Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [786,2,Mod(17,786)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(786, base_ring=CyclotomicField(130))
chi = DirichletCharacter(H, H._module([65, 43]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("786.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 786 = 2 \cdot 3 \cdot 131 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 786.o (of order \(130\), degree \(48\), 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: | \(6.27624159887\) |
Analytic rank: | \(0\) |
Dimension: | \(1056\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{130})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{130}]$ |
Embedding invariants
Embedding label | 185.3 | ||
Character | \(\chi\) | \(=\) | 786.185 |
Dual form | 786.2.o.b.17.3 |
$q$-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 \(\left(\mathbb{Z}/786\mathbb{Z}\right)^\times\).
\(n\) | \(133\) | \(263\) |
\(\chi(n)\) | \(e\left(\frac{87}{130}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.861970 | − | 0.506960i | −0.609505 | − | 0.358475i | ||||
\(3\) | −1.53820 | + | 0.796194i | −0.888083 | + | 0.459683i | ||||
\(4\) | 0.485983 | + | 0.873968i | 0.242992 | + | 0.436984i | ||||
\(5\) | 1.12802 | + | 1.40452i | 0.504467 | + | 0.628120i | 0.965857 | − | 0.259077i | \(-0.0834184\pi\) |
−0.461390 | + | 0.887197i | \(0.652649\pi\) | |||||||
\(6\) | 1.72952 | + | 0.0935127i | 0.706075 | + | 0.0381764i | ||||
\(7\) | −1.22155 | − | 1.19238i | −0.461701 | − | 0.450676i | 0.430316 | − | 0.902679i | \(-0.358402\pi\) |
−0.892017 | + | 0.452002i | \(0.850710\pi\) | |||||||
\(8\) | 0.0241637 | − | 0.999708i | 0.00854317 | − | 0.353450i | ||||
\(9\) | 1.73215 | − | 2.44942i | 0.577383 | − | 0.816474i | ||||
\(10\) | −0.260285 | − | 1.78252i | −0.0823094 | − | 0.563681i | ||||
\(11\) | 3.68060 | − | 0.267305i | 1.10974 | − | 0.0805956i | 0.494680 | − | 0.869075i | \(-0.335285\pi\) |
0.615061 | + | 0.788479i | \(0.289131\pi\) | |||||||
\(12\) | −1.44339 | − | 0.957405i | −0.416671 | − | 0.276379i | ||||
\(13\) | −3.83443 | − | 0.559909i | −1.06348 | − | 0.155291i | −0.409887 | − | 0.912136i | \(-0.634432\pi\) |
−0.653594 | + | 0.756846i | \(0.726739\pi\) | |||||||
\(14\) | 0.448449 | + | 1.64707i | 0.119853 | + | 0.440198i | ||||
\(15\) | −2.85340 | − | 1.26231i | −0.736744 | − | 0.325928i | ||||
\(16\) | −0.527640 | + | 0.849468i | −0.131910 | + | 0.212367i | ||||
\(17\) | −2.51364 | − | 2.97936i | −0.609647 | − | 0.722600i | 0.368705 | − | 0.929546i | \(-0.379801\pi\) |
−0.978352 | + | 0.206946i | \(0.933647\pi\) | |||||||
\(18\) | −2.73482 | + | 1.23320i | −0.644603 | + | 0.290667i | ||||
\(19\) | −0.265851 | − | 1.07860i | −0.0609903 | − | 0.247448i | 0.932532 | − | 0.361089i | \(-0.117595\pi\) |
−0.993522 | + | 0.113641i | \(0.963749\pi\) | |||||||
\(20\) | −0.679306 | + | 1.66843i | −0.151897 | + | 0.373072i | ||||
\(21\) | 2.82835 | + | 0.861533i | 0.617197 | + | 0.188002i | ||||
\(22\) | −3.30808 | − | 1.63551i | −0.705284 | − | 0.348691i | ||||
\(23\) | 4.18772 | − | 1.47346i | 0.873200 | − | 0.307239i | 0.142382 | − | 0.989812i | \(-0.454524\pi\) |
0.730817 | + | 0.682573i | \(0.239139\pi\) | |||||||
\(24\) | 0.758793 | + | 1.55699i | 0.154888 | + | 0.317820i | ||||
\(25\) | 0.378678 | − | 1.71355i | 0.0757356 | − | 0.342710i | ||||
\(26\) | 3.02131 | + | 2.42653i | 0.592528 | + | 0.475881i | ||||
\(27\) | −0.714185 | + | 5.14684i | −0.137445 | + | 0.990509i | ||||
\(28\) | 0.448449 | − | 1.64707i | 0.0847488 | − | 0.311267i | ||||
\(29\) | −1.65892 | + | 3.80827i | −0.308054 | + | 0.707178i | −0.999889 | − | 0.0148777i | \(-0.995264\pi\) |
0.691835 | + | 0.722056i | \(0.256803\pi\) | |||||||
\(30\) | 1.81960 | + | 2.53464i | 0.332212 | + | 0.462759i | ||||
\(31\) | 1.12262 | + | 3.76206i | 0.201628 | + | 0.675685i | 0.997529 | + | 0.0702581i | \(0.0223823\pi\) |
−0.795901 | + | 0.605427i | \(0.793002\pi\) | |||||||
\(32\) | 0.885456 | − | 0.464723i | 0.156528 | − | 0.0821522i | ||||
\(33\) | −5.44868 | + | 3.34164i | −0.948494 | + | 0.581705i | ||||
\(34\) | 0.656268 | + | 3.84243i | 0.112549 | + | 0.658971i | ||||
\(35\) | 0.296787 | − | 3.06071i | 0.0501662 | − | 0.517355i | ||||
\(36\) | 2.98251 | + | 0.323465i | 0.497085 | + | 0.0539108i | ||||
\(37\) | −1.98229 | − | 10.1254i | −0.325887 | − | 1.66461i | −0.682903 | − | 0.730509i | \(-0.739283\pi\) |
0.357016 | − | 0.934098i | \(-0.383794\pi\) | |||||||
\(38\) | −0.317651 | + | 1.06450i | −0.0515298 | + | 0.172684i | ||||
\(39\) | 6.34394 | − | 2.19170i | 1.01584 | − | 0.350953i | ||||
\(40\) | 1.43137 | − | 1.09375i | 0.226319 | − | 0.172938i | ||||
\(41\) | 4.03694 | − | 2.50751i | 0.630464 | − | 0.391608i | −0.174732 | − | 0.984616i | \(-0.555906\pi\) |
0.805196 | + | 0.593008i | \(0.202060\pi\) | |||||||
\(42\) | −2.00119 | − | 2.17648i | −0.308791 | − | 0.335838i | ||||
\(43\) | 12.4454 | − | 0.601982i | 1.89791 | − | 0.0918014i | 0.933876 | − | 0.357597i | \(-0.116404\pi\) |
0.964029 | + | 0.265796i | \(0.0856347\pi\) | |||||||
\(44\) | 2.02233 | + | 3.08682i | 0.304877 | + | 0.465355i | ||||
\(45\) | 5.39416 | − | 0.330162i | 0.804114 | − | 0.0492177i | ||||
\(46\) | −4.35667 | − | 0.852923i | −0.642357 | − | 0.125757i | ||||
\(47\) | −2.35498 | + | 2.08633i | −0.343509 | + | 0.304322i | −0.817183 | − | 0.576378i | \(-0.804466\pi\) |
0.473675 | + | 0.880700i | \(0.342927\pi\) | |||||||
\(48\) | 0.135277 | − | 1.72676i | 0.0195256 | − | 0.249236i | ||||
\(49\) | −0.0987345 | − | 4.08487i | −0.0141049 | − | 0.583552i | ||||
\(50\) | −1.19511 | + | 1.28505i | −0.169014 | + | 0.181734i | ||||
\(51\) | 6.23864 | + | 2.58151i | 0.873584 | + | 0.361484i | ||||
\(52\) | −1.37413 | − | 3.62328i | −0.190557 | − | 0.502458i | ||||
\(53\) | 11.0057 | − | 3.57596i | 1.51175 | − | 0.491196i | 0.568329 | − | 0.822802i | \(-0.307590\pi\) |
0.943418 | + | 0.331605i | \(0.107590\pi\) | |||||||
\(54\) | 3.22485 | − | 4.07436i | 0.438846 | − | 0.554450i | ||||
\(55\) | 4.52723 | + | 4.86794i | 0.610451 | + | 0.656393i | ||||
\(56\) | −1.22155 | + | 1.19238i | −0.163236 | + | 0.159338i | ||||
\(57\) | 1.26771 | + | 1.44744i | 0.167912 | + | 0.191718i | ||||
\(58\) | 3.36058 | − | 2.44161i | 0.441266 | − | 0.320599i | ||||
\(59\) | 4.43381 | + | 10.8898i | 0.577233 | + | 1.41773i | 0.884696 | + | 0.466169i | \(0.154366\pi\) |
−0.307463 | + | 0.951560i | \(0.599480\pi\) | |||||||
\(60\) | −0.283482 | − | 3.10724i | −0.0365974 | − | 0.401143i | ||||
\(61\) | 2.20491 | + | 1.60196i | 0.282309 | + | 0.205110i | 0.719924 | − | 0.694053i | \(-0.244177\pi\) |
−0.437615 | + | 0.899163i | \(0.644177\pi\) | |||||||
\(62\) | 0.939549 | − | 3.81190i | 0.119323 | − | 0.484112i | ||||
\(63\) | −5.03654 | + | 0.926706i | −0.634544 | + | 0.116754i | ||||
\(64\) | −0.998832 | − | 0.0483134i | −0.124854 | − | 0.00603917i | ||||
\(65\) | −3.53892 | − | 6.01713i | −0.438949 | − | 0.746333i | ||||
\(66\) | 6.39068 | − | 0.118129i | 0.786638 | − | 0.0145407i | ||||
\(67\) | 0.446956 | − | 9.24039i | 0.0546044 | − | 1.12889i | −0.796752 | − | 0.604306i | \(-0.793450\pi\) |
0.851357 | − | 0.524587i | \(-0.175780\pi\) | |||||||
\(68\) | 1.38227 | − | 3.64476i | 0.167625 | − | 0.441992i | ||||
\(69\) | −5.26841 | + | 5.60073i | −0.634241 | + | 0.674249i | ||||
\(70\) | −1.80748 | + | 2.48778i | −0.216035 | + | 0.297347i | ||||
\(71\) | −0.803888 | − | 1.16463i | −0.0954040 | − | 0.138217i | 0.772375 | − | 0.635167i | \(-0.219069\pi\) |
−0.867779 | + | 0.496950i | \(0.834453\pi\) | |||||||
\(72\) | −2.40685 | − | 1.79083i | −0.283650 | − | 0.211051i | ||||
\(73\) | −7.16109 | − | 9.85640i | −0.838142 | − | 1.15360i | −0.986352 | − | 0.164648i | \(-0.947351\pi\) |
0.148210 | − | 0.988956i | \(-0.452649\pi\) | |||||||
\(74\) | −3.42450 | + | 9.73274i | −0.398090 | + | 1.13141i | ||||
\(75\) | 0.781833 | + | 2.93729i | 0.0902784 | + | 0.339169i | ||||
\(76\) | 0.813462 | − | 0.756526i | 0.0933105 | − | 0.0867795i | ||||
\(77\) | −4.81475 | − | 4.06214i | −0.548692 | − | 0.462923i | ||||
\(78\) | −6.57939 | − | 1.32694i | −0.744969 | − | 0.150247i | ||||
\(79\) | 1.42863 | − | 0.541808i | 0.160733 | − | 0.0609581i | −0.272926 | − | 0.962035i | \(-0.587991\pi\) |
0.433659 | + | 0.901077i | \(0.357222\pi\) | |||||||
\(80\) | −1.78828 | + | 0.217137i | −0.199936 | + | 0.0242767i | ||||
\(81\) | −2.99932 | − | 8.48552i | −0.333258 | − | 0.942836i | ||||
\(82\) | −4.75093 | + | 0.114834i | −0.524652 | + | 0.0126813i | ||||
\(83\) | 3.89452 | − | 1.80968i | 0.427479 | − | 0.198638i | −0.195790 | − | 0.980646i | \(-0.562727\pi\) |
0.623269 | + | 0.782007i | \(0.285804\pi\) | |||||||
\(84\) | 0.621581 | + | 2.89058i | 0.0678201 | + | 0.315388i | ||||
\(85\) | 1.34912 | − | 6.89124i | 0.146333 | − | 0.747459i | ||||
\(86\) | −11.0327 | − | 5.79043i | −1.18969 | − | 0.624398i | ||||
\(87\) | −0.480359 | − | 7.17873i | −0.0514999 | − | 0.769640i | ||||
\(88\) | −0.178290 | − | 3.68598i | −0.0190058 | − | 0.392927i | ||||
\(89\) | 10.8208 | + | 3.51588i | 1.14700 | + | 0.372683i | 0.820012 | − | 0.572346i | \(-0.193967\pi\) |
0.326987 | + | 0.945029i | \(0.393967\pi\) | |||||||
\(90\) | −4.81698 | − | 2.45003i | −0.507754 | − | 0.258256i | ||||
\(91\) | 4.01632 | + | 5.25605i | 0.421024 | + | 0.550984i | ||||
\(92\) | 3.32292 | + | 2.94385i | 0.346439 | + | 0.306918i | ||||
\(93\) | −4.72214 | − | 4.89299i | −0.489664 | − | 0.507380i | ||||
\(94\) | 3.08760 | − | 0.604473i | 0.318462 | − | 0.0623466i | ||||
\(95\) | 1.21503 | − | 1.59008i | 0.124659 | − | 0.163138i | ||||
\(96\) | −0.992003 | + | 1.41983i | −0.101246 | + | 0.144911i | ||||
\(97\) | 11.7357 | − | 2.00440i | 1.19158 | − | 0.203516i | 0.461665 | − | 0.887054i | \(-0.347252\pi\) |
0.729915 | + | 0.683538i | \(0.239560\pi\) | |||||||
\(98\) | −1.98576 | + | 3.57108i | −0.200592 | + | 0.360734i | ||||
\(99\) | 5.72060 | − | 9.47834i | 0.574942 | − | 0.952609i | ||||
\(100\) | 1.68162 | − | 0.501804i | 0.168162 | − | 0.0501804i | ||||
\(101\) | −0.998002 | + | 2.14775i | −0.0993049 | + | 0.213709i | −0.950210 | − | 0.311611i | \(-0.899131\pi\) |
0.850905 | + | 0.525320i | \(0.176054\pi\) | |||||||
\(102\) | −4.06880 | − | 5.38793i | −0.402871 | − | 0.533484i | ||||
\(103\) | 6.59725 | + | 1.79624i | 0.650046 | + | 0.176989i | 0.572377 | − | 0.819991i | \(-0.306021\pi\) |
0.0776693 | + | 0.996979i | \(0.475252\pi\) | |||||||
\(104\) | −0.652400 | + | 3.81978i | −0.0639731 | + | 0.374561i | ||||
\(105\) | 1.98040 | + | 4.94431i | 0.193268 | + | 0.482515i | ||||
\(106\) | −11.2994 | − | 2.49707i | −1.09750 | − | 0.242537i | ||||
\(107\) | −1.64640 | − | 1.13643i | −0.159164 | − | 0.109863i | 0.485821 | − | 0.874058i | \(-0.338521\pi\) |
−0.644984 | + | 0.764196i | \(0.723136\pi\) | |||||||
