | − | 0.00853912i | ||||
\(552\) | −4.84192e10 | − | 2.20200e10i | −0.521509 | − | 0.237171i | ||||
\(553\) | 7.43521e9 | + | 4.21672e10i | 0.0795047 | + | 0.450893i | ||||
\(554\) | −1.04183e11 | + | 1.83703e10i | −1.10601 | + | 0.195020i | ||||
\(555\) | −6.05491e10 | + | 5.87820e9i | −0.638169 | + | 0.0619544i | ||||
\(556\) | 2.34696e10 | + | 1.96933e10i | 0.245587 | + | 0.206072i | ||||
\(557\) | 1.34913e11 | − | 7.78922e10i | 1.40163 | − | 0.809232i | 0.407071 | − | 0.913397i | \(-0.366550\pi\) |
0.994560 | + | 0.104165i | \(0.0332169\pi\) | |||||||
\(558\) | −1.15785e10 | + | 4.46546e9i | −0.119431 | + | 0.0460606i | ||||
\(559\) | 3.27722e10 | − | 5.67631e10i | 0.335628 | − | 0.581325i | ||||
\(560\) | −3.76091e10 | − | 1.03330e11i | −0.382421 | − | 1.05069i | ||||
\(561\) | −2.27998e11 | + | 6.34223e10i | −2.30187 | + | 0.640311i | ||||
\(562\) | −1.62425e10 | + | 1.36290e10i | −0.162820 | + | 0.136622i | ||||
\(563\) | 3.49849e10 | − | 9.61202e10i | 0.348214 | − | 0.956711i | −0.634718 | − | 0.772744i | \(-0.718884\pi\) |
0.982932 | − | 0.183967i | \(-0.0588941\pi\) | |||||||
\(564\) | 6.60198e9 | − | 3.15535e9i | 0.0652466 | − | 0.0311839i | ||||
\(565\) | 1.93237e10 | − | 1.09590e11i | 0.189625 | − | 1.07542i | ||||
\(566\) | 1.08160e11i | 1.05391i | ||||||||
\(567\) | 6.10416e10 | + | 9.70077e10i | 0.590601 | + | 0.938586i | ||||
\(568\) | 5.47865e10 | 0.526356 | ||||||||
\(569\) | −8.94456e10 | − | 1.57717e10i | −0.853316 | − | 0.150463i | −0.270152 | − | 0.962818i | \(-0.587074\pi\) |
−0.583163 | + | 0.812355i | \(0.698185\pi\) | |||||||
\(570\) | 5.13162e8 | + | 1.07370e9i | 0.00486133 | + | 0.0101714i | ||||
\(571\) | −1.14927e11 | − | 4.18298e10i | −1.08113 | − | 0.393497i | −0.260799 | − | 0.965393i | \(-0.583986\pi\) |
−0.820326 | + | 0.571896i | \(0.806208\pi\) | |||||||
\(572\) | −3.06700e10 | − | 3.65511e10i | −0.286503 | − | 0.341441i | ||||
\(573\) | −2.14039e9 | − | 7.69451e9i | −0.0198552 | − | 0.0713777i | ||||
\(574\) | −1.58303e11 | + | 5.76176e10i | −1.45828 | + | 0.530771i | ||||
\(575\) | 7.55084e10 | + | 4.35948e10i | 0.690755 | + | 0.398807i | ||||
\(576\) | −1.19618e11 | − | 1.87531e10i | −1.08669 | − | 0.170366i | ||||
\(577\) | −1.35572e9 | − | 2.34817e9i | −0.0122311 | − | 0.0211849i | 0.859845 | − | 0.510555i | \(-0.170560\pi\) |
−0.872076 | + | 0.489370i | \(0.837227\pi\) | |||||||
\(578\) | 6.95824e10 | − | 8.29251e10i | 0.623431 | − | 0.742976i | ||||
\(579\) | 1.98385e10 | + | 2.04348e11i | 0.176520 | + | 1.81826i | ||||
\(580\) | −1.17163e10 | − | 6.64463e10i | −0.103533 | − | 0.587163i | ||||
\(581\) | −1.19378e10 | + | 2.10496e9i | −0.104766 | + | 0.0184731i | ||||
\(582\) | −7.06572e9 | + | 1.55366e10i | −0.0615835 | + | 0.135414i | ||||
\(583\) | −1.27451e11 | − | 1.06944e11i | −1.10324 | − | 0.925729i | ||||
\(584\) | −2.69858e10 | + | 1.55803e10i | −0.231998 | + | 0.133944i | ||||
\(585\) | 3.44179e10 | + | 1.75592e11i | 0.293874 | + | 1.49928i | ||||
\(586\) | 7.21919e10 | − | 1.25040e11i | 0.612207 | − | 1.06037i | ||||
\(587\) | −4.01800e10 | − | 1.10394e11i | −0.338421 | − | 0.929805i | −0.985843 | − | 0.167673i | \(-0.946375\pi\) |
0.647421 | − | 0.762132i | \(-0.275847\pi\) | |||||||
\(588\) | −5.55819e9 | − | 5.45345e9i | −0.0464969 | − | 0.0456207i | ||||
\(589\) | −1.17149e8 | + | 9.82993e7i | −0.000973365 | + | 0.000816751i | ||||
\(590\) | 3.20049e10 | − | 8.79328e10i | 0.264125 | − | 0.725677i | ||||
\(591\) | −2.69358e9 | + | 3.45722e10i | −0.0220790 | + | 0.283385i | ||||
\(592\) | −5.48773e9 | + | 3.11224e10i | −0.0446792 | + | 0.253389i | ||||
\(593\) | − | 1.69673e11i | − | 1.37212i | −0.727544 | − | 0.686061i | \(-0.759338\pi\) | ||
0.727544 | − | 0.686061i | \(-0.240662\pi\) | |||||||
\(594\) | −1.53636e11 | + | 7.70526e10i | −1.23409 | + | 0.618930i | ||||
\(595\) | −3.22725e11 | −2.57493 | ||||||||
\(596\) | 3.43745e10 | + | 6.06115e9i | 0.272428 | + | 0.0480364i | ||||
\(597\) | −4.46530e10 | + | 6.50800e10i | −0.351523 | + | 0.512330i | ||||
\(598\) | 5.16989e10 | + | 1.88168e10i | 0.404274 | + | 0.147144i | ||||
\(599\) | −1.03440e11 | − | 1.23275e11i | −0.803493 | − | 0.957566i | 0.196243 | − | 0.980555i | \(-0.437126\pi\) |
−0.999736 | + | 0.0229897i | \(0.992681\pi\) | |||||||
\(600\) | 2.06231e11 | + | 5.31622e10i | 1.59129 | + | 0.410202i | ||||
\(601\) | 1.59242e11 | − | 5.79593e10i | 1.22056 | − | 0.444248i | 0.350206 | − | 0.936673i | \(-0.386112\pi\) |
0.870355 | + | 0.492425i | \(0.163889\pi\) | |||||||
\(602\) | 7.43542e10 | + | 4.29284e10i | 0.566135 | + | 0.326858i | ||||
\(603\) | 1.19326e11 | + | 6.58988e10i | 0.902540 | + | 0.498435i | ||||
\(604\) | 1.83920e10 | + | 3.18559e10i | 0.138192 | + | 0.239355i | ||||
\(605\) | −2.26641e11 | + | 2.70101e11i | −1.69168 | + | 2.01606i | ||||
\(606\) | 1.55890e11 | − | 1.11380e11i | 1.15592 | − | 0.825879i | ||||
