Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [48,7,Mod(19,48)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(48, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3, 0]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("48.19");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 48 = 2^{4} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 48.l (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: | \(11.0425960138\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(24\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 19.5 | ||
Character | \(\chi\) | \(=\) | 48.19 |
Dual form | 48.7.l.a.43.5 |
$q$-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 \(\left(\mathbb{Z}/48\mathbb{Z}\right)^\times\).
\(n\) | \(17\) | \(31\) | \(37\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −7.21738 | − | 3.45101i | −0.902172 | − | 0.431376i | ||||
\(3\) | 11.0227 | − | 11.0227i | 0.408248 | − | 0.408248i | ||||
\(4\) | 40.1811 | + | 49.8145i | 0.627829 | + | 0.778351i | ||||
\(5\) | −26.8357 | + | 26.8357i | −0.214686 | + | 0.214686i | −0.806254 | − | 0.591569i | \(-0.798509\pi\) |
0.591569 | + | 0.806254i | \(0.298509\pi\) | |||||||
\(6\) | −117.594 | + | 41.5155i | −0.544419 | + | 0.192202i | ||||
\(7\) | −81.4485 | −0.237459 | −0.118730 | − | 0.992927i | \(-0.537882\pi\) | ||||
−0.118730 | + | 0.992927i | \(0.537882\pi\) | |||||||
\(8\) | −118.092 | − | 498.195i | −0.230647 | − | 0.973037i | ||||
\(9\) | − | 243.000i | − | 0.333333i | ||||||
\(10\) | 286.294 | − | 101.073i | 0.286294 | − | 0.101073i | ||||
\(11\) | −775.312 | − | 775.312i | −0.582503 | − | 0.582503i | 0.353087 | − | 0.935590i | \(-0.385132\pi\) |
−0.935590 | + | 0.353087i | \(0.885132\pi\) | |||||||
\(12\) | 991.994 | + | 106.186i | 0.574071 | + | 0.0614505i | ||||
\(13\) | −35.8378 | − | 35.8378i | −0.0163122 | − | 0.0163122i | 0.698904 | − | 0.715216i | \(-0.253672\pi\) |
−0.715216 | + | 0.698904i | \(0.753672\pi\) | |||||||
\(14\) | 587.845 | + | 281.080i | 0.214229 | + | 0.102434i | ||||
\(15\) | 591.604i | 0.175290i | ||||||||
\(16\) | −866.966 | + | 4003.20i | −0.211662 | + | 0.977343i | ||||
\(17\) | −3927.21 | −0.799350 | −0.399675 | − | 0.916657i | \(-0.630877\pi\) | ||||
−0.399675 | + | 0.916657i | \(0.630877\pi\) | |||||||
\(18\) | −838.596 | + | 1753.82i | −0.143792 | + | 0.300724i | ||||
\(19\) | −8023.59 | + | 8023.59i | −1.16979 | + | 1.16979i | −0.187531 | + | 0.982259i | \(0.560048\pi\) |
−0.982259 | + | 0.187531i | \(0.939952\pi\) | |||||||
\(20\) | −2415.09 | − | 258.520i | −0.301887 | − | 0.0323150i | ||||
\(21\) | −897.783 | + | 897.783i | −0.0969423 | + | 0.0969423i | ||||
\(22\) | 2920.11 | + | 8271.32i | 0.274240 | + | 0.776796i | ||||
\(23\) | −12220.5 | −1.00440 | −0.502200 | − | 0.864751i | \(-0.667476\pi\) | ||||
−0.502200 | + | 0.864751i | \(0.667476\pi\) | |||||||
\(24\) | −6793.15 | − | 4189.77i | −0.491402 | − | 0.303079i | ||||
\(25\) | 14184.7i | 0.907820i | ||||||||
\(26\) | 134.978 | + | 382.332i | 0.00767969 | + | 0.0217530i | ||||
\(27\) | −2678.52 | − | 2678.52i | −0.136083 | − | 0.136083i | ||||
\(28\) | −3272.69 | − | 4057.32i | −0.149084 | − | 0.184827i | ||||
\(29\) | −4983.96 | − | 4983.96i | −0.204353 | − | 0.204353i | 0.597509 | − | 0.801862i | \(-0.296157\pi\) |
−0.801862 | + | 0.597509i | \(0.796157\pi\) | |||||||
\(30\) | 2041.63 | − | 4269.83i | 0.0756160 | − | 0.158142i | ||||
\(31\) | − | 1910.12i | − | 0.0641172i | −0.999486 | − | 0.0320586i | \(-0.989794\pi\) | ||
0.999486 | − | 0.0320586i | \(-0.0102063\pi\) | |||||||
\(32\) | 20072.3 | − | 25900.7i | 0.612558 | − | 0.790426i | ||||
\(33\) | −17092.1 | −0.475612 | ||||||||
\(34\) | 28344.1 | + | 13552.8i | 0.721152 | + | 0.344821i | ||||
\(35\) | 2185.73 | − | 2185.73i | 0.0509791 | − | 0.0509791i | ||||
\(36\) | 12104.9 | − | 9764.00i | 0.259450 | − | 0.209276i | ||||
\(37\) | −2913.71 | + | 2913.71i | −0.0575229 | + | 0.0575229i | −0.735283 | − | 0.677760i | \(-0.762951\pi\) |
0.677760 | + | 0.735283i | \(0.262951\pi\) | |||||||
\(38\) | 85598.7 | − | 30219.8i | 1.55997 | − | 0.550732i | ||||
\(39\) | −790.059 | −0.0133188 | ||||||||
\(40\) | 16538.5 | + | 10200.3i | 0.258414 | + | 0.159380i | ||||
\(41\) | 4731.95i | 0.0686576i | 0.999411 | + | 0.0343288i | \(0.0109294\pi\) | ||||
−0.999411 | + | 0.0343288i | \(0.989071\pi\) | |||||||
\(42\) | 9577.89 | − | 3381.38i | 0.129277 | − | 0.0456400i | ||||
\(43\) | −9752.98 | − | 9752.98i | −0.122668 | − | 0.122668i | 0.643108 | − | 0.765776i | \(-0.277645\pi\) |
−0.765776 | + | 0.643108i | \(0.777645\pi\) | |||||||
\(44\) | 7468.91 | − | 69774.6i | 0.0876797 | − | 0.819104i | ||||
\(45\) | 6521.08 | + | 6521.08i | 0.0715619 | + | 0.0715619i | ||||
\(46\) | 88200.2 | + | 42173.2i | 0.906142 | + | 0.433275i | ||||
\(47\) | − | 190994.i | − | 1.83961i | −0.392373 | − | 0.919806i | \(-0.628346\pi\) | ||
0.392373 | − | 0.919806i | \(-0.371654\pi\) | |||||||
\(48\) | 34569.7 | + | 53682.4i | 0.312588 | + | 0.485409i | ||||
\(49\) | −111015. | −0.943613 | ||||||||
\(50\) | 48951.5 | − | 102376.i | 0.391612 | − | 0.819010i | ||||
\(51\) | −43288.4 | + | 43288.4i | −0.326333 | + | 0.326333i | ||||
\(52\) | 345.241 | − | 3225.24i | 0.00245534 | − | 0.0229378i | ||||
\(53\) | −89261.5 | + | 89261.5i | −0.599566 | + | 0.599566i | −0.940197 | − | 0.340631i | \(-0.889359\pi\) |
0.340631 | + | 0.940197i | \(0.389359\pi\) | |||||||
\(54\) | 10088.3 | + | 28575.5i | 0.0640672 | + | 0.181473i | ||||
\(55\) | 41612.1 | 0.250110 | ||||||||
\(56\) | 9618.38 | + | 40577.2i | 0.0547694 | + | 0.231057i | ||||
\(57\) | 176883.i | 0.955129i | ||||||||
\(58\) | 18771.4 | + | 53170.9i | 0.0962085 | + | 0.272515i | ||||
\(59\) | −65576.0 | − | 65576.0i | −0.319293 | − | 0.319293i | 0.529203 | − | 0.848495i | \(-0.322491\pi\) |
−0.848495 | + | 0.529203i | \(0.822491\pi\) | |||||||
\(60\) | −29470.5 | + | 23771.3i | −0.136437 | + | 0.110052i | ||||
\(61\) | 46807.2 | + | 46807.2i | 0.206216 | + | 0.206216i | 0.802657 | − | 0.596441i | \(-0.203419\pi\) |
−0.596441 | + | 0.802657i | \(0.703419\pi\) | |||||||
\(62\) | −6591.83 | + | 13786.0i | −0.0276586 | + | 0.0578448i | ||||
\(63\) | 19792.0i | 0.0791531i | ||||||||
\(64\) | −234253. | + | 117665.i | −0.893603 | + | 0.448857i | ||||
\(65\) | 1923.47 | 0.00700397 | ||||||||
\(66\) | 123360. | + | 58984.9i | 0.429084 | + | 0.205168i | ||||
\(67\) | 156153. | − | 156153.i | 0.519190 | − | 0.519190i | −0.398136 | − | 0.917326i | \(-0.630343\pi\) |
0.917326 | + | 0.398136i | \(0.130343\pi\) | |||||||
\(68\) | −157799. | − | 195632.i | −0.501855 | − | 0.622175i | ||||
\(69\) | −134703. | + | 134703.i | −0.410045 | + | 0.410045i | ||||
\(70\) | −23318.2 | + | 8232.25i | −0.0679831 | + | 0.0240007i | ||||
\(71\) | 260179. | 0.726938 | 0.363469 | − | 0.931606i | \(-0.381592\pi\) | ||||
0.363469 | + | 0.931606i | \(0.381592\pi\) | |||||||
\(72\) | −121061. | + | 28696.2i | −0.324346 | + | 0.0768825i | ||||
\(73\) | 239064.i | 0.614535i | 0.951623 | + | 0.307267i | \(0.0994146\pi\) | ||||
−0.951623 | + | 0.307267i | \(0.900585\pi\) | |||||||
\(74\) | 31084.5 | − | 10974.1i | 0.0767095 | − | 0.0270815i | ||||
\(75\) | 156354. | + | 156354.i | 0.370616 | + | 0.370616i | ||||
\(76\) | −722087. | − | 77294.7i | −1.64494 | − | 0.176079i | ||||
\(77\) | 63148.0 | + | 63148.0i | 0.138321 | + | 0.138321i | ||||
\(78\) | 5702.15 | + | 2726.50i | 0.0120159 | + | 0.00574542i | ||||
\(79\) | − | 845707.i | − | 1.71529i | −0.514239 | − | 0.857647i | \(-0.671926\pi\) | ||
0.514239 | − | 0.857647i | \(-0.328074\pi\) | |||||||
\(80\) | −84163.0 | − | 130694.i | −0.164381 | − | 0.255262i | ||||
\(81\) | −59049.0 | −0.111111 | ||||||||
\(82\) | 16330.0 | − | 34152.3i | 0.0296173 | − | 0.0619410i | ||||
\(83\) | 124933. | − | 124933.i | 0.218496 | − | 0.218496i | −0.589368 | − | 0.807864i | \(-0.700623\pi\) |
0.807864 | + | 0.589368i | \(0.200623\pi\) | |||||||
\(84\) | −80796.4 | − | 8648.73i | −0.136318 | − | 0.0145920i | ||||
\(85\) | 105389. | − | 105389.i | 0.171609 | − | 0.171609i | ||||
\(86\) | 36733.3 | + | 104049.i | 0.0577517 | + | 0.163584i | ||||
\(87\) | −109874. | −0.166853 | ||||||||
\(88\) | −294699. | + | 477814.i | −0.432444 | + | 0.701150i | ||||
\(89\) | 921193.i | 1.30671i | 0.757050 | + | 0.653357i | \(0.226640\pi\) | ||||
−0.757050 | + | 0.653357i | \(0.773360\pi\) | |||||||
\(90\) | −24560.8 | − | 69569.4i | −0.0336910 | − | 0.0954312i | ||||
\(91\) | 2918.94 | + | 2918.94i | 0.00387347 | + | 0.00387347i | ||||
\(92\) | −491034. | − | 608760.i | −0.630592 | − | 0.781776i | ||||
\(93\) | −21054.6 | − | 21054.6i | −0.0261757 | − | 0.0261757i | ||||
\(94\) | −659123. | + | 1.37848e6i | −0.793565 | + | 1.65965i | ||||
\(95\) | − | 430637.i | − | 0.502274i | ||||||
\(96\) | −64244.5 | − | 506746.i | −0.0726143 | − | 0.572766i | ||||
\(97\) | 1.39151e6 | 1.52465 | 0.762326 | − | 0.647193i | \(-0.224057\pi\) | ||||
0.762326 | + | 0.647193i | \(0.224057\pi\) | |||||||
\(98\) | 801238. | + | 383114.i | 0.851301 | + | 0.407052i | ||||
\(99\) | −188401. | + | 188401.i | −0.194168 | + | 0.194168i | ||||
\(100\) | −706603. | + | 569956.i | −0.706603 | + | 0.569956i | ||||
\(101\) | −373244. | + | 373244.i | −0.362267 | + | 0.362267i | −0.864647 | − | 0.502380i | \(-0.832458\pi\) |
0.502380 | + | 0.864647i | \(0.332458\pi\) | |||||||
\(102\) | 461818. | − | 163040.i | 0.435181 | − | 0.153636i | ||||
\(103\) | 1.80911e6 | 1.65559 | 0.827795 | − | 0.561030i | \(-0.189595\pi\) | ||||
0.827795 | + | 0.561030i | \(0.189595\pi\) | |||||||
\(104\) | −13622.1 | + | 22086.4i | −0.0121100 | + | 0.0196347i | ||||
\(105\) | − | 48185.3i | − | 0.0416242i | ||||||
\(106\) | 952277. | − | 336192.i | 0.799550 | − | 0.282273i | ||||
\(107\) | −691978. | − | 691978.i | −0.564860 | − | 0.564860i | 0.365824 | − | 0.930684i | \(-0.380787\pi\) |
−0.930684 | + | 0.365824i | \(0.880787\pi\) | |||||||
\(108\) | 25803.3 | − | 241055.i | 0.0204835 | − | 0.191357i | ||||
\(109\) | −822525. | − | 822525.i | −0.635140 | − | 0.635140i | 0.314213 | − | 0.949353i | \(-0.398260\pi\) |
−0.949353 | + | 0.314213i | \(0.898260\pi\) | |||||||
\(110\) | −300330. | − | 143604.i | −0.225642 | − | 0.107892i | ||||
\(111\) | 64233.8i | 0.0469672i | ||||||||
\(112\) | 70613.1 | − | 326054.i | 0.0502610 | − | 0.232079i | ||||
\(113\) | 1.51173e6 | 1.04770 | 0.523852 | − | 0.851809i | \(-0.324495\pi\) | ||||