\(108\) | −4.84525 | + | 1.87710i | −0.466235 | + | 0.180624i | ||||
\(109\) | 1.62243 | − | 3.28162i | 0.155400 | − | 0.314322i | −0.804843 | − | 0.593488i | \(-0.797750\pi\) |
0.960243 | + | 0.279166i | \(0.0900580\pi\) | |||||||
\(110\) | −1.43448 | − | 6.49114i | −0.136772 | − | 0.618906i | ||||
\(111\) | 11.1110 | + | 13.9967i | 1.05461 | + | 1.32851i | ||||
\(112\) | 1.65742 | − | 0.408518i | 0.156612 | − | 0.0386014i | ||||
\(113\) | −13.0146 | − | 1.58025i | −1.22431 | − | 0.148658i | −0.517263 | − | 0.855827i | \(-0.673049\pi\) |
−0.707045 | + | 0.707169i | \(0.749972\pi\) | |||||||
\(114\) | −0.358933 | − | 1.89032i | −0.0336171 | − | 0.177045i | ||||
\(115\) | 6.79335 | + | 4.21963i | 0.633483 | + | 0.393483i | ||||
\(116\) | −4.13452 | + | 0.400910i | −0.383880 | + | 0.0372236i | ||||
\(117\) | −8.01326 | + | 8.42229i | −0.740826 | + | 0.778641i | ||||
\(118\) | 1.69887 | − | 11.6344i | 0.156394 | − | 1.07104i | ||||
\(119\) | −0.481989 | + | 6.63663i | −0.0441839 | + | 0.608379i | ||||
\(120\) | −1.33089 | + | 2.82206i | −0.121494 | + | 0.257618i | ||||
\(121\) | 2.59077 | − | 0.378307i | 0.235524 | − | 0.0343916i | ||||
\(122\) | −1.08843 | − | 2.49864i | −0.0985422 | − | 0.226216i | ||||
\(123\) | −4.21317 | + | 7.07126i | −0.379889 | + | 0.637594i | ||||
\(124\) | −2.74234 | + | 2.80943i | −0.246270 | + | 0.252294i | ||||
\(125\) | 10.9081 | − | 5.39293i | 0.975647 | − | 0.482358i | ||||
\(126\) | 4.81114 | + | 1.75453i | 0.428611 | + | 0.156306i | ||||
\(127\) | −15.5970 | + | 8.67294i | −1.38401 | + | 0.769599i | −0.988836 | − | 0.149007i | \(-0.952392\pi\) |
−0.395173 | + | 0.918607i | \(0.629315\pi\) | |||||||
\(128\) | 0.836470 | + | 0.548013i | 0.0739342 | + | 0.0484379i | ||||
\(129\) | −18.6643 | + | 10.8349i | −1.64330 | + | 0.953962i | ||||
\(130\) | 6.98067i | 0.612245i | ||||||||
\(131\) | 0.881043 | − | 11.4116i | 0.0769771 | − | 0.997033i | ||||
\(132\) | −5.56846 | − | 3.13799i | −0.484672 | − | 0.273127i | ||||
\(133\) | −0.961348 | + | 1.63455i | −0.0833595 | + | 0.141734i | ||||
\(134\) | −5.06977 | + | 7.73834i | −0.437961 | + | 0.668491i | ||||
\(135\) | −8.03445 | + | 4.80266i | −0.691495 | + | 0.413347i | ||||
\(136\) | −3.03923 | + | 2.44091i | −0.260611 | + | 0.209307i | ||||
\(137\) | −1.26025 | − | 2.54906i | −0.107671 | − | 0.217781i | 0.835954 | − | 0.548800i | \(-0.184915\pi\) |
−0.943624 | + | 0.331019i | \(0.892608\pi\) | |||||||
\(138\) | 7.38055 | − | 2.15679i | 0.628274 | − | 0.183598i | ||||
\(139\) | 8.16987 | + | 0.197472i | 0.692960 | + | 0.0167494i | 0.369146 | − | 0.929371i | \(-0.379650\pi\) |
0.323814 | + | 0.946121i | \(0.395035\pi\) | |||||||
\(140\) | 2.81920 | − | 1.22807i | 0.238266 | − | 0.103791i | ||||
\(141\) | 1.96132 | − | 5.08422i | 0.165173 | − | 0.428169i | ||||
\(142\) | 0.102505 | + | 1.41142i | 0.00860203 | + | 0.118444i | ||||
\(143\) | −14.2627 | − | 1.03583i | −1.19270 | − | 0.0866208i | ||||
\(144\) | 1.16675 | + | 2.76382i | 0.0972294 | + | 0.230318i | ||||
\(145\) | −7.22009 | + | 1.96582i | −0.599596 | + | 0.163252i | ||||
\(146\) | 1.17585 | + | 12.1263i | 0.0973137 | + | 1.00358i | ||||
\(147\) | 3.40422 | + | 6.20475i | 0.280775 | + | 0.511759i | ||||
\(148\) | 7.88593 | − | 6.65324i | 0.648219 | − | 0.546893i | ||||
\(149\) | −0.548512 | + | 4.51740i | −0.0449358 | + | 0.370080i | 0.952843 | + | 0.303464i | \(0.0981433\pi\) |
−0.997779 | + | 0.0666158i | \(0.978780\pi\) | |||||||
\(150\) | 0.815171 | − | 2.92821i | 0.0665584 | − | 0.239088i | ||||
\(151\) | 8.22718 | + | 3.34972i | 0.669519 | + | 0.272597i | 0.686360 | − | 0.727262i | \(-0.259207\pi\) |
−0.0168417 | + | 0.999858i | \(0.505361\pi\) | |||||||
\(152\) | −1.08471 | + | 0.239710i | −0.0879814 | + | 0.0194431i | ||||
\(153\) | −11.6517 | + | 0.996274i | −0.941984 | + | 0.0805439i | ||||
\(154\) | 2.09083 | + | 5.94232i | 0.168484 | + | 0.478846i | ||||
\(155\) | −4.01755 | + | 5.82042i | −0.322697 | + | 0.467507i | ||||
\(156\) | 4.99853 | + | 4.47927i | 0.400202 | + | 0.358629i | ||||
\(157\) | −1.77356 | + | 2.20830i | −0.141546 | + | 0.176241i | −0.845451 | − | 0.534052i | \(-0.820669\pi\) |
0.703906 | + | 0.710293i | \(0.251438\pi\) | |||||||
\(158\) | −1.50611 | − | 0.257236i | −0.119820 | − | 0.0204646i | ||||
\(159\) | −14.0818 | + | 14.2632i | −1.11676 | + | 1.13115i | ||||
\(160\) | 1.65153 | + | 0.719423i | 0.130565 | + | 0.0568754i | ||||
\(161\) | −6.87242 | − | 3.19344i | −0.541623 | − | 0.251678i | ||||
\(162\) | −1.71649 | + | 8.83480i | −0.134861 | + | 0.694127i | ||||
\(163\) | 9.93934 | + | 18.9378i | 0.778509 | + | 1.48333i | 0.872958 | + | 0.487795i | \(0.162199\pi\) |
−0.0944488 | + | 0.995530i | \(0.530109\pi\) | |||||||
\(164\) | 4.15337 | + | 2.30955i | 0.324324 | + | 0.180345i | ||||
\(165\) | −10.8396 | − | 3.88334i | −0.843864 | − | 0.302318i | ||||
\(166\) | −4.27439 | − | 0.414473i | −0.331757 | − | 0.0321694i | ||||
\(167\) | 2.91036 | + | 2.22390i | 0.225211 | + | 0.172091i | 0.713640 | − | 0.700513i | \(-0.247045\pi\) |
−0.488429 | + | 0.872604i | \(0.662430\pi\) | |||||||
\(168\) | 0.929625 | − | 2.80671i | 0.0717221 | − | 0.216542i | ||||
\(169\) | 1.93219 | + | 0.576575i | 0.148630 | + | 0.0443520i | ||||
\(170\) | −4.65648 | + | 5.25608i | −0.357136 | + | 0.403123i | ||||
\(171\) | −3.10244 | − | 1.21711i | −0.237249 | − | 0.0930750i | ||||
\(172\) | 6.57437 | + | 10.5843i | 0.501291 | + | 0.807047i | ||||
\(173\) | −7.00213 | + | 21.5503i | −0.532362 | + | 1.63844i | 0.216919 | + | 0.976190i | \(0.430399\pi\) |
−0.749281 | + | 0.662253i | \(0.769601\pi\) | |||||||
\(174\) | −3.22527 | + | 6.43137i | −0.244507 | + | 0.487561i | ||||
\(175\) | −2.50577 | + | 1.64165i | −0.189418 | + | 0.124097i | ||||
\(176\) | −1.71496 | + | 3.26759i | −0.129270 | + | 0.246304i | ||||
\(177\) | −15.4905 | − | 13.2205i | −1.16434 | − | 0.993717i | ||||
\(178\) | −7.54476 | − | 8.51628i | −0.565504 | − | 0.638322i | ||||
\(179\) | −0.872060 | − | 1.87671i | −0.0651808 | − | 0.140272i | 0.871568 | − | 0.490275i | \(-0.163104\pi\) |
−0.936749 | + | 0.350003i | \(0.886181\pi\) | |||||||
\(180\) | 2.91002 | + | 4.55387i | 0.216900 | + | 0.339425i | ||||
\(181\) | −7.23232 | − | 6.72612i | −0.537574 | − | 0.499948i | 0.364692 | − | 0.931128i | \(-0.381174\pi\) |
−0.902266 | + | 0.431180i | \(0.858097\pi\) | |||||||
\(182\) | −0.797338 | − | 6.56667i | −0.0591026 | − | 0.486754i | ||||
\(183\) | −4.66707 | − | 0.708606i | −0.345000 | − | 0.0523817i | ||||
\(184\) | −1.37184 | − | 4.22210i | −0.101134 | − | 0.311257i | ||||
\(185\) | 11.9853 | − | 14.2059i | 0.881175 | − | 1.04444i | ||||
\(186\) | 1.58980 | + | 6.61155i | 0.116569 | + | 0.484782i | ||||
\(187\) | −10.0481 | − | 10.2939i | −0.734789 | − | 0.752764i | ||||
\(188\) | −2.96786 | − | 1.04425i | −0.216454 | − | 0.0761601i | ||||
\(189\) | 7.00939 | − | 5.43553i | 0.509858 | − | 0.395376i | ||||
\(190\) | −1.85342 | + | 0.754626i | −0.134461 | + | 0.0547463i | ||||
\(191\) | −7.35786 | + | 5.07877i | −0.532396 | + | 0.367487i | −0.803726 | − | 0.595000i | \(-0.797152\pi\) |
0.271329 | + | 0.962487i | \(0.412537\pi\) | |||||||
\(192\) | 1.57488 | − | 0.720949i | 0.113657 | − | 0.0520300i | ||||
\(193\) | 11.9942 | + | 2.95631i | 0.863363 | + | 0.212800i | 0.646043 | − | 0.763301i | \(-0.276422\pi\) |
0.217320 | + | 0.976101i | \(0.430269\pi\) | |||||||
\(194\) | −11.1320 | − | 4.22180i | −0.799229 | − | 0.303107i | ||||
\(195\) | 10.2344 | + | 6.43791i | 0.732900 | + | 0.461028i | ||||
\(196\) | 3.52206 | − | 2.07147i | 0.251576 | − | 0.147962i | ||||
\(197\) | 0.628683 | − | 0.369754i | 0.0447918 | − | 0.0263439i | −0.484393 | − | 0.874851i | \(-0.660959\pi\) |
0.529185 | + | 0.848507i | \(0.322498\pi\) | |||||||
\(198\) | −9.73612 | + | 5.26993i | −0.691916 | + | 0.374518i | ||||
\(199\) | −14.1698 | − | 5.37389i | −1.00447 | − | 0.380945i | −0.203128 | − | 0.979152i | \(-0.565111\pi\) |
−0.801341 | + | 0.598208i | \(0.795880\pi\) | |||||||
\(200\) | −1.70390 | − | 0.419973i | −0.120484 | − | 0.0296966i | ||||
\(201\) | 6.66964 | + | 14.5695i | 0.470440 | + | 1.02765i | ||||
\(202\) | 1.94907 | − | 1.34534i | 0.137136 | − | 0.0946581i | ||||
\(203\) | 6.56735 | − | 2.67392i | 0.460938 | − | 0.187672i | ||||
\(204\) | 0.775715 | + | 6.70695i | 0.0543109 | + | 0.469580i | ||||
\(205\) | 8.07560 | + | 2.84143i | 0.564025 | + | 0.198454i | ||||
\(206\) | −4.77601 | − | 4.89284i | −0.332760 | − | 0.340901i | ||||
\(207\) | 3.64462 | − | 12.8097i | 0.253318 | − | 0.890339i | ||||
\(208\) | 2.49883 | − | 2.96180i | 0.173262 | − | 0.205364i | ||||
\(209\) | −1.26680 | − | 3.89882i | −0.0876267 | − | 0.269687i | ||||
\(210\) | 0.799516 | − | 5.26583i | 0.0551718 | − | 0.363377i | ||||
\(211\) | −0.875706 | − | 7.21209i | −0.0602861 | − | 0.496500i | −0.991310 | − | 0.131543i | \(-0.958007\pi\) |
0.931024 | − | 0.364957i | \(-0.118916\pi\) | |||||||
\(212\) | 8.47386 | + | 7.88076i | 0.581987 | + | 0.541253i | ||||
\(213\) | 2.16382 | + | 1.15139i | 0.148262 | + | 0.0788922i | ||||
\(214\) | 0.843024 | + | 1.81423i | 0.0576279 | + | 0.124018i | ||||
\(215\) | 14.8842 | + | 16.8008i | 1.01509 | + | 1.14580i | ||||
\(216\) | 5.12808 | + | 0.838343i | 0.348921 | + | 0.0570420i | ||||
\(217\) | 3.11446 | − | 5.93411i | 0.211423 | − | 0.402834i | ||||
\(218\) | −3.06213 | + | 2.00615i | −0.207394 | + | 0.135874i | ||||
\(219\) | 18.8628 | + | 9.45954i | 1.27463 | + | 0.639216i | ||||
\(220\) | −2.05427 | + | 6.32239i | −0.138499 | + | 0.426256i | ||||
\(221\) | 7.97022 | + | 12.8316i | 0.536135 | + | 0.863144i | ||||
\(222\) | −2.48157 | − | 17.6975i | −0.166552 | − | 1.18778i | ||||
\(223\) | −11.9240 | + | 13.4594i | −0.798491 | + | 0.901310i | −0.996890 | − | 0.0788112i | \(-0.974888\pi\) |
0.198398 | + | 0.980121i | \(0.436426\pi\) | |||||||
\(224\) | −1.63575 | − | 0.488117i | −0.109293 | − | 0.0326137i | ||||
\(225\) | −3.54127 | − | 3.89566i | −0.236085 | − | 0.259711i | ||||
\(226\) | 10.4170 | + | 7.95999i | 0.692931 | + | 0.529491i | ||||
\(227\) | −13.6517 | − | 1.32376i | −0.906096 | − | 0.0878611i | −0.367112 | − | 0.930177i | \(-0.619653\pi\) |
−0.538984 | + | 0.842316i | \(0.681192\pi\) | |||||||
\(228\) | −0.648929 | + | 1.81137i | −0.0429764 | + | 0.119961i | ||||
\(229\) | −11.7870 | − | 6.55434i | −0.778906 | − | 0.433123i | 0.0456112 | − | 0.998959i | \(-0.485476\pi\) |
−0.824518 | + | 0.565836i | \(0.808553\pi\) | |||||||
\(230\) | −3.71647 | − | 7.08115i | −0.245057 | − | 0.466917i | ||||
\(231\) | 10.6403 | + | 2.41492i | 0.700082 | + | 0.158890i | ||||
\(232\) | 3.76707 | + | 1.75046i | 0.247320 | + | 0.114923i | ||||
\(233\) | −9.95761 | − | 4.33764i | −0.652345 | − | 0.284169i | 0.0470622 | − | 0.998892i | \(-0.485014\pi\) |
