Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(112,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([5, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.112");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.m (of order \(20\), degree \(8\), 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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{20})\) |
Twist minimal: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 118.1 | ||
Character | \(\chi\) | \(=\) | 605.118 |
Dual form | 605.2.m.c.282.1 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{3}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.44791 | − | 0.229326i | −1.02382 | − | 0.162158i | −0.378129 | − | 0.925753i | \(-0.623432\pi\) |
−0.645695 | + | 0.763595i | \(0.723432\pi\) | |||||||
\(3\) | −0.377935 | + | 0.741739i | −0.218201 | + | 0.428243i | −0.973996 | − | 0.226565i | \(-0.927250\pi\) |
0.755795 | + | 0.654808i | \(0.227250\pi\) | |||||||
\(4\) | 0.141727 | + | 0.0460500i | 0.0708637 | + | 0.0230250i | ||||
\(5\) | 1.49572 | + | 1.66218i | 0.668905 | + | 0.743347i | ||||
\(6\) | 0.717314 | − | 0.987298i | 0.292842 | − | 0.403063i | ||||
\(7\) | −3.75588 | + | 1.91372i | −1.41959 | + | 0.723318i | −0.984223 | − | 0.176935i | \(-0.943382\pi\) |
−0.435368 | + | 0.900253i | \(0.643382\pi\) | |||||||
\(8\) | 2.41770 | + | 1.23188i | 0.854787 | + | 0.435536i | ||||
\(9\) | 1.35601 | + | 1.86639i | 0.452005 | + | 0.622131i | ||||
\(10\) | −1.78448 | − | 2.74968i | −0.564302 | − | 0.869525i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | −0.0877208 | + | 0.0877208i | −0.0253228 | + | 0.0253228i | ||||
\(13\) | −0.144808 | + | 0.914284i | −0.0401626 | + | 0.253577i | −0.999598 | − | 0.0283519i | \(-0.990974\pi\) |
0.959435 | + | 0.281929i | \(0.0909741\pi\) | |||||||
\(14\) | 5.87703 | − | 1.90956i | 1.57070 | − | 0.510352i | ||||
\(15\) | −1.79818 | + | 0.481238i | −0.464289 | + | 0.124255i | ||||
\(16\) | −3.45922 | − | 2.51327i | −0.864806 | − | 0.628318i | ||||
\(17\) | 0.301569 | + | 1.90403i | 0.0731413 | + | 0.461796i | 0.996891 | + | 0.0787982i | \(0.0251083\pi\) |
−0.923749 | + | 0.382998i | \(0.874892\pi\) | |||||||
\(18\) | −1.53537 | − | 3.01333i | −0.361890 | − | 0.710249i | ||||
\(19\) | −1.67851 | − | 5.16591i | −0.385076 | − | 1.18514i | −0.936425 | − | 0.350867i | \(-0.885887\pi\) |
0.551350 | − | 0.834274i | \(-0.314113\pi\) | |||||||
\(20\) | 0.135441 | + | 0.304454i | 0.0302855 | + | 0.0680779i | ||||
\(21\) | − | 3.50915i | − | 0.765758i | ||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 1.95998 | + | 1.95998i | 0.408685 | + | 0.408685i | 0.881280 | − | 0.472595i | \(-0.156683\pi\) |
−0.472595 | + | 0.881280i | \(0.656683\pi\) | |||||||
\(24\) | −1.82747 | + | 1.32773i | −0.373030 | + | 0.271022i | ||||
\(25\) | −0.525654 | + | 4.97229i | −0.105131 | + | 0.994458i | ||||
\(26\) | 0.419337 | − | 1.29059i | 0.0822388 | − | 0.253105i | ||||
\(27\) | −4.36353 | + | 0.691116i | −0.839762 | + | 0.133005i | ||||
\(28\) | −0.620439 | + | 0.0982678i | −0.117252 | + | 0.0185709i | ||||
\(29\) | 0.309582 | − | 0.952796i | 0.0574880 | − | 0.176930i | −0.918189 | − | 0.396142i | \(-0.870349\pi\) |
0.975677 | + | 0.219212i | \(0.0703488\pi\) | |||||||
\(30\) | 2.71396 | − | 0.284418i | 0.495499 | − | 0.0519273i | ||||
\(31\) | −0.342979 | + | 0.249189i | −0.0616008 | + | 0.0447556i | −0.618160 | − | 0.786053i | \(-0.712121\pi\) |
0.556559 | + | 0.830808i | \(0.312121\pi\) | |||||||
\(32\) | 0.594873 | + | 0.594873i | 0.105160 | + | 0.105160i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | − | 2.82602i | − | 0.484658i | ||||||
\(35\) | −8.79868 | − | 3.38055i | −1.48725 | − | 0.571418i | ||||
\(36\) | 0.106237 | + | 0.326964i | 0.0177061 | + | 0.0544939i | ||||
\(37\) | −2.23953 | − | 4.39533i | −0.368177 | − | 0.722588i | 0.630380 | − | 0.776287i | \(-0.282899\pi\) |
−0.998557 | + | 0.0536986i | \(0.982899\pi\) | |||||||
\(38\) | 1.24564 | + | 7.86468i | 0.202070 | + | 1.27582i | ||||
\(39\) | −0.623432 | − | 0.452950i | −0.0998290 | − | 0.0725300i | ||||
\(40\) | 1.56860 | + | 5.86119i | 0.248017 | + | 0.926736i | ||||
\(41\) | 0.549205 | − | 0.178448i | 0.0857715 | − | 0.0278688i | −0.265817 | − | 0.964024i | \(-0.585642\pi\) |
0.351588 | + | 0.936155i | \(0.385642\pi\) | |||||||
\(42\) | −0.804737 | + | 5.08091i | −0.124174 | + | 0.784002i | ||||
\(43\) | −5.05373 | + | 5.05373i | −0.770687 | + | 0.770687i | −0.978227 | − | 0.207540i | \(-0.933454\pi\) |
0.207540 | + | 0.978227i | \(0.433454\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.07406 | + | 5.04553i | −0.160111 | + | 0.752143i | ||||
\(46\) | −2.38840 | − | 3.28735i | −0.352150 | − | 0.484693i | ||||
\(47\) | 1.05994 | + | 0.540066i | 0.154608 | + | 0.0787767i | 0.529583 | − | 0.848258i | \(-0.322349\pi\) |
−0.374975 | + | 0.927035i | \(0.622349\pi\) | |||||||
\(48\) | 3.17155 | − | 1.61599i | 0.457774 | − | 0.233248i | ||||
\(49\) | 6.32985 | − | 8.71229i | 0.904264 | − | 1.24461i | ||||
\(50\) | 1.90137 | − | 7.07886i | 0.268895 | − | 1.00110i | ||||
\(51\) | −1.52627 | − | 0.495915i | −0.213720 | − | 0.0694420i | ||||
\(52\) | −0.0626261 | + | 0.122911i | −0.00868468 | + | 0.0170446i | ||||
\(53\) | −8.96976 | − | 1.42067i | −1.23209 | − | 0.195144i | −0.493769 | − | 0.869593i | \(-0.664381\pi\) |
−0.738321 | + | 0.674449i | \(0.764381\pi\) | |||||||
\(54\) | 6.47647 | 0.881337 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −11.4381 | −1.52848 | ||||||||
\(57\) | 4.46612 | + | 0.707364i | 0.591553 | + | 0.0936927i | ||||
\(58\) | −0.666746 | + | 1.30856i | −0.0875481 | + | 0.171823i | ||||
\(59\) | −8.85410 | − | 2.87687i | −1.15271 | − | 0.374537i | −0.330544 | − | 0.943791i | \(-0.607232\pi\) |
−0.822162 | + | 0.569254i | \(0.807232\pi\) | |||||||
\(60\) | −0.277013 | − | 0.0146018i | −0.0357622 | − | 0.00188508i | ||||
\(61\) | −4.57402 | + | 6.29560i | −0.585644 | + | 0.806069i | −0.994300 | − | 0.106619i | \(-0.965998\pi\) |
0.408656 | + | 0.912688i | \(0.365998\pi\) | |||||||
\(62\) | 0.553746 | − | 0.282148i | 0.0703258 | − | 0.0358328i | ||||
\(63\) | −8.66478 | − | 4.41493i | −1.09166 | − | 0.556228i | ||||
\(64\) | 4.30165 | + | 5.92071i | 0.537706 | + | 0.740088i | ||||
\(65\) | −1.73629 | + | 1.12681i | −0.215361 | + | 0.139764i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.05526 | + | 3.05526i | −0.373259 | + | 0.373259i | −0.868663 | − | 0.495404i | \(-0.835020\pi\) |
0.495404 | + | 0.868663i | \(0.335020\pi\) | |||||||
\(68\) | −0.0449401 | + | 0.283741i | −0.00544979 | + | 0.0344086i | ||||
\(69\) | −2.19454 | + | 0.713050i | −0.264192 | + | 0.0858412i | ||||
\(70\) | 11.9644 | + | 6.91249i | 1.43002 | + | 0.826200i | ||||
\(71\) | −6.95054 | − | 5.04987i | −0.824878 | − | 0.599309i | 0.0932277 | − | 0.995645i | \(-0.470282\pi\) |
−0.918106 | + | 0.396336i | \(0.870282\pi\) | |||||||
\(72\) | 0.979264 | + | 6.18283i | 0.115407 | + | 0.728653i | ||||
\(73\) | 2.47897 | + | 4.86525i | 0.290142 | + | 0.569435i | 0.989363 | − | 0.145471i | \(-0.0464696\pi\) |
−0.699221 | + | 0.714906i | \(0.746470\pi\) | |||||||
\(74\) | 2.23467 | + | 6.87761i | 0.259775 | + | 0.799506i | ||||
\(75\) | −3.48948 | − | 2.26910i | −0.402930 | − | 0.262013i | ||||
\(76\) | − | 0.809447i | − | 0.0928499i | ||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0.798797 | + | 0.798797i | 0.0904460 | + | 0.0904460i | ||||
\(79\) | −1.84797 | + | 1.34263i | −0.207913 | + | 0.151057i | −0.686869 | − | 0.726781i | \(-0.741015\pi\) |
0.478956 | + | 0.877839i | \(0.341015\pi\) | |||||||
\(80\) | −0.996523 | − | 9.50898i | −0.111415 | − | 1.06314i | ||||
\(81\) | −1.00219 | + | 3.08443i | −0.111355 | + | 0.342715i | ||||
\(82\) | −0.836120 | + | 0.132428i | −0.0923340 | + | 0.0146243i | ||||
\(83\) | −1.96420 | + | 0.311099i | −0.215599 | + | 0.0341476i | −0.263300 | − | 0.964714i | \(-0.584811\pi\) |
0.0477002 | + | 0.998862i | \(0.484811\pi\) | |||||||
\(84\) | 0.161596 | − | 0.497342i | 0.0176316 | − | 0.0542645i | ||||
\(85\) | −2.71377 | + | 3.34916i | −0.294350 | + | 0.363267i | ||||
\(86\) | 8.47628 | − | 6.15838i | 0.914020 | − | 0.664075i | ||||
\(87\) | 0.589724 | + | 0.589724i | 0.0632250 | + | 0.0632250i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | − | 13.9313i | − | 1.47671i | −0.674410 | − | 0.738357i | \(-0.735602\pi\) | ||
0.674410 | − | 0.738357i | \(-0.264398\pi\) | |||||||
\(90\) | 2.71220 | − | 7.05914i | 0.285891 | − | 0.744099i | ||||
\(91\) | −1.20580 | − | 3.71107i | −0.126402 | − | 0.389025i | ||||
\(92\) | 0.187526 | + | 0.368041i | 0.0195510 | + | 0.0383709i | ||||
\(93\) | −0.0552093 | − | 0.348578i | −0.00572494 | − | 0.0361458i | ||||
\(94\) | −1.41084 | − | 1.02504i | −0.145517 | − | 0.105724i | ||||
\(95\) | 6.07608 | − | 10.5167i | 0.623392 | − | 1.07899i | ||||
\(96\) | −0.666063 | + | 0.216417i | −0.0679798 | + | 0.0220880i | ||||
\(97\) | 0.520041 | − | 3.28341i | 0.0528021 | − | 0.333379i | −0.947120 | − | 0.320880i | \(-0.896021\pi\) |
0.999922 | − | 0.0124992i | \(-0.00397872\pi\) | |||||||
\(98\) | −11.1630 | + | 11.1630i | −1.12763 | + | 1.12763i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.303474 | + | 0.680504i | −0.0303474 | + | 0.0680504i | ||||
\(101\) | 7.81220 | + | 10.7526i | 0.777343 | + | 1.06992i | 0.995570 | + | 0.0940226i | \(0.0299726\pi\) |
−0.218227 | + | 0.975898i | \(0.570027\pi\) | |||||||
\(102\) | 2.09617 | + | 1.06805i | 0.207551 | + | 0.105753i | ||||
\(103\) | 8.98346 | − | 4.57730i | 0.885167 | − | 0.451015i | 0.0485610 | − | 0.998820i | \(-0.484536\pi\) |
0.836606 | + | 0.547805i | \(0.184536\pi\) | |||||||
\(104\) | −1.47639 | + | 2.03208i | −0.144772 | + | 0.199262i | ||||
\(105\) | 5.83282 | − | 5.24869i | 0.569225 | − | 0.512220i | ||||
\(106\) | 12.6616 | + | 4.11399i | 1.22980 | + | 0.399586i | ||||
\(107\) | −2.79962 | + | 5.49455i | −0.270649 | + | 0.531179i | −0.985827 | − | 0.167763i | \(-0.946346\pi\) |
0.715178 | + | 0.698942i | \(0.246346\pi\) | |||||||
\(108\) | −0.650258 | − | 0.102991i | −0.0625711 | − | 0.00991029i | ||||
\(109\) | 19.9193 | 1.90793 | 0.953964 | − | 0.299922i | \(-0.0969607\pi\) | ||||
