Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(121,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 0, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.121");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bg (of order \(15\), degree \(8\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{15})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 40x^{14} + 654x^{12} + 5650x^{10} + 27831x^{8} + 78445x^{6} + 119819x^{4} + 87030x^{2} + 22801 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 121.1 | ||
Root | \(-3.17690i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 930.121 |
Dual form | 930.2.bg.c.661.1 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{8}{15}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.809017 | + | 0.587785i | −0.572061 | + | 0.415627i | ||||
\(3\) | 0.104528 | − | 0.994522i | 0.0603495 | − | 0.574187i | ||||
\(4\) | 0.309017 | − | 0.951057i | 0.154508 | − | 0.475528i | ||||
\(5\) | 0.500000 | − | 0.866025i | 0.223607 | − | 0.387298i | ||||
\(6\) | 0.500000 | + | 0.866025i | 0.204124 | + | 0.353553i | ||||
\(7\) | −1.89605 | + | 0.403018i | −0.716641 | + | 0.152327i | −0.551779 | − | 0.833990i | \(-0.686051\pi\) |
−0.164861 | + | 0.986317i | \(0.552718\pi\) | |||||||
\(8\) | 0.309017 | + | 0.951057i | 0.109254 | + | 0.336249i | ||||
\(9\) | −0.978148 | − | 0.207912i | −0.326049 | − | 0.0693039i | ||||
\(10\) | 0.104528 | + | 0.994522i | 0.0330548 | + | 0.314495i | ||||
\(11\) | 0.662442 | + | 0.735716i | 0.199734 | + | 0.221827i | 0.834688 | − | 0.550723i | \(-0.185648\pi\) |
−0.634955 | + | 0.772550i | \(0.718981\pi\) | |||||||
\(12\) | −0.913545 | − | 0.406737i | −0.263718 | − | 0.117415i | ||||
\(13\) | 3.59101 | − | 1.59882i | 0.995968 | − | 0.443434i | 0.156991 | − | 0.987600i | \(-0.449821\pi\) |
0.838977 | + | 0.544166i | \(0.183154\pi\) | |||||||
\(14\) | 1.29705 | − | 1.44052i | 0.346651 | − | 0.384995i | ||||
\(15\) | −0.809017 | − | 0.587785i | −0.208887 | − | 0.151765i | ||||
\(16\) | −0.809017 | − | 0.587785i | −0.202254 | − | 0.146946i | ||||
\(17\) | 1.32709 | − | 1.47388i | 0.321867 | − | 0.357469i | −0.560397 | − | 0.828224i | \(-0.689352\pi\) |
0.882264 | + | 0.470755i | \(0.156018\pi\) | |||||||
\(18\) | 0.913545 | − | 0.406737i | 0.215325 | − | 0.0958687i | ||||
\(19\) | −3.68670 | − | 1.64142i | −0.845787 | − | 0.376568i | −0.0623607 | − | 0.998054i | \(-0.519863\pi\) |
−0.783426 | + | 0.621485i | \(0.786530\pi\) | |||||||
\(20\) | −0.669131 | − | 0.743145i | −0.149622 | − | 0.166172i | ||||
\(21\) | 0.202619 | + | 1.92779i | 0.0442151 | + | 0.420679i | ||||
\(22\) | −0.968370 | − | 0.205833i | −0.206457 | − | 0.0438838i | ||||
\(23\) | −0.256838 | − | 0.790465i | −0.0535544 | − | 0.164823i | 0.920702 | − | 0.390266i | \(-0.127617\pi\) |
−0.974256 | + | 0.225443i | \(0.927617\pi\) | |||||||
\(24\) | 0.978148 | − | 0.207912i | 0.199664 | − | 0.0424398i | ||||
\(25\) | −0.500000 | − | 0.866025i | −0.100000 | − | 0.173205i | ||||
\(26\) | −1.96543 | + | 3.40422i | −0.385452 | + | 0.667622i | ||||
\(27\) | −0.309017 | + | 0.951057i | −0.0594703 | + | 0.183031i | ||||
\(28\) | −0.202619 | + | 1.92779i | −0.0382914 | + | 0.364319i | ||||
\(29\) | 5.80144 | − | 4.21499i | 1.07730 | − | 0.782705i | 0.100090 | − | 0.994978i | \(-0.468087\pi\) |
0.977210 | + | 0.212274i | \(0.0680868\pi\) | |||||||
\(30\) | 1.00000 | 0.182574 | ||||||||
\(31\) | 5.00360 | − | 2.44212i | 0.898673 | − | 0.438618i | ||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 0.800930 | − | 0.581910i | 0.139424 | − | 0.101297i | ||||
\(34\) | −0.207312 | + | 1.97244i | −0.0355537 | + | 0.338271i | ||||
\(35\) | −0.599002 | + | 1.84354i | −0.101250 | + | 0.311615i | ||||
\(36\) | −0.500000 | + | 0.866025i | −0.0833333 | + | 0.144338i | ||||
\(37\) | −5.84779 | − | 10.1287i | −0.961370 | − | 1.66514i | −0.719066 | − | 0.694942i | \(-0.755430\pi\) |
−0.242304 | − | 0.970200i | \(-0.577903\pi\) | |||||||
\(38\) | 3.94741 | − | 0.839047i | 0.640354 | − | 0.136111i | ||||
\(39\) | −1.21470 | − | 3.73846i | −0.194508 | − | 0.598633i | ||||
\(40\) | 0.978148 | + | 0.207912i | 0.154659 | + | 0.0328737i | ||||
\(41\) | 0.392166 | + | 3.73121i | 0.0612461 | + | 0.582718i | 0.981509 | + | 0.191417i | \(0.0613082\pi\) |
−0.920263 | + | 0.391301i | \(0.872025\pi\) | |||||||
\(42\) | −1.29705 | − | 1.44052i | −0.200139 | − | 0.222277i | ||||
\(43\) | −9.85284 | − | 4.38677i | −1.50254 | − | 0.668975i | −0.519857 | − | 0.854253i | \(-0.674015\pi\) |
−0.982686 | + | 0.185278i | \(0.940682\pi\) | |||||||
\(44\) | 0.904413 | − | 0.402671i | 0.136345 | − | 0.0607049i | ||||
\(45\) | −0.669131 | + | 0.743145i | −0.0997481 | + | 0.110781i | ||||
\(46\) | 0.672410 | + | 0.488534i | 0.0991414 | + | 0.0720305i | ||||
\(47\) | −8.50120 | − | 6.17648i | −1.24003 | − | 0.900933i | −0.242427 | − | 0.970170i | \(-0.577944\pi\) |
−0.997600 | + | 0.0692367i | \(0.977944\pi\) | |||||||
\(48\) | −0.669131 | + | 0.743145i | −0.0965807 | + | 0.107264i | ||||
\(49\) | −2.96223 | + | 1.31887i | −0.423175 | + | 0.188410i | ||||
\(50\) | 0.913545 | + | 0.406737i | 0.129195 | + | 0.0575212i | ||||
\(51\) | −1.32709 | − | 1.47388i | −0.185830 | − | 0.206385i | ||||
\(52\) | −0.410886 | − | 3.90932i | −0.0569797 | − | 0.542125i | ||||
\(53\) | 2.55555 | + | 0.543200i | 0.351032 | + | 0.0746142i | 0.380053 | − | 0.924965i | \(-0.375906\pi\) |
−0.0290211 | + | 0.999579i | \(0.509239\pi\) | |||||||
\(54\) | −0.309017 | − | 0.951057i | −0.0420519 | − | 0.129422i | ||||
\(55\) | 0.968370 | − | 0.205833i | 0.130575 | − | 0.0277546i | ||||
\(56\) | −0.969206 | − | 1.67871i | −0.129516 | − | 0.224328i | ||||
\(57\) | −2.01780 | + | 3.49493i | −0.267264 | + | 0.462914i | ||||
\(58\) | −2.21595 | + | 6.82000i | −0.290969 | + | 0.895510i | ||||
\(59\) | −0.329023 | + | 3.13045i | −0.0428352 | + | 0.407549i | 0.952004 | + | 0.306085i | \(0.0990193\pi\) |
−0.994839 | + | 0.101464i | \(0.967647\pi\) | |||||||
\(60\) | −0.809017 | + | 0.587785i | −0.104444 | + | 0.0758827i | ||||
\(61\) | −3.14596 | −0.402799 | −0.201400 | − | 0.979509i | \(-0.564549\pi\) | ||||
−0.201400 | + | 0.979509i | \(0.564549\pi\) | |||||||
\(62\) | −2.61255 | + | 4.91676i | −0.331795 | + | 0.624430i | ||||
\(63\) | 1.93841 | 0.244217 | ||||||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | 0.410886 | − | 3.90932i | 0.0509642 | − | 0.484892i | ||||
\(66\) | −0.305928 | + | 0.941549i | −0.0376571 | + | 0.115897i | ||||
\(67\) | −4.08861 | + | 7.08167i | −0.499503 | + | 0.865164i | −1.00000 | 0.000574109i | \(-0.999817\pi\) | |
0.500497 | + | 0.865738i | \(0.333151\pi\) | |||||||
\(68\) | −0.991653 | − | 1.71759i | −0.120256 | − | 0.208289i | ||||
\(69\) | −0.812982 | + | 0.172805i | −0.0978715 | + | 0.0208032i | ||||
\(70\) | −0.599002 | − | 1.84354i | −0.0715944 | − | 0.220345i | ||||
\(71\) | 8.87799 | + | 1.88707i | 1.05362 | + | 0.223955i | 0.701993 | − | 0.712184i | \(-0.252294\pi\) |
0.351631 | + | 0.936139i | \(0.385627\pi\) | |||||||
\(72\) | −0.104528 | − | 0.994522i | −0.0123188 | − | 0.117206i | ||||
\(73\) | −7.84748 | − | 8.71551i | −0.918479 | − | 1.02007i | −0.999727 | − | 0.0233799i | \(-0.992557\pi\) |
0.0812480 | − | 0.996694i | \(-0.474109\pi\) | |||||||
\(74\) | 10.6844 | + | 4.75702i | 1.24204 | + | 0.552992i | ||||
\(75\) | −0.913545 | + | 0.406737i | −0.105487 | + | 0.0469659i | ||||
\(76\) | −2.70034 | + | 2.99903i | −0.309750 | + | 0.344012i | ||||
\(77\) | −1.55253 | − | 1.12798i | −0.176927 | − | 0.128545i | ||||
\(78\) | 3.18013 | + | 2.31050i | 0.360079 | + | 0.261612i | ||||
\(79\) | 3.77541 | − | 4.19302i | 0.424767 | − | 0.471751i | −0.492334 | − | 0.870406i | \(-0.663856\pi\) |
0.917101 | + | 0.398655i | \(0.130523\pi\) | |||||||
\(80\) | −0.913545 | + | 0.406737i | −0.102137 | + | 0.0454745i | ||||
\(81\) | 0.913545 | + | 0.406737i | 0.101505 | + | 0.0451930i | ||||
\(82\) | −2.51042 | − | 2.78811i | −0.277230 | − | 0.307895i | ||||
\(83\) | −0.434582 | − | 4.13478i | −0.0477016 | − | 0.453851i | −0.992137 | − | 0.125154i | \(-0.960057\pi\) |
0.944436 | − | 0.328696i | \(-0.106609\pi\) | |||||||
\(84\) | 1.89605 | + | 0.403018i | 0.206876 | + | 0.0439729i | ||||
\(85\) | −0.612875 | − | 1.88624i | −0.0664757 | − | 0.204591i | ||||
\(86\) | 10.5496 | − | 2.24238i | 1.13759 | − | 0.241802i | ||||
\(87\) | −3.58549 | − | 6.21025i | −0.384405 | − | 0.665808i | ||||
\(88\) | −0.495002 | + | 0.857368i | −0.0527674 | + | 0.0913958i | ||||
\(89\) | 4.05819 | − | 12.4898i | 0.430167 | − | 1.32392i | −0.467791 | − | 0.883839i | \(-0.654950\pi\) |
0.897958 | − | 0.440080i | \(-0.145050\pi\) | |||||||
\(90\) | 0.104528 | − | 0.994522i | 0.0110183 | − | 0.104832i | ||||
\(91\) | −6.16440 | + | 4.47870i | −0.646204 | + | 0.469495i | ||||
\(92\) | −0.831144 | −0.0866528 | ||||||||
\(93\) | −1.90573 | − | 5.23146i | −0.197615 | − | 0.542477i | ||||
\(94\) | 10.5081 | 1.08382 | ||||||||
\(95\) | −3.26486 | + | 2.37206i | −0.334968 | + | 0.243368i | ||||
\(96\) | 0.104528 | − | 0.994522i | 0.0106684 | − | 0.101503i | ||||
\(97\) | 5.42487 | − | 16.6960i | 0.550812 | − | 1.69523i | −0.155942 | − | 0.987766i | \(-0.549841\pi\) |
0.706754 | − | 0.707459i | \(-0.250159\pi\) | |||||||
\(98\) | 1.62128 | − | 2.80814i | 0.163774 | − | 0.283665i | ||||
\(99\) | −0.495002 | − | 0.857368i | −0.0497496 | − | 0.0861688i | ||||
\(100\) | −0.978148 | + | 0.207912i | −0.0978148 | + | 0.0207912i | ||||
\(101\) | 2.85594 | + | 8.78967i | 0.284176 | + | 0.874605i | 0.986644 | + | 0.162890i | \(0.0520815\pi\) |
−0.702468 | + | 0.711716i | \(0.747919\pi\) | |||||||
\(102\) | 1.93997 | + | 0.412353i | 0.192085 | + | 0.0408290i | ||||
\(103\) | −0.112606 | − | 1.07138i | −0.0110954 | − | 0.105566i | 0.987573 | − | 0.157164i | \(-0.0502351\pi\) |
−0.998668 | + | 0.0515983i | \(0.983568\pi\) | |||||||
\(104\) | 2.63026 | + | 2.92119i | 0.257918 | + | 0.286447i | ||||
\(105\) | 1.77083 | + | 0.788423i | 0.172815 | + | 0.0769422i | ||||
\(106\) | −2.38677 | + | 1.06266i | −0.231824 | + | 0.103215i | ||||
\(107\) | 8.52962 | − | 9.47310i | 0.824589 | − | 0.915799i | −0.173019 | − | 0.984918i | \(-0.555352\pi\) |
0.997608 | + | 0.0691195i | \(0.0220190\pi\) | |||||||
\(108\) | 0.809017 | + | 0.587785i | 0.0778477 | + | 0.0565597i | ||||
\(109\) | 0.275724 | + | 0.200325i | 0.0264096 | + | 0.0191877i | 0.600912 | − | 0.799315i | \(-0.294804\pi\) |
−0.574502 | + | 0.818503i | \(0.694804\pi\) | |||||||
\(110\) | −0.662442 | + | 0.735716i | −0.0631613 | + | 0.0701478i | ||||
\(111\) | −10.6844 | + | 4.75702i | −1.01412 | + | 0.451516i | ||||