\(607\) | 3.08833e10 | + | 1.75148e11i | 0.227494 | + | 1.29018i | 0.857860 | + | 0.513883i | \(0.171794\pi\) |
−0.630366 | + | 0.776298i | \(0.717095\pi\) | |||||||
\(608\) | −6.19660e8 | + | 1.09263e8i | −0.00453460 | + | 0.000799573i | ||||
\(609\) | 1.17645e11 | + | 1.64658e11i | 0.855271 | + | 1.19706i | ||||
\(610\) | 2.59096e11 | + | 2.17407e11i | 1.87129 | + | 1.57020i | ||||
\(611\) | −2.96724e10 | + | 1.71314e10i | −0.212906 | + | 0.122921i | ||||
\(612\) | −2.81661e10 | + | 5.10017e10i | −0.200780 | + | 0.363563i | ||||
\(613\) | −2.91010e10 | + | 5.04044e10i | −0.206094 | + | 0.356966i | −0.950481 | − | 0.310783i | \(-0.899409\pi\) |
0.744387 | + | 0.667749i | \(0.232742\pi\) | |||||||
\(614\) | −1.32033e10 | − | 3.62758e10i | −0.0928987 | − | 0.255237i | ||||
\(615\) | 9.35801e10 | − | 3.63023e11i | 0.654158 | − | 2.53766i | ||||
\(616\) | 2.16749e11 | − | 1.81874e11i | 1.50534 | − | 1.26313i | ||||
\(617\) | 4.57298e10 | − | 1.25641e11i | 0.315543 | − | 0.866947i | −0.675969 | − | 0.736930i | \(-0.736275\pi\) |
0.991512 | − | 0.130017i | \(-0.0415031\pi\) | |||||||
\(618\) | 7.12138e10 | + | 4.88616e10i | 0.488214 | + | 0.334976i | ||||
\(619\) | 2.33487e10 | − | 1.32417e11i | 0.159038 | − | 0.901948i | −0.795963 | − | 0.605345i | \(-0.793035\pi\) |
0.955001 | − | 0.296603i | \(-0.0958538\pi\) | |||||||
\(620\) | 1.00424e10i | 0.0679627i | ||||||||
\(621\) | −4.31306e10 | + | 6.54979e10i | −0.290014 | + | 0.440414i | ||||
\(622\) | 1.54659e11 | 1.03327 | ||||||||
\(623\) | 1.17054e11 | + | 2.06397e10i | 0.777022 | + | 0.137010i | ||||
\(624\) | 9.26736e10 | + | 7.22036e9i | 0.611248 | + | 0.0476234i | ||||
\(625\) | 3.22202e10 | + | 1.17272e10i | 0.211158 | + | 0.0768554i | ||||
\(626\) | 3.92245e10 | + | 4.67459e10i | 0.255423 | + | 0.304401i | ||||
\(627\) | −1.48336e9 | + | 1.51185e9i | −0.00959792 | + | 0.00978227i | ||||
\(628\) | 3.15089e10 | − | 1.14683e10i | 0.202579 | − | 0.0737328i | ||||
\(629\) | 8.03238e10 | + | 4.63750e10i | 0.513147 | + | 0.296265i | ||||
\(630\) | −2.30009e11 | + | 4.50842e10i | −1.46010 | + | 0.286195i | ||||
\(631\) | −1.52481e10 | − | 2.64105e10i | −0.0961831 | − | 0.166594i | 0.813919 | − | 0.580979i | \(-0.197330\pi\) |
−0.910102 | + | 0.414385i | \(0.863997\pi\) | |||||||
\(632\) | −4.59996e10 | + | 5.48202e10i | −0.288327 | + | 0.343615i | ||||
\(633\) | −1.06819e11 | − | 4.85788e10i | −0.665323 | − | 0.302574i | ||||
\(634\) | 1.25956e10 | + | 7.14333e10i | 0.0779583 | + | 0.442123i | ||||
\(635\) | 2.39359e11 | − | 4.22055e10i | 1.47216 | − | 0.259582i | ||||
\(636\) | −4.07686e10 | + | 3.95788e9i | −0.249171 | + | 0.0241899i | ||||
\(637\) | 2.79308e10 | + | 2.34367e10i | 0.169639 | + | 0.142344i | ||||
\(638\) | −2.62812e11 | + | 1.51735e11i | −1.58622 | + | 0.915802i | ||||
\(639\) | 1.25107e10 | − | 7.98006e10i | 0.0750377 | − | 0.478633i | ||||
\(640\) | 5.09334e10 | − | 8.82193e10i | 0.303587 | − | 0.525828i | ||||
\(641\) | 7.45477e10 | + | 2.04818e11i | 0.441572 | + | 1.21321i | 0.938458 | + | 0.345394i | \(0.112255\pi\) |
−0.496885 | + | 0.867816i | \(0.665523\pi\) | |||||||
\(642\) | −6.50118e10 | + | 1.80843e10i | −0.382694 | + | 0.106454i | ||||
\(643\) | −1.17314e11 | + | 9.84380e10i | −0.686286 | + | 0.575863i | −0.917836 | − | 0.396961i | \(-0.870065\pi\) |
0.231549 | + | 0.972823i | \(0.425621\pi\) | |||||||
\(644\) | 9.75368e9 | − | 2.67980e10i | 0.0567055 | − | 0.155797i | ||||
\(645\) | −1.72386e11 | + | 8.23900e10i | −0.996008 | + | 0.476032i | ||||
\(646\) | 3.15061e8 | − | 1.78680e9i | 0.00180911 | − | 0.0102600i | ||||
\(647\) | − | 1.23404e11i | − | 0.704226i | −0.935957 | − | 0.352113i | \(-0.885463\pi\) | ||
0.935957 | − | 0.352113i | \(-0.114537\pi\) | |||||||
\(648\) | −5.86228e10 | + | 1.82369e11i | −0.332481 | + | 1.03431i | ||||
\(649\) | 1.66549e11 | 0.938780 | ||||||||
\(650\) | −2.16936e11 | − | 3.82516e10i | −1.21528 | − | 0.214287i | ||||
\(651\) | −1.29885e10 | − | 2.71759e10i | −0.0723159 | − | 0.151308i | ||||
\(652\) | 3.11089e10 | + | 1.13227e10i | 0.172145 | + | 0.0626556i | ||||
\(653\) | −4.83237e10 | − | 5.75899e10i | −0.265771 | − | 0.316733i | 0.616610 | − | 0.787268i | \(-0.288505\pi\) |
−0.882381 | + | 0.470535i | \(0.844061\pi\) | |||||||
\(654\) | −5.93875e9 | − | 2.13493e10i | −0.0324626 | − | 0.116701i | ||||
\(655\) | 3.91443e11 | − | 1.42474e11i | 2.12669 | − | 0.774051i | ||||
\(656\) | −1.68660e11 | − | 9.73761e10i | −0.910747 | − | 0.525820i | ||||
\(657\) | 1.65315e10 | + | 4.28647e10i | 0.0887259 | + | 0.230058i | ||||
\(658\) | −2.24404e10 | − | 3.88680e10i | −0.119709 | − | 0.207342i | ||||
\(659\) | 4.53931e10 | − | 5.40973e10i | 0.240684 | − | 0.286836i | −0.632157 | − | 0.774840i | \(-0.717830\pi\) |
0.872842 | + | 0.488004i | \(0.162275\pi\) | |||||||
\(660\) | 1.34396e10 | + | 1.38436e11i | 0.0708289 | + | 0.729582i | ||||
\(661\) | −2.47641e10 | − | 1.40444e11i | −0.129723 | − | 0.735696i | −0.978390 | − | 0.206768i | \(-0.933705\pi\) |
