Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [13,7,Mod(2,13)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(13, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("13.2");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 13 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 13.f (of order \(12\), degree \(4\), 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: | \(2.99070308706\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 11.4 | ||
Character | \(\chi\) | \(=\) | 13.11 |
Dual form | 13.7.f.a.6.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/13\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{7}{12}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.76668 | − | 6.59335i | 0.220835 | − | 0.824169i | −0.763195 | − | 0.646168i | \(-0.776370\pi\) |
0.984030 | − | 0.178001i | \(-0.0569629\pi\) | |||||||
\(3\) | −10.7542 | − | 18.6268i | −0.398303 | − | 0.689881i | 0.595214 | − | 0.803567i | \(-0.297067\pi\) |
−0.993517 | + | 0.113687i | \(0.963734\pi\) | |||||||
\(4\) | 15.0745 | + | 8.70327i | 0.235539 | + | 0.135989i | ||||
\(5\) | −144.857 | − | 144.857i | −1.15886 | − | 1.15886i | −0.984722 | − | 0.174134i | \(-0.944287\pi\) |
−0.174134 | − | 0.984722i | \(-0.555713\pi\) | |||||||
\(6\) | −141.812 | + | 37.9984i | −0.656538 | + | 0.175919i | ||||
\(7\) | 49.5658 | + | 184.982i | 0.144507 | + | 0.539306i | 0.999777 | + | 0.0211237i | \(0.00672440\pi\) |
−0.855270 | + | 0.518182i | \(0.826609\pi\) | |||||||
\(8\) | 392.922 | − | 392.922i | 0.767427 | − | 0.767427i | ||||
\(9\) | 133.195 | − | 230.701i | 0.182710 | − | 0.316463i | ||||
\(10\) | −1211.01 | + | 699.177i | −1.21101 | + | 0.699177i | ||||
\(11\) | 1439.16 | + | 385.622i | 1.08126 | + | 0.289724i | 0.755114 | − | 0.655594i | \(-0.227582\pi\) |
0.326150 | + | 0.945318i | \(0.394248\pi\) | |||||||
\(12\) | − | 374.386i | − | 0.216659i | ||||||
\(13\) | 1708.06 | + | 1381.79i | 0.777449 | + | 0.628946i | ||||
\(14\) | 1307.22 | 0.476391 | ||||||||
\(15\) | −1140.40 | + | 4256.04i | −0.337897 | + | 1.26105i | ||||
\(16\) | −1339.50 | − | 2320.08i | −0.327026 | − | 0.566425i | ||||
\(17\) | −5325.85 | − | 3074.88i | −1.08403 | − | 0.625866i | −0.152051 | − | 0.988373i | \(-0.548588\pi\) |
−0.931981 | + | 0.362507i | \(0.881921\pi\) | |||||||
\(18\) | −1285.78 | − | 1285.78i | −0.220470 | − | 0.220470i | ||||
\(19\) | 2668.98 | − | 715.152i | 0.389121 | − | 0.104265i | −0.0589537 | − | 0.998261i | \(-0.518776\pi\) |
0.448075 | + | 0.893996i | \(0.352110\pi\) | |||||||
\(20\) | −922.918 | − | 3444.38i | −0.115365 | − | 0.430547i | ||||
\(21\) | 2912.58 | − | 2912.58i | 0.314499 | − | 0.314499i | ||||
\(22\) | 5085.09 | − | 8807.63i | 0.477563 | − | 0.827163i | ||||
\(23\) | −1100.31 | + | 635.262i | −0.0904337 | + | 0.0522119i | −0.544535 | − | 0.838738i | \(-0.683294\pi\) |
0.454101 | + | 0.890950i | \(0.349960\pi\) | |||||||
\(24\) | −11544.4 | − | 3093.32i | −0.835101 | − | 0.223765i | ||||
\(25\) | 26342.1i | 1.68589i | ||||||||
\(26\) | 12128.2 | − | 8820.62i | 0.690046 | − | 0.501856i | ||||
\(27\) | −21409.2 | −1.08770 | ||||||||
\(28\) | −862.768 | + | 3219.90i | −0.0393025 | + | 0.146679i | ||||
\(29\) | 14334.4 | + | 24827.9i | 0.587741 | + | 1.01800i | 0.994528 | + | 0.104474i | \(0.0333160\pi\) |
−0.406786 | + | 0.913523i | \(0.633351\pi\) | |||||||
\(30\) | 26046.8 | + | 15038.1i | 0.964697 | + | 0.556968i | ||||
\(31\) | −2357.22 | − | 2357.22i | −0.0791253 | − | 0.0791253i | 0.666436 | − | 0.745562i | \(-0.267819\pi\) |
−0.745562 | + | 0.666436i | \(0.767819\pi\) | |||||||
\(32\) | 16687.9 | − | 4471.52i | 0.509275 | − | 0.136460i | ||||
\(33\) | −8294.10 | − | 30954.0i | −0.230796 | − | 0.861341i | ||||
\(34\) | −29682.9 | + | 29682.9i | −0.755212 | + | 0.755212i | ||||
\(35\) | 19616.0 | − | 33975.9i | 0.457516 | − | 0.792440i | ||||
\(36\) | 4015.71 | − | 2318.47i | 0.0860706 | − | 0.0496929i | ||||
\(37\) | 37580.6 | + | 10069.7i | 0.741923 | + | 0.198798i | 0.609933 | − | 0.792453i | \(-0.291196\pi\) |
0.131991 | + | 0.991251i | \(0.457863\pi\) | |||||||
\(38\) | − | 18861.0i | − | 0.343727i | ||||||
\(39\) | 7369.63 | − | 46675.6i | 0.124237 | − | 0.786858i | ||||
\(40\) | −113835. | −1.77867 | ||||||||
\(41\) | −18395.3 | + | 68652.4i | −0.266905 | + | 0.996102i | 0.694169 | + | 0.719812i | \(0.255772\pi\) |
−0.961074 | + | 0.276290i | \(0.910895\pi\) | |||||||
\(42\) | −14058.1 | − | 24349.3i | −0.189748 | − | 0.328653i | ||||
\(43\) | −51822.0 | − | 29919.5i | −0.651792 | − | 0.376312i | 0.137351 | − | 0.990522i | \(-0.456141\pi\) |
−0.789142 | + | 0.614210i | \(0.789475\pi\) | |||||||
\(44\) | 18338.5 | + | 18338.5i | 0.215281 | + | 0.215281i | ||||
\(45\) | −52713.0 | + | 14124.4i | −0.578469 | + | 0.155000i | ||||
\(46\) | 2244.61 | + | 8377.01i | 0.0230605 | + | 0.0860629i | ||||
\(47\) | 137657. | − | 137657.i | 1.32589 | − | 1.32589i | 0.416962 | − | 0.908924i | \(-0.363095\pi\) |
0.908924 | − | 0.416962i | \(-0.136905\pi\) | |||||||
\(48\) | −28810.4 | + | 49901.0i | −0.260510 | + | 0.451217i | ||||
\(49\) | 70125.5 | − | 40487.0i | 0.596057 | − | 0.344134i | ||||
\(50\) | 173683. | + | 46538.2i | 1.38946 | + | 0.372305i | ||||
\(51\) | 132271.i | 0.997137i | ||||||||
\(52\) | 13722.0 | + | 35695.5i | 0.0975903 | + | 0.253866i | ||||
\(53\) | −112420. | −0.755122 | −0.377561 | − | 0.925985i | \(-0.623237\pi\) | ||||
−0.377561 | + | 0.925985i | \(0.623237\pi\) | |||||||
\(54\) | −37823.3 | + | 141158.i | −0.240203 | + | 0.896449i | ||||
\(55\) | −152613. | − | 264333.i | −0.917281 | − | 1.58878i | ||||
\(56\) | 92159.0 | + | 53208.0i | 0.524776 | + | 0.302979i | ||||
\(57\) | −42023.7 | − | 42023.7i | −0.226918 | − | 0.226918i | ||||
\(58\) | 189024. | − | 50648.8i | 0.968796 | − | 0.259588i | ||||
\(59\) | 90422.1 | + | 337460.i | 0.440269 | + | 1.64311i | 0.728133 | + | 0.685436i | \(0.240388\pi\) |
−0.287864 | + | 0.957671i | \(0.592945\pi\) | |||||||
\(60\) | −54232.4 | + | 54232.4i | −0.251076 | + | 0.251076i | ||||
\(61\) | −83261.0 | + | 144212.i | −0.366819 | + | 0.635349i | −0.989066 | − | 0.147472i | \(-0.952887\pi\) |
0.622247 | + | 0.782821i | \(0.286220\pi\) | |||||||
\(62\) | −19706.5 | + | 11377.5i | −0.0826863 | + | 0.0477390i | ||||
\(63\) | 49277.5 | + | 13203.9i | 0.197073 | + | 0.0528055i | ||||
\(64\) | − | 289385.i | − | 1.10392i | ||||||
\(65\) | −47261.4 | − | 447586.i | −0.172094 | − | 1.62981i | ||||
\(66\) | −218744. | −0.760858 | ||||||||
\(67\) | −42309.5 | + | 157901.i | −0.140674 | + | 0.525003i | 0.859236 | + | 0.511580i | \(0.170939\pi\) |
−0.999910 | + | 0.0134230i | \(0.995727\pi\) | |||||||
\(68\) | −53523.0 | − | 92704.6i | −0.170221 | − | 0.294832i | ||||
\(69\) | 23665.8 | + | 13663.4i | 0.0720400 | + | 0.0415923i | ||||
\(70\) | −189360. | − | 189360.i | −0.552069 | − | 0.552069i | ||||
\(71\) | 312300. | − | 83680.6i | 0.872564 | − | 0.233803i | 0.205368 | − | 0.978685i | \(-0.434161\pi\) |
0.667196 | + | 0.744882i | \(0.267494\pi\) | |||||||
\(72\) | −38312.2 | − | 142983.i | −0.102645 | − | 0.383078i | ||||
\(73\) | −413644. | + | 413644.i | −1.06331 | + | 1.06331i | −0.0654504 | + | 0.997856i | \(0.520848\pi\) |
−0.997856 | + | 0.0654504i | \(0.979152\pi\) | |||||||
\(74\) | 132786. | − | 229992.i | 0.327686 | − | 0.567569i | ||||
\(75\) | 490669. | − | 283288.i | 1.16307 | − | 0.671497i | ||||
\(76\) | 46457.8 | + | 12448.3i | 0.105832 | + | 0.0283576i | ||||
\(77\) | 285333.i | 0.624999i | ||||||||
\(78\) | −294729. | − | 131052.i | −0.621068 | − | 0.276159i | ||||
\(79\) | 42458.2 | 0.0861154 | 0.0430577 | − | 0.999073i | \(-0.486290\pi\) | ||||
0.0430577 | + | 0.999073i | \(0.486290\pi\) | |||||||
\(80\) | −142044. | + | 530115.i | −0.277429 | + | 1.03538i | ||||
\(81\) | 133139. | + | 230603.i | 0.250525 | + | 0.433921i | ||||
\(82\) | 420150. | + | 242574.i | 0.762014 | + | 0.439949i | ||||
\(83\) | −432403. | − | 432403.i | −0.756231 | − | 0.756231i | 0.219403 | − | 0.975634i | \(-0.429589\pi\) |
−0.975634 | + | 0.219403i | \(0.929589\pi\) | |||||||
\(84\) | 69254.6 | − | 18556.7i | 0.116845 | − | 0.0313086i | ||||
\(85\) | 326069. | + | 1.21690e6i | 0.530948 | + | 1.98153i | ||||
\(86\) | −288823. | + | 288823.i | −0.454084 | + | 0.454084i | ||||
\(87\) | 308310. | − | 534008.i | 0.468198 | − | 0.810943i | ||||
\(88\) | 716999. | − | 413959.i | 1.05213 | − | 0.607449i | ||||
\(89\) | −112025. | − | 30017.0i | −0.158908 | − | 0.0425791i | 0.178488 | − | 0.983942i | \(-0.442879\pi\) |
−0.337396 | + | 0.941363i | \(0.609546\pi\) | |||||||
\(90\) | 372509.i | 0.510986i | ||||||||
\(91\) | −170946. | + | 384449.i | −0.226848 | + | 0.510170i | ||||
\(92\) | −22115.4 | −0.0284009 | ||||||||
\(93\) | −18557.5 | + | 69257.5i | −0.0230712 | + | 0.0861029i | ||||
\(94\) | −664427. | − | 1.15082e6i | −0.799952 | − | 1.38556i | ||||
\(95\) | −490216. | − | 283026.i | −0.571763 | − | 0.330108i | ||||
\(96\) | −262755. | − | 262755.i | −0.296987 | − | 0.296987i | ||||
\(97\) | 966713. | − | 259030.i | 1.05921 | − | 0.283815i | 0.313158 | − | 0.949701i | \(-0.398613\pi\) |
0.746053 | + | 0.665886i | \(0.231946\pi\) | |||||||
\(98\) | −143055. | − | 533890.i | −0.151994 | − | 0.567248i | ||||
\(99\) | 280653. | − | 280653.i | 0.289244 | − | 0.289244i | ||||
\(100\) | −229262. | + | 397094.i | −0.229262 | + | 0.397094i | ||||
\(101\) | −989996. | + | 571574.i | −0.960880 | + | 0.554764i | −0.896444 | − | 0.443157i | \(-0.853858\pi\) |
−0.0644364 | + | 0.997922i | \(0.520525\pi\) | |||||||
\(102\) | 872111. | + | 233681.i | 0.821809 | + | 0.220203i | ||||
\(103\) | − | 859775.i | − | 0.786816i | −0.919364 | − | 0.393408i | \(-0.871296\pi\) | ||
0.919364 | − | 0.393408i | \(-0.128704\pi\) | |||||||
\(104\) | 1.21407e6 | − | 128196.i | 1.07930 | − | 0.113966i | ||||
\(105\) | −843815. | −0.728919 | ||||||||
\(106\) | −198611. | + | 741227.i | −0.166758 | + | 0.622348i | ||||
\(107\) | −246853. | − | 427563.i | −0.201506 | − | 0.349019i | 0.747508 | − | 0.664253i | \(-0.231250\pi\) |
−0.949014 | + | 0.315234i | \(0.897917\pi\) | |||||||
\(108\) | −322733. | − | 186330.i | −0.256196 | − | 0.147915i | ||||
\(109\) | 107141. | + | 107141.i | 0.0827324 | + | 0.0827324i | 0.747262 | − | 0.664530i | \(-0.231368\pi\) |
−0.664530 | + | 0.747262i | \(0.731368\pi\) | |||||||
\(110\) | −2.01246e6 | + | 539236.i | −1.51199 | + | 0.405136i | ||||
\(111\) | −216583. | − | 808298.i | −0.158363 | − | 0.591020i | ||||
\(112\) | 362779. | − | 362779.i | 0.258219 | − | 0.258219i | ||||
\(113\) | −716209. | + | 1.24051e6i | −0.496369 | + | 0.859736i | −0.999991 | − | 0.00418765i | \(-0.998667\pi\) |