\(112\) | 1.77083 | + | 0.788423i | 0.167327 | + | 0.0744990i | ||||
\(113\) | 13.6539 | + | 15.1642i | 1.28445 | + | 1.42652i | 0.850843 | + | 0.525420i | \(0.176092\pi\) |
0.433605 | + | 0.901103i | \(0.357241\pi\) | |||||||
\(114\) | −0.421834 | − | 4.01349i | −0.0395084 | − | 0.375897i | ||||
\(115\) | −0.812982 | − | 0.172805i | −0.0758109 | − | 0.0161141i | ||||
\(116\) | −2.21595 | − | 6.82000i | −0.205746 | − | 0.633221i | ||||
\(117\) | −3.84496 | + | 0.817271i | −0.355466 | + | 0.0755567i | ||||
\(118\) | −1.57384 | − | 2.72598i | −0.144884 | − | 0.250947i | ||||
\(119\) | −1.92223 | + | 3.32940i | −0.176211 | + | 0.305206i | ||||
\(120\) | 0.309017 | − | 0.951057i | 0.0282093 | − | 0.0868192i | ||||
\(121\) | 1.04736 | − | 9.96500i | 0.0952149 | − | 0.905909i | ||||
\(122\) | 2.54514 | − | 1.84915i | 0.230426 | − | 0.167414i | ||||
\(123\) | 3.75177 | 0.338285 | ||||||||
\(124\) | −0.776400 | − | 5.51337i | −0.0697228 | − | 0.495115i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | −1.56821 | + | 1.13937i | −0.139707 | + | 0.101503i | ||||
\(127\) | −0.847793 | + | 8.06621i | −0.0752295 | + | 0.715761i | 0.890284 | + | 0.455406i | \(0.150506\pi\) |
−0.965513 | + | 0.260354i | \(0.916161\pi\) | |||||||
\(128\) | 0.309017 | − | 0.951057i | 0.0273135 | − | 0.0840623i | ||||
\(129\) | −5.39264 | + | 9.34032i | −0.474795 | + | 0.822369i | ||||
\(130\) | 1.96543 | + | 3.40422i | 0.172379 | + | 0.298570i | ||||
\(131\) | 6.83815 | − | 1.45349i | 0.597452 | − | 0.126992i | 0.100747 | − | 0.994912i | \(-0.467877\pi\) |
0.496705 | + | 0.867920i | \(0.334543\pi\) | |||||||
\(132\) | −0.305928 | − | 0.941549i | −0.0266276 | − | 0.0819514i | ||||
\(133\) | 7.65170 | + | 1.62642i | 0.663486 | + | 0.141028i | ||||
\(134\) | −0.854751 | − | 8.13242i | −0.0738393 | − | 0.702534i | ||||
\(135\) | 0.669131 | + | 0.743145i | 0.0575896 | + | 0.0639597i | ||||
\(136\) | 1.81184 | + | 0.806683i | 0.155364 | + | 0.0691725i | ||||
\(137\) | 7.50897 | − | 3.34321i | 0.641535 | − | 0.285630i | −0.0600719 | − | 0.998194i | \(-0.519133\pi\) |
0.701607 | + | 0.712564i | \(0.252466\pi\) | |||||||
\(138\) | 0.556144 | − | 0.617661i | 0.0473421 | − | 0.0525788i | ||||
\(139\) | 6.57678 | + | 4.77831i | 0.557835 | + | 0.405291i | 0.830666 | − | 0.556771i | \(-0.187960\pi\) |
−0.272831 | + | 0.962062i | \(0.587960\pi\) | |||||||
\(140\) | 1.56821 | + | 1.13937i | 0.132538 | + | 0.0962943i | ||||
\(141\) | −7.03127 | + | 7.80901i | −0.592139 | + | 0.657637i | ||||
\(142\) | −8.29164 | + | 3.69168i | −0.695819 | + | 0.309798i | ||||
\(143\) | 3.55512 | + | 1.58284i | 0.297294 | + | 0.132364i | ||||
\(144\) | 0.669131 | + | 0.743145i | 0.0557609 | + | 0.0619287i | ||||
\(145\) | −0.749571 | − | 7.13169i | −0.0622485 | − | 0.592255i | ||||
\(146\) | 11.4716 | + | 2.43836i | 0.949396 | + | 0.201800i | ||||
\(147\) | 1.00201 | + | 3.08386i | 0.0826441 | + | 0.254352i | ||||
\(148\) | −11.4400 | + | 2.43165i | −0.940362 | + | 0.199880i | ||||
\(149\) | 7.38511 | + | 12.7914i | 0.605012 | + | 1.04791i | 0.992050 | + | 0.125848i | \(0.0401650\pi\) |
−0.387038 | + | 0.922064i | \(0.626502\pi\) | |||||||
\(150\) | 0.500000 | − | 0.866025i | 0.0408248 | − | 0.0707107i | ||||
\(151\) | 1.31174 | − | 4.03711i | 0.106748 | − | 0.328536i | −0.883389 | − | 0.468641i | \(-0.844744\pi\) |
0.990137 | + | 0.140105i | \(0.0447440\pi\) | |||||||
\(152\) | 0.421834 | − | 4.01349i | 0.0342153 | − | 0.325537i | ||||
\(153\) | −1.60453 | + | 1.16576i | −0.129718 | + | 0.0942460i | ||||
\(154\) | 1.91903 | 0.154640 | ||||||||
\(155\) | 0.386860 | − | 5.55431i | 0.0310733 | − | 0.446133i | ||||
\(156\) | −3.93085 | −0.314720 | ||||||||
\(157\) | −19.8421 | + | 14.4161i | −1.58357 | + | 1.15053i | −0.671119 | + | 0.741349i | \(0.734186\pi\) |
−0.912452 | + | 0.409183i | \(0.865814\pi\) | |||||||
\(158\) | −0.589777 | + | 5.61135i | −0.0469201 | + | 0.446415i | ||||
\(159\) | 0.807352 | − | 2.48477i | 0.0640272 | − | 0.197055i | ||||
\(160\) | 0.500000 | − | 0.866025i | 0.0395285 | − | 0.0684653i | ||||
\(161\) | 0.805550 | + | 1.39525i | 0.0634862 | + | 0.109961i | ||||
\(162\) | −0.978148 | + | 0.207912i | −0.0768505 | + | 0.0163351i | ||||
\(163\) | 4.78591 | + | 14.7295i | 0.374861 | + | 1.15370i | 0.943572 | + | 0.331167i | \(0.107442\pi\) |
−0.568711 | + | 0.822538i | \(0.692558\pi\) | |||||||
\(164\) | 3.66978 | + | 0.780036i | 0.286562 | + | 0.0609106i | ||||
\(165\) | −0.103484 | − | 0.984580i | −0.00805618 | − | 0.0766495i | ||||
\(166\) | 2.78194 | + | 3.08966i | 0.215921 | + | 0.239804i | ||||
\(167\) | −7.99166 | − | 3.55811i | −0.618413 | − | 0.275335i | 0.0735237 | − | 0.997293i | \(-0.476576\pi\) |
−0.691937 | + | 0.721958i | \(0.743242\pi\) | |||||||
\(168\) | −1.77083 | + | 0.788423i | −0.136622 | + | 0.0608282i | ||||
\(169\) | 1.64045 | − | 1.82191i | 0.126189 | − | 0.140147i | ||||
\(170\) | 1.60453 | + | 1.16576i | 0.123062 | + | 0.0894096i | ||||
\(171\) | 3.26486 | + | 2.37206i | 0.249670 | + | 0.181396i | ||||
\(172\) | −7.21676 | + | 8.01502i | −0.550272 | + | 0.611139i | ||||
\(173\) | 2.64735 | − | 1.17867i | 0.201274 | − | 0.0896129i | −0.303624 | − | 0.952792i | \(-0.598197\pi\) |
0.504898 | + | 0.863179i | \(0.331530\pi\) | |||||||
\(174\) | 6.55101 | + | 2.91670i | 0.496631 | + | 0.221114i | ||||
\(175\) | 1.29705 | + | 1.44052i | 0.0980478 | + | 0.108893i | ||||
\(176\) | −0.103484 | − | 0.984580i | −0.00780037 | − | 0.0742155i | ||||
\(177\) | 3.07890 | + | 0.654441i | 0.231425 | + | 0.0491908i | ||||
\(178\) | 4.05819 | + | 12.4898i | 0.304174 | + | 0.936152i | ||||
\(179\) | −8.21502 | + | 1.74616i | −0.614019 | + | 0.130514i | −0.504415 | − | 0.863462i | \(-0.668292\pi\) |
−0.109604 | + | 0.993975i | \(0.534958\pi\) | |||||||
\(180\) | 0.500000 | + | 0.866025i | 0.0372678 | + | 0.0645497i | ||||
\(181\) | 4.76038 | − | 8.24522i | 0.353836 | − | 0.612862i | −0.633082 | − | 0.774085i | \(-0.718210\pi\) |
0.986918 | + | 0.161222i | \(0.0515437\pi\) | |||||||
\(182\) | 2.35459 | − | 7.24668i | 0.174534 | − | 0.537160i | ||||
\(183\) | −0.328842 | + | 3.12873i | −0.0243087 | + | 0.231282i | ||||
\(184\) | 0.672410 | − | 0.488534i | 0.0495707 | − | 0.0360152i | ||||
\(185\) | −11.6956 | −0.859876 | ||||||||
\(186\) | 4.61674 | + | 3.11218i | 0.338516 | + | 0.228196i | ||||
\(187\) | 1.96348 | 0.143584 | ||||||||
\(188\) | −8.50120 | + | 6.17648i | −0.620014 | + | 0.450466i | ||||
\(189\) | 0.202619 | − | 1.92779i | 0.0147384 | − | 0.140226i | ||||
\(190\) | 1.24707 | − | 3.83808i | 0.0904717 | − | 0.278443i | ||||
\(191\) | −11.8019 | + | 20.4415i | −0.853957 | + | 1.47910i | 0.0236526 | + | 0.999720i | \(0.492470\pi\) |
−0.877609 | + | 0.479376i | \(0.840863\pi\) | |||||||
\(192\) | 0.500000 | + | 0.866025i | 0.0360844 | + | 0.0625000i | ||||
\(193\) | 18.4984 | − | 3.93196i | 1.33154 | − | 0.283029i | 0.513454 | − | 0.858117i | \(-0.328366\pi\) |
0.818091 | + | 0.575089i | \(0.195032\pi\) | |||||||
\(194\) | 5.42487 | + | 16.6960i | 0.389483 | + | 1.19871i | ||||
\(195\) | −3.84496 | − | 0.817271i | −0.275343 | − | 0.0585260i | ||||
\(196\) | 0.338940 | + | 3.22480i | 0.0242100 | + | 0.230343i | ||||
\(197\) | −3.10907 | − | 3.45297i | −0.221512 | − | 0.246014i | 0.622138 | − | 0.782908i | \(-0.286264\pi\) |
−0.843650 | + | 0.536894i | \(0.819598\pi\) | |||||||
\(198\) | 0.904413 | + | 0.402671i | 0.0642739 | + | 0.0286166i | ||||
\(199\) | −3.80388 | + | 1.69360i | −0.269650 | + | 0.120056i | −0.537108 | − | 0.843514i | \(-0.680483\pi\) |
0.267458 | + | 0.963570i | \(0.413816\pi\) | |||||||
\(200\) | 0.669131 | − | 0.743145i | 0.0473147 | − | 0.0525483i | ||||
\(201\) | 6.61550 | + | 4.80644i | 0.466622 | + | 0.339020i | ||||
\(202\) | −7.47694 | − | 5.43232i | −0.526076 | − | 0.382217i | ||||
\(203\) | −9.30112 | + | 10.3299i | −0.652810 | + | 0.725020i | ||||
\(204\) | −1.81184 | + | 0.806683i | −0.126854 | + | 0.0564791i | ||||
\(205\) | 3.42741 | + | 1.52598i | 0.239381 | + | 0.106579i | ||||
\(206\) | 0.720839 | + | 0.800573i | 0.0502232 | + | 0.0557785i | ||||
\(207\) | 0.0868782 | + | 0.826591i | 0.00603846 | + | 0.0574521i | ||||
\(208\) | −3.84496 | − | 0.817271i | −0.266600 | − | 0.0566675i | ||||
\(209\) | −1.23460 | − | 3.79971i | −0.0853991 | − | 0.262832i | ||||
\(210\) | −1.89605 | + | 0.403018i | −0.130840 | + | 0.0278109i | ||||
\(211\) | 2.12131 | + | 3.67421i | 0.146037 | + | 0.252943i | 0.929759 | − | 0.368168i | \(-0.120015\pi\) |
−0.783723 | + | 0.621111i | \(0.786682\pi\) | |||||||
\(212\) | 1.30632 | − | 2.26262i | 0.0897186 | − | 0.155397i | ||||
\(213\) | 2.80474 | − | 8.63210i | 0.192178 | − | 0.591462i | ||||
\(214\) | −1.33246 | + | 12.6775i | −0.0910849 | + | 0.866615i | ||||
\(215\) | −8.72547 | + | 6.33942i | −0.595072 | + | 0.432345i | ||||
\(216\) | −1.00000 | −0.0680414 | ||||||||
\(217\) | −8.50287 | + | 6.64694i | −0.577213 | + | 0.451224i | ||||
\(218\) | −0.340814 | −0.0230828 | ||||||||
\(219\) | −9.48806 | + | 6.89348i | −0.641143 | + | 0.465818i | ||||
\(220\) | 0.103484 | − | 0.984580i | 0.00697686 | − | 0.0663804i | ||||
\(221\) | 2.40912 | − | 7.41452i | 0.162055 | − | 0.498755i | ||||
\(222\) | 5.84779 | − | 10.1287i | 0.392478 | − | 0.679791i | ||||
\(223\) | 10.0076 | + | 17.3337i | 0.670161 | + | 1.16075i | 0.977858 | + | 0.209269i | \(0.0671084\pi\) |
−0.307697 | + | 0.951484i | \(0.599558\pi\) | |||||||
\(224\) | −1.89605 | + | 0.403018i | −0.126685 | + | 0.0269278i | ||||
\(225\) | 0.309017 | + | 0.951057i | 0.0206011 | + | 0.0634038i | ||||
\(226\) | −19.9595 | − | 4.24252i | −1.32768 | − | 0.282208i | ||||
\(227\) | −0.600613 | − | 5.71445i | −0.0398641 | − | 0.379281i | −0.996206 | − | 0.0870301i | \(-0.972262\pi\) |
0.956342 | − | 0.292251i | \(-0.0944043\pi\) | |||||||
\(228\) | 2.70034 | + | 2.99903i | 0.178834 | + | 0.198616i | ||||
\(229\) | 6.33125 | + | 2.81885i | 0.418380 | + | 0.186275i | 0.605120 | − | 0.796135i | \(-0.293125\pi\) |
−0.186739 | + | 0.982410i | \(0.559792\pi\) | |||||||
\(230\) | 0.759288 | − | 0.338057i | 0.0500660 | − | 0.0222908i | ||||
\(231\) | −1.28408 | + | 1.42612i | −0.0844866 | + | 0.0938318i | ||||
\(232\) | 5.80144 | + | 4.21499i | 0.380883 | + | 0.276728i | ||||
\(233\) | −17.6636 | − | 12.8333i | −1.15718 | − | 0.840740i | −0.167761 | − | 0.985828i | \(-0.553654\pi\) |
−0.989419 | + | 0.145087i | \(0.953654\pi\) | |||||||
\(234\) | 2.63026 | − | 2.92119i | 0.171945 | − | 0.190964i | ||||
\(235\) | −9.59959 | + | 4.27401i | −0.626208 | + | 0.278806i | ||||