0.848667 | − | 0.528928i | \(-0.177406\pi\) | |||||||
\(662\) | −5.54888e10 | + | 9.78418e9i | −0.288917 | + | 0.0509439i | ||||
\(663\) | 1.12938e11 | − | 2.48336e11i | 0.584501 | − | 1.28524i | ||||
\(664\) | −1.55200e10 | − | 1.30228e10i | −0.0798396 | − | 0.0669934i | ||||
\(665\) | −2.50139e9 | + | 1.44418e9i | −0.0127907 | + | 0.00738471i | ||||
\(666\) | 6.37260e10 | + | 2.18307e10i | 0.323907 | + | 0.110961i | ||||
\(667\) | −6.92334e10 | + | 1.19916e11i | −0.349794 | + | 0.605861i | ||||
\(668\) | −6.23597e9 | − | 1.71332e10i | −0.0313183 | − | 0.0860464i | ||||
\(669\) | 5.71062e10 | + | 5.60301e10i | 0.285088 | + | 0.279716i | ||||
\(670\) | −2.13542e11 | + | 1.79183e11i | −1.05970 | + | 0.889196i | ||||
\(671\) | −2.05890e11 | + | 5.65678e11i | −1.01565 | + | 2.79048i | ||||
\(672\) | 9.62647e9 | − | 1.23556e11i | 0.0472052 | − | 0.605881i | ||||
\(673\) | −1.33595e10 | + | 7.57657e10i | −0.0651225 | + | 0.369328i | 0.934778 | + | 0.355232i | \(0.115598\pi\) |
−0.999901 | + | 0.0140960i | \(0.995513\pi\) | |||||||
\(674\) | − | 1.30353e11i | − | 0.631655i | ||||||
\(675\) | 1.24529e11 | − | 2.88251e11i | 0.599865 | − | 1.38853i | ||||
\(676\) | −4.20314e9 | −0.0201274 | ||||||||
\(677\) | −2.24167e11 | − | 3.95267e10i | −1.06713 | − | 0.188164i | −0.387612 | − | 0.921823i | \(-0.626700\pi\) |
−0.679518 | + | 0.733659i | \(0.737811\pi\) | |||||||
\(678\) | −6.97139e10 | + | 1.01605e11i | −0.329914 | + | 0.480836i | ||||
\(679\) | −3.89277e10 | − | 1.41685e10i | −0.183138 | − | 0.0666569i | ||||
\(680\) | −3.46708e11 | − | 4.13191e11i | −1.62154 | − | 1.93248i | ||||
\(681\) | 5.00984e10 | + | 1.29144e10i | 0.232935 | + | 0.0600460i | ||||
\(682\) | 4.24442e10 | − | 1.54484e10i | 0.196192 | − | 0.0714079i | ||||
\(683\) | −6.00315e10 | − | 3.46592e10i | −0.275865 | − | 0.159271i | 0.355685 | − | 0.934606i | \(-0.384248\pi\) |
−0.631550 | + | 0.775335i | \(0.717581\pi\) | |||||||
\(684\) | 9.91912e6 | + | 5.21347e8i | 4.53157e−5 | + | 0.00238178i | ||||
\(685\) | −1.83930e11 | − | 3.18576e11i | −0.835392 | − | 1.44694i | ||||
\(686\) | 1.02921e11 | − | 1.22657e11i | 0.464738 | − | 0.553853i | ||||
\(687\) | −4.03371e10 | + | 2.88200e10i | −0.181083 | + | 0.129380i | ||||
\(688\) | 1.72355e10 | + | 9.77475e10i | 0.0769255 | + | 0.436266i | ||||
\(689\) | 1.88881e11 | − | 3.33048e10i | 0.838129 | − | 0.147785i | ||||
\(690\) | −9.32325e10 | − | 1.30490e11i | −0.411312 | − | 0.575681i | ||||
\(691\) | −6.29010e10 | − | 5.27802e10i | −0.275896 | − | 0.231504i | 0.494331 | − | 0.869274i | \(-0.335413\pi\) |
−0.770228 | + | 0.637769i | \(0.779857\pi\) | |||||||
\(692\) | 7.25930e10 | − | 4.19116e10i | 0.316570 | − | 0.182772i | ||||
\(693\) | −2.15418e11 | − | 3.57243e11i | −0.934003 | − | 1.54893i | ||||
\(694\) | −1.36208e9 | + | 2.35919e9i | −0.00587170 | + | 0.0101701i | ||||
\(695\) | 1.43026e11 | + | 3.92962e11i | 0.613024 | + | 1.68427i | ||||
\(696\) | −8.44275e10 | + | 3.27518e11i | −0.359788 | + | 1.39572i | ||||
\(697\) | −4.37852e11 | + | 3.67402e11i | −1.85522 | + | 1.55672i | ||||
\(698\) | 7.52914e10 | − | 2.06861e11i | 0.317193 | − | 0.871480i | ||||
\(699\) | −2.35115e11 | − | 1.61319e11i | −0.984854 | − | 0.675734i | ||||
\(700\) | −1.98276e10 | + | 1.12448e11i | −0.0825808 | + | 0.468339i | ||||
\(701\) | − | 3.67111e11i | − | 1.52029i | −0.649755 | − | 0.760144i | \(-0.725129\pi\) | ||
0.649755 | − | 0.760144i | \(-0.274871\pi\) | |||||||
\(702\) | 4.57996e10 | − | 1.92768e11i | 0.188588 | − | 0.793757i | ||||
\(703\) | 8.30101e8 | 0.00339867 | ||||||||
\(704\) | 4.33997e11 | + | 7.65254e10i | 1.76684 | + | 0.311541i | ||||
\(705\) | 9.95744e10 | + | 7.75801e9i | 0.403080 | + | 0.0314047i | ||||
\(706\) | 6.59803e10 | + | 2.40149e10i | 0.265580 | + | 0.0966633i | ||||
\(707\) | 2.98908e11 | + | 3.56224e11i | 1.19635 | + | 1.42576i | ||||
\(708\) | 2.87164e10 | − | 2.92679e10i | 0.114287 | − | 0.116482i | ||||
\(709\) | −2.03327e10 | + | 7.40048e9i | −0.0804654 | + | 0.0292870i | −0.381939 | − | 0.924187i | \(-0.624744\pi\) |
0.301474 | + | 0.953474i | \(0.402521\pi\) | |||||||
\(710\) | 1.43054e11 | + | 8.25922e10i | 0.562945 | + | 0.325017i | ||||
\(711\) | 6.93455e10 | + | 7.95203e10i | 0.271356 | + | 0.311171i | ||||
\(712\) | 9.93270e10 | + | 1.72039e11i | 0.386498 | + | 0.669435i | ||||
\(713\) | 1.32474e10 | − | 1.57876e10i | 0.0512593 | − | 0.0610884i | ||||
\(714\) | 3.25296e11 | + | 1.47938e11i | 1.25166 | + | 0.569228i | ||||
\(715\) | −1.13092e11 | − | 6.41374e11i | −0.432719 | − | 2.45407i | ||||
\(716\) | −5.39653e10 | + | 9.51553e9i | −0.205335 | + | 0.0362060i | ||||
\(717\) | −2.53488e11 | + | 2.46090e10i | −0.959138 | + | 0.0931147i | ||||
\(718\) | −2.75086e11 | − | 2.30825e11i | −1.03507 | − | 0.868529i | ||||
\(719\) | −2.85002e11 | + | 1.64546e11i | −1.06643 | + | 0.615703i | −0.927204 | − | 0.374557i | \(-0.877795\pi\) |
