Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [192,2,Mod(11,192)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(192, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([8, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("192.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 192 = 2^{6} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 192.s (of order \(16\), 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: | \(1.53312771881\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 11.29 | ||
Character | \(\chi\) | \(=\) | 192.11 |
Dual form | 192.2.s.a.35.29 |
$q$-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 \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(133\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.38916 | − | 0.265037i | 0.982282 | − | 0.187409i | ||||
\(3\) | −0.971467 | + | 1.43396i | −0.560877 | + | 0.827899i | ||||
\(4\) | 1.85951 | − | 0.736355i | 0.929755 | − | 0.368178i | ||||
\(5\) | 1.95251 | − | 1.30462i | 0.873187 | − | 0.583445i | −0.0362238 | − | 0.999344i | \(-0.511533\pi\) |
0.909411 | + | 0.415899i | \(0.136533\pi\) | |||||||
\(6\) | −0.969467 | + | 2.24947i | −0.395783 | + | 0.918344i | ||||
\(7\) | −0.960548 | + | 2.31897i | −0.363053 | + | 0.876487i | 0.631797 | + | 0.775134i | \(0.282317\pi\) |
−0.994850 | + | 0.101354i | \(0.967683\pi\) | |||||||
\(8\) | 2.38799 | − | 1.51575i | 0.844282 | − | 0.535899i | ||||
\(9\) | −1.11250 | − | 2.78610i | −0.370834 | − | 0.928699i | ||||
\(10\) | 2.36656 | − | 2.32981i | 0.748373 | − | 0.736751i | ||||
\(11\) | −0.234499 | + | 1.17891i | −0.0707041 | + | 0.355454i | −0.999900 | − | 0.0141338i | \(-0.995501\pi\) |
0.929196 | + | 0.369587i | \(0.120501\pi\) | |||||||
\(12\) | −0.750547 | + | 3.38182i | −0.216664 | + | 0.976246i | ||||
\(13\) | −0.872483 | + | 1.30576i | −0.241983 | + | 0.362154i | −0.932504 | − | 0.361159i | \(-0.882381\pi\) |
0.690521 | + | 0.723312i | \(0.257381\pi\) | |||||||
\(14\) | −0.719739 | + | 3.47599i | −0.192358 | + | 0.928997i | ||||
\(15\) | −0.0260138 | + | 4.06722i | −0.00671672 | + | 1.05015i | ||||
\(16\) | 2.91556 | − | 2.73852i | 0.728891 | − | 0.684630i | ||||
\(17\) | −1.03326 | − | 1.03326i | −0.250603 | − | 0.250603i | 0.570615 | − | 0.821218i | \(-0.306705\pi\) |
−0.821218 | + | 0.570615i | \(0.806705\pi\) | |||||||
\(18\) | −2.28386 | − | 3.57547i | −0.538311 | − | 0.842746i | ||||
\(19\) | 0.954373 | − | 1.42832i | 0.218948 | − | 0.327679i | −0.705694 | − | 0.708517i | \(-0.749364\pi\) |
0.924642 | + | 0.380838i | \(0.124364\pi\) | |||||||
\(20\) | 2.67004 | − | 3.86370i | 0.597039 | − | 0.863949i | ||||
\(21\) | −2.39217 | − | 3.63019i | −0.522015 | − | 0.792173i | ||||
\(22\) | −0.0133023 | + | 1.69984i | −0.00283605 | + | 0.362406i | ||||
\(23\) | −1.82752 | − | 4.41202i | −0.381064 | − | 0.919969i | −0.991761 | − | 0.128105i | \(-0.959111\pi\) |
0.610697 | − | 0.791864i | \(-0.290889\pi\) | |||||||
\(24\) | −0.146322 | + | 4.89679i | −0.0298678 | + | 0.999554i | ||||
\(25\) | 0.196821 | − | 0.475169i | 0.0393642 | − | 0.0950337i | ||||
\(26\) | −0.865940 | + | 2.04515i | −0.169825 | + | 0.401087i | ||||
\(27\) | 5.07592 | + | 1.11131i | 0.976862 | + | 0.213872i | ||||
\(28\) | −0.0785655 | + | 5.01945i | −0.0148475 | + | 0.948587i | ||||
\(29\) | −7.87379 | + | 1.56619i | −1.46213 | + | 0.290835i | −0.861117 | − | 0.508408i | \(-0.830234\pi\) |
−0.601009 | + | 0.799242i | \(0.705234\pi\) | |||||||
\(30\) | 1.04183 | + | 5.65690i | 0.190211 | + | 1.03280i | ||||
\(31\) | −10.6406 | −1.91111 | −0.955555 | − | 0.294812i | \(-0.904743\pi\) | ||||
−0.955555 | + | 0.294812i | \(0.904743\pi\) | |||||||
\(32\) | 3.32436 | − | 4.57697i | 0.587670 | − | 0.809101i | ||||
\(33\) | −1.46270 | − | 1.48153i | −0.254623 | − | 0.257902i | ||||
\(34\) | −1.70922 | − | 1.16151i | −0.293128 | − | 0.199198i | ||||
\(35\) | 1.14990 | + | 5.78095i | 0.194369 | + | 0.977159i | ||||
\(36\) | −4.12027 | − | 4.36158i | −0.686711 | − | 0.726930i | ||||
\(37\) | 7.61095 | − | 5.08547i | 1.25123 | − | 0.836047i | 0.259672 | − | 0.965697i | \(-0.416385\pi\) |
0.991560 | + | 0.129650i | \(0.0413854\pi\) | |||||||
\(38\) | 0.947216 | − | 2.23710i | 0.153659 | − | 0.362906i | ||||
\(39\) | −1.02483 | − | 2.51961i | −0.164104 | − | 0.403461i | ||||
\(40\) | 2.68508 | − | 6.07494i | 0.424549 | − | 0.960532i | ||||
\(41\) | −8.43513 | + | 3.49395i | −1.31735 | + | 0.545663i | −0.927019 | − | 0.375014i | \(-0.877638\pi\) |
−0.390327 | + | 0.920676i | \(0.627638\pi\) | |||||||
\(42\) | −4.28524 | − | 4.40889i | −0.661227 | − | 0.680306i | ||||
\(43\) | 1.84822 | − | 9.29165i | 0.281852 | − | 1.41696i | −0.537302 | − | 0.843390i | \(-0.680557\pi\) |
0.819154 | − | 0.573574i | \(-0.194443\pi\) | |||||||
\(44\) | 0.432040 | + | 2.36486i | 0.0651325 | + | 0.356517i | ||||
\(45\) | −5.80697 | − | 3.98847i | −0.865653 | − | 0.594567i | ||||
\(46\) | −3.70805 | − | 5.64462i | −0.546723 | − | 0.832254i | ||||
\(47\) | −1.72051 | + | 1.72051i | −0.250962 | + | 0.250962i | −0.821365 | − | 0.570403i | \(-0.806787\pi\) |
0.570403 | + | 0.821365i | \(0.306787\pi\) | |||||||
\(48\) | 1.09457 | + | 6.84119i | 0.157987 | + | 0.987441i | ||||
\(49\) | 0.494788 | + | 0.494788i | 0.0706839 | + | 0.0706839i | ||||
\(50\) | 0.147478 | − | 0.712248i | 0.0208566 | − | 0.100727i | ||||
\(51\) | 2.48544 | − | 0.477881i | 0.348032 | − | 0.0669167i | ||||
\(52\) | −0.660886 | + | 3.07054i | −0.0916484 | + | 0.425807i | ||||
\(53\) | 5.92434 | + | 1.17842i | 0.813770 | + | 0.161869i | 0.584395 | − | 0.811469i | \(-0.301332\pi\) |
0.229375 | + | 0.973338i | \(0.426332\pi\) | |||||||
\(54\) | 7.34579 | + | 0.198481i | 0.999635 | + | 0.0270098i | ||||
\(55\) | 1.08017 | + | 2.60775i | 0.145650 | + | 0.351629i | ||||
\(56\) | 1.22120 | + | 6.99362i | 0.163190 | + | 0.934562i | ||||
\(57\) | 1.12102 | + | 2.75610i | 0.148482 | + | 0.365055i | ||||
\(58\) | −10.5228 | + | 4.26253i | −1.38171 | + | 0.559698i | ||||
\(59\) | 5.62191 | + | 8.41378i | 0.731910 | + | 1.09538i | 0.991556 | + | 0.129677i | \(0.0413940\pi\) |
−0.259646 | + | 0.965704i | \(0.583606\pi\) | |||||||
\(60\) | 2.94655 | + | 7.58220i | 0.380397 | + | 0.978857i | ||||
\(61\) | 8.69676 | − | 1.72989i | 1.11351 | − | 0.221490i | 0.396143 | − | 0.918189i | \(-0.370349\pi\) |
0.717364 | + | 0.696699i | \(0.245349\pi\) | |||||||
\(62\) | −14.7815 | + | 2.82015i | −1.87725 | + | 0.358160i | ||||
\(63\) | 7.52948 | + | 0.0963204i | 0.948626 | + | 0.0121352i | ||||
\(64\) | 3.40500 | − | 7.23920i | 0.425624 | − | 0.904900i | ||||
\(65\) | 3.68777i | 0.457412i | ||||||||
\(66\) | −2.42458 | − | 1.67041i | −0.298445 | − | 0.205613i | ||||
\(67\) | 2.64020 | + | 13.2732i | 0.322552 | + | 1.62158i | 0.713145 | + | 0.701016i | \(0.247270\pi\) |
−0.390593 | + | 0.920563i | \(0.627730\pi\) | |||||||
\(68\) | −2.68221 | − | 1.16052i | −0.325266 | − | 0.140733i | ||||
\(69\) | 8.10204 | + | 1.66554i | 0.975371 | + | 0.200507i | ||||
\(70\) | 3.12956 | + | 7.72588i | 0.374054 | + | 0.923419i | ||||
\(71\) | −4.65155 | − | 1.92674i | −0.552038 | − | 0.228662i | 0.0891865 | − | 0.996015i | \(-0.471573\pi\) |
−0.641225 | + | 0.767353i | \(0.721573\pi\) | |||||||
\(72\) | −6.87968 | − | 4.96689i | −0.810778 | − | 0.585354i | ||||
\(73\) | 6.20286 | − | 2.56931i | 0.725989 | − | 0.300715i | 0.0110866 | − | 0.999939i | \(-0.496471\pi\) |
0.714903 | + | 0.699224i | \(0.246471\pi\) | |||||||
\(74\) | 9.22496 | − | 9.08170i | 1.07238 | − | 1.05573i | ||||
\(75\) | 0.490169 | + | 0.743845i | 0.0565998 | + | 0.0858918i | ||||
\(76\) | 0.722916 | − | 3.35873i | 0.0829241 | − | 0.385273i | ||||
\(77\) | −2.50860 | − | 1.67619i | −0.285881 | − | 0.191020i | ||||
\(78\) | −2.09144 | − | 3.22852i | −0.236809 | − | 0.365558i | ||||
\(79\) | 1.07890 | − | 1.07890i | 0.121385 | − | 0.121385i | −0.643805 | − | 0.765190i | \(-0.722645\pi\) |
0.765190 | + | 0.643805i | \(0.222645\pi\) | |||||||
\(80\) | 2.11992 | − | 9.15069i | 0.237014 | − | 1.02308i | ||||
\(81\) | −6.52467 | + | 6.19908i | −0.724964 | + | 0.688787i | ||||
\(82\) | −10.7917 | + | 7.08926i | −1.19174 | + | 0.782878i | ||||
\(83\) | 9.95671 | + | 6.65286i | 1.09289 | + | 0.730246i | 0.965186 | − | 0.261566i | \(-0.0842389\pi\) |
0.127705 | + | 0.991812i | \(0.459239\pi\) | |||||||
\(84\) | −7.12139 | − | 4.98889i | −0.777007 | − | 0.544333i | ||||
\(85\) | −3.36547 | − | 0.669434i | −0.365037 | − | 0.0726103i | ||||
\(86\) | 0.104843 | − | 13.3974i | 0.0113055 | − | 1.44468i | ||||
\(87\) | 5.40326 | − | 12.8122i | 0.579290 | − | 1.37362i | ||||
\(88\) | 1.22695 | + | 3.17066i | 0.130793 | + | 0.337993i | ||||
\(89\) | 0.972027 | + | 0.402627i | 0.103035 | + | 0.0426784i | 0.433605 | − | 0.901103i | \(-0.357241\pi\) |
−0.330571 | + | 0.943781i | \(0.607241\pi\) | |||||||
\(90\) | −9.12389 | − | 4.00155i | −0.961742 | − | 0.421801i | ||||
\(91\) | −2.18996 | − | 3.27751i | −0.229570 | − | 0.343576i | ||||
\(92\) | −6.64710 | − | 6.85849i | −0.693008 | − | 0.715047i | ||||
\(93\) | 10.3370 | − | 15.2583i | 1.07190 | − | 1.58221i | ||||
\(94\) | −1.93406 | + | 2.84605i | −0.199483 | + | 0.293548i | ||||
\(95\) | − | 4.03390i | − | 0.413869i | ||||||
\(96\) | 3.33369 | + | 9.21339i | 0.340244 | + | 0.940337i | ||||
\(97\) | 14.7123i | 1.49381i | 0.664933 | + | 0.746903i | \(0.268460\pi\) | ||||
−0.664933 | + | 0.746903i | \(0.731540\pi\) | |||||||
\(98\) | 0.818474 | + | 0.556200i | 0.0826784 | + | 0.0561847i | ||||
\(99\) | 3.54543 | − | 0.658200i | 0.356329 | − | 0.0661516i | ||||
\(100\) | 0.0160985 | − | 1.02851i | 0.00160985 | − | 0.102851i | ||||
\(101\) | 1.37128 | + | 2.05227i | 0.136447 | + | 0.204208i | 0.893400 | − | 0.449261i | \(-0.148313\pi\) |
−0.756953 | + | 0.653469i | \(0.773313\pi\) | |||||||
\(102\) | 3.32601 | − | 1.32258i | 0.329324 | − | 0.130955i | ||||
\(103\) | −1.22208 | − | 0.506204i | −0.120415 | − | 0.0498777i | 0.321662 | − | 0.946854i | \(-0.395758\pi\) |
−0.442078 | + | 0.896977i | \(0.645758\pi\) | |||||||
\(104\) | −0.104269 | + | 4.44062i | −0.0102244 | + | 0.435438i | ||||
\(105\) | −9.40677 | − | 3.96709i | −0.918006 | − | 0.387148i | ||||
\(106\) | 8.54216 | + | 0.0668477i | 0.829688 | + | 0.00649282i | ||||
\(107\) | −10.9826 | − | 2.18457i | −1.06173 | − | 0.211190i | −0.366820 | − | 0.930292i | \(-0.619554\pi\) |
−0.694905 | + | 0.719101i | \(0.744554\pi\) | |||||||
\(108\) | 10.2571 | − | 1.67118i | 0.986985 | − | 0.160810i | ||||
\(109\) | −12.9769 | − | 8.67086i | −1.24296 | − | 0.830517i | −0.252401 | − | 0.967623i | \(-0.581220\pi\) |
−0.990556 | + | 0.137106i | \(0.956220\pi\) | |||||||
\(110\) | 2.19167 | + | 3.33629i | 0.208968 | + | 0.318103i | ||||
