Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(67,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 0, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.w (of order \(20\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 127.24 | ||
Character | \(\chi\) | \(=\) | 300.127 |
Dual form | 300.2.w.a.163.24 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.17502 | + | 0.786967i | 0.830868 | + | 0.556470i | ||||
\(3\) | 0.891007 | − | 0.453990i | 0.514423 | − | 0.262112i | ||||
\(4\) | 0.761365 | + | 1.84941i | 0.380683 | + | 0.924706i | ||||
\(5\) | −0.0577937 | − | 2.23532i | −0.0258461 | − | 0.999666i | ||||
\(6\) | 1.40423 | + | 0.167743i | 0.573275 | + | 0.0684808i | ||||
\(7\) | 0.0211854 | − | 0.0211854i | 0.00800734 | − | 0.00800734i | −0.703092 | − | 0.711099i | \(-0.748198\pi\) |
0.711099 | + | 0.703092i | \(0.248198\pi\) | |||||||
\(8\) | −0.560803 | + | 2.77227i | −0.198274 | + | 0.980147i | ||||
\(9\) | 0.587785 | − | 0.809017i | 0.195928 | − | 0.269672i | ||||
\(10\) | 1.69122 | − | 2.67204i | 0.534809 | − | 0.844973i | ||||
\(11\) | 1.52583 | + | 2.10012i | 0.460054 | + | 0.633210i | 0.974520 | − | 0.224301i | \(-0.0720097\pi\) |
−0.514466 | + | 0.857511i | \(0.672010\pi\) | |||||||
\(12\) | 1.51800 | + | 1.30219i | 0.438208 | + | 0.375908i | ||||
\(13\) | 3.59397 | − | 0.569229i | 0.996788 | − | 0.157876i | 0.363336 | − | 0.931658i | \(-0.381638\pi\) |
0.633452 | + | 0.773782i | \(0.281638\pi\) | |||||||
\(14\) | 0.0415656 | − | 0.00822116i | 0.0111089 | − | 0.00219720i | ||||
\(15\) | −1.06631 | − | 1.96545i | −0.275320 | − | 0.507476i | ||||
\(16\) | −2.84065 | + | 2.81616i | −0.710161 | + | 0.704039i | ||||
\(17\) | −1.43409 | + | 2.81456i | −0.347818 | + | 0.682632i | −0.996950 | − | 0.0780444i | \(-0.975132\pi\) |
0.649132 | + | 0.760676i | \(0.275132\pi\) | |||||||
\(18\) | 1.32733 | − | 0.488047i | 0.312855 | − | 0.115034i | ||||
\(19\) | −1.41553 | − | 4.35657i | −0.324746 | − | 0.999465i | −0.971555 | − | 0.236813i | \(-0.923897\pi\) |
0.646809 | − | 0.762652i | \(-0.276103\pi\) | |||||||
\(20\) | 4.09003 | − | 1.80878i | 0.914558 | − | 0.404456i | ||||
\(21\) | 0.00925837 | − | 0.0284943i | 0.00202034 | − | 0.00621797i | ||||
\(22\) | 0.140158 | + | 3.66847i | 0.0298818 | + | 0.782120i | ||||
\(23\) | −5.82595 | − | 0.922739i | −1.21479 | − | 0.192404i | −0.484040 | − | 0.875046i | \(-0.660831\pi\) |
−0.730754 | + | 0.682641i | \(0.760831\pi\) | |||||||
\(24\) | 0.758907 | + | 2.72471i | 0.154911 | + | 0.556180i | ||||
\(25\) | −4.99332 | + | 0.258375i | −0.998664 | + | 0.0516749i | ||||
\(26\) | 4.67097 | + | 2.15948i | 0.916052 | + | 0.423509i | ||||
\(27\) | 0.156434 | − | 0.987688i | 0.0301058 | − | 0.190081i | ||||
\(28\) | 0.0553104 | + | 0.0230507i | 0.0104527 | + | 0.00435618i | ||||
\(29\) | −7.62028 | − | 2.47598i | −1.41505 | − | 0.459778i | −0.501025 | − | 0.865433i | \(-0.667043\pi\) |
−0.914026 | + | 0.405655i | \(0.867043\pi\) | |||||||
\(30\) | 0.293804 | − | 3.14860i | 0.0536410 | − | 0.574853i | ||||
\(31\) | 1.76558 | − | 0.573671i | 0.317107 | − | 0.103034i | −0.146139 | − | 0.989264i | \(-0.546685\pi\) |
0.463246 | + | 0.886230i | \(0.346685\pi\) | |||||||
\(32\) | −5.55405 | + | 1.07356i | −0.981827 | + | 0.189780i | ||||
\(33\) | 2.31296 | + | 1.17851i | 0.402634 | + | 0.205152i | ||||
\(34\) | −3.90006 | + | 2.17860i | −0.668855 | + | 0.373626i | ||||
\(35\) | −0.0485806 | − | 0.0461318i | −0.00821162 | − | 0.00779770i | ||||
\(36\) | 1.94372 | + | 0.471099i | 0.323954 | + | 0.0785165i | ||||
\(37\) | 1.30788 | + | 8.25760i | 0.215013 | + | 1.35754i | 0.825002 | + | 0.565130i | \(0.191174\pi\) |
−0.609988 | + | 0.792410i | \(0.708826\pi\) | |||||||
\(38\) | 1.76519 | − | 6.23305i | 0.286351 | − | 1.01113i | ||||
\(39\) | 2.94383 | − | 2.13882i | 0.471390 | − | 0.342485i | ||||
\(40\) | 6.22933 | + | 1.09336i | 0.984944 | + | 0.172875i | ||||
\(41\) | −0.210898 | − | 0.153226i | −0.0329367 | − | 0.0239299i | 0.571195 | − | 0.820814i | \(-0.306480\pi\) |
−0.604132 | + | 0.796884i | \(0.706480\pi\) | |||||||
\(42\) | 0.0333029 | − | 0.0261955i | 0.00513875 | − | 0.00404205i | ||||
\(43\) | 1.26128 | + | 1.26128i | 0.192343 | + | 0.192343i | 0.796708 | − | 0.604365i | \(-0.206573\pi\) |
−0.604365 | + | 0.796708i | \(0.706573\pi\) | |||||||
\(44\) | −2.72228 | + | 4.42084i | −0.410399 | + | 0.666467i | ||||
\(45\) | −1.84238 | − | 1.26713i | −0.274646 | − | 0.188893i | ||||
\(46\) | −6.11947 | − | 5.66907i | −0.902266 | − | 0.835859i | ||||
\(47\) | −5.36731 | − | 10.5339i | −0.782903 | − | 1.53653i | −0.842737 | − | 0.538325i | \(-0.819057\pi\) |
0.0598348 | − | 0.998208i | \(-0.480943\pi\) | |||||||
\(48\) | −1.25253 | + | 3.79884i | −0.180787 | + | 0.548315i | ||||
\(49\) | 6.99910i | 0.999872i | ||||||||
\(50\) | −6.07061 | − | 3.62598i | −0.858513 | − | 0.512791i | ||||
\(51\) | 3.15886i | 0.442329i | ||||||||
\(52\) | 3.78906 | + | 6.21334i | 0.525449 | + | 0.861635i | ||||
\(53\) | −1.61963 | − | 3.17871i | −0.222474 | − | 0.436629i | 0.752610 | − | 0.658466i | \(-0.228795\pi\) |
−0.975084 | + | 0.221837i | \(0.928795\pi\) | |||||||
\(54\) | 0.961093 | − | 1.03745i | 0.130788 | − | 0.141179i | ||||
\(55\) | 4.60626 | − | 3.53209i | 0.621108 | − | 0.476267i | ||||
\(56\) | 0.0468509 | + | 0.0706126i | 0.00626072 | + | 0.00943601i | ||||
\(57\) | −3.23909 | − | 3.23909i | −0.429028 | − | 0.429028i | ||||
\(58\) | −7.00551 | − | 8.90625i | −0.919868 | − | 1.16945i | ||||
\(59\) | 0.594783 | + | 0.432135i | 0.0774341 | + | 0.0562592i | 0.625829 | − | 0.779960i | \(-0.284761\pi\) |
−0.548395 | + | 0.836220i | \(0.684761\pi\) | |||||||
\(60\) | 2.82307 | − | 3.46847i | 0.364457 | − | 0.447777i | ||||
\(61\) | 3.96742 | − | 2.88250i | 0.507976 | − | 0.369066i | −0.304079 | − | 0.952647i | \(-0.598349\pi\) |
0.812055 | + | 0.583581i | \(0.198349\pi\) | |||||||
\(62\) | 2.52606 | + | 0.715375i | 0.320810 | + | 0.0908527i | ||||
\(63\) | −0.00468689 | − | 0.0295918i | −0.000590492 | − | 0.00372822i | ||||
\(64\) | −7.37100 | − | 3.10940i | −0.921375 | − | 0.388675i | ||||
\(65\) | −1.48012 | − | 8.00078i | −0.183586 | − | 0.992375i | ||||
\(66\) | 1.79033 | + | 3.20500i | 0.220375 | + | 0.394508i | ||||
\(67\) | 2.97451 | + | 1.51559i | 0.363394 | + | 0.185158i | 0.626148 | − | 0.779705i | \(-0.284631\pi\) |
−0.262754 | + | 0.964863i | \(0.584631\pi\) | |||||||
\(68\) | −6.29715 | − | 0.509314i | −0.763642 | − | 0.0617634i | ||||
\(69\) | −5.60987 | + | 1.82276i | −0.675349 | + | 0.219434i | ||||
\(70\) | −0.0207792 | − | 0.0924374i | −0.00248358 | − | 0.0110484i | ||||
\(71\) | 10.8065 | + | 3.51125i | 1.28250 | + | 0.416709i | 0.869459 | − | 0.494005i | \(-0.164468\pi\) |
0.413038 | + | 0.910714i | \(0.364468\pi\) | |||||||
\(72\) | 1.91318 | + | 2.08320i | 0.225471 | + | 0.245508i | ||||
\(73\) | −1.68398 | + | 10.6322i | −0.197094 | + | 1.24441i | 0.668520 | + | 0.743694i | \(0.266928\pi\) |
−0.865614 | + | 0.500711i | \(0.833072\pi\) | |||||||
\(74\) | −4.96167 | + | 10.7321i | −0.576783 | + | 1.24759i | ||||
\(75\) | −4.33178 | + | 2.49713i | −0.500191 | + | 0.288344i | ||||
\(76\) | 6.97935 | − | 5.93485i | 0.800586 | − | 0.680774i | ||||
\(77\) | 0.0768172 | + | 0.0121667i | 0.00875414 | + | 0.00138652i | ||||
\(78\) | 5.14225 | − | 0.196465i | 0.582245 | − | 0.0222453i | ||||
\(79\) | 4.55633 | − | 14.0229i | 0.512627 | − | 1.57770i | −0.274931 | − | 0.961464i | \(-0.588655\pi\) |
0.787558 | − | 0.616240i | \(-0.211345\pi\) | |||||||
\(80\) | 6.45918 | + | 6.18700i | 0.722159 | + | 0.691727i | ||||
\(81\) | −0.309017 | − | 0.951057i | −0.0343352 | − | 0.105673i | ||||
\(82\) | −0.127226 | − | 0.346014i | −0.0140498 | − | 0.0382108i | ||||
\(83\) | −5.86554 | + | 11.5118i | −0.643826 | + | 1.26358i | 0.306366 | + | 0.951914i | \(0.400887\pi\) |
−0.950192 | + | 0.311666i | \(0.899113\pi\) | |||||||
\(84\) | 0.0597467 | − | 0.00457206i | 0.00651890 | − | 0.000498853i | ||||
\(85\) | 6.37433 | + | 3.04299i | 0.691393 | + | 0.330059i | ||||
\(86\) | 0.489447 | + | 2.47461i | 0.0527784 | + | 0.266844i | ||||
\(87\) | −7.91379 | + | 1.25342i | −0.848448 | + | 0.134381i | ||||
\(88\) | −6.67780 | + | 3.05226i | −0.711856 | + | 0.325372i | ||||
\(89\) | −5.58568 | − | 7.68803i | −0.592081 | − | 0.814930i | 0.402874 | − | 0.915256i | \(-0.368011\pi\) |
−0.994955 | + | 0.100326i | \(0.968011\pi\) | |||||||
\(90\) | −1.16765 | − | 2.93881i | −0.123081 | − | 0.309777i | ||||
\(91\) | 0.0640804 | − | 0.0881991i | 0.00671745 | − | 0.00924578i | ||||
\(92\) | −2.72915 | − | 11.4771i | −0.284534 | − | 1.19657i | ||||
\(93\) | 1.31270 | − | 1.31270i | 0.136121 | − | 0.136121i | ||||
\(94\) | 1.98314 | − | 16.6015i | 0.204546 | − | 1.71232i | ||||
\(95\) | −9.65652 | + | 3.41596i | −0.990738 | + | 0.350470i | ||||
\(96\) | −4.46131 | + | 3.47803i | −0.455331 | + | 0.354975i | ||||
\(97\) | 5.72355 | − | 2.91630i | 0.581139 | − | 0.296105i | −0.138602 | − | 0.990348i | \(-0.544261\pi\) |
0.719740 | + | 0.694243i | \(0.244261\pi\) | |||||||
\(98\) | −5.50806 | + | 8.22412i | −0.556398 | + | 0.830761i | ||||
\(99\) | 2.59589 | 0.260897 | ||||||||
\(100\) | −4.27958 | − | 9.03799i | −0.427958 | − | 0.903799i | ||||
\(101\) | 15.7080 | 1.56301 | 0.781505 | − | 0.623900i | \(-0.214453\pi\) | ||||
0.781505 | + | 0.623900i | \(0.214453\pi\) | |||||||
\(102\) | −2.48592 | + | 3.71174i | −0.246142 | + | 0.367517i | ||||
\(103\) | −2.92604 | + | 1.49089i | −0.288311 | + | 0.146902i | −0.592165 | − | 0.805817i | \(-0.701727\pi\) |
0.303854 | + | 0.952719i | \(0.401727\pi\) | |||||||
\(104\) | −0.437451 | + | 10.2827i | −0.0428956 | + | 1.00830i | ||||
\(105\) | −0.0642290 | − | 0.0190486i | −0.00626811 | − | 0.00185896i | ||||
\(106\) | 0.598431 | − | 5.00966i | 0.0581247 | − | 0.486581i | ||||
\(107\) | −8.49218 | + | 8.49218i | −0.820970 | + | 0.820970i | −0.986247 | − | 0.165277i | \(-0.947148\pi\) |
0.165277 | + | 0.986247i | \(0.447148\pi\) | |||||||
\(108\) | 1.94575 | − | 0.462680i | 0.187229 | − | 0.0445214i | ||||
\(109\) | 5.49608 | − | 7.56470i | 0.526429 | − | 0.724567i | −0.460152 | − | 0.887840i | \(-0.652205\pi\) |
0.986581 | + | 0.163273i | \(0.0522051\pi\) | |||||||
\(110\) | 8.19211 | − | 0.525313i | 0.781087 | − | 0.0500866i | ||||
\(111\) | 4.91420 | + | 6.76381i | 0.466435 | + | 0.641993i | ||||
\(112\) | −0.000518830 | 0.119842i | −4.90248e−5 | 0.0113240i | ||||||
\(113\) | 1.12540 | − | 0.178245i | 0.105868 | − | 0.0167679i | −0.103276 | − | 0.994653i | \(-0.532932\pi\) |
0.209144 | + | 0.977885i | \(0.432932\pi\) | |||||||
\(114\) | −1.25695 | − | 6.35507i | −0.117724 | − | 0.595207i | ||||
\(115\) | −1.72592 | + | 13.0762i | −0.160942 | + | 1.21936i | ||||
