Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,8,Mod(5,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.5");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.e (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(11.8706309684\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 17.3 | ||
Character | \(\chi\) | \(=\) | 38.17 |
Dual form | 38.8.e.b.9.3 |
$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.38919 | + | 7.87846i | −0.122788 | + | 0.696364i | ||||
\(3\) | −12.0854 | − | 10.1408i | −0.258426 | − | 0.216845i | 0.504365 | − | 0.863491i | \(-0.331727\pi\) |
−0.762790 | + | 0.646646i | \(0.776171\pi\) | |||||||
\(4\) | −60.1403 | − | 21.8893i | −0.469846 | − | 0.171010i | ||||
\(5\) | −307.410 | + | 111.888i | −1.09982 | + | 0.400303i | −0.827251 | − | 0.561832i | \(-0.810097\pi\) |
−0.272572 | + | 0.962135i | \(0.587874\pi\) | |||||||
\(6\) | 96.6830 | − | 81.1267i | 0.182735 | − | 0.153332i | ||||
\(7\) | 444.097 | + | 769.199i | 0.489367 | + | 0.847609i | 0.999925 | − | 0.0122347i | \(-0.00389453\pi\) |
−0.510558 | + | 0.859843i | \(0.670561\pi\) | |||||||
\(8\) | 256.000 | − | 443.405i | 0.176777 | − | 0.306186i | ||||
\(9\) | −336.549 | − | 1908.66i | −0.153886 | − | 0.872731i | ||||
\(10\) | −454.457 | − | 2577.35i | −0.143712 | − | 0.815030i | ||||
\(11\) | 1665.01 | − | 2883.88i | 0.377175 | − | 0.653286i | −0.613475 | − | 0.789714i | \(-0.710229\pi\) |
0.990650 | + | 0.136428i | \(0.0435623\pi\) | |||||||
\(12\) | 504.843 | + | 874.413i | 0.0843377 | + | 0.146077i | ||||
\(13\) | 2839.61 | − | 2382.72i | 0.358474 | − | 0.300795i | −0.445708 | − | 0.895178i | \(-0.647048\pi\) |
0.804182 | + | 0.594383i | \(0.202604\pi\) | |||||||
\(14\) | −6677.03 | + | 2430.24i | −0.650333 | + | 0.236702i | ||||
\(15\) | 4849.80 | + | 1765.18i | 0.371026 | + | 0.135043i | ||||
\(16\) | 3137.72 | + | 2632.86i | 0.191511 | + | 0.160697i | ||||
\(17\) | 3206.13 | − | 18182.8i | 0.158274 | − | 0.897616i | −0.797457 | − | 0.603375i | \(-0.793822\pi\) |
0.955731 | − | 0.294241i | \(-0.0950667\pi\) | |||||||
\(18\) | 15504.9 | 0.626634 | ||||||||
\(19\) | 26846.2 | − | 13158.8i | 0.897935 | − | 0.440129i | ||||
\(20\) | 20936.9 | 0.585204 | ||||||||
\(21\) | 2433.24 | − | 13799.6i | 0.0573346 | − | 0.325161i | ||||
\(22\) | 20407.6 | + | 17124.0i | 0.408613 | + | 0.342867i | ||||
\(23\) | 39510.6 | + | 14380.7i | 0.677120 | + | 0.246452i | 0.657610 | − | 0.753358i | \(-0.271567\pi\) |
0.0195096 | + | 0.999810i | \(0.493790\pi\) | |||||||
\(24\) | −7590.35 | + | 2762.66i | −0.112079 | + | 0.0407933i | ||||
\(25\) | 22134.7 | − | 18573.2i | 0.283324 | − | 0.237737i | ||||
\(26\) | 14827.4 | + | 25681.8i | 0.165447 | + | 0.286562i | ||||
\(27\) | −32539.5 | + | 56360.1i | −0.318155 | + | 0.551060i | ||||
\(28\) | −9870.93 | − | 55980.8i | −0.0849777 | − | 0.481932i | ||||
\(29\) | −31376.8 | − | 177946.i | −0.238899 | − | 1.35487i | −0.834244 | − | 0.551395i | \(-0.814096\pi\) |
0.595345 | − | 0.803470i | \(-0.297015\pi\) | |||||||
\(30\) | −20644.2 | + | 35756.8i | −0.139596 | + | 0.241788i | ||||
\(31\) | −8989.89 | − | 15571.0i | −0.0541987 | − | 0.0938749i | 0.837653 | − | 0.546203i | \(-0.183927\pi\) |
−0.891852 | + | 0.452328i | \(0.850594\pi\) | |||||||
\(32\) | −25101.7 | + | 21062.9i | −0.135419 | + | 0.113630i | ||||
\(33\) | −49367.3 | + | 17968.2i | −0.239133 | + | 0.0870374i | ||||
\(34\) | 138799. | + | 50518.7i | 0.605633 | + | 0.220433i | ||||
\(35\) | −222584. | − | 186770.i | −0.877517 | − | 0.736325i | ||||
\(36\) | −21539.1 | + | 122154.i | −0.0769430 | + | 0.436366i | ||||
\(37\) | −21044.8 | −0.0683028 | −0.0341514 | − | 0.999417i | \(-0.510873\pi\) | ||||
−0.0341514 | + | 0.999417i | \(0.510873\pi\) | |||||||
\(38\) | 66377.1 | + | 229787.i | 0.196235 | + | 0.679332i | ||||
\(39\) | −58480.5 | −0.157865 | ||||||||
\(40\) | −29085.2 | + | 164950.i | −0.0718559 | + | 0.407515i | ||||
\(41\) | −360569. | − | 302553.i | −0.817043 | − | 0.685581i | 0.135235 | − | 0.990814i | \(-0.456821\pi\) |
−0.952278 | + | 0.305233i | \(0.901266\pi\) | |||||||
\(42\) | 105339. | + | 38340.3i | 0.219390 | + | 0.0798515i | ||||
\(43\) | −653299. | + | 237782.i | −1.25306 | + | 0.456077i | −0.881435 | − | 0.472305i | \(-0.843422\pi\) |
−0.371627 | + | 0.928382i | \(0.621200\pi\) | |||||||
\(44\) | −163260. | + | 136992.i | −0.288933 | + | 0.242443i | ||||
\(45\) | 317015. | + | 549086.i | 0.518604 | + | 0.898249i | ||||
\(46\) | −168185. | + | 291305.i | −0.254762 | + | 0.441261i | ||||
\(47\) | −95540.2 | − | 541835.i | −0.134228 | − | 0.761246i | −0.975394 | − | 0.220469i | \(-0.929241\pi\) |
0.841166 | − | 0.540777i | \(-0.181870\pi\) | |||||||
\(48\) | −11221.1 | − | 63638.1i | −0.0146451 | − | 0.0830564i | ||||
\(49\) | 17327.2 | − | 30011.7i | 0.0210399 | − | 0.0364421i | ||||
\(50\) | 115579. | + | 200189.i | 0.130763 | + | 0.226488i | ||||
\(51\) | −223136. | + | 187234.i | −0.235545 | + | 0.197646i | ||||
\(52\) | −222931. | + | 81140.4i | −0.219867 | + | 0.0800249i | ||||
\(53\) | 1.86218e6 | + | 677778.i | 1.71813 | + | 0.625348i | 0.997675 | − | 0.0681535i | \(-0.0217108\pi\) |
0.720455 | + | 0.693502i | \(0.243933\pi\) | |||||||
\(54\) | −398828. | − | 334656.i | −0.344673 | − | 0.289215i | ||||
\(55\) | −189169. | + | 1.07283e6i | −0.153313 | + | 0.869483i | ||||
\(56\) | 454755. | 0.346035 | ||||||||
\(57\) | −457887. | − | 113213.i | −0.327489 | − | 0.0809719i | ||||
\(58\) | 1.44553e6 | 0.972814 | ||||||||
\(59\) | 359536. | − | 2.03903e6i | 0.227908 | − | 1.29253i | −0.629138 | − | 0.777293i | \(-0.716592\pi\) |
0.857047 | − | 0.515239i | \(-0.172297\pi\) | |||||||
\(60\) | −253030. | − | 212317.i | −0.151232 | − | 0.126898i | ||||
\(61\) | −2.21750e6 | − | 807103.i | −1.25086 | − | 0.455276i | −0.370168 | − | 0.928965i | \(-0.620700\pi\) |
−0.880692 | + | 0.473689i | \(0.842922\pi\) | |||||||
\(62\) | 135164. | − | 49195.6i | 0.0720260 | − | 0.0262153i | ||||
\(63\) | 1.31868e6 | − | 1.10650e6i | 0.664428 | − | 0.557521i | ||||
\(64\) | −131072. | − | 227023.i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −606328. | + | 1.05019e6i | −0.273849 | + | 0.474320i | ||||
\(66\) | −72981.6 | − | 413899.i | −0.0312471 | − | 0.177211i | ||||
\(67\) | −366437. | − | 2.07817e6i | −0.148846 | − | 0.844147i | −0.964198 | − | 0.265182i | \(-0.914568\pi\) |
0.815352 | − | 0.578965i | \(-0.196543\pi\) | |||||||
\(68\) | −590827. | + | 1.02334e6i | −0.227866 | + | 0.394675i | ||||
\(69\) | −331668. | − | 574466.i | −0.121543 | − | 0.210519i | ||||
\(70\) | 1.78067e6 | − | 1.49416e6i | 0.620499 | − | 0.520660i | ||||
\(71\) | 3.72738e6 | − | 1.35666e6i | 1.23595 | − | 0.449848i | 0.360317 | − | 0.932830i | \(-0.382669\pi\) |
0.875630 | + | 0.482982i | \(0.160446\pi\) | |||||||
\(72\) | −932467. | − | 339390.i | −0.294422 | − | 0.107161i | ||||
\(73\) | 2.93824e6 | + | 2.46548e6i | 0.884010 | + | 0.741772i | 0.967000 | − | 0.254778i | \(-0.0820024\pi\) |
−0.0829896 | + | 0.996550i | \(0.526447\pi\) | |||||||
\(74\) | 29235.1 | − | 165801.i | 0.00838675 | − | 0.0475636i | ||||
\(75\) | −455854. | −0.124770 | ||||||||
\(76\) | −1.90257e6 | + | 203734.i | −0.497158 | + | 0.0532372i | ||||
\(77\) | 2.95771e6 | 0.738308 | ||||||||
\(78\) | 81240.3 | − | 460737.i | 0.0193839 | − | 0.109931i | ||||
\(79\) | 1.08430e6 | + | 909835.i | 0.247431 | + | 0.207619i | 0.758065 | − | 0.652179i | \(-0.226145\pi\) |
−0.510634 | + | 0.859798i | \(0.670589\pi\) | |||||||
\(80\) | −1.25915e6 | − | 458294.i | −0.274956 | − | 0.100076i | ||||
\(81\) | −3.01823e6 | + | 1.09855e6i | −0.631037 | + | 0.229679i | ||||
\(82\) | 2.88455e6 | − | 2.42043e6i | 0.577737 | − | 0.484779i | ||||
\(83\) | 480460. | + | 832180.i | 0.0922324 | + | 0.159751i | 0.908450 | − | 0.417993i | \(-0.137266\pi\) |
−0.816218 | + | 0.577744i | \(0.803933\pi\) | |||||||
\(84\) | −448398. | + | 776648.i | −0.0825442 | + | 0.142971i | ||||
\(85\) | 1.04885e6 | + | 5.94831e6i | 0.185245 | + | 1.05058i | ||||
\(86\) | −965799. | − | 5.47732e6i | −0.163735 | − | 0.928589i | ||||
\(87\) | −1.42532e6 | + | 2.46873e6i | −0.232058 | + | 0.401936i | ||||
\(88\) | −852486. | − | 1.47655e6i | −0.133351 | − | 0.230971i | ||||
\(89\) | −1.97640e6 | + | 1.65840e6i | −0.297174 | + | 0.249358i | −0.779167 | − | 0.626817i | \(-0.784357\pi\) |
0.481993 | + | 0.876175i | \(0.339913\pi\) | |||||||
\(90\) | −4.76635e6 | + | 1.73481e6i | −0.689187 | + | 0.250843i | ||||
\(91\) | 3.09385e6 | + | 1.12607e6i | 0.430382 | + | 0.156646i | ||||
\(92\) | −2.06140e6 | − | 1.72972e6i | −0.275997 | − | 0.231589i | ||||
\(93\) | −49256.2 | + | 279346.i | −0.00634995 | + | 0.0360124i | ||||
\(94\) | 4.40155e6 | 0.546586 | ||||||||
\(95\) | −6.78046e6 | + | 7.04892e6i | −0.811384 | + | 0.843510i | ||||
\(96\) | 516959. | 0.0596357 | ||||||||
\(97\) | −1.24295e6 | + | 7.04913e6i | −0.138278 | + | 0.784213i | 0.834243 | + | 0.551397i | \(0.185905\pi\) |
−0.972521 | + | 0.232816i | \(0.925206\pi\) | |||||||
\(98\) | 212375. | + | 178204.i | 0.0227936 | + | 0.0191261i | ||||
\(99\) | −6.06472e6 | − | 2.20738e6i | −0.628185 | − | 0.228641i | ||||
\(100\) | −1.73774e6 | + | 632487.i | −0.173774 | + | 0.0632487i | ||||
\(101\) | 9.25691e6 | − | 7.76747e6i | 0.894008 | − | 0.750161i | −0.0750023 | − | 0.997183i | \(-0.523896\pi\) |
0.969010 | + | 0.247022i | \(0.0794520\pi\) | |||||||
\(102\) | −1.16514e6 | − | 2.01807e6i | −0.108712 | − | 0.188294i | ||||
\(103\) | 166034. | − | 287580.i | 0.0149716 | − | 0.0259315i | −0.858443 | − | 0.512910i | \(-0.828568\pi\) |
0.873414 | + | 0.486978i | \(0.161901\pi\) | |||||||
\(104\) | −329568. | − | 1.86908e6i | −0.0287295 | − | 0.162933i | ||||
\(105\) | 796006. | + | 4.51437e6i | 0.0671048 | + | 0.380570i | ||||
\(106\) | −7.92676e6 | + | 1.37296e7i | −0.646435 | + | 1.11966i | ||||
\(107\) | −4.55053e6 | − | 7.88175e6i | −0.359103 | − | 0.621984i | 0.628708 | − | 0.777641i | \(-0.283584\pi\) |
−0.987811 | + | 0.155657i | \(0.950251\pi\) | |||||||
\(108\) | 3.19062e6 | − | 2.67725e6i | 0.243721 | − | 0.204506i | ||||
\(109\) | 1.63087e6 | − | 593590.i | 0.120622 | − | 0.0439029i | −0.281004 | − | 0.959707i | \(-0.590667\pi\) |
0.401626 | + | 0.915804i | \(0.368445\pi\) | |||||||
\(110\) | −8.18946e6 | − | 2.98072e6i | −0.586652 | − | 0.213524i | ||||
\(111\) | 254334. | + | 213412.i | 0.0176512 | + | 0.0148111i | ||||
\(112\) | −631739. | + | 3.58277e6i | −0.0424888 | + | 0.240966i | ||||
\(113\) | −2.46229e7 | −1.60533 | −0.802664 | − | 0.596431i | \(-0.796585\pi\) | ||||
−0.802664 | + | 0.596431i | \(0.796585\pi\) | |||||||
\(114\) | 1.52803e6 | − | 3.45018e6i | 0.0965976 | − | 0.218109i | ||||
\(115\) | −1.37550e7 | −0.843368 | ||||||||
\(116\) | −2.00811e6 | + | 1.13886e7i | −0.119450 | + | 0.677433i | ||||
