Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [21,11,Mod(10,21)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(21, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 11, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("21.10");
S:= CuspForms(chi, 11);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 21 = 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 11 \) |
Character orbit: | \([\chi]\) | \(=\) | 21.f (of order \(6\), 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: | \(13.3425023061\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - x^{11} + 3773 x^{10} + 44516 x^{9} + 11068388 x^{8} + 100480832 x^{7} + 11177140432 x^{6} + 67553728512 x^{5} + 8140577253696 x^{4} + \cdots + 30\!\cdots\!00 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{10}\cdot 3^{7}\cdot 7^{7} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 10.4 | ||
Root | \(-10.2102 - 17.6846i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 21.10 |
Dual form | 21.11.f.a.19.4 |
$q$-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 \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).
\(n\) | \(8\) | \(10\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 11.2102 | + | 19.4166i | 0.350319 | + | 0.606770i | 0.986305 | − | 0.164930i | \(-0.0527399\pi\) |
−0.635986 | + | 0.771700i | \(0.719407\pi\) | |||||||
\(3\) | −121.500 | − | 70.1481i | −0.500000 | − | 0.288675i | ||||
\(4\) | 260.663 | − | 451.481i | 0.254553 | − | 0.440899i | ||||
\(5\) | −354.602 | + | 204.730i | −0.113473 | + | 0.0655134i | −0.555662 | − | 0.831408i | \(-0.687535\pi\) |
0.442190 | + | 0.896922i | \(0.354202\pi\) | |||||||
\(6\) | − | 3145.50i | − | 0.404513i | ||||||
\(7\) | −12291.7 | + | 11462.5i | −0.731347 | + | 0.682006i | ||||
\(8\) | 34646.8 | 1.05734 | ||||||||
\(9\) | 9841.50 | + | 17046.0i | 0.166667 | + | 0.288675i | ||||
\(10\) | −7950.32 | − | 4590.12i | −0.0795032 | − | 0.0459012i | ||||
\(11\) | −96426.7 | + | 167016.i | −0.598734 | + | 1.03704i | 0.394274 | + | 0.918993i | \(0.370996\pi\) |
−0.993008 | + | 0.118045i | \(0.962337\pi\) | |||||||
\(12\) | −63341.0 | + | 36570.0i | −0.254553 | + | 0.146966i | ||||
\(13\) | 402089.i | 1.08294i | 0.840719 | + | 0.541472i | \(0.182133\pi\) | ||||
−0.840719 | + | 0.541472i | \(0.817867\pi\) | |||||||
\(14\) | −360356. | − | 110168.i | −0.670025 | − | 0.204840i | ||||
\(15\) | 57445.5 | 0.0756484 | ||||||||
\(16\) | 121479. | + | 210408.i | 0.115852 | + | 0.200661i | ||||
\(17\) | −1.52683e6 | − | 881513.i | −1.07534 | − | 0.620846i | −0.145702 | − | 0.989328i | \(-0.546544\pi\) |
−0.929635 | + | 0.368482i | \(0.879878\pi\) | |||||||
\(18\) | −220650. | + | 382178.i | −0.116773 | + | 0.202257i | ||||
\(19\) | −1.84304e6 | + | 1.06408e6i | −0.744333 | + | 0.429741i | −0.823643 | − | 0.567109i | \(-0.808062\pi\) |
0.0793097 | + | 0.996850i | \(0.474728\pi\) | |||||||
\(20\) | 213461.i | 0.0667067i | ||||||||
\(21\) | 2.29752e6 | − | 530449.i | 0.562551 | − | 0.129881i | ||||
\(22\) | −4.32385e6 | −0.838991 | ||||||||
\(23\) | 2.62281e6 | + | 4.54283e6i | 0.407499 | + | 0.705810i | 0.994609 | − | 0.103698i | \(-0.0330675\pi\) |
−0.587109 | + | 0.809508i | \(0.699734\pi\) | |||||||
\(24\) | −4.20959e6 | − | 2.43041e6i | −0.528669 | − | 0.305227i | ||||
\(25\) | −4.79898e6 | + | 8.31208e6i | −0.491416 | + | 0.851157i | ||||
\(26\) | −7.80723e6 | + | 4.50750e6i | −0.657098 | + | 0.379376i | ||||
\(27\) | − | 2.76145e6i | − | 0.192450i | ||||||
\(28\) | 1.97109e6 | + | 8.53733e6i | 0.114529 | + | 0.496057i | ||||
\(29\) | −1.81738e6 | −0.0886044 | −0.0443022 | − | 0.999018i | \(-0.514106\pi\) | ||||
−0.0443022 | + | 0.999018i | \(0.514106\pi\) | |||||||
\(30\) | 643976. | + | 1.11540e6i | 0.0265011 | + | 0.0459012i | ||||
\(31\) | 3.01113e7 | + | 1.73848e7i | 1.05177 | + | 0.607241i | 0.923145 | − | 0.384452i | \(-0.125610\pi\) |
0.128627 | + | 0.991693i | \(0.458943\pi\) | |||||||
\(32\) | 1.50156e7 | − | 2.60077e7i | 0.447498 | − | 0.775090i | ||||
\(33\) | 2.34317e7 | − | 1.35283e7i | 0.598734 | − | 0.345679i | ||||
\(34\) | − | 3.95278e7i | − | 0.869977i | ||||||
\(35\) | 2.01197e6 | − | 6.58110e6i | 0.0383072 | − | 0.125302i | ||||
\(36\) | 1.02612e7 | 0.169702 | ||||||||
\(37\) | −1.14229e7 | − | 1.97850e7i | −0.164728 | − | 0.285317i | 0.771831 | − | 0.635828i | \(-0.219341\pi\) |
−0.936559 | + | 0.350511i | \(0.886008\pi\) | |||||||
\(38\) | −4.13217e7 | − | 2.38571e7i | −0.521508 | − | 0.301093i | ||||
\(39\) | 2.82058e7 | − | 4.88539e7i | 0.312619 | − | 0.541472i | ||||
\(40\) | −1.22858e7 | + | 7.09323e6i | −0.119979 | + | 0.0692698i | ||||
\(41\) | − | 1.15604e8i | − | 0.997822i | −0.866653 | − | 0.498911i | \(-0.833733\pi\) | ||
0.866653 | − | 0.498911i | \(-0.166267\pi\) | |||||||
\(42\) | 3.60552e7 | + | 3.86636e7i | 0.275881 | + | 0.295839i | ||||
\(43\) | 2.21239e8 | 1.50494 | 0.752469 | − | 0.658628i | \(-0.228863\pi\) | ||||
0.752469 | + | 0.658628i | \(0.228863\pi\) | |||||||
\(44\) | 5.02697e7 | + | 8.70697e7i | 0.304820 | + | 0.527963i | ||||
\(45\) | −6.97963e6 | − | 4.02969e6i | −0.0378242 | − | 0.0218378i | ||||
\(46\) | −5.88044e7 | + | 1.01852e8i | −0.285509 | + | 0.494517i | ||||
\(47\) | −2.74103e8 | + | 1.58253e8i | −1.19515 | + | 0.690023i | −0.959471 | − | 0.281807i | \(-0.909066\pi\) |
−0.235684 | + | 0.971830i | \(0.575733\pi\) | |||||||
\(48\) | − | 3.40862e7i | − | 0.133774i | ||||||
\(49\) | 1.96986e7 | − | 2.81788e8i | 0.0697356 | − | 0.997566i | ||||
\(50\) | −2.15190e8 | −0.688609 | ||||||||
\(51\) | 1.23673e8 | + | 2.14208e8i | 0.358446 | + | 0.620846i | ||||
\(52\) | 1.81536e8 | + | 1.04810e8i | 0.477469 | + | 0.275667i | ||||
\(53\) | −1.80041e8 | + | 3.11840e8i | −0.430518 | + | 0.745680i | −0.996918 | − | 0.0784511i | \(-0.975003\pi\) |
0.566400 | + | 0.824131i | \(0.308336\pi\) | |||||||
\(54\) | 5.36181e7 | − | 3.09564e7i | 0.116773 | − | 0.0674189i | ||||
\(55\) | − | 7.89656e7i | − | 0.156901i | ||||||
\(56\) | −4.25870e8 | + | 3.97138e8i | −0.773280 | + | 0.721110i | ||||
\(57\) | 2.98573e8 | 0.496222 | ||||||||
\(58\) | −2.03732e7 | − | 3.52874e7i | −0.0310398 | − | 0.0537625i | ||||
\(59\) | −9.22381e8 | − | 5.32537e8i | −1.29018 | − | 0.744886i | −0.311494 | − | 0.950248i | \(-0.600830\pi\) |
−0.978686 | + | 0.205362i | \(0.934163\pi\) | |||||||
\(60\) | 1.49739e7 | − | 2.59356e7i | 0.0192566 | − | 0.0333533i | ||||
\(61\) | −7.16800e8 | + | 4.13844e8i | −0.848689 | + | 0.489991i | −0.860208 | − | 0.509943i | \(-0.829667\pi\) |
0.0115194 | + | 0.999934i | \(0.496333\pi\) | |||||||
\(62\) | 7.79548e8i | 0.850911i | ||||||||
\(63\) | −3.16358e8 | − | 9.67168e7i | −0.318769 | − | 0.0974539i | ||||
\(64\) | 9.22100e8 | 0.858772 | ||||||||
\(65\) | −8.23196e7 | − | 1.42582e8i | −0.0709474 | − | 0.122884i | ||||
\(66\) | 5.25348e8 | + | 3.03310e8i | 0.419496 | + | 0.242196i | ||||
\(67\) | 1.16507e9 | − | 2.01795e9i | 0.862932 | − | 1.49464i | −0.00615382 | − | 0.999981i | \(-0.501959\pi\) |
0.869086 | − | 0.494661i | \(-0.164708\pi\) | |||||||
\(68\) | −7.95973e8 | + | 4.59555e8i | −0.547461 | + | 0.316077i | ||||
\(69\) | − | 7.35939e8i | − | 0.470540i | ||||||
\(70\) | 1.50337e8 | − | 3.47098e7i | 0.0894493 | − | 0.0206520i | ||||
\(71\) | −1.12725e8 | −0.0624784 | −0.0312392 | − | 0.999512i | \(-0.509945\pi\) | ||||
−0.0312392 | + | 0.999512i | \(0.509945\pi\) | |||||||
\(72\) | 3.40977e8 | + | 5.90589e8i | 0.176223 | + | 0.305227i | ||||
\(73\) | 1.82727e8 | + | 1.05497e8i | 0.0881431 | + | 0.0508894i | 0.543424 | − | 0.839459i | \(-0.317128\pi\) |
−0.455281 | + | 0.890348i | \(0.650461\pi\) | |||||||
\(74\) | 2.56105e8 | − | 4.43588e8i | 0.115414 | − | 0.199904i | ||||
\(75\) | 1.16615e9 | − | 6.73279e8i | 0.491416 | − | 0.283719i | ||||
\(76\) | 1.10946e9i | 0.437568i | ||||||||
\(77\) | −7.29164e8 | − | 3.15821e9i | −0.269384 | − | 1.16677i | ||||
\(78\) | 1.26477e9 | 0.438065 | ||||||||
\(79\) | 1.37537e9 | + | 2.38221e9i | 0.446976 | + | 0.774185i | 0.998188 | − | 0.0601806i | \(-0.0191677\pi\) |
−0.551212 | + | 0.834365i | \(0.685834\pi\) | |||||||
\(80\) | −8.61536e7 | − | 4.97408e7i | −0.0262920 | − | 0.0151797i | ||||
\(81\) | −1.93710e8 | + | 3.35516e8i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 2.24464e9 | − | 1.29594e9i | 0.605448 | − | 0.349556i | ||||
\(83\) | − | 2.39968e9i | − | 0.609203i | −0.952480 | − | 0.304602i | \(-0.901477\pi\) | ||
0.952480 | − | 0.304602i | \(-0.0985233\pi\) | |||||||
\(84\) | 3.59389e8 | − | 1.17555e9i | 0.0859347 | − | 0.281090i | ||||
\(85\) | 7.21887e8 | 0.162695 | ||||||||
\(86\) | 2.48013e9 | + | 4.29571e9i | 0.527208 | + | 0.913151i | ||||
\(87\) | 2.20811e8 | + | 1.27485e8i | 0.0443022 | + | 0.0255779i | ||||
\(88\) | −3.34088e9 | + | 5.78657e9i | −0.633064 | + | 1.09650i | ||||
\(89\) | −8.15490e8 | + | 4.70823e8i | −0.146039 | + | 0.0843156i | −0.571239 | − | 0.820784i | \(-0.693537\pi\) |
0.425200 | + | 0.905099i | \(0.360204\pi\) | |||||||
\(90\) | − | 1.80695e8i | − | 0.0306008i | ||||||
\(91\) | −4.60894e9 | − | 4.94238e9i | −0.738574 | − | 0.792007i | ||||
\(92\) | 2.73467e9 | 0.414921 | ||||||||
\(93\) | −2.43902e9 | − | 4.22450e9i | −0.350591 | − | 0.607241i | ||||
\(94\) | −6.14550e9 | − | 3.54810e9i | −0.837371 | − | 0.483456i | ||||
\(95\) | 4.35697e8 | − | 7.54650e8i | 0.0563076 | − | 0.0975276i | ||||
\(96\) | −3.64878e9 | + | 2.10662e9i | −0.447498 | + | 0.258363i | ||||
\(97\) | 2.45152e9i | 0.285481i | 0.989760 | + | 0.142740i | \(0.0455914\pi\) | ||||
−0.989760 | + | 0.142740i | \(0.954409\pi\) | |||||||
\(98\) | 5.69219e9 | − | 2.77642e9i | 0.629723 | − | 0.307153i | ||||
\(99\) | −3.79593e9 | −0.399156 | ||||||||
\(100\) | 2.50183e9 | + | 4.33330e9i | 0.250183 | + | 0.433330i | ||||
\(101\) | −5.37358e9 | − | 3.10244e9i | −0.511278 | − | 0.295186i | 0.222081 | − | 0.975028i | \(-0.428715\pi\) |
−0.733359 | + | 0.679842i | \(0.762048\pi\) | |||||||
\(102\) | −2.77280e9 | + | 4.80262e9i | −0.251141 | + | 0.434988i | ||||
\(103\) | 4.99638e9 | − | 2.88466e9i | 0.430992 | − | 0.248833i | −0.268777 | − | 0.963202i | \(-0.586619\pi\) |
0.699769 | + | 0.714369i | \(0.253286\pi\) | |||||||
\(104\) | 1.39311e10i | 1.14504i | ||||||||
\(105\) | −7.06105e8 | + | 6.58468e8i | −0.0553252 | + | 0.0515927i | ||||
\(106\) | −8.07318e9 | −0.603275 | ||||||||
\(107\) | 1.06583e9 | + | 1.84607e9i | 0.0759921 | + | 0.131622i | 0.901517 | − | 0.432743i | \(-0.142454\pi\) |
−0.825525 | + | 0.564365i | \(0.809121\pi\) | |||||||
\(108\) | −1.24674e9 | − | 7.19807e8i | −0.0848511 | − | 0.0489888i | ||||
