Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,8,Mod(9,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.9");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(13.4325560958\) |
Analytic rank: | \(0\) |
Dimension: | \(300\) |
Relative dimension: | \(25\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 9.13 | ||
Character | \(\chi\) | \(=\) | 43.9 |
Dual form | 43.8.g.a.24.13 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.913875 | − | 1.14596i | −0.0807759 | − | 0.101290i | 0.739801 | − | 0.672825i | \(-0.234919\pi\) |
−0.820577 | + | 0.571535i | \(0.806348\pi\) | |||||||
\(3\) | 31.0397 | + | 4.67849i | 0.663734 | + | 0.100042i | 0.472264 | − | 0.881457i | \(-0.343437\pi\) |
0.191469 | + | 0.981499i | \(0.438675\pi\) | |||||||
\(4\) | 28.0046 | − | 122.696i | 0.218786 | − | 0.958564i | ||||
\(5\) | −325.645 | − | 222.021i | −1.16506 | − | 0.794328i | −0.183045 | − | 0.983105i | \(-0.558595\pi\) |
−0.982020 | + | 0.188777i | \(0.939548\pi\) | |||||||
\(6\) | −23.0051 | − | 39.8460i | −0.0434805 | − | 0.0753104i | ||||
\(7\) | −420.198 | + | 727.804i | −0.463032 | + | 0.801994i | −0.999110 | − | 0.0421738i | \(-0.986572\pi\) |
0.536079 | + | 0.844168i | \(0.319905\pi\) | |||||||
\(8\) | −335.233 | + | 161.440i | −0.231490 | + | 0.111480i | ||||
\(9\) | −1148.26 | − | 354.191i | −0.525039 | − | 0.161953i | ||||
\(10\) | 43.1710 | + | 576.078i | 0.0136519 | + | 0.182172i | ||||
\(11\) | 1281.40 | + | 5614.16i | 0.290274 | + | 1.27178i | 0.884144 | + | 0.467214i | \(0.154742\pi\) |
−0.593870 | + | 0.804561i | \(0.702401\pi\) | |||||||
\(12\) | 1443.29 | − | 3677.44i | 0.241112 | − | 0.614344i | ||||
\(13\) | −549.896 | + | 7337.86i | −0.0694191 | + | 0.926334i | 0.848405 | + | 0.529347i | \(0.177563\pi\) |
−0.917824 | + | 0.396987i | \(0.870056\pi\) | |||||||
\(14\) | 1218.04 | − | 183.591i | 0.118636 | − | 0.0178814i | ||||
\(15\) | −9069.23 | − | 8415.01i | −0.693827 | − | 0.643777i | ||||
\(16\) | −14022.3 | − | 6752.81i | −0.855856 | − | 0.412159i | ||||
\(17\) | 23480.6 | − | 16008.8i | 1.15915 | − | 0.790292i | 0.178089 | − | 0.984014i | \(-0.443008\pi\) |
0.981056 | + | 0.193722i | \(0.0620561\pi\) | |||||||
\(18\) | 643.476 | + | 1639.55i | 0.0260063 | + | 0.0662630i | ||||
\(19\) | −23492.8 | + | 7246.57i | −0.785773 | + | 0.242379i | −0.661575 | − | 0.749879i | \(-0.730112\pi\) |
−0.124198 | + | 0.992258i | \(0.539636\pi\) | |||||||
\(20\) | −36360.8 | + | 33737.9i | −1.01631 | + | 0.943002i | ||||
\(21\) | −16447.9 | + | 20625.0i | −0.387562 | + | 0.485988i | ||||
\(22\) | 5262.59 | − | 6599.08i | 0.105371 | − | 0.132131i | ||||
\(23\) | −61721.3 | + | 57269.0i | −1.05776 | + | 0.981459i | −0.999858 | − | 0.0168630i | \(-0.994632\pi\) |
−0.0579036 | + | 0.998322i | \(0.518442\pi\) | |||||||
\(24\) | −11160.9 | + | 3442.67i | −0.164800 | + | 0.0508342i | ||||
\(25\) | 28209.2 | + | 71875.9i | 0.361078 | + | 0.920012i | ||||
\(26\) | 8911.45 | − | 6075.73i | 0.0994356 | − | 0.0677940i | ||||
\(27\) | −95836.8 | − | 46152.6i | −0.937042 | − | 0.451256i | ||||
\(28\) | 77531.3 | + | 71938.6i | 0.667458 | + | 0.619311i | ||||
\(29\) | −177359. | + | 26732.6i | −1.35039 | + | 0.203539i | −0.784085 | − | 0.620654i | \(-0.786867\pi\) |
−0.566309 | + | 0.824193i | \(0.691629\pi\) | |||||||
\(30\) | −1355.15 | + | 18083.3i | −0.00916356 | + | 0.122279i | ||||
\(31\) | 114426. | − | 291554.i | 0.689859 | − | 1.75773i | 0.0381382 | − | 0.999272i | \(-0.487857\pi\) |
0.651721 | − | 0.758459i | \(-0.274047\pi\) | |||||||
\(32\) | 15674.1 | + | 68672.6i | 0.0845584 | + | 0.370475i | ||||
\(33\) | 13508.4 | + | 180257.i | 0.0654343 | + | 0.873160i | ||||
\(34\) | −39803.8 | − | 12277.9i | −0.173680 | − | 0.0535731i | ||||
\(35\) | 298423. | − | 143713.i | 1.17651 | − | 0.566576i | ||||
\(36\) | −75614.5 | + | 130968.i | −0.270114 | + | 0.467850i | ||||
\(37\) | −110162. | − | 190806.i | −0.357541 | − | 0.619279i | 0.630008 | − | 0.776588i | \(-0.283051\pi\) |
−0.987549 | + | 0.157309i | \(0.949718\pi\) | |||||||
\(38\) | 29773.8 | + | 20299.4i | 0.0880221 | + | 0.0600124i | ||||
\(39\) | −51398.7 | + | 225193.i | −0.138748 | + | 0.607894i | ||||
\(40\) | 145010. | + | 21856.8i | 0.358252 | + | 0.0539978i | ||||
\(41\) | −497656. | − | 624041.i | −1.12768 | − | 1.41407i | −0.897554 | − | 0.440904i | \(-0.854658\pi\) |
−0.230125 | − | 0.973161i | \(-0.573913\pi\) | |||||||
\(42\) | 38666.7 | 0.0805314 | ||||||||
\(43\) | 247924. | − | 458642.i | 0.475530 | − | 0.879699i | ||||
\(44\) | 724721. | 1.28259 | ||||||||
\(45\) | 295288. | + | 370279.i | 0.483060 | + | 0.605739i | ||||
\(46\) | 122034. | + | 18393.6i | 0.184853 | + | 0.0278622i | ||||
\(47\) | −60316.5 | + | 264264.i | −0.0847411 | + | 0.371275i | −0.999462 | − | 0.0328124i | \(-0.989554\pi\) |
0.914720 | + | 0.404087i | \(0.132411\pi\) | |||||||
\(48\) | −403657. | − | 275209.i | −0.526827 | − | 0.359185i | ||||
\(49\) | 58639.2 | + | 101566.i | 0.0712035 | + | 0.123328i | ||||
\(50\) | 56587.5 | − | 98012.4i | 0.0640214 | − | 0.110888i | ||||
\(51\) | 803729. | − | 387055.i | 0.848426 | − | 0.408580i | ||||
\(52\) | 884928. | + | 272964.i | 0.872763 | + | 0.269212i | ||||
\(53\) | 69422.7 | + | 926381.i | 0.0640525 | + | 0.854721i | 0.933014 | + | 0.359841i | \(0.117169\pi\) |
−0.868961 | + | 0.494880i | \(0.835212\pi\) | |||||||
\(54\) | 34693.7 | + | 152003.i | 0.0299828 | + | 0.131363i | ||||
\(55\) | 829183. | − | 2.11272e6i | 0.672018 | − | 1.71227i | ||||
\(56\) | 23367.7 | − | 311821.i | 0.0177811 | − | 0.237272i | ||||
\(57\) | −763113. | + | 115021.i | −0.545792 | + | 0.0822649i | ||||
\(58\) | 192719. | + | 178817.i | 0.129696 | + | 0.120340i | ||||
\(59\) | −2.25610e6 | − | 1.08648e6i | −1.43014 | − | 0.688717i | −0.451112 | − | 0.892467i | \(-0.648973\pi\) |
−0.979023 | + | 0.203750i | \(0.934687\pi\) | |||||||
\(60\) | −1.28647e6 | + | 877101.i | −0.768901 | + | 0.524228i | ||||
\(61\) | 1.16406e6 | + | 2.96597e6i | 0.656629 | + | 1.67306i | 0.736653 | + | 0.676271i | \(0.236405\pi\) |
−0.0800242 | + | 0.996793i | \(0.525500\pi\) | |||||||
\(62\) | −438681. | + | 135315.i | −0.233764 | + | 0.0721067i | ||||
\(63\) | 740278. | − | 686878.i | 0.372995 | − | 0.346089i | ||||
\(64\) | −1.17771e6 | + | 1.47680e6i | −0.561576 | + | 0.704194i | ||||
\(65\) | 1.80823e6 | − | 2.26745e6i | 0.816690 | − | 1.02410i | ||||
\(66\) | 194223. | − | 180213.i | 0.0831567 | − | 0.0771581i | ||||
\(67\) | 874383. | − | 269712.i | 0.355173 | − | 0.109556i | −0.112034 | − | 0.993704i | \(-0.535737\pi\) |
0.467207 | + | 0.884148i | \(0.345260\pi\) | |||||||
\(68\) | −1.30665e6 | − | 3.32930e6i | −0.503941 | − | 1.28402i | ||||
\(69\) | −2.18375e6 | + | 1.48885e6i | −0.800259 | + | 0.545607i | ||||
\(70\) | −437412. | − | 210646.i | −0.152422 | − | 0.0734025i | ||||
\(71\) | 1.38968e6 | + | 1.28944e6i | 0.460798 | + | 0.427558i | 0.876103 | − | 0.482124i | \(-0.160135\pi\) |
−0.415305 | + | 0.909682i | \(0.636325\pi\) | |||||||
\(72\) | 442116. | − | 66638.2i | 0.139596 | − | 0.0210407i | ||||
\(73\) | 95720.4 | − | 1.27730e6i | 0.0287988 | − | 0.384293i | −0.964117 | − | 0.265476i | \(-0.914471\pi\) |
0.992916 | − | 0.118817i | \(-0.0379102\pi\) | |||||||
\(74\) | −117983. | + | 300615.i | −0.0338460 | + | 0.0862381i | ||||
\(75\) | 539337. | + | 2.36299e6i | 0.147620 | + | 0.646766i | ||||
\(76\) | 231220. | + | 3.08542e6i | 0.0604196 | + | 0.806243i | ||||
\(77\) | −4.62445e6 | − | 1.42645e6i | −1.15436 | − | 0.356074i | ||||
\(78\) | 305034. | − | 146897.i | 0.0727810 | − | 0.0350495i | ||||
\(79\) | −65408.0 | + | 113290.i | −0.0149257 | + | 0.0258521i | −0.873392 | − | 0.487018i | \(-0.838085\pi\) |
0.858466 | + | 0.512870i | \(0.171418\pi\) | |||||||
\(80\) | 3.06705e6 | + | 5.31228e6i | 0.669739 | + | 1.16002i | ||||
\(81\) | −587470. | − | 400530.i | −0.122825 | − | 0.0837409i | ||||
\(82\) | −260332. | + | 1.14059e6i | −0.0521410 | + | 0.228445i | ||||
\(83\) | −3.39479e6 | − | 511682.i | −0.651687 | − | 0.0982261i | −0.185126 | − | 0.982715i | \(-0.559269\pi\) |
−0.466562 | + | 0.884489i | \(0.654507\pi\) | |||||||
\(84\) | 2.06999e6 | + | 2.59568e6i | 0.381057 | + | 0.477831i | ||||
\(85\) | −1.12006e7 | −1.97823 | ||||||||
\(86\) | −752158. | + | 135030.i | −0.127516 | + | 0.0228922i | ||||
\(87\) | −5.63025e6 | −0.916664 | ||||||||
\(88\) | −1.33592e6 | − | 1.67519e6i | −0.208973 | − | 0.262044i | ||||
\(89\) | 441062. | + | 66479.4i | 0.0663185 | + | 0.00999591i | 0.182118 | − | 0.983277i | \(-0.441705\pi\) |
−0.115799 | + | 0.993273i | \(0.536943\pi\) | |||||||
\(90\) | 154470. | − | 676778.i | 0.0223355 | − | 0.0978582i | ||||
\(91\) | −5.10946e6 | − | 3.48357e6i | −0.710771 | − | 0.484596i | ||||
\(92\) | 5.29821e6 | + | 9.17677e6i | 0.709368 | + | 1.22866i | ||||
\(93\) | 4.91580e6 | − | 8.51441e6i | 0.633729 | − | 1.09765i | ||||
\(94\) | 357959. | − | 172384.i | 0.0444514 | − | 0.0214067i | ||||
\(95\) | 9.25922e6 | + | 2.85609e6i | 1.10800 | + | 0.341774i | ||||
\(96\) | 165235. | + | 2.20491e6i | 0.0190613 | + | 0.254356i | ||||
\(97\) | 514761. | + | 2.25532e6i | 0.0572671 | + | 0.250903i | 0.995456 | − | 0.0952193i | \(-0.0303552\pi\) |
−0.938189 | + | 0.346123i | \(0.887498\pi\) | |||||||
\(98\) | 62802.1 | − | 160017.i | 0.00674035 | − | 0.0171741i | ||||
\(99\) | 517112. | − | 6.90038e6i | 0.0535625 | − | 0.714743i | ||||
\(100\) | 9.60890e6 | − | 1.44831e6i | 0.960890 | − | 0.144831i | ||||
\(101\) | −6.87157e6 | − | 6.37588e6i | −0.663638 | − | 0.615766i | 0.274682 | − | 0.961535i | \(-0.411428\pi\) |
−0.938320 | + | 0.345769i | \(0.887618\pi\) | |||||||
\(102\) | −1.17806e6 | − | 567323.i | −0.109917 | − | 0.0529334i | ||||
\(103\) | 1.33341e7 | − | 9.09105e6i | 1.20236 | − | 0.819754i | 0.214746 | − | 0.976670i | \(-0.431108\pi\) |
0.987612 | + | 0.156916i | \(0.0501552\pi\) | |||||||
\(104\) | −1.00028e6 | − | 2.54867e6i | −0.0871976 | − | 0.222176i | ||||
\(105\) | 9.93535e6 | − | 3.06465e6i | 0.837569 | − | 0.258356i | ||||
\(106\) | 998155. | − | 926153.i | 0.0814006 | − | 0.0755287i | ||||
\(107\) | 3.22194e6 | − | 4.04018e6i | 0.254257 | − | 0.318829i | −0.638278 | − | 0.769806i | \(-0.720353\pi\) |
0.892535 | + | 0.450977i | \(0.148924\pi\) | |||||||
\(108\) | −8.34662e6 | + | 1.04663e7i | −0.637569 | + | 0.799486i | ||||
\(109\) | −8.80478e6 | + | 8.16964e6i | −0.651217 | + | 0.604241i | −0.935000 | − | 0.354647i | \(-0.884601\pi\) |
0.283783 | + | 0.958889i | \(0.408410\pi\) | |||||||
\(110\) | −3.17887e6 | + | 980553.i | −0.227719 | + | 0.0702419i | ||||
\(111\) | −2.52672e6 | − | 6.43797e6i | −0.175358 | − | 0.446805i | ||||
\(112\) | 1.08069e7 | − | 7.36800e6i | 0.726837 | − | 0.495549i | ||||
\(113\) | 117500. | + | 56585.2i | 0.00766063 | + | 0.00368916i | 0.437710 | − | 0.899116i | \(-0.355790\pi\) |
−0.430050 | + | 0.902805i | \(0.641504\pi\) | |||||||
\(114\) | 829200. | + | 769385.i | 0.0524194 | + | 0.0486381i | ||||
\(115\) | 3.28142e7 | − | 4.94595e6i | 2.01196 | − | 0.303254i | ||||