\(117\) | −5.50348e6 | − | 4.61797e6i | −0.317678 | − | 0.266563i | ||||
\(118\) | 1.55650e7 | + | 5.66518e6i | 0.872089 | + | 0.317414i | ||||
\(119\) | 1.54100e7 | − | 5.60880e6i | 0.838281 | − | 0.305109i | ||||
\(120\) | 2.02424e6 | − | 1.69854e6i | 0.106937 | − | 0.0897307i | ||||
\(121\) | 4.19906e6 | + | 7.27299e6i | 0.215478 | + | 0.373219i | ||||
\(122\) | 9.43924e6 | − | 1.63493e7i | 0.470628 | − | 0.815152i | ||||
\(123\) | 1.28947e6 | + | 7.31294e6i | 0.0624803 | + | 0.354343i | ||||
\(124\) | 199818. | + | 1.13322e6i | 0.00941150 | + | 0.0533753i | ||||
\(125\) | 8.05255e6 | − | 1.39474e7i | 0.368764 | − | 0.638718i | ||||
\(126\) | 6.88566e6 | + | 1.19263e7i | 0.306654 | + | 0.531140i | ||||
\(127\) | 8.23959e6 | − | 6.91384e6i | 0.356938 | − | 0.299507i | −0.446631 | − | 0.894718i | \(-0.647376\pi\) |
0.803569 | + | 0.595212i | \(0.202932\pi\) | |||||||
\(128\) | 1.97068e6 | − | 717268.i | 0.0830579 | − | 0.0302306i | ||||
\(129\) | 1.03067e7 | + | 3.75132e6i | 0.422722 | + | 0.153858i | ||||
\(130\) | −7.43158e6 | − | 6.23584e6i | −0.296674 | − | 0.248939i | ||||
\(131\) | 6.70109e6 | − | 3.80038e7i | 0.260433 | − | 1.47699i | −0.521299 | − | 0.853374i | \(-0.674552\pi\) |
0.781732 | − | 0.623614i | \(-0.214336\pi\) | |||||||
\(132\) | 3.36227e6 | 0.127240 | ||||||||
\(133\) | 2.20441e7 | + | 1.48062e7i | 0.812477 | + | 0.545712i | ||||
\(134\) | 1.68818e7 | 0.606110 | ||||||||
\(135\) | 3.69695e6 | − | 2.09665e7i | 0.129323 | − | 0.733427i | ||||
\(136\) | −7.24159e6 | − | 6.07642e6i | −0.246858 | − | 0.207139i | ||||
\(137\) | −1.85136e6 | − | 673840.i | −0.0615133 | − | 0.0223890i | 0.311080 | − | 0.950384i | \(-0.399309\pi\) |
−0.372594 | + | 0.927995i | \(0.621531\pi\) | |||||||
\(138\) | 4.98665e6 | − | 1.81499e6i | 0.161522 | − | 0.0587893i | ||||
\(139\) | 2.20746e7 | − | 1.85228e7i | 0.697174 | − | 0.584998i | −0.223794 | − | 0.974636i | \(-0.571844\pi\) |
0.920968 | + | 0.389638i | \(0.127400\pi\) | |||||||
\(140\) | 9.29801e6 | + | 1.61046e7i | 0.286379 | + | 0.496024i | ||||
\(141\) | −4.34002e6 | + | 7.51714e6i | −0.130384 | + | 0.225832i | ||||
\(142\) | 5.51034e6 | + | 3.12507e7i | 0.161499 | + | 0.915905i | ||||
\(143\) | −2.14350e6 | − | 1.21564e7i | −0.0612980 | − | 0.347638i | ||||
\(144\) | 3.96924e6 | − | 6.87493e6i | 0.110774 | − | 0.191867i | ||||
\(145\) | 2.95556e7 | + | 5.11918e7i | 0.805104 | + | 1.39448i | ||||
\(146\) | −2.35059e7 | + | 1.97238e7i | −0.625089 | + | 0.524512i | ||||
\(147\) | −513749. | + | 186989.i | −0.0133395 | + | 0.00485519i | ||||
\(148\) | 1.26564e6 | + | 460656.i | 0.0320918 | + | 0.0116805i | ||||
\(149\) | −4.04195e7 | − | 3.39160e7i | −1.00101 | − | 0.839949i | −0.0138880 | − | 0.999904i | \(-0.504421\pi\) |
−0.987124 | + | 0.159954i | \(0.948865\pi\) | |||||||
\(150\) | 633266. | − | 3.59143e6i | 0.0153203 | − | 0.0868857i | ||||
\(151\) | −3.72349e7 | −0.880098 | −0.440049 | − | 0.897974i | \(-0.645039\pi\) | ||||
−0.440049 | + | 0.897974i | \(0.645039\pi\) | |||||||
\(152\) | 1.03792e6 | − | 1.52724e7i | 0.0239724 | − | 0.352740i | ||||
\(153\) | −3.57839e7 | −0.807733 | ||||||||
\(154\) | −4.10880e6 | + | 2.33022e7i | −0.0906552 | + | 0.514131i | ||||
\(155\) | 4.50579e6 | + | 3.78080e6i | 0.0971873 | + | 0.0815499i | ||||
\(156\) | 3.51704e6 | + | 1.28010e6i | 0.0741722 | + | 0.0269965i | ||||
\(157\) | 5.22193e6 | − | 1.90063e6i | 0.107692 | − | 0.0391966i | −0.287612 | − | 0.957747i | \(-0.592861\pi\) |
0.395304 | + | 0.918550i | \(0.370639\pi\) | |||||||
\(158\) | −8.67439e6 | + | 7.27868e6i | −0.174960 | + | 0.146809i | ||||
\(159\) | −1.56319e7 | − | 2.70752e7i | −0.308405 | − | 0.534174i | ||||
\(160\) | 5.35984e6 | − | 9.28352e6i | 0.103450 | − | 0.179181i | ||||
\(161\) | 6.48493e6 | + | 3.67779e7i | 0.122466 | + | 0.694538i | ||||
\(162\) | −4.46197e6 | − | 2.53051e7i | −0.0824563 | − | 0.467633i | ||||
\(163\) | 4.93186e7 | − | 8.54223e7i | 0.891978 | − | 1.54495i | 0.0544764 | − | 0.998515i | \(-0.482651\pi\) |
0.837501 | − | 0.546435i | \(-0.184016\pi\) | |||||||
\(164\) | 1.50621e7 | + | 2.60883e7i | 0.266643 | + | 0.461840i | ||||
\(165\) | 1.31656e7 | − | 1.10472e7i | 0.228163 | − | 0.191452i | ||||
\(166\) | −7.22375e6 | + | 2.62923e6i | −0.122570 | + | 0.0446118i | ||||
\(167\) | −5.06527e7 | − | 1.84361e7i | −0.841579 | − | 0.306310i | −0.114977 | − | 0.993368i | \(-0.536679\pi\) |
−0.726602 | + | 0.687058i | \(0.758902\pi\) | |||||||
\(168\) | −5.49589e6 | − | 4.61160e6i | −0.0894243 | − | 0.0750359i | ||||
\(169\) | −8.51011e6 | + | 4.82632e7i | −0.135622 | + | 0.769153i | ||||
\(170\) | −4.83206e7 | −0.754330 | ||||||||
\(171\) | −3.41508e7 | − | 4.68117e7i | −0.522294 | − | 0.715926i | ||||
\(172\) | 4.44945e7 | 0.666741 | ||||||||
\(173\) | −1.37922e7 | + | 7.82192e7i | −0.202521 | + | 1.14856i | 0.698772 | + | 0.715345i | \(0.253730\pi\) |
−0.901293 | + | 0.433210i | \(0.857381\pi\) | |||||||
\(174\) | −1.74698e7 | − | 1.46589e7i | −0.251400 | − | 0.210950i | ||||
\(175\) | 2.41165e7 | + | 8.77768e6i | 0.340158 | + | 0.123807i | ||||
\(176\) | 1.28172e7 | − | 4.66508e6i | 0.177214 | − | 0.0645007i | ||||
\(177\) | −2.50226e7 | + | 2.09964e7i | −0.339176 | + | 0.284603i | ||||
\(178\) | −1.03200e7 | − | 1.78748e7i | −0.137155 | − | 0.237559i | ||||
\(179\) | −7.18428e7 | + | 1.24435e8i | −0.936263 | + | 1.62165i | −0.163896 | + | 0.986478i | \(0.552406\pi\) |
−0.772367 | + | 0.635177i | \(0.780927\pi\) | |||||||
\(180\) | −7.04628e6 | − | 3.99615e7i | −0.0900547 | − | 0.510726i | ||||
\(181\) | 1.24723e7 | + | 7.07339e7i | 0.156341 | + | 0.886651i | 0.957550 | + | 0.288267i | \(0.0930791\pi\) |
−0.801210 | + | 0.598384i | \(0.795810\pi\) | |||||||
\(182\) | −1.31696e7 | + | 2.28104e7i | −0.161928 | + | 0.280468i | ||||
\(183\) | 1.86146e7 | + | 3.22414e7i | 0.224530 | + | 0.388897i | ||||
\(184\) | 1.64912e7 | − | 1.38377e7i | 0.195159 | − | 0.163758i | ||||
\(185\) | 6.46938e6 | − | 2.35466e6i | 0.0751210 | − | 0.0273418i | ||||
\(186\) | −2.13239e6 | − | 776126.i | −0.0242980 | − | 0.00884376i | ||||
\(187\) | −4.70990e7 | − | 3.95207e7i | −0.526703 | − | 0.441956i | ||||
\(188\) | −6.11457e6 | + | 3.46775e7i | −0.0671141 | + | 0.380623i | ||||
\(189\) | −5.78028e7 | −0.622777 | ||||||||
\(190\) | −4.61154e7 | − | 6.32119e7i | −0.487762 | − | 0.668592i | ||||
\(191\) | 2.67113e7 | 0.277382 | 0.138691 | − | 0.990336i | \(-0.455711\pi\) | ||||
0.138691 | + | 0.990336i | \(0.455711\pi\) | |||||||
\(192\) | −718152. | + | 4.07284e6i | −0.00732254 | + | 0.0415282i | ||||
\(193\) | 1.20802e8 | + | 1.01365e8i | 1.20955 | + | 1.01493i | 0.999305 | + | 0.0372819i | \(0.0118699\pi\) |
0.210243 | + | 0.977649i | \(0.432575\pi\) | |||||||
\(194\) | −5.38096e7 | − | 1.95851e7i | −0.529119 | − | 0.192584i | ||||
\(195\) | 1.79775e7 | − | 6.54328e6i | 0.173623 | − | 0.0631937i | ||||
\(196\) | −1.69900e6 | + | 1.42563e6i | −0.0161175 | + | 0.0135242i | ||||
\(197\) | 2.80157e6 | + | 4.85247e6i | 0.0261078 | + | 0.0452200i | 0.878784 | − | 0.477220i | \(-0.158355\pi\) |
−0.852676 | + | 0.522440i | \(0.825022\pi\) | |||||||
\(198\) | 2.58158e7 | − | 4.47142e7i | 0.236351 | − | 0.409371i | ||||
\(199\) | 1.05964e6 | + | 6.00951e6i | 0.00953174 | + | 0.0540572i | 0.989203 | − | 0.146554i | \(-0.0468183\pi\) |
−0.979671 | + | 0.200611i | \(0.935707\pi\) | |||||||
\(200\) | −2.56898e6 | − | 1.45694e7i | −0.0227068 | − | 0.128777i | ||||
\(201\) | −1.66458e7 | + | 2.88314e7i | −0.144583 | + | 0.250426i | ||||
\(202\) | 4.83362e7 | + | 8.37207e7i | 0.412612 | + | 0.714666i | ||||
\(203\) | 1.22942e8 | − | 1.03160e8i | 1.03149 | − | 0.865520i | ||||
\(204\) | 1.75179e7 | − | 6.37600e6i | 0.144470 | − | 0.0525826i | ||||
\(205\) | 1.44695e8 | + | 5.26645e7i | 1.17304 | + | 0.426953i | ||||
\(206\) | 2.03504e6 | + | 1.70760e6i | 0.0162195 | + | 0.0136098i | ||||
\(207\) | 1.41506e7 | − | 8.02521e7i | 0.110887 | − | 0.628869i | ||||
\(208\) | 1.51833e7 | 0.116989 | ||||||||
\(209\) | 6.75059e6 | − | 9.93308e7i | 0.0511482 | − | 0.752614i | ||||
\(210\) | −3.66721e7 | −0.273255 | ||||||||
\(211\) | −2.65553e7 | + | 1.50603e8i | −0.194609 | + | 1.10368i | 0.718365 | + | 0.695666i | \(0.244891\pi\) |
−0.912974 | + | 0.408017i | \(0.866220\pi\) | |||||||
\(212\) | −9.71560e7 | − | 8.15236e7i | −0.700316 | − | 0.587635i | ||||
\(213\) | −5.88044e7 | − | 2.14031e7i | −0.416948 | − | 0.151757i | ||||
\(214\) | 6.84176e7 | − | 2.49020e7i | 0.477221 | − | 0.173694i | ||||
\(215\) | 1.74226e8 | − | 1.46193e8i | 1.19558 | − | 1.00321i | ||||
\(216\) | 1.66602e7 | + | 2.88564e7i | 0.112485 | + | 0.194829i | ||||
\(217\) | 7.98477e6 | − | 1.38300e7i | 0.0530461 | − | 0.0918785i | ||||
\(218\) | 2.41099e6 | + | 1.36734e7i | 0.0157615 | + | 0.0893878i | ||||
\(219\) | −1.05077e7 | − | 5.95924e7i | −0.0676013 | − | 0.383386i | ||||
\(220\) | 3.48601e7 | − | 6.03795e7i | 0.220724 | − | 0.382305i | ||||
\(221\) | −3.42204e7 | − | 5.92715e7i | −0.213262 | − | 0.369380i | ||||
\(222\) | −2.03467e6 | + | 1.70729e6i | −0.0124813 | + | 0.0104730i | ||||
\(223\) | −1.27679e8 | + | 4.64713e7i | −0.770995 | + | 0.280619i | −0.697413 | − | 0.716670i | \(-0.745665\pi\) |
−0.0735826 | + | 0.997289i | \(0.523443\pi\) | |||||||
\(224\) | −2.73491e7 | − | 9.95427e6i | −0.162583 | − | 0.0591754i | ||||
\(225\) | −4.28995e7 | − | 3.59969e7i | −0.251081 | − | 0.210682i | ||||
\(226\) | 3.42057e7 | − | 1.93990e8i | 0.197115 | − | 1.11789i | ||||
\(227\) | −1.59449e8 | −0.904754 | −0.452377 | − | 0.891827i | \(-0.649424\pi\) | ||||
−0.452377 | + | 0.891827i | \(0.649424\pi\) | |||||||
\(228\) | 2.50594e7 | + | 1.68315e7i | 0.140023 | + | 0.0940483i | ||||
\(229\) | 1.76520e8 | 0.971338 | 0.485669 | − | 0.874143i | \(-0.338576\pi\) | ||||
0.485669 | + | 0.874143i | \(0.338576\pi\) | |||||||
\(230\) | 1.91082e7 | − | 1.08368e8i | 0.103555 | − | 0.587291i | ||||
\(231\) | −3.57450e7 | − | 2.99936e7i | −0.190798 | − | 0.160098i | ||||
\(232\) | −8.69348e7 | − | 3.16417e7i | −0.457073 | − | 0.166361i | ||||
\(233\) | 9.59854e7 | − | 3.49358e7i | 0.497118 | − | 0.180936i | −0.0812792 | − | 0.996691i | \(-0.525901\pi\) |
0.578397 | + | 0.815755i | \(0.303678\pi\) | |||||||
\(234\) | 4.40278e7 | − | 3.69437e7i | 0.224632 | − | 0.188489i | ||||
\(235\) | 8.99949e7 | + | 1.55876e8i | 0.452356 | + | 0.783504i | ||||
\(236\) | −6.62555e7 | + | 1.14758e8i | −0.328118 | + | 0.568317i | ||||
\(237\) | −3.87768e6 | − | 2.19914e7i | −0.0189214 | − | 0.107308i | ||||
\(238\) | 2.27813e7 | + | 1.29199e8i | 0.109537 | + | 0.621213i | ||||
\(239\) | −1.06954e8 | + | 1.85249e8i | −0.506760 | + | 0.877735i | 0.493209 | + | 0.869911i | \(0.335824\pi\) |
−0.999969 | + | 0.00782387i | \(0.997510\pi\) | |||||||
\(240\) | 1.05698e7 | + | 1.83075e7i | 0.0493547 | + | 0.0854849i | ||||