\(109\) | −1.00407e10 | + | 1.73910e10i | −0.652575 | + | 1.13029i | 0.329921 | + | 0.944009i | \(0.392978\pi\) |
−0.982496 | + | 0.186284i | \(0.940355\pi\) | |||||||
\(110\) | 1.53325e9 | − | 8.85220e8i | 0.0952025 | − | 0.0549652i | ||||
\(111\) | 3.20517e9i | 0.190211i | ||||||||
\(112\) | −3.90499e9 | − | 1.19383e9i | −0.221580 | − | 0.0677412i | ||||
\(113\) | 1.93070e10 | 1.04791 | 0.523954 | − | 0.851747i | \(-0.324456\pi\) | ||||
0.523954 | + | 0.851747i | \(0.324456\pi\) | |||||||
\(114\) | 3.34706e9 | + | 5.79728e9i | 0.173836 | + | 0.301093i | ||||
\(115\) | −1.86010e9 | − | 1.07393e9i | −0.0924801 | − | 0.0533934i | ||||
\(116\) | −4.73722e8 | + | 8.20511e8i | −0.0225545 | + | 0.0390656i | ||||
\(117\) | −6.85401e9 | + | 3.95716e9i | −0.312619 | + | 0.180491i | ||||
\(118\) | − | 2.38794e10i | − | 1.04379i | ||||||
\(119\) | 2.88717e10 | − | 6.66587e9i | 1.20987 | − | 0.279333i | ||||
\(120\) | 1.99030e9 | 0.0799859 | ||||||||
\(121\) | −5.62751e9 | − | 9.74713e9i | −0.216965 | − | 0.375794i | ||||
\(122\) | −1.60709e10 | − | 9.27856e9i | −0.594623 | − | 0.343306i | ||||
\(123\) | −8.10939e9 | + | 1.40459e10i | −0.288046 | + | 0.498911i | ||||
\(124\) | 1.56978e10 | − | 9.06313e9i | 0.535464 | − | 0.309150i | ||||
\(125\) | − | 7.92860e9i | − | 0.259804i | ||||||
\(126\) | −1.66853e9 | − | 7.22683e9i | −0.0525388 | − | 0.227560i | ||||
\(127\) | 3.71909e10 | 1.12569 | 0.562844 | − | 0.826563i | \(-0.309707\pi\) | ||||
0.562844 | + | 0.826563i | \(0.309707\pi\) | |||||||
\(128\) | −5.03901e9 | − | 8.72782e9i | −0.146654 | − | 0.254013i | ||||
\(129\) | −2.68805e10 | − | 1.55195e10i | −0.752469 | − | 0.434438i | ||||
\(130\) | 1.84564e9 | − | 3.19674e9i | 0.0497084 | − | 0.0860975i | ||||
\(131\) | 5.46632e10 | − | 3.15598e10i | 1.41690 | − | 0.818047i | 0.420874 | − | 0.907119i | \(-0.361724\pi\) |
0.996025 | + | 0.0890724i | \(0.0283903\pi\) | |||||||
\(132\) | − | 1.41053e10i | − | 0.351975i | ||||||
\(133\) | 1.04572e10 | − | 3.42052e10i | 0.251279 | − | 0.821929i | ||||
\(134\) | 5.22425e10 | 1.20921 | ||||||||
\(135\) | 5.65350e8 | + | 9.79215e8i | 0.0126081 | + | 0.0218378i | ||||
\(136\) | −5.28996e10 | − | 3.05416e10i | −1.13699 | − | 0.656444i | ||||
\(137\) | −3.83016e10 | + | 6.63403e10i | −0.793623 | + | 1.37459i | 0.130088 | + | 0.991502i | \(0.458474\pi\) |
−0.923710 | + | 0.383092i | \(0.874859\pi\) | |||||||
\(138\) | 1.42895e10 | − | 8.25003e9i | 0.285509 | − | 0.164839i | ||||
\(139\) | 1.02312e11i | 1.97176i | 0.167464 | + | 0.985878i | \(0.446442\pi\) | ||||
−0.167464 | + | 0.985878i | \(0.553558\pi\) | |||||||
\(140\) | −2.44680e9 | − | 2.62381e9i | −0.0454944 | − | 0.0487857i | ||||
\(141\) | 4.44047e10 | 0.796770 | ||||||||
\(142\) | −1.26367e9 | − | 2.18875e9i | −0.0218874 | − | 0.0379100i | ||||
\(143\) | −6.71553e10 | − | 3.87722e10i | −1.12305 | − | 0.648395i | ||||
\(144\) | −2.39108e9 | + | 4.14147e9i | −0.0386172 | + | 0.0668870i | ||||
\(145\) | 6.44445e8 | − | 3.72071e8i | 0.0100542 | − | 0.00580478i | ||||
\(146\) | 4.73059e9i | 0.0713101i | ||||||||
\(147\) | −2.21602e10 | + | 3.28554e10i | −0.322840 | + | 0.478652i | ||||
\(148\) | −1.19101e10 | −0.167728 | ||||||||
\(149\) | 1.09124e10 | + | 1.89008e10i | 0.148590 | + | 0.257365i | 0.930706 | − | 0.365767i | \(-0.119193\pi\) |
−0.782117 | + | 0.623132i | \(0.785860\pi\) | |||||||
\(150\) | 2.61456e10 | + | 1.50952e10i | 0.344305 | + | 0.198784i | ||||
\(151\) | −7.11114e10 | + | 1.23169e11i | −0.905846 | + | 1.56897i | −0.0860683 | + | 0.996289i | \(0.527430\pi\) |
−0.819778 | + | 0.572682i | \(0.805903\pi\) | |||||||
\(152\) | −6.38555e10 | + | 3.68670e10i | −0.787011 | + | 0.454381i | ||||
\(153\) | − | 3.47016e10i | − | 0.413897i | ||||||
\(154\) | 5.31477e10 | − | 4.95620e10i | 0.613593 | − | 0.572197i | ||||
\(155\) | −1.42367e10 | −0.159130 | ||||||||
\(156\) | −1.47044e10 | − | 2.54688e10i | −0.159156 | − | 0.275667i | ||||
\(157\) | 1.71019e10 | + | 9.87377e9i | 0.179286 | + | 0.103511i | 0.586957 | − | 0.809618i | \(-0.300326\pi\) |
−0.407671 | + | 0.913129i | \(0.633659\pi\) | |||||||
\(158\) | −3.08364e10 | + | 5.34101e10i | −0.313168 | + | 0.542423i | ||||
\(159\) | 4.37499e10 | − | 2.52590e10i | 0.430518 | − | 0.248560i | ||||
\(160\) | 1.22965e10i | 0.117269i | ||||||||
\(161\) | −8.43110e10 | − | 2.57755e10i | −0.779390 | − | 0.238274i | ||||
\(162\) | −8.68613e9 | −0.0778486 | ||||||||
\(163\) | 3.38032e10 | + | 5.85488e10i | 0.293778 | + | 0.508839i | 0.974700 | − | 0.223517i | \(-0.0717539\pi\) |
−0.680922 | + | 0.732356i | \(0.738421\pi\) | |||||||
\(164\) | −5.21929e10 | − | 3.01336e10i | −0.439939 | − | 0.253999i | ||||
\(165\) | −5.53928e9 | + | 9.59432e9i | −0.0452933 | + | 0.0784503i | ||||
\(166\) | 4.65937e10 | − | 2.69009e10i | 0.369646 | − | 0.213415i | ||||
\(167\) | − | 6.46662e10i | − | 0.497846i | −0.968523 | − | 0.248923i | \(-0.919923\pi\) | ||
0.968523 | − | 0.248923i | \(-0.0800766\pi\) | |||||||
\(168\) | 7.96017e10 | − | 1.83784e10i | 0.594807 | − | 0.137328i | ||||
\(169\) | −2.38174e10 | −0.172767 | ||||||||
\(170\) | 8.09250e9 | + | 1.40166e10i | 0.0569952 | + | 0.0987185i | ||||
\(171\) | −3.62766e10 | − | 2.09443e10i | −0.248111 | − | 0.143247i | ||||
\(172\) | 5.76686e10 | − | 9.98850e10i | 0.383087 | − | 0.663526i | ||||
\(173\) | −1.09261e11 | + | 6.30821e10i | −0.705077 | + | 0.407076i | −0.809236 | − | 0.587484i | \(-0.800118\pi\) |
0.104159 | + | 0.994561i | \(0.466785\pi\) | |||||||
\(174\) | 5.71655e9i | 0.0358417i | ||||||||
\(175\) | −3.62892e10 | − | 1.57178e11i | −0.221099 | − | 0.957640i | ||||
\(176\) | −4.68554e10 | −0.277458 | ||||||||
\(177\) | 7.47129e10 | + | 1.29407e11i | 0.430060 | + | 0.744886i | ||||
\(178\) | −1.82836e10 | − | 1.05560e10i | −0.102320 | − | 0.0590747i | ||||
\(179\) | −1.10844e10 | + | 1.91987e10i | −0.0603179 | + | 0.104474i | −0.894608 | − | 0.446853i | \(-0.852545\pi\) |
0.834290 | + | 0.551326i | \(0.185878\pi\) | |||||||
\(180\) | −3.63866e9 | + | 2.10078e9i | −0.0192566 | + | 0.0111178i | ||||
\(181\) | 6.27344e10i | 0.322933i | 0.986878 | + | 0.161467i | \(0.0516224\pi\) | ||||
−0.986878 | + | 0.161467i | \(0.948378\pi\) | |||||||
\(182\) | 4.42972e10 | − | 1.44895e11i | 0.221830 | − | 0.725600i | ||||
\(183\) | 1.16122e11 | 0.565793 | ||||||||
\(184\) | 9.08719e10 | + | 1.57395e11i | 0.430864 | + | 0.746279i | ||||
\(185\) | 8.10114e9 | + | 4.67720e9i | 0.0373842 | + | 0.0215838i | ||||
\(186\) | 5.46838e10 | − | 9.47151e10i | 0.245637 | − | 0.425456i | ||||
\(187\) | 2.94453e11 | − | 1.70003e11i | 1.28768 | − | 0.743444i | ||||
\(188\) | 1.65003e11i | 0.702591i | ||||||||
\(189\) | 3.16530e10 | + | 3.39430e10i | 0.131252 | + | 0.140748i | ||||
\(190\) | 1.95370e10 | 0.0789024 | ||||||||
\(191\) | −5.07369e10 | − | 8.78789e10i | −0.199599 | − | 0.345715i | 0.748800 | − | 0.662796i | \(-0.230630\pi\) |
−0.948398 | + | 0.317081i | \(0.897297\pi\) | |||||||
\(192\) | −1.12035e11 | − | 6.46835e10i | −0.429386 | − | 0.247906i | ||||
\(193\) | 1.28884e11 | − | 2.23233e11i | 0.481296 | − | 0.833629i | −0.518474 | − | 0.855094i | \(-0.673500\pi\) |
0.999770 | + | 0.0214647i | \(0.00683295\pi\) | |||||||
\(194\) | −4.76003e10 | + | 2.74821e10i | −0.173221 | + | 0.100009i | ||||
\(195\) | 2.30982e10i | 0.0819230i | ||||||||
\(196\) | −1.22087e11 | − | 8.23450e10i | −0.422075 | − | 0.284680i | ||||
\(197\) | 4.29568e11 | 1.44777 | 0.723887 | − | 0.689919i | \(-0.242354\pi\) | ||||
0.723887 | + | 0.689919i | \(0.242354\pi\) | |||||||
\(198\) | −4.25532e10 | − | 7.37043e10i | −0.139832 | − | 0.242196i | ||||
\(199\) | 1.02742e11 | + | 5.93183e10i | 0.329219 | + | 0.190074i | 0.655494 | − | 0.755200i | \(-0.272460\pi\) |
−0.326276 | + | 0.945275i | \(0.605794\pi\) | |||||||
\(200\) | −1.66270e11 | + | 2.87987e11i | −0.519592 | + | 0.899960i | ||||
\(201\) | −2.83111e11 | + | 1.63454e11i | −0.862932 | + | 0.498214i | ||||
\(202\) | − | 1.39116e11i | − | 0.413638i | ||||||
\(203\) | 2.23387e10 | − | 2.08316e10i | 0.0648005 | − | 0.0604287i | ||||
\(204\) | 1.28948e11 | 0.364974 | ||||||||
\(205\) | 2.36675e10 | + | 4.09933e10i | 0.0653707 | + | 0.113225i | ||||
\(206\) | 1.12021e11 | + | 6.46753e10i | 0.301969 | + | 0.174342i | ||||
\(207\) | −5.16247e10 | + | 8.94166e10i | −0.135833 | + | 0.235270i | ||||
\(208\) | −8.46030e10 | + | 4.88456e10i | −0.217305 | + | 0.125461i | ||||
\(209\) | − | 4.10423e11i | − | 1.02920i | ||||||
\(210\) | −2.07008e10 | − | 6.32864e9i | −0.0506863 | − | 0.0154958i | ||||
\(211\) | −5.61277e11 | −1.34204 | −0.671019 | − | 0.741440i | \(-0.734143\pi\) | ||||
−0.671019 | + | 0.741440i | \(0.734143\pi\) | |||||||
\(212\) | 9.38599e10 | + | 1.62570e11i | 0.219180 | + | 0.379631i | ||||
\(213\) | 1.36961e10 | + | 7.90746e9i | 0.0312392 | + | 0.0180360i | ||||
\(214\) | −2.38963e10 | + | 4.13896e10i | −0.0532429 | + | 0.0922195i | ||||
\(215\) | −7.84516e10 | + | 4.52941e10i | −0.170769 | + | 0.0985936i | ||||
\(216\) | − | 9.56754e10i | − | 0.203485i | ||||||
\(217\) | −5.69393e11 | + | 1.31461e11i | −1.18335 | + | 0.273211i | ||||
\(218\) | −4.50232e11 | −0.914437 | ||||||||
\(219\) | −1.48009e10 | − | 2.56359e10i | −0.0293810 | − | 0.0508894i | ||||
\(220\) | −3.56515e10 | − | 2.05834e10i | −0.0691773 | − | 0.0399396i | ||||
\(221\) | 3.54447e11 | − | 6.13920e11i | 0.672341 | − | 1.16453i | ||||
\(222\) | −6.22336e10 | + | 3.59306e10i | −0.115414 | + | 0.0666346i | ||||
\(223\) | 5.82567e11i | 1.05638i | 0.849125 | + | 0.528192i | \(0.177130\pi\) | ||||
−0.849125 | + | 0.528192i | \(0.822870\pi\) | |||||||
\(224\) | 1.13545e11 | + | 4.91795e11i | 0.201340 | + | 0.872056i | ||||
\(225\) | −1.88917e11 | −0.327611 | ||||||||
\(226\) | 2.16436e11 | + | 3.74878e11i | 0.367102 | + | 0.635839i | ||||
\(227\) | 6.63245e11 | + | 3.82925e11i | 1.10039 | + | 0.635308i | 0.936322 | − | 0.351142i | \(-0.114207\pi\) |
0.164063 | + | 0.986450i | \(0.447540\pi\) | |||||||
\(228\) | 7.78268e10 | − | 1.34800e11i | 0.126315 | − | 0.218784i | ||||
\(229\) | −2.72694e11 | + | 1.57440e11i | −0.433010 | + | 0.249999i | −0.700628 | − | 0.713526i | \(-0.747097\pi\) |
0.267618 | + | 0.963525i | \(0.413764\pi\) | |||||||
\(230\) | − | 4.81560e10i | − | 0.0748188i | ||||||
\(231\) | −1.32949e11 | + | 4.34871e11i | −0.202127 | + | 0.661152i | ||||
\(232\) | −6.29664e10 | −0.0936847 | ||||||||
\(233\) | −6.51989e11 | − | 1.12928e12i | −0.949426 | − | 1.64445i | −0.746638 | − | 0.665231i | \(-0.768333\pi\) |
−0.202788 | − | 0.979223i | \(-0.565000\pi\) | |||||||
