Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [35,10,Mod(3,35)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(35, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([9, 2]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("35.3");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 35 = 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 35.k (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(18.0262542657\) |
Analytic rank: | \(0\) |
Dimension: | \(136\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 3.15 | ||
Character | \(\chi\) | \(=\) | 35.3 |
Dual form | 35.10.k.a.12.15 |
$q$-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 \(\left(\mathbb{Z}/35\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −6.27232 | − | 1.68066i | −0.277200 | − | 0.0742755i | 0.117541 | − | 0.993068i | \(-0.462499\pi\) |
−0.394741 | + | 0.918793i | \(0.629166\pi\) | |||||||
\(3\) | 15.1291 | + | 56.4624i | 0.107837 | + | 0.402452i | 0.998652 | − | 0.0519147i | \(-0.0165324\pi\) |
−0.890815 | + | 0.454366i | \(0.849866\pi\) | |||||||
\(4\) | −406.888 | − | 234.917i | −0.794702 | − | 0.458822i | ||||
\(5\) | −873.884 | − | 1090.62i | −0.625301 | − | 0.780384i | ||||
\(6\) | − | 379.577i | − | 0.119569i | ||||||
\(7\) | 259.777 | − | 6347.14i | 0.0408940 | − | 0.999163i | ||||
\(8\) | 4508.24 | + | 4508.24i | 0.389137 | + | 0.389137i | ||||
\(9\) | 14086.9 | − | 8133.05i | 0.715687 | − | 0.413202i | ||||
\(10\) | 3648.32 | + | 8309.42i | 0.115370 | + | 0.262767i | ||||
\(11\) | −44961.3 | + | 77875.2i | −0.925916 | + | 1.60373i | −0.135835 | + | 0.990731i | \(0.543372\pi\) |
−0.790081 | + | 0.613002i | \(0.789962\pi\) | |||||||
\(12\) | 7108.13 | − | 26527.9i | 0.0989555 | − | 0.369307i | ||||
\(13\) | 60467.0 | − | 60467.0i | 0.587183 | − | 0.587183i | −0.349685 | − | 0.936867i | \(-0.613711\pi\) |
0.936867 | + | 0.349685i | \(0.113711\pi\) | |||||||
\(14\) | −12296.8 | + | 39374.7i | −0.0855492 | + | 0.273931i | ||||
\(15\) | 48358.0 | − | 65841.7i | 0.246636 | − | 0.335807i | ||||
\(16\) | 99577.0 | + | 172472.i | 0.379856 | + | 0.657930i | ||||
\(17\) | −452819. | + | 121333.i | −1.31494 | + | 0.352336i | −0.847079 | − | 0.531468i | \(-0.821641\pi\) |
−0.467858 | + | 0.883804i | \(0.654974\pi\) | |||||||
\(18\) | −102026. | + | 27337.8i | −0.229079 | + | 0.0613816i | ||||
\(19\) | −291502. | − | 504896.i | −0.513157 | − | 0.888814i | −0.999884 | − | 0.0152598i | \(-0.995142\pi\) |
0.486726 | − | 0.873554i | \(-0.338191\pi\) | |||||||
\(20\) | 99368.0 | + | 649050.i | 0.138871 | + | 0.907074i | ||||
\(21\) | 362305. | − | 81358.5i | 0.406525 | − | 0.0912885i | ||||
\(22\) | 412894. | − | 412894.i | 0.375782 | − | 0.375782i | ||||
\(23\) | −405811. | + | 1.51451e6i | −0.302376 | + | 1.12848i | 0.632804 | + | 0.774312i | \(0.281904\pi\) |
−0.935180 | + | 0.354172i | \(0.884763\pi\) | |||||||
\(24\) | −186341. | + | 322752.i | −0.114646 | + | 0.198572i | ||||
\(25\) | −425777. | + | 1.90615e6i | −0.217998 | + | 0.975949i | ||||
\(26\) | −480893. | + | 277644.i | −0.206380 | + | 0.119154i | ||||
\(27\) | 1.48590e6 | + | 1.48590e6i | 0.538086 | + | 0.538086i | ||||
\(28\) | −1.59675e6 | + | 2.52154e6i | −0.490936 | + | 0.775275i | ||||
\(29\) | 3.27059e6i | 0.858687i | 0.903141 | + | 0.429344i | \(0.141255\pi\) | ||||
−0.903141 | + | 0.429344i | \(0.858745\pi\) | |||||||
\(30\) | −413974. | + | 331706.i | −0.0933099 | + | 0.0747667i | ||||
\(31\) | 6.78743e6 | + | 3.91873e6i | 1.32001 | + | 0.762109i | 0.983730 | − | 0.179652i | \(-0.0574971\pi\) |
0.336282 | + | 0.941761i | \(0.390830\pi\) | |||||||
\(32\) | −1.17958e6 | − | 4.40225e6i | −0.198862 | − | 0.742163i | ||||
\(33\) | −5.07724e6 | − | 1.36044e6i | −0.745273 | − | 0.199695i | ||||
\(34\) | 3.04415e6 | 0.390670 | ||||||||
\(35\) | −7.14932e6 | + | 5.26334e6i | −0.805302 | + | 0.592865i | ||||
\(36\) | −7.64236e6 | −0.758344 | ||||||||
\(37\) | −1.62853e6 | − | 436363.i | −0.142853 | − | 0.0382772i | 0.186684 | − | 0.982420i | \(-0.440226\pi\) |
−0.329537 | + | 0.944143i | \(0.606893\pi\) | |||||||
\(38\) | 979833. | + | 3.65679e6i | 0.0762300 | + | 0.284494i | ||||
\(39\) | 4.32892e6 | + | 2.49930e6i | 0.299632 | + | 0.172993i | ||||
\(40\) | 977095. | − | 8.85646e6i | 0.0603485 | − | 0.547004i | ||||
\(41\) | − | 7.67652e6i | − | 0.424265i | −0.977241 | − | 0.212132i | \(-0.931959\pi\) | ||
0.977241 | − | 0.212132i | \(-0.0680408\pi\) | |||||||
\(42\) | −2.40923e6 | − | 98605.4i | −0.119469 | − | 0.00488966i | ||||
\(43\) | 9.94440e6 | + | 9.94440e6i | 0.443578 | + | 0.443578i | 0.893213 | − | 0.449634i | \(-0.148446\pi\) |
−0.449634 | + | 0.893213i | \(0.648446\pi\) | |||||||
\(44\) | 3.65884e7 | − | 2.11243e7i | 1.47166 | − | 0.849661i | ||||
\(45\) | −2.11804e7 | − | 8.25606e6i | −0.769976 | − | 0.300135i | ||||
\(46\) | 5.09075e6 | − | 8.81743e6i | 0.167638 | − | 0.290357i | ||||
\(47\) | −1.83835e6 | + | 6.86081e6i | −0.0549525 | + | 0.205086i | −0.987944 | − | 0.154814i | \(-0.950522\pi\) |
0.932991 | + | 0.359899i | \(0.117189\pi\) | |||||||
\(48\) | −8.23170e6 | + | 8.23170e6i | −0.223823 | + | 0.223823i | ||||
\(49\) | −4.02186e7 | − | 3.29768e6i | −0.996655 | − | 0.0817196i | ||||
\(50\) | 5.87421e6 | − | 1.12404e7i | 0.132918 | − | 0.254341i | ||||
\(51\) | −1.37015e7 | − | 2.37316e7i | −0.283597 | − | 0.491204i | ||||
\(52\) | −3.88080e7 | + | 1.03986e7i | −0.736047 | + | 0.197223i | ||||
\(53\) | 5.93925e7 | − | 1.59142e7i | 1.03393 | − | 0.277040i | 0.298333 | − | 0.954462i | \(-0.403569\pi\) |
0.735595 | + | 0.677422i | \(0.236903\pi\) | |||||||
\(54\) | −6.82273e6 | − | 1.18173e7i | −0.109191 | − | 0.189124i | ||||
\(55\) | 1.24223e8 | − | 1.90183e7i | 1.83050 | − | 0.280246i | ||||
\(56\) | 2.97856e7 | − | 2.74433e7i | 0.404725 | − | 0.372898i | ||||
\(57\) | 2.40975e7 | − | 2.40975e7i | 0.302368 | − | 0.302368i | ||||
\(58\) | 5.49676e6 | − | 2.05142e7i | 0.0637794 | − | 0.238028i | ||||
\(59\) | −3.15723e7 | + | 5.46849e7i | −0.339213 | + | 0.587534i | −0.984285 | − | 0.176588i | \(-0.943494\pi\) |
0.645072 | + | 0.764122i | \(0.276827\pi\) | |||||||
\(60\) | −3.51436e7 | + | 1.54301e7i | −0.350078 | + | 0.153705i | ||||
\(61\) | −2.44912e7 | + | 1.41400e7i | −0.226477 | + | 0.130757i | −0.608946 | − | 0.793212i | \(-0.708407\pi\) |
0.382468 | + | 0.923969i | \(0.375074\pi\) | |||||||
\(62\) | −3.59869e7 | − | 3.59869e7i | −0.309301 | − | 0.309301i | ||||
\(63\) | −4.79622e7 | − | 9.15240e7i | −0.383589 | − | 0.731986i | ||||
\(64\) | − | 7.23721e7i | − | 0.539214i | ||||||
\(65\) | −1.18788e8 | − | 1.31053e7i | −0.825393 | − | 0.0910621i | ||||
\(66\) | 2.95597e7 | + | 1.70663e7i | 0.191757 | + | 0.110711i | ||||
\(67\) | −1.16951e7 | − | 4.36465e7i | −0.0709032 | − | 0.264614i | 0.921370 | − | 0.388687i | \(-0.127071\pi\) |
−0.992273 | + | 0.124072i | \(0.960404\pi\) | |||||||
\(68\) | 2.12750e8 | + | 5.70061e7i | 1.20664 | + | 0.323319i | ||||
\(69\) | −9.16521e7 | −0.486768 | ||||||||
\(70\) | 5.36888e7 | − | 2.09978e7i | 0.267265 | − | 0.104528i | ||||
\(71\) | −2.78044e8 | −1.29853 | −0.649263 | − | 0.760564i | \(-0.724923\pi\) | ||||
−0.649263 | + | 0.760564i | \(0.724923\pi\) | |||||||
\(72\) | 1.00173e8 | + | 2.68412e7i | 0.439292 | + | 0.117708i | ||||
\(73\) | 5.00668e7 | + | 1.86852e8i | 0.206347 | + | 0.770096i | 0.989035 | + | 0.147682i | \(0.0471813\pi\) |
−0.782688 | + | 0.622414i | \(0.786152\pi\) | |||||||
\(74\) | 9.48128e6 | + | 5.47402e6i | 0.0367557 | + | 0.0212209i | ||||
\(75\) | −1.14067e8 | + | 4.79786e6i | −0.416281 | + | 0.0175094i | ||||
\(76\) | 2.73915e8i | 0.941791i | ||||||||
\(77\) | 4.82605e8 | + | 3.05606e8i | 1.56453 | + | 0.990725i | ||||
\(78\) | −2.29519e7 | − | 2.29519e7i | −0.0702090 | − | 0.0702090i | ||||
\(79\) | −1.28788e8 | + | 7.43557e7i | −0.372009 | + | 0.214779i | −0.674336 | − | 0.738425i | \(-0.735570\pi\) |
0.302327 | + | 0.953204i | \(0.402237\pi\) | |||||||
\(80\) | 1.01083e8 | − | 2.59322e8i | 0.275914 | − | 0.707838i | ||||
\(81\) | 9.86658e7 | − | 1.70894e8i | 0.254674 | − | 0.441108i | ||||
\(82\) | −1.29016e7 | + | 4.81496e7i | −0.0315125 | + | 0.117606i | ||||
\(83\) | −4.43112e8 | + | 4.43112e8i | −1.02485 | + | 1.02485i | −0.0251706 | + | 0.999683i | \(0.508013\pi\) |
−0.999683 | + | 0.0251706i | \(0.991987\pi\) | |||||||
\(84\) | −1.66530e8 | − | 5.20076e7i | −0.364951 | − | 0.113975i | ||||
\(85\) | 5.28039e8 | + | 3.87823e8i | 1.09719 | + | 0.805839i | ||||
\(86\) | −4.56613e7 | − | 7.90876e7i | −0.0900129 | − | 0.155907i | ||||
\(87\) | −1.84665e8 | + | 4.94809e7i | −0.345580 | + | 0.0925979i | ||||
\(88\) | −5.53777e8 | + | 1.48384e8i | −0.984380 | + | 0.263764i | ||||
\(89\) | −1.22183e8 | − | 2.11627e8i | −0.206422 | − | 0.357533i | 0.744163 | − | 0.667998i | \(-0.232849\pi\) |
−0.950585 | + | 0.310465i | \(0.899515\pi\) | |||||||
\(90\) | 1.18974e8 | + | 8.73817e7i | 0.191145 | + | 0.140388i | ||||
\(91\) | −3.68084e8 | − | 3.99500e8i | −0.562679 | − | 0.610704i | ||||
\(92\) | 5.20902e8 | − | 5.20902e8i | 0.758072 | − | 0.758072i | ||||
\(93\) | −1.18573e8 | + | 4.42521e8i | −0.164367 | + | 0.613424i | ||||
\(94\) | 2.30614e7 | − | 3.99436e7i | 0.0304657 | − | 0.0527681i | ||||
\(95\) | −2.95911e8 | + | 7.59139e8i | −0.372739 | + | 0.956236i | ||||
\(96\) | 2.30715e8 | − | 1.33204e8i | 0.277240 | − | 0.160065i | ||||
\(97\) | −2.41447e8 | − | 2.41447e8i | −0.276916 | − | 0.276916i | 0.554960 | − | 0.831877i | \(-0.312733\pi\) |
−0.831877 | + | 0.554960i | \(0.812733\pi\) | |||||||
\(98\) | 2.46722e8 | + | 8.82781e7i | 0.270203 | + | 0.0966798i | ||||
\(99\) | 1.46269e9i | 1.53036i | ||||||||
\(100\) | 6.21030e8 | − | 6.75567e8i | 0.621030 | − | 0.675567i | ||||
\(101\) | −8.23980e8 | − | 4.75725e8i | −0.787898 | − | 0.454893i | 0.0513237 | − | 0.998682i | \(-0.483656\pi\) |
−0.839222 | + | 0.543789i | \(0.816989\pi\) | |||||||
\(102\) | 4.60551e7 | + | 1.71880e8i | 0.0421286 | + | 0.157226i | ||||
\(103\) | 1.62415e9 | + | 4.35190e8i | 1.42187 | + | 0.380988i | 0.886146 | − | 0.463407i | \(-0.153373\pi\) |
0.535721 | + | 0.844395i | \(0.320040\pi\) | |||||||
\(104\) | 5.45199e8 | 0.456989 | ||||||||
\(105\) | −4.05344e8 | − | 3.24039e8i | −0.325440 | − | 0.260163i | ||||
\(106\) | −3.99275e8 | −0.307182 | ||||||||
\(107\) | −7.25044e8 | − | 1.94275e8i | −0.534734 | − | 0.143281i | −0.0186604 | − | 0.999826i | \(-0.505940\pi\) |
−0.516073 | + | 0.856544i | \(0.672607\pi\) | |||||||
\(108\) | −2.55531e8 | − | 9.53655e8i | −0.180733 | − | 0.674504i | ||||
\(109\) | −1.54734e8 | − | 8.93357e7i | −0.104995 | − | 0.0606186i | 0.446583 | − | 0.894742i | \(-0.352641\pi\) |
−0.551578 | + | 0.834123i | \(0.685974\pi\) | |||||||
\(110\) | −8.11131e8 | − | 8.94886e7i | −0.528231 | − | 0.0582774i | ||||
\(111\) | − | 9.85525e7i | − | 0.0616189i | ||||||
\(112\) | 1.12057e9 | − | 5.87225e8i | 0.672914 | − | 0.352633i | ||||
\(113\) | −6.04469e8 | − | 6.04469e8i | −0.348756 | − | 0.348756i | 0.510890 | − | 0.859646i | \(-0.329316\pi\) |
−0.859646 | + | 0.510890i | \(0.829316\pi\) | |||||||