\(236\) | 2.87556 | + | 1.28028i | 0.187183 | + | 0.0833392i | ||||
\(237\) | −3.77541 | − | 4.19302i | −0.245239 | − | 0.272366i | ||||
\(238\) | −0.401856 | − | 3.82340i | −0.0260484 | − | 0.247834i | ||||
\(239\) | 0.677273 | + | 0.143959i | 0.0438092 | + | 0.00931192i | 0.229764 | − | 0.973246i | \(-0.426205\pi\) |
−0.185955 | + | 0.982558i | \(0.559538\pi\) | |||||||
\(240\) | 0.309017 | + | 0.951057i | 0.0199470 | + | 0.0613904i | ||||
\(241\) | 28.6393 | − | 6.08748i | 1.84482 | − | 0.392129i | 0.853229 | − | 0.521536i | \(-0.174641\pi\) |
0.991592 | + | 0.129407i | \(0.0413074\pi\) | |||||||
\(242\) | 5.00995 | + | 8.67748i | 0.322052 | + | 0.557810i | ||||
\(243\) | 0.500000 | − | 0.866025i | 0.0320750 | − | 0.0555556i | ||||
\(244\) | −0.972155 | + | 2.99199i | −0.0622359 | + | 0.191542i | ||||
\(245\) | −0.338940 | + | 3.22480i | −0.0216541 | + | 0.206025i | ||||
\(246\) | −3.03524 | + | 2.20523i | −0.193520 | + | 0.140601i | ||||
\(247\) | −15.8633 | −1.00936 | ||||||||
\(248\) | 3.86880 | + | 4.00405i | 0.245669 | + | 0.254257i | ||||
\(249\) | −4.15755 | −0.263474 | ||||||||
\(250\) | 0.809017 | − | 0.587785i | 0.0511667 | − | 0.0371748i | ||||
\(251\) | −1.10796 | + | 10.5415i | −0.0699337 | + | 0.665375i | 0.902259 | + | 0.431194i | \(0.141908\pi\) |
−0.972193 | + | 0.234181i | \(0.924759\pi\) | |||||||
\(252\) | 0.599002 | − | 1.84354i | 0.0377336 | − | 0.116132i | ||||
\(253\) | 0.411418 | − | 0.712597i | 0.0258656 | − | 0.0448006i | ||||
\(254\) | −4.05532 | − | 7.02402i | −0.254454 | − | 0.440726i | ||||
\(255\) | −1.93997 | + | 0.412353i | −0.121485 | + | 0.0258225i | ||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | 1.19238 | + | 0.253447i | 0.0743784 | + | 0.0158096i | 0.244951 | − | 0.969536i | \(-0.421228\pi\) |
−0.170572 | + | 0.985345i | \(0.554562\pi\) | |||||||
\(258\) | −1.12737 | − | 10.7262i | −0.0701869 | − | 0.667783i | ||||
\(259\) | 15.1697 | + | 16.8477i | 0.942602 | + | 1.04687i | ||||
\(260\) | −3.59101 | − | 1.59882i | −0.222705 | − | 0.0991548i | ||||
\(261\) | −6.55101 | + | 2.91670i | −0.405497 | + | 0.180539i | ||||
\(262\) | −4.67784 | + | 5.19527i | −0.288998 | + | 0.320965i | ||||
\(263\) | 4.39568 | + | 3.19365i | 0.271049 | + | 0.196929i | 0.715004 | − | 0.699120i | \(-0.246425\pi\) |
−0.443955 | + | 0.896049i | \(0.646425\pi\) | |||||||
\(264\) | 0.800930 | + | 0.581910i | 0.0492938 | + | 0.0358141i | ||||
\(265\) | 1.74820 | − | 1.94157i | 0.107391 | − | 0.119270i | ||||
\(266\) | −7.14634 | + | 3.18175i | −0.438170 | + | 0.195086i | ||||
\(267\) | −11.9972 | − | 5.34150i | −0.734218 | − | 0.326895i | ||||
\(268\) | 5.47162 | + | 6.07685i | 0.334233 | + | 0.371203i | ||||
\(269\) | 2.18450 | + | 20.7841i | 0.133191 | + | 1.26723i | 0.833151 | + | 0.553046i | \(0.186535\pi\) |
−0.699959 | + | 0.714183i | \(0.746799\pi\) | |||||||
\(270\) | −0.978148 | − | 0.207912i | −0.0595282 | − | 0.0126531i | ||||
\(271\) | 0.0791185 | + | 0.243502i | 0.00480611 | + | 0.0147917i | 0.953431 | − | 0.301612i | \(-0.0975247\pi\) |
−0.948625 | + | 0.316403i | \(0.897525\pi\) | |||||||
\(272\) | −1.93997 | + | 0.412353i | −0.117628 | + | 0.0250025i | ||||
\(273\) | 3.80981 | + | 6.59878i | 0.230580 | + | 0.399376i | ||||
\(274\) | −4.10980 | + | 7.11838i | −0.248282 | + | 0.430037i | ||||
\(275\) | 0.305928 | − | 0.941549i | 0.0184482 | − | 0.0567776i | ||||
\(276\) | −0.0868782 | + | 0.826591i | −0.00522946 | + | 0.0497549i | ||||
\(277\) | −3.47856 | + | 2.52732i | −0.209007 | + | 0.151852i | −0.687364 | − | 0.726313i | \(-0.741232\pi\) |
0.478357 | + | 0.878165i | \(0.341232\pi\) | |||||||
\(278\) | −8.12934 | −0.487566 | ||||||||
\(279\) | −5.40201 | + | 1.34845i | −0.323410 | + | 0.0807296i | ||||
\(280\) | −1.93841 | −0.115842 | ||||||||
\(281\) | −1.72401 | + | 1.25256i | −0.102846 | + | 0.0747217i | −0.638019 | − | 0.770020i | \(-0.720246\pi\) |
0.535174 | + | 0.844742i | \(0.320246\pi\) | |||||||
\(282\) | 1.09839 | − | 10.4505i | 0.0654083 | − | 0.622318i | ||||
\(283\) | −1.48483 | + | 4.56983i | −0.0882639 | + | 0.271648i | −0.985440 | − | 0.170025i | \(-0.945615\pi\) |
0.897176 | + | 0.441674i | \(0.145615\pi\) | |||||||
\(284\) | 4.53816 | − | 7.86033i | 0.269290 | − | 0.466425i | ||||
\(285\) | 2.01780 | + | 3.49493i | 0.119524 | + | 0.207022i | ||||
\(286\) | −3.80652 | + | 0.809101i | −0.225084 | + | 0.0478431i | ||||
\(287\) | −2.24732 | − | 6.91653i | −0.132655 | − | 0.408270i | ||||
\(288\) | −0.978148 | − | 0.207912i | −0.0576379 | − | 0.0122513i | ||||
\(289\) | 1.36582 | + | 12.9949i | 0.0803424 | + | 0.764407i | ||||
\(290\) | 4.79832 | + | 5.32907i | 0.281767 | + | 0.312934i | ||||
\(291\) | −16.0375 | − | 7.14036i | −0.940136 | − | 0.418575i | ||||
\(292\) | −10.7140 | + | 4.77016i | −0.626987 | + | 0.279152i | ||||
\(293\) | 8.38145 | − | 9.30855i | 0.489650 | − | 0.543811i | −0.446790 | − | 0.894639i | \(-0.647433\pi\) |
0.936440 | + | 0.350828i | \(0.114100\pi\) | |||||||
\(294\) | −2.62329 | − | 1.90593i | −0.152993 | − | 0.111156i | ||||
\(295\) | 2.54653 | + | 1.85017i | 0.148265 | + | 0.107721i | ||||
\(296\) | 7.82587 | − | 8.69150i | 0.454869 | − | 0.505183i | ||||
\(297\) | −0.904413 | + | 0.402671i | −0.0524794 | + | 0.0233653i | ||||
\(298\) | −13.4933 | − | 6.00759i | −0.781644 | − | 0.348010i | ||||
\(299\) | −2.18612 | − | 2.42793i | −0.126427 | − | 0.140411i | ||||
\(300\) | 0.104528 | + | 0.994522i | 0.00603495 | + | 0.0574187i | ||||
\(301\) | 20.4494 | + | 4.34666i | 1.17869 | + | 0.250537i | ||||
\(302\) | 1.31174 | + | 4.03711i | 0.0754820 | + | 0.232310i | ||||
\(303\) | 9.04005 | − | 1.92152i | 0.519337 | − | 0.110389i | ||||
\(304\) | 2.01780 | + | 3.49493i | 0.115729 | + | 0.200448i | ||||
\(305\) | −1.57298 | + | 2.72448i | −0.0900686 | + | 0.156003i | ||||
\(306\) | 0.612875 | − | 1.88624i | 0.0350358 | − | 0.107829i | ||||
\(307\) | 0.961221 | − | 9.14541i | 0.0548598 | − | 0.521956i | −0.932239 | − | 0.361843i | \(-0.882148\pi\) |
0.987099 | − | 0.160113i | \(-0.0511858\pi\) | |||||||
\(308\) | −1.55253 | + | 1.12798i | −0.0884637 | + | 0.0642726i | ||||
\(309\) | −1.07728 | −0.0612841 | ||||||||
\(310\) | 2.95176 | + | 4.72092i | 0.167649 | + | 0.268130i | ||||
\(311\) | 19.9975 | 1.13396 | 0.566978 | − | 0.823733i | \(-0.308112\pi\) | ||||
0.566978 | + | 0.823733i | \(0.308112\pi\) | |||||||
\(312\) | 3.18013 | − | 2.31050i | 0.180039 | − | 0.130806i | ||||
\(313\) | 1.74624 | − | 16.6143i | 0.0987032 | − | 0.939098i | −0.827345 | − | 0.561694i | \(-0.810150\pi\) |
0.926048 | − | 0.377405i | \(-0.123183\pi\) | |||||||
\(314\) | 7.57901 | − | 23.3258i | 0.427708 | − | 1.31635i | ||||
\(315\) | 0.969206 | − | 1.67871i | 0.0546086 | − | 0.0945848i | ||||
\(316\) | −2.82113 | − | 4.88634i | −0.158701 | − | 0.274878i | ||||
\(317\) | −11.2265 | + | 2.38627i | −0.630544 | + | 0.134026i | −0.512088 | − | 0.858933i | \(-0.671128\pi\) |
−0.118456 | + | 0.992959i | \(0.537794\pi\) | |||||||
\(318\) | 0.807352 | + | 2.48477i | 0.0452740 | + | 0.139339i | ||||
\(319\) | 6.94416 | + | 1.47603i | 0.388798 | + | 0.0826416i | ||||
\(320\) | 0.104528 | + | 0.994522i | 0.00584332 | + | 0.0555955i | ||||
\(321\) | −8.52962 | − | 9.47310i | −0.476077 | − | 0.528737i | ||||
\(322\) | −1.47181 | − | 0.655293i | −0.0820209 | − | 0.0365181i | ||||
\(323\) | −7.31185 | + | 3.25545i | −0.406842 | + | 0.181138i | ||||
\(324\) | 0.669131 | − | 0.743145i | 0.0371739 | − | 0.0412858i | ||||
\(325\) | −3.18013 | − | 2.31050i | −0.176402 | − | 0.128163i | ||||
\(326\) | −12.5297 | − | 9.10334i | −0.693954 | − | 0.504187i | ||||
\(327\) | 0.228049 | − | 0.253274i | 0.0126111 | − | 0.0140061i | ||||
\(328\) | −3.42741 | + | 1.52598i | −0.189247 | + | 0.0842582i | ||||
\(329\) | 18.6080 | + | 8.28480i | 1.02589 | + | 0.456756i | ||||
\(330\) | 0.662442 | + | 0.735716i | 0.0364662 | + | 0.0404998i | ||||
\(331\) | −2.55375 | − | 24.2973i | −0.140367 | − | 1.33550i | −0.807192 | − | 0.590288i | \(-0.799014\pi\) |
0.666825 | − | 0.745214i | \(-0.267653\pi\) | |||||||
\(332\) | −4.06670 | − | 0.864403i | −0.223189 | − | 0.0474403i | ||||
\(333\) | 3.61413 | + | 11.1232i | 0.198053 | + | 0.609545i | ||||
\(334\) | 8.55679 | − | 1.81880i | 0.468207 | − | 0.0995204i | ||||
\(335\) | 4.08861 | + | 7.08167i | 0.223384 | + | 0.386913i | ||||
\(336\) | 0.969206 | − | 1.67871i | 0.0528745 | − | 0.0915813i | ||||
\(337\) | −5.64515 | + | 17.3740i | −0.307511 | + | 0.946421i | 0.671218 | + | 0.741260i | \(0.265772\pi\) |
−0.978728 | + | 0.205160i | \(0.934228\pi\) | |||||||
\(338\) | −0.256264 | + | 2.43819i | −0.0139389 | + | 0.132620i | ||||
\(339\) | 16.5083 | − | 11.9940i | 0.896608 | − | 0.651424i | ||||
\(340\) | −1.98331 | −0.107560 | ||||||||
\(341\) | 5.11130 | + | 2.06347i | 0.276793 | + | 0.111743i | ||||
\(342\) | −4.03559 | −0.218220 | ||||||||
\(343\) | 16.0625 | − | 11.6701i | 0.867292 | − | 0.630124i | ||||
\(344\) | 1.12737 | − | 10.7262i | 0.0607836 | − | 0.578317i | ||||
\(345\) | −0.256838 | + | 0.790465i | −0.0138277 | + | 0.0425572i | ||||
\(346\) | −1.44894 | + | 2.50964i | −0.0778955 | + | 0.134919i | ||||
\(347\) | −1.96005 | − | 3.39490i | −0.105221 | − | 0.182248i | 0.808608 | − | 0.588348i | \(-0.200222\pi\) |
−0.913828 | + | 0.406101i | \(0.866888\pi\) | |||||||
\(348\) | −7.01427 | + | 1.49093i | −0.376004 | + | 0.0799222i | ||||
\(349\) | 3.05773 | + | 9.41072i | 0.163676 | + | 0.503744i | 0.998936 | − | 0.0461111i | \(-0.0146828\pi\) |
−0.835260 | + | 0.549855i | \(0.814683\pi\) | |||||||
\(350\) | −1.89605 | − | 0.403018i | −0.101348 | − | 0.0215422i | ||||
\(351\) | 0.410886 | + | 3.90932i | 0.0219315 | + | 0.208664i | ||||
\(352\) | 0.662442 | + | 0.735716i | 0.0353083 | + | 0.0392138i | ||||
\(353\) | 16.7457 | + | 7.45567i | 0.891284 | + | 0.396825i | 0.800701 | − | 0.599064i | \(-0.204460\pi\) |
0.0905829 | + | 0.995889i | \(0.471127\pi\) | |||||||
\(354\) | −2.87556 | + | 1.28028i | −0.152834 | + | 0.0680461i | ||||
\(355\) | 6.07325 | − | 6.74503i | 0.322335 | − | 0.357989i | ||||
\(356\) | −10.6245 | − | 7.71914i | −0.563097 | − | 0.409114i | ||||
\(357\) | 3.11024 | + | 2.25972i | 0.164611 | + | 0.119597i | ||||
\(358\) | 5.61972 | − | 6.24133i | 0.297012 | − | 0.329865i | ||||
\(359\) | −3.90293 | + | 1.73770i | −0.205989 | + | 0.0917121i | −0.507138 | − | 0.861865i | \(-0.669296\pi\) |
0.301149 | + | 0.953577i | \(0.402630\pi\) | |||||||
\(360\) | −0.913545 | − | 0.406737i | −0.0481481 | − | 0.0214369i | ||||
\(361\) | −1.81601 | − | 2.01688i | −0.0955795 | − | 0.106152i | ||||