\(234\) | −1.53670e11 | − | 8.87212e10i | −0.219033 | − | 0.126459i | ||||
\(235\) | 6.47983e10 | − | 1.12234e11i | 0.0904116 | − | 0.156597i | ||||
\(236\) | −4.80861e11 | + | 2.77625e11i | −0.656840 | + | 0.379227i | ||||
\(237\) | − | 3.85918e11i | − | 0.516123i | ||||||
\(238\) | 4.53086e11 | + | 4.85865e11i | 0.593329 | + | 0.636254i | ||||
\(239\) | 1.32639e12 | 1.70091 | 0.850454 | − | 0.526049i | \(-0.176327\pi\) | ||||
0.850454 | + | 0.526049i | \(0.176327\pi\) | |||||||
\(240\) | 6.97844e9 | + | 1.20870e10i | 0.00876400 | + | 0.0151797i | ||||
\(241\) | −4.15030e11 | − | 2.39618e11i | −0.510498 | − | 0.294736i | 0.222540 | − | 0.974924i | \(-0.428565\pi\) |
−0.733039 | + | 0.680187i | \(0.761899\pi\) | |||||||
\(242\) | 1.26171e11 | − | 2.18535e11i | 0.152014 | − | 0.263296i | ||||
\(243\) | 4.70716e10 | − | 2.71768e10i | 0.0555556 | − | 0.0320750i | ||||
\(244\) | 4.31495e11i | 0.498915i | ||||||||
\(245\) | 5.07051e10 | + | 1.03955e11i | 0.0574409 | + | 0.117765i | ||||
\(246\) | −3.63631e11 | −0.403632 | ||||||||
\(247\) | −4.27856e11 | − | 7.41068e11i | −0.465385 | − | 0.806070i | ||||
\(248\) | 1.04326e12 | + | 6.02327e11i | 1.11208 | + | 0.642058i | ||||
\(249\) | −1.68333e11 | + | 2.91561e11i | −0.175862 | + | 0.304602i | ||||
\(250\) | 1.53947e11 | − | 8.88812e10i | 0.157641 | − | 0.0910143i | ||||
\(251\) | − | 4.24521e11i | − | 0.426118i | −0.977039 | − | 0.213059i | \(-0.931657\pi\) | ||
0.977039 | − | 0.213059i | \(-0.0683427\pi\) | |||||||
\(252\) | −1.26129e11 | + | 1.17619e11i | −0.124111 | + | 0.115738i | ||||
\(253\) | −1.01163e12 | −0.975935 | ||||||||
\(254\) | 4.16917e11 | + | 7.22122e11i | 0.394350 | + | 0.683034i | ||||
\(255\) | −8.77092e10 | − | 5.06390e10i | −0.0813475 | − | 0.0469660i | ||||
\(256\) | 5.85092e11 | − | 1.01341e12i | 0.532138 | − | 0.921689i | ||||
\(257\) | 7.01528e11 | − | 4.05027e11i | 0.625719 | − | 0.361259i | −0.153373 | − | 0.988168i | \(-0.549014\pi\) |
0.779092 | + | 0.626909i | \(0.215680\pi\) | |||||||
\(258\) | − | 6.95905e11i | − | 0.608767i | ||||||
\(259\) | 3.67192e11 | + | 1.12258e11i | 0.315061 | + | 0.0963201i | ||||
\(260\) | −8.58305e10 | −0.0722396 | ||||||||
\(261\) | −1.78857e10 | − | 3.09790e10i | −0.0147674 | − | 0.0255779i | ||||
\(262\) | 1.22557e12 | + | 7.07584e11i | 0.992733 | + | 0.573154i | ||||
\(263\) | 1.22800e11 | − | 2.12696e11i | 0.0975935 | − | 0.169037i | −0.813095 | − | 0.582132i | \(-0.802219\pi\) |
0.910688 | + | 0.413095i | \(0.135552\pi\) | |||||||
\(264\) | 8.11834e11 | − | 4.68712e11i | 0.633064 | − | 0.365499i | ||||
\(265\) | − | 1.47439e11i | − | 0.112819i | ||||||
\(266\) | 7.81378e11 | − | 1.80404e11i | 0.586750 | − | 0.135468i | ||||
\(267\) | 1.32109e11 | 0.0973592 | ||||||||
\(268\) | −6.07379e11 | − | 1.05201e12i | −0.439325 | − | 0.760933i | ||||
\(269\) | −6.03594e11 | − | 3.48485e11i | −0.428533 | − | 0.247413i | 0.270189 | − | 0.962807i | \(-0.412914\pi\) |
−0.698721 | + | 0.715394i | \(0.746247\pi\) | |||||||
\(270\) | −1.26754e10 | + | 2.19544e10i | −0.00883369 | + | 0.0153004i | ||||
\(271\) | 1.24353e12 | − | 7.17950e11i | 0.850762 | − | 0.491188i | −0.0101458 | − | 0.999949i | \(-0.503230\pi\) |
0.860908 | + | 0.508761i | \(0.169896\pi\) | |||||||
\(272\) | − | 4.28342e11i | − | 0.287704i | ||||||
\(273\) | 2.13288e11 | + | 9.23807e11i | 0.140654 | + | 0.609211i | ||||
\(274\) | −1.71747e12 | −1.11208 | ||||||||
\(275\) | −9.25501e11 | − | 1.60301e12i | −0.588455 | − | 1.01923i | ||||
\(276\) | −3.32262e11 | − | 1.91832e11i | −0.207461 | − | 0.119778i | ||||
\(277\) | 1.30719e11 | − | 2.26412e11i | 0.0801567 | − | 0.138836i | −0.823160 | − | 0.567809i | \(-0.807791\pi\) |
0.903317 | + | 0.428973i | \(0.141125\pi\) | |||||||
\(278\) | −1.98656e12 | + | 1.14694e12i | −1.19640 | + | 0.690743i | ||||
\(279\) | 6.84369e11i | 0.404827i | ||||||||
\(280\) | 6.97083e10 | − | 2.28014e11i | 0.0405037 | − | 0.132486i | ||||
\(281\) | −3.09022e12 | −1.76383 | −0.881916 | − | 0.471407i | \(-0.843746\pi\) | ||||
−0.881916 | + | 0.471407i | \(0.843746\pi\) | |||||||
\(282\) | 4.97785e11 | + | 8.62189e11i | 0.279124 | + | 0.483456i | ||||
\(283\) | 2.40387e12 | + | 1.38787e12i | 1.32428 | + | 0.764571i | 0.984408 | − | 0.175901i | \(-0.0562840\pi\) |
0.339869 | + | 0.940473i | \(0.389617\pi\) | |||||||
\(284\) | −2.93833e10 | + | 5.08933e10i | −0.0159041 | + | 0.0275467i | ||||
\(285\) | −1.05874e11 | + | 6.11267e10i | −0.0563076 | + | 0.0325092i | ||||
\(286\) | − | 1.73858e12i | − | 0.908580i | ||||||
\(287\) | 1.32511e12 | + | 1.42097e12i | 0.680521 | + | 0.729754i | ||||
\(288\) | 5.91102e11 | 0.298332 | ||||||||
\(289\) | 5.46133e11 | + | 9.45930e11i | 0.270900 | + | 0.469213i | ||||
\(290\) | 1.44487e10 | + | 8.34198e9i | 0.00704433 | + | 0.00406705i | ||||
\(291\) | 1.71969e11 | − | 2.97860e11i | 0.0824112 | − | 0.142740i | ||||
\(292\) | 9.52602e10 | − | 5.49985e10i | 0.0448742 | − | 0.0259082i | ||||
\(293\) | 3.93981e12i | 1.82447i | 0.409667 | + | 0.912235i | \(0.365645\pi\) | ||||
−0.409667 | + | 0.912235i | \(0.634355\pi\) | |||||||
\(294\) | −8.86362e11 | − | 6.19618e10i | −0.403529 | − | 0.0282090i | ||||
\(295\) | 4.36104e11 | 0.195200 | ||||||||
\(296\) | −3.95766e11 | − | 6.85487e11i | −0.174173 | − | 0.301676i | ||||
\(297\) | 4.61206e11 | + | 2.66277e11i | 0.199578 | + | 0.115226i | ||||
\(298\) | −2.44660e11 | + | 4.23764e11i | −0.104108 | + | 0.180319i | ||||
\(299\) | −1.82663e12 | + | 1.05460e12i | −0.764352 | + | 0.441299i | ||||
\(300\) | − | 7.01995e11i | − | 0.288887i | ||||||
\(301\) | −2.71941e12 | + | 2.53594e12i | −1.10063 | + | 1.02638i | ||||
\(302\) | −3.18869e12 | −1.26934 | ||||||||
\(303\) | 4.35260e11 | + | 7.53893e11i | 0.170426 | + | 0.295186i | ||||
\(304\) | −4.47783e11 | − | 2.58528e11i | −0.172465 | − | 0.0995724i | ||||
\(305\) | 1.69452e11 | − | 2.93500e11i | 0.0642020 | − | 0.111201i | ||||
\(306\) | 6.73789e11 | − | 3.89012e11i | 0.251141 | − | 0.144996i | ||||
\(307\) | 1.50730e12i | 0.552722i | 0.961054 | + | 0.276361i | \(0.0891285\pi\) | ||||
−0.961054 | + | 0.276361i | \(0.910872\pi\) | |||||||
\(308\) | −1.61594e12 | − | 4.94023e11i | −0.583003 | − | 0.178235i | ||||
\(309\) | −8.09414e11 | −0.287328 | ||||||||
\(310\) | −1.59596e11 | − | 2.76429e11i | −0.0557461 | − | 0.0965551i | ||||
\(311\) | 2.52223e12 | + | 1.45621e12i | 0.866926 | + | 0.500520i | 0.866326 | − | 0.499480i | \(-0.166475\pi\) |
0.000600798 | 1.00000i | \(0.499809\pi\) | ||||||||
\(312\) | 9.77241e11 | − | 1.69263e12i | 0.330544 | − | 0.572518i | ||||
\(313\) | 1.66977e12 | − | 9.64042e11i | 0.555821 | − | 0.320903i | −0.195645 | − | 0.980675i | \(-0.562680\pi\) |
0.751466 | + | 0.659771i | \(0.229347\pi\) | |||||||
\(314\) | 4.42748e11i | 0.145047i | ||||||||
\(315\) | 1.31982e11 | − | 3.04719e10i | 0.0425561 | − | 0.00982532i | ||||
\(316\) | 1.43403e12 | 0.455117 | ||||||||
\(317\) | −2.64614e12 | − | 4.58325e12i | −0.826640 | − | 1.43178i | −0.900659 | − | 0.434526i | \(-0.856916\pi\) |
0.0740189 | − | 0.997257i | \(-0.476417\pi\) | |||||||
\(318\) | 9.80891e11 | + | 5.66318e11i | 0.301637 | + | 0.174150i | ||||
\(319\) | 1.75244e11 | − | 3.03531e11i | 0.0530504 | − | 0.0918861i | ||||
\(320\) | −3.26978e11 | + | 1.88781e11i | −0.0974471 | + | 0.0562611i | ||||
\(321\) | − | 2.99063e11i | − | 0.0877481i | ||||||
\(322\) | −4.44670e11 | − | 1.92598e12i | −0.128457 | − | 0.556382i | ||||
\(323\) | 3.75200e12 | 1.06721 | ||||||||
\(324\) | 1.00986e11 | + | 1.74913e11i | 0.0282837 | + | 0.0489888i | ||||
\(325\) | −3.34220e12 | − | 1.92962e12i | −0.921755 | − | 0.532176i | ||||
\(326\) | −7.57881e11 | + | 1.31269e12i | −0.205832 | + | 0.356512i | ||||
\(327\) | 2.43988e12 | − | 1.40867e12i | 0.652575 | − | 0.376764i | ||||
\(328\) | − | 4.00531e12i | − | 1.05503i | ||||||
\(329\) | 1.55523e12 | − | 5.08711e12i | 0.403473 | − | 1.31975i | ||||
\(330\) | −2.48386e11 | −0.0634684 | ||||||||
\(331\) | 3.29361e12 | + | 5.70470e12i | 0.828957 | + | 1.43580i | 0.898857 | + | 0.438242i | \(0.144399\pi\) |
−0.0698998 | + | 0.997554i | \(0.522268\pi\) | |||||||
\(332\) | −1.08341e12 | − | 6.25506e11i | −0.268597 | − | 0.155075i | ||||
\(333\) | 2.24836e11 | − | 3.89428e11i | 0.0549092 | − | 0.0951056i | ||||
\(334\) | 1.25560e12 | − | 7.24921e11i | 0.302078 | − | 0.174405i | ||||
\(335\) | 9.54094e11i | 0.226135i | ||||||||
\(336\) | 3.90712e11 | + | 4.18978e11i | 0.0912347 | + | 0.0978352i | ||||
\(337\) | 1.35678e12 | 0.312147 | 0.156074 | − | 0.987745i | \(-0.450116\pi\) | ||||
0.156074 | + | 0.987745i | \(0.450116\pi\) | |||||||
\(338\) | −2.66998e11 | − | 4.62453e11i | −0.0605235 | − | 0.104830i | ||||
\(339\) | −2.34580e12 | − | 1.35435e12i | −0.523954 | − | 0.302505i | ||||
\(340\) | 1.88169e11 | − | 3.25918e11i | 0.0414146 | − | 0.0717322i | ||||
\(341\) | −5.80707e12 | + | 3.35271e12i | −1.25946 | + | 0.727151i | ||||
\(342\) | − | 9.39159e11i | − | 0.200728i | ||||||
\(343\) | 2.98785e12 | + | 3.68945e12i | 0.629345 | + | 0.777126i | ||||
\(344\) | 7.66521e12 | 1.59123 | ||||||||
\(345\) | 1.50668e11 | + | 2.60965e11i | 0.0308267 | + | 0.0533934i | ||||
\(346\) | −2.44969e12 | − | 1.41433e12i | −0.494004 | − | 0.285213i | ||||
\(347\) | 1.83513e12 | − | 3.17853e12i | 0.364769 | − | 0.631799i | −0.623970 | − | 0.781449i | \(-0.714481\pi\) |
0.988739 | + | 0.149649i | \(0.0478145\pi\) | |||||||
\(348\) | 1.15115e11 | − | 6.64614e10i | 0.0225545 | − | 0.0130219i | ||||
\(349\) | − | 5.41166e11i | − | 0.104521i | −0.998633 | − | 0.0522605i | \(-0.983357\pi\) | ||
0.998633 | − | 0.0522605i | \(-0.0166426\pi\) | |||||||
\(350\) | 2.64506e12 | − | 2.46661e12i | 0.503612 | − | 0.469636i | ||||
\(351\) | 1.11035e12 | 0.208413 | ||||||||
\(352\) | 2.89580e12 | + | 5.01568e12i | 0.535865 | + | 0.928146i | ||||
\(353\) | 2.94116e12 | + | 1.69808e12i | 0.536592 | + | 0.309802i | 0.743697 | − | 0.668517i | \(-0.233071\pi\) |
−0.207104 | + | 0.978319i | \(0.566404\pi\) | |||||||
\(354\) | −1.67509e12 | + | 2.90135e12i | −0.301316 | + | 0.521895i | ||||
\(355\) | 3.99726e10 | − | 2.30782e10i | 0.00708958 | − | 0.00409317i | ||||
\(356\) | 4.90904e11i | 0.0858513i | ||||||||
\(357\) | −3.97550e12 | − | 1.21539e12i | −0.685569 | − | 0.209592i | ||||
\(358\) | −4.97033e11 | −0.0845220 | ||||||||
\(359\) | 1.05539e12 | + | 1.82799e12i | 0.176987 | + | 0.306550i | 0.940847 | − | 0.338832i | \(-0.110032\pi\) |
−0.763860 | + | 0.645382i | \(0.776698\pi\) | |||||||
\(360\) | −2.41822e11 | − | 1.39616e11i | −0.0399929 | − | 0.0230899i | ||||
