Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [14,10,Mod(9,14)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(14, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("14.9");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 14 = 2 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 14.c (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.21050170629\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{6} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{5} + 1116x^{4} - 3085x^{3} + 1245325x^{2} - 2341500x + 4410000 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{6}\cdot 3\cdot 7^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 9.3 | ||
Root | \(-16.9063 + 29.2826i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 14.9 |
Dual form | 14.10.c.a.11.3 |
$q$-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 \(\left(\mathbb{Z}/14\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −8.00000 | + | 13.8564i | −0.353553 | + | 0.612372i | ||||
\(3\) | 11.9224 | + | 20.6501i | 0.0849799 | + | 0.147190i | 0.905383 | − | 0.424597i | \(-0.139584\pi\) |
−0.820403 | + | 0.571786i | \(0.806251\pi\) | |||||||
\(4\) | −128.000 | − | 221.703i | −0.250000 | − | 0.433013i | ||||
\(5\) | −541.184 | + | 937.358i | −0.387239 | + | 0.670718i | −0.992077 | − | 0.125630i | \(-0.959905\pi\) |
0.604838 | + | 0.796349i | \(0.293238\pi\) | |||||||
\(6\) | −381.515 | −0.120180 | ||||||||
\(7\) | −5624.74 | − | 2952.27i | −0.885444 | − | 0.464745i | ||||
\(8\) | 4096.00 | 0.353553 | ||||||||
\(9\) | 9557.22 | − | 16553.6i | 0.485557 | − | 0.841009i | ||||
\(10\) | −8658.94 | − | 14997.7i | −0.273820 | − | 0.474270i | ||||
\(11\) | −37454.4 | − | 64872.9i | −0.771322 | − | 1.33597i | −0.936839 | − | 0.349762i | \(-0.886263\pi\) |
0.165517 | − | 0.986207i | \(-0.447071\pi\) | |||||||
\(12\) | 3052.12 | − | 5286.43i | 0.0424900 | − | 0.0735948i | ||||
\(13\) | −50060.6 | −0.486128 | −0.243064 | − | 0.970010i | \(-0.578153\pi\) | ||||
−0.243064 | + | 0.970010i | \(0.578153\pi\) | |||||||
\(14\) | 85905.8 | − | 54320.5i | 0.597649 | − | 0.377910i | ||||
\(15\) | −25808.7 | −0.131630 | ||||||||
\(16\) | −32768.0 | + | 56755.8i | −0.125000 | + | 0.216506i | ||||
\(17\) | −59482.6 | − | 103027.i | −0.172731 | − | 0.299179i | 0.766643 | − | 0.642074i | \(-0.221926\pi\) |
−0.939374 | + | 0.342895i | \(0.888592\pi\) | |||||||
\(18\) | 152915. | + | 264857.i | 0.343341 | + | 0.594683i | ||||
\(19\) | −402181. | + | 696599.i | −0.707996 | + | 1.22629i | 0.257603 | + | 0.966251i | \(0.417067\pi\) |
−0.965599 | + | 0.260034i | \(0.916266\pi\) | |||||||
\(20\) | 277086. | 0.387239 | ||||||||
\(21\) | −6095.40 | − | 151350.i | −0.00683936 | − | 0.169822i | ||||
\(22\) | 1.19854e6 | 1.09081 | ||||||||
\(23\) | −134394. | + | 232777.i | −0.100139 | + | 0.173447i | −0.911742 | − | 0.410763i | \(-0.865262\pi\) |
0.811603 | + | 0.584210i | \(0.198596\pi\) | |||||||
\(24\) | 48834.0 | + | 84582.9i | 0.0300449 | + | 0.0520394i | ||||
\(25\) | 390803. | + | 676891.i | 0.200091 | + | 0.346568i | ||||
\(26\) | 400485. | − | 693660.i | 0.171872 | − | 0.297691i | ||||
\(27\) | 925113. | 0.335010 | ||||||||
\(28\) | 65441.0 | + | 1.62491e6i | 0.0201205 | + | 0.499595i | ||||
\(29\) | −5.29735e6 | −1.39081 | −0.695405 | − | 0.718618i | \(-0.744775\pi\) | ||||
−0.695405 | + | 0.718618i | \(0.744775\pi\) | |||||||
\(30\) | 206470. | − | 357616.i | 0.0465383 | − | 0.0806068i | ||||
\(31\) | −2.73293e6 | − | 4.73357e6i | −0.531497 | − | 0.920579i | −0.999324 | − | 0.0367596i | \(-0.988296\pi\) |
0.467827 | − | 0.883820i | \(-0.345037\pi\) | |||||||
\(32\) | −524288. | − | 908093.i | −0.0883883 | − | 0.153093i | ||||
\(33\) | 893089. | − | 1.54688e6i | 0.131094 | − | 0.227061i | ||||
\(34\) | 1.90344e6 | 0.244278 | ||||||||
\(35\) | 5.81135e6 | − | 3.67467e6i | 0.654592 | − | 0.413916i | ||||
\(36\) | −4.89329e6 | −0.485557 | ||||||||
\(37\) | −1.55446e6 | + | 2.69240e6i | −0.136355 | + | 0.236174i | −0.926114 | − | 0.377243i | \(-0.876872\pi\) |
0.789759 | + | 0.613417i | \(0.210206\pi\) | |||||||
\(38\) | −6.43490e6 | − | 1.11456e7i | −0.500629 | − | 0.867115i | ||||
\(39\) | −596840. | − | 1.03376e6i | −0.0413111 | − | 0.0715530i | ||||
\(40\) | −2.21669e6 | + | 3.83942e6i | −0.136910 | + | 0.237135i | ||||
\(41\) | 2.07841e7 | 1.14869 | 0.574345 | − | 0.818613i | \(-0.305257\pi\) | ||||
0.574345 | + | 0.818613i | \(0.305257\pi\) | |||||||
\(42\) | 2.14592e6 | + | 1.12634e6i | 0.106412 | + | 0.0558530i | ||||
\(43\) | 4.76437e6 | 0.212519 | 0.106259 | − | 0.994338i | \(-0.466113\pi\) | ||||
0.106259 | + | 0.994338i | \(0.466113\pi\) | |||||||
\(44\) | −9.58832e6 | + | 1.66075e7i | −0.385661 | + | 0.667984i | ||||
\(45\) | 1.03444e7 | + | 1.79171e7i | 0.376054 | + | 0.651344i | ||||
\(46\) | −2.15031e6 | − | 3.72444e6i | −0.0708093 | − | 0.122645i | ||||
\(47\) | −1.50766e7 | + | 2.61135e7i | −0.450675 | + | 0.780592i | −0.998428 | − | 0.0560482i | \(-0.982150\pi\) |
0.547753 | + | 0.836640i | \(0.315483\pi\) | |||||||
\(48\) | −1.56269e6 | −0.0424900 | ||||||||
\(49\) | 2.29218e7 | + | 3.32115e7i | 0.568024 | + | 0.823012i | ||||
\(50\) | −1.25057e7 | −0.282972 | ||||||||
\(51\) | 1.41835e6 | − | 2.45665e6i | 0.0293573 | − | 0.0508483i | ||||
\(52\) | 6.40775e6 | + | 1.10986e7i | 0.121532 | + | 0.210500i | ||||
\(53\) | −2.85871e7 | − | 4.95142e7i | −0.497655 | − | 0.861963i | 0.502342 | − | 0.864669i | \(-0.332472\pi\) |
−0.999996 | + | 0.00270617i | \(0.999139\pi\) | |||||||
\(54\) | −7.40091e6 | + | 1.28187e7i | −0.118444 | + | 0.205151i | ||||
\(55\) | 8.10788e7 | 1.19475 | ||||||||
\(56\) | −2.30389e7 | − | 1.20925e7i | −0.313052 | − | 0.164312i | ||||
\(57\) | −1.91798e7 | −0.240662 | ||||||||
\(58\) | 4.23788e7 | − | 7.34023e7i | 0.491726 | − | 0.851694i | ||||
\(59\) | −9.18379e7 | − | 1.59068e8i | −0.986706 | − | 1.70902i | −0.634097 | − | 0.773254i | \(-0.718628\pi\) |
−0.352609 | − | 0.935771i | \(-0.614705\pi\) | |||||||
\(60\) | 3.30352e6 | + | 5.72186e6i | 0.0329076 | + | 0.0569976i | ||||
\(61\) | −2.65083e7 | + | 4.59138e7i | −0.245131 | + | 0.424579i | −0.962168 | − | 0.272455i | \(-0.912164\pi\) |
0.717038 | + | 0.697035i | \(0.245498\pi\) | |||||||
\(62\) | 8.74537e7 | 0.751650 | ||||||||
\(63\) | −1.02628e8 | + | 6.48941e7i | −0.820789 | + | 0.519007i | ||||
\(64\) | 1.67772e7 | 0.125000 | ||||||||
\(65\) | 2.70920e7 | − | 4.69247e7i | 0.188248 | − | 0.326055i | ||||
\(66\) | 1.42894e7 | + | 2.47500e7i | 0.0926973 | + | 0.160556i | ||||
\(67\) | −8.67433e7 | − | 1.50244e8i | −0.525896 | − | 0.910878i | −0.999545 | − | 0.0301643i | \(-0.990397\pi\) |
0.473649 | − | 0.880713i | \(-0.342936\pi\) | |||||||
\(68\) | −1.52275e7 | + | 2.63749e7i | −0.0863654 | + | 0.149589i | ||||
\(69\) | −6.40918e6 | −0.0340394 | ||||||||
\(70\) | 4.42695e6 | + | 1.09922e8i | 0.0220376 | + | 0.547196i | ||||
\(71\) | −1.68342e8 | −0.786195 | −0.393097 | − | 0.919497i | \(-0.628596\pi\) | ||||
−0.393097 | + | 0.919497i | \(0.628596\pi\) | |||||||
\(72\) | 3.91464e7 | − | 6.78035e7i | 0.171670 | − | 0.297342i | ||||
\(73\) | 2.32340e8 | + | 4.02424e8i | 0.957570 | + | 1.65856i | 0.728375 | + | 0.685179i | \(0.240276\pi\) |
0.229195 | + | 0.973381i | \(0.426391\pi\) | |||||||
\(74\) | −2.48714e7 | − | 4.30785e7i | −0.0964177 | − | 0.167000i | ||||
\(75\) | −9.31858e6 | + | 1.61403e7i | −0.0340075 | + | 0.0589026i | ||||
\(76\) | 2.05917e8 | 0.707996 | ||||||||
\(77\) | 1.91489e7 | + | 4.75469e8i | 0.0620776 | + | 1.54139i | ||||
\(78\) | 1.90989e7 | 0.0584228 | ||||||||
\(79\) | 2.06864e8 | − | 3.58299e8i | 0.597535 | − | 1.03496i | −0.395649 | − | 0.918402i | \(-0.629480\pi\) |
0.993184 | − | 0.116559i | \(-0.0371863\pi\) | |||||||
\(80\) | −3.54670e7 | − | 6.14307e7i | −0.0968099 | − | 0.167680i | ||||
\(81\) | −1.77085e8 | − | 3.06720e8i | −0.457088 | − | 0.791699i | ||||
\(82\) | −1.66272e8 | + | 2.87992e8i | −0.406123 | + | 0.703426i | ||||
\(83\) | 3.50584e8 | 0.810850 | 0.405425 | − | 0.914128i | \(-0.367124\pi\) | ||||
0.405425 | + | 0.914128i | \(0.367124\pi\) | |||||||
\(84\) | −3.27744e7 | + | 2.07241e7i | −0.0718253 | + | 0.0454171i | ||||
\(85\) | 1.28764e8 | 0.267553 | ||||||||
\(86\) | −3.81150e7 | + | 6.60171e7i | −0.0751368 | + | 0.130141i | ||||
\(87\) | −6.31569e7 | − | 1.09391e8i | −0.118191 | − | 0.204713i | ||||
\(88\) | −1.53413e8 | − | 2.65719e8i | −0.272703 | − | 0.472336i | ||||
\(89\) | −2.58736e8 | + | 4.48144e8i | −0.437122 | + | 0.757117i | −0.997466 | − | 0.0711428i | \(-0.977335\pi\) |
0.560345 | + | 0.828260i | \(0.310669\pi\) | |||||||
\(90\) | −3.31021e8 | −0.531820 | ||||||||
\(91\) | 2.81578e8 | + | 1.47792e8i | 0.430439 | + | 0.225926i | ||||
\(92\) | 6.88098e7 | 0.100139 | ||||||||
\(93\) | 6.51659e7 | − | 1.12871e8i | 0.0903331 | − | 0.156462i | ||||
\(94\) | −2.41226e8 | − | 4.17815e8i | −0.318675 | − | 0.551962i | ||||
\(95\) | −4.35308e8 | − | 7.53976e8i | −0.548328 | − | 0.949732i | ||||
\(96\) | 1.25015e7 | − | 2.16532e7i | 0.0150225 | − | 0.0260197i | ||||
\(97\) | 1.32529e9 | 1.51998 | 0.759990 | − | 0.649935i | \(-0.225204\pi\) | ||||
0.759990 | + | 0.649935i | \(0.225204\pi\) | |||||||
\(98\) | −6.43567e8 | + | 5.19218e7i | −0.704817 | + | 0.0568633i | ||||
\(99\) | −1.43184e9 | −1.49808 | ||||||||
\(100\) | 1.00046e8 | − | 1.73284e8i | 0.100046 | − | 0.173284i | ||||
\(101\) | −3.16581e7 | − | 5.48335e7i | −0.0302718 | − | 0.0524324i | 0.850493 | − | 0.525987i | \(-0.176304\pi\) |
−0.880764 | + | 0.473555i | \(0.842971\pi\) | |||||||
\(102\) | 2.26935e7 | + | 3.93063e7i | 0.0207588 | + | 0.0359552i | ||||
\(103\) | 5.64570e8 | − | 9.77863e8i | 0.494254 | − | 0.856073i | −0.505724 | − | 0.862695i | \(-0.668775\pi\) |
0.999978 | + | 0.00662253i | \(0.00210803\pi\) | |||||||
\(104\) | −2.05048e8 | −0.171872 | ||||||||
\(105\) | 1.45167e8 | + | 7.61943e7i | 0.116551 | + | 0.0611746i | ||||
\(106\) | 9.14786e8 | 0.703790 | ||||||||
\(107\) | −9.23383e7 | + | 1.59935e8i | −0.0681012 | + | 0.117955i | −0.898065 | − | 0.439862i | \(-0.855027\pi\) |
0.829964 | + | 0.557817i | \(0.188361\pi\) | |||||||
\(108\) | −1.18414e8 | − | 2.05100e8i | −0.0837525 | − | 0.145064i | ||||
\(109\) | 6.03407e8 | + | 1.04513e9i | 0.409441 | + | 0.709172i | 0.994827 | − | 0.101582i | \(-0.0323905\pi\) |
−0.585386 | + | 0.810754i | \(0.699057\pi\) | |||||||
\(110\) | −6.48630e8 | + | 1.12346e9i | −0.422406 | + | 0.731629i | ||||
\(111\) | −7.41313e7 | −0.0463498 | ||||||||