0.953964 | + | 0.299922i | \(0.0969607\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 4.10659 | 0.389780 | ||||||||
\(112\) | 17.8021 | + | 2.81958i | 1.68214 | + | 0.266425i | ||||
\(113\) | −5.50334 | + | 10.8009i | −0.517711 | + | 1.01607i | 0.473125 | + | 0.880995i | \(0.343126\pi\) |
−0.990836 | + | 0.135070i | \(0.956874\pi\) | |||||||
\(114\) | −6.30431 | − | 2.04839i | −0.590453 | − | 0.191850i | ||||
\(115\) | −0.326254 | + | 6.18942i | −0.0304233 | + | 0.577167i | ||||
\(116\) | 0.0877525 | − | 0.120781i | 0.00814762 | − | 0.0112142i | ||||
\(117\) | −1.90277 | + | 0.969512i | −0.175912 | + | 0.0896314i | ||||
\(118\) | 12.1602 | + | 6.19591i | 1.11943 | + | 0.570380i | ||||
\(119\) | −4.77644 | − | 6.57421i | −0.437856 | − | 0.602657i | ||||
\(120\) | −4.94030 | − | 1.05166i | −0.450986 | − | 0.0960028i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 8.06650 | − | 8.06650i | 0.730306 | − | 0.730306i | ||||
\(123\) | −0.0752023 | + | 0.474809i | −0.00678076 | + | 0.0428120i | ||||
\(124\) | −0.0600846 | + | 0.0195227i | −0.00539576 | + | 0.00175319i | ||||
\(125\) | −9.05105 | + | 6.56342i | −0.809551 | + | 0.587050i | ||||
\(126\) | 11.5333 | + | 8.37945i | 1.02747 | + | 0.746501i | ||||
\(127\) | −0.181391 | − | 1.14526i | −0.0160958 | − | 0.101625i | 0.978333 | − | 0.207040i | \(-0.0663830\pi\) |
−0.994428 | + | 0.105415i | \(0.966383\pi\) | |||||||
\(128\) | −5.63447 | − | 11.0583i | −0.498021 | − | 0.977422i | ||||
\(129\) | −1.83857 | − | 5.65853i | −0.161877 | − | 0.498206i | ||||
\(130\) | 2.77239 | − | 1.23334i | 0.243155 | − | 0.108171i | ||||
\(131\) | − | 14.4532i | − | 1.26278i | −0.775465 | − | 0.631390i | \(-0.782485\pi\) | ||
0.775465 | − | 0.631390i | \(-0.217515\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 16.1904 | + | 16.1904i | 1.40388 | + | 1.40388i | ||||
\(134\) | 5.12438 | − | 3.72308i | 0.442679 | − | 0.321625i | ||||
\(135\) | −7.67537 | − | 6.21924i | −0.660591 | − | 0.535267i | ||||
\(136\) | −1.61644 | + | 4.97488i | −0.138608 | + | 0.426592i | ||||
\(137\) | 12.2194 | − | 1.93536i | 1.04397 | − | 0.165349i | 0.389182 | − | 0.921161i | \(-0.372758\pi\) |
0.654789 | + | 0.755812i | \(0.272758\pi\) | |||||||
\(138\) | 3.34101 | − | 0.529164i | 0.284406 | − | 0.0450455i | ||||
\(139\) | −0.311916 | + | 0.959978i | −0.0264563 | + | 0.0814242i | −0.963413 | − | 0.268022i | \(-0.913630\pi\) |
0.936957 | + | 0.349446i | \(0.113630\pi\) | |||||||
\(140\) | −1.09134 | − | 0.884297i | −0.0922350 | − | 0.0747367i | ||||
\(141\) | −0.801176 | + | 0.582089i | −0.0674712 | + | 0.0490207i | ||||
\(142\) | 8.90567 | + | 8.90567i | 0.747347 | + | 0.747347i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | − | 9.86430i | − | 0.822025i | ||||||
\(145\) | 2.04676 | − | 0.910534i | 0.169974 | − | 0.0756157i | ||||
\(146\) | −2.47359 | − | 7.61292i | −0.204716 | − | 0.630050i | ||||
\(147\) | 4.06997 | + | 7.98777i | 0.335686 | + | 0.658820i | ||||
\(148\) | −0.114998 | − | 0.726069i | −0.00945279 | − | 0.0596825i | ||||
\(149\) | 0.987462 | + | 0.717433i | 0.0808961 | + | 0.0587744i | 0.627498 | − | 0.778618i | \(-0.284079\pi\) |
−0.546602 | + | 0.837392i | \(0.684079\pi\) | |||||||
\(150\) | 4.53207 | + | 4.08567i | 0.370042 | + | 0.333594i | ||||
\(151\) | 1.50909 | − | 0.490333i | 0.122808 | − | 0.0399027i | −0.246968 | − | 0.969024i | \(-0.579434\pi\) |
0.369776 | + | 0.929121i | \(0.379434\pi\) | |||||||
\(152\) | 2.30566 | − | 14.5574i | 0.187014 | − | 1.18076i | ||||
\(153\) | −3.14474 | + | 3.14474i | −0.254237 | + | 0.254237i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.927195 | − | 0.197375i | −0.0744741 | − | 0.0158535i | ||||
\(156\) | −0.0674990 | − | 0.0929044i | −0.00540425 | − | 0.00743831i | ||||
\(157\) | −6.61053 | − | 3.36823i | −0.527578 | − | 0.268814i | 0.169849 | − | 0.985470i | \(-0.445672\pi\) |
−0.697427 | + | 0.716656i | \(0.745672\pi\) | |||||||
\(158\) | 2.98358 | − | 1.52021i | 0.237361 | − | 0.120942i | ||||
\(159\) | 4.44375 | − | 6.11630i | 0.352412 | − | 0.485054i | ||||
\(160\) | −0.0990209 | + | 1.87854i | −0.00782829 | + | 0.148512i | ||||
\(161\) | −11.1123 | − | 3.61062i | −0.875775 | − | 0.284556i | ||||
\(162\) | 2.15842 | − | 4.23614i | 0.169581 | − | 0.332822i | ||||
\(163\) | 15.2191 | + | 2.41047i | 1.19205 | + | 0.188803i | 0.720767 | − | 0.693177i | \(-0.243790\pi\) |
0.471287 | + | 0.881980i | \(0.343790\pi\) | |||||||
\(164\) | 0.0860550 | 0.00671976 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.91533 | 0.226273 | ||||||||
\(167\) | 4.09907 | + | 0.649228i | 0.317195 | + | 0.0502388i | 0.313002 | − | 0.949752i | \(-0.398665\pi\) |
0.00419313 | + | 0.999991i | \(0.498665\pi\) | |||||||
\(168\) | 4.32285 | − | 8.48407i | 0.333515 | − | 0.654560i | ||||
\(169\) | 11.5488 | + | 3.75243i | 0.888368 | + | 0.288648i | ||||
\(170\) | 4.69734 | − | 4.22693i | 0.360269 | − | 0.324190i | ||||
\(171\) | 7.36554 | − | 10.1378i | 0.563257 | − | 0.775257i | ||||
\(172\) | −0.948977 | + | 0.483528i | −0.0723588 | + | 0.0368687i | ||||
\(173\) | −3.85782 | − | 1.96566i | −0.293305 | − | 0.149446i | 0.301146 | − | 0.953578i | \(-0.402631\pi\) |
−0.594451 | + | 0.804132i | \(0.702631\pi\) | |||||||
\(174\) | −0.718626 | − | 0.989103i | −0.0544789 | − | 0.0749837i | ||||
\(175\) | −7.54127 | − | 19.6813i | −0.570066 | − | 1.48777i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 5.48016 | − | 5.48016i | 0.411914 | − | 0.411914i | ||||
\(178\) | −3.19480 | + | 20.1712i | −0.239461 | + | 1.51190i | ||||
\(179\) | 3.53755 | − | 1.14942i | 0.264409 | − | 0.0859116i | −0.173812 | − | 0.984779i | \(-0.555609\pi\) |
0.438221 | + | 0.898867i | \(0.355609\pi\) | |||||||
\(180\) | −0.384570 | + | 0.665630i | −0.0286642 | + | 0.0496131i | ||||
\(181\) | −4.89177 | − | 3.55408i | −0.363603 | − | 0.264173i | 0.390951 | − | 0.920412i | \(-0.372146\pi\) |
−0.754553 | + | 0.656239i | \(0.772146\pi\) | |||||||
\(182\) | 0.894839 | + | 5.64979i | 0.0663299 | + | 0.418791i | ||||
\(183\) | −2.94101 | − | 5.77206i | −0.217406 | − | 0.426683i | ||||
\(184\) | 2.32419 | + | 7.15313i | 0.171342 | + | 0.527335i | ||||
\(185\) | 3.95610 | − | 10.2967i | 0.290858 | − | 0.757026i | ||||
\(186\) | 0.517369i | 0.0379353i | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 0.125352 | + | 0.125352i | 0.00914227 | + | 0.00914227i | ||||
\(189\) | 15.0663 | − | 10.9463i | 1.09591 | − | 0.796228i | ||||
\(190\) | −11.2093 | + | 13.8338i | −0.813211 | + | 1.00361i | ||||
\(191\) | −5.11566 | + | 15.7444i | −0.370156 | + | 1.13922i | 0.576532 | + | 0.817074i | \(0.304405\pi\) |
−0.946689 | + | 0.322150i | \(0.895595\pi\) | |||||||
\(192\) | −6.01736 | + | 0.953056i | −0.434266 | + | 0.0687809i | ||||
\(193\) | −16.7553 | + | 2.65377i | −1.20607 | + | 0.191023i | −0.726928 | − | 0.686714i | \(-0.759052\pi\) |
−0.479143 | + | 0.877737i | \(0.659052\pi\) | |||||||
\(194\) | −1.50594 | + | 4.63481i | −0.108120 | + | 0.332760i | ||||
\(195\) | −0.179596 | − | 1.71374i | −0.0128612 | − | 0.122723i | ||||
\(196\) | 1.29831 | − | 0.943281i | 0.0927367 | − | 0.0673772i | ||||
\(197\) | 9.63624 | + | 9.63624i | 0.686554 | + | 0.686554i | 0.961469 | − | 0.274915i | \(-0.0886496\pi\) |
−0.274915 | + | 0.961469i | \(0.588650\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 19.4166i | 1.37640i | 0.725519 | + | 0.688202i | \(0.241600\pi\) | ||||
−0.725519 | + | 0.688202i | \(0.758400\pi\) | |||||||
\(200\) | −7.39615 | + | 11.3740i | −0.522986 | + | 0.804261i | ||||
\(201\) | −1.11152 | − | 3.42089i | −0.0784003 | − | 0.241291i | ||||
\(202\) | −8.84549 | − | 17.3602i | −0.622366 | − | 1.22146i | ||||
\(203\) | 0.660628 | + | 4.17104i | 0.0463670 | + | 0.292750i | ||||
\(204\) | −0.193477 | − | 0.140569i | −0.0135461 | − | 0.00984183i | ||||
\(205\) | 1.11807 | + | 0.645968i | 0.0780892 | + | 0.0451164i | ||||
\(206\) | −14.0569 | + | 4.56736i | −0.979391 | + | 0.318223i | ||||
\(207\) | −1.00034 | + | 6.31587i | −0.0695281 | + | 0.438983i | ||||
\(208\) | 2.79877 | − | 2.79877i | 0.194060 | − | 0.194060i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −9.64903 | + | 6.26200i | −0.665846 | + | 0.432119i | ||||
\(211\) | −3.75651 | − | 5.17039i | −0.258608 | − | 0.355944i | 0.659894 | − | 0.751358i | \(-0.270601\pi\) |
−0.918503 | + | 0.395414i | \(0.870601\pi\) | |||||||
\(212\) | −1.20584 | − | 0.614405i | −0.0828173 | − | 0.0421975i | ||||
\(213\) | 6.37254 | − | 3.24697i | 0.436639 | − | 0.222479i | ||||
\(214\) | 5.31362 | − | 7.31357i | 0.363232 | − | 0.499946i | ||||
\(215\) | −15.9591 | − | 0.841230i | −1.08840 | − | 0.0573714i | ||||
\(216\) | −11.4011 | − | 3.70444i | −0.775746 | − | 0.252055i | ||||
\(217\) | 0.811311 | − | 1.59229i | 0.0550754 | − | 0.108092i | ||||
\(218\) | −28.8413 | − | 4.56802i | −1.95338 | − | 0.309385i | ||||
\(219\) | −4.54564 | −0.307166 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −1.78450 | −0.120038 | ||||||||
\(222\) | −5.94595 | − | 0.941746i | −0.399066 | − | 0.0632058i | ||||
\(223\) | −6.44437 | + | 12.6478i | −0.431547 | + | 0.846958i | 0.568164 | + | 0.822915i | \(0.307654\pi\) |
−0.999711 | + | 0.0240429i | \(0.992346\pi\) | |||||||
\(224\) | −3.37269 | − | 1.09585i | −0.225347 | − | 0.0732198i | ||||
\(225\) | −9.99305 | + | 5.76142i | −0.666203 | + | 0.384095i | ||||
\(226\) | 10.4453 | − | 14.3767i | 0.694808 | − | 0.956321i | ||||
\(227\) | 7.37587 | − | 3.75819i | 0.489554 | − | 0.249440i | −0.191746 | − | 0.981445i | \(-0.561415\pi\) |
0.681300 | + | 0.732004i | \(0.261415\pi\) | |||||||
\(228\) | 0.600398 | + | 0.305918i | 0.0397623 | + | 0.0202599i | ||||
\(229\) | 11.5202 | + | 15.8563i | 0.761279 | + | 1.04781i | 0.997107 | + | 0.0760158i | \(0.0242199\pi\) |
−0.235828 | + | 0.971795i | \(0.575780\pi\) | |||||||
\(230\) | 1.89178 | − | 8.88688i | 0.124740 | − | 0.585984i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1.92221 | − | 1.92221i | 0.126199 | − | 0.126199i | ||||
\(233\) | 0.580864 | − | 3.66743i | 0.0380536 | − | 0.240261i | −0.961329 | − | 0.275404i | \(-0.911188\pi\) |
