Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(109,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.109");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.bf (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 2 x^{15} + 2 x^{14} - 4 x^{13} - 14 x^{12} + 38 x^{11} - 40 x^{10} + 64 x^{9} + 291 x^{8} - 630 x^{7} + 584 x^{6} - 800 x^{5} + 734 x^{4} - 188 x^{3} + 32 x^{2} - 8 x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | no (minimal twist has level 105) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 289.7 | ||
Root | \(0.202747 - 0.0543258i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 315.289 |
Dual form | 315.2.bf.b.109.7 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.54296 | + | 0.890827i | 1.09104 | + | 0.629910i | 0.933852 | − | 0.357660i | \(-0.116425\pi\) |
0.157184 | + | 0.987569i | \(0.449759\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.587145 | + | 1.01696i | 0.293572 | + | 0.508482i | ||||
\(5\) | 0.881181 | − | 2.05512i | 0.394076 | − | 0.919078i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.40898 | + | 1.09398i | 0.910510 | + | 0.413487i | ||||
\(8\) | − | 1.47113i | − | 0.520123i | ||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 3.19038 | − | 2.38598i | 1.00889 | − | 0.754514i | ||||
\(11\) | −1.03925 | − | 1.80003i | −0.313345 | − | 0.542729i | 0.665739 | − | 0.746184i | \(-0.268116\pi\) |
−0.979084 | + | 0.203455i | \(0.934783\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.13023i | 0.868170i | 0.900872 | + | 0.434085i | \(0.142928\pi\) | ||||
−0.900872 | + | 0.434085i | \(0.857072\pi\) | |||||||
\(14\) | 2.74241 | + | 3.83396i | 0.732939 | + | 1.02467i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.48481 | − | 4.30382i | 0.621203 | − | 1.07596i | ||||
\(17\) | −1.84483 | + | 1.06512i | −0.447438 | + | 0.258329i | −0.706748 | − | 0.707466i | \(-0.749838\pi\) |
0.259310 | + | 0.965794i | \(0.416505\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.86880 | + | 6.70095i | −0.887563 | + | 1.53730i | −0.0448157 | + | 0.998995i | \(0.514270\pi\) |
−0.842747 | + | 0.538309i | \(0.819063\pi\) | |||||||
\(20\) | 2.60736 | − | 0.310523i | 0.583024 | − | 0.0694350i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | − | 3.70316i | − | 0.789516i | ||||||
\(23\) | 4.79479 | + | 2.76827i | 0.999783 | + | 0.577225i | 0.908184 | − | 0.418571i | \(-0.137469\pi\) |
0.0915990 | + | 0.995796i | \(0.470802\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.44704 | − | 3.62187i | −0.689408 | − | 0.724374i | ||||
\(26\) | −2.78849 | + | 4.82981i | −0.546869 | + | 0.947204i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.301877 | + | 3.09218i | 0.0570495 | + | 0.584366i | ||||
\(29\) | −4.01368 | −0.745322 | −0.372661 | − | 0.927968i | \(-0.621555\pi\) | ||||
−0.372661 | + | 0.927968i | \(0.621555\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.45594 | − | 2.52177i | −0.261495 | − | 0.452923i | 0.705144 | − | 0.709064i | \(-0.250882\pi\) |
−0.966639 | + | 0.256141i | \(0.917549\pi\) | |||||||
\(32\) | 5.11984 | − | 2.95594i | 0.905069 | − | 0.522542i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −3.79533 | −0.650894 | ||||||||
\(35\) | 4.37102 | − | 3.98675i | 0.738837 | − | 0.673884i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.04424 | + | 1.75759i | 0.500470 | + | 0.288947i | 0.728908 | − | 0.684612i | \(-0.240028\pi\) |
−0.228437 | + | 0.973559i | \(0.573362\pi\) | |||||||
\(38\) | −11.9388 | + | 6.89286i | −1.93673 | + | 1.11817i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −3.02335 | − | 1.29633i | −0.478034 | − | 0.204968i | ||||
\(41\) | −7.99038 | −1.24789 | −0.623944 | − | 0.781469i | \(-0.714471\pi\) | ||||
−0.623944 | + | 0.781469i | \(0.714471\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 4.99038i | − | 0.761026i | −0.924776 | − | 0.380513i | \(-0.875747\pi\) | ||
0.924776 | − | 0.380513i | \(-0.124253\pi\) | |||||||
\(44\) | 1.22038 | − | 2.11376i | 0.183979 | − | 0.318661i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 4.93210 | + | 8.54266i | 0.727199 | + | 1.25955i | ||||
\(47\) | −2.11376 | − | 1.22038i | −0.308323 | − | 0.178010i | 0.337853 | − | 0.941199i | \(-0.390299\pi\) |
−0.646176 | + | 0.763189i | \(0.723633\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.60639 | + | 5.27078i | 0.658056 | + | 0.752969i | ||||
\(50\) | −2.09218 | − | 8.65910i | −0.295878 | − | 1.22458i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −3.18333 | + | 1.83790i | −0.441449 | + | 0.254871i | ||||
\(53\) | −8.58394 | + | 4.95594i | −1.17910 | + | 0.680751i | −0.955805 | − | 0.294001i | \(-0.905013\pi\) |
−0.223290 | + | 0.974752i | \(0.571680\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −4.61504 | + | 0.549626i | −0.622292 | + | 0.0741116i | ||||
\(56\) | 1.60939 | − | 3.54393i | 0.215064 | − | 0.473577i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −6.19294 | − | 3.57549i | −0.813173 | − | 0.469485i | ||||
\(59\) | −1.47797 | − | 2.55992i | −0.192415 | − | 0.333273i | 0.753635 | − | 0.657293i | \(-0.228299\pi\) |
−0.946050 | + | 0.324020i | \(0.894965\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.44729 | − | 9.43499i | 0.697454 | − | 1.20803i | −0.271892 | − | 0.962328i | \(-0.587649\pi\) |
0.969346 | − | 0.245699i | \(-0.0790174\pi\) | |||||||
\(62\) | − | 5.18797i | − | 0.658873i | ||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.593684 | 0.0742104 | ||||||||
\(65\) | 6.43300 | + | 2.75830i | 0.797916 | + | 0.342125i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.32501 | + | 1.91970i | −0.406215 | + | 0.234528i | −0.689162 | − | 0.724607i | \(-0.742021\pi\) |
0.282947 | + | 0.959135i | \(0.408688\pi\) | |||||||
\(68\) | −2.16637 | − | 1.25075i | −0.262711 | − | 0.151676i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 10.2958 | − | 2.25756i | 1.23058 | − | 0.269830i | ||||
\(71\) | 15.0248 | 1.78312 | 0.891559 | − | 0.452905i | \(-0.149612\pi\) | ||||
0.891559 | + | 0.452905i | \(0.149612\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −7.40771 | + | 4.27684i | −0.867007 | + | 0.500567i | −0.866352 | − | 0.499433i | \(-0.833542\pi\) |
−0.000654464 | 1.00000i | \(0.500208\pi\) | ||||||||
\(74\) | 3.13142 | + | 5.42378i | 0.364021 | + | 0.630502i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −9.08617 | −1.04226 | ||||||||
\(77\) | −0.534324 | − | 5.47316i | −0.0608919 | − | 0.623725i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.05677 | − | 7.02653i | 0.456422 | − | 0.790546i | −0.542347 | − | 0.840155i | \(-0.682464\pi\) |
0.998769 | + | 0.0496086i | \(0.0157974\pi\) | |||||||
\(80\) | −6.65530 | − | 8.89903i | −0.744085 | − | 0.994942i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −12.3288 | − | 7.11804i | −1.36149 | − | 0.786056i | ||||
\(83\) | 8.75128i | 0.960577i | 0.877110 | + | 0.480289i | \(0.159468\pi\) | ||||
−0.877110 | + | 0.480289i | \(0.840532\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.563307 | + | 4.72992i | 0.0610992 | + | 0.513032i | ||||
\(86\) | 4.44556 | − | 7.69994i | 0.479377 | − | 0.830306i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −2.64808 | + | 1.52887i | −0.282286 | + | 0.162978i | ||||
\(89\) | −0.309330 | + | 0.535776i | −0.0327890 | + | 0.0567921i | −0.881954 | − | 0.471335i | \(-0.843772\pi\) |
0.849165 | + | 0.528127i | \(0.177106\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.42443 | + | 7.54067i | −0.358977 | + | 0.790477i | ||||
\(92\) | 6.50151i | 0.677829i | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −2.17429 | − | 3.76598i | −0.224261 | − | 0.388431i | ||||
\(95\) | 10.3622 | + | 13.8556i | 1.06313 | + | 1.42155i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.296842i | 0.0301397i | 0.999886 | + | 0.0150699i | \(0.00479707\pi\) | ||||
−0.999886 | + | 0.0150699i | \(0.995203\pi\) | |||||||
\(98\) | 2.41212 | + | 12.2361i | 0.243660 | + | 1.23603i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.65940 | − | 5.63207i | 0.165940 | − | 0.563207i | ||||
\(101\) | 4.12939 | + | 7.15232i | 0.410890 | + | 0.711682i | 0.994987 | − | 0.100001i | \(-0.0318847\pi\) |
−0.584097 | + | 0.811684i | \(0.698551\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 14.7974 | + | 8.54331i | 1.45804 | + | 0.841797i | 0.998915 | − | 0.0465766i | \(-0.0148312\pi\) |
0.459121 | + | 0.888374i | \(0.348164\pi\) | |||||||
\(104\) | 4.60498 | 0.451555 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −17.6595 | −1.71525 | ||||||||
\(107\) | −5.46507 | − | 3.15526i | −0.528329 | − | 0.305031i | 0.212007 | − | 0.977268i | \(-0.432000\pi\) |
