Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(22,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 24]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.22");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.ba (of order \(21\), degree \(12\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 106.45 | ||
Character | \(\chi\) | \(=\) | 441.106 |
Dual form | 441.2.ba.a.337.45 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{6}{7}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.89026 | − | 0.284911i | 1.33661 | − | 0.201462i | 0.558458 | − | 0.829533i | \(-0.311393\pi\) |
0.778156 | + | 0.628071i | \(0.216155\pi\) | |||||||
\(3\) | 1.05095 | − | 1.37677i | 0.606769 | − | 0.794878i | ||||
\(4\) | 1.58076 | − | 0.487598i | 0.790378 | − | 0.243799i | ||||
\(5\) | −0.509493 | − | 0.347367i | −0.227852 | − | 0.155347i | 0.444013 | − | 0.896020i | \(-0.353554\pi\) |
−0.671866 | + | 0.740673i | \(0.734507\pi\) | |||||||
\(6\) | 1.59432 | − | 2.90188i | 0.650878 | − | 1.18469i | ||||
\(7\) | 2.55194 | − | 0.698271i | 0.964544 | − | 0.263922i | ||||
\(8\) | −0.595487 | + | 0.286771i | −0.210536 | + | 0.101389i | ||||
\(9\) | −0.790990 | − | 2.89384i | −0.263663 | − | 0.964615i | ||||
\(10\) | −1.06204 | − | 0.511453i | −0.335847 | − | 0.161736i | ||||
\(11\) | 1.83914 | − | 0.277206i | 0.554522 | − | 0.0835807i | 0.134197 | − | 0.990955i | \(-0.457154\pi\) |
0.420324 | + | 0.907374i | \(0.361916\pi\) | |||||||
\(12\) | 0.989991 | − | 2.68878i | 0.285786 | − | 0.776184i | ||||
\(13\) | −1.35293 | + | 3.44722i | −0.375236 | + | 0.956086i | 0.611132 | + | 0.791529i | \(0.290715\pi\) |
−0.986368 | + | 0.164557i | \(0.947381\pi\) | |||||||
\(14\) | 4.62489 | − | 2.04699i | 1.23605 | − | 0.547081i | ||||
\(15\) | −1.01370 | + | 0.336389i | −0.261736 | + | 0.0868551i | ||||
\(16\) | −3.77753 | + | 2.57548i | −0.944382 | + | 0.643869i | ||||
\(17\) | 0.108842 | + | 0.476870i | 0.0263982 | + | 0.115658i | 0.986410 | − | 0.164300i | \(-0.0525366\pi\) |
−0.960012 | + | 0.279958i | \(0.909679\pi\) | |||||||
\(18\) | −2.31966 | − | 5.24475i | −0.546749 | − | 1.23620i | ||||
\(19\) | −4.81600 | −1.10487 | −0.552433 | − | 0.833557i | \(-0.686300\pi\) | ||||
−0.552433 | + | 0.833557i | \(0.686300\pi\) | |||||||
\(20\) | −0.974760 | − | 0.300674i | −0.217963 | − | 0.0672327i | ||||
\(21\) | 1.72062 | − | 4.24729i | 0.375470 | − | 0.926835i | ||||
\(22\) | 3.39747 | − | 1.04798i | 0.724343 | − | 0.223430i | ||||
\(23\) | 2.49946 | − | 0.770981i | 0.521173 | − | 0.160761i | −0.0229968 | − | 0.999736i | \(-0.507321\pi\) |
0.544170 | + | 0.838975i | \(0.316845\pi\) | |||||||
\(24\) | −0.231012 | + | 1.12123i | −0.0471550 | + | 0.228871i | ||||
\(25\) | −1.68779 | − | 4.30041i | −0.337557 | − | 0.860081i | ||||
\(26\) | −1.57524 | + | 6.90159i | −0.308931 | + | 1.35351i | ||||
\(27\) | −4.81545 | − | 1.95229i | −0.926734 | − | 0.375718i | ||||
\(28\) | 3.69352 | − | 2.34812i | 0.698010 | − | 0.443753i | ||||
\(29\) | 9.29350 | + | 2.86667i | 1.72576 | + | 0.532326i | 0.989520 | − | 0.144395i | \(-0.0461235\pi\) |
0.736239 | + | 0.676721i | \(0.236600\pi\) | |||||||
\(30\) | −1.82031 | + | 0.924674i | −0.332342 | + | 0.168822i | ||||
\(31\) | 3.05299 | + | 5.28793i | 0.548333 | + | 0.949741i | 0.998389 | + | 0.0567403i | \(0.0180707\pi\) |
−0.450056 | + | 0.893000i | \(0.648596\pi\) | |||||||
\(32\) | −5.43772 | + | 5.04546i | −0.961262 | + | 0.891920i | ||||
\(33\) | 1.55120 | − | 2.82340i | 0.270030 | − | 0.491492i | ||||
\(34\) | 0.341606 | + | 0.870397i | 0.0585849 | + | 0.149272i | ||||
\(35\) | −1.54275 | − | 0.530696i | −0.260773 | − | 0.0897040i | ||||
\(36\) | −2.66139 | − | 4.18877i | −0.443566 | − | 0.698129i | ||||
\(37\) | 1.66442 | + | 7.29229i | 0.273629 | + | 1.19885i | 0.905695 | + | 0.423931i | \(0.139350\pi\) |
−0.632066 | + | 0.774915i | \(0.717793\pi\) | |||||||
\(38\) | −9.10348 | + | 1.37213i | −1.47678 | + | 0.222589i | ||||
\(39\) | 3.32415 | + | 5.48554i | 0.532290 | + | 0.878390i | ||||
\(40\) | 0.403012 | + | 0.0607442i | 0.0637217 | + | 0.00960451i | ||||
\(41\) | −7.15658 | − | 4.87927i | −1.11767 | − | 0.762015i | −0.143910 | − | 0.989591i | \(-0.545968\pi\) |
−0.973760 | + | 0.227576i | \(0.926920\pi\) | |||||||
\(42\) | 2.04231 | − | 8.51870i | 0.315136 | − | 1.31446i | ||||
\(43\) | −5.57669 | + | 3.80212i | −0.850437 | + | 0.579818i | −0.908211 | − | 0.418512i | \(-0.862552\pi\) |
0.0577747 | + | 0.998330i | \(0.481599\pi\) | |||||||
\(44\) | 2.77207 | − | 1.33496i | 0.417905 | − | 0.201252i | ||||
\(45\) | −0.602221 | + | 1.74916i | −0.0897739 | + | 0.260749i | ||||
\(46\) | 4.50496 | − | 2.16948i | 0.664221 | − | 0.319872i | ||||
\(47\) | −0.579126 | + | 0.0872892i | −0.0844742 | + | 0.0127324i | −0.191143 | − | 0.981562i | \(-0.561220\pi\) |
0.106669 | + | 0.994295i | \(0.465981\pi\) | |||||||
\(48\) | −0.424174 | + | 7.90750i | −0.0612242 | + | 1.14135i | ||||
\(49\) | 6.02483 | − | 3.56390i | 0.860691 | − | 0.509128i | ||||
\(50\) | −4.41558 | − | 7.64801i | −0.624457 | − | 1.08159i | ||||
\(51\) | 0.770929 | + | 0.351318i | 0.107952 | + | 0.0491943i | ||||
\(52\) | −0.457798 | + | 6.10889i | −0.0634852 | + | 0.847151i | ||||
\(53\) | 1.57726 | − | 6.91041i | 0.216653 | − | 0.949218i | −0.743278 | − | 0.668982i | \(-0.766730\pi\) |
0.959931 | − | 0.280236i | \(-0.0904127\pi\) | |||||||
\(54\) | −9.65867 | − | 2.31836i | −1.31438 | − | 0.315488i | ||||
\(55\) | −1.03332 | − | 0.497622i | −0.139333 | − | 0.0670993i | ||||
\(56\) | −1.31941 | + | 1.14764i | −0.176313 | + | 0.153359i | ||||
\(57\) | −5.06140 | + | 6.63052i | −0.670398 | + | 0.878234i | ||||
\(58\) | 18.3839 | + | 2.77092i | 2.41392 | + | 0.363840i | ||||
\(59\) | 0.915200 | + | 12.2125i | 0.119149 | + | 1.58993i | 0.661608 | + | 0.749850i | \(0.269874\pi\) |
−0.542459 | + | 0.840082i | \(0.682507\pi\) | |||||||
\(60\) | −1.43839 | + | 1.02603i | −0.185695 | + | 0.132459i | ||||
\(61\) | −10.4959 | − | 3.23757i | −1.34387 | − | 0.414528i | −0.462357 | − | 0.886694i | \(-0.652996\pi\) |
−0.881510 | + | 0.472166i | \(0.843472\pi\) | |||||||
\(62\) | 7.27752 | + | 9.12573i | 0.924247 | + | 1.15897i | ||||
\(63\) | −4.03925 | − | 6.83260i | −0.508898 | − | 0.860827i | ||||
\(64\) | −3.14004 | + | 3.93749i | −0.392505 | + | 0.492186i | ||||
\(65\) | 1.88676 | − | 1.28637i | 0.234024 | − | 0.159555i | ||||
\(66\) | 2.12776 | − | 5.77892i | 0.261909 | − | 0.711336i | ||||
\(67\) | 3.05732 | + | 5.29543i | 0.373511 | + | 0.646940i | 0.990103 | − | 0.140343i | \(-0.0448205\pi\) |
−0.616592 | + | 0.787283i | \(0.711487\pi\) | |||||||
\(68\) | 0.404574 | + | 0.700743i | 0.0490619 | + | 0.0849776i | ||||
\(69\) | 1.56535 | − | 4.25145i | 0.188447 | − | 0.511814i | ||||
\(70\) | −3.06741 | − | 0.563605i | −0.366625 | − | 0.0673637i | ||||
\(71\) | −0.553792 | + | 2.42632i | −0.0657230 | + | 0.287951i | −0.997100 | − | 0.0761054i | \(-0.975751\pi\) |
0.931377 | + | 0.364057i | \(0.118609\pi\) | |||||||
\(72\) | 1.30090 | + | 1.49641i | 0.153312 | + | 0.176354i | ||||
\(73\) | −1.39873 | + | 1.75395i | −0.163709 | + | 0.205284i | −0.856919 | − | 0.515451i | \(-0.827624\pi\) |
0.693210 | + | 0.720735i | \(0.256196\pi\) | |||||||
\(74\) | 5.22383 | + | 13.3101i | 0.607258 | + | 1.54727i | ||||
\(75\) | −7.69445 | − | 2.19584i | −0.888479 | − | 0.253554i | ||||
\(76\) | −7.61292 | + | 2.34827i | −0.873261 | + | 0.269365i | ||||
\(77\) | 4.49982 | − | 1.99163i | 0.512802 | − | 0.226968i | ||||
\(78\) | 7.84639 | + | 9.42201i | 0.888429 | + | 1.06683i | ||||
\(79\) | −0.767092 | + | 1.32864i | −0.0863046 | + | 0.149484i | −0.905946 | − | 0.423392i | \(-0.860839\pi\) |
0.819642 | + | 0.572876i | \(0.194173\pi\) | |||||||
\(80\) | 2.81926 | 0.315203 | ||||||||
\(81\) | −7.74867 | + | 4.57800i | −0.860963 | + | 0.508667i | ||||
\(82\) | −14.9179 | − | 7.18410i | −1.64741 | − | 0.793351i | ||||
\(83\) | −2.22859 | − | 5.67835i | −0.244619 | − | 0.623280i | 0.754849 | − | 0.655899i | \(-0.227710\pi\) |
−0.999468 | + | 0.0326194i | \(0.989615\pi\) | |||||||
\(84\) | 0.648904 | − | 7.55290i | 0.0708012 | − | 0.824089i | ||||
\(85\) | 0.110194 | − | 0.280770i | 0.0119522 | − | 0.0304538i | ||||
\(86\) | −9.45811 | + | 8.77584i | −1.01989 | + | 0.946324i | ||||
\(87\) | 13.7138 | − | 9.78227i | 1.47027 | − | 1.04877i | ||||
\(88\) | −1.01569 | + | 0.692486i | −0.108273 | + | 0.0738192i | ||||
\(89\) | 5.10697 | − | 6.40393i | 0.541337 | − | 0.678816i | −0.433649 | − | 0.901082i | \(-0.642774\pi\) |
0.974986 | + | 0.222267i | \(0.0713455\pi\) | |||||||
\(90\) | −0.640000 | + | 3.47794i | −0.0674619 | + | 0.366607i | ||||
\(91\) | −1.04552 | + | 9.74181i | −0.109600 | + | 1.02122i | ||||
\(92\) | 3.57511 | − | 2.43747i | 0.372730 | − | 0.254123i | ||||
\(93\) | 10.4888 | + | 1.35411i | 1.08764 | + | 0.140415i | ||||
\(94\) | −1.06983 | + | 0.329998i | −0.110344 | + | 0.0340367i | ||||
\(95\) | 2.45372 | + | 1.67292i | 0.251746 | + | 0.171638i | ||||
\(96\) | 1.23165 | + | 12.7890i | 0.125705 | + | 1.30528i | ||||
\(97\) | 3.74152 | − | 6.48051i | 0.379894 | − | 0.657996i | −0.611153 | − | 0.791513i | \(-0.709294\pi\) |
0.991046 | + | 0.133517i | \(0.0426271\pi\) | |||||||
\(98\) | 10.3731 | − | 8.45322i | 1.04784 | − | 0.853905i | ||||
\(99\) | −2.25693 | − | 5.10292i | −0.226830 | − | 0.512863i | ||||
\(100\) | −4.76485 | − | 5.97493i | −0.476485 | − | 0.597493i | ||||
\(101\) | 0.335717 | − | 4.47983i | 0.0334051 | − | 0.445760i | −0.955275 | − | 0.295719i | \(-0.904441\pi\) |
0.988680 | − | 0.150040i | \(-0.0479403\pi\) | |||||||
\(102\) | 1.55735 | + | 0.444435i | 0.154200 | + | 0.0440057i | ||||
\(103\) | −11.6276 | − | 7.92757i | −1.14570 | − | 0.781127i | −0.166909 | − | 0.985972i | \(-0.553378\pi\) |
−0.978794 | + | 0.204845i | \(0.934331\pi\) | |||||||
\(104\) | −0.182909 | − | 2.44076i | −0.0179357 | − | 0.239336i | ||||
\(105\) | −2.35201 | + | 1.56628i | −0.229533 | + | 0.152853i | ||||
\(106\) | 1.01257 | − | 13.5118i | 0.0983497 | − | 1.31239i | ||||
\(107\) | 11.4592 | − | 14.3694i | 1.10780 | − | 1.38914i | 0.194969 | − | 0.980809i | \(-0.437539\pi\) |
0.912834 | − | 0.408332i | \(-0.133889\pi\) | |||||||
\(108\) | −8.56398 | − | 0.738083i | −0.824070 | − | 0.0710221i | ||||
\(109\) | 6.44705 | + | 8.08435i | 0.617516 | + | 0.774340i | 0.987993 | − | 0.154502i | \(-0.0493772\pi\) |
−0.370477 | + | 0.928842i | \(0.620806\pi\) | |||||||
\(110\) | −2.09502 | − | 0.646229i | −0.199753 | − | 0.0616155i | ||||
\(111\) | 11.7890 | + | 5.37235i | 1.11897 | + | 0.509920i | ||||
\(112\) | −7.84166 | + | 9.21021i | −0.740967 | + | 0.870283i | ||||
