Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [588,6,Mod(361,588)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(588, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 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("588.361");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 588.i (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: | \(94.3056860500\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 2x^{7} + 703x^{6} + 2770x^{5} + 427565x^{4} + 718170x^{3} + 42175732x^{2} - 40929504x + 3559792896 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{19}]\) |
Coefficient ring index: | \( 2^{6}\cdot 3^{4}\cdot 7^{2} \) |
Twist minimal: | no (minimal twist has level 84) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 373.2 | ||
Root | \(13.1471 + 22.7714i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 588.373 |
Dual form | 588.6.i.o.361.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(493\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 | ||||||||
\(3\) | −4.50000 | − | 7.79423i | −0.288675 | − | 0.500000i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −15.9808 | + | 27.6796i | −0.285873 | + | 0.495147i | −0.972821 | − | 0.231560i | \(-0.925617\pi\) |
0.686947 | + | 0.726707i | \(0.258950\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −40.5000 | + | 70.1481i | −0.166667 | + | 0.288675i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −130.442 | − | 225.932i | −0.325039 | − | 0.562984i | 0.656481 | − | 0.754342i | \(-0.272044\pi\) |
−0.981520 | + | 0.191359i | \(0.938711\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −769.735 | −1.26323 | −0.631616 | − | 0.775281i | \(-0.717608\pi\) | ||||
−0.631616 | + | 0.775281i | \(0.717608\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 287.654 | 0.330098 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −776.659 | − | 1345.21i | −0.651791 | − | 1.12893i | −0.982688 | − | 0.185268i | \(-0.940685\pi\) |
0.330898 | − | 0.943667i | \(-0.392649\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 375.024 | − | 649.561i | 0.238328 | − | 0.412797i | −0.721906 | − | 0.691991i | \(-0.756734\pi\) |
0.960235 | + | 0.279194i | \(0.0900673\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −377.427 | + | 653.723i | −0.148769 | + | 0.257676i | −0.930773 | − | 0.365598i | \(-0.880865\pi\) |
0.782004 | + | 0.623274i | \(0.214198\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1051.73 | + | 1821.65i | 0.336553 | + | 0.582927i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 729.000 | 0.192450 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 6008.93 | 1.32679 | 0.663395 | − | 0.748269i | \(-0.269115\pi\) | ||||
0.663395 | + | 0.748269i | \(0.269115\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3210.02 | − | 5559.92i | −0.599934 | − | 1.03912i | −0.992830 | − | 0.119533i | \(-0.961860\pi\) |
0.392896 | − | 0.919583i | \(-0.371473\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −1173.98 | + | 2033.39i | −0.187661 | + | 0.325039i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2387.86 | − | 4135.90i | 0.286751 | − | 0.496668i | −0.686281 | − | 0.727336i | \(-0.740758\pi\) |
0.973032 | + | 0.230669i | \(0.0740914\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 3463.81 | + | 5999.49i | 0.364664 | + | 0.631616i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 5423.27 | 0.503850 | 0.251925 | − | 0.967747i | \(-0.418936\pi\) | ||||
0.251925 | + | 0.967747i | \(0.418936\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −11896.4 | −0.981171 | −0.490585 | − | 0.871393i | \(-0.663217\pi\) | ||||
−0.490585 | + | 0.871393i | \(0.663217\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1294.44 | − | 2242.04i | −0.0952911 | − | 0.165049i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −8714.00 | + | 15093.1i | −0.575404 | + | 0.996629i | 0.420594 | + | 0.907249i | \(0.361822\pi\) |
−0.995998 | + | 0.0893798i | \(0.971512\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −6989.93 | + | 12106.9i | −0.376311 | + | 0.651791i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −18825.3 | − | 32606.4i | −0.920561 | − | 1.59446i | −0.798549 | − | 0.601930i | \(-0.794399\pi\) |
−0.122012 | − | 0.992529i | \(-0.538935\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 8338.26 | 0.371679 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −6750.44 | −0.275198 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 11039.0 | + | 19120.2i | 0.412859 | + | 0.715092i | 0.995201 | − | 0.0978516i | \(-0.0311971\pi\) |
−0.582342 | + | 0.812944i | \(0.697864\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4086.69 | + | 7078.36i | −0.140620 | + | 0.243561i | −0.927730 | − | 0.373251i | \(-0.878243\pi\) |
0.787110 | + | 0.616812i | \(0.211576\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 12301.0 | − | 21305.9i | 0.361124 | − | 0.625485i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −6500.87 | − | 11259.8i | −0.176923 | − | 0.306440i | 0.763902 | − | 0.645332i | \(-0.223281\pi\) |
−0.940825 | + | 0.338892i | \(0.889948\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 6793.69 | 0.171784 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −12349.6 | −0.290742 | −0.145371 | − | 0.989377i | \(-0.546438\pi\) | ||||
−0.145371 | + | 0.989377i | \(0.546438\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 21800.2 | + | 37759.0i | 0.478798 | + | 0.829303i | 0.999704 | − | 0.0243110i | \(-0.00773921\pi\) |
−0.520906 | + | 0.853614i | \(0.674406\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 9465.55 | − | 16394.8i | 0.194309 | − | 0.336553i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −38374.7 | + | 66467.0i | −0.691796 | + | 1.19823i | 0.279453 | + | 0.960159i | \(0.409847\pi\) |
