Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [147,6,Mod(67,147)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(147, 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("147.67");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 147 = 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 147.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: | \(23.5764215125\) |
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: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 21) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 79.1 | ||
Root | \(0.500000 - 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 147.79 |
Dual form | 147.6.e.f.67.1 |
$q$-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 \(\left(\mathbb{Z}/147\mathbb{Z}\right)^\times\).
\(n\) | \(50\) | \(52\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | + | 0.866025i | −0.0883883 | + | 0.153093i | −0.906830 | − | 0.421496i | \(-0.861505\pi\) |
0.818442 | + | 0.574590i | \(0.194838\pi\) | |||||||
\(3\) | 4.50000 | + | 7.79423i | 0.288675 | + | 0.500000i | ||||
\(4\) | 15.5000 | + | 26.8468i | 0.484375 | + | 0.838962i | ||||
\(5\) | 17.0000 | − | 29.4449i | 0.304105 | − | 0.526726i | −0.672956 | − | 0.739682i | \(-0.734976\pi\) |
0.977062 | + | 0.212956i | \(0.0683092\pi\) | |||||||
\(6\) | −9.00000 | −0.102062 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −63.0000 | −0.348029 | ||||||||
\(9\) | −40.5000 | + | 70.1481i | −0.166667 | + | 0.288675i | ||||
\(10\) | 17.0000 | + | 29.4449i | 0.0537587 | + | 0.0931128i | ||||
\(11\) | 170.000 | + | 294.449i | 0.423611 | + | 0.733716i | 0.996290 | − | 0.0860642i | \(-0.0274290\pi\) |
−0.572679 | + | 0.819780i | \(0.694096\pi\) | |||||||
\(12\) | −139.500 | + | 241.621i | −0.279654 | + | 0.484375i | ||||
\(13\) | 454.000 | 0.745071 | 0.372535 | − | 0.928018i | \(-0.378489\pi\) | ||||
0.372535 | + | 0.928018i | \(0.378489\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 306.000 | 0.351150 | ||||||||
\(16\) | −464.500 | + | 804.538i | −0.453613 | + | 0.785681i | ||||
\(17\) | 399.000 | + | 691.088i | 0.334850 | + | 0.579978i | 0.983456 | − | 0.181147i | \(-0.0579809\pi\) |
−0.648606 | + | 0.761124i | \(0.724648\pi\) | |||||||
\(18\) | −40.5000 | − | 70.1481i | −0.0294628 | − | 0.0510310i | ||||
\(19\) | −446.000 | + | 772.495i | −0.283433 | + | 0.490921i | −0.972228 | − | 0.234036i | \(-0.924807\pi\) |
0.688795 | + | 0.724956i | \(0.258140\pi\) | |||||||
\(20\) | 1054.00 | 0.589204 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −340.000 | −0.149769 | ||||||||
\(23\) | 1596.00 | − | 2764.35i | 0.629091 | − | 1.08962i | −0.358644 | − | 0.933475i | \(-0.616761\pi\) |
0.987735 | − | 0.156143i | \(-0.0499060\pi\) | |||||||
\(24\) | −283.500 | − | 491.036i | −0.100467 | − | 0.174015i | ||||
\(25\) | 984.500 | + | 1705.20i | 0.315040 | + | 0.545665i | ||||
\(26\) | −227.000 | + | 393.176i | −0.0658556 | + | 0.114065i | ||||
\(27\) | −729.000 | −0.192450 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −8242.00 | −1.81986 | −0.909929 | − | 0.414764i | \(-0.863864\pi\) | ||||
−0.909929 | + | 0.414764i | \(0.863864\pi\) | |||||||
\(30\) | −153.000 | + | 265.004i | −0.0310376 | + | 0.0537587i | ||||
\(31\) | 1248.00 | + | 2161.60i | 0.233244 | + | 0.403990i | 0.958761 | − | 0.284214i | \(-0.0917326\pi\) |
−0.725517 | + | 0.688204i | \(0.758399\pi\) | |||||||
\(32\) | −1472.50 | − | 2550.44i | −0.254203 | − | 0.440292i | ||||
\(33\) | −1530.00 | + | 2650.04i | −0.244572 | + | 0.423611i | ||||
\(34\) | −798.000 | −0.118387 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −2511.00 | −0.322917 | ||||||||
\(37\) | −4899.00 | + | 8485.32i | −0.588306 | + | 1.01898i | 0.406149 | + | 0.913807i | \(0.366872\pi\) |
−0.994454 | + | 0.105168i | \(0.966462\pi\) | |||||||
\(38\) | −446.000 | − | 772.495i | −0.0501044 | − | 0.0867834i | ||||
\(39\) | 2043.00 | + | 3538.58i | 0.215083 | + | 0.372535i | ||||
\(40\) | −1071.00 | + | 1855.03i | −0.105837 | + | 0.183316i | ||||
\(41\) | 19834.0 | 1.84268 | 0.921342 | − | 0.388754i | \(-0.127094\pi\) | ||||
0.921342 | + | 0.388754i | \(0.127094\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −17236.0 | −1.42156 | −0.710780 | − | 0.703414i | \(-0.751658\pi\) | ||||
−0.710780 | + | 0.703414i | \(0.751658\pi\) | |||||||
\(44\) | −5270.00 | + | 9127.91i | −0.410373 | + | 0.710787i | ||||
\(45\) | 1377.00 | + | 2385.03i | 0.101368 | + | 0.175575i | ||||
\(46\) | 1596.00 | + | 2764.35i | 0.111209 | + | 0.192619i | ||||
\(47\) | −4464.00 | + | 7731.87i | −0.294767 | + | 0.510552i | −0.974931 | − | 0.222508i | \(-0.928576\pi\) |
0.680163 | + | 0.733061i | \(0.261909\pi\) | |||||||
\(48\) | −8361.00 | −0.523788 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −1969.00 | −0.111383 | ||||||||
\(51\) | −3591.00 | + | 6219.79i | −0.193326 | + | 0.334850i | ||||
\(52\) | 7037.00 | + | 12188.4i | 0.360894 | + | 0.625086i | ||||
\(53\) | −75.0000 | − | 129.904i | −0.00366751 | − | 0.00635232i | 0.864186 | − | 0.503173i | \(-0.167834\pi\) |
−0.867853 | + | 0.496820i | \(0.834501\pi\) | |||||||
\(54\) | 364.500 | − | 631.333i | 0.0170103 | − | 0.0294628i | ||||
\(55\) | 11560.0 | 0.515289 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −8028.00 | −0.327281 | ||||||||
\(58\) | 4121.00 | − | 7137.78i | 0.160854 | − | 0.278608i | ||||
\(59\) | 21198.0 | + | 36716.0i | 0.792802 | + | 1.37317i | 0.924225 | + | 0.381847i | \(0.124712\pi\) |
−0.131423 | + | 0.991326i | \(0.541955\pi\) | |||||||
\(60\) | 4743.00 | + | 8215.12i | 0.170089 | + | 0.294602i | ||||
\(61\) | −7379.00 | + | 12780.8i | −0.253906 | + | 0.439778i | −0.964598 | − | 0.263725i | \(-0.915049\pi\) |
0.710692 | + | 0.703503i | \(0.248382\pi\) | |||||||
\(62\) | −2496.00 | −0.0824642 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −26783.0 | −0.817352 | ||||||||
\(65\) | 7718.00 | − | 13368.0i | 0.226580 | − | 0.392448i | ||||
\(66\) | −1530.00 | − | 2650.04i | −0.0432346 | − | 0.0748845i | ||||
\(67\) | 838.000 | + | 1451.46i | 0.0228064 | + | 0.0395019i | 0.877203 | − | 0.480119i | \(-0.159407\pi\) |
−0.854397 | + | 0.519621i | \(0.826073\pi\) | |||||||
\(68\) | −12369.0 | + | 21423.7i | −0.324386 | + | 0.561853i | ||||
\(69\) | 28728.0 | 0.726411 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 14568.0 | 0.342968 | 0.171484 | − | 0.985187i | \(-0.445144\pi\) | ||||
0.171484 | + | 0.985187i | \(0.445144\pi\) | |||||||
\(72\) | 2551.50 | − | 4419.33i | 0.0580049 | − | 0.100467i | ||||
\(73\) | −39189.0 | − | 67877.3i | −0.860710 | − | 1.49079i | −0.871244 | − | 0.490850i | \(-0.836686\pi\) |
0.0105340 | − | 0.999945i | \(-0.496647\pi\) | |||||||
\(74\) | −4899.00 | − | 8485.32i | −0.103999 | − | 0.180131i | ||||
\(75\) | −8860.50 | + | 15346.8i | −0.181888 | + | 0.315040i | ||||
\(76\) | −27652.0 | −0.549152 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −4086.00 | −0.0760435 | ||||||||
\(79\) | 1136.00 | − | 1967.61i | 0.0204791 | − | 0.0354708i | −0.855604 | − | 0.517631i | \(-0.826814\pi\) |
0.876083 | + | 0.482160i | \(0.160148\pi\) | |||||||
\(80\) | 15793.0 | + | 27354.3i | 0.275892 | + | 0.477860i | ||||