\(361\) | −8.00998e11 | + | 1.38737e12i | −0.130646 | + | 0.226285i | ||||
\(362\) | −1.21809e12 | + | 7.03266e11i | −0.195946 | + | 0.113130i | ||||
\(363\) | 1.57904e12i | 0.250529i | ||||||||
\(364\) | −3.43277e12 | + | 7.92555e11i | −0.537202 | + | 0.124029i | ||||
\(365\) | −8.63937e10 | −0.0133358 | ||||||||
\(366\) | 1.30175e12 | + | 2.25469e12i | 0.198208 | + | 0.343306i | ||||
\(367\) | −9.12008e12 | − | 5.26548e12i | −1.36984 | − | 0.790875i | −0.378929 | − | 0.925426i | \(-0.623708\pi\) |
−0.990907 | + | 0.134551i | \(0.957041\pi\) | |||||||
\(368\) | −6.37234e11 | + | 1.10372e12i | −0.0944190 | + | 0.163539i | ||||
\(369\) | 1.97058e12 | − | 1.13772e12i | 0.288046 | − | 0.166304i | ||||
\(370\) | 2.09729e11i | 0.0302448i | ||||||||
\(371\) | −1.36144e12 | − | 5.89677e12i | −0.193700 | − | 0.838966i | ||||
\(372\) | −2.54304e12 | −0.356976 | ||||||||
\(373\) | −4.38051e12 | − | 7.58726e12i | −0.606709 | − | 1.05085i | −0.991779 | − | 0.127963i | \(-0.959156\pi\) |
0.385070 | − | 0.922887i | \(-0.374177\pi\) | |||||||
\(374\) | 6.60177e12 | + | 3.81153e12i | 0.902199 | + | 0.520885i | ||||
\(375\) | −5.56176e11 | + | 9.63325e11i | −0.0749990 | + | 0.129902i | ||||
\(376\) | −9.49679e12 | + | 5.48298e12i | −1.26368 | + | 0.729587i | ||||
\(377\) | − | 7.30748e11i | − | 0.0959535i | ||||||
\(378\) | −3.04222e11 | + | 9.95104e11i | −0.0394214 | + | 0.128946i | ||||
\(379\) | 8.72597e12 | 1.11588 | 0.557940 | − | 0.829881i | \(-0.311592\pi\) | ||||
0.557940 | + | 0.829881i | \(0.311592\pi\) | |||||||
\(380\) | −2.27140e11 | − | 3.93418e11i | −0.0286666 | − | 0.0496520i | ||||
\(381\) | −4.51869e12 | − | 2.60887e12i | −0.562844 | − | 0.324958i | ||||
\(382\) | 1.13754e12 | − | 1.97028e12i | 0.139846 | − | 0.242221i | ||||
\(383\) | 7.87098e11 | − | 4.54431e11i | 0.0955069 | − | 0.0551409i | −0.451486 | − | 0.892278i | \(-0.649106\pi\) |
0.546993 | + | 0.837137i | \(0.315773\pi\) | |||||||
\(384\) | 1.41391e12i | 0.169342i | ||||||||
\(385\) | 9.05141e11 | + | 9.70624e11i | 0.107007 | + | 0.114749i | ||||
\(386\) | 5.77926e12 | 0.674428 | ||||||||
\(387\) | 2.17732e12 | + | 3.77123e12i | 0.250823 | + | 0.434438i | ||||
\(388\) | 1.10682e12 | + | 6.39020e11i | 0.125868 | + | 0.0726701i | ||||
\(389\) | −8.88243e12 | + | 1.53848e13i | −0.997204 | + | 1.72721i | −0.433882 | + | 0.900970i | \(0.642856\pi\) |
−0.563322 | + | 0.826237i | \(0.690477\pi\) | |||||||
\(390\) | −4.48490e11 | + | 2.58936e11i | −0.0497084 | + | 0.0286992i | ||||
\(391\) | − | 9.24815e12i | − | 1.01198i | ||||||
\(392\) | 6.82493e11 | − | 9.76304e12i | 0.0737340 | − | 1.05476i | ||||
\(393\) | −8.85544e12 | −0.944599 | ||||||||
\(394\) | 4.81554e12 | + | 8.34076e12i | 0.507182 | + | 0.878465i | ||||
\(395\) | −9.75418e11 | − | 5.63158e11i | −0.101439 | − | 0.0585658i | ||||
\(396\) | −9.89458e11 | + | 1.71379e12i | −0.101607 | + | 0.175988i | ||||
\(397\) | 2.79267e12 | − | 1.61235e12i | 0.283183 | − | 0.163496i | −0.351680 | − | 0.936120i | \(-0.614390\pi\) |
0.634864 | + | 0.772624i | \(0.281056\pi\) | |||||||
\(398\) | 2.65988e12i | 0.266347i | ||||||||
\(399\) | −3.66998e12 | + | 3.42238e12i | −0.362910 | + | 0.338426i | ||||
\(400\) | −2.33191e12 | −0.227726 | ||||||||
\(401\) | −1.40188e12 | − | 2.42813e12i | −0.135204 | − | 0.234180i | 0.790471 | − | 0.612499i | \(-0.209836\pi\) |
−0.925675 | + | 0.378319i | \(0.876502\pi\) | |||||||
\(402\) | −6.34747e12 | − | 3.66471e12i | −0.604603 | − | 0.349068i | ||||
\(403\) | −6.99024e12 | + | 1.21074e13i | −0.657607 | + | 1.13901i | ||||
\(404\) | −2.80138e12 | + | 1.61738e12i | −0.260295 | + | 0.150281i | ||||
\(405\) | − | 1.58633e11i | − | 0.0145585i | ||||||
\(406\) | 6.54902e11 | + | 2.00216e11i | 0.0593672 | + | 0.0181497i | ||||
\(407\) | 4.40588e12 | 0.394512 | ||||||||
\(408\) | 4.28487e12 | + | 7.42161e12i | 0.378998 | + | 0.656444i | ||||
\(409\) | −1.65617e13 | − | 9.56192e12i | −1.44707 | − | 0.835465i | −0.448763 | − | 0.893651i | \(-0.648135\pi\) |
−0.998306 | + | 0.0581856i | \(0.981468\pi\) | |||||||
\(410\) | −5.30635e11 | + | 9.19088e11i | −0.0458012 | + | 0.0793300i | ||||
\(411\) | 9.30729e12 | − | 5.37356e12i | 0.793623 | − | 0.458198i | ||||
\(412\) | − | 3.00769e12i | − | 0.253366i | ||||||
\(413\) | 1.74419e13 | − | 4.02696e12i | 1.45159 | − | 0.335141i | ||||
\(414\) | −2.31489e12 | −0.190340 | ||||||||
\(415\) | 4.91285e11 | + | 8.50930e11i | 0.0399110 | + | 0.0691279i | ||||
\(416\) | 1.04574e13 | + | 6.03760e12i | 0.839379 | + | 0.484616i | ||||
\(417\) | 7.17700e12 | − | 1.24309e13i | 0.569197 | − | 0.985878i | ||||
\(418\) | 7.96904e12 | − | 4.60093e12i | 0.624489 | − | 0.360549i | ||||
\(419\) | 1.76120e13i | 1.36376i | 0.731463 | + | 0.681882i | \(0.238838\pi\) | ||||
−0.731463 | + | 0.681882i | \(0.761162\pi\) | |||||||
\(420\) | 1.13230e11 | + | 4.90431e11i | 0.00866396 | + | 0.0375259i | ||||
\(421\) | 1.07462e13 | 0.812536 | 0.406268 | − | 0.913754i | \(-0.366830\pi\) | ||||
0.406268 | + | 0.913754i | \(0.366830\pi\) | |||||||
\(422\) | −6.29203e12 | − | 1.08981e13i | −0.470141 | − | 0.814309i | ||||
\(423\) | −5.39517e12 | − | 3.11490e12i | −0.398385 | − | 0.230008i | ||||
\(424\) | −6.23784e12 | + | 1.08043e13i | −0.455203 | + | 0.788435i | ||||
\(425\) | 1.46544e13 | − | 8.46073e12i | 1.05688 | − | 0.610188i | ||||
\(426\) | 3.54577e11i | 0.0252733i | ||||||||
\(427\) | 4.06703e12 | − | 1.33032e13i | 0.286509 | − | 0.937164i | ||||
\(428\) | 1.11129e12 | 0.0773762 | ||||||||
\(429\) | 5.43958e12 | + | 9.42163e12i | 0.374351 | + | 0.648395i | ||||
\(430\) | −1.75892e12 | − | 1.01551e12i | −0.119647 | − | 0.0690784i | ||||
\(431\) | −9.56880e11 | + | 1.65737e12i | −0.0643385 | + | 0.111438i | −0.896400 | − | 0.443245i | \(-0.853827\pi\) |
0.832062 | + | 0.554683i | \(0.187160\pi\) | |||||||
\(432\) | 5.81032e11 | − | 3.35459e11i | 0.0386172 | − | 0.0222957i | ||||
\(433\) | 2.03704e12i | 0.133832i | 0.997759 | + | 0.0669162i | \(0.0213160\pi\) | ||||
−0.997759 | + | 0.0669162i | \(0.978684\pi\) | |||||||
\(434\) | −8.93555e12 | − | 9.58200e12i | −0.580327 | − | 0.622311i | ||||
\(435\) | −1.04400e11 | −0.00670278 | ||||||||
\(436\) | 5.23446e12 | + | 9.06635e12i | 0.332230 | + | 0.575440i | ||||
\(437\) | −9.66788e12 | − | 5.58175e12i | −0.606630 | − | 0.350238i | ||||
\(438\) | 3.31842e11 | − | 5.74767e11i | 0.0205855 | − | 0.0356551i | ||||
\(439\) | 1.46635e13 | − | 8.46597e12i | 0.899321 | − | 0.519223i | 0.0223412 | − | 0.999750i | \(-0.492888\pi\) |
0.876980 | + | 0.480527i | \(0.159555\pi\) | |||||||
\(440\) | − | 2.73591e12i | − | 0.165897i | ||||||
\(441\) | 4.99721e12 | − | 2.43743e12i | 0.299595 | − | 0.146130i | ||||
\(442\) | 1.58937e13 | 0.942136 | ||||||||
\(443\) | −1.55037e13 | − | 2.68531e13i | −0.908690 | − | 1.57390i | −0.815886 | − | 0.578213i | \(-0.803750\pi\) |
−0.0928046 | − | 0.995684i | \(-0.529583\pi\) | |||||||
\(444\) | 1.44707e12 | + | 8.35468e11i | 0.0838640 | + | 0.0484189i | ||||
\(445\) | 1.92783e11 | − | 3.33910e11i | 0.0110476 | − | 0.0191350i | ||||
\(446\) | −1.13115e13 | + | 6.53070e12i | −0.640982 | + | 0.370071i | ||||
\(447\) | − | 3.06193e12i | − | 0.171577i | ||||||
\(448\) | −1.13342e13 | + | 1.05695e13i | −0.628060 | + | 0.585688i | ||||
\(449\) | −1.16247e13 | −0.637016 | −0.318508 | − | 0.947920i | \(-0.603182\pi\) | ||||
−0.318508 | + | 0.947920i | \(0.603182\pi\) | |||||||
\(450\) | −2.11780e12 | − | 3.66813e12i | −0.114768 | − | 0.198784i | ||||
\(451\) | 1.93077e13 | + | 1.11473e13i | 1.03478 | + | 0.597430i | ||||
\(452\) | 5.03262e12 | − | 8.71676e12i | 0.266749 | − | 0.462022i | ||||
\(453\) | 1.72801e13 | − | 9.97665e12i | 0.905846 | − | 0.522990i | ||||
\(454\) | 1.71707e13i | 0.890241i | ||||||||
\(455\) | 2.64619e12 | + | 8.08991e11i | 0.135695 | + | 0.0414846i | ||||
\(456\) | 1.03446e13 | 0.524674 | ||||||||
\(457\) | −1.08090e13 | − | 1.87217e13i | −0.542254 | − | 0.939212i | −0.998774 | − | 0.0494986i | \(-0.984238\pi\) |
0.456520 | − | 0.889713i | \(-0.349096\pi\) | |||||||
\(458\) | −6.11391e12 | − | 3.52987e12i | −0.303383 | − | 0.175159i | ||||
\(459\) | −2.43425e12 | + | 4.21625e12i | −0.119482 | + | 0.206949i | ||||
\(460\) | −9.69719e11 | + | 5.59868e11i | −0.0470822 | + | 0.0271829i | ||||
\(461\) | 1.92854e13i | 0.926243i | 0.886295 | + | 0.463122i | \(0.153271\pi\) | ||||
−0.886295 | + | 0.463122i | \(0.846729\pi\) | |||||||
\(462\) | −9.93412e12 | + | 2.29358e12i | −0.471976 | + | 0.108969i | ||||
\(463\) | −2.94452e13 | −1.38392 | −0.691958 | − | 0.721938i | \(-0.743252\pi\) | ||||
−0.691958 | + | 0.721938i | \(0.743252\pi\) | |||||||
\(464\) | −2.20774e11 | − | 3.82391e11i | −0.0102650 | − | 0.0177794i | ||||
\(465\) | 1.72976e12 | + | 9.98678e11i | 0.0795648 | + | 0.0459368i | ||||
\(466\) | 1.46179e13 | − | 2.53189e13i | 0.665203 | − | 1.15217i | ||||
\(467\) | −3.46042e13 | + | 1.99788e13i | −1.55792 | + | 0.899464i | −0.560462 | + | 0.828180i | \(0.689376\pi\) |
−0.997456 | + | 0.0712841i | \(0.977290\pi\) | |||||||
\(468\) | 4.12594e12i | 0.183778i | ||||||||
\(469\) | 8.81005e12 | + | 3.81587e13i | 0.388253 | + | 1.68163i | ||||
\(470\) | 2.90561e12 | 0.126692 | ||||||||
\(471\) | −1.38525e12 | − | 2.39933e12i | −0.0597618 | − | 0.103511i | ||||
\(472\) | −3.19576e13 | − | 1.84507e13i | −1.36416 | − | 0.787596i | ||||
\(473\) | −2.13333e13 | + | 3.69504e13i | −0.901057 | + | 1.56068i | ||||
\(474\) | 7.49323e12 | − | 4.32622e12i | 0.313168 | − | 0.180808i | ||||
\(475\) | − | 2.04260e13i | − | 0.844726i | ||||||
\(476\) | 4.51625e12 | − | 1.47725e13i | 0.184818 | − | 0.604534i | ||||
\(477\) | −7.08749e12 | −0.287012 | ||||||||
\(478\) | 1.48691e13 | + | 2.57540e13i | 0.595860 | + | 1.03206i | ||||
\(479\) | 4.15854e13 | + | 2.40093e13i | 1.64916 | + | 0.952143i | 0.977406 | + | 0.211368i | \(0.0677920\pi\) |
0.671754 | + | 0.740775i | \(0.265541\pi\) | |||||||
\(480\) | 8.62576e11 | − | 1.49403e12i | 0.0338525 | − | 0.0586343i | ||||
\(481\) | 7.95533e12 | − | 4.59301e12i | 0.308982 | − | 0.178391i | ||||
\(482\) | − | 1.07447e13i | − | 0.413007i | ||||||
\(483\) | 8.43568e12 | + | 9.04597e12i | 0.320911 | + | 0.344128i | ||||
\(484\) | −5.86753e12 | −0.220917 | ||||||||
\(485\) | −5.01899e11 | − | 8.69314e11i | −0.0187028 | − | 0.0323943i | ||||
\(486\) | 1.05536e12 | + | 6.09315e11i | 0.0389243 | + | 0.0224730i | ||||
\(487\) | −2.60250e12 | + | 4.50766e12i | −0.0950048 | + | 0.164553i | −0.909611 | − | 0.415462i | \(-0.863620\pi\) |
0.814606 | + | 0.580015i | \(0.196953\pi\) | |||||||
