Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [200,2,Mod(29,200)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(200, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 5, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("200.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 200 = 2^{3} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 200.o (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.59700804043\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 29.10 | ||
Character | \(\chi\) | \(=\) | 200.29 |
Dual form | 200.2.o.a.69.10 |
$q$-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 \(\left(\mathbb{Z}/200\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(177\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{1}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.717591 | + | 1.21863i | −0.507414 | + | 0.861703i | ||||
\(3\) | −2.54275 | − | 1.84742i | −1.46806 | − | 1.06661i | −0.981170 | − | 0.193145i | \(-0.938131\pi\) |
−0.486890 | − | 0.873463i | \(-0.661869\pi\) | |||||||
\(4\) | −0.970125 | − | 1.74896i | −0.485063 | − | 0.874479i | ||||
\(5\) | −1.08744 | + | 1.95384i | −0.486318 | + | 0.873782i | ||||
\(6\) | 4.07598 | − | 1.77299i | 1.66401 | − | 0.723819i | ||||
\(7\) | − | 1.17589i | − | 0.444443i | −0.974996 | − | 0.222222i | \(-0.928669\pi\) | ||
0.974996 | − | 0.222222i | \(-0.0713308\pi\) | |||||||
\(8\) | 2.82749 | + | 0.0728129i | 0.999669 | + | 0.0257432i | ||||
\(9\) | 2.12559 | + | 6.54190i | 0.708531 | + | 2.18063i | ||||
\(10\) | −1.60067 | − | 2.72724i | −0.506176 | − | 0.862430i | ||||
\(11\) | 3.77756 | + | 1.22741i | 1.13898 | + | 0.370077i | 0.816981 | − | 0.576664i | \(-0.195646\pi\) |
0.321997 | + | 0.946741i | \(0.395646\pi\) | |||||||
\(12\) | −0.764270 | + | 6.23940i | −0.220626 | + | 1.80116i | ||||
\(13\) | −0.280944 | − | 0.864656i | −0.0779198 | − | 0.239812i | 0.904508 | − | 0.426457i | \(-0.140239\pi\) |
−0.982427 | + | 0.186645i | \(0.940239\pi\) | |||||||
\(14\) | 1.43297 | + | 0.843806i | 0.382978 | + | 0.225517i | ||||
\(15\) | 6.37465 | − | 2.95917i | 1.64593 | − | 0.764054i | ||||
\(16\) | −2.11771 | + | 3.39342i | −0.529429 | + | 0.848355i | ||||
\(17\) | 3.27511 | + | 4.50780i | 0.794331 | + | 1.09330i | 0.993555 | + | 0.113348i | \(0.0361576\pi\) |
−0.199225 | + | 0.979954i | \(0.563842\pi\) | |||||||
\(18\) | −9.49747 | − | 2.10410i | −2.23858 | − | 0.495940i | ||||
\(19\) | 2.64864 | + | 3.64555i | 0.607641 | + | 0.836346i | 0.996381 | − | 0.0850017i | \(-0.0270896\pi\) |
−0.388740 | + | 0.921348i | \(0.627090\pi\) | |||||||
\(20\) | 4.47213 | + | 0.00642071i | 0.999999 | + | 0.00143571i | ||||
\(21\) | −2.17235 | + | 2.98999i | −0.474047 | + | 0.652469i | ||||
\(22\) | −4.20650 | + | 3.72268i | −0.896829 | + | 0.793679i | ||||
\(23\) | −2.07468 | − | 0.674105i | −0.432601 | − | 0.140561i | 0.0846183 | − | 0.996413i | \(-0.473033\pi\) |
−0.517220 | + | 0.855853i | \(0.673033\pi\) | |||||||
\(24\) | −7.05510 | − | 5.40870i | −1.44012 | − | 1.10405i | ||||
\(25\) | −2.63495 | − | 4.24936i | −0.526990 | − | 0.849871i | ||||
\(26\) | 1.25530 | + | 0.278103i | 0.246184 | + | 0.0545404i | ||||
\(27\) | 3.76703 | − | 11.5937i | 0.724966 | − | 2.23122i | ||||
\(28\) | −2.05658 | + | 1.14076i | −0.388656 | + | 0.215583i | ||||
\(29\) | 3.65841 | − | 5.03536i | 0.679349 | − | 0.935044i | −0.320577 | − | 0.947223i | \(-0.603877\pi\) |
0.999926 | + | 0.0121788i | \(0.00387674\pi\) | |||||||
\(30\) | −0.968254 | + | 9.89182i | −0.176778 | + | 1.80599i | ||||
\(31\) | −1.16778 | + | 0.848445i | −0.209740 | + | 0.152385i | −0.687696 | − | 0.725999i | \(-0.741378\pi\) |
0.477956 | + | 0.878384i | \(0.341378\pi\) | |||||||
\(32\) | −2.61567 | − | 5.01580i | −0.462390 | − | 0.886677i | ||||
\(33\) | −7.33789 | − | 10.0997i | −1.27736 | − | 1.75814i | ||||
\(34\) | −7.84354 | + | 0.756392i | −1.34516 | + | 0.129720i | ||||
\(35\) | 2.29749 | + | 1.27870i | 0.388347 | + | 0.216141i | ||||
\(36\) | 9.37942 | − | 10.0640i | 1.56324 | − | 1.67734i | ||||
\(37\) | 2.16303 | + | 6.65712i | 0.355600 | + | 1.09442i | 0.955661 | + | 0.294470i | \(0.0951431\pi\) |
−0.600061 | + | 0.799954i | \(0.704857\pi\) | |||||||
\(38\) | −6.34322 | + | 0.611709i | −1.02901 | + | 0.0992323i | ||||
\(39\) | −0.883011 | + | 2.71763i | −0.141395 | + | 0.435169i | ||||
\(40\) | −3.21699 | + | 5.44527i | −0.508650 | + | 0.860973i | ||||
\(41\) | 1.97065 | + | 6.06503i | 0.307763 | + | 0.947198i | 0.978632 | + | 0.205622i | \(0.0659216\pi\) |
−0.670868 | + | 0.741577i | \(0.734078\pi\) | |||||||
\(42\) | −2.08483 | − | 4.79289i | −0.321697 | − | 0.739559i | ||||
\(43\) | 2.96089 | 0.451532 | 0.225766 | − | 0.974182i | \(-0.427512\pi\) | ||||
0.225766 | + | 0.974182i | \(0.427512\pi\) | |||||||
\(44\) | −1.51803 | − | 7.79754i | −0.228852 | − | 1.17552i | ||||
\(45\) | −15.0933 | − | 2.96086i | −2.24997 | − | 0.441379i | ||||
\(46\) | 2.31026 | − | 2.04454i | 0.340629 | − | 0.301451i | ||||
\(47\) | −3.12538 | + | 4.30172i | −0.455884 | + | 0.627470i | −0.973649 | − | 0.228053i | \(-0.926764\pi\) |
0.517765 | + | 0.855523i | \(0.326764\pi\) | |||||||
\(48\) | 11.6539 | − | 4.71632i | 1.68209 | − | 0.680743i | ||||
\(49\) | 5.61729 | 0.802470 | ||||||||
\(50\) | 7.06922 | − | 0.161734i | 0.999738 | − | 0.0228727i | ||||
\(51\) | − | 17.5127i | − | 2.45227i | ||||||
\(52\) | −1.23970 | + | 1.33018i | −0.171915 | + | 0.184463i | ||||
\(53\) | 10.5708 | + | 7.68016i | 1.45202 | + | 1.05495i | 0.985355 | + | 0.170515i | \(0.0545433\pi\) |
0.466661 | + | 0.884436i | \(0.345457\pi\) | |||||||
\(54\) | 11.4253 | + | 12.9102i | 1.55479 | + | 1.75685i | ||||
\(55\) | −6.50602 | + | 6.04601i | −0.877272 | + | 0.815244i | ||||
\(56\) | 0.0856196 | − | 3.32481i | 0.0114414 | − | 0.444296i | ||||
\(57\) | − | 14.1629i | − | 1.87592i | ||||||
\(58\) | 3.51101 | + | 8.07158i | 0.461019 | + | 1.05985i | ||||
\(59\) | −1.22277 | + | 0.397301i | −0.159191 | + | 0.0517242i | −0.387528 | − | 0.921858i | \(-0.626671\pi\) |
0.228338 | + | 0.973582i | \(0.426671\pi\) | |||||||
\(60\) | −11.3597 | − | 8.27823i | −1.46653 | − | 1.06871i | ||||
\(61\) | −14.7321 | − | 4.78675i | −1.88625 | − | 0.612881i | −0.982948 | − | 0.183885i | \(-0.941133\pi\) |
−0.903306 | − | 0.428996i | \(-0.858867\pi\) | |||||||
\(62\) | −0.195950 | − | 2.03194i | −0.0248857 | − | 0.258056i | ||||
\(63\) | 7.69253 | − | 2.49945i | 0.969167 | − | 0.314902i | ||||
\(64\) | 7.98940 | + | 0.411755i | 0.998675 | + | 0.0514694i | ||||
\(65\) | 1.99491 | + | 0.391343i | 0.247438 | + | 0.0485401i | ||||
\(66\) | 17.5735 | − | 1.69470i | 2.16314 | − | 0.208603i | ||||
\(67\) | −2.45652 | + | 1.78477i | −0.300112 | + | 0.218044i | −0.727642 | − | 0.685957i | \(-0.759384\pi\) |
0.427530 | + | 0.904001i | \(0.359384\pi\) | |||||||
\(68\) | 4.70669 | − | 10.1012i | 0.570770 | − | 1.22495i | ||||
\(69\) | 4.03005 | + | 5.54689i | 0.485161 | + | 0.667767i | ||||