\(112\) | 3.51870e8 | − | 2.22497e8i | 0.211301 | − | 0.133611i | ||||
\(113\) | 3.17054e8 | 0.182928 | 0.0914639 | − | 0.995808i | \(-0.470845\pi\) | ||||
0.0914639 | + | 0.995808i | \(0.470845\pi\) | |||||||
\(114\) | 1.53438e8 | − | 2.65763e8i | 0.0850868 | − | 0.147375i | ||||
\(115\) | −1.45464e8 | − | 2.51951e8i | −0.0775559 | − | 0.134331i | ||||
\(116\) | 6.78061e8 | + | 1.17444e9i | 0.347703 | + | 0.602238i | ||||
\(117\) | −4.78440e8 | + | 8.28682e8i | −0.236043 | + | 0.408838i | ||||
\(118\) | 2.93881e9 | 1.39541 | ||||||||
\(119\) | 3.04110e7 | + | 7.55108e8i | 0.0139017 | + | 0.345182i | ||||
\(120\) | −1.05713e8 | −0.0465383 | ||||||||
\(121\) | −1.62669e9 | + | 2.81751e9i | −0.689875 | + | 1.19490i | ||||
\(122\) | −4.24133e8 | − | 7.34620e8i | −0.173334 | − | 0.300223i | ||||
\(123\) | 2.47795e8 | + | 4.29193e8i | 0.0976156 | + | 0.169075i | ||||
\(124\) | −6.99630e8 | + | 1.21179e9i | −0.265748 | + | 0.460290i | ||||
\(125\) | −2.95998e9 | −1.08441 | ||||||||
\(126\) | −7.81793e7 | − | 1.94120e9i | −0.0276327 | − | 0.686125i | ||||
\(127\) | −1.91107e9 | −0.651868 | −0.325934 | − | 0.945392i | \(-0.605679\pi\) | ||||
−0.325934 | + | 0.945392i | \(0.605679\pi\) | |||||||
\(128\) | −1.34218e8 | + | 2.32472e8i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | 5.68025e7 | + | 9.83848e7i | 0.0180598 | + | 0.0312806i | ||||
\(130\) | 4.33471e8 | + | 7.50795e8i | 0.133111 | + | 0.230556i | ||||
\(131\) | 3.02645e9 | − | 5.24197e9i | 0.897869 | − | 1.55516i | 0.0676566 | − | 0.997709i | \(-0.478448\pi\) |
0.830213 | − | 0.557447i | \(-0.188219\pi\) | |||||||
\(132\) | −4.57261e8 | −0.131094 | ||||||||
\(133\) | 4.31871e9 | − | 2.73084e9i | 1.19680 | − | 0.756770i | ||||
\(134\) | 2.77579e9 | 0.743729 | ||||||||
\(135\) | −5.00656e8 | + | 8.67162e8i | −0.129729 | + | 0.224698i | ||||
\(136\) | −2.43641e8 | − | 4.21998e8i | −0.0610696 | − | 0.105776i | ||||
\(137\) | −2.49781e9 | − | 4.32634e9i | −0.605783 | − | 1.04925i | −0.991927 | − | 0.126809i | \(-0.959527\pi\) |
0.386144 | − | 0.922438i | \(-0.373807\pi\) | |||||||
\(138\) | 5.12734e7 | − | 8.88082e7i | 0.0120347 | − | 0.0208448i | ||||
\(139\) | −5.39864e9 | −1.22664 | −0.613321 | − | 0.789834i | \(-0.710167\pi\) | ||||
−0.613321 | + | 0.789834i | \(0.710167\pi\) | |||||||
\(140\) | −1.55854e9 | − | 8.18033e8i | −0.342879 | − | 0.179968i | ||||
\(141\) | −7.18995e8 | −0.153193 | ||||||||
\(142\) | 1.34674e9 | − | 2.33262e9i | 0.277962 | − | 0.481444i | ||||
\(143\) | 1.87499e9 | + | 3.24758e9i | 0.374961 | + | 0.649452i | ||||
\(144\) | 6.26342e8 | + | 1.08486e9i | 0.121389 | + | 0.210252i | ||||
\(145\) | 2.86684e9 | − | 4.96551e9i | 0.538577 | − | 0.932842i | ||||
\(146\) | −7.43487e9 | −1.35421 | ||||||||
\(147\) | −4.12540e8 | + | 8.69297e8i | −0.0728682 | + | 0.153547i | ||||
\(148\) | 7.95883e8 | 0.136355 | ||||||||
\(149\) | −3.12472e8 | + | 5.41218e8i | −0.0519366 | + | 0.0899568i | −0.890825 | − | 0.454347i | \(-0.849873\pi\) |
0.838888 | + | 0.544304i | \(0.183206\pi\) | |||||||
\(150\) | −1.49097e8 | − | 2.58244e8i | −0.0240469 | − | 0.0416505i | ||||
\(151\) | 5.50838e9 | + | 9.54079e9i | 0.862238 | + | 1.49344i | 0.869763 | + | 0.493469i | \(0.164271\pi\) |
−0.00752500 | + | 0.999972i | \(0.502395\pi\) | |||||||
\(152\) | −1.64734e9 | + | 2.85327e9i | −0.250314 | + | 0.433557i | ||||
\(153\) | −2.27395e9 | −0.335483 | ||||||||
\(154\) | −6.74148e9 | − | 3.53842e9i | −0.965855 | − | 0.506951i | ||||
\(155\) | 5.91606e9 | 0.823266 | ||||||||
\(156\) | −1.52791e8 | + | 2.64642e8i | −0.0206556 | + | 0.0357765i | ||||
\(157\) | 3.40159e9 | + | 5.89172e9i | 0.446821 | + | 0.773916i | 0.998177 | − | 0.0603538i | \(-0.0192229\pi\) |
−0.551356 | + | 0.834270i | \(0.685890\pi\) | |||||||
\(158\) | 3.30982e9 | + | 5.73278e9i | 0.422521 | + | 0.731828i | ||||
\(159\) | 6.81650e8 | − | 1.18065e9i | 0.0845813 | − | 0.146499i | ||||
\(160\) | 1.13494e9 | 0.136910 | ||||||||
\(161\) | 1.44315e9 | − | 9.12545e8i | 0.169276 | − | 0.107038i | ||||
\(162\) | 5.66672e9 | 0.646420 | ||||||||
\(163\) | −1.03329e9 | + | 1.78972e9i | −0.114651 | + | 0.198582i | −0.917640 | − | 0.397412i | \(-0.869908\pi\) |
0.802989 | + | 0.595994i | \(0.203242\pi\) | |||||||
\(164\) | −2.66036e9 | − | 4.60788e9i | −0.287173 | − | 0.497397i | ||||
\(165\) | 9.66650e8 | + | 1.67429e9i | 0.101529 | + | 0.175854i | ||||
\(166\) | −2.80467e9 | + | 4.85783e9i | −0.286679 | + | 0.496542i | ||||
\(167\) | −6.75774e8 | −0.0672322 | −0.0336161 | − | 0.999435i | \(-0.510702\pi\) | ||||
−0.0336161 | + | 0.999435i | \(0.510702\pi\) | |||||||
\(168\) | −2.49668e7 | − | 6.19928e8i | −0.00241808 | − | 0.0600412i | ||||
\(169\) | −8.09844e9 | −0.763679 | ||||||||
\(170\) | −1.03011e9 | + | 1.78421e9i | −0.0945942 | + | 0.163842i | ||||
\(171\) | 7.68747e9 | + | 1.33151e10i | 0.687545 | + | 1.19086i | ||||
\(172\) | −6.09839e8 | − | 1.05627e9i | −0.0531297 | − | 0.0920234i | ||||
\(173\) | 9.72079e9 | − | 1.68369e10i | 0.825076 | − | 1.42907i | −0.0767850 | − | 0.997048i | \(-0.524466\pi\) |
0.901861 | − | 0.432026i | \(-0.142201\pi\) | |||||||
\(174\) | 2.02102e9 | 0.167147 | ||||||||
\(175\) | −1.99801e8 | − | 4.96109e9i | −0.0161037 | − | 0.399858i | ||||
\(176\) | 4.90922e9 | 0.385661 | ||||||||
\(177\) | 2.18985e9 | − | 3.79293e9i | 0.167700 | − | 0.290466i | ||||
\(178\) | −4.13978e9 | − | 7.17031e9i | −0.309092 | − | 0.535362i | ||||
\(179\) | −2.04825e9 | − | 3.54767e9i | −0.149123 | − | 0.258288i | 0.781781 | − | 0.623553i | \(-0.214312\pi\) |
−0.930903 | + | 0.365265i | \(0.880978\pi\) | |||||||
\(180\) | 2.64817e9 | − | 4.58677e9i | 0.188027 | − | 0.325672i | ||||
\(181\) | −2.41926e10 | −1.67544 | −0.837720 | − | 0.546101i | \(-0.816112\pi\) | ||||
−0.837720 | + | 0.546101i | \(0.816112\pi\) | |||||||
\(182\) | −4.30049e9 | + | 2.71932e9i | −0.290534 | + | 0.183712i | ||||
\(183\) | −1.26417e9 | −0.0833248 | ||||||||
\(184\) | −5.50478e8 | + | 9.53457e8i | −0.0354046 | + | 0.0613226i | ||||
\(185\) | −1.68250e9 | − | 2.91417e9i | −0.105604 | − | 0.182912i | ||||
\(186\) | 1.04265e9 | + | 1.80593e9i | 0.0638752 | + | 0.110635i | ||||
\(187\) | −4.45577e9 | + | 7.71762e9i | −0.266462 | + | 0.461526i | ||||
\(188\) | 7.71922e9 | 0.450675 | ||||||||
\(189\) | −5.20352e9 | − | 2.73118e9i | −0.296633 | − | 0.155694i | ||||
\(190\) | 1.39299e10 | 0.775453 | ||||||||
\(191\) | −2.90999e9 | + | 5.04025e9i | −0.158213 | + | 0.274033i | −0.934224 | − | 0.356686i | \(-0.883907\pi\) |
0.776011 | + | 0.630719i | \(0.217240\pi\) | |||||||
\(192\) | 2.00024e8 | + | 3.46452e8i | 0.0106225 | + | 0.0183987i | ||||
\(193\) | −1.19292e10 | − | 2.06619e10i | −0.618874 | − | 1.07192i | −0.989692 | − | 0.143215i | \(-0.954256\pi\) |
0.370818 | − | 0.928706i | \(-0.379077\pi\) | |||||||
\(194\) | −1.06023e10 | + | 1.83637e10i | −0.537394 | + | 0.930794i | ||||
\(195\) | 1.29200e9 | 0.0639892 | ||||||||
\(196\) | 4.42908e9 | − | 9.33289e9i | 0.214369 | − | 0.451715i | ||||
\(197\) | −1.13267e10 | −0.535802 | −0.267901 | − | 0.963446i | \(-0.586330\pi\) | ||||
−0.267901 | + | 0.963446i | \(0.586330\pi\) | |||||||
\(198\) | 1.14547e10 | − | 1.98401e10i | 0.529652 | − | 0.917384i | ||||
\(199\) | −8.76433e9 | − | 1.51803e10i | −0.396168 | − | 0.686184i | 0.597081 | − | 0.802181i | \(-0.296327\pi\) |
−0.993250 | + | 0.115997i | \(0.962994\pi\) | |||||||
\(200\) | 1.60073e9 | + | 2.77254e9i | 0.0707429 | + | 0.122530i | ||||
\(201\) | 2.06837e9 | − | 3.58252e9i | 0.0893811 | − | 0.154813i | ||||
\(202\) | 1.01306e9 | 0.0428108 | ||||||||
\(203\) | 2.97962e10 | + | 1.56392e10i | 1.23149 | + | 0.646372i | ||||
\(204\) | −7.26193e8 | −0.0293573 | ||||||||
\(205\) | −1.12480e10 | + | 1.94821e10i | −0.444818 | + | 0.770448i | ||||
\(206\) | 9.03311e9 | + | 1.56458e10i | 0.349490 | + | 0.605335i | ||||
\(207\) | 2.56887e9 | + | 4.44941e9i | 0.0972468 | + | 0.168436i | ||||
\(208\) | 1.64039e9 | − | 2.84123e9i | 0.0607660 | − | 0.105250i | ||||
\(209\) | 6.02538e10 | 2.18437 | ||||||||
\(210\) | −2.21712e9 | + | 1.40194e9i | −0.0786687 | + | 0.0497444i | ||||
\(211\) | −3.12620e10 | −1.08579 | −0.542895 | − | 0.839801i | \(-0.682672\pi\) | ||||
−0.542895 | + | 0.839801i | \(0.682672\pi\) | |||||||
\(212\) | −7.31829e9 | + | 1.26756e10i | −0.248827 | + | 0.430981i | ||||
\(213\) | −2.00703e9 | − | 3.47628e9i | −0.0668108 | − | 0.115720i | ||||
\(214\) | −1.47741e9 | − | 2.55895e9i | −0.0481548 | − | 0.0834066i | ||||
\(215\) | −2.57840e9 | + | 4.46592e9i | −0.0822957 | + | 0.142540i | ||||
\(216\) | 3.78926e9 | 0.118444 | ||||||||
\(217\) | 1.39723e9 | + | 3.46935e10i | 0.0427759 | + | 1.06213i | ||||
\(218\) | −1.93090e10 | −0.579037 | ||||||||
\(219\) | −5.54007e9 | + | 9.59568e9i | −0.162748 | + | 0.281889i | ||||
\(220\) | −1.03781e10 | − | 1.79754e10i | −0.298686 | − | 0.517340i | ||||
\(221\) | 2.97773e9 | + | 5.15759e9i | 0.0839693 | + | 0.145439i | ||||
\(222\) | 5.93050e8 | − | 1.02719e9i | 0.0163871 | − | 0.0283834i | ||||
\(223\) | 2.74321e10 | 0.742825 | 0.371413 | − | 0.928468i | \(-0.378873\pi\) | ||||
0.371413 | + | 0.928468i | \(0.378873\pi\) | |||||||
\(224\) | 2.68046e8 | + | 6.65563e9i | 0.00711368 | + | 0.176634i | ||||
\(225\) | 1.49400e10 | 0.388622 | ||||||||
\(226\) | −2.53643e9 | + | 4.39323e9i | −0.0646748 | + | 0.112020i | ||||
\(227\) | −5.78305e9 | − | 1.00165e10i | −0.144557 | − | 0.250381i | 0.784650 | − | 0.619939i | \(-0.212843\pi\) |
−0.929208 | + | 0.369558i | \(0.879509\pi\) | |||||||
\(228\) | 2.45501e9 | + | 4.25221e9i | 0.0601654 | + | 0.104210i | ||||
\(229\) | −2.11891e10 | + | 3.67007e10i | −0.509159 | + | 0.881890i | 0.490785 | + | 0.871281i | \(0.336710\pi\) |
−0.999944 | + | 0.0106087i | \(0.996623\pi\) | |||||||
\(230\) | 4.65484e9 | 0.109681 | ||||||||
\(231\) | −9.59019e9 | + | 6.06413e9i | −0.221602 | + | 0.140125i | ||||
\(232\) | −2.16980e10 | −0.491726 | ||||||||
\(233\) | 4.26184e10 | − | 7.38173e10i | 0.947318 | − | 1.64080i | 0.196276 | − | 0.980549i | \(-0.437115\pi\) |
0.751042 | − | 0.660254i | \(-0.229552\pi\) | |||||||
\(234\) | −7.65504e9 | − | 1.32589e10i | −0.166908 | − | 0.289092i | ||||
\(235\) | −1.63184e10 | − | 2.82643e10i | −0.349038 | − | 0.604552i | ||||
\(236\) | −2.35105e10 | + | 4.07214e10i | −0.493353 | + | 0.854512i | ||||
\(237\) | 9.86522e9 | 0.203114 | ||||||||
\(238\) | −1.07064e10 | − | 5.61948e9i | −0.216295 | − | 0.113527i | ||||
\(239\) | 1.81331e10 | 0.359486 | 0.179743 | − | 0.983714i | \(-0.442473\pi\) | ||||