\(362\) | 0.995191 | + | 9.46861i | 0.0523061 | + | 0.497659i | ||||
\(363\) | −9.80093 | − | 2.08325i | −0.514416 | − | 0.109342i | ||||
\(364\) | 2.35459 | + | 7.24668i | 0.123414 | + | 0.379829i | ||||
\(365\) | −11.4716 | + | 2.43836i | −0.600451 | + | 0.127630i | ||||
\(366\) | −1.57298 | − | 2.72448i | −0.0822210 | − | 0.142411i | ||||
\(367\) | −6.42411 | + | 11.1269i | −0.335336 | + | 0.580819i | −0.983549 | − | 0.180640i | \(-0.942183\pi\) |
0.648213 | + | 0.761459i | \(0.275516\pi\) | |||||||
\(368\) | −0.256838 | + | 0.790465i | −0.0133886 | + | 0.0412058i | ||||
\(369\) | 0.392166 | − | 3.73121i | 0.0204154 | − | 0.194239i | ||||
\(370\) | 9.46192 | − | 6.87449i | 0.491902 | − | 0.357387i | ||||
\(371\) | −5.06438 | −0.262930 | ||||||||
\(372\) | −5.56432 | + | 0.195843i | −0.288496 | + | 0.0101540i | ||||
\(373\) | 17.2124 | 0.891227 | 0.445613 | − | 0.895226i | \(-0.352986\pi\) | ||||
0.445613 | + | 0.895226i | \(0.352986\pi\) | |||||||
\(374\) | −1.58849 | + | 1.15410i | −0.0821388 | + | 0.0596773i | ||||
\(375\) | −0.104528 | + | 0.994522i | −0.00539783 | + | 0.0513569i | ||||
\(376\) | 3.24717 | − | 9.99376i | 0.167460 | − | 0.515389i | ||||
\(377\) | 14.0940 | − | 24.4116i | 0.725880 | − | 1.25726i | ||||
\(378\) | 0.969206 | + | 1.67871i | 0.0498506 | + | 0.0863437i | ||||
\(379\) | −23.6673 | + | 5.03064i | −1.21571 | + | 0.258407i | −0.770746 | − | 0.637143i | \(-0.780116\pi\) |
−0.444962 | + | 0.895549i | \(0.646783\pi\) | |||||||
\(380\) | 1.24707 | + | 3.83808i | 0.0639732 | + | 0.196889i | ||||
\(381\) | 7.93341 | + | 1.68630i | 0.406441 | + | 0.0863916i | ||||
\(382\) | −2.46727 | − | 23.4745i | −0.126237 | − | 1.20106i | ||||
\(383\) | 14.1536 | + | 15.7192i | 0.723217 | + | 0.803214i | 0.986889 | − | 0.161398i | \(-0.0516004\pi\) |
−0.263672 | + | 0.964612i | \(0.584934\pi\) | |||||||
\(384\) | −0.913545 | − | 0.406737i | −0.0466192 | − | 0.0207562i | ||||
\(385\) | −1.75313 | + | 0.780542i | −0.0893475 | + | 0.0397801i | ||||
\(386\) | −12.6544 | + | 14.0541i | −0.644091 | + | 0.715336i | ||||
\(387\) | 8.72547 | + | 6.33942i | 0.443540 | + | 0.322251i | ||||
\(388\) | −14.2025 | − | 10.3187i | −0.721022 | − | 0.523853i | ||||
\(389\) | −23.2987 | + | 25.8758i | −1.18129 | + | 1.31196i | −0.241420 | + | 0.970421i | \(0.577613\pi\) |
−0.939869 | + | 0.341535i | \(0.889053\pi\) | |||||||
\(390\) | 3.59101 | − | 1.59882i | 0.181838 | − | 0.0809595i | ||||
\(391\) | −1.50590 | − | 0.670470i | −0.0761567 | − | 0.0339071i | ||||
\(392\) | −2.16970 | − | 2.40969i | −0.109586 | − | 0.121708i | ||||
\(393\) | −0.730750 | − | 6.95262i | −0.0368615 | − | 0.350713i | ||||
\(394\) | 4.54490 | + | 0.966048i | 0.228969 | + | 0.0486688i | ||||
\(395\) | −1.74355 | − | 5.36611i | −0.0877277 | − | 0.269998i | ||||
\(396\) | −0.968370 | + | 0.205833i | −0.0486624 | + | 0.0103435i | ||||
\(397\) | −0.724278 | − | 1.25449i | −0.0363505 | − | 0.0629609i | 0.847278 | − | 0.531150i | \(-0.178240\pi\) |
−0.883628 | + | 0.468189i | \(0.844907\pi\) | |||||||
\(398\) | 2.08193 | − | 3.60601i | 0.104358 | − | 0.180753i | ||||
\(399\) | 2.41733 | − | 7.43977i | 0.121018 | − | 0.372455i | ||||
\(400\) | −0.104528 | + | 0.994522i | −0.00522642 | + | 0.0497261i | ||||
\(401\) | 17.3862 | − | 12.6318i | 0.868227 | − | 0.630804i | −0.0618838 | − | 0.998083i | \(-0.519711\pi\) |
0.930111 | + | 0.367280i | \(0.119711\pi\) | |||||||
\(402\) | −8.17721 | −0.407842 | ||||||||
\(403\) | 14.0635 | − | 16.7696i | 0.700552 | − | 0.835352i | ||||
\(404\) | 9.24201 | 0.459807 | ||||||||
\(405\) | 0.809017 | − | 0.587785i | 0.0402004 | − | 0.0292073i | ||||
\(406\) | 1.45298 | − | 13.8242i | 0.0721101 | − | 0.686081i | ||||
\(407\) | 3.57800 | − | 11.0120i | 0.177355 | − | 0.545843i | ||||
\(408\) | 0.991653 | − | 1.71759i | 0.0490941 | − | 0.0850336i | ||||
\(409\) | 1.86853 | + | 3.23639i | 0.0923929 | + | 0.160029i | 0.908518 | − | 0.417847i | \(-0.137215\pi\) |
−0.816125 | + | 0.577876i | \(0.803882\pi\) | |||||||
\(410\) | −3.66978 | + | 0.780036i | −0.181238 | + | 0.0385232i | ||||
\(411\) | −2.53999 | − | 7.81730i | −0.125289 | − | 0.385599i | ||||
\(412\) | −1.05374 | − | 0.223978i | −0.0519138 | − | 0.0110346i | ||||
\(413\) | −0.637782 | − | 6.06809i | −0.0313832 | − | 0.298591i | ||||
\(414\) | −0.556144 | − | 0.617661i | −0.0273330 | − | 0.0303564i | ||||
\(415\) | −3.79811 | − | 1.69103i | −0.186442 | − | 0.0830093i | ||||
\(416\) | 3.59101 | − | 1.59882i | 0.176064 | − | 0.0783887i | ||||
\(417\) | 5.43959 | − | 6.04128i | 0.266378 | − | 0.295843i | ||||
\(418\) | 3.23223 | + | 2.34835i | 0.158093 | + | 0.114862i | ||||
\(419\) | −17.4557 | − | 12.6823i | −0.852768 | − | 0.619572i | 0.0731396 | − | 0.997322i | \(-0.476698\pi\) |
−0.925908 | + | 0.377749i | \(0.876698\pi\) | |||||||
\(420\) | 1.29705 | − | 1.44052i | 0.0632896 | − | 0.0702902i | ||||
\(421\) | −2.14882 | + | 0.956718i | −0.104727 | + | 0.0466276i | −0.458432 | − | 0.888730i | \(-0.651589\pi\) |
0.353704 | + | 0.935357i | \(0.384922\pi\) | |||||||
\(422\) | −3.87582 | − | 1.72563i | −0.188672 | − | 0.0840021i | ||||
\(423\) | 7.03127 | + | 7.80901i | 0.341872 | + | 0.379687i | ||||
\(424\) | 0.273096 | + | 2.59833i | 0.0132627 | + | 0.126186i | ||||
\(425\) | −1.93997 | − | 0.412353i | −0.0941022 | − | 0.0200020i | ||||
\(426\) | 2.80474 | + | 8.63210i | 0.135890 | + | 0.418227i | ||||
\(427\) | 5.96491 | − | 1.26788i | 0.288662 | − | 0.0613570i | ||||
\(428\) | −6.37366 | − | 11.0395i | −0.308082 | − | 0.533614i | ||||
\(429\) | 1.94578 | − | 3.37019i | 0.0939432 | − | 0.162714i | ||||
\(430\) | 3.33283 | − | 10.2574i | 0.160723 | − | 0.494656i | ||||
\(431\) | 1.06986 | − | 10.1790i | 0.0515333 | − | 0.490306i | −0.938066 | − | 0.346456i | \(-0.887385\pi\) |
0.989599 | − | 0.143850i | \(-0.0459484\pi\) | |||||||
\(432\) | 0.809017 | − | 0.587785i | 0.0389238 | − | 0.0282798i | ||||
\(433\) | 21.9143 | 1.05313 | 0.526566 | − | 0.850134i | \(-0.323479\pi\) | ||||
0.526566 | + | 0.850134i | \(0.323479\pi\) | |||||||
\(434\) | 2.97199 | − | 10.3753i | 0.142660 | − | 0.498033i | ||||
\(435\) | −7.17098 | −0.343822 | ||||||||
\(436\) | 0.275724 | − | 0.200325i | 0.0132048 | − | 0.00959385i | ||||
\(437\) | −0.350605 | + | 3.33579i | −0.0167717 | + | 0.159572i | ||||
\(438\) | 3.62411 | − | 11.1539i | 0.173167 | − | 0.532953i | ||||
\(439\) | −4.98576 | + | 8.63558i | −0.237957 | + | 0.412154i | −0.960128 | − | 0.279561i | \(-0.909811\pi\) |
0.722171 | + | 0.691715i | \(0.243144\pi\) | |||||||
\(440\) | 0.495002 | + | 0.857368i | 0.0235983 | + | 0.0408734i | ||||
\(441\) | 3.17170 | − | 0.674166i | 0.151033 | − | 0.0321032i | ||||
\(442\) | 2.40912 | + | 7.41452i | 0.114590 | + | 0.352673i | ||||
\(443\) | −30.7700 | − | 6.54036i | −1.46193 | − | 0.310742i | −0.592806 | − | 0.805345i | \(-0.701980\pi\) |
−0.869119 | + | 0.494603i | \(0.835313\pi\) | |||||||
\(444\) | 1.22252 | + | 11.6315i | 0.0580182 | + | 0.552007i | ||||
\(445\) | −8.78741 | − | 9.75941i | −0.416563 | − | 0.462641i | ||||
\(446\) | −18.2849 | − | 8.14095i | −0.865814 | − | 0.385485i | ||||
\(447\) | 13.4933 | − | 6.00759i | 0.638210 | − | 0.284149i | ||||
\(448\) | 1.29705 | − | 1.44052i | 0.0612799 | − | 0.0680582i | ||||
\(449\) | 9.41379 | + | 6.83952i | 0.444264 | + | 0.322777i | 0.787327 | − | 0.616536i | \(-0.211464\pi\) |
−0.343063 | + | 0.939312i | \(0.611464\pi\) | |||||||
\(450\) | −0.809017 | − | 0.587785i | −0.0381374 | − | 0.0277085i | ||||
\(451\) | −2.48533 | + | 2.76024i | −0.117029 | + | 0.129974i | ||||
\(452\) | 18.6412 | − | 8.29962i | 0.876810 | − | 0.390381i | ||||
\(453\) | −3.87788 | − | 1.72655i | −0.182199 | − | 0.0811202i | ||||
\(454\) | 3.84477 | + | 4.27005i | 0.180444 | + | 0.200404i | ||||
\(455\) | 0.796467 | + | 7.57787i | 0.0373389 | + | 0.355256i | ||||
\(456\) | −3.94741 | − | 0.839047i | −0.184854 | − | 0.0392920i | ||||
\(457\) | 6.95641 | + | 21.4096i | 0.325407 | + | 1.00150i | 0.971256 | + | 0.238035i | \(0.0765034\pi\) |
−0.645849 | + | 0.763465i | \(0.723497\pi\) | |||||||
\(458\) | −6.77896 | + | 1.44091i | −0.316760 | + | 0.0673295i | ||||
\(459\) | 0.991653 | + | 1.71759i | 0.0462864 | + | 0.0801704i | ||||
\(460\) | −0.415572 | + | 0.719792i | −0.0193762 | + | 0.0335605i | ||||
\(461\) | 12.9799 | − | 39.9481i | 0.604535 | − | 1.86057i | 0.104577 | − | 0.994517i | \(-0.466651\pi\) |
0.499958 | − | 0.866050i | \(-0.333349\pi\) | |||||||
\(462\) | 0.200594 | − | 1.90852i | 0.00933247 | − | 0.0887925i | ||||
\(463\) | −14.6521 | + | 10.6453i | −0.680939 | + | 0.494731i | −0.873669 | − | 0.486521i | \(-0.838266\pi\) |
0.192730 | + | 0.981252i | \(0.438266\pi\) | |||||||
\(464\) | −7.17098 | −0.332904 | ||||||||
\(465\) | −5.48344 | − | 0.965324i | −0.254289 | − | 0.0447658i | ||||
\(466\) | 21.8334 | 1.01141 | ||||||||
\(467\) | 1.14562 | − | 0.832344i | 0.0530131 | − | 0.0385163i | −0.560963 | − | 0.827841i | \(-0.689569\pi\) |
0.613976 | + | 0.789325i | \(0.289569\pi\) | |||||||
\(468\) | −0.410886 | + | 3.90932i | −0.0189932 | + | 0.180708i | ||||
\(469\) | 4.89817 | − | 15.0750i | 0.226176 | − | 0.696099i | ||||
\(470\) | 5.25403 | − | 9.10025i | 0.242350 | − | 0.419763i | ||||
\(471\) | 12.2631 | + | 21.2403i | 0.565053 | + | 0.978701i | ||||
\(472\) | −3.07890 | + | 0.654441i | −0.141718 | + | 0.0301231i | ||||
\(473\) | −3.29952 | − | 10.1549i | −0.151712 | − | 0.466921i | ||||
\(474\) | 5.51896 | + | 1.17309i | 0.253494 | + | 0.0538819i | ||||
\(475\) | 0.421834 | + | 4.01349i | 0.0193551 | + | 0.184151i | ||||
\(476\) | 2.57245 | + | 2.85699i | 0.117908 | + | 0.130950i | ||||
\(477\) | −2.38677 | − | 1.06266i | −0.109283 | − | 0.0486558i | ||||
\(478\) | −0.632542 | + | 0.281626i | −0.0289318 | + | 0.0128813i | ||||
\(479\) | −1.80663 | + | 2.00646i | −0.0825469 | + | 0.0916777i | −0.783003 | − | 0.622018i | \(-0.786313\pi\) |
0.700456 | + | 0.713695i | \(0.252980\pi\) | |||||||
\(480\) | −0.809017 | − | 0.587785i | −0.0369264 | − | 0.0268286i | ||||
\(481\) | −37.1934 | − | 27.0226i | −1.69587 | − | 1.23212i | ||||
\(482\) | −19.5916 | + | 21.7586i | −0.892372 | + | 0.991079i | ||||
\(483\) | 1.47181 | − | 0.655293i | 0.0669698 | − | 0.0298169i | ||||
\(484\) | −9.15363 | − | 4.07546i | −0.416074 | − | 0.185248i | ||||
\(485\) | −11.7468 | − | 13.0461i | −0.533393 | − | 0.592392i | ||||
\(486\) | 0.104528 | + | 0.994522i | 0.00474151 | + | 0.0451124i | ||||
\(487\) | 28.8539 | + | 6.13308i | 1.30749 | + | 0.277916i | 0.808401 | − | 0.588632i | \(-0.200333\pi\) |
0.499093 | + | 0.866549i | \(0.333667\pi\) | |||||||