\(70\) | −3.20693 | + | 1.88220i | −0.383301 | + | 0.224967i | ||||
\(71\) | −1.58201 | − | 1.14940i | −0.187750 | − | 0.136409i | 0.489940 | − | 0.871756i | \(-0.337019\pi\) |
−0.677690 | + | 0.735348i | \(0.737019\pi\) | |||||||
\(72\) | 5.53375 | + | 18.6519i | 0.652159 | + | 2.19815i | ||||
\(73\) | 4.01616 | + | 1.30493i | 0.470056 | + | 0.152731i | 0.534461 | − | 0.845193i | \(-0.320515\pi\) |
−0.0644044 | + | 0.997924i | \(0.520515\pi\) | |||||||
\(74\) | −9.66475 | − | 2.14116i | −1.12350 | − | 0.248905i | ||||
\(75\) | −1.15031 | + | 15.6729i | −0.132826 | + | 1.80975i | ||||
\(76\) | 3.80639 | − | 8.16901i | 0.436623 | − | 0.937049i | ||||
\(77\) | 1.44329 | − | 4.44199i | 0.164478 | − | 0.506211i | ||||
\(78\) | −2.67815 | − | 3.02621i | −0.303240 | − | 0.342651i | ||||
\(79\) | 2.23200 | + | 1.62164i | 0.251119 | + | 0.182449i | 0.706223 | − | 0.707990i | \(-0.250398\pi\) |
−0.455103 | + | 0.890439i | \(0.650398\pi\) | |||||||
\(80\) | −4.32730 | − | 7.82780i | −0.483807 | − | 0.875175i | ||||
\(81\) | −14.3025 | + | 10.3914i | −1.58917 | + | 1.15460i | ||||
\(82\) | −8.80515 | − | 1.95072i | −0.972366 | − | 0.215421i | ||||
\(83\) | −7.65878 | + | 5.56443i | −0.840660 | + | 0.610775i | −0.922555 | − | 0.385866i | \(-0.873903\pi\) |
0.0818950 | + | 0.996641i | \(0.473903\pi\) | |||||||
\(84\) | 7.33683 | + | 0.898695i | 0.800513 | + | 0.0980557i | ||||
\(85\) | −12.3690 | + | 1.49707i | −1.34160 | + | 0.162380i | ||||
\(86\) | −2.12471 | + | 3.60824i | −0.229113 | + | 0.389086i | ||||
\(87\) | −18.6049 | + | 6.04509i | −1.99465 | + | 0.648101i | ||||
\(88\) | 10.5917 | + | 3.74553i | 1.12907 | + | 0.399275i | ||||
\(89\) | 0.806910 | − | 2.48341i | 0.0855323 | − | 0.263241i | −0.899139 | − | 0.437664i | \(-0.855806\pi\) |
0.984671 | + | 0.174423i | \(0.0558059\pi\) | |||||||
\(90\) | 14.4390 | − | 16.2684i | 1.52200 | − | 1.71484i | ||||
\(91\) | −1.01674 | + | 0.330358i | −0.106583 | + | 0.0346309i | ||||
\(92\) | 0.833719 | + | 4.28250i | 0.0869213 | + | 0.446482i | ||||
\(93\) | 4.53682 | 0.470447 | ||||||||
\(94\) | −2.99946 | − | 6.89556i | −0.309371 | − | 0.711223i | ||||
\(95\) | −10.0030 | + | 1.21071i | −1.02629 | + | 0.124216i | ||||
\(96\) | −2.61528 | + | 17.5862i | −0.266920 | + | 1.79488i | ||||
\(97\) | −0.171369 | + | 0.235869i | −0.0173999 | + | 0.0239489i | −0.817628 | − | 0.575746i | \(-0.804712\pi\) |
0.800228 | + | 0.599695i | \(0.204712\pi\) | |||||||
\(98\) | −4.03092 | + | 6.84541i | −0.407184 | + | 0.691491i | ||||
\(99\) | 27.3214i | 2.74590i | ||||||||
\(100\) | −4.87572 | + | 8.73083i | −0.487572 | + | 0.873083i | ||||
\(101\) | 7.84171i | 0.780280i | 0.920756 | + | 0.390140i | \(0.127573\pi\) | ||||
−0.920756 | + | 0.390140i | \(0.872427\pi\) | |||||||
\(102\) | 21.3416 | + | 12.5670i | 2.11313 | + | 1.24432i | ||||
\(103\) | 7.73997 | − | 10.6532i | 0.762642 | − | 1.04969i | −0.234347 | − | 0.972153i | \(-0.575295\pi\) |
0.996990 | − | 0.0775342i | \(-0.0247047\pi\) | |||||||
\(104\) | −0.731407 | − | 2.46526i | −0.0717204 | − | 0.241739i | ||||
\(105\) | −3.47965 | − | 7.49586i | −0.339579 | − | 0.731521i | ||||
\(106\) | −16.9448 | + | 7.37074i | −1.64583 | + | 0.715909i | ||||
\(107\) | 7.00700 | 0.677392 | 0.338696 | − | 0.940896i | \(-0.390014\pi\) | ||||
0.338696 | + | 0.940896i | \(0.390014\pi\) | |||||||
\(108\) | −23.9315 | + | 4.65899i | −2.30281 | + | 0.448312i | ||||
\(109\) | 2.56991 | − | 0.835013i | 0.246152 | − | 0.0799797i | −0.183342 | − | 0.983049i | \(-0.558692\pi\) |
0.429495 | + | 0.903069i | \(0.358692\pi\) | |||||||
\(110\) | −2.69920 | − | 12.2670i | −0.257358 | − | 1.16961i | ||||
\(111\) | 6.79844 | − | 20.9235i | 0.645280 | − | 1.98597i | ||||
\(112\) | 3.99027 | + | 2.49019i | 0.377045 | + | 0.235301i | ||||
\(113\) | 4.34695 | − | 1.41241i | 0.408926 | − | 0.132868i | −0.0973282 | − | 0.995252i | \(-0.531030\pi\) |
0.506255 | + | 0.862384i | \(0.331030\pi\) | |||||||
\(114\) | 17.2593 | + | 10.1632i | 1.61649 | + | 0.951868i | ||||
\(115\) | 3.57318 | − | 3.32054i | 0.333201 | − | 0.309642i | ||||
\(116\) | −12.3558 | − | 1.51347i | −1.14720 | − | 0.140522i | ||||
\(117\) | 5.05932 | − | 3.67581i | 0.467734 | − | 0.339829i | ||||
\(118\) | 0.393283 | − | 1.77520i | 0.0362047 | − | 0.163420i | ||||
\(119\) | 5.30066 | − | 3.85116i | 0.485911 | − | 0.353035i | ||||
\(120\) | 18.2397 | − | 7.90287i | 1.66505 | − | 0.721430i | ||||
\(121\) | 3.86428 | + | 2.80757i | 0.351299 | + | 0.255233i | ||||
\(122\) | 16.4049 | − | 14.5181i | 1.48523 | − | 1.31441i | ||||
\(123\) | 6.19378 | − | 19.0625i | 0.558474 | − | 1.71881i | ||||
\(124\) | 2.61679 | + | 1.21931i | 0.234995 | + | 0.109497i | ||||
\(125\) | 11.1679 | − | 0.527349i | 0.998887 | − | 0.0471675i | ||||
\(126\) | −2.47418 | + | 11.1679i | −0.220417 | + | 0.994919i | ||||
\(127\) | −8.20787 | − | 2.66690i | −0.728330 | − | 0.236649i | −0.0786992 | − | 0.996898i | \(-0.525077\pi\) |
−0.649631 | + | 0.760250i | \(0.725077\pi\) | |||||||
\(128\) | −6.23490 | + | 9.44066i | −0.551093 | + | 0.834444i | ||||
\(129\) | −7.52882 | − | 5.47001i | −0.662876 | − | 0.481607i | ||||
\(130\) | −1.90843 | + | 2.15023i | −0.167380 | + | 0.188588i | ||||
\(131\) | −5.11250 | − | 7.03676i | −0.446681 | − | 0.614804i | 0.524999 | − | 0.851103i | \(-0.324066\pi\) |
−0.971680 | + | 0.236299i | \(0.924066\pi\) | |||||||
\(132\) | −10.5454 | + | 22.6317i | −0.917855 | + | 1.96983i | ||||
\(133\) | 4.28675 | − | 3.11451i | 0.371708 | − | 0.270062i | ||||
\(134\) | −0.412194 | − | 4.27432i | −0.0356082 | − | 0.369245i | ||||
\(135\) | 18.5558 | + | 19.9677i | 1.59703 | + | 1.71854i | ||||
\(136\) | 8.93211 | + | 12.9842i | 0.765922 | + | 1.11339i | ||||
\(137\) | 3.46540 | − | 1.12598i | 0.296069 | − | 0.0961988i | −0.157216 | − | 0.987564i | \(-0.550252\pi\) |
0.453285 | + | 0.891365i | \(0.350252\pi\) | |||||||
\(138\) | −9.65155 | + | 0.930747i | −0.821594 | + | 0.0792305i | ||||
\(139\) | −13.2832 | − | 4.31597i | −1.12666 | − | 0.366075i | −0.314357 | − | 0.949305i | \(-0.601789\pi\) |
−0.812307 | + | 0.583230i | \(0.801789\pi\) | |||||||
\(140\) | 0.00755002 | − | 5.25872i | 0.000638094 | − | 0.444443i | ||||
\(141\) | 15.8941 | − | 5.16432i | 1.33853 | − | 0.434914i | ||||
\(142\) | 2.53593 | − | 1.10309i | 0.212811 | − | 0.0925693i | ||||
\(143\) | − | 3.61112i | − | 0.301977i | ||||||
\(144\) | −26.7008 | − | 6.64085i | −2.22507 | − | 0.553404i | ||||
\(145\) | 5.85998 | + | 12.6236i | 0.486645 | + | 1.04833i | ||||
\(146\) | −4.47219 | + | 3.95781i | −0.370121 | + | 0.327551i | ||||
\(147\) | −14.2834 | − | 10.3775i | −1.17807 | − | 0.855921i | ||||
\(148\) | 9.54463 | − | 10.2413i | 0.784563 | − | 0.841829i | ||||
\(149\) | 2.61363i | 0.214117i | 0.994253 | + | 0.107059i | \(0.0341433\pi\) | ||||
−0.994253 | + | 0.107059i | \(0.965857\pi\) | |||||||
\(150\) | −18.2741 | − | 12.6486i | −1.49207 | − | 1.03275i | ||||