0.179743 | + | 0.983714i | \(0.442473\pi\) | |||||||
\(240\) | 8.45700e8 | − | 1.46480e9i | 0.0164538 | − | 0.0284988i | ||||
\(241\) | −1.24598e10 | − | 2.15810e10i | −0.237921 | − | 0.412092i | 0.722196 | − | 0.691688i | \(-0.243133\pi\) |
−0.960118 | + | 0.279596i | \(0.909799\pi\) | |||||||
\(242\) | −2.60270e10 | − | 4.50801e10i | −0.487815 | − | 0.844921i | ||||
\(243\) | 1.33270e10 | − | 2.30831e10i | 0.245192 | − | 0.424684i | ||||
\(244\) | 1.35723e10 | 0.245131 | ||||||||
\(245\) | −4.35360e10 | + | 3.51240e9i | −0.771971 | + | 0.0622812i | ||||
\(246\) | −7.92943e9 | −0.138049 | ||||||||
\(247\) | 2.01334e10 | − | 3.48721e10i | 0.344177 | − | 0.596132i | ||||
\(248\) | −1.11941e10 | − | 1.93887e10i | −0.187912 | − | 0.325474i | ||||
\(249\) | 4.17979e9 | + | 7.23960e9i | 0.0689060 | + | 0.119349i | ||||
\(250\) | 2.36799e10 | − | 4.10147e10i | 0.383397 | − | 0.664064i | ||||
\(251\) | −3.47730e9 | −0.0552981 | −0.0276491 | − | 0.999618i | \(-0.508802\pi\) | ||||
−0.0276491 | + | 0.999618i | \(0.508802\pi\) | |||||||
\(252\) | 2.75235e10 | + | 1.44463e10i | 0.429934 | + | 0.225660i | ||||
\(253\) | 2.01346e10 | 0.308959 | ||||||||
\(254\) | 1.52886e10 | − | 2.64806e10i | 0.230470 | − | 0.399186i | ||||
\(255\) | 1.53517e9 | + | 2.65899e9i | 0.0227366 | + | 0.0393810i | ||||
\(256\) | −2.14748e9 | − | 3.71955e9i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −3.77069e10 | + | 6.53102e10i | −0.539164 | + | 0.933860i | 0.459785 | + | 0.888030i | \(0.347927\pi\) |
−0.998949 | + | 0.0458298i | \(0.985407\pi\) | |||||||
\(258\) | −1.81768e9 | −0.0255405 | ||||||||
\(259\) | 1.66921e10 | − | 1.05549e10i | 0.230496 | − | 0.145749i | ||||
\(260\) | −1.38711e10 | −0.188248 | ||||||||
\(261\) | −5.06279e10 | + | 8.76901e10i | −0.675317 | + | 1.16968i | ||||
\(262\) | 4.84233e10 | + | 8.38715e10i | 0.634890 | + | 1.09966i | ||||
\(263\) | −5.88025e10 | − | 1.01849e11i | −0.757870 | − | 1.31267i | −0.943935 | − | 0.330132i | \(-0.892907\pi\) |
0.186064 | − | 0.982538i | \(-0.440427\pi\) | |||||||
\(264\) | 3.65809e9 | − | 6.33600e9i | 0.0463486 | − | 0.0802782i | ||||
\(265\) | 6.18834e10 | 0.770846 | ||||||||
\(266\) | 3.28990e9 | + | 8.16886e10i | 0.0402916 | + | 1.00045i | ||||
\(267\) | −1.23390e10 | −0.148586 | ||||||||
\(268\) | −2.22063e10 | + | 3.84624e10i | −0.262948 | + | 0.455439i | ||||
\(269\) | 3.71283e10 | + | 6.43082e10i | 0.432335 | + | 0.748826i | 0.997074 | − | 0.0764436i | \(-0.0243565\pi\) |
−0.564739 | + | 0.825270i | \(0.691023\pi\) | |||||||
\(270\) | −8.01050e9 | − | 1.38746e10i | −0.0917324 | − | 0.158885i | ||||
\(271\) | −4.01996e10 | + | 6.96277e10i | −0.452751 | + | 0.784188i | −0.998556 | − | 0.0537244i | \(-0.982891\pi\) |
0.545805 | + | 0.837913i | \(0.316224\pi\) | |||||||
\(272\) | 7.79651e9 | 0.0863654 | ||||||||
\(273\) | 3.05139e8 | + | 7.57665e9i | 0.00332480 | + | 0.0825553i | ||||
\(274\) | 7.99300e10 | 0.856707 | ||||||||
\(275\) | 2.92746e10 | − | 5.07051e10i | 0.308669 | − | 0.534631i | ||||
\(276\) | 8.20375e8 | + | 1.42093e9i | 0.00850984 | + | 0.0147395i | ||||
\(277\) | 6.52889e10 | + | 1.13084e11i | 0.666316 | + | 1.15409i | 0.978927 | + | 0.204212i | \(0.0654631\pi\) |
−0.312611 | + | 0.949881i | \(0.601204\pi\) | |||||||
\(278\) | 4.31891e10 | − | 7.48058e10i | 0.433683 | − | 0.751162i | ||||
\(279\) | −1.04477e11 | −1.03229 | ||||||||
\(280\) | 2.38033e10 | − | 1.50515e10i | 0.231433 | − | 0.146341i | ||||
\(281\) | −6.23328e10 | −0.596401 | −0.298200 | − | 0.954503i | \(-0.596386\pi\) | ||||
−0.298200 | + | 0.954503i | \(0.596386\pi\) | |||||||
\(282\) | 5.75196e9 | − | 9.96268e9i | 0.0541620 | − | 0.0938113i | ||||
\(283\) | −3.39157e8 | − | 5.87437e8i | −0.00314312 | − | 0.00544405i | 0.864450 | − | 0.502720i | \(-0.167667\pi\) |
−0.867593 | + | 0.497276i | \(0.834334\pi\) | |||||||
\(284\) | 2.15478e10 | + | 3.73219e10i | 0.196549 | + | 0.340432i | ||||
\(285\) | 1.03798e10 | − | 1.79783e10i | 0.0931938 | − | 0.161416i | ||||
\(286\) | −5.99996e10 | −0.530275 | ||||||||
\(287\) | −1.16905e11 | − | 6.13601e10i | −1.01710 | − | 0.533848i | ||||
\(288\) | −2.00429e10 | −0.171670 | ||||||||
\(289\) | 5.22176e10 | − | 9.04435e10i | 0.440328 | − | 0.762671i | ||||
\(290\) | 4.58694e10 | + | 7.94482e10i | 0.380831 | + | 0.659619i | ||||
\(291\) | 1.58006e10 | + | 2.73674e10i | 0.129168 | + | 0.223725i | ||||
\(292\) | 5.94789e10 | − | 1.03021e11i | 0.478785 | − | 0.829280i | ||||
\(293\) | 5.67165e9 | 0.0449578 | 0.0224789 | − | 0.999747i | \(-0.492844\pi\) | ||||
0.0224789 | + | 0.999747i | \(0.492844\pi\) | |||||||
\(294\) | −8.74502e9 | − | 1.26707e10i | −0.0682649 | − | 0.0989094i | ||||
\(295\) | 1.98805e11 | 1.52837 | ||||||||
\(296\) | −6.36707e9 | + | 1.10281e10i | −0.0482089 | + | 0.0835002i | ||||
\(297\) | −3.46496e10 | − | 6.00148e10i | −0.258401 | − | 0.447563i | ||||
\(298\) | −4.99956e9 | − | 8.65949e9i | −0.0367247 | − | 0.0636091i | ||||
\(299\) | 6.72785e9 | − | 1.16530e10i | 0.0486806 | − | 0.0843173i | ||||
\(300\) | 4.77111e9 | 0.0340075 | ||||||||
\(301\) | −2.67983e10 | − | 1.40657e10i | −0.188174 | − | 0.0987671i | ||||
\(302\) | −1.76268e11 | −1.21939 | ||||||||
\(303\) | 7.54878e8 | − | 1.30749e9i | 0.00514500 | − | 0.00891139i | ||||
\(304\) | −2.63574e10 | − | 4.56523e10i | −0.176999 | − | 0.306571i | ||||
\(305\) | −2.86917e10 | − | 4.96956e10i | −0.189849 | − | 0.328828i | ||||
\(306\) | 1.81916e10 | − | 3.15088e10i | 0.118611 | − | 0.205440i | ||||
\(307\) | −1.81171e11 | −1.16403 | −0.582017 | − | 0.813176i | \(-0.697736\pi\) | ||||
−0.582017 | + | 0.813176i | \(0.697736\pi\) | |||||||
\(308\) | 1.02962e11 | − | 6.51053e10i | 0.651924 | − | 0.412229i | ||||
\(309\) | 2.69240e10 | 0.168007 | ||||||||
\(310\) | −4.73285e10 | + | 8.19754e10i | −0.291069 | + | 0.504146i | ||||
\(311\) | −5.19032e10 | − | 8.98990e10i | −0.314610 | − | 0.544920i | 0.664745 | − | 0.747071i | \(-0.268540\pi\) |
−0.979354 | + | 0.202150i | \(0.935207\pi\) | |||||||
\(312\) | −2.44466e9 | − | 4.23427e9i | −0.0146057 | − | 0.0252978i | ||||
\(313\) | 7.44320e10 | − | 1.28920e11i | 0.438339 | − | 0.759226i | −0.559222 | − | 0.829018i | \(-0.688900\pi\) |
0.997562 | + | 0.0697919i | \(0.0222335\pi\) | |||||||
\(314\) | −1.08851e11 | −0.631900 | ||||||||
\(315\) | −5.28867e9 | − | 1.31318e11i | −0.0302656 | − | 0.751498i | ||||
\(316\) | −1.05914e11 | −0.597535 | ||||||||
\(317\) | −9.88493e10 | + | 1.71212e11i | −0.549803 | + | 0.952286i | 0.448485 | + | 0.893790i | \(0.351964\pi\) |
−0.998288 | + | 0.0584960i | \(0.981370\pi\) | |||||||
\(318\) | 1.09064e10 | + | 1.88904e10i | 0.0598080 | + | 0.103590i | ||||
\(319\) | 1.98409e11 | + | 3.43655e11i | 1.07276 | + | 1.85808i | ||||
\(320\) | −9.07955e9 | + | 1.57263e10i | −0.0484049 | + | 0.0838398i | ||||
\(321\) | −4.40356e9 | −0.0231489 | ||||||||
\(322\) | 1.09936e9 | + | 2.72973e10i | 0.00569887 | + | 0.141504i | ||||
\(323\) | 9.56912e10 | 0.489171 | ||||||||
\(324\) | −4.53338e10 | + | 7.85204e10i | −0.228544 | + | 0.395850i | ||||
\(325\) | −1.95638e10 | − | 3.38855e10i | −0.0972699 | − | 0.168476i | ||||
\(326\) | −1.65327e10 | − | 2.86354e10i | −0.0810707 | − | 0.140419i | ||||
\(327\) | −1.43881e10 | + | 2.49208e10i | −0.0695885 | + | 0.120531i | ||||
\(328\) | 8.51315e10 | 0.406123 | ||||||||
\(329\) | 1.61896e11 | − | 1.02371e11i | 0.761824 | − | 0.481722i | ||||
\(330\) | −3.09328e10 | −0.143584 | ||||||||
\(331\) | −2.78940e10 | + | 4.83139e10i | −0.127728 | + | 0.221231i | −0.922796 | − | 0.385289i | \(-0.874102\pi\) |
0.795068 | + | 0.606520i | \(0.207435\pi\) | |||||||
\(332\) | −4.48747e10 | − | 7.77253e10i | −0.202713 | − | 0.351108i | ||||
\(333\) | 2.97126e10 | + | 5.14638e10i | 0.132416 | + | 0.229352i | ||||
\(334\) | 5.40619e9 | − | 9.36380e9i | 0.0237702 | − | 0.0411712i | ||||
\(335\) | 1.87776e11 | 0.814590 | ||||||||
\(336\) | 8.78971e9 | + | 4.61347e9i | 0.0376225 | + | 0.0197470i | ||||
\(337\) | 4.01748e11 | 1.69676 | 0.848378 | − | 0.529391i | \(-0.177580\pi\) | ||||
0.848378 | + | 0.529391i | \(0.177580\pi\) | |||||||
\(338\) | 6.47875e10 | − | 1.12215e11i | 0.270001 | − | 0.467656i | ||||
\(339\) | 3.78003e9 | + | 6.54720e9i | 0.0155452 | + | 0.0269251i | ||||
\(340\) | −1.64818e10 | − | 2.85473e10i | −0.0668882 | − | 0.115854i | ||||
\(341\) | −2.04720e11 | + | 3.54586e11i | −0.819910 | + | 1.42013i | ||||
\(342\) | −2.45999e11 | −0.972335 | ||||||||
\(343\) | −3.08798e10 | − | 2.54477e11i | −0.120462 | − | 0.992718i | ||||
\(344\) | 1.95149e10 | 0.0751368 | ||||||||
\(345\) | 3.46854e9 | − | 6.00769e9i | 0.0131814 | − | 0.0228308i | ||||
\(346\) | 1.55533e11 | + | 2.69390e11i | 0.583417 | + | 1.01051i | ||||
\(347\) | 1.68936e11 | + | 2.92606e11i | 0.625518 | + | 1.08343i | 0.988440 | + | 0.151610i | \(0.0484456\pi\) |
−0.362923 | + | 0.931819i | \(0.618221\pi\) | |||||||
\(348\) | −1.61682e10 | + | 2.80041e10i | −0.0590955 | + | 0.102356i | ||||
\(349\) | −3.59959e11 | −1.29879 | −0.649395 | − | 0.760451i | \(-0.724978\pi\) | ||||
−0.649395 | + | 0.760451i | \(0.724978\pi\) | |||||||
\(350\) | 7.03413e10 | + | 3.69202e10i | 0.250556 | + | 0.131510i | ||||
\(351\) | −4.63117e10 | −0.162858 | ||||||||
\(352\) | −3.92738e10 | + | 6.80242e10i | −0.136352 | + | 0.236168i | ||||
\(353\) | −9.51732e10 | − | 1.64845e11i | −0.326233 | − | 0.565053i | 0.655528 | − | 0.755171i | \(-0.272446\pi\) |
−0.981761 | + | 0.190118i | \(0.939113\pi\) | |||||||
\(354\) | 3.50375e10 | + | 6.06868e10i | 0.118582 | + | 0.205390i | ||||
\(355\) | 9.11040e10 | − | 1.57797e11i | 0.304446 | − | 0.527315i | ||||
\(356\) | 1.32473e11 | 0.437122 | ||||||||
\(357\) | −1.52305e10 | + | 9.63066e9i | −0.0496258 | + | 0.0313797i | ||||
\(358\) | 6.55439e10 | 0.210891 | ||||||||
\(359\) | −1.96349e11 | + | 3.40086e11i | −0.623884 | + | 1.08060i | 0.364872 | + | 0.931058i | \(0.381113\pi\) |
−0.988756 | + | 0.149540i | \(0.952221\pi\) | |||||||
\(360\) | 4.23707e10 | + | 7.33883e10i | 0.132955 | + | 0.230285i | ||||
\(361\) | −1.62156e11 | − | 2.80862e11i | −0.502517 | − | 0.870385i | ||||
\(362\) | 1.93541e11 | − | 3.35222e11i | 0.592357 | − | 1.02599i | ||||
\(363\) | −7.75758e10 | −0.234502 | ||||||||
\(364\) | −3.27602e9 | − | 8.13439e10i | −0.00978115 | − | 0.242867i | ||||
\(365\) | −5.02954e11 | −1.48324 | ||||||||
\(366\) | 1.01133e10 | − | 1.75168e10i | 0.0294598 | − | 0.0510258i | ||||