\(81\) | −3280.50 | − | 5681.99i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | −9917.00 | + | 17176.7i | −0.162872 | + | 0.282102i | ||||
\(83\) | −37764.0 | −0.601704 | −0.300852 | − | 0.953671i | \(-0.597271\pi\) | ||||
−0.300852 | + | 0.953671i | \(0.597271\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 27132.0 | 0.407319 | ||||||||
\(86\) | 8618.00 | − | 14926.8i | 0.125649 | − | 0.217631i | ||||
\(87\) | −37089.0 | − | 64240.0i | −0.525348 | − | 0.909929i | ||||
\(88\) | −10710.0 | − | 18550.3i | −0.147429 | − | 0.255354i | ||||
\(89\) | 58643.0 | − | 101573.i | 0.784768 | − | 1.35926i | −0.144370 | − | 0.989524i | \(-0.546116\pi\) |
0.929138 | − | 0.369734i | \(-0.120551\pi\) | |||||||
\(90\) | −2754.00 | −0.0358391 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 98952.0 | 1.21886 | ||||||||
\(93\) | −11232.0 | + | 19454.4i | −0.134663 | + | 0.233244i | ||||
\(94\) | −4464.00 | − | 7731.87i | −0.0521080 | − | 0.0902537i | ||||
\(95\) | 15164.0 | + | 26264.8i | 0.172387 | + | 0.298583i | ||||
\(96\) | 13252.5 | − | 22954.0i | 0.146764 | − | 0.254203i | ||||
\(97\) | 10002.0 | 0.107934 | 0.0539669 | − | 0.998543i | \(-0.482813\pi\) | ||||
0.0539669 | + | 0.998543i | \(0.482813\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −27540.0 | −0.282407 | ||||||||
\(100\) | −30519.5 | + | 52861.3i | −0.305195 | + | 0.528613i | ||||
\(101\) | 54385.0 | + | 94197.6i | 0.530488 | + | 0.918832i | 0.999367 | + | 0.0355701i | \(0.0113247\pi\) |
−0.468879 | + | 0.883262i | \(0.655342\pi\) | |||||||
\(102\) | −3591.00 | − | 6219.79i | −0.0341755 | − | 0.0591937i | ||||
\(103\) | 99596.0 | − | 172505.i | 0.925015 | − | 1.60217i | 0.133478 | − | 0.991052i | \(-0.457385\pi\) |
0.791537 | − | 0.611121i | \(-0.209281\pi\) | |||||||
\(104\) | −28602.0 | −0.259306 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 150.000 | 0.00129666 | ||||||||
\(107\) | 39986.0 | − | 69257.8i | 0.337636 | − | 0.584802i | −0.646352 | − | 0.763040i | \(-0.723706\pi\) |
0.983988 | + | 0.178237i | \(0.0570394\pi\) | |||||||
\(108\) | −11299.5 | − | 19571.3i | −0.0932180 | − | 0.161458i | ||||
\(109\) | 23049.0 | + | 39922.0i | 0.185817 | + | 0.321845i | 0.943852 | − | 0.330370i | \(-0.107173\pi\) |
−0.758034 | + | 0.652215i | \(0.773840\pi\) | |||||||
\(110\) | −5780.00 | + | 10011.3i | −0.0455456 | + | 0.0788872i | ||||
\(111\) | −88182.0 | −0.679317 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 262706. | 1.93541 | 0.967707 | − | 0.252078i | \(-0.0811138\pi\) | ||||
0.967707 | + | 0.252078i | \(0.0811138\pi\) | |||||||
\(114\) | 4014.00 | − | 6952.45i | 0.0289278 | − | 0.0501044i | ||||
\(115\) | −54264.0 | − | 93988.0i | −0.382620 | − | 0.662717i | ||||
\(116\) | −127751. | − | 221271.i | −0.881494 | − | 1.52679i | ||||
\(117\) | −18387.0 | + | 31847.2i | −0.124178 | + | 0.215083i | ||||
\(118\) | −42396.0 | −0.280298 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −19278.0 | −0.122211 | ||||||||
\(121\) | 22725.5 | − | 39361.7i | 0.141107 | − | 0.244405i | ||||
\(122\) | −7379.00 | − | 12780.8i | −0.0448847 | − | 0.0777425i | ||||
\(123\) | 89253.0 | + | 154591.i | 0.531937 | + | 0.921342i | ||||
\(124\) | −38688.0 | + | 67009.6i | −0.225955 | + | 0.391366i | ||||
\(125\) | 173196. | 0.991432 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 196608. | 1.08166 | 0.540831 | − | 0.841131i | \(-0.318110\pi\) | ||||
0.540831 | + | 0.841131i | \(0.318110\pi\) | |||||||
\(128\) | 60511.5 | − | 104809.i | 0.326447 | − | 0.565423i | ||||
\(129\) | −77562.0 | − | 134341.i | −0.410369 | − | 0.710780i | ||||
\(130\) | 7718.00 | + | 13368.0i | 0.0400540 | + | 0.0693756i | ||||
\(131\) | 38570.0 | − | 66805.2i | 0.196368 | − | 0.340120i | −0.750980 | − | 0.660325i | \(-0.770419\pi\) |
0.947348 | + | 0.320205i | \(0.103752\pi\) | |||||||
\(132\) | −94860.0 | −0.473858 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −1676.00 | −0.00806329 | ||||||||
\(135\) | −12393.0 | + | 21465.3i | −0.0585251 | + | 0.101368i | ||||
\(136\) | −25137.0 | − | 43538.6i | −0.116538 | − | 0.201849i | ||||
\(137\) | −104085. | − | 180281.i | −0.473791 | − | 0.820630i | 0.525759 | − | 0.850634i | \(-0.323781\pi\) |
−0.999550 | + | 0.0300037i | \(0.990448\pi\) | |||||||
\(138\) | −14364.0 | + | 24879.2i | −0.0642063 | + | 0.111209i | ||||
\(139\) | −275580. | −1.20979 | −0.604896 | − | 0.796304i | \(-0.706785\pi\) | ||||
−0.604896 | + | 0.796304i | \(0.706785\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −80352.0 | −0.340368 | ||||||||
\(142\) | −7284.00 | + | 12616.3i | −0.0303144 | + | 0.0525061i | ||||
\(143\) | 77180.0 | + | 133680.i | 0.315620 | + | 0.546670i | ||||
\(144\) | −37624.5 | − | 65167.5i | −0.151204 | − | 0.261894i | ||||
\(145\) | −140114. | + | 242685.i | −0.553429 | + | 0.958566i | ||||
\(146\) | 78378.0 | 0.304307 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −303738. | −1.13984 | ||||||||
\(149\) | 148053. | − | 256435.i | 0.546326 | − | 0.946264i | −0.452197 | − | 0.891918i | \(-0.649359\pi\) |
0.998522 | − | 0.0543454i | \(-0.0173072\pi\) | |||||||
\(150\) | −8860.50 | − | 15346.8i | −0.0321536 | − | 0.0556917i | ||||
\(151\) | 213236. | + | 369336.i | 0.761059 | + | 1.31819i | 0.942305 | + | 0.334755i | \(0.108653\pi\) |
−0.181247 | + | 0.983438i | \(0.558013\pi\) | |||||||
\(152\) | 28098.0 | − | 48667.2i | 0.0986430 | − | 0.170855i | ||||
\(153\) | −64638.0 | −0.223233 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 84864.0 | 0.283723 | ||||||||
\(156\) | −63333.0 | + | 109696.i | −0.208362 | + | 0.360894i | ||||
\(157\) | −89243.0 | − | 154573.i | −0.288952 | − | 0.500479i | 0.684608 | − | 0.728911i | \(-0.259973\pi\) |
−0.973560 | + | 0.228432i | \(0.926640\pi\) | |||||||
\(158\) | 1136.00 | + | 1967.61i | 0.00362023 | + | 0.00627041i | ||||
\(159\) | 675.000 | − | 1169.13i | 0.00211744 | − | 0.00366751i | ||||
\(160\) | −100130. | −0.309218 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 6561.00 | 0.0196419 | ||||||||
\(163\) | −126386. | + | 218907.i | −0.372589 | + | 0.645343i | −0.989963 | − | 0.141327i | \(-0.954863\pi\) |
0.617374 | + | 0.786670i | \(0.288197\pi\) | |||||||
\(164\) | 307427. | + | 532479.i | 0.892550 | + | 1.54594i | ||||
\(165\) | 52020.0 | + | 90101.3i | 0.148751 | + | 0.257645i | ||||
\(166\) | 18882.0 | − | 32704.6i | 0.0531836 | − | 0.0921167i | ||||
\(167\) | 508088. | 1.40977 | 0.704884 | − | 0.709322i | \(-0.250999\pi\) | ||||
0.704884 | + | 0.709322i | \(0.250999\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −165177. | −0.444870 | ||||||||
\(170\) | −13566.0 | + | 23497.0i | −0.0360022 | + | 0.0623577i | ||||
\(171\) | −36126.0 | − | 62572.1i | −0.0944778 | − | 0.163640i | ||||
\(172\) | −267158. | − | 462731.i | −0.688568 | − | 1.19264i | ||||
\(173\) | 110917. | − | 192114.i | 0.281762 | − | 0.488027i | −0.690057 | − | 0.723755i | \(-0.742414\pi\) |
0.971819 | + | 0.235729i | \(0.0757477\pi\) | |||||||
\(174\) | 74178.0 | 0.185739 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −315860. | −0.768622 | ||||||||
\(177\) | −190782. | + | 330444.i | −0.457725 | + | 0.792802i | ||||
\(178\) | 58643.0 | + | 101573.i | 0.138729 | + | 0.240285i | ||||