\(113\) | 6.42484 | + | 0.968389i | 0.604398 | + | 0.0910984i | 0.444111 | − | 0.895972i | \(-0.353520\pi\) |
0.160288 | + | 0.987070i | \(0.448758\pi\) | |||||||
\(114\) | −7.67824 | + | 13.9754i | −0.719133 | + | 1.30892i | ||||
\(115\) | −1.54127 | − | 0.475419i | −0.143724 | − | 0.0443331i | ||||
\(116\) | 16.0885 | 1.49378 | ||||||||
\(117\) | 11.0459 | + | 1.18846i | 1.02119 | + | 0.109874i | ||||
\(118\) | 5.20943 | + | 22.8240i | 0.479567 | + | 2.10112i | ||||
\(119\) | 0.610745 | + | 1.14094i | 0.0559869 | + | 0.104590i | ||||
\(120\) | 0.507178 | − | 0.491015i | 0.0462988 | − | 0.0448233i | ||||
\(121\) | −7.20570 | + | 2.22267i | −0.655064 | + | 0.202060i | ||||
\(122\) | −20.7624 | − | 3.12943i | −1.87974 | − | 0.283326i | ||||
\(123\) | −14.2389 | + | 4.72507i | −1.28388 | + | 0.426045i | ||||
\(124\) | 7.40442 | + | 6.87029i | 0.664936 | + | 0.616971i | ||||
\(125\) | −1.31998 | + | 5.78322i | −0.118063 | + | 0.517267i | ||||
\(126\) | −9.58190 | − | 11.7646i | −0.853624 | − | 1.04807i | ||||
\(127\) | −3.94110 | − | 17.2671i | −0.349716 | − | 1.53221i | −0.777825 | − | 0.628480i | \(-0.783677\pi\) |
0.428109 | − | 0.903727i | \(-0.359180\pi\) | |||||||
\(128\) | 2.60426 | − | 4.51071i | 0.230186 | − | 0.398694i | ||||
\(129\) | −0.626199 | + | 11.6737i | −0.0551338 | + | 1.02781i | ||||
\(130\) | 3.19996 | − | 2.96913i | 0.280655 | − | 0.260410i | ||||
\(131\) | −0.399960 | − | 5.33710i | −0.0349447 | − | 0.466304i | −0.987037 | − | 0.160493i | \(-0.948691\pi\) |
0.952092 | − | 0.305811i | \(-0.0989276\pi\) | |||||||
\(132\) | 1.07539 | − | 5.21948i | 0.0936005 | − | 0.454297i | ||||
\(133\) | −12.2902 | + | 3.36287i | −1.06569 | + | 0.291598i | ||||
\(134\) | 7.28785 | + | 9.13867i | 0.629574 | + | 0.789461i | ||||
\(135\) | 1.77528 | + | 2.66741i | 0.152792 | + | 0.229574i | ||||
\(136\) | −0.201567 | − | 0.252757i | −0.0172842 | − | 0.0216737i | ||||
\(137\) | −12.7807 | + | 8.71375i | −1.09193 | + | 0.744466i | −0.968780 | − | 0.247922i | \(-0.920252\pi\) |
−0.123151 | + | 0.992388i | \(0.539300\pi\) | |||||||
\(138\) | 1.74764 | − | 8.48232i | 0.148769 | − | 0.722063i | ||||
\(139\) | 1.58988 | + | 1.08396i | 0.134852 | + | 0.0919404i | 0.628867 | − | 0.777513i | \(-0.283519\pi\) |
−0.494015 | + | 0.869453i | \(0.664471\pi\) | |||||||
\(140\) | −2.69748 | − | 0.0866554i | −0.227979 | − | 0.00732372i | ||||
\(141\) | −0.488458 | + | 0.889060i | −0.0411356 | + | 0.0748724i | ||||
\(142\) | −0.355525 | + | 4.74416i | −0.0298350 | + | 0.398121i | ||||
\(143\) | −1.53265 | + | 6.71496i | −0.128166 | + | 0.561533i | ||||
\(144\) | 10.4410 | + | 8.89441i | 0.870084 | + | 0.741201i | ||||
\(145\) | −3.73919 | − | 4.68880i | −0.310523 | − | 0.389384i | ||||
\(146\) | −2.14424 | + | 3.71393i | −0.177458 | + | 0.307367i | ||||
\(147\) | 1.42516 | − | 12.0403i | 0.117545 | − | 0.993068i | ||||
\(148\) | 6.18675 | + | 10.7158i | 0.508547 | + | 0.880830i | ||||
\(149\) | 6.77436 | − | 17.2608i | 0.554978 | − | 1.41406i | −0.328015 | − | 0.944673i | \(-0.606380\pi\) |
0.882992 | − | 0.469387i | \(-0.155525\pi\) | |||||||
\(150\) | −15.1701 | − | 1.95847i | −1.23864 | − | 0.159909i | ||||
\(151\) | −9.28215 | − | 8.61257i | −0.755370 | − | 0.700881i | 0.205261 | − | 0.978707i | \(-0.434196\pi\) |
−0.960631 | + | 0.277826i | \(0.910386\pi\) | |||||||
\(152\) | 2.86787 | − | 1.38109i | 0.232615 | − | 0.112021i | ||||
\(153\) | 1.29389 | − | 0.692172i | 0.104605 | − | 0.0559588i | ||||
\(154\) | 7.93838 | − | 5.04675i | 0.639693 | − | 0.406678i | ||||
\(155\) | 0.281374 | − | 3.75467i | 0.0226005 | − | 0.301583i | ||||
\(156\) | 7.92941 | + | 7.05045i | 0.634861 | + | 0.564488i | ||||
\(157\) | −0.343824 | − | 4.58801i | −0.0274401 | − | 0.366163i | −0.993973 | − | 0.109622i | \(-0.965036\pi\) |
0.966533 | − | 0.256542i | \(-0.0825830\pi\) | |||||||
\(158\) | −1.07146 | + | 2.73003i | −0.0852406 | + | 0.217190i | ||||
\(159\) | −7.85642 | − | 9.43405i | −0.623055 | − | 0.748169i | ||||
\(160\) | 4.52311 | − | 0.681749i | 0.357583 | − | 0.0538970i | ||||
\(161\) | 5.84013 | − | 3.71280i | 0.460267 | − | 0.292610i | ||||
\(162\) | −13.3427 | + | 10.8613i | −1.04830 | + | 0.853343i | ||||
\(163\) | −3.73627 | − | 1.79929i | −0.292647 | − | 0.140932i | 0.281800 | − | 0.959473i | \(-0.409069\pi\) |
−0.574447 | + | 0.818542i | \(0.694783\pi\) | |||||||
\(164\) | −13.6919 | − | 4.22340i | −1.06916 | − | 0.329792i | ||||
\(165\) | −1.77109 | + | 0.899669i | −0.137879 | + | 0.0700391i | ||||
\(166\) | −5.83043 | − | 10.0986i | −0.452529 | − | 0.783803i | ||||
\(167\) | 7.90849 | − | 7.33801i | 0.611978 | − | 0.567832i | −0.312094 | − | 0.950051i | \(-0.601030\pi\) |
0.924072 | + | 0.382219i | \(0.124840\pi\) | |||||||
\(168\) | 0.193396 | + | 3.02263i | 0.0149208 | + | 0.233201i | ||||
\(169\) | −0.523195 | − | 0.485454i | −0.0402458 | − | 0.0373427i | ||||
\(170\) | 0.128301 | − | 0.562124i | 0.00984025 | − | 0.0431129i | ||||
\(171\) | 3.80941 | + | 13.9368i | 0.291312 | + | 1.06577i | ||||
\(172\) | −6.96147 | + | 8.72941i | −0.530807 | + | 0.665611i | ||||
\(173\) | 1.93967 | + | 1.79975i | 0.147471 | + | 0.136833i | 0.750458 | − | 0.660918i | \(-0.229833\pi\) |
−0.602988 | + | 0.797750i | \(0.706023\pi\) | |||||||
\(174\) | 23.1355 | − | 22.3982i | 1.75390 | − | 1.69800i | ||||
\(175\) | −7.30998 | − | 9.79586i | −0.552583 | − | 0.740498i | ||||
\(176\) | −6.23347 | + | 5.78382i | −0.469866 | + | 0.435972i | ||||
\(177\) | 17.7756 | + | 11.5748i | 1.33610 | + | 0.870012i | ||||
\(178\) | 7.82894 | − | 13.5601i | 0.586804 | − | 1.01637i | ||||
\(179\) | −1.88647 | − | 8.26516i | −0.141001 | − | 0.617767i | −0.995204 | − | 0.0978261i | \(-0.968811\pi\) |
0.854202 | − | 0.519941i | \(-0.174046\pi\) | |||||||
\(180\) | −0.0990777 | + | 3.05863i | −0.00738482 | + | 0.227977i | ||||
\(181\) | −15.4090 | + | 19.3223i | −1.14534 | + | 1.43622i | −0.263508 | + | 0.964657i | \(0.584880\pi\) |
−0.881835 | + | 0.471558i | \(0.843692\pi\) | |||||||
\(182\) | 0.799250 | + | 18.7124i | 0.0592444 | + | 1.38706i | ||||
\(183\) | −15.4881 | + | 11.0480i | −1.14492 | + | 0.816688i | ||||
\(184\) | −1.26730 | + | 1.17588i | −0.0934267 | + | 0.0866873i | ||||
\(185\) | 1.68509 | − | 4.29354i | 0.123890 | − | 0.315667i | ||||
\(186\) | 20.2124 | − | 0.428752i | 1.48204 | − | 0.0314376i | ||||
\(187\) | 0.332368 | + | 0.846860i | 0.0243051 | + | 0.0619285i | ||||
\(188\) | −0.872895 | + | 0.420364i | −0.0636624 | + | 0.0306582i | ||||
\(189\) | −13.6520 | − | 1.61964i | −0.993036 | − | 0.117811i | ||||
\(190\) | 5.11480 | + | 2.46316i | 0.371066 | + | 0.178696i | ||||
\(191\) | 1.33060 | − | 17.7556i | 0.0962787 | − | 1.28475i | −0.714599 | − | 0.699534i | \(-0.753391\pi\) |
0.810878 | − | 0.585216i | \(-0.198990\pi\) | |||||||
\(192\) | 2.12097 | + | 8.46124i | 0.153068 | + | 0.610637i | ||||
\(193\) | 6.84185 | + | 4.66469i | 0.492487 | + | 0.335772i | 0.783964 | − | 0.620806i | \(-0.213194\pi\) |
−0.291477 | + | 0.956578i | \(0.594147\pi\) | |||||||
\(194\) | 5.22608 | − | 13.3158i | 0.375210 | − | 0.956021i | ||||
\(195\) | 0.211862 | − | 3.94955i | 0.0151717 | − | 0.282833i | ||||
\(196\) | 7.78604 | − | 8.57135i | 0.556146 | − | 0.612239i | ||||
\(197\) | −2.41828 | −0.172296 | −0.0861478 | − | 0.996282i | \(-0.527456\pi\) | ||||
−0.0861478 | + | 0.996282i | \(0.527456\pi\) | |||||||
\(198\) | −5.72006 | − | 9.00281i | −0.406507 | − | 0.639802i | ||||
\(199\) | −8.70803 | + | 4.19357i | −0.617296 | + | 0.297274i | −0.716278 | − | 0.697815i | \(-0.754156\pi\) |
0.0989820 | + | 0.995089i | \(0.468441\pi\) | |||||||
\(200\) | 2.23829 | + | 2.07683i | 0.158271 | + | 0.146854i | ||||
\(201\) | 10.5037 | + | 1.35603i | 0.740873 | + | 0.0956472i | ||||
\(202\) | −0.641759 | − | 8.56368i | −0.0451540 | − | 0.602538i | ||||
\(203\) | 25.7182 | + | 0.826185i | 1.80506 | + | 0.0579868i | ||||
\(204\) | 1.38995 | + | 0.179444i | 0.0973161 | + | 0.0125636i | ||||
\(205\) | 1.95133 | + | 4.97192i | 0.136287 | + | 0.347254i | ||||
\(206\) | −24.2378 | − | 11.6723i | −1.68873 | − | 0.813250i | ||||
\(207\) | −4.20815 | − | 6.62321i | −0.292486 | − | 0.460345i | ||||
\(208\) | −3.76748 | − | 16.5064i | −0.261228 | − | 1.14451i | ||||
\(209\) | −8.85730 | + | 1.33502i | −0.612672 | + | 0.0923455i | ||||
\(210\) | −3.99966 | + | 3.63079i | −0.276003 | + | 0.250548i | ||||
\(211\) | 9.33098 | + | 1.40642i | 0.642371 | + | 0.0968218i | 0.462146 | − | 0.886804i | \(-0.347079\pi\) |
0.180225 | + | 0.983625i | \(0.442318\pi\) | |||||||
\(212\) | −0.876250 | − | 11.6927i | −0.0601811 | − | 0.803061i | ||||
\(213\) | 2.75848 | + | 3.31240i | 0.189008 | + | 0.226962i | ||||
\(214\) | 17.5669 | − | 30.4267i | 1.20085 | − | 2.07993i | ||||
\(215\) | 4.16202 | 0.283847 | ||||||||
\(216\) | 3.42740 | − | 0.218372i | 0.233205 | − | 0.0148583i | ||||
\(217\) | 11.4835 | + | 11.3627i | 0.779549 | + | 0.771350i | ||||
\(218\) | 14.4899 | + | 13.4447i | 0.981380 | + | 0.910588i | ||||
\(219\) | 0.944784 | + | 3.76904i | 0.0638426 | + | 0.254688i | ||||
\(220\) | −1.87607 | − | 0.282772i | −0.126485 | − | 0.0190645i | ||||
\(221\) | −1.79113 | − | 0.269969i | −0.120484 | − | 0.0181601i | ||||
\(222\) | 23.8149 | + | 6.79630i | 1.59835 | + | 0.456138i | ||||
\(223\) | −7.99180 | − | 7.41531i | −0.535171 | − | 0.496566i | 0.365653 | − | 0.930751i | \(-0.380846\pi\) |
−0.900824 | + | 0.434185i | \(0.857036\pi\) | |||||||
\(224\) | −10.3536 | + | 16.6727i | −0.691782 | + | 1.11399i | ||||
\(225\) | −11.1097 | + | 8.28576i | −0.740646 | + | 0.552384i | ||||
\(226\) | 12.4205 | 0.826200 | ||||||||
\(227\) | −8.34947 | + | 14.4617i | −0.554174 | + | 0.959857i | 0.443793 | + | 0.896129i | \(0.353632\pi\) |
−0.997967 | + | 0.0637282i | \(0.979701\pi\) | |||||||
\(228\) | −4.76780 | + | 12.9492i | −0.315755 | + | 0.857579i | ||||
\(229\) | −0.726281 | − | 9.69155i | −0.0479940 | − | 0.640436i | −0.968389 | − | 0.249446i | \(-0.919752\pi\) |
0.920395 | − | 0.390990i | \(-0.127867\pi\) | |||||||
\(230\) | −3.04885 | − | 0.459541i | −0.201035 | − | 0.0303012i | ||||
\(231\) | 1.98709 | − | 8.28833i | 0.130741 | − | 0.545332i | ||||
\(232\) | −6.35624 | + | 0.958049i | −0.417307 | + | 0.0628990i | ||||
\(233\) | 4.05915 | + | 17.7843i | 0.265924 | + | 1.16509i | 0.914708 | + | 0.404115i | \(0.132420\pi\) |
−0.648785 | + | 0.760972i | \(0.724722\pi\) | |||||||
\(234\) | 21.2181 | − | 0.900578i | 1.38707 | − | 0.0588726i | ||||
\(235\) | 0.325382 | + | 0.156696i | 0.0212256 | + | 0.0102217i | ||||
\(236\) | 7.40150 | + | 18.8587i | 0.481797 | + | 1.22760i | ||||
\(237\) | 1.02306 | + | 2.45245i | 0.0664546 | + | 0.159304i | ||||