−0.971249 | + | 0.238066i | \(0.923487\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −3280.50 | − | 5681.99i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −21893.6 | −0.348836 | −0.174418 | − | 0.984672i | \(-0.555804\pi\) | ||||
−0.174418 | + | 0.984672i | \(0.555804\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 49646.5 | 0.745318 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −27040.2 | − | 46835.0i | −0.383011 | − | 0.663395i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −68483.5 | + | 118617.i | −0.916454 | + | 1.58735i | −0.111696 | + | 0.993742i | \(0.535628\pi\) |
−0.804758 | + | 0.593603i | \(0.797705\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −28890.2 | + | 50039.3i | −0.346372 | + | 0.599934i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 11986.4 | + | 20761.0i | 0.136263 | + | 0.236015i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 93050.1 | 1.00412 | 0.502062 | − | 0.864832i | \(-0.332575\pi\) | ||||
0.502062 | + | 0.864832i | \(0.332575\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 21131.6 | 0.216692 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 61150.8 | + | 105916.i | 0.596484 | + | 1.03314i | 0.993336 | + | 0.115258i | \(0.0367693\pi\) |
−0.396852 | + | 0.917883i | \(0.629897\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 37400.6 | − | 64779.8i | 0.347365 | − | 0.601654i | −0.638415 | − | 0.769692i | \(-0.720410\pi\) |
0.985781 | + | 0.168038i | \(0.0537432\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −35386.2 | + | 61290.7i | −0.298796 | + | 0.517530i | −0.975861 | − | 0.218394i | \(-0.929918\pi\) |
0.677065 | + | 0.735923i | \(0.263252\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 71131.0 | + | 123202.i | 0.573446 | + | 0.993238i | 0.996209 | + | 0.0869972i | \(0.0277271\pi\) |
−0.422762 | + | 0.906241i | \(0.638940\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −42981.5 | −0.331112 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 198899. | 1.46533 | 0.732667 | − | 0.680588i | \(-0.238275\pi\) | ||||
0.732667 | + | 0.680588i | \(0.238275\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −12063.2 | − | 20894.0i | −0.0850583 | − | 0.147325i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 31174.3 | − | 53995.4i | 0.210539 | − | 0.364664i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 46495.4 | − | 80532.3i | 0.288700 | − | 0.500042i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −24404.7 | − | 42270.2i | −0.145449 | − | 0.251925i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −167110. | −0.956592 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 219619. | 1.20826 | 0.604131 | − | 0.796885i | \(-0.293521\pi\) | ||||
0.604131 | + | 0.796885i | \(0.293521\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 53533.8 | + | 92723.3i | 0.283240 | + | 0.490585i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 27311.1 | − | 47304.1i | 0.139047 | − | 0.240836i | −0.788089 | − | 0.615561i | \(-0.788930\pi\) |
0.927136 | + | 0.374725i | \(0.122263\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −11650.0 | + | 20178.4i | −0.0550163 | + | 0.0952911i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −36471.4 | − | 63170.4i | −0.166017 | − | 0.287549i | 0.770999 | − | 0.636836i | \(-0.219757\pi\) |
−0.937016 | + | 0.349287i | \(0.886424\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 110668. | 0.485831 | 0.242915 | − | 0.970047i | \(-0.421896\pi\) | ||||
0.242915 | + | 0.970047i | \(0.421896\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 156852. | 0.664419 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 100406. | + | 173908.i | 0.410599 | + | 0.711179i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −96027.5 | + | 166325.i | −0.379294 | + | 0.656956i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −163513. | + | 283212.i | −0.603373 | + | 1.04507i | 0.388933 | + | 0.921266i | \(0.372844\pi\) |
−0.992306 | + | 0.123807i | \(0.960490\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −87245.1 | − | 151113.i | −0.311386 | − | 0.539336i | 0.667277 | − | 0.744810i | \(-0.267460\pi\) |
−0.978663 | + | 0.205474i | \(0.934126\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 125819. | 0.434527 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 205195. | 0.686020 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 220146. | + | 381304.i | 0.712790 | + | 1.23459i | 0.963806 | + | 0.266606i | \(0.0859022\pi\) |
−0.251016 | + | 0.967983i | \(0.580765\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −169428. | + | 293458.i | −0.531486 | + | 0.920561i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −28246.0 | + | 48923.5i | −0.0832698 | + | 0.144228i | −0.904653 | − | 0.426150i | \(-0.859870\pi\) |
0.821383 | + | 0.570377i | \(0.193203\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −37522.2 | − | 64990.3i | −0.107295 | − | 0.185840i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 688014. | 1.90900 | 0.954501 | − | 0.298209i | \(-0.0963891\pi\) | ||||
0.954501 | + | 0.298209i | \(0.0963891\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 221200. | 0.595755 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 30377.0 | + | 52614.5i | 0.0794427 | + | 0.137599i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 141279. | − | 244703.i | 0.358891 | − | 0.621618i | −0.628885 | − | 0.777499i | \(-0.716488\pi\) |
