Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [16,7,Mod(3,16)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(16, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("16.3");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 16 = 2^{4} \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 16.f (of order \(4\), degree \(2\), 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: | \(3.68086533792\) |
Analytic rank: | \(0\) |
Dimension: | \(22\) |
Relative dimension: | \(11\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 11.2 | ||
Character | \(\chi\) | \(=\) | 16.11 |
Dual form | 16.7.f.a.3.2 |
$q$-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 \(\left(\mathbb{Z}/16\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(15\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −7.06494 | + | 3.75322i | −0.883117 | + | 0.469153i | ||||
\(3\) | −9.43202 | − | 9.43202i | −0.349334 | − | 0.349334i | 0.510528 | − | 0.859861i | \(-0.329450\pi\) |
−0.859861 | + | 0.510528i | \(0.829450\pi\) | |||||||
\(4\) | 35.8267 | − | 53.0325i | 0.559792 | − | 0.828633i | ||||
\(5\) | 46.6419 | + | 46.6419i | 0.373135 | + | 0.373135i | 0.868618 | − | 0.495483i | \(-0.165009\pi\) |
−0.495483 | + | 0.868618i | \(0.665009\pi\) | |||||||
\(6\) | 102.037 | + | 31.2362i | 0.472394 | + | 0.144612i | ||||
\(7\) | 647.751 | 1.88849 | 0.944243 | − | 0.329249i | \(-0.106796\pi\) | ||||
0.944243 | + | 0.329249i | \(0.106796\pi\) | |||||||
\(8\) | −54.0705 | + | 509.137i | −0.105606 | + | 0.994408i | ||||
\(9\) | − | 551.074i | − | 0.755932i | ||||||
\(10\) | −504.579 | − | 154.465i | −0.504579 | − | 0.154465i | ||||
\(11\) | 260.052 | − | 260.052i | 0.195381 | − | 0.195381i | −0.602635 | − | 0.798017i | \(-0.705883\pi\) |
0.798017 | + | 0.602635i | \(0.205883\pi\) | |||||||
\(12\) | −838.121 | + | 162.286i | −0.485024 | + | 0.0939154i | ||||
\(13\) | 626.285 | − | 626.285i | 0.285064 | − | 0.285064i | −0.550061 | − | 0.835125i | \(-0.685395\pi\) |
0.835125 | + | 0.550061i | \(0.185395\pi\) | |||||||
\(14\) | −4576.32 | + | 2431.15i | −1.66775 | + | 0.885988i | ||||
\(15\) | − | 879.853i | − | 0.260697i | ||||||
\(16\) | −1528.90 | − | 3799.96i | −0.373266 | − | 0.927724i | ||||
\(17\) | −1507.54 | −0.306846 | −0.153423 | − | 0.988161i | \(-0.549030\pi\) | ||||
−0.153423 | + | 0.988161i | \(0.549030\pi\) | |||||||
\(18\) | 2068.30 | + | 3893.30i | 0.354647 | + | 0.667576i | ||||
\(19\) | 5914.78 | + | 5914.78i | 0.862339 | + | 0.862339i | 0.991609 | − | 0.129270i | \(-0.0412635\pi\) |
−0.129270 | + | 0.991609i | \(0.541263\pi\) | |||||||
\(20\) | 4144.56 | − | 802.513i | 0.518070 | − | 0.100314i | ||||
\(21\) | −6109.59 | − | 6109.59i | −0.659712 | − | 0.659712i | ||||
\(22\) | −861.220 | + | 2813.29i | −0.0808809 | + | 0.264208i | ||||
\(23\) | 10951.0 | 0.900058 | 0.450029 | − | 0.893014i | \(-0.351414\pi\) | ||||
0.450029 | + | 0.893014i | \(0.351414\pi\) | |||||||
\(24\) | 5312.18 | − | 4292.19i | 0.384272 | − | 0.310489i | ||||
\(25\) | − | 11274.1i | − | 0.721541i | ||||||
\(26\) | −2074.08 | + | 6775.25i | −0.118006 | + | 0.385483i | ||||
\(27\) | −12073.7 | + | 12073.7i | −0.613406 | + | 0.613406i | ||||
\(28\) | 23206.8 | − | 34351.9i | 1.05716 | − | 1.56486i | ||||
\(29\) | −24532.3 | + | 24532.3i | −1.00588 | + | 1.00588i | −0.00589441 | + | 0.999983i | \(0.501876\pi\) |
−0.999983 | + | 0.00589441i | \(0.998124\pi\) | |||||||
\(30\) | 3302.28 | + | 6216.11i | 0.122307 | + | 0.230226i | ||||
\(31\) | − | 1877.01i | − | 0.0630060i | −0.999504 | − | 0.0315030i | \(-0.989971\pi\) | ||
0.999504 | − | 0.0315030i | \(-0.0100294\pi\) | |||||||
\(32\) | 25063.7 | + | 21108.2i | 0.764882 | + | 0.644171i | ||||
\(33\) | −4905.63 | −0.136507 | ||||||||
\(34\) | 10650.6 | − | 5658.11i | 0.270981 | − | 0.143958i | ||||
\(35\) | 30212.3 | + | 30212.3i | 0.704660 | + | 0.704660i | ||||
\(36\) | −29224.9 | − | 19743.2i | −0.626390 | − | 0.423164i | ||||
\(37\) | −62335.0 | − | 62335.0i | −1.23063 | − | 1.23063i | −0.963723 | − | 0.266905i | \(-0.913999\pi\) |
−0.266905 | − | 0.963723i | \(-0.586001\pi\) | |||||||
\(38\) | −63987.1 | − | 19588.1i | −1.16612 | − | 0.356978i | ||||
\(39\) | −11814.3 | −0.199165 | ||||||||
\(40\) | −26269.0 | + | 21225.1i | −0.410454 | + | 0.331643i | ||||
\(41\) | 58050.6i | 0.842278i | 0.906996 | + | 0.421139i | \(0.138369\pi\) | ||||
−0.906996 | + | 0.421139i | \(0.861631\pi\) | |||||||
\(42\) | 66094.6 | + | 20233.3i | 0.892109 | + | 0.273098i | ||||
\(43\) | −5771.32 | + | 5771.32i | −0.0725888 | + | 0.0725888i | −0.742469 | − | 0.669880i | \(-0.766345\pi\) |
0.669880 | + | 0.742469i | \(0.266345\pi\) | |||||||
\(44\) | −4474.42 | − | 23108.0i | −0.0525265 | − | 0.271272i | ||||
\(45\) | 25703.1 | − | 25703.1i | 0.282064 | − | 0.282064i | ||||
\(46\) | −77368.2 | + | 41101.5i | −0.794857 | + | 0.422264i | ||||
\(47\) | − | 151739.i | − | 1.46151i | −0.682638 | − | 0.730757i | \(-0.739167\pi\) | ||
0.682638 | − | 0.730757i | \(-0.260833\pi\) | |||||||
\(48\) | −21420.7 | + | 50261.9i | −0.193691 | + | 0.454480i | ||||
\(49\) | 301932. | 2.56638 | ||||||||
\(50\) | 42314.1 | + | 79650.6i | 0.338513 | + | 0.637205i | ||||
\(51\) | 14219.1 | + | 14219.1i | 0.107192 | + | 0.107192i | ||||
\(52\) | −10775.8 | − | 55651.2i | −0.0766370 | − | 0.395790i | ||||
\(53\) | 64565.8 | + | 64565.8i | 0.433685 | + | 0.433685i | 0.889880 | − | 0.456195i | \(-0.150788\pi\) |
−0.456195 | + | 0.889880i | \(0.650788\pi\) | |||||||
\(54\) | 39984.6 | − | 130615.i | 0.253929 | − | 0.829491i | ||||
\(55\) | 24258.6 | 0.145807 | ||||||||
\(56\) | −35024.2 | + | 329794.i | −0.199436 | + | 1.87793i | ||||
\(57\) | − | 111577.i | − | 0.602489i | ||||||
\(58\) | 81244.2 | − | 265395.i | 0.416398 | − | 1.36022i | ||||
\(59\) | −199692. | + | 199692.i | −0.972309 | + | 0.972309i | −0.999627 | − | 0.0273181i | \(-0.991303\pi\) |
0.0273181 | + | 0.999627i | \(0.491303\pi\) | |||||||
\(60\) | −46660.9 | − | 31522.2i | −0.216022 | − | 0.145936i | ||||
\(61\) | −226842. | + | 226842.i | −0.999386 | + | 0.999386i | −1.00000 | 0.000613806i | \(-0.999805\pi\) | |
0.000613806 | 1.00000i | \(0.499805\pi\) | ||||||||
\(62\) | 7044.84 | + | 13261.0i | 0.0295594 | + | 0.0556417i | ||||
\(63\) | − | 356959.i | − | 1.42757i | ||||||
\(64\) | −256297. | − | 55058.6i | −0.977695 | − | 0.210032i | ||||
\(65\) | 58422.2 | 0.212735 | ||||||||
\(66\) | 34658.0 | − | 18411.9i | 0.120551 | − | 0.0640424i | ||||
\(67\) | −53695.6 | − | 53695.6i | −0.178531 | − | 0.178531i | 0.612184 | − | 0.790715i | \(-0.290291\pi\) |
−0.790715 | + | 0.612184i | \(0.790291\pi\) | |||||||
\(68\) | −54010.0 | + | 79948.4i | −0.171770 | + | 0.254263i | ||||
\(69\) | −103290. | − | 103290.i | −0.314421 | − | 0.314421i | ||||
\(70\) | −326841. | − | 100055.i | −0.952890 | − | 0.291704i | ||||
\(71\) | −294503. | −0.822838 | −0.411419 | − | 0.911446i | \(-0.634967\pi\) | ||||
−0.411419 | + | 0.911446i | \(0.634967\pi\) | |||||||
\(72\) | 280572. | + | 29796.9i | 0.751704 | + | 0.0798312i | ||||
\(73\) | 476283.i | 1.22432i | 0.790732 | + | 0.612162i | \(0.209700\pi\) | ||||
−0.790732 | + | 0.612162i | \(0.790300\pi\) | |||||||
\(74\) | 674350. | + | 206436.i | 1.66414 | + | 0.509436i | ||||
\(75\) | −106337. | + | 106337.i | −0.252059 | + | 0.252059i | ||||
\(76\) | 525583. | − | 101769.i | 1.19729 | − | 0.231832i | ||||
\(77\) | 168449. | − | 168449.i | 0.368975 | − | 0.368975i | ||||
\(78\) | 83467.0 | − | 44341.5i | 0.175886 | − | 0.0934387i | ||||
\(79\) | 291918.i | 0.592079i | 0.955176 | + | 0.296039i | \(0.0956660\pi\) | ||||
−0.955176 | + | 0.296039i | \(0.904334\pi\) | |||||||
\(80\) | 105926. | − | 248548.i | 0.206888 | − | 0.485445i | ||||
\(81\) | −173975. | −0.327364 | ||||||||
\(82\) | −217877. | − | 410124.i | −0.395157 | − | 0.743830i | ||||
\(83\) | 199292. | + | 199292.i | 0.348542 | + | 0.348542i | 0.859566 | − | 0.511024i | \(-0.170734\pi\) |
−0.511024 | + | 0.859566i | \(0.670734\pi\) | |||||||
\(84\) | −542894. | + | 105121.i | −0.915961 | + | 0.177358i | ||||
\(85\) | −70314.2 | − | 70314.2i | −0.114495 | − | 0.114495i | ||||
\(86\) | 19113.0 | − | 62435.0i | 0.0300492 | − | 0.0981596i | ||||
\(87\) | 462779. | 0.702774 | ||||||||
\(88\) | 118341. | + | 146463.i | 0.173655 | + | 0.214922i | ||||
\(89\) | − | 713623.i | − | 1.01228i | −0.862453 | − | 0.506138i | \(-0.831073\pi\) | ||
0.862453 | − | 0.506138i | \(-0.168927\pi\) | |||||||
\(90\) | −85121.5 | + | 278060.i | −0.116765 | + | 0.381427i | ||||
\(91\) | 405677. | − | 405677.i | 0.538339 | − | 0.538339i | ||||
\(92\) | 392338. | − | 580759.i | 0.503845 | − | 0.745818i | ||||
\(93\) | −17704.0 | + | 17704.0i | −0.0220101 | + | 0.0220101i | ||||
\(94\) | 569509. | + | 1.07202e6i | 0.685673 | + | 1.29069i | ||||
\(95\) | 551753.i | 0.643538i | ||||||||
\(96\) | −37308.1 | − | 435493.i | −0.0421686 | − | 0.492230i | ||||
\(97\) | −237368. | −0.260080 | −0.130040 | − | 0.991509i | \(-0.541511\pi\) | ||||
−0.130040 | + | 0.991509i | \(0.541511\pi\) | |||||||
\(98\) | −2.13313e6 | + | 1.13322e6i | −2.26641 | + | 1.20402i | ||||
\(99\) | −143308. | − | 143308.i | −0.147695 | − | 0.147695i | ||||
\(100\) | −597893. | − | 403913.i | −0.597893 | − | 0.403913i | ||||
\(101\) | 55572.6 | + | 55572.6i | 0.0539382 | + | 0.0539382i | 0.733561 | − | 0.679623i | \(-0.237857\pi\) |
−0.679623 | + | 0.733561i | \(0.737857\pi\) | |||||||
\(102\) | −153824. | − | 47089.6i | −0.144952 | − | 0.0443736i | ||||
\(103\) | 682690. | 0.624758 | 0.312379 | − | 0.949958i | \(-0.398874\pi\) | ||||
0.312379 | + | 0.949958i | \(0.398874\pi\) | |||||||
\(104\) | 285001. | + | 352728.i | 0.253365 | + | 0.313574i | ||||
\(105\) | − | 569926.i | − | 0.492323i | ||||||
\(106\) | −698483. | − | 213824.i | −0.586460 | − | 0.179530i | ||||
\(107\) | 908570. | − | 908570.i | 0.741664 | − | 0.741664i | −0.231234 | − | 0.972898i | \(-0.574276\pi\) |
0.972898 | + | 0.231234i | \(0.0742764\pi\) | |||||||
\(108\) | 207738. | + | 1.07286e6i | 0.164909 | + | 0.851669i | ||||
\(109\) | 413854. | − | 413854.i | 0.319571 | − | 0.319571i | −0.529031 | − | 0.848602i | \(-0.677445\pi\) |
0.848602 | + | 0.529031i | \(0.177445\pi\) | |||||||
\(110\) | −171386. | + | 91048.0i | −0.128765 | + | 0.0684057i | ||||
\(111\) | 1.17589e6i | 0.859800i | ||||||||
\(112\) | −990345. | − | 2.46143e6i | −0.704908 | − | 1.75199i | ||||
