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 | 5.4 | ||
Character | \(\chi\) | \(=\) | 38.5 |
Dual form | 38.8.e.b.23.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) |
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 | ||||
\(3\) | −0.665685 | + | 3.77529i | −0.0142346 | + | 0.0807282i | −0.991097 | − | 0.133138i | \(-0.957495\pi\) |
0.976863 | + | 0.213866i | \(0.0686057\pi\) | |||||||
\(4\) | 49.0268 | − | 41.1384i | 0.383022 | − | 0.321394i | ||||
\(5\) | 10.1638 | + | 8.52843i | 0.0363631 | + | 0.0305122i | 0.660788 | − | 0.750573i | \(-0.270222\pi\) |
−0.624425 | + | 0.781085i | \(0.714667\pi\) | |||||||
\(6\) | 5.32548 | + | 30.2023i | 0.0100654 | + | 0.0570835i | ||||
\(7\) | −800.791 | − | 1387.01i | −0.882422 | − | 1.52840i | −0.848640 | − | 0.528970i | \(-0.822578\pi\) |
−0.0337813 | − | 0.999429i | \(-0.510755\pi\) | |||||||
\(8\) | 256.000 | − | 443.405i | 0.176777 | − | 0.306186i | ||||
\(9\) | 2041.30 | + | 742.972i | 0.933378 | + | 0.339722i | ||||
\(10\) | 99.7418 | + | 36.3031i | 0.0315411 | + | 0.0114800i | ||||
\(11\) | 706.965 | − | 1224.50i | 0.160149 | − | 0.277386i | −0.774773 | − | 0.632239i | \(-0.782136\pi\) |
0.934922 | + | 0.354853i | \(0.115469\pi\) | |||||||
\(12\) | 122.673 | + | 212.476i | 0.0204934 | + | 0.0354956i | ||||
\(13\) | −1782.69 | − | 10110.1i | −0.225047 | − | 1.27631i | −0.862595 | − | 0.505896i | \(-0.831162\pi\) |
0.637547 | − | 0.770411i | \(-0.279949\pi\) | |||||||
\(14\) | −9815.07 | − | 8235.82i | −0.955972 | − | 0.802156i | ||||
\(15\) | −38.9631 | + | 32.6940i | −0.00298081 | + | 0.00250120i | ||||
\(16\) | 711.263 | − | 4033.77i | 0.0434120 | − | 0.246202i | ||||
\(17\) | 19157.1 | − | 6972.61i | 0.945711 | − | 0.344211i | 0.177292 | − | 0.984158i | \(-0.443266\pi\) |
0.768418 | + | 0.639948i | \(0.221044\pi\) | |||||||
\(18\) | 17378.4 | 0.702355 | ||||||||
\(19\) | −27146.5 | − | 12527.6i | −0.907978 | − | 0.419017i | ||||
\(20\) | 849.144 | 0.0237343 | ||||||||
\(21\) | 5769.44 | − | 2099.90i | 0.135946 | − | 0.0494803i | ||||
\(22\) | 1964.21 | − | 11139.6i | 0.0393286 | − | 0.223044i | ||||
\(23\) | −40776.7 | + | 34215.7i | −0.698818 | + | 0.586378i | −0.921437 | − | 0.388527i | \(-0.872984\pi\) |
0.222619 | + | 0.974906i | \(0.428539\pi\) | |||||||
\(24\) | 1503.57 | + | 1261.64i | 0.0222015 | + | 0.0186293i | ||||
\(25\) | −13535.7 | − | 76764.7i | −0.173257 | − | 0.982589i | ||||
\(26\) | −41064.4 | − | 71125.6i | −0.458204 | − | 0.793632i | ||||
\(27\) | −8355.75 | + | 14472.6i | −0.0816982 | + | 0.141505i | ||||
\(28\) | −96319.7 | − | 35057.5i | −0.829205 | − | 0.301806i | ||||
\(29\) | 230577. | + | 83923.2i | 1.75559 | + | 0.638983i | 0.999873 | − | 0.0159146i | \(-0.00506599\pi\) |
0.755718 | + | 0.654898i | \(0.227288\pi\) | |||||||
\(30\) | −203.451 | + | 352.388i | −0.00137574 | + | 0.00238285i | ||||
\(31\) | 40177.3 | + | 69589.1i | 0.242223 | + | 0.419542i | 0.961347 | − | 0.275339i | \(-0.0887902\pi\) |
−0.719124 | + | 0.694881i | \(0.755457\pi\) | |||||||
\(32\) | −5690.10 | − | 32270.2i | −0.0306970 | − | 0.174091i | ||||
\(33\) | 4152.22 | + | 3484.13i | 0.0201132 | + | 0.0168770i | ||||
\(34\) | 124936. | − | 104834.i | 0.545144 | − | 0.457430i | ||||
\(35\) | 3689.96 | − | 20926.8i | 0.0145473 | − | 0.0825019i | ||||
\(36\) | 130643. | − | 47550.2i | 0.466689 | − | 0.169861i | ||||
\(37\) | −302101. | −0.980497 | −0.490249 | − | 0.871583i | \(-0.663094\pi\) | ||||
−0.490249 | + | 0.871583i | \(0.663094\pi\) | |||||||
\(38\) | −238352. | − | 19900.0i | −0.704655 | − | 0.0588316i | ||||
\(39\) | 39355.4 | 0.106237 | ||||||||
\(40\) | 6383.48 | − | 2323.40i | 0.0157706 | − | 0.00574002i | ||||
\(41\) | −137434. | + | 779428.i | −0.311423 | + | 1.76617i | 0.280187 | + | 0.959945i | \(0.409604\pi\) |
−0.591610 | + | 0.806224i | \(0.701508\pi\) | |||||||
\(42\) | 37626.3 | − | 31572.2i | 0.0783645 | − | 0.0657556i | ||||
\(43\) | 543716. | + | 456232.i | 1.04288 | + | 0.875077i | 0.992327 | − | 0.123645i | \(-0.0394583\pi\) |
0.0505494 | + | 0.998722i | \(0.483903\pi\) | |||||||
\(44\) | −15713.7 | − | 89116.8i | −0.0278096 | − | 0.157716i | ||||
\(45\) | 14410.9 | + | 24960.5i | 0.0235748 | + | 0.0408328i | ||||
\(46\) | −212921. | + | 368789.i | −0.322526 | + | 0.558632i | ||||
\(47\) | 542065. | + | 197295.i | 0.761568 | + | 0.277188i | 0.693465 | − | 0.720490i | \(-0.256083\pi\) |
0.0681029 | + | 0.997678i | \(0.478305\pi\) | |||||||
\(48\) | 14755.2 | + | 5370.44i | 0.0192575 | + | 0.00700916i | ||||
\(49\) | −870762. | + | 1.50820e6i | −1.05734 | + | 1.83136i | ||||
\(50\) | −311796. | − | 540046.i | −0.352757 | − | 0.610993i | ||||
\(51\) | 13571.0 | + | 76965.0i | 0.0143257 | + | 0.0812452i | ||||
\(52\) | −503315. | − | 422331.i | −0.496395 | − | 0.416525i | ||||
\(53\) | 1.06840e6 | − | 896498.i | 0.985758 | − | 0.827149i | 0.000809612 | − | 1.00000i | \(-0.499742\pi\) |
0.984948 | + | 0.172851i | \(0.0552978\pi\) | |||||||
\(54\) | −23215.4 | + | 131661.i | −0.0200631 | + | 0.113783i | ||||
\(55\) | 17628.5 | − | 6416.25i | 0.0142872 | − | 0.00520010i | ||||
\(56\) | −820010. | −0.623966 | ||||||||
\(57\) | 65366.4 | − | 94146.2i | 0.0467512 | − | 0.0673350i | ||||
\(58\) | 1.96300e6 | 1.32106 | ||||||||
\(59\) | −1.93477e6 | + | 704199.i | −1.22644 | + | 0.446389i | −0.872378 | − | 0.488832i | \(-0.837423\pi\) |
−0.354065 | + | 0.935221i | \(0.615201\pi\) | |||||||
\(60\) | −565.262 | + | 3205.76i | −0.000337848 | + | 0.00191603i | ||||
\(61\) | 1.31323e6 | − | 1.10193e6i | 0.740774 | − | 0.621583i | −0.192272 | − | 0.981342i | \(-0.561585\pi\) |
0.933045 | + | 0.359759i | \(0.117141\pi\) | |||||||
\(62\) | 492442. | + | 413208.i | 0.262412 | + | 0.220190i | ||||
\(63\) | −604144. | − | 3.42627e6i | −0.304403 | − | 1.72635i | ||||
\(64\) | −131072. | − | 227023.i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 68104.7 | − | 117961.i | 0.0307596 | − | 0.0532771i | ||||
\(66\) | 40747.6 | + | 14830.9i | 0.0174461 | + | 0.00634987i | ||||
\(67\) | −448240. | − | 163146.i | −0.182075 | − | 0.0662697i | 0.249374 | − | 0.968407i | \(-0.419775\pi\) |
−0.431449 | + | 0.902138i | \(0.641997\pi\) | |||||||
\(68\) | 652369. | − | 1.12994e6i | 0.251601 | − | 0.435786i | ||||
\(69\) | −102030. | − | 176720.i | −0.0373899 | − | 0.0647612i | ||||
\(70\) | −29519.6 | − | 167414.i | −0.0102865 | − | 0.0583377i | ||||
\(71\) | −481494. | − | 404022.i | −0.159657 | − | 0.133968i | 0.559460 | − | 0.828858i | \(-0.311009\pi\) |
−0.719116 | + | 0.694890i | \(0.755453\pi\) | |||||||
\(72\) | 852010. | − | 714921.i | 0.269018 | − | 0.225733i | ||||
\(73\) | 830493. | − | 4.70996e6i | 0.249865 | − | 1.41706i | −0.559051 | − | 0.829133i | \(-0.688835\pi\) |
0.808917 | − | 0.587923i | \(-0.200054\pi\) | |||||||
\(74\) | −2.27106e6 | + | 826598.i | −0.651504 | + | 0.237128i | ||||
\(75\) | 298819. | 0.0817889 | ||||||||
\(76\) | −1.84627e6 | + | 502571.i | −0.482445 | + | 0.131326i | ||||
\(77\) | −2.26453e6 | −0.565275 | ||||||||
\(78\) | 295856. | − | 107683.i | 0.0705909 | − | 0.0256930i | ||||
\(79\) | 770818. | − | 4.37153e6i | 0.175896 | − | 0.997558i | −0.761208 | − | 0.648508i | \(-0.775393\pi\) |
0.937104 | − | 0.349050i | \(-0.113496\pi\) | |||||||
\(80\) | 41630.9 | − | 34932.4i | 0.00909077 | − | 0.00762806i | ||||
\(81\) | 3.59027e6 | + | 3.01259e6i | 0.750636 | + | 0.629859i | ||||
\(82\) | 1.09947e6 | + | 6.23542e6i | 0.220210 | + | 1.24887i | ||||
\(83\) | −291149. | − | 504286.i | −0.0558911 | − | 0.0968062i | 0.836726 | − | 0.547622i | \(-0.184467\pi\) |
−0.892617 | + | 0.450815i | \(0.851133\pi\) | |||||||
\(84\) | 196471. | − | 340297.i | 0.0361676 | − | 0.0626442i | ||||
\(85\) | 254174. | + | 92511.7i | 0.0448916 | + | 0.0163392i | ||||
\(86\) | 5.33573e6 | + | 1.94205e6i | 0.904585 | + | 0.329242i | ||||
\(87\) | −470326. | + | 814628.i | −0.0765740 | + | 0.132630i | ||||
\(88\) | −361966. | − | 626944.i | −0.0566212 | − | 0.0980707i | ||||
\(89\) | −272892. | − | 1.54764e6i | −0.0410322 | − | 0.232705i | 0.957394 | − | 0.288785i | \(-0.0932511\pi\) |
−0.998426 | + | 0.0560793i | \(0.982140\pi\) | |||||||
\(90\) | 176631. | + | 148211.i | 0.0255398 | + | 0.0214304i | ||||
\(91\) | −1.25953e7 | + | 1.05687e7i | −1.75212 | + | 1.47020i | ||||
\(92\) | −591572. | + | 3.35497e6i | −0.0792046 | + | 0.449192i | ||||
\(93\) | −289464. | + | 105356.i | −0.0373168 | + | 0.0135822i | ||||
\(94\) | 4.61483e6 | 0.573070 | ||||||||
\(95\) | −169070. | − | 358845.i | −0.0202317 | − | 0.0429412i | ||||
\(96\) | 125617. | 0.0144910 | ||||||||
\(97\) | −1.54608e6 | + | 562727.i | −0.172001 | + | 0.0626032i | −0.426585 | − | 0.904447i | \(-0.640284\pi\) |
0.254584 | + | 0.967051i | \(0.418061\pi\) | |||||||
\(98\) | −2.41930e6 | + | 1.37205e7i | −0.259656 | + | 1.47258i | ||||
\(99\) | 2.35290e6 | − | 1.97431e6i | 0.243713 | − | 0.204500i | ||||
\(100\) | −3.82159e6 | − | 3.20670e6i | −0.382159 | − | 0.320670i | ||||
\(101\) | 1.50044e6 | + | 8.50944e6i | 0.144909 | + | 0.821819i | 0.967440 | + | 0.253099i | \(0.0814500\pi\) |
−0.822531 | + | 0.568720i | \(0.807439\pi\) | |||||||
\(102\) | 312609. | + | 541455.i | 0.0291677 | + | 0.0505199i | ||||
\(103\) | 5.94229e6 | − | 1.02923e7i | 0.535825 | − | 0.928077i | −0.463297 | − | 0.886203i | \(-0.653334\pi\) |
0.999123 | − | 0.0418741i | \(-0.0133328\pi\) | |||||||
\(104\) | −4.93925e6 | − | 1.79774e6i | −0.430571 | − | 0.156715i | ||||
\(105\) | 76548.2 | + | 27861.3i | 0.00645316 | + | 0.00234876i | ||||
\(106\) | 5.57881e6 | − | 9.66279e6i | 0.454958 | − | 0.788010i | ||||
\(107\) | 3.16764e6 | + | 5.48651e6i | 0.249973 | + | 0.432965i | 0.963518 | − | 0.267644i | \(-0.0862451\pi\) |
−0.713545 | + | 0.700609i | \(0.752912\pi\) | |||||||
\(108\) | 185723. | + | 1.05329e6i | 0.0141867 | + | 0.0804570i | ||||
\(109\) | 1.60055e7 | + | 1.34302e7i | 1.18380 | + | 0.993325i | 0.999946 | + | 0.0103711i | \(0.00330128\pi\) |
0.183852 | + | 0.982954i | \(0.441143\pi\) | |||||||
\(110\) | 114967. | − | 96468.9i | 0.00823568 | − | 0.00691055i | ||||
\(111\) | 201104. | − | 1.14052e6i | 0.0139570 | − | 0.0791538i | ||||
\(112\) | −6.16446e6 | + | 2.24368e6i | −0.414603 | + | 0.150903i | ||||
\(113\) | −8.70637e6 | −0.567627 | −0.283813 | − | 0.958880i | \(-0.591600\pi\) | ||||
−0.283813 | + | 0.958880i | \(0.591600\pi\) | |||||||
\(114\) | 233796. | − | 886601.i | 0.0147798 | − | 0.0560481i | ||||
\(115\) | −706251. | −0.0433029 | ||||||||
\(116\) | 1.47569e7 | − | 5.37109e6i | 0.877796 | − | 0.319491i | ||||
\(117\) | 3.87254e6 | − | 2.19623e7i | 0.223535 | − | 1.26773i | ||||
\(118\) | −1.26179e7 | + | 1.05877e7i | −0.706969 | + | 0.593218i | ||||
\(119\) | −2.50119e7 | − | 2.09875e7i | −1.36061 | − | 1.14168i | ||||
\(120\) | 4522.10 | + | 25646.1i | 0.000238894 | + | 0.00135484i | ||||