0.523852 | + | 0.851809i | \(0.324495\pi\) | |||||||
\(114\) | 610426. | − | 1.27663e6i | 0.412020 | − | 0.861691i | ||||
\(115\) | 327947. | − | 327947.i | 0.215630 | − | 0.215630i | ||||
\(116\) | 48012.7 | − | 448534.i | 0.0307597 | − | 0.287357i | ||||
\(117\) | −8708.59 | + | 8708.59i | −0.00543739 | + | 0.00543739i | ||||
\(118\) | 246983. | + | 699590.i | 0.150322 | + | 0.425792i | ||||
\(119\) | 319865. | 0.189813 | ||||||||
\(120\) | 294734. | − | 69863.4i | 0.170564 | − | 0.0404302i | ||||
\(121\) | − | 569345.i | − | 0.321380i | ||||||
\(122\) | −176293. | − | 499357.i | −0.0970858 | − | 0.275000i | ||||
\(123\) | 52158.9 | + | 52158.9i | 0.0280294 | + | 0.0280294i | ||||
\(124\) | 95151.4 | − | 76750.5i | 0.0499057 | − | 0.0402546i | ||||
\(125\) | −799964. | − | 799964.i | −0.409582 | − | 0.409582i | ||||
\(126\) | 68302.4 | − | 142846.i | 0.0341448 | − | 0.0714097i | ||||
\(127\) | − | 1.28506e6i | − | 0.627352i | −0.949530 | − | 0.313676i | \(-0.898439\pi\) | ||
0.949530 | − | 0.313676i | \(-0.101561\pi\) | |||||||
\(128\) | 2.09675e6 | − | 40825.5i | 0.999810 | − | 0.0194671i | ||||
\(129\) | −215008. | −0.100158 | ||||||||
\(130\) | −13882.4 | − | 6637.90i | −0.00631879 | − | 0.00302135i | ||||
\(131\) | −2.67757e6 | + | 2.67757e6i | −1.19104 | + | 1.19104i | −0.214268 | + | 0.976775i | \(0.568737\pi\) |
−0.976775 | + | 0.214268i | \(0.931263\pi\) | |||||||
\(132\) | −686777. | − | 851432.i | −0.298603 | − | 0.370193i | ||||
\(133\) | 653509. | − | 653509.i | 0.277777 | − | 0.277777i | ||||
\(134\) | −1.66590e6 | + | 588130.i | −0.692365 | + | 0.244432i | ||||
\(135\) | 143760. | 0.0584300 | ||||||||
\(136\) | 463770. | + | 1.95652e6i | 0.184368 | + | 0.777798i | ||||
\(137\) | 4.39546e6i | 1.70940i | 0.519125 | + | 0.854698i | \(0.326258\pi\) | ||||
−0.519125 | + | 0.854698i | \(0.673742\pi\) | |||||||
\(138\) | 1.43707e6 | − | 507342.i | 0.546815 | − | 0.193047i | ||||
\(139\) | −297733. | − | 297733.i | −0.110862 | − | 0.110862i | 0.649500 | − | 0.760362i | \(-0.274978\pi\) |
−0.760362 | + | 0.649500i | \(0.774978\pi\) | |||||||
\(140\) | 196706. | + | 21056.1i | 0.0716858 | + | 0.00767349i | ||||
\(141\) | −2.10527e6 | − | 2.10527e6i | −0.751019 | − | 0.751019i | ||||
\(142\) | −1.87781e6 | − | 897881.i | −0.655823 | − | 0.313584i | ||||
\(143\) | 55570.9i | 0.0190038i | ||||||||
\(144\) | 972777. | + | 210673.i | 0.325781 | + | 0.0705538i | ||||
\(145\) | 267496. | 0.0877433 | ||||||||
\(146\) | 825014. | − | 1.72542e6i | 0.265096 | − | 0.554416i | ||||
\(147\) | −1.22369e6 | + | 1.22369e6i | −0.385228 | + | 0.385228i | ||||
\(148\) | −262221. | − | 28069.0i | −0.0808875 | − | 0.00865848i | ||||
\(149\) | −3.12091e6 | + | 3.12091e6i | −0.943457 | + | 0.943457i | −0.998485 | − | 0.0550275i | \(-0.982475\pi\) |
0.0550275 | + | 0.998485i | \(0.482475\pi\) | |||||||
\(150\) | −588885. | − | 1.66804e6i | −0.174484 | − | 0.494234i | ||||
\(151\) | 802843. | 0.233185 | 0.116592 | − | 0.993180i | \(-0.462803\pi\) | ||||
0.116592 | + | 0.993180i | \(0.462803\pi\) | |||||||
\(152\) | 4.94483e6 | + | 3.04979e6i | 1.40806 | + | 0.868440i | ||||
\(153\) | 954312.i | 0.266450i | ||||||||
\(154\) | −237838. | − | 673687.i | −0.0651208 | − | 0.184457i | ||||
\(155\) | 51259.3 | + | 51259.3i | 0.0137650 | + | 0.0137650i | ||||
\(156\) | −31745.4 | − | 39356.4i | −0.00836194 | − | 0.0103667i | ||||
\(157\) | −5.01290e6 | − | 5.01290e6i | −1.29536 | − | 1.29536i | −0.931425 | − | 0.363932i | \(-0.881434\pi\) |
−0.363932 | − | 0.931425i | \(-0.618566\pi\) | |||||||
\(158\) | −2.91854e6 | + | 6.10378e6i | −0.739937 | + | 1.54749i | ||||
\(159\) | 1.96781e6i | 0.489543i | ||||||||
\(160\) | 156409. | + | 1.23372e6i | 0.0381857 | + | 0.301200i | ||||
\(161\) | 995345. | 0.238504 | ||||||||
\(162\) | 426179. | + | 203779.i | 0.100241 | + | 0.0479307i | ||||
\(163\) | −5.05411e6 | + | 5.05411e6i | −1.16703 | + | 1.16703i | −0.184127 | + | 0.982903i | \(0.558946\pi\) |
−0.982903 | + | 0.184127i | \(0.941054\pi\) | |||||||
\(164\) | −235720. | + | 190135.i | −0.0534398 | + | 0.0431053i | ||||
\(165\) | 458677. | − | 458677.i | 0.102107 | − | 0.102107i | ||||
\(166\) | −1.33284e6 | + | 470544.i | −0.291375 | + | 0.102867i | ||||
\(167\) | −3.16978e6 | −0.680581 | −0.340291 | − | 0.940320i | \(-0.610525\pi\) | ||||
−0.340291 | + | 0.940320i | \(0.610525\pi\) | |||||||
\(168\) | 553292. | + | 341250.i | 0.116688 | + | 0.0719690i | ||||
\(169\) | − | 4.82424e6i | − | 0.999468i | ||||||
\(170\) | −1.12433e6 | + | 396935.i | −0.228849 | + | 0.0807928i | ||||
\(171\) | 1.94973e6 | + | 1.94973e6i | 0.389930 | + | 0.389930i | ||||
\(172\) | 93954.7 | − | 877725.i | 0.0184643 | − | 0.172494i | ||||
\(173\) | −131325. | − | 131325.i | −0.0253635 | − | 0.0253635i | 0.694311 | − | 0.719675i | \(-0.255709\pi\) |
−0.719675 | + | 0.694311i | \(0.755709\pi\) | |||||||
\(174\) | 792998. | + | 379175.i | 0.150531 | + | 0.0719766i | ||||
\(175\) | − | 1.15532e6i | − | 0.215570i | ||||||
\(176\) | 3.77589e6 | − | 2.43156e6i | 0.692599 | − | 0.446012i | ||||
\(177\) | −1.44565e6 | −0.260701 | ||||||||
\(178\) | 3.17905e6 | − | 6.64859e6i | 0.563685 | − | 1.17888i | ||||
\(179\) | −3.48505e6 | + | 3.48505e6i | −0.607646 | + | 0.607646i | −0.942330 | − | 0.334685i | \(-0.891370\pi\) |
0.334685 | + | 0.942330i | \(0.391370\pi\) | |||||||
\(180\) | −62820.3 | + | 586868.i | −0.0107717 | + | 0.100629i | ||||
\(181\) | 3.29758e6 | − | 3.29758e6i | 0.556108 | − | 0.556108i | −0.372089 | − | 0.928197i | \(-0.621358\pi\) |
0.928197 | + | 0.372089i | \(0.121358\pi\) | |||||||
\(182\) | −10993.8 | − | 31140.3i | −0.00182361 | − | 0.00516546i | ||||
\(183\) | 1.03188e6 | 0.168375 | ||||||||
\(184\) | 1.44314e6 | + | 6.08821e6i | 0.231662 | + | 0.977319i | ||||
\(185\) | − | 156383.i | − | 0.0246987i | ||||||
\(186\) | 79299.5 | + | 224619.i | 0.0123234 | + | 0.0349066i | ||||
\(187\) | 3.04481e6 | + | 3.04481e6i | 0.465624 | + | 0.465624i | ||||
\(188\) | 9.51427e6 | − | 7.67435e6i | 1.43187 | − | 1.15496i | ||||
\(189\) | 218161. | + | 218161.i | 0.0323141 | + | 0.0323141i | ||||
\(190\) | −1.48613e6 | + | 3.10807e6i | −0.216669 | + | 0.453138i | ||||
\(191\) | − | 1.00627e7i | − | 1.44415i | −0.691815 | − | 0.722075i | \(-0.743188\pi\) | ||
0.691815 | − | 0.722075i | \(-0.256812\pi\) | |||||||
\(192\) | −1.28511e6 | + | 3.87909e6i | −0.181567 | + | 0.548057i | ||||
\(193\) | 7.50788e6 | 1.04435 | 0.522174 | − | 0.852839i | \(-0.325121\pi\) | ||||
0.522174 | + | 0.852839i | \(0.325121\pi\) | |||||||
\(194\) | −1.00430e7 | − | 4.80211e6i | −1.37550 | − | 0.657699i | ||||
\(195\) | 21201.8 | − | 21201.8i | 0.00285936 | − | 0.00285936i | ||||
\(196\) | −4.46071e6 | − | 5.53016e6i | −0.592428 | − | 0.734463i | ||||
\(197\) | 9.83000e6 | − | 9.83000e6i | 1.28574 | − | 1.28574i | 0.348398 | − | 0.937347i | \(-0.386726\pi\) |
0.937347 | − | 0.348398i | \(-0.113274\pi\) | |||||||
\(198\) | 2.00993e6 | − | 709586.i | 0.258932 | − | 0.0914133i | ||||
\(199\) | 1.08179e7 | 1.37272 | 0.686362 | − | 0.727260i | \(-0.259207\pi\) | ||||
0.686362 | + | 0.727260i | \(0.259207\pi\) | |||||||
\(200\) | 7.06674e6 | − | 1.67509e6i | 0.883343 | − | 0.209386i | ||||
\(201\) | − | 3.44246e6i | − | 0.423917i | ||||||
\(202\) | 3.98191e6 | − | 1.40577e6i | 0.483100 | − | 0.170554i | ||||
\(203\) | 405936. | + | 405936.i | 0.0485255 | + | 0.0485255i | ||||
\(204\) | −3.89577e6 | − | 417016.i | −0.458884 | − | 0.0491205i | ||||
\(205\) | −126985. | − | 126985.i | −0.0147398 | − | 0.0147398i | ||||
\(206\) | −1.30570e7 | − | 6.24325e6i | −1.49363 | − | 0.714183i | ||||
\(207\) | 2.96959e6i | 0.334800i | ||||||||
\(208\) | 174536. | − | 112396.i | 0.0193952 | − | 0.0124899i | ||||
\(209\) | 1.24416e7 | 1.36281 | ||||||||
\(210\) | −166288. | + | 347771.i | −0.0179557 | + | 0.0375522i | ||||
\(211\) | −9.63203e6 | + | 9.63203e6i | −1.02535 | + | 1.02535i | −0.0256759 | + | 0.999670i | \(0.508174\pi\) |
−0.999670 | + | 0.0256759i | \(0.991826\pi\) | |||||||
\(212\) | −8.03314e6 | − | 859895.i | −0.843097 | − | 0.0902480i | ||||
\(213\) | 2.86788e6 | − | 2.86788e6i | 0.296771 | − | 0.296771i | ||||
\(214\) | 2.60624e6 | + | 7.38229e6i | 0.265934 | + | 0.753269i | ||||
\(215\) | 523456. | 0.0526702 | ||||||||
\(216\) | −1.01811e6 | + | 1.65073e6i | −0.101026 | + | 0.163801i | ||||
\(217\) | 155576.i | 0.0152252i | ||||||||
\(218\) | 3.09793e6 | + | 8.77501e6i | 0.299021 | + | 0.846990i | ||||
\(219\) | 2.63514e6 | + | 2.63514e6i | 0.250883 | + | 0.250883i | ||||
\(220\) | 1.67202e6 | + | 2.07288e6i | 0.157026 | + | 0.194674i | ||||
\(221\) | 140743. | + | 140743.i | 0.0130391 | + | 0.0130391i | ||||
\(222\) | 221672. | − | 463600.i | 0.0202605 | − | 0.0423725i | ||||
\(223\) | 1.26994e7i | 1.14517i | 0.819847 | + | 0.572583i | \(0.194058\pi\) | ||||
−0.819847 | + | 0.572583i | \(0.805942\pi\) | |||||||
\(224\) | −1.63486e6 | + | 2.10957e6i | −0.145457 | + | 0.187694i | ||||
\(225\) | 3.44688e6 | 0.302607 | ||||||||
\(226\) | −1.09107e7 | − | 5.21699e6i | −0.945209 | − | 0.451954i | ||||
\(227\) | 9.66433e6 | − | 9.66433e6i | 0.826217 | − | 0.826217i | −0.160774 | − | 0.986991i | \(-0.551399\pi\) |
0.986991 | + | 0.160774i | \(0.0513990\pi\) | |||||||
\(228\) | −8.81135e6 | + | 7.10736e6i | −0.743426 | + | 0.599658i | ||||
\(229\) | −7.46532e6 | + | 7.46532e6i | −0.621644 | + | 0.621644i | −0.945952 | − | 0.324308i | \(-0.894869\pi\) |
0.324308 | + | 0.945952i | \(0.394869\pi\) | |||||||
\(230\) | −3.49866e6 | + | 1.23517e6i | −0.287554 | + | 0.101518i | ||||
\(231\) | 1.39212e6 | 0.112938 | ||||||||
\(232\) | −1.89442e6 | + | 3.07155e6i | −0.151710 | + | 0.245977i | ||||
\(233\) | 1.57383e7i | 1.24420i | 0.782938 | + | 0.622100i | \(0.213720\pi\) | ||||
−0.782938 | + | 0.622100i | \(0.786280\pi\) | |||||||
\(234\) | 92906.6 | − | 32799.7i | 0.00725102 | − | 0.00255990i | ||||
\(235\) | 5.12546e6 | + | 5.12546e6i | 0.394938 | + | 0.394938i | ||||
\(236\) | 631722. | − | 5.90155e6i | 0.0480607 | − | 0.448983i | ||||
\(237\) | −9.32198e6 | − | 9.32198e6i | −0.700266 | − | 0.700266i | ||||
\(238\) | −2.30859e6 | − | 1.10386e6i | −0.171244 | − | 0.0818809i | ||||
\(239\) | − | 1.79587e7i | − | 1.31547i | −0.753249 | − | 0.657736i | \(-0.771514\pi\) | ||
0.753249 | − | 0.657736i | \(-0.228486\pi\) | |||||||
\(240\) | −2.36831e6 | − | 512900.i | −0.171319 | − | 0.0371022i | ||||