0.987776 | + | 0.155881i | \(0.0498216\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 99351.4 | − | 172082.i | 0.238364 | − | 0.412859i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −75890.9 | − | 131447.i | −0.177034 | − | 0.306632i | 0.763829 | − | 0.645419i | \(-0.223317\pi\) |
−0.940863 | + | 0.338786i | \(0.889984\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 322258. | 0.731151 | 0.365575 | − | 0.930782i | \(-0.380872\pi\) | ||||
0.365575 | + | 0.930782i | \(0.380872\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 73560.4 | 0.162374 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 76319.9 | + | 132190.i | 0.163949 | + | 0.283968i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −202618. | + | 350944.i | −0.423714 | + | 0.733895i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −269260. | + | 466373.i | −0.534059 | + | 0.925017i | 0.465150 | + | 0.885232i | \(0.346001\pi\) |
−0.999208 | + | 0.0397847i | \(0.987333\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −151720. | − | 262786.i | −0.293190 | − | 0.507820i | 0.681372 | − | 0.731937i | \(-0.261383\pi\) |
−0.974562 | + | 0.224117i | \(0.928050\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −221418. | −0.416990 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 656475. | 1.20518 | 0.602591 | − | 0.798050i | \(-0.294135\pi\) | ||||
0.602591 | + | 0.798050i | \(0.294135\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 421102. | + | 729370.i | 0.753797 | + | 1.30562i | 0.945970 | + | 0.324254i | \(0.105113\pi\) |
−0.192173 | + | 0.981361i | \(0.561553\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −58507.8 | + | 101339.i | −0.102147 | + | 0.176923i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −86668.1 | + | 150114.i | −0.144037 | + | 0.249480i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −30571.6 | − | 52951.6i | −0.0495898 | − | 0.0858920i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −195675. | −0.309864 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.01133e6 | 1.56382 | 0.781908 | − | 0.623394i | \(-0.214247\pi\) | ||||
0.781908 | + | 0.623394i | \(0.214247\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 55573.3 | + | 96255.8i | 0.0839300 | + | 0.145371i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 190114. | − | 329287.i | 0.280490 | − | 0.485824i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 196201. | − | 339831.i | 0.276434 | − | 0.478798i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 597822. | + | 1.03546e6i | 0.823363 | + | 1.42611i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −957124. | −1.28886 | −0.644431 | − | 0.764663i | \(-0.722906\pi\) | ||||
−0.644431 | + | 0.764663i | \(0.722906\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −170380. | −0.224369 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 235740. | + | 408313.i | 0.303647 | + | 0.525931i | 0.976959 | − | 0.213427i | \(-0.0684624\pi\) |
−0.673312 | + | 0.739358i | \(0.735129\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −134098. | + | 232265.i | −0.168980 | + | 0.292681i | −0.938061 | − | 0.346469i | \(-0.887381\pi\) |
0.769082 | + | 0.639150i | \(0.220714\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −773610. | + | 1.33993e6i | −0.933538 | + | 1.61694i | −0.156318 | + | 0.987707i | \(0.549962\pi\) |
−0.777220 | + | 0.629229i | \(0.783371\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −278513. | − | 482399.i | −0.328985 | − | 0.569819i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 690745. | 0.798817 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −937542. | −1.06169 | −0.530843 | − | 0.847470i | \(-0.678125\pi\) | ||||
−0.530843 | + | 0.847470i | \(0.678125\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −642430. | − | 1.11272e6i | −0.712497 | − | 1.23408i | −0.963917 | − | 0.266203i | \(-0.914231\pi\) |
0.251420 | − | 0.967878i | \(-0.419103\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −29524.5 | + | 51137.9i | −0.0320750 | + | 0.0555556i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −288670. | + | 499990.i | −0.301064 | + | 0.521458i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 98521.1 | + | 170644.i | 0.100700 | + | 0.174418i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −709769. | −0.711103 | −0.355552 | − | 0.934657i | \(-0.615707\pi\) | ||||
−0.355552 | + | 0.934657i | \(0.615707\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 196929. | 0.193423 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −223409. | − | 386956.i | −0.215155 | − | 0.372659i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −910080. | + | 1.57631e6i | −0.859502 | + | 1.48870i | 0.0129024 | + | 0.999917i | \(0.495893\pi\) |
−0.872405 | + | 0.488785i | \(0.837440\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −243362. | + | 421515.i | −0.221132 | + | 0.383011i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −179594. | − | 311065.i | −0.160104 | − | 0.277308i | 0.774802 | − | 0.632204i | \(-0.217850\pi\) |
−0.934906 | + | 0.354896i | \(0.884516\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.20337e6 | 1.05265 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 1.23270e6 | 1.05823 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 578834. | + | 1.00257e6i | 0.487723 | + | 0.844761i | 0.999900 | − | 0.0141188i | \(-0.00449429\pi\) |
−0.512177 | + | 0.858880i | \(0.671161\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −390088. | + | 675652.i | −0.322655 | + | 0.558856i | −0.981035 | − | 0.193830i | \(-0.937909\pi\) |
