Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [196,6,Mod(165,196)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(196, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("196.165");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 196 = 2^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 196.e (of order \(3\), degree \(2\), not 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: | \(31.4352286833\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{9}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 28) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 165.1 | ||
Root | \(0.500000 + 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 196.165 |
Dual form | 196.6.e.f.177.1 |
$q$-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 \(\left(\mathbb{Z}/196\mathbb{Z}\right)^\times\).
\(n\) | \(99\) | \(101\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 1.00000 | − | 1.73205i | 0.0641500 | − | 0.111111i | −0.832167 | − | 0.554526i | \(-0.812900\pi\) |
0.896317 | + | 0.443415i | \(0.146233\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 48.0000 | + | 83.1384i | 0.858650 | + | 1.48723i | 0.873217 | + | 0.487332i | \(0.162030\pi\) |
−0.0145668 | + | 0.999894i | \(0.504637\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 119.500 | + | 206.980i | 0.491770 | + | 0.851770i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 360.000 | − | 623.538i | 0.897059 | − | 1.55375i | 0.0658225 | − | 0.997831i | \(-0.479033\pi\) |
0.831236 | − | 0.555920i | \(-0.187634\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 572.000 | 0.938723 | 0.469362 | − | 0.883006i | \(-0.344484\pi\) | ||||
0.469362 | + | 0.883006i | \(0.344484\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 192.000 | 0.220330 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −627.000 | + | 1086.00i | −0.526193 | + | 0.911393i | 0.473341 | + | 0.880879i | \(0.343048\pi\) |
−0.999534 | + | 0.0305142i | \(0.990286\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 47.0000 | + | 81.4064i | 0.0298685 | + | 0.0517338i | 0.880573 | − | 0.473910i | \(-0.157158\pi\) |
−0.850705 | + | 0.525644i | \(0.823824\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −48.0000 | − | 83.1384i | −0.0189200 | − | 0.0327704i | 0.856410 | − | 0.516296i | \(-0.172689\pi\) |
−0.875330 | + | 0.483525i | \(0.839356\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3045.50 | + | 5274.96i | −0.974560 | + | 1.68799i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 964.000 | 0.254488 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −4374.00 | −0.965792 | −0.482896 | − | 0.875678i | \(-0.660415\pi\) | ||||
−0.482896 | + | 0.875678i | \(0.660415\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3122.00 | − | 5407.46i | 0.583484 | − | 1.01062i | −0.411579 | − | 0.911374i | \(-0.635023\pi\) |
0.995063 | − | 0.0992492i | \(-0.0316441\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −720.000 | − | 1247.08i | −0.115093 | − | 0.199346i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5399.00 | + | 9351.34i | 0.648349 | + | 1.12297i | 0.983517 | + | 0.180815i | \(0.0578737\pi\) |
−0.335168 | + | 0.942158i | \(0.608793\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 572.000 | − | 990.733i | 0.0602191 | − | 0.104303i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 12006.0 | 1.11542 | 0.557710 | − | 0.830036i | \(-0.311680\pi\) | ||||
0.557710 | + | 0.830036i | \(0.311680\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −9160.00 | −0.755482 | −0.377741 | − | 0.925911i | \(-0.623299\pi\) | ||||
−0.377741 | + | 0.925911i | \(0.623299\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −11472.0 | + | 19870.1i | −0.844516 | + | 1.46274i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 12918.0 | + | 22374.6i | 0.853003 | + | 1.47744i | 0.878485 | + | 0.477770i | \(0.158555\pi\) |
−0.0254821 | + | 0.999675i | \(0.508112\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 1254.00 | + | 2171.99i | 0.0675106 | + | 0.116932i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −507.000 | + | 878.150i | −0.0247924 | + | 0.0429417i | −0.878155 | − | 0.478375i | \(-0.841226\pi\) |
0.853363 | + | 0.521317i | \(0.174559\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 69120.0 | 3.08104 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 188.000 | 0.00766427 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −621.000 | + | 1075.60i | −0.0232253 | + | 0.0402274i | −0.877404 | − | 0.479751i | \(-0.840727\pi\) |
0.854179 | + | 0.519979i | \(0.174060\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3796.00 | − | 6574.86i | −0.130618 | − | 0.226236i | 0.793297 | − | 0.608835i | \(-0.208363\pi\) |
−0.923915 | + | 0.382598i | \(0.875029\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 27456.0 | + | 47555.2i | 0.806035 | + | 1.39609i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −20566.0 | + | 35621.4i | −0.559710 | + | 0.969446i | 0.437811 | + | 0.899067i | \(0.355754\pi\) |
−0.997520 | + | 0.0703784i | \(0.977579\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −192.000 | −0.00485488 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −37632.0 | −0.885955 | −0.442977 | − | 0.896533i | \(-0.646078\pi\) | ||||
−0.442977 | + | 0.896533i | \(0.646078\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 6719.00 | − | 11637.6i | 0.147570 | − | 0.255598i | −0.782759 | − | 0.622325i | \(-0.786188\pi\) |
0.930329 | + | 0.366727i | \(0.119522\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 6091.00 | + | 10549.9i | 0.125036 | + | 0.216569i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −3124.00 | − | 5410.93i | −0.0563175 | − | 0.0975448i | 0.836492 | − | 0.547979i | \(-0.184603\pi\) |