\(488\) | −2.48348e13 | + | 1.43384e13i | −0.897350 | + | 0.518085i | ||||
\(489\) | − | 9.48491e12i | − | 0.339226i | ||||||
\(490\) | −1.45005e12 | + | 2.14988e12i | −0.0513336 | + | 0.0761087i | ||||
\(491\) | −2.71231e13 | −0.950455 | −0.475227 | − | 0.879863i | \(-0.657634\pi\) | ||||
−0.475227 | + | 0.879863i | \(0.657634\pi\) | |||||||
\(492\) | 4.22763e12 | + | 7.32247e12i | 0.146646 | + | 0.253999i | ||||
\(493\) | 2.77482e12 | + | 1.60204e12i | 0.0952796 | + | 0.0550097i | ||||
\(494\) | 9.59270e12 | − | 1.66150e13i | 0.326066 | − | 0.564763i | ||||
\(495\) | 1.34605e12 | − | 7.77140e11i | 0.0452933 | − | 0.0261501i | ||||
\(496\) | 8.44757e12i | 0.281400i | ||||||||
\(497\) | 1.38559e12 | − | 1.29211e12i | 0.0456933 | − | 0.0426106i | ||||
\(498\) | −7.54817e12 | −0.246431 | ||||||||
\(499\) | 3.08518e12 | + | 5.34369e12i | 0.0997190 | + | 0.172718i | 0.911568 | − | 0.411149i | \(-0.134872\pi\) |
−0.811849 | + | 0.583867i | \(0.801539\pi\) | |||||||
\(500\) | −3.57961e12 | − | 2.06669e12i | −0.114548 | − | 0.0661341i | ||||
\(501\) | −4.53621e12 | + | 7.85694e12i | −0.143716 | + | 0.248923i | ||||
\(502\) | 8.24276e12 | − | 4.75896e12i | 0.258556 | − | 0.149277i | ||||
\(503\) | 2.17759e13i | 0.676296i | 0.941093 | + | 0.338148i | \(0.109800\pi\) | ||||
−0.941093 | + | 0.338148i | \(0.890200\pi\) | |||||||
\(504\) | −1.09608e13 | − | 3.35093e12i | −0.337047 | − | 0.103042i | ||||
\(505\) | 2.54064e12 | 0.0773547 | ||||||||
\(506\) | −1.13406e13 | − | 1.96425e13i | −0.341888 | − | 0.592168i | ||||
\(507\) | 2.89381e12 | + | 1.67074e12i | 0.0863834 | + | 0.0498735i | ||||
\(508\) | 9.69428e12 | − | 1.67910e13i | 0.286548 | − | 0.496315i | ||||
\(509\) | −2.41685e13 | + | 1.39537e13i | −0.707392 | + | 0.408413i | −0.810095 | − | 0.586299i | \(-0.800584\pi\) |
0.102702 | + | 0.994712i | \(0.467251\pi\) | |||||||
\(510\) | − | 2.27069e12i | − | 0.0658123i | ||||||
\(511\) | −3.45529e12 | + | 7.97756e11i | −0.0991700 | + | 0.0228963i | ||||
\(512\) | 1.59161e13 | 0.452363 | ||||||||
\(513\) | 2.93840e12 | + | 5.08946e12i | 0.0827037 | + | 0.143247i | ||||
\(514\) | 1.57285e13 | + | 9.08088e12i | 0.438402 | + | 0.253112i | ||||
\(515\) | −1.18115e12 | + | 2.04581e12i | −0.0326039 | + | 0.0564716i | ||||
\(516\) | −1.40135e13 | + | 8.09068e12i | −0.383087 | + | 0.221175i | ||||
\(517\) | − | 6.10394e13i | − | 1.65256i | ||||||
\(518\) | 1.93663e12 | + | 8.38806e12i | 0.0519276 | + | 0.224912i | ||||
\(519\) | 1.77004e13 | 0.470051 | ||||||||
\(520\) | −2.85211e12 | − | 4.94000e12i | −0.0750153 | − | 0.129930i | ||||
\(521\) | 2.41504e13 | + | 1.39433e13i | 0.629124 | + | 0.363225i | 0.780413 | − | 0.625265i | \(-0.215009\pi\) |
−0.151289 | + | 0.988490i | \(0.548342\pi\) | |||||||
\(522\) | 4.01005e11 | − | 6.94561e11i | 0.0103466 | − | 0.0179208i | ||||
\(523\) | 2.70588e13 | − | 1.56224e13i | 0.691512 | − | 0.399245i | −0.112666 | − | 0.993633i | \(-0.535939\pi\) |
0.804178 | + | 0.594388i | \(0.202606\pi\) | |||||||
\(524\) | − | 3.29059e13i | − | 0.832946i | ||||||
\(525\) | −6.61661e12 | + | 2.16428e13i | −0.165897 | + | 0.542646i | ||||
\(526\) | 5.50647e12 | 0.136755 | ||||||||
\(527\) | −3.06498e13 | − | 5.30870e13i | −0.754006 | − | 1.30598i | ||||
\(528\) | 5.69293e12 | + | 3.28682e12i | 0.138729 | + | 0.0800951i | ||||
\(529\) | 6.95503e12 | − | 1.20465e13i | 0.167888 | − | 0.290791i | ||||
\(530\) | 2.86276e12 | − | 1.65282e12i | 0.0684552 | − | 0.0395226i | ||||
\(531\) | − | 2.09639e13i | − | 0.496591i | ||||||
\(532\) | −1.27172e13 | − | 1.36373e13i | −0.298424 | − | 0.320014i | ||||
\(533\) | 4.64831e13 | 1.08058 | ||||||||
\(534\) | 1.48097e12 | + | 2.56512e12i | 0.0341068 | + | 0.0590747i | ||||
\(535\) | −7.55890e11 | − | 4.36413e11i | −0.0172460 | − | 0.00995701i | ||||
\(536\) | 4.03658e13 | − | 6.99157e13i | 0.912410 | − | 1.58034i | ||||
\(537\) | 2.69350e12 | − | 1.55510e12i | 0.0603179 | − | 0.0348246i | ||||
\(538\) | − | 1.56264e13i | − | 0.346694i | ||||||
\(539\) | 4.51636e13 | + | 3.04618e13i | 0.992760 | + | 0.669595i | ||||
\(540\) | 5.89463e11 | 0.0128377 | ||||||||
\(541\) | 3.62347e13 | + | 6.27603e13i | 0.781876 | + | 1.35425i | 0.930848 | + | 0.365408i | \(0.119070\pi\) |
−0.148971 | + | 0.988842i | \(0.547596\pi\) | |||||||
\(542\) | 2.78803e13 | + | 1.60967e13i | 0.596076 | + | 0.344145i | ||||
\(543\) | 4.40070e12 | − | 7.62223e12i | 0.0932228 | − | 0.161467i | ||||
\(544\) | −4.58523e13 | + | 2.64728e13i | −0.962424 | + | 0.555655i | ||||
\(545\) | − | 8.22249e12i | − | 0.171010i | ||||||
\(546\) | −1.55462e13 | + | 1.44974e13i | −0.320377 | + | 0.298763i | ||||
\(547\) | −8.00788e13 | −1.63524 | −0.817619 | − | 0.575760i | \(-0.804706\pi\) | ||||
−0.817619 | + | 0.575760i | \(0.804706\pi\) | |||||||
\(548\) | 1.99676e13 | + | 3.45849e13i | 0.404039 | + | 0.699815i | ||||
\(549\) | −1.41088e13 | − | 8.14570e12i | −0.282896 | − | 0.163330i | ||||
\(550\) | 2.07501e13 | − | 3.59402e13i | 0.412294 | − | 0.714114i | ||||
\(551\) | 3.34950e12 | − | 1.93384e12i | 0.0659511 | − | 0.0380769i | ||||
\(552\) | − | 2.54980e13i | − | 0.497519i | ||||||
\(553\) | −4.42117e13 | − | 1.35164e13i | −0.854893 | − | 0.261357i | ||||
\(554\) | 5.86155e12 | 0.112322 | ||||||||
\(555\) | −6.56193e11 | − | 1.13656e12i | −0.0124614 | − | 0.0215838i | ||||
\(556\) | 4.61920e13 | + | 2.66690e13i | 0.869346 | + | 0.501917i | ||||
\(557\) | 3.68766e13 | − | 6.38721e13i | 0.687820 | − | 1.19134i | −0.284721 | − | 0.958610i | \(-0.591901\pi\) |
0.972542 | − | 0.232729i | \(-0.0747656\pi\) | |||||||
\(558\) | −1.32882e13 | + | 7.67192e12i | −0.245637 | + | 0.141819i | ||||
\(559\) | 8.89577e13i | 1.62976i | ||||||||
\(560\) | 1.62913e12 | − | 3.76133e11i | 0.0295812 | − | 0.00682969i | ||||
\(561\) | −4.77015e13 | −0.858455 | ||||||||
\(562\) | −3.46419e13 | − | 6.00016e13i | −0.617904 | − | 1.07024i | ||||
\(563\) | −1.25607e12 | − | 7.25193e11i | −0.0222061 | − | 0.0128207i | 0.488856 | − | 0.872365i | \(-0.337414\pi\) |
−0.511062 | + | 0.859544i | \(0.670748\pi\) | |||||||
\(564\) | 1.15746e13 | − | 2.00479e13i | 0.202820 | − | 0.351295i | ||||
\(565\) | −6.84631e12 | + | 3.95272e12i | −0.118909 | + | 0.0686521i | ||||
\(566\) | 6.22334e13i | 1.07138i | ||||||||
\(567\) | −1.46481e12 | − | 6.34447e12i | −0.0249957 | − | 0.108263i | ||||
\(568\) | −3.90557e12 | −0.0660607 | ||||||||
\(569\) | 2.41974e13 | + | 4.19111e13i | 0.405702 | + | 0.702697i | 0.994403 | − | 0.105654i | \(-0.0336936\pi\) |
−0.588701 | + | 0.808351i | \(0.700360\pi\) | |||||||
\(570\) | −2.37375e12 | − | 1.37048e12i | −0.0394512 | − | 0.0227772i | ||||
\(571\) | −1.47155e13 | + | 2.54880e13i | −0.242435 | + | 0.419910i | −0.961407 | − | 0.275129i | \(-0.911279\pi\) |
0.718972 | + | 0.695039i | \(0.244613\pi\) | |||||||
\(572\) | −3.50098e13 | + | 2.02129e13i | −0.571754 | + | 0.330102i | ||||
\(573\) | 1.42364e13i | 0.230477i | ||||||||
\(574\) | −1.27358e13 | + | 4.16585e13i | −0.204393 | + | 0.668566i | ||||
\(575\) | −5.03472e13 | −0.801007 | ||||||||
\(576\) | 9.07484e12 | + | 1.57181e13i | 0.143129 | + | 0.247906i | ||||
\(577\) | 9.08727e13 | + | 5.24654e13i | 1.42087 | + | 0.820340i | 0.996373 | − | 0.0850900i | \(-0.0271178\pi\) |
0.424497 | + | 0.905430i | \(0.360451\pi\) | |||||||
\(578\) | −1.22445e13 | + | 2.12081e13i | −0.189803 | + | 0.328748i | ||||
\(579\) | −3.13188e13 | + | 1.80819e13i | −0.481296 | + | 0.277876i | ||||
\(580\) | − | 3.87940e11i | − | 0.00591050i | ||||||
\(581\) | 2.75062e13 | + | 2.94962e13i | 0.415480 | + | 0.445539i | ||||
\(582\) | 7.71125e12 | 0.115481 | ||||||||
\(583\) | −3.47215e13 | − | 6.01394e13i | −0.515532 | − | 0.892928i | ||||
\(584\) | 6.33091e12 | + | 3.65515e12i | 0.0931970 | + | 0.0538073i | ||||
\(585\) | 1.62030e12 | − | 2.80643e12i | 0.0236491 | − | 0.0409615i | ||||
\(586\) | −7.64978e13 | + | 4.41660e13i | −1.10703 | + | 0.639146i | ||||
\(587\) | − | 1.16227e14i | − | 1.66770i | −0.551994 | − | 0.833848i | \(-0.686133\pi\) | ||
0.551994 | − | 0.833848i | \(-0.313867\pi\) | |||||||
\(588\) | 9.05723e12 | + | 1.85691e13i | 0.128857 | + | 0.264182i | ||||
\(589\) | −7.39952e13 | −1.04382 | ||||||||
\(590\) | 4.88882e12 | + | 8.46768e12i | 0.0683823 | + | 0.118442i | ||||
\(591\) | −5.21925e13 | − | 3.01333e13i | −0.723887 | − | 0.417936i | ||||
\(592\) | 2.77529e12 | − | 4.80694e12i | 0.0381680 | − | 0.0661089i | ||||
\(593\) | 6.40260e13 | − | 3.69654e13i | 0.873137 | − | 0.504106i | 0.00474784 | − | 0.999989i | \(-0.498489\pi\) |
0.868390 | + | 0.495883i | \(0.165155\pi\) | |||||||
\(594\) | 1.19401e13i | 0.161464i | ||||||||
\(595\) | −8.87325e12 | + | 8.27461e12i | −0.118987 | + | 0.110959i | ||||
\(596\) | 1.13778e13 | 0.151296 | ||||||||
\(597\) | −8.32213e12 | − | 1.44144e13i | −0.109740 | − | 0.190074i | ||||
\(598\) | −4.09537e13 | − | 2.36446e13i | −0.535534 | − | 0.309191i | ||||
\(599\) | −1.50156e13 | + | 2.60078e13i | −0.194720 | + | 0.337264i | −0.946809 | − | 0.321797i | \(-0.895713\pi\) |
0.752089 | + | 0.659062i | \(0.229046\pi\) | |||||||
\(600\) | 4.04035e13 | − | 2.33270e13i | 0.519592 | − | 0.299987i | ||||
\(601\) | 3.22689e13i | 0.411540i | 0.978600 | + | 0.205770i | \(0.0659699\pi\) | ||||
−0.978600 | + | 0.205770i | \(0.934030\pi\) | |||||||
\(602\) | −7.97246e13 | − | 2.43733e13i | −1.00835 | − | 0.308271i | ||||
\(603\) | 4.58640e13 | 0.575288 | ||||||||
\(604\) | 3.70722e13 | + | 6.42109e13i | 0.461172 | + | 0.798774i | ||||
\(605\) | 3.99105e12 | + | 2.30423e12i | 0.0492391 | + | 0.0284282i | ||||
\(606\) | −9.75871e12 | + | 1.69026e13i | −0.119407 | + | 0.206819i | ||||
\(607\) | 1.12293e14 | − | 6.48326e13i | 1.36273 | − | 0.786775i | 0.372746 | − | 0.927933i | \(-0.378416\pi\) |
0.989987 | + | 0.141159i | \(0.0450828\pi\) | |||||||
\(608\) | 6.39111e13i | 0.769233i | ||||||||
\(609\) | −4.17546e12 | + | 9.64026e11i | −0.0498445 | + | 0.0115081i | ||||
\(610\) | 7.59838e12 | 0.0899646 | ||||||||
\(611\) | −6.36320e13 | − | 1.10214e14i | −0.747256 | − | 1.29429i | ||||
\(612\) | −1.56671e13 | − | 9.04542e12i | −0.182487 | − | 0.105359i | ||||
\(613\) | −1.87753e13 | + | 3.25197e13i | −0.216912 | + | 0.375703i | −0.953862 | − | 0.300244i | \(-0.902932\pi\) |
0.736950 | + | 0.675947i | \(0.236265\pi\) | |||||||
\(614\) | −2.92666e13 | + | 1.68971e13i | −0.335375 | + | 0.193629i | ||||
\(615\) | − | 6.64092e12i | − | 0.0754836i | ||||||
\(616\) | −2.52632e13 | − | 1.09422e14i | −0.284830 | − | 1.23367i | ||||
\(617\) | 5.76872e13 | 0.645139 | 0.322569 | − | 0.946546i | \(-0.395453\pi\) | ||||