\(488\) | −0.972155 | − | 2.99199i | −0.0440074 | − | 0.135441i | ||||
\(489\) | 15.1491 | − | 3.22004i | 0.685065 | − | 0.145615i | ||||
\(490\) | −1.62128 | − | 2.80814i | −0.0732420 | − | 0.126859i | ||||
\(491\) | −9.29616 | + | 16.1014i | −0.419530 | + | 0.726647i | −0.995892 | − | 0.0905474i | \(-0.971138\pi\) |
0.576362 | + | 0.817194i | \(0.304472\pi\) | |||||||
\(492\) | 1.15936 | − | 3.56814i | 0.0522680 | − | 0.160864i | ||||
\(493\) | 1.48663 | − | 14.1443i | 0.0669544 | − | 0.637029i | ||||
\(494\) | 12.8337 | − | 9.32423i | 0.577416 | − | 0.419517i | ||||
\(495\) | −0.990004 | −0.0444974 | ||||||||
\(496\) | −5.48344 | − | 0.965324i | −0.246214 | − | 0.0433443i | ||||
\(497\) | −17.5937 | −0.789183 | ||||||||
\(498\) | 3.36353 | − | 2.44375i | 0.150723 | − | 0.109507i | ||||
\(499\) | 2.99215 | − | 28.4684i | 0.133947 | − | 1.27442i | −0.696594 | − | 0.717465i | \(-0.745302\pi\) |
0.830541 | − | 0.556957i | \(-0.188031\pi\) | |||||||
\(500\) | −0.309017 | + | 0.951057i | −0.0138197 | + | 0.0425325i | ||||
\(501\) | −4.37398 | + | 7.57595i | −0.195415 | + | 0.338469i | ||||
\(502\) | −5.29979 | − | 9.17951i | −0.236541 | − | 0.409702i | ||||
\(503\) | −21.3916 | + | 4.54693i | −0.953805 | + | 0.202738i | −0.658428 | − | 0.752643i | \(-0.728778\pi\) |
−0.295377 | + | 0.955381i | \(0.595445\pi\) | |||||||
\(504\) | 0.599002 | + | 1.84354i | 0.0266817 | + | 0.0821178i | ||||
\(505\) | 9.04005 | + | 1.92152i | 0.402277 | + | 0.0855066i | ||||
\(506\) | 0.0860098 | + | 0.818328i | 0.00382360 | + | 0.0363791i | ||||
\(507\) | −1.64045 | − | 1.82191i | −0.0728550 | − | 0.0809137i | ||||
\(508\) | 7.40944 | + | 3.29890i | 0.328741 | + | 0.146365i | ||||
\(509\) | 6.23185 | − | 2.77460i | 0.276222 | − | 0.122982i | −0.263951 | − | 0.964536i | \(-0.585026\pi\) |
0.540173 | + | 0.841554i | \(0.318359\pi\) | |||||||
\(510\) | 1.32709 | − | 1.47388i | 0.0587646 | − | 0.0652647i | ||||
\(511\) | 18.3918 | + | 13.3624i | 0.813603 | + | 0.591117i | ||||
\(512\) | −0.809017 | − | 0.587785i | −0.0357538 | − | 0.0259767i | ||||
\(513\) | 2.70034 | − | 2.99903i | 0.119223 | − | 0.132410i | ||||
\(514\) | −1.11362 | + | 0.495818i | −0.0491199 | + | 0.0218696i | ||||
\(515\) | −0.984141 | − | 0.438168i | −0.0433664 | − | 0.0193080i | ||||
\(516\) | 7.21676 | + | 8.01502i | 0.317700 | + | 0.352842i | ||||
\(517\) | −1.08741 | − | 10.3460i | −0.0478243 | − | 0.455018i | ||||
\(518\) | −22.1754 | − | 4.71353i | −0.974332 | − | 0.207101i | ||||
\(519\) | −0.895494 | − | 2.75605i | −0.0393078 | − | 0.120977i | ||||
\(520\) | 3.84496 | − | 0.817271i | 0.168612 | − | 0.0358397i | ||||
\(521\) | 9.13612 | + | 15.8242i | 0.400261 | + | 0.693272i | 0.993757 | − | 0.111565i | \(-0.0355863\pi\) |
−0.593497 | + | 0.804837i | \(0.702253\pi\) | |||||||
\(522\) | 3.58549 | − | 6.21025i | 0.156933 | − | 0.271815i | ||||
\(523\) | 10.9393 | − | 33.6676i | 0.478340 | − | 1.47218i | −0.363059 | − | 0.931766i | \(-0.618268\pi\) |
0.841399 | − | 0.540414i | \(-0.181732\pi\) | |||||||
\(524\) | 0.730750 | − | 6.95262i | 0.0319230 | − | 0.303727i | ||||
\(525\) | 1.56821 | − | 1.13937i | 0.0684422 | − | 0.0497262i | ||||
\(526\) | −5.43336 | −0.236906 | ||||||||
\(527\) | 3.04083 | − | 10.6156i | 0.132461 | − | 0.462425i | ||||
\(528\) | −0.990004 | −0.0430844 | ||||||||
\(529\) | 18.0485 | − | 13.1130i | 0.784718 | − | 0.570131i | ||||
\(530\) | −0.273096 | + | 2.59833i | −0.0118625 | + | 0.112864i | ||||
\(531\) | 0.972689 | − | 2.99363i | 0.0422111 | − | 0.129912i | ||||
\(532\) | 3.91132 | − | 6.77461i | 0.169577 | − | 0.293716i | ||||
\(533\) | 7.37383 | + | 12.7718i | 0.319396 | + | 0.553210i | ||||
\(534\) | 12.8456 | − | 2.73042i | 0.555884 | − | 0.118157i | ||||
\(535\) | −3.93914 | − | 12.1234i | −0.170304 | − | 0.524141i | ||||
\(536\) | −7.99852 | − | 1.70014i | −0.345483 | − | 0.0734348i | ||||
\(537\) | 0.877887 | + | 8.35254i | 0.0378836 | + | 0.360439i | ||||
\(538\) | −13.9839 | − | 15.5307i | −0.602888 | − | 0.669575i | ||||
\(539\) | −2.93262 | − | 1.30568i | −0.126317 | − | 0.0562398i | ||||
\(540\) | 0.913545 | − | 0.406737i | 0.0393127 | − | 0.0175032i | ||||
\(541\) | 24.2092 | − | 26.8871i | 1.04084 | − | 1.15597i | 0.0532989 | − | 0.998579i | \(-0.483026\pi\) |
0.987537 | − | 0.157387i | \(-0.0503069\pi\) | |||||||
\(542\) | −0.207135 | − | 0.150492i | −0.00889721 | − | 0.00646420i | ||||
\(543\) | −7.70246 | − | 5.59616i | −0.330544 | − | 0.240154i | ||||
\(544\) | 1.32709 | − | 1.47388i | 0.0568986 | − | 0.0631922i | ||||
\(545\) | 0.311349 | − | 0.138622i | 0.0133367 | − | 0.00593790i | ||||
\(546\) | −6.96086 | − | 3.09918i | −0.297897 | − | 0.132632i | ||||
\(547\) | 26.5590 | + | 29.4967i | 1.13558 | + | 1.26119i | 0.961001 | + | 0.276546i | \(0.0891898\pi\) |
0.174579 | + | 0.984643i | \(0.444144\pi\) | |||||||
\(548\) | −0.859182 | − | 8.17457i | −0.0367024 | − | 0.349200i | ||||
\(549\) | 3.07721 | + | 0.654082i | 0.131332 | + | 0.0279155i | ||||
\(550\) | 0.305928 | + | 0.941549i | 0.0130448 | + | 0.0401478i | ||||
\(551\) | −28.3068 | + | 6.01679i | −1.20591 | + | 0.256324i | ||||
\(552\) | −0.415572 | − | 0.719792i | −0.0176879 | − | 0.0306364i | ||||
\(553\) | −5.46851 | + | 9.47174i | −0.232545 | + | 0.402779i | ||||
\(554\) | 1.32869 | − | 4.08930i | 0.0564508 | − | 0.173738i | ||||
\(555\) | −1.22252 | + | 11.6315i | −0.0518931 | + | 0.493730i | ||||
\(556\) | 6.57678 | − | 4.77831i | 0.278917 | − | 0.202645i | ||||
\(557\) | 20.9574 | 0.887994 | 0.443997 | − | 0.896028i | \(-0.353560\pi\) | ||||
0.443997 | + | 0.896028i | \(0.353560\pi\) | |||||||
\(558\) | 3.57772 | − | 4.26614i | 0.151457 | − | 0.180600i | ||||
\(559\) | −42.3953 | −1.79313 | ||||||||
\(560\) | 1.56821 | − | 1.13937i | 0.0662689 | − | 0.0481472i | ||||
\(561\) | 0.205240 | − | 1.95272i | 0.00866522 | − | 0.0824441i | ||||
\(562\) | 0.658512 | − | 2.02669i | 0.0277776 | − | 0.0854908i | ||||
\(563\) | 21.7457 | − | 37.6647i | 0.916473 | − | 1.58738i | 0.111742 | − | 0.993737i | \(-0.464357\pi\) |
0.804730 | − | 0.593640i | \(-0.202310\pi\) | |||||||
\(564\) | 5.25403 | + | 9.10025i | 0.221235 | + | 0.383190i | ||||
\(565\) | 19.9595 | − | 4.24252i | 0.839701 | − | 0.178484i | ||||
\(566\) | −1.48483 | − | 4.56983i | −0.0624120 | − | 0.192084i | ||||
\(567\) | −1.89605 | − | 0.403018i | −0.0796267 | − | 0.0169252i | ||||
\(568\) | 0.948735 | + | 9.02661i | 0.0398080 | + | 0.378748i | ||||
\(569\) | −12.6547 | − | 14.0544i | −0.530512 | − | 0.589193i | 0.417003 | − | 0.908905i | \(-0.363080\pi\) |
−0.947515 | + | 0.319712i | \(0.896414\pi\) | |||||||
\(570\) | −3.68670 | − | 1.64142i | −0.154419 | − | 0.0687517i | ||||
\(571\) | 21.2154 | − | 9.44571i | 0.887837 | − | 0.395291i | 0.0884317 | − | 0.996082i | \(-0.471814\pi\) |
0.799406 | + | 0.600792i | \(0.205148\pi\) | |||||||
\(572\) | 2.60396 | − | 2.89199i | 0.108877 | − | 0.120920i | ||||
\(573\) | 19.0959 | + | 13.8740i | 0.797743 | + | 0.579594i | ||||
\(574\) | 5.88355 | + | 4.27465i | 0.245575 | + | 0.178420i | ||||
\(575\) | −0.556144 | + | 0.617661i | −0.0231928 | + | 0.0257582i | ||||
\(576\) | 0.913545 | − | 0.406737i | 0.0380644 | − | 0.0169474i | ||||
\(577\) | 13.2283 | + | 5.88960i | 0.550700 | + | 0.245187i | 0.663171 | − | 0.748468i | \(-0.269210\pi\) |
−0.112472 | + | 0.993655i | \(0.535877\pi\) | |||||||
\(578\) | −8.74319 | − | 9.71030i | −0.363669 | − | 0.403895i | ||||
\(579\) | −1.97681 | − | 18.8081i | −0.0821534 | − | 0.781637i | ||||
\(580\) | −7.01427 | − | 1.49093i | −0.291252 | − | 0.0619075i | ||||
\(581\) | 2.49038 | + | 7.66461i | 0.103318 | + | 0.317981i | ||||
\(582\) | 17.1716 | − | 3.64994i | 0.711787 | − | 0.151295i | ||||
\(583\) | 1.29326 | + | 2.24000i | 0.0535615 | + | 0.0927713i | ||||
\(584\) | 5.86394 | − | 10.1566i | 0.242652 | − | 0.420285i | ||||
\(585\) | −1.21470 | + | 3.73846i | −0.0502217 | + | 0.154566i | ||||
\(586\) | −1.30931 | + | 12.4573i | −0.0540872 | + | 0.514605i | ||||
\(587\) | 3.23387 | − | 2.34955i | 0.133476 | − | 0.0969761i | −0.519044 | − | 0.854748i | \(-0.673712\pi\) |
0.652520 | + | 0.757772i | \(0.273712\pi\) | |||||||
\(588\) | 3.24256 | 0.133721 | ||||||||
\(589\) | −22.4553 | + | 0.790342i | −0.925256 | + | 0.0325655i | ||||
\(590\) | −3.14769 | −0.129588 | ||||||||
\(591\) | −3.75904 | + | 2.73110i | −0.154626 | + | 0.112343i | ||||
\(592\) | −1.22252 | + | 11.6315i | −0.0502453 | + | 0.478052i | ||||
\(593\) | −8.99538 | + | 27.6849i | −0.369396 | + | 1.13688i | 0.577786 | + | 0.816188i | \(0.303917\pi\) |
−0.947182 | + | 0.320696i | \(0.896083\pi\) | |||||||
\(594\) | 0.495002 | − | 0.857368i | 0.0203102 | − | 0.0351782i | ||||
\(595\) | 1.92223 | + | 3.32940i | 0.0788038 | + | 0.136492i | ||||
\(596\) | 14.4475 | − | 3.07090i | 0.591791 | − | 0.125789i | ||||
\(597\) | 1.28671 | + | 3.96007i | 0.0526613 | + | 0.162075i | ||||
\(598\) | 3.19571 | + | 0.679270i | 0.130682 | + | 0.0277774i | ||||
\(599\) | 0.978343 | + | 9.30831i | 0.0399740 | + | 0.380327i | 0.996159 | + | 0.0875638i | \(0.0279082\pi\) |
−0.956185 | + | 0.292763i | \(0.905425\pi\) | |||||||
\(600\) | −0.669131 | − | 0.743145i | −0.0273171 | − | 0.0303388i | ||||
\(601\) | −27.0757 | − | 12.0549i | −1.10444 | − | 0.491730i | −0.228207 | − | 0.973613i | \(-0.573286\pi\) |
−0.876236 | + | 0.481883i | \(0.839953\pi\) | |||||||
\(602\) | −19.0989 | + | 8.50336i | −0.778411 | + | 0.346571i | ||||
\(603\) | 5.47162 | − | 6.07685i | 0.222822 | − | 0.247469i | ||||
\(604\) | −3.43417 | − | 2.49507i | −0.139735 | − | 0.101523i | ||||
\(605\) | −8.10626 | − | 5.88955i | −0.329566 | − | 0.239444i | ||||
\(606\) | −6.18411 | + | 6.86815i | −0.251212 | + | 0.279000i | ||||
\(607\) | −32.4913 | + | 14.4660i | −1.31878 | + | 0.587159i | −0.940897 | − | 0.338694i | \(-0.890015\pi\) |
−0.377884 | + | 0.925853i | \(0.623348\pi\) | |||||||
\(608\) | −3.68670 | − | 1.64142i | −0.149515 | − | 0.0665685i | ||||
\(609\) | 9.30112 | + | 10.3299i | 0.376900 | + | 0.418590i | ||||
\(610\) | −0.328842 | − | 3.12873i | −0.0133144 | − | 0.126678i | ||||
\(611\) | −40.4030 | − | 8.58793i | −1.63453 | − | 0.347431i | ||||
\(612\) | 0.612875 | + | 1.88624i | 0.0247740 | + | 0.0762466i | ||||
\(613\) | −25.8315 | + | 5.49066i | −1.04333 | + | 0.221766i | −0.697539 | − | 0.716547i | \(-0.745722\pi\) |
−0.345787 | + | 0.938313i | \(0.612388\pi\) | |||||||
\(614\) | 4.59789 | + | 7.96378i | 0.185556 | + | 0.321392i | ||||
\(615\) | 1.87588 | − | 3.24913i | 0.0756429 | − | 0.131017i | ||||