\(113\) | −2.22714e6 | −1.54352 | −0.771761 | − | 0.635913i | \(-0.780624\pi\) | ||||
−0.771761 | + | 0.635913i | \(0.780624\pi\) | |||||||
\(114\) | 418772. | + | 788282.i | 0.282659 | + | 0.532068i | ||||
\(115\) | 510775. | + | 510775.i | 0.335843 | + | 0.335843i | ||||
\(116\) | 422100. | + | 2.17992e6i | 0.270421 | + | 1.39658i | ||||
\(117\) | −345130. | − | 345130.i | −0.215489 | − | 0.215489i | ||||
\(118\) | 661323. | − | 2.16030e6i | 0.402501 | − | 1.31482i | ||||
\(119\) | −976507. | −0.579475 | ||||||||
\(120\) | 447966. | + | 47574.1i | 0.259239 | + | 0.0275313i | ||||
\(121\) | 1.63631e6i | 0.923652i | ||||||||
\(122\) | 751235. | − | 2.45401e6i | 0.413710 | − | 1.35144i | ||||
\(123\) | 547534. | − | 547534.i | 0.294236 | − | 0.294236i | ||||
\(124\) | −99542.7 | − | 67247.1i | −0.0522089 | − | 0.0352703i | ||||
\(125\) | 1.25462e6 | − | 1.25462e6i | 0.642367 | − | 0.642367i | ||||
\(126\) | 1.33974e6 | + | 2.52189e6i | 0.669746 | + | 1.26071i | ||||
\(127\) | 1.14502e6i | 0.558988i | 0.960147 | + | 0.279494i | \(0.0901666\pi\) | ||||
−0.960147 | + | 0.279494i | \(0.909833\pi\) | |||||||
\(128\) | 2.01737e6 | − | 572953.i | 0.961956 | − | 0.273205i | ||||
\(129\) | 108870. | 0.0507154 | ||||||||
\(130\) | −412749. | + | 219271.i | −0.187869 | + | 0.0998049i | ||||
\(131\) | −2.23091e6 | − | 2.23091e6i | −0.992357 | − | 0.992357i | 0.00761414 | − | 0.999971i | \(-0.497576\pi\) |
−0.999971 | + | 0.00761414i | \(0.997576\pi\) | |||||||
\(132\) | −175753. | + | 260158.i | −0.0764152 | + | 0.113114i | ||||
\(133\) | 3.83131e6 | + | 3.83131e6i | 1.62852 | + | 1.62852i | ||||
\(134\) | 580887. | + | 177825.i | 0.241422 | + | 0.0739056i | ||||
\(135\) | −1.12628e6 | −0.457767 | ||||||||
\(136\) | 81513.2 | − | 767542.i | 0.0324049 | − | 0.305130i | ||||
\(137\) | − | 1.66105e6i | − | 0.645984i | −0.946402 | − | 0.322992i | \(-0.895311\pi\) | ||
0.946402 | − | 0.322992i | \(-0.104689\pi\) | |||||||
\(138\) | 1.11741e6 | + | 342067.i | 0.425182 | + | 0.130159i | ||||
\(139\) | −1.78332e6 | + | 1.78332e6i | −0.664024 | + | 0.664024i | −0.956326 | − | 0.292302i | \(-0.905579\pi\) |
0.292302 | + | 0.956326i | \(0.405579\pi\) | |||||||
\(140\) | 2.68464e6 | − | 519828.i | 0.978368 | − | 0.189442i | ||||
\(141\) | −1.43120e6 | + | 1.43120e6i | −0.510556 | + | 0.510556i | ||||
\(142\) | 2.08064e6 | − | 1.10533e6i | 0.726662 | − | 0.386036i | ||||
\(143\) | − | 325734.i | − | 0.111392i | ||||||
\(144\) | −2.09406e6 | + | 842536.i | −0.701296 | + | 0.282164i | ||||
\(145\) | −2.28847e6 | −0.750656 | ||||||||
\(146\) | −1.78760e6 | − | 3.36491e6i | −0.574395 | − | 1.08122i | ||||
\(147\) | −2.84783e6 | − | 2.84783e6i | −0.896523 | − | 0.896523i | ||||
\(148\) | −5.53904e6 | + | 1.07253e6i | −1.70863 | + | 0.330844i | ||||
\(149\) | −702022. | − | 702022.i | −0.212223 | − | 0.212223i | 0.592988 | − | 0.805211i | \(-0.297948\pi\) |
−0.805211 | + | 0.592988i | \(0.797948\pi\) | |||||||
\(150\) | 352159. | − | 1.15037e6i | 0.104343 | − | 0.340851i | ||||
\(151\) | 772090. | 0.224252 | 0.112126 | − | 0.993694i | \(-0.464234\pi\) | ||||
0.112126 | + | 0.993694i | \(0.464234\pi\) | |||||||
\(152\) | −3.33125e6 | + | 2.69162e6i | −0.948586 | + | 0.766448i | ||||
\(153\) | 830764.i | 0.231955i | ||||||||
\(154\) | −557856. | + | 1.82231e6i | −0.152742 | + | 0.498953i | ||||
\(155\) | 87547.4 | − | 87547.4i | 0.0235097 | − | 0.0235097i | ||||
\(156\) | −423266. | + | 626540.i | −0.111491 | + | 0.165035i | ||||
\(157\) | 809459. | − | 809459.i | 0.209168 | − | 0.209168i | −0.594746 | − | 0.803914i | \(-0.702747\pi\) |
0.803914 | + | 0.594746i | \(0.202747\pi\) | |||||||
\(158\) | −1.09563e6 | − | 2.06238e6i | −0.277775 | − | 0.522875i | ||||
\(159\) | − | 1.21797e6i | − | 0.303002i | ||||||
\(160\) | 184491. | + | 2.15354e6i | 0.0450416 | + | 0.525767i | ||||
\(161\) | 7.09352e6 | 1.69975 | ||||||||
\(162\) | 1.22912e6 | − | 652966.i | 0.289101 | − | 0.153584i | ||||
\(163\) | 3.28693e6 | + | 3.28693e6i | 0.758976 | + | 0.758976i | 0.976136 | − | 0.217160i | \(-0.0696794\pi\) |
−0.217160 | + | 0.976136i | \(0.569679\pi\) | |||||||
\(164\) | 3.07857e6 | + | 2.07976e6i | 0.697939 | + | 0.471500i | ||||
\(165\) | −228808. | − | 228808.i | −0.0509353 | − | 0.0509353i | ||||
\(166\) | −2.15597e6 | − | 659998.i | −0.471323 | − | 0.144284i | ||||
\(167\) | −3.17737e6 | −0.682210 | −0.341105 | − | 0.940025i | \(-0.610801\pi\) | ||||
−0.341105 | + | 0.940025i | \(0.610801\pi\) | |||||||
\(168\) | 3.44097e6 | − | 2.78027e6i | 0.725693 | − | 0.586353i | ||||
\(169\) | 4.04234e6i | 0.837477i | ||||||||
\(170\) | 760671. | + | 232861.i | 0.154828 | + | 0.0473969i | ||||
\(171\) | 3.25949e6 | − | 3.25949e6i | 0.651870 | − | 0.651870i | ||||
\(172\) | 99300.4 | + | 512835.i | 0.0195149 | + | 0.100784i | ||||
\(173\) | 2.66328e6 | − | 2.66328e6i | 0.514372 | − | 0.514372i | −0.401491 | − | 0.915863i | \(-0.631508\pi\) |
0.915863 | + | 0.401491i | \(0.131508\pi\) | |||||||
\(174\) | −3.26950e6 | + | 1.73691e6i | −0.620632 | + | 0.329708i | ||||
\(175\) | − | 7.30279e6i | − | 1.36262i | ||||||
\(176\) | −1.38578e6 | − | 590595.i | −0.254189 | − | 0.108331i | ||||
\(177\) | 3.76699e6 | 0.679321 | ||||||||
\(178\) | 2.67838e6 | + | 5.04170e6i | 0.474912 | + | 0.893958i | ||||
\(179\) | 5.19151e6 | + | 5.19151e6i | 0.905180 | + | 0.905180i | 0.995878 | − | 0.0906987i | \(-0.0289100\pi\) |
−0.0906987 | + | 0.995878i | \(0.528910\pi\) | |||||||
\(180\) | −442244. | − | 2.28396e6i | −0.0758306 | − | 0.391625i | ||||
\(181\) | −4.48348e6 | − | 4.48348e6i | −0.756101 | − | 0.756101i | 0.219509 | − | 0.975610i | \(-0.429554\pi\) |
−0.975610 | + | 0.219509i | \(0.929554\pi\) | |||||||
\(182\) | −1.34349e6 | + | 4.38867e6i | −0.222853 | + | 0.727980i | ||||
\(183\) | 4.27915e6 | 0.698239 | ||||||||
\(184\) | −592126. | + | 5.57556e6i | −0.0950519 | + | 0.895025i | ||||
\(185\) | − | 5.81484e6i | − | 0.918380i | ||||||
\(186\) | 58630.7 | − | 191525.i | 0.00911142 | − | 0.0297637i | ||||
\(187\) | −392038. | + | 392038.i | −0.0599520 | + | 0.0599520i | ||||
\(188\) | −8.04709e6 | − | 5.43629e6i | −1.21106 | − | 0.818143i | ||||
\(189\) | −7.82073e6 | + | 7.82073e6i | −1.15841 | + | 1.15841i | ||||
\(190\) | −2.07085e6 | − | 3.89810e6i | −0.301917 | − | 0.568319i | ||||
\(191\) | 6.68684e6i | 0.959667i | 0.877360 | + | 0.479833i | \(0.159303\pi\) | ||||
−0.877360 | + | 0.479833i | \(0.840697\pi\) | |||||||
\(192\) | 1.89808e6 | + | 2.93671e6i | 0.268171 | + | 0.414913i | ||||
\(193\) | −4.36959e6 | −0.607812 | −0.303906 | − | 0.952702i | \(-0.598291\pi\) | ||||
−0.303906 | + | 0.952702i | \(0.598291\pi\) | |||||||
\(194\) | 1.67699e6 | − | 890893.i | 0.229681 | − | 0.122017i | ||||
\(195\) | −551039. | − | 551039.i | −0.0743154 | − | 0.0743154i | ||||
\(196\) | 1.08172e7 | − | 1.60122e7i | 1.43664 | − | 2.12659i | ||||
\(197\) | −6.87265e6 | − | 6.87265e6i | −0.898930 | − | 0.898930i | 0.0964119 | − | 0.995342i | \(-0.469263\pi\) |
−0.995342 | + | 0.0964119i | \(0.969263\pi\) | |||||||
\(198\) | 1.55033e6 | + | 474596.i | 0.199723 | + | 0.0611404i | ||||
\(199\) | 4.69869e6 | 0.596236 | 0.298118 | − | 0.954529i | \(-0.403641\pi\) | ||||
0.298118 | + | 0.954529i | \(0.403641\pi\) | |||||||
\(200\) | 5.74005e6 | + | 609595.i | 0.717506 | + | 0.0761994i | ||||
\(201\) | 1.01292e6i | 0.124734i | ||||||||
\(202\) | −601193. | − | 184041.i | −0.0729390 | − | 0.0223285i | ||||
\(203\) | −1.58908e7 | + | 1.58908e7i | −1.89958 | + | 1.89958i | ||||
\(204\) | 1.26350e6 | − | 244652.i | 0.148828 | − | 0.0288176i | ||||
\(205\) | −2.70759e6 | + | 2.70759e6i | −0.314283 | + | 0.314283i | ||||
\(206\) | −4.82316e6 | + | 2.56229e6i | −0.551735 | + | 0.293107i | ||||
\(207\) | − | 6.03482e6i | − | 0.680382i | ||||||
\(208\) | −3.33738e6 | − | 1.42233e6i | −0.370865 | − | 0.158056i | ||||
\(209\) | 3.07631e6 | 0.336970 | ||||||||
\(210\) | 2.13906e6 | + | 4.02649e6i | 0.230975 | + | 0.434779i | ||||
\(211\) | −650778. | − | 650778.i | −0.0692764 | − | 0.0692764i | 0.671620 | − | 0.740896i | \(-0.265599\pi\) |
−0.740896 | + | 0.671620i | \(0.765599\pi\) | |||||||
\(212\) | 5.73727e6 | − | 1.11091e6i | 0.602140 | − | 0.116593i | ||||
\(213\) | 2.77775e6 | + | 2.77775e6i | 0.287445 | + | 0.287445i | ||||
\(214\) | −3.00893e6 | + | 9.82906e6i | −0.307023 | + | 1.00293i | ||||
\(215\) | −538370. | −0.0541708 | ||||||||
\(216\) | −5.49433e6 | − | 6.79999e6i | −0.545197 | − | 0.674756i | ||||
\(217\) | − | 1.21584e6i | − | 0.118986i | ||||||
\(218\) | −1.37057e6 | + | 4.47713e6i | −0.132291 | + | 0.432146i | ||||
\(219\) | 4.49231e6 | − | 4.49231e6i | 0.427698 | − | 0.427698i | ||||
\(220\) | 869107. | − | 1.28650e6i | 0.0816216 | − | 0.120821i | ||||
\(221\) | −944147. | + | 944147.i | −0.0874707 | + | 0.0874707i | ||||
\(222\) | −4.41337e6 | − | 8.30758e6i | −0.403377 | − | 0.759304i | ||||
\(223\) | − | 4.10370e6i | − | 0.370050i | −0.982734 | − | 0.185025i | \(-0.940763\pi\) | ||
0.982734 | − | 0.185025i | \(-0.0592366\pi\) | |||||||
\(224\) | 1.62350e7 | + | 1.36728e7i | 1.44447 | + | 1.21651i | ||||
\(225\) | −6.21285e6 | −0.545435 | ||||||||
\(226\) | 1.57346e7 | − | 8.35896e6i | 1.36311 | − | 0.724147i | ||||
\(227\) | 9.14949e6 | + | 9.14949e6i | 0.782203 | + | 0.782203i | 0.980202 | − | 0.197999i | \(-0.0634444\pi\) |
−0.197999 | + | 0.980202i | \(0.563444\pi\) | |||||||
\(228\) | −5.91719e6 | − | 3.99742e6i | −0.499242 | − | 0.337268i | ||||
\(229\) | −1.00525e7 | − | 1.00525e7i | −0.837080 | − | 0.837080i | 0.151393 | − | 0.988474i | \(-0.451624\pi\) |
−0.988474 | + | 0.151393i | \(0.951624\pi\) | |||||||
\(230\) | −5.52565e6 | − | 1.69154e6i | −0.454150 | − | 0.139027i | ||||
\(231\) | −3.17763e6 | −0.257791 | ||||||||
\(232\) | −1.11638e7 | − | 1.38168e7i | −0.894025 | − | 1.10648i | ||||
\(233\) | 2.40216e6i | 0.189904i | 0.995482 | + | 0.0949519i | \(0.0302697\pi\) | ||||
−0.995482 | + | 0.0949519i | \(0.969730\pi\) | |||||||
\(234\) | 3.73367e6 | + | 1.14297e6i | 0.291399 | + | 0.0892047i | ||||
\(235\) | 7.07737e6 | − | 7.07737e6i | 0.545341 | − | 0.545341i | ||||
\(236\) | 3.43587e6 | + | 1.77445e7i | 0.261397 | + | 1.34998i | ||||
\(237\) | 2.75337e6 | − | 2.75337e6i | 0.206833 | − | 0.206833i | ||||
\(238\) | 6.89896e6 | − | 3.66505e6i | 0.511744 | − | 0.271862i | ||||