\(241\) | −1.76960e7 | −1.26423 | −0.632113 | − | 0.774876i | \(-0.717812\pi\) | ||||
−0.632113 | + | 0.774876i | \(0.717812\pi\) | |||||||
\(242\) | −1.96482e6 | + | 4.10918e6i | −0.138636 | + | 0.289940i | ||||
\(243\) | −650880. | + | 650880.i | −0.0453609 | + | 0.0453609i | ||||
\(244\) | −450914. | + | 4.21244e6i | −0.0310402 | + | 0.289977i | ||||
\(245\) | 2.97917e6 | − | 2.97917e6i | 0.202580 | − | 0.202580i | ||||
\(246\) | −196450. | − | 556452.i | −0.0131961 | − | 0.0373785i | ||||
\(247\) | 575096. | 0.0381636 | ||||||||
\(248\) | −951610. | + | 225568.i | −0.0623884 | + | 0.0147885i | ||||
\(249\) | − | 2.75420e6i | − | 0.178401i | ||||||
\(250\) | 3.01296e6 | + | 8.53433e6i | 0.192829 | + | 0.546197i | ||||
\(251\) | −1.70291e7 | − | 1.70291e7i | −1.07689 | − | 1.07689i | −0.996786 | − | 0.0801047i | \(-0.974475\pi\) |
−0.0801047 | − | 0.996786i | \(-0.525525\pi\) | |||||||
\(252\) | −985928. | + | 795263.i | −0.0616089 | + | 0.0496946i | ||||
\(253\) | 9.47473e6 | + | 9.47473e6i | 0.585066 | + | 0.585066i | ||||
\(254\) | −4.43475e6 | + | 9.27475e6i | −0.270625 | + | 0.565980i | ||||
\(255\) | − | 2.32335e6i | − | 0.140118i | ||||||
\(256\) | −1.52740e7 | − | 6.94127e6i | −0.910399 | − | 0.413732i | ||||
\(257\) | −3.32789e6 | −0.196051 | −0.0980256 | − | 0.995184i | \(-0.531253\pi\) | ||||
−0.0980256 | + | 0.995184i | \(0.531253\pi\) | |||||||
\(258\) | 1.55180e6 | + | 741996.i | 0.0903599 | + | 0.0432059i | ||||
\(259\) | 237317. | − | 237317.i | 0.0136593 | − | 0.0136593i | ||||
\(260\) | 77286.9 | + | 95816.5i | 0.00439730 | + | 0.00545155i | ||||
\(261\) | −1.21110e6 | + | 1.21110e6i | −0.0681176 | + | 0.0681176i | ||||
\(262\) | 2.85654e7 | − | 1.00847e7i | 1.58831 | − | 0.560738i | ||||
\(263\) | −528417. | −0.0290476 | −0.0145238 | − | 0.999895i | \(-0.504623\pi\) | ||||
−0.0145238 | + | 0.999895i | \(0.504623\pi\) | |||||||
\(264\) | 2.01843e6 | + | 8.51518e6i | 0.109699 | + | 0.462788i | ||||
\(265\) | − | 4.79079e6i | − | 0.257436i | ||||||
\(266\) | −6.97189e6 | + | 2.46136e6i | −0.370429 | + | 0.130776i | ||||
\(267\) | 1.01540e7 | + | 1.01540e7i | 0.533464 | + | 0.533464i | ||||
\(268\) | 1.40531e7 | + | 1.50429e6i | 0.730074 | + | 0.0781496i | ||||
\(269\) | 7.17633e6 | + | 7.17633e6i | 0.368677 | + | 0.368677i | 0.866994 | − | 0.498318i | \(-0.166049\pi\) |
−0.498318 | + | 0.866994i | \(0.666049\pi\) | |||||||
\(270\) | −1.03757e6 | − | 496117.i | −0.0527139 | − | 0.0252053i | ||||
\(271\) | 4.41346e6i | 0.221754i | 0.993834 | + | 0.110877i | \(0.0353660\pi\) | ||||
−0.993834 | + | 0.110877i | \(0.964634\pi\) | |||||||
\(272\) | 3.40475e6 | − | 1.57214e7i | 0.169192 | − | 0.781239i | ||||
\(273\) | 64349.1 | 0.00316268 | ||||||||
\(274\) | 1.51688e7 | − | 3.17237e7i | 0.737393 | − | 1.54217i | ||||
\(275\) | 1.09976e7 | − | 1.09976e7i | 0.528808 | − | 0.528808i | ||||
\(276\) | −1.21227e7 | − | 1.29766e6i | −0.576597 | − | 0.0617209i | ||||
\(277\) | −2.55357e7 | + | 2.55357e7i | −1.20146 | + | 1.20146i | −0.227732 | + | 0.973724i | \(0.573131\pi\) |
−0.973724 | + | 0.227732i | \(0.926869\pi\) | |||||||
\(278\) | 1.12137e6 | + | 3.17633e6i | 0.0521933 | + | 0.147840i | ||||
\(279\) | −464158. | −0.0213724 | ||||||||
\(280\) | −1.34704e6 | − | 830803.i | −0.0613628 | − | 0.0378464i | ||||
\(281\) | 1.23501e7i | 0.556610i | 0.960493 | + | 0.278305i | \(0.0897725\pi\) | ||||
−0.960493 | + | 0.278305i | \(0.910227\pi\) | |||||||
\(282\) | 7.92922e6 | + | 2.24599e7i | 0.353576 | + | 1.00152i | ||||
\(283\) | −1.87645e7 | − | 1.87645e7i | −0.827901 | − | 0.827901i | 0.159325 | − | 0.987226i | \(-0.449068\pi\) |
−0.987226 | + | 0.159325i | \(0.949068\pi\) | |||||||
\(284\) | 1.04543e7 | + | 1.29607e7i | 0.456393 | + | 0.565813i | ||||
\(285\) | −4.74679e6 | − | 4.74679e6i | −0.205053 | − | 0.205053i | ||||
\(286\) | 191776. | − | 401076.i | 0.00819777 | − | 0.0171447i | ||||
\(287\) | − | 385411.i | − | 0.0163034i | ||||||
\(288\) | −6.29386e6 | − | 4.87757e6i | −0.263475 | − | 0.204186i | ||||
\(289\) | −8.71461e6 | −0.361039 | ||||||||
\(290\) | −1.93062e6 | − | 923133.i | −0.0791595 | − | 0.0378504i | ||||
\(291\) | 1.53382e7 | − | 1.53382e7i | 0.622437 | − | 0.622437i | ||||
\(292\) | −1.19089e7 | + | 9.60586e6i | −0.478324 | + | 0.385823i | ||||
\(293\) | −2.33597e7 | + | 2.33597e7i | −0.928675 | + | 0.928675i | −0.997620 | − | 0.0689457i | \(-0.978036\pi\) |
0.0689457 | + | 0.997620i | \(0.478036\pi\) | |||||||
\(294\) | 1.30548e7 | − | 4.60885e6i | 0.513721 | − | 0.181364i | ||||
\(295\) | 3.51956e6 | 0.137095 | ||||||||
\(296\) | 1.79568e6 | + | 1.10751e6i | 0.0692394 | + | 0.0427044i | ||||
\(297\) | 4.15337e6i | 0.158537i | ||||||||
\(298\) | 3.32951e7 | − | 1.17545e7i | 1.25815 | − | 0.444176i | ||||
\(299\) | 437957. | + | 437957.i | 0.0163839 | + | 0.0163839i | ||||
\(300\) | −1.50622e6 | + | 1.40711e7i | −0.0557860 | + | 0.521153i | ||||
\(301\) | 794366. | + | 794366.i | 0.0291287 | + | 0.0291287i | ||||
\(302\) | −5.79442e6 | − | 2.77062e6i | −0.210373 | − | 0.100590i | ||||
\(303\) | 8.22831e6i | 0.295790i | ||||||||
\(304\) | −2.51638e7 | − | 3.90762e7i | −0.895686 | − | 1.39089i | ||||
\(305\) | −2.51221e6 | −0.0885434 | ||||||||
\(306\) | 3.29334e6 | − | 6.88763e6i | 0.114940 | − | 0.240384i | ||||
\(307\) | 4.10516e6 | − | 4.10516e6i | 0.141878 | − | 0.141878i | −0.632600 | − | 0.774478i | \(-0.718012\pi\) |
0.774478 | + | 0.632600i | \(0.218012\pi\) | |||||||
\(308\) | −608331. | + | 5.68304e6i | −0.0208204 | + | 0.194504i | ||||
\(309\) | 1.99413e7 | − | 1.99413e7i | 0.675892 | − | 0.675892i | ||||
\(310\) | −193061. | − | 546854.i | −0.00648053 | − | 0.0183564i | ||||
\(311\) | −4.81011e7 | −1.59909 | −0.799547 | − | 0.600604i | \(-0.794927\pi\) | ||||
−0.799547 | + | 0.600604i | \(0.794927\pi\) | |||||||
\(312\) | 93299.3 | + | 393604.i | 0.00307195 | + | 0.0129597i | ||||
\(313\) | − | 1.59905e7i | − | 0.521469i | −0.965411 | − | 0.260734i | \(-0.916035\pi\) | ||
0.965411 | − | 0.260734i | \(-0.0839647\pi\) | |||||||
\(314\) | 1.88804e7 | + | 5.34795e7i | 0.609849 | + | 1.72742i | ||||
\(315\) | −531132. | − | 531132.i | −0.0169930 | − | 0.0169930i | ||||
\(316\) | 4.21284e7 | − | 3.39814e7i | 1.33510 | − | 1.07691i | ||||
\(317\) | 2.98537e7 | + | 2.98537e7i | 0.937173 | + | 0.937173i | 0.998140 | − | 0.0609665i | \(-0.0194183\pi\) |
−0.0609665 | + | 0.998140i | \(0.519418\pi\) | |||||||
\(318\) | 6.79092e6 | − | 1.42024e7i | 0.211177 | − | 0.441652i | ||||
\(319\) | 7.72825e6i | 0.238072i | ||||||||
\(320\) | 3.12871e6 | − | 9.44397e6i | 0.0954806 | − | 0.288207i | ||||
\(321\) | −1.52549e7 | −0.461207 | ||||||||
\(322\) | −7.18378e6 | − | 3.43495e6i | −0.215172 | − | 0.102885i | ||||
\(323\) | 3.15103e7 | − | 3.15103e7i | 0.935072 | − | 0.935072i | ||||
\(324\) | −2.37265e6 | − | 2.94150e6i | −0.0697588 | − | 0.0864835i | ||||
\(325\) | 508348. | − | 508348.i | 0.0148085 | − | 0.0148085i | ||||
\(326\) | 5.39192e7 | − | 1.90356e7i | 1.55629 | − | 0.549432i | ||||
\(327\) | −1.81329e7 | −0.518590 | ||||||||
\(328\) | 2.35744e6 | − | 558804.i | 0.0668065 | − | 0.0158357i | ||||
\(329\) | 1.55562e7i | 0.436833i | ||||||||
\(330\) | −4.89335e6 | + | 1.72755e6i | −0.136165 | + | 0.0480716i | ||||
\(331\) | −1.52731e7 | − | 1.52731e7i | −0.421156 | − | 0.421156i | 0.464446 | − | 0.885602i | \(-0.346254\pi\) |
−0.885602 | + | 0.464446i | \(0.846254\pi\) | |||||||
\(332\) | 1.12434e7 | + | 1.20354e6i | 0.307245 | + | 0.0328885i | ||||
\(333\) | 708031. | + | 708031.i | 0.0191743 | + | 0.0191743i | ||||
\(334\) | 2.28775e7 | + | 1.09390e7i | 0.614001 | + | 0.293587i | ||||
\(335\) | 8.38096e6i | 0.222925i | ||||||||
\(336\) | −2.81565e6 | − | 4.37235e6i | −0.0742269 | − | 0.115265i | ||||
\(337\) | −3.20323e7 | −0.836948 | −0.418474 | − | 0.908229i | \(-0.637435\pi\) | ||||
−0.418474 | + | 0.908229i | \(0.637435\pi\) | |||||||
\(338\) | −1.66485e7 | + | 3.48184e7i | −0.431147 | + | 0.901692i | ||||
\(339\) | 1.66633e7 | − | 1.66633e7i | 0.427723 | − | 0.427723i | ||||
\(340\) | 9.48458e6 | + | 1.01526e6i | 0.241313 | + | 0.0258310i | ||||
\(341\) | −1.48093e6 | + | 1.48093e6i | −0.0373485 | + | 0.0373485i | ||||
\(342\) | −7.34340e6 | − | 2.08005e7i | −0.183577 | − | 0.519990i | ||||
\(343\) | 1.86244e7 | 0.461529 | ||||||||
\(344\) | −3.70714e6 | + | 6.01063e6i | −0.0910676 | + | 0.147654i | ||||
\(345\) | − | 7.22972e6i | − | 0.176061i | ||||||
\(346\) | 494619. | + | 1.40103e6i | 0.0119410 | + | 0.0338235i | ||||
\(347\) | 4.52698e6 | + | 4.52698e6i | 0.108348 | + | 0.108348i | 0.759202 | − | 0.650855i | \(-0.225589\pi\) |
−0.650855 | + | 0.759202i | \(0.725589\pi\) | |||||||
\(348\) | −4.41483e6 | − | 5.47329e6i | −0.104755 | − | 0.129871i | ||||
\(349\) | 3.42959e7 | + | 3.42959e7i | 0.806801 | + | 0.806801i | 0.984148 | − | 0.177348i | \(-0.0567517\pi\) |
−0.177348 | + | 0.984148i | \(0.556752\pi\) | |||||||
\(350\) | −3.98703e6 | + | 8.33839e6i | −0.0929919 | + | 0.194481i | ||||
\(351\) | 191984.i | 0.00443961i | ||||||||
\(352\) | −3.56434e7 | + | 4.51881e6i | −0.817242 | + | 0.103609i | ||||
\(353\) | −1.61140e6 | −0.0366335 | −0.0183168 | − | 0.999832i | \(-0.505831\pi\) | ||||
−0.0183168 | + | 0.999832i | \(0.505831\pi\) | |||||||
\(354\) | 1.04338e7 | + | 4.98895e6i | 0.235198 | + | 0.112460i | ||||
\(355\) | −6.98209e6 | + | 6.98209e6i | −0.156063 | + | 0.156063i | ||||
\(356\) | −4.58887e7 | + | 3.70145e7i | −1.01708 | + | 0.820393i | ||||
\(357\) | 3.52578e6 | − | 3.52578e6i | 0.0774909 | − | 0.0774909i | ||||
\(358\) | 3.71799e7 | − | 1.31260e7i | 0.810325 | − | 0.286077i | ||||
\(359\) | −2.80317e7 | −0.605850 | −0.302925 | − | 0.953014i | \(-0.597963\pi\) | ||||
−0.302925 | + | 0.953014i | \(0.597963\pi\) | |||||||
\(360\) | 2.47868e6 | − | 4.01885e6i | 0.0531268 | − | 0.0861380i | ||||
\(361\) | − | 8.17100e7i | − | 1.73682i | ||||||
\(362\) | −3.51798e7 | + | 1.24199e7i | −0.741597 | + | 0.261814i | ||||
\(363\) | −6.27572e6 | − | 6.27572e6i | −0.131203 | − | 0.131203i | ||||
\(364\) | −28119.4 | + | 262691.i | −0.000583044 | + | 0.00544680i | ||||
\(365\) | −6.41546e6 | − | 6.41546e6i | −0.131932 | − | 0.131932i | ||||
\(366\) | −7.44750e6 | − | 3.56104e6i | −0.151903 | − | 0.0726330i | ||||
\(367\) | 1.29660e7i | 0.262305i | 0.991362 | + | 0.131153i | \(0.0418678\pi\) | ||||