−0.699407 | + | 0.714723i | \(0.746553\pi\) | |||||||
\(234\) | 11.1770 | − | 3.19736i | 0.730660 | − | 0.209018i | ||||
\(235\) | −5.58676 | − | 0.954190i | −0.364440 | − | 0.0622445i | ||||
\(236\) | −7.36256 | + | 9.16726i | −0.479262 | + | 0.596738i | ||||
\(237\) | −1.76614 | + | 1.97088i | −0.114723 | + | 0.128022i | ||||
\(238\) | 3.77997 | − | 5.47623i | 0.245019 | − | 0.354971i | ||||
\(239\) | −9.94220 | − | 28.2566i | −0.643107 | − | 1.82777i | −0.555333 | − | 0.831628i | \(-0.687409\pi\) |
−0.0877748 | − | 0.996140i | \(-0.527976\pi\) | |||||||
\(240\) | 2.57786 | − | 1.75782i | 0.166400 | − | 0.113467i | ||||
\(241\) | −1.40878 | + | 0.311327i | −0.0907475 | + | 0.0200543i | −0.260925 | − | 0.965359i | \(-0.584027\pi\) |
0.170177 | + | 0.985413i | \(0.445566\pi\) | |||||||
\(242\) | −2.42495 | − | 0.987326i | −0.155882 | − | 0.0634677i | ||||
\(243\) | 11.3697 | + | 10.6644i | 0.729366 | + | 0.684123i | ||||
\(244\) | −0.328512 | + | 2.70554i | −0.0210309 | + | 0.173205i | ||||
\(245\) | 5.62590 | − | 4.74649i | 0.359426 | − | 0.303242i | ||||
\(246\) | 7.21647 | − | 3.95930i | 0.460105 | − | 0.252436i | ||||
\(247\) | 0.415470 | + | 4.28467i | 0.0264357 | + | 0.272627i | ||||
\(248\) | 3.78808 | − | 1.03138i | 0.240544 | − | 0.0654930i | ||||
\(249\) | −4.54971 | + | 5.88446i | −0.288326 | + | 0.372912i | ||||
\(250\) | −12.1364 | − | 0.881415i | −0.767575 | − | 0.0557456i | ||||
\(251\) | −1.84073 | − | 25.3454i | −0.116186 | − | 1.59979i | −0.653845 | − | 0.756628i | \(-0.726845\pi\) |
0.537659 | − | 0.843162i | \(-0.319309\pi\) | |||||||
\(252\) | −3.25758 | − | 3.95141i | −0.205209 | − | 0.248915i | ||||
\(253\) | 15.0194 | − | 6.54263i | 0.944264 | − | 0.411332i | ||||
\(254\) | 17.8410 | + | 0.431230i | 1.11944 | + | 0.0270578i | ||||
\(255\) | 3.41153 | + | 11.6743i | 0.213639 | + | 0.731073i | ||||
\(256\) | −0.443192 | − | 0.896427i | −0.0276995 | − | 0.0560267i | ||||
\(257\) | 11.9521 | − | 9.59918i | 0.745553 | − | 0.598781i | −0.177199 | − | 0.984175i | \(-0.556704\pi\) |
0.922752 | + | 0.385394i | \(0.125935\pi\) | |||||||
\(258\) | 21.5809 | + | 0.122659i | 1.34357 | + | 0.00763642i | ||||
\(259\) | −9.65186 | + | 14.7323i | −0.599737 | + | 0.915421i | ||||
\(260\) | 3.53892 | − | 6.01713i | 0.219475 | − | 0.373166i | ||||
\(261\) | 6.45455 | + | 10.6599i | 0.399527 | + | 0.659831i | ||||
\(262\) | −6.54464 | + | 9.38977i | −0.404329 | + | 0.580102i | ||||
\(263\) | − | 27.6185i | − | 1.70303i | −0.524333 | − | 0.851514i | \(-0.675685\pi\) | ||
0.524333 | − | 0.851514i | \(-0.324315\pi\) | |||||||
\(264\) | 3.20900 | + | 5.52784i | 0.197501 | + | 0.340215i | ||||
\(265\) | 17.4372 | + | 11.4239i | 1.07116 | + | 0.701767i | ||||
\(266\) | 1.65731 | − | 0.921571i | 0.101616 | − | 0.0565051i | ||||
\(267\) | −19.4439 | + | 3.20729i | −1.18995 | + | 0.196283i | ||||
\(268\) | 8.29302 | − | 4.10005i | 0.506577 | − | 0.250450i | ||||
\(269\) | −13.2533 | + | 13.5775i | −0.808070 | + | 0.827838i | −0.987776 | − | 0.155883i | \(-0.950178\pi\) |
0.179706 | + | 0.983720i | \(0.442485\pi\) | |||||||
\(270\) | 9.36021 | − | 0.0666011i | 0.569644 | − | 0.00405321i | ||||
\(271\) | −9.71024 | − | 22.2911i | −0.589855 | − | 1.35409i | −0.913086 | − | 0.407767i | \(-0.866308\pi\) |
0.323231 | − | 0.946320i | \(-0.395231\pi\) | |||||||
\(272\) | 3.85717 | − | 0.563228i | 0.233875 | − | 0.0341507i | ||||
\(273\) | −10.3628 | − | 4.88711i | −0.627183 | − | 0.295781i | ||||
\(274\) | −0.205974 | + | 2.83611i | −0.0124434 | + | 0.171336i | ||||
\(275\) | 0.935720 | − | 6.40810i | 0.0564260 | − | 0.386423i | ||||
\(276\) | −7.45522 | − | 1.88256i | −0.448751 | − | 0.113317i | ||||
\(277\) | 8.72645 | − | 0.846174i | 0.524321 | − | 0.0508416i | 0.169055 | − | 0.985607i | \(-0.445929\pi\) |
0.355267 | + | 0.934765i | \(0.384390\pi\) | |||||||
\(278\) | −6.94207 | − | 4.31201i | −0.416358 | − | 0.258617i | ||||
\(279\) | 11.1594 | + | 3.76668i | 0.668096 | + | 0.225505i | ||||
\(280\) | −3.05265 | − | 0.370659i | −0.182431 | − | 0.0221511i | ||||
\(281\) | −5.59325 | + | 1.37861i | −0.333665 | + | 0.0822411i | −0.402589 | − | 0.915381i | \(-0.631890\pi\) |
0.0689237 | + | 0.997622i | \(0.478043\pi\) | |||||||
\(282\) | −4.26809 | + | 3.38814i | −0.254161 | + | 0.201761i | ||||
\(283\) | 0.598665 | + | 2.70901i | 0.0355869 | + | 0.161034i | 0.990909 | − | 0.134532i | \(-0.0429533\pi\) |
−0.955322 | + | 0.295566i | \(0.904492\pi\) | |||||||
\(284\) | 0.627176 | − | 1.26857i | 0.0372160 | − | 0.0752755i | ||||
\(285\) | −0.602953 | + | 3.41326i | −0.0357158 | + | 0.202184i | ||||
\(286\) | 11.7689 | + | 8.12346i | 0.695907 | + | 0.480350i | ||||
\(287\) | −7.92121 | − | 1.75051i | −0.467574 | − | 0.103329i | ||||
\(288\) | 0.395439 | − | 2.97382i | 0.0233015 | − | 0.175234i | ||||
\(289\) | 0.303893 | − | 1.77928i | 0.0178760 | − | 0.104664i | ||||
\(290\) | 7.22009 | + | 1.96582i | 0.423978 | + | 0.115437i | ||||
\(291\) | −16.4560 | + | 12.4271i | −0.964669 | + | 0.728488i | ||||
\(292\) | 5.13400 | − | 11.0486i | 0.300445 | − | 0.646571i | ||||
\(293\) | 8.29710 | − | 2.47590i | 0.484722 | − | 0.144644i | −0.0342878 | − | 0.999412i | \(-0.510916\pi\) |
0.519010 | + | 0.854768i | \(0.326301\pi\) | |||||||
\(294\) | 0.211223 | − | 7.07411i | 0.0123188 | − | 0.412570i | ||||
\(295\) | −10.2935 | + | 18.5113i | −0.599310 | + | 1.07777i | ||||
\(296\) | −10.1704 | + | 1.73705i | −0.591140 | + | 0.100964i | ||||
\(297\) | −1.25285 | + | 19.1343i | −0.0726976 | + | 1.11029i | ||||
\(298\) | 2.76294 | − | 3.61579i | 0.160053 | − | 0.209457i | ||||
\(299\) | −16.8825 | + | 3.30516i | −0.976342 | + | 0.191142i | ||||
\(300\) | −2.18714 | + | 2.11077i | −0.126275 | + | 0.121865i | ||||
\(301\) | −15.9204 | − | 14.1043i | −0.917638 | − | 0.812956i | ||||
\(302\) | −5.39341 | − | 7.05821i | −0.310356 | − | 0.406154i | ||||
\(303\) | −0.174892 | − | 4.09828i | −0.0100473 | − | 0.235440i | ||||
\(304\) | 1.05651 | + | 0.343280i | 0.0605949 | + | 0.0196885i | ||||
\(305\) | 0.237200 | + | 4.90388i | 0.0135820 | + | 0.280795i | ||||
\(306\) | 10.5485 | + | 5.04818i | 0.603016 | + | 0.288585i | ||||
\(307\) | −14.6814 | − | 7.70541i | −0.837913 | − | 0.439771i | −0.00954492 | − | 0.999954i | \(-0.503038\pi\) |
−0.828369 | + | 0.560184i | \(0.810731\pi\) | |||||||
\(308\) | 1.21029 | − | 6.18207i | 0.0689626 | − | 0.352256i | ||||
\(309\) | −11.5781 | + | 2.48971i | −0.658654 | + | 0.141635i | ||||
\(310\) | 6.41372 | − | 2.98029i | 0.364275 | − | 0.169269i | ||||
\(311\) | 29.1241 | − | 0.703952i | 1.65147 | − | 0.0399175i | 0.812116 | − | 0.583496i | \(-0.198316\pi\) |
0.839358 | + | 0.543578i | \(0.182931\pi\) | |||||||
\(312\) | −2.03777 | − | 6.39505i | −0.115366 | − | 0.362048i | ||||
\(313\) | −11.6410 | + | 1.41347i | −0.657987 | + | 0.0798941i | −0.442718 | − | 0.896661i | \(-0.645986\pi\) |
−0.215269 | + | 0.976555i | \(0.569063\pi\) | |||||||
\(314\) | 2.64828 | − | 1.00436i | 0.149451 | − | 0.0566792i | ||||
\(315\) | −6.98290 | − | 6.02857i | −0.393442 | − | 0.339671i | ||||
\(316\) | 1.16781 | + | 0.985267i | 0.0656946 | + | 0.0554256i | ||||
\(317\) | 11.2973 | − | 10.5066i | 0.634520 | − | 0.590109i | −0.296520 | − | 0.955027i | \(-0.595826\pi\) |
0.931040 | + | 0.364918i | \(0.118903\pi\) | |||||||
\(318\) | 19.3690 | − | 5.15555i | 1.08616 | − | 0.289109i | ||||
\(319\) | −5.08786 | + | 14.4601i | −0.284865 | + | 0.809613i | ||||
\(320\) | −1.05885 | − | 1.45738i | −0.0591914 | − | 0.0814699i | ||||
\(321\) | 3.43732 | + | 0.437205i | 0.191852 | + | 0.0244024i | ||||
\(322\) | 4.30487 | + | 6.23669i | 0.239901 | + | 0.347557i | ||||
\(323\) | −2.54528 | + | 3.50327i | −0.141623 | + | 0.194927i | ||||
\(324\) | 5.95845 | − | 6.74513i | 0.331025 | − | 0.374730i | ||||
\(325\) | −2.41145 | + | 6.35846i | −0.133763 | + | 0.352704i | ||||
\(326\) | 1.03331 | − | 21.3627i | 0.0572297 | − | 1.18317i | ||||
\(327\) | 0.117184 | + | 6.33957i | 0.00648030 | + | 0.350579i | ||||
\(328\) | −2.40923 | − | 4.09635i | −0.133028 | − | 0.226183i | ||||
\(329\) | 5.36441 | + | 0.259476i | 0.295749 | + | 0.0143054i | ||||
\(330\) | 7.37474 | + | 8.84258i | 0.405966 | + | 0.486768i | ||||
\(331\) | −2.64883 | + | 10.7467i | −0.145593 | + | 0.590693i | 0.852135 | + | 0.523322i | \(0.175307\pi\) |
−0.997728 | + | 0.0673713i | \(0.978539\pi\) | |||||||
\(332\) | 3.47428 | + | 2.52421i | 0.190676 | + | 0.138534i | ||||
\(333\) | −28.2350 | − | 12.6833i | −1.54727 | − | 0.695038i | ||||
\(334\) | −1.38122 | − | 3.39238i | −0.0755768 | − | 0.185623i | ||||
\(335\) | 13.4825 | − | 9.79560i | 0.736627 | − | 0.535191i | ||||
\(336\) | −2.22420 | + | 1.94802i | −0.121340 | + | 0.106273i | ||||
\(337\) | −6.36898 | + | 6.21690i | −0.346941 | + | 0.338656i | −0.851147 | − | 0.524927i | \(-0.824093\pi\) |
0.504207 | + | 0.863583i | \(0.331785\pi\) | |||||||
\(338\) | −1.37319 | − | 1.47653i | −0.0746915 | − | 0.0803128i | ||||
\(339\) | 21.2773 | − | 7.93137i | 1.15562 | − | 0.430773i | ||||
\(340\) | 6.67837 | − | 2.16993i | 0.362186 | − | 0.117681i | ||||
\(341\) | 5.13752 | + | 13.5465i | 0.278212 | + | 0.733586i | ||||
\(342\) | 2.05718 | + | 2.62192i | 0.111239 | + | 0.141777i | ||||
\(343\) | −12.8877 | + | 13.8576i | −0.695869 | + | 0.748240i | ||||
\(344\) | −0.301079 | − | 12.4563i | −0.0162331 | − | 0.671599i | ||||
\(345\) | −13.8092 | − | 1.08184i | −0.743463 | − | 0.0582441i | ||||
\(346\) | 16.9608 | − | 15.0259i | 0.911817 | − | 0.807800i | ||||
\(347\) | 11.8018 | + | 2.31048i | 0.633553 | + | 0.124033i | 0.498619 | − | 0.866821i | \(-0.333841\pi\) |
0.134934 | + | 0.990855i | \(0.456918\pi\) | |||||||
\(348\) | 6.04053 | − | 3.90856i | 0.323806 | − | 0.209521i | ||||
\(349\) | −13.9869 | − | 21.3492i | −0.748703 | − | 1.14280i | −0.985240 | − | 0.171176i | \(-0.945243\pi\) |
0.236537 | − | 0.971623i | \(-0.423988\pi\) | |||||||
\(350\) | 2.99215 | − | 0.144730i | 0.159937 | − | 0.00773614i | ||||
\(351\) | 5.62026 | − | 19.3353i | 0.299987 | − | 1.03204i | ||||
\(352\) | 3.13478 | − | 1.94715i | 0.167085 | − | 0.103783i | ||||
\(353\) | −15.5393 | + | 11.8741i | −0.827072 | + | 0.631992i | −0.931988 | − | 0.362489i | \(-0.881927\pi\) |
0.104916 | + | 0.994481i | \(0.466542\pi\) | |||||||
\(354\) | 6.65005 | + | 19.2488i | 0.353446 | + | 1.02306i | ||||
\(355\) | 0.728947 | − | 2.44281i | 0.0386885 | − | 0.129651i | ||||
\(356\) | 2.18595 | + | 11.1657i | 0.115855 | + | 0.591779i | ||||
\(357\) | −4.54265 | − | 10.5923i | −0.240423 | − | 0.560602i | ||||
\(358\) | −0.199729 | + | 2.05977i | −0.0105560 | + | 0.108862i | ||||
\(359\) | 4.79547 | + | 28.0774i | 0.253095 | + | 1.48187i | 0.776681 | + | 0.629894i | \(0.216902\pi\) |
−0.523586 | + | 0.851973i | \(0.675406\pi\) | |||||||