\(238\) | 1.47953 | + | 1.98267i | 0.0959038 | + | 0.128517i | ||||
\(239\) | −0.803510 | − | 10.7221i | −0.0519748 | − | 0.693555i | −0.960953 | − | 0.276711i | \(-0.910755\pi\) |
0.908978 | − | 0.416843i | \(-0.136864\pi\) | |||||||
\(240\) | 2.96292 | − | 3.88147i | 0.191255 | − | 0.250548i | ||||
\(241\) | 16.0536 | + | 14.8955i | 1.03410 | + | 0.959505i | 0.999204 | − | 0.0398857i | \(-0.0126994\pi\) |
0.0348965 | + | 0.999391i | \(0.488890\pi\) | |||||||
\(242\) | −12.9874 | + | 6.25439i | −0.834860 | + | 0.402048i | ||||
\(243\) | −1.84065 | + | 15.4794i | −0.118078 | + | 0.993004i | ||||
\(244\) | −18.1701 | −1.16322 | ||||||||
\(245\) | −4.30759 | − | 0.277045i | −0.275202 | − | 0.0176997i | ||||
\(246\) | −25.5689 | + | 12.9884i | −1.63022 | + | 0.828111i | ||||
\(247\) | 6.51572 | − | 16.6018i | 0.414585 | − | 1.05635i | ||||
\(248\) | −3.33444 | − | 2.27339i | −0.211737 | − | 0.144360i | ||||
\(249\) | −10.1599 | − | 2.89943i | −0.643859 | − | 0.183744i | ||||
\(250\) | −0.847406 | + | 11.3078i | −0.0535947 | + | 0.715171i | ||||
\(251\) | 2.34783 | + | 1.13065i | 0.148194 | + | 0.0713663i | 0.506511 | − | 0.862234i | \(-0.330935\pi\) |
−0.358317 | + | 0.933600i | \(0.616649\pi\) | |||||||
\(252\) | −9.71663 | − | 8.83114i | −0.612090 | − | 0.556310i | ||||
\(253\) | 4.38314 | − | 2.11081i | 0.275566 | − | 0.132705i | ||||
\(254\) | −12.3693 | − | 31.5164i | −0.776118 | − | 1.97752i | ||||
\(255\) | −0.270747 | − | 0.446789i | −0.0169548 | − | 0.0279790i | ||||
\(256\) | 7.31746 | − | 18.6446i | 0.457341 | − | 1.16529i | ||||
\(257\) | 14.9169 | − | 13.8409i | 0.930492 | − | 0.863370i | −0.0603802 | − | 0.998175i | \(-0.519231\pi\) |
0.990872 | + | 0.134805i | \(0.0430408\pi\) | |||||||
\(258\) | 2.14227 | + | 22.2447i | 0.133372 | + | 1.38489i | ||||
\(259\) | 9.33950 | + | 17.4473i | 0.580328 | + | 1.08412i | ||||
\(260\) | 2.35527 | − | 2.95342i | 0.146068 | − | 0.183163i | ||||
\(261\) | 0.944621 | − | 29.1614i | 0.0584706 | − | 1.80505i | ||||
\(262\) | −2.27662 | − | 9.97454i | −0.140650 | − | 0.616229i | ||||
\(263\) | −9.74587 | + | 16.8803i | −0.600956 | + | 1.04089i | 0.391720 | + | 0.920084i | \(0.371880\pi\) |
−0.992677 | + | 0.120802i | \(0.961453\pi\) | |||||||
\(264\) | −0.114051 | + | 2.12614i | −0.00701933 | + | 0.130855i | ||||
\(265\) | −3.20405 | + | 2.97292i | −0.196823 | + | 0.182625i | ||||
\(266\) | −22.2735 | + | 9.85829i | −1.36567 | + | 0.604451i | ||||
\(267\) | −3.44955 | − | 13.7614i | −0.211109 | − | 0.842181i | ||||
\(268\) | 7.41492 | + | 6.88004i | 0.452938 | + | 0.420265i | ||||
\(269\) | 10.4814 | − | 13.1433i | 0.639063 | − | 0.801359i | −0.351823 | − | 0.936067i | \(-0.614438\pi\) |
0.990885 | + | 0.134707i | \(0.0430094\pi\) | |||||||
\(270\) | 4.11571 | + | 4.53629i | 0.250474 | + | 0.276070i | ||||
\(271\) | 0.954745 | − | 4.18301i | 0.0579966 | − | 0.254100i | −0.937616 | − | 0.347673i | \(-0.886972\pi\) |
0.995612 | + | 0.0935734i | \(0.0298290\pi\) | |||||||
\(272\) | −1.63932 | − | 1.52107i | −0.0993986 | − | 0.0922284i | ||||
\(273\) | 12.3134 | + | 11.6776i | 0.745244 | + | 0.706763i | ||||
\(274\) | −21.6762 | + | 20.1126i | −1.30951 | + | 1.21505i | ||||
\(275\) | −4.29617 | − | 7.44119i | −0.259069 | − | 0.448721i | ||||
\(276\) | 0.401444 | − | 7.48376i | 0.0241641 | − | 0.450470i | ||||
\(277\) | 4.27665 | + | 1.31917i | 0.256959 | + | 0.0792614i | 0.420558 | − | 0.907265i | \(-0.361834\pi\) |
−0.163599 | + | 0.986527i | \(0.552310\pi\) | |||||||
\(278\) | 3.31411 | + | 1.59599i | 0.198767 | + | 0.0957213i | ||||
\(279\) | 12.8876 | − | 13.0176i | 0.771559 | − | 0.779342i | ||||
\(280\) | 1.07088 | − | 0.126396i | 0.0639973 | − | 0.00755358i | ||||
\(281\) | −3.92043 | + | 0.590910i | −0.233874 | + | 0.0352508i | −0.264933 | − | 0.964267i | \(-0.585350\pi\) |
0.0310597 | + | 0.999518i | \(0.490112\pi\) | |||||||
\(282\) | −0.670009 | + | 1.81972i | −0.0398985 | + | 0.108363i | ||||
\(283\) | 9.86378 | − | 25.1325i | 0.586341 | − | 1.49397i | −0.262291 | − | 0.964989i | \(-0.584478\pi\) |
0.848632 | − | 0.528983i | \(-0.177427\pi\) | |||||||
\(284\) | 0.307661 | + | 4.10545i | 0.0182563 | + | 0.243614i | ||||
\(285\) | 4.88197 | − | 1.62005i | 0.289183 | − | 0.0959633i | ||||
\(286\) | −0.983933 | + | 13.1297i | −0.0581811 | + | 0.776373i | ||||
\(287\) | −21.6703 | − | 7.45440i | −1.27915 | − | 0.440019i | ||||
\(288\) | 18.9020 | + | 11.7450i | 1.11381 | + | 0.692081i | ||||
\(289\) | 15.1009 | − | 7.27222i | 0.888289 | − | 0.427777i | ||||
\(290\) | −8.40393 | − | 7.79771i | −0.493496 | − | 0.457897i | ||||
\(291\) | −4.98999 | − | 11.9619i | −0.292519 | − | 0.701221i | ||||
\(292\) | −1.35582 | + | 3.45458i | −0.0793435 | + | 0.202164i | ||||
\(293\) | 10.8553 | + | 18.8019i | 0.634172 | + | 1.09842i | 0.986690 | + | 0.162613i | \(0.0519923\pi\) |
−0.352518 | + | 0.935805i | \(0.614674\pi\) | |||||||
\(294\) | −0.736489 | − | 23.1653i | −0.0429529 | − | 1.35103i | ||||
\(295\) | 3.77593 | − | 6.54010i | 0.219843 | − | 0.380779i | ||||
\(296\) | −3.08236 | − | 3.86516i | −0.179159 | − | 0.224658i | ||||
\(297\) | −9.39748 | − | 2.25566i | −0.545297 | − | 0.130887i | ||||
\(298\) | 7.88751 | − | 34.5574i | 0.456911 | − | 2.00186i | ||||
\(299\) | −0.723862 | + | 9.65926i | −0.0418620 | + | 0.558610i | ||||
\(300\) | −13.2337 | + | 0.280719i | −0.764050 | + | 0.0162073i | ||||
\(301\) | −11.5765 | + | 13.5968i | −0.667257 | + | 0.783709i | ||||
\(302\) | −19.9995 | − | 13.6354i | −1.15084 | − | 0.784629i | ||||
\(303\) | −5.81487 | − | 5.17030i | −0.334055 | − | 0.297026i | ||||
\(304\) | 18.1926 | − | 12.4035i | 1.04342 | − | 0.711389i | ||||
\(305\) | 4.22299 | + | 5.29546i | 0.241808 | + | 0.303217i | ||||
\(306\) | 2.24859 | − | 1.67703i | 0.128543 | − | 0.0958693i | ||||
\(307\) | 14.7961 | + | 18.5537i | 0.844458 | + | 1.05892i | 0.997498 | + | 0.0706964i | \(0.0225222\pi\) |
−0.153040 | + | 0.988220i | \(0.548906\pi\) | |||||||
\(308\) | 6.14200 | − | 5.34239i | 0.349973 | − | 0.304411i | ||||
\(309\) | −23.1345 | + | 7.67703i | −1.31608 | + | 0.436731i | ||||
\(310\) | −0.537877 | − | 7.17747i | −0.0305494 | − | 0.407653i | ||||
\(311\) | −17.6100 | + | 16.3397i | −0.998570 | + | 0.926538i | −0.997298 | − | 0.0734612i | \(-0.976595\pi\) |
−0.00127239 | + | 0.999999i | \(0.500405\pi\) | |||||||
\(312\) | −3.55259 | − | 2.31330i | −0.201126 | − | 0.130965i | ||||
\(313\) | −7.59403 | + | 13.1532i | −0.429240 | + | 0.743466i | −0.996806 | − | 0.0798624i | \(-0.974552\pi\) |
0.567566 | + | 0.823328i | \(0.307885\pi\) | |||||||
\(314\) | −1.95709 | − | 8.57457i | −0.110445 | − | 0.483891i | ||||
\(315\) | −0.315448 | + | 4.88427i | −0.0177735 | + | 0.275197i | ||||
\(316\) | −0.564741 | + | 2.47429i | −0.0317692 | + | 0.139190i | ||||
\(317\) | 4.05552 | + | 3.76297i | 0.227781 | + | 0.211349i | 0.785804 | − | 0.618476i | \(-0.212250\pi\) |
−0.558023 | + | 0.829825i | \(0.688440\pi\) | |||||||
\(318\) | −17.5385 | − | 15.5944i | −0.983512 | − | 0.874491i | ||||
\(319\) | 17.8867 | + | 2.69599i | 1.00146 | + | 0.150946i | ||||
\(320\) | 2.96758 | − | 0.915378i | 0.165893 | − | 0.0511712i | ||||
\(321\) | −7.74024 | − | 30.8783i | −0.432018 | − | 1.72346i | ||||
\(322\) | 9.98153 | − | 8.68207i | 0.556249 | − | 0.483833i | ||||
\(323\) | −0.524185 | − | 2.29661i | −0.0291664 | − | 0.127787i | ||||
\(324\) | −10.0165 | + | 11.0149i | −0.556474 | + | 0.611941i | ||||
\(325\) | 17.1079 | 0.948975 | ||||||||
\(326\) | −7.57515 | − | 2.33663i | −0.419549 | − | 0.129414i | ||||
\(327\) | 17.9058 | − | 0.379825i | 0.990195 | − | 0.0210044i | ||||
\(328\) | 5.66089 | + | 0.853242i | 0.312570 | + | 0.0471124i | ||||
\(329\) | −1.41695 | + | 0.627144i | −0.0781187 | + | 0.0345756i | ||||
\(330\) | −3.09148 | + | 2.20521i | −0.170181 | + | 0.121393i | ||||
\(331\) | −15.2645 | − | 4.70847i | −0.839012 | − | 0.258801i | −0.154674 | − | 0.987966i | \(-0.549433\pi\) |
−0.684338 | + | 0.729165i | \(0.739909\pi\) | |||||||
\(332\) | −6.29160 | − | 7.88942i | −0.345297 | − | 0.432988i | ||||
\(333\) | 19.7862 | − | 10.5847i | 1.08428 | − | 0.580038i | ||||
\(334\) | 12.8584 | − | 16.1239i | 0.703581 | − | 0.882263i | ||||
\(335\) | 0.281773 | − | 3.76000i | 0.0153949 | − | 0.205431i | ||||
\(336\) | 4.43911 | + | 20.4757i | 0.242173 | + | 1.11704i | ||||
\(337\) | 0.704384 | + | 9.39935i | 0.0383702 | + | 0.512015i | 0.982967 | + | 0.183782i | \(0.0588341\pi\) |
−0.944597 | + | 0.328233i | \(0.893547\pi\) | |||||||
\(338\) | −1.12729 | − | 0.768570i | −0.0613162 | − | 0.0418047i | ||||
\(339\) | 8.08546 | − | 7.82779i | 0.439142 | − | 0.425147i | ||||
\(340\) | 0.0372870 | − | 0.497560i | 0.00202217 | − | 0.0269840i | ||||
\(341\) | 7.08072 | + | 8.87895i | 0.383443 | + | 0.480822i | ||||
\(342\) | 11.1715 | + | 25.2587i | 0.604085 | + | 1.36583i | ||||
\(343\) | 12.8865 | − | 13.3018i | 0.695804 | − | 0.718232i | ||||
\(344\) | 2.23051 | − | 3.86335i | 0.120261 | − | 0.208298i | ||||
\(345\) | −2.27435 | + | 1.62233i | −0.122447 | + | 0.0873434i | ||||
\(346\) | 4.17925 | + | 2.84937i | 0.224678 | + | 0.153183i | ||||
\(347\) | 8.31347 | − | 2.56436i | 0.446290 | − | 0.137662i | −0.0634607 | − | 0.997984i | \(-0.520214\pi\) |
0.509751 | + | 0.860322i | \(0.329738\pi\) | |||||||
\(348\) | 16.9083 | − | 22.1502i | 0.906381 | − | 1.18738i | ||||
\(349\) | 10.8831 | − | 7.41994i | 0.582556 | − | 0.397180i | −0.235876 | − | 0.971783i | \(-0.575796\pi\) |
0.818432 | + | 0.574603i | \(0.194843\pi\) | |||||||
\(350\) | −16.6087 | − | 16.4340i | −0.887772 | − | 0.878435i | ||||
\(351\) | 13.2449 | − | 13.9586i | 0.706963 | − | 0.745054i | ||||
\(352\) | −8.60210 | + | 10.7867i | −0.458493 | + | 0.574932i | ||||
\(353\) | 2.68088 | − | 1.82779i | 0.142689 | − | 0.0972837i | −0.489872 | − | 0.871795i | \(-0.662956\pi\) |
0.632561 | + | 0.774511i | \(0.282004\pi\) | |||||||
\(354\) | 36.8983 | + | 16.8148i | 1.96112 | + | 0.893697i | ||||
\(355\) | 1.12498 | − | 1.04383i | 0.0597076 | − | 0.0554005i | ||||
\(356\) | 4.95032 | − | 12.6132i | 0.262366 | − | 0.668498i | ||||
\(357\) | 2.21268 | + | 0.358226i | 0.117108 | + | 0.0189593i | ||||
\(358\) | −5.92074 | − | 15.0858i | −0.312921 | − | 0.797310i | ||||
\(359\) | −9.69350 | − | 4.66814i | −0.511603 | − | 0.246375i | 0.160227 | − | 0.987080i | \(-0.448777\pi\) |
−0.671830 | + | 0.740705i | \(0.734492\pi\) | |||||||
\(360\) | −0.142994 | − | 1.21430i | −0.00753643 | − | 0.0639993i | ||||
\(361\) | 4.19385 | 0.220729 | ||||||||
\(362\) | −23.6219 | + | 40.9143i | −1.24154 | + | 2.15041i | ||||
\(363\) | −4.51277 | + | 12.2565i | −0.236859 | + | 0.643300i | ||||