\(111\) | −0.101403 | + | 15.8542i | −0.00962472 | + | 1.50481i | ||||
\(112\) | 3.55001 | + | 9.39158i | 0.335444 | + | 0.887421i | ||||
\(113\) | 9.34958 | − | 9.34958i | 0.879534 | − | 0.879534i | −0.113952 | − | 0.993486i | \(-0.536351\pi\) |
0.993486 | + | 0.113952i | \(0.0363511\pi\) | |||||||
\(114\) | 2.28774 | + | 3.53155i | 0.214266 | + | 0.330760i | ||||
\(115\) | −9.32425 | − | 6.23027i | −0.869491 | − | 0.580975i | ||||
\(116\) | −13.4881 | + | 8.71026i | −1.25234 | + | 0.808727i | ||||
\(117\) | 4.60862 | + | 0.978157i | 0.426067 | + | 0.0904306i | ||||
\(118\) | 10.0397 | + | 10.1980i | 0.924226 | + | 0.938806i | ||||
\(119\) | 3.38860 | − | 1.40361i | 0.310633 | − | 0.128668i | ||||
\(120\) | 6.10277 | + | 9.75191i | 0.557104 | + | 0.890224i | ||||
\(121\) | 8.82785 | + | 3.65661i | 0.802531 | + | 0.332419i | ||||
\(122\) | 11.6227 | − | 4.70805i | 1.05227 | − | 0.426247i | ||||
\(123\) | 3.18426 | − | 15.4899i | 0.287115 | − | 1.39668i | ||||
\(124\) | −19.7863 | + | 7.83527i | −1.77687 | + | 0.703628i | ||||
\(125\) | 2.05499 | + | 10.3311i | 0.183804 | + | 0.924045i | ||||
\(126\) | 10.4852 | − | 1.86179i | 0.934092 | − | 0.165861i | ||||
\(127\) | − | 9.05646i | − | 0.803631i | −0.915721 | − | 0.401815i | \(-0.868379\pi\) | ||
0.915721 | − | 0.401815i | \(-0.131621\pi\) | |||||||
\(128\) | 2.81142 | − | 10.9588i | 0.248497 | − | 0.968633i | ||||
\(129\) | 11.5284 | + | 11.6768i | 1.01502 | + | 1.02809i | ||||
\(130\) | 0.977395 | + | 5.12289i | 0.0857232 | + | 0.449307i | ||||
\(131\) | 4.61852 | − | 0.918682i | 0.403522 | − | 0.0802656i | 0.0108434 | − | 0.999941i | \(-0.496548\pi\) |
0.392679 | + | 0.919676i | \(0.371548\pi\) | |||||||
\(132\) | −3.81084 | − | 1.67786i | −0.331691 | − | 0.146039i | ||||
\(133\) | 2.39551 | + | 3.58513i | 0.207717 | + | 0.310870i | ||||
\(134\) | 7.18554 | + | 17.7388i | 0.620736 | + | 1.53240i | ||||
\(135\) | 11.3606 | − | 4.45232i | 0.977766 | − | 0.383195i | ||||
\(136\) | −4.03359 | − | 0.901252i | −0.345878 | − | 0.0772818i | ||||
\(137\) | 0.240712 | + | 0.581131i | 0.0205654 | + | 0.0496493i | 0.933829 | − | 0.357721i | \(-0.116446\pi\) |
−0.913263 | + | 0.407370i | \(0.866446\pi\) | |||||||
\(138\) | 11.6964 | + | 0.166350i | 0.995667 | + | 0.0141607i | ||||
\(139\) | −13.7000 | − | 2.72509i | −1.16202 | − | 0.231139i | −0.423834 | − | 0.905740i | \(-0.639316\pi\) |
−0.738183 | + | 0.674601i | \(0.764316\pi\) | |||||||
\(140\) | 6.39509 | + | 9.90300i | 0.540484 | + | 0.836957i | ||||
\(141\) | −0.795729 | − | 4.13856i | −0.0670124 | − | 0.348530i | ||||
\(142\) | −6.97239 | − | 1.44371i | −0.585110 | − | 0.121153i | ||||
\(143\) | −1.33478 | − | 1.33478i | −0.111620 | − | 0.111620i | ||||
\(144\) | −10.8734 | − | 5.07643i | −0.906113 | − | 0.423035i | ||||
\(145\) | −13.3303 | + | 13.3303i | −1.10702 | + | 1.10702i | ||||
\(146\) | 7.93578 | − | 5.21315i | 0.656769 | − | 0.431444i | ||||
\(147\) | −1.19018 | + | 0.228838i | −0.0981642 | + | 0.0188742i | ||||
\(148\) | 10.4079 | − | 15.0609i | 0.855526 | − | 1.23799i | ||||
\(149\) | 2.51438 | − | 12.6406i | 0.205986 | − | 1.03556i | −0.729980 | − | 0.683469i | \(-0.760471\pi\) |
0.935965 | − | 0.352092i | \(-0.114529\pi\) | |||||||
\(150\) | 0.878068 | + | 0.903404i | 0.0716939 | + | 0.0737627i | ||||
\(151\) | −6.15845 | + | 2.55091i | −0.501168 | + | 0.207590i | −0.618922 | − | 0.785452i | \(-0.712430\pi\) |
0.117755 | + | 0.993043i | \(0.462430\pi\) | |||||||
\(152\) | 0.114055 | − | 4.85741i | 0.00925111 | − | 0.393988i | ||||
\(153\) | −1.72926 | + | 4.02828i | −0.139803 | + | 0.325667i | ||||
\(154\) | −3.92909 | − | 1.66362i | −0.316615 | − | 0.134058i | ||||
\(155\) | −20.7759 | + | 13.8820i | −1.66876 | + | 1.11503i | ||||
\(156\) | −3.76101 | − | 3.93061i | −0.301122 | − | 0.314701i | ||||
\(157\) | 1.37123 | + | 6.89364i | 0.109436 | + | 0.550172i | 0.996136 | + | 0.0878263i | \(0.0279921\pi\) |
−0.886700 | + | 0.462346i | \(0.847008\pi\) | |||||||
\(158\) | 1.21281 | − | 1.78470i | 0.0964858 | − | 0.141983i | ||||
\(159\) | −7.44512 | + | 7.35048i | −0.590436 | + | 0.582931i | ||||
\(160\) | 0.519625 | − | 13.2736i | 0.0410800 | − | 1.04937i | ||||
\(161\) | 11.9867 | 0.944688 | ||||||||
\(162\) | −7.42081 | + | 10.3408i | −0.583034 | + | 0.812448i | ||||
\(163\) | 15.1040 | − | 3.00438i | 1.18304 | − | 0.235321i | 0.435904 | − | 0.899993i | \(-0.356429\pi\) |
0.747135 | + | 0.664672i | \(0.231429\pi\) | |||||||
\(164\) | −13.1124 | + | 12.7083i | −1.02391 | + | 0.992350i | ||||
\(165\) | −4.78877 | − | 0.984427i | −0.372805 | − | 0.0766375i | ||||
\(166\) | 15.5947 | + | 6.60297i | 1.21038 | + | 0.512490i | ||||
\(167\) | 3.25443 | − | 7.85690i | 0.251836 | − | 0.607985i | −0.746517 | − | 0.665367i | \(-0.768275\pi\) |
0.998352 | + | 0.0573818i | \(0.0182752\pi\) | |||||||
\(168\) | −11.2150 | − | 5.04292i | −0.865253 | − | 0.389070i | ||||
\(169\) | 4.03109 | + | 9.73192i | 0.310084 | + | 0.748609i | ||||
\(170\) | −4.85259 | − | 0.0379745i | −0.372177 | − | 0.00291251i | ||||
\(171\) | −5.04118 | − | 1.06996i | −0.385509 | − | 0.0818222i | ||||
\(172\) | −3.40516 | − | 18.6389i | −0.259641 | − | 1.42120i | ||||
\(173\) | −4.59634 | + | 6.87890i | −0.349453 | + | 0.522993i | −0.964005 | − | 0.265883i | \(-0.914337\pi\) |
0.614552 | + | 0.788876i | \(0.289337\pi\) | |||||||
\(174\) | 4.11026 | − | 19.2303i | 0.311598 | − | 1.45784i | ||||
\(175\) | 0.912844 | + | 0.912844i | 0.0690045 | + | 0.0690045i | ||||
\(176\) | 2.54476 | + | 4.07935i | 0.191819 | + | 0.307493i | ||||
\(177\) | −17.5265 | − | 0.112099i | −1.31738 | − | 0.00842588i | ||||
\(178\) | 1.45701 | + | 0.301689i | 0.109207 | + | 0.0226125i | ||||
\(179\) | 8.30602 | − | 12.4308i | 0.620821 | − | 0.929125i | −0.379171 | − | 0.925326i | \(-0.623791\pi\) |
0.999993 | − | 0.00379846i | \(-0.00120909\pi\) | |||||||
\(180\) | −13.7351 | − | 3.14061i | −1.02375 | − | 0.234088i | ||||
\(181\) | −0.659443 | + | 3.31525i | −0.0490160 | + | 0.246420i | −0.997523 | − | 0.0703347i | \(-0.977593\pi\) |
0.948507 | + | 0.316755i | \(0.102593\pi\) | |||||||
\(182\) | −3.91086 | − | 3.97255i | −0.289892 | − | 0.294465i | ||||
\(183\) | −5.96801 | + | 14.1514i | −0.441168 | + | 1.04610i | ||||
\(184\) | −11.0516 | − | 7.76579i | −0.814736 | − | 0.572502i | ||||
\(185\) | 8.22580 | − | 19.8588i | 0.604773 | − | 1.46005i | ||||
\(186\) | 10.3157 | − | 23.9358i | 0.756385 | − | 1.75506i | ||||
\(187\) | 1.46042 | − | 0.975821i | 0.106796 | − | 0.0713591i | ||||
\(188\) | −1.93240 | + | 4.46621i | −0.140935 | + | 0.325732i | ||||
\(189\) | −7.45276 | + | 10.7034i | −0.542109 | + | 0.778560i | ||||
\(190\) | −1.06913 | − | 5.60372i | −0.0775630 | − | 0.406536i | ||||
\(191\) | −11.2519 | −0.814159 | −0.407080 | − | 0.913393i | \(-0.633453\pi\) | ||||
−0.407080 | + | 0.913393i | \(0.633453\pi\) | |||||||
\(192\) | 7.07291 | + | 11.9153i | 0.510443 | + | 0.859912i | ||||
\(193\) | 1.24710 | 0.0897684 | 0.0448842 | − | 0.998992i | \(-0.485708\pi\) | ||||
0.0448842 | + | 0.998992i | \(0.485708\pi\) | |||||||
\(194\) | 3.89930 | + | 20.4377i | 0.279953 | + | 1.46734i | ||||
\(195\) | −5.28813 | − | 3.58255i | −0.378691 | − | 0.256552i | ||||
\(196\) | 1.28440 | + | 0.555724i | 0.0917430 | + | 0.0396945i | ||||
\(197\) | −21.2929 | + | 14.2275i | −1.51706 | + | 1.01367i | −0.530980 | + | 0.847384i | \(0.678176\pi\) |
−0.986078 | + | 0.166282i | \(0.946824\pi\) | |||||||
\(198\) | 4.75071 | − | 1.85401i | 0.337618 | − | 0.131759i | ||||
\(199\) | 5.07312 | − | 12.2476i | 0.359624 | − | 0.868209i | −0.635729 | − | 0.771913i | \(-0.719300\pi\) |
0.995353 | − | 0.0962966i | \(-0.0306997\pi\) | |||||||
\(200\) | −0.250230 | − | 1.43303i | −0.0176939 | − | 0.101331i | ||||
\(201\) | −21.5982 | − | 9.10852i | −1.52342 | − | 0.642466i | ||||
\(202\) | 2.44885 | + | 2.48748i | 0.172300 | + | 0.175018i | ||||
\(203\) | 3.93120 | − | 19.7635i | 0.275916 | − | 1.38712i | ||||
\(204\) | 4.26982 | − | 2.71879i | 0.298947 | − | 0.190354i | ||||
\(205\) | −11.9114 | + | 17.8266i | −0.831926 | + | 1.24506i | ||||
\(206\) | −1.83183 | − | 0.379299i | −0.127629 | − | 0.0264270i | ||||
\(207\) | −10.2592 | + | 10.0000i | −0.713063 | + | 0.695050i | ||||
\(208\) | 1.03208 | + | 6.19635i | 0.0715620 | + | 0.429639i | ||||
\(209\) | 1.46006 | + | 1.46006i | 0.100994 | + | 0.100994i | ||||
\(210\) | −14.1189 | − | 3.01776i | −0.974296 | − | 0.208245i | ||||
\(211\) | 0.0829958 | − | 0.124212i | 0.00571367 | − | 0.00855110i | −0.828602 | − | 0.559838i | \(-0.810863\pi\) |
0.834315 | + | 0.551287i | \(0.185863\pi\) | |||||||
\(212\) | 11.8841 | − | 2.17112i | 0.816204 | − | 0.149113i | ||||
\(213\) | 7.28170 | − | 4.79840i | 0.498934 | − | 0.328781i | ||||
\(214\) | −15.8355 | − | 0.123923i | −1.08249 | − | 0.00847118i | ||||
\(215\) | −8.51343 | − | 20.5532i | −0.580611 | − | 1.40172i | ||||
\(216\) | 13.8057 | − | 5.04003i | 0.939361 | − | 0.342931i | ||||
\(217\) | 10.2208 | − | 24.6752i | 0.693834 | − | 1.67506i | ||||
\(218\) | −20.3250 | − | 8.60583i | −1.37658 | − | 0.582860i | ||||
\(219\) | −2.34158 | + | 11.3907i | −0.158229 | + | 0.769710i | ||||
\(220\) | 3.92881 | + | 4.05376i | 0.264881 | + | 0.273304i | ||||
\(221\) | 2.25070 | − | 0.447692i | 0.151399 | − | 0.0301150i | ||||
\(222\) | 4.06108 | + | 22.0508i | 0.272562 | + | 1.47995i | ||||
\(223\) | −7.98954 | −0.535019 | −0.267510 | − | 0.963555i | \(-0.586201\pi\) | ||||
−0.267510 | + | 0.963555i | \(0.586201\pi\) | |||||||
\(224\) | 7.42063 | + | 12.1055i | 0.495811 | + | 0.808832i | ||||
\(225\) | −1.54283 | − | 0.0197366i | −0.102855 | − | 0.00131577i | ||||
\(226\) | 10.5100 | − | 15.4660i | 0.699117 | − | 1.02878i | ||||
\(227\) | −1.13785 | − | 5.72036i | −0.0755217 | − | 0.379673i | 0.924477 | − | 0.381238i | \(-0.124502\pi\) |
−0.999999 | + | 0.00156430i | \(0.999502\pi\) | |||||||
\(228\) | 4.11401 | + | 4.29953i | 0.272457 | + | 0.284744i | ||||
\(229\) | −3.83660 | + | 2.56353i | −0.253530 | + | 0.169403i | −0.675840 | − | 0.737048i | \(-0.736219\pi\) |
0.422311 | + | 0.906451i | \(0.361219\pi\) | |||||||
\(230\) | −14.6041 | − | 6.18355i | −0.962966 | − | 0.407731i | ||||
\(231\) | 4.84062 | − | 1.96887i | 0.318489 | − | 0.129542i | ||||
\(232\) | −16.4286 | + | 15.6748i | −1.07859 | + | 1.02910i | ||||
\(233\) | 12.0108 | − | 4.97502i | 0.786851 | − | 0.325924i | 0.0471740 | − | 0.998887i | \(-0.484978\pi\) |
0.739677 | + | 0.672962i | \(0.234978\pi\) | |||||||
\(234\) | 6.66135 | + | 0.137358i | 0.435466 | + | 0.00897936i | ||||
\(235\) | −1.11469 | + | 5.60391i | −0.0727142 | + | 0.365559i | ||||
\(236\) | 16.6495 | + | 11.5058i | 1.08379 | + | 0.748963i | ||||