\(114\) | −1.91647e8 | + | 1.10648e8i | −0.106275 | + | 0.0613578i | ||||
\(115\) | 2.00638e9 | − | 8.80918e8i | 1.06973 | − | 0.469672i | ||||
\(116\) | 7.68316e8 | − | 1.33076e9i | 0.393984 | − | 0.682401i | ||||
\(117\) | 3.60009e8 | − | 1.34357e9i | 0.177614 | − | 0.662864i | ||||
\(118\) | 2.89939e8 | − | 2.89939e8i | 0.137669 | − | 0.137669i | ||||
\(119\) | 6.52482e8 | + | 2.90562e9i | 0.298268 | + | 1.32824i | ||||
\(120\) | 5.14839e8 | − | 7.88207e7i | 0.226650 | − | 0.0346996i | ||||
\(121\) | −2.86406e9 | − | 4.96070e9i | −1.21464 | − | 2.10382i | ||||
\(122\) | 1.77381e8 | − | 4.75291e7i | 0.0724916 | − | 0.0194241i | ||||
\(123\) | 4.33435e8 | − | 1.16139e8i | 0.170746 | − | 0.0457513i | ||||
\(124\) | −1.84115e9 | − | 3.18896e9i | −0.699345 | − | 1.21130i | ||||
\(125\) | 2.45097e9 | − | 1.20139e9i | 0.897929 | − | 0.440140i | ||||
\(126\) | 1.47013e8 | + | 6.54676e8i | 0.0519623 | + | 0.231398i | ||||
\(127\) | −1.67878e9 | + | 1.67878e9i | −0.572635 | + | 0.572635i | −0.932864 | − | 0.360229i | \(-0.882699\pi\) |
0.360229 | + | 0.932864i | \(0.382699\pi\) | |||||||
\(128\) | −7.25577e8 | + | 2.70789e9i | −0.238912 | + | 0.891633i | ||||
\(129\) | −4.11035e8 | + | 7.11934e8i | −0.130685 | + | 0.226353i | ||||
\(130\) | 7.23048e8 | + | 2.81843e8i | 0.222035 | + | 0.0865489i | ||||
\(131\) | 1.07942e9 | − | 6.23201e8i | 0.320234 | − | 0.184887i | −0.331263 | − | 0.943539i | \(-0.607475\pi\) |
0.651497 | + | 0.758651i | \(0.274141\pi\) | |||||||
\(132\) | 1.74628e9 | + | 1.74628e9i | 0.500646 | + | 0.500646i | ||||
\(133\) | −3.28037e9 | + | 1.71904e9i | −0.909056 | + | 0.476381i | ||||
\(134\) | 2.93420e8i | 0.0786174i | ||||||||
\(135\) | 3.22046e8 | − | 2.91905e9i | 0.0834480 | − | 0.756379i | ||||
\(136\) | −2.58842e9 | − | 1.49442e9i | −0.648797 | − | 0.374583i | ||||
\(137\) | 1.55076e9 | + | 5.78750e9i | 0.376098 | + | 1.40362i | 0.851734 | + | 0.523975i | \(0.175551\pi\) |
−0.475636 | + | 0.879642i | \(0.657782\pi\) | |||||||
\(138\) | 5.74872e8 | + | 1.54036e8i | 0.134932 | + | 0.0361549i | ||||
\(139\) | −5.13206e9 | −1.16607 | −0.583036 | − | 0.812446i | \(-0.698135\pi\) | ||||
−0.583036 | + | 0.812446i | \(0.698135\pi\) | |||||||
\(140\) | 4.14542e9 | − | 4.62094e8i | 0.911995 | − | 0.101661i | ||||
\(141\) | −4.15191e8 | −0.0884629 | ||||||||
\(142\) | 1.74398e9 | + | 4.67298e8i | 0.359952 | + | 0.0964487i | ||||
\(143\) | 1.99021e9 | + | 7.42755e9i | 0.398003 | + | 1.48537i | ||||
\(144\) | 2.80546e9 | + | 1.61973e9i | 0.543716 | + | 0.313915i | ||||
\(145\) | 3.56697e9 | − | 2.85812e9i | 0.670105 | − | 0.536938i | ||||
\(146\) | − | 1.25614e9i | − | 0.228797i | ||||||
\(147\) | −4.22275e8 | − | 2.32073e9i | −0.0745877 | − | 0.409918i | ||||
\(148\) | 5.60120e8 | + | 5.60120e8i | 0.0959628 | + | 0.0959628i | ||||
\(149\) | −5.87833e9 | + | 3.39385e9i | −0.977047 | + | 0.564099i | −0.901377 | − | 0.433034i | \(-0.857443\pi\) |
−0.0756699 | + | 0.997133i | \(0.524110\pi\) | |||||||
\(150\) | 7.23531e8 | + | 1.61615e8i | 0.116693 | + | 0.0260658i | ||||
\(151\) | −5.45111e9 | + | 9.44160e9i | −0.853274 | + | 1.47791i | 0.0249632 | + | 0.999688i | \(0.492053\pi\) |
−0.878237 | + | 0.478225i | \(0.841280\pi\) | |||||||
\(152\) | 9.62033e8 | − | 3.59036e9i | 0.146182 | − | 0.545559i | ||||
\(153\) | −5.39200e9 | + | 5.39200e9i | −0.795497 | + | 0.795497i | ||||
\(154\) | −2.51343e9 | − | 2.72795e9i | −0.360101 | − | 0.390835i | ||||
\(155\) | −1.65759e9 | − | 1.08270e10i | −0.230667 | − | 1.50666i | ||||
\(156\) | −1.17426e9 | − | 2.03387e9i | −0.158746 | − | 0.274956i | ||||
\(157\) | −8.07380e8 | + | 2.16337e8i | −0.106055 | + | 0.0284172i | −0.311456 | − | 0.950261i | \(-0.600817\pi\) |
0.205401 | + | 0.978678i | \(0.434150\pi\) | |||||||
\(158\) | 9.32766e8 | − | 2.49934e8i | 0.119074 | − | 0.0319057i | ||||
\(159\) | 1.79711e9 | + | 3.11268e9i | 0.222991 | + | 0.386231i | ||||
\(160\) | −3.77036e9 | + | 5.13352e9i | −0.454823 | + | 0.619264i | ||||
\(161\) | 9.50735e9 | + | 2.96917e9i | 1.11518 | + | 0.348272i | ||||
\(162\) | −9.06079e8 | + | 9.06079e8i | −0.103359 | + | 0.103359i | ||||
\(163\) | 8.17087e8 | − | 3.04941e9i | 0.0906617 | − | 0.338354i | −0.905664 | − | 0.423996i | \(-0.860627\pi\) |
0.996326 | + | 0.0856413i | \(0.0272939\pi\) | |||||||
\(164\) | −1.80334e9 | + | 3.12348e9i | −0.194662 | + | 0.337164i | ||||
\(165\) | 2.95320e9 | + | 6.72621e9i | 0.310181 | + | 0.706469i | ||||
\(166\) | 3.52406e9 | − | 2.03462e9i | 0.360211 | − | 0.207968i | ||||
\(167\) | 1.08077e10 | + | 1.08077e10i | 1.07525 | + | 1.07525i | 0.996928 | + | 0.0783248i | \(0.0249571\pi\) |
0.0783248 | + | 0.996928i | \(0.475043\pi\) | |||||||
\(168\) | 2.00014e9 | + | 1.26657e9i | 0.193717 | + | 0.122670i | ||||
\(169\) | 3.29199e9i | 0.310433i | ||||||||
\(170\) | −2.66023e9 | − | 3.32001e9i | −0.244286 | − | 0.304873i | ||||
\(171\) | −8.21270e9 | − | 4.74160e9i | −0.734520 | − | 0.424075i | ||||
\(172\) | −1.71015e9 | − | 6.38236e9i | −0.148989 | − | 0.556036i | ||||
\(173\) | 2.85723e8 | + | 7.65592e7i | 0.0242514 | + | 0.00649815i | 0.270924 | − | 0.962601i | \(-0.412671\pi\) |
−0.246673 | + | 0.969099i | \(0.579337\pi\) | |||||||
\(174\) | 1.24144e9 | 0.102673 | ||||||||
\(175\) | 1.19880e10 | + | 3.19764e9i | 0.966218 | + | 0.257726i | ||||
\(176\) | −1.79084e10 | −1.40686 | ||||||||
\(177\) | −3.56530e9 | − | 9.55319e8i | −0.273034 | − | 0.0731592i | ||||
\(178\) | 4.10697e8 | + | 1.53274e9i | 0.0306642 | + | 0.114440i | ||||
\(179\) | −4.63733e9 | − | 2.67737e9i | −0.337621 | − | 0.194926i | 0.321598 | − | 0.946876i | \(-0.395780\pi\) |
−0.659220 | + | 0.751950i | \(0.729113\pi\) | |||||||
\(180\) | 6.67854e9 | + | 8.33491e9i | 0.474193 | + | 0.591799i | ||||
\(181\) | − | 2.38648e10i | − | 1.65274i | −0.563128 | − | 0.826370i | \(-0.690402\pi\) | ||
0.563128 | − | 0.826370i | \(-0.309598\pi\) | |||||||
\(182\) | 1.63732e9 | + | 3.12442e9i | 0.110614 | + | 0.211080i | ||||
\(183\) | −1.16890e9 | − | 1.16890e9i | −0.0770459 | − | 0.0770459i | ||||
\(184\) | −8.65725e9 | + | 4.99827e9i | −0.556801 | + | 0.321469i | ||||
\(185\) | 9.47240e8 | + | 2.15744e9i | 0.0594549 | + | 0.135415i | ||||
\(186\) | 1.48746e9 | − | 2.57635e9i | 0.0911248 | − | 0.157833i | ||||
\(187\) | 1.09105e10 | − | 4.07187e10i | 0.652467 | − | 2.43504i | ||||
\(188\) | 2.35972e9 | − | 2.35972e9i | 0.137769 | − | 0.137769i | ||||
\(189\) | 9.81719e9 | − | 9.04519e9i | 0.559640 | − | 0.515631i | ||||
\(190\) | 3.13190e9 | − | 4.26424e9i | 0.174348 | − | 0.237383i | ||||
\(191\) | −1.39276e10 | − | 2.41233e10i | −0.757227 | − | 1.31156i | −0.944259 | − | 0.329202i | \(-0.893220\pi\) |
0.187032 | − | 0.982354i | \(-0.440113\pi\) | |||||||
\(192\) | 4.08630e9 | − | 1.09492e9i | 0.217008 | − | 0.0581470i | ||||
\(193\) | −1.37773e10 | + | 3.69162e9i | −0.714755 | + | 0.191518i | −0.597830 | − | 0.801623i | \(-0.703970\pi\) |
−0.116925 | + | 0.993141i | \(0.537304\pi\) | |||||||
\(194\) | 1.10864e9 | + | 1.92022e9i | 0.0561931 | + | 0.0973293i | ||||
\(195\) | −1.05719e9 | − | 6.90530e9i | −0.0523595 | − | 0.342001i | ||||
\(196\) | 1.55898e10 | + | 1.07898e10i | 0.754550 | + | 0.522230i | ||||
\(197\) | −2.40693e10 | + | 2.40693e10i | −1.13858 | + | 1.13858i | −0.149878 | + | 0.988704i | \(0.547888\pi\) |
−0.988704 | + | 0.149878i | \(0.952112\pi\) | |||||||
\(198\) | 2.45829e9 | − | 9.17446e9i | 0.113668 | − | 0.424216i | ||||
\(199\) | 4.43889e9 | − | 7.68839e9i | 0.200649 | − | 0.347533i | −0.748089 | − | 0.663598i | \(-0.769028\pi\) |
0.948738 | + | 0.316065i | \(0.102362\pi\) | |||||||
\(200\) | −1.05129e10 | + | 6.67388e9i | −0.464609 | + | 0.294947i | ||||
\(201\) | 2.28745e9 | − | 1.32066e9i | 0.0988485 | − | 0.0570702i | ||||
\(202\) | 4.36873e9 | + | 4.36873e9i | 0.184618 | + | 0.184618i | ||||
\(203\) | 2.07589e10 | + | 8.49624e8i | 0.857969 | + | 0.0351152i | ||||
\(204\) | 1.28748e10i | 0.520481i | ||||||||
\(205\) | −8.37216e9 | + | 6.70839e9i | −0.331089 | + | 0.265293i | ||||
\(206\) | −9.45579e9 | − | 5.45930e9i | −0.365843 | − | 0.211220i | ||||
\(207\) | 6.60096e9 | + | 2.46351e10i | 0.249885 | + | 0.932584i | ||||
\(208\) | 1.64500e10 | + | 4.40777e9i | 0.609370 | + | 0.163280i | ||||
\(209\) | 5.24252e10 | 1.90056 | ||||||||
\(210\) | 1.99784e9 | + | 2.71372e9i | 0.0708884 | + | 0.0962893i | ||||
\(211\) | 2.30423e10 | 0.800302 | 0.400151 | − | 0.916449i | \(-0.368958\pi\) | ||||
0.400151 | + | 0.916449i | \(0.368958\pi\) | |||||||
\(212\) | −2.79046e10 | − | 7.47701e9i | −0.948777 | − | 0.254224i | ||||
\(213\) | −4.20654e9 | − | 1.56990e10i | −0.140029 | − | 0.522594i | ||||
\(214\) | 4.22120e9 | + | 2.43711e9i | 0.137586 | + | 0.0794353i | ||||
\(215\) | 2.15530e9 | − | 1.95358e10i | 0.0687915 | − | 0.623531i | ||||
\(216\) | 1.33976e10i | 0.418778i | ||||||||
\(217\) | 2.66359e10 | − | 4.20628e10i | 0.815452 | − | 1.28774i | ||||
\(218\) | 8.20398e8 | + | 8.20398e8i | 0.0246020 | + | 0.0246020i | ||||
\(219\) | −9.79265e9 | + | 5.65379e9i | −0.287675 | + | 0.166089i | ||||
\(220\) | −5.50126e10 | − | 2.14438e10i | −1.58329 | − | 0.617163i | ||||
\(221\) | −2.00440e10 | + | 3.47172e10i | −0.565222 | + | 0.978993i | ||||
\(222\) | −1.65633e8 | + | 6.18153e8i | −0.00457678 | + | 0.0170808i | ||||
\(223\) | −3.11011e10 | + | 3.11011e10i | −0.842179 | + | 0.842179i | −0.989142 | − | 0.146963i | \(-0.953050\pi\) |
0.146963 | + | 0.989142i | \(0.453050\pi\) | |||||||
\(224\) | −2.82481e10 | + | 6.34334e9i | −0.749674 | + | 0.168346i | ||||
\(225\) | 9.50496e9 | + | 3.03146e10i | 0.247246 | + | 0.788551i | ||||
\(226\) | 2.77552e9 | + | 4.80733e9i | 0.0707711 | + | 0.122579i | ||||
\(227\) | 2.56966e10 | − | 6.88539e9i | 0.642332 | − | 0.172112i | 0.0770725 | − | 0.997025i | \(-0.475443\pi\) |
0.565259 | + | 0.824913i | \(0.308776\pi\) | |||||||
\(228\) | −1.54659e10 | + | 4.14407e9i | −0.379025 | + | 0.101559i | ||||
\(229\) | −3.09771e10 | − | 5.36539e10i | −0.744356 | − | 1.28926i | −0.950495 | − | 0.310740i | \(-0.899423\pi\) |
0.206139 | − | 0.978523i | \(-0.433910\pi\) | |||||||
\(230\) | −1.40652e10 | + | 2.15335e9i | −0.331414 | + | 0.0507387i | ||||
\(231\) | −9.95387e9 | + | 3.18725e10i | −0.230005 | + | 0.736483i | ||||
\(232\) | −1.47446e10 | + | 1.47446e10i | −0.334147 | + | 0.334147i | ||||
\(233\) | 6.68212e9 | − | 2.49380e10i | 0.148529 | − | 0.554319i | −0.851044 | − | 0.525095i | \(-0.824030\pi\) |
0.999573 | − | 0.0292240i | \(-0.00930361\pi\) | |||||||
\(234\) | −4.51618e9 | + | 7.82225e9i | −0.0984691 | + | 0.170553i | ||||
\(235\) | 9.08904e9 | − | 3.99062e9i | 0.194407 | − | 0.0853561i | ||||
\(236\) | 2.56928e10 | − | 1.48337e10i | 0.539147 | − | 0.311277i | ||||
\(237\) | −6.14674e9 | − | 6.14674e9i | −0.126554 | − | 0.126554i | ||||
\(238\) | 7.90799e8 | − | 1.93216e10i | 0.0159761 | − | 0.390344i | ||||
\(239\) | − | 1.20764e10i | − | 0.239412i | −0.992809 | − | 0.119706i | \(-0.961805\pi\) | ||
0.992809 | − | 0.119706i | \(-0.0381952\pi\) | |||||||