−0.892810 | + | 0.450434i | \(0.851269\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −28074.5 | + | 48626.5i | −0.475444 | + | 0.823493i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −25254.0 | −0.402379 | −0.201189 | − | 0.979552i | \(-0.564481\pi\) | ||||
−0.201189 | + | 0.979552i | \(0.564481\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −120384. | −1.80726 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −4374.00 | + | 7575.99i | −0.0619556 | + | 0.107310i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 22563.0 | + | 39080.3i | 0.301941 | + | 0.522977i | 0.976576 | − | 0.215175i | \(-0.0690322\pi\) |
−0.674635 | + | 0.738152i | \(0.735699\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −6244.00 | − | 10814.9i | −0.0748610 | − | 0.129663i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −4512.00 | + | 7815.01i | −0.0512932 | + | 0.0888425i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 107222. | 1.15706 | 0.578528 | − | 0.815662i | \(-0.303627\pi\) | ||||
0.578528 | + | 0.815662i | \(0.303627\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 172080. | 1.76458 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −23568.0 | + | 40821.0i | −0.229890 | + | 0.398180i | −0.957775 | − | 0.287518i | \(-0.907170\pi\) |
0.727886 | + | 0.685699i | \(0.240503\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −61102.0 | − | 105832.i | −0.567495 | − | 0.982931i | −0.996813 | − | 0.0797772i | \(-0.974579\pi\) |
0.429317 | − | 0.903154i | \(-0.358754\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 64818.0 | + | 112268.i | 0.547314 | + | 0.947975i | 0.998457 | + | 0.0555236i | \(0.0176828\pi\) |
−0.451144 | + | 0.892451i | \(0.648984\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 110279. | − | 191009.i | 0.889051 | − | 1.53988i | 0.0480515 | − | 0.998845i | \(-0.484699\pi\) |
0.840999 | − | 0.541036i | \(-0.181968\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 21596.0 | 0.166366 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 170694. | 1.25754 | 0.628770 | − | 0.777591i | \(-0.283559\pi\) | ||||
0.628770 | + | 0.777591i | \(0.283559\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4608.00 | − | 7981.29i | 0.0324914 | − | 0.0562767i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 68354.0 | + | 118393.i | 0.461636 | + | 0.799576i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −178674. | − | 309473.i | −1.10943 | − | 1.92159i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 12006.0 | − | 20795.0i | 0.0715543 | − | 0.123936i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −284736. | −1.62992 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −249808. | −1.37435 | −0.687175 | − | 0.726492i | \(-0.741149\pi\) | ||||
−0.687175 | + | 0.726492i | \(0.741149\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −9160.00 | + | 15865.6i | −0.0484642 | + | 0.0839425i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −6105.00 | − | 10574.2i | −0.0310819 | − | 0.0538354i | 0.850066 | − | 0.526676i | \(-0.176562\pi\) |
−0.881148 | + | 0.472841i | \(0.843229\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 46272.0 | + | 80145.5i | 0.218516 | + | 0.378481i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 6951.00 | − | 12039.5i | 0.0316407 | − | 0.0548033i | −0.849771 | − | 0.527151i | \(-0.823260\pi\) |
0.881412 | + | 0.472348i | \(0.156593\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −431794. | −1.89557 | −0.947785 | − | 0.318911i | \(-0.896683\pi\) | ||||
−0.947785 | + | 0.318911i | \(0.896683\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 51672.0 | 0.218881 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 205920. | − | 356664.i | 0.842090 | − | 1.45854i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −209952. | − | 363648.i | −0.829278 | − | 1.43635i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −163407. | − | 283029.i | −0.602983 | − | 1.04440i | −0.992367 | − | 0.123321i | \(-0.960645\pi\) |
0.389384 | − | 0.921076i | \(-0.372688\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −86740.0 | + | 150238.i | −0.309583 | + | 0.536213i | −0.978271 | − | 0.207330i | \(-0.933523\pi\) |
0.668688 | + | 0.743543i | \(0.266856\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −299706. | −1.03506 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 599424. | 2.00403 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 27266.0 | − | 47226.1i | 0.0882820 | − | 0.152909i | −0.818503 | − | 0.574502i | \(-0.805196\pi\) |
0.906785 | + | 0.421593i | \(0.138529\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 1014.00 | + | 1756.30i | 0.00318086 | + | 0.00550942i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −52480.0 | − | 90898.0i | −0.154712 | − | 0.267970i | 0.778242 | − | 0.627965i | \(-0.216112\pi\) |
−0.932954 | + | 0.359995i | \(0.882778\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 69120.0 | − | 119719.i | 0.197649 | − | 0.342338i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 160788. | 0.446131 | 0.223066 | − | 0.974803i | \(-0.428394\pi\) | ||||
0.223066 | + | 0.974803i | \(0.428394\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −44109.0 | −0.118798 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −11233.0 | + | 19456.1i | −0.0293769 | + | 0.0508822i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −180282. | − | 312258.i | −0.457970 | − | 0.793227i | 0.540883 | − | 0.841098i | \(-0.318090\pi\) |