\(179\) | 56782.0 | + | 98349.3i | 0.132458 | + | 0.229424i | 0.924624 | − | 0.380882i | \(-0.124380\pi\) |
−0.792166 | + | 0.610306i | \(0.791046\pi\) | |||||||
\(180\) | −42687.0 | + | 73936.1i | −0.0982007 | + | 0.170089i | ||||
\(181\) | 663118. | 1.50451 | 0.752254 | − | 0.658873i | \(-0.228967\pi\) | ||||
0.752254 | + | 0.658873i | \(0.228967\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −132822. | −0.293185 | ||||||||
\(184\) | −100548. | + | 174154.i | −0.218942 | + | 0.379218i | ||||
\(185\) | 166566. | + | 288501.i | 0.357814 | + | 0.619752i | ||||
\(186\) | −11232.0 | − | 19454.4i | −0.0238054 | − | 0.0412321i | ||||
\(187\) | −135660. | + | 234970.i | −0.283692 | + | 0.491370i | ||||
\(188\) | −276768. | −0.571112 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −30328.0 | −0.0609480 | ||||||||
\(191\) | −252832. | + | 437918.i | −0.501474 | + | 0.868579i | 0.498524 | + | 0.866876i | \(0.333875\pi\) |
−0.999999 | + | 0.00170313i | \(0.999458\pi\) | |||||||
\(192\) | −120524. | − | 208753.i | −0.235949 | − | 0.408676i | ||||
\(193\) | 216191. | + | 374454.i | 0.417777 | + | 0.723611i | 0.995716 | − | 0.0924695i | \(-0.0294761\pi\) |
−0.577939 | + | 0.816080i | \(0.696143\pi\) | |||||||
\(194\) | −5001.00 | + | 8661.99i | −0.00954009 | + | 0.0165239i | ||||
\(195\) | 138924. | 0.261632 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −131962. | −0.242261 | −0.121130 | − | 0.992637i | \(-0.538652\pi\) | ||||
−0.121130 | + | 0.992637i | \(0.538652\pi\) | |||||||
\(198\) | 13770.0 | − | 23850.3i | 0.0249615 | − | 0.0432346i | ||||
\(199\) | −149268. | − | 258540.i | −0.267199 | − | 0.462801i | 0.700939 | − | 0.713221i | \(-0.252765\pi\) |
−0.968137 | + | 0.250420i | \(0.919431\pi\) | |||||||
\(200\) | −62023.5 | − | 107428.i | −0.109643 | − | 0.189907i | ||||
\(201\) | −7542.00 | + | 13063.1i | −0.0131673 | + | 0.0228064i | ||||
\(202\) | −108770. | −0.187556 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −222642. | −0.374569 | ||||||||
\(205\) | 337178. | − | 584009.i | 0.560370 | − | 0.970589i | ||||
\(206\) | 99596.0 | + | 172505.i | 0.163521 | + | 0.283227i | ||||
\(207\) | 129276. | + | 223913.i | 0.209697 | + | 0.363206i | ||||
\(208\) | −210883. | + | 365260.i | −0.337974 | + | 0.585388i | ||||
\(209\) | −303280. | −0.480262 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.17062e6 | −1.81013 | −0.905065 | − | 0.425273i | \(-0.860178\pi\) | ||||
−0.905065 | + | 0.425273i | \(0.860178\pi\) | |||||||
\(212\) | 2325.00 | − | 4027.02i | 0.00355290 | − | 0.00615381i | ||||
\(213\) | 65556.0 | + | 113546.i | 0.0990064 | + | 0.171484i | ||||
\(214\) | 39986.0 | + | 69257.8i | 0.0596861 | + | 0.103379i | ||||
\(215\) | −293012. | + | 507512.i | −0.432304 | + | 0.748772i | ||||
\(216\) | 45927.0 | 0.0669782 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −46098.0 | −0.0656963 | ||||||||
\(219\) | 352701. | − | 610896.i | 0.496931 | − | 0.860710i | ||||
\(220\) | 179180. | + | 310349.i | 0.249593 | + | 0.432308i | ||||
\(221\) | 181146. | + | 313754.i | 0.249487 | + | 0.432124i | ||||
\(222\) | 44091.0 | − | 76367.9i | 0.0600437 | − | 0.103999i | ||||
\(223\) | 399376. | 0.537799 | 0.268899 | − | 0.963168i | \(-0.413340\pi\) | ||||
0.268899 | + | 0.963168i | \(0.413340\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −159489. | −0.210027 | ||||||||
\(226\) | −131353. | + | 227510.i | −0.171068 | + | 0.296299i | ||||
\(227\) | −353958. | − | 613073.i | −0.455918 | − | 0.789674i | 0.542822 | − | 0.839848i | \(-0.317356\pi\) |
−0.998740 | + | 0.0501739i | \(0.984022\pi\) | |||||||
\(228\) | −124434. | − | 215526.i | −0.158527 | − | 0.274576i | ||||
\(229\) | 367889. | − | 637202.i | 0.463584 | − | 0.802950i | −0.535553 | − | 0.844502i | \(-0.679897\pi\) |
0.999136 | + | 0.0415514i | \(0.0132300\pi\) | |||||||
\(230\) | 108528. | 0.135276 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 519246. | 0.633364 | ||||||||
\(233\) | 104379. | − | 180790.i | 0.125957 | − | 0.218164i | −0.796149 | − | 0.605100i | \(-0.793133\pi\) |
0.922107 | + | 0.386936i | \(0.126466\pi\) | |||||||
\(234\) | −18387.0 | − | 31847.2i | −0.0219519 | − | 0.0380217i | ||||
\(235\) | 151776. | + | 262884.i | 0.179281 | + | 0.310523i | ||||
\(236\) | −657138. | + | 1.13820e6i | −0.768027 | + | 1.33026i | ||||
\(237\) | 20448.0 | 0.0236472 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 713376. | 0.807837 | 0.403919 | − | 0.914795i | \(-0.367648\pi\) | ||||
0.403919 | + | 0.914795i | \(0.367648\pi\) | |||||||
\(240\) | −142137. | + | 246189.i | −0.159287 | + | 0.275892i | ||||
\(241\) | 252623. | + | 437556.i | 0.280176 | + | 0.485278i | 0.971428 | − | 0.237335i | \(-0.0762740\pi\) |
−0.691252 | + | 0.722614i | \(0.742941\pi\) | |||||||
\(242\) | 22725.5 | + | 39361.7i | 0.0249445 | + | 0.0432052i | ||||
\(243\) | 29524.5 | − | 51137.9i | 0.0320750 | − | 0.0555556i | ||||
\(244\) | −457498. | −0.491943 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −178506. | −0.188068 | ||||||||
\(247\) | −202484. | + | 350713.i | −0.211178 | + | 0.365771i | ||||
\(248\) | −78624.0 | − | 136181.i | −0.0811757 | − | 0.140600i | ||||
\(249\) | −169938. | − | 294341.i | −0.173697 | − | 0.300852i | ||||
\(250\) | −86598.0 | + | 149992.i | −0.0876310 | + | 0.151781i | ||||
\(251\) | 317108. | 0.317704 | 0.158852 | − | 0.987302i | \(-0.449221\pi\) | ||||
0.158852 | + | 0.987302i | \(0.449221\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.08528e6 | 1.06596 | ||||||||
\(254\) | −98304.0 | + | 170268.i | −0.0956064 | + | 0.165595i | ||||
\(255\) | 122094. | + | 211473.i | 0.117583 | + | 0.203659i | ||||
\(256\) | −368016. | − | 637423.i | −0.350968 | − | 0.607894i | ||||
\(257\) | 721423. | − | 1.24954e6i | 0.681329 | − | 1.18010i | −0.293246 | − | 0.956037i | \(-0.594735\pi\) |
0.974575 | − | 0.224060i | \(-0.0719312\pi\) | |||||||
\(258\) | 155124. | 0.145087 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 478516. | 0.438999 | ||||||||
\(261\) | 333801. | − | 578160.i | 0.303310 | − | 0.525348i | ||||
\(262\) | 38570.0 | + | 66805.2i | 0.0347133 | + | 0.0601253i | ||||
\(263\) | −135748. | − | 235122.i | −0.121016 | − | 0.209606i | 0.799152 | − | 0.601128i | \(-0.205282\pi\) |
−0.920169 | + | 0.391522i | \(0.871949\pi\) | |||||||
\(264\) | 96390.0 | − | 166952.i | 0.0851181 | − | 0.147429i | ||||
\(265\) | −5100.00 | −0.00446124 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 1.05557e6 | 0.906172 | ||||||||
\(268\) | −25978.0 | + | 44995.2i | −0.0220937 | + | 0.0382674i | ||||
\(269\) | −425307. | − | 736653.i | −0.358362 | − | 0.620701i | 0.629325 | − | 0.777142i | \(-0.283331\pi\) |
−0.987687 | + | 0.156441i | \(0.949998\pi\) | |||||||
\(270\) | −12393.0 | − | 21465.3i | −0.0103459 | − | 0.0179196i | ||||
\(271\) | 270064. | − | 467765.i | 0.223380 | − | 0.386905i | −0.732452 | − | 0.680818i | \(-0.761624\pi\) |
0.955832 | + | 0.293913i | \(0.0949577\pi\) | |||||||
\(272\) | −741342. | −0.607570 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 208170. | 0.167510 | ||||||||
\(275\) | −334730. | + | 579769.i | −0.266909 | + | 0.462300i | ||||