\(367\) | 1.62237e10 | + | 2.81002e10i | 0.0466823 | + | 0.0808561i | 0.888422 | − | 0.459027i | \(-0.151802\pi\) |
−0.841740 | + | 0.539883i | \(0.818468\pi\) | |||||||
\(368\) | −8.80765e9 | − | 1.52553e10i | −0.0250349 | − | 0.0433616i | ||||
\(369\) | 1.98638e11 | − | 3.44051e11i | 0.557754 | − | 0.966059i | ||||
\(370\) | 5.38399e10 | 0.149347 | ||||||||
\(371\) | 1.46154e10 | + | 3.62901e11i | 0.0400523 | + | 0.994503i | ||||
\(372\) | −3.33649e10 | −0.0903331 | ||||||||
\(373\) | 2.19500e11 | − | 3.80185e11i | 0.587143 | − | 1.01696i | −0.407461 | − | 0.913223i | \(-0.633586\pi\) |
0.994604 | − | 0.103740i | \(-0.0330809\pi\) | |||||||
\(374\) | −7.12923e10 | − | 1.23482e11i | −0.188417 | − | 0.326348i | ||||
\(375\) | −3.52900e10 | − | 6.11240e10i | −0.0921532 | − | 0.159614i | ||||
\(376\) | −6.17538e10 | + | 1.06961e11i | −0.159338 | + | 0.275981i | ||||
\(377\) | 2.65189e11 | 0.676112 | ||||||||
\(378\) | 7.94726e10 | − | 5.02526e10i | 0.200219 | − | 0.126604i | ||||
\(379\) | −3.56933e11 | −0.888607 | −0.444304 | − | 0.895876i | \(-0.646549\pi\) | ||||
−0.444304 | + | 0.895876i | \(0.646549\pi\) | |||||||
\(380\) | −1.11439e11 | + | 1.93018e11i | −0.274164 | + | 0.474866i | ||||
\(381\) | −2.27845e10 | − | 3.94638e10i | −0.0553957 | − | 0.0959482i | ||||
\(382\) | −4.65599e10 | − | 8.06441e10i | −0.111873 | − | 0.193770i | ||||
\(383\) | 7.62364e10 | − | 1.32045e11i | 0.181037 | − | 0.313566i | −0.761197 | − | 0.648521i | \(-0.775388\pi\) |
0.942234 | + | 0.334955i | \(0.108721\pi\) | |||||||
\(384\) | −6.40076e9 | −0.0150225 | ||||||||
\(385\) | −4.56047e11 | − | 2.39367e11i | −1.05788 | − | 0.555252i | ||||
\(386\) | 3.81733e11 | 0.875220 | ||||||||
\(387\) | 4.55341e10 | − | 7.88674e10i | 0.103190 | − | 0.178730i | ||||
\(388\) | −1.69637e11 | − | 2.93820e11i | −0.379995 | − | 0.658171i | ||||
\(389\) | −2.78559e11 | − | 4.82478e11i | −0.616800 | − | 1.06833i | −0.990066 | − | 0.140604i | \(-0.955096\pi\) |
0.373266 | − | 0.927724i | \(-0.378238\pi\) | |||||||
\(390\) | −1.03360e10 | + | 1.79025e10i | −0.0226236 | + | 0.0391852i | ||||
\(391\) | 3.19765e10 | 0.0691887 | ||||||||
\(392\) | 9.38877e10 | + | 1.36034e11i | 0.200827 | + | 0.290979i | ||||
\(393\) | 1.44330e11 | 0.305203 | ||||||||
\(394\) | 9.06133e10 | − | 1.56947e11i | 0.189435 | − | 0.328110i | ||||
\(395\) | 2.23903e11 | + | 3.87811e11i | 0.462778 | + | 0.801555i | ||||
\(396\) | 1.83275e11 | + | 3.17442e11i | 0.374521 | + | 0.648689i | ||||
\(397\) | −4.32956e11 | + | 7.49901e11i | −0.874755 | + | 1.51512i | −0.0177309 | + | 0.999843i | \(0.505644\pi\) |
−0.857024 | + | 0.515277i | \(0.827689\pi\) | |||||||
\(398\) | 2.80458e11 | 0.560267 | ||||||||
\(399\) | 1.07881e11 | + | 5.66239e10i | 0.213093 | + | 0.111846i | ||||
\(400\) | −5.12233e10 | −0.100046 | ||||||||
\(401\) | 3.38246e11 | − | 5.85858e11i | 0.653254 | − | 1.13147i | −0.329074 | − | 0.944304i | \(-0.606737\pi\) |
0.982328 | − | 0.187166i | \(-0.0599301\pi\) | |||||||
\(402\) | 3.30939e10 | + | 5.73203e10i | 0.0632020 | + | 0.109469i | ||||
\(403\) | 1.36812e11 | + | 2.36965e11i | 0.258376 | + | 0.447520i | ||||
\(404\) | −8.10448e9 | + | 1.40374e10i | −0.0151359 | + | 0.0262162i | ||||
\(405\) | 3.83342e11 | 0.708010 | ||||||||
\(406\) | −4.55073e11 | + | 2.87755e11i | −0.831216 | + | 0.525600i | ||||
\(407\) | 2.32885e11 | 0.420695 | ||||||||
\(408\) | 5.80954e9 | − | 1.00624e10i | 0.0103794 | − | 0.0179776i | ||||
\(409\) | 1.39521e11 | + | 2.41658e11i | 0.246539 | + | 0.427018i | 0.962563 | − | 0.271058i | \(-0.0873734\pi\) |
−0.716024 | + | 0.698075i | \(0.754040\pi\) | |||||||
\(410\) | −1.79968e11 | − | 3.11713e11i | −0.314534 | − | 0.544789i | ||||
\(411\) | 5.95596e10 | − | 1.03160e11i | 0.102959 | − | 0.178330i | ||||
\(412\) | −2.89060e11 | −0.494254 | ||||||||
\(413\) | 4.69528e10 | + | 1.16585e12i | 0.0794121 | + | 1.97181i | ||||
\(414\) | −8.22038e10 | −0.137528 | ||||||||
\(415\) | −1.89730e11 | + | 3.28623e11i | −0.313993 | + | 0.543852i | ||||
\(416\) | 2.62462e10 | + | 4.54597e10i | 0.0429681 | + | 0.0744229i | ||||
\(417\) | −6.43645e10 | − | 1.11483e11i | −0.104240 | − | 0.180549i | ||||
\(418\) | −4.82031e11 | + | 8.34902e11i | −0.772292 | + | 1.33765i | ||||
\(419\) | −9.62344e10 | −0.152534 | −0.0762671 | − | 0.997087i | \(-0.524300\pi\) | ||||
−0.0762671 | + | 0.997087i | \(0.524300\pi\) | |||||||
\(420\) | −1.68895e9 | − | 4.19369e10i | −0.00264847 | − | 0.0657619i | ||||
\(421\) | 4.35437e10 | 0.0675547 | 0.0337774 | − | 0.999429i | \(-0.489246\pi\) | ||||
0.0337774 | + | 0.999429i | \(0.489246\pi\) | |||||||
\(422\) | 2.50096e11 | − | 4.33179e11i | 0.383884 | − | 0.664907i | ||||
\(423\) | 2.88181e11 | + | 4.99144e11i | 0.437657 | + | 0.758043i | ||||
\(424\) | −1.17093e11 | − | 2.02810e11i | −0.175947 | − | 0.304750i | ||||
\(425\) | 4.64920e10 | − | 8.05265e10i | 0.0691238 | − | 0.119726i | ||||
\(426\) | 6.42251e10 | 0.0944847 | ||||||||
\(427\) | 2.84652e11 | − | 1.79993e11i | 0.414371 | − | 0.262018i | ||||
\(428\) | 4.72772e10 | 0.0681012 | ||||||||
\(429\) | −4.47085e10 | + | 7.74375e10i | −0.0637284 | + | 0.110381i | ||||
\(430\) | −4.12544e10 | − | 7.14547e10i | −0.0581918 | − | 0.100791i | ||||
\(431\) | −3.88074e11 | − | 6.72163e11i | −0.541709 | − | 0.938268i | −0.998806 | − | 0.0488511i | \(-0.984444\pi\) |
0.457097 | − | 0.889417i | \(-0.348889\pi\) | |||||||
\(432\) | −3.03141e10 | + | 5.25056e10i | −0.0418763 | + | 0.0725318i | ||||
\(433\) | 5.97634e11 | 0.817033 | 0.408517 | − | 0.912751i | \(-0.366046\pi\) | ||||
0.408517 | + | 0.912751i | \(0.366046\pi\) | |||||||
\(434\) | −4.91904e11 | − | 2.58187e11i | −0.665544 | − | 0.349326i | ||||
\(435\) | 1.36718e11 | 0.183073 | ||||||||
\(436\) | 1.54472e11 | − | 2.67554e11i | 0.204720 | − | 0.354586i | ||||
\(437\) | −1.08102e11 | − | 1.87238e11i | −0.141797 | − | 0.245599i | ||||
\(438\) | −8.86411e10 | − | 1.53531e11i | −0.115080 | − | 0.199325i | ||||
\(439\) | 1.59917e11 | − | 2.76984e11i | 0.205496 | − | 0.355930i | −0.744795 | − | 0.667294i | \(-0.767453\pi\) |
0.950291 | + | 0.311364i | \(0.100786\pi\) | |||||||
\(440\) | 3.32099e11 | 0.422406 | ||||||||
\(441\) | 7.68838e11 | − | 6.20284e10i | 0.967969 | − | 0.0780939i | ||||
\(442\) | −9.52875e10 | −0.118751 | ||||||||
\(443\) | 2.21049e11 | − | 3.82869e11i | 0.272692 | − | 0.472317i | −0.696858 | − | 0.717209i | \(-0.745419\pi\) |
0.969550 | + | 0.244892i | \(0.0787526\pi\) | |||||||
\(444\) | 9.48880e9 | + | 1.64351e10i | 0.0115875 | + | 0.0200701i | ||||
\(445\) | −2.80048e11 | − | 4.85057e11i | −0.338541 | − | 0.586371i | ||||
\(446\) | −2.19457e11 | + | 3.80110e11i | −0.262628 | + | 0.454886i | ||||
\(447\) | −1.49016e10 | −0.0176543 | ||||||||
\(448\) | −9.43675e10 | − | 4.95309e10i | −0.110681 | − | 0.0580932i | ||||
\(449\) | −7.93959e11 | −0.921913 | −0.460956 | − | 0.887423i | \(-0.652494\pi\) | ||||
−0.460956 | + | 0.887423i | \(0.652494\pi\) | |||||||
\(450\) | −1.19520e11 | + | 2.07014e11i | −0.137399 | + | 0.237982i | ||||
\(451\) | −7.78454e11 | − | 1.34832e12i | −0.886010 | − | 1.53461i | ||||
\(452\) | −4.05829e10 | − | 7.02916e10i | −0.0457320 | − | 0.0792101i | ||||
\(453\) | −1.31346e11 | + | 2.27497e11i | −0.146546 | + | 0.253825i | ||||
\(454\) | 1.85058e11 | 0.204435 | ||||||||
\(455\) | −2.90920e11 | + | 1.83956e11i | −0.318216 | + | 0.201216i | ||||
\(456\) | −7.85604e10 | −0.0850868 | ||||||||
\(457\) | −4.85797e10 | + | 8.41426e10i | −0.0520993 | + | 0.0902387i | −0.890899 | − | 0.454202i | \(-0.849925\pi\) |
0.838800 | + | 0.544440i | \(0.183258\pi\) | |||||||
\(458\) | −3.39026e11 | − | 5.87211e11i | −0.360030 | − | 0.623590i | ||||
\(459\) | −5.50282e10 | − | 9.53116e10i | −0.0578666 | − | 0.100228i | ||||
\(460\) | −3.72387e10 | + | 6.44994e10i | −0.0387779 | + | 0.0671654i | ||||
\(461\) | 8.96191e11 | 0.924158 | 0.462079 | − | 0.886839i | \(-0.347104\pi\) | ||||
0.462079 | + | 0.886839i | \(0.347104\pi\) | |||||||
\(462\) | −7.30558e9 | − | 1.81399e11i | −0.00746047 | − | 0.185244i | ||||
\(463\) | −6.89366e11 | −0.697164 | −0.348582 | − | 0.937278i | \(-0.613337\pi\) | ||||
−0.348582 | + | 0.937278i | \(0.613337\pi\) | |||||||
\(464\) | 1.73584e11 | − | 3.00656e11i | 0.173851 | − | 0.301119i | ||||
\(465\) | 7.05334e10 | + | 1.22167e11i | 0.0699611 | + | 0.121176i | ||||
\(466\) | 6.81895e11 | + | 1.18108e12i | 0.669855 | + | 1.16022i | ||||
\(467\) | 1.87790e11 | − | 3.25262e11i | 0.182703 | − | 0.316451i | −0.760097 | − | 0.649810i | \(-0.774849\pi\) |
0.942800 | + | 0.333358i | \(0.108182\pi\) | |||||||
\(468\) | 2.44961e11 | 0.236043 | ||||||||
\(469\) | 4.43482e10 | + | 1.10117e12i | 0.0423251 | + | 1.05094i | ||||
\(470\) | 5.22190e11 | 0.493615 | ||||||||
\(471\) | −8.11098e10 | + | 1.40486e11i | −0.0759416 | + | 0.131535i | ||||
\(472\) | −3.76168e11 | − | 6.51542e11i | −0.348853 | − | 0.604231i | ||||
\(473\) | −1.78447e11 | − | 3.09079e11i | −0.163920 | − | 0.283919i | ||||
\(474\) | −7.89218e10 | + | 1.36697e11i | −0.0718116 | + | 0.124381i | ||||
\(475\) | −6.28695e11 | −0.566655 | ||||||||
\(476\) | 1.63517e11 | − | 1.03396e11i | 0.145993 | − | 0.0923151i | ||||
\(477\) | −1.09285e12 | −0.966558 | ||||||||
\(478\) | −1.45065e11 | + | 2.51260e11i | −0.127098 | + | 0.220139i | ||||
\(479\) | 5.90992e11 | + | 1.02363e12i | 0.512946 | + | 0.888448i | 0.999887 | + | 0.0150137i | \(0.00477920\pi\) |
−0.486941 | + | 0.873435i | \(0.661887\pi\) | |||||||
\(480\) | 1.35312e10 | + | 2.34367e10i | 0.0116346 | + | 0.0201517i | ||||
\(481\) | 7.78172e10 | − | 1.34783e11i | 0.0662861 | − | 0.114811i | ||||
\(482\) | 3.98713e11 | 0.336472 | ||||||||
\(483\) | 3.60500e10 | + | 1.89216e10i | 0.0301400 | + | 0.0158196i | ||||
\(484\) | 8.32865e11 | 0.689875 | ||||||||
\(485\) | −7.17225e11 | + | 1.24227e12i | −0.588596 | + | 1.01948i | ||||
\(486\) | 2.13233e11 | + | 3.69330e11i | 0.173377 | + | 0.300297i | ||||
\(487\) | 1.39234e11 | + | 2.41160e11i | 0.112167 | + | 0.194278i | 0.916644 | − | 0.399706i | \(-0.130888\pi\) |
−0.804477 | + | 0.593984i | \(0.797554\pi\) | |||||||
\(488\) | −1.08578e11 | + | 1.88063e11i | −0.0866669 | + | 0.150111i | ||||
\(489\) | −4.92771e10 | −0.0389722 | ||||||||
\(490\) | 2.99618e11 | − | 6.31351e11i | 0.234794 | − | 0.494753i | ||||
\(491\) | 7.96998e10 | 0.0618857 | 0.0309429 | − | 0.999521i | \(-0.490149\pi\) | ||||
0.0309429 | + | 0.999521i | \(0.490149\pi\) | |||||||
\(492\) | 6.34355e10 | − | 1.09873e11i | 0.0488078 | − | 0.0845376i | ||||