\(116\) | −1.22271 | − | 15.9782i | −0.113526 | − | 1.48354i | ||||
\(117\) | 1.65197 | − | 3.24217i | 0.152724 | − | 0.299738i | ||||
\(118\) | 0.358808 | + | 0.975844i | 0.0330310 | + | 0.0898337i | ||||
\(119\) | 0.0292459 | + | 0.0900095i | 0.00268096 | + | 0.00825116i | ||||
\(120\) | 6.04675 | − | 1.85387i | 0.551990 | − | 0.169234i | ||||
\(121\) | 1.31683 | − | 4.05278i | 0.119712 | − | 0.368434i | ||||
\(122\) | 6.93025 | − | 0.264778i | 0.627435 | − | 0.0239719i | ||||
\(123\) | −0.257474 | − | 0.0407799i | −0.0232157 | − | 0.00367700i | ||||
\(124\) | 2.40520 | + | 2.82851i | 0.215994 | + | 0.254008i | ||||
\(125\) | 0.866133 | + | 11.1467i | 0.0774693 | + | 0.996995i | ||||
\(126\) | 0.0177806 | − | 0.0384596i | 0.00158402 | − | 0.00342625i | ||||
\(127\) | 1.77224 | − | 11.1895i | 0.157261 | − | 0.992904i | −0.775222 | − | 0.631689i | \(-0.782362\pi\) |
0.932482 | − | 0.361215i | \(-0.117638\pi\) | |||||||
\(128\) | −6.21411 | − | 9.45436i | −0.549255 | − | 0.835655i | ||||
\(129\) | 1.69641 | + | 0.551197i | 0.149361 | + | 0.0485302i | ||||
\(130\) | 4.55718 | − | 10.5659i | 0.399691 | − | 0.926692i | ||||
\(131\) | 9.16360 | − | 2.97743i | 0.800628 | − | 0.260140i | 0.120004 | − | 0.992773i | \(-0.461709\pi\) |
0.680623 | + | 0.732634i | \(0.261709\pi\) | |||||||
\(132\) | −0.418545 | + | 5.17489i | −0.0364297 | + | 0.450416i | ||||
\(133\) | −0.122284 | − | 0.0623070i | −0.0106034 | − | 0.00540270i | ||||
\(134\) | 2.30240 | + | 4.12169i | 0.198897 | + | 0.356060i | ||||
\(135\) | −2.21684 | − | 0.292599i | −0.190795 | − | 0.0251829i | ||||
\(136\) | −6.99849 | − | 5.55411i | −0.600116 | − | 0.476261i | ||||
\(137\) | 0.0445855 | + | 0.281502i | 0.00380919 | + | 0.0240503i | 0.989520 | − | 0.144398i | \(-0.0461245\pi\) |
−0.985711 | + | 0.168448i | \(0.946124\pi\) | |||||||
\(138\) | −8.02619 | − | 2.27300i | −0.683234 | − | 0.193491i | ||||
\(139\) | 5.57303 | − | 4.04904i | 0.472698 | − | 0.343435i | −0.325794 | − | 0.945441i | \(-0.605632\pi\) |
0.798492 | + | 0.602006i | \(0.205632\pi\) | |||||||
\(140\) | 0.0483292 | − | 0.124969i | 0.00408456 | − | 0.0105618i | ||||
\(141\) | −9.56462 | − | 6.94910i | −0.805486 | − | 0.585220i | ||||
\(142\) | 9.93468 | + | 12.6302i | 0.833700 | + | 1.05990i | ||||
\(143\) | 6.67923 | + | 6.67923i | 0.558545 | + | 0.558545i | ||||
\(144\) | 0.608628 | + | 3.95343i | 0.0507190 | + | 0.329452i | ||||
\(145\) | −5.09421 | + | 17.1769i | −0.423051 | + | 1.42646i | ||||
\(146\) | −10.3459 | + | 11.1679i | −0.856233 | + | 0.924259i | ||||
\(147\) | 3.17753 | + | 6.23625i | 0.262078 | + | 0.514357i | ||||
\(148\) | −14.2759 | + | 8.70585i | −1.17347 | + | 0.715616i | ||||
\(149\) | − | 8.23987i | − | 0.675036i | −0.941319 | − | 0.337518i | \(-0.890413\pi\) | ||
0.941319 | − | 0.337518i | \(-0.109587\pi\) | |||||||
\(150\) | −7.05511 | − | 0.474776i | −0.576047 | − | 0.0387653i | ||||
\(151\) | 22.2516i | 1.81081i | 0.424548 | + | 0.905406i | \(0.360433\pi\) | ||||
−0.424548 | + | 0.905406i | \(0.639567\pi\) | |||||||
\(152\) | 12.8714 | − | 1.48107i | 1.04401 | − | 0.120131i | ||||
\(153\) | 1.43409 | + | 2.81456i | 0.115939 | + | 0.227544i | ||||
\(154\) | 0.0806874 | + | 0.0747488i | 0.00650198 | + | 0.00602343i | ||||
\(155\) | −1.38438 | − | 3.91348i | −0.111196 | − | 0.314338i | ||||
\(156\) | 6.19688 | + | 3.81593i | 0.496147 | + | 0.305519i | ||||
\(157\) | 5.82859 | + | 5.82859i | 0.465172 | + | 0.465172i | 0.900346 | − | 0.435174i | \(-0.143313\pi\) |
−0.435174 | + | 0.900346i | \(0.643313\pi\) | |||||||
\(158\) | 16.3894 | − | 12.8916i | 1.30387 | − | 1.02560i | ||||
\(159\) | −2.88621 | − | 2.09695i | −0.228891 | − | 0.166299i | ||||
\(160\) | 2.72073 | + | 12.3530i | 0.215093 | + | 0.976594i | ||||
\(161\) | −0.142974 | + | 0.103877i | −0.0112679 | + | 0.00818662i | ||||
\(162\) | 0.385348 | − | 1.36070i | 0.0302758 | − | 0.106907i | ||||
\(163\) | 3.20813 | + | 20.2553i | 0.251280 | + | 1.58652i | 0.714085 | + | 0.700059i | \(0.246843\pi\) |
−0.462805 | + | 0.886460i | \(0.653157\pi\) | |||||||
\(164\) | 0.122808 | − | 0.506697i | 0.00958969 | − | 0.0395664i | ||||
\(165\) | 2.50068 | − | 5.23831i | 0.194677 | − | 0.407802i | ||||
\(166\) | −15.9515 | + | 8.91062i | −1.23808 | + | 0.691598i | ||||
\(167\) | 10.1310 | + | 5.16198i | 0.783957 | + | 0.399446i | 0.799677 | − | 0.600430i | \(-0.205004\pi\) |
−0.0157198 | + | 0.999876i | \(0.505004\pi\) | |||||||
\(168\) | 0.0738019 | + | 0.0416464i | 0.00569394 | + | 0.00321309i | ||||
\(169\) | 0.228867 | − | 0.0743633i | 0.0176051 | − | 0.00572025i | ||||
\(170\) | 5.09526 | + | 8.59198i | 0.390789 | + | 0.658975i | ||||
\(171\) | −4.35657 | − | 1.41553i | −0.333155 | − | 0.108249i | ||||
\(172\) | −1.37233 | + | 3.29291i | −0.104639 | + | 0.251082i | ||||
\(173\) | −3.10093 | + | 19.5785i | −0.235759 | + | 1.48852i | 0.531429 | + | 0.847103i | \(0.321655\pi\) |
−0.767188 | + | 0.641422i | \(0.778345\pi\) | |||||||
\(174\) | −10.2853 | − | 4.75509i | −0.779727 | − | 0.360483i | ||||
\(175\) | −0.100312 | + | 0.111259i | −0.00758286 | + | 0.00841042i | ||||
\(176\) | −10.2486 | − | 1.66873i | −0.772518 | − | 0.125785i | ||||
\(177\) | 0.726141 | + | 0.115009i | 0.0545801 | + | 0.00864463i | ||||
\(178\) | −0.513085 | − | 13.4294i | −0.0384573 | − | 1.00657i | ||||
\(179\) | −4.56995 | + | 14.0649i | −0.341574 | + | 1.05126i | 0.621818 | + | 0.783162i | \(0.286394\pi\) |
−0.963392 | + | 0.268095i | \(0.913606\pi\) | |||||||
\(180\) | 0.940723 | − | 4.37208i | 0.0701174 | − | 0.325875i | ||||
\(181\) | −4.73402 | − | 14.5698i | −0.351877 | − | 1.08297i | −0.957798 | − | 0.287442i | \(-0.907195\pi\) |
0.605921 | − | 0.795525i | \(-0.292805\pi\) | |||||||
\(182\) | 0.144706 | − | 0.0532070i | 0.0107263 | − | 0.00394396i | ||||
\(183\) | 2.22637 | − | 4.36950i | 0.164578 | − | 0.323002i | ||||
\(184\) | 5.82530 | − | 15.6336i | 0.429446 | − | 1.15253i | ||||
\(185\) | 18.3828 | − | 3.40076i | 1.35153 | − | 0.250029i | ||||
\(186\) | 2.57551 | − | 0.509403i | 0.188845 | − | 0.0373513i | ||||
\(187\) | −8.09910 | + | 1.28277i | −0.592265 | + | 0.0938055i | ||||
\(188\) | 15.3951 | − | 17.9465i | 1.12280 | − | 1.30889i | ||||
\(189\) | −0.0176105 | − | 0.0242387i | −0.00128097 | − | 0.00176311i | ||||
\(190\) | −14.0349 | − | 3.58553i | −1.01820 | − | 0.260122i | ||||
\(191\) | 13.5147 | − | 18.6014i | 0.977888 | − | 1.34595i | 0.0399290 | − | 0.999203i | \(-0.487287\pi\) |
0.937959 | − | 0.346745i | \(-0.112713\pi\) | |||||||
\(192\) | −7.97925 | + | 0.575869i | −0.575853 | + | 0.0415598i | ||||
\(193\) | 8.41078 | − | 8.41078i | 0.605421 | − | 0.605421i | −0.336325 | − | 0.941746i | \(-0.609184\pi\) |
0.941746 | + | 0.336325i | \(0.109184\pi\) | |||||||
\(194\) | 9.02034 | + | 1.07753i | 0.647623 | + | 0.0773621i | ||||
\(195\) | −4.95107 | − | 6.45679i | −0.354554 | − | 0.462380i | ||||
\(196\) | −12.9442 | + | 5.32887i | −0.924587 | + | 0.380634i | ||||
\(197\) | −13.3126 | + | 6.78313i | −0.948486 | + | 0.483278i | −0.858584 | − | 0.512673i | \(-0.828655\pi\) |
−0.0899021 | + | 0.995951i | \(0.528655\pi\) | |||||||
\(198\) | 3.05024 | + | 2.04288i | 0.216771 | + | 0.145181i | ||||
\(199\) | 17.0769 | 1.21055 | 0.605276 | − | 0.796016i | \(-0.293063\pi\) | ||||
0.605276 | + | 0.796016i | \(0.293063\pi\) | |||||||
\(200\) | 2.08398 | − | 13.9877i | 0.147360 | − | 0.989083i | ||||
\(201\) | 3.33837 | 0.235470 | ||||||||
\(202\) | 18.4573 | + | 12.3617i | 1.29865 | + | 0.869767i | ||||
\(203\) | −0.213894 | + | 0.108984i | −0.0150124 | + | 0.00764919i | ||||
\(204\) | −5.84203 | + | 2.40504i | −0.409024 | + | 0.168387i | ||||
\(205\) | −0.330321 | + | 0.480279i | −0.0230706 | + | 0.0335442i | ||||
\(206\) | −4.61145 | − | 0.550863i | −0.321295 | − | 0.0383805i | ||||
\(207\) | −4.17092 | + | 4.17092i | −0.289899 | + | 0.289899i | ||||
\(208\) | −8.60616 | + | 11.7382i | −0.596730 | + | 0.813895i | ||||
\(209\) | 6.98946 | − | 9.62017i | 0.483471 | − | 0.665441i | ||||
\(210\) | −0.0604801 | − | 0.0729288i | −0.00417352 | − | 0.00503256i | ||||
\(211\) | −5.30779 | − | 7.30555i | −0.365404 | − | 0.502935i | 0.586241 | − | 0.810137i | \(-0.300607\pi\) |
−0.951644 | + | 0.307202i | \(0.900607\pi\) | |||||||
\(212\) | 4.64561 | − | 5.41552i | 0.319061 | − | 0.371940i | ||||
\(213\) | 11.2227 | − | 1.77751i | 0.768970 | − | 0.121793i | ||||
\(214\) | −16.6616 | + | 3.29545i | −1.13896 | + | 0.225272i | ||||
\(215\) | 2.74646 | − | 2.89225i | 0.187307 | − | 0.197250i | ||||
\(216\) | 2.65041 | + | 0.987578i | 0.180338 | + | 0.0671962i | ||||
\(217\) | 0.0252511 | − | 0.0495580i | 0.00171415 | − | 0.00336422i | ||||
\(218\) | 12.4112 | − | 4.56348i | 0.840593 | − | 0.309078i | ||||
\(219\) | 3.32649 | + | 10.2379i | 0.224783 | + | 0.691811i | ||||
\(220\) | 10.0393 | + | 5.82966i | 0.676852 | + | 0.393036i | ||||
\(221\) | −3.55195 | + | 10.9318i | −0.238930 | + | 0.735351i | ||||
\(222\) | 0.451404 | + | 11.8150i | 0.0302963 | + | 0.792968i | ||||
\(223\) | −9.74743 | − | 1.54384i | −0.652736 | − | 0.103383i | −0.178721 | − | 0.983900i | \(-0.557196\pi\) |
−0.474015 | + | 0.880517i | \(0.657196\pi\) | |||||||
\(224\) | −0.0949211 | + | 0.140409i | −0.00634218 | + | 0.00938145i | ||||
\(225\) | −2.72597 | + | 4.19155i | −0.181731 | + | 0.279437i | ||||
\(226\) | 1.46264 | + | 0.676207i | 0.0972934 | + | 0.0449806i | ||||
\(227\) | 3.93830 | − | 24.8654i | 0.261394 | − | 1.65038i | −0.412067 | − | 0.911154i | \(-0.635193\pi\) |
0.673461 | − | 0.739223i | \(-0.264807\pi\) | |||||||
\(228\) | 3.52428 | − | 8.45654i | 0.233401 | − | 0.560048i | ||||
\(229\) | 9.35273 | + | 3.03889i | 0.618046 | + | 0.200815i | 0.601272 | − | 0.799044i | \(-0.294661\pi\) |
0.0167733 | + | 0.999859i | \(0.494661\pi\) | |||||||
\(230\) | −12.3185 | + | 14.0066i | −0.812260 | + | 0.923568i | ||||
\(231\) | 0.0739682 | − | 0.0240337i | 0.00486675 | − | 0.00158130i | ||||
\(232\) | 11.1376 | − | 19.7370i | 0.731218 | − | 1.29580i | ||||
\(233\) | −10.0980 | − | 5.14520i | −0.661543 | − | 0.337073i | 0.0907764 | − | 0.995871i | \(-0.471065\pi\) |
−0.752320 | + | 0.658798i | \(0.771065\pi\) | |||||||
\(234\) | 4.49258 | − | 2.50958i | 0.293689 | − | 0.164057i | ||||
\(235\) | −23.2365 | + | 12.6065i | −1.51578 | + | 0.822355i | ||||
\(236\) | −0.346348 | + | 1.42901i | −0.0225454 | + | 0.0930207i | ||||
\(237\) | −2.30656 | − | 14.5631i | −0.149827 | − | 0.945973i | ||||
\(238\) | −0.0364699 | + | 0.128779i | −0.00236399 | + | 0.00834750i | ||||
\(239\) | 16.1051 | − | 11.7010i | 1.04175 | − | 0.756877i | 0.0711251 | − | 0.997467i | \(-0.477341\pi\) |
0.970627 | + | 0.240590i | \(0.0773410\pi\) | |||||||
\(240\) | 8.56401 | + | 2.58025i | 0.552805 | + | 0.166554i | ||||