\(151\) | 10.6178 | 0.864067 | 0.432034 | − | 0.901857i | \(-0.357796\pi\) | ||||
0.432034 | + | 0.901857i | \(0.357796\pi\) | |||||||
\(152\) | 7.22357 | + | 10.5006i | 0.585909 | + | 0.851711i | ||||
\(153\) | −22.5280 | + | 31.0072i | −1.82128 | + | 2.50678i | ||||
\(154\) | 4.37745 | + | 4.94637i | 0.352745 | + | 0.398590i | ||||
\(155\) | −0.387828 | − | 3.20429i | −0.0311511 | − | 0.257375i | ||||
\(156\) | 5.60965 | − | 1.09209i | 0.449132 | − | 0.0874372i | ||||
\(157\) | −3.90358 | −0.311539 | −0.155770 | − | 0.987793i | \(-0.549786\pi\) | ||||
−0.155770 | + | 0.987793i | \(0.549786\pi\) | |||||||
\(158\) | −3.57784 | + | 1.55631i | −0.284638 | + | 0.123813i | ||||
\(159\) | −12.6906 | − | 39.0575i | −1.00643 | − | 3.09746i | ||||
\(160\) | 12.6444 | + | 0.343783i | 0.999631 | + | 0.0271784i | ||||
\(161\) | −0.792671 | + | 2.43959i | −0.0624712 | + | 0.192267i | ||||
\(162\) | −2.39991 | − | 24.8863i | −0.188555 | − | 1.95525i | ||||
\(163\) | 6.06584 | + | 18.6687i | 0.475114 | + | 1.46225i | 0.845805 | + | 0.533493i | \(0.179121\pi\) |
−0.370691 | + | 0.928756i | \(0.620879\pi\) | |||||||
\(164\) | 8.69571 | − | 9.33042i | 0.679021 | − | 0.728583i | ||||
\(165\) | 27.7127 | − | 3.35418i | 2.15743 | − | 0.261123i | ||||
\(166\) | −1.28511 | − | 13.3262i | −0.0997441 | − | 1.03431i | ||||
\(167\) | 9.89993 | + | 13.6261i | 0.766080 | + | 1.05442i | 0.996684 | + | 0.0813708i | \(0.0259298\pi\) |
−0.230604 | + | 0.973048i | \(0.574070\pi\) | |||||||
\(168\) | −6.36002 | + | 8.29599i | −0.490686 | + | 0.640050i | ||||
\(169\) | 9.84852 | − | 7.15537i | 0.757579 | − | 0.550413i | ||||
\(170\) | 7.05150 | − | 16.1475i | 0.540826 | − | 1.23846i | ||||
\(171\) | −18.2189 | + | 25.0761i | −1.39323 | + | 1.91762i | ||||
\(172\) | −2.87244 | − | 5.17848i | −0.219021 | − | 0.394855i | ||||
\(173\) | 3.14623 | − | 9.68309i | 0.239203 | − | 0.736192i | −0.757333 | − | 0.653029i | \(-0.773498\pi\) |
0.996536 | − | 0.0831625i | \(-0.0265020\pi\) | |||||||
\(174\) | 5.98396 | − | 27.0104i | 0.453643 | − | 2.04765i | ||||
\(175\) | −4.99676 | + | 3.09840i | −0.377719 | + | 0.234217i | ||||
\(176\) | −12.1649 | + | 10.2196i | −0.916964 | + | 0.770328i | ||||
\(177\) | 3.84317 | + | 1.24872i | 0.288871 | + | 0.0938598i | ||||
\(178\) | 2.44733 | + | 2.76540i | 0.183435 | + | 0.207276i | ||||
\(179\) | 8.87687 | − | 12.2180i | 0.663488 | − | 0.913214i | −0.336102 | − | 0.941826i | \(-0.609109\pi\) |
0.999591 | + | 0.0286120i | \(0.00910873\pi\) | |||||||
\(180\) | 9.46392 | + | 29.2699i | 0.705399 | + | 2.18165i | ||||
\(181\) | −11.1217 | − | 15.3077i | −0.826668 | − | 1.13781i | −0.988534 | − | 0.150998i | \(-0.951751\pi\) |
0.161866 | − | 0.986813i | \(-0.448249\pi\) | |||||||
\(182\) | 0.327017 | − | 1.47609i | 0.0242401 | − | 0.109415i | ||||
\(183\) | 28.6170 | + | 39.3879i | 2.11543 | + | 2.91164i | ||||
\(184\) | −5.81706 | − | 2.05709i | −0.428839 | − | 0.151651i | ||||
\(185\) | −15.3591 | − | 3.01301i | −1.12922 | − | 0.221521i | ||||
\(186\) | −3.25559 | + | 5.52872i | −0.238711 | + | 0.405385i | ||||
\(187\) | 6.83904 | + | 21.0484i | 0.500120 | + | 1.53921i | ||||
\(188\) | 10.5555 | + | 1.29296i | 0.769841 | + | 0.0942986i | ||||
\(189\) | −13.6329 | − | 4.42960i | −0.991649 | − | 0.322206i | ||||
\(190\) | 5.70269 | − | 13.0588i | 0.413717 | − | 0.947386i | ||||
\(191\) | −0.692493 | − | 2.13127i | −0.0501070 | − | 0.154214i | 0.922872 | − | 0.385106i | \(-0.125835\pi\) |
−0.972979 | + | 0.230893i | \(0.925835\pi\) | |||||||
\(192\) | −19.5544 | − | 15.8068i | −1.41122 | − | 1.14075i | ||||
\(193\) | − | 22.6952i | − | 1.63363i | −0.576896 | − | 0.816817i | \(-0.695736\pi\) | ||
0.576896 | − | 0.816817i | \(-0.304264\pi\) | |||||||
\(194\) | −0.164465 | − | 0.378093i | −0.0118079 | − | 0.0271455i | ||||
\(195\) | −4.34958 | − | 4.68051i | −0.311480 | − | 0.335179i | ||||
\(196\) | −5.44948 | − | 9.82441i | −0.389248 | − | 0.701744i | ||||
\(197\) | −10.5031 | − | 7.63095i | −0.748315 | − | 0.543682i | 0.146989 | − | 0.989138i | \(-0.453042\pi\) |
−0.895304 | + | 0.445456i | \(0.853042\pi\) | |||||||
\(198\) | −33.2947 | − | 19.6056i | −2.36615 | − | 1.39331i | ||||
\(199\) | −18.2166 | −1.29134 | −0.645672 | − | 0.763615i | \(-0.723423\pi\) | ||||
−0.645672 | + | 0.763615i | \(0.723423\pi\) | |||||||
\(200\) | −7.14089 | − | 12.2069i | −0.504937 | − | 0.863156i | ||||
\(201\) | 9.54353 | 0.673149 | ||||||||
\(202\) | −9.55616 | − | 5.62715i | −0.672369 | − | 0.395925i | ||||
\(203\) | −5.92102 | − | 4.30187i | −0.415574 | − | 0.301932i | ||||
\(204\) | −30.6290 | + | 16.9895i | −2.14446 | + | 1.18951i | ||||
\(205\) | −13.9930 | − | 2.74503i | −0.977316 | − | 0.191721i | ||||
\(206\) | 7.42814 | + | 17.0768i | 0.517543 | + | 1.18980i | ||||
\(207\) | − | 15.0052i | − | 1.04294i | ||||||
\(208\) | 3.52910 | + | 0.877735i | 0.244699 | + | 0.0608599i | ||||
\(209\) | 5.53086 | + | 17.0222i | 0.382578 | + | 1.17745i | ||||
\(210\) | 11.6317 | + | 1.13856i | 0.802660 | + | 0.0785678i | ||||
\(211\) | −1.67102 | − | 0.542946i | −0.115037 | − | 0.0373779i | 0.250933 | − | 0.968005i | \(-0.419263\pi\) |
−0.365970 | + | 0.930627i | \(0.619263\pi\) | |||||||
\(212\) | 3.17725 | − | 25.9387i | 0.218215 | − | 1.78148i | ||||
\(213\) | 1.89925 | + | 5.84528i | 0.130134 | + | 0.400512i | ||||
\(214\) | −5.02816 | + | 8.53895i | −0.343718 | + | 0.583711i | ||||
\(215\) | −3.21979 | + | 5.78510i | −0.219588 | + | 0.394540i | ||||
\(216\) | 11.4954 | − | 32.5069i | 0.782165 | − | 2.21181i | ||||
\(217\) | 0.997675 | + | 1.37318i | 0.0677266 | + | 0.0932177i | ||||
\(218\) | −0.826569 | + | 3.73097i | −0.0559823 | + | 0.252693i | ||||
\(219\) | −7.80136 | − | 10.7377i | −0.527167 | − | 0.725583i | ||||
\(220\) | 16.8859 | + | 5.51337i | 1.13845 | + | 0.371711i | ||||
\(221\) | 2.97757 | − | 4.09828i | 0.200293 | − | 0.275680i | ||||
\(222\) | 20.6195 | + | 23.2993i | 1.38389 | + | 1.56375i | ||||
\(223\) | −1.48230 | − | 0.481630i | −0.0992625 | − | 0.0322523i | 0.258965 | − | 0.965887i | \(-0.416619\pi\) |
−0.358227 | + | 0.933634i | \(0.616619\pi\) | |||||||
\(224\) | −5.89801 | + | 3.07573i | −0.394077 | + | 0.205506i | ||||
\(225\) | 22.1980 | − | 26.2700i | 1.47987 | − | 1.75133i | ||||
\(226\) | −1.39813 | + | 6.31086i | −0.0930020 | + | 0.419792i | ||||
\(227\) | −2.84981 | + | 8.77081i | −0.189148 | + | 0.582139i | −0.999995 | − | 0.00311955i | \(-0.999007\pi\) |
0.810847 | + | 0.585259i | \(0.199007\pi\) | |||||||
\(228\) | −24.7703 | + | 13.7398i | −1.64045 | + | 0.909939i | ||||
\(229\) | 6.64077 | − | 9.14023i | 0.438834 | − | 0.604003i | −0.531118 | − | 0.847298i | \(-0.678228\pi\) |
0.969953 | + | 0.243294i | \(0.0782280\pi\) | |||||||
\(230\) | 1.48243 | + | 6.73718i | 0.0977486 | + | 0.444237i | ||||
\(231\) | −11.8761 | + | 8.62852i | −0.781393 | + | 0.567715i | ||||
\(232\) | 10.7107 | − | 13.9711i | 0.703195 | − | 0.917245i | ||||