0.503622 | + | 0.863924i | \(0.332000\pi\) | |||||||
\(114\) | −351319. | + | 202834.i | −0.237131 | + | 0.136907i | ||||
\(115\) | 251409. | + | 67364.9i | 0.165306 | + | 0.0442935i | ||||
\(116\) | 499025.i | 0.319704i | ||||||||
\(117\) | 546287. | − | 210002.i | 0.341085 | − | 0.131119i | ||||
\(118\) | 2.38474e6 | 1.45143 | ||||||||
\(119\) | 304818. | − | 1.13759e6i | 0.180884 | − | 0.675067i | ||||
\(120\) | 1.22420e6 | + | 2.12038e6i | 0.708451 | + | 1.22707i | ||||
\(121\) | 388267. | + | 224166.i | 0.219166 | + | 0.126536i | ||||
\(122\) | 803746. | + | 803746.i | 0.442629 | + | 0.442629i | ||||
\(123\) | 1.47660e6 | − | 395653.i | 0.793501 | − | 0.212618i | ||||
\(124\) | −15018.4 | − | 56049.5i | −0.00787697 | − | 0.0293973i | ||||
\(125\) | 1.55245e6 | − | 1.55245e6i | 0.794854 | − | 0.794854i | ||||
\(126\) | 174115. | − | 301577.i | 0.0870414 | − | 0.150760i | ||||
\(127\) | −864297. | + | 499002.i | −0.421941 | + | 0.243608i | −0.695908 | − | 0.718131i | \(-0.744998\pi\) |
0.273966 | + | 0.961739i | \(0.411664\pi\) | |||||||
\(128\) | −839988. | − | 225074.i | −0.400537 | − | 0.107324i | ||||
\(129\) | 1.28704e6i | 0.599545i | ||||||||
\(130\) | −3.03459e6 | − | 479132.i | −1.38124 | − | 0.218085i | ||||
\(131\) | −3.59354e6 | −1.59849 | −0.799243 | − | 0.601008i | \(-0.794766\pi\) | ||||
−0.799243 | + | 0.601008i | \(0.794766\pi\) | |||||||
\(132\) | 144372. | − | 538802.i | 0.0627711 | − | 0.234265i | ||||
\(133\) | 264580. | + | 458267.i | 0.112461 | + | 0.194788i | ||||
\(134\) | 966352. | + | 557923.i | 0.401625 | + | 0.231878i | ||||
\(135\) | 3.10127e6 | + | 3.10127e6i | 1.26049 | + | 1.26049i | ||||
\(136\) | −3.30083e6 | + | 884456.i | −1.31222 | + | 0.351609i | ||||
\(137\) | −644543. | − | 2.40547e6i | −0.250663 | − | 0.935487i | −0.970452 | − | 0.241294i | \(-0.922428\pi\) |
0.719789 | − | 0.694193i | \(-0.244238\pi\) | |||||||
\(138\) | 131898. | − | 131898.i | 0.0501880 | − | 0.0501880i | ||||
\(139\) | 1.28864e6 | − | 2.23199e6i | 0.479830 | − | 0.831089i | −0.519903 | − | 0.854225i | \(-0.674032\pi\) |
0.999732 | + | 0.0231362i | \(0.00736514\pi\) | |||||||
\(140\) | 591402. | − | 341446.i | 0.215526 | − | 0.124434i | ||||
\(141\) | −4.04451e6 | − | 1.08372e6i | −1.44281 | − | 0.386599i | ||||
\(142\) | − | 2.20694e6i | − | 0.770772i | ||||||
\(143\) | 1.92532e6 | + | 2.64729e6i | 0.658407 | + | 0.905302i | ||||
\(144\) | −713659. | −0.239003 | ||||||||
\(145\) | 1.52006e6 | − | 5.67294e6i | 0.498605 | − | 1.86082i | ||||
\(146\) | 1.99652e6 | + | 3.45808e6i | 0.641528 | + | 1.11116i | ||||
\(147\) | −1.50828e6 | − | 870808.i | −0.474822 | − | 0.274139i | ||||
\(148\) | 478870. | + | 478870.i | 0.147718 | + | 0.147718i | ||||
\(149\) | −1.11954e6 | + | 299979.i | −0.338438 | + | 0.0906842i | −0.424035 | − | 0.905646i | \(-0.639387\pi\) |
0.0855974 | + | 0.996330i | \(0.472720\pi\) | |||||||
\(150\) | −1.00096e6 | − | 3.73563e6i | −0.296580 | − | 1.10685i | ||||
\(151\) | −1.84569e6 | + | 1.84569e6i | −0.536079 | + | 0.536079i | −0.922375 | − | 0.386296i | \(-0.873754\pi\) |
0.386296 | + | 0.922375i | \(0.373754\pi\) | |||||||
\(152\) | 767704. | − | 1.32970e6i | 0.218606 | − | 0.378638i | ||||
\(153\) | −1.41876e6 | + | 819120.i | −0.396126 | + | 0.228704i | ||||
\(154\) | 1.88130e6 | + | 504092.i | 0.515105 | + | 0.138022i | ||||
\(155\) | 682921.i | 0.183390i | ||||||||
\(156\) | 517324. | − | 639472.i | 0.136266 | − | 0.168441i | ||||
\(157\) | 5.86194e6 | 1.51475 | 0.757377 | − | 0.652978i | \(-0.226480\pi\) | ||||
0.757377 | + | 0.652978i | \(0.226480\pi\) | |||||||
\(158\) | 75010.3 | − | 279942.i | 0.0190173 | − | 0.0709736i | ||||
\(159\) | 1.20899e6 | + | 2.09403e6i | 0.300767 | + | 0.520944i | ||||
\(160\) | −3.06510e6 | − | 1.76963e6i | −0.748314 | − | 0.432040i | ||||
\(161\) | −172050. | − | 172050.i | −0.0412264 | − | 0.0412264i | ||||
\(162\) | 1.75566e6 | − | 470429.i | 0.412949 | − | 0.110649i | ||||
\(163\) | 1.55231e6 | + | 5.79331e6i | 0.358440 | + | 1.33772i | 0.876100 | + | 0.482130i | \(0.160137\pi\) |
−0.517660 | + | 0.855587i | \(0.673197\pi\) | |||||||
\(164\) | −874801. | + | 874801.i | −0.198325 | + | 0.198325i | ||||
\(165\) | −3.28245e6 | + | 5.68536e6i | −0.730711 | + | 1.26563i | ||||
\(166\) | −3.61491e6 | + | 2.08707e6i | −0.790265 | + | 0.456260i | ||||
\(167\) | −1.33679e6 | − | 358193.i | −0.287022 | − | 0.0769073i | 0.112436 | − | 0.993659i | \(-0.464135\pi\) |
−0.399457 | + | 0.916752i | \(0.630801\pi\) | |||||||
\(168\) | − | 2.28883e6i | − | 0.482710i | ||||||
\(169\) | 1.00810e6 | + | 4.72036e6i | 0.208855 | + | 0.977947i | ||||
\(170\) | 8.59954e6 | 1.75036 | ||||||||
\(171\) | 190510. | − | 710993.i | 0.0381004 | − | 0.142193i | ||||
\(172\) | −520794. | − | 902042.i | −0.102348 | − | 0.177273i | ||||
\(173\) | 2.09107e6 | + | 1.20728e6i | 0.403859 | + | 0.233168i | 0.688148 | − | 0.725571i | \(-0.258424\pi\) |
−0.284289 | + | 0.958739i | \(0.591758\pi\) | |||||||
\(174\) | −2.97622e6 | − | 2.97622e6i | −0.564959 | − | 0.564959i | ||||
\(175\) | −4.87281e6 | + | 1.30567e6i | −0.909213 | + | 0.243623i | ||||
\(176\) | −1.03308e6 | − | 3.85551e6i | −0.189494 | − | 0.707202i | ||||
\(177\) | 5.31337e6 | − | 5.31337e6i | 0.958188 | − | 0.958188i | ||||
\(178\) | −395825. | + | 685589.i | −0.0701848 | + | 0.121564i | ||||
\(179\) | 990697. | − | 571979.i | 0.172736 | − | 0.0997289i | −0.411140 | − | 0.911572i | \(-0.634869\pi\) |
0.583875 | + | 0.811843i | \(0.301536\pi\) | |||||||
\(180\) | −917551. | − | 245857.i | −0.157330 | − | 0.0421565i | ||||
\(181\) | 3.67696e6i | 0.620087i | 0.950722 | + | 0.310044i | \(0.100344\pi\) | ||||
−0.950722 | + | 0.310044i | \(0.899656\pi\) | |||||||
\(182\) | 2.23280e6 | + | 1.80631e6i | 0.370370 | + | 0.299624i | ||||
\(183\) | 3.58161e6 | 0.584420 | ||||||||
\(184\) | −182726. | + | 681944.i | −0.0293324 | + | 0.109470i | ||||
\(185\) | −3.98515e6 | − | 6.90249e6i | −0.629404 | − | 1.09016i | ||||
\(186\) | 423854. | + | 244712.i | 0.0658684 | + | 0.0380291i | ||||
\(187\) | −6.47902e6 | − | 6.47902e6i | −0.990796 | − | 0.990796i | ||||
\(188\) | 3.27319e6 | − | 877048.i | 0.492604 | − | 0.131993i | ||||
\(189\) | −1.06116e6 | − | 3.96032e6i | −0.157180 | − | 0.586603i | ||||
\(190\) | −2.73215e6 | + | 2.73215e6i | −0.398330 | + | 0.398330i | ||||
\(191\) | 2.20303e6 | − | 3.81577e6i | 0.316170 | − | 0.547623i | −0.663515 | − | 0.748163i | \(-0.730936\pi\) |
0.979686 | + | 0.200540i | \(0.0642695\pi\) | |||||||
\(192\) | −5.39031e6 | + | 3.11209e6i | −0.761570 | + | 0.439693i | ||||
\(193\) | −4.88717e6 | − | 1.30951e6i | −0.679807 | − | 0.182154i | −0.0976386 | − | 0.995222i | \(-0.531129\pi\) |
−0.582168 | + | 0.813068i | \(0.697796\pi\) | |||||||
\(194\) | − | 6.83151e6i | − | 0.935645i | ||||||
\(195\) | −7.82884e6 | + | 5.69375e6i | −1.05583 | + | 0.767882i | ||||
\(196\) | 1.40948e6 | 0.187193 | ||||||||
\(197\) | 362631. | − | 1.35336e6i | 0.0474314 | − | 0.177016i | −0.938147 | − | 0.346238i | \(-0.887459\pi\) |
0.985578 | + | 0.169222i | \(0.0541255\pi\) | |||||||
\(198\) | −1.35462e6 | − | 2.34627e6i | −0.174511 | − | 0.302262i | ||||
\(199\) | 147358. | + | 85077.1i | 0.0186988 | + | 0.0107958i | 0.509320 | − | 0.860577i | \(-0.329897\pi\) |
−0.490621 | + | 0.871373i | \(0.663230\pi\) | |||||||
\(200\) | 1.03504e7 | + | 1.03504e7i | 1.29380 | + | 1.29380i | ||||
\(201\) | 3.39620e6 | − | 910008.i | 0.418220 | − | 0.112062i | ||||
\(202\) | 2.01958e6 | + | 7.53718e6i | 0.245023 | + | 0.914439i | ||||
\(203\) | −3.88222e6 | + | 3.88222e6i | −0.464080 | + | 0.464080i | ||||
\(204\) | −1.15119e6 | + | 1.99392e6i | −0.135599 | + | 0.234865i | ||||
\(205\) | 1.26095e7 | − | 7.28008e6i | 1.46364 | − | 0.845035i | ||||
\(206\) | −5.66880e6 | − | 1.51895e6i | −0.648469 | − | 0.173757i | ||||
\(207\) | 338456.i | 0.0381585i | ||||||||
\(208\) | 917931. | − | 5.81373e6i | 0.102005 | − | 0.646048i | ||||
\(209\) | 4.11688e6 | 0.450951 | ||||||||
\(210\) | −1.49075e6 | + | 5.56357e6i | −0.160971 | + | 0.600752i | ||||
\(211\) | 5.13267e6 | + | 8.89005e6i | 0.546382 | + | 0.946361i | 0.998519 | + | 0.0544124i | \(0.0173286\pi\) |
−0.452137 | + | 0.891949i | \(0.649338\pi\) | |||||||
\(212\) | −1.69468e6 | − | 978424.i | −0.177861 | − | 0.102688i | ||||
\(213\) | −4.91723e6 | − | 4.91723e6i | −0.508841 | − | 0.508841i | ||||
\(214\) | −3.25518e6 | + | 872224.i | −0.332150 | + | 0.0889993i | ||||
\(215\) | 3.17274e6 | + | 1.18408e7i | 0.319241 | + | 1.19142i | ||||
\(216\) | −8.41216e6 | + | 8.41216e6i | −0.834730 | + | 0.834730i | ||||
\(217\) | 319206. | − | 552881.i | 0.0312386 | − | 0.0541069i | ||||
\(218\) | 895701. | − | 517133.i | 0.0864557 | − | 0.0499152i | ||||
\(219\) | 1.21533e7 | + | 3.25646e6i | 1.15707 | + | 0.310037i | ||||
\(220\) | − | 5.31292e6i | − | 0.498959i | ||||||
\(221\) | −4.84800e6 | − | 1.26113e7i | −0.449144 | − | 1.16838i | ||||
\(222\) | −5.71202e6 | −0.522073 | ||||||||
\(223\) | 3.63396e6 | − | 1.35621e7i | 0.327692 | − | 1.22296i | −0.583886 | − | 0.811835i | \(-0.698469\pi\) |
0.911578 | − | 0.411127i | \(-0.134865\pi\) | |||||||
\(224\) | 1.65430e6 | + | 2.86533e6i | 0.147187 | + | 0.254936i | ||||
\(225\) | 6.07716e6 | + | 3.50865e6i | 0.533523 | + | 0.308029i | ||||
\(226\) | 6.91381e6 | + | 6.91381e6i | 0.598952 | + | 0.598952i | ||||
\(227\) | −30129.2 | + | 8073.09i | −0.00257579 | + | 0.000690180i | −0.260107 | − | 0.965580i | \(-0.583758\pi\) |
0.257531 | + | 0.966270i | \(0.417091\pi\) | |||||||
\(228\) | −267743. | − | 999230.i | −0.0225898 | − | 0.0843065i | ||||
\(229\) | 5.05317e6 | − | 5.05317e6i | 0.420783 | − | 0.420783i | −0.464691 | − | 0.885473i | \(-0.653834\pi\) |
0.885473 | + | 0.464691i | \(0.153834\pi\) | |||||||
\(230\) | 888321. | − | 1.53862e6i | 0.0730107 | − | 0.126458i | ||||
\(231\) | 5.31483e6 | − | 3.06852e6i | 0.431175 | − | 0.248939i | ||||
\(232\) | 1.53878e7 | + | 4.12314e6i | 1.23229 | + | 0.330190i | ||||
\(233\) | 1.45683e7i | 1.15170i | 0.817555 | + | 0.575850i | \(0.195329\pi\) | ||||
−0.817555 | + | 0.575850i | \(0.804671\pi\) | |||||||
\(234\) | −419502. | − | 3.97287e6i | −0.0327406 | − | 0.310068i | ||||
\(235\) | −3.98813e7 | −3.07302 | ||||||||
\(236\) | −1.57394e6 | + | 5.87401e6i | −0.119743 | + | 0.446888i | ||||
\(237\) | −456603. | − | 790860.i | −0.0343000 | − | 0.0594093i | ||||
\(238\) | −6.96204e6 | − | 4.01954e6i | −0.516423 | − | 0.298157i | ||||
\(239\) | −1.22371e7 | − | 1.22371e7i | −0.896368 | − | 0.896368i | 0.0987444 | − | 0.995113i | \(-0.468517\pi\) |
−0.995113 | + | 0.0987444i | \(0.968517\pi\) | |||||||