−0.740336 | + | 0.672238i | \(0.765333\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.22338 | + | 2.11895i | 0.117178 | + | 0.202959i | 0.918648 | − | 0.395076i | \(-0.129282\pi\) |
−0.801470 | + | 0.598035i | \(0.795948\pi\) | |||||||
\(110\) | −7.61044 | − | 3.26315i | −0.725627 | − | 0.311130i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 10.6942 | − | 7.64948i | 1.01051 | − | 0.722808i | ||||
\(113\) | − | 10.1570i | − | 0.955489i | −0.878499 | − | 0.477745i | \(-0.841454\pi\) | ||
0.878499 | − | 0.477745i | \(-0.158546\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 9.91422 | − | 7.41452i | 0.924505 | − | 0.691408i | ||||
\(116\) | −2.35661 | − | 4.08177i | −0.218806 | − | 0.378983i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 5.26647i | − | 0.484817i | ||||||
\(119\) | −5.60939 | + | 0.547624i | −0.514212 | + | 0.0502006i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.33993 | − | 5.78493i | 0.303630 | − | 0.525902i | ||||
\(122\) | 16.8099 | − | 9.70519i | 1.52190 | − | 0.878667i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 1.70970 | − | 2.96128i | 0.153535 | − | 0.265931i | ||||
\(125\) | −10.4808 | + | 3.89256i | −0.937435 | + | 0.348161i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 8.86977i | − | 0.787065i | −0.919311 | − | 0.393532i | \(-0.871253\pi\) | ||
0.919311 | − | 0.393532i | \(-0.128747\pi\) | |||||||
\(128\) | −9.32366 | − | 5.38302i | −0.824103 | − | 0.475796i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 7.46868 | + | 9.98663i | 0.655046 | + | 0.875886i | ||||
\(131\) | 2.67075 | − | 4.62588i | 0.233345 | − | 0.404165i | −0.725446 | − | 0.688279i | \(-0.758366\pi\) |
0.958790 | + | 0.284115i | \(0.0916997\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −16.6506 | + | 11.9101i | −1.44379 | + | 1.03273i | ||||
\(134\) | −6.84047 | −0.590926 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.56692 | + | 2.71399i | 0.134363 | + | 0.232723i | ||||
\(137\) | −11.3483 | + | 6.55196i | −0.969553 | + | 0.559772i | −0.899100 | − | 0.437744i | \(-0.855778\pi\) |
−0.0704529 | + | 0.997515i | \(0.522444\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.243164 | −0.0206249 | −0.0103125 | − | 0.999947i | \(-0.503283\pi\) | ||||
−0.0103125 | + | 0.999947i | \(0.503283\pi\) | |||||||
\(140\) | 6.62080 | + | 2.10437i | 0.559560 | + | 0.177852i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 23.1827 | + | 13.3845i | 1.94544 | + | 1.12320i | ||||
\(143\) | 5.63451 | − | 3.25309i | 0.471181 | − | 0.272037i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −3.53678 | + | 8.24860i | −0.293714 | + | 0.685009i | ||||
\(146\) | −15.2397 | −1.26125 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 4.12785i | 0.339307i | ||||||||
\(149\) | −1.16864 | + | 2.02415i | −0.0957388 | + | 0.165824i | −0.909917 | − | 0.414791i | \(-0.863855\pi\) |
0.814178 | + | 0.580615i | \(0.197188\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 5.55677 | + | 9.62460i | 0.452203 | + | 0.783239i | 0.998523 | − | 0.0543378i | \(-0.0173048\pi\) |
−0.546319 | + | 0.837577i | \(0.683971\pi\) | |||||||
\(152\) | 9.85798 | + | 5.69151i | 0.799588 | + | 0.461642i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 4.05120 | − | 8.92084i | 0.326455 | − | 0.718862i | ||||
\(155\) | −6.46548 | + | 0.770003i | −0.519320 | + | 0.0618481i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −9.80185 | + | 5.65910i | −0.782273 | + | 0.451645i | −0.837235 | − | 0.546843i | \(-0.815829\pi\) |
0.0549624 | + | 0.998488i | \(0.482496\pi\) | |||||||
\(158\) | 12.5188 | − | 7.22775i | 0.995945 | − | 0.575009i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.56331 | − | 13.1266i | −0.123590 | − | 1.03775i | ||||
\(161\) | 8.52212 | + | 11.9142i | 0.671637 | + | 0.938967i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.82166 | + | 1.05174i | 0.142683 | + | 0.0823783i | 0.569642 | − | 0.821893i | \(-0.307082\pi\) |
−0.426959 | + | 0.904271i | \(0.640415\pi\) | |||||||
\(164\) | −4.69151 | − | 8.12593i | −0.366345 | − | 0.634529i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −7.79587 | + | 13.5028i | −0.605077 | + | 1.04802i | ||||
\(167\) | − | 3.58600i | − | 0.277493i | −0.990328 | − | 0.138747i | \(-0.955693\pi\) | ||
0.990328 | − | 0.138747i | \(-0.0443074\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 3.20165 | 0.246281 | ||||||||
\(170\) | −3.34438 | + | 7.79987i | −0.256502 | + | 0.598223i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 5.07504 | − | 2.93007i | 0.386968 | − | 0.223416i | ||||
\(173\) | 13.4580 | + | 7.77000i | 1.02320 | + | 0.590742i | 0.915028 | − | 0.403390i | \(-0.132168\pi\) |
0.108168 | + | 0.994133i | \(0.465502\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −4.34159 | − | 12.4960i | −0.328193 | − | 0.944611i | ||||
\(176\) | −10.3293 | −0.778603 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.954567 | + | 0.551120i | −0.0715478 | + | 0.0413082i | ||||
\(179\) | −7.86783 | − | 13.6275i | −0.588069 | − | 1.01857i | −0.994485 | − | 0.104877i | \(-0.966555\pi\) |
0.406416 | − | 0.913688i | \(-0.366778\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −4.98692 | −0.370675 | −0.185337 | − | 0.982675i | \(-0.559338\pi\) | ||||
−0.185337 | + | 0.982675i | \(0.559338\pi\) | |||||||
\(182\) | −12.0012 | + | 8.58437i | −0.889586 | + | 0.636315i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 4.07249 | − | 7.05376i | 0.300228 | − | 0.520010i | ||||
\(185\) | 6.29460 | − | 4.70752i | 0.462788 | − | 0.346104i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 3.83448 | + | 2.21384i | 0.280405 | + | 0.161892i | ||||
\(188\) | − | 2.86615i | − | 0.209036i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 3.64542 | + | 30.6095i | 0.264467 | + | 2.22065i | ||||
\(191\) | 5.90421 | − | 10.2264i | 0.427213 | − | 0.739955i | −0.569411 | − | 0.822053i | \(-0.692829\pi\) |
0.996624 | + | 0.0820978i | \(0.0261620\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 21.4238 | − | 12.3690i | 1.54212 | − | 0.890342i | 0.543412 | − | 0.839466i | \(-0.317132\pi\) |
0.998705 | − | 0.0508752i | \(-0.0162011\pi\) | |||||||
\(194\) | −0.264435 | + | 0.458014i | −0.0189853 | + | 0.0328835i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2.65558 | + | 7.77925i | −0.189684 | + | 0.555661i | ||||
\(197\) | 19.5526i | 1.39307i | 0.717525 | + | 0.696533i | \(0.245275\pi\) | ||||
−0.717525 | + | 0.696533i | \(0.754725\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −11.1201 | − | 19.2605i | −0.788281 | − | 1.36534i | −0.927019 | − | 0.375014i | \(-0.877638\pi\) |
0.138738 | − | 0.990329i | \(-0.455695\pi\) | |||||||
\(200\) | −5.32824 | + | 5.07104i | −0.376764 | + | 0.358577i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 14.7143i | 1.03529i | ||||||||
\(203\) | −9.66889 | − | 4.39091i | −0.678623 | − | 0.308181i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −7.04097 | + | 16.4212i | −0.491763 | + | 1.14691i | ||||
\(206\) | 15.2212 | + | 26.3639i | 1.06051 | + | 1.83686i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 13.4720 | + | 7.77804i | 0.934112 | + | 0.539310i | ||||
\(209\) | 16.0826 | 1.11245 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 23.6191 | 1.62601 | 0.813003 | − | 0.582259i | \(-0.197831\pi\) | ||||
0.813003 | + | 0.582259i | \(0.197831\pi\) | |||||||
\(212\) | −10.0800 | − | 5.81971i | −0.692299 | − | 0.399699i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −5.62158 | − | 9.73687i | −0.384283 | − | 0.665598i | ||||
\(215\) | −10.2558 | − | 4.39743i | −0.699442 | − | 0.299902i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.748566 | − | 7.66767i | −0.0508159 | − | 0.520515i | ||||
\(218\) | 4.35927i | 0.295247i | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −3.26865 | − | 4.37062i | −0.220372 | − | 0.294667i | ||||
\(221\) | −3.33406 | − | 5.77476i | −0.224273 | − | 0.388452i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | − | 25.1420i | − | 1.68363i | −0.539765 | − | 0.841815i | \(-0.681487\pi\) | ||
0.539765 | − | 0.841815i | \(-0.318513\pi\) | |||||||
\(224\) | 15.5674 | − | 1.51978i | 1.04014 | − | 0.101545i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 9.04812 | − | 15.6718i | 0.601872 | − | 1.04247i | ||||
\(227\) | 20.4990 | − | 11.8351i | 1.36057 | − | 0.785524i | 0.370869 | − | 0.928685i | \(-0.379060\pi\) |
0.989699 | + | 0.143161i | \(0.0457266\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.203158 | − | 0.351880i | 0.0134251 | − | 0.0232529i | −0.859235 | − | 0.511581i | \(-0.829060\pi\) |
0.872660 | + | 0.488328i | \(0.162393\pi\) | |||||||
\(230\) | 21.9023 | − | 2.60844i | 1.44419 | − | 0.171995i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 5.90465i | 0.387659i | ||||||||