\(121\) | 8.74399e6 | + | 1.51450e7i | 0.448705 | + | 0.777179i | ||||
\(122\) | 6.85719e6 | − | 1.18770e7i | 0.341890 | − | 0.592171i | ||||
\(123\) | −2.85107e6 | − | 1.03771e6i | −0.138147 | − | 0.0502813i | ||||
\(124\) | 4.83255e6 | + | 1.75891e6i | 0.227615 | + | 0.0828451i | ||||
\(125\) | 1.03539e6 | − | 1.79334e6i | 0.0474151 | − | 0.0821254i | ||||
\(126\) | −1.39165e7 | − | 2.41041e7i | −0.619774 | − | 1.07348i | ||||
\(127\) | 2.26510e6 | + | 1.28460e7i | 0.0981236 | + | 0.556487i | 0.993745 | + | 0.111670i | \(0.0356200\pi\) |
−0.895622 | + | 0.444817i | \(0.853269\pi\) | |||||||
\(128\) | −1.60651e6 | − | 1.34802e6i | −0.0677094 | − | 0.0568149i | ||||
\(129\) | −2.08435e6 | + | 1.74898e6i | −0.0854883 | + | 0.0717332i | ||||
\(130\) | 189220. | − | 1.07312e6i | 0.00755380 | − | 0.0428397i | ||||
\(131\) | 794513. | − | 289179.i | 0.0308782 | − | 0.0112387i | −0.326535 | − | 0.945185i | \(-0.605881\pi\) |
0.357413 | + | 0.933946i | \(0.383659\pi\) | |||||||
\(132\) | 346902. | 0.0131280 | ||||||||
\(133\) | 4.36266e6 | + | 4.76845e7i | 0.160794 | + | 1.75750i | ||||
\(134\) | −3.81606e6 | −0.137009 | ||||||||
\(135\) | −208355. | + | 75834.8i | −0.00728844 | + | 0.00265278i | ||||
\(136\) | 1.81252e6 | − | 1.02793e7i | 0.0617871 | − | 0.350412i | ||||
\(137\) | 2.75792e7 | − | 2.31417e7i | 0.916345 | − | 0.768905i | −0.0569706 | − | 0.998376i | \(-0.518144\pi\) |
0.973315 | + | 0.229471i | \(0.0736997\pi\) | |||||||
\(138\) | −1.25055e6 | − | 1.04933e6i | −0.0405064 | − | 0.0339889i | ||||
\(139\) | −3.98768e6 | − | 2.26152e7i | −0.125941 | − | 0.714248i | −0.980744 | − | 0.195296i | \(-0.937433\pi\) |
0.854803 | − | 0.518952i | \(-0.173678\pi\) | |||||||
\(140\) | −679987. | − | 1.17777e6i | −0.0209437 | − | 0.0362755i | ||||
\(141\) | −1.10569e6 | + | 1.91511e6i | −0.0332175 | + | 0.0575344i | ||||
\(142\) | −4.72512e6 | − | 1.71980e6i | −0.138485 | − | 0.0504045i | ||||
\(143\) | −1.36402e7 | − | 4.96461e6i | −0.390071 | − | 0.141974i | ||||
\(144\) | 4.44888e6 | − | 7.70568e6i | 0.124160 | − | 0.215051i | ||||
\(145\) | 1.62780e6 | + | 2.81944e6i | 0.0443419 | + | 0.0768024i | ||||
\(146\) | −6.64394e6 | − | 3.76797e7i | −0.176681 | − | 1.00201i | ||||
\(147\) | −5.11425e6 | − | 4.29136e6i | −0.132792 | − | 0.111426i | ||||
\(148\) | −1.48111e7 | + | 1.24280e7i | −0.375552 | + | 0.315126i | ||||
\(149\) | 3.82310e6 | − | 2.16819e7i | 0.0946813 | − | 0.536964i | −0.900163 | − | 0.435553i | \(-0.856553\pi\) |
0.994845 | − | 0.101412i | \(-0.0323359\pi\) | |||||||
\(150\) | 2.24639e6 | − | 817618.i | 0.0543457 | − | 0.0197802i | ||||
\(151\) | −3.03990e7 | −0.718522 | −0.359261 | − | 0.933237i | \(-0.616971\pi\) | ||||
−0.359261 | + | 0.933237i | \(0.616971\pi\) | |||||||
\(152\) | −1.25043e7 | + | 8.82980e6i | −0.288807 | + | 0.203938i | ||||
\(153\) | 4.42858e7 | 0.999641 | ||||||||
\(154\) | −1.70237e7 | + | 6.19611e6i | −0.375605 | + | 0.136709i | ||||
\(155\) | −185132. | + | 1.04994e6i | −0.00399321 | + | 0.0226466i | ||||
\(156\) | 1.92947e6 | − | 1.61902e6i | 0.0406913 | − | 0.0341441i | ||||
\(157\) | 4.95435e6 | + | 4.15719e6i | 0.102173 | + | 0.0857336i | 0.692443 | − | 0.721472i | \(-0.256534\pi\) |
−0.590270 | + | 0.807206i | \(0.700979\pi\) | |||||||
\(158\) | −6.16654e6 | − | 3.49722e7i | −0.124378 | − | 0.705380i | ||||
\(159\) | 2.67332e6 | + | 4.63032e6i | 0.0527424 | + | 0.0913526i | ||||
\(160\) | 217381. | − | 376515.i | 0.00419567 | − | 0.00726712i | ||||
\(161\) | 8.01111e7 | + | 2.91581e7i | 1.51287 | + | 0.550640i | ||||
\(162\) | 3.52329e7 | + | 1.28237e7i | 0.651098 | + | 0.236980i | ||||
\(163\) | −4.07576e7 | + | 7.05943e7i | −0.737144 | + | 1.27677i | 0.216632 | + | 0.976253i | \(0.430493\pi\) |
−0.953776 | + | 0.300517i | \(0.902841\pi\) | |||||||
\(164\) | 2.53265e7 | + | 4.38667e7i | 0.448354 | + | 0.776572i | ||||
\(165\) | 12488.2 | + | 70823.9i | 0.000216424 | + | 0.00122740i | ||||
\(166\) | −3.56854e6 | − | 2.99436e6i | −0.0605497 | − | 0.0508072i | ||||
\(167\) | 2.96768e7 | − | 2.49018e7i | 0.493070 | − | 0.413735i | −0.362055 | − | 0.932157i | \(-0.617925\pi\) |
0.855125 | + | 0.518422i | \(0.173480\pi\) | |||||||
\(168\) | 545868. | − | 3.09577e6i | 0.00888189 | − | 0.0503717i | ||||
\(169\) | −4.00726e7 | + | 1.45852e7i | −0.638621 | + | 0.232439i | ||||
\(170\) | 2.16389e6 | 0.0337803 | ||||||||
\(171\) | −4.61063e7 | − | 4.57417e7i | −0.705138 | − | 0.699562i | ||||
\(172\) | 4.54253e7 | 0.680689 | ||||||||
\(173\) | −1.63860e7 | + | 5.96400e6i | −0.240608 | + | 0.0875742i | −0.459510 | − | 0.888173i | \(-0.651975\pi\) |
0.218902 | + | 0.975747i | \(0.429753\pi\) | |||||||
\(174\) | −1.30674e6 | + | 7.41089e6i | −0.0188047 | + | 0.106647i | ||||
\(175\) | −9.56343e7 | + | 8.02467e7i | −1.34890 | + | 1.13186i | ||||
\(176\) | −4.43652e6 | − | 3.72268e6i | −0.0613406 | − | 0.0514708i | ||||
\(177\) | −1.37061e6 | − | 7.77309e6i | −0.0185783 | − | 0.105363i | ||||
\(178\) | −6.28608e6 | − | 1.08878e7i | −0.0835429 | − | 0.144701i | ||||
\(179\) | 1.79346e7 | − | 3.10637e7i | 0.233726 | − | 0.404825i | −0.725176 | − | 0.688564i | \(-0.758241\pi\) |
0.958902 | + | 0.283739i | \(0.0915748\pi\) | |||||||
\(180\) | 1.73336e6 | + | 630890.i | 0.0221531 | + | 0.00806306i | ||||
\(181\) | 5.22198e7 | + | 1.90065e7i | 0.654577 | + | 0.238246i | 0.647893 | − | 0.761731i | \(-0.275650\pi\) |
0.00668354 | + | 0.999978i | \(0.497873\pi\) | |||||||
\(182\) | −6.57680e7 | + | 1.13914e8i | −0.808658 | + | 1.40064i | ||||
\(183\) | 3.28590e6 | + | 5.69135e6i | 0.0396347 | + | 0.0686493i | ||||
\(184\) | 4.73258e6 | + | 2.68398e7i | 0.0560061 | + | 0.317626i | ||||
\(185\) | −3.07049e6 | − | 2.57645e6i | −0.0356539 | − | 0.0299172i | ||||
\(186\) | −1.88779e6 | + | 1.58404e6i | −0.0215109 | + | 0.0180498i | ||||
\(187\) | 5.00544e6 | − | 2.83872e7i | 0.0559753 | − | 0.317452i | ||||
\(188\) | 3.46921e7 | − | 1.26269e7i | 0.380784 | − | 0.138594i | ||||
\(189\) | 2.67649e7 | 0.288369 | ||||||||
\(190\) | −2.25284e6 | − | 2.23503e6i | −0.0238283 | − | 0.0236399i | ||||
\(191\) | 1.31699e8 | 1.36762 | 0.683810 | − | 0.729661i | \(-0.260322\pi\) | ||||
0.683810 | + | 0.729661i | \(0.260322\pi\) | |||||||
\(192\) | 944331. | − | 343708.i | 0.00962875 | − | 0.00350458i | ||||
\(193\) | −2.67112e7 | + | 1.51487e8i | −0.267450 | + | 1.51679i | 0.494515 | + | 0.869169i | \(0.335346\pi\) |
−0.761966 | + | 0.647617i | \(0.775766\pi\) | |||||||
\(194\) | −1.00830e7 | + | 8.46064e6i | −0.0991479 | + | 0.0831950i | ||||
\(195\) | 399999. | + | 335639.i | 0.00386312 | + | 0.00324154i | ||||
\(196\) | 1.93544e7 | + | 1.09764e8i | 0.183605 | + | 1.04127i | ||||
\(197\) | 2.32782e6 | + | 4.03190e6i | 0.0216929 | + | 0.0375732i | 0.876668 | − | 0.481096i | \(-0.159761\pi\) |
−0.854975 | + | 0.518669i | \(0.826428\pi\) | |||||||
\(198\) | 1.22860e7 | − | 2.12799e7i | 0.112481 | − | 0.194823i | ||||
\(199\) | −8.91994e7 | − | 3.24659e7i | −0.802372 | − | 0.292040i | −0.0919031 | − | 0.995768i | \(-0.529295\pi\) |
−0.710469 | + | 0.703728i | \(0.751517\pi\) | |||||||
\(200\) | −3.75030e7 | − | 1.36500e7i | −0.331483 | − | 0.120650i | ||||
\(201\) | 914310. | − | 1.58363e6i | 0.00794159 | − | 0.0137552i | ||||
\(202\) | 3.45628e7 | + | 5.98646e7i | 0.295039 | + | 0.511023i | ||||
\(203\) | −6.82417e7 | − | 3.87018e8i | −0.572551 | − | 3.24710i | ||||
\(204\) | 3.83156e6 | + | 3.21506e6i | 0.0315988 | + | 0.0265145i | ||||
\(205\) | −8.04414e6 | + | 6.74984e6i | −0.0652141 | + | 0.0547211i | ||||
\(206\) | 1.65099e7 | − | 9.36322e7i | 0.131586 | − | 0.746259i | ||||
\(207\) | −1.08659e8 | + | 3.95485e7i | −0.851467 | + | 0.309909i | ||||
\(208\) | −4.20500e7 | −0.323999 | ||||||||
\(209\) | −3.45317e7 | + | 2.43842e7i | −0.261641 | + | 0.184755i | ||||
\(210\) | 651687. | 0.00485592 | ||||||||
\(211\) | −2.38998e6 | + | 869880.i | −0.0175148 | + | 0.00637486i | −0.350763 | − | 0.936464i | \(-0.614078\pi\) |
0.333248 | + | 0.942839i | \(0.391855\pi\) | |||||||
\(212\) | 1.55000e7 | − | 8.79049e7i | 0.111727 | − | 0.633633i | ||||
\(213\) | 1.84582e6 | − | 1.54883e6i | 0.0130876 | − | 0.0109818i | ||||
\(214\) | 3.88248e7 | + | 3.25779e7i | 0.270808 | + | 0.227235i | ||||
\(215\) | 1.63527e6 | + | 9.27409e6i | 0.0112216 | + | 0.0636409i | ||||
\(216\) | 4.27815e6 | + | 7.40997e6i | 0.0288847 | + | 0.0500297i | ||||
\(217\) | 6.43473e7 | − | 1.11453e8i | 0.427485 | − | 0.740426i | ||||
\(218\) | 1.57070e8 | + | 5.71687e7i | 1.02682 | + | 0.373732i | ||||
\(219\) | 1.72286e7 | + | 6.27070e6i | 0.110840 | + | 0.0403424i | ||||
\(220\) | 600316. | − | 1.03978e6i | 0.00380102 | − | 0.00658356i | ||||
\(221\) | −1.04645e8 | − | 1.81251e8i | −0.652148 | − | 1.12955i | ||||
\(222\) | −1.60883e6 | − | 9.12415e6i | −0.00986906 | − | 0.0559702i | ||||
\(223\) | −6.09763e7 | − | 5.11652e7i | −0.368209 | − | 0.308964i | 0.439844 | − | 0.898074i | \(-0.355034\pi\) |
−0.808053 | + | 0.589110i | \(0.799478\pi\) | |||||||
\(224\) | −4.02025e7 | + | 3.37339e7i | −0.238993 | + | 0.200539i | ||||
\(225\) | 2.94036e7 | − | 1.66756e8i | 0.172093 | − | 0.975986i | ||||
\(226\) | −6.54505e7 | + | 2.38220e7i | −0.377167 | + | 0.137278i | ||||
\(227\) | 2.17906e8 | 1.23646 | 0.618228 | − | 0.785998i | \(-0.287851\pi\) | ||||
0.618228 | + | 0.785998i | \(0.287851\pi\) | |||||||
\(228\) | −668313. | − | 7.30476e6i | −0.00373429 | − | 0.0408163i | ||||
\(229\) | 2.41348e8 | 1.32806 | 0.664031 | − | 0.747705i | \(-0.268844\pi\) | ||||
0.664031 | + | 0.747705i | \(0.268844\pi\) | |||||||
\(230\) | −5.30927e6 | + | 1.93242e6i | −0.0287732 | + | 0.0104726i | ||||
\(231\) | 1.50746e6 | − | 8.54924e6i | 0.00804645 | − | 0.0456337i | ||||
\(232\) | 9.62397e7 | − | 8.07547e7i | 0.505995 | − | 0.424581i | ||||
\(233\) | −1.66078e8 | − | 1.39356e8i | −0.860132 | − | 0.721737i | 0.101864 | − | 0.994798i | \(-0.467519\pi\) |
−0.961996 | + | 0.273062i | \(0.911964\pi\) | |||||||
\(234\) | −3.09804e7 | − | 1.75698e8i | −0.158063 | − | 0.896421i | ||||
\(235\) | 3.82681e6 | + | 6.62823e6i | 0.0192353 | + | 0.0333165i | ||||
\(236\) | −6.58861e7 | + | 1.14118e8i | −0.326288 | + | 0.565148i | ||||
\(237\) | 1.59906e7 | + | 5.82012e6i | 0.0780273 | + | 0.0283996i | ||||
\(238\) | −2.45453e8 | − | 8.93377e7i | −1.18018 | − | 0.429552i | ||||
\(239\) | 3.41656e7 | − | 5.91765e7i | 0.161881 | − | 0.280386i | −0.773662 | − | 0.633598i | \(-0.781577\pi\) |
0.935543 | + | 0.353212i | \(0.114911\pi\) | |||||||
\(240\) | 104167. | + | 180422.i | 0.000486397 | + | 0.000842464i | ||||
\(241\) | 4.12786e7 | + | 2.34103e8i | 0.189962 | + | 1.07733i | 0.919413 | + | 0.393293i | \(0.128664\pi\) |
−0.729452 | + | 0.684032i | \(0.760225\pi\) | |||||||
\(242\) | 1.07173e8 | + | 8.99284e7i | 0.486104 | + | 0.407890i | ||||