\(116\) | −1.68689e6 | + | 2.25099e7i | −0.100342 | + | 1.33897i | ||||
\(117\) | 3.23043e6 | − | 8.23100e6i | 0.186470 | − | 0.475119i | ||||
\(118\) | 816729. | + | 3.57832e6i | 0.0457605 | + | 0.200490i | ||||
\(119\) | 1.78477e6 | + | 2.38161e7i | 0.0970887 | + | 1.29556i | ||||
\(120\) | 4.39883e6 | + | 1.35686e6i | 0.232382 | + | 0.0716804i | ||||
\(121\) | −1.23195e7 | + | 5.93276e6i | −0.632185 | + | 0.304444i | ||||
\(122\) | 2.33509e6 | − | 4.04450e6i | 0.116424 | − | 0.201653i | ||||
\(123\) | −1.25275e7 | − | 2.16983e7i | −0.607013 | − | 1.05138i | ||||
\(124\) | −3.25681e7 | − | 2.22045e7i | −1.53397 | − | 1.04584i | ||||
\(125\) | −79947.2 | + | 350271.i | −0.00366115 | + | 0.0160406i | ||||
\(126\) | −1.46366e6 | − | 220611.i | −0.0651843 | − | 0.00982495i | ||||
\(127\) | −374535. | − | 469652.i | −0.0162248 | − | 0.0203453i | 0.773653 | − | 0.633610i | \(-0.218427\pi\) |
−0.789878 | + | 0.613264i | \(0.789856\pi\) | |||||||
\(128\) | 1.17848e7 | 0.496692 | ||||||||
\(129\) | 9.84123e6 | − | 1.30762e7i | 0.403632 | − | 0.536313i | ||||
\(130\) | −4.25091e6 | −0.169700 | ||||||||
\(131\) | −1.69178e7 | − | 2.12143e7i | −0.657500 | − | 0.824479i | 0.335569 | − | 0.942016i | \(-0.391072\pi\) |
−0.993068 | + | 0.117537i | \(0.962500\pi\) | |||||||
\(132\) | 2.24952e7 | + | 3.39060e6i | 0.851296 | + | 0.128312i | ||||
\(133\) | 4.59754e6 | − | 2.01431e7i | 0.169451 | − | 0.742415i | ||||
\(134\) | −1.10816e6 | − | 755529.i | −0.0397864 | − | 0.0271259i | ||||
\(135\) | 2.09620e7 | + | 3.63072e7i | 0.733270 | + | 1.27006i | ||||
\(136\) | −5.28702e6 | + | 9.15739e6i | −0.180229 | + | 0.312166i | ||||
\(137\) | −2.37228e7 | + | 1.14243e7i | −0.788213 | + | 0.379583i | −0.784278 | − | 0.620409i | \(-0.786967\pi\) |
−0.00393434 | + | 0.999992i | \(0.501252\pi\) | |||||||
\(138\) | 3.70184e6 | + | 1.14187e6i | 0.119906 | + | 0.0369861i | ||||
\(139\) | 662076. | + | 8.83479e6i | 0.0209101 | + | 0.279026i | 0.997851 | + | 0.0655178i | \(0.0208699\pi\) |
−0.976941 | + | 0.213508i | \(0.931511\pi\) | |||||||
\(140\) | −9.27583e6 | − | 4.06401e7i | −0.285696 | − | 1.25172i | ||||
\(141\) | −3.10857e6 | + | 7.92050e6i | −0.0933885 | + | 0.237950i | ||||
\(142\) | 207651. | − | 2.77091e6i | 0.00608589 | − | 0.0812106i | ||||
\(143\) | −4.19006e7 | + | 6.31549e6i | −1.19824 | + | 0.180606i | ||||
\(144\) | 1.37095e7 | + | 1.27206e7i | 0.382607 | + | 0.355008i | ||||
\(145\) | 6.36914e7 | + | 3.06721e7i | 1.73497 | + | 0.835519i | ||||
\(146\) | −1.55122e6 | + | 1.05760e6i | −0.0412512 | + | 0.0281246i | ||||
\(147\) | 1.34497e6 | + | 3.42693e6i | 0.0349222 | + | 0.0889804i | ||||
\(148\) | −2.64962e7 | + | 8.17301e6i | −0.671844 | + | 0.207236i | ||||
\(149\) | −3.78344e7 | + | 3.51052e7i | −0.936991 | + | 0.869401i | −0.991631 | − | 0.129106i | \(-0.958789\pi\) |
0.0546399 | + | 0.998506i | \(0.482599\pi\) | |||||||
\(150\) | 2.21501e6 | − | 2.77754e6i | 0.0535866 | − | 0.0671955i | ||||
\(151\) | 2.93008e7 | − | 3.67421e7i | 0.692565 | − | 0.868449i | −0.303878 | − | 0.952711i | \(-0.598282\pi\) |
0.996444 | + | 0.0842614i | \(0.0268531\pi\) | |||||||
\(152\) | 6.70569e6 | − | 6.22197e6i | 0.154878 | − | 0.143706i | ||||
\(153\) | −3.26320e7 | + | 1.00656e7i | −0.736587 | + | 0.227207i | ||||
\(154\) | 2.59151e6 | + | 6.60305e6i | 0.0571781 | + | 0.145687i | ||||
\(155\) | −1.01994e8 | + | 6.95380e7i | −2.19994 | + | 1.49990i | ||||
\(156\) | 2.61909e7 | + | 1.26129e7i | 0.552350 | + | 0.265998i | ||||
\(157\) | 4.21824e7 | + | 3.91396e7i | 0.869927 | + | 0.807175i | 0.982460 | − | 0.186473i | \(-0.0597058\pi\) |
−0.112533 | + | 0.993648i | \(0.535896\pi\) | |||||||
\(158\) | 189601. | − | 28577.7i | 0.00382420 | − | 0.000576405i | ||||
\(159\) | −2.17920e6 | + | 2.90794e7i | −0.0429940 | + | 0.573715i | ||||
\(160\) | 1.01426e7 | − | 2.58429e7i | 0.195762 | − | 0.498794i | ||||
\(161\) | −1.57454e7 | − | 6.89853e7i | −0.297348 | − | 1.30277i | ||||
\(162\) | 77881.3 | + | 1.03925e6i | 0.00143923 | + | 0.0192052i | ||||
\(163\) | −4.83249e7 | − | 1.49063e7i | −0.874006 | − | 0.269595i | −0.174877 | − | 0.984590i | \(-0.555953\pi\) |
−0.699129 | + | 0.714995i | \(0.746429\pi\) | |||||||
\(164\) | −9.05041e7 | + | 4.35845e7i | −1.60219 | + | 0.771575i | ||||
\(165\) | 3.56220e7 | − | 6.16991e7i | 0.617340 | − | 1.06926i | ||||
\(166\) | 2.51604e6 | + | 4.35792e6i | 0.0426914 | + | 0.0739436i | ||||
\(167\) | −4.07665e6 | − | 2.77941e6i | −0.0677322 | − | 0.0461790i | 0.528981 | − | 0.848634i | \(-0.322574\pi\) |
−0.596713 | + | 0.802455i | \(0.703527\pi\) | |||||||
\(168\) | 2.18418e6 | − | 9.56951e6i | 0.0355390 | − | 0.155707i | ||||
\(169\) | 8.50590e6 | + | 1.28206e6i | 0.135555 | + | 0.0204317i | ||||
\(170\) | 1.02360e7 | + | 1.28355e7i | 0.159793 | + | 0.200375i | ||||
\(171\) | 2.95425e7 | 0.451815 | ||||||||
\(172\) | −4.93307e7 | − | 4.32634e7i | −0.739209 | − | 0.648292i | ||||
\(173\) | 5.80146e7 | 0.851874 | 0.425937 | − | 0.904753i | \(-0.359944\pi\) | ||||
0.425937 | + | 0.904753i | \(0.359944\pi\) | |||||||
\(174\) | 5.14534e6 | + | 6.45206e6i | 0.0740444 | + | 0.0928487i | ||||
\(175\) | −6.41651e7 | − | 9.67133e6i | −0.905035 | − | 0.136412i | ||||
\(176\) | 1.99432e7 | − | 8.73767e7i | 0.275740 | − | 1.20810i | ||||
\(177\) | −6.49458e7 | − | 4.42793e7i | −0.880328 | − | 0.600198i | ||||
\(178\) | −326893. | − | 566195.i | −0.00434446 | − | 0.00752482i | ||||
\(179\) | −2.44825e7 | + | 4.24049e7i | −0.319058 | + | 0.552625i | −0.980292 | − | 0.197555i | \(-0.936700\pi\) |
0.661234 | + | 0.750180i | \(0.270033\pi\) | |||||||
\(180\) | 5.37013e7 | − | 2.58612e7i | 0.686326 | − | 0.330517i | ||||
\(181\) | 9.62008e7 | + | 2.96740e7i | 1.20588 | + | 0.371964i | 0.831612 | − | 0.555357i | \(-0.187418\pi\) |
0.374266 | + | 0.927321i | \(0.377895\pi\) | |||||||
\(182\) | 677364. | + | 9.03880e6i | 0.00832861 | + | 0.111138i | ||||
\(183\) | 2.22558e7 | + | 9.75090e7i | 0.268451 | + | 1.17616i | ||||
\(184\) | 1.14455e7 | − | 2.91628e7i | 0.135448 | − | 0.345117i | ||||
\(185\) | −6.48928e6 | + | 8.65935e7i | −0.0753522 | + | 1.00550i | ||||
\(186\) | −1.42496e7 | + | 2.14779e6i | −0.162371 | + | 0.0244735i | ||||
\(187\) | 1.19964e8 | + | 1.11310e8i | 1.34154 | + | 1.24477i | ||||
\(188\) | 3.07351e7 | + | 1.48012e7i | 0.337351 | + | 0.162460i | ||||
\(189\) | 7.38604e7 | − | 5.03572e7i | 0.795784 | − | 0.542557i | ||||
\(190\) | −5.18879e6 | − | 1.32208e7i | −0.0548819 | − | 0.139837i | ||||
\(191\) | 4.82297e7 | − | 1.48769e7i | 0.500838 | − | 0.154488i | −0.0340346 | − | 0.999421i | \(-0.510836\pi\) |
0.534873 | + | 0.844932i | \(0.320359\pi\) | |||||||
\(192\) | −4.34650e7 | + | 4.03296e7i | −0.443185 | + | 0.411216i | ||||
\(193\) | 3.50669e7 | − | 4.39725e7i | 0.351113 | − | 0.440281i | −0.574643 | − | 0.818404i | \(-0.694859\pi\) |
0.925755 | + | 0.378123i | \(0.123430\pi\) | |||||||
\(194\) | 2.11408e6 | − | 2.65098e6i | 0.0207882 | − | 0.0260675i | ||||
\(195\) | 6.67353e7 | − | 6.19213e7i | 0.644517 | − | 0.598025i | ||||
\(196\) | 1.41039e7 | − | 4.35049e6i | 0.133796 | − | 0.0412707i | ||||
\(197\) | −6.54418e7 | − | 1.66743e8i | −0.609851 | − | 1.55387i | −0.817658 | − | 0.575704i | \(-0.804728\pi\) |
0.207807 | − | 0.978170i | \(-0.433367\pi\) | |||||||
\(198\) | −8.38015e6 | + | 5.71349e6i | −0.0767227 | + | 0.0523086i | ||||
\(199\) | −9.17838e7 | − | 4.42008e7i | −0.825620 | − | 0.397598i | −0.0271495 | − | 0.999631i | \(-0.508643\pi\) |
−0.798471 | + | 0.602034i | \(0.794357\pi\) | |||||||
\(200\) | −2.10603e7 | − | 1.95411e7i | −0.186149 | − | 0.172721i | ||||
\(201\) | 2.84025e7 | − | 4.28099e6i | 0.246701 | − | 0.0371841i | ||||
\(202\) | −1.02677e6 | + | 1.37013e7i | −0.00876485 | + | 0.116959i | ||||
\(203\) | 5.50698e7 | − | 1.40316e8i | 0.462038 | − | 1.17725i | ||||
\(204\) | −2.49821e7 | − | 1.09454e8i | −0.206027 | − | 0.902663i | ||||
\(205\) | 2.35090e7 | + | 3.13706e8i | 0.190588 | + | 2.54322i | ||||
\(206\) | −2.26037e7 | − | 6.97233e6i | −0.180154 | − | 0.0555703i | ||||
\(207\) | 9.11563e7 | − | 4.38986e7i | 0.714316 | − | 0.343997i | ||||
\(208\) | 5.72620e7 | − | 9.91806e7i | 0.441209 | − | 0.764197i | ||||
\(209\) | −7.07870e7 | − | 1.22607e8i | −0.536341 | − | 0.928971i | ||||
\(210\) | −1.25916e7 | − | 8.58484e6i | −0.0938242 | − | 0.0639683i | ||||
\(211\) | 2.53267e7 | − | 1.10963e8i | 0.185605 | − | 0.813188i | −0.793293 | − | 0.608840i | \(-0.791635\pi\) |
0.978898 | − | 0.204349i | \(-0.0655076\pi\) | |||||||
\(212\) | 1.15608e8 | + | 1.74250e7i | 0.833318 | + | 0.125603i | ||||
\(213\) | 3.71027e7 | + | 4.65254e7i | 0.263074 | + | 0.329884i | ||||
\(214\) | −7.57434e6 | −0.0528320 | ||||||||
\(215\) | −1.82563e8 | + | 9.43104e7i | −1.25279 | + | 0.647180i | ||||
\(216\) | 3.95785e7 | 0.267222 | ||||||||
\(217\) | 1.64112e8 | + | 2.05790e8i | 1.09026 | + | 1.36715i | ||||
\(218\) | 1.74086e7 | + | 2.62392e6i | 0.113806 | + | 0.0171535i | ||||
\(219\) | 8.94697e6 | − | 3.91992e7i | 0.0575601 | − | 0.252187i | ||||
\(220\) | −2.36002e8 | − | 1.60904e8i | −1.49430 | − | 1.01879i | ||||
\(221\) | 1.04558e8 | + | 1.81100e8i | 0.651607 | + | 1.12862i | ||||
\(222\) | −5.06857e6 | + | 8.77902e6i | −0.0310921 | + | 0.0538531i | ||||
\(223\) | −1.82805e8 | + | 8.80344e7i | −1.10388 | + | 0.531600i | −0.894876 | − | 0.446314i | \(-0.852736\pi\) |
−0.209003 | + | 0.977915i | \(0.567022\pi\) | |||||||
\(224\) | −5.65664e7 | − | 1.74484e7i | −0.336272 | − | 0.103726i | ||||
\(225\) | −6.93370e6 | − | 9.25237e7i | −0.0405813 | − | 0.541520i | ||||
\(226\) | −42536.1 | − | 186363.i | −0.000245120 | − | 0.00107394i | ||||
\(227\) | −4.98669e7 | + | 1.27059e8i | −0.282958 | + | 0.720965i | 0.716763 | + | 0.697317i | \(0.245623\pi\) |
−0.999720 | + | 0.0236474i | \(0.992472\pi\) | |||||||
\(228\) | −7.25807e6 | + | 9.68523e7i | −0.0405555 | + | 0.541175i | ||||
\(229\) | 1.25881e8 | − | 1.89735e7i | 0.692683 | − | 0.104405i | 0.206741 | − | 0.978396i | \(-0.433714\pi\) |
0.485943 | + | 0.873991i | \(0.338476\pi\) | |||||||
\(230\) | −3.56560e7 | − | 3.30839e7i | −0.193235 | − | 0.179295i | ||||
\(231\) | −1.36868e8 | − | 6.59122e7i | −0.730567 | − | 0.351823i | ||||
\(232\) | 5.51410e7 | − | 3.75945e7i | 0.289912 | − | 0.197659i | ||||
\(233\) | 1.28285e7 | + | 3.26865e7i | 0.0664401 | + | 0.169287i | 0.960238 | − | 0.279184i | \(-0.0900640\pi\) |
−0.893797 | + | 0.448471i | \(0.851969\pi\) | |||||||
\(234\) | −1.23846e7 | + | 3.82015e6i | −0.0631870 | + | 0.0194906i | ||||
\(235\) | 7.83140e7 | − | 7.26648e7i | 0.393643 | − | 0.365247i | ||||
\(236\) | −1.96489e8 | + | 2.46389e8i | −0.973073 | + | 1.22019i | ||||
\(237\) | −2.56027e6 | + | 3.21048e6i | −0.0124930 | + | 0.0156657i | ||||
\(238\) | 2.56614e7 | − | 2.38103e7i | 0.123384 | − | 0.114484i | ||||
\(239\) | −2.79877e8 | + | 8.63306e7i | −1.32609 | + | 0.409046i | −0.875299 | − | 0.483581i | \(-0.839336\pi\) |
−0.450795 | + | 0.892627i | \(0.648860\pi\) | |||||||
\(240\) | 7.03469e7 | + | 1.79241e8i | 0.328477 | + | 0.836947i | ||||