−0.991362 | + | 0.131153i | \(0.958132\pi\) | |||||||
\(368\) | 1.05948e7 | − | 4.89212e7i | 0.212593 | − | 0.981644i | ||||
\(369\) | 1.14986e6 | 0.0228859 | ||||||||
\(370\) | −539678. | + | 1.12867e6i | −0.0106544 | + | 0.0222825i | ||||
\(371\) | 7.27022e6 | − | 7.27022e6i | 0.142372 | − | 0.142372i | ||||
\(372\) | 202828. | − | 1.89482e6i | 0.00394003 | − | 0.0368078i | ||||
\(373\) | −1.21108e7 | + | 1.21108e7i | −0.233370 | + | 0.233370i | −0.814098 | − | 0.580728i | \(-0.802768\pi\) |
0.580728 | + | 0.814098i | \(0.302768\pi\) | |||||||
\(374\) | −1.14679e7 | − | 3.24832e7i | −0.219214 | − | 0.620932i | ||||
\(375\) | −1.76355e7 | −0.334422 | ||||||||
\(376\) | −9.51523e7 | + | 2.25548e7i | −1.79001 | + | 0.424302i | ||||
\(377\) | 357229.i | 0.00666687i | ||||||||
\(378\) | −821675. | − | 2.32743e6i | −0.0152133 | − | 0.0430924i | ||||
\(379\) | 7.52090e6 | + | 7.52090e6i | 0.138150 | + | 0.138150i | 0.772800 | − | 0.634650i | \(-0.218856\pi\) |
−0.634650 | + | 0.772800i | \(0.718856\pi\) | |||||||
\(380\) | 2.14520e7 | − | 1.73035e7i | 0.390946 | − | 0.315342i | ||||
\(381\) | −1.41648e7 | − | 1.41648e7i | −0.256116 | − | 0.256116i | ||||
\(382\) | −3.47263e7 | + | 7.26260e7i | −0.622972 | + | 1.30287i | ||||
\(383\) | 6.40799e7i | 1.14058i | 0.821444 | + | 0.570290i | \(0.193169\pi\) | ||||
−0.821444 | + | 0.570290i | \(0.806831\pi\) | |||||||
\(384\) | 2.26619e7 | − | 2.35619e7i | 0.400224 | − | 0.416118i | ||||
\(385\) | −3.38924e6 | −0.0593909 | ||||||||
\(386\) | −5.41872e7 | − | 2.59098e7i | −0.942182 | − | 0.450507i | ||||
\(387\) | −2.36997e6 | + | 2.36997e6i | −0.0408894 | + | 0.0408894i | ||||
\(388\) | 5.59123e7 | + | 6.93173e7i | 0.957221 | + | 1.18672i | ||||
\(389\) | 2.83762e7 | − | 2.83762e7i | 0.482065 | − | 0.482065i | −0.423725 | − | 0.905791i | \(-0.639278\pi\) |
0.905791 | + | 0.423725i | \(0.139278\pi\) | |||||||
\(390\) | −226189. | + | 79853.7i | −0.00381309 | + | 0.00134617i | ||||
\(391\) | 4.79926e7 | 0.802868 | ||||||||
\(392\) | 1.31099e7 | + | 5.53072e7i | 0.217642 | + | 0.918171i | ||||
\(393\) | 5.90282e7i | 0.972483i | ||||||||
\(394\) | −1.04870e8 | + | 3.70234e7i | −1.71460 | + | 0.605323i | ||||
\(395\) | 2.26951e7 | + | 2.26951e7i | 0.368249 | + | 0.368249i | ||||
\(396\) | −1.69552e7 | − | 1.81494e6i | −0.273035 | − | 0.0292266i | ||||
\(397\) | 8.65284e7 | + | 8.65284e7i | 1.38289 | + | 1.38289i | 0.839446 | + | 0.543443i | \(0.182880\pi\) |
0.543443 | + | 0.839446i | \(0.317120\pi\) | |||||||
\(398\) | −7.80768e7 | − | 3.73326e7i | −1.23843 | − | 0.592160i | ||||
\(399\) | − | 1.44069e7i | − | 0.226804i | ||||||
\(400\) | −5.67841e7 | − | 1.22976e7i | −0.887252 | − | 0.192151i | ||||
\(401\) | −5.90588e7 | −0.915907 | −0.457954 | − | 0.888976i | \(-0.651417\pi\) | ||||
−0.457954 | + | 0.888976i | \(0.651417\pi\) | |||||||
\(402\) | −1.18800e7 | + | 2.48455e7i | −0.182868 | + | 0.382446i | ||||
\(403\) | −68454.4 | + | 68454.4i | −0.00104589 | + | 0.00104589i | ||||
\(404\) | −3.35903e7 | − | 3.59562e6i | −0.509412 | − | 0.0545292i | ||||
\(405\) | 1.58462e6 | − | 1.58462e6i | 0.0238540 | − | 0.0238540i | ||||
\(406\) | −1.52891e6 | − | 4.33069e6i | −0.0228456 | − | 0.0647111i | ||||
\(407\) | 4.51806e6 | 0.0670145 | ||||||||
\(408\) | 2.66781e7 | + | 1.64541e7i | 0.392803 | + | 0.242267i | ||||
\(409\) | − | 7.26547e7i | − | 1.06192i | −0.847395 | − | 0.530962i | \(-0.821831\pi\) | ||
0.847395 | − | 0.530962i | \(-0.178169\pi\) | |||||||
\(410\) | 478273. | + | 1.35473e6i | 0.00693944 | + | 0.0196563i | ||||
\(411\) | 4.84499e7 | + | 4.84499e7i | 0.697858 | + | 0.697858i | ||||
\(412\) | 7.26919e7 | + | 9.01198e7i | 1.03943 | + | 1.28863i | ||||
\(413\) | 5.34107e6 | + | 5.34107e6i | 0.0758190 | + | 0.0758190i | ||||
\(414\) | 1.02481e7 | − | 2.14327e7i | 0.144425 | − | 0.302047i | ||||
\(415\) | 6.70534e6i | 0.0938160i | ||||||||
\(416\) | −1.64757e6 | + | 208876.i | −0.0228857 | + | 0.00290141i | ||||
\(417\) | −6.56364e6 | −0.0905183 | ||||||||
\(418\) | −8.97954e7 | − | 4.29360e7i | −1.22949 | − | 0.587885i | ||||
\(419\) | 1.95758e7 | − | 1.95758e7i | 0.266120 | − | 0.266120i | −0.561415 | − | 0.827535i | \(-0.689743\pi\) |
0.827535 | + | 0.561415i | \(0.189743\pi\) | |||||||
\(420\) | 2.40032e6 | − | 1.93613e6i | 0.0323983 | − | 0.0261329i | ||||
\(421\) | 3.85272e7 | − | 3.85272e7i | 0.516323 | − | 0.516323i | −0.400134 | − | 0.916457i | \(-0.631036\pi\) |
0.916457 | + | 0.400134i | \(0.131036\pi\) | |||||||
\(422\) | 1.02758e8 | − | 3.62778e7i | 1.36735 | − | 0.482729i | ||||
\(423\) | −4.64116e7 | −0.613204 | ||||||||
\(424\) | 5.50107e7 | + | 3.39286e7i | 0.721688 | + | 0.445111i | ||||
\(425\) | − | 5.57062e7i | − | 0.725666i | ||||||
\(426\) | −3.05956e7 | + | 1.08015e7i | −0.395759 | + | 0.139719i | ||||
\(427\) | −3.81238e6 | − | 3.81238e6i | −0.0489680 | − | 0.0489680i | ||||
\(428\) | 6.66612e6 | − | 6.22750e7i | 0.0850241 | − | 0.794296i | ||||
\(429\) | 612542. | + | 612542.i | 0.00775825 | + | 0.00775825i | ||||
\(430\) | −3.77798e6 | − | 1.80645e6i | −0.0475176 | − | 0.0227207i | ||||
\(431\) | − | 7.68903e6i | − | 0.0960373i | −0.998846 | − | 0.0480186i | \(-0.984709\pi\) | ||
0.998846 | − | 0.0480186i | \(-0.0152907\pi\) | |||||||
\(432\) | 1.30448e7 | − | 8.40045e6i | 0.161803 | − | 0.104196i | ||||
\(433\) | 6.11798e7 | 0.753607 | 0.376803 | − | 0.926293i | \(-0.377023\pi\) | ||||
0.376803 | + | 0.926293i | \(0.377023\pi\) | |||||||
\(434\) | 536895. | − | 1.12285e6i | 0.00656780 | − | 0.0137358i | ||||
\(435\) | 2.94853e6 | − | 2.94853e6i | 0.0358210 | − | 0.0358210i | ||||
\(436\) | 7.92373e6 | − | 7.40235e7i | 0.0956027 | − | 0.893121i | ||||
\(437\) | 9.80526e7 | − | 9.80526e7i | 1.17494 | − | 1.17494i | ||||
\(438\) | −9.92489e6 | − | 2.81126e7i | −0.118115 | − | 0.334564i | ||||
\(439\) | 2.46496e7 | 0.291351 | 0.145676 | − | 0.989332i | \(-0.453464\pi\) | ||||
0.145676 | + | 0.989332i | \(0.453464\pi\) | |||||||
\(440\) | −4.91403e6 | − | 2.07309e7i | −0.0576873 | − | 0.243366i | ||||
\(441\) | 2.69767e7i | 0.314538i | ||||||||
\(442\) | −530088. | − | 1.50150e6i | −0.00613877 | − | 0.0173883i | ||||
\(443\) | 4.36137e7 | + | 4.36137e7i | 0.501662 | + | 0.501662i | 0.911954 | − | 0.410292i | \(-0.134573\pi\) |
−0.410292 | + | 0.911954i | \(0.634573\pi\) | |||||||
\(444\) | −3.19978e6 | + | 2.58098e6i | −0.0365570 | + | 0.0294874i | ||||
\(445\) | −2.47209e7 | − | 2.47209e7i | −0.280533 | − | 0.280533i | ||||
\(446\) | 4.38257e7 | − | 9.16563e7i | 0.493997 | − | 1.03314i | ||||
\(447\) | 6.88017e7i | 0.770330i | ||||||||
\(448\) | 1.90795e7 | − | 9.58366e6i | 0.212194 | − | 0.106585i | ||||
\(449\) | 1.69871e6 | 0.0187664 | 0.00938320 | − | 0.999956i | \(-0.497013\pi\) | ||||
0.00938320 | + | 0.999956i | \(0.497013\pi\) | |||||||
\(450\) | −2.48774e7 | − | 1.18952e7i | −0.273003 | − | 0.130537i | ||||
\(451\) | 3.66874e6 | − | 3.66874e6i | 0.0399933 | − | 0.0399933i | ||||
\(452\) | 6.07428e7 | + | 7.53060e7i | 0.657779 | + | 0.815481i | ||||
\(453\) | 8.84950e6 | − | 8.84950e6i | 0.0951972 | − | 0.0951972i | ||||
\(454\) | −1.03103e8 | + | 3.63994e7i | −1.10180 | + | 0.388980i | ||||
\(455\) | −156663. | −0.00166316 | ||||||||
\(456\) | 8.81224e7 | − | 2.08884e7i | 0.929376 | − | 0.220298i | ||||
\(457\) | − | 1.26874e8i | − | 1.32931i | −0.747151 | − | 0.664654i | \(-0.768579\pi\) | ||
0.747151 | − | 0.664654i | \(-0.231421\pi\) | |||||||
\(458\) | 7.96429e7 | − | 2.81171e7i | 0.828992 | − | 0.292667i | ||||
\(459\) | 1.05191e7 | + | 1.05191e7i | 0.108778 | + | 0.108778i | ||||
\(460\) | 2.95138e7 | + | 3.15925e6i | 0.303215 | + | 0.0324572i | ||||
\(461\) | −9.90837e7 | − | 9.90837e7i | −1.01135 | − | 1.01135i | −0.999935 | − | 0.0114105i | \(-0.996368\pi\) |
−0.0114105 | − | 0.999935i | \(-0.503632\pi\) | |||||||
\(462\) | −1.00475e7 | − | 4.80423e6i | −0.101890 | − | 0.0487189i | ||||
\(463\) | − | 7.82203e7i | − | 0.788091i | −0.919091 | − | 0.394045i | \(-0.871075\pi\) | ||
0.919091 | − | 0.394045i | \(-0.128925\pi\) | |||||||
\(464\) | 2.42727e7 | − | 1.56309e7i | 0.242977 | − | 0.156469i | ||||
\(465\) | 1.13003e6 | 0.0112391 | ||||||||
\(466\) | 5.43130e7 | − | 1.13589e8i | 0.536718 | − | 1.12248i | ||||
\(467\) | −4.15449e7 | + | 4.15449e7i | −0.407913 | + | 0.407913i | −0.881010 | − | 0.473097i | \(-0.843136\pi\) |
0.473097 | + | 0.881010i | \(0.343136\pi\) | |||||||
\(468\) | −783734. | − | 83893.6i | −0.00764594 | − | 0.000818448i | ||||
\(469\) | −1.27184e7 | + | 1.27184e7i | −0.123286 | + | 0.123286i | ||||
\(470\) | −1.93044e7 | − | 5.46804e7i | −0.185935 | − | 0.526670i | ||||
\(471\) | −1.10511e8 | −1.05766 | ||||||||
\(472\) | −2.49257e7 | + | 4.04136e7i | −0.237040 | + | 0.384328i | ||||
\(473\) | 1.51232e7i | 0.142909i | ||||||||
\(474\) | 3.51100e7 | + | 9.94504e7i | 0.329682 | + | 0.933838i | ||||
\(475\) | −1.13812e8 | − | 1.13812e8i | −1.06196 | − | 1.06196i | ||||
\(476\) | 1.28525e7 | + | 1.59339e7i | 0.119170 | + | 0.147741i | ||||
\(477\) | 2.16906e7 | + | 2.16906e7i | 0.199855 | + | 0.199855i | ||||
\(478\) | −6.19757e7 | + | 1.29615e8i | −0.567463 | + | 1.18678i | ||||
\(479\) | 1.47963e8i | 1.34631i | 0.739499 | + | 0.673157i | \(0.235062\pi\) | ||||
−0.739499 | + | 0.673157i | \(0.764938\pi\) | |||||||
\(480\) | 1.53229e7 | + | 1.18749e7i | 0.138554 | + | 0.107375i | ||||
\(481\) | 208842. | 0.00187664 | ||||||||
\(482\) | 1.27719e8 | + | 6.10692e7i | 1.14055 | + | 0.545357i | ||||
\(483\) | 1.09714e7 | − | 1.09714e7i | 0.0973689 | − | 0.0973689i | ||||
\(484\) | 2.83616e7 | − | 2.28769e7i | 0.250147 | − | 0.201772i | ||||
\(485\) | −3.73421e7 | + | 3.73421e7i | −0.327321 | + | 0.327321i | ||||
\(486\) | 6.94384e6 | − | 2.45145e6i | 0.0604910 | − | 0.0213557i | ||||
\(487\) | 1.46672e8 | 1.26988 | 0.634938 | − | 0.772563i | \(-0.281026\pi\) | ||||
0.634938 | + | 0.772563i | \(0.281026\pi\) | |||||||
\(488\) | 1.77916e7 | − | 2.88467e7i | 0.153093 | − | 0.248220i | ||||
\(489\) | 1.11420e8i | 0.952875i | ||||||||
\(490\) | −3.17829e7 | + | 1.12206e7i | −0.270150 | + | 0.0953739i | ||||
\(491\) | 5.09913e7 | + | 5.09913e7i | 0.430776 | + | 0.430776i | 0.888892 | − | 0.458116i | \(-0.151476\pi\) |
−0.458116 | + | 0.888892i | \(0.651476\pi\) | |||||||
\(492\) | −502469. | + | 4.69407e6i | −0.00421905 | + | 0.0394143i | ||||
\(493\) | 1.95731e7 | + | 1.95731e7i | 0.163350 | + | 0.163350i | ||||