0.999382 | + | 0.0351424i | \(0.0111885\pi\) | |||||||
\(234\) | 2.97737 | − | 0.967407i | 0.194637 | − | 0.0632414i | ||||
\(235\) | 0.687686 | + | 2.56959i | 0.0448597 | + | 0.167622i | ||||
\(236\) | −1.12239 | − | 0.815463i | −0.0730613 | − | 0.0530821i | ||||
\(237\) | −0.297468 | − | 1.87814i | −0.0193226 | − | 0.121998i | ||||
\(238\) | 5.40820 | + | 10.6142i | 0.350562 | + | 0.688016i | ||||
\(239\) | −0.992845 | − | 3.05566i | −0.0642218 | − | 0.197654i | 0.913797 | − | 0.406171i | \(-0.133136\pi\) |
−0.978019 | + | 0.208517i | \(0.933136\pi\) | |||||||
\(240\) | 7.42980 | + | 2.85462i | 0.479592 | + | 0.184265i | ||||
\(241\) | 25.4119i | 1.63693i | 0.574559 | + | 0.818463i | \(0.305174\pi\) | ||||
−0.574559 | + | 0.818463i | \(0.694826\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −11.2809 | − | 11.2809i | −0.723671 | − | 0.723671i | ||||
\(244\) | −0.938177 | + | 0.681626i | −0.0600606 | + | 0.0436366i | ||||
\(245\) | 23.9490 | − | 2.50981i | 1.53005 | − | 0.160346i | ||||
\(246\) | 0.217772 | − | 0.670232i | 0.0138846 | − | 0.0427324i | ||||
\(247\) | 4.96617 | − | 0.786564i | 0.315990 | − | 0.0500479i | ||||
\(248\) | −1.13619 | + | 0.179955i | −0.0721482 | + | 0.0114272i | ||||
\(249\) | 0.511587 | − | 1.57450i | 0.0324205 | − | 0.0997800i | ||||
\(250\) | 14.6102 | − | 7.42757i | 0.924032 | − | 0.469761i | ||||
\(251\) | −13.1914 | + | 9.58411i | −0.832634 | + | 0.604944i | −0.920303 | − | 0.391206i | \(-0.872058\pi\) |
0.0876695 | + | 0.996150i | \(0.472058\pi\) | |||||||
\(252\) | −1.02473 | − | 1.02473i | −0.0645519 | − | 0.0645519i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 1.69982i | 0.106656i | ||||||||
\(255\) | −1.45857 | − | 3.27868i | −0.0913392 | − | 0.205319i | ||||
\(256\) | 1.09922 | + | 3.38304i | 0.0687011 | + | 0.211440i | ||||
\(257\) | −7.35648 | − | 14.4379i | −0.458884 | − | 0.900611i | −0.998284 | − | 0.0585613i | \(-0.981349\pi\) |
0.539399 | − | 0.842050i | \(-0.318651\pi\) | |||||||
\(258\) | 1.36443 | + | 8.61465i | 0.0849455 | + | 0.536325i | ||||
\(259\) | 16.8229 | + | 12.2225i | 1.04532 | + | 0.759470i | ||||
\(260\) | −0.297970 | + | 0.0797441i | −0.0184793 | + | 0.00494552i | ||||
\(261\) | 2.19809 | − | 0.714202i | 0.136058 | − | 0.0442080i | ||||
\(262\) | −3.31449 | + | 20.9268i | −0.204770 | + | 1.29286i | ||||
\(263\) | 0.677874 | − | 0.677874i | 0.0417995 | − | 0.0417995i | −0.685898 | − | 0.727698i | \(-0.740590\pi\) |
0.727698 | + | 0.685898i | \(0.240590\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −11.0548 | − | 17.0342i | −0.679092 | − | 1.04640i | ||||
\(266\) | −19.7293 | − | 27.1550i | −1.20968 | − | 1.66498i | ||||
\(267\) | 10.3334 | + | 5.26512i | 0.632393 | + | 0.322220i | ||||
\(268\) | −0.573709 | + | 0.292319i | −0.0350448 | + | 0.0178562i | ||||
\(269\) | −16.7071 | + | 22.9954i | −1.01865 | + | 1.40205i | −0.105505 | + | 0.994419i | \(0.533646\pi\) |
−0.913146 | + | 0.407633i | \(0.866354\pi\) | |||||||
\(270\) | 9.68698 | + | 10.7650i | 0.589531 | + | 0.655139i | ||||
\(271\) | 29.2449 | + | 9.50226i | 1.77650 | + | 0.577221i | 0.998685 | − | 0.0512672i | \(-0.0163260\pi\) |
0.777819 | + | 0.628488i | \(0.216326\pi\) | |||||||
\(272\) | 3.74216 | − | 7.34440i | 0.226902 | − | 0.445320i | ||||
\(273\) | 3.20835 | + | 0.508153i | 0.194178 | + | 0.0307548i | ||||
\(274\) | −18.1363 | −1.09565 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −0.343863 | −0.0206981 | ||||||||
\(277\) | −29.7773 | − | 4.71626i | −1.78914 | − | 0.283372i | −0.828264 | − | 0.560339i | \(-0.810671\pi\) |
−0.960880 | + | 0.276966i | \(0.910671\pi\) | |||||||
\(278\) | 0.671772 | − | 1.31843i | 0.0402902 | − | 0.0790740i | ||||
\(279\) | −0.930168 | − | 0.302230i | −0.0556877 | − | 0.0180940i | ||||
\(280\) | −17.1081 | − | 19.0121i | −1.02241 | − | 1.13619i | ||||
\(281\) | −5.00737 | + | 6.89206i | −0.298715 | + | 0.411146i | −0.931820 | − | 0.362920i | \(-0.881780\pi\) |
0.633106 | + | 0.774065i | \(0.281780\pi\) | |||||||
\(282\) | 1.29352 | − | 0.659079i | 0.0770277 | − | 0.0392476i | ||||
\(283\) | 8.50180 | + | 4.33188i | 0.505380 | + | 0.257504i | 0.688041 | − | 0.725672i | \(-0.258471\pi\) |
−0.182661 | + | 0.983176i | \(0.558471\pi\) | |||||||
\(284\) | −0.752536 | − | 1.03578i | −0.0446548 | − | 0.0614621i | ||||
\(285\) | 5.50430 | + | 8.48150i | 0.326046 | + | 0.502401i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −1.72125 | + | 1.72125i | −0.101602 | + | 0.101602i | ||||
\(288\) | −0.303611 | + | 1.91692i | −0.0178904 | + | 0.112956i | ||||
\(289\) | 12.6336 | − | 4.10489i | 0.743151 | − | 0.241464i | ||||
\(290\) | −3.17233 | + | 0.848993i | −0.186285 | + | 0.0498546i | ||||
\(291\) | 2.23889 | + | 1.62665i | 0.131246 | + | 0.0953558i | ||||
\(292\) | 0.127293 | + | 0.803697i | 0.00744926 | + | 0.0470328i | ||||
\(293\) | 1.04756 | + | 2.05595i | 0.0611992 | + | 0.120110i | 0.919580 | − | 0.392903i | \(-0.128529\pi\) |
−0.858381 | + | 0.513013i | \(0.828529\pi\) | |||||||
\(294\) | −4.06114 | − | 12.4989i | −0.236850 | − | 0.728950i | ||||
\(295\) | −8.46137 | − | 19.0201i | −0.492640 | − | 1.10739i | ||||
\(296\) | − | 13.3854i | − | 0.778013i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1.26523 | − | 1.26523i | −0.0732926 | − | 0.0732926i | ||||
\(299\) | −2.07580 | + | 1.50816i | −0.120047 | + | 0.0872191i | ||||
\(300\) | −0.390063 | − | 0.482284i | −0.0225203 | − | 0.0278447i | ||||
\(301\) | 9.30981 | − | 28.6526i | 0.536609 | − | 1.65151i | ||||
\(302\) | −2.29746 | + | 0.363883i | −0.132204 | + | 0.0209391i | ||||
\(303\) | −10.9281 | + | 1.73084i | −0.627803 | + | 0.0994342i | ||||
\(304\) | −7.17702 | + | 22.0886i | −0.411630 | + | 1.26687i | ||||
\(305\) | −17.3058 | + | 1.81362i | −0.990930 | + | 0.103847i | ||||
\(306\) | 5.27446 | − | 3.83212i | 0.301521 | − | 0.219068i | ||||
\(307\) | −12.4635 | − | 12.4635i | −0.711327 | − | 0.711327i | 0.255486 | − | 0.966813i | \(-0.417765\pi\) |
−0.966813 | + | 0.255486i | \(0.917765\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 8.39331i | 0.477479i | ||||||||
\(310\) | 1.29723 | + | 0.498410i | 0.0736776 | + | 0.0283078i | ||||
\(311\) | 4.67035 | + | 14.3738i | 0.264831 | + | 0.815066i | 0.991732 | + | 0.128324i | \(0.0409598\pi\) |
−0.726901 | + | 0.686742i | \(0.759040\pi\) | |||||||
\(312\) | −0.949292 | − | 1.86309i | −0.0537431 | − | 0.105477i | ||||
\(313\) | −4.08547 | − | 25.7947i | −0.230925 | − | 1.45800i | −0.781861 | − | 0.623453i | \(-0.785729\pi\) |
0.550936 | − | 0.834547i | \(-0.314271\pi\) | |||||||
\(314\) | 8.79900 | + | 6.39285i | 0.496556 | + | 0.360769i | ||||
\(315\) | −5.62169 | − | 21.0059i | −0.316746 | − | 1.18355i | ||||
\(316\) | −0.323736 | + | 0.105188i | −0.0182116 | + | 0.00591730i | ||||
\(317\) | −4.43136 | + | 27.9785i | −0.248890 | + | 1.57143i | 0.474036 | + | 0.880505i | \(0.342797\pi\) |
−0.722926 | + | 0.690925i | \(0.757203\pi\) | |||||||
\(318\) | −7.83675 | + | 7.83675i | −0.439463 | + | 0.439463i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −3.40720 | + | 16.0058i | −0.190469 | + | 0.894751i | ||||
\(321\) | −3.01745 | − | 4.15317i | −0.168418 | − | 0.231807i | ||||
\(322\) | 15.2616 | + | 7.77618i | 0.850496 | + | 0.433349i | ||||
\(323\) | 9.32988 | − | 4.75381i | 0.519128 | − | 0.264509i | ||||
\(324\) | −0.284076 | + | 0.390997i | −0.0157820 | + | 0.0217221i | ||||
\(325\) | −4.46997 | − | 1.20063i | −0.247949 | − | 0.0665988i | ||||
\(326\) | −21.4831 | − | 6.98027i | −1.18984 | − | 0.386602i | ||||
\(327\) | −7.52822 | + | 14.7750i | −0.416311 | + | 0.817057i | ||||
\(328\) | 1.54764 | + | 0.245122i | 0.0854542 | + | 0.0135346i | ||||
\(329\) | −5.01454 | −0.276461 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −24.6455 | −1.35464 | −0.677319 | − | 0.735690i | \(-0.736858\pi\) | ||||
−0.677319 | + | 0.735690i | \(0.736858\pi\) | |||||||
\(332\) | −0.292708 | − | 0.0463604i | −0.0160644 | − | 0.00254436i | ||||
\(333\) | 5.16658 | − | 10.1400i | 0.283127 | − | 0.555667i | ||||
\(334\) | −5.78618 | − | 1.88004i | −0.316606 | − | 0.102871i | ||||
\(335\) | −9.64819 | − | 0.508570i | −0.527137 | − | 0.0277862i | ||||
\(336\) | −8.81944 | + | 12.1389i | −0.481140 | + | 0.662232i | ||||
\(337\) | −27.6353 | + | 14.0809i | −1.50539 | + | 0.767035i | −0.995639 | − | 0.0932862i | \(-0.970263\pi\) |
−0.509752 | + | 0.860321i | \(0.670263\pi\) | |||||||
\(338\) | −15.8610 | − | 8.08160i | −0.862726 | − | 0.439581i | ||||
\(339\) | −5.93156 | − | 8.16409i | −0.322158 | − | 0.443413i | ||||
\(340\) | −0.538845 | + | 0.349698i | −0.0292230 | + | 0.0189650i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −12.9895 | + | 12.9895i | −0.702390 | + | 0.702390i | ||||
\(343\) | −2.48535 | + | 15.6919i | −0.134196 | + | 0.847282i | ||||
\(344\) | −18.4440 | + | 5.99282i | −0.994434 | + | 0.323111i | ||||
\(345\) | −4.46763 | − | 2.58119i | −0.240529 | − | 0.138967i | ||||
\(346\) | 5.13499 | + | 3.73079i | 0.276059 | + | 0.200568i | ||||
\(347\) | −4.72209 | − | 29.8141i | −0.253495 | − | 1.60051i | −0.705646 | − | 0.708565i | \(-0.749343\pi\) |
0.452150 | − | 0.891942i | \(-0.350657\pi\) | |||||||
\(348\) | 0.0564232 | + | 0.110737i | 0.00302460 | + | 0.00593612i | ||||
\(349\) | 6.60284 | + | 20.3215i | 0.353442 | + | 1.08778i | 0.956907 | + | 0.290393i | \(0.0937862\pi\) |
−0.603465 | + | 0.797389i | \(0.706214\pi\) | |||||||
\(350\) | 6.40562 | + | 30.2261i | 0.342395 | + | 1.61565i | ||||
\(351\) | − | 4.08959i | − | 0.218286i | ||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −2.82626 | − | 2.82626i | −0.150427 | − | 0.150427i | 0.627882 | − | 0.778309i | \(-0.283922\pi\) |
−0.778309 | + | 0.627882i | \(0.783922\pi\) | |||||||
\(354\) | −9.19150 | + | 6.67801i | −0.488523 | + | 0.354932i | ||||
\(355\) | −2.00229 | − | 19.1062i | −0.106271 | − | 1.01405i | ||||
\(356\) | 0.641536 | − | 1.97445i | 0.0340014 | − | 0.104645i | ||||
\(357\) | 6.68153 | − | 1.05825i | 0.353624 | − | 0.0560085i | ||||
\(358\) | −5.38563 | + | 0.853000i | −0.284639 | + | 0.0450824i | ||||
\(359\) | −3.31893 | + | 10.2146i | −0.175167 | + | 0.539107i | −0.999641 | − | 0.0267919i | \(-0.991471\pi\) |