\(233\) | −6.20531 | − | 3.58264i | −0.406523 | − | 0.234706i | 0.282772 | − | 0.959187i | \(-0.408746\pi\) |
−0.689295 | + | 0.724481i | \(0.742080\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −4.37062 | + | 3.26865i | −0.285108 | + | 0.213223i | ||||
\(236\) | 1.73557 | − | 3.00609i | 0.112976 | − | 0.195680i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −9.14289 | − | 4.15204i | −0.592646 | − | 0.269137i | ||||
\(239\) | 10.0922 | 0.652809 | 0.326404 | − | 0.945230i | \(-0.394163\pi\) | ||||
0.326404 | + | 0.945230i | \(0.394163\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 2.30338 | + | 3.98957i | 0.148374 | + | 0.256991i | 0.930627 | − | 0.365970i | \(-0.119263\pi\) |
−0.782253 | + | 0.622961i | \(0.785929\pi\) | |||||||
\(242\) | 10.3067 | − | 5.95060i | 0.662542 | − | 0.382519i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 12.7934 | 0.819013 | ||||||||
\(245\) | 14.8912 | − | 4.82218i | 0.951361 | − | 0.308078i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −20.9755 | − | 12.1102i | −1.33464 | − | 0.770556i | ||||
\(248\) | −3.70985 | + | 2.14188i | −0.235576 | + | 0.136010i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −19.6391 | − | 3.33057i | −1.24208 | − | 0.210643i | ||||
\(251\) | 0.311597 | 0.0196678 | 0.00983390 | − | 0.999952i | \(-0.496870\pi\) | ||||
0.00983390 | + | 0.999952i | \(0.496870\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 11.5077i | − | 0.723482i | ||||||
\(254\) | 7.90143 | − | 13.6857i | 0.495780 | − | 0.858715i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −10.1844 | − | 17.6398i | −0.636522 | − | 1.10249i | ||||
\(257\) | 2.16689 | + | 1.25106i | 0.135167 | + | 0.0780387i | 0.566059 | − | 0.824365i | \(-0.308468\pi\) |
−0.430892 | + | 0.902404i | \(0.641801\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 5.41075 | + | 7.56437i | 0.336207 | + | 0.470027i | ||||
\(260\) | 0.972008 | + | 8.16165i | 0.0602814 | + | 0.506164i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 8.24171 | − | 4.75835i | 0.509174 | − | 0.293972i | ||||
\(263\) | 4.00546 | − | 2.31255i | 0.246987 | − | 0.142598i | −0.371397 | − | 0.928474i | \(-0.621121\pi\) |
0.618384 | + | 0.785876i | \(0.287788\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.62105 | + | 22.0081i | 0.161010 | + | 1.35195i | ||||
\(266\) | −36.3010 | + | 3.54393i | −2.22576 | + | 0.217292i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −3.90452 | − | 2.25428i | −0.238507 | − | 0.137702i | ||||
\(269\) | −6.01165 | − | 10.4125i | −0.366537 | − | 0.634860i | 0.622485 | − | 0.782632i | \(-0.286123\pi\) |
−0.989022 | + | 0.147772i | \(0.952790\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 2.73467 | − | 4.73660i | 0.166120 | − | 0.287728i | −0.770933 | − | 0.636917i | \(-0.780210\pi\) |
0.937052 | + | 0.349189i | \(0.113543\pi\) | |||||||
\(272\) | 10.5864i | 0.641898i | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −23.3466 | −1.41042 | ||||||||
\(275\) | −2.93714 | + | 9.96879i | −0.177116 | + | 0.601141i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −25.8162 | + | 14.9050i | −1.55114 | + | 0.895553i | −0.553093 | + | 0.833119i | \(0.686553\pi\) |
−0.998049 | + | 0.0624333i | \(0.980114\pi\) | |||||||
\(278\) | −0.375192 | − | 0.216617i | −0.0225025 | − | 0.0129918i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −5.86503 | − | 6.43034i | −0.350503 | − | 0.384287i | ||||
\(281\) | −7.78511 | −0.464421 | −0.232210 | − | 0.972666i | \(-0.574596\pi\) | ||||
−0.232210 | + | 0.972666i | \(0.574596\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −2.26417 | + | 1.30722i | −0.134591 | + | 0.0777062i | −0.565784 | − | 0.824554i | \(-0.691426\pi\) |
0.431193 | + | 0.902260i | \(0.358093\pi\) | |||||||
\(284\) | 8.82174 | + | 15.2797i | 0.523474 | + | 0.906683i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 11.5917 | 0.685434 | ||||||||
\(287\) | −19.2487 | − | 8.74136i | −1.13621 | − | 0.515986i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −6.23106 | + | 10.7925i | −0.366533 | + | 0.634853i | ||||
\(290\) | −12.8052 | + | 9.57657i | −0.751946 | + | 0.562356i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −8.69879 | − | 5.02225i | −0.509058 | − | 0.293905i | ||||
\(293\) | − | 12.7559i | − | 0.745210i | −0.927990 | − | 0.372605i | \(-0.878465\pi\) | ||
0.927990 | − | 0.372605i | \(-0.121535\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −6.56331 | + | 0.781653i | −0.382131 | + | 0.0455096i | ||||
\(296\) | 2.58565 | − | 4.47848i | 0.150288 | − | 0.260306i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −3.60633 | + | 2.08211i | −0.208909 | + | 0.120614i | ||||
\(299\) | −8.66534 | + | 15.0088i | −0.501129 | + | 0.867982i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 5.45940 | − | 12.0217i | 0.314675 | − | 0.692922i | ||||
\(302\) | 19.8005i | 1.13939i | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 19.2265 | + | 33.3012i | 1.10271 | + | 1.90996i | ||||
\(305\) | −14.5900 | − | 19.5088i | −0.835420 | − | 1.11707i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 13.1919i | − | 0.752900i | −0.926437 | − | 0.376450i | \(-0.877145\pi\) | ||
0.926437 | − | 0.376450i | \(-0.122855\pi\) | |||||||
\(308\) | 5.25228 | − | 3.75693i | 0.299277 | − | 0.214071i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −10.6619 | − | 4.57154i | −0.605555 | − | 0.259646i | ||||
\(311\) | −7.14113 | − | 12.3688i | −0.404937 | − | 0.701371i | 0.589378 | − | 0.807858i | \(-0.299373\pi\) |
−0.994314 | + | 0.106487i | \(0.966040\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 4.13218 | + | 2.38572i | 0.233565 | + | 0.134849i | 0.612215 | − | 0.790691i | \(-0.290279\pi\) |
−0.378651 | + | 0.925540i | \(0.623612\pi\) | |||||||
\(314\) | −20.1651 | −1.13798 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 9.52764 | 0.535971 | ||||||||
\(317\) | −16.2854 | − | 9.40240i | −0.914681 | − | 0.528091i | −0.0327466 | − | 0.999464i | \(-0.510425\pi\) |
−0.881934 | + | 0.471372i | \(0.843759\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 4.17121 | + | 7.22474i | 0.233543 | + | 0.404508i | ||||
\(320\) | 0.523143 | − | 1.22009i | 0.0292446 | − | 0.0682052i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 2.53582 | + | 25.9748i | 0.141316 | + | 1.44752i | ||||
\(323\) | − | 16.4829i | − | 0.917131i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 11.3373 | − | 10.7900i | 0.628879 | − | 0.598523i | ||||
\(326\) | 1.87383 | + | 3.24557i | 0.103782 | + | 0.179755i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 11.7549i | 0.649055i | ||||||||
\(329\) | −3.75693 | − | 5.25228i | −0.207126 | − | 0.289568i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −8.88708 | + | 15.3929i | −0.488478 | + | 0.846069i | −0.999912 | − | 0.0132538i | \(-0.995781\pi\) |
0.511434 | + | 0.859322i | \(0.329114\pi\) | |||||||
\(332\) | −8.89973 | + | 5.13826i | −0.488436 | + | 0.281999i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 3.19451 | − | 5.53305i | 0.174796 | − | 0.302755i | ||||
\(335\) | 1.01527 | + | 8.52490i | 0.0554700 | + | 0.465765i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 3.86675i | 0.210635i | 0.994439 | + | 0.105318i | \(0.0335860\pi\) | ||||
−0.994439 | + | 0.105318i | \(0.966414\pi\) | |||||||
\(338\) | 4.94001 | + | 2.85212i | 0.268701 | + | 0.155135i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −4.47941 | + | 3.35001i | −0.242930 | + | 0.181680i | ||||
\(341\) | −3.02617 | + | 5.24148i | −0.163876 | + | 0.283842i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 5.33057 | + | 17.7365i | 0.287824 | + | 0.957683i | ||||
\(344\) | −7.34150 | −0.395827 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 13.8435 | + | 23.9776i | 0.744229 | + | 1.28904i | ||||
\(347\) | −8.89622 | + | 5.13623i | −0.477574 | + | 0.275727i | −0.719405 | − | 0.694591i | \(-0.755585\pi\) |
0.241831 | + | 0.970318i | \(0.422252\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −23.6180 | −1.26424 | −0.632122 | − | 0.774869i | \(-0.717816\pi\) | ||||
−0.632122 | + | 0.774869i | \(0.717816\pi\) | |||||||
\(350\) | 4.43291 | − | 23.1484i | 0.236949 | − | 1.23734i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −10.6416 | − | 6.14391i | −0.567197 | − | 0.327472i | ||||
\(353\) | 5.00354 | − | 2.88880i | 0.266312 | − | 0.153755i | −0.360899 | − | 0.932605i | \(-0.617530\pi\) |
0.627210 | + | 0.778850i | \(0.284197\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 13.2396 | − | 30.8778i | 0.702685 | − | 1.63882i | ||||
\(356\) | −0.726487 | −0.0385037 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | − | 28.0355i | − | 1.48172i | ||||||