0.658380 | + | 0.752686i | \(0.271242\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 274379. | − | 475238.i | 0.218786 | − | 0.378948i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 163165. | + | 282611.i | 0.127770 | + | 0.221304i | 0.922812 | − | 0.385250i | \(-0.125885\pi\) |
−0.795042 | + | 0.606554i | \(0.792551\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 520023. | 0.399956 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 364094. | 0.275073 | 0.137536 | − | 0.990497i | \(-0.456082\pi\) | ||||
0.137536 | + | 0.990497i | \(0.456082\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −32009.6 | − | 55442.3i | −0.0237582 | − | 0.0411505i | 0.853902 | − | 0.520434i | \(-0.174230\pi\) |
−0.877660 | + | 0.479284i | \(0.840897\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 107877. | − | 186849.i | 0.0786717 | − | 0.136263i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −496470. | + | 859911.i | −0.349662 | + | 0.605632i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −418725. | − | 725254.i | −0.289866 | − | 0.502062i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −398020. | −0.270855 | −0.135427 | − | 0.990787i | \(-0.543241\pi\) | ||||
−0.135427 | + | 0.990787i | \(0.543241\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −705651. | −0.472101 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −95092.1 | − | 164704.i | −0.0625537 | − | 0.108346i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 290519. | − | 503194.i | 0.187930 | − | 0.325505i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 550357. | − | 953247.i | 0.344380 | − | 0.596484i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −130617. | − | 226236.i | −0.0803990 | − | 0.139255i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 638841. | 0.386854 | 0.193427 | − | 0.981115i | \(-0.438040\pi\) | ||||
0.193427 | + | 0.981115i | \(0.438040\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −673212. | −0.401103 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 1.24094e6 | + | 2.14937e6i | 0.727529 | + | 1.26012i | 0.957924 | + | 0.287020i | \(0.0926648\pi\) |
−0.230395 | + | 0.973097i | \(0.574002\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 738267. | − | 1.27872e6i | 0.425944 | − | 0.737757i | −0.570564 | − | 0.821253i | \(-0.693275\pi\) |
0.996508 | + | 0.0834961i | \(0.0266086\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 1.11563e6 | − | 1.93233e6i | 0.623551 | − | 1.08002i | −0.365269 | − | 0.930902i | \(-0.619023\pi\) |
0.988819 | − | 0.149119i | \(-0.0476438\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −783816. | − | 1.35761e6i | −0.431258 | − | 0.746961i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 636952. | 0.345020 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −1.16506e6 | −0.621360 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −809552. | − | 1.40219e6i | −0.425145 | − | 0.736372i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 640179. | − | 1.10882e6i | 0.331079 | − | 0.573446i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 1.20561e6 | − | 2.08818e6i | 0.604836 | − | 1.04761i | −0.387242 | − | 0.921978i | \(-0.626572\pi\) |
0.992077 | − | 0.125628i | \(-0.0400946\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 193417. | + | 335008.i | 0.0955837 | + | 0.165556i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 415556. | 0.202310 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.79586e6 | −0.861388 | −0.430694 | − | 0.902498i | \(-0.641731\pi\) | ||||
−0.430694 | + | 0.902498i | \(0.641731\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −895045. | − | 1.55026e6i | −0.423005 | − | 0.732667i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −837442. | + | 1.45049e6i | −0.390004 | + | 0.675506i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −108569. | + | 188046.i | −0.0491085 | + | 0.0850583i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −1.10366e6 | − | 1.91159e6i | −0.492051 | − | 0.852258i | 0.507907 | − | 0.861412i | \(-0.330419\pi\) |
−0.999958 | + | 0.00915399i | \(0.997086\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −148188. | −0.0651252 | −0.0325626 | − | 0.999470i | \(-0.510367\pi\) | ||||
−0.0325626 | + | 0.999470i | \(0.510367\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −561137. | −0.243109 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 985200. | + | 1.70642e6i | 0.420811 | + | 0.728867i | 0.996019 | − | 0.0891407i | \(-0.0284121\pi\) |
−0.575208 | + | 0.818007i | \(0.695079\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 197357. | − | 341832.i | 0.0831154 | − | 0.143960i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −1.21697e6 | + | 2.10786e6i | −0.498362 | + | 0.863188i | −0.999998 | − | 0.00189067i | \(-0.999398\pi\) |
0.501636 | + | 0.865079i | \(0.332732\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 956763. | + | 1.65716e6i | 0.386399 | + | 0.669263i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −836917. | −0.333362 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −1.39354e6 | −0.547502 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −2.15174e6 | − | 3.72692e6i | −0.833920 | − | 1.44439i | −0.894907 | − | 0.446253i | \(-0.852758\pi\) |
0.0609873 | − | 0.998139i | \(-0.480575\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −219642. | + | 380432.i | −0.0839750 | + | 0.145449i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 601526. | − | 1.04187e6i | 0.223863 | − | 0.387742i | −0.732115 | − | 0.681181i | \(-0.761467\pi\) |
0.955978 | + | 0.293439i | \(0.0947999\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 751994. | + | 1.30249e6i | 0.276144 | + | 0.478296i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −4.62529e6 | −1.67604 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 5.11488e6 | 1.82910 | 0.914550 | − | 0.404473i | \(-0.132545\pi\) | ||||