0.824474 | + | 0.565899i | \(0.191471\pi\) | |||||||
\(360\) | −8.81224 | + | 10.8755i | −0.464446 | + | 0.573188i | ||||
\(361\) | −8.49793 | + | 6.17411i | −0.447260 | + | 0.324953i | ||||
\(362\) | 6.26778 | + | 6.26778i | 0.329427 | + | 0.329427i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | − | 0.581487i | − | 0.0304782i | ||||||
\(365\) | −4.37906 | + | 11.3975i | −0.229211 | + | 0.596574i | ||||
\(366\) | 2.93462 | + | 9.03185i | 0.153395 | + | 0.472102i | ||||
\(367\) | 15.7100 | + | 30.8327i | 0.820057 | + | 1.60945i | 0.792531 | + | 0.609832i | \(0.208763\pi\) |
0.0275263 | + | 0.999621i | \(0.491237\pi\) | |||||||
\(368\) | −1.85405 | − | 11.7060i | −0.0966489 | − | 0.610217i | ||||
\(369\) | 1.07778 | + | 0.783055i | 0.0561072 | + | 0.0407642i | ||||
\(370\) | −8.08935 | + | 14.0014i | −0.420545 | + | 0.727897i | ||||
\(371\) | 36.4081 | − | 11.8297i | 1.89022 | − | 0.614168i | ||||
\(372\) | 0.00822735 | − | 0.0519454i | 0.000426568 | − | 0.00269324i | ||||
\(373\) | 9.90454 | − | 9.90454i | 0.512838 | − | 0.512838i | −0.402557 | − | 0.915395i | \(-0.631879\pi\) |
0.915395 | + | 0.402557i | \(0.131879\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −1.44763 | − | 9.19406i | −0.0747555 | − | 0.474779i | ||||
\(376\) | 1.89732 | + | 2.61144i | 0.0978468 | + | 0.134675i | ||||
\(377\) | 0.826295 | + | 0.421019i | 0.0425564 | + | 0.0216836i | ||||
\(378\) | −24.3249 | + | 12.3941i | −1.25114 | + | 0.637486i | ||||
\(379\) | −15.5768 | + | 21.4396i | −0.800125 | + | 1.10128i | 0.192648 | + | 0.981268i | \(0.438292\pi\) |
−0.992773 | + | 0.120009i | \(0.961708\pi\) | |||||||
\(380\) | 1.34544 | − | 1.21070i | 0.0690197 | − | 0.0621078i | ||||
\(381\) | 0.918034 | + | 0.298287i | 0.0470323 | + | 0.0152817i | ||||
\(382\) | 11.0176 | − | 21.6232i | 0.563709 | − | 1.10634i | ||||
\(383\) | 23.7417 | + | 3.76032i | 1.21315 | + | 0.192143i | 0.730031 | − | 0.683414i | \(-0.239505\pi\) |
0.483115 | + | 0.875557i | \(0.339505\pi\) | |||||||
\(384\) | 10.3318 | 0.527243 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 24.8686 | 1.26578 | ||||||||
\(387\) | −16.2852 | − | 2.57932i | −0.827822 | − | 0.131114i | ||||
\(388\) | 0.224905 | − | 0.441401i | 0.0114178 | − | 0.0224087i | ||||
\(389\) | −7.17613 | − | 2.33167i | −0.363844 | − | 0.118220i | 0.121389 | − | 0.992605i | \(-0.461265\pi\) |
−0.485233 | + | 0.874385i | \(0.661265\pi\) | |||||||
\(390\) | −0.132966 | + | 2.52252i | −0.00673298 | + | 0.127733i | ||||
\(391\) | −3.14080 | + | 4.32295i | −0.158837 | + | 0.218621i | ||||
\(392\) | 26.0362 | − | 13.2661i | 1.31503 | − | 0.670039i | ||||
\(393\) | 10.7205 | + | 5.46236i | 0.540777 | + | 0.275540i | ||||
\(394\) | −11.7425 | − | 16.1622i | −0.591580 | − | 0.814240i | ||||
\(395\) | −4.99573 | − | 1.06346i | −0.251362 | − | 0.0535083i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 16.0995 | − | 16.0995i | 0.808008 | − | 0.808008i | −0.176324 | − | 0.984332i | \(-0.556421\pi\) |
0.984332 | + | 0.176324i | \(0.0564206\pi\) | |||||||
\(398\) | 4.45272 | − | 28.1133i | 0.223195 | − | 1.40919i | ||||
\(399\) | −18.1279 | + | 5.89012i | −0.907532 | + | 0.294875i | ||||
\(400\) | 14.3151 | − | 15.8792i | 0.715754 | − | 0.793958i | ||||
\(401\) | 19.5313 | + | 14.1903i | 0.975347 | + | 0.708631i | 0.956664 | − | 0.291194i | \(-0.0940526\pi\) |
0.0186833 | + | 0.999825i | \(0.494053\pi\) | |||||||
\(402\) | 0.824871 | + | 5.20803i | 0.0411408 | + | 0.259753i | ||||
\(403\) | −0.178163 | − | 0.349664i | −0.00887493 | − | 0.0174180i | ||||
\(404\) | 0.612047 | + | 1.88369i | 0.0304505 | + | 0.0937169i | ||||
\(405\) | −6.62586 | + | 2.94762i | −0.329242 | + | 0.146468i | ||||
\(406\) | − | 6.19078i | − | 0.307243i | ||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | −3.07915 | − | 3.07915i | −0.152441 | − | 0.152441i | ||||
\(409\) | 4.73749 | − | 3.44199i | 0.234254 | − | 0.170195i | −0.464466 | − | 0.885591i | \(-0.653754\pi\) |
0.698719 | + | 0.715396i | \(0.253754\pi\) | |||||||
\(410\) | −1.47072 | − | 1.19170i | −0.0726336 | − | 0.0588540i | ||||
\(411\) | −3.18259 | + | 9.79502i | −0.156986 | + | 0.483153i | ||||
\(412\) | 1.48399 | − | 0.235041i | 0.0731108 | − | 0.0115796i | ||||
\(413\) | 38.7605 | − | 6.13906i | 1.90728 | − | 0.302083i | ||||
\(414\) | 2.89678 | − | 8.91538i | 0.142369 | − | 0.438167i | ||||
\(415\) | −3.45500 | − | 2.79954i | −0.169599 | − | 0.137424i | ||||
\(416\) | −0.630025 | + | 0.457740i | −0.0308895 | + | 0.0224425i | ||||
\(417\) | −0.594169 | − | 0.594169i | −0.0290966 | − | 0.0290966i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 11.0599i | 0.540311i | 0.962817 | + | 0.270155i | \(0.0870751\pi\) | ||||
−0.962817 | + | 0.270155i | \(0.912925\pi\) | |||||||
\(420\) | 1.06837 | − | 0.475282i | 0.0521312 | − | 0.0231914i | ||||
\(421\) | 2.43291 | + | 7.48773i | 0.118573 | + | 0.364930i | 0.992675 | − | 0.120812i | \(-0.0385497\pi\) |
−0.874103 | + | 0.485741i | \(0.838550\pi\) | |||||||
\(422\) | 4.25336 | + | 8.34769i | 0.207050 | + | 0.406359i | ||||
\(423\) | 0.429317 | + | 2.71060i | 0.0208741 | + | 0.131794i | ||||
\(424\) | −19.9361 | − | 14.4844i | −0.968182 | − | 0.703426i | ||||
\(425\) | −9.62593 | + | 0.498627i | −0.466926 | + | 0.0241870i | ||||
\(426\) | −9.97144 | + | 3.23992i | −0.483118 | + | 0.156975i | ||||
\(427\) | 5.13149 | − | 32.3989i | 0.248330 | − | 1.56790i | ||||
\(428\) | −0.649807 | + | 0.649807i | −0.0314096 | + | 0.0314096i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 22.9144 | + | 4.87787i | 1.10503 | + | 0.235232i | ||||
\(431\) | 4.29257 | + | 5.90821i | 0.206766 | + | 0.284589i | 0.899788 | − | 0.436328i | \(-0.143721\pi\) |
−0.693022 | + | 0.720916i | \(0.743721\pi\) | |||||||
\(432\) | 16.8314 | + | 8.57602i | 0.809801 | + | 0.412614i | ||||
\(433\) | −4.49736 | + | 2.29152i | −0.216129 | + | 0.110123i | −0.558704 | − | 0.829367i | \(-0.688701\pi\) |
0.342574 | + | 0.939491i | \(0.388701\pi\) | |||||||
\(434\) | −1.53986 | + | 2.11943i | −0.0739154 | + | 0.101736i | ||||
\(435\) | −0.0981638 | + | 1.86229i | −0.00470660 | + | 0.0892897i | ||||
\(436\) | 2.82312 | + | 0.917286i | 0.135203 | + | 0.0439301i | ||||
\(437\) | 6.83526 | − | 13.4150i | 0.326975 | − | 0.641724i | ||||
\(438\) | 6.58166 | + | 1.04243i | 0.314484 | + | 0.0498093i | ||||
\(439\) | −1.29778 | −0.0619394 | −0.0309697 | − | 0.999520i | \(-0.509860\pi\) | ||||
−0.0309697 | + | 0.999520i | \(0.509860\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 24.8439 | 1.18304 | ||||||||
\(442\) | 2.58378 | + | 0.409231i | 0.122898 | + | 0.0194651i | ||||
\(443\) | 6.99183 | − | 13.7222i | 0.332192 | − | 0.651963i | −0.663138 | − | 0.748497i | \(-0.730776\pi\) |
0.995330 | + | 0.0965341i | \(0.0307757\pi\) | |||||||
\(444\) | 0.582016 | + | 0.189108i | 0.0276212 | + | 0.00897469i | ||||
\(445\) | 23.1563 | − | 20.8373i | 1.09771 | − | 0.987782i | ||||
\(446\) | 12.2313 | − | 16.8349i | 0.579169 | − | 0.797157i | ||||
\(447\) | −0.905345 | + | 0.461296i | −0.0428213 | + | 0.0218186i | ||||
\(448\) | −27.4870 | − | 14.0053i | −1.29864 | − | 0.661691i | ||||
\(449\) | 7.12560 | + | 9.80755i | 0.336278 | + | 0.462847i | 0.943350 | − | 0.331800i | \(-0.107656\pi\) |
−0.607072 | + | 0.794647i | \(0.707656\pi\) | |||||||
\(450\) | 15.7902 | − | 6.05033i | 0.744359 | − | 0.285215i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | −1.27736 | + | 1.27736i | −0.0600818 | + | 0.0600818i | ||||
\(453\) | −0.206638 | + | 1.30466i | −0.00970872 | + | 0.0612984i | ||||
\(454\) | −11.5414 | + | 3.75003i | −0.541666 | + | 0.175998i | ||||
\(455\) | 4.36491 | − | 7.55496i | 0.204630 | − | 0.354182i | ||||
\(456\) | 9.92637 | + | 7.21193i | 0.464845 | + | 0.337729i | ||||
\(457\) | 0.549197 | + | 3.46749i | 0.0256903 | + | 0.162202i | 0.997198 | − | 0.0748050i | \(-0.0238334\pi\) |
−0.971508 | + | 0.237007i | \(0.923833\pi\) | |||||||
\(458\) | −13.0440 | − | 25.6002i | −0.609505 | − | 1.19622i | ||||
\(459\) | −2.63181 | − | 8.09989i | −0.122843 | − | 0.378071i | ||||
\(460\) | −0.331262 | + | 0.862187i | −0.0154452 | + | 0.0401997i | ||||
\(461\) | 5.45336i | 0.253988i | 0.991903 | + | 0.126994i | \(0.0405329\pi\) | ||||
−0.991903 | + | 0.126994i | \(0.959467\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 15.3996 | + | 15.3996i | 0.715681 | + | 0.715681i | 0.967718 | − | 0.252037i | \(-0.0811005\pi\) |
−0.252037 | + | 0.967718i | \(0.581100\pi\) | |||||||
\(464\) | −3.46555 | + | 2.51787i | −0.160884 | + | 0.116889i | ||||
\(465\) | 0.496820 | − | 0.613142i | 0.0230395 | − | 0.0284338i | ||||
\(466\) | −1.68207 | + | 5.17688i | −0.0779205 | + | 0.239815i | ||||
\(467\) | 14.5030 | − | 2.29706i | 0.671121 | − | 0.106295i | 0.188431 | − | 0.982086i | \(-0.439660\pi\) |
0.482690 | + | 0.875791i | \(0.339660\pi\) | |||||||
\(468\) | −0.314321 | + | 0.0497836i | −0.0145295 | + | 0.00230125i | ||||
\(469\) | 5.62829 | − | 17.3221i | 0.259890 | − | 0.799861i | ||||
\(470\) | −0.406431 | − | 3.87823i | −0.0187473 | − | 0.178889i | ||||
\(471\) | 4.99670 | − | 3.63031i | 0.230236 | − | 0.167276i | ||||
\(472\) | −17.8626 | − | 17.8626i | −0.822193 | − | 0.822193i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 2.78758i | 0.128038i | ||||||||
\(475\) | 26.5687 | − | 5.63054i | 1.21906 | − | 0.258347i | ||||
\(476\) | −0.374210 | − | 1.15170i | −0.0171519 | − | 0.0527881i | ||||
\(477\) | −9.51158 | − | 18.6675i | −0.435506 | − | 0.854728i | ||||
\(478\) | 0.736804 | + | 4.65200i | 0.0337006 | + | 0.212777i | ||||
\(479\) | 3.97527 | + | 2.88820i | 0.181635 | + | 0.131965i | 0.674887 | − | 0.737921i | \(-0.264192\pi\) |
−0.493253 | + | 0.869886i | \(0.664192\pi\) | |||||||
\(480\) | −1.35597 | − | 0.783415i | −0.0618911 | − | 0.0357578i | ||||
\(481\) | 4.34288 | − | 1.41109i | 0.198018 | − | 0.0643401i | ||||
\(482\) | 5.82761 | − | 36.7941i | 0.265440 | − | 1.67592i | ||||
\(483\) | 6.87787 | − | 6.87787i | 0.312954 | − | 0.312954i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 6.23543 | − | 4.04665i | 0.283136 | − | 0.183749i | ||||