\(243\) | −4.17608e7 | + | 3.50415e7i | −0.186701 | + | 0.156661i | ||||
\(244\) | 1.90518e7 | − | 1.08048e8i | 0.0839599 | − | 0.476160i | ||||
\(245\) | −2.17128e7 | + | 7.90283e6i | −0.0943269 | + | 0.0343322i | ||||
\(246\) | −2.42724e7 | −0.103954 | ||||||||
\(247\) | −7.82625e7 | + | 2.96787e8i | −0.330457 | + | 1.25316i | ||||
\(248\) | 4.11416e7 | 0.171277 | ||||||||
\(249\) | 2.09764e6 | − | 763477.i | 0.00861058 | − | 0.00313400i | ||||
\(250\) | 2.87668e6 | − | 1.63145e7i | 0.0116440 | − | 0.0660364i | ||||
\(251\) | −2.63663e8 | + | 2.21239e8i | −1.05242 | + | 0.883088i | −0.993346 | − | 0.115166i | \(-0.963260\pi\) |
−0.0590768 | + | 0.998253i | \(0.518816\pi\) | |||||||
\(252\) | −1.70570e8 | − | 1.43126e8i | −0.671432 | − | 0.563398i | ||||
\(253\) | 1.30694e7 | + | 7.41203e7i | 0.0507381 | + | 0.287750i | ||||
\(254\) | 5.21767e7 | + | 9.03726e7i | 0.199783 | + | 0.346034i | ||||
\(255\) | −518458. | + | 897996.i | −0.00195805 | + | 0.00339144i | ||||
\(256\) | −1.57654e7 | − | 5.73815e6i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | −9.08372e7 | − | 3.30620e7i | −0.333809 | − | 0.121496i | 0.169678 | − | 0.985500i | \(-0.445727\pi\) |
−0.503486 | + | 0.864003i | \(0.667950\pi\) | |||||||
\(258\) | −1.08837e7 | + | 1.88511e7i | −0.0394555 | + | 0.0683390i | ||||
\(259\) | 2.41920e8 | + | 4.19018e8i | 0.865212 | + | 1.49859i | ||||
\(260\) | −1.51376e6 | − | 8.58496e6i | −0.00534134 | − | 0.0302923i | ||||
\(261\) | 4.08324e8 | + | 3.42625e8i | 1.42155 | + | 1.19283i | ||||
\(262\) | 5.18154e6 | − | 4.34783e6i | 0.0177994 | − | 0.0149354i | ||||
\(263\) | −2.14396e7 | + | 1.21590e8i | −0.0726727 | + | 0.412147i | 0.926669 | + | 0.375877i | \(0.122659\pi\) |
−0.999342 | + | 0.0362697i | \(0.988452\pi\) | |||||||
\(264\) | 2.60785e6 | − | 949179.i | 0.00872306 | − | 0.00317493i | ||||
\(265\) | 1.85048e7 | 0.0610833 | ||||||||
\(266\) | 1.63269e8 | + | 3.46533e8i | 0.531885 | + | 1.12891i | ||||
\(267\) | 6.02446e6 | 0.0193700 | ||||||||
\(268\) | −2.86874e7 | + | 1.04414e7i | −0.0910373 | + | 0.0331349i | ||||
\(269\) | 1.03641e6 | − | 5.87776e6i | 0.00324637 | − | 0.0184111i | −0.983142 | − | 0.182846i | \(-0.941469\pi\) |
0.986388 | + | 0.164435i | \(0.0525801\pi\) | |||||||
\(270\) | −1.35882e6 | + | 1.14018e6i | −0.00420134 | + | 0.00352534i | ||||
\(271\) | −2.34341e8 | − | 1.96635e8i | −0.715246 | − | 0.600163i | 0.210820 | − | 0.977525i | \(-0.432387\pi\) |
−0.926066 | + | 0.377362i | \(0.876831\pi\) | |||||||
\(272\) | −1.45002e7 | − | 8.22347e7i | −0.0436901 | − | 0.247779i | ||||
\(273\) | −3.15154e7 | − | 5.45863e7i | −0.0937463 | − | 0.162373i | ||||
\(274\) | 1.44008e8 | − | 2.49429e8i | 0.422922 | − | 0.732522i | ||||
\(275\) | −1.03568e8 | − | 3.76956e7i | −0.300303 | − | 0.109301i | ||||
\(276\) | −1.22722e7 | − | 4.46671e6i | −0.0351350 | − | 0.0127881i | ||||
\(277\) | −8.35975e7 | + | 1.44795e8i | −0.236327 | + | 0.409331i | −0.959658 | − | 0.281171i | \(-0.909277\pi\) |
0.723330 | + | 0.690502i | \(0.242610\pi\) | |||||||
\(278\) | −9.18564e7 | − | 1.59100e8i | −0.256421 | − | 0.444133i | ||||
\(279\) | 3.03111e7 | + | 1.71903e8i | 0.0835578 | + | 0.473880i | ||||
\(280\) | −8.33441e6 | − | 6.99340e6i | −0.0226893 | − | 0.0190386i | ||||
\(281\) | −5.32198e8 | + | 4.46567e8i | −1.43087 | + | 1.20064i | −0.485677 | + | 0.874138i | \(0.661427\pi\) |
−0.945195 | + | 0.326506i | \(0.894129\pi\) | |||||||
\(282\) | −3.07202e6 | + | 1.74223e7i | −0.00815741 | + | 0.0462630i | ||||
\(283\) | 389772. | − | 141865.i | 0.00102225 | − | 0.000372069i | −0.341509 | − | 0.939879i | \(-0.610938\pi\) |
0.342531 | + | 0.939506i | \(0.388716\pi\) | |||||||
\(284\) | −4.02269e7 | −0.104208 | ||||||||
\(285\) | 1.46729e6 | − | 399408.i | 0.00375456 | − | 0.00102202i | ||||
\(286\) | −1.16124e8 | −0.293523 | ||||||||
\(287\) | 1.19113e9 | − | 4.33536e8i | 2.97422 | − | 1.08253i | ||||
\(288\) | 1.23606e7 | − | 7.01006e7i | 0.0304907 | − | 0.172921i | ||||
\(289\) | 4.03904e6 | − | 3.38916e6i | 0.00984319 | − | 0.00825942i | ||||
\(290\) | 1.99515e7 | + | 1.67413e7i | 0.0480378 | + | 0.0403085i | ||||
\(291\) | −1.09525e6 | − | 6.21149e6i | −0.00260549 | − | 0.0147764i | ||||
\(292\) | −1.53044e8 | − | 2.65080e8i | −0.359729 | − | 0.623069i | ||||
\(293\) | −8.44729e7 | + | 1.46311e8i | −0.196192 | + | 0.339814i | −0.947291 | − | 0.320376i | \(-0.896191\pi\) |
0.751099 | + | 0.660190i | \(0.229524\pi\) | |||||||
\(294\) | −5.01884e7 | − | 1.82671e7i | −0.115183 | − | 0.0419231i | ||||
\(295\) | −2.56703e7 | − | 9.34323e6i | −0.0582176 | − | 0.0211895i | ||||
\(296\) | −7.73379e7 | + | 1.33953e8i | −0.173329 | + | 0.300215i | ||||
\(297\) | 1.18145e7 | + | 2.04632e7i | 0.0261677 | + | 0.0453239i | ||||
\(298\) | −3.05848e7 | − | 1.73455e8i | −0.0669498 | − | 0.379691i | ||||
\(299\) | 4.18617e8 | + | 3.51262e8i | 0.905666 | + | 0.759944i | ||||
\(300\) | 1.46502e7 | − | 1.22930e7i | 0.0313270 | − | 0.0262864i | ||||
\(301\) | 1.97396e8 | − | 1.11949e9i | 0.417210 | − | 2.36612i | ||||
\(302\) | −2.28526e8 | + | 8.31766e7i | −0.477431 | + | 0.173771i | ||||
\(303\) | −3.31244e7 | −0.0684067 | ||||||||
\(304\) | −6.98419e7 | + | 1.00592e8i | −0.142580 | + | 0.205356i | ||||
\(305\) | 2.27451e7 | 0.0459027 | ||||||||
\(306\) | 3.32920e8 | − | 1.21173e8i | 0.664225 | − | 0.241758i | ||||
\(307\) | −8.52929e7 | + | 4.83720e8i | −0.168240 | + | 0.954135i | 0.777421 | + | 0.628980i | \(0.216527\pi\) |
−0.945661 | + | 0.325155i | \(0.894584\pi\) | |||||||
\(308\) | −1.11023e8 | + | 9.31590e7i | −0.216513 | + | 0.181676i | ||||
\(309\) | 3.49009e7 | + | 2.92853e7i | 0.0672948 | + | 0.0564670i | ||||
\(310\) | 1.48106e6 | + | 8.39951e6i | 0.00282362 | + | 0.0160136i | ||||
\(311\) | −3.32210e8 | − | 5.75405e8i | −0.626256 | − | 1.08471i | −0.988297 | − | 0.152544i | \(-0.951253\pi\) |
0.362041 | − | 0.932162i | \(-0.382080\pi\) | |||||||
\(312\) | 1.00750e7 | − | 1.74504e7i | 0.0187803 | − | 0.0325285i | ||||
\(313\) | −5.41374e8 | − | 1.97044e8i | −0.997912 | − | 0.363210i | −0.209133 | − | 0.977887i | \(-0.567064\pi\) |
−0.788779 | + | 0.614677i | \(0.789286\pi\) | |||||||
\(314\) | 4.86192e7 | + | 1.76960e7i | 0.0886246 | + | 0.0322567i | ||||
\(315\) | 2.30803e7 | − | 3.99763e7i | 0.0416059 | − | 0.0720635i | ||||
\(316\) | −1.42047e8 | − | 2.46032e8i | −0.253237 | − | 0.438619i | ||||
\(317\) | −1.31916e7 | − | 7.48131e7i | −0.0232589 | − | 0.131908i | 0.970967 | − | 0.239212i | \(-0.0768892\pi\) |
−0.994226 | + | 0.107304i | \(0.965778\pi\) | |||||||
\(318\) | 3.27661e7 | + | 2.74940e7i | 0.0571385 | + | 0.0479449i | ||||
\(319\) | 2.65774e8 | − | 2.23011e8i | 0.458401 | − | 0.384644i | ||||
\(320\) | 603965. | − | 3.42525e6i | 0.00103035 | − | 0.00584343i | ||||
\(321\) | −2.28218e7 | + | 8.30645e6i | −0.0385108 | + | 0.0140168i | ||||
\(322\) | 6.82020e8 | 1.13842 | ||||||||
\(323\) | −6.07397e8 | − | 5.07116e7i | −1.00291 | − | 0.0837333i | ||||
\(324\) | 2.99953e8 | 0.489943 | ||||||||
\(325\) | −7.51972e8 | + | 2.73695e8i | −1.21509 | + | 0.442258i | ||||
\(326\) | −1.13240e8 | + | 6.42215e8i | −0.181025 | + | 1.02664i | ||||
\(327\) | −6.13577e7 | + | 5.14852e7i | −0.0970402 | + | 0.0814264i | ||||
\(328\) | 3.10419e8 | + | 2.60472e8i | 0.485724 | + | 0.407571i | ||||
\(329\) | −1.60430e8 | − | 9.09842e8i | −0.248370 | − | 1.40858i | ||||
\(330\) | 287666. | + | 498252.i | 0.000440645 | + | 0.000763220i | ||||
\(331\) | 3.03296e8 | − | 5.25323e8i | 0.459693 | − | 0.796212i | −0.539251 | − | 0.842145i | \(-0.681293\pi\) |
0.998945 | + | 0.0459330i | \(0.0146261\pi\) | |||||||
\(332\) | −3.50197e7 | − | 1.27461e7i | −0.0525205 | − | 0.0191159i | ||||
\(333\) | −6.16679e8 | − | 2.24453e8i | −0.915175 | − | 0.333096i | ||||
\(334\) | 1.54961e8 | − | 2.68400e8i | 0.227567 | − | 0.394158i | ||||
\(335\) | −3.16444e6 | − | 5.48097e6i | −0.00459875 | − | 0.00796527i | ||||
\(336\) | −4.36695e6 | − | 2.47662e7i | −0.00628045 | − | 0.0356182i | ||||
\(337\) | 2.25304e8 | + | 1.89053e8i | 0.320675 | + | 0.269078i | 0.788887 | − | 0.614538i | \(-0.210657\pi\) |
−0.468213 | + | 0.883616i | \(0.655102\pi\) | |||||||
\(338\) | −2.61340e8 | + | 2.19290e8i | −0.368126 | + | 0.308895i | ||||
\(339\) | 5.79570e6 | − | 3.28690e7i | 0.00807992 | − | 0.0458235i | ||||
\(340\) | 1.62671e7 | − | 5.92075e6i | 0.0224458 | − | 0.00816960i | ||||
\(341\) | 1.13616e8 | 0.155167 | ||||||||
\(342\) | −4.71763e8 | − | 2.17711e8i | −0.637723 | − | 0.294299i | ||||
\(343\) | 1.47022e9 | 1.96722 | ||||||||
\(344\) | 3.41487e8 | − | 1.24291e8i | 0.452293 | − | 0.164621i | ||||
\(345\) | 470141. | − | 2.66630e6i | 0.000616398 | − | 0.00349576i | ||||
\(346\) | −1.06864e8 | + | 8.96692e7i | −0.138696 | + | 0.116380i | ||||
\(347\) | 1.09660e9 | + | 9.20157e8i | 1.40895 | + | 1.18225i | 0.956959 | + | 0.290225i | \(0.0937300\pi\) |
0.451990 | + | 0.892023i | \(0.350714\pi\) | |||||||
\(348\) | 1.04539e7 | + | 5.92871e7i | 0.0132969 | + | 0.0754107i | ||||
\(349\) | −7.14339e8 | − | 1.23727e9i | −0.899530 | − | 1.55803i | −0.828096 | − | 0.560586i | \(-0.810576\pi\) |
−0.0714334 | − | 0.997445i | \(-0.522757\pi\) | |||||||
\(350\) | −4.99367e8 | + | 8.64929e8i | −0.622560 | + | 1.07831i | ||||
\(351\) | 1.61216e8 | + | 5.86777e7i | 0.198990 | + | 0.0724266i | ||||
\(352\) | −4.35375e7 | − | 1.58464e7i | −0.0532065 | − | 0.0193656i | ||||
\(353\) | −1.11508e8 | + | 1.93137e8i | −0.134925 | + | 0.233698i | −0.925569 | − | 0.378579i | \(-0.876413\pi\) |
0.790644 | + | 0.612277i | \(0.209746\pi\) | |||||||
\(354\) | −3.15720e7 | − | 5.46843e7i | −0.0378260 | − | 0.0655166i | ||||
\(355\) | −1.44813e6 | − | 8.21278e6i | −0.00171795 | − | 0.00974296i | ||||
\(356\) | −7.70466e7 | − | 6.46498e7i | −0.0905063 | − | 0.0759438i | ||||
\(357\) | 9.58838e7 | − | 8.04561e7i | 0.111534 | − | 0.0935880i | ||||
\(358\) | 4.98291e7 | − | 2.82595e8i | 0.0573974 | − | 0.325517i | ||||
\(359\) | −1.08104e9 | + | 3.93468e8i | −1.23314 | + | 0.448827i | −0.874672 | − | 0.484715i | \(-0.838923\pi\) |
−0.358469 | + | 0.933542i | \(0.616701\pi\) | |||||||
\(360\) | 1.47568e7 | 0.0166699 | ||||||||
\(361\) | 5.79988e8 | + | 6.80162e8i | 0.648849 | + | 0.760917i | ||||
\(362\) | 4.44570e8 | 0.492561 | ||||||||
\(363\) | −6.29975e7 | + | 2.29292e7i | −0.0691274 | + | 0.0251603i | ||||
\(364\) | −1.82728e8 | + | 1.03630e9i | −0.198587 | + | 1.12624i | ||||
\(365\) | 4.86095e7 | − | 4.07882e7i | 0.0523234 | − | 0.0439046i | ||||
\(366\) | 4.02743e7 | + | 3.37942e7i | 0.0429383 | + | 0.0360295i | ||||
\(367\) | −1.85775e8 | − | 1.05358e9i | −0.196180 | − | 1.11259i | −0.910728 | − | 0.413007i | \(-0.864479\pi\) |
0.714548 | − | 0.699587i | \(-0.246633\pi\) | |||||||
\(368\) | 1.09015e8 | + | 1.88820e8i | 0.114030 | + | 0.197506i | ||||
\(369\) | −8.59637e8 | + | 1.48893e9i | −0.890682 | + | 1.54271i | ||||
