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 | 10.17 | ||
Character | \(\chi\) | \(=\) | 43.10 |
Dual form | 43.8.g.a.13.17 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.77056 | + | 7.75731i | 0.156497 | + | 0.685656i | 0.990911 | + | 0.134519i | \(0.0429488\pi\) |
−0.834415 | + | 0.551137i | \(0.814194\pi\) | |||||||
\(3\) | 28.3063 | + | 26.2644i | 0.605283 | + | 0.561621i | 0.922142 | − | 0.386852i | \(-0.126438\pi\) |
−0.316859 | + | 0.948473i | \(0.602628\pi\) | |||||||
\(4\) | 58.2830 | − | 28.0676i | 0.455336 | − | 0.219278i | ||||
\(5\) | 5.92871 | − | 0.893610i | 0.0212112 | − | 0.00319708i | −0.138428 | − | 0.990372i | \(-0.544205\pi\) |
0.159639 | + | 0.987175i | \(0.448967\pi\) | |||||||
\(6\) | −153.623 | + | 266.083i | −0.290354 | + | 0.502908i | ||||
\(7\) | 270.752 | + | 468.955i | 0.298351 | + | 0.516759i | 0.975759 | − | 0.218848i | \(-0.0702300\pi\) |
−0.677408 | + | 0.735608i | \(0.736897\pi\) | |||||||
\(8\) | 955.929 | + | 1198.70i | 0.660101 | + | 0.827741i | ||||
\(9\) | −52.0073 | − | 693.989i | −0.0237802 | − | 0.317324i | ||||
\(10\) | 17.4291 | + | 44.4087i | 0.00551158 | + | 0.0140433i | ||||
\(11\) | 4933.83 | + | 2376.01i | 1.11766 | + | 0.538237i | 0.899169 | − | 0.437602i | \(-0.144172\pi\) |
0.218492 | + | 0.975839i | \(0.429886\pi\) | |||||||
\(12\) | 2386.95 | + | 736.278i | 0.398758 | + | 0.123001i | ||||
\(13\) | 581.542 | − | 1481.74i | 0.0734140 | − | 0.187056i | −0.889456 | − | 0.457020i | \(-0.848917\pi\) |
0.962870 | + | 0.269964i | \(0.0870119\pi\) | |||||||
\(14\) | −3158.45 | + | 2930.62i | −0.307628 | + | 0.285437i | ||||
\(15\) | 191.290 | + | 130.419i | 0.0146343 | + | 0.00997752i | ||||
\(16\) | −2443.51 | + | 3064.06i | −0.149140 | + | 0.187016i | ||||
\(17\) | −16844.0 | − | 2538.83i | −0.831524 | − | 0.125332i | −0.280534 | − | 0.959844i | \(-0.590512\pi\) |
−0.550990 | + | 0.834512i | \(0.685750\pi\) | |||||||
\(18\) | 5291.41 | − | 1632.18i | 0.213854 | − | 0.0659652i | ||||
\(19\) | −3560.49 | + | 47511.5i | −0.119089 | + | 1.58913i | 0.543015 | + | 0.839723i | \(0.317283\pi\) |
−0.662104 | + | 0.749412i | \(0.730336\pi\) | |||||||
\(20\) | 320.462 | − | 218.487i | 0.00895717 | − | 0.00610690i | ||||
\(21\) | −4652.86 | + | 20385.5i | −0.109636 | + | 0.480346i | ||||
\(22\) | −9695.81 | + | 42480.1i | −0.194135 | + | 0.850563i | ||||
\(23\) | 37229.0 | − | 25382.3i | 0.638020 | − | 0.434994i | −0.200629 | − | 0.979667i | \(-0.564299\pi\) |
0.838649 | + | 0.544673i | \(0.183346\pi\) | |||||||
\(24\) | −4424.25 | + | 59037.6i | −0.0653282 | + | 0.871744i | ||||
\(25\) | −74619.8 | + | 23017.2i | −0.955133 | + | 0.294620i | ||||
\(26\) | 12524.0 | + | 1887.69i | 0.139745 | + | 0.0210632i | ||||
\(27\) | 69408.5 | − | 87035.5i | 0.678640 | − | 0.850987i | ||||
\(28\) | 28942.7 | + | 19732.8i | 0.249164 | + | 0.169877i | ||||
\(29\) | −125219. | + | 116186.i | −0.953404 | + | 0.884629i | −0.993415 | − | 0.114570i | \(-0.963451\pi\) |
0.0400115 | + | 0.999199i | \(0.487261\pi\) | |||||||
\(30\) | −673.014 | + | 1714.81i | −0.00455093 | + | 0.0115956i | ||||
\(31\) | −44702.1 | − | 13788.8i | −0.269502 | − | 0.0831304i | 0.157059 | − | 0.987589i | \(-0.449799\pi\) |
−0.426561 | + | 0.904459i | \(0.640275\pi\) | |||||||
\(32\) | 148718. | + | 71619.0i | 0.802306 | + | 0.386370i | ||||
\(33\) | 77254.0 | + | 196840.i | 0.374216 | + | 0.953487i | ||||
\(34\) | −10128.8 | − | 135160.i | −0.0441959 | − | 0.589753i | ||||
\(35\) | 2024.27 | + | 2538.36i | 0.00798051 | + | 0.0100072i | ||||
\(36\) | −22509.7 | − | 38988.0i | −0.0804103 | − | 0.139275i | ||||
\(37\) | 150256. | − | 260251.i | 0.487671 | − | 0.844670i | −0.512229 | − | 0.858849i | \(-0.671180\pi\) |
0.999899 | + | 0.0141788i | \(0.00451341\pi\) | |||||||
\(38\) | −374865. | + | 56501.8i | −1.10824 | + | 0.167040i | ||||
\(39\) | 55378.4 | − | 26668.8i | 0.149491 | − | 0.0719910i | ||||
\(40\) | 6738.60 | + | 6252.50i | 0.0166479 | + | 0.0154470i | ||||
\(41\) | −138300. | − | 605932.i | −0.313386 | − | 1.37303i | −0.848921 | − | 0.528519i | \(-0.822747\pi\) |
0.535536 | − | 0.844512i | \(-0.320110\pi\) | |||||||
\(42\) | −166375. | −0.346510 | ||||||||
\(43\) | 518359. | − | 55879.9i | 0.994240 | − | 0.107181i | ||||
\(44\) | 354247. | 0.626934 | ||||||||
\(45\) | −928.491 | − | 4067.99i | −0.00151892 | − | 0.00665481i | ||||
\(46\) | 262815. | + | 243856.i | 0.398104 | + | 0.369387i | ||||
\(47\) | −85504.9 | + | 41177.0i | −0.120129 | + | 0.0578512i | −0.492983 | − | 0.870039i | \(-0.664094\pi\) |
0.372854 | + | 0.927890i | \(0.378379\pi\) | |||||||
\(48\) | −149643. | + | 22555.0i | −0.195304 | + | 0.0294373i | ||||
\(49\) | 265159. | − | 459268.i | 0.321973 | − | 0.557674i | ||||
\(50\) | −310670. | − | 538096.i | −0.351483 | − | 0.608786i | ||||
\(51\) | −410111. | − | 514263.i | −0.432918 | − | 0.542862i | ||||
\(52\) | −7695.02 | − | 102683.i | −0.00758924 | − | 0.101271i | ||||
\(53\) | −362745. | − | 924260.i | −0.334685 | − | 0.852764i | −0.994823 | − | 0.101619i | \(-0.967598\pi\) |
0.660138 | − | 0.751144i | \(-0.270498\pi\) | |||||||
\(54\) | 798053. | + | 384322.i | 0.689689 | + | 0.332137i | ||||
\(55\) | 31374.5 | + | 9677.75i | 0.0254277 | + | 0.00784341i | ||||
\(56\) | −303316. | + | 772837.i | −0.230801 | + | 0.588071i | ||||
\(57\) | −1.34864e6 | + | 1.25136e6i | −0.964574 | + | 0.894994i | ||||
\(58\) | −1.12300e6 | − | 765648.i | −0.755756 | − | 0.515266i | ||||
\(59\) | 1.35676e6 | − | 1.70132e6i | 0.860045 | − | 1.07846i | −0.136096 | − | 0.990696i | \(-0.543456\pi\) |
0.996141 | − | 0.0877664i | \(-0.0279729\pi\) | |||||||
\(60\) | 14809.5 | + | 2232.17i | 0.00885139 | + | 0.00133413i | ||||
\(61\) | 173337. | − | 53467.3i | 0.0977769 | − | 0.0301602i | −0.245481 | − | 0.969401i | \(-0.578946\pi\) |
0.343258 | + | 0.939241i | \(0.388470\pi\) | |||||||
\(62\) | 27816.3 | − | 371182.i | 0.0148227 | − | 0.197795i | ||||
\(63\) | 311369. | − | 212288.i | 0.156886 | − | 0.106963i | ||||
\(64\) | −403883. | + | 1.76953e6i | −0.192586 | + | 0.843776i | ||||
\(65\) | 2123.69 | − | 9304.51i | 0.000959169 | − | 0.00420239i | ||||
\(66\) | −1.39017e6 | + | 947800.i | −0.595201 | + | 0.405801i | ||||
\(67\) | 29149.1 | − | 388968.i | 0.0118403 | − | 0.157998i | −0.988150 | − | 0.153494i | \(-0.950947\pi\) |
0.999990 | − | 0.00450390i | \(-0.00143364\pi\) | |||||||
\(68\) | −1.05298e6 | + | 324801.i | −0.406105 | + | 0.125267i | ||||
\(69\) | 1.72047e6 | + | 259319.i | 0.630485 | + | 0.0950303i | ||||
\(70\) | −16106.7 | + | 20197.2i | −0.00561260 | + | 0.00703798i | ||||
\(71\) | 14018.9 | + | 9557.94i | 0.00464847 | + | 0.00316928i | 0.565642 | − | 0.824651i | \(-0.308628\pi\) |
−0.560994 | + | 0.827820i | \(0.689581\pi\) | |||||||
\(72\) | 782167. | − | 725745.i | 0.246965 | − | 0.229150i | ||||
\(73\) | −667178. | + | 1.69994e6i | −0.200730 | + | 0.511451i | −0.995424 | − | 0.0955591i | \(-0.969536\pi\) |
0.794694 | + | 0.607010i | \(0.207631\pi\) | |||||||
\(74\) | 2.28489e6 | + | 704795.i | 0.655472 | + | 0.202186i | ||||
\(75\) | −2.71674e6 | − | 1.30831e6i | −0.743591 | − | 0.358094i | ||||
\(76\) | 1.12602e6 | + | 2.86904e6i | 0.294237 | + | 0.749703i | ||||
\(77\) | 221601. | + | 2.95705e6i | 0.0553163 | + | 0.738145i | ||||
\(78\) | 304929. | + | 382369.i | 0.0727559 | + | 0.0912330i | ||||
\(79\) | 2.45994e6 | + | 4.26075e6i | 0.561346 | + | 0.972280i | 0.997379 | + | 0.0723491i | \(0.0230496\pi\) |
−0.436034 | + | 0.899930i | \(0.643617\pi\) | |||||||
\(80\) | −11748.8 | + | 20349.5i | −0.00256554 | + | 0.00444364i | ||||
\(81\) | 2.74562e6 | − | 413836.i | 0.574041 | − | 0.0865228i | ||||
\(82\) | 4.45554e6 | − | 2.14567e6i | 0.892384 | − | 0.429749i | ||||
\(83\) | 1.07844e6 | + | 1.00065e6i | 0.207025 | + | 0.192091i | 0.776870 | − | 0.629661i | \(-0.216806\pi\) |
−0.569845 | + | 0.821752i | \(0.692997\pi\) | |||||||
\(84\) | 300990. | + | 1.31872e6i | 0.0554083 | + | 0.242759i | ||||
\(85\) | −102132. | −0.0180383 | ||||||||
\(86\) | 1.35126e6 | + | 3.92213e6i | 0.229084 | + | 0.664933i | ||||
\(87\) | −6.59604e6 | −1.07391 | ||||||||
\(88\) | 1.86828e6 | + | 8.18546e6i | 0.292248 | + | 1.28042i | ||||
\(89\) | −6.99614e6 | − | 6.49147e6i | −1.05195 | − | 0.976063i | −0.0522010 | − | 0.998637i | \(-0.516624\pi\) |
−0.999745 | + | 0.0225732i | \(0.992814\pi\) | |||||||
\(90\) | 29912.7 | − | 14405.2i | 0.00432521 | − | 0.00208291i | ||||
\(91\) | 852325. | − | 128467.i | 0.118566 | − | 0.0178710i | ||||
\(92\) | 1.45740e6 | − | 2.52429e6i | 0.195128 | − | 0.337972i | ||||
\(93\) | −903197. | − | 1.56438e6i | −0.116437 | − | 0.201675i | ||||
\(94\) | −470814. | − | 590382.i | −0.0584658 | − | 0.0733138i | ||||
\(95\) | 21347.6 | + | 284863.i | 0.00255456 | + | 0.0340882i | ||||
\(96\) | 2.32864e6 | + | 5.93327e6i | 0.268629 | + | 0.684455i | ||||
\(97\) | −1.09694e7 | − | 5.28257e6i | −1.22034 | − | 0.587684i | −0.290933 | − | 0.956744i | \(-0.593966\pi\) |
−0.929406 | + | 0.369059i | \(0.879680\pi\) | |||||||
\(98\) | 4.03217e6 | + | 1.24376e6i | 0.432760 | + | 0.133489i | ||||
\(99\) | 1.39233e6 | − | 3.54759e6i | 0.144218 | − | 0.367460i | ||||
\(100\) | −3.70303e6 | + | 3.43591e6i | −0.370303 | + | 0.343591i | ||||
\(101\) | −1.27040e7 | − | 8.66147e6i | −1.22692 | − | 0.836501i | −0.236107 | − | 0.971727i | \(-0.575872\pi\) |
−0.990815 | + | 0.135225i | \(0.956824\pi\) | |||||||
\(102\) | 3.26318e6 | − | 4.09189e6i | 0.304467 | − | 0.381789i | ||||
\(103\) | −1.32611e7 | − | 1.99879e6i | −1.19577 | − | 0.180234i | −0.479174 | − | 0.877720i | \(-0.659064\pi\) |
−0.716598 | + | 0.697486i | \(0.754302\pi\) | |||||||
\(104\) | 2.33207e6 | − | 719350.i | 0.203295 | − | 0.0627081i | ||||
\(105\) | −9368.79 | + | 125018.i | −0.000789807 | + | 0.0105392i | ||||
\(106\) | 6.52751e6 | − | 4.45038e6i | 0.532326 | − | 0.362933i | ||||
\(107\) | 2.65703e6 | − | 1.16412e7i | 0.209678 | − | 0.918660i | −0.755103 | − | 0.655606i | \(-0.772413\pi\) |
0.964781 | − | 0.263054i | \(-0.0847297\pi\) | |||||||
\(108\) | 1.60246e6 | − | 7.02081e6i | 0.122406 | − | 0.536296i | ||||
\(109\) | 1.50646e7 | − | 1.02708e7i | 1.11420 | − | 0.759650i | 0.141093 | − | 0.989996i | \(-0.454938\pi\) |
0.973109 | + | 0.230347i | \(0.0739860\pi\) | |||||||
\(110\) | −19523.0 | + | 260517.i | −0.00139853 | + | 0.0186621i | ||||
\(111\) | 1.10885e7 | − | 3.42036e6i | 0.769563 | − | 0.237379i | ||||
\(112\) | −2.09849e6 | − | 316297.i | −0.141138 | − | 0.0212732i | ||||
\(113\) | −6.13906e6 | + | 7.69813e6i | −0.400246 | + | 0.501893i | −0.940587 | − | 0.339554i | \(-0.889724\pi\) |
0.540341 | + | 0.841446i | \(0.318295\pi\) | |||||||
\(114\) | −1.20950e7 | − | 8.24626e6i | −0.764610 | − | 0.521303i | ||||
\(115\) | 198038. | − | 183753.i | 0.0121425 | − | 0.0112666i | ||||
\(116\) | −4.03706e6 | + | 1.02863e7i | −0.240139 | + | 0.611864i | ||||
\(117\) | −1.05856e6 | − | 326522.i | −0.0611032 | − | 0.0188478i | ||||
\(118\) | 1.55999e7 | + | 7.51253e6i | 0.874048 | + | 0.420919i | ||||