−0.139226 | + | 0.990261i | \(0.544461\pi\) | |||||||
\(720\) | −2.10846e11 | − | 1.70192e11i | −0.784575 | − | 0.633299i | ||||
\(721\) | −1.04810e11 | + | 1.81535e11i | −0.387846 | + | 0.671770i | ||||
\(722\) | 7.86632e10 | + | 2.16125e11i | 0.289483 | + | 0.795347i | ||||
\(723\) | 2.80963e11 | − | 7.81556e10i | 1.02824 | − | 0.286027i | ||||
\(724\) | −1.27428e10 | + | 1.06925e10i | −0.0463780 | + | 0.0389158i | ||||
\(725\) | 1.89619e11 | − | 5.20973e11i | 0.686324 | − | 1.88566i | ||||
\(726\) | 3.52261e11 | − | 1.68360e11i | 1.26800 | − | 0.606027i | ||||
\(727\) | −6.75215e10 | + | 3.82933e11i | −0.241715 | + | 1.37084i | 0.586283 | + | 0.810106i | \(0.300590\pi\) |
−0.827999 | + | 0.560730i | \(0.810521\pi\) | |||||||
\(728\) | 3.26174e11i | 1.16124i | ||||||||
\(729\) | 2.52248e11 | + | 1.27033e11i | 0.893135 | + | 0.449788i | ||||
\(730\) | −9.39508e10 | −0.330833 | ||||||||
\(731\) | 2.86878e11 | + | 5.05843e10i | 1.00468 | + | 0.177152i | ||||
\(732\) | 6.39079e10 | + | 1.33715e11i | 0.222592 | + | 0.465733i | ||||
\(733\) | 2.34914e11 | + | 8.55016e10i | 0.813753 | + | 0.296182i | 0.715173 | − | 0.698947i | \(-0.246348\pi\) |
0.0985795 | + | 0.995129i | \(0.468570\pi\) | |||||||
\(734\) | 2.47882e11 | + | 2.95415e11i | 0.854007 | + | 1.01777i | ||||
\(735\) | −2.84837e10 | − | 1.02397e11i | −0.0975994 | − | 0.350862i | ||||
\(736\) | 7.96834e10 | − | 2.90024e10i | 0.271554 | − | 0.0988377i | ||||
\(737\) | −4.29672e11 | − | 2.48071e11i | −1.45635 | − | 0.840827i | ||||
\(738\) | −2.60736e11 | + | 3.23018e11i | −0.878972 | + | 1.08893i | ||||
\(739\) | −2.59650e11 | − | 4.49726e11i | −0.870582 | − | 1.50789i | −0.861395 | − | 0.507935i | \(-0.830409\pi\) |
−0.00918707 | − | 0.999958i | \(-0.502924\pi\) | |||||||
\(740\) | 3.50390e10 | − | 4.17579e10i | 0.116849 | − | 0.139255i | ||||
\(741\) | −2.35927e8 | − | 2.43020e9i | −0.000782538 | − | 0.00806063i | ||||
\(742\) | 4.36261e10 | + | 2.47416e11i | 0.143923 | + | 0.816228i | ||||
\(743\) | −1.13404e11 | + | 1.99962e10i | −0.372112 | + | 0.0656133i | −0.356577 | − | 0.934266i | \(-0.616056\pi\) |
−0.0155348 | + | 0.999879i | \(0.504945\pi\) | |||||||
\(744\) | 2.08401e10 | − | 4.58248e10i | 0.0680157 | − | 0.149558i | ||||
\(745\) | 3.64966e11 | + | 3.06243e11i | 1.18475 | + | 0.994124i | ||||
\(746\) | 3.72504e10 | − | 2.15065e10i | 0.120275 | − | 0.0694409i | ||||
\(747\) | −2.25127e10 | + | 1.96322e10i | −0.0723012 | + | 0.0630501i | ||||
\(748\) | 1.06029e11 | − | 1.83648e11i | 0.338703 | − | 0.586652i | ||||
\(749\) | −5.60173e10 | − | 1.53906e11i | −0.177990 | − | 0.489023i | ||||
\(750\) | 1.55322e11 | + | 1.52395e11i | 0.490893 | + | 0.481642i | ||||
\(751\) | −2.06886e11 | + | 1.73598e11i | −0.650387 | + | 0.545740i | −0.907188 | − | 0.420725i | \(-0.861776\pi\) |
0.256801 | + | 0.966464i | \(0.417331\pi\) | |||||||
\(752\) | 1.77456e10 | − | 4.87557e10i | 0.0554907 | − | 0.152459i | ||||
\(753\) | 1.02250e10 | − | 1.31238e11i | 0.0318041 | − | 0.408207i | ||||
\(754\) | 6.07478e10 | − | 3.44518e11i | 0.187951 | − | 1.06592i | ||||
\(755\) | 5.02080e11i | 1.54520i | ||||||||
\(756\) | −9.99212e10 | − | 2.37402e10i | −0.305893 | − | 0.0726769i | ||||
\(757\) | −3.18441e11 | −0.969719 | −0.484859 | − | 0.874592i | \(-0.661129\pi\) | ||||
−0.484859 | + | 0.874592i | \(0.661129\pi\) | |||||||
\(758\) | −3.51593e11 | − | 6.19953e10i | −1.06503 | − | 0.187794i | ||||
\(759\) | 1.61489e11 | − | 2.35364e11i | 0.486606 | − | 0.709208i | ||||
\(760\) | −4.53627e9 | − | 1.65107e9i | −0.0135971 | − | 0.00494892i | ||||
\(761\) | 2.11330e11 | + | 2.51853e11i | 0.630118 | + | 0.750946i | 0.982775 | − | 0.184807i | \(-0.0591660\pi\) |
−0.352656 | + | 0.935753i | \(0.614722\pi\) | |||||||
\(762\) | −2.60613e11 | − | 6.71809e10i | −0.772995 | − | 0.199263i | ||||
\(763\) | 5.05416e10 | − | 1.83956e10i | 0.149125 | − | 0.0542771i | ||||
\(764\) | 6.19778e9 | + | 3.57829e9i | 0.0181913 | + | 0.0105027i | ||||
\(765\) | −6.81015e11 | + | 4.10652e11i | −1.98843 | + | 1.19903i | ||||
\(766\) | 6.01628e10 | + | 1.04205e11i | 0.174748 | + | 0.302673i | ||||
\(767\) | −1.23412e11 | + | 1.47076e11i | −0.356594 | + | 0.424972i | ||||
\(768\) | 2.19583e11 | − | 1.56887e11i | 0.631180 | − | 0.450964i | ||||
\(769\) | 5.37175e10 | + | 3.04647e11i | 0.153607 | + | 0.871148i | 0.960048 | + | 0.279834i | \(0.0902794\pi\) |
−0.806442 | + | 0.591314i | \(0.798609\pi\) | |||||||
\(770\) | 8.40138e11 | − | 1.48139e11i | 2.38994 | − | 0.421412i | ||||
\(771\) | 2.70098e10 | + | 3.78035e10i | 0.0764369 | + | 0.106983i | ||||
\(772\) | −1.40930e11 | − | 1.18254e11i | −0.396765 | − | 0.332925i | ||||
\(773\) | 4.97453e11 | − | 2.87205e11i | 1.39327 | − | 0.804403i | 0.399591 | − | 0.916694i | \(-0.369152\pi\) |
0.993675 | + | 0.112291i | \(0.0358189\pi\) | |||||||
\(774\) | 2.11527e11 | − | 4.02450e9i | 0.589388 | − | 0.0112137i | ||||
\(775\) | −4.12589e10 | + | 7.14625e10i | −0.114370 | + | 0.198094i | ||||