\(494\) | −4.15068e6 | − | 1.98466e6i | −0.0344301 | − | 0.0164629i | ||||
\(495\) | − | 1.01117e7i | − | 0.0833700i | ||||||
\(496\) | 7.64657e6 | + | 1.65600e6i | 0.0626645 | + | 0.0135711i | ||||
\(497\) | −2.11912e7 | −0.172618 | ||||||||
\(498\) | −9.50479e6 | + | 1.98781e7i | −0.0769581 | + | 0.160949i | ||||
\(499\) | −1.49891e8 | + | 1.49891e8i | −1.20635 | + | 1.20635i | −0.234152 | + | 0.972200i | \(0.575231\pi\) |
−0.972200 | + | 0.234152i | \(0.924769\pi\) | |||||||
\(500\) | 7.70640e6 | − | 7.19932e7i | 0.0616512 | − | 0.575946i | ||||
\(501\) | −3.49396e7 | + | 3.49396e7i | −0.277846 | + | 0.277846i | ||||
\(502\) | 6.41380e7 | + | 1.81674e8i | 0.506996 | + | 1.43609i | ||||
\(503\) | −1.74504e8 | −1.37120 | −0.685600 | − | 0.727979i | \(-0.740460\pi\) | ||||
−0.685600 | + | 0.727979i | \(0.740460\pi\) | |||||||
\(504\) | 9.86027e6 | − | 2.33727e6i | 0.0770189 | − | 0.0182565i | ||||
\(505\) | − | 2.00325e7i | − | 0.155547i | ||||||
\(506\) | −3.56853e7 | − | 1.01080e8i | −0.275447 | − | 0.780214i | ||||
\(507\) | −5.31762e7 | − | 5.31762e7i | −0.408031 | − | 0.408031i | ||||
\(508\) | 6.40145e7 | − | 5.16350e7i | 0.488301 | − | 0.393870i | ||||
\(509\) | −9.29471e7 | − | 9.29471e7i | −0.704827 | − | 0.704827i | 0.260616 | − | 0.965443i | \(-0.416074\pi\) |
−0.965443 | + | 0.260616i | \(0.916074\pi\) | |||||||
\(510\) | −8.01791e6 | + | 1.67685e7i | −0.0604437 | + | 0.126411i | ||||
\(511\) | − | 1.94714e7i | − | 0.145927i | ||||||
\(512\) | 8.62835e7 | + | 1.02808e8i | 0.642862 | + | 0.765982i | ||||
\(513\) | 4.29826e7 | 0.318376 | ||||||||
\(514\) | 2.40186e7 | + | 1.14846e7i | 0.176872 | + | 0.0845719i | ||||
\(515\) | −4.85487e7 | + | 4.85487e7i | −0.355432 | + | 0.355432i | ||||
\(516\) | −8.63927e6 | − | 1.07105e7i | −0.0628822 | − | 0.0779583i | ||||
\(517\) | −1.48080e8 | + | 1.48080e8i | −1.07158 | + | 1.07158i | ||||
\(518\) | −2.53179e6 | + | 893823.i | −0.0182154 | + | 0.00643076i | ||||
\(519\) | −2.89512e6 | −0.0207092 | ||||||||
\(520\) | −227145. | − | 958261.i | −0.00161545 | − | 0.00681513i | ||||
\(521\) | − | 7.09637e7i | − | 0.501791i | −0.968014 | − | 0.250895i | \(-0.919275\pi\) | ||
0.968014 | − | 0.250895i | \(-0.0807251\pi\) | |||||||
\(522\) | 1.29205e7 | − | 4.56146e6i | 0.0908382 | − | 0.0320695i | ||||
\(523\) | −5.50191e7 | − | 5.50191e7i | −0.384599 | − | 0.384599i | 0.488157 | − | 0.872756i | \(-0.337669\pi\) |
−0.872756 | + | 0.488157i | \(0.837669\pi\) | |||||||
\(524\) | −2.40970e8 | − | 2.57942e7i | −1.67482 | − | 0.179279i | ||||
\(525\) | −1.27348e7 | − | 1.27348e7i | −0.0880062 | − | 0.0880062i | ||||
\(526\) | 3.81379e6 | + | 1.82357e6i | 0.0262059 | + | 0.0125304i | ||||
\(527\) | 7.50142e6i | 0.0512521i | ||||||||
\(528\) | 1.48182e7 | − | 6.84229e7i | 0.100669 | − | 0.464836i | ||||
\(529\) | 1.30573e6 | 0.00882036 | ||||||||
\(530\) | −1.65331e7 | + | 3.45770e7i | −0.111052 | + | 0.232252i | ||||
\(531\) | −1.59350e7 | + | 1.59350e7i | −0.106431 | + | 0.106431i | ||||
\(532\) | 5.88129e7 | + | 6.29553e6i | 0.390605 | + | 0.0418117i | ||||
\(533\) | 169583. | − | 169583.i | 0.00111995 | − | 0.00111995i | ||||
\(534\) | −3.82438e7 | − | 1.08327e8i | −0.251152 | − | 0.711400i | ||||
\(535\) | 3.71395e7 | 0.242535 | ||||||||
\(536\) | −9.62350e7 | − | 5.93543e7i | −0.624941 | − | 0.385441i | ||||
\(537\) | 7.68294e7i | 0.496141i | ||||||||
\(538\) | −2.70287e7 | − | 7.65598e7i | −0.173571 | − | 0.491648i | ||||
\(539\) | 8.60713e7 | + | 8.60713e7i | 0.549658 | + | 0.549658i | ||||
\(540\) | 5.77642e6 | + | 7.16132e6i | 0.0366841 | + | 0.0454791i | ||||
\(541\) | 9.74560e7 | + | 9.74560e7i | 0.615484 | + | 0.615484i | 0.944370 | − | 0.328886i | \(-0.106673\pi\) |
−0.328886 | + | 0.944370i | \(0.606673\pi\) | |||||||
\(542\) | 1.52309e7 | − | 3.18536e7i | 0.0956595 | − | 0.200060i | ||||
\(543\) | − | 7.26965e7i | − | 0.454061i | ||||||
\(544\) | −7.88281e7 | + | 1.01717e8i | −0.489648 | + | 0.631827i | ||||
\(545\) | 4.41461e7 | 0.272711 | ||||||||
\(546\) | −464432. | − | 222070.i | −0.00285328 | − | 0.00136430i | ||||
\(547\) | −6.39041e6 | + | 6.39041e6i | −0.0390451 | + | 0.0390451i | −0.726360 | − | 0.687315i | \(-0.758789\pi\) |
0.687315 | + | 0.726360i | \(0.258789\pi\) | |||||||
\(548\) | −2.18958e8 | + | 1.76614e8i | −1.33051 | + | 1.07321i | ||||
\(549\) | 1.13742e7 | − | 1.13742e7i | 0.0687388 | − | 0.0687388i | ||||
\(550\) | −1.17326e8 | + | 4.14208e7i | −0.705191 | + | 0.248961i | ||||
\(551\) | 7.99785e7 | 0.478100 | ||||||||
\(552\) | 8.30159e7 | + | 5.12013e7i | 0.493565 | + | 0.304413i | ||||
\(553\) | 6.88816e7i | 0.407312i | ||||||||
\(554\) | 2.72424e8 | − | 9.61766e7i | 1.60220 | − | 0.565640i | ||||
\(555\) | −1.72376e6 | − | 1.72376e6i | −0.0100832 | − | 0.0100832i | ||||
\(556\) | 2.86819e6 | − | 2.67946e7i | 0.0166872 | − | 0.155892i | ||||
\(557\) | −2.14251e8 | − | 2.14251e8i | −1.23982 | − | 1.23982i | −0.960075 | − | 0.279741i | \(-0.909751\pi\) |
−0.279741 | − | 0.960075i | \(-0.590249\pi\) | |||||||
\(558\) | 3.35000e6 | + | 1.60181e6i | 0.0192816 | + | 0.00921955i | ||||
\(559\) | 699051.i | 0.00400197i | ||||||||
\(560\) | 6.85495e6 | + | 1.06449e7i | 0.0390337 | + | 0.0606144i | ||||
\(561\) | 6.71241e7 | 0.380180 | ||||||||
\(562\) | 4.26202e7 | − | 8.91352e7i | 0.240108 | − | 0.502158i | ||||
\(563\) | 3.29830e7 | − | 3.29830e7i | 0.184827 | − | 0.184827i | −0.608628 | − | 0.793455i | \(-0.708280\pi\) |
0.793455 | + | 0.608628i | \(0.208280\pi\) | |||||||
\(564\) | 2.02810e7 | − | 1.89465e8i | 0.113045 | − | 1.05607i | ||||
\(565\) | −4.05683e7 | + | 4.05683e7i | −0.224927 | + | 0.224927i | ||||
\(566\) | 7.06741e7 | + | 2.00187e8i | 0.389772 | + | 1.10405i | ||||
\(567\) | 4.80945e6 | 0.0263844 | ||||||||
\(568\) | −3.07249e7 | − | 1.29620e8i | −0.167666 | − | 0.707338i | ||||
\(569\) | 3.50326e8i | 1.90167i | 0.309694 | + | 0.950836i | \(0.399773\pi\) | ||||
−0.309694 | + | 0.950836i | \(0.600227\pi\) | |||||||
\(570\) | 1.78781e7 | + | 5.06406e7i | 0.0965379 | + | 0.273447i | ||||
\(571\) | −1.89558e8 | − | 1.89558e8i | −1.01820 | − | 1.01820i | −0.999831 | − | 0.0183727i | \(-0.994151\pi\) |
−0.0183727 | − | 0.999831i | \(-0.505849\pi\) | |||||||
\(572\) | −2.76824e6 | + | 2.23290e6i | −0.0147916 | + | 0.0119311i | ||||
\(573\) | −1.10918e8 | − | 1.10918e8i | −0.589572 | − | 0.589572i | ||||
\(574\) | −1.33006e6 | + | 2.78165e6i | −0.00703290 | + | 0.0147085i | ||||
\(575\) | − | 1.73345e8i | − | 0.911815i | ||||||
\(576\) | 2.85927e7 | + | 5.69234e7i | 0.149619 | + | 0.297868i | ||||
\(577\) | 2.39174e8 | 1.24505 | 0.622525 | − | 0.782600i | \(-0.286107\pi\) | ||||
0.622525 | + | 0.782600i | \(0.286107\pi\) | |||||||
\(578\) | 6.28966e7 | + | 3.00742e7i | 0.325719 | + | 0.155744i | ||||
\(579\) | 8.27572e7 | − | 8.27572e7i | 0.426354 | − | 0.426354i | ||||
\(580\) | 1.07483e7 | + | 1.33252e7i | 0.0550878 | + | 0.0682951i | ||||
\(581\) | −1.01756e7 | + | 1.01756e7i | −0.0518839 | + | 0.0518839i | ||||
\(582\) | −1.63634e8 | + | 5.77693e7i | −0.830050 | + | 0.293041i | ||||
\(583\) | 1.38411e8 | 0.698498 | ||||||||
\(584\) | 1.19101e8 | − | 2.82315e7i | 0.597965 | − | 0.141741i | ||||
\(585\) | − | 467402.i | − | 0.00233466i | ||||||
\(586\) | 2.49210e8 | − | 8.79810e7i | 1.23843 | − | 0.437216i | ||||
\(587\) | 1.31381e8 | + | 1.31381e8i | 0.649558 | + | 0.649558i | 0.952886 | − | 0.303328i | \(-0.0980979\pi\) |
−0.303328 | + | 0.952886i | \(0.598098\pi\) | |||||||
\(588\) | −1.10126e8 | − | 1.17883e7i | −0.541701 | − | 0.0579855i | ||||
\(589\) | 1.53260e7 | + | 1.53260e7i | 0.0750037 | + | 0.0750037i | ||||
\(590\) | −2.54020e7 | − | 1.21460e7i | −0.123683 | − | 0.0591396i | ||||
\(591\) | − | 2.16706e8i | − | 1.04981i | ||||||
\(592\) | −9.13806e6 | − | 1.41902e7i | −0.0440442 | − | 0.0683950i | ||||
\(593\) | 3.40528e7 | 0.163301 | 0.0816504 | − | 0.996661i | \(-0.473981\pi\) | ||||
0.0816504 | + | 0.996661i | \(0.473981\pi\) | |||||||
\(594\) | 1.43333e7 | − | 2.99764e7i | 0.0683892 | − | 0.143028i | ||||
\(595\) | −8.58381e6 | + | 8.58381e6i | −0.0407501 | + | 0.0407501i | ||||
\(596\) | −2.80868e8 | − | 3.00651e7i | −1.32667 | − | 0.142011i | ||||
\(597\) | 1.19242e8 | − | 1.19242e8i | 0.560412 | − | 0.560412i | ||||
\(598\) | −1.64951e6 | − | 4.67230e6i | −0.00771349 | − | 0.0218488i | ||||
\(599\) | 3.20600e8 | 1.49170 | 0.745852 | − | 0.666112i | \(-0.232043\pi\) | ||||
0.745852 | + | 0.666112i | \(0.232043\pi\) | |||||||
\(600\) | 5.94306e7 | − | 9.63587e7i | 0.275142 | − | 0.446105i | ||||
\(601\) | 1.29953e8i | 0.598635i | 0.954154 | + | 0.299318i | \(0.0967590\pi\) | ||||
−0.954154 | + | 0.299318i | \(0.903241\pi\) | |||||||
\(602\) | −2.99187e6 | − | 8.47460e6i | −0.0137137 | − | 0.0388445i | ||||
\(603\) | −3.79452e7 | − | 3.79452e7i | −0.173063 | − | 0.173063i | ||||
\(604\) | 3.22591e7 | + | 3.99932e7i | 0.146400 | + | 0.181500i | ||||
\(605\) | 1.52788e7 | + | 1.52788e7i | 0.0689958 | + | 0.0689958i | ||||
\(606\) | 2.83960e7 | − | 5.93868e7i | 0.127597 | − | 0.266853i | ||||
\(607\) | − | 2.92063e8i | − | 1.30590i | −0.757401 | − | 0.652950i | \(-0.773531\pi\) | ||
0.757401 | − | 0.652950i | \(-0.226469\pi\) | |||||||
\(608\) | 4.67645e7 | + | 3.68868e8i | 0.208068 | + | 1.64120i | ||||
\(609\) | 8.94903e6 | 0.0396209 | ||||||||
\(610\) | 1.81316e7 | + | 8.66966e6i | 0.0798814 | + | 0.0381955i | ||||
\(611\) | −6.84481e6 | + | 6.84481e6i | −0.0300081 | + | 0.0300081i | ||||
\(612\) | −4.75385e7 | + | 3.83452e7i | −0.207392 | + | 0.167285i | ||||
\(613\) | −1.14280e8 | + | 1.14280e8i | −0.496123 | + | 0.496123i | −0.910229 | − | 0.414106i | \(-0.864094\pi\) |
0.414106 | + | 0.910229i | \(0.364094\pi\) | |||||||
\(614\) | −4.37954e7 | + | 1.54615e7i | −0.189201 | + | 0.0667955i | ||||
\(615\) | −2.79944e6 | −0.0120350 | ||||||||
\(616\) | 2.40028e7 | − | 3.89173e7i | 0.102688 | − | 0.166495i | ||||
\(617\) | − | 9.88451e6i | − | 0.0420823i | −0.999779 | − | 0.0210412i | \(-0.993302\pi\) | ||
0.999779 | − | 0.0210412i | \(-0.00669811\pi\) | |||||||
\(618\) | −2.12741e8 | + | 7.51061e7i | −0.901335 | + | 0.318207i | ||||
\(619\) | 7.00948e7 | + | 7.00948e7i | 0.295539 | + | 0.295539i | 0.839263 | − | 0.543725i | \(-0.182987\pi\) |
−0.543725 | + | 0.839263i | \(0.682987\pi\) | |||||||
\(620\) | −493803. | + | 4.61311e6i | −0.00207195 | + | 0.0193561i | ||||