\(486\) | 13.7467 | + | 18.9207i | 0.623563 | + | 0.858260i | ||||
\(487\) | −9.56722 | − | 4.87474i | −0.433532 | − | 0.220896i | 0.223584 | − | 0.974685i | \(-0.428224\pi\) |
−0.657117 | + | 0.753789i | \(0.728224\pi\) | |||||||
\(488\) | −18.8141 | + | 9.58624i | −0.851672 | + | 0.433949i | ||||
\(489\) | −7.53978 | + | 10.3776i | −0.340961 | + | 0.469292i | ||||
\(490\) | −35.2515 | − | 1.85816i | −1.59250 | − | 0.0839431i | ||||
\(491\) | 3.09670 | + | 1.00618i | 0.139752 | + | 0.0454082i | 0.378058 | − | 0.925782i | \(-0.376592\pi\) |
−0.238306 | + | 0.971190i | \(0.576592\pi\) | |||||||
\(492\) | −0.0325232 | + | 0.0638303i | −0.00146626 | + | 0.00287769i | ||||
\(493\) | 1.90751 | + | 0.302121i | 0.0859102 | + | 0.0136068i | ||||
\(494\) | −7.37092 | −0.331634 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.81272 | 0.0813935 | ||||||||
\(497\) | 35.7695 | + | 5.66533i | 1.60448 | + | 0.254125i | ||||
\(498\) | −1.10180 | + | 2.16241i | −0.0493730 | + | 0.0968999i | ||||
\(499\) | 8.50419 | + | 2.76318i | 0.380700 | + | 0.123697i | 0.493114 | − | 0.869965i | \(-0.335858\pi\) |
−0.112414 | + | 0.993661i | \(0.535858\pi\) | |||||||
\(500\) | −1.58503 | + | 0.513415i | −0.0708846 | + | 0.0229606i | ||||
\(501\) | −2.03074 | + | 2.79507i | −0.0907267 | + | 0.124875i | ||||
\(502\) | 21.2978 | − | 10.8518i | 0.950567 | − | 0.484338i | ||||
\(503\) | 17.2262 | + | 8.77718i | 0.768078 | + | 0.391355i | 0.793695 | − | 0.608317i | \(-0.208155\pi\) |
−0.0256165 | + | 0.999672i | \(0.508155\pi\) | |||||||
\(504\) | −15.5102 | − | 21.3480i | −0.690879 | − | 0.950913i | ||||
\(505\) | −6.18781 | + | 29.0681i | −0.275354 | + | 1.29351i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −7.14801 | + | 7.14801i | −0.317454 | + | 0.317454i | ||||
\(508\) | 0.0270310 | − | 0.170667i | 0.00119931 | − | 0.00757213i | ||||
\(509\) | 2.68344 | − | 0.871901i | 0.118941 | − | 0.0386463i | −0.248942 | − | 0.968518i | \(-0.580083\pi\) |
0.367883 | + | 0.929872i | \(0.380083\pi\) | |||||||
\(510\) | 1.35999 | + | 5.08170i | 0.0602213 | + | 0.225021i | ||||
\(511\) | −18.6215 | − | 13.5293i | −0.823765 | − | 0.598500i | ||||
\(512\) | 3.06727 | + | 19.3660i | 0.135555 | + | 0.855863i | ||||
\(513\) | 10.8945 | + | 21.3816i | 0.481002 | + | 0.944020i | ||||
\(514\) | 7.34050 | + | 22.5917i | 0.323776 | + | 0.996479i | ||||
\(515\) | 21.0450 | + | 8.08574i | 0.927354 | + | 0.356300i | ||||
\(516\) | − | 0.886635i | − | 0.0390319i | ||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | −21.5550 | − | 21.5550i | −0.947071 | − | 0.947071i | ||||
\(519\) | 2.91601 | − | 2.11861i | 0.127999 | − | 0.0929965i | ||||
\(520\) | −5.58594 | + | 0.585395i | −0.244959 | + | 0.0256713i | ||||
\(521\) | 2.93670 | − | 9.03825i | 0.128659 | − | 0.395973i | −0.865891 | − | 0.500233i | \(-0.833248\pi\) |
0.994550 | + | 0.104261i | \(0.0332476\pi\) | |||||||
\(522\) | −3.34641 | + | 0.530019i | −0.146468 | + | 0.0231983i | ||||
\(523\) | 14.6538 | − | 2.32094i | 0.640767 | − | 0.101488i | 0.172408 | − | 0.985026i | \(-0.444845\pi\) |
0.468359 | + | 0.883538i | \(0.344845\pi\) | |||||||
\(524\) | 0.665569 | − | 2.04841i | 0.0290755 | − | 0.0894853i | ||||
\(525\) | 17.4485 | + | 1.84460i | 0.761515 | + | 0.0805049i | ||||
\(526\) | −1.13695 | + | 0.826043i | −0.0495734 | + | 0.0360172i | ||||
\(527\) | −0.577895 | − | 0.577895i | −0.0251735 | − | 0.0251735i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | − | 15.3169i | − | 0.665953i | ||||||
\(530\) | 12.1000 | + | 27.1991i | 0.525588 | + | 1.18145i | ||||
\(531\) | −6.63691 | − | 20.4263i | −0.288017 | − | 0.886426i | ||||
\(532\) | 1.54905 | + | 3.04019i | 0.0671600 | + | 0.131809i | ||||
\(533\) | 0.0836222 | + | 0.527970i | 0.00362208 | + | 0.0228689i | ||||
\(534\) | −13.7543 | − | 9.99311i | −0.595208 | − | 0.432444i | ||||
\(535\) | −13.3203 | + | 3.56485i | −0.575889 | + | 0.154122i | ||||
\(536\) | −11.1504 | + | 3.62299i | −0.481625 | + | 0.156489i | ||||
\(537\) | −0.484394 | + | 3.05834i | −0.0209031 | + | 0.131977i | ||||
\(538\) | 29.4638 | − | 29.4638i | 1.27027 | − | 1.27027i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −0.801414 | − | 1.23489i | −0.0344874 | − | 0.0531411i | ||||
\(541\) | 18.3773 | + | 25.2942i | 0.790102 | + | 1.08748i | 0.994095 | + | 0.108510i | \(0.0346081\pi\) |
−0.203993 | + | 0.978972i | \(0.565392\pi\) | |||||||
\(542\) | −40.1648 | − | 20.4650i | −1.72523 | − | 0.879047i | ||||
\(543\) | 4.48497 | − | 2.28521i | 0.192469 | − | 0.0980676i | ||||
\(544\) | −0.953262 | + | 1.31205i | −0.0408708 | + | 0.0562538i | ||||
\(545\) | 29.7937 | + | 33.1094i | 1.27622 | + | 1.41825i | ||||
\(546\) | −4.52886 | − | 1.47152i | −0.193817 | − | 0.0629751i | ||||
\(547\) | −14.3306 | + | 28.1254i | −0.612732 | + | 1.20255i | 0.351174 | + | 0.936310i | \(0.385783\pi\) |
−0.963906 | + | 0.266244i | \(0.914217\pi\) | |||||||
\(548\) | 1.82094 | + | 0.288409i | 0.0777868 | + | 0.0123202i | ||||
\(549\) | −17.9525 | −0.766194 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −5.44169 | −0.231824 | ||||||||
\(552\) | −6.18414 | − | 0.979472i | −0.263215 | − | 0.0416891i | ||||
\(553\) | 4.37135 | − | 8.57925i | 0.185889 | − | 0.364827i | ||||
\(554\) | 42.0331 | + | 13.6574i | 1.78582 | + | 0.580247i | ||||
\(555\) | 6.14229 | + | 6.82587i | 0.260726 | + | 0.289742i | ||||
\(556\) | −0.0884140 | + | 0.121691i | −0.00374959 | + | 0.00516087i | ||||
\(557\) | −11.8169 | + | 6.02103i | −0.500700 | + | 0.255119i | −0.686052 | − | 0.727553i | \(-0.740658\pi\) |
0.185352 | + | 0.982672i | \(0.440658\pi\) | |||||||
\(558\) | 1.27749 | + | 0.650912i | 0.0540803 | + | 0.0275553i | ||||
\(559\) | −3.88872 | − | 5.35237i | −0.164475 | − | 0.226381i | ||||
\(560\) | 21.9403 | + | 33.8076i | 0.927149 | + | 1.42863i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 8.83073 | − | 8.83073i | 0.372502 | − | 0.372502i | ||||
\(563\) | 4.59464 | − | 29.0094i | 0.193641 | − | 1.22260i | −0.678963 | − | 0.734173i | \(-0.737570\pi\) |
0.872604 | − | 0.488429i | \(-0.162430\pi\) | |||||||
\(564\) | −0.140354 | + | 0.0456037i | −0.00590996 | + | 0.00192026i | ||||
\(565\) | −26.1845 | + | 7.00761i | −1.10159 | + | 0.294812i | ||||
\(566\) | −11.3164 | − | 8.22184i | −0.475663 | − | 0.345590i | ||||
\(567\) | −2.13861 | − | 13.5027i | −0.0898133 | − | 0.567059i | ||||
\(568\) | −10.5835 | − | 20.7713i | −0.444074 | − | 0.871545i | ||||
\(569\) | −6.62865 | − | 20.4009i | −0.277887 | − | 0.855249i | −0.988441 | − | 0.151606i | \(-0.951555\pi\) |
0.710554 | − | 0.703643i | \(-0.248445\pi\) | |||||||
\(570\) | −6.02468 | − | 13.5427i | −0.252346 | − | 0.567241i | ||||
\(571\) | 28.7176i | 1.20179i | 0.799326 | + | 0.600897i | \(0.205190\pi\) | ||||
−0.799326 | + | 0.600897i | \(0.794810\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −9.74484 | − | 9.74484i | −0.407097 | − | 0.407097i | ||||
\(574\) | 2.88694 | − | 2.09748i | 0.120499 | − | 0.0875473i | ||||
\(575\) | −10.7759 | + | 8.71534i | −0.449386 | + | 0.363455i | ||||
\(576\) | −5.21728 | + | 16.0571i | −0.217386 | + | 0.669047i | ||||
\(577\) | 6.60992 | − | 1.04691i | 0.275175 | − | 0.0435834i | −0.0173218 | − | 0.999850i | \(-0.505514\pi\) |
0.292497 | + | 0.956267i | \(0.405514\pi\) | |||||||
\(578\) | −19.2336 | + | 3.04630i | −0.800011 | + | 0.126709i | ||||
\(579\) | 4.36399 | − | 13.4310i | 0.181361 | − | 0.558173i | ||||
\(580\) | 0.332012 | − | 0.0347942i | 0.0137861 | − | 0.00144475i | ||||
\(581\) | 6.78197 | − | 4.92739i | 0.281363 | − | 0.204422i | ||||
\(582\) | −2.86867 | − | 2.86867i | −0.118910 | − | 0.118910i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 14.8165i | 0.613112i | ||||||||
\(585\) | −4.45751 | − | 1.71263i | −0.184295 | − | 0.0708085i | ||||
\(586\) | −1.04529 | − | 3.21706i | −0.0431804 | − | 0.132896i | ||||
\(587\) | 16.5697 | + | 32.5198i | 0.683904 | + | 1.34224i | 0.928035 | + | 0.372494i | \(0.121497\pi\) |
−0.244131 | + | 0.969742i | \(0.578503\pi\) | |||||||
\(588\) | 0.208990 | + | 1.31951i | 0.00861859 | + | 0.0544156i | ||||
\(589\) | 1.86298 | + | 1.35353i | 0.0767627 | + | 0.0557714i | ||||
\(590\) | 7.88948 | + | 29.4797i | 0.324805 | + | 1.21366i | ||||
\(591\) | −10.7895 | + | 3.50571i | −0.443819 | + | 0.144205i | ||||
\(592\) | −3.29962 | + | 20.8330i | −0.135614 | + | 0.856230i | ||||
\(593\) | 26.6656 | − | 26.6656i | 1.09502 | − | 1.09502i | 0.100040 | − | 0.994983i | \(-0.468103\pi\) |
0.994983 | − | 0.100040i | \(-0.0318971\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 3.78328 | − | 17.7724i | 0.155099 | − | 0.728599i | ||||
\(596\) | 0.106913 | + | 0.147153i | 0.00437931 | + | 0.00602761i | ||||
\(597\) | −14.4020 | − | 7.33819i | −0.589435 | − | 0.300332i | ||||
\(598\) | 3.35143 | − | 1.70764i | 0.137050 | − | 0.0698305i | ||||
\(599\) | 22.6895 | − | 31.2294i | 0.927068 | − | 1.27600i | −0.0339244 | − | 0.999424i | \(-0.510801\pi\) |
0.960992 | − | 0.276575i | \(-0.0891995\pi\) | |||||||
\(600\) | −5.64126 | − | 9.78463i | −0.230303 | − | 0.399456i | ||||
\(601\) | 36.2521 | + | 11.7790i | 1.47875 | + | 0.480476i | 0.933740 | − | 0.357951i | \(-0.116525\pi\) |
0.545013 | + | 0.838428i | \(0.316525\pi\) | |||||||
\(602\) | −20.0505 | + | 39.3514i | −0.817198 | + | 1.60384i | ||||
\(603\) | −9.84529 | − | 1.55934i | −0.400931 | − | 0.0635013i | ||||
\(604\) | 0.236459 | 0.00962138 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 16.2198 | 0.658884 | ||||||||
\(607\) | −35.7864 | − | 5.66801i | −1.45253 | − | 0.230057i | −0.620243 | − | 0.784409i | \(-0.712966\pi\) |
−0.832282 | + | 0.554352i | \(0.812966\pi\) | |||||||
\(608\) | 2.07456 | − | 4.07156i | 0.0841346 | − | 0.165123i | ||||
\(609\) | −3.34350 | − | 1.08637i | −0.135485 | − | 0.0440219i | ||||
\(610\) | 25.4731 | + | 1.34273i | 1.03138 | + | 0.0543654i | ||||
\(611\) | −0.647262 | + | 0.890879i | −0.0261854 | + | 0.0360411i | ||||
\(612\) | −0.590512 | + | 0.300881i | −0.0238700 | + | 0.0121624i | ||||
\(613\) | 2.14667 | + | 1.09378i | 0.0867033 | + | 0.0441775i | 0.496804 | − | 0.867863i | \(-0.334507\pi\) |
−0.410101 | + | 0.912040i | \(0.634507\pi\) | |||||||
