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: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 5.3 | ||
Character | \(\chi\) | \(=\) | 38.5 |
Dual form | 38.8.e.a.23.3 |
$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −7.51754 | + | 2.73616i | −0.664463 | + | 0.241845i | ||||
\(3\) | 5.10191 | − | 28.9344i | 0.109096 | − | 0.618714i | −0.880409 | − | 0.474215i | \(-0.842732\pi\) |
0.989505 | − | 0.144499i | \(-0.0461570\pi\) | |||||||
\(4\) | 49.0268 | − | 41.1384i | 0.383022 | − | 0.321394i | ||||
\(5\) | 128.722 | + | 108.010i | 0.460529 | + | 0.386430i | 0.843326 | − | 0.537403i | \(-0.180594\pi\) |
−0.382796 | + | 0.923833i | \(0.625039\pi\) | |||||||
\(6\) | 40.8153 | + | 231.475i | 0.0771425 | + | 0.437497i | ||||
\(7\) | −158.544 | − | 274.607i | −0.174706 | − | 0.302600i | 0.765353 | − | 0.643610i | \(-0.222564\pi\) |
−0.940059 | + | 0.341010i | \(0.889231\pi\) | |||||||
\(8\) | −256.000 | + | 443.405i | −0.176777 | + | 0.306186i | ||||
\(9\) | 1243.94 | + | 452.756i | 0.568787 | + | 0.207022i | ||||
\(10\) | −1263.21 | − | 459.769i | −0.399461 | − | 0.145392i | ||||
\(11\) | −2151.37 | + | 3726.28i | −0.487350 | + | 0.844115i | −0.999894 | − | 0.0145461i | \(-0.995370\pi\) |
0.512544 | + | 0.858661i | \(0.328703\pi\) | |||||||
\(12\) | −940.184 | − | 1628.45i | −0.157065 | − | 0.272044i | ||||
\(13\) | −2490.06 | − | 14121.8i | −0.314346 | − | 1.78275i | −0.575862 | − | 0.817547i | \(-0.695333\pi\) |
0.261516 | − | 0.965199i | \(-0.415778\pi\) | |||||||
\(14\) | 1943.23 | + | 1630.57i | 0.189268 | + | 0.158815i | ||||
\(15\) | 3781.95 | − | 3173.43i | 0.289332 | − | 0.242778i | ||||
\(16\) | 711.263 | − | 4033.77i | 0.0434120 | − | 0.246202i | ||||
\(17\) | 27814.0 | − | 10123.5i | 1.37307 | − | 0.499756i | 0.452999 | − | 0.891511i | \(-0.350354\pi\) |
0.920070 | + | 0.391755i | \(0.128132\pi\) | |||||||
\(18\) | −10590.2 | −0.428005 | ||||||||
\(19\) | 28760.2 | − | 8168.36i | 0.961954 | − | 0.273210i | ||||
\(20\) | 10754.2 | 0.300589 | ||||||||
\(21\) | −8754.47 | + | 3186.37i | −0.206282 | + | 0.0750807i | ||||
\(22\) | 5977.31 | − | 33899.0i | 0.119681 | − | 0.678746i | ||||
\(23\) | 57504.3 | − | 48251.8i | 0.985491 | − | 0.826925i | 0.000582588 | − | 1.00000i | \(-0.499815\pi\) |
0.984909 | + | 0.173074i | \(0.0553701\pi\) | |||||||
\(24\) | 11523.6 | + | 9669.42i | 0.170156 | + | 0.142778i | ||||
\(25\) | −8663.21 | − | 49131.5i | −0.110889 | − | 0.628883i | ||||
\(26\) | 57358.8 | + | 99348.3i | 0.640019 | + | 1.10855i | ||||
\(27\) | 51574.6 | − | 89329.7i | 0.504269 | − | 0.873420i | ||||
\(28\) | −19069.8 | − | 6940.85i | −0.164170 | − | 0.0597530i | ||||
\(29\) | −227783. | − | 82906.3i | −1.73432 | − | 0.631240i | −0.735395 | − | 0.677639i | \(-0.763003\pi\) |
−0.998923 | + | 0.0463986i | \(0.985226\pi\) | |||||||
\(30\) | −19747.9 | + | 34204.4i | −0.133536 | + | 0.231290i | ||||
\(31\) | 51635.6 | + | 89435.4i | 0.311303 | + | 0.539192i | 0.978645 | − | 0.205559i | \(-0.0659013\pi\) |
−0.667342 | + | 0.744752i | \(0.732568\pi\) | |||||||
\(32\) | 5690.10 | + | 32270.2i | 0.0306970 | + | 0.174091i | ||||
\(33\) | 96841.6 | + | 81259.8i | 0.469098 | + | 0.393620i | ||||
\(34\) | −181393. | + | 152207.i | −0.791490 | + | 0.664139i | ||||
\(35\) | 9252.30 | − | 52472.4i | 0.0364763 | − | 0.206868i | ||||
\(36\) | 79612.0 | − | 28976.4i | 0.284394 | − | 0.103511i | ||||
\(37\) | −67418.1 | −0.218812 | −0.109406 | − | 0.993997i | \(-0.534895\pi\) | ||||
−0.109406 | + | 0.993997i | \(0.534895\pi\) | |||||||
\(38\) | −193856. | + | 140099.i | −0.573109 | + | 0.414182i | ||||
\(39\) | −421311. | −1.13730 | ||||||||
\(40\) | −80845.2 | + | 29425.2i | −0.199730 | + | 0.0726959i | ||||
\(41\) | −31149.2 | + | 176656.i | −0.0705836 | + | 0.400299i | 0.928963 | + | 0.370174i | \(0.120702\pi\) |
−0.999546 | + | 0.0301256i | \(0.990409\pi\) | |||||||
\(42\) | 57093.7 | − | 47907.3i | 0.118909 | − | 0.0997766i | ||||
\(43\) | 9915.02 | + | 8319.69i | 0.0190175 | + | 0.0159576i | 0.652247 | − | 0.758007i | \(-0.273827\pi\) |
−0.633229 | + | 0.773964i | \(0.718271\pi\) | |||||||
\(44\) | 47818.4 | + | 271192.i | 0.0846274 | + | 0.479946i | ||||
\(45\) | 111220. | + | 192638.i | 0.181944 | + | 0.315136i | ||||
\(46\) | −300266. | + | 520076.i | −0.454835 | + | 0.787797i | ||||
\(47\) | 845916. | + | 307888.i | 1.18846 | + | 0.432564i | 0.859182 | − | 0.511669i | \(-0.170973\pi\) |
0.329277 | + | 0.944233i | \(0.393195\pi\) | |||||||
\(48\) | −113086. | − | 41159.9i | −0.147593 | − | 0.0537193i | ||||
\(49\) | 361499. | − | 626134.i | 0.438956 | − | 0.760293i | ||||
\(50\) | 199558. | + | 345644.i | 0.225774 | + | 0.391052i | ||||
\(51\) | −151012. | − | 856431.i | −0.159410 | − | 0.904059i | ||||
\(52\) | −703030. | − | 589912.i | −0.693365 | − | 0.581802i | ||||
\(53\) | −107639. | + | 90319.7i | −0.0993124 | + | 0.0833330i | −0.691092 | − | 0.722767i | \(-0.742870\pi\) |
0.591780 | + | 0.806100i | \(0.298426\pi\) | |||||||
\(54\) | −143293. | + | 812656.i | −0.123836 | + | 0.702310i | ||||
\(55\) | −679406. | + | 247284.i | −0.550630 | + | 0.200413i | ||||
\(56\) | 162349. | 0.123536 | ||||||||
\(57\) | −89614.4 | − | 873834.i | −0.0640938 | − | 0.624981i | ||||
\(58\) | 1.93921e6 | 1.30505 | ||||||||
\(59\) | 1.22397e6 | − | 445490.i | 0.775872 | − | 0.282394i | 0.0764216 | − | 0.997076i | \(-0.475651\pi\) |
0.699450 | + | 0.714681i | \(0.253428\pi\) | |||||||
\(60\) | 54867.0 | − | 311166.i | 0.0327931 | − | 0.185979i | ||||
\(61\) | −2.08233e6 | + | 1.74728e6i | −1.17461 | + | 0.985617i | −0.174613 | + | 0.984637i | \(0.555867\pi\) |
−1.00000 | 0.000979598i | \(0.999688\pi\) | ||||||||
\(62\) | −632882. | − | 531051.i | −0.337250 | − | 0.282986i | ||||
\(63\) | −72889.4 | − | 413376.i | −0.0367259 | − | 0.208283i | ||||
\(64\) | −131072. | − | 227023.i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 1.20478e6 | − | 2.08674e6i | 0.544141 | − | 0.942480i | ||||
\(66\) | −950351. | − | 345899.i | −0.406893 | − | 0.148097i | ||||
\(67\) | 961324. | + | 349893.i | 0.390488 | + | 0.142126i | 0.529800 | − | 0.848122i | \(-0.322267\pi\) |
−0.139312 | + | 0.990249i | \(0.544489\pi\) | |||||||
\(68\) | 947170. | − | 1.64055e6i | 0.365297 | − | 0.632714i | ||||
\(69\) | −1.10276e6 | − | 1.91003e6i | −0.404117 | − | 0.699952i | ||||
\(70\) | 74018.4 | + | 419779.i | 0.0257927 | + | 0.146278i | ||||
\(71\) | 1.90070e6 | + | 1.59488e6i | 0.630246 | + | 0.528839i | 0.901005 | − | 0.433808i | \(-0.142830\pi\) |
−0.270760 | + | 0.962647i | \(0.587275\pi\) | |||||||
\(72\) | −519203. | + | 435663.i | −0.163936 | + | 0.137558i | ||||
\(73\) | −669268. | + | 3.79561e6i | −0.201358 | + | 1.14196i | 0.701710 | + | 0.712463i | \(0.252420\pi\) |
−0.903068 | + | 0.429497i | \(0.858691\pi\) | |||||||
\(74\) | 506818. | − | 184467.i | 0.145392 | − | 0.0529184i | ||||
\(75\) | −1.46579e6 | −0.401196 | ||||||||
\(76\) | 1.07399e6 | − | 1.58362e6i | 0.280642 | − | 0.413812i | ||||
\(77\) | 1.36435e6 | 0.340572 | ||||||||
\(78\) | 3.16722e6 | − | 1.15277e6i | 0.755697 | − | 0.275051i | ||||
\(79\) | 605328. | − | 3.43299e6i | 0.138133 | − | 0.783389i | −0.834494 | − | 0.551017i | \(-0.814240\pi\) |
0.972627 | − | 0.232372i | \(-0.0746488\pi\) | |||||||
\(80\) | 527245. | − | 442411.i | 0.115132 | − | 0.0966075i | ||||
\(81\) | −103808. | − | 87104.9i | −0.0217036 | − | 0.0182115i | ||||
\(82\) | −249194. | − | 1.41325e6i | −0.0499101 | − | 0.283054i | ||||
\(83\) | −92738.5 | − | 160628.i | −0.0178027 | − | 0.0308353i | 0.856987 | − | 0.515338i | \(-0.172334\pi\) |
−0.874790 | + | 0.484503i | \(0.839000\pi\) | |||||||
\(84\) | −298122. | + | 516362.i | −0.0548803 | + | 0.0950554i | ||||
\(85\) | 4.67371e6 | + | 1.70109e6i | 0.825459 | + | 0.300443i | ||||
\(86\) | −97300.6 | − | 35414.5i | −0.0164957 | − | 0.00600395i | ||||
\(87\) | −3.56097e6 | + | 6.16779e6i | −0.579764 | + | 1.00418i | ||||
\(88\) | −1.10150e6 | − | 1.90786e6i | −0.172304 | − | 0.298440i | ||||
\(89\) | −306890. | − | 1.74046e6i | −0.0461443 | − | 0.261697i | 0.953004 | − | 0.302957i | \(-0.0979739\pi\) |
−0.999148 | + | 0.0412600i | \(0.986863\pi\) | |||||||
\(90\) | −1.36319e6 | − | 1.14385e6i | −0.197109 | − | 0.165394i | ||||
\(91\) | −3.48317e6 | + | 2.92273e6i | −0.484540 | + | 0.406578i | ||||
\(92\) | 834250. | − | 4.73127e6i | 0.111696 | − | 0.633462i | ||||
\(93\) | 2.85120e6 | − | 1.03775e6i | 0.367568 | − | 0.133784i | ||||
\(94\) | −7.20164e6 | −0.894301 | ||||||||
\(95\) | 4.58434e6 | + | 2.05496e6i | 0.548585 | + | 0.245907i | ||||
\(96\) | 962749. | 0.111062 | ||||||||
\(97\) | −1.20648e7 | + | 4.39123e6i | −1.34221 | + | 0.488523i | −0.910506 | − | 0.413495i | \(-0.864308\pi\) |
−0.431699 | + | 0.902018i | \(0.642086\pi\) | |||||||
\(98\) | −1.00438e6 | + | 5.69611e6i | −0.107797 | + | 0.611346i | ||||
\(99\) | −4.36327e6 | + | 3.66122e6i | −0.451948 | + | 0.379230i | ||||
\(100\) | −2.44592e6 | − | 2.05237e6i | −0.244592 | − | 0.205237i | ||||
\(101\) | −1.38225e6 | − | 7.83912e6i | −0.133494 | − | 0.757081i | −0.975897 | − | 0.218233i | \(-0.929971\pi\) |
0.842403 | − | 0.538848i | \(-0.181140\pi\) | |||||||
\(102\) | 3.47857e6 | + | 6.02506e6i | 0.324564 | + | 0.562161i | ||||
\(103\) | −7.61581e6 | + | 1.31910e7i | −0.686730 | + | 1.18945i | 0.286160 | + | 0.958182i | \(0.407621\pi\) |
−0.972890 | + | 0.231269i | \(0.925712\pi\) | |||||||
\(104\) | 6.89915e6 | + | 2.51109e6i | 0.601421 | + | 0.218899i | ||||
\(105\) | −1.47105e6 | − | 535419.i | −0.124013 | − | 0.0451369i | ||||
\(106\) | 562050. | − | 973500.i | 0.0458358 | − | 0.0793899i | ||||
\(107\) | 1.06976e7 | + | 1.85287e7i | 0.844194 | + | 1.46219i | 0.886319 | + | 0.463074i | \(0.153254\pi\) |
−0.0421256 | + | 0.999112i | \(0.513413\pi\) | |||||||
\(108\) | −1.14635e6 | − | 6.50125e6i | −0.0875654 | − | 0.496608i | ||||
\(109\) | −290497. | − | 243756.i | −0.0214857 | − | 0.0180286i | 0.631982 | − | 0.774983i | \(-0.282242\pi\) |
−0.653467 | + | 0.756955i | \(0.726686\pi\) | |||||||
\(110\) | 4.43085e6 | − | 3.71793e6i | 0.317405 | − | 0.266334i | ||||
\(111\) | −343961. | + | 1.95070e6i | −0.0238715 | + | 0.135382i | ||||
\(112\) | −1.22047e6 | + | 444214.i | −0.0820850 | + | 0.0298765i | ||||
\(113\) | −1.56356e7 | −1.01939 | −0.509696 | − | 0.860355i | \(-0.670242\pi\) | ||||
−0.509696 | + | 0.860355i | \(0.670242\pi\) | |||||||
\(114\) | 3.06463e6 | + | 6.32388e6i | 0.193736 | + | 0.399776i | ||||
\(115\) | 1.26138e7 | 0.773396 | ||||||||
\(116\) | −1.45781e7 | + | 5.30600e6i | −0.867159 | + | 0.315620i | ||||
\(117\) | 3.29627e6 | − | 1.86941e7i | 0.190271 | − | 1.07908i | ||||
\(118\) | −7.98234e6 | + | 6.69798e6i | −0.447243 | + | 0.375281i | ||||
\(119\) | −7.18973e6 | − | 6.03290e6i | −0.391109 | − | 0.328180i | ||||