\(240\) | 1.61712e10 | + | 1.78410e9i | 0.314624 | + | 0.0347111i | ||||
\(241\) | 5.71490e10 | + | 3.29950e10i | 1.09127 | + | 0.630044i | 0.933914 | − | 0.357498i | \(-0.116370\pi\) |
0.157355 | + | 0.987542i | \(0.449703\pi\) | |||||||
\(242\) | 9.62704e9 | + | 3.59286e10i | 0.180436 | + | 0.673397i | ||||
\(243\) | 5.10938e10 | + | 1.36906e10i | 0.940027 | + | 0.251879i | ||||
\(244\) | 1.32869e10 | 0.239976 | ||||||||
\(245\) | 3.15499e10 | + | 4.67450e10i | 0.559437 | + | 0.828873i | ||||
\(246\) | −2.91383e9 | −0.0507290 | ||||||||
\(247\) | −4.81558e10 | − | 1.29033e10i | −0.823213 | − | 0.220579i | ||||
\(248\) | 1.29328e10 | + | 4.82660e10i | 0.217101 | + | 0.810230i | ||||
\(249\) | −3.17230e10 | − | 1.83153e10i | −0.522971 | − | 0.301937i | ||||
\(250\) | −1.73924e10 | + | 3.41628e9i | −0.281598 | + | 0.0553126i | ||||
\(251\) | 7.86729e10i | 1.25110i | 0.780183 | + | 0.625552i | \(0.215126\pi\) | ||||
−0.780183 | + | 0.625552i | \(0.784874\pi\) | |||||||
\(252\) | −1.98531e9 | + | 4.85071e10i | −0.0310117 | + | 0.757710i | ||||
\(253\) | −9.96967e10 | − | 9.96967e10i | −1.52981 | − | 1.52981i | ||||
\(254\) | 1.33513e10 | − | 7.70840e9i | 0.201267 | − | 0.116202i | ||||
\(255\) | −1.39087e10 | + | 3.56818e10i | −0.205994 | + | 0.528464i | ||||
\(256\) | −9.42516e9 | + | 1.63249e10i | −0.137154 | + | 0.237558i | ||||
\(257\) | −1.23835e10 | + | 4.62160e10i | −0.177070 | + | 0.660835i | 0.819119 | + | 0.573623i | \(0.194463\pi\) |
−0.996190 | + | 0.0872124i | \(0.972204\pi\) | |||||||
\(258\) | 3.77467e9 | − | 3.77467e9i | 0.0530383 | − | 0.0530383i | ||||
\(259\) | −3.19271e9 | + | 1.02231e10i | −0.0440870 | + | 0.141168i | ||||
\(260\) | 4.52546e10 | + | 3.32376e10i | 0.614161 | + | 0.451076i | ||||
\(261\) | 2.65999e10 | + | 4.60723e10i | 0.354811 | + | 0.614551i | ||||
\(262\) | −7.81783e9 | + | 2.09478e9i | −0.102502 | + | 0.0274652i | ||||
\(263\) | 1.14245e11 | − | 3.06118e10i | 1.47243 | − | 0.394538i | 0.568670 | − | 0.822566i | \(-0.307458\pi\) |
0.903765 | + | 0.428028i | \(0.140792\pi\) | |||||||
\(264\) | −1.67562e10 | − | 2.90227e10i | −0.212304 | − | 0.367722i | ||||
\(265\) | −6.92585e10 | − | 5.08675e10i | −0.862714 | − | 0.633627i | ||||
\(266\) | 2.34647e10 | − | 5.26919e9i | 0.287374 | − | 0.0645321i | ||||
\(267\) | 1.01005e10 | − | 1.01005e10i | 0.121630 | − | 0.121630i | ||||
\(268\) | −5.49473e9 | + | 2.05066e10i | −0.0650638 | + | 0.242821i | ||||
\(269\) | 6.61492e9 | − | 1.14574e10i | 0.0770263 | − | 0.133414i | −0.824939 | − | 0.565221i | \(-0.808791\pi\) |
0.901966 | + | 0.431808i | \(0.142124\pi\) | |||||||
\(270\) | −6.92592e9 | + | 1.77680e10i | −0.0793123 | + | 0.203470i | ||||
\(271\) | 3.16240e10 | − | 1.82581e10i | 0.356168 | − | 0.205634i | −0.311230 | − | 0.950335i | \(-0.600741\pi\) |
0.667399 | + | 0.744701i | \(0.267408\pi\) | |||||||
\(272\) | −6.60169e10 | − | 6.60169e10i | −0.731299 | − | 0.731299i | ||||
\(273\) | 1.69880e10 | − | 2.68270e10i | 0.185101 | − | 0.292307i | ||||
\(274\) | − | 3.89074e10i | − | 0.417018i | ||||||
\(275\) | −1.29298e11 | − | 1.18860e11i | −1.36332 | − | 1.25326i | ||||
\(276\) | 3.72921e10 | + | 2.15306e10i | 0.386835 | + | 0.223340i | ||||
\(277\) | −3.00342e9 | − | 1.12089e10i | −0.0306519 | − | 0.114394i | 0.948905 | − | 0.315562i | \(-0.102193\pi\) |
−0.979557 | + | 0.201168i | \(0.935526\pi\) | |||||||
\(278\) | 3.21900e10 | + | 8.62527e9i | 0.323235 | + | 0.0866106i | ||||
\(279\) | 1.27485e11 | 1.25962 | ||||||||
\(280\) | −5.59593e10 | − | 8.50246e9i | −0.544078 | − | 0.0826672i | ||||
\(281\) | −6.83073e9 | −0.0653565 | −0.0326782 | − | 0.999466i | \(-0.510404\pi\) | ||||
−0.0326782 | + | 0.999466i | \(0.510404\pi\) | |||||||
\(282\) | 2.60421e9 | + | 6.97795e8i | 0.0245219 | + | 0.00657063i | ||||
\(283\) | −3.08835e10 | − | 1.15259e11i | −0.286212 | − | 1.06816i | −0.947949 | − | 0.318421i | \(-0.896847\pi\) |
0.661738 | − | 0.749735i | \(-0.269819\pi\) | |||||||
\(284\) | 1.13133e11 | + | 6.53172e10i | 1.03194 | + | 0.595792i | ||||
\(285\) | −4.73397e10 | − | 5.22278e9i | −0.425034 | − | 0.0468921i | ||||
\(286\) | − | 4.99329e10i | − | 0.441305i | ||||||
\(287\) | −4.87239e10 | − | 1.99418e9i | −0.423910 | − | 0.0173499i | ||||
\(288\) | −5.24203e10 | − | 5.24203e10i | −0.448986 | − | 0.448986i | ||||
\(289\) | 8.76236e10 | − | 5.05895e10i | 0.738891 | − | 0.426599i | ||||
\(290\) | −2.71767e10 | + | 1.19321e10i | −0.225635 | + | 0.0990667i | ||||
\(291\) | 9.97980e9 | − | 1.72855e10i | 0.0815837 | − | 0.141307i | ||||
\(292\) | 2.35231e10 | − | 8.77893e10i | 0.189353 | − | 0.706674i | ||||
\(293\) | −1.00166e11 | + | 1.00166e11i | −0.793991 | + | 0.793991i | −0.982140 | − | 0.188149i | \(-0.939751\pi\) |
0.188149 | + | 0.982140i | \(0.439751\pi\) | |||||||
\(294\) | −1.25172e9 | + | 1.52661e10i | −0.00977115 | + | 0.119169i | ||||
\(295\) | 8.72310e10 | − | 1.33549e10i | 0.670613 | − | 0.102669i | ||||
\(296\) | −5.37457e9 | − | 9.30904e9i | −0.0406941 | − | 0.0704842i | ||||
\(297\) | −1.82522e11 | + | 4.89067e10i | −1.36117 | + | 0.364724i | ||||
\(298\) | 4.25747e10 | − | 1.14079e10i | 0.312736 | − | 0.0837974i | ||||
\(299\) | 6.70394e10 | + | 1.16116e11i | 0.485076 | + | 0.840177i | ||||
\(300\) | 4.75397e10 | + | 2.48442e10i | 0.338853 | + | 0.177084i | ||||
\(301\) | 6.57018e10 | − | 6.05351e10i | 0.461347 | − | 0.425068i | ||||
\(302\) | 5.00592e10 | − | 5.00592e10i | 0.346300 | − | 0.346300i | ||||
\(303\) | 1.43945e10 | − | 5.37211e10i | 0.0981083 | − | 0.366145i | ||||
\(304\) | 5.80538e10 | − | 1.00552e11i | 0.389852 | − | 0.675243i | ||||
\(305\) | 3.68238e10 | + | 1.43538e10i | 0.243657 | + | 0.0949770i | ||||
\(306\) | 4.28825e10 | − | 2.47582e10i | 0.279598 | − | 0.161426i | ||||
\(307\) | −8.10579e9 | − | 8.10579e9i | −0.0520802 | − | 0.0520802i | 0.680587 | − | 0.732667i | \(-0.261725\pi\) |
−0.732667 | + | 0.680587i | \(0.761725\pi\) | |||||||
\(308\) | −1.24574e11 | − | 2.37719e11i | −0.788768 | − | 1.50517i | ||||
\(309\) | 9.82875e10i | 0.613317i | ||||||||
\(310\) | −7.79963e9 | + | 7.06964e10i | −0.0479674 | + | 0.434780i | ||||
\(311\) | −5.74237e9 | − | 3.31536e9i | −0.0348073 | − | 0.0200960i | 0.482495 | − | 0.875899i | \(-0.339731\pi\) |
−0.517303 | + | 0.855803i | \(0.673064\pi\) | |||||||
\(312\) | 8.24835e9 | + | 3.07833e10i | 0.0492801 | + | 0.183916i | ||||
\(313\) | −4.91256e10 | − | 1.31632e10i | −0.289307 | − | 0.0775195i | 0.111247 | − | 0.993793i | \(-0.464516\pi\) |
−0.400554 | + | 0.916273i | \(0.631182\pi\) | |||||||
\(314\) | 5.42773e9 | 0.0315090 | ||||||||
\(315\) | −5.79045e10 | + | 1.32290e11i | −0.331371 | + | 0.757058i | ||||
\(316\) | 6.98696e10 | 0.394182 | ||||||||
\(317\) | 1.50628e11 | + | 4.03608e10i | 0.837800 | + | 0.224488i | 0.652114 | − | 0.758121i | \(-0.273883\pi\) |
0.185686 | + | 0.982609i | \(0.440549\pi\) | |||||||
\(318\) | −6.04066e9 | − | 2.25440e10i | −0.0331255 | − | 0.123626i | ||||
\(319\) | −2.54698e11 | − | 1.47050e11i | −1.37711 | − | 0.795072i | ||||
\(320\) | −7.89305e10 | + | 6.32449e10i | −0.420794 | + | 0.337171i | ||||
\(321\) | − | 4.38769e10i | − | 0.230655i | ||||||
\(322\) | −5.46430e10 | − | 3.46022e10i | −0.283258 | − | 0.179371i | ||||
\(323\) | 1.93258e11 | + | 1.93258e11i | 0.987930 | + | 0.987930i | ||||
\(324\) | −8.02918e10 | + | 4.63565e10i | −0.404780 | + | 0.233700i | ||||
\(325\) | 8.95137e10 | + | 1.41005e11i | 0.445056 | + | 0.701065i | ||||
\(326\) | −1.02501e10 | + | 1.77536e10i | −0.0502629 | + | 0.0870578i | ||||
\(327\) | 2.70313e9 | − | 1.00882e10i | 0.0130738 | − | 0.0487921i | ||||
\(328\) | 3.46076e10 | − | 3.46076e10i | 0.165097 | − | 0.165097i | ||||
\(329\) | 4.30689e10 | + | 1.34505e10i | 0.202667 | + | 0.0632933i | ||||
\(330\) | −7.21891e9 | − | 4.71523e10i | −0.0335088 | − | 0.218872i | ||||
\(331\) | 8.82408e10 | + | 1.52838e11i | 0.404058 | + | 0.699848i | 0.994211 | − | 0.107443i | \(-0.0342662\pi\) |
−0.590154 | + | 0.807291i | \(0.700933\pi\) | |||||||
\(332\) | 2.84391e11 | − | 7.62024e10i | 1.28468 | − | 0.344229i | ||||
\(333\) | −2.64898e10 | + | 7.09793e9i | −0.118054 | + | 0.0316324i | ||||
\(334\) | −4.96254e10 | − | 8.59537e10i | −0.218195 | − | 0.377925i | ||||
\(335\) | −3.73816e10 | + | 5.08969e10i | −0.162165 | + | 0.220795i | ||||
\(336\) | 5.01093e10 | + | 5.43862e10i | 0.214483 | + | 0.232789i | ||||
\(337\) | −2.86251e11 | + | 2.86251e11i | −1.20896 | + | 1.20896i | −0.237595 | + | 0.971364i | \(0.576359\pi\) |
−0.971364 | + | 0.237595i | \(0.923641\pi\) | |||||||
\(338\) | 5.53273e9 | − | 2.06484e10i | 0.0230576 | − | 0.0860521i | ||||
\(339\) | 2.49847e10 | − | 4.32748e10i | 0.102749 | − | 0.177966i | ||||
\(340\) | −1.23747e11 | − | 2.81846e11i | −0.502202 | − | 1.14382i | ||||
\(341\) | −6.10343e11 | + | 3.52382e11i | −2.44444 | + | 1.41130i | ||||
\(342\) | 4.35436e10 | + | 4.35436e10i | 0.172110 | + | 0.172110i | ||||
\(343\) | −3.13787e10 | + | 2.54416e11i | −0.122408 | + | 0.992480i | ||||
\(344\) | 8.96635e10i | 0.345225i | ||||||||
\(345\) | 8.00934e10 | + | 9.99576e10i | 0.304376 | + | 0.379866i | ||||
\(346\) | −1.66347e9 | − | 9.60407e8i | −0.00623984 | − | 0.00360257i | ||||
\(347\) | −1.17798e11 | − | 4.39629e11i | −0.436170 | − | 1.62781i | −0.738251 | − | 0.674527i | \(-0.764348\pi\) |
0.302080 | − | 0.953282i | \(-0.402319\pi\) | |||||||
\(348\) | 8.67619e10 | + | 2.32478e10i | 0.317119 | + | 0.0849718i | ||||
\(349\) | −8.78400e10 | −0.316941 | −0.158470 | − | 0.987364i | \(-0.550656\pi\) | ||||
−0.158470 | + | 0.987364i | \(0.550656\pi\) | |||||||
\(350\) | −6.98184e10 | − | 4.02044e10i | −0.248693 | − | 0.143208i | ||||
\(351\) | 1.79695e11 | 0.631910 | ||||||||
\(352\) | 3.95861e11 | + | 1.06071e11i | 1.37436 | + | 0.368259i | ||||
\(353\) | −1.49320e10 | − | 5.57270e10i | −0.0511838 | − | 0.191020i | 0.935600 | − | 0.353061i | \(-0.114859\pi\) |
−0.986784 | + | 0.162040i | \(0.948192\pi\) | |||||||
\(354\) | 2.07571e10 | + | 1.19841e10i | 0.0702510 | + | 0.0405594i | ||||
\(355\) | 2.42978e11 | + | 3.03240e11i | 0.811970 | + | 1.01335i | ||||
\(356\) | 1.14811e11i | 0.378843i | ||||||||
\(357\) | −1.54187e11 | + | 8.08001e10i | −0.502390 | + | 0.263272i | ||||
\(358\) | 2.45871e10 | + | 2.45871e10i | 0.0791104 | + | 0.0791104i | ||||
\(359\) | −1.66527e11 | + | 9.61446e10i | −0.529128 | + | 0.305492i | −0.740661 | − | 0.671879i | \(-0.765488\pi\) |
0.211534 | + | 0.977371i | \(0.432154\pi\) | |||||||
\(360\) | −5.82659e10 | − | 1.32706e11i | −0.182832 | − | 0.416419i | ||||
\(361\) | −8.60305e9 | + | 1.49009e10i | −0.0266606 | + | 0.0461775i | ||||
\(362\) | −4.01087e10 | + | 1.49688e11i | −0.122758 | + | 0.458139i | ||||
\(363\) | 2.36762e11 | − | 2.36762e11i | 0.715703 | − | 0.715703i | ||||
\(364\) | 5.59197e10 | + | 2.49021e11i | 0.166958 | + | 0.743497i | ||||
\(365\) | 1.60032e11 | − | 2.17891e11i | 0.471942 | − | 0.642571i | ||||
\(366\) | 5.36721e9 | + | 9.29628e9i | 0.0156345 | + | 0.0270797i | ||||
\(367\) | 3.14651e9 | − | 8.43105e8i | 0.00905382 | − | 0.00242596i | −0.254289 | − | 0.967128i | \(-0.581842\pi\) |