\(240\) | 1.14019e7 | − | 3.05513e6i | 0.824790 | − | 0.221002i | ||||
\(241\) | −2.56550e6 | − | 9.57457e6i | −0.183282 | − | 0.684019i | −0.994992 | − | 0.0999575i | \(-0.968129\pi\) |
0.811709 | − | 0.584062i | \(-0.198537\pi\) | |||||||
\(242\) | 2.16395e6 | − | 2.16395e6i | 0.152687 | − | 0.152687i | ||||
\(243\) | −4.94006e6 | + | 8.55643e6i | −0.344281 | + | 0.596313i | ||||
\(244\) | −2.51024e6 | + | 1.44929e6i | −0.172801 | + | 0.0997664i | ||||
\(245\) | −1.60230e7 | − | 4.29335e6i | −1.08955 | − | 0.291943i | ||||
\(246\) | − | 1.04347e7i | − | 0.700932i | ||||||
\(247\) | 5.54696e6 | + | 2.46646e6i | 0.368099 | + | 0.163676i | ||||
\(248\) | −1.85241e6 | −0.121446 | ||||||||
\(249\) | −3.40414e6 | + | 1.27044e7i | −0.220500 | + | 0.822918i | ||||
\(250\) | −7.49315e6 | − | 1.29785e7i | −0.479562 | − | 0.830625i | ||||
\(251\) | 1.79413e7 | + | 1.03584e7i | 1.13457 | + | 0.655046i | 0.945081 | − | 0.326836i | \(-0.105983\pi\) |
0.189492 | + | 0.981882i | \(0.439316\pi\) | |||||||
\(252\) | 627917. | + | 627917.i | 0.0392374 | + | 0.0392374i | ||||
\(253\) | −1.82849e6 | + | 489943.i | −0.112910 | + | 0.0302541i | ||||
\(254\) | 1.76316e6 | + | 6.58019e6i | 0.107594 | + | 0.401548i | ||||
\(255\) | 1.91604e7 | − | 1.91604e7i | 1.15554 | − | 1.15554i | ||||
\(256\) | 6.29233e6 | − | 1.08986e7i | 0.375052 | − | 0.649609i | ||||
\(257\) | −1.54140e7 | + | 8.89925e6i | −0.908060 | + | 0.524269i | −0.879807 | − | 0.475332i | \(-0.842328\pi\) |
−0.0282538 | + | 0.999601i | \(0.508995\pi\) | |||||||
\(258\) | 8.48588e6 | + | 2.27379e6i | 0.494126 | + | 0.132401i | ||||
\(259\) | 7.45085e6i | 0.428851i | ||||||||
\(260\) | 3.18302e6 | − | 7.15847e6i | 0.181101 | − | 0.407287i | ||||
\(261\) | 7.63712e6 | 0.429544 | ||||||||
\(262\) | −6.34865e6 | + | 2.36935e7i | −0.353002 | + | 1.31742i | ||||
\(263\) | −1.49796e7 | − | 2.59455e7i | −0.823445 | − | 1.42625i | −0.903102 | − | 0.429426i | \(-0.858716\pi\) |
0.0796577 | − | 0.996822i | \(-0.474617\pi\) | |||||||
\(264\) | −1.54215e7 | − | 8.90358e6i | −0.838135 | − | 0.483897i | ||||
\(265\) | 1.62849e7 | + | 1.62849e7i | 0.875078 | + | 0.875078i | ||||
\(266\) | 3.48894e6 | − | 934859.i | 0.185374 | − | 0.0496708i | ||||
\(267\) | 645616. | + | 2.40947e6i | 0.0339188 | + | 0.126587i | ||||
\(268\) | −2.01205e6 | + | 2.01205e6i | −0.104529 | + | 0.104529i | ||||
\(269\) | 359344. | − | 622402.i | 0.0184609 | − | 0.0319753i | −0.856647 | − | 0.515902i | \(-0.827457\pi\) |
0.875108 | + | 0.483927i | \(0.160790\pi\) | |||||||
\(270\) | 2.59268e7 | − | 1.49688e7i | 1.31722 | − | 0.760495i | ||||
\(271\) | 3.51219e7 | + | 9.41089e6i | 1.76470 | + | 0.472850i | 0.987661 | − | 0.156605i | \(-0.0500551\pi\) |
0.777037 | + | 0.629455i | \(0.216722\pi\) | |||||||
\(272\) | 1.64752e7i | 0.818697i | ||||||||
\(273\) | 8.99943e6 | − | 950265.i | 0.442310 | − | 0.0467043i | ||||
\(274\) | −1.69988e7 | −0.826354 | ||||||||
\(275\) | −1.01581e7 | + | 3.79106e7i | −0.488444 | + | 1.82290i | ||||
\(276\) | 237833. | + | 411939.i | 0.0113122 | + | 0.0195932i | ||||
\(277\) | 1.55080e7 | + | 8.95353e6i | 0.729652 | + | 0.421265i | 0.818295 | − | 0.574799i | \(-0.194920\pi\) |
−0.0886431 | + | 0.996063i | \(0.528253\pi\) | |||||||
\(278\) | −1.24397e7 | − | 1.24397e7i | −0.578995 | − | 0.578995i | ||||
\(279\) | −857786. | + | 229843.i | −0.0394972 | + | 0.0105832i | ||||
\(280\) | −5.64232e6 | − | 2.10574e7i | −0.257030 | − | 0.959249i | ||||
\(281\) | −6.31936e6 | + | 6.31936e6i | −0.284809 | + | 0.284809i | −0.835024 | − | 0.550214i | \(-0.814546\pi\) |
0.550214 | + | 0.835024i | \(0.314546\pi\) | |||||||
\(282\) | −1.42907e7 | + | 2.47523e7i | −0.637246 | + | 1.10374i | ||||
\(283\) | −1.35802e7 | + | 7.84053e6i | −0.599165 | + | 0.345928i | −0.768713 | − | 0.639594i | \(-0.779103\pi\) |
0.169548 | + | 0.985522i | \(0.445769\pi\) | |||||||
\(284\) | 5.43607e6 | + | 1.45659e6i | 0.237318 | + | 0.0635891i | ||||
\(285\) | 1.21749e7i | 0.525931i | ||||||||
\(286\) | 2.08559e7 | − | 8.01738e6i | 0.891521 | − | 0.342716i | ||||
\(287\) | −1.36112e7 | −0.575773 | ||||||||
\(288\) | 1.19117e6 | − | 4.44551e6i | 0.0498651 | − | 0.186099i | ||||
\(289\) | 6.84099e6 | + | 1.18489e7i | 0.283417 | + | 0.490892i | ||||
\(290\) | −3.47182e7 | − | 2.00446e7i | −1.42352 | − | 0.821870i | ||||
\(291\) | −1.52211e7 | − | 1.52211e7i | −0.617685 | − | 0.617685i | ||||
\(292\) | −9.83554e6 | + | 2.63542e6i | −0.395048 | + | 0.105853i | ||||
\(293\) | −298902. | − | 1.11552e6i | −0.0118830 | − | 0.0443479i | 0.959730 | − | 0.280925i | \(-0.0906411\pi\) |
−0.971613 | + | 0.236577i | \(0.923974\pi\) | |||||||
\(294\) | −8.40620e6 | + | 8.40620e6i | −0.330794 | + | 0.330794i | ||||
\(295\) | 3.57851e7 | − | 6.19817e7i | 1.39392 | − | 2.41433i | ||||
\(296\) | 1.87229e7 | − | 1.08097e7i | 0.721934 | − | 0.416809i | ||||
\(297\) | −3.08113e7 | − | 8.25587e6i | −1.17609 | − | 0.315133i | ||||
\(298\) | 7.91146e6i | 0.298956i | ||||||||
\(299\) | −2.75719e6 | − | 435333.i | −0.103146 | − | 0.0162858i | ||||
\(300\) | 9.86212e6 | 0.365264 | ||||||||
\(301\) | 2.96596e6 | − | 1.10691e7i | 0.108759 | − | 0.405895i | ||||
\(302\) | 8.90855e6 | + | 1.54301e7i | 0.323434 | + | 0.560205i | ||||
\(303\) | 2.12932e7 | + | 1.22936e7i | 0.765443 | + | 0.441928i | ||||
\(304\) | −5.23430e6 | − | 5.23430e6i | −0.186311 | − | 0.186311i | ||||
\(305\) | 3.29511e7 | − | 8.82922e6i | 1.16137 | − | 0.311188i | ||||
\(306\) | 2.89425e6 | + | 1.08015e7i | 0.101012 | + | 0.376981i | ||||
\(307\) | 5.46628e6 | − | 5.46628e6i | 0.188919 | − | 0.188919i | −0.606309 | − | 0.795229i | \(-0.707351\pi\) |
0.795229 | + | 0.606309i | \(0.207351\pi\) | |||||||
\(308\) | −2.48333e6 | + | 4.30125e6i | −0.0849927 | + | 0.147212i | ||||
\(309\) | −1.60148e7 | + | 9.24617e6i | −0.542809 | + | 0.313391i | ||||
\(310\) | 4.50274e6 | + | 1.20650e6i | 0.151144 | + | 0.0404990i | ||||
\(311\) | − | 1.86986e7i | − | 0.621623i | −0.950472 | − | 0.310811i | \(-0.899399\pi\) | ||
0.950472 | − | 0.310811i | \(-0.100601\pi\) | |||||||
\(312\) | −1.54442e7 | − | 2.12356e7i | −0.508513 | − | 0.699199i | ||||
\(313\) | −4.30155e7 | −1.40279 | −0.701394 | − | 0.712774i | \(-0.747439\pi\) | ||||
−0.701394 | + | 0.712774i | \(0.747439\pi\) | |||||||
\(314\) | 1.03562e7 | − | 3.86498e7i | 0.334511 | − | 1.24841i | ||||
\(315\) | −5.22552e6 | − | 9.05086e6i | −0.167185 | − | 0.289573i | ||||
\(316\) | 640037. | + | 369526.i | 0.0202835 | + | 0.0117107i | ||||
\(317\) | −2.47479e7 | − | 2.47479e7i | −0.776891 | − | 0.776891i | 0.202410 | − | 0.979301i | \(-0.435123\pi\) |
−0.979301 | + | 0.202410i | \(0.935123\pi\) | |||||||
\(318\) | 1.59426e7 | − | 4.27180e6i | 0.495766 | − | 0.132840i | ||||
\(319\) | 1.10553e7 | + | 4.12591e7i | 0.340565 | + | 1.27101i | ||||
\(320\) | −4.19194e7 | + | 4.19194e7i | −1.27928 | + | 1.27928i | ||||
\(321\) | −5.30941e6 | + | 9.19617e6i | −0.160521 | + | 0.278030i | ||||
\(322\) | −1.43834e6 | + | 830426.i | −0.0430818 | + | 0.0248733i | ||||
\(323\) | −1.64136e7 | − | 4.39801e6i | −0.487076 | − | 0.130512i | ||||
\(324\) | 4.63498e6i | 0.136274i | ||||||||
\(325\) | −3.63994e7 | + | 4.49938e7i | −1.06034 | + | 1.31070i | ||||
\(326\) | 4.09398e7 | 1.18166 | ||||||||
\(327\) | 843478. | − | 3.14790e6i | 0.0241229 | − | 0.0900280i | ||||
\(328\) | 1.97471e7 | + | 3.42030e7i | 0.559605 | + | 0.969265i | ||||
\(329\) | 3.22872e7 | + | 1.86410e7i | 0.906657 | + | 0.523459i | ||||
\(330\) | 3.16866e7 | + | 3.16866e7i | 0.881725 | + | 0.881725i | ||||
\(331\) | −3.75950e6 | + | 1.00736e6i | −0.103668 | + | 0.0277779i | −0.310280 | − | 0.950645i | \(-0.600423\pi\) |
0.206612 | + | 0.978423i | \(0.433756\pi\) | |||||||
\(332\) | −2.75494e6 | − | 1.02816e7i | −0.0752832 | − | 0.280961i | ||||
\(333\) | 7.32866e6 | − | 7.32866e6i | 0.198469 | − | 0.198469i | ||||
\(334\) | −4.72338e6 | + | 8.18114e6i | −0.126769 | + | 0.219571i | ||||
\(335\) | 2.90020e7 | − | 1.67443e7i | 0.771423 | − | 0.445382i | ||||
\(336\) | −1.06588e7 | − | 2.85602e6i | −0.280990 | − | 0.0752909i | ||||
\(337\) | − | 4.77229e7i | − | 1.24691i | −0.781857 | − | 0.623457i | \(-0.785727\pi\) | ||
0.781857 | − | 0.623457i | \(-0.214273\pi\) | |||||||
\(338\) | 3.29040e7 | + | 1.69262e6i | 0.852116 | + | 0.0438337i | ||||
\(339\) | 3.08090e7 | 0.790821 | ||||||||
\(340\) | −5.67573e6 | + | 2.11821e7i | −0.144406 | + | 0.538930i | ||||
\(341\) | −2.48343e6 | − | 4.30142e6i | −0.0626309 | − | 0.108480i | ||||
\(342\) | −4.35125e6 | − | 2.51220e6i | −0.108777 | − | 0.0628023i | ||||
\(343\) | 2.68968e7 | + | 2.68968e7i | 0.666527 | + | 0.666527i | ||||
\(344\) | −3.21180e7 | + | 8.60601e6i | −0.788994 | + | 0.211410i | ||||
\(345\) | −1.44891e6 | − | 5.40740e6i | −0.0352845 | − | 0.131683i | ||||
\(346\) | 1.16543e7 | − | 1.16543e7i | 0.281356 | − | 0.281356i | ||||
\(347\) | −7.26483e6 | + | 1.25831e7i | −0.173875 | + | 0.301160i | −0.939771 | − | 0.341804i | \(-0.888962\pi\) |
0.765896 | + | 0.642964i | \(0.222296\pi\) | |||||||
\(348\) | 9.29524e6 | − | 5.36661e6i | 0.220558 | − | 0.127339i | ||||
\(349\) | −6.86790e6 | − | 1.84025e6i | −0.161565 | − | 0.0432912i | 0.177130 | − | 0.984188i | \(-0.443319\pi\) |
−0.338695 | + | 0.940896i | \(0.609985\pi\) | |||||||
\(350\) | 3.44349e7i | 0.803146i | ||||||||
\(351\) | −3.65681e7 | − | 2.95831e7i | −0.845632 | − | 0.684105i | ||||
\(352\) | 2.57410e7 | 0.590197 | ||||||||
\(353\) | 4.25285e6 | − | 1.58718e7i | 0.0966842 | − | 0.360830i | −0.900585 | − | 0.434680i | \(-0.856862\pi\) |
0.997269 | + | 0.0738491i | \(0.0235283\pi\) | |||||||
\(354\) | −2.56459e7 | − | 4.44200e7i | −0.578107 | − | 1.00131i | ||||
\(355\) | −5.73606e7 | − | 3.31172e7i | −1.28212 | − | 0.740233i | ||||
\(356\) | −1.42747e6 | − | 1.42747e6i | −0.0316387 | − | 0.0316387i | ||||
\(357\) | −2.44678e7 | + | 6.55612e6i | −0.537762 | + | 0.144093i | ||||
\(358\) | −2.02101e6 | − | 7.54252e6i | −0.0440474 | − | 0.164387i | ||||
\(359\) | 2.44298e7 | − | 2.44298e7i | 0.528004 | − | 0.528004i | −0.391973 | − | 0.919977i | \(-0.628207\pi\) |
0.919977 | + | 0.391973i | \(0.128207\pi\) | |||||||
\(360\) | −1.51623e7 | + | 2.62619e7i | −0.324981 | + | 0.562884i | ||||
\(361\) | −3.41309e7 | + | 1.97055e7i | −0.725481 | + | 0.418857i | ||||
\(362\) | 2.42435e7 | + | 6.49602e6i | 0.511057 | + | 0.136937i | ||||
\(363\) | − | 9.64288e6i | − | 0.201598i | ||||||
\(364\) | −5.92289e6 | + | 4.30759e6i | −0.122809 | + | 0.0893163i | ||||
\(365\) | 1.19839e8 | 2.46444 | ||||||||
\(366\) | 6.32757e6 | − | 2.36148e7i | 0.129061 | − | 0.481661i | ||||