\(239\) | − | 4.88169e6i | − | 0.357583i | −0.983887 | − | 0.178791i | \(-0.942781\pi\) | ||
0.983887 | − | 0.178791i | \(-0.0572188\pi\) | |||||||
\(240\) | −3.34341e6 | + | 1.34521e6i | −0.241855 | + | 0.0973095i | ||||
\(241\) | 1.42451e7 | 1.01768 | 0.508842 | − | 0.860860i | \(-0.330074\pi\) | ||||
0.508842 | + | 0.860860i | \(0.330074\pi\) | |||||||
\(242\) | −6.14142e6 | − | 1.15604e7i | −0.433334 | − | 0.815693i | ||||
\(243\) | 1.04426e7 | + | 1.04426e7i | 0.727766 | + | 0.727766i | ||||
\(244\) | 3.90300e6 | + | 2.01570e7i | 0.268676 | + | 1.38757i | ||||
\(245\) | 1.40827e7 | + | 1.40827e7i | 0.957606 | + | 0.957606i | ||||
\(246\) | −1.81328e6 | + | 5.92331e6i | −0.121803 | + | 0.397887i | ||||
\(247\) | 7.40869e6 | 0.491643 | ||||||||
\(248\) | 955657. | + | 101491.i | 0.0626537 | + | 0.00665384i | ||||
\(249\) | − | 3.75945e6i | − | 0.243515i | ||||||
\(250\) | −4.15496e6 | + | 1.35727e7i | −0.265917 | + | 0.868653i | ||||
\(251\) | 1.32246e6 | − | 1.32246e6i | 0.0836296 | − | 0.0836296i | −0.664055 | − | 0.747684i | \(-0.731166\pi\) |
0.747684 | + | 0.664055i | \(0.231166\pi\) | |||||||
\(252\) | −1.89304e7 | − | 1.27886e7i | −1.18293 | − | 0.799140i | ||||
\(253\) | 2.84783e6 | − | 2.84783e6i | 0.175854 | − | 0.175854i | ||||
\(254\) | −4.29751e6 | − | 8.08950e6i | −0.262250 | − | 0.493652i | ||||
\(255\) | 1.32641e6i | 0.0799940i | ||||||||
\(256\) | −1.21022e7 | + | 1.16195e7i | −0.721345 | + | 0.692576i | ||||
\(257\) | 4.59304e6 | 0.270583 | 0.135292 | − | 0.990806i | \(-0.456803\pi\) | ||||
0.135292 | + | 0.990806i | \(0.456803\pi\) | |||||||
\(258\) | −769162. | + | 408614.i | −0.0447877 | + | 0.0237933i | ||||
\(259\) | −4.03775e7 | − | 4.03775e7i | −2.32402 | − | 2.32402i | ||||
\(260\) | 2.09307e6 | − | 3.09828e6i | 0.119087 | − | 0.176279i | ||||
\(261\) | 1.35191e7 | + | 1.35191e7i | 0.760374 | + | 0.760374i | ||||
\(262\) | 2.41343e7 | + | 7.38814e6i | 1.34193 | + | 0.410801i | ||||
\(263\) | −1.60609e7 | −0.882880 | −0.441440 | − | 0.897291i | \(-0.645532\pi\) | ||||
−0.441440 | + | 0.897291i | \(0.645532\pi\) | |||||||
\(264\) | 265250. | − | 2.49764e6i | 0.0144160 | − | 0.135743i | ||||
\(265\) | 6.02294e6i | 0.323646i | ||||||||
\(266\) | −4.14477e7 | − | 1.26882e7i | −2.20219 | − | 0.674148i | ||||
\(267\) | −6.73090e6 | + | 6.73090e6i | −0.353622 | + | 0.353622i | ||||
\(268\) | −4.77135e6 | + | 923878.i | −0.247877 | + | 0.0479966i | ||||
\(269\) | 1.00869e7 | − | 1.00869e7i | 0.518203 | − | 0.518203i | −0.398824 | − | 0.917027i | \(-0.630582\pi\) |
0.917027 | + | 0.398824i | \(0.130582\pi\) | |||||||
\(270\) | 7.95708e6 | − | 4.22717e6i | 0.404262 | − | 0.214762i | ||||
\(271\) | 6.63437e6i | 0.333344i | 0.986012 | + | 0.166672i | \(0.0533020\pi\) | ||||
−0.986012 | + | 0.166672i | \(0.946698\pi\) | |||||||
\(272\) | 2.30487e6 | + | 5.72857e6i | 0.114535 | + | 0.284669i | ||||
\(273\) | −7.65270e6 | −0.376120 | ||||||||
\(274\) | 6.23429e6 | + | 1.17352e7i | 0.303065 | + | 0.570479i | ||||
\(275\) | −2.93185e6 | − | 2.93185e6i | −0.140975 | − | 0.140975i | ||||
\(276\) | −9.17827e6 | + | 1.77719e6i | −0.436550 | + | 0.0845293i | ||||
\(277\) | −517807. | − | 517807.i | −0.0243629 | − | 0.0243629i | 0.694820 | − | 0.719183i | \(-0.255484\pi\) |
−0.719183 | + | 0.694820i | \(0.755484\pi\) | |||||||
\(278\) | 5.90584e6 | − | 1.92922e7i | 0.274882 | − | 0.897940i | ||||
\(279\) | −1.03437e6 | −0.0476283 | ||||||||
\(280\) | −1.70158e7 | + | 1.37486e7i | −0.775136 | + | 0.626303i | ||||
\(281\) | 872957.i | 0.0393436i | 0.999806 | + | 0.0196718i | \(0.00626213\pi\) | ||||
−0.999806 | + | 0.0196718i | \(0.993738\pi\) | |||||||
\(282\) | 4.73973e6 | − | 1.54830e7i | 0.211352 | − | 0.690409i | ||||
\(283\) | 1.78268e7 | − | 1.78268e7i | 0.786529 | − | 0.786529i | −0.194395 | − | 0.980923i | \(-0.562274\pi\) |
0.980923 | + | 0.194395i | \(0.0622743\pi\) | |||||||
\(284\) | −1.05511e7 | + | 1.56182e7i | −0.460618 | + | 0.681831i | ||||
\(285\) | 5.20414e6 | − | 5.20414e6i | 0.224810 | − | 0.224810i | ||||
\(286\) | 1.22255e6 | + | 2.30129e6i | 0.0522599 | + | 0.0983724i | ||||
\(287\) | 3.76023e7i | 1.59063i | ||||||||
\(288\) | 1.16322e7 | − | 1.38119e7i | 0.486949 | − | 0.578198i | ||||
\(289\) | −2.18649e7 | −0.905845 | ||||||||
\(290\) | 1.61679e7 | − | 8.58912e6i | 0.662917 | − | 0.352172i | ||||
\(291\) | 2.23886e6 | + | 2.23886e6i | 0.0908547 | + | 0.0908547i | ||||
\(292\) | 2.52585e7 | + | 1.70636e7i | 1.01452 | + | 0.685367i | ||||
\(293\) | 1.17082e7 | + | 1.17082e7i | 0.465466 | + | 0.465466i | 0.900442 | − | 0.434976i | \(-0.143243\pi\) |
−0.434976 | + | 0.900442i | \(0.643243\pi\) | |||||||
\(294\) | 3.08082e7 | + | 9.43120e6i | 1.21234 | + | 0.371129i | ||||
\(295\) | −1.86280e7 | −0.725605 | ||||||||
\(296\) | 3.51075e7 | − | 2.83666e7i | 1.35371 | − | 1.09378i | ||||
\(297\) | 6.27958e6i | 0.239696i | ||||||||
\(298\) | 7.59459e6 | + | 2.32490e6i | 0.286983 | + | 0.0878528i | ||||
\(299\) | 6.85845e6 | − | 6.85845e6i | 0.256574 | − | 0.256574i | ||||
\(300\) | 1.82962e6 | + | 9.44904e6i | 0.0677638 | + | 0.349965i | ||||
\(301\) | −3.73837e6 | + | 3.73837e6i | −0.137083 | + | 0.137083i | ||||
\(302\) | −5.45477e6 | + | 2.89782e6i | −0.198041 | + | 0.105209i | ||||
\(303\) | − | 1.04832e6i | − | 0.0376849i | ||||||
\(304\) | 1.34328e7 | − | 3.15190e7i | 0.478131 | − | 1.12190i | ||||
\(305\) | −2.11606e7 | −0.745811 | ||||||||
\(306\) | −3.11804e6 | − | 5.86929e6i | −0.108822 | − | 0.204843i | ||||
\(307\) | 9.99969e6 | + | 9.99969e6i | 0.345598 | + | 0.345598i | 0.858467 | − | 0.512869i | \(-0.171417\pi\) |
−0.512869 | + | 0.858467i | \(0.671417\pi\) | |||||||
\(308\) | −2.89831e6 | − | 1.49683e7i | −0.0991956 | − | 0.512294i | ||||
\(309\) | −6.43914e6 | − | 6.43914e6i | −0.218249 | − | 0.218249i | ||||
\(310\) | −289932. | + | 947101.i | −0.00973221 | + | 0.0317915i | ||||
\(311\) | 6.41019e6 | 0.213103 | 0.106552 | − | 0.994307i | \(-0.466019\pi\) | ||||
0.106552 | + | 0.994307i | \(0.466019\pi\) | |||||||
\(312\) | 638803. | − | 6.01508e6i | 0.0210331 | − | 0.198051i | ||||
\(313\) | 4.05196e7i | 1.32139i | 0.750654 | + | 0.660696i | \(0.229739\pi\) | ||||
−0.750654 | + | 0.660696i | \(0.770261\pi\) | |||||||
\(314\) | −2.68070e6 | + | 8.75685e6i | −0.0865883 | + | 0.282852i | ||||
\(315\) | 1.66492e7 | − | 1.66492e7i | 0.532675 | − | 0.532675i | ||||
\(316\) | 1.54811e7 | + | 1.04585e7i | 0.490616 | + | 0.331441i | ||||
\(317\) | 1.45001e7 | − | 1.45001e7i | 0.455191 | − | 0.455191i | −0.441882 | − | 0.897073i | \(-0.645689\pi\) |
0.897073 | + | 0.441882i | \(0.145689\pi\) | |||||||
\(318\) | 4.57131e6 | + | 8.60489e6i | 0.142154 | + | 0.267586i | ||||
\(319\) | 1.27594e7i | 0.393059i | ||||||||
\(320\) | −9.38612e6 | − | 1.45222e7i | −0.286442 | − | 0.443182i | ||||
\(321\) | −1.71393e7 | −0.518177 | ||||||||
\(322\) | −5.01153e7 | + | 2.66235e7i | −1.50108 | + | 0.797440i | ||||
\(323\) | −8.91675e6 | − | 8.91675e6i | −0.264605 | − | 0.264605i | ||||
\(324\) | −6.23294e6 | + | 9.22632e6i | −0.183256 | + | 0.271265i | ||||
\(325\) | −7.06079e6 | − | 7.06079e6i | −0.205685 | − | 0.205685i | ||||
\(326\) | −3.55586e7 | − | 1.08854e7i | −1.02634 | − | 0.314189i | ||||
\(327\) | −7.80695e6 | −0.223274 | ||||||||
\(328\) | −2.95557e7 | − | 3.13883e6i | −0.837568 | − | 0.0889499i | ||||
\(329\) | − | 9.82888e7i | − | 2.76005i | ||||||
\(330\) | 2.47528e6 | + | 757747.i | 0.0688783 | + | 0.0210854i | ||||
\(331\) | −3.64653e7 | + | 3.64653e7i | −1.00553 | + | 1.00553i | −0.00554753 | + | 0.999985i | \(0.501766\pi\) |
−0.999985 | + | 0.00554753i | \(0.998234\pi\) | |||||||
\(332\) | 1.77089e7 | − | 3.42899e6i | 0.483925 | − | 0.0937025i | ||||
\(333\) | −3.43512e7 | + | 3.43512e7i | −0.930271 | + | 0.930271i | ||||
\(334\) | 2.24479e7 | − | 1.19254e7i | 0.602472 | − | 0.320061i | ||||
\(335\) | − | 5.00892e6i | − | 0.133232i | ||||||
\(336\) | −1.38753e7 | + | 3.25572e7i | −0.365783 | + | 0.858279i | ||||
\(337\) | −3.24205e7 | −0.847091 | −0.423545 | − | 0.905875i | \(-0.639215\pi\) | ||||
−0.423545 | + | 0.905875i | \(0.639215\pi\) | |||||||
\(338\) | −1.51718e7 | − | 2.85589e7i | −0.392905 | − | 0.739590i | ||||
\(339\) | 2.10065e7 | + | 2.10065e7i | 0.539205 | + | 0.539205i | ||||
\(340\) | −6.24807e6 | + | 1.20982e6i | −0.158968 | + | 0.0307810i | ||||
\(341\) | −488122. | − | 488122.i | −0.0123102 | − | 0.0123102i | ||||
\(342\) | −1.07945e7 | + | 3.52616e7i | −0.269851 | + | 0.881503i | ||||
\(343\) | 1.19369e8 | 2.95809 | ||||||||
\(344\) | −2.62633e6 | − | 3.25045e6i | −0.0645170 | − | 0.0798487i | ||||
\(345\) | − | 9.63528e6i | − | 0.234643i | ||||||
\(346\) | −8.82001e6 | + | 2.88117e7i | −0.212932 | + | 0.695570i | ||||
\(347\) | 1.34860e7 | − | 1.34860e7i | 0.322772 | − | 0.322772i | −0.527058 | − | 0.849829i | \(-0.676705\pi\) |
0.849829 | + | 0.527058i | \(0.176705\pi\) | |||||||
\(348\) | 1.65798e7 | − | 2.45423e7i | 0.393407 | − | 0.582342i | ||||
\(349\) | 3.44786e7 | − | 3.44786e7i | 0.811098 | − | 0.811098i | −0.173701 | − | 0.984798i | \(-0.555573\pi\) |
0.984798 | + | 0.173701i | \(0.0555726\pi\) | |||||||
\(350\) | 2.74090e7 | + | 5.15938e7i | 0.639276 | + | 1.20335i | ||||
\(351\) | 1.51231e7i | 0.349720i | ||||||||
\(352\) | 1.20071e7 | − | 1.02863e6i | 0.275302 | − | 0.0235847i | ||||
\(353\) | 4.98234e7 | 1.13268 | 0.566342 | − | 0.824170i | \(-0.308358\pi\) | ||||
0.566342 | + | 0.824170i | \(0.308358\pi\) | |||||||
\(354\) | −2.66136e7 | + | 1.41384e7i | −0.599920 | + | 0.318705i | ||||
\(355\) | −1.37362e7 | − | 1.37362e7i | −0.307030 | − | 0.307030i | ||||
\(356\) | −3.78452e7 | − | 2.55667e7i | −0.838805 | − | 0.566663i | ||||
\(357\) | 9.21043e6 | + | 9.21043e6i | 0.202430 | + | 0.202430i | ||||
\(358\) | −5.61626e7 | − | 1.71928e7i | −1.22405 | − | 0.374712i | ||||
\(359\) | −5.17087e7 | −1.11758 | −0.558792 | − | 0.829308i | \(-0.688735\pi\) | ||||
−0.558792 | + | 0.829308i | \(0.688735\pi\) | |||||||
\(360\) | 1.16966e7 | + | 1.44762e7i | 0.250699 | + | 0.310275i | ||||
\(361\) | 2.29235e7i | 0.487258i | ||||||||
\(362\) | 4.85030e7 | + | 1.48480e7i | 1.02245 | + | 0.312999i | ||||
\(363\) | 1.54337e7 | − | 1.54337e7i | 0.322663 | − | 0.322663i | ||||
\(364\) | −6.98001e6 | − | 3.60481e7i | −0.144728 | − | 0.747444i | ||||
\(365\) | −2.22147e7 | + | 2.22147e7i | −0.456838 | + | 0.456838i | ||||
\(366\) | −3.02319e7 | + | 1.60606e7i | −0.616627 | + | 0.327580i | ||||