\(276\) | 445284. | + | 771255.i | 0.351856 | + | 0.609432i | ||||
\(277\) | −256787. | − | 444768.i | −0.201082 | − | 0.348285i | 0.747795 | − | 0.663929i | \(-0.231112\pi\) |
−0.948877 | + | 0.315645i | \(0.897779\pi\) | |||||||
\(278\) | 137790. | − | 238659.i | 0.106932 | − | 0.185211i | ||||
\(279\) | −202176. | −0.155496 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −1.35642e6 | −1.02478 | −0.512388 | − | 0.858754i | \(-0.671239\pi\) | ||||
−0.512388 | + | 0.858754i | \(0.671239\pi\) | |||||||
\(282\) | 40176.0 | − | 69586.9i | 0.0300846 | − | 0.0521080i | ||||
\(283\) | −143378. | − | 248338.i | −0.106418 | − | 0.184322i | 0.807898 | − | 0.589322i | \(-0.200605\pi\) |
−0.914317 | + | 0.405000i | \(0.867272\pi\) | |||||||
\(284\) | 225804. | + | 391104.i | 0.166125 | + | 0.287737i | ||||
\(285\) | −136476. | + | 236383.i | −0.0995277 | + | 0.172387i | ||||
\(286\) | −154360. | −0.111589 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 238545. | 0.169469 | ||||||||
\(289\) | 391526. | − | 678144.i | 0.275751 | − | 0.477614i | ||||
\(290\) | −140114. | − | 242685.i | −0.0978333 | − | 0.169452i | ||||
\(291\) | 45009.0 | + | 77957.9i | 0.0311578 | + | 0.0539669i | ||||
\(292\) | 1.21486e6 | − | 2.10420e6i | 0.833813 | − | 1.44421i | ||||
\(293\) | −1.70727e6 | −1.16180 | −0.580901 | − | 0.813974i | \(-0.697300\pi\) | ||||
−0.580901 | + | 0.813974i | \(0.697300\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.44146e6 | 0.964381 | ||||||||
\(296\) | 308637. | − | 534575.i | 0.204748 | − | 0.354633i | ||||
\(297\) | −123930. | − | 214653.i | −0.0815240 | − | 0.141204i | ||||
\(298\) | 148053. | + | 256435.i | 0.0965776 | + | 0.167277i | ||||
\(299\) | 724584. | − | 1.25502e6i | 0.468717 | − | 0.811842i | ||||
\(300\) | −549351. | −0.352409 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −426472. | −0.269075 | ||||||||
\(303\) | −489465. | + | 847778.i | −0.306277 | + | 0.530488i | ||||
\(304\) | −414334. | − | 717648.i | −0.257138 | − | 0.445376i | ||||
\(305\) | 250886. | + | 434547.i | 0.154428 | + | 0.267478i | ||||
\(306\) | 32319.0 | − | 55978.2i | 0.0197312 | − | 0.0341755i | ||||
\(307\) | −546788. | −0.331111 | −0.165555 | − | 0.986201i | \(-0.552942\pi\) | ||||
−0.165555 | + | 0.986201i | \(0.552942\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 1.79273e6 | 1.06812 | ||||||||
\(310\) | −42432.0 | + | 73494.4i | −0.0250778 | + | 0.0434360i | ||||
\(311\) | −1.61713e6 | − | 2.80095e6i | −0.948079 | − | 1.64212i | −0.749466 | − | 0.662043i | \(-0.769690\pi\) |
−0.198613 | − | 0.980078i | \(-0.563644\pi\) | |||||||
\(312\) | −128709. | − | 222931.i | −0.0748553 | − | 0.129653i | ||||
\(313\) | −906565. | + | 1.57022e6i | −0.523044 | + | 0.905939i | 0.476597 | + | 0.879122i | \(0.341870\pi\) |
−0.999640 | + | 0.0268164i | \(0.991463\pi\) | |||||||
\(314\) | 178486. | 0.102160 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 70432.0 | 0.0396782 | ||||||||
\(317\) | 638289. | − | 1.10555e6i | 0.356754 | − | 0.617917i | −0.630662 | − | 0.776057i | \(-0.717217\pi\) |
0.987417 | + | 0.158141i | \(0.0505500\pi\) | |||||||
\(318\) | 675.000 | + | 1169.13i | 0.000374314 | + | 0.000648331i | ||||
\(319\) | −1.40114e6 | − | 2.42685e6i | −0.770912 | − | 1.33526i | ||||
\(320\) | −455311. | + | 788622.i | −0.248561 | + | 0.430520i | ||||
\(321\) | 719748. | 0.389868 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −711816. | −0.379631 | ||||||||
\(324\) | 101696. | − | 176142.i | 0.0538194 | − | 0.0932180i | ||||
\(325\) | 446963. | + | 774163.i | 0.234727 | + | 0.406559i | ||||
\(326\) | −126386. | − | 218907.i | −0.0658650 | − | 0.114082i | ||||
\(327\) | −207441. | + | 359298.i | −0.107282 | + | 0.185817i | ||||
\(328\) | −1.24954e6 | −0.641307 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −104040. | −0.0525915 | ||||||||
\(331\) | 868106. | − | 1.50360e6i | 0.435515 | − | 0.754334i | −0.561823 | − | 0.827258i | \(-0.689900\pi\) |
0.997337 | + | 0.0729241i | \(0.0232331\pi\) | |||||||
\(332\) | −585342. | − | 1.01384e6i | −0.291450 | − | 0.504807i | ||||
\(333\) | −396819. | − | 687311.i | −0.196102 | − | 0.339659i | ||||
\(334\) | −254044. | + | 440017.i | −0.124607 | + | 0.215826i | ||||
\(335\) | 56984.0 | 0.0277422 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 2.07215e6 | 0.993907 | 0.496953 | − | 0.867777i | \(-0.334452\pi\) | ||||
0.496953 | + | 0.867777i | \(0.334452\pi\) | |||||||
\(338\) | 82588.5 | − | 143047.i | 0.0393213 | − | 0.0681065i | ||||
\(339\) | 1.18218e6 | + | 2.04759e6i | 0.558706 | + | 0.967707i | ||||
\(340\) | 420546. | + | 728407.i | 0.197295 | + | 0.341725i | ||||
\(341\) | −424320. | + | 734944.i | −0.197609 | + | 0.342269i | ||||
\(342\) | 72252.0 | 0.0334029 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 1.08587e6 | 0.494744 | ||||||||
\(345\) | 488376. | − | 845892.i | 0.220906 | − | 0.382620i | ||||
\(346\) | 110917. | + | 192114.i | 0.0498090 | + | 0.0862717i | ||||
\(347\) | 825730. | + | 1.43021e6i | 0.368141 | + | 0.637639i | 0.989275 | − | 0.146065i | \(-0.0466610\pi\) |
−0.621134 | + | 0.783705i | \(0.713328\pi\) | |||||||
\(348\) | 1.14976e6 | − | 1.99144e6i | 0.508931 | − | 0.881494i | ||||
\(349\) | 1.26645e6 | 0.556578 | 0.278289 | − | 0.960497i | \(-0.410233\pi\) | ||||
0.278289 | + | 0.960497i | \(0.410233\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −330966. | −0.143389 | ||||||||
\(352\) | 500650. | − | 867151.i | 0.215366 | − | 0.373025i | ||||
\(353\) | −286609. | − | 496421.i | −0.122420 | − | 0.212038i | 0.798301 | − | 0.602258i | \(-0.205732\pi\) |
−0.920722 | + | 0.390220i | \(0.872399\pi\) | |||||||
\(354\) | −190782. | − | 330444.i | −0.0809150 | − | 0.140149i | ||||
\(355\) | 247656. | − | 428953.i | 0.104298 | − | 0.180650i | ||||
\(356\) | 3.63587e6 | 1.52049 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −113564. | −0.0468310 | ||||||||
\(359\) | −2.23161e6 | + | 3.86527e6i | −0.913866 | + | 1.58286i | −0.105313 | + | 0.994439i | \(0.533584\pi\) |
−0.808553 | + | 0.588423i | \(0.799749\pi\) | |||||||
\(360\) | −86751.0 | − | 150257.i | −0.0352792 | − | 0.0611053i | ||||
\(361\) | 840218. | + | 1.45530e6i | 0.339331 | + | 0.587739i | ||||
\(362\) | −331559. | + | 574277.i | −0.132981 | + | 0.230330i | ||||
\(363\) | 409059. | 0.162937 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −2.66485e6 | −1.04699 | ||||||||
\(366\) | 66411.0 | − | 115027.i | 0.0259142 | − | 0.0448847i | ||||
\(367\) | 2.25398e6 | + | 3.90401e6i | 0.873546 | + | 1.51303i | 0.858304 | + | 0.513142i | \(0.171519\pi\) |
0.0152419 | + | 0.999884i | \(0.495148\pi\) | |||||||
\(368\) | 1.48268e6 | + | 2.56808e6i | 0.570728 | + | 0.988530i | ||||
\(369\) | −803277. | + | 1.39132e6i | −0.307114 | + | 0.531937i | ||||
\(370\) | −333132. | −0.126506 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −696384. | −0.260910 | ||||||||
\(373\) | −832675. | + | 1.44224e6i | −0.309887 | + | 0.536740i | −0.978337 | − | 0.207017i | \(-0.933625\pi\) |
0.668450 | + | 0.743757i | \(0.266958\pi\) | |||||||
\(374\) | −135660. | − | 234970.i | −0.0501502 | − | 0.0868627i | ||||
\(375\) | 779382. | + | 1.34993e6i | 0.286202 | + | 0.495716i | ||||