\(119\) | −3.36995e6 | − | 8.58649e6i | −0.183320 | − | 0.467091i | ||||
\(120\) | 26526.4 | + | 353970.i | 0.00140134 | + | 0.0186996i | ||||
\(121\) | 6.54722e6 | + | 8.20995e6i | 0.335976 | + | 0.421300i | ||||
\(122\) | 721665. | + | 1.24996e6i | 0.0359813 | + | 0.0623214i | ||||
\(123\) | 1.19997e7 | − | 2.07841e7i | 0.581436 | − | 1.00708i | ||||
\(124\) | −2.99239e6 | + | 451030.i | −0.140943 | + | 0.0212437i | ||||
\(125\) | −843856. | + | 406380.i | −0.0386441 | + | 0.0186100i | ||||
\(126\) | 2.19808e6 | + | 2.03952e6i | 0.0978917 | + | 0.0908302i | ||||
\(127\) | 763220. | + | 3.34389e6i | 0.0330626 | + | 0.144857i | 0.988765 | − | 0.149478i | \(-0.0477592\pi\) |
−0.955703 | + | 0.294334i | \(0.904902\pi\) | |||||||
\(128\) | 6.68645e6 | 0.281813 | ||||||||
\(129\) | 1.61405e7 | + | 1.20326e7i | 0.661991 | + | 0.493511i | ||||
\(130\) | 75938.1 | 0.00303150 | ||||||||
\(131\) | 4.73249e6 | + | 2.07344e7i | 0.183925 | + | 0.805826i | 0.979738 | + | 0.200284i | \(0.0641865\pi\) |
−0.795813 | + | 0.605542i | \(0.792956\pi\) | |||||||
\(132\) | 1.00274e7 | + | 9.30409e6i | 0.379473 | + | 0.352099i | ||||
\(133\) | −2.32448e7 | + | 1.11941e7i | −0.856731 | + | 0.412580i | ||||
\(134\) | 3.06896e6 | − | 462571.i | 0.110185 | − | 0.0166078i | ||||
\(135\) | 333727. | − | 578033.i | 0.0116741 | − | 0.0202201i | ||||
\(136\) | −1.30584e7 | − | 2.26178e7i | −0.445148 | − | 0.771018i | ||||
\(137\) | −2.78474e7 | − | 3.49195e7i | −0.925258 | − | 1.16024i | −0.986769 | − | 0.162130i | \(-0.948163\pi\) |
0.0615114 | − | 0.998106i | \(-0.480408\pi\) | |||||||
\(138\) | 1.03457e6 | + | 1.38053e7i | 0.0335106 | + | 0.447167i | ||||
\(139\) | 9.07289e6 | + | 2.31174e7i | 0.286546 | + | 0.730107i | 0.999580 | + | 0.0289776i | \(0.00922513\pi\) |
−0.713034 | + | 0.701129i | \(0.752680\pi\) | |||||||
\(140\) | 189226. | + | 91126.5i | 0.00582818 | + | 0.00280670i | ||||
\(141\) | −3.50182e6 | − | 1.08017e6i | −0.105203 | − | 0.0324507i | ||||
\(142\) | −49322.6 | + | 125672.i | −0.00144556 | + | 0.00368324i | ||||
\(143\) | 6.38986e6 | − | 5.92893e6i | 0.182732 | − | 0.169551i | ||||
\(144\) | 2.25351e6 | + | 1.53641e6i | 0.0628912 | + | 0.0428785i | ||||
\(145\) | −638562. | + | 800731.i | −0.0173946 | + | 0.0218122i | ||||
\(146\) | −1.43683e7 | − | 2.16567e6i | −0.382093 | − | 0.0575913i | ||||
\(147\) | 1.95681e7 | − | 6.03595e6i | 0.508086 | − | 0.156724i | ||||
\(148\) | 1.45275e6 | − | 1.93856e7i | 0.0368361 | − | 0.491544i | ||||
\(149\) | −3.02635e7 | + | 2.06333e7i | −0.749493 | + | 0.510996i | −0.876793 | − | 0.480868i | \(-0.840321\pi\) |
0.127299 | + | 0.991864i | \(0.459369\pi\) | |||||||
\(150\) | 5.33886e6 | − | 2.33911e7i | 0.129160 | − | 0.565888i | ||||
\(151\) | −2.55809e6 | + | 1.12077e7i | −0.0604640 | + | 0.264910i | −0.996120 | − | 0.0880027i | \(-0.971952\pi\) |
0.935656 | + | 0.352913i | \(0.114809\pi\) | |||||||
\(152\) | −6.03554e7 | + | 4.11496e7i | −1.39400 | + | 0.950415i | ||||
\(153\) | −885906. | + | 1.18216e7i | −0.0199971 | + | 0.266843i | ||||
\(154\) | −2.25464e7 | + | 6.95466e6i | −0.497457 | + | 0.153445i | ||||
\(155\) | −277348. | − | 41803.5i | −0.00598224 | − | 0.000901678i | ||||
\(156\) | 2.47909e6 | − | 3.10868e6i | 0.0522825 | − | 0.0655601i | ||||
\(157\) | 7.82617e7 | + | 5.33579e7i | 1.61399 | + | 1.10040i | 0.927867 | + | 0.372910i | \(0.121640\pi\) |
0.686120 | + | 0.727488i | \(0.259312\pi\) | |||||||
\(158\) | −2.86965e7 | + | 2.66265e7i | −0.578801 | + | 0.537049i | ||||
\(159\) | 1.40072e7 | − | 3.56897e7i | 0.276351 | − | 0.704130i | ||||
\(160\) | 945709. | + | 291712.i | 0.0182531 | + | 0.00563035i | ||||
\(161\) | 2.19830e7 | + | 1.05864e7i | 0.415141 | + | 0.199922i | ||||
\(162\) | 8.07154e6 | + | 2.05659e7i | 0.149160 | + | 0.380055i | ||||
\(163\) | 5.19762e6 | + | 6.93575e7i | 0.0940044 | + | 1.25440i | 0.822266 | + | 0.569103i | \(0.192709\pi\) |
−0.728262 | + | 0.685299i | \(0.759672\pi\) | |||||||
\(164\) | −2.50676e7 | − | 3.14338e7i | −0.443771 | − | 0.556472i | ||||
\(165\) | 633915. | + | 1.09797e6i | 0.0109859 | + | 0.0190282i | ||||
\(166\) | −5.85289e6 | + | 1.01375e7i | −0.0993098 | + | 0.172010i | ||||
\(167\) | −3.41880e7 | + | 5.15301e6i | −0.568023 | + | 0.0856157i | −0.426774 | − | 0.904358i | \(-0.640350\pi\) |
−0.141249 | + | 0.989974i | \(0.545112\pi\) | |||||||
\(168\) | −2.88839e7 | + | 1.39097e7i | −0.469973 | + | 0.226327i | ||||
\(169\) | 4.41405e7 | + | 4.09564e7i | 0.703452 | + | 0.652708i | ||||
\(170\) | −180831. | − | 792271.i | −0.00282294 | − | 0.0123681i | ||||
\(171\) | 3.31576e7 | 0.507103 | ||||||||
\(172\) | 2.86431e7 | − | 1.78059e7i | 0.429210 | − | 0.266818i | ||||
\(173\) | −3.30404e7 | −0.485159 | −0.242579 | − | 0.970132i | \(-0.577993\pi\) | ||||
−0.242579 | + | 0.970132i | \(0.577993\pi\) | |||||||
\(174\) | −1.16787e7 | − | 5.11676e7i | −0.168062 | − | 0.736330i | ||||
\(175\) | −3.09974e7 | − | 2.87614e7i | −0.437213 | − | 0.405674i | ||||
\(176\) | −1.93361e7 | + | 9.31178e6i | −0.267347 | + | 0.128747i | ||||
\(177\) | 8.30891e7 | − | 1.25237e7i | 1.12626 | − | 0.169756i | ||||
\(178\) | 3.79693e7 | − | 6.57648e7i | 0.504618 | − | 0.874024i | ||||
\(179\) | 3.27056e7 | + | 5.66478e7i | 0.426223 | + | 0.738240i | 0.996534 | − | 0.0831890i | \(-0.0265105\pi\) |
−0.570311 | + | 0.821429i | \(0.693177\pi\) | |||||||
\(180\) | −168294. | − | 211034.i | −0.00215087 | − | 0.00269711i | ||||
\(181\) | −5.06036e6 | − | 6.75259e7i | −0.0634318 | − | 0.846438i | −0.934656 | − | 0.355553i | \(-0.884293\pi\) |
0.871224 | − | 0.490885i | \(-0.163326\pi\) | |||||||
\(182\) | 2.50565e6 | + | 6.38430e6i | 0.0308085 | + | 0.0784988i | ||||
\(183\) | 6.31081e6 | + | 3.03913e6i | 0.0761213 | + | 0.0366581i | ||||
\(184\) | 6.60140e7 | + | 2.03626e7i | 0.781220 | + | 0.240975i | ||||
\(185\) | 658263. | − | 1.67723e6i | 0.00764361 | − | 0.0194756i | ||||
\(186\) | 1.05363e7 | − | 9.77622e6i | 0.120058 | − | 0.111398i | ||||
\(187\) | −7.70733e7 | − | 5.25477e7i | −0.861903 | − | 0.587635i | ||||
\(188\) | −3.82774e6 | + | 4.79984e6i | −0.0420136 | + | 0.0526834i | ||||
\(189\) | 5.96082e7 | + | 8.98449e6i | 0.642229 | + | 0.0968004i | ||||
\(190\) | −2.17198e6 | + | 669967.i | −0.0229730 | + | 0.00708624i | ||||
\(191\) | 4.24954e6 | − | 5.67062e7i | 0.0441291 | − | 0.588862i | −0.930682 | − | 0.365829i | \(-0.880785\pi\) |
0.974811 | − | 0.223033i | \(-0.0715956\pi\) | |||||||
\(192\) | −5.79080e7 | + | 3.94810e7i | −0.590452 | + | 0.402563i | ||||
\(193\) | 2.31533e6 | − | 1.01441e7i | 0.0231826 | − | 0.101569i | −0.962013 | − | 0.273004i | \(-0.911983\pi\) |
0.985196 | + | 0.171434i | \(0.0548401\pi\) | |||||||
\(194\) | 2.15567e7 | − | 9.44459e7i | 0.211970 | − | 0.928703i | ||||
\(195\) | 304491. | − | 207599.i | 0.00294072 | − | 0.00200495i | ||||
\(196\) | 2.56368e6 | − | 3.42099e7i | 0.0243202 | − | 0.324530i | ||||
\(197\) | −8.77071e7 | + | 2.70541e7i | −0.817341 | + | 0.252116i | −0.675110 | − | 0.737717i | \(-0.735904\pi\) |
−0.142231 | + | 0.989834i | \(0.545428\pi\) | |||||||
\(198\) | 2.99850e7 | + | 4.51951e6i | 0.274521 | + | 0.0413774i | ||||
\(199\) | 3.92361e7 | − | 4.92005e7i | 0.352939 | − | 0.442572i | −0.573393 | − | 0.819281i | \(-0.694373\pi\) |
0.926332 | + | 0.376709i | \(0.122944\pi\) | |||||||
\(200\) | −9.89218e7 | − | 6.74437e7i | −0.874353 | − | 0.596124i | ||||
\(201\) | 1.10411e7 | − | 1.02447e7i | 0.0959019 | − | 0.0889839i | ||||
\(202\) | 4.46965e7 | − | 1.13885e8i | 0.381543 | − | 0.972156i | ||||
\(203\) | −8.83893e7 | − | 2.72645e7i | −0.741590 | − | 0.228750i | ||||
\(204\) | −3.83366e7 | − | 1.84619e7i | −0.316161 | − | 0.152255i | ||||
\(205\) | −1.36141e6 | − | 3.46881e6i | −0.0110370 | − | 0.0281217i | ||||
\(206\) | −7.97427e6 | − | 1.06409e8i | −0.0635559 | − | 0.848094i | ||||
\(207\) | −1.95512e7 | − | 2.45164e7i | −0.153207 | − | 0.192115i | ||||
\(208\) | 3.11916e6 | + | 5.40254e6i | 0.0240334 | + | 0.0416271i | ||||
\(209\) | −1.30454e8 | + | 2.25954e8i | −0.988432 | + | 1.71201i | ||||
\(210\) | −986390. | + | 148674.i | −0.00734989 | + | 0.00110782i | ||||
\(211\) | 1.83204e7 | − | 8.82262e6i | 0.134260 | − | 0.0646560i | −0.365548 | − | 0.930793i | \(-0.619118\pi\) |
0.499808 | + | 0.866136i | \(0.333404\pi\) | |||||||
\(212\) | −4.70836e7 | − | 4.36872e7i | −0.339386 | − | 0.314905i | ||||
\(213\) | 145790. | + | 638749.i | 0.00103371 | + | 0.00452899i | ||||
\(214\) | 9.50089e7 | 0.662699 | ||||||||
\(215\) | 3.02327e6 | − | 794507.i | 0.0207464 | − | 0.00545209i | ||||
\(216\) | 1.70679e8 | 1.15237 | ||||||||
\(217\) | −5.63685e6 | − | 2.46966e7i | −0.0374479 | − | 0.164070i | ||||
\(218\) | 1.06347e8 | + | 9.86754e7i | 0.695227 | + | 0.645077i | ||||
\(219\) | −6.35333e7 | + | 3.05960e7i | −0.408740 | + | 0.196839i | ||||
\(220\) | 2.10023e6 | − | 316559.i | 0.0132980 | − | 0.00200436i | ||||
\(221\) | −1.35574e7 | + | 2.34821e7i | −0.0844896 | + | 0.146340i | ||||
\(222\) | 4.61657e7 | + | 7.99614e7i | 0.283194 | + | 0.490507i | ||||
\(223\) | 3.51171e7 | + | 4.40355e7i | 0.212057 | + | 0.265911i | 0.876472 | − | 0.481453i | \(-0.159891\pi\) |
−0.664415 | + | 0.747364i | \(0.731319\pi\) | |||||||
\(224\) | 6.67962e6 | + | 8.91333e7i | 0.0397085 | + | 0.529873i | ||||
\(225\) | 1.98544e7 | + | 5.05882e7i | 0.116203 | + | 0.296081i | ||||
\(226\) | −7.05864e7 | − | 3.39926e7i | −0.406763 | − | 0.195887i | ||||
\(227\) | −1.06696e8 | − | 3.29115e7i | −0.605423 | − | 0.186748i | −0.0231372 | − | 0.999732i | \(-0.507365\pi\) |
−0.582286 | + | 0.812984i | \(0.697842\pi\) | |||||||
\(228\) | −4.34804e7 | + | 1.10786e8i | −0.242952 | + | 0.619032i | ||||
\(229\) | 2.40828e8 | − | 2.23456e8i | 1.32520 | − | 1.22961i | 0.371654 | − | 0.928371i | \(-0.378791\pi\) |
0.953549 | − | 0.301238i | \(-0.0973997\pi\) | |||||||
\(230\) | 1.77606e6 | + | 1.21090e6i | 0.00962524 | + | 0.00656237i | ||||
\(231\) | −7.13926e7 | + | 8.95235e7i | −0.381076 | + | 0.477854i | ||||
\(232\) | −2.58972e8 | − | 3.90338e7i | −1.36159 | − | 0.205226i | ||||
\(233\) | −3.06251e7 | + | 9.44660e6i | −0.158611 | + | 0.0489249i | −0.373044 | − | 0.927814i | \(-0.621686\pi\) |
0.214433 | + | 0.976739i | \(0.431210\pi\) | |||||||
\(234\) | 658696. | − | 8.78969e6i | 0.00336070 | − | 0.0448454i | ||||
\(235\) | −470138. | + | 320535.i | −0.00236313 | + | 0.00161116i | ||||
\(236\) | 3.13239e7 | − | 1.37239e8i | 0.155126 | − | 0.679651i | ||||
\(237\) | −4.22741e7 | + | 1.85215e8i | −0.206279 | + | 0.903768i | ||||
\(238\) | 6.06414e7 | − | 4.13446e7i | 0.291575 | − | 0.198792i | ||||
\(239\) | −1.42503e7 | + | 1.90157e8i | −0.0675198 | + | 0.900989i | 0.855886 | + | 0.517164i | \(0.173012\pi\) |
−0.923406 | + | 0.383824i | \(0.874607\pi\) | |||||||
\(240\) | −867033. | + | 267444.i | −0.00404852 | + | 0.00124880i | ||||
\(241\) | 7.60304e7 | + | 1.14597e7i | 0.349887 | + | 0.0527370i | 0.321635 | − | 0.946864i | \(-0.395768\pi\) |
0.0282523 | + | 0.999601i | \(0.491006\pi\) | |||||||