0.263343 | + | 0.964702i | \(0.415175\pi\) | |||||||
\(368\) | −3.01620e11 | + | 8.08188e10i | −0.857324 | + | 0.229719i | ||||
\(369\) | −6.24336e10 | − | 1.08138e11i | −0.175307 | − | 0.303641i | ||||
\(370\) | −2.31547e9 | − | 1.51241e10i | −0.00642290 | − | 0.0419530i | ||||
\(371\) | −8.55806e10 | − | 3.81106e11i | −0.234527 | − | 1.04439i | ||||
\(372\) | 1.52202e11 | − | 1.52202e11i | 0.412075 | − | 0.412075i | ||||
\(373\) | −1.65534e11 | + | 6.17782e11i | −0.442790 | + | 1.65251i | 0.278916 | + | 0.960315i | \(0.410025\pi\) |
−0.721706 | + | 0.692200i | \(0.756642\pi\) | |||||||
\(374\) | −1.36869e11 | + | 2.37064e11i | −0.361728 | + | 0.626531i | ||||
\(375\) | 1.04914e11 | + | 1.20211e11i | 0.273965 | + | 0.313910i | ||||
\(376\) | −3.92179e10 | + | 2.26425e10i | −0.101190 | + | 0.0584223i | ||||
\(377\) | 1.97763e11 | + | 1.97763e11i | 0.504206 | + | 0.504206i | ||||
\(378\) | −7.67785e10 | + | 4.02349e10i | −0.193431 | + | 0.101365i | ||||
\(379\) | − | 6.26332e11i | − | 1.55929i | −0.626219 | − | 0.779647i | \(-0.715399\pi\) | ||
0.626219 | − | 0.779647i | \(-0.284601\pi\) | |||||||
\(380\) | 2.98737e11 | − | 2.39370e11i | 0.734958 | − | 0.588902i | ||||
\(381\) | −1.20187e11 | − | 6.93897e10i | −0.292209 | − | 0.168707i | ||||
\(382\) | 4.68152e10 | + | 1.74717e11i | 0.112487 | + | 0.419807i | ||||
\(383\) | −6.64395e10 | − | 1.78024e10i | −0.157773 | − | 0.0422751i | 0.179068 | − | 0.983837i | \(-0.442692\pi\) |
−0.336841 | + | 0.941562i | \(0.609358\pi\) | |||||||
\(384\) | −1.63871e11 | −0.384603 | ||||||||
\(385\) | −8.84413e10 | − | 7.93402e11i | −0.205155 | − | 1.84043i | ||||
\(386\) | 9.26202e10 | 0.212355 | ||||||||
\(387\) | 2.20964e11 | + | 5.92071e10i | 0.500751 | + | 0.134176i | ||||
\(388\) | 4.15218e10 | + | 1.54962e11i | 0.0930109 | + | 0.347121i | ||||
\(389\) | 1.56904e10 | + | 9.05888e9i | 0.0347426 | + | 0.0200586i | 0.517271 | − | 0.855822i | \(-0.326948\pi\) |
−0.482528 | + | 0.875880i | \(0.660281\pi\) | |||||||
\(390\) | −4.97448e9 | + | 4.50891e10i | −0.0108882 | + | 0.0986916i | ||||
\(391\) | − | 7.35035e11i | − | 1.59042i | ||||||
\(392\) | −1.66449e11 | − | 1.96182e11i | −0.356035 | − | 0.419635i | ||||
\(393\) | 5.15180e10 | + | 5.15180e10i | 0.108941 | + | 0.108941i | ||||
\(394\) | 1.91422e11 | − | 1.10518e11i | 0.400184 | − | 0.231046i | ||||
\(395\) | 1.93640e11 | + | 7.54803e10i | 0.400228 | + | 0.156008i | ||||
\(396\) | 3.43610e11 | − | 5.95151e11i | 0.702163 | − | 1.21618i | ||||
\(397\) | −6.92405e10 | + | 2.58409e11i | −0.139895 | + | 0.522096i | 0.860034 | + | 0.510236i | \(0.170442\pi\) |
−0.999930 | + | 0.0118601i | \(0.996225\pi\) | |||||||
\(398\) | −4.07638e10 | + | 4.07638e10i | −0.0814330 | + | 0.0814330i | ||||
\(399\) | −1.46690e11 | − | 1.59210e11i | −0.289750 | − | 0.314480i | ||||
\(400\) | −3.71156e11 | + | 1.16374e11i | −0.724915 | + | 0.227293i | ||||
\(401\) | −9.05200e10 | − | 1.56785e11i | −0.174821 | − | 0.302800i | 0.765278 | − | 0.643700i | \(-0.222602\pi\) |
−0.940099 | + | 0.340900i | \(0.889268\pi\) | |||||||
\(402\) | −1.65672e10 | + | 4.43917e9i | −0.0316397 | + | 0.00847784i | ||||
\(403\) | 6.47369e11 | − | 1.73462e11i | 1.22259 | − | 0.327591i | ||||
\(404\) | 2.23511e11 | + | 3.87133e11i | 0.417430 | + | 0.723010i | ||||
\(405\) | −2.72603e11 | + | 4.17349e10i | −0.503481 | + | 0.0770818i | ||||
\(406\) | −1.28778e11 | − | 4.02178e10i | −0.235221 | − | 0.0734600i | ||||
\(407\) | 1.07203e11 | − | 1.07203e11i | 0.193656 | − | 0.193656i | ||||
\(408\) | 4.52184e10 | − | 1.68757e11i | 0.0807875 | − | 0.301503i | ||||
\(409\) | −1.96145e11 | + | 3.39733e11i | −0.346595 | + | 0.600320i | −0.985642 | − | 0.168847i | \(-0.945996\pi\) |
0.639047 | + | 0.769168i | \(0.279329\pi\) | |||||||
\(410\) | 6.37874e10 | − | 2.80064e10i | 0.111483 | − | 0.0489474i | ||||
\(411\) | −3.03315e11 | + | 1.75119e11i | −0.524331 | + | 0.302723i | ||||
\(412\) | −5.58614e11 | − | 5.58614e11i | −0.955156 | − | 0.955156i | ||||
\(413\) | 3.38891e11 | + | 2.14600e11i | 0.573171 | + | 0.362956i | ||||
\(414\) | − | 1.65613e11i | − | 0.277073i | ||||||
\(415\) | 8.70495e11 | + | 9.60379e10i | 1.44062 | + | 0.158937i | ||||
\(416\) | −3.37516e11 | − | 1.94865e11i | −0.552553 | − | 0.319017i | ||||
\(417\) | −7.76433e10 | − | 2.89769e11i | −0.125745 | − | 0.469288i | ||||
\(418\) | −3.28828e11 | − | 8.81092e10i | −0.526836 | − | 0.141165i | ||||
\(419\) | 1.16519e11 | 0.184687 | 0.0923433 | − | 0.995727i | \(-0.470564\pi\) | ||||
0.0923433 | + | 0.995727i | \(0.470564\pi\) | |||||||
\(420\) | 8.88072e10 | + | 2.27069e11i | 0.139260 | + | 0.356071i | ||||
\(421\) | −9.23539e11 | −1.43280 | −0.716401 | − | 0.697689i | \(-0.754212\pi\) | ||||
−0.716401 | + | 0.697689i | \(0.754212\pi\) | |||||||
\(422\) | −1.44528e11 | − | 3.87263e10i | −0.221844 | − | 0.0594428i | ||||
\(423\) | 2.99028e10 | + | 1.11599e11i | 0.0454130 | + | 0.169484i | ||||
\(424\) | 3.39501e11 | + | 1.96011e11i | 0.510146 | + | 0.294533i | ||||
\(425\) | −3.84781e10 | − | 9.14802e11i | −0.0572088 | − | 1.36012i | ||||
\(426\) | 1.05539e11i | 0.155264i | ||||||||
\(427\) | 8.33861e10 | + | 1.59122e11i | 0.121386 | + | 0.231635i | ||||
\(428\) | 2.49373e11 | + | 2.49373e11i | 0.359214 | + | 0.359214i | ||||
\(429\) | −3.89268e11 | + | 2.24744e11i | −0.554869 | + | 0.320354i | ||||
\(430\) | −4.63519e10 | + | 1.18913e11i | −0.0653821 | + | 0.167733i | ||||
\(431\) | 3.05580e11 | − | 5.29280e11i | 0.426557 | − | 0.738819i | −0.570007 | − | 0.821640i | \(-0.693060\pi\) |
0.996564 | + | 0.0828210i | \(0.0263930\pi\) | |||||||
\(432\) | −1.08315e11 | + | 4.04238e11i | −0.149628 | + | 0.558419i | ||||
\(433\) | −3.66141e9 | + | 3.66141e9i | −0.00500556 | + | 0.00500556i | −0.709605 | − | 0.704600i | \(-0.751127\pi\) |
0.704600 | + | 0.709605i | \(0.251127\pi\) | |||||||
\(434\) | −2.37762e11 | + | 2.19065e11i | −0.321691 | + | 0.296394i | ||||
\(435\) | 2.15341e11 | + | 1.58159e11i | 0.288353 | + | 0.211784i | ||||
\(436\) | 4.19729e10 | + | 7.26992e10i | 0.0556263 | + | 0.0963475i | ||||
\(437\) | 8.82963e11 | − | 2.36589e11i | 1.15818 | − | 0.310333i | ||||
\(438\) | 7.09248e10 | − | 1.90042e10i | 0.0920798 | − | 0.0246727i | ||||
\(439\) | 5.74101e11 | + | 9.94372e11i | 0.737731 | + | 1.27779i | 0.953515 | + | 0.301346i | \(0.0974360\pi\) |
−0.215784 | + | 0.976441i | \(0.569231\pi\) | |||||||
\(440\) | 6.45767e11 | + | 4.74289e11i | 0.821370 | + | 0.603262i | ||||
\(441\) | −5.93375e11 | + | 2.80646e11i | −0.747060 | + | 0.353334i | ||||
\(442\) | 1.84070e11 | − | 1.84070e11i | 0.229395 | − | 0.229395i | ||||
\(443\) | −1.26836e11 | + | 4.73357e11i | −0.156468 | + | 0.583945i | 0.842508 | + | 0.538684i | \(0.181078\pi\) |
−0.998975 | + | 0.0452605i | \(0.985588\pi\) | |||||||
\(444\) | −2.31516e10 | + | 4.00998e10i | −0.0282721 | + | 0.0489687i | ||||
\(445\) | −1.24031e11 | + | 3.18193e11i | −0.149937 | + | 0.384654i | ||||
\(446\) | 2.47347e11 | − | 1.42806e11i | 0.296005 | − | 0.170899i | ||||
\(447\) | −2.80559e11 | − | 2.80559e11i | −0.332384 | − | 0.332384i | ||||
\(448\) | −4.59356e11 | − | 1.88006e10i | −0.538763 | − | 0.0220506i | ||||
\(449\) | − | 1.17618e12i | − | 1.36573i | −0.730545 | − | 0.682865i | \(-0.760734\pi\) | ||
0.730545 | − | 0.682865i | \(-0.239266\pi\) | |||||||
\(450\) | −8.66962e9 | − | 2.06117e11i | −0.00996653 | − | 0.236951i | ||||
\(451\) | 5.97811e11 | + | 3.45146e11i | 0.680408 | + | 0.392834i | ||||
\(452\) | 1.03951e11 | + | 3.87951e11i | 0.117140 | + | 0.437174i | ||||
\(453\) | −6.15565e11 | − | 1.64940e11i | −0.686803 | − | 0.184028i | ||||
\(454\) | −1.72749e11 | −0.190838 | ||||||||
\(455\) | −1.14040e11 | + | 7.50557e11i | −0.124740 | + | 0.820979i | ||||
\(456\) | 2.17275e11 | 0.235325 | ||||||||
\(457\) | 6.07755e11 | + | 1.62847e11i | 0.651787 | + | 0.174646i | 0.569537 | − | 0.821966i | \(-0.307123\pi\) |
0.0822503 | + | 0.996612i | \(0.473789\pi\) | |||||||
\(458\) | 1.04124e11 | + | 3.88596e11i | 0.110575 | + | 0.412671i | ||||
\(459\) | −8.53130e11 | − | 4.92555e11i | −0.897136 | − | 0.517962i | ||||
\(460\) | −1.02331e12 | − | 1.12898e11i | −1.06561 | − | 0.117564i | ||||
\(461\) | 6.73735e10i | 0.0694761i | 0.999396 | + | 0.0347380i | \(0.0110597\pi\) | ||||
−0.999396 | + | 0.0347380i | \(0.988940\pi\) | |||||||
\(462\) | 1.16001e11 | − | 1.83186e11i | 0.118460 | − | 0.187069i | ||||
\(463\) | 2.82268e11 | + | 2.82268e11i | 0.285461 | + | 0.285461i | 0.835282 | − | 0.549821i | \(-0.185304\pi\) |
−0.549821 | + | 0.835282i | \(0.685304\pi\) | |||||||
\(464\) | −5.64087e11 | + | 3.25676e11i | −0.564956 | + | 0.326178i | ||||
\(465\) | 5.86242e11 | − | 2.57394e11i | 0.581485 | − | 0.255306i | ||||
\(466\) | −8.38247e10 | + | 1.45189e11i | −0.0823447 | + | 0.142625i | ||||
\(467\) | −5.28219e10 | + | 1.97134e11i | −0.0513911 | + | 0.191794i | −0.986849 | − | 0.161643i | \(-0.948321\pi\) |
0.935458 | + | 0.353438i | \(0.114987\pi\) | |||||||
\(468\) | −4.62110e11 | + | 4.62110e11i | −0.445286 | + | 0.445286i | ||||
\(469\) | −2.80069e11 | + | 6.28917e10i | −0.267292 | + | 0.0600227i | ||||
\(470\) | −6.37163e10 | + | 9.75481e9i | −0.0602296 | + | 0.00922101i | ||||
\(471\) | −2.44298e10 | − | 4.23136e10i | −0.0228731 | − | 0.0396174i | ||||
\(472\) | −3.88868e11 | + | 1.04197e11i | −0.360632 | + | 0.0966309i | ||||
\(473\) | −1.22154e12 | + | 3.27309e11i | −1.12210 | + | 0.300665i | ||||
\(474\) | 2.82237e10 | + | 4.88849e10i | 0.0256810 | + | 0.0444808i | ||||
\(475\) | 1.08652e12 | − | 3.40674e11i | 0.979305 | − | 0.307056i | ||||
\(476\) | 4.17093e11 | − | 1.33554e12i | 0.372393 | − | 1.19241i | ||||
\(477\) | 7.07223e11 | − | 7.07223e11i | 0.625495 | − | 0.625495i | ||||
\(478\) | −2.02963e10 | + | 7.57468e10i | −0.0177824 | + | 0.0663649i | ||||
\(479\) | 2.79003e11 | − | 4.83248e11i | 0.242159 | − | 0.419431i | −0.719170 | − | 0.694834i | \(-0.755478\pi\) |
0.961329 | + | 0.275403i | \(0.0888113\pi\) | |||||||
\(480\) | −3.46893e11 | − | 1.35218e11i | −0.298270 | − | 0.116265i | ||||
\(481\) | −1.24858e11 | + | 7.20867e10i | −0.106356 | + | 0.0614048i | ||||
\(482\) | −3.03003e11 | − | 3.03003e11i | −0.255703 | − | 0.255703i | ||||
\(483\) | −2.38091e10 | + | 5.81729e11i | −0.0199059 | + | 0.486360i | ||||
\(484\) | 2.69126e12i | 2.22922i | ||||||||
\(485\) | −5.23300e10 | + | 4.74323e11i | −0.0429450 | + | 0.389257i | ||||
\(486\) | −2.97468e11 | − | 1.71743e11i | −0.241867 | − | 0.139642i | ||||
\(487\) | 5.20830e11 | + | 1.94376e12i | 0.419581 | + | 1.56590i | 0.775479 | + | 0.631373i | \(0.217508\pi\) |
−0.355898 | + | 0.934525i | \(0.615825\pi\) | |||||||
\(488\) | −1.74158e11 | − | 4.66656e10i | −0.139013 | − | 0.0372484i | ||||
\(489\) | 1.84539e11 | 0.145948 | ||||||||
\(490\) | −1.19329e11 | − | 3.46225e11i | −0.0935109 | − | 0.271316i | ||||
\(491\) | −8.65785e11 | −0.672269 | −0.336135 | − | 0.941814i | \(-0.609120\pi\) | ||||
−0.336135 | + | 0.941814i | \(0.609120\pi\) | |||||||