\(493\) | 3.15100e11 | + | 5.45770e11i | 0.240236 | + | 0.416101i | ||||
\(494\) | 3.22135e11 | + | 5.57954e11i | 0.243370 | + | 0.421529i | ||||
\(495\) | 7.74888e11 | − | 1.34214e12i | 0.580117 | − | 1.00479i | ||||
\(496\) | 3.58210e11 | 0.265748 | ||||||||
\(497\) | 9.46880e11 | + | 4.96991e11i | 0.696132 | + | 0.365380i | ||||
\(498\) | −1.33753e11 | −0.0974478 | ||||||||
\(499\) | −1.59936e11 | + | 2.77017e11i | −0.115477 | + | 0.200011i | −0.917970 | − | 0.396649i | \(-0.870173\pi\) |
0.802494 | + | 0.596661i | \(0.203506\pi\) | |||||||
\(500\) | 3.78878e11 | + | 6.56236e11i | 0.271103 | + | 0.469564i | ||||
\(501\) | −8.05682e9 | − | 1.39548e10i | −0.00571339 | − | 0.00989588i | ||||
\(502\) | 2.78184e10 | − | 4.81829e10i | 0.0195508 | − | 0.0338631i | ||||
\(503\) | −1.67487e12 | −1.16661 | −0.583306 | − | 0.812253i | \(-0.698241\pi\) | ||||
−0.583306 | + | 0.812253i | \(0.698241\pi\) | |||||||
\(504\) | −4.20362e11 | + | 2.65806e11i | −0.290193 | + | 0.183497i | ||||
\(505\) | 6.85314e10 | 0.0468898 | ||||||||
\(506\) | −1.61077e11 | + | 2.78993e11i | −0.109233 | + | 0.189198i | ||||
\(507\) | −9.65524e10 | − | 1.67234e11i | −0.0648974 | − | 0.112406i | ||||
\(508\) | 2.44617e11 | + | 4.23689e11i | 0.162967 | + | 0.282267i | ||||
\(509\) | 3.12305e11 | − | 5.40927e11i | 0.206228 | − | 0.357198i | −0.744295 | − | 0.667851i | \(-0.767214\pi\) |
0.950523 | + | 0.310653i | \(0.100548\pi\) | |||||||
\(510\) | −4.91255e10 | −0.0321544 | ||||||||
\(511\) | −1.18786e11 | − | 2.94946e12i | −0.0770672 | − | 1.91359i | ||||
\(512\) | 6.87195e10 | 0.0441942 | ||||||||
\(513\) | −3.72063e11 | + | 6.44433e11i | −0.237186 | + | 0.410818i | ||||
\(514\) | −6.03310e11 | − | 1.04496e12i | −0.381247 | − | 0.660339i | ||||
\(515\) | 6.11072e11 | + | 1.05841e12i | 0.382789 | + | 0.663010i | ||||
\(516\) | 1.45414e10 | − | 2.51865e10i | 0.00902992 | − | 0.0156403i | ||||
\(517\) | 2.25874e12 | 1.39046 | ||||||||
\(518\) | 1.27157e10 | + | 3.15732e11i | 0.00775989 | + | 0.192679i | ||||
\(519\) | 4.63579e11 | 0.280460 | ||||||||
\(520\) | 1.10969e11 | − | 1.92203e11i | 0.0665557 | − | 0.115278i | ||||
\(521\) | −3.21473e11 | − | 5.56808e11i | −0.191150 | − | 0.331082i | 0.754481 | − | 0.656321i | \(-0.227888\pi\) |
−0.945632 | + | 0.325239i | \(0.894555\pi\) | |||||||
\(522\) | −8.10047e11 | − | 1.40304e12i | −0.477521 | − | 0.827091i | ||||
\(523\) | −8.08666e11 | + | 1.40065e12i | −0.472619 | + | 0.818601i | −0.999509 | − | 0.0313330i | \(-0.990025\pi\) |
0.526890 | + | 0.849934i | \(0.323358\pi\) | |||||||
\(524\) | −1.54954e12 | −0.897869 | ||||||||
\(525\) | 1.00065e11 | − | 6.32738e10i | 0.0574864 | − | 0.0363502i | ||||
\(526\) | 1.88168e12 | 1.07179 | ||||||||
\(527\) | −3.25123e11 | + | 5.63130e11i | −0.183612 | + | 0.318025i | ||||
\(528\) | 5.85295e10 | + | 1.01376e11i | 0.0327734 | + | 0.0567653i | ||||
\(529\) | 8.64453e11 | + | 1.49728e12i | 0.479944 | + | 0.831288i | ||||
\(530\) | −4.95067e11 | + | 8.57481e11i | −0.272535 | + | 0.472045i | ||||
\(531\) | −3.51086e12 | −1.91641 | ||||||||
\(532\) | −1.15823e12 | − | 6.07922e11i | −0.626891 | − | 0.329038i | ||||
\(533\) | −1.04046e12 | −0.558411 | ||||||||
\(534\) | 9.87118e10 | − | 1.70974e11i | 0.0525332 | − | 0.0909901i | ||||
\(535\) | −9.99439e10 | − | 1.73108e11i | −0.0527430 | − | 0.0913535i | ||||
\(536\) | −3.55301e11 | − | 6.15399e11i | −0.185932 | − | 0.322044i | ||||
\(537\) | 4.88398e10 | − | 8.45930e10i | 0.0253448 | − | 0.0438986i | ||||
\(538\) | −1.18811e12 | −0.611414 | ||||||||
\(539\) | 1.29600e12 | − | 2.73092e12i | 0.661389 | − | 1.39367i | ||||
\(540\) | 2.56336e11 | 0.129729 | ||||||||
\(541\) | 1.21728e12 | − | 2.10840e12i | 0.610948 | − | 1.05819i | −0.380132 | − | 0.924932i | \(-0.624122\pi\) |
0.991081 | − | 0.133262i | \(-0.0425451\pi\) | |||||||
\(542\) | −6.43193e11 | − | 1.11404e12i | −0.320143 | − | 0.554505i | ||||
\(543\) | −2.88432e11 | − | 4.99580e11i | −0.142379 | − | 0.246607i | ||||
\(544\) | −6.23720e10 | + | 1.08032e11i | −0.0305348 | + | 0.0528878i | ||||
\(545\) | −1.30622e12 | −0.634206 | ||||||||
\(546\) | −1.07426e11 | − | 5.63850e10i | −0.0517301 | − | 0.0271517i | ||||
\(547\) | 3.63462e12 | 1.73587 | 0.867934 | − | 0.496680i | \(-0.165448\pi\) | ||||
0.867934 | + | 0.496680i | \(0.165448\pi\) | |||||||
\(548\) | −6.39440e11 | + | 1.10754e12i | −0.302891 | + | 0.524623i | ||||
\(549\) | 5.06692e11 | + | 8.77616e11i | 0.238050 | + | 0.412315i | ||||
\(550\) | 4.68393e11 | + | 8.11281e11i | 0.218262 | + | 0.378041i | ||||
\(551\) | 2.13050e12 | − | 3.69013e12i | 0.984688 | − | 1.70553i | ||||
\(552\) | −2.62520e10 | −0.0120347 | ||||||||
\(553\) | −2.22135e12 | + | 1.40462e12i | −1.01008 | + | 0.638699i | ||||
\(554\) | −2.08924e12 | −0.942313 | ||||||||
\(555\) | 4.01186e10 | − | 6.94875e10i | 0.0179485 | − | 0.0310877i | ||||
\(556\) | 6.91026e11 | + | 1.19689e12i | 0.306660 | + | 0.531152i | ||||
\(557\) | 2.22234e10 | + | 3.84921e10i | 0.00978278 | + | 0.0169443i | 0.870875 | − | 0.491504i | \(-0.163553\pi\) |
−0.861093 | + | 0.508448i | \(0.830219\pi\) | |||||||
\(558\) | 8.35814e11 | − | 1.44767e12i | 0.364969 | − | 0.632144i | ||||
\(559\) | −2.38507e11 | −0.103311 | ||||||||
\(560\) | 1.81328e10 | + | 4.50240e11i | 0.00779146 | + | 0.193463i | ||||
\(561\) | −2.12493e11 | −0.0905757 | ||||||||
\(562\) | 4.98662e11 | − | 8.63708e11i | 0.210859 | − | 0.365219i | ||||
\(563\) | 1.93179e12 | + | 3.34596e12i | 0.810349 | + | 1.40357i | 0.912620 | + | 0.408810i | \(0.134056\pi\) |
−0.102270 | + | 0.994757i | \(0.532611\pi\) | |||||||
\(564\) | 9.20313e10 | + | 1.59403e11i | 0.0382983 | + | 0.0663346i | ||||
\(565\) | −1.71584e11 | + | 2.97193e11i | −0.0708369 | + | 0.122693i | ||||
\(566\) | 1.08530e10 | 0.00444505 | ||||||||
\(567\) | 9.05362e10 | + | 2.24803e12i | 0.0367874 | + | 0.913435i | ||||
\(568\) | −6.89529e11 | −0.277962 | ||||||||
\(569\) | 1.03247e12 | − | 1.78828e12i | 0.412925 | − | 0.715206i | −0.582284 | − | 0.812986i | \(-0.697841\pi\) |
0.995208 | + | 0.0977795i | \(0.0311740\pi\) | |||||||
\(570\) | 1.66077e11 | + | 2.87653e11i | 0.0658979 | + | 0.114139i | ||||
\(571\) | 1.55084e12 | + | 2.68613e12i | 0.610527 | + | 1.05746i | 0.991152 | + | 0.132734i | \(0.0423755\pi\) |
−0.380625 | + | 0.924729i | \(0.624291\pi\) | |||||||
\(572\) | 4.79997e11 | − | 8.31379e11i | 0.187481 | − | 0.324726i | ||||
\(573\) | −1.38776e11 | −0.0537796 | ||||||||
\(574\) | 1.78547e12 | − | 1.12900e12i | 0.686514 | − | 0.434101i | ||||
\(575\) | −2.10087e11 | −0.0801480 | ||||||||
\(576\) | 1.60343e11 | − | 2.77723e11i | 0.0606946 | − | 0.105126i | ||||
\(577\) | −1.04111e11 | − | 1.80326e11i | −0.0391027 | − | 0.0677279i | 0.845812 | − | 0.533482i | \(-0.179117\pi\) |
−0.884914 | + | 0.465754i | \(0.845783\pi\) | |||||||
\(578\) | 8.35481e11 | + | 1.44710e12i | 0.311359 | + | 0.539290i | ||||
\(579\) | 2.84447e11 | − | 4.92677e11i | 0.105184 | − | 0.182184i | ||||
\(580\) | −1.46782e12 | −0.538577 | ||||||||
\(581\) | −1.97194e12 | − | 1.03502e12i | −0.717963 | − | 0.376839i | ||||
\(582\) | −5.05618e11 | −0.182671 | ||||||||
\(583\) | −2.14142e12 | + | 3.70905e12i | −0.767704 | + | 1.32970i | ||||
\(584\) | 9.51663e11 | + | 1.64833e12i | 0.338552 | + | 0.586389i | ||||
\(585\) | −5.17848e11 | − | 8.96938e11i | −0.182810 | − | 0.316637i | ||||
\(586\) | −4.53732e10 | + | 7.85887e10i | −0.0158950 | + | 0.0275309i | ||||
\(587\) | −2.56958e12 | −0.893286 | −0.446643 | − | 0.894712i | \(-0.647381\pi\) | ||||
−0.446643 | + | 0.894712i | \(0.647381\pi\) | |||||||
\(588\) | 2.45531e11 | − | 1.98089e10i | 0.0847047 | − | 0.00683382i | ||||
\(589\) | 4.39653e12 | 1.50519 | ||||||||
\(590\) | −1.59044e12 | + | 2.75472e12i | −0.540359 | + | 0.935929i | ||||
\(591\) | −1.35041e11 | − | 2.33897e11i | −0.0455324 | − | 0.0788644i | ||||
\(592\) | −1.01873e11 | − | 1.76449e11i | −0.0340888 | − | 0.0590435i | ||||
\(593\) | −1.01774e12 | + | 1.76278e12i | −0.337980 | + | 0.585399i | −0.984053 | − | 0.177877i | \(-0.943077\pi\) |
0.646073 | + | 0.763276i | \(0.276410\pi\) | |||||||
\(594\) | 1.10879e12 | 0.365434 | ||||||||
\(595\) | −7.24265e11 | − | 3.80146e11i | −0.236903 | − | 0.124344i | ||||
\(596\) | 1.59986e11 | 0.0519366 | ||||||||
\(597\) | 2.08983e11 | − | 3.61969e11i | 0.0673327 | − | 0.116624i | ||||
\(598\) | 1.07646e11 | + | 1.86448e11i | 0.0344224 | + | 0.0596213i | ||||
\(599\) | 1.40874e12 | + | 2.44002e12i | 0.447107 | + | 0.774412i | 0.998196 | − | 0.0600345i | \(-0.0191211\pi\) |
−0.551090 | + | 0.834446i | \(0.685788\pi\) | |||||||
\(600\) | −3.81689e10 | + | 6.61105e10i | −0.0120235 | + | 0.0208252i | ||||
\(601\) | 2.84630e12 | 0.889908 | 0.444954 | − | 0.895553i | \(-0.353220\pi\) | ||||
0.444954 | + | 0.895553i | \(0.353220\pi\) | |||||||
\(602\) | 4.09287e11 | − | 2.58803e11i | 0.127012 | − | 0.0803129i | ||||
\(603\) | −3.31610e12 | −1.02141 | ||||||||
\(604\) | 1.41014e12 | − | 2.44244e12i | 0.431119 | − | 0.746720i | ||||
\(605\) | −1.76067e12 | − | 3.04958e12i | −0.534293 | − | 0.925423i | ||||
\(606\) | 1.20781e10 | + | 2.09198e10i | 0.00363806 | + | 0.00630131i | ||||
\(607\) | −1.51972e12 | + | 2.63223e12i | −0.454375 | + | 0.787000i | −0.998652 | − | 0.0519053i | \(-0.983471\pi\) |
0.544277 | + | 0.838905i | \(0.316804\pi\) | |||||||
\(608\) | 8.43436e11 | 0.250314 | ||||||||
\(609\) | 3.22895e10 | + | 8.01752e11i | 0.00951225 | + | 0.236190i | ||||
\(610\) | 9.18136e11 | 0.268487 | ||||||||
\(611\) | 7.54744e11 | − | 1.30725e12i | 0.219086 | − | 0.379468i | ||||
\(612\) | 2.91066e11 | + | 5.04141e11i | 0.0838706 | + | 0.145268i | ||||
\(613\) | −2.85482e12 | − | 4.94469e12i | −0.816594 | − | 1.41438i | −0.908178 | − | 0.418584i | \(-0.862526\pi\) |
0.0915841 | − | 0.995797i | \(-0.470807\pi\) | |||||||
\(614\) | 1.44937e12 | − | 2.51038e12i | 0.411548 | − | 0.712823i | ||||
\(615\) | −5.36410e11 | −0.151202 | ||||||||
\(616\) | 7.84337e10 | + | 1.94752e12i | 0.0219477 | + | 0.544965i | ||||
\(617\) | −2.92315e12 | −0.812023 | −0.406011 | − | 0.913868i | \(-0.633081\pi\) | ||||
−0.406011 | + | 0.913868i | \(0.633081\pi\) | |||||||
\(618\) | −2.15392e11 | + | 3.73070e11i | −0.0593993 | + | 0.102883i | ||||
\(619\) | −2.88780e12 | − | 5.00181e12i | −0.790604 | − | 1.36937i | −0.925593 | − | 0.378519i | \(-0.876433\pi\) |
0.134989 | − | 0.990847i | \(-0.456900\pi\) | |||||||
\(620\) | −7.57256e11 | − | 1.31161e12i | −0.205817 | − | 0.356485i | ||||