\(367\) | −1.05551e7 | − | 1.82819e7i | −0.213532 | − | 0.369848i | 0.739286 | − | 0.673392i | \(-0.235163\pi\) |
−0.952817 | + | 0.303544i | \(0.901830\pi\) | |||||||
\(368\) | 2.94771e6 | + | 1.70186e6i | 0.0591482 | + | 0.0341493i | ||||
\(369\) | 1.33880e7 | + | 1.33880e7i | 0.266463 | + | 0.266463i | ||||
\(370\) | −5.25510e7 | + | 1.40810e7i | −1.03747 | + | 0.277990i | ||||
\(371\) | −5.57220e6 | − | 2.07957e7i | −0.109120 | − | 0.407242i | ||||
\(372\) | −882511. | + | 882511.i | −0.0171432 | + | 0.0171432i | ||||
\(373\) | −2.94962e7 | + | 5.10890e7i | −0.568382 | + | 0.984466i | 0.428344 | + | 0.903616i | \(0.359097\pi\) |
−0.996726 | + | 0.0808508i | \(0.974236\pi\) | |||||||
\(374\) | −5.41648e7 | + | 3.12721e7i | −1.03539 | + | 0.597781i | ||||
\(375\) | −4.56124e7 | − | 1.22218e7i | −0.864946 | − | 0.231762i | ||||
\(376\) | − | 1.08177e8i | − | 2.03504i | ||||||
\(377\) | −9.82310e6 | + | 6.22147e7i | −0.183326 | + | 1.16110i | ||||
\(378\) | −2.79865e7 | −0.518171 | ||||||||
\(379\) | 1.40945e7 | − | 5.26014e7i | 0.258900 | − | 0.966227i | −0.706979 | − | 0.707234i | \(-0.749943\pi\) |
0.965879 | − | 0.258993i | \(-0.0833907\pi\) | |||||||
\(380\) | −4.92651e6 | − | 8.53296e6i | −0.0897818 | − | 0.155507i | ||||
\(381\) | 1.85896e7 | + | 1.07327e7i | 0.336121 | + | 0.194059i | ||||
\(382\) | −2.12666e7 | − | 2.12666e7i | −0.381512 | − | 0.381512i | ||||
\(383\) | 3.41117e7 | − | 9.14020e6i | 0.607165 | − | 0.162689i | 0.0578788 | − | 0.998324i | \(-0.481566\pi\) |
0.549286 | + | 0.835634i | \(0.314900\pi\) | |||||||
\(384\) | 4.84097e6 | + | 1.80668e7i | 0.0854946 | + | 0.319070i | ||||
\(385\) | 4.13324e7 | − | 4.13324e7i | 0.724284 | − | 0.724284i | ||||
\(386\) | −1.72682e7 | + | 2.99093e7i | −0.300251 | + | 0.520050i | ||||
\(387\) | −1.38049e7 | + | 7.97027e6i | −0.238177 | + | 0.137512i | ||||
\(388\) | 1.68271e7 | + | 4.50882e6i | 0.288081 | + | 0.0771911i | ||||
\(389\) | 2.66394e7i | 0.452559i | 0.974062 | + | 0.226280i | \(0.0726563\pi\) | ||||
−0.974062 | + | 0.226280i | \(0.927344\pi\) | |||||||
\(390\) | 2.37098e7 | + | 6.16773e7i | 0.399700 | + | 1.03976i | ||||
\(391\) | 7.81342e6 | 0.130711 | ||||||||
\(392\) | 1.16456e7 | − | 4.34621e7i | 0.193333 | − | 0.721527i | ||||
\(393\) | 3.86456e7 | + | 6.69361e7i | 0.636682 | + | 1.10276i | ||||
\(394\) | −8.28250e6 | − | 4.78191e6i | −0.135417 | − | 0.0781830i | ||||
\(395\) | −6.15037e6 | − | 6.15037e6i | −0.0997953 | − | 0.0997953i | ||||
\(396\) | 6.67331e6 | − | 1.78811e6i | 0.107462 | − | 0.0287944i | ||||
\(397\) | 1.01829e7 | + | 3.80032e7i | 0.162742 | + | 0.607363i | 0.998317 | + | 0.0579865i | \(0.0184680\pi\) |
−0.835575 | + | 0.549376i | \(0.814865\pi\) | |||||||
\(398\) | 821278. | − | 821278.i | 0.0130269 | − | 0.0130269i | ||||
\(399\) | 5.69069e6 | − | 9.85656e6i | 0.0895872 | − | 0.155170i | ||||
\(400\) | 6.11157e7 | − | 3.52852e7i | 0.954933 | − | 0.551331i | ||||
\(401\) | −5.23874e6 | − | 1.40372e6i | −0.0812444 | − | 0.0217694i | 0.217968 | − | 0.975956i | \(-0.430057\pi\) |
−0.299212 | + | 0.954187i | \(0.596724\pi\) | |||||||
\(402\) | − | 2.40000e7i | − | 0.369431i | ||||||
\(403\) | −769073. | − | 7.28346e6i | −0.0117504 | − | 0.111281i | ||||
\(404\) | −1.98983e7 | −0.301767 | ||||||||
\(405\) | 1.41184e7 | − | 5.26907e7i | 0.212530 | − | 0.793174i | ||||
\(406\) | 1.87382e7 | + | 3.24555e7i | 0.279995 | + | 0.484965i | ||||
\(407\) | 5.02015e7 | + | 2.89839e7i | 0.744619 | + | 0.429906i | ||||
\(408\) | 5.19723e7 | + | 5.19723e7i | 0.765229 | + | 0.765229i | ||||
\(409\) | −6.44250e7 | + | 1.72626e7i | −0.941639 | + | 0.252311i | −0.696811 | − | 0.717255i | \(-0.745398\pi\) |
−0.244828 | + | 0.969566i | \(0.578732\pi\) | |||||||
\(410\) | −2.57232e7 | − | 9.60003e7i | −0.373227 | − | 1.39290i | ||||
\(411\) | −3.78746e7 | + | 3.78746e7i | −0.545534 | + | 0.545534i | ||||
\(412\) | 7.48285e6 | − | 1.29607e7i | 0.106998 | − | 0.185326i | ||||
\(413\) | −5.79421e7 | + | 3.34529e7i | −0.822516 | + | 0.474880i | ||||
\(414\) | 2.23156e6 | + | 597945.i | 0.0314490 | + | 0.00842675i | ||||
\(415\) | 1.25273e8i | 1.75273i | ||||||||
\(416\) | 3.46826e7 | + | 1.54217e7i | 0.481762 | + | 0.214216i | ||||
\(417\) | −5.54330e7 | −0.764470 | ||||||||
\(418\) | 7.27322e6 | − | 2.71440e7i | 0.0995859 | − | 0.371660i | ||||
\(419\) | 4.01865e7 | + | 6.96051e7i | 0.546309 | + | 0.946234i | 0.998523 | + | 0.0543253i | \(0.0173008\pi\) |
−0.452215 | + | 0.891909i | \(0.649366\pi\) | |||||||
\(420\) | −1.27201e7 | − | 7.34395e6i | −0.171689 | − | 0.0991247i | ||||
\(421\) | 6.54781e6 | + | 6.54781e6i | 0.0877506 | + | 0.0877506i | 0.749620 | − | 0.661869i | \(-0.230236\pi\) |
−0.661869 | + | 0.749620i | \(0.730236\pi\) | |||||||
\(422\) | 6.76830e7 | − | 1.81356e7i | 0.900622 | − | 0.241321i | ||||
\(423\) | −1.34224e7 | − | 5.00931e7i | −0.177341 | − | 0.661846i | ||||
\(424\) | −4.41725e7 | + | 4.41725e7i | −0.579501 | + | 0.579501i | ||||
\(425\) | 8.09988e7 | − | 1.40294e8i | 1.05514 | − | 1.82756i | ||||
\(426\) | −4.11082e7 | + | 2.37339e7i | −0.531741 | + | 0.307001i | ||||
\(427\) | −3.08035e7 | − | 8.25378e6i | −0.395655 | − | 0.106016i | ||||
\(428\) | − | 8.59373e6i | − | 0.109610i | ||||||
\(429\) | 2.86053e7 | − | 6.43319e7i | 0.362305 | − | 0.814807i | ||||
\(430\) | 8.36759e7 | 1.05243 | ||||||||
\(431\) | −2.67316e7 | + | 9.97636e7i | −0.333882 | + | 1.24606i | 0.571195 | + | 0.820815i | \(0.306480\pi\) |
−0.905076 | + | 0.425249i | \(0.860186\pi\) | |||||||
\(432\) | 2.86776e7 | + | 4.96710e7i | 0.355706 | + | 0.616101i | ||||
\(433\) | −8.93885e7 | − | 5.16085e7i | −1.10108 | − | 0.635708i | −0.164574 | − | 0.986365i | \(-0.552625\pi\) |
−0.936504 | + | 0.350657i | \(0.885958\pi\) | |||||||
\(434\) | −3.08140e6 | − | 3.08140e6i | −0.0376946 | − | 0.0376946i | ||||
\(435\) | −1.22016e8 | + | 3.26940e7i | −1.48234 | + | 0.397192i | ||||
\(436\) | 682620. | + | 2.54757e6i | 0.00823606 | + | 0.0307374i | ||||
\(437\) | −2.48239e6 | + | 2.48239e6i | −0.0297458 | + | 0.0297458i | ||||
\(438\) | 4.29419e7 | − | 7.43776e7i | 0.511045 | − | 0.885156i | ||||
\(439\) | 8.16466e7 | − | 4.71387e7i | 0.965038 | − | 0.557165i | 0.0673180 | − | 0.997732i | \(-0.478556\pi\) |
0.897720 | + | 0.440567i | \(0.145222\pi\) | |||||||
\(440\) | −1.63827e8 | − | 4.38974e7i | −1.92322 | − | 0.515324i | ||||
\(441\) | − | 2.15707e7i | − | 0.251506i | ||||||
\(442\) | −9.17156e7 | + | 9.68440e6i | −1.06213 | + | 0.112152i | ||||
\(443\) | 4.53236e6 | 0.0521330 | 0.0260665 | − | 0.999660i | \(-0.491702\pi\) | ||||
0.0260665 | + | 0.999660i | \(0.491702\pi\) | |||||||
\(444\) | 3.76996e6 | − | 1.40697e7i | 0.0430712 | − | 0.160744i | ||||
\(445\) | 1.18794e7 | + | 2.05758e7i | 0.134808 | + | 0.233494i | ||||
\(446\) | −8.29998e7 | − | 4.79199e7i | −0.935562 | − | 0.540147i | ||||
\(447\) | 1.76273e7 | + | 1.76273e7i | 0.197362 | + | 0.197362i | ||||
\(448\) | 5.35310e7 | − | 1.43436e7i | 0.595348 | − | 0.159523i | ||||
\(449\) | −2.10984e7 | − | 7.87402e7i | −0.233083 | − | 0.869876i | −0.979004 | − | 0.203842i | \(-0.934657\pi\) |
0.745921 | − | 0.666034i | \(-0.232009\pi\) | |||||||
\(450\) | 3.38702e7 | − | 3.38702e7i | 0.371689 | − | 0.371689i | ||||
\(451\) | −5.29478e7 | + | 9.17082e7i | −0.577189 | + | 0.999721i | ||||
\(452\) | −2.15930e7 | + | 1.24667e7i | −0.233829 | + | 0.135001i | ||||
\(453\) | 5.42282e7 | + | 1.45304e7i | 0.583352 | + | 0.156309i | ||||
\(454\) | 212915.i | 0.00227530i | ||||||||
\(455\) | 8.04528e7 | − | 3.09275e7i | 0.854097 | − | 0.328330i | ||||
\(456\) | −3.30241e7 | −0.348286 | ||||||||
\(457\) | 2.83377e7 | − | 1.05758e8i | 0.296904 | − | 1.10806i | −0.642790 | − | 0.766043i | \(-0.722223\pi\) |
0.939693 | − | 0.342018i | \(-0.111110\pi\) | |||||||
\(458\) | −2.43900e7 | − | 4.22447e7i | −0.253872 | − | 0.439720i | ||||
\(459\) | 1.14022e8 | + | 6.58308e7i | 1.17910 | + | 0.680755i | ||||
\(460\) | 3.20358e6 | + | 3.20358e6i | 0.0329125 | + | 0.0329125i | ||||
\(461\) | 3.41485e7 | − | 9.15005e6i | 0.348553 | − | 0.0933944i | −0.0802953 | − | 0.996771i | \(-0.525586\pi\) |
0.428848 | + | 0.903377i | \(0.358920\pi\) | |||||||
\(462\) | −1.08422e7 | − | 4.04636e7i | −0.109949 | − | 0.410335i | ||||
\(463\) | −794093. | + | 794093.i | −0.00800070 | + | 0.00800070i | −0.711096 | − | 0.703095i | \(-0.751801\pi\) |
0.703095 | + | 0.711096i | \(0.251801\pi\) | |||||||
\(464\) | 3.84018e7 | − | 6.65139e7i | 0.384413 | − | 0.665823i | ||||
\(465\) | 1.27206e7 | − | 7.34425e6i | 0.126517 | − | 0.0730447i | ||||
\(466\) | 9.60536e7 | + | 2.57375e7i | 0.949196 | + | 0.254336i | ||||
\(467\) | 1.15353e8i | 1.13260i | 0.824198 | + | 0.566301i | \(0.191626\pi\) | ||||
−0.824198 | + | 0.566301i | \(0.808374\pi\) | |||||||
\(468\) | 1.00627e7 | + | 1.58880e6i | 0.0981697 | + | 0.0155000i | ||||
\(469\) | −3.13060e7 | −0.303465 | ||||||||
\(470\) | −7.04576e7 | + | 2.62951e8i | −0.678632 | + | 2.53269i | ||||
\(471\) | −6.30403e7 | − | 1.09189e8i | −0.603331 | − | 1.04500i | ||||
\(472\) | 1.68124e8 | + | 9.70666e7i | 1.59884 | + | 0.923090i | ||||
\(473\) | −6.30427e7 | − | 6.30427e7i | −0.595732 | − | 0.595732i | ||||
\(474\) | −6.02109e6 | + | 1.61335e6i | −0.0565380 | + | 0.0151493i | ||||
\(475\) | 1.88386e7 | + | 7.03066e7i | 0.175779 | + | 0.656018i | ||||
\(476\) | 1.44958e7 | − | 1.44958e7i | 0.134407 | − | 0.134407i | ||||
\(477\) | −1.49739e7 | + | 2.59355e7i | −0.137968 | + | 0.238968i | ||||
\(478\) | −1.02303e8 | + | 5.90647e7i | −0.936709 | + | 0.540809i | ||||
\(479\) | −2.96536e7 | − | 7.94566e6i | −0.269818 | − | 0.0722975i | 0.121373 | − | 0.992607i | \(-0.461270\pi\) |
−0.391191 | + | 0.920309i | \(0.627937\pi\) | |||||||
\(480\) | 7.61238e7i | 0.688330i | ||||||||
\(481\) | 5.02756e7 | + | 6.91283e7i | 0.451775 | + | 0.621185i | ||||
\(482\) | −6.76609e7 | −0.604223 | ||||||||
\(483\) | −1.35448e6 | + | 5.05498e6i | −0.0120207 | + | 0.0448619i | ||||
\(484\) | 3.90195e6 | + | 6.75838e6i | 0.0344148 | + | 0.0596083i | ||||
\(485\) | −1.77558e8 | − | 1.02513e8i | −1.55637 | − | 0.898573i | ||||
\(486\) | 4.76881e7 | + | 4.76881e7i | 0.415433 | + | 0.415433i | ||||
\(487\) | 1.44522e8 | − | 3.87246e7i | 1.25126 | − | 0.335274i | 0.428437 | − | 0.903572i | \(-0.359064\pi\) |
0.822823 | + | 0.568297i | \(0.192398\pi\) | |||||||
\(488\) | 2.39491e7 | + | 8.93793e7i | 0.206077 | + | 0.769091i | ||||
\(489\) | 9.12169e7 | − | 9.12169e7i | 0.780097 | − | 0.780097i | ||||
\(490\) | −5.66151e7 | + | 9.80602e7i | −0.481220 | + | 0.833498i | ||||
\(491\) | −9.26070e7 | + | 5.34667e7i | −0.782347 | + | 0.451688i | −0.837261 | − | 0.546803i | \(-0.815845\pi\) |