\(621\) | 3.27329e7 | + | 3.27329e7i | 0.136682 | + | 0.136682i | ||||
\(622\) | 3.47164e8 | + | 1.65997e8i | 1.44266 | + | 0.689811i | ||||
\(623\) | − | 7.50298e7i | − | 0.310291i | ||||||
\(624\) | 684954. | − | 3.16276e6i | 0.00281908 | − | 0.0130171i | ||||
\(625\) | −1.78701e8 | −0.731958 | ||||||||
\(626\) | −5.51833e7 | + | 1.15409e8i | −0.224949 | + | 0.470455i | ||||
\(627\) | 1.37140e8 | − | 1.37140e8i | 0.556366 | − | 0.556366i | ||||
\(628\) | 4.82914e7 | − | 4.51138e8i | 0.194980 | − | 1.82151i | ||||
\(629\) | 1.14427e7 | − | 1.14427e7i | 0.0459809 | − | 0.0459809i | ||||
\(630\) | 2.00044e6 | + | 5.66632e6i | 0.00800025 | + | 0.0226610i | ||||
\(631\) | 3.77054e8 | 1.50078 | 0.750388 | − | 0.660998i | \(-0.229867\pi\) | ||||
0.750388 | + | 0.660998i | \(0.229867\pi\) | |||||||
\(632\) | −4.21327e8 | + | 9.98708e7i | −1.66905 | + | 0.395628i | ||||
\(633\) | 2.12342e8i | 0.837192i | ||||||||
\(634\) | −1.12440e8 | − | 3.18490e8i | −0.441217 | − | 1.24977i | ||||
\(635\) | 3.44854e7 | + | 3.44854e7i | 0.134684 | + | 0.134684i | ||||
\(636\) | −9.80253e7 | + | 7.90686e7i | −0.381037 | + | 0.307349i | ||||
\(637\) | 3.97854e6 | + | 3.97854e6i | 0.0153924 | + | 0.0153924i | ||||
\(638\) | 2.66703e7 | − | 5.57777e7i | 0.102699 | − | 0.214782i | ||||
\(639\) | − | 6.32235e7i | − | 0.242313i | ||||||
\(640\) | −5.51723e7 | + | 5.73635e7i | −0.210466 | + | 0.218824i | ||||
\(641\) | 9.95731e7 | 0.378066 | 0.189033 | − | 0.981971i | \(-0.439465\pi\) | ||||
0.189033 | + | 0.981971i | \(0.439465\pi\) | |||||||
\(642\) | 1.10101e8 | + | 5.26450e7i | 0.416088 | + | 0.198954i | ||||
\(643\) | −1.77761e8 | + | 1.77761e8i | −0.668659 | + | 0.668659i | −0.957406 | − | 0.288747i | \(-0.906761\pi\) |
0.288747 | + | 0.957406i | \(0.406761\pi\) | |||||||
\(644\) | 3.99940e7 | + | 4.95826e7i | 0.149740 | + | 0.185640i | ||||
\(645\) | 5.76990e6 | − | 5.76990e6i | 0.0215025 | − | 0.0215025i | ||||
\(646\) | −3.36164e8 | + | 1.18679e8i | −1.24696 | + | 0.440228i | ||||
\(647\) | 3.33059e7 | 0.122973 | 0.0614864 | − | 0.998108i | \(-0.480416\pi\) | ||||
0.0614864 | + | 0.998108i | \(0.480416\pi\) | |||||||
\(648\) | 6.97319e6 | + | 2.94179e7i | 0.0256275 | + | 0.108115i | ||||
\(649\) | 1.01684e8i | 0.371978i | ||||||||
\(650\) | −5.42326e6 | + | 1.91463e6i | −0.0197479 | + | 0.00697178i | ||||
\(651\) | 1.71487e6 | + | 1.71487e6i | 0.00621567 | + | 0.00621567i | ||||
\(652\) | −4.54847e8 | − | 4.86884e7i | −1.64105 | − | 0.175664i | ||||
\(653\) | 6.98414e7 | + | 6.98414e7i | 0.250826 | + | 0.250826i | 0.821309 | − | 0.570483i | \(-0.193244\pi\) |
−0.570483 | + | 0.821309i | \(0.693244\pi\) | |||||||
\(654\) | 1.30872e8 | + | 6.25768e7i | 0.467857 | + | 0.223707i | ||||
\(655\) | − | 1.43709e8i | − | 0.511400i | ||||||
\(656\) | −1.89429e7 | − | 4.10244e6i | −0.0671021 | − | 0.0145322i | ||||
\(657\) | 5.80926e7 | 0.204845 | ||||||||
\(658\) | 5.36846e7 | − | 1.12275e8i | 0.188439 | − | 0.394099i | ||||
\(659\) | −1.42365e7 | + | 1.42365e7i | −0.0497448 | + | 0.0497448i | −0.731542 | − | 0.681797i | \(-0.761199\pi\) |
0.681797 | + | 0.731542i | \(0.261199\pi\) | |||||||
\(660\) | 4.12789e7 | + | 4.41864e6i | 0.143581 | + | 0.0153694i | ||||
\(661\) | 3.36860e7 | − | 3.36860e7i | 0.116639 | − | 0.116639i | −0.646378 | − | 0.763017i | \(-0.723717\pi\) |
0.763017 | + | 0.646378i | \(0.223717\pi\) | |||||||
\(662\) | 5.75240e7 | + | 1.62939e8i | 0.198278 | + | 0.561631i | ||||
\(663\) | 3.10273e6 | 0.0106464 | ||||||||
\(664\) | −7.69947e7 | − | 4.74876e7i | −0.263000 | − | 0.162209i | ||||
\(665\) | 3.50748e7i | 0.119270i | ||||||||
\(666\) | −2.66670e6 | − | 7.55354e6i | −0.00902718 | − | 0.0255698i | ||||
\(667\) | 6.09067e7 | + | 6.09067e7i | 0.205252 | + | 0.205252i | ||||
\(668\) | −1.27365e8 | − | 1.57901e8i | −0.427289 | − | 0.529731i | ||||
\(669\) | 1.39982e8 | + | 1.39982e8i | 0.467512 | + | 0.467512i | ||||
\(670\) | 2.89228e7 | − | 6.04885e7i | 0.0961646 | − | 0.201117i | ||||
\(671\) | − | 7.25803e7i | − | 0.240243i | ||||||
\(672\) | 5.23262e6 | + | 4.12737e7i | 0.0172429 | + | 0.136008i | ||||
\(673\) | 1.32491e8 | 0.434651 | 0.217325 | − | 0.976099i | \(-0.430267\pi\) | ||||
0.217325 | + | 0.976099i | \(0.430267\pi\) | |||||||
\(674\) | 2.31189e8 | + | 1.10544e8i | 0.755071 | + | 0.361040i | ||||
\(675\) | 3.79939e7 | − | 3.79939e7i | 0.123539 | − | 0.123539i | ||||
\(676\) | 2.40317e8 | − | 1.93843e8i | 0.777937 | − | 0.627495i | ||||
\(677\) | 1.24130e8 | − | 1.24130e8i | 0.400048 | − | 0.400048i | −0.478202 | − | 0.878250i | \(-0.658711\pi\) |
0.878250 | + | 0.478202i | \(0.158711\pi\) | |||||||
\(678\) | −1.77771e8 | + | 6.27602e7i | −0.570390 | + | 0.201370i | ||||
\(679\) | −1.13336e8 | −0.362043 | ||||||||
\(680\) | −6.49501e7 | − | 4.00589e7i | −0.206563 | − | 0.127401i | ||||
\(681\) | − | 2.13054e8i | − | 0.674604i | ||||||
\(682\) | 1.57992e7 | − | 5.57774e6i | 0.0498060 | − | 0.0175835i | ||||
\(683\) | −2.13536e8 | − | 2.13536e8i | −0.670207 | − | 0.670207i | 0.287557 | − | 0.957764i | \(-0.407157\pi\) |
−0.957764 | + | 0.287557i | \(0.907157\pi\) | |||||||
\(684\) | −1.87826e7 | + | 1.75467e8i | −0.0586932 | + | 0.548312i | ||||
\(685\) | −1.17955e8 | − | 1.17955e8i | −0.366983 | − | 0.366983i | ||||
\(686\) | −1.34419e8 | − | 6.42728e7i | −0.416378 | − | 0.199093i | ||||
\(687\) | 1.64576e8i | 0.507570i | ||||||||
\(688\) | 4.74986e7 | − | 3.05876e7i | 0.145853 | − | 0.0939248i | ||||
\(689\) | 6.39788e6 | 0.0195604 | ||||||||
\(690\) | −2.49498e7 | + | 5.21796e7i | −0.0759487 | + | 0.158838i | ||||
\(691\) | −2.45627e8 | + | 2.45627e8i | −0.744460 | + | 0.744460i | −0.973433 | − | 0.228973i | \(-0.926463\pi\) |
0.228973 | + | 0.973433i | \(0.426463\pi\) | |||||||
\(692\) | 1.26511e6 | − | 1.18187e7i | 0.00381778 | − | 0.0356657i | ||||
\(693\) | 1.53450e7 | − | 1.53450e7i | 0.0461069 | − | 0.0461069i | ||||
\(694\) | −1.70503e7 | − | 4.82956e7i | −0.0510097 | − | 0.144487i | ||||
\(695\) | 1.59797e7 | 0.0476009 | ||||||||
\(696\) | 1.29751e7 | + | 5.47384e7i | 0.0384843 | + | 0.162355i | ||||
\(697\) | − | 1.85834e7i | − | 0.0548815i | ||||||
\(698\) | −1.29171e8 | − | 3.65882e8i | −0.379838 | − | 1.07591i | ||||
\(699\) | 1.73479e8 | + | 1.73479e8i | 0.507942 | + | 0.507942i | ||||
\(700\) | 5.75518e7 | − | 4.64220e7i | 0.167789 | − | 0.135341i | ||||
\(701\) | −1.47613e8 | − | 1.47613e8i | −0.428519 | − | 0.428519i | 0.459605 | − | 0.888124i | \(-0.347991\pi\) |
−0.888124 | + | 0.459605i | \(0.847991\pi\) | |||||||
\(702\) | 662540. | − | 1.38562e6i | 0.00191514 | − | 0.00400529i | ||||
\(703\) | − | 4.67567e7i | − | 0.134579i | ||||||
\(704\) | 2.72846e8 | + | 9.03917e7i | 0.781987 | + | 0.259066i | ||||
\(705\) | 1.12993e8 | 0.322466 | ||||||||
\(706\) | 1.16301e7 | + | 5.56095e6i | 0.0330497 | + | 0.0158028i | ||||
\(707\) | 3.04001e7 | − | 3.04001e7i | 0.0860236 | − | 0.0860236i | ||||
\(708\) | −5.80878e7 | − | 7.20143e7i | −0.163676 | − | 0.202917i | ||||
\(709\) | −3.51942e8 | + | 3.51942e8i | −0.987490 | + | 0.987490i | −0.999923 | − | 0.0124323i | \(-0.996043\pi\) |
0.0124323 | + | 0.999923i | \(0.496043\pi\) | |||||||
\(710\) | 7.44876e7 | − | 2.62971e7i | 0.208118 | − | 0.0734739i | ||||
\(711\) | −2.05507e8 | −0.571765 | ||||||||
\(712\) | 4.58934e8 | − | 1.08785e8i | 1.27148 | − | 0.301390i | ||||
\(713\) | 2.33426e7i | 0.0643994i | ||||||||
\(714\) | −3.76144e7 | + | 1.32794e7i | −0.103338 | + | 0.0364824i | ||||
\(715\) | −1.49129e6 | − | 1.49129e6i | −0.00407983 | − | 0.00407983i | ||||
\(716\) | −3.13639e8 | − | 3.35730e7i | −0.854459 | − | 0.0914642i | ||||
\(717\) | −1.97954e8 | − | 1.97954e8i | −0.537039 | − | 0.537039i | ||||
\(718\) | 2.02315e8 | + | 9.67375e7i | 0.546581 | + | 0.261349i | ||||
\(719\) | 1.45173e8i | 0.390571i | 0.980746 | + | 0.195286i | \(0.0625634\pi\) | ||||
−0.980746 | + | 0.195286i | \(0.937437\pi\) | |||||||
\(720\) | −3.17587e7 | + | 2.04516e7i | −0.0850874 | + | 0.0547936i | ||||
\(721\) | −1.47349e8 | −0.393135 | ||||||||
\(722\) | −2.81982e8 | + | 5.89732e8i | −0.749221 | + | 1.56691i | ||||
\(723\) | −1.95058e8 | + | 1.95058e8i | −0.516118 | + | 0.516118i | ||||
\(724\) | 2.96767e8 | + | 3.17670e7i | 0.781989 | + | 0.0837067i | ||||
\(725\) | 7.06960e7 | − | 7.06960e7i | 0.185516 | − | 0.185516i | ||||
\(726\) | 2.36367e7 | + | 6.69518e7i | 0.0617698 | + | 0.174966i | ||||
\(727\) | −6.00279e8 | −1.56225 | −0.781124 | − | 0.624375i | \(-0.785354\pi\) | ||||
−0.781124 | + | 0.624375i | \(0.785354\pi\) | |||||||
\(728\) | 1.10950e6 | − | 1.79890e6i | 0.00287563 | − | 0.00466244i | ||||
\(729\) | 1.43489e7i | 0.0370370i | ||||||||
\(730\) | 2.41630e7 | + | 6.84426e7i | 0.0621129 | + | 0.175937i | ||||
\(731\) | 3.83020e7 | + | 3.83020e7i | 0.0980549 | + | 0.0980549i | ||||
\(732\) | 4.14622e7 | + | 5.14028e7i | 0.105711 | + | 0.131055i | ||||
\(733\) | 2.06518e8 | + | 2.06518e8i | 0.524381 | + | 0.524381i | 0.918891 | − | 0.394511i | \(-0.129086\pi\) |
−0.394511 | + | 0.918891i | \(0.629086\pi\) | |||||||
\(734\) | 4.47457e7 | − | 9.35804e7i | 0.113152 | − | 0.236645i | ||||
\(735\) | − | 6.56770e7i | − | 0.165406i | ||||||
\(736\) | −2.45294e8 | + | 3.16520e8i | −0.615253 | + | 0.793904i | ||||
\(737\) | −2.42135e8 | −0.604859 | ||||||||
\(738\) | −8.29901e6 | − | 3.96819e6i | −0.0206470 | − | 0.00987243i | ||||
\(739\) | −2.55773e8 | + | 2.55773e8i | −0.633755 | + | 0.633755i | −0.949008 | − | 0.315252i | \(-0.897911\pi\) |
0.315252 | + | 0.949008i | \(0.397911\pi\) | |||||||
\(740\) | 7.79012e6 | − | 6.28362e6i | 0.0192242 | − | 0.0155065i | ||||
\(741\) | 6.33911e6 | − | 6.33911e6i | 0.0155802 | − | 0.0155802i | ||||
\(742\) | −7.75615e7 | + | 2.73823e7i | −0.189860 | + | 0.0670283i | ||||
\(743\) | −3.84449e8 | −0.937285 | −0.468643 | − | 0.883388i | \(-0.655257\pi\) | ||||
−0.468643 | + | 0.883388i | \(0.655257\pi\) | |||||||
\(744\) | −8.00295e6 | + | 1.29757e7i | −0.0194326 | + | 0.0315073i | ||||
\(745\) | − | 1.67504e8i | − | 0.405094i | ||||||
\(746\) | 1.29202e8 | − | 4.56136e7i | 0.311211 | − | 0.109870i | ||||
\(747\) | −3.03588e7 | − | 3.03588e7i | −0.0728320 | − | 0.0728320i | ||||
\(748\) | −2.93320e7 | + | 2.74019e8i | −0.0700868 | + | 0.654751i | ||||
\(749\) | 5.63606e7 | + | 5.63606e7i | 0.134131 | + | 0.134131i | ||||
\(750\) | 1.27282e8 | + | 6.08604e7i | 0.301706 | + | 0.144262i | ||||
\(751\) | 5.91852e8i | 1.39731i | 0.715458 | + | 0.698656i | \(0.246218\pi\) | ||||