\(621\) | −1.24330e11 | + | 2.15346e11i | −0.0335477 | + | 0.0581064i | ||||
\(622\) | 1.66090e12 | 0.444925 | ||||||||
\(623\) | 2.77837e12 | − | 1.75684e12i | 0.738913 | − | 0.467235i | ||||
\(624\) | 7.82290e10 | 0.0206556 | ||||||||
\(625\) | 8.38607e11 | − | 1.45251e12i | 0.219836 | − | 0.380767i | ||||
\(626\) | 1.19091e12 | + | 2.06272e12i | 0.309953 | + | 0.536854i | ||||
\(627\) | 7.18368e11 | + | 1.24425e12i | 0.185628 | + | 0.321517i | ||||
\(628\) | 8.70806e11 | − | 1.50828e12i | 0.223410 | − | 0.386958i | ||||
\(629\) | 3.69853e11 | 0.0942110 | ||||||||
\(630\) | 1.86191e12 | + | 9.77265e11i | 0.470897 | + | 0.247161i | ||||
\(631\) | 2.44150e12 | 0.613090 | 0.306545 | − | 0.951856i | \(-0.400827\pi\) | ||||
0.306545 | + | 0.951856i | \(0.400827\pi\) | |||||||
\(632\) | 8.47315e11 | − | 1.46759e12i | 0.211260 | − | 0.365914i | ||||
\(633\) | −3.72716e11 | − | 6.45564e11i | −0.0922703 | − | 0.159817i | ||||
\(634\) | −1.58159e12 | − | 2.73939e12i | −0.388769 | − | 0.673368i | ||||
\(635\) | 1.03424e12 | − | 1.79136e12i | 0.252429 | − | 0.437220i | ||||
\(636\) | −3.49005e11 | −0.0845813 | ||||||||
\(637\) | −1.14748e12 | − | 1.66259e12i | −0.276132 | − | 0.400089i | ||||
\(638\) | −6.34909e12 | −1.51711 | ||||||||
\(639\) | −1.60888e12 | + | 2.78666e12i | −0.381742 | + | 0.661197i | ||||
\(640\) | −1.45273e11 | − | 2.51620e11i | −0.0342275 | − | 0.0592837i | ||||
\(641\) | −3.95349e12 | − | 6.84764e12i | −0.924952 | − | 1.60206i | −0.791639 | − | 0.610989i | \(-0.790772\pi\) |
−0.133313 | − | 0.991074i | \(-0.542562\pi\) | |||||||
\(642\) | 3.52285e10 | − | 6.10175e10i | 0.00818439 | − | 0.0141758i | ||||
\(643\) | 1.32729e12 | 0.306208 | 0.153104 | − | 0.988210i | \(-0.451073\pi\) | ||||
0.153104 | + | 0.988210i | \(0.451073\pi\) | |||||||
\(644\) | −3.87037e11 | − | 2.03145e11i | −0.0886679 | − | 0.0465393i | ||||
\(645\) | −1.22962e11 | −0.0279739 | ||||||||
\(646\) | −7.65530e11 | + | 1.32594e12i | −0.172948 | + | 0.299555i | ||||
\(647\) | 1.61610e12 | + | 2.79917e12i | 0.362576 | + | 0.628000i | 0.988384 | − | 0.151977i | \(-0.0485641\pi\) |
−0.625808 | + | 0.779977i | \(0.715231\pi\) | |||||||
\(648\) | −7.25341e11 | − | 1.25633e12i | −0.161605 | − | 0.279908i | ||||
\(649\) | −6.87946e12 | + | 1.19156e13i | −1.52214 | + | 2.63642i | ||||
\(650\) | 6.26042e11 | 0.137560 | ||||||||
\(651\) | −6.99766e11 | + | 4.42481e11i | −0.152700 | + | 0.0965561i | ||||
\(652\) | 5.29046e11 | 0.114651 | ||||||||
\(653\) | 9.19644e11 | − | 1.59287e12i | 0.197929 | − | 0.342824i | −0.749927 | − | 0.661520i | \(-0.769912\pi\) |
0.947857 | + | 0.318696i | \(0.103245\pi\) | |||||||
\(654\) | −2.30209e11 | − | 3.98734e11i | −0.0492065 | − | 0.0852281i | ||||
\(655\) | 3.27573e12 | + | 5.67374e12i | 0.695381 | + | 1.20444i | ||||
\(656\) | −6.81052e11 | + | 1.17962e12i | −0.143586 | + | 0.248699i | ||||
\(657\) | 8.88208e12 | 1.85982 | ||||||||
\(658\) | 1.23329e11 | + | 3.06227e12i | 0.0256476 | + | 0.636834i | ||||
\(659\) | 5.84606e12 | 1.20748 | 0.603738 | − | 0.797182i | \(-0.293677\pi\) | ||||
0.603738 | + | 0.797182i | \(0.293677\pi\) | |||||||
\(660\) | 2.47462e11 | − | 4.28618e11i | 0.0507647 | − | 0.0879270i | ||||
\(661\) | −2.82594e12 | − | 4.89468e12i | −0.575780 | − | 0.997280i | −0.995956 | − | 0.0898379i | \(-0.971365\pi\) |
0.420176 | − | 0.907443i | \(-0.361968\pi\) | |||||||
\(662\) | −4.46304e11 | − | 7.73022e11i | −0.0903171 | − | 0.156434i | ||||
\(663\) | −7.10032e10 | + | 1.22981e11i | −0.0142714 | + | 0.0247188i | ||||
\(664\) | 1.43599e12 | 0.286679 | ||||||||
\(665\) | 2.22555e11 | + | 5.52606e12i | 0.0441306 | + | 1.09577i | ||||
\(666\) | −9.50804e11 | −0.187265 | ||||||||
\(667\) | 7.11933e11 | − | 1.23310e12i | 0.139275 | − | 0.241231i | ||||
\(668\) | 8.64991e10 | + | 1.49821e11i | 0.0168081 | + | 0.0291124i | ||||
\(669\) | 3.27055e11 | + | 5.66476e11i | 0.0631252 | + | 0.109336i | ||||
\(670\) | −1.50221e12 | + | 2.60190e12i | −0.288001 | + | 0.498832i | ||||
\(671\) | 3.97141e12 | 0.756299 | ||||||||
\(672\) | −1.34244e11 | + | 8.48860e10i | −0.0253941 | + | 0.0160574i | ||||
\(673\) | −1.86409e12 | −0.350267 | −0.175133 | − | 0.984545i | \(-0.556036\pi\) | ||||
−0.175133 | + | 0.984545i | \(0.556036\pi\) | |||||||
\(674\) | −3.21398e12 | + | 5.56678e12i | −0.599894 | + | 1.03905i | ||||
\(675\) | 3.61537e11 | + | 6.26201e11i | 0.0670326 | + | 0.116104i | ||||
\(676\) | 1.03660e12 | + | 1.79544e12i | 0.190920 | + | 0.330683i | ||||
\(677\) | 1.14713e12 | − | 1.98689e12i | 0.209877 | − | 0.363517i | −0.741799 | − | 0.670622i | \(-0.766027\pi\) |
0.951675 | + | 0.307106i | \(0.0993604\pi\) | |||||||
\(678\) | −1.20961e11 | −0.0219842 | ||||||||
\(679\) | −7.45441e12 | − | 3.91261e12i | −1.34586 | − | 0.706403i | ||||
\(680\) | 5.27418e11 | 0.0945942 | ||||||||
\(681\) | 1.37895e11 | − | 2.38841e11i | 0.0245690 | − | 0.0425547i | ||||
\(682\) | −3.27553e12 | − | 5.67338e12i | −0.579764 | − | 1.00418i | ||||
\(683\) | 2.46771e12 | + | 4.27420e12i | 0.433911 | + | 0.751556i | 0.997206 | − | 0.0746998i | \(-0.0237999\pi\) |
−0.563295 | + | 0.826256i | \(0.690467\pi\) | |||||||
\(684\) | 1.96799e12 | − | 3.40866e12i | 0.343772 | − | 0.595431i | ||||
\(685\) | 5.40710e12 | 0.938332 | ||||||||
\(686\) | 3.77318e12 | + | 1.60794e12i | 0.650503 | + | 0.277211i | ||||
\(687\) | −1.01050e12 | −0.173073 | ||||||||
\(688\) | −1.56119e11 | + | 2.70406e11i | −0.0265649 | + | 0.0460117i | ||||
\(689\) | 1.43108e12 | + | 2.47871e12i | 0.241924 | + | 0.419024i | ||||
\(690\) | 5.54967e10 | + | 9.61230e10i | 0.00932065 | + | 0.0161438i | ||||
\(691\) | −3.95992e12 | + | 6.85879e12i | −0.660747 | + | 1.14445i | 0.319672 | + | 0.947528i | \(0.396427\pi\) |
−0.980420 | + | 0.196920i | \(0.936906\pi\) | |||||||
\(692\) | −4.97704e12 | −0.825076 | ||||||||
\(693\) | 8.05372e12 | + | 4.22717e12i | 1.32647 | + | 0.696227i | ||||
\(694\) | −5.40595e12 | −0.884616 | ||||||||
\(695\) | 2.92166e12 | − | 5.06046e12i | 0.475004 | − | 0.822731i | ||||
\(696\) | −2.58691e11 | − | 4.48065e11i | −0.0417868 | − | 0.0723769i | ||||
\(697\) | −1.23629e12 | − | 2.14132e12i | −0.198414 | − | 0.343664i | ||||
\(698\) | 2.87968e12 | − | 4.98774e12i | 0.459192 | − | 0.795344i | ||||
\(699\) | 2.03245e12 | 0.322012 | ||||||||
\(700\) | −1.07431e12 | + | 6.79316e11i | −0.169118 | + | 0.106938i | ||||
\(701\) | −1.24405e12 | −0.194584 | −0.0972919 | − | 0.995256i | \(-0.531018\pi\) | ||||
−0.0972919 | + | 0.995256i | \(0.531018\pi\) | |||||||
\(702\) | 3.70494e11 | − | 6.41714e11i | 0.0575790 | − | 0.0997297i | ||||
\(703\) | −1.25035e12 | − | 2.16567e12i | −0.193078 | − | 0.334421i | ||||
\(704\) | −6.28380e11 | − | 1.08839e12i | −0.0964152 | − | 0.166996i | ||||
\(705\) | 3.89108e11 | − | 6.73955e11i | 0.0593225 | − | 0.102750i | ||||
\(706\) | 3.04554e12 | 0.461364 | ||||||||
\(707\) | 1.61855e10 | + | 4.01887e11i | 0.00243634 | + | 0.0604946i | ||||
\(708\) | −1.12120e12 | −0.167700 | ||||||||
\(709\) | 3.64164e12 | − | 6.30751e12i | 0.541239 | − | 0.937454i | −0.457594 | − | 0.889161i | \(-0.651289\pi\) |
0.998833 | − | 0.0482926i | \(-0.0153780\pi\) | |||||||
\(710\) | 1.45766e12 | + | 2.52475e12i | 0.215276 | + | 0.372868i | ||||
\(711\) | −3.95409e12 | − | 6.84868e12i | −0.580274 | − | 1.00506i | ||||
\(712\) | −1.05978e12 | + | 1.83560e12i | −0.154546 | + | 0.267681i | ||||
\(713\) | 1.46916e12 | 0.212895 | ||||||||
\(714\) | −1.16022e10 | − | 2.88085e11i | −0.00167071 | − | 0.0414839i | ||||
\(715\) | −4.05885e12 | −0.580799 | ||||||||
\(716\) | −5.24351e11 | + | 9.08202e11i | −0.0745613 | + | 0.129144i | ||||
\(717\) | 2.16190e11 | + | 3.74451e11i | 0.0305491 | + | 0.0529126i | ||||
\(718\) | −3.14158e12 | − | 5.44138e12i | −0.441152 | − | 0.764098i | ||||
\(719\) | 1.97345e12 | − | 3.41811e12i | 0.275388 | − | 0.476986i | −0.694845 | − | 0.719160i | \(-0.744527\pi\) |
0.970233 | + | 0.242174i | \(0.0778603\pi\) | |||||||
\(720\) | −1.35586e12 | −0.188027 | ||||||||
\(721\) | −6.06247e12 | + | 3.83346e12i | −0.835490 | + | 0.528303i | ||||
\(722\) | 5.18899e12 | 0.710666 | ||||||||
\(723\) | 2.97100e11 | − | 5.14592e11i | 0.0404371 | − | 0.0700391i | ||||
\(724\) | 3.09665e12 | + | 5.36356e12i | 0.418860 | + | 0.725486i | ||||
\(725\) | −2.07022e12 | − | 3.58573e12i | −0.278289 | − | 0.482010i | ||||
\(726\) | 6.20607e11 | − | 1.07492e12i | 0.0829090 | − | 0.143603i | ||||
\(727\) | −1.29298e13 | −1.71667 | −0.858335 | − | 0.513089i | \(-0.828501\pi\) | ||||
−0.858335 | + | 0.513089i | \(0.828501\pi\) | |||||||
\(728\) | 1.15334e12 | + | 6.05358e11i | 0.152183 | + | 0.0798768i | ||||
\(729\) | −6.33557e12 | −0.830830 | ||||||||
\(730\) | 4.02363e12 | − | 6.96913e12i | 0.524403 | − | 0.908292i | ||||
\(731\) | −2.83397e11 | − | 4.90858e11i | −0.0367086 | − | 0.0635811i | ||||
\(732\) | 1.61813e11 | + | 2.80269e11i | 0.0208312 | + | 0.0360807i | ||||
\(733\) | 3.52694e11 | − | 6.10884e11i | 0.0451263 | − | 0.0781611i | −0.842580 | − | 0.538571i | \(-0.818964\pi\) |
0.887706 | + | 0.460410i | \(0.152298\pi\) | |||||||
\(734\) | −5.19158e11 | −0.0660187 | ||||||||
\(735\) | −5.91583e11 | − | 8.57147e11i | −0.0747691 | − | 0.108333i | ||||
\(736\) | 2.81845e11 | 0.0354046 | ||||||||
\(737\) | −6.49784e12 | + | 1.12546e13i | −0.811269 | + | 1.40516i | ||||
\(738\) | 3.17820e12 | + | 5.50481e12i | 0.394392 | + | 0.683107i | ||||
\(739\) | −1.24236e12 | − | 2.15182e12i | −0.153231 | − | 0.265403i | 0.779183 | − | 0.626797i | \(-0.215634\pi\) |
−0.932413 | + | 0.361394i | \(0.882301\pi\) | |||||||
\(740\) | −4.30719e11 | + | 7.46027e11i | −0.0528021 | + | 0.0914560i | ||||
\(741\) | 9.60152e11 | 0.116992 | ||||||||
\(742\) | −5.14543e12 | − | 2.70069e12i | −0.623167 | − | 0.327083i | ||||
\(743\) | 7.27764e12 | 0.876074 | 0.438037 | − | 0.898957i | \(-0.355674\pi\) | ||||
0.438037 | + | 0.898957i | \(0.355674\pi\) | |||||||
\(744\) | 2.66919e11 | − | 4.62318e11i | 0.0319376 | − | 0.0553175i | ||||
\(745\) | −3.38210e11 | − | 5.85797e11i | −0.0402238 | − | 0.0696697i | ||||
\(746\) | 3.51200e12 | + | 6.08295e12i | 0.415173 | + | 0.719101i | ||||
\(747\) | 3.35061e12 | − | 5.80342e12i | 0.393714 | − | 0.681932i | ||||
\(748\) | 2.28135e12 | 0.266462 | ||||||||
\(749\) | 9.91549e11 | − | 6.26983e11i | 0.115119 | − | 0.0727927i | ||||
\(750\) | 1.12928e12 | 0.130324 | ||||||||
\(751\) | 2.75196e12 | − | 4.76654e12i | 0.315691 | − | 0.546794i | −0.663893 | − | 0.747828i | \(-0.731097\pi\) |