\(367\) | − | 6.17256e7i | − | 1.24873i | −0.781135 | − | 0.624363i | \(-0.785359\pi\) | ||
0.781135 | − | 0.624363i | \(-0.214641\pi\) | |||||||
\(368\) | −1.67430e7 | − | 4.16134e7i | −0.335961 | − | 0.835006i | ||||
\(369\) | 3.19902e7 | 0.636704 | ||||||||
\(370\) | 2.18244e7 | + | 4.10815e7i | 0.430860 | + | 0.811037i | ||||
\(371\) | 4.18225e7 | + | 4.18225e7i | 0.819009 | + | 0.819009i | ||||
\(372\) | 304613. | + | 1.57316e6i | 0.00591724 | + | 0.0305594i | ||||
\(373\) | −2.24042e7 | − | 2.24042e7i | −0.431720 | − | 0.431720i | 0.457493 | − | 0.889213i | \(-0.348747\pi\) |
−0.889213 | + | 0.457493i | \(0.848747\pi\) | |||||||
\(374\) | 1.29832e6 | − | 4.24113e6i | 0.0248180 | − | 0.0810712i | ||||
\(375\) | −2.36672e7 | −0.448801 | ||||||||
\(376\) | 7.72558e7 | + | 8.20459e6i | 1.45334 | + | 0.154345i | ||||
\(377\) | 3.07285e7i | 0.573478i | ||||||||
\(378\) | 2.59001e7 | − | 8.46059e7i | 0.479541 | − | 1.56648i | ||||
\(379\) | −1.89722e7 | + | 1.89722e7i | −0.348498 | + | 0.348498i | −0.859550 | − | 0.511052i | \(-0.829256\pi\) |
0.511052 | + | 0.859550i | \(0.329256\pi\) | |||||||
\(380\) | 2.92609e7 | + | 1.97675e7i | 0.533257 | + | 0.360247i | ||||
\(381\) | 1.07999e7 | − | 1.07999e7i | 0.195273 | − | 0.195273i | ||||
\(382\) | −2.50972e7 | − | 4.72421e7i | −0.450230 | − | 0.847498i | ||||
\(383\) | 1.75005e7i | 0.311498i | 0.987797 | + | 0.155749i | \(0.0497790\pi\) | ||||
−0.987797 | + | 0.155749i | \(0.950221\pi\) | |||||||
\(384\) | −2.44319e7 | − | 1.36237e7i | −0.431484 | − | 0.240604i | ||||
\(385\) | 1.57136e7 | 0.275355 | ||||||||
\(386\) | 3.08709e7 | − | 1.64000e7i | 0.536769 | − | 0.285156i | ||||
\(387\) | 3.18042e6 | + | 3.18042e6i | 0.0548721 | + | 0.0548721i | ||||
\(388\) | −8.50410e6 | + | 1.25882e7i | −0.145590 | + | 0.215511i | ||||
\(389\) | −4.09463e7 | − | 4.09463e7i | −0.695610 | − | 0.695610i | 0.267850 | − | 0.963461i | \(-0.413687\pi\) |
−0.963461 | + | 0.267850i | \(0.913687\pi\) | |||||||
\(390\) | 5.96123e6 | + | 1.82489e6i | 0.100494 | + | 0.0307639i | ||||
\(391\) | −1.65090e7 | −0.276179 | ||||||||
\(392\) | −1.63256e7 | + | 1.53725e8i | −0.271026 | + | 2.55203i | ||||
\(393\) | 4.20839e7i | 0.693328i | ||||||||
\(394\) | 7.43494e7 | + | 2.27603e7i | 1.21560 | + | 0.372125i | ||||
\(395\) | −1.36156e7 | + | 1.36156e7i | −0.220925 | + | 0.220925i | ||||
\(396\) | −1.27342e7 | + | 2.46574e6i | −0.205063 | + | 0.0397065i | ||||
\(397\) | 1.82356e7 | − | 1.82356e7i | 0.291439 | − | 0.291439i | −0.546209 | − | 0.837649i | \(-0.683930\pi\) |
0.837649 | + | 0.546209i | \(0.183930\pi\) | |||||||
\(398\) | −3.31960e7 | + | 1.76352e7i | −0.526546 | + | 0.279725i | ||||
\(399\) | − | 7.22739e7i | − | 1.13779i | ||||||
\(400\) | −4.28410e7 | + | 1.72369e7i | −0.669391 | + | 0.269327i | ||||
\(401\) | 3.03064e7 | 0.470004 | 0.235002 | − | 0.971995i | \(-0.424490\pi\) | ||||
0.235002 | + | 0.971995i | \(0.424490\pi\) | |||||||
\(402\) | −3.80169e6 | − | 7.15618e6i | −0.0585193 | − | 0.110155i | ||||
\(403\) | −1.17555e6 | − | 1.17555e6i | −0.0179607 | − | 0.0179607i | ||||
\(404\) | 4.93814e6 | − | 956174.i | 0.0748892 | − | 0.0145008i | ||||
\(405\) | −8.11451e6 | − | 8.11451e6i | −0.122151 | − | 0.122151i | ||||
\(406\) | 5.26260e7 | − | 1.71910e8i | 0.786361 | − | 2.56875i | ||||
\(407\) | −3.24207e7 | −0.480883 | ||||||||
\(408\) | −8.00830e6 | + | 6.47063e6i | −0.117912 | + | 0.0952722i | ||||
\(409\) | 2.93910e7i | 0.429580i | 0.976660 | + | 0.214790i | \(0.0689068\pi\) | ||||
−0.976660 | + | 0.214790i | \(0.931093\pi\) | |||||||
\(410\) | 8.96677e6 | − | 2.92911e7i | 0.130102 | − | 0.424996i | ||||
\(411\) | −1.56671e7 | + | 1.56671e7i | −0.225664 | + | 0.225664i | ||||
\(412\) | 2.44585e7 | − | 3.62048e7i | 0.349734 | − | 0.517695i | ||||
\(413\) | −1.29350e8 | + | 1.29350e8i | −1.83619 | + | 1.83619i | ||||
\(414\) | 2.26500e7 | + | 4.26356e7i | 0.319203 | + | 0.600857i | ||||
\(415\) | 1.85907e7i | 0.260106i | ||||||||
\(416\) | 2.89167e7 | − | 2.47725e6i | 0.401670 | − | 0.0344105i | ||||
\(417\) | 3.36405e7 | 0.463932 | ||||||||
\(418\) | −2.17339e7 | + | 1.15461e7i | −0.297584 | + | 0.158090i | ||||
\(419\) | −6.77130e7 | − | 6.77130e7i | −0.920513 | − | 0.920513i | 0.0765522 | − | 0.997066i | \(-0.475609\pi\) |
−0.997066 | + | 0.0765522i | \(0.975609\pi\) | |||||||
\(420\) | −3.02246e7 | − | 2.04185e7i | −0.407955 | − | 0.275599i | ||||
\(421\) | 5.22594e6 | + | 5.22594e6i | 0.0700354 | + | 0.0700354i | 0.741257 | − | 0.671221i | \(-0.234230\pi\) |
−0.671221 | + | 0.741257i | \(0.734230\pi\) | |||||||
\(422\) | 7.04021e6 | + | 2.15519e6i | 0.0936804 | + | 0.0286780i | ||||
\(423\) | −8.36193e7 | −1.10480 | ||||||||
\(424\) | −3.63639e7 | + | 2.93817e7i | −0.477060 | + | 0.385460i | ||||
\(425\) | 1.69961e7i | 0.221402i | ||||||||
\(426\) | −3.00502e7 | − | 9.19914e6i | −0.388703 | − | 0.118992i | ||||
\(427\) | −1.46937e8 | + | 1.46937e8i | −1.88733 | + | 1.88733i | ||||
\(428\) | −1.56327e7 | − | 8.07348e7i | −0.199390 | − | 1.02974i | ||||
\(429\) | −3.07233e6 | + | 3.07233e6i | −0.0389131 | + | 0.0389131i | ||||
\(430\) | 3.80355e6 | − | 2.02062e6i | 0.0478392 | − | 0.0254144i | ||||
\(431\) | − | 1.23404e8i | − | 1.54134i | −0.637237 | − | 0.770668i | \(-0.719923\pi\) | ||
0.637237 | − | 0.770668i | \(-0.280077\pi\) | |||||||
\(432\) | 6.43389e7 | + | 2.74201e7i | 0.798036 | + | 0.340108i | ||||
\(433\) | 1.19816e8 | 1.47587 | 0.737937 | − | 0.674869i | \(-0.235800\pi\) | ||||
0.737937 | + | 0.674869i | \(0.235800\pi\) | |||||||
\(434\) | 4.56330e6 | + | 8.58981e6i | 0.0558226 | + | 0.105079i | ||||
\(435\) | 2.15849e7 | + | 2.15849e7i | 0.262229 | + | 0.262229i | ||||
\(436\) | −7.12071e6 | − | 3.67747e7i | −0.0859139 | − | 0.443700i | ||||
\(437\) | 6.47728e7 | + | 6.47728e7i | 0.776155 | + | 0.776155i | ||||
\(438\) | −1.48773e7 | + | 4.85985e7i | −0.177052 | + | 0.578363i | ||||
\(439\) | 9.07146e7 | 1.07222 | 0.536109 | − | 0.844148i | \(-0.319893\pi\) | ||||
0.536109 | + | 0.844148i | \(0.319893\pi\) | |||||||
\(440\) | −1.31168e6 | + | 1.23510e7i | −0.0153982 | + | 0.144992i | ||||
\(441\) | − | 1.66387e8i | − | 1.94001i | ||||||
\(442\) | 3.12675e6 | − | 1.02139e7i | 0.0362098 | − | 0.118284i | ||||
\(443\) | 1.14367e8 | − | 1.14367e8i | 1.31550 | − | 1.31550i | 0.398205 | − | 0.917296i | \(-0.369633\pi\) |
0.917296 | − | 0.398205i | \(-0.130367\pi\) | |||||||
\(444\) | 6.23604e7 | + | 4.21282e7i | 0.712459 | + | 0.481309i | ||||
\(445\) | 3.32847e7 | − | 3.32847e7i | 0.377715 | − | 0.377715i | ||||
\(446\) | 1.54021e7 | + | 2.89924e7i | 0.173610 | + | 0.326798i | ||||
\(447\) | 1.32430e7i | 0.148273i | ||||||||
\(448\) | −1.66016e8 | − | 3.56642e7i | −1.84636 | − | 0.396642i | ||||
\(449\) | −3.25572e7 | −0.359673 | −0.179836 | − | 0.983697i | \(-0.557557\pi\) | ||||
−0.179836 | + | 0.983697i | \(0.557557\pi\) | |||||||
\(450\) | 4.38934e7 | − | 2.33182e7i | 0.481683 | − | 0.255892i | ||||
\(451\) | 1.50962e7 | + | 1.50962e7i | 0.164565 | + | 0.164565i | ||||
\(452\) | −7.97912e7 | + | 1.18111e8i | −0.864051 | + | 1.27901i | ||||
\(453\) | −7.28236e6 | − | 7.28236e6i | −0.0783389 | − | 0.0783389i | ||||
\(454\) | −9.89806e7 | − | 3.03005e7i | −1.05775 | − | 0.323804i | ||||
\(455\) | 3.78430e7 | 0.401746 | ||||||||
\(456\) | 5.68078e7 | + | 6.03301e6i | 0.599120 | + | 0.0636267i | ||||
\(457\) | 1.26635e8i | 1.32680i | 0.748267 | + | 0.663398i | \(0.230886\pi\) | ||||
−0.748267 | + | 0.663398i | \(0.769114\pi\) | |||||||
\(458\) | 1.08749e8 | + | 3.32910e7i | 1.13196 | + | 0.346522i | ||||
\(459\) | 1.82015e7 | − | 1.82015e7i | 0.188221 | − | 0.188221i | ||||
\(460\) | 4.53871e7 | − | 8.78832e6i | 0.466293 | − | 0.0902885i | ||||
\(461\) | 8.58153e7 | − | 8.58153e7i | 0.875915 | − | 0.875915i | −0.117194 | − | 0.993109i | \(-0.537390\pi\) |
0.993109 | + | 0.117194i | \(0.0373899\pi\) | |||||||
\(462\) | 2.24497e7 | − | 1.19263e7i | 0.227659 | − | 0.120943i | ||||
\(463\) | 5.28474e7i | 0.532452i | 0.963911 | + | 0.266226i | \(0.0857768\pi\) | ||||
−0.963911 | + | 0.266226i | \(0.914223\pi\) | |||||||
\(464\) | 1.30729e8 | + | 5.57144e7i | 1.30864 | + | 0.557717i | ||||
\(465\) | −1.65150e6 | −0.0164255 | ||||||||
\(466\) | −9.01582e6 | − | 1.69711e7i | −0.0890938 | − | 0.167707i | ||||
\(467\) | 1.01218e8 | + | 1.01218e8i | 0.993821 | + | 0.993821i | 0.999981 | − | 0.00615974i | \(-0.00196072\pi\) |
−0.00615974 | + | 0.999981i | \(0.501961\pi\) | |||||||
\(468\) | −3.06679e7 | + | 5.93825e6i | −0.299190 | + | 0.0579323i | ||||
\(469\) | −3.47814e7 | − | 3.47814e7i | −0.337154 | − | 0.337154i | ||||
\(470\) | −2.34383e7 | + | 7.65641e7i | −0.225752 | + | 0.737449i | ||||
\(471\) | −1.52697e7 | −0.146139 | ||||||||
\(472\) | −9.08730e7 | − | 1.12468e8i | −0.864189 | − | 1.06955i | ||||
\(473\) | 3.00169e6i | 0.0283650i | ||||||||
\(474\) | −9.11840e6 | + | 2.97864e7i | −0.0856216 | + | 0.279694i | ||||
\(475\) | 6.66837e7 | − | 6.66837e7i | 0.622213 | − | 0.622213i | ||||
\(476\) | −3.49850e7 | + | 5.17866e7i | −0.324385 | + | 0.480172i | ||||
\(477\) | 3.55805e7 | − | 3.55805e7i | 0.327837 | − | 0.327837i | ||||
\(478\) | 1.83221e7 | + | 3.44889e7i | 0.167761 | + | 0.315788i | ||||
\(479\) | 1.70178e7i | 0.154845i | 0.996998 | + | 0.0774223i | \(0.0246690\pi\) | ||||
−0.996998 | + | 0.0774223i | \(0.975331\pi\) | |||||||
\(480\) | 1.85721e7 | − | 2.20523e7i | 0.167934 | − | 0.199403i | ||||
\(481\) | −7.80790e7 | −0.701615 | ||||||||
\(482\) | −1.00640e8 | + | 5.34648e7i | −0.898734 | + | 0.477449i | ||||
\(483\) | −6.69062e7 | − | 6.69062e7i | −0.593779 | − | 0.593779i | ||||
\(484\) | 8.67775e7 | + | 5.86234e7i | 0.765369 | + | 0.517053i | ||||
\(485\) | −1.10713e7 | − | 1.10713e7i | −0.0970448 | − | 0.0970448i | ||||
\(486\) | −1.12970e8 | − | 3.45831e7i | −0.984136 | − | 0.301269i | ||||
\(487\) | 4.54795e7 | 0.393758 | 0.196879 | − | 0.980428i | \(-0.436919\pi\) | ||||
0.196879 | + | 0.980428i | \(0.436919\pi\) | |||||||
\(488\) | −1.03228e8 | − | 1.27759e8i | −0.888256 | − | 1.09934i | ||||
\(489\) | − | 6.20048e7i | − | 0.530272i | ||||||
\(490\) | −1.52349e8 | − | 4.66378e7i | −1.29494 | − | 0.396415i | ||||
\(491\) | −6.79748e7 | + | 6.79748e7i | −0.574254 | + | 0.574254i | −0.933314 | − | 0.359061i | \(-0.883097\pi\) |
0.359061 | + | 0.933314i | \(0.383097\pi\) | |||||||