\(120\) | 438936. | + | 2.48933e6i | 0.0231882 | + | 0.131507i | ||||
\(121\) | 486794. | + | 843153.i | 0.0249802 | + | 0.0432671i | ||||
\(122\) | 1.08731e7 | − | 1.88328e7i | 0.542120 | − | 0.938980i | ||||
\(123\) | 4.95251e6 | + | 1.80257e6i | 0.239970 | + | 0.0873421i | ||||
\(124\) | 6.21076e6 | + | 2.26053e6i | 0.292529 | + | 0.106472i | ||||
\(125\) | 1.07554e7 | − | 1.86289e7i | 0.492541 | − | 0.853106i | ||||
\(126\) | 1.67901e6 | + | 2.90813e6i | 0.0747751 | + | 0.129514i | ||||
\(127\) | −7.04438e6 | − | 3.99507e7i | −0.305162 | − | 1.73066i | −0.622743 | − | 0.782427i | \(-0.713982\pi\) |
0.317581 | − | 0.948231i | \(-0.397129\pi\) | |||||||
\(128\) | 1.60651e6 | + | 1.34802e6i | 0.0677094 | + | 0.0568149i | ||||
\(129\) | 291311. | − | 244439.i | 0.0119479 | − | 0.0100255i | ||||
\(130\) | −3.34733e6 | + | 1.89836e7i | −0.133628 | + | 0.757841i | ||||
\(131\) | −6.21817e6 | + | 2.26323e6i | −0.241665 | + | 0.0879588i | −0.460013 | − | 0.887912i | \(-0.652155\pi\) |
0.218348 | + | 0.975871i | \(0.429933\pi\) | |||||||
\(132\) | 8.09074e6 | 0.306182 | ||||||||
\(133\) | −6.80286e6 | − | 6.60271e6i | −0.250733 | − | 0.243356i | ||||
\(134\) | −8.18416e6 | −0.293838 | ||||||||
\(135\) | 1.62873e7 | − | 5.92810e6i | 0.569746 | − | 0.207371i | ||||
\(136\) | −2.63159e6 | + | 1.49245e7i | −0.0897081 | + | 0.508760i | ||||
\(137\) | 4.09773e7 | − | 3.43840e7i | 1.36151 | − | 1.14244i | 0.385997 | − | 0.922500i | \(-0.373857\pi\) |
0.975513 | − | 0.219943i | \(-0.0705870\pi\) | |||||||
\(138\) | 1.35162e7 | + | 1.13414e7i | 0.437801 | + | 0.367358i | ||||
\(139\) | 5.10259e6 | + | 2.89382e7i | 0.161153 | + | 0.913945i | 0.952943 | + | 0.303151i | \(0.0980386\pi\) |
−0.791789 | + | 0.610794i | \(0.790850\pi\) | |||||||
\(140\) | −1.70502e6 | − | 2.95318e6i | −0.0525147 | − | 0.0909582i | ||||
\(141\) | 1.32243e7 | − | 2.29052e7i | 0.397290 | − | 0.688126i | ||||
\(142\) | −1.86525e7 | − | 6.78894e6i | −0.546672 | − | 0.198972i | ||||
\(143\) | 5.79790e7 | + | 2.11026e7i | 1.65804 | + | 0.603477i | ||||
\(144\) | 2.71108e6 | − | 4.69573e6i | 0.0756614 | − | 0.131049i | ||||
\(145\) | −2.03659e7 | − | 3.52748e7i | −0.554774 | − | 0.960897i | ||||
\(146\) | −5.35414e6 | − | 3.03648e7i | −0.142382 | − | 0.807488i | ||||
\(147\) | −1.62725e7 | − | 1.36542e7i | −0.422516 | − | 0.354533i | ||||
\(148\) | −3.30529e6 | + | 2.77347e6i | −0.0838097 | + | 0.0703247i | ||||
\(149\) | −1.45144e6 | + | 8.23155e6i | −0.0359458 | + | 0.203859i | −0.997492 | − | 0.0707861i | \(-0.977449\pi\) |
0.961546 | + | 0.274645i | \(0.0885603\pi\) | |||||||
\(150\) | 1.10191e7 | − | 4.01063e6i | 0.266580 | − | 0.0970272i | ||||
\(151\) | −6.54252e6 | −0.154641 | −0.0773207 | − | 0.997006i | \(-0.524637\pi\) | ||||
−0.0773207 | + | 0.997006i | \(0.524637\pi\) | |||||||
\(152\) | −3.74072e6 | + | 1.48435e7i | −0.0863978 | + | 0.342834i | ||||
\(153\) | 3.91824e7 | 0.884445 | ||||||||
\(154\) | −1.02566e7 | + | 3.73308e6i | −0.226297 | + | 0.0823655i | ||||
\(155\) | −3.01334e6 | + | 1.70895e7i | −0.0649960 | + | 0.368611i | ||||
\(156\) | −2.06555e7 | + | 1.73321e7i | −0.435613 | + | 0.365522i | ||||
\(157\) | −1.96063e7 | − | 1.64516e7i | −0.404340 | − | 0.339281i | 0.417829 | − | 0.908526i | \(-0.362791\pi\) |
−0.822168 | + | 0.569245i | \(0.807236\pi\) | |||||||
\(158\) | 4.84263e6 | + | 2.74639e7i | 0.0976745 | + | 0.553940i | ||||
\(159\) | 2.06418e6 | + | 3.57527e6i | 0.0407247 | + | 0.0705373i | ||||
\(160\) | −2.75308e6 | + | 4.76847e6i | −0.0531372 | + | 0.0920363i | ||||
\(161\) | −2.23673e7 | − | 8.14102e6i | −0.422399 | − | 0.153741i | ||||
\(162\) | 1.01871e6 | + | 370780.i | 0.0188256 | + | 0.00685195i | ||||
\(163\) | −4.01934e7 | + | 6.96171e7i | −0.726940 | + | 1.25910i | 0.231231 | + | 0.972899i | \(0.425725\pi\) |
−0.958171 | + | 0.286198i | \(0.907609\pi\) | |||||||
\(164\) | 5.74020e6 | + | 9.94232e6i | 0.101619 | + | 0.176009i | ||||
\(165\) | 3.68873e6 | + | 2.09198e7i | 0.0639268 | + | 0.362547i | ||||
\(166\) | 1.13667e6 | + | 953779.i | 0.0192866 | + | 0.0161834i | ||||
\(167\) | −1.73754e7 | + | 1.45797e7i | −0.288687 | + | 0.242237i | −0.775617 | − | 0.631204i | \(-0.782561\pi\) |
0.486930 | + | 0.873441i | \(0.338117\pi\) | |||||||
\(168\) | 828293. | − | 4.69748e6i | 0.0134773 | − | 0.0764333i | ||||
\(169\) | −1.34262e8 | + | 4.88672e7i | −2.13968 | + | 0.778779i | ||||
\(170\) | −3.97893e7 | −0.621148 | ||||||||
\(171\) | 3.94742e7 | + | 2.86044e6i | 0.603708 | + | 0.0437468i | ||||
\(172\) | 828361. | 0.0124128 | ||||||||
\(173\) | −7.82740e7 | + | 2.84894e7i | −1.14936 | + | 0.418333i | −0.845285 | − | 0.534315i | \(-0.820570\pi\) |
−0.304075 | + | 0.952648i | \(0.598347\pi\) | |||||||
\(174\) | 9.89371e6 | − | 5.61100e7i | 0.142376 | − | 0.807454i | ||||
\(175\) | −1.21183e7 | + | 1.01685e7i | −0.170927 | + | 0.143425i | ||||
\(176\) | 1.35008e7 | + | 1.13285e7i | 0.186666 | + | 0.156631i | ||||
\(177\) | −6.64537e6 | − | 3.76878e7i | −0.0900768 | − | 0.510851i | ||||
\(178\) | 7.06924e6 | + | 1.22443e7i | 0.0939512 | + | 0.162728i | ||||
\(179\) | 5.32630e7 | − | 9.22541e7i | 0.694128 | − | 1.20227i | −0.276346 | − | 0.961058i | \(-0.589123\pi\) |
0.970474 | − | 0.241207i | \(-0.0775432\pi\) | |||||||
\(180\) | 1.33776e7 | + | 4.86904e6i | 0.170971 | + | 0.0622285i | ||||
\(181\) | 7.01898e7 | + | 2.55470e7i | 0.879830 | + | 0.320232i | 0.742141 | − | 0.670243i | \(-0.233810\pi\) |
0.137689 | + | 0.990475i | \(0.456033\pi\) | |||||||
\(182\) | 1.81878e7 | − | 3.15022e7i | 0.223630 | − | 0.387339i | ||||
\(183\) | 3.99326e7 | + | 6.91654e7i | 0.481670 | + | 0.834276i | ||||
\(184\) | 6.67400e6 | + | 3.78502e7i | 0.0789813 | + | 0.447925i | ||||
\(185\) | −8.67818e6 | − | 7.28186e6i | −0.100769 | − | 0.0845553i | ||||
\(186\) | −1.85946e7 | + | 1.56027e7i | −0.211880 | + | 0.177789i | ||||
\(187\) | −2.21153e7 | + | 1.25422e8i | −0.247313 | + | 1.40258i | ||||
\(188\) | 5.41386e7 | − | 1.97048e7i | 0.594230 | − | 0.216282i | ||||
\(189\) | −3.27074e7 | −0.352395 | ||||||||
\(190\) | −4.00856e7 | − | 2.90474e6i | −0.423986 | − | 0.0307235i | ||||
\(191\) | −7.98855e7 | −0.829566 | −0.414783 | − | 0.909920i | \(-0.636143\pi\) | ||||
−0.414783 | + | 0.909920i | \(0.636143\pi\) | |||||||
\(192\) | −7.23750e6 | + | 2.63424e6i | −0.0737963 | + | 0.0268596i | ||||
\(193\) | 2.34162e7 | − | 1.32800e8i | 0.234458 | − | 1.32968i | −0.609294 | − | 0.792945i | \(-0.708547\pi\) |
0.843752 | − | 0.536733i | \(-0.180342\pi\) | |||||||
\(194\) | 7.86825e7 | − | 6.60225e7i | 0.773699 | − | 0.649211i | ||||
\(195\) | −5.42319e7 | − | 4.55060e7i | −0.523762 | − | 0.439488i | ||||
\(196\) | −8.03502e6 | − | 4.55689e7i | −0.0762238 | − | 0.432287i | ||||
\(197\) | 4.65405e7 | + | 8.06105e7i | 0.433710 | + | 0.751207i | 0.997189 | − | 0.0749229i | \(-0.0238711\pi\) |
−0.563480 | + | 0.826130i | \(0.690538\pi\) | |||||||
\(198\) | 2.27834e7 | − | 3.94620e7i | 0.208588 | − | 0.361286i | ||||
\(199\) | 1.49263e8 | + | 5.43271e7i | 1.34266 | + | 0.488687i | 0.910648 | − | 0.413182i | \(-0.135583\pi\) |
0.432009 | + | 0.901869i | \(0.357805\pi\) | |||||||
\(200\) | 2.40029e7 | + | 8.73635e6i | 0.212158 | + | 0.0772192i | ||||
\(201\) | 1.50285e7 | − | 2.60302e7i | 0.130536 | − | 0.226095i | ||||
\(202\) | 3.18402e7 | + | 5.51488e7i | 0.271798 | + | 0.470768i | ||||
\(203\) | 1.33471e7 | + | 7.56952e7i | 0.111983 | + | 0.635085i | ||||
\(204\) | −4.26358e7 | − | 3.57757e7i | −0.351616 | − | 0.295041i | ||||
\(205\) | −2.30903e7 | + | 1.93750e7i | −0.187193 | + | 0.157074i | ||||
\(206\) | 2.11595e7 | − | 1.20002e8i | 0.168644 | − | 0.956428i | ||||
\(207\) | 9.33781e7 | − | 3.39868e7i | 0.731727 | − | 0.266327i | ||||
\(208\) | −5.87354e7 | −0.452562 | ||||||||
\(209\) | −3.14362e7 | + | 1.24742e8i | −0.238187 | + | 0.945149i | ||||
\(210\) | 1.25237e7 | 0.0933178 | ||||||||
\(211\) | −6.97327e7 | + | 2.53806e7i | −0.511031 | + | 0.186000i | −0.584649 | − | 0.811286i | \(-0.698768\pi\) |
0.0736176 | + | 0.997287i | \(0.476546\pi\) | |||||||
\(212\) | −1.56158e6 | + | 8.85618e6i | −0.0112561 | + | 0.0638368i | ||||
\(213\) | 5.58441e7 | − | 4.68587e7i | 0.395957 | − | 0.332248i | ||||
\(214\) | −1.31117e8 | − | 1.10020e8i | −0.914558 | − | 0.767405i | ||||
\(215\) | 377666. | + | 2.14185e6i | 0.00259163 | + | 0.0146979i | ||||
\(216\) | 2.64062e7 | + | 4.57368e7i | 0.178286 | + | 0.308800i | ||||
\(217\) | 1.63731e7 | − | 2.83590e7i | 0.108773 | − | 0.188400i | ||||
\(218\) | 2.85078e6 | + | 1.03760e6i | 0.0186366 | + | 0.00678315i | ||||
\(219\) | 1.06409e8 | + | 3.87297e7i | 0.684580 | + | 0.249167i | ||||
\(220\) | −2.31363e7 | + | 4.00732e7i | −0.146492 | + | 0.253732i | ||||
\(221\) | −2.12221e8 | − | 3.67577e8i | −1.32256 | − | 2.29074i | ||||
\(222\) | −2.75169e6 | − | 1.56056e7i | −0.0168797 | − | 0.0957294i | ||||
\(223\) | −5.77301e6 | − | 4.84413e6i | −0.0348607 | − | 0.0292516i | 0.625191 | − | 0.780472i | \(-0.285021\pi\) |
−0.660052 | + | 0.751220i | \(0.729466\pi\) | |||||||
\(224\) | 7.95948e6 | − | 6.67880e6i | 0.0473170 | − | 0.0397036i | ||||
\(225\) | 1.14681e7 | − | 6.50389e7i | 0.0671201 | − | 0.380657i | ||||
\(226\) | 1.17542e8 | − | 4.27816e7i | 0.677348 | − | 0.246535i | ||||
\(227\) | −3.83717e7 | −0.217731 | −0.108866 | − | 0.994056i | \(-0.534722\pi\) | ||||
−0.108866 | + | 0.994056i | \(0.534722\pi\) | |||||||
\(228\) | −4.03416e7 | − | 3.91547e7i | −0.225414 | − | 0.218782i | ||||
\(229\) | −6.20080e7 | −0.341212 | −0.170606 | − | 0.985339i | \(-0.554572\pi\) | ||||
−0.170606 | + | 0.985339i | \(0.554572\pi\) | |||||||
\(230\) | −9.48245e7 | + | 3.45133e7i | −0.513893 | + | 0.187042i | ||||
\(231\) | 6.96080e6 | − | 3.94767e7i | 0.0371550 | − | 0.210717i | ||||
\(232\) | 9.50736e7 | − | 7.97762e7i | 0.499864 | − | 0.419436i | ||||
\(233\) | 2.05728e8 | + | 1.72626e8i | 1.06549 | + | 0.894049i | 0.994636 | − | 0.103438i | \(-0.0329845\pi\) |
0.0708497 | + | 0.997487i | \(0.477429\pi\) | |||||||
\(234\) | 2.63702e7 | + | 1.49553e8i | 0.134542 | + | 0.763025i | ||||
\(235\) | 7.56327e7 | + | 1.31000e8i | 0.380165 | + | 0.658465i | ||||
\(236\) | 4.16808e7 | − | 7.21933e7i | 0.206416 | − | 0.357524i | ||||
\(237\) | −9.62431e7 | − | 3.50296e7i | −0.469624 | − | 0.170929i | ||||
\(238\) | 7.05561e7 | + | 2.56803e7i | 0.339246 | + | 0.123476i | ||||
\(239\) | 1.06413e7 | − | 1.84313e7i | 0.0504200 | − | 0.0873300i | −0.839714 | − | 0.543029i | \(-0.817277\pi\) |
0.890134 | + | 0.455699i | \(0.150611\pi\) | |||||||
\(240\) | −1.01109e7 | − | 1.75127e7i | −0.0472119 | − | 0.0817735i | ||||
\(241\) | 4.74328e6 | + | 2.69005e7i | 0.0218283 | + | 0.123794i | 0.993775 | − | 0.111408i | \(-0.0355360\pi\) |
−0.971947 | + | 0.235202i | \(0.924425\pi\) | |||||||