\(241\) | −1.59952e8 | + | 1.09053e8i | −0.736088 | + | 0.501856i | −0.872390 | − | 0.488811i | \(-0.837431\pi\) |
0.136302 | + | 0.990667i | \(0.456478\pi\) | |||||||
\(242\) | 1.80572e7 | + | 8.69589e6i | 0.0819024 | + | 0.0394421i | ||||
\(243\) | 1.54171e8 | + | 1.43050e8i | 0.689256 | + | 0.639536i | ||||
\(244\) | 3.96512e8 | − | 5.97646e7i | 1.74740 | − | 0.263378i | ||||
\(245\) | 3.45424e6 | − | 4.60937e7i | 0.0150062 | − | 0.200244i | ||||
\(246\) | −1.34169e7 | + | 3.41857e7i | −0.0574618 | + | 0.146410i | ||||
\(247\) | −4.02557e7 | − | 1.76372e8i | −0.169976 | − | 0.744714i | ||||
\(248\) | 8.70885e6 | + | 1.16212e8i | 0.0362560 | + | 0.483803i | ||||
\(249\) | −1.02979e8 | − | 3.17650e7i | −0.422720 | − | 0.130392i | ||||
\(250\) | 474460. | − | 228488.i | 0.00192048 | − | 0.000924854i | ||||
\(251\) | 7.88311e7 | − | 1.36539e8i | 0.314659 | − | 0.545005i | −0.664706 | − | 0.747105i | \(-0.731443\pi\) |
0.979365 | + | 0.202100i | \(0.0647766\pi\) | |||||||
\(252\) | −6.35461e7 | − | 1.10065e8i | −0.250142 | − | 0.433259i | ||||
\(253\) | −4.00607e8 | − | 2.73129e8i | −1.55524 | − | 1.06034i | ||||
\(254\) | −195926. | + | 858407.i | −0.000750194 | + | 0.00328682i | ||||
\(255\) | −3.47665e8 | − | 5.24021e7i | −1.31302 | − | 0.197906i | ||||
\(256\) | 1.39977e8 | + | 1.75526e8i | 0.521455 | + | 0.653884i | ||||
\(257\) | 8.53674e7 | 0.313708 | 0.156854 | − | 0.987622i | \(-0.449865\pi\) | ||||
0.156854 | + | 0.987622i | \(0.449865\pi\) | |||||||
\(258\) | −2.39785e7 | + | 672346.i | −0.0869268 | + | 0.00243738i | ||||
\(259\) | 1.85159e8 | 0.662211 | ||||||||
\(260\) | −2.27569e8 | − | 2.85362e8i | −0.802983 | − | 1.00691i | ||||
\(261\) | 2.13123e8 | + | 3.21231e7i | 0.741973 | + | 0.111834i | ||||
\(262\) | −8.85002e6 | + | 3.87745e7i | −0.0304011 | + | 0.133196i | ||||
\(263\) | 1.20744e8 | + | 8.23216e7i | 0.409278 | + | 0.279041i | 0.750408 | − | 0.660975i | \(-0.229857\pi\) |
−0.341130 | + | 0.940016i | \(0.610809\pi\) | |||||||
\(264\) | −3.36292e7 | − | 5.82474e7i | −0.112487 | − | 0.194833i | ||||
\(265\) | 1.83069e8 | − | 3.17085e8i | 0.604303 | − | 1.04668i | ||||
\(266\) | −2.72849e7 | + | 1.31397e7i | −0.0888866 | + | 0.0428055i | ||||
\(267\) | 1.33794e7 | + | 4.12701e6i | 0.0430178 | + | 0.0132692i | ||||
\(268\) | −8.60582e6 | − | 1.14837e8i | −0.0273099 | − | 0.364426i | ||||
\(269\) | 1.18296e8 | + | 5.18287e8i | 0.370540 | + | 1.62344i | 0.725263 | + | 0.688472i | \(0.241718\pi\) |
−0.354723 | + | 0.934972i | \(0.615425\pi\) | |||||||
\(270\) | 2.24501e7 | − | 5.72019e7i | 0.0694136 | − | 0.176863i | ||||
\(271\) | 8.65290e6 | − | 1.15465e8i | 0.0264101 | − | 0.352418i | −0.968307 | − | 0.249763i | \(-0.919647\pi\) |
0.994717 | − | 0.102655i | \(-0.0327337\pi\) | |||||||
\(272\) | −4.37357e8 | + | 6.59210e7i | −1.31779 | + | 0.198624i | ||||
\(273\) | −1.42298e8 | − | 1.32034e8i | −0.423283 | − | 0.392749i | ||||
\(274\) | 3.47715e7 | + | 1.67451e7i | 0.102117 | + | 0.0491767i | ||||
\(275\) | −3.67376e8 | + | 2.50473e8i | −1.06524 | + | 0.726266i | ||||
\(276\) | 1.21522e8 | + | 3.09632e8i | 0.347914 | + | 0.886471i | ||||
\(277\) | −8.86803e7 | + | 2.73543e7i | −0.250696 | + | 0.0773296i | −0.417556 | − | 0.908651i | \(-0.637113\pi\) |
0.166860 | + | 0.985981i | \(0.446637\pi\) | |||||||
\(278\) | 9.51929e6 | − | 8.83261e6i | 0.0265734 | − | 0.0246565i | ||||
\(279\) | −2.34657e8 | + | 2.94251e8i | −0.646873 | + | 0.811153i | ||||
\(280\) | −7.68405e7 | + | 9.63549e7i | −0.209188 | + | 0.262314i | ||||
\(281\) | −3.05204e8 | + | 2.83188e8i | −0.820574 | + | 0.761381i | −0.973944 | − | 0.226787i | \(-0.927178\pi\) |
0.153370 | + | 0.988169i | \(0.450987\pi\) | |||||||
\(282\) | 1.19174e7 | − | 3.67604e6i | 0.0316454 | − | 0.00976133i | ||||
\(283\) | −2.92847e7 | − | 7.46163e7i | −0.0768049 | − | 0.195696i | 0.887314 | − | 0.461165i | \(-0.152568\pi\) |
−0.964119 | + | 0.265469i | \(0.914473\pi\) | |||||||
\(284\) | 1.97126e8 | − | 1.34398e8i | 0.510658 | − | 0.348161i | ||||
\(285\) | 2.74042e8 | + | 1.31971e8i | 0.701228 | + | 0.337694i | ||||
\(286\) | 4.55292e7 | + | 4.22449e7i | 0.115082 | + | 0.106781i | ||||
\(287\) | 6.63293e8 | − | 9.99753e7i | 1.65622 | − | 0.249635i | ||||
\(288\) | 6.32533e6 | − | 8.44056e7i | 0.0156030 | − | 0.208208i | ||||
\(289\) | 1.45143e8 | − | 3.69819e8i | 0.353716 | − | 0.901253i | ||||
\(290\) | −2.30568e7 | − | 1.01018e8i | −0.0555145 | − | 0.243225i | ||||
\(291\) | 5.42659e6 | + | 7.24128e7i | 0.0129093 | + | 0.172262i | ||||
\(292\) | −1.54039e8 | − | 4.75148e7i | −0.362069 | − | 0.111684i | ||||
\(293\) | 2.95213e8 | − | 1.42167e8i | 0.685643 | − | 0.330188i | −0.0584252 | − | 0.998292i | \(-0.518608\pi\) |
0.744068 | + | 0.668103i | \(0.232894\pi\) | |||||||
\(294\) | 2.69800e6 | − | 4.67307e6i | 0.00619193 | − | 0.0107247i | ||||
\(295\) | 4.93468e8 | + | 8.54711e8i | 1.11913 | + | 1.93840i | ||||
\(296\) | 6.77337e7 | + | 4.61801e7i | 0.151804 | + | 0.103498i | ||||
\(297\) | 1.36303e8 | − | 5.97183e8i | 0.301896 | − | 1.32269i | ||||
\(298\) | 7.48053e7 | + | 1.12751e7i | 0.163748 | + | 0.0246810i | ||||
\(299\) | −3.86291e8 | − | 4.84394e8i | −0.835730 | − | 1.04797i | ||||
\(300\) | 3.05034e8 | 0.652264 | ||||||||
\(301\) | 2.29625e8 | + | 3.73160e8i | 0.485328 | + | 0.788701i | ||||
\(302\) | −6.88824e7 | −0.143908 | ||||||||
\(303\) | −1.83462e8 | − | 2.30054e8i | −0.378876 | − | 0.475096i | ||||
\(304\) | 3.78359e8 | + | 5.70284e7i | 0.772407 | + | 0.116422i | ||||
\(305\) | 2.79439e8 | − | 1.22430e9i | 0.563945 | − | 2.47081i | ||||
\(306\) | 4.13564e7 | + | 2.81963e7i | 0.0825122 | + | 0.0562559i | ||||
\(307\) | −1.13272e8 | − | 1.96193e8i | −0.223429 | − | 0.386990i | 0.732418 | − | 0.680855i | \(-0.238392\pi\) |
−0.955847 | + | 0.293865i | \(0.905058\pi\) | |||||||
\(308\) | −3.04526e8 | + | 5.27455e8i | −0.593878 | + | 1.02863i | ||||
\(309\) | 4.56420e8 | − | 2.19800e8i | 0.880055 | − | 0.423812i | ||||
\(310\) | 1.72897e8 | + | 5.33318e7i | 0.329627 | + | 0.101676i | ||||
\(311\) | 5.07945e6 | + | 6.77806e7i | 0.00957537 | + | 0.127774i | 0.999943 | − | 0.0106893i | \(-0.00340258\pi\) |
−0.990367 | + | 0.138464i | \(0.955784\pi\) | |||||||
\(312\) | −1.91245e7 | − | 8.37899e7i | −0.0356491 | − | 0.156189i | ||||
\(313\) | 6.77172e7 | − | 1.72541e8i | 0.124823 | − | 0.318043i | −0.854779 | − | 0.518992i | \(-0.826307\pi\) |
0.979602 | + | 0.200949i | \(0.0644025\pi\) | |||||||
\(314\) | 6.30304e6 | − | 8.41082e7i | 0.0114894 | − | 0.153315i | ||||
\(315\) | −3.93570e8 | + | 5.93211e7i | −0.709471 | + | 0.106936i | ||||
\(316\) | 1.20685e7 | + | 1.11980e7i | 0.0215154 | + | 0.0199634i | ||||
\(317\) | 1.35419e8 | + | 6.52145e7i | 0.238766 | + | 0.114984i | 0.549441 | − | 0.835533i | \(-0.314841\pi\) |
−0.310675 | + | 0.950516i | \(0.600555\pi\) | |||||||
\(318\) | 3.53155e7 | − | 2.40777e7i | 0.0615843 | − | 0.0419875i | ||||
\(319\) | −3.77348e8 | − | 9.61467e8i | −0.650841 | − | 1.65832i | ||||
\(320\) | 7.11397e8 | − | 2.19437e8i | 1.21363 | − | 0.374356i | ||||
\(321\) | 1.18910e8 | − | 1.10332e8i | 0.200655 | − | 0.186181i | ||||
\(322\) | −6.46653e7 | + | 8.10877e7i | −0.107938 | + | 0.135350i | ||||
\(323\) | −4.35616e8 | + | 5.46245e8i | −0.719275 | + | 0.901943i | ||||
\(324\) | −6.55954e7 | + | 6.08636e7i | −0.107144 | + | 0.0994146i | ||||
\(325\) | −5.42928e8 | + | 1.67471e8i | −0.877304 | + | 0.270612i | ||||
\(326\) | 2.70809e7 | + | 6.90010e7i | 0.0432914 | + | 0.110305i | ||||
\(327\) | −3.11520e8 | + | 2.12391e8i | −0.492684 | + | 0.335906i | ||||
\(328\) | 2.67576e8 | + | 1.28858e8i | 0.418686 | + | 0.201629i | ||||
\(329\) | −1.66987e8 | − | 1.54942e8i | −0.258522 | − | 0.239874i | ||||
\(330\) | −1.03259e8 | + | 1.55638e7i | −0.158172 | + | 0.0238405i | ||||
\(331\) | 3.19714e7 | − | 4.26629e8i | 0.0484579 | − | 0.646625i | −0.919108 | − | 0.394006i | \(-0.871089\pi\) |
0.967566 | − | 0.252619i | \(-0.0812920\pi\) | |||||||
\(332\) | −1.57851e8 | + | 4.02198e8i | −0.236736 | + | 0.603194i | ||||
\(333\) | 5.89127e7 | + | 2.58114e8i | 0.0874288 | + | 0.383050i | ||||
\(334\) | 540444. | + | 7.21172e6i | 0.000793666 | + | 0.0105907i | ||||
\(335\) | −3.44621e8 | − | 1.06301e8i | −0.500823 | − | 0.154484i | ||||
\(336\) | 3.69914e8 | − | 1.78141e8i | 0.532002 | − | 0.256199i | ||||
\(337\) | 7.26594e6 | − | 1.25850e7i | 0.0103416 | − | 0.0179122i | −0.860808 | − | 0.508929i | \(-0.830041\pi\) |
0.871150 | + | 0.491017i | \(0.163375\pi\) | |||||||
\(338\) | −6.30414e6 | − | 1.09191e7i | −0.00888009 | − | 0.0153808i | ||||
\(339\) | 3.38245e6 | + | 2.30611e6i | 0.00471555 | + | 0.00321500i | ||||
\(340\) | −3.13670e8 | + | 1.37428e9i | −0.432809 | + | 1.89626i | ||||
\(341\) | 1.78345e9 | + | 2.68813e8i | 2.43569 | + | 0.367121i | ||||
\(342\) | −2.69982e7 | − | 3.38546e7i | −0.0364958 | − | 0.0457643i | ||||
\(343\) | −7.90662e8 | −1.05794 | ||||||||
\(344\) | −9.06911e6 | + | 1.93777e8i | −0.0120119 | + | 0.256654i | ||||
\(345\) | 1.04168e9 | 1.36574 | ||||||||
\(346\) | −5.30181e7 | − | 6.64826e7i | −0.0688110 | − | 0.0862862i | ||||
\(347\) | −1.01108e9 | − | 1.52396e8i | −1.29907 | − | 0.195804i | −0.537158 | − | 0.843482i | \(-0.680502\pi\) |
−0.761914 | + | 0.647678i | \(0.775740\pi\) | |||||||
\(348\) | −1.57673e8 | + | 6.90810e8i | −0.200553 | + | 0.878681i | ||||
\(349\) | −4.10009e8 | − | 2.79539e8i | −0.516303 | − | 0.352009i | 0.276967 | − | 0.960879i | \(-0.410671\pi\) |
−0.793270 | + | 0.608870i | \(0.791623\pi\) | |||||||
\(350\) | 4.75559e7 | + | 8.23692e7i | 0.0592879 | + | 0.102690i | ||||
\(351\) | 3.91361e8 | − | 6.77857e8i | 0.483062 | − | 0.836688i | ||||
\(352\) | −3.65454e8 | + | 1.75994e8i | −0.446616 | + | 0.215079i | ||||
\(353\) | −9.35956e7 | − | 2.88704e7i | −0.113252 | − | 0.0349335i | 0.237611 | − | 0.971360i | \(-0.423636\pi\) |
−0.350863 | + | 0.936427i | \(0.614112\pi\) | |||||||
\(354\) | 8.60991e6 | + | 1.14891e8i | 0.0103154 | + | 0.137650i | ||||
\(355\) | −1.66261e8 | − | 7.28438e8i | −0.197238 | − | 0.864158i | ||||
\(356\) | 2.05086e7 | − | 5.22550e7i | 0.0240913 | − | 0.0613836i | ||||
\(357\) | −5.60246e7 | + | 7.47597e8i | −0.0651689 | + | 0.869618i | ||||
\(358\) | 7.09684e7 | − | 1.06968e7i | 0.0817475 | − | 0.0123215i | ||||
\(359\) | −2.73270e8 | − | 2.53558e8i | −0.311718 | − | 0.289232i | 0.508762 | − | 0.860907i | \(-0.330103\pi\) |
−0.820480 | + | 0.571675i | \(0.806294\pi\) | |||||||
\(360\) | −1.58768e8 | − | 7.64587e7i | −0.179351 | − | 0.0863710i | ||||
\(361\) | −2.39153e8 | + | 1.63052e8i | −0.267547 | + | 0.182410i | ||||
\(362\) | −5.39102e7 | − | 1.37361e8i | −0.0597298 | − | 0.152189i | ||||
\(363\) | −4.10151e8 | + | 1.26515e8i | −0.450060 | + | 0.138825i | ||||
\(364\) | −5.70509e8 | + | 5.29355e8i | −0.620023 | + | 0.575297i | ||||
\(365\) | −3.14759e8 | + | 3.94695e8i | −0.338807 | + | 0.424851i | ||||
\(366\) | 9.14027e7 | − | 1.14615e8i | 0.0974486 | − | 0.122197i | ||||
\(367\) | −1.03208e9 | + | 9.57631e8i | −1.08989 | + | 1.01127i | −0.0900071 | + | 0.995941i | \(0.528689\pi\) |