\(360\) | −0.199723 | − | 5.40056i | −0.0105263 | − | 0.284635i | ||||
\(361\) | 15.7310 | − | 8.25625i | 0.827946 | − | 0.434539i | ||||
\(362\) | 2.82417 | + | 9.46421i | 0.148435 | + | 0.497428i | ||||
\(363\) | −3.68393 | + | 2.64467i | −0.193356 | + | 0.138809i | ||||
\(364\) | −2.64176 | + | 6.06449i | −0.138466 | + | 0.317865i | ||||
\(365\) | 5.76564 | − | 21.1761i | 0.301787 | − | 1.10841i | ||||
\(366\) | 3.66364 | + | 2.97681i | 0.191501 | + | 0.155601i | ||||
\(367\) | 15.6553 | + | 12.5734i | 0.817201 | + | 0.656324i | 0.941908 | − | 0.335870i | \(-0.109030\pi\) |
−0.124708 | + | 0.992194i | \(0.539799\pi\) | |||||||
\(368\) | −0.957948 | + | 4.33479i | −0.0499365 | + | 0.225967i | ||||
\(369\) | 0.850626 | − | 14.2315i | 0.0442818 | − | 0.740865i | ||||
\(370\) | −17.5327 | + | 6.16896i | −0.911484 | + | 0.320709i | ||||
\(371\) | −17.7079 | − | 8.75473i | −0.919346 | − | 0.454523i | ||||
\(372\) | 1.98143 | − | 6.50492i | 0.102733 | − | 0.337264i | ||||
\(373\) | 7.92852 | − | 19.4731i | 0.410523 | − | 1.00828i | −0.571683 | − | 0.820474i | \(-0.693709\pi\) |
0.982207 | − | 0.187803i | \(-0.0601368\pi\) | |||||||
\(374\) | 3.44256 | + | 13.9670i | 0.178010 | + | 0.722217i | ||||
\(375\) | −12.4850 | + | 16.9804i | −0.644724 | + | 0.876863i | ||||
\(376\) | 2.02881 | + | 2.40470i | 0.104628 | + | 0.124013i | ||||
\(377\) | 8.49332 | − | 13.6737i | 0.437428 | − | 0.704232i | ||||
\(378\) | −8.79747 | + | 1.13178i | −0.452493 | + | 0.0582125i | ||||
\(379\) | −8.36618 | − | 30.7274i | −0.429742 | − | 1.57836i | −0.770009 | − | 0.638033i | \(-0.779748\pi\) |
0.340267 | − | 0.940329i | \(-0.389482\pi\) | |||||||
\(380\) | 1.98016 | + | 0.289145i | 0.101580 | + | 0.0148328i | ||||
\(381\) | 17.0860 | − | 25.7590i | 0.875343 | − | 1.31967i | ||||
\(382\) | 8.91699 | − | 0.647601i | 0.456233 | − | 0.0331342i | ||||
\(383\) | 3.03420 | + | 20.7791i | 0.155040 | + | 1.06176i | 0.912557 | + | 0.408949i | \(0.134104\pi\) |
−0.757517 | + | 0.652815i | \(0.773588\pi\) | |||||||
\(384\) | −1.72299 | − | 0.176963i | −0.0879258 | − | 0.00903059i | ||||
\(385\) | 0.274208 | − | 11.3446i | 0.0139749 | − | 0.578174i | ||||
\(386\) | −8.83993 | − | 8.62884i | −0.449940 | − | 0.439196i | ||||
\(387\) | 20.0828 | − | 31.5267i | 1.02086 | − | 1.60259i | ||||
\(388\) | 7.45514 | + | 9.28252i | 0.378477 | + | 0.471249i | ||||
\(389\) | 16.7206 | + | 30.0695i | 0.847770 | + | 1.52459i | 0.851353 | + | 0.524593i | \(0.175782\pi\) |
−0.00358342 | + | 0.999994i | \(0.501141\pi\) | |||||||
\(390\) | −5.55797 | − | 10.7377i | −0.281439 | − | 0.543725i | ||||
\(391\) | −14.9164 | − | 8.77295i | −0.754355 | − | 0.443667i | ||||
\(392\) | −4.08606 | −0.206377 | ||||||||
\(393\) | 7.73060 | + | 18.2548i | 0.389957 | + | 0.920833i | ||||
\(394\) | −0.729356 | −0.0367444 | ||||||||
\(395\) | 2.37250 | + | 1.39537i | 0.119374 | + | 0.0702086i | ||||
\(396\) | 11.0639 | + | 0.393302i | 0.555981 | + | 0.0197642i | ||||
\(397\) | −2.93683 | − | 5.28145i | −0.147395 | − | 0.265069i | 0.790163 | − | 0.612897i | \(-0.209996\pi\) |
−0.937558 | + | 0.347829i | \(0.886919\pi\) | |||||||
\(398\) | 9.48957 | + | 11.8156i | 0.475669 | + | 0.592264i | ||||
\(399\) | 0.177328 | − | 3.27970i | 0.00887751 | − | 0.164190i | ||||
\(400\) | 1.25580 | + | 1.22581i | 0.0627899 | + | 0.0612906i | ||||
\(401\) | −0.781959 | + | 32.3514i | −0.0390492 | + | 1.61555i | 0.569471 | + | 0.822012i | \(0.307148\pi\) |
−0.608520 | + | 0.793539i | \(0.708236\pi\) | |||||||
\(402\) | 1.63712 | − | 15.9397i | 0.0816519 | − | 0.794999i | ||||
\(403\) | −2.19819 | − | 15.0539i | −0.109500 | − | 0.749889i | ||||
\(404\) | −2.36207 | + | 0.171547i | −0.117518 | + | 0.00853478i | ||||
\(405\) | 8.53478 | − | 13.7845i | 0.424097 | − | 0.684955i | ||||
\(406\) | −7.01642 | − | 1.02455i | −0.348219 | − | 0.0508474i | ||||
\(407\) | −10.0026 | − | 36.7377i | −0.495810 | − | 1.82102i | ||||
\(408\) | 2.73151 | − | 6.17444i | 0.135230 | − | 0.305680i | ||||
\(409\) | 7.35076 | − | 11.8343i | 0.363472 | − | 0.585167i | −0.615755 | − | 0.787938i | \(-0.711149\pi\) |
0.979226 | + | 0.202772i | \(0.0649949\pi\) | |||||||
\(410\) | −5.52043 | − | 6.54323i | −0.272635 | − | 0.323147i | ||||
\(411\) | 3.96807 | + | 2.91758i | 0.195731 | + | 0.143913i | ||||
\(412\) | 1.63630 | + | 6.63873i | 0.0806147 | + | 0.327067i | ||||
\(413\) | 7.56863 | − | 18.5892i | 0.372428 | − | 0.914712i | ||||
\(414\) | −9.63558 | + | 9.19394i | −0.473563 | + | 0.451857i | ||||
\(415\) | 6.93483 | + | 3.42857i | 0.340418 | + | 0.168302i | ||||
\(416\) | −3.65543 | + | 1.28618i | −0.179222 | + | 0.0630599i | ||||
\(417\) | −12.7242 | + | 6.20105i | −0.623105 | + | 0.303667i | ||||
\(418\) | −0.884600 | + | 4.00289i | −0.0432672 | + | 0.195788i | ||||
\(419\) | 13.8498 | + | 11.1233i | 0.676606 | + | 0.543407i | 0.902471 | − | 0.430752i | \(-0.141752\pi\) |
−0.225865 | + | 0.974159i | \(0.572521\pi\) | |||||||
\(420\) | −3.35872 | + | 4.13366i | −0.163889 | + | 0.201702i | ||||
\(421\) | 4.75784 | − | 17.4747i | 0.231883 | − | 0.851663i | −0.749883 | − | 0.661570i | \(-0.769890\pi\) |
0.981766 | − | 0.190093i | \(-0.0608789\pi\) | |||||||
\(422\) | −2.90141 | + | 6.66055i | −0.141238 | + | 0.324230i | ||||
\(423\) | 1.03112 | + | 9.38216i | 0.0501349 | + | 0.456176i | ||||
\(424\) | −3.30898 | − | 11.0889i | −0.160698 | − | 0.538523i | ||||
\(425\) | −6.05713 | + | 3.17903i | −0.293814 | + | 0.154205i | ||||
\(426\) | −1.28144 | − | 2.08944i | −0.0620858 | − | 0.101233i | ||||
\(427\) | −0.783257 | − | 4.58595i | −0.0379045 | − | 0.221930i | ||||
\(428\) | 0.193079 | − | 1.99119i | 0.00933281 | − | 0.0962477i | ||||
\(429\) | 22.7636 | − | 9.76253i | 1.09904 | − | 0.471340i | ||||
\(430\) | −4.31240 | − | 22.0274i | −0.207962 | − | 1.06226i | ||||
\(431\) | −0.221837 | + | 0.743409i | −0.0106855 | + | 0.0358087i | −0.963421 | − | 0.267991i | \(-0.913640\pi\) |
0.952736 | + | 0.303800i | \(0.0982555\pi\) | |||||||
\(432\) | −3.99524 | − | 3.32236i | −0.192221 | − | 0.159847i | ||||
\(433\) | −31.0906 | + | 23.7573i | −1.49412 | + | 1.14170i | −0.540237 | + | 0.841513i | \(0.681665\pi\) |
−0.953879 | + | 0.300190i | \(0.902950\pi\) | |||||||
\(434\) | −5.69293 | + | 3.53612i | −0.273269 | + | 0.169739i | ||||
\(435\) | 9.54081 | − | 8.77243i | 0.457447 | − | 0.420606i | ||||
\(436\) | 3.65650 | − | 0.176865i | 0.175115 | − | 0.00847027i | ||||
\(437\) | −2.70259 | − | 4.12515i | −0.129282 | − | 0.197333i | ||||
\(438\) | −11.4636 | − | 17.7165i | −0.547751 | − | 0.846529i | ||||
\(439\) | 33.7217 | + | 6.60183i | 1.60945 | + | 0.315088i | 0.914691 | − | 0.404154i | \(-0.132434\pi\) |
0.694759 | + | 0.719243i | \(0.255511\pi\) | |||||||
\(440\) | 4.97592 | − | 4.40828i | 0.237218 | − | 0.210156i | ||||
\(441\) | −10.1766 | − | 6.83375i | −0.484599 | − | 0.325417i | ||||
\(442\) | −0.365003 | − | 15.1010i | −0.0173614 | − | 0.718281i | ||||
\(443\) | −9.96956 | + | 10.7199i | −0.473668 | + | 0.509316i | −0.923396 | − | 0.383850i | \(-0.874598\pi\) |
0.449727 | + | 0.893166i | \(0.351521\pi\) | |||||||
\(444\) | −6.83290 | + | 16.5128i | −0.324275 | + | 0.783662i | ||||
\(445\) | 7.26794 | + | 19.1640i | 0.344533 | + | 0.908460i | ||||
\(446\) | 17.1015 | − | 5.55663i | 0.809781 | − | 0.263114i | ||||
\(447\) | −2.75301 | − | 7.38541i | −0.130213 | − | 0.349318i | ||||
\(448\) | 1.16251 | + | 1.25000i | 0.0549236 | + | 0.0590571i | ||||
\(449\) | −16.4299 | + | 16.0376i | −0.775376 | + | 0.756861i | −0.974807 | − | 0.223051i | \(-0.928398\pi\) |
0.199431 | + | 0.979912i | \(0.436091\pi\) | |||||||
\(450\) | 1.07753 | + | 5.15323i | 0.0507951 | + | 0.242925i | ||||
\(451\) | 14.1881 | − | 10.3082i | 0.668090 | − | 0.485396i | ||||
\(452\) | −4.94377 | − | 12.1423i | −0.232535 | − | 0.571125i | ||||
\(453\) | −15.3221 | + | 1.39788i | −0.719896 | + | 0.0656780i | ||||
\(454\) | 11.0963 | + | 8.06191i | 0.520774 | + | 0.378364i | ||||
\(455\) | −2.85173 | + | 11.5699i | −0.133691 | + | 0.542407i | ||||
\(456\) | 1.47765 | − | 1.23236i | 0.0691972 | − | 0.0577106i | ||||
\(457\) | −31.4974 | − | 1.52353i | −1.47339 | − | 0.0712676i | −0.704068 | − | 0.710132i | \(-0.748635\pi\) |
−0.769319 | + | 0.638865i | \(0.779404\pi\) | |||||||
\(458\) | 6.83724 | + | 11.6252i | 0.319483 | + | 0.543209i | ||||
\(459\) | 17.1295 | − | 10.8095i | 0.799535 | − | 0.504544i | ||||
\(460\) | −0.386371 | + | 7.98784i | −0.0180146 | + | 0.372435i | ||||
\(461\) | 1.71696 | − | 4.52726i | 0.0799669 | − | 0.210855i | −0.889070 | − | 0.457771i | \(-0.848648\pi\) |
0.969037 | + | 0.246916i | \(0.0794171\pi\) | |||||||
\(462\) | −7.94737 | − | 7.47580i | −0.369745 | − | 0.347806i | ||||
\(463\) | −1.38225 | + | 1.90251i | −0.0642387 | + | 0.0884170i | −0.839928 | − | 0.542699i | \(-0.817403\pi\) |
0.775689 | + | 0.631116i | \(0.217403\pi\) | |||||||
\(464\) | −2.35969 | − | 3.41860i | −0.109546 | − | 0.158704i | ||||
\(465\) | 1.54562 | − | 12.1517i | 0.0716765 | − | 0.563524i | ||||
\(466\) | 6.38415 | + | 8.78703i | 0.295740 | + | 0.407051i | ||||
\(467\) | −8.34012 | + | 23.7034i | −0.385935 | + | 1.09686i | 0.574536 | + | 0.818479i | \(0.305183\pi\) |
−0.960471 | + | 0.278381i | \(0.910202\pi\) | |||||||
\(468\) | −11.2551 | − | 2.91024i | −0.520269 | − | 0.134526i | ||||
\(469\) | −11.5640 | + | 10.7546i | −0.533976 | + | 0.496602i | ||||
\(470\) | 4.33188 | + | 3.65474i | 0.199815 | + | 0.168581i | ||||
\(471\) | 0.969872 | − | 4.80891i | 0.0446893 | − | 0.221583i | ||||
\(472\) | 10.9937 | − | 4.16938i | 0.506028 | − | 0.191911i | ||||
\(473\) | 45.6456 | − | 5.54238i | 2.09879 | − | 0.254839i | ||||
\(474\) | 2.52152 | − | 0.803475i | 0.115817 | − | 0.0369048i | ||||
\(475\) | −1.94890 | + | 0.0471065i | −0.0894218 | + | 0.00216140i | ||||
\(476\) | −6.03444 | + | 2.80405i | −0.276588 | + | 0.128523i | ||||
\(477\) | 10.3044 | − | 33.1516i | 0.471808 | − | 1.51791i | ||||
\(478\) | −5.75510 | + | 29.3966i | −0.263232 | + | 1.34457i | ||||
\(479\) | 10.8860 | + | 5.71343i | 0.497395 | + | 0.261053i | 0.694714 | − | 0.719286i | \(-0.255531\pi\) |
−0.197319 | + | 0.980339i | \(0.563223\pi\) | |||||||
\(480\) | −3.11319 | + | 0.208317i | −0.142097 | + | 0.00950831i | ||||
\(481\) | 1.93166 | + | 39.9351i | 0.0880760 | + | 1.82089i | ||||
\(482\) | 1.37216 | + | 0.445841i | 0.0625000 | + | 0.0203075i | ||||
\(483\) | 13.1138 | − | 0.559624i | 0.596698 | − | 0.0254638i | ||||
\(484\) | 1.58970 | + | 2.08040i | 0.0722590 | + | 0.0945635i | ||||
\(485\) | 16.0533 | + | 14.2220i | 0.728945 | + | 0.645789i | ||||
\(486\) | −4.39390 | − | 14.9564i | −0.199311 | − | 0.678436i | ||||
\(487\) | −2.77994 | + | 0.544240i | −0.125971 | + | 0.0246618i | −0.254716 | − | 0.967016i | \(-0.581982\pi\) |
0.128745 | + | 0.991678i | \(0.458905\pi\) | |||||||