\(364\) | 3.09739 | + | 15.9092i | 0.162347 | + | 0.833870i | ||||
\(365\) | 1.32191 | − | 0.407754i | 0.0691917 | − | 0.0213428i | ||||
\(366\) | −26.1289 | + | 25.2962i | −1.36578 | + | 1.32225i | ||||
\(367\) | 9.23051 | + | 23.5190i | 0.481829 | + | 1.22768i | 0.940719 | + | 0.339187i | \(0.110152\pi\) |
−0.458890 | + | 0.888493i | \(0.651753\pi\) | |||||||
\(368\) | −7.45614 | + | 9.34970i | −0.388678 | + | 0.487387i | ||||
\(369\) | −8.45908 | + | 24.5695i | −0.440362 | + | 1.27904i | ||||
\(370\) | 1.96198 | − | 8.59599i | 0.101998 | − | 0.446884i | ||||
\(371\) | −0.800272 | − | 18.7363i | −0.0415481 | − | 0.972742i | ||||
\(372\) | 17.2405 | − | 2.97381i | 0.893879 | − | 0.154185i | ||||
\(373\) | −5.88537 | − | 10.1938i | −0.304733 | − | 0.527813i | 0.672469 | − | 0.740125i | \(-0.265234\pi\) |
−0.977202 | + | 0.212312i | \(0.931901\pi\) | |||||||
\(374\) | 0.869540 | + | 1.50609i | 0.0449629 | + | 0.0778779i | ||||
\(375\) | 6.57492 | + | 7.89521i | 0.339527 | + | 0.407707i | ||||
\(376\) | 0.319830 | − | 0.218056i | 0.0164940 | − | 0.0112454i | ||||
\(377\) | −22.4555 | + | 28.1583i | −1.15652 | + | 1.45023i | ||||
\(378\) | −26.2672 | + | 0.828060i | −1.35104 | + | 0.0425908i | ||||
\(379\) | 3.85642 | + | 4.83579i | 0.198091 | + | 0.248398i | 0.870949 | − | 0.491374i | \(-0.163505\pi\) |
−0.672858 | + | 0.739772i | \(0.734934\pi\) | |||||||
\(380\) | 4.69444 | + | 1.44804i | 0.240820 | + | 0.0742831i | ||||
\(381\) | −27.9147 | − | 12.7209i | −1.43012 | − | 0.651714i | ||||
\(382\) | −2.54358 | − | 33.9418i | −0.130141 | − | 1.73661i | ||||
\(383\) | −10.0781 | − | 1.51904i | −0.514969 | − | 0.0776191i | −0.113584 | − | 0.993528i | \(-0.536233\pi\) |
−0.401385 | + | 0.915909i | \(0.631471\pi\) | |||||||
\(384\) | −3.47325 | − | 8.32601i | −0.177243 | − | 0.424885i | ||||
\(385\) | −2.98446 | − | 0.548364i | −0.152102 | − | 0.0279472i | ||||
\(386\) | 14.2619 | + | 6.86816i | 0.725911 | + | 0.349580i | ||||
\(387\) | 15.4138 | + | 13.1306i | 0.783530 | + | 0.667467i | ||||
\(388\) | 2.75455 | − | 12.0685i | 0.139841 | − | 0.612683i | ||||
\(389\) | −1.78038 | + | 23.7575i | −0.0902689 | + | 1.20455i | 0.749647 | + | 0.661838i | \(0.230223\pi\) |
−0.839916 | + | 0.542717i | \(0.817396\pi\) | |||||||
\(390\) | −0.724795 | − | 7.52603i | −0.0367014 | − | 0.381095i | ||||
\(391\) | 0.639705 | + | 1.10800i | 0.0323513 | + | 0.0560341i | ||||
\(392\) | −2.56569 | + | 3.85001i | −0.129587 | + | 0.194455i | ||||
\(393\) | −7.76829 | − | 5.05839i | −0.391859 | − | 0.255162i | ||||
\(394\) | −4.57118 | + | 0.688994i | −0.230293 | + | 0.0347110i | ||||
\(395\) | 0.852355 | − | 0.410473i | 0.0428866 | − | 0.0206531i | ||||
\(396\) | −6.05583 | − | 6.96599i | −0.304317 | − | 0.350054i | ||||
\(397\) | −8.99993 | + | 4.33414i | −0.451694 | + | 0.217524i | −0.645878 | − | 0.763441i | \(-0.723508\pi\) |
0.194184 | + | 0.980965i | \(0.437794\pi\) | |||||||
\(398\) | −15.2656 | + | 10.4079i | −0.765197 | + | 0.521702i | ||||
\(399\) | −8.28649 | + | 20.4549i | −0.414844 | + | 1.02403i | ||||
\(400\) | 17.4513 | + | 11.8981i | 0.872563 | + | 0.594903i | ||||
\(401\) | −8.89253 | − | 1.34033i | −0.444072 | − | 0.0669330i | −0.0767995 | − | 0.997047i | \(-0.524470\pi\) |
−0.367272 | + | 0.930114i | \(0.619708\pi\) | |||||||
\(402\) | 20.2410 | − | 0.429360i | 1.00953 | − | 0.0214145i | ||||
\(403\) | −22.3591 | + | 3.37010i | −1.11379 | + | 0.167876i | ||||
\(404\) | −1.65367 | − | 7.24521i | −0.0822732 | − | 0.360463i | ||||
\(405\) | 5.53814 | + | 0.359169i | 0.275193 | + | 0.0178472i | ||||
\(406\) | 48.8494 | − | 5.76568i | 2.42436 | − | 0.286146i | ||||
\(407\) | 5.08257 | + | 12.9502i | 0.251933 | + | 0.641916i | ||||
\(408\) | −0.559826 | + | 0.0118752i | −0.0277155 | + | 0.000587911i | ||||
\(409\) | −21.4485 | + | 19.9013i | −1.06056 | + | 0.984057i | −0.999901 | − | 0.0141010i | \(-0.995511\pi\) |
−0.0606611 | + | 0.998158i | \(0.519321\pi\) | |||||||
\(410\) | 5.10508 | + | 8.84225i | 0.252122 | + | 0.436688i | ||||
\(411\) | −1.43513 | + | 26.7539i | −0.0707898 | + | 1.31967i | ||||
\(412\) | −22.2459 | − | 6.86195i | −1.09598 | − | 0.338064i | ||||
\(413\) | 10.8632 | + | 30.5266i | 0.534542 | + | 1.50211i | ||||
\(414\) | −9.84150 | − | 11.3206i | −0.483684 | − | 0.556379i | ||||
\(415\) | −0.837019 | + | 3.66722i | −0.0410876 | + | 0.180017i | ||||
\(416\) | −10.0359 | − | 25.5712i | −0.492052 | − | 1.25373i | ||||
\(417\) | 3.16326 | − | 1.04970i | 0.154905 | − | 0.0514042i | ||||
\(418\) | −16.3622 | + | 5.04708i | −0.800302 | + | 0.246861i | ||||
\(419\) | 7.49618 | − | 2.31227i | 0.366212 | − | 0.112962i | −0.106187 | − | 0.994346i | \(-0.533864\pi\) |
0.472399 | + | 0.881385i | \(0.343388\pi\) | |||||||
\(420\) | −2.95424 | + | 3.62274i | −0.144152 | + | 0.176772i | ||||
\(421\) | 17.3345 | + | 5.34700i | 0.844834 | + | 0.260597i | 0.686809 | − | 0.726838i | \(-0.259011\pi\) |
0.158025 | + | 0.987435i | \(0.449487\pi\) | |||||||
\(422\) | 18.0387 | 0.878108 | ||||||||
\(423\) | 0.710684 | + | 1.60686i | 0.0345546 | + | 0.0781280i | ||||
\(424\) | 1.04247 | + | 4.56737i | 0.0506270 | + | 0.221811i | ||||
\(425\) | 1.86703 | − | 1.27292i | 0.0905644 | − | 0.0617457i | ||||
\(426\) | 6.15797 | + | 5.47537i | 0.298355 | + | 0.265282i | ||||
\(427\) | −29.0457 | − | 0.933080i | −1.40562 | − | 0.0451549i | ||||
\(428\) | 11.1077 | − | 28.3020i | 0.536911 | − | 1.36803i | ||||
\(429\) | 7.63421 | + | 9.16721i | 0.368583 | + | 0.442597i | ||||
\(430\) | 7.86728 | − | 1.18580i | 0.379394 | − | 0.0571845i | ||||
\(431\) | −26.0438 | − | 12.5420i | −1.25448 | − | 0.604128i | −0.315774 | − | 0.948835i | \(-0.602264\pi\) |
−0.938710 | + | 0.344707i | \(0.887978\pi\) | |||||||
\(432\) | 23.2186 | − | 5.02725i | 1.11710 | − | 0.241874i | ||||
\(433\) | −9.86310 | + | 4.74982i | −0.473990 | + | 0.228262i | −0.655599 | − | 0.755109i | \(-0.727584\pi\) |
0.181609 | + | 0.983371i | \(0.441870\pi\) | |||||||
\(434\) | 24.9441 | + | 18.2067i | 1.19735 | + | 0.873948i | ||||
\(435\) | −10.3851 | + | 0.220293i | −0.497928 | + | 0.0105622i | ||||
\(436\) | 14.1331 | + | 9.63580i | 0.676854 | + | 0.461471i | ||||
\(437\) | −12.0374 | + | 3.71305i | −0.575827 | + | 0.177619i | ||||
\(438\) | 2.85973 | + | 6.85529i | 0.136643 | + | 0.327558i | ||||
\(439\) | 41.3597 | − | 6.23397i | 1.97399 | − | 0.297531i | 0.977917 | − | 0.208995i | \(-0.0670192\pi\) |
0.996073 | − | 0.0885363i | \(-0.0282189\pi\) | |||||||
\(440\) | 0.758034 | 0.0361379 | ||||||||
\(441\) | −15.0789 | − | 14.6159i | −0.718045 | − | 0.695997i | ||||
\(442\) | −3.46262 | −0.164700 | ||||||||
\(443\) | −38.1930 | + | 5.75667i | −1.81460 | + | 0.273508i | −0.966564 | − | 0.256424i | \(-0.917456\pi\) |
−0.848040 | + | 0.529932i | \(0.822217\pi\) | |||||||
\(444\) | 21.2551 | + | 2.74405i | 1.00872 | + | 0.130227i | ||||
\(445\) | −4.82648 | + | 1.48877i | −0.228797 | + | 0.0705746i | ||||
\(446\) | −17.2193 | − | 11.7399i | −0.815356 | − | 0.555900i | ||||
\(447\) | −16.6446 | − | 27.4671i | −0.787262 | − | 1.29915i | ||||
\(448\) | −5.26378 | + | 12.2408i | −0.248690 | + | 0.578326i | ||||
\(449\) | −14.0528 | + | 6.76747i | −0.663192 | + | 0.319376i | −0.735025 | − | 0.678040i | \(-0.762830\pi\) |
0.0718327 | + | 0.997417i | \(0.477115\pi\) | |||||||
\(450\) | −18.6395 | + | 18.8275i | −0.878673 | + | 0.887537i | ||||
\(451\) | −14.5145 | − | 6.98983i | −0.683462 | − | 0.329138i | ||||
\(452\) | 10.6283 | − | 1.60196i | 0.499913 | − | 0.0753497i | ||||
\(453\) | −21.6126 | + | 3.72796i | −1.01545 | + | 0.175155i | ||||
\(454\) | −11.6624 | + | 29.7152i | −0.547342 | + | 1.39460i | ||||
\(455\) | 3.91667 | − | 4.60021i | 0.183616 | − | 0.215661i | ||||
\(456\) | 1.11255 | − | 5.39985i | 0.0521000 | − | 0.252871i | ||||
\(457\) | −28.0596 | + | 19.1307i | −1.31257 | + | 0.894896i | −0.998513 | − | 0.0545085i | \(-0.982641\pi\) |
−0.314057 | + | 0.949404i | \(0.601688\pi\) | |||||||
\(458\) | −4.13408 | − | 18.1126i | −0.193173 | − | 0.846347i | ||||
\(459\) | 0.406862 | − | 2.50884i | 0.0189907 | − | 0.117102i | ||||
\(460\) | −2.66819 | −0.124405 | ||||||||
\(461\) | 13.2047 | + | 4.07310i | 0.615002 | + | 0.189703i | 0.586578 | − | 0.809893i | \(-0.300475\pi\) |
0.0284245 | + | 0.999596i | \(0.490951\pi\) | |||||||
\(462\) | 1.39467 | − | 16.2332i | 0.0648860 | − | 0.755238i | ||||
\(463\) | 16.6216 | − | 5.12709i | 0.772472 | − | 0.238276i | 0.116631 | − | 0.993175i | \(-0.462790\pi\) |
0.655841 | + | 0.754899i | \(0.272314\pi\) | |||||||
\(464\) | −42.4895 | + | 13.1063i | −1.97253 | + | 0.608443i | ||||
\(465\) | −4.87361 | − | 4.33338i | −0.226008 | − | 0.200956i | ||||
\(466\) | 12.7398 | + | 32.4604i | 0.590158 | + | 1.50370i | ||||
\(467\) | −0.604007 | + | 2.64633i | −0.0279501 | + | 0.122458i | −0.986978 | − | 0.160853i | \(-0.948576\pi\) |
0.959028 | + | 0.283310i | \(0.0914327\pi\) | |||||||
\(468\) | 18.0403 | − | 3.50727i | 0.833913 | − | 0.162124i | ||||
\(469\) | 11.4998 | + | 11.3788i | 0.531009 | + | 0.525425i | ||||
\(470\) | 0.659701 | + | 0.203491i | 0.0304297 | + | 0.00938633i | ||||
\(471\) | −6.67798 | − | 4.34843i | −0.307705 | − | 0.200365i | ||||
\(472\) | −4.04719 | − | 7.00993i | −0.186287 | − | 0.322658i | ||||
\(473\) | −9.20234 | + | 8.53853i | −0.423124 | + | 0.392602i | ||||
\(474\) | 2.63257 | + | 4.34429i | 0.120918 | + | 0.199540i | ||||
\(475\) | 8.12837 | + | 20.7108i | 0.372955 | + | 0.950275i | ||||
\(476\) | 1.52176 | + | 1.50576i | 0.0697498 | + | 0.0690162i | ||||
\(477\) | −21.2453 | + | 0.901729i | −0.972753 | + | 0.0412873i | ||||
\(478\) | −4.57368 | − | 20.0386i | −0.209195 | − | 0.916544i | ||||
\(479\) | 41.2881 | − | 6.22318i | 1.88650 | − | 0.284344i | 0.898522 | − | 0.438928i | \(-0.144642\pi\) |
0.987980 | + | 0.154584i | \(0.0494036\pi\) | |||||||
\(480\) | 3.81497 | − | 6.94376i | 0.174129 | − | 0.316938i | ||||
\(481\) | −27.3899 | − | 4.12837i | −1.24887 | − | 0.188237i | ||||
\(482\) | 34.5893 | + | 23.5826i | 1.57550 | + | 1.07416i | ||||
\(483\) | 1.02603 | − | 11.9425i | 0.0466862 | − | 0.543402i | ||||
\(484\) | −10.3067 | + | 7.02698i | −0.468486 | + | 0.319408i | ||||
\(485\) | −4.15739 | + | 2.00210i | −0.188777 | + | 0.0909105i | ||||
\(486\) | 0.930950 | + | 29.7845i | 0.0422287 | + | 1.35105i | ||||
\(487\) | −23.9226 | + | 11.5205i | −1.08404 | + | 0.522044i | −0.888605 | − | 0.458673i | \(-0.848325\pi\) |
−0.195431 | + | 0.980717i | \(0.562611\pi\) | |||||||
\(488\) | 7.17864 | − | 1.08201i | 0.324962 | − | 0.0489801i | ||||
\(489\) | −6.40386 | + | 3.25301i | −0.289593 | + | 0.147106i | ||||