\(776\) | −2.36803e10 | − | 6.50612e10i | −0.0653042 | − | 0.179422i | ||||
\(777\) | −4.08118e10 | + | 1.58320e11i | −0.111970 | + | 0.434363i | ||||
\(778\) | 6.18638e10 | − | 5.19099e10i | 0.168857 | − | 0.141688i | ||||
\(779\) | −1.74961e9 | + | 4.80703e9i | −0.00475108 | + | 0.0130535i | ||||
\(780\) | −1.32209e11 | − | 9.07119e10i | −0.357176 | − | 0.245067i | ||||
\(781\) | −5.10524e10 | + | 2.89533e11i | −0.137218 | + | 0.778204i | ||||
\(782\) | 2.44515e11i | 0.653849i | ||||||||
\(783\) | 4.57774e11 | + | 1.97765e11i | 1.21788 | + | 0.526142i | ||||
\(784\) | −5.52138e10 | −0.146145 | ||||||||
\(785\) | 4.50726e11 | + | 7.94751e10i | 1.18695 | + | 0.209292i | ||||
\(786\) | −4.59872e11 | − | 3.58294e10i | −1.20489 | − | 0.0938749i | ||||
\(787\) | 4.88907e11 | + | 1.77948e11i | 1.27446 | + | 0.463867i | 0.888598 | − | 0.458687i | \(-0.151680\pi\) |
0.385867 | + | 0.922555i | \(0.373902\pi\) | |||||||
\(788\) | −1.99732e10 | − | 2.38032e10i | −0.0518017 | − | 0.0617348i | ||||
\(789\) | 3.98769e11 | − | 4.06428e11i | 1.02900 | − | 1.04876i | ||||
\(790\) | −2.02753e11 | + | 7.37962e10i | −0.520547 | + | 0.189463i | ||||
\(791\) | −2.59008e11 | − | 1.49538e11i | −0.661618 | − | 0.381985i | ||||
\(792\) | 2.25958e11 | − | 6.59594e11i | 0.574285 | − | 1.67639i | ||||
\(793\) | −3.46976e11 | − | 6.00979e11i | −0.877417 | − | 1.51973i | ||||
\(794\) | −2.78904e10 | + | 3.32384e10i | −0.0701733 | + | 0.0836293i | ||||
\(795\) | −5.08926e11 | − | 2.31449e11i | −1.27405 | − | 0.579410i | ||||
\(796\) | −1.22809e10 | − | 6.96484e10i | −0.0305899 | − | 0.173484i | ||||
\(797\) | −2.25157e11 | + | 3.97012e10i | −0.558023 | + | 0.0983945i | −0.445545 | − | 0.895260i | \(-0.646990\pi\) |
−0.112478 | + | 0.993654i | \(0.535879\pi\) | |||||||
\(798\) | 3.18333e9 | − | 3.09042e8i | 0.00785000 | − | 0.000762090i | ||||
\(799\) | −1.16650e11 | − | 9.78811e10i | −0.286219 | − | 0.240166i | ||||
\(800\) | −2.94034e11 | + | 1.69760e11i | −0.717856 | + | 0.414454i | ||||
\(801\) | 2.73270e11 | − | 1.05391e11i | 0.663838 | − | 0.256020i | ||||
\(802\) | 2.64464e11 | − | 4.58065e11i | 0.639248 | − | 1.10721i | ||||
\(803\) | −5.71912e10 | − | 1.57132e11i | −0.137552 | − | 0.377921i | ||||
\(804\) | −1.17678e11 | + | 3.27345e10i | −0.281625 | + | 0.0783397i | ||||
\(805\) | 2.98184e11 | − | 2.50206e11i | 0.710069 | − | 0.595819i | ||||
\(806\) | −1.78086e10 | + | 4.89287e10i | −0.0421978 | + | 0.115937i | ||||
\(807\) | 6.21493e11 | − | 2.97036e11i | 1.46535 | − | 0.700350i | ||||
\(808\) | −1.34960e11 | + | 7.65393e11i | −0.316634 | + | 1.79572i | ||||
\(809\) | − | 2.80231e11i | − | 0.654218i | −0.944987 | − | 0.327109i | \(-0.893926\pi\) | ||
0.944987 | − | 0.327109i | \(-0.106074\pi\) | |||||||
\(810\) | −4.27998e11 | + | 3.87812e11i | −0.994264 | + | 0.900910i | ||||
\(811\) | −6.94464e11 | −1.60534 | −0.802668 | − | 0.596426i | \(-0.796587\pi\) | ||||
−0.802668 | + | 0.596426i | \(0.796587\pi\) | |||||||
\(812\) | −1.78580e11 | − | 3.14885e10i | −0.410780 | − | 0.0724316i | ||||
\(813\) | 1.28013e11 | + | 2.67843e11i | 0.293015 | + | 0.613080i | ||||
\(814\) | −2.30391e11 | − | 8.38555e10i | −0.524769 | − | 0.191000i | ||||
\(815\) | 2.90455e11 | + | 3.46151e11i | 0.658338 | + | 0.784577i | ||||
\(816\) | 1.10715e11 | + | 3.98011e11i | 0.249716 | + | 0.897707i | ||||
\(817\) | 2.44990e9 | − | 8.91690e8i | 0.00549870 | − | 0.00200136i | ||||
\(818\) | −4.92774e11 | − | 2.84503e11i | −1.10061 | − | 0.635440i | ||||
\(819\) | 4.75097e11 | + | 7.44833e10i | 1.05596 | + | 0.165548i | ||||
\(820\) | 1.67963e11 | + | 2.90921e11i | 0.371500 | + | 0.643458i | ||||
\(821\) | 9.00287e10 | − | 1.07292e11i | 0.198157 | − | 0.236154i | −0.657811 | − | 0.753183i | \(-0.728518\pi\) |
0.855968 | + | 0.517029i | \(0.172962\pi\) | |||||||
\(822\) | 3.93595e10 | + | 4.05428e11i | 0.0862110 | + | 0.888027i | ||||
\(823\) | 1.32353e11 | + | 7.50609e11i | 0.288492 | + | 1.63612i | 0.692540 | + | 0.721379i | \(0.256492\pi\) |
−0.404048 | + | 0.914738i | \(0.632397\pi\) | |||||||
\(824\) | −3.45021e11 | + | 6.08365e10i | −0.748405 | + | 0.131964i | ||||
\(825\) | −4.73124e11 | + | 1.04034e12i | −1.02131 | + | 2.24574i | ||||
\(826\) | −1.92656e11 | − | 1.61657e11i | −0.413868 | − | 0.347276i | ||||
\(827\) | 1.73429e11 | − | 1.00129e11i | 0.370765 | − | 0.214061i | −0.303028 | − | 0.952982i | \(-0.597997\pi\) |
0.673793 | + | 0.738921i | \(0.264664\pi\) | |||||||
\(828\) | −1.35169e10 | − | 6.89603e10i | −0.0287579 | − | 0.146716i | ||||
\(829\) | 3.02214e11 | − | 5.23449e11i | 0.639876 | − | 1.10830i | −0.345584 | − | 0.938388i | \(-0.612319\pi\) |
0.985460 | − | 0.169910i | \(-0.0543476\pi\) | |||||||
\(830\) | −2.08922e10 | − | 5.74008e10i | −0.0440222 | − | 0.120950i | ||||
\(831\) | −4.51635e11 | − | 4.43124e11i | −0.947072 | − | 0.929225i | ||||
\(832\) | −3.89166e11 | + | 3.26549e11i | −0.812160 | + | 0.681483i | ||||