−0.998854 | + | 0.0478701i | \(0.984757\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 1242.00 | + | 2151.21i | 0.00297981 | + | 0.00516118i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 156366. | − | 270834.i | 0.364762 | − | 0.631787i | −0.623976 | − | 0.781444i | \(-0.714484\pi\) |
0.988738 | + | 0.149657i | \(0.0478170\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −123820. | −0.280928 | −0.140464 | − | 0.990086i | \(-0.544859\pi\) | ||||
−0.140464 | + | 0.990086i | \(0.544859\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −15184.0 | −0.0335165 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −518304. | + | 897729.i | −1.11341 | + | 1.92848i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 451440. | + | 781917.i | 0.944052 | + | 1.63515i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −161724. | − | 280114.i | −0.320768 | − | 0.555586i | 0.659879 | − | 0.751372i | \(-0.270608\pi\) |
−0.980647 | + | 0.195786i | \(0.937274\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 309977. | − | 536896.i | 0.599013 | − | 1.03752i | −0.393954 | − | 0.919130i | \(-0.628893\pi\) |
0.992967 | − | 0.118391i | \(-0.0377735\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 109824. | 0.206829 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −499362. | −0.916748 | −0.458374 | − | 0.888759i | \(-0.651568\pi\) | ||||
−0.458374 | + | 0.888759i | \(0.651568\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 392966. | − | 680637.i | 0.703432 | − | 1.21838i | −0.263822 | − | 0.964571i | \(-0.584983\pi\) |
0.967254 | − | 0.253809i | \(-0.0816835\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 41132.0 | + | 71242.7i | 0.0718108 | + | 0.124380i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 576288. | + | 998160.i | 0.957756 | + | 1.65888i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 11472.0 | − | 19870.1i | 0.0186086 | − | 0.0322310i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 67680.0 | 0.107175 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.06276e6 | 1.64335 | 0.821676 | − | 0.569955i | \(-0.193039\pi\) | ||||
0.821676 | + | 0.569955i | \(0.193039\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −37632.0 | + | 65180.5i | −0.0568340 | + | 0.0984394i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −439680. | − | 761548.i | −0.648695 | − | 1.12357i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −13438.0 | − | 23275.3i | −0.0189332 | − | 0.0327933i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −358644. | + | 621190.i | −0.493950 | + | 0.855546i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 707720. | 0.953014 | 0.476507 | − | 0.879171i | \(-0.341903\pi\) | ||||
0.476507 | + | 0.879171i | \(0.341903\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −1.45575e6 | −1.91704 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 522183. | − | 904447.i | 0.672602 | − | 1.16498i | −0.304562 | − | 0.952493i | \(-0.598510\pi\) |
0.977164 | − | 0.212488i | \(-0.0681567\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 269858. | + | 467408.i | 0.340053 | + | 0.588989i | 0.984442 | − | 0.175709i | \(-0.0562217\pi\) |
−0.644389 | + | 0.764698i | \(0.722888\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −88557.0 | − | 153385.i | −0.106864 | − | 0.185095i | 0.807634 | − | 0.589684i | \(-0.200748\pi\) |
−0.914498 | + | 0.404590i | \(0.867414\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −1.24013e6 | + | 2.14796e6i | −1.46486 | + | 2.53722i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −12496.0 | −0.0144511 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −655464. | −0.742257 | −0.371128 | − | 0.928582i | \(-0.621029\pi\) | ||||
−0.371128 | + | 0.928582i | \(0.621029\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −693547. | + | 1.20126e6i | −0.769189 | + | 1.33228i | 0.168814 | + | 0.985648i | \(0.446006\pi\) |
−0.938003 | + | 0.346627i | \(0.887327\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 173275. | + | 300121.i | 0.188244 | + | 0.326047i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 26884.0 | + | 46564.5i | 0.0280383 | + | 0.0485637i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −25254.0 | + | 43741.2i | −0.0258126 | + | 0.0447087i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 1.88811e6 | 1.89166 | 0.945830 | − | 0.324663i | \(-0.105251\pi\) | ||||
0.945830 | + | 0.324663i | \(0.105251\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −69120.0 | −0.0678895 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −120384. | + | 208511.i | −0.115936 | + | 0.200807i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −173097. | − | 299813.i | −0.163477 | − | 0.283151i | 0.772636 | − | 0.634849i | \(-0.218938\pi\) |
−0.936113 | + | 0.351698i | \(0.885604\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −522693. | − | 905331.i | −0.474947 | − | 0.822633i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 464544. | − | 804614.i | 0.414131 | − | 0.717296i | −0.581206 | − | 0.813756i | \(-0.697419\pi\) |
0.995337 | + | 0.0964609i | \(0.0307523\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −97344.0 | −0.0851519 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 90252.0 | 0.0774780 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −191034. | + | 330881.i | −0.160964 | + | 0.278799i | −0.935215 | − | 0.354081i | \(-0.884794\pi\) |
0.774250 | + | 0.632879i | \(0.218127\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 790280. | + | 1.36881e6i | 0.653669 | + | 1.13219i | 0.982226 | + | 0.187703i | \(0.0601044\pi\) |