\(370\) | −3.01321e7 | − | 1.09672e7i | −0.0309260 | − | 0.0112561i | ||||
\(371\) | −2.09902e9 | − | 7.63981e8i | −2.13407 | − | 0.776737i | ||||
\(372\) | −9.85733e6 | + | 1.70734e7i | −0.00992794 | + | 0.0171957i | ||||
\(373\) | 1.94363e8 | + | 3.36647e8i | 0.193925 | + | 0.335887i | 0.946547 | − | 0.322564i | \(-0.104545\pi\) |
−0.752623 | + | 0.658452i | \(0.771212\pi\) | |||||||
\(374\) | −4.00435e7 | − | 2.27098e8i | −0.0395805 | − | 0.224472i | ||||
\(375\) | 6.08113e6 | + | 5.10267e6i | 0.00595491 | + | 0.00499676i | ||||
\(376\) | 2.26250e8 | − | 1.89847e8i | 0.219499 | − | 0.184181i | ||||
\(377\) | 4.37428e8 | − | 2.48078e9i | 0.420447 | − | 2.38448i | ||||
\(378\) | 2.01206e8 | − | 7.32330e7i | 0.191611 | − | 0.0697405i | ||||
\(379\) | 1.50989e9 | 1.42465 | 0.712323 | − | 0.701852i | \(-0.247643\pi\) | ||||
0.712323 | + | 0.701852i | \(0.247643\pi\) | |||||||
\(380\) | −2.30513e7 | − | 1.06378e7i | −0.0215502 | − | 0.00994508i | ||||
\(381\) | −5.00052e7 | −0.0463209 | ||||||||
\(382\) | 9.90051e8 | − | 3.60349e8i | 0.908732 | − | 0.330752i | ||||
\(383\) | −2.31239e8 | + | 1.31142e9i | −0.210313 | + | 1.19274i | 0.678545 | + | 0.734558i | \(0.262611\pi\) |
−0.888858 | + | 0.458183i | \(0.848500\pi\) | |||||||
\(384\) | 6.15860e6 | − | 5.16768e6i | 0.00555038 | − | 0.00465732i | ||||
\(385\) | −2.30162e7 | − | 1.93129e7i | −0.0205551 | − | 0.0172478i | ||||
\(386\) | 2.13690e8 | + | 1.21189e9i | 0.189116 | + | 1.07253i | ||||
\(387\) | 7.70919e8 | + | 1.33527e9i | 0.676115 | + | 1.17107i | ||||
\(388\) | −5.26497e7 | + | 9.11919e7i | −0.0457599 | + | 0.0792584i | ||||
\(389\) | 1.14723e9 | + | 4.17556e8i | 0.988155 | + | 0.359659i | 0.785006 | − | 0.619489i | \(-0.212660\pi\) |
0.203149 | + | 0.979148i | \(0.434882\pi\) | |||||||
\(390\) | 3.92538e6 | + | 1.42872e6i | 0.00335085 | + | 0.00121961i | ||||
\(391\) | −5.42589e8 | + | 9.39792e8i | −0.459042 | + | 0.795084i | ||||
\(392\) | 4.45830e8 | + | 7.72200e8i | 0.373825 | + | 0.647484i | ||||
\(393\) | 562839. | + | 3.19202e6i | 0.000467746 | + | 0.00265272i | ||||
\(394\) | 2.85314e7 | + | 2.39407e7i | 0.0235010 | + | 0.0197197i | ||||
\(395\) | 4.51167e7 | − | 3.78574e7i | 0.0368339 | − | 0.0309073i | ||||
\(396\) | 3.41349e7 | − | 1.93589e8i | 0.0276227 | − | 0.156656i | ||||
\(397\) | 7.86452e7 | − | 2.86245e7i | 0.0630820 | − | 0.0229600i | −0.310286 | − | 0.950643i | \(-0.600425\pi\) |
0.373368 | + | 0.927683i | \(0.378203\pi\) | |||||||
\(398\) | −7.59392e8 | −0.603775 | ||||||||
\(399\) | −1.82927e8 | − | 1.52725e7i | −0.144169 | − | 0.0120367i | ||||
\(400\) | −3.19279e8 | −0.249437 | ||||||||
\(401\) | −1.08704e9 | + | 3.95649e8i | −0.841857 | + | 0.306411i | −0.726716 | − | 0.686938i | \(-0.758954\pi\) |
−0.115141 | + | 0.993349i | \(0.536732\pi\) | |||||||
\(402\) | 2.54029e6 | − | 1.44067e7i | 0.00195026 | − | 0.0110605i | ||||
\(403\) | 6.31932e8 | − | 5.30254e8i | 0.480953 | − | 0.403568i | ||||
\(404\) | 4.23627e8 | + | 3.55465e8i | 0.319631 | + | 0.268202i | ||||
\(405\) | 1.07980e7 | + | 6.12387e7i | 0.00807704 | + | 0.0458072i | ||||
\(406\) | −1.57195e9 | − | 2.72270e9i | −1.16573 | − | 2.01911i | ||||
\(407\) | −2.13575e8 | + | 3.69923e8i | −0.157026 | + | 0.271976i | ||||
\(408\) | 3.76009e7 | + | 1.36856e7i | 0.0274086 | + | 0.00997592i | ||||
\(409\) | −2.01757e9 | − | 7.34337e8i | −1.45814 | − | 0.530718i | −0.513284 | − | 0.858219i | \(-0.671571\pi\) |
−0.944851 | + | 0.327501i | \(0.893794\pi\) | |||||||
\(410\) | −4.20035e7 | + | 7.27523e7i | −0.0300983 | + | 0.0521318i | ||||
\(411\) | 6.90074e7 | + | 1.19524e8i | 0.0490285 | + | 0.0849199i | ||||
\(412\) | −1.32079e8 | − | 7.49057e8i | −0.0930451 | − | 0.527685i | ||||
\(413\) | 2.52608e9 | + | 2.11963e9i | 1.76450 | + | 1.48059i | ||||
\(414\) | −7.08634e8 | + | 5.94615e8i | −0.490819 | + | 0.411846i | ||||
\(415\) | 1.34158e6 | − | 7.60850e6i | 0.000921403 | − | 0.00522553i | ||||
\(416\) | −3.16112e8 | + | 1.15055e8i | −0.215285 | + | 0.0783575i | ||||
\(417\) | 8.80335e7 | 0.0594527 | ||||||||
\(418\) | −1.92874e8 | + | 2.77794e8i | −0.129169 | + | 0.186040i | ||||
\(419\) | 1.25489e9 | 0.833403 | 0.416701 | − | 0.909043i | \(-0.363186\pi\) | ||||
0.416701 | + | 0.909043i | \(0.363186\pi\) | |||||||
\(420\) | 4.89909e6 | − | 1.78312e6i | 0.00322658 | − | 0.00117438i | ||||
\(421\) | −2.64620e7 | + | 1.50074e8i | −0.0172837 | + | 0.0980205i | −0.992229 | − | 0.124423i | \(-0.960292\pi\) |
0.974946 | + | 0.222443i | \(0.0714032\pi\) | |||||||
\(422\) | −1.55866e7 | + | 1.30787e7i | −0.0100962 | + | 0.00847172i | ||||
\(423\) | 9.59931e8 | + | 8.05478e8i | 0.616664 | + | 0.517443i | ||||
\(424\) | −1.24000e8 | − | 7.03239e8i | −0.0790026 | − | 0.448046i | ||||
\(425\) | −7.94555e8 | − | 1.37621e9i | −0.502068 | − | 0.869608i | ||||
\(426\) | 9.63819e6 | − | 1.66938e7i | 0.00604035 | − | 0.0104622i | ||||
\(427\) | −2.58001e9 | − | 9.39046e8i | −1.60370 | − | 0.583700i | ||||
\(428\) | 3.81006e8 | + | 1.38675e8i | 0.234897 | + | 0.0854956i | ||||
\(429\) | 2.78229e7 | − | 4.81906e7i | 0.0170138 | − | 0.0294688i | ||||
\(430\) | 3.76686e7 | + | 6.52440e7i | 0.0228476 | + | 0.0395732i | ||||
\(431\) | 2.88808e8 | + | 1.63791e9i | 0.173755 | + | 0.985415i | 0.939571 | + | 0.342355i | \(0.111225\pi\) |
−0.765815 | + | 0.643060i | \(0.777664\pi\) | |||||||
\(432\) | 5.24360e7 | + | 4.39990e7i | 0.0312922 | + | 0.0262573i | ||||
\(433\) | −2.86251e8 | + | 2.40193e8i | −0.169449 | + | 0.142185i | −0.723569 | − | 0.690252i | \(-0.757500\pi\) |
0.554119 | + | 0.832437i | \(0.313055\pi\) | |||||||
\(434\) | 1.78781e8 | − | 1.01392e9i | 0.104980 | − | 0.595371i | ||||
\(435\) | −1.17278e7 | + | 4.26857e6i | −0.00683131 | + | 0.00248639i | ||||
\(436\) | 1.33720e9 | 0.772670 | ||||||||
\(437\) | 1.53558e9 | − | 4.17999e8i | 0.880214 | − | 0.239602i | ||||
\(438\) | 1.46674e8 | 0.0834055 | ||||||||
\(439\) | 3.13184e9 | − | 1.13990e9i | 1.76675 | − | 0.643043i | 0.766747 | − | 0.641950i | \(-0.221874\pi\) |
0.999999 | − | 0.00109326i | \(-0.000347997\pi\) | |||||||
\(440\) | 1.66790e6 | − | 9.45913e6i | 0.000933438 | − | 0.00529379i | ||||
\(441\) | −2.89804e9 | + | 2.43174e9i | −1.60905 | + | 1.35015i | ||||
\(442\) | −1.28261e9 | − | 1.07623e9i | −0.706505 | − | 0.592828i | ||||
\(443\) | −5.86332e8 | − | 3.32525e9i | −0.320428 | − | 1.81724i | −0.540027 | − | 0.841648i | \(-0.681586\pi\) |
0.219599 | − | 0.975590i | \(-0.429525\pi\) | |||||||
\(444\) | −3.70596e7 | − | 6.41891e7i | −0.0200937 | − | 0.0348034i | ||||
\(445\) | 1.04254e7 | − | 1.80573e7i | 0.00560830 | − | 0.00971386i | ||||
\(446\) | −5.98388e8 | − | 2.17796e8i | −0.319383 | − | 0.116246i | ||||
\(447\) | 7.93104e7 | + | 2.88666e7i | 0.0420004 | + | 0.0152869i | ||||
\(448\) | −2.09923e8 | + | 3.63597e8i | −0.110303 | + | 0.191050i | ||||
\(449\) | −2.39316e8 | − | 4.14508e8i | −0.124770 | − | 0.216108i | 0.796873 | − | 0.604147i | \(-0.206486\pi\) |
−0.921643 | + | 0.388039i | \(0.873153\pi\) | |||||||
\(450\) | −2.35229e8 | − | 1.33405e9i | −0.121688 | − | 0.690126i | ||||
\(451\) | 8.57248e8 | + | 7.19317e8i | 0.440036 | + | 0.369234i | ||||
\(452\) | −4.26846e8 | + | 3.58166e8i | −0.217414 | + | 0.182432i | ||||
\(453\) | 2.02362e7 | − | 1.14765e8i | 0.0102278 | − | 0.0580050i | ||||
\(454\) | 1.63812e9 | − | 5.96226e8i | 0.821580 | − | 0.299031i | ||||
\(455\) | −2.18151e8 | −0.108572 | ||||||||
\(456\) | −2.50111e7 | − | 5.30852e7i | −0.0123525 | − | 0.0262178i | ||||
\(457\) | 1.03079e9 | 0.505200 | 0.252600 | − | 0.967571i | \(-0.418714\pi\) | ||||
0.252600 | + | 0.967571i | \(0.418714\pi\) | |||||||
\(458\) | 1.81434e9 | − | 6.60366e8i | 0.882449 | − | 0.321185i | ||||
\(459\) | −5.91602e7 | + | 3.35514e8i | −0.0285552 | + | 0.161945i | ||||
\(460\) | −3.46253e7 | + | 2.90540e7i | −0.0165860 | + | 0.0139173i | ||||
\(461\) | −2.87366e9 | − | 2.41129e9i | −1.36610 | − | 1.14629i | −0.974045 | − | 0.226354i | \(-0.927320\pi\) |
−0.392056 | − | 0.919941i | \(-0.628236\pi\) | |||||||
\(462\) | −1.20597e7 | − | 6.83939e7i | −0.00568970 | − | 0.0322679i | ||||
\(463\) | −1.55464e9 | − | 2.69271e9i | −0.727939 | − | 1.26083i | −0.957753 | − | 0.287593i | \(-0.907145\pi\) |
0.229813 | − | 0.973235i | \(-0.426188\pi\) | |||||||
\(464\) | 5.02528e8 | − | 8.70404e8i | 0.233533 | − | 0.404490i | ||||
\(465\) | −3.84058e6 | − | 1.39786e6i | −0.00177138 | − | 0.000644729i | ||||
\(466\) | −1.62979e9 | − | 5.93196e8i | −0.746074 | − | 0.271549i | ||||
\(467\) | 1.84255e9 | − | 3.19140e9i | 0.837165 | − | 1.45001i | −0.0550905 | − | 0.998481i | \(-0.517545\pi\) |
0.892255 | − | 0.451531i | \(-0.149122\pi\) | |||||||
\(468\) | −7.13635e8 | − | 1.23605e9i | −0.321822 | − | 0.557412i | ||||
\(469\) | 1.32661e8 | + | 7.52361e8i | 0.0593799 | + | 0.336760i | ||||
\(470\) | 4.69041e7 | + | 3.93572e7i | 0.0208386 | + | 0.0174857i | ||||
\(471\) | −1.89926e7 | + | 1.59367e7i | −0.00837552 | + | 0.00702789i | ||||
\(472\) | −1.83056e8 | + | 1.03816e9i | −0.0801285 | + | 0.454431i | ||||
\(473\) | 9.43045e8 | − | 3.43240e8i | 0.409749 | − | 0.149137i | ||||
\(474\) | 1.36135e8 | 0.0587146 | ||||||||
\(475\) | −5.94235e8 | + | 2.25346e9i | −0.254408 | + | 0.964767i | ||||
\(476\) | −2.08965e9 | −0.888073 | ||||||||
\(477\) | 2.84700e9 | − | 1.03622e9i | 1.20109 | − | 0.437159i | ||||
\(478\) | 9.49246e7 | − | 5.38344e8i | 0.0397540 | − | 0.225456i | ||||
\(479\) | −1.62680e9 | + | 1.36505e9i | −0.676333 | + | 0.567510i | −0.914932 | − | 0.403608i | \(-0.867756\pi\) |
0.238600 | + | 0.971118i | \(0.423312\pi\) | |||||||
\(480\) | 1.27674e6 | + | 1.07132e6i | 0.000526938 | + | 0.000442153i | ||||
\(481\) | 5.38553e8 | + | 3.05428e9i | 0.220658 | + | 1.25142i | ||||
\(482\) | 9.50857e8 | + | 1.64693e9i | 0.386768 | + | 0.669902i | ||||
\(483\) | −1.63409e8 | + | 2.83032e8i | −0.0659873 | + | 0.114293i | ||||
\(484\) | 1.05173e9 | + | 3.82799e8i | 0.421644 | + | 0.153466i | ||||
\(485\) | −2.05132e7 | − | 7.46619e6i | −0.00816464 | − | 0.00297169i | ||||
\(486\) | −2.18060e8 | + | 3.77690e8i | −0.0861684 | + | 0.149248i | ||||
\(487\) | 2.09314e9 | + | 3.62543e9i | 0.821197 | + | 1.42235i | 0.904791 | + | 0.425855i | \(0.140027\pi\) |
−0.0835945 | + | 0.996500i | \(0.526640\pi\) | |||||||
\(488\) | −1.52414e8 | − | 8.64385e8i | −0.0593686 | − | 0.336696i | ||||
\(489\) | −2.39382e8 | − | 2.00865e8i | −0.0925785 | − | 0.0776826i | ||||
\(490\) | −1.41604e8 | + | 1.18820e8i | −0.0543737 | + | 0.0456249i | ||||
\(491\) | −1.41986e8 | + | 8.05242e8i | −0.0541328 | + | 0.307002i | −0.999838 | − | 0.0180247i | \(-0.994262\pi\) |
0.945705 | + | 0.325027i | \(0.105373\pi\) | |||||||
\(492\) | −1.82469e8 | + | 6.64132e7i | −0.0690734 | + | 0.0251407i | ||||
\(493\) | 5.00235e9 | 1.88023 | ||||||||