\(833\) | −5.54231e10 | + | 1.52274e11i | −0.115109 | + | 0.316260i | ||||
\(834\) | 3.59684e10 | − | 4.61656e11i | 0.0743459 | − | 0.954233i | ||||
\(835\) | 4.32152e10 | − | 2.45085e11i | 0.0888976 | − | 0.504164i | ||||
\(836\) | − | 1.89790e9i | − | 0.00388551i | ||||||
\(837\) | −6.19883e10 | − | 4.08195e10i | −0.126301 | − | 0.0831699i | ||||
\(838\) | 3.35928e11 | 0.681193 | ||||||||
\(839\) | −8.98602e11 | − | 1.58448e11i | −1.81351 | − | 0.319771i | −0.839002 | − | 0.544129i | \(-0.816860\pi\) |
−0.974507 | + | 0.224358i | \(0.927972\pi\) | |||||||
\(840\) | 5.37924e11 | − | 7.84003e11i | 1.08045 | − | 1.57471i | ||||
\(841\) | 3.57286e11 | + | 1.30041e11i | 0.714219 | + | 0.259955i | ||||
\(842\) | −4.93835e11 | − | 5.88529e11i | −0.982502 | − | 1.17090i | ||||
\(843\) | −1.22798e11 | − | 3.16548e10i | −0.243153 | − | 0.0626801i | ||||
\(844\) | 9.88087e10 | − | 3.59634e10i | 0.194727 | − | 0.0708747i | ||||
\(845\) | −4.96842e10 | − | 2.86852e10i | −0.0974521 | − | 0.0562640i | ||||
\(846\) | −9.68114e10 | − | 5.34649e10i | −0.188993 | − | 0.104373i | ||||
\(847\) | 4.73810e11 | + | 8.20663e11i | 0.920599 | + | 1.59452i | ||||
\(848\) | −1.86690e11 | + | 2.22489e11i | −0.361026 | + | 0.430254i | ||||
\(849\) | −5.26348e11 | + | 3.76065e11i | −1.01308 | + | 0.723822i | ||||
\(850\) | −1.70004e11 | − | 9.64141e11i | −0.325674 | − | 1.84699i | ||||
\(851\) | −1.10170e11 | + | 1.94259e10i | −0.210060 | + | 0.0370393i | ||||
\(852\) | 4.20776e10 | + | 5.88927e10i | 0.0798532 | + | 0.111764i | ||||
\(853\) | 4.59900e10 | + | 3.85902e10i | 0.0868695 | + | 0.0728922i | 0.685188 | − | 0.728366i | \(-0.259720\pi\) |
−0.598319 | + | 0.801258i | \(0.704164\pi\) | |||||||
\(854\) | 7.87225e11 | − | 4.54505e11i | 1.48002 | − | 0.854490i | ||||
\(855\) | −3.44078e9 | + | 6.23039e9i | −0.00643862 | + | 0.0116587i | ||||
\(856\) | 1.36869e11 | − | 2.37064e11i | 0.254923 | − | 0.441540i | ||||
\(857\) | −1.56719e11 | − | 4.30581e11i | −0.290535 | − | 0.798237i | −0.995988 | − | 0.0894815i | \(-0.971479\pi\) |
0.705454 | − | 0.708756i | \(-0.250743\pi\) | |||||||
\(858\) | −1.80014e11 | + | 6.98325e11i | −0.332168 | + | 1.28857i | ||||
\(859\) | 2.76176e11 | − | 2.31740e11i | 0.507241 | − | 0.425625i | −0.352916 | − | 0.935655i | \(-0.614810\pi\) |
0.860157 | + | 0.510030i | \(0.170366\pi\) | |||||||
\(860\) | 5.85556e10 | − | 1.60880e11i | 0.107047 | − | 0.294109i | ||||
\(861\) | −8.30796e11 | − | 5.70031e11i | −1.51176 | − | 1.03726i | ||||
\(862\) | 1.51996e11 | − | 8.62015e11i | 0.275299 | − | 1.56130i | ||||
\(863\) | 8.65609e11i | 1.56055i | 0.625435 | + | 0.780276i | \(0.284922\pi\) | ||||
−0.625435 | + | 0.780276i | \(0.715078\pi\) | |||||||
\(864\) | −1.36905e11 | − | 2.72977e11i | −0.245677 | − | 0.489860i | ||||
\(865\) | 1.14414e12 | 2.04368 | ||||||||
\(866\) | 3.54280e11 | + | 6.24692e10i | 0.629906 | + | 0.111069i | ||||
\(867\) | 6.45477e11 | + | 5.02903e10i | 1.14236 | + | 0.0890036i | ||||
\(868\) | 2.53621e10 | + | 9.23105e9i | 0.0446793 | + | 0.0162619i | ||||
\(869\) | −2.46846e11 | − | 2.94180e11i | −0.432860 | − | 0.515863i | ||||
\(870\) | −7.14192e11 | + | 7.27910e11i | −1.24663 | + | 1.27058i | ||||
\(871\) | 5.37450e11 | − | 1.95616e11i | 0.933825 | − | 0.339885i | ||||
\(872\) | 7.78497e10 | + | 4.49465e10i | 0.134645 | + | 0.0777375i | ||||
\(873\) | −1.00174e11 | + | 1.96352e10i | −0.172464 | + | 0.0338047i | ||||
\(874\) | 1.09419e9 | + | 1.89519e9i | 0.00187519 | + | 0.00324793i | ||||
\(875\) | −3.39482e11 | + | 4.04579e11i | −0.579142 | + | 0.690195i | ||||
\(876\) | −3.74739e10 | − | 1.70423e10i | −0.0636374 | − | 0.0289409i | ||||
\(877\) | −5.54872e10 | − | 3.14683e11i | −0.0937981 | − | 0.531956i | −0.995109 | − | 0.0987829i | \(-0.968505\pi\) |
0.901311 | − | 0.433173i | \(-0.142606\pi\) | |||||||
\(878\) | −7.50743e11 | + | 1.32376e11i | −1.26332 | + | 0.222757i | ||||
\(879\) | 8.59498e11 | − | 8.34414e10i | 1.43976 | − | 0.139774i | ||||
\(880\) | 7.55496e11 | + | 6.33936e11i | 1.25980 | + | 1.05710i | ||||
\(881\) | −7.29538e11 | + | 4.21199e11i | −1.21100 | + | 0.699172i | −0.962977 | − | 0.269582i | \(-0.913114\pi\) |
−0.248024 | + | 0.968754i | \(0.579781\pi\) | |||||||
\(882\) | −1.82281e10 | + | 1.16269e11i | −0.0301209 | + | 0.192128i | ||||
\(883\) | −5.44619e11 | + | 9.43307e11i | −0.895880 | + | 1.55171i | −0.0631678 | + | 0.998003i | \(0.520120\pi\) |
−0.832712 | + | 0.553706i | \(0.813213\pi\) | |||||||
\(884\) | 8.36091e10 | + | 2.29714e11i | 0.136913 | + | 0.376165i | ||||
\(885\) | 5.39193e11 | − | 1.49988e11i | 0.878965 | − | 0.244502i | ||||
\(886\) | 3.43370e11 | − | 2.88121e11i | 0.557221 | − | 0.467564i | ||||
\(887\) | 1.25823e11 | − | 3.45697e11i | 0.203267 | − | 0.558471i | −0.795612 | − | 0.605806i | \(-0.792851\pi\) |
0.998879 | + | 0.0473352i | \(0.0150729\pi\) | |||||||
\(888\) | −2.46545e11 | + | 1.17834e11i | −0.396501 | + | 0.189503i | ||||