\(359\) | −15.6527 | + | 27.1113i | −0.826118 | + | 1.43088i | 0.0749437 | + | 0.997188i | \(0.476122\pi\) |
−0.901062 | + | 0.433691i | \(0.857211\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −20.4352 | − | 35.3948i | −1.07554 | − | 1.86288i | ||||
\(362\) | −7.69461 | − | 4.44248i | −0.404420 | − | 0.233492i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −9.67923 | + | 0.944946i | −0.507329 | + | 0.0495286i | ||||
\(365\) | 2.26189 | + | 18.9924i | 0.118393 | + | 0.994108i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 14.3344 | − | 8.27595i | 0.748248 | − | 0.432001i | −0.0768125 | − | 0.997046i | \(-0.524474\pi\) |
0.825061 | + | 0.565044i | \(0.191141\pi\) | |||||||
\(368\) | 23.8283 | − | 13.7573i | 1.24214 | − | 0.717148i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 13.9059 | − | 1.65611i | 0.722932 | − | 0.0860972i | ||||
\(371\) | −26.1003 | + | 2.54807i | −1.35506 | + | 0.132289i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −27.8363 | − | 16.0713i | −1.44131 | − | 0.832140i | −0.443371 | − | 0.896338i | \(-0.646218\pi\) |
−0.997937 | + | 0.0641985i | \(0.979551\pi\) | |||||||
\(374\) | 3.94429 | + | 6.83171i | 0.203954 | + | 0.353260i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.79533 | + | 3.10961i | −0.0925873 | + | 0.160366i | ||||
\(377\) | − | 12.5638i | − | 0.647066i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 4.98800 | 0.256216 | 0.128108 | − | 0.991760i | \(-0.459110\pi\) | ||||
0.128108 | + | 0.991760i | \(0.459110\pi\) | |||||||
\(380\) | −8.00657 | + | 18.6732i | −0.410728 | + | 0.957914i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 18.2199 | − | 10.5192i | 0.932210 | − | 0.538212i | ||||
\(383\) | 22.9123 | + | 13.2284i | 1.17076 | + | 0.675940i | 0.953860 | − | 0.300253i | \(-0.0970711\pi\) |
0.216903 | + | 0.976193i | \(0.430404\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −11.7188 | − | 3.72475i | −0.597247 | − | 0.189831i | ||||
\(386\) | 44.0746 | 2.24334 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −0.301877 | + | 0.174289i | −0.0153255 | + | 0.00884818i | ||||
\(389\) | 6.38580 | + | 11.0605i | 0.323773 | + | 0.560791i | 0.981263 | − | 0.192672i | \(-0.0617154\pi\) |
−0.657491 | + | 0.753463i | \(0.728382\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −11.7941 | −0.596455 | ||||||||
\(392\) | 7.75401 | − | 6.77661i | 0.391637 | − | 0.342270i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −17.4180 | + | 30.1688i | −0.877506 | + | 1.51988i | ||||
\(395\) | −10.8656 | − | 14.5288i | −0.546708 | − | 0.731023i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −13.0954 | − | 7.56061i | −0.657237 | − | 0.379456i | 0.133986 | − | 0.990983i | \(-0.457222\pi\) |
−0.791223 | + | 0.611527i | \(0.790556\pi\) | |||||||
\(398\) | − | 39.6242i | − | 1.98618i | ||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −24.1531 | + | 5.83577i | −1.20766 | + | 0.291789i | ||||
\(401\) | 6.18029 | − | 10.7046i | 0.308629 | − | 0.534561i | −0.669434 | − | 0.742872i | \(-0.733463\pi\) |
0.978063 | + | 0.208311i | \(0.0667965\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 7.89371 | − | 4.55744i | 0.393214 | − | 0.227022i | ||||
\(404\) | −4.84910 | + | 8.39889i | −0.241252 | + | 0.417860i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −11.0071 | − | 15.3883i | −0.546275 | − | 0.763708i | ||||
\(407\) | − | 7.30630i | − | 0.362160i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −5.26435 | − | 9.11813i | −0.260306 | − | 0.450863i | 0.706017 | − | 0.708194i | \(-0.250490\pi\) |
−0.966323 | + | 0.257332i | \(0.917157\pi\) | |||||||
\(410\) | −25.4924 | + | 19.0649i | −1.25898 | + | 0.941549i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 20.0646i | 0.988513i | ||||||||
\(413\) | −0.759892 | − | 7.78368i | −0.0373918 | − | 0.383010i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 17.9849 | + | 7.71146i | 0.882845 | + | 0.378541i | ||||
\(416\) | 9.25278 | + | 16.0263i | 0.453655 | + | 0.785754i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 24.8147 | + | 14.3268i | 1.21373 | + | 0.700745i | ||||
\(419\) | 13.3110 | 0.650283 | 0.325142 | − | 0.945665i | \(-0.394588\pi\) | ||||
0.325142 | + | 0.945665i | \(0.394588\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 19.1520 | 0.933413 | 0.466707 | − | 0.884412i | \(-0.345440\pi\) | ||||
0.466707 | + | 0.884412i | \(0.345440\pi\) | |||||||
\(422\) | 36.4433 | + | 21.0405i | 1.77403 | + | 1.02424i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 7.29084 | + | 12.6281i | 0.354074 | + | 0.613275i | ||||
\(425\) | 10.2169 | + | 3.01025i | 0.495594 | + | 0.146019i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 23.4442 | − | 16.7695i | 1.13454 | − | 0.811531i | ||||
\(428\) | − | 7.41038i | − | 0.358194i | ||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −11.9070 | − | 15.9212i | −0.574205 | − | 0.767789i | ||||
\(431\) | 5.44818 | + | 9.43653i | 0.262430 | + | 0.454542i | 0.966887 | − | 0.255205i | \(-0.0821429\pi\) |
−0.704457 | + | 0.709746i | \(0.748810\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 19.4869i | 0.936482i | 0.883601 | + | 0.468241i | \(0.155112\pi\) | ||||
−0.883601 | + | 0.468241i | \(0.844888\pi\) | |||||||
\(434\) | 5.67556 | − | 12.4977i | 0.272436 | − | 0.599910i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −1.43660 | + | 2.48826i | −0.0688006 | + | 0.119166i | ||||
\(437\) | −37.1002 | + | 21.4198i | −1.77474 | + | 1.02465i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 6.76549 | − | 11.7182i | 0.322899 | − | 0.559278i | −0.658186 | − | 0.752856i | \(-0.728676\pi\) |
0.981085 | + | 0.193578i | \(0.0620091\pi\) | |||||||
\(440\) | 0.808572 | + | 6.78933i | 0.0385471 | + | 0.323669i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | − | 11.8803i | − | 0.565087i | ||||||
\(443\) | 24.9990 | + | 14.4332i | 1.18774 | + | 0.685740i | 0.957792 | − | 0.287463i | \(-0.0928119\pi\) |
0.229945 | + | 0.973204i | \(0.426145\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.828508 | + | 1.10783i | 0.0392750 | + | 0.0525160i | ||||
\(446\) | 22.3971 | − | 38.7930i | 1.06054 | − | 1.83690i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1.43017 | + | 0.649481i | 0.0675693 | + | 0.0306851i | ||||
\(449\) | 23.4298 | 1.10572 | 0.552860 | − | 0.833274i | \(-0.313536\pi\) | ||||
0.552860 | + | 0.833274i | \(0.313536\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 8.30398 | + | 14.3829i | 0.391019 | + | 0.677265i | ||||
\(452\) | 10.3293 | − | 5.96362i | 0.485849 | − | 0.280505i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 42.1722 | 1.97924 | ||||||||
\(455\) | 12.4794 | + | 13.6823i | 0.585046 | + | 0.641437i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 26.2298 | + | 15.1438i | 1.22698 | + | 0.708396i | 0.966397 | − | 0.257056i | \(-0.0827524\pi\) |
0.260582 | + | 0.965452i | \(0.416086\pi\) | |||||||
\(458\) | 0.626929 | − | 0.361958i | 0.0292945 | − | 0.0169132i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 13.3614 | + | 5.72901i | 0.622978 | + | 0.267116i | ||||
\(461\) | 7.02196 | 0.327045 | 0.163523 | − | 0.986540i | \(-0.447714\pi\) | ||||
0.163523 | + | 0.986540i | \(0.447714\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 2.97324i | 0.138178i | 0.997610 | + | 0.0690891i | \(0.0220093\pi\) | ||||
−0.997610 | + | 0.0690891i | \(0.977991\pi\) | |||||||
\(464\) | −9.97324 | + | 17.2742i | −0.462996 | + | 0.801933i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −6.38302 | − | 11.0557i | −0.295687 | − | 0.512146i | ||||
\(467\) | −20.5723 | − | 11.8774i | −0.951974 | − | 0.549623i | −0.0582807 | − | 0.998300i | \(-0.518562\pi\) |
−0.893694 | + | 0.448678i | \(0.851895\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −10.1100 | + | 0.987002i | −0.466837 | + | 0.0455755i | ||||
\(470\) | −9.65548 | + | 1.14991i | −0.445374 | + | 0.0530416i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −3.76598 | + | 2.17429i | −0.173343 | + | 0.100080i | ||||
\(473\) | −8.98283 | + | 5.18624i | −0.413031 | + | 0.238464i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 37.6059 | − | 9.08617i | 1.72548 | − | 0.416902i | ||||
\(476\) | −3.85044 | − | 5.38302i | −0.176485 | − | 0.246730i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 15.5718 | + | 8.99038i | 0.712237 | + | 0.411210i | ||||
\(479\) | 3.27211 | + | 5.66747i | 0.149507 | + | 0.258953i | 0.931045 | − | 0.364904i | \(-0.118898\pi\) |
−0.781539 | + | 0.623857i | \(0.785565\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −5.50168 | + | 9.52918i | −0.250855 | + | 0.434493i | ||||