\(494\) | 2.23716e8 | + | 2.44525e9i | 0.0834936 | + | 0.912596i | ||||
\(495\) | 4.07521e7 | 0.0151019 | ||||||||
\(496\) | 3.09283e8 | − | 1.12570e8i | 0.113807 | − | 0.0414225i | ||||
\(497\) | −1.74806e8 | + | 9.91375e8i | −0.0638718 | + | 0.362235i | ||||
\(498\) | 1.36801e7 | − | 1.14789e7i | 0.00496347 | − | 0.00416485i | ||||
\(499\) | −2.00470e9 | − | 1.68214e9i | −0.722267 | − | 0.606054i | 0.205744 | − | 0.978606i | \(-0.434038\pi\) |
−0.928011 | + | 0.372552i | \(0.878483\pi\) | |||||||
\(500\) | −2.30135e7 | − | 1.30516e8i | −0.00823355 | − | 0.0466948i | ||||
\(501\) | 7.42559e7 | + | 1.28615e8i | 0.0263815 | + | 0.0456941i | ||||
\(502\) | −1.37675e9 | + | 2.38460e9i | −0.485726 | + | 0.841302i | ||||
\(503\) | −3.33380e9 | − | 1.21341e9i | −1.16802 | − | 0.425126i | −0.316067 | − | 0.948737i | \(-0.602362\pi\) |
−0.851958 | + | 0.523611i | \(0.824585\pi\) | |||||||
\(504\) | −1.67389e9 | − | 6.09245e8i | −0.582397 | − | 0.211975i | ||||
\(505\) | −5.73220e7 | + | 9.92845e7i | −0.0198062 | + | 0.0343053i | ||||
\(506\) | 3.01055e8 | + | 5.21443e8i | 0.103304 | + | 0.178929i | ||||
\(507\) | −2.83877e7 | − | 1.60994e8i | −0.00967391 | − | 0.0548635i | ||||
\(508\) | 6.39514e8 | + | 5.36616e8i | 0.216435 | + | 0.181610i | ||||
\(509\) | −8.33506e8 | + | 6.99395e8i | −0.280154 | + | 0.235077i | −0.772027 | − | 0.635590i | \(-0.780757\pi\) |
0.491873 | + | 0.870667i | \(0.336312\pi\) | |||||||
\(510\) | −1.44047e6 | + | 8.16930e6i | −0.000480848 | + | 0.00272703i | ||||
\(511\) | −7.19782e9 | + | 2.61979e9i | −2.38631 | + | 0.868547i | ||||
\(512\) | −1.34218e8 | −0.0441942 | ||||||||
\(513\) | 4.08136e8 | − | 2.88202e8i | 0.133473 | − | 0.0942509i | ||||
\(514\) | −7.73335e8 | −0.251187 | ||||||||
\(515\) | 1.48174e8 | − | 5.39308e7i | 0.0478020 | − | 0.0173985i | ||||
\(516\) | −3.02390e7 | + | 1.71494e8i | −0.00968931 | + | 0.0549508i | ||||
\(517\) | 6.24809e8 | − | 5.24277e8i | 0.198852 | − | 0.166857i | ||||
\(518\) | 2.96514e9 | + | 2.48805e9i | 0.937328 | + | 0.786512i | ||||
\(519\) | −1.16079e7 | − | 6.58318e7i | −0.00364476 | − | 0.0206705i | ||||
\(520\) | −3.48696e7 | − | 6.03959e7i | −0.0108752 | − | 0.0188363i | ||||
\(521\) | −4.33767e8 | + | 7.51306e8i | −0.134377 | + | 0.232748i | −0.925359 | − | 0.379091i | \(-0.876237\pi\) |
0.790982 | + | 0.611839i | \(0.209570\pi\) | |||||||
\(522\) | 4.00707e9 | + | 1.45845e9i | 1.23305 | + | 0.448793i | ||||
\(523\) | −5.87621e7 | − | 2.13877e7i | −0.0179615 | − | 0.00653743i | 0.333024 | − | 0.942918i | \(-0.391931\pi\) |
−0.350985 | + | 0.936381i | \(0.614153\pi\) | |||||||
\(524\) | 2.70561e7 | − | 4.68625e7i | 0.00821496 | − | 0.0142287i | ||||
\(525\) | −2.39292e8 | − | 4.14466e8i | −0.0721723 | − | 0.125006i | ||||
\(526\) | 1.71517e8 | + | 9.72719e8i | 0.0513873 | + | 0.291432i | ||||
\(527\) | 1.25490e9 | + | 1.05298e9i | 0.373483 | + | 0.313390i | ||||
\(528\) | 1.70075e7 | − | 1.42710e7i | 0.00502831 | − | 0.00421925i | ||||
\(529\) | −9.92186e7 | + | 5.62697e8i | −0.0291406 | + | 0.165264i | ||||
\(530\) | 1.39110e8 | − | 5.06320e7i | 0.0405876 | − | 0.0147727i | ||||
\(531\) | −4.47264e9 | −1.29638 | ||||||||
\(532\) | 2.17555e9 | + | 2.15835e9i | 0.626438 | + | 0.621485i | ||||
\(533\) | 8.12512e9 | 2.32426 | ||||||||
\(534\) | 4.52891e7 | − | 1.64839e7i | 0.0128706 | − | 0.00468452i | ||||
\(535\) | −1.45961e7 | + | 8.27787e7i | −0.00412097 | + | 0.0233712i | ||||
\(536\) | −1.87089e8 | + | 1.56987e8i | −0.0524774 | + | 0.0440338i | ||||
\(537\) | 1.05336e8 | + | 8.83870e7i | 0.0293538 | + | 0.0246308i | ||||
\(538\) | −8.29126e6 | − | 4.70221e7i | −0.00229553 | − | 0.0130186i | ||||
\(539\) | 1.23120e9 | + | 2.13250e9i | 0.338662 | + | 0.586580i | ||||
\(540\) | −7.09524e6 | + | 1.22893e7i | −0.00193905 | + | 0.00335853i | ||||
\(541\) | 2.05869e8 | + | 7.49302e7i | 0.0558986 | + | 0.0203454i | 0.369818 | − | 0.929104i | \(-0.379420\pi\) |
−0.313920 | + | 0.949450i | \(0.601642\pi\) | |||||||
\(542\) | −2.29969e9 | − | 8.37020e8i | −0.620401 | − | 0.225807i | ||||
\(543\) | −1.06517e8 | + | 1.84493e8i | −0.0285508 | + | 0.0494515i | ||||
\(544\) | −3.34013e8 | − | 5.78528e8i | −0.0889544 | − | 0.154074i | ||||
\(545\) | 4.81380e7 | + | 2.73004e8i | 0.0127380 | + | 0.0722407i | ||||
\(546\) | −3.86276e8 | − | 3.24124e8i | −0.101560 | − | 0.0852190i | ||||
\(547\) | 1.66309e9 | − | 1.39550e9i | 0.434470 | − | 0.364564i | −0.399165 | − | 0.916879i | \(-0.630700\pi\) |
0.833635 | + | 0.552315i | \(0.186255\pi\) | |||||||
\(548\) | 4.00108e8 | − | 2.26912e9i | 0.103859 | − | 0.589015i | ||||
\(549\) | 3.49939e9 | − | 1.27367e9i | 0.902587 | − | 0.328515i | ||||
\(550\) | −8.81716e8 | −0.225974 | ||||||||
\(551\) | −5.20799e9 | − | 5.16681e9i | −1.32629 | − | 1.31581i | ||||
\(552\) | −1.04478e8 | −0.0264386 | ||||||||
\(553\) | −6.68062e9 | + | 2.43155e9i | −1.67988 | + | 0.611427i | ||||
\(554\) | −2.32265e8 | + | 1.31724e9i | −0.0580362 | + | 0.329140i | ||||
\(555\) | 1.17708e7 | − | 9.87688e6i | 0.00292268 | − | 0.00245242i | ||||
\(556\) | −1.12586e9 | − | 9.44707e8i | −0.277793 | − | 0.233096i | ||||
\(557\) | −4.65771e8 | − | 2.64152e9i | −0.114203 | − | 0.647680i | −0.987141 | − | 0.159849i | \(-0.948899\pi\) |
0.872938 | − | 0.487831i | \(-0.162212\pi\) | |||||||
\(558\) | 6.98219e8 | + | 1.20935e9i | 0.170126 | + | 0.294668i | ||||
\(559\) | 3.64329e9 | − | 6.31036e9i | 0.882170 | − | 1.52796i | ||||
\(560\) | −8.17893e7 | − | 2.97689e7i | −0.0196806 | − | 0.00716316i | ||||
\(561\) | 1.03838e8 | + | 3.77939e7i | 0.0248305 | + | 0.00903758i | ||||
\(562\) | −2.77894e9 | + | 4.81326e9i | −0.660392 | + | 1.14383i | ||||
\(563\) | −2.71161e8 | − | 4.69665e8i | −0.0640395 | − | 0.110920i | 0.832228 | − | 0.554434i | \(-0.187065\pi\) |
−0.896268 | + | 0.443514i | \(0.853732\pi\) | |||||||
\(564\) | 2.45762e7 | + | 1.39378e8i | 0.00576816 | + | 0.0327128i | ||||
\(565\) | −8.84897e7 | − | 7.42517e7i | −0.0206406 | − | 0.0173196i | ||||
\(566\) | 2.54196e6 | − | 2.13296e6i | 0.000589266 | − | 0.000494453i | ||||
\(567\) | 1.30345e9 | − | 7.39220e9i | 0.300298 | − | 1.70307i | ||||
\(568\) | −3.02408e8 | + | 1.10067e8i | −0.0692426 | + | 0.0252023i | ||||
\(569\) | 8.27657e8 | 0.188347 | 0.0941733 | − | 0.995556i | \(-0.469979\pi\) | ||||
0.0941733 | + | 0.995556i | \(0.469979\pi\) | |||||||
\(570\) | 9.93756e6 | − | 7.01731e6i | 0.00224759 | − | 0.00158712i | ||||
\(571\) | −2.65557e9 | −0.596942 | −0.298471 | − | 0.954419i | \(-0.596477\pi\) | ||||
−0.298471 | + | 0.954419i | \(0.596477\pi\) | |||||||
\(572\) | −8.72970e8 | + | 3.17735e8i | −0.195035 | + | 0.0709871i | ||||
\(573\) | −8.76699e7 | + | 4.97201e8i | −0.0194675 | + | 0.110405i | ||||
\(574\) | 7.76815e9 | − | 6.51825e9i | 1.71446 | − | 1.43860i | ||||
\(575\) | 3.17850e9 | + | 2.66708e9i | 0.697244 | + | 0.585057i | ||||
\(576\) | −9.88851e7 | − | 5.60805e8i | −0.0215602 | − | 0.122274i | ||||
\(577\) | −9.92315e8 | − | 1.71874e9i | −0.215047 | − | 0.372473i | 0.738240 | − | 0.674538i | \(-0.235657\pi\) |
−0.953287 | + | 0.302065i | \(0.902324\pi\) | |||||||
\(578\) | 2.10904e7 | − | 3.65296e7i | 0.00454294 | − | 0.00786860i | ||||
\(579\) | −5.54125e8 | − | 2.01685e8i | −0.118640 | − | 0.0431816i | ||||
\(580\) | 1.95793e8 | + | 7.12629e7i | 0.0416677 | + | 0.0151658i | ||||
\(581\) | −4.66300e8 | + | 8.07655e8i | −0.0986391 | + | 0.170848i | ||||
\(582\) | −2.52292e7 | − | 4.36983e7i | −0.00530486 | − | 0.00918828i | ||||
\(583\) | −3.42437e8 | − | 1.94205e9i | −0.0715715 | − | 0.405902i | ||||
\(584\) | −1.87581e9 | − | 1.57399e9i | −0.389713 | − | 0.327008i | ||||
\(585\) | 2.26664e8 | − | 1.90193e8i | 0.0468097 | − | 0.0392780i | ||||
\(586\) | −2.34697e8 | + | 1.33103e9i | −0.0481799 | + | 0.273242i | ||||
\(587\) | 2.13147e9 | − | 7.75790e8i | 0.434956 | − | 0.158311i | −0.115257 | − | 0.993336i | \(-0.536769\pi\) |
0.550212 | + | 0.835025i | \(0.314547\pi\) | |||||||
\(588\) | −4.27275e8 | −0.0866737 | ||||||||
\(589\) | −2.18883e8 | − | 2.39243e9i | −0.0441376 | − | 0.482431i | ||||
\(590\) | −2.18542e8 | −0.0438080 | ||||||||
\(591\) | −1.67712e7 | + | 6.10421e6i | −0.00334201 | + | 0.00121639i | ||||
\(592\) | −2.14873e8 | + | 1.21861e9i | −0.0425654 | + | 0.241400i | ||||
\(593\) | −4.30163e9 | + | 3.60950e9i | −0.847114 | + | 0.710813i | −0.959152 | − | 0.282891i | \(-0.908707\pi\) |
0.112038 | + | 0.993704i | \(0.464262\pi\) | |||||||
\(594\) | 1.44806e8 | + | 1.21507e8i | 0.0283488 | + | 0.0237875i | ||||
\(595\) | −7.52254e7 | − | 4.26625e8i | −0.0146405 | − | 0.0830303i | ||||
\(596\) | −7.04524e8 | − | 1.22027e9i | −0.136312 | − | 0.236099i | ||||
\(597\) | 1.81947e8 | − | 3.15141e8i | 0.0349973 | − | 0.0606170i | ||||
\(598\) | 4.10808e9 | + | 1.49522e9i | 0.785570 | + | 0.285924i | ||||
\(599\) | 2.58896e9 | + | 9.42305e8i | 0.492189 | + | 0.179142i | 0.576177 | − | 0.817325i | \(-0.304544\pi\) |
−0.0839886 | + | 0.996467i | \(0.526766\pi\) | |||||||
\(600\) | 7.64978e7 | − | 1.32498e8i | 0.0144584 | − | 0.0250426i | ||||
\(601\) | −5.54828e8 | − | 9.60991e8i | −0.104255 | − | 0.180575i | 0.809178 | − | 0.587563i | \(-0.199913\pi\) |
−0.913434 | + | 0.406988i | \(0.866579\pi\) | |||||||
\(602\) | −1.57917e9 | − | 8.95590e9i | −0.295012 | − | 1.67310i | ||||
\(603\) | −7.93779e8 | − | 6.66060e8i | −0.147431 | − | 0.123709i | ||||
\(604\) | −1.49037e9 | + | 1.25057e9i | −0.275210 | + | 0.230928i | ||||
\(605\) | −4.02913e7 | + | 2.28503e8i | −0.00739720 | + | 0.0419516i | ||||
\(606\) | −2.49014e8 | + | 9.06337e7i | −0.0454537 | + | 0.0165438i | ||||
\(607\) | 2.52657e9 | 0.458533 | 0.229266 | − | 0.973364i | \(-0.426367\pi\) | ||||
0.229266 | + | 0.973364i | \(0.426367\pi\) | |||||||
\(608\) | −2.49803e8 | + | 9.47304e8i | −0.0450750 | + | 0.170933i | ||||
\(609\) | 1.50653e9 | 0.270282 | ||||||||
\(610\) | 1.70987e8 | − | 6.22342e7i | 0.0305006 | − | 0.0111013i | ||||
\(611\) | 1.02835e9 | − | 5.83206e9i | 0.182388 | − | 1.03438i | ||||
\(612\) | 2.17119e9 | − | 1.82185e9i | 0.382885 | − | 0.321279i | ||||
\(613\) | 3.69007e9 | + | 3.09633e9i | 0.647027 | + | 0.542920i | 0.906167 | − | 0.422919i | \(-0.138995\pi\) |
−0.259140 | + | 0.965840i | \(0.583439\pi\) | |||||||
\(614\) | 6.82343e8 | + | 3.86976e9i | 0.118963 | + | 0.674675i | ||||
\(615\) | −2.01277e7 | − | 3.48622e7i | −0.00348924 | − | 0.00604355i | ||||
\(616\) | −5.79719e8 | + | 1.00410e9i | −0.0999275 | + | 0.173080i | ||||
\(617\) | −8.13101e8 | − | 2.95944e8i | −0.139363 | − | 0.0507238i | 0.271397 | − | 0.962467i | \(-0.412514\pi\) |
−0.410760 | + | 0.911744i | \(0.634737\pi\) | |||||||
\(618\) | 3.42498e8 | + | 1.24659e8i | 0.0583711 | + | 0.0212454i | ||||
\(619\) | −4.62428e9 | + | 8.00949e9i | −0.783659 | + | 1.35734i | 0.146138 | + | 0.989264i | \(0.453316\pi\) |
−0.929797 | + | 0.368073i | \(0.880018\pi\) | |||||||