\(242\) | −5.20950e7 | + | 6.53250e7i | −0.236288 | + | 0.296296i | ||||
\(243\) | −1.12571e8 | − | 7.67493e7i | −0.503272 | − | 0.343125i | ||||
\(244\) | 8.60188e6 | − | 7.98138e6i | 0.0379079 | − | 0.0351733i | ||||
\(245\) | 1.16164e6 | − | 2.95982e6i | 0.00504651 | − | 0.0128583i | ||||
\(246\) | 1.82475e8 | + | 5.62860e7i | 0.781501 | + | 0.241061i | ||||
\(247\) | 6.83292e7 | + | 3.29056e7i | 0.288514 | + | 0.138941i | ||||
\(248\) | −2.62035e7 | − | 6.67654e7i | −0.109088 | − | 0.277952i | ||||
\(249\) | 4.24527e6 | + | 5.66492e7i | 0.0174264 | + | 0.232539i | ||||
\(250\) | −4.64651e6 | − | 5.82654e6i | −0.0188077 | − | 0.0235842i | ||||
\(251\) | 5.37167e7 | + | 9.30400e7i | 0.214413 | + | 0.371374i | 0.953091 | − | 0.302684i | \(-0.0978828\pi\) |
−0.738678 | + | 0.674059i | \(0.764549\pi\) | |||||||
\(252\) | 1.21891e7 | − | 2.11121e7i | 0.0479810 | − | 0.0831055i | ||||
\(253\) | 2.43990e8 | − | 3.67756e7i | 0.947219 | − | 0.142770i | ||||
\(254\) | −2.45882e7 | + | 1.18411e7i | −0.0941477 | + | 0.0453391i | ||||
\(255\) | −2.89098e6 | − | 2.68244e6i | −0.0109183 | − | 0.0101307i | ||||
\(256\) | 6.35358e7 | + | 2.78368e8i | 0.236689 | + | 1.03700i | ||||
\(257\) | 1.85841e8 | 0.682928 | 0.341464 | − | 0.939895i | \(-0.389077\pi\) | ||||
0.341464 | + | 0.939895i | \(0.389077\pi\) | |||||||
\(258\) | −6.47633e7 | + | 1.46511e8i | −0.234779 | + | 0.531131i | ||||
\(259\) | 1.62728e8 | 0.581988 | ||||||||
\(260\) | −137380. | − | 601901.i | −0.000484749 | − | 0.00212382i | ||||
\(261\) | 8.71441e7 | + | 8.08579e7i | 0.303387 | + | 0.281502i | ||||
\(262\) | −1.52464e8 | + | 7.34228e7i | −0.523736 | + | 0.252218i | ||||
\(263\) | −4.78353e8 | + | 7.21001e7i | −1.62145 | + | 0.244394i | −0.896056 | − | 0.443941i | \(-0.853580\pi\) |
−0.725393 | + | 0.688335i | \(0.758342\pi\) | |||||||
\(264\) | −1.62102e8 | + | 2.80769e8i | −0.542220 | + | 0.939152i | ||||
\(265\) | −2.97654e6 | − | 5.15552e6i | −0.00982543 | − | 0.0170181i | ||||
\(266\) | −1.27992e8 | − | 1.60497e8i | −0.416963 | − | 0.522855i | ||||
\(267\) | −2.75402e7 | − | 3.67499e8i | −0.0885479 | − | 1.18159i | ||||
\(268\) | −9.21851e6 | − | 2.34884e7i | −0.0292542 | − | 0.0745386i | ||||
\(269\) | 4.36480e8 | + | 2.10198e8i | 1.36720 | + | 0.658407i | 0.966229 | − | 0.257685i | \(-0.0829596\pi\) |
0.400968 | + | 0.916092i | \(0.368674\pi\) | |||||||
\(270\) | 5.07486e6 | + | 1.56539e6i | 0.0156910 | + | 0.00484004i | ||||
\(271\) | 749303. | − | 1.90919e6i | 0.00228699 | − | 0.00582717i | −0.929726 | − | 0.368253i | \(-0.879956\pi\) |
0.932013 | + | 0.362426i | \(0.118051\pi\) | |||||||
\(272\) | 4.89377e7 | − | 4.54075e7i | 0.147453 | − | 0.136816i | ||||
\(273\) | 2.75003e7 | + | 1.87494e7i | 0.0818028 | + | 0.0557722i | ||||
\(274\) | 2.21576e8 | − | 2.77848e8i | 0.650724 | − | 0.815982i | ||||
\(275\) | −4.22850e8 | − | 6.37344e7i | −1.22609 | − | 0.184803i | ||||
\(276\) | 1.07552e8 | − | 3.31755e7i | 0.307920 | − | 0.0949808i | ||||
\(277\) | −1.56550e7 | + | 2.08902e8i | −0.0442563 | + | 0.590559i | 0.930356 | + | 0.366658i | \(0.119498\pi\) |
−0.974612 | + | 0.223901i | \(0.928121\pi\) | |||||||
\(278\) | −1.63265e8 | + | 1.11312e8i | −0.455759 | + | 0.310731i | ||||
\(279\) | −7.24442e6 | + | 3.17399e7i | −0.0199705 | + | 0.0874965i | ||||
\(280\) | −1.10766e6 | + | 4.85298e6i | −0.00301546 | + | 0.0132116i | ||||
\(281\) | 2.87450e8 | − | 1.95980e8i | 0.772840 | − | 0.526914i | −0.111495 | − | 0.993765i | \(-0.535564\pi\) |
0.884336 | + | 0.466851i | \(0.154612\pi\) | |||||||
\(282\) | 2.17903e6 | − | 2.90772e7i | 0.00578618 | − | 0.0772112i | ||||
\(283\) | −6.25576e8 | + | 1.92965e8i | −1.64069 | + | 0.506087i | −0.971508 | − | 0.237008i | \(-0.923833\pi\) |
−0.669186 | + | 0.743095i | \(0.733357\pi\) | |||||||
\(284\) | 1.08533e6 | + | 163588.i | 0.00281157 | + | 0.000423776i | ||||
\(285\) | −6.87750e6 | + | 8.62411e6i | −0.0175984 | + | 0.0220677i | ||||
\(286\) | 5.73062e7 | + | 3.90707e7i | 0.144851 | + | 0.0987574i | ||||
\(287\) | 2.46710e8 | − | 2.28914e8i | 0.616028 | − | 0.571591i | ||||
\(288\) | 4.19684e7 | − | 1.06934e8i | 0.103526 | − | 0.263779i | ||||
\(289\) | −1.14833e8 | − | 3.54213e7i | −0.279849 | − | 0.0863220i | ||||
\(290\) | −7.34213e6 | − | 3.53578e6i | −0.0176778 | − | 0.00851320i | ||||
\(291\) | −1.71759e8 | − | 4.37634e8i | −0.408595 | − | 1.04108i | ||||
\(292\) | 8.82817e6 | + | 1.17804e8i | 0.0207506 | + | 0.276898i | ||||
\(293\) | −1.06958e8 | − | 1.34121e8i | −0.248415 | − | 0.311502i | 0.641953 | − | 0.766744i | \(-0.278124\pi\) |
−0.890368 | + | 0.455242i | \(0.849553\pi\) | |||||||
\(294\) | 8.14691e7 | + | 1.41109e8i | 0.186972 | + | 0.323846i | ||||
\(295\) | 6.52352e6 | − | 1.12991e7i | 0.0147947 | − | 0.0256251i | ||||
\(296\) | 4.55597e8 | − | 6.86702e7i | 1.02108 | − | 0.153903i | ||||
\(297\) | 5.49247e8 | − | 2.64503e8i | 1.21652 | − | 0.585846i | ||||
\(298\) | −2.13643e8 | − | 1.98231e8i | −0.467661 | − | 0.433926i | ||||
\(299\) | −1.59599e7 | − | 6.99247e7i | −0.0345287 | − | 0.151280i | ||||
\(300\) | −1.95061e8 | −0.417106 | ||||||||
\(301\) | 1.66552e8 | + | 2.27958e8i | 0.352019 | + | 0.481805i | ||||
\(302\) | −9.14711e7 | −0.191100 | ||||||||
\(303\) | −1.32116e8 | − | 5.78838e8i | −0.272839 | − | 1.19539i | ||||
\(304\) | −1.36878e8 | − | 1.27004e8i | −0.279432 | − | 0.259275i | ||||
\(305\) | 979885. | − | 471888.i | 0.00197754 | − | 0.000952334i | ||||
\(306\) | −9.32724e7 | + | 1.40586e7i | −0.186092 | + | 0.0280489i | ||||
\(307\) | 1.41090e8 | − | 2.44374e8i | 0.278298 | − | 0.482027i | −0.692664 | − | 0.721261i | \(-0.743563\pi\) |
0.970962 | + | 0.239234i | \(0.0768963\pi\) | |||||||
\(308\) | 9.59129e7 | + | 1.66126e8i | 0.187047 | + | 0.323974i | ||||
\(309\) | −3.22875e8 | − | 4.04872e8i | −0.622558 | − | 0.780663i | ||||
\(310\) | −166777. | − | 2.22549e6i | −0.000317959 | − | 0.00424287i | ||||
\(311\) | −2.78949e8 | − | 7.10749e8i | −0.525851 | − | 1.33985i | −0.909245 | − | 0.416262i | \(-0.863340\pi\) |
0.383394 | − | 0.923585i | \(-0.374755\pi\) | |||||||
\(312\) | 8.49057e7 | + | 4.08884e7i | 0.158269 | + | 0.0762183i | ||||
\(313\) | −2.46969e8 | − | 7.61799e7i | −0.455237 | − | 0.140422i | 0.0586525 | − | 0.998278i | \(-0.481320\pi\) |
−0.513889 | + | 0.857857i | \(0.671796\pi\) | |||||||
\(314\) | −2.75347e8 | + | 7.01573e8i | −0.501911 | + | 1.27885i | ||||
\(315\) | 1.65631e6 | − | 1.53683e6i | 0.00298576 | − | 0.00277038i | ||||
\(316\) | 2.62962e8 | + | 1.79284e8i | 0.468800 | + | 0.319623i | ||||
\(317\) | −2.38595e8 | + | 2.99188e8i | −0.420682 | + | 0.527518i | −0.946338 | − | 0.323179i | \(-0.895248\pi\) |
0.525656 | + | 0.850697i | \(0.323820\pi\) | |||||||
\(318\) | 3.01656e8 | + | 4.54674e7i | 0.526039 | + | 0.0792876i | ||||
\(319\) | −8.93868e8 | + | 2.75722e8i | −1.54172 | + | 0.475558i | ||||
\(320\) | −813240. | + | 1.08519e7i | −0.00138737 | + | 0.0185132i | ||||
\(321\) | 3.80960e8 | − | 2.59734e8i | 0.642853 | − | 0.438290i | ||||
\(322\) | −4.32003e7 | + | 1.89273e8i | −0.0721092 | + | 0.315931i | ||||
\(323\) | 1.80596e8 | − | 7.91245e8i | 0.298195 | − | 1.30648i | ||||
\(324\) | 1.48408e8 | − | 1.01183e8i | 0.242409 | − | 0.165272i | ||||
\(325\) | −9.28898e6 | + | 1.23953e8i | −0.0150099 | + | 0.200293i | ||||
\(326\) | −5.28825e8 | + | 1.63121e8i | −0.845377 | + | 0.260764i | ||||
\(327\) | 6.96180e8 | + | 1.04932e8i | 1.10104 | + | 0.165955i | ||||
\(328\) | 5.94124e8 | − | 7.45008e8i | 0.929648 | − | 1.16574i | ||||
\(329\) | −4.24608e7 | − | 2.89493e7i | −0.0657358 | − | 0.0448179i | ||||
\(330\) | −7.39494e6 | + | 6.86150e6i | −0.0113276 | + | 0.0105104i | ||||
\(331\) | −8.81462e6 | + | 2.24593e7i | −0.0133600 | + | 0.0340406i | −0.937398 | − | 0.348260i | \(-0.886773\pi\) |
0.924038 | + | 0.382300i | \(0.124868\pi\) | |||||||
\(332\) | 9.09404e7 | + | 2.80514e7i | 0.136387 | + | 0.0420699i | ||||
\(333\) | −1.88426e8 | − | 9.07412e7i | −0.279631 | − | 0.134663i | ||||
\(334\) | −1.00505e8 | − | 2.56083e8i | −0.147596 | − | 0.376070i | ||||
\(335\) | −174769. | − | 2.33213e6i | −0.000253985 | − | 0.00338919i | ||||
\(336\) | −5.10932e7 | − | 6.40689e7i | −0.0734812 | − | 0.0921424i | ||||
\(337\) | 5.85612e8 | + | 1.01431e9i | 0.833500 | + | 1.44366i | 0.895246 | + | 0.445572i | \(0.147000\pi\) |
−0.0617459 | + | 0.998092i | \(0.519667\pi\) | |||||||
\(338\) | −2.39559e8 | + | 4.14928e8i | −0.337445 | + | 0.584472i | ||||
\(339\) | −3.75961e8 | + | 5.66670e7i | −0.524136 | + | 0.0790007i | ||||
\(340\) | −5.95256e6 | + | 2.86660e6i | −0.00821349 | + | 0.00395541i | ||||
\(341\) | −1.87790e8 | − | 1.74244e8i | −0.256468 | − | 0.237968i | ||||
\(342\) | 5.87074e7 | + | 2.57214e8i | 0.0793599 | + | 0.347698i | ||||
\(343\) | 7.33120e8 | 0.980947 | ||||||||
\(344\) | 5.62497e8 | + | 5.67938e8i | 0.745017 | + | 0.752223i | ||||
\(345\) | 1.04319e7 | 0.0136772 | ||||||||
\(346\) | −5.84999e7 | − | 2.56305e8i | −0.0759257 | − | 0.332652i | ||||
\(347\) | 9.83175e8 | + | 9.12253e8i | 1.26322 | + | 1.17209i | 0.976839 | + | 0.213977i | \(0.0686418\pi\) |
0.286378 | + | 0.958117i | \(0.407549\pi\) | |||||||
\(348\) | −3.84437e8 | + | 1.85135e8i | −0.488988 | + | 0.235484i | ||||
\(349\) | 1.01947e9 | − | 1.53660e8i | 1.28377 | − | 0.193497i | 0.528510 | − | 0.848927i | \(-0.322751\pi\) |
0.755256 | + | 0.655430i | \(0.227513\pi\) | |||||||
\(350\) | 1.68229e8 | − | 2.91381e8i | 0.209731 | − | 0.363264i | ||||
\(351\) | −8.86004e7 | − | 1.53460e8i | −0.109361 | − | 0.189418i | ||||
\(352\) | 5.63584e8 | + | 7.06712e8i | 0.688747 | + | 0.863661i | ||||
\(353\) | 3.30259e7 | + | 4.40700e8i | 0.0399617 | + | 0.533251i | 0.980879 | + | 0.194616i | \(0.0623462\pi\) |
−0.940918 | + | 0.338635i | \(0.890035\pi\) | |||||||
\(354\) | 2.44264e8 | + | 6.22374e8i | 0.292650 | + | 0.745659i | ||||
\(355\) | 91655.2 | + | 44138.8i | 0.000108732 | + | 5.23627e-5i | ||||
\(356\) | −5.89956e8 | − | 1.81977e8i | −0.693018 | − | 0.213768i | ||||
\(357\) | 1.30128e8 | − | 3.31561e8i | 0.151368 | − | 0.385678i | ||||
\(358\) | −3.81528e8 | + | 3.54006e8i | −0.439476 | + | 0.407774i | ||||
\(359\) | −1.16362e9 | − | 7.93343e8i | −1.32734 | − | 0.904962i | −0.328123 | − | 0.944635i | \(-0.606416\pi\) |
−0.999213 | + | 0.0396733i | \(0.987368\pi\) | |||||||
\(360\) | 3.98871e6 | − | 5.00168e6i | 0.00450582 | − | 0.00565012i | ||||
\(361\) | −1.36077e9 | − | 2.05104e8i | −1.52234 | − | 0.229455i | ||||
\(362\) | 5.14860e8 | − | 1.58813e8i | 0.570438 | − | 0.175957i | ||||
\(363\) | −3.03020e7 | + | 4.04352e8i | −0.0332505 | + | 0.443697i | ||||
\(364\) | 4.60703e7 | − | 3.14102e7i | 0.0500687 | − | 0.0341362i | ||||
\(365\) | −2.43642e6 | + | 1.06747e7i | −0.00262257 | + | 0.0114902i | ||||
\(366\) | −1.24018e7 | + | 5.43359e7i | −0.0132221 | + | 0.0579299i | ||||
\(367\) | −1.31942e9 | + | 8.99563e8i | −1.39332 | + | 0.949949i | −0.393793 | + | 0.919199i | \(0.628837\pi\) |
−0.999527 | + | 0.0307501i | \(0.990210\pi\) | |||||||
\(368\) | −1.31964e7 | + | 1.76094e8i | −0.0138035 | + | 0.184195i | ||||