0.0549143 | + | 0.998491i | \(0.482511\pi\) | |||||||
\(492\) | 2.57025e7 | + | 6.88696e6i | 0.215814 | + | 0.0578272i | ||||
\(493\) | − | 1.76307e8i | − | 1.47139i | ||||||
\(494\) | 2.60620e7 | − | 3.22156e7i | 0.216186 | − | 0.267230i | ||||
\(495\) | −8.13092e7 | −0.670385 | ||||||||
\(496\) | −2.31145e6 | + | 8.62643e6i | −0.0189426 | + | 0.0706946i | ||||
\(497\) | 3.09588e7 | + | 5.36222e7i | 0.252183 | + | 0.436793i | ||||
\(498\) | 7.77506e7 | + | 4.48894e7i | 0.629529 | + | 0.363459i | ||||
\(499\) | −7.47204e7 | − | 7.47204e7i | −0.601364 | − | 0.601364i | 0.339311 | − | 0.940674i | \(-0.389806\pi\) |
−0.940674 | + | 0.339311i | \(0.889806\pi\) | |||||||
\(500\) | 3.69138e7 | − | 9.89101e6i | 0.295310 | − | 0.0791281i | ||||
\(501\) | 7.70414e6 | + | 2.87522e7i | 0.0612648 | + | 0.228643i | ||||
\(502\) | 9.99932e7 | − | 9.99932e7i | 0.790422 | − | 0.790422i | ||||
\(503\) | −9.89692e6 | + | 1.71420e7i | −0.0777671 | + | 0.134697i | −0.902286 | − | 0.431137i | \(-0.858112\pi\) |
0.824519 | + | 0.565834i | \(0.191446\pi\) | |||||||
\(504\) | 2.45503e7 | − | 1.41741e7i | 0.191763 | − | 0.110715i | ||||
\(505\) | 2.26204e8 | + | 6.06113e7i | 1.75641 | + | 0.470630i | ||||
\(506\) | 1.29215e7i | 0.0997378i | ||||||||
\(507\) | 7.70838e7 | − | 6.95413e7i | 0.591479 | − | 0.533604i | ||||
\(508\) | −1.73718e7 | −0.132512 | ||||||||
\(509\) | −7.01657e6 | + | 2.61862e7i | −0.0532073 | + | 0.198572i | −0.987413 | − | 0.158162i | \(-0.949443\pi\) |
0.934206 | + | 0.356734i | \(0.116110\pi\) | |||||||
\(510\) | −9.24810e7 | − | 1.60182e8i | −0.697175 | − | 1.20754i | ||||
\(511\) | −9.70193e7 | − | 5.60141e7i | −0.727102 | − | 0.419793i | ||||
\(512\) | −1.00096e8 | − | 1.00096e8i | −0.745777 | − | 0.745777i | ||||
\(513\) | −5.71408e7 | + | 1.53108e7i | −0.423248 | + | 0.113409i | ||||
\(514\) | 3.14443e7 | + | 1.17352e8i | 0.231554 | + | 0.864172i | ||||
\(515\) | −1.24544e8 | + | 1.24544e8i | −0.911806 | + | 0.911806i | ||||
\(516\) | −1.12014e7 | + | 1.94014e7i | −0.0815312 | + | 0.141216i | ||||
\(517\) | 2.51195e8 | − | 1.45028e8i | 1.81777 | − | 1.04949i | ||||
\(518\) | 4.91261e7 | + | 1.31633e7i | 0.353446 | + | 0.0947055i | ||||
\(519\) | − | 5.19331e7i | − | 0.371486i | ||||||
\(520\) | −1.94437e8 | − | 1.57297e8i | −1.38283 | − | 1.11869i | ||||
\(521\) | −1.64063e7 | −0.116010 | −0.0580051 | − | 0.998316i | \(-0.518474\pi\) | ||||
−0.0580051 | + | 0.998316i | \(0.518474\pi\) | |||||||
\(522\) | 1.34924e7 | − | 5.03542e7i | 0.0948586 | − | 0.354017i | ||||
\(523\) | −1.34607e8 | − | 2.33147e8i | −0.940943 | − | 1.62976i | −0.763677 | − | 0.645599i | \(-0.776608\pi\) |
−0.177267 | − | 0.984163i | \(-0.556725\pi\) | |||||||
\(524\) | −5.41709e7 | − | 3.12756e7i | −0.376506 | − | 0.217376i | ||||
\(525\) | 7.67235e7 | + | 7.67235e7i | 0.530213 | + | 0.530213i | ||||
\(526\) | −1.97532e8 | + | 5.29286e7i | −1.35731 | + | 0.363691i | ||||
\(527\) | 5.30603e6 | + | 1.98024e7i | 0.0362525 | + | 0.135296i | ||||
\(528\) | −6.07057e7 | + | 6.07057e7i | −0.412409 | + | 0.412409i | ||||
\(529\) | −7.32108e7 | + | 1.26805e8i | −0.494548 | + | 0.856582i | ||||
\(530\) | 1.36142e8 | − | 7.86017e7i | 0.914460 | − | 0.527964i | ||||
\(531\) | 8.98962e7 | + | 2.40876e7i | 0.600424 | + | 0.160883i | ||||
\(532\) | 9.21086e6i | 0.0611737i | ||||||||
\(533\) | −1.26284e8 | + | 9.18435e7i | −0.833999 | + | 0.606550i | ||||
\(534\) | 1.70271e7 | 0.111819 | ||||||||
\(535\) | −2.61770e7 | + | 9.76939e7i | −0.170946 | + | 0.637979i | ||||
\(536\) | 4.54186e7 | + | 7.86673e7i | 0.294944 | + | 0.510858i | ||||
\(537\) | −2.13083e7 | − | 1.23023e7i | −0.137602 | − | 0.0794446i | ||||
\(538\) | −3.46887e6 | − | 3.46887e6i | −0.0222762 | − | 0.0222762i | ||||
\(539\) | 1.16535e8 | − | 3.12254e7i | 0.744198 | − | 0.199407i | ||||
\(540\) | 1.97590e7 | + | 7.37414e7i | 0.125482 | + | 0.468307i | ||||
\(541\) | −2.01236e8 | + | 2.01236e8i | −1.27091 | + | 1.27091i | −0.325292 | + | 0.945614i | \(0.605463\pi\) |
−0.945614 | + | 0.325292i | \(0.894537\pi\) | |||||||
\(542\) | 1.24099e8 | − | 2.14945e8i | 0.779416 | − | 1.34999i | ||||
\(543\) | 6.84899e7 | − | 3.95426e7i | 0.427786 | − | 0.246982i | ||||
\(544\) | −1.02627e8 | − | 2.74988e7i | −0.637476 | − | 0.170811i | ||||
\(545\) | − | 3.10402e7i | − | 0.191750i | ||||||
\(546\) | 9.63371e6 | − | 6.10152e7i | 0.0591856 | − | 0.374852i | ||||
\(547\) | −1.14810e8 | −0.701483 | −0.350741 | − | 0.936472i | \(-0.614070\pi\) | ||||
−0.350741 | + | 0.936472i | \(0.614070\pi\) | |||||||
\(548\) | 1.12193e7 | − | 4.18708e7i | 0.0681746 | − | 0.254431i | ||||
\(549\) | 2.21800e7 | + | 3.84168e7i | 0.134043 | + | 0.232169i | ||||
\(550\) | 2.32012e8 | + | 1.33952e8i | 1.39451 | + | 0.805121i | ||||
\(551\) | 5.60141e7 | + | 5.60141e7i | 0.334844 | + | 0.334844i | ||||
\(552\) | 1.46675e7 | − | 3.93014e6i | 0.0872044 | − | 0.0233663i | ||||
\(553\) | 2.10448e6 | + | 7.85401e6i | 0.0124442 | + | 0.0464425i | ||||
\(554\) | 8.64314e7 | − | 8.64314e7i | 0.508326 | − | 0.508326i | ||||
\(555\) | −8.57141e7 | + | 1.48461e8i | −0.501387 | + | 0.868428i | ||||
\(556\) | 3.88512e7 | − | 2.24308e7i | 0.226037 | − | 0.130503i | ||||
\(557\) | −6.37551e7 | − | 1.70831e7i | −0.368935 | − | 0.0988558i | 0.0695881 | − | 0.997576i | \(-0.477832\pi\) |
−0.438523 | + | 0.898720i | \(0.644498\pi\) | |||||||
\(558\) | 6.06174e6i | 0.0348895i | ||||||||
\(559\) | −4.71724e7 | − | 1.22711e8i | −0.270055 | − | 0.702505i | ||||
\(560\) | −1.05102e8 | −0.598477 | ||||||||
\(561\) | −5.10067e7 | + | 1.90360e8i | −0.288894 | + | 1.07817i | ||||
\(562\) | 3.05015e7 | + | 5.28301e7i | 0.171835 | + | 0.297627i | ||||
\(563\) | 2.53276e8 | + | 1.46229e8i | 1.41928 | + | 0.819422i | 0.996236 | − | 0.0866868i | \(-0.0276279\pi\) |
0.423045 | + | 0.906109i | \(0.360961\pi\) | |||||||
\(564\) | −5.15370e7 | − | 5.15370e7i | −0.287265 | − | 0.287265i | ||||
\(565\) | 2.83445e8 | − | 7.59488e7i | 1.57153 | − | 0.421090i | ||||
\(566\) | 2.77035e7 | + | 1.03391e8i | 0.152786 | + | 0.570207i | ||||
\(567\) | −3.60583e7 | + | 3.60583e7i | −0.197814 | + | 0.197814i | ||||
\(568\) | 8.98298e7 | − | 1.55590e8i | 0.490202 | − | 0.849056i | ||||
\(569\) | 1.60156e8 | − | 9.24658e7i | 0.869371 | − | 0.501932i | 0.00223182 | − | 0.999998i | \(-0.499290\pi\) |
0.867139 | + | 0.498066i | \(0.165956\pi\) | |||||||
\(570\) | 8.02731e7 | + | 2.15091e7i | 0.433456 | + | 0.116144i | ||||
\(571\) | − | 1.19209e8i | − | 0.640325i | −0.947363 | − | 0.320162i | \(-0.896263\pi\) | ||
0.947363 | − | 0.320162i | \(-0.103737\pi\) | |||||||
\(572\) | 5.98316e6 | + | 5.66632e7i | 0.0319700 | + | 0.302770i | ||||
\(573\) | −9.47673e7 | −0.503726 | ||||||||
\(574\) | −2.40467e7 | + | 8.97436e7i | −0.127151 | + | 0.474534i | ||||
\(575\) | −1.67341e7 | − | 2.89844e7i | −0.0880238 | − | 0.152462i | ||||
\(576\) | −6.67614e7 | − | 3.85447e7i | −0.349348 | − | 0.201696i | ||||
\(577\) | 5.14137e7 | + | 5.14137e7i | 0.267640 | + | 0.267640i | 0.828149 | − | 0.560508i | \(-0.189394\pi\) |
−0.560508 | + | 0.828149i | \(0.689394\pi\) | |||||||
\(578\) | 9.02101e7 | − | 2.41717e7i | 0.467167 | − | 0.125177i | ||||
\(579\) | 2.81655e7 | + | 1.05115e8i | 0.145105 | + | 0.541538i | ||||
\(580\) | 7.22873e7 | − | 7.22873e7i | 0.370491 | − | 0.370491i | ||||
\(581\) | 5.85544e7 | − | 1.01419e8i | 0.298560 | − | 0.517120i | ||||
\(582\) | −1.27249e8 | + | 7.34672e7i | −0.645484 | + | 0.372670i | ||||
\(583\) | −1.61791e8 | − | 4.33518e7i | −0.816486 | − | 0.218777i | ||||
\(584\) | 3.25060e8i | 1.63202i | ||||||||
\(585\) | −1.09554e8 | − | 4.87132e7i | −0.547217 | − | 0.243321i | ||||
\(586\) | −7.88305e6 | −0.0391743 | ||||||||
\(587\) | 9.28557e6 | − | 3.46542e7i | 0.0459086 | − | 0.171333i | −0.939165 | − | 0.343466i | \(-0.888399\pi\) |
0.985074 | + | 0.172132i | \(0.0550657\pi\) | |||||||
\(588\) | −1.51578e7 | − | 2.62540e7i | −0.0745595 | − | 0.129141i | ||||
\(589\) | −7.97716e6 | − | 4.60562e6i | −0.0390393 | − | 0.0225394i | ||||
\(590\) | −3.45446e8 | − | 3.45446e8i | −1.68199 | − | 1.68199i | ||||
\(591\) | −2.91085e7 | + | 7.79959e6i | −0.141012 | + | 0.0377841i | ||||
\(592\) | −2.69767e7 | − | 1.00678e8i | −0.130024 | − | 0.485256i | ||||
\(593\) | −2.24519e8 | + | 2.24519e8i | −1.07669 | + | 1.07669i | −0.0798839 | + | 0.996804i | \(0.525455\pi\) |
−0.996804 | + | 0.0798839i | \(0.974545\pi\) | |||||||
\(594\) | −1.08868e8 | + | 1.88564e8i | −0.519445 | + | 0.899706i | ||||
\(595\) | −2.08943e8 | + | 1.20634e8i | −0.991923 | + | 0.572687i | ||||
\(596\) | −1.94872e7 | − | 5.22159e6i | −0.0920474 | − | 0.0246640i | ||||
\(597\) | − | 3.65974e6i | − | 0.0171999i | ||||||
\(598\) | −7.74138e6 | + | 1.74100e7i | −0.0362005 | + | 0.0814133i | ||||
\(599\) | 3.80612e8 | 1.77093 | 0.885467 | − | 0.464702i | \(-0.153839\pi\) | ||||
0.885467 | + | 0.464702i | \(0.153839\pi\) | |||||||
\(600\) | 8.14846e7 | − | 3.04105e8i | 0.377244 | − | 1.40789i | ||||
\(601\) | −2.22503e7 | − | 3.85386e7i | −0.102497 | − | 0.177531i | 0.810216 | − | 0.586132i | \(-0.199350\pi\) |
−0.912713 | + | 0.408601i | \(0.866017\pi\) | |||||||
\(602\) | −6.77427e7 | − | 3.91112e7i | −0.310508 | − | 0.179272i | ||||
\(603\) | 3.07926e7 | + | 3.07926e7i | 0.140441 | + | 0.140441i | ||||
\(604\) | −4.38865e7 | + | 1.17593e7i | −0.199168 | + | 0.0533669i | ||||
\(605\) | −2.37712e7 | − | 8.87151e7i | −0.107346 | − | 0.400619i | ||||
\(606\) | 1.18674e8 | − | 1.18674e8i | 0.533261 | − | 0.533261i | ||||
\(607\) | −4.40161e7 | + | 7.62381e7i | −0.196809 | + | 0.340883i | −0.947492 | − | 0.319779i | \(-0.896391\pi\) |
0.750683 | + | 0.660663i | \(0.229725\pi\) | |||||||
\(608\) | 4.13420e7 | − | 2.38688e7i | 0.183942 | − | 0.106199i | ||||
\(609\) | 1.14063e8 | + | 3.05632e7i | 0.505004 | + | 0.135315i | ||||
\(610\) | − | 2.32857e8i | − | 1.02589i | ||||||
\(611\) | 4.25341e8 | − | 4.49125e7i | 1.86472 | − | 0.196899i | ||||
\(612\) | −2.85161e7 | −0.124404 | ||||||||
\(613\) | −2.64367e7 | + | 9.86631e7i | −0.114769 | + | 0.428325i | −0.999270 | − | 0.0382148i | \(-0.987833\pi\) |
0.884500 | + | 0.466540i | \(0.154500\pi\) | |||||||
\(614\) | −2.63839e7 | − | 4.56983e7i | −0.113981 | − | 0.197422i | ||||
\(615\) | −2.71209e8 | − | 1.56583e8i | −1.16595 | − | 0.673159i | ||||
\(616\) | 1.12114e8 | + | 1.12114e8i | 0.479641 | + | 0.479641i | ||||
\(617\) | −9.03845e7 | + | 2.42184e7i | −0.384803 | + | 0.103108i | −0.446034 | − | 0.895016i | \(-0.647164\pi\) |
0.0612312 | + | 0.998124i | \(0.480497\pi\) | |||||||