\(620\) | 3.41163e7 | + | 5.90912e7i | 0.00574899 | + | 0.00995754i | ||||
\(621\) | −1.54470e8 | − | 8.76041e8i | −0.0258835 | − | 0.146793i | ||||
\(622\) | −4.07180e9 | − | 3.41665e9i | −0.678454 | − | 0.569291i | ||||
\(623\) | −1.92807e9 | + | 1.61784e9i | −0.319459 | + | 0.268058i | ||||
\(624\) | 2.79920e7 | − | 1.58751e8i | 0.00461199 | − | 0.0261559i | ||||
\(625\) | −5.69669e9 | + | 2.07342e9i | −0.933345 | + | 0.339710i | ||||
\(626\) | −4.60894e9 | −0.750916 | ||||||||
\(627\) | −6.90702e7 | − | 1.46599e8i | −0.0111906 | − | 0.0237517i | ||||
\(628\) | 4.13916e8 | 0.0666889 | ||||||||
\(629\) | −5.78738e9 | + | 2.10643e9i | −0.927267 | + | 0.337498i | ||||
\(630\) | 6.41256e7 | − | 3.63675e8i | 0.0102174 | − | 0.0579457i | ||||
\(631\) | −2.41772e9 | + | 2.02870e9i | −0.383091 | + | 0.321452i | −0.813915 | − | 0.580984i | \(-0.802668\pi\) |
0.430823 | + | 0.902436i | \(0.358223\pi\) | |||||||
\(632\) | −1.74103e9 | − | 1.46090e9i | −0.274344 | − | 0.230202i | ||||
\(633\) | −1.69308e6 | − | 9.60191e6i | −0.000265316 | − | 0.00150468i | ||||
\(634\) | −3.03869e8 | − | 5.26316e8i | −0.0473559 | − | 0.0820228i | ||||
\(635\) | −8.65342e7 | + | 1.49882e8i | −0.0134116 | + | 0.0232295i | ||||
\(636\) | 3.21548e8 | + | 1.17034e8i | 0.0495617 | + | 0.0180390i | ||||
\(637\) | 1.68004e10 | + | 6.11486e9i | 2.57533 | + | 0.937343i | ||||
\(638\) | 1.38777e9 | − | 2.40369e9i | 0.211566 | − | 0.366443i | ||||
\(639\) | −6.82696e8 | − | 1.18246e9i | −0.103508 | − | 0.179281i | ||||
\(640\) | −4.83172e6 | − | 2.74020e7i | −0.000728571 | − | 0.00413193i | ||||
\(641\) | 1.23456e9 | + | 1.03592e9i | 0.185143 | + | 0.155354i | 0.730649 | − | 0.682754i | \(-0.239218\pi\) |
−0.545505 | + | 0.838107i | \(0.683662\pi\) | |||||||
\(642\) | −1.48836e8 | + | 1.24888e8i | −0.0221991 | + | 0.0186273i | ||||
\(643\) | −1.05890e9 | + | 6.00531e9i | −0.157078 | + | 0.890834i | 0.799783 | + | 0.600289i | \(0.204948\pi\) |
−0.956861 | + | 0.290545i | \(0.906163\pi\) | |||||||
\(644\) | 5.12711e9 | − | 1.86612e9i | 0.756436 | − | 0.275320i | ||||
\(645\) | −3.61009e7 | −0.00529736 | ||||||||
\(646\) | −4.70489e9 | + | 1.28071e9i | −0.686650 | + | 0.186912i | ||||
\(647\) | 9.37758e8 | 0.136121 | 0.0680606 | − | 0.997681i | \(-0.478319\pi\) | ||||
0.0680606 | + | 0.997681i | \(0.478319\pi\) | |||||||
\(648\) | 2.25491e9 | − | 8.20720e8i | 0.325549 | − | 0.118490i | ||||
\(649\) | −5.05524e8 | + | 2.86697e9i | −0.0725915 | + | 0.411687i | ||||
\(650\) | −4.90411e9 | + | 4.11503e9i | −0.700427 | + | 0.587728i | ||||
\(651\) | 3.77931e8 | + | 3.17122e8i | 0.0536882 | + | 0.0450498i | ||||
\(652\) | 9.05918e8 | + | 5.13772e9i | 0.128004 | + | 0.725945i | ||||
\(653\) | 5.91389e9 | + | 1.02432e10i | 0.831146 | + | 1.43959i | 0.897130 | + | 0.441767i | \(0.145648\pi\) |
−0.0659838 | + | 0.997821i | \(0.521019\pi\) | |||||||
\(654\) | −3.20387e8 | + | 5.54927e8i | −0.0447871 | + | 0.0775735i | ||||
\(655\) | 1.05415e7 | + | 3.83679e6i | 0.00146574 | + | 0.000533487i | ||||
\(656\) | 3.04628e9 | + | 1.10876e9i | 0.421315 | + | 0.153346i | ||||
\(657\) | 5.19465e9 | − | 8.99740e9i | 0.714624 | − | 1.23776i | ||||
\(658\) | −3.69551e9 | − | 6.40082e9i | −0.505690 | − | 0.875880i | ||||
\(659\) | 1.83036e9 | + | 1.03805e10i | 0.249137 | + | 1.41292i | 0.810686 | + | 0.585481i | \(0.199094\pi\) |
−0.561550 | + | 0.827443i | \(0.689795\pi\) | |||||||
\(660\) | 3.52584e6 | + | 2.95853e6i | 0.000477373 | + | 0.000400564i | ||||
\(661\) | 6.14858e9 | − | 5.15927e9i | 0.828076 | − | 0.694838i | −0.126773 | − | 0.991932i | \(-0.540462\pi\) |
0.954848 | + | 0.297094i | \(0.0960174\pi\) | |||||||
\(662\) | 8.42667e8 | − | 4.77900e9i | 0.112889 | − | 0.640228i | ||||
\(663\) | 7.53934e8 | − | 2.74410e8i | 0.100470 | − | 0.0365681i | ||||
\(664\) | −2.98137e8 | −0.0395210 | ||||||||
\(665\) | −3.62332e8 | + | 5.21861e8i | −0.0477784 | + | 0.0688144i | ||||
\(666\) | −5.25005e9 | −0.688658 | ||||||||
\(667\) | −1.22737e10 | + | 4.46725e9i | −1.60152 | + | 0.582907i | ||||
\(668\) | 4.30539e8 | − | 2.44171e9i | 0.0558850 | − | 0.316940i | ||||
\(669\) | 2.33754e8 | − | 1.96143e8i | 0.0301834 | − | 0.0253269i | ||||
\(670\) | −3.87856e7 | − | 3.25450e7i | −0.00498206 | − | 0.00418044i | ||||
\(671\) | −4.20905e8 | − | 2.38707e9i | −0.0537843 | − | 0.305026i | ||||
\(672\) | −1.00593e8 | − | 1.74232e8i | −0.0127872 | − | 0.0221481i | ||||
\(673\) | 2.44847e9 | − | 4.24088e9i | 0.309629 | − | 0.536294i | −0.668652 | − | 0.743576i | \(-0.733128\pi\) |
0.978281 | + | 0.207282i | \(0.0664617\pi\) | |||||||
\(674\) | 2.21101e9 | + | 8.04742e8i | 0.278151 | + | 0.101239i | ||||
\(675\) | 1.22409e9 | + | 4.45531e8i | 0.153196 | + | 0.0557589i | ||||
\(676\) | −1.36462e9 | + | 2.36359e9i | −0.169902 | + | 0.294278i | ||||
\(677\) | 3.79960e8 | + | 6.58110e8i | 0.0470628 | + | 0.0815151i | 0.888597 | − | 0.458688i | \(-0.151681\pi\) |
−0.841534 | + | 0.540204i | \(0.818347\pi\) | |||||||
\(678\) | −4.63656e7 | − | 2.62952e8i | −0.00571336 | − | 0.0324021i | ||||
\(679\) | 2.01859e9 | + | 1.69380e9i | 0.247460 | + | 0.207643i | ||||
\(680\) | 1.06089e8 | − | 8.90190e7i | 0.0129386 | − | 0.0108568i | ||||
\(681\) | −1.45057e8 | + | 8.22658e8i | −0.0176004 | + | 0.0998170i | ||||
\(682\) | 8.54112e8 | − | 3.10871e8i | 0.103103 | − | 0.0375263i | ||||
\(683\) | −5.38849e9 | −0.647134 | −0.323567 | − | 0.946205i | \(-0.604882\pi\) | ||||
−0.323567 | + | 0.946205i | \(0.604882\pi\) | |||||||
\(684\) | −4.14219e9 | − | 3.45831e8i | −0.494918 | − | 0.0413207i | ||||
\(685\) | 4.77671e8 | 0.0567821 | ||||||||
\(686\) | 1.10525e10 | − | 4.02277e9i | 1.30715 | − | 0.475763i | ||||
\(687\) | −1.60661e8 | + | 9.11156e8i | −0.0189044 | + | 0.107212i | ||||
\(688\) | 2.22706e9 | − | 1.86873e9i | 0.260719 | − | 0.218769i | ||||
\(689\) | −1.09683e10 | − | 9.20354e9i | −1.27754 | − | 1.07198i | ||||
\(690\) | −3.76113e6 | − | 2.13304e7i | −0.000435859 | − | 0.00247188i | ||||
\(691\) | 2.12238e9 | + | 3.67607e9i | 0.244709 | + | 0.423848i | 0.962050 | − | 0.272874i | \(-0.0879743\pi\) |
−0.717341 | + | 0.696722i | \(0.754641\pi\) | |||||||
\(692\) | −5.58002e8 | + | 9.66488e8i | −0.0640125 | + | 0.110873i | ||||
\(693\) | −4.62258e9 | − | 1.68248e9i | −0.527616 | − | 0.192036i | ||||
\(694\) | 1.07614e10 | + | 3.91684e9i | 1.22211 | + | 0.444813i | ||||
\(695\) | 1.52342e8 | − | 2.63865e8i | 0.0172137 | − | 0.0298150i | ||||
\(696\) | 2.40807e8 | + | 4.17090e8i | 0.0270730 | + | 0.0468918i | ||||
\(697\) | 2.80181e9 | + | 1.58898e10i | 0.313418 | + | 1.77748i | ||||
\(698\) | −8.75545e9 | − | 7.34669e9i | −0.974506 | − | 0.817708i | ||||
\(699\) | 6.36663e8 | − | 5.34223e8i | 0.0705081 | − | 0.0591633i | ||||
\(700\) | −1.38743e9 | + | 7.86849e9i | −0.152886 | + | 0.867058i | ||||
\(701\) | −8.69424e9 | + | 3.16444e9i | −0.953276 | + | 0.346964i | −0.771395 | − | 0.636357i | \(-0.780441\pi\) |
−0.181881 | + | 0.983321i | \(0.558218\pi\) | |||||||
\(702\) | 1.37250e9 | 0.149738 | ||||||||
\(703\) | 8.20098e9 | + | 3.78462e9i | 0.890270 | + | 0.410845i | ||||
\(704\) | −3.70653e8 | −0.0400372 | ||||||||
\(705\) | −2.75709e7 | + | 1.00350e7i | −0.00296339 | + | 0.00107859i | ||||
\(706\) | −3.09810e8 | + | 1.75702e9i | −0.0331344 | + | 0.187914i | ||||
\(707\) | 1.06011e10 | − | 8.89542e9i | 1.12820 | − | 0.946670i | ||||
\(708\) | −3.86969e8 | − | 3.24705e8i | −0.0409788 | − | 0.0343853i | ||||
\(709\) | −2.55004e8 | − | 1.44620e9i | −0.0268711 | − | 0.152394i | 0.968420 | − | 0.249324i | \(-0.0802085\pi\) |
−0.995291 | + | 0.0969309i | \(0.969097\pi\) | |||||||
\(710\) | −3.33579e7 | − | 5.77775e7i | −0.00349779 | − | 0.00605836i | ||||
\(711\) | 4.82139e9 | − | 8.35089e9i | 0.503070 | − | 0.871343i | ||||
\(712\) | −7.56094e8 | − | 2.75196e8i | −0.0785047 | − | 0.0285734i | ||||
\(713\) | −4.01934e9 | − | 1.46292e9i | −0.415280 | − | 0.151150i | ||||
\(714\) | 5.00670e8 | − | 8.67186e8i | 0.0514763 | − | 0.0891596i | ||||
\(715\) | −9.62953e7 | − | 1.66788e8i | −0.00985222 | − | 0.0170645i | ||||
\(716\) | −3.98633e8 | − | 2.26076e9i | −0.0405861 | − | 0.230175i | ||||
\(717\) | 2.00665e8 | + | 1.68378e8i | 0.0203308 | + | 0.0170595i | ||||
\(718\) | −7.05020e9 | + | 5.91582e9i | −0.710830 | + | 0.596457i | ||||
\(719\) | −1.82268e9 | + | 1.03369e10i | −0.182877 | + | 1.03715i | 0.745776 | + | 0.666196i | \(0.232079\pi\) |
−0.928653 | + | 0.370949i | \(0.879032\pi\) | |||||||
\(720\) | 1.10935e8 | − | 4.03770e7i | 0.0110765 | − | 0.00403153i | ||||
\(721\) | −1.90341e10 | −1.89130 | ||||||||
\(722\) | 6.22112e9 | + | 3.52621e9i | 0.615160 | + | 0.348680i | ||||
\(723\) | −9.11284e8 | −0.0896746 | ||||||||
\(724\) | 3.34207e9 | − | 1.21641e9i | 0.327288 | − | 0.119123i | ||||
\(725\) | 3.32132e9 | − | 1.88362e10i | 0.323689 | − | 1.83573i | ||||
\(726\) | −4.10849e8 | + | 3.44743e8i | −0.0398477 | + | 0.0334362i | ||||
\(727\) | −9.89699e9 | − | 8.30456e9i | −0.955285 | − | 0.801579i | 0.0248947 | − | 0.999690i | \(-0.492075\pi\) |
−0.980180 | + | 0.198111i | \(0.936519\pi\) | |||||||
\(728\) | 1.46182e9 | + | 8.29042e9i | 0.140422 | + | 0.796373i | ||||
\(729\) | 5.02049e9 | + | 8.69574e9i | 0.479954 | + | 0.831304i | ||||
\(730\) | 2.53821e8 | − | 4.39630e8i | 0.0241489 | − | 0.0418271i | ||||
\(731\) | 1.35971e10 | + | 4.94896e9i | 1.28747 | + | 0.468601i | ||||
\(732\) | 3.95230e8 | + | 1.43852e8i | 0.0372444 | + | 0.0135559i | ||||
\(733\) | 4.83479e9 | − | 8.37409e9i | 0.453433 | − | 0.785369i | −0.545163 | − | 0.838330i | \(-0.683532\pi\) |
0.998597 | + | 0.0529605i | \(0.0168657\pi\) | |||||||
\(734\) | −4.27933e9 | − | 7.41202e9i | −0.399429 | − | 0.691832i | ||||
\(735\) | −1.53815e7 | − | 8.72330e7i | −0.00142887 | − | 0.00810355i | ||||
\(736\) | 1.33617e9 | + | 1.12118e9i | 0.123535 | + | 0.103658i | ||||
\(737\) | −5.16663e8 | + | 4.33532e8i | −0.0475413 | + | 0.0398919i | ||||
\(738\) | −2.38839e9 | + | 1.35452e10i | −0.218730 | + | 1.24048i | ||||
\(739\) | 1.07326e10 | − | 3.90634e9i | 0.978247 | − | 0.356053i | 0.197089 | − | 0.980386i | \(-0.436851\pi\) |
0.781158 | + | 0.624333i | \(0.214629\pi\) | |||||||
\(740\) | −2.56528e8 | −0.0232714 | ||||||||
\(741\) | −1.06836e9 | − | 4.93030e8i | −0.0964613 | − | 0.0445153i | ||||
\(742\) | −1.78699e10 | −1.60586 | ||||||||
\(743\) | −6.03223e9 | + | 2.19555e9i | −0.539532 | + | 0.196373i | −0.597389 | − | 0.801951i | \(-0.703795\pi\) |
0.0578577 | + | 0.998325i | \(0.481573\pi\) | |||||||
\(744\) | −2.73873e7 | + | 1.55321e8i | −0.00243806 | + | 0.0138269i | ||||
\(745\) | 2.23770e8 | − | 1.87765e8i | 0.0198269 | − | 0.0166367i | ||||
\(746\) | 2.38225e9 | + | 1.99895e9i | 0.210088 | + | 0.176285i | ||||
\(747\) | −2.19653e8 | − | 1.24571e9i | −0.0192803 | − | 0.109344i | ||||