\(237\) | 0.498985 | + | 2.59521i | 0.0324126 | + | 0.168577i | ||||
\(238\) | 4.33529 | − | 2.84793i | 0.281015 | − | 0.184604i | ||||
\(239\) | −2.26137 | + | 2.26137i | −0.146276 | + | 0.146276i | −0.776452 | − | 0.630176i | \(-0.782983\pi\) |
0.630176 | + | 0.776452i | \(0.282983\pi\) | |||||||
\(240\) | 11.0623 | + | 11.9295i | 0.714070 | + | 0.770044i | ||||
\(241\) | −14.0562 | − | 14.0562i | −0.905439 | − | 0.905439i | 0.0904612 | − | 0.995900i | \(-0.471166\pi\) |
−0.995900 | + | 0.0904612i | \(0.971166\pi\) | |||||||
\(242\) | 13.2324 | + | 2.73990i | 0.850611 | + | 0.176128i | ||||
\(243\) | −2.55076 | − | 15.3783i | −0.163631 | − | 0.986522i | ||||
\(244\) | 14.8979 | − | 9.62066i | 0.953741 | − | 0.615900i | ||||
\(245\) | 1.61159 | + | 0.320565i | 0.102961 | + | 0.0204801i | ||||
\(246\) | 0.318037 | − | 22.3619i | 0.0202773 | − | 1.42574i | ||||
\(247\) | 1.03237 | + | 2.49237i | 0.0656883 | + | 0.158586i | ||||
\(248\) | −25.4097 | + | 16.1285i | −1.61352 | + | 1.02416i | ||||
\(249\) | −19.2126 | + | 7.81452i | −1.21755 | + | 0.495225i | ||||
\(250\) | 5.59284 | + | 13.8069i | 0.353722 | + | 0.873226i | ||||
\(251\) | 9.63151 | + | 14.4146i | 0.607935 | + | 0.909840i | 0.999949 | − | 0.0101198i | \(-0.00322128\pi\) |
−0.392013 | + | 0.919960i | \(0.628221\pi\) | |||||||
\(252\) | 14.0721 | − | 5.36526i | 0.886458 | − | 0.337980i | ||||
\(253\) | 5.62990 | − | 1.11986i | 0.353949 | − | 0.0704048i | ||||
\(254\) | −2.40029 | − | 12.5808i | −0.150608 | − | 0.789392i | ||||
\(255\) | 4.22939 | − | 4.17563i | 0.264855 | − | 0.261488i | ||||
\(256\) | 1.00101 | − | 15.9687i | 0.0625628 | − | 0.998041i | ||||
\(257\) | 27.0736i | 1.68880i | 0.535711 | + | 0.844401i | \(0.320044\pi\) | ||||
−0.535711 | + | 0.844401i | \(0.679956\pi\) | |||||||
\(258\) | 19.1095 | + | 13.1655i | 1.18971 | + | 0.819647i | ||||
\(259\) | 4.48237 | + | 22.5344i | 0.278521 | + | 1.40022i | ||||
\(260\) | 2.71551 | + | 6.85745i | 0.168409 | + | 0.425281i | ||||
\(261\) | 13.1232 | + | 20.1947i | 0.812304 | + | 1.25002i | ||||
\(262\) | 6.17237 | − | 2.50027i | 0.381330 | − | 0.154467i | ||||
\(263\) | 13.4416 | + | 5.56770i | 0.828846 | + | 0.343319i | 0.756446 | − | 0.654057i | \(-0.226934\pi\) |
0.0724000 | + | 0.997376i | \(0.476934\pi\) | |||||||
\(264\) | −5.73855 | − | 1.32079i | −0.353183 | − | 0.0812892i | ||||
\(265\) | 13.1047 | − | 5.42814i | 0.805015 | − | 0.333448i | ||||
\(266\) | 4.27793 | + | 4.34541i | 0.262296 | + | 0.266434i | ||||
\(267\) | −1.52164 | + | 1.00271i | −0.0931231 | + | 0.0613650i | ||||
\(268\) | 14.6833 | + | 22.7375i | 0.896924 | + | 1.38892i | ||||
\(269\) | −2.70937 | − | 1.81035i | −0.165193 | − | 0.110379i | 0.470226 | − | 0.882546i | \(-0.344173\pi\) |
−0.635419 | + | 0.772168i | \(0.719173\pi\) | |||||||
\(270\) | 14.6016 | − | 9.19595i | 0.888627 | − | 0.559648i | ||||
\(271\) | 10.3574 | − | 10.3574i | 0.629165 | − | 0.629165i | −0.318693 | − | 0.947858i | \(-0.603244\pi\) |
0.947858 | + | 0.318693i | \(0.103244\pi\) | |||||||
\(272\) | −5.84216 | − | 0.182930i | −0.354233 | − | 0.0110918i | ||||
\(273\) | 6.82730 | + | 0.0436671i | 0.413207 | + | 0.00264285i | ||||
\(274\) | 0.488408 | + | 0.743484i | 0.0295058 | + | 0.0449155i | ||||
\(275\) | 0.514025 | + | 0.343460i | 0.0309969 | + | 0.0207114i | ||||
\(276\) | 16.2923 | − | 2.86890i | 0.980679 | − | 0.172687i | ||||
\(277\) | 3.19678 | + | 0.635880i | 0.192076 | + | 0.0382063i | 0.290191 | − | 0.956969i | \(-0.406281\pi\) |
−0.0981147 | + | 0.995175i | \(0.531281\pi\) | |||||||
\(278\) | −19.7537 | − | 0.154585i | −1.18475 | − | 0.00927137i | ||||
\(279\) | 11.8377 | + | 29.6458i | 0.708706 | + | 1.77485i | ||||
\(280\) | 11.5084 | + | 12.0619i | 0.687761 | + | 0.720836i | ||||
\(281\) | −1.35873 | − | 0.562803i | −0.0810549 | − | 0.0335740i | 0.341788 | − | 0.939777i | \(-0.388968\pi\) |
−0.422842 | + | 0.906203i | \(0.638968\pi\) | |||||||
\(282\) | −2.20226 | − | 5.53821i | −0.131143 | − | 0.329796i | ||||
\(283\) | −9.27737 | − | 13.8846i | −0.551483 | − | 0.825352i | 0.446090 | − | 0.894988i | \(-0.352816\pi\) |
−0.997572 | + | 0.0696361i | \(0.977816\pi\) | |||||||
\(284\) | −10.0684 | − | 0.157592i | −0.597448 | − | 0.00935138i | ||||
\(285\) | 5.78446 | + | 3.91880i | 0.342642 | + | 0.232130i | ||||
\(286\) | −2.20798 | − | 1.50045i | −0.130560 | − | 0.0887233i | ||||
\(287\) | − | 22.9169i | − | 1.35274i | ||||||
\(288\) | −16.4502 | − | 4.17011i | −0.969339 | − | 0.245726i | ||||
\(289\) | − | 14.8647i | − | 0.874396i | ||||||
\(290\) | −14.9849 | + | 22.0509i | −0.879942 | + | 1.29488i | ||||
\(291\) | −21.0969 | − | 14.2925i | −1.23672 | − | 0.837841i | ||||
\(292\) | 9.64236 | − | 9.34516i | 0.564276 | − | 0.546884i | ||||
\(293\) | −6.14884 | − | 9.20240i | −0.359219 | − | 0.537610i | 0.607210 | − | 0.794541i | \(-0.292289\pi\) |
−0.966430 | + | 0.256931i | \(0.917289\pi\) | |||||||
\(294\) | −1.59269 | + | 0.633332i | −0.0928877 | + | 0.0369367i | ||||
\(295\) | 21.9536 | + | 9.09348i | 1.27819 | + | 0.529443i | ||||
\(296\) | 10.4666 | − | 23.6804i | 0.608356 | − | 1.37639i | ||||
\(297\) | −2.50043 | + | 5.72343i | −0.145090 | + | 0.332107i | ||||
\(298\) | 0.142631 | − | 18.2262i | 0.00826242 | − | 1.05582i | ||||
\(299\) | 7.35553 | + | 1.46311i | 0.425381 | + | 0.0846136i | ||||
\(300\) | 1.45921 | + | 1.02225i | 0.0842475 | + | 0.0590196i | ||||
\(301\) | 19.7717 | + | 13.2111i | 1.13962 | + | 0.761472i | ||||
\(302\) | −7.87896 | + | 5.17583i | −0.453383 | + | 0.297836i | ||||
\(303\) | −4.27503 | − | 0.0273429i | −0.245594 | − | 0.00157081i | ||||
\(304\) | −1.12895 | − | 6.77792i | −0.0647498 | − | 0.388741i | ||||
\(305\) | 14.7236 | − | 14.7236i | 0.843072 | − | 0.843072i | ||||
\(306\) | −1.33457 | + | 6.05423i | −0.0762925 | + | 0.346097i | ||||
\(307\) | 13.7941 | + | 9.21691i | 0.787269 | + | 0.526037i | 0.883001 | − | 0.469371i | \(-0.155519\pi\) |
−0.0957319 | + | 0.995407i | \(0.530519\pi\) | |||||||
\(308\) | −5.89904 | − | 1.26968i | −0.336129 | − | 0.0723466i | ||||
\(309\) | 1.91309 | − | 1.26066i | 0.108832 | − | 0.0717166i | ||||
\(310\) | −25.1817 | + | 24.7906i | −1.43022 | + | 1.40801i | ||||
\(311\) | −10.6310 | + | 4.40352i | −0.602831 | + | 0.249701i | −0.663160 | − | 0.748478i | \(-0.730785\pi\) |
0.0603287 | + | 0.998179i | \(0.480785\pi\) | |||||||
\(312\) | −6.26639 | − | 4.46343i | −0.354764 | − | 0.252692i | ||||
\(313\) | −18.4731 | − | 7.65179i | −1.04416 | − | 0.432505i | −0.206356 | − | 0.978477i | \(-0.566160\pi\) |
−0.837803 | + | 0.545972i | \(0.816160\pi\) | |||||||
\(314\) | 3.73192 | + | 9.21291i | 0.210604 | + | 0.519915i | ||||
\(315\) | 14.8270 | − | 9.63507i | 0.835408 | − | 0.542875i | ||||
\(316\) | 1.21177 | − | 2.80067i | 0.0681673 | − | 0.157550i | ||||
\(317\) | 1.77879 | + | 8.94260i | 0.0999070 | + | 0.502266i | 0.998042 | + | 0.0625465i | \(0.0199222\pi\) |
−0.898135 | + | 0.439720i | \(0.855078\pi\) | |||||||
\(318\) | −8.39428 | + | 12.1842i | −0.470728 | + | 0.683256i | ||||
\(319\) | − | 9.64972i | − | 0.540281i | ||||||
\(320\) | −2.79615 | − | 18.5768i | −0.156310 | − | 1.03848i | ||||
\(321\) | 13.8018 | − | 13.6264i | 0.770342 | − | 0.760550i | ||||
\(322\) | 16.6515 | − | 3.17693i | 0.927950 | − | 0.177043i | ||||
\(323\) | −2.46195 | + | 0.489712i | −0.136986 | + | 0.0272483i | ||||
\(324\) | −7.56797 | + | 16.3317i | −0.420443 | + | 0.907319i | ||||
\(325\) | 0.448734 | + | 0.671578i | 0.0248913 | + | 0.0372525i | ||||
\(326\) | 20.1856 | − | 8.17667i | 1.11798 | − | 0.452864i | ||||
\(327\) | 25.0403 | − | 10.1849i | 1.38473 | − | 0.563225i | ||||
\(328\) | −14.8471 | + | 21.1291i | −0.819792 | + | 1.16666i | ||||
\(329\) | −2.33717 | − | 5.64243i | −0.128852 | − | 0.311077i | ||||
\(330\) | −6.91326 | − | 0.0983224i | −0.380562 | − | 0.00541247i | ||||
\(331\) | −8.42238 | − | 1.67531i | −0.462936 | − | 0.0920836i | −0.0418884 | − | 0.999122i | \(-0.513337\pi\) |
−0.421047 | + | 0.907039i | \(0.638337\pi\) | |||||||
\(332\) | 23.4135 | + | 5.03939i | 1.28498 | + | 0.276573i | ||||
\(333\) | −22.6358 | − | 15.5472i | −1.24044 | − | 0.851983i | ||||
\(334\) | 2.43855 | − | 11.7770i | 0.133431 | − | 0.644409i | ||||
\(335\) | 22.4715 | + | 22.4715i | 1.22775 | + | 1.22775i | ||||
\(336\) | −16.9159 | − | 4.03303i | −0.922838 | − | 0.220020i | ||||
\(337\) | 0.976430 | − | 0.976430i | 0.0531895 | − | 0.0531895i | −0.680012 | − | 0.733201i | \(-0.738025\pi\) |
0.733201 | + | 0.680012i | \(0.238025\pi\) | |||||||
\(338\) | 8.17914 | + | 12.4508i | 0.444886 | + | 0.677233i | ||||
\(339\) | 4.32415 | + | 22.4898i | 0.234855 | + | 1.22148i | ||||
\(340\) | −6.75107 | + | 1.23336i | −0.366128 | + | 0.0668885i | ||||
\(341\) | 2.49521 | − | 12.5443i | 0.135123 | − | 0.679311i | ||||
\(342\) | −7.28657 | − | 0.150250i | −0.394012 | − | 0.00812458i | ||||
\(343\) | −17.8554 | + | 7.39597i | −0.964103 | + | 0.399345i | ||||
\(344\) | −9.67029 | − | 24.9898i | −0.521387 | − | 1.34736i | ||||
\(345\) | 17.9922 | − | 7.31814i | 0.968667 | − | 0.393995i | ||||
\(346\) | −4.56187 | + | 10.7741i | −0.245248 | + | 0.579218i | ||||
\(347\) | 20.8105 | − | 13.9051i | 1.11716 | − | 0.746465i | 0.147053 | − | 0.989129i | \(-0.453021\pi\) |
0.970111 | + | 0.242663i | \(0.0780211\pi\) | |||||||
\(348\) | 0.613071 | − | 27.8032i | 0.0328640 | − | 1.49041i | ||||
\(349\) | −2.53371 | − | 12.7378i | −0.135626 | − | 0.681839i | −0.987440 | − | 0.157995i | \(-0.949497\pi\) |
0.851814 | − | 0.523845i | \(-0.175503\pi\) | |||||||
\(350\) | 1.51002 | + | 1.02615i | 0.0807140 | + | 0.0548498i | ||||
\(351\) | −5.87977 | + | 5.65835i | −0.313839 | + | 0.302020i | ||||
\(352\) | 4.61625 | + | 4.99241i | 0.246047 | + | 0.266096i | ||||
\(353\) | −13.9487 | −0.742413 | −0.371207 | − | 0.928550i | \(-0.621056\pi\) | ||||
−0.371207 | + | 0.928550i | \(0.621056\pi\) | |||||||
\(354\) | −24.3768 | + | 4.48946i | −1.29561 | + | 0.238612i | ||||
\(355\) | −11.5959 | + | 2.30656i | −0.615444 | + | 0.122419i | ||||
\(356\) | 2.10397 | + | 0.0329318i | 0.111510 | + | 0.00174538i | ||||
\(357\) | −1.27920 | + | 6.22269i | −0.0677023 | + | 0.329340i | ||||
\(358\) | 8.24374 | − | 19.4698i | 0.435695 | − | 1.02901i | ||||
\(359\) | −8.37005 | + | 20.2071i | −0.441754 | + | 1.06649i | 0.533578 | + | 0.845751i | \(0.320847\pi\) |
−0.975333 | + | 0.220739i | \(0.929153\pi\) | |||||||
\(360\) | −19.9125 | − | 0.722507i | −1.04948 | − | 0.0380795i | ||||
\(361\) | 6.14172 | + | 14.8274i | 0.323248 | + | 0.780390i | ||||
\(362\) | −0.0374078 | + | 4.78017i | −0.00196611 | + | 0.251240i | ||||
\(363\) | −13.8194 | + | 9.10653i | −0.725331 | + | 0.477969i | ||||