\(241\) | −14.9844 | − | 10.8868i | −0.965232 | − | 0.701282i | −0.0108717 | − | 0.999941i | \(-0.503461\pi\) |
−0.954360 | + | 0.298659i | \(0.903461\pi\) | |||||||
\(242\) | 4.73671 | − | 3.72581i | 0.304487 | − | 0.239504i | ||||
\(243\) | −0.707107 | − | 0.707107i | −0.0453609 | − | 0.0453609i | ||||
\(244\) | 8.35158 | + | 5.14276i | 0.534655 | + | 0.329231i | ||||
\(245\) | 15.6452 | − | 0.404504i | 0.999538 | − | 0.0258428i | ||||
\(246\) | −0.270446 | − | 0.250541i | −0.0172430 | − | 0.0159739i | ||||
\(247\) | −7.56727 | − | 14.8516i | −0.481494 | − | 0.944985i | ||||
\(248\) | 0.600232 | + | 5.21638i | 0.0381147 | + | 0.331241i | ||||
\(249\) | 12.9200i | 0.818769i | ||||||||
\(250\) | −7.75439 | + | 13.7793i | −0.490431 | + | 0.871480i | ||||
\(251\) | 11.5425i | 0.728554i | 0.931291 | + | 0.364277i | \(0.118684\pi\) | ||||
−0.931291 | + | 0.364277i | \(0.881316\pi\) | |||||||
\(252\) | 0.0511591 | − | 0.0311982i | 0.00322272 | − | 0.00196530i | ||||
\(253\) | −6.95153 | − | 13.6431i | −0.437039 | − | 0.857737i | ||||
\(254\) | 10.8882 | − | 11.7532i | 0.683184 | − | 0.737461i | ||||
\(255\) | 7.06106 | − | 0.182562i | 0.442181 | − | 0.0114325i | ||||
\(256\) | 0.138535 | − | 15.9994i | 0.00865842 | − | 0.999963i | ||||
\(257\) | 7.29636 | + | 7.29636i | 0.455134 | + | 0.455134i | 0.897054 | − | 0.441920i | \(-0.145703\pi\) |
−0.441920 | + | 0.897054i | \(0.645703\pi\) | |||||||
\(258\) | 1.55955 | + | 1.98269i | 0.0970934 | + | 0.123437i | ||||
\(259\) | 0.202649 | + | 0.147233i | 0.0125920 | + | 0.00914860i | ||||
\(260\) | 13.6698 | − | 8.82886i | 0.847766 | − | 0.547543i | ||||
\(261\) | −6.48220 | + | 4.70959i | −0.401238 | + | 0.291517i | ||||
\(262\) | 13.1106 | + | 3.71289i | 0.809976 | + | 0.229383i | ||||
\(263\) | −1.98412 | − | 12.5273i | −0.122346 | − | 0.772464i | −0.970213 | − | 0.242254i | \(-0.922113\pi\) |
0.847866 | − | 0.530210i | \(-0.177887\pi\) | |||||||
\(264\) | −4.56427 | + | 5.75124i | −0.280911 | + | 0.353964i | ||||
\(265\) | −7.01183 | + | 3.80411i | −0.430733 | + | 0.233684i | ||||
\(266\) | −0.0946536 | − | 0.169446i | −0.00580359 | − | 0.0103894i | ||||
\(267\) | −8.46717 | − | 4.31424i | −0.518183 | − | 0.264027i | ||||
\(268\) | −0.538257 | + | 6.65500i | −0.0328793 | + | 0.406519i | ||||
\(269\) | −18.1138 | + | 5.88553i | −1.10442 | + | 0.358847i | −0.803801 | − | 0.594898i | \(-0.797192\pi\) |
−0.300617 | + | 0.953745i | \(0.597192\pi\) | |||||||
\(270\) | −2.37458 | − | 2.08839i | −0.144512 | − | 0.127096i | ||||
\(271\) | −17.6810 | − | 5.74491i | −1.07404 | − | 0.348978i | −0.281983 | − | 0.959419i | \(-0.590992\pi\) |
−0.792062 | + | 0.610441i | \(0.790992\pi\) | |||||||
\(272\) | −3.85250 | − | 12.0338i | −0.233592 | − | 0.729656i | ||||
\(273\) | 0.0170545 | − | 0.107678i | 0.00103219 | − | 0.00651696i | ||||
\(274\) | −0.169143 | + | 0.365859i | −0.0102183 | + | 0.0221023i | ||||
\(275\) | −8.16156 | − | 10.0923i | −0.492161 | − | 0.608591i | ||||
\(276\) | −7.64219 | − | 8.98718i | −0.460006 | − | 0.540964i | ||||
\(277\) | −27.8230 | − | 4.40673i | −1.67172 | − | 0.264774i | −0.752521 | − | 0.658568i | \(-0.771163\pi\) |
−0.919199 | + | 0.393793i | \(0.871163\pi\) | |||||||
\(278\) | 9.73491 | − | 0.371934i | 0.583861 | − | 0.0223071i | ||||
\(279\) | 0.573671 | − | 1.76558i | 0.0343448 | − | 0.105702i | ||||
\(280\) | 0.155134 | − | 0.108808i | 0.00927104 | − | 0.00650251i | ||||
\(281\) | 4.15266 | + | 12.7806i | 0.247727 | + | 0.762425i | 0.995176 | + | 0.0981057i | \(0.0312783\pi\) |
−0.747449 | + | 0.664319i | \(0.768722\pi\) | |||||||
\(282\) | −5.76995 | − | 15.6924i | −0.343595 | − | 0.934469i | ||||
\(283\) | −4.92195 | + | 9.65986i | −0.292579 | + | 0.574219i | −0.989771 | − | 0.142666i | \(-0.954433\pi\) |
0.697192 | + | 0.716885i | \(0.254433\pi\) | |||||||
\(284\) | 1.73396 | + | 22.6590i | 0.102892 | + | 1.34457i | ||||
\(285\) | −7.05321 | + | 7.42761i | −0.417796 | + | 0.439973i | ||||
\(286\) | 2.59192 | + | 13.1046i | 0.153264 | + | 0.774891i | ||||
\(287\) | −0.00771411 | + | 0.00122180i | −0.000455350 | + | 7.21203e-5i | ||||
\(288\) | −2.39606 | + | 5.12434i | −0.141189 | + | 0.301955i | ||||
\(289\) | 4.12720 | + | 5.68061i | 0.242777 | + | 0.334153i | ||||
\(290\) | −19.5035 | + | 16.1743i | −1.14528 | + | 0.949786i | ||||
\(291\) | 3.77575 | − | 5.19688i | 0.221339 | − | 0.304646i | ||||
\(292\) | −20.9454 | + | 4.98063i | −1.22574 | + | 0.291469i | ||||
\(293\) | 0.921753 | − | 0.921753i | 0.0538494 | − | 0.0538494i | −0.679669 | − | 0.733519i | \(-0.737877\pi\) |
0.733519 | + | 0.679669i | \(0.237877\pi\) | |||||||
\(294\) | −1.17405 | + | 9.82835i | −0.0684720 | + | 0.573201i | ||||
\(295\) | 0.931586 | − | 1.35451i | 0.0542390 | − | 0.0788623i | ||||
\(296\) | −23.6258 | − | 1.00510i | −1.37322 | − | 0.0584202i | ||||
\(297\) | 2.31296 | − | 1.17851i | 0.134211 | − | 0.0683841i | ||||
\(298\) | 6.48451 | − | 9.68205i | 0.375637 | − | 0.560866i | ||||
\(299\) | −21.4635 | −1.24127 | ||||||||
\(300\) | −7.91629 | − | 6.11001i | −0.457047 | − | 0.352762i | ||||
\(301\) | 0.0534413 | 0.00308030 | ||||||||
\(302\) | −17.5113 | + | 26.1462i | −1.00766 | + | 1.50454i | ||||
\(303\) | 13.9960 | − | 7.13130i | 0.804048 | − | 0.409683i | ||||
\(304\) | 16.2898 | + | 8.38910i | 0.934284 | + | 0.481148i | ||||
\(305\) | −6.67260 | − | 8.70187i | −0.382072 | − | 0.498267i | ||||
\(306\) | −0.529876 | + | 4.43576i | −0.0302910 | + | 0.253576i | ||||
\(307\) | 15.8559 | − | 15.8559i | 0.904945 | − | 0.904945i | −0.0909141 | − | 0.995859i | \(-0.528979\pi\) |
0.995859 | + | 0.0909141i | \(0.0289789\pi\) | |||||||
\(308\) | 0.0359848 | + | 0.151330i | 0.00205043 | + | 0.00862283i | ||||
\(309\) | −1.93027 | + | 2.65679i | −0.109809 | + | 0.151140i | ||||
\(310\) | 1.45310 | − | 5.68790i | 0.0825306 | − | 0.323051i | ||||
\(311\) | −10.3201 | − | 14.2044i | −0.585200 | − | 0.805458i | 0.409054 | − | 0.912510i | \(-0.365859\pi\) |
−0.994253 | + | 0.107052i | \(0.965859\pi\) | |||||||
\(312\) | 4.27847 | + | 9.36055i | 0.242221 | + | 0.529937i | ||||
\(313\) | −12.9632 | + | 2.05317i | −0.732722 | + | 0.116052i | −0.511636 | − | 0.859202i | \(-0.670960\pi\) |
−0.221086 | + | 0.975254i | \(0.570960\pi\) | |||||||
\(314\) | 2.26183 | + | 11.4356i | 0.127642 | + | 0.645351i | ||||
\(315\) | −0.0658764 | + | 0.0121869i | −0.00371171 | + | 0.000686655i | ||||
\(316\) | 29.4032 | − | 2.25005i | 1.65406 | − | 0.126575i | ||||
\(317\) | −3.09677 | + | 6.07775i | −0.173932 | + | 0.341360i | −0.961472 | − | 0.274903i | \(-0.911354\pi\) |
0.787540 | + | 0.616263i | \(0.211354\pi\) | |||||||
\(318\) | −1.74113 | − | 4.73532i | −0.0976378 | − | 0.265543i | ||||
\(319\) | −6.42738 | − | 19.7814i | −0.359864 | − | 1.10755i | ||||
\(320\) | −6.52451 | + | 16.6563i | −0.364731 | + | 0.931113i | ||||
\(321\) | −3.71122 | + | 11.4220i | −0.207140 | + | 0.637511i | ||||
\(322\) | −0.249745 | + | 0.00954180i | −0.0139177 | + | 0.000531744i | ||||
\(323\) | 14.2918 | + | 2.26360i | 0.795219 | + | 0.125950i | ||||
\(324\) | 1.52362 | − | 1.29560i | 0.0846456 | − | 0.0719778i | ||||
\(325\) | −17.7988 | + | 3.77093i | −0.987298 | + | 0.209174i | ||||
\(326\) | −12.1706 | + | 26.3252i | −0.674069 | + | 1.45802i | ||||
\(327\) | 1.46274 | − | 9.23537i | 0.0808896 | − | 0.510717i | ||||
\(328\) | 0.543057 | − | 0.498736i | 0.0299853 | − | 0.0275381i | ||||
\(329\) | −0.336875 | − | 0.109457i | −0.0185725 | − | 0.00603457i | ||||
\(330\) | 7.06073 | − | 4.18720i | 0.388681 | − | 0.230498i | ||||
\(331\) | −6.17995 | + | 2.00799i | −0.339681 | + | 0.110369i | −0.473890 | − | 0.880584i | \(-0.657151\pi\) |
0.134209 | + | 0.990953i | \(0.457151\pi\) | |||||||
\(332\) | −25.7558 | − | 2.08313i | −1.41353 | − | 0.114327i | ||||
\(333\) | 7.44929 | + | 3.79560i | 0.408218 | + | 0.207998i | ||||
\(334\) | 7.84182 | + | 14.0382i | 0.429085 | + | 0.768136i | ||||
\(335\) | 3.21591 | − | 6.73657i | 0.175704 | − | 0.368058i | ||||
\(336\) | 0.0539447 | + | 0.107015i | 0.00294293 | + | 0.00583816i | ||||
\(337\) | −4.19864 | − | 26.5091i | −0.228714 | − | 1.44405i | −0.788309 | − | 0.615279i | \(-0.789043\pi\) |
0.559595 | − | 0.828766i | \(-0.310957\pi\) | |||||||
\(338\) | 0.327445 | + | 0.0927319i | 0.0178107 | + | 0.00504395i | ||||
\(339\) | 0.921813 | − | 0.669736i | 0.0500660 | − | 0.0363751i | ||||
\(340\) | −0.774546 | + | 14.1056i | −0.0420056 | + | 0.764983i | ||||
\(341\) | 3.89875 | + | 2.83261i | 0.211129 | + | 0.153394i | ||||
\(342\) | −4.00509 | − | 5.09176i | −0.216571 | − | 0.275331i | ||||
\(343\) | 0.296577 | + | 0.296577i | 0.0160136 | + | 0.0160136i | ||||
\(344\) | −4.20393 | + | 2.78927i | −0.226661 | + | 0.150387i | ||||
\(345\) | 4.39866 | + | 12.4345i | 0.236816 | + | 0.669452i | ||||
\(346\) | −19.0513 | + | 20.5649i | −1.02420 | + | 1.10557i | ||||
\(347\) | 5.17054 | + | 10.1478i | 0.277569 | + | 0.544760i | 0.987137 | − | 0.159877i | \(-0.0511098\pi\) |
−0.709568 | + | 0.704637i | \(0.751110\pi\) | |||||||
\(348\) | −8.34338 | − | 13.6816i | −0.447252 | − | 0.733408i | ||||
\(349\) | 3.75104i | 0.200789i | 0.994948 | + | 0.100394i | \(0.0320104\pi\) | ||||
−0.994948 | + | 0.100394i | \(0.967990\pi\) | |||||||
\(350\) | −0.205426 | + | 0.0517904i | −0.0109805 | + | 0.00276831i | ||||
\(351\) | − | 3.63877i | − | 0.194223i | ||||||
\(352\) | −10.7291 | − | 10.0261i | −0.571864 | − | 0.534394i | ||||
\(353\) | −13.7908 | − | 27.0659i | −0.734008 | − | 1.44057i | −0.891486 | − | 0.453049i | \(-0.850336\pi\) |
0.157478 | − | 0.987522i | \(-0.449664\pi\) | |||||||
\(354\) | 0.762724 | + | 0.706588i | 0.0405383 | + | 0.0375547i | ||||
\(355\) | 7.22422 | − | 24.3590i | 0.383422 | − | 1.29284i | ||||
\(356\) | 9.96559 | − | 16.1836i | 0.528175 | − | 0.857730i | ||||
\(357\) | 0.0669217 | + | 0.0669217i | 0.00354187 | + | 0.00354187i | ||||
\(358\) | −16.4384 | + | 12.9302i | −0.868796 | + | 0.683380i | ||||
\(359\) | −1.82816 | − | 1.32824i | −0.0964867 | − | 0.0701017i | 0.538496 | − | 0.842628i | \(-0.318993\pi\) |
−0.634983 | + | 0.772526i | \(0.718993\pi\) | |||||||
\(360\) | 4.54605 | − | 4.39698i | 0.239598 | − | 0.231741i | ||||
\(361\) | −1.60462 | + | 1.16583i | −0.0844538 | + | 0.0613593i | ||||
\(362\) | 5.90338 | − | 20.8454i | 0.310275 | − | 1.09561i | ||||
\(363\) | −0.666621 | − | 4.20888i | −0.0349885 | − | 0.220909i | ||||
\(364\) | 0.211905 | + | 0.0513593i | 0.0111068 | + | 0.00269196i | ||||
\(365\) | 23.8637 | + | 3.14975i | 1.24908 | + | 0.164866i | ||||
\(366\) | 6.05469 | − | 3.38219i | 0.316484 | − | 0.176790i | ||||
\(367\) | 22.5340 | + | 11.4816i | 1.17627 | + | 0.599337i | 0.929169 | − | 0.369654i | \(-0.120524\pi\) |