\(242\) | −5.96650e6 | − | 5.00649e6i | −0.0270624 | − | 0.0227080i | ||||
\(243\) | 1.69760e8 | − | 1.42445e8i | 0.758950 | − | 0.636834i | ||||
\(244\) | −3.02096e7 | + | 1.71327e8i | −0.133131 | + | 0.755026i | ||||
\(245\) | 1.14162e8 | − | 4.15515e7i | 0.495952 | − | 0.180512i | ||||
\(246\) | −4.21628e7 | −0.180575 | ||||||||
\(247\) | −1.86967e8 | − | 3.85807e8i | −0.789452 | − | 1.62904i | ||||
\(248\) | −5.28748e7 | −0.220124 | ||||||||
\(249\) | −5.12081e6 | + | 1.86382e6i | −0.0210204 | + | 0.00765080i | ||||
\(250\) | −2.98825e7 | + | 1.69472e8i | −0.120956 | + | 0.685976i | ||||
\(251\) | −2.88905e8 | + | 2.42420e8i | −1.15318 | + | 0.967631i | −0.999789 | − | 0.0205344i | \(-0.993463\pi\) |
−0.153389 | + | 0.988166i | \(0.549019\pi\) | |||||||
\(252\) | −2.05792e7 | − | 1.72680e7i | −0.0810076 | − | 0.0679735i | ||||
\(253\) | 5.60869e7 | + | 3.18085e8i | 0.217741 | + | 1.23487i | ||||
\(254\) | 1.62268e8 | + | 2.81056e8i | 0.621319 | + | 1.07616i | ||||
\(255\) | 7.30649e7 | − | 1.26552e8i | 0.275942 | − | 0.477946i | ||||
\(256\) | −1.57654e7 | − | 5.73815e6i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | 2.98383e8 | + | 1.08602e8i | 1.09650 | + | 0.399093i | 0.826024 | − | 0.563635i | \(-0.190597\pi\) |
0.270474 | + | 0.962727i | \(0.412820\pi\) | |||||||
\(258\) | −1.52112e6 | + | 2.63465e6i | −0.00551434 | + | 0.00955112i | ||||
\(259\) | 1.06888e7 | + | 1.85135e7i | 0.0382277 | + | 0.0662123i | ||||
\(260\) | −2.67786e7 | − | 1.51869e8i | −0.0944891 | − | 0.535874i | ||||
\(261\) | −2.45812e8 | − | 2.06261e8i | −0.855778 | − | 0.718083i | ||||
\(262\) | 4.05528e7 | − | 3.40278e7i | 0.139305 | − | 0.116891i | ||||
\(263\) | −3.67194e7 | + | 2.08246e8i | −0.124466 | + | 0.705882i | 0.857157 | + | 0.515054i | \(0.172228\pi\) |
−0.981624 | + | 0.190828i | \(0.938883\pi\) | |||||||
\(264\) | −6.08225e7 | + | 2.21376e7i | −0.203446 | + | 0.0740485i | ||||
\(265\) | −2.36110e7 | −0.0779387 | ||||||||
\(266\) | 6.92068e7 | + | 3.10224e7i | 0.225457 | + | 0.101062i | ||||
\(267\) | −5.19249e7 | −0.166950 | ||||||||
\(268\) | 6.15248e7 | − | 2.23932e7i | 0.195244 | − | 0.0710631i | ||||
\(269\) | 4.42453e7 | − | 2.50928e8i | 0.138591 | − | 0.785987i | −0.833701 | − | 0.552216i | \(-0.813782\pi\) |
0.972292 | − | 0.233771i | \(-0.0751066\pi\) | |||||||
\(270\) | −1.06220e8 | + | 8.91295e7i | −0.328424 | + | 0.275580i | ||||
\(271\) | −3.56259e8 | − | 2.98937e8i | −1.08736 | − | 0.912403i | −0.0908488 | − | 0.995865i | \(-0.528958\pi\) |
−0.996511 | + | 0.0834614i | \(0.973402\pi\) | |||||||
\(272\) | −2.10527e7 | − | 1.19396e8i | −0.0634332 | − | 0.359748i | ||||
\(273\) | 6.67965e7 | + | 1.15695e8i | 0.198694 | + | 0.344148i | ||||
\(274\) | −2.13968e8 | + | 3.70603e8i | −0.628379 | + | 1.08838i | ||||
\(275\) | 2.01716e8 | + | 7.34185e7i | 0.584891 | + | 0.212883i | ||||
\(276\) | −1.32640e8 | − | 4.82771e7i | −0.379746 | − | 0.138216i | ||||
\(277\) | −7.17736e7 | + | 1.24316e8i | −0.202902 | + | 0.351436i | −0.949462 | − | 0.313882i | \(-0.898371\pi\) |
0.746561 | + | 0.665318i | \(0.231704\pi\) | |||||||
\(278\) | −1.17539e8 | − | 2.03583e8i | −0.328113 | − | 0.568309i | ||||
\(279\) | 2.37390e7 | + | 1.34630e8i | 0.0654406 | + | 0.371132i | ||||
\(280\) | 2.08979e7 | + | 1.75354e7i | 0.0568919 | + | 0.0477379i | ||||
\(281\) | −1.59810e8 | + | 1.34096e8i | −0.429666 | + | 0.360533i | −0.831826 | − | 0.555037i | \(-0.812704\pi\) |
0.402159 | + | 0.915570i | \(0.368260\pi\) | |||||||
\(282\) | −3.67421e7 | + | 2.08375e8i | −0.0975646 | + | 0.553317i | ||||
\(283\) | −2.68976e8 | + | 9.78992e7i | −0.705441 | + | 0.256760i | −0.669732 | − | 0.742603i | \(-0.733591\pi\) |
−0.0357089 | + | 0.999362i | \(0.511369\pi\) | |||||||
\(284\) | 1.58796e8 | 0.411364 | ||||||||
\(285\) | 8.28478e7 | − | 1.22161e8i | 0.211994 | − | 0.312590i | ||||
\(286\) | −4.93600e8 | −1.24765 | ||||||||
\(287\) | 5.34495e7 | − | 1.94540e7i | 0.133462 | − | 0.0485761i | ||||
\(288\) | −7.53240e6 | + | 4.27183e7i | −0.0185806 | + | 0.105376i | ||||
\(289\) | 3.56797e8 | − | 2.99388e8i | 0.869517 | − | 0.729612i | ||||
\(290\) | 2.49619e8 | + | 2.09455e8i | 0.601015 | + | 0.504311i | ||||
\(291\) | 6.55039e7 | + | 3.71491e8i | 0.155827 | + | 0.883737i | ||||
\(292\) | 1.23333e8 | + | 2.13619e8i | 0.289894 | + | 0.502112i | ||||
\(293\) | 2.15235e7 | − | 3.72797e7i | 0.0499891 | − | 0.0865837i | −0.839948 | − | 0.542667i | \(-0.817415\pi\) |
0.889937 | + | 0.456083i | \(0.150748\pi\) | |||||||
\(294\) | 1.59689e8 | + | 5.81221e7i | 0.366488 | + | 0.133391i | ||||
\(295\) | 2.05670e8 | + | 7.48577e7i | 0.466437 | + | 0.169769i | ||||
\(296\) | 1.72590e7 | − | 2.98935e7i | 0.0386808 | − | 0.0669971i | ||||
\(297\) | 2.21912e8 | + | 3.84363e8i | 0.491511 | + | 0.851322i | ||||
\(298\) | −1.16116e7 | − | 6.58524e7i | −0.0254175 | − | 0.144150i | ||||
\(299\) | −8.24594e8 | − | 6.91916e8i | −1.78398 | − | 1.49694i | ||||
\(300\) | −7.18630e7 | + | 6.03002e7i | −0.153667 | + | 0.128942i | ||||
\(301\) | 712674. | − | 4.04178e6i | 0.00150629 | − | 0.00854259i | ||||
\(302\) | 4.91837e7 | − | 1.79014e7i | 0.102754 | − | 0.0373992i | ||||
\(303\) | −2.33872e8 | −0.482981 | ||||||||
\(304\) | −1.24932e7 | − | 1.21822e8i | −0.0255045 | − | 0.248696i | ||||
\(305\) | −4.56766e8 | −0.921815 | ||||||||
\(306\) | −2.94555e8 | + | 1.07209e8i | −0.587681 | + | 0.213898i | ||||
\(307\) | 1.60017e8 | − | 9.07504e8i | 0.315633 | − | 1.79005i | −0.253011 | − | 0.967463i | \(-0.581421\pi\) |
0.568645 | − | 0.822583i | \(-0.307468\pi\) | |||||||
\(308\) | 6.68898e7 | − | 5.61272e7i | 0.130447 | − | 0.109458i | ||||
\(309\) | 3.42817e8 | + | 2.87658e8i | 0.661010 | + | 0.554654i | ||||
\(310\) | −2.41067e7 | − | 1.36716e8i | −0.0459591 | − | 0.260647i | ||||
\(311\) | 1.14019e8 | + | 1.97487e8i | 0.214940 | + | 0.372287i | 0.953254 | − | 0.302170i | \(-0.0977110\pi\) |
−0.738314 | + | 0.674457i | \(0.764378\pi\) | |||||||
\(312\) | 1.07856e8 | − | 1.86811e8i | 0.201049 | − | 0.348227i | ||||
\(313\) | 2.35374e8 | + | 8.56691e7i | 0.433864 | + | 0.157913i | 0.549714 | − | 0.835353i | \(-0.314737\pi\) |
−0.115850 | + | 0.993267i | \(0.536959\pi\) | |||||||
\(314\) | 1.92405e8 | + | 7.00298e7i | 0.350722 | + | 0.127652i | ||||
\(315\) | 3.52665e7 | − | 6.10834e7i | 0.0635734 | − | 0.110112i | ||||
\(316\) | −1.11550e8 | − | 1.93211e8i | −0.198869 | − | 0.344450i | ||||
\(317\) | 1.47508e8 | + | 8.36562e8i | 0.260081 | + | 1.47500i | 0.782684 | + | 0.622419i | \(0.213850\pi\) |
−0.522603 | + | 0.852576i | \(0.675039\pi\) | |||||||
\(318\) | −2.53001e7 | − | 2.12293e7i | −0.0441192 | − | 0.0370204i | ||||
\(319\) | 7.98979e8 | − | 6.70423e8i | 1.37806 | − | 1.15633i | ||||
\(320\) | 7.64907e6 | − | 4.33800e7i | 0.0130492 | − | 0.0740056i | ||||
\(321\) | 5.90696e8 | − | 2.14996e8i | 0.996774 | − | 0.362796i | ||||
\(322\) | 1.90422e8 | 0.317850 | ||||||||
\(323\) | 7.17245e8 | − | 5.18348e8i | 1.18429 | − | 0.855879i | ||||
\(324\) | −8.67271e6 | −0.0141660 | ||||||||
\(325\) | −6.72255e8 | + | 2.44681e8i | −1.08628 | + | 0.395374i | ||||
\(326\) | 1.11672e8 | − | 6.33325e8i | 0.178519 | − | 1.01243i | ||||
\(327\) | −8.53502e6 | + | 7.16173e6i | −0.0134986 | + | 0.0113266i | ||||
\(328\) | −7.03560e7 | − | 5.90357e7i | −0.110089 | − | 0.0923753i | ||||
\(329\) | −4.95670e7 | − | 2.81108e8i | −0.0767373 | − | 0.435199i | ||||
\(330\) | −8.49702e7 | − | 1.47173e8i | −0.130157 | − | 0.225439i | ||||
\(331\) | −7.91085e7 | + | 1.37020e8i | −0.119902 | + | 0.207676i | −0.919729 | − | 0.392555i | \(-0.871591\pi\) |
0.799827 | + | 0.600231i | \(0.204925\pi\) | |||||||
\(332\) | −1.11547e7 | − | 4.05996e6i | −0.0167291 | − | 0.00608890i | ||||
\(333\) | −8.38639e7 | − | 3.05240e7i | −0.124457 | − | 0.0452987i | ||||
\(334\) | 9.07278e7 | − | 1.57145e8i | 0.133238 | − | 0.230775i | ||||
\(335\) | 8.59513e7 | + | 1.48872e8i | 0.124910 | + | 0.216350i | ||||
\(336\) | 6.62635e6 | + | 3.75799e7i | 0.00952986 | + | 0.0540465i | ||||
\(337\) | 1.16870e8 | + | 9.80658e7i | 0.166341 | + | 0.139577i | 0.722158 | − | 0.691728i | \(-0.243150\pi\) |
−0.555817 | + | 0.831304i | \(0.687595\pi\) | |||||||
\(338\) | 8.75608e8 | − | 7.34723e8i | 1.23339 | − | 1.03494i | ||||
\(339\) | −7.97717e7 | + | 4.52408e8i | −0.111212 | + | 0.630712i | ||||
\(340\) | 2.99118e8 | − | 1.08870e8i | 0.412730 | − | 0.150221i | ||||
\(341\) | −4.44349e8 | −0.606854 | ||||||||
\(342\) | −3.04575e8 | + | 8.65043e7i | −0.411722 | + | 0.116936i | ||||
\(343\) | −4.90391e8 | −0.656165 | ||||||||
\(344\) | −6.22724e6 | + | 2.26653e6i | −0.00824785 | + | 0.00300197i | ||||
\(345\) | 6.43543e7 | − | 3.64972e8i | 0.0843745 | − | 0.478511i | ||||
\(346\) | 5.10477e8 | − | 4.28341e8i | 0.662536 | − | 0.555934i | ||||
\(347\) | 8.38749e7 | + | 7.03794e7i | 0.107765 | + | 0.0904258i | 0.695078 | − | 0.718934i | \(-0.255370\pi\) |
−0.587313 | + | 0.809360i | \(0.699814\pi\) | |||||||
\(348\) | 7.91497e7 | + | 4.48880e8i | 0.100675 | + | 0.570956i | ||||
\(349\) | 3.49851e8 | + | 6.05959e8i | 0.440549 | + | 0.763053i | 0.997730 | − | 0.0673381i | \(-0.0214506\pi\) |
−0.557182 | + | 0.830391i | \(0.688117\pi\) | |||||||
\(350\) | 6.32775e7 | − | 1.09600e8i | 0.0788881 | − | 0.136638i | ||||
\(351\) | −1.38992e9 | − | 5.05891e8i | −1.71560 | − | 0.624428i | ||||
\(352\) | −1.32489e8 | − | 4.82222e7i | −0.161913 | − | 0.0589315i | ||||
\(353\) | −6.03261e7 | + | 1.04488e8i | −0.0729952 | + | 0.126431i | −0.900213 | − | 0.435450i | \(-0.856589\pi\) |
0.827218 | + | 0.561882i | \(0.189922\pi\) | |||||||
\(354\) | 1.53077e8 | + | 2.65137e8i | 0.183399 | + | 0.317657i | ||||
\(355\) | 7.23984e7 | + | 4.10592e8i | 0.0858874 | + | 0.487092i | ||||
\(356\) | −8.66456e7 | − | 7.27043e7i | −0.101782 | − | 0.0854053i | ||||
\(357\) | −2.11240e8 | + | 1.77251e8i | −0.245718 | + | 0.206182i | ||||
\(358\) | −1.47984e8 | + | 8.39260e8i | −0.170461 | + | 0.966732i | ||||
\(359\) | 1.99755e8 | − | 7.27049e7i | 0.227860 | − | 0.0829341i | −0.225567 | − | 0.974228i | \(-0.572424\pi\) |
0.453427 | + | 0.891293i | \(0.350201\pi\) | |||||||
\(360\) | −1.13889e8 | −0.128654 | ||||||||
\(361\) | 7.60428e8 | − | 4.69847e8i | 0.850712 | − | 0.525632i | ||||
\(362\) | −5.97555e8 | −0.662061 | ||||||||
\(363\) | 2.68797e7 | − | 9.78341e6i | 0.0294952 | − | 0.0107354i | ||||
\(364\) | −5.05325e7 | + | 2.86584e8i | −0.0549182 | + | 0.311456i | ||||
\(365\) | −4.96114e8 | + | 4.16289e8i | −0.534019 | + | 0.448095i | ||||
\(366\) | −4.89443e8 | − | 4.10691e8i | −0.521817 | − | 0.437856i | ||||
\(367\) | 2.93809e7 | + | 1.66627e8i | 0.0310266 | + | 0.175960i | 0.996383 | − | 0.0849736i | \(-0.0270806\pi\) |
−0.965357 | + | 0.260934i | \(0.915969\pi\) | |||||||