0.914550 | + | 0.404473i | \(0.132545\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −988286. | − | 1.71176e6i | −0.348795 | − | 0.604131i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 2.50528e6 | − | 4.33926e6i | 0.872687 | − | 1.51154i | 0.0134808 | − | 0.999909i | \(-0.495709\pi\) |
0.859206 | − | 0.511629i | \(-0.170958\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 481804. | − | 834510.i | 0.163528 | − | 0.283240i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 2.04163e6 | + | 3.53620e6i | 0.684073 | + | 1.18485i | 0.973727 | + | 0.227718i | \(0.0731265\pi\) |
−0.289654 | + | 0.957131i | \(0.593540\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.17253e6 | 0.387866 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −491599. | −0.160557 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −1.22652e6 | − | 2.12439e6i | −0.395532 | − | 0.685081i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −536498. | + | 929242.i | −0.170841 | + | 0.295905i | −0.938714 | − | 0.344697i | \(-0.887982\pi\) |
0.767873 | + | 0.640602i | \(0.221315\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 949741. | − | 1.64500e6i | 0.294947 | − | 0.510863i | −0.680026 | − | 0.733188i | \(-0.738031\pi\) |
0.974973 | + | 0.222325i | \(0.0713647\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 2.47087e6 | + | 4.27967e6i | 0.757856 | + | 1.31264i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 209700. | 0.0635274 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −1.24591e6 | −0.372821 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 967887. | + | 1.67643e6i | 0.286099 | + | 0.495538i | 0.972875 | − | 0.231331i | \(-0.0743081\pi\) |
−0.686776 | + | 0.726869i | \(0.740975\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −328243. | + | 568533.i | −0.0958497 | + | 0.166017i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 349877. | − | 606004.i | 0.0997229 | − | 0.172725i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −498006. | − | 862572.i | −0.140247 | − | 0.242915i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −3.93448e6 | −1.09484 | −0.547422 | − | 0.836856i | \(-0.684391\pi\) | ||||
−0.547422 | + | 0.836856i | \(0.684391\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −5.16927e6 | −1.42142 | −0.710712 | − | 0.703483i | \(-0.751627\pi\) | ||||
−0.710712 | + | 0.703483i | \(0.751627\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −705834. | − | 1.22254e6i | −0.191801 | − | 0.332210i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 1.63367e6 | − | 2.82960e6i | 0.438724 | − | 0.759893i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 903651. | − | 1.56517e6i | 0.237060 | − | 0.410599i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 1.06475e6 | + | 1.84421e6i | 0.276093 | + | 0.478208i | 0.970410 | − | 0.241462i | \(-0.0776268\pi\) |
−0.694317 | + | 0.719669i | \(0.744293\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −3.20879e6 | −0.822473 | −0.411237 | − | 0.911529i | \(-0.634903\pi\) | ||||
−0.411237 | + | 0.911529i | \(0.634903\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 1.72849e6 | 0.437971 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 283089. | + | 490324.i | 0.0709119 | + | 0.122823i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 3.49538e6 | − | 6.05418e6i | 0.865632 | − | 1.49932i | −0.000785585 | − | 1.00000i | \(-0.500250\pi\) |
0.866418 | − | 0.499320i | \(-0.166417\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −3.73004e6 | + | 6.46062e6i | −0.903034 | + | 1.56410i | −0.0795000 | + | 0.996835i | \(0.525332\pi\) |
−0.823534 | + | 0.567266i | \(0.808001\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −2.18884e6 | − | 3.79118e6i | −0.523979 | − | 0.907559i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 2.94323e6 | 0.696715 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −5.61620e6 | −1.31470 | −0.657350 | − | 0.753586i | \(-0.728323\pi\) | ||||
−0.657350 | + | 0.753586i | \(0.728323\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −707421. | − | 1.22529e6i | −0.163771 | − | 0.283659i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −785206. | + | 1.36002e6i | −0.179779 | + | 0.311386i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 4.40636e6 | − | 7.63203e6i | 0.986936 | − | 1.70942i | 0.353942 | − | 0.935267i | \(-0.384841\pi\) |
0.632994 | − | 0.774156i | \(-0.281826\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −566184. | − | 980660.i | −0.125437 | − | 0.217264i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −3.24339e6 | −0.710798 | −0.355399 | − | 0.934715i | \(-0.615655\pi\) | ||||
−0.355399 | + | 0.934715i | \(0.615655\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −5.70039e6 | −1.23581 | −0.617906 | − | 0.786252i | \(-0.712019\pi\) | ||||
−0.617906 | + | 0.786252i | \(0.712019\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −923376. | − | 1.59933e6i | −0.198037 | − | 0.343010i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 1.09007e6 | − | 1.88805e6i | 0.231292 | − | 0.400610i | −0.726896 | − | 0.686747i | \(-0.759038\pi\) |
0.958189 | + | 0.286137i | \(0.0923712\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 1.98131e6 | − | 3.43174e6i | 0.411530 | − | 0.712790i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 1.55179e6 | + | 2.68778e6i | 0.318918 | + | 0.552383i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 1.57770e6 | 0.320840 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 3.04970e6 | 0.613707 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 1.96808e6 | + | 3.40881e6i | 0.391926 | + | 0.678835i | 0.992704 | − | 0.120581i | \(-0.0384757\pi\) |