\(241\) | 2.08157e7 | − | 1.74664e7i | 0.0957923 | − | 0.0803792i | −0.593634 | − | 0.804735i | \(-0.702307\pi\) |
0.689426 | + | 0.724356i | \(0.257863\pi\) | |||||||
\(242\) | −6.31333e7 | + | 2.29786e7i | −0.286355 | + | 0.104225i | ||||
\(243\) | 1.81361e8 | + | 6.60100e7i | 0.810816 | + | 0.295113i | ||||
\(244\) | 1.15694e8 | + | 9.70789e7i | 0.509855 | + | 0.427819i | ||||
\(245\) | −1.96862e6 | + | 1.11646e7i | −0.00855225 | + | 0.0485022i | ||||
\(246\) | −5.94060e7 | −0.254424 | ||||||||
\(247\) | 4.48789e7 | − | 1.01333e8i | 0.189497 | − | 0.427869i | ||||
\(248\) | −9.20565e6 | −0.0383242 | ||||||||
\(249\) | 2.63247e6 | − | 1.49295e7i | 0.0108060 | − | 0.0612839i | ||||
\(250\) | 9.86978e7 | + | 8.28173e7i | 0.399501 | + | 0.335221i | ||||
\(251\) | −2.19219e8 | − | 7.97893e7i | −0.875026 | − | 0.318483i | −0.134825 | − | 0.990869i | \(-0.543047\pi\) |
−0.740201 | + | 0.672386i | \(0.765269\pi\) | |||||||
\(252\) | −1.03526e8 | + | 3.76806e7i | −0.407521 | + | 0.148325i | ||||
\(253\) | 1.07258e8 | − | 8.99999e7i | 0.416396 | − | 0.349398i | ||||
\(254\) | 4.30241e7 | + | 7.45199e7i | 0.164738 | + | 0.285335i | ||||
\(255\) | 4.76451e7 | − | 8.25238e7i | 0.179940 | − | 0.311665i | ||||
\(256\) | 2.91333e6 | + | 1.65223e7i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | −3.26979e7 | − | 1.85439e8i | −0.120158 | − | 0.681452i | −0.984066 | − | 0.177802i | \(-0.943101\pi\) |
0.863908 | − | 0.503650i | \(-0.168010\pi\) | |||||||
\(258\) | −4.38725e7 | + | 7.59894e7i | −0.159046 | + | 0.275476i | ||||
\(259\) | −9.34593e6 | − | 1.61876e7i | −0.0334252 | − | 0.0578941i | ||||
\(260\) | 5.94527e7 | − | 4.98867e7i | 0.209780 | − | 0.176027i | ||||
\(261\) | −3.29080e8 | + | 1.19775e8i | −1.14567 | + | 0.416990i | ||||
\(262\) | 2.90102e8 | + | 1.05589e8i | 0.996544 | + | 0.362712i | ||||
\(263\) | 2.51770e8 | + | 2.11260e8i | 0.853413 | + | 0.716098i | 0.960538 | − | 0.278147i | \(-0.0897204\pi\) |
−0.107126 | + | 0.994245i | \(0.534165\pi\) | |||||||
\(264\) | −4.67082e6 | + | 2.64895e7i | −0.0156235 | + | 0.0886055i | ||||
\(265\) | −6.48288e8 | −2.13997 | ||||||||
\(266\) | −1.47274e8 | + | 1.53105e8i | −0.479777 | + | 0.498773i | ||||
\(267\) | 4.07031e7 | 0.130869 | ||||||||
\(268\) | −2.34519e7 | + | 1.33003e8i | −0.0744230 | + | 0.422074i | ||||
\(269\) | 652013. | + | 547104.i | 0.00204232 | + | 0.00171371i | 0.643808 | − | 0.765187i | \(-0.277353\pi\) |
−0.641766 | + | 0.766901i | \(0.721798\pi\) | |||||||
\(270\) | 1.60048e8 | + | 5.82526e7i | 0.494853 | + | 0.180112i | ||||
\(271\) | −3.44663e8 | + | 1.25447e8i | −1.05197 | + | 0.382884i | −0.809404 | − | 0.587252i | \(-0.800210\pi\) |
−0.242561 | + | 0.970136i | \(0.577988\pi\) | |||||||
\(272\) | 5.79328e7 | − | 4.86114e7i | 0.174555 | − | 0.146469i | ||||
\(273\) | −2.59710e7 | − | 4.49831e7i | −0.0772538 | − | 0.133808i | ||||
\(274\) | 7.88071e6 | − | 1.36498e7i | 0.0231440 | − | 0.0400866i | ||||
\(275\) | −1.67085e7 | − | 9.47586e7i | −0.0484477 | − | 0.274761i | ||||
\(276\) | 7.37197e6 | + | 4.18085e7i | 0.0211058 | + | 0.119697i | ||||
\(277\) | −2.11762e8 | + | 3.66782e8i | −0.598643 | + | 1.03688i | 0.394379 | + | 0.918948i | \(0.370960\pi\) |
−0.993022 | + | 0.117932i | \(0.962373\pi\) | |||||||
\(278\) | 1.15265e8 | + | 1.99646e8i | 0.321767 | + | 0.557318i | ||||
\(279\) | −2.66942e7 | + | 2.23991e7i | −0.0735871 | + | 0.0617469i | ||||
\(280\) | −1.39796e8 | + | 5.08817e7i | −0.380577 | + | 0.138519i | ||||
\(281\) | −1.86366e8 | − | 6.78318e7i | −0.501066 | − | 0.182373i | 0.0791072 | − | 0.996866i | \(-0.474793\pi\) |
−0.580174 | + | 0.814493i | \(0.697015\pi\) | |||||||
\(282\) | −5.31944e7 | − | 4.46354e7i | −0.141252 | − | 0.118524i | ||||
\(283\) | 9.64686e7 | − | 5.47101e8i | 0.253008 | − | 1.43488i | −0.548128 | − | 0.836395i | \(-0.684659\pi\) |
0.801136 | − | 0.598483i | \(-0.204230\pi\) | |||||||
\(284\) | −2.53862e8 | −0.657634 | ||||||||
\(285\) | 1.53426e8 | − | 1.64294e7i | 0.392593 | − | 0.0420401i | ||||
\(286\) | 9.87512e7 | 0.249610 | ||||||||
\(287\) | 7.25960e7 | − | 4.11712e8i | 0.181270 | − | 1.02803i | ||||
\(288\) | 4.86499e7 | + | 4.08221e7i | 0.120007 | + | 0.100698i | ||||
\(289\) | 6.52558e7 | + | 2.37512e7i | 0.159029 | + | 0.0578818i | ||||
\(290\) | −4.44371e8 | + | 1.61738e8i | −1.06992 | + | 0.389420i | ||||
\(291\) | 8.65055e7 | − | 7.25868e7i | 0.205787 | − | 0.172676i | ||||
\(292\) | −1.22739e8 | − | 2.12590e8i | −0.288498 | − | 0.499694i | ||||
\(293\) | 1.06099e8 | − | 1.83769e8i | 0.246419 | − | 0.426810i | −0.716111 | − | 0.697987i | \(-0.754079\pi\) |
0.962530 | + | 0.271177i | \(0.0874128\pi\) | |||||||
\(294\) | −759496. | − | 4.30732e6i | −0.00174305 | − | 0.00988533i | ||||
\(295\) | 1.17618e8 | + | 6.67046e8i | 0.266746 | + | 1.51279i | ||||
\(296\) | −5.38747e6 | + | 9.33137e6i | −0.0120743 | + | 0.0209134i | ||||
\(297\) | 1.08357e8 | + | 1.87680e8i | 0.240000 | + | 0.415692i | ||||
\(298\) | 3.23356e8 | − | 2.71328e8i | 0.707823 | − | 0.593934i | ||||
\(299\) | 1.46460e8 | − | 5.33070e7i | 0.316861 | − | 0.115328i | ||||
\(300\) | 2.74152e7 | + | 9.97833e6i | 0.0586229 | + | 0.0213370i | ||||
\(301\) | −4.73030e8 | − | 3.96919e8i | −0.999783 | − | 0.838917i | ||||
\(302\) | 5.17262e7 | − | 2.93354e8i | 0.108065 | − | 0.612869i | ||||
\(303\) | −1.90642e8 | −0.393703 | ||||||||
\(304\) | 1.18881e8 | + | 2.93934e7i | 0.242692 | + | 0.0600057i | ||||
\(305\) | 7.71986e8 | 1.55797 | ||||||||
\(306\) | 4.97105e7 | − | 2.81922e8i | 0.0991798 | − | 0.562477i | ||||
\(307\) | −3.95993e7 | − | 3.32278e7i | −0.0781094 | − | 0.0655416i | 0.602897 | − | 0.797819i | \(-0.294013\pi\) |
−0.681006 | + | 0.732277i | \(0.738457\pi\) | |||||||
\(308\) | −1.77877e8 | − | 6.47421e7i | −0.346891 | − | 0.126258i | ||||
\(309\) | −4.92289e6 | + | 1.79178e6i | −0.00949216 | + | 0.00345487i | ||||
\(310\) | −3.60463e7 | + | 3.02464e7i | −0.0687218 | + | 0.0576645i | ||||
\(311\) | 5.12212e8 | + | 8.87178e8i | 0.965581 | + | 1.67244i | 0.708045 | + | 0.706167i | \(0.249577\pi\) |
0.257536 | + | 0.966269i | \(0.417090\pi\) | |||||||
\(312\) | −1.49710e7 | + | 2.59306e7i | −0.0279068 | + | 0.0483360i | ||||
\(313\) | −9.63895e7 | − | 5.46652e8i | −0.177674 | − | 1.00764i | −0.935012 | − | 0.354617i | \(-0.884611\pi\) |
0.757337 | − | 0.653024i | \(-0.226500\pi\) | |||||||
\(314\) | 7.71979e6 | + | 4.37811e7i | 0.0140719 | + | 0.0798055i | ||||
\(315\) | −2.81571e8 | + | 4.87695e8i | −0.507576 | + | 0.879147i | ||||
\(316\) | −4.52945e7 | − | 7.84523e7i | −0.0807496 | − | 0.139862i | ||||
\(317\) | 5.83636e8 | − | 4.89729e8i | 1.02905 | − | 0.863472i | 0.0383086 | − | 0.999266i | \(-0.487803\pi\) |
0.990737 | + | 0.135794i | \(0.0433586\pi\) | |||||||
\(318\) | 2.35027e8 | − | 8.55428e7i | 0.409848 | − | 0.149172i | ||||
\(319\) | −5.65419e8 | − | 2.05796e8i | −0.975222 | − | 0.354952i | ||||
\(320\) | 6.56940e7 | + | 5.51239e7i | 0.112073 | + | 0.0940404i | ||||
\(321\) | −2.49326e7 | + | 1.41400e8i | −0.0420727 | + | 0.238606i | ||||
\(322\) | −2.98762e8 | −0.498689 | ||||||||
\(323\) | −1.53193e8 | − | 5.30328e8i | −0.252947 | − | 0.875661i | ||||
\(324\) | 2.05564e8 | 0.335768 | ||||||||
\(325\) | 1.85993e7 | − | 1.05482e8i | 0.0300541 | − | 0.170445i | ||||
\(326\) | 6.04484e8 | + | 5.07222e8i | 0.966324 | + | 0.810842i | ||||
\(327\) | −2.57292e7 | − | 9.36467e6i | −0.0406920 | − | 0.0148107i | ||||
\(328\) | −2.26459e8 | + | 8.24245e7i | −0.354349 | + | 0.128973i | ||||
\(329\) | 3.74350e8 | − | 3.14117e8i | 0.579551 | − | 0.486301i | ||||
\(330\) | 6.87457e7 | + | 1.19071e8i | 0.105304 | + | 0.182393i | ||||
\(331\) | −3.96007e8 | + | 6.85904e8i | −0.600212 | + | 1.03960i | 0.392576 | + | 0.919719i | \(0.371584\pi\) |
−0.992789 | + | 0.119878i | \(0.961750\pi\) | |||||||
\(332\) | −1.06792e7 | − | 6.05645e7i | −0.0160160 | − | 0.0908312i | ||||
\(333\) | 7.08260e6 | + | 4.01674e7i | 0.0105109 | + | 0.0596100i | ||||
\(334\) | 2.15614e8 | − | 3.73454e8i | 0.316639 | − | 0.548434i | ||||
\(335\) | 3.45168e8 | + | 5.97849e8i | 0.501619 | + | 0.868829i | ||||
\(336\) | 4.39671e7 | − | 3.68928e7i | 0.0632325 | − | 0.0530584i | ||||
\(337\) | 1.16718e9 | − | 4.24819e8i | 1.66124 | − | 0.604643i | 0.670687 | − | 0.741741i | \(-0.266000\pi\) |
0.990558 | + | 0.137097i | \(0.0437774\pi\) | |||||||
\(338\) | −3.68418e8 | − | 1.34093e8i | −0.518958 | − | 0.188885i | ||||
\(339\) | 2.97576e8 | + | 2.49696e8i | 0.414858 | + | 0.348107i | ||||
\(340\) | 6.71263e7 | − | 3.80692e8i | 0.0926225 | − | 0.525288i | ||||
\(341\) | −5.98731e7 | −0.0817695 | ||||||||
\(342\) | 4.16246e8 | − | 2.04026e8i | 0.562676 | − | 0.275800i | ||||
\(343\) | 7.62246e8 | 1.01992 | ||||||||
\(344\) | −6.18111e7 | + | 3.50548e8i | −0.0818676 | + | 0.464294i | ||||
\(345\) | 1.66234e8 | + | 1.39487e8i | 0.217948 | + | 0.182880i | ||||
\(346\) | −5.97087e8 | − | 2.17322e8i | −0.774946 | − | 0.282057i | ||||
\(347\) | 8.66442e8 | − | 3.15359e8i | 1.11323 | − | 0.405184i | 0.281055 | − | 0.959692i | \(-0.409316\pi\) |
0.832179 | + | 0.554507i | \(0.187093\pi\) | |||||||
\(348\) | 1.39758e8 | − | 1.17271e8i | 0.177767 | − | 0.149164i | ||||
\(349\) | −3.63870e8 | − | 6.30241e8i | −0.458202 | − | 0.793629i | 0.540664 | − | 0.841239i | \(-0.318173\pi\) |
−0.998866 | + | 0.0476094i | \(0.984840\pi\) | |||||||
\(350\) | −1.02657e8 | + | 1.77807e8i | −0.127982 | + | 0.221672i | ||||
\(351\) | 4.18906e7 | + | 2.37574e8i | 0.0517061 | + | 0.293240i | ||||
\(352\) | 1.89482e7 | + | 1.07460e8i | 0.0231562 | + | 0.131326i | ||||
\(353\) | −6.27059e8 | + | 1.08610e9i | −0.758746 | + | 1.31419i | 0.184744 | + | 0.982787i | \(0.440855\pi\) |
−0.943490 | + | 0.331401i | \(0.892479\pi\) | |||||||
\(354\) | −1.30659e8 | − | 2.26307e8i | −0.156540 | − | 0.271136i | ||||
\(355\) | −9.94041e8 | + | 8.34100e8i | −1.17925 | + | 0.989507i | ||||
\(356\) | 1.55163e8 | − | 5.64746e7i | 0.182269 | − | 0.0663404i | ||||
\(357\) | −2.43114e8 | − | 8.84863e7i | −0.282795 | − | 0.102929i | ||||
\(358\) | −8.80557e8 | − | 7.38875e8i | −1.01430 | − | 0.851099i | ||||
\(359\) | 1.97983e8 | − | 1.12282e9i | 0.225838 | − | 1.28079i | −0.635238 | − | 0.772317i | \(-0.719098\pi\) |
0.861076 | − | 0.508476i | \(-0.169791\pi\) | |||||||
\(360\) | 3.24623e8 | 0.366709 | ||||||||
\(361\) | 5.47562e8 | − | 7.06529e8i | 0.612573 | − | 0.790414i | ||||
\(362\) | −5.74601e8 | −0.636629 | ||||||||
\(363\) | 2.30069e7 | − | 1.30479e8i | 0.0252456 | − | 0.143175i | ||||
\(364\) | −1.61416e8 | − | 1.35444e8i | −0.175425 | − | 0.147199i | ||||
\(365\) | −1.17910e9 | − | 4.29158e8i | −1.26919 | − | 0.461947i | ||||
\(366\) | −2.79872e8 | + | 1.01865e8i | −0.298384 | + | 0.108603i | ||||
\(367\) | −9.48312e8 | + | 7.95728e8i | −1.00143 | + | 0.840298i | −0.987182 | − | 0.159600i | \(-0.948979\pi\) |