\(616\) | 0.593014 | − | 1.82511i | 0.0238932 | − | 0.0735358i | ||||
\(617\) | −5.01041 | + | 47.6709i | −0.201712 | + | 1.91916i | 0.160454 | + | 0.987043i | \(0.448704\pi\) |
−0.362166 | + | 0.932114i | \(0.617963\pi\) | |||||||
\(618\) | 0.871535 | − | 0.633207i | 0.0350583 | − | 0.0254713i | ||||
\(619\) | −31.2154 | −1.25465 | −0.627327 | − | 0.778756i | \(-0.715851\pi\) | ||||
−0.627327 | + | 0.778756i | \(0.715851\pi\) | |||||||
\(620\) | −5.16291 | − | 2.08430i | −0.207348 | − | 0.0837075i | ||||
\(621\) | 0.831144 | 0.0333527 | ||||||||
\(622\) | −16.1784 | + | 11.7543i | −0.648693 | + | 0.471303i | ||||
\(623\) | −2.66091 | + | 25.3169i | −0.106607 | + | 1.01430i | ||||
\(624\) | −1.21470 | + | 3.73846i | −0.0486270 | + | 0.149658i | ||||
\(625\) | −0.500000 | + | 0.866025i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | 8.35293 | + | 14.4677i | 0.333850 | + | 0.578246i | ||||
\(627\) | −3.90795 | + | 0.830660i | −0.156068 | + | 0.0331734i | ||||
\(628\) | 7.57901 | + | 23.3258i | 0.302435 | + | 0.930800i | ||||
\(629\) | −22.6890 | − | 4.82270i | −0.904670 | − | 0.192294i | ||||
\(630\) | 0.202619 | + | 1.92779i | 0.00807254 | + | 0.0768051i | ||||
\(631\) | −5.38188 | − | 5.97718i | −0.214249 | − | 0.237948i | 0.626435 | − | 0.779474i | \(-0.284513\pi\) |
−0.840684 | + | 0.541526i | \(0.817847\pi\) | |||||||
\(632\) | 5.15446 | + | 2.29491i | 0.205033 | + | 0.0912868i | ||||
\(633\) | 3.87582 | − | 1.72563i | 0.154050 | − | 0.0685874i | ||||
\(634\) | 7.67983 | − | 8.52931i | 0.305005 | − | 0.338742i | ||||
\(635\) | 6.56165 | + | 4.76732i | 0.260391 | + | 0.189185i | ||||
\(636\) | −2.11367 | − | 1.53567i | −0.0838126 | − | 0.0608935i | ||||
\(637\) | −8.52876 | + | 9.47215i | −0.337922 | + | 0.375300i | ||||
\(638\) | −6.48553 | + | 2.88754i | −0.256764 | + | 0.114319i | ||||
\(639\) | −8.29164 | − | 3.69168i | −0.328012 | − | 0.146040i | ||||
\(640\) | −0.669131 | − | 0.743145i | −0.0264497 | − | 0.0293754i | ||||
\(641\) | 0.344909 | + | 3.28159i | 0.0136231 | + | 0.129615i | 0.999220 | − | 0.0394988i | \(-0.0125761\pi\) |
−0.985597 | + | 0.169114i | \(0.945909\pi\) | |||||||
\(642\) | 12.4688 | + | 2.65031i | 0.492102 | + | 0.104600i | ||||
\(643\) | 2.13241 | + | 6.56288i | 0.0840941 | + | 0.258815i | 0.984258 | − | 0.176736i | \(-0.0565537\pi\) |
−0.900164 | + | 0.435550i | \(0.856554\pi\) | |||||||
\(644\) | 1.57589 | − | 0.334966i | 0.0620989 | − | 0.0131995i | ||||
\(645\) | 5.39264 | + | 9.34032i | 0.212335 | + | 0.367775i | ||||
\(646\) | 4.00191 | − | 6.93151i | 0.157453 | − | 0.272717i | ||||
\(647\) | 10.5575 | − | 32.4927i | 0.415059 | − | 1.27742i | −0.497140 | − | 0.867671i | \(-0.665616\pi\) |
0.912198 | − | 0.409749i | \(-0.134384\pi\) | |||||||
\(648\) | −0.104528 | + | 0.994522i | −0.00410627 | + | 0.0390685i | ||||
\(649\) | −2.52108 | + | 1.83167i | −0.0989610 | + | 0.0718994i | ||||
\(650\) | 3.93085 | 0.154181 | ||||||||
\(651\) | 5.72173 | + | 9.15109i | 0.224252 | + | 0.358659i | ||||
\(652\) | 15.4875 | 0.606538 | ||||||||
\(653\) | 9.20723 | − | 6.68944i | 0.360307 | − | 0.261778i | −0.392873 | − | 0.919593i | \(-0.628519\pi\) |
0.753180 | + | 0.657814i | \(0.228519\pi\) | |||||||
\(654\) | −0.0356248 | + | 0.338947i | −0.00139304 | + | 0.0132539i | ||||
\(655\) | 2.16031 | − | 6.64876i | 0.0844104 | − | 0.259789i | ||||
\(656\) | 1.87588 | − | 3.24913i | 0.0732410 | − | 0.126857i | ||||
\(657\) | 5.86394 | + | 10.1566i | 0.228774 | + | 0.396248i | ||||
\(658\) | −19.9238 | + | 4.23494i | −0.776712 | + | 0.165095i | ||||
\(659\) | 5.26998 | + | 16.2193i | 0.205289 | + | 0.631815i | 0.999701 | + | 0.0244360i | \(0.00777901\pi\) |
−0.794412 | + | 0.607379i | \(0.792221\pi\) | |||||||
\(660\) | −0.968370 | − | 0.205833i | −0.0376937 | − | 0.00801205i | ||||
\(661\) | −2.26486 | − | 21.5487i | −0.0880927 | − | 0.838146i | −0.945962 | − | 0.324278i | \(-0.894879\pi\) |
0.857869 | − | 0.513868i | \(-0.171788\pi\) | |||||||
\(662\) | 16.3476 | + | 18.1559i | 0.635369 | + | 0.705649i | ||||
\(663\) | −7.12208 | − | 3.17095i | −0.276599 | − | 0.123150i | ||||
\(664\) | 3.79811 | − | 1.69103i | 0.147395 | − | 0.0656246i | ||||
\(665\) | 5.23437 | − | 5.81336i | 0.202980 | − | 0.225432i | ||||
\(666\) | −9.46192 | − | 6.87449i | −0.366642 | − | 0.266381i | ||||
\(667\) | −4.82184 | − | 3.50327i | −0.186702 | − | 0.135647i | ||||
\(668\) | −5.85353 | + | 6.50100i | −0.226480 | + | 0.251531i | ||||
\(669\) | 18.2849 | − | 8.14095i | 0.706934 | − | 0.314747i | ||||
\(670\) | −7.47025 | − | 3.32597i | −0.288601 | − | 0.128493i | ||||
\(671\) | −2.08402 | − | 2.31453i | −0.0804525 | − | 0.0893516i | ||||
\(672\) | 0.202619 | + | 1.92779i | 0.00781620 | + | 0.0743662i | ||||
\(673\) | 39.2284 | + | 8.33824i | 1.51214 | + | 0.321416i | 0.887981 | − | 0.459880i | \(-0.152108\pi\) |
0.624161 | + | 0.781296i | \(0.285441\pi\) | |||||||
\(674\) | −5.64515 | − | 17.3740i | −0.217443 | − | 0.669220i | ||||
\(675\) | 0.978148 | − | 0.207912i | 0.0376489 | − | 0.00800252i | ||||
\(676\) | −1.22581 | − | 2.12316i | −0.0471465 | − | 0.0816601i | ||||
\(677\) | −3.60695 | + | 6.24743i | −0.138627 | + | 0.240108i | −0.926977 | − | 0.375118i | \(-0.877602\pi\) |
0.788350 | + | 0.615226i | \(0.210935\pi\) | |||||||
\(678\) | −6.30561 | + | 19.4067i | −0.242165 | + | 0.745309i | ||||
\(679\) | −3.55703 | + | 33.8429i | −0.136506 | + | 1.29877i | ||||
\(680\) | 1.60453 | − | 1.16576i | 0.0615309 | − | 0.0447048i | ||||
\(681\) | −5.74592 | −0.220184 | ||||||||
\(682\) | −5.34801 | + | 1.33497i | −0.204786 | + | 0.0511187i | ||||
\(683\) | −9.20534 | −0.352233 | −0.176116 | − | 0.984369i | \(-0.556353\pi\) | ||||
−0.176116 | + | 0.984369i | \(0.556353\pi\) | |||||||
\(684\) | 3.26486 | − | 2.37206i | 0.124835 | − | 0.0906981i | ||||
\(685\) | 0.859182 | − | 8.17457i | 0.0328276 | − | 0.312334i | ||||
\(686\) | −6.13532 | + | 18.8826i | −0.234247 | + | 0.720939i | ||||
\(687\) | 3.46521 | − | 6.00191i | 0.132206 | − | 0.228987i | ||||
\(688\) | 5.39264 | + | 9.34032i | 0.205592 | + | 0.356096i | ||||
\(689\) | 10.0455 | − | 2.13524i | 0.382703 | − | 0.0813461i | ||||
\(690\) | −0.256838 | − | 0.790465i | −0.00977764 | − | 0.0300925i | ||||
\(691\) | 37.7437 | + | 8.02266i | 1.43584 | + | 0.305196i | 0.859131 | − | 0.511756i | \(-0.171005\pi\) |
0.576705 | + | 0.816952i | \(0.304338\pi\) | |||||||
\(692\) | −0.302911 | − | 2.88201i | −0.0115149 | − | 0.109557i | ||||
\(693\) | 1.28408 | + | 1.42612i | 0.0487783 | + | 0.0541738i | ||||
\(694\) | 3.58118 | + | 1.59445i | 0.135940 | + | 0.0605243i | ||||
\(695\) | 7.42652 | − | 3.30650i | 0.281704 | − | 0.125423i | ||||
\(696\) | 4.79832 | − | 5.32907i | 0.181880 | − | 0.201998i | ||||
\(697\) | 6.01982 | + | 4.37365i | 0.228017 | + | 0.165664i | ||||
\(698\) | −8.00524 | − | 5.81614i | −0.303003 | − | 0.220144i | ||||
\(699\) | −14.6094 | + | 16.2254i | −0.552578 | + | 0.613700i | ||||
\(700\) | 1.77083 | − | 0.788423i | 0.0669310 | − | 0.0297996i | ||||
\(701\) | −34.9273 | − | 15.5506i | −1.31919 | − | 0.587339i | −0.378180 | − | 0.925732i | \(-0.623450\pi\) |
−0.941005 | + | 0.338393i | \(0.890117\pi\) | |||||||
\(702\) | −2.63026 | − | 2.92119i | −0.0992726 | − | 0.110253i | ||||
\(703\) | 4.93360 | + | 46.9400i | 0.186074 | + | 1.77038i | ||||
\(704\) | −0.968370 | − | 0.205833i | −0.0364968 | − | 0.00775764i | ||||
\(705\) | 3.24717 | + | 9.99376i | 0.122295 | + | 0.376387i | ||||
\(706\) | −17.9299 | + | 3.81112i | −0.674801 | + | 0.143433i | ||||
\(707\) | −8.95741 | − | 15.5147i | −0.336878 | − | 0.583490i | ||||
\(708\) | 1.57384 | − | 2.72598i | 0.0591487 | − | 0.102449i | ||||
\(709\) | 3.07117 | − | 9.45210i | 0.115340 | − | 0.354981i | −0.876677 | − | 0.481079i | \(-0.840245\pi\) |
0.992018 | + | 0.126097i | \(0.0402452\pi\) | |||||||
\(710\) | −0.948735 | + | 9.02661i | −0.0356054 | + | 0.338763i | ||||
\(711\) | −4.56468 | + | 3.31644i | −0.171189 | + | 0.124376i | ||||
\(712\) | 13.1326 | 0.492164 | ||||||||
\(713\) | −3.21553 | − | 3.32794i | −0.120422 | − | 0.124632i | ||||
\(714\) | −3.84446 | −0.143875 | ||||||||
\(715\) | 3.14834 | − | 2.28740i | 0.117741 | − | 0.0855440i | ||||
\(716\) | −0.877887 | + | 8.35254i | −0.0328082 | + | 0.312149i | ||||
\(717\) | 0.213965 | − | 0.658515i | 0.00799065 | − | 0.0245927i | ||||
\(718\) | 2.13614 | − | 3.69991i | 0.0797202 | − | 0.138079i | ||||
\(719\) | 4.83318 | + | 8.37132i | 0.180247 | + | 0.312197i | 0.941965 | − | 0.335712i | \(-0.108977\pi\) |
−0.761717 | + | 0.647909i | \(0.775644\pi\) | |||||||
\(720\) | 0.978148 | − | 0.207912i | 0.0364534 | − | 0.00774841i | ||||
\(721\) | 0.645291 | + | 1.98600i | 0.0240319 | + | 0.0739626i | ||||
\(722\) | 2.65468 | + | 0.564269i | 0.0987969 | + | 0.0209999i | ||||
\(723\) | −3.06050 | − | 29.1187i | −0.113821 | − | 1.08294i | ||||
\(724\) | −6.37063 | − | 7.07530i | −0.236763 | − | 0.262952i | ||||
\(725\) | −6.55101 | − | 2.91670i | −0.243298 | − | 0.108323i | ||||
\(726\) | 9.15363 | − | 4.07546i | 0.339723 | − | 0.151254i | ||||
\(727\) | 13.5659 | − | 15.0665i | 0.503133 | − | 0.558786i | −0.437058 | − | 0.899433i | \(-0.643980\pi\) |
0.940191 | + | 0.340647i | \(0.110646\pi\) | |||||||
\(728\) | −6.16440 | − | 4.47870i | −0.228468 | − | 0.165992i | ||||
\(729\) | −0.809017 | − | 0.587785i | −0.0299636 | − | 0.0217698i | ||||
\(730\) | 7.84748 | − | 8.71551i | 0.290448 | − | 0.322576i | ||||
\(731\) | −19.5412 | + | 8.70030i | −0.722757 | + | 0.321792i | ||||
\(732\) | 2.87398 | + | 1.27958i | 0.106225 | + | 0.0472945i | ||||
\(733\) | 4.93347 | + | 5.47918i | 0.182222 | + | 0.202378i | 0.827334 | − | 0.561710i | \(-0.189856\pi\) |
−0.645113 | + | 0.764088i | \(0.723190\pi\) | |||||||
\(734\) | −1.34301 | − | 12.7778i | −0.0495712 | − | 0.471639i | ||||
\(735\) | 3.17170 | + | 0.674166i | 0.116990 | + | 0.0248670i | ||||
\(736\) | −0.256838 | − | 0.790465i | −0.00946716 | − | 0.0291369i | ||||
\(737\) | −7.91856 | + | 1.68314i | −0.291684 | + | 0.0619994i | ||||
\(738\) | 1.87588 | + | 3.24913i | 0.0690522 | + | 0.119602i | ||||
\(739\) | −11.9891 | + | 20.7656i | −0.441024 | + | 0.763877i | −0.997766 | − | 0.0668092i | \(-0.978718\pi\) |
0.556741 | + | 0.830686i | \(0.312051\pi\) | |||||||
\(740\) | −3.61413 | + | 11.1232i | −0.132858 | + | 0.408895i | ||||
\(741\) | −1.65817 | + | 15.7764i | −0.0609144 | + | 0.579562i | ||||
\(742\) | 4.09717 | − | 2.97677i | 0.150412 | − | 0.109281i | ||||
\(743\) | −21.2624 | −0.780041 | −0.390020 | − | 0.920806i | \(-0.627532\pi\) | ||||
−0.390020 | + | 0.920806i | \(0.627532\pi\) | |||||||