\(233\) | −7.30682 | − | 10.0570i | −0.478685 | − | 0.658854i | 0.499566 | − | 0.866276i | \(-0.333493\pi\) |
−0.978252 | + | 0.207422i | \(0.933493\pi\) | |||||||
\(234\) | 0.848934 | + | 8.80318i | 0.0554966 | + | 0.575482i | ||||
\(235\) | −5.00619 | − | 10.7843i | −0.326568 | − | 0.703492i | ||||
\(236\) | 1.88110 | + | 1.75314i | 0.122449 | + | 0.114119i | ||||
\(237\) | −2.67957 | − | 8.24687i | −0.174057 | − | 0.535692i | ||||
\(238\) | 0.889430 | + | 9.22311i | 0.0576532 | + | 0.597845i | ||||
\(239\) | −8.53966 | + | 26.2824i | −0.552384 | + | 1.70006i | 0.150368 | + | 0.988630i | \(0.451954\pi\) |
−0.702752 | + | 0.711435i | \(0.748046\pi\) | |||||||
\(240\) | −3.45798 | + | 27.8985i | −0.223212 | + | 1.80084i | ||||
\(241\) | −1.32369 | − | 4.07389i | −0.0852663 | − | 0.262423i | 0.899329 | − | 0.437273i | \(-0.144056\pi\) |
−0.984595 | + | 0.174851i | \(0.944056\pi\) | |||||||
\(242\) | −6.19437 | + | 2.69445i | −0.398189 | + | 0.173206i | ||||
\(243\) | 18.9940 | 1.21846 | ||||||||
\(244\) | 5.92016 | + | 30.4096i | 0.378999 | + | 1.94678i | ||||
\(245\) | −6.10846 | + | 10.9753i | −0.390255 | + | 0.701184i | ||||
\(246\) | 18.7855 | + | 21.2270i | 1.19772 | + | 1.35338i | ||||
\(247\) | 2.40802 | − | 3.31436i | 0.153219 | − | 0.210888i | ||||
\(248\) | −3.36368 | + | 2.31394i | −0.213594 | + | 0.146935i | ||||
\(249\) | 29.7542 | 1.88560 | ||||||||
\(250\) | −7.37134 | + | 13.9880i | −0.466205 | + | 0.884677i | ||||
\(251\) | 13.4000i | 0.845800i | 0.906176 | + | 0.422900i | \(0.138988\pi\) | ||||
−0.906176 | + | 0.422900i | \(0.861012\pi\) | |||||||
\(252\) | −11.8342 | − | 11.0291i | −0.745482 | − | 0.694770i | ||||
\(253\) | −7.00985 | − | 5.09295i | −0.440705 | − | 0.320191i | ||||
\(254\) | 9.13986 | − | 8.08862i | 0.573486 | − | 0.507525i | ||||
\(255\) | 34.2170 | + | 19.0440i | 2.14275 | + | 1.19258i | ||||
\(256\) | −7.03057 | − | 14.3726i | −0.439411 | − | 0.898286i | ||||
\(257\) | 7.81899i | 0.487735i | 0.969809 | + | 0.243868i | \(0.0784162\pi\) | ||||
−0.969809 | + | 0.243868i | \(0.921584\pi\) | |||||||
\(258\) | 12.0685 | − | 5.24963i | 0.751355 | − | 0.326827i | ||||
\(259\) | 7.82802 | − | 2.54348i | 0.486409 | − | 0.158044i | ||||
\(260\) | −1.25087 | − | 3.86866i | −0.0775754 | − | 0.239924i | ||||
\(261\) | 40.7171 | + | 13.2298i | 2.52033 | + | 0.818904i | ||||
\(262\) | 12.2439 | − | 1.18074i | 0.756431 | − | 0.0729464i | ||||
\(263\) | −26.0980 | + | 8.47975i | −1.60927 | + | 0.522884i | −0.969377 | − | 0.245579i | \(-0.921022\pi\) |
−0.639894 | + | 0.768463i | \(0.721022\pi\) | |||||||
\(264\) | −20.0124 | − | 29.0912i | −1.23168 | − | 1.79044i | ||||
\(265\) | −26.5009 | + | 12.3020i | −1.62794 | + | 0.755704i | ||||
\(266\) | 0.719300 | + | 7.45891i | 0.0441031 | + | 0.457335i | ||||
\(267\) | −6.63968 | + | 4.82401i | −0.406342 | + | 0.295225i | ||||
\(268\) | 5.50461 | + | 2.56490i | 0.336248 | + | 0.156676i | ||||
\(269\) | 12.5408 | + | 17.2610i | 0.764629 | + | 1.05242i | 0.996815 | + | 0.0797498i | \(0.0254121\pi\) |
−0.232186 | + | 0.972671i | \(0.574588\pi\) | |||||||
\(270\) | −37.6487 | + | 8.28412i | −2.29123 | + | 0.504156i | ||||
\(271\) | 0.864363 | + | 0.627996i | 0.0525063 | + | 0.0381481i | 0.613729 | − | 0.789517i | \(-0.289669\pi\) |
−0.561223 | + | 0.827665i | \(0.689669\pi\) | |||||||
\(272\) | −22.2326 | + | 1.56758i | −1.34805 | + | 0.0950485i | ||||
\(273\) | 3.19562 | + | 1.03832i | 0.193408 | + | 0.0628420i | ||||
\(274\) | −1.11459 | + | 5.03104i | −0.0673350 | + | 0.303936i | ||||
\(275\) | −4.73802 | − | 19.2864i | −0.285713 | − | 1.16301i | ||||
\(276\) | 5.79163 | − | 12.4296i | 0.348615 | − | 0.748173i | ||||
\(277\) | 5.48602 | − | 16.8842i | 0.329623 | − | 1.01448i | −0.639687 | − | 0.768635i | \(-0.720936\pi\) |
0.969310 | − | 0.245840i | \(-0.0790639\pi\) | |||||||
\(278\) | 14.7915 | − | 13.0902i | 0.887133 | − | 0.785098i | ||||
\(279\) | −8.03268 | − | 5.83608i | −0.480904 | − | 0.349397i | ||||
\(280\) | 6.40302 | + | 3.78281i | 0.382654 | + | 0.226066i | ||||
\(281\) | −8.77867 | + | 6.37807i | −0.523691 | + | 0.380484i | −0.817993 | − | 0.575229i | \(-0.804913\pi\) |
0.294301 | + | 0.955713i | \(0.404913\pi\) | |||||||
\(282\) | −5.11210 | + | 23.0750i | −0.304421 | + | 1.37410i | ||||
\(283\) | 18.7899 | − | 13.6517i | 1.11695 | − | 0.811509i | 0.133203 | − | 0.991089i | \(-0.457474\pi\) |
0.983743 | + | 0.179580i | \(0.0574739\pi\) | |||||||
\(284\) | −0.475502 | + | 3.88193i | −0.0282158 | + | 0.230350i | ||||
\(285\) | 27.6720 | + | 15.4013i | 1.63915 | + | 0.912293i | ||||
\(286\) | 4.40063 | + | 2.59131i | 0.260215 | + | 0.153228i | ||||
\(287\) | 7.13178 | − | 2.31726i | 0.420976 | − | 0.136783i | ||||
\(288\) | 27.2530 | − | 27.7730i | 1.60590 | − | 1.63654i | ||||
\(289\) | −4.34064 | + | 13.3591i | −0.255332 | + | 0.785830i | ||||
\(290\) | −19.5886 | − | 1.91741i | −1.15028 | − | 0.112594i | ||||
\(291\) | 0.871498 | − | 0.283167i | 0.0510881 | − | 0.0165995i | ||||
\(292\) | −1.61391 | − | 8.29005i | −0.0944470 | − | 0.485138i | ||||
\(293\) | −23.5633 | −1.37658 | −0.688291 | − | 0.725434i | \(-0.741639\pi\) | ||||
−0.688291 | + | 0.725434i | \(0.741639\pi\) | |||||||
\(294\) | 22.8960 | − | 9.95939i | 1.33532 | − | 0.580844i | ||||
\(295\) | 0.553423 | − | 2.82112i | 0.0322215 | − | 0.164252i | ||||
\(296\) | 5.63122 | + | 18.9804i | 0.327308 | + | 1.10322i | ||||
\(297\) | 28.4604 | − | 39.1724i | 1.65144 | − | 2.27301i | ||||
\(298\) | −3.18506 | − | 1.87552i | −0.184505 | − | 0.108646i | ||||
\(299\) | 1.98327i | 0.114696i | ||||||||
\(300\) | 28.5273 | − | 13.1929i | 1.64702 | − | 0.761691i | ||||
\(301\) | − | 3.48167i | − | 0.200680i | ||||||
\(302\) | −7.61927 | + | 12.9392i | −0.438440 | + | 0.744569i | ||||
\(303\) | 14.4869 | − | 19.9396i | 0.832252 | − | 1.14550i | ||||
\(304\) | −17.9799 | + | 1.26773i | −1.03122 | + | 0.0727094i | ||||
\(305\) | 25.3728 | − | 23.5788i | 1.45284 | − | 1.35012i | ||||
\(306\) | −21.6204 | − | 49.7038i | −1.23596 | − | 2.84138i | ||||
\(307\) | 29.1918 | 1.66607 | 0.833033 | − | 0.553223i | \(-0.186602\pi\) | ||||
0.833033 | + | 0.553223i | \(0.186602\pi\) | |||||||
\(308\) | −9.16902 | + | 1.78503i | −0.522453 | + | 0.101712i | ||||
\(309\) | −39.3617 | + | 12.7894i | −2.23921 | + | 0.727563i | ||||
\(310\) | 4.18315 | + | 1.82675i | 0.237587 | + | 0.103753i | ||||
\(311\) | 0.303724 | − | 0.934766i | 0.0172226 | − | 0.0530057i | −0.942076 | − | 0.335400i | \(-0.891129\pi\) |
0.959298 | + | 0.282394i | \(0.0911286\pi\) | |||||||
\(312\) | −2.69458 | + | 7.61977i | −0.152551 | + | 0.431385i | ||||
\(313\) | −9.11237 | + | 2.96079i | −0.515062 | + | 0.167354i | −0.555003 | − | 0.831848i | \(-0.687283\pi\) |
0.0399413 | + | 0.999202i | \(0.487283\pi\) | |||||||
\(314\) | 2.80117 | − | 4.75702i | 0.158079 | − | 0.268454i | ||||
\(315\) | −3.48163 | + | 17.7479i | −0.196168 | + | 0.999983i | ||||