\(618\) | 3.26701e7 | + | 1.21926e8i | 0.138416 | + | 0.516574i | ||||
\(619\) | 6.96140e7 | − | 6.96140e7i | 0.293511 | − | 0.293511i | −0.544955 | − | 0.838466i | \(-0.683453\pi\) |
0.838466 | + | 0.544955i | \(0.183453\pi\) | |||||||
\(620\) | −5.94364e6 | + | 1.02947e7i | −0.0249389 | + | 0.0431955i | ||||
\(621\) | 2.35567e7 | − | 1.36005e7i | 0.0983648 | − | 0.0567909i | ||||
\(622\) | −1.23286e8 | − | 3.30344e7i | −0.512322 | − | 0.137276i | ||||
\(623\) | − | 2.22104e7i | − | 0.0918527i | ||||||
\(624\) | −1.18163e8 | + | 4.54238e7i | −0.486325 | + | 0.186952i | ||||
\(625\) | −3.81706e7 | −0.156347 | ||||||||
\(626\) | −7.59948e7 | + | 2.83616e8i | −0.309785 | + | 1.15613i | ||||
\(627\) | −4.42736e7 | − | 7.66842e7i | −0.179615 | − | 0.311102i | ||||
\(628\) | 8.83658e7 | + | 5.10180e7i | 0.356784 | + | 0.205989i | ||||
\(629\) | −1.69186e8 | − | 1.69186e8i | −0.679848 | − | 0.679848i | ||||
\(630\) | −6.89074e7 | + | 1.84637e7i | −0.275578 | + | 0.0738408i | ||||
\(631\) | −8.68249e7 | − | 3.24035e8i | −0.345586 | − | 1.28974i | −0.891926 | − | 0.452181i | \(-0.850646\pi\) |
0.546340 | − | 0.837563i | \(-0.316021\pi\) | |||||||
\(632\) | 1.66828e7 | − | 1.66828e7i | 0.0660872 | − | 0.0660872i | ||||
\(633\) | 1.10395e8 | − | 1.91210e8i | 0.435251 | − | 0.753876i | ||||
\(634\) | −2.06893e8 | + | 1.19450e8i | −0.811854 | + | 0.468724i | ||||
\(635\) | 1.97483e8 | + | 5.29155e7i | 0.771276 | + | 0.206663i | ||||
\(636\) | 4.20886e7i | 0.163604i | ||||||||
\(637\) | 1.75723e8 | + | 2.77449e7i | 0.679845 | + | 0.107341i | ||||
\(638\) | 2.91567e8 | 1.12273 | ||||||||
\(639\) | 2.22918e7 | − | 8.31940e7i | 0.0854362 | − | 0.318852i | ||||
\(640\) | 8.90746e7 | + | 1.54282e8i | 0.339793 | + | 0.588538i | ||||
\(641\) | −3.85925e8 | − | 2.22814e8i | −1.46531 | − | 0.845996i | −0.466059 | − | 0.884754i | \(-0.654327\pi\) |
−0.999249 | + | 0.0387576i | \(0.987660\pi\) | |||||||
\(642\) | 5.12535e7 | + | 5.12535e7i | 0.193695 | + | 0.193695i | ||||
\(643\) | −1.07824e8 | + | 2.88913e7i | −0.405585 | + | 0.108676i | −0.455843 | − | 0.890060i | \(-0.650662\pi\) |
0.0502584 | + | 0.998736i | \(0.483996\pi\) | |||||||
\(644\) | −1.09617e6 | − | 4.09096e6i | −0.00410412 | − | 0.0153168i | ||||
\(645\) | 1.86436e8 | − | 1.86436e8i | 0.694786 | − | 0.694786i | ||||
\(646\) | −5.79953e7 | + | 1.00451e8i | −0.215127 | + | 0.372611i | ||||
\(647\) | −1.20379e8 | + | 6.95006e7i | −0.444464 | + | 0.256611i | −0.705489 | − | 0.708721i | \(-0.749273\pi\) |
0.261025 | + | 0.965332i | \(0.415939\pi\) | |||||||
\(648\) | 1.42923e8 | + | 3.82960e7i | 0.525262 | + | 0.140743i | ||||
\(649\) | 5.20528e8i | 1.90419i | ||||||||
\(650\) | 2.32354e8 | + | 3.19484e8i | 0.846077 | + | 1.16334i | ||||
\(651\) | −1.37312e7 | −0.0497697 | ||||||||
\(652\) | −2.70204e7 | + | 1.00842e8i | −0.0974875 | + | 0.363828i | ||||
\(653\) | 1.10440e8 | + | 1.91288e8i | 0.396633 | + | 0.686988i | 0.993308 | − | 0.115495i | \(-0.0368454\pi\) |
−0.596676 | + | 0.802483i | \(0.703512\pi\) | |||||||
\(654\) | −1.92651e7 | − | 1.11227e7i | −0.0688711 | − | 0.0397628i | ||||
\(655\) | 5.20550e8 | + | 5.20550e8i | 1.85242 | + | 1.85242i | ||||
\(656\) | 1.83919e8 | − | 4.92810e7i | 0.651502 | − | 0.174569i | ||||
\(657\) | 4.03327e7 | + | 1.50524e8i | 0.142220 | + | 0.530773i | ||||
\(658\) | 1.79948e8 | − | 1.79948e8i | 0.631641 | − | 0.631641i | ||||
\(659\) | 2.76369e8 | − | 4.78686e8i | 0.965681 | − | 1.67261i | 0.257908 | − | 0.966169i | \(-0.416967\pi\) |
0.707773 | − | 0.706440i | \(-0.249700\pi\) | |||||||
\(660\) | −9.89625e7 | + | 5.71360e7i | −0.344222 | + | 0.198737i | ||||
\(661\) | −1.75380e8 | − | 4.69930e7i | −0.607263 | − | 0.162716i | −0.0579319 | − | 0.998321i | \(-0.518451\pi\) |
−0.549331 | + | 0.835605i | \(0.685117\pi\) | |||||||
\(662\) | 2.65674e7i | 0.0915747i | ||||||||
\(663\) | −1.82772e8 | + | 2.25927e8i | −0.627145 | + | 0.775223i | ||||
\(664\) | −3.39802e8 | −1.16070 | ||||||||
\(665\) | 2.80568e7 | − | 1.04709e8i | 0.0954055 | − | 0.356058i | ||||
\(666\) | −3.53730e7 | − | 6.12679e7i | −0.119743 | − | 0.207401i | ||||
\(667\) | −3.15445e7 | − | 1.82122e7i | −0.106303 | − | 0.0613742i | ||||
\(668\) | −1.70341e7 | − | 1.70341e7i | −0.0571464 | − | 0.0571464i | ||||
\(669\) | −2.91699e8 | + | 7.81605e7i | −0.974219 | + | 0.261041i | ||||
\(670\) | −5.91637e7 | − | 2.20802e8i | −0.196712 | − | 0.734139i | ||||
\(671\) | −1.75437e8 | + | 1.75437e8i | −0.580704 | + | 0.580704i | ||||
\(672\) | 3.55813e7 | − | 6.16286e7i | 0.117250 | − | 0.203083i | ||||
\(673\) | −2.07081e8 | + | 1.19558e8i | −0.679353 | + | 0.392225i | −0.799611 | − | 0.600518i | \(-0.794961\pi\) |
0.120258 | + | 0.992743i | \(0.461628\pi\) | |||||||
\(674\) | −3.14654e8 | − | 8.43112e7i | −1.02767 | − | 0.275363i | ||||
\(675\) | − | 5.63964e8i | − | 1.83375i | ||||||
\(676\) | −2.58860e7 | + | 7.99309e7i | −0.0837961 | + | 0.258747i | ||||
\(677\) | 9.52489e7 | 0.306969 | 0.153484 | − | 0.988151i | \(-0.450951\pi\) | ||||
0.153484 | + | 0.988151i | \(0.450951\pi\) | |||||||
\(678\) | 5.44297e7 | − | 2.03134e8i | 0.174641 | − | 0.651770i | ||||
\(679\) | 9.58318e7 | + | 1.65985e8i | 0.306126 | + | 0.530226i | ||||
\(680\) | 6.06269e8 | + | 3.50029e8i | 1.92814 | + | 1.11321i | ||||
\(681\) | 474390. | + | 474390.i | 0.00150208 | + | 0.00150208i | ||||
\(682\) | −3.27482e7 | + | 8.77486e6i | −0.103237 | + | 0.0276622i | ||||
\(683\) | −6.77910e7 | − | 2.52999e8i | −0.212770 | − | 0.794067i | −0.986940 | − | 0.161090i | \(-0.948499\pi\) |
0.774170 | − | 0.632978i | \(-0.218168\pi\) | |||||||
\(684\) | 9.05980e6 | − | 9.05980e6i | 0.0283107 | − | 0.0283107i | ||||
\(685\) | −2.55082e8 | + | 4.41815e8i | −0.793612 | + | 1.37458i | ||||
\(686\) | 2.24858e8 | − | 1.29822e8i | 0.696523 | − | 0.402138i | ||||
\(687\) | −1.48467e8 | − | 3.97816e7i | −0.457889 | − | 0.122691i | ||||
\(688\) | 1.60308e8i | 0.492255i | ||||||||
\(689\) | −1.92020e8 | − | 1.55342e8i | −0.587069 | − | 0.474931i | ||||
\(690\) | −3.82126e7 | −0.116321 | ||||||||
\(691\) | 1.59923e8 | − | 5.96841e8i | 0.484704 | − | 1.80894i | −0.0966852 | − | 0.995315i | \(-0.530824\pi\) |
0.581389 | − | 0.813625i | \(-0.302509\pi\) | |||||||
\(692\) | 2.10145e7 | + | 3.63982e7i | 0.0634163 | + | 0.109840i | ||||
\(693\) | 6.58266e7 | + | 3.80050e7i | 0.197789 | + | 0.114193i | ||||
\(694\) | 7.01299e7 | + | 7.01299e7i | 0.209809 | + | 0.209809i | ||||
\(695\) | −5.09988e8 | + | 1.36651e8i | −1.51917 | + | 0.407059i | ||||
\(696\) | −8.86820e7 | − | 3.30966e8i | −0.263031 | − | 0.981646i | ||||
\(697\) | 3.09069e8 | − | 3.09069e8i | 0.912760 | − | 0.912760i | ||||
\(698\) | −2.42668e7 | + | 4.20313e7i | −0.0713586 | + | 0.123597i | ||||
\(699\) | 2.71360e8 | − | 1.56670e8i | 0.794536 | − | 0.458726i | ||||
\(700\) | −8.48188e7 | − | 2.27271e7i | −0.247285 | − | 0.0662599i | ||||
\(701\) | − | 3.52124e8i | − | 1.02221i | −0.859517 | − | 0.511107i | \(-0.829236\pi\) | ||
0.859517 | − | 0.511107i | \(-0.170764\pi\) | |||||||
\(702\) | −2.59656e8 | + | 1.88843e8i | −0.750563 | + | 0.545869i | ||||
\(703\) | 1.07503e8 | 0.309426 | ||||||||
\(704\) | 1.11593e8 | − | 4.16472e8i | 0.319831 | − | 1.19362i | ||||
\(705\) | 4.28891e8 | + | 7.42860e8i | 1.22399 | + | 2.12002i | ||||
\(706\) | −9.71352e7 | − | 5.60810e7i | −0.276034 | − | 0.159368i | ||||
\(707\) | −1.54801e8 | − | 1.54801e8i | −0.438041 | − | 0.438041i | ||||
\(708\) | 1.26340e8 | − | 3.38528e7i | 0.355993 | − | 0.0953881i | ||||
\(709\) | −1.12528e8 | − | 4.19961e8i | −0.315735 | − | 1.17834i | −0.923303 | − | 0.384071i | \(-0.874522\pi\) |
0.607569 | − | 0.794267i | \(-0.292145\pi\) | |||||||
\(710\) | −3.19691e8 | + | 3.19691e8i | −0.893214 | + | 0.893214i | ||||
\(711\) | 5.65524e6 | − | 9.79517e6i | 0.0157341 | − | 0.0272523i | ||||
\(712\) | −5.58114e7 | + | 3.22227e7i | −0.154626 | + | 0.0892735i | ||||
\(713\) | 4.09112e6 | + | 1.09621e6i | 0.0112869 | + | 0.00302431i | ||||
\(714\) | 1.72907e8i | 0.475027i | ||||||||
\(715\) | 1.04583e8 | − | 6.62375e8i | 0.286115 | − | 1.81211i | ||||
\(716\) | 1.99124e7 | 0.0542480 | ||||||||
\(717\) | −9.63382e7 | + | 3.59539e8i | −0.261361 | + | 0.975413i | ||||
\(718\) | −1.17915e8 | − | 2.04234e8i | −0.318562 | − | 0.551766i | ||||
\(719\) | −2.99046e8 | − | 1.72654e8i | −0.804546 | − | 0.464505i | 0.0405122 | − | 0.999179i | \(-0.487101\pi\) |
−0.845058 | + | 0.534674i | \(0.820434\pi\) | |||||||
\(720\) | 1.03379e8 | + | 1.03379e8i | 0.276970 | + | 0.276970i | ||||
\(721\) | 1.59043e8 | − | 4.26154e7i | 0.424334 | − | 0.113700i | ||||
\(722\) | 6.96267e7 | + | 2.59850e8i | 0.184997 | + | 0.690417i | ||||
\(723\) | −1.50754e8 | + | 1.50754e8i | −0.398890 | + | 0.398890i | ||||
\(724\) | −3.20015e7 | + | 5.54283e7i | −0.0843248 | + | 0.146055i | ||||
\(725\) | −6.54020e8 | + | 3.77599e8i | −1.71624 | + | 0.990870i | ||||
\(726\) | −6.35789e7 | − | 1.70359e7i | −0.166151 | − | 0.0445200i | ||||
\(727\) | 3.47043e8i | 0.903193i | 0.892222 | + | 0.451596i | \(0.149145\pi\) | ||||
−0.892222 | + | 0.451596i | \(0.850855\pi\) | |||||||
\(728\) | 8.38903e7 | + | 2.18227e8i | 0.217429 | + | 0.565607i | ||||
\(729\) | 4.06622e8 | 1.04956 | ||||||||
\(730\) | 2.11717e8 | − | 7.90138e8i | 0.544235 | − | 2.03111i | ||||
\(731\) | 1.83997e8 | + | 3.18693e8i | 0.471042 | + | 0.815869i | ||||
\(732\) | 5.39910e7 | + | 3.11717e7i | 0.137654 | + | 0.0794745i | ||||
\(733\) | 2.91764e8 | + | 2.91764e8i | 0.740831 | + | 0.740831i | 0.972738 | − | 0.231907i | \(-0.0744965\pi\) |
−0.231907 | + | 0.972738i | \(0.574497\pi\) | |||||||
\(734\) | −1.39186e8 | + | 3.72949e7i | −0.351972 | + | 0.0943107i | ||||
\(735\) | 9.23428e7 | + | 3.44628e8i | 0.232563 | + | 0.867938i | ||||
\(736\) | −1.55213e7 | + | 1.55213e7i | −0.0389308 | + | 0.0389308i | ||||
\(737\) | −1.21781e8 | + | 2.10930e8i | −0.304211 | + | 0.526910i | ||||
\(738\) | 1.11924e8 | − | 6.46195e7i | 0.278455 | − | 0.160766i | ||||
\(739\) | 1.70943e8 | + | 4.58042e7i | 0.423564 | + | 0.113494i | 0.464304 | − | 0.885676i | \(-0.346305\pi\) |
−0.0407394 | + | 0.999170i | \(0.512971\pi\) | |||||||
\(740\) | − | 1.38735e8i | − | 0.342367i | ||||||
\(741\) | −1.37107e7 | − | 1.29847e8i | −0.0336982 | − | 0.319137i | ||||
\(742\) | −1.46958e8 | −0.359734 | ||||||||
\(743\) | −8.43295e7 | + | 3.14722e8i | −0.205595 | + | 0.767292i | 0.783672 | + | 0.621175i | \(0.213344\pi\) |
−0.989267 | + | 0.146117i | \(0.953322\pi\) | |||||||
\(744\) | 1.99212e7 | + | 3.45045e7i | 0.0483722 | + | 0.0837831i | ||||
\(745\) | 2.05627e8 | + | 1.18719e8i | 0.497291 | + | 0.287111i | ||||