−0.328557 | + | 0.944484i | \(0.606562\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 2.19276e6 | + | 3.79797e6i | 1.74847 | + | 3.02845i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 684557. | − | 1.18569e6i | 0.536056 | − | 0.928476i | −0.463055 | − | 0.886329i | \(-0.653247\pi\) |
0.999111 | − | 0.0421469i | \(-0.0134198\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 1.49232e6 | 1.14776 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −394854. | −0.298312 | −0.149156 | − | 0.988814i | \(-0.547656\pi\) | ||||
−0.149156 | + | 0.988814i | \(0.547656\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −336517. | + | 582865.i | −0.249770 | + | 0.432615i | −0.963462 | − | 0.267845i | \(-0.913688\pi\) |
0.713692 | + | 0.700460i | \(0.247022\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 9024.00 | + | 15630.0i | 0.00658092 | + | 0.0113985i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −76329.5 | − | 132207.i | −0.0537586 | − | 0.0931126i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 107222. | − | 185714.i | 0.0742252 | − | 0.128562i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 1.83468e6 | 1.24851 | 0.624254 | − | 0.781222i | \(-0.285403\pi\) | ||||
0.624254 | + | 0.781222i | \(0.285403\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −119232. | −0.0797697 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 347040. | − | 601091.i | 0.228291 | − | 0.395411i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −27456.0 | − | 47555.2i | −0.0177607 | − | 0.0307624i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 47136.0 | + | 81641.9i | 0.0294948 | + | 0.0510866i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 364416. | − | 631187.i | 0.224310 | − | 0.388516i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −1.51056e6 | −0.914727 | −0.457363 | − | 0.889280i | \(-0.651206\pi\) | ||||
−0.457363 | + | 0.889280i | \(0.651206\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −244408. | −0.145619 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 937644. | − | 1.62405e6i | 0.549714 | − | 0.952133i | −0.448580 | − | 0.893743i | \(-0.648070\pi\) |
0.998294 | − | 0.0583901i | \(-0.0185967\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 755381. | + | 1.30836e6i | 0.435818 | + | 0.754859i | 0.997362 | − | 0.0725879i | \(-0.0231258\pi\) |
−0.561544 | + | 0.827447i | \(0.689792\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −1.01355e6 | − | 1.75551e6i | −0.566495 | − | 0.981197i | −0.996909 | − | 0.0785659i | \(-0.974966\pi\) |
0.430414 | − | 0.902631i | \(-0.358367\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.57464e6 | + | 2.72736e6i | −0.866372 | + | 1.50060i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 259272. | 0.140441 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −117876. | −0.0628665 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.74203e6 | + | 3.01728e6i | −0.914842 | + | 1.58455i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −220558. | − | 382018.i | −0.114065 | − | 0.197567i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −770044. | − | 1.33376e6i | −0.386319 | − | 0.669123i | 0.605633 | − | 0.795744i | \(-0.292920\pi\) |
−0.991951 | + | 0.126621i | \(0.959587\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −1.29036e6 | + | 2.23497e6i | −0.637677 | + | 1.10449i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −3.94867e6 | −1.92238 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.01166e6 | 0.485245 | 0.242622 | − | 0.970121i | \(-0.421992\pi\) | ||||
0.242622 | + | 0.970121i | \(0.421992\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 170694. | − | 295651.i | 0.0806713 | − | 0.139727i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −2.24784e6 | − | 3.89337e6i | −1.04684 | − | 1.81318i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −9216.00 | − | 15962.6i | −0.00416864 | − | 0.00722030i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 1.07874e6 | − | 1.86843e6i | 0.480942 | − | 0.833017i | −0.518818 | − | 0.854884i | \(-0.673628\pi\) |
0.999761 | + | 0.0218677i | \(0.00696127\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1.15798e6 | −0.508906 | −0.254453 | − | 0.967085i | \(-0.581895\pi\) | ||||
−0.254453 | + | 0.967085i | \(0.581895\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 551408. | 0.238894 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 1.58783e6 | − | 2.75020e6i | 0.678215 | − | 1.17470i | −0.297303 | − | 0.954783i | \(-0.596087\pi\) |
0.975518 | − | 0.219920i | \(-0.0705796\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.80634e6 | − | 3.12867e6i | −0.760725 | − | 1.31761i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 37308.0 | + | 64619.4i | 0.0152780 | + | 0.0264622i | 0.873563 | − | 0.486711i | \(-0.161803\pi\) |
−0.858285 | + | 0.513173i | \(0.828470\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1.23363e6 | − | 2.13671e6i | 0.498216 | − | 0.862935i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −714698. | −0.284679 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 1.29005e6 | 0.506843 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 899036. | − | 1.55718e6i | 0.348427 | − | 0.603493i | −0.637543 | − | 0.770415i | \(-0.720049\pi\) |
0.985970 | + | 0.166921i | \(0.0533826\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 1.43472e6 | + | 2.48500e6i | 0.548530 | + | 0.950082i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −1.10230e6 | − | 1.90924e6i | −0.410231 | − | 0.710542i | 0.584683 | − | 0.811262i | \(-0.301219\pi\) |
−0.994915 | + | 0.100720i | \(0.967885\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −284736. | + | 493177.i | −0.104560 | + | 0.181103i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −2.50193e6 | −0.906612 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −177568. | −0.0634990 | −0.0317495 | − | 0.999496i | \(-0.510108\pi\) | ||||