\(368\) | −1.53736e8 | − | 2.66279e8i | −0.160808 | − | 0.278528i | ||||
\(369\) | −1.18730e8 | + | 2.05646e8i | −0.123018 | + | 0.213073i | ||||
\(370\) | 8.51629e7 | + | 3.09968e7i | 0.0874066 | + | 0.0318134i | ||||
\(371\) | 4.18680e7 | + | 1.52387e7i | 0.0425670 | + | 0.0154931i | ||||
\(372\) | 9.70939e7 | − | 1.68172e8i | 0.0977894 | − | 0.169376i | ||||
\(373\) | −8.20515e7 | − | 1.42117e8i | −0.0818663 | − | 0.141797i | 0.822185 | − | 0.569220i | \(-0.192755\pi\) |
−0.904052 | + | 0.427423i | \(0.859421\pi\) | |||||||
\(374\) | −1.76923e8 | − | 1.00338e9i | −0.174877 | − | 0.991776i | ||||
\(375\) | −4.84144e8 | − | 4.06245e8i | −0.474094 | − | 0.397812i | ||||
\(376\) | −3.53073e8 | + | 2.96264e8i | −0.342537 | + | 0.287423i | ||||
\(377\) | −6.03595e8 | + | 3.42316e9i | −0.580165 | + | 3.29028i | ||||
\(378\) | 2.45879e8 | − | 8.94928e7i | 0.234154 | − | 0.0852250i | ||||
\(379\) | 5.28901e6 | 0.00499042 | 0.00249521 | − | 0.999997i | \(-0.499206\pi\) | ||||
0.00249521 | + | 0.999997i | \(0.499206\pi\) | |||||||
\(380\) | 3.09293e8 | − | 8.78442e7i | 0.289153 | − | 0.0821241i | ||||
\(381\) | −1.19189e9 | −1.10407 | ||||||||
\(382\) | 6.00542e8 | − | 2.18580e8i | 0.551216 | − | 0.200626i | ||||
\(383\) | −3.39168e8 | + | 1.92352e9i | −0.308474 | + | 1.74944i | 0.298209 | + | 0.954501i | \(0.403611\pi\) |
−0.606683 | + | 0.794944i | \(0.707500\pi\) | |||||||
\(384\) | 4.72005e7 | − | 3.96059e7i | 0.0425390 | − | 0.0356945i | ||||
\(385\) | 1.75622e8 | + | 1.47364e8i | 0.156843 | + | 0.131607i | ||||
\(386\) | 1.87329e8 | + | 1.06240e9i | 0.165787 | + | 0.940224i | ||||
\(387\) | 8.56688e6 | + | 1.48383e7i | 0.00751336 | + | 0.0130135i | ||||
\(388\) | −4.10851e8 | + | 7.11615e8i | −0.357086 | + | 0.618492i | ||||
\(389\) | −2.20999e8 | − | 8.04372e7i | −0.190356 | − | 0.0692841i | 0.245083 | − | 0.969502i | \(-0.421185\pi\) |
−0.435439 | + | 0.900218i | \(0.643407\pi\) | |||||||
\(390\) | 5.32202e8 | + | 1.93706e8i | 0.454308 | + | 0.165355i | ||||
\(391\) | 1.11095e9 | − | 1.92422e9i | 0.939886 | − | 1.62793i | ||||
\(392\) | 1.85087e8 | + | 3.20581e8i | 0.155194 | + | 0.268804i | ||||
\(393\) | 3.37606e7 | + | 1.91466e8i | 0.0280567 | + | 0.159117i | ||||
\(394\) | −5.70433e8 | − | 4.78650e8i | −0.469859 | − | 0.394259i | ||||
\(395\) | 4.48718e8 | − | 3.76519e8i | 0.366339 | − | 0.307395i | ||||
\(396\) | −6.33007e7 | + | 3.58996e8i | −0.0512242 | + | 0.290507i | ||||
\(397\) | 1.40299e9 | − | 5.10647e8i | 1.12535 | − | 0.409594i | 0.288748 | − | 0.957405i | \(-0.406761\pi\) |
0.836602 | + | 0.547811i | \(0.184539\pi\) | |||||||
\(398\) | −1.27074e9 | −1.01033 | ||||||||
\(399\) | −2.25753e8 | + | 1.63150e8i | −0.177921 | + | 0.128583i | ||||
\(400\) | −2.04347e8 | −0.159646 | ||||||||
\(401\) | −2.28031e9 | + | 8.29966e8i | −1.76599 | + | 0.642769i | −1.00000 | 7.95384e-5i | \(-0.999975\pi\) | |
−0.765993 | + | 0.642849i | \(0.777752\pi\) | |||||||
\(402\) | −4.17549e7 | + | 2.36804e8i | −0.0320565 | + | 0.181801i | ||||
\(403\) | 1.13442e9 | − | 9.51889e8i | 0.863386 | − | 0.724467i | ||||
\(404\) | −3.90256e8 | − | 3.27464e8i | −0.294452 | − | 0.247075i | ||||
\(405\) | −3.95406e6 | − | 2.24246e7i | −0.00295768 | − | 0.0167738i | ||||
\(406\) | −3.07452e8 | − | 5.32522e8i | −0.228000 | − | 0.394908i | ||||
\(407\) | 1.45041e8 | − | 2.51219e8i | 0.106638 | − | 0.184702i | ||||
\(408\) | 4.18405e8 | + | 1.52287e8i | 0.304990 | + | 0.111007i | ||||
\(409\) | 1.63646e9 | + | 5.95623e8i | 1.18270 | + | 0.430467i | 0.857154 | − | 0.515060i | \(-0.172230\pi\) |
0.325544 | + | 0.945527i | \(0.394453\pi\) | |||||||
\(410\) | 1.20569e8 | − | 2.08831e8i | 0.0863956 | − | 0.149642i | ||||
\(411\) | −7.85818e8 | − | 1.36108e9i | −0.558310 | − | 0.967021i | ||||
\(412\) | 1.69276e8 | + | 9.60014e8i | 0.119249 | + | 0.676297i | ||||
\(413\) | −3.16389e8 | − | 2.65482e8i | −0.221002 | − | 0.185443i | ||||
\(414\) | −6.08980e8 | + | 5.10995e8i | −0.421796 | + | 0.353928i | ||||
\(415\) | 5.41201e6 | − | 3.06930e7i | 0.00371698 | − | 0.0210801i | ||||
\(416\) | 4.41546e8 | − | 1.60709e8i | 0.300711 | − | 0.109450i | ||||
\(417\) | 8.63343e8 | 0.583052 | ||||||||
\(418\) | −1.04991e8 | − | 1.02377e9i | −0.0703126 | − | 0.685621i | ||||
\(419\) | −1.48757e9 | −0.987935 | −0.493967 | − | 0.869480i | \(-0.664454\pi\) | ||||
−0.493967 | + | 0.869480i | \(0.664454\pi\) | |||||||
\(420\) | −9.41473e7 | + | 3.42668e7i | −0.0620063 | + | 0.0225684i | ||||
\(421\) | 2.75783e8 | − | 1.56404e9i | 0.180127 | − | 1.02155i | −0.751930 | − | 0.659243i | \(-0.770877\pi\) |
0.932058 | − | 0.362310i | \(-0.118012\pi\) | |||||||
\(422\) | 4.54773e8 | − | 3.81600e8i | 0.294578 | − | 0.247181i | ||||
\(423\) | 9.12868e8 | + | 7.65987e8i | 0.586431 | + | 0.492074i | ||||
\(424\) | −1.24927e7 | − | 7.08495e7i | −0.00795930 | − | 0.0451394i | ||||
\(425\) | −7.38340e8 | − | 1.27884e9i | −0.466547 | − | 0.808082i | ||||
\(426\) | −2.91597e8 | + | 5.05061e8i | −0.182747 | + | 0.316527i | ||||
\(427\) | 8.09957e8 | + | 2.94800e8i | 0.503459 | + | 0.183244i | ||||
\(428\) | 1.28671e9 | + | 4.68325e8i | 0.793283 | + | 0.288731i | ||||
\(429\) | 9.06396e8 | − | 1.56992e9i | 0.554265 | − | 0.960015i | ||||
\(430\) | −8.69958e6 | − | 1.50681e7i | −0.00527665 | − | 0.00913943i | ||||
\(431\) | 1.88839e8 | + | 1.07096e9i | 0.113611 | + | 0.644321i | 0.987428 | + | 0.158067i | \(0.0505261\pi\) |
−0.873817 | + | 0.486255i | \(0.838363\pi\) | |||||||
\(432\) | −3.23653e8 | − | 2.71577e8i | −0.193146 | − | 0.162069i | ||||
\(433\) | 1.14075e9 | − | 9.57204e8i | 0.675279 | − | 0.566626i | −0.239344 | − | 0.970935i | \(-0.576932\pi\) |
0.914623 | + | 0.404309i | \(0.132488\pi\) | |||||||
\(434\) | −4.54904e7 | + | 2.57989e8i | −0.0267120 | + | 0.151491i | ||||
\(435\) | −1.12456e9 | + | 4.09307e8i | −0.655044 | + | 0.238417i | ||||
\(436\) | −2.42699e7 | −0.0140238 | ||||||||
\(437\) | 1.25970e9 | − | 1.85745e9i | 0.722073 | − | 1.06471i | ||||
\(438\) | −9.05905e8 | −0.515137 | ||||||||
\(439\) | −1.31142e9 | + | 4.77318e8i | −0.739802 | + | 0.269266i | −0.684308 | − | 0.729193i | \(-0.739896\pi\) |
−0.0554942 | + | 0.998459i | \(0.517673\pi\) | |||||||
\(440\) | 6.42812e7 | − | 3.64557e8i | 0.0359749 | − | 0.204024i | ||||
\(441\) | 7.33168e8 | − | 6.15201e8i | 0.407070 | − | 0.341572i | ||||
\(442\) | 2.60113e9 | + | 2.18260e9i | 1.43279 | + | 1.20226i | ||||
\(443\) | −2.53750e8 | − | 1.43909e9i | −0.138673 | − | 0.786456i | −0.972231 | − | 0.234024i | \(-0.924811\pi\) |
0.833557 | − | 0.552433i | \(-0.186300\pi\) | |||||||
\(444\) | 6.33854e7 | + | 1.09787e8i | 0.0343676 | + | 0.0595264i | ||||
\(445\) | 1.48484e8 | − | 2.57183e8i | 0.0798768 | − | 0.138351i | ||||
\(446\) | 5.66532e7 | + | 2.06201e7i | 0.0302380 | + | 0.0110057i | ||||
\(447\) | 2.30770e8 | + | 8.39933e7i | 0.122209 | + | 0.0444804i | ||||
\(448\) | −4.15615e7 | + | 7.19866e7i | −0.0218382 | + | 0.0378250i | ||||
\(449\) | 8.21193e8 | + | 1.42235e9i | 0.428137 | + | 0.741556i | 0.996708 | − | 0.0810791i | \(-0.0258366\pi\) |
−0.568570 | + | 0.822635i | \(0.692503\pi\) | |||||||
\(450\) | 9.17448e7 | + | 5.20311e8i | 0.0474611 | + | 0.269165i | ||||
\(451\) | −5.91257e8 | − | 4.96123e8i | −0.303500 | − | 0.254666i | ||||
\(452\) | −7.66566e8 | + | 6.43225e8i | −0.390450 | + | 0.327626i | ||||
\(453\) | −3.33794e7 | + | 1.89304e8i | −0.0168708 | + | 0.0956788i | ||||
\(454\) | 2.88461e8 | − | 1.04991e8i | 0.144674 | − | 0.0526571i | ||||
\(455\) | −7.64045e8 | −0.380259 | ||||||||
\(456\) | 4.10403e8 | + | 1.83966e8i | 0.202691 | + | 0.0908574i | ||||
\(457\) | 7.75424e8 | 0.380043 | 0.190021 | − | 0.981780i | \(-0.439144\pi\) | ||||
0.190021 | + | 0.981780i | \(0.439144\pi\) | |||||||
\(458\) | 4.66148e8 | − | 1.69664e8i | 0.226722 | − | 0.0825202i | ||||
\(459\) | 5.30168e8 | − | 3.00673e9i | 0.255899 | − | 1.45128i | ||||
\(460\) | 6.18413e8 | − | 5.18910e8i | 0.296228 | − | 0.248565i | ||||
\(461\) | −3.48481e8 | − | 2.92410e8i | −0.165663 | − | 0.139008i | 0.556187 | − | 0.831057i | \(-0.312264\pi\) |
−0.721850 | + | 0.692049i | \(0.756708\pi\) | |||||||
\(462\) | 5.56864e7 | + | 3.15813e8i | 0.0262726 | + | 0.148999i | ||||
\(463\) | 9.85861e8 | + | 1.70756e9i | 0.461618 | + | 0.799545i | 0.999042 | − | 0.0437669i | \(-0.0139359\pi\) |
−0.537424 | + | 0.843312i | \(0.680603\pi\) | |||||||
\(464\) | −4.96439e8 | + | 8.59857e8i | −0.230703 | + | 0.399589i | ||||
\(465\) | 4.79100e8 | + | 1.74378e8i | 0.220974 | + | 0.0804279i | ||||
\(466\) | −2.01890e9 | − | 7.34820e8i | −0.924197 | − | 0.336380i | ||||
\(467\) | 1.03896e8 | − | 1.79952e8i | 0.0472050 | − | 0.0817614i | −0.841457 | − | 0.540323i | \(-0.818302\pi\) |
0.888662 | + | 0.458562i | \(0.151635\pi\) | |||||||
\(468\) | −6.07439e8 | − | 1.05212e9i | −0.273932 | − | 0.474464i | ||||
\(469\) | −5.63294e7 | − | 3.19460e8i | −0.0252133 | − | 0.142992i | ||||
\(470\) | −9.27008e8 | − | 7.77852e8i | −0.411852 | − | 0.345585i | ||||
\(471\) | −5.76047e8 | + | 4.83361e8i | −0.254030 | + | 0.213156i | ||||
\(472\) | −1.15805e8 | + | 6.56761e8i | −0.0506908 | + | 0.287482i | ||||
\(473\) | −5.23324e7 | + | 1.90474e7i | −0.0227382 | + | 0.00827604i | ||||
\(474\) | 8.19358e8 | 0.353386 | ||||||||
\(475\) | −6.50479e8 | − | 1.34227e9i | −0.278488 | − | 0.574661i | ||||
\(476\) | −6.00674e8 | −0.255279 | ||||||||
\(477\) | −1.74789e8 | + | 6.36180e7i | −0.0737394 | + | 0.0268389i | ||||
\(478\) | −2.95655e7 | + | 1.67675e8i | −0.0123819 | + | 0.0702214i | ||||
\(479\) | 1.63143e9 | − | 1.36893e9i | 0.678255 | − | 0.569124i | −0.237241 | − | 0.971451i | \(-0.576243\pi\) |
0.915496 | + | 0.402327i | \(0.131799\pi\) | |||||||
\(480\) | 1.23927e8 | + | 1.03987e8i | 0.0511471 | + | 0.0429175i | ||||
\(481\) | 1.67875e8 | + | 9.52067e8i | 0.0687826 | + | 0.390085i | ||||
\(482\) | −1.09262e8 | − | 1.89247e8i | −0.0444431 | − | 0.0769776i | ||||
\(483\) | −3.49671e8 | + | 6.05649e8i | −0.141203 | + | 0.244572i | ||||
\(484\) | 5.85519e7 | + | 2.13112e7i | 0.0234738 | + | 0.00854375i | ||||
\(485\) | −2.02730e9 | − | 7.37877e8i | −0.806905 | − | 0.293689i | ||||
\(486\) | −8.86423e8 | + | 1.53533e9i | −0.350279 | + | 0.606701i | ||||
\(487\) | −7.98712e7 | − | 1.38341e8i | −0.0313357 | − | 0.0542750i | 0.849932 | − | 0.526892i | \(-0.176643\pi\) |
−0.881268 | + | 0.472617i | \(0.843309\pi\) | |||||||
\(488\) | −2.41677e8 | − | 1.37062e9i | −0.0941382 | − | 0.533884i | ||||
\(489\) | 1.80926e9 | + | 1.51815e9i | 0.699715 | + | 0.587130i | ||||
\(490\) | −7.44525e8 | + | 6.24731e8i | −0.285886 | + | 0.239887i | ||||
\(491\) | −6.28391e8 | + | 3.56378e9i | −0.239577 | + | 1.35871i | 0.593181 | + | 0.805069i | \(0.297872\pi\) |
−0.832757 | + | 0.553638i | \(0.813239\pi\) | |||||||
\(492\) | 3.16961e8 | − | 1.15364e8i | 0.119985 | − | 0.0436711i | ||||