−0.999883 | + | 0.0153287i | \(0.995121\pi\) | |||||||
\(368\) | 1.25220e9 | − | 3.86254e8i | 1.30981 | − | 0.404022i | ||||
\(369\) | 3.50409e8 | + | 8.92826e8i | 0.363063 | + | 0.925070i | ||||
\(370\) | 1.05163e8 | − | 7.16992e7i | 0.107934 | − | 0.0735882i | ||||
\(371\) | −7.03395e8 | − | 3.38737e8i | −0.715139 | − | 0.344393i | ||||
\(372\) | −9.07021e8 | − | 8.41592e8i | −0.913518 | − | 0.847621i | ||||
\(373\) | −1.09967e9 | + | 1.65748e8i | −1.09719 | + | 0.165374i | −0.672595 | − | 0.740011i | \(-0.734820\pi\) |
−0.424591 | + | 0.905385i | \(0.639582\pi\) | |||||||
\(374\) | 1.79254e7 | − | 2.39198e8i | 0.0177182 | − | 0.236432i | ||||
\(375\) | −4.12028e6 | + | 1.04983e7i | −0.00403476 | + | 0.0102804i | ||||
\(376\) | −2.24426e7 | − | 9.83276e7i | −0.0217729 | − | 0.0953933i | ||||
\(377\) | −9.86307e7 | − | 1.31614e9i | −0.0948020 | − | 1.26504i | ||||
\(378\) | −1.25207e8 | − | 3.86211e7i | −0.119236 | − | 0.0367793i | ||||
\(379\) | 6.95535e8 | − | 3.34952e8i | 0.656269 | − | 0.316042i | −0.0759503 | − | 0.997112i | \(-0.524199\pi\) |
0.732219 | + | 0.681069i | \(0.238485\pi\) | |||||||
\(380\) | 6.09732e8 | − | 1.05609e9i | 0.570028 | − | 0.987318i | ||||
\(381\) | −9.42821e6 | − | 1.63301e7i | −0.00873357 | − | 0.0151270i | ||||
\(382\) | −6.11243e7 | − | 4.16738e7i | −0.0561038 | − | 0.0382509i | ||||
\(383\) | −2.30475e8 | + | 1.00978e9i | −0.209618 | + | 0.918396i | 0.755204 | + | 0.655490i | \(0.227538\pi\) |
−0.964822 | + | 0.262906i | \(0.915319\pi\) | |||||||
\(384\) | 3.65797e8 | + | 5.51350e7i | 0.329671 | + | 0.0496899i | ||||
\(385\) | 1.18923e9 | + | 1.49124e9i | 1.06207 | + | 1.33179i | ||||
\(386\) | −8.24376e7 | −0.0729574 | ||||||||
\(387\) | −4.47128e8 | + | 4.38828e8i | −0.392142 | + | 0.384863i | ||||
\(388\) | 2.91135e8 | 0.253036 | ||||||||
\(389\) | 6.74936e8 | + | 8.46342e8i | 0.581351 | + | 0.728992i | 0.982343 | − | 0.187090i | \(-0.0599057\pi\) |
−0.400991 | + | 0.916082i | \(0.631334\pi\) | |||||||
\(390\) | −1.31947e8 | − | 1.98879e7i | −0.112635 | − | 0.0169770i | ||||
\(391\) | −5.32445e8 | + | 2.33279e9i | −0.450460 | + | 1.97359i | ||||
\(392\) | −3.60546e7 | − | 2.45816e7i | −0.0302315 | − | 0.0206115i | ||||
\(393\) | −4.25875e8 | − | 7.37637e8i | −0.353922 | − | 0.613012i | ||||
\(394\) | −1.31276e8 | + | 2.27376e8i | −0.108130 | + | 0.187287i | ||||
\(395\) | 4.64526e7 | − | 2.23704e7i | 0.0379245 | − | 0.0182635i | ||||
\(396\) | −8.32169e8 | − | 2.56690e8i | −0.673408 | − | 0.207719i | ||||
\(397\) | −1.08706e8 | − | 1.45058e9i | −0.0871939 | − | 1.16352i | −0.853517 | − | 0.521066i | \(-0.825535\pi\) |
0.766323 | − | 0.642456i | \(-0.222084\pi\) | |||||||
\(398\) | 3.32265e7 | + | 1.45575e8i | 0.0264176 | + | 0.115743i | ||||
\(399\) | 2.36946e8 | − | 6.03728e8i | 0.186743 | − | 0.475813i | ||||
\(400\) | 8.98047e7 | − | 1.19836e9i | 0.0701599 | − | 0.936219i | ||||
\(401\) | −3.18882e8 | + | 4.80638e7i | −0.246959 | + | 0.0372231i | −0.271355 | − | 0.962479i | \(-0.587472\pi\) |
0.0243960 | + | 0.999702i | \(0.492234\pi\) | |||||||
\(402\) | −3.08622e7 | − | 2.86359e7i | −0.0236938 | − | 0.0219847i | ||||
\(403\) | 2.07646e9 | + | 9.99969e8i | 1.58036 | + | 0.761060i | ||||
\(404\) | −9.74733e8 | + | 6.64562e8i | −0.735446 | + | 0.501419i | ||||
\(405\) | 1.02381e8 | + | 2.60862e8i | 0.0765817 | + | 0.195127i | ||||
\(406\) | −2.11123e8 | + | 6.51230e7i | −0.156565 | + | 0.0482940i | ||||
\(407\) | 9.30056e8 | − | 8.62965e8i | 0.683799 | − | 0.634473i | ||||
\(408\) | −2.06951e8 | + | 2.59508e8i | −0.150854 | + | 0.189165i | ||||
\(409\) | 7.58369e8 | − | 9.50964e8i | 0.548086 | − | 0.687278i | −0.428219 | − | 0.903675i | \(-0.640859\pi\) |
0.976306 | + | 0.216397i | \(0.0694304\pi\) | |||||||
\(410\) | 3.38011e8 | − | 3.13629e8i | 0.242208 | − | 0.224736i | ||||
\(411\) | −7.89797e8 | + | 2.43620e8i | −0.561137 | + | 0.173088i | ||||
\(412\) | −7.42020e8 | − | 1.89064e9i | −0.522728 | − | 1.33189i | ||||
\(413\) | 1.73876e9 | − | 1.18546e9i | 1.21454 | − | 0.828062i | ||||
\(414\) | −1.33612e8 | − | 6.43440e7i | −0.0925429 | − | 0.0445663i | ||||
\(415\) | 9.91893e8 | + | 9.20342e8i | 0.681234 | + | 0.632093i | ||||
\(416\) | −5.12529e8 | + | 7.72513e7i | −0.349053 | + | 0.0526113i | ||||
\(417\) | −2.07828e7 | + | 2.77327e8i | −0.0140355 | + | 0.187291i | ||||
\(418\) | −7.58122e7 | + | 1.93166e8i | −0.0507718 | + | 0.129364i | ||||
\(419\) | −3.81390e7 | − | 1.67098e8i | −0.0253292 | − | 0.110974i | 0.960683 | − | 0.277647i | \(-0.0895547\pi\) |
−0.986012 | + | 0.166673i | \(0.946698\pi\) | |||||||
\(420\) | −9.77853e7 | − | 1.30485e9i | −0.0644023 | − | 0.859388i | ||||
\(421\) | 2.01720e9 | + | 6.22224e8i | 1.31753 | + | 0.406406i | 0.872284 | − | 0.489000i | \(-0.162638\pi\) |
0.445251 | + | 0.895406i | \(0.353114\pi\) | |||||||
\(422\) | −1.50305e8 | + | 7.23833e7i | −0.0973601 | + | 0.0468862i | ||||
\(423\) | 1.62859e8 | − | 2.82080e8i | 0.104621 | − | 0.181210i | ||||
\(424\) | −1.72828e8 | − | 2.99346e8i | −0.110112 | − | 0.190719i | ||||
\(425\) | 1.81302e9 | + | 1.23609e9i | 1.14562 | + | 0.781071i | ||||
\(426\) | 1.94091e7 | − | 8.50368e7i | 0.0121639 | − | 0.0532934i | ||||
\(427\) | −2.64778e9 | − | 3.99089e8i | −1.64583 | − | 0.248069i | ||||
\(428\) | −4.05486e8 | − | 5.08463e8i | −0.249990 | − | 0.313477i | ||||
\(429\) | −1.33013e9 | −0.813380 | ||||||||
\(430\) | 2.74917e8 | + | 1.23023e8i | 0.166748 | + | 0.0746186i | ||||
\(431\) | 2.41044e9 | 1.45019 | 0.725096 | − | 0.688648i | \(-0.241795\pi\) | ||||
0.725096 | + | 0.688648i | \(0.241795\pi\) | |||||||
\(432\) | 1.03220e9 | + | 1.29433e9i | 0.615984 | + | 0.772420i | ||||
\(433\) | −2.17207e9 | − | 3.27388e8i | −1.28578 | − | 0.193800i | −0.529648 | − | 0.848218i | \(-0.677676\pi\) |
−0.756134 | + | 0.654417i | \(0.772914\pi\) | |||||||
\(434\) | 8.58499e7 | − | 3.76133e8i | 0.0504111 | − | 0.220865i | ||||
\(435\) | 1.83346e9 | + | 1.25003e9i | 1.06797 | + | 0.728131i | ||||
\(436\) | 7.55810e8 | + | 1.30910e9i | 0.436727 | + | 0.756433i | ||||
\(437\) | 1.03500e9 | − | 1.79268e9i | 0.593275 | − | 1.02758i | ||||
\(438\) | −5.30973e7 | + | 2.55703e7i | −0.0301935 | + | 0.0145404i | ||||
\(439\) | −9.02692e8 | − | 2.78444e8i | −0.509230 | − | 0.157077i | 0.0294844 | − | 0.999565i | \(-0.490613\pi\) |
−0.538714 | + | 0.842489i | \(0.681090\pi\) | |||||||
\(440\) | 6.31081e7 | + | 8.42119e8i | 0.0353184 | + | 0.471291i | ||||
\(441\) | −3.13592e7 | − | 1.37394e8i | −0.0174113 | − | 0.0762837i | ||||
\(442\) | 1.11981e8 | − | 2.85323e8i | 0.0616832 | − | 0.157166i | ||||
\(443\) | 6.14844e6 | − | 8.20453e7i | 0.00336010 | − | 0.0448374i | −0.995272 | − | 0.0971299i | \(-0.969034\pi\) |
0.998632 | + | 0.0522925i | \(0.0166528\pi\) | |||||||
\(444\) | −8.60674e8 | + | 1.29726e8i | −0.466658 | + | 0.0703373i | ||||
\(445\) | −1.28870e8 | − | 1.19574e8i | −0.0693253 | − | 0.0643245i | ||||
\(446\) | 2.67945e8 | + | 1.29036e8i | 0.143013 | + | 0.0688712i | ||||
\(447\) | −1.33861e9 | + | 9.12650e8i | −0.708889 | + | 0.483312i | ||||
\(448\) | −5.79951e8 | − | 1.47769e9i | −0.304732 | − | 0.776444i | ||||
\(449\) | 1.19474e8 | − | 3.68530e7i | 0.0622892 | − | 0.0192137i | −0.263454 | − | 0.964672i | \(-0.584862\pi\) |
0.325743 | + | 0.945458i | \(0.394386\pi\) | |||||||
\(450\) | −9.96923e7 | + | 9.25009e7i | −0.0515725 | + | 0.0478522i | ||||
\(451\) | 2.86577e9 | − | 3.59356e9i | 1.47104 | − | 1.84462i | ||||
\(452\) | 1.02333e7 | − | 1.28322e7i | 0.00521234 | − | 0.00653607i | ||||
\(453\) | 1.08139e9 | − | 1.00338e9i | 0.546560 | − | 0.507134i | ||||
\(454\) | 1.91177e8 | − | 5.89702e7i | 0.0958826 | − | 0.0295759i | ||||
\(455\) | 8.90445e8 | + | 2.26882e9i | 0.443167 | + | 1.12917i | ||||
\(456\) | 2.37252e8 | − | 1.61756e8i | 0.117175 | − | 0.0798882i | ||||
\(457\) | −1.88189e9 | − | 9.06269e8i | −0.922331 | − | 0.444171i | −0.0884281 | − | 0.996083i | \(-0.528184\pi\) |
−0.833903 | + | 0.551911i | \(0.813899\pi\) | |||||||
\(458\) | −1.36782e8 | − | 1.26915e8i | −0.0665273 | − | 0.0617283i | ||||
\(459\) | −2.98915e9 | + | 4.50542e8i | −1.44279 | + | 0.217466i | ||||
\(460\) | 3.12100e8 | − | 4.16469e9i | 0.149500 | − | 1.99494i | ||||
\(461\) | −1.12712e9 | + | 2.87187e9i | −0.535820 | + | 1.36525i | 0.364981 | + | 0.931015i | \(0.381075\pi\) |
−0.900801 | + | 0.434232i | \(0.857020\pi\) | |||||||
\(462\) | 4.95474e7 | + | 2.17081e8i | 0.0233762 | + | 0.102418i | ||||
\(463\) | 3.33474e7 | + | 4.44990e8i | 0.0156145 | + | 0.208361i | 0.999554 | + | 0.0298595i | \(0.00950599\pi\) |
−0.983940 | + | 0.178502i | \(0.942875\pi\) | |||||||
\(464\) | 2.66751e9 | + | 8.22818e8i | 1.23963 | + | 0.382376i | ||||
\(465\) | −3.49119e9 | + | 1.68127e9i | −1.61023 | + | 0.775446i | ||||
\(466\) | 2.57339e7 | − | 4.45724e7i | 0.0117803 | − | 0.0204040i | ||||
\(467\) | −3.12958e8 | − | 5.42059e8i | −0.142193 | − | 0.246285i | 0.786129 | − | 0.618062i | \(-0.212082\pi\) |
−0.928322 | + | 0.371777i | \(0.878749\pi\) | |||||||
\(468\) | −9.19446e8 | − | 6.26868e8i | −0.414635 | − | 0.282693i | ||||
\(469\) | −1.71117e8 | + | 7.49712e8i | −0.0765928 | + | 0.335575i | ||||
\(470\) | −1.54840e8 | − | 2.33384e7i | −0.0687927 | − | 0.0103688i | ||||
\(471\) | 1.12622e9 | + | 1.41223e9i | 0.496649 | + | 0.622778i | ||||
\(472\) | 9.31723e8 | 0.407840 | ||||||||
\(473\) | 2.89258e9 | + | 8.04181e8i | 1.25681 | + | 0.349413i | ||||
\(474\) | 6.01886e6 | 0.00259591 | ||||||||
\(475\) | −1.18357e9 | − | 1.48415e9i | −0.506717 | − | 0.635403i | ||||
\(476\) | 2.97213e9 | + | 4.47977e8i | 1.26312 | + | 0.190384i | ||||
\(477\) | 2.48401e8 | − | 1.08832e9i | 0.104795 | − | 0.459135i | ||||
\(478\) | 3.54704e8 | + | 2.41833e8i | 0.148549 | + | 0.101279i | ||||
\(479\) | 1.96645e8 | + | 3.40599e8i | 0.0817538 | + | 0.141602i | 0.904003 | − | 0.427525i | \(-0.140615\pi\) |
−0.822250 | + | 0.569127i | \(0.807281\pi\) | |||||||
\(480\) | 4.35729e8 | − | 7.54705e8i | 0.179834 | − | 0.311482i | ||||
\(481\) | 1.46069e9 | − | 7.03429e8i | 0.598479 | − | 0.288212i | ||||
\(482\) | 2.71147e8 | + | 8.36378e7i | 0.110291 | + | 0.0340203i | ||||
\(483\) | −1.65988e8 | − | 2.21495e9i | −0.0670287 | − | 0.894436i | ||||
\(484\) | 3.82924e8 | + | 1.67770e9i | 0.153516 | + | 0.672598i | ||||
\(485\) | 3.33099e8 | − | 8.48722e8i | 0.132580 | − | 0.337807i | ||||
\(486\) | 2.30367e7 | − | 3.07404e8i | 0.00910320 | − | 0.121474i | ||||
\(487\) | 2.00772e9 | − | 3.02615e8i | 0.787684 | − | 0.118724i | 0.257131 | − | 0.966376i | \(-0.417223\pi\) |
0.530552 | + | 0.847652i | \(0.321985\pi\) | |||||||
\(488\) | −8.69057e8 | − | 8.06367e8i | −0.338516 | − | 0.314097i | ||||
\(489\) | −1.43025e9 | − | 6.88774e8i | −0.553136 | − | 0.266376i | ||||
\(490\) | −5.59784e7 | + | 3.81654e7i | −0.0214948 | + | 0.0146549i | ||||
\(491\) | 3.41604e8 | + | 8.70394e8i | 0.130238 | + | 0.331841i | 0.981086 | − | 0.193570i | \(-0.0620066\pi\) |
−0.850848 | + | 0.525411i | \(0.823911\pi\) | |||||||