−0.0142467 | + | 0.999899i | \(0.504535\pi\) | |||||||
\(368\) | 8.61107e7 | + | 1.49148e8i | 0.0900720 | + | 0.156009i | ||||
\(369\) | −4.56123e8 | + | 7.90029e8i | −0.472596 | + | 0.818560i | ||||
\(370\) | 9.56395e6 | + | 5.42398e7i | 0.00981592 | + | 0.0556689i | ||||
\(371\) | 3.05643e8 | + | 1.73338e9i | 0.310746 | + | 1.76233i | ||||
\(372\) | 9.07696e6 | − | 1.57218e7i | 0.00914198 | − | 0.0158344i | ||||
\(373\) | 5.77844e8 | + | 1.00085e9i | 0.576540 | + | 0.998597i | 0.995872 | + | 0.0907639i | \(0.0289309\pi\) |
−0.419332 | + | 0.907833i | \(0.637736\pi\) | |||||||
\(374\) | 3.76792e8 | − | 3.16166e8i | 0.372435 | − | 0.312510i | ||||
\(375\) | −2.38757e8 | + | 8.69003e7i | −0.233801 | + | 0.0850965i | ||||
\(376\) | −2.64711e8 | − | 9.63468e7i | −0.256811 | − | 0.0934717i | ||||
\(377\) | −5.13094e8 | − | 4.30537e8i | −0.493176 | − | 0.413824i | ||||
\(378\) | 8.02989e7 | − | 4.55397e8i | 0.0764695 | − | 0.433680i | ||||
\(379\) | −9.02835e8 | −0.851866 | −0.425933 | − | 0.904755i | \(-0.640054\pi\) | ||||
−0.425933 | + | 0.904755i | \(0.640054\pi\) | |||||||
\(380\) | 5.62075e8 | − | 2.75505e8i | 0.525475 | − | 0.257565i | ||||
\(381\) | −1.69691e8 | −0.157188 | ||||||||
\(382\) | −3.71070e7 | + | 2.10444e8i | −0.0340591 | + | 0.193159i | ||||
\(383\) | 5.82622e8 | + | 4.88878e8i | 0.529897 | + | 0.444636i | 0.868066 | − | 0.496449i | \(-0.165363\pi\) |
−0.338169 | + | 0.941085i | \(0.609807\pi\) | |||||||
\(384\) | −3.10901e7 | − | 1.13159e7i | −0.0280196 | − | 0.0101983i | ||||
\(385\) | −9.09228e8 | + | 3.30932e8i | −0.812008 | + | 0.295547i | ||||
\(386\) | −9.66415e8 | + | 8.10918e8i | −0.855279 | + | 0.717665i | ||||
\(387\) | 6.73712e8 | + | 1.16690e9i | 0.590862 | + | 1.02340i | ||||
\(388\) | 2.29052e8 | − | 3.96730e8i | 0.199078 | − | 0.344813i | ||||
\(389\) | −3.90003e8 | − | 2.21182e9i | −0.335927 | − | 1.90513i | −0.417887 | − | 0.908499i | \(-0.637229\pi\) |
0.0819603 | − | 0.996636i | \(-0.473882\pi\) | |||||||
\(390\) | 2.65769e7 | + | 1.50725e8i | 0.0226870 | + | 0.128665i | ||||
\(391\) | 3.88157e8 | − | 6.72308e8i | 0.328389 | − | 0.568787i | ||||
\(392\) | −8.87154e6 | − | 1.53660e7i | −0.00743872 | − | 0.0128842i | ||||
\(393\) | −4.66375e8 | + | 3.91335e8i | −0.387580 | + | 0.325218i | ||||
\(394\) | −4.21219e7 | + | 1.53311e7i | −0.0346953 | + | 0.0126281i | ||||
\(395\) | −4.35124e8 | − | 1.58372e8i | −0.355241 | − | 0.129297i | ||||
\(396\) | 3.16416e8 | + | 2.65505e8i | 0.256051 | + | 0.214852i | ||||
\(397\) | 3.41940e8 | − | 1.93924e9i | 0.274273 | − | 1.55548i | −0.466988 | − | 0.884264i | \(-0.654661\pi\) |
0.741261 | − | 0.671217i | \(-0.234228\pi\) | |||||||
\(398\) | −4.88177e7 | −0.0388139 | ||||||||
\(399\) | −1.16263e8 | − | 4.02484e8i | −0.0916299 | − | 0.317207i | ||||
\(400\) | 1.18353e8 | 0.0924635 | ||||||||
\(401\) | −3.34793e8 | + | 1.89871e9i | −0.259281 | + | 1.47046i | 0.525557 | + | 0.850758i | \(0.323857\pi\) |
−0.784839 | + | 0.619700i | \(0.787254\pi\) | |||||||
\(402\) | −2.04023e8 | − | 1.71195e8i | −0.156635 | − | 0.131432i | ||||
\(403\) | −6.26290e7 | − | 2.27951e7i | −0.0476659 | − | 0.0173490i | ||||
\(404\) | −7.26738e8 | + | 2.64511e8i | −0.548331 | + | 0.199576i | ||||
\(405\) | 8.04919e8 | − | 6.75408e8i | 0.602088 | − | 0.505212i | ||||
\(406\) | 6.41956e8 | + | 1.11190e9i | 0.476063 | + | 0.824565i | ||||
\(407\) | −3.50398e7 | + | 6.06907e7i | −0.0257621 | + | 0.0446213i | ||||
\(408\) | 2.58974e7 | + | 1.46872e8i | 0.0188776 | + | 0.107060i | ||||
\(409\) | 2.05704e8 | + | 1.16660e9i | 0.148666 | + | 0.843124i | 0.964351 | + | 0.264628i | \(0.0852491\pi\) |
−0.815685 | + | 0.578496i | \(0.803640\pi\) | |||||||
\(410\) | −6.15923e8 | + | 1.06681e9i | −0.441350 | + | 0.764441i | ||||
\(411\) | 1.55411e7 | + | 2.69179e7i | 0.0110417 | + | 0.0191247i | ||||
\(412\) | −1.62803e7 | + | 1.36608e7i | −0.0114689 | + | 0.00962355i | ||||
\(413\) | 1.72809e9 | − | 6.28972e8i | 1.20709 | − | 0.439346i | ||||
\(414\) | 6.12606e8 | + | 2.22970e8i | 0.424307 | + | 0.154435i | ||||
\(415\) | −2.40809e8 | − | 2.02063e8i | −0.165388 | − | 0.138777i | ||||
\(416\) | −2.10924e7 | + | 1.19621e8i | −0.0143648 | + | 0.0814667i | ||||
\(417\) | −4.54616e8 | −0.307022 | ||||||||
\(418\) | 7.73196e8 | + | 1.91173e8i | 0.517813 | + | 0.128030i | ||||
\(419\) | 7.78037e8 | 0.516715 | 0.258358 | − | 0.966049i | \(-0.416819\pi\) | ||||
0.258358 | + | 0.966049i | \(0.416819\pi\) | |||||||
\(420\) | 5.09444e7 | − | 2.88920e8i | 0.0335524 | − | 0.190285i | ||||
\(421\) | 1.47337e9 | + | 1.23630e9i | 0.962331 | + | 0.807492i | 0.981331 | − | 0.192328i | \(-0.0616037\pi\) |
−0.0189996 | + | 0.999819i | \(0.506048\pi\) | |||||||
\(422\) | −1.14963e9 | − | 4.18430e8i | −0.744670 | − | 0.271038i | ||||
\(423\) | −1.00203e9 | + | 3.64708e8i | −0.643707 | + | 0.234290i | ||||
\(424\) | 7.77248e8 | − | 6.52189e8i | 0.495198 | − | 0.415521i | ||||
\(425\) | −2.66748e8 | − | 4.62020e8i | −0.168554 | − | 0.291944i | ||||
\(426\) | 2.50314e8 | − | 4.33556e8i | 0.156874 | − | 0.271714i | ||||
\(427\) | −3.63961e8 | − | 2.06413e9i | −0.226234 | − | 1.28304i | ||||
\(428\) | 1.01145e8 | + | 5.73619e8i | 0.0623576 | + | 0.353647i | ||||
\(429\) | −9.73707e7 | + | 1.68651e8i | −0.0595426 | + | 0.103131i | ||||
\(430\) | 9.09743e8 | + | 1.57572e9i | 0.551797 | + | 0.955740i | ||||
\(431\) | 7.57270e8 | − | 6.35425e8i | 0.455596 | − | 0.382291i | −0.385911 | − | 0.922536i | \(-0.626113\pi\) |
0.841508 | + | 0.540245i | \(0.181669\pi\) | |||||||
\(432\) | −2.50488e8 | + | 9.11702e7i | −0.149484 | + | 0.0544076i | ||||
\(433\) | −3.12245e9 | − | 1.13648e9i | −1.84837 | − | 0.672750i | −0.986067 | − | 0.166350i | \(-0.946802\pi\) |
−0.862299 | − | 0.506400i | \(-0.830976\pi\) | |||||||
\(434\) | 9.78670e7 | + | 8.21202e7i | 0.0574675 | + | 0.0482210i | ||||
\(435\) | 1.61937e8 | − | 9.18391e8i | 0.0943265 | − | 0.534952i | ||||
\(436\) | −1.11075e8 | −0.0641818 | ||||||||
\(437\) | 1.24994e9 | − | 1.33847e8i | 0.716480 | − | 0.0767229i | ||||
\(438\) | 4.84094e8 | 0.275277 | ||||||||
\(439\) | 3.67581e8 | − | 2.08465e9i | 0.207361 | − | 1.17600i | −0.686320 | − | 0.727300i | \(-0.740775\pi\) |
0.893681 | − | 0.448703i | \(-0.148114\pi\) | |||||||
\(440\) | 4.27271e8 | + | 3.58523e8i | 0.239122 | + | 0.200647i | ||||
\(441\) | −6.31136e7 | − | 2.29715e7i | −0.0350419 | − | 0.0127542i | ||||
\(442\) | 5.14507e8 | − | 1.87265e8i | 0.283409 | − | 0.103152i | ||||
\(443\) | 1.78535e9 | − | 1.49809e9i | 0.975686 | − | 0.818698i | −0.00774711 | − | 0.999970i | \(-0.502466\pi\) |
0.983433 | + | 0.181272i | \(0.0580216\pi\) | |||||||
\(444\) | −1.06243e7 | − | 1.84018e7i | −0.00576050 | − | 0.00997748i | ||||
\(445\) | 4.22011e8 | − | 7.30944e8i | 0.227020 | − | 0.393210i | ||||
\(446\) | −1.88753e8 | − | 1.07047e9i | −0.100744 | − | 0.571350i | ||||
\(447\) | 1.44549e8 | + | 8.19776e8i | 0.0765486 | + | 0.434129i | ||||
\(448\) | 1.16417e8 | − | 2.01641e8i | 0.0611709 | − | 0.105951i | ||||
\(449\) | 9.95481e8 | + | 1.72422e9i | 0.519004 | + | 0.898941i | 0.999756 | + | 0.0220846i | \(0.00703033\pi\) |
−0.480752 | + | 0.876856i | \(0.659636\pi\) | |||||||
\(450\) | 3.43196e8 | − | 2.87975e8i | 0.177541 | − | 0.148974i | ||||
\(451\) | −1.47288e9 | + | 5.36085e8i | −0.756048 | + | 0.275179i | ||||
\(452\) | 1.48083e9 | + | 5.38977e8i | 0.754258 | + | 0.274527i | ||||
\(453\) | 4.49998e8 | + | 3.77593e8i | 0.227440 | + | 0.190845i | ||||
\(454\) | 2.21504e8 | − | 1.25621e9i | 0.111093 | − | 0.630039i | ||||
\(455\) | −1.07707e9 | −0.536050 | ||||||||
\(456\) | −1.67418e8 | + | 1.74047e8i | −0.0826849 | + | 0.0859587i | ||||
\(457\) | 5.54610e8 | 0.271820 | 0.135910 | − | 0.990721i | \(-0.456604\pi\) | ||||
0.135910 | + | 0.990721i | \(0.456604\pi\) | |||||||
\(458\) | −2.45219e8 | + | 1.39071e9i | −0.119268 | + | 0.676405i | ||||
\(459\) | 9.20461e8 | + | 7.72359e8i | 0.444284 | + | 0.372799i | ||||
\(460\) | 8.27228e8 | + | 3.01086e8i | 0.396253 | + | 0.144224i | ||||
\(461\) | −1.29744e9 | + | 4.72230e8i | −0.616785 | + | 0.224492i | −0.631470 | − | 0.775401i | \(-0.717548\pi\) |
0.0146842 | + | 0.999892i | \(0.495326\pi\) | |||||||
\(462\) | 2.85960e8 | − | 2.39949e8i | 0.134914 | − | 0.113207i | ||||
\(463\) | −6.87130e8 | − | 1.19014e9i | −0.321740 | − | 0.557271i | 0.659107 | − | 0.752049i | \(-0.270934\pi\) |
−0.980847 | + | 0.194779i | \(0.937601\pi\) | |||||||
\(464\) | 3.70056e8 | − | 6.40956e8i | 0.171971 | − | 0.297862i | ||||
\(465\) | −1.61136e7 | − | 9.13849e7i | −0.00743203 | − | 0.0421492i | ||||
\(466\) | 1.41899e8 | + | 8.04750e8i | 0.0649575 | + | 0.368392i | ||||
\(467\) | −3.97045e8 | + | 6.87702e8i | −0.180397 | + | 0.312458i | −0.942016 | − | 0.335568i | \(-0.891072\pi\) |
0.761618 | + | 0.648026i | \(0.224405\pi\) | |||||||
\(468\) | 2.29897e8 | + | 3.98193e8i | 0.103675 | + | 0.179570i | ||||
\(469\) | 1.43579e9 | − | 1.20477e9i | 0.642666 | − | 0.539261i | ||||
\(470\) | −1.35308e9 | + | 4.92481e8i | −0.601148 | + | 0.218800i | ||||
\(471\) | −8.23829e7 | − | 2.99849e7i | −0.0363299 | − | 0.0132230i | ||||
\(472\) | −8.12075e8 | − | 6.81411e8i | −0.355467 | − | 0.298272i | ||||
\(473\) | −4.02016e8 | + | 2.27995e9i | −0.174675 | + | 0.990629i | ||||
\(474\) | 1.78645e8 | 0.0770490 | ||||||||
\(475\) | 3.49830e8 | − | 7.89888e8i | 0.149772 | − | 0.338172i | ||||
\(476\) | −1.04954e9 | −0.446040 | ||||||||
\(477\) | 6.66935e8 | − | 3.78238e9i | 0.281365 | − | 1.59570i | ||||
\(478\) | −1.31090e9 | − | 1.09997e9i | −0.548999 | − | 0.460665i | ||||
\(479\) | −3.18824e9 | − | 1.16042e9i | −1.32549 | − | 0.482438i | −0.420276 | − | 0.907396i | \(-0.638067\pi\) |
−0.905213 | + | 0.424958i | \(0.860289\pi\) | |||||||
\(480\) | −1.58918e8 | + | 5.78415e7i | −0.0655888 | + | 0.0238724i | ||||
\(481\) | −5.97591e7 | + | 5.01438e7i | −0.0244848 | + | 0.0205452i | ||||
\(482\) | 1.08692e8 | + | 1.88259e8i | 0.0442111 | + | 0.0765759i | ||||
\(483\) | 2.94585e8 | − | 5.10237e8i | 0.118959 | − | 0.206043i | ||||
\(484\) | −9.33324e7 | − | 5.29314e8i | −0.0374174 | − | 0.212205i | ||||
\(485\) | −4.06618e8 | − | 2.30604e9i | −0.161842 | − | 0.917849i | ||||
\(486\) | −7.72002e8 | + | 1.33715e9i | −0.305064 | + | 0.528387i | ||||
\(487\) | −5.56677e8 | − | 9.64193e8i | −0.218400 | − | 0.378279i | 0.735919 | − | 0.677069i | \(-0.236750\pi\) |
−0.954319 | + | 0.298790i | \(0.903417\pi\) | |||||||
\(488\) | −9.25553e8 | + | 7.76631e8i | −0.360522 | + | 0.302514i | ||||
\(489\) | −1.46229e9 | + | 5.32229e8i | −0.565525 | + | 0.205834i | ||||
\(490\) | −8.52250e7 | − | 3.10194e7i | −0.0327251 | − | 0.0119110i | ||||
\(491\) | 3.15550e9 | + | 2.64778e9i | 1.20305 | + | 1.00948i | 0.999538 | + | 0.0304061i | \(0.00968006\pi\) |