\(492\) | −2.03642e11 | − | 5.45657e10i | −0.156684 | − | 0.0419834i | ||||
\(493\) | −3.96829e11 | − | 1.48099e12i | −0.302546 | − | 1.12912i | ||||
\(494\) | 2.80362e11 | + | 1.61867e11i | 0.211811 | + | 0.122289i | ||||
\(495\) | 1.59524e12 | − | 1.27822e12i | 1.19427 | − | 0.956936i | ||||
\(496\) | 1.56086e12i | 1.15797i | ||||||||
\(497\) | −7.22294e10 | + | 1.76478e12i | −0.0531019 | + | 1.29744i | ||||
\(498\) | 1.68195e11 | + | 1.68195e11i | 0.122541 | + | 0.122541i | ||||
\(499\) | 5.39904e11 | − | 3.11714e11i | 0.389820 | − | 0.225063i | −0.292262 | − | 0.956338i | \(-0.594408\pi\) |
0.682082 | + | 0.731276i | \(0.261075\pi\) | |||||||
\(500\) | −1.27950e12 | − | 8.69401e10i | −0.915532 | − | 0.0622093i | ||||
\(501\) | −4.46720e11 | + | 7.73741e11i | −0.316786 | + | 0.548689i | ||||
\(502\) | 1.32223e11 | − | 4.93461e11i | 0.0929264 | − | 0.346806i | ||||
\(503\) | 4.23651e11 | − | 4.23651e11i | 0.295088 | − | 0.295088i | −0.543998 | − | 0.839086i | \(-0.683090\pi\) |
0.839086 | + | 0.543998i | \(0.183090\pi\) | |||||||
\(504\) | 1.96387e11 | − | 6.28837e11i | 0.135574 | − | 0.434111i | ||||
\(505\) | 2.01228e11 | + | 1.31438e12i | 0.137682 | + | 0.899308i | ||||
\(506\) | 4.57773e11 | + | 7.92886e11i | 0.310437 | + | 0.537692i | ||||
\(507\) | −1.85874e11 | + | 4.98047e10i | −0.124934 | + | 0.0334761i | ||||
\(508\) | 1.07745e12 | − | 2.88702e11i | 0.717812 | − | 0.192337i | ||||
\(509\) | −7.92976e11 | − | 1.37347e12i | −0.523636 | − | 0.906965i | −0.999621 | − | 0.0275114i | \(-0.991242\pi\) |
0.475985 | − | 0.879453i | \(-0.342092\pi\) | |||||||
\(510\) | 1.47209e11 | − | 2.00432e11i | 0.0963535 | − | 0.131190i | ||||
\(511\) | 1.19898e12 | − | 2.69241e11i | 0.777890 | − | 0.174682i | ||||
\(512\) | 1.10150e12 | − | 1.10150e12i | 0.708385 | − | 0.708385i | ||||
\(513\) | 3.17082e11 | − | 1.18337e12i | 0.202136 | − | 0.754381i | ||||
\(514\) | 1.55347e11 | − | 2.69069e11i | 0.0981678 | − | 0.170032i | ||||
\(515\) | −9.44694e11 | − | 2.15164e12i | −0.591778 | − | 1.34783i | ||||
\(516\) | 3.34490e11 | − | 1.93118e11i | 0.207711 | − | 0.119922i | ||||
\(517\) | −4.51633e11 | − | 4.51633e11i | −0.278021 | − | 0.278021i | ||||
\(518\) | 3.72074e10 | − | 5.87569e10i | 0.0227062 | − | 0.0358571i | ||||
\(519\) | 1.72909e10i | 0.0104608i | ||||||||
\(520\) | −4.76441e11 | − | 5.94605e11i | −0.285755 | − | 0.356627i | ||||
\(521\) | −1.47798e11 | − | 8.53312e10i | −0.0878817 | − | 0.0507385i | 0.455415 | − | 0.890279i | \(-0.349491\pi\) |
−0.543297 | + | 0.839541i | \(0.682824\pi\) | |||||||
\(522\) | −8.94109e10 | − | 3.33686e11i | −0.0527076 | − | 0.196707i | ||||
\(523\) | 1.46303e12 | + | 3.92018e11i | 0.855058 | + | 0.229112i | 0.659616 | − | 0.751603i | \(-0.270719\pi\) |
0.195442 | + | 0.980715i | \(0.437386\pi\) | |||||||
\(524\) | −5.85601e11 | −0.339321 | ||||||||
\(525\) | 8.20554e8 | + | 7.25248e11i | 0.000471401 | + | 0.416648i | ||||
\(526\) | −7.68029e11 | −0.437463 | ||||||||
\(527\) | −3.54895e12 | − | 9.50938e11i | −2.00425 | − | 0.537037i | ||||
\(528\) | −2.70938e11 | − | 1.01115e12i | −0.151711 | − | 0.566193i | ||||
\(529\) | −5.69201e11 | − | 3.28628e11i | −0.316020 | − | 0.182454i | ||||
\(530\) | 3.48920e11 | + | 4.35457e11i | 0.192081 | + | 0.239720i | ||||
\(531\) | 1.02712e12i | 0.560654i | ||||||||
\(532\) | 1.73857e12 | + | 7.11568e10i | 0.941003 | + | 0.0385136i | ||||
\(533\) | −4.64176e11 | − | 4.64176e11i | −0.249121 | − | 0.249121i | ||||
\(534\) | −8.03288e10 | + | 4.63779e10i | −0.0427500 | + | 0.0246817i | ||||
\(535\) | 4.21725e11 | + | 9.60522e11i | 0.222555 | + | 0.506892i | ||||
\(536\) | 1.44045e11 | − | 2.49493e11i | 0.0753801 | − | 0.130562i | ||||
\(537\) | 8.10120e10 | − | 3.02341e11i | 0.0420402 | − | 0.156896i | ||||
\(538\) | −6.07469e10 | + | 6.07469e10i | −0.0312611 | + | 0.0312611i | ||||
\(539\) | 2.06509e12 | − | 2.98377e12i | 1.05388 | − | 1.52270i | ||||
\(540\) | −8.16770e11 | + | 1.11207e12i | −0.413360 | + | 0.562809i | ||||
\(541\) | −1.46186e12 | − | 2.53201e12i | −0.733697 | − | 1.27080i | −0.955293 | − | 0.295662i | \(-0.904460\pi\) |
0.221596 | − | 0.975139i | \(-0.428873\pi\) | |||||||
\(542\) | −2.29042e11 | + | 6.13716e10i | −0.114003 | + | 0.0305471i | ||||
\(543\) | 1.34746e12 | − | 3.61052e11i | 0.665148 | − | 0.178226i | ||||
\(544\) | 1.06827e12 | + | 1.85030e12i | 0.522982 | + | 0.905831i | ||||
\(545\) | 3.77884e10 | + | 2.46825e11i | 0.0183474 | + | 0.119841i | ||||
\(546\) | −1.51641e11 | + | 1.39716e11i | −0.0730214 | + | 0.0672791i | ||||
\(547\) | −1.38972e12 | + | 1.38972e12i | −0.663719 | + | 0.663719i | −0.956255 | − | 0.292536i | \(-0.905501\pi\) |
0.292536 | + | 0.956255i | \(0.405501\pi\) | |||||||
\(548\) | 7.28597e11 | − | 2.71916e12i | 0.345124 | − | 1.28802i | ||||
\(549\) | −2.30002e11 | + | 3.98376e11i | −0.108058 | + | 0.187162i | ||||
\(550\) | 6.11237e11 | + | 9.62838e11i | 0.284825 | + | 0.448664i | ||||
\(551\) | 1.65131e12 | − | 9.53383e11i | 0.763213 | − | 0.440641i | ||||
\(552\) | −4.13190e11 | − | 4.13190e11i | −0.189419 | − | 0.189419i | ||||
\(553\) | 4.38490e11 | + | 8.36750e11i | 0.199387 | + | 0.380481i | ||||
\(554\) | 7.53536e10i | 0.0339868i | ||||||||
\(555\) | −1.07483e11 | + | 8.61235e10i | −0.0480864 | + | 0.0385304i | ||||
\(556\) | 2.08817e12 | + | 1.20561e12i | 0.926681 | + | 0.535019i | ||||
\(557\) | 4.72757e11 | + | 1.76435e12i | 0.208109 | + | 0.776672i | 0.988480 | + | 0.151355i | \(0.0483636\pi\) |
−0.780371 | + | 0.625317i | \(0.784970\pi\) | |||||||
\(558\) | −7.99626e11 | − | 2.14259e11i | −0.349167 | − | 0.0935590i | ||||
\(559\) | 1.20262e12 | 0.520923 | ||||||||
\(560\) | −1.61969e12 | − | 7.08954e11i | −0.695963 | − | 0.304629i | ||||
\(561\) | 2.46414e12 | 1.05035 | ||||||||
\(562\) | 4.28445e10 | + | 1.14802e10i | 0.0181168 | + | 0.00485439i | ||||
\(563\) | −3.52630e11 | − | 1.31603e12i | −0.147921 | − | 0.552050i | −0.999608 | − | 0.0279988i | \(-0.991087\pi\) |
0.851686 | − | 0.524052i | \(-0.175580\pi\) | |||||||
\(564\) | 1.68936e11 | + | 9.75352e10i | 0.0703017 | + | 0.0405887i | ||||
\(565\) | −1.31010e11 | + | 1.18748e12i | −0.0540861 | + | 0.490241i | ||||
\(566\) | 7.74844e11i | 0.317351i | ||||||||
\(567\) | −1.05906e12 | − | 6.70640e11i | −0.430324 | − | 0.272499i | ||||
\(568\) | −1.25349e12 | − | 1.25349e12i | −0.505304 | − | 0.505304i | ||||
\(569\) | −7.70812e11 | + | 4.45028e11i | −0.308278 | + | 0.177985i | −0.646156 | − | 0.763205i | \(-0.723624\pi\) |
0.337877 | + | 0.941190i | \(0.390291\pi\) | |||||||
\(570\) | 2.88152e11 | + | 1.12321e11i | 0.114336 | + | 0.0445681i | ||||
\(571\) | −9.51420e11 | + | 1.64791e12i | −0.374550 | + | 0.648739i | −0.990260 | − | 0.139234i | \(-0.955536\pi\) |
0.615710 | + | 0.787973i | \(0.288869\pi\) | |||||||
\(572\) | 9.35066e11 | − | 3.48971e12i | 0.365225 | − | 1.36304i | ||||
\(573\) | 1.15135e12 | − | 1.15135e12i | 0.446181 | − | 0.446181i | ||||
\(574\) | 3.02260e11 | + | 9.43966e10i | 0.116219 | + | 0.0362955i | ||||
\(575\) | −2.71409e12 | − | 1.41838e12i | −1.03543 | − | 0.541111i | ||||
\(576\) | −5.88606e11 | − | 1.01950e12i | −0.222804 | − | 0.385909i | ||||
\(577\) | −3.42904e12 | + | 9.18808e11i | −1.28790 | + | 0.345091i | −0.836862 | − | 0.547415i | \(-0.815612\pi\) |
−0.451036 | + | 0.892506i | \(0.648945\pi\) | |||||||
\(578\) | −6.34627e11 | + | 1.70048e11i | −0.236507 | + | 0.0633717i | ||||
\(579\) | −4.16876e11 | − | 7.22050e11i | −0.154153 | − | 0.267002i | ||||
\(580\) | −2.12277e12 | + | 3.24992e11i | −0.778893 | + | 0.119247i | ||||
\(581\) | 2.69738e12 | + | 2.92760e12i | 0.982086 | + | 1.06591i | ||||
\(582\) | −9.16477e10 | + | 9.16477e10i | −0.0331107 | + | 0.0331107i | ||||
\(583\) | −1.43104e12 | + | 5.34073e12i | −0.513032 | + | 1.91466i | ||||
\(584\) | −6.16661e11 | + | 1.06809e12i | −0.219376 | + | 0.379970i | ||||
\(585\) | −1.77993e12 | + | 7.81493e11i | −0.628350 | + | 0.275882i | ||||
\(586\) | 7.96618e11 | − | 4.59928e11i | 0.279069 | − | 0.161120i | ||||
\(587\) | 3.16164e11 | + | 3.16164e11i | 0.109911 | + | 0.109911i | 0.759923 | − | 0.650013i | \(-0.225236\pi\) |
−0.650013 | + | 0.759923i | \(0.725236\pi\) | |||||||
\(588\) | −3.73360e11 | + | 1.04348e12i | −0.128804 | + | 0.359985i | ||||
\(589\) | − | 4.56927e12i | − | 1.56433i | ||||||
\(590\) | −5.69586e11 | − | 6.28399e10i | −0.193520 | − | 0.0213502i | ||||
\(591\) | −1.72315e12 | − | 9.94863e11i | −0.581005 | − | 0.335444i | ||||
\(592\) | −8.69035e10 | − | 3.24328e11i | −0.0290797 | − | 0.108527i | ||||
\(593\) | 1.26302e12 | + | 3.38426e11i | 0.419436 | + | 0.112388i | 0.462363 | − | 0.886691i | \(-0.347002\pi\) |
−0.0429271 | + | 0.999078i | \(0.513668\pi\) | |||||||
\(594\) | 1.22703e12 | 0.404406 | ||||||||
\(595\) | 2.59874e12 | − | 3.25079e12i | 0.850033 | − | 1.06332i | ||||
\(596\) | 3.18909e12 | 1.03528 | ||||||||
\(597\) | 5.01261e11 | + | 1.34313e11i | 0.161503 | + | 0.0432745i | ||||
\(598\) | −2.25341e11 | − | 8.40985e11i | −0.0720586 | − | 0.268926i | ||||
\(599\) | 2.94190e12 | + | 1.69851e12i | 0.933701 | + | 0.539072i | 0.887980 | − | 0.459882i | \(-0.152108\pi\) |
0.0457205 | + | 0.998954i | \(0.485442\pi\) | |||||||
\(600\) | −5.35874e11 | − | 4.92614e11i | −0.168804 | − | 0.155177i | ||||
\(601\) | 5.86013e12i | 1.83220i | 0.400954 | + | 0.916098i | \(0.368679\pi\) | ||||
−0.400954 | + | 0.916098i | \(0.631321\pi\) | |||||||
\(602\) | −5.13842e11 | + | 2.69273e11i | −0.159458 | + | 0.0835620i | ||||
\(603\) | −5.19726e11 | − | 5.19726e11i | −0.160084 | − | 0.160084i | ||||
\(604\) | 4.43598e12 | − | 2.56111e12i | 1.35620 | − | 0.783001i | ||||
\(605\) | −2.90738e12 | + | 7.45868e12i | −0.882271 | + | 2.26341i | ||||
\(606\) | −1.80574e11 | + | 3.12764e11i | −0.0543912 | + | 0.0942084i | ||||
\(607\) | 9.99843e11 | − | 3.73146e12i | 0.298939 | − | 1.11566i | −0.639099 | − | 0.769124i | \(-0.720693\pi\) |
0.938038 | − | 0.346532i | \(-0.112641\pi\) | |||||||
\(608\) | −1.87883e12 | + | 1.87883e12i | −0.557598 | + | 0.557598i | ||||
\(609\) | 2.66090e11 | + | 1.18495e12i | 0.0783883 | + | 0.349078i | ||||
\(610\) | −2.06847e11 | − | 1.51920e11i | −0.0604873 | − | 0.0444254i | ||||
\(611\) | 3.03693e11 | + | 5.26012e11i | 0.0881555 | + | 0.152690i | ||||
\(612\) | 3.46061e12 | − | 9.27267e11i | 0.997174 | − | 0.267192i | ||||
\(613\) | −7.47647e10 | + | 2.00332e10i | −0.0213858 | + | 0.00573030i | −0.269496 | − | 0.963001i | \(-0.586857\pi\) |
0.248110 | + | 0.968732i | \(0.420190\pi\) | |||||||
\(614\) | 3.72190e10 | + | 6.44652e10i | 0.0105684 | + | 0.0183049i | ||||
\(615\) | −5.05435e11 | − | 3.71221e11i | −0.142471 | − | 0.104639i | ||||
\(616\) | 7.97955e11 | + | 3.55344e12i | 0.223288 | + | 0.994343i | ||||
\(617\) | −3.09216e12 | + | 3.09216e12i | −0.858971 | + | 0.858971i | −0.991217 | − | 0.132246i | \(-0.957781\pi\) |
0.132246 | + | 0.991217i | \(0.457781\pi\) | |||||||
\(618\) | 1.65188e11 | − | 6.16491e11i | 0.0455545 | − | 0.170012i | ||||
\(619\) | 4.24866e9 | − | 7.35889e9i | 0.00116317 | − | 0.00201467i | −0.865443 | − | 0.501007i | \(-0.832963\pi\) |