\(492\) | −3.01313e9 | + | 9.29429e8i | −1.14062 | + | 0.351834i | ||||
\(493\) | −3.73654e9 | + | 3.46700e9i | −1.40445 | + | 1.30314i | ||||
\(494\) | −1.65327e8 | + | 2.07313e8i | −0.0617020 | + | 0.0773718i | ||||
\(495\) | −1.70043e9 | + | 2.13227e9i | −0.630144 | + | 0.790175i | ||||
\(496\) | −3.57333e9 | + | 3.31557e9i | −1.31488 | + | 1.22003i | ||||
\(497\) | −1.52240e9 | + | 4.69597e8i | −0.556263 | + | 0.171585i | ||||
\(498\) | 5.77089e7 | + | 1.47040e8i | 0.0209382 | + | 0.0533498i | ||||
\(499\) | −1.58113e8 | + | 1.07800e8i | −0.0569661 | + | 0.0388389i | −0.591468 | − | 0.806328i | \(-0.701452\pi\) |
0.534502 | + | 0.845167i | \(0.320499\pi\) | |||||||
\(500\) | 4.07381e7 | + | 1.96184e7i | 0.0145749 | + | 0.00701890i | ||||
\(501\) | −1.13535e8 | − | 1.05345e8i | −0.0403363 | − | 0.0374266i | ||||
\(502\) | −2.28511e8 | + | 3.44425e7i | −0.0806203 | + | 0.0121515i | ||||
\(503\) | 2.70591e8 | − | 3.61078e9i | 0.0948037 | − | 1.26507i | −0.723517 | − | 0.690306i | \(-0.757476\pi\) |
0.818321 | − | 0.574761i | \(-0.194905\pi\) | |||||||
\(504\) | −1.37276e8 | + | 3.49775e8i | −0.0477627 | + | 0.121697i | ||||
\(505\) | 8.22113e8 | + | 3.60191e9i | 0.284061 | + | 1.24455i | ||||
\(506\) | 5.31087e7 | + | 7.08687e8i | 0.0182238 | + | 0.243180i | ||||
\(507\) | 2.58023e8 | + | 7.95895e7i | 0.0879286 | + | 0.0271224i | ||||
\(508\) | −6.81133e7 | + | 3.28016e7i | −0.0230520 | + | 0.0111013i | ||||
\(509\) | −1.69070e9 | + | 2.92838e9i | −0.568270 | + | 0.984272i | 0.428467 | + | 0.903557i | \(0.359054\pi\) |
−0.996737 | + | 0.0807151i | \(0.974280\pi\) | |||||||
\(510\) | 2.57672e8 | + | 4.46301e8i | 0.0860144 | + | 0.148981i | ||||
\(511\) | 8.89402e8 | + | 6.06384e8i | 0.294866 | + | 0.201036i | ||||
\(512\) | 4.08887e8 | − | 1.79145e9i | 0.134635 | − | 0.589875i | ||||
\(513\) | 2.58592e9 | + | 3.89765e8i | 0.845677 | + | 0.127465i | ||||
\(514\) | −7.80151e7 | − | 9.78279e7i | −0.0253401 | − | 0.0317755i | ||||
\(515\) | −6.36060e9 | −2.05198 | ||||||||
\(516\) | −1.32880e9 | − | 1.57368e9i | −0.425782 | − | 0.504245i | ||||
\(517\) | −1.56091e9 | −0.496776 | ||||||||
\(518\) | −1.69213e8 | − | 2.12186e8i | −0.0534907 | − | 0.0670752i | ||||
\(519\) | 1.80076e9 | + | 2.71420e8i | 0.565418 | + | 0.0852230i | ||||
\(520\) | −2.40123e8 | + | 1.05205e9i | −0.0748896 | + | 0.328113i | ||||
\(521\) | 1.90297e9 | + | 1.29742e9i | 0.589522 | + | 0.401930i | 0.821015 | − | 0.570907i | \(-0.193408\pi\) |
−0.231492 | + | 0.972837i | \(0.574361\pi\) | |||||||
\(522\) | −1.57956e8 | − | 2.73587e8i | −0.0486059 | − | 0.0841878i | ||||
\(523\) | −2.96015e9 | + | 5.12713e9i | −0.904811 | + | 1.56718i | −0.0836394 | + | 0.996496i | \(0.526654\pi\) |
−0.821171 | + | 0.570682i | \(0.806679\pi\) | |||||||
\(524\) | −3.07669e9 | + | 1.48166e9i | −0.934168 | + | 0.449871i | ||||
\(525\) | −1.94642e9 | − | 6.00391e8i | −0.587055 | − | 0.181083i | ||||
\(526\) | −1.60071e7 | − | 2.13599e8i | −0.00479580 | − | 0.0639955i | ||||
\(527\) | −1.98062e9 | − | 8.67768e9i | −0.589474 | − | 2.58266i | ||||
\(528\) | 1.02782e9 | − | 2.61885e9i | 0.303878 | − | 0.774268i | ||||
\(529\) | 2.75338e8 | − | 3.67413e9i | 0.0808670 | − | 1.07910i | ||||
\(530\) | −5.30670e8 | + | 7.99857e7i | −0.154831 | + | 0.0233371i | ||||
\(531\) | 2.20577e9 | + | 2.04666e9i | 0.639337 | + | 0.593218i | ||||
\(532\) | −2.34274e9 | − | 1.12820e9i | −0.674579 | − | 0.324860i | ||||
\(533\) | 4.85278e9 | − | 3.30857e9i | 1.38818 | − | 0.946444i | ||||
\(534\) | −7.49774e6 | − | 1.91039e7i | −0.00213077 | − | 0.00542910i | ||||
\(535\) | −1.94621e9 | + | 6.00328e8i | −0.549481 | + | 0.169492i | ||||
\(536\) | −2.49580e8 | + | 2.31577e8i | −0.0700057 | + | 0.0649558i | ||||
\(537\) | −9.58321e8 | + | 1.20170e9i | −0.267055 | + | 0.334877i | ||||
\(538\) | 4.85830e8 | − | 6.09212e8i | 0.134508 | − | 0.168667i | ||||
\(539\) | −4.95068e8 | + | 4.59356e8i | −0.136177 | + | 0.126354i | ||||
\(540\) | 5.04179e9 | − | 1.55518e9i | 1.37786 | − | 0.425015i | ||||
\(541\) | −1.39086e8 | − | 3.54385e8i | −0.0377652 | − | 0.0962243i | 0.910747 | − | 0.412965i | \(-0.135507\pi\) |
−0.948512 | + | 0.316741i | \(0.897412\pi\) | |||||||
\(542\) | −1.40226e8 | + | 9.56047e7i | −0.0378296 | + | 0.0257918i | ||||
\(543\) | 2.84722e9 | + | 1.37115e9i | 0.763170 | + | 0.367523i | ||||
\(544\) | 1.46740e9 | + | 1.36155e9i | 0.390799 | + | 0.362608i | ||||
\(545\) | 4.68107e9 | − | 7.05558e8i | 1.23868 | − | 0.186700i | ||||
\(546\) | −2.12627e7 | + | 2.83731e8i | −0.00559042 | + | 0.0745989i | ||||
\(547\) | −2.51789e8 | + | 6.41547e8i | −0.0657780 | + | 0.167600i | −0.959983 | − | 0.280058i | \(-0.909646\pi\) |
0.894205 | + | 0.447657i | \(0.147742\pi\) | |||||||
\(548\) | 7.37370e8 | + | 3.23063e9i | 0.191405 | + | 0.838600i | ||||
\(549\) | −2.86120e8 | − | 3.81800e9i | −0.0737981 | − | 0.984767i | ||||
\(550\) | 6.22768e8 | + | 1.92099e8i | 0.159609 | + | 0.0492328i | ||||
\(551\) | 3.97294e9 | − | 1.91327e9i | 1.01177 | − | 0.487242i | ||||
\(552\) | 4.91704e8 | − | 8.51657e8i | 0.124428 | − | 0.215515i | ||||
\(553\) | −5.49686e7 | − | 9.52084e7i | −0.0138222 | − | 0.0239407i | ||||
\(554\) | 1.12390e8 | + | 7.66260e7i | 0.0280829 | + | 0.0191466i | ||||
\(555\) | −6.06552e8 | + | 2.65748e9i | −0.150606 | + | 0.659849i | ||||
\(556\) | 1.10254e9 | + | 1.66181e8i | 0.272039 | + | 0.0410033i | ||||
\(557\) | −1.19507e9 | − | 1.49857e9i | −0.293022 | − | 0.367438i | 0.613429 | − | 0.789750i | \(-0.289790\pi\) |
−0.906450 | + | 0.422313i | \(0.861218\pi\) | |||||||
\(558\) | 5.51648e8 | 0.134413 | ||||||||
\(559\) | 3.22912e9 | + | 2.07143e9i | 0.781884 | + | 0.501568i | ||||
\(560\) | −5.15506e9 | −1.24044 | ||||||||
\(561\) | 3.20289e9 | + | 4.01629e9i | 0.765899 | + | 0.960407i | ||||
\(562\) | 6.03441e8 | + | 9.09541e7i | 0.143403 | + | 0.0216145i | ||||
\(563\) | 1.15215e9 | − | 5.04790e9i | 0.272101 | − | 1.19215i | −0.635427 | − | 0.772161i | \(-0.719176\pi\) |
0.907528 | − | 0.419991i | \(-0.137967\pi\) | |||||||
\(564\) | 8.84761e8 | + | 6.03220e8i | 0.207658 | + | 0.141579i | ||||
\(565\) | −2.57003e7 | − | 4.45143e7i | −0.00599472 | − | 0.0103832i | ||||
\(566\) | −5.87449e7 | + | 1.01749e8i | −0.0136180 | + | 0.0235870i | ||||
\(567\) | 5.38361e8 | − | 2.59261e8i | 0.124032 | − | 0.0597305i | ||||
\(568\) | −6.74034e8 | − | 2.07912e8i | −0.154334 | − | 0.0476058i | ||||
\(569\) | −2.68685e8 | − | 3.58535e9i | −0.0611436 | − | 0.815904i | −0.940512 | − | 0.339762i | \(-0.889654\pi\) |
0.879368 | − | 0.476143i | \(-0.157965\pi\) | |||||||
\(570\) | −9.92053e7 | − | 4.34647e8i | −0.0224374 | − | 0.0983048i | ||||
\(571\) | −1.39439e8 | + | 3.55284e8i | −0.0313442 | + | 0.0798637i | −0.945689 | − | 0.325073i | \(-0.894611\pi\) |
0.914345 | + | 0.404937i | \(0.132706\pi\) | |||||||
\(572\) | −3.98522e8 | + | 5.31790e9i | −0.0890361 | + | 1.18810i | ||||
\(573\) | 1.56664e9 | − | 2.36133e8i | 0.347879 | − | 0.0524343i | ||||
\(574\) | −7.20735e8 | − | 6.68745e8i | −0.159068 | − | 0.147594i | ||||
\(575\) | −5.85737e9 | − | 2.82076e9i | −1.28489 | − | 0.618770i | ||||
\(576\) | 1.87539e9 | − | 1.27862e9i | 0.408895 | − | 0.278780i | ||||
\(577\) | 2.63121e9 | + | 6.70422e9i | 0.570218 | + | 1.45289i | 0.867177 | + | 0.498000i | \(0.165932\pi\) |
−0.296959 | + | 0.954890i | \(0.595973\pi\) | |||||||
\(578\) | −5.56442e8 | + | 1.71640e8i | −0.119859 | + | 0.0369717i | ||||
\(579\) | 1.29419e9 | − | 1.20083e9i | 0.277092 | − | 0.257104i | ||||
\(580\) | 5.54701e9 | − | 6.95573e9i | 1.18049 | − | 1.48028i | ||||
\(581\) | 1.79889e9 | − | 2.25573e9i | 0.380529 | − | 0.477168i | ||||
\(582\) | 7.80232e7 | − | 7.23949e7i | 0.0164056 | − | 0.0152222i | ||||
\(583\) | −5.11190e9 | + | 1.57681e9i | −1.06842 | + | 0.329564i | ||||
\(584\) | 1.74118e8 | + | 4.43647e8i | 0.0361743 | + | 0.0921706i | ||||
\(585\) | −2.87943e9 | + | 1.96316e9i | −0.594650 | + | 0.405425i | ||||
\(586\) | −4.32706e8 | − | 2.08380e8i | −0.0888282 | − | 0.0427774i | ||||
\(587\) | 3.85178e8 | + | 3.57393e8i | 0.0786010 | + | 0.0729311i | 0.718495 | − | 0.695532i | \(-0.244831\pi\) |
−0.639894 | + | 0.768463i | \(0.721022\pi\) | |||||||
\(588\) | 4.58136e8 | − | 6.90530e7i | 0.0929339 | − | 0.0140075i | ||||
\(589\) | −5.75432e8 | + | 7.67861e9i | −0.116035 | + | 1.54839i | ||||
\(590\) | 5.28500e8 | − | 1.34660e9i | 0.105941 | − | 0.269932i | ||||
\(591\) | −1.25119e9 | − | 5.48183e9i | −0.249326 | − | 1.09237i | ||||
\(592\) | 2.56253e8 | + | 3.41945e9i | 0.0507624 | + | 0.677377i | ||||
\(593\) | −5.26395e9 | − | 1.62371e9i | −1.03662 | − | 0.319755i | −0.270682 | − | 0.962669i | \(-0.587249\pi\) |
−0.765939 | + | 0.642913i | \(0.777725\pi\) | |||||||
\(594\) | −8.08914e8 | + | 3.89552e8i | −0.158361 | + | 0.0762629i | ||||
\(595\) | 4.70649e9 | − | 8.15187e9i | 0.915983 | − | 1.58653i | ||||
\(596\) | 3.24774e9 | + | 5.62525e9i | 0.628376 | + | 1.08838i | ||||
\(597\) | −2.64215e9 | − | 1.80139e9i | −0.508215 | − | 0.346495i | ||||
\(598\) | −2.02076e8 | + | 8.85352e8i | −0.0386420 | + | 0.169302i | ||||
\(599\) | −2.10880e9 | − | 3.17850e8i | −0.400905 | − | 0.0604267i | −0.0545046 | − | 0.998514i | \(-0.517358\pi\) |
−0.346400 | + | 0.938087i | \(0.612596\pi\) | |||||||
\(600\) | −5.62284e8 | − | 7.05082e8i | −0.106274 | − | 0.133263i | ||||
\(601\) | 4.37582e9 | 0.822240 | 0.411120 | − | 0.911581i | \(-0.365138\pi\) | ||||
0.411120 | + | 0.911581i | \(0.365138\pi\) | |||||||
\(602\) | 2.17780e8 | − | 6.04163e8i | 0.0406845 | − | 0.112867i | ||||
\(603\) | −1.09955e9 | −0.204223 | ||||||||
\(604\) | −3.68756e9 | − | 4.62405e9i | −0.680941 | − | 0.853873i | ||||
\(605\) | 5.32899e9 | + | 8.03216e8i | 0.978365 | + | 0.147465i | ||||
\(606\) | −9.59723e7 | + | 4.20482e8i | −0.0175183 | + | 0.0767526i | ||||
\(607\) | 2.66752e9 | + | 1.81869e9i | 0.484114 | + | 0.330064i | 0.780661 | − | 0.624955i | \(-0.214883\pi\) |
−0.296547 | + | 0.955018i | \(0.595835\pi\) | |||||||
\(608\) | −8.65868e8 | − | 1.49973e9i | −0.156239 | − | 0.270614i | ||||
\(609\) | 2.36582e9 | − | 4.09772e9i | 0.424444 | − | 0.735159i | ||||
\(610\) | −1.65838e9 | + | 7.98632e8i | −0.295821 | + | 0.142460i | ||||
\(611\) | −1.90596e9 | − | 5.87912e8i | −0.338042 | − | 0.104272i | ||||
\(612\) | 3.21170e8 | + | 4.28571e9i | 0.0566375 | + | 0.755775i | ||||
\(613\) | −2.23452e9 | − | 9.79006e9i | −0.391807 | − | 1.71662i | −0.658277 | − | 0.752775i | \(-0.728715\pi\) |
0.266470 | − | 0.963843i | \(-0.414143\pi\) | |||||||
\(614\) | −1.21314e8 | + | 3.09102e8i | −0.0211505 | + | 0.0538905i | ||||
\(615\) | −7.37957e8 | + | 9.84735e9i | −0.127929 | + | 1.70709i | ||||
\(616\) | 1.78056e9 | − | 2.68376e8i | 0.306919 | − | 0.0462605i | ||||
\(617\) | −2.85892e9 | − | 2.65269e9i | −0.490009 | − | 0.454662i | 0.396053 | − | 0.918227i | \(-0.370379\pi\) |
−0.886063 | + | 0.463565i | \(0.846570\pi\) | |||||||
\(618\) | −6.68994e8 | − | 3.22170e8i | −0.114015 | − | 0.0549068i | ||||