\(488\) | 1.65477 | − | 2.16555i | 0.0749079 | − | 0.0980300i | ||||
\(489\) | −30.3669 | − | 21.2166i | −1.37324 | − | 0.959448i | ||||
\(490\) | −7.25564 | + | 1.23923i | −0.327776 | + | 0.0559825i | ||||
\(491\) | 15.2827 | − | 27.4836i | 0.689698 | − | 1.24032i | −0.270962 | − | 0.962590i | \(-0.587342\pi\) |
0.960660 | − | 0.277728i | \(-0.0895813\pi\) | |||||||
\(492\) | −8.22758 | − | 0.245664i | −0.370928 | − | 0.0110754i | ||||
\(493\) | 15.5161 | − | 4.63010i | 0.698811 | − | 0.208529i | ||||
\(494\) | 1.81403 | − | 3.90388i | 0.0816172 | − | 0.175644i | ||||
\(495\) | 19.7655 | − | 2.65708i | 0.888392 | − | 0.119427i | ||||
\(496\) | −3.78808 | − | 1.03138i | −0.170090 | − | 0.0463105i | ||||
\(497\) | −0.406696 | + | 2.38119i | −0.0182428 | + | 0.106811i | ||||
\(498\) | 6.90489 | − | 2.76570i | 0.309416 | − | 0.123934i | ||||
\(499\) | 19.5945 | + | 4.33021i | 0.877172 | + | 0.193847i | 0.631378 | − | 0.775475i | \(-0.282490\pi\) |
0.245794 | + | 0.969322i | \(0.420951\pi\) | |||||||
\(500\) | 10.0144 | + | 6.91243i | 0.447857 | + | 0.309133i | ||||
\(501\) | −6.24740 | − | 1.10360i | −0.279113 | − | 0.0493054i | ||||
\(502\) | −11.2625 | + | 22.7802i | −0.502669 | + | 1.01673i | ||||
\(503\) | −0.892942 | − | 4.04064i | −0.0398143 | − | 0.180163i | 0.952370 | − | 0.304946i | \(-0.0986383\pi\) |
−0.992184 | + | 0.124782i | \(0.960177\pi\) | |||||||
\(504\) | 0.804734 | + | 5.05746i | 0.0358457 | + | 0.225277i | ||||
\(505\) | −4.14232 | + | 1.02099i | −0.184331 | + | 0.0454335i | ||||
\(506\) | −16.2632 | − | 1.97470i | −0.722985 | − | 0.0877863i | ||||
\(507\) | −3.43117 | + | 0.651507i | −0.152384 | + | 0.0289344i | ||||
\(508\) | −15.1598 | − | 9.41636i | −0.672605 | − | 0.417783i | ||||
\(509\) | −2.97774 | + | 0.288741i | −0.131986 | + | 0.0127982i | −0.162294 | − | 0.986742i | \(-0.551889\pi\) |
0.0303086 | + | 0.999541i | \(0.490351\pi\) | |||||||
\(510\) | 2.97776 | − | 11.7924i | 0.131858 | − | 0.522176i | ||||
\(511\) | −3.00494 | + | 20.5788i | −0.132931 | + | 0.910352i | ||||
\(512\) | −0.0724348 | + | 0.997373i | −0.00320120 | + | 0.0440781i | ||||
\(513\) | 5.74124 | − | 0.597972i | 0.253482 | − | 0.0264011i | ||||
\(514\) | −15.1688 | + | 2.21496i | −0.669065 | + | 0.0976978i | ||||
\(515\) | 4.91899 | + | 11.2922i | 0.216757 | + | 0.497592i | ||||
\(516\) | −18.5399 | − | 11.0464i | −0.816174 | − | 0.486290i | ||||
\(517\) | −8.11004 | + | 8.30843i | −0.356679 | + | 0.365404i | ||||
\(518\) | 15.7883 | − | 7.80570i | 0.693698 | − | 0.342963i | ||||
\(519\) | −6.38755 | − | 38.7239i | −0.280382 | − | 1.69979i | ||||
\(520\) | −6.10088 | + | 3.39249i | −0.267541 | + | 0.148771i | ||||
\(521\) | −13.3089 | − | 8.71932i | −0.583074 | − | 0.382000i | 0.222113 | − | 0.975021i | \(-0.428705\pi\) |
−0.805187 | + | 0.593021i | \(0.797935\pi\) | |||||||
\(522\) | −0.159491 | − | 12.4607i | −0.00698075 | − | 0.545390i | ||||
\(523\) | 25.6760i | 1.12273i | 0.827568 | + | 0.561366i | \(0.189724\pi\) | ||||
−0.827568 | + | 0.561366i | \(0.810276\pi\) | |||||||
\(524\) | 10.4015 | − | 4.77583i | 0.454392 | − | 0.208633i | ||||
\(525\) | 2.54731 | − | 4.52028i | 0.111174 | − | 0.197281i | ||||
\(526\) | −14.0014 | + | 23.8063i | −0.610492 | + | 1.03800i | ||||
\(527\) | 8.38665 | − | 12.8011i | 0.365328 | − | 0.557626i | ||||
\(528\) | 0.0363282 | − | 6.39167i | 0.00158098 | − | 0.278162i | ||||
\(529\) | −2.56662 | + | 2.06135i | −0.111592 | + | 0.0896238i | ||||
\(530\) | −9.23882 | − | 18.6870i | −0.401309 | − | 0.811712i | ||||
\(531\) | 34.3537 | + | 8.00246i | 1.49082 | + | 0.347277i | ||||
\(532\) | −1.89575 | − | 0.0458217i | −0.0821910 | − | 0.00198662i | ||||
\(533\) | −16.8834 | + | 7.35457i | −0.731299 | + | 0.318562i | ||||
\(534\) | 18.3860 | + | 7.09268i | 0.795640 | + | 0.306930i | ||||
\(535\) | −0.261039 | − | 3.59432i | −0.0112857 | − | 0.155396i | ||||
\(536\) | −9.22689 | − | 0.670108i | −0.398541 | − | 0.0289443i | ||||
\(537\) | 2.83563 | + | 2.19244i | 0.122367 | + | 0.0946107i | ||||
\(538\) | 18.3072 | − | 4.98453i | 0.789281 | − | 0.214898i | ||||
\(539\) | −1.45531 | − | 15.0083i | −0.0626846 | − | 0.646455i | ||||
\(540\) | −8.10198 | − | 4.68784i | −0.348654 | − | 0.201733i | ||||
\(541\) | 10.3808 | − | 8.75812i | 0.446305 | − | 0.376541i | −0.393594 | − | 0.919285i | \(-0.628768\pi\) |
0.839898 | + | 0.542744i | \(0.182614\pi\) | |||||||
\(542\) | −2.93076 | + | 24.1369i | −0.125887 | + | 1.03677i | ||||
\(543\) | 16.4801 | + | 4.58781i | 0.707228 | + | 0.196882i | ||||
\(544\) | −3.61029 | − | 1.46994i | −0.154790 | − | 0.0630233i | ||||
\(545\) | 6.43923 | − | 1.42301i | 0.275826 | − | 0.0609550i | ||||
\(546\) | 6.45481 | + | 9.46604i | 0.276240 | + | 0.405109i | ||||
\(547\) | −2.05658 | − | 5.84500i | −0.0879332 | − | 0.249914i | 0.891032 | − | 0.453940i | \(-0.149982\pi\) |
−0.978965 | + | 0.204026i | \(0.934597\pi\) | |||||||
\(548\) | 1.61534 | − | 2.34022i | 0.0690038 | − | 0.0999693i | ||||
\(549\) | 7.74310 | − | 2.62591i | 0.330467 | − | 0.112071i | ||||
\(550\) | −4.05521 | + | 5.04922i | −0.172915 | + | 0.215299i | ||||
\(551\) | 4.54862 | + | 0.776882i | 0.193778 | + | 0.0330963i | ||||
\(552\) | 5.47179 | + | 5.40220i | 0.232895 | + | 0.229933i | ||||
\(553\) | −2.39118 | − | 1.04162i | −0.101683 | − | 0.0442943i | ||||
\(554\) | −7.95091 | − | 3.69458i | −0.337802 | − | 0.156968i | ||||
\(555\) | −7.12519 | + | 31.3941i | −0.302447 | + | 1.33261i | ||||
\(556\) | 3.79784 | + | 7.23618i | 0.161064 | + | 0.306882i | ||||
\(557\) | −3.04086 | − | 1.69092i | −0.128845 | − | 0.0716464i | 0.420239 | − | 0.907414i | \(-0.361946\pi\) |
−0.549084 | + | 0.835767i | \(0.685023\pi\) | |||||||
\(558\) | −7.70951 | − | 8.90413i | −0.326370 | − | 0.376942i | ||||
\(559\) | −48.0581 | − | 4.66003i | −2.03264 | − | 0.197098i | ||||
\(560\) | 2.44338 | + | 1.86707i | 0.103252 | + | 0.0788980i | ||||
\(561\) | 23.6520 | + | 7.83389i | 0.998587 | + | 0.330747i | ||||
\(562\) | 5.52011 | + | 1.64723i | 0.232852 | + | 0.0694843i | ||||
\(563\) | −12.0985 | + | 13.6564i | −0.509892 | + | 0.575550i | −0.945927 | − | 0.324381i | \(-0.894844\pi\) |
0.436034 | + | 0.899930i | \(0.356383\pi\) | |||||||
\(564\) | 5.39661 | − | 0.756720i | 0.227238 | − | 0.0318637i | ||||
\(565\) | −12.4612 | − | 20.0618i | −0.524247 | − | 0.844005i | ||||
\(566\) | 0.857326 | − | 2.63858i | 0.0360361 | − | 0.110908i | ||||
\(567\) | −6.45414 | + | 13.9418i | −0.271048 | + | 0.585500i | ||||
\(568\) | −1.18372 | + | 0.775512i | −0.0496677 | + | 0.0325397i | ||||
\(569\) | 0.745996 | − | 1.42138i | 0.0312738 | − | 0.0595872i | −0.869318 | − | 0.494254i | \(-0.835441\pi\) |
0.900592 | + | 0.434666i | \(0.143134\pi\) | |||||||
\(570\) | 2.25011 | − | 2.63645i | 0.0942469 | − | 0.110429i | ||||
\(571\) | 5.65594 | + | 6.38424i | 0.236694 | + | 0.267172i | 0.854841 | − | 0.518890i | \(-0.173655\pi\) |
−0.618147 | + | 0.786063i | \(0.712116\pi\) | |||||||
\(572\) | −6.02613 | − | 12.9685i | −0.251965 | − | 0.542241i | ||||
\(573\) | 7.27422 | − | 13.6705i | 0.303885 | − | 0.571092i | ||||
\(574\) | 5.94040 | + | 5.52462i | 0.247948 | + | 0.230593i | ||||
\(575\) | −0.939057 | − | 7.73383i | −0.0391614 | − | 0.322523i | ||||
\(576\) | −1.84847 | + | 2.36287i | −0.0770194 | + | 0.0984531i | ||||
\(577\) | 11.0362 | + | 33.9658i | 0.459442 | + | 1.41402i | 0.865840 | + | 0.500320i | \(0.166784\pi\) |
−0.406399 | + | 0.913696i | \(0.633216\pi\) | |||||||
\(578\) | −1.16397 | + | 1.37963i | −0.0484148 | + | 0.0573849i | ||||
\(579\) | −20.8034 | + | 5.00232i | −0.864559 | + | 0.207889i | ||||
\(580\) | −5.22691 | − | 5.35477i | −0.217036 | − | 0.222345i | ||||
\(581\) | −6.91516 | − | 2.43313i | −0.286889 | − | 0.100943i | ||||
\(582\) | 20.4846 | − | 2.36922i | 0.849115 | − | 0.0982073i | ||||
\(583\) | 39.5516 | − | 16.1036i | 1.63806 | − | 0.666941i | ||||
\(584\) | −10.0266 | + | 6.92083i | −0.414902 | + | 0.286386i | ||||
\(585\) | −20.8684 | − | 1.75426i | −0.862803 | − | 0.0725295i | ||||
\(586\) | −8.40703 | − | 2.07215i | −0.347291 | − | 0.0855996i | ||||
\(587\) | 2.88835 | + | 1.09541i | 0.119215 | + | 0.0452123i | 0.413491 | − | 0.910508i | \(-0.364309\pi\) |
−0.294276 | + | 0.955720i | \(0.595078\pi\) | |||||||
\(588\) | −3.76836 | + | 5.99059i | −0.155404 | + | 0.247048i | ||||
\(589\) | 3.75930 | − | 2.21100i | 0.154899 | − | 0.0911026i | ||||
\(590\) | 18.2571 | − | 10.7378i | 0.751635 | − | 0.442067i | ||||
\(591\) | −0.672647 | + | 1.06931i | −0.0276690 | + | 0.0439856i | ||||
\(592\) | 9.64715 | + | 3.65868i | 0.396496 | + | 0.150371i | ||||
\(593\) | 0.709070 | + | 0.174770i | 0.0291180 | + | 0.00717694i | 0.253848 | − | 0.967244i | \(-0.418304\pi\) |
−0.224730 | + | 0.974421i | \(0.572150\pi\) | |||||||
\(594\) | 10.7803 | − | 15.8581i | 0.442319 | − | 0.650665i | ||||
\(595\) | −9.86498 | + | 6.80930i | −0.404425 | + | 0.279154i | ||||
\(596\) | −4.21463 | + | 1.71600i | −0.172638 | + | 0.0702901i | ||||
\(597\) | 26.0747 | − | 3.01576i | 1.06717 | − | 0.123427i | ||||
\(598\) | 16.2278 | + | 5.70982i | 0.663605 | + | 0.233492i | ||||
\(599\) | 28.7090 | + | 29.4113i | 1.17302 | + | 1.20171i | 0.975164 | + | 0.221483i | \(0.0710898\pi\) |
0.197855 | + | 0.980231i | \(0.436603\pi\) | |||||||
\(600\) | 2.95532 | − | 0.710629i | 0.120651 | − | 0.0290113i | ||||
\(601\) | −10.6626 | + | 12.6381i | −0.434937 | + | 0.515521i | −0.937009 | − | 0.349306i | \(-0.886418\pi\) |
0.502072 | + | 0.864826i | \(0.332571\pi\) | |||||||
\(602\) | 6.57263 | + | 20.2285i | 0.267880 | + | 0.824451i | ||||
\(603\) | −21.8594 | − | 17.1005i | −0.890184 | − | 0.696387i | ||||
\(604\) | 1.07072 | + | 8.81821i | 0.0435671 | + | 0.358808i | ||||
\(605\) | 3.45378 | + | 3.21205i | 0.140416 | + | 0.130588i | ||||
\(606\) | −1.92691 | + | 3.62125i | −0.0782754 | + | 0.147103i | ||||
\(607\) | −7.52599 | − | 16.1963i | −0.305470 | − | 0.657386i | 0.692476 | − | 0.721441i | \(-0.256520\pi\) |
−0.997946 | + | 0.0640547i | \(0.979597\pi\) | |||||||
\(608\) | −0.736649 | − | 0.831505i | −0.0298751 | − | 0.0337220i | ||||
\(609\) | −7.97297 | + | 9.34192i | −0.323081 | + | 0.378554i | ||||
\(610\) | 2.28161 | − | 4.34725i | 0.0923797 | − | 0.176015i | ||||
\(611\) | 10.1982 | − | 6.68132i | 0.412574 | − | 0.270297i | ||||
\(612\) | −6.53324 | − | 9.69904i | −0.264091 | − | 0.392060i | ||||
\(613\) | −3.24687 | + | 9.99283i | −0.131140 | + | 0.403607i | −0.994970 | − | 0.100177i | \(-0.968059\pi\) |
0.863830 | + | 0.503784i | \(0.168059\pi\) | |||||||
\(614\) | 8.74861 | + | 14.0847i | 0.353065 | + | 0.568413i | ||||
\(615\) | −14.6843 | + | 2.05905i | −0.592127 | + | 0.0830288i | ||||
\(616\) | −4.17729 | + | 4.71519i | −0.168308 | + | 0.189980i | ||||