0.247096 | + | 0.968991i | \(0.420524\pi\) | |||||||
\(368\) | 19.1480 | − | 13.7856i | 0.998160 | − | 0.718624i | ||||
\(369\) | −0.247925 | + | 0.0805557i | −0.0129065 | + | 0.00419356i | ||||
\(370\) | 24.2765 | + | 10.4707i | 1.26208 | + | 0.544345i | ||||
\(371\) | −0.101655 | − | 0.0330297i | −0.00527766 | − | 0.00171481i | ||||
\(372\) | 3.42717 | + | 1.42828i | 0.177690 | + | 0.0740528i | ||||
\(373\) | 2.74365 | − | 17.3227i | 0.142061 | − | 0.896935i | −0.808973 | − | 0.587846i | \(-0.799976\pi\) |
0.951033 | − | 0.309089i | \(-0.100024\pi\) | |||||||
\(374\) | −10.5261 | − | 4.86644i | −0.544294 | − | 0.251637i | ||||
\(375\) | 5.83224 | + | 9.53860i | 0.301176 | + | 0.492571i | ||||
\(376\) | 32.2130 | − | 8.97219i | 1.66126 | − | 0.462705i | ||||
\(377\) | −28.7965 | − | 4.56091i | −1.48309 | − | 0.234899i | ||||
\(378\) | −0.00161765 | − | 0.0423400i | −8.32028e−5 | − | 0.00217773i | ||||
\(379\) | −7.30173 | + | 22.4724i | −0.375065 | + | 1.15433i | 0.568371 | + | 0.822773i | \(0.307574\pi\) |
−0.943435 | + | 0.331557i | \(0.892426\pi\) | |||||||
\(380\) | −13.6696 | − | 15.2581i | −0.701238 | − | 0.782723i | ||||
\(381\) | −3.50084 | − | 10.7745i | −0.179353 | − | 0.551993i | ||||
\(382\) | 30.5188 | − | 11.2215i | 1.56148 | − | 0.574139i | ||||
\(383\) | 2.62572 | − | 5.15327i | 0.134168 | − | 0.263320i | −0.814141 | − | 0.580667i | \(-0.802792\pi\) |
0.948310 | + | 0.317347i | \(0.102792\pi\) | |||||||
\(384\) | −9.82900 | − | 5.60274i | −0.501584 | − | 0.285914i | ||||
\(385\) | 0.0227568 | − | 0.172414i | 0.00115980 | − | 0.00878705i | ||||
\(386\) | 16.5019 | − | 3.26387i | 0.839924 | − | 0.166126i | ||||
\(387\) | 1.76175 | − | 0.279034i | 0.0895549 | − | 0.0141841i | ||||
\(388\) | 9.75115 | + | 8.36484i | 0.495039 | + | 0.424660i | ||||
\(389\) | 12.5726 | + | 17.3047i | 0.637456 | + | 0.877382i | 0.998477 | − | 0.0551754i | \(-0.0175718\pi\) |
−0.361021 | + | 0.932558i | \(0.617572\pi\) | |||||||
\(390\) | −0.736353 | − | 11.4832i | −0.0372867 | − | 0.581475i | ||||
\(391\) | 10.9520 | − | 15.0742i | 0.553869 | − | 0.762335i | ||||
\(392\) | −19.4034 | − | 3.92512i | −0.980021 | − | 0.198248i | ||||
\(393\) | 6.81310 | − | 6.81310i | 0.343676 | − | 0.343676i | ||||
\(394\) | −20.9808 | − | 2.50627i | −1.05700 | − | 0.126264i | ||||
\(395\) | −31.6091 | − | 9.37442i | −1.59043 | − | 0.471678i | ||||
\(396\) | 1.97642 | + | 4.80087i | 0.0993190 | + | 0.241253i | ||||
\(397\) | 6.27013 | − | 3.19479i | 0.314689 | − | 0.160342i | −0.289511 | − | 0.957175i | \(-0.593493\pi\) |
0.604200 | + | 0.796833i | \(0.293493\pi\) | |||||||
\(398\) | 20.0658 | + | 13.4390i | 1.00581 | + | 0.673636i | ||||
\(399\) | −0.137243 | −0.00687074 | ||||||||
\(400\) | 13.4566 | − | 14.7959i | 0.672831 | − | 0.739796i | ||||
\(401\) | 30.8073 | 1.53844 | 0.769221 | − | 0.638983i | \(-0.220645\pi\) | ||||
0.769221 | + | 0.638983i | \(0.220645\pi\) | |||||||
\(402\) | 3.92266 | + | 2.62718i | 0.195645 | + | 0.131032i | ||||
\(403\) | 6.01889 | − | 3.06678i | 0.299822 | − | 0.152767i | ||||
\(404\) | 11.9596 | + | 29.0506i | 0.595010 | + | 1.44532i | ||||
\(405\) | −2.10806 | + | 0.745717i | −0.104750 | + | 0.0370550i | ||||
\(406\) | −0.337097 | − | 0.0402681i | −0.0167299 | − | 0.00199847i | ||||
\(407\) | −15.3464 | + | 15.3464i | −0.760691 | + | 0.760691i | ||||
\(408\) | −8.75722 | − | 1.77150i | −0.433547 | − | 0.0877022i | ||||
\(409\) | −0.908588 | + | 1.25056i | −0.0449268 | + | 0.0618364i | −0.830889 | − | 0.556438i | \(-0.812168\pi\) |
0.785963 | + | 0.618274i | \(0.212168\pi\) | |||||||
\(410\) | −0.766099 | + | 0.304388i | −0.0378349 | + | 0.0150327i | ||||
\(411\) | 0.167525 | + | 0.230578i | 0.00826340 | + | 0.0113736i | ||||
\(412\) | −4.98506 | − | 4.27634i | −0.245596 | − | 0.210680i | ||||
\(413\) | 0.0217557 | − | 0.00344576i | 0.00107053 | − | 0.000169555i | ||||
\(414\) | −8.18331 | + | 1.61856i | −0.402188 | + | 0.0795477i | ||||
\(415\) | 26.0715 | + | 12.4460i | 1.27980 | + | 0.610952i | ||||
\(416\) | −19.3500 | + | 7.01986i | −0.948711 | + | 0.344177i | ||||
\(417\) | 3.12738 | − | 6.13783i | 0.153148 | − | 0.300571i | ||||
\(418\) | 15.7835 | − | 5.80346i | 0.771998 | − | 0.283856i | ||||
\(419\) | 4.92418 | + | 15.1551i | 0.240562 | + | 0.740373i | 0.996335 | + | 0.0855393i | \(0.0272613\pi\) |
−0.755773 | + | 0.654834i | \(0.772739\pi\) | |||||||
\(420\) | −0.0136730 | − | 0.133289i | −0.000667174 | − | 0.00650383i | ||||
\(421\) | 0.995697 | − | 3.06444i | 0.0485273 | − | 0.149352i | −0.923857 | − | 0.382739i | \(-0.874981\pi\) |
0.972384 | + | 0.233387i | \(0.0749809\pi\) | |||||||
\(422\) | −0.487559 | − | 12.7613i | −0.0237340 | − | 0.621209i | ||||
\(423\) | −11.6770 | − | 1.84945i | −0.567753 | − | 0.0899233i | ||||
\(424\) | 9.72054 | − | 2.70743i | 0.472071 | − | 0.131485i | ||||
\(425\) | 6.43366 | − | 14.4245i | 0.312079 | − | 0.699693i | ||||
\(426\) | 14.5858 | + | 6.74332i | 0.706686 | + | 0.326715i | ||||
\(427\) | 0.0229845 | − | 0.145118i | 0.00111230 | − | 0.00702277i | ||||
\(428\) | −22.1712 | − | 9.23988i | −1.07168 | − | 0.446626i | ||||
\(429\) | 8.98354 | + | 2.91893i | 0.433730 | + | 0.140927i | ||||
\(430\) | 5.50326 | − | 1.23709i | 0.265391 | − | 0.0596577i | ||||
\(431\) | −29.8166 | + | 9.68800i | −1.43621 | + | 0.466654i | −0.920715 | − | 0.390235i | \(-0.872394\pi\) |
−0.515499 | + | 0.856890i | \(0.672394\pi\) | |||||||
\(432\) | 2.33711 | + | 3.24622i | 0.112444 | + | 0.156184i | ||||
\(433\) | 25.0873 | + | 12.7826i | 1.20562 | + | 0.614293i | 0.937127 | − | 0.348990i | \(-0.113475\pi\) |
0.268491 | + | 0.963282i | \(0.413475\pi\) | |||||||
\(434\) | 0.0686711 | − | 0.0383601i | 0.00329632 | − | 0.00184134i | ||||
\(435\) | 3.25917 | + | 17.6174i | 0.156265 | + | 0.844691i | ||||
\(436\) | 18.1748 | + | 4.40501i | 0.870414 | + | 0.210962i | ||||
\(437\) | 4.22685 | + | 26.6873i | 0.202198 | + | 1.27663i | ||||
\(438\) | −4.14817 | + | 14.6476i | −0.198207 | + | 0.699889i | ||||
\(439\) | −25.3167 | + | 18.3936i | −1.20830 | + | 0.877881i | −0.995075 | − | 0.0991225i | \(-0.968396\pi\) |
−0.213224 | + | 0.977003i | \(0.568396\pi\) | |||||||
\(440\) | 7.20871 | + | 14.7506i | 0.343662 | + | 0.703208i | ||||
\(441\) | 5.66239 | + | 4.11397i | 0.269638 | + | 0.195903i | ||||
\(442\) | −12.7766 | + | 10.0498i | −0.607720 | + | 0.478022i | ||||
\(443\) | 27.6411 | + | 27.6411i | 1.31327 | + | 1.31327i | 0.918991 | + | 0.394278i | \(0.129005\pi\) |
0.394278 | + | 0.918991i | \(0.370995\pi\) | |||||||
\(444\) | −8.76757 | + | 14.2381i | −0.416090 | + | 0.675710i | ||||
\(445\) | −16.8624 | + | 12.9301i | −0.799354 | + | 0.612946i | ||||
\(446\) | −10.2385 | − | 9.48496i | −0.484808 | − | 0.449126i | ||||
\(447\) | −3.74082 | − | 7.34178i | −0.176935 | − | 0.347254i | ||||
\(448\) | −0.222032 | + | 0.0902838i | −0.0104900 | + | 0.00426551i | ||||
\(449\) | − | 32.7243i | − | 1.54436i | −0.635406 | − | 0.772178i | \(-0.719167\pi\) | ||
0.635406 | − | 0.772178i | \(-0.280833\pi\) | |||||||
\(450\) | −6.50169 | + | 2.77992i | −0.306493 | + | 0.131047i | ||||
\(451\) | − | 0.676707i | − | 0.0318649i | ||||||
\(452\) | 1.18649 | + | 1.94561i | 0.0558076 | + | 0.0915137i | ||||
\(453\) | 10.1020 | + | 19.8263i | 0.474634 | + | 0.931523i | ||||
\(454\) | 24.1959 | − | 26.1182i | 1.13557 | − | 1.22579i | ||||
\(455\) | −0.200857 | − | 0.138143i | −0.00941631 | − | 0.00647624i | ||||
\(456\) | 10.7961 | − | 7.16315i | 0.505576 | − | 0.335445i | ||||
\(457\) | 7.11038 | + | 7.11038i | 0.332610 | + | 0.332610i | 0.853577 | − | 0.520967i | \(-0.174429\pi\) |
−0.520967 | + | 0.853577i | \(0.674429\pi\) | |||||||
\(458\) | 8.59818 | + | 10.9311i | 0.401767 | + | 0.510775i | ||||
\(459\) | 2.55557 | + | 1.85673i | 0.119284 | + | 0.0866647i | ||||
\(460\) | −25.4973 | + | 6.76383i | −1.18882 | + | 0.315365i | ||||
\(461\) | −20.0752 | + | 14.5855i | −0.934994 | + | 0.679313i | −0.947210 | − | 0.320613i | \(-0.896111\pi\) |
0.0122168 | + | 0.999925i | \(0.496111\pi\) | |||||||
\(462\) | 0.105828 | + | 0.0299703i | 0.00492357 | + | 0.00139435i | ||||
\(463\) | −4.64024 | − | 29.2973i | −0.215650 | − | 1.36156i | −0.823413 | − | 0.567443i | \(-0.807933\pi\) |
0.607763 | − | 0.794119i | \(-0.292067\pi\) | |||||||
\(464\) | 28.6193 | − | 14.4265i | 1.32862 | − | 0.669735i | ||||
\(465\) | −3.01017 | − | 2.85844i | −0.139593 | − | 0.132557i | ||||
\(466\) | −7.81632 | − | 13.9925i | −0.362084 | − | 0.648192i | ||||
\(467\) | 35.6038 | + | 18.1410i | 1.64755 | + | 0.839468i | 0.996779 | + | 0.0801913i | \(0.0255531\pi\) |
0.650768 | + | 0.759276i | \(0.274447\pi\) | |||||||
\(468\) | 7.25385 | + | 0.586692i | 0.335309 | + | 0.0271199i | ||||
\(469\) | 0.0951245 | − | 0.0309078i | 0.00439244 | − | 0.00142719i | ||||
\(470\) | −37.2244 | − | 3.47350i | −1.71703 | − | 0.160221i | ||||
\(471\) | 7.83943 | + | 2.54719i | 0.361222 | + | 0.117368i | ||||
\(472\) | −1.53155 | + | 1.40656i | −0.0704954 | + | 0.0647421i | ||||
\(473\) | −0.724343 | + | 4.57332i | −0.0333053 | + | 0.210281i | ||||
\(474\) | 8.75039 | − | 18.9271i | 0.401919 | − | 0.869353i | ||||
\(475\) | 8.19384 | + | 21.3880i | 0.375959 | + | 0.981349i | ||||
\(476\) | −0.144198 | + | 0.122618i | −0.00660930 | + | 0.00562018i | ||||
\(477\) | −3.52362 | − | 0.558087i | −0.161336 | − | 0.0255531i | ||||
\(478\) | 28.1322 | − | 1.07482i | 1.28674 | − | 0.0491613i | ||||
\(479\) | 1.67227 | − | 5.14672i | 0.0764080 | − | 0.235160i | −0.905556 | − | 0.424226i | \(-0.860546\pi\) |
0.981964 | + | 0.189067i | \(0.0605462\pi\) | |||||||
\(480\) | 8.03235 | + | 9.77145i | 0.366625 | + | 0.446004i | ||||
\(481\) | 9.40093 | + | 28.9331i | 0.428645 | + | 1.31923i | ||||
\(482\) | −9.03949 | − | 24.5845i | −0.411738 | − | 1.11979i | ||||
\(483\) | −0.0802316 | + | 0.157463i | −0.00365066 | + | 0.00716483i | ||||
\(484\) | 8.49784 | − | 0.650289i | 0.386265 | − | 0.0295586i | ||||
\(485\) | −6.84964 | − | 12.6254i | −0.311026 | − | 0.573291i | ||||
\(486\) | −0.274398 | − | 1.38734i | −0.0124469 | − | 0.0629309i | ||||
\(487\) | −33.8274 | + | 5.35774i | −1.53287 | + | 0.242782i | −0.865105 | − | 0.501591i | \(-0.832748\pi\) |
−0.667763 | + | 0.744374i | \(0.732748\pi\) | |||||||
\(488\) | 5.76613 | + | 12.6153i | 0.261021 | + | 0.571067i | ||||
\(489\) | 12.0542 | + | 16.5912i | 0.545109 | + | 0.750278i | ||||
\(490\) | 18.7019 | + | 11.8370i | 0.844864 | + | 0.534741i | ||||
\(491\) | 8.94325 | − | 12.3093i | 0.403603 | − | 0.555512i | −0.558041 | − | 0.829814i | \(-0.688447\pi\) |
0.961644 | + | 0.274302i | \(0.0884467\pi\) | |||||||
\(492\) | −0.120613 | − | 0.507224i | −0.00543766 | − | 0.0228674i | ||||