\(746\) | 2.84737e8 | + | 2.84737e8i | 0.685848 | + | 0.685848i | ||||
\(747\) | −1.57350e8 | + | 4.21618e7i | −0.377490 | + | 0.101148i | ||||
\(748\) | −4.12794e7 | − | 1.54057e8i | −0.0986343 | − | 0.368108i | ||||
\(749\) | 6.68559e7 | − | 6.68559e7i | 0.159109 | − | 0.159109i | ||||
\(750\) | −1.61165e8 | + | 2.79147e8i | −0.382022 | + | 0.661681i | ||||
\(751\) | 2.88833e8 | − | 1.66758e8i | 0.681909 | − | 0.393701i | −0.118665 | − | 0.992934i | \(-0.537861\pi\) |
0.800574 | + | 0.599234i | \(0.204528\pi\) | |||||||
\(752\) | −5.03768e8 | − | 1.34984e8i | −1.18461 | − | 0.317416i | ||||
\(753\) | − | 4.45584e8i | − | 1.04363i | ||||||
\(754\) | 3.92849e8 | + | 1.74681e8i | 0.916457 | + | 0.407504i | ||||
\(755\) | 5.34723e8 | 1.24248 | ||||||||
\(756\) | 1.84712e7 | − | 6.89354e7i | 0.0427494 | − | 0.159543i | ||||
\(757\) | −2.35132e8 | − | 4.07261e8i | −0.542032 | − | 0.938826i | −0.998787 | − | 0.0492342i | \(-0.984322\pi\) |
0.456756 | − | 0.889592i | \(-0.349011\pi\) | |||||||
\(758\) | −3.21919e8 | − | 1.85860e8i | −0.739160 | − | 0.426754i | ||||
\(759\) | 2.87900e7 | + | 2.87900e7i | 0.0658439 | + | 0.0658439i | ||||
\(760\) | −3.03824e8 | + | 8.14094e7i | −0.692120 | + | 0.185453i | ||||
\(761\) | 5.52030e7 | + | 2.06020e8i | 0.125259 | + | 0.467473i | 0.999849 | − | 0.0173907i | \(-0.00553591\pi\) |
−0.874590 | + | 0.484864i | \(0.838869\pi\) | |||||||
\(762\) | 1.03607e8 | − | 1.03607e8i | 0.234165 | − | 0.234165i | ||||
\(763\) | −1.45086e7 | + | 2.51296e7i | −0.0326627 | + | 0.0565735i | ||||
\(764\) | 6.64193e7 | − | 3.83472e7i | 0.148941 | − | 0.0859911i | ||||
\(765\) | 3.24172e8 | + | 8.68617e7i | 0.724088 | + | 0.194019i | ||||
\(766\) | − | 2.41058e8i | − | 0.536334i | ||||||
\(767\) | −3.11854e8 | + | 7.01345e8i | −0.691138 | + | 1.55434i | ||||
\(768\) | −2.70675e8 | −0.597537 | ||||||||
\(769\) | −1.17708e8 | + | 4.39293e8i | −0.258838 | + | 0.965995i | 0.707078 | + | 0.707136i | \(0.250013\pi\) |
−0.965915 | + | 0.258859i | \(0.916653\pi\) | |||||||
\(770\) | −1.99498e8 | − | 3.45541e8i | −0.436985 | − | 0.756880i | ||||
\(771\) | 3.31529e8 | + | 1.91408e8i | 0.723366 | + | 0.417636i | ||||
\(772\) | −6.22746e7 | − | 6.22746e7i | −0.135350 | − | 0.135350i | ||||
\(773\) | 8.33050e8 | − | 2.23215e8i | 1.80357 | − | 0.483265i | 0.809042 | − | 0.587751i | \(-0.199986\pi\) |
0.994526 | + | 0.104486i | \(0.0333197\pi\) | |||||||
\(774\) | 2.81619e7 | + | 1.05102e8i | 0.0607350 | + | 0.226666i | ||||
\(775\) | 6.20942e7 | − | 6.20942e7i | 0.133397 | − | 0.133397i | ||||
\(776\) | 2.78065e8 | − | 4.81622e8i | 0.595060 | − | 1.03067i | ||||
\(777\) | 1.38785e8 | − | 8.01278e7i | 0.295856 | − | 0.170813i | ||||
\(778\) | 1.75643e8 | + | 4.70633e7i | 0.372985 | + | 0.0999411i | ||||
\(779\) | 1.96387e8i | 0.415433i | ||||||||
\(780\) | −1.67570e8 | + | 1.76940e7i | −0.353112 | + | 0.0372857i | ||||
\(781\) | 4.81720e8 | 1.01121 | ||||||||
\(782\) | 1.38038e7 | − | 5.15166e7i | 0.0288655 | − | 0.107728i | ||||
\(783\) | −3.06889e8 | − | 5.31547e8i | −0.639287 | − | 1.10728i | ||||
\(784\) | −1.87866e8 | − | 1.08464e8i | −0.389852 | − | 0.225081i | ||||
\(785\) | −8.49143e8 | − | 8.49143e8i | −1.75538 | − | 1.75538i | ||||
\(786\) | 5.09608e8 | − | 1.36549e8i | 1.04947 | − | 0.281204i | ||||
\(787\) | 1.39290e8 | + | 5.19836e8i | 0.285755 | + | 1.06645i | 0.948286 | + | 0.317419i | \(0.102816\pi\) |
−0.662530 | + | 0.749035i | \(0.730517\pi\) | |||||||
\(788\) | 1.72451e7 | − | 1.72451e7i | 0.0352442 | − | 0.0352442i | ||||
\(789\) | −3.22188e8 | + | 5.58045e8i | −0.655961 | + | 1.13616i | ||||
\(790\) | −5.14173e7 | + | 2.96858e7i | −0.104287 | + | 0.0602099i | ||||
\(791\) | −2.64972e8 | − | 7.09989e7i | −0.535389 | − | 0.143457i | ||||
\(792\) | − | 2.20550e8i | − | 0.443947i | ||||||
\(793\) | −3.41486e8 | + | 1.31273e8i | −0.684783 | + | 0.263243i | ||||
\(794\) | 2.68558e8 | 0.536509 | ||||||||
\(795\) | 1.28204e8 | − | 4.78465e8i | 0.255153 | − | 0.952245i | ||||
\(796\) | 1.48090e6 | + | 2.56499e6i | 0.00293620 | + | 0.00508565i | ||||
\(797\) | −2.74469e8 | − | 1.58465e8i | −0.542148 | − | 0.313009i | 0.203801 | − | 0.979012i | \(-0.434670\pi\) |
−0.745949 | + | 0.666003i | \(0.768004\pi\) | |||||||
\(798\) | −5.49341e7 | − | 5.49341e7i | −0.108102 | − | 0.108102i | ||||
\(799\) | −1.15642e9 | + | 3.09863e8i | −2.26713 | + | 0.607476i | ||||
\(800\) | 1.17789e8 | + | 4.39595e8i | 0.230057 | + | 0.858585i | ||||
\(801\) | −2.18462e7 | + | 2.18462e7i | −0.0425087 | + | 0.0425087i | ||||
\(802\) | −1.85104e7 | + | 3.20609e7i | −0.0358833 | + | 0.0621517i | ||||
\(803\) | −7.54812e8 | + | 4.35791e8i | −1.45778 | + | 0.841650i | ||||
\(804\) | 5.91161e7 | + | 1.58401e7i | 0.113746 | + | 0.0304782i | ||||
\(805\) | 4.98452e7i | 0.0955510i | ||||||||
\(806\) | −4.93812e7 | − | 7.79681e6i | −0.0943096 | − | 0.0148906i | ||||
\(807\) | −1.54578e7 | −0.0294122 | ||||||||
\(808\) | −1.64407e8 | + | 6.13576e8i | −0.311664 | + | 1.16315i | ||||
\(809\) | −2.37410e8 | − | 4.11206e8i | −0.448387 | − | 0.776630i | 0.549894 | − | 0.835235i | \(-0.314668\pi\) |
−0.998281 | + | 0.0586048i | \(0.981335\pi\) | |||||||
\(810\) | −3.22465e8 | − | 1.86175e8i | −0.606775 | − | 0.350322i | ||||
\(811\) | 5.79421e7 | + | 5.79421e7i | 0.108625 | + | 0.108625i | 0.759331 | − | 0.650705i | \(-0.225527\pi\) |
−0.650705 | + | 0.759331i | \(0.725527\pi\) | |||||||
\(812\) | −9.23107e7 | + | 2.47346e7i | −0.172418 | + | 0.0461994i | ||||
\(813\) | −2.02413e8 | − | 7.55415e8i | −0.376675 | − | 1.40577i | ||||
\(814\) | 2.79791e8 | − | 2.79791e8i | 0.518753 | − | 0.518753i | ||||
\(815\) | 6.14338e8 | − | 1.06407e9i | 1.13484 | − | 1.96560i | ||||
\(816\) | 3.06879e8 | − | 1.77177e8i | 0.564803 | − | 0.326089i | ||||
\(817\) | −1.59709e8 | − | 4.27939e7i | −0.292862 | − | 0.0784722i | ||||
\(818\) | 4.55274e8i | 0.831789i | ||||||||
\(819\) | 6.59237e7 | + | 9.06443e7i | 0.120002 | + | 0.165002i | ||||
\(820\) | 2.53442e8 | 0.459660 | ||||||||
\(821\) | −1.51418e8 | + | 5.65098e8i | −0.273619 | + | 1.02116i | 0.683142 | + | 0.730286i | \(0.260613\pi\) |
−0.956761 | + | 0.290875i | \(0.906054\pi\) | |||||||
\(822\) | 1.82808e8 | + | 3.16633e8i | 0.329139 | + | 0.570086i | ||||
\(823\) | 1.73643e8 | + | 1.00253e8i | 0.311499 | + | 0.179844i | 0.647597 | − | 0.761983i | \(-0.275774\pi\) |
−0.336098 | + | 0.941827i | \(0.609107\pi\) | |||||||
\(824\) | −3.37825e8 | − | 3.37825e8i | −0.603823 | − | 0.603823i | ||||
\(825\) | 8.15394e8 | − | 2.18484e8i | 1.45213 | − | 0.389097i | ||||
\(826\) | 1.18201e8 | + | 4.41133e8i | 0.209740 | + | 0.782762i | ||||
\(827\) | −2.35925e8 | + | 2.35925e8i | −0.417117 | + | 0.417117i | −0.884209 | − | 0.467092i | \(-0.845302\pi\) |
0.467092 | + | 0.884209i | \(0.345302\pi\) | |||||||
\(828\) | −2.94567e6 | + | 5.10206e6i | −0.00518912 | + | 0.00898782i | ||||
\(829\) | 6.24226e8 | − | 3.60397e8i | 1.09567 | − | 0.632583i | 0.160587 | − | 0.987022i | \(-0.448661\pi\) |
0.935079 | + | 0.354438i | \(0.115328\pi\) | |||||||
\(830\) | 8.25971e8 | + | 2.21318e8i | 1.44454 | + | 0.387064i | ||||
\(831\) | − | 3.85151e8i | − | 0.671163i | ||||||
\(832\) | 3.99870e8 | − | 4.94285e8i | 0.694303 | − | 0.858238i | ||||
\(833\) | −4.97970e8 | −0.861526 | ||||||||
\(834\) | −9.79326e7 | + | 3.65489e8i | −0.168822 | + | 0.630052i | ||||
\(835\) | 1.41757e8 | + | 2.45531e8i | 0.243493 | + | 0.421742i | ||||
\(836\) | 6.20599e7 | + | 3.58303e7i | 0.106217 | + | 0.0613242i | ||||
\(837\) | 5.04663e7 | + | 5.04663e7i | 0.0860647 | + | 0.0860647i | ||||
\(838\) | 5.29928e8 | − | 1.41994e8i | 0.900501 | − | 0.241289i | ||||
\(839\) | 1.59597e8 | + | 5.95624e8i | 0.270233 | + | 1.00852i | 0.958969 | + | 0.283511i | \(0.0914994\pi\) |
−0.688736 | + | 0.725012i | \(0.741834\pi\) | |||||||
\(840\) | −3.31554e8 | + | 3.31554e8i | −0.559392 | + | 0.559392i | ||||
\(841\) | −1.13540e8 | + | 1.96656e8i | −0.190880 | + | 0.330613i | ||||
\(842\) | 5.47399e7 | − | 3.16041e7i | 0.0916997 | − | 0.0529429i | ||||
\(843\) | 1.85669e8 | + | 4.97498e7i | 0.309925 | + | 0.0830441i | ||||
\(844\) | 1.78684e8i | 0.297207i | ||||||||
\(845\) | 5.37747e8 | − | 8.29808e8i | 0.891267 | − | 1.37533i | ||||
\(846\) | −3.53995e8 | −0.584636 | ||||||||
\(847\) | −2.22219e7 | + | 8.29333e7i | −0.0365705 | + | 0.136483i | ||||
\(848\) | 1.50587e8 | + | 2.60824e8i | 0.246944 | + | 0.427720i | ||||
\(849\) | 2.92088e8 | + | 1.68637e8i | 0.477298 | + | 0.275568i | ||||
\(850\) | −7.81909e8 | − | 7.81909e8i | −1.27321 | − | 1.27321i | ||||
\(851\) | −4.77471e7 | + | 1.27938e7i | −0.0774745 | + | 0.0207592i | ||||
\(852\) | −3.13289e7 | − | 1.16921e8i | −0.0506554 | − | 0.189049i | ||||
\(853\) | −5.46270e8 | + | 5.46270e8i | −0.880157 | + | 0.880157i | −0.993550 | − | 0.113393i | \(-0.963828\pi\) |
0.113393 | + | 0.993550i | \(0.463828\pi\) | |||||||
\(854\) | −1.08840e8 | + | 1.88517e8i | −0.174749 | + | 0.302675i | ||||
\(855\) | −1.30589e8 | + | 7.53956e7i | −0.208934 | + | 0.120628i | ||||
\(856\) | −2.64993e8 | − | 7.10047e7i | −0.422487 | − | 0.113205i | ||||
\(857\) | 2.48438e7i | 0.0394708i | 0.999805 | + | 0.0197354i | \(0.00628238\pi\) | ||||
−0.999805 | + | 0.0197354i | \(0.993718\pi\) | |||||||
\(858\) | −3.73627e8 | − | 3.02259e8i | −0.591529 | − | 0.478539i | ||||
\(859\) | −9.36388e7 | −0.147733 | −0.0738663 | − | 0.997268i | \(-0.523534\pi\) | ||||
−0.0738663 | + | 0.997268i | \(0.523534\pi\) | |||||||
\(860\) | −5.52264e7 | + | 2.06108e8i | −0.0868263 | + | 0.324040i | ||||
\(861\) | 1.46377e8 | + | 2.53533e8i | 0.229332 | + | 0.397215i | ||||
\(862\) | 6.10550e8 | + | 3.52501e8i | 0.953234 | + | 0.550350i | ||||
\(863\) | 7.01780e8 | + | 7.01780e8i | 1.09186 | + | 1.09186i | 0.995330 | + | 0.0965339i | \(0.0307756\pi\) |
0.0965339 | + | 0.995330i | \(0.469224\pi\) | |||||||
\(864\) | −3.57276e8 | + | 9.57317e7i | −0.553939 | + | 0.148428i | ||||
\(865\) | −1.28023e8 | − | 4.77788e8i | −0.197806 | − | 0.738222i | ||||
\(866\) | −4.98194e8 | + | 4.98194e8i | −0.767087 | + | 0.767087i | ||||
\(867\) | 1.47138e8 | − | 2.54851e8i | 0.225771 | − | 0.391048i | ||||
\(868\) | 9.62375e6 | − | 5.55627e6i | 0.0147158 | − | 0.00849619i | ||||
\(869\) | 6.11043e7 | + | 1.63728e7i | 0.0931135 | + | 0.0249497i | ||||
\(870\) | 8.62252e8i | 1.30941i | ||||||||
\(871\) | −2.90454e8 | + | 2.11241e8i | −0.439565 | + | 0.319687i | ||||
\(872\) | 8.41961e7 | 0.126982 | ||||||||
\(873\) | 6.90032e7 | − | 2.57524e8i | 0.103711 | − | 0.387056i | ||||
\(874\) | 1.19817e7 | + | 2.07529e7i | 0.0179466 | + | 0.0310845i | ||||
\(875\) | 3.64123e8 | + | 2.10227e8i | 0.543531 | + | 0.313808i | ||||