−0.600778 | + | 0.799416i | \(0.705142\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.83802e6 | + | 3.18355e6i | −0.362233 | + | 0.627406i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −1.48701e6 | + | 2.57558e6i | −0.287052 | + | 0.497189i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −3.50088e6 | − | 6.06370e6i | −0.668890 | − | 1.15855i | −0.978215 | − | 0.207595i | \(-0.933436\pi\) |
0.309325 | − | 0.950956i | \(-0.399897\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 508428. | 0.0961517 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −9.37114e6 | −1.75424 | −0.877119 | − | 0.480273i | \(-0.840537\pi\) | ||||
−0.877119 | + | 0.480273i | \(0.840537\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −4.66689e6 | − | 8.08329e6i | −0.864789 | − | 1.49786i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −337699. | + | 584912.i | −0.0619466 | + | 0.107295i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 4.87966e6 | − | 8.45182e6i | 0.877280 | − | 1.51949i | 0.0229668 | − | 0.999736i | \(-0.492689\pi\) |
0.854314 | − | 0.519758i | \(-0.173978\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −3.09606e6 | − | 5.36254e6i | −0.551081 | − | 0.954501i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 1.69667e6 | 0.299004 | 0.149502 | − | 0.988761i | \(-0.452233\pi\) | ||||
0.149502 | + | 0.988761i | \(0.452233\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −3.90895e6 | −0.682075 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −995398. | − | 1.72408e6i | −0.171980 | − | 0.297877i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −1.86783e6 | + | 3.23518e6i | −0.319553 | + | 0.553482i | −0.980395 | − | 0.197043i | \(-0.936866\pi\) |
0.660842 | + | 0.750525i | \(0.270199\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 273393. | − | 473530.i | 0.0458663 | − | 0.0794427i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 1.19538e6 | + | 2.07047e6i | 0.198605 | + | 0.343993i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 4.54668e6 | 0.748114 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −2.54302e6 | −0.414412 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 3.66359e6 | + | 6.34552e6i | 0.591306 | + | 1.02417i | 0.994057 | + | 0.108863i | \(0.0347209\pi\) |
−0.402750 | + | 0.915310i | \(0.631946\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −4795.71 | + | 8306.42i | −0.000766653 | + | 0.00132788i | −0.866408 | − | 0.499336i | \(-0.833577\pi\) |
0.865642 | + | 0.500664i | \(0.166911\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −4.98618e6 | + | 8.63632e6i | −0.782063 | + | 1.35457i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 2.93327e6 | + | 5.08057e6i | 0.455735 | + | 0.789357i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −1.78832e6 | −0.275239 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −4.17448e6 | −0.636479 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.13100e6 | − | 1.95895e6i | −0.170836 | − | 0.295896i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −683018. | + | 1.18302e6i | −0.102211 | + | 0.177034i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 1.87846e6 | − | 3.25359e6i | 0.275936 | − | 0.477935i | −0.694435 | − | 0.719556i | \(-0.744346\pi\) |
0.970371 | + | 0.241620i | \(0.0776788\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −1.45016e6 | − | 2.51175e6i | −0.211065 | − | 0.365575i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −4.54692e6 | −0.655731 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 1.03391e7 | 1.47746 | 0.738729 | − | 0.674002i | \(-0.235426\pi\) | ||||
0.738729 | + | 0.674002i | \(0.235426\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −331022. | − | 573347.i | −0.0468734 | − | 0.0811870i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 2.25350e6 | − | 3.90317e6i | 0.316212 | − | 0.547694i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 686879. | − | 1.18971e6i | 0.0946560 | − | 0.163949i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 5.02378e6 | + | 8.70144e6i | 0.686108 | + | 1.18837i | 0.973087 | + | 0.230437i | \(0.0740156\pi\) |
−0.286979 | + | 0.957937i | \(0.592651\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 9.15708e6 | 1.23945 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 3.64712e6 | 0.489263 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −4.24690e6 | − | 7.35585e6i | −0.564678 | − | 0.978052i | −0.997080 | − | 0.0763704i | \(-0.975667\pi\) |
0.432401 | − | 0.901681i | \(-0.357666\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −3.17856e6 | + | 5.50543e6i | −0.418899 | + | 0.725555i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −1.90765e6 | + | 3.30415e6i | −0.247012 | + | 0.427838i | −0.962695 | − | 0.270587i | \(-0.912782\pi\) |
0.715683 | + | 0.698425i | \(0.246115\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −6.10664e6 | − | 1.05770e7i | −0.783812 | − | 1.35760i | −0.929706 | − | 0.368302i | \(-0.879939\pi\) |
0.145894 | − | 0.989300i | \(-0.453394\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 4.84669e6 | 0.616678 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −1.58780e6 | −0.200275 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −1.14735e6 | − | 1.98727e6i | −0.143469 | − | 0.248495i | 0.785332 | − | 0.619075i | \(-0.212492\pi\) |