−0.0317495 | + | 0.999496i | \(0.510108\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −249808. | + | 432680.i | −0.0881645 | + | 0.152705i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 1.43734e6 | + | 2.48955e6i | 0.500683 | + | 0.867209i | 1.00000 | 0.000789287i | \(0.000251238\pi\) | |
−0.499316 | + | 0.866420i | \(0.666415\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −1.09462e6 | − | 1.89594e6i | −0.371523 | − | 0.643497i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 2.39982e6 | − | 4.15662e6i | 0.804091 | − | 1.39273i | −0.112812 | − | 0.993616i | \(-0.535986\pi\) |
0.916903 | − | 0.399110i | \(-0.130681\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 120384. | 0.0398223 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −24420.0 | −0.00797562 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 299904. | − | 519449.i | 0.0967140 | − | 0.167514i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 1.40821e6 | + | 2.43910e6i | 0.448428 | + | 0.776699i | 0.998284 | − | 0.0585598i | \(-0.0186508\pi\) |
−0.549856 | + | 0.835259i | \(0.685318\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 1.41898e6 | + | 2.45775e6i | 0.440673 | + | 0.763269i | 0.997740 | − | 0.0671994i | \(-0.0214064\pi\) |
−0.557066 | + | 0.830468i | \(0.688073\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.78578e6 | − | 3.09307e6i | 0.547730 | − | 0.948696i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −5.39030e6 | −1.63296 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 7.77456e6 | 2.32643 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −77143.0 | + | 133616.i | −0.0228028 | + | 0.0394956i | −0.877202 | − | 0.480122i | \(-0.840592\pi\) |
0.854399 | + | 0.519618i | \(0.173926\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −13902.0 | − | 24079.0i | −0.00405950 | − | 0.00703126i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1.21219e6 | − | 2.09958e6i | −0.345502 | − | 0.598428i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −431794. | + | 747889.i | −0.121601 | + | 0.210619i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 3.72865e6 | 1.03757 | 0.518783 | − | 0.854906i | \(-0.326385\pi\) | ||||
0.518783 | + | 0.854906i | \(0.326385\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.32623e6 | −0.639658 | −0.319829 | − | 0.947475i | \(-0.603626\pi\) | ||||
−0.319829 | + | 0.947475i | \(0.603626\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −3.08740e6 | + | 5.34754e6i | −0.838962 | + | 1.45312i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −3.81906e6 | − | 6.61480e6i | −1.02561 | − | 1.77642i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −411840. | − | 713328.i | −0.108040 | − | 0.187131i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 1.30741e6 | − | 2.26450e6i | 0.339015 | − | 0.587192i | −0.645232 | − | 0.763986i | \(-0.723239\pi\) |
0.984248 | + | 0.176795i | \(0.0565728\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −1.19226e6 | −0.305598 | −0.152799 | − | 0.988257i | \(-0.548829\pi\) | ||||
−0.152799 | + | 0.988257i | \(0.548829\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −839808. | −0.212793 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 4512.00 | − | 7815.01i | 0.00113023 | − | 0.00195761i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −528964. | − | 916193.i | −0.130998 | − | 0.226895i | 0.793064 | − | 0.609139i | \(-0.208485\pi\) |
−0.924062 | + | 0.382244i | \(0.875151\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −2.06378e6 | − | 3.57457e6i | −0.499636 | − | 0.865395i | 0.500364 | − | 0.865815i | \(-0.333200\pi\) |
−1.00000 | 0.000420339i | \(0.999866\pi\) | ||||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −2.16605e6 | + | 3.75171e6i | −0.518523 | + | 0.898108i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −653628. | −0.154725 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 3.75823e6 | 0.879766 | 0.439883 | − | 0.898055i | \(-0.355020\pi\) | ||||
0.439883 | + | 0.898055i | \(0.355020\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 4.32216e6 | − | 7.48620e6i | 1.00060 | − | 1.73309i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 173480. | + | 300476.i | 0.0397195 | + | 0.0687962i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 225557. | + | 390676.i | 0.0505203 | + | 0.0875037i | 0.890180 | − | 0.455610i | \(-0.150579\pi\) |
−0.839659 | + | 0.543113i | \(0.817245\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −604428. | + | 1.04690e6i | −0.133910 | + | 0.231939i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −1.95186e6 | −0.427756 | −0.213878 | − | 0.976860i | \(-0.568610\pi\) | ||||
−0.213878 | + | 0.976860i | \(0.568610\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −7.20218e6 | −1.56139 | −0.780695 | − | 0.624913i | \(-0.785135\pi\) | ||||
−0.780695 | + | 0.624913i | \(0.785135\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 599424. | − | 1.03823e6i | 0.128559 | − | 0.222670i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −3.58900e6 | − | 6.21634e6i | −0.761521 | − | 1.31899i | −0.942066 | − | 0.335426i | \(-0.891120\pi\) |
0.180545 | − | 0.983567i | \(-0.442214\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −54532.0 | − | 94452.2i | −0.0113266 | − | 0.0196182i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −3.29760e6 | + | 5.71161e6i | −0.677712 | + | 1.17383i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −572554. | −0.116435 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −242346. | −0.0487686 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −3.08816e6 | + | 5.34885e6i | −0.614980 | + | 1.06518i | 0.375408 | + | 0.926859i | \(0.377502\pi\) |