\(876\) | 1.54863e8 | + | 1.54863e8i | 0.230374 | + | 0.230374i | ||||
\(877\) | 7.88387e8 | − | 2.11248e8i | 1.16880 | − | 0.313179i | 0.378325 | − | 0.925673i | \(-0.376500\pi\) |
0.790476 | + | 0.612493i | \(0.209833\pi\) | |||||||
\(878\) | −1.66558e8 | − | 6.21604e8i | −0.246083 | − | 0.918396i | ||||
\(879\) | −1.75640e7 | + | 1.75640e7i | −0.0258617 | + | 0.0258617i | ||||
\(880\) | −4.08848e8 | + | 7.08146e8i | −0.599949 | + | 1.03914i | ||||
\(881\) | 9.79118e8 | − | 5.65294e8i | 1.43188 | − | 0.826698i | 0.434618 | − | 0.900615i | \(-0.356883\pi\) |
0.997264 | + | 0.0739169i | \(0.0235500\pi\) | |||||||
\(882\) | −1.42223e8 | − | 3.81086e7i | −0.207284 | − | 0.0555415i | ||||
\(883\) | − | 3.21234e8i | − | 0.466594i | −0.972405 | − | 0.233297i | \(-0.925049\pi\) | ||
0.972405 | − | 0.233297i | \(-0.0749515\pi\) | |||||||
\(884\) | 3.66783e7 | − | 2.32302e8i | 0.0530949 | − | 0.336277i | ||||
\(885\) | −1.53936e9 | −2.22080 | ||||||||
\(886\) | 8.00724e6 | − | 2.98834e7i | 0.0115128 | − | 0.0429664i | ||||
\(887\) | −5.59665e8 | − | 9.69369e8i | −0.801969 | − | 1.38905i | −0.918318 | − | 0.395843i | \(-0.870452\pi\) |
0.116349 | − | 0.993208i | \(-0.462881\pi\) | |||||||
\(888\) | −4.02698e8 | − | 2.32498e8i | −0.575097 | − | 0.332032i | ||||
\(889\) | −1.35146e8 | − | 1.35146e8i | −0.192352 | − | 0.192352i | ||||
\(890\) | 1.56650e8 | − | 4.19743e7i | 0.222209 | − | 0.0595407i | ||||
\(891\) | 1.02683e8 | + | 3.83217e8i | 0.145166 | + | 0.541766i | ||||
\(892\) | 1.72815e8 | − | 1.72815e8i | 0.243493 | − | 0.243493i | ||||
\(893\) | 2.68959e8 | − | 4.65851e8i | 0.377687 | − | 0.654174i | ||||
\(894\) | 1.47365e8 | − | 8.50812e7i | 0.206244 | − | 0.119075i | ||||
\(895\) | −2.26365e8 | − | 6.06542e7i | −0.315747 | − | 0.0846042i | ||||
\(896\) | − | 1.66539e8i | − | 0.231521i | ||||||
\(897\) | 2.15424e7 | + | 5.60391e7i | 0.0298481 | + | 0.0776451i | ||||
\(898\) | −5.56436e8 | −0.768398 | ||||||||
\(899\) | 2.47356e7 | − | 9.23144e7i | 0.0340442 | − | 0.127055i | ||||
\(900\) | 6.10734e7 | + | 1.05782e8i | 0.0837770 | + | 0.145106i | ||||
\(901\) | 5.98733e8 | + | 3.45679e8i | 0.818576 | + | 0.472605i | ||||
\(902\) | 5.11123e8 | + | 5.11123e8i | 0.696475 | + | 0.696475i | ||||
\(903\) | −2.38078e8 | + | 6.37929e7i | −0.323338 | + | 0.0866382i | ||||
\(904\) | 2.06010e8 | + | 7.68839e8i | 0.278858 | + | 1.04071i | ||||
\(905\) | 5.32633e8 | − | 5.32633e8i | 0.718592 | − | 0.718592i | ||||
\(906\) | 1.91608e8 | − | 3.31875e8i | 0.257650 | − | 0.446262i | ||||
\(907\) | −9.91511e7 | + | 5.72449e7i | −0.132885 | + | 0.0767211i | −0.564969 | − | 0.825112i | \(-0.691112\pi\) |
0.432084 | + | 0.901833i | \(0.357778\pi\) | |||||||
\(908\) | −524445. | − | 140525.i | −0.000700555 | − | 0.000187713i | ||||
\(909\) | 3.04524e8i | 0.405444i | ||||||||
\(910\) | −6.17809e7 | − | 5.85093e8i | −0.0819842 | − | 0.776427i | ||||
\(911\) | −1.32550e9 | −1.75317 | −0.876585 | − | 0.481247i | \(-0.840184\pi\) | ||||
−0.876585 | + | 0.481247i | \(0.840184\pi\) | |||||||
\(912\) | −4.12076e7 | + | 1.53789e8i | −0.0543241 | + | 0.202740i | ||||
\(913\) | −4.55554e8 | − | 7.89043e8i | −0.598587 | − | 1.03678i | ||||
\(914\) | −6.47234e8 | − | 3.73681e8i | −0.847662 | − | 0.489398i | ||||
\(915\) | −5.18822e8 | − | 5.18822e8i | −0.677259 | − | 0.677259i | ||||
\(916\) | 1.20153e8 | − | 3.21950e7i | 0.156332 | − | 0.0418891i | ||||
\(917\) | −1.78117e8 | − | 6.64740e8i | −0.230992 | − | 0.862073i | ||||
\(918\) | 6.35487e8 | − | 6.35487e8i | 0.821445 | − | 0.821445i | ||||
\(919\) | 3.95474e8 | − | 6.84982e8i | 0.509533 | − | 0.882536i | −0.490407 | − | 0.871494i | \(-0.663152\pi\) |
0.999939 | − | 0.0110424i | \(-0.00351498\pi\) | |||||||
\(920\) | 1.25254e8 | − | 7.23151e7i | 0.160852 | − | 0.0928679i | ||||
\(921\) | −1.60604e8 | − | 4.30338e7i | −0.205579 | − | 0.0550847i | ||||
\(922\) | − | 2.41318e8i | − | 0.307891i | ||||||
\(923\) | 6.49056e8 | + | 2.88603e8i | 0.825424 | + | 0.367026i | ||||
\(924\) | 1.06825e8 | 0.135411 | ||||||||
\(925\) | −2.65257e8 | + | 9.89953e8i | −0.335152 | + | 1.25080i | ||||
\(926\) | 3.83282e6 | + | 6.63864e6i | 0.00482709 | + | 0.00836077i | ||||
\(927\) | −1.98351e8 | − | 1.14518e8i | −0.248998 | − | 0.143759i | ||||
\(928\) | 3.50231e8 | + | 3.50231e8i | 0.438238 | + | 0.438238i | ||||
\(929\) | 3.43440e8 | − | 9.20245e7i | 0.428355 | − | 0.114777i | −0.0381989 | − | 0.999270i | \(-0.512162\pi\) |
0.466554 | + | 0.884493i | \(0.345495\pi\) | |||||||
\(930\) | −2.59499e7 | − | 9.68464e7i | −0.0322617 | − | 0.120402i | ||||
\(931\) | 1.58209e8 | − | 1.58209e8i | 0.196057 | − | 0.196057i | ||||
\(932\) | −1.26791e8 | + | 2.19609e8i | −0.156618 | + | 0.271271i | ||||
\(933\) | −3.48294e8 | + | 2.01088e8i | −0.428846 | + | 0.247594i | ||||
\(934\) | 7.60562e8 | + | 2.03792e8i | 0.933456 | + | 0.250119i | ||||
\(935\) | 1.87706e9i | 2.29638i | ||||||||
\(936\) | 1.32134e8 | − | 2.97163e8i | 0.161134 | − | 0.362382i | ||||
\(937\) | −4.59905e8 | −0.559048 | −0.279524 | − | 0.960139i | \(-0.590177\pi\) | ||||
−0.279524 | + | 0.960139i | \(0.590177\pi\) | |||||||
\(938\) | −5.53078e7 | + | 2.06411e8i | −0.0670159 | + | 0.250107i | ||||
\(939\) | 4.62596e8 | + | 8.01240e8i | 0.558734 | + | 0.967756i | ||||
\(940\) | −6.01191e8 | − | 3.47098e8i | −0.723817 | − | 0.417896i | ||||
\(941\) | 5.05371e7 | + | 5.05371e7i | 0.0606515 | + | 0.0606515i | 0.736782 | − | 0.676130i | \(-0.236344\pi\) |
−0.676130 | + | 0.736782i | \(0.736344\pi\) | |||||||
\(942\) | −8.31294e8 | + | 2.22744e8i | −0.994493 | + | 0.266474i | ||||
\(943\) | −2.33717e7 | − | 8.72245e7i | −0.0278712 | − | 0.104017i | ||||
\(944\) | 6.61812e8 | − | 6.61812e8i | 0.786718 | − | 0.786718i | ||||
\(945\) | −4.19963e8 | + | 7.27397e8i | −0.497640 | + | 0.861938i | ||||
\(946\) | −5.27039e8 | + | 3.04286e8i | −0.622543 | + | 0.359425i | ||||
\(947\) | 1.53870e9 | + | 4.12294e8i | 1.81178 | + | 0.485464i | 0.995713 | − | 0.0924986i | \(-0.0294854\pi\) |
0.816063 | + | 0.577963i | \(0.196152\pi\) | |||||||
\(948\) | − | 1.58958e7i | − | 0.0186576i | ||||||
\(949\) | −1.27810e9 | + | 1.34957e8i | −1.49543 | + | 0.157905i | ||||
\(950\) | 4.96838e8 | 0.579488 | ||||||||
\(951\) | −1.94830e8 | + | 7.27116e8i | −0.226524 | + | 0.845399i | ||||
\(952\) | −3.27217e8 | − | 5.66756e8i | −0.379249 | − | 0.656879i | ||||
\(953\) | 5.59920e8 | + | 3.23270e8i | 0.646915 | + | 0.373497i | 0.787273 | − | 0.616604i | \(-0.211492\pi\) |
−0.140358 | + | 0.990101i | \(0.544825\pi\) | |||||||
\(954\) | 1.44548e8 | + | 1.44548e8i | 0.166482 | + | 0.166482i | ||||
\(955\) | −8.71866e8 | + | 2.33616e8i | −1.00101 | + | 0.268220i | ||||
\(956\) | −7.79658e7 | − | 2.90972e8i | −0.0892340 | − | 0.333026i | ||||
\(957\) | 6.49633e8 | − | 6.49633e8i | 0.741195 | − | 0.741195i | ||||
\(958\) | −1.04777e8 | + | 1.81479e8i | −0.119171 | + | 0.206410i | ||||
\(959\) | 4.13021e8 | − | 2.38458e8i | 0.468291 | − | 0.270368i | ||||
\(960\) | 1.23163e9 | + | 3.30015e8i | 1.39209 | + | 0.373009i | ||||
\(961\) | − | 8.76391e8i | − | 0.987478i | ||||||
\(962\) | 5.44608e8 | − | 2.09357e8i | 0.611729 | − | 0.235159i | ||||
\(963\) | −1.31519e8 | −0.147268 | ||||||||
\(964\) | 4.46565e7 | − | 1.66660e8i | 0.0498486 | − | 0.186038i | ||||
\(965\) | 5.18249e8 | + | 8.97633e8i | 0.576709 | + | 0.998888i | ||||
\(966\) | 3.09363e7 | + | 1.78611e7i | 0.0343192 | + | 0.0198142i | ||||
\(967\) | 1.18037e8 | + | 1.18037e8i | 0.130539 | + | 0.130539i | 0.769358 | − | 0.638818i | \(-0.220577\pi\) |
−0.638818 | + | 0.769358i | \(0.720577\pi\) | |||||||
\(968\) | 2.40638e8 | − | 6.44789e7i | 0.265301 | − | 0.0710872i | ||||
\(969\) | 9.45940e7 | + | 3.53030e8i | 0.103966 | + | 0.388007i | ||||
\(970\) | −9.89591e8 | + | 9.89591e8i | −1.08428 | + | 1.08428i | ||||
\(971\) | −5.93531e8 | + | 1.02803e9i | −0.648314 | + | 1.12291i | 0.335211 | + | 0.942143i | \(0.391192\pi\) |
−0.983525 | + | 0.180770i | \(0.942141\pi\) | |||||||
\(972\) | −1.48938e8 | + | 8.59893e7i | −0.162183 | + | 0.0936366i | ||||
\(973\) | 4.76750e8 | + | 1.27745e8i | 0.517550 | + | 0.138677i | ||||
\(974\) | − | 1.02130e9i | − | 1.10529i | ||||||
\(975\) | 1.22953e9 | + | 1.94132e8i | 1.32656 | + | 0.209451i | ||||
\(976\) | 4.46111e8 | 0.479837 | ||||||||
\(977\) | −1.38766e7 | + | 5.17882e7i | −0.0148799 | + | 0.0555324i | −0.972967 | − | 0.230946i | \(-0.925818\pi\) |
0.958087 | + | 0.286478i | \(0.0924846\pi\) | |||||||
\(978\) | −4.40274e8 | − | 7.62576e8i | −0.470659 | − | 0.815205i | ||||
\(979\) | −1.49647e8 | − | 8.63986e7i | −0.159485 | − | 0.0920786i | ||||
\(980\) | −2.04172e8 | − | 2.04172e8i | −0.216930 | − | 0.216930i | ||||
\(981\) | 3.89882e7 | − | 1.04469e7i | 0.0412977 | − | 0.0110657i | ||||
\(982\) | 1.88917e8 | + | 7.05050e8i | 0.199498 | + | 0.744535i | ||||
\(983\) | −7.12926e7 | + | 7.12926e7i | −0.0750557 | + | 0.0750557i | −0.743638 | − | 0.668582i | \(-0.766901\pi\) |
0.668582 | + | 0.743638i | \(0.266901\pi\) | |||||||
\(984\) | 4.24728e8 | − | 7.35650e8i | 0.445785 | − | 0.772122i | ||||
\(985\) | −2.48573e8 | + | 1.43514e8i | −0.260103 | + | 0.150170i | ||||
\(986\) | −1.16245e9 | − | 3.11478e8i | −1.21267 | − | 0.324935i | ||||
\(987\) | − | 8.01876e8i | − | 0.833981i | ||||||
\(988\) | 6.21514e7 | + | 8.54575e7i | 0.0644437 | + | 0.0886093i | ||||
\(989\) | 7.60268e7 | 0.0785919 | ||||||||
\(990\) | −1.43648e8 | + | 5.36100e8i | −0.148045 | + | 0.552510i | ||||
\(991\) | −4.04022e8 | − | 6.99786e8i | −0.415130 | − | 0.719026i | 0.580312 | − | 0.814394i | \(-0.302930\pi\) |
−0.995442 | + | 0.0953684i | \(0.969597\pi\) | |||||||
\(992\) | −4.98776e7 | − | 2.87968e7i | −0.0510940 | − | 0.0294992i | ||||
\(993\) | 5.91942e7 | + | 5.91942e7i | 0.0604549 | + | 0.0604549i | ||||
\(994\) | 4.08245e8 | − | 1.09389e8i | 0.415682 | − | 0.111382i | ||||
\(995\) | −9.02181e6 | − | 3.36698e7i | −0.00915850 | − | 0.0341800i | ||||
\(996\) | −1.61886e8 | + | 1.61886e8i | −0.163844 | + | 0.163844i | ||||
\(997\) | −4.19444e7 | + | 7.26499e7i | −0.0423242 | + | 0.0733077i | −0.886411 | − | 0.462898i | \(-0.846810\pi\) |
0.844087 | + | 0.536206i | \(0.180143\pi\) | |||||||
\(998\) | −6.24665e8 | + | 3.60650e8i | −0.628428 | + | 0.362823i | ||||
\(999\) | −8.04572e8 | − | 2.15584e8i | −0.806991 | − | 0.216232i |
(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 | 13.7.f.a.11.4 | yes | 24 | |
13.6 | odd | 12 | inner | 13.7.f.a.6.4 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
13.7.f.a.6.4 | ✓ | 24 | 13.6 | odd | 12 | inner | |
13.7.f.a.11.4 | yes | 24 | 1.1 | even | 1 | trivial |