\(617\) | −18.2718 | − | 5.45239i | −0.735594 | − | 0.219505i | −0.103753 | − | 0.994603i | \(-0.533085\pi\) |
−0.631841 | + | 0.775098i | \(0.717700\pi\) | |||||||
\(618\) | 11.2421 | + | 3.72356i | 0.452225 | + | 0.149784i | ||||
\(619\) | 14.4083 | + | 11.0099i | 0.579119 | + | 0.442523i | 0.854970 | − | 0.518677i | \(-0.173575\pi\) |
−0.275852 | + | 0.961200i | \(0.588960\pi\) | |||||||
\(620\) | −7.03932 | − | 0.682579i | −0.282706 | − | 0.0274130i | ||||
\(621\) | 4.59288 | + | 22.6058i | 0.184306 | + | 0.907141i | ||||
\(622\) | −25.4609 | − | 14.1580i | −1.02089 | − | 0.567682i | ||||
\(623\) | −9.02582 | − | 17.1973i | −0.361612 | − | 0.688994i | ||||
\(624\) | −1.48554 | + | 6.54540i | −0.0594692 | + | 0.262026i | ||||
\(625\) | 11.9217 | + | 5.53970i | 0.476867 | + | 0.221588i | ||||
\(626\) | 10.7507 | + | 4.68314i | 0.429686 | + | 0.187176i | ||||
\(627\) | 5.05283 | + | 4.98857i | 0.201790 | + | 0.199224i | ||||
\(628\) | −2.79190 | − | 0.476843i | −0.111409 | − | 0.0190281i | ||||
\(629\) | −25.1844 | + | 31.3576i | −1.00417 | + | 1.25031i | ||||
\(630\) | 2.96280 | + | 8.73649i | 0.118041 | + | 0.348070i | ||||
\(631\) | −25.7123 | + | 37.2507i | −1.02359 | + | 1.48293i | −0.154674 | + | 0.987966i | \(0.549433\pi\) |
−0.868916 | + | 0.494960i | \(0.835183\pi\) | |||||||
\(632\) | −0.507129 | − | 1.44130i | −0.0201725 | − | 0.0573320i | ||||
\(633\) | 7.08924 | + | 10.3964i | 0.281772 | + | 0.413221i | ||||
\(634\) | −15.0644 | + | 3.32908i | −0.598282 | + | 0.132215i | ||||
\(635\) | −29.7751 | − | 12.1230i | −1.18159 | − | 0.481087i | ||||
\(636\) | −19.3091 | − | 5.37538i | −0.765657 | − | 0.213148i | ||||
\(637\) | −1.90856 | + | 15.7184i | −0.0756200 | + | 0.622787i | ||||
\(638\) | 11.7163 | − | 9.88487i | 0.463852 | − | 0.391346i | ||||
\(639\) | −4.24513 | − | 0.0482575i | −0.167935 | − | 0.00190904i | ||||
\(640\) | 0.173862 | + | 1.79301i | 0.00687250 | + | 0.0708749i | ||||
\(641\) | −4.93725 | + | 1.34427i | −0.195010 | + | 0.0530955i | −0.358867 | − | 0.933389i | \(-0.616837\pi\) |
0.163858 | + | 0.986484i | \(0.447606\pi\) | |||||||
\(642\) | −2.74122 | − | 2.11944i | −0.108187 | − | 0.0836476i | ||||
\(643\) | 31.6793 | + | 2.30073i | 1.24931 | + | 0.0907319i | 0.681124 | − | 0.732168i | \(-0.261491\pi\) |
0.568186 | + | 0.822900i | \(0.307645\pi\) | |||||||
\(644\) | −0.548921 | − | 7.55823i | −0.0216305 | − | 0.297836i | ||||
\(645\) | −36.2716 | − | 13.9923i | −1.42819 | − | 0.550947i | ||||
\(646\) | 3.96997 | − | 1.72936i | 0.156196 | − | 0.0680408i | ||||
\(647\) | 14.8933 | + | 0.359984i | 0.585518 | + | 0.0141524i | 0.315863 | − | 0.948805i | \(-0.397706\pi\) |
0.269654 | + | 0.962957i | \(0.413091\pi\) | |||||||
\(648\) | −8.55552 | + | 2.79340i | −0.336093 | + | 0.109735i | ||||
\(649\) | 19.2300 | + | 38.8957i | 0.754842 | + | 1.52679i | ||||
\(650\) | 5.30208 | − | 4.25829i | 0.207965 | − | 0.167024i | ||||
\(651\) | −0.0659739 | + | 11.6076i | −0.00258572 | + | 0.454938i | ||||
\(652\) | −11.7207 | + | 17.8901i | −0.459018 | + | 0.700632i | ||||
\(653\) | 2.32612 | − | 3.95503i | 0.0910279 | − | 0.154772i | −0.812975 | − | 0.582299i | \(-0.802153\pi\) |
0.904003 | + | 0.427527i | \(0.140615\pi\) | |||||||
\(654\) | 3.11290 | − | 5.52392i | 0.121724 | − | 0.216003i | ||||
\(655\) | 17.0216 | − | 11.6350i | 0.665089 | − | 0.454619i | ||||
\(656\) | 4.75231i | 0.185547i | ||||||||
\(657\) | −36.5465 | + | 0.467779i | −1.42582 | + | 0.0182498i | ||||
\(658\) | −4.49241 | − | 2.94320i | −0.175133 | − | 0.114738i | ||||
\(659\) | −4.09410 | + | 2.27659i | −0.159484 | + | 0.0886834i | −0.563698 | − | 0.825981i | \(-0.690622\pi\) |
0.404214 | + | 0.914664i | \(0.367545\pi\) | |||||||
\(660\) | −1.87397 | − | 11.3607i | −0.0729440 | − | 0.442216i | ||||
\(661\) | −0.137860 | + | 0.0681575i | −0.00536212 | + | 0.00265102i | −0.445871 | − | 0.895097i | \(-0.647106\pi\) |
0.440509 | + | 0.897748i | \(0.354798\pi\) | |||||||
\(662\) | 7.73136 | − | 7.92049i | 0.300488 | − | 0.307839i | ||||
\(663\) | −22.4762 | − | 13.3917i | −0.872905 | − | 0.520091i | ||||
\(664\) | −1.71505 | − | 3.93711i | −0.0665567 | − | 0.152789i | ||||
\(665\) | −3.38018 | + | 0.493579i | −0.131078 | + | 0.0191402i | ||||
\(666\) | 17.9078 | + | 25.2466i | 0.693914 | + | 0.978286i | ||||
\(667\) | −1.33575 | + | 18.3923i | −0.0517206 | + | 0.712154i | ||||
\(668\) | −0.529232 | + | 3.62435i | −0.0204766 | + | 0.140230i | ||||
\(669\) | 7.62526 | − | 30.1972i | 0.294809 | − | 1.16749i | ||||
\(670\) | −16.5875 | + | 1.60843i | −0.640830 | + | 0.0621391i | ||||
\(671\) | 8.54359 | + | 5.30678i | 0.329821 | + | 0.204866i | ||||
\(672\) | 2.90476 | − | 0.551552i | 0.112053 | − | 0.0212766i | ||||
\(673\) | 31.0851 | + | 3.77442i | 1.19824 | + | 0.145493i | 0.695231 | − | 0.718786i | \(-0.255302\pi\) |
0.503012 | + | 0.864279i | \(0.332225\pi\) | |||||||
\(674\) | 8.64159 | − | 2.12996i | 0.332862 | − | 0.0820430i | ||||
\(675\) | 8.54891 | + | 3.17278i | 0.329048 | + | 0.122120i | ||||
\(676\) | 0.435103 | + | 1.96888i | 0.0167347 | + | 0.0757260i | ||||
\(677\) | 0.921093 | − | 1.86306i | 0.0354005 | − | 0.0716033i | −0.878011 | − | 0.478640i | \(-0.841130\pi\) |
0.913412 | + | 0.407036i | \(0.133438\pi\) | |||||||
\(678\) | −22.3612 | − | 3.95011i | −0.858778 | − | 0.151703i | ||||
\(679\) | −16.7257 | − | 11.5449i | −0.641874 | − | 0.443053i | ||||
\(680\) | −6.85662 | − | 1.51525i | −0.262940 | − | 0.0581071i | ||||
\(681\) | 22.0531 | − | 8.83321i | 0.845077 | − | 0.338489i | ||||
\(682\) | 2.43916 | − | 14.2812i | 0.0934002 | − | 0.546856i | ||||
\(683\) | −5.25744 | − | 1.43145i | −0.201170 | − | 0.0547728i | 0.160691 | − | 0.987005i | \(-0.448628\pi\) |
−0.361861 | + | 0.932232i | \(0.617859\pi\) | |||||||
\(684\) | −0.444014 | − | 3.30293i | −0.0169773 | − | 0.126291i | ||||
\(685\) | 2.15862 | − | 4.64545i | 0.0824766 | − | 0.177493i | ||||
\(686\) | 18.1340 | − | 5.41129i | 0.692361 | − | 0.206604i | ||||
\(687\) | 23.3493 | + | 0.697178i | 0.890833 | + | 0.0265990i | ||||
\(688\) | −6.05533 | + | 10.8896i | −0.230857 | + | 0.415162i | ||||
\(689\) | −44.2028 | + | 7.54961i | −1.68399 | + | 0.287617i | ||||
\(690\) | 11.3547 | + | 7.93322i | 0.432265 | + | 0.302013i | ||||
\(691\) | 25.2181 | − | 33.0022i | 0.959340 | − | 1.25546i | −0.00747093 | − | 0.999972i | \(-0.502378\pi\) |
0.966811 | − | 0.255492i | \(-0.0822373\pi\) | |||||||
\(692\) | −22.2372 | + | 4.35347i | −0.845333 | + | 0.165494i | ||||
\(693\) | −18.2897 | + | 4.75712i | −0.694770 | + | 0.180708i | ||||
\(694\) | −9.00146 | − | 7.97460i | −0.341691 | − | 0.302712i | ||||
\(695\) | 8.93844 | + | 11.6975i | 0.339054 | + | 0.443711i | ||||
\(696\) | −7.18824 | + | 0.306754i | −0.272469 | + | 0.0116275i | ||||
\(697\) | −17.6182 | − | 5.72449i | −0.667336 | − | 0.216831i | ||||
\(698\) | 1.23310 | + | 25.4932i | 0.0466737 | + | 0.964932i | ||||
\(699\) | 18.7705 | − | 1.25601i | 0.709964 | − | 0.0475067i | ||||
\(700\) | −2.65251 | − | 1.39215i | −0.100256 | − | 0.0526182i | ||||
\(701\) | 2.55594 | − | 13.0556i | 0.0965365 | − | 0.493102i | −0.901626 | − | 0.432516i | \(-0.857626\pi\) |
0.998163 | − | 0.0605862i | \(-0.0192970\pi\) | |||||||
\(702\) | −14.6467 | + | 13.8172i | −0.552805 | + | 0.521498i | ||||
\(703\) | −10.3943 | + | 4.82995i | −0.392027 | + | 0.182165i | ||||
\(704\) | −3.68921 | + | 0.0891712i | −0.139042 | + | 0.00336077i | ||||
\(705\) | 9.35330 | − | 2.98040i | 0.352266 | − | 0.112249i | ||||
\(706\) | 19.4140 | − | 2.35729i | 0.730657 | − | 0.0887179i | ||||
\(707\) | 3.78003 | − | 1.43358i | 0.142163 | − | 0.0539152i | ||||
\(708\) | 4.02621 | − | 19.9632i | 0.151314 | − | 0.750261i | ||||
\(709\) | 15.6896 | + | 13.2371i | 0.589234 | + | 0.497128i | 0.889627 | − | 0.456687i | \(-0.150964\pi\) |
−0.300393 | + | 0.953815i | \(0.597118\pi\) | |||||||
\(710\) | −1.86674 | + | 1.73608i | −0.0700574 | + | 0.0651539i | ||||
\(711\) | 1.14748 | − | 4.43781i | 0.0430340 | − | 0.166431i | ||||
\(712\) | 3.77633 | − | 10.7327i | 0.141524 | − | 0.402223i | ||||
\(713\) | 10.2445 | + | 14.1003i | 0.383658 | + | 0.528060i | ||||
\(714\) | −1.45422 | + | 11.4331i | −0.0544229 | + | 0.427875i | ||||
\(715\) | −14.6337 | − | 21.2006i | −0.547271 | − | 0.792859i | ||||
\(716\) | 1.21638 | − | 1.67420i | 0.0454582 | − | 0.0625679i | ||||
\(717\) | 37.7909 | + | 35.5485i | 1.41133 | + | 1.32758i | ||||
\(718\) | 10.1005 | − | 26.6329i | 0.376949 | − | 0.993933i | ||||
\(719\) | −0.978576 | + | 20.2311i | −0.0364947 | + | 0.754493i | 0.906604 | + | 0.421981i | \(0.138665\pi\) |
−0.943099 | + | 0.332511i | \(0.892104\pi\) | |||||||
\(720\) | −2.56571 | + | 4.75637i | −0.0956185 | + | 0.177260i | ||||
\(721\) | −5.91706 | − | 10.0606i | −0.220363 | − | 0.374676i | ||||
\(722\) | −17.7452 | − | 0.858333i | −0.660408 | − | 0.0319438i | ||||
\(723\) | 1.91912 | − | 1.60055i | 0.0713727 | − | 0.0595250i | ||||
\(724\) | 2.36362 | − | 9.58960i | 0.0878434 | − | 0.356395i | ||||
\(725\) | 5.89746 | + | 4.28475i | 0.219026 | + | 0.159132i | ||||
\(726\) | 4.51617 | − | 0.412022i | 0.167611 | − | 0.0152916i | ||||
\(727\) | −4.30146 | − | 10.5647i | −0.159532 | − | 0.391824i | 0.825451 | − | 0.564474i | \(-0.190921\pi\) |
−0.984983 | + | 0.172650i | \(0.944767\pi\) | |||||||
\(728\) | 5.35156 | − | 3.88814i | 0.198342 | − | 0.144104i | ||||
\(729\) | −25.9799 | − | 7.35158i | −0.962218 | − | 0.272281i | ||||
\(730\) | −15.7053 | + | 15.3302i | −0.581277 | + | 0.567397i | ||||
\(731\) | −33.0768 | − | 35.5661i | −1.22339 | − | 1.31546i | ||||
\(732\) | −1.64882 | − | 4.42324i | −0.0609421 | − | 0.163488i | ||||
\(733\) | −46.3256 | + | 15.0521i | −1.71108 | + | 0.555962i | −0.990512 | − | 0.137426i | \(-0.956117\pi\) |
−0.720564 | + | 0.693388i | \(0.756117\pi\) | |||||||
\(734\) | −7.12022 | − | 18.7745i | −0.262812 | − | 0.692978i | ||||
\(735\) | −4.87466 | + | 11.7804i | −0.179804 | + | 0.434526i | ||||
\(736\) | 3.02329 | − | 3.25082i | 0.111440 | − | 0.119827i | ||||
\(737\) | −0.824940 | − | 34.1296i | −0.0303871 | − | 1.25718i | ||||
\(738\) | −7.94803 | + | 11.8359i | −0.292571 | + | 0.435686i | ||||
\(739\) | 22.4216 | − | 19.8638i | 0.824791 | − | 0.730701i | −0.141004 | − | 0.990009i | \(-0.545033\pi\) |
0.965795 | + | 0.259308i | \(0.0834945\pi\) | |||||||
\(740\) | 18.2401 | + | 3.57094i | 0.670520 | + | 0.131270i | ||||
\(741\) | −4.05051 | − | 6.25990i | −0.148799 | − | 0.229963i | ||||
\(742\) | 10.8253 | + | 16.5235i | 0.397411 | + | 0.606596i | ||||
\(743\) | −38.3522 | + | 1.85509i | −1.40701 | + | 0.0680567i | −0.737800 | − | 0.675019i | \(-0.764135\pi\) |
−0.669207 | + | 0.743076i | \(0.733366\pi\) | |||||||
\(744\) | −5.00567 | + | 4.60253i | −0.183517 | + | 0.168737i | ||||