\(364\) | −6.48567 | − | 4.48197i | −0.339941 | − | 0.234919i | ||||
\(365\) | 8.75914 | − | 13.1090i | 0.458474 | − | 0.686155i | ||||
\(366\) | −4.53987 | + | 21.2402i | −0.237303 | + | 1.11024i | ||||
\(367\) | 6.51113 | + | 6.51113i | 0.339878 | + | 0.339878i | 0.856321 | − | 0.516443i | \(-0.172744\pi\) |
−0.516443 | + | 0.856321i | \(0.672744\pi\) | |||||||
\(368\) | −17.4106 | − | 7.85881i | −0.907592 | − | 0.409669i | ||||
\(369\) | 19.1186 | + | 19.6141i | 0.995274 | + | 1.02107i | ||||
\(370\) | 6.16360 | − | 29.7672i | 0.320430 | − | 1.54752i | ||||
\(371\) | −8.42334 | + | 12.6064i | −0.437318 | + | 0.654492i | ||||
\(372\) | 7.98628 | − | 35.9846i | 0.414069 | − | 1.86571i | ||||
\(373\) | 4.43049 | − | 22.2736i | 0.229402 | − | 1.15328i | −0.678662 | − | 0.734451i | \(-0.737440\pi\) |
0.908064 | − | 0.418832i | \(-0.137560\pi\) | |||||||
\(374\) | 1.77012 | − | 1.74263i | 0.0915308 | − | 0.0901094i | ||||
\(375\) | −16.8108 | − | 7.08958i | −0.868108 | − | 0.366104i | ||||
\(376\) | −1.50069 | + | 6.71642i | −0.0773924 | + | 0.346373i | ||||
\(377\) | 4.82467 | − | 11.6478i | 0.248483 | − | 0.599891i | ||||
\(378\) | −7.51625 | + | 16.8440i | −0.386594 | + | 0.866362i | ||||
\(379\) | −2.55608 | + | 1.70792i | −0.131297 | + | 0.0877299i | −0.619484 | − | 0.785009i | \(-0.712658\pi\) |
0.488187 | + | 0.872739i | \(0.337658\pi\) | |||||||
\(380\) | −2.97038 | − | 7.50108i | −0.152377 | − | 0.384797i | ||||
\(381\) | 12.9866 | + | 8.79805i | 0.665325 | + | 0.450738i | ||||
\(382\) | −15.6307 | + | 2.98217i | −0.799734 | + | 0.152581i | ||||
\(383\) | 7.84701 | 0.400963 | 0.200482 | − | 0.979697i | \(-0.435749\pi\) | ||||
0.200482 | + | 0.979697i | \(0.435749\pi\) | |||||||
\(384\) | 12.9834 | + | 14.6776i | 0.662554 | + | 0.749014i | ||||
\(385\) | −7.08485 | −0.361077 | ||||||||
\(386\) | 1.73242 | − | 0.330528i | 0.0881778 | − | 0.0168234i | ||||
\(387\) | −27.9436 | + | 5.18766i | −1.42045 | + | 0.263704i | ||||
\(388\) | 10.8335 | + | 27.3577i | 0.549986 | + | 1.38887i | ||||
\(389\) | −14.8388 | + | 9.91496i | −0.752356 | + | 0.502708i | −0.871637 | − | 0.490152i | \(-0.836941\pi\) |
0.119281 | + | 0.992861i | \(0.461941\pi\) | |||||||
\(390\) | −8.29555 | − | 3.57517i | −0.420061 | − | 0.181036i | ||||
\(391\) | −2.67047 | + | 6.44708i | −0.135051 | + | 0.326043i | ||||
\(392\) | 1.93152 | + | 0.431573i | 0.0975566 | + | 0.0217977i | ||||
\(393\) | −3.16939 | + | 7.51526i | −0.159874 | + | 0.379095i | ||||
\(394\) | −25.8084 | + | 25.4076i | −1.30021 | + | 1.28002i | ||||
\(395\) | 0.698998 | − | 3.51410i | 0.0351704 | − | 0.176814i | ||||
\(396\) | 6.10809 | − | 3.83462i | 0.306943 | − | 0.192697i | ||||
\(397\) | −0.0887975 | + | 0.132895i | −0.00445662 | + | 0.00666980i | −0.833691 | − | 0.552231i | \(-0.813777\pi\) |
0.829235 | + | 0.558901i | \(0.188777\pi\) | |||||||
\(398\) | 3.80129 | − | 18.3584i | 0.190542 | − | 0.920223i | ||||
\(399\) | −7.46810 | − | 0.0477656i | −0.373873 | − | 0.00239127i | ||||
\(400\) | −0.727414 | − | 1.92438i | −0.0363707 | − | 0.0962191i | ||||
\(401\) | 8.80221 | + | 8.80221i | 0.439561 | + | 0.439561i | 0.891864 | − | 0.452303i | \(-0.149397\pi\) |
−0.452303 | + | 0.891864i | \(0.649397\pi\) | |||||||
\(402\) | −32.4173 | − | 6.92885i | −1.61683 | − | 0.345580i | ||||
\(403\) | 9.28375 | − | 13.8941i | 0.462457 | − | 0.692115i | ||||
\(404\) | 4.06111 | + | 2.80646i | 0.202048 | + | 0.139627i | ||||
\(405\) | −4.65200 | + | 20.6160i | −0.231160 | + | 1.02442i | ||||
\(406\) | 0.223002 | − | 28.4965i | 0.0110674 | − | 1.41426i | ||||
\(407\) | 4.21054 | + | 10.1651i | 0.208708 | + | 0.503867i | ||||
\(408\) | 5.21087 | − | 4.90849i | 0.257976 | − | 0.243006i | ||||
\(409\) | 12.7795 | − | 30.8523i | 0.631904 | − | 1.52555i | −0.205323 | − | 0.978694i | \(-0.565825\pi\) |
0.837227 | − | 0.546856i | \(-0.184175\pi\) | |||||||
\(410\) | −11.8220 | + | 27.9209i | −0.583849 | + | 1.37892i | ||||
\(411\) | −1.06716 | − | 0.219377i | −0.0526393 | − | 0.0108211i | ||||
\(412\) | −2.64522 | − | 0.0414036i | −0.130321 | − | 0.00203981i | ||||
\(413\) | −24.9114 | + | 4.95518i | −1.22581 | + | 0.243829i | ||||
\(414\) | −11.6012 | + | 16.6107i | −0.570170 | + | 0.816369i | ||||
\(415\) | 28.1200 | 1.38036 | ||||||||
\(416\) | 3.07598 | + | 8.33416i | 0.150812 | + | 0.408616i | ||||
\(417\) | 17.2168 | − | 16.9979i | 0.843108 | − | 0.832392i | ||||
\(418\) | 2.41521 | + | 1.64128i | 0.118132 | + | 0.0802775i | ||||
\(419\) | 2.64144 | + | 13.2794i | 0.129043 | + | 0.648743i | 0.990115 | + | 0.140259i | \(0.0447936\pi\) |
−0.861072 | + | 0.508483i | \(0.830206\pi\) | |||||||
\(420\) | −20.4132 | − | 0.450118i | −0.996061 | − | 0.0219635i | ||||
\(421\) | 6.43406 | − | 4.29910i | 0.313577 | − | 0.209526i | −0.388815 | − | 0.921316i | \(-0.627115\pi\) |
0.702392 | + | 0.711790i | \(0.252115\pi\) | |||||||
\(422\) | 0.0823734 | − | 0.194547i | 0.00400987 | − | 0.00947039i | ||||
\(423\) | 6.70757 | + | 2.87943i | 0.326133 | + | 0.140003i | ||||
\(424\) | 15.9335 | − | 6.16576i | 0.773797 | − | 0.299436i | ||||
\(425\) | −0.694342 | + | 0.287606i | −0.0336805 | + | 0.0139509i | ||||
\(426\) | 8.84367 | − | 8.59565i | 0.428477 | − | 0.416460i | ||||
\(427\) | −4.34209 | + | 21.8292i | −0.210128 | + | 1.05639i | ||||
\(428\) | −22.0308 | + | 4.02484i | −1.06490 | + | 0.194548i | ||||
\(429\) | 3.21071 | − | 0.617329i | 0.155015 | − | 0.0298049i | ||||
\(430\) | −17.2739 | − | 26.2953i | −0.833019 | − | 1.26807i | ||||
\(431\) | −12.8178 | + | 12.8178i | −0.617413 | + | 0.617413i | −0.944867 | − | 0.327454i | \(-0.893809\pi\) |
0.327454 | + | 0.944867i | \(0.393809\pi\) | |||||||
\(432\) | 17.8425 | − | 10.6604i | 0.858449 | − | 0.512900i | ||||
\(433\) | −11.0902 | − | 11.0902i | −0.532962 | − | 0.532962i | 0.388491 | − | 0.921453i | \(-0.372997\pi\) |
−0.921453 | + | 0.388491i | \(0.872997\pi\) | |||||||
\(434\) | 7.65847 | − | 36.9867i | 0.367618 | − | 1.77542i | ||||
\(435\) | −6.16523 | − | 32.0652i | −0.295600 | − | 1.53741i | ||||
\(436\) | −30.5154 | − | 6.56798i | −1.46142 | − | 0.314549i | ||||
\(437\) | −8.04590 | − | 1.60043i | −0.384888 | − | 0.0765589i | ||||
\(438\) | −0.233872 | + | 16.4440i | −0.0111748 | + | 0.785726i | ||||
\(439\) | 6.83871 | + | 16.5101i | 0.326394 | + | 0.787984i | 0.998854 | + | 0.0478514i | \(0.0152374\pi\) |
−0.672461 | + | 0.740133i | \(0.734763\pi\) | |||||||
\(440\) | 6.53213 | + | 4.59003i | 0.311407 | + | 0.218821i | ||||
\(441\) | 0.828073 | − | 1.92898i | 0.0394321 | − | 0.0918561i | ||||
\(442\) | 3.00792 | − | 1.21843i | 0.143072 | − | 0.0579550i | ||||
\(443\) | 9.67418 | + | 14.4784i | 0.459634 | + | 0.687891i | 0.986813 | − | 0.161863i | \(-0.0517502\pi\) |
−0.527179 | + | 0.849754i | \(0.676750\pi\) | |||||||
\(444\) | 11.4858 | + | 29.5557i | 0.545090 | + | 1.40265i | ||||
\(445\) | 2.42316 | − | 0.481997i | 0.114869 | − | 0.0228489i | ||||
\(446\) | −11.0987 | + | 2.11752i | −0.525540 | + | 0.100268i | ||||
\(447\) | 15.6836 | + | 15.8855i | 0.741807 | + | 0.751357i | ||||
\(448\) | 13.5168 | + | 14.8497i | 0.638609 | + | 0.701581i | ||||
\(449\) | − | 25.7924i | − | 1.21722i | −0.793471 | − | 0.608609i | \(-0.791728\pi\) | ||
0.793471 | − | 0.608609i | \(-0.208272\pi\) | |||||||
\(450\) | −2.14846 | + | 0.381490i | −0.101280 | + | 0.0179836i | ||||
\(451\) | −2.14100 | − | 10.7636i | −0.100816 | − | 0.506836i | ||||
\(452\) | 10.5010 | − | 24.2702i | 0.493927 | − | 1.14158i | ||||
\(453\) | 2.32481 | − | 11.3091i | 0.109229 | − | 0.531349i | ||||
\(454\) | −3.09676 | − | 7.64490i | −0.145338 | − | 0.358793i | ||||
\(455\) | −8.55182 | − | 3.54228i | −0.400916 | − | 0.166065i | ||||
\(456\) | 6.85454 | + | 4.88236i | 0.320993 | + | 0.228637i | ||||
\(457\) | −22.6817 | + | 9.39508i | −1.06101 | + | 0.439483i | −0.843809 | − | 0.536644i | \(-0.819692\pi\) |
−0.217198 | + | 0.976128i | \(0.569692\pi\) | |||||||
\(458\) | −4.65020 | + | 4.57799i | −0.217290 | + | 0.213915i | ||||
\(459\) | −4.09648 | − | 6.39304i | −0.191208 | − | 0.298402i | ||||
\(460\) | −21.9262 | − | 4.71929i | −1.02232 | − | 0.220038i | ||||
\(461\) | −5.91534 | − | 3.95250i | −0.275505 | − | 0.184086i | 0.410140 | − | 0.912022i | \(-0.365480\pi\) |
−0.685645 | + | 0.727936i | \(0.740480\pi\) | |||||||
\(462\) | 6.20255 | − | 4.01801i | 0.288569 | − | 0.186935i | ||||
\(463\) | 13.9958 | − | 13.9958i | 0.650439 | − | 0.650439i | −0.302660 | − | 0.953099i | \(-0.597875\pi\) |
0.953099 | + | 0.302660i | \(0.0978745\pi\) | |||||||
\(464\) | −18.6675 | + | 26.1289i | −0.866615 | + | 1.21300i | ||||
\(465\) | 0.276802 | − | 43.2777i | 0.0128364 | − | 2.00696i | ||||
\(466\) | 15.3663 | − | 10.0944i | 0.711828 | − | 0.467613i | ||||
\(467\) | −8.81377 | − | 5.88917i | −0.407853 | − | 0.272518i | 0.334675 | − | 0.942334i | \(-0.391373\pi\) |
−0.742528 | + | 0.669815i | \(0.766373\pi\) | |||||||
\(468\) | 9.29006 | − | 1.57469i | 0.429433 | − | 0.0727901i | ||||
\(469\) | −33.3162 | − | 6.62700i | −1.53840 | − | 0.306006i | ||||
\(470\) | −0.0632322 | + | 8.08015i | −0.00291668 | + | 0.372709i | ||||
\(471\) | −11.2173 | − | 4.73065i | −0.516867 | − | 0.217977i | ||||
\(472\) | 26.1783 | + | 11.5706i | 1.20495 | + | 0.532580i | ||||
\(473\) | 10.5206 | + | 4.35777i | 0.483737 | + | 0.200370i | ||||
\(474\) | 1.38099 | + | 3.47290i | 0.0634312 | + | 0.159516i | ||||
\(475\) | −0.490852 | − | 0.734612i | −0.0225218 | − | 0.0337063i | ||||
\(476\) | 5.26759 | − | 5.10523i | 0.241440 | − | 0.233998i | ||||
\(477\) | −3.30764 | − | 17.8168i | −0.151446 | − | 0.815774i | ||||
\(478\) | −2.54205 | + | 3.74074i | −0.116270 | + | 0.171097i | ||||
\(479\) | − | 8.04583i | − | 0.367623i | −0.982961 | − | 0.183812i | \(-0.941156\pi\) | ||
0.982961 | − | 0.183812i | \(-0.0588437\pi\) | |||||||
\(480\) | 18.5290 | + | 13.6400i | 0.845731 | + | 0.622577i | ||||
\(481\) | 14.3751i | 0.655447i | ||||||||
\(482\) | −23.2517 | − | 15.8008i | −1.05908 | − | 0.719708i | ||||
\(483\) | −11.6447 | + | 17.1886i | −0.529853 | + | 0.782106i | ||||
\(484\) | 19.1080 | + | 0.299083i | 0.868547 | + | 0.0135947i | ||||
\(485\) | 19.1940 | + | 28.7258i | 0.871554 | + | 1.30437i | ||||
\(486\) | −7.61923 | − | 20.6869i | −0.345615 | − | 0.938376i | ||||
\(487\) | −3.63799 | − | 1.50690i | −0.164853 | − | 0.0682844i | 0.298731 | − | 0.954337i | \(-0.403437\pi\) |
−0.463584 | + | 0.886053i | \(0.653437\pi\) | |||||||
\(488\) | 18.1457 | − | 17.3131i | 0.821417 | − | 0.783727i | ||||
\(489\) | −10.3649 | + | 24.5773i | −0.468717 | + | 1.11142i | ||||
\(490\) | 2.32371 | + | 0.0181845i | 0.104974 | + | 0.000821490i | ||||