\(376\) | 281232. | − | 487108.i | 0.102588 | − | 0.177687i | ||||
\(377\) | −3.74187e6 | −1.35592 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −2.53232e6 | −0.905568 | −0.452784 | − | 0.891620i | \(-0.649569\pi\) | ||||
−0.452784 | + | 0.891620i | \(0.649569\pi\) | |||||||
\(380\) | −470084. | + | 814209.i | −0.167000 | + | 0.289252i | ||||
\(381\) | 884736. | + | 1.53241e6i | 0.312249 | + | 0.540831i | ||||
\(382\) | −252832. | − | 437918.i | −0.0886490 | − | 0.153544i | ||||
\(383\) | −398184. | + | 689675.i | −0.138703 | + | 0.240241i | −0.927006 | − | 0.375046i | \(-0.877627\pi\) |
0.788303 | + | 0.615288i | \(0.210960\pi\) | |||||||
\(384\) | 1.08921e6 | 0.376949 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −432382. | −0.147706 | ||||||||
\(387\) | 698058. | − | 1.20907e6i | 0.236927 | − | 0.410369i | ||||
\(388\) | 155031. | + | 268522.i | 0.0522804 | + | 0.0905524i | ||||
\(389\) | −973995. | − | 1.68701e6i | −0.326349 | − | 0.565254i | 0.655435 | − | 0.755251i | \(-0.272485\pi\) |
−0.981785 | + | 0.189998i | \(0.939152\pi\) | |||||||
\(390\) | −69462.0 | + | 120312.i | −0.0231252 | + | 0.0400540i | ||||
\(391\) | 2.54722e6 | 0.842605 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 694260. | 0.226747 | ||||||||
\(394\) | 65981.0 | − | 114282.i | 0.0214130 | − | 0.0370885i | ||||
\(395\) | −38624.0 | − | 66898.7i | −0.0124556 | − | 0.0215737i | ||||
\(396\) | −426870. | − | 739361.i | −0.136791 | − | 0.236929i | ||||
\(397\) | −540579. | + | 936310.i | −0.172140 | + | 0.298156i | −0.939168 | − | 0.343458i | \(-0.888402\pi\) |
0.767028 | + | 0.641614i | \(0.221735\pi\) | |||||||
\(398\) | 298536. | 0.0944689 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −1.82920e6 | −0.571625 | ||||||||
\(401\) | −1.38385e6 | + | 2.39690e6i | −0.429762 | + | 0.744369i | −0.996852 | − | 0.0792866i | \(-0.974736\pi\) |
0.567090 | + | 0.823656i | \(0.308069\pi\) | |||||||
\(402\) | −7542.00 | − | 13063.1i | −0.00232767 | − | 0.00403164i | ||||
\(403\) | 566592. | + | 981366.i | 0.173783 | + | 0.301001i | ||||
\(404\) | −1.68593e6 | + | 2.92013e6i | −0.513910 | + | 0.890119i | ||||
\(405\) | −223074. | −0.0675789 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −3.33132e6 | −0.996851 | ||||||||
\(408\) | 226233. | − | 391847.i | 0.0672830 | − | 0.116538i | ||||
\(409\) | −1.18175e6 | − | 2.04685e6i | −0.349315 | − | 0.605031i | 0.636813 | − | 0.771018i | \(-0.280252\pi\) |
−0.986128 | + | 0.165987i | \(0.946919\pi\) | |||||||
\(410\) | 337178. | + | 584009.i | 0.0990603 | + | 0.171577i | ||||
\(411\) | 936765. | − | 1.62252e6i | 0.273543 | − | 0.473791i | ||||
\(412\) | 6.17495e6 | 1.79222 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −258552. | −0.0741391 | ||||||||
\(415\) | −641988. | + | 1.11196e6i | −0.182981 | + | 0.316933i | ||||
\(416\) | −668515. | − | 1.15790e6i | −0.189399 | − | 0.328049i | ||||
\(417\) | −1.24011e6 | − | 2.14793e6i | −0.349237 | − | 0.604896i | ||||
\(418\) | 151640. | − | 262648.i | 0.0424495 | − | 0.0735248i | ||||
\(419\) | −2.98669e6 | −0.831104 | −0.415552 | − | 0.909569i | \(-0.636412\pi\) | ||||
−0.415552 | + | 0.909569i | \(0.636412\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.46331e6 | −0.952326 | −0.476163 | − | 0.879357i | \(-0.657973\pi\) | ||||
−0.476163 | + | 0.879357i | \(0.657973\pi\) | |||||||
\(422\) | 585310. | − | 1.01379e6i | 0.159994 | − | 0.277118i | ||||
\(423\) | −361584. | − | 626282.i | −0.0982558 | − | 0.170184i | ||||
\(424\) | 4725.00 | + | 8183.94i | 0.00127640 | + | 0.00221079i | ||||
\(425\) | −785631. | + | 1.36075e6i | −0.210982 | + | 0.365432i | ||||
\(426\) | −131112. | −0.0350041 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 2.47913e6 | 0.654169 | ||||||||
\(429\) | −694620. | + | 1.20312e6i | −0.182223 | + | 0.315620i | ||||
\(430\) | −293012. | − | 507512.i | −0.0764213 | − | 0.132366i | ||||
\(431\) | −1.16846e6 | − | 2.02384e6i | −0.302986 | − | 0.524787i | 0.673825 | − | 0.738891i | \(-0.264650\pi\) |
−0.976811 | + | 0.214104i | \(0.931317\pi\) | |||||||
\(432\) | 338620. | − | 586508.i | 0.0872979 | − | 0.151204i | ||||
\(433\) | −3.50838e6 | −0.899264 | −0.449632 | − | 0.893214i | \(-0.648445\pi\) | ||||
−0.449632 | + | 0.893214i | \(0.648445\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −2.52205e6 | −0.639044 | ||||||||
\(436\) | −714519. | + | 1.23758e6i | −0.180010 | + | 0.311787i | ||||
\(437\) | 1.42363e6 | + | 2.46580e6i | 0.356611 | + | 0.617668i | ||||
\(438\) | 352701. | + | 610896.i | 0.0878459 | + | 0.152154i | ||||
\(439\) | −1.77416e6 | + | 3.07294e6i | −0.439372 | + | 0.761015i | −0.997641 | − | 0.0686452i | \(-0.978132\pi\) |
0.558269 | + | 0.829660i | \(0.311466\pi\) | |||||||
\(440\) | −728280. | −0.179336 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −362292. | −0.0882070 | ||||||||
\(443\) | −884166. | + | 1.53142e6i | −0.214055 | + | 0.370753i | −0.952980 | − | 0.303034i | \(-0.902000\pi\) |
0.738925 | + | 0.673788i | \(0.235334\pi\) | |||||||
\(444\) | −1.36682e6 | − | 2.36740e6i | −0.329044 | − | 0.569921i | ||||
\(445\) | −1.99386e6 | − | 3.45347e6i | −0.477304 | − | 0.826715i | ||||
\(446\) | −199688. | + | 345870.i | −0.0475351 | + | 0.0823333i | ||||
\(447\) | 2.66495e6 | 0.630842 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −5.52579e6 | −1.29354 | −0.646768 | − | 0.762687i | \(-0.723880\pi\) | ||||
−0.646768 | + | 0.762687i | \(0.723880\pi\) | |||||||
\(450\) | 79744.5 | − | 138122.i | 0.0185639 | − | 0.0321536i | ||||
\(451\) | 3.37178e6 | + | 5.84009e6i | 0.780581 | + | 1.35201i | ||||
\(452\) | 4.07194e6 | + | 7.05281e6i | 0.937466 | + | 1.62374i | ||||
\(453\) | −1.91912e6 | + | 3.32402e6i | −0.439397 | + | 0.761059i | ||||
\(454\) | 707916. | 0.161191 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 505764. | 0.113903 | ||||||||
\(457\) | 1.48113e6 | − | 2.56539e6i | 0.331744 | − | 0.574597i | −0.651110 | − | 0.758983i | \(-0.725696\pi\) |
0.982854 | + | 0.184386i | \(0.0590297\pi\) | |||||||
\(458\) | 367889. | + | 637202.i | 0.0819508 | + | 0.141943i | ||||
\(459\) | −290871. | − | 503803.i | −0.0644420 | − | 0.111617i | ||||
\(460\) | 1.68218e6 | − | 2.91363e6i | 0.370663 | − | 0.642007i | ||||
\(461\) | 2.11884e6 | 0.464350 | 0.232175 | − | 0.972674i | \(-0.425416\pi\) | ||||
0.232175 | + | 0.972674i | \(0.425416\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 3.19226e6 | 0.692062 | 0.346031 | − | 0.938223i | \(-0.387529\pi\) | ||||
0.346031 | + | 0.938223i | \(0.387529\pi\) | |||||||
\(464\) | 3.82841e6 | − | 6.63100e6i | 0.825512 | − | 1.42983i | ||||
\(465\) | 381888. | + | 661449.i | 0.0819037 | + | 0.141861i | ||||
\(466\) | 104379. | + | 180790.i | 0.0222663 | + | 0.0385664i | ||||
\(467\) | 3.71311e6 | − | 6.43129e6i | 0.787853 | − | 1.36460i | −0.139427 | − | 0.990232i | \(-0.544526\pi\) |
0.927280 | − | 0.374369i | \(-0.122141\pi\) | |||||||
\(468\) | −1.13999e6 | −0.240596 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −303552. | −0.0633853 | ||||||||
\(471\) | 803187. | − | 1.39116e6i | 0.166826 | − | 0.288952i | ||||
\(472\) | −1.33547e6 | − | 2.31311e6i | −0.275918 | − | 0.477904i | ||||