\(369\) | −4.13317e8 | + | 1.27492e8i | −0.428244 | + | 0.132096i | ||||
\(370\) | 1.41763e7 | + | 2.13673e6i | 0.0145498 | + | 0.00219302i | ||||
\(371\) | 3.35223e8 | − | 4.20356e8i | 0.340820 | − | 0.427375i | ||||
\(372\) | −9.65495e7 | − | 6.58264e7i | −0.0972411 | − | 0.0662979i | ||||
\(373\) | −6.34384e8 | + | 5.88622e8i | −0.632953 | + | 0.587294i | −0.929996 | − | 0.367570i | \(-0.880190\pi\) |
0.297043 | + | 0.954864i | \(0.403999\pi\) | |||||||
\(374\) | 2.71166e8 | − | 6.90920e8i | 0.268031 | − | 0.682932i | ||||
\(375\) | −3.45598e7 | − | 1.06603e7i | −0.0338424 | − | 0.0104390i | ||||
\(376\) | −1.31095e8 | − | 6.31322e7i | −0.127183 | − | 0.0612482i | ||||
\(377\) | 9.93381e7 | + | 2.53109e8i | 0.0954820 | + | 0.243284i | ||||
\(378\) | 3.58442e7 | + | 4.78307e8i | 0.0341348 | + | 0.455497i | ||||
\(379\) | 4.47421e8 | + | 5.61048e8i | 0.422162 | + | 0.529374i | 0.946745 | − | 0.321985i | \(-0.104350\pi\) |
−0.524583 | + | 0.851359i | \(0.675779\pi\) | |||||||
\(380\) | 9.23963e6 | + | 1.60035e7i | 0.00863798 | + | 0.0149614i | ||||
\(381\) | −6.62212e7 | + | 1.14699e8i | −0.0613423 | + | 0.106248i | ||||
\(382\) | 4.47412e8 | − | 6.74364e7i | 0.410663 | − | 0.0618975i | ||||
\(383\) | −3.16842e8 | + | 1.52583e8i | −0.288169 | + | 0.138775i | −0.572384 | − | 0.819986i | \(-0.693981\pi\) |
0.284215 | + | 0.958761i | \(0.408267\pi\) | |||||||
\(384\) | 1.89269e8 | + | 1.75616e8i | 0.170577 | + | 0.158272i | ||||
\(385\) | 3.95626e6 | + | 1.73335e7i | 0.00353323 | + | 0.0154801i | ||||
\(386\) | 8.27904e7 | 0.0732697 | ||||||||
\(387\) | −6.57384e7 | − | 3.56829e8i | −0.0576542 | − | 0.312948i | ||||
\(388\) | −7.87596e8 | −0.684530 | ||||||||
\(389\) | 1.40289e8 | + | 6.14645e8i | 0.120837 | + | 0.529420i | 0.998722 | + | 0.0505486i | \(0.0160970\pi\) |
−0.877885 | + | 0.478872i | \(0.841046\pi\) | |||||||
\(390\) | 2.14953e6 | + | 1.99447e6i | 0.00183492 | + | 0.00170256i | ||||
\(391\) | −6.91528e8 | + | 3.33022e8i | −0.585047 | + | 0.281744i | ||||
\(392\) | 8.03997e8 | − | 1.21183e8i | 0.674144 | − | 0.101611i | ||||
\(393\) | −4.10617e8 | + | 7.11209e8i | −0.341242 | + | 0.591049i | ||||
\(394\) | −3.65157e8 | − | 6.32471e8i | −0.300776 | − | 0.520959i | ||||
\(395\) | 1.83918e7 | + | 2.30625e7i | 0.0150153 | + | 0.0188286i | ||||
\(396\) | −1.84234e7 | − | 2.45843e8i | −0.0149086 | − | 0.198942i | ||||
\(397\) | −9.67998e6 | − | 2.46642e7i | −0.00776439 | − | 0.0197834i | 0.926939 | − | 0.375212i | \(-0.122430\pi\) |
−0.934703 | + | 0.355429i | \(0.884335\pi\) | |||||||
\(398\) | 4.51133e8 | + | 2.17254e8i | 0.358686 | + | 0.172734i | ||||
\(399\) | −9.51979e8 | − | 2.93647e8i | −0.750278 | − | 0.231430i | ||||
\(400\) | 1.11808e8 | − | 2.84882e8i | 0.0873501 | − | 0.222564i | ||||
\(401\) | 1.64116e9 | − | 1.52278e9i | 1.27100 | − | 1.17932i | 0.296478 | − | 0.955040i | \(-0.404188\pi\) |
0.974525 | − | 0.224278i | \(-0.0720025\pi\) | |||||||
\(402\) | 9.90200e7 | + | 6.75107e7i | 0.0760207 | + | 0.0518300i | ||||
\(403\) | −4.64276e7 | + | 5.82184e7i | −0.0353353 | + | 0.0443090i | ||||
\(404\) | −9.83536e8 | − | 1.48244e8i | −0.742088 | − | 0.111852i | ||||
\(405\) | 1.59082e7 | − | 4.90703e6i | 0.0118995 | − | 0.00367051i | ||||
\(406\) | 5.50010e7 | − | 7.33937e8i | 0.0407877 | − | 0.544274i | ||||
\(407\) | 1.35970e9 | − | 9.27027e8i | 0.999683 | − | 0.681572i | ||||
\(408\) | 2.24409e8 | − | 9.83198e8i | 0.163579 | − | 0.716689i | ||||
\(409\) | −1.50739e8 | + | 6.60431e8i | −0.108942 | + | 0.477305i | 0.890796 | + | 0.454403i | \(0.150148\pi\) |
−0.999738 | + | 0.0229014i | \(0.992710\pi\) | |||||||
\(410\) | 2.44982e7 | − | 1.67026e7i | 0.0175546 | − | 0.0119685i | ||||
\(411\) | 1.28884e8 | − | 1.71984e9i | 0.0915699 | − | 1.22192i | ||||
\(412\) | −8.28996e8 | + | 2.55711e8i | −0.583999 | + | 0.180140i | ||||
\(413\) | 1.16519e9 | + | 1.75624e8i | 0.813901 | + | 0.122676i | ||||
\(414\) | 1.55565e8 | − | 1.95073e8i | 0.107749 | − | 0.135112i | ||||
\(415\) | 7.28795e6 | + | 4.96884e6i | 0.00500538 | + | 0.00341261i | ||||
\(416\) | 1.92607e8 | − | 1.78713e8i | 0.131173 | − | 0.121711i | ||||
\(417\) | −3.50344e8 | + | 8.92661e8i | −0.236602 | + | 0.602851i | ||||
\(418\) | −1.98377e9 | − | 6.11912e8i | −1.32854 | − | 0.409800i | ||||
\(419\) | 9.18290e8 | + | 4.42225e8i | 0.609861 | + | 0.293694i | 0.713209 | − | 0.700952i | \(-0.247241\pi\) |
−0.103348 | + | 0.994645i | \(0.532955\pi\) | |||||||
\(420\) | 2.96291e6 | + | 7.54937e6i | 0.00195140 | + | 0.00497208i | ||||
\(421\) | 1.35266e8 | + | 1.80500e9i | 0.0883488 | + | 1.17893i | 0.848503 | + | 0.529190i | \(0.177504\pi\) |
−0.760154 | + | 0.649743i | \(0.774877\pi\) | |||||||
\(422\) | 1.00877e8 | + | 1.26496e8i | 0.0653430 | + | 0.0819375i | ||||
\(423\) | 3.30232e7 | + | 5.71979e7i | 0.0212143 | + | 0.0367442i | ||||
\(424\) | 7.61149e8 | − | 1.31835e9i | 0.484941 | − | 0.839943i | ||||
\(425\) | 1.31533e9 | − | 1.98255e8i | 0.831141 | − | 0.125274i | ||||
\(426\) | −4.69684e6 | + | 2.26188e6i | −0.00294356 | + | 0.00141754i | ||||
\(427\) | 7.20050e7 | + | 6.68109e7i | 0.0447574 | + | 0.0415288i | ||||
\(428\) | −1.71881e8 | − | 7.53061e8i | −0.105968 | − | 0.464277i | ||||
\(429\) | 3.36593e8 | 0.205828 | ||||||||
\(430\) | 1.15161e7 | + | 2.20457e7i | 0.00698499 | + | 0.0133716i | ||||
\(431\) | −1.74224e8 | −0.104818 | −0.0524092 | − | 0.998626i | \(-0.516690\pi\) | ||||
−0.0524092 | + | 0.998626i | \(0.516690\pi\) | |||||||
\(432\) | 9.70820e7 | + | 4.25344e8i | 0.0579356 | + | 0.253833i | ||||
\(433\) | 8.00884e8 | + | 7.43112e8i | 0.474091 | + | 0.439892i | 0.880675 | − | 0.473721i | \(-0.157090\pi\) |
−0.406584 | + | 0.913614i | \(0.633280\pi\) | |||||||
\(434\) | 1.81599e8 | − | 8.74536e7i | 0.106635 | − | 0.0513527i | ||||
\(435\) | −3.91060e7 | + | 5.89429e6i | −0.0227788 | + | 0.00343336i | ||||
\(436\) | 5.89729e8 | − | 1.02144e9i | 0.340761 | − | 0.590216i | ||||
\(437\) | 1.07340e9 | + | 1.85918e9i | 0.615283 | + | 1.06570i | ||||
\(438\) | −3.49832e8 | − | 4.38676e8i | −0.198930 | − | 0.249450i | ||||
\(439\) | 9.95685e7 | + | 1.32865e9i | 0.0561690 | + | 0.749523i | 0.952189 | + | 0.305509i | \(0.0988267\pi\) |
−0.896020 | + | 0.444013i | \(0.853554\pi\) | |||||||
\(440\) | 1.83911e7 | + | 4.68598e7i | 0.0102926 | + | 0.0262250i | ||||
\(441\) | −3.32517e8 | − | 1.60132e8i | −0.184620 | − | 0.0889084i | ||||
\(442\) | −2.06162e8 | − | 6.35926e7i | −0.113561 | − | 0.0350291i | ||||
\(443\) | 8.75876e8 | − | 2.23170e9i | 0.478663 | − | 1.21961i | −0.463991 | − | 0.885840i | \(-0.653583\pi\) |
0.942654 | − | 0.333773i | \(-0.108322\pi\) | |||||||
\(444\) | 5.50272e8 | − | 5.10578e8i | 0.298358 | − | 0.276835i | ||||
\(445\) | −4.72790e7 | − | 3.22342e7i | −0.0254336 | − | 0.0173403i | ||||
\(446\) | −2.79420e8 | + | 3.50382e8i | −0.149137 | + | 0.187012i | ||||
\(447\) | −1.39857e9 | − | 2.10801e8i | −0.740642 | − | 0.111634i | ||||
\(448\) | −9.39181e8 | + | 2.89699e8i | −0.493488 | + | 0.152221i | ||||
\(449\) | 1.97953e8 | − | 2.64150e9i | 0.103205 | − | 1.37717i | −0.669690 | − | 0.742641i | \(-0.733573\pi\) |
0.772895 | − | 0.634534i | \(-0.218808\pi\) | |||||||
\(450\) | −3.57275e8 | + | 2.43586e8i | −0.184824 | + | 0.126011i | ||||
\(451\) | 7.57350e8 | − | 3.31817e9i | 0.388758 | − | 1.70326i | ||||
\(452\) | −1.41734e8 | + | 6.20979e8i | −0.0721922 | + | 0.316295i | ||||
\(453\) | −3.66775e8 | + | 2.50063e8i | −0.185377 | + | 0.126388i | ||||
\(454\) | 6.63927e7 | − | 8.85949e8i | 0.0332985 | − | 0.444338i | ||||
\(455\) | 4.93839e6 | − | 1.52329e6i | 0.00245780 | − | 0.000758130i | ||||
\(456\) | −2.78921e9 | − | 4.20406e8i | −1.37754 | − | 0.207631i | ||||
\(457\) | −3.25599e8 | + | 4.08288e8i | −0.159579 | + | 0.200106i | −0.855193 | − | 0.518310i | \(-0.826561\pi\) |
0.695613 | + | 0.718416i | \(0.255133\pi\) | |||||||
\(458\) | 2.15981e9 | + | 1.47254e9i | 1.05048 | + | 0.716204i | ||||
\(459\) | −1.39009e9 | + | 1.28981e9i | −0.670961 | + | 0.622561i | ||||
\(460\) | 6.38476e6 | − | 1.62681e7i | 0.00305839 | − | 0.00779264i | ||||
\(461\) | −2.50567e9 | − | 7.72896e8i | −1.19116 | − | 0.367424i | −0.365079 | − | 0.930976i | \(-0.618958\pi\) |
−0.826080 | + | 0.563552i | \(0.809434\pi\) | |||||||
\(462\) | −8.20866e8 | − | 3.95308e8i | −0.387280 | − | 0.186504i | ||||
\(463\) | −8.25480e8 | − | 2.10329e9i | −0.386521 | − | 0.984839i | −0.983228 | − | 0.182380i | \(-0.941620\pi\) |
0.596707 | − | 0.802459i | \(-0.296475\pi\) | |||||||
\(464\) | −5.00283e7 | − | 6.67581e8i | −0.0232489 | − | 0.310235i | ||||
\(465\) | −6.75275e6 | − | 8.46768e6i | −0.00311455 | − | 0.00390552i | ||||
\(466\) | −1.27504e8 | − | 2.20843e8i | −0.0583677 | − | 0.101096i | ||||
\(467\) | −6.86942e8 | + | 1.18982e9i | −0.312113 | + | 0.540595i | −0.978819 | − | 0.204725i | \(-0.934370\pi\) |
0.666707 | + | 0.745320i | \(0.267703\pi\) | |||||||
\(468\) | −7.08606e7 | + | 1.06805e7i | −0.0319554 | + | 0.00481650i | ||||
\(469\) | 1.90301e8 | − | 9.16441e7i | 0.0851797 | − | 0.0410204i | ||||
\(470\) | −3.31889e6 | − | 3.07948e6i | −0.00147452 | − | 0.00136816i | ||||
\(471\) | 8.13884e8 | + | 3.56586e9i | 0.358913 | + | 1.57250i | ||||
\(472\) | 3.33634e9 | 1.46040 | ||||||||
\(473\) | 2.69027e9 | + | 9.55923e8i | 1.16891 | + | 0.415345i | ||||
\(474\) | −1.51162e9 | −0.651956 | ||||||||
\(475\) | −8.27895e8 | − | 3.62725e9i | −0.354444 | − | 1.55292i | ||||
\(476\) | −4.37413e8 | − | 4.05860e8i | −0.185895 | − | 0.172485i | ||||
\(477\) | −6.22561e8 | + | 2.99809e8i | −0.262644 | + | 0.126483i | ||||
\(478\) | −1.50034e9 | + | 2.26139e8i | −0.628335 | + | 0.0947063i | ||||
\(479\) | −1.63116e9 | + | 2.82526e9i | −0.678146 | + | 1.17458i | 0.297393 | + | 0.954755i | \(0.403883\pi\) |
−0.975539 | + | 0.219828i | \(0.929450\pi\) | |||||||
\(480\) | 1.91079e7 | + | 3.30958e7i | 0.00788620 | + | 0.0136593i | ||||
\(481\) | −2.98246e8 | − | 3.73988e8i | −0.122199 | − | 0.153232i | ||||
\(482\) | 4.57193e7 | + | 6.10082e8i | 0.0185967 | + | 0.248155i | ||||
\(483\) | 3.44210e8 | + | 8.77033e8i | 0.138998 | + | 0.354161i | ||||
\(484\) | 6.12025e8 | + | 2.94736e8i | 0.245364 | + | 0.118161i | ||||
\(485\) | −6.97548e7 | − | 2.15165e7i | −0.0277637 | − | 0.00856398i | ||||
\(486\) | 3.96056e8 | − | 1.00913e9i | 0.156505 | − | 0.398769i | ||||
\(487\) | −2.80349e9 | + | 2.60125e9i | −1.09988 | + | 1.02054i | −0.100211 | + | 0.994966i | \(0.531952\pi\) |
−0.999673 | + | 0.0255770i | \(0.991858\pi\) | |||||||
\(488\) | 2.29789e8 | + | 1.56667e8i | 0.0895075 | + | 0.0610252i | ||||
\(489\) | −1.67451e9 | + | 2.09977e9i | −0.647599 | + | 0.812063i | ||||
\(490\) | 2.50170e7 | + | 3.77071e6i | 0.00960614 | + | 0.00144789i | ||||
\(491\) | 3.42475e9 | − | 1.05639e9i | 1.30570 | − | 0.402755i | 0.437611 | − | 0.899165i | \(-0.355825\pi\) |
0.868088 | + | 0.496410i | \(0.165349\pi\) | |||||||
\(492\) | 1.16019e8 | − | 1.54816e9i | 0.0439187 | − | 0.586054i | ||||
\(493\) | 2.40417e9 | − | 1.63913e9i | 0.903650 | − | 0.616098i | ||||