\(493\) | 17.8970 | − | 17.8970i | 0.806040 | − | 0.806040i | ||||
\(494\) | 2.79600 | − | 23.4062i | 0.125798 | − | 1.05309i | ||||
\(495\) | −0.150026 | − | 5.80265i | −0.00674317 | − | 0.260810i | ||||
\(496\) | −3.39984 | + | 6.60174i | −0.152657 | + | 0.296427i | ||||
\(497\) | 0.303328 | − | 0.154553i | 0.0136061 | − | 0.00693266i | ||||
\(498\) | −10.1676 | + | 15.1813i | −0.455620 | + | 0.680289i | ||||
\(499\) | −2.90097 | −0.129865 | −0.0649327 | − | 0.997890i | \(-0.520683\pi\) | ||||
−0.0649327 | + | 0.997890i | \(0.520683\pi\) | |||||||
\(500\) | −19.9555 | + | 10.0886i | −0.892436 | + | 0.451175i | ||||
\(501\) | 11.3702 | 0.507985 | ||||||||
\(502\) | −9.08354 | + | 13.5627i | −0.405418 | + | 0.605332i | ||||
\(503\) | −7.33460 | + | 3.73716i | −0.327034 | + | 0.166632i | −0.609797 | − | 0.792558i | \(-0.708749\pi\) |
0.282763 | + | 0.959190i | \(0.408749\pi\) | |||||||
\(504\) | 0.0846651 | + | 0.00360186i | 0.00377128 | + | 0.000160440i | ||||
\(505\) | −0.907825 | − | 35.1125i | −0.0403977 | − | 1.56249i | ||||
\(506\) | 2.56849 | − | 21.5016i | 0.114183 | − | 0.955865i | ||||
\(507\) | 0.170161 | − | 0.170161i | 0.00755714 | − | 0.00755714i | ||||
\(508\) | 22.0432 | − | 5.24167i | 0.978011 | − | 0.232562i | ||||
\(509\) | 3.84108 | − | 5.28680i | 0.170253 | − | 0.234333i | −0.715361 | − | 0.698755i | \(-0.753738\pi\) |
0.885614 | + | 0.464422i | \(0.153738\pi\) | |||||||
\(510\) | 8.44059 | + | 5.34231i | 0.373756 | + | 0.236561i | ||||
\(511\) | 0.189572 | + | 0.260923i | 0.00838617 | + | 0.0115426i | ||||
\(512\) | 12.7538 | − | 18.6907i | 0.563643 | − | 0.826019i | ||||
\(513\) | −4.52437 | + | 0.716590i | −0.199756 | + | 0.0316382i | ||||
\(514\) | 2.83141 | + | 14.3154i | 0.124888 | + | 0.631425i | ||||
\(515\) | 3.50173 | + | 6.45448i | 0.154305 | + | 0.284418i | ||||
\(516\) | 0.272198 | + | 3.55703i | 0.0119828 | + | 0.156589i | ||||
\(517\) | 13.9330 | − | 27.3450i | 0.612771 | − | 1.20263i | ||||
\(518\) | 0.122250 | + | 0.332480i | 0.00537134 | + | 0.0146083i | ||||
\(519\) | 6.12550 | + | 18.8523i | 0.268880 | + | 0.827526i | ||||
\(520\) | 23.0104 | + | 0.383570i | 1.00907 | + | 0.0168207i | ||||
\(521\) | −5.29421 | + | 16.2939i | −0.231944 | + | 0.713849i | 0.765569 | + | 0.643354i | \(0.222458\pi\) |
−0.997512 | + | 0.0704945i | \(0.977542\pi\) | |||||||
\(522\) | −11.3230 | + | 0.432610i | −0.495596 | + | 0.0189348i | ||||
\(523\) | 6.28174 | + | 0.994930i | 0.274681 | + | 0.0435053i | 0.292255 | − | 0.956340i | \(-0.405594\pi\) |
−0.0175740 | + | 0.999846i | \(0.505594\pi\) | |||||||
\(524\) | 12.4833 | + | 14.6804i | 0.545338 | + | 0.641314i | ||||
\(525\) | −0.0388678 | + | 0.144673i | −0.00169633 | + | 0.00631407i | ||||
\(526\) | 7.52715 | − | 16.2813i | 0.328199 | − | 0.709898i | ||||
\(527\) | −0.917367 | + | 5.79203i | −0.0399611 | + | 0.252305i | ||||
\(528\) | −9.88916 | + | 3.16592i | −0.430370 | + | 0.137779i | ||||
\(529\) | 11.2159 | + | 3.64427i | 0.487648 | + | 0.158447i | ||||
\(530\) | −11.2328 | − | 1.04816i | −0.487921 | − | 0.0455291i | ||||
\(531\) | 0.699209 | − | 0.227187i | 0.0303431 | − | 0.00985907i | ||||
\(532\) | 0.0221282 | − | 0.273593i | 0.000959379 | − | 0.0118617i | ||||
\(533\) | −0.845180 | − | 0.430641i | −0.0366088 | − | 0.0186531i | ||||
\(534\) | −6.55397 | − | 11.7327i | −0.283618 | − | 0.507725i | ||||
\(535\) | 19.4735 | + | 18.4919i | 0.841914 | + | 0.799477i | ||||
\(536\) | −5.86973 | + | 7.39620i | −0.253534 | + | 0.319467i | ||||
\(537\) | 2.31346 | + | 14.6066i | 0.0998331 | + | 0.630321i | ||||
\(538\) | −25.9159 | − | 7.33932i | −1.11731 | − | 0.316421i | ||||
\(539\) | −14.6990 | + | 10.6794i | −0.633129 | + | 0.459995i | ||||
\(540\) | −1.14669 | − | 4.32263i | −0.0493457 | − | 0.186016i | ||||
\(541\) | −22.6575 | − | 16.4616i | −0.974122 | − | 0.707741i | −0.0177348 | − | 0.999843i | \(-0.505645\pi\) |
−0.956387 | + | 0.292102i | \(0.905645\pi\) | |||||||
\(542\) | −16.2546 | − | 20.6648i | −0.698193 | − | 0.887628i | ||||
\(543\) | −10.8326 | − | 10.8326i | −0.464872 | − | 0.464872i | ||||
\(544\) | 4.94342 | − | 17.1718i | 0.211947 | − | 0.736235i | ||||
\(545\) | −17.2272 | − | 11.8483i | −0.737931 | − | 0.507526i | ||||
\(546\) | 0.104778 | − | 0.113103i | 0.00448410 | − | 0.00484035i | ||||
\(547\) | 1.24110 | + | 2.43580i | 0.0530657 | + | 0.104147i | 0.916016 | − | 0.401141i | \(-0.131386\pi\) |
−0.862951 | + | 0.505288i | \(0.831386\pi\) | |||||||
\(548\) | −0.486666 | + | 0.296782i | −0.0207894 | + | 0.0126779i | ||||
\(549\) | − | 4.90400i | − | 0.209298i | ||||||
\(550\) | −1.64769 | − | 18.2816i | −0.0702579 | − | 0.779531i | ||||
\(551\) | 36.7031i | 1.56361i | ||||||||
\(552\) | −1.90715 | − | 16.5743i | −0.0811737 | − | 0.705449i | ||||
\(553\) | −0.200554 | − | 0.393610i | −0.00852843 | − | 0.0167380i | ||||
\(554\) | −29.2247 | − | 27.0738i | −1.24164 | − | 1.15025i | ||||
\(555\) | 14.8353 | − | 11.3757i | 0.629723 | − | 0.482872i | ||||
\(556\) | 11.7315 | + | 7.22402i | 0.497525 | + | 0.306367i | ||||
\(557\) | 14.0130 | + | 14.0130i | 0.593751 | + | 0.593751i | 0.938643 | − | 0.344891i | \(-0.112084\pi\) |
−0.344891 | + | 0.938643i | \(0.612084\pi\) | |||||||
\(558\) | 2.06353 | − | 1.62314i | 0.0873562 | − | 0.0687129i | ||||
\(559\) | 5.25094 | + | 3.81503i | 0.222091 | + | 0.161359i | ||||
\(560\) | 0.267915 | − | 0.00576634i | 0.0113215 | − | 0.000243672i | ||||
\(561\) | −6.63398 | + | 4.81987i | −0.280087 | + | 0.203495i | ||||
\(562\) | −5.17841 | + | 18.2855i | −0.218438 | + | 0.771327i | ||||
\(563\) | −2.73526 | − | 17.2697i | −0.115277 | − | 0.727832i | −0.975840 | − | 0.218487i | \(-0.929888\pi\) |
0.860562 | − | 0.509345i | \(-0.170112\pi\) | |||||||
\(564\) | 5.56958 | − | 22.9797i | 0.234522 | − | 0.967621i | ||||
\(565\) | −0.463476 | − | 2.50532i | −0.0194986 | − | 0.105400i | ||||
\(566\) | −13.3854 | + | 7.47717i | −0.562630 | + | 0.314289i | ||||
\(567\) | −0.0266952 | − | 0.0136019i | −0.00112109 | − | 0.000571225i | ||||
\(568\) | −15.7945 | + | 27.9895i | −0.662721 | + | 1.17441i | ||||
\(569\) | 27.6880 | − | 8.99636i | 1.16074 | − | 0.377147i | 0.335561 | − | 0.942019i | \(-0.391074\pi\) |
0.825179 | + | 0.564871i | \(0.191074\pi\) | |||||||
\(570\) | −14.1330 | + | 3.17698i | −0.591965 | + | 0.133069i | ||||
\(571\) | −1.78586 | − | 0.580261i | −0.0747358 | − | 0.0242831i | 0.271410 | − | 0.962464i | \(-0.412510\pi\) |
−0.346146 | + | 0.938181i | \(0.612510\pi\) | |||||||
\(572\) | −7.26731 | + | 17.4380i | −0.303861 | + | 0.729118i | ||||
\(573\) | 3.59683 | − | 22.7095i | 0.150260 | − | 0.948702i | ||||
\(574\) | −0.0100258 | − | 0.00463511i | −0.000418468 | − | 0.000193466i | ||||
\(575\) | 29.3292 | + | 3.10226i | 1.22311 | + | 0.129373i | ||||
\(576\) | −6.84812 | + | 4.13561i | −0.285338 | + | 0.172317i | ||||
\(577\) | 25.2103 | + | 3.99292i | 1.04952 | + | 0.166227i | 0.657288 | − | 0.753639i | \(-0.271703\pi\) |
0.392231 | + | 0.919867i | \(0.371703\pi\) | |||||||
\(578\) | 0.379113 | + | 9.92283i | 0.0157690 | + | 0.412735i | ||||
\(579\) | 3.67565 | − | 11.3125i | 0.152755 | − | 0.470130i | ||||
\(580\) | −35.6457 | + | 3.65659i | −1.48011 | + | 0.151832i | ||||
\(581\) | 0.119618 | + | 0.368145i | 0.00496258 | + | 0.0152732i | ||||
\(582\) | 8.52637 | − | 3.13507i | 0.353430 | − | 0.129953i | ||||
\(583\) | 4.20439 | − | 8.25158i | 0.174128 | − | 0.341746i | ||||
\(584\) | −28.5310 | − | 10.6310i | −1.18062 | − | 0.439914i | ||||
\(585\) | −7.34276 | − | 3.50530i | −0.303586 | − | 0.144926i | ||||
\(586\) | 1.80847 | − | 0.357693i | 0.0747073 | − | 0.0147762i | ||||
\(587\) | 13.7586 | − | 2.17915i | 0.567879 | − | 0.0899432i | 0.134109 | − | 0.990967i | \(-0.457183\pi\) |
0.433771 | + | 0.901023i | \(0.357183\pi\) | |||||||
\(588\) | −9.11413 | + | 10.6246i | −0.375860 | + | 0.438152i | ||||
\(589\) | −4.99848 | − | 6.87981i | −0.205959 | − | 0.283478i | ||||
\(590\) | 2.16059 | − | 0.858449i | 0.0889500 | − | 0.0353418i | ||||
\(591\) | −8.78217 | + | 12.0876i | −0.361250 | + | 0.497218i | ||||
\(592\) | −26.9699 | − | 19.7737i | −1.10846 | − | 0.812695i | ||||
\(593\) | −30.4927 | + | 30.4927i | −1.25219 | + | 1.25219i | −0.297448 | + | 0.954738i | \(0.596136\pi\) |
−0.954738 | + | 0.297448i | \(0.903864\pi\) | |||||||
\(594\) | 3.64523 | + | 0.435443i | 0.149566 | + | 0.0178664i | ||||
\(595\) | 0.199510 | − | 0.0705759i | 0.00817911 | − | 0.00289333i | ||||
\(596\) | 15.2389 | − | 6.27355i | 0.624210 | − | 0.256975i | ||||
\(597\) | 15.2157 | − | 7.75277i | 0.622736 | − | 0.317300i | ||||
\(598\) | −25.2202 | − | 16.8911i | −1.03133 | − | 0.690728i | ||||
\(599\) | −20.9517 | −0.856063 | −0.428032 | − | 0.903764i | \(-0.640793\pi\) | ||||
−0.428032 | + | 0.903764i | \(0.640793\pi\) | |||||||
\(600\) | −4.49346 | − | 13.4093i | −0.183445 | − | 0.547432i | ||||
\(601\) | −34.4158 | −1.40385 | −0.701925 | − | 0.712251i | \(-0.747676\pi\) | ||||
−0.701925 | + | 0.712251i | \(0.747676\pi\) | |||||||
\(602\) | 0.0627948 | + | 0.0420565i | 0.00255933 | + | 0.00171410i | ||||
\(603\) | 2.97451 | − | 1.51559i | 0.121131 | − | 0.0617194i | ||||
\(604\) | −41.1524 | + | 16.9416i | −1.67447 | + | 0.689344i | ||||
\(605\) | −9.13536 | − | 2.70931i | −0.371405 | − | 0.110149i | ||||
\(606\) | 22.0577 | + | 2.63491i | 0.896033 | + | 0.107036i | ||||
\(607\) | −30.1682 | + | 30.1682i | −1.22449 | + | 1.22449i | −0.258469 | + | 0.966020i | \(0.583218\pi\) |
−0.966020 | + | 0.258469i | \(0.916782\pi\) | |||||||
\(608\) | 12.5390 | + | 22.6769i | 0.508523 | + | 0.919671i | ||||
\(609\) | −0.141103 | + | 0.194211i | −0.00571777 | + | 0.00786984i | ||||
\(610\) | −0.992389 | − | 15.4760i | −0.0401806 | − | 0.626606i | ||||
\(611\) | −25.2862 | − | 34.8034i | −1.02297 | − | 1.40800i | ||||
\(612\) | −4.11342 | + | 4.79514i | −0.166275 | + | 0.193832i | ||||
\(613\) | −32.0453 | + | 5.07547i | −1.29430 | + | 0.204996i | −0.765326 | − | 0.643643i | \(-0.777422\pi\) |
−0.528971 | + | 0.848640i | \(0.677422\pi\) | |||||||
\(614\) | 31.1092 | − | 6.15300i | 1.25546 | − | 0.248315i | ||||
\(615\) | −0.0762758 | + | 0.577895i | −0.00307574 | + | 0.0233030i | ||||
\(616\) | −0.0768087 | + | 0.206135i | −0.00309471 | + | 0.00830543i | ||||
\(617\) | 5.54357 | − | 10.8799i | 0.223176 | − | 0.438007i | −0.752085 | − | 0.659067i | \(-0.770952\pi\) |
0.975260 | + | 0.221060i | \(0.0709516\pi\) | |||||||
\(618\) | −4.35892 | + | 1.60273i | −0.175342 | + | 0.0644714i | ||||
\(619\) | 2.03053 | + | 6.24934i | 0.0816140 | + | 0.251182i | 0.983535 | − | 0.180720i | \(-0.0578427\pi\) |
−0.901921 | + | 0.431902i | \(0.857843\pi\) | |||||||
\(620\) | 6.18362 | − | 5.53987i | 0.248340 | − | 0.222487i | ||||