−0.990388 | + | 0.138316i | \(0.955831\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 3.08823e6 | + | 5.34897e6i | 0.608621 | + | 1.05416i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 5.14666e6 | + | 8.91427e6i | 0.993507 | + | 1.72080i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −3.79665e6 | + | 6.57599e6i | −0.725401 | + | 1.25643i | 0.233408 | + | 0.972379i | \(0.425012\pi\) |
−0.958809 | + | 0.284052i | \(0.908321\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −209920. | −0.0396992 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −1.51878e6 | −0.284309 | −0.142155 | − | 0.989844i | \(-0.545403\pi\) | ||||
−0.142155 | + | 0.989844i | \(0.545403\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.74250e6 | − | 4.75015e6i | 0.508193 | − | 0.880217i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 8.25984e6 | + | 1.43065e7i | 1.51516 | + | 2.62433i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −737878. | − | 1.27804e6i | −0.132658 | − | 0.229770i | 0.792042 | − | 0.610466i | \(-0.209018\pi\) |
−0.924700 | + | 0.380696i | \(0.875685\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 160788. | − | 278493.i | 0.0286193 | − | 0.0495701i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −1.31309e6 | −0.231406 | −0.115703 | − | 0.993284i | \(-0.536912\pi\) | ||||
−0.115703 | + | 0.993284i | \(0.536912\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −4.52506e6 | −0.789579 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −44109.0 | + | 76399.0i | −0.00762092 | + | 0.0131998i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −2.20466e6 | − | 3.81858e6i | −0.377178 | − | 0.653292i | 0.613472 | − | 0.789716i | \(-0.289772\pi\) |
−0.990651 | + | 0.136424i | \(0.956439\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 45308.0 | + | 78475.8i | 0.00760119 | + | 0.0131656i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 5.86579e6 | − | 1.01598e7i | 0.974560 | − | 1.68799i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 1.86019e7 | 3.06078 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −721128. | −0.117515 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −1.48815e6 | + | 2.57755e6i | −0.240188 | + | 0.416018i | −0.960768 | − | 0.277354i | \(-0.910542\pi\) |
0.720580 | + | 0.693372i | \(0.243876\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −3.17314e6 | − | 5.49603e6i | −0.507265 | − | 0.878608i | −0.999965 | − | 0.00840891i | \(-0.997323\pi\) |
0.492700 | − | 0.870199i | \(-0.336010\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 3.91499e6 | + | 6.78096e6i | 0.614050 | + | 1.06357i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3.21356e6 | − | 5.56606e6i | 0.499284 | − | 0.864785i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −296838. | −0.0456860 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 6.86743e6 | 1.04707 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −6.22253e6 | + | 1.07777e7i | −0.939902 | + | 1.62796i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −312732. | − | 541668.i | −0.0467990 | − | 0.0810583i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 683333. | + | 1.18357e6i | 0.100378 | + | 0.173860i | 0.911840 | − | 0.410545i | \(-0.134661\pi\) |
−0.811462 | + | 0.584405i | \(0.801328\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −123820. | + | 214463.i | −0.0180215 | + | 0.0312142i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 2.11736e7 | 3.05353 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −9.55818e6 | −1.36586 | −0.682931 | − | 0.730483i | \(-0.739295\pi\) | ||||
−0.682931 | + | 0.730483i | \(0.739295\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 907244. | − | 1.57139e6i | 0.128467 | − | 0.222512i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −205578. | − | 356072.i | −0.0288468 | − | 0.0499641i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 1.03661e6 | + | 1.79546e6i | 0.142851 | + | 0.247425i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −3.47144e6 | + | 6.01270e6i | −0.474101 | + | 0.821167i | −0.999560 | − | 0.0296515i | \(-0.990560\pi\) |
0.525459 | + | 0.850819i | \(0.323894\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −5.23952e6 | −0.709189 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1.80576e6 | 0.242244 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −2.62331e6 | + | 4.54371e6i | −0.348802 | + | 0.604143i | −0.986037 | − | 0.166527i | \(-0.946745\pi\) |
0.637235 | + | 0.770670i | \(0.280078\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 8.19331e6 | + | 1.41912e7i | 1.07979 | + | 1.87025i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −1.73276e6 | − | 3.00122e6i | −0.224366 | − | 0.388613i | 0.731763 | − | 0.681559i | \(-0.238698\pi\) |
−0.956129 | + | 0.292946i | \(0.905364\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −2.45034e6 | + | 4.24412e6i | −0.314512 | + | 0.544750i | −0.979334 | − | 0.202252i | \(-0.935174\pi\) |
0.664822 | + | 0.747002i | \(0.268507\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −646896. | −0.0823091 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 584736. | 0.0737548 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −1.14173e6 | + | 1.97753e6i | −0.142766 | + | 0.247277i | −0.928537 | − | 0.371240i | \(-0.878933\pi\) |