\(482\) | 8.20765i | 0.373848i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 7.84408 | 0.356549 | ||||||||
\(485\) | 0.610046 | + | 0.261571i | 0.0277007 | + | 0.0118773i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −14.1395 | + | 8.16346i | −0.640723 | + | 0.369922i | −0.784893 | − | 0.619631i | \(-0.787282\pi\) |
0.144170 | + | 0.989553i | \(0.453949\pi\) | |||||||
\(488\) | −13.8801 | − | 8.01368i | −0.628323 | − | 0.362762i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 27.2721 | + | 5.82503i | 1.23203 | + | 0.263148i | ||||
\(491\) | −24.9009 | −1.12376 | −0.561882 | − | 0.827218i | \(-0.689922\pi\) | ||||
−0.561882 | + | 0.827218i | \(0.689922\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 7.40458 | − | 4.27503i | 0.333485 | − | 0.192538i | ||||
\(494\) | −21.5762 | − | 37.3711i | −0.970761 | − | 1.68141i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −14.4710 | −0.649766 | ||||||||
\(497\) | 36.1945 | + | 16.4369i | 1.62355 | + | 0.737297i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −6.10197 | + | 10.5689i | −0.273161 | + | 0.473130i | −0.969670 | − | 0.244419i | \(-0.921403\pi\) |
0.696508 | + | 0.717549i | \(0.254736\pi\) | |||||||
\(500\) | −10.1124 | − | 8.37315i | −0.452238 | − | 0.374458i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0.480780 | + | 0.277579i | 0.0214583 | + | 0.0123889i | ||||
\(503\) | 27.8165i | 1.24028i | 0.784492 | + | 0.620139i | \(0.212924\pi\) | ||||
−0.784492 | + | 0.620139i | \(0.787076\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 18.3376 | − | 2.18391i | 0.816013 | − | 0.0971827i | ||||
\(506\) | 10.2514 | − | 17.7559i | 0.455728 | − | 0.789345i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 9.02024 | − | 5.20784i | 0.400208 | − | 0.231060i | ||||
\(509\) | 13.9099 | − | 24.0927i | 0.616547 | − | 1.06789i | −0.373563 | − | 0.927605i | \(-0.621864\pi\) |
0.990111 | − | 0.140287i | \(-0.0448025\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −22.5238 | + | 2.19892i | −0.996396 | + | 0.0972744i | ||||
\(512\) | − | 14.7579i | − | 0.652214i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 2.22895 | + | 3.86065i | 0.0983146 | + | 0.170286i | ||||
\(515\) | 30.5968 | − | 22.8823i | 1.34825 | − | 1.00832i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 5.07310i | 0.223115i | ||||||||
\(518\) | 1.61001 | + | 16.4915i | 0.0707396 | + | 0.724596i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 4.05782 | − | 9.46379i | 0.177947 | − | 0.415015i | ||||
\(521\) | 16.7513 | + | 29.0141i | 0.733887 | + | 1.27113i | 0.955210 | + | 0.295929i | \(0.0956291\pi\) |
−0.221323 | + | 0.975200i | \(0.571038\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −11.0815 | − | 6.39790i | −0.484560 | − | 0.279761i | 0.237755 | − | 0.971325i | \(-0.423588\pi\) |
−0.722315 | + | 0.691564i | \(0.756922\pi\) | |||||||
\(524\) | 6.27247 | 0.274014 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 8.24034 | 0.359296 | ||||||||
\(527\) | 5.37195 | + | 3.10149i | 0.234006 | + | 0.135103i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3.82668 | + | 6.62801i | 0.166377 | + | 0.288174i | ||||
\(530\) | −15.5613 | + | 36.2925i | −0.675938 | + | 1.57644i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −21.8884 | − | 9.94014i | −0.948984 | − | 0.430960i | ||||
\(533\) | − | 25.0117i | − | 1.08338i | ||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −11.3002 | + | 8.45102i | −0.488549 | + | 0.365370i | ||||
\(536\) | 2.82412 | + | 4.89153i | 0.121984 | + | 0.211282i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | − | 21.4214i | − | 0.923540i | ||||||
\(539\) | 4.70038 | − | 13.7693i | 0.202460 | − | 0.593085i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −12.6283 | + | 21.8728i | −0.542933 | + | 0.940387i | 0.455801 | + | 0.890082i | \(0.349353\pi\) |
−0.998734 | + | 0.0503053i | \(0.983981\pi\) | |||||||
\(542\) | 8.43897 | − | 4.87224i | 0.362485 | − | 0.209281i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −6.29684 | + | 10.9064i | −0.269975 | + | 0.467610i | ||||
\(545\) | 5.43272 | − | 0.647007i | 0.232712 | − | 0.0277147i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 38.8743i | 1.66214i | 0.556165 | + | 0.831072i | \(0.312272\pi\) | ||||
−0.556165 | + | 0.831072i | \(0.687728\pi\) | |||||||
\(548\) | −13.3262 | − | 7.69389i | −0.569268 | − | 0.328667i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −13.4123 | + | 12.7649i | −0.571904 | + | 0.544298i | ||||
\(551\) | 15.5281 | − | 26.8955i | 0.661520 | − | 1.14579i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 17.4596 | − | 12.4887i | 0.742458 | − | 0.531075i | ||||
\(554\) | −53.1110 | −2.25647 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −0.142773 | − | 0.247290i | −0.00605491 | − | 0.0104874i | ||||
\(557\) | −1.18106 | + | 0.681888i | −0.0500433 | + | 0.0288925i | −0.524813 | − | 0.851218i | \(-0.675865\pi\) |
0.474770 | + | 0.880110i | \(0.342531\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 15.6210 | 0.660700 | ||||||||
\(560\) | −6.29709 | − | 28.7184i | −0.266101 | − | 1.21357i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −12.0121 | − | 6.93519i | −0.506700 | − | 0.292543i | ||||
\(563\) | −9.15774 | + | 5.28722i | −0.385953 | + | 0.222830i | −0.680405 | − | 0.732836i | \(-0.738196\pi\) |
0.294452 | + | 0.955666i | \(0.404863\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −20.8738 | − | 8.95015i | −0.878169 | − | 0.376536i | ||||
\(566\) | −4.65803 | −0.195791 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | − | 22.1035i | − | 0.927441i | ||||||
\(569\) | −18.9932 | + | 32.8973i | −0.796238 | + | 1.37913i | 0.125811 | + | 0.992054i | \(0.459847\pi\) |
−0.922050 | + | 0.387071i | \(0.873487\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 7.84550 | + | 13.5888i | 0.328324 | + | 0.568674i | 0.982179 | − | 0.187946i | \(-0.0601829\pi\) |
−0.653856 | + | 0.756619i | \(0.726850\pi\) | |||||||
\(572\) | 6.61654 | + | 3.82006i | 0.276652 | + | 0.159725i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −21.9129 | − | 30.6348i | −0.914625 | − | 1.27867i | ||||
\(575\) | −6.50151 | − | 26.9084i | −0.271132 | − | 1.12216i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 2.98614 | − | 1.72405i | 0.124315 | − | 0.0717730i | −0.436553 | − | 0.899678i | \(-0.643801\pi\) |
0.560868 | + | 0.827905i | \(0.310468\pi\) | |||||||
\(578\) | −19.2285 | + | 11.1016i | −0.799800 | + | 0.461765i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −10.4651 | + | 1.24634i | −0.434541 | + | 0.0517514i | ||||
\(581\) | −9.57377 | + | 21.0817i | −0.397187 | + | 0.874615i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 17.8417 | + | 10.3009i | 0.738927 | + | 0.426620i | ||||
\(584\) | 6.29180 | + | 10.8977i | 0.260356 | + | 0.450950i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 11.3633 | − | 19.6819i | 0.469415 | − | 0.813051i | ||||
\(587\) | 10.5983i | 0.437441i | 0.975788 | + | 0.218720i | \(0.0701882\pi\) | ||||
−0.975788 | + | 0.218720i | \(0.929812\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 22.5310 | 0.928373 | ||||||||
\(590\) | −10.8232 | − | 4.64071i | −0.445585 | − | 0.191055i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 15.1287 | − | 8.73458i | 0.621787 | − | 0.358989i | ||||
\(593\) | −0.203007 | − | 0.117206i | −0.00833648 | − | 0.00481307i | 0.495826 | − | 0.868422i | \(-0.334865\pi\) |
−0.504162 | + | 0.863609i | \(0.668199\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −3.81746 | + | 12.0105i | −0.156501 | + | 0.492384i | ||||
\(596\) | −2.74464 | −0.112425 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −26.7405 | + | 15.4386i | −1.09350 | + | 0.631333i | ||||
\(599\) | 12.9145 | + | 22.3686i | 0.527673 | + | 0.913956i | 0.999480 | + | 0.0322543i | \(0.0102687\pi\) |
−0.471807 | + | 0.881702i | \(0.656398\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −1.15592 | −0.0471508 | −0.0235754 | − | 0.999722i | \(-0.507505\pi\) | ||||
−0.0235754 | + | 0.999722i | \(0.507505\pi\) | |||||||
\(602\) | 19.1329 | − | 13.6856i | 0.779799 | − | 0.557785i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −6.52525 | + | 11.3021i | −0.265509 | + | 0.459875i | ||||
\(605\) | −8.94564 | − | 11.9615i | −0.363692 | − | 0.486305i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 20.1014 | + | 11.6056i | 0.815891 | + | 0.471055i | 0.848997 | − | 0.528397i | \(-0.177207\pi\) |
−0.0331064 | + | 0.999452i | \(0.510540\pi\) | |||||||
\(608\) | 45.7438i | 1.85516i | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −5.13278 | − | 43.0984i | −0.207820 | − | 1.74500i | ||||