\(493\) | −7.17486e9 | −2.69680 | ||||||||
\(494\) | 2.46116e9 | + | 2.38875e9i | 0.918536 | + | 0.891511i | ||||
\(495\) | −9.57098e8 | −0.354681 | ||||||||
\(496\) | 3.97489e8 | − | 1.44674e8i | 0.146265 | − | 0.0532359i | ||||
\(497\) | 1.36619e8 | − | 7.74805e8i | 0.0499188 | − | 0.283104i | ||||
\(498\) | 3.33962e7 | − | 2.80227e7i | 0.0121170 | − | 0.0101674i | ||||
\(499\) | 2.65049e9 | + | 2.22403e9i | 0.954937 | + | 0.801287i | 0.980122 | − | 0.198396i | \(-0.0635731\pi\) |
−0.0251853 | + | 0.999683i | \(0.508018\pi\) | |||||||
\(500\) | −2.39060e8 | − | 1.35578e9i | −0.0855288 | − | 0.485058i | ||||
\(501\) | 3.33207e8 | + | 5.77131e8i | 0.118381 | + | 0.205042i | ||||
\(502\) | 1.50855e9 | − | 2.61289e9i | 0.532228 | − | 0.921845i | ||||
\(503\) | −4.73216e8 | − | 1.72237e8i | −0.165795 | − | 0.0603445i | 0.257789 | − | 0.966201i | \(-0.417006\pi\) |
−0.423584 | + | 0.905857i | \(0.639228\pi\) | |||||||
\(504\) | 2.01953e8 | + | 7.35048e7i | 0.0702656 | + | 0.0255746i | ||||
\(505\) | 6.68781e8 | − | 1.15836e9i | 0.231081 | − | 0.400244i | ||||
\(506\) | −1.29197e9 | − | 2.23775e9i | −0.443328 | − | 0.767866i | ||||
\(507\) | 7.28952e8 | + | 4.13409e9i | 0.248411 | + | 1.40881i | ||||
\(508\) | −1.98887e9 | − | 1.66886e9i | −0.673106 | − | 0.564803i | ||||
\(509\) | 1.45463e9 | − | 1.22058e9i | 0.488924 | − | 0.410256i | −0.364716 | − | 0.931119i | \(-0.618834\pi\) |
0.853641 | + | 0.520863i | \(0.174390\pi\) | |||||||
\(510\) | −2.03002e8 | + | 1.15128e9i | −0.0677647 | + | 0.384313i | ||||
\(511\) | 1.14841e9 | − | 4.17986e8i | 0.380735 | − | 0.138576i | ||||
\(512\) | 1.34218e8 | 0.0441942 | ||||||||
\(513\) | 7.53617e8 | − | 2.99042e9i | 0.246456 | − | 0.977961i | ||||
\(514\) | −2.54026e9 | −0.825101 | ||||||||
\(515\) | −2.40508e9 | + | 8.75379e8i | −0.775898 | + | 0.282404i | ||||
\(516\) | 4.22623e6 | − | 2.39681e7i | 0.00135419 | − | 0.00767998i | ||||
\(517\) | −2.96716e9 | + | 2.48974e9i | −0.944329 | + | 0.792386i | ||||
\(518\) | −1.31009e8 | − | 1.09930e8i | −0.0414140 | − | 0.0347505i | ||||
\(519\) | 4.24977e8 | + | 2.41016e9i | 0.133438 | + | 0.756764i | ||||
\(520\) | 6.16848e8 | + | 1.06841e9i | 0.192383 | + | 0.333217i | ||||
\(521\) | −1.20876e9 | + | 2.09364e9i | −0.374463 | + | 0.648588i | −0.990246 | − | 0.139327i | \(-0.955506\pi\) |
0.615784 | + | 0.787915i | \(0.288839\pi\) | |||||||
\(522\) | 2.41226e9 | + | 8.77992e8i | 0.742297 | + | 0.270174i | ||||
\(523\) | 3.44007e9 | + | 1.25208e9i | 1.05151 | + | 0.382717i | 0.809231 | − | 0.587491i | \(-0.199884\pi\) |
0.242275 | + | 0.970208i | \(0.422106\pi\) | |||||||
\(524\) | −2.11752e8 | + | 3.66765e8i | −0.0642936 | + | 0.111360i | ||||
\(525\) | 2.32393e8 | + | 4.02516e8i | 0.0700914 | + | 0.121402i | ||||
\(526\) | −2.93756e8 | − | 1.66597e9i | −0.0880108 | − | 0.499134i | ||||
\(527\) | 2.34159e9 | + | 1.96483e9i | 0.696905 | + | 0.584773i | ||||
\(528\) | 3.96663e8 | − | 3.32840e8i | 0.117274 | − | 0.0984049i | ||||
\(529\) | 3.87263e8 | − | 2.19628e9i | 0.113739 | − | 0.645048i | ||||
\(530\) | 1.77496e8 | − | 6.46034e7i | 0.0517874 | − | 0.0188491i | ||||
\(531\) | 1.72425e9 | 0.499768 | ||||||||
\(532\) | −6.05148e8 | − | 4.38511e7i | −0.174249 | − | 0.0126267i | ||||
\(533\) | 2.57227e9 | 0.735820 | ||||||||
\(534\) | 3.90347e8 | − | 1.42075e8i | 0.110932 | − | 0.0403760i | ||||
\(535\) | −6.24287e8 | + | 3.54050e9i | −0.176257 | + | 0.999602i | ||||
\(536\) | −4.01244e8 | + | 3.36683e8i | −0.112546 | + | 0.0944376i | ||||
\(537\) | −2.39757e9 | − | 2.01180e9i | −0.668132 | − | 0.560629i | ||||
\(538\) | 3.53962e8 | + | 2.00742e9i | 0.0979984 | + | 0.555777i | ||||
\(539\) | 1.55544e9 | + | 2.69409e9i | 0.427850 | + | 0.741058i | ||||
\(540\) | 5.54643e8 | − | 9.60670e8i | 0.151578 | − | 0.262540i | ||||
\(541\) | −5.46580e9 | − | 1.98939e9i | −1.48410 | − | 0.540169i | −0.532212 | − | 0.846611i | \(-0.678639\pi\) |
−0.951889 | + | 0.306442i | \(0.900861\pi\) | |||||||
\(542\) | 3.49613e9 | + | 1.27249e9i | 0.943170 | + | 0.343286i | ||||
\(543\) | 1.09729e9 | − | 1.90056e9i | 0.294118 | − | 0.509427i | ||||
\(544\) | 4.84951e8 | + | 8.39959e8i | 0.129152 | + | 0.223698i | ||||
\(545\) | −1.10651e7 | − | 6.27534e7i | −0.00292798 | − | 0.0166054i | ||||
\(546\) | −8.18705e8 | − | 6.86975e8i | −0.215255 | − | 0.180620i | ||||
\(547\) | −5.14735e8 | + | 4.31914e8i | −0.134471 | + | 0.112834i | −0.707542 | − | 0.706671i | \(-0.750196\pi\) |
0.573072 | + | 0.819505i | \(0.305752\pi\) | |||||||
\(548\) | 5.94483e8 | − | 3.37148e9i | 0.154315 | − | 0.875162i | ||||
\(549\) | −3.38138e9 | + | 1.23072e9i | −0.872149 | + | 0.317436i | ||||
\(550\) | −1.71729e9 | −0.440123 | ||||||||
\(551\) | −7.22830e9 | − | 5.23788e8i | −1.84080 | − | 0.133390i | ||||
\(552\) | 1.12922e9 | 0.285754 | ||||||||
\(553\) | −1.03869e9 | + | 3.78054e8i | −0.261186 | + | 0.0950639i | ||||
\(554\) | 1.99414e8 | − | 1.13093e9i | 0.0498277 | − | 0.282587i | ||||
\(555\) | −2.54971e8 | + | 2.13946e8i | −0.0633091 | + | 0.0531226i | ||||
\(556\) | 1.44064e9 | + | 1.20884e9i | 0.355462 | + | 0.298268i | ||||
\(557\) | −7.34856e8 | − | 4.16758e9i | −0.180181 | − | 1.02186i | −0.931992 | − | 0.362479i | \(-0.881930\pi\) |
0.751811 | − | 0.659379i | \(-0.229181\pi\) | |||||||
\(558\) | −5.46830e8 | − | 9.47137e8i | −0.133239 | − | 0.230777i | ||||
\(559\) | 9.28003e7 | − | 1.60735e8i | 0.0224703 | − | 0.0389196i | ||||
\(560\) | −2.05081e8 | − | 7.46433e7i | −0.0493477 | − | 0.0179611i | ||||
\(561\) | 3.51619e9 | + | 1.27979e9i | 0.840817 | + | 0.306033i | ||||
\(562\) | 8.34468e8 | − | 1.44534e9i | 0.198304 | − | 0.343473i | ||||
\(563\) | 1.08227e9 | + | 1.87455e9i | 0.255598 | + | 0.442709i | 0.965058 | − | 0.262037i | \(-0.0843943\pi\) |
−0.709460 | + | 0.704746i | \(0.751061\pi\) | |||||||
\(564\) | −2.93937e8 | − | 1.66700e9i | −0.0689886 | − | 0.391254i | ||||
\(565\) | −2.01265e9 | − | 1.68881e9i | −0.469460 | − | 0.393924i | ||||
\(566\) | 1.75417e9 | − | 1.47192e9i | 0.406644 | − | 0.341214i | ||||
\(567\) | −7.46150e6 | + | 4.23163e7i | −0.00171904 | + | 0.00974915i | ||||
\(568\) | −1.19376e9 | + | 4.34492e8i | −0.273336 | + | 0.0994862i | ||||
\(569\) | 3.26396e9 | 0.742766 | 0.371383 | − | 0.928480i | \(-0.378884\pi\) | ||||
0.371383 | + | 0.928480i | \(0.378884\pi\) | |||||||
\(570\) | −2.88560e8 | + | 1.14503e9i | −0.0652642 | + | 0.258974i | ||||
\(571\) | −3.01082e9 | −0.676797 | −0.338398 | − | 0.941003i | \(-0.609885\pi\) | ||||
−0.338398 | + | 0.941003i | \(0.609885\pi\) | |||||||
\(572\) | 3.71066e9 | − | 1.35057e9i | 0.829019 | − | 0.301738i | ||||
\(573\) | −4.07569e8 | + | 2.31144e9i | −0.0905023 | + | 0.513264i | ||||
\(574\) | −3.48579e8 | + | 2.92493e8i | −0.0769326 | + | 0.0645541i | ||||
\(575\) | −2.86886e9 | − | 2.40726e9i | −0.629320 | − | 0.528062i | ||||
\(576\) | −6.02592e7 | − | 3.41747e8i | −0.0131385 | − | 0.0745119i | ||||
\(577\) | 2.44058e9 | + | 4.22720e9i | 0.528904 | + | 0.916089i | 0.999432 | + | 0.0337038i | \(0.0107303\pi\) |
−0.470528 | + | 0.882385i | \(0.655936\pi\) | |||||||
\(578\) | −1.86306e9 | + | 3.22691e9i | −0.401309 | + | 0.695088i | ||||
\(579\) | −3.72301e9 | − | 1.35507e9i | −0.797112 | − | 0.290125i | ||||
\(580\) | −2.44963e9 | − | 8.91591e8i | −0.521317 | − | 0.189744i | ||||
\(581\) | −2.94064e7 | + | 5.09333e7i | −0.00622049 | + | 0.0107742i | ||||
\(582\) | −1.50889e9 | − | 2.61347e9i | −0.317268 | − | 0.549525i | ||||
\(583\) | −1.04986e8 | − | 5.95404e8i | −0.0219427 | − | 0.124443i | ||||
\(584\) | −1.51166e9 | − | 1.26843e9i | −0.314057 | − | 0.263525i | ||||
\(585\) | 2.44346e9 | − | 2.05031e9i | 0.504614 | − | 0.423422i | ||||
\(586\) | −5.98002e7 | + | 3.39144e8i | −0.0122761 | + | 0.0696213i | ||||
\(587\) | 6.04362e9 | − | 2.19970e9i | 1.23329 | − | 0.448879i | 0.358564 | − | 0.933505i | \(-0.383266\pi\) |
0.874722 | + | 0.484626i | \(0.161044\pi\) | |||||||
\(588\) | −1.35950e9 | −0.275778 | ||||||||
\(589\) | 2.21559e9 | + | 2.15040e9i | 0.446772 | + | 0.433627i | ||||
\(590\) | −1.75095e9 | −0.350988 | ||||||||
\(591\) | 2.56986e9 | − | 9.35353e8i | 0.512098 | − | 0.186389i | ||||
\(592\) | −4.79520e7 | + | 2.71949e8i | −0.00949905 | + | 0.0538718i | ||||
\(593\) | 1.29789e9 | − | 1.08906e9i | 0.255592 | − | 0.214468i | −0.505984 | − | 0.862543i | \(-0.668870\pi\) |
0.761576 | + | 0.648076i | \(0.224426\pi\) | |||||||
\(594\) | −2.71991e9 | − | 2.28228e9i | −0.532479 | − | 0.446803i | ||||
\(595\) | −2.73859e8 | − | 1.55313e9i | −0.0532989 | − | 0.302273i | ||||
\(596\) | 2.67473e8 | + | 4.63277e8i | 0.0517509 | + | 0.0896353i | ||||
\(597\) | 2.33345e9 | − | 4.04165e9i | 0.448836 | − | 0.777407i | ||||
\(598\) | 8.09211e9 | + | 2.94529e9i | 1.54742 | + | 0.563214i | ||||
\(599\) | 3.83450e9 | + | 1.39564e9i | 0.728978 | + | 0.265326i | 0.679732 | − | 0.733460i | \(-0.262096\pi\) |
0.0492457 | + | 0.998787i | \(0.484318\pi\) | |||||||
\(600\) | 3.75242e8 | − | 6.49938e8i | 0.0709222 | − | 0.122841i | ||||
\(601\) | −1.57194e8 | − | 2.72268e8i | −0.0295376 | − | 0.0511606i | 0.850879 | − | 0.525362i | \(-0.176070\pi\) |
−0.880416 | + | 0.474202i | \(0.842737\pi\) | |||||||
\(602\) | 5.70139e6 | + | 3.23342e7i | 0.00106511 | + | 0.00604052i | ||||
\(603\) | 1.03741e9 | + | 8.70491e8i | 0.192682 | + | 0.161679i | ||||
\(604\) | −3.20759e8 | + | 2.69149e8i | −0.0592311 | + | 0.0497008i | ||||
\(605\) | −2.84082e7 | + | 1.61111e8i | −0.00521555 | + | 0.0295789i | ||||
\(606\) | 1.75814e9 | − | 6.39912e8i | 0.320923 | − | 0.116806i | ||||
\(607\) | 9.77776e9 | 1.77451 | 0.887256 | − | 0.461278i | \(-0.152609\pi\) | ||||
0.887256 | + | 0.461278i | \(0.152609\pi\) | |||||||
\(608\) | 4.27243e8 | + | 8.81618e8i | 0.0770926 | + | 0.159081i | ||||
\(609\) | 2.25829e9 | 0.405153 | ||||||||
\(610\) | 3.43375e9 | − | 1.24978e9i | 0.612512 | − | 0.222936i | ||||
\(611\) | 2.24156e9 | − | 1.27125e10i | 0.397564 | − | 2.25470i | ||||
\(612\) | 1.92099e9 | − | 1.61190e9i | 0.338762 | − | 0.284255i | ||||
\(613\) | −6.66891e9 | − | 5.59588e9i | −1.16935 | − | 0.981198i | −0.169356 | − | 0.985555i | \(-0.554169\pi\) |
−0.999991 | + | 0.00435671i | \(0.998613\pi\) | |||||||
\(614\) | 1.28014e9 | + | 7.26003e9i | 0.223187 | + | 1.26575i | ||||
\(615\) | 4.42801e8 | + | 7.66953e8i | 0.0767618 | + | 0.132955i | ||||
\(616\) | −3.49274e8 | + | 6.04960e8i | −0.0602052 | + | 0.104278i | ||||
\(617\) | 3.50043e9 | + | 1.27405e9i | 0.599961 | + | 0.218368i | 0.624105 | − | 0.781341i | \(-0.285464\pi\) |
−0.0241440 | + | 0.999708i | \(0.507686\pi\) | |||||||
\(618\) | −3.36422e9 | − | 1.22448e9i | −0.573357 | − | 0.208685i | ||||
\(619\) | −4.31887e9 | + | 7.48051e9i | −0.731902 | + | 1.26769i | 0.224167 | + | 0.974551i | \(0.428034\pi\) |