\(473\) | −2.93012e6 | − | 5.07512e6i | −0.602189 | − | 1.04302i | ||||
\(474\) | −10224.0 | + | 17708.5i | −0.00209014 | + | 0.00362023i | ||||
\(475\) | −1.75635e6 | −0.357171 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 12150.0 | 0.00244501 | ||||||||
\(478\) | −356688. | + | 617802.i | −0.0714034 | + | 0.123674i | ||||
\(479\) | 1.69842e6 | + | 2.94176e6i | 0.338226 | + | 0.585825i | 0.984099 | − | 0.177620i | \(-0.0568397\pi\) |
−0.645873 | + | 0.763445i | \(0.723506\pi\) | |||||||
\(480\) | −450585. | − | 780436.i | −0.0892634 | − | 0.154609i | ||||
\(481\) | −2.22415e6 | + | 3.85233e6i | −0.438329 | + | 0.759209i | ||||
\(482\) | −505246. | −0.0990570 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1.40898e6 | 0.273396 | ||||||||
\(485\) | 170034. | − | 294508.i | 0.0328232 | − | 0.0568515i | ||||
\(486\) | 29524.5 | + | 51137.9i | 0.00567012 | + | 0.00982093i | ||||
\(487\) | 1.85691e6 | + | 3.21626e6i | 0.354787 | + | 0.614510i | 0.987082 | − | 0.160219i | \(-0.0512200\pi\) |
−0.632294 | + | 0.774728i | \(0.717887\pi\) | |||||||
\(488\) | 464877. | − | 805191.i | 0.0883667 | − | 0.153056i | ||||
\(489\) | −2.27495e6 | −0.430229 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 5.57494e6 | 1.04361 | 0.521803 | − | 0.853066i | \(-0.325260\pi\) | ||||
0.521803 | + | 0.853066i | \(0.325260\pi\) | |||||||
\(492\) | −2.76684e6 | + | 4.79231e6i | −0.515314 | + | 0.892550i | ||||
\(493\) | −3.28856e6 | − | 5.69595e6i | −0.609380 | − | 1.05548i | ||||
\(494\) | −202484. | − | 350713.i | −0.0373313 | − | 0.0646597i | ||||
\(495\) | −468180. | + | 810912.i | −0.0858815 | + | 0.148751i | ||||
\(496\) | −2.31878e6 | −0.423210 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 339876. | 0.0614111 | ||||||||
\(499\) | −1.96349e6 | + | 3.40086e6i | −0.353002 | + | 0.611418i | −0.986774 | − | 0.162102i | \(-0.948172\pi\) |
0.633772 | + | 0.773520i | \(0.281506\pi\) | |||||||
\(500\) | 2.68454e6 | + | 4.64976e6i | 0.480225 | + | 0.831774i | ||||
\(501\) | 2.28640e6 | + | 3.96015e6i | 0.406965 | + | 0.704884i | ||||
\(502\) | −158554. | + | 274624.i | −0.0280813 | + | 0.0486383i | ||||
\(503\) | 6.42079e6 | 1.13154 | 0.565768 | − | 0.824564i | \(-0.308580\pi\) | ||||
0.565768 | + | 0.824564i | \(0.308580\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 3.69818e6 | 0.645297 | ||||||||
\(506\) | −542640. | + | 939880.i | −0.0942184 | + | 0.163191i | ||||
\(507\) | −743296. | − | 1.28743e6i | −0.128423 | − | 0.222435i | ||||
\(508\) | 3.04742e6 | + | 5.27829e6i | 0.523930 | + | 0.907474i | ||||
\(509\) | −73139.0 | + | 126680.i | −0.0125128 | + | 0.0216728i | −0.872214 | − | 0.489124i | \(-0.837316\pi\) |
0.859701 | + | 0.510797i | \(0.170650\pi\) | |||||||
\(510\) | −244188. | −0.0415718 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 4.60877e6 | 0.776980 | ||||||||
\(513\) | 325134. | − | 563149.i | 0.0545468 | − | 0.0944778i | ||||
\(514\) | 721423. | + | 1.24954e6i | 0.120443 | + | 0.208614i | ||||
\(515\) | −3.38626e6 | − | 5.86518e6i | −0.562604 | − | 0.974459i | ||||
\(516\) | 2.40442e6 | − | 4.16458e6i | 0.397545 | − | 0.688568i | ||||
\(517\) | −3.03552e6 | −0.499467 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 1.99651e6 | 0.325351 | ||||||||
\(520\) | −486234. | + | 842182.i | −0.0788564 | + | 0.136583i | ||||
\(521\) | −3.85468e6 | − | 6.67651e6i | −0.622149 | − | 1.07759i | −0.989085 | − | 0.147348i | \(-0.952926\pi\) |
0.366935 | − | 0.930246i | \(-0.380407\pi\) | |||||||
\(522\) | 333801. | + | 578160.i | 0.0536181 | + | 0.0928693i | ||||
\(523\) | 284710. | − | 493132.i | 0.0455144 | − | 0.0788332i | −0.842371 | − | 0.538898i | \(-0.818841\pi\) |
0.887885 | + | 0.460065i | \(0.152174\pi\) | |||||||
\(524\) | 2.39134e6 | 0.380464 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 271496. | 0.0427857 | ||||||||
\(527\) | −995904. | + | 1.72496e6i | −0.156204 | + | 0.270553i | ||||
\(528\) | −1.42137e6 | − | 2.46189e6i | −0.221882 | − | 0.384311i | ||||
\(529\) | −1.87626e6 | − | 3.24978e6i | −0.291510 | − | 0.504911i | ||||
\(530\) | 2550.00 | − | 4416.73i | 0.000394322 | − | 0.000682985i | ||||
\(531\) | −3.43408e6 | −0.528535 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 9.00464e6 | 1.37293 | ||||||||
\(534\) | −527787. | + | 914154.i | −0.0800950 | + | 0.138729i | ||||
\(535\) | −1.35952e6 | − | 2.35476e6i | −0.205354 | − | 0.355683i | ||||
\(536\) | −52794.0 | − | 91441.9i | −0.00793730 | − | 0.0137478i | ||||
\(537\) | −511038. | + | 885144.i | −0.0764746 | + | 0.132458i | ||||
\(538\) | 850614. | 0.126700 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −768366. | −0.113392 | ||||||||
\(541\) | 4.72401e6 | − | 8.18222e6i | 0.693933 | − | 1.20193i | −0.276606 | − | 0.960983i | \(-0.589210\pi\) |
0.970539 | − | 0.240944i | \(-0.0774570\pi\) | |||||||
\(542\) | 270064. | + | 467765.i | 0.0394883 | + | 0.0683957i | ||||
\(543\) | 2.98403e6 | + | 5.16849e6i | 0.434314 | + | 0.752254i | ||||
\(544\) | 1.17506e6 | − | 2.03525e6i | 0.170240 | − | 0.294864i | ||||
\(545\) | 1.56733e6 | 0.226032 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −1.35321e6 | −0.193374 | −0.0966869 | − | 0.995315i | \(-0.530825\pi\) | ||||
−0.0966869 | + | 0.995315i | \(0.530825\pi\) | |||||||
\(548\) | 3.22664e6 | − | 5.58870e6i | 0.458985 | − | 0.794985i | ||||
\(549\) | −597699. | − | 1.03525e6i | −0.0846353 | − | 0.146593i | ||||
\(550\) | −334730. | − | 579769.i | −0.0471833 | − | 0.0817238i | ||||
\(551\) | 3.67593e6 | − | 6.36690e6i | 0.515808 | − | 0.893406i | ||||
\(552\) | −1.80986e6 | −0.252812 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 513574. | 0.0710933 | ||||||||
\(555\) | −1.49909e6 | + | 2.59651e6i | −0.206584 | + | 0.357814i | ||||
\(556\) | −4.27149e6 | − | 7.39844e6i | −0.585993 | − | 1.01497i | ||||
\(557\) | −4.09695e6 | − | 7.09613e6i | −0.559529 | − | 0.969133i | −0.997536 | − | 0.0701612i | \(-0.977649\pi\) |
0.438006 | − | 0.898972i | \(-0.355685\pi\) | |||||||
\(558\) | 101088. | − | 175090.i | 0.0137440 | − | 0.0238054i | ||||
\(559\) | −7.82514e6 | −1.05916 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −2.44188e6 | −0.327580 | ||||||||
\(562\) | 678211. | − | 1.17470e6i | 0.0905783 | − | 0.156886i | ||||
\(563\) | 5.28982e6 | + | 9.16223e6i | 0.703347 | + | 1.21823i | 0.967285 | + | 0.253693i | \(0.0816454\pi\) |
−0.263938 | + | 0.964540i | \(0.585021\pi\) | |||||||
\(564\) | −1.24546e6 | − | 2.15719e6i | −0.164866 | − | 0.285556i | ||||
\(565\) | 4.46600e6 | − | 7.73534e6i | 0.588570 | − | 1.01943i | ||||
\(566\) | 286756. | 0.0376246 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −917784. | −0.119363 | ||||||||
\(569\) | 6.01026e6 | − | 1.04101e7i | 0.778238 | − | 1.34795i | −0.154718 | − | 0.987959i | \(-0.549447\pi\) |
0.932956 | − | 0.359989i | \(-0.117220\pi\) | |||||||
\(570\) | −136476. | − | 236383.i | −0.0175942 | − | 0.0304740i | ||||
\(571\) | 1.24474e6 | + | 2.15595e6i | 0.159767 | + | 0.276725i | 0.934785 | − | 0.355215i | \(-0.115592\pi\) |
−0.775017 | + | 0.631940i | \(0.782259\pi\) | |||||||
\(572\) | −2.39258e6 | + | 4.14407e6i | −0.305757 | + | 0.529587i | ||||