\(491\) | −9.27636 | − | 1.84518i | −0.418636 | − | 0.0832719i | −0.0187225 | − | 0.999825i | \(-0.505960\pi\) |
−0.399914 | + | 0.916553i | \(0.630960\pi\) | |||||||
\(492\) | −5.48492 | − | 31.1484i | −0.247279 | − | 1.40428i | ||||
\(493\) | 9.75398 | + | 6.51740i | 0.439297 | + | 0.293529i | ||||
\(494\) | 2.09470 | + | 3.18867i | 0.0942449 | + | 0.143465i | ||||
\(495\) | 6.06376 | − | 5.91058i | 0.272546 | − | 0.265661i | ||||
\(496\) | −31.0234 | + | 29.1395i | −1.39299 | + | 1.30840i | ||||
\(497\) | 8.93608 | − | 8.93608i | 0.400838 | − | 0.400838i | ||||
\(498\) | −24.6181 | + | 15.9476i | −1.10316 | + | 0.714631i | ||||
\(499\) | 8.23322 | + | 5.50126i | 0.368570 | + | 0.246270i | 0.726038 | − | 0.687655i | \(-0.241360\pi\) |
−0.357468 | + | 0.933925i | \(0.616360\pi\) | |||||||
\(500\) | 11.4287 | + | 17.6977i | 0.511106 | + | 0.791464i | ||||
\(501\) | 8.10493 | + | 12.2995i | 0.362101 | + | 0.549499i | ||||
\(502\) | 17.2001 | + | 17.4714i | 0.767676 | + | 0.779786i | ||||
\(503\) | 32.1987 | − | 13.3371i | 1.43567 | − | 0.594673i | 0.476924 | − | 0.878944i | \(-0.341752\pi\) |
0.958744 | + | 0.284271i | \(0.0917516\pi\) | |||||||
\(504\) | 18.1263 | − | 11.1828i | 0.807411 | − | 0.498122i | ||||
\(505\) | 5.35486 | + | 2.21806i | 0.238288 | + | 0.0987022i | ||||
\(506\) | 7.52401 | − | 3.04779i | 0.334483 | − | 0.135491i | ||||
\(507\) | −17.8713 | − | 3.67380i | −0.793692 | − | 0.163159i | ||||
\(508\) | −6.66877 | − | 16.8406i | −0.295879 | − | 0.747180i | ||||
\(509\) | −3.86300 | − | 19.4206i | −0.171225 | − | 0.860804i | −0.966915 | − | 0.255100i | \(-0.917892\pi\) |
0.795690 | − | 0.605704i | \(-0.207108\pi\) | |||||||
\(510\) | 4.76859 | − | 6.92155i | 0.211156 | − | 0.306491i | ||||
\(511\) | 16.8522i | 0.745496i | ||||||||
\(512\) | −2.84173 | − | 22.4483i | −0.125588 | − | 0.992082i | ||||
\(513\) | 6.43163 | − | 6.18943i | 0.283963 | − | 0.273270i | ||||
\(514\) | 7.17549 | + | 37.6094i | 0.316497 | + | 1.65888i | ||||
\(515\) | −3.04653 | + | 0.605992i | −0.134246 | + | 0.0267032i | ||||
\(516\) | 30.0355 | + | 13.2242i | 1.32224 | + | 0.582162i | ||||
\(517\) | −1.62486 | − | 2.43177i | −0.0714612 | − | 0.106949i | ||||
\(518\) | 12.1992 | + | 30.1158i | 0.536000 | + | 1.32321i | ||||
\(519\) | −5.39891 | − | 13.2736i | −0.236986 | − | 0.582647i | ||||
\(520\) | 5.58974 | + | 8.80636i | 0.245126 | + | 0.386185i | ||||
\(521\) | 5.29874 | + | 12.7923i | 0.232142 | + | 0.560440i | 0.996429 | − | 0.0844360i | \(-0.0269088\pi\) |
−0.764287 | + | 0.644876i | \(0.776909\pi\) | |||||||
\(522\) | 23.5825 | + | 24.5755i | 1.03218 | + | 1.07564i | ||||
\(523\) | −13.7268 | − | 2.73044i | −0.600233 | − | 0.119394i | −0.114384 | − | 0.993437i | \(-0.536489\pi\) |
−0.485849 | + | 0.874043i | \(0.661489\pi\) | |||||||
\(524\) | 7.91172 | − | 5.10917i | 0.345625 | − | 0.223195i | ||||
\(525\) | −2.19578 | + | 0.422187i | −0.0958319 | + | 0.0184258i | ||||
\(526\) | 20.1482 | + | 4.17188i | 0.878501 | + | 0.181903i | ||||
\(527\) | 10.9946 | + | 10.9946i | 0.478930 | + | 0.478930i | ||||
\(528\) | −8.32180 | − | 0.313862i | −0.362160 | − | 0.0136591i | ||||
\(529\) | 0.137386 | − | 0.137386i | 0.00597329 | − | 0.00597329i | ||||
\(530\) | 16.7658 | − | 11.0138i | 0.728261 | − | 0.478408i | ||||
\(531\) | 17.1872 | − | 25.0235i | 0.745861 | − | 1.08593i | ||||
\(532\) | 7.09440 | + | 4.90264i | 0.307581 | + | 0.212557i | ||||
\(533\) | 2.79724 | − | 14.0627i | 0.121162 | − | 0.609123i | ||||
\(534\) | −1.84805 | + | 1.79622i | −0.0799728 | + | 0.0777299i | ||||
\(535\) | −24.2936 | + | 10.0627i | −1.05030 | + | 0.435050i | ||||
\(536\) | 26.4237 | + | 27.6944i | 1.14133 | + | 1.19622i | ||||
\(537\) | 9.75635 | + | 23.9867i | 0.421018 | + | 1.03510i | ||||
\(538\) | −4.24355 | − | 1.79677i | −0.182952 | − | 0.0774642i | ||||
\(539\) | −0.699335 | + | 0.467281i | −0.0301225 | + | 0.0201272i | ||||
\(540\) | 17.8467 | − | 16.6446i | 0.767999 | − | 0.716269i | ||||
\(541\) | 3.92409 | + | 19.7277i | 0.168710 | + | 0.848162i | 0.968716 | + | 0.248171i | \(0.0798294\pi\) |
−0.800006 | + | 0.599991i | \(0.795171\pi\) | |||||||
\(542\) | 11.6429 | − | 17.1331i | 0.500106 | − | 0.735929i | ||||
\(543\) | −4.11331 | − | 4.16627i | −0.176519 | − | 0.178792i | ||||
\(544\) | −8.16415 | + | 1.29427i | −0.350035 | + | 0.0554913i | ||||
\(545\) | −36.6496 | −1.56990 | ||||||||
\(546\) | 9.49576 | − | 1.74883i | 0.406381 | − | 0.0748428i | ||||
\(547\) | −8.16625 | + | 1.62437i | −0.349164 | + | 0.0694529i | −0.366557 | − | 0.930396i | \(-0.619463\pi\) |
0.0173930 | + | 0.999849i | \(0.494463\pi\) | |||||||
\(548\) | 0.875525 | + | 0.903369i | 0.0374006 | + | 0.0385900i | ||||
\(549\) | −14.4948 | − | 22.3055i | −0.618624 | − | 0.951976i | ||||
\(550\) | 0.805090 | + | 0.340885i | 0.0343292 | + | 0.0145354i | ||||
\(551\) | −5.27750 | + | 12.7410i | −0.224829 | + | 0.542786i | ||||
\(552\) | 21.8721 | − | 8.30340i | 0.930940 | − | 0.353416i | ||||
\(553\) | 1.46559 | + | 3.53825i | 0.0623234 | + | 0.150462i | ||||
\(554\) | 4.60936 | + | 0.0360711i | 0.195833 | + | 0.00153252i | ||||
\(555\) | 20.4857 | + | 31.0877i | 0.869572 | + | 1.31960i | ||||
\(556\) | −27.4819 | + | 5.02070i | −1.16549 | + | 0.212925i | ||||
\(557\) | −6.36083 | + | 9.51966i | −0.269517 | + | 0.403361i | −0.941398 | − | 0.337299i | \(-0.890487\pi\) |
0.671881 | + | 0.740659i | \(0.265487\pi\) | |||||||
\(558\) | 24.3017 | + | 38.0452i | 1.02877 | + | 1.61058i | ||||
\(559\) | 10.5202 | + | 10.5202i | 0.444955 | + | 0.444955i | ||||
\(560\) | 19.1839 | + | 13.7057i | 0.810666 | + | 0.579171i | ||||
\(561\) | −0.0194576 | + | 3.04217i | −0.000821499 | + | 0.128440i | ||||
\(562\) | −2.03665 | − | 0.421709i | −0.0859108 | − | 0.0177887i | ||||
\(563\) | −15.1485 | + | 22.6713i | −0.638432 | + | 0.955481i | 0.361303 | + | 0.932449i | \(0.382332\pi\) |
−0.999735 | + | 0.0230323i | \(0.992668\pi\) | |||||||
\(564\) | −4.52712 | − | 7.10976i | −0.190626 | − | 0.299375i | ||||
\(565\) | 6.05743 | − | 30.4528i | 0.254838 | − | 1.28116i | ||||
\(566\) | −16.5676 | − | 16.8290i | −0.696390 | − | 0.707375i | ||||
\(567\) | −8.10822 | − | 21.0850i | −0.340513 | − | 0.885488i | ||||
\(568\) | −14.0283 | + | 2.44957i | −0.588615 | + | 0.102782i | ||||
\(569\) | −10.7437 | + | 25.9376i | −0.450400 | + | 1.08736i | 0.521771 | + | 0.853086i | \(0.325272\pi\) |
−0.972170 | + | 0.234275i | \(0.924728\pi\) | |||||||
\(570\) | 9.07415 | + | 3.91073i | 0.380074 | + | 0.163802i | ||||
\(571\) | 7.04025 | − | 4.70415i | 0.294625 | − | 0.196862i | −0.399468 | − | 0.916747i | \(-0.630805\pi\) |
0.694094 | + | 0.719885i | \(0.255805\pi\) | |||||||
\(572\) | −3.46490 | − | 1.49916i | −0.144875 | − | 0.0626831i | ||||
\(573\) | 10.9309 | − | 16.1348i | 0.456643 | − | 0.674042i | ||||
\(574\) | −6.07382 | − | 31.8352i | −0.253516 | − | 1.32877i | ||||
\(575\) | −2.45615 | −0.102428 | ||||||||
\(576\) | −23.9572 | − | 1.43302i | −0.998216 | − | 0.0597090i | ||||
\(577\) | −34.6492 | −1.44247 | −0.721233 | − | 0.692692i | \(-0.756424\pi\) | ||||
−0.721233 | + | 0.692692i | \(0.756424\pi\) | |||||||
\(578\) | −3.93970 | − | 20.6494i | −0.163870 | − | 0.858904i | ||||
\(579\) | −1.21152 | + | 1.78830i | −0.0503490 | + | 0.0743192i | ||||
\(580\) | −14.9720 | + | 34.6037i | −0.621680 | + | 1.43684i | ||||
\(581\) | −24.9917 | + | 16.6989i | −1.03683 | + | 0.692787i | ||||
\(582\) | −33.0949 | − | 14.2631i | −1.37183 | − | 0.591223i | ||||
\(583\) | −2.77850 | + | 6.70790i | −0.115074 | + | 0.277813i | ||||
\(584\) | 10.9179 | − | 15.5375i | 0.451787 | − | 0.642945i | ||||
\(585\) | 10.2745 | − | 4.10266i | 0.424798 | − | 0.169624i | ||||
\(586\) | −10.9807 | − | 11.1539i | −0.453608 | − | 0.460763i | ||||
\(587\) | 6.16441 | − | 30.9906i | 0.254433 | − | 1.27912i | −0.616358 | − | 0.787466i | \(-0.711393\pi\) |
0.870791 | − | 0.491653i | \(-0.163607\pi\) | |||||||
\(588\) | −2.04464 | + | 1.30192i | −0.0843196 | + | 0.0536902i | ||||
\(589\) | −10.1551 | + | 15.1982i | −0.418434 | + | 0.626231i | ||||
\(590\) | 32.9071 | + | 6.81375i | 1.35476 | + | 0.280518i | ||||
\(591\) | 0.283691 | − | 44.3548i | 0.0116695 | − | 1.82451i | ||||
\(592\) | 8.26352 | − | 35.6698i | 0.339628 | − | 1.46602i | ||||
\(593\) | −24.2435 | − | 24.2435i | −0.995560 | − | 0.995560i | 0.00442987 | − | 0.999990i | \(-0.498590\pi\) |
−0.999990 | + | 0.00442987i | \(0.998590\pi\) | |||||||
\(594\) | −1.95657 | + | 8.61345i | −0.0802790 | + | 0.353414i | ||||
\(595\) | 4.78509 | − | 7.16139i | 0.196170 | − | 0.293589i | ||||
\(596\) | −4.63248 | − | 25.3569i | −0.189754 | − | 1.03866i | ||||
\(597\) | 12.6342 | + | 19.1728i | 0.517085 | + | 0.784691i | ||||
\(598\) | 10.6058 | + | 0.0829966i | 0.433701 | + | 0.00339398i | ||||
\(599\) | −16.7674 | − | 40.4801i | −0.685098 | − | 1.65397i | −0.754432 | − | 0.656379i | \(-0.772087\pi\) |
0.0693338 | − | 0.997594i | \(-0.477913\pi\) | |||||||
\(600\) | 2.29800 | + | 1.03332i | 0.0938156 | + | 0.0421851i | ||||
\(601\) | −16.5605 | + | 39.9806i | −0.675518 | + | 1.63084i | 0.0965691 | + | 0.995326i | \(0.469213\pi\) |
−0.772087 | + | 0.635517i | \(0.780787\pi\) | |||||||
\(602\) | 30.9675 | + | 13.1120i | 1.26214 | + | 0.534404i | ||||
\(603\) | 34.0432 | − | 22.1223i | 1.38635 | − | 0.900891i | ||||
\(604\) | −9.57333 | + | 9.27826i | −0.389533 | + | 0.377527i | ||||
\(605\) | 22.0069 | − | 4.37745i | 0.894708 | − | 0.177969i | ||||
\(606\) | −5.94593 | + | 1.09506i | −0.241537 | + | 0.0444836i | ||||
\(607\) | 1.82958 | 0.0742602 | 0.0371301 | − | 0.999310i | \(-0.488178\pi\) | ||||
0.0371301 | + | 0.999310i | \(0.488178\pi\) | |||||||
\(608\) | −3.36469 | − | 9.11638i | −0.136456 | − | 0.369718i | ||||
\(609\) | 24.5211 | + | 24.8367i | 0.993643 | + | 1.00644i | ||||
\(610\) | 16.5511 | − | 24.3557i | 0.670135 | − | 0.986134i | ||||
\(611\) | −0.745462 | − | 3.74769i | −0.0301582 | − | 0.151615i | ||||
\(612\) | −0.249338 | + | 8.76398i | −0.0100789 | + | 0.354263i | ||||
\(613\) | −29.3867 | + | 19.6356i | −1.18692 | + | 0.793073i | −0.982582 | − | 0.185828i | \(-0.940503\pi\) |
−0.204335 | + | 0.978901i | \(0.565503\pi\) | |||||||
\(614\) | 21.6049 | + | 9.14779i | 0.871905 | + | 0.369175i | ||||
\(615\) | −13.9912 | − | 34.3984i | −0.564180 | − | 1.38708i | ||||
\(616\) | −8.53120 | − | 0.200318i | −0.343732 | − | 0.00807106i | ||||
\(617\) | −11.2119 | + | 4.64412i | −0.451374 | + | 0.186965i | −0.596777 | − | 0.802407i | \(-0.703552\pi\) |
0.145403 | + | 0.989373i | \(0.453552\pi\) | |||||||
\(618\) | 2.32346 | − | 2.25830i | 0.0934633 | − | 0.0908421i | ||||
\(619\) | −0.872524 | + | 4.38647i | −0.0350697 | + | 0.176307i | −0.994350 | − | 0.106147i | \(-0.966149\pi\) |