0.785772 | + | 0.618517i | \(0.212266\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −619954. | − | 1.07379e6i | −0.0768534 | − | 0.133114i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 365040. | + | 632268.i | 0.0444804 | + | 0.0770424i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −6.56198e6 | + | 1.13657e7i | −0.792767 | + | 1.37311i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 1.03157e7 | 1.23568 | 0.617838 | − | 0.786305i | \(-0.288009\pi\) | ||||
0.617838 | + | 0.786305i | \(0.288009\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 586936. | 0.0697112 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −499362. | + | 864920.i | −0.0588094 | + | 0.101861i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −1.76419e6 | − | 3.05566e6i | −0.206020 | − | 0.356836i | 0.744438 | − | 0.667692i | \(-0.232718\pi\) |
−0.950457 | + | 0.310856i | \(0.899384\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −785932. | − | 1.36127e6i | −0.0902504 | − | 0.156318i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −1.46130e6 | + | 2.53105e6i | −0.166407 | + | 0.288226i | −0.937154 | − | 0.348916i | \(-0.886550\pi\) |
0.770747 | + | 0.637141i | \(0.219883\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −1.17567e7 | −1.32770 | −0.663849 | − | 0.747866i | \(-0.731078\pi\) | ||||
−0.663849 | + | 0.747866i | \(0.731078\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −9.83055e6 | −1.10099 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 1.71528e7 | − | 2.97094e7i | 1.90522 | − | 3.29994i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 2.35746e6 | + | 4.08323e6i | 0.259700 | + | 0.449814i | 0.966161 | − | 0.257938i | \(-0.0830430\pi\) |
−0.706462 | + | 0.707751i | \(0.749710\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 7.38910e6 | + | 1.27983e7i | 0.800734 | + | 1.38691i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −106921. | + | 185193.i | −0.0114924 | + | 0.0199055i | −0.871714 | − | 0.490014i | \(-0.836992\pi\) |
0.860222 | + | 0.509920i | \(0.170325\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 2.30515e6 | 0.245760 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −336666. | −0.0356030 | −0.0178015 | − | 0.999842i | \(-0.505667\pi\) | ||||
−0.0178015 | + | 0.999842i | \(0.505667\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −7.13276e6 | + | 1.23543e7i | −0.748223 | + | 1.29596i | 0.200450 | + | 0.979704i | \(0.435760\pi\) |
−0.948674 | + | 0.316257i | \(0.897574\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −46272.0 | − | 80145.5i | −0.00481492 | − | 0.00833969i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −4.15014e6 | − | 7.18825e6i | −0.424974 | − | 0.736077i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 67680.0 | − | 117225.i | 0.00687530 | − | 0.0119084i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −1.35407e7 | −1.36463 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −6.59637e6 | −0.659525 | −0.329763 | − | 0.944064i | \(-0.606969\pi\) | ||||
−0.329763 | + | 0.944064i | \(0.606969\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 1.06276e6 | − | 1.84076e6i | 0.105421 | − | 0.182595i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −1.19908e7 | − | 2.07686e7i | −1.18008 | − | 2.04397i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −4.49702e6 | − | 7.78907e6i | −0.435685 | − | 0.754629i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 5.12449e6 | − | 8.87588e6i | 0.492613 | − | 0.853230i | −0.507351 | − | 0.861739i | \(-0.669375\pi\) |
0.999964 | + | 0.00850936i | \(0.00270865\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −4.16543e6 | −0.397312 | −0.198656 | − | 0.980069i | \(-0.563658\pi\) | ||||
−0.198656 | + | 0.980069i | \(0.563658\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −1.75872e6 | −0.166455 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 1.67525e6 | − | 2.90163e6i | 0.157333 | − | 0.272509i | −0.776573 | − | 0.630027i | \(-0.783044\pi\) |
0.933906 | + | 0.357518i | \(0.116377\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 447120. | + | 774435.i | 0.0416689 | + | 0.0721727i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 4.52704e6 | + | 7.84106e6i | 0.415462 | + | 0.719601i | 0.995477 | − | 0.0950046i | \(-0.0302866\pi\) |
−0.580015 | + | 0.814606i | \(0.696953\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 586080. | − | 1.01512e6i | 0.0533769 | − | 0.0924516i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 3.21168e6 | 0.290281 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 6.45382e6 | 0.578899 | 0.289450 | − | 0.957193i | \(-0.406528\pi\) | ||||
0.289450 | + | 0.957193i | \(0.406528\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −7.15836e6 | + | 1.23987e7i | −0.637250 | + | 1.10375i | 0.348783 | + | 0.937203i | \(0.386595\pi\) |
−0.986034 | + | 0.166547i | \(0.946738\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 717288. | + | 1.24238e6i | 0.0633738 | + | 0.109767i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 209952. | + | 363648.i | 0.0182728 | + | 0.0316494i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 707720. | − | 1.22581e6i | 0.0611359 | − | 0.105890i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −5.46624e6 | −0.468686 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 2.27250e7 | 1.93404 | 0.967020 | − | 0.254701i | \(-0.0819771\pi\) | ||||
0.967020 | + | 0.254701i | \(0.0819771\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −2.93586e6 | + | 5.08506e6i | −0.248014 | + | 0.429573i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 4.26625e6 | + | 7.38935e6i | 0.357746 | + | 0.619633i | 0.987584 | − | 0.157093i | \(-0.0502122\pi\) |