\(490\) | −8.22140 | + | 0.703593i | −0.371405 | + | 0.0317851i | ||||
\(491\) | 10.9074 | + | 18.8922i | 0.492245 | + | 0.852593i | 0.999960 | − | 0.00893167i | \(-0.00284308\pi\) |
−0.507715 | + | 0.861525i | \(0.669510\pi\) | |||||||
\(492\) | −20.2042 | + | 14.4120i | −0.910878 | + | 0.649745i | ||||
\(493\) | −0.355499 | + | 4.74381i | −0.0160109 | + | 0.213650i | ||||
\(494\) | 7.58637 | − | 33.2381i | 0.341327 | − | 1.49545i | ||||
\(495\) | −0.622693 | + | 3.38389i | −0.0279880 | + | 0.152094i | ||||
\(496\) | −25.1517 | − | 12.1124i | −1.12934 | − | 0.543864i | ||||
\(497\) | 0.280984 | + | 6.57853i | 0.0126039 | + | 0.295088i | ||||
\(498\) | −20.0309 | − | 2.58601i | −0.897608 | − | 0.115882i | ||||
\(499\) | 13.3588 | + | 2.01351i | 0.598021 | + | 0.0901372i | 0.441076 | − | 0.897470i | \(-0.354597\pi\) |
0.156946 | + | 0.987607i | \(0.449835\pi\) | |||||||
\(500\) | 0.733320 | + | 9.78547i | 0.0327951 | + | 0.437620i | ||||
\(501\) | −1.79128 | − | 18.6001i | −0.0800286 | − | 0.830991i | ||||
\(502\) | 4.76014 | + | 1.46831i | 0.212455 | + | 0.0655338i | ||||
\(503\) | 19.3145 | + | 24.2196i | 0.861191 | + | 1.07990i | 0.996029 | + | 0.0890312i | \(0.0283771\pi\) |
−0.134838 | + | 0.990868i | \(0.543051\pi\) | |||||||
\(504\) | 4.36472 | + | 2.91039i | 0.194420 | + | 0.129639i | ||||
\(505\) | −1.72719 | + | 2.16583i | −0.0768589 | + | 0.0963780i | ||||
\(506\) | 7.68387 | − | 5.23877i | 0.341590 | − | 0.232892i | ||||
\(507\) | −1.21821 | + | 0.210129i | −0.0541028 | + | 0.00933216i | ||||
\(508\) | −14.6493 | − | 25.3734i | −0.649959 | − | 1.12576i | ||||
\(509\) | 2.09674 | + | 3.63167i | 0.0929365 | + | 0.160971i | 0.908746 | − | 0.417351i | \(-0.137041\pi\) |
−0.815809 | + | 0.578321i | \(0.803708\pi\) | |||||||
\(510\) | −0.639077 | − | 0.767408i | −0.0282988 | − | 0.0339814i | ||||
\(511\) | −2.34474 | + | 5.45267i | −0.103725 | + | 0.241212i | ||||
\(512\) | 6.20184 | − | 27.1720i | 0.274085 | − | 1.20085i | ||||
\(513\) | 23.1912 | + | 9.40222i | 1.02392 | + | 0.415118i | ||||
\(514\) | 24.2534 | − | 30.4128i | 1.06977 | − | 1.34145i | ||||
\(515\) | 3.17042 | + | 8.07809i | 0.139705 | + | 0.355963i | ||||
\(516\) | 4.70219 | + | 18.7585i | 0.207003 | + | 0.825799i | ||||
\(517\) | −1.04090 | + | 0.321074i | −0.0457786 | + | 0.0141208i | ||||
\(518\) | 22.6250 | + | 30.3190i | 0.994085 | + | 1.33214i | ||||
\(519\) | 4.51636 | − | 0.779024i | 0.198246 | − | 0.0341954i | ||||
\(520\) | −0.754646 | + | 1.30709i | −0.0330934 | + | 0.0573195i | ||||
\(521\) | 6.38370 | 0.279675 | 0.139838 | − | 0.990174i | \(-0.455342\pi\) | ||||
0.139838 | + | 0.990174i | \(0.455342\pi\) | |||||||
\(522\) | −6.52283 | − | 55.3918i | −0.285496 | − | 2.42443i | ||||
\(523\) | −7.46499 | − | 3.59495i | −0.326421 | − | 0.157196i | 0.263495 | − | 0.964661i | \(-0.415125\pi\) |
−0.589916 | + | 0.807465i | \(0.700839\pi\) | |||||||
\(524\) | −3.23460 | − | 8.24163i | −0.141304 | − | 0.360037i | ||||
\(525\) | −21.1691 | − | 0.230844i | −0.923896 | − | 0.0100748i | ||||
\(526\) | −13.6128 | + | 34.6849i | −0.593547 | + | 1.51233i | ||||
\(527\) | −2.18936 | + | 2.03143i | −0.0953701 | + | 0.0884905i | ||||
\(528\) | 1.41189 | + | 14.6606i | 0.0614446 | + | 0.638020i | ||||
\(529\) | −13.3506 | + | 9.10229i | −0.580461 | + | 0.395752i | ||||
\(530\) | −5.20946 | + | 6.53246i | −0.226285 | + | 0.283752i | ||||
\(531\) | 34.6172 | − | 12.3084i | 1.50226 | − | 0.534139i | ||||
\(532\) | −17.7880 | + | 11.3085i | −0.771208 | + | 0.490287i | ||||
\(533\) | 26.5023 | − | 18.0690i | 1.14794 | − | 0.782653i | ||||
\(534\) | −10.4413 | − | 25.0297i | −0.451839 | − | 1.08314i | ||||
\(535\) | −10.8298 | + | 3.34056i | −0.468215 | + | 0.144425i | ||||
\(536\) | −3.33917 | − | 2.27661i | −0.144230 | − | 0.0983346i | ||||
\(537\) | −13.3618 | − | 6.08907i | −0.576605 | − | 0.262763i | ||||
\(538\) | 16.0679 | − | 27.8304i | 0.692737 | − | 1.19986i | ||||
\(539\) | 10.0926 | − | 8.22463i | 0.434719 | − | 0.354260i | ||||
\(540\) | 4.10691 | + | 3.35089i | 0.176733 | + | 0.144199i | ||||
\(541\) | 22.6587 | + | 28.4131i | 0.974173 | + | 1.22157i | 0.975143 | + | 0.221575i | \(0.0711197\pi\) |
−0.000970228 | 1.00000i | \(0.500309\pi\) | ||||||||
\(542\) | 0.612930 | − | 8.17899i | 0.0263276 | − | 0.351318i | ||||
\(543\) | 10.4082 | + | 41.5215i | 0.446658 | + | 1.78186i | ||||
\(544\) | −2.99789 | − | 2.04392i | −0.128533 | − | 0.0876325i | ||||
\(545\) | −0.476497 | − | 6.35841i | −0.0204109 | − | 0.272365i | ||||
\(546\) | 26.6027 | + | 18.5655i | 1.13849 | + | 0.794531i | ||||
\(547\) | −1.05434 | + | 14.0692i | −0.0450803 | + | 0.601555i | 0.928222 | + | 0.372027i | \(0.121337\pi\) |
−0.973302 | + | 0.229528i | \(0.926282\pi\) | |||||||
\(548\) | −15.9544 | + | 20.0062i | −0.681538 | + | 0.854621i | ||||
\(549\) | −1.06684 | + | 32.9345i | −0.0455316 | + | 1.40561i | ||||
\(550\) | −10.2409 | − | 12.8417i | −0.436676 | − | 0.547574i | ||||
\(551\) | −44.7575 | − | 13.8059i | −1.90673 | − | 0.588149i | ||||
\(552\) | 0.287045 | + | 2.98058i | 0.0122175 | + | 0.126862i | ||||
\(553\) | −1.02982 | + | 3.92626i | −0.0437926 | + | 0.166962i | ||||
\(554\) | 8.45982 | + | 1.27511i | 0.359423 | + | 0.0541744i | ||||
\(555\) | −4.14026 | − | 6.83229i | −0.175744 | − | 0.290015i | ||||
\(556\) | 3.04175 | + | 0.938255i | 0.128999 | + | 0.0397909i | ||||
\(557\) | 41.9482 | 1.77740 | 0.888700 | − | 0.458489i | \(-0.151609\pi\) | ||||
0.888700 | + | 0.458489i | \(0.151609\pi\) | |||||||
\(558\) | 20.6520 | − | 28.2784i | 0.874268 | − | 1.19712i | ||||
\(559\) | −5.56185 | − | 24.3681i | −0.235241 | − | 1.03066i | ||||
\(560\) | 7.19460 | − | 1.96861i | 0.304027 | − | 0.0831889i | ||||
\(561\) | 1.51523 | + | 0.432417i | 0.0639732 | + | 0.0182567i | ||||
\(562\) | −7.24228 | + | 2.23395i | −0.305497 | + | 0.0942333i | ||||
\(563\) | 31.3578 | + | 4.72642i | 1.32157 | + | 0.199195i | 0.771664 | − | 0.636030i | \(-0.219425\pi\) |
0.549908 | + | 0.835225i | \(0.314663\pi\) | |||||||
\(564\) | −0.338628 | + | 1.64356i | −0.0142588 | + | 0.0692063i | ||||
\(565\) | −2.93703 | − | 2.72516i | −0.123562 | − | 0.114649i | ||||
\(566\) | 11.4846 | − | 50.3172i | 0.482733 | − | 2.11499i | ||||
\(567\) | −16.5775 | + | 17.0935i | −0.696189 | + | 0.717859i | ||||
\(568\) | −0.366024 | − | 1.60366i | −0.0153580 | − | 0.0672879i | ||||
\(569\) | 6.60127 | − | 11.4337i | 0.276740 | − | 0.479327i | −0.693833 | − | 0.720136i | \(-0.744079\pi\) |
0.970573 | + | 0.240809i | \(0.0774127\pi\) | |||||||
\(570\) | 8.76662 | − | 4.45323i | 0.367193 | − | 0.186525i | ||||
\(571\) | 32.3140 | − | 29.9830i | 1.35230 | − | 1.25475i | 0.413400 | − | 0.910550i | \(-0.364341\pi\) |
0.938897 | − | 0.344198i | \(-0.111849\pi\) | |||||||
\(572\) | 0.851466 | + | 11.3620i | 0.0356016 | + | 0.475070i | ||||
\(573\) | −23.0470 | − | 20.4922i | −0.962801 | − | 0.856076i | ||||
\(574\) | −43.0862 | − | 7.91666i | −1.79838 | − | 0.330435i | ||||
\(575\) | −7.53408 | − | 9.44744i | −0.314193 | − | 0.393986i | ||||
\(576\) | 13.8782 | + | 5.97228i | 0.578259 | + | 0.248845i | ||||
\(577\) | 7.28937 | + | 9.14058i | 0.303460 | + | 0.380527i | 0.910057 | − | 0.414482i | \(-0.136037\pi\) |
−0.606597 | + | 0.795009i | \(0.707466\pi\) | |||||||
\(578\) | 26.4727 | − | 18.0488i | 1.10112 | − | 0.750730i | ||||
\(579\) | 13.6127 | − | 4.51727i | 0.565724 | − | 0.187731i | ||||
\(580\) | −8.19700 | − | 5.58862i | −0.340362 | − | 0.232055i | ||||
\(581\) | −9.65226 | − | 12.9347i | −0.400443 | − | 0.536620i | ||||
\(582\) | −12.8405 | − | 21.1894i | −0.532254 | − | 0.878330i | ||||
\(583\) | 0.985190 | − | 13.1464i | 0.0408024 | − | 0.544470i | ||||
\(584\) | 0.329942 | − | 1.44557i | 0.0136531 | − | 0.0598180i | ||||
\(585\) | −5.21496 | − | 4.44248i | −0.215612 | − | 0.183674i | ||||
\(586\) | 25.8761 | + | 32.4476i | 1.06893 | + | 1.34040i | ||||
\(587\) | −2.26907 | + | 3.93014i | −0.0936543 | + | 0.162214i | −0.909046 | − | 0.416695i | \(-0.863188\pi\) |
0.815392 | + | 0.578909i | \(0.196522\pi\) | |||||||
\(588\) | −3.61800 | − | 19.7277i | −0.149204 | − | 0.813556i | ||||
\(589\) | −14.7032 | − | 25.4667i | −0.605835 | − | 1.04934i | ||||
\(590\) | 5.27413 | − | 13.4383i | 0.217133 | − | 0.553245i | ||||
\(591\) | −2.54151 | + | 3.32942i | −0.104544 | + | 0.136954i | ||||
\(592\) | −25.0685 | − | 23.2602i | −1.03031 | − | 0.955987i | ||||
\(593\) | 7.46111 | − | 3.59308i | 0.306391 | − | 0.147550i | −0.274370 | − | 0.961624i | \(-0.588469\pi\) |
0.580761 | + | 0.814074i | \(0.302755\pi\) | |||||||
\(594\) | −18.4063 | − | 1.58634i | −0.755221 | − | 0.0650884i | ||||
\(595\) | 0.0851557 | − | 0.793456i | 0.00349104 | − | 0.0325285i | ||||
\(596\) | 2.29227 | − | 30.5883i | 0.0938952 | − | 1.25294i | ||||
\(597\) | −3.37817 | + | 16.3962i | −0.138259 | + | 0.671052i | ||||
\(598\) | 1.38374 | + | 18.4647i | 0.0565854 | + | 0.755079i | ||||
\(599\) | −17.6280 | + | 44.9155i | −0.720262 | + | 1.83520i | −0.203487 | + | 0.979078i | \(0.565227\pi\) |
−0.516776 | + | 0.856121i | \(0.672868\pi\) | |||||||
\(600\) | 5.21165 | − | 0.898956i | 0.212765 | − | 0.0366997i | ||||
\(601\) | −28.5079 | + | 4.29687i | −1.16286 | + | 0.175273i | −0.701985 | − | 0.712192i | \(-0.747702\pi\) |
−0.460875 | + | 0.887465i | \(0.652464\pi\) | |||||||
\(602\) | −18.0086 | + | 28.9998i | −0.733978 | + | 1.18194i | ||||
\(603\) | 12.9058 | − | 13.0360i | 0.525567 | − | 0.530869i | ||||
\(604\) | −18.8723 | − | 9.08841i | −0.767902 | − | 0.369802i | ||||
\(605\) | 4.44334 | + | 1.37059i | 0.180647 | + | 0.0557224i | ||||
\(606\) | −12.4647 | − | 8.11648i | −0.506343 | − | 0.329710i | ||||
\(607\) | −8.01122 | − | 13.8758i | −0.325165 | − | 0.563203i | 0.656381 | − | 0.754430i | \(-0.272087\pi\) |
−0.981546 | + | 0.191227i | \(0.938753\pi\) | |||||||
\(608\) | 26.1880 | − | 24.2989i | 1.06207 | − | 0.985452i | ||||
\(609\) | 28.1661 | − | 34.5398i | 1.14135 | − | 1.39962i | ||||
\(610\) | 9.49127 | + | 8.80661i | 0.384290 | + | 0.356569i | ||||
\(611\) | 0.482614 | − | 2.11447i | 0.0195245 | − | 0.0855423i | ||||
\(612\) | 1.70783 | − | 1.72506i | 0.0690349 | − | 0.0697313i | ||||
\(613\) | −12.2193 | + | 15.3225i | −0.493533 | + | 0.618871i | −0.964757 | − | 0.263143i | \(-0.915241\pi\) |
0.471224 | + | 0.882014i | \(0.343812\pi\) | |||||||
\(614\) | 33.2546 | + | 30.8557i | 1.34205 | + | 1.24524i | ||||
\(615\) | 8.89595 | + | 2.53872i | 0.358719 | + | 0.102371i | ||||
\(616\) | −2.10844 | + | 2.47641i | −0.0849515 | + | 0.0997775i | ||||
\(617\) | 7.88432 | − | 7.31558i | 0.317411 | − | 0.294514i | −0.505336 | − | 0.862923i | \(-0.668631\pi\) |