0.959281 | + | 0.282454i | \(0.0911486\pi\) | |||||||
\(620\) | −28.4109 | + | 41.1121i | −1.14101 | + | 1.65110i | ||||
\(621\) | −4.37321 | − | 24.4260i | −0.175491 | − | 0.980181i | ||||
\(622\) | −13.6011 | + | 8.93480i | −0.545354 | + | 0.358253i | ||||
\(623\) | −1.86736 | + | 1.86736i | −0.0748141 | + | 0.0748141i | ||||
\(624\) | −9.88797 | − | 4.53958i | −0.395836 | − | 0.181729i | ||||
\(625\) | 19.3090 | + | 19.3090i | 0.772361 | + | 0.772361i | ||||
\(626\) | −27.6900 | − | 5.73349i | −1.10671 | − | 0.229156i | ||||
\(627\) | −3.51206 | + | 0.675270i | −0.140258 | + | 0.0269677i | ||||
\(628\) | 7.62598 | + | 11.8091i | 0.304310 | + | 0.471234i | ||||
\(629\) | −13.1187 | − | 2.60948i | −0.523079 | − | 0.104047i | ||||
\(630\) | 18.0434 | − | 17.3143i | 0.718866 | − | 0.689819i | ||||
\(631\) | 7.95138 | + | 19.1963i | 0.316540 | + | 0.764194i | 0.999433 | + | 0.0336760i | \(0.0107214\pi\) |
−0.682893 | + | 0.730518i | \(0.739279\pi\) | |||||||
\(632\) | 0.941055 | − | 4.21173i | 0.0374331 | − | 0.167534i | ||||
\(633\) | 0.0974878 | + | 0.239681i | 0.00387479 | + | 0.00952646i | ||||
\(634\) | 4.84114 | + | 11.9512i | 0.192266 | + | 0.474643i | ||||
\(635\) | −11.8153 | − | 17.6828i | −0.468874 | − | 0.701720i | ||||
\(636\) | −8.43171 | + | 19.1506i | −0.334339 | + | 0.759369i | ||||
\(637\) | −1.07777 | + | 0.214382i | −0.0427028 | + | 0.00849411i | ||||
\(638\) | −2.55753 | − | 13.4050i | −0.101254 | − | 0.530708i | ||||
\(639\) | −0.193207 | + | 15.1032i | −0.00764313 | + | 0.597473i | ||||
\(640\) | −8.80783 | − | 25.0650i | −0.348160 | − | 0.990782i | ||||
\(641\) | 29.4658i | 1.16383i | 0.813251 | + | 0.581914i | \(0.197696\pi\) | ||||
−0.813251 | + | 0.581914i | \(0.802304\pi\) | |||||||
\(642\) | 15.5614 | − | 22.5872i | 0.614158 | − | 0.891444i | ||||
\(643\) | −2.09949 | − | 10.5549i | −0.0827960 | − | 0.416243i | −0.999847 | − | 0.0174743i | \(-0.994437\pi\) |
0.917051 | − | 0.398769i | \(-0.130563\pi\) | |||||||
\(644\) | 22.2895 | − | 8.82650i | 0.878329 | − | 0.347813i | ||||
\(645\) | 37.7431 | + | 7.75885i | 1.48613 | + | 0.305504i | ||||
\(646\) | −3.29024 | + | 1.33279i | −0.129453 | + | 0.0524381i | ||||
\(647\) | 5.51840 | + | 2.28580i | 0.216951 | + | 0.0898640i | 0.488512 | − | 0.872557i | \(-0.337540\pi\) |
−0.271561 | + | 0.962421i | \(0.587540\pi\) | |||||||
\(648\) | −6.18459 | + | 24.6931i | −0.242953 | + | 0.970038i | ||||
\(649\) | −11.2374 | + | 4.65468i | −0.441106 | + | 0.182712i | ||||
\(650\) | 0.801355 | + | 0.813996i | 0.0314317 | + | 0.0319276i | ||||
\(651\) | 25.4542 | + | 38.6275i | 0.997629 | + | 1.51393i | ||||
\(652\) | 25.8738 | − | 16.7086i | 1.01330 | − | 0.654359i | ||||
\(653\) | 37.0877 | + | 24.7812i | 1.45135 | + | 0.969763i | 0.996874 | + | 0.0790062i | \(0.0251747\pi\) |
0.454479 | + | 0.890757i | \(0.349825\pi\) | |||||||
\(654\) | 32.0855 | − | 20.7850i | 1.25464 | − | 0.812757i | ||||
\(655\) | 7.81916 | − | 7.81916i | 0.305520 | − | 0.305520i | ||||
\(656\) | −15.0249 | + | 33.2866i | −0.586624 | + | 1.29962i | ||||
\(657\) | −14.0590 | − | 14.4234i | −0.548495 | − | 0.562710i | ||||
\(658\) | −4.74215 | − | 7.21878i | −0.184868 | − | 0.281417i | ||||
\(659\) | −35.1461 | − | 23.4839i | −1.36910 | − | 0.914803i | −0.369205 | − | 0.929348i | \(-0.620370\pi\) |
−0.999894 | + | 0.0145456i | \(0.995370\pi\) | |||||||
\(660\) | −9.62966 | + | 1.69568i | −0.374834 | + | 0.0660044i | ||||
\(661\) | −6.62668 | − | 1.31813i | −0.257748 | − | 0.0512692i | 0.0645249 | − | 0.997916i | \(-0.479447\pi\) |
−0.322273 | + | 0.946647i | \(0.604447\pi\) | |||||||
\(662\) | −12.1440 | − | 0.0950345i | −0.471991 | − | 0.00369362i | ||||
\(663\) | −1.54451 | + | 3.66234i | −0.0599837 | + | 0.142234i | ||||
\(664\) | 33.8606 | + | 0.795071i | 1.31405 | + | 0.0308547i | ||||
\(665\) | 9.35448 | + | 3.87475i | 0.362751 | + | 0.150256i | ||||
\(666\) | −35.5653 | − | 15.5982i | −1.37813 | − | 0.604418i | ||||
\(667\) | 21.2995 | + | 31.8770i | 0.824722 | + | 1.23428i | ||||
\(668\) | 0.266188 | − | 17.0064i | 0.0102991 | − | 0.657997i | ||||
\(669\) | 7.76158 | − | 11.4567i | 0.300080 | − | 0.442942i | ||||
\(670\) | 37.1723 | + | 25.2607i | 1.43609 | + | 0.975905i | ||||
\(671\) | 10.6583i | 0.411460i | ||||||||
\(672\) | −24.5677 | − | 1.11917i | −0.947720 | − | 0.0431731i | ||||
\(673\) | − | 29.3247i | − | 1.13039i | −0.824959 | − | 0.565193i | \(-0.808802\pi\) | ||
0.824959 | − | 0.565193i | \(-0.191198\pi\) | |||||||
\(674\) | 1.09762 | − | 1.61520i | 0.0422789 | − | 0.0622153i | ||||
\(675\) | 1.52711 | − | 2.19319i | 0.0587785 | − | 0.0844159i | ||||
\(676\) | 14.6620 | + | 15.1283i | 0.563924 | + | 0.581858i | ||||
\(677\) | 12.2948 | + | 18.4004i | 0.472526 | + | 0.707186i | 0.988801 | − | 0.149237i | \(-0.0476818\pi\) |
−0.516275 | + | 0.856423i | \(0.672682\pi\) | |||||||
\(678\) | 11.9675 | + | 30.0957i | 0.459610 | + | 1.15582i | ||||
\(679\) | −34.1173 | − | 14.1319i | −1.30930 | − | 0.542331i | ||||
\(680\) | −9.05141 | + | 3.50262i | −0.347106 | + | 0.134319i | ||||
\(681\) | 9.30817 | + | 3.92550i | 0.356690 | + | 0.150426i | ||||
\(682\) | 0.141544 | − | 18.0873i | 0.00542001 | − | 0.692598i | ||||
\(683\) | 24.1315 | + | 4.80006i | 0.923368 | + | 0.183669i | 0.633808 | − | 0.773491i | \(-0.281491\pi\) |
0.289560 | + | 0.957160i | \(0.406491\pi\) | |||||||
\(684\) | −10.1620 | + | 1.72249i | −0.388554 | + | 0.0658610i | ||||
\(685\) | 1.22815 | + | 0.820622i | 0.0469251 | + | 0.0313544i | ||||
\(686\) | −22.8438 | + | 15.0065i | −0.872180 | + | 0.572951i | ||||
\(687\) | 0.0511160 | − | 7.99193i | 0.00195020 | − | 0.304911i | ||||
\(688\) | −20.0568 | − | 32.1518i | −0.764657 | − | 1.22578i | ||||
\(689\) | −6.70763 | + | 6.70763i | −0.255540 | + | 0.255540i | ||||
\(690\) | 23.0544 | − | 14.9346i | 0.877665 | − | 0.568552i | ||||
\(691\) | 12.3607 | + | 8.25914i | 0.470222 | + | 0.314193i | 0.768008 | − | 0.640440i | \(-0.221248\pi\) |
−0.297786 | + | 0.954633i | \(0.596248\pi\) | |||||||
\(692\) | −3.48162 | + | 16.1759i | −0.132351 | + | 0.614917i | ||||
\(693\) | −1.87921 | + | 8.85396i | −0.0713852 | + | 0.336334i | ||||
\(694\) | 25.2236 | − | 24.8319i | 0.957475 | − | 0.942606i | ||||
\(695\) | −30.3045 | + | 12.5525i | −1.14951 | + | 0.476145i | ||||
\(696\) | −6.51722 | − | 38.7855i | −0.247035 | − | 1.47016i | ||||
\(697\) | 12.3259 | + | 5.10555i | 0.466876 | + | 0.193386i | ||||
\(698\) | −6.89571 | − | 17.0233i | −0.261006 | − | 0.644341i | ||||
\(699\) | −4.53406 | + | 22.0561i | −0.171494 | + | 0.834236i | ||||
\(700\) | 2.36962 | + | 1.02527i | 0.0895633 | + | 0.0387514i | ||||
\(701\) | −4.24681 | − | 21.3502i | −0.160400 | − | 0.806384i | −0.974278 | − | 0.225349i | \(-0.927648\pi\) |
0.813878 | − | 0.581035i | \(-0.197352\pi\) | |||||||
\(702\) | −6.66824 | + | 9.41869i | −0.251677 | + | 0.355486i | ||||
\(703\) | − | 15.7243i | − | 0.593053i | ||||||
\(704\) | 7.73587 | + | 5.71175i | 0.291556 | + | 0.215270i | ||||
\(705\) | −6.95293 | − | 7.04244i | −0.261862 | − | 0.265234i | ||||
\(706\) | −19.3769 | + | 3.69691i | −0.729259 | + | 0.139135i | ||||
\(707\) | −6.07632 | + | 1.20865i | −0.228523 | + | 0.0454561i | ||||
\(708\) | −32.6734 | + | 12.6973i | −1.22794 | + | 0.477194i | ||||
\(709\) | −14.2542 | − | 21.3329i | −0.535327 | − | 0.801173i | 0.460946 | − | 0.887428i | \(-0.347510\pi\) |
−0.996273 | + | 0.0862550i | \(0.972510\pi\) | |||||||
\(710\) | −15.4971 | + | 6.27750i | −0.581597 | + | 0.235590i | ||||
\(711\) | −4.20618 | − | 1.80563i | −0.157744 | − | 0.0677165i | ||||
\(712\) | 2.93147 | − | 0.511883i | 0.109862 | − | 0.0191836i | ||||
\(713\) | 19.4459 | + | 46.9466i | 0.728255 | + | 1.75816i | ||||
\(714\) | −0.127763 | + | 8.98332i | −0.00478143 | + | 0.336192i | ||||
\(715\) | −4.34754 | − | 0.864779i | −0.162589 | − | 0.0323409i | ||||
\(716\) | 6.29163 | − | 29.2315i | 0.235129 | − | 1.09243i | ||||
\(717\) | −1.04587 | − | 5.43956i | −0.0390589 | − | 0.203144i | ||||
\(718\) | −6.27169 | + | 30.2892i | −0.234057 | + | 1.13038i | ||||
\(719\) | −27.3781 | − | 27.3781i | −1.02103 | − | 1.02103i | −0.999774 | − | 0.0212567i | \(-0.993233\pi\) |
−0.0212567 | − | 0.999774i | \(-0.506767\pi\) | |||||||
\(720\) | −27.8531 | + | 4.27388i | −1.03802 | + | 0.159278i | ||||
\(721\) | 2.34774 | − | 2.34774i | 0.0874344 | − | 0.0874344i | ||||
\(722\) | 12.4616 | + | 18.9698i | 0.463773 | + | 0.705983i | ||||
\(723\) | 33.8112 | − | 6.50094i | 1.25745 | − | 0.241773i | ||||
\(724\) | 1.21496 | + | 6.65032i | 0.0451535 | + | 0.247157i | ||||
\(725\) | −0.805523 | + | 4.04964i | −0.0299164 | + | 0.150400i | ||||
\(726\) | −16.7838 | + | 16.3130i | −0.622904 | + | 0.605434i | ||||
\(727\) | 22.8227 | − | 9.45345i | 0.846446 | − | 0.350609i | 0.0830539 | − | 0.996545i | \(-0.473533\pi\) |
0.763392 | + | 0.645936i | \(0.223533\pi\) | |||||||
\(728\) | −10.1975 | − | 4.50722i | −0.377944 | − | 0.167049i | ||||
\(729\) | 24.5300 | + | 11.2819i | 0.908517 | + | 0.417847i | ||||
\(730\) | 8.69345 | − | 20.5319i | 0.321759 | − | 0.759920i | ||||
\(731\) | −11.5104 | + | 7.69102i | −0.425728 | + | 0.284463i | ||||
\(732\) | −0.677149 | + | 30.7092i | −0.0250282 | + | 1.13505i | ||||
\(733\) | 1.23098 | + | 6.18853i | 0.0454671 | + | 0.228579i | 0.996837 | − | 0.0794719i | \(-0.0253234\pi\) |
−0.951370 | + | 0.308051i | \(0.900323\pi\) | |||||||
\(734\) | 10.7707 | + | 7.31928i | 0.397552 | + | 0.270160i | ||||
\(735\) | −2.02528 | + | 1.99954i | −0.0747036 | + | 0.0737541i | ||||
\(736\) | −26.2690 | − | 6.30266i | −0.968287 | − | 0.232319i | ||||
\(737\) | −16.2670 | −0.599202 | ||||||||
\(738\) | 31.7572 | + | 22.1799i | 1.16900 | + | 0.816453i | ||||
\(739\) | 47.1383 | − | 9.37640i | 1.73401 | − | 0.344916i | 0.775801 | − | 0.630978i | \(-0.217346\pi\) |
0.958211 | + | 0.286062i | \(0.0923462\pi\) | |||||||
\(740\) | 0.672807 | − | 42.9848i | 0.0247329 | − | 1.58015i | ||||
\(741\) | −4.57688 | − | 0.940869i | −0.168136 | − | 0.0345637i | ||||
\(742\) | −8.36017 | + | 19.7448i | −0.306911 | + | 0.724853i | ||||
\(743\) | −16.7011 | + | 40.3199i | −0.612702 | + | 1.47919i | 0.247318 | + | 0.968934i | \(0.420451\pi\) |
−0.860020 | + | 0.510260i | \(0.829549\pi\) | |||||||
\(744\) | 1.55695 | − | 52.1049i | 0.0570807 | − | 1.91026i | ||||
\(745\) | −11.5819 | − | 27.9612i | −0.424328 | − | 1.02442i | ||||
\(746\) | 0.251326 | − | 32.1158i | 0.00920169 | − | 1.17584i | ||||
\(747\) | 7.45864 | − | 35.1417i | 0.272897 | − | 1.28577i | ||||
\(748\) | 1.99711 | − | 2.88994i | 0.0730217 | − | 0.105667i | ||||
\(749\) | 15.6152 | − | 23.3699i | 0.570568 | − | 0.853916i | ||||