\(745\) | −6.96351 | + | 4.32533i | −0.255123 | + | 0.158468i | ||||
\(746\) | −16.7062 | + | 12.7658i | −0.611658 | + | 0.467388i | ||||
\(747\) | 2.31321 | − | 12.6740i | 0.0846360 | − | 0.463716i | ||||
\(748\) | 4.11333 | − | 13.7844i | 0.150398 | − | 0.504007i | ||||
\(749\) | 0.656104 | + | 3.35133i | 0.0239735 | + | 0.122455i | ||||
\(750\) | 19.3701 | − | 8.30716i | 0.707295 | − | 0.303334i | ||||
\(751\) | −4.66003 | + | 48.0581i | −0.170047 | + | 1.75367i | 0.385985 | + | 0.922505i | \(0.373862\pi\) |
−0.556032 | + | 0.831161i | \(0.687677\pi\) | |||||||
\(752\) | −0.529688 | − | 3.10131i | −0.0193157 | − | 0.113093i | ||||
\(753\) | 23.0113 | + | 37.5209i | 0.838579 | + | 1.36734i | ||||
\(754\) | −14.2530 | + | 7.48055i | −0.519064 | + | 0.272426i | ||||
\(755\) | 4.57569 | + | 15.3338i | 0.166526 | + | 0.558054i | ||||
\(756\) | 8.15692 | + | 3.48440i | 0.296664 | + | 0.126727i | ||||
\(757\) | 16.8611 | − | 38.7068i | 0.612827 | − | 1.40682i | −0.281567 | − | 0.959542i | \(-0.590854\pi\) |
0.894394 | − | 0.447280i | \(-0.147607\pi\) | |||||||
\(758\) | −8.36618 | + | 30.7274i | −0.303873 | + | 1.11607i | ||||
\(759\) | −17.8938 | + | 22.0223i | −0.649503 | + | 0.799359i | ||||
\(760\) | −1.56025 | − | 1.25310i | −0.0565963 | − | 0.0454545i | ||||
\(761\) | −1.79631 | + | 8.12844i | −0.0651161 | + | 0.294656i | −0.997821 | − | 0.0659859i | \(-0.978981\pi\) |
0.932704 | + | 0.360642i | \(0.117442\pi\) | |||||||
\(762\) | −27.7864 | + | 13.5416i | −1.00660 | + | 0.490559i | ||||
\(763\) | −5.89480 | + | 2.07411i | −0.213406 | + | 0.0750877i | ||||
\(764\) | −8.01448 | − | 3.96234i | −0.289954 | − | 0.143352i | ||||
\(765\) | −14.5426 | − | 15.2412i | −0.525791 | − | 0.551047i | ||||
\(766\) | 7.91880 | − | 19.4492i | 0.286118 | − | 0.702728i | ||||
\(767\) | −10.9039 | − | 44.2387i | −0.393715 | − | 1.59737i | ||||
\(768\) | 1.39545 | + | 1.02602i | 0.0503539 | + | 0.0370234i | ||||
\(769\) | 25.1286 | + | 29.7843i | 0.906159 | + | 1.07405i | 0.996939 | + | 0.0781773i | \(0.0249100\pi\) |
−0.0907803 | + | 0.995871i | \(0.528936\pi\) | |||||||
\(770\) | −5.98761 | + | 9.63968i | −0.215778 | + | 0.347390i | ||||
\(771\) | −10.7420 | + | 24.2817i | −0.386863 | + | 0.874485i | ||||
\(772\) | 3.24527 | + | 11.9193i | 0.116800 | + | 0.428984i | ||||
\(773\) | −4.74290 | − | 0.692564i | −0.170590 | − | 0.0249098i | 0.0586562 | − | 0.998278i | \(-0.481318\pi\) |
−0.229246 | + | 0.973368i | \(0.573626\pi\) | |||||||
\(774\) | −33.2935 | + | 16.9939i | −1.19671 | + | 0.610834i | ||||
\(775\) | 6.87158 | − | 0.499052i | 0.246834 | − | 0.0179265i | ||||
\(776\) | −1.72023 | − | 11.7807i | −0.0617528 | − | 0.422903i | ||||
\(777\) | 3.11675 | − | 30.3461i | 0.111813 | − | 1.08866i | ||||
\(778\) | 0.831372 | − | 34.3957i | 0.0298061 | − | 1.23315i | ||||
\(779\) | −3.77782 | − | 3.68761i | −0.135355 | − | 0.132122i | ||||
\(780\) | −0.652781 | + | 12.0732i | −0.0233733 | + | 0.432291i | ||||
\(781\) | −3.27010 | − | 4.07166i | −0.117013 | − | 0.145695i | ||||
\(782\) | 8.40995 | + | 15.1240i | 0.300739 | + | 0.540834i | ||||
\(783\) | −18.4158 | − | 11.2580i | −0.658126 | − | 0.402329i | ||||
\(784\) | 3.52206 | + | 2.07147i | 0.125788 | + | 0.0739810i | ||||
\(785\) | −5.10221 | −0.182106 | ||||||||
\(786\) | 2.59091 | − | 19.6542i | 0.0924148 | − | 0.701042i | ||||
\(787\) | −23.0696 | −0.822343 | −0.411171 | − | 0.911558i | \(-0.634880\pi\) | ||||
−0.411171 | + | 0.911558i | \(0.634880\pi\) | |||||||
\(788\) | 0.628683 | + | 0.369754i | 0.0223959 | + | 0.0131720i | ||||
\(789\) | 21.9897 | + | 42.4828i | 0.782853 | + | 1.51243i | ||||
\(790\) | −1.33763 | − | 2.40553i | −0.0475908 | − | 0.0855849i | ||||
\(791\) | 14.0136 | + | 17.4486i | 0.498268 | + | 0.620402i | ||||
\(792\) | −9.33734 | − | 5.94796i | −0.331788 | − | 0.211352i | ||||
\(793\) | −7.55762 | − | 7.37715i | −0.268379 | − | 0.261970i | ||||
\(794\) | −0.146023 | + | 6.04131i | −0.00518217 | + | 0.214398i | ||||
\(795\) | −35.9176 | − | 3.68898i | −1.27387 | − | 0.130835i | ||||
\(796\) | −2.18967 | − | 14.9956i | −0.0776108 | − | 0.531503i | ||||
\(797\) | −20.4328 | + | 1.48394i | −0.723767 | + | 0.0525640i | −0.429382 | − | 0.903123i | \(-0.641269\pi\) |
−0.294385 | + | 0.955687i | \(0.595115\pi\) | |||||||
\(798\) | −1.81553 | + | 2.73710i | −0.0642690 | + | 0.0968924i | ||||
\(799\) | 12.1355 | + | 1.77204i | 0.429323 | + | 0.0626903i | ||||
\(800\) | −0.461023 | − | 1.69325i | −0.0162996 | − | 0.0598655i | ||||
\(801\) | 27.3551 | − | 20.4146i | 0.966543 | − | 0.721314i | ||||
\(802\) | 17.0749 | − | 27.4895i | 0.602935 | − | 0.970687i | ||||
\(803\) | −28.9918 | − | 34.3632i | −1.02310 | − | 1.21265i | ||||
\(804\) | −9.49192 | + | 12.9096i | −0.334754 | + | 0.455285i | ||||
\(805\) | −3.26699 | − | 13.2547i | −0.115146 | − | 0.467167i | ||||
\(806\) | −5.73696 | + | 14.0904i | −0.202076 | + | 0.496314i | ||||
\(807\) | 9.57597 | − | 31.4373i | 0.337090 | − | 1.10664i | ||||
\(808\) | 2.12300 | + | 1.04961i | 0.0746870 | + | 0.0369251i | ||||
\(809\) | −14.2249 | + | 5.00508i | −0.500120 | + | 0.175969i | −0.570094 | − | 0.821580i | \(-0.693093\pi\) |
0.0699734 | + | 0.997549i | \(0.477709\pi\) | |||||||
\(810\) | −14.3449 | + | 7.55499i | −0.504028 | + | 0.265455i | ||||
\(811\) | 5.32021 | − | 24.0744i | 0.186818 | − | 0.845366i | −0.786805 | − | 0.617202i | \(-0.788266\pi\) |
0.973623 | − | 0.228164i | \(-0.0732723\pi\) | |||||||
\(812\) | 5.52854 | + | 4.44017i | 0.194014 | + | 0.155820i | ||||
\(813\) | 32.6844 | + | 26.5570i | 1.14629 | + | 0.931395i | ||||
\(814\) | −10.0026 | + | 36.7377i | −0.350591 | + | 1.28766i | ||||
\(815\) | −15.3868 | + | 35.3223i | −0.538975 | + | 1.23729i | ||||
\(816\) | −5.48467 | + | 3.93741i | −0.192002 | + | 0.137837i | ||||
\(817\) | −3.95792 | − | 13.2636i | −0.138470 | − | 0.464033i | ||||
\(818\) | −12.3356 | + | 6.47423i | −0.431305 | + | 0.226366i | ||||
\(819\) | 19.8311 | − | 0.733391i | 0.692956 | − | 0.0256267i | ||||
\(820\) | 1.44129 | + | 8.43871i | 0.0503320 | + | 0.294692i | ||||
\(821\) | −3.00533 | + | 30.9934i | −0.104887 | + | 1.08168i | 0.783127 | + | 0.621862i | \(0.213623\pi\) |
−0.888014 | + | 0.459817i | \(0.847915\pi\) | |||||||
\(822\) | −1.94127 | − | 4.52652i | −0.0677094 | − | 0.157880i | ||||
\(823\) | −0.770139 | − | 3.93382i | −0.0268454 | − | 0.137124i | 0.965550 | − | 0.260219i | \(-0.0837949\pi\) |
−0.992395 | + | 0.123095i | \(0.960718\pi\) | |||||||
\(824\) | 1.95513 | − | 6.55192i | 0.0681101 | − | 0.228247i | ||||
\(825\) | 3.66277 | + | 10.6020i | 0.127521 | + | 0.369114i | ||||
\(826\) | −15.9479 | + | 12.1863i | −0.554898 | + | 0.424015i | ||||
\(827\) | −26.6078 | + | 16.5272i | −0.925244 | + | 0.574708i | −0.905151 | − | 0.425090i | \(-0.860242\pi\) |
−0.0200931 | + | 0.999798i | \(0.506396\pi\) | |||||||
\(828\) | 12.9665 | − | 3.04004i | 0.450618 | − | 0.105649i | ||||
\(829\) | 14.8192 | − | 0.716802i | 0.514692 | − | 0.0248956i | 0.210664 | − | 0.977559i | \(-0.432438\pi\) |
0.304028 | + | 0.952663i | \(0.401668\pi\) | |||||||
\(830\) | −4.23947 | − | 6.47100i | −0.147154 | − | 0.224612i | ||||
\(831\) | −12.7493 | + | 8.24954i | −0.442270 | + | 0.286173i | ||||
\(832\) | 3.80290 | + | 0.744510i | 0.131842 | + | 0.0258112i | ||||
\(833\) | −11.9221 | + | 10.5620i | −0.413076 | + | 0.365953i | ||||
\(834\) | 14.1115 | + | 1.10552i | 0.488642 | + | 0.0382810i | ||||
\(835\) | 0.159437 | + | 6.59628i | 0.00551755 | + | 0.228274i | ||||
\(836\) | 2.79180 | − | 3.00191i | 0.0965565 | − | 0.103823i | ||||
\(837\) | −20.1644 | + | 3.09113i | −0.696985 | + | 0.106845i | ||||
\(838\) | −6.29904 | − | 16.6092i | −0.217597 | − | 0.573755i | ||||
\(839\) | 26.2267 | − | 8.52158i | 0.905447 | − | 0.294198i | 0.180963 | − | 0.983490i | \(-0.442078\pi\) |
0.724483 | + | 0.689292i | \(0.242078\pi\) | |||||||
\(840\) | 4.99072 | − | 1.86035i | 0.172196 | − | 0.0641883i | ||||
\(841\) | 7.99857 | + | 8.60053i | 0.275813 | + | 0.296570i | ||||
\(842\) | −12.9601 | + | 12.6506i | −0.446633 | + | 0.435968i | ||||
\(843\) | 7.50592 | − | 6.57390i | 0.258518 | − | 0.226417i | ||||
\(844\) | 5.87755 | − | 4.27029i | 0.202314 | − | 0.146990i | ||||
\(845\) | 1.36974 | + | 3.36419i | 0.0471204 | + | 0.115732i | ||||
\(846\) | 3.86758 | − | 8.60988i | 0.132970 | − | 0.296014i | ||||
\(847\) | −3.61583 | − | 2.62705i | −0.124241 | − | 0.0902666i | ||||
\(848\) | −2.76937 | + | 11.2358i | −0.0951007 | + | 0.385839i | ||||
\(849\) | −3.07776 | − | 3.69035i | −0.105629 | − | 0.126653i | ||||
\(850\) | 6.83270 | + | 0.330497i | 0.234360 | + | 0.0113359i | ||||
\(851\) | −23.2207 | − | 39.4815i | −0.795996 | − | 1.35341i | ||||
\(852\) | 0.0452995 | + | 2.45067i | 0.00155194 | + | 0.0839585i | ||||
\(853\) | −2.01519 | + | 41.6621i | −0.0689988 | + | 1.42648i | 0.664751 | + | 0.747065i | \(0.268537\pi\) |
−0.733750 | + | 0.679419i | \(0.762232\pi\) | |||||||
\(854\) | −1.64975 | + | 4.35003i | −0.0564532 | + | 0.148855i | ||||
\(855\) | −1.79015 | − | 5.73036i | −0.0612220 | − | 0.195974i | ||||
\(856\) | −1.17588 | + | 1.61846i | −0.0401907 | + | 0.0553178i | ||||
\(857\) | −13.1719 | − | 19.0828i | −0.449943 | − | 0.651855i | 0.530723 | − | 0.847546i | \(-0.321921\pi\) |
−0.980666 | + | 0.195690i | \(0.937305\pi\) | |||||||
\(858\) | −24.5708 | − | 3.12524i | −0.838832 | − | 0.106694i | ||||
\(859\) | −7.75624 | − | 10.6755i | −0.264639 | − | 0.364245i | 0.655931 | − | 0.754820i | \(-0.272276\pi\) |
−0.920571 | + | 0.390576i | \(0.872276\pi\) | |||||||
\(860\) | −7.44986 | + | 21.1732i | −0.254038 | + | 0.721999i | ||||
\(861\) | 13.5782 | − | 3.61418i | 0.462744 | − | 0.123171i | ||||
\(862\) | 0.568095 | − | 0.528333i | 0.0193494 | − | 0.0179951i | ||||
\(863\) | 25.7824 | + | 21.7522i | 0.877643 | + | 0.740455i | 0.966792 | − | 0.255564i | \(-0.0822611\pi\) |
−0.0891496 | + | 0.996018i | \(0.528415\pi\) | |||||||
\(864\) | 1.75948 | + | 4.88920i | 0.0598586 | + | 0.166334i | ||||
\(865\) | −38.1664 | + | 14.4746i | −1.29770 | + | 0.492152i | ||||
\(866\) | 38.8431 | − | 4.71641i | 1.31994 | − | 0.160270i | ||||
\(867\) | 0.949206 | + | 2.97886i | 0.0322367 | + | 0.101167i | ||||
\(868\) | 6.69980 | − | 0.161940i | 0.227406 | − | 0.00549659i | ||||
\(869\) | 5.11338 | − | 2.37606i | 0.173460 | − | 0.0806022i | ||||
\(870\) | −12.6712 | + | 2.72476i | −0.429592 | + | 0.0923781i | ||||
\(871\) | −6.88760 | + | 35.1814i | −0.233377 | + | 1.19208i | ||||
\(872\) | −3.24146 | − | 1.70125i | −0.109770 | − | 0.0576115i | ||||
\(873\) | 15.4184 | − | 32.2176i | 0.521833 | − | 1.09040i | ||||
\(874\) | 0.238263 | + | 4.92585i | 0.00805936 | + | 0.166619i | ||||
\(875\) | −19.7551 | − | 6.41883i | −0.667845 | − | 0.216996i | ||||