\(614\) | 15.1877 | + | 20.9041i | 0.612927 | + | 0.843621i | ||||
\(615\) | −0.901696 | + | 0.585180i | −0.0363599 | + | 0.0235967i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −25.5598 | + | 25.5598i | −1.02900 | + | 1.02900i | −0.0294325 | + | 0.999567i | \(0.509370\pi\) |
−0.999567 | + | 0.0294325i | \(0.990630\pi\) | |||||||
\(618\) | 1.92480 | − | 12.1527i | 0.0774269 | − | 0.488854i | ||||
\(619\) | 0.869119 | − | 0.282394i | 0.0349329 | − | 0.0113504i | −0.291498 | − | 0.956571i | \(-0.594154\pi\) |
0.326431 | + | 0.945221i | \(0.394154\pi\) | |||||||
\(620\) | −0.122320 | − | 0.0706708i | −0.00491248 | − | 0.00283821i | ||||
\(621\) | −9.90703 | − | 7.19788i | −0.397556 | − | 0.288841i | ||||
\(622\) | −3.46593 | − | 21.8830i | −0.138971 | − | 0.877429i | ||||
\(623\) | 26.6606 | + | 52.3243i | 1.06813 | + | 2.09633i | ||||
\(624\) | 1.01820 | + | 3.13371i | 0.0407607 | + | 0.125449i | ||||
\(625\) | −24.4474 | − | 5.22741i | −0.977895 | − | 0.209097i | ||||
\(626\) | 38.2851i | 1.53018i | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −0.781786 | − | 0.781786i | −0.0311967 | − | 0.0311967i | ||||
\(629\) | 7.69348 | − | 5.58964i | 0.306759 | − | 0.222874i | ||||
\(630\) | 3.32249 | + | 31.7037i | 0.132371 | + | 1.26311i | ||||
\(631\) | 7.14050 | − | 21.9762i | 0.284259 | − | 0.874859i | −0.702361 | − | 0.711821i | \(-0.747871\pi\) |
0.986620 | − | 0.163038i | \(-0.0521292\pi\) | |||||||
\(632\) | −6.12180 | + | 0.969597i | −0.243512 | + | 0.0385685i | ||||
\(633\) | 5.25479 | − | 0.832277i | 0.208859 | − | 0.0330800i | ||||
\(634\) | 12.8324 | − | 39.4940i | 0.509639 | − | 1.56851i | ||||
\(635\) | 1.63231 | − | 2.01448i | 0.0647761 | − | 0.0799423i | ||||
\(636\) | 0.911457 | − | 0.662212i | 0.0361416 | − | 0.0262584i | ||||
\(637\) | 7.04889 | + | 7.04889i | 0.279287 | + | 0.279287i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | − | 19.8201i | − | 0.784072i | ||||||
\(640\) | 9.95321 | − | 25.9055i | 0.393435 | − | 1.02401i | ||||
\(641\) | 2.69734 | + | 8.30156i | 0.106538 | + | 0.327892i | 0.990088 | − | 0.140445i | \(-0.0448534\pi\) |
−0.883550 | + | 0.468337i | \(0.844853\pi\) | |||||||
\(642\) | 3.41656 | + | 6.70537i | 0.134841 | + | 0.264640i | ||||
\(643\) | 4.93385 | + | 31.1511i | 0.194572 | + | 1.22848i | 0.870744 | + | 0.491736i | \(0.163638\pi\) |
−0.676172 | + | 0.736744i | \(0.736362\pi\) | |||||||
\(644\) | −1.40865 | − | 1.02345i | −0.0555087 | − | 0.0403294i | ||||
\(645\) | 6.65549 | − | 11.5196i | 0.262060 | − | 0.453583i | ||||
\(646\) | −14.5990 | + | 4.74349i | −0.574388 | + | 0.186630i | ||||
\(647\) | 2.14962 | − | 13.5722i | 0.0845105 | − | 0.533578i | −0.908719 | − | 0.417409i | \(-0.862938\pi\) |
0.993229 | − | 0.116169i | \(-0.0370616\pi\) | |||||||
\(648\) | −6.22265 | + | 6.22265i | −0.244449 | + | 0.244449i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 6.19675 | + | 2.76347i | 0.243057 | + | 0.108392i | ||||
\(651\) | 0.874439 | + | 1.20356i | 0.0342720 | + | 0.0471713i | ||||
\(652\) | 2.04596 | + | 1.04247i | 0.0801262 | + | 0.0408263i | ||||
\(653\) | 4.84809 | − | 2.47022i | 0.189720 | − | 0.0966673i | −0.356550 | − | 0.934276i | \(-0.616047\pi\) |
0.546270 | + | 0.837609i | \(0.316047\pi\) | |||||||
\(654\) | 14.2884 | − | 19.6663i | 0.558722 | − | 0.769014i | ||||
\(655\) | 24.0237 | − | 21.6179i | 0.938684 | − | 0.844681i | ||||
\(656\) | −2.34831 | − | 0.763013i | −0.0916861 | − | 0.0297906i | ||||
\(657\) | −5.71896 | + | 11.2241i | −0.223118 | + | 0.437893i | ||||
\(658\) | 7.26059 | + | 1.14996i | 0.283047 | + | 0.0448303i | ||||
\(659\) | −42.1160 | −1.64061 | −0.820304 | − | 0.571928i | \(-0.806195\pi\) | ||||
−0.820304 | + | 0.571928i | \(0.806195\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −19.5844 | −0.761745 | −0.380872 | − | 0.924628i | \(-0.624376\pi\) | ||||
−0.380872 | + | 0.924628i | \(0.624376\pi\) | |||||||
\(662\) | 35.6843 | + | 5.65184i | 1.38691 | + | 0.219665i | ||||
\(663\) | 0.674423 | − | 1.32363i | 0.0261924 | − | 0.0514055i | ||||
\(664\) | −5.13210 | − | 1.66752i | −0.199164 | − | 0.0647123i | ||||
\(665\) | −2.69501 | + | 51.1275i | −0.104508 | + | 1.98264i | ||||
\(666\) | −9.80607 | + | 13.4969i | −0.379978 | + | 0.522994i | ||||
\(667\) | 2.47424 | − | 1.26069i | 0.0958030 | − | 0.0488141i | ||||
\(668\) | 0.551053 | + | 0.280776i | 0.0213209 | + | 0.0108635i | ||||
\(669\) | −6.94580 | − | 9.56007i | −0.268540 | − | 0.369614i | ||||
\(670\) | 13.8530 | + | 2.94894i | 0.535189 | + | 0.113927i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 2.08750 | − | 2.08750i | 0.0805269 | − | 0.0805269i | ||||
\(673\) | −0.867632 | + | 5.47801i | −0.0334448 | + | 0.211162i | −0.998751 | − | 0.0499572i | \(-0.984092\pi\) |
0.965307 | + | 0.261119i | \(0.0840915\pi\) | |||||||
\(674\) | 43.2424 | − | 14.0503i | 1.66564 | − | 0.541198i | ||||
\(675\) | −1.14272 | − | 22.0600i | −0.0439833 | − | 0.849092i | ||||
\(676\) | 1.46398 | + | 1.06364i | 0.0563069 | + | 0.0409094i | ||||
\(677\) | −0.364999 | − | 2.30451i | −0.0140281 | − | 0.0885697i | 0.979681 | − | 0.200562i | \(-0.0642768\pi\) |
−0.993709 | + | 0.111992i | \(0.964277\pi\) | |||||||
\(678\) | 6.71610 | + | 13.1811i | 0.257930 | + | 0.506217i | ||||
\(679\) | 4.33030 | + | 13.3273i | 0.166182 | + | 0.511455i | ||||
\(680\) | −10.6869 | + | 4.75422i | −0.409822 | + | 0.182316i | ||||
\(681\) | 6.89132i | 0.264076i | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −25.0400 | − | 25.0400i | −0.958127 | − | 0.958127i | 0.0410307 | − | 0.999158i | \(-0.486936\pi\) |
−0.999158 | + | 0.0410307i | \(0.986936\pi\) | |||||||
\(684\) | 1.51075 | − | 1.09762i | 0.0577648 | − | 0.0419686i | ||||
\(685\) | 21.4936 | + | 17.4160i | 0.821229 | + | 0.665430i | ||||
\(686\) | 7.19711 | − | 22.1504i | 0.274787 | − | 0.845707i | ||||
\(687\) | −16.1151 | + | 2.55238i | −0.614829 | + | 0.0973794i | ||||
\(688\) | 30.1834 | − | 4.78058i | 1.15073 | − | 0.182258i | ||||
\(689\) | 2.59779 | − | 7.99518i | 0.0989679 | − | 0.304592i | ||||
\(690\) | 5.87678 | + | 4.76187i | 0.223725 | + | 0.181281i | ||||
\(691\) | 1.45608 | − | 1.05790i | 0.0553918 | − | 0.0402445i | −0.559745 | − | 0.828665i | \(-0.689101\pi\) |
0.615137 | + | 0.788421i | \(0.289101\pi\) | |||||||
\(692\) | −0.456241 | − | 0.456241i | −0.0173437 | − | 0.0173437i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 44.2510i | 1.67974i | ||||||||
\(695\) | −2.06219 | + | 0.917397i | −0.0782233 | + | 0.0347989i | ||||
\(696\) | 0.699307 | + | 2.15225i | 0.0265072 | + | 0.0815807i | ||||
\(697\) | 0.505394 | + | 0.991891i | 0.0191431 | + | 0.0375705i | ||||
\(698\) | −4.90006 | − | 30.9378i | −0.185470 | − | 1.17101i | ||||
\(699\) | 2.50075 | + | 1.81690i | 0.0945869 | + | 0.0687214i | ||||
\(700\) | −0.162480 | − | 3.13666i | −0.00614117 | − | 0.118554i | ||||
\(701\) | 16.9432 | − | 5.50518i | 0.639936 | − | 0.207928i | 0.0289647 | − | 0.999580i | \(-0.490779\pi\) |
0.610972 | + | 0.791653i | \(0.290779\pi\) | |||||||
\(702\) | −0.937847 | + | 5.92133i | −0.0353968 | + | 0.223486i | ||||
\(703\) | −18.9468 | + | 18.9468i | −0.714593 | + | 0.714593i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −2.16587 | − | 0.461055i | −0.0815713 | − | 0.0173643i | ||||
\(706\) | 3.44403 | + | 4.74030i | 0.129618 | + | 0.178403i | ||||
\(707\) | −49.9191 | − | 25.4351i | −1.87740 | − | 0.956584i | ||||
\(708\) | 1.02905 | − | 0.524327i | 0.0386741 | − | 0.0197054i | ||||
\(709\) | 5.90573 | − | 8.12854i | 0.221794 | − | 0.305274i | −0.683590 | − | 0.729866i | \(-0.739583\pi\) |
0.905385 | + | 0.424592i | \(0.139583\pi\) | |||||||
\(710\) | −1.48241 | + | 28.1232i | −0.0556340 | + | 1.05544i | ||||
\(711\) | −5.01174 | − | 1.62841i | −0.187955 | − | 0.0610703i | ||||
\(712\) | 17.1617 | − | 33.6817i | 0.643161 | − | 1.26228i | ||||
\(713\) | −1.16064 | − | 0.183827i | −0.0434663 | − | 0.00688438i | ||||
\(714\) | −9.91691 | −0.371131 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0.554298 | 0.0207151 | ||||||||
\(717\) | 2.64173 | + | 0.418410i | 0.0986574 | + | 0.0156258i | ||||
\(718\) | 7.14798 | − | 14.0287i | 0.266760 | − | 0.523546i | ||||
\(719\) | 6.52361 | + | 2.11965i | 0.243290 | + | 0.0790496i | 0.428124 | − | 0.903720i | \(-0.359175\pi\) |
−0.184834 | + | 0.982770i | \(0.559175\pi\) | |||||||
\(720\) | 16.3962 | − | 14.7542i | 0.611050 | − | 0.549857i | ||||
\(721\) | −24.9812 | + | 34.3836i | −0.930348 | + | 1.28051i | ||||
\(722\) | 13.7201 | − | 6.99073i | 0.510609 | − | 0.260168i | ||||
\(723\) | −18.8490 | − | 9.60405i | −0.701002 | − | 0.357179i | ||||
\(724\) | −0.529633 | − | 0.728977i | −0.0196836 | − | 0.0270922i | ||||
\(725\) | 4.57485 | + | 2.04017i | 0.169906 | + | 0.0757702i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −25.2212 | + | 25.2212i | −0.935401 | + | 0.935401i | −0.998036 | − | 0.0626351i | \(-0.980050\pi\) |
0.0626351 | + | 0.998036i | \(0.480050\pi\) | |||||||
\(728\) | 1.65633 | − | 10.4576i | 0.0613876 | − | 0.387586i | ||||
\(729\) | 3.37765 | − | 1.09747i | 0.125098 | − | 0.0406469i | ||||
\(730\) | 8.95422 | − | 15.4983i | 0.331411 | − | 0.573619i | ||||
\(731\) | −11.1465 | − | 8.09842i | −0.412269 | − | 0.299531i | ||||
\(732\) | −0.151018 | − | 0.953493i | −0.00558180 | − | 0.0352421i | ||||
\(733\) | −3.50052 | − | 6.87015i | −0.129295 | − | 0.253755i | 0.817279 | − | 0.576242i | \(-0.195481\pi\) |
−0.946574 | + | 0.322487i | \(0.895481\pi\) | |||||||
\(734\) | −15.6759 | − | 48.2455i | −0.578609 | − | 1.78077i | ||||
\(735\) | −7.18955 | + | 18.7125i | −0.265190 | + | 0.690220i | ||||
\(736\) | 2.33188i | 0.0859543i | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −1.38095 | − | 1.38095i | −0.0508336 | − | 0.0508336i | ||||
\(739\) | −33.0105 | + | 23.9835i | −1.21431 | + | 0.882248i | −0.995615 | − | 0.0935452i | \(-0.970180\pi\) |
−0.218695 | + | 0.975793i | \(0.570180\pi\) | |||||||
\(740\) | 1.03485 | − | 1.27714i | 0.0380418 | − | 0.0469487i | ||||
\(741\) | −1.29346 | + | 3.98087i | −0.0475166 | + | 0.146241i | ||||
\(742\) | −55.4284 | + | 8.77899i | −2.03484 | + | 0.322287i | ||||