0.322569 | + | 0.946546i | \(0.395453\pi\) | |||||||
\(618\) | −9.07369e12 | − | 1.57161e13i | −0.100656 | − | 0.174342i | ||||
\(619\) | −2.12295e13 | − | 1.22568e13i | −0.233607 | − | 0.134873i | 0.378628 | − | 0.925549i | \(-0.376396\pi\) |
−0.612235 | + | 0.790676i | \(0.709729\pi\) | |||||||
\(620\) | −3.71098e12 | + | 6.42760e12i | −0.0405070 | + | 0.0701602i | ||||
\(621\) | 1.25448e13 | − | 7.24274e12i | 0.135833 | − | 0.0784233i | ||||
\(622\) | 6.52976e13i | 0.701367i | ||||||||
\(623\) | 4.62699e12 | − | 1.51348e13i | 0.0493013 | − | 0.161263i | ||||
\(624\) | 1.37057e13 | 0.144870 | ||||||||
\(625\) | −4.52419e13 | − | 7.83612e13i | −0.474395 | − | 0.821677i | ||||
\(626\) | 3.74369e13 | + | 2.16142e13i | 0.389429 | + | 0.224837i | ||||
\(627\) | −2.87904e13 | + | 4.98664e13i | −0.297105 | + | 0.514601i | ||||
\(628\) | 8.91564e12 | − | 5.14744e12i | 0.0912755 | − | 0.0526979i | ||||
\(629\) | 4.02776e13i | 0.409082i | ||||||||
\(630\) | 2.07121e12 | + | 2.22105e12i | 0.0208699 | + | 0.0223798i | ||||
\(631\) | 1.15221e13 | 0.115182 | 0.0575911 | − | 0.998340i | \(-0.481658\pi\) | ||||
0.0575911 | + | 0.998340i | \(0.481658\pi\) | |||||||
\(632\) | 4.76522e13 | + | 8.25360e13i | 0.472604 | + | 0.818574i | ||||
\(633\) | 6.81951e13 | + | 3.93725e13i | 0.671019 | + | 0.387413i | ||||
\(634\) | 5.93275e13 | − | 1.02758e14i | 0.579175 | − | 1.00316i | ||||
\(635\) | −1.31880e13 | + | 7.61407e12i | −0.127735 | + | 0.0737477i | ||||
\(636\) | − | 2.63363e13i | − | 0.253087i | ||||||
\(637\) | 1.13304e14 | + | 7.92059e12i | 1.08031 | + | 0.0755197i | ||||
\(638\) | 7.85807e12 | 0.0743383 | ||||||||
\(639\) | −1.10939e12 | − | 1.92151e12i | −0.0104131 | − | 0.0180360i | ||||
\(640\) | 3.57368e12 | + | 2.06327e12i | 0.0332825 | + | 0.0192157i | ||||
\(641\) | −1.74415e13 | + | 3.02096e13i | −0.161174 | + | 0.279161i | −0.935290 | − | 0.353882i | \(-0.884861\pi\) |
0.774116 | + | 0.633044i | \(0.218195\pi\) | |||||||
\(642\) | 5.80680e12 | − | 3.35256e12i | 0.0532429 | − | 0.0307398i | ||||
\(643\) | 4.91365e13i | 0.447043i | 0.974699 | + | 0.223521i | \(0.0717552\pi\) | ||||
−0.974699 | + | 0.223521i | \(0.928245\pi\) | |||||||
\(644\) | −3.36139e13 | + | 3.13461e13i | −0.303451 | + | 0.282979i | ||||
\(645\) | 1.27092e13 | 0.113846 | ||||||||
\(646\) | 4.20607e13 | + | 7.28513e13i | 0.373864 | + | 0.647552i | ||||
\(647\) | −1.35858e14 | − | 7.84374e13i | −1.19829 | − | 0.691834i | −0.238118 | − | 0.971236i | \(-0.576530\pi\) |
−0.960174 | + | 0.279402i | \(0.909864\pi\) | |||||||
\(648\) | −6.71144e12 | + | 1.16246e13i | −0.0587410 | + | 0.101742i | ||||
\(649\) | 1.77884e14 | − | 1.02702e14i | 1.54495 | − | 0.891977i | ||||
\(650\) | − | 8.65258e13i | − | 0.745725i | ||||||
\(651\) | 7.84030e13 | + | 2.39693e13i | 0.670545 | + | 0.204998i | ||||
\(652\) | 3.52449e13 | 0.299129 | ||||||||
\(653\) | 5.34059e12 | + | 9.25017e12i | 0.0449804 | + | 0.0779083i | 0.887639 | − | 0.460540i | \(-0.152344\pi\) |
−0.842659 | + | 0.538448i | \(0.819011\pi\) | |||||||
\(654\) | 5.47032e13 | + | 3.15829e13i | 0.457219 | + | 0.263975i | ||||
\(655\) | −1.29225e13 | + | 2.23824e13i | −0.107186 | + | 0.185652i | ||||
\(656\) | 2.43240e13 | − | 1.40435e13i | 0.200224 | − | 0.115599i | ||||
\(657\) | 4.15301e12i | 0.0339263i | ||||||||
\(658\) | 1.16209e14 | − | 2.68302e13i | 0.942128 | − | 0.217518i | ||||
\(659\) | −1.38421e14 | −1.11372 | −0.556858 | − | 0.830608i | \(-0.687993\pi\) | ||||
−0.556858 | + | 0.830608i | \(0.687993\pi\) | |||||||
\(660\) | 2.88777e12 | + | 5.00176e12i | 0.0230591 | + | 0.0399396i | ||||
\(661\) | −7.13843e13 | − | 4.12137e13i | −0.565712 | − | 0.326614i | 0.189723 | − | 0.981838i | \(-0.439241\pi\) |
−0.755435 | + | 0.655224i | \(0.772574\pi\) | |||||||
\(662\) | −7.38441e13 | + | 1.27902e14i | −0.580799 | + | 1.00597i | ||||
\(663\) | −8.61306e13 | + | 4.97275e13i | −0.672341 | + | 0.388177i | ||||
\(664\) | − | 8.31412e13i | − | 0.644133i | ||||||
\(665\) | 3.29468e12 | + | 1.42701e13i | 0.0253341 | + | 0.109729i | ||||
\(666\) | 1.00818e13 | 0.0769430 | ||||||||
\(667\) | −4.76663e12 | − | 8.25604e12i | −0.0361062 | − | 0.0625378i | ||||
\(668\) | −2.91955e13 | − | 1.68561e13i | −0.219500 | − | 0.126728i | ||||
\(669\) | 4.08660e13 | − | 7.07819e13i | 0.304952 | − | 0.528192i | ||||
\(670\) | −1.85253e13 | + | 1.06956e13i | −0.137212 | + | 0.0792192i | ||||
\(671\) | − | 1.59623e14i | − | 1.17350i | ||||||
\(672\) | 2.07027e13 | − | 6.77181e13i | 0.151071 | − | 0.494150i | ||||
\(673\) | 4.49603e13 | 0.325652 | 0.162826 | − | 0.986655i | \(-0.447939\pi\) | ||||
0.162826 | + | 0.986655i | \(0.447939\pi\) | |||||||
\(674\) | 1.52098e13 | + | 2.63441e13i | 0.109351 | + | 0.189402i | ||||
\(675\) | 2.29534e13 | + | 1.32521e13i | 0.163805 | + | 0.0945730i | ||||
\(676\) | −6.20830e12 | + | 1.07531e13i | −0.0439784 | + | 0.0761728i | ||||
\(677\) | 9.88063e13 | − | 5.70459e13i | 0.694771 | − | 0.401126i | −0.110626 | − | 0.993862i | \(-0.535286\pi\) |
0.805397 | + | 0.592736i | \(0.201952\pi\) | |||||||
\(678\) | − | 6.07302e13i | − | 0.423893i | ||||||
\(679\) | −2.81005e13 | − | 3.01335e13i | −0.194700 | − | 0.208785i | ||||
\(680\) | 2.50111e13 | 0.172024 | ||||||||
\(681\) | −5.37228e13 | − | 9.30507e13i | −0.366795 | − | 0.635308i | ||||
\(682\) | −1.30197e14 | − | 7.51692e13i | −0.882427 | − | 0.509470i | ||||
\(683\) | −6.11574e13 | + | 1.05928e14i | −0.411477 | + | 0.712699i | −0.995051 | − | 0.0993607i | \(-0.968320\pi\) |
0.583575 | + | 0.812060i | \(0.301654\pi\) | |||||||
\(684\) | −1.89119e13 | + | 1.09188e13i | −0.126315 | + | 0.0729280i | ||||
\(685\) | − | 3.13659e13i | − | 0.207972i | ||||||
\(686\) | −3.81424e13 | + | 9.93736e13i | −0.251066 | + | 0.654110i | ||||
\(687\) | 4.41764e13 | 0.288674 | ||||||||
\(688\) | 2.68759e13 | + | 4.65505e13i | 0.174350 | + | 0.301982i | ||||
\(689\) | −1.25387e14 | − | 7.23925e13i | −0.807529 | − | 0.466227i | ||||
\(690\) | −3.37805e12 | + | 5.85095e12i | −0.0215983 | + | 0.0374094i | ||||
\(691\) | −1.32714e14 | + | 7.66222e13i | −0.842413 | + | 0.486367i | −0.858084 | − | 0.513510i | \(-0.828345\pi\) |
0.0156706 | + | 0.999877i | \(0.495012\pi\) | |||||||
\(692\) | 6.57726e13i | 0.414491i | ||||||||
\(693\) | 4.66586e13 | − | 4.35108e13i | 0.291921 | − | 0.272227i | ||||
\(694\) | 8.22885e13 | 0.511142 | ||||||||
\(695\) | −2.09463e13 | − | 3.62801e13i | −0.129177 | − | 0.223740i | ||||
\(696\) | 7.65041e12 | + | 4.41697e12i | 0.0468423 | + | 0.0270444i | ||||
\(697\) | −1.01906e14 | + | 1.76507e14i | −0.619494 | + | 1.07300i | ||||
\(698\) | 1.05076e13 | − | 6.06658e12i | 0.0634202 | − | 0.0366157i | ||||
\(699\) | 1.82943e14i | 1.09630i | ||||||||
\(700\) | −8.04222e13 | − | 2.45866e13i | −0.478504 | − | 0.146288i | ||||
\(701\) | 3.26430e12 | 0.0192841 | 0.00964207 | − | 0.999954i | \(-0.496931\pi\) | ||||
0.00964207 | + | 0.999954i | \(0.496931\pi\) | |||||||
\(702\) | 1.24472e13 | + | 2.15593e13i | 0.0730109 | + | 0.126459i | ||||
\(703\) | 4.21057e13 | + | 2.43097e13i | 0.245224 | + | 0.141580i | ||||
\(704\) | −8.89150e13 | + | 1.54005e14i | −0.514176 | + | 0.890579i | ||||
\(705\) | −1.57460e13 | + | 9.09094e12i | −0.0904116 | + | 0.0521991i | ||||
\(706\) | 7.61431e13i | 0.434117i | ||||||||
\(707\) | 1.01612e14 | − | 2.34602e13i | 0.575240 | − | 0.132811i | ||||
\(708\) | 7.78994e13 | 0.437893 | ||||||||
\(709\) | −4.12823e12 | − | 7.15031e12i | −0.0230427 | − | 0.0399111i | 0.854274 | − | 0.519823i | \(-0.174002\pi\) |
−0.877317 | + | 0.479912i | \(0.840669\pi\) | |||||||
\(710\) | 8.96202e11 | + | 5.17423e11i | 0.00496723 | + | 0.00286783i | ||||
\(711\) | −2.70714e13 | + | 4.68890e13i | −0.148992 | + | 0.258062i | ||||
\(712\) | −2.82541e13 | + | 1.63125e13i | −0.154412 | + | 0.0891500i | ||||
\(713\) | 1.82388e14i | 0.989801i | ||||||||
\(714\) | −2.09675e13 | − | 9.08157e13i | −0.112994 | − | 0.489407i | ||||
\(715\) | 3.17512e13 | 0.169914 | ||||||||
\(716\) | 5.77857e12 | + | 1.00088e13i | 0.0307083 | + | 0.0531883i | ||||
\(717\) | −1.61156e14 | − | 9.30435e13i | −0.850454 | − | 0.491010i | ||||
\(718\) | −2.36623e13 | + | 4.09843e13i | −0.124004 | + | 0.214781i | ||||
\(719\) | 1.04264e14 | − | 6.01969e13i | 0.542613 | − | 0.313278i | −0.203524 | − | 0.979070i | \(-0.565240\pi\) |
0.746137 | + | 0.665792i | \(0.231906\pi\) | |||||||
\(720\) | − | 1.95810e12i | − | 0.0101198i | ||||||
\(721\) | −2.83489e13 | + | 9.27284e13i | −0.145499 | + | 0.475923i | ||||
\(722\) | −3.59174e13 | −0.183071 | ||||||||
\(723\) | 3.36174e13 | + | 5.82271e13i | 0.170166 | + | 0.294736i | ||||
\(724\) | 2.83234e13 | + | 1.63525e13i | 0.142381 | + | 0.0822038i | ||||
\(725\) | 8.72157e12 | − | 1.51062e13i | 0.0435416 | − | 0.0754163i | ||||
\(726\) | −3.06596e13 | + | 1.77013e13i | −0.152014 | + | 0.0877652i | ||||
\(727\) | 1.67274e14i | 0.823676i | 0.911257 | + | 0.411838i | \(0.135113\pi\) | ||||
−0.911257 | + | 0.411838i | \(0.864887\pi\) | |||||||
\(728\) | −1.59685e14 | − | 1.71238e14i | −0.780922 | − | 0.837418i | ||||
\(729\) | −7.62560e12 | −0.0370370 | ||||||||
\(730\) | −9.68492e11 | − | 1.67748e12i | −0.00467177 | − | 0.00809174i | ||||
\(731\) | −3.37793e14 | − | 1.95025e14i | −1.61832 | − | 0.934335i | ||||
\(732\) | 3.02685e13 | − | 5.24267e13i | 0.144024 | − | 0.249458i | ||||
\(733\) | −1.39896e14 | + | 8.07690e13i | −0.661128 | + | 0.381702i | −0.792707 | − | 0.609603i | \(-0.791329\pi\) |
0.131579 | + | 0.991306i | \(0.457995\pi\) | |||||||
\(734\) | − | 2.36109e14i | − | 1.10823i | ||||||
\(735\) | 1.13159e12 | − | 1.61874e13i | 0.00527538 | − | 0.0754642i | ||||
\(736\) | 1.57532e14 | 0.729422 | ||||||||
\(737\) | 2.24687e14 | + | 3.89169e14i | 1.03333 | + | 1.78979i | ||||
\(738\) | 4.41812e13 | + | 2.55080e13i | 0.201816 | + | 0.116519i | ||||
\(739\) | −1.06338e14 | + | 1.84183e14i | −0.482467 | + | 0.835658i | −0.999797 | − | 0.0201281i | \(-0.993593\pi\) |
0.517330 | + | 0.855786i | \(0.326926\pi\) | |||||||
\(740\) | 4.22333e12 | − | 2.43834e12i | 0.0190325 | − | 0.0109884i | ||||
\(741\) | 1.20053e14i | 0.537380i | ||||||||
\(742\) | 9.92334e13 | − | 9.25386e13i | 0.441203 | − | 0.411437i | ||||
\(743\) | 4.10878e14 | 1.81455 | 0.907275 | − | 0.420539i | \(-0.138159\pi\) | ||||
0.907275 | + | 0.420539i | \(0.138159\pi\) | |||||||
\(744\) | −8.45042e13 | − | 1.46366e14i | −0.370692 | − | 0.642058i | ||||
\(745\) | −7.73911e12 | − | 4.46818e12i | −0.0337217 | − | 0.0194692i | ||||
\(746\) | 9.82127e13 | − | 1.70109e14i | 0.425083 | − | 0.736265i | ||||