\(492\) | −9.42079e6 | − | 4.86535e7i | −0.0791028 | − | 0.408525i | ||||
\(493\) | 3.69834e7 | − | 3.69834e7i | 0.308650 | − | 0.308650i | ||||
\(494\) | −5.23419e7 | + | 2.78064e7i | −0.434179 | + | 0.230656i | ||||
\(495\) | − | 1.33683e7i | − | 0.110220i | ||||||
\(496\) | −7.13257e6 | + | 2.86976e6i | −0.0584522 | + | 0.0235180i | ||||
\(497\) | −1.90764e8 | −1.55392 | ||||||||
\(498\) | 1.41100e7 | + | 2.65603e7i | 0.114246 | + | 0.215052i | ||||
\(499\) | −7.37425e7 | − | 7.37425e7i | −0.593494 | − | 0.593494i | 0.345079 | − | 0.938573i | \(-0.387852\pi\) |
−0.938573 | + | 0.345079i | \(0.887852\pi\) | |||||||
\(500\) | −2.15869e7 | − | 1.11485e8i | −0.172695 | − | 0.891878i | ||||
\(501\) | 2.99690e7 | + | 2.99690e7i | 0.238319 | + | 0.238319i | ||||
\(502\) | −4.37960e6 | + | 1.43065e7i | −0.0346197 | + | 0.113090i | ||||
\(503\) | 9.21484e7 | 0.724076 | 0.362038 | − | 0.932163i | \(-0.382081\pi\) | ||||
0.362038 | + | 0.932163i | \(0.382081\pi\) | |||||||
\(504\) | 1.81741e8 | + | 1.93009e7i | 1.41958 | + | 0.150760i | ||||
\(505\) | 5.18402e6i | 0.0402525i | ||||||||
\(506\) | −9.43122e6 | + | 3.08083e7i | −0.0727975 | + | 0.237803i | ||||
\(507\) | 3.81274e7 | − | 3.81274e7i | 0.292559 | − | 0.292559i | ||||
\(508\) | 6.07233e7 | + | 4.10223e7i | 0.463196 | + | 0.312917i | ||||
\(509\) | −1.40774e8 | + | 1.40774e8i | −1.06750 | + | 1.06750i | −0.0699519 | + | 0.997550i | \(0.522285\pi\) |
−0.997550 | + | 0.0699519i | \(0.977715\pi\) | |||||||
\(510\) | −4.97831e6 | − | 9.37100e6i | −0.0375294 | − | 0.0706440i | ||||
\(511\) | 3.08513e8i | 2.31212i | ||||||||
\(512\) | 4.18904e7 | − | 1.27513e8i | 0.312108 | − | 0.950047i | ||||
\(513\) | −1.42826e8 | −1.05793 | ||||||||
\(514\) | −3.24495e7 | + | 1.72387e7i | −0.238957 | + | 0.126945i | ||||
\(515\) | 3.18419e7 | + | 3.18419e7i | 0.233119 | + | 0.233119i | ||||
\(516\) | 3.90046e6 | − | 5.77367e6i | 0.0283901 | − | 0.0420245i | ||||
\(517\) | −3.94600e7 | − | 3.94600e7i | −0.285552 | − | 0.285552i | ||||
\(518\) | 4.36811e8 | + | 1.33719e8i | 3.14271 | + | 0.962064i | ||||
\(519\) | −5.02401e7 | −0.359376 | ||||||||
\(520\) | −3.15892e6 | + | 2.97449e7i | −0.0224661 | + | 0.211545i | ||||
\(521\) | − | 1.20829e8i | − | 0.854390i | −0.904159 | − | 0.427195i | \(-0.859502\pi\) | ||
0.904159 | − | 0.427195i | \(-0.140498\pi\) | |||||||
\(522\) | −1.46252e8 | − | 4.47716e7i | −1.02823 | − | 0.314768i | ||||
\(523\) | 5.99028e7 | − | 5.99028e7i | 0.418738 | − | 0.418738i | −0.466031 | − | 0.884769i | \(-0.654316\pi\) |
0.884769 | + | 0.466031i | \(0.154316\pi\) | |||||||
\(524\) | −1.98237e8 | + | 3.83847e7i | −1.37781 | + | 0.266787i | ||||
\(525\) | −6.88800e7 | + | 6.88800e7i | −0.476009 | + | 0.476009i | ||||
\(526\) | 1.13469e8 | − | 6.02800e7i | 0.779687 | − | 0.414206i | ||||
\(527\) | 2.82966e6i | 0.0193332i | ||||||||
\(528\) | 7.50022e6 | + | 1.86412e7i | 0.0509533 | + | 0.126640i | ||||
\(529\) | −2.81114e7 | −0.189896 | ||||||||
\(530\) | −2.26054e7 | − | 4.25517e7i | −0.151839 | − | 0.285818i | ||||
\(531\) | 1.10045e8 | + | 1.10045e8i | 0.734999 | + | 0.734999i | ||||
\(532\) | 3.40447e8 | − | 6.59209e7i | 2.26107 | − | 0.437812i | ||||
\(533\) | 3.63562e7 | + | 3.63562e7i | 0.240103 | + | 0.240103i | ||||
\(534\) | 2.22908e7 | − | 7.28159e7i | 0.146387 | − | 0.478192i | ||||
\(535\) | 8.47548e7 | 0.553481 | ||||||||
\(536\) | 3.02418e7 | − | 2.44351e7i | 0.196387 | − | 0.158679i | ||||
\(537\) | − | 9.79329e7i | − | 0.632420i | ||||||
\(538\) | −3.34049e7 | + | 1.09122e8i | −0.214518 | + | 0.700751i | ||||
\(539\) | 7.85181e7 | − | 7.85181e7i | 0.501422 | − | 0.501422i | ||||
\(540\) | −4.03508e7 | + | 5.97294e7i | −0.256254 | + | 0.379321i | ||||
\(541\) | 1.29579e8 | − | 1.29579e8i | 0.818354 | − | 0.818354i | −0.167515 | − | 0.985870i | \(-0.553574\pi\) |
0.985870 | + | 0.167515i | \(0.0535743\pi\) | |||||||
\(542\) | −2.49003e7 | − | 4.68714e7i | −0.156389 | − | 0.294381i | ||||
\(543\) | 8.45766e7i | 0.528263i | ||||||||
\(544\) | −3.77843e7 | − | 3.18213e7i | −0.234701 | − | 0.197661i | ||||
\(545\) | 3.86058e7 | 0.238486 | ||||||||
\(546\) | 5.40658e7 | − | 2.87223e7i | 0.332158 | − | 0.176458i | ||||
\(547\) | −1.60668e8 | − | 1.60668e8i | −0.981674 | − | 0.981674i | 0.0181616 | − | 0.999835i | \(-0.494219\pi\) |
−0.999835 | + | 0.0181616i | \(0.994219\pi\) | |||||||
\(548\) | −8.80898e7 | − | 5.95100e7i | −0.535284 | − | 0.361616i | ||||
\(549\) | 1.25007e8 | + | 1.25007e8i | 0.755468 | + | 0.755468i | ||||
\(550\) | 3.17172e7 | + | 9.70946e6i | 0.190637 | + | 0.0583589i | ||||
\(551\) | −2.90207e8 | −1.73481 | ||||||||
\(552\) | 5.81737e7 | − | 4.70038e7i | 0.345867 | − | 0.279458i | ||||
\(553\) | 1.89090e8i | 1.11813i | ||||||||
\(554\) | 5.60172e6 | + | 1.71483e6i | 0.0329452 | + | 0.0100854i | ||||
\(555\) | −5.48457e7 | + | 5.48457e7i | −0.320821 | + | 0.320821i | ||||
\(556\) | 3.06835e7 | + | 1.58464e8i | 0.178517 | + | 0.921948i | ||||
\(557\) | 1.18841e8 | − | 1.18841e8i | 0.687701 | − | 0.687701i | −0.274023 | − | 0.961723i | \(-0.588354\pi\) |
0.961723 | + | 0.274023i | \(0.0883543\pi\) | |||||||
\(558\) | 7.30778e6 | − | 3.88223e6i | 0.0420613 | − | 0.0223449i | ||||
\(559\) | 7.22898e6i | 0.0413849i | ||||||||
\(560\) | 6.86140e7 | − | 1.60997e8i | 0.390704 | − | 0.916756i | ||||
\(561\) | 7.39542e6 | 0.0418865 | ||||||||
\(562\) | −3.27640e6 | − | 6.16739e6i | −0.0184581 | − | 0.0347450i | ||||
\(563\) | −6.62416e7 | − | 6.62416e7i | −0.371198 | − | 0.371198i | 0.496716 | − | 0.867913i | \(-0.334539\pi\) |
−0.867913 | + | 0.496716i | \(0.834539\pi\) | |||||||
\(564\) | 2.46250e7 | + | 1.27175e8i | 0.137259 | + | 0.708869i | ||||
\(565\) | −1.03878e8 | − | 1.03878e8i | −0.575942 | − | 0.575942i | ||||
\(566\) | −5.90374e7 | + | 1.92853e8i | −0.325595 | + | 1.06360i | ||||
\(567\) | −1.12692e8 | −0.618223 | ||||||||
\(568\) | 1.59239e7 | − | 1.49942e8i | 0.0868970 | − | 0.818237i | ||||
\(569\) | 2.58863e8i | 1.40518i | 0.711593 | + | 0.702592i | \(0.247974\pi\) | ||||
−0.711593 | + | 0.702592i | \(0.752026\pi\) | |||||||
\(570\) | −1.72347e7 | + | 5.62992e7i | −0.0930632 | + | 0.304003i | ||||
\(571\) | −7.06719e6 | + | 7.06719e6i | −0.0379611 | + | 0.0379611i | −0.725833 | − | 0.687871i | \(-0.758545\pi\) |
0.687871 | + | 0.725833i | \(0.258545\pi\) | |||||||
\(572\) | −1.72745e7 | − | 1.16700e7i | −0.0923033 | − | 0.0623564i | ||||
\(573\) | 6.30703e7 | − | 6.30703e7i | 0.335244 | − | 0.335244i | ||||
\(574\) | −1.41130e8 | − | 2.65658e8i | −0.746248 | − | 1.40471i | ||||
\(575\) | − | 1.23462e8i | − | 0.649428i | ||||||
\(576\) | −3.03414e7 | + | 1.41239e8i | −0.158770 | + | 0.739070i | ||||
\(577\) | 1.43515e8 | 0.747085 | 0.373542 | − | 0.927613i | \(-0.378143\pi\) | ||||
0.373542 | + | 0.927613i | \(0.378143\pi\) | |||||||
\(578\) | 1.54474e8 | − | 8.20638e7i | 0.799968 | − | 0.424980i | ||||
\(579\) | 4.12141e7 | + | 4.12141e7i | 0.212329 | + | 0.212329i | ||||
\(580\) | −8.19882e7 | + | 1.21363e8i | −0.420211 | + | 0.622018i | ||||
\(581\) | 1.29091e8 | + | 1.29091e8i | 0.658217 | + | 0.658217i | ||||
\(582\) | −2.42203e7 | − | 7.41446e6i | −0.122860 | − | 0.0376106i | ||||
\(583\) | 3.35810e7 | 0.169468 | ||||||||
\(584\) | −2.42493e8 | − | 2.57529e7i | −1.21748 | − | 0.129297i | ||||
\(585\) | − | 3.21950e7i | − | 0.160813i | ||||||
\(586\) | −1.26661e8 | − | 3.87743e7i | −0.629436 | − | 0.192687i | ||||
\(587\) | 1.93835e8 | − | 1.93835e8i | 0.958337 | − | 0.958337i | −0.0408294 | − | 0.999166i | \(-0.513000\pi\) |
0.999166 | + | 0.0408294i | \(0.0130000\pi\) | |||||||
\(588\) | −2.53056e8 | + | 4.89993e7i | −1.24476 | + | 0.241023i | ||||
\(589\) | 1.11021e7 | − | 1.11021e7i | 0.0543326 | − | 0.0543326i | ||||
\(590\) | 1.31606e8 | − | 6.99150e7i | 0.640794 | − | 0.340419i | ||||
\(591\) | 1.29646e8i | 0.628053i | ||||||||
\(592\) | −1.41567e8 | + | 3.32174e8i | −0.682332 | + | 1.60104i | ||||
\(593\) | −2.25213e8 | −1.08002 | −0.540008 | − | 0.841660i | \(-0.681579\pi\) | ||||
−0.540008 | + | 0.841660i | \(0.681579\pi\) | |||||||
\(594\) | −2.35686e7 | − | 4.43648e7i | −0.112454 | − | 0.211680i | ||||
\(595\) | −4.55461e7 | − | 4.55461e7i | −0.216222 | − | 0.216222i | ||||
\(596\) | −6.23812e7 | + | 1.20789e7i | −0.294656 | + | 0.0570543i | ||||
\(597\) | −4.43182e7 | − | 4.43182e7i | −0.208285 | − | 0.208285i | ||||
\(598\) | −2.27133e7 | + | 7.41958e7i | −0.106213 | + | 0.346957i | ||||
\(599\) | 2.40971e8 | 1.12120 | 0.560602 | − | 0.828085i | \(-0.310570\pi\) | ||||
0.560602 | + | 0.828085i | \(0.310570\pi\) | |||||||
\(600\) | −4.83905e7 | − | 5.98899e7i | −0.224030 | − | 0.277268i | ||||
\(601\) | − | 1.50780e8i | − | 0.694577i | −0.937758 | − | 0.347288i | \(-0.887102\pi\) | ||
0.937758 | − | 0.347288i | \(-0.112898\pi\) | |||||||
\(602\) | 1.23804e7 | − | 4.04423e7i | 0.0567475 | − | 0.185373i | ||||
\(603\) | −2.95903e7 | + | 2.95903e7i | −0.134957 | + | 0.134957i | ||||
\(604\) | 2.76614e7 | − | 4.09459e7i | 0.125535 | − | 0.185823i | ||||
\(605\) | −7.63204e7 | + | 7.63204e7i | −0.344647 | + | 0.344647i | ||||
\(606\) | 3.93459e6 | + | 7.40634e6i | 0.0176800 | + | 0.0332802i | ||||
\(607\) | − | 1.43273e8i | − | 0.640615i | −0.947314 | − | 0.320307i | \(-0.896214\pi\) | ||
0.947314 | − | 0.320307i | \(-0.103786\pi\) | |||||||
\(608\) | 2.33958e7 | + | 2.73096e8i | 0.104094 | + | 1.21508i | ||||
\(609\) | 2.99765e8 | 1.32718 | ||||||||
\(610\) | 1.49499e8 | − | 7.94205e7i | 0.658639 | − | 0.349899i | ||||
\(611\) | −9.50317e7 | − | 9.50317e7i | −0.416625 | − | 0.416625i | ||||
\(612\) | 4.40575e7 | + | 2.97635e7i | 0.192205 | + | 0.129846i | ||||
\(613\) | 1.41675e8 | + | 1.41675e8i | 0.615052 | + | 0.615052i | 0.944258 | − | 0.329206i | \(-0.106781\pi\) |
−0.329206 | + | 0.944258i | \(0.606781\pi\) | |||||||
\(614\) | −1.08178e8 | − | 3.31161e7i | −0.467342 | − | 0.143065i | ||||
\(615\) | 5.10760e7 | 0.219580 | ||||||||
\(616\) | 7.66555e7 | + | 9.48718e7i | 0.327945 | + | 0.405877i | ||||
\(617\) | − | 2.02179e8i | − | 0.860758i | −0.902648 | − | 0.430379i | \(-0.858380\pi\) | ||
0.902648 | − | 0.430379i | \(-0.141620\pi\) | |||||||
\(618\) | 6.96597e7 | + | 2.13246e7i | 0.295132 | + | 0.0903474i | ||||
\(619\) | −2.64754e8 | + | 2.64754e8i | −1.11627 | + | 1.11627i | −0.123991 | + | 0.992283i | \(0.539569\pi\) |
−0.992283 | + | 0.123991i | \(0.960431\pi\) | |||||||