0.203512 | + | 0.979072i | \(0.434764\pi\) | |||||||
\(492\) | 8.25260e7 | − | 4.68028e8i | 0.0312401 | − | 0.177172i | ||||
\(493\) | −3.33617e9 | −1.25396 | ||||||||
\(494\) | 7.36002e8 | + | 4.94347e8i | 0.274685 | + | 0.184496i | ||||
\(495\) | 2.11133e9 | 0.782418 | ||||||||
\(496\) | 1.27884e7 | − | 7.25264e7i | 0.00470575 | − | 0.0266876i | ||||
\(497\) | 2.69886e9 | + | 2.26461e9i | 0.986127 | + | 0.827459i | ||||
\(498\) | 1.13964e8 | + | 4.14796e7i | 0.0413491 | + | 0.0150498i | ||||
\(499\) | −1.32941e8 | + | 4.83865e7i | −0.0478968 | + | 0.0174330i | −0.365857 | − | 0.930671i | \(-0.619224\pi\) |
0.317961 | + | 0.948104i | \(0.397002\pi\) | |||||||
\(500\) | −7.89582e8 | + | 6.62538e8i | −0.282490 | + | 0.237037i | ||||
\(501\) | 4.25200e8 | + | 7.36467e8i | 0.151064 | + | 0.261650i | ||||
\(502\) | 9.33153e8 | − | 1.61627e9i | 0.329223 | − | 0.570231i | ||||
\(503\) | −1.13592e7 | − | 6.44214e7i | −0.00397980 | − | 0.0225706i | 0.982753 | − | 0.184922i | \(-0.0592033\pi\) |
−0.986733 | + | 0.162351i | \(0.948092\pi\) | |||||||
\(504\) | −1.53047e8 | − | 8.67975e8i | −0.0532499 | − | 0.301995i | ||||
\(505\) | −1.97658e9 | + | 3.42354e9i | −0.682959 | + | 1.18292i | ||||
\(506\) | 5.60060e8 | + | 9.70052e8i | 0.192180 | + | 0.332865i | ||||
\(507\) | 5.92277e8 | − | 4.96979e8i | 0.201835 | − | 0.169360i | ||||
\(508\) | −6.46871e8 | + | 2.35442e8i | −0.218925 | + | 0.0796821i | ||||
\(509\) | 1.75797e9 | + | 6.39847e8i | 0.590878 | + | 0.215062i | 0.620116 | − | 0.784510i | \(-0.287086\pi\) |
−0.0292374 | + | 0.999572i | \(0.509308\pi\) | |||||||
\(510\) | 5.83973e8 | + | 4.90011e8i | 0.194938 | + | 0.163573i | ||||
\(511\) | −5.91577e8 | + | 3.35500e9i | −0.196127 | + | 1.11229i | ||||
\(512\) | −1.34218e8 | −0.0441942 | ||||||||
\(513\) | −1.31928e8 | + | 1.94124e9i | −0.0431445 | + | 0.634845i | ||||
\(514\) | 1.50640e9 | 0.489293 | ||||||||
\(515\) | −1.88639e7 | + | 1.06982e8i | −0.00608562 | + | 0.0345133i | ||||
\(516\) | −5.37733e8 | − | 4.51211e8i | −0.172303 | − | 0.144579i | ||||
\(517\) | −1.72167e9 | − | 6.26635e8i | −0.547939 | − | 0.199433i | ||||
\(518\) | 1.40517e8 | − | 5.11439e7i | 0.0444196 | − | 0.0161674i | ||||
\(519\) | 9.59891e8 | − | 8.05444e8i | 0.301395 | − | 0.252900i | ||||
\(520\) | 3.10440e8 | + | 5.37698e8i | 0.0968201 | + | 0.167697i | ||||
\(521\) | −1.37215e9 | + | 2.37663e9i | −0.425079 | + | 0.736258i | −0.996428 | − | 0.0844493i | \(-0.973087\pi\) |
0.571349 | + | 0.820707i | \(0.306420\pi\) | |||||||
\(522\) | −4.86492e8 | − | 2.75903e9i | −0.149702 | − | 0.849005i | ||||
\(523\) | 6.88014e8 | + | 3.90192e9i | 0.210301 | + | 1.19268i | 0.888877 | + | 0.458146i | \(0.151486\pi\) |
−0.678576 | + | 0.734530i | \(0.737403\pi\) | |||||||
\(524\) | −1.23488e9 | + | 2.13888e9i | −0.374943 | + | 0.649421i | ||||
\(525\) | −2.02444e8 | − | 3.50643e8i | −0.0610586 | − | 0.105757i | ||||
\(526\) | −2.01416e9 | + | 1.69008e9i | −0.603454 | + | 0.506358i | ||||
\(527\) | −3.11947e8 | + | 1.13539e8i | −0.0928418 | + | 0.0337916i | ||||
\(528\) | −2.02208e8 | − | 7.35978e7i | −0.0597833 | − | 0.0217594i | ||||
\(529\) | −1.25397e9 | − | 1.05220e9i | −0.368291 | − | 0.309033i | ||||
\(530\) | 9.00592e8 | − | 5.10751e9i | 0.262762 | − | 1.49020i | ||||
\(531\) | −4.01282e9 | −1.16311 | ||||||||
\(532\) | −1.00164e9 | − | 1.37298e9i | −0.288417 | − | 0.395343i | ||||
\(533\) | −1.74478e9 | −0.499108 | ||||||||
\(534\) | −5.65441e7 | + | 3.20678e8i | −0.0160692 | + | 0.0911328i | ||||
\(535\) | 2.28075e9 | + | 1.91378e9i | 0.643932 | + | 0.540323i | ||||
\(536\) | −1.01528e9 | − | 3.69530e8i | −0.284779 | − | 0.103651i | ||||
\(537\) | 2.13013e9 | − | 7.75302e8i | 0.593602 | − | 0.216053i | ||||
\(538\) | −5.21610e6 | + | 4.37683e6i | −0.00144414 | + | 0.00121177i | ||||
\(539\) | −5.77001e7 | − | 9.99395e7i | −0.0158714 | − | 0.0274901i | ||||
\(540\) | −6.81277e8 | + | 1.18001e9i | −0.186185 | + | 0.322482i | ||||
\(541\) | 6.20405e8 | + | 3.51849e9i | 0.168455 | + | 0.955358i | 0.945430 | + | 0.325826i | \(0.105642\pi\) |
−0.776975 | + | 0.629532i | \(0.783247\pi\) | |||||||
\(542\) | −5.09529e8 | − | 2.88968e9i | −0.137458 | − | 0.779565i | ||||
\(543\) | 5.66568e8 | − | 9.81325e8i | 0.151863 | − | 0.263035i | ||||
\(544\) | 3.02503e8 | + | 5.23951e8i | 0.0805627 | + | 0.139539i | ||||
\(545\) | −4.34931e8 | + | 3.64951e8i | −0.115089 | + | 0.0965710i | ||||
\(546\) | 3.90477e8 | − | 1.42122e8i | 0.102665 | − | 0.0373669i | ||||
\(547\) | 3.11900e8 | + | 1.13522e8i | 0.0814817 | + | 0.0296569i | 0.382439 | − | 0.923981i | \(-0.375084\pi\) |
−0.300958 | + | 0.953637i | \(0.597306\pi\) | |||||||
\(548\) | 9.65915e7 | + | 8.10499e7i | 0.0250730 | + | 0.0210388i | ||||
\(549\) | −7.94192e8 | + | 4.50408e9i | −0.204843 | + | 1.16172i | ||||
\(550\) | 7.69763e8 | 0.197282 | ||||||||
\(551\) | −3.18391e9 | − | 4.36430e9i | −0.810832 | − | 1.11143i | ||||
\(552\) | −3.39628e8 | −0.0859442 | ||||||||
\(553\) | −2.18310e8 | + | 1.23810e9i | −0.0548953 | + | 0.311327i | ||||
\(554\) | −2.59550e9 | − | 2.17788e9i | −0.648540 | − | 0.544190i | ||||
\(555\) | −1.02063e8 | − | 3.71479e7i | −0.0253421 | − | 0.00922378i | ||||
\(556\) | −1.73302e9 | + | 6.30769e8i | −0.427605 | + | 0.155636i | ||||
\(557\) | 3.14856e9 | − | 2.64196e9i | 0.772004 | − | 0.647788i | −0.169217 | − | 0.985579i | \(-0.554124\pi\) |
0.941221 | + | 0.337791i | \(0.109680\pi\) | |||||||
\(558\) | −1.39387e8 | − | 2.41425e8i | −0.0339627 | − | 0.0588252i | ||||
\(559\) | −1.28855e9 | + | 2.23184e9i | −0.312004 | + | 0.540407i | ||||
\(560\) | −2.06667e8 | − | 1.17206e9i | −0.0497293 | − | 0.282029i | ||||
\(561\) | 1.68436e8 | + | 9.55245e8i | 0.0402776 | + | 0.228426i | ||||
\(562\) | 7.93307e8 | − | 1.37405e9i | 0.188523 | − | 0.326531i | ||||
\(563\) | −3.80902e9 | − | 6.59741e9i | −0.899567 | − | 1.55810i | −0.828049 | − | 0.560656i | \(-0.810549\pi\) |
−0.0715181 | − | 0.997439i | \(-0.522784\pi\) | |||||||
\(564\) | 4.25555e8 | − | 3.57083e8i | 0.0998801 | − | 0.0838094i | ||||
\(565\) | 7.56931e9 | − | 2.75500e9i | 1.76558 | − | 0.642618i | ||||
\(566\) | 4.17630e9 | + | 1.52005e9i | 0.968131 | + | 0.352371i | ||||
\(567\) | −2.18539e9 | − | 1.83376e9i | −0.503486 | − | 0.422475i | ||||
\(568\) | 3.52662e8 | − | 2.00004e9i | 0.0807494 | − | 0.457953i | ||||
\(569\) | 2.11391e9 | 0.481054 | 0.240527 | − | 0.970643i | \(-0.422680\pi\) | ||||
0.240527 | + | 0.970643i | \(0.422680\pi\) | |||||||
\(570\) | −8.36995e7 | + | 1.23159e9i | −0.0189305 | + | 0.278550i | ||||
\(571\) | 5.38409e9 | 1.21028 | 0.605140 | − | 0.796119i | \(-0.293117\pi\) | ||||
0.605140 | + | 0.796119i | \(0.293117\pi\) | |||||||
\(572\) | −1.37184e8 | + | 7.78008e8i | −0.0306490 | + | 0.173819i | ||||
\(573\) | −3.22816e8 | − | 2.70875e8i | −0.0716827 | − | 0.0601489i | ||||
\(574\) | 3.14281e9 | + | 1.14389e9i | 0.693628 | + | 0.252460i | ||||
\(575\) | 1.14165e9 | − | 4.15527e8i | 0.250435 | − | 0.0911511i | ||||
\(576\) | −3.89199e8 | + | 3.26577e8i | −0.0848580 | + | 0.0712044i | ||||
\(577\) | 6.94022e8 | + | 1.20208e9i | 0.150403 | + | 0.260506i | 0.931376 | − | 0.364059i | \(-0.118609\pi\) |
−0.780972 | + | 0.624566i | \(0.785276\pi\) | |||||||
\(578\) | −2.77775e8 | + | 4.81120e8i | −0.0598337 | + | 0.103635i | ||||
\(579\) | −4.32012e8 | − | 2.45006e9i | −0.0924956 | − | 0.524568i | ||||
\(580\) | −6.56932e8 | − | 3.72564e9i | −0.139805 | − | 0.792872i | ||||
\(581\) | −4.26741e8 | + | 7.39138e8i | −0.0902710 | + | 0.156354i | ||||
\(582\) | 4.51700e8 | + | 7.82367e8i | 0.0949772 | + | 0.164505i | ||||
\(583\) | 5.05518e9 | − | 4.24180e9i | 1.05657 | − | 0.886565i | ||||
\(584\) | 1.84539e9 | − | 6.71668e8i | 0.383393 | − | 0.139544i | ||||
\(585\) | 2.20852e9 | + | 8.03835e8i | 0.456095 | + | 0.166005i | ||||
\(586\) | 1.30042e9 | + | 1.09118e9i | 0.266958 | + | 0.224004i | ||||
\(587\) | 1.17983e9 | − | 6.69113e9i | 0.240760 | − | 1.36542i | −0.589376 | − | 0.807859i | \(-0.700626\pi\) |
0.830136 | − | 0.557561i | \(-0.188263\pi\) | |||||||
\(588\) | 3.49901e7 | 0.00709782 | ||||||||
\(589\) | −4.46240e8 | − | 2.99724e8i | −0.0899839 | − | 0.0604391i | ||||
\(590\) | −5.41869e9 | −1.08621 | ||||||||
\(591\) | 1.53500e7 | − | 8.70542e7i | 0.00305881 | − | 0.0173474i | ||||
\(592\) | −6.60326e7 | − | 5.54080e7i | −0.0130808 | − | 0.0109761i | ||||
\(593\) | −3.22237e9 | − | 1.17285e9i | −0.634577 | − | 0.230967i | 0.00464534 | − | 0.999989i | \(-0.498521\pi\) |
−0.639222 | + | 0.769022i | \(0.720744\pi\) | |||||||
\(594\) | −1.62916e9 | + | 5.92966e8i | −0.318942 | + | 0.116085i | ||||
\(595\) | −4.10964e9 | + | 3.44840e9i | −0.799825 | + | 0.671133i | ||||
\(596\) | 1.68845e9 | + | 2.92448e9i | 0.326682 | + | 0.565830i | ||||
\(597\) | 4.81353e7 | − | 8.33728e7i | 0.00925877 | − | 0.0160367i | ||||
\(598\) | 2.16517e8 | + | 1.22793e9i | 0.0414037 | + | 0.234812i | ||||
\(599\) | −2.95820e8 | − | 1.67768e9i | −0.0562385 | − | 0.318944i | 0.943691 | − | 0.330829i | \(-0.107328\pi\) |
−0.999929 | + | 0.0118841i | \(0.996217\pi\) | |||||||
\(600\) | −1.16699e8 | + | 2.02128e8i | −0.0220565 | + | 0.0382030i | ||||
\(601\) | 4.72816e9 | + | 8.18941e9i | 0.888447 | + | 1.53883i | 0.841712 | + | 0.539928i | \(0.181548\pi\) |
0.0467352 | + | 0.998907i | \(0.485118\pi\) | |||||||
\(602\) | 3.78424e9 | − | 3.17535e9i | 0.706953 | − | 0.593204i | ||||
\(603\) | −3.84319e9 | + | 1.39881e9i | −0.713808 | + | 0.259805i | ||||
\(604\) | 2.23932e9 | + | 8.15045e8i | 0.413511 | + | 0.150506i | ||||
\(605\) | −2.10459e9 | − | 1.76596e9i | −0.386389 | − | 0.324219i | ||||
\(606\) | 2.64837e8 | − | 1.50196e9i | 0.0483420 | − | 0.274161i | ||||
\(607\) | 2.60268e9 | 0.472346 | 0.236173 | − | 0.971711i | \(-0.424107\pi\) | ||||
0.236173 | + | 0.971711i | \(0.424107\pi\) | |||||||
\(608\) | −3.96723e8 | + | 8.95767e8i | −0.0715854 | + | 0.161634i | ||||
\(609\) | −2.53193e9 | −0.454246 | ||||||||
\(610\) | −1.07243e9 | + | 6.08206e9i | −0.191300 | + | 1.08492i | ||||
\(611\) | −1.56234e9 | − | 1.31096e9i | −0.277096 | − | 0.232511i | ||||
\(612\) | 2.15206e9 | + | 7.83285e8i | 0.379511 | + | 0.138131i | ||||
\(613\) | 3.93227e9 | − | 1.43123e9i | 0.689496 | − | 0.250956i | 0.0265765 | − | 0.999647i | \(-0.491539\pi\) |
0.662919 | + | 0.748691i | \(0.269317\pi\) | |||||||
\(614\) | 3.16795e8 | − | 2.65822e8i | 0.0552317 | − | 0.0463449i | ||||
\(615\) | −1.21463e9 | − | 2.10379e9i | −0.210562 | − | 0.364704i | ||||
\(616\) | 7.57173e8 | − | 1.31146e9i | 0.130516 | − | 0.226060i | ||||
\(617\) | 1.34624e9 | + | 7.63490e9i | 0.230741 | + | 1.30860i | 0.851401 | + | 0.524516i | \(0.175754\pi\) |
−0.620660 | + | 0.784080i | \(0.713135\pi\) | |||||||
\(618\) | −7.27770e6 | − | 4.12739e7i | −0.00124032 | − | 0.00703422i | ||||