\(316\) | 0.670866 | − | 5.47686i | 0.0377392 | − | 0.308098i | ||||
\(317\) | 14.8949 | − | 10.8218i | 0.836580 | − | 0.607811i | −0.0848334 | − | 0.996395i | \(-0.527036\pi\) |
0.921413 | + | 0.388584i | \(0.127036\pi\) | |||||||
\(318\) | 56.7034 | + | 12.5622i | 3.17977 | + | 0.704455i | ||||
\(319\) | 20.0003 | − | 14.5311i | 1.11980 | − | 0.813584i | ||||
\(320\) | −9.49249 | + | 15.1622i | −0.530646 | + | 0.847594i | ||||
\(321\) | −17.8171 | − | 12.9449i | −0.994453 | − | 0.722512i | ||||
\(322\) | −2.40415 | − | 2.71660i | −0.133978 | − | 0.151390i | ||||
\(323\) | −7.75880 | + | 23.8791i | −0.431711 | + | 1.32867i | ||||
\(324\) | 32.0494 | + | 14.9336i | 1.78052 | + | 0.829643i | ||||
\(325\) | −2.93396 | + | 3.47216i | −0.162747 | + | 0.192601i | ||||
\(326\) | −27.1031 | − | 6.00450i | −1.50110 | − | 0.332559i | ||||
\(327\) | −8.07726 | − | 2.62446i | −0.446673 | − | 0.145133i | ||||
\(328\) | 5.13037 | + | 17.2923i | 0.283277 | + | 0.954807i | ||||
\(329\) | 5.05833 | + | 3.67509i | 0.278875 | + | 0.202614i | ||||
\(330\) | −15.7989 | + | 36.1785i | −0.869701 | + | 1.99156i | ||||
\(331\) | 4.25106 | + | 5.85108i | 0.233659 | + | 0.321604i | 0.909705 | − | 0.415255i | \(-0.136308\pi\) |
−0.676046 | + | 0.736860i | \(0.736308\pi\) | |||||||
\(332\) | 17.1619 | + | 7.99669i | 0.941883 | + | 0.438876i | ||||
\(333\) | −38.9525 | + | 28.3007i | −2.13458 | + | 1.55087i | ||||
\(334\) | −23.7093 | + | 2.28641i | −1.29731 | + | 0.125107i | ||||
\(335\) | −0.815824 | − | 6.74046i | −0.0445733 | − | 0.368271i | ||||
\(336\) | −5.54586 | − | 13.7037i | −0.302551 | − | 0.747596i | ||||
\(337\) | −8.66935 | + | 2.81684i | −0.472250 | + | 0.153443i | −0.535466 | − | 0.844557i | \(-0.679864\pi\) |
0.0632165 | + | 0.998000i | \(0.479864\pi\) | |||||||
\(338\) | 1.65254 | + | 17.1363i | 0.0898865 | + | 0.932094i | ||||
\(339\) | −13.6625 | − | 4.43923i | −0.742047 | − | 0.241106i | ||||
\(340\) | 14.6178 | + | 20.1805i | 0.792760 | + | 1.09444i | ||||
\(341\) | −5.45277 | + | 1.77171i | −0.295284 | + | 0.0959436i | ||||
\(342\) | −17.4848 | − | 40.1965i | −0.945472 | − | 2.17358i | ||||
\(343\) | − | 14.8365i | − | 0.801096i | ||||||
\(344\) | 8.37189 | + | 0.215591i | 0.451382 | + | 0.0116239i | ||||
\(345\) | −15.2202 | + | 1.84216i | −0.819426 | + | 0.0991784i | ||||
\(346\) | 9.54241 | + | 10.7826i | 0.513003 | + | 0.579676i | ||||
\(347\) | −8.27687 | − | 6.01350i | −0.444326 | − | 0.322821i | 0.343026 | − | 0.939326i | \(-0.388548\pi\) |
−0.787351 | + | 0.616505i | \(0.788548\pi\) | |||||||
\(348\) | 28.6216 | + | 26.6746i | 1.53428 | + | 1.42991i | ||||
\(349\) | − | 4.76436i | − | 0.255030i | −0.991837 | − | 0.127515i | \(-0.959300\pi\) | ||
0.991837 | − | 0.127515i | \(-0.0407001\pi\) | |||||||
\(350\) | −0.190181 | − | 8.31260i | −0.0101656 | − | 0.444327i | ||||
\(351\) | −11.0829 | −0.591562 | ||||||||
\(352\) | −3.72445 | − | 22.1580i | −0.198514 | − | 1.18103i | ||||
\(353\) | −10.7305 | + | 14.7692i | −0.571126 | + | 0.786087i | −0.992687 | − | 0.120713i | \(-0.961482\pi\) |
0.421562 | + | 0.906800i | \(0.361482\pi\) | |||||||
\(354\) | −4.27956 | + | 3.78734i | −0.227456 | + | 0.201295i | ||||
\(355\) | 3.96608 | − | 1.84109i | 0.210498 | − | 0.0977149i | ||||
\(356\) | −5.12619 | + | 0.997969i | −0.271688 | + | 0.0528923i | ||||
\(357\) | −20.5930 | −1.08990 | ||||||||
\(358\) | 8.51923 | + | 19.5851i | 0.450255 | + | 1.03511i | ||||
\(359\) | 5.64467 | + | 17.3725i | 0.297914 | + | 0.916885i | 0.982227 | + | 0.187697i | \(0.0601022\pi\) |
−0.684313 | + | 0.729188i | \(0.739898\pi\) | |||||||
\(360\) | −42.4604 | − | 9.47078i | −2.23786 | − | 0.499154i | ||||
\(361\) | −0.403370 | + | 1.24145i | −0.0212300 | + | 0.0653393i | ||||
\(362\) | 26.6353 | − | 2.56857i | 1.39992 | − | 0.135001i | ||||
\(363\) | −4.63917 | − | 14.2779i | −0.243493 | − | 0.749396i | ||||
\(364\) | 1.56414 | + | 1.45774i | 0.0819834 | + | 0.0764065i | ||||
\(365\) | −6.91695 | + | 6.42789i | −0.362050 | + | 0.336451i | ||||
\(366\) | −68.5347 | + | 6.60914i | −3.58237 | + | 0.345466i | ||||
\(367\) | 8.85005 | + | 12.1811i | 0.461969 | + | 0.635846i | 0.974916 | − | 0.222575i | \(-0.0714461\pi\) |
−0.512947 | + | 0.858421i | \(0.671446\pi\) | |||||||
\(368\) | 6.68111 | − | 5.61270i | 0.348277 | − | 0.292582i | ||||
\(369\) | −35.4880 | + | 25.7835i | −1.84743 | + | 1.34224i | ||||
\(370\) | 14.6933 | − | 16.5550i | 0.763868 | − | 0.860652i | ||||
\(371\) | 9.03100 | − | 12.4301i | 0.468866 | − | 0.645339i | ||||
\(372\) | −4.40129 | − | 7.93472i | −0.228196 | − | 0.411396i | ||||
\(373\) | −0.219092 | + | 0.674295i | −0.0113441 | + | 0.0349137i | −0.956568 | − | 0.291508i | \(-0.905843\pi\) |
0.945224 | + | 0.326422i | \(0.105843\pi\) | |||||||
\(374\) | −30.5579 | − | 6.76988i | −1.58011 | − | 0.350062i | ||||
\(375\) | −29.3715 | − | 19.2909i | −1.51674 | − | 0.996176i | ||||
\(376\) | −9.15020 | + | 11.9355i | −0.471886 | + | 0.615526i | ||||
\(377\) | −5.38166 | − | 1.74861i | −0.277170 | − | 0.0900579i | ||||
\(378\) | 15.1809 | − | 13.4349i | 0.780822 | − | 0.691015i | ||||
\(379\) | 10.8210 | − | 14.8938i | 0.555838 | − | 0.765045i | −0.434952 | − | 0.900454i | \(-0.643235\pi\) |
0.990790 | + | 0.135408i | \(0.0432347\pi\) | |||||||
\(380\) | 11.8217 | + | 16.3204i | 0.606439 | + | 0.837217i | ||||
\(381\) | 15.9437 | + | 21.9446i | 0.816821 | + | 1.12426i | ||||
\(382\) | 3.09416 | + | 0.685490i | 0.158311 | + | 0.0350727i | ||||
\(383\) | −10.5490 | − | 14.5194i | −0.539027 | − | 0.741907i | 0.449445 | − | 0.893308i | \(-0.351622\pi\) |
−0.988472 | + | 0.151401i | \(0.951622\pi\) | |||||||
\(384\) | 33.2947 | − | 12.4868i | 1.69906 | − | 0.637214i | ||||
\(385\) | 7.10942 | + | 7.65034i | 0.362330 | + | 0.389897i | ||||
\(386\) | 27.6571 | + | 16.2859i | 1.40771 | + | 0.828929i | ||||
\(387\) | 6.29365 | + | 19.3699i | 0.319924 | + | 0.984625i | ||||
\(388\) | 0.578774 | + | 0.0708946i | 0.0293828 | + | 0.00359913i | ||||
\(389\) | 22.7077 | + | 7.37819i | 1.15133 | + | 0.374089i | 0.821643 | − | 0.570002i | \(-0.193058\pi\) |
0.329685 | + | 0.944091i | \(0.393058\pi\) | |||||||
\(390\) | 8.82504 | − | 1.94184i | 0.446873 | − | 0.0983288i | ||||
\(391\) | −3.75608 | − | 11.5600i | −0.189953 | − | 0.584616i | ||||
\(392\) | 15.8828 | + | 0.409011i | 0.802204 | + | 0.0206582i | ||||
\(393\) | 27.3377i | 1.37900i | ||||||||
\(394\) | 16.8362 | − | 7.32350i | 0.848198 | − | 0.368953i | ||||
\(395\) | −5.59558 | + | 2.59752i | −0.281544 | + | 0.130695i | ||||
\(396\) | 47.7840 | − | 26.5052i | 2.40124 | − | 1.33194i | ||||
\(397\) | 1.16804 | + | 0.848630i | 0.0586222 | + | 0.0425915i | 0.616710 | − | 0.787190i | \(-0.288465\pi\) |
−0.558088 | + | 0.829782i | \(0.688465\pi\) | |||||||
\(398\) | 13.0721 | − | 22.1994i | 0.655246 | − | 1.11275i | ||||
\(399\) | −16.6539 | −0.833740 | ||||||||