\(620\) | −1.50633e6 | − | 7.77939e6i | −0.00632039 | − | 0.0326415i | ||||
\(621\) | −1.32219e8 | + | 1.32219e8i | −0.552101 | + | 0.552101i | ||||
\(622\) | −4.52876e7 | + | 2.40589e7i | −0.188195 | + | 0.0999779i | ||||
\(623\) | − | 4.62250e8i | − | 1.91167i | ||||||
\(624\) | 1.80628e7 | + | 4.48937e7i | 0.0743415 | + | 0.184770i | ||||
\(625\) | −5.91215e7 | −0.242162 | ||||||||
\(626\) | −1.52079e8 | − | 2.86268e8i | −0.619934 | − | 1.16694i | ||||
\(627\) | −2.90158e7 | − | 2.90158e7i | −0.117715 | − | 0.117715i | ||||
\(628\) | −1.39274e7 | − | 7.19279e7i | −0.0562331 | − | 0.290414i | ||||
\(629\) | 9.39722e7 | + | 9.39722e7i | 0.377613 | + | 0.377613i | ||||
\(630\) | −5.51375e7 | + | 1.80114e8i | −0.220509 | + | 0.720320i | ||||
\(631\) | −7.09583e7 | −0.282433 | −0.141216 | − | 0.989979i | \(-0.545101\pi\) | ||||
−0.141216 | + | 0.989979i | \(0.545101\pi\) | |||||||
\(632\) | −1.48626e8 | − | 1.57841e7i | −0.588768 | − | 0.0625273i | ||||
\(633\) | 1.22763e7i | 0.0484012i | ||||||||
\(634\) | −4.80203e7 | + | 1.56865e8i | −0.188433 | + | 0.615542i | ||||
\(635\) | −5.34059e7 | + | 5.34059e7i | −0.208578 | + | 0.208578i | ||||
\(636\) | −6.45921e7 | − | 4.36359e7i | −0.251078 | − | 0.169618i | ||||
\(637\) | 1.89096e8 | − | 1.89096e8i | 0.731582 | − | 0.731582i | ||||
\(638\) | −4.78888e7 | − | 9.01442e7i | −0.184405 | − | 0.347117i | ||||
\(639\) | 1.62293e8i | 0.622009i | ||||||||
\(640\) | 1.20817e8 | + | 6.73702e7i | 0.460882 | + | 0.256997i | ||||
\(641\) | 4.01929e8 | 1.52607 | 0.763036 | − | 0.646355i | \(-0.223708\pi\) | ||||
0.763036 | + | 0.646355i | \(0.223708\pi\) | |||||||
\(642\) | 1.21088e8 | − | 6.43276e7i | 0.457611 | − | 0.243104i | ||||
\(643\) | 5.01109e7 | + | 5.01109e7i | 0.188495 | + | 0.188495i | 0.795045 | − | 0.606550i | \(-0.207447\pi\) |
−0.606550 | + | 0.795045i | \(0.707447\pi\) | |||||||
\(644\) | 2.54137e8 | − | 3.76187e8i | 0.951504 | − | 1.40847i | ||||
\(645\) | 5.07791e6 | + | 5.07791e6i | 0.0189237 | + | 0.0189237i | ||||
\(646\) | 9.64628e7 | + | 2.95297e7i | 0.357818 | + | 0.109537i | ||||
\(647\) | −4.28809e7 | −0.158326 | −0.0791628 | − | 0.996862i | \(-0.525225\pi\) | ||||
−0.0791628 | + | 0.996862i | \(0.525225\pi\) | |||||||
\(648\) | 9.40690e6 | − | 8.85770e7i | 0.0345718 | − | 0.325534i | ||||
\(649\) | 1.03861e8i | 0.379942i | ||||||||
\(650\) | 7.63847e7 | + | 2.33833e7i | 0.278142 | + | 0.0851464i | ||||
\(651\) | −1.14678e7 | + | 1.14678e7i | −0.0415659 | + | 0.0415659i | ||||
\(652\) | 2.92074e8 | − | 5.65545e7i | 1.05378 | − | 0.204044i | ||||
\(653\) | −3.42700e8 | + | 3.42700e8i | −1.23076 | + | 1.23076i | −0.267091 | + | 0.963671i | \(0.586062\pi\) |
−0.963671 | + | 0.267091i | \(0.913938\pi\) | |||||||
\(654\) | 5.51556e7 | − | 2.93012e7i | 0.197177 | − | 0.104750i | ||||
\(655\) | − | 2.08107e8i | − | 0.740566i | ||||||
\(656\) | 2.20590e8 | − | 8.87535e7i | 0.781401 | − | 0.314394i | ||||
\(657\) | 2.62467e8 | 0.925506 | ||||||||
\(658\) | 3.68900e8 | + | 6.94404e8i | 1.29488 | + | 2.43744i | ||||
\(659\) | 2.86479e8 | + | 2.86479e8i | 1.00101 | + | 1.00101i | 0.999999 | + | 0.00100682i | \(0.000320482\pi\) |
0.00100682 | + | 0.999999i | \(0.499680\pi\) | |||||||
\(660\) | −2.03317e7 | + | 3.93683e6i | −0.0707199 | + | 0.0136935i | ||||
\(661\) | −3.22988e8 | − | 3.22988e8i | −1.11836 | − | 1.11836i | −0.991982 | − | 0.126379i | \(-0.959664\pi\) |
−0.126379 | − | 0.991982i | \(-0.540336\pi\) | |||||||
\(662\) | 1.20763e8 | − | 3.94487e8i | 0.416255 | − | 1.35975i | ||||
\(663\) | 1.78104e7 | 0.0611130 | ||||||||
\(664\) | −1.12243e8 | + | 9.06910e7i | −0.383401 | + | 0.309785i | ||||
\(665\) | 3.57398e8i | 1.21531i | ||||||||
\(666\) | 1.13761e8 | − | 3.71617e8i | 0.385099 | − | 1.25798i | ||||
\(667\) | −2.68654e8 | + | 2.68654e8i | −0.905348 | + | 0.905348i | ||||
\(668\) | −1.13835e8 | + | 1.68504e8i | −0.381896 | + | 0.565302i | ||||
\(669\) | −3.87061e7 | + | 3.87061e7i | −0.129271 | + | 0.129271i | ||||
\(670\) | 1.87996e7 | + | 3.53877e7i | 0.0625064 | + | 0.117660i | ||||
\(671\) | 1.17981e8i | 0.390522i | ||||||||
\(672\) | −2.41663e7 | − | 2.82091e8i | −0.0796348 | − | 0.929569i | ||||
\(673\) | −5.37871e8 | −1.76455 | −0.882273 | − | 0.470738i | \(-0.843988\pi\) | ||||
−0.882273 | + | 0.470738i | \(0.843988\pi\) | |||||||
\(674\) | 2.29049e8 | − | 1.21681e8i | 0.748080 | − | 0.397415i | ||||
\(675\) | 1.36120e8 | + | 1.36120e8i | 0.442598 | + | 0.442598i | ||||
\(676\) | 2.14376e8 | + | 1.44824e8i | 0.693961 | + | 0.468813i | ||||
\(677\) | −4.29706e8 | − | 4.29706e8i | −1.38486 | − | 1.38486i | −0.835756 | − | 0.549101i | \(-0.814970\pi\) |
−0.549101 | − | 0.835756i | \(-0.685030\pi\) | |||||||
\(678\) | −2.27251e8 | − | 6.95674e7i | −0.729150 | − | 0.223212i | ||||
\(679\) | −1.53755e8 | −0.491157 | ||||||||
\(680\) | 3.96015e7 | − | 3.19976e7i | 0.125946 | − | 0.101763i | ||||
\(681\) | − | 1.72596e8i | − | 0.546500i | ||||||
\(682\) | 5.28058e6 | + | 1.61652e6i | 0.0166467 | + | 0.00509598i | ||||
\(683\) | 1.13185e8 | − | 1.13185e8i | 0.355244 | − | 0.355244i | −0.506813 | − | 0.862056i | \(-0.669176\pi\) |
0.862056 | + | 0.506813i | \(0.169176\pi\) | |||||||
\(684\) | −5.60822e7 | − | 2.89635e8i | −0.175250 | − | 0.905072i | ||||
\(685\) | 7.74745e7 | − | 7.74745e7i | 0.241039 | − | 0.241039i | ||||
\(686\) | −8.43337e8 | + | 4.48020e8i | −2.61234 | + | 1.38779i | ||||
\(687\) | 1.89630e8i | 0.584841i | ||||||||
\(688\) | 3.07545e7 | + | 1.31070e7i | 0.0944373 | + | 0.0402474i | ||||
\(689\) | 8.08732e7 | 0.247256 | ||||||||
\(690\) | 3.61633e7 | + | 6.80726e7i | 0.110083 | + | 0.207217i | ||||
\(691\) | 1.55965e8 | + | 1.55965e8i | 0.472707 | + | 0.472707i | 0.902789 | − | 0.430083i | \(-0.141516\pi\) |
−0.430083 | + | 0.902789i | \(0.641516\pi\) | |||||||
\(692\) | −4.58239e7 | − | 2.36657e8i | −0.138285 | − | 0.714168i | ||||
\(693\) | −9.28279e7 | − | 9.28279e7i | −0.278920 | − | 0.278920i | ||||
\(694\) | −4.46619e7 | + | 1.45894e8i | −0.133616 | + | 0.436474i | ||||
\(695\) | −1.66354e8 | −0.495541 | ||||||||
\(696\) | −2.50227e7 | + | 2.35618e8i | −0.0742175 | + | 0.698844i | ||||
\(697\) | − | 8.75133e7i | − | 0.258450i | ||||||
\(698\) | −1.14183e8 | + | 3.72995e8i | −0.335766 | + | 1.09682i | ||||
\(699\) | 2.26572e7 | − | 2.26572e7i | 0.0663398 | − | 0.0663398i | ||||
\(700\) | −3.87285e8 | − | 2.61635e8i | −1.12911 | − | 0.762783i | ||||
\(701\) | −2.01715e8 | + | 2.01715e8i | −0.585577 | + | 0.585577i | −0.936430 | − | 0.350853i | \(-0.885892\pi\) |
0.350853 | + | 0.936430i | \(0.385892\pi\) | |||||||
\(702\) | −5.67605e7 | − | 1.06844e8i | −0.164072 | − | 0.308844i | ||||
\(703\) | − | 7.37396e8i | − | 2.12244i | ||||||
\(704\) | −8.09687e7 | + | 5.23325e7i | −0.232059 | + | 0.149987i | ||||
\(705\) | −1.33508e8 | −0.381013 | ||||||||
\(706\) | −3.51999e8 | + | 1.86998e8i | −1.00029 | + | 0.531402i | ||||
\(707\) | 3.59972e7 | + | 3.59972e7i | 0.101862 | + | 0.101862i | ||||
\(708\) | 1.34959e8 | − | 1.99773e8i | 0.380278 | − | 0.562908i | ||||
\(709\) | −1.65167e8 | − | 1.65167e8i | −0.463430 | − | 0.463430i | 0.436348 | − | 0.899778i | \(-0.356272\pi\) |
−0.899778 | + | 0.436348i | \(0.856272\pi\) | |||||||
\(710\) | 1.48600e8 | + | 4.54903e7i | 0.415187 | + | 0.127099i | ||||
\(711\) | 1.60868e8 | 0.447571 | ||||||||
\(712\) | 3.63332e8 | + | 3.85859e7i | 1.00661 | + | 0.106903i | ||||
\(713\) | − | 2.05552e7i | − | 0.0567091i | ||||||
\(714\) | −9.96399e7 | − | 3.05023e7i | −0.273740 | − | 0.0837989i | ||||
\(715\) | 1.51928e7 | − | 1.51928e7i | 0.0415643 | − | 0.0415643i | ||||
\(716\) | 4.61314e8 | − | 8.93244e7i | 1.25677 | − | 0.243350i | ||||
\(717\) | −4.60442e7 | + | 4.60442e7i | −0.124916 | + | 0.124916i | ||||
\(718\) | 3.65318e8 | − | 1.94074e8i | 0.986957 | − | 0.524317i | ||||
\(719\) | 7.08800e8i | 1.90694i | 0.301488 | + | 0.953470i | \(0.402517\pi\) | ||||
−0.301488 | + | 0.953470i | \(0.597483\pi\) | |||||||
\(720\) | −1.36968e8 | − | 5.83733e7i | −0.366963 | − | 0.156393i | ||||
\(721\) | 4.42213e8 | 1.17985 | ||||||||
\(722\) | −8.60368e7 | − | 1.61953e8i | −0.228598 | − | 0.430306i | ||||
\(723\) | −1.34360e8 | − | 1.34360e8i | −0.355512 | − | 0.355512i | ||||
\(724\) | −3.98399e8 | + | 7.71421e7i | −1.04979 | + | 0.203271i | ||||
\(725\) | 2.76579e8 | + | 2.76579e8i | 0.725781 | + | 0.725781i | ||||
\(726\) | −5.11119e7 | + | 1.66964e8i | −0.133571 | + | 0.436328i | ||||
\(727\) | 5.12736e8 | 1.33441 | 0.667207 | − | 0.744872i | \(-0.267490\pi\) | ||||
0.667207 | + | 0.744872i | \(0.267490\pi\) | |||||||
\(728\) | 1.84610e8 | + | 2.28480e8i | 0.478477 | + | 0.592181i | ||||
\(729\) | − | 7.01628e7i | − | 0.181102i | ||||||
\(730\) | 7.35689e7 | − | 2.40322e8i | 0.189115 | − | 0.617769i | ||||
\(731\) | 8.70046e6 | − | 8.70046e6i | 0.0222736 | − | 0.0222736i | ||||
\(732\) | 1.53308e8 | − | 2.26934e8i | 0.390868 | − | 0.578584i | ||||
\(733\) | −1.48045e8 | + | 1.48045e8i | −0.375909 | + | 0.375909i | −0.869624 | − | 0.493715i | \(-0.835639\pi\) |
0.493715 | + | 0.869624i | \(0.335639\pi\) | |||||||
\(734\) | 2.31670e8 | + | 4.36087e8i | 0.585843 | + | 1.10277i | ||||
\(735\) | − | 2.65656e8i | − | 0.669048i | ||||||
\(736\) | 2.74472e8 | + | 2.31156e8i | 0.688438 | + | 0.579791i | ||||
\(737\) | −2.79273e7 | −0.0697633 | ||||||||
\(738\) | −2.26009e8 | + | 1.20066e8i | −0.562284 | + | 0.298711i | ||||
\(739\) | 1.05650e8 | + | 1.05650e8i | 0.261779 | + | 0.261779i | 0.825776 | − | 0.563998i | \(-0.190737\pi\) |
−0.563998 | + | 0.825776i | \(0.690737\pi\) | |||||||
\(740\) | −3.08376e8 | − | 2.08326e8i | −0.761000 | − | 0.514102i | ||||
\(741\) | −6.98788e7 | − | 6.98788e7i | −0.171748 | − | 0.171748i | ||||
\(742\) | −4.52443e8 | − | 1.38504e8i | −1.10752 | − | 0.339041i | ||||
\(743\) | 5.34342e8 | 1.30273 | 0.651363 | − | 0.758767i | \(-0.274198\pi\) | ||||
0.651363 | + | 0.758767i | \(0.274198\pi\) | |||||||
\(744\) | −8.05650e6 | − | 9.97103e6i | −0.0195627 | − | 0.0242115i | ||||
\(745\) | − | 6.54873e7i | − | 0.158375i | ||||||
\(746\) | 2.42372e8 | + | 7.41962e7i | 0.583802 | + | 0.178717i | ||||
\(747\) | 1.09825e8 | − | 1.09825e8i | 0.263474 | − | 0.263474i | ||||
\(748\) | 6.74535e6 | + | 3.48362e7i | 0.0161176 | + | 0.0832388i | ||||
\(749\) | 5.88527e8 | − | 5.88527e8i | 1.40062 | − | 1.40062i | ||||
\(750\) | 1.67208e8 | − | 8.88284e7i | 0.396344 | − | 0.210556i | ||||