\(747\) | 4.09048e13 | − | 2.36164e13i | 0.175862 | − | 0.101534i | ||||
\(748\) | − | 1.77254e14i | − | 0.756984i | ||||||
\(749\) | −3.42614e13 | − | 1.04744e13i | −0.145344 | − | 0.0444344i | ||||
\(750\) | −2.49394e13 | −0.105094 | ||||||||
\(751\) | −6.39216e13 | − | 1.10716e14i | −0.267577 | − | 0.463456i | 0.700659 | − | 0.713496i | \(-0.252890\pi\) |
−0.968235 | + | 0.250040i | \(0.919556\pi\) | |||||||
\(752\) | −6.65957e13 | − | 3.84490e13i | −0.276922 | − | 0.159881i | ||||
\(753\) | −2.97793e13 | + | 5.15793e13i | −0.123010 | + | 0.213059i | ||||
\(754\) | 1.41887e13 | − | 8.19184e12i | 0.0582217 | − | 0.0336143i | ||||
\(755\) | − | 5.82344e13i | − | 0.237380i | ||||||
\(756\) | 2.35754e13 | − | 5.44307e12i | 0.0954663 | − | 0.0220412i | ||||
\(757\) | 2.20498e14 | 0.887002 | 0.443501 | − | 0.896274i | \(-0.353736\pi\) | ||||
0.443501 | + | 0.896274i | \(0.353736\pi\) | |||||||
\(758\) | 9.78199e13 | + | 1.69429e14i | 0.390914 | + | 0.677083i | ||||
\(759\) | 1.22914e14 | + | 7.09642e13i | 0.487968 | + | 0.281728i | ||||
\(760\) | 1.50955e13 | − | 2.61462e13i | 0.0595361 | − | 0.103120i | ||||
\(761\) | 4.11760e14 | − | 2.37730e14i | 1.61332 | − | 0.931451i | 0.624727 | − | 0.780843i | \(-0.285210\pi\) |
0.988594 | − | 0.150608i | \(-0.0481232\pi\) | |||||||
\(762\) | − | 1.16984e14i | − | 0.455356i | ||||||
\(763\) | −7.59261e13 | − | 3.28856e14i | −0.293608 | − | 1.27170i | ||||
\(764\) | −5.29009e13 | −0.203234 | ||||||||
\(765\) | 7.10445e12 | + | 1.23053e13i | 0.0271158 | + | 0.0469660i | ||||
\(766\) | 1.76470e13 | + | 1.01885e13i | 0.0669157 | + | 0.0386338i | ||||
\(767\) | 2.14128e14 | − | 3.70880e14i | 0.806670 | − | 1.39719i | ||||
\(768\) | −1.42177e14 | + | 8.20861e13i | −0.532138 | + | 0.307230i | ||||
\(769\) | − | 1.79281e14i | − | 0.666656i | −0.942811 | − | 0.333328i | \(-0.891828\pi\) | ||
0.942811 | − | 0.333328i | \(-0.108172\pi\) | |||||||
\(770\) | −8.69945e12 | + | 2.84557e13i | −0.0321394 | + | 0.105127i | ||||
\(771\) | −1.13648e14 | −0.417146 | ||||||||
\(772\) | −6.71904e13 | − | 1.16377e14i | −0.245031 | − | 0.424406i | ||||
\(773\) | 1.92713e14 | + | 1.11263e14i | 0.698252 | + | 0.403136i | 0.806696 | − | 0.590966i | \(-0.201253\pi\) |
−0.108444 | + | 0.994103i | \(0.534587\pi\) | |||||||
\(774\) | −4.88164e13 | + | 8.45525e13i | −0.175736 | + | 0.304384i | ||||
\(775\) | −2.89008e14 | + | 1.66859e14i | −1.03371 | + | 0.596815i | ||||
\(776\) | 8.49374e13i | 0.301850i | ||||||||
\(777\) | −3.67392e13 | − | 3.93971e13i | −0.129725 | − | 0.139110i | ||||
\(778\) | −3.98295e14 | −1.39736 | ||||||||
\(779\) | 1.23012e14 | + | 2.13063e14i | 0.428805 | + | 0.742712i | ||||
\(780\) | 1.04284e13 | + | 6.02085e12i | 0.0361198 | + | 0.0208538i | ||||
\(781\) | 1.08697e13 | − | 1.88269e13i | 0.0374079 | − | 0.0647924i | ||||
\(782\) | 1.79568e14 | − | 1.03674e14i | 0.614038 | − | 0.354515i | ||||
\(783\) | 5.01859e12i | 0.0170519i | ||||||||
\(784\) | 6.16834e13 | − | 3.00866e13i | 0.208252 | − | 0.101576i | ||||
\(785\) | −8.08580e12 | −0.0271253 | ||||||||
\(786\) | −9.92713e13 | − | 1.71943e14i | −0.330911 | − | 0.573154i | ||||
\(787\) | 3.65332e14 | + | 2.10925e14i | 1.21008 | + | 0.698641i | 0.962777 | − | 0.270297i | \(-0.0871219\pi\) |
0.247305 | + | 0.968938i | \(0.420455\pi\) | |||||||
\(788\) | 1.11972e14 | − | 1.93942e14i | 0.368536 | − | 0.638322i | ||||
\(789\) | −2.98405e13 | + | 1.72284e13i | −0.0975935 | + | 0.0563456i | ||||
\(790\) | − | 2.52524e13i | − | 0.0820669i | ||||||
\(791\) | −2.37317e14 | + | 2.21306e14i | −0.766384 | + | 0.714680i | ||||
\(792\) | −1.31517e14 | −0.422042 | ||||||||
\(793\) | −1.66402e14 | − | 2.88217e14i | −0.530632 | − | 0.919082i | ||||
\(794\) | 6.26129e13 | + | 3.61496e13i | 0.198409 | + | 0.114551i | ||||
\(795\) | −1.03425e13 | + | 1.79138e13i | −0.0325680 | + | 0.0564095i | ||||
\(796\) | 5.35622e13 | − | 3.09242e13i | 0.167607 | − | 0.0967682i | ||||
\(797\) | 2.79320e14i | 0.868582i | 0.900773 | + | 0.434291i | \(0.143001\pi\) | ||||
−0.900773 | + | 0.434291i | \(0.856999\pi\) | |||||||
\(798\) | −1.07592e14 | − | 3.28931e13i | −0.332481 | − | 0.101646i | ||||
\(799\) | 5.58009e14 | 1.71359 | ||||||||
\(800\) | 1.44119e14 | + | 2.49621e14i | 0.439816 | + | 0.761783i | ||||
\(801\) | −1.60513e13 | − | 9.26721e12i | −0.0486796 | − | 0.0281052i | ||||
\(802\) | 3.14307e13 | − | 5.44396e13i | 0.0947289 | − | 0.164075i | ||||
\(803\) | −3.52395e13 | + | 2.03455e13i | −0.105549 | + | 0.0609385i | ||||
\(804\) | 1.70426e14i | 0.507288i | ||||||||
\(805\) | 3.51738e13 | − | 8.12091e12i | 0.104050 | − | 0.0240229i | ||||
\(806\) | −3.13448e14 | −0.921489 | ||||||||
\(807\) | 4.88911e13 | + | 8.46819e13i | 0.142844 | + | 0.247413i | ||||
\(808\) | −1.86178e14 | − | 1.07490e14i | −0.540593 | − | 0.312112i | ||||
\(809\) | −4.36961e12 | + | 7.56838e12i | −0.0126096 | + | 0.0218404i | −0.872261 | − | 0.489040i | \(-0.837347\pi\) |
0.859652 | + | 0.510880i | \(0.170681\pi\) | |||||||
\(810\) | 3.08012e12 | − | 1.77831e12i | 0.00883369 | − | 0.00510013i | ||||
\(811\) | 1.63354e14i | 0.465614i | 0.972523 | + | 0.232807i | \(0.0747910\pi\) | ||||
−0.972523 | + | 0.232807i | \(0.925209\pi\) | |||||||
\(812\) | −3.58222e12 | − | 1.55155e13i | −0.0101478 | − | 0.0439528i | ||||
\(813\) | −2.01451e14 | −0.567175 | ||||||||
\(814\) | 4.93908e13 | + | 8.55474e13i | 0.138205 | + | 0.239378i | ||||
\(815\) | −2.39734e13 | − | 1.38410e13i | −0.0666716 | − | 0.0384929i | ||||
\(816\) | −3.00474e13 | + | 5.20436e13i | −0.0830531 | + | 0.143852i | ||||
\(817\) | −4.07752e14 | + | 2.35416e14i | −1.12017 | + | 0.646733i | ||||
\(818\) | − | 4.28764e14i | − | 1.17072i | ||||||
\(819\) | 3.88888e13 | − | 1.27204e14i | 0.105537 | − | 0.345209i | ||||
\(820\) | 2.46770e13 | 0.0665614 | ||||||||
\(821\) | 7.89153e12 | + | 1.36685e13i | 0.0211566 | + | 0.0366442i | 0.876410 | − | 0.481566i | \(-0.159932\pi\) |
−0.855253 | + | 0.518210i | \(0.826598\pi\) | |||||||
\(822\) | 2.08673e14 | + | 1.20478e14i | 0.556042 | + | 0.321031i | ||||
\(823\) | 1.25919e14 | − | 2.18099e14i | 0.333498 | − | 0.577636i | −0.649697 | − | 0.760193i | \(-0.725104\pi\) |
0.983195 | + | 0.182557i | \(0.0584375\pi\) | |||||||
\(824\) | 1.73109e14 | − | 9.99443e13i | 0.455704 | − | 0.263101i | ||||
\(825\) | 2.59688e14i | 0.679489i | ||||||||
\(826\) | 2.73717e14 | + | 2.93519e14i | 0.711871 | + | 0.763373i | ||||
\(827\) | −4.57149e14 | −1.18176 | −0.590882 | − | 0.806758i | \(-0.701220\pi\) | ||||
−0.590882 | + | 0.806758i | \(0.701220\pi\) | |||||||
\(828\) | 2.69133e13 | + | 4.66151e13i | 0.0691536 | + | 0.119778i | ||||
\(829\) | −4.85859e14 | − | 2.80511e14i | −1.24090 | − | 0.716435i | −0.271624 | − | 0.962403i | \(-0.587561\pi\) |
−0.969278 | + | 0.245968i | \(0.920894\pi\) | |||||||
\(830\) | −1.10148e13 | + | 1.90782e13i | −0.0279632 | + | 0.0484336i | ||||
\(831\) | −3.17647e13 | + | 1.83394e13i | −0.0801567 | + | 0.0462785i | ||||
\(832\) | 3.70766e14i | 0.930002i | ||||||||
\(833\) | −2.78476e14 | + | 4.12876e14i | −0.694324 | + | 1.02942i | ||||
\(834\) | 3.21823e14 | 0.797602 | ||||||||
\(835\) | 1.32391e13 | + | 2.29307e13i | 0.0326156 | + | 0.0564919i | ||||
\(836\) | −1.85298e14 | − | 1.06982e14i | −0.453774 | − | 0.261987i | ||||
\(837\) | 4.80072e13 | − | 8.31509e13i | 0.116864 | − | 0.202414i | ||||
\(838\) | −3.41966e14 | + | 1.97434e14i | −0.827491 | + | 0.477752i | ||||
\(839\) | 1.70360e14i | 0.409787i | 0.978784 | + | 0.204894i | \(0.0656848\pi\) | ||||
−0.978784 | + | 0.204894i | \(0.934315\pi\) | |||||||
\(840\) | −2.44643e13 | + | 2.28138e13i | −0.0584974 | + | 0.0545508i | ||||
\(841\) | −4.17404e14 | −0.992149 | ||||||||
\(842\) | 1.20467e14 | + | 2.08654e14i | 0.284647 | + | 0.493022i | ||||
\(843\) | 3.75461e14 | + | 2.16773e14i | 0.881916 | + | 0.509174i | ||||
\(844\) | −1.46304e14 | + | 2.53406e14i | −0.341620 | + | 0.591704i | ||||
\(845\) | 8.44569e12 | − | 4.87612e12i | 0.0196043 | − | 0.0113185i | ||||
\(846\) | − | 1.39675e14i | − | 0.322304i | ||||||
\(847\) | 1.80898e14 | + | 5.53040e13i | 0.414970 | + | 0.126864i | ||||
\(848\) | −8.74850e13 | −0.199505 | ||||||||
\(849\) | −1.94713e14 | − | 3.37254e14i | −0.441426 | − | 0.764571i | ||||
\(850\) | 3.28558e14 | + | 1.89693e14i | 0.740487 | + | 0.427520i | ||||
\(851\) | 5.99199e13 | − | 1.03784e14i | 0.134253 | − | 0.232533i | ||||
\(852\) | 7.14014e12 | − | 4.12236e12i | 0.0159041 | − | 0.00918223i | ||||
\(853\) | − | 7.66036e14i | − | 1.69631i | −0.529752 | − | 0.848153i | \(-0.677715\pi\) | ||
0.529752 | − | 0.848153i | \(-0.322285\pi\) | |||||||
\(854\) | 3.03895e14 | − | 7.01631e13i | 0.669013 | − | 0.154461i | ||||
\(855\) | 1.71517e13 | 0.0375384 | ||||||||
\(856\) | 3.69276e13 | + | 6.39604e13i | 0.0803493 | + | 0.139169i | ||||
\(857\) | −4.21214e14 | − | 2.43188e14i | −0.911169 | − | 0.526064i | −0.0303618 | − | 0.999539i | \(-0.509666\pi\) |
−0.880807 | + | 0.473475i | \(0.842999\pi\) | |||||||
\(858\) | −1.21958e14 | + | 2.11237e14i | −0.262285 | + | 0.454290i | ||||
\(859\) | 2.21234e14 | − | 1.27730e14i | 0.473028 | − | 0.273103i | −0.244478 | − | 0.969655i | \(-0.578617\pi\) |
0.717506 | + | 0.696552i | \(0.245283\pi\) | |||||||
\(860\) | 4.72259e13i | 0.100389i | ||||||||
\(861\) | −6.13219e13 | − | 2.65602e14i | −0.129599 | − | 0.561326i | ||||
\(862\) | −4.29073e13 | −0.0901560 | ||||||||
\(863\) | −1.74136e14 | − | 3.01613e14i | −0.363777 | − | 0.630080i | 0.624802 | − | 0.780783i | \(-0.285180\pi\) |
−0.988579 | + | 0.150703i | \(0.951846\pi\) | |||||||
\(864\) | −7.18189e13 | − | 4.14647e13i | −0.149166 | − | 0.0861211i | ||||
\(865\) | 2.58296e13 | − | 4.47381e13i | 0.0533379 | − | 0.0923840i | ||||
\(866\) | −3.95526e13 | + | 2.28357e13i | −0.0812054 | + | 0.0468840i | ||||
\(867\) | − | 1.53241e14i | − | 0.312809i | ||||||
\(868\) | −8.90674e13 | + | 2.91337e14i | −0.180767 | + | 0.591286i | ||||
\(869\) | −5.30490e14 | −1.07048 | ||||||||
\(870\) | −1.17035e12 | − | 2.02710e12i | −0.00234811 | − | 0.00406705i | ||||
\(871\) | 8.11398e14 | + | 4.68461e14i | 1.61861 | + | 0.934507i | ||||
\(872\) | −3.47878e14 | + | 6.02542e14i | −0.689992 | + | 1.19510i | ||||
\(873\) | −4.17886e13 | + | 2.41267e13i | −0.0824112 | + | 0.0475802i | ||||
\(874\) | − | 2.50290e14i | − | 0.490780i | ||||||
\(875\) | 9.08814e13 | + | 9.74563e13i | 0.177188 | + | 0.190007i | ||||
\(876\) | −1.54321e13 | −0.0299162 | ||||||||
\(877\) | −5.71038e13 | − | 9.89067e13i | −0.110069 | − | 0.190646i | 0.805729 | − | 0.592285i | \(-0.201774\pi\) |