\(400\) | 19.9999 | + | 0.0574285i | 0.999996 | + | 0.00287143i | ||||
\(401\) | −26.0682 | −1.30178 | −0.650891 | − | 0.759171i | \(-0.725605\pi\) | ||||
−0.650891 | + | 0.759171i | \(0.725605\pi\) | |||||||
\(402\) | −6.84836 | + | 11.6300i | −0.341565 | + | 0.580054i | ||||
\(403\) | 1.06170 | + | 0.771367i | 0.0528868 | + | 0.0384245i | ||||
\(404\) | 13.7148 | − | 7.60744i | 0.682338 | − | 0.378484i | ||||
\(405\) | −4.74996 | − | 39.2448i | −0.236027 | − | 1.95009i | ||||
\(406\) | 9.49126 | − | 4.12855i | 0.471043 | − | 0.204897i | ||||
\(407\) | 27.8026i | 1.37813i | ||||||||
\(408\) | 1.27515 | − | 49.5171i | 0.0631294 | − | 2.45146i | ||||
\(409\) | 0.312601 | + | 0.962088i | 0.0154571 | + | 0.0475722i | 0.958488 | − | 0.285134i | \(-0.0920382\pi\) |
−0.943030 | + | 0.332706i | \(0.892038\pi\) | |||||||
\(410\) | 13.3865 | − | 15.0825i | 0.661110 | − | 0.744873i | ||||
\(411\) | −10.8918 | − | 3.53897i | −0.537254 | − | 0.174564i | ||||
\(412\) | −26.1407 | − | 3.20200i | −1.28786 | − | 0.157751i | ||||
\(413\) | 0.467180 | + | 1.43783i | 0.0229884 | + | 0.0707512i | ||||
\(414\) | 18.2859 | + | 10.7676i | 0.898701 | + | 0.529200i | ||||
\(415\) | −2.54353 | − | 21.0150i | −0.124857 | − | 1.03158i | ||||
\(416\) | −3.60208 | + | 3.67081i | −0.176607 | + | 0.179976i | ||||
\(417\) | 25.8025 | + | 35.5140i | 1.26355 | + | 1.73913i | ||||
\(418\) | −24.7127 | − | 5.47494i | −1.20874 | − | 0.267788i | ||||
\(419\) | −19.6696 | − | 27.0728i | −0.960920 | − | 1.32259i | −0.946502 | − | 0.322697i | \(-0.895410\pi\) |
−0.0144183 | − | 0.999896i | \(-0.504590\pi\) | |||||||
\(420\) | −9.73425 | + | 13.3577i | −0.474983 | + | 0.651788i | ||||
\(421\) | −16.1696 | + | 22.2556i | −0.788060 | + | 1.08467i | 0.206287 | + | 0.978492i | \(0.433862\pi\) |
−0.994347 | + | 0.106180i | \(0.966138\pi\) | |||||||
\(422\) | 1.86076 | − | 1.64674i | 0.0905803 | − | 0.0801620i | ||||
\(423\) | −34.7847 | − | 11.3022i | −1.69129 | − | 0.549533i | ||||
\(424\) | 29.3297 | + | 22.4853i | 1.42438 | + | 1.09198i | ||||
\(425\) | 10.5255 | − | 25.7949i | 0.510562 | − | 1.25124i | ||||
\(426\) | −8.48612 | − | 1.88004i | −0.411154 | − | 0.0910883i | ||||
\(427\) | −5.62868 | + | 17.3233i | −0.272391 | + | 0.838333i | ||||
\(428\) | −6.79767 | − | 12.2550i | −0.328578 | − | 0.592366i | ||||
\(429\) | −6.67126 | + | 9.18220i | −0.322092 | + | 0.443321i | ||||
\(430\) | −4.73941 | − | 8.07507i | −0.228555 | − | 0.389415i | ||||
\(431\) | 21.6348 | − | 15.7186i | 1.04211 | − | 0.757138i | 0.0714143 | − | 0.997447i | \(-0.477249\pi\) |
0.970696 | + | 0.240309i | \(0.0772488\pi\) | |||||||
\(432\) | 31.3649 | + | 37.3354i | 1.50904 | + | 1.79630i | ||||
\(433\) | −12.1996 | − | 16.7912i | −0.586273 | − | 0.806936i | 0.408092 | − | 0.912941i | \(-0.366194\pi\) |
−0.994366 | + | 0.106005i | \(0.966194\pi\) | |||||||
\(434\) | −2.38933 | + | 0.230415i | −0.114691 | + | 0.0110603i | ||||
\(435\) | 8.42055 | − | 42.9245i | 0.403734 | − | 2.05807i | ||||
\(436\) | −3.95353 | − | 3.68459i | −0.189340 | − | 0.176460i | ||||
\(437\) | −3.03762 | − | 9.34882i | −0.145309 | − | 0.447215i | ||||
\(438\) | 18.6834 | − | 1.80174i | 0.892729 | − | 0.0860903i | ||||
\(439\) | 0.0935999 | − | 0.288071i | 0.00446728 | − | 0.0137489i | −0.948798 | − | 0.315883i | \(-0.897699\pi\) |
0.953265 | + | 0.302134i | \(0.0976992\pi\) | |||||||
\(440\) | −18.8359 | + | 16.6213i | −0.897968 | + | 0.792390i | ||||
\(441\) | 11.9401 | + | 36.7478i | 0.568575 | + | 1.74989i | ||||
\(442\) | 2.85761 | + | 6.56946i | 0.135923 | + | 0.312477i | ||||
\(443\) | −33.9046 | −1.61086 | −0.805428 | − | 0.592693i | \(-0.798065\pi\) | ||||
−0.805428 | + | 0.592693i | \(0.798065\pi\) | |||||||
\(444\) | −43.1896 | + | 8.40817i | −2.04969 | + | 0.399034i | ||||
\(445\) | 3.97472 | + | 4.27713i | 0.188420 | + | 0.202755i | ||||
\(446\) | 1.65062 | − | 1.46077i | 0.0781591 | − | 0.0691694i | ||||
\(447\) | 4.82848 | − | 6.64583i | 0.228379 | − | 0.314337i | ||||
\(448\) | 0.484177 | − | 9.39462i | 0.0228752 | − | 0.443854i | ||||
\(449\) | −12.6049 | −0.594860 | −0.297430 | − | 0.954744i | \(-0.596129\pi\) | ||||
−0.297430 | + | 0.954744i | \(0.596129\pi\) | |||||||
\(450\) | 16.0843 | + | 45.9023i | 0.758222 | + | 2.16386i | ||||
\(451\) | 25.3298i | 1.19273i | ||||||||
\(452\) | −6.68733 | − | 6.23242i | −0.314545 | − | 0.293148i | ||||
\(453\) | −26.9986 | − | 19.6156i | −1.26850 | − | 0.921621i | ||||
\(454\) | −8.64339 | − | 9.76672i | −0.405654 | − | 0.458375i | ||||
\(455\) | 0.460174 | − | 2.34578i | 0.0215733 | − | 0.109972i | ||||
\(456\) | 1.03124 | − | 40.0454i | 0.0482923 | − | 1.87530i | ||||
\(457\) | − | 2.58934i | − | 0.121124i | −0.998164 | − | 0.0605622i | \(-0.980711\pi\) | ||
0.998164 | − | 0.0605622i | \(-0.0192893\pi\) | |||||||
\(458\) | 6.37322 | + | 14.6516i | 0.297801 | + | 0.684624i | ||||
\(459\) | 64.5997 | − | 20.9897i | 3.01526 | − | 0.979716i | ||||
\(460\) | −9.27392 | − | 3.02801i | −0.432399 | − | 0.141182i | ||||
\(461\) | 6.49523 | + | 2.11043i | 0.302513 | + | 0.0982925i | 0.456340 | − | 0.889805i | \(-0.349160\pi\) |
−0.153827 | + | 0.988098i | \(0.549160\pi\) | |||||||
\(462\) | −1.99277 | − | 20.6644i | −0.0927121 | − | 0.961394i | ||||
\(463\) | 20.7530 | − | 6.74304i | 0.964472 | − | 0.313376i | 0.215889 | − | 0.976418i | \(-0.430735\pi\) |
0.748582 | + | 0.663042i | \(0.230735\pi\) | |||||||
\(464\) | 9.33964 | + | 23.0780i | 0.433582 | + | 1.07137i | ||||
\(465\) | −4.93352 | + | 8.86421i | −0.228787 | + | 0.411068i | ||||
\(466\) | 17.4990 | − | 1.68752i | 0.810628 | − | 0.0781729i | ||||
\(467\) | 2.43118 | − | 1.76636i | 0.112502 | − | 0.0817373i | −0.530112 | − | 0.847928i | \(-0.677850\pi\) |
0.642614 | + | 0.766190i | \(0.277850\pi\) | |||||||
\(468\) | −11.3370 | − | 5.28254i | −0.524054 | − | 0.244186i | ||||
\(469\) | 2.09868 | + | 2.88859i | 0.0969081 | + | 0.133383i | ||||
\(470\) | 16.7345 | + | 1.63805i | 0.771906 | + | 0.0755575i | ||||
\(471\) | 9.92583 | + | 7.21154i | 0.457358 | + | 0.332290i | ||||
\(472\) | −3.48629 | + | 1.03433i | −0.160469 | + | 0.0476089i | ||||
\(473\) | 11.1850 | + | 3.63421i | 0.514285 | + | 0.167101i | ||||
\(474\) | 11.9727 | + | 2.65247i | 0.549926 | + | 0.121832i | ||||
\(475\) | 8.51217 | − | 20.8609i | 0.390565 | − | 0.957163i | ||||
\(476\) | −11.8778 | − | 5.53453i | −0.544419 | − | 0.253675i | ||||
\(477\) | −27.7736 | + | 85.4782i | −1.27166 | + | 3.91378i | ||||
\(478\) | −25.9005 | − | 29.2667i | −1.18466 | − | 1.33863i | ||||
\(479\) | 15.3717 | + | 11.1682i | 0.702349 | + | 0.510287i | 0.880697 | − | 0.473681i | \(-0.157075\pi\) |
−0.178347 | + | 0.983968i | \(0.557075\pi\) | |||||||
\(480\) | −31.5166 | − | 24.2337i | −1.43853 | − | 1.10611i | ||||
\(481\) | 5.14843 | − | 3.74055i | 0.234748 | − | 0.170555i | ||||
\(482\) | 5.91444 | + | 1.31030i | 0.269395 | + | 0.0596827i | ||||