\(494\) | −1.34279e8 | + | 5.88313e8i | −0.0501144 | + | 0.219565i | ||||
\(495\) | 5.08455e6 | − | 2.22769e7i | 0.00188423 | − | 0.00825535i | ||||
\(496\) | 1.51480e8 | − | 1.03277e8i | 0.0557402 | − | 0.0380031i | ||||
\(497\) | −686603. | + | 9.16208e6i | −0.000250875 | + | 0.00334770i | ||||
\(498\) | −4.31929e8 | + | 1.33232e8i | −0.156715 | + | 0.0483401i | ||||
\(499\) | 3.27151e9 | + | 4.93101e8i | 1.17868 | + | 0.177658i | 0.709020 | − | 0.705188i | \(-0.249138\pi\) |
0.469662 | + | 0.882846i | \(0.344376\pi\) | |||||||
\(500\) | −3.77763e7 | + | 4.73700e7i | −0.0135153 | + | 0.0169476i | ||||
\(501\) | −1.10308e9 | − | 7.52064e8i | −0.391898 | − | 0.267192i | ||||
\(502\) | −6.26632e8 | + | 5.81430e8i | −0.221080 | + | 0.205132i | ||||
\(503\) | −1.28901e9 | + | 3.28434e9i | −0.451614 | + | 1.15069i | 0.505973 | + | 0.862549i | \(0.331134\pi\) |
−0.957587 | + | 0.288145i | \(0.906962\pi\) | |||||||
\(504\) | 5.52115e8 | + | 1.70305e8i | 0.192098 | + | 0.0592543i | ||||
\(505\) | −8.30586e7 | − | 3.99989e7i | −0.0286989 | − | 0.0138206i | ||||
\(506\) | 7.17278e8 | + | 1.82759e9i | 0.246128 | + | 0.627124i | ||||
\(507\) | 1.73759e8 | + | 2.31865e9i | 0.0592133 | + | 0.790146i | ||||
\(508\) | 1.38338e8 | + | 1.73470e8i | 0.0468185 | + | 0.0587085i | ||||
\(509\) | 7.22082e8 | + | 1.25068e9i | 0.242702 | + | 0.420373i | 0.961483 | − | 0.274864i | \(-0.0886328\pi\) |
−0.718781 | + | 0.695237i | \(0.755299\pi\) | |||||||
\(510\) | 1.56899e7 | − | 2.71757e7i | 0.00523750 | − | 0.00907162i | ||||
\(511\) | −9.77837e8 | + | 1.47385e8i | −0.324185 | + | 0.0488631i | ||||
\(512\) | −1.27579e9 | + | 6.14387e8i | −0.420082 | + | 0.202301i | ||||
\(513\) | 3.88805e9 | + | 3.60759e9i | 1.27151 | + | 1.17979i | ||||
\(514\) | 3.29041e8 | + | 1.44162e9i | 0.106876 | + | 0.468254i | ||||
\(515\) | −8.04072e7 | −0.0259400 | ||||||||
\(516\) | 1.27844e9 | + | 2.48273e8i | 0.409644 | + | 0.0795529i | ||||
\(517\) | −5.19704e8 | −0.165401 | ||||||||
\(518\) | 2.88120e8 | + | 1.26234e9i | 0.0910792 | + | 0.399044i | ||||
\(519\) | −9.35251e8 | − | 8.67786e8i | −0.293658 | − | 0.272475i | ||||
\(520\) | 1.31834e7 | − | 6.34878e6i | 0.00411164 | − | 0.00198006i | ||||
\(521\) | 3.65556e9 | − | 5.50987e8i | 1.13246 | − | 0.170691i | 0.444042 | − | 0.896006i | \(-0.353544\pi\) |
0.688417 | + | 0.725316i | \(0.258306\pi\) | |||||||
\(522\) | −4.72947e8 | + | 8.19168e8i | −0.145534 | + | 0.252073i | ||||
\(523\) | −8.30946e8 | − | 1.43924e9i | −0.253990 | − | 0.439924i | 0.710631 | − | 0.703565i | \(-0.248410\pi\) |
−0.964621 | + | 0.263642i | \(0.915076\pi\) | |||||||
\(524\) | 8.57787e8 | + | 1.07563e9i | 0.260447 | + | 0.326591i | ||||
\(525\) | −1.22021e8 | − | 1.62826e9i | −0.0368025 | − | 0.491095i | ||||
\(526\) | −1.40625e9 | − | 3.58308e9i | −0.421322 | − | 1.07351i | ||||
\(527\) | 7.17956e8 | + | 3.45750e8i | 0.213679 | + | 0.102902i | ||||
\(528\) | −7.91902e8 | − | 2.44269e8i | −0.234128 | − | 0.0722188i | ||||
\(529\) | −5.02185e8 | + | 1.27955e9i | −0.147492 | + | 0.375804i | ||||
\(530\) | 3.47229e7 | − | 3.22181e7i | 0.0101309 | − | 0.00940014i | ||||
\(531\) | −1.25126e9 | − | 8.53095e8i | −0.362674 | − | 0.247267i | ||||
\(532\) | −1.04058e9 | + | 1.30485e9i | −0.299630 | + | 0.375725i | ||||
\(533\) | −9.78264e8 | − | 1.47450e8i | −0.279841 | − | 0.0421792i | ||||
\(534\) | 2.80204e9 | − | 8.64316e8i | 0.796307 | − | 0.245628i | ||||
\(535\) | 5.35007e6 | − | 7.13918e7i | 0.00151050 | − | 0.0201563i | ||||
\(536\) | 4.94120e8 | − | 3.36885e8i | 0.138597 | − | 0.0944941i | ||||
\(537\) | −5.62046e8 | + | 2.46248e9i | −0.156625 | + | 0.686220i | ||||
\(538\) | −8.57756e8 | + | 3.75808e9i | −0.237479 | + | 1.04047i | ||||
\(539\) | 2.39947e9 | − | 1.63593e9i | 0.660017 | − | 0.449992i | ||||
\(540\) | 3.22663e6 | − | 4.30564e7i | 0.000881802 | − | 0.0117668i | ||||
\(541\) | −1.35859e9 | + | 4.19068e8i | −0.368890 | + | 0.113787i | −0.473657 | − | 0.880709i | \(-0.657066\pi\) |
0.104767 | + | 0.994497i | \(0.466590\pi\) | |||||||
\(542\) | 1.61369e7 | + | 2.43225e6i | 0.00435334 | + | 0.000656160i | ||||
\(543\) | 1.63029e9 | − | 2.04431e9i | 0.436983 | − | 0.547959i | ||||
\(544\) | −2.32319e9 | − | 1.58392e9i | −0.618712 | − | 0.421831i | ||||
\(545\) | 8.01353e7 | − | 7.43547e7i | 0.0212049 | − | 0.0196753i | ||||
\(546\) | −9.67540e7 | + | 2.46525e8i | −0.0254387 | + | 0.0648167i | ||||
\(547\) | 6.80779e9 | + | 2.09993e9i | 1.77849 | + | 0.548591i | 0.997145 | − | 0.0755119i | \(-0.0240591\pi\) |
0.781342 | + | 0.624103i | \(0.214535\pi\) | |||||||
\(548\) | −2.60314e9 | − | 1.25361e9i | −0.675718 | − | 0.325408i | ||||
\(549\) | −4.61205e7 | − | 1.17513e8i | −0.0118957 | − | 0.0303098i | ||||
\(550\) | −2.54272e8 | − | 3.39303e9i | −0.0651673 | − | 0.869597i | ||||
\(551\) | −5.07433e9 | − | 6.36301e9i | −1.29226 | − | 1.62044i | ||||
\(552\) | 1.33380e9 | + | 2.31021e9i | 0.337523 | + | 0.584607i | ||||
\(553\) | −1.33207e9 | + | 2.30721e9i | −0.334956 | + | 0.580161i | ||||
\(554\) | −1.64824e9 | + | 2.48432e8i | −0.411846 | + | 0.0620758i | ||||
\(555\) | 6.26844e7 | − | 3.01872e7i | 0.0155644 | − | 0.00749544i | ||||
\(556\) | 1.17764e9 | + | 1.09269e9i | 0.290571 | + | 0.269610i | ||||
\(557\) | −1.18446e9 | − | 5.18946e9i | −0.290421 | − | 1.27242i | −0.883942 | − | 0.467597i | \(-0.845120\pi\) |
0.593521 | − | 0.804818i | \(-0.297737\pi\) | |||||||
\(558\) | −2.59043e8 | −0.0631178 | ||||||||
\(559\) | 2.18648e8 | − | 8.00572e8i | 0.0529424 | − | 0.193847i | ||||
\(560\) | −1.27240e7 | −0.00306172 | ||||||||
\(561\) | −8.01526e8 | − | 3.51171e9i | −0.191667 | − | 0.839748i | ||||
\(562\) | 2.02922e9 | + | 1.88284e9i | 0.482228 | + | 0.447443i | ||||
\(563\) | 1.77606e9 | − | 8.55304e8i | 0.419447 | − | 0.201995i | −0.212241 | − | 0.977217i | \(-0.568076\pi\) |
0.631689 | + | 0.775222i | \(0.282362\pi\) | |||||||
\(564\) | −2.34414e8 | + | 3.53322e7i | −0.0550182 | + | 0.00829266i | ||||
\(565\) | −2.95176e7 | + | 5.11260e7i | −0.00688512 | + | 0.0119254i | ||||
\(566\) | −2.60450e9 | − | 4.51113e9i | −0.603765 | − | 1.04575i | ||||
\(567\) | 9.37452e8 | + | 1.17553e9i | 0.215977 | + | 0.270827i | ||||
\(568\) | 1.94402e6 | + | 2.59411e7i | 0.000445125 | + | 0.00593978i | ||||
\(569\) | −1.46186e9 | − | 3.72475e9i | −0.332668 | − | 0.847625i | −0.995134 | − | 0.0985328i | \(-0.968585\pi\) |
0.662465 | − | 0.749093i | \(-0.269510\pi\) | |||||||
\(570\) | −7.90769e7 | − | 3.80814e7i | −0.0178850 | − | 0.00861294i | ||||
\(571\) | −7.43574e9 | − | 2.29362e9i | −1.67147 | − | 0.515579i | −0.692816 | − | 0.721114i | \(-0.743630\pi\) |
−0.978650 | + | 0.205535i | \(0.934107\pi\) | |||||||
\(572\) | 2.06009e8 | − | 5.24904e8i | 0.0460258 | − | 0.117272i | ||||
\(573\) | 1.60964e9 | − | 1.49353e9i | 0.357428 | − | 0.331644i | ||||
\(574\) | 2.21257e9 | + | 1.50850e9i | 0.488321 | + | 0.332931i | ||||
\(575\) | −2.19379e9 | + | 2.75093e9i | −0.481236 | + | 0.603451i | ||||
\(576\) | 1.24904e9 | + | 1.88262e8i | 0.272331 | + | 0.0410472i | ||||
\(577\) | −1.44121e9 | + | 4.44554e8i | −0.312328 | + | 0.0963405i | −0.446957 | − | 0.894556i | \(-0.647492\pi\) |
0.134628 | + | 0.990896i | \(0.457016\pi\) | |||||||
\(578\) | 7.14557e7 | − | 9.53510e8i | 0.0153918 | − | 0.205389i | ||||
\(579\) | 3.31967e8 | − | 2.26331e8i | 0.0710756 | − | 0.0484585i | ||||
\(580\) | −1.47427e7 | + | 6.45919e7i | −0.00313746 | + | 0.0137461i | ||||
\(581\) | −1.77269e8 | + | 7.76667e8i | −0.0374987 | + | 0.164293i | ||||
\(582\) | 3.09075e9 | − | 2.10724e9i | 0.649881 | − | 0.443081i | ||||
\(583\) | 4.06325e8 | − | 5.42203e9i | 0.0849246 | − | 1.13324i | ||||
\(584\) | −2.67549e9 | + | 8.25280e8i | −0.555851 | + | 0.171457i | ||||
\(585\) | −6.56767e6 | − | 989917.i | −0.00135633 | − | 0.000204434i | ||||
\(586\) | 8.51045e8 | − | 1.06718e9i | 0.174707 | − | 0.219076i | ||||
\(587\) | −5.08390e8 | − | 3.46614e8i | −0.103744 | − | 0.0707315i | 0.510337 | − | 0.859975i | \(-0.329521\pi\) |
−0.614081 | + | 0.789243i | \(0.710473\pi\) | |||||||
\(588\) | 9.71071e8 | − | 9.01022e8i | 0.196984 | − | 0.182774i | ||||
\(589\) | 8.14286e8 | − | 2.07477e9i | 0.164200 | − | 0.418375i | ||||
\(590\) | 9.92007e7 | + | 3.05994e7i | 0.0198853 | + | 0.00613381i | ||||
\(591\) | −3.19322e9 | − | 1.53778e9i | −0.636316 | − | 0.306434i | ||||
\(592\) | 4.30275e8 | + | 1.09632e9i | 0.0852354 | + | 0.217176i | ||||
\(593\) | 9.74366e7 | + | 1.30020e9i | 0.0191880 | + | 0.256047i | 0.998546 | + | 0.0539117i | \(0.0171689\pi\) |
−0.979358 | + | 0.202135i | \(0.935212\pi\) | |||||||
\(594\) | 3.02431e9 | + | 3.79236e9i | 0.592070 | + | 0.742433i | ||||
\(595\) | −2.76524e7 | − | 4.78954e7i | −0.00538176 | − | 0.00932147i | ||||
\(596\) | −1.18472e9 | + | 2.05200e9i | −0.229221 | + | 0.397022i | ||||
\(597\) | 2.40285e9 | − | 3.62171e8i | 0.462185 | − | 0.0696632i | ||||
\(598\) | 5.14170e8 | − | 2.47611e8i | 0.0983225 | − | 0.0473496i | ||||
\(599\) | 7.35766e9 | + | 6.82691e9i | 1.39877 | + | 1.29787i | 0.903149 | + | 0.429327i | \(0.141249\pi\) |
0.495619 | + | 0.868540i | \(0.334941\pi\) | |||||||
\(600\) | −1.02874e9 | − | 4.50720e9i | −0.194436 | − | 0.851879i | ||||
\(601\) | −7.38909e9 | −1.38845 | −0.694225 | − | 0.719758i | \(-0.744253\pi\) | ||||
−0.694225 | + | 0.719758i | \(0.744253\pi\) | |||||||
\(602\) | −1.47345e9 | + | 1.69561e9i | −0.275263 | + | 0.316765i | ||||
\(603\) | −2.71455e8 | −0.0504183 | ||||||||
\(604\) | 1.65481e8 | + | 7.25019e8i | 0.0305576 | + | 0.133881i | ||||
\(605\) | 4.61531e7 | + | 4.28238e7i | 0.00847338 | + | 0.00786215i | ||||
\(606\) | 4.25631e9 | − | 2.04973e9i | 0.776925 | − | 0.374147i | ||||
\(607\) | −1.59842e9 | + | 2.40923e8i | −0.290088 | + | 0.0437238i | −0.292474 | − | 0.956273i | \(-0.594479\pi\) |
0.00238602 | + | 0.999997i | \(0.499241\pi\) | |||||||
\(608\) | −3.93223e9 | + | 6.81083e9i | −0.709540 | + | 1.22896i | ||||
\(609\) | −1.78589e9 | − | 3.09325e9i | −0.320401 | − | 0.554951i | ||||
\(610\) | 5.39552e6 | + | 6.76577e6i | 0.000962452 | + | 0.00120688i | ||||
\(611\) | 1.12891e7 | + | 1.50643e8i | 0.00200224 | + | 0.0267180i | ||||
\(612\) | 2.80171e8 | + | 7.13863e8i | 0.0494075 | + | 0.125888i | ||||
\(613\) | 7.04645e9 | + | 3.39339e9i | 1.23555 | + | 0.595007i | 0.933600 | − | 0.358318i | \(-0.116650\pi\) |
0.301945 | + | 0.953325i | \(0.402364\pi\) | |||||||
\(614\) | 2.14550e9 | + | 6.61798e8i | 0.374057 | + | 0.115381i | ||||
\(615\) | 5.25699e7 | − | 1.33946e8i | 0.00911326 | − | 0.0232202i | ||||
\(616\) | −3.33278e9 | + | 3.09237e9i | −0.574479 | + | 0.533038i | ||||
\(617\) | −1.97931e9 | − | 1.34947e9i | −0.339247 | − | 0.231295i | 0.381698 | − | 0.924287i | \(-0.375340\pi\) |
−0.720945 | + | 0.692992i | \(0.756292\pi\) | |||||||
\(618\) | 2.56905e9 | − | 3.22149e9i | 0.437838 | − | 0.549032i | ||||
\(619\) | −1.89135e9 | − | 2.85075e8i | −0.320520 | − | 0.0483106i | −0.0131880 | − | 0.999913i | \(-0.504198\pi\) |
−0.307332 | + | 0.951602i | \(0.599436\pi\) | |||||||