\(619\) | −1.70946e9 | + | 1.16549e9i | −0.289696 | + | 0.197511i | −0.699444 | − | 0.714687i | \(-0.746569\pi\) |
0.409748 | + | 0.912199i | \(0.365617\pi\) | |||||||
\(620\) | 5.67576e9 | + | 1.44616e10i | 0.956431 | + | 2.43695i | ||||
\(621\) | 8.55828e9 | − | 2.63988e9i | 1.43406 | − | 0.442348i | ||||
\(622\) | 7.30321e7 | − | 6.77639e7i | 0.0121688 | − | 0.0112910i | ||||
\(623\) | −2.33717e8 | + | 2.93072e8i | −0.0387242 | + | 0.0485587i | ||||
\(624\) | 2.24141e9 | − | 2.81064e9i | 0.369297 | − | 0.463084i | ||||
\(625\) | 4.52579e9 | − | 4.19932e9i | 0.741505 | − | 0.688017i | ||||
\(626\) | −2.59610e8 | + | 8.00792e7i | −0.0422972 | + | 0.0130470i | ||||
\(627\) | −1.62360e9 | − | 4.13686e9i | −0.263052 | − | 0.670246i | ||||
\(628\) | 5.98358e9 | − | 4.07954e9i | 0.964057 | − | 0.657283i | ||||
\(629\) | −5.64125e9 | − | 2.71668e9i | −0.903853 | − | 0.435273i | ||||
\(630\) | 4.27653e8 | + | 3.96804e8i | 0.0681397 | + | 0.0632244i | ||||
\(631\) | −1.11104e10 | + | 1.67462e9i | −1.76046 | + | 0.265347i | −0.948138 | − | 0.317860i | \(-0.897036\pi\) |
−0.812324 | + | 0.583207i | \(0.801798\pi\) | |||||||
\(632\) | 3.63742e6 | − | 4.85380e7i | 0.000573171 | − | 0.00764843i | ||||
\(633\) | 1.30527e9 | − | 3.32579e9i | 0.204545 | − | 0.521172i | ||||
\(634\) | −4.90229e7 | − | 2.14783e8i | −0.00763988 | − | 0.0334725i | ||||
\(635\) | 1.76929e7 | + | 2.36095e8i | 0.00274214 | + | 0.0365914i | ||||
\(636\) | 3.50691e9 | + | 1.08174e9i | 0.540536 | + | 0.166733i | ||||
\(637\) | −7.77523e8 | + | 3.74435e8i | −0.119186 | + | 0.0573969i | ||||
\(638\) | −7.56957e8 | + | 1.31109e9i | −0.115398 | + | 0.199875i | ||||
\(639\) | −1.13901e9 | − | 1.97282e9i | −0.172693 | − | 0.299112i | ||||
\(640\) | −3.83766e9 | − | 2.61647e9i | −0.578678 | − | 0.394536i | ||||
\(641\) | −1.49805e9 | + | 6.56338e9i | −0.224658 | + | 0.984293i | 0.729262 | + | 0.684234i | \(0.239863\pi\) |
−0.953921 | + | 0.300059i | \(0.902994\pi\) | |||||||
\(642\) | −2.35106e8 | − | 3.54365e7i | −0.0350664 | − | 0.00528540i | ||||
\(643\) | 3.93105e9 | + | 4.92938e9i | 0.583136 | + | 0.731229i | 0.982644 | − | 0.185500i | \(-0.0593906\pi\) |
−0.399508 | + | 0.916730i | \(0.630819\pi\) | |||||||
\(644\) | −8.90518e9 | −1.31384 | ||||||||
\(645\) | −6.10795e9 | + | 2.07325e9i | −0.896266 | + | 0.304223i | ||||
\(646\) | 1.02408e9 | 0.149458 | ||||||||
\(647\) | 6.40516e8 | + | 8.03182e8i | 0.0929748 | + | 0.116587i | 0.826143 | − | 0.563461i | \(-0.190530\pi\) |
−0.733168 | + | 0.680048i | \(0.761959\pi\) | |||||||
\(648\) | 2.61601e8 | + | 3.94300e7i | 0.0377683 | + | 0.00569265i | ||||
\(649\) | 3.20873e9 | − | 1.40583e10i | 0.460761 | − | 2.01873i | ||||
\(650\) | 6.88084e8 | + | 4.69128e8i | 0.0982753 | + | 0.0670030i | ||||
\(651\) | 4.13121e9 | + | 7.15547e9i | 0.586873 | + | 1.01649i | ||||
\(652\) | −3.18226e9 | + | 5.51184e9i | −0.449645 | + | 0.778807i | ||||
\(653\) | −5.03940e9 | + | 2.42685e9i | −0.708243 | + | 0.341072i | −0.753086 | − | 0.657922i | \(-0.771436\pi\) |
0.0448426 | + | 0.998994i | \(0.485721\pi\) | |||||||
\(654\) | 5.28082e8 | + | 1.62892e8i | 0.0738209 | + | 0.0227707i | ||||
\(655\) | 7.99191e8 | + | 1.06645e10i | 0.111124 | + | 1.48284i | ||||
\(656\) | 2.76428e9 | + | 1.21111e10i | 0.382312 | + | 1.67502i | ||||
\(657\) | −5.62320e8 | + | 1.43277e9i | −0.0773580 | + | 0.197105i | ||||
\(658\) | −2.49518e7 | + | 3.32959e8i | −0.00341438 | + | 0.0455617i | ||||
\(659\) | 5.85547e9 | − | 8.82570e8i | 0.797008 | − | 0.120130i | 0.262101 | − | 0.965040i | \(-0.415585\pi\) |
0.534907 | + | 0.844911i | \(0.320347\pi\) | |||||||
\(660\) | −6.57266e9 | − | 6.09854e9i | −0.889893 | − | 0.825700i | ||||
\(661\) | −1.28230e9 | − | 6.17523e8i | −0.172697 | − | 0.0831664i | 0.345538 | − | 0.938405i | \(-0.387696\pi\) |
−0.518235 | + | 0.855238i | \(0.673411\pi\) | |||||||
\(662\) | −5.18119e8 | + | 3.53248e8i | −0.0694108 | + | 0.0473235i | ||||
\(663\) | 2.39819e9 | + | 6.11049e9i | 0.319585 | + | 0.814289i | ||||
\(664\) | 1.22065e9 | − | 3.76521e8i | 0.161809 | − | 0.0499116i | ||||
\(665\) | −5.96937e9 | + | 5.53877e9i | −0.787142 | + | 0.730361i | ||||
\(666\) | 2.41950e8 | − | 3.03395e8i | 0.0317370 | − | 0.0397969i | ||||
\(667\) | 9.41588e9 | − | 1.18071e10i | 1.22863 | − | 1.54065i | ||||
\(668\) | −4.55188e8 | + | 4.22353e8i | −0.0590844 | + | 0.0548224i | ||||
\(669\) | −6.08610e9 | + | 1.87731e9i | −0.785864 | + | 0.242407i | ||||
\(670\) | 1.93123e8 | + | 4.92069e8i | 0.0248069 | + | 0.0632068i | ||||
\(671\) | −1.51598e10 | + | 1.03358e10i | −1.93716 | + | 1.32073i | ||||
\(672\) | −1.67417e9 | − | 8.06240e8i | −0.212818 | − | 0.102488i | ||||
\(673\) | −5.13692e9 | − | 4.76636e9i | −0.649606 | − | 0.602746i | 0.284959 | − | 0.958540i | \(-0.408020\pi\) |
−0.934565 | + | 0.355794i | \(0.884211\pi\) | |||||||
\(674\) | −2.10621e7 | + | 3.17460e6i | −0.00264967 | + | 0.000399373i | ||||
\(675\) | 6.13777e8 | − | 8.19029e9i | 0.0768153 | − | 1.02503i | ||||
\(676\) | 3.95508e8 | − | 1.00774e9i | 0.0492427 | − | 0.125468i | ||||
\(677\) | −1.01872e9 | − | 4.46331e9i | −0.126181 | − | 0.552836i | −0.998012 | − | 0.0630283i | \(-0.979924\pi\) |
0.871831 | − | 0.489808i | \(-0.162933\pi\) | |||||||
\(678\) | −448413. | − | 5.98366e6i | −5.52554e−5 | − | 0.000737332i | ||||
\(679\) | −1.85773e9 | − | 5.73034e8i | −0.227740 | − | 0.0702483i | ||||
\(680\) | 3.75483e9 | − | 1.80823e9i | 0.457941 | − | 0.220533i | ||||
\(681\) | −2.14230e9 | + | 3.71057e9i | −0.259935 | + | 0.450221i | ||||
\(682\) | −1.32181e9 | − | 2.28944e9i | −0.159559 | − | 0.276365i | ||||
\(683\) | −6.55396e9 | − | 4.46841e9i | −0.787102 | − | 0.536637i | 0.101761 | − | 0.994809i | \(-0.467552\pi\) |
−0.888864 | + | 0.458172i | \(0.848505\pi\) | |||||||
\(684\) | 8.27327e8 | − | 3.62476e9i | 0.0988509 | − | 0.433094i | ||||
\(685\) | 1.02616e10 | + | 1.54669e9i | 1.21983 | + | 0.183860i | ||||
\(686\) | 7.22567e8 | + | 9.06070e8i | 0.0854562 | + | 0.107159i | ||||
\(687\) | 3.99607e9 | 0.470202 | ||||||||
\(688\) | −6.57359e9 | + | 4.75706e9i | −0.769561 | + | 0.556902i | ||||
\(689\) | −6.83583e9 | −0.796203 | ||||||||
\(690\) | −9.51969e8 | − | 1.19373e9i | −0.110319 | − | 0.138336i | ||||
\(691\) | 1.10854e10 | + | 1.67085e9i | 1.27814 | + | 0.192648i | 0.752801 | − | 0.658248i | \(-0.228702\pi\) |
0.525335 | + | 0.850896i | \(0.323940\pi\) | |||||||
\(692\) | 1.62468e9 | − | 7.11817e9i | 0.186378 | − | 0.816577i | ||||
\(693\) | 4.80483e9 | + | 3.27588e9i | 0.548418 | + | 0.373905i | ||||
\(694\) | 7.49363e8 | + | 1.29793e9i | 0.0851008 | + | 0.147399i | ||||
\(695\) | 1.74591e9 | − | 3.02400e9i | 0.197276 | − | 0.341693i | ||||
\(696\) | 1.88745e9 | − | 9.08947e8i | 0.212199 | − | 0.102189i | ||||
\(697\) | −2.16754e10 | − | 6.68598e9i | −2.42467 | − | 0.747911i | ||||
\(698\) | 5.43552e7 | + | 7.25320e8i | 0.00604988 | + | 0.0807301i | ||||
\(699\) | 2.45270e8 | + | 1.07460e9i | 0.0271628 | + | 0.119008i | ||||
\(700\) | −2.98355e9 | + | 7.60197e9i | −0.328769 | + | 0.837689i | ||||
\(701\) | 5.12398e8 | − | 6.83748e9i | 0.0561816 | − | 0.749692i | −0.895980 | − | 0.444095i | \(-0.853525\pi\) |
0.952161 | − | 0.305596i | \(-0.0988558\pi\) | |||||||
\(702\) | −1.13446e9 | + | 1.70992e8i | −0.123768 | + | 0.0186550i | ||||
\(703\) | 3.97070e9 | + | 3.68427e9i | 0.431046 | + | 0.399952i | ||||
\(704\) | −9.80011e9 | − | 4.71949e9i | −1.05859 | − | 0.509789i | ||||
\(705\) | 2.77081e9 | − | 1.88911e9i | 0.297814 | − | 0.203046i | ||||
\(706\) | 5.24503e7 | + | 1.33641e8i | 0.00560959 | + | 0.0142930i | ||||
\(707\) | 7.52781e9 | − | 2.32202e9i | 0.801126 | − | 0.247115i | ||||
\(708\) | −7.25169e9 | + | 6.72858e9i | −0.767932 | + | 0.712536i | ||||
\(709\) | −5.27800e8 | + | 6.61840e8i | −0.0556170 | + | 0.0697415i | −0.808862 | − | 0.587999i | \(-0.799916\pi\) |
0.753245 | + | 0.657740i | \(0.228487\pi\) | |||||||
\(710\) | −6.82821e8 | + | 8.56230e8i | −0.0715983 | + | 0.0897814i | ||||
\(711\) | 1.15232e8 | − | 1.06919e8i | 0.0120234 | − | 0.0111561i | ||||
\(712\) | −1.58591e8 | + | 4.89189e7i | −0.0164664 | + | 0.00507922i | ||||
\(713\) | 9.63444e9 | + | 2.45482e10i | 0.995436 | + | 2.53633i | ||||
\(714\) | 9.07918e8 | − | 6.19008e8i | 0.0933475 | − | 0.0636433i | ||||
\(715\) | 1.50469e10 | + | 7.24620e9i | 1.53949 | + | 0.741378i | ||||
\(716\) | 4.51730e9 | + | 4.19144e9i | 0.459921 | + | 0.426745i | ||||
\(717\) | −9.09121e9 | + | 1.37028e9i | −0.921095 | + | 0.138833i | ||||
\(718\) | −4.08329e7 | + | 5.44878e8i | −0.00411694 | + | 0.0549368i | ||||
\(719\) | 8.32137e8 | − | 2.12025e9i | 0.0834918 | − | 0.212734i | −0.883031 | − | 0.469315i | \(-0.844501\pi\) |
0.966523 | + | 0.256581i | \(0.0825962\pi\) | |||||||
\(720\) | −1.64020e9 | − | 7.18620e9i | −0.163770 | − | 0.717523i | ||||
\(721\) | 1.01353e9 | + | 1.35247e10i | 0.100708 | + | 1.34386i | ||||
\(722\) | 4.05407e8 | + | 1.25051e8i | 0.0400877 | + | 0.0123654i | ||||
\(723\) | −5.47507e9 | + | 2.63665e9i | −0.538773 | + | 0.259459i | ||||
\(724\) | 6.33495e9 | − | 1.09725e10i | 0.620381 | − | 1.07453i | ||||
\(725\) | −6.92459e9 | − | 1.19937e10i | −0.674856 | − | 1.16888i | ||||
\(726\) | 5.19808e8 | + | 3.54399e8i | 0.0504155 | + | 0.0343727i | ||||
\(727\) | 2.78767e9 | − | 1.22136e10i | 0.269073 | − | 1.17889i | −0.642020 | − | 0.766688i | \(-0.721903\pi\) |
0.911094 | − | 0.412200i | \(-0.135239\pi\) | |||||||
\(728\) | 2.27525e9 | + | 3.42938e8i | 0.218559 | + | 0.0329425i | ||||
\(729\) | 5.08569e9 | + | 6.37726e9i | 0.486188 | + | 0.609660i | ||||
\(730\) | 7.39956e8 | 0.0704005 | ||||||||
\(731\) | −1.52092e9 | − | 1.47381e10i | −0.144011 | − | 1.39551i | ||||
\(732\) | 1.25873e10 | 1.18616 | ||||||||
\(733\) | 1.74239e9 | + | 2.18489e9i | 0.163411 | + | 0.204911i | 0.856795 | − | 0.515657i | \(-0.172452\pi\) |
−0.693384 | + | 0.720569i | \(0.743881\pi\) | |||||||
\(734\) | 2.04060e9 | + | 3.07571e8i | 0.190468 | + | 0.0287085i | ||||
\(735\) | 3.22868e8 | − | 1.41458e9i | 0.0299929 | − | 0.131408i | ||||
\(736\) | −4.90024e9 | − | 3.34092e9i | −0.453048 | − | 0.308883i | ||||
\(737\) | 2.63464e9 | + | 4.56332e9i | 0.242429 | + | 0.419899i | ||||
\(738\) | 7.02917e8 | − | 1.21749e9i | 0.0643734 | − | 0.111498i | ||||
\(739\) | −4.30813e9 | + | 2.07469e9i | −0.392675 | + | 0.189102i | −0.619794 | − | 0.784765i | \(-0.712784\pi\) |
0.227119 | + | 0.973867i | \(0.427069\pi\) | |||||||
\(740\) | 1.04430e10 | + | 3.22123e9i | 0.947355 | + | 0.292220i | ||||
\(741\) | −4.24373e8 | − | 5.66287e9i | −0.0383164 | − | 0.511296i | ||||
\(742\) | 2.54635e8 | + | 1.11563e9i | 0.0228825 | + | 0.100255i | ||||
\(743\) | −5.75531e9 | + | 1.46643e10i | −0.514764 | + | 1.31160i | 0.403266 | + | 0.915083i | \(0.367875\pi\) |
−0.918029 | + | 0.396513i | \(0.870220\pi\) | |||||||
\(744\) | −2.73374e8 | + | 3.64792e9i | −0.0243361 | + | 0.324743i | ||||
\(745\) | 2.01147e10 | − | 3.03181e9i | 1.78224 | − | 0.268630i | ||||
\(746\) | 1.19490e9 | + | 1.10871e9i | 0.105377 | + | 0.0977755i | ||||
\(747\) | 3.71687e9 | + | 1.78995e9i | 0.326253 | + | 0.157115i | ||||