0.979584 | + | 0.201034i | \(0.0644302\pi\) | |||||||
\(752\) | −9.88061e11 | − | 1.71137e12i | −0.112669 | − | 0.195148i | ||||
\(753\) | −4.14576e10 | − | 7.18067e10i | −0.00469923 | − | 0.00813931i | ||||
\(754\) | −2.12151e12 | + | 3.67456e12i | −0.239042 | + | 0.414032i | ||||
\(755\) | −1.19242e13 | −1.33557 | ||||||||
\(756\) | 6.05404e10 | + | 1.50323e12i | 0.00674058 | + | 0.167369i | ||||
\(757\) | 1.41842e13 | 1.56991 | 0.784955 | − | 0.619553i | \(-0.212686\pi\) | ||||
0.784955 | + | 0.619553i | \(0.212686\pi\) | |||||||
\(758\) | 2.85546e12 | − | 4.94580e12i | 0.314170 | − | 0.544159i | ||||
\(759\) | 2.40052e11 | + | 4.15782e11i | 0.0262553 | + | 0.0454755i | ||||
\(760\) | −1.78302e12 | − | 3.08828e12i | −0.193863 | − | 0.335781i | ||||
\(761\) | −5.00695e12 | + | 8.67229e12i | −0.541180 | + | 0.937352i | 0.457656 | + | 0.889129i | \(0.348689\pi\) |
−0.998837 | + | 0.0482227i | \(0.984644\pi\) | |||||||
\(762\) | 7.29102e11 | 0.0783414 | ||||||||
\(763\) | −3.08497e11 | − | 7.66001e12i | −0.0329526 | − | 0.818218i | ||||
\(764\) | 1.48992e12 | 0.158213 | ||||||||
\(765\) | 1.23063e12 | − | 2.13151e12i | 0.129912 | − | 0.225014i | ||||
\(766\) | 1.21978e12 | + | 2.11273e12i | 0.128013 | + | 0.221724i | ||||
\(767\) | 4.59746e12 | + | 7.96303e12i | 0.479665 | + | 0.830805i | ||||
\(768\) | 5.12061e10 | − | 8.86916e10i | 0.00531124 | − | 0.00919935i | ||||
\(769\) | 1.39641e12 | 0.143994 | 0.0719968 | − | 0.997405i | \(-0.477063\pi\) | ||||
0.0719968 | + | 0.997405i | \(0.477063\pi\) | |||||||
\(770\) | 6.96514e12 | − | 4.40424e12i | 0.714038 | − | 0.451506i | ||||
\(771\) | −1.79822e12 | −0.183273 | ||||||||
\(772\) | −3.05387e12 | + | 5.28945e12i | −0.309437 | + | 0.535960i | ||||
\(773\) | 3.71378e12 | + | 6.43246e12i | 0.374118 | + | 0.647992i | 0.990195 | − | 0.139695i | \(-0.0446121\pi\) |
−0.616077 | + | 0.787686i | \(0.711279\pi\) | |||||||
\(774\) | 7.28546e11 | + | 1.26188e12i | 0.0729663 | + | 0.126381i | ||||
\(775\) | 2.13607e12 | − | 3.69979e12i | 0.212696 | − | 0.368400i | ||||
\(776\) | 5.42838e12 | 0.537394 | ||||||||
\(777\) | 4.16969e11 | + | 2.18856e11i | 0.0410402 | + | 0.0215409i | ||||
\(778\) | 8.91389e12 | 0.872286 | ||||||||
\(779\) | −8.35896e12 | + | 1.44781e13i | −0.813268 | + | 1.40862i | ||||
\(780\) | −1.65376e11 | − | 2.86440e11i | −0.0159973 | − | 0.0277081i | ||||
\(781\) | 6.30515e12 | + | 1.09208e13i | 0.606409 | + | 1.05033i | ||||
\(782\) | −2.55812e11 | + | 4.43079e11i | −0.0244619 | + | 0.0423692i | ||||
\(783\) | −4.90065e12 | −0.465935 | ||||||||
\(784\) | −2.63605e12 | + | 2.12672e11i | −0.249190 | + | 0.0201042i | ||||
\(785\) | −7.36353e12 | −0.692106 | ||||||||
\(786\) | −1.15464e12 | + | 1.99989e12i | −0.107906 | + | 0.186898i | ||||
\(787\) | 2.15657e12 | + | 3.73529e12i | 0.200391 | + | 0.347087i | 0.948654 | − | 0.316314i | \(-0.102445\pi\) |
−0.748264 | + | 0.663402i | \(0.769112\pi\) | |||||||
\(788\) | 1.44981e12 | + | 2.51115e12i | 0.133950 | + | 0.232009i | ||||
\(789\) | 1.40213e12 | − | 2.42856e12i | 0.128808 | − | 0.223101i | ||||
\(790\) | −7.16489e12 | −0.654467 | ||||||||
\(791\) | −1.78335e12 | − | 9.36029e11i | −0.161972 | − | 0.0850149i | ||||
\(792\) | −5.86481e12 | −0.529652 | ||||||||
\(793\) | 1.32702e12 | − | 2.29847e12i | 0.119165 | − | 0.206400i | ||||
\(794\) | −6.92729e12 | − | 1.19984e13i | −0.618545 | − | 1.07135i | ||||
\(795\) | 7.37796e11 | + | 1.27790e12i | 0.0655064 | + | 0.113460i | ||||
\(796\) | −2.24367e12 | + | 3.88615e12i | −0.198084 | + | 0.343092i | ||||
\(797\) | −6.97760e12 | −0.612553 | −0.306276 | − | 0.951943i | \(-0.599083\pi\) | ||||
−0.306276 | + | 0.951943i | \(0.599083\pi\) | |||||||
\(798\) | −1.64766e12 | + | 1.04186e12i | −0.143831 | + | 0.0909484i | ||||
\(799\) | 3.58718e12 | 0.311382 | ||||||||
\(800\) | 4.09787e11 | − | 7.09771e11i | 0.0353715 | − | 0.0612652i | ||||
\(801\) | 4.94560e12 | + | 8.56602e12i | 0.424495 | + | 0.735246i | ||||
\(802\) | 5.41193e12 | + | 9.37373e12i | 0.461921 | + | 0.800070i | ||||
\(803\) | 1.74043e13 | − | 3.01451e13i | 1.47719 | − | 2.55857i | ||||
\(804\) | −1.05900e12 | −0.0893811 | ||||||||
\(805\) | 7.43696e10 | + | 1.84661e12i | 0.00624186 | + | 0.154986i | ||||
\(806\) | −4.37798e12 | −0.365398 | ||||||||
\(807\) | −8.85314e11 | + | 1.53341e12i | −0.0734796 | + | 0.127270i | ||||
\(808\) | −1.29672e11 | − | 2.24598e11i | −0.0107027 | − | 0.0185376i | ||||
\(809\) | −1.14195e11 | − | 1.97791e11i | −0.00937296 | − | 0.0162344i | 0.861301 | − | 0.508095i | \(-0.169650\pi\) |
−0.870674 | + | 0.491861i | \(0.836317\pi\) | |||||||
\(810\) | −3.06674e12 | + | 5.31175e12i | −0.250319 | + | 0.433566i | ||||
\(811\) | −1.24712e12 | −0.101231 | −0.0506156 | − | 0.998718i | \(-0.516118\pi\) | ||||
−0.0506156 | + | 0.998718i | \(0.516118\pi\) | |||||||
\(812\) | −3.46664e11 | − | 8.60772e12i | −0.0279838 | − | 0.694842i | ||||
\(813\) | −1.91709e12 | −0.153899 | ||||||||
\(814\) | −1.86308e12 | + | 3.22695e12i | −0.148738 | + | 0.257622i | ||||
\(815\) | −1.11840e12 | − | 1.93713e12i | −0.0887950 | − | 0.153798i | ||||
\(816\) | 9.29527e10 | + | 1.60999e11i | 0.00733933 | + | 0.0127121i | ||||
\(817\) | −1.91614e12 | + | 3.31885e12i | −0.150463 | + | 0.260609i | ||||
\(818\) | −4.46468e12 | −0.348658 | ||||||||
\(819\) | 5.13759e12 | − | 3.24864e12i | 0.399008 | − | 0.252304i | ||||
\(820\) | 5.75897e12 | 0.444818 | ||||||||
\(821\) | 2.13203e11 | − | 3.69278e11i | 0.0163775 | − | 0.0283667i | −0.857720 | − | 0.514116i | \(-0.828120\pi\) |
0.874098 | + | 0.485750i | \(0.161453\pi\) | |||||||
\(822\) | 9.52953e11 | + | 1.65056e12i | 0.0728029 | + | 0.126098i | ||||
\(823\) | 5.10619e11 | + | 8.84418e11i | 0.0387970 | + | 0.0671983i | 0.884772 | − | 0.466024i | \(-0.154314\pi\) |
−0.845975 | + | 0.533223i | \(0.820981\pi\) | |||||||
\(824\) | 2.31248e12 | − | 4.00533e12i | 0.174745 | − | 0.302667i | ||||
\(825\) | 1.39609e12 | 0.104923 | ||||||||
\(826\) | −1.65301e13 | − | 8.67617e12i | −1.23556 | − | 0.648511i | ||||
\(827\) | −5.09034e12 | −0.378418 | −0.189209 | − | 0.981937i | \(-0.560592\pi\) | ||||
−0.189209 | + | 0.981937i | \(0.560592\pi\) | |||||||
\(828\) | 6.57630e11 | − | 1.13905e12i | 0.0486234 | − | 0.0842182i | ||||
\(829\) | −6.45038e12 | − | 1.11724e13i | −0.474340 | − | 0.821582i | 0.525228 | − | 0.850962i | \(-0.323980\pi\) |
−0.999568 | + | 0.0293800i | \(0.990647\pi\) | |||||||
\(830\) | −3.03568e12 | − | 5.25796e12i | −0.222027 | − | 0.384562i | ||||
\(831\) | −1.55679e12 | + | 2.69645e12i | −0.113247 | + | 0.196149i | ||||
\(832\) | −8.39877e11 | −0.0607660 | ||||||||
\(833\) | 2.05823e12 | − | 4.33707e12i | 0.148112 | − | 0.312100i | ||||
\(834\) | 2.05966e12 | 0.147418 | ||||||||
\(835\) | 3.65718e11 | − | 6.33442e11i | 0.0260350 | − | 0.0450939i | ||||
\(836\) | −7.71249e12 | − | 1.33584e13i | −0.546093 | − | 0.945861i | ||||
\(837\) | −2.52827e12 | − | 4.37909e12i | −0.178057 | − | 0.308403i | ||||
\(838\) | 7.69875e11 | − | 1.33346e12i | 0.0539290 | − | 0.0934078i | ||||
\(839\) | −6.08459e12 | −0.423938 | −0.211969 | − | 0.977276i | \(-0.567988\pi\) | ||||
−0.211969 | + | 0.977276i | \(0.567988\pi\) | |||||||
\(840\) | 5.94606e11 | + | 3.12092e11i | 0.0412071 | + | 0.0216285i | ||||
\(841\) | 1.35548e13 | 0.934353 | ||||||||
\(842\) | −3.48349e11 | + | 6.03359e11i | −0.0238842 | + | 0.0413687i | ||||
\(843\) | −7.43153e11 | − | 1.28718e12i | −0.0506821 | − | 0.0877839i | ||||
\(844\) | 4.00153e12 | + | 6.93086e12i | 0.271447 | + | 0.470161i | ||||
\(845\) | 4.38274e12 | − | 7.59113e12i | 0.295727 | − | 0.512214i | ||||
\(846\) | −9.22179e12 | −0.618940 | ||||||||
\(847\) | 1.74677e13 | − | 1.10453e13i | 1.16617 | − | 0.737400i | ||||
\(848\) | 3.74696e12 | 0.248827 | ||||||||
\(849\) | 8.08709e9 | − | 1.40073e10i | 0.000534205 | − | 0.000925270i | ||||
\(850\) | 7.43872e11 | + | 1.28842e12i | 0.0488779 | + | 0.0846591i | ||||
\(851\) | −4.17821e11 | − | 7.23686e11i | −0.0273091 | − | 0.0473007i | ||||
\(852\) | −5.13801e11 | + | 8.89929e11i | −0.0334054 | + | 0.0578598i | ||||
\(853\) | 1.69683e13 | 1.09741 | 0.548703 | − | 0.836017i | \(-0.315122\pi\) | ||||
0.548703 | + | 0.836017i | \(0.315122\pi\) | |||||||
\(854\) | 2.16842e11 | + | 5.38420e12i | 0.0139503 | + | 0.346387i | ||||
\(855\) | −1.66413e13 | −1.06498 | ||||||||
\(856\) | −3.78218e11 | + | 6.55092e11i | −0.0240774 | + | 0.0417033i | ||||
\(857\) | 2.35529e12 | + | 4.07948e12i | 0.149152 | + | 0.258339i | 0.930914 | − | 0.365237i | \(-0.119012\pi\) |
−0.781762 | + | 0.623577i | \(0.785679\pi\) | |||||||
\(858\) | −7.15337e11 | − | 1.23900e12i | −0.0450628 | − | 0.0780510i | ||||
\(859\) | −4.02258e12 | + | 6.96732e12i | −0.252079 | + | 0.436613i | −0.964098 | − | 0.265547i | \(-0.914447\pi\) |
0.712019 | + | 0.702160i | \(0.247781\pi\) | |||||||
\(860\) | 1.32014e12 | 0.0822957 | ||||||||
\(861\) | −1.26687e11 | − | 3.14566e12i | −0.00785630 | − | 0.195073i | ||||
\(862\) | 1.24184e13 | 0.766093 | ||||||||
\(863\) | −8.78137e12 | + | 1.52098e13i | −0.538907 | + | 0.933414i | 0.460056 | + | 0.887890i | \(0.347829\pi\) |
−0.998963 | + | 0.0455244i | \(0.985504\pi\) | |||||||
\(864\) | −4.85026e11 | − | 8.40089e11i | −0.0296110 | − | 0.0512877i | ||||
\(865\) | 1.05215e13 | + | 1.82237e13i | 0.639004 | + | 1.10679i | ||||
\(866\) | −4.78107e12 | + | 8.28106e12i | −0.288865 | + | 0.500329i | ||||
\(867\) | 2.49023e12 | 0.149676 | ||||||||
\(868\) | 7.51278e12 | − | 4.75053e12i | 0.449223 | − | 0.284056i | ||||
\(869\) | −3.09919e13 | −1.84357 | ||||||||
\(870\) | −1.09374e12 | + | 1.89442e12i | −0.0647260 | + | 0.112109i | ||||
\(871\) | 4.34242e12 | + | 7.52129e12i | 0.255653 | + | 0.442803i | ||||
\(872\) | 2.47155e12 | + | 4.28086e12i | 0.144759 | + | 0.250730i | ||||
\(873\) | 1.26661e13 | − | 2.19383e13i | 0.738037 | − | 1.27832i | ||||
\(874\) | 3.45925e12 | 0.200531 | ||||||||
\(875\) | 1.66491e13 | + | 8.73867e12i | 0.960186 | + | 0.503975i | ||||
\(876\) | 2.83652e12 | 0.162748 | ||||||||
\(877\) | −4.21010e12 | + | 7.29210e12i | −0.240322 | + | 0.416250i | −0.960806 | − | 0.277221i | \(-0.910586\pi\) |
0.720484 | + | 0.693472i | \(0.243920\pi\) | |||||||
\(878\) | 2.55867e12 | + | 4.43174e12i | 0.145308 | + | 0.251680i | ||||
\(879\) | 6.76194e10 | + | 1.17120e11i | 0.00382051 | + | 0.00661732i | ||||
\(880\) | −2.65679e12 | + | 4.60170e12i | −0.149343 | + | 0.258670i | ||||
\(881\) | −3.03091e13 | −1.69504 | −0.847522 | − | 0.530760i | \(-0.821907\pi\) | ||||