−0.956069 | + | 0.293141i | \(0.905299\pi\) | |||||||
\(620\) | 5.55300e8 | + | 9.61807e8i | 0.0935743 | + | 0.162075i | ||||
\(621\) | −1.34457e9 | − | 7.62541e9i | −0.225300 | − | 1.27774i | ||||
\(622\) | −1.39750e9 | − | 1.17264e9i | −0.232855 | − | 0.195389i | ||||
\(623\) | −4.29287e8 | + | 3.60214e8i | −0.0711278 | + | 0.0596833i | ||||
\(624\) | −2.99663e8 | + | 1.69947e9i | −0.0493727 | + | 0.280006i | ||||
\(625\) | −2.65980e8 | + | 9.68088e7i | −0.0435781 | + | 0.0158611i | ||||
\(626\) | −2.00384e9 | −0.326477 | ||||||||
\(627\) | 3.44895e9 | + | 1.54601e9i | 0.558792 | + | 0.250482i | ||||
\(628\) | −1.63803e9 | −0.263914 | ||||||||
\(629\) | −1.87517e9 | + | 6.82505e8i | −0.300443 | + | 0.109352i | ||||
\(630\) | −9.79834e7 | + | 5.55691e8i | −0.0156121 | + | 0.0885405i | ||||
\(631\) | −8.99533e9 | + | 7.54798e9i | −1.42533 | + | 1.19599i | −0.476915 | + | 0.878949i | \(0.658245\pi\) |
−0.948411 | + | 0.317042i | \(0.897310\pi\) | |||||||
\(632\) | 1.36724e9 | + | 1.14725e9i | 0.215444 | + | 0.180779i | ||||
\(633\) | 3.78603e8 | + | 2.14716e9i | 0.0593295 | + | 0.336474i | ||||
\(634\) | −3.39787e9 | − | 5.88528e9i | −0.529534 | − | 0.917180i | ||||
\(635\) | 3.40833e9 | − | 5.90339e9i | 0.528242 | − | 0.914942i | ||||
\(636\) | 2.48281e8 | + | 9.03670e7i | 0.0382687 | + | 0.0139287i | ||||
\(637\) | −9.74232e9 | − | 3.54592e9i | −1.49339 | − | 0.543551i | ||||
\(638\) | −4.17197e9 | + | 7.22606e9i | −0.636017 | + | 1.10161i | ||||
\(639\) | 1.64226e9 | + | 2.84449e9i | 0.248995 | + | 0.431272i | ||||
\(640\) | 6.11925e7 | + | 3.47040e8i | 0.00922717 | + | 0.0523299i | ||||
\(641\) | 4.23237e9 | + | 3.55138e9i | 0.634717 | + | 0.532591i | 0.902391 | − | 0.430919i | \(-0.141810\pi\) |
−0.267674 | + | 0.963510i | \(0.586255\pi\) | |||||||
\(642\) | −3.85232e9 | + | 3.23248e9i | −0.574579 | + | 0.482129i | ||||
\(643\) | 1.84849e9 | − | 1.04833e10i | 0.274207 | − | 1.55511i | −0.467262 | − | 0.884119i | \(-0.654759\pi\) |
0.741469 | − | 0.670987i | \(-0.234130\pi\) | |||||||
\(644\) | −1.43151e9 | + | 5.21025e8i | −0.211199 | + | 0.0768703i | ||||
\(645\) | 6.39000e7 | 0.00937653 | ||||||||
\(646\) | −3.97363e9 | + | 5.85920e9i | −0.579928 | + | 0.855115i | ||||
\(647\) | 1.06696e10 | 1.54876 | 0.774381 | − | 0.632719i | \(-0.218061\pi\) | ||||
0.774381 | + | 0.632719i | \(0.218061\pi\) | |||||||
\(648\) | 6.51975e7 | − | 2.37299e7i | 0.00941279 | − | 0.00342597i | ||||
\(649\) | −9.73199e8 | + | 5.51929e9i | −0.139748 | + | 0.792550i | ||||
\(650\) | 4.38422e9 | − | 3.67880e9i | 0.626175 | − | 0.525423i | ||||
\(651\) | −7.37016e8 | − | 6.18430e8i | −0.104699 | − | 0.0878531i | ||||
\(652\) | 8.93378e8 | + | 5.06660e9i | 0.126232 | + | 0.715896i | ||||
\(653\) | −9.30471e8 | − | 1.61162e9i | −0.130770 | − | 0.226499i | 0.793204 | − | 0.608956i | \(-0.208411\pi\) |
−0.923973 | + | 0.382457i | \(0.875078\pi\) | |||||||
\(654\) | 4.45667e7 | − | 7.71918e7i | 0.00623001 | − | 0.0107907i | ||||
\(655\) | −1.04487e9 | − | 3.80301e8i | −0.145284 | − | 0.0528789i | ||||
\(656\) | 6.90435e8 | + | 2.51298e8i | 0.0954903 | + | 0.0347556i | ||||
\(657\) | −2.55101e9 | + | 4.41848e9i | −0.350941 | + | 0.607847i | ||||
\(658\) | 1.14178e9 | + | 1.97762e9i | 0.156240 | + | 0.270615i | ||||
\(659\) | 1.90870e9 | + | 1.08248e10i | 0.259800 | + | 1.47340i | 0.783445 | + | 0.621462i | \(0.213461\pi\) |
−0.523645 | + | 0.851937i | \(0.675428\pi\) | |||||||
\(660\) | 1.04145e9 | + | 8.73884e8i | 0.141006 | + | 0.118318i | ||||
\(661\) | −2.43022e9 | + | 2.03920e9i | −0.327296 | + | 0.274634i | −0.791597 | − | 0.611043i | \(-0.790750\pi\) |
0.464301 | + | 0.885678i | \(0.346306\pi\) | |||||||
\(662\) | 2.19793e8 | − | 1.24651e9i | 0.0294449 | − | 0.166990i | ||||
\(663\) | −1.17183e10 | + | 4.26513e9i | −1.56160 | + | 0.568375i | ||||
\(664\) | 9.49643e7 | 0.0125884 | ||||||||
\(665\) | −1.62515e8 | − | 1.58469e9i | −0.0214298 | − | 0.208963i | ||||
\(666\) | 7.13969e8 | 0.0936525 | ||||||||
\(667\) | −1.70989e10 | + | 6.22349e9i | −2.23114 | + | 0.812070i | ||||
\(668\) | −2.52076e8 | + | 1.42959e9i | −0.0327200 | + | 0.185564i | ||||
\(669\) | −1.69616e8 | + | 1.42324e8i | −0.0219015 | + | 0.0183776i | ||||
\(670\) | −1.05348e9 | − | 8.83975e8i | −0.135321 | − | 0.113548i | ||||
\(671\) | −2.03100e9 | − | 1.15184e10i | −0.259526 | − | 1.47185i | ||||
\(672\) | −1.52638e8 | − | 2.64377e8i | −0.0194031 | − | 0.0336072i | ||||
\(673\) | 3.67767e9 | − | 6.36991e9i | 0.465072 | − | 0.805528i | −0.534133 | − | 0.845401i | \(-0.679362\pi\) |
0.999205 | + | 0.0398722i | \(0.0126951\pi\) | |||||||
\(674\) | −1.14690e9 | − | 4.17438e8i | −0.144283 | − | 0.0525148i | ||||
\(675\) | −4.83570e9 | − | 1.76005e9i | −0.605197 | − | 0.220274i | ||||
\(676\) | −4.57210e9 | + | 7.91911e9i | −0.569249 | + | 0.985969i | ||||
\(677\) | −3.51051e9 | − | 6.08038e9i | −0.434821 | − | 0.753131i | 0.562460 | − | 0.826824i | \(-0.309855\pi\) |
−0.997281 | + | 0.0736929i | \(0.976522\pi\) | |||||||
\(678\) | −6.38174e8 | − | 3.61926e9i | −0.0786384 | − | 0.445981i | ||||
\(679\) | 3.11867e9 | + | 2.61687e9i | 0.382318 | + | 0.320803i | ||||
\(680\) | −1.95074e9 | + | 1.63687e9i | −0.237913 | + | 0.199633i | ||||
\(681\) | −1.95769e8 | + | 1.11026e9i | −0.0237536 | + | 0.134713i | ||||
\(682\) | 3.34041e9 | − | 1.21581e9i | 0.403232 | − | 0.146764i | ||||
\(683\) | −3.55978e9 | −0.427514 | −0.213757 | − | 0.976887i | \(-0.568570\pi\) | ||||
−0.213757 | + | 0.976887i | \(0.568570\pi\) | |||||||
\(684\) | 2.05297e9 | − | 1.48367e9i | 0.245293 | − | 0.177272i | ||||
\(685\) | 8.98850e9 | 1.06849 | ||||||||
\(686\) | 3.68653e9 | − | 1.34179e9i | 0.435997 | − | 0.158690i | ||||
\(687\) | −3.16360e8 | + | 1.79416e9i | −0.0372248 | + | 0.211112i | ||||
\(688\) | 4.06119e7 | − | 3.40775e7i | 0.00475438 | − | 0.00398940i | ||||
\(689\) | 1.54351e9 | + | 1.29516e9i | 0.179780 | + | 0.150853i | ||||
\(690\) | 5.14835e8 | + | 2.91977e9i | 0.0596617 | + | 0.338359i | ||||
\(691\) | 3.81568e9 | + | 6.60894e9i | 0.439945 | + | 0.762007i | 0.997685 | − | 0.0680089i | \(-0.0216646\pi\) |
−0.557740 | + | 0.830016i | \(0.688331\pi\) | |||||||
\(692\) | −2.66552e9 | + | 4.61681e9i | −0.305781 | + | 0.529628i | ||||
\(693\) | 1.69717e9 | + | 6.17719e8i | 0.193713 | + | 0.0705057i | ||||
\(694\) | −8.23103e8 | − | 2.99585e8i | −0.0934751 | − | 0.0340221i | ||||
\(695\) | −2.46882e9 | + | 4.27612e9i | −0.278960 | + | 0.483173i | ||||
\(696\) | −1.82322e9 | − | 3.15791e9i | −0.204978 | − | 0.355032i | ||||
\(697\) | 9.21987e8 | + | 5.22885e9i | 0.103136 | + | 0.584913i | ||||
\(698\) | −4.28802e9 | − | 3.59808e9i | −0.477269 | − | 0.400476i | ||||
\(699\) | 6.04444e9 | − | 5.07189e9i | 0.669401 | − | 0.561694i | ||||
\(700\) | −1.75808e8 | + | 9.97059e8i | −0.0193730 | + | 0.109870i | ||||
\(701\) | −7.08323e9 | + | 2.57809e9i | −0.776638 | + | 0.282673i | −0.699770 | − | 0.714368i | \(-0.746714\pi\) |
−0.0768678 | + | 0.997041i | \(0.524492\pi\) | |||||||
\(702\) | 1.18330e10 | 1.29097 | ||||||||
\(703\) | −1.93896e9 | + | 5.50695e8i | −0.210487 | + | 0.0597816i | ||||
\(704\) | 1.12794e9 | 0.121837 | ||||||||
\(705\) | 4.17627e9 | − | 1.52004e9i | 0.448876 | − | 0.163378i | ||||
\(706\) | 1.67608e8 | − | 9.50554e8i | 0.0179258 | − | 0.101662i | ||||
\(707\) | −1.93353e9 | + | 1.62242e9i | −0.205770 | + | 0.172662i | ||||
\(708\) | −1.87622e9 | − | 1.57433e9i | −0.198686 | − | 0.166717i | ||||
\(709\) | 4.37723e8 | + | 2.48245e9i | 0.0461251 | + | 0.261589i | 0.999146 | − | 0.0413156i | \(-0.0131549\pi\) |
−0.953021 | + | 0.302904i | \(0.902044\pi\) | |||||||
\(710\) | −1.66770e9 | − | 2.88855e9i | −0.174870 | − | 0.302883i | ||||
\(711\) | 2.30730e9 | − | 3.99636e9i | 0.240747 | − | 0.416985i | ||||
\(712\) | 8.50292e8 | + | 3.09481e8i | 0.0882853 | + | 0.0321332i | ||||
\(713\) | 7.28469e9 | + | 2.65141e9i | 0.752658 | + | 0.273945i | ||||
\(714\) | 1.10302e9 | − | 1.91048e9i | 0.113406 | − | 0.196426i | ||||
\(715\) | 5.18386e9 | + | 8.97871e9i | 0.530374 | + | 0.918635i | ||||
\(716\) | −1.18387e9 | − | 6.71408e9i | −0.120534 | − | 0.683583i | ||||
\(717\) | −4.79008e8 | − | 4.01935e8i | −0.0485317 | − | 0.0407229i | ||||
\(718\) | −1.30273e9 | + | 1.09312e9i | −0.131347 | + | 0.110213i | ||||
\(719\) | 3.06721e9 | − | 1.73950e10i | 0.307746 | − | 1.74531i | −0.302545 | − | 0.953135i | \(-0.597836\pi\) |
0.610291 | − | 0.792178i | \(-0.291053\pi\) | |||||||
\(720\) | 8.56164e8 | − | 3.11618e8i | 0.0854857 | − | 0.0311142i | ||||
\(721\) | 4.82978e9 | 0.479903 | ||||||||
\(722\) | −4.43097e9 | + | 5.61275e9i | −0.438145 | + | 0.555003i | ||||
\(723\) | 8.02549e8 | 0.0789746 | ||||||||
\(724\) | 4.49215e9 | − | 1.63501e9i | 0.439915 | − | 0.160116i | ||||
\(725\) | −2.09998e9 | + | 1.19096e10i | −0.204659 | + | 1.16068i | ||||
\(726\) | −1.75300e8 | + | 1.47094e8i | −0.0170022 | + | 0.0142665i | ||||
\(727\) | −4.83137e9 | − | 4.05400e9i | −0.466337 | − | 0.391304i | 0.379119 | − | 0.925348i | \(-0.376227\pi\) |
−0.845456 | + | 0.534044i | \(0.820672\pi\) | |||||||
\(728\) | −4.04260e8 | − | 2.29267e9i | −0.0388330 | − | 0.220233i | ||||
\(729\) | −3.40365e9 | − | 5.89530e9i | −0.325386 | − | 0.563585i | ||||
\(730\) | 2.59053e9 | − | 4.48692e9i | 0.246467 | − | 0.426893i | ||||
\(731\) | 3.60001e8 | + | 1.31030e8i | 0.0340873 | + | 0.0124068i | ||||
\(732\) | 4.80312e9 | + | 1.74819e9i | 0.452621 | + | 0.164741i | ||||
\(733\) | 8.73299e9 | − | 1.51260e10i | 0.819028 | − | 1.41860i | −0.0873706 | − | 0.996176i | \(-0.527846\pi\) |
0.906399 | − | 0.422423i | \(-0.138820\pi\) | |||||||
\(734\) | −6.76792e8 | − | 1.17224e9i | −0.0631711 | − | 0.109416i | ||||
\(735\) | −6.19824e8 | − | 3.51520e9i | −0.0575788 | − | 0.326546i | ||||
\(736\) | 1.88430e9 | + | 1.58112e9i | 0.174212 | + | 0.146181i | ||||
\(737\) | −3.37197e9 | + | 2.82942e9i | −0.310275 | + | 0.260352i | ||||
\(738\) | 3.29876e8 | − | 1.87082e9i | 0.0302101 | − | 0.171330i | ||||
\(739\) | 1.57397e8 | − | 5.72878e7i | 0.0143463 | − | 0.00522163i | −0.334837 | − | 0.942276i | \(-0.608681\pi\) |
0.349183 | + | 0.937054i | \(0.386459\pi\) | |||||||
\(740\) | −7.25028e8 | −0.0657724 | ||||||||
\(741\) | −1.21170e10 | + | 3.44142e9i | −1.09403 | + | 0.310723i | ||||
\(742\) | −3.56440e8 | −0.0320311 | ||||||||
\(743\) | 1.65075e10 | − | 6.00824e9i | 1.47646 | − | 0.537386i | 0.526611 | − | 0.850106i | \(-0.323462\pi\) |
0.949845 | + | 0.312720i | \(0.101240\pi\) | |||||||
\(744\) | −2.69763e8 | + | 1.52990e9i | −0.0240147 | + | 0.136194i | ||||
\(745\) | −1.07593e9 | + | 9.02809e8i | −0.0953313 | + | 0.0799925i | ||||
\(746\) | 1.00568e9 | + | 8.43867e8i | 0.0886899 | + | 0.0744197i | ||||
\(747\) | −4.26357e7 | − | 2.41799e8i | −0.00374241 | − | 0.0212243i | ||||