\(743\) | −43.8183 | + | 6.94013i | −1.60754 | + | 0.254609i | −0.894682 | − | 0.446703i | \(-0.852598\pi\) |
−0.712855 | + | 0.701312i | \(0.752598\pi\) | |||||||
\(744\) | 0.295927 | − | 0.910768i | 0.0108492 | − | 0.0333904i | ||||
\(745\) | 0.284465 | + | 2.71441i | 0.0104220 | + | 0.0994484i | ||||
\(746\) | −16.6122 | + | 12.0695i | −0.608216 | + | 0.441895i | ||||
\(747\) | −3.24412 | − | 3.24412i | −0.118696 | − | 0.118696i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | − | 25.9946i | − | 0.949821i | ||||||
\(750\) | −0.0123975 | + | 13.6441i | −0.000452693 | + | 0.498213i | ||||
\(751\) | −4.06861 | − | 12.5219i | −0.148466 | − | 0.456931i | 0.848975 | − | 0.528434i | \(-0.177220\pi\) |
−0.997440 | + | 0.0715030i | \(0.977220\pi\) | |||||||
\(752\) | −2.30923 | − | 4.53213i | −0.0842091 | − | 0.165270i | ||||
\(753\) | −2.12342 | − | 13.4067i | −0.0773817 | − | 0.488569i | ||||
\(754\) | −1.09985 | − | 0.799086i | −0.0400541 | − | 0.0291010i | ||||
\(755\) | 3.07219 | + | 1.77497i | 0.111808 | + | 0.0645978i | ||||
\(756\) | 2.63939 | − | 0.857590i | 0.0959937 | − | 0.0311902i | ||||
\(757\) | 3.10865 | − | 19.6273i | 0.112986 | − | 0.713365i | −0.864542 | − | 0.502560i | \(-0.832392\pi\) |
0.977528 | − | 0.210805i | \(-0.0676084\pi\) | |||||||
\(758\) | 27.4703 | − | 27.4703i | 0.997768 | − | 0.997768i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 27.6455 | − | 17.9413i | 1.00281 | − | 0.650799i | ||||
\(761\) | −10.4266 | − | 14.3510i | −0.377964 | − | 0.520222i | 0.577080 | − | 0.816688i | \(-0.304192\pi\) |
−0.955044 | + | 0.296465i | \(0.904192\pi\) | |||||||
\(762\) | −1.26082 | − | 0.642421i | −0.0456748 | − | 0.0232724i | ||||
\(763\) | −74.8148 | + | 38.1200i | −2.70848 | + | 1.38004i | ||||
\(764\) | −1.45006 | + | 1.99584i | −0.0524613 | + | 0.0722068i | ||||
\(765\) | −9.93076 | − | 0.523465i | −0.359047 | − | 0.0189259i | ||||
\(766\) | −33.5134 | − | 10.8892i | −1.21089 | − | 0.393442i | ||||
\(767\) | 3.91242 | − | 7.67856i | 0.141269 | − | 0.277257i | ||||
\(768\) | −2.92477 | − | 0.463238i | −0.105538 | − | 0.0167156i | ||||
\(769\) | 33.4001 | 1.20444 | 0.602218 | − | 0.798331i | \(-0.294284\pi\) | ||||
0.602218 | + | 0.798331i | \(0.294284\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 13.4894 | 0.485810 | ||||||||
\(772\) | −2.49689 | − | 0.395468i | −0.0898649 | − | 0.0142332i | ||||
\(773\) | −17.3249 | + | 34.0020i | −0.623132 | + | 1.22297i | 0.336493 | + | 0.941686i | \(0.390759\pi\) |
−0.959626 | + | 0.281280i | \(0.909241\pi\) | |||||||
\(774\) | 22.9879 | + | 7.46922i | 0.826283 | + | 0.268476i | ||||
\(775\) | −1.05875 | − | 1.83638i | −0.0380314 | − | 0.0659646i | ||||
\(776\) | 5.30207 | − | 7.29767i | 0.190333 | − | 0.261971i | ||||
\(777\) | −15.4239 | + | 7.85885i | −0.553328 | + | 0.281935i | ||||
\(778\) | 9.85565 | + | 5.02171i | 0.353342 | + | 0.180037i | ||||
\(779\) | −1.84369 | − | 2.53762i | −0.0660570 | − | 0.0909197i | ||||
\(780\) | 0.0534639 | − | 0.251154i | 0.00191432 | − | 0.00899276i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 5.53895 | − | 5.53895i | 0.198072 | − | 0.198072i | ||||
\(783\) | −0.692380 | + | 4.37151i | −0.0247436 | + | 0.156225i | ||||
\(784\) | −43.7927 | + | 14.2291i | −1.56403 | + | 0.508183i | ||||
\(785\) | −4.28890 | − | 16.0258i | −0.153077 | − | 0.571985i | ||||
\(786\) | −14.2696 | − | 10.3675i | −0.508980 | − | 0.369795i | ||||
\(787\) | 5.74822 | + | 36.2929i | 0.204902 | + | 1.29370i | 0.848851 | + | 0.528632i | \(0.177295\pi\) |
−0.643949 | + | 0.765068i | \(0.722705\pi\) | |||||||
\(788\) | 0.921971 | + | 1.80947i | 0.0328438 | + | 0.0644597i | ||||
\(789\) | 0.246613 | + | 0.758997i | 0.00877966 | + | 0.0270210i | ||||
\(790\) | 6.98946 | + | 2.68543i | 0.248674 | + | 0.0955434i | ||||
\(791\) | − | 51.0989i | − | 1.81687i | ||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −5.09361 | − | 5.09361i | −0.180879 | − | 0.180879i | ||||
\(794\) | −27.0025 | + | 19.6185i | −0.958283 | + | 0.696234i | ||||
\(795\) | 16.8130 | − | 1.76196i | 0.596294 | − | 0.0624904i | ||||
\(796\) | −0.894133 | + | 2.75186i | −0.0316917 | + | 0.0975371i | ||||
\(797\) | −19.8933 | + | 3.15079i | −0.704657 | + | 0.111607i | −0.498471 | − | 0.866906i | \(-0.666105\pi\) |
−0.206186 | + | 0.978513i | \(0.566105\pi\) | |||||||
\(798\) | 27.5983 | − | 4.37114i | 0.976969 | − | 0.154737i | ||||
\(799\) | −0.708659 | + | 2.18103i | −0.0250705 | + | 0.0771592i | ||||
\(800\) | −3.27058 | + | 2.64518i | −0.115632 | + | 0.0935214i | ||||
\(801\) | 26.0013 | − | 18.8910i | 0.918710 | − | 0.667482i | ||||
\(802\) | −25.0253 | − | 25.0253i | −0.883674 | − | 0.883674i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | − | 0.536020i | − | 0.0189040i | ||||||
\(805\) | −10.6194 | − | 23.8711i | −0.374286 | − | 0.841346i | ||||
\(806\) | 0.177776 | + | 0.547138i | 0.00626189 | + | 0.0192721i | ||||
\(807\) | −10.7424 | − | 21.0831i | −0.378149 | − | 0.742159i | ||||
\(808\) | 5.64168 | + | 35.6202i | 0.198474 | + | 1.25311i | ||||
\(809\) | −42.0153 | − | 30.5259i | −1.47718 | − | 1.07323i | −0.978452 | − | 0.206477i | \(-0.933800\pi\) |
−0.498729 | − | 0.866758i | \(-0.666200\pi\) | |||||||
\(810\) | 10.2696 | − | 2.74839i | 0.360837 | − | 0.0965687i | ||||
\(811\) | −37.2555 | + | 12.1050i | −1.30822 | + | 0.425065i | −0.878433 | − | 0.477866i | \(-0.841410\pi\) |
−0.429784 | + | 0.902932i | \(0.641410\pi\) | |||||||
\(812\) | −0.0984475 | + | 0.621573i | −0.00345483 | + | 0.0218129i | ||||
\(813\) | −18.1009 | + | 18.1009i | −0.634826 | + | 0.634826i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 18.7569 | + | 28.9022i | 0.657025 | + | 1.01240i | ||||
\(816\) | 4.03334 | + | 5.55141i | 0.141195 | + | 0.194338i | ||||
\(817\) | 34.5898 | + | 17.6244i | 1.21015 | + | 0.616600i | ||||
\(818\) | −7.64877 | + | 3.89724i | −0.267433 | + | 0.136264i | ||||
\(819\) | 5.29123 | − | 7.28275i | 0.184890 | − | 0.254480i | ||||
\(820\) | 0.128714 | + | 0.143038i | 0.00449489 | + | 0.00499512i | ||||
\(821\) | −23.7731 | − | 7.72435i | −0.829687 | − | 0.269582i | −0.136773 | − | 0.990602i | \(-0.543673\pi\) |
−0.692913 | + | 0.721021i | \(0.743673\pi\) | |||||||
\(822\) | 6.85435 | − | 13.4524i | 0.239073 | − | 0.469207i | ||||
\(823\) | 22.6933 | + | 3.59426i | 0.791038 | + | 0.125288i | 0.538863 | − | 0.842393i | \(-0.318854\pi\) |
0.252175 | + | 0.967682i | \(0.418854\pi\) | |||||||
\(824\) | 27.3580 | 0.953062 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −57.5294 | −2.00170 | ||||||||
\(827\) | 5.46918 | + | 0.866233i | 0.190182 | + | 0.0301219i | 0.250799 | − | 0.968039i | \(-0.419307\pi\) |
−0.0606167 | + | 0.998161i | \(0.519307\pi\) | |||||||
\(828\) | −0.432621 | + | 0.849066i | −0.0150346 | + | 0.0295071i | ||||
\(829\) | −14.2407 | − | 4.62709i | −0.494601 | − | 0.160706i | 0.0510867 | − | 0.998694i | \(-0.483732\pi\) |
−0.545688 | + | 0.837989i | \(0.683732\pi\) | |||||||
\(830\) | 4.36051 | + | 4.84578i | 0.151355 | + | 0.168200i | ||||
\(831\) | 14.7521 | − | 20.3045i | 0.511745 | − | 0.704356i | ||||
\(832\) | −6.03612 | + | 3.07556i | −0.209265 | + | 0.106626i | ||||
\(833\) | 18.4974 | + | 9.42488i | 0.640896 | + | 0.326553i | ||||
\(834\) | 0.724042 | + | 0.996559i | 0.0250715 | + | 0.0345080i | ||||
\(835\) | 5.05192 | + | 7.78443i | 0.174829 | + | 0.269391i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 1.32438 | − | 1.32438i | 0.0457773 | − | 0.0457773i | ||||
\(838\) | 2.53632 | − | 16.0137i | 0.0876156 | − | 0.553183i | ||||
\(839\) | 11.9792 | − | 3.89228i | 0.413568 | − | 0.134376i | −0.0948403 | − | 0.995493i | \(-0.530234\pi\) |
0.508408 | + | 0.861116i | \(0.330234\pi\) | |||||||
\(840\) | 20.5678 | − | 5.50444i | 0.709656 | − | 0.189921i | ||||
\(841\) | 22.6495 | + | 16.4558i | 0.781018 | + | 0.567443i | ||||
\(842\) | −1.80550 | − | 11.3995i | −0.0622215 | − | 0.392851i | ||||
\(843\) | −3.21965 | − | 6.31891i | −0.110891 | − | 0.217635i | ||||
\(844\) | −0.294303 | − | 0.905773i | −0.0101303 | − | 0.0311780i | ||||
\(845\) | 11.0365 | + | 24.8087i | 0.379668 | + | 0.853445i | ||||
\(846\) | − | 4.02315i | − | 0.138319i | ||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 27.4579 | + | 27.4579i | 0.942907 | + | 0.942907i | ||||
\(849\) | −6.42625 | + | 4.66895i | −0.220548 | + | 0.160238i | ||||
\(850\) | 14.0518 | + | 1.48551i | 0.481972 | + | 0.0509525i | ||||
\(851\) | 4.22533 | − | 13.0042i | 0.144842 | − | 0.445779i | ||||
\(852\) | 1.05269 | − | 0.166729i | 0.0360644 | − | 0.00571204i | ||||
\(853\) | 49.1602 | − | 7.78622i | 1.68321 | − | 0.266595i | 0.759732 | − | 0.650236i | \(-0.225330\pi\) |
0.923482 | + | 0.383641i | \(0.125330\pi\) | |||||||
\(854\) | −14.8598 | + | 45.7338i | −0.508493 | + | 1.56498i | ||||
\(855\) | 27.8676 | − | 2.92047i | 0.953051 | − | 0.0998779i | ||||
\(856\) | −13.5373 | + | 9.83540i | −0.462694 | + | 0.336167i | ||||
\(857\) | −21.2860 | − | 21.2860i | −0.727117 | − | 0.727117i | 0.242927 | − | 0.970044i | \(-0.421892\pi\) |
−0.970044 | + | 0.242927i | \(0.921892\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 9.31402i | 0.317790i | 0.987295 | + | 0.158895i | \(0.0507932\pi\) | ||||
−0.987295 | + | 0.158895i | \(0.949207\pi\) | |||||||
\(860\) | −2.22311 | − | 0.854145i | −0.0758074 | − | 0.0291261i | ||||
\(861\) | −0.626199 | − | 1.92724i | −0.0213408 | − | 0.0656802i | ||||
\(862\) | −4.86033 | − | 9.53893i | −0.165543 | − | 0.324897i | ||||
\(863\) | −5.53609 | − | 34.9535i | −0.188451 | − | 1.18983i | −0.882644 | − | 0.470042i | \(-0.844239\pi\) |
0.694193 | − | 0.719789i | \(-0.255761\pi\) | |||||||
\(864\) | −3.00687 | − | 2.18462i | −0.102296 | − | 0.0743223i | ||||
\(865\) | −2.50295 | − | 9.35245i | −0.0851027 | − | 0.317993i | ||||
\(866\) | 7.03726 | − | 2.28654i | 0.239136 | − | 0.0776999i | ||||
\(867\) | −1.72990 | + | 10.9222i | −0.0587506 | + | 0.370937i | ||||
\(868\) | 0.188310 | − | 0.188310i | 0.00639166 | − | 0.00639166i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 0.569202 | − | 2.67390i | 0.0192978 | − | 0.0906538i | ||||