−0.715458 | + | 0.698656i | \(0.753782\pi\) | |||||||
\(752\) | 7.64587e8 | + | 1.65585e8i | 1.79793 | + | 0.389375i | ||||
\(753\) | −3.75415e8 | −0.879278 | ||||||||
\(754\) | 1.23280e6 | − | 2.57825e6i | 0.00287593 | − | 0.00601467i | ||||
\(755\) | −2.15449e7 | + | 2.15449e7i | −0.0500614 | + | 0.0500614i | ||||
\(756\) | −2.10164e6 | + | 1.96335e7i | −0.00486399 | + | 0.0454395i | ||||
\(757\) | 2.68713e8 | − | 2.68713e8i | 0.619442 | − | 0.619442i | −0.325946 | − | 0.945388i | \(-0.605683\pi\) |
0.945388 | + | 0.325946i | \(0.105683\pi\) | |||||||
\(758\) | −2.83265e7 | − | 8.02359e7i | −0.0650407 | − | 0.184230i | ||||
\(759\) | 2.08874e8 | 0.477705 | ||||||||
\(760\) | −2.14541e8 | + | 5.08546e7i | −0.488731 | + | 0.115848i | ||||
\(761\) | − | 4.52025e8i | − | 1.02567i | −0.858487 | − | 0.512836i | \(-0.828595\pi\) | ||
0.858487 | − | 0.512836i | \(-0.171405\pi\) | |||||||
\(762\) | 5.33499e7 | + | 1.51116e8i | 0.120578 | + | 0.341543i | ||||
\(763\) | 6.69934e7 | + | 6.69934e7i | 0.150820 | + | 0.150820i | ||||
\(764\) | 5.01266e8 | − | 4.04328e8i | 1.12406 | − | 0.906679i | ||||
\(765\) | −2.56096e7 | − | 2.56096e7i | −0.0572030 | − | 0.0572030i | ||||
\(766\) | 2.21140e8 | − | 4.62489e8i | 0.492019 | − | 1.02900i | ||||
\(767\) | 4.70020e6i | 0.0104167i | ||||||||
\(768\) | −2.44872e8 | + | 9.18488e7i | −0.540574 | + | 0.202763i | ||||
\(769\) | −3.89939e8 | −0.857466 | −0.428733 | − | 0.903431i | \(-0.641040\pi\) | ||||
−0.428733 | + | 0.903431i | \(0.641040\pi\) | |||||||
\(770\) | 2.44614e7 | + | 1.16963e7i | 0.0535809 | + | 0.0256198i | ||||
\(771\) | −3.66823e7 | + | 3.66823e7i | −0.0800376 | + | 0.0800376i | ||||
\(772\) | 3.01675e8 | + | 3.74001e8i | 0.655673 | + | 0.812870i | ||||
\(773\) | 1.43202e8 | − | 1.43202e8i | 0.310035 | − | 0.310035i | −0.534888 | − | 0.844923i | \(-0.679646\pi\) |
0.844923 | + | 0.534888i | \(0.179646\pi\) | |||||||
\(774\) | 2.52838e7 | − | 8.92619e6i | 0.0545280 | − | 0.0192506i | ||||
\(775\) | 2.70944e7 | 0.0582069 | ||||||||
\(776\) | −1.64325e8 | − | 6.93243e8i | −0.351657 | − | 1.48354i | ||||
\(777\) | − | 5.23175e6i | − | 0.0111528i | ||||||
\(778\) | −3.02729e8 | + | 1.06875e8i | −0.642858 | + | 0.226954i | ||||
\(779\) | −3.79672e7 | − | 3.79672e7i | −0.0803150 | − | 0.0803150i | ||||
\(780\) | 1.90807e6 | + | 204246.i | 0.00402077 | + | 0.000430397i | ||||
\(781\) | −2.01720e8 | − | 2.01720e8i | −0.423444 | − | 0.423444i | ||||
\(782\) | −3.46381e8 | − | 1.65623e8i | −0.724325 | − | 0.346338i | ||||
\(783\) | 2.66993e7i | 0.0556178i | ||||||||
\(784\) | 9.62463e7 | − | 4.44415e8i | 0.199727 | − | 0.922234i | ||||
\(785\) | 2.69049e8 | 0.556189 | ||||||||
\(786\) | 2.03707e8 | − | 4.26029e8i | 0.419506 | − | 0.877347i | ||||
\(787\) | 6.07213e8 | − | 6.07213e8i | 1.24571 | − | 1.24571i | 0.288114 | − | 0.957596i | \(-0.406972\pi\) |
0.957596 | − | 0.288114i | \(-0.0930281\pi\) | |||||||
\(788\) | 8.84656e8 | + | 9.46966e7i | 1.80799 | + | 0.193533i | ||||
\(789\) | −5.82459e6 | + | 5.82459e6i | −0.0118586 | + | 0.0118586i | ||||
\(790\) | −8.54782e7 | − | 2.42121e8i | −0.173370 | − | 0.491078i | ||||
\(791\) | −1.23128e8 | −0.248787 | ||||||||
\(792\) | 1.16109e8 | + | 7.16118e7i | 0.233717 | + | 0.144148i | ||||
\(793\) | − | 3.35494e6i | − | 0.00672767i | ||||||
\(794\) | −3.25898e8 | − | 9.23119e8i | −0.651058 | − | 1.84415i | ||||
\(795\) | −5.28075e7 | − | 5.28075e7i | −0.105098 | − | 0.105098i | ||||
\(796\) | 4.34674e8 | + | 5.38887e8i | 0.861836 | + | 1.06846i | ||||
\(797\) | 5.04366e7 | + | 5.04366e7i | 0.0996255 | + | 0.0996255i | 0.755163 | − | 0.655537i | \(-0.227558\pi\) |
−0.655537 | + | 0.755163i | \(0.727558\pi\) | |||||||
\(798\) | −4.97183e7 | + | 1.03980e8i | −0.0978380 | + | 0.204616i | ||||
\(799\) | 7.50074e8i | 1.47049i | ||||||||
\(800\) | 3.67393e8 | + | 2.84719e8i | 0.717564 | + | 0.556092i | ||||
\(801\) | 2.23850e8 | 0.435571 | ||||||||
\(802\) | 4.26250e8 | + | 2.03812e8i | 0.826306 | + | 0.395101i | ||||
\(803\) | 1.85349e8 | − | 1.85349e8i | 0.357968 | − | 0.357968i | ||||
\(804\) | 1.71484e8 | − | 1.38322e8i | 0.329956 | − | 0.266147i | ||||
\(805\) | −2.67108e7 | + | 2.67108e7i | −0.0512034 | + | 0.0512034i | ||||
\(806\) | 730298. | − | 257824.i | 0.00139474 | − | 0.000492401i | ||||
\(807\) | 1.58205e8 | 0.301023 | ||||||||
\(808\) | 2.30025e8 | + | 1.41871e8i | 0.436055 | + | 0.268943i | ||||
\(809\) | − | 4.00282e8i | − | 0.755997i | −0.925806 | − | 0.377999i | \(-0.876612\pi\) | ||
0.925806 | − | 0.377999i | \(-0.123388\pi\) | |||||||
\(810\) | −1.69054e7 | + | 5.96827e6i | −0.0318104 | + | 0.0112303i | ||||
\(811\) | 8.86243e7 | + | 8.86243e7i | 0.166146 | + | 0.166146i | 0.785283 | − | 0.619137i | \(-0.212517\pi\) |
−0.619137 | + | 0.785283i | \(0.712517\pi\) | |||||||
\(812\) | −3.91056e6 | + | 3.65325e7i | −0.00730417 | + | 0.0682356i | ||||
\(813\) | 4.86483e7 | + | 4.86483e7i | 0.0905308 | + | 0.0905308i | ||||
\(814\) | −3.26085e7 | − | 1.55919e7i | −0.0604586 | − | 0.0289085i | ||||
\(815\) | − | 2.71261e8i | − | 0.501089i | ||||||
\(816\) | −1.35763e8 | − | 2.10822e8i | −0.249867 | − | 0.388012i | ||||
\(817\) | 1.56508e8 | 0.286992 | ||||||||
\(818\) | −2.50732e8 | + | 5.24376e8i | −0.458089 | + | 0.958039i | ||||
\(819\) | 709301. | − | 709301.i | 0.00129116 | − | 0.00129116i | ||||
\(820\) | 1.22330e6 | − | 1.14281e7i | 0.00221867 | − | 0.0207268i | ||||
\(821\) | −2.23870e8 | + | 2.23870e8i | −0.404545 | + | 0.404545i | −0.879831 | − | 0.475286i | \(-0.842344\pi\) |
0.475286 | + | 0.879831i | \(0.342344\pi\) | |||||||
\(822\) | −1.82480e8 | − | 5.16882e8i | −0.328549 | − | 0.930628i | ||||
\(823\) | 1.27752e8 | 0.229175 | 0.114587 | − | 0.993413i | \(-0.463445\pi\) | ||||
0.114587 | + | 0.993413i | \(0.463445\pi\) | |||||||
\(824\) | −2.13640e8 | − | 9.01289e8i | −0.381858 | − | 1.61095i | ||||
\(825\) | − | 2.42446e8i | − | 0.431770i | ||||||
\(826\) | −2.01164e7 | − | 5.69806e7i | −0.0356953 | − | 0.101108i | ||||
\(827\) | −4.55767e8 | − | 4.55767e8i | −0.805798 | − | 0.805798i | 0.178197 | − | 0.983995i | \(-0.442974\pi\) |
−0.983995 | + | 0.178197i | \(0.942974\pi\) | |||||||
\(828\) | −1.47929e8 | + | 1.19321e8i | −0.260592 | + | 0.210197i | ||||
\(829\) | 3.03952e8 | + | 3.03952e8i | 0.533509 | + | 0.533509i | 0.921615 | − | 0.388106i | \(-0.126870\pi\) |
−0.388106 | + | 0.921615i | \(0.626870\pi\) | |||||||
\(830\) | 2.31402e7 | − | 4.83950e7i | 0.0404700 | − | 0.0846381i | ||||
\(831\) | 5.62944e8i | 0.980984i | ||||||||
\(832\) | 1.26120e7 | + | 4.17824e6i | 0.0218984 | + | 0.00725477i | ||||
\(833\) | 4.35980e8 | 0.754277 | ||||||||
\(834\) | 4.73722e7 | + | 2.26512e7i | 0.0816631 | + | 0.0390475i | ||||
\(835\) | 8.50633e7 | − | 8.50633e7i | 0.146111 | − | 0.146111i | ||||
\(836\) | 4.99915e8 | + | 6.19770e8i | 0.855613 | + | 1.06075i | ||||
\(837\) | −5.11628e6 | + | 5.11628e6i | −0.00872525 | + | 0.00872525i | ||||
\(838\) | −2.08842e8 | + | 7.37297e7i | −0.354884 | + | 0.125288i | ||||
\(839\) | 2.05872e8 | 0.348588 | 0.174294 | − | 0.984694i | \(-0.444236\pi\) | ||||
0.174294 | + | 0.984694i | \(0.444236\pi\) | |||||||
\(840\) | −2.40057e7 | + | 5.69027e6i | −0.0405019 | + | 0.00960053i | ||||
\(841\) | − | 5.45144e8i | − | 0.916480i | ||||||
\(842\) | −4.11023e8 | + | 1.45108e8i | −0.688542 | + | 0.243083i | ||||
\(843\) | 1.36131e8 | + | 1.36131e8i | 0.227235 | + | 0.227235i | ||||
\(844\) | −8.66840e8 | − | 9.27895e7i | −1.44182 | − | 0.154338i | ||||
\(845\) | 1.29462e8 | + | 1.29462e8i | 0.214571 | + | 0.214571i | ||||
\(846\) | 3.34970e8 | + | 1.60167e8i | 0.553216 | + | 0.264522i | ||||
\(847\) | 4.63723e7i | 0.0763147i | ||||||||
\(848\) | −2.79945e8 | − | 4.34718e8i | −0.459076 | − | 0.712886i | ||||
\(849\) | −4.13672e8 | −0.675979 | ||||||||
\(850\) | −1.92243e8 | + | 4.02053e8i | −0.313035 | + | 0.654676i | ||||
\(851\) | 3.56071e7 | − | 3.56071e7i | 0.0577760 | − | 0.0577760i | ||||
\(852\) | 2.58096e8 | + | 2.76275e7i | 0.417314 | + | 0.0446707i | ||||
\(853\) | 8.70314e8 | − | 8.70314e8i | 1.40226 | − | 1.40226i | 0.609391 | − | 0.792870i | \(-0.291414\pi\) |
0.792870 | − | 0.609391i | \(-0.208586\pi\) | |||||||
\(854\) | 1.43588e7 | + | 4.06719e7i | 0.0230539 | + | 0.0653012i | ||||
\(855\) | −1.04645e8 | −0.167425 | ||||||||
\(856\) | −2.63023e8 | + | 4.26457e8i | −0.419347 | + | 0.679914i | ||||
\(857\) | 3.02830e8i | 0.481124i | 0.970634 | + | 0.240562i | \(0.0773318\pi\) | ||||
−0.970634 | + | 0.240562i | \(0.922668\pi\) | |||||||
\(858\) | −2.30706e6 | − | 6.53483e6i | −0.00365255 | − | 0.0103460i | ||||
\(859\) | 4.31496e8 | + | 4.31496e8i | 0.680765 | + | 0.680765i | 0.960173 | − | 0.279408i | \(-0.0901381\pi\) |
−0.279408 | + | 0.960173i | \(0.590138\pi\) | |||||||
\(860\) | 2.10330e7 | + | 2.60757e7i | 0.0330679 | + | 0.0409959i | ||||
\(861\) | −4.24827e6 | − | 4.24827e6i | −0.00665583 | − | 0.00665583i | ||||
\(862\) | −2.65349e7 | + | 5.54946e7i | −0.0414282 | + | 0.0866422i | ||||
\(863\) | 3.92538e8i | 0.610729i | 0.952235 | + | 0.305365i | \(0.0987784\pi\) | ||||
−0.952235 | + | 0.305365i | \(0.901222\pi\) | |||||||
\(864\) | −1.23139e8 | + | 1.56114e7i | −0.190922 | + | 0.0242048i | ||||
\(865\) | 7.04841e6 | 0.0108904 | ||||||||
\(866\) | −4.41558e8 | − | 2.11132e8i | −0.679883 | − | 0.325088i | ||||
\(867\) | −9.60585e7 | + | 9.60585e7i | −0.147394 | + | 0.147394i | ||||
\(868\) | −7.74994e6 | + | 6.25121e6i | −0.0118506 | + | 0.00955884i | ||||
\(869\) | −6.55686e8 | + | 6.55686e8i | −0.999164 | + | 0.999164i | ||||
\(870\) | −3.14561e7 | + | 1.11053e7i | −0.0477691 | + | 0.0168644i | ||||
\(871\) | −1.11924e7 | −0.0169382 | ||||||||
\(872\) | −3.12645e8 | + | 5.06911e8i | −0.471521 | + | 0.764508i | ||||
\(873\) | − | 3.38137e8i | − | 0.508218i | ||||||
\(874\) | −1.04606e9 | + | 3.69302e8i | −1.56684 | + | 0.553156i | ||||
\(875\) | 6.51559e7 | + | 6.51559e7i | 0.0972589 | + | 0.0972589i | ||||
\(876\) | −2.53854e7 | + | 2.37150e8i | −0.0377634 | + | 0.352786i | ||||
\(877\) | −7.63567e8 | − | 7.63567e8i | −1.13201 | − | 1.13201i | −0.989843 | − | 0.142162i | \(-0.954595\pi\) |
−0.142162 | − | 0.989843i | \(-0.545405\pi\) | |||||||
\(878\) | −1.77906e8 | − | 8.50661e7i | −0.262849 | − | 0.125682i | ||||
\(879\) | 5.14973e8i | 0.758260i | ||||||||
\(880\) | −3.60762e7 | + | 1.66581e8i | −0.0529387 | + | 0.244443i | ||||