0.866606 | + | 0.498992i | \(0.166296\pi\) | |||||||
\(620\) | −1.86899e12 | + | 4.79478e12i | −0.507979 | + | 1.30318i | ||||
\(621\) | −2.85339e12 | + | 1.64741e12i | −0.769926 | + | 0.444517i | ||||
\(622\) | 3.04460e10 | + | 3.04460e10i | 0.00815593 | + | 0.00815593i | ||||
\(623\) | −1.37497e12 | + | 7.20536e11i | −0.365676 | + | 0.191628i | ||||
\(624\) | 9.95493e11i | 0.262850i | ||||||||
\(625\) | −3.45212e12 | − | 1.62319e12i | −0.904954 | − | 0.425510i | ||||
\(626\) | 2.86009e11 | + | 1.65127e11i | 0.0744380 | + | 0.0429768i | ||||
\(627\) | 7.93144e11 | + | 2.96005e12i | 0.204950 | + | 0.764884i | ||||
\(628\) | 3.79334e11 | + | 1.01642e11i | 0.0973203 | + | 0.0260769i | ||||
\(629\) | 7.90375e11 | 0.201328 | ||||||||
\(630\) | 5.85530e11 | − | 7.32446e11i | 0.148087 | − | 0.185244i | ||||
\(631\) | −2.06194e12 | −0.517778 | −0.258889 | − | 0.965907i | \(-0.583356\pi\) | ||||
−0.258889 | + | 0.965907i | \(0.583356\pi\) | |||||||
\(632\) | −9.15821e11 | − | 2.45393e11i | −0.228341 | − | 0.0611837i | ||||
\(633\) | 3.48608e11 | + | 1.30102e12i | 0.0863018 | + | 0.322083i | ||||
\(634\) | −8.76957e11 | − | 5.06311e11i | −0.215564 | − | 0.124456i | ||||
\(635\) | 3.29798e12 | + | 3.63851e11i | 0.804944 | + | 0.0888060i | ||||
\(636\) | − | 1.68868e12i | − | 0.409252i | ||||||
\(637\) | −2.63130e12 | + | 2.23250e12i | −0.633203 | + | 0.537234i | ||||
\(638\) | 1.35041e12 | + | 1.35041e12i | 0.322679 | + | 0.322679i | ||||
\(639\) | −3.91677e12 | + | 2.26135e12i | −0.929338 | + | 0.536554i | ||||
\(640\) | 3.58735e12 | − | 1.57505e12i | 0.845208 | − | 0.371096i | ||||
\(641\) | 1.86433e12 | − | 3.22912e12i | 0.436176 | − | 0.755479i | −0.561215 | − | 0.827670i | \(-0.689666\pi\) |
0.997391 | + | 0.0721909i | \(0.0229991\pi\) | |||||||
\(642\) | −7.37424e10 | + | 2.75210e11i | −0.0171321 | + | 0.0639377i | ||||
\(643\) | 5.07481e12 | − | 5.07481e12i | 1.17077 | − | 1.17077i | 0.188741 | − | 0.982027i | \(-0.439559\pi\) |
0.982027 | − | 0.188741i | \(-0.0604405\pi\) | |||||||
\(644\) | −3.17092e12 | − | 3.44155e12i | −0.726438 | − | 0.788439i | ||||
\(645\) | 1.13565e12 | − | 1.73865e11i | 0.258360 | − | 0.0395542i | ||||
\(646\) | −8.87375e11 | − | 1.53698e12i | −0.200475 | − | 0.347233i | ||||
\(647\) | 5.42252e12 | − | 1.45296e12i | 1.21655 | − | 0.325975i | 0.407224 | − | 0.913328i | \(-0.366497\pi\) |
0.809331 | + | 0.587353i | \(0.199830\pi\) | |||||||
\(648\) | 1.21524e12 | − | 3.25623e11i | 0.270754 | − | 0.0725484i | ||||
\(649\) | −2.83907e12 | − | 4.91741e12i | −0.628166 | − | 1.08802i | ||||
\(650\) | −3.24477e11 | − | 1.03487e12i | −0.0712975 | − | 0.227392i | ||||
\(651\) | 2.77794e12 | + | 8.67557e11i | 0.606190 | + | 0.189314i | ||||
\(652\) | −1.04882e12 | + | 1.04882e12i | −0.227293 | + | 0.227293i | ||||
\(653\) | 7.50260e11 | − | 2.80001e12i | 0.161474 | − | 0.602629i | −0.836990 | − | 0.547219i | \(-0.815687\pi\) |
0.998464 | − | 0.0554104i | \(-0.0176467\pi\) | |||||||
\(654\) | −3.39098e10 | + | 5.87335e10i | −0.00724812 | + | 0.0125541i | ||||
\(655\) | −1.62296e12 | − | 6.32626e11i | −0.344526 | − | 0.134295i | ||||
\(656\) | 1.32399e12 | − | 7.64405e11i | 0.279137 | − | 0.161160i | ||||
\(657\) | 2.22496e12 | + | 2.22496e12i | 0.465885 | + | 0.465885i | ||||
\(658\) | −2.47536e11 | − | 1.56750e11i | −0.0514781 | − | 0.0325981i | ||||
\(659\) | 5.11092e12i | 1.05564i | 0.849357 | + | 0.527819i | \(0.176990\pi\) | ||||
−0.849357 | + | 0.527819i | \(0.823010\pi\) | |||||||
\(660\) | 3.78480e11 | − | 3.43057e12i | 0.0776417 | − | 0.703750i | ||||
\(661\) | −4.61705e12 | − | 2.66566e12i | −0.940715 | − | 0.543122i | −0.0505308 | − | 0.998723i | \(-0.516091\pi\) |
−0.890184 | + | 0.455600i | \(0.849425\pi\) | |||||||
\(662\) | −2.96606e11 | − | 1.10695e12i | −0.0600232 | − | 0.224010i | ||||
\(663\) | −2.26346e12 | − | 6.06493e11i | −0.454949 | − | 0.121903i | ||||
\(664\) | −3.99531e12 | −0.797617 | ||||||||
\(665\) | 4.74149e12 | + | 2.07539e12i | 0.940193 | + | 0.411531i | ||||
\(666\) | 1.78082e11 | 0.0350741 | ||||||||
\(667\) | −4.95332e12 | − | 1.32724e12i | −0.969015 | − | 0.259647i | ||||
\(668\) | −1.85862e12 | − | 6.93645e12i | −0.361157 | − | 1.34786i | ||||
\(669\) | −2.22657e12 | − | 1.28551e12i | −0.429754 | − | 0.248118i | ||||
\(670\) | 3.20010e11 | − | 2.56416e11i | 0.0613518 | − | 0.0491595i | ||||
\(671\) | − | 2.54301e12i | − | 0.484279i | ||||||
\(672\) | −7.85527e11 | − | 1.49899e12i | −0.148593 | − | 0.283554i | ||||
\(673\) | −2.87257e12 | − | 2.87257e12i | −0.539763 | − | 0.539763i | 0.383696 | − | 0.923459i | \(-0.374651\pi\) |
−0.923459 | + | 0.383696i | \(0.874651\pi\) | |||||||
\(674\) | 2.27655e12 | − | 1.31436e12i | 0.424920 | − | 0.245327i | ||||
\(675\) | −3.46500e12 | + | 2.19968e12i | −0.642446 | + | 0.407843i | ||||
\(676\) | 7.73343e11 | − | 1.33947e12i | 0.142434 | − | 0.246702i | ||||
\(677\) | 9.31586e11 | − | 3.47673e12i | 0.170441 | − | 0.636094i | −0.826842 | − | 0.562434i | \(-0.809865\pi\) |
0.997283 | − | 0.0736605i | \(-0.0234681\pi\) | |||||||
\(678\) | −2.29443e11 | + | 2.29443e11i | −0.0417004 | + | 0.0417004i | ||||
\(679\) | −1.59522e12 | + | 1.46977e12i | −0.288009 | + | 0.265361i | ||||
\(680\) | 6.32130e11 | + | 4.12893e12i | 0.113375 | + | 0.740538i | ||||
\(681\) | 7.77531e11 | + | 1.34672e12i | 0.138534 | + | 0.239948i | ||||
\(682\) | 4.42051e12 | − | 1.18447e12i | 0.782424 | − | 0.209650i | ||||
\(683\) | 1.49400e12 | − | 4.00316e11i | 0.262698 | − | 0.0703897i | −0.125066 | − | 0.992148i | \(-0.539914\pi\) |
0.387764 | + | 0.921759i | \(0.373248\pi\) | |||||||
\(684\) | 2.22776e12 | + | 3.85860e12i | 0.389150 | + | 0.674027i | ||||
\(685\) | 4.95678e12 | − | 6.74889e12i | 0.860186 | − | 1.17118i | ||||
\(686\) | 6.24406e11 | − | 1.54304e12i | 0.107649 | − | 0.266023i | ||||
\(687\) | 2.56077e12 | − | 2.56077e12i | 0.438597 | − | 0.438597i | ||||
\(688\) | −7.24901e11 | + | 2.70537e12i | −0.123348 | + | 0.460340i | ||||
\(689\) | 2.62900e12 | − | 4.55357e12i | 0.444431 | − | 0.769778i | ||||
\(690\) | −3.34376e11 | − | 7.61576e11i | −0.0561584 | − | 0.127906i | ||||
\(691\) | −3.23684e12 | + | 1.86879e12i | −0.540095 | + | 0.311824i | −0.745117 | − | 0.666933i | \(-0.767607\pi\) |
0.205023 | + | 0.978757i | \(0.434273\pi\) | |||||||
\(692\) | −9.82720e10 | − | 9.82720e10i | −0.0162912 | − | 0.0162912i | ||||
\(693\) | 9.28389e12 | + | 3.79973e11i | 1.52908 | + | 0.0625826i | ||||
\(694\) | 2.95547e12i | 0.483625i | ||||||||
\(695\) | 4.48483e12 | + | 5.59713e12i | 0.729146 | + | 0.909984i | ||||
\(696\) | −1.05559e12 | − | 6.09444e11i | −0.170511 | − | 0.0984446i | ||||
\(697\) | 9.31412e11 | + | 3.47608e12i | 0.149484 | + | 0.557881i | ||||
\(698\) | 5.50960e11 | + | 1.47629e11i | 0.0878559 | + | 0.0235409i | ||||
\(699\) | 1.50915e12 | 0.239104 | ||||||||
\(700\) | −4.12659e12 | − | 4.11726e12i | −0.649606 | − | 0.648137i | ||||
\(701\) | −6.73685e12 | −1.05372 | −0.526860 | − | 0.849952i | \(-0.676631\pi\) | ||||
−0.526860 | + | 0.849952i | \(0.676631\pi\) | |||||||
\(702\) | −1.12711e12 | − | 3.02007e11i | −0.175165 | − | 0.0469354i | ||||
\(703\) | 2.54402e11 | + | 9.49439e11i | 0.0392845 | + | 0.146612i | ||||
\(704\) | 5.63600e12 | + | 3.25394e12i | 0.864756 | + | 0.499267i | ||||
\(705\) | 3.62828e11 | + | 4.52815e11i | 0.0553159 | + | 0.0690351i | ||||
\(706\) | 3.74633e11i | 0.0567526i | ||||||||
\(707\) | −3.23354e12 | + | 5.10633e12i | −0.486733 | + | 0.768637i | ||||
\(708\) | 1.22626e12 | + | 1.22626e12i | 0.183414 | + | 0.183414i | ||||
\(709\) | 2.63583e12 | − | 1.52180e12i | 0.391750 | − | 0.226177i | −0.291168 | − | 0.956672i | \(-0.594044\pi\) |
0.682918 | + | 0.730495i | \(0.260711\pi\) | |||||||
\(710\) | −1.01439e12 | − | 2.31038e12i | −0.149811 | − | 0.341210i | ||||
\(711\) | −1.20948e12 | + | 2.09488e12i | −0.177495 | + | 0.307430i | ||||
\(712\) | 4.03236e11 | − | 1.50490e12i | 0.0588030 | − | 0.219456i | ||||
\(713\) | −8.68934e12 | + | 8.68934e12i | −1.25917 | + | 1.25917i | ||||
\(714\) | 1.10291e12 | − | 2.47667e11i | 0.158817 | − | 0.0356637i | ||||
\(715\) | 6.36142e12 | − | 8.66138e12i | 0.910284 | − | 1.23940i | ||||
\(716\) | 1.25792e12 | + | 2.17877e12i | 0.178872 | + | 0.309816i | ||||
\(717\) | 6.81860e11 | − | 1.82704e11i | 0.0963516 | − | 0.0258173i | ||||
\(718\) | 1.20610e12 | − | 3.23173e11i | 0.169365 | − | 0.0453811i | ||||
\(719\) | 1.18211e12 | + | 2.04747e12i | 0.164959 | + | 0.285718i | 0.936641 | − | 0.350291i | \(-0.113917\pi\) |
−0.771681 | + | 0.636009i | \(0.780584\pi\) | |||||||
\(720\) | −6.85134e11 | − | 4.47514e12i | −0.0950122 | − | 0.620598i | ||||
\(721\) | 3.18413e12 | − | 1.01957e13i | 0.438815 | − | 1.40510i | ||||
\(722\) | 7.90045e10 | − | 7.90045e10i | 0.0108202 | − | 0.0108202i | ||||
\(723\) | −9.98366e11 | + | 3.72595e12i | −0.135884 | + | 0.507125i | ||||
\(724\) | −5.60624e12 | + | 9.71030e12i | −0.758313 | + | 1.31344i | ||||
\(725\) | −6.23423e12 | − | 1.39254e12i | −0.838035 | − | 0.187192i | ||||
\(726\) | −1.88297e12 | + | 1.08713e12i | −0.251552 | + | 0.145234i | ||||
\(727\) | −4.39801e12 | − | 4.39801e12i | −0.583917 | − | 0.583917i | 0.352060 | − | 0.935977i | \(-0.385481\pi\) |
−0.935977 | + | 0.352060i | \(0.885481\pi\) | |||||||
\(728\) | 1.41630e11 | − | 3.46045e12i | 0.0186881 | − | 0.456606i | ||||
\(729\) | − | 7.92072e11i | − | 0.103870i | ||||||
\(730\) | −1.36997e12 | + | 1.09772e12i | −0.178550 | + | 0.143067i | ||||
\(731\) | −5.70959e12 | − | 3.29644e12i | −0.739566 | − | 0.426989i | ||||
\(732\) | 2.01018e11 | + | 7.50208e11i | 0.0258782 | + | 0.0965788i | ||||
\(733\) | 7.58215e12 | + | 2.03163e12i | 0.970118 | + | 0.259942i | 0.708878 | − | 0.705331i | \(-0.249202\pi\) |
0.261240 | + | 0.965274i | \(0.415868\pi\) | |||||||
\(734\) | −2.11529e10 | −0.00268991 | ||||||||
\(735\) | −2.16202e12 | + | 2.48859e12i | −0.273254 | + | 0.314529i | ||||
\(736\) | 7.14591e12 | 0.897651 | ||||||||
\(737\) | 3.92481e12 | + | 1.05165e12i | 0.490021 | + | 0.131301i | ||||
\(738\) | 2.09860e11 | + | 7.83207e11i | 0.0260420 | + | 0.0971902i | ||||
\(739\) | −1.17477e13 | − | 6.78251e12i | −1.44894 | − | 0.836548i | −0.450525 | − | 0.892764i | \(-0.648763\pi\) |
−0.998419 | + | 0.0562162i | \(0.982096\pi\) | |||||||
\(740\) | 1.21398e11 | − | 1.10036e12i | 0.0148822 | − | 0.134893i | ||||
\(741\) | − | 2.91421e12i | − | 0.355090i | ||||||
\(742\) | −1.03723e11 | + | 2.53425e12i | −0.0125619 | + | 0.306925i | ||||
\(743\) | −7.53425e12 | − | 7.53425e12i | −0.906965 | − | 0.906965i | 0.0890612 | − | 0.996026i | \(-0.471613\pi\) |
−0.996026 | + | 0.0890612i | \(0.971613\pi\) | |||||||
\(744\) | −2.52955e12 | + | 1.46044e12i | −0.302667 | + | 0.174745i | ||||
\(745\) | 8.83838e12 | + | 3.44518e12i | 1.05116 | + | 0.409741i | ||||
\(746\) | 2.07657e12 | − | 3.59672e12i | 0.245483 | − | 0.425189i | ||||
\(747\) | −2.63820e12 | + | 9.84591e12i | −0.310003 | + | 1.15695i | ||||
\(748\) | −1.40049e13 | + | 1.40049e13i | −1.63577 | + | 1.63577i | ||||