\(750\) | −25.2319 | − | 5.39305i | −0.921338 | − | 0.196926i | ||||
\(751\) | −34.1193 | − | 34.1193i | −1.24503 | − | 1.24503i | −0.957888 | − | 0.287142i | \(-0.907295\pi\) |
−0.287142 | − | 0.957888i | \(-0.592705\pi\) | |||||||
\(752\) | −0.304601 | + | 9.72789i | −0.0111076 | + | 0.354740i | ||||
\(753\) | −30.0267 | − | 0.192049i | −1.09423 | − | 0.00699866i | ||||
\(754\) | 3.61513 | − | 17.4593i | 0.131655 | − | 0.635830i | ||||
\(755\) | −8.69643 | + | 13.0151i | −0.316495 | + | 0.473669i | ||||
\(756\) | −5.97697 | + | 25.3910i | −0.217380 | + | 0.923463i | ||||
\(757\) | 3.03692 | − | 15.2676i | 0.110379 | − | 0.554911i | −0.885533 | − | 0.464577i | \(-0.846206\pi\) |
0.995912 | − | 0.0903342i | \(-0.0287935\pi\) | |||||||
\(758\) | −3.09813 | + | 3.05002i | −0.112529 | + | 0.110782i | ||||
\(759\) | −3.86343 | + | 9.16098i | −0.140234 | + | 0.332523i | ||||
\(760\) | −6.11439 | − | 9.63291i | −0.221792 | − | 0.349422i | ||||
\(761\) | 3.66467 | − | 8.84731i | 0.132844 | − | 0.320715i | −0.843434 | − | 0.537232i | \(-0.819470\pi\) |
0.976279 | + | 0.216518i | \(0.0694699\pi\) | |||||||
\(762\) | 20.3723 | + | 8.77993i | 0.738009 | + | 0.318063i | ||||
\(763\) | 32.5723 | − | 21.7641i | 1.17920 | − | 0.787914i | ||||
\(764\) | −20.9230 | + | 8.28540i | −0.756969 | + | 0.299755i | ||||
\(765\) | 1.87899 | + | 10.1213i | 0.0679350 | + | 0.365935i | ||||
\(766\) | 10.9007 | − | 2.07975i | 0.393859 | − | 0.0751443i | ||||
\(767\) | −15.8914 | −0.573806 | ||||||||
\(768\) | 21.9260 | + | 16.9484i | 0.791187 | + | 0.611574i | ||||
\(769\) | 24.1637 | 0.871364 | 0.435682 | − | 0.900101i | \(-0.356507\pi\) | ||||
0.435682 | + | 0.900101i | \(0.356507\pi\) | |||||||
\(770\) | −9.84196 | + | 1.87775i | −0.354680 | + | 0.0676693i | ||||
\(771\) | −38.8225 | − | 26.3011i | −1.39816 | − | 0.947210i | ||||
\(772\) | 2.31900 | − | 0.918310i | 0.0834626 | − | 0.0330507i | ||||
\(773\) | 38.6703 | − | 25.8387i | 1.39087 | − | 0.929353i | 0.390915 | − | 0.920427i | \(-0.372159\pi\) |
0.999960 | − | 0.00892601i | \(-0.00284127\pi\) | |||||||
\(774\) | −37.4431 | + | 14.6126i | −1.34586 | + | 0.525237i | ||||
\(775\) | −2.09430 | + | 5.05608i | −0.0752294 | + | 0.181620i | ||||
\(776\) | 22.3002 | + | 35.1328i | 0.800529 | + | 1.26119i | ||||
\(777\) | −36.6680 | − | 15.4639i | −1.31546 | − | 0.554763i | ||||
\(778\) | −17.9856 | + | 17.7063i | −0.644814 | + | 0.634800i | ||||
\(779\) | −3.05979 | + | 15.3826i | −0.109628 | + | 0.551139i | ||||
\(780\) | −12.4714 | − | 2.76785i | −0.446546 | − | 0.0991048i | ||||
\(781\) | 3.36223 | − | 5.03193i | 0.120310 | − | 0.180057i | ||||
\(782\) | −2.00098 | + | 9.66377i | −0.0715550 | + | 0.345576i | ||||
\(783\) | −41.7073 | − | 0.800361i | −1.49050 | − | 0.0286026i | ||||
\(784\) | 2.79757 | + | 0.0875977i | 0.0999132 | + | 0.00312849i | ||||
\(785\) | 11.6709 | + | 11.6709i | 0.416553 | + | 0.416553i | ||||
\(786\) | −2.41095 | + | 11.2799i | −0.0859959 | + | 0.402340i | ||||
\(787\) | −6.25202 | + | 9.35682i | −0.222861 | + | 0.333534i | −0.926004 | − | 0.377514i | \(-0.876779\pi\) |
0.703143 | + | 0.711048i | \(0.251779\pi\) | |||||||
\(788\) | −29.1180 | + | 42.1353i | −1.03728 | + | 1.50101i | ||||
\(789\) | −21.0420 | + | 13.8660i | −0.749114 | + | 0.493641i | ||||
\(790\) | 0.0396516 | − | 5.06690i | 0.00141074 | − | 0.180272i | ||||
\(791\) | 12.7006 | + | 30.6621i | 0.451583 | + | 1.09022i | ||||
\(792\) | 7.46878 | − | 6.94576i | 0.265392 | − | 0.246807i | ||||
\(793\) | −5.32895 | + | 12.8652i | −0.189236 | + | 0.456857i | ||||
\(794\) | −0.0881316 | + | 0.208146i | −0.00312767 | + | 0.00738684i | ||||
\(795\) | −4.94702 | + | 24.0649i | −0.175453 | + | 0.853495i | ||||
\(796\) | 0.414942 | − | 26.5102i | 0.0147072 | − | 0.939628i | ||||
\(797\) | 19.7450 | − | 3.92753i | 0.699404 | − | 0.139120i | 0.167434 | − | 0.985883i | \(-0.446452\pi\) |
0.531970 | + | 0.846763i | \(0.321452\pi\) | |||||||
\(798\) | −10.3870 | + | 1.91297i | −0.367697 | + | 0.0677183i | ||||
\(799\) | 3.55547 | 0.125784 | ||||||||
\(800\) | −1.52052 | − | 2.48048i | −0.0537587 | − | 0.0876981i | ||||
\(801\) | 0.0403740 | − | 3.15609i | 0.00142655 | − | 0.111515i | ||||
\(802\) | 14.5606 | + | 9.89473i | 0.514151 | + | 0.349395i | ||||
\(803\) | 1.57441 | + | 7.91508i | 0.0555597 | + | 0.279317i | ||||
\(804\) | −46.8691 | − | 1.03348i | −1.65295 | − | 0.0364481i | ||||
\(805\) | 23.4042 | − | 15.6382i | 0.824889 | − | 0.551173i | ||||
\(806\) | 9.21413 | − | 21.7616i | 0.324554 | − | 0.766521i | ||||
\(807\) | 5.22804 | − | 2.12645i | 0.184036 | − | 0.0748546i | ||||
\(808\) | 6.38533 | + | 2.82227i | 0.224635 | + | 0.0992871i | ||||
\(809\) | −3.66283 | + | 1.51719i | −0.128778 | + | 0.0533417i | −0.446142 | − | 0.894962i | \(-0.647202\pi\) |
0.317364 | + | 0.948304i | \(0.397202\pi\) | |||||||
\(810\) | −0.998356 | + | 29.8718i | −0.0350786 | + | 1.04959i | ||||
\(811\) | 3.27646 | − | 16.4719i | 0.115052 | − | 0.578406i | −0.879651 | − | 0.475619i | \(-0.842224\pi\) |
0.994703 | − | 0.102787i | \(-0.0327759\pi\) | |||||||
\(812\) | −7.24282 | − | 39.6451i | −0.254173 | − | 1.39127i | ||||
\(813\) | 4.79024 | + | 24.9139i | 0.168001 | + | 0.873769i | ||||
\(814\) | 8.54323 | + | 13.0050i | 0.299440 | + | 0.455825i | ||||
\(815\) | 25.5711 | − | 25.5711i | 0.895717 | − | 0.895717i | ||||
\(816\) | 5.93778 | − | 8.19973i | 0.207864 | − | 0.287048i | ||||
\(817\) | −11.5076 | − | 11.5076i | −0.402598 | − | 0.402598i | ||||
\(818\) | 9.57566 | − | 46.2458i | 0.334805 | − | 1.61694i | ||||
\(819\) | −6.69512 | + | 9.74768i | −0.233946 | + | 0.340612i | ||||
\(820\) | −9.02259 | + | 41.9198i | −0.315083 | + | 1.46390i | ||||
\(821\) | 28.2601 | + | 5.62129i | 0.986286 | + | 0.196184i | 0.661779 | − | 0.749699i | \(-0.269802\pi\) |
0.324507 | + | 0.945883i | \(0.394802\pi\) | |||||||
\(822\) | −1.54060 | − | 0.0219109i | −0.0537346 | − | 0.000764229i | ||||
\(823\) | −0.897647 | − | 2.16711i | −0.0312900 | − | 0.0755407i | 0.907462 | − | 0.420134i | \(-0.138017\pi\) |
−0.938752 | + | 0.344593i | \(0.888017\pi\) | |||||||
\(824\) | −3.68560 | + | 0.643566i | −0.128394 | + | 0.0224197i | ||||
\(825\) | −0.991868 | + | 0.403432i | −0.0345324 | + | 0.0140457i | ||||
\(826\) | −33.2925 | + | 13.4860i | −1.15839 | + | 0.469237i | ||||
\(827\) | 25.8125 | + | 38.6311i | 0.897587 | + | 1.34333i | 0.938901 | + | 0.344188i | \(0.111846\pi\) |
−0.0413138 | + | 0.999146i | \(0.513154\pi\) | |||||||
\(828\) | −11.7135 | + | 26.1496i | −0.407072 | + | 0.908760i | ||||
\(829\) | −33.6164 | + | 6.68672i | −1.16755 | + | 0.232239i | −0.740542 | − | 0.672010i | \(-0.765431\pi\) |
−0.427004 | + | 0.904250i | \(0.640431\pi\) | |||||||
\(830\) | 39.0631 | − | 7.45284i | 1.35590 | − | 0.258692i | ||||
\(831\) | −4.01740 | + | 3.96634i | −0.139362 | + | 0.137591i | ||||
\(832\) | 6.48188 | + | 10.7622i | 0.224719 | + | 0.373112i | ||||
\(833\) | − | 1.02249i | − | 0.0354272i | ||||||
\(834\) | 19.4117 | − | 28.1758i | 0.672172 | − | 0.975650i | ||||
\(835\) | −3.89599 | − | 19.5864i | −0.134826 | − | 0.677817i | ||||
\(836\) | 3.79011 | + | 1.63987i | 0.131084 | + | 0.0567161i | ||||
\(837\) | −54.0109 | − | 11.8250i | −1.86689 | − | 0.408733i | ||||
\(838\) | 7.18891 | + | 17.7471i | 0.248337 | + | 0.613064i | ||||
\(839\) | 8.61670 | + | 3.56916i | 0.297482 | + | 0.123221i | 0.526432 | − | 0.850217i | \(-0.323529\pi\) |
−0.228951 | + | 0.973438i | \(0.573529\pi\) | |||||||
\(840\) | −28.4764 | + | 4.78496i | −0.982528 | + | 0.165097i | ||||
\(841\) | 32.7510 | − | 13.5659i | 1.12935 | − | 0.467791i | ||||
\(842\) | 7.79850 | − | 7.67739i | 0.268754 | − | 0.264580i | ||||
\(843\) | 2.12700 | − | 1.40162i | 0.0732577 | − | 0.0482744i | ||||
\(844\) | 0.0628674 | − | 0.292088i | 0.00216399 | − | 0.0100541i | ||||
\(845\) | 20.5672 | + | 13.7426i | 0.707534 | + | 0.472759i | ||||
\(846\) | 10.0810 | + | 2.22223i | 0.346593 | + | 0.0764017i | ||||
\(847\) | −16.9591 | + | 16.9591i | −0.582723 | + | 0.582723i | ||||
\(848\) | 20.4999 | − | 12.7882i | 0.703970 | − | 0.439147i | ||||
\(849\) | 28.9226 | + | 0.184988i | 0.992622 | + | 0.00634877i | ||||
\(850\) | −0.888324 | + | 0.583556i | −0.0304693 | + | 0.0200158i | ||||
\(851\) | −36.3463 | − | 24.2858i | −1.24594 | − | 0.832508i | ||||
\(852\) | 10.0071 | − | 14.2846i | 0.342837 | − | 0.489382i | ||||
\(853\) | 0.182640 | + | 0.0363293i | 0.00625347 | + | 0.00124389i | 0.198216 | − | 0.980158i | \(-0.436485\pi\) |
−0.191963 | + | 0.981402i | \(0.561485\pi\) | |||||||
\(854\) | −0.246311 | + | 31.4749i | −0.00842858 | + | 1.07705i | ||||
\(855\) | −11.2388 | + | 4.48773i | −0.384360 | + | 0.153477i | ||||
\(856\) | −29.5376 | + | 11.4301i | −1.00957 | + | 0.390674i | ||||
\(857\) | −49.1194 | − | 20.3459i | −1.67789 | − | 0.695004i | −0.678666 | − | 0.734447i | \(-0.737442\pi\) |
−0.999222 | + | 0.0394426i | \(0.987442\pi\) | |||||||
\(858\) | 4.29656 | − | 1.70852i | 0.146682 | − | 0.0583280i | ||||
\(859\) | −4.87024 | − | 7.28882i | −0.166170 | − | 0.248691i | 0.739034 | − | 0.673668i | \(-0.235282\pi\) |
−0.905204 | + | 0.424977i | \(0.860282\pi\) | |||||||
\(860\) | −30.9653 | − | 31.9501i | −1.05591 | − | 1.08949i | ||||
\(861\) | 32.8620 | + | 22.2630i | 1.11993 | + | 0.758722i | ||||
\(862\) | −14.4088 | + | 21.2031i | −0.490764 | + | 0.722182i | ||||
\(863\) | − | 51.9214i | − | 1.76743i | −0.468030 | − | 0.883713i | \(-0.655036\pi\) | ||
0.468030 | − | 0.883713i | \(-0.344964\pi\) | |||||||
\(864\) | 21.9606 | − | 19.5379i | 0.747116 | − | 0.664693i | ||||
\(865\) | 19.4276i | 0.660558i | ||||||||
\(866\) | −18.3454 | − | 12.4667i | −0.623401 | − | 0.423637i | ||||
\(867\) | 21.3155 | + | 14.4406i | 0.723912 | + | 0.490429i | ||||
\(868\) | 0.835985 | − | 53.4100i | 0.0283752 | − | 1.81285i | ||||
\(869\) | 1.01892 | + | 1.52492i | 0.0345644 | + | 0.0517292i | ||||
\(870\) | −17.0629 | − | 42.9095i | −0.578487 | − | 1.45477i | ||||
\(871\) | −19.6352 | − | 8.13316i | −0.665313 | − | 0.275582i | ||||
\(872\) | −44.1315 | − | 1.03624i | −1.49448 | − | 0.0350914i | ||||
\(873\) | 40.9899 | − | 16.3675i | 1.38730 | − | 0.553955i | ||||
\(874\) | −11.6012 | − | 0.0907865i | −0.392416 | − | 0.00307090i | ||||
\(875\) | −25.9315 | − | 5.15810i | −0.876645 | − | 0.174375i | ||||
\(876\) | 4.03339 | + | 22.9053i | 0.136276 | + | 0.773898i | ||||
\(877\) | 31.0208 | + | 20.7274i | 1.04750 | + | 0.699916i | 0.955244 | − | 0.295820i | \(-0.0955929\pi\) |
0.0922539 | + | 0.995736i | \(0.470593\pi\) | |||||||
\(878\) | 13.8758 | + | 21.1226i | 0.468286 | + | 0.712853i | ||||
\(879\) | 19.1693 | + | 0.122606i | 0.646564 | + | 0.00413540i | ||||