\(620\) | −1.73380e7 | + | 5.34806e6i | −0.00292165 | + | 0.000901208i | ||||
\(621\) | 3.74847e8 | − | 5.00199e9i | 0.0628107 | − | 0.838151i | ||||
\(622\) | 5.01961e9 | − | 3.42231e9i | 0.836380 | − | 0.570234i | ||||
\(623\) | 1.14999e9 | − | 5.03845e9i | 0.190541 | − | 0.834813i | ||||
\(624\) | −5.36027e7 | + | 2.34849e8i | −0.00883162 | + | 0.0386939i | ||||
\(625\) | 5.03600e9 | − | 3.43349e9i | 0.825098 | − | 0.562543i | ||||
\(626\) | 1.53678e8 | − | 2.05070e9i | 0.0250382 | − | 0.334111i | ||||
\(627\) | −9.62722e9 | + | 2.96960e9i | −1.55978 | + | 0.481130i | ||||
\(628\) | 6.05895e9 | + | 9.13240e8i | 0.976200 | + | 0.147138i | ||||
\(629\) | −3.19165e9 | + | 4.00221e9i | −0.511374 | + | 0.641243i | ||||
\(630\) | 1.48543e7 | + | 1.01275e7i | 0.00236679 | + | 0.00161365i | ||||
\(631\) | −2.25050e9 | + | 2.08816e9i | −0.356596 | + | 0.330872i | −0.838045 | − | 0.545602i | \(-0.816301\pi\) |
0.481449 | + | 0.876474i | \(0.340111\pi\) | |||||||
\(632\) | −2.75581e9 | + | 7.02170e9i | −0.434250 | + | 1.10645i | ||||
\(633\) | 7.50303e8 | + | 2.31438e8i | 0.117577 | + | 0.0362678i | ||||
\(634\) | −2.74334e9 | − | 1.32112e9i | −0.427531 | − | 0.205888i | ||||
\(635\) | 7.51304e6 | + | 1.91429e7i | 0.00116442 | + | 0.00296688i | ||||
\(636\) | −1.85344e8 | − | 2.47325e9i | −0.0285680 | − | 0.381213i | ||||
\(637\) | −5.26317e8 | − | 6.59981e8i | −0.0806789 | − | 0.101168i | ||||
\(638\) | −3.72150e9 | − | 6.44583e9i | −0.567343 | − | 0.982668i | ||||
\(639\) | 5.90401e6 | − | 1.02261e7i | 0.000895147 | − | 0.00155044i | ||||
\(640\) | 3.96421e7 | − | 5.97508e6i | 0.00597759 | − | 0.000900977i | ||||
\(641\) | −8.85930e8 | + | 4.26642e8i | −0.132861 | + | 0.0639823i | −0.499133 | − | 0.866525i | \(-0.666348\pi\) |
0.366272 | + | 0.930508i | \(0.380634\pi\) | |||||||
\(642\) | 2.68935e9 | + | 2.49535e9i | 0.401121 | + | 0.372185i | ||||
\(643\) | 1.02903e9 | + | 4.50849e9i | 0.152648 | + | 0.668794i | 0.992109 | + | 0.125375i | \(0.0400134\pi\) |
−0.839461 | + | 0.543419i | \(0.817129\pi\) | |||||||
\(644\) | 1.57837e9 | 0.232867 | ||||||||
\(645\) | 1.06445e8 | + | 5.69148e7i | 0.0156194 | + | 0.00835153i | ||||
\(646\) | 6.45769e9 | 0.942461 | ||||||||
\(647\) | −9.00784e7 | − | 3.94659e8i | −0.0130754 | − | 0.0572872i | 0.967969 | − | 0.251068i | \(-0.0807819\pi\) |
−0.981045 | + | 0.193781i | \(0.937925\pi\) | |||||||
\(648\) | 3.12068e9 | + | 2.89557e9i | 0.450544 | + | 0.418044i | ||||
\(649\) | 1.07364e10 | − | 5.17037e9i | 1.54171 | − | 0.742446i | ||||
\(650\) | −9.77988e8 | + | 1.47408e8i | −0.139681 | + | 0.0210535i | ||||
\(651\) | 4.89084e8 | − | 8.47119e8i | 0.0694785 | − | 0.120340i | ||||
\(652\) | 2.24963e9 | + | 3.89647e9i | 0.317866 | + | 0.550561i | ||||
\(653\) | −1.51907e9 | − | 1.90485e9i | −0.213492 | − | 0.267710i | 0.663542 | − | 0.748139i | \(-0.269052\pi\) |
−0.877034 | + | 0.480429i | \(0.840481\pi\) | |||||||
\(654\) | 4.18633e8 | + | 5.58627e9i | 0.0585210 | + | 0.780908i | ||||
\(655\) | 4.65860e7 | + | 1.18699e8i | 0.00647755 | + | 0.0165045i | ||||
\(656\) | 2.19455e9 | + | 1.05684e9i | 0.303517 | + | 0.146166i | ||||
\(657\) | 1.21444e9 | + | 3.74605e8i | 0.167069 | + | 0.0515341i | ||||
\(658\) | 1.49389e8 | − | 3.80638e8i | 0.0204423 | − | 0.0520860i | ||||
\(659\) | −2.95207e9 | + | 2.73912e9i | −0.401817 | + | 0.372831i | −0.855037 | − | 0.518567i | \(-0.826466\pi\) |
0.453220 | + | 0.891399i | \(0.350275\pi\) | |||||||
\(660\) | 6.77640e7 | + | 4.62007e7i | 0.00917477 | + | 0.00625525i | ||||
\(661\) | −6.80392e9 | + | 8.53185e9i | −0.916335 | + | 1.14905i | 0.0720991 | + | 0.997397i | \(0.477030\pi\) |
−0.988434 | + | 0.151650i | \(0.951541\pi\) | |||||||
\(662\) | −1.89830e8 | − | 2.86123e7i | −0.0254310 | − | 0.00383310i | ||||
\(663\) | −1.00050e9 | + | 3.08614e8i | −0.133328 | + | 0.0411262i | ||||
\(664\) | −1.68559e8 | + | 2.24927e9i | −0.0223442 | + | 0.298163i | ||||
\(665\) | −1.27808e8 | + | 8.71383e7i | −0.0168532 | + | 0.0114903i | ||||
\(666\) | 3.70289e8 | − | 1.62234e9i | 0.0485714 | − | 0.212805i | ||||
\(667\) | −1.71270e9 | + | 7.50384e9i | −0.223481 | + | 0.979136i | ||||
\(668\) | −1.84794e9 | + | 1.25991e9i | −0.239867 | + | 0.163539i | ||||
\(669\) | −1.62530e8 | + | 2.16881e9i | −0.0209866 | + | 0.280047i | ||||
\(670\) | 1.77816e7 | − | 5.48490e6i | 0.00228407 | − | 0.000704542i | ||||
\(671\) | 9.82253e8 | + | 1.48051e8i | 0.125515 | + | 0.0189183i | ||||
\(672\) | −2.15196e9 | + | 2.69847e9i | −0.273553 | + | 0.343024i | ||||
\(673\) | −4.74982e8 | − | 3.23837e8i | −0.0600654 | − | 0.0409519i | 0.532915 | − | 0.846169i | \(-0.321097\pi\) |
−0.592980 | + | 0.805217i | \(0.702049\pi\) | |||||||
\(674\) | −6.83146e9 | + | 6.33867e9i | −0.859417 | + | 0.797423i | ||||
\(675\) | −3.17594e9 | + | 8.09215e9i | −0.397474 | + | 1.01275i | ||||
\(676\) | 3.72219e9 | + | 1.14814e9i | 0.463431 | + | 0.142950i | ||||
\(677\) | −1.27108e10 | − | 6.12119e9i | −1.57439 | − | 0.758185i | −0.576140 | − | 0.817351i | \(-0.695442\pi\) |
−0.998248 | + | 0.0591656i | \(0.981156\pi\) | |||||||
\(678\) | −1.10524e9 | − | 2.81611e9i | −0.136193 | − | 0.347013i | ||||
\(679\) | −4.92684e8 | − | 6.57440e9i | −0.0603982 | − | 0.805958i | ||||
\(680\) | −9.76311e7 | − | 1.22425e8i | −0.0119071 | − | 0.0149311i | ||||
\(681\) | −2.15578e9 | − | 3.73392e9i | −0.261571 | − | 0.453054i | ||||
\(682\) | 1.01917e9 | − | 1.76526e9i | 0.123028 | − | 0.213090i | ||||
\(683\) | 1.07645e10 | − | 1.62248e9i | 1.29277 | − | 0.194853i | 0.533593 | − | 0.845742i | \(-0.320842\pi\) |
0.759173 | + | 0.650889i | \(0.225604\pi\) | |||||||
\(684\) | 1.93252e9 | − | 9.30653e8i | 0.230902 | − | 0.111197i | ||||
\(685\) | −1.96304e8 | − | 1.82143e8i | −0.0233352 | − | 0.0216519i | ||||
\(686\) | 1.29803e9 | + | 5.68704e9i | 0.153515 | + | 0.672592i | ||||
\(687\) | 1.26859e10 | 1.49270 | ||||||||
\(688\) | −1.09540e9 | + | 1.72483e9i | −0.128236 | + | 0.201923i | ||||
\(689\) | −1.58047e9 | −0.184085 | ||||||||
\(690\) | 1.84702e7 | + | 8.09234e7i | 0.00214043 | + | 0.00937783i | ||||
\(691\) | −7.20082e9 | − | 6.68139e9i | −0.830250 | − | 0.770359i | 0.145474 | − | 0.989362i | \(-0.453529\pi\) |
−0.975724 | + | 0.219003i | \(0.929720\pi\) | |||||||
\(692\) | −1.92569e9 | + | 9.27364e8i | −0.220910 | + | 0.106385i | ||||
\(693\) | 2.04064e9 | − | 3.07577e8i | 0.232916 | − | 0.0351064i | ||||
\(694\) | −5.33587e9 | + | 9.24200e9i | −0.605964 | + | 1.04956i | ||||
\(695\) | 7.44485e7 | + | 1.28949e8i | 0.00841219 | + | 0.0145703i | ||||
\(696\) | −6.30535e9 | − | 7.90666e9i | −0.708887 | − | 0.888916i | ||||
\(697\) | 7.91172e8 | + | 1.05575e10i | 0.0885026 | + | 1.18099i | ||||
\(698\) | 2.99702e9 | + | 7.63629e9i | 0.333577 | + | 0.849940i | ||||
\(699\) | −1.11499e9 | − | 5.36953e8i | −0.123482 | − | 0.0594656i | ||||
\(700\) | −2.61389e9 | − | 8.06277e8i | −0.288034 | − | 0.0888467i | ||||
\(701\) | 1.55215e9 | − | 3.95482e9i | 0.170185 | − | 0.433625i | −0.820180 | − | 0.572106i | \(-0.806127\pi\) |
0.990365 | + | 0.138481i | \(0.0442220\pi\) | |||||||
\(702\) | 1.03357e9 | − | 9.59011e8i | 0.112761 | − | 0.104627i | ||||
\(703\) | 1.18299e10 | + | 8.06552e9i | 1.28422 | + | 0.875565i | ||||
\(704\) | −6.19710e9 | + | 7.77092e9i | −0.669398 | + | 0.839398i | ||||
\(705\) | −2.17265e7 | − | 3.27475e6i | −0.00233522 | − | 0.000351978i | ||||
\(706\) | −3.36018e9 | + | 1.03648e9i | −0.359373 | + | 0.110852i | ||||
\(707\) | 6.22204e8 | − | 8.30273e9i | 0.0662163 | − | 0.883595i | ||||
\(708\) | 4.49117e9 | − | 3.06203e9i | 0.475601 | − | 0.324260i | ||||
\(709\) | −2.80405e9 | + | 1.22853e10i | −0.295477 | + | 1.29457i | 0.581306 | + | 0.813685i | \(0.302542\pi\) |
−0.876784 | + | 0.480885i | \(0.840315\pi\) | |||||||
\(710\) | −180118. | + | 789149.i | −1.88866e−5 | + | 8.27475e-5i | ||||
\(711\) | 2.82898e9 | − | 1.92876e9i | 0.295179 | − | 0.201250i | ||||
\(712\) | 1.09349e9 | − | 1.45916e10i | 0.113537 | − | 1.51504i | ||||
\(713\) | −2.01421e9 | + | 6.21300e8i | −0.208109 | + | 0.0641931i | ||||
\(714\) | 2.80243e9 | + | 4.22398e8i | 0.288131 | + | 0.0434288i | ||||
\(715\) | 3.25855e7 | − | 4.08610e7i | 0.00333391 | − | 0.00418059i | ||||
\(716\) | 3.49615e9 | + | 2.38363e9i | 0.355954 | + | 0.242686i | ||||
\(717\) | −5.39773e9 | + | 5.00836e9i | −0.546882 | + | 0.507433i | ||||
\(718\) | 4.09395e9 | − | 1.04312e10i | 0.412769 | − | 1.05172i | ||||
\(719\) | 8.28677e9 | + | 2.55613e9i | 0.831447 | + | 0.256467i | 0.681122 | − | 0.732169i | \(-0.261492\pi\) |
0.150324 | + | 0.988637i | \(0.451968\pi\) | |||||||
\(720\) | 1.47333e7 | + | 7.09521e6i | 0.00147108 | + | 0.000708437i | ||||
\(721\) | −2.65311e9 | − | 6.76003e9i | −0.263623 | − | 0.671699i | ||||
\(722\) | −8.18273e8 | − | 1.09191e10i | −0.0809129 | − | 1.07971i | ||||
\(723\) | 1.85116e9 | + | 2.32128e9i | 0.182163 | + | 0.228425i | ||||
\(724\) | −2.19022e9 | − | 3.79358e9i | −0.214488 | − | 0.371504i | ||||
\(725\) | 6.66953e9 | − | 1.15520e10i | 0.649998 | − | 1.12583i | ||||
\(726\) | −3.19034e9 | + | 4.80866e8i | −0.309427 | + | 0.0466386i | ||||
\(727\) | −9.05214e9 | + | 4.35928e9i | −0.873737 | + | 0.420769i | −0.816333 | − | 0.577582i | \(-0.803997\pi\) |
−0.0574038 | + | 0.998351i | \(0.518282\pi\) | |||||||
\(728\) | 9.68756e8 | + | 8.98874e8i | 0.0930582 | + | 0.0863454i | ||||
\(729\) | −2.52194e9 | − | 1.10493e10i | −0.241095 | − | 1.05631i | ||||
\(730\) | −8.71206e7 | −0.00828878 | ||||||||
\(731\) | −8.87312e9 | − | 3.74782e8i | −0.840167 | − | 0.0354869i | ||||
\(732\) | 4.53114e8 | 0.0426991 | ||||||||
\(733\) | −3.12663e9 | − | 1.36987e10i | −0.293233 | − | 1.28474i | −0.879997 | − | 0.474979i | \(-0.842456\pi\) |
0.586764 | − | 0.809758i | \(-0.300402\pi\) | |||||||
\(734\) | −9.31430e9 | − | 8.64240e9i | −0.869388 | − | 0.806674i | ||||
\(735\) | 1.10620e8 | − | 5.32716e7i | 0.0102761 | − | 0.00494869i | ||||
\(736\) | 7.35450e9 | − | 1.10851e9i | 0.679956 | − | 0.102487i | ||||
\(737\) | 1.06801e9 | − | 1.84984e9i | 0.0982739 | − | 0.170215i | ||||
\(738\) | −1.72079e9 | − | 2.98050e9i | −0.157591 | − | 0.272956i | ||||
\(739\) | 1.14338e10 | + | 1.43375e10i | 1.04216 | + | 1.30683i | 0.950395 | + | 0.311045i | \(0.100679\pi\) |
0.0917637 | + | 0.995781i | \(0.470750\pi\) | |||||||
\(740\) | −8.71021e6 | − | 1.16230e8i | −0.000790164 | − | 0.0105440i | ||||
\(741\) | 1.06990e9 | + | 2.72606e9i | 0.0966006 | + | 0.246134i | ||||
\(742\) | 3.85437e9 | + | 1.85616e9i | 0.346369 | + | 0.166803i | ||||
\(743\) | −9.31763e9 | − | 2.87411e9i | −0.833383 | − | 0.257064i | −0.151437 | − | 0.988467i | \(-0.548390\pi\) |
−0.681946 | + | 0.731402i | \(0.738866\pi\) | |||||||
\(744\) | 1.01183e9 | − | 2.57810e9i | 0.0900746 | − | 0.229506i | ||||
\(745\) | −1.60986e8 | + | 1.49373e8i | −0.0142640 | + | 0.0132350i | ||||
\(746\) | −5.68934e9 | − | 3.87893e9i | −0.501737 | − | 0.342078i | ||||
\(747\) | 6.38350e8 | − | 8.00466e8i | 0.0560321 | − | 0.0702621i | ||||
\(748\) | −5.96695e9 | − | 8.99373e8i | −0.521311 | − | 0.0785749i | ||||