\(749\) | −1.42144e12 | + | 4.55149e12i | −0.165029 | + | 0.528427i | ||||
\(750\) | −4.56022e11 | − | 9.30330e11i | −0.0526272 | − | 0.107365i | ||||
\(751\) | 1.29672e12 | + | 2.24599e12i | 0.148754 | + | 0.257649i | 0.930767 | − | 0.365613i | \(-0.119141\pi\) |
−0.782013 | + | 0.623262i | \(0.785807\pi\) | |||||||
\(752\) | −1.36636e12 | + | 3.66115e11i | −0.155806 | + | 0.0417481i | ||||
\(753\) | −4.44206e12 | + | 1.19025e12i | −0.503509 | + | 0.134915i | ||||
\(754\) | −9.08058e11 | − | 1.57280e12i | −0.102316 | − | 0.177216i | ||||
\(755\) | 1.50608e13 | − | 2.30578e12i | 1.68689 | − | 0.258259i | ||||
\(756\) | −6.11936e12 | + | 1.37415e12i | −0.681331 | + | 0.152998i | ||||
\(757\) | 1.03813e13 | − | 1.03813e13i | 1.14900 | − | 1.14900i | 0.162248 | − | 0.986750i | \(-0.448125\pi\) |
0.986750 | − | 0.162248i | \(-0.0518746\pi\) | |||||||
\(758\) | −1.05265e12 | + | 3.92855e12i | −0.115817 | + | 0.432236i | ||||
\(759\) | 4.12080e12 | − | 7.13743e12i | 0.450706 | − | 0.780646i | ||||
\(760\) | −4.75642e12 | + | 2.08834e12i | −0.517153 | + | 0.227060i | ||||
\(761\) | −5.08472e12 | + | 2.93567e12i | −0.549587 | + | 0.317304i | −0.748955 | − | 0.662621i | \(-0.769444\pi\) |
0.199369 | + | 0.979925i | \(0.436111\pi\) | |||||||
\(762\) | 6.37228e11 | + | 6.37228e11i | 0.0684695 | + | 0.0684695i | ||||
\(763\) | −6.07222e11 | + | 9.58910e11i | −0.0648616 | + | 0.102428i | ||||
\(764\) | 1.30873e13i | 1.38973i | ||||||||
\(765\) | 1.05926e13 | + | 1.16864e12i | 1.11822 | + | 0.123368i | ||||
\(766\) | 3.86810e11 | + | 2.23325e11i | 0.0405946 | + | 0.0234373i | ||||
\(767\) | 1.39755e12 | + | 5.21571e12i | 0.145810 | + | 0.544170i | ||||
\(768\) | −1.06433e12 | − | 2.85188e11i | −0.110396 | − | 0.0295805i | ||||
\(769\) | 7.42780e12 | 0.765934 | 0.382967 | − | 0.923762i | \(-0.374902\pi\) | ||||
0.382967 | + | 0.923762i | \(0.374902\pi\) | |||||||
\(770\) | −7.78709e11 | + | 5.12511e12i | −0.0798302 | + | 0.525406i | ||||
\(771\) | −2.79682e12 | −0.285049 | ||||||||
\(772\) | 6.47305e12 | + | 1.73445e12i | 0.655890 | + | 0.175745i | ||||
\(773\) | 4.82352e12 | + | 1.80016e13i | 0.485911 | + | 1.81344i | 0.575925 | + | 0.817503i | \(0.304642\pi\) |
−0.0900138 | + | 0.995941i | \(0.528691\pi\) | |||||||
\(774\) | −1.28645e12 | − | 7.42731e11i | −0.128842 | − | 0.0743870i | ||||
\(775\) | −1.03596e13 | + | 1.12694e13i | −1.03154 | + | 1.12213i | ||||
\(776\) | − | 2.17700e12i | − | 0.215517i | ||||||
\(777\) | −6.25526e11 | − | 2.56017e10i | −0.0615674 | − | 0.00251984i | ||||
\(778\) | −8.31905e10 | − | 8.31905e10i | −0.00814077 | − | 0.00814077i | ||||
\(779\) | −3.87585e12 | + | 2.23772e12i | −0.377093 | + | 0.217715i | ||||
\(780\) | −1.19202e12 | + | 3.05803e12i | −0.115307 | + | 0.295813i | ||||
\(781\) | 1.25012e13 | − | 2.16527e13i | 1.20233 | − | 2.08249i | ||||
\(782\) | −1.23535e12 | + | 4.61038e12i | −0.118130 | + | 0.440865i | ||||
\(783\) | −4.85976e12 | + | 4.85976e12i | −0.462048 | + | 0.462048i | ||||
\(784\) | −3.43609e12 | − | 7.26498e12i | −0.324820 | − | 0.686772i | ||||
\(785\) | 9.41498e11 | + | 6.91491e11i | 0.0884924 | + | 0.0649940i | ||||
\(786\) | −2.36553e11 | − | 4.09722e11i | −0.0221068 | − | 0.0382902i | ||||
\(787\) | 1.22263e13 | − | 3.27604e12i | 1.13608 | − | 0.304412i | 0.358708 | − | 0.933450i | \(-0.383217\pi\) |
0.777375 | + | 0.629038i | \(0.216551\pi\) | |||||||
\(788\) | 1.54478e13 | − | 4.13921e12i | 1.42724 | − | 0.382428i | ||||
\(789\) | 3.45684e12 | + | 5.98742e12i | 0.317565 | + | 0.550038i | ||||
\(790\) | −1.08771e12 | − | 7.98879e11i | −0.0993556 | − | 0.0729725i | ||||
\(791\) | −3.99368e12 | + | 3.67962e12i | −0.362726 | + | 0.334202i | ||||
\(792\) | −6.59416e12 | + | 6.59416e12i | −0.595520 | + | 0.595520i | ||||
\(793\) | −6.25905e11 | + | 2.33591e12i | −0.0562055 | + | 0.209762i | ||||
\(794\) | 8.68597e11 | − | 1.50445e12i | 0.0775579 | − | 0.134334i | ||||
\(795\) | 1.82428e12 | − | 4.68008e12i | 0.161972 | − | 0.415529i | ||||
\(796\) | −3.61226e12 | + | 2.08554e12i | −0.318912 | + | 0.184124i | ||||
\(797\) | −1.26672e13 | − | 1.26672e13i | −1.11204 | − | 1.11204i | −0.992875 | − | 0.119162i | \(-0.961979\pi\) |
−0.119162 | − | 0.992875i | \(-0.538021\pi\) | |||||||
\(798\) | 6.52509e11 | + | 1.24515e12i | 0.0569605 | + | 0.108695i | ||||
\(799\) | − | 3.32976e12i | − | 0.289036i | ||||||
\(800\) | 8.89358e12 | − | 3.74078e11i | 0.767665 | − | 0.0322892i | ||||
\(801\) | −3.44235e12 | − | 1.98744e12i | −0.295467 | − | 0.170588i | ||||
\(802\) | 3.04267e11 | + | 1.13554e12i | 0.0259699 | + | 0.0969210i | ||||
\(803\) | −1.68022e13 | − | 4.50214e12i | −1.42609 | − | 0.382119i | ||||
\(804\) | −1.24098e12 | −0.104740 | ||||||||
\(805\) | −5.07009e12 | − | 1.29636e13i | −0.425534 | − | 1.08804i | ||||
\(806\) | −4.35204e12 | −0.363233 | ||||||||
\(807\) | 7.46988e11 | + | 2.00155e11i | 0.0619987 | + | 0.0166125i | ||||
\(808\) | −1.57002e12 | − | 5.85938e12i | −0.129585 | − | 0.483616i | ||||
\(809\) | −7.69845e12 | − | 4.44470e12i | −0.631880 | − | 0.364816i | 0.149600 | − | 0.988747i | \(-0.452202\pi\) |
−0.781480 | + | 0.623930i | \(0.785535\pi\) | |||||||
\(810\) | 1.78000e12 | + | 1.96379e11i | 0.145290 | + | 0.0160292i | ||||
\(811\) | 1.87779e13i | 1.52424i | 0.647435 | + | 0.762121i | \(0.275842\pi\) | ||||
−0.647435 | + | 0.762121i | \(0.724158\pi\) | |||||||
\(812\) | −8.24694e12 | − | 5.22231e12i | −0.665718 | − | 0.421561i | ||||
\(813\) | 1.50934e12 | + | 1.50934e12i | 0.121166 | + | 0.121166i | ||||
\(814\) | −8.52581e11 | + | 4.92238e11i | −0.0680653 | + | 0.0392975i | ||||
\(815\) | −4.03979e12 | + | 1.77370e12i | −0.320737 | + | 0.140822i | ||||
\(816\) | 2.72870e12 | − | 4.72625e12i | 0.215452 | − | 0.373174i | ||||
\(817\) | 2.12208e12 | − | 7.91970e12i | 0.166633 | − | 0.621884i | ||||
\(818\) | 1.80126e12 | − | 1.80126e12i | 0.140665 | − | 0.140665i | ||||
\(819\) | −8.43431e12 | − | 2.63405e12i | −0.655046 | − | 0.204572i | ||||
\(820\) | 4.98244e12 | − | 7.62801e11i | 0.384840 | − | 0.0589181i | ||||
\(821\) | 4.66957e12 | + | 8.08794e12i | 0.358701 | + | 0.621289i | 0.987744 | − | 0.156082i | \(-0.0498863\pi\) |
−0.629043 | + | 0.777371i | \(0.716553\pi\) | |||||||
\(822\) | 2.19680e12 | − | 5.88632e11i | 0.167829 | − | 0.0449698i | ||||
\(823\) | 1.30472e13 | − | 3.49600e12i | 0.991332 | − | 0.265627i | 0.273522 | − | 0.961866i | \(-0.411811\pi\) |
0.717810 | + | 0.696239i | \(0.245145\pi\) | |||||||
\(824\) | 5.36013e12 | + | 9.28401e12i | 0.405044 | + | 0.701557i | ||||
\(825\) | 4.75499e12 | − | 9.09875e12i | 0.357360 | − | 0.683815i | ||||
\(826\) | −1.76496e12 | − | 1.91560e12i | −0.131924 | − | 0.143184i | ||||
\(827\) | 1.44832e13 | − | 1.44832e13i | 1.07668 | − | 1.07668i | 0.0798805 | − | 0.996804i | \(-0.474546\pi\) |
0.996804 | − | 0.0798805i | \(-0.0254539\pi\) | |||||||
\(828\) | 3.10135e12 | − | 1.15744e13i | 0.229305 | − | 0.855779i | ||||
\(829\) | −1.25767e13 | + | 2.17835e13i | −0.924851 | + | 1.60189i | −0.133050 | + | 0.991109i | \(0.542477\pi\) |
−0.791801 | + | 0.610779i | \(0.790856\pi\) | |||||||
\(830\) | −5.29862e12 | − | 2.06539e12i | −0.387535 | − | 0.151060i | ||||
\(831\) | 5.87443e11 | − | 3.39161e11i | 0.0427328 | − | 0.0246718i | ||||
\(832\) | −4.37612e12 | − | 4.37612e12i | −0.316617 | − | 0.316617i | ||||
\(833\) | 1.86119e13 | − | 3.38658e12i | 1.33933 | − | 0.243702i | ||||
\(834\) | 1.94801e12i | 0.139426i | ||||||||
\(835\) | 2.34242e12 | − | 2.12318e13i | 0.166754 | − | 1.51147i | ||||
\(836\) | −2.13312e13 | − | 1.23156e13i | −1.51038 | − | 0.872019i | ||||
\(837\) | 4.26260e12 | + | 1.59083e13i | 0.300200 | + | 1.12036i | ||||
\(838\) | −7.30847e11 | − | 1.95830e11i | −0.0511951 | − | 0.0137177i | ||||
\(839\) | 2.35415e13 | 1.64024 | 0.820118 | − | 0.572195i | \(-0.193908\pi\) | ||||
0.820118 | + | 0.572195i | \(0.193908\pi\) | |||||||
\(840\) | −3.66542e11 | − | 3.28823e12i | −0.0254020 | − | 0.227880i | ||||
\(841\) | 3.81040e12 | 0.262657 | ||||||||
\(842\) | 5.79273e12 | + | 1.55216e12i | 0.397173 | + | 0.106422i | ||||
\(843\) | −1.03342e11 | − | 3.85679e11i | −0.00704782 | − | 0.0263028i | ||||
\(844\) | −9.37561e12 | − | 5.41301e12i | −0.636002 | − | 0.367196i | ||||
\(845\) | 3.59031e12 | − | 2.87682e12i | 0.242257 | − | 0.194114i | ||||
\(846\) | − | 7.50240e11i | − | 0.0503539i | ||||||
\(847\) | −3.22302e13 | + | 1.68899e13i | −2.15173 | + | 1.12759i | ||||
\(848\) | 8.65889e12 | + | 8.65889e12i | 0.575017 | + | 0.575017i | ||||
\(849\) | 6.04055e12 | − | 3.48751e12i | 0.399017 | − | 0.230373i | ||||
\(850\) | −1.29613e12 | + | 5.80260e12i | −0.0851653 | + | 0.381274i | ||||
\(851\) | 1.32175e12 | − | 2.28934e12i | 0.0863905 | − | 0.149633i | ||||
\(852\) | −1.97637e12 | + | 7.37593e12i | −0.128496 | + | 0.479555i | ||||
\(853\) | 1.53128e13 | − | 1.53128e13i | 0.990342 | − | 0.990342i | −0.00961185 | − | 0.999954i | \(-0.503060\pi\) |
0.999954 | + | 0.00961185i | \(0.00305959\pi\) | |||||||
\(854\) | −2.55594e11 | − | 1.13821e12i | −0.0164433 | − | 0.0732253i | ||||
\(855\) | 2.00566e12 | + | 1.31005e13i | 0.128354 | + | 0.838382i | ||||
\(856\) | −2.39284e12 | − | 4.14451e12i | −0.152328 | − | 0.263841i | ||||
\(857\) | 1.56156e13 | − | 4.18419e12i | 0.988884 | − | 0.264971i | 0.272103 | − | 0.962268i | \(-0.412281\pi\) |
0.716782 | + | 0.697297i | \(0.245614\pi\) | |||||||
\(858\) | 2.81933e12 | − | 7.55437e11i | 0.177604 | − | 0.0475889i | ||||
\(859\) | −1.13702e13 | − | 1.96938e13i | −0.712525 | − | 1.23413i | −0.963906 | − | 0.266241i | \(-0.914218\pi\) |
0.251381 | − | 0.967888i | \(-0.419115\pi\) | |||||||
\(860\) | −5.46625e12 | + | 7.44256e12i | −0.340759 | + | 0.463959i | ||||
\(861\) | −6.24550e11 | − | 2.78124e12i | −0.0387305 | − | 0.172474i | ||||
\(862\) | −2.80624e12 | + | 2.80624e12i | −0.173118 | + | 0.173118i | ||||
\(863\) | −5.82787e12 | + | 2.17499e13i | −0.357652 | + | 1.33478i | 0.519461 | + | 0.854494i | \(0.326133\pi\) |
−0.877114 | + | 0.480283i | \(0.840534\pi\) | |||||||
\(864\) | 4.78855e12 | − | 8.29401e12i | 0.292343 | − | 0.506352i | ||||
\(865\) | −1.66192e11 | − | 3.78519e11i | −0.0100934 | − | 0.0229887i | ||||
\(866\) | 2.91191e10 | − | 1.68119e10i | 0.00175933 | − | 0.00101575i | ||||
\(867\) | 4.18207e12 | + | 4.18207e12i | 0.251365 | + | 0.251365i | ||||
\(868\) | −2.07191e13 | + | 1.08576e13i | −1.23889 | + | 0.649225i | ||||
\(869\) | − | 1.33725e13i | − | 0.795471i | ||||||
\(870\) | −1.08488e12 | − | 1.35394e12i | −0.0642012 | − | 0.0801240i | ||||
\(871\) | −3.34634e12 | − | 1.93201e12i | −0.197010 | − | 0.113744i | ||||
\(872\) | −2.94831e11 | − | 1.10033e12i | −0.0172683 | − | 0.0644462i | ||||
\(873\) | −5.36493e12 | − | 1.43753e12i | −0.312608 | − | 0.0837630i | ||||
\(874\) | −5.93585e12 | −0.344098 | ||||||||
\(875\) | −6.98871e12 | − | 1.58687e13i | −0.403052 | − | 0.915177i | ||||
\(876\) | 5.31268e12 | 0.304821 | ||||||||
\(877\) | 5.35580e11 | + | 1.43508e11i | 0.0305722 | + | 0.00819179i | 0.274073 | − | 0.961709i | \(-0.411629\pi\) |