\(621\) | −1.82276 | + | 5.60987i | −0.0731448 | + | 0.225116i | ||||
\(622\) | −0.947976 | − | 24.8121i | −0.0380104 | − | 0.994876i | ||||
\(623\) | −0.281209 | − | 0.0445392i | −0.0112664 | − | 0.00178442i | ||||
\(624\) | −2.33913 | + | 14.3659i | −0.0936402 | + | 0.575096i | ||||
\(625\) | 24.8665 | − | 2.58030i | 0.994659 | − | 0.103212i | ||||
\(626\) | −16.8478 | − | 7.78908i | −0.673375 | − | 0.311314i | ||||
\(627\) | 1.86019 | − | 11.7448i | 0.0742888 | − | 0.469041i | ||||
\(628\) | −6.34177 | + | 15.2171i | −0.253064 | + | 0.607230i | ||||
\(629\) | −25.1171 | − | 8.16105i | −1.00149 | − | 0.325402i | ||||
\(630\) | −0.0869971 | − | 0.0375226i | −0.00346605 | − | 0.00149494i | ||||
\(631\) | −12.7502 | + | 4.14278i | −0.507576 | + | 0.164921i | −0.551599 | − | 0.834109i | \(-0.685982\pi\) |
0.0440238 | + | 0.999030i | \(0.485982\pi\) | |||||||
\(632\) | 36.3202 | + | 20.4955i | 1.44474 | + | 0.815267i | ||||
\(633\) | −8.04593 | − | 4.09961i | −0.319797 | − | 0.162945i | ||||
\(634\) | −8.42177 | + | 4.70445i | −0.334471 | + | 0.186838i | ||||
\(635\) | −25.1145 | − | 3.31484i | −0.996637 | − | 0.131545i | ||||
\(636\) | 1.68067 | − | 6.93433i | 0.0666428 | − | 0.274964i | ||||
\(637\) | 3.98409 | + | 25.1546i | 0.157855 | + | 0.996660i | ||||
\(638\) | 8.01501 | − | 28.3018i | 0.317317 | − | 1.12048i | ||||
\(639\) | 9.19257 | − | 6.67879i | 0.363652 | − | 0.264209i | ||||
\(640\) | −20.7744 | + | 14.4369i | −0.821180 | + | 0.570670i | ||||
\(641\) | −5.26652 | − | 3.82635i | −0.208015 | − | 0.151132i | 0.478900 | − | 0.877869i | \(-0.341036\pi\) |
−0.686915 | + | 0.726738i | \(0.741036\pi\) | |||||||
\(642\) | −13.3495 | + | 10.5005i | −0.526862 | + | 0.414420i | ||||
\(643\) | −24.1498 | − | 24.1498i | −0.952377 | − | 0.952377i | 0.0465397 | − | 0.998916i | \(-0.485181\pi\) |
−0.998916 | + | 0.0465397i | \(0.985181\pi\) | |||||||
\(644\) | −0.300966 | − | 0.185329i | −0.0118597 | − | 0.00730300i | ||||
\(645\) | 1.13406 | − | 3.82388i | 0.0446536 | − | 0.150565i | ||||
\(646\) | 15.0119 | + | 13.9070i | 0.590634 | + | 0.547164i | ||||
\(647\) | 16.9157 | + | 33.1990i | 0.665026 | + | 1.30519i | 0.939155 | + | 0.343494i | \(0.111611\pi\) |
−0.274129 | + | 0.961693i | \(0.588389\pi\) | |||||||
\(648\) | 2.80989 | − | 0.323324i | 0.110383 | − | 0.0127014i | ||||
\(649\) | 1.90848i | 0.0749144i | ||||||||
\(650\) | −23.8816 | − | 9.57611i | −0.936713 | − | 0.375606i | ||||
\(651\) | − | 0.0556202i | − | 0.00217993i | ||||||
\(652\) | −35.0179 | + | 21.3548i | −1.37141 | + | 0.836320i | ||||
\(653\) | 1.60583 | + | 3.15162i | 0.0628409 | + | 0.123332i | 0.920290 | − | 0.391236i | \(-0.127952\pi\) |
−0.857450 | + | 0.514568i | \(0.827952\pi\) | |||||||
\(654\) | 8.98668 | − | 9.70066i | 0.351407 | − | 0.379326i | ||||
\(655\) | −7.18512 | − | 20.3115i | −0.280746 | − | 0.793636i | ||||
\(656\) | 1.03059 | − | 0.158660i | 0.0402379 | − | 0.00619461i | ||||
\(657\) | 7.61182 | + | 7.61182i | 0.296965 | + | 0.296965i | ||||
\(658\) | −0.309697 | − | 0.393724i | −0.0120732 | − | 0.0153490i | ||||
\(659\) | −0.360535 | − | 0.261944i | −0.0140445 | − | 0.0102039i | 0.580741 | − | 0.814088i | \(-0.302763\pi\) |
−0.594785 | + | 0.803885i | \(0.702763\pi\) | |||||||
\(660\) | 11.5917 | + | 0.636508i | 0.451207 | + | 0.0247760i | ||||
\(661\) | 12.6735 | − | 9.20784i | 0.492942 | − | 0.358144i | −0.313372 | − | 0.949630i | \(-0.601459\pi\) |
0.806315 | + | 0.591487i | \(0.201459\pi\) | |||||||
\(662\) | −8.84181 | − | 2.50398i | −0.343647 | − | 0.0973200i | ||||
\(663\) | 1.79811 | + | 11.3528i | 0.0698329 | + | 0.440908i | ||||
\(664\) | −28.6243 | − | 22.7167i | −1.11084 | − | 0.881579i | ||||
\(665\) | −0.132209 | + | 0.276946i | −0.00512684 | + | 0.0107395i | ||||
\(666\) | 5.76608 | + | 10.3223i | 0.223431 | + | 0.399980i | ||||
\(667\) | 42.1107 | + | 21.4565i | 1.63053 | + | 0.830798i | ||||
\(668\) | −1.83327 | + | 22.6665i | −0.0709312 | + | 0.876992i | ||||
\(669\) | −9.38591 | + | 3.04967i | −0.362880 | + | 0.117907i | ||||
\(670\) | 9.08023 | − | 5.38481i | 0.350800 | − | 0.208033i | ||||
\(671\) | 12.1072 | + | 3.93387i | 0.467393 | + | 0.151865i | ||||
\(672\) | −0.0208312 | + | 0.168198i | −0.000803579 | + | 0.00648839i | ||||
\(673\) | −5.14603 | + | 32.4907i | −0.198365 | + | 1.25243i | 0.664614 | + | 0.747187i | \(0.268596\pi\) |
−0.862979 | + | 0.505240i | \(0.831404\pi\) | |||||||
\(674\) | 15.9283 | − | 34.4531i | 0.613536 | − | 1.32708i | ||||
\(675\) | −0.525934 | + | 4.97226i | −0.0202432 | + | 0.191382i | ||||
\(676\) | 0.311779 | + | 0.366651i | 0.0119915 | + | 0.0141020i | ||||
\(677\) | 9.54108 | + | 1.51116i | 0.366693 | + | 0.0580785i | 0.337062 | − | 0.941482i | \(-0.390567\pi\) |
0.0296312 | + | 0.999561i | \(0.490567\pi\) | |||||||
\(678\) | 1.61021 | − | 0.0615201i | 0.0618399 | − | 0.00236266i | ||||
\(679\) | 0.0594729 | − | 0.183039i | 0.00228236 | − | 0.00702439i | ||||
\(680\) | −12.0107 | + | 15.9649i | −0.460591 | + | 0.612225i | ||||
\(681\) | −7.77962 | − | 23.9432i | −0.298116 | − | 0.917506i | ||||
\(682\) | 2.35196 | + | 6.39657i | 0.0900611 | + | 0.244937i | ||||
\(683\) | 0.657454 | − | 1.29033i | 0.0251568 | − | 0.0493729i | −0.878086 | − | 0.478503i | \(-0.841180\pi\) |
0.903243 | + | 0.429130i | \(0.141180\pi\) | |||||||
\(684\) | −0.699034 | − | 9.13483i | −0.0267282 | − | 0.349279i | ||||
\(685\) | 0.626670 | − | 0.115932i | 0.0239438 | − | 0.00442953i | ||||
\(686\) | 0.115089 | + | 0.581881i | 0.00439411 | + | 0.0222163i | ||||
\(687\) | 9.71297 | − | 1.53838i | 0.370573 | − | 0.0586930i | ||||
\(688\) | −7.13478 | − | 0.0308885i | −0.272011 | − | 0.00117761i | ||||
\(689\) | −7.63032 | − | 10.5022i | −0.290692 | − | 0.400103i | ||||
\(690\) | −4.61702 | + | 18.0725i | −0.175767 | + | 0.688007i | ||||
\(691\) | 8.30255 | − | 11.4275i | 0.315844 | − | 0.434722i | −0.621349 | − | 0.783534i | \(-0.713415\pi\) |
0.937193 | + | 0.348812i | \(0.113415\pi\) | |||||||
\(692\) | −38.5696 | + | 9.17149i | −1.46620 | + | 0.348648i | ||||
\(693\) | 0.0549951 | − | 0.0549951i | 0.00208909 | − | 0.00208909i | ||||
\(694\) | −1.91044 | + | 15.9929i | −0.0725193 | + | 0.607082i | ||||
\(695\) | −9.37299 | − | 12.2235i | −0.355538 | − | 0.463664i | ||||
\(696\) | 0.963252 | − | 22.6421i | 0.0365120 | − | 0.858248i | ||||
\(697\) | 0.733711 | − | 0.373844i | 0.0277913 | − | 0.0141604i | ||||
\(698\) | −2.95195 | + | 4.40756i | −0.111733 | + | 0.166829i | ||||
\(699\) | −11.3333 | −0.428664 | ||||||||
\(700\) | −0.282138 | − | 0.100809i | −0.0106638 | − | 0.00381021i | ||||
\(701\) | 21.3510 | 0.806416 | 0.403208 | − | 0.915108i | \(-0.367895\pi\) | ||||
0.403208 | + | 0.915108i | \(0.367895\pi\) | |||||||
\(702\) | 2.86359 | − | 4.27564i | 0.108079 | − | 0.161374i | ||||
\(703\) | 34.1234 | − | 17.3868i | 1.28699 | − | 0.655754i | ||||
\(704\) | −4.71676 | − | 20.2244i | −0.177770 | − | 0.762236i | ||||
\(705\) | −14.9807 | + | 21.7816i | −0.564206 | + | 0.820343i | ||||
\(706\) | 5.09548 | − | 42.6559i | 0.191771 | − | 1.60538i | ||||
\(707\) | 0.332782 | − | 0.332782i | 0.0125155 | − | 0.0125155i | ||||
\(708\) | 0.340159 | + | 1.43050i | 0.0127839 | + | 0.0537614i | ||||
\(709\) | −12.7559 | + | 17.5570i | −0.479057 | + | 0.659366i | −0.978323 | − | 0.207083i | \(-0.933603\pi\) |
0.499266 | + | 0.866449i | \(0.333603\pi\) | |||||||
\(710\) | 27.6583 | − | 22.9371i | 1.03800 | − | 0.860816i | ||||
\(711\) | −8.66666 | − | 11.9286i | −0.325025 | − | 0.447358i | ||||
\(712\) | 24.4458 | − | 11.1736i | 0.916145 | − | 0.418747i | ||||
\(713\) | −10.8155 | + | 1.71301i | −0.405044 | + | 0.0641527i | ||||
\(714\) | 0.0259695 | + | 0.131300i | 0.000971883 | + | 0.00491377i | ||||
\(715\) | 14.5442 | − | 15.3162i | 0.543922 | − | 0.572795i | ||||
\(716\) | −29.4911 | + | 2.25678i | −1.10213 | + | 0.0843398i | ||||
\(717\) | 9.03758 | − | 17.7373i | 0.337515 | − | 0.662410i | ||||
\(718\) | −1.10286 | − | 2.99941i | −0.0411582 | − | 0.111937i | ||||
\(719\) | −6.74838 | − | 20.7694i | −0.251672 | − | 0.774567i | −0.994467 | − | 0.105048i | \(-0.966500\pi\) |
0.742795 | − | 0.669519i | \(-0.233500\pi\) | |||||||
\(720\) | 8.80200 | − | 1.58896i | 0.328031 | − | 0.0592171i | ||||
\(721\) | −0.0304042 | + | 0.0935746i | −0.00113231 | + | 0.00348490i | ||||
\(722\) | −2.80294 | + | 0.107089i | −0.104315 | + | 0.00398546i | ||||
\(723\) | −18.2937 | − | 2.89744i | −0.680351 | − | 0.107757i | ||||
\(724\) | 23.3413 | − | 19.8481i | 0.867472 | − | 0.737650i | ||||
\(725\) | 38.6902 | + | 10.3945i | 1.43692 | + | 0.386041i | ||||
\(726\) | 2.52895 | − | 5.47014i | 0.0938582 | − | 0.203016i | ||||
\(727\) | −1.62027 | + | 10.2300i | −0.0600925 | + | 0.379409i | 0.939253 | + | 0.343226i | \(0.111520\pi\) |
−0.999345 | + | 0.0361826i | \(0.988480\pi\) | |||||||
\(728\) | 0.208576 | + | 0.227111i | 0.00773033 | + | 0.00841729i | ||||
\(729\) | −0.951057 | − | 0.309017i | −0.0352243 | − | 0.0114451i | ||||
\(730\) | 25.5617 | + | 22.4810i | 0.946081 | + | 0.832059i | ||||
\(731\) | −5.35872 | + | 1.74115i | −0.198199 | + | 0.0643989i | ||||
\(732\) | 9.77608 | + | 0.790690i | 0.361334 | + | 0.0292248i | ||||
\(733\) | 7.04429 | + | 3.58925i | 0.260187 | + | 0.132572i | 0.579219 | − | 0.815172i | \(-0.303358\pi\) |
−0.319032 | + | 0.947744i | \(0.603358\pi\) | |||||||
\(734\) | 17.4423 | + | 31.2247i | 0.643808 | + | 1.15253i | ||||
\(735\) | 13.7564 | − | 7.46321i | 0.507411 | − | 0.275284i | ||||
\(736\) | 33.3482 | − | 1.12955i | 1.22923 | − | 0.0416356i | ||||
\(737\) | 1.35567 | + | 8.55935i | 0.0499366 | + | 0.315288i | ||||
\(738\) | −0.354713 | − | 0.100454i | −0.0130572 | − | 0.00369776i | ||||
\(739\) | −39.2364 | + | 28.5069i | −1.44334 | + | 1.04864i | −0.456003 | + | 0.889978i | \(0.650719\pi\) |
−0.987332 | + | 0.158666i | \(0.949281\pi\) | |||||||
\(740\) | 20.2854 | + | 31.4081i | 0.745707 | + | 1.15459i | ||||
\(741\) | −13.4850 | − | 9.79741i | −0.495383 | − | 0.359917i | ||||
\(742\) | −0.0934537 | − | 0.118810i | −0.00343079 | − | 0.00436164i | ||||
\(743\) | −22.8092 | − | 22.8092i | −0.836787 | − | 0.836787i | 0.151648 | − | 0.988435i | \(-0.451542\pi\) |
−0.988435 | + | 0.151648i | \(0.951542\pi\) | |||||||
\(744\) | 2.90300 | + | 4.37533i | 0.106429 | + | 0.160407i | ||||
\(745\) | −18.4188 | + | 0.476212i | −0.674811 | + | 0.0174471i | ||||
\(746\) | 16.8562 | − | 18.1954i | 0.617151 | − | 0.666182i | ||||
\(747\) | 5.86554 | + | 11.5118i | 0.214609 | + | 0.421193i | ||||
\(748\) | −8.53874 | − | 14.0019i | −0.312207 | − | 0.511960i | ||||
\(749\) | 0.359821i | 0.0131476i | ||||||||
\(750\) | −0.653537 | + | 15.7979i | −0.0238638 | + | 0.576857i | ||||