\(748\) | −9.22405e8 | − | 1.59765e9i | −0.0805872 | − | 0.139581i | ||||
\(749\) | 5.07323e9 | − | 8.78710e9i | 0.441162 | − | 0.764116i | ||||
\(750\) | 5.96769e7 | + | 2.17206e7i | 0.00516526 | + | 0.00188000i | ||||
\(751\) | −1.10602e10 | − | 4.02557e9i | −0.952843 | − | 0.346807i | −0.181618 | − | 0.983369i | \(-0.558133\pi\) |
−0.771225 | + | 0.636563i | \(0.780356\pi\) | |||||||
\(752\) | 1.18140e9 | − | 2.04624e9i | 0.101305 | − | 0.175466i | ||||
\(753\) | −6.59725e8 | − | 1.14268e9i | −0.0563093 | − | 0.0975306i | ||||
\(754\) | −3.49942e9 | − | 1.98462e10i | −0.297301 | − | 1.68608i | ||||
\(755\) | −3.08969e8 | − | 2.59256e8i | −0.0261277 | − | 0.0219237i | ||||
\(756\) | 1.31220e9 | − | 1.10106e9i | 0.110452 | − | 0.0926800i | ||||
\(757\) | 3.52456e8 | − | 1.99888e9i | 0.0295304 | − | 0.167475i | −0.966476 | − | 0.256757i | \(-0.917346\pi\) |
0.996006 | + | 0.0892818i | \(0.0284572\pi\) | |||||||
\(758\) | 1.13506e10 | − | 4.13129e9i | 0.946624 | − | 0.344543i | ||||
\(759\) | −2.88526e8 | −0.0239518 | ||||||||
\(760\) | −2.02395e8 | − | 1.68980e7i | −0.0167245 | − | 0.00139633i | ||||
\(761\) | −1.69690e10 | −1.39575 | −0.697877 | − | 0.716217i | \(-0.745872\pi\) | ||||
−0.697877 | + | 0.716217i | \(0.745872\pi\) | |||||||
\(762\) | −3.75916e8 | + | 1.36822e8i | −0.0307785 | + | 0.0112025i | ||||
\(763\) | 5.81080e9 | − | 3.29547e10i | 0.473588 | − | 2.68585i | ||||
\(764\) | 6.45678e9 | − | 5.41788e9i | 0.523828 | − | 0.439544i | ||||
\(765\) | 4.50111e8 | + | 3.77688e8i | 0.0363500 | + | 0.0305013i | ||||
\(766\) | 1.84991e9 | + | 1.04914e10i | 0.148713 | + | 0.843396i | ||||
\(767\) | 1.05686e10 | + | 1.83054e10i | 0.845737 | + | 1.46486i | ||||
\(768\) | 3.21579e7 | − | 5.56992e7i | 0.00256168 | − | 0.00443695i | ||||
\(769\) | −2.16072e10 | − | 7.86437e9i | −1.71339 | − | 0.623622i | −0.716154 | − | 0.697942i | \(-0.754099\pi\) |
−0.997234 | + | 0.0743196i | \(0.976322\pi\) | |||||||
\(770\) | −2.25868e8 | − | 8.22093e7i | −0.0178294 | − | 0.00648938i | ||||
\(771\) | 1.85288e8 | − | 3.20927e8i | 0.0145598 | − | 0.0252183i | ||||
\(772\) | 4.92236e9 | + | 8.52578e9i | 0.385046 | + | 0.666920i | ||||
\(773\) | −4.41204e8 | − | 2.50219e9i | −0.0343567 | − | 0.194846i | 0.962799 | − | 0.270220i | \(-0.0870963\pi\) |
−0.997155 | + | 0.0753732i | \(0.975985\pi\) | |||||||
\(774\) | 9.44893e9 | + | 7.92860e9i | 0.732469 | + | 0.614615i | ||||
\(775\) | 4.79817e9 | − | 4.02614e9i | 0.370271 | − | 0.310694i | ||||
\(776\) | −1.46280e8 | + | 8.29597e8i | −0.0112375 | + | 0.0637311i | ||||
\(777\) | −1.74295e9 | + | 6.34384e8i | −0.133295 | + | 0.0485153i | ||||
\(778\) | 9.76681e9 | 0.743574 | ||||||||
\(779\) | 1.34952e10 | − | 1.94370e10i | 1.02282 | − | 1.47315i | ||||
\(780\) | 3.34184e7 | 0.00252147 | ||||||||
\(781\) | −8.35124e8 | + | 3.03960e8i | −0.0627296 | + | 0.0228317i | ||||
\(782\) | −1.50751e9 | + | 8.54954e9i | −0.112730 | + | 0.639321i | ||||
\(783\) | −3.14123e9 | + | 2.63581e9i | −0.233848 | + | 0.196222i | ||||
\(784\) | 5.46441e9 | + | 4.58519e9i | 0.404983 | + | 0.339821i | ||||
\(785\) | 1.49006e7 | + | 8.45056e7i | 0.00109941 | + | 0.00623507i | ||||
\(786\) | 1.29650e7 | + | 2.24561e7i | 0.000952346 | + | 0.00164951i | ||||
\(787\) | −3.33136e9 | + | 5.77008e9i | −0.243618 | + | 0.421959i | −0.961742 | − | 0.273956i | \(-0.911668\pi\) |
0.718124 | + | 0.695915i | \(0.245001\pi\) | |||||||
\(788\) | 2.79992e8 | + | 1.01909e8i | 0.0203847 | + | 0.00741941i | ||||
\(789\) | −4.44765e8 | − | 1.61881e8i | −0.0322375 | − | 0.0117335i | ||||
\(790\) | 2.35583e8 | − | 4.08041e8i | 0.0170000 | − | 0.0294448i | ||||
\(791\) | 6.97199e9 | + | 1.20758e10i | 0.500886 | + | 0.867560i | ||||
\(792\) | −2.73079e8 | − | 1.54871e9i | −0.0195322 | − | 0.110773i | ||||
\(793\) | −1.34817e10 | − | 1.13125e10i | −0.960040 | − | 0.805569i | ||||
\(794\) | 5.12898e8 | − | 4.30372e8i | 0.0363629 | − | 0.0305121i | ||||
\(795\) | −1.23183e7 | + | 6.98607e7i | −0.000869495 | + | 0.00493115i | ||||
\(796\) | −5.70876e9 | + | 2.07782e9i | −0.401186 | + | 0.146020i | ||||
\(797\) | 8.51927e9 | 0.596071 | 0.298036 | − | 0.954555i | \(-0.403669\pi\) | ||||
0.298036 | + | 0.954555i | \(0.403669\pi\) | |||||||
\(798\) | −1.41695e9 | + | 3.85705e8i | −0.0987060 | + | 0.0268686i | ||||
\(799\) | 1.17600e10 | 0.815634 | ||||||||
\(800\) | −2.40019e9 | + | 8.73599e8i | −0.165741 | + | 0.0603250i | ||||
\(801\) | 5.92803e8 | − | 3.36195e9i | 0.0407565 | − | 0.231142i | ||||
\(802\) | −7.08928e9 | + | 5.94861e9i | −0.485279 | + | 0.407198i | ||||
\(803\) | −5.18022e9 | − | 4.34672e9i | −0.353056 | − | 0.296249i | ||||
\(804\) | −2.03223e7 | − | 1.15254e8i | −0.00137904 | − | 0.00782094i | ||||
\(805\) | 5.65560e8 | + | 9.79578e8i | 0.0382114 | + | 0.0661841i | ||||
\(806\) | 3.29971e9 | − | 5.71527e9i | 0.221975 | − | 0.384472i | ||||
\(807\) | 2.15003e7 | + | 7.82547e6i | 0.00144008 | + | 0.000524147i | ||||
\(808\) | 4.15724e9 | + | 1.51311e9i | 0.277246 | + | 0.100909i | ||||
\(809\) | −4.39338e9 | + | 7.60956e9i | −0.291728 | + | 0.505289i | −0.974219 | − | 0.225606i | \(-0.927564\pi\) |
0.682490 | + | 0.730895i | \(0.260897\pi\) | |||||||
\(810\) | 2.48734e8 | + | 4.30819e8i | 0.0164451 | + | 0.0284838i | ||||
\(811\) | 3.74491e9 | + | 2.12384e10i | 0.246529 | + | 1.39814i | 0.816915 | + | 0.576759i | \(0.195683\pi\) |
−0.570386 | + | 0.821377i | \(0.693206\pi\) | |||||||
\(812\) | −1.92670e10 | − | 1.61669e10i | −1.26290 | − | 1.05970i | ||||
\(813\) | 8.98352e8 | − | 7.53807e8i | 0.0586313 | − | 0.0491975i | ||||
\(814\) | −5.93391e8 | + | 3.36529e9i | −0.0385616 | + | 0.218694i | ||||
\(815\) | −1.01631e9 | + | 3.69907e8i | −0.0657619 | + | 0.0239354i | ||||
\(816\) | 3.20112e8 | 0.0206246 | ||||||||
\(817\) | −9.04445e9 | − | 1.91966e10i | −0.580236 | − | 1.23153i | ||||
\(818\) | −1.71765e10 | −1.09723 | ||||||||
\(819\) | −3.35630e10 | + | 1.22159e10i | −2.13485 | + | 0.777022i | ||||
\(820\) | −1.16701e8 | + | 6.61847e8i | −0.00739142 | + | 0.0419188i | ||||
\(821\) | 7.25893e9 | − | 6.09097e9i | 0.457796 | − | 0.384136i | −0.384523 | − | 0.923115i | \(-0.625634\pi\) |
0.842319 | + | 0.538979i | \(0.181190\pi\) | |||||||
\(822\) | 8.45803e8 | + | 7.09713e8i | 0.0531151 | + | 0.0445689i | ||||
\(823\) | 2.70904e8 | + | 1.53637e9i | 0.0169401 | + | 0.0960720i | 0.992106 | − | 0.125405i | \(-0.0400232\pi\) |
−0.975165 | + | 0.221478i | \(0.928912\pi\) | |||||||
\(824\) | −3.04245e9 | − | 5.26968e9i | −0.189443 | − | 0.328125i | ||||
\(825\) | 2.11255e8 | − | 3.65904e8i | 0.0130984 | − | 0.0226871i | ||||
\(826\) | 2.47896e10 | + | 9.02266e9i | 1.53052 | + | 0.557063i | ||||
\(827\) | 2.79016e10 | + | 1.01553e10i | 1.71538 | + | 0.624346i | 0.997423 | − | 0.0717451i | \(-0.0228568\pi\) |
0.717953 | + | 0.696091i | \(0.245079\pi\) | |||||||
\(828\) | −3.70023e9 | + | 6.40898e9i | −0.226528 | + | 0.392358i | ||||
\(829\) | 2.96170e9 | + | 5.12981e9i | 0.180551 | + | 0.312724i | 0.942068 | − | 0.335421i | \(-0.108879\pi\) |
−0.761517 | + | 0.648145i | \(0.775545\pi\) | |||||||
\(830\) | −1.07327e7 | − | 6.08680e7i | −0.000651530 | − | 0.00369501i | ||||
\(831\) | −4.90993e8 | − | 4.11992e8i | −0.0296805 | − | 0.0249049i | ||||
\(832\) | −2.06158e9 | + | 1.72987e9i | −0.124099 | + | 0.104131i | ||||
\(833\) | −6.16515e9 | + | 3.49643e10i | −0.369561 | + | 2.09588i | ||||
\(834\) | 6.61795e8 | − | 2.40874e8i | 0.0395041 | − | 0.0143783i | ||||
\(835\) | 5.14001e8 | 0.0305535 | ||||||||
\(836\) | −6.89853e8 | + | 2.61606e9i | −0.0408352 | + | 0.154855i | ||||
\(837\) | −1.34285e9 | −0.0791566 | ||||||||
\(838\) | 9.43365e9 | − | 3.43357e9i | 0.553765 | − | 0.201554i | ||||
\(839\) | −4.35125e9 | + | 2.46771e10i | −0.254359 | + | 1.44254i | 0.543354 | + | 0.839503i | \(0.317154\pi\) |
−0.797713 | + | 0.603037i | \(0.793957\pi\) | |||||||
\(840\) | 3.19502e7 | − | 2.68094e7i | 0.00185993 | − | 0.00156066i | ||||
\(841\) | 3.29086e10 | + | 2.76136e10i | 1.90776 | + | 1.60080i | ||||
\(842\) | 2.11696e8 | + | 1.20059e9i | 0.0122214 | + | 0.0693110i | ||||
\(843\) | −1.33164e9 | − | 2.30647e9i | −0.0765581 | − | 0.132602i | ||||
\(844\) | −8.13875e7 | + | 1.40967e8i | −0.00465971 | + | 0.00807086i | ||||
\(845\) | −5.31678e8 | − | 1.93515e8i | −0.0303145 | − | 0.0110336i | ||||
\(846\) | 9.42024e9 | + | 3.42869e9i | 0.534891 | + | 0.194684i | ||||
\(847\) | 1.40042e10 | − | 2.42560e10i | 0.791894 | − | 1.37160i | ||||
\(848\) | −2.85635e9 | − | 4.94735e9i | −0.160852 | − | 0.278604i | ||||
\(849\) | 276117. | + | 1.56594e6i | 1.54852e−5 | + | 8.78209e-5i | ||||
\(850\) | −9.73863e9 | − | 8.17168e9i | −0.543916 | − | 0.456400i | ||||
\(851\) | 1.23187e10 | − | 1.03366e10i | 0.685189 | − | 0.574942i | ||||
\(852\) | 2.67785e7 | − | 1.51868e8i | 0.00148336 | − | 0.00841256i | ||||
\(853\) | 8.62288e9 | − | 3.13847e9i | 0.475698 | − | 0.173140i | −0.0930340 | − | 0.995663i | \(-0.529657\pi\) |
0.568732 | + | 0.822523i | \(0.307434\pi\) | |||||||
\(854\) | −2.19647e10 | −1.20677 | ||||||||
\(855\) | −7.85098e7 | − | 8.58123e8i | −0.00429578 | − | 0.0469535i | ||||
\(856\) | 3.24366e9 | 0.176757 | ||||||||
\(857\) | −1.40480e10 | + | 5.11304e9i | −0.762396 | + | 0.277490i | −0.693812 | − | 0.720156i | \(-0.744070\pi\) |
−0.0685839 | + | 0.997645i | \(0.521848\pi\) | |||||||
\(858\) | 7.73023e7 | − | 4.38403e8i | 0.00417818 | − | 0.0236956i | ||||
\(859\) | −1.71720e10 | + | 1.44090e10i | −0.924368 | + | 0.775637i | −0.974798 | − | 0.223091i | \(-0.928385\pi\) |
0.0504297 | + | 0.998728i | \(0.483941\pi\) | |||||||
\(860\) | 4.61693e8 | + | 3.87407e8i | 0.0247519 | + | 0.0207693i | ||||
\(861\) | 8.43806e8 | + | 4.78546e9i | 0.0450538 | + | 0.255513i | ||||
\(862\) | 6.65271e9 | + | 1.15228e10i | 0.353772 | + | 0.612750i | ||||
\(863\) | −1.76423e10 | + | 3.05574e10i | −0.934369 | + | 1.61837i | −0.158612 | + | 0.987341i | \(0.550702\pi\) |
−0.775756 | + | 0.631033i | \(0.782631\pi\) | |||||||
\(864\) | 5.14578e8 | + | 1.87291e8i | 0.0271427 | + | 0.00987914i | ||||
\(865\) | −2.17407e8 | − | 7.91296e7i | −0.0114213 | − | 0.00415703i | ||||
\(866\) | −1.49470e9 | + | 2.58889e9i | −0.0782062 | + | 0.135457i | ||||
\(867\) | 1.01063e7 | + | 1.75047e7i | 0.000526655 | + | 0.000912193i | ||||
\(868\) | −1.43025e9 | − | 8.11132e9i | −0.0742320 | − | 0.420991i | ||||
\(869\) | −4.80799e9 | − | 4.03438e9i | −0.248539 | − | 0.208549i | ||||
\(870\) | −7.64847e7 | + | 6.41783e7i | −0.00393783 | + | 0.00330423i | ||||
\(871\) | −8.50356e8 | + | 4.82261e9i | −0.0436051 | + | 0.247297i | ||||
\(872\) | 1.00525e10 | − | 3.65880e9i | 0.513410 | − | 0.186866i | ||||
\(873\) | −3.57410e9 | −0.181809 | ||||||||
\(874\) | 1.04001e10 | − | 7.34393e9i | 0.526923 | − | 0.372082i | ||||
\(875\) | −3.31651e9 | −0.167361 | ||||||||
\(876\) | 1.10263e9 | − | 4.01325e8i | 0.0554199 | − | 0.0201712i | ||||