\(748\) | 4.07543e9 | + | 7.05884e9i | 0.356055 | + | 0.616706i | ||||
\(749\) | 3.39208e9 | − | 5.87526e9i | 0.294971 | − | 0.510906i | ||||
\(750\) | 4.75112e9 | + | 1.72927e9i | 0.411227 | + | 0.149674i | ||||
\(751\) | −1.49818e10 | − | 5.45294e9i | −1.29070 | − | 0.469776i | −0.396742 | − | 0.917930i | \(-0.629859\pi\) |
−0.893956 | + | 0.448154i | \(0.852082\pi\) | |||||||
\(752\) | 1.84362e9 | − | 3.19324e9i | 0.158092 | − | 0.273823i | ||||
\(753\) | 5.54030e9 | + | 9.59609e9i | 0.472880 | + | 0.819052i | ||||
\(754\) | −4.82876e9 | − | 2.73853e10i | −0.410238 | − | 2.32658i | ||||
\(755\) | −8.42166e8 | − | 7.06661e8i | −0.0712169 | − | 0.0597581i | ||||
\(756\) | −1.60354e9 | + | 1.34553e9i | −0.134975 | + | 0.113258i | ||||
\(757\) | 1.07319e8 | − | 6.08634e8i | 0.00899166 | − | 0.0509942i | −0.979982 | − | 0.199087i | \(-0.936202\pi\) |
0.988973 | + | 0.148093i | \(0.0473135\pi\) | |||||||
\(758\) | −3.97603e7 | + | 1.44716e7i | −0.00331595 | + | 0.00120691i | ||||
\(759\) | 9.48974e9 | 0.787786 | ||||||||
\(760\) | −2.08477e9 | + | 1.50665e9i | −0.172270 | + | 0.124499i | ||||
\(761\) | 2.03452e10 | 1.67346 | 0.836730 | − | 0.547615i | \(-0.184464\pi\) | ||||
0.836730 | + | 0.547615i | \(0.184464\pi\) | |||||||
\(762\) | 8.96007e9 | − | 3.26120e9i | 0.733617 | − | 0.267015i | ||||
\(763\) | −2.08804e7 | + | 1.18419e8i | −0.00170178 | + | 0.00965126i | ||||
\(764\) | −3.91653e9 | + | 3.28636e9i | −0.317742 | + | 0.266617i | ||||
\(765\) | 5.04363e9 | + | 4.23211e9i | 0.407313 | + | 0.341776i | ||||
\(766\) | −2.71334e9 | − | 1.53881e10i | −0.218124 | − | 1.23704i | ||||
\(767\) | −9.33891e9 | − | 1.61755e10i | −0.747330 | − | 1.29441i | ||||
\(768\) | −2.46464e8 | + | 4.26888e8i | −0.0196331 | + | 0.0340055i | ||||
\(769\) | −1.38647e10 | − | 5.04634e9i | −1.09943 | − | 0.400161i | −0.272326 | − | 0.962205i | \(-0.587793\pi\) |
−0.827107 | + | 0.562044i | \(0.810015\pi\) | |||||||
\(770\) | −1.72346e9 | − | 6.27287e8i | −0.136045 | − | 0.0495164i | ||||
\(771\) | 4.66467e9 | − | 8.07944e9i | 0.366548 | − | 0.634879i | ||||
\(772\) | −4.31515e9 | − | 7.47405e9i | −0.337548 | − | 0.584650i | ||||
\(773\) | 3.31277e9 | + | 1.87877e10i | 0.257967 | + | 1.46300i | 0.788341 | + | 0.615238i | \(0.210940\pi\) |
−0.530375 | + | 0.847763i | \(0.677949\pi\) | |||||||
\(774\) | −1.05002e8 | − | 8.81069e7i | −0.00813960 | − | 0.00682994i | ||||
\(775\) | 3.94677e9 | − | 3.31173e9i | 0.304569 | − | 0.255564i | ||||
\(776\) | 1.14150e9 | − | 6.47375e9i | 0.0876917 | − | 0.497324i | ||||
\(777\) | 5.90209e8 | − | 2.14819e8i | 0.0451370 | − | 0.0164285i | ||||
\(778\) | 1.88146e9 | 0.143241 | ||||||||
\(779\) | 5.47132e8 | + | 5.33510e9i | 0.0414678 | + | 0.404354i | ||||
\(780\) | −4.53086e9 | −0.341861 | ||||||||
\(781\) | −1.00321e10 | + | 3.65138e9i | −0.753551 | + | 0.274270i | ||||
\(782\) | −3.08663e9 | + | 1.75051e10i | −0.230813 | + | 1.30901i | ||||
\(783\) | −1.91538e10 | + | 1.60720e10i | −1.42590 | + | 1.19647i | ||||
\(784\) | −2.26856e9 | − | 1.90355e9i | −0.168130 | − | 0.141078i | ||||
\(785\) | −7.46809e8 | − | 4.23537e9i | −0.0551018 | − | 0.312498i | ||||
\(786\) | −7.77678e8 | − | 1.34698e9i | −0.0571243 | − | 0.0989422i | ||||
\(787\) | −1.09279e10 | + | 1.89276e10i | −0.799142 | + | 1.38415i | 0.121033 | + | 0.992648i | \(0.461379\pi\) |
−0.920175 | + | 0.391507i | \(0.871954\pi\) | |||||||
\(788\) | 5.59792e9 | + | 2.03748e9i | 0.407554 | + | 0.148337i | ||||
\(789\) | 5.83814e9 | + | 2.12491e9i | 0.423161 | + | 0.154018i | ||||
\(790\) | −2.34304e9 | + | 4.05826e9i | −0.169077 | + | 0.292850i | ||||
\(791\) | 2.47894e9 | + | 4.29366e9i | 0.178094 | + | 0.308468i | ||||
\(792\) | −5.06405e8 | − | 2.87197e9i | −0.0362210 | − | 0.205419i | ||||
\(793\) | 2.98599e10 | + | 2.50555e10i | 2.12634 | + | 1.78421i | ||||
\(794\) | −9.14982e9 | + | 7.67761e9i | −0.648696 | + | 0.544320i | ||||
\(795\) | −1.20461e8 | + | 6.83169e8i | −0.00850280 | + | 0.0482218i | ||||
\(796\) | 9.55280e9 | − | 3.47694e9i | 0.671329 | − | 0.244344i | ||||
\(797\) | −2.03859e10 | −1.42635 | −0.713175 | − | 0.700986i | \(-0.752743\pi\) | ||||
−0.713175 | + | 0.700986i | \(0.752743\pi\) | |||||||
\(798\) | 1.25070e9 | − | 1.84418e9i | 0.0871252 | − | 0.128468i | ||||
\(799\) | 2.66452e10 | 1.84801 | ||||||||
\(800\) | 1.53619e9 | − | 5.59127e8i | 0.106079 | − | 0.0386096i | ||||
\(801\) | 4.06252e8 | − | 2.30397e9i | 0.0279307 | − | 0.158403i | ||||
\(802\) | 1.48714e10 | − | 1.24786e10i | 1.01799 | − | 0.854192i | ||||
\(803\) | −1.27037e10 | − | 1.06596e10i | −0.865814 | − | 0.726504i | ||||
\(804\) | −3.34039e8 | − | 1.89443e9i | −0.0226674 | − | 0.128553i | ||||
\(805\) | −1.99984e9 | − | 3.46383e9i | −0.135117 | − | 0.234030i | ||||
\(806\) | −5.92351e9 | + | 1.02598e10i | −0.398480 | + | 0.690187i | ||||
\(807\) | −7.03470e9 | − | 2.56042e9i | −0.471182 | − | 0.171496i | ||||
\(808\) | 3.82976e9 | + | 1.39392e9i | 0.255406 | + | 0.0929603i | ||||
\(809\) | −1.14852e10 | + | 1.98929e10i | −0.762635 | + | 1.32092i | 0.178853 | + | 0.983876i | \(0.442761\pi\) |
−0.941488 | + | 0.337047i | \(0.890572\pi\) | |||||||
\(810\) | 9.10822e7 | + | 1.57759e8i | 0.00602193 | + | 0.0104303i | ||||
\(811\) | −1.34065e9 | − | 7.60323e9i | −0.0882559 | − | 0.500524i | −0.996606 | − | 0.0823144i | \(-0.973769\pi\) |
0.908350 | − | 0.418210i | \(-0.137342\pi\) | |||||||
\(812\) | 3.76835e9 | + | 3.16202e9i | 0.247004 | + | 0.207261i | ||||
\(813\) | −1.04672e10 | + | 8.78299e9i | −0.683143 | + | 0.573225i | ||||
\(814\) | −4.02978e8 | + | 2.28540e9i | −0.0261876 | + | 0.148517i | ||||
\(815\) | −1.26931e10 | + | 4.61993e9i | −0.821330 | + | 0.298940i | ||||
\(816\) | −3.56206e9 | −0.229501 | ||||||||
\(817\) | 3.53116e8 | + | 1.58287e8i | 0.0226538 | + | 0.0101547i | ||||
\(818\) | −1.39319e10 | −0.889965 | ||||||||
\(819\) | −5.65613e9 | + | 2.05866e9i | −0.359771 | + | 0.130946i | ||||
\(820\) | −3.34985e8 | + | 1.89979e9i | −0.0212167 | + | 0.120326i | ||||
\(821\) | −2.89886e9 | + | 2.43244e9i | −0.182821 | + | 0.153405i | −0.729605 | − | 0.683868i | \(-0.760296\pi\) |
0.546784 | + | 0.837274i | \(0.315852\pi\) | |||||||
\(822\) | 9.63154e9 | + | 8.08182e9i | 0.604845 | + | 0.507526i | ||||
\(823\) | −3.17190e9 | − | 1.79887e10i | −0.198345 | − | 1.12487i | −0.907575 | − | 0.419891i | \(-0.862068\pi\) |
0.709230 | − | 0.704977i | \(-0.249043\pi\) | |||||||
\(824\) | −3.89929e9 | − | 6.75378e9i | −0.242796 | − | 0.420534i | ||||
\(825\) | 3.15346e9 | − | 5.46194e9i | 0.195523 | − | 0.338656i | ||||
\(826\) | 3.10487e9 | + | 1.13008e9i | 0.191696 | + | 0.0697716i | ||||
\(827\) | −1.21526e10 | − | 4.42317e9i | −0.747134 | − | 0.271935i | −0.0597349 | − | 0.998214i | \(-0.519026\pi\) |
−0.687399 | + | 0.726280i | \(0.741248\pi\) | |||||||
\(828\) | 3.17987e9 | − | 5.50769e9i | 0.194672 | − | 0.337181i | ||||
\(829\) | −3.51049e9 | − | 6.08035e9i | −0.214006 | − | 0.370670i | 0.738958 | − | 0.673751i | \(-0.235318\pi\) |
−0.952965 | + | 0.303081i | \(0.901985\pi\) | |||||||
\(830\) | 4.32961e7 | + | 2.45544e8i | 0.00262830 | + | 0.0149058i | ||||
\(831\) | 3.23081e9 | + | 2.71097e9i | 0.195303 | + | 0.163878i | ||||
\(832\) | −2.87961e9 | + | 2.41628e9i | −0.173341 | + | 0.145451i | ||||
\(833\) | 3.71608e9 | − | 2.10749e10i | 0.222755 | − | 1.26331i | ||||
\(834\) | −6.49022e9 | + | 2.36225e9i | −0.387416 | + | 0.141008i | ||||
\(835\) | −3.81135e9 | −0.226556 | ||||||||
\(836\) | 3.59046e9 | + | 7.40894e9i | 0.212534 | + | 0.438565i | ||||
\(837\) | 1.06523e10 | 0.627922 | ||||||||
\(838\) | 1.11829e10 | − | 4.07023e9i | 0.656446 | − | 0.238927i | ||||
\(839\) | 4.07612e8 | − | 2.31168e9i | 0.0238276 | − | 0.135133i | −0.970573 | − | 0.240806i | \(-0.922588\pi\) |
0.994401 | + | 0.105672i | \(0.0336995\pi\) | |||||||
\(840\) | 6.13997e8 | − | 5.15205e8i | 0.0357428 | − | 0.0299918i | ||||
\(841\) | 3.17976e10 | + | 2.66813e10i | 1.84335 | + | 1.54675i | ||||
\(842\) | 2.20626e9 | + | 1.25123e10i | 0.127369 | + | 0.722347i | ||||
\(843\) | 3.06466e9 | + | 5.30815e9i | 0.176192 | + | 0.305173i | ||||
\(844\) | −2.37465e9 | + | 4.11302e9i | −0.135957 | + | 0.235485i | ||||
\(845\) | −2.25606e10 | − | 8.21138e9i | −1.28633 | − | 0.468185i | ||||
\(846\) | −8.95839e9 | − | 3.26059e9i | −0.508667 | − | 0.185140i | ||||
\(847\) | 1.54357e8 | − | 2.67354e8i | 0.00872840 | − | 0.0151180i | ||||
\(848\) | 2.87770e8 | + | 4.98432e8i | 0.0162054 | + | 0.0280686i | ||||
\(849\) | 1.46036e9 | + | 8.28213e9i | 0.0819000 | + | 0.464478i | ||||
\(850\) | 9.04962e9 | + | 7.59353e9i | 0.505433 | + | 0.424109i | ||||
\(851\) | −3.87683e9 | + | 3.25304e9i | −0.215637 | + | 0.180941i | ||||
\(852\) | 8.10165e8 | − | 4.59467e9i | 0.0448781 | − | 0.254517i | ||||
\(853\) | −1.71700e10 | + | 6.24936e9i | −0.947214 | + | 0.344758i | −0.769011 | − | 0.639236i | \(-0.779251\pi\) |
−0.178203 | + | 0.983994i | \(0.557028\pi\) | |||||||
\(854\) | −6.89550e9 | −0.378847 | ||||||||
\(855\) | 4.77223e9 | + | 4.63183e9i | 0.261120 | + | 0.253438i | ||||
\(856\) | −1.09543e10 | −0.596935 | ||||||||
\(857\) | 1.80931e10 | − | 6.58537e9i | 0.981932 | − | 0.357394i | 0.199341 | − | 0.979930i | \(-0.436120\pi\) |
0.782591 | + | 0.622536i | \(0.213898\pi\) | |||||||
\(858\) | −2.51830e9 | + | 1.42820e10i | −0.136114 | + | 0.771941i | ||||
\(859\) | 1.59527e10 | − | 1.33859e10i | 0.858732 | − | 0.720562i | −0.102962 | − | 0.994685i | \(-0.532832\pi\) |
0.961694 | + | 0.274124i | \(0.0883877\pi\) | |||||||
\(860\) | 1.06628e8 | + | 8.94717e7i | 0.00571646 | + | 0.00479668i | ||||
\(861\) | −2.90196e8 | − | 1.64578e9i | −0.0154946 | − | 0.0878742i | ||||
\(862\) | −4.34992e9 | − | 7.53429e9i | −0.231316 | − | 0.400651i | ||||
\(863\) | −2.66952e9 | + | 4.62375e9i | −0.141383 | + | 0.244882i | −0.928017 | − | 0.372537i | \(-0.878488\pi\) |
0.786635 | + | 0.617418i | \(0.211821\pi\) | |||||||
\(864\) | 3.17615e9 | + | 1.15602e9i | 0.167534 | + | 0.0609774i | ||||
\(865\) | −1.31527e10 | − | 4.78720e9i | −0.690971 | − | 0.251493i | ||||
\(866\) | −5.95658e9 | + | 1.03171e10i | −0.311662 | + | 0.539815i | ||||
\(867\) | −6.84226e9 | − | 1.18511e10i | −0.356560 | − | 0.617580i | ||||
\(868\) | −3.63924e8 | − | 2.06391e9i | −0.0188882 | − | 0.107120i | ||||
\(869\) | 1.14900e10 | + | 9.64126e9i | 0.593951 | + | 0.498384i | ||||
\(870\) | 7.33400e9 | − | 6.15396e9i | 0.377593 | − | 0.316838i | ||||
\(871\) | 2.54738e9 | − | 1.44469e10i | 0.130626 | − | 0.740818i | ||||
\(872\) | 1.82450e8 | − | 6.64063e7i | 0.00931828 | − | 0.00339158i | ||||
\(873\) | −1.69960e10 | −0.864564 | ||||||||
\(874\) | −4.38755e9 | + | 1.74102e10i | −0.222296 | + | 0.882091i | ||||
\(875\) | −6.82085e9 | −0.344199 | ||||||||