\(619\) | 4.81628e9 | − | 8.34205e9i | 0.816197 | − | 1.41369i | −0.0922688 | − | 0.995734i | \(-0.529412\pi\) |
0.908465 | − | 0.417960i | \(-0.137255\pi\) | |||||||
\(620\) | −1.88220e8 | − | 3.26007e8i | −0.0317173 | − | 0.0549359i | ||||
\(621\) | −2.09615e9 | + | 1.75888e9i | −0.351238 | + | 0.294724i | ||||
\(622\) | −7.70116e9 | + | 2.80299e9i | −1.28319 | + | 0.467041i | ||||
\(623\) | −2.15335e9 | − | 7.83756e8i | −0.356785 | − | 0.129859i | ||||
\(624\) | −1.83495e8 | − | 1.53971e8i | −0.0302329 | − | 0.0253684i | ||||
\(625\) | −1.30688e9 | + | 7.41168e9i | −0.214119 | + | 1.21433i | ||||
\(626\) | 4.44068e9 | 0.723501 | ||||||||
\(627\) | −1.08888e9 | + | 1.13199e9i | −0.176418 | + | 0.183403i | ||||
\(628\) | −3.55652e8 | −0.0573016 | ||||||||
\(629\) | −6.74723e7 | + | 3.82654e8i | −0.0108106 | + | 0.0613097i | ||||
\(630\) | −3.45113e9 | − | 2.89584e9i | −0.549882 | − | 0.461406i | ||||
\(631\) | 9.30611e9 | + | 3.38715e9i | 1.47457 | + | 0.536700i | 0.949337 | − | 0.314259i | \(-0.101756\pi\) |
0.525233 | + | 0.850959i | \(0.323978\pi\) | |||||||
\(632\) | 6.81006e8 | − | 2.47866e8i | 0.107310 | − | 0.0390577i | ||||
\(633\) | 1.84817e9 | − | 1.55080e9i | 0.289620 | − | 0.243020i | ||||
\(634\) | 3.04753e9 | + | 5.27848e9i | 0.474937 | + | 0.822614i | ||||
\(635\) | −1.75936e9 | + | 3.04730e9i | −0.272675 | + | 0.472288i | ||||
\(636\) | 3.47450e8 | + | 1.97049e9i | 0.0535540 | + | 0.303720i | ||||
\(637\) | −2.23067e7 | − | 1.26507e8i | −0.00341938 | − | 0.0193922i | ||||
\(638\) | 2.40683e9 | − | 4.16875e9i | 0.366921 | − | 0.635526i | ||||
\(639\) | −3.84385e9 | − | 6.65774e9i | −0.582791 | − | 1.00942i | ||||
\(640\) | −5.25552e8 | + | 4.40991e8i | −0.0792476 | + | 0.0664966i | ||||
\(641\) | 2.87055e9 | − | 1.04479e9i | 0.430489 | − | 0.156685i | −0.117682 | − | 0.993051i | \(-0.537546\pi\) |
0.548171 | + | 0.836366i | \(0.315324\pi\) | |||||||
\(642\) | −1.07938e9 | − | 3.92862e8i | −0.160991 | − | 0.0585959i | ||||
\(643\) | −3.47114e9 | − | 2.91263e9i | −0.514913 | − | 0.432063i | 0.347941 | − | 0.937516i | \(-0.386881\pi\) |
−0.862854 | + | 0.505453i | \(0.831325\pi\) | |||||||
\(644\) | 4.15036e8 | − | 2.35378e9i | 0.0612329 | − | 0.347269i | ||||
\(645\) | −3.58810e9 | −0.526509 | ||||||||
\(646\) | 4.39099e9 | − | 4.70200e8i | 0.640838 | − | 0.0686229i | ||||
\(647\) | 5.51628e9 | 0.800721 | 0.400360 | − | 0.916358i | \(-0.368885\pi\) | ||||
0.400360 | + | 0.916358i | \(0.368885\pi\) | |||||||
\(648\) | −2.85566e8 | + | 1.61953e9i | −0.0412282 | + | 0.233817i | ||||
\(649\) | −5.28169e9 | − | 4.43187e9i | −0.758432 | − | 0.636400i | ||||
\(650\) | 8.05195e8 | + | 2.93067e8i | 0.115002 | + | 0.0418572i | ||||
\(651\) | −2.36747e8 | + | 8.61688e7i | −0.0336319 | + | 0.0122410i | ||||
\(652\) | −4.83587e9 | + | 4.05778e9i | −0.683294 | + | 0.573352i | ||||
\(653\) | −3.59405e9 | − | 6.22507e9i | −0.505112 | − | 0.874880i | −0.999983 | − | 0.00591283i | \(-0.998118\pi\) |
0.494871 | − | 0.868967i | \(-0.335215\pi\) | |||||||
\(654\) | 1.09522e8 | − | 1.89697e8i | 0.0153101 | − | 0.0265179i | ||||
\(655\) | 2.19219e9 | + | 1.24325e10i | 0.304813 | + | 1.72868i | ||||
\(656\) | −3.34784e8 | − | 1.89865e9i | −0.0463022 | − | 0.262593i | ||||
\(657\) | 3.71690e9 | − | 6.43786e9i | 0.511331 | − | 0.885652i | ||||
\(658\) | 1.95472e9 | + | 3.38567e9i | 0.267481 | + | 0.463291i | ||||
\(659\) | −4.11729e9 | + | 3.45481e9i | −0.560418 | + | 0.470247i | −0.878451 | − | 0.477833i | \(-0.841422\pi\) |
0.318032 | + | 0.948080i | \(0.396978\pi\) | |||||||
\(660\) | −1.03360e9 | + | 3.76198e8i | −0.139942 | + | 0.0509346i | ||||
\(661\) | −1.22342e10 | − | 4.45288e9i | −1.64767 | − | 0.599703i | −0.659315 | − | 0.751867i | \(-0.729154\pi\) |
−0.988355 | + | 0.152164i | \(0.951376\pi\) | |||||||
\(662\) | −4.85374e9 | − | 4.07277e9i | −0.650240 | − | 0.545616i | ||||
\(663\) | −1.87496e8 | + | 1.06334e9i | −0.0249859 | + | 0.141702i | ||||
\(664\) | 4.91991e8 | 0.0652182 | ||||||||
\(665\) | −8.43321e9 | − | 2.08511e9i | −1.11203 | − | 0.274950i | ||||
\(666\) | −3.26297e8 | −0.0428009 | ||||||||
\(667\) | 1.31927e9 | − | 7.48198e9i | 0.172145 | − | 0.976284i | ||||
\(668\) | 2.64272e9 | + | 2.21750e9i | 0.343031 | + | 0.287837i | ||||
\(669\) | 2.01430e9 | + | 7.33146e8i | 0.260096 | + | 0.0946671i | ||||
\(670\) | −5.18963e9 | + | 1.88887e9i | −0.666614 | + | 0.242628i | ||||
\(671\) | −6.01975e9 | + | 5.05117e9i | −0.769218 | + | 0.645451i | ||||
\(672\) | 2.29580e8 | + | 3.97644e8i | 0.0291838 | + | 0.0505478i | ||||
\(673\) | −2.79931e9 | + | 4.84855e9i | −0.353996 | + | 0.613139i | −0.986946 | − | 0.161054i | \(-0.948511\pi\) |
0.632950 | + | 0.774193i | \(0.281844\pi\) | |||||||
\(674\) | 1.72549e9 | + | 9.78574e9i | 0.217072 | + | 1.23107i | ||||
\(675\) | 3.26536e8 | + | 1.85188e9i | 0.0408666 | + | 0.231766i | ||||
\(676\) | 1.56825e9 | − | 2.71629e9i | 0.195255 | − | 0.338191i | ||||
\(677\) | −3.75300e9 | − | 6.50039e9i | −0.464856 | − | 0.805155i | 0.534339 | − | 0.845270i | \(-0.320561\pi\) |
−0.999195 | + | 0.0401157i | \(0.987227\pi\) | |||||||
\(678\) | −2.38061e9 | + | 1.99757e9i | −0.293349 | + | 0.246149i | ||||
\(679\) | −5.97417e9 | + | 2.17442e9i | −0.732375 | + | 0.266563i | ||||
\(680\) | 2.90602e9 | + | 1.05770e9i | 0.354419 | + | 0.128998i | ||||
\(681\) | 1.92700e9 | + | 1.61694e9i | 0.233812 | + | 0.196191i | ||||
\(682\) | 8.31748e7 | − | 4.71708e8i | 0.0100403 | − | 0.0569414i | ||||
\(683\) | −3.94621e7 | −0.00473923 | −0.00236962 | − | 0.999997i | \(-0.500754\pi\) | ||||
−0.00236962 | + | 0.999997i | \(0.500754\pi\) | |||||||
\(684\) | 1.02917e9 | + | 3.56281e9i | 0.122967 | + | 0.425693i | ||||
\(685\) | 6.44521e8 | 0.0766161 | ||||||||
\(686\) | −1.05890e9 | + | 6.00532e9i | −0.125234 | + | 0.710235i | ||||
\(687\) | −2.13331e9 | − | 1.79006e9i | −0.251019 | − | 0.210630i | ||||
\(688\) | −2.67591e9 | − | 9.73953e8i | −0.313266 | − | 0.114019i | ||||
\(689\) | 6.90282e9 | − | 2.51242e9i | 0.804007 | − | 0.292634i | ||||
\(690\) | −1.32987e9 | + | 1.11589e9i | −0.154112 | + | 0.129316i | ||||
\(691\) | −3.24409e9 | − | 5.61892e9i | −0.374041 | − | 0.647858i | 0.616142 | − | 0.787635i | \(-0.288695\pi\) |
−0.990183 | + | 0.139777i | \(0.955361\pi\) | |||||||
\(692\) | 2.54163e9 | − | 4.40223e9i | 0.291568 | − | 0.505011i | ||||
\(693\) | −9.95412e8 | − | 5.64526e9i | −0.113615 | − | 0.644344i | ||||
\(694\) | 1.28090e9 | + | 7.26433e9i | 0.145464 | + | 0.824968i | ||||
\(695\) | −4.71347e9 | + | 8.16398e9i | −0.532592 | + | 0.922476i | ||||
\(696\) | 7.29766e8 | + | 1.26399e9i | 0.0820449 | + | 0.142106i | ||||
\(697\) | −6.65731e9 | + | 5.58615e9i | −0.744705 | + | 0.624881i | ||||
\(698\) | 5.47081e9 | − | 1.99121e9i | 0.608917 | − | 0.221628i | ||||
\(699\) | −1.51430e9 | − | 5.51159e8i | −0.167703 | − | 0.0610390i | ||||
\(700\) | −1.25824e9 | − | 1.05578e9i | −0.138650 | − | 0.116341i | ||||
\(701\) | −1.63630e9 | + | 9.27991e9i | −0.179411 | + | 1.01749i | 0.753517 | + | 0.657429i | \(0.228356\pi\) |
−0.932928 | + | 0.360063i | \(0.882755\pi\) | |||||||
\(702\) | −1.92991e9 | −0.210551 | ||||||||
\(703\) | −5.64972e8 | + | 2.76925e8i | −0.0613315 | + | 0.0300621i | ||||
\(704\) | −8.72945e8 | −0.0942937 | ||||||||
\(705\) | 4.93088e8 | − | 2.79644e9i | 0.0529983 | − | 0.300569i | ||||
\(706\) | −7.68568e9 | − | 6.44905e9i | −0.821988 | − | 0.689730i | ||||
\(707\) | 1.00857e10 | + | 3.67089e9i | 1.07334 | + | 0.390664i | ||||
\(708\) | 1.96446e9 | − | 7.15006e8i | 0.208031 | − | 0.0757170i | ||||
\(709\) | 1.35018e10 | − | 1.13294e10i | 1.42276 | − | 1.19383i | 0.472913 | − | 0.881109i | \(-0.343202\pi\) |
0.949844 | − | 0.312726i | \(-0.101242\pi\) | |||||||
\(710\) | −5.19051e9 | − | 8.99023e9i | −0.544260 | − | 0.942685i | ||||
\(711\) | 1.37165e9 | − | 2.37577e9i | 0.143120 | − | 0.247891i | ||||
\(712\) | 2.29383e8 | + | 1.30090e9i | 0.0238167 | + | 0.135071i | ||||
\(713\) | −1.31275e8 | − | 7.44498e8i | −0.0135634 | − | 0.0769219i | ||||
\(714\) | 1.03487e9 | − | 1.79244e9i | 0.106400 | − | 0.184290i | ||||
\(715\) | 2.01908e9 | + | 3.49716e9i | 0.206578 | + | 0.357803i | ||||
\(716\) | 7.04445e9 | − | 5.91100e9i | 0.717219 | − | 0.601818i | ||||
\(717\) | 3.17115e9 | − | 1.15421e9i | 0.321292 | − | 0.116941i | ||||
\(718\) | 8.57105e9 | + | 3.11961e9i | 0.864168 | + | 0.314532i | ||||
\(719\) | 8.45482e9 | + | 7.09443e9i | 0.848307 | + | 0.711814i | 0.959416 | − | 0.281994i | \(-0.0909958\pi\) |
−0.111109 | + | 0.993808i | \(0.535440\pi\) | |||||||
\(720\) | −4.50962e8 | + | 2.55753e9i | −0.0450274 | + | 0.255363i | ||||
\(721\) | 2.94942e8 | 0.0293064 | ||||||||
\(722\) | 4.80570e9 | + | 5.29544e9i | 0.475200 | + | 0.523627i | ||||
\(723\) | −4.28689e8 | −0.0421850 | ||||||||
\(724\) | 7.98227e8 | − | 4.52697e9i | 0.0781703 | − | 0.443326i | ||||
\(725\) | −3.99956e9 | − | 3.35603e9i | −0.389788 | − | 0.327071i | ||||
\(726\) | 9.96011e8 | + | 3.62518e8i | 0.0966020 | + | 0.0351602i | ||||
\(727\) | 1.44433e10 | − | 5.25692e9i | 1.39410 | − | 0.507412i | 0.467681 | − | 0.883897i | \(-0.345089\pi\) |
0.926423 | + | 0.376485i | \(0.122867\pi\) | |||||||
\(728\) | 1.29133e9 | − | 1.08355e9i | 0.124044 | − | 0.104086i | ||||
\(729\) | 1.98983e9 | + | 3.44648e9i | 0.190226 | + | 0.329481i | ||||
\(730\) | 5.01909e9 | − | 8.69333e9i | 0.477524 | − | 0.827096i | ||||
\(731\) | 2.22898e9 | + | 1.26412e10i | 0.211055 | + | 1.19695i | ||||
\(732\) | −4.13746e8 | − | 2.34647e9i | −0.0389892 | − | 0.221119i | ||||
\(733\) | 7.49580e9 | − | 1.29831e10i | 0.702998 | − | 1.21763i | −0.264411 | − | 0.964410i | \(-0.585178\pi\) |
0.967409 | − | 0.253218i | \(-0.0814891\pi\) | |||||||
\(734\) | −4.95173e9 | − | 8.57665e9i | −0.462190 | − | 0.800537i | ||||
\(735\) | 1.37010e8 | − | 1.14965e8i | 0.0127276 | − | 0.0106797i | ||||
\(736\) | −1.29468e9 | + | 4.71226e8i | −0.119699 | + | 0.0435669i | ||||
\(737\) | −6.60331e9 | − | 2.40341e9i | −0.607611 | − | 0.221152i | ||||
\(738\) | −5.59057e9 | − | 4.69105e9i | −0.511987 | − | 0.429608i | ||||
\(739\) | −3.11976e9 | + | 1.76930e10i | −0.284358 | + | 1.61268i | 0.423211 | + | 0.906031i | \(0.360903\pi\) |
−0.707569 | + | 0.706644i | \(0.750208\pi\) | |||||||
\(740\) | −4.40613e8 | −0.0399711 | ||||||||
\(741\) | −1.56998e9 | + | 7.69536e8i | −0.141752 | + | 0.0694809i | ||||
\(742\) | −1.40810e10 | −1.26538 | ||||||||
\(743\) | −2.99101e9 | + | 1.69629e10i | −0.267521 | + | 1.51718i | 0.494240 | + | 0.869326i | \(0.335446\pi\) |
−0.761760 | + | 0.647859i | \(0.775665\pi\) | |||||||
\(744\) | 1.11254e8 | + | 9.33530e7i | 0.00990397 | + | 0.00831042i | ||||
\(745\) | 1.62202e10 | + | 5.90366e9i | 1.43717 | + | 0.523087i | ||||
\(746\) | −8.68793e9 | + | 3.16215e9i | −0.766179 | + | 0.278866i | ||||
\(747\) | 1.42665e9 | − | 1.19710e9i | 0.125227 | − | 0.105078i | ||||