\(611\) | 3.82006 | − | 6.61654i | 0.154543 | − | 0.267677i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 5.48319 | − | 3.16572i | 0.221464 | − | 0.127862i | −0.385164 | − | 0.922848i | \(-0.625855\pi\) |
0.606628 | + | 0.794986i | \(0.292522\pi\) | |||||||
\(614\) | 11.7517 | − | 20.3545i | 0.474259 | − | 0.821440i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −8.05174 | + | 0.786061i | −0.324414 | + | 0.0316713i | ||||
\(617\) | − | 25.9546i | − | 1.04489i | −0.852672 | − | 0.522447i | \(-0.825019\pi\) | ||
0.852672 | − | 0.522447i | \(-0.174981\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −14.5481 | − | 25.1981i | −0.584738 | − | 1.01280i | −0.994908 | − | 0.100787i | \(-0.967864\pi\) |
0.410170 | − | 0.912009i | \(-0.365469\pi\) | |||||||
\(620\) | −4.57924 | − | 6.12306i | −0.183907 | − | 0.245908i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 25.4460i | − | 1.02029i | ||||||
\(623\) | −1.33130 | + | 0.952272i | −0.0533375 | + | 0.0381520i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −1.23585 | + | 24.9694i | −0.0494341 | + | 0.998777i | ||||
\(626\) | 4.25052 | + | 7.36211i | 0.169885 | + | 0.294249i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −11.5102 | − | 6.64542i | −0.459307 | − | 0.265181i | ||||
\(629\) | −7.48816 | −0.298573 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −37.3609 | −1.48731 | −0.743657 | − | 0.668561i | \(-0.766911\pi\) | ||||
−0.743657 | + | 0.668561i | \(0.766911\pi\) | |||||||
\(632\) | −10.3369 | − | 5.96804i | −0.411181 | − | 0.237396i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −16.7518 | − | 29.0150i | −0.665300 | − | 1.15233i | ||||
\(635\) | −18.2284 | − | 7.81588i | −0.723374 | − | 0.310164i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −16.4988 | + | 14.4191i | −0.653705 | + | 0.571305i | ||||
\(638\) | 14.8633i | 0.588443i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −19.2786 | + | 14.4178i | −0.762053 | + | 0.569914i | ||||
\(641\) | −13.9268 | − | 24.1219i | −0.550074 | − | 0.952756i | −0.998269 | − | 0.0588199i | \(-0.981266\pi\) |
0.448195 | − | 0.893936i | \(-0.352067\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 20.3104i | 0.800963i | 0.916305 | + | 0.400481i | \(0.131157\pi\) | ||||
−0.916305 | + | 0.400481i | \(0.868843\pi\) | |||||||
\(644\) | −7.11255 | + | 15.6620i | −0.280274 | + | 0.617170i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 14.6834 | − | 25.4324i | 0.577710 | − | 1.00062i | ||||
\(647\) | −19.4275 | + | 11.2165i | −0.763773 | + | 0.440964i | −0.830649 | − | 0.556797i | \(-0.812030\pi\) |
0.0668759 | + | 0.997761i | \(0.478697\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −3.07196 | + | 5.32078i | −0.120585 | + | 0.208859i | ||||
\(650\) | 27.1050 | − | 6.54900i | 1.06315 | − | 0.256873i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 2.47008i | 0.0967360i | ||||||||
\(653\) | −17.1517 | − | 9.90257i | −0.671200 | − | 0.387517i | 0.125331 | − | 0.992115i | \(-0.460001\pi\) |
−0.796531 | + | 0.604598i | \(0.793334\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −7.15332 | − | 9.56495i | −0.279503 | − | 0.373734i | ||||
\(656\) | −19.8546 | + | 34.3892i | −0.775192 | + | 1.34267i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −1.11790 | − | 11.4508i | −0.0435803 | − | 0.446399i | ||||
\(659\) | 38.3567 | 1.49416 | 0.747082 | − | 0.664731i | \(-0.231454\pi\) | ||||
0.747082 | + | 0.664731i | \(0.231454\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1.48746 | − | 2.57635i | −0.0578554 | − | 0.100209i | 0.835647 | − | 0.549267i | \(-0.185093\pi\) |
−0.893503 | + | 0.449058i | \(0.851760\pi\) | |||||||
\(662\) | −27.4248 | + | 15.8337i | −1.06589 | + | 0.615394i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 12.8743 | 0.499619 | ||||||||
\(665\) | 9.80443 | + | 44.7139i | 0.380199 | + | 1.73393i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −19.2448 | − | 11.1110i | −0.745160 | − | 0.430218i | ||||
\(668\) | 3.64684 | − | 2.10550i | 0.141100 | − | 0.0814644i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −6.02769 | + | 14.0580i | −0.232870 | + | 0.543107i | ||||
\(671\) | −22.6443 | −0.874175 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 22.8397i | 0.880407i | 0.897898 | + | 0.440203i | \(0.145094\pi\) | ||||
−0.897898 | + | 0.440203i | \(0.854906\pi\) | |||||||
\(674\) | −3.44461 | + | 5.96624i | −0.132681 | + | 0.229811i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 1.87983 | + | 3.25596i | 0.0723012 | + | 0.125229i | ||||
\(677\) | 6.23200 | + | 3.59805i | 0.239515 | + | 0.138284i | 0.614954 | − | 0.788563i | \(-0.289175\pi\) |
−0.375439 | + | 0.926847i | \(0.622508\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.324740 | + | 0.715087i | −0.0124624 | + | 0.0274425i | ||||
\(680\) | 6.95833 | − | 0.828698i | 0.266840 | − | 0.0317791i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −9.33850 | + | 5.39159i | −0.357590 | + | 0.206454i | ||||
\(683\) | −3.94425 | + | 2.27721i | −0.150922 | + | 0.0871351i | −0.573559 | − | 0.819164i | \(-0.694438\pi\) |
0.422637 | + | 0.906299i | \(0.361105\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 3.46513 | + | 29.0956i | 0.132396 | + | 1.11169i | ||||
\(686\) | −7.57535 | + | 32.1153i | −0.289228 | + | 1.22617i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −21.4777 | − | 12.4002i | −0.818830 | − | 0.472751i | ||||
\(689\) | −15.5132 | − | 26.8697i | −0.591008 | − | 1.02366i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −1.76948 | + | 3.06483i | −0.0673142 | + | 0.116592i | −0.897718 | − | 0.440570i | \(-0.854776\pi\) |
0.830404 | + | 0.557162i | \(0.188110\pi\) | |||||||
\(692\) | 18.2485i | 0.693702i | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −18.3020 | −0.694734 | ||||||||
\(695\) | −0.214272 | + | 0.499732i | −0.00812780 | + | 0.0189559i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 14.7409 | − | 8.51068i | 0.558353 | − | 0.322365i | ||||
\(698\) | −36.4416 | − | 21.0396i | −1.37934 | − | 0.796360i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 10.1589 | − | 11.7522i | 0.383969 | − | 0.444192i | ||||
\(701\) | 16.8111 | 0.634948 | 0.317474 | − | 0.948267i | \(-0.397165\pi\) | ||||
0.317474 | + | 0.948267i | \(0.397165\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −23.5551 | + | 13.5996i | −0.888398 | + | 0.512917i | ||||
\(704\) | −0.616984 | − | 1.06865i | −0.0232535 | − | 0.0402762i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 10.2937 | 0.387407 | ||||||||
\(707\) | 2.12311 | + | 21.7473i | 0.0798477 | + | 0.817892i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 15.9088 | − | 27.5549i | 0.597468 | − | 1.03484i | −0.395726 | − | 0.918369i | \(-0.629507\pi\) |
0.993194 | − | 0.116476i | \(-0.0371597\pi\) | |||||||
\(710\) | 47.9349 | − | 35.8490i | 1.79896 | − | 1.34539i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0.788197 | + | 0.455066i | 0.0295389 | + | 0.0170543i | ||||
\(713\) | − | 16.1218i | − | 0.603766i | ||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.72046 | − | 14.4462i | −0.0643414 | − | 0.540256i | ||||
\(716\) | 9.23910 | − | 16.0026i | 0.345282 | − | 0.598045i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −48.3029 | + | 27.8877i | −1.80265 | + | 1.04076i | ||||
\(719\) | −7.64037 | + | 13.2335i | −0.284938 | + | 0.493527i | −0.972594 | − | 0.232510i | \(-0.925306\pi\) |
0.687656 | + | 0.726036i | \(0.258640\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 26.3005 | + | 36.7689i | 0.979483 | + | 1.36934i | ||||
\(722\) | − | 72.8169i | − | 2.70996i | ||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −2.92804 | − | 5.07152i | −0.108820 | − | 0.188482i | ||||
\(725\) | 13.8353 | + | 14.5370i | 0.513831 | + | 0.539891i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 19.1829i | − | 0.711453i | −0.934590 | − | 0.355726i | \(-0.884234\pi\) | ||
0.934590 | − | 0.355726i | \(-0.115766\pi\) | |||||||
\(728\) | 11.0933 | + | 5.03778i | 0.411146 | + | 0.186713i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −13.4289 | + | 31.3194i | −0.497028 | + | 1.15918i | ||||
\(731\) | 5.31533 | + | 9.20643i | 0.196595 | + | 0.340512i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −42.1943 | − | 24.3609i | −1.55848 | − | 0.899790i | −0.997403 | − | 0.0720283i | \(-0.977053\pi\) |
−0.561080 | − | 0.827762i | \(-0.689614\pi\) | |||||||
\(734\) | 29.4898 | 1.08849 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 32.7314 | 1.20650 | ||||||||
\(737\) | 6.91102 | + | 3.99008i | 0.254571 | + | 0.146976i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −4.74202 | − | 8.21343i | −0.174438 | − | 0.302136i | 0.765529 | − | 0.643402i | \(-0.222478\pi\) |
−0.939967 | + | 0.341266i | \(0.889144\pi\) | |||||||