\(751\) | 46.1937i | 1.68563i | 0.538201 | + | 0.842816i | \(0.319104\pi\) | ||||
−0.538201 | + | 0.842816i | \(0.680896\pi\) | |||||||
\(752\) | 44.9118 | + | 14.8080i | 1.63777 | + | 0.539993i | ||||
\(753\) | 5.24017 | + | 10.2844i | 0.190962 | + | 0.374785i | ||||
\(754\) | −30.2473 | − | 28.0211i | −1.10154 | − | 1.02047i | ||||
\(755\) | 49.7395 | − | 1.28600i | 1.81021 | − | 0.0468024i | ||||
\(756\) | 0.0314194 | − | 0.0510235i | 0.00114271 | − | 0.00185571i | ||||
\(757\) | −8.32615 | − | 8.32615i | −0.302619 | − | 0.302619i | 0.539419 | − | 0.842038i | \(-0.318644\pi\) |
−0.842038 | + | 0.539419i | \(0.818644\pi\) | |||||||
\(758\) | −26.2648 | + | 20.6594i | −0.953979 | + | 0.750383i | ||||
\(759\) | −12.3877 | − | 9.00020i | −0.449645 | − | 0.326686i | ||||
\(760\) | −4.05456 | − | 28.6862i | −0.147074 | − | 1.04056i | ||||
\(761\) | 29.2453 | − | 21.2480i | 1.06014 | − | 0.770239i | 0.0860281 | − | 0.996293i | \(-0.472583\pi\) |
0.974115 | + | 0.226054i | \(0.0725825\pi\) | |||||||
\(762\) | 4.36558 | − | 15.4153i | 0.158148 | − | 0.558437i | ||||
\(763\) | −0.0438247 | − | 0.276698i | −0.00158656 | − | 0.0100171i | ||||
\(764\) | 44.6912 | + | 10.8318i | 1.61687 | + | 0.391880i | ||||
\(765\) | 6.20857 | − | 3.36832i | 0.224471 | − | 0.121782i | ||||
\(766\) | 7.14075 | − | 3.98887i | 0.258006 | − | 0.144124i | ||||
\(767\) | 2.38362 | + | 1.21451i | 0.0860674 | + | 0.0438535i | ||||
\(768\) | −7.14014 | − | 14.3185i | −0.257648 | − | 0.516673i | ||||
\(769\) | −16.5650 | + | 5.38228i | −0.597348 | + | 0.194090i | −0.592057 | − | 0.805896i | \(-0.701684\pi\) |
−0.00529061 | + | 0.999986i | \(0.501684\pi\) | |||||||
\(770\) | 0.162424 | − | 0.184682i | 0.00585336 | − | 0.00665549i | ||||
\(771\) | 9.81358 | + | 3.18863i | 0.353427 | + | 0.114836i | ||||
\(772\) | 21.9587 | + | 9.15132i | 0.790310 | + | 0.329363i | ||||
\(773\) | 0.778227 | − | 4.91353i | 0.0279909 | − | 0.176728i | −0.969732 | − | 0.244171i | \(-0.921484\pi\) |
0.997723 | + | 0.0674434i | \(0.0214842\pi\) | |||||||
\(774\) | 2.28969 | + | 1.05857i | 0.0823013 | + | 0.0380495i | ||||
\(775\) | −8.66788 | + | 3.32071i | −0.311359 | + | 0.119283i | ||||
\(776\) | 4.87498 | + | 17.5027i | 0.175002 | + | 0.628311i | ||||
\(777\) | 0.247403 | + | 0.0391849i | 0.00887555 | + | 0.00140575i | ||||
\(778\) | 1.15488 | + | 30.2276i | 0.0414045 | + | 1.08371i | ||||
\(779\) | −0.369007 | + | 1.13569i | −0.0132210 | + | 0.0406902i | ||||
\(780\) | 8.17168 | − | 14.0725i | 0.292593 | − | 0.503878i | ||||
\(781\) | 9.11482 | + | 28.0525i | 0.326154 | + | 1.00380i | ||||
\(782\) | 24.7318 | − | 9.09365i | 0.884408 | − | 0.325188i | ||||
\(783\) | −3.63757 | + | 7.13914i | −0.129996 | + | 0.255132i | ||||
\(784\) | −19.7106 | − | 19.8820i | −0.703949 | − | 0.710070i | ||||
\(785\) | 12.6919 | − | 13.3656i | 0.452994 | − | 0.477039i | ||||
\(786\) | 13.3672 | − | 2.64387i | 0.476794 | − | 0.0943039i | ||||
\(787\) | −17.8401 | + | 2.82559i | −0.635930 | + | 0.100721i | −0.466071 | − | 0.884747i | \(-0.654331\pi\) |
−0.169858 | + | 0.985468i | \(0.554331\pi\) | |||||||
\(788\) | −22.6806 | − | 19.4561i | −0.807962 | − | 0.693095i | ||||
\(789\) | −7.45513 | − | 10.2611i | −0.265410 | − | 0.365305i | ||||
\(790\) | −29.7641 | − | 35.8905i | −1.05896 | − | 1.27693i | ||||
\(791\) | 0.0200658 | − | 0.0276182i | 0.000713457 | − | 0.000981989i | ||||
\(792\) | −1.45578 | + | 7.19652i | −0.0517291 | + | 0.255717i | ||||
\(793\) | 12.6180 | − | 12.6180i | 0.448078 | − | 0.448078i | ||||
\(794\) | 9.88176 | + | 1.18043i | 0.350690 | + | 0.0418919i | ||||
\(795\) | −4.52055 | + | 6.57279i | −0.160328 | + | 0.233113i | ||||
\(796\) | 13.0018 | + | 31.5823i | 0.460836 | + | 1.11940i | ||||
\(797\) | 11.5754 | − | 5.89797i | 0.410022 | − | 0.208917i | −0.236799 | − | 0.971559i | \(-0.576098\pi\) |
0.646821 | + | 0.762642i | \(0.276098\pi\) | |||||||
\(798\) | −0.161264 | − | 0.108006i | −0.00570868 | − | 0.00382336i | ||||
\(799\) | 37.3456 | 1.32119 | ||||||||
\(800\) | 27.4558 | − | 6.79564i | 0.970708 | − | 0.240262i | ||||
\(801\) | −9.50293 | −0.335770 | ||||||||
\(802\) | 36.1993 | + | 24.2443i | 1.27824 | + | 0.856097i | ||||
\(803\) | −24.8984 | + | 12.6864i | −0.878644 | + | 0.447692i | ||||
\(804\) | 2.54172 | + | 6.17401i | 0.0896394 | + | 0.217741i | ||||
\(805\) | 0.240460 | + | 0.313589i | 0.00847511 | + | 0.0110526i | ||||
\(806\) | 9.48579 | + | 1.13313i | 0.334123 | + | 0.0399128i | ||||
\(807\) | −13.4675 | + | 13.4675i | −0.474080 | + | 0.474080i | ||||
\(808\) | −8.80912 | + | 43.5470i | −0.309904 | + | 1.53198i | ||||
\(809\) | −21.2576 | + | 29.2586i | −0.747379 | + | 1.02868i | 0.250781 | + | 0.968044i | \(0.419313\pi\) |
−0.998160 | + | 0.0606351i | \(0.980687\pi\) | |||||||
\(810\) | −3.06387 | − | 0.782736i | −0.107654 | − | 0.0275025i | ||||
\(811\) | −30.8598 | − | 42.4749i | −1.08364 | − | 1.49150i | −0.855455 | − | 0.517877i | \(-0.826723\pi\) |
−0.228180 | − | 0.973619i | \(-0.573277\pi\) | |||||||
\(812\) | −0.364408 | − | 0.312600i | −0.0127882 | − | 0.0109701i | ||||
\(813\) | −18.3620 | + | 2.90826i | −0.643984 | + | 0.101997i | ||||
\(814\) | −30.1094 | + | 5.95527i | −1.05534 | + | 0.208732i | ||||
\(815\) | 45.0917 | − | 8.34182i | 1.57949 | − | 0.292201i | ||||
\(816\) | −8.89583 | − | 8.97319i | −0.311416 | − | 0.314125i | ||||
\(817\) | 3.70945 | − | 7.28021i | 0.129777 | − | 0.254702i | ||||
\(818\) | −2.05177 | + | 0.754415i | −0.0717383 | + | 0.0263775i | ||||
\(819\) | −0.0336891 | − | 0.103684i | −0.00117719 | − | 0.00362302i | ||||
\(820\) | −1.13973 | − | 0.245231i | −0.0398011 | − | 0.00856385i | ||||
\(821\) | −2.47595 | + | 7.62021i | −0.0864114 | + | 0.265947i | −0.984920 | − | 0.173008i | \(-0.944651\pi\) |
0.898509 | + | 0.438955i | \(0.144651\pi\) | |||||||
\(822\) | 0.0153884 | + | 0.402772i | 0.000536731 | + | 0.0140483i | ||||
\(823\) | −33.6993 | − | 5.33745i | −1.17468 | − | 0.186052i | −0.461573 | − | 0.887102i | \(-0.652715\pi\) |
−0.713111 | + | 0.701051i | \(0.752715\pi\) | |||||||
\(824\) | −2.49223 | − | 8.94789i | −0.0868209 | − | 0.311714i | ||||
\(825\) | −11.8538 | − | 5.28707i | −0.412697 | − | 0.184072i | ||||
\(826\) | 0.0282752 | + | 0.0130722i | 0.000983819 | + | 0.000454839i | ||||
\(827\) | 2.27430 | − | 14.3594i | 0.0790852 | − | 0.499325i | −0.916071 | − | 0.401017i | \(-0.868657\pi\) |
0.995156 | − | 0.0983080i | \(-0.0313430\pi\) | |||||||
\(828\) | −10.8893 | − | 4.53815i | −0.378431 | − | 0.157712i | ||||
\(829\) | −9.98390 | − | 3.24396i | −0.346755 | − | 0.112668i | 0.130461 | − | 0.991453i | \(-0.458354\pi\) |
−0.477216 | + | 0.878786i | \(0.658354\pi\) | |||||||
\(830\) | 20.8400 | + | 35.1418i | 0.723367 | + | 1.21979i | ||||
\(831\) | −26.7911 | + | 8.70494i | −0.929372 | + | 0.301971i | ||||
\(832\) | −28.2611 | − | 6.97930i | −0.979778 | − | 0.241964i | ||||
\(833\) | −19.6994 | − | 10.0374i | −0.682544 | − | 0.347774i | ||||
\(834\) | 8.50501 | − | 4.75095i | 0.294505 | − | 0.164512i | ||||
\(835\) | 10.9532 | − | 22.9443i | 0.379051 | − | 0.794020i | ||||
\(836\) | 23.1132 | + | 5.60193i | 0.799386 | + | 0.193747i | ||||
\(837\) | −0.290411 | − | 1.83358i | −0.0100381 | − | 0.0633779i | ||||
\(838\) | −6.14050 | + | 21.6827i | −0.212120 | + | 0.749017i | ||||
\(839\) | 22.2107 | − | 16.1370i | 0.766797 | − | 0.557111i | −0.134191 | − | 0.990956i | \(-0.542843\pi\) |
0.900988 | + | 0.433845i | \(0.142843\pi\) | |||||||
\(840\) | 0.0888279 | − | 0.167378i | 0.00306485 | − | 0.00577509i | ||||
\(841\) | 28.4768 | + | 20.6896i | 0.981957 | + | 0.713434i | ||||
\(842\) | 3.58158 | − | 2.81721i | 0.123429 | − | 0.0970875i | ||||
\(843\) | 9.50230 | + | 9.50230i | 0.327277 | + | 0.327277i | ||||
\(844\) | 9.46980 | − | 15.3785i | 0.325964 | − | 0.529350i | ||||
\(845\) | −0.179453 | − | 0.507293i | −0.00617337 | − | 0.0174514i | ||||
\(846\) | −12.2653 | − | 11.3625i | −0.421688 | − | 0.390652i | ||||
\(847\) | −0.0579622 | − | 0.113757i | −0.00199161 | − | 0.00390875i | ||||
\(848\) | 13.5525 | + | 4.46844i | 0.465396 | + | 0.153447i | ||||
\(849\) | 10.8415i | 0.372080i | ||||||||
\(850\) | 18.9114 | − | 11.8861i | 0.648654 | − | 0.407690i | ||||
\(851\) | − | 49.3152i | − | 1.69050i | ||||||
\(852\) | 11.8320 | + | 19.4021i | 0.405356 | + | 0.664706i | ||||
\(853\) | 10.4218 | + | 20.4539i | 0.356836 | + | 0.700329i | 0.997733 | − | 0.0672973i | \(-0.0214376\pi\) |
−0.640897 | + | 0.767627i | \(0.721438\pi\) | |||||||
\(854\) | 0.141211 | − | 0.152430i | 0.00483213 | − | 0.00521604i | ||||
\(855\) | −2.91239 | + | 9.82014i | −0.0996017 | + | 0.335842i | ||||
\(856\) | −18.7802 | − | 28.3051i | −0.641894 | − | 0.967447i | ||||
\(857\) | 7.96786 | + | 7.96786i | 0.272177 | + | 0.272177i | 0.829976 | − | 0.557799i | \(-0.188354\pi\) |
−0.557799 | + | 0.829976i | \(0.688354\pi\) | |||||||
\(858\) | 8.25878 | + | 10.4996i | 0.281950 | + | 0.358449i | ||||
\(859\) | 9.67439 | + | 7.02885i | 0.330086 | + | 0.239821i | 0.740467 | − | 0.672093i | \(-0.234604\pi\) |
−0.410381 | + | 0.911914i | \(0.634604\pi\) | |||||||
\(860\) | 7.44002 | + | 2.87728i | 0.253702 | + | 0.0981144i | ||||
\(861\) | −0.00631864 | + | 0.00459076i | −0.000215339 | + | 0.000156453i | ||||
\(862\) | −42.6594 | − | 12.0810i | −1.45298 | − | 0.411482i | ||||
\(863\) | −6.25940 | − | 39.5203i | −0.213073 | − | 1.34529i | −0.829778 | − | 0.558093i | \(-0.811533\pi\) |
0.616706 | − | 0.787194i | \(-0.288467\pi\) | |||||||
\(864\) | 0.191495 | + | 5.65361i | 0.00651479 | + | 0.192340i | ||||
\(865\) | 43.9434 | + | 5.80005i | 1.49412 | + | 0.197208i | ||||
\(866\) | 19.4187 | + | 34.7627i | 0.659873 | + | 1.18129i | ||||
\(867\) | 6.25631 | + | 3.18775i | 0.212475 | + | 0.108262i | ||||
\(868\) | 0.110878 | + | 0.00896786i | 0.00376346 | + | 0.000304389i | ||||
\(869\) | 36.4021 | − | 11.8277i | 1.23486 | − | 0.401229i | ||||
\(870\) | −10.0347 | + | 23.2658i | −0.340209 | + | 0.788784i | ||||
\(871\) | 11.5530 | + | 3.75380i | 0.391458 | + | 0.127193i | ||||
\(872\) | 17.8892 | + | 19.4789i | 0.605805 | + | 0.659640i | ||||
\(873\) | 1.00489 | − | 6.34461i | 0.0340103 | − | 0.214732i | ||||
\(874\) | −16.0354 | + | 34.6846i | −0.542405 | + | 1.17323i | ||||
\(875\) | 0.254498 | + | 0.217799i | 0.00860359 | + | 0.00736295i | ||||
\(876\) | −16.4014 | + | 13.9468i | −0.554151 | + | 0.471219i | ||||
\(877\) | 5.40297 | + | 0.855747i | 0.182445 | + | 0.0288965i | 0.246989 | − | 0.969018i | \(-0.420559\pi\) |
−0.0645431 | + | 0.997915i | \(0.520559\pi\) | |||||||
\(878\) | −44.2229 | + | 1.68959i | −1.49245 | + | 0.0570208i | ||||
\(879\) | 0.402821 | − | 1.23976i | 0.0135868 | − | 0.0418159i | ||||
\(880\) | −3.13785 | + | 23.0054i | −0.105777 | + | 0.775511i | ||||