0.822746 | + | 0.568409i | \(0.192441\pi\) | |||||||
\(618\) | −41.5430 | + | 21.1028i | −1.67110 | + | 0.848881i | ||||
\(619\) | 12.0083 | − | 20.7989i | 0.482653 | − | 0.835979i | −0.517149 | − | 0.855896i | \(-0.673007\pi\) |
0.999802 | + | 0.0199162i | \(0.00633996\pi\) | |||||||
\(620\) | −1.38599 | − | 6.07242i | −0.0556627 | − | 0.243874i | ||||
\(621\) | −13.5412 | − | 1.16704i | −0.543390 | − | 0.0468318i | ||||
\(622\) | −28.6321 | + | 35.9035i | −1.14804 | + | 1.43960i | ||||
\(623\) | 8.56101 | − | 19.9085i | 0.342990 | − | 0.797618i | ||||
\(624\) | −26.6850 | − | 12.1605i | −1.06825 | − | 0.486811i | ||||
\(625\) | −14.2512 | + | 13.2232i | −0.570047 | + | 0.528926i | ||||
\(626\) | −10.6072 | + | 27.0267i | −0.423948 | + | 1.08020i | ||||
\(627\) | −7.47060 | + | 13.5975i | −0.298347 | + | 0.543032i | ||||
\(628\) | −2.78061 | − | 7.08488i | −0.110958 | − | 0.282717i | ||||
\(629\) | −3.29632 | + | 1.58742i | −0.131433 | + | 0.0632947i | ||||
\(630\) | 0.795301 | + | 9.32240i | 0.0316855 | + | 0.371413i | ||||
\(631\) | −25.9006 | − | 12.4731i | −1.03109 | − | 0.496546i | −0.159713 | − | 0.987164i | \(-0.551057\pi\) |
−0.871375 | + | 0.490618i | \(0.836771\pi\) | |||||||
\(632\) | 0.0757767 | − | 1.01117i | 0.00301424 | − | 0.0402222i | ||||
\(633\) | 11.7427 | − | 11.3685i | 0.466732 | − | 0.451858i | ||||
\(634\) | 8.73808 | + | 5.95752i | 0.347034 | + | 0.236603i | ||||
\(635\) | −3.99005 | + | 10.1665i | −0.158340 | + | 0.403445i | ||||
\(636\) | −17.0191 | − | 11.0821i | −0.674852 | − | 0.439436i | ||||
\(637\) | 4.13433 | + | 25.5906i | 0.163808 | + | 1.01394i | ||||
\(638\) | 34.5786 | 1.36898 | ||||||||
\(639\) | 7.45944 | − | 0.316607i | 0.295091 | − | 0.0125248i | ||||
\(640\) | −2.89372 | + | 1.39354i | −0.114384 | + | 0.0550846i | ||||
\(641\) | −16.5346 | − | 15.3419i | −0.653079 | − | 0.605968i | 0.282423 | − | 0.959290i | \(-0.408862\pi\) |
−0.935502 | + | 0.353322i | \(0.885052\pi\) | |||||||
\(642\) | −23.4286 | − | 56.1626i | −0.924652 | − | 2.21656i | ||||
\(643\) | −1.34822 | − | 17.9907i | −0.0531685 | − | 0.709485i | −0.958557 | − | 0.284901i | \(-0.908039\pi\) |
0.905388 | − | 0.424584i | \(-0.139580\pi\) | |||||||
\(644\) | 7.42146 | − | 8.71667i | 0.292446 | − | 0.343485i | ||||
\(645\) | 4.37409 | − | 5.73014i | 0.172230 | − | 0.225624i | ||||
\(646\) | −1.64517 | − | 4.19183i | −0.0647284 | − | 0.164925i | ||||
\(647\) | −10.1263 | − | 4.87658i | −0.398106 | − | 0.191718i | 0.224109 | − | 0.974564i | \(-0.428053\pi\) |
−0.622215 | + | 0.782846i | \(0.713767\pi\) | |||||||
\(648\) | 3.30139 | − | 4.94824i | 0.129691 | − | 0.194385i | ||||
\(649\) | 5.06856 | + | 22.2068i | 0.198958 | + | 0.871693i | ||||
\(650\) | 32.3383 | − | 4.87422i | 1.26841 | − | 0.191183i | ||||
\(651\) | 27.7124 | − | 3.86842i | 1.08614 | − | 0.151615i | ||||
\(652\) | −6.78346 | − | 1.02244i | −0.265661 | − | 0.0400419i | ||||
\(653\) | −0.163850 | − | 2.18643i | −0.00641196 | − | 0.0855616i | 0.993080 | − | 0.117442i | \(-0.0374695\pi\) |
−0.999492 | + | 0.0318805i | \(0.989850\pi\) | |||||||
\(654\) | 33.7384 | − | 5.81953i | 1.31928 | − | 0.227562i | ||||
\(655\) | −1.65015 | + | 2.85815i | −0.0644768 | + | 0.111677i | ||||
\(656\) | 39.6006 | 1.54615 | ||||||||
\(657\) | 6.18203 | + | 2.66034i | 0.241184 | + | 0.103790i | ||||
\(658\) | −2.49971 | + | 1.58917i | −0.0974490 | + | 0.0619522i | ||||
\(659\) | −24.9644 | − | 23.1636i | −0.972475 | − | 0.902325i | 0.0227691 | − | 0.999741i | \(-0.492752\pi\) |
−0.995244 | + | 0.0974162i | \(0.968942\pi\) | |||||||
\(660\) | −2.36098 | + | 2.28574i | −0.0919009 | + | 0.0889721i | ||||
\(661\) | 49.7138 | + | 7.49315i | 1.93364 | + | 0.291450i | 0.998092 | − | 0.0617407i | \(-0.0196652\pi\) |
0.935551 | + | 0.353191i | \(0.114903\pi\) | |||||||
\(662\) | −30.1953 | − | 4.55121i | −1.17357 | − | 0.176888i | ||||
\(663\) | −2.25408 | + | 2.18225i | −0.0875413 | + | 0.0847515i | ||||
\(664\) | 2.95548 | + | 2.74229i | 0.114695 | + | 0.106421i | ||||
\(665\) | 7.42991 | + | 2.55583i | 0.288119 | + | 0.0991109i | ||||
\(666\) | 34.3854 | − | 25.6451i | 1.33241 | − | 0.993727i | ||||
\(667\) | 25.4389 | 0.984997 | ||||||||
\(668\) | 8.92339 | − | 15.4558i | 0.345256 | − | 0.598002i | ||||
\(669\) | −18.6082 | + | 3.20972i | −0.719434 | + | 0.124095i | ||||
\(670\) | −0.538640 | − | 7.18765i | −0.0208095 | − | 0.277683i | ||||
\(671\) | −20.2010 | − | 3.04481i | −0.779850 | − | 0.117544i | ||||
\(672\) | 12.0733 | + | 31.7769i | 0.465738 | + | 1.22582i | ||||
\(673\) | 48.4940 | − | 7.30929i | 1.86931 | − | 0.281752i | 0.885996 | − | 0.463694i | \(-0.153476\pi\) |
0.983309 | + | 0.181941i | \(0.0582380\pi\) | |||||||
\(674\) | 4.00944 | + | 17.5665i | 0.154438 | + | 0.676636i | ||||
\(675\) | −0.268185 | + | 24.0034i | −0.0103225 | + | 0.923893i | ||||
\(676\) | −1.06375 | − | 0.512275i | −0.0409135 | − | 0.0197029i | ||||
\(677\) | −5.69910 | − | 14.5211i | −0.219034 | − | 0.558090i | 0.778548 | − | 0.627585i | \(-0.215956\pi\) |
−0.997582 | + | 0.0694951i | \(0.977861\pi\) | |||||||
\(678\) | 13.0534 | − | 17.1002i | 0.501312 | − | 0.656729i | ||||
\(679\) | 5.02300 | − | 19.1505i | 0.192765 | − | 0.734928i | ||||
\(680\) | 0.0148977 | + | 0.198796i | 0.000571300 | + | 0.00762347i | ||||
\(681\) | 11.1355 | + | 26.6939i | 0.426714 | + | 1.02291i | ||||
\(682\) | 15.9141 | + | 14.7661i | 0.609382 | + | 0.565424i | ||||
\(683\) | −39.1683 | + | 18.8625i | −1.49873 | + | 0.721753i | −0.990248 | − | 0.139317i | \(-0.955509\pi\) |
−0.508487 | + | 0.861070i | \(0.669795\pi\) | |||||||
\(684\) | 12.8173 | + | 20.1731i | 0.490081 | + | 0.771339i | ||||
\(685\) | 9.53856 | 0.364450 | ||||||||
\(686\) | 20.5689 | − | 28.8154i | 0.785325 | − | 1.10018i | ||||
\(687\) | −14.1063 | − | 9.18546i | −0.538190 | − | 0.350447i | ||||
\(688\) | 11.2738 | − | 28.7252i | 0.429811 | − | 1.09514i | ||||
\(689\) | 21.6878 | + | 14.7865i | 0.826238 | + | 0.563319i | ||||
\(690\) | −3.83689 | + | 3.71461i | −0.146068 | + | 0.141413i | ||||
\(691\) | 2.78029 | − | 37.1004i | 0.105767 | − | 1.41137i | −0.651691 | − | 0.758484i | \(-0.725940\pi\) |
0.757459 | − | 0.652883i | \(-0.226441\pi\) | |||||||
\(692\) | 3.94371 | + | 1.89919i | 0.149917 | + | 0.0721963i | ||||
\(693\) | −9.32279 | − | 11.4464i | −0.354143 | − | 0.434813i | ||||
\(694\) | 14.9840 | − | 7.21591i | 0.568784 | − | 0.273912i | ||||
\(695\) | −0.433501 | − | 1.10454i | −0.0164436 | − | 0.0418977i | ||||
\(696\) | −5.36110 | + | 9.75794i | −0.203212 | + | 0.369874i | ||||
\(697\) | 1.54784 | − | 3.94383i | 0.0586286 | − | 0.149383i | ||||
\(698\) | 18.4578 | − | 17.1263i | 0.698636 | − | 0.648240i | ||||
\(699\) | 28.7508 | + | 13.1020i | 1.08746 | + | 0.495562i | ||||
\(700\) | −16.3317 | − | 11.9205i | −0.617282 | − | 0.450554i | ||||
\(701\) | 15.6218 | − | 19.5891i | 0.590026 | − | 0.739870i | −0.393760 | − | 0.919213i | \(-0.628826\pi\) |
0.983786 | + | 0.179344i | \(0.0573974\pi\) | |||||||
\(702\) | 21.0594 | − | 30.1589i | 0.794836 | − | 1.13828i | ||||
\(703\) | −8.01583 | − | 35.1197i | −0.302323 | − | 1.32456i | ||||
\(704\) | −4.68349 | + | 8.11203i | −0.176515 | + | 0.305734i | ||||
\(705\) | 0.557696 | − | 0.283296i | 0.0210041 | − | 0.0106696i | ||||
\(706\) | 4.54680 | − | 4.21881i | 0.171121 | − | 0.158777i | ||||
\(707\) | −2.27140 | − | 11.6667i | −0.0854250 | − | 0.438771i | ||||
\(708\) | 33.7428 | + | 9.62949i | 1.26813 | + | 0.361898i | ||||
\(709\) | 11.6644 | + | 10.8230i | 0.438066 | + | 0.406466i | 0.868134 | − | 0.496331i | \(-0.165320\pi\) |
−0.430067 | + | 0.902797i | \(0.641510\pi\) | |||||||
\(710\) | 1.82910 | − | 2.29362i | 0.0686449 | − | 0.0860780i | ||||
\(711\) | 4.45165 | + | 1.16890i | 0.166950 | + | 0.0438373i | ||||
\(712\) | −1.20467 | + | 5.27799i | −0.0451468 | + | 0.197801i | ||||
\(713\) | 11.7077 | + | 10.8632i | 0.438458 | + | 0.406829i | ||||
\(714\) | 4.28460 | + | 0.0467225i | 0.160347 | + | 0.00174854i | ||||
\(715\) | 3.11343 | − | 2.88884i | 0.116436 | − | 0.108036i | ||||
\(716\) | −7.01212 | − | 12.1454i | −0.262055 | − | 0.453893i | ||||
\(717\) | −15.6063 | − | 10.1622i | −0.582828 | − | 0.379514i | ||||
\(718\) | −19.6532 | − | 6.06222i | −0.733452 | − | 0.226240i | ||||
\(719\) | 6.32834 | + | 3.04757i | 0.236007 | + | 0.113655i | 0.548150 | − | 0.836380i | \(-0.315332\pi\) |
−0.312143 | + | 0.950035i | \(0.601047\pi\) | |||||||
\(720\) | −2.23001 | − | 8.15850i | −0.0831074 | − | 0.304049i | ||||
\(721\) | −35.2086 | − | 12.1115i | −1.31124 | − | 0.451056i | ||||
\(722\) | 7.92745 | − | 1.19487i | 0.295029 | − | 0.0444685i | ||||
\(723\) | 37.3793 | − | 6.44754i | 1.39015 | − | 0.239786i | ||||
\(724\) | −14.9364 | + | 38.0572i | −0.555106 | + | 1.41439i | ||||
\(725\) | −3.35761 | − | 44.8041i | −0.124698 | − | 1.66398i | ||||
\(726\) | −5.03829 | + | 24.4537i | −0.186988 | + | 0.907562i | ||||
\(727\) | 3.63643 | − | 48.5248i | 0.134868 | − | 1.79969i | −0.362331 | − | 0.932050i | \(-0.618019\pi\) |
0.497199 | − | 0.867637i | \(-0.334362\pi\) | |||||||
\(728\) | −2.17108 | − | 6.10095i | −0.0804657 | − | 0.226116i | ||||
\(729\) | 19.3771 | + | 18.8023i | 0.717672 | + | 0.696381i | ||||
\(730\) | 2.38257 | − | 1.14738i | 0.0881828 | − | 0.0424666i | ||||
\(731\) | −2.42010 | − | 2.24552i | −0.0895105 | − | 0.0830537i | ||||
\(732\) | −19.0960 | + | 25.0161i | −0.705808 | + | 0.924622i | ||||
\(733\) | −9.39652 | + | 23.9419i | −0.347068 | + | 0.884316i | 0.645625 | + | 0.763654i | \(0.276597\pi\) |
−0.992694 | + | 0.120662i | \(0.961498\pi\) | |||||||
\(734\) | 24.1488 | + | 41.8270i | 0.891350 | + | 1.54386i | ||||
\(735\) | −4.90851 | + | 5.63940i | −0.181053 | + | 0.208013i | ||||
\(736\) | −9.70140 | + | 16.8033i | −0.357598 | + | 0.619378i | ||||
\(737\) | 7.09077 | + | 8.89154i | 0.261192 | + | 0.327524i | ||||
\(738\) | −8.98974 | + | 48.8528i | −0.330917 | + | 1.79829i | ||||
\(739\) | −3.73880 | + | 16.3807i | −0.137534 | + | 0.602575i | 0.858439 | + | 0.512916i | \(0.171435\pi\) |
−0.995973 | + | 0.0896591i | \(0.971422\pi\) | |||||||
\(740\) | 0.570192 | − | 7.60868i | 0.0209607 | − | 0.279701i | ||||
\(741\) | −16.0091 | − | 26.4184i | −0.588109 | − | 0.970503i | ||||
\(742\) | −6.85090 | − | 35.1885i | −0.251504 | − | 1.29181i | ||||
\(743\) | 0.328202 | + | 0.223764i | 0.0120406 | + | 0.00820911i | 0.569325 | − | 0.822112i | \(-0.307204\pi\) |
−0.557285 | + | 0.830321i | \(0.688157\pi\) | |||||||
\(744\) | −6.63428 | + | 2.20154i | −0.243224 | + | 0.0807123i | ||||
\(745\) | −9.44732 | + | 6.44107i | −0.346123 | + | 0.235983i | ||||
\(746\) | −14.0292 | − | 17.5920i | −0.513645 | − | 0.644090i | ||||