\(748\) | 1.96747e9 | + | 3.40775e9i | 0.171890 | + | 0.297723i | ||||
\(749\) | 4.04175e9 | − | 7.00052e9i | 0.351466 | − | 0.608757i | ||||
\(750\) | −3.52963e8 | − | 2.00176e9i | −0.0305503 | − | 0.173259i | ||||
\(751\) | −2.51182e9 | − | 1.42453e10i | −0.216396 | − | 1.22724i | −0.878467 | − | 0.477802i | \(-0.841434\pi\) |
0.662071 | − | 0.749441i | \(-0.269678\pi\) | |||||||
\(752\) | 1.12680e9 | − | 1.95167e9i | 0.0966236 | − | 0.167357i | ||||
\(753\) | 1.84022e9 | + | 3.18735e9i | 0.157068 | + | 0.272049i | ||||
\(754\) | 4.10475e9 | − | 3.44430e9i | 0.348728 | − | 0.292618i | ||||
\(755\) | 1.14464e10 | − | 4.16614e9i | 0.967952 | − | 0.352306i | ||||
\(756\) | 3.47628e9 | + | 1.26526e9i | 0.292610 | + | 0.106501i | ||||
\(757\) | 1.14935e10 | + | 9.64415e9i | 0.962975 | + | 0.808032i | 0.981435 | − | 0.191798i | \(-0.0614317\pi\) |
−0.0184594 | + | 0.999830i | \(0.505876\pi\) | |||||||
\(758\) | 1.25421e9 | − | 7.11295e9i | 0.104599 | − | 0.593209i | ||||
\(759\) | −2.20892e9 | −0.183373 | ||||||||
\(760\) | 1.38973e9 | + | 4.81102e9i | 0.114837 | + | 0.397548i | ||||
\(761\) | −9.24120e9 | −0.760119 | −0.380060 | − | 0.924962i | \(-0.624097\pi\) | ||||
−0.380060 | + | 0.924962i | \(0.624097\pi\) | |||||||
\(762\) | 2.35732e8 | − | 1.33690e9i | 0.0193008 | − | 0.109460i | ||||
\(763\) | 1.18085e9 | + | 9.90855e8i | 0.0962411 | + | 0.0807559i | ||||
\(764\) | −1.60643e9 | − | 5.84692e8i | −0.130327 | − | 0.0474351i | ||||
\(765\) | 1.10003e10 | − | 4.00380e9i | 0.888364 | − | 0.323338i | ||||
\(766\) | −4.66098e9 | + | 3.91103e9i | −0.374694 | + | 0.314405i | ||||
\(767\) | −3.83749e9 | − | 6.64673e9i | −0.307088 | − | 0.531893i | ||||
\(768\) | 1.32341e8 | − | 2.29222e8i | 0.0105422 | − | 0.0182596i | ||||
\(769\) | −2.38669e9 | − | 1.35356e10i | −0.189258 | − | 1.07334i | −0.920361 | − | 0.391069i | \(-0.872105\pi\) |
0.731103 | − | 0.682267i | \(-0.239006\pi\) | |||||||
\(770\) | −1.34415e9 | − | 7.62305e9i | −0.106104 | − | 0.601743i | ||||
\(771\) | −1.48534e9 | + | 2.57269e9i | −0.116717 | + | 0.202161i | ||||
\(772\) | −5.04626e9 | − | 8.74038e9i | −0.394738 | − | 0.683706i | ||||
\(773\) | −1.09497e10 | + | 9.18785e9i | −0.852652 | + | 0.715460i | −0.960372 | − | 0.278721i | \(-0.910090\pi\) |
0.107720 | + | 0.994181i | \(0.465645\pi\) | |||||||
\(774\) | −1.01293e10 | + | 3.68677e9i | −0.785212 | + | 0.285794i | ||||
\(775\) | −4.88192e8 | − | 1.77687e8i | −0.0376734 | − | 0.0137120i | ||||
\(776\) | 2.80742e9 | + | 2.35571e9i | 0.215671 | + | 0.180969i | ||||
\(777\) | −5.12069e7 | + | 2.90409e8i | −0.00391611 | + | 0.0222094i | ||||
\(778\) | 1.79675e10 | 1.36792 | ||||||||
\(779\) | −1.36611e10 | − | 3.37773e9i | −1.03540 | − | 0.256002i | ||||
\(780\) | −1.22440e9 | −0.0923831 | ||||||||
\(781\) | 2.29369e9 | − | 1.30082e10i | 0.172289 | − | 0.977098i | ||||
\(782\) | 4.75753e9 | + | 3.99204e9i | 0.355761 | + | 0.298519i | ||||
\(783\) | 1.10501e10 | + | 4.02190e9i | 0.822619 | + | 0.299409i | ||||
\(784\) | 1.33384e8 | − | 4.85480e7i | 0.00988550 | − | 0.00359803i | ||||
\(785\) | −1.39262e9 | + | 1.16854e9i | −0.102751 | + | 0.0862186i | ||||
\(786\) | −2.43524e9 | − | 4.21795e9i | −0.178880 | − | 0.309830i | ||||
\(787\) | −8.32321e9 | + | 1.44162e10i | −0.608666 | + | 1.05424i | 0.382794 | + | 0.923834i | \(0.374962\pi\) |
−0.991460 | + | 0.130408i | \(0.958371\pi\) | |||||||
\(788\) | −6.22705e7 | − | 3.53153e8i | −0.00453357 | − | 0.0257112i | ||||
\(789\) | −9.00381e8 | − | 5.10632e9i | −0.0652615 | − | 0.370116i | ||||
\(790\) | 1.85220e9 | − | 3.20810e9i | 0.133657 | − | 0.231501i | ||||
\(791\) | −1.09349e10 | − | 1.89399e10i | −0.785595 | − | 1.36069i | ||||
\(792\) | −2.53133e9 | + | 2.12404e9i | −0.181055 | + | 0.151923i | ||||
\(793\) | −8.21993e9 | + | 2.99181e9i | −0.585345 | + | 0.213048i | ||||
\(794\) | 1.48032e10 | + | 5.38792e9i | 1.04950 | + | 0.381988i | ||||
\(795\) | 7.83480e9 | + | 6.57418e9i | 0.553023 | + | 0.464041i | ||||
\(796\) | 6.78169e7 | − | 3.84609e8i | 0.00476587 | − | 0.0270286i | ||||
\(797\) | 1.90172e10 | 1.33059 | 0.665294 | − | 0.746582i | \(-0.268306\pi\) | ||||
0.665294 | + | 0.746582i | \(0.268306\pi\) | |||||||
\(798\) | 3.33247e9 | − | 3.56851e8i | 0.232143 | − | 0.0248586i | ||||
\(799\) | −1.01584e10 | −0.704551 | ||||||||
\(800\) | −1.64415e8 | + | 9.32441e8i | −0.0113534 | + | 0.0643883i | ||||
\(801\) | 3.83048e9 | + | 3.21415e9i | 0.263354 | + | 0.220980i | ||||
\(802\) | −1.44938e10 | − | 5.27531e9i | −0.992138 | − | 0.361109i | ||||
\(803\) | 1.20023e10 | − | 4.36850e9i | 0.818016 | − | 0.297733i | ||||
\(804\) | 1.63218e9 | − | 1.36956e9i | 0.110757 | − | 0.0929364i | ||||
\(805\) | −6.10854e9 | − | 1.05803e10i | −0.412716 | − | 0.714846i | ||||
\(806\) | 2.66594e8 | − | 4.61754e8i | 0.0179340 | − | 0.0310626i | ||||
\(807\) | −2.33173e6 | − | 1.32239e7i | −0.000156178 | − | 0.000885732i | ||||
\(808\) | −1.07437e9 | − | 6.09303e9i | −0.0716494 | − | 0.406344i | ||||
\(809\) | −7.25805e9 | + | 1.25713e10i | −0.481948 | + | 0.834759i | −0.999785 | − | 0.0207206i | \(-0.993404\pi\) |
0.517837 | + | 0.855479i | \(0.326737\pi\) | |||||||
\(810\) | 4.20299e9 | + | 7.27979e9i | 0.277882 | + | 0.481306i | ||||
\(811\) | 2.88309e9 | − | 2.41920e9i | 0.189795 | − | 0.159257i | −0.542939 | − | 0.839772i | \(-0.682688\pi\) |
0.732734 | + | 0.680515i | \(0.238244\pi\) | |||||||
\(812\) | −9.65187e9 | + | 3.51299e9i | −0.632653 | + | 0.230267i | ||||
\(813\) | 5.43751e9 | + | 1.97909e9i | 0.354881 | + | 0.129166i | ||||
\(814\) | −4.29473e8 | − | 3.60371e8i | −0.0279094 | − | 0.0234188i | ||||
\(815\) | −5.60329e9 | + | 3.17778e10i | −0.362570 | + | 2.05623i | ||||
\(816\) | −1.19310e9 | −0.0768707 | ||||||||
\(817\) | −1.44097e10 | + | 1.49802e10i | −0.924435 | + | 0.961037i | ||||
\(818\) | −9.47680e9 | −0.605376 | ||||||||
\(819\) | 1.10805e9 | − | 6.28409e9i | 0.0704803 | − | 0.399713i | ||||
\(820\) | −7.54919e9 | − | 6.33453e9i | −0.478137 | − | 0.401204i | ||||
\(821\) | −1.28877e10 | − | 4.69075e9i | −0.812784 | − | 0.295829i | −0.0980108 | − | 0.995185i | \(-0.531248\pi\) |
−0.714773 | + | 0.699356i | \(0.753470\pi\) | |||||||
\(822\) | −2.33661e8 | + | 8.50458e7i | −0.0146736 | + | 0.00534074i | ||||
\(823\) | −9.93824e9 | + | 8.33917e9i | −0.621456 | + | 0.521463i | −0.898261 | − | 0.439463i | \(-0.855169\pi\) |
0.276805 | + | 0.960926i | \(0.410724\pi\) | |||||||
\(824\) | −8.50096e7 | − | 1.47241e8i | −0.00529325 | − | 0.00916819i | ||||
\(825\) | −7.59003e8 | + | 1.31463e9i | −0.0470603 | + | 0.0815108i | ||||
\(826\) | 2.55470e9 | + | 1.44884e10i | 0.157728 | + | 0.894522i | ||||
\(827\) | −4.91050e8 | − | 2.78488e9i | −0.0301895 | − | 0.171213i | 0.965985 | − | 0.258598i | \(-0.0832603\pi\) |
−0.996175 | + | 0.0873842i | \(0.972149\pi\) | |||||||
\(828\) | −2.60768e9 | + | 4.51664e9i | −0.159643 | + | 0.276509i | ||||
\(829\) | −7.91695e9 | − | 1.37126e10i | −0.482633 | − | 0.835945i | 0.517168 | − | 0.855884i | \(-0.326986\pi\) |
−0.999801 | + | 0.0199389i | \(0.993653\pi\) | |||||||
\(830\) | 1.92647e9 | − | 1.61650e9i | 0.116947 | − | 0.0981303i | ||||
\(831\) | 6.27869e9 | − | 2.28526e9i | 0.379547 | − | 0.138144i | ||||
\(832\) | −9.13127e8 | − | 3.32351e8i | −0.0549667 | − | 0.0200062i | ||||
\(833\) | −4.90144e8 | − | 4.11279e8i | −0.0293810 | − | 0.0246536i | ||||
\(834\) | 6.31546e8 | − | 3.58168e9i | 0.0376985 | − | 0.213799i | ||||
\(835\) | 1.76339e10 | 1.04821 | ||||||||
\(836\) | −2.58026e9 | + | 5.82602e9i | −0.152736 | + | 0.344866i | ||||
\(837\) | 1.17011e9 | 0.0689742 | ||||||||
\(838\) | −1.08084e9 | + | 6.12974e9i | −0.0634463 | + | 0.359822i | ||||
\(839\) | 1.44567e9 | + | 1.21306e9i | 0.0845086 | + | 0.0709111i | 0.684063 | − | 0.729423i | \(-0.260211\pi\) |
−0.599555 | + | 0.800334i | \(0.704656\pi\) | |||||||
\(840\) | 2.20547e9 | + | 8.02727e8i | 0.128388 | + | 0.0467294i | ||||
\(841\) | −1.44708e10 | + | 5.26696e9i | −0.838895 | + | 0.305333i | ||||
\(842\) | −1.17870e10 | + | 9.89043e9i | −0.680471 | + | 0.570983i | ||||
\(843\) | 1.56444e9 | + | 2.70968e9i | 0.0899417 | + | 0.155784i | ||||
\(844\) | 4.89363e9 | − | 8.47602e9i | 0.280177 | − | 0.485281i | ||||
\(845\) | −2.78399e9 | − | 1.57888e10i | −0.158734 | − | 0.900223i | ||||
\(846\) | −1.48134e9 | − | 8.40108e9i | −0.0841119 | − | 0.477022i | ||||
\(847\) | −3.72958e9 | + | 6.45983e9i | −0.210896 | + | 0.365282i | ||||
\(848\) | 4.05850e9 | + | 7.02953e9i | 0.228549 | + | 0.395859i | ||||
\(849\) | −6.71392e9 | + | 5.63364e9i | −0.376530 | + | 0.315946i | ||||
\(850\) | 4.01057e9 | − | 1.45973e9i | 0.223996 | − | 0.0815278i | ||||
\(851\) | −8.31492e8 | − | 3.02638e8i | −0.0462492 | − | 0.0168333i | ||||
\(852\) | 3.06802e9 | + | 2.57437e9i | 0.169949 | + | 0.142604i | ||||
\(853\) | −2.17520e9 | + | 1.23362e10i | −0.119999 | + | 0.680549i | 0.864154 | + | 0.503228i | \(0.167854\pi\) |
−0.984153 | + | 0.177321i | \(0.943257\pi\) | |||||||
\(854\) | 1.67678e10 | 0.921239 | ||||||||
\(855\) | 1.57360e10 | + | 1.05693e10i | 0.861018 | + | 0.578316i | ||||
\(856\) | −4.65974e9 | −0.253924 | ||||||||
\(857\) | −3.25799e9 | + | 1.84770e10i | −0.176814 | + | 1.00276i | 0.759215 | + | 0.650840i | \(0.225583\pi\) |
−0.936029 | + | 0.351923i | \(0.885528\pi\) | |||||||
\(858\) | −1.19345e9 | − | 1.00142e9i | −0.0645055 | − | 0.0541266i | ||||
\(859\) | −2.23640e10 | − | 8.13984e9i | −1.20385 | − | 0.438167i | −0.339286 | − | 0.940683i | \(-0.610186\pi\) |
−0.864568 | + | 0.502516i | \(0.832408\pi\) | |||||||
\(860\) | −1.36781e10 | + | 4.97841e9i | −0.733297 | + | 0.266898i | ||||
\(861\) | −5.05245e9 | + | 4.23951e9i | −0.269769 | + | 0.226363i | ||||
\(862\) | 3.95418e9 | + | 6.84884e9i | 0.210272 | + | 0.364202i | ||||
\(863\) | 1.90004e9 | − | 3.29097e9i | 0.100629 | − | 0.174295i | −0.811315 | − | 0.584610i | \(-0.801248\pi\) |
0.911944 | + | 0.410314i | \(0.134581\pi\) | |||||||
\(864\) | −3.70307e8 | − | 2.10011e9i | −0.0195327 | − | 0.110776i | ||||
\(865\) | −4.51195e9 | − | 2.55885e10i | −0.237032 | − | 1.34428i | ||||
\(866\) | 1.32914e10 | − | 2.30213e10i | 0.695436 | − | 1.20453i | ||||
\(867\) | −5.47784e8 | − | 9.48789e8i | −0.0285458 | − | 0.0494428i | ||||
\(868\) | −7.82936e8 | + | 6.56961e8i | −0.0406357 | + | 0.0340974i | ||||
\(869\) | 4.42923e9 | − | 1.61211e9i | 0.228960 | − | 0.0833345i | ||||
\(870\) | 7.01054e9 | + | 2.55163e9i | 0.360939 | + | 0.131371i | ||||
\(871\) | −5.99222e9 | − | 5.02807e9i | −0.307273 | − | 0.257833i | ||||
\(872\) | 1.54303e8 | − | 8.75097e8i | 0.00788074 | − | 0.0446939i | ||||
\(873\) | 1.38727e10 | 0.705687 | ||||||||
\(874\) | −6.81887e8 | + | 1.00335e10i | −0.0345479 | + | 0.508352i | ||||
\(875\) | 1.43045e10 | 0.721844 | ||||||||