\(881\) | −8.54724e8 | −1.24997 | −0.624983 | − | 0.780638i | \(-0.714894\pi\) | ||||
−0.624983 | + | 0.780638i | \(0.714894\pi\) | |||||||
\(882\) | 9.30968e7 | − | 1.94701e8i | 0.135684 | − | 0.283767i | ||||
\(883\) | 4.53290e8 | − | 4.53290e8i | 0.658406 | − | 0.658406i | −0.296596 | − | 0.955003i | \(-0.595852\pi\) |
0.955003 | + | 0.296596i | \(0.0958516\pi\) | |||||||
\(884\) | −1.35583e6 | + | 1.26662e7i | −0.00196268 | + | 0.0183354i | ||||
\(885\) | 3.87950e7 | − | 3.87950e7i | 0.0559689 | − | 0.0559689i | ||||
\(886\) | −1.64265e8 | − | 4.65287e8i | −0.236180 | − | 0.668991i | ||||
\(887\) | −9.71858e8 | −1.39262 | −0.696309 | − | 0.717742i | \(-0.745176\pi\) | ||||
−0.696309 | + | 0.717742i | \(0.745176\pi\) | |||||||
\(888\) | 3.20010e7 | − | 7.58547e6i | 0.0457009 | − | 0.0108329i | ||||
\(889\) | 1.04666e8i | 0.148971i | ||||||||
\(890\) | 9.31078e7 | + | 2.63732e8i | 0.132074 | + | 0.374104i | ||||
\(891\) | 4.57814e7 | + | 4.57814e7i | 0.0647226 | + | 0.0647226i | ||||
\(892\) | −6.32613e8 | + | 5.10275e8i | −0.891341 | + | 0.718968i | ||||
\(893\) | 1.53246e9 | + | 1.53246e9i | 2.15196 | + | 2.15196i | ||||
\(894\) | 2.37435e8 | − | 4.96568e8i | 0.332302 | − | 0.694970i | ||||
\(895\) | − | 1.87048e8i | − | 0.260906i | ||||||
\(896\) | −1.70778e8 | + | 3.32518e6i | −0.237414 | + | 0.00462265i | ||||
\(897\) | 9.65495e6 | 0.0133774 | ||||||||
\(898\) | −1.22603e7 | − | 5.86228e6i | −0.0169305 | − | 0.00809538i | ||||
\(899\) | −9.51995e6 | + | 9.51995e6i | −0.0131025 | + | 0.0131025i | ||||
\(900\) | 1.38499e8 | + | 1.71705e8i | 0.189985 | + | 0.235534i | ||||
\(901\) | 3.50549e8 | − | 3.50549e8i | 0.479263 | − | 0.479263i | ||||
\(902\) | −3.91395e7 | + | 1.38178e7i | −0.0533330 | + | 0.0188287i | ||||
\(903\) | 1.75121e7 | 0.0237835 | ||||||||
\(904\) | −1.78522e8 | − | 7.53136e8i | −0.241650 | − | 1.01945i | ||||
\(905\) | 1.76986e8i | 0.238777i | ||||||||
\(906\) | −9.44099e7 | + | 3.33305e7i | −0.126950 | + | 0.0448184i | ||||
\(907\) | −1.75732e8 | − | 1.75732e8i | −0.235521 | − | 0.235521i | 0.579472 | − | 0.814992i | \(-0.303259\pi\) |
−0.814992 | + | 0.579472i | \(0.803259\pi\) | |||||||
\(908\) | 8.69747e8 | + | 9.31007e7i | 1.16181 | + | 0.124364i | ||||
\(909\) | 9.06982e7 | + | 9.06982e7i | 0.120756 | + | 0.120756i | ||||
\(910\) | 1.13070e6 | + | 540647.i | 0.00150045 | + | 0.000717447i | ||||
\(911\) | 6.20037e8i | 0.820091i | 0.912065 | + | 0.410046i | \(0.134487\pi\) | ||||
−0.912065 | + | 0.410046i | \(0.865513\pi\) | |||||||
\(912\) | −7.08099e8 | − | 1.53352e8i | −0.933489 | − | 0.202164i | ||||
\(913\) | −1.93724e8 | −0.254549 | ||||||||
\(914\) | −4.37845e8 | + | 9.15701e8i | −0.573432 | + | 1.19926i | ||||
\(915\) | −2.76913e7 | + | 2.76913e7i | −0.0361477 | + | 0.0361477i | ||||
\(916\) | −6.71845e8 | − | 7.19166e7i | −0.874144 | − | 0.0935713i | ||||
\(917\) | 2.18084e8 | − | 2.18084e8i | 0.282824 | − | 0.282824i | ||||
\(918\) | −3.96188e7 | − | 1.12222e8i | −0.0512121 | − | 0.145060i | ||||
\(919\) | −6.45209e8 | −0.831292 | −0.415646 | − | 0.909526i | \(-0.636445\pi\) | ||||
−0.415646 | + | 0.909526i | \(0.636445\pi\) | |||||||
\(920\) | −2.02109e8 | − | 1.24654e8i | −0.259551 | − | 0.160082i | ||||
\(921\) | − | 9.04999e7i | − | 0.115843i | ||||||
\(922\) | 3.73186e8 | + | 1.05706e9i | 0.476137 | + | 1.34868i | ||||
\(923\) | −9.32425e6 | − | 9.32425e6i | −0.0118579 | − | 0.0118579i | ||||
\(924\) | 5.59370e7 | + | 6.93479e7i | 0.0709060 | + | 0.0879057i | ||||
\(925\) | −4.13300e7 | − | 4.13300e7i | −0.0522204 | − | 0.0522204i | ||||
\(926\) | −2.69939e8 | + | 5.64545e8i | −0.339964 | + | 0.710994i | ||||
\(927\) | − | 4.39613e8i | − | 0.551864i | ||||||
\(928\) | −2.29128e8 | + | 2.90484e7i | −0.286704 | + | 0.0363479i | ||||
\(929\) | 8.35063e8 | 1.04153 | 0.520765 | − | 0.853700i | \(-0.325647\pi\) | ||||
0.520765 | + | 0.853700i | \(0.325647\pi\) | |||||||
\(930\) | −8.15587e6 | − | 3.89975e6i | −0.0101396 | − | 0.00484829i | ||||
\(931\) | 8.90740e8 | − | 8.90740e8i | 1.10383 | − | 1.10383i | ||||
\(932\) | −7.83995e8 | + | 6.32381e8i | −0.968424 | + | 0.781144i | ||||
\(933\) | −5.30204e8 | + | 5.30204e8i | −0.652827 | + | 0.652827i | ||||
\(934\) | 4.43218e8 | − | 1.56473e8i | 0.543972 | − | 0.192044i | ||||
\(935\) | −1.63419e8 | −0.199926 | ||||||||
\(936\) | 5.36699e6 | + | 3.31017e6i | 0.00654490 | + | 0.00403666i | ||||
\(937\) | − | 9.19162e8i | − | 1.11731i | −0.829401 | − | 0.558654i | \(-0.811318\pi\) | ||
0.829401 | − | 0.558654i | \(-0.188682\pi\) | |||||||
\(938\) | 1.35685e8 | − | 4.79023e7i | 0.164408 | − | 0.0580427i | ||||
\(939\) | −1.76258e8 | − | 1.76258e8i | −0.212889 | − | 0.212889i | ||||
\(940\) | −4.93758e7 | + | 4.61269e8i | −0.0594471 | + | 0.555355i | ||||
\(941\) | 4.64558e8 | + | 4.64558e8i | 0.557534 | + | 0.557534i | 0.928605 | − | 0.371071i | \(-0.121009\pi\) |
−0.371071 | + | 0.928605i | \(0.621009\pi\) | |||||||
\(942\) | 7.97602e8 | + | 3.81376e8i | 0.954187 | + | 0.456247i | ||||
\(943\) | − | 5.78270e7i | − | 0.0689598i | ||||||
\(944\) | 3.19366e8 | − | 2.05662e8i | 0.379641 | − | 0.244477i | ||||
\(945\) | −1.17090e7 | −0.0138747 | ||||||||
\(946\) | 5.21903e7 | − | 1.09150e8i | 0.0616477 | − | 0.128929i | ||||
\(947\) | 2.95450e8 | − | 2.95450e8i | 0.347884 | − | 0.347884i | −0.511437 | − | 0.859321i | \(-0.670887\pi\) |
0.859321 | + | 0.511437i | \(0.170887\pi\) | |||||||
\(948\) | 8.98026e7 | − | 8.38936e8i | 0.105406 | − | 0.984700i | ||||
\(949\) | 8.56754e6 | − | 8.56754e6i | 0.0100244 | − | 0.0100244i | ||||
\(950\) | 4.28658e8 | + | 1.21419e9i | 0.499966 | + | 1.41617i | ||||
\(951\) | 6.58136e8 | 0.765199 | ||||||||
\(952\) | −3.77734e7 | − | 1.59355e8i | −0.0437799 | − | 0.184695i | ||||
\(953\) | 9.92140e8i | 1.14629i | 0.819454 | + | 0.573145i | \(0.194277\pi\) | ||||
−0.819454 | + | 0.573145i | \(0.805723\pi\) | |||||||
\(954\) | −8.16946e7 | − | 2.31403e8i | −0.0940910 | − | 0.266517i | ||||
\(955\) | 2.70038e8 | + | 2.70038e8i | 0.310038 | + | 0.310038i | ||||
\(956\) | 8.94604e8 | − | 7.21600e8i | 1.02390 | − | 0.825891i | ||||
\(957\) | 8.51862e7 | + | 8.51862e7i | 0.0971927 | + | 0.0971927i | ||||
\(958\) | 5.10622e8 | − | 1.06790e9i | 0.580768 | − | 1.21461i | ||||
\(959\) | − | 3.58004e8i | − | 0.405912i | ||||||
\(960\) | −6.96112e7 | − | 1.38585e8i | −0.0786802 | − | 0.156640i | ||||
\(961\) | 8.83855e8 | 0.995889 | ||||||||
\(962\) | −1.50729e6 | − | 720715.i | −0.00169306 | − | 0.000809540i | ||||
\(963\) | −1.68151e8 | + | 1.68151e8i | −0.188287 | + | 0.188287i | ||||
\(964\) | −7.11045e8 | − | 8.81518e8i | −0.793718 | − | 0.984012i | ||||
\(965\) | −2.01479e8 | + | 2.01479e8i | −0.224207 | + | 0.224207i | ||||
\(966\) | −1.17047e8 | + | 4.13223e7i | −0.129846 | + | 0.0458409i | ||||
\(967\) | −4.13366e8 | −0.457147 | −0.228573 | − | 0.973527i | \(-0.573406\pi\) | ||||
−0.228573 | + | 0.973527i | \(0.573406\pi\) | |||||||
\(968\) | −2.83645e8 | + | 6.72348e7i | −0.312715 | + | 0.0741256i | ||||
\(969\) | − | 6.94657e8i | − | 0.763483i | ||||||
\(970\) | 3.98380e8 | − | 1.40644e8i | 0.436499 | − | 0.154101i | ||||
\(971\) | −8.79406e8 | − | 8.79406e8i | −0.960576 | − | 0.960576i | 0.0386761 | − | 0.999252i | \(-0.487686\pi\) |
−0.999252 | + | 0.0386761i | \(0.987686\pi\) | |||||||
\(972\) | −5.85763e7 | − | 6.27020e6i | −0.0637856 | − | 0.00682783i | ||||
\(973\) | 2.42499e7 | + | 2.42499e7i | 0.0263252 | + | 0.0263252i | ||||
\(974\) | −1.05859e9 | − | 5.06167e8i | −1.14565 | − | 0.547794i | ||||
\(975\) | − | 1.12067e7i | − | 0.0120911i | ||||||
\(976\) | −2.27959e8 | + | 1.46798e8i | −0.245192 | + | 0.157896i | ||||
\(977\) | −1.52615e9 | −1.63649 | −0.818243 | − | 0.574873i | \(-0.805052\pi\) | ||||
−0.818243 | + | 0.574873i | \(0.805052\pi\) | |||||||
\(978\) | 3.84511e8 | − | 8.04159e8i | 0.411048 | − | 0.859658i | ||||
\(979\) | 7.14211e8 | − | 7.14211e8i | 0.761165 | − | 0.761165i | ||||
\(980\) | 2.68112e8 | + | 2.86996e7i | 0.284864 | + | 0.0304928i | ||||
\(981\) | −1.99873e8 | + | 1.99873e8i | −0.211713 | + | 0.211713i | ||||
\(982\) | −1.92052e8 | − | 5.43995e8i | −0.202808 | − | 0.574461i | ||||
\(983\) | 1.39922e9 | 1.47308 | 0.736538 | − | 0.676396i | \(-0.236459\pi\) | ||||
0.736538 | + | 0.676396i | \(0.236459\pi\) | |||||||
\(984\) | 1.98258e7 | − | 3.21448e7i | 0.0208087 | − | 0.0337385i | ||||
\(985\) | 5.27590e8i | 0.552062i | ||||||||
\(986\) | −7.37193e7 | − | 2.08813e8i | −0.0769043 | − | 0.217835i | ||||
\(987\) | 1.71471e8 | + | 1.71471e8i | 0.178336 | + | 0.178336i | ||||
\(988\) | 2.31079e7 | + | 2.86481e7i | 0.0239602 | + | 0.0297047i | ||||
\(989\) | 1.19187e8 | + | 1.19187e8i | 0.123208 | + | 0.123208i | ||||
\(990\) | −3.48957e7 | + | 7.29802e7i | −0.0359639 | + | 0.0752141i | ||||
\(991\) | − | 5.93840e8i | − | 0.610167i | −0.952326 | − | 0.305083i | \(-0.901316\pi\) | ||
0.952326 | − | 0.305083i | \(-0.0986843\pi\) | |||||||
\(992\) | −4.94733e7 | − | 3.83404e7i | −0.0506799 | − | 0.0392755i | ||||
\(993\) | −3.36701e8 | −0.343872 | ||||||||
\(994\) | 1.52945e8 | + | 7.31310e7i | 0.155731 | + | 0.0744634i | ||||
\(995\) | −2.90306e8 | + | 2.90306e8i | −0.294704 | + | 0.294704i | ||||
\(996\) | 1.37199e8 | − | 1.10667e8i | 0.138859 | − | 0.112006i | ||||
\(997\) | 3.37349e8 | − | 3.37349e8i | 0.340403 | − | 0.340403i | −0.516116 | − | 0.856519i | \(-0.672623\pi\) |
0.856519 | + | 0.516116i | \(0.172623\pi\) | |||||||
\(998\) | 1.59910e9 | − | 5.64544e8i | 1.60873 | − | 0.567945i | ||||
\(999\) | 1.56088e7 | 0.0156557 |
(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 | 48.7.l.a.19.5 | ✓ | 48 | |
4.3 | odd | 2 | 192.7.l.a.175.4 | 48 | |||
8.3 | odd | 2 | 384.7.l.a.223.21 | 48 | |||
8.5 | even | 2 | 384.7.l.b.223.4 | 48 | |||
16.3 | odd | 4 | 384.7.l.b.31.4 | 48 | |||
16.5 | even | 4 | 192.7.l.a.79.4 | 48 | |||
16.11 | odd | 4 | inner | 48.7.l.a.43.5 | yes | 48 | |
16.13 | even | 4 | 384.7.l.a.31.21 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
48.7.l.a.19.5 | ✓ | 48 | 1.1 | even | 1 | trivial | |
48.7.l.a.43.5 | yes | 48 | 16.11 | odd | 4 | inner | |
192.7.l.a.79.4 | 48 | 16.5 | even | 4 | |||
192.7.l.a.175.4 | 48 | 4.3 | odd | 2 | |||
384.7.l.a.31.21 | 48 | 16.13 | even | 4 | |||
384.7.l.a.223.21 | 48 | 8.3 | odd | 2 | |||
384.7.l.b.31.4 | 48 | 16.3 | odd | 4 | |||
384.7.l.b.223.4 | 48 | 8.5 | even | 2 |