\(751\) | 1.43733e8i | 0.339342i | 0.985501 | + | 0.169671i | \(0.0542705\pi\) | ||||
−0.985501 | + | 0.169671i | \(0.945729\pi\) | |||||||
\(752\) | −5.76601e8 | + | 2.31993e8i | −1.35588 | + | 0.545533i | ||||
\(753\) | −2.49469e7 | −0.0584293 | ||||||||
\(754\) | −1.15331e8 | − | 2.17095e8i | −0.269049 | − | 0.506449i | ||||
\(755\) | 3.60117e7 | + | 3.60117e7i | 0.0836764 | + | 0.0836764i | ||||
\(756\) | 1.34562e8 | + | 6.94944e8i | 0.311428 | + | 1.60836i | ||||
\(757\) | 2.49169e8 | + | 2.49169e8i | 0.574390 | + | 0.574390i | 0.933352 | − | 0.358962i | \(-0.116869\pi\) |
−0.358962 | + | 0.933352i | \(0.616869\pi\) | |||||||
\(758\) | 6.28307e7 | − | 2.05245e8i | 0.144266 | − | 0.471264i | ||||
\(759\) | −5.37216e7 | −0.122864 | ||||||||
\(760\) | −2.80918e8 | − | 2.98336e7i | −0.639939 | − | 0.0679617i | ||||
\(761\) | − | 6.34316e8i | − | 1.43930i | −0.694336 | − | 0.719651i | \(-0.744302\pi\) | ||
0.694336 | − | 0.719651i | \(-0.255698\pi\) | |||||||
\(762\) | −3.57661e7 | + | 1.16835e8i | −0.0808363 | + | 0.264062i | ||||
\(763\) | 2.68074e8 | − | 2.68074e8i | 0.603505 | − | 0.603505i | ||||
\(764\) | 3.54620e8 | + | 2.39567e8i | 0.795212 | + | 0.537214i | ||||
\(765\) | −3.87484e7 | + | 3.87484e7i | −0.0865504 | + | 0.0865504i | ||||
\(766\) | −6.56833e7 | − | 1.23640e8i | −0.146140 | − | 0.275089i | ||||
\(767\) | 2.50128e8i | 0.554340i | ||||||||
\(768\) | 2.23743e8 | + | 4.55243e6i | 0.493931 | + | 0.0100499i | ||||
\(769\) | −1.21386e8 | −0.266925 | −0.133463 | − | 0.991054i | \(-0.542610\pi\) | ||||
−0.133463 | + | 0.991054i | \(0.542610\pi\) | |||||||
\(770\) | −1.11015e8 | + | 5.89764e7i | −0.243170 | + | 0.129183i | ||||
\(771\) | −4.33216e7 | − | 4.33216e7i | −0.0945239 | − | 0.0945239i | ||||
\(772\) | −1.56548e8 | + | 2.31731e8i | −0.340248 | + | 0.503653i | ||||
\(773\) | −4.26822e7 | − | 4.26822e7i | −0.0924077 | − | 0.0924077i | 0.659392 | − | 0.751799i | \(-0.270814\pi\) |
−0.751799 | + | 0.659392i | \(0.770814\pi\) | |||||||
\(774\) | −3.44063e7 | − | 1.05327e7i | −0.0742019 | − | 0.0227151i | ||||
\(775\) | −2.11616e7 | −0.0454614 | ||||||||
\(776\) | 1.28346e7 | − | 1.20853e8i | 0.0274661 | − | 0.258625i | ||||
\(777\) | 7.61683e8i | 1.62372i | ||||||||
\(778\) | 4.42964e8 | + | 1.35603e8i | 0.940653 | + | 0.287958i | ||||
\(779\) | −3.43357e8 | + | 3.43357e8i | −0.726329 | + | 0.726329i | ||||
\(780\) | −4.89649e7 | + | 9.48110e6i | −0.103181 | + | 0.0199790i | ||||
\(781\) | −7.65861e7 | + | 7.65861e7i | −0.160767 | + | 0.160767i | ||||
\(782\) | 1.16635e8 | − | 6.19620e7i | 0.243899 | − | 0.129570i | ||||
\(783\) | − | 5.92391e8i | − | 1.23402i | ||||||
\(784\) | −4.61623e8 | − | 1.14733e9i | −0.957943 | − | 2.38089i | ||||
\(785\) | 7.55093e7 | 0.156096 | ||||||||
\(786\) | −1.57950e8 | − | 2.97320e8i | −0.325276 | − | 0.612290i | ||||
\(787\) | −5.60115e8 | − | 5.60115e8i | −1.14909 | − | 1.14909i | −0.986732 | − | 0.162355i | \(-0.948091\pi\) |
−0.162355 | − | 0.986732i | \(-0.551909\pi\) | |||||||
\(788\) | −6.10698e8 | + | 1.18250e8i | −1.24810 | + | 0.241669i | ||||
\(789\) | 1.51486e8 | + | 1.51486e8i | 0.308420 | + | 0.308420i | ||||
\(790\) | 4.50910e7 | − | 1.47296e8i | 0.0914552 | − | 0.298751i | ||||
\(791\) | −1.44263e9 | −2.91492 | ||||||||
\(792\) | 8.07122e7 | − | 6.52147e7i | 0.162466 | − | 0.131271i | ||||
\(793\) | 2.84135e8i | 0.569778i | ||||||||
\(794\) | −6.03911e7 | + | 1.97275e8i | −0.120646 | + | 0.394104i | ||||
\(795\) | 5.68084e7 | − | 5.68084e7i | 0.113061 | − | 0.113061i | ||||
\(796\) | 1.68339e8 | − | 2.49184e8i | 0.333768 | − | 0.494061i | ||||
\(797\) | 2.63384e8 | − | 2.63384e8i | 0.520253 | − | 0.520253i | −0.397395 | − | 0.917648i | \(-0.630086\pi\) |
0.917648 | + | 0.397395i | \(0.130086\pi\) | |||||||
\(798\) | 2.71260e8 | + | 5.10610e8i | 0.533798 | + | 1.00480i | ||||
\(799\) | 2.28751e8i | 0.448460i | ||||||||
\(800\) | 2.37975e8 | − | 2.82569e8i | 0.464795 | − | 0.551893i | ||||
\(801\) | −3.93259e8 | −0.765211 | ||||||||
\(802\) | −2.14113e8 | + | 1.13747e8i | −0.415068 | + | 0.220503i | ||||
\(803\) | 1.23859e8 | + | 1.23859e8i | 0.239210 | + | 0.239210i | ||||
\(804\) | 5.37175e7 | + | 3.62894e7i | 0.103359 | + | 0.0698251i | ||||
\(805\) | 3.30855e8 | + | 3.30855e8i | 0.634235 | + | 0.634235i | ||||
\(806\) | 1.27172e7 | + | 3.89307e6i | 0.0242878 | + | 0.00743511i | ||||
\(807\) | −1.90279e8 | −0.362052 | ||||||||
\(808\) | −3.12989e7 | + | 2.52892e7i | −0.0593328 | + | 0.0479404i | ||||
\(809\) | 2.56780e7i | 0.0484970i | 0.999706 | + | 0.0242485i | \(0.00771929\pi\) | ||||
−0.999706 | + | 0.0242485i | \(0.992281\pi\) | |||||||
\(810\) | 8.77840e7 | + | 2.68730e7i | 0.165181 | + | 0.0505662i | ||||
\(811\) | 5.67098e8 | − | 5.67098e8i | 1.06315 | − | 1.06315i | 0.0652852 | − | 0.997867i | \(-0.479204\pi\) |
0.997867 | − | 0.0652852i | \(-0.0207957\pi\) | |||||||
\(812\) | 2.73415e8 | + | 1.41205e9i | 0.510687 | + | 2.63743i | ||||
\(813\) | 6.25755e7 | − | 6.25755e7i | 0.116448 | − | 0.116448i | ||||
\(814\) | 2.29050e8 | − | 1.21682e8i | 0.424676 | − | 0.225607i | ||||
\(815\) | 3.06617e8i | 0.566401i | ||||||||
\(816\) | 3.22924e7 | − | 7.57715e7i | 0.0594334 | − | 0.139455i | ||||
\(817\) | −6.82722e7 | −0.125192 | ||||||||
\(818\) | −1.10311e8 | − | 2.07646e8i | −0.201539 | − | 0.379370i | ||||
\(819\) | −2.23558e8 | − | 2.23558e8i | −0.406948 | − | 0.406948i | ||||
\(820\) | 4.65864e7 | + | 2.40594e8i | 0.0844923 | + | 0.436359i | ||||
\(821\) | 5.18326e8 | + | 5.18326e8i | 0.936642 | + | 0.936642i | 0.998109 | − | 0.0614672i | \(-0.0195779\pi\) |
−0.0614672 | + | 0.998109i | \(0.519578\pi\) | |||||||
\(822\) | 5.18849e7 | − | 1.69489e8i | 0.0934169 | − | 0.305159i | ||||
\(823\) | −3.68387e8 | −0.660852 | −0.330426 | − | 0.943832i | \(-0.607192\pi\) | ||||
−0.330426 | + | 0.943832i | \(0.607192\pi\) | |||||||
\(824\) | −3.69134e7 | + | 3.47583e8i | −0.0659785 | + | 0.621264i | ||||
\(825\) | 5.53065e7i | 0.0984950i | ||||||||
\(826\) | 4.28372e8 | − | 1.39933e9i | 0.760118 | − | 2.48303i | ||||
\(827\) | −7.47044e8 | + | 7.47044e8i | −1.32078 | + | 1.32078i | −0.407632 | + | 0.913146i | \(0.633645\pi\) |
−0.913146 | + | 0.407632i | \(0.866355\pi\) | |||||||
\(828\) | −3.20042e8 | − | 2.16207e8i | −0.563787 | − | 0.380872i | ||||
\(829\) | −2.21415e8 | + | 2.21415e8i | −0.388636 | + | 0.388636i | −0.874201 | − | 0.485565i | \(-0.838614\pi\) |
0.485565 | + | 0.874201i | \(0.338614\pi\) | |||||||
\(830\) | −6.97749e7 | − | 1.31342e8i | −0.122030 | − | 0.229704i | ||||
\(831\) | 9.76793e6i | 0.0170216i | ||||||||
\(832\) | −1.94997e8 | + | 1.26033e8i | −0.338578 | + | 0.218833i | ||||
\(833\) | −4.55173e8 | −0.787484 | ||||||||
\(834\) | −2.37668e8 | + | 1.26260e8i | −0.409707 | + | 0.217655i | ||||
\(835\) | −1.48198e8 | − | 1.48198e8i | −0.254556 | − | 0.254556i | ||||
\(836\) | 1.10214e8 | − | 1.63144e8i | 0.188633 | − | 0.279224i | ||||
\(837\) | 2.26625e7 | + | 2.26625e7i | 0.0386483 | + | 0.0386483i | ||||
\(838\) | 7.32530e8 | + | 2.24246e8i | 1.24478 | + | 0.381060i | ||||
\(839\) | 7.96655e8 | 1.34891 | 0.674457 | − | 0.738314i | \(-0.264378\pi\) | ||||
0.674457 | + | 0.738314i | \(0.264378\pi\) | |||||||
\(840\) | 2.90170e8 | + | 3.08162e7i | 0.489570 | + | 0.0519925i | ||||
\(841\) | − | 6.08848e8i | − | 1.02358i | ||||||
\(842\) | −5.65350e7 | − | 1.73068e7i | −0.0947068 | − | 0.0289922i | ||||
\(843\) | 8.23375e6 | − | 8.23375e6i | 0.0137441 | − | 0.0137441i | ||||
\(844\) | −5.78276e7 | + | 1.11972e7i | −0.0961851 | + | 0.0186244i | ||||
\(845\) | −1.88542e8 | + | 1.88542e8i | −0.312492 | + | 0.312492i | ||||
\(846\) | 5.90765e8 | − | 3.13841e8i | 0.975671 | − | 0.518322i | ||||
\(847\) | 1.05992e9i | 1.74430i | ||||||||
\(848\) | 1.46633e8 | − | 3.44062e8i | 0.240460 | − | 0.564221i | ||||
\(849\) | −3.36286e8 | −0.549522 | ||||||||
\(850\) | −6.37900e7 | − | 1.20076e8i | −0.103871 | − | 0.195524i | ||||
\(851\) | −6.82631e8 | − | 6.82631e8i | −1.10764 | − | 1.10764i | ||||
\(852\) | 2.46829e8 | − | 4.77936e7i | 0.399096 | − | 0.0772772i | ||||
\(853\) | 8.87177e6 | + | 8.87177e6i | 0.0142943 | + | 0.0142943i | 0.714218 | − | 0.699924i | \(-0.246783\pi\) |
−0.699924 | + | 0.714218i | \(0.746783\pi\) | |||||||
\(854\) | 4.86613e8 | − | 1.58959e9i | 0.781286 | − | 2.55217i | ||||
\(855\) | 3.04057e8 | 0.486470 | ||||||||
\(856\) | 4.13460e8 | + | 5.11713e8i | 0.659192 | + | 0.815841i | ||||
\(857\) | 9.23287e6i | 0.0146688i | 0.999973 | + | 0.00733439i | \(0.00233463\pi\) | ||||
−0.999973 | + | 0.00733439i | \(0.997665\pi\) | |||||||
\(858\) | 1.01747e7 | − | 3.32369e7i | 0.0161086 | − | 0.0526210i | ||||
\(859\) | 2.99359e8 | − | 2.99359e8i | 0.472294 | − | 0.472294i | −0.430362 | − | 0.902656i | \(-0.641614\pi\) |
0.902656 | + | 0.430362i | \(0.141614\pi\) | |||||||
\(860\) | −1.92880e7 | + | 2.85511e7i | −0.0303244 | + | 0.0448877i | ||||
\(861\) | 3.54666e8 | − | 3.54666e8i | 0.555661 | − | 0.555661i | ||||
\(862\) | 4.63162e8 | + | 8.71842e8i | 0.723122 | + | 1.36118i | ||||
\(863\) | − | 1.67298e8i | − | 0.260290i | −0.991495 | − | 0.130145i | \(-0.958456\pi\) | ||
0.991495 | − | 0.130145i | \(-0.0415443\pi\) | |||||||
\(864\) | −5.57464e8 | + | 4.77571e7i | −0.864322 | + | 0.0740452i | ||||
\(865\) | 2.48440e8 | 0.383861 | ||||||||
\(866\) | −8.46489e8 | + | 4.49694e8i | −1.30337 | + | 0.692410i | ||||
\(867\) | 2.06230e8 | + | 2.06230e8i | 0.316443 | + | 0.316443i | ||||
\(868\) | −6.44789e7 | − | 4.35594e7i | −0.0985958 | − | 0.0666074i | ||||
\(869\) | 7.59139e7 | + | 7.59139e7i | 0.115681 | + | 0.115681i | ||||
\(870\) | −2.33508e8 | − | 7.14830e7i | −0.354605 | − | 0.108554i | ||||
\(871\) | −6.72575e7 | −0.101786 | ||||||||
\(872\) | 1.88331e8 | + | 2.33085e8i | 0.284035 | + | 0.351533i | ||||
\(873\) | 1.30807e8i | 0.196602i | ||||||||
\(874\) | −7.00723e8 | − | 2.14509e8i | −1.04957 | − | 0.321301i | ||||
\(875\) | 8.12683e8 | − | 8.12683e8i | 1.21310 | − | 1.21310i | ||||
\(876\) | −7.72940e7 | − | 3.99183e8i | −0.114983 | − | 0.593827i | ||||
\(877\) | −8.11413e7 | + | 8.11413e7i | −0.120294 | + | 0.120294i | −0.764691 | − | 0.644397i | \(-0.777108\pi\) |
0.644397 | + | 0.764691i | \(0.277108\pi\) | |||||||
\(878\) | −6.40893e8 | + | 3.40472e8i | −0.946895 | + | 0.503034i | ||||
\(879\) | − | 2.20864e8i | − | 0.325206i | ||||||