\(747\) | −14.6695 | + | 10.9407i | −0.536728 | + | 0.400299i | ||||
\(748\) | 0.938320 | + | 1.17662i | 0.0343084 | + | 0.0430213i | ||||
\(749\) | 19.2095 | − | 44.6715i | 0.701900 | − | 1.63226i | ||||
\(750\) | 14.6777 | + | 13.0507i | 0.535954 | + | 0.476545i | ||||
\(751\) | −1.16722 | − | 15.5755i | −0.0425926 | − | 0.568358i | −0.977151 | − | 0.212548i | \(-0.931824\pi\) |
0.934558 | − | 0.355811i | \(-0.115795\pi\) | |||||||
\(752\) | 1.96285 | − | 1.82126i | 0.0715779 | − | 0.0664146i | ||||
\(753\) | 4.02411 | − | 2.04415i | 0.146647 | − | 0.0744931i | ||||
\(754\) | −34.4241 | + | 59.6242i | −1.25365 | + | 2.17139i | ||||
\(755\) | 1.73747 | + | 7.61236i | 0.0632331 | + | 0.277042i | ||||
\(756\) | −22.3702 | + | 4.09644i | −0.813596 | + | 0.148986i | ||||
\(757\) | 5.70669 | − | 25.0026i | 0.207413 | − | 0.908736i | −0.758868 | − | 0.651245i | \(-0.774247\pi\) |
0.966281 | − | 0.257491i | \(-0.0828958\pi\) | |||||||
\(758\) | 8.66739 | + | 8.04216i | 0.314814 | + | 0.292104i | ||||
\(759\) | 1.70038 | − | 8.25294i | 0.0617200 | − | 0.299563i | ||||
\(760\) | −1.94090 | − | 0.292544i | −0.0704040 | − | 0.0106117i | ||||
\(761\) | −43.6008 | + | 13.4491i | −1.58053 | + | 0.487529i | −0.955974 | − | 0.293452i | \(-0.905196\pi\) |
−0.624555 | + | 0.780981i | \(0.714720\pi\) | |||||||
\(762\) | −56.3904 | − | 16.0927i | −2.04281 | − | 0.582976i | ||||
\(763\) | 22.0976 | + | 16.1290i | 0.799986 | + | 0.583909i | ||||
\(764\) | −6.55425 | − | 28.7160i | −0.237124 | − | 1.03891i | ||||
\(765\) | −0.899669 | − | 0.0967986i | −0.0325276 | − | 0.00349976i | ||||
\(766\) | −19.4831 | −0.703952 | ||||||||
\(767\) | −43.3373 | − | 13.3678i | −1.56482 | − | 0.482683i | ||||
\(768\) | −17.9790 | − | 29.6691i | −0.648760 | − | 1.07059i | ||||
\(769\) | 9.55334 | + | 1.43993i | 0.344502 | + | 0.0519254i | 0.319015 | − | 0.947750i | \(-0.396648\pi\) |
0.0254877 | + | 0.999675i | \(0.491886\pi\) | |||||||
\(770\) | −5.79763 | − | 0.186246i | −0.208932 | − | 0.00671184i | ||||
\(771\) | −3.37870 | − | 35.0833i | −0.121681 | − | 1.26349i | ||||
\(772\) | 13.0898 | + | 4.03767i | 0.471112 | + | 0.145319i | ||||
\(773\) | 17.8427 | + | 22.3741i | 0.641758 | + | 0.804739i | 0.991222 | − | 0.132211i | \(-0.0422076\pi\) |
−0.349464 | + | 0.936950i | \(0.613636\pi\) | |||||||
\(774\) | 32.8772 | + | 20.4287i | 1.18175 | + | 0.734294i | ||||
\(775\) | 17.5875 | − | 22.0540i | 0.631761 | − | 0.792203i | ||||
\(776\) | −0.369604 | + | 4.93202i | −0.0132680 | + | 0.177049i | ||||
\(777\) | 33.8363 | + | 5.47798i | 1.21387 | + | 0.196522i | ||||
\(778\) | 3.40339 | + | 45.4151i | 0.122018 | + | 1.62821i | ||||
\(779\) | 34.4661 | + | 23.4986i | 1.23488 | + | 0.841924i | ||||
\(780\) | −1.59089 | − | 6.34657i | −0.0569631 | − | 0.227244i | ||||
\(781\) | −0.345911 | + | 4.61586i | −0.0123777 | + | 0.165169i | ||||
\(782\) | 1.52489 | + | 1.91215i | 0.0545299 | + | 0.0683784i | ||||
\(783\) | −39.1558 | − | 31.9479i | −1.39932 | − | 1.14172i | ||||
\(784\) | −13.5803 | + | 28.9795i | −0.485009 | + | 1.03498i | ||||
\(785\) | −1.41855 | + | 2.45700i | −0.0506301 | + | 0.0876940i | ||||
\(786\) | −16.1253 | − | 7.34840i | −0.575169 | − | 0.262109i | ||||
\(787\) | 16.6803 | + | 11.3724i | 0.594587 | + | 0.405382i | 0.822884 | − | 0.568209i | \(-0.192364\pi\) |
−0.228297 | + | 0.973591i | \(0.573316\pi\) | |||||||
\(788\) | −3.82271 | + | 1.17915i | −0.136179 | + | 0.0420055i | ||||
\(789\) | 12.9979 | + | 31.1583i | 0.462737 | + | 1.10926i | ||||
\(790\) | 1.49422 | − | 1.01874i | 0.0531621 | − | 0.0362453i | ||||
\(791\) | 17.0720 | − | 2.01501i | 0.607012 | − | 0.0716454i | ||||
\(792\) | 2.80735 | + | 2.39150i | 0.0997547 | + | 0.0849783i | ||||
\(793\) | 25.3609 | − | 31.8015i | 0.900591 | − | 1.12931i | ||||
\(794\) | −15.7774 | + | 10.7568i | −0.559917 | + | 0.381745i | ||||
\(795\) | 0.725721 | + | 7.53565i | 0.0257387 | + | 0.267262i | ||||
\(796\) | −11.7205 | + | 10.8750i | −0.415422 | + | 0.385455i | ||||
\(797\) | 9.04263 | − | 23.0403i | 0.320307 | − | 0.816128i | −0.676513 | − | 0.736431i | \(-0.736510\pi\) |
0.996819 | − | 0.0796967i | \(-0.0253952\pi\) | |||||||
\(798\) | −9.83578 | + | 41.0260i | −0.348183 | + | 1.45231i | ||||
\(799\) | −0.104659 | − | 0.266667i | −0.00370257 | − | 0.00943400i | ||||
\(800\) | 30.8752 | + | 14.8687i | 1.09160 | + | 0.525689i | ||||
\(801\) | −22.5715 | − | 9.71332i | −0.797526 | − | 0.343203i | ||||
\(802\) | −17.1910 | −0.607037 | ||||||||
\(803\) | −2.08625 | + | 3.61349i | −0.0736222 | + | 0.127517i | ||||
\(804\) | 17.2650 | − | 2.97803i | 0.608889 | − | 0.105027i | ||||
\(805\) | −4.26521 | − | 0.137018i | −0.150329 | − | 0.00482924i | ||||
\(806\) | −41.3044 | + | 12.7407i | −1.45488 | + | 0.448772i | ||||
\(807\) | −7.07978 | − | 28.2435i | −0.249220 | − | 0.994217i | ||||
\(808\) | 1.08477 | + | 2.76395i | 0.0381621 | + | 0.0972356i | ||||
\(809\) | 18.3681 | − | 23.0329i | 0.645788 | − | 0.809792i | −0.345926 | − | 0.938262i | \(-0.612435\pi\) |
0.991713 | + | 0.128470i | \(0.0410065\pi\) | |||||||
\(810\) | 10.5708 | − | 0.898953i | 0.371422 | − | 0.0315860i | ||||
\(811\) | 3.34636 | − | 14.6614i | 0.117507 | − | 0.514830i | −0.881577 | − | 0.472039i | \(-0.843518\pi\) |
0.999084 | − | 0.0427906i | \(-0.0136248\pi\) | |||||||
\(812\) | 41.0570 | − | 11.2342i | 1.44082 | − | 0.394242i | ||||
\(813\) | −4.75565 | − | 5.71062i | −0.166788 | − | 0.200280i | ||||
\(814\) | 13.2970 | + | 23.0311i | 0.466060 | + | 0.807239i | ||||
\(815\) | 1.27859 | + | 2.21458i | 0.0447871 | + | 0.0775735i | ||||
\(816\) | −3.81702 | + | 0.658396i | −0.133622 | + | 0.0230485i | ||||
\(817\) | 26.8573 | − | 18.3110i | 0.939618 | − | 0.640621i | ||||
\(818\) | −34.8732 | + | 43.7296i | −1.21931 | + | 1.52897i | ||||
\(819\) | 29.0183 | − | 4.68011i | 1.01398 | − | 0.163536i | ||||
\(820\) | 5.50888 | + | 6.90792i | 0.192378 | + | 0.241235i | ||||
\(821\) | −12.2342 | − | 3.77374i | −0.426975 | − | 0.131704i | 0.0738172 | − | 0.997272i | \(-0.476482\pi\) |
−0.500793 | + | 0.865567i | \(0.666958\pi\) | |||||||
\(822\) | 4.90969 | + | 50.9806i | 0.171245 | + | 1.77815i | ||||
\(823\) | 1.86345 | + | 24.8661i | 0.0649560 | + | 0.866777i | 0.930581 | + | 0.366085i | \(0.119302\pi\) |
−0.865625 | + | 0.500692i | \(0.833079\pi\) | |||||||
\(824\) | 9.19750 | + | 1.38630i | 0.320410 | + | 0.0482940i | ||||
\(825\) | −14.7599 | − | 1.90551i | −0.513873 | − | 0.0663414i | ||||
\(826\) | 29.2315 | + | 54.6080i | 1.01710 | + | 1.90006i | ||||
\(827\) | −11.4105 | − | 5.49503i | −0.396783 | − | 0.191081i | 0.224842 | − | 0.974395i | \(-0.427813\pi\) |
−0.621626 | + | 0.783314i | \(0.713528\pi\) | |||||||
\(828\) | −9.88152 | − | 8.41779i | −0.343406 | − | 0.292538i | ||||
\(829\) | 7.10703 | − | 31.1379i | 0.246837 | − | 1.08146i | −0.687811 | − | 0.725890i | \(-0.741428\pi\) |
0.934648 | − | 0.355575i | \(-0.115715\pi\) | |||||||
\(830\) | −0.537352 | + | 7.17046i | −0.0186518 | + | 0.248890i | ||||
\(831\) | 6.31076 | − | 4.50158i | 0.218918 | − | 0.156158i | ||||
\(832\) | −9.32511 | − | 16.1516i | −0.323290 | − | 0.559955i | ||||
\(833\) | 2.35527 | + | 2.48516i | 0.0816054 | + | 0.0861057i | ||||
\(834\) | 5.68030 | − | 2.88546i | 0.196693 | − | 0.0999151i | ||||
\(835\) | −6.57831 | + | 0.991520i | −0.227652 | + | 0.0343130i | ||||
\(836\) | −13.3503 | + | 6.42915i | −0.461729 | + | 0.222357i | ||||
\(837\) | −4.37795 | − | 31.4241i | −0.151324 | − | 1.08618i | ||||
\(838\) | 13.5109 | − | 6.50652i | 0.466727 | − | 0.224764i | ||||
\(839\) | 1.34345 | − | 0.915946i | 0.0463809 | − | 0.0316220i | −0.539908 | − | 0.841724i | \(-0.681541\pi\) |
0.586289 | + | 0.810102i | \(0.300588\pi\) | |||||||
\(840\) | 0.951428 | − | 1.60719i | 0.0328274 | − | 0.0554533i | ||||
\(841\) | 54.1904 | + | 36.9464i | 1.86864 | + | 1.27401i | ||||
\(842\) | 34.2902 | + | 5.16841i | 1.18172 | + | 0.178115i | ||||
\(843\) | −3.30665 | + | 6.01856i | −0.113887 | + | 0.207290i | ||||
\(844\) | 15.4358 | − | 2.32657i | 0.531321 | − | 0.0800837i | ||||
\(845\) | 0.0979339 | + | 0.429077i | 0.00336903 | + | 0.0147607i | ||||
\(846\) | 1.80119 | + | 2.83489i | 0.0619261 | + | 0.0974656i | ||||
\(847\) | −16.8365 | + | 10.7037i | −0.578510 | + | 0.367782i | ||||
\(848\) | 11.8395 | + | 30.1665i | 0.406569 | + | 1.03592i | ||||
\(849\) | −24.2353 | − | 39.9933i | −0.831753 | − | 1.37257i | ||||
\(850\) | 3.16650 | − | 2.93809i | 0.108610 | − | 0.100776i | ||||
\(851\) | 9.78237 | + | 16.9436i | 0.335335 | + | 0.580818i | ||||
\(852\) | 5.97560 | + | 3.89106i | 0.204721 | + | 0.133306i | ||||
\(853\) | −47.9660 | − | 14.7956i | −1.64232 | − | 0.506590i | −0.670424 | − | 0.741979i | \(-0.733888\pi\) |
−0.971901 | + | 0.235388i | \(0.924364\pi\) | |||||||
\(854\) | −55.1698 | + | 6.51167i | −1.88787 | + | 0.222825i | ||||
\(855\) | 2.90030 | − | 8.42394i | 0.0991881 | − | 0.288093i | ||||
\(856\) | −2.70308 | + | 11.8430i | −0.0923893 | + | 0.404784i | ||||
\(857\) | −8.99170 | − | 22.9105i | −0.307151 | − | 0.782607i | −0.998210 | − | 0.0598090i | \(-0.980951\pi\) |
0.691059 | − | 0.722798i | \(-0.257144\pi\) | |||||||
\(858\) | 17.0425 | + | 15.1533i | 0.581820 | + | 0.517326i | ||||
\(859\) | −24.2042 | + | 7.46599i | −0.825835 | + | 0.254736i | −0.678733 | − | 0.734385i | \(-0.737471\pi\) |
−0.147102 | + | 0.989121i | \(0.546995\pi\) | |||||||
\(860\) | 6.57913 | − | 2.02939i | 0.224346 | − | 0.0692017i | ||||
\(861\) | −33.0374 | + | 22.0007i | −1.12591 | + | 0.749782i | ||||
\(862\) | −52.8028 | − | 16.2875i | −1.79847 | − | 0.554755i | ||||
\(863\) | −52.2180 | −1.77752 | −0.888761 | − | 0.458370i | \(-0.848433\pi\) | ||||
−0.888761 | + | 0.458370i | \(0.848433\pi\) | |||||||
\(864\) | 36.0353 | − | 13.6802i | 1.22594 | − | 0.465410i | ||||
\(865\) | −0.363076 | − | 1.59074i | −0.0123450 | − | 0.0540868i | ||||
\(866\) | −17.2905 | + | 11.7885i | −0.587556 | + | 0.400589i | ||||
\(867\) | 5.85820 | − | 28.4332i | 0.198955 | − | 0.965644i | ||||
\(868\) | 23.6930 | + | 12.3623i | 0.804192 | + | 0.419604i | ||||
\(869\) | −1.04248 | + | 2.65620i | −0.0353638 | + | 0.0901056i | ||||
\(870\) | −19.5678 | + | 3.37524i | −0.663410 | + | 0.114431i | ||||
\(871\) | −22.3908 | + | 3.37488i | −0.758685 | + | 0.114353i | ||||
\(872\) | −6.15750 | − | 2.96529i | −0.208519 | − | 0.100418i | ||||
\(873\) | −21.7131 | − | 5.70137i | −0.734876 | − | 0.192962i | ||||
\(874\) | −21.6959 | + | 10.4482i | −0.733875 | + | 0.353415i | ||||
\(875\) | 0.669735 | + | 15.6801i | 0.0226412 | + | 0.530086i | ||||
\(876\) | 3.33125 | + | 5.49726i | 0.112553 | + | 0.185735i | ||||