−0.928801 | + | 0.370580i | \(0.879159\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −1.36548e6 | + | 2.36508e6i | −0.169273 | + | 0.293190i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −4.91122e6 | + | 8.50648e6i | −0.598436 | + | 1.03652i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 996380. | + | 1.72578e6i | 0.120375 | + | 0.208495i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −7.53391e6 | −0.902454 | −0.451227 | − | 0.892409i | \(-0.649014\pi\) | ||||
−0.451227 | + | 0.892409i | \(0.649014\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −4.81534e6 | −0.571925 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −2.95414e6 | − | 5.11671e6i | −0.347906 | − | 0.602591i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 3.61760e6 | − | 6.26588e6i | 0.422459 | − | 0.731720i | −0.573721 | − | 0.819051i | \(-0.694500\pi\) |
0.996179 | + | 0.0873310i | \(0.0278338\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 3.78992e6 | − | 6.56433e6i | 0.435205 | − | 0.753797i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −1.66928e6 | − | 2.89128e6i | −0.190091 | − | 0.329247i | 0.755189 | − | 0.655507i | \(-0.227545\pi\) |
−0.945280 | + | 0.326259i | \(0.894212\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −1.48297e7 | −1.67474 | −0.837370 | − | 0.546636i | \(-0.815908\pi\) | ||||
−0.837370 | + | 0.546636i | \(0.815908\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 1.05314e6 | 0.117949 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 1.48607e6 | + | 2.57394e6i | 0.165063 | + | 0.285897i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −3.18737e6 | + | 5.52068e6i | −0.351124 | + | 0.608164i | −0.986447 | − | 0.164083i | \(-0.947534\pi\) |
0.635323 | + | 0.772247i | \(0.280867\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 6.70747e6 | − | 1.16177e7i | 0.726869 | − | 1.25897i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 7.74344e6 | + | 1.34120e7i | 0.832306 | + | 1.44160i | 0.896205 | + | 0.443639i | \(0.146313\pi\) |
−0.0638996 | + | 0.997956i | \(0.520354\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 1.56003e6 | 0.166320 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −4.55324e6 | −0.481513 | −0.240756 | − | 0.970586i | \(-0.577396\pi\) | ||||
−0.240756 | + | 0.970586i | \(0.577396\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −5.82108e6 | − | 1.00824e7i | −0.610628 | − | 1.05764i | −0.991135 | − | 0.132861i | \(-0.957584\pi\) |
0.380507 | − | 0.924778i | \(-0.375750\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −275144. | + | 476564.i | −0.0286307 | + | 0.0495898i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −616103. | + | 1.06712e6i | −0.0630890 | + | 0.109273i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 880539. | + | 1.52514e6i | 0.0894499 | + | 0.154932i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −7.41822e6 | −0.747607 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 1.07436e7 | 1.07417 | 0.537087 | − | 0.843527i | \(-0.319525\pi\) | ||||
0.537087 | + | 0.843527i | \(0.319525\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −4.55097e6 | − | 7.88252e6i | −0.451435 | − | 0.781908i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −3.50969e6 | + | 6.07896e6i | −0.345409 | + | 0.598267i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 500160. | − | 866302.i | 0.0484570 | − | 0.0839300i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −6.15689e6 | − | 1.06641e7i | −0.591857 | − | 1.02513i | −0.993982 | − | 0.109541i | \(-0.965062\pi\) |
0.402126 | − | 0.915585i | \(-0.368272\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 1.67944e7 | 1.60191 | 0.800955 | − | 0.598724i | \(-0.204325\pi\) | ||||
0.800955 | + | 0.598724i | \(0.204325\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −3.42205e6 | −0.323882 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 9.95539e6 | + | 1.72432e7i | 0.934970 | + | 1.61942i | 0.774687 | + | 0.632345i | \(0.217907\pi\) |
0.160283 | + | 0.987071i | \(0.448759\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 2.87990e6 | − | 4.98814e6i | 0.268390 | − | 0.464865i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −1.05495e7 | + | 1.82723e7i | −0.968163 | + | 1.67691i | −0.267299 | + | 0.963614i | \(0.586131\pi\) |
−0.700864 | + | 0.713295i | \(0.747202\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 872905. | + | 1.51192e6i | 0.0794994 | + | 0.137697i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −3.53163e6 | −0.319199 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 1.75070e7 | 1.57035 | 0.785177 | − | 0.619271i | \(-0.212572\pi\) | ||||
0.785177 | + | 0.619271i | \(0.212572\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 9.00844e6 | + | 1.56031e7i | 0.801947 | + | 1.38901i | 0.918333 | + | 0.395810i | \(0.129536\pi\) |
−0.116385 | + | 0.993204i | \(0.537131\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 5.38040e6 | − | 9.31912e6i | 0.475369 | − | 0.823363i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −2.26793e6 | + | 3.92818e6i | −0.197386 | + | 0.341882i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 4.30706e6 | + | 7.46004e6i | 0.372062 | + | 0.644431i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 2.13230e6 | 0.182828 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 1.48593e7 | 1.26462 | 0.632312 | − | 0.774714i | \(-0.282106\pi\) | ||||
0.632312 | + | 0.774714i | \(0.282106\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 766710. | + | 1.32798e6i | 0.0647697 | + | 0.112184i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 3.59160e6 | − | 6.22084e6i | 0.301173 | − | 0.521648i | −0.675229 | − | 0.737609i | \(-0.735955\pi\) |