\(876\) | 6.81018e9 | − | 2.47870e9i | 0.342290 | − | 0.124583i | ||||
\(877\) | 3.92807e9 | − | 2.22772e10i | 0.196644 | − | 1.11522i | −0.713414 | − | 0.700743i | \(-0.752852\pi\) |
0.910058 | − | 0.414481i | \(-0.136037\pi\) | |||||||
\(878\) | 8.55263e9 | − | 7.17651e9i | 0.426451 | − | 0.357835i | ||||
\(879\) | −9.68856e8 | − | 8.12967e8i | −0.0481170 | − | 0.0403749i | ||||
\(880\) | 5.14249e8 | + | 2.91645e9i | 0.0254381 | + | 0.144267i | ||||
\(881\) | −2.54963e9 | − | 4.41608e9i | −0.125621 | − | 0.217581i | 0.796355 | − | 0.604830i | \(-0.206759\pi\) |
−0.921975 | + | 0.387249i | \(0.873426\pi\) | |||||||
\(882\) | −3.82833e9 | + | 6.63087e9i | −0.187875 | + | 0.325410i | ||||
\(883\) | 3.40233e10 | + | 1.23835e10i | 1.66308 | + | 0.605313i | 0.990843 | − | 0.135020i | \(-0.0431099\pi\) |
0.672240 | + | 0.740333i | \(0.265332\pi\) | |||||||
\(884\) | −2.55260e10 | − | 9.29072e9i | −1.24280 | − | 0.452341i | ||||
\(885\) | 3.21527e9 | − | 5.56901e9i | 0.155925 | − | 0.270070i | ||||
\(886\) | 5.84516e9 | + | 1.01241e10i | 0.282344 | + | 0.489034i | ||||
\(887\) | 1.33226e8 | + | 7.55564e8i | 0.00640999 | + | 0.0363529i | 0.987845 | − | 0.155442i | \(-0.0496802\pi\) |
−0.981435 | + | 0.191795i | \(0.938569\pi\) | |||||||
\(888\) | −7.76896e8 | − | 6.51893e8i | −0.0372321 | − | 0.0312415i | ||||
\(889\) | −9.85389e9 | + | 8.26840e9i | −0.470383 | + | 0.394698i | ||||
\(890\) | −4.12545e8 | + | 2.33966e9i | −0.0196158 | + | 0.111247i | ||||
\(891\) | 5.47906e8 | − | 1.99421e8i | 0.0259498 | − | 0.00944496i | ||||
\(892\) | −4.82313e8 | −0.0227537 | ||||||||
\(893\) | 2.68436e10 | + | 1.94518e9i | 1.26142 | + | 0.0914072i | ||||
\(894\) | −1.96464e9 | −0.0919606 | ||||||||
\(895\) | 1.68205e10 | − | 6.12217e9i | 0.784258 | − | 0.285446i | ||||
\(896\) | 1.15473e8 | − | 6.54881e8i | 0.00536294 | − | 0.0304148i | ||||
\(897\) | −2.42272e10 | + | 2.03290e10i | −1.12080 | + | 0.940466i | ||||
\(898\) | −1.00651e10 | − | 8.44564e9i | −0.463823 | − | 0.389193i | ||||
\(899\) | −4.34696e9 | − | 2.46528e10i | −0.199538 | − | 1.13164i | ||||
\(900\) | −2.11335e9 | − | 3.66043e9i | −0.0966324 | − | 0.167372i | ||||
\(901\) | −2.07952e9 | + | 3.60183e9i | −0.0947166 | + | 0.164054i | ||||
\(902\) | 5.80227e9 | + | 2.11185e9i | 0.263254 | + | 0.0958166i | ||||
\(903\) | −1.13310e8 | − | 4.12416e7i | −0.00512109 | − | 0.00186392i | ||||
\(904\) | 4.00272e9 | − | 6.93292e9i | 0.180205 | − | 0.312124i | ||||
\(905\) | 6.27562e9 | + | 1.08697e10i | 0.281440 | + | 0.487469i | ||||
\(906\) | −2.67035e8 | − | 1.51443e9i | −0.0119294 | − | 0.0676552i | ||||
\(907\) | 4.12667e9 | + | 3.46269e9i | 0.183643 | + | 0.154095i | 0.729975 | − | 0.683474i | \(-0.239532\pi\) |
−0.546332 | + | 0.837569i | \(0.683976\pi\) | |||||||
\(908\) | −1.88124e9 | + | 1.57855e9i | −0.0833959 | + | 0.0699775i | ||||
\(909\) | 1.82978e9 | − | 1.03772e10i | 0.0808026 | − | 0.458254i | ||||
\(910\) | 5.74374e9 | − | 2.09055e9i | 0.252668 | − | 0.0919636i | ||||
\(911\) | 4.24709e10 | 1.86113 | 0.930565 | − | 0.366127i | \(-0.119316\pi\) | ||||
0.930565 | + | 0.366127i | \(0.119316\pi\) | |||||||
\(912\) | −3.58859e9 | − | 2.60041e8i | −0.156654 | − | 0.0113517i | ||||
\(913\) | 7.98060e8 | 0.0347047 | ||||||||
\(914\) | −5.82928e9 | + | 2.12168e9i | −0.252524 | + | 0.0919113i | ||||
\(915\) | −2.33038e9 | + | 1.32162e10i | −0.100566 | + | 0.570340i | ||||
\(916\) | −3.04006e9 | + | 2.55091e9i | −0.130692 | + | 0.109663i | ||||
\(917\) | 1.60736e9 | + | 1.34873e9i | 0.0688366 | + | 0.0577607i | ||||
\(918\) | 4.24134e9 | + | 2.40539e10i | 0.180948 | + | 1.02621i | ||||
\(919\) | −2.10203e10 | − | 3.64082e10i | −0.893376 | − | 1.54737i | −0.835801 | − | 0.549032i | \(-0.814996\pi\) |
−0.0575751 | − | 0.998341i | \(-0.518337\pi\) | |||||||
\(920\) | −3.22912e9 | + | 5.59300e9i | −0.136718 | + | 0.236803i | ||||
\(921\) | −2.54417e10 | − | 9.26002e9i | −1.07309 | − | 0.390574i | ||||
\(922\) | 3.41980e9 | + | 1.24471e9i | 0.143695 | + | 0.0523008i | ||||
\(923\) | 1.77898e10 | − | 3.08128e10i | 0.744670 | − | 1.28981i | ||||
\(924\) | −1.28274e9 | − | 2.22177e9i | −0.0534918 | − | 0.0926505i | ||||
\(925\) | 5.84057e8 | + | 3.31235e9i | 0.0242638 | + | 0.137607i | ||||
\(926\) | −1.20834e10 | − | 1.01392e10i | −0.500094 | − | 0.419628i | ||||
\(927\) | −1.54459e10 | + | 1.29606e10i | −0.636845 | + | 0.534377i | ||||
\(928\) | 1.37929e9 | − | 7.82235e9i | 0.0566550 | − | 0.321306i | ||||
\(929\) | 3.28159e9 | − | 1.19440e9i | 0.134286 | − | 0.0488759i | −0.274003 | − | 0.961729i | \(-0.588348\pi\) |
0.408289 | + | 0.912853i | \(0.366126\pi\) | |||||||
\(930\) | −4.07878e9 | −0.166280 | ||||||||
\(931\) | 5.28229e9 | − | 2.09606e10i | 0.214535 | − | 0.851295i | ||||
\(932\) | 1.71878e10 | 0.695446 | ||||||||
\(933\) | 6.29590e9 | − | 2.29152e9i | 0.253788 | − | 0.0923714i | ||||
\(934\) | −2.88660e8 | + | 1.63707e9i | −0.0115924 | + | 0.0657437i | ||||
\(935\) | −1.63936e10 | + | 1.37559e10i | −0.655895 | + | 0.550362i | ||||
\(936\) | 7.44520e9 | + | 6.24727e9i | 0.296764 | + | 0.249015i | ||||
\(937\) | −5.09245e9 | − | 2.88807e10i | −0.202226 | − | 1.14688i | −0.901745 | − | 0.432269i | \(-0.857713\pi\) |
0.699518 | − | 0.714615i | \(-0.253398\pi\) | |||||||
\(938\) | 1.29755e9 | + | 2.24743e9i | 0.0513352 | + | 0.0889151i | ||||
\(939\) | 3.67964e9 | − | 6.37333e9i | 0.145036 | − | 0.251210i | ||||
\(940\) | 9.09715e9 | + | 3.31109e9i | 0.357238 | + | 0.130024i | ||||
\(941\) | 3.00456e9 | + | 1.09357e9i | 0.117549 | + | 0.0427842i | 0.400125 | − | 0.916461i | \(-0.368967\pi\) |
−0.282576 | + | 0.959245i | \(0.591189\pi\) | |||||||
\(942\) | 3.00791e9 | − | 5.20984e9i | 0.117243 | − | 0.203070i | ||||
\(943\) | 6.73276e9 | + | 1.16615e10i | 0.261458 | + | 0.452859i | ||||
\(944\) | −9.26438e8 | − | 5.25409e9i | −0.0358438 | − | 0.203280i | ||||
\(945\) | −4.21016e9 | − | 3.53274e9i | −0.162288 | − | 0.136176i | ||||
\(946\) | 3.41294e8 | − | 2.86380e8i | 0.0131072 | − | 0.0109982i | ||||
\(947\) | −1.13637e9 | + | 6.44466e9i | −0.0434804 | + | 0.246590i | −0.998799 | − | 0.0489871i | \(-0.984401\pi\) |
0.955319 | + | 0.295577i | \(0.0955118\pi\) | |||||||
\(948\) | −6.15956e9 | + | 2.24190e9i | −0.234812 | + | 0.0854646i | ||||
\(949\) | 5.52674e10 | 2.09912 | ||||||||
\(950\) | 8.56267e9 | + | 8.31074e9i | 0.324023 | + | 0.314490i | ||||
\(951\) | 2.49580e10 | 0.940974 | ||||||||
\(952\) | 4.51559e9 | − | 1.64354e9i | 0.169623 | − | 0.0617378i | ||||
\(953\) | −3.98217e9 | + | 2.25840e10i | −0.149037 | + | 0.845233i | 0.814999 | + | 0.579462i | \(0.196737\pi\) |
−0.964036 | + | 0.265770i | \(0.914374\pi\) | |||||||
\(954\) | 1.13991e9 | − | 9.56501e8i | 0.0425062 | − | 0.0356670i | ||||
\(955\) | −1.02830e10 | − | 8.62847e9i | −0.382040 | − | 0.320569i | ||||
\(956\) | −2.36524e8 | − | 1.34140e9i | −0.00875534 | − | 0.0496540i | ||||
\(957\) | −1.53220e10 | − | 2.65384e10i | −0.565096 | − | 0.978775i | ||||
\(958\) | −8.51870e9 | + | 1.47548e10i | −0.313036 | + | 0.542194i | ||||
\(959\) | −1.59388e10 | − | 5.80125e9i | −0.583567 | − | 0.212401i | ||||
\(960\) | −1.21615e9 | − | 4.42642e8i | −0.0443647 | − | 0.0161474i | ||||
\(961\) | 8.42384e9 | − | 1.45905e10i | 0.306181 | − | 0.530321i | ||||
\(962\) | −3.86702e9 | − | 6.69787e9i | −0.140044 | − | 0.242563i | ||||
\(963\) | 4.91811e9 | + | 2.78920e10i | 0.177462 | + | 1.00644i | ||||
\(964\) | 1.33919e9 | + | 1.12371e9i | 0.0481474 | + | 0.0404005i | ||||
\(965\) | 1.73579e10 | − | 1.45650e10i | 0.621802 | − | 0.521754i | ||||
\(966\) | 9.71517e8 | − | 5.50975e9i | 0.0346761 | − | 0.196658i | ||||
\(967\) | −3.73013e10 | + | 1.35766e10i | −1.32657 | + | 0.482833i | −0.905559 | − | 0.424221i | \(-0.860548\pi\) |
−0.421014 | + | 0.907054i | \(0.638326\pi\) | |||||||
\(968\) | −4.98477e8 | −0.0176637 | ||||||||
\(969\) | −1.13388e10 | − | 2.33976e10i | −0.400343 | − | 0.826111i | ||||
\(970\) | 1.72593e10 | 0.607186 | ||||||||
\(971\) | −3.56332e10 | + | 1.29694e10i | −1.24907 | + | 0.454625i | −0.880088 | − | 0.474811i | \(-0.842517\pi\) |
−0.368984 | + | 0.929436i | \(0.620294\pi\) | |||||||
\(972\) | 2.46281e9 | − | 1.39673e10i | 0.0860199 | − | 0.487843i | ||||
\(973\) | 7.13765e9 | − | 5.98920e9i | 0.248405 | − | 0.208437i | ||||
\(974\) | 9.78958e8 | + | 8.21444e8i | 0.0339475 | + | 0.0284853i | ||||
\(975\) | 3.64990e9 | + | 2.06996e10i | 0.126115 | + | 0.715231i | ||||
\(976\) | 5.56705e9 | + | 9.64241e9i | 0.191668 | + | 0.331979i | ||||
\(977\) | −1.00198e9 | + | 1.73548e9i | −0.0343739 | + | 0.0595374i | −0.882701 | − | 0.469936i | \(-0.844277\pi\) |
0.848327 | + | 0.529473i | \(0.177610\pi\) | |||||||
\(978\) | −1.77551e10 | − | 6.46234e9i | −0.606929 | − | 0.220904i | ||||
\(979\) | 7.14568e9 | + | 2.60081e9i | 0.243391 | + | 0.0885870i | ||||
\(980\) | 3.88763e9 | − | 6.73358e9i | 0.131945 | − | 0.228536i | ||||
\(981\) | −2.50998e8 | − | 4.34742e8i | −0.00848846 | − | 0.0147024i | ||||
\(982\) | −5.02713e9 | − | 2.85103e10i | −0.169406 | − | 0.960751i | ||||
\(983\) | 2.95991e9 | + | 2.48366e9i | 0.0993897 | + | 0.0833979i | 0.691128 | − | 0.722732i | \(-0.257114\pi\) |
−0.591739 | + | 0.806130i | \(0.701558\pi\) | |||||||
\(984\) | −2.06711e9 | + | 1.73451e9i | −0.0691641 | + | 0.0580356i | ||||
\(985\) | −2.71600e9 | + | 1.54032e10i | −0.0905529 | + | 0.513551i | ||||
\(986\) | 5.39373e10 | − | 1.96316e10i | 1.79193 | − | 0.652208i | ||||
\(987\) | −8.38658e9 | −0.277636 | ||||||||
\(988\) | −2.50379e10 | − | 1.12234e10i | −0.825940 | − | 0.370233i | ||||
\(989\) | 9.71597e8 | 0.0319374 | ||||||||
\(990\) | 7.19503e9 | − | 2.61877e9i | 0.235673 | − | 0.0857778i | ||||
\(991\) | −9.74692e9 | + | 5.52775e10i | −0.318134 | + | 1.80423i | 0.235950 | + | 0.971765i | \(0.424180\pi\) |
−0.554084 | + | 0.832461i | \(0.686931\pi\) | |||||||
\(992\) | −2.59229e9 | + | 2.17519e9i | −0.0843125 | + | 0.0707466i | ||||
\(993\) | 3.56098e9 | + | 2.98802e9i | 0.115411 | + | 0.0968414i | ||||
\(994\) | 1.09295e9 | + | 6.19844e9i | 0.0352979 | + | 0.200184i | ||||
\(995\) | 1.33455e10 | + | 2.31150e10i | 0.429490 | + | 0.743898i | ||||
\(996\) | −1.74383e8 | + | 3.02040e8i | −0.00559236 | + | 0.00968626i | ||||
\(997\) | −3.39659e10 | − | 1.23626e10i | −1.08545 | − | 0.395071i | −0.263516 | − | 0.964655i | \(-0.584882\pi\) |
−0.821934 | + | 0.569583i | \(0.807105\pi\) | |||||||
\(998\) | −2.60105e10 | − | 9.46704e9i | −0.828307 | − | 0.301479i | ||||
\(999\) | −3.47706e9 | + | 6.02244e9i | −0.110340 | + | 0.191114i |
(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.a.5.3 | ✓ | 30 | |
19.4 | even | 9 | inner | 38.8.e.a.23.3 | yes | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.8.e.a.5.3 | ✓ | 30 | 1.1 | even | 1 | trivial | |
38.8.e.a.23.3 | yes | 30 | 19.4 | even | 9 | inner |