−0.915798 | + | 0.401639i | \(0.868441\pi\) | |||||||
\(878\) | 3.28761e14 | + | 1.89810e14i | 0.630098 | + | 0.363787i | ||||
\(879\) | 2.76370e14 | − | 4.78687e14i | 0.526679 | − | 0.912235i | ||||
\(880\) | 1.66150e13 | − | 9.59269e12i | 0.0314838 | − | 0.0181772i | ||||
\(881\) | − | 5.86760e14i | − | 1.10556i | −0.833328 | − | 0.552779i | \(-0.813567\pi\) | ||
0.833328 | − | 0.552779i | \(-0.186433\pi\) | |||||||
\(882\) | 1.03346e14 | + | 6.97049e13i | 0.193621 | + | 0.130593i | ||||
\(883\) | −1.43320e14 | −0.266994 | −0.133497 | − | 0.991049i | \(-0.542621\pi\) | ||||
−0.133497 | + | 0.991049i | \(0.542621\pi\) | |||||||
\(884\) | −1.84782e14 | − | 3.20052e14i | −0.342294 | − | 0.592870i | ||||
\(885\) | −5.29867e13 | − | 3.05919e13i | −0.0976001 | − | 0.0563494i | ||||
\(886\) | 3.47599e14 | − | 6.02058e14i | 0.636663 | − | 1.10273i | ||||
\(887\) | −5.26442e13 | + | 3.03942e13i | −0.0958810 | + | 0.0553569i | −0.547174 | − | 0.837019i | \(-0.684296\pi\) |
0.451293 | + | 0.892376i | \(0.350963\pi\) | |||||||
\(888\) | 1.11049e14i | 0.201117i | ||||||||
\(889\) | −4.57141e14 | + | 4.26300e14i | −0.823268 | + | 0.767726i | ||||
\(890\) | 8.64454e12 | 0.0154807 | ||||||||
\(891\) | −3.73577e13 | − | 6.47054e13i | −0.0665260 | − | 0.115226i | ||||
\(892\) | 2.63018e14 | + | 1.51854e14i | 0.465759 | + | 0.268906i | ||||
\(893\) | 3.36789e14 | − | 5.83335e14i | 0.593062 | − | 1.02721i | ||||
\(894\) | 5.94524e13 | − | 3.43249e13i | 0.104108 | − | 0.0601065i | ||||
\(895\) | − | 9.07720e12i | − | 0.0158065i | ||||||
\(896\) | 1.61981e14 | + | 4.95206e13i | 0.280494 | + | 0.0857523i | ||||
\(897\) | 2.95913e14 | 0.509568 | ||||||||
\(898\) | −1.30315e14 | − | 2.25713e14i | −0.223159 | − | 0.386522i | ||||
\(899\) | −5.47236e13 | − | 3.15947e13i | −0.0931915 | − | 0.0538042i | ||||
\(900\) | −4.92436e13 | + | 8.52924e13i | −0.0833944 | + | 0.144443i | ||||
\(901\) | 5.49782e14 | − | 3.17417e14i | 0.925905 | − | 0.534571i | ||||
\(902\) | 4.99854e14i | 0.837164i | ||||||||
\(903\) | 5.08299e14 | − | 1.17356e14i | 0.846605 | − | 0.195463i | ||||
\(904\) | 6.68927e14 | 1.10799 | ||||||||
\(905\) | −1.28436e13 | − | 2.22457e13i | −0.0211565 | − | 0.0366441i | ||||
\(906\) | 3.87426e14 | + | 2.23681e14i | 0.634670 | + | 0.366427i | ||||
\(907\) | −1.28682e14 | + | 2.22883e14i | −0.209643 | + | 0.363113i | −0.951602 | − | 0.307333i | \(-0.900564\pi\) |
0.741959 | + | 0.670445i | \(0.233897\pi\) | |||||||
\(908\) | 3.45766e14 | − | 1.99628e14i | 0.560213 | − | 0.323439i | ||||
\(909\) | − | 1.22131e14i | − | 0.196791i | ||||||
\(910\) | 1.39564e13 | + | 6.04491e13i | 0.0223649 | + | 0.0968685i | ||||
\(911\) | 4.61711e13 | 0.0735832 | 0.0367916 | − | 0.999323i | \(-0.488286\pi\) | ||||
0.0367916 | + | 0.999323i | \(0.488286\pi\) | |||||||
\(912\) | 3.62704e13 | + | 6.28222e13i | 0.0574882 | + | 0.0995724i | ||||
\(913\) | 4.00784e14 | + | 2.31393e14i | 0.631767 | + | 0.364751i | ||||
\(914\) | 2.42341e14 | − | 4.19747e14i | 0.379924 | − | 0.658047i | ||||
\(915\) | −4.11769e13 | + | 2.37735e13i | −0.0642020 | + | 0.0370670i | ||||
\(916\) | 1.64155e14i | 0.254552i | ||||||||
\(917\) | −3.10153e14 | + | 1.01450e15i | −0.478331 | + | 1.56461i | ||||
\(918\) | −1.09154e14 | −0.167427 | ||||||||
\(919\) | −3.97775e14 | − | 6.88967e14i | −0.606821 | − | 1.05104i | −0.991761 | − | 0.128103i | \(-0.959111\pi\) |
0.384940 | − | 0.922941i | \(-0.374222\pi\) | |||||||
\(920\) | −6.44467e13 | − | 3.72083e13i | −0.0977826 | − | 0.0564548i | ||||
\(921\) | 1.05734e14 | − | 1.83136e14i | 0.159557 | − | 0.276361i | ||||
\(922\) | −3.74459e14 | + | 2.16194e14i | −0.562017 | + | 0.324480i | ||||
\(923\) | − | 4.53257e13i | − | 0.0676606i | ||||||
\(924\) | 1.61681e14 | + | 1.73379e14i | 0.240049 | + | 0.257416i | ||||
\(925\) | 2.19273e14 | 0.323799 | ||||||||
\(926\) | −3.30087e14 | − | 5.71727e14i | −0.484812 | − | 0.839719i | ||||
\(927\) | 9.83437e13 | + | 5.67788e13i | 0.143664 | + | 0.0829445i | ||||
\(928\) | −2.72889e13 | + | 4.72658e13i | −0.0396503 | + | 0.0686764i | ||||
\(929\) | −5.14642e14 | + | 2.97128e14i | −0.743749 | + | 0.429404i | −0.823431 | − | 0.567417i | \(-0.807943\pi\) |
0.0796819 | + | 0.996820i | \(0.474610\pi\) | |||||||
\(930\) | 4.47815e13i | 0.0643701i | ||||||||
\(931\) | 2.63539e14 | + | 5.40307e14i | 0.376788 | + | 0.772489i | ||||
\(932\) | −6.79797e14 | −0.966718 | ||||||||
\(933\) | −2.04300e14 | − | 3.53859e14i | −0.288975 | − | 0.500520i | ||||
\(934\) | −7.75841e14 | − | 4.47932e14i | −1.09154 | − | 0.630199i | ||||
\(935\) | −6.96092e13 | + | 1.20567e14i | −0.0974111 | + | 0.168721i | ||||
\(936\) | −2.37470e14 | + | 1.37103e14i | −0.330544 | + | 0.190839i | ||||
\(937\) | − | 3.17963e14i | − | 0.440229i | −0.975474 | − | 0.220114i | \(-0.929357\pi\) | ||
0.975474 | − | 0.220114i | \(-0.0706431\pi\) | |||||||
\(938\) | −6.42152e14 | + | 5.98829e14i | −0.884348 | + | 0.824685i | ||||
\(939\) | −2.70503e14 | −0.370547 | ||||||||
\(940\) | −3.37810e13 | − | 5.85104e13i | −0.0460291 | − | 0.0797248i | ||||
\(941\) | 3.92034e14 | + | 2.26341e14i | 0.531343 | + | 0.306771i | 0.741563 | − | 0.670883i | \(-0.234085\pi\) |
−0.210220 | + | 0.977654i | \(0.567418\pi\) | |||||||
\(942\) | 3.10579e13 | − | 5.37938e13i | 0.0418714 | − | 0.0725234i | ||||
\(943\) | 5.25169e14 | − | 3.03207e14i | 0.704272 | − | 0.406612i | ||||
\(944\) | − | 2.58769e14i | − | 0.345185i | ||||||
\(945\) | −1.81734e13 | − | 5.55595e12i | −0.0241144 | − | 0.00737223i | ||||
\(946\) | −9.56603e14 | −1.26263 | ||||||||
\(947\) | 4.42256e14 | + | 7.66010e14i | 0.580663 | + | 1.00574i | 0.995401 | + | 0.0957963i | \(0.0305398\pi\) |
−0.414738 | + | 0.909941i | \(0.636127\pi\) | |||||||
\(948\) | −1.74235e14 | − | 1.00594e14i | −0.227558 | − | 0.131381i | ||||
\(949\) | −4.24194e13 | + | 7.34726e13i | −0.0551104 | + | 0.0954540i | ||||
\(950\) | 3.96605e14 | − | 2.28980e14i | 0.512554 | − | 0.295923i | ||||
\(951\) | 7.42486e14i | 0.954522i | ||||||||
\(952\) | 1.00031e15 | − | 2.30951e14i | 1.27924 | − | 0.295349i | ||||
\(953\) | 5.18429e14 | 0.659515 | 0.329758 | − | 0.944066i | \(-0.393033\pi\) | ||||
0.329758 | + | 0.944066i | \(0.393033\pi\) | |||||||
\(954\) | −7.94522e13 | − | 1.37615e14i | −0.100546 | − | 0.174150i | ||||
\(955\) | 3.59828e13 | + | 2.07747e13i | 0.0452979 | + | 0.0261528i | ||||
\(956\) | 3.45740e14 | − | 5.98839e14i | 0.432972 | − | 0.749930i | ||||
\(957\) | −4.25842e13 | + | 2.45860e13i | −0.0530504 | + | 0.0306287i | ||||
\(958\) | 1.07660e15i | 1.33421i | ||||||||
\(959\) | −2.89631e14 | − | 1.25447e15i | −0.357069 | − | 1.54656i | ||||
\(960\) | 5.29705e13 | 0.0649647 | ||||||||
\(961\) | 1.94647e14 | + | 3.37139e14i | 0.237482 | + | 0.411331i | ||||
\(962\) | 1.78362e14 | + | 1.02977e14i | 0.216484 | + | 0.124987i | ||||
\(963\) | −2.09787e13 | + | 3.63362e13i | −0.0253307 | + | 0.0438741i | ||||
\(964\) | −2.16366e14 | + | 1.24919e14i | −0.259898 | + | 0.150052i | ||||
\(965\) | 1.05545e14i | 0.126125i | ||||||||
\(966\) | −8.10767e13 | + | 2.65200e14i | −0.0963852 | + | 0.315274i | ||||
\(967\) | 1.76168e14 | 0.208350 | 0.104175 | − | 0.994559i | \(-0.466780\pi\) | ||||
0.104175 | + | 0.994559i | \(0.466780\pi\) | |||||||
\(968\) | −1.94975e14 | − | 3.37707e14i | −0.229405 | − | 0.397341i | ||||
\(969\) | −4.55868e14 | − | 2.63196e14i | −0.533606 | − | 0.308078i | ||||
\(970\) | 1.12528e13 | − | 1.94904e13i | 0.0131039 | − | 0.0226966i | ||||
\(971\) | −7.28251e14 | + | 4.20456e14i | −0.843694 | + | 0.487107i | −0.858518 | − | 0.512783i | \(-0.828615\pi\) |
0.0148238 | + | 0.999890i | \(0.495281\pi\) | |||||||
\(972\) | − | 2.83359e13i | − | 0.0326592i | ||||||
\(973\) | −1.17275e15 | − | 1.25759e15i | −1.34475 | − | 1.44204i | ||||
\(974\) | −1.16698e14 | −0.133128 | ||||||||
\(975\) | 2.70718e14 | + | 4.68898e14i | 0.307252 | + | 0.532176i | ||||
\(976\) | −1.74153e14 | − | 1.00547e14i | −0.196644 | − | 0.113533i | ||||
\(977\) | −7.52039e14 | + | 1.30257e15i | −0.844827 | + | 1.46328i | 0.0409445 | + | 0.999161i | \(0.486963\pi\) |
−0.885771 | + | 0.464122i | \(0.846370\pi\) | |||||||
\(978\) | 1.84165e14 | − | 1.06328e14i | 0.205832 | − | 0.118837i | ||||
\(979\) | − | 1.81600e14i | − | 0.201930i | ||||||
\(980\) | 6.01508e13 | + | 4.20488e12i | 0.0665443 | + | 0.00465183i | ||||
\(981\) | −3.95261e14 | −0.435050 | ||||||||
\(982\) | −3.04055e14 | − | 5.26639e14i | −0.332962 | − | 0.576708i | ||||
\(983\) | 1.10681e13 | + | 6.39017e12i | 0.0120588 | + | 0.00696217i | 0.506017 | − | 0.862523i | \(-0.331117\pi\) |
−0.493958 | + | 0.869485i | \(0.664451\pi\) | |||||||
\(984\) | −2.80964e14 | + | 4.86645e14i | −0.304562 | + | 0.527517i | ||||
\(985\) | −1.52326e14 | + | 8.79452e13i | −0.164283 | + | 0.0948486i | ||||
\(986\) | 7.18368e13i | 0.0770837i | ||||||||
\(987\) | −5.45811e14 | + | 5.08987e14i | −0.582715 | + | 0.543402i | ||||
\(988\) | −4.46104e14 | −0.473861 | ||||||||
\(989\) | 5.80266e14 | + | 1.00505e15i | 0.613261 | + | 1.06220i | ||||
\(990\) | 3.01789e13 | + | 1.74238e13i | 0.0317342 | + | 0.0183217i | ||||
\(991\) | 3.16984e14 | − | 5.49032e14i | 0.331641 | − | 0.574419i | −0.651193 | − | 0.758913i | \(-0.725731\pi\) |
0.982834 | + | 0.184493i | \(0.0590643\pi\) | |||||||
\(992\) | 9.04277e14 | − | 5.22084e14i | 0.941332 | − | 0.543478i | ||||
\(993\) | − | 9.24161e14i | − | 0.957197i | ||||||
\(994\) | 4.06212e13 | + | 1.24187e13i | 0.0418621 | + | 0.0127980i | ||||
\(995\) | −4.85769e13 | −0.0498097 | ||||||||
\(996\) | 8.77561e13 | + | 1.51998e14i | 0.0895325 | + | 0.155075i | ||||
\(997\) | 2.65124e14 | + | 1.53069e14i | 0.269137 | + | 0.155386i | 0.628495 | − | 0.777813i | \(-0.283671\pi\) |
−0.359359 | + | 0.933200i | \(0.617005\pi\) | |||||||
\(998\) | −6.91710e13 | + | 1.19808e14i | −0.0698669 | + | 0.121013i | ||||
\(999\) | −5.46352e13 | + | 3.15437e13i | −0.0549092 | + | 0.0317019i |
(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 | 21.11.f.a.10.4 | ✓ | 12 | |
3.2 | odd | 2 | 63.11.m.b.10.3 | 12 | |||
7.3 | odd | 6 | 147.11.d.a.97.5 | 12 | |||
7.4 | even | 3 | 147.11.d.a.97.6 | 12 | |||
7.5 | odd | 6 | inner | 21.11.f.a.19.4 | yes | 12 | |
21.5 | even | 6 | 63.11.m.b.19.3 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
21.11.f.a.10.4 | ✓ | 12 | 1.1 | even | 1 | trivial | |
21.11.f.a.19.4 | yes | 12 | 7.5 | odd | 6 | inner | |
63.11.m.b.10.3 | 12 | 3.2 | odd | 2 | |||
63.11.m.b.19.3 | 12 | 21.5 | even | 6 | |||
147.11.d.a.97.5 | 12 | 7.3 | odd | 6 | |||
147.11.d.a.97.6 | 12 | 7.4 | even | 3 |