\(749\) | 6.17860e9 | − | 1.90585e9i | 0.537284 | − | 0.165730i | ||||
\(750\) | 2.15051e7 | − | 2.86966e8i | 0.00186135 | − | 0.0248379i | ||||
\(751\) | 1.24059e10 | − | 8.45823e9i | 1.06878 | − | 0.728685i | 0.104760 | − | 0.994498i | \(-0.466593\pi\) |
0.964025 | + | 0.265813i | \(0.0856402\pi\) | |||||||
\(752\) | 8.27631e7 | − | 3.62609e8i | 0.00709700 | − | 0.0310940i | ||||
\(753\) | −9.23121e8 | + | 4.04446e9i | −0.0787909 | + | 0.345205i | ||||
\(754\) | −1.78757e9 | + | 1.21874e9i | −0.151867 | + | 0.103541i | ||||
\(755\) | −5.15085e6 | + | 6.87334e7i | −0.000435577 | + | 0.00581237i | ||||
\(756\) | 3.72632e9 | − | 1.14942e9i | 0.313656 | − | 0.0967500i | ||||
\(757\) | −2.28156e10 | − | 3.43890e9i | −1.91160 | − | 0.288127i | −0.917596 | − | 0.397514i | \(-0.869873\pi\) |
−0.993999 | + | 0.109388i | \(0.965111\pi\) | |||||||
\(758\) | −3.56004e9 | + | 4.46415e9i | −0.296902 | + | 0.372303i | ||||
\(759\) | 7.87235e9 | + | 5.36728e9i | 0.653519 | + | 0.445562i | ||||
\(760\) | −3.21058e8 | + | 2.97899e8i | −0.0265299 | + | 0.0246162i | ||||
\(761\) | 7.02999e8 | − | 1.79121e9i | 0.0578240 | − | 0.147333i | −0.899042 | − | 0.437862i | \(-0.855736\pi\) |
0.956866 | + | 0.290529i | \(0.0938312\pi\) | |||||||
\(762\) | −1.00700e9 | − | 3.10619e8i | −0.0824494 | − | 0.0254323i | ||||
\(763\) | 8.89532e9 | + | 4.28376e9i | 0.724979 | + | 0.349132i | ||||
\(764\) | −1.34393e9 | − | 3.42428e9i | −0.109031 | − | 0.277806i | ||||
\(765\) | 5.31161e6 | + | 7.08785e7i | 0.000428955 | + | 0.00572400i | ||||
\(766\) | −1.74462e9 | − | 2.18769e9i | −0.140249 | − | 0.175867i | ||||
\(767\) | −1.73191e9 | − | 2.99976e9i | −0.138593 | − | 0.240051i | ||||
\(768\) | −5.51272e9 | + | 9.54831e9i | −0.439138 | + | 0.760610i | ||||
\(769\) | 2.04480e10 | − | 3.08204e9i | 1.62147 | − | 0.244397i | 0.725404 | − | 0.688324i | \(-0.241653\pi\) |
0.896063 | + | 0.443927i | \(0.146415\pi\) | |||||||
\(770\) | −1.27457e8 | + | 6.13799e7i | −0.0100611 | + | 0.00484516i | ||||
\(771\) | 5.26046e9 | + | 4.88099e9i | 0.413365 | + | 0.383546i | ||||
\(772\) | −1.49777e8 | − | 6.56214e8i | −0.0117161 | − | 0.0513316i | ||||
\(773\) | 1.71477e9 | 0.133529 | 0.0667647 | − | 0.997769i | \(-0.478732\pi\) | ||||
0.0667647 | + | 0.997769i | \(0.478732\pi\) | |||||||
\(774\) | 2.65164e9 | − | 1.14174e9i | 0.205552 | − | 0.0885062i | ||||
\(775\) | 3.65304e9 | 0.281902 | ||||||||
\(776\) | −4.15373e9 | − | 1.81987e10i | −0.319097 | − | 1.39806i | ||||
\(777\) | 4.60624e9 | + | 4.27397e9i | 0.352268 | + | 0.326857i | ||||
\(778\) | −4.51960e9 | + | 2.17653e9i | −0.344090 | + | 0.165705i | ||||
\(779\) | 2.92811e10 | − | 4.41342e9i | 2.21925 | − | 0.334499i | ||||
\(780\) | 1.19199e7 | − | 2.06458e7i | 0.000899374 | − | 0.00155776i | ||||
\(781\) | 4.64572e7 | + | 8.04663e7i | 0.00348959 | + | 0.00604415i | ||||
\(782\) | −3.80775e9 | − | 4.77476e9i | −0.284737 | − | 0.357049i | ||||
\(783\) | 1.42106e9 | + | 1.89628e10i | 0.105791 | + | 1.41168i | ||||
\(784\) | 7.59310e8 | + | 1.93469e9i | 0.0562747 | + | 0.143386i | ||||
\(785\) | 5.11672e8 | + | 2.46408e8i | 0.0377527 | + | 0.0181807i | ||||
\(786\) | −6.24409e9 | − | 1.92605e9i | −0.458660 | − | 0.141478i | ||||
\(787\) | 4.06318e9 | − | 1.03528e10i | 0.297136 | − | 0.757089i | −0.701862 | − | 0.712313i | \(-0.747647\pi\) |
0.998997 | − | 0.0447756i | \(-0.0142573\pi\) | |||||||
\(788\) | −4.35249e9 | + | 4.03852e9i | −0.316881 | + | 0.294022i | ||||
\(789\) | −1.54341e10 | − | 1.05228e10i | −1.11869 | − | 0.762712i | ||||
\(790\) | −1.46340e8 | + | 1.83504e8i | −0.0105601 | + | 0.0132419i | ||||
\(791\) | −5.27224e9 | − | 7.94662e8i | −0.378772 | − | 0.0570906i | ||||
\(792\) | 5.58345e9 | − | 1.72227e9i | 0.399360 | − | 0.123186i | ||||
\(793\) | 2.15777e7 | − | 2.87934e8i | 0.00153656 | − | 0.0205039i | ||||
\(794\) | 1.74189e8 | − | 1.18760e8i | 0.0123495 | − | 0.00841973i | ||||
\(795\) | 5.11518e7 | − | 2.24111e8i | 0.00361057 | − | 0.0158190i | ||||
\(796\) | 9.05855e8 | − | 3.96881e9i | 0.0636595 | − | 0.278910i | ||||
\(797\) | −1.42361e10 | + | 9.70603e9i | −0.996065 | + | 0.679106i | −0.947514 | − | 0.319715i | \(-0.896413\pi\) |
−0.0485512 | + | 0.998821i | \(0.515460\pi\) | |||||||
\(798\) | 5.92377e8 | − | 7.90472e9i | 0.0412656 | − | 0.550651i | ||||
\(799\) | 1.54479e9 | − | 4.76504e8i | 0.107141 | − | 0.0330486i | ||||
\(800\) | −1.27458e10 | − | 1.92112e9i | −0.880141 | − | 0.132660i | ||||
\(801\) | −4.14116e9 | + | 5.19285e9i | −0.284713 | + | 0.357019i | ||||
\(802\) | 1.47184e10 | + | 1.00349e10i | 1.00751 | + | 0.686912i | ||||
\(803\) | −7.33082e9 | + | 6.80201e9i | −0.499630 | + | 0.463588i | ||||
\(804\) | 3.55966e8 | − | 9.06987e8i | 0.0241553 | − | 0.0615467i | ||||
\(805\) | 1.39791e8 | + | 4.31198e7i | 0.00944482 | + | 0.00291334i | ||||
\(806\) | −5.33821e8 | − | 2.57075e8i | −0.0359106 | − | 0.0172936i | ||||
\(807\) | 6.83441e9 | + | 1.74138e10i | 0.457766 | + | 1.16637i | ||||
\(808\) | −1.76168e9 | − | 2.35080e10i | −0.117487 | − | 1.56775i | ||||
\(809\) | 1.06713e10 | + | 1.33814e10i | 0.708596 | + | 0.888552i | 0.997633 | − | 0.0687663i | \(-0.0219063\pi\) |
−0.289036 | + | 0.957318i | \(0.593335\pi\) | |||||||
\(810\) | 6.62317e7 | + | 1.14717e8i | 0.00437894 | + | 0.00758454i | ||||
\(811\) | −5.25666e9 | + | 9.10481e9i | −0.346049 | + | 0.599374i | −0.985544 | − | 0.169421i | \(-0.945810\pi\) |
0.639495 | + | 0.768795i | \(0.279143\pi\) | |||||||
\(812\) | −5.91684e9 | + | 8.91820e8i | −0.387832 | + | 0.0584563i | ||||
\(813\) | 7.13538e7 | − | 3.43622e7i | 0.00465694 | − | 0.00224266i | ||||
\(814\) | 9.59866e9 | + | 8.90625e9i | 0.623771 | + | 0.578775i | ||||
\(815\) | 9.27938e7 | + | 4.06556e8i | 0.00600437 | + | 0.0263068i | ||||
\(816\) | 2.57785e9 | 0.166089 | ||||||||
\(817\) | 8.09323e8 | + | 2.48269e10i | 0.0519212 | + | 1.59274i | ||||
\(818\) | −5.39006e9 | −0.344316 | ||||||||
\(819\) | −1.33482e8 | − | 5.84823e8i | −0.00849042 | − | 0.0371989i | ||||
\(820\) | −1.76708e8 | − | 1.63961e8i | −0.0111920 | − | 0.0103847i | ||||
\(821\) | 6.37000e9 | − | 3.06763e9i | 0.401734 | − | 0.193465i | −0.222097 | − | 0.975025i | \(-0.571290\pi\) |
0.623830 | + | 0.781560i | \(0.285576\pi\) | |||||||
\(822\) | 1.35695e10 | − | 2.04528e9i | 0.852145 | − | 0.128440i | ||||
\(823\) | 1.34437e10 | − | 2.32852e10i | 0.840660 | − | 1.45607i | −0.0486783 | − | 0.998815i | \(-0.515501\pi\) |
0.889338 | − | 0.457251i | \(-0.151166\pi\) | |||||||
\(824\) | −1.02807e10 | − | 1.78067e10i | −0.640144 | − | 1.10876i | ||||
\(825\) | −1.02954e10 | − | 1.29100e10i | −0.638342 | − | 0.800456i | ||||
\(826\) | 7.00663e8 | + | 9.34969e9i | 0.0432592 | + | 0.577254i | ||||
\(827\) | 4.76039e9 | + | 1.21293e10i | 0.292667 | + | 0.745702i | 0.999274 | + | 0.0380965i | \(0.0121294\pi\) |
−0.706608 | + | 0.707606i | \(0.749775\pi\) | |||||||
\(828\) | −1.82762e9 | − | 8.80135e8i | −0.111887 | − | 0.0538820i | ||||
\(829\) | −2.10079e10 | − | 6.48009e9i | −1.28069 | − | 0.395039i | −0.421559 | − | 0.906801i | \(-0.638517\pi\) |
−0.859127 | + | 0.511762i | \(0.828993\pi\) | |||||||
\(830\) | −2.56411e7 | + | 6.53325e7i | −0.00155655 | + | 0.00396603i | ||||
\(831\) | −5.92982e9 | + | 5.50207e9i | −0.358458 | + | 0.332600i | ||||
\(832\) | 2.38711e9 | + | 1.62751e9i | 0.143695 | + | 0.0979695i | ||||
\(833\) | −5.63234e9 | + | 7.06274e9i | −0.337623 | + | 0.423365i | ||||
\(834\) | −7.54495e9 | − | 1.13722e9i | −0.450376 | − | 0.0678833i | ||||
\(835\) | −1.98086e8 | + | 6.11014e7i | −0.0117747 | + | 0.00363202i | ||||
\(836\) | −1.26129e9 | + | 1.68308e10i | −0.0746611 | + | 0.996283i | ||||
\(837\) | −4.30282e9 | + | 2.93361e9i | −0.253638 | + | 0.172927i | ||||
\(838\) | −1.80460e9 | + | 7.90645e9i | −0.105932 | + | 0.464117i | ||||
\(839\) | −5.74890e9 | + | 2.51876e10i | −0.336061 | + | 1.47238i | 0.471117 | + | 0.882071i | \(0.343851\pi\) |
−0.807178 | + | 0.590308i | \(0.799006\pi\) | |||||||
\(840\) | −1.58814e8 | + | 1.08278e8i | −0.00924511 | + | 0.00630321i | ||||
\(841\) | 8.91463e8 | − | 1.18958e10i | 0.0516794 | − | 0.689614i | ||||
\(842\) | −1.37624e10 | + | 4.24515e9i | −0.794516 | + | 0.245076i | ||||
\(843\) | 1.32839e10 | + | 2.00223e9i | 0.763713 | + | 0.115111i | ||||
\(844\) | 8.20135e8 | − | 1.02842e9i | 0.0469556 | − | 0.0588804i | ||||
\(845\) | 2.98296e8 | + | 2.03375e8i | 0.0170078 | + | 0.0115957i | ||||
\(846\) | −3.85233e8 | + | 3.57444e8i | −0.0218739 | + | 0.0202960i | ||||
\(847\) | −2.07743e9 | + | 5.29321e9i | −0.117472 | + | 0.299314i | ||||
\(848\) | 3.71836e9 | + | 1.14696e9i | 0.209395 | + | 0.0645898i | ||||
\(849\) | −2.27758e10 | − | 1.09683e10i | −1.27731 | − | 0.615122i | ||||
\(850\) | 3.86680e9 | + | 9.85244e9i | 0.215966 | + | 0.550272i | ||||
\(851\) | −1.01189e9 | − | 1.35028e10i | −0.0562834 | − | 0.751050i | ||||
\(852\) | 2.64252e7 | + | 3.31362e7i | 0.00146379 | + | 0.00183554i | ||||
\(853\) | −1.35935e10 | − | 2.35446e10i | −0.749909 | − | 1.29888i | −0.947866 | − | 0.318670i | \(-0.896764\pi\) |
0.197957 | − | 0.980211i | \(-0.436569\pi\) | |||||||
\(854\) | −3.90784e8 | + | 6.76858e8i | −0.0214701 | + | 0.0371873i | ||||
\(855\) | 1.96582e8 | − | 2.96299e7i | 0.0107563 | − | 0.00162125i | ||||
\(856\) | 1.64942e10 | − | 7.94320e9i | 0.898822 | − | 0.432850i | ||||
\(857\) | 1.64286e10 | + | 1.52435e10i | 0.891593 | + | 0.827277i | 0.985739 | − | 0.168281i | \(-0.0538216\pi\) |
−0.0941462 | + | 0.995558i | \(0.530012\pi\) | |||||||
\(858\) | 5.95957e8 | + | 2.61106e9i | 0.0322114 | + | 0.141127i | ||||
\(859\) | −2.21375e10 | −1.19166 | −0.595829 | − | 0.803111i | \(-0.703176\pi\) | ||||
−0.595829 | + | 0.803111i | \(0.703176\pi\) | |||||||
\(860\) | 1.53905e8 | − | 1.31162e8i | 0.00825104 | − | 0.00703175i | ||||
\(861\) | 1.29957e10 | 0.693889 | ||||||||
\(862\) | −3.08473e8 | − | 1.35151e9i | −0.0164037 | − | 0.0718693i | ||||
\(863\) | 5.24436e9 | + | 4.86606e9i | 0.277750 | + | 0.257715i | 0.806731 | − | 0.590919i | \(-0.201235\pi\) |
−0.528980 | + | 0.848634i | \(0.677425\pi\) | |||||||
\(864\) | 1.65557e10 | − | 7.97281e9i | 0.873273 | − | 0.420546i | ||||
\(865\) | −1.95887e8 | + | 2.95252e7i | −0.0102908 | + | 0.00155109i | ||||
\(866\) | −4.34654e9 | + | 7.52843e9i | −0.227421 | + | 0.393905i | ||||
\(867\) | −2.32018e9 | − | 4.01866e9i | −0.120908 | − | 0.209418i | ||||
\(868\) | −1.02171e9 | − | 1.28118e9i | −0.0530283 | − | 0.0664953i | ||||
\(869\) | 2.01338e9 | + | 2.68667e10i | 0.104077 | + | 1.38882i | ||||
\(870\) | −1.14963e8 | − | 2.92922e8i | −0.00591891 | − | 0.0150811i | ||||
\(871\) | −5.59400e8 | − | 2.69393e8i | −0.0286853 | − | 0.0138141i | ||||
\(872\) | 2.67123e10 | + | 8.23965e9i | 1.36428 | + | 0.420824i | ||||
\(873\) | −3.09555e9 | + | 7.88734e9i | −0.157467 | + | 0.401218i | ||||
\(874\) | −1.25217e10 | + | 1.16185e10i | −0.634416 | + | 0.588652i | ||||
\(875\) | −4.19049e8 | − | 2.85703e8i | −0.0211464 | − | 0.0144174i | ||||
\(876\) | −2.84415e9 | + | 3.56646e9i | −0.142951 | + | 0.179255i | ||||