−0.629838 | + | 0.776726i | \(0.716879\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −1.04437e6 | − | 1.80889e6i | −0.0862949 | − | 0.149467i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 1.12460e7 | − | 1.94787e7i | 0.922461 | − | 1.59775i | 0.126867 | − | 0.991920i | \(-0.459508\pi\) |
0.795594 | − | 0.605830i | \(-0.207159\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.33459e6 | 0.108673 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 1.07943e6 | 0.0872576 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −290004. | + | 502302.i | −0.0232732 | + | 0.0403103i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 6.34471e6 | + | 1.09894e7i | 0.505495 | + | 0.875543i | 0.999980 | + | 0.00635656i | \(0.00202337\pi\) |
−0.494485 | + | 0.869186i | \(0.664643\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −2.07261e7 | − | 3.58987e7i | −1.62763 | − | 2.81914i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −7.52776e6 | + | 1.30385e7i | −0.586927 | + | 1.01659i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −354228. | −0.0274214 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −5.13939e6 | −0.395018 | −0.197509 | − | 0.980301i | \(-0.563285\pi\) | ||||
−0.197509 | + | 0.980301i | \(0.563285\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −507506. | + | 879026.i | −0.0387305 | + | 0.0670832i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 2.48026e6 | + | 4.29593e6i | 0.187942 | + | 0.325525i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 5.80325e6 | + | 1.00515e7i | 0.433566 | + | 0.750959i | 0.997177 | − | 0.0750815i | \(-0.0239217\pi\) |
−0.563611 | + | 0.826040i | \(0.690588\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 746636. | − | 1.29321e6i | 0.0553905 | − | 0.0959391i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −599424. | −0.0441581 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 3.95366e7 | 2.89224 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −655464. | + | 1.13530e6i | −0.0476158 | + | 0.0824730i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −7.54988e6 | − | 1.30768e7i | −0.544650 | − | 0.943362i | −0.998629 | − | 0.0523493i | \(-0.983329\pi\) |
0.453979 | − | 0.891013i | \(-0.350004\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 1.38709e6 | + | 2.40252e6i | 0.0986870 | + | 0.170931i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 1.33210e7 | − | 2.30727e7i | 0.941223 | − | 1.63025i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −2.32536e7 | −1.63175 | −0.815874 | − | 0.578229i | \(-0.803744\pi\) | ||||
−0.815874 | + | 0.578229i | \(0.803744\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −1.29511e7 | −0.902585 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 5.74332e6 | − | 9.94772e6i | 0.397530 | − | 0.688542i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −1.18907e7 | − | 2.05953e7i | −0.817423 | − | 1.41582i | −0.907575 | − | 0.419890i | \(-0.862069\pi\) |
0.0901518 | − | 0.995928i | \(-0.471265\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 1.48075e7 | + | 2.56474e7i | 1.00418 | + | 1.73930i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 1.25696e6 | − | 2.17712e6i | 0.0846663 | − | 0.146646i | −0.820583 | − | 0.571528i | \(-0.806351\pi\) |
0.905249 | + | 0.424882i | \(0.139684\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 107536. | 0.00719463 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −2.22646e7 | −1.47959 | −0.739797 | − | 0.672830i | \(-0.765078\pi\) | ||||
−0.739797 | + | 0.672830i | \(0.765078\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 1.56871e7 | − | 2.71708e7i | 1.03550 | − | 1.79354i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −3.01785e6 | − | 5.22707e6i | −0.197878 | − | 0.342734i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −1.15054e7 | − | 1.99279e7i | −0.744392 | − | 1.28932i | −0.950479 | − | 0.310790i | \(-0.899406\pi\) |
0.206087 | − | 0.978534i | \(-0.433927\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 1.88811e6 | − | 3.27030e6i | 0.121350 | − | 0.210184i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −1.66541e7 | −1.06329 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 1.59335e7 | 1.01058 | 0.505290 | − | 0.862950i | \(-0.331386\pi\) | ||||
0.505290 | + | 0.862950i | \(0.331386\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −69120.0 | + | 119719.i | −0.00435511 | + | 0.00754327i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −8.43143e6 | − | 1.46037e7i | −0.527764 | − | 0.914114i | −0.999476 | − | 0.0323613i | \(-0.989697\pi\) |
0.471712 | − | 0.881752i | \(-0.343636\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −1.43859e7 | − | 2.49171e7i | −0.888757 | − | 1.53937i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −355212. | + | 615245.i | −0.0218021 | + | 0.0377624i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −2.75402e7 | −1.67939 | −0.839694 | − | 0.543060i | \(-0.817265\pi\) | ||||
−0.839694 | + | 0.543060i | \(0.817265\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −692388. | −0.0419482 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −1.13410e7 | + | 1.96432e7i | −0.682658 | + | 1.18240i | 0.291508 | + | 0.956568i | \(0.405843\pi\) |
−0.974167 | + | 0.225831i | \(0.927490\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1.90161e7 | + | 3.29369e7i | 1.13728 | + | 1.96983i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 564282. | + | 977365.i | 0.0333160 | + | 0.0577050i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.35475e7 | + | 2.34650e7i | −0.794753 | + | 1.37655i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −4.21654e6 | −0.245783 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 5.23507e6 | 0.303213 |