\(876\) | 0.899692 | + | 21.0827i | 0.0303978 | + | 0.712318i | ||||
\(877\) | 14.7929 | + | 19.3590i | 0.499520 | + | 0.653708i | 0.973997 | − | 0.226559i | \(-0.0727477\pi\) |
−0.474478 | + | 0.880268i | \(0.657363\pi\) | |||||||
\(878\) | −25.7202 | − | 22.7861i | −0.868016 | − | 0.768995i | ||||
\(879\) | −10.7913 | + | 10.4145i | −0.363983 | + | 0.351274i | ||||
\(880\) | −6.52391 | + | 1.27721i | −0.219921 | + | 0.0430548i | ||||
\(881\) | 17.6564 | − | 23.1065i | 0.594860 | − | 0.778478i | −0.395279 | − | 0.918561i | \(-0.629352\pi\) |
0.990140 | + | 0.140083i | \(0.0447368\pi\) | |||||||
\(882\) | 5.30746 | + | 11.0496i | 0.178712 | + | 0.372059i | ||||
\(883\) | 33.9413 | − | 5.79701i | 1.14222 | − | 0.195085i | 0.433888 | − | 0.900967i | \(-0.357141\pi\) |
0.708330 | + | 0.705882i | \(0.249449\pi\) | |||||||
\(884\) | −7.34097 | + | 13.2016i | −0.246904 | + | 0.444019i | ||||
\(885\) | 1.09491 | − | 36.6698i | 0.0368049 | − | 1.23264i | ||||
\(886\) | 14.0280 | − | 4.18603i | 0.471280 | − | 0.140632i | ||||
\(887\) | −18.8993 | + | 40.6722i | −0.634577 | + | 1.36564i | 0.279518 | + | 0.960140i | \(0.409825\pi\) |
−0.914095 | + | 0.405499i | \(0.867098\pi\) | |||||||
\(888\) | 14.2611 | − | 10.7695i | 0.478570 | − | 0.361401i | ||||
\(889\) | 29.3939 | + | 8.00309i | 0.985839 | + | 0.268415i | ||||
\(890\) | 3.45062 | − | 20.2033i | 0.115665 | − | 0.677217i | ||||
\(891\) | −13.3075 | − | 30.4300i | −0.445819 | − | 1.01944i | ||||
\(892\) | −17.5580 | − | 3.88015i | −0.587885 | − | 0.129917i | ||||
\(893\) | 2.87638 | + | 1.98542i | 0.0962545 | + | 0.0664397i | ||||
\(894\) | −1.37110 | + | 7.76166i | −0.0458564 | + | 0.259589i | ||||
\(895\) | 1.65218 | − | 3.34180i | 0.0552262 | − | 0.111704i | ||||
\(896\) | −0.368349 | − | 1.66681i | −0.0123057 | − | 0.0556843i | ||||
\(897\) | 23.3373 | − | 18.5258i | 0.779208 | − | 0.618558i | ||||
\(898\) | 22.2925 | − | 5.49461i | 0.743911 | − | 0.183358i | ||||
\(899\) | −16.1893 | − | 1.96573i | −0.539942 | − | 0.0655608i | ||||
\(900\) | 1.68368 | − | 4.98819i | 0.0561228 | − | 0.166273i | ||||
\(901\) | −38.3184 | − | 23.8012i | −1.27657 | − | 0.792932i | ||||
\(902\) | −17.4555 | + | 1.69260i | −0.581206 | + | 0.0563576i | ||||
\(903\) | 35.7186 | + | 9.01950i | 1.18864 | + | 0.300150i | ||||
\(904\) | −1.89427 | + | 12.9726i | −0.0630026 | + | 0.431462i | ||||
\(905\) | 1.28875 | − | 17.7451i | 0.0428395 | − | 0.589869i | ||||
\(906\) | 13.9159 | + | 6.56277i | 0.462324 | + | 0.218034i | ||||
\(907\) | 27.9719 | − | 4.08450i | 0.928793 | − | 0.135624i | 0.336809 | − | 0.941573i | \(-0.390652\pi\) |
0.591984 | + | 0.805950i | \(0.298345\pi\) | |||||||
\(908\) | −5.47758 | − | 12.5745i | −0.181780 | − | 0.417299i | ||||
\(909\) | 3.53204 | + | 6.16474i | 0.117151 | + | 0.204472i | ||||
\(910\) | 8.32360 | − | 8.52722i | 0.275925 | − | 0.282675i | ||||
\(911\) | −28.5736 | + | 14.1267i | −0.946686 | + | 0.468039i | −0.849712 | − | 0.527248i | \(-0.823224\pi\) |
−0.0969739 | + | 0.995287i | \(0.530916\pi\) | |||||||
\(912\) | −1.89844 | + | 0.313151i | −0.0628638 | + | 0.0103695i | ||||
\(913\) | 13.8504 | − | 7.70173i | 0.458382 | − | 0.254890i | ||||
\(914\) | 26.3775 | + | 17.2812i | 0.872489 | + | 0.571610i | ||||
\(915\) | −4.26930 | − | 7.35431i | −0.141139 | − | 0.243126i | ||||
\(916\) | − | 13.4868i | − | 0.445615i | ||||||
\(917\) | −14.6831 | + | 12.8892i | −0.484880 | + | 0.425640i | ||||
\(918\) | −20.2451 | + | 0.633499i | −0.668186 | + | 0.0209086i | ||||
\(919\) | 4.62857 | − | 7.86983i | 0.152682 | − | 0.259602i | −0.775799 | − | 0.630980i | \(-0.782653\pi\) |
0.928482 | + | 0.371378i | \(0.121115\pi\) | |||||||
\(920\) | 4.38255 | − | 6.68940i | 0.144489 | − | 0.220543i | ||||
\(921\) | 28.7181 | + | 0.163224i | 0.946292 | + | 0.00537843i | ||||
\(922\) | −3.77511 | + | 3.03193i | −0.124327 | + | 0.0998512i | ||||
\(923\) | 2.43037 | + | 4.91581i | 0.0799965 | + | 0.161806i | ||||
\(924\) | 3.06046 | + | 10.4729i | 0.100682 | + | 0.344534i | ||||
\(925\) | −18.1010 | − | 0.437517i | −0.595158 | − | 0.0143855i | ||||
\(926\) | 2.15595 | − | 0.939157i | 0.0708491 | − | 0.0308626i | ||||
\(927\) | 15.8272 | − | 13.0481i | 0.519832 | − | 0.428555i | ||||
\(928\) | 0.300887 | + | 4.14300i | 0.00987711 | + | 0.136001i | ||||
\(929\) | 31.2291 | + | 2.26803i | 1.02459 | + | 0.0744118i | 0.574447 | − | 0.818542i | \(-0.305217\pi\) |
0.450148 | + | 0.892954i | \(0.351371\pi\) | |||||||
\(930\) | −7.49273 | + | 9.69087i | −0.245696 | + | 0.317776i | ||||
\(931\) | −4.37968 | + | 1.19246i | −0.143538 | + | 0.0390813i | ||||
\(932\) | −1.04827 | − | 10.8107i | −0.0343373 | − | 0.354115i | ||||
\(933\) | −44.2383 | + | 24.2712i | −1.44830 | + | 0.794605i | ||||
\(934\) | 19.2056 | − | 16.2035i | 0.628426 | − | 0.530194i | ||||
\(935\) | 3.12352 | − | 25.7245i | 0.102150 | − | 0.841281i | ||||
\(936\) | 8.22621 | + | 8.21444i | 0.268882 | + | 0.268497i | ||||
\(937\) | −33.8323 | − | 13.7749i | −1.10525 | − | 0.450007i | −0.250014 | − | 0.968242i | \(-0.580435\pi\) |
−0.855238 | + | 0.518236i | \(0.826589\pi\) | |||||||
\(938\) | 15.4200 | − | 3.40767i | 0.503481 | − | 0.111264i | ||||
\(939\) | 16.7808 | − | 11.4427i | 0.547621 | − | 0.373418i | ||||
\(940\) | −1.88114 | − | 5.34637i | −0.0613560 | − | 0.174379i | ||||
\(941\) | 16.4457 | − | 23.8257i | 0.536115 | − | 0.776697i | −0.457537 | − | 0.889190i | \(-0.651268\pi\) |
0.993652 | + | 0.112494i | \(0.0358838\pi\) | |||||||
\(942\) | −3.27393 | + | 3.65345i | −0.106670 | + | 0.119036i | ||||
\(943\) | 13.2108 | − | 16.4490i | 0.430204 | − | 0.535655i | ||||
\(944\) | −11.5900 | − | 1.97951i | −0.377222 | − | 0.0644275i | ||||
\(945\) | 15.5410 | + | 3.71343i | 0.505550 | + | 0.120798i | ||||
\(946\) | −42.1549 | − | 18.3631i | −1.37057 | − | 0.597036i | ||||
\(947\) | 18.9406 | + | 8.80123i | 0.615488 | + | 0.286001i | 0.704140 | − | 0.710061i | \(-0.251333\pi\) |
−0.0886518 | + | 0.996063i | \(0.528256\pi\) | |||||||
\(948\) | −2.58080 | − | 0.585736i | −0.0838205 | − | 0.0190238i | ||||
\(949\) | 21.9400 | + | 41.8033i | 0.712204 | + | 1.35699i | ||||
\(950\) | 1.70378 | + | 0.947411i | 0.0552778 | + | 0.0307381i | ||||
\(951\) | −9.01228 | + | 25.1561i | −0.292243 | + | 0.815744i | ||||
\(952\) | 6.62305 | + | 0.642214i | 0.214654 | + | 0.0208143i | ||||
\(953\) | 40.3922 | + | 30.8650i | 1.30843 | + | 0.999815i | 0.998801 | + | 0.0489586i | \(0.0155902\pi\) |
0.309631 | + | 0.950857i | \(0.399794\pi\) | |||||||
\(954\) | −25.6887 | + | 23.3518i | −0.831701 | + | 0.756042i | ||||
\(955\) | −15.4331 | − | 4.60531i | −0.499402 | − | 0.149024i | ||||
\(956\) | 19.8636 | − | 22.4214i | 0.642436 | − | 0.725160i | ||||
\(957\) | −3.68692 | − | 26.2936i | −0.119181 | − | 0.849951i | ||||
\(958\) | −6.48695 | − | 10.4436i | −0.209584 | − | 0.337417i | ||||
\(959\) | −1.49999 | + | 4.61650i | −0.0484372 | + | 0.149074i | ||||
\(960\) | 2.78908 | + | 1.39870i | 0.0900172 | + | 0.0451428i | ||||
\(961\) | 13.0378 | − | 8.54169i | 0.420574 | − | 0.275538i | ||||
\(962\) | 18.5805 | − | 35.4021i | 0.599059 | − | 1.14141i | ||||
\(963\) | −5.63540 | + | 2.06426i | −0.181598 | + | 0.0665200i | ||||
\(964\) | −0.956734 | − | 1.07993i | −0.0308143 | − | 0.0347822i | ||||
\(965\) | 9.37755 | + | 20.1809i | 0.301874 | + | 0.649646i | ||||
\(966\) | −11.5874 | − | 6.16579i | −0.372818 | − | 0.198381i | ||||
\(967\) | 19.2032 | + | 17.8592i | 0.617535 | + | 0.574312i | 0.926282 | − | 0.376832i | \(-0.122987\pi\) |
−0.308747 | + | 0.951144i | \(0.599910\pi\) | |||||||
\(968\) | −0.315594 | − | 2.59915i | −0.0101436 | − | 0.0835399i | ||||
\(969\) | 1.12587 | − | 7.41529i | 0.0361682 | − | 0.238213i | ||||
\(970\) | −6.62750 | − | 20.3973i | −0.212796 | − | 0.654919i | ||||
\(971\) | 17.9993 | − | 21.3341i | 0.577625 | − | 0.684645i | −0.394557 | − | 0.918871i | \(-0.629102\pi\) |
0.972182 | + | 0.234227i | \(0.0752558\pi\) | |||||||
\(972\) | −3.79488 | + | 15.1195i | −0.121721 | + | 0.484958i | ||||
\(973\) | −9.74442 | − | 9.98280i | −0.312392 | − | 0.320034i | ||||
\(974\) | 2.67213 | + | 0.940199i | 0.0856206 | + | 0.0301259i | ||||
\(975\) | −1.35327 | − | 11.7006i | −0.0433394 | − | 0.374719i | ||||
\(976\) | −2.52421 | + | 1.02774i | −0.0807980 | + | 0.0328972i | ||||
\(977\) | 31.3671 | − | 21.6511i | 1.00352 | − | 0.692681i | 0.0514881 | − | 0.998674i | \(-0.483604\pi\) |
0.952034 | + | 0.305992i | \(0.0989882\pi\) | |||||||
\(978\) | 15.4194 | + | 33.6829i | 0.493058 | + | 1.07706i | ||||
\(979\) | 40.7667 | + | 10.0481i | 1.30291 | + | 0.321138i | ||||
\(980\) | 6.88238 | + | 2.61014i | 0.219849 | + | 0.0833779i | ||||
\(981\) | −5.22778 | − | 9.65826i | −0.166910 | − | 0.308364i | ||||
\(982\) | −27.1063 | + | 15.9423i | −0.864996 | + | 0.508740i | ||||
\(983\) | 11.2779 | − | 6.63302i | 0.359710 | − | 0.211560i | −0.315946 | − | 0.948777i | \(-0.602322\pi\) |
0.675656 | + | 0.737217i | \(0.263860\pi\) | |||||||
\(984\) | 6.96738 | + | 4.38281i | 0.222112 | + | 0.139719i | ||||
\(985\) | 1.22850 | + | 0.465907i | 0.0391431 | + | 0.0148450i | ||||
\(986\) | −15.7217 | − | 3.87505i | −0.500681 | − | 0.123407i | ||||
\(987\) | −8.45815 | + | 3.87199i | −0.269226 | + | 0.123247i | ||||
\(988\) | −3.54275 | + | 2.44538i | −0.112710 | + | 0.0777981i | ||||
\(989\) | 51.2308 | − | 20.8588i | 1.62905 | − | 0.663271i | ||||
\(990\) | −18.3843 | − | 7.72998i | −0.584291 | − | 0.245675i | ||||
\(991\) | 12.8909 | + | 4.53573i | 0.409494 | + | 0.144082i | 0.528742 | − | 0.848782i | \(-0.322664\pi\) |
−0.119248 | + | 0.992864i | \(0.538048\pi\) | |||||||
\(992\) | 2.74234 | + | 2.80943i | 0.0870695 | + | 0.0891995i | ||||
\(993\) | −4.48204 | − | 18.6396i | −0.142233 | − | 0.591511i | ||||
\(994\) | 1.55773 | − | 1.84634i | 0.0494081 | − | 0.0585623i | ||||
\(995\) | −8.43608 | − | 25.9636i | −0.267442 | − | 0.823101i | ||||
\(996\) | −7.35391 | − | 1.11655i | −0.233018 | − | 0.0353793i | ||||
\(997\) | −3.80196 | − | 31.3120i | −0.120409 | − | 0.991660i | −0.920218 | − | 0.391405i | \(-0.871989\pi\) |
0.799809 | − | 0.600255i | \(-0.204934\pi\) | |||||||
\(998\) | −14.6947 | − | 13.6661i | −0.465151 | − | 0.432594i | ||||
\(999\) | 53.5296 | − | 2.97112i | 1.69360 | − | 0.0940022i |
(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 | 786.2.o.b.185.3 | yes | 1056 | |
3.2 | odd | 2 | 786.2.o.a.185.12 | yes | 1056 | ||
131.17 | odd | 130 | 786.2.o.a.17.12 | ✓ | 1056 | ||
393.17 | even | 130 | inner | 786.2.o.b.17.3 | yes | 1056 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
786.2.o.a.17.12 | ✓ | 1056 | 131.17 | odd | 130 | ||
786.2.o.a.185.12 | yes | 1056 | 3.2 | odd | 2 | ||
786.2.o.b.17.3 | yes | 1056 | 393.17 | even | 130 | inner | |
786.2.o.b.185.3 | yes | 1056 | 1.1 | even | 1 | trivial |