\(877\) | −9.08867e8 | + | 5.15444e9i | −0.0454990 | + | 0.258037i | −0.999069 | − | 0.0431328i | \(-0.986266\pi\) |
0.953570 | + | 0.301170i | \(0.0973773\pi\) | |||||||
\(878\) | 2.04248e10 | − | 1.71385e10i | 1.01842 | − | 0.854557i | ||||
\(879\) | −4.96135e8 | − | 4.16307e8i | −0.0246399 | − | 0.0206753i | ||||
\(880\) | −1.33432e7 | − | 7.56730e7i | −0.000660040 | − | 0.00374328i | ||||
\(881\) | −1.05074e10 | − | 1.81994e10i | −0.517703 | − | 0.896688i | −0.999789 | − | 0.0205641i | \(-0.993454\pi\) |
0.482085 | − | 0.876124i | \(-0.339880\pi\) | |||||||
\(882\) | −1.51325e10 | + | 2.62102e10i | −0.742626 | + | 1.28627i | ||||
\(883\) | −4.48137e8 | − | 1.63108e8i | −0.0219052 | − | 0.00797286i | 0.331044 | − | 0.943615i | \(-0.392599\pi\) |
−0.352950 | + | 0.935642i | \(0.614821\pi\) | |||||||
\(884\) | −1.25868e10 | − | 4.58122e9i | −0.612819 | − | 0.223048i | ||||
\(885\) | 5.23617e7 | − | 9.06931e7i | 0.00253929 | − | 0.00439818i | ||||
\(886\) | −1.35062e10 | − | 2.33934e10i | −0.652402 | − | 1.12999i | ||||
\(887\) | −1.23956e9 | − | 7.02990e9i | −0.0596397 | − | 0.338233i | 0.940358 | − | 0.340185i | \(-0.110490\pi\) |
−0.999998 | + | 0.00195191i | \(0.999379\pi\) | |||||||
\(888\) | −4.54229e8 | − | 3.81143e8i | −0.0217685 | − | 0.0182660i | ||||
\(889\) | 1.60037e10 | − | 1.34287e10i | 0.763947 | − | 0.641028i | ||||
\(890\) | 2.89655e7 | − | 1.64272e8i | 0.00137726 | − | 0.00781084i | ||||
\(891\) | 6.22712e9 | − | 2.26649e9i | 0.294927 | − | 0.107345i | ||||
\(892\) | −5.09433e9 | −0.240331 | ||||||||
\(893\) | −1.22435e10 | − | 1.21467e10i | −0.575341 | − | 0.570791i | ||||
\(894\) | 6.75203e8 | 0.0316048 | ||||||||
\(895\) | 4.47208e8 | − | 1.62771e8i | 0.0208511 | − | 0.00758919i | ||||
\(896\) | −5.83243e8 | + | 3.30774e9i | −0.0270877 | + | 0.153622i | ||||
\(897\) | −1.60478e9 | + | 1.34657e9i | −0.0742407 | + | 0.0622953i | ||||
\(898\) | −2.93323e9 | − | 2.46127e9i | −0.135170 | − | 0.113421i | ||||
\(899\) | 3.42383e9 | + | 1.94175e10i | 0.157164 | + | 0.891321i | ||||
\(900\) | −5.41852e9 | − | 9.38516e9i | −0.247761 | − | 0.429134i | ||||
\(901\) | 1.42166e10 | − | 2.46239e10i | 0.647528 | − | 1.12155i | ||||
\(902\) | 8.41256e9 | + | 3.06192e9i | 0.381685 | + | 0.138922i | ||||
\(903\) | 4.09498e9 | + | 1.49045e9i | 0.185074 | + | 0.0673613i | ||||
\(904\) | −2.22883e9 | + | 3.86045e9i | −0.100343 | + | 0.173799i | ||||
\(905\) | 3.68656e8 | + | 6.38531e8i | 0.0165330 | + | 0.0286360i | ||||
\(906\) | −1.61889e8 | − | 9.18119e8i | −0.00723218 | − | 0.0410157i | ||||
\(907\) | −1.11428e10 | − | 9.34993e9i | −0.495872 | − | 0.416086i | 0.360253 | − | 0.932854i | \(-0.382690\pi\) |
−0.856125 | + | 0.516769i | \(0.827135\pi\) | |||||||
\(908\) | 1.06833e10 | − | 8.96431e9i | 0.473590 | − | 0.397390i | ||||
\(909\) | −3.25942e9 | + | 1.84851e10i | −0.143935 | + | 0.816297i | ||||
\(910\) | −1.63996e9 | + | 5.96895e8i | −0.0721419 | + | 0.0262575i | ||||
\(911\) | 2.52003e10 | 1.10431 | 0.552156 | − | 0.833741i | \(-0.313805\pi\) | ||||
0.552156 | + | 0.833741i | \(0.313805\pi\) | |||||||
\(912\) | −3.33271e8 | − | 3.30636e8i | −0.0145484 | − | 0.0144334i | ||||
\(913\) | −8.23331e8 | −0.0358036 | ||||||||
\(914\) | 7.74900e9 | − | 2.82041e9i | 0.335687 | − | 0.122180i | ||||
\(915\) | −1.51411e7 | + | 8.58692e7i | −0.000653405 | + | 0.00370564i | ||||
\(916\) | 1.18325e10 | − | 9.92865e9i | 0.508678 | − | 0.426831i | ||||
\(917\) | −1.03733e9 | − | 8.70426e8i | −0.0444248 | − | 0.0372769i | ||||
\(918\) | 4.73281e8 | + | 2.68411e9i | 0.0201916 | + | 0.114512i | ||||
\(919\) | 1.30478e9 | + | 2.25995e9i | 0.0554542 | + | 0.0960494i | 0.892420 | − | 0.451206i | \(-0.149006\pi\) |
−0.836966 | + | 0.547255i | \(0.815673\pi\) | |||||||
\(920\) | −1.80800e8 | + | 3.13155e8i | −0.00765494 | + | 0.0132587i | ||||
\(921\) | −1.76940e9 | − | 6.44010e8i | −0.0746308 | − | 0.0271634i | ||||
\(922\) | −2.82006e10 | − | 1.02642e10i | −1.18495 | − | 0.431286i | ||||
\(923\) | −3.22636e9 | + | 5.58822e9i | −0.135054 | + | 0.233920i | ||||
\(924\) | −2.77796e8 | − | 4.81157e8i | −0.0115844 | − | 0.0200648i | ||||
\(925\) | 4.08915e9 | + | 2.31907e10i | 0.169878 | + | 0.963426i | ||||
\(926\) | −1.90547e10 | − | 1.59888e10i | −0.788614 | − | 0.661725i | ||||
\(927\) | 1.97769e10 | − | 1.65948e10i | 0.815416 | − | 0.684215i | ||||
\(928\) | 1.39621e9 | − | 7.91830e9i | 0.0573499 | − | 0.325248i | ||||
\(929\) | −1.51497e9 | + | 5.51405e8i | −0.0619940 | + | 0.0225640i | −0.372831 | − | 0.927899i | \(-0.621613\pi\) |
0.310837 | + | 0.950463i | \(0.399391\pi\) | |||||||
\(930\) | −3.26965e7 | −0.00133294 | ||||||||
\(931\) | 4.25323e10 | − | 3.00338e10i | 1.72741 | − | 1.21979i | ||||
\(932\) | −1.38751e10 | −0.561411 | ||||||||
\(933\) | 2.39347e9 | − | 8.71150e8i | 0.0964809 | − | 0.0351162i | ||||
\(934\) | 5.11930e9 | − | 2.90330e10i | 0.205587 | − | 1.16594i | ||||
\(935\) | 2.92973e8 | − | 2.45833e8i | 0.0117216 | − | 0.00983559i | ||||
\(936\) | −8.74682e9 | − | 7.33945e9i | −0.348646 | − | 0.292549i | ||||
\(937\) | −8.00877e9 | − | 4.54200e10i | −0.318037 | − | 1.80368i | −0.554662 | − | 0.832076i | \(-0.687152\pi\) |
0.236625 | − | 0.971601i | \(-0.423959\pi\) | |||||||
\(938\) | 3.05587e9 | + | 5.29292e9i | 0.120900 | + | 0.209404i | ||||
\(939\) | 1.10428e9 | − | 1.91267e9i | 0.0435262 | − | 0.0753895i | ||||
\(940\) | 4.60291e8 | + | 1.67532e8i | 0.0180753 | + | 0.00657887i | ||||
\(941\) | 3.07632e10 | + | 1.11969e10i | 1.20356 | + | 0.438061i | 0.864466 | − | 0.502691i | \(-0.167657\pi\) |
0.339096 | + | 0.940752i | \(0.389879\pi\) | |||||||
\(942\) | −9.91724e7 | + | 1.71772e8i | −0.00386556 | + | 0.00669535i | ||||
\(943\) | −2.10645e10 | − | 3.64849e10i | −0.818015 | − | 1.41684i | ||||
\(944\) | 1.46445e9 | + | 8.30530e9i | 0.0566594 | + | 0.321331i | ||||
\(945\) | 2.72032e8 | + | 2.28262e8i | 0.0104860 | + | 0.00879878i | ||||
\(946\) | 6.15022e9 | − | 5.16064e9i | 0.236195 | − | 0.198191i | ||||
\(947\) | 4.85988e8 | − | 2.75617e9i | 0.0185952 | − | 0.105458i | −0.974098 | − | 0.226128i | \(-0.927393\pi\) |
0.992693 | + | 0.120670i | \(0.0385042\pi\) | |||||||
\(948\) | 1.02340e9 | − | 3.72487e8i | 0.0390137 | − | 0.0141998i | ||||
\(949\) | −4.90988e10 | −1.86483 | ||||||||
\(950\) | 1.69864e9 | + | 1.85664e10i | 0.0642791 | + | 0.702579i | ||||
\(951\) | 2.91222e8 | 0.0109798 | ||||||||
\(952\) | −1.57090e10 | + | 5.71761e9i | −0.590092 | + | 0.214776i | ||||
\(953\) | −1.22803e9 | + | 6.96452e9i | −0.0459605 | + | 0.260655i | −0.999126 | − | 0.0417935i | \(-0.986693\pi\) |
0.953166 | + | 0.302448i | \(0.0978040\pi\) | |||||||
\(954\) | 1.85672e10 | − | 1.55797e10i | 0.692352 | − | 0.580952i | ||||
\(955\) | 1.33856e9 | + | 1.12318e9i | 0.0497308 | + | 0.0417291i | ||||
\(956\) | −7.59397e8 | − | 4.30675e9i | −0.0281104 | − | 0.159422i | ||||
\(957\) | 6.65008e8 | + | 1.15183e9i | 0.0245265 | + | 0.0424811i | ||||
\(958\) | −8.49456e9 | + | 1.47130e10i | −0.312149 | + | 0.540657i | ||||
\(959\) | −5.41829e10 | − | 1.97210e10i | −1.98380 | − | 0.722043i | ||||
\(960\) | 1.25293e7 | + | 4.56028e6i | 0.000457063 | + | 0.000166357i | ||||
\(961\) | 1.05279e10 | − | 1.82348e10i | 0.382656 | − | 0.662780i | ||||
\(962\) | 1.24056e10 | + | 2.14871e10i | 0.449268 | + | 0.778155i | ||||
\(963\) | 2.38977e9 | + | 1.35531e10i | 0.0862312 | + | 0.489041i | ||||
\(964\) | 1.16544e10 | + | 9.77918e9i | 0.419005 | + | 0.351587i | ||||
\(965\) | −1.56343e9 | + | 1.31188e9i | −0.0560058 | + | 0.0469945i | ||||
\(966\) | −4.54010e8 | + | 2.57482e9i | −0.0162049 | + | 0.0919024i | ||||
\(967\) | 1.93795e10 | − | 7.05355e9i | 0.689206 | − | 0.250851i | 0.0264110 | − | 0.999651i | \(-0.491592\pi\) |
0.662795 | + | 0.748801i | \(0.269370\pi\) | |||||||
\(968\) | 8.95384e9 | 0.317282 | ||||||||
\(969\) | 5.95786e8 | − | 2.25934e9i | 0.0210357 | − | 0.0797716i | ||||
\(970\) | −1.74637e8 | −0.00614379 | ||||||||
\(971\) | −2.30256e10 | + | 8.38063e9i | −0.807130 | + | 0.293771i | −0.712438 | − | 0.701735i | \(-0.752409\pi\) |
−0.0946923 | + | 0.995507i | \(0.530187\pi\) | |||||||
\(972\) | −6.05850e8 | + | 3.43595e9i | −0.0211609 | + | 0.120009i | ||||
\(973\) | −2.81743e10 | + | 2.36410e10i | −0.980523 | + | 0.822757i | ||||
\(974\) | 2.56550e10 | + | 2.15271e10i | 0.889644 | + | 0.746500i | ||||
\(975\) | −5.32702e8 | − | 3.02110e9i | −0.0184064 | − | 0.104388i | ||||
\(976\) | −3.51088e9 | − | 6.08102e9i | −0.120876 | − | 0.209364i | ||||
\(977\) | −1.08011e10 | + | 1.87080e10i | −0.370540 | + | 0.641794i | −0.989649 | − | 0.143511i | \(-0.954161\pi\) |
0.619109 | + | 0.785305i | \(0.287494\pi\) | |||||||
\(978\) | −2.34916e9 | − | 8.55025e8i | −0.0803021 | − | 0.0292276i | ||||
\(979\) | −2.08802e9 | − | 7.59976e8i | −0.0711204 | − | 0.0258857i | ||||
\(980\) | −7.39403e8 | + | 1.28068e9i | −0.0250951 | + | 0.0434661i | ||||
\(981\) | 2.26938e10 | + | 3.93068e10i | 0.767478 | + | 1.32931i | ||||
\(982\) | 1.13589e9 | + | 6.44194e9i | 0.0382776 | + | 0.217083i | ||||
\(983\) | 4.05252e10 | + | 3.40047e10i | 1.36078 | + | 1.14183i | 0.975740 | + | 0.218931i | \(0.0702570\pi\) |
0.385041 | + | 0.922900i | \(0.374187\pi\) | |||||||
\(984\) | −1.19000e9 | + | 9.98528e8i | −0.0398166 | + | 0.0334101i | ||||
\(985\) | −1.07263e7 | + | 6.08320e7i | −0.000357622 | + | 0.00202818i | ||||
\(986\) | 3.76054e10 | − | 1.36872e10i | 1.24934 | − | 0.454723i | ||||
\(987\) | 3.54171e9 | 0.117247 | ||||||||
\(988\) | 8.37239e9 | + | 1.77701e10i | 0.276185 | + | 0.586194i | ||||
\(989\) | −3.77812e10 | −1.24191 | ||||||||
\(990\) | 3.06356e8 | − | 1.11504e8i | 0.0100347 | − | 0.00365232i | ||||
\(991\) | 4.45967e9 | − | 2.52920e10i | 0.145561 | − | 0.825517i | −0.821354 | − | 0.570418i | \(-0.806781\pi\) |
0.966915 | − | 0.255098i | \(-0.0821078\pi\) | |||||||
\(992\) | 2.01704e9 | − | 1.69250e9i | 0.0656030 | − | 0.0550475i | ||||
\(993\) | 1.78135e9 | + | 1.49473e9i | 0.0577332 | + | 0.0484439i | ||||
\(994\) | 1.39845e9 | + | 7.93100e9i | 0.0451642 | + | 0.256139i | ||||
\(995\) | −6.29720e8 | − | 1.09071e9i | −0.0202659 | − | 0.0351016i | ||||
\(996\) | 7.14323e7 | − | 1.23724e8i | 0.00229080 | − | 0.00396778i | ||||
\(997\) | 2.98184e10 | + | 1.08530e10i | 0.952909 | + | 0.346830i | 0.771251 | − | 0.636531i | \(-0.219631\pi\) |
0.181658 | + | 0.983362i | \(0.441854\pi\) | |||||||
\(998\) | −1.96730e10 | − | 7.16040e9i | −0.626491 | − | 0.228024i | ||||
\(999\) | 2.52428e9 | − | 4.37219e9i | 0.0801049 | − | 0.138746i |
(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.5.4 | ✓ | 36 | |
19.4 | even | 9 | inner | 38.8.e.b.23.4 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.8.e.b.5.4 | ✓ | 36 | 1.1 | even | 1 | trivial | |
38.8.e.b.23.4 | yes | 36 | 19.4 | even | 9 | inner |