\(744\) | 4.38652 | − | 3.42906i | 0.160817 | − | 0.125716i | ||||
\(745\) | 14.7702 | 0.541139 | ||||||||
\(746\) | −13.9252 | + | 10.1172i | −0.509836 | + | 0.370418i | ||||
\(747\) | −0.434582 | + | 4.13478i | −0.0159005 | + | 0.151284i | ||||
\(748\) | 0.606749 | − | 1.86738i | 0.0221849 | − | 0.0682782i | ||||
\(749\) | −12.3548 | + | 21.3991i | −0.451433 | + | 0.781906i | ||||
\(750\) | −0.500000 | − | 0.866025i | −0.0182574 | − | 0.0316228i | ||||
\(751\) | −10.2581 | + | 2.18044i | −0.374325 | + | 0.0795652i | −0.391233 | − | 0.920292i | \(-0.627951\pi\) |
0.0169077 | + | 0.999857i | \(0.494618\pi\) | |||||||
\(752\) | 3.24717 | + | 9.99376i | 0.118412 | + | 0.364435i | ||||
\(753\) | 10.3680 | + | 2.20378i | 0.377830 | + | 0.0803102i | ||||
\(754\) | 2.94645 | + | 28.0336i | 0.107304 | + | 1.02093i | ||||
\(755\) | −2.84037 | − | 3.15455i | −0.103372 | − | 0.114806i | ||||
\(756\) | −1.77083 | − | 0.788423i | −0.0644044 | − | 0.0286747i | ||||
\(757\) | −30.4949 | + | 13.5772i | −1.10836 | + | 0.493472i | −0.877530 | − | 0.479522i | \(-0.840810\pi\) |
−0.230827 | + | 0.972995i | \(0.574143\pi\) | |||||||
\(758\) | 16.1903 | − | 17.9812i | 0.588059 | − | 0.653106i | ||||
\(759\) | −0.665688 | − | 0.483651i | −0.0241630 | − | 0.0175554i | ||||
\(760\) | −3.26486 | − | 2.37206i | −0.118429 | − | 0.0860437i | ||||
\(761\) | −0.542444 | + | 0.602445i | −0.0196636 | + | 0.0218386i | −0.752896 | − | 0.658139i | \(-0.771344\pi\) |
0.733233 | + | 0.679978i | \(0.238011\pi\) | |||||||
\(762\) | −7.40944 | + | 3.29890i | −0.268416 | + | 0.119506i | ||||
\(763\) | −0.603523 | − | 0.268706i | −0.0218490 | − | 0.00972780i | ||||
\(764\) | 15.7940 | + | 17.5411i | 0.571409 | + | 0.634614i | ||||
\(765\) | 0.207312 | + | 1.97244i | 0.00749538 | + | 0.0713138i | ||||
\(766\) | −20.6901 | − | 4.39781i | −0.747562 | − | 0.158899i | ||||
\(767\) | 3.82350 | + | 11.7675i | 0.138059 | + | 0.424901i | ||||
\(768\) | 0.978148 | − | 0.207912i | 0.0352959 | − | 0.00750237i | ||||
\(769\) | −19.2147 | − | 33.2808i | −0.692899 | − | 1.20014i | −0.970884 | − | 0.239550i | \(-0.923000\pi\) |
0.277985 | − | 0.960585i | \(-0.410333\pi\) | |||||||
\(770\) | 0.959517 | − | 1.66193i | 0.0345786 | − | 0.0598919i | ||||
\(771\) | 0.376696 | − | 1.15935i | 0.0135664 | − | 0.0417530i | ||||
\(772\) | 1.97681 | − | 18.8081i | 0.0711469 | − | 0.676917i | ||||
\(773\) | −19.4860 | + | 14.1574i | −0.700863 | + | 0.509206i | −0.880213 | − | 0.474579i | \(-0.842600\pi\) |
0.179350 | + | 0.983785i | \(0.442600\pi\) | |||||||
\(774\) | −10.7853 | −0.387669 | ||||||||
\(775\) | −4.61674 | − | 3.11218i | −0.165838 | − | 0.111793i | ||||
\(776\) | 17.5552 | 0.630197 | ||||||||
\(777\) | 18.3411 | − | 13.3256i | 0.657983 | − | 0.478053i | ||||
\(778\) | 3.63961 | − | 34.6286i | 0.130486 | − | 1.24149i | ||||
\(779\) | 4.67871 | − | 14.3996i | 0.167632 | − | 0.515918i | ||||
\(780\) | −1.96543 | + | 3.40422i | −0.0703736 | + | 0.121891i | ||||
\(781\) | 4.49280 | + | 7.78176i | 0.160765 | + | 0.278453i | ||||
\(782\) | 1.61239 | − | 0.342724i | 0.0576590 | − | 0.0122558i | ||||
\(783\) | 2.21595 | + | 6.82000i | 0.0791917 | + | 0.243727i | ||||
\(784\) | 3.17170 | + | 0.674166i | 0.113275 | + | 0.0240774i | ||||
\(785\) | 2.56368 | + | 24.3918i | 0.0915018 | + | 0.870582i | ||||
\(786\) | 4.67784 | + | 5.19527i | 0.166853 | + | 0.185309i | ||||
\(787\) | −8.07595 | − | 3.59564i | −0.287876 | − | 0.128171i | 0.257718 | − | 0.966220i | \(-0.417029\pi\) |
−0.545594 | + | 0.838049i | \(0.683696\pi\) | |||||||
\(788\) | −4.24473 | + | 1.88987i | −0.151212 | + | 0.0673240i | ||||
\(789\) | 3.63563 | − | 4.03777i | 0.129432 | − | 0.143749i | ||||
\(790\) | 4.56468 | + | 3.31644i | 0.162404 | + | 0.117994i | ||||
\(791\) | −31.9999 | − | 23.2493i | −1.13778 | − | 0.826649i | ||||
\(792\) | 0.662442 | − | 0.735716i | 0.0235388 | − | 0.0261425i | ||||
\(793\) | −11.2972 | + | 5.02983i | −0.401175 | + | 0.178615i | ||||
\(794\) | 1.32332 | + | 0.589181i | 0.0469630 | + | 0.0209093i | ||||
\(795\) | −1.74820 | − | 1.94157i | −0.0620023 | − | 0.0688605i | ||||
\(796\) | 0.435242 | + | 4.14106i | 0.0154268 | + | 0.146776i | ||||
\(797\) | 51.8073 | + | 11.0120i | 1.83511 | + | 0.390064i | 0.989594 | − | 0.143889i | \(-0.0459607\pi\) |
0.845514 | + | 0.533953i | \(0.179294\pi\) | |||||||
\(798\) | 2.41733 | + | 7.43977i | 0.0855725 | + | 0.263365i | ||||
\(799\) | −20.3853 | + | 4.33303i | −0.721180 | + | 0.153291i | ||||
\(800\) | −0.500000 | − | 0.866025i | −0.0176777 | − | 0.0306186i | ||||
\(801\) | −6.56629 | + | 11.3732i | −0.232009 | + | 0.401851i | ||||
\(802\) | −6.64095 | + | 20.4387i | −0.234500 | + | 0.721717i | ||||
\(803\) | 1.21364 | − | 11.5470i | 0.0428285 | − | 0.407486i | ||||
\(804\) | 6.61550 | − | 4.80644i | 0.233311 | − | 0.169510i | ||||
\(805\) | 1.61110 | 0.0567838 | ||||||||
\(806\) | −1.52069 | + | 21.8332i | −0.0535640 | + | 0.769041i | ||||
\(807\) | 20.8986 | 0.735665 | ||||||||
\(808\) | −7.47694 | + | 5.43232i | −0.263038 | + | 0.191108i | ||||
\(809\) | 1.39268 | − | 13.2505i | 0.0489641 | − | 0.465862i | −0.942377 | − | 0.334552i | \(-0.891415\pi\) |
0.991341 | − | 0.131310i | \(-0.0419183\pi\) | |||||||
\(810\) | −0.309017 | + | 0.951057i | −0.0108578 | + | 0.0334167i | ||||
\(811\) | 2.09296 | − | 3.62511i | 0.0734937 | − | 0.127295i | −0.826937 | − | 0.562295i | \(-0.809918\pi\) |
0.900430 | + | 0.435000i | \(0.143252\pi\) | |||||||
\(812\) | 6.95015 | + | 12.0380i | 0.243902 | + | 0.422452i | ||||
\(813\) | 0.250438 | − | 0.0532322i | 0.00878324 | − | 0.00186694i | ||||
\(814\) | 3.57800 | + | 11.0120i | 0.125409 | + | 0.385969i | ||||
\(815\) | 15.1491 | + | 3.22004i | 0.530649 | + | 0.112793i | ||||
\(816\) | 0.207312 | + | 1.97244i | 0.00725737 | + | 0.0690493i | ||||
\(817\) | 29.1239 | + | 32.3454i | 1.01892 | + | 1.13162i | ||||
\(818\) | −3.41398 | − | 1.52000i | −0.119367 | − | 0.0531456i | ||||
\(819\) | 6.96086 | − | 3.09918i | 0.243232 | − | 0.108294i | ||||
\(820\) | 2.51042 | − | 2.78811i | 0.0876678 | − | 0.0973649i | ||||
\(821\) | 8.43717 | + | 6.12996i | 0.294459 | + | 0.213937i | 0.725200 | − | 0.688539i | \(-0.241748\pi\) |
−0.430740 | + | 0.902476i | \(0.641748\pi\) | |||||||
\(822\) | 6.64979 | + | 4.83136i | 0.231938 | + | 0.168513i | ||||
\(823\) | −14.9473 | + | 16.6006i | −0.521029 | + | 0.578662i | −0.945023 | − | 0.327004i | \(-0.893961\pi\) |
0.423994 | + | 0.905665i | \(0.360628\pi\) | |||||||
\(824\) | 0.984141 | − | 0.438168i | 0.0342842 | − | 0.0152643i | ||||
\(825\) | −0.904413 | − | 0.402671i | −0.0314876 | − | 0.0140192i | ||||
\(826\) | 4.08271 | + | 4.53431i | 0.142056 | + | 0.157769i | ||||
\(827\) | −3.89588 | − | 37.0668i | −0.135473 | − | 1.28894i | −0.825188 | − | 0.564859i | \(-0.808931\pi\) |
0.689714 | − | 0.724081i | \(-0.257736\pi\) | |||||||
\(828\) | 0.812982 | + | 0.172805i | 0.0282531 | + | 0.00600538i | ||||
\(829\) | 3.23236 | + | 9.94818i | 0.112264 | + | 0.345515i | 0.991367 | − | 0.131119i | \(-0.0418569\pi\) |
−0.879102 | + | 0.476633i | \(0.841857\pi\) | |||||||
\(830\) | 4.06670 | − | 0.864403i | 0.141157 | − | 0.0300039i | ||||
\(831\) | 2.14987 | + | 3.72369i | 0.0745782 | + | 0.129173i | ||||
\(832\) | −1.96543 | + | 3.40422i | −0.0681389 | + | 0.118020i | ||||
\(833\) | −1.98729 | + | 6.11624i | −0.0688554 | + | 0.211915i | ||||
\(834\) | −0.849748 | + | 8.08481i | −0.0294244 | + | 0.279954i | ||||
\(835\) | −7.07725 | + | 5.14192i | −0.244918 | + | 0.177943i | ||||
\(836\) | −3.99525 | −0.138179 | ||||||||
\(837\) | 0.776400 | + | 5.51337i | 0.0268363 | + | 0.190570i | ||||
\(838\) | 21.5765 | 0.745347 | ||||||||
\(839\) | −33.0547 | + | 24.0156i | −1.14117 | + | 0.829112i | −0.987283 | − | 0.158976i | \(-0.949181\pi\) |
−0.153892 | + | 0.988088i | \(0.549181\pi\) | |||||||
\(840\) | −0.202619 | + | 1.92779i | −0.00699103 | + | 0.0665152i | ||||
\(841\) | 6.92906 | − | 21.3254i | 0.238933 | − | 0.735360i | ||||
\(842\) | 1.17609 | − | 2.03705i | 0.0405307 | − | 0.0702013i | ||||
\(843\) | 1.06549 | + | 1.84549i | 0.0366976 | + | 0.0635620i | ||||
\(844\) | 4.14990 | − | 0.882088i | 0.142845 | − | 0.0303627i | ||||
\(845\) | −0.757592 | − | 2.33163i | −0.0260619 | − | 0.0802104i | ||||
\(846\) | −10.2784 | − | 2.18475i | −0.353380 | − | 0.0751132i | ||||
\(847\) | 2.03022 | + | 19.3163i | 0.0697593 | + | 0.663715i | ||||
\(848\) | −1.74820 | − | 1.94157i | −0.0600335 | − | 0.0666739i | ||||
\(849\) | 4.38959 | + | 1.95437i | 0.150650 | + | 0.0670738i | ||||
\(850\) | 1.81184 | − | 0.806683i | 0.0621456 | − | 0.0276690i | ||||
\(851\) | −6.50442 | + | 7.22389i | −0.222969 | + | 0.247632i | ||||
\(852\) | −7.34290 | − | 5.33493i | −0.251564 | − | 0.182772i | ||||
\(853\) | −39.7099 | − | 28.8509i | −1.35964 | − | 0.987836i | −0.998468 | − | 0.0553369i | \(-0.982377\pi\) |
−0.361172 | − | 0.932499i | \(-0.617623\pi\) | |||||||
\(854\) | −4.08047 | + | 4.53182i | −0.139631 | + | 0.155076i | ||||
\(855\) | 3.68670 | − | 1.64142i | 0.126082 | − | 0.0561355i | ||||
\(856\) | 11.6452 | + | 5.18480i | 0.398026 | + | 0.177213i | ||||
\(857\) | −7.60715 | − | 8.44859i | −0.259855 | − | 0.288598i | 0.599073 | − | 0.800694i | \(-0.295536\pi\) |
−0.858928 | + | 0.512096i | \(0.828869\pi\) | |||||||
\(858\) | 0.406779 | + | 3.87024i | 0.0138872 | + | 0.132128i | ||||
\(859\) | 22.0352 | + | 4.68372i | 0.751830 | + | 0.159806i | 0.567860 | − | 0.823125i | \(-0.307772\pi\) |
0.183971 | + | 0.982932i | \(0.441105\pi\) | |||||||
\(860\) | 3.33283 | + | 10.2574i | 0.113649 | + | 0.349775i | ||||
\(861\) | −7.11355 | + | 1.51203i | −0.242429 | + | 0.0515299i | ||||
\(862\) | 5.11755 | + | 8.86385i | 0.174304 | + | 0.301904i | ||||
\(863\) | −7.03694 | + | 12.1883i | −0.239540 | + | 0.414896i | −0.960582 | − | 0.277995i | \(-0.910330\pi\) |
0.721042 | + | 0.692891i | \(0.243663\pi\) | |||||||
\(864\) | −0.309017 | + | 0.951057i | −0.0105130 | + | 0.0323556i | ||||
\(865\) | 0.302911 | − | 2.88201i | 0.0102993 | − | 0.0979911i | ||||
\(866\) | −17.7290 | + | 12.8809i | −0.602457 | + | 0.437710i | ||||
\(867\) | 13.0665 | 0.443761 | ||||||||
\(868\) | 3.69408 | + | 10.1407i | 0.125385 | + | 0.344199i | ||||
\(869\) | 5.58586 | 0.189487 | ||||||||
\(870\) | 5.80144 | − | 4.21499i | 0.196687 | − | 0.142902i | ||||
\(871\) | −3.35990 | + | 31.9673i | −0.113846 | + | 1.08317i | ||||
\(872\) | −0.105317 | + | 0.324133i | −0.00356649 | + | 0.0109765i | ||||
\(873\) | −8.77762 | + | 15.2033i | −0.297078 | + | 0.514553i | ||||