−0.243501 | + | 0.969901i | \(0.578296\pi\) | |||||||
\(878\) | −1.92974e12 | − | 7.20189e12i | −0.109591 | − | 0.408998i | ||||
\(879\) | −7.17103e12 | − | 4.14019e12i | −0.405164 | − | 0.233922i | ||||
\(880\) | 1.56499e13 | + | 1.95313e13i | 0.879711 | + | 1.09789i | ||||
\(881\) | − | 2.76382e13i | − | 1.54568i | −0.634603 | − | 0.772839i | \(-0.718836\pi\) | ||
0.634603 | − | 0.772839i | \(-0.281164\pi\) | |||||||
\(882\) | 4.19351e12 | − | 7.63041e11i | 0.233329 | − | 0.0424560i | ||||
\(883\) | −4.14609e12 | − | 4.14609e12i | −0.229518 | − | 0.229518i | 0.582974 | − | 0.812491i | \(-0.301889\pi\) |
−0.812491 | + | 0.582974i | \(0.801889\pi\) | |||||||
\(884\) | 1.63113e13 | − | 9.41734e12i | 0.898367 | − | 0.518672i | ||||
\(885\) | 2.07377e12 | + | 4.72322e12i | 0.113636 | + | 0.258818i | ||||
\(886\) | 1.59111e12 | − | 2.75588e12i | 0.0867456 | − | 0.150248i | ||||
\(887\) | 1.77130e12 | − | 6.61057e12i | 0.0960804 | − | 0.358577i | −0.901101 | − | 0.433610i | \(-0.857240\pi\) |
0.997181 | + | 0.0750330i | \(0.0239062\pi\) | |||||||
\(888\) | 4.44298e11 | − | 4.44298e11i | 0.0239782 | − | 0.0239782i | ||||
\(889\) | 1.02194e13 | + | 1.10916e13i | 0.548739 | + | 0.595573i | ||||
\(890\) | 1.31274e12 | − | 1.78735e12i | 0.0701330 | − | 0.0954895i | ||||
\(891\) | 8.87228e12 | + | 1.53672e13i | 0.471613 | + | 0.816858i | ||||
\(892\) | 1.99608e13 | − | 5.34849e12i | 1.05569 | − | 0.282872i | ||||
\(893\) | 3.99988e12 | − | 1.07177e12i | 0.210482 | − | 0.0563986i | ||||
\(894\) | 1.28823e12 | + | 2.23128e12i | 0.0674488 | + | 0.116825i | ||||
\(895\) | 1.13251e12 | + | 7.39727e12i | 0.0589979 | + | 0.385361i | ||||
\(896\) | 1.69989e13 | + | 5.30878e12i | 0.881117 | + | 0.275175i | ||||
\(897\) | −5.54193e12 | + | 5.54193e12i | −0.285821 | + | 0.285821i | ||||
\(898\) | −1.97676e12 | + | 7.37737e12i | −0.101440 | + | 0.378580i | ||||
\(899\) | −1.28165e13 | + | 2.21989e13i | −0.654413 | + | 1.13348i | ||||
\(900\) | 3.25394e12 | − | 1.45675e13i | 0.165317 | − | 0.740105i | ||||
\(901\) | −2.49632e13 | + | 1.44125e13i | −1.26194 | + | 0.728580i | ||||
\(902\) | −3.16959e12 | − | 3.16959e12i | −0.159431 | − | 0.159431i | ||||
\(903\) | 4.41196e12 | + | 2.79384e12i | 0.220819 | + | 0.139832i | ||||
\(904\) | − | 5.45019e12i | − | 0.271427i | ||||||
\(905\) | −2.60274e13 | + | 2.08551e13i | −1.28977 | + | 1.03346i | ||||
\(906\) | 3.58381e12 | + | 2.06912e12i | 0.176713 | + | 0.102025i | ||||
\(907\) | −6.33622e11 | − | 2.36471e12i | −0.0310883 | − | 0.116023i | 0.948638 | − | 0.316363i | \(-0.102462\pi\) |
−0.979726 | + | 0.200340i | \(0.935795\pi\) | |||||||
\(908\) | −1.20731e13 | − | 3.23498e12i | −0.589432 | − | 0.157938i | ||||
\(909\) | −1.54764e13 | −0.751851 | ||||||||
\(910\) | 1.97673e12 | − | 4.51607e12i | 0.0955565 | − | 0.218310i | ||||
\(911\) | −6.50713e12 | −0.313009 | −0.156505 | − | 0.987677i | \(-0.550023\pi\) | ||||
−0.156505 | + | 0.987677i | \(0.550023\pi\) | |||||||
\(912\) | 6.55572e12 | + | 1.75660e12i | 0.313793 | + | 0.0840806i | ||||
\(913\) | −1.45846e13 | − | 5.44303e13i | −0.694664 | − | 2.59252i | ||||
\(914\) | −3.53834e12 | − | 2.04286e12i | −0.167703 | − | 0.0968236i | ||||
\(915\) | −2.53343e11 | + | 2.29632e12i | −0.0119485 | + | 0.108302i | ||||
\(916\) | 2.91081e13i | 1.36611i | ||||||||
\(917\) | −3.67513e12 | − | 7.01309e12i | −0.171637 | − | 0.327527i | ||||
\(918\) | 4.52329e12 | + | 4.52329e12i | 0.210214 | + | 0.210214i | ||||
\(919\) | 1.31374e13 | − | 7.58490e12i | 0.607562 | − | 0.350776i | −0.164449 | − | 0.986386i | \(-0.552584\pi\) |
0.772011 | + | 0.635609i | \(0.219251\pi\) | |||||||
\(920\) | 1.30166e13 | + | 5.07386e12i | 0.599037 | + | 0.233503i | ||||
\(921\) | 3.35040e11 | − | 5.80306e11i | 0.0153436 | − | 0.0265759i | ||||
\(922\) | 1.13232e11 | − | 4.22588e11i | 0.00516037 | − | 0.0192588i | ||||
\(923\) | −1.68125e13 | + | 1.68125e13i | −0.762472 | + | 0.762472i | ||||
\(924\) | 1.15375e13 | − | 1.06302e13i | 0.520700 | − | 0.479753i | ||||
\(925\) | 1.52516e12 | − | 2.91843e12i | 0.0684982 | − | 0.131072i | ||||
\(926\) | −1.29608e12 | − | 2.24487e12i | −0.0579270 | − | 0.100333i | ||||
\(927\) | 2.64186e13 | − | 7.07885e12i | 1.17504 | − | 0.314850i | ||||
\(928\) | 1.43979e13 | − | 3.85791e12i | 0.637286 | − | 0.170760i | ||||
\(929\) | 1.98471e13 | + | 3.43762e13i | 0.874233 | + | 1.51422i | 0.857578 | + | 0.514354i | \(0.171968\pi\) |
0.0166544 | + | 0.999861i | \(0.494698\pi\) | |||||||
\(930\) | −4.10969e12 | + | 6.29184e11i | −0.180151 | + | 0.0275806i | ||||
\(931\) | 1.00588e13 | + | 2.12675e13i | 0.438807 | + | 0.927777i | ||||
\(932\) | −8.57722e12 | + | 8.57722e12i | −0.372370 | + | 0.372370i | ||||
\(933\) | 1.00317e11 | − | 3.74387e11i | 0.00433416 | − | 0.0161753i | ||||
\(934\) | 6.62632e11 | − | 1.14771e12i | 0.0284912 | − | 0.0493483i | ||||
\(935\) | −5.39431e13 | + | 2.36842e13i | −2.30826 | + | 1.01346i | ||||
\(936\) | 7.68015e12 | − | 4.43414e12i | 0.327061 | − | 0.188829i | ||||
\(937\) | −1.34462e13 | − | 1.34462e13i | −0.569863 | − | 0.569863i | 0.362227 | − | 0.932090i | \(-0.382016\pi\) |
−0.932090 | + | 0.362227i | \(0.882016\pi\) | |||||||
\(938\) | 1.86238e12 | + | 7.62239e10i | 0.0785517 | + | 0.00321498i | ||||
\(939\) | − | 2.97290e12i | − | 0.124791i | ||||||
\(940\) | −4.63568e12 | − | 5.11435e11i | −0.193659 | − | 0.0213656i | ||||
\(941\) | 2.17510e13 | + | 1.25579e13i | 0.904326 | + | 0.522113i | 0.878601 | − | 0.477556i | \(-0.158477\pi\) |
0.0257249 | + | 0.999669i | \(0.491811\pi\) | |||||||
\(942\) | 8.21165e10 | + | 3.06463e11i | 0.00339783 | + | 0.0126809i | ||||
\(943\) | 1.16261e13 | + | 3.11521e12i | 0.478776 | + | 0.128288i | ||||
\(944\) | −1.25755e13 | −0.515409 | ||||||||
\(945\) | −1.84439e13 | − | 2.80237e12i | −0.752334 | − | 0.114310i | ||||
\(946\) | 8.21196e12 | 0.333378 | ||||||||
\(947\) | −4.49201e13 | − | 1.20363e13i | −1.81495 | − | 0.486315i | −0.818811 | − | 0.574063i | \(-0.805366\pi\) |
−0.996143 | + | 0.0877476i | \(0.972033\pi\) | |||||||
\(948\) | 1.05706e12 | + | 3.94501e12i | 0.0425072 | + | 0.158639i | ||||
\(949\) | 1.43258e13 | + | 8.27099e12i | 0.573350 | + | 0.331024i | ||||
\(950\) | −7.38758e12 | + | 3.10733e11i | −0.294270 | + | 0.0123775i | ||||
\(951\) | 9.11546e12i | 0.361382i | ||||||||
\(952\) | −1.01577e13 | + | 1.60408e13i | −0.400802 | + | 0.632936i | ||||
\(953\) | 4.90434e12 | + | 4.90434e12i | 0.192603 | + | 0.192603i | 0.796820 | − | 0.604217i | \(-0.206514\pi\) |
−0.604217 | + | 0.796820i | \(0.706514\pi\) | |||||||
\(954\) | −5.62454e12 | + | 3.24733e12i | −0.219846 | + | 0.126928i | ||||
\(955\) | −1.41382e13 | + | 3.62707e13i | −0.550022 | + | 1.41104i | ||||
\(956\) | −2.83694e12 | + | 4.91372e12i | −0.109847 | + | 0.190261i | ||||
\(957\) | 4.44945e12 | − | 1.66056e13i | 0.171476 | − | 0.639956i | ||||
\(958\) | −2.56218e12 | + | 2.56218e12i | −0.0982798 | + | 0.0982798i | ||||
\(959\) | 3.71369e13 | − | 8.33940e12i | 1.41782 | − | 0.318384i | ||||
\(960\) | −4.76510e12 | − | 3.49977e12i | −0.181072 | − | 0.132990i | ||||
\(961\) | 1.74930e13 | + | 3.02988e13i | 0.661622 | + | 1.14596i | ||||
\(962\) | 9.04302e11 | − | 2.42307e11i | 0.0340428 | − | 0.00912175i | ||||
\(963\) | −1.17937e13 | + | 3.16010e12i | −0.441906 | + | 0.118408i | ||||
\(964\) | −1.55021e13 | − | 2.68505e13i | −0.578156 | − | 1.00140i | ||||
\(965\) | 1.60659e13 | + | 1.17998e13i | 0.596394 | + | 0.438027i | ||||
\(966\) | 1.12703e12 | − | 3.60877e12i | 0.0416426 | − | 0.133341i | ||||
\(967\) | −8.16941e12 | + | 8.16941e12i | −0.300450 | + | 0.300450i | −0.841190 | − | 0.540740i | \(-0.818144\pi\) |
0.540740 | + | 0.841190i | \(0.318144\pi\) | |||||||
\(968\) | 9.45215e12 | − | 3.52759e13i | 0.346012 | − | 1.29134i | ||||
\(969\) | −7.98800e12 | + | 1.38356e13i | −0.291059 | + | 0.504129i | ||||
\(970\) | 1.12541e12 | − | 2.88716e12i | 0.0408166 | − | 0.104712i | ||||
\(971\) | 1.42976e13 | − | 8.25474e12i | 0.516152 | − | 0.298000i | −0.219207 | − | 0.975678i | \(-0.570347\pi\) |
0.735359 | + | 0.677678i | \(0.237014\pi\) | |||||||
\(972\) | −1.75733e13 | − | 1.75733e13i | −0.631474 | − | 0.631474i | ||||
\(973\) | −1.33319e12 | + | 3.25739e13i | −0.0476854 | + | 1.16510i | ||||
\(974\) | − | 1.30673e13i | − | 0.465231i | ||||||
\(975\) | −6.60720e12 | + | 7.18743e12i | −0.234151 | + | 0.254714i | ||||
\(976\) | −4.87751e12 | − | 2.81603e12i | −0.172058 | − | 0.0993376i | ||||
\(977\) | 1.15642e13 | + | 4.31580e13i | 0.406058 | + | 1.51543i | 0.802096 | + | 0.597195i | \(0.203718\pi\) |
−0.396038 | + | 0.918234i | \(0.629615\pi\) | |||||||
\(978\) | −1.15749e12 | − | 3.10148e11i | −0.0404568 | − | 0.0108404i | ||||
\(979\) | 2.19740e13 | 0.764518 | ||||||||
\(980\) | −1.85609e12 | − | 2.64316e13i | −0.0642808 | − | 0.915389i | ||||
\(981\) | −2.90629e12 | −0.100191 | ||||||||
\(982\) | 5.43048e12 | + | 1.45509e12i | 0.186353 | + | 0.0499332i | ||||
\(983\) | −9.34229e12 | − | 3.48659e13i | −0.319126 | − | 1.19099i | −0.920086 | − | 0.391716i | \(-0.871882\pi\) |
0.600960 | − | 0.799279i | \(-0.294785\pi\) | |||||||
\(984\) | 2.47761e12 | + | 1.43045e12i | 0.0842471 | + | 0.0486401i | ||||
\(985\) | 4.72841e13 | + | 5.21665e12i | 1.60049 | + | 0.176575i | ||||
\(986\) | 9.95615e12i | 0.335464i | ||||||||
\(987\) | −1.07857e11 | + | 2.63527e12i | −0.00361760 | + | 0.0883889i | ||||
\(988\) | 1.65628e13 | + | 1.65628e13i | 0.553003 | + | 0.553003i | ||||
\(989\) | −1.90964e13 | + | 1.10253e13i | −0.634699 | + | 0.366444i | ||||
\(990\) | −1.21541e13 | + | 5.33636e12i | −0.402128 | + | 0.176558i | ||||
\(991\) | 1.04843e13 | − | 1.81594e13i | 0.345311 | − | 0.598096i | −0.640099 | − | 0.768292i | \(-0.721107\pi\) |
0.985410 | + | 0.170196i | \(0.0544402\pi\) | |||||||
\(992\) | 9.24489e12 | − | 3.45024e13i | 0.303109 | − | 1.13122i | ||||
\(993\) | −7.29457e12 | + | 7.29457e12i | −0.238083 | + | 0.238083i | ||||
\(994\) | 3.41905e12 | − | 1.09479e13i | 0.111088 | − | 0.355706i | ||||
\(995\) | −1.22642e13 | + | 1.87762e12i | −0.396675 | + | 0.0607301i | ||||
\(996\) | 8.60514e12 | + | 1.49045e13i | 0.277071 | + | 0.479901i | ||||
\(997\) | −2.68293e13 | + | 7.18889e12i | −0.859966 | + | 0.230427i | −0.661744 | − | 0.749730i | \(-0.730183\pi\) |
−0.198222 | + | 0.980157i | \(0.563517\pi\) | |||||||
\(998\) | −3.91033e12 | + | 1.04777e12i | −0.124775 | + | 0.0334333i | ||||
\(999\) | −1.77144e12 | − | 3.06822e12i | −0.0562705 | − | 0.0974634i |
(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 | 35.10.k.a.3.15 | ✓ | 136 | |
5.2 | odd | 4 | inner | 35.10.k.a.17.20 | yes | 136 | |
7.5 | odd | 6 | inner | 35.10.k.a.33.20 | yes | 136 | |
35.12 | even | 12 | inner | 35.10.k.a.12.15 | yes | 136 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
35.10.k.a.3.15 | ✓ | 136 | 1.1 | even | 1 | trivial | |
35.10.k.a.12.15 | yes | 136 | 35.12 | even | 12 | inner | |
35.10.k.a.17.20 | yes | 136 | 5.2 | odd | 4 | inner | |
35.10.k.a.33.20 | yes | 136 | 7.5 | odd | 6 | inner |