\(483\) | 6.52251 | − | 4.73888i | 0.296785 | − | 0.215627i | ||||
\(484\) | 1.16148 | − | 9.48216i | 0.0527945 | − | 0.431007i | ||||
\(485\) | −0.274496 | − | 0.591320i | −0.0124642 | − | 0.0268504i | ||||
\(486\) | −13.6299 | + | 23.1466i | −0.618265 | + | 1.04995i | ||||
\(487\) | −1.80539 | + | 0.586607i | −0.0818101 | + | 0.0265817i | −0.349636 | − | 0.936886i | \(-0.613695\pi\) |
0.267826 | + | 0.963467i | \(0.413695\pi\) | |||||||
\(488\) | −41.3064 | − | 14.6072i | −1.86985 | − | 0.661236i | ||||
\(489\) | 19.0651 | − | 58.6762i | 0.862151 | − | 2.65343i | ||||
\(490\) | −8.99143 | − | 15.3197i | −0.406191 | − | 0.692075i | ||||
\(491\) | 29.3750 | − | 9.54451i | 1.32567 | − | 0.430738i | 0.441234 | − | 0.897392i | \(-0.354541\pi\) |
0.884440 | + | 0.466654i | \(0.154541\pi\) | |||||||
\(492\) | −39.3482 | + | 7.66034i | −1.77396 | + | 0.345355i | ||||
\(493\) | 34.6801 | 1.56191 | ||||||||
\(494\) | 2.31101 | + | 5.31285i | 0.103977 | + | 0.239036i | ||||
\(495\) | −53.3816 | − | 29.7104i | −2.39932 | − | 1.33538i | ||||
\(496\) | −0.406095 | − | 5.75955i | −0.0182342 | − | 0.258611i | ||||
\(497\) | −1.35156 | + | 1.86027i | −0.0606258 | + | 0.0834443i | ||||
\(498\) | −21.3514 | + | 36.2594i | −0.956778 | + | 1.62482i | ||||
\(499\) | − | 10.5948i | − | 0.474289i | −0.971474 | − | 0.237145i | \(-0.923788\pi\) | ||
0.971474 | − | 0.237145i | \(-0.0762115\pi\) | |||||||
\(500\) | −11.7566 | − | 19.0206i | −0.525770 | − | 0.850627i | ||||
\(501\) | − | 52.9371i | − | 2.36506i | ||||||
\(502\) | −16.3297 | − | 9.61572i | −0.728828 | − | 0.429171i | ||||
\(503\) | 15.5618 | − | 21.4189i | 0.693865 | − | 0.955024i | −0.306130 | − | 0.951990i | \(-0.599034\pi\) |
0.999995 | − | 0.00303389i | \(-0.000965720\pi\) | |||||||
\(504\) | 21.9325 | − | 6.50707i | 0.976953 | − | 0.289848i | ||||
\(505\) | −15.3214 | − | 8.52739i | −0.681794 | − | 0.379464i | ||||
\(506\) | 11.2366 | − | 4.88776i | 0.499529 | − | 0.217288i | ||||
\(507\) | −38.2613 | −1.69925 | ||||||||
\(508\) | 3.29836 | + | 16.9424i | 0.146341 | + | 0.751699i | ||||
\(509\) | 17.5095 | − | 5.68919i | 0.776096 | − | 0.252169i | 0.105923 | − | 0.994374i | \(-0.466220\pi\) |
0.670172 | + | 0.742205i | \(0.266220\pi\) | |||||||
\(510\) | −47.7615 | + | 28.0321i | −2.11491 | + | 1.24128i | ||||
\(511\) | 1.53445 | − | 4.72255i | 0.0678800 | − | 0.208913i | ||||
\(512\) | 22.5600 | + | 1.74596i | 0.997019 | + | 0.0771615i | ||||
\(513\) | 52.2431 | − | 16.9748i | 2.30659 | − | 0.749456i | ||||
\(514\) | −9.52847 | − | 5.61084i | −0.420283 | − | 0.247484i | ||||
\(515\) | 12.3978 | + | 26.7073i | 0.546311 | + | 1.17686i | ||||
\(516\) | −2.26292 | + | 18.4742i | −0.0996196 | + | 0.813281i | ||||
\(517\) | −17.0863 | + | 12.4139i | −0.751453 | + | 0.545963i | ||||
\(518\) | −2.51776 | + | 11.3646i | −0.110624 | + | 0.499334i | ||||
\(519\) | −25.8888 | + | 18.8093i | −1.13639 | + | 0.825637i | ||||
\(520\) | 5.61208 | + | 1.25177i | 0.246106 | + | 0.0548938i | ||||
\(521\) | 32.7039 | + | 23.7608i | 1.43278 | + | 1.04098i | 0.989490 | + | 0.144603i | \(0.0461906\pi\) |
0.443295 | + | 0.896376i | \(0.353809\pi\) | |||||||
\(522\) | −45.3405 | + | 40.1256i | −1.98450 | + | 1.75625i | ||||
\(523\) | −5.37852 | + | 16.5534i | −0.235186 | + | 0.723828i | 0.761911 | + | 0.647682i | \(0.224262\pi\) |
−0.997097 | + | 0.0761461i | \(0.975738\pi\) | |||||||
\(524\) | −7.34723 | + | 15.7681i | −0.320965 | + | 0.688832i | ||||
\(525\) | 18.4296 | + | 1.35263i | 0.804333 | + | 0.0590336i | ||||
\(526\) | 8.39400 | − | 37.8888i | 0.365996 | − | 1.65203i | ||||
\(527\) | −7.64925 | − | 2.48539i | −0.333206 | − | 0.108265i | ||||
\(528\) | 49.8122 | − | 3.51216i | 2.16780 | − | 0.152847i | ||||
\(529\) | −14.7575 | − | 10.7220i | −0.641630 | − | 0.466172i | ||||
\(530\) | 4.02526 | − | 41.1227i | 0.174846 | − | 1.78625i | ||||
\(531\) | −5.19820 | − | 7.15471i | −0.225583 | − | 0.310488i | ||||
\(532\) | −9.60582 | − | 4.47589i | −0.416465 | − | 0.194054i | ||||
\(533\) | 4.69052 | − | 3.40786i | 0.203169 | − | 0.147611i | ||||
\(534\) | −1.11411 | − | 11.5530i | −0.0482124 | − | 0.499947i | ||||
\(535\) | −7.61969 | + | 13.6905i | −0.329428 | + | 0.591893i | ||||
\(536\) | −7.07573 | + | 4.86754i | −0.305625 | + | 0.210246i | ||||
\(537\) | −45.1434 | + | 14.6680i | −1.94808 | + | 0.632970i | ||||
\(538\) | −30.0340 | + | 2.89633i | −1.29486 | + | 0.124870i | ||||
\(539\) | 21.2197 | + | 6.89469i | 0.913996 | + | 0.296975i | ||||
\(540\) | 16.9211 | − | 51.8245i | 0.728169 | − | 2.23017i | ||||
\(541\) | −7.69917 | + | 2.50161i | −0.331013 | + | 0.107553i | −0.469808 | − | 0.882768i | \(-0.655677\pi\) |
0.138795 | + | 0.990321i | \(0.455677\pi\) | |||||||
\(542\) | −1.38556 | + | 0.602695i | −0.0595147 | + | 0.0258880i | ||||
\(543\) | 59.4701i | 2.55211i | ||||||||
\(544\) | 14.0436 | − | 28.2182i | 0.602115 | − | 1.20985i | ||||
\(545\) | −1.16314 | + | 5.92920i | −0.0498233 | + | 0.253979i | ||||
\(546\) | −3.55848 | + | 3.14920i | −0.152289 | + | 0.134773i | ||||
\(547\) | 20.7126 | + | 15.0486i | 0.885607 | + | 0.643431i | 0.934729 | − | 0.355362i | \(-0.115642\pi\) |
−0.0491221 | + | 0.998793i | \(0.515642\pi\) | |||||||
\(548\) | −5.33117 | − | 4.96851i | −0.227736 | − | 0.212244i | ||||
\(549\) | − | 106.551i | − | 4.54747i | ||||||
\(550\) | 26.9029 | + | 8.06583i | 1.14715 | + | 0.343928i | ||||
\(551\) | 28.0465 | 1.19482 | ||||||||
\(552\) | 10.9911 | + | 15.9772i | 0.467810 | + | 0.680036i | ||||
\(553\) | 1.90686 | − | 2.62457i | 0.0810881 | − | 0.111608i | ||||
\(554\) | 16.6389 | + | 18.8014i | 0.706921 | + | 0.798796i | ||||
\(555\) | 33.4881 | + | 36.0360i | 1.42149 | + | 1.52964i | ||||
\(556\) | 5.33790 | + | 27.4188i | 0.226377 | + | 1.16281i | ||||
\(557\) | −1.74254 | −0.0738336 | −0.0369168 | − | 0.999318i | \(-0.511754\pi\) | ||||
−0.0369168 | + | 0.999318i | \(0.511754\pi\) | |||||||
\(558\) | 12.8762 | − | 5.60095i | 0.545094 | − | 0.237107i | ||||
\(559\) | −0.831844 | − | 2.56015i | −0.0351832 | − | 0.108283i | ||||
\(560\) | −9.20461 | + | 5.08841i | −0.388966 | + | 0.215025i | ||||
\(561\) | 21.4952 | − | 66.1555i | 0.907529 | − | 2.79309i | ||||
\(562\) | −1.47303 | − | 15.2748i | −0.0621359 | − | 0.644329i | ||||
\(563\) | −7.94233 | − | 24.4440i | −0.334729 | − | 1.03019i | −0.966855 | − | 0.255325i | \(-0.917817\pi\) |
0.632126 | − | 0.774866i | \(-0.282183\pi\) | |||||||
\(564\) | −24.4515 | − | 22.7882i | −1.02959 | − | 0.959555i | ||||
\(565\) | −1.96742 | + | 10.0291i | −0.0827702 | + | 0.421929i | ||||
\(566\) | 3.15288 | + | 32.6943i | 0.132525 | + | 1.37425i | ||||
\(567\) | 12.2191 | + | 16.8181i | 0.513154 | + | 0.706296i | ||||
\(568\) | −4.38943 | − | 3.36510i | −0.184176 | − | 0.141197i | ||||
\(569\) | −11.5604 | + | 8.39915i | −0.484639 | + | 0.352111i | −0.803119 | − | 0.595819i | \(-0.796828\pi\) |
0.318480 | + | 0.947930i | \(0.396828\pi\) | |||||||