\(889\) | 1.13431e11 | − | 6.43299e11i | 0.181604 | − | 1.02992i | ||||
\(890\) | 5.98954e11i | 0.954626i | ||||||||
\(891\) | −9.09149e11 | − | 4.79747e11i | −1.44253 | − | 0.761204i | ||||
\(892\) | −7.16881e10 | −0.113237 | ||||||||
\(893\) | −1.34215e9 | − | 2.36657e8i | −0.00211054 | − | 0.000372145i | ||||
\(894\) | −2.27491e11 | − | 4.75983e11i | −0.356135 | − | 0.745146i | ||||
\(895\) | −7.02849e11 | − | 2.55816e11i | −1.09539 | − | 0.398690i | ||||
\(896\) | −1.75980e11 | − | 2.09725e11i | −0.273043 | − | 0.325400i | ||||
\(897\) | 8.81831e10 | + | 3.17011e11i | 0.136212 | + | 0.489671i | ||||
\(898\) | −9.22825e11 | + | 3.35881e11i | −1.41910 | + | 0.516511i | ||||
\(899\) | −1.13490e11 | − | 6.55237e10i | −0.173748 | − | 0.100314i | ||||
\(900\) | 1.01245e11 | + | 2.62518e11i | 0.154313 | + | 0.400119i | ||||
\(901\) | 4.26202e11 | + | 7.38204e11i | 0.646721 | + | 1.12015i | ||||
\(902\) | 9.71197e11 | − | 1.15743e12i | 1.46717 | − | 1.74851i | ||||
\(903\) | 4.96179e10 | + | 5.11095e11i | 0.0746255 | + | 0.768689i | ||||
\(904\) | −8.67993e10 | − | 4.92263e11i | −0.129970 | − | 0.737096i | ||||
\(905\) | −2.23603e11 | + | 3.94272e10i | −0.333337 | + | 0.0587762i | ||||
\(906\) | 2.30154e11 | − | 5.06079e11i | 0.341590 | − | 0.751114i | ||||
\(907\) | −1.47819e11 | − | 1.24035e11i | −0.218425 | − | 0.183280i | 0.527009 | − | 0.849860i | \(-0.323313\pi\) |
−0.745434 | + | 0.666579i | \(0.767758\pi\) | |||||||
\(908\) | −4.01481e10 | + | 2.31795e10i | −0.0590638 | + | 0.0341005i | ||||
\(909\) | 1.08403e12 | + | 3.71360e11i | 1.58777 | + | 0.543925i | ||||
\(910\) | −4.91717e11 | + | 8.51678e11i | −0.717050 | + | 1.24197i | ||||
\(911\) | 3.85785e10 | + | 1.05994e11i | 0.0560109 | + | 0.153889i | 0.964543 | − | 0.263927i | \(-0.0850179\pi\) |
−0.908532 | + | 0.417816i | \(0.862796\pi\) | |||||||
\(912\) | 2.63921e9 | + | 2.58947e9i | 0.00381500 | + | 0.00374310i | ||||
\(913\) | 8.32844e10 | − | 6.98839e10i | 0.119862 | − | 0.100576i | ||||
\(914\) | −2.46348e11 | + | 6.76834e11i | −0.352991 | + | 0.969835i | ||||
\(915\) | −1.57130e11 | + | 2.01676e12i | −0.224168 | + | 2.87720i | ||||
\(916\) | 7.71387e9 | − | 4.37475e10i | 0.0109570 | − | 0.0621401i | ||||
\(917\) | − | 1.11955e12i | − | 1.58332i | ||||||
\(918\) | 8.74684e11 | − | 1.01745e11i | 1.23163 | − | 0.143266i | ||||
\(919\) | 3.60073e11 | 0.504811 | 0.252405 | − | 0.967622i | \(-0.418778\pi\) | ||||
0.252405 | + | 0.967622i | \(0.418778\pi\) | |||||||
\(920\) | 6.40686e11 | + | 1.12970e11i | 0.894322 | + | 0.157693i | ||||
\(921\) | 1.30625e11 | − | 1.90381e11i | 0.181546 | − | 0.264597i | ||||
\(922\) | −3.89946e11 | − | 1.41929e11i | −0.539610 | − | 0.196402i | ||||
\(923\) | −2.17851e11 | − | 2.59625e11i | −0.300160 | − | 0.357717i | ||||
\(924\) | 3.61975e11 | + | 9.33100e10i | 0.496582 | + | 0.128009i | ||||
\(925\) | 4.20902e11 | − | 1.53196e11i | 0.574929 | − | 0.209257i | ||||
\(926\) | 3.78090e11 | + | 2.18290e11i | 0.514223 | + | 0.296887i | ||||
\(927\) | 9.82578e9 | + | 5.16441e11i | 0.0133060 | + | 0.699362i | ||||
\(928\) | −2.69598e11 | − | 4.66958e11i | −0.363518 | − | 0.629631i | ||||
\(929\) | −4.96330e10 | + | 5.91503e10i | −0.0666358 | + | 0.0794135i | −0.798333 | − | 0.602217i | \(-0.794284\pi\) |
0.731697 | + | 0.681630i | \(0.238729\pi\) | |||||||
\(930\) | 1.23498e11 | − | 8.82369e10i | 0.165093 | − | 0.117956i | ||||
\(931\) | 2.51841e8 | + | 1.42826e9i | 0.000335218 | + | 0.00190112i | ||||
\(932\) | 2.51620e11 | − | 4.43673e10i | 0.333489 | − | 0.0588030i | ||||
\(933\) | 5.37737e11 | + | 7.52629e11i | 0.709649 | + | 0.993240i | ||||
\(934\) | 5.38974e11 | + | 4.52253e11i | 0.708240 | + | 0.594284i | ||||
\(935\) | 2.50669e12 | − | 1.44724e12i | 3.27985 | − | 1.89362i | ||||
\(936\) | 4.15040e11 | + | 6.88293e11i | 0.540738 | + | 0.896747i | ||||
\(937\) | −5.46345e10 | + | 9.46298e10i | −0.0708776 | + | 0.122764i | −0.899286 | − | 0.437361i | \(-0.855913\pi\) |
0.828409 | + | 0.560124i | \(0.189247\pi\) | |||||||
\(938\) | 2.56238e11 | + | 7.04008e11i | 0.331003 | + | 0.909424i | ||||
\(939\) | −9.11028e10 | + | 3.53413e11i | −0.117184 | + | 0.454590i | ||||
\(940\) | −6.85577e10 | + | 5.75267e10i | −0.0878102 | + | 0.0736815i | ||||
\(941\) | −1.51783e11 | + | 4.17019e11i | −0.193581 | + | 0.531860i | −0.998069 | − | 0.0621085i | \(-0.980218\pi\) |
0.804488 | + | 0.593969i | \(0.202440\pi\) | |||||||
\(942\) | −4.17885e11 | − | 2.86721e11i | −0.530705 | − | 0.364130i | ||||
\(943\) | 1.19713e11 | − | 6.78926e11i | 0.151389 | − | 0.858569i | ||||
\(944\) | − | 2.90741e11i | − | 0.366116i | ||||||
\(945\) | −1.01912e12 | − | 9.62557e11i | −1.27790 | − | 1.20698i | ||||
\(946\) | −7.70037e11 | −0.961495 | ||||||||
\(947\) | 5.80418e11 | + | 1.02343e11i | 0.721673 | + | 0.127250i | 0.522409 | − | 0.852695i | \(-0.325034\pi\) |
0.199265 | + | 0.979946i | \(0.436145\pi\) | |||||||