\(740\) | 8.48322 | + | 3.63738i | 0.311849 | + | 0.133713i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −42.5415 | − | 19.3193i | −1.56175 | − | 0.709233i | ||||
\(743\) | 30.2032i | 1.10805i | 0.832501 | + | 0.554023i | \(0.186908\pi\) | ||||
−0.832501 | + | 0.554023i | \(0.813092\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 3.13008 | + | 4.18534i | 0.114677 | + | 0.153339i | ||||
\(746\) | −28.6335 | − | 49.5946i | −1.04835 | − | 1.81579i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 5.19937i | 0.190108i | ||||||||
\(749\) | −9.71346 | − | 13.5797i | −0.354922 | − | 0.496191i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 3.66467 | − | 6.34739i | 0.133726 | − | 0.231620i | −0.791384 | − | 0.611319i | \(-0.790639\pi\) |
0.925110 | + | 0.379699i | \(0.123973\pi\) | |||||||
\(752\) | −10.5046 | + | 6.06481i | −0.383062 | + | 0.221161i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 11.1921 | − | 19.3853i | 0.407593 | − | 0.705972i | ||||
\(755\) | 24.6762 | − | 2.93880i | 0.898060 | − | 0.106954i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 14.1603i | − | 0.514666i | −0.966323 | − | 0.257333i | \(-0.917156\pi\) | ||
0.966323 | − | 0.257333i | \(-0.0828438\pi\) | |||||||
\(758\) | 7.69626 | + | 4.44344i | 0.279541 | + | 0.161393i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 20.3834 | − | 15.2441i | 0.739384 | − | 0.552961i | ||||
\(761\) | −11.9592 | + | 20.7139i | −0.433519 | + | 0.750878i | −0.997173 | − | 0.0751333i | \(-0.976062\pi\) |
0.563654 | + | 0.826011i | \(0.309395\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.628994 | + | 6.44288i | 0.0227711 | + | 0.233248i | ||||
\(764\) | 13.8665 | 0.501672 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 23.5684 | + | 40.8217i | 0.851562 | + | 1.47495i | ||||
\(767\) | 8.01315 | − | 4.62639i | 0.289338 | − | 0.167049i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −14.1358 | −0.509750 | −0.254875 | − | 0.966974i | \(-0.582034\pi\) | ||||
−0.254875 | + | 0.966974i | \(0.582034\pi\) | |||||||
\(770\) | −14.7636 | − | 16.1866i | −0.532042 | − | 0.583324i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 25.1577 | + | 14.5248i | 0.905445 | + | 0.522759i | ||||
\(773\) | −5.85409 | + | 3.37986i | −0.210557 | + | 0.121565i | −0.601570 | − | 0.798820i | \(-0.705458\pi\) |
0.391013 | + | 0.920385i | \(0.372125\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −4.11481 | + | 13.9659i | −0.147808 | + | 0.501668i | ||||
\(776\) | 0.436693 | 0.0156764 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 22.7545i | 0.815790i | ||||||||
\(779\) | 30.9132 | − | 53.5432i | 1.10758 | − | 1.91838i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −15.6145 | − | 27.0451i | −0.558731 | − | 0.967750i | ||||
\(782\) | −18.1978 | − | 10.5065i | −0.650753 | − | 0.375713i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 34.1305 | − | 6.72819i | 1.21895 | − | 0.240293i | ||||
\(785\) | 2.99292 | + | 25.1307i | 0.106822 | + | 0.896952i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −13.3152 | + | 7.68754i | −0.474636 | + | 0.274031i | −0.718178 | − | 0.695859i | \(-0.755024\pi\) |
0.243543 | + | 0.969890i | \(0.421690\pi\) | |||||||
\(788\) | −19.8843 | + | 11.4802i | −0.708349 | + | 0.408966i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −3.82254 | − | 32.0967i | −0.136000 | − | 1.14195i | ||||
\(791\) | 11.1116 | − | 24.4680i | 0.395083 | − | 0.869982i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 29.5337 | + | 17.0513i | 1.04877 | + | 0.605509i | ||||
\(794\) | −13.4704 | − | 23.3314i | −0.478046 | − | 0.828000i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 13.0582 | − | 22.6174i | 0.462835 | − | 0.801654i | ||||
\(797\) | − | 9.46785i | − | 0.335369i | −0.985841 | − | 0.167684i | \(-0.946371\pi\) | ||
0.985841 | − | 0.167684i | \(-0.0536289\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 5.19937 | 0.183941 | ||||||||
\(800\) | −28.3543 | − | 8.35415i | −1.00248 | − | 0.295364i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 19.0718 | − | 11.0111i | 0.673450 | − | 0.388817i | ||||
\(803\) | 15.3969 | + | 8.88940i | 0.543344 | + | 0.313700i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 31.9945 | − | 7.01545i | 1.12766 | − | 0.247262i | ||||
\(806\) | 16.2395 | 0.572014 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 10.5220 | − | 6.07488i | 0.370163 | − | 0.213713i | ||||
\(809\) | −2.81872 | − | 4.88217i | −0.0991011 | − | 0.171648i | 0.812212 | − | 0.583363i | \(-0.198263\pi\) |
−0.911313 | + | 0.411715i | \(0.864930\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 24.3625 | 0.855485 | 0.427742 | − | 0.903901i | \(-0.359309\pi\) | ||||
0.427742 | + | 0.903901i | \(0.359309\pi\) | |||||||
\(812\) | −1.21164 | − | 12.4110i | −0.0425202 | − | 0.435541i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 6.50865 | − | 11.2733i | 0.228128 | − | 0.395129i | ||||
\(815\) | 3.76666 | − | 2.81696i | 0.131940 | − | 0.0986738i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 33.4403 | + | 19.3068i | 1.16993 | + | 0.675458i | ||||
\(818\) | − | 18.7585i | − | 0.655876i | ||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −20.8338 | + | 2.48119i | −0.727549 | + | 0.0866471i | ||||
\(821\) | −15.8731 | + | 27.4930i | −0.553974 | + | 0.959512i | 0.444008 | + | 0.896023i | \(0.353556\pi\) |
−0.997983 | + | 0.0634890i | \(0.979777\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −3.44299 | + | 1.98781i | −0.120015 | + | 0.0692908i | −0.558806 | − | 0.829299i | \(-0.688740\pi\) |
0.438791 | + | 0.898589i | \(0.355407\pi\) | |||||||
\(824\) | 12.5683 | − | 21.7690i | 0.437838 | − | 0.758358i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 5.76143 | − | 12.6868i | 0.200466 | − | 0.441431i | ||||
\(827\) | 6.80348i | 0.236580i | 0.992979 | + | 0.118290i | \(0.0377413\pi\) | ||||
−0.992979 | + | 0.118290i | \(0.962259\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 11.5303 | + | 19.9710i | 0.400463 | + | 0.693623i | 0.993782 | − | 0.111345i | \(-0.0355159\pi\) |
−0.593319 | + | 0.804968i | \(0.702183\pi\) | |||||||
\(830\) | 20.8804 | + | 27.9199i | 0.724769 | + | 0.969114i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 1.85837i | 0.0644273i | ||||||||
\(833\) | −14.1120 | − | 4.81738i | −0.488953 | − | 0.166912i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −7.36967 | − | 3.15992i | −0.255038 | − | 0.109354i | ||||
\(836\) | 9.44278 | + | 16.3554i | 0.326586 | + | 0.565663i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 20.5383 | + | 11.8578i | 0.709482 | + | 0.409620i | ||||
\(839\) | −35.0723 | −1.21083 | −0.605415 | − | 0.795910i | \(-0.706993\pi\) | ||||
−0.605415 | + | 0.795910i | \(0.706993\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −12.8904 | −0.444495 | ||||||||
\(842\) | 29.5508 | + | 17.0611i | 1.01839 | + | 0.587966i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 13.8678 | + | 24.0198i | 0.477350 | + | 0.826795i | ||||
\(845\) | 2.82124 | − | 6.57978i | 0.0970534 | − | 0.226351i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 14.3745 | − | 10.2820i | 0.493912 | − | 0.353292i | ||||
\(848\) | 49.2583i | 1.69154i | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 13.0827 | + | 13.7462i | 0.448732 | + | 0.471491i | ||||
\(851\) | 9.73100 | + | 16.8546i | 0.333575 | + | 0.577768i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | − | 12.3125i | − | 0.421571i | −0.977532 | − | 0.210785i | \(-0.932398\pi\) | ||
0.977532 | − | 0.210785i | \(-0.0676021\pi\) | |||||||
\(854\) | 51.1120 | − | 4.98987i | 1.74902 | − | 0.170750i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −4.64180 | + | 8.03984i | −0.158654 | + | 0.274796i | ||||
\(857\) | 28.7952 | − | 16.6249i | 0.983624 | − | 0.567896i | 0.0802617 | − | 0.996774i | \(-0.474424\pi\) |
0.903362 | + | 0.428878i | \(0.141091\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −1.50697 | + | 2.61015i | −0.0514172 | + | 0.0890573i | −0.890588 | − | 0.454810i | \(-0.849707\pi\) |
0.839171 | + | 0.543867i | \(0.183041\pi\) | |||||||
\(860\) | −1.54963 | − | 13.0117i | −0.0528418 | − | 0.443697i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 19.4136i | 0.661228i | ||||||||
\(863\) | −19.2569 | − | 11.1180i | −0.655513 | − | 0.378460i | 0.135052 | − | 0.990838i | \(-0.456880\pi\) |
−0.790565 | + | 0.612378i | \(0.790213\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 27.8273 | − | 20.8111i | 0.946155 | − | 0.707599i | ||||
\(866\) | −17.3595 | + | 30.0675i | −0.589899 | + | 1.02174i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 7.35823 | − | 5.26329i | 0.249755 | − | 0.178648i | ||||