\(877\) | 18.3009 | + | 12.4773i | 0.617976 | + | 0.421329i | 0.831434 | − | 0.555623i | \(-0.187520\pi\) |
−0.213458 | + | 0.976952i | \(0.568473\pi\) | |||||||
\(878\) | 76.4043 | − | 23.5676i | 2.57852 | − | 0.795369i | ||||
\(879\) | 37.2943 | + | 4.81472i | 1.25790 | + | 0.162396i | ||||
\(880\) | 5.18502 | − | 0.781516i | 0.174787 | − | 0.0263449i | ||||
\(881\) | −14.3624 | −0.483882 | −0.241941 | − | 0.970291i | \(-0.577784\pi\) | ||||
−0.241941 | + | 0.970291i | \(0.577784\pi\) | |||||||
\(882\) | −32.6673 | − | 23.3317i | −1.09997 | − | 0.785620i | ||||
\(883\) | −6.67601 | −0.224666 | −0.112333 | − | 0.993671i | \(-0.535832\pi\) | ||||
−0.112333 | + | 0.993671i | \(0.535832\pi\) | |||||||
\(884\) | −2.96298 | + | 0.446597i | −0.0996557 | + | 0.0150207i | ||||
\(885\) | −5.03588 | − | 12.0719i | −0.169279 | − | 0.405793i | ||||
\(886\) | −70.5545 | + | 21.7632i | −2.37032 | + | 0.731148i | ||||
\(887\) | 16.6296 | + | 11.3379i | 0.558367 | + | 0.380688i | 0.809371 | − | 0.587298i | \(-0.199808\pi\) |
−0.251004 | + | 0.967986i | \(0.580761\pi\) | |||||||
\(888\) | −8.56085 | + | 0.181596i | −0.287283 | + | 0.00609396i | ||||
\(889\) | −22.1146 | − | 41.3127i | −0.741700 | − | 1.38558i | ||||
\(890\) | −8.69912 | + | 4.18928i | −0.291595 | + | 0.140425i | ||||
\(891\) | −12.9818 | + | 10.5676i | −0.434908 | + | 0.354027i | ||||
\(892\) | −16.2488 | − | 7.82500i | −0.544049 | − | 0.262000i | ||||
\(893\) | 2.78907 | − | 0.420385i | 0.0933327 | − | 0.0140676i | ||||
\(894\) | −39.2882 | − | 47.1776i | −1.31399 | − | 1.57785i | ||||
\(895\) | −1.90990 | + | 4.86634i | −0.0638409 | + | 0.162664i | ||||
\(896\) | 3.49622 | − | 13.3295i | 0.116801 | − | 0.445309i | ||||
\(897\) | 12.5378 | + | 11.1480i | 0.418626 | + | 0.372222i | ||||
\(898\) | −24.6353 | + | 16.7960i | −0.822090 | + | 0.560491i | ||||
\(899\) | 13.2142 | + | 57.8953i | 0.440719 | + | 1.93092i | ||||
\(900\) | −13.5216 | + | 18.5148i | −0.450719 | + | 0.617161i | ||||
\(901\) | 3.46704 | 0.115504 | ||||||||
\(902\) | −29.4277 | − | 9.07724i | −0.979834 | − | 0.302239i | ||||
\(903\) | 6.55336 | + | 30.2278i | 0.218082 | + | 1.00592i | ||||
\(904\) | −4.10362 | + | 1.26580i | −0.136484 | + | 0.0420998i | ||||
\(905\) | 14.5627 | − | 4.49200i | 0.484081 | − | 0.149319i | ||||
\(906\) | −39.7913 | + | 13.2045i | −1.32198 | + | 0.438689i | ||||
\(907\) | 12.7367 | + | 32.4526i | 0.422915 | + | 1.07757i | 0.970560 | + | 0.240860i | \(0.0774293\pi\) |
−0.547645 | + | 0.836711i | \(0.684475\pi\) | |||||||
\(908\) | −6.14696 | + | 26.9316i | −0.203994 | + | 0.893757i | ||||
\(909\) | −13.2295 | + | 2.57199i | −0.438794 | + | 0.0853074i | ||||
\(910\) | 6.09286 | − | 9.81149i | 0.201976 | − | 0.325248i | ||||
\(911\) | 9.10498 | + | 2.80852i | 0.301662 | + | 0.0930503i | 0.441891 | − | 0.897069i | \(-0.354308\pi\) |
−0.140229 | + | 0.990119i | \(0.544784\pi\) | |||||||
\(912\) | 2.04282 | − | 38.0825i | 0.0676446 | − | 1.26104i | ||||
\(913\) | −5.67276 | − | 9.82550i | −0.187741 | − | 0.325177i | ||||
\(914\) | −47.5893 | + | 44.1564i | −1.57411 | + | 1.46056i | ||||
\(915\) | 11.7288 | − | 0.248795i | 0.387742 | − | 0.00822492i | ||||
\(916\) | −5.87366 | − | 14.9658i | −0.194071 | − | 0.494485i | ||||
\(917\) | −4.74742 | − | 13.3407i | −0.156774 | − | 0.440549i | ||||
\(918\) | 0.0542804 | − | 4.85827i | 0.00179152 | − | 0.160347i | ||||
\(919\) | 4.70515 | + | 20.6146i | 0.155208 | + | 0.680013i | 0.991322 | + | 0.131456i | \(0.0419653\pi\) |
−0.836114 | + | 0.548556i | \(0.815178\pi\) | |||||||
\(920\) | 1.05414 | − | 0.158887i | 0.0347541 | − | 0.00523834i | ||||
\(921\) | 41.0942 | − | 0.871705i | 1.35410 | − | 0.0287236i | ||||
\(922\) | 26.1207 | + | 3.93706i | 0.860239 | + | 0.129660i | ||||
\(923\) | −7.61481 | − | 5.19169i | −0.250645 | − | 0.170887i | ||||
\(924\) | −0.900282 | − | 14.0707i | −0.0296171 | − | 0.462893i | ||||
\(925\) | 28.5506 | − | 19.4655i | 0.938739 | − | 0.640021i | ||||
\(926\) | 29.9584 | − | 14.4272i | 0.984493 | − | 0.474107i | ||||
\(927\) | −13.7438 | + | 39.9191i | −0.451407 | + | 1.31112i | ||||
\(928\) | −64.9991 | + | 31.3019i | −2.13370 | + | 1.02754i | ||||
\(929\) | −2.74192 | + | 0.413277i | −0.0899593 | + | 0.0135592i | −0.193868 | − | 0.981028i | \(-0.562103\pi\) |
0.103908 | + | 0.994587i | \(0.466865\pi\) | |||||||
\(930\) | −10.4470 | − | 6.80266i | −0.342571 | − | 0.223068i | ||||
\(931\) | −29.0156 | + | 17.1637i | −0.950948 | + | 0.562518i | ||||
\(932\) | 15.0881 | + | 26.1334i | 0.494227 | + | 0.856027i | ||||
\(933\) | 3.98868 | + | 41.4171i | 0.130584 | + | 1.35594i | ||||
\(934\) | −0.387763 | + | 5.17433i | −0.0126880 | + | 0.169309i | ||||
\(935\) | 0.124832 | − | 0.546923i | 0.00408243 | − | 0.0178863i | ||||
\(936\) | −6.91849 | + | 2.45992i | −0.226138 | + | 0.0804051i | ||||
\(937\) | 8.89303 | + | 4.28266i | 0.290523 | + | 0.139908i | 0.573469 | − | 0.819228i | \(-0.305597\pi\) |
−0.282946 | + | 0.959136i | \(0.591312\pi\) | |||||||
\(938\) | 24.9794 | + | 18.2325i | 0.815608 | + | 0.595312i | ||||
\(939\) | 10.1280 | + | 24.2787i | 0.330515 | + | 0.792305i | ||||
\(940\) | 0.590755 | + | 0.0890419i | 0.0192683 | + | 0.00290423i | ||||
\(941\) | 0.556716 | + | 7.42886i | 0.0181484 | + | 0.242174i | 0.998899 | + | 0.0469098i | \(0.0149374\pi\) |
−0.980751 | + | 0.195264i | \(0.937444\pi\) | |||||||
\(942\) | −13.8620 | − | 6.31702i | −0.451649 | − | 0.205820i | ||||
\(943\) | −21.6494 | − | 6.67796i | −0.705002 | − | 0.217464i | ||||
\(944\) | −34.9102 | − | 43.7760i | −1.13623 | − | 1.42479i | ||||
\(945\) | 6.39299 | + | 5.56744i | 0.207964 | + | 0.181109i | ||||
\(946\) | −14.9621 | + | 18.7619i | −0.486459 | + | 0.610001i | ||||
\(947\) | −32.7361 | + | 22.3191i | −1.06378 | + | 0.725272i | −0.962963 | − | 0.269633i | \(-0.913098\pi\) |
−0.100816 | + | 0.994905i | \(0.532145\pi\) | |||||||
\(948\) | 2.81301 | + | 3.37789i | 0.0913624 | + | 0.109709i | ||||
\(949\) | −4.15385 | − | 7.19469i | −0.134840 | − | 0.233549i | ||||
\(950\) | 21.2654 | + | 36.8328i | 0.689942 | + | 1.19501i | ||||
\(951\) | 9.44291 | − | 1.62880i | 0.306207 | − | 0.0528176i | ||||
\(952\) | −0.690881 | − | 0.504273i | −0.0223916 | − | 0.0163436i | ||||
\(953\) | −11.0424 | + | 48.3799i | −0.357698 | + | 1.56718i | 0.401213 | + | 0.915985i | \(0.368589\pi\) |
−0.758911 | + | 0.651194i | \(0.774268\pi\) | |||||||
\(954\) | −39.9021 | + | 7.75750i | −1.29188 | + | 0.251158i | ||||
\(955\) | −6.84563 | + | 8.58415i | −0.221520 | + | 0.277777i | ||||
\(956\) | −6.49823 | − | 16.5572i | −0.210168 | − | 0.535499i | ||||
\(957\) | 22.5099 | − | 21.7925i | 0.727641 | − | 0.704452i | ||||
\(958\) | 76.2721 | − | 23.5268i | 2.46424 | − | 0.760118i | ||||
\(959\) | −26.5311 | + | 31.1614i | −0.856735 | + | 1.00625i | ||||
\(960\) | 1.85853 | − | 5.04770i | 0.0599838 | − | 0.162914i | ||||
\(961\) | −3.14149 | + | 5.44122i | −0.101338 | + | 0.175523i | ||||
\(962\) | −52.9503 | −1.70719 | ||||||||
\(963\) | −50.6469 | − | 21.7951i | −1.63207 | − | 0.702338i | ||||
\(964\) | 32.6398 | + | 15.7185i | 1.05126 | + | 0.506259i | ||||
\(965\) | −1.86552 | − | 4.75326i | −0.0600532 | − | 0.153013i | ||||
\(966\) | −1.46307 | − | 22.8667i | −0.0470736 | − | 0.735725i | ||||
\(967\) | 11.9870 | − | 30.5423i | 0.385475 | − | 0.982175i | −0.598059 | − | 0.801452i | \(-0.704061\pi\) |
0.983534 | − | 0.180723i | \(-0.0578437\pi\) | |||||||
\(968\) | 3.65351 | − | 3.38996i | 0.117428 | − | 0.108957i | ||||
\(969\) | −3.71279 | − | 1.69195i | −0.119272 | − | 0.0543531i | ||||
\(970\) | −7.28813 | + | 4.96896i | −0.234008 | + | 0.159544i | ||||
\(971\) | −20.4240 | + | 25.6109i | −0.655438 | + | 0.821893i | −0.992838 | − | 0.119468i | \(-0.961881\pi\) |
0.337400 | + | 0.941361i | \(0.390453\pi\) | |||||||
\(972\) | 4.63812 | + | 25.3666i | 0.148768 | + | 0.813636i | ||||
\(973\) | 4.81418 | + | 1.65604i | 0.154336 | + | 0.0530902i | ||||
\(974\) | −41.9376 | + | 28.5925i | −1.34377 | + | 0.916164i | ||||
\(975\) | 17.9796 | − | 23.5536i | 0.575808 | − | 0.754320i | ||||
\(976\) | 47.9870 | − | 14.8020i | 1.53603 | − | 0.473801i | ||||
\(977\) | −22.4663 | − | 15.3173i | −0.718762 | − | 0.490044i | 0.147860 | − | 0.989008i | \(-0.452761\pi\) |
−0.866622 | + | 0.498965i | \(0.833714\pi\) | |||||||
\(978\) | −11.1781 | + | 7.97356i | −0.357437 | + | 0.254966i | ||||
\(979\) | 7.61722 | − | 13.1934i | 0.243448 | − | 0.421663i | ||||
\(980\) | −6.94434 | + | 1.66244i | −0.221829 | + | 0.0531046i | ||||
\(981\) | 18.2953 | − | 25.0514i | 0.584124 | − | 0.799830i | ||||
\(982\) | 26.0004 | + | 32.6035i | 0.829707 | + | 1.04042i | ||||
\(983\) | 2.30280 | − | 30.7287i | 0.0734478 | − | 0.980092i | −0.831763 | − | 0.555130i | \(-0.812668\pi\) |
0.905211 | − | 0.424962i | \(-0.139713\pi\) | |||||||
\(984\) | 7.12405 | − | 6.89702i | 0.227107 | − | 0.219869i | ||||
\(985\) | 1.23210 | + | 0.840031i | 0.0392580 | + | 0.0267656i | ||||
\(986\) | 0.679575 | + | 9.06830i | 0.0216421 | + | 0.288794i | ||||
\(987\) | −0.625712 | + | 2.60991i | −0.0199166 | + | 0.0830743i | ||||
\(988\) | 2.20476 | − | 29.4204i | 0.0701426 | − | 0.935988i | ||||
\(989\) | −11.0073 | + | 13.8028i | −0.350013 | + | 0.438902i | ||||
\(990\) | −0.212945 | + | 6.57383i | −0.00676783 | + | 0.208930i | ||||
\(991\) | 27.3681 | + | 34.3185i | 0.869375 | + | 1.09016i | 0.995176 | + | 0.0981064i | \(0.0312786\pi\) |
−0.125801 | + | 0.992056i | \(0.540150\pi\) | |||||||
\(992\) | −43.2814 | − | 13.3505i | −1.37418 | − | 0.423880i | ||||
\(993\) | −22.5248 | + | 16.0673i | −0.714802 | + | 0.509880i | ||||
\(994\) | 2.40543 | + | 12.3551i | 0.0762955 | + | 0.391879i | ||||
\(995\) | 5.89339 | + | 0.888285i | 0.186833 | + | 0.0281605i | ||||
\(996\) | −17.4741 | + | 0.370667i | −0.553688 | + | 0.0117450i | ||||
\(997\) | −39.4026 | − | 12.1541i | −1.24789 | − | 0.384924i | −0.400699 | − | 0.916210i | \(-0.631233\pi\) |
−0.847193 | + | 0.531286i | \(0.821709\pi\) | |||||||
\(998\) | 25.8252 | 0.817483 | ||||||||
\(999\) | 6.22173 | − | 38.3651i | 0.196847 | − | 1.21382i |
(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 | 441.2.ba.a.106.45 | yes | 648 | |
9.4 | even | 3 | inner | 441.2.ba.a.400.10 | yes | 648 | |
49.43 | even | 7 | inner | 441.2.ba.a.43.10 | ✓ | 648 | |
441.337 | even | 21 | inner | 441.2.ba.a.337.45 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.ba.a.43.10 | ✓ | 648 | 49.43 | even | 7 | inner | |
441.2.ba.a.106.45 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.ba.a.337.45 | yes | 648 | 441.337 | even | 21 | inner | |
441.2.ba.a.400.10 | yes | 648 | 9.4 | even | 3 | inner |