\(880\) | 10.2907 | + | 4.64501i | 0.346899 | + | 0.156583i | ||||
\(881\) | 22.9077 | − | 22.9077i | 0.771779 | − | 0.771779i | −0.206639 | − | 0.978417i | \(-0.566252\pi\) |
0.978417 | + | 0.206639i | \(0.0662524\pi\) | |||||||
\(882\) | 0.639073 | − | 2.89912i | 0.0215187 | − | 0.0976186i | ||||
\(883\) | −6.54348 | − | 4.37222i | −0.220206 | − | 0.147137i | 0.440575 | − | 0.897716i | \(-0.354775\pi\) |
−0.660781 | + | 0.750579i | \(0.729775\pi\) | |||||||
\(884\) | 3.85554 | − | 2.48980i | 0.129676 | − | 0.0837412i | ||||
\(885\) | −34.3669 | + | 22.6467i | −1.15523 | + | 0.761259i | ||||
\(886\) | 17.2763 | + | 17.5488i | 0.580408 | + | 0.589563i | ||||
\(887\) | 45.3899 | − | 18.8011i | 1.52405 | − | 0.631280i | 0.545648 | − | 0.838014i | \(-0.316284\pi\) |
0.978397 | + | 0.206734i | \(0.0662836\pi\) | |||||||
\(888\) | 23.7889 | + | 38.0134i | 0.798302 | + | 1.27564i | ||||
\(889\) | 21.0016 | + | 8.69916i | 0.704372 | + | 0.291761i | ||||
\(890\) | 3.23841 | − | 1.31180i | 0.108552 | − | 0.0439716i | ||||
\(891\) | −5.77811 | − | 9.14566i | −0.193574 | − | 0.306391i | ||||
\(892\) | −14.8566 | + | 5.88314i | −0.497437 | + | 0.196982i | ||||
\(893\) | 0.815429 | + | 4.09944i | 0.0272873 | + | 0.137183i | ||||
\(894\) | 25.9972 | + | 17.9107i | 0.869475 | + | 0.599023i | ||||
\(895\) | − | 35.1075i | − | 1.17352i | ||||||
\(896\) | 22.7127 | + | 17.0461i | 0.758777 | + | 0.569469i | ||||
\(897\) | −9.24369 | + | 9.12620i | −0.308638 | + | 0.304715i | ||||
\(898\) | −6.83593 | − | 35.8296i | −0.228118 | − | 1.19565i | ||||
\(899\) | 83.7819 | − | 16.6653i | 2.79428 | − | 0.555817i | ||||
\(900\) | −2.88344 | + | 1.09937i | −0.0961147 | + | 0.0366457i | ||||
\(901\) | −4.90378 | − | 7.33902i | −0.163368 | − | 0.244498i | ||||
\(902\) | −5.82693 | − | 14.3848i | −0.194015 | − | 0.478962i | ||||
\(903\) | −38.1518 | + | 15.5178i | −1.26961 | + | 0.516402i | ||||
\(904\) | 8.15506 | − | 36.4983i | 0.271233 | − | 1.21392i | ||||
\(905\) | 3.03758 | + | 7.33336i | 0.100972 | + | 0.243769i | ||||
\(906\) | 0.232197 | − | 16.3263i | 0.00771424 | − | 0.542405i | ||||
\(907\) | 38.6536 | + | 7.68868i | 1.28347 | + | 0.255299i | 0.789269 | − | 0.614048i | \(-0.210460\pi\) |
0.494204 | + | 0.869346i | \(0.335460\pi\) | |||||||
\(908\) | −6.32806 | − | 9.79921i | −0.210004 | − | 0.325198i | ||||
\(909\) | 4.19226 | − | 6.10367i | 0.139048 | − | 0.202446i | ||||
\(910\) | −12.8187 | − | 2.65423i | −0.424934 | − | 0.0879870i | ||||
\(911\) | 8.16492 | + | 8.16492i | 0.270516 | + | 0.270516i | 0.829308 | − | 0.558792i | \(-0.188735\pi\) |
−0.558792 | + | 0.829308i | \(0.688735\pi\) | |||||||
\(912\) | 10.8160 | + | 4.96566i | 0.358155 | + | 0.164429i | ||||
\(913\) | −10.1779 | + | 10.1779i | −0.336840 | + | 0.336840i | ||||
\(914\) | −29.0184 | + | 19.0627i | −0.959844 | + | 0.630539i | ||||
\(915\) | 6.80962 | + | 35.4166i | 0.225119 | + | 1.17084i | ||||
\(916\) | −5.24653 | + | 7.59202i | −0.173350 | + | 0.250847i | ||||
\(917\) | −2.30592 | + | 11.5926i | −0.0761482 | + | 0.382823i | ||||
\(918\) | −7.38505 | − | 7.79521i | −0.243743 | − | 0.257280i | ||||
\(919\) | 13.4344 | − | 5.56469i | 0.443158 | − | 0.183562i | −0.149935 | − | 0.988696i | \(-0.547906\pi\) |
0.593093 | + | 0.805134i | \(0.297906\pi\) | |||||||
\(920\) | −31.7098 | − | 0.744567i | −1.04544 | − | 0.0245477i | ||||
\(921\) | −26.6172 | + | 10.8263i | −0.877067 | + | 0.356738i | ||||
\(922\) | −9.26489 | − | 3.92286i | −0.305123 | − | 0.129193i | ||||
\(923\) | 6.57427 | − | 4.39278i | 0.216395 | − | 0.144590i | ||||
\(924\) | 7.55139 | − | 7.22555i | 0.248423 | − | 0.237703i | ||||
\(925\) | −0.918460 | − | 4.61741i | −0.0301988 | − | 0.151820i | ||||
\(926\) | 15.7329 | − | 23.1517i | 0.517016 | − | 0.760813i | ||||
\(927\) | −0.0507603 | + | 3.96800i | −0.00166719 | + | 0.130326i | ||||
\(928\) | −19.0069 | + | 41.2446i | −0.623932 | + | 1.35392i | ||||
\(929\) | −33.4659 | −1.09798 | −0.548991 | − | 0.835828i | \(-0.684988\pi\) | ||||
−0.548991 | + | 0.835828i | \(0.684988\pi\) | |||||||
\(930\) | −11.0857 | − | 60.1929i | −0.363513 | − | 1.97380i | ||||
\(931\) | 1.17893 | − | 0.234503i | 0.0386378 | − | 0.00768553i | ||||
\(932\) | 18.6707 | − | 18.0953i | 0.611581 | − | 0.592731i | ||||
\(933\) | 4.01322 | − | 19.5224i | 0.131387 | − | 0.639135i | ||||
\(934\) | −13.8046 | − | 5.84501i | −0.451699 | − | 0.191255i | ||||
\(935\) | 1.57840 | − | 3.81059i | 0.0516192 | − | 0.124620i | ||||
\(936\) | 12.4880 | − | 4.64970i | 0.408183 | − | 0.151980i | ||||
\(937\) | −6.41572 | − | 15.4889i | −0.209593 | − | 0.506001i | 0.783767 | − | 0.621055i | \(-0.213296\pi\) |
−0.993359 | + | 0.115054i | \(0.963296\pi\) | |||||||
\(938\) | −48.0378 | − | 0.375925i | −1.56849 | − | 0.0122744i | ||||
\(939\) | 28.9184 | − | 19.0562i | 0.943715 | − | 0.621876i | ||||
\(940\) | 2.05370 | + | 11.2413i | 0.0669842 | + | 0.366652i | ||||
\(941\) | 16.4809 | − | 24.6654i | 0.537262 | − | 0.804070i | −0.459180 | − | 0.888343i | \(-0.651857\pi\) |
0.996443 | + | 0.0842731i | \(0.0268568\pi\) | |||||||
\(942\) | −16.8364 | − | 3.59860i | −0.548560 | − | 0.117249i | ||||
\(943\) | 30.8307 | + | 30.8307i | 1.00399 | + | 1.00399i | ||||
\(944\) | 39.4323 | + | 9.13518i | 1.28341 | + | 0.297325i | ||||
\(945\) | −0.587626 | + | 30.6216i | −0.0191155 | + | 0.996119i | ||||
\(946\) | 15.7697 | + | 3.26528i | 0.512717 | + | 0.106163i | ||||
\(947\) | 5.17227 | − | 7.74085i | 0.168076 | − | 0.251544i | −0.737864 | − | 0.674949i | \(-0.764165\pi\) |
0.905940 | + | 0.423405i | \(0.139165\pi\) | |||||||
\(948\) | 2.83886 | + | 4.45839i | 0.0922020 | + | 0.144802i | ||||
\(949\) | −2.05698 | + | 10.3411i | −0.0667724 | + | 0.335688i | ||||
\(950\) | −0.876569 | − | 0.890397i | −0.0284397 | − | 0.0288883i | ||||
\(951\) | −14.5514 | − | 6.13671i | −0.471861 | − | 0.198997i | ||||
\(952\) | 5.96443 | − | 8.48807i | 0.193308 | − | 0.275100i | ||||
\(953\) | −1.28519 | + | 3.10273i | −0.0416315 | + | 0.100507i | −0.943328 | − | 0.331863i | \(-0.892323\pi\) |
0.901696 | + | 0.432371i | \(0.142323\pi\) | |||||||
\(954\) | −9.31693 | − | 23.8736i | −0.301647 | − | 0.772938i | ||||
\(955\) | −21.9694 | + | 14.6795i | −0.710913 | + | 0.475017i | ||||
\(956\) | −2.53987 | + | 5.87020i | −0.0821451 | + | 0.189856i | ||||
\(957\) | 13.8374 | + | 9.37439i | 0.447298 | + | 0.303031i | ||||
\(958\) | −2.13244 | − | 11.1769i | −0.0688960 | − | 0.361110i | ||||
\(959\) | −1.57884 | −0.0509834 | ||||||||
\(960\) | 29.3548 | + | 14.0372i | 0.947423 | + | 0.453048i | ||||
\(961\) | 82.2226 | 2.65234 | ||||||||
\(962\) | 3.80993 | + | 19.9692i | 0.122837 | + | 0.643834i | ||||
\(963\) | 6.13173 | + | 33.0289i | 0.197592 | + | 1.06434i | ||||
\(964\) | −36.4880 | − | 15.7873i | −1.17520 | − | 0.508474i | ||||
\(965\) | 2.43497 | − | 1.62700i | 0.0783846 | − | 0.0523749i | ||||
\(966\) | −11.6207 | + | 26.9639i | −0.373891 | + | 0.867548i | ||||
\(967\) | −18.2767 | + | 44.1238i | −0.587739 | + | 1.41893i | 0.297921 | + | 0.954591i | \(0.403707\pi\) |
−0.885659 | + | 0.464336i | \(0.846293\pi\) | |||||||
\(968\) | 26.6233 | − | 4.64886i | 0.855706 | − | 0.149420i | ||||
\(969\) | 1.68947 | − | 4.00608i | 0.0542737 | − | 0.128694i | ||||
\(970\) | 34.2768 | + | 34.8176i | 1.10056 | + | 1.11792i | ||||
\(971\) | −1.30284 | + | 6.54979i | −0.0418100 | + | 0.210193i | −0.996043 | − | 0.0888706i | \(-0.971674\pi\) |
0.954233 | + | 0.299063i | \(0.0966742\pi\) | |||||||
\(972\) | −16.0671 | − | 26.7179i | −0.515352 | − | 0.856979i | ||||
\(973\) | 19.4789 | − | 29.1522i | 0.624464 | − | 0.934577i | ||||
\(974\) | −5.45312 | − | 1.12913i | −0.174729 | − | 0.0361795i | ||||
\(975\) | −1.39895 | − | 0.00894762i | −0.0448022 | − | 0.000286553i | ||||
\(976\) | 20.6186 | − | 28.8599i | 0.659985 | − | 0.923782i | ||||
\(977\) | 1.43150 | + | 1.43150i | 0.0457979 | + | 0.0457979i | 0.729635 | − | 0.683837i | \(-0.239690\pi\) |
−0.683837 | + | 0.729635i | \(0.739690\pi\) | |||||||
\(978\) | −7.88458 | + | 36.8888i | −0.252121 | + | 1.17957i | ||||
\(979\) | −0.702599 | + | 1.05151i | −0.0224551 | + | 0.0336065i | ||||
\(980\) | 3.23281 | − | 0.590607i | 0.103268 | − | 0.0188662i | ||||
\(981\) | −9.72105 | + | 45.8011i | −0.310369 | + | 1.46232i | ||||
\(982\) | −13.3754 | − | 0.104670i | −0.426825 | − | 0.00334017i | ||||
\(983\) | 20.2636 | + | 48.9206i | 0.646308 | + | 1.56033i | 0.818027 | + | 0.575180i | \(0.195068\pi\) |
−0.171719 | + | 0.985146i | \(0.554932\pi\) | |||||||
\(984\) | −15.8749 | − | 41.8163i | −0.506073 | − | 1.33306i | ||||
\(985\) | −23.0131 | + | 55.5585i | −0.733258 | + | 1.77024i | ||||
\(986\) | 15.2772 | + | 6.46853i | 0.486524 | + | 0.206000i | ||||
\(987\) | 10.3615 | + | 2.13002i | 0.329811 | + | 0.0677992i | ||||
\(988\) | 3.75498 | + | 3.87440i | 0.119462 | + | 0.123261i | ||||
\(989\) | −44.3726 | + | 8.82626i | −1.41097 | + | 0.280659i | ||||
\(990\) | 6.85700 | − | 9.81785i | 0.217930 | − | 0.312032i | ||||
\(991\) | 22.6111 | 0.718266 | 0.359133 | − | 0.933286i | \(-0.383072\pi\) | ||||
0.359133 | + | 0.933286i | \(0.383072\pi\) | |||||||
\(992\) | −35.3733 | + | 48.7017i | −1.12310 | + | 1.54628i | ||||
\(993\) | 10.5844 | − | 10.4499i | 0.335886 | − | 0.331617i | ||||
\(994\) | 10.0452 | − | 14.7820i | 0.318615 | − | 0.468857i | ||||
\(995\) | −6.07320 | − | 30.5320i | −0.192533 | − | 0.967930i | ||||
\(996\) | −29.9717 | + | 28.6785i | −0.949691 | + | 0.908712i | ||||
\(997\) | −28.2605 | + | 18.8831i | −0.895020 | + | 0.598033i | −0.915749 | − | 0.401752i | \(-0.868401\pi\) |
0.0207286 | + | 0.999785i | \(0.493401\pi\) | |||||||
\(998\) | 12.8953 | + | 5.46001i | 0.408193 | + | 0.172834i | ||||
\(999\) | 44.2841 | − | 17.3553i | 1.40109 | − | 0.549098i |
(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 | 192.2.s.a.11.29 | yes | 240 | |
3.2 | odd | 2 | inner | 192.2.s.a.11.2 | ✓ | 240 | |
4.3 | odd | 2 | 768.2.s.a.719.20 | 240 | |||
12.11 | even | 2 | 768.2.s.a.719.6 | 240 | |||
64.29 | even | 16 | 768.2.s.a.47.6 | 240 | |||
64.35 | odd | 16 | inner | 192.2.s.a.35.2 | yes | 240 | |
192.29 | odd | 16 | 768.2.s.a.47.20 | 240 | |||
192.35 | even | 16 | inner | 192.2.s.a.35.29 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
192.2.s.a.11.2 | ✓ | 240 | 3.2 | odd | 2 | inner | |
192.2.s.a.11.29 | yes | 240 | 1.1 | even | 1 | trivial | |
192.2.s.a.35.2 | yes | 240 | 64.35 | odd | 16 | inner | |
192.2.s.a.35.29 | yes | 240 | 192.35 | even | 16 | inner | |
768.2.s.a.47.6 | 240 | 64.29 | even | 16 | |||
768.2.s.a.47.20 | 240 | 192.29 | odd | 16 | |||
768.2.s.a.719.6 | 240 | 12.11 | even | 2 | |||
768.2.s.a.719.20 | 240 | 4.3 | odd | 2 |