\(573\) | −4.55098e6 | −0.579053 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 6.28505e6 | 0.792755 | ||||||||
\(576\) | 1.08471e6 | − | 1.87878e6i | 0.136225 | − | 0.235949i | ||||
\(577\) | −4.10661e6 | − | 7.11286e6i | −0.513504 | − | 0.889415i | −0.999877 | − | 0.0156639i | \(-0.995014\pi\) |
0.486373 | − | 0.873751i | \(-0.338320\pi\) | |||||||
\(578\) | 391526. | + | 678144.i | 0.0487463 | + | 0.0844311i | ||||
\(579\) | −1.94572e6 | + | 3.37008e6i | −0.241204 | + | 0.417777i | ||||
\(580\) | −8.68707e6 | −1.07227 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −90018.0 | −0.0110159 | ||||||||
\(583\) | 25500.0 | − | 44167.3i | 0.00310720 | − | 0.00538182i | ||||
\(584\) | 2.46891e6 | + | 4.27627e6i | 0.299552 | + | 0.518840i | ||||
\(585\) | 625158. | + | 1.08281e6i | 0.0755266 | + | 0.130816i | ||||
\(586\) | 853633. | − | 1.47854e6i | 0.102690 | − | 0.177864i | ||||
\(587\) | −1.21827e6 | −0.145931 | −0.0729655 | − | 0.997334i | \(-0.523246\pi\) | ||||
−0.0729655 | + | 0.997334i | \(0.523246\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.22643e6 | −0.264436 | ||||||||
\(590\) | −720732. | + | 1.24834e6i | −0.0852401 | + | 0.147640i | ||||
\(591\) | −593829. | − | 1.02854e6i | −0.0699347 | − | 0.121130i | ||||
\(592\) | −4.55117e6 | − | 7.88286e6i | −0.533727 | − | 0.924442i | ||||
\(593\) | 4.21190e6 | − | 7.29522e6i | 0.491859 | − | 0.851925i | −0.508097 | − | 0.861300i | \(-0.669651\pi\) |
0.999956 | + | 0.00937481i | \(0.00298414\pi\) | |||||||
\(594\) | 247860. | 0.0288231 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 9.17929e6 | 1.05851 | ||||||||
\(597\) | 1.34341e6 | − | 2.32686e6i | 0.154267 | − | 0.267199i | ||||
\(598\) | 724584. | + | 1.25502e6i | 0.0828583 | + | 0.143515i | ||||
\(599\) | −4.10627e6 | − | 7.11226e6i | −0.467606 | − | 0.809918i | 0.531709 | − | 0.846927i | \(-0.321550\pi\) |
−0.999315 | + | 0.0370096i | \(0.988217\pi\) | |||||||
\(600\) | 558212. | − | 966851.i | 0.0633025 | − | 0.109643i | ||||
\(601\) | 3.25478e6 | 0.367566 | 0.183783 | − | 0.982967i | \(-0.441166\pi\) | ||||
0.183783 | + | 0.982967i | \(0.441166\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −135756. | −0.0152043 | ||||||||
\(604\) | −6.61032e6 | + | 1.14494e7i | −0.737276 | + | 1.27700i | ||||
\(605\) | −772667. | − | 1.33830e6i | −0.0858230 | − | 0.148650i | ||||
\(606\) | −489465. | − | 847778.i | −0.0541427 | − | 0.0937779i | ||||
\(607\) | −3.91050e6 | + | 6.77319e6i | −0.430785 | + | 0.746142i | −0.996941 | − | 0.0781561i | \(-0.975097\pi\) |
0.566156 | + | 0.824298i | \(0.308430\pi\) | |||||||
\(608\) | 2.62694e6 | 0.288198 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −501772. | −0.0545986 | ||||||||
\(611\) | −2.02666e6 | + | 3.51027e6i | −0.219623 | + | 0.380397i | ||||
\(612\) | −1.00189e6 | − | 1.73532e6i | −0.108129 | − | 0.187284i | ||||
\(613\) | 4.75835e6 | + | 8.24170e6i | 0.511452 | + | 0.885861i | 0.999912 | + | 0.0132748i | \(0.00422563\pi\) |
−0.488460 | + | 0.872586i | \(0.662441\pi\) | |||||||
\(614\) | 273394. | − | 473532.i | 0.0292663 | − | 0.0506907i | ||||
\(615\) | 6.06920e6 | 0.647059 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −7.04895e6 | −0.745438 | −0.372719 | − | 0.927944i | \(-0.621574\pi\) | ||||
−0.372719 | + | 0.927944i | \(0.621574\pi\) | |||||||
\(618\) | −896364. | + | 1.55255e6i | −0.0944090 | + | 0.163521i | ||||
\(619\) | 3.16087e6 | + | 5.47479e6i | 0.331574 | + | 0.574302i | 0.982821 | − | 0.184563i | \(-0.0590871\pi\) |
−0.651247 | + | 0.758866i | \(0.725754\pi\) | |||||||
\(620\) | 1.31539e6 | + | 2.27833e6i | 0.137428 | + | 0.238033i | ||||
\(621\) | −1.16348e6 | + | 2.01521e6i | −0.121069 | + | 0.209697i | ||||
\(622\) | 3.23426e6 | 0.335197 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −3.79589e6 | −0.390259 | ||||||||
\(625\) | −132230. | + | 229030.i | −0.0135404 | + | 0.0234527i | ||||
\(626\) | −906565. | − | 1.57022e6i | −0.0924620 | − | 0.160149i | ||||
\(627\) | −1.36476e6 | − | 2.36383e6i | −0.138640 | − | 0.240131i | ||||
\(628\) | 2.76653e6 | − | 4.79178e6i | 0.279922 | − | 0.484839i | ||||
\(629\) | −7.81880e6 | −0.787977 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 8.61236e6 | 0.861090 | 0.430545 | − | 0.902569i | \(-0.358321\pi\) | ||||
0.430545 | + | 0.902569i | \(0.358321\pi\) | |||||||
\(632\) | −71568.0 | + | 123959.i | −0.00712732 | + | 0.0123449i | ||||
\(633\) | −5.26779e6 | − | 9.12408e6i | −0.522540 | − | 0.905065i | ||||
\(634\) | 638289. | + | 1.10555e6i | 0.0630658 | + | 0.109233i | ||||
\(635\) | 3.34234e6 | − | 5.78910e6i | 0.328939 | − | 0.569740i | ||||
\(636\) | 41850.0 | 0.00410254 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 2.80228e6 | 0.272559 | ||||||||
\(639\) | −590004. | + | 1.02192e6i | −0.0571614 | + | 0.0990064i | ||||
\(640\) | −2.05739e6 | − | 3.56351e6i | −0.198549 | − | 0.343896i | ||||
\(641\) | 2.61414e6 | + | 4.52783e6i | 0.251295 | + | 0.435256i | 0.963883 | − | 0.266327i | \(-0.0858102\pi\) |
−0.712587 | + | 0.701583i | \(0.752477\pi\) | |||||||
\(642\) | −359874. | + | 623320.i | −0.0344598 | + | 0.0596861i | ||||
\(643\) | 1.61373e7 | 1.53923 | 0.769615 | − | 0.638508i | \(-0.220448\pi\) | ||||
0.769615 | + | 0.638508i | \(0.220448\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −5.27422e6 | −0.499182 | ||||||||
\(646\) | 355908. | − | 616451.i | 0.0335549 | − | 0.0581189i | ||||
\(647\) | 7.93743e6 | + | 1.37480e7i | 0.745451 | + | 1.29116i | 0.949984 | + | 0.312299i | \(0.101099\pi\) |
−0.204533 | + | 0.978860i | \(0.565567\pi\) | |||||||
\(648\) | 206672. | + | 357966.i | 0.0193350 | + | 0.0334891i | ||||
\(649\) | −7.20732e6 | + | 1.24834e7i | −0.671679 | + | 1.16338i | ||||
\(650\) | −893926. | −0.0829886 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −7.83593e6 | −0.721891 | ||||||||
\(653\) | 2.97056e6 | − | 5.14516e6i | 0.272619 | − | 0.472189i | −0.696913 | − | 0.717156i | \(-0.745444\pi\) |
0.969532 | + | 0.244966i | \(0.0787769\pi\) | |||||||
\(654\) | −207441. | − | 359298.i | −0.0189649 | − | 0.0328481i | ||||
\(655\) | −1.31138e6 | − | 2.27138e6i | −0.119433 | − | 0.206864i | ||||
\(656\) | −9.21289e6 | + | 1.59572e7i | −0.835866 | + | 1.44776i | ||||
\(657\) | 6.34862e6 | 0.573807 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −7.64430e6 | −0.685684 | −0.342842 | − | 0.939393i | \(-0.611390\pi\) | ||||
−0.342842 | + | 0.939393i | \(0.611390\pi\) | |||||||
\(660\) | −1.61262e6 | + | 2.79314e6i | −0.144103 | + | 0.249593i | ||||
\(661\) | 3.79344e6 | + | 6.57043e6i | 0.337699 | + | 0.584912i | 0.983999 | − | 0.178171i | \(-0.0570181\pi\) |
−0.646301 | + | 0.763083i | \(0.723685\pi\) | |||||||
\(662\) | 868106. | + | 1.50360e6i | 0.0769888 | + | 0.133349i | ||||
\(663\) | −1.63031e6 | + | 2.82379e6i | −0.144041 | + | 0.249487i | ||||
\(664\) | 2.37913e6 | 0.209410 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 793638. | 0.0693325 | ||||||||
\(667\) | −1.31542e7 | + | 2.27838e7i | −1.14486 | + | 1.98295i | ||||
\(668\) | 7.87536e6 | + | 1.36405e7i | 0.682857 | + | 1.18274i | ||||
\(669\) | 1.79719e6 | + | 3.11283e6i | 0.155249 | + | 0.268899i | ||||
\(670\) | −28492.0 | + | 49349.6i | −0.00245209 | + | 0.00424714i | ||||