\(948\) | −9.42580e10 | − | 7.34380e9i | −0.116704 | − | 0.00909259i | ||||
\(949\) | 1.81138e11 | + | 6.59288e10i | 0.223329 | + | 0.0812850i | ||||
\(950\) | −5.63214e9 | − | 6.71213e9i | −0.00691479 | − | 0.00824073i | ||||
\(951\) | −3.03827e11 | + | 3.09663e11i | −0.371454 | + | 0.378588i | ||||
\(952\) | −1.36221e12 | + | 4.95805e11i | −1.65843 | + | 0.603619i | ||||
\(953\) | 1.23865e10 | + | 7.15133e9i | 0.0150168 | + | 0.00866992i | 0.507490 | − | 0.861658i | \(-0.330574\pi\) |
−0.492473 | + | 0.870328i | \(0.663907\pi\) | |||||||
\(954\) | 4.06884e11 | + | 4.66585e11i | 0.491221 | + | 0.563297i | ||||
\(955\) | 4.88415e10 | + | 8.45960e10i | 0.0587186 | + | 0.101704i | ||||
\(956\) | 1.46691e11 | − | 1.74819e11i | 0.175619 | − | 0.209294i | ||||
\(957\) | −1.65217e12 | − | 7.51373e11i | −1.96974 | − | 0.895794i | ||||
\(958\) | −5.34486e10 | − | 3.03122e11i | −0.0634562 | − | 0.359878i | ||||
\(959\) | −9.73635e11 | + | 1.71678e11i | −1.15112 | + | 0.202974i | ||||
\(960\) | 1.47396e12 | − | 1.43094e11i | 1.73540 | − | 0.168475i | ||||
\(961\) | −6.38411e11 | − | 5.35690e11i | −0.748526 | − | 0.628088i | ||||
\(962\) | 2.44769e11 | − | 1.41317e11i | 0.285796 | − | 0.165004i | ||||
\(963\) | −3.14046e11 | − | 2.53494e11i | −0.365164 | − | 0.294756i | ||||
\(964\) | −1.30660e11 | + | 2.26310e11i | −0.151299 | + | 0.262057i | ||||
\(965\) | −8.58842e11 | − | 2.35965e12i | −0.990385 | − | 2.72106i | ||||
\(966\) | −4.15254e11 | + | 1.15511e11i | −0.476876 | + | 0.132653i | ||||
\(967\) | −1.09840e11 | + | 9.21663e10i | −0.125618 | + | 0.105406i | −0.703433 | − | 0.710762i | \(-0.748350\pi\) |
0.577814 | + | 0.816168i | \(0.303906\pi\) | |||||||
\(968\) | −5.41688e11 | + | 1.48828e12i | −0.616947 | + | 1.69505i | ||||
\(969\) | 9.79070e9 | − | 4.67936e9i | 0.0111050 | − | 0.00530752i | ||||
\(970\) | 3.62495e10 | − | 2.05581e11i | 0.0409464 | − | 0.232218i | ||||
\(971\) | 1.68081e12i | 1.89078i | 0.325944 | + | 0.945389i | \(0.394318\pi\) | ||||
−0.325944 | + | 0.945389i | \(0.605682\pi\) | |||||||
\(972\) | −2.41062e11 | + | 7.70483e10i | −0.270062 | + | 0.0863173i | ||||
\(973\) | 1.12390e12 | 1.25394 | ||||||||
\(974\) | −9.17194e11 | − | 1.61726e11i | −1.01912 | − | 0.179698i | ||||
\(975\) | −5.68122e11 | − | 1.18869e12i | −0.628670 | − | 1.31538i | ||||
\(976\) | 9.87491e11 | + | 3.59417e11i | 1.08826 | + | 0.396095i | ||||
\(977\) | 3.78131e11 | + | 4.50639e11i | 0.415015 | + | 0.494596i | 0.932537 | − | 0.361074i | \(-0.117590\pi\) |
−0.517522 | + | 0.855670i | \(0.673145\pi\) | |||||||
\(978\) | −1.34093e11 | − | 4.82054e11i | −0.146572 | − | 0.526915i | ||||
\(979\) | −1.00174e12 | + | 3.64605e11i | −1.09050 | + | 0.396909i | ||||
\(980\) | 8.24785e10 | + | 4.76190e10i | 0.0894204 | + | 0.0516269i | ||||
\(981\) | 8.32453e10 | − | 1.03130e11i | 0.0898843 | − | 0.111355i | ||||
\(982\) | 4.94358e11 | + | 8.56254e11i | 0.531614 | + | 0.920782i | ||||
\(983\) | −5.44055e11 | + | 6.48380e11i | −0.582678 | + | 0.694409i | −0.974181 | − | 0.225768i | \(-0.927511\pi\) |
0.391503 | + | 0.920177i | \(0.371955\pi\) | |||||||
\(984\) | −1.62716e11 | − | 1.67607e12i | −0.173560 | − | 1.78778i | ||||
\(985\) | −7.36486e10 | − | 4.17682e11i | −0.0782384 | − | 0.443712i | ||||
\(986\) | 1.53116e12 | − | 2.69985e11i | 1.62000 | − | 0.285649i | ||||
\(987\) | 1.11123e11 | − | 2.44344e11i | 0.117094 | − | 0.257474i | ||||
\(988\) | 1.67600e9 | + | 1.40633e9i | 0.00175892 | + | 0.00147591i | ||||
\(989\) | −3.04280e11 | + | 1.75676e11i | −0.318045 | + | 0.183623i | ||||
\(990\) | 1.58436e12 | − | 1.38164e12i | 1.64935 | − | 1.43831i | ||||
\(991\) | 4.81519e11 | − | 8.34015e11i | 0.499251 | − | 0.864728i | −0.500749 | − | 0.865593i | \(-0.666942\pi\) |
1.00000 | 0.000864758i | \(0.000275261\pi\) | ||||||||
\(992\) | 2.74484e10 | + | 7.54138e10i | 0.0283446 | + | 0.0778761i | ||||
\(993\) | −2.40544e11 | − | 2.36011e11i | −0.247399 | − | 0.242736i | ||||
\(994\) | 3.40083e11 | − | 2.85364e11i | 0.348369 | − | 0.292317i | ||||
\(995\) | 3.30160e11 | − | 9.07108e11i | 0.336847 | − | 0.925480i | ||||
\(996\) | 2.07908e9 | − | 2.66851e10i | 0.00211268 | − | 0.0271163i | ||||
\(997\) | −1.22891e11 | + | 6.96951e11i | −0.124377 | + | 0.705378i | 0.857299 | + | 0.514819i | \(0.172141\pi\) |
−0.981676 | + | 0.190559i | \(0.938970\pi\) | |||||||
\(998\) | 5.19985e11i | 0.524166i | ||||||||
\(999\) | 1.15334e11 | + | 3.86019e11i | 0.115796 | + | 0.387567i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 27.9.f.a.2.15 | ✓ | 138 | |
3.2 | odd | 2 | 81.9.f.a.8.9 | 138 | |||
27.13 | even | 9 | 81.9.f.a.71.9 | 138 | |||
27.14 | odd | 18 | inner | 27.9.f.a.14.15 | yes | 138 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.9.f.a.2.15 | ✓ | 138 | 1.1 | even | 1 | trivial | |
27.9.f.a.14.15 | yes | 138 | 27.14 | odd | 18 | inner | |
81.9.f.a.8.9 | 138 | 3.2 | odd | 2 | |||
81.9.f.a.71.9 | 138 | 27.13 | even | 9 |