\(871\) | −2.35095 | − | 3.23580i | −0.0796588 | − | 0.109641i | ||||
\(872\) | 48.1590 | + | 24.5383i | 1.63087 | + | 0.830970i | ||||
\(873\) | 6.83331 | − | 3.48175i | 0.231273 | − | 0.117839i | ||||
\(874\) | −12.9732 | + | 17.8561i | −0.438825 | + | 0.603991i | ||||
\(875\) | 21.4342 | − | 41.9726i | 0.724607 | − | 1.41893i | ||||
\(876\) | −0.644242 | − | 0.209327i | −0.0217669 | − | 0.00707250i | ||||
\(877\) | 9.92391 | − | 19.4768i | 0.335107 | − | 0.657684i | −0.660550 | − | 0.750782i | \(-0.729677\pi\) |
0.995657 | + | 0.0930980i | \(0.0296770\pi\) | |||||||
\(878\) | 1.87906 | + | 0.297613i | 0.0634151 | + | 0.0100440i | ||||
\(879\) | −1.92089 | −0.0647901 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 46.4810 | 1.56599 | 0.782993 | − | 0.622031i | \(-0.213692\pi\) | ||||
0.782993 | + | 0.622031i | \(0.213692\pi\) | |||||||
\(882\) | −35.9717 | − | 5.69735i | −1.21123 | − | 0.191840i | ||||
\(883\) | 12.6771 | − | 24.8801i | 0.426617 | − | 0.837283i | −0.573223 | − | 0.819399i | \(-0.694307\pi\) |
0.999840 | − | 0.0178835i | \(-0.00569281\pi\) | |||||||
\(884\) | −0.252912 | − | 0.0821761i | −0.00850635 | − | 0.00276388i | ||||
\(885\) | 17.3058 | + | 0.912213i | 0.581727 | + | 0.0306637i | ||||
\(886\) | −13.2704 | + | 18.2651i | −0.445827 | + | 0.613628i | ||||
\(887\) | −6.27285 | + | 3.19618i | −0.210622 | + | 0.107317i | −0.556119 | − | 0.831103i | \(-0.687710\pi\) |
0.345497 | + | 0.938420i | \(0.387710\pi\) | |||||||
\(888\) | 9.92850 | + | 5.05882i | 0.333179 | + | 0.169763i | ||||
\(889\) | 2.87298 | + | 3.95431i | 0.0963566 | + | 0.132623i | ||||
\(890\) | −38.3066 | + | 24.8601i | −1.28404 | + | 0.833313i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −1.49577 | + | 1.49577i | −0.0500822 | + | 0.0500822i | ||||
\(893\) | 1.01082 | − | 6.38206i | 0.0338258 | − | 0.213567i | ||||
\(894\) | 1.41664 | − | 0.460295i | 0.0473796 | − | 0.0153946i | ||||
\(895\) | 7.20171 | + | 4.16082i | 0.240727 | + | 0.139081i | ||||
\(896\) | 42.3248 | + | 30.7508i | 1.41397 | + | 1.02731i | ||||
\(897\) | −0.334142 | − | 2.10969i | −0.0111567 | − | 0.0704405i | ||||
\(898\) | −8.06807 | − | 15.8345i | −0.269235 | − | 0.528404i | ||||
\(899\) | 0.131246 | + | 0.403933i | 0.00437729 | + | 0.0134719i | ||||
\(900\) | −1.68160 | + | 0.356371i | −0.0560534 | + | 0.0118790i | ||||
\(901\) | − | 17.5071i | − | 0.583247i | ||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 17.7343 | + | 17.7343i | 0.590160 | + | 0.590160i | ||||
\(904\) | −26.6109 | + | 19.3339i | −0.885065 | + | 0.643037i | ||||
\(905\) | −1.40921 | − | 13.4469i | −0.0468436 | − | 0.446990i | ||||
\(906\) | 0.598386 | − | 1.84164i | 0.0198800 | − | 0.0611845i | ||||
\(907\) | 29.1849 | − | 4.62244i | 0.969070 | − | 0.153486i | 0.348218 | − | 0.937414i | \(-0.386787\pi\) |
0.620852 | + | 0.783928i | \(0.286787\pi\) | |||||||
\(908\) | 1.21843 | − | 0.192980i | 0.0404350 | − | 0.00640427i | ||||
\(909\) | −9.47507 | + | 29.1613i | −0.314268 | + | 0.967218i | ||||
\(910\) | −8.05252 | + | 9.93788i | −0.266938 | + | 0.329437i | ||||
\(911\) | −13.7155 | + | 9.96491i | −0.454416 | + | 0.330152i | −0.791337 | − | 0.611381i | \(-0.790614\pi\) |
0.336921 | + | 0.941533i | \(0.390614\pi\) | |||||||
\(912\) | −13.6715 | − | 13.6715i | −0.452709 | − | 0.452709i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | − | 5.14655i | − | 0.170233i | ||||||
\(915\) | 5.19525 | − | 13.5219i | 0.171750 | − | 0.447019i | ||||
\(916\) | 0.902553 | + | 2.77777i | 0.0298212 | + | 0.0917802i | ||||
\(917\) | 27.6593 | + | 54.2845i | 0.913391 | + | 1.79263i | ||||
\(918\) | 1.95311 | + | 12.3314i | 0.0644621 | + | 0.406998i | ||||
\(919\) | −4.06377 | − | 2.95250i | −0.134051 | − | 0.0973940i | 0.518739 | − | 0.854933i | \(-0.326402\pi\) |
−0.652790 | + | 0.757539i | \(0.726402\pi\) | |||||||
\(920\) | −8.41341 | + | 14.5623i | −0.277382 | + | 0.480104i | ||||
\(921\) | 13.9550 | − | 4.53426i | 0.459833 | − | 0.149409i | ||||
\(922\) | 1.25059 | − | 7.89595i | 0.0411861 | − | 0.260039i | ||||
\(923\) | 5.62351 | − | 5.62351i | 0.185100 | − | 0.185100i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 23.0321 | − | 8.82519i | 0.757290 | − | 0.290170i | ||||
\(926\) | −18.7657 | − | 25.8287i | −0.616678 | − | 0.848784i | ||||
\(927\) | 20.7247 | + | 10.5598i | 0.680690 | + | 0.346829i | ||||
\(928\) | 0.750954 | − | 0.382630i | 0.0246513 | − | 0.0125605i | ||||
\(929\) | 6.94350 | − | 9.55691i | 0.227809 | − | 0.313552i | −0.679777 | − | 0.733419i | \(-0.737923\pi\) |
0.907586 | + | 0.419867i | \(0.137923\pi\) | |||||||
\(930\) | −0.859957 | + | 0.773838i | −0.0281991 | + | 0.0253751i | ||||
\(931\) | −55.6316 | − | 18.0758i | −1.82325 | − | 0.592411i | ||||
\(932\) | 0.251210 | − | 0.493026i | 0.00822864 | − | 0.0161496i | ||||
\(933\) | −12.4267 | − | 1.96820i | −0.406833 | − | 0.0644360i | ||||
\(934\) | −21.5258 | −0.704346 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −5.79466 | −0.189405 | ||||||||
\(937\) | 2.26390 | + | 0.358566i | 0.0739583 | + | 0.0117138i | 0.193304 | − | 0.981139i | \(-0.438080\pi\) |
−0.119346 | + | 0.992853i | \(0.538080\pi\) | |||||||
\(938\) | −12.1216 | + | 23.7901i | −0.395786 | + | 0.776773i | ||||
\(939\) | 20.6769 | + | 6.71835i | 0.674767 | + | 0.219245i | ||||
\(940\) | −0.0208658 | + | 0.395850i | −0.000680568 | + | 0.0129112i | ||||
\(941\) | −1.04233 | + | 1.43465i | −0.0339791 | + | 0.0467683i | −0.825669 | − | 0.564156i | \(-0.809202\pi\) |
0.791689 | + | 0.610924i | \(0.209202\pi\) | |||||||
\(942\) | −8.06727 | + | 4.11048i | −0.262846 | + | 0.133927i | ||||
\(943\) | 1.42619 | + | 0.726679i | 0.0464431 | + | 0.0236639i | ||||
\(944\) | 23.3979 | + | 32.2045i | 0.761538 | + | 1.04817i | ||||
\(945\) | 40.7297 | + | 8.67026i | 1.32494 | + | 0.282043i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −8.63289 | + | 8.63289i | −0.280531 | + | 0.280531i | −0.833321 | − | 0.552790i | \(-0.813563\pi\) |
0.552790 | + | 0.833321i | \(0.313563\pi\) | |||||||
\(948\) | 0.0443289 | − | 0.279882i | 0.00143974 | − | 0.00909014i | ||||
\(949\) | −4.80720 | + | 1.56195i | −0.156048 | + | 0.0507031i | ||||
\(950\) | −39.7602 | + | 2.05960i | −1.28999 | + | 0.0668221i | ||||
\(951\) | −19.0780 | − | 13.8610i | −0.618646 | − | 0.449473i | ||||
\(952\) | −3.44937 | − | 21.7785i | −0.111795 | − | 0.705845i | ||||
\(953\) | −8.36901 | − | 16.4251i | −0.271099 | − | 0.532061i | 0.714815 | − | 0.699313i | \(-0.246511\pi\) |
−0.985914 | + | 0.167252i | \(0.946511\pi\) | |||||||
\(954\) | 9.49093 | + | 29.2101i | 0.307280 | + | 0.945711i | ||||
\(955\) | −33.8215 | + | 15.0460i | −1.09444 | + | 0.486879i | ||||
\(956\) | − | 0.478792i | − | 0.0154852i | ||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −5.09348 | − | 5.09348i | −0.164563 | − | 0.164563i | ||||
\(959\) | −42.1908 | + | 30.6534i | −1.36241 | + | 0.989850i | ||||
\(960\) | −10.5844 | − | 8.57641i | −0.341611 | − | 0.276802i | ||||
\(961\) | −9.52399 | + | 29.3118i | −0.307225 | + | 0.945543i | ||||
\(962\) | −6.61168 | + | 1.04719i | −0.213169 | + | 0.0337627i | ||||
\(963\) | −14.0513 | + | 2.22551i | −0.452797 | + | 0.0717160i | ||||
\(964\) | −1.17022 | + | 3.60157i | −0.0376902 | + | 0.115999i | ||||
\(965\) | −29.4722 | − | 23.8809i | −0.948743 | − | 0.768753i | ||||
\(966\) | −11.5358 | + | 8.38124i | −0.371158 | + | 0.269662i | ||||
\(967\) | −9.49113 | − | 9.49113i | −0.305214 | − | 0.305214i | 0.537836 | − | 0.843050i | \(-0.319242\pi\) |
−0.843050 | + | 0.537836i | \(0.819242\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 8.71697i | 0.280029i | ||||||||
\(970\) | −9.95632 | + | 4.42923i | −0.319678 | + | 0.142214i | ||||
\(971\) | 15.8279 | + | 48.7132i | 0.507941 | + | 1.56328i | 0.795770 | + | 0.605599i | \(0.207067\pi\) |
−0.287829 | + | 0.957682i | \(0.592933\pi\) | |||||||
\(972\) | −1.07933 | − | 2.11830i | −0.0346195 | − | 0.0679445i | ||||
\(973\) | −0.665608 | − | 4.20248i | −0.0213384 | − | 0.134725i | ||||
\(974\) | 12.7345 | + | 9.25218i | 0.408041 | + | 0.296459i | ||||
\(975\) | 2.57991 | − | 2.86179i | 0.0826232 | − | 0.0916506i | ||||
\(976\) | 31.6451 | − | 10.2821i | 1.01294 | − | 0.329123i | ||||
\(977\) | −2.26522 | + | 14.3020i | −0.0724707 | + | 0.457562i | 0.924591 | + | 0.380961i | \(0.124407\pi\) |
−0.997062 | + | 0.0766009i | \(0.975593\pi\) | |||||||
\(978\) | 13.2967 | − | 13.2967i | 0.425183 | − | 0.425183i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 3.50981 | + | 0.747144i | 0.112117 | + | 0.0238666i | ||||
\(981\) | 27.0109 | + | 37.1773i | 0.862392 | + | 1.18698i | ||||
\(982\) | −4.25299 | − | 2.16700i | −0.135718 | − | 0.0691519i | ||||
\(983\) | 51.2750 | − | 26.1259i | 1.63542 | − | 0.833288i | 0.637389 | − | 0.770542i | \(-0.280014\pi\) |
0.998030 | − | 0.0627455i | \(-0.0199857\pi\) | |||||||
\(984\) | −0.766724 | + | 1.05531i | −0.0244423 | + | 0.0336419i | ||||
\(985\) | −1.60402 | + | 30.4302i | −0.0511084 | + | 0.969588i | ||||
\(986\) | −2.69262 | − | 0.874885i | −0.0857504 | − | 0.0278620i | ||||
\(987\) | 1.89517 | − | 3.71948i | 0.0603240 | − | 0.118392i | ||||
\(988\) | 0.740064 | + | 0.117215i | 0.0235446 | + | 0.00372909i | ||||
\(989\) | −19.8105 | −0.629936 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 13.1102 | 0.416458 | 0.208229 | − | 0.978080i | \(-0.433230\pi\) | ||||
0.208229 | + | 0.978080i | \(0.433230\pi\) | |||||||
\(992\) | −0.352264 | − | 0.0557932i | −0.0111844 | − | 0.00177143i | ||||
\(993\) | 9.31438 | − | 18.2805i | 0.295583 | − | 0.580114i | ||||
\(994\) | −50.4916 | − | 16.4057i | −1.60150 | − | 0.520358i | ||||
\(995\) | −32.2737 | + | 29.0417i | −1.02315 | + | 0.920684i | ||||
\(996\) | 0.145012 | − | 0.199592i | 0.00459487 | − | 0.00632430i | ||||
\(997\) | 2.00913 | − | 1.02370i | 0.0636299 | − | 0.0324210i | −0.421886 | − | 0.906649i | \(-0.638632\pi\) |
0.485516 | + | 0.874228i | \(0.338632\pi\) | |||||||
\(998\) | −11.6796 | − | 5.95105i | −0.369711 | − | 0.188377i | ||||
\(999\) | 12.8100 | + | 17.6314i | 0.405289 | + | 0.557833i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))