\(671\) | −5.01772e6 | −0.430229 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −2.06681e7 | −1.75899 | −0.879494 | − | 0.475910i | \(-0.842119\pi\) | ||||
−0.879494 | + | 0.475910i | \(0.842119\pi\) | |||||||
\(674\) | −1.03607e6 | + | 1.79453e6i | −0.0878498 | + | 0.152160i | ||||
\(675\) | −717700. | − | 1.24309e6i | −0.0606295 | − | 0.105013i | ||||
\(676\) | −2.56024e6 | − | 4.43447e6i | −0.215484 | − | 0.373229i | ||||
\(677\) | −3.94770e6 | + | 6.83762e6i | −0.331034 | + | 0.573368i | −0.982715 | − | 0.185125i | \(-0.940731\pi\) |
0.651681 | + | 0.758493i | \(0.274064\pi\) | |||||||
\(678\) | −2.36435e6 | −0.197532 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −1.70932e6 | −0.141759 | ||||||||
\(681\) | 3.18562e6 | − | 5.51766e6i | 0.263225 | − | 0.455918i | ||||
\(682\) | −424320. | − | 734944.i | −0.0349327 | − | 0.0605053i | ||||
\(683\) | 9.80075e6 | + | 1.69754e7i | 0.803911 | + | 1.39241i | 0.917024 | + | 0.398832i | \(0.130584\pi\) |
−0.113114 | + | 0.993582i | \(0.536082\pi\) | |||||||
\(684\) | 1.11991e6 | − | 1.93973e6i | 0.0915253 | − | 0.158527i | ||||
\(685\) | −7.07778e6 | −0.576329 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 6.62200e6 | 0.535300 | ||||||||
\(688\) | 8.00612e6 | − | 1.38670e7i | 0.644839 | − | 1.11689i | ||||
\(689\) | −34050.0 | − | 58976.3i | −0.00273256 | − | 0.00473293i | ||||
\(690\) | 488376. | + | 845892.i | 0.0390509 | + | 0.0676382i | ||||
\(691\) | 8.63549e6 | − | 1.49571e7i | 0.688005 | − | 1.19166i | −0.284477 | − | 0.958683i | \(-0.591820\pi\) |
0.972482 | − | 0.232977i | \(-0.0748468\pi\) | |||||||
\(692\) | 6.87685e6 | 0.545914 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −1.65146e6 | −0.130158 | ||||||||
\(695\) | −4.68486e6 | + | 8.11442e6i | −0.367904 | + | 0.637229i | ||||
\(696\) | 2.33661e6 | + | 4.04712e6i | 0.182836 | + | 0.316682i | ||||
\(697\) | 7.91377e6 | + | 1.37070e7i | 0.617023 | + | 1.06871i | ||||
\(698\) | −633227. | + | 1.09678e6i | −0.0491950 | + | 0.0852082i | ||||
\(699\) | 1.87882e6 | 0.145443 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −5.36344e6 | −0.412238 | −0.206119 | − | 0.978527i | \(-0.566083\pi\) | ||||
−0.206119 | + | 0.978527i | \(0.566083\pi\) | |||||||
\(702\) | 165483. | − | 286625.i | 0.0126739 | − | 0.0219519i | ||||
\(703\) | −4.36991e6 | − | 7.56890e6i | −0.333491 | − | 0.577623i | ||||
\(704\) | −4.55311e6 | − | 7.88622e6i | −0.346239 | − | 0.599704i | ||||
\(705\) | −1.36598e6 | + | 2.36595e6i | −0.103508 | + | 0.179281i | ||||
\(706\) | 573218. | 0.0432821 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −1.18285e7 | −0.886841 | ||||||||
\(709\) | 8.68665e6 | − | 1.50457e7i | 0.648988 | − | 1.12408i | −0.334377 | − | 0.942440i | \(-0.608526\pi\) |
0.983365 | − | 0.181641i | \(-0.0581409\pi\) | |||||||
\(710\) | 247656. | + | 428953.i | 0.0184375 | + | 0.0319348i | ||||
\(711\) | 92016.0 | + | 159376.i | 0.00682636 | + | 0.0118236i | ||||
\(712\) | −3.69451e6 | + | 6.39908e6i | −0.273122 | + | 0.473061i | ||||
\(713\) | 7.96723e6 | 0.586926 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 5.24824e6 | 0.383927 | ||||||||
\(716\) | −1.76024e6 | + | 3.04883e6i | −0.128319 | + | 0.222254i | ||||
\(717\) | 3.21019e6 | + | 5.56022e6i | 0.233202 | + | 0.403919i | ||||
\(718\) | −2.23161e6 | − | 3.86527e6i | −0.161550 | − | 0.279813i | ||||
\(719\) | −212304. | + | 367721.i | −0.0153157 | + | 0.0265275i | −0.873582 | − | 0.486678i | \(-0.838209\pi\) |
0.858266 | + | 0.513205i | \(0.171542\pi\) | |||||||
\(720\) | −2.55847e6 | −0.183928 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −1.68044e6 | −0.119972 | ||||||||
\(723\) | −2.27361e6 | + | 3.93800e6i | −0.161759 | + | 0.280176i | ||||
\(724\) | 1.02783e7 | + | 1.78026e7i | 0.728746 | + | 1.26222i | ||||
\(725\) | −8.11425e6 | − | 1.40543e7i | −0.573328 | − | 0.993034i | ||||
\(726\) | −204530. | + | 354255.i | −0.0144017 | + | 0.0249445i | ||||
\(727\) | 2.18290e7 | 1.53179 | 0.765893 | − | 0.642968i | \(-0.222297\pi\) | ||||
0.765893 | + | 0.642968i | \(0.222297\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 531441. | 0.0370370 | ||||||||
\(730\) | 1.33243e6 | − | 2.30783e6i | 0.0925414 | − | 0.160286i | ||||
\(731\) | −6.87716e6 | − | 1.19116e7i | −0.476010 | − | 0.824473i | ||||
\(732\) | −2.05874e6 | − | 3.56584e6i | −0.142012 | − | 0.245971i | ||||
\(733\) | −1.08838e7 | + | 1.88512e7i | −0.748202 | + | 1.29592i | 0.200481 | + | 0.979698i | \(0.435749\pi\) |
−0.948684 | + | 0.316227i | \(0.897584\pi\) | |||||||
\(734\) | −4.50797e6 | −0.308845 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −9.40044e6 | −0.639667 | ||||||||
\(737\) | −284920. | + | 493496.i | −0.0193221 | + | 0.0334669i | ||||
\(738\) | −803277. | − | 1.39132e6i | −0.0542906 | − | 0.0940340i | ||||
\(739\) | −3.10893e6 | − | 5.38482e6i | −0.209411 | − | 0.362711i | 0.742118 | − | 0.670269i | \(-0.233821\pi\) |
−0.951529 | + | 0.307558i | \(0.900488\pi\) | |||||||
\(740\) | −5.16355e6 | + | 8.94352e6i | −0.346632 | + | 0.600384i | ||||
\(741\) | −3.64471e6 | −0.243847 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 3.77647e6 | 0.250966 | 0.125483 | − | 0.992096i | \(-0.459952\pi\) | ||||
0.125483 | + | 0.992096i | \(0.459952\pi\) | |||||||
\(744\) | 707616. | − | 1.22563e6i | 0.0468668 | − | 0.0811757i | ||||
\(745\) | −5.03380e6 | − | 8.71880e6i | −0.332281 | − | 0.575527i | ||||
\(746\) | −832675. | − | 1.44224e6i | −0.0547808 | − | 0.0948831i | ||||
\(747\) | 1.52944e6 | − | 2.64907e6i | 0.100284 | − | 0.173697i | ||||
\(748\) | −8.41092e6 | −0.549654 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −1.55876e6 | −0.101188 | ||||||||
\(751\) | 1.44398e6 | − | 2.50104e6i | 0.0934244 | − | 0.161816i | −0.815526 | − | 0.578721i | \(-0.803552\pi\) |
0.908950 | + | 0.416905i | \(0.136885\pi\) | |||||||
\(752\) | −4.14706e6 | − | 7.18291e6i | −0.267421 | − | 0.463187i | ||||
\(753\) | 1.42699e6 | + | 2.47161e6i | 0.0917133 | + | 0.158852i | ||||
\(754\) | 1.87093e6 | − | 3.24055e6i | 0.119848 | − | 0.207582i | ||||
\(755\) | 1.45000e7 | 0.925768 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 1.25519e6 | 0.0796104 | 0.0398052 | − | 0.999207i | \(-0.487326\pi\) | ||||
0.0398052 | + | 0.999207i | \(0.487326\pi\) | |||||||
\(758\) | 1.26616e6 | − | 2.19306e6i | 0.0800417 | − | 0.138636i | ||||
\(759\) | 4.88376e6 | + | 8.45892e6i | 0.307716 | + | 0.532979i | ||||
\(760\) | −955332. | − | 1.65468e6i | −0.0599957 | − | 0.103916i | ||||
\(761\) | 7.13115e6 | − | 1.23515e7i | 0.446373 | − | 0.773140i | −0.551774 | − | 0.833994i | \(-0.686049\pi\) |
0.998147 | + | 0.0608533i | \(0.0193822\pi\) | |||||||
\(762\) | −1.76947e6 | −0.110397 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −1.56756e7 | −0.971606 | ||||||||
\(765\) | −1.09885e6 | + | 1.90326e6i | −0.0678865 | + | 0.117583i | ||||
\(766\) | −398184. | − | 689675.i | −0.0245195 | − | 0.0424690i | ||||
\(767\) | 9.62389e6 | + | 1.66691e7i | 0.590694 | + | 1.02311i | ||||
\(768\) | 3.31215e6 | − | 5.73681e6i | 0.202631 | − | 0.350968i | ||||
\(769\) | −2.02261e7 | −1.23338 | −0.616689 | − | 0.787207i | \(-0.711526\pi\) |