\(876\) | −6.72496e8 | + | 3.81391e9i | −0.0338007 | + | 0.191693i | ||||
\(877\) | 1.00813e10 | + | 8.45924e9i | 0.504683 | + | 0.423480i | 0.859254 | − | 0.511550i | \(-0.170928\pi\) |
−0.354570 | + | 0.935029i | \(0.615373\pi\) | |||||||
\(878\) | 1.59132e10 | + | 5.79194e9i | 0.793465 | + | 0.288797i | ||||
\(879\) | −3.14581e9 | + | 1.14498e9i | −0.156232 | + | 0.0568640i | ||||
\(880\) | −3.41817e9 | + | 2.86818e9i | −0.169084 | + | 0.141879i | ||||
\(881\) | 7.32058e8 | + | 1.26796e9i | 0.0360686 | + | 0.0624727i | 0.883496 | − | 0.468438i | \(-0.155183\pi\) |
−0.847428 | + | 0.530911i | \(0.821850\pi\) | |||||||
\(882\) | 2.68656e8 | − | 4.65326e8i | 0.0131843 | − | 0.0228359i | ||||
\(883\) | −4.53478e8 | − | 2.57180e9i | −0.0221663 | − | 0.125711i | 0.971717 | − | 0.236150i | \(-0.0758856\pi\) |
−0.993883 | + | 0.110438i | \(0.964774\pi\) | |||||||
\(884\) | 7.60617e8 | + | 4.31367e9i | 0.0370325 | + | 0.210022i | ||||
\(885\) | 5.34294e9 | − | 9.25424e9i | 0.259107 | − | 0.448786i | ||||
\(886\) | 9.32243e9 | + | 1.61469e10i | 0.450309 | + | 0.779959i | ||||
\(887\) | −1.61824e10 | + | 1.35786e10i | −0.778590 | + | 0.653315i | −0.942893 | − | 0.333095i | \(-0.891907\pi\) |
0.164303 | + | 0.986410i | \(0.447463\pi\) | |||||||
\(888\) | 1.59737e8 | − | 5.81397e7i | 0.00765528 | − | 0.00278629i | ||||
\(889\) | 8.97730e9 | + | 3.26747e9i | 0.428538 | + | 0.155975i | ||||
\(890\) | 5.17246e9 | + | 4.34021e9i | 0.245942 | + | 0.206370i | ||||
\(891\) | −1.85731e9 | + | 1.05333e10i | −0.0879654 | + | 0.498876i | ||||
\(892\) | 8.69587e9 | 0.410238 | ||||||||
\(893\) | −9.69481e9 | − | 1.32890e10i | −0.455574 | − | 0.624471i | ||||
\(894\) | −6.65938e9 | −0.311711 | ||||||||
\(895\) | 8.16236e9 | − | 4.62910e10i | 0.380570 | − | 2.15832i | ||||
\(896\) | 1.42689e9 | + | 1.19731e9i | 0.0662695 | + | 0.0556067i | ||||
\(897\) | −2.31060e9 | − | 8.40989e8i | −0.106893 | − | 0.0389060i | ||||
\(898\) | −1.49671e10 | + | 5.44759e9i | −0.689718 | + | 0.251037i | ||||
\(899\) | −2.48872e9 | + | 2.08829e9i | −0.114240 | + | 0.0958586i | ||||
\(900\) | 1.79204e9 | + | 3.10391e9i | 0.0819406 | + | 0.141925i | ||||
\(901\) | 1.82943e10 | − | 3.16867e10i | 0.833257 | − | 1.44324i | ||||
\(902\) | −2.17742e9 | − | 1.23488e10i | −0.0987913 | − | 0.560274i | ||||
\(903\) | 1.69165e9 | + | 9.59383e9i | 0.0764546 | + | 0.433595i | ||||
\(904\) | −6.30345e9 | + | 1.09179e10i | −0.283785 | + | 0.491529i | ||||
\(905\) | −1.17484e10 | − | 2.03488e10i | −0.526876 | − | 0.912576i | ||||
\(906\) | −3.59998e9 | + | 3.02074e9i | −0.160824 | + | 0.134948i | ||||
\(907\) | −1.38465e10 | + | 5.03973e9i | −0.616192 | + | 0.224276i | −0.631210 | − | 0.775612i | \(-0.717442\pi\) |
0.0150184 | + | 0.999887i | \(0.495219\pi\) | |||||||
\(908\) | 9.58930e9 | + | 3.49022e9i | 0.425096 | + | 0.154722i | ||||
\(909\) | −1.79409e10 | − | 1.50542e10i | −0.792265 | − | 0.664789i | ||||
\(910\) | 1.49625e9 | − | 8.48568e9i | 0.0658204 | − | 0.373286i | ||||
\(911\) | 1.58109e10 | 0.692857 | 0.346428 | − | 0.938076i | \(-0.387394\pi\) | ||||
0.346428 | + | 0.938076i | \(0.387394\pi\) | |||||||
\(912\) | −1.13865e9 | − | 1.56078e9i | −0.0497059 | − | 0.0681335i | ||||
\(913\) | 3.19988e9 | 0.139151 | ||||||||
\(914\) | −7.70456e8 | + | 4.36948e9i | −0.0333762 | + | 0.189286i | ||||
\(915\) | −9.32974e9 | − | 7.82858e9i | −0.402620 | − | 0.337838i | ||||
\(916\) | −1.06160e10 | − | 3.86390e9i | −0.456380 | − | 0.166109i | ||||
\(917\) | 3.22084e10 | − | 1.17229e10i | 1.37936 | − | 0.502044i | ||||
\(918\) | −7.36369e9 | + | 6.17887e9i | −0.314157 | + | 0.263609i | ||||
\(919\) | −1.15061e10 | − | 1.99292e10i | −0.489017 | − | 0.847002i | 0.510903 | − | 0.859638i | \(-0.329311\pi\) |
−0.999920 | + | 0.0126359i | \(0.995978\pi\) | |||||||
\(920\) | −3.52127e9 | + | 6.09902e9i | −0.149088 | + | 0.258228i | ||||
\(921\) | 1.41615e8 | + | 8.03140e8i | 0.00597312 | + | 0.0338753i | ||||
\(922\) | −1.91806e9 | − | 1.08778e10i | −0.0805941 | − | 0.457072i | ||||
\(923\) | 7.35180e9 | − | 1.27337e10i | 0.307743 | − | 0.533026i | ||||
\(924\) | 1.49318e9 | + | 2.58626e9i | 0.0622672 | + | 0.107850i | ||||
\(925\) | −4.65821e8 | + | 3.90870e8i | −0.0193519 | + | 0.0162381i | ||||
\(926\) | 1.03311e10 | − | 3.76020e9i | 0.427569 | − | 0.155622i | ||||
\(927\) | −6.04772e8 | − | 2.20119e8i | −0.0249352 | − | 0.00907567i | ||||
\(928\) | 4.53567e9 | + | 3.80588e9i | 0.186305 | + | 0.156328i | ||||
\(929\) | −5.69349e9 | + | 3.22894e10i | −0.232983 | + | 1.32131i | 0.613838 | + | 0.789432i | \(0.289625\pi\) |
−0.846820 | + | 0.531879i | \(0.821486\pi\) | |||||||
\(930\) | 7.42357e8 | 0.0302637 | ||||||||
\(931\) | 7.02513e7 | − | 1.03370e9i | 0.00285319 | − | 0.0419829i | ||||
\(932\) | −6.53732e9 | −0.264511 | ||||||||
\(933\) | 2.80644e9 | − | 1.59161e10i | 0.113128 | − | 0.641582i | ||||
\(934\) | −4.86646e9 | − | 4.08345e9i | −0.195434 | − | 0.163988i | ||||
\(935\) | 1.89006e10 | + | 6.87925e9i | 0.756197 | + | 0.275233i | ||||
\(936\) | −3.45652e9 | + | 1.25807e9i | −0.137776 | + | 0.0501463i | ||||
\(937\) | 9.76325e9 | − | 8.19234e9i | 0.387709 | − | 0.325326i | −0.428011 | − | 0.903774i | \(-0.640786\pi\) |
0.815720 | + | 0.578447i | \(0.196341\pi\) | |||||||
\(938\) | 7.49715e9 | + | 1.29855e10i | 0.296610 | + | 0.513744i | ||||
\(939\) | −4.37860e9 | + | 7.58396e9i | −0.172586 | + | 0.298928i | ||||
\(940\) | −2.00031e9 | − | 1.13443e10i | −0.0785508 | − | 0.445484i | ||||
\(941\) | 5.45450e9 | + | 3.09340e10i | 0.213398 | + | 1.21024i | 0.883664 | + | 0.468121i | \(0.155069\pi\) |
−0.670266 | + | 0.742121i | \(0.733820\pi\) | |||||||
\(942\) | 3.50680e8 | − | 6.07396e8i | 0.0136689 | − | 0.0236752i | ||||
\(943\) | −9.89536e9 | − | 1.71393e10i | −0.384274 | − | 0.665582i | ||||
\(944\) | 6.49660e9 | − | 5.45129e9i | 0.251353 | − | 0.210910i | ||||
\(945\) | 1.77692e10 | − | 6.46745e9i | 0.684945 | − | 0.249300i | ||||
\(946\) | −1.74040e10 | − | 6.33454e9i | −0.668391 | − | 0.243274i | ||||
\(947\) | 1.44998e10 | + | 1.21668e10i | 0.554801 | + | 0.465533i | 0.876563 | − | 0.481287i | \(-0.159831\pi\) |
−0.321762 | + | 0.946821i | \(0.604275\pi\) | |||||||
\(948\) | −2.48171e8 | + | 1.40745e9i | −0.00946068 | + | 0.0536542i | ||||
\(949\) | 1.42180e10 | 0.540016 | ||||||||
\(950\) | 5.73712e9 | + | 3.85342e9i | 0.217101 | + | 0.145819i | ||||
\(951\) | −1.20197e10 | −0.453171 | ||||||||
\(952\) | 1.45800e9 | − | 8.26874e9i | 0.0547683 | − | 0.310606i | ||||
\(953\) | 1.24740e10 | + | 1.04669e10i | 0.466854 | + | 0.391737i | 0.845645 | − | 0.533745i | \(-0.179216\pi\) |
−0.378792 | + | 0.925482i | \(0.623660\pi\) | |||||||
\(954\) | 2.88728e10 | + | 1.05089e10i | 1.07664 | + | 0.391864i | ||||
\(955\) | −8.21132e9 | + | 2.98868e9i | −0.305071 | + | 0.111037i | ||||
\(956\) | 1.04872e10 | − | 8.79980e9i | 0.388201 | − | 0.325739i | ||||
\(957\) | 4.74636e9 | + | 8.22094e9i | 0.175053 | + | 0.303200i | ||||
\(958\) | 1.35714e10 | − | 2.35063e10i | 0.498707 | − | 0.863785i | ||||
\(959\) | −3.03867e8 | − | 1.72331e9i | −0.0111255 | − | 0.0630956i | ||||
\(960\) | −2.34935e8 | − | 1.33238e9i | −0.00857036 | − | 0.0486049i | ||||
\(961\) | 1.35947e10 | − | 2.35467e10i | 0.494125 | − | 0.855850i | ||||
\(962\) | −3.12040e8 | − | 5.40469e8i | −0.0113005 | − | 0.0195730i | ||||
\(963\) | −1.35121e10 | + | 1.13380e10i | −0.487564 | + | 0.409115i | ||||
\(964\) | −1.63419e9 | + | 5.94796e8i | −0.0587533 | + | 0.0213845i | ||||
\(965\) | −4.84772e10 | − | 1.76443e10i | −1.73657 | − | 0.632059i | ||||
\(966\) | 3.61065e9 | + | 3.02969e9i | 0.128874 | + | 0.108138i | ||||
\(967\) | −4.26183e9 | + | 2.41700e10i | −0.151567 | + | 0.859577i | 0.810291 | + | 0.586027i | \(0.199309\pi\) |
−0.961858 | + | 0.273549i | \(0.911802\pi\) | |||||||
\(968\) | 4.29984e9 | 0.152366 | ||||||||
\(969\) | −3.52658e9 | + | 7.96272e9i | −0.124515 | + | 0.281144i | ||||
\(970\) | 1.87329e10 | 0.659030 | ||||||||
\(971\) | 3.85985e9 | − | 2.18903e10i | 0.135302 | − | 0.767335i | −0.839347 | − | 0.543596i | \(-0.817063\pi\) |
0.974649 | − | 0.223739i | \(-0.0718264\pi\) | |||||||
\(972\) | −9.46220e9 | − | 7.93973e9i | −0.330491 | − | 0.277315i | ||||
\(973\) | 2.40510e10 | + | 8.75384e9i | 0.837023 | + | 0.304652i | ||||
\(974\) | 8.36968e9 | − | 3.04632e9i | 0.290237 | − | 0.105638i | ||||
\(975\) | −1.29445e9 | + | 1.08617e9i | −0.0447270 | + | 0.0375304i | ||||
\(976\) | −4.83289e9 | − | 8.37082e9i | −0.166392 | − | 0.288200i | ||||
\(977\) | −1.43356e10 | + | 2.48299e10i | −0.491795 | + | 0.851814i | −0.999955 | − | 0.00944851i | \(-0.996992\pi\) |
0.508160 | + | 0.861262i | \(0.330326\pi\) | |||||||
\(978\) | −2.16176e9 | − | 1.22599e10i | −0.0738960 | − | 0.419085i | ||||
\(979\) | 1.49190e9 | + | 8.46097e9i | 0.0508159 | + | 0.288191i | ||||
\(980\) | 3.62778e8 | − | 6.28351e8i | 0.0123126 | − | 0.0213261i | ||||
\(981\) | −1.68183e9 | − | 2.91302e9i | −0.0568776 | − | 0.0985148i | ||||
\(982\) | −2.52440e10 | + | 2.11823e10i | −0.850685 | + | 0.713809i | ||||
\(983\) | 2.81499e10 | − | 1.02457e10i | 0.945233 | − | 0.344037i | 0.177003 | − | 0.984210i | \(-0.443360\pi\) |
0.768230 | + | 0.640174i | \(0.221138\pi\) | |||||||
\(984\) | 3.57270e9 | + | 1.30036e9i | 0.119540 | + | 0.0435090i | ||||
\(985\) | −1.40416e9 | − | 1.17823e9i | −0.0468157 | − | 0.0392830i | ||||
\(986\) | 4.63456e9 | − | 2.62839e10i | 0.153971 | − | 0.873213i | ||||
\(987\) | −7.70956e9 | −0.255223 | ||||||||
\(988\) | −4.91714e9 | + | 5.11183e9i | −0.162205 | + | 0.168627i | ||||
\(989\) | −2.92317e10 | −0.960875 | ||||||||
\(990\) | −2.93304e9 | + | 1.66341e10i | −0.0960714 | + | 0.544848i | ||||
\(991\) | 1.54163e10 | + | 1.29358e10i | 0.503179 | + | 0.422217i | 0.858721 | − | 0.512443i | \(-0.171259\pi\) |
−0.355542 | + | 0.934660i | \(0.615704\pi\) | |||||||
\(992\) | 5.53631e8 | + | 2.01505e8i | 0.0180065 | + | 0.00655383i | ||||
\(993\) | 1.17415e10 | − | 4.27357e9i | 0.380542 | − | 0.138506i | ||||
\(994\) | −2.15909e10 | + | 1.81169e10i | −0.697297 | + | 0.585102i | ||||
\(995\) | −9.98136e8 | − | 1.72882e9i | −0.0321225 | − | 0.0556377i | ||||
\(996\) | −4.85113e8 | + | 8.40240e8i | −0.0155573 | + | 0.0269461i | ||||
\(997\) | 5.58550e9 | + | 3.16769e10i | 0.178496 | + | 1.01230i | 0.934031 | + | 0.357193i | \(0.116266\pi\) |
−0.755534 | + | 0.655109i | \(0.772623\pi\) | |||||||
\(998\) | −1.96532e8 | − | 1.11459e9i | −0.00625858 | − | 0.0354942i | ||||
\(999\) | 6.84788e8 | − | 1.18609e9i | 0.0217309 | − | 0.0376389i |
(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 | 38.8.e.b.17.3 | yes | 36 | |
19.9 | even | 9 | inner | 38.8.e.b.9.3 | ✓ | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.8.e.b.9.3 | ✓ | 36 | 19.9 | even | 9 | inner | |
38.8.e.b.17.3 | yes | 36 | 1.1 | even | 1 | trivial |