0.976402 | + | 0.215961i | \(0.0692884\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 2.12166e6 | − | 3.67482e6i | 0.175310 | − | 0.303647i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −825461. | − | 1.42974e6i | −0.0677087 | − | 0.117275i | 0.830184 | − | 0.557490i | \(-0.188236\pi\) |
−0.897892 | + | 0.440215i | \(0.854902\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 2.33137e6 | 0.189839 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 2.41377e6 | 0.195121 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 1.44905e7 | + | 2.50983e7i | 1.16288 | + | 2.01417i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 388722. | − | 673286.i | 0.0309702 | − | 0.0536419i | −0.850125 | − | 0.526581i | \(-0.823474\pi\) |
0.881095 | + | 0.472939i | \(0.156807\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −1.76856e6 | + | 3.06324e6i | −0.138886 | + | 0.240558i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −4.21203e6 | − | 7.29545e6i | −0.328405 | − | 0.568814i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 1.39250e7 | 1.07796 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 1.65671e6 | 0.127336 | 0.0636681 | − | 0.997971i | \(-0.479720\pi\) | ||||
0.0636681 | + | 0.997971i | \(0.479720\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −1.79101e6 | − | 3.10213e6i | −0.136682 | − | 0.236740i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −2.50662e6 | + | 4.34159e6i | −0.189940 | + | 0.328985i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −2.49950e6 | + | 4.32927e6i | −0.186740 | + | 0.323444i | −0.944162 | − | 0.329483i | \(-0.893126\pi\) |
0.757421 | + | 0.652927i | \(0.226459\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −3.10835e6 | − | 5.38383e6i | −0.230599 | − | 0.399408i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 4.84619e6 | 0.357007 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −6.41825e6 | −0.469517 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 4.21894e6 | + | 7.30742e6i | 0.306482 | + | 0.530843i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −9.06918e6 | + | 1.57083e7i | −0.654253 | + | 1.13320i | 0.327828 | + | 0.944738i | \(0.393683\pi\) |
−0.982081 | + | 0.188462i | \(0.939650\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −5.78187e6 | + | 1.00145e7i | −0.411360 | + | 0.712497i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 6.31976e6 | + | 1.09461e7i | 0.446535 | + | 0.773422i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −1.17918e7 | −0.827454 | −0.413727 | − | 0.910401i | \(-0.635773\pi\) | ||||
−0.413727 | + | 0.910401i | \(0.635773\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 531441. | 0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 9.23945e6 | + | 1.60032e7i | 0.639518 | + | 1.10768i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −2.48235e6 | + | 4.29955e6i | −0.170648 | + | 0.295572i | −0.938647 | − | 0.344880i | \(-0.887920\pi\) |
0.767998 | + | 0.640452i | \(0.221253\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −1.69597e6 | + | 2.93751e6i | −0.115014 | + | 0.199210i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −9.31461e6 | − | 1.61334e7i | −0.627413 | − | 1.08671i | −0.988069 | − | 0.154013i | \(-0.950780\pi\) |
0.360656 | − | 0.932699i | \(-0.382553\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 5.19605e6 | 0.347639 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 1.77727e7 | 1.18109 | 0.590544 | − | 0.807006i | \(-0.298913\pi\) | ||||
0.590544 | + | 0.807006i | \(0.298913\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −5.22613e6 | − | 9.05192e6i | −0.344976 | − | 0.597516i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 886690. | − | 1.53579e6i | 0.0581394 | − | 0.100700i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −2.33030e6 | + | 4.03619e6i | −0.150769 | + | 0.261139i | −0.931510 | − | 0.363715i | \(-0.881508\pi\) |
0.780742 | + | 0.624854i | \(0.214842\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 3.19396e6 | + | 5.53210e6i | 0.205278 | + | 0.355552i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 5.57699e6 | 0.356067 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −2.36520e6 | −0.150013 | −0.0750064 | − | 0.997183i | \(-0.523898\pi\) | ||||
−0.0750064 | + | 0.997183i | \(0.523898\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −886181. | − | 1.53491e6i | −0.0558365 | − | 0.0967116i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −8.84728e6 | + | 1.53239e7i | −0.553794 | + | 0.959199i | 0.444202 | + | 0.895926i | \(0.353487\pi\) |
−0.997996 | + | 0.0632726i | \(0.979846\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −2.01068e6 | + | 3.48261e6i | −0.124220 | + | 0.215155i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −8.49714e6 | − | 1.47175e7i | −0.521536 | − | 0.903327i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 7.90324e6 | 0.481936 | 0.240968 | − | 0.970533i | \(-0.422535\pi\) | ||||
0.240968 | + | 0.970533i | \(0.422535\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 1.63814e7 | 0.992468 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 1.11230e7 | + | 1.92656e7i | 0.669534 | + | 1.15967i | 0.978035 | + | 0.208442i | \(0.0668393\pi\) |
−0.308501 | + | 0.951224i | \(0.599827\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 6.75214e6 | − | 1.16950e7i | 0.403819 | − | 0.699436i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 2.03386e6 | − | 3.52274e6i | 0.120082 | − | 0.207988i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1.61091e6 | + | 2.79017e6i | 0.0945024 | + | 0.163683i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 4.38051e6 | 0.255341 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −1.40724e7 | −0.815070 |