\(748\) | 1.70169e10 | − | 1.16019e10i | 1.48670 | − | 1.01362i | ||||
\(749\) | 1.58661e9 | + | 4.04261e9i | 0.137970 | + | 0.351541i | ||||
\(750\) | 1.57961e7 | − | 4.87245e6i | 0.00136721 | − | 0.000421729i | ||||
\(751\) | 1.37579e10 | − | 1.27654e10i | 1.18525 | − | 1.09976i | 0.192291 | − | 0.981338i | \(-0.438408\pi\) |
0.992964 | − | 0.118418i | \(-0.0377823\pi\) | |||||||
\(752\) | 2.63030e9 | − | 3.29830e9i | 0.225550 | − | 0.282831i | ||||
\(753\) | 3.08570e9 | − | 3.86934e9i | 0.263373 | − | 0.330259i | ||||
\(754\) | −1.41811e9 | + | 1.31581e9i | −0.120478 | + | 0.111788i | ||||
\(755\) | −1.76992e10 | + | 5.45948e9i | −1.49672 | + | 0.461676i | ||||
\(756\) | −4.11020e9 | − | 1.04726e10i | −0.345969 | − | 0.881514i | ||||
\(757\) | −1.86045e10 | + | 1.26843e10i | −1.55877 | + | 1.06275i | −0.592381 | + | 0.805658i | \(0.701812\pi\) |
−0.966387 | + | 0.257092i | \(0.917236\pi\) | |||||||
\(758\) | −1.01947e9 | − | 4.90953e8i | −0.0850226 | − | 0.0409447i | ||||
\(759\) | −1.11569e10 | − | 1.03521e10i | −0.926184 | − | 0.859374i | ||||
\(760\) | −3.56508e9 | + | 5.37350e8i | −0.294593 | + | 0.0444027i | ||||
\(761\) | 5.59103e8 | − | 7.46072e9i | 0.0459881 | − | 0.613669i | −0.925830 | − | 0.377939i | \(-0.876633\pi\) |
0.971819 | − | 0.235730i | \(-0.0757481\pi\) | |||||||
\(762\) | −1.00975e7 | + | 2.57281e7i | −0.000826748 | + | 0.00210652i | ||||
\(763\) | −2.24615e9 | − | 9.84102e9i | −0.183064 | − | 0.802055i | ||||
\(764\) | −4.74684e8 | − | 6.33422e9i | −0.0385104 | − | 0.513886i | ||||
\(765\) | 1.28613e10 | + | 3.96717e9i | 1.03865 | + | 0.320380i | ||||
\(766\) | 1.36779e9 | − | 6.58695e8i | 0.109956 | − | 0.0529521i | ||||
\(767\) | 9.21308e9 | − | 1.59575e10i | 0.737260 | − | 1.27697i | ||||
\(768\) | 3.52366e9 | + | 6.10315e9i | 0.280692 | + | 0.486172i | ||||
\(769\) | −1.04159e10 | − | 7.10145e9i | −0.825953 | − | 0.563125i | 0.0749290 | − | 0.997189i | \(-0.476127\pi\) |
−0.900882 | + | 0.434063i | \(0.857079\pi\) | |||||||
\(770\) | 6.22105e8 | − | 2.72562e9i | 0.0491073 | − | 0.215153i | ||||
\(771\) | 2.64978e9 | + | 3.99390e8i | 0.208219 | + | 0.0313839i | ||||
\(772\) | −4.41322e9 | − | 5.53400e9i | −0.345219 | − | 0.432891i | ||||
\(773\) | −1.86236e10 | −1.45023 | −0.725113 | − | 0.688630i | \(-0.758212\pi\) | ||||
−0.725113 | + | 0.688630i | \(0.758212\pi\) | |||||||
\(774\) | 9.11500e8 | + | 1.11358e8i | 0.0706583 | + | 0.00863232i | ||||
\(775\) | 2.41836e10 | 1.86623 | ||||||||
\(776\) | −5.36663e8 | − | 6.72955e8i | −0.0412274 | − | 0.0516975i | ||||
\(777\) | 5.74730e9 | + | 8.66266e8i | 0.439532 | + | 0.0662487i | ||||
\(778\) | 3.53070e8 | − | 1.54690e9i | 0.0268802 | − | 0.117770i | ||||
\(779\) | 1.62135e10 | + | 1.10542e10i | 1.22884 | + | 0.837809i | ||||
\(780\) | −5.72862e9 | − | 9.92225e9i | −0.432234 | − | 0.748651i | ||||
\(781\) | −5.45837e9 | + | 9.45417e9i | −0.410000 | + | 0.710141i | ||||
\(782\) | 3.15989e9 | − | 1.52172e9i | 0.236291 | − | 0.113792i | ||||
\(783\) | 1.82313e10 | + | 5.62361e9i | 1.35722 | + | 0.418648i | ||||
\(784\) | −1.36403e8 | − | 1.82017e9i | −0.0101092 | − | 0.134898i | ||||
\(785\) | −5.04670e9 | − | 2.21110e10i | −0.372360 | − | 1.63142i | ||||
\(786\) | −4.56108e8 | + | 1.16215e9i | −0.0335034 | + | 0.0853653i | ||||
\(787\) | −9.13374e7 | + | 1.21881e9i | −0.00667939 | + | 0.0891303i | −0.999547 | − | 0.0300903i | \(-0.990421\pi\) |
0.992868 | + | 0.119221i | \(0.0380396\pi\) | |||||||
\(788\) | −2.22914e10 | + | 3.35989e9i | −1.62292 | + | 0.244615i | ||||
\(789\) | 3.36271e9 | + | 3.12014e9i | 0.243736 | + | 0.226154i | ||||
\(790\) | −6.80875e7 | − | 3.27892e7i | −0.00491329 | − | 0.00236612i | ||||
\(791\) | −9.05563e7 | + | 6.17402e7i | −0.00650580 | + | 0.00443558i | ||||
\(792\) | 9.40643e8 | + | 2.39672e9i | 0.0672801 | + | 0.171427i | ||||
\(793\) | −2.24040e10 | + | 6.91071e9i | −1.59540 | + | 0.492115i | ||||
\(794\) | −1.56297e9 | + | 1.45022e9i | −0.110810 | + | 0.102816i | ||||
\(795\) | 7.16590e9 | − | 8.98576e9i | 0.505808 | − | 0.634263i | ||||
\(796\) | −7.99364e9 | + | 1.00237e10i | −0.561757 | + | 0.704421i | ||||
\(797\) | −9.53803e9 | + | 8.85000e9i | −0.667352 | + | 0.619212i | −0.939299 | − | 0.343100i | \(-0.888523\pi\) |
0.271947 | + | 0.962312i | \(0.412332\pi\) | |||||||
\(798\) | −9.08390e8 | + | 2.80201e8i | −0.0632794 | + | 0.0195191i | ||||
\(799\) | 2.81428e9 | + | 7.17067e9i | 0.195188 | + | 0.497332i | ||||
\(800\) | −4.49375e9 | + | 3.06379e9i | −0.310309 | + | 0.211565i | ||||
\(801\) | −4.82908e8 | − | 2.32556e8i | −0.0332009 | − | 0.0159887i | ||||
\(802\) | 3.46498e8 | + | 3.21503e8i | 0.0237187 | + | 0.0220077i | ||||
\(803\) | 7.29362e9 | − | 1.09934e9i | 0.497094 | − | 0.0749249i | ||||
\(804\) | 2.70140e8 | − | 3.60476e9i | 0.0183313 | − | 0.244614i | ||||
\(805\) | −1.01888e10 | + | 2.59606e10i | −0.688393 | + | 1.75400i | ||||
\(806\) | −7.51695e8 | − | 3.29339e9i | −0.0505672 | − | 0.221549i | ||||
\(807\) | 1.24707e9 | + | 1.66409e10i | 0.0835280 | + | 1.11460i | ||||
\(808\) | 3.33290e9 | + | 1.02806e9i | 0.222271 | + | 0.0685615i | ||||
\(809\) | 1.40161e10 | − | 6.74981e9i | 0.930696 | − | 0.448200i | 0.0938183 | − | 0.995589i | \(-0.470093\pi\) |
0.836878 | + | 0.547390i | \(0.184378\pi\) | |||||||
\(810\) | 2.05375e8 | − | 3.55719e8i | 0.0135784 | − | 0.0235185i | ||||
\(811\) | 9.78046e9 | + | 1.69403e10i | 0.643853 | + | 1.11519i | 0.984565 | + | 0.175018i | \(0.0559983\pi\) |
−0.340713 | + | 0.940167i | \(0.610668\pi\) | |||||||
\(812\) | −1.56740e10 | − | 1.06863e10i | −1.02739 | − | 0.700459i | ||||
\(813\) | 8.08785e8 | − | 3.54352e9i | 0.0527857 | − | 0.231269i | ||||
\(814\) | −1.83888e9 | − | 2.77167e8i | −0.119500 | − | 0.0180117i | ||||
\(815\) | 1.24273e10 | + | 1.55833e10i | 0.804127 | + | 1.00834i | ||||
\(816\) | −1.38839e10 | −0.894530 | ||||||||
\(817\) | −2.50084e9 | + | 1.25714e10i | −0.160438 | + | 0.806503i | ||||
\(818\) | −1.78282e9 | −0.113886 | ||||||||
\(819\) | 4.63313e9 | + | 5.80977e9i | 0.294701 | + | 0.369543i | ||||
\(820\) | 3.91489e10 | + | 5.90075e9i | 2.47954 | + | 0.373731i | ||||
\(821\) | 2.81040e9 | − | 1.23132e10i | 0.177242 | − | 0.776549i | −0.805654 | − | 0.592387i | \(-0.798186\pi\) |
0.982896 | − | 0.184162i | \(-0.0589572\pi\) | |||||||
\(822\) | 1.00096e9 | + | 6.82440e8i | 0.0628584 | + | 0.0428562i | ||||
\(823\) | −1.25903e10 | − | 2.18070e10i | −0.787293 | − | 1.36363i | −0.927620 | − | 0.373526i | \(-0.878149\pi\) |
0.140327 | − | 0.990105i | \(-0.455185\pi\) | |||||||
\(824\) | −3.00238e9 | + | 5.20028e9i | −0.186948 | + | 0.323803i | ||||
\(825\) | −1.25751e10 | + | 6.05585e9i | −0.779691 | + | 0.375479i | ||||
\(826\) | −2.94750e9 | − | 9.09185e8i | −0.181980 | − | 0.0561335i | ||||
\(827\) | 8.85137e8 | + | 1.18113e10i | 0.0544178 | + | 0.726156i | 0.955966 | + | 0.293477i | \(0.0948124\pi\) |
−0.901548 | + | 0.432679i | \(0.857569\pi\) | |||||||
\(828\) | −2.83339e9 | − | 1.24139e10i | −0.173460 | − | 0.759980i | ||||
\(829\) | −8.62213e9 | + | 2.19688e10i | −0.525622 | + | 1.33926i | 0.383810 | + | 0.923412i | \(0.374612\pi\) |
−0.909433 | + | 0.415851i | \(0.863484\pi\) | |||||||
\(830\) | 1.48212e8 | − | 1.97775e9i | 0.00899725 | − | 0.120060i | ||||
\(831\) | −2.88059e9 | + | 4.34179e8i | −0.174132 | + | 0.0262461i | ||||
\(832\) | −1.01889e10 | − | 9.45395e9i | −0.613334 | − | 0.569091i | ||||
\(833\) | 3.00283e9 | + | 1.44609e9i | 0.180001 | + | 0.0866837i | ||||
\(834\) | 3.36800e8 | − | 2.29626e8i | 0.0201044 | − | 0.0137069i | ||||
\(835\) | 7.10453e8 | + | 1.81020e9i | 0.0422311 | + | 0.107603i | ||||
\(836\) | −1.70257e10 | + | 5.25174e9i | −1.00782 | + | 0.310872i | ||||
\(837\) | −2.44222e10 | + | 2.26605e10i | −1.43961 | + | 1.33577i | ||||
\(838\) | −1.56634e8 | + | 1.96413e8i | −0.00919458 | + | 0.0115296i | ||||
\(839\) | 1.71930e10 | − | 2.15594e10i | 1.00504 | − | 1.26029i | 0.0397261 | − | 0.999211i | \(-0.487351\pi\) |
0.965318 | − | 0.261075i | \(-0.0840771\pi\) | |||||||
\(840\) | −2.83590e9 | + | 2.63133e9i | −0.165087 | + | 0.153179i | ||||
\(841\) | 1.42581e10 | − | 4.39804e9i | 0.826561 | − | 0.254960i | ||||
\(842\) | −1.13042e9 | − | 2.88028e9i | −0.0652603 | − | 0.166281i | ||||
\(843\) | −1.07983e10 | + | 7.36218e9i | −0.620812 | + | 0.423263i | ||||
\(844\) | −1.29055e10 | − | 6.21498e9i | −0.738886 | − | 0.355829i | ||||
\(845\) | −2.48526e9 | − | 2.30599e9i | −0.141701 | − | 0.131480i | ||||
\(846\) | −4.72086e8 | + | 7.11556e7i | −0.0268056 | + | 0.00404029i | ||||
\(847\) | 8.58742e8 | − | 1.14591e10i | 0.0485591 | − | 0.647976i | ||||
\(848\) | 5.28220e9 | − | 1.34588e10i | 0.297461 | − | 0.757918i | ||||
\(849\) | −5.59899e8 | − | 2.45308e9i | −0.0314002 | − | 0.137573i | ||||
\(850\) | −2.40353e8 | − | 3.20729e9i | −0.0134240 | − | 0.179131i | ||||
\(851\) | 1.77266e10 | + | 5.46794e9i | 0.985990 | + | 0.304138i | ||||
\(852\) | 6.74753e9 | − | 3.24944e9i | 0.373772 | − | 0.179999i | ||||
\(853\) | 1.29232e10 | − | 2.23836e10i | 0.712932 | − | 1.23483i | −0.250820 | − | 0.968034i | \(-0.580700\pi\) |
0.963752 | − | 0.266800i | \(-0.0859664\pi\) | |||||||
\(854\) | 1.96240e9 | + | 3.39898e9i | 0.107816 | + | 0.186743i | ||||
\(855\) | −9.62038e9 | − | 6.55907e9i | −0.526394 | − | 0.358889i | ||||
\(856\) | −4.27854e8 | + | 1.87455e9i | −0.0233151 | + | 0.102150i | ||||
\(857\) | −1.83291e10 | − | 2.76266e9i | −0.994734 | − | 0.149932i | −0.368551 | − | 0.929608i | \(-0.620146\pi\) |
−0.626184 | + | 0.779676i | \(0.715384\pi\) | |||||||
\(858\) | 1.21557e9 | + | 1.52428e9i | 0.0657015 | + | 0.0823871i | ||||
\(859\) | −3.22202e10 | −1.73441 | −0.867204 | − | 0.497952i | \(-0.834085\pi\) | ||||
−0.867204 | + | 0.497952i | \(0.834085\pi\) | |||||||
\(860\) | 6.45891e9 | + | 2.50410e10i | 0.346270 | + | 1.34248i | ||||
\(861\) | 2.10562e10 | 1.12426 | ||||||||
\(862\) | −2.20284e9 | − | 2.76227e9i | −0.117141 | − | 0.146890i | ||||
\(863\) | −2.06632e10 | − | 3.11448e9i | −1.09436 | − | 0.164948i | −0.423036 | − | 0.906113i | \(-0.639036\pi\) |
−0.671323 | + | 0.741165i | \(0.734274\pi\) | |||||||
\(864\) | 1.66726e9 | − | 7.30476e9i | 0.0879440 | − | 0.385308i | ||||
\(865\) | −1.88922e10 | − | 1.28805e10i | −0.992489 | − | 0.676667i | ||||
\(866\) | 1.60983e9 | + | 2.78831e9i | 0.0842302 | + | 0.145891i | ||||
\(867\) | 6.23540e9 | − | 1.08000e10i | 0.324936 | − | 0.562805i | ||||
\(868\) | 2.98456e10 | − | 1.43729e10i | 1.54903 | − | 0.745975i | ||||
\(869\) | −7.19842e8 | − | 2.22042e8i | −0.0372107 | − | 0.0114780i | ||||
\(870\) | −2.43064e8 | − | 3.24346e9i | −0.0125142 | − | 0.166990i | ||||
\(871\) | 1.49828e9 | + | 6.56441e9i | 0.0768300 | + | 0.336614i | ||||
\(872\) | 1.63275e9 | − | 4.16018e9i | 0.0833896 | − | 0.212473i | ||||
\(873\) | 2.07734e8 | − | 2.77201e9i | 0.0105671 | − | 0.141009i | ||||
\(874\) | −3.00021e9 | + | 4.52208e8i | −0.152006 | + | 0.0229112i | ||||
\(875\) | −2.21335e8 | − | 2.05369e8i | −0.0111692 | − | 0.0103635i | ||||