\(880\) | −3.70890e7 | − | 9.21819e7i | −0.0544248 | − | 0.135269i | ||||
\(881\) | −4.06058e7 | −0.0593827 | −0.0296914 | − | 0.999559i | \(-0.509452\pi\) | ||||
−0.0296914 | + | 0.999559i | \(0.509452\pi\) | |||||||
\(882\) | 6.24487e8 | + | 1.17551e9i | 0.910159 | + | 1.71325i | ||||
\(883\) | 7.93005e7 | + | 7.93005e7i | 0.115184 | + | 0.115184i | 0.762350 | − | 0.647165i | \(-0.224046\pi\) |
−0.647165 | + | 0.762350i | \(0.724046\pi\) | |||||||
\(884\) | 1.62449e7 | + | 8.38962e7i | 0.0235158 | + | 0.121447i | ||||
\(885\) | 1.75700e8 | + | 1.75700e8i | 0.253478 | + | 0.253478i | ||||
\(886\) | −3.78753e8 | + | 1.23725e9i | −0.544571 | + | 1.77891i | ||||
\(887\) | 4.93378e8 | 0.706983 | 0.353491 | − | 0.935438i | \(-0.384994\pi\) | ||||
0.353491 | + | 0.935438i | \(0.384994\pi\) | |||||||
\(888\) | −5.98689e8 | − | 6.35809e7i | −0.854992 | − | 0.0908004i | ||||
\(889\) | 7.41688e8i | 1.05564i | ||||||||
\(890\) | −1.10229e8 | + | 3.60079e8i | −0.156361 | + | 0.510773i | ||||
\(891\) | −4.52425e7 | + | 4.52425e7i | −0.0639608 | + | 0.0639608i | ||||
\(892\) | −2.17629e8 | − | 1.47022e8i | −0.306636 | − | 0.207151i | ||||
\(893\) | 8.97502e8 | − | 8.97502e8i | 1.26032 | − | 1.26032i | ||||
\(894\) | −4.97038e7 | − | 9.35608e7i | −0.0695628 | − | 0.130943i | ||||
\(895\) | 4.84284e8i | 0.675508i | ||||||||
\(896\) | 1.30675e9 | − | 3.71131e8i | 1.81664 | − | 0.515944i | ||||
\(897\) | −1.29378e8 | −0.179260 | ||||||||
\(898\) | 2.30014e8 | − | 1.22194e8i | 0.317633 | − | 0.168741i | ||||
\(899\) | 4.60475e7 | + | 4.60475e7i | 0.0633763 | + | 0.0633763i | ||||
\(900\) | −2.22586e8 | + | 3.29483e8i | −0.305330 | + | 0.451966i | ||||
\(901\) | −9.73352e7 | − | 9.73352e7i | −0.133075 | − | 0.133075i | ||||
\(902\) | −1.63313e8 | − | 4.99943e7i | −0.222536 | − | 0.0681242i | ||||
\(903\) | 7.05208e7 | 0.0957754 | ||||||||
\(904\) | 1.20423e8 | − | 1.13392e9i | 0.163006 | − | 1.53489i | ||||
\(905\) | − | 4.18236e8i | − | 0.564255i | ||||||
\(906\) | 7.87817e7 | + | 2.41171e7i | 0.105935 | + | 0.0324296i | ||||
\(907\) | 6.47306e7 | − | 6.47306e7i | 0.0867536 | − | 0.0867536i | −0.662398 | − | 0.749152i | \(-0.730461\pi\) |
0.749152 | + | 0.662398i | \(0.230461\pi\) | |||||||
\(908\) | 8.13017e8 | − | 1.57425e8i | 1.08603 | − | 0.210288i | ||||
\(909\) | 3.06246e7 | − | 3.06246e7i | 0.0407736 | − | 0.0407736i | ||||
\(910\) | −2.67359e8 | + | 1.42033e8i | −0.354789 | + | 0.188480i | ||||
\(911\) | − | 1.45778e8i | − | 0.192813i | −0.995342 | − | 0.0964065i | \(-0.969265\pi\) | ||
0.995342 | − | 0.0964065i | \(-0.0307349\pi\) | |||||||
\(912\) | −4.23987e8 | + | 1.70589e8i | −0.558943 | + | 0.224889i | ||||
\(913\) | 1.03653e8 | 0.136197 | ||||||||
\(914\) | −4.75288e8 | − | 8.94666e8i | −0.622469 | − | 1.17172i | ||||
\(915\) | 1.99587e8 | + | 1.99587e8i | 0.260537 | + | 0.260537i | ||||
\(916\) | −8.93256e8 | + | 1.72962e8i | −1.16222 | + | 0.225042i | ||||
\(917\) | −1.44507e9 | − | 1.44507e9i | −1.87405 | − | 1.87405i | ||||
\(918\) | −6.02782e7 | + | 1.96907e8i | −0.0779170 | + | 0.254526i | ||||
\(919\) | −7.81393e8 | −1.00675 | −0.503376 | − | 0.864067i | \(-0.667909\pi\) | ||||
−0.503376 | + | 0.864067i | \(0.667909\pi\) | |||||||
\(920\) | −2.87672e8 | + | 2.32437e8i | −0.369432 | + | 0.298498i | ||||
\(921\) | − | 1.88634e8i | − | 0.241458i | ||||||
\(922\) | −2.84196e8 | + | 9.28363e8i | −0.362598 | + | 1.18447i | ||||
\(923\) | −1.84443e8 | + | 1.84443e8i | −0.234561 | + | 0.234561i | ||||
\(924\) | −1.13844e8 | + | 1.68518e8i | −0.144309 | + | 0.213614i | ||||
\(925\) | −7.02769e8 | + | 7.02769e8i | −0.887948 | + | 0.887948i | ||||
\(926\) | −1.98348e8 | − | 3.73364e8i | −0.249801 | − | 0.470218i | ||||
\(927\) | − | 3.76213e8i | − | 0.472274i | ||||||
\(928\) | −1.13270e9 | + | 9.70369e7i | −1.41733 | + | 0.121421i | ||||
\(929\) | 2.80896e8 | 0.350347 | 0.175173 | − | 0.984538i | \(-0.443951\pi\) | ||||
0.175173 | + | 0.984538i | \(0.443951\pi\) | |||||||
\(930\) | 1.16677e7 | − | 6.19843e6i | 0.0145056 | − | 0.00770607i | ||||
\(931\) | 1.78586e9 | + | 1.78586e9i | 2.21309 | + | 2.21309i | ||||
\(932\) | 1.27392e8 | + | 8.60613e7i | 0.157361 | + | 0.106307i | ||||
\(933\) | −6.04610e7 | − | 6.04610e7i | −0.0744442 | − | 0.0744442i | ||||
\(934\) | −1.09500e9 | − | 3.35206e8i | −1.34391 | − | 0.411407i | ||||
\(935\) | −3.65708e7 | −0.0447403 | ||||||||
\(936\) | 1.94380e8 | − | 1.57057e8i | 0.237041 | − | 0.191527i | ||||
\(937\) | − | 5.11375e8i | − | 0.621614i | −0.950473 | − | 0.310807i | \(-0.899401\pi\) | ||
0.950473 | − | 0.310807i | \(-0.100599\pi\) | |||||||
\(938\) | 3.76270e8 | + | 1.15186e8i | 0.455923 | + | 0.139570i | ||||
\(939\) | 3.82181e8 | − | 3.82181e8i | 0.461607 | − | 0.461607i | ||||
\(940\) | −1.21772e8 | − | 6.28890e8i | −0.146610 | − | 0.757166i | ||||
\(941\) | −1.83103e7 | + | 1.83103e7i | −0.0219749 | + | 0.0219749i | −0.718009 | − | 0.696034i | \(-0.754946\pi\) |
0.696034 | + | 0.718009i | \(0.254946\pi\) | |||||||
\(942\) | 1.07879e8 | − | 5.73104e7i | 0.129058 | − | 0.0685615i | ||||
\(943\) | 6.35713e8i | 0.758099i | ||||||||
\(944\) | 1.06413e9 | + | 4.53512e8i | 1.26496 | + | 0.539104i | ||||
\(945\) | −7.29547e8 | −0.864486 | ||||||||
\(946\) | −1.12660e7 | − | 2.12067e7i | −0.0133075 | − | 0.0250496i | ||||
\(947\) | −3.21710e8 | − | 3.21710e8i | −0.378804 | − | 0.378804i | 0.491867 | − | 0.870671i | \(-0.336315\pi\) |
−0.870671 | + | 0.491867i | \(0.836315\pi\) | |||||||
\(948\) | −4.73741e7 | − | 2.44663e8i | −0.0556053 | − | 0.287172i | ||||
\(949\) | 2.98289e8 | + | 2.98289e8i | 0.349011 | + | 0.349011i | ||||
\(950\) | −2.20838e8 | + | 7.21395e8i | −0.257574 | + | 0.841400i | ||||
\(951\) | −2.73531e8 | −0.318028 | ||||||||
\(952\) | 5.28002e7 | − | 4.97176e8i | 0.0611963 | − | 0.576234i | ||||
\(953\) | − | 3.71293e7i | − | 0.0428981i | −0.999770 | − | 0.0214491i | \(-0.993172\pi\) | ||
0.999770 | − | 0.0214491i | \(-0.00682797\pi\) | |||||||
\(954\) | −1.17833e8 | + | 3.84916e8i | −0.135713 | + | 0.443323i | ||||
\(955\) | −3.11886e8 | + | 3.11886e8i | −0.358085 | + | 0.358085i | ||||
\(956\) | −2.58889e8 | − | 1.74895e8i | −0.296305 | − | 0.200172i | ||||
\(957\) | 1.20347e8 | − | 1.20347e8i | 0.137309 | − | 0.137309i | ||||
\(958\) | −6.38714e7 | − | 1.20229e8i | −0.0726457 | − | 0.136746i | ||||
\(959\) | − | 1.07595e9i | − | 1.21993i | ||||||
\(960\) | −4.84435e7 | + | 2.25504e8i | −0.0547547 | + | 0.254882i | ||||
\(961\) | 8.83981e8 | 0.996030 | ||||||||
\(962\) | 5.51623e8 | − | 2.93048e8i | 0.619608 | − | 0.329164i | ||||
\(963\) | −5.00690e8 | − | 5.00690e8i | −0.560647 | − | 0.560647i | ||||
\(964\) | 5.10353e8 | − | 7.55451e8i | 0.569691 | − | 0.843287i | ||||
\(965\) | −2.03806e8 | − | 2.03806e8i | −0.226796 | − | 0.226796i | ||||
\(966\) | 7.23802e8 | + | 2.21574e8i | 0.802950 | + | 0.245804i | ||||
\(967\) | 1.34053e9 | 1.48251 | 0.741255 | − | 0.671224i | \(-0.234231\pi\) | ||||
0.741255 | + | 0.671224i | \(0.234231\pi\) | |||||||
\(968\) | −8.33104e8 | − | 8.84759e7i | −0.918487 | − | 0.0975436i | ||||
\(969\) | 1.68206e8i | 0.184871i | ||||||||
\(970\) | 1.19771e8 | + | 3.66649e7i | 0.131231 | + | 0.0401731i | ||||
\(971\) | −8.32694e8 | + | 8.32694e8i | −0.909553 | + | 0.909553i | −0.996236 | − | 0.0866830i | \(-0.972373\pi\) |
0.0866830 | + | 0.996236i | \(0.472373\pi\) | |||||||
\(972\) | 9.27925e8 | − | 1.79675e8i | 1.01045 | − | 0.195654i | ||||
\(973\) | −1.15514e9 | + | 1.15514e9i | −1.25400 | + | 1.25400i | ||||
\(974\) | −3.21310e8 | + | 1.70695e8i | −0.347734 | + | 0.184732i | ||||
\(975\) | 1.33195e8i | 0.143706i | ||||||||
\(976\) | 1.20881e9 | + | 5.15171e8i | 1.30019 | + | 0.554118i | ||||
\(977\) | 3.01728e8 | 0.323543 | 0.161771 | − | 0.986828i | \(-0.448279\pi\) | ||||
0.161771 | + | 0.986828i | \(0.448279\pi\) | |||||||
\(978\) | 2.32718e8 | + | 4.38060e8i | 0.248778 | + | 0.468292i | ||||
\(979\) | −1.85579e8 | − | 1.85579e8i | −0.197780 | − | 0.197780i | ||||
\(980\) | 1.25137e9 | − | 2.42304e8i | 1.32956 | − | 0.257444i | ||||
\(981\) | −2.28064e8 | − | 2.28064e8i | −0.241574 | − | 0.241574i | ||||
\(982\) | 2.25113e8 | − | 7.35363e8i | 0.237721 | − | 0.776546i | ||||
\(983\) | 5.16672e8 | 0.543944 | 0.271972 | − | 0.962305i | \(-0.412324\pi\) | ||||
0.271972 | + | 0.962305i | \(0.412324\pi\) | |||||||
\(984\) | 2.49164e8 | + | 3.08375e8i | 0.261518 | + | 0.323664i | ||||
\(985\) | − | 6.41106e8i | − | 0.670844i | ||||||
\(986\) | −1.22478e8 | + | 4.00092e8i | −0.127770 | + | 0.417377i | ||||
\(987\) | −9.27062e8 | + | 9.27062e8i | −0.964178 | + | 0.964178i | ||||
\(988\) | 2.65429e8 | − | 3.92901e8i | 0.275218 | − | 0.407392i | ||||
\(989\) | −6.32017e7 | + | 6.32017e7i | −0.0653341 | + | 0.0653341i | ||||
\(990\) | 5.01742e7 | + | 9.44463e7i | 0.0517101 | + | 0.0973373i | ||||
\(991\) | − | 1.63508e9i | − | 1.68003i | −0.542561 | − | 0.840016i | \(-0.682545\pi\) | ||
0.542561 | − | 0.840016i | \(-0.317455\pi\) | |||||||
\(992\) | 3.96203e7 | − | 4.70448e7i | 0.0405866 | − | 0.0481922i | ||||
\(993\) | 6.87883e8 | 0.702533 | ||||||||
\(994\) | 1.34774e9 | − | 7.15981e8i | 1.37229 | − | 0.729025i | ||||
\(995\) | 2.19156e8 | + | 2.19156e8i | 0.222476 | + | 0.222476i | ||||
\(996\) | −1.99373e8 | − | 1.34689e8i | −0.201785 | − | 0.136318i | ||||
\(997\) | 1.09613e9 | + | 1.09613e9i | 1.10606 | + | 1.10606i | 0.993664 | + | 0.112396i | \(0.0358524\pi\) |
0.112396 | + | 0.993664i | \(0.464148\pi\) | |||||||
\(998\) | 7.97758e8 | + | 2.44214e8i | 0.802564 | + | 0.245686i | ||||
\(999\) | 1.50523e9 | 1.50975 |
(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 | 16.7.f.a.11.2 | yes | 22 | |
4.3 | odd | 2 | 64.7.f.a.15.8 | 22 | |||
8.3 | odd | 2 | 128.7.f.a.31.4 | 22 | |||
8.5 | even | 2 | 128.7.f.b.31.8 | 22 | |||
16.3 | odd | 4 | inner | 16.7.f.a.3.2 | ✓ | 22 | |
16.5 | even | 4 | 128.7.f.a.95.4 | 22 | |||
16.11 | odd | 4 | 128.7.f.b.95.8 | 22 | |||
16.13 | even | 4 | 64.7.f.a.47.8 | 22 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
16.7.f.a.3.2 | ✓ | 22 | 16.3 | odd | 4 | inner | |
16.7.f.a.11.2 | yes | 22 | 1.1 | even | 1 | trivial | |
64.7.f.a.15.8 | 22 | 4.3 | odd | 2 | |||
64.7.f.a.47.8 | 22 | 16.13 | even | 4 | |||
128.7.f.a.31.4 | 22 | 8.3 | odd | 2 | |||
128.7.f.a.95.4 | 22 | 16.5 | even | 4 | |||
128.7.f.b.31.8 | 22 | 8.5 | even | 2 | |||
128.7.f.b.95.8 | 22 | 16.11 | odd | 4 |