−0.847522 | + | 0.530760i | \(0.821907\pi\) | |||||||
\(882\) | −5.29121e12 | + | 1.11496e13i | −0.294406 | + | 0.620368i | ||||
\(883\) | −2.44649e12 | −0.135432 | −0.0677159 | − | 0.997705i | \(-0.521571\pi\) | ||||
−0.0677159 | + | 0.997705i | \(0.521571\pi\) | |||||||
\(884\) | 7.62300e11 | − | 1.32034e12i | 0.0419847 | − | 0.0727196i | ||||
\(885\) | 2.37022e12 | + | 4.10534e12i | 0.129880 | + | 0.224959i | ||||
\(886\) | 3.53679e12 | + | 6.12590e12i | 0.192822 | + | 0.333978i | ||||
\(887\) | −1.02686e13 | + | 1.77858e13i | −0.557001 | + | 0.964753i | 0.440744 | + | 0.897633i | \(0.354715\pi\) |
−0.997745 | + | 0.0671207i | \(0.978619\pi\) | |||||||
\(888\) | −3.03642e11 | −0.0163871 | ||||||||
\(889\) | 1.07493e13 | + | 5.64200e12i | 0.577193 | + | 0.302953i | ||||
\(890\) | 8.96152e12 | 0.478770 | ||||||||
\(891\) | −1.32652e13 | + | 2.29761e13i | −0.705123 | + | 1.22131i | ||||
\(892\) | −3.51131e12 | − | 6.08176e12i | −0.185706 | − | 0.321653i | ||||
\(893\) | −1.21271e13 | − | 2.10047e13i | −0.638152 | − | 1.10531i | ||||
\(894\) | 1.19213e11 | − | 2.06483e11i | 0.00624173 | − | 0.0108110i | ||||
\(895\) | 4.43391e12 | 0.230985 | ||||||||
\(896\) | 1.44126e12 | − | 9.11347e11i | 0.0747061 | − | 0.0472387i | ||||
\(897\) | 3.20847e11 | 0.0165475 | ||||||||
\(898\) | 6.35167e12 | − | 1.10014e13i | 0.325945 | − | 0.564554i | ||||
\(899\) | 1.44773e13 | + | 2.50754e13i | 0.739211 | + | 1.28035i | ||||
\(900\) | −1.91231e12 | − | 3.31223e12i | −0.0971556 | − | 0.168278i | ||||
\(901\) | −3.40087e12 | + | 5.89047e12i | −0.171921 | + | 0.297775i | ||||
\(902\) | 2.49105e13 | 1.25301 | ||||||||
\(903\) | −2.90407e10 | − | 7.21085e11i | −0.00145349 | − | 0.0360904i | ||||
\(904\) | 1.29865e12 | 0.0646748 | ||||||||
\(905\) | 1.30926e13 | − | 2.26771e13i | 0.648796 | − | 1.12375i | ||||
\(906\) | −2.10153e12 | − | 3.63996e12i | −0.103624 | − | 0.179481i | ||||
\(907\) | −6.75232e12 | − | 1.16954e13i | −0.331299 | − | 0.573827i | 0.651468 | − | 0.758676i | \(-0.274154\pi\) |
−0.982767 | + | 0.184849i | \(0.940820\pi\) | |||||||
\(908\) | −1.48046e12 | + | 2.56423e12i | −0.0722787 | + | 0.125190i | ||||
\(909\) | −1.21025e12 | −0.0587948 | ||||||||
\(910\) | −2.21616e11 | − | 5.50275e12i | −0.0107131 | − | 0.266007i | ||||
\(911\) | 2.83771e13 | 1.36501 | 0.682504 | − | 0.730882i | \(-0.260891\pi\) | ||||
0.682504 | + | 0.730882i | \(0.260891\pi\) | |||||||
\(912\) | 6.28484e11 | − | 1.08857e12i | 0.0300827 | − | 0.0521048i | ||||
\(913\) | −1.31309e13 | − | 2.27434e13i | −0.625426 | − | 1.08327i | ||||
\(914\) | −7.77276e11 | − | 1.34628e12i | −0.0368398 | − | 0.0638084i | ||||
\(915\) | 6.84146e11 | − | 1.18498e12i | 0.0322667 | − | 0.0558875i | ||||
\(916\) | 1.08488e13 | 0.509159 | ||||||||
\(917\) | −3.24987e13 | + | 2.05498e13i | −1.51776 | + | 0.959723i | ||||
\(918\) | 1.76090e12 | 0.0818357 | ||||||||
\(919\) | 1.30106e13 | − | 2.25350e13i | 0.601696 | − | 1.04217i | −0.390868 | − | 0.920447i | \(-0.627825\pi\) |
0.992564 | − | 0.121722i | \(-0.0388415\pi\) | |||||||
\(920\) | −5.95820e11 | − | 1.03199e12i | −0.0274201 | − | 0.0474931i | ||||
\(921\) | −2.15998e12 | − | 3.74120e12i | −0.0989196 | − | 0.171334i | ||||
\(922\) | −7.16953e12 | + | 1.24180e13i | −0.326739 | + | 0.565929i | ||||
\(923\) | 8.42730e12 | 0.382191 | ||||||||
\(924\) | 2.57198e12 | + | 1.34996e12i | 0.116076 | + | 0.0609252i | ||||
\(925\) | −2.42995e12 | −0.109134 | ||||||||
\(926\) | 5.51493e12 | − | 9.55213e12i | 0.246485 | − | 0.426924i | ||||
\(927\) | −1.07914e13 | − | 1.86913e13i | −0.479977 | − | 0.831344i | ||||
\(928\) | 2.77734e12 | + | 4.81049e12i | 0.122931 | + | 0.212923i | ||||
\(929\) | 8.52205e12 | − | 1.47606e13i | 0.375382 | − | 0.650181i | −0.615002 | − | 0.788525i | \(-0.710845\pi\) |
0.990384 | + | 0.138345i | \(0.0441782\pi\) | |||||||
\(930\) | −2.25707e12 | −0.0989399 | ||||||||
\(931\) | −3.23538e13 | + | 2.61025e12i | −1.41141 | + | 0.113870i | ||||
\(932\) | −2.18206e13 | −0.947318 | ||||||||
\(933\) | 1.23762e12 | − | 2.14361e12i | 0.0534710 | − | 0.0926145i | ||||
\(934\) | 3.00464e12 | + | 5.20419e12i | 0.129191 | + | 0.223765i | ||||
\(935\) | −4.82278e12 | − | 8.35330e12i | −0.206369 | − | 0.357442i | ||||
\(936\) | −1.95969e12 | + | 3.39428e12i | −0.0834538 | + | 0.144546i | ||||
\(937\) | 1.17078e13 | 0.496188 | 0.248094 | − | 0.968736i | \(-0.420196\pi\) | ||||
0.248094 | + | 0.968736i | \(0.420196\pi\) | |||||||
\(938\) | −1.56131e13 | − | 8.19487e12i | −0.658530 | − | 0.345644i | ||||
\(939\) | 3.54962e12 | 0.149000 | ||||||||
\(940\) | −4.17752e12 | + | 7.23567e12i | −0.174519 | + | 0.302276i | ||||
\(941\) | 7.99721e12 | + | 1.38516e13i | 0.332495 | + | 0.575898i | 0.983000 | − | 0.183603i | \(-0.0587762\pi\) |
−0.650505 | + | 0.759502i | \(0.725443\pi\) | |||||||
\(942\) | −1.29776e12 | − | 2.24778e12i | −0.0536988 | − | 0.0930090i | ||||
\(943\) | −2.79325e12 | + | 4.83806e12i | −0.115029 | + | 0.199236i | ||||
\(944\) | 1.20374e13 | 0.493353 | ||||||||
\(945\) | 5.37616e12 | − | 3.39949e12i | 0.219295 | − | 0.138666i | ||||
\(946\) | 5.71029e12 | 0.231819 | ||||||||
\(947\) | 1.35192e13 | − | 2.34159e13i | 0.546231 | − | 0.946099i | −0.452298 | − | 0.891867i | \(-0.649396\pi\) |
0.998528 | − | 0.0542323i | \(-0.0172712\pi\) | |||||||
\(948\) | −1.26275e12 | − | 2.18715e12i | −0.0507784 | − | 0.0879509i | ||||
\(949\) | −1.16311e13 | − | 2.01456e13i | −0.465502 | − | 0.806273i | ||||
\(950\) | 5.02956e12 | − | 8.71145e12i | 0.200343 | − | 0.347004i | ||||
\(951\) | −4.71407e12 | −0.186889 | ||||||||
\(952\) | 1.24563e11 | + | 3.09292e12i | 0.00491500 | + | 0.122040i | ||||
\(953\) | −3.10710e13 | −1.22022 | −0.610108 | − | 0.792318i | \(-0.708874\pi\) | ||||
−0.610108 | + | 0.792318i | \(0.708874\pi\) | |||||||
\(954\) | 8.74280e12 | − | 1.51430e13i | 0.341730 | − | 0.591894i | ||||
\(955\) | −3.14968e12 | − | 5.45541e12i | −0.122532 | − | 0.212233i | ||||
\(956\) | −2.32104e12 | − | 4.02016e12i | −0.0898716 | − | 0.155662i | ||||
\(957\) | −4.73101e12 | + | 8.19434e12i | −0.182326 | + | 0.315799i | ||||
\(958\) | −1.89117e13 | −0.725415 | ||||||||
\(959\) | 1.27703e12 | + | 3.17087e13i | 0.0487547 | + | 1.21058i | ||||
\(960\) | −4.32999e11 | −0.0164538 | ||||||||
\(961\) | −1.71799e12 | + | 2.97564e12i | −0.0649777 | + | 0.112545i | ||||
\(962\) | 1.24507e12 | + | 2.15653e12i | 0.0468714 | + | 0.0811836i | ||||
\(963\) | 1.76499e12 | + | 3.05706e12i | 0.0661340 | + | 0.114547i | ||||
\(964\) | −3.18970e12 | + | 5.52473e12i | −0.118961 | + | 0.206046i | ||||
\(965\) | 2.58235e13 | 0.958610 | ||||||||
\(966\) | −5.50585e11 | + | 3.48150e11i | −0.0203436 | + | 0.0128638i | ||||
\(967\) | −1.42603e13 | −0.524457 | −0.262228 | − | 0.965006i | \(-0.584457\pi\) | ||||
−0.262228 | + | 0.965006i | \(0.584457\pi\) | |||||||
\(968\) | −6.66292e12 | + | 1.15405e13i | −0.243908 | + | 0.422460i | ||||
\(969\) | 1.14086e12 | + | 1.97604e12i | 0.0415697 | + | 0.0720009i | ||||
\(970\) | −1.14756e13 | − | 1.98763e13i | −0.416200 | − | 0.720880i | ||||
\(971\) | −1.29280e13 | + | 2.23920e13i | −0.466709 | + | 0.808364i | −0.999277 | − | 0.0380235i | \(-0.987894\pi\) |
0.532568 | + | 0.846387i | \(0.321227\pi\) | |||||||
\(972\) | −6.82345e12 | −0.245192 | ||||||||
\(973\) | 3.03660e13 | + | 1.59382e13i | 1.08612 | + | 0.570076i | ||||
\(974\) | −4.45548e12 | −0.158628 | ||||||||
\(975\) | 4.66494e11 | − | 8.07991e11i | 0.0165320 | − | 0.0286342i | ||||
\(976\) | −1.73725e12 | − | 3.00900e12i | −0.0612827 | − | 0.106145i | ||||
\(977\) | −5.41303e12 | − | 9.37565e12i | −0.190071 | − | 0.329212i | 0.755203 | − | 0.655491i | \(-0.227538\pi\) |
−0.945273 | + | 0.326279i | \(0.894205\pi\) | |||||||
\(978\) | 3.94217e11 | − | 6.82804e11i | 0.0137788 | − | 0.0238655i | ||||
\(979\) | 3.87632e13 | 1.34865 | ||||||||
\(980\) | 6.35131e12 | + | 9.20245e12i | 0.219961 | + | 0.318703i | ||||
\(981\) | 2.30676e13 | 0.795227 | ||||||||
\(982\) | −6.37598e11 | + | 1.10435e12i | −0.0218799 | + | 0.0378971i | ||||
\(983\) | 1.38301e13 | + | 2.39545e13i | 0.472428 | + | 0.818269i | 0.999502 | − | 0.0315503i | \(-0.0100444\pi\) |
−0.527074 | + | 0.849819i | \(0.676711\pi\) | |||||||
\(984\) | 1.01497e12 | + | 1.75798e12i | 0.0345123 | + | 0.0597771i | ||||
\(985\) | 6.12981e12 | − | 1.06171e13i | 0.207484 | − | 0.359372i | ||||
\(986\) | −1.00832e13 | −0.339745 | ||||||||
\(987\) | 4.04416e12 | + | 2.12267e12i | 0.135644 | + | 0.0711958i | ||||
\(988\) | −1.03083e13 | −0.344177 | ||||||||
\(989\) | −6.40303e11 | + | 1.10904e12i | −0.0212815 | + | 0.0368607i | ||||
\(990\) | 1.23982e13 | + | 2.14743e13i | 0.410204 | + | 0.710495i | ||||
\(991\) | 1.35483e13 | + | 2.34663e13i | 0.446223 | + | 0.772881i | 0.998137 | − | 0.0610206i | \(-0.0194355\pi\) |
−0.551914 | + | 0.833901i | \(0.686102\pi\) | |||||||
\(992\) | −2.86568e12 | + | 4.96351e12i | −0.0939562 | + | 0.162737i | ||||
\(993\) | −1.33025e12 | −0.0434172 | ||||||||
\(994\) | −1.44616e13 | + | 9.14443e12i | −0.469869 | + | 0.297110i | ||||
\(995\) | 1.89724e13 | 0.613648 | ||||||||
\(996\) | 1.07002e12 | − | 1.85334e12i | 0.0344530 | − | 0.0596743i | ||||
\(997\) | −1.56566e13 | − | 2.71180e13i | −0.501845 | − | 0.869221i | −0.999998 | − | 0.00213142i | \(-0.999322\pi\) |
0.498153 | − | 0.867089i | \(-0.334012\pi\) | |||||||
\(998\) | −2.55898e12 | − | 4.43228e12i | −0.0816543 | − | 0.141429i | ||||
\(999\) | −1.43805e12 | + | 2.49078e12i | −0.0456804 | + | 0.0791207i |
(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 | 14.10.c.a.9.3 | ✓ | 6 | |
3.2 | odd | 2 | 126.10.g.f.37.2 | 6 | |||
4.3 | odd | 2 | 112.10.i.b.65.1 | 6 | |||
7.2 | even | 3 | 98.10.a.j.1.1 | 3 | |||
7.3 | odd | 6 | 98.10.c.k.67.1 | 6 | |||
7.4 | even | 3 | inner | 14.10.c.a.11.3 | yes | 6 | |
7.5 | odd | 6 | 98.10.a.i.1.3 | 3 | |||
7.6 | odd | 2 | 98.10.c.k.79.1 | 6 | |||
21.11 | odd | 6 | 126.10.g.f.109.2 | 6 | |||
28.11 | odd | 6 | 112.10.i.b.81.1 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
14.10.c.a.9.3 | ✓ | 6 | 1.1 | even | 1 | trivial | |
14.10.c.a.11.3 | yes | 6 | 7.4 | even | 3 | inner | |
98.10.a.i.1.3 | 3 | 7.5 | odd | 6 | |||
98.10.a.j.1.1 | 3 | 7.2 | even | 3 | |||
98.10.c.k.67.1 | 6 | 7.3 | odd | 6 | |||
98.10.c.k.79.1 | 6 | 7.6 | odd | 2 | |||
112.10.i.b.65.1 | 6 | 4.3 | odd | 2 | |||
112.10.i.b.81.1 | 6 | 28.11 | odd | 6 | |||
126.10.g.f.37.2 | 6 | 3.2 | odd | 2 | |||
126.10.g.f.109.2 | 6 | 21.11 | odd | 6 |