\(881\) | −16.7420 | − | 51.5264i | −0.564051 | − | 1.73597i | −0.670755 | − | 0.741679i | \(-0.734030\pi\) |
0.106705 | − | 0.994291i | \(-0.465970\pi\) | |||||||
\(882\) | 3.41589 | + | 9.29013i | 0.115019 | + | 0.312815i | ||||
\(883\) | 20.7386 | − | 40.7019i | 0.697911 | − | 1.36973i | −0.221005 | − | 0.975273i | \(-0.570934\pi\) |
0.918916 | − | 0.394454i | \(-0.129066\pi\) | |||||||
\(884\) | −22.9217 | + | 1.75406i | −0.770940 | + | 0.0589954i | ||||
\(885\) | 0.215117 | − | 1.62980i | 0.00723106 | − | 0.0547853i | ||||
\(886\) | 10.7263 | + | 54.2316i | 0.360358 | + | 1.82195i | ||||
\(887\) | −26.6295 | + | 4.21771i | −0.894133 | + | 0.141617i | −0.586558 | − | 0.809907i | \(-0.699517\pi\) |
−0.307575 | + | 0.951524i | \(0.599517\pi\) | |||||||
\(888\) | −21.5070 | + | 9.83033i | −0.721729 | + | 0.329884i | ||||
\(889\) | −0.199508 | − | 0.274599i | −0.00669128 | − | 0.00920976i | ||||
\(890\) | −29.9893 | + | 1.92304i | −1.00524 | + | 0.0644605i | ||||
\(891\) | 1.52583 | − | 2.10012i | 0.0511171 | − | 0.0703567i | ||||
\(892\) | −4.56616 | − | 19.2024i | −0.152886 | − | 0.642945i | ||||
\(893\) | −38.2942 | + | 38.2942i | −1.28147 | + | 1.28147i | ||||
\(894\) | 1.38218 | − | 11.5707i | 0.0462270 | − | 0.386981i | ||||
\(895\) | 31.7036 | + | 9.40244i | 1.05973 | + | 0.314289i | ||||
\(896\) | −0.331943 | − | 0.0686459i | −0.0110894 | − | 0.00229330i | ||||
\(897\) | −19.1241 | + | 9.74424i | −0.638537 | + | 0.325351i | ||||
\(898\) | 25.7530 | − | 38.4519i | 0.859388 | − | 1.28316i | ||||
\(899\) | −14.8746 | −0.496096 | ||||||||
\(900\) | −9.82736 | − | 1.85014i | −0.327579 | − | 0.0616713i | ||||
\(901\) | 11.2694 | 0.375437 | ||||||||
\(902\) | 0.532546 | − | 0.795147i | 0.0177319 | − | 0.0264755i | ||||
\(903\) | 0.0476165 | − | 0.0242618i | 0.00158458 | − | 0.000807383i | ||||
\(904\) | −0.136981 | + | 3.21986i | −0.00455592 | + | 0.107091i | ||||
\(905\) | −32.2946 | + | 11.4241i | −1.07351 | + | 0.379750i | ||||
\(906\) | −3.73255 | + | 31.2464i | −0.124006 | + | 1.03809i | ||||
\(907\) | −8.52774 | + | 8.52774i | −0.283159 | + | 0.283159i | −0.834368 | − | 0.551209i | \(-0.814167\pi\) |
0.551209 | + | 0.834368i | \(0.314167\pi\) | |||||||
\(908\) | 48.9849 | − | 11.6481i | 1.62562 | − | 0.386557i | ||||
\(909\) | 9.23296 | − | 12.7081i | 0.306238 | − | 0.421500i | ||||
\(910\) | −0.127298 | − | 0.320389i | −0.00421988 | − | 0.0106208i | ||||
\(911\) | 30.7632 | + | 42.3419i | 1.01923 | + | 1.40285i | 0.912742 | + | 0.408535i | \(0.133960\pi\) |
0.106487 | + | 0.994314i | \(0.466040\pi\) | |||||||
\(912\) | 18.3229 | + | 0.0793251i | 0.606732 | + | 0.00262672i | ||||
\(913\) | −33.1259 | + | 5.24663i | −1.09631 | + | 0.173638i | ||||
\(914\) | 2.75924 | + | 13.9505i | 0.0912674 | + | 0.461442i | ||||
\(915\) | −9.89590 | − | 4.72412i | −0.327148 | − | 0.156175i | ||||
\(916\) | 1.50069 | + | 19.6107i | 0.0495843 | + | 0.647957i | ||||
\(917\) | 0.131057 | − | 0.257213i | 0.00432787 | − | 0.00849392i | ||||
\(918\) | 1.54167 | + | 4.19285i | 0.0508827 | + | 0.138385i | ||||
\(919\) | 2.30130 | + | 7.08267i | 0.0759129 | + | 0.233636i | 0.981811 | − | 0.189859i | \(-0.0608031\pi\) |
−0.905898 | + | 0.423495i | \(0.860803\pi\) | |||||||
\(920\) | −35.2829 | − | 12.1179i | −1.16324 | − | 0.399515i | ||||
\(921\) | 6.92929 | − | 21.3262i | 0.228328 | − | 0.702721i | ||||
\(922\) | −35.0671 | + | 1.33978i | −1.15487 | + | 0.0441233i | ||||
\(923\) | 40.8370 | + | 6.46794i | 1.34417 | + | 0.212895i | ||||
\(924\) | 0.100765 | + | 0.118499i | 0.00331493 | + | 0.00389834i | ||||
\(925\) | −8.66419 | − | 40.8949i | −0.284877 | − | 1.34462i | ||||
\(926\) | 17.6036 | − | 38.0768i | 0.578491 | − | 1.25128i | ||||
\(927\) | −0.513727 | + | 3.24354i | −0.0168730 | + | 0.106532i | ||||
\(928\) | 44.9815 | + | 5.57091i | 1.47659 | + | 0.182874i | ||||
\(929\) | −8.13021 | − | 2.64167i | −0.266744 | − | 0.0866703i | 0.172592 | − | 0.984993i | \(-0.444786\pi\) |
−0.439335 | + | 0.898323i | \(0.644786\pi\) | |||||||
\(930\) | −1.28753 | − | 5.72765i | −0.0422197 | − | 0.187817i | ||||
\(931\) | 30.4921 | − | 9.90747i | 0.999337 | − | 0.324704i | ||||
\(932\) | 1.82731 | − | 22.5928i | 0.0598554 | − | 0.740051i | ||||
\(933\) | −15.6440 | − | 7.97099i | −0.512160 | − | 0.260959i | ||||
\(934\) | 27.5589 | + | 49.3352i | 0.901756 | + | 1.61430i | ||||
\(935\) | 3.33548 | + | 18.0299i | 0.109082 | + | 0.589642i | ||||
\(936\) | 8.06175 | + | 6.39792i | 0.263506 | + | 0.209123i | ||||
\(937\) | −4.86156 | − | 30.6947i | −0.158820 | − | 1.00275i | −0.930381 | − | 0.366595i | \(-0.880523\pi\) |
0.771560 | − | 0.636156i | \(-0.219477\pi\) | |||||||
\(938\) | 0.136097 | + | 0.0385424i | 0.00444373 | + | 0.00125845i | ||||
\(939\) | −10.6182 | + | 7.71455i | −0.346511 | + | 0.251755i | ||||
\(940\) | −41.0060 | − | 33.3758i | −1.33747 | − | 1.08860i | ||||
\(941\) | 13.4123 | + | 9.74458i | 0.437227 | + | 0.317664i | 0.784532 | − | 0.620088i | \(-0.212903\pi\) |
−0.347305 | + | 0.937752i | \(0.612903\pi\) | |||||||
\(942\) | 7.20698 | + | 9.16238i | 0.234816 | + | 0.298527i | ||||
\(943\) | 1.08729 | + | 1.08729i | 0.0354071 | + | 0.0354071i | ||||
\(944\) | −2.90653 | + | 0.447459i | −0.0945994 | + | 0.0145635i | ||||
\(945\) | −0.0531636 | + | 0.0407659i | −0.00172941 | + | 0.00132611i | ||||
\(946\) | −4.45017 | + | 4.80373i | −0.144688 | + | 0.156183i | ||||
\(947\) | −9.06273 | − | 17.7866i | −0.294499 | − | 0.577987i | 0.695588 | − | 0.718441i | \(-0.255144\pi\) |
−0.990087 | + | 0.140454i | \(0.955144\pi\) | |||||||
\(948\) | 25.1770 | − | 15.3536i | 0.817710 | − | 0.498662i | ||||
\(949\) | 39.1704i | 1.27152i | ||||||||
\(950\) | −7.20368 | + | 31.5797i | −0.233718 | + | 1.02458i | ||||
\(951\) | 6.82122i | 0.221193i | ||||||||
\(952\) | −0.265932 | + | 0.0305999i | −0.00861891 | + | 0.000991749i | ||||
\(953\) | −3.35084 | − | 6.57639i | −0.108544 | − | 0.213030i | 0.830345 | − | 0.557250i | \(-0.188143\pi\) |
−0.938889 | + | 0.344220i | \(0.888143\pi\) | |||||||
\(954\) | −3.70115 | − | 3.42874i | −0.119829 | − | 0.111010i | ||||
\(955\) | −42.3611 | − | 29.1346i | −1.37077 | − | 0.942774i | ||||
\(956\) | 33.9019 | + | 20.8762i | 1.09647 | + | 0.675184i | ||||
\(957\) | −14.7074 | − | 14.7074i | −0.475423 | − | 0.475423i | ||||
\(958\) | 6.01526 | − | 4.73150i | 0.194344 | − | 0.152868i | ||||
\(959\) | 0.00690829 | + | 0.00501917i | 0.000223080 | + | 0.000162077i | ||||
\(960\) | 1.74840 | + | 17.8029i | 0.0564294 | + | 0.574586i | ||||
\(961\) | −22.2914 | + | 16.1956i | −0.719076 | + | 0.522439i | ||||
\(962\) | −11.7231 | + | 41.3953i | −0.377967 | + | 1.33464i | ||||
\(963\) | 1.87874 | + | 11.8619i | 0.0605415 | + | 0.382244i | ||||
\(964\) | 8.72559 | − | 36.0012i | 0.281032 | − | 1.15952i | ||||
\(965\) | −19.2869 | − | 18.3147i | −0.620867 | − | 0.589571i | ||||
\(966\) | −0.218193 | + | 0.121884i | −0.00702023 | + | 0.00392154i | ||||
\(967\) | −11.2886 | − | 5.75184i | −0.363018 | − | 0.184967i | 0.262962 | − | 0.964806i | \(-0.415301\pi\) |
−0.625980 | + | 0.779839i | \(0.715301\pi\) | |||||||
\(968\) | 10.4969 | + | 5.92341i | 0.337384 | + | 0.190386i | ||||
\(969\) | 13.7618 | − | 4.47147i | 0.442092 | − | 0.143644i | ||||
\(970\) | 1.88730 | − | 20.2256i | 0.0605977 | − | 0.649406i | ||||
\(971\) | −22.4953 | − | 7.30917i | −0.721909 | − | 0.234563i | −0.0750585 | − | 0.997179i | \(-0.523914\pi\) |
−0.646851 | + | 0.762617i | \(0.723914\pi\) | |||||||
\(972\) | 0.769365 | − | 1.84610i | 0.0246774 | − | 0.0592136i | ||||
\(973\) | 0.0322863 | − | 0.203848i | 0.00103505 | − | 0.00653505i | ||||
\(974\) | −43.9644 | − | 20.3256i | −1.40871 | − | 0.651275i | ||||
\(975\) | −14.1469 | + | 11.4404i | −0.453062 | + | 0.366386i | ||||
\(976\) | −3.15247 | + | 19.3610i | −0.100908 | + | 0.619731i | ||||
\(977\) | 17.2253 | + | 2.72822i | 0.551087 | + | 0.0872836i | 0.425767 | − | 0.904833i | \(-0.360004\pi\) |
0.125320 | + | 0.992116i | \(0.460004\pi\) | |||||||
\(978\) | 1.10726 | + | 28.9813i | 0.0354064 | + | 0.926719i | ||||
\(979\) | 7.62301 | − | 23.4612i | 0.243633 | − | 0.749824i | ||||
\(980\) | 12.6598 | + | 28.6265i | 0.404404 | + | 0.914440i | ||||
\(981\) | −2.88946 | − | 8.89284i | −0.0922533 | − | 0.283927i | ||||
\(982\) | 20.1956 | − | 7.42572i | 0.644466 | − | 0.236964i | ||||
\(983\) | −15.5561 | + | 30.5305i | −0.496162 | + | 0.973773i | 0.498132 | + | 0.867101i | \(0.334019\pi\) |
−0.994294 | + | 0.106672i | \(0.965981\pi\) | |||||||
\(984\) | 0.257446 | − | 0.690920i | 0.00820706 | − | 0.0220257i | ||||
\(985\) | 15.9319 | + | 29.3660i | 0.507631 | + | 0.935679i | ||||
\(986\) | 35.1137 | − | 6.94506i | 1.11825 | − | 0.221176i | ||||
\(987\) | −0.349850 | + | 0.0554108i | −0.0111359 | + | 0.00176375i | ||||
\(988\) | 21.7053 | − | 25.3025i | 0.690537 | − | 0.804980i | ||||
\(989\) | −6.18429 | − | 8.51195i | −0.196649 | − | 0.270664i | ||||
\(990\) | 4.39021 | − | 6.93633i | 0.139530 | − | 0.220451i | ||||
\(991\) | 6.27760 | − | 8.64037i | 0.199414 | − | 0.274470i | −0.697585 | − | 0.716502i | \(-0.745742\pi\) |
0.897000 | + | 0.442032i | \(0.145742\pi\) | |||||||
\(992\) | −9.19024 | + | 5.08165i | −0.291791 | + | 0.161343i | ||||
\(993\) | −4.59477 | + | 4.59477i | −0.145811 | + | 0.145811i | ||||
\(994\) | 0.478046 | + | 0.0571052i | 0.0151627 | + | 0.00181127i | ||||
\(995\) | −0.986939 | − | 38.1724i | −0.0312881 | − | 1.21015i | ||||
\(996\) | −23.8943 | + | 9.83680i | −0.757120 | + | 0.311691i | ||||
\(997\) | −8.62027 | + | 4.39225i | −0.273007 | + | 0.139104i | −0.585135 | − | 0.810936i | \(-0.698958\pi\) |
0.312128 | + | 0.950040i | \(0.398958\pi\) | |||||||
\(998\) | −3.40871 | − | 2.28297i | −0.107901 | − | 0.0722661i | ||||
\(999\) | 8.36053 | 0.264515 |
(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 | 300.2.w.a.127.24 | ✓ | 240 | |
3.2 | odd | 2 | 900.2.bj.f.127.7 | 240 | |||
4.3 | odd | 2 | inner | 300.2.w.a.127.28 | yes | 240 | |
12.11 | even | 2 | 900.2.bj.f.127.3 | 240 | |||
25.13 | odd | 20 | inner | 300.2.w.a.163.28 | yes | 240 | |
75.38 | even | 20 | 900.2.bj.f.163.3 | 240 | |||
100.63 | even | 20 | inner | 300.2.w.a.163.24 | yes | 240 | |
300.263 | odd | 20 | 900.2.bj.f.163.7 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.w.a.127.24 | ✓ | 240 | 1.1 | even | 1 | trivial | |
300.2.w.a.127.28 | yes | 240 | 4.3 | odd | 2 | inner | |
300.2.w.a.163.24 | yes | 240 | 100.63 | even | 20 | inner | |
300.2.w.a.163.28 | yes | 240 | 25.13 | odd | 20 | inner | |
900.2.bj.f.127.3 | 240 | 12.11 | even | 2 | |||
900.2.bj.f.127.7 | 240 | 3.2 | odd | 2 | |||
900.2.bj.f.163.3 | 240 | 75.38 | even | 20 | |||
900.2.bj.f.163.7 | 240 | 300.263 | odd | 20 |