\(876\) | −4.55904e9 | − | 2.19552e9i | −0.229144 | − | 0.110350i | ||||
\(877\) | −3.02774e10 | + | 2.06428e10i | −1.51572 | + | 1.03340i | −0.533477 | + | 0.845814i | \(0.679115\pi\) |
−0.982248 | + | 0.187589i | \(0.939933\pi\) | |||||||
\(878\) | 5.05862e8 | + | 1.28891e9i | 0.0252232 | + | 0.0642678i | ||||
\(879\) | 9.82845e9 | − | 3.03168e9i | 0.488117 | − | 0.150564i | ||||
\(880\) | −2.58939e10 | + | 2.40260e10i | −1.28088 | + | 1.18848i | ||||
\(881\) | 1.36431e8 | − | 1.71079e8i | 0.00672199 | − | 0.00842911i | −0.778459 | − | 0.627695i | \(-0.783998\pi\) |
0.785181 | + | 0.619266i | \(0.212570\pi\) | |||||||
\(882\) | −1.28790e8 | + | 1.61497e8i | −0.00632035 | + | 0.00792547i | ||||
\(883\) | −1.68637e9 | + | 1.56473e9i | −0.0824312 | + | 0.0764849i | −0.720312 | − | 0.693650i | \(-0.756002\pi\) |
0.637881 | + | 0.770135i | \(0.279811\pi\) | |||||||
\(884\) | 2.51485e10 | − | 7.75727e9i | 1.22441 | − | 0.377682i | ||||
\(885\) | 1.13184e10 | + | 2.88387e10i | 0.548886 | + | 1.39854i | ||||
\(886\) | −9.96398e7 | + | 6.79332e7i | −0.00481299 | + | 0.00328144i | ||||
\(887\) | 5.48894e9 | + | 2.64333e9i | 0.264092 | + | 0.127180i | 0.561245 | − | 0.827650i | \(-0.310323\pi\) |
−0.297152 | + | 0.954830i | \(0.596037\pi\) | |||||||
\(888\) | 1.88638e9 | + | 1.75031e9i | 0.0904034 | + | 0.0838821i | ||||
\(889\) | 4.99193e8 | − | 7.52413e7i | 0.0238294 | − | 0.00359170i | ||||
\(890\) | −1.92562e7 | + | 2.56956e8i | −0.000915599 | + | 0.0122178i | ||||
\(891\) | 1.49586e9 | − | 3.81139e9i | 0.0708466 | − | 0.180514i | ||||
\(892\) | 5.68210e9 | + | 2.48949e10i | 0.268060 | + | 1.17445i | ||||
\(893\) | −4.98003e8 | − | 6.64539e9i | −0.0234019 | − | 0.312277i | ||||
\(894\) | 2.26919e9 | + | 6.99951e8i | 0.106216 | + | 0.0327632i | ||||
\(895\) | 1.73874e10 | − | 8.37333e9i | 0.810689 | − | 0.390407i | ||||
\(896\) | −4.95194e9 | + | 8.57701e9i | −0.229984 | + | 0.398344i | ||||
\(897\) | −9.72416e9 | − | 1.68427e10i | −0.449861 | − | 0.779182i | ||||
\(898\) | −1.51417e8 | − | 1.03234e8i | −0.00697761 | − | 0.00475726i | ||||
\(899\) | −1.25006e10 | + | 5.47686e10i | −0.573814 | + | 2.51404i | ||||
\(900\) | −1.15465e10 | − | 1.74035e9i | −0.527960 | − | 0.0795772i | ||||
\(901\) | 1.64603e10 | + | 2.06406e10i | 0.749725 | + | 0.940125i | ||||
\(902\) | −6.73705e9 | −0.305666 | ||||||||
\(903\) | 5.38166e9 | + | 1.26571e10i | 0.243226 | + | 0.572040i | ||||
\(904\) | −4.85251e7 | −0.00218463 | ||||||||
\(905\) | −2.47391e10 | − | 3.10218e10i | −1.10946 | − | 1.39122i | ||||
\(906\) | −2.13809e9 | − | 3.22266e8i | −0.0955164 | − | 0.0143968i | ||||
\(907\) | 3.54954e9 | − | 1.55515e10i | 0.157960 | − | 0.692066i | −0.832473 | − | 0.554066i | \(-0.813075\pi\) |
0.990432 | − | 0.138000i | \(-0.0440674\pi\) | |||||||
\(908\) | 1.41931e10 | + | 9.67671e9i | 0.629184 | + | 0.428970i | ||||
\(909\) | 5.63207e9 | + | 9.75502e9i | 0.248711 | + | 0.430779i | ||||
\(910\) | 1.78622e9 | − | 3.09383e9i | 0.0785762 | − | 0.136098i | ||||
\(911\) | −1.56228e10 | + | 7.52355e9i | −0.684612 | + | 0.329692i | −0.743655 | − | 0.668564i | \(-0.766909\pi\) |
0.0590427 | + | 0.998255i | \(0.481195\pi\) | |||||||
\(912\) | 1.14774e10 | + | 3.54030e9i | 0.501026 | + | 0.154546i | ||||
\(913\) | −1.47740e9 | − | 1.97146e10i | −0.0642467 | − | 0.857313i | ||||
\(914\) | 6.81259e8 | + | 2.98479e9i | 0.0295121 | + | 0.129301i | ||||
\(915\) | 1.44016e10 | − | 3.66946e10i | 0.621493 | − | 1.58354i | ||||
\(916\) | 1.19727e9 | − | 1.59764e10i | 0.0514703 | − | 0.686824i | ||||
\(917\) | 2.25487e10 | − | 3.39867e9i | 0.965670 | − | 0.145551i | ||||
\(918\) | 3.24802e9 | + | 3.01372e9i | 0.138570 | + | 0.128574i | ||||
\(919\) | −1.61320e10 | − | 7.76877e9i | −0.685622 | − | 0.330178i | 0.0584381 | − | 0.998291i | \(-0.481388\pi\) |
−0.744060 | + | 0.668113i | \(0.767102\pi\) | |||||||
\(920\) | −1.02019e10 | + | 6.95557e9i | −0.431942 | + | 0.294493i | ||||
\(921\) | −2.59805e9 | − | 6.61973e9i | −0.109582 | − | 0.279210i | ||||
\(922\) | 4.32111e9 | − | 1.33288e9i | 0.181567 | − | 0.0560060i | ||||
\(923\) | −1.02259e10 | + | 9.48823e9i | −0.428050 | + | 0.397172i | ||||
\(924\) | −1.19201e10 | + | 1.49474e10i | −0.497083 | + | 0.623322i | ||||
\(925\) | 1.06068e10 | − | 1.33005e10i | 0.440644 | − | 0.552550i | ||||
\(926\) | 4.79467e8 | − | 4.44881e8i | 0.0198436 | − | 0.0184122i | ||||
\(927\) | −1.85310e10 | + | 5.71606e9i | −0.764047 | + | 0.235677i | ||||
\(928\) | −4.61573e9 | − | 1.17607e10i | −0.189593 | − | 0.483076i | ||||
\(929\) | 2.29232e10 | − | 1.56288e10i | 0.938037 | − | 0.639543i | 0.00525593 | − | 0.999986i | \(-0.498327\pi\) |
0.932781 | + | 0.360443i | \(0.117375\pi\) | |||||||
\(930\) | 5.11718e9 | + | 2.46430e9i | 0.208613 | + | 0.100462i | ||||
\(931\) | −2.11360e9 | − | 1.96114e9i | −0.0858420 | − | 0.0796497i | ||||
\(932\) | 4.36977e9 | − | 6.58637e8i | 0.176808 | − | 0.0266496i | ||||
\(933\) | −1.59446e8 | + | 2.12766e9i | −0.00642728 | + | 0.0857661i | ||||
\(934\) | −3.35175e8 | + | 8.54012e8i | −0.0134604 | + | 0.0342965i | ||||
\(935\) | −1.43525e10 | − | 6.28822e10i | −0.574230 | − | 2.51586i | ||||
\(936\) | 2.45864e8 | + | 3.28083e9i | 0.00980007 | + | 0.130773i | ||||
\(937\) | 4.27500e10 | + | 1.31866e10i | 1.69765 | + | 0.523655i | 0.984201 | − | 0.177053i | \(-0.0566565\pi\) |
0.713447 | + | 0.700709i | \(0.247133\pi\) | |||||||
\(938\) | 1.01552e9 | − | 4.89049e8i | 0.0401772 | − | 0.0193483i | ||||
\(939\) | 2.90916e9 | − | 5.03881e9i | 0.114667 | − | 0.198609i | ||||
\(940\) | −6.72254e9 | − | 1.16438e10i | −0.263989 | − | 0.457243i | ||||
\(941\) | 2.59436e10 | + | 1.76881e10i | 1.01500 | + | 0.692016i | 0.952032 | − | 0.305999i | \(-0.0989905\pi\) |
0.0629697 | + | 0.998015i | \(0.479943\pi\) | |||||||
\(942\) | 5.89144e8 | − | 2.58121e9i | 0.0229638 | − | 0.100611i | ||||
\(943\) | 6.64542e10 | + | 1.00164e10i | 2.58066 | + | 0.388972i | ||||
\(944\) | 2.42991e10 | + | 3.04701e10i | 0.940129 | + | 1.17888i | ||||
\(945\) | −3.52327e10 | −1.35811 | ||||||||
\(946\) | −1.72189e9 | − | 4.04971e9i | −0.0661283 | − | 0.155527i | ||||
\(947\) | 3.89806e10 | 1.49150 | 0.745751 | − | 0.666225i | \(-0.232091\pi\) | ||||
0.745751 | + | 0.666225i | \(0.232091\pi\) | |||||||
\(948\) | 3.22214e8 | + | 4.04044e8i | 0.0122833 | + | 0.0154028i | ||||
\(949\) | 9.32001e9 | + | 1.40477e9i | 0.353985 | + | 0.0533546i | ||||
\(950\) | −6.19145e8 | + | 2.71265e9i | −0.0234293 | + | 0.102651i | ||||
\(951\) | 3.89827e9 | + | 2.65780e9i | 0.146974 | + | 0.100205i | ||||
\(952\) | −4.44319e9 | − | 7.69583e9i | −0.166904 | − | 0.289085i | ||||
\(953\) | 1.05724e10 | − | 1.83119e10i | 0.395684 | − | 0.685345i | −0.597504 | − | 0.801866i | \(-0.703841\pi\) |
0.993188 | + | 0.116521i | \(0.0371742\pi\) | |||||||
\(954\) | −1.47418e9 | + | 7.09926e8i | −0.0549706 | + | 0.0264724i | ||||
\(955\) | −1.90088e10 | − | 5.86343e9i | −0.706223 | − | 0.217841i | ||||
\(956\) | 2.75459e9 | + | 3.67575e10i | 0.101966 | + | 1.36064i | ||||
\(957\) | −7.21458e9 | − | 3.16091e10i | −0.266084 | − | 1.16579i | ||||
\(958\) | 2.10605e8 | − | 5.36612e8i | 0.00773907 | − | 0.0197188i | ||||
\(959\) | 1.65362e9 | − | 2.20660e10i | 0.0605438 | − | 0.807901i | ||||
\(960\) | 2.31082e10 | − | 3.48300e9i | 0.842980 | − | 0.127059i | ||||
\(961\) | −5.17420e10 | − | 4.80095e10i | −1.88066 | − | 1.74500i | ||||
\(962\) | −2.14099e9 | − | 1.03105e9i | −0.0775357 | − | 0.0373392i | ||||
\(963\) | −5.13062e9 | + | 3.49799e9i | −0.185130 | + | 0.126220i | ||||
\(964\) | 8.90104e9 | + | 2.26795e10i | 0.320016 | + | 0.815386i | ||||
\(965\) | −2.11822e10 | + | 6.53384e9i | −0.758796 | + | 0.234058i | ||||
\(966\) | −2.38656e9 | + | 2.21441e9i | −0.0851830 | + | 0.0790382i | ||||
\(967\) | −4.53729e8 | + | 5.68958e8i | −0.0161363 | + | 0.0202343i | −0.789834 | − | 0.613320i | \(-0.789833\pi\) |
0.773698 | + | 0.633555i | \(0.218405\pi\) | |||||||
\(968\) | 3.17212e9 | − | 3.97772e9i | 0.112405 | − | 0.140952i | ||||
\(969\) | −1.60770e10 | + | 1.49173e10i | −0.567639 | + | 0.526692i | ||||
\(970\) | −1.27701e9 | + | 3.93907e8i | −0.0449257 | + | 0.0138577i | ||||
\(971\) | −9.63090e9 | − | 2.45391e10i | −0.337598 | − | 0.860185i | −0.994357 | − | 0.106085i | \(-0.966168\pi\) |
0.656759 | − | 0.754100i | \(-0.271927\pi\) | |||||||
\(972\) | 2.18692e10 | − | 1.49101e10i | 0.763836 | − | 0.520775i | ||||
\(973\) | −6.70820e9 | − | 3.23050e9i | −0.233459 | − | 0.112428i | ||||
\(974\) | −2.18159e9 | − | 2.02422e9i | −0.0756514 | − | 0.0701943i | ||||
\(975\) | −1.76358e10 | + | 2.65818e9i | −0.609369 | + | 0.0918476i | ||||
\(976\) | 3.70580e9 | − | 4.94505e10i | 0.127588 | − | 1.70254i | ||||
\(977\) | 1.05094e10 | − | 2.67775e10i | 0.360535 | − | 0.918628i | −0.629397 | − | 0.777084i | \(-0.716698\pi\) |
0.989932 | − | 0.141544i | \(-0.0452068\pi\) | |||||||
\(978\) | 5.17764e8 | + | 2.26847e9i | 0.0176989 | + | 0.0775439i | ||||
\(979\) | 1.91949e8 | + | 2.56138e9i | 0.00653802 | + | 0.0872438i | ||||
\(980\) | −5.55878e9 | − | 1.71466e9i | −0.188664 | − | 0.0581951i | ||||
\(981\) | 1.30038e10 | − | 6.26230e9i | 0.439773 | − | 0.211784i | ||||
\(982\) | 6.85256e8 | − | 1.18690e9i | 0.0230921 | − | 0.0399966i | ||||
\(983\) | 1.49748e10 | + | 2.59371e10i | 0.502832 | + | 0.870931i | 0.999995 | + | 0.00327327i | \(0.00104192\pi\) |
−0.497163 | + | 0.867657i | \(0.665625\pi\) | |||||||
\(984\) | 7.70263e9 | + | 5.25156e9i | 0.257725 | + | 0.175714i | ||||
\(985\) | −1.57097e10 | + | 6.88286e10i | −0.523770 | + | 2.29478i | ||||
\(986\) | 7.38779e9 | + | 1.11353e9i | 0.245440 | + | 0.0369941i | ||||
\(987\) | −4.45836e9 | − | 5.59060e9i | −0.147593 | − | 0.185075i | ||||
\(988\) | −2.27675e10 | −0.751045 | ||||||||
\(989\) | 1.09638e10 | + | 4.25063e10i | 0.360392 | + | 1.39723i | ||||
\(990\) | 3.99748e9 | 0.130937 | ||||||||
\(991\) | 1.99171e10 | + | 2.49753e10i | 0.650084 | + | 0.815179i | 0.992223 | − | 0.124470i | \(-0.0397230\pi\) |
−0.342140 | + | 0.939649i | \(0.611152\pi\) | |||||||
\(992\) | 2.18153e10 | + | 3.28812e9i | 0.709528 | + | 0.106944i | ||||
\(993\) | 2.98837e9 | − | 1.30929e10i | 0.0968526 | − | 0.424339i | ||||
\(994\) | 1.92942e9 | + | 1.31546e9i | 0.0623125 | + | 0.0424839i | ||||
\(995\) | 2.00755e10 | + | 3.47717e10i | 0.646078 | + | 1.11904i | ||||
\(996\) | −6.78134e9 | + | 1.17456e10i | −0.217474 | + | 0.376676i | ||||
\(997\) | 7.39689e9 | − | 3.56215e9i | 0.236383 | − | 0.113836i | −0.311943 | − | 0.950101i | \(-0.600980\pi\) |
0.548326 | + | 0.836265i | \(0.315265\pi\) | |||||||
\(998\) | 2.68031e8 | + | 8.26765e7i | 0.00853547 | + | 0.00263285i | ||||
\(999\) | 1.75138e9 | + | 2.33705e10i | 0.0555777 | + | 0.741633i |
(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 | 43.8.g.a.9.13 | ✓ | 300 | |
43.24 | even | 21 | inner | 43.8.g.a.24.13 | yes | 300 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.8.g.a.9.13 | ✓ | 300 | 1.1 | even | 1 | trivial | |
43.8.g.a.24.13 | yes | 300 | 43.24 | even | 21 | inner |