\(869\) | −16.8639 | −0.572070 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −6.00909 | − | 10.4081i | −0.203610 | − | 0.352663i | ||||
\(872\) | 3.11726 | − | 1.79975i | 0.105564 | − | 0.0609472i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −76.3253 | −2.58174 | ||||||||
\(875\) | −29.5066 | − | 2.08878i | −0.997504 | − | 0.0706137i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −12.4033 | − | 7.16105i | −0.418830 | − | 0.241812i | 0.275747 | − | 0.961230i | \(-0.411075\pi\) |
−0.694577 | + | 0.719419i | \(0.744408\pi\) | |||||||
\(878\) | 20.8777 | − | 12.0538i | 0.704589 | − | 0.406795i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −9.10202 | + | 21.2280i | −0.306829 | + | 0.715597i | ||||
\(881\) | −49.9929 | −1.68431 | −0.842153 | − | 0.539239i | \(-0.818712\pi\) | ||||
−0.842153 | + | 0.539239i | \(0.818712\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 44.3095i | 1.49113i | 0.666432 | + | 0.745566i | \(0.267821\pi\) | ||||
−0.666432 | + | 0.745566i | \(0.732179\pi\) | |||||||
\(884\) | 3.91515 | − | 6.78124i | 0.131681 | − | 0.228078i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 25.7149 | + | 44.5395i | 0.863909 | + | 1.49633i | ||||
\(887\) | 8.91878 | + | 5.14926i | 0.299463 | + | 0.172895i | 0.642202 | − | 0.766536i | \(-0.278021\pi\) |
−0.342738 | + | 0.939431i | \(0.611354\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 9.70339 | − | 21.3671i | 0.325441 | − | 0.716630i | ||||
\(890\) | 0.291470 | + | 2.44739i | 0.00977010 | + | 0.0820366i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 25.5685 | − | 14.7620i | 0.856096 | − | 0.494267i | ||||
\(893\) | 16.3554 | − | 9.44278i | 0.547312 | − | 0.315991i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −34.9391 | + | 4.16105i | −1.16788 | + | 0.139089i | ||||
\(896\) | −16.5716 | − | 23.1675i | −0.553618 | − | 0.773973i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 36.1512 | + | 20.8719i | 1.20638 | + | 0.696504i | ||||
\(899\) | 5.84369 | + | 10.1216i | 0.194898 | + | 0.337573i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 10.5573 | − | 18.2858i | 0.351715 | − | 0.609188i | ||||
\(902\) | 29.5896i | 0.985227i | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −14.9423 | −0.496972 | ||||||||
\(905\) | −4.39438 | + | 10.2487i | −0.146074 | + | 0.340679i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −25.4854 | + | 14.7140i | −0.846228 | + | 0.488570i | −0.859376 | − | 0.511344i | \(-0.829148\pi\) |
0.0131487 | + | 0.999914i | \(0.495815\pi\) | |||||||
\(908\) | 24.0718 | + | 13.8979i | 0.798850 | + | 0.461216i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 7.06669 | + | 32.2282i | 0.234258 | + | 1.06836i | ||||
\(911\) | 24.8078 | 0.821918 | 0.410959 | − | 0.911654i | \(-0.365194\pi\) | ||||
0.410959 | + | 0.911654i | \(0.365194\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 15.7526 | − | 9.09474i | 0.521334 | − | 0.300992i | ||||
\(914\) | 26.9810 | + | 46.7324i | 0.892451 | + | 1.54577i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0.477133 | 0.0157649 | ||||||||
\(917\) | 11.4944 | − | 8.22189i | 0.379580 | − | 0.271511i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 6.50466 | − | 11.2664i | 0.214569 | − | 0.371645i | −0.738570 | − | 0.674177i | \(-0.764499\pi\) |
0.953139 | + | 0.302532i | \(0.0978320\pi\) | |||||||
\(920\) | −10.9077 | − | 14.5851i | −0.359617 | − | 0.480857i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 10.8346 | + | 6.25535i | 0.356818 | + | 0.206009i | ||||
\(923\) | 47.0312i | 1.54805i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −4.12785 | − | 17.0843i | −0.135723 | − | 0.561730i | ||||
\(926\) | −2.64864 | + | 4.58758i | −0.0870398 | + | 0.150757i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −20.5494 | + | 11.8642i | −0.674568 | + | 0.389462i | ||||
\(929\) | −12.4592 | + | 21.5800i | −0.408775 | + | 0.708018i | −0.994753 | − | 0.102309i | \(-0.967377\pi\) |
0.585978 | + | 0.810327i | \(0.300710\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −53.1405 | + | 10.4756i | −1.74161 | + | 0.343326i | ||||
\(932\) | − | 8.41410i | − | 0.275613i | ||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −21.1615 | − | 36.6528i | −0.692425 | − | 1.19932i | ||||
\(935\) | 7.92858 | − | 5.92952i | 0.259292 | − | 0.193916i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 55.1260i | − | 1.80089i | −0.434973 | − | 0.900444i | \(-0.643242\pi\) | ||
0.434973 | − | 0.900444i | \(-0.356758\pi\) | |||||||
\(938\) | −16.4786 | − | 7.48337i | −0.538044 | − | 0.244341i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −5.89028 | − | 2.52560i | −0.192120 | − | 0.0823760i | ||||
\(941\) | 6.82233 | + | 11.8166i | 0.222402 | + | 0.385211i | 0.955537 | − | 0.294872i | \(-0.0952771\pi\) |
−0.733135 | + | 0.680083i | \(0.761944\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −38.3122 | − | 22.1196i | −1.24762 | − | 0.720312i | ||||
\(944\) | −14.6899 | −0.478116 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −18.4802 | −0.600842 | ||||||||
\(947\) | −0.773437 | − | 0.446544i | −0.0251333 | − | 0.0145107i | 0.487381 | − | 0.873190i | \(-0.337952\pi\) |
−0.512514 | + | 0.858679i | \(0.671286\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −13.3875 | − | 23.1878i | −0.434577 | − | 0.752709i | ||||
\(950\) | 66.1184 | + | 19.4807i | 2.14517 | + | 0.632038i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0.805627 | + | 8.25215i | 0.0261105 | + | 0.267454i | ||||
\(953\) | 34.5636i | 1.11963i | 0.828619 | + | 0.559813i | \(0.189127\pi\) | ||||
−0.828619 | + | 0.559813i | \(0.810873\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −15.8138 | − | 21.1452i | −0.511722 | − | 0.684241i | ||||
\(956\) | 5.92557 | + | 10.2634i | 0.191646 | + | 0.331941i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 11.6595i | 0.376703i | ||||||||
\(959\) | −34.5057 | + | 3.36866i | −1.11425 | + | 0.108780i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 11.2605 | − | 19.5037i | 0.363241 | − | 0.629151i | ||||
\(962\) | −16.9777 | + | 9.80208i | −0.547383 | + | 0.316032i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −2.70483 | + | 4.68491i | −0.0871169 | + | 0.150891i | ||||
\(965\) | −6.54159 | − | 54.9278i | −0.210581 | − | 1.76819i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 22.1811i | 0.713296i | 0.934239 | + | 0.356648i | \(0.116080\pi\) | ||||
−0.934239 | + | 0.356648i | \(0.883920\pi\) | |||||||
\(968\) | −8.51038 | − | 4.91347i | −0.273534 | − | 0.157925i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0.708259 | + | 0.947038i | 0.0227408 | + | 0.0304076i | ||||
\(971\) | 0.0379659 | − | 0.0657589i | 0.00121839 | − | 0.00211031i | −0.865416 | − | 0.501055i | \(-0.832946\pi\) |
0.866634 | + | 0.498944i | \(0.166279\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −0.585779 | − | 0.266018i | −0.0187792 | − | 0.00852815i | ||||
\(974\) | −29.0889 | −0.932069 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −27.0710 | − | 46.8883i | −0.866521 | − | 1.50086i | ||||
\(977\) | 37.4222 | − | 21.6057i | 1.19724 | − | 0.691228i | 0.237303 | − | 0.971436i | \(-0.423737\pi\) |
0.959940 | + | 0.280207i | \(0.0904032\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1.28588 | 0.0410970 | ||||||||
\(980\) | 13.6472 | + | 12.3125i | 0.435945 | + | 0.393307i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −38.4211 | − | 22.1824i | −1.22607 | − | 0.707869i | ||||
\(983\) | −15.8663 | + | 9.16040i | −0.506055 | + | 0.292171i | −0.731211 | − | 0.682152i | \(-0.761044\pi\) |
0.225155 | + | 0.974323i | \(0.427711\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 40.1830 | + | 17.2294i | 1.28034 | + | 0.548974i | ||||
\(986\) | 15.2333 | 0.485126 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | − | 28.4418i | − | 0.904855i | ||||||
\(989\) | 13.8147 | − | 23.9278i | 0.439283 | − | 0.760861i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 15.7888 | + | 27.3470i | 0.501548 | + | 0.868706i | 0.999998 | + | 0.00178831i | \(0.000569236\pi\) |
−0.498450 | + | 0.866918i | \(0.666097\pi\) | |||||||
\(992\) | −14.9084 | − | 8.60736i | −0.473342 | − | 0.273284i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 41.2041 | + | 57.6045i | 1.30692 | + | 1.82710i | ||||
\(995\) | −49.3815 | + | 5.88106i | −1.56550 | + | 0.186442i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 34.4085 | − | 19.8657i | 1.08973 | − | 0.629154i | 0.156223 | − | 0.987722i | \(-0.450068\pi\) |
0.933504 | + | 0.358568i | \(0.116735\pi\) | |||||||
\(998\) | −18.8301 | + | 10.8716i | −0.596058 | + | 0.344134i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))