\(877\) | −1.60152e10 | − | 2.41390e9i | −0.801740 | − | 0.120843i | −0.264625 | − | 0.964352i | \(-0.585248\pi\) |
−0.537116 | + | 0.843509i | \(0.680486\pi\) | |||||||
\(878\) | −1.01305e10 | + | 3.12483e9i | −0.505125 | + | 0.155810i | ||||
\(879\) | 4.95026e8 | − | 6.60567e9i | 0.0245848 | − | 0.328062i | ||||
\(880\) | −1.06317e8 | + | 7.24858e7i | −0.00525913 | + | 0.00358561i | ||||
\(881\) | 2.11419e9 | − | 9.26288e9i | 0.104167 | − | 0.456384i | −0.895763 | − | 0.444532i | \(-0.853370\pi\) |
0.999930 | − | 0.0118522i | \(-0.00377275\pi\) | |||||||
\(882\) | 6.53452e8 | − | 2.86296e9i | 0.0320682 | − | 0.140500i | ||||
\(883\) | −2.04610e10 | + | 1.39501e10i | −1.00015 | + | 0.681890i | −0.948501 | − | 0.316775i | \(-0.897400\pi\) |
−0.0516489 | + | 0.998665i | \(0.516448\pi\) | |||||||
\(884\) | −1.31079e8 | + | 1.74913e9i | −0.00638191 | + | 0.0851607i | ||||
\(885\) | 4.81420e8 | − | 1.48498e8i | 0.0233466 | − | 0.00720146i | ||||
\(886\) | 1.88628e10 | + | 2.84310e9i | 0.911144 | + | 0.137333i | ||||
\(887\) | 1.49041e10 | − | 1.86891e10i | 0.717087 | − | 0.899199i | −0.281082 | − | 0.959684i | \(-0.590693\pi\) |
0.998169 | + | 0.0604849i | \(0.0192647\pi\) | |||||||
\(888\) | 1.46998e10 | + | 1.00222e10i | 0.704478 | + | 0.480305i | ||||
\(889\) | −1.36149e9 | + | 1.26328e9i | −0.0649918 | + | 0.0603035i | ||||
\(890\) | 1.66341e8 | − | 4.23830e8i | 0.00790924 | − | 0.0201524i | ||||
\(891\) | 1.45297e10 | + | 4.48182e9i | 0.688153 | + | 0.212267i | ||||
\(892\) | 3.28270e9 | + | 1.58087e9i | 0.154865 | + | 0.0745792i | ||||
\(893\) | −1.65194e9 | − | 4.20907e9i | −0.0776272 | − | 0.197791i | ||||
\(894\) | −8.41002e8 | − | 1.12224e10i | −0.0393655 | − | 0.525296i | ||||
\(895\) | 2.44523e8 | + | 3.06623e8i | 0.0114009 | + | 0.0142963i | ||||
\(896\) | 1.81037e9 | + | 3.13565e9i | 0.0840792 | + | 0.145629i | ||||
\(897\) | 1.38477e9 | − | 2.39849e9i | 0.0640624 | − | 0.110959i | ||||
\(898\) | 2.08415e10 | − | 3.14134e9i | 0.960419 | − | 0.144760i | ||||
\(899\) | 7.19961e9 | − | 3.46715e9i | 0.330484 | − | 0.159153i | ||||
\(900\) | 2.57706e9 | + | 2.39117e9i | 0.117836 | + | 0.109335i | ||||
\(901\) | 3.76355e9 | + | 1.64892e10i | 0.171420 | + | 0.751040i | ||||
\(902\) | 2.70810e10 | 1.22869 | ||||||||
\(903\) | −1.27271e9 | + | 1.08270e10i | −0.0575205 | + | 0.489330i | ||||
\(904\) | −1.50962e10 | −0.679640 | ||||||||
\(905\) | −9.03432e7 | − | 3.95820e8i | −0.00405159 | − | 0.0177512i | ||||
\(906\) | −2.58921e9 | − | 2.40244e9i | −0.115669 | − | 0.107326i | ||||
\(907\) | 1.83355e10 | − | 8.82993e9i | 0.815959 | − | 0.392945i | 0.0211283 | − | 0.999777i | \(-0.493274\pi\) |
0.794830 | + | 0.606832i | \(0.207560\pi\) | |||||||
\(908\) | −7.14233e9 | + | 1.07653e9i | −0.316621 | + | 0.0477229i | ||||
\(909\) | −5.35026e9 | + | 9.26692e9i | −0.236266 | + | 0.409225i | ||||
\(910\) | 2.05604e7 | + | 3.56116e7i | 0.000904453 | + | 0.00156656i | ||||
\(911\) | −2.08613e10 | − | 2.61592e10i | −0.914168 | − | 1.14633i | −0.988819 | − | 0.149121i | \(-0.952356\pi\) |
0.0746509 | − | 0.997210i | \(-0.476216\pi\) | |||||||
\(912\) | −5.38819e8 | − | 7.19004e9i | −0.0235213 | − | 0.313870i | ||||
\(913\) | 2.94330e9 | + | 7.49940e9i | 0.127993 | + | 0.326121i | ||||
\(914\) | −3.74371e9 | − | 1.80288e9i | −0.162178 | − | 0.0781006i | ||||
\(915\) | 4.01308e7 | + | 1.23787e7i | 0.00173182 | + | 0.000534197i | ||||
\(916\) | 7.76430e9 | − | 1.97831e10i | 0.333786 | − | 0.850473i | ||||
\(917\) | −8.44217e9 | + | 7.83319e9i | −0.361544 | + | 0.335464i | ||||
\(918\) | −1.24667e10 | − | 8.49965e9i | −0.531866 | − | 0.362620i | ||||
\(919\) | 1.21698e10 | − | 1.52605e10i | 0.517225 | − | 0.648580i | −0.452792 | − | 0.891616i | \(-0.649572\pi\) |
0.970017 | + | 0.243036i | \(0.0781434\pi\) | |||||||
\(920\) | 4.09574e8 | + | 6.17334e7i | 0.0173410 | + | 0.00261374i | ||||
\(921\) | 1.04121e10 | − | 3.21170e9i | 0.439166 | − | 0.135465i | ||||
\(922\) | 1.55917e9 | − | 2.08057e10i | 0.0655142 | − | 0.874227i | ||||
\(923\) | 2.23150e7 | − | 1.52141e7i | 0.000934095 | − | 0.000636855i | ||||
\(924\) | −1.64826e9 | + | 7.22151e9i | −0.0687345 | + | 0.301145i | ||||
\(925\) | −5.22184e9 | + | 2.28784e10i | −0.216934 | + | 0.950450i | ||||
\(926\) | 1.48543e10 | − | 1.01275e10i | 0.614772 | − | 0.419144i | ||||
\(927\) | −6.97462e8 | + | 9.30698e9i | −0.0287569 | + | 0.383734i | ||||
\(928\) | −2.69435e10 | + | 8.31097e9i | −1.10672 | + | 0.341377i | ||||
\(929\) | −2.97398e10 | − | 4.48256e9i | −1.21698 | − | 0.183430i | −0.491009 | − | 0.871155i | \(-0.663372\pi\) |
−0.725972 | + | 0.687724i | \(0.758610\pi\) | |||||||
\(930\) | 5.37303e7 | − | 6.73757e7i | 0.00219043 | − | 0.00274671i | ||||
\(931\) | 2.08764e10 | + | 1.42333e10i | 0.847875 | + | 0.578072i | ||||
\(932\) | −1.51978e9 | + | 1.41015e9i | −0.0614929 | + | 0.0570571i | ||||
\(933\) | 1.07714e10 | − | 2.74451e10i | 0.434197 | − | 1.10632i | ||||
\(934\) | −1.04461e10 | − | 3.22219e9i | −0.419507 | − | 0.129401i | ||||
\(935\) | −5.03903e8 | − | 2.42667e8i | −0.0201607 | − | 0.00970889i | ||||
\(936\) | −6.20505e8 | − | 1.58102e9i | −0.0247332 | − | 0.0630191i | ||||
\(937\) | −3.67266e9 | − | 4.90083e10i | −0.145845 | − | 1.94617i | −0.290915 | − | 0.956749i | \(-0.593960\pi\) |
0.145070 | − | 0.989421i | \(-0.453659\pi\) | |||||||
\(938\) | 1.04785e9 | + | 1.31396e9i | 0.0414562 | + | 0.0519844i | ||||
\(939\) | −4.98996e9 | − | 8.64286e9i | −0.196683 | − | 0.340665i | ||||
\(940\) | −1.84044e7 | + | 3.18774e7i | −0.000722727 | + | 0.00125180i | ||||
\(941\) | 3.53994e10 | − | 5.33560e9i | 1.38494 | − | 0.208747i | 0.586078 | − | 0.810255i | \(-0.300671\pi\) |
0.798867 | + | 0.601508i | \(0.205433\pi\) | |||||||
\(942\) | −2.62205e10 | + | 1.26271e10i | −1.02203 | + | 0.492182i | ||||
\(943\) | −2.05287e10 | − | 1.90479e10i | −0.797207 | − | 0.739700i | ||||
\(944\) | 1.89771e9 | + | 8.31440e9i | 0.0734222 | + | 0.321684i | ||||
\(945\) | 3.61429e8 | 0.0139319 | ||||||||
\(946\) | −2.65213e9 | + | 2.25618e10i | −0.101853 | + | 0.866471i | ||||
\(947\) | 3.38011e10 | 1.29332 | 0.646660 | − | 0.762779i | \(-0.276165\pi\) | ||||
0.646660 | + | 0.762779i | \(0.276165\pi\) | |||||||
\(948\) | 2.73468e9 | + | 1.19814e10i | 0.104250 | + | 0.456750i | ||||
\(949\) | 2.13089e9 | + | 1.97717e9i | 0.0809336 | + | 0.0750954i | ||||
\(950\) | 2.66719e10 | − | 1.28445e10i | 1.00930 | − | 0.486054i | ||||
\(951\) | −1.46117e10 | + | 2.20237e9i | −0.550897 | + | 0.0830343i | ||||
\(952\) | 7.07117e9 | − | 1.22476e10i | 0.265621 | − | 0.460068i | ||||
\(953\) | −1.84633e10 | − | 3.19793e10i | −0.691008 | − | 1.19686i | −0.971508 | − | 0.237007i | \(-0.923834\pi\) |
0.280500 | − | 0.959854i | \(-0.409500\pi\) | |||||||
\(954\) | −3.42799e9 | − | 4.29857e9i | −0.127826 | − | 0.160289i | ||||
\(955\) | −2.54789e7 | − | 3.39992e8i | −0.000946605 | − | 0.0126316i | ||||
\(956\) | 4.50670e9 | + | 1.14829e10i | 0.166823 | + | 0.425058i | ||||
\(957\) | −3.25438e10 | − | 1.56722e10i | −1.20026 | − | 0.578015i | ||||
\(958\) | −2.48045e10 | − | 7.65117e9i | −0.911488 | − | 0.281157i | ||||
\(959\) | 8.83598e9 | − | 2.25137e10i | 0.323511 | − | 0.824294i | ||||
\(960\) | −3.08039e8 | + | 2.85819e8i | −0.0112372 | + | 0.0104266i | ||||
\(961\) | −2.09238e10 | − | 1.42656e10i | −0.760518 | − | 0.518512i | ||||
\(962\) | 2.37308e9 | − | 2.97575e9i | 0.0859410 | − | 0.107767i | ||||
\(963\) | −8.21705e9 | − | 1.23852e9i | −0.296500 | − | 0.0446901i | ||||
\(964\) | 4.75293e9 | − | 1.46608e9i | 0.170880 | − | 0.0527095i | ||||
\(965\) | 4.66203e6 | − | 6.22105e7i | 0.000167005 | − | 0.00222853i | ||||
\(966\) | −6.19398e9 | + | 4.22298e9i | −0.221080 | + | 0.150730i | ||||
\(967\) | −6.32307e9 | + | 2.77032e10i | −0.224872 | + | 0.985229i | 0.728882 | + | 0.684640i | \(0.240040\pi\) |
−0.953754 | + | 0.300589i | \(0.902817\pi\) | |||||||
\(968\) | −3.58257e9 | + | 1.56963e10i | −0.126949 | + | 0.556202i | ||||
\(969\) | 2.58936e10 | − | 1.76539e10i | 0.914237 | − | 0.623317i | ||||
\(970\) | 4.34055e7 | − | 5.79206e8i | 0.00152702 | − | 0.0203766i | ||||
\(971\) | −2.90818e10 | + | 8.97055e9i | −1.01942 | + | 0.314450i | −0.759032 | − | 0.651053i | \(-0.774327\pi\) |
−0.260390 | + | 0.965503i | \(0.583851\pi\) | |||||||
\(972\) | −8.71511e9 | − | 1.31359e9i | −0.304397 | − | 0.0458805i | ||||
\(973\) | −8.38451e9 | + | 1.05138e10i | −0.291798 | + | 0.365903i | ||||
\(974\) | −2.51425e10 | − | 1.71418e10i | −0.871870 | − | 0.594431i | ||||
\(975\) | −3.51848e9 | + | 3.26468e9i | −0.121574 | + | 0.112804i | ||||
\(976\) | −2.59723e8 | + | 6.61763e8i | −0.00894202 | + | 0.0227839i | ||||
\(977\) | 4.14687e10 | + | 1.27914e10i | 1.42262 | + | 0.438821i | 0.908135 | − | 0.418677i | \(-0.137506\pi\) |
0.514487 | + | 0.857498i | \(0.327982\pi\) | |||||||
\(978\) | −1.92534e10 | − | 9.27193e9i | −0.658143 | − | 0.316945i | ||||
\(979\) | −1.90940e10 | − | 4.86507e10i | −0.650365 | − | 1.65710i | ||||
\(980\) | −1.53710e7 | − | 2.05112e8i | −0.000521688 | − | 0.00696144i | ||||
\(981\) | −7.91131e9 | − | 9.92047e9i | −0.267551 | − | 0.335499i | ||||
\(982\) | 1.42585e10 | + | 2.46964e10i | 0.480489 | + | 0.832231i | ||||
\(983\) | −1.71483e10 | + | 2.97018e10i | −0.575818 | + | 0.997345i | 0.420135 | + | 0.907462i | \(0.361983\pi\) |
−0.995952 | + | 0.0898836i | \(0.971351\pi\) | |||||||
\(984\) | 3.63846e10 | − | 5.48410e9i | 1.21741 | − | 0.183494i | ||||
\(985\) | −4.95815e8 | + | 2.38772e8i | −0.0165308 | + | 0.00796079i | ||||
\(986\) | 1.69720e10 | + | 1.57477e10i | 0.563850 | + | 0.523176i | ||||
\(987\) | −4.41572e8 | − | 1.93465e9i | −0.0146181 | − | 0.0640462i | ||||
\(988\) | 4.90601e9 | 0.161838 | ||||||||
\(989\) | 1.78796e10 | − | 1.52375e10i | 0.587721 | − | 0.500872i | ||||
\(990\) | 1.81811e8 | 0.00595521 | ||||||||
\(991\) | 9.49407e9 | + | 4.15962e10i | 0.309881 | + | 1.35768i | 0.854700 | + | 0.519123i | \(0.173741\pi\) |
−0.544819 | + | 0.838554i | \(0.683402\pi\) | |||||||
\(992\) | −5.66049e9 | − | 5.25217e9i | −0.184104 | − | 0.170824i | ||||
\(993\) | −8.39389e8 | + | 4.04228e8i | −0.0272045 | + | 0.0131010i | ||||
\(994\) | −7.22888e7 | + | 1.08958e7i | −0.00233463 | + | 0.000351889i | ||||
\(995\) | 1.88653e8 | − | 3.26757e8i | 0.00607133 | − | 0.0105159i | ||||
\(996\) | 1.83743e9 | + | 3.18253e9i | 0.0589256 | + | 0.102062i | ||||
\(997\) | −2.45392e10 | − | 3.07712e10i | −0.784201 | − | 0.983357i | −0.999976 | − | 0.00691405i | \(-0.997799\pi\) |
0.215775 | − | 0.976443i | \(-0.430772\pi\) | |||||||
\(998\) | 1.96726e9 | + | 2.62512e10i | 0.0626476 | + | 0.835973i | ||||
\(999\) | −1.22221e10 | − | 3.11413e10i | −0.387851 | − | 0.988228i |
(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.10.17 | ✓ | 300 | |
43.13 | even | 21 | inner | 43.8.g.a.13.17 | yes | 300 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.8.g.a.10.17 | ✓ | 300 | 1.1 | even | 1 | trivial | |
43.8.g.a.13.17 | yes | 300 | 43.13 | even | 21 | inner |