\(874\) | −1.67708 | − | 2.90479i | −0.0567281 | − | 0.0982559i | ||||
\(875\) | 1.89605 | − | 0.403018i | 0.0640983 | − | 0.0136245i | ||||
\(876\) | 3.62411 | + | 11.1539i | 0.122447 | + | 0.376855i | ||||
\(877\) | 19.0966 | + | 4.05910i | 0.644846 | + | 0.137066i | 0.518715 | − | 0.854947i | \(-0.326411\pi\) |
0.126131 | + | 0.992014i | \(0.459744\pi\) | |||||||
\(878\) | −1.04231 | − | 9.91689i | −0.0351762 | − | 0.334679i | ||||
\(879\) | −8.38145 | − | 9.30855i | −0.282699 | − | 0.313970i | ||||
\(880\) | −0.904413 | − | 0.402671i | −0.0304878 | − | 0.0135740i | ||||
\(881\) | 24.6887 | − | 10.9921i | 0.831784 | − | 0.370334i | 0.0537488 | − | 0.998554i | \(-0.482883\pi\) |
0.778036 | + | 0.628220i | \(0.216216\pi\) | |||||||
\(882\) | −2.16970 | + | 2.40969i | −0.0730575 | + | 0.0811386i | ||||
\(883\) | −33.0911 | − | 24.0421i | −1.11360 | − | 0.809081i | −0.130377 | − | 0.991465i | \(-0.541619\pi\) |
−0.983227 | + | 0.182384i | \(0.941619\pi\) | |||||||
\(884\) | −6.30717 | − | 4.58243i | −0.212133 | − | 0.154124i | ||||
\(885\) | 2.10622 | − | 2.33919i | 0.0707997 | − | 0.0786310i | ||||
\(886\) | 28.7378 | − | 12.7949i | 0.965464 | − | 0.429852i | ||||
\(887\) | 21.6513 | + | 9.63978i | 0.726979 | + | 0.323672i | 0.736643 | − | 0.676281i | \(-0.236410\pi\) |
−0.00966424 | + | 0.999953i | \(0.503076\pi\) | |||||||
\(888\) | −7.82587 | − | 8.69150i | −0.262619 | − | 0.291668i | ||||
\(889\) | −1.64337 | − | 15.6356i | −0.0551169 | − | 0.524402i | ||||
\(890\) | 12.8456 | + | 2.73042i | 0.430586 | + | 0.0915238i | ||||
\(891\) | 0.305928 | + | 0.941549i | 0.0102490 | + | 0.0315431i | ||||
\(892\) | 19.5779 | − | 4.16141i | 0.655517 | − | 0.139334i | ||||
\(893\) | 21.2031 | + | 36.7249i | 0.709536 | + | 1.22895i | ||||
\(894\) | −7.38511 | + | 12.7914i | −0.246995 | + | 0.427808i | ||||
\(895\) | −2.59529 | + | 7.98749i | −0.0867511 | + | 0.266992i | ||||
\(896\) | −0.202619 | + | 1.92779i | −0.00676903 | + | 0.0644030i | ||||
\(897\) | −2.64315 | + | 1.92036i | −0.0882521 | + | 0.0641189i | ||||
\(898\) | −11.6361 | −0.388301 | ||||||||
\(899\) | 18.7346 | − | 35.2580i | 0.624833 | − | 1.17592i | ||||
\(900\) | 1.00000 | 0.0333333 | ||||||||
\(901\) | 4.19206 | − | 3.04571i | 0.139658 | − | 0.101467i | ||||
\(902\) | 0.388246 | − | 3.69392i | 0.0129272 | − | 0.122994i | ||||
\(903\) | 6.46040 | − | 19.8831i | 0.214989 | − | 0.661667i | ||||
\(904\) | −10.2027 | + | 17.6716i | −0.339336 | + | 0.587748i | ||||
\(905\) | −4.76038 | − | 8.24522i | −0.158240 | − | 0.274080i | ||||
\(906\) | 4.15211 | − | 0.882559i | 0.137945 | − | 0.0293210i | ||||
\(907\) | 5.40024 | + | 16.6202i | 0.179312 | + | 0.551866i | 0.999804 | − | 0.0197922i | \(-0.00630045\pi\) |
−0.820492 | + | 0.571658i | \(0.806300\pi\) | |||||||
\(908\) | −5.62036 | − | 1.19464i | −0.186518 | − | 0.0396457i | ||||
\(909\) | −0.966053 | − | 9.19138i | −0.0320420 | − | 0.304859i | ||||
\(910\) | −5.09852 | − | 5.66248i | −0.169014 | − | 0.187709i | ||||
\(911\) | 22.6781 | + | 10.0969i | 0.751358 | + | 0.334526i | 0.746432 | − | 0.665462i | \(-0.231765\pi\) |
0.00492599 | + | 0.999988i | \(0.498432\pi\) | |||||||
\(912\) | 3.68670 | − | 1.64142i | 0.122079 | − | 0.0543530i | ||||
\(913\) | 2.75414 | − | 3.05878i | 0.0911486 | − | 0.101231i | ||||
\(914\) | −18.2121 | − | 13.2319i | −0.602403 | − | 0.437672i | ||||
\(915\) | 2.54514 | + | 1.84915i | 0.0841396 | + | 0.0611310i | ||||
\(916\) | 4.63735 | − | 5.15030i | 0.153222 | − | 0.170171i | ||||
\(917\) | −12.3797 | + | 5.51180i | −0.408814 | + | 0.182016i | ||||
\(918\) | −1.81184 | − | 0.806683i | −0.0597996 | − | 0.0266245i | ||||
\(919\) | −30.9682 | − | 34.3937i | −1.02155 | − | 1.13454i | −0.990844 | − | 0.135014i | \(-0.956892\pi\) |
−0.0307033 | − | 0.999529i | \(-0.509775\pi\) | |||||||
\(920\) | −0.0868782 | − | 0.826591i | −0.00286429 | − | 0.0272519i | ||||
\(921\) | −8.99484 | − | 1.91191i | −0.296390 | − | 0.0629996i | ||||
\(922\) | 12.9799 | + | 39.9481i | 0.427471 | + | 1.31562i | ||||
\(923\) | 34.8981 | − | 7.41782i | 1.14868 | − | 0.244160i | ||||
\(924\) | 0.959517 | + | 1.66193i | 0.0315658 | + | 0.0546736i | ||||
\(925\) | −5.84779 | + | 10.1287i | −0.192274 | + | 0.333028i | ||||
\(926\) | 5.59659 | − | 17.2245i | 0.183915 | − | 0.566033i | ||||
\(927\) | −0.112606 | + | 1.07138i | −0.00369847 | + | 0.0351886i | ||||
\(928\) | 5.80144 | − | 4.21499i | 0.190442 | − | 0.138364i | ||||
\(929\) | −26.5813 | −0.872105 | −0.436053 | − | 0.899921i | \(-0.643624\pi\) | ||||
−0.436053 | + | 0.899921i | \(0.643624\pi\) | |||||||
\(930\) | 5.00360 | − | 2.44212i | 0.164075 | − | 0.0800804i | ||||
\(931\) | 13.0857 | 0.428865 | ||||||||
\(932\) | −17.6636 | + | 12.8333i | −0.578590 | + | 0.420370i | ||||
\(933\) | 2.09031 | − | 19.8880i | 0.0684338 | − | 0.651104i | ||||
\(934\) | −0.437589 | + | 1.34676i | −0.0143184 | + | 0.0440674i | ||||
\(935\) | 0.981740 | − | 1.70042i | 0.0321063 | − | 0.0556098i | ||||
\(936\) | −1.96543 | − | 3.40422i | −0.0642420 | − | 0.111270i | ||||
\(937\) | −15.1681 | + | 3.22407i | −0.495519 | + | 0.105326i | −0.448891 | − | 0.893586i | \(-0.648181\pi\) |
−0.0466281 | + | 0.998912i | \(0.514848\pi\) | |||||||
\(938\) | 4.89817 | + | 15.0750i | 0.159931 | + | 0.492216i | ||||
\(939\) | −16.3408 | − | 3.47334i | −0.533262 | − | 0.113348i | ||||
\(940\) | 1.09839 | + | 10.4505i | 0.0358256 | + | 0.340858i | ||||
\(941\) | 13.7847 | + | 15.3094i | 0.449368 | + | 0.499073i | 0.924681 | − | 0.380743i | \(-0.124332\pi\) |
−0.475313 | + | 0.879817i | \(0.657665\pi\) | |||||||
\(942\) | −22.4058 | − | 9.97570i | −0.730020 | − | 0.325026i | ||||
\(943\) | 2.84867 | − | 1.26831i | 0.0927655 | − | 0.0413019i | ||||
\(944\) | 2.10622 | − | 2.33919i | 0.0685515 | − | 0.0761341i | ||||
\(945\) | −1.56821 | − | 1.13937i | −0.0510138 | − | 0.0370637i | ||||
\(946\) | 8.63825 | + | 6.27605i | 0.280854 | + | 0.204052i | ||||
\(947\) | 30.6055 | − | 33.9908i | 0.994545 | − | 1.10455i | 2.54375e−5 | − | 1.00000i | \(-0.499992\pi\) |
0.994519 | − | 0.104554i | \(-0.0333414\pi\) | |||||||
\(948\) | −5.15446 | + | 2.29491i | −0.167409 | + | 0.0745353i | ||||
\(949\) | −42.1150 | − | 18.7508i | −1.36711 | − | 0.608677i | ||||
\(950\) | −2.70034 | − | 2.99903i | −0.0876106 | − | 0.0973014i | ||||
\(951\) | 1.19971 | + | 11.4144i | 0.0389032 | + | 0.370139i | ||||
\(952\) | −3.76045 | − | 0.799309i | −0.121877 | − | 0.0259058i | ||||
\(953\) | 8.40103 | + | 25.8557i | 0.272136 | + | 0.837548i | 0.989963 | + | 0.141327i | \(0.0451369\pi\) |
−0.717827 | + | 0.696221i | \(0.754863\pi\) | |||||||
\(954\) | 2.55555 | − | 0.543200i | 0.0827391 | − | 0.0175867i | ||||
\(955\) | 11.8019 | + | 20.4415i | 0.381901 | + | 0.661472i | ||||
\(956\) | 0.346202 | − | 0.599639i | 0.0111970 | − | 0.0193937i | ||||
\(957\) | 2.19380 | − | 6.75183i | 0.0709155 | − | 0.218256i | ||||
\(958\) | 0.282223 | − | 2.68517i | 0.00911821 | − | 0.0867540i | ||||
\(959\) | −12.8900 | + | 9.36516i | −0.416241 | + | 0.302417i | ||||
\(960\) | 1.00000 | 0.0322749 | ||||||||
\(961\) | 19.0721 | − | 24.4388i | 0.615228 | − | 0.788349i | ||||
\(962\) | 45.9736 | 1.48225 | ||||||||
\(963\) | −10.3128 | + | 7.49268i | −0.332325 | + | 0.241448i | ||||
\(964\) | 3.06050 | − | 29.1187i | 0.0985722 | − | 0.937852i | ||||
\(965\) | 5.84403 | − | 17.9861i | 0.188126 | − | 0.578992i | ||||
\(966\) | −0.805550 | + | 1.39525i | −0.0259181 | + | 0.0448915i | ||||
\(967\) | 12.9606 | + | 22.4484i | 0.416784 | + | 0.721891i | 0.995614 | − | 0.0935576i | \(-0.0298239\pi\) |
−0.578830 | + | 0.815448i | \(0.696491\pi\) | |||||||
\(968\) | 9.80093 | − | 2.08325i | 0.315014 | − | 0.0669583i | ||||
\(969\) | 2.47332 | + | 7.61208i | 0.0794544 | + | 0.244535i | ||||
\(970\) | 17.1716 | + | 3.64994i | 0.551348 | + | 0.117193i | ||||
\(971\) | 2.24291 | + | 21.3398i | 0.0719783 | + | 0.684828i | 0.969706 | + | 0.244276i | \(0.0785504\pi\) |
−0.897727 | + | 0.440552i | \(0.854783\pi\) | |||||||
\(972\) | −0.669131 | − | 0.743145i | −0.0214624 | − | 0.0238364i | ||||
\(973\) | −14.3957 | − | 6.40936i | −0.461504 | − | 0.205475i | ||||
\(974\) | −26.9482 | + | 11.9981i | −0.863476 | + | 0.384444i | ||||
\(975\) | −2.63026 | + | 2.92119i | −0.0842356 | + | 0.0935531i | ||||
\(976\) | 2.54514 | + | 1.84915i | 0.0814678 | + | 0.0591898i | ||||
\(977\) | −13.2033 | − | 9.59277i | −0.422411 | − | 0.306900i | 0.356196 | − | 0.934411i | \(-0.384074\pi\) |
−0.778607 | + | 0.627511i | \(0.784074\pi\) | |||||||
\(978\) | −10.3632 | + | 11.5095i | −0.331378 | + | 0.368032i | ||||
\(979\) | 11.8773 | − | 5.28811i | 0.379600 | − | 0.169009i | ||||
\(980\) | 2.96223 | + | 1.31887i | 0.0946249 | + | 0.0421297i | ||||
\(981\) | −0.228049 | − | 0.253274i | −0.00728105 | − | 0.00808642i | ||||
\(982\) | −1.94343 | − | 18.4905i | −0.0620172 | − | 0.590054i | ||||
\(983\) | 57.1676 | + | 12.1513i | 1.82336 | + | 0.387568i | 0.987014 | − | 0.160632i | \(-0.0513533\pi\) |
0.836347 | + | 0.548200i | \(0.184687\pi\) | |||||||
\(984\) | 1.15936 | + | 3.56814i | 0.0369590 | + | 0.113748i | ||||
\(985\) | −4.54490 | + | 0.966048i | −0.144812 | + | 0.0307808i | ||||
\(986\) | 7.11112 | + | 12.3168i | 0.226464 | + | 0.392248i | ||||
\(987\) | 10.1845 | − | 17.6400i | 0.324175 | − | 0.561488i | ||||
\(988\) | −4.90204 | + | 15.0869i | −0.155955 | + | 0.479979i | ||||
\(989\) | −0.937005 | + | 8.91501i | −0.0297950 | + | 0.283481i | ||||
\(990\) | 0.800930 | − | 0.581910i | 0.0254552 | − | 0.0184943i | ||||
\(991\) | 4.58211 | 0.145555 | 0.0727777 | − | 0.997348i | \(-0.476814\pi\) | ||||
0.0727777 | + | 0.997348i | \(0.476814\pi\) | |||||||
\(992\) | 5.00360 | − | 2.44212i | 0.158865 | − | 0.0775375i | ||||
\(993\) | −24.4312 | −0.775300 | ||||||||
\(994\) | 14.2336 | − | 10.3413i | 0.451461 | − | 0.328006i | ||||
\(995\) | −0.435242 | + | 4.14106i | −0.0137981 | + | 0.131280i | ||||
\(996\) | −1.28475 | + | 3.95407i | −0.0407090 | + | 0.125289i | ||||
\(997\) | −10.8854 | + | 18.8541i | −0.344744 | + | 0.597114i | −0.985307 | − | 0.170791i | \(-0.945368\pi\) |
0.640563 | + | 0.767906i | \(0.278701\pi\) | |||||||
\(998\) | 14.3126 | + | 24.7902i | 0.453058 | + | 0.784720i | ||||
\(999\) | 11.4400 | − | 2.43165i | 0.361945 | − | 0.0769339i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 930.2.bg.c.121.1 | ✓ | 16 | |
31.10 | even | 15 | inner | 930.2.bg.c.661.1 | yes | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bg.c.121.1 | ✓ | 16 | 1.1 | even | 1 | trivial | |
930.2.bg.c.661.1 | yes | 16 | 31.10 | even | 15 | inner |