\(570\) | −38.6257 | + | 22.6701i | −1.61785 | + | 0.949546i | ||||
\(571\) | 11.7151 | − | 16.1245i | 0.490263 | − | 0.674789i | −0.490174 | − | 0.871625i | \(-0.663067\pi\) |
0.980436 | + | 0.196836i | \(0.0630666\pi\) | |||||||
\(572\) | −6.31571 | + | 3.50324i | −0.264073 | + | 0.146478i | ||||
\(573\) | −2.17652 | + | 6.69863i | −0.0909253 | + | 0.279839i | ||||
\(574\) | −2.29382 | + | 10.3539i | −0.0957424 | + | 0.432162i | ||||
\(575\) | 2.60218 | + | 10.5923i | 0.108518 | + | 0.441729i | ||||
\(576\) | 14.2885 | + | 53.1410i | 0.595356 | + | 2.21421i | ||||
\(577\) | 14.6528 | + | 4.76100i | 0.610006 | + | 0.198203i | 0.597698 | − | 0.801721i | \(-0.296082\pi\) |
0.0123079 | + | 0.999924i | \(0.496082\pi\) | |||||||
\(578\) | −13.1650 | − | 14.8760i | −0.547593 | − | 0.618761i | ||||
\(579\) | −41.9275 | + | 57.7083i | −1.74245 | + | 2.39827i | ||||
\(580\) | 16.3932 | − | 22.4953i | 0.680691 | − | 0.934067i | ||||
\(581\) | 6.54313 | + | 9.00585i | 0.271455 | + | 0.373626i | ||||
\(582\) | −0.280303 | + | 1.26523i | −0.0116189 | + | 0.0524456i | ||||
\(583\) | 30.5054 | + | 41.9870i | 1.26340 | + | 1.73892i | ||||
\(584\) | 11.2606 | + | 3.98210i | 0.465969 | + | 0.164781i | ||||
\(585\) | 1.68023 | + | 13.8823i | 0.0694690 | + | 0.573963i | ||||
\(586\) | 16.9088 | − | 28.7150i | 0.698497 | − | 1.18620i | ||||
\(587\) | −4.25364 | − | 13.0914i | −0.175567 | − | 0.540338i | 0.824092 | − | 0.566455i | \(-0.191686\pi\) |
−0.999659 | + | 0.0261173i | \(0.991686\pi\) | |||||||
\(588\) | −4.29313 | + | 35.0485i | −0.177046 | + | 1.44538i | ||||
\(589\) | −6.18610 | − | 2.00998i | −0.254894 | − | 0.0828200i | ||||
\(590\) | 3.04078 | + | 2.69883i | 0.125187 | + | 0.111109i | ||||
\(591\) | 12.6092 | + | 38.8072i | 0.518675 | + | 1.59632i | ||||
\(592\) | −27.1711 | − | 6.75782i | −1.11672 | − | 0.277745i | ||||
\(593\) | − | 6.37493i | − | 0.261787i | −0.991396 | − | 0.130894i | \(-0.958215\pi\) | ||
0.991396 | − | 0.130894i | \(-0.0417846\pi\) | |||||||
\(594\) | 27.3138 | + | 62.7926i | 1.12070 | + | 2.57641i | ||||
\(595\) | 1.76038 | + | 14.5445i | 0.0721686 | + | 0.596267i | ||||
\(596\) | 4.57114 | − | 2.53555i | 0.187241 | − | 0.103860i | ||||
\(597\) | 46.3205 | + | 33.6538i | 1.89577 | + | 1.37736i | ||||
\(598\) | −2.41688 | − | 1.42318i | −0.0988335 | − | 0.0581981i | ||||
\(599\) | 38.8351 | 1.58676 | 0.793380 | − | 0.608727i | \(-0.208319\pi\) | ||||
0.793380 | + | 0.608727i | \(0.208319\pi\) | |||||||
\(600\) | −4.39367 | + | 44.2313i | −0.179371 | + | 1.80574i | ||||
\(601\) | 41.0478 | 1.67438 | 0.837188 | − | 0.546916i | \(-0.184198\pi\) | ||||
0.837188 | + | 0.546916i | \(0.184198\pi\) | |||||||
\(602\) | 4.24287 | + | 2.49842i | 0.172927 | + | 0.101828i | ||||
\(603\) | −16.8973 | − | 12.2766i | −0.688112 | − | 0.499942i | ||||
\(604\) | −10.3006 | − | 18.5702i | −0.419127 | − | 0.755609i | ||||
\(605\) | −9.68770 | + | 4.49712i | −0.393861 | + | 0.182834i | ||||
\(606\) | 13.9033 | + | 31.9627i | 0.564782 | + | 1.29840i | ||||
\(607\) | − | 28.6948i | − | 1.16469i | −0.812943 | − | 0.582343i | \(-0.802136\pi\) | ||
0.812943 | − | 0.582343i | \(-0.197864\pi\) | |||||||
\(608\) | 11.3574 | − | 22.8206i | 0.460601 | − | 0.925499i | ||||
\(609\) | 7.10833 | + | 21.8772i | 0.288044 | + | 0.886509i | ||||
\(610\) | 10.5266 | + | 47.8401i | 0.426210 | + | 1.93699i | ||||
\(611\) | 4.59756 | + | 1.49384i | 0.185997 | + | 0.0604342i | ||||
\(612\) | 76.0853 | + | 9.31976i | 3.07557 | + | 0.376729i | ||||
\(613\) | −2.30831 | − | 7.10423i | −0.0932316 | − | 0.286937i | 0.893557 | − | 0.448949i | \(-0.148202\pi\) |
−0.986789 | + | 0.162012i | \(0.948202\pi\) | |||||||
\(614\) | −20.9478 | + | 35.5741i | −0.845385 | + | 1.43565i | ||||
\(615\) | 30.5096 | + | 32.8309i | 1.23027 | + | 1.32387i | ||||
\(616\) | 4.40432 | − | 12.4546i | 0.177455 | − | 0.501809i | ||||
\(617\) | −23.8187 | − | 32.7837i | −0.958906 | − | 1.31982i | −0.947456 | − | 0.319886i | \(-0.896355\pi\) |
−0.0114498 | − | 0.999934i | \(-0.503645\pi\) | |||||||
\(618\) | 12.6601 | − | 57.1450i | 0.509263 | − | 2.29871i | ||||
\(619\) | −5.89273 | − | 8.11065i | −0.236849 | − | 0.325994i | 0.674003 | − | 0.738729i | \(-0.264574\pi\) |
−0.910851 | + | 0.412735i | \(0.864574\pi\) | |||||||
\(620\) | −5.22794 | + | 3.78686i | −0.209959 | + | 0.152084i | ||||
\(621\) | −15.6308 | + | 21.5140i | −0.627242 | + | 0.863325i | ||||
\(622\) | 0.921185 | + | 1.04091i | 0.0369362 | + | 0.0417366i | ||||
\(623\) | −2.92021 | − | 0.948834i | −0.116996 | − | 0.0380142i | ||||
\(624\) | −7.35208 | − | 8.75159i | −0.294319 | − | 0.350344i | ||||
\(625\) | −11.1141 | + | 22.3937i | −0.444562 | + | 0.895748i | ||||
\(626\) | 2.93085 | − | 13.2293i | 0.117140 | − | 0.528748i | ||||
\(627\) | 17.3836 | − | 53.5012i | 0.694234 | − | 2.13663i | ||||
\(628\) | 3.78696 | + | 6.82719i | 0.151116 | + | 0.272435i | ||||
\(629\) | −22.9248 | + | 31.5533i | −0.914073 | + | 1.25811i | ||||
\(630\) | −19.1298 | − | 16.9786i | −0.762150 | − | 0.676444i | ||||
\(631\) | −24.4964 | + | 17.7976i | −0.975184 | + | 0.708513i | −0.956627 | − | 0.291315i | \(-0.905907\pi\) |
−0.0185571 | + | 0.999828i | \(0.505907\pi\) | |||||||
\(632\) | 6.19287 | + | 4.74769i | 0.246339 | + | 0.188853i | ||||
\(633\) | 3.24593 | + | 4.46765i | 0.129014 | + | 0.177573i | ||||
\(634\) | 2.49930 | + | 25.9170i | 0.0992600 | + | 1.02929i | ||||
\(635\) | 14.1362 | − | 13.1367i | 0.560979 | − | 0.521316i | ||||
\(636\) | −55.9986 | + | 60.0860i | −2.22049 | + | 2.38256i | ||||
\(637\) | −1.57814 | − | 4.85702i | −0.0625283 | − | 0.192442i | ||||
\(638\) | 3.35597 | + | 34.8004i | 0.132864 | + | 1.37776i | ||||
\(639\) | 4.15654 | − | 12.7925i | 0.164430 | − | 0.506064i | ||||
\(640\) | −11.6654 | − | 22.4481i | −0.461116 | − | 0.887340i | ||||
\(641\) | −12.1688 | − | 37.4516i | −0.480637 | − | 1.47925i | −0.838201 | − | 0.545361i | \(-0.816393\pi\) |
0.357564 | − | 0.933889i | \(-0.383607\pi\) | |||||||
\(642\) | 28.5604 | − | 12.4233i | 1.12719 | − | 0.490310i | ||||
\(643\) | −15.6623 | −0.617660 | −0.308830 | − | 0.951117i | \(-0.599937\pi\) | ||||
−0.308830 | + | 0.951117i | \(0.599937\pi\) | |||||||
\(644\) | 5.03573 | − | 0.980359i | 0.198436 | − | 0.0386316i | ||||
\(645\) | 18.8746 | − | 8.76178i | 0.743188 | − | 0.344995i | ||||
\(646\) | −23.5322 | − | 26.5906i | −0.925862 | − | 1.04619i | ||||
\(647\) | 19.5134 | − | 26.8579i | 0.767152 | − | 1.05589i | −0.229434 | − | 0.973324i | \(-0.573687\pi\) |
0.996585 | − | 0.0825693i | \(-0.0263126\pi\) | |||||||
\(648\) | −41.1969 | + | 28.3402i | −1.61837 | + | 1.11331i | ||||
\(649\) | −5.10673 | −0.200457 | ||||||||
\(650\) | −2.12590 | − | 6.06700i | −0.0833845 | − | 0.237967i | ||||
\(651\) | − | 5.33479i | − | 0.209087i | ||||||
\(652\) | 26.7662 | − | 28.7199i | 1.04825 | − | 1.12476i | ||||
\(653\) | 3.13976 | + | 2.28117i | 0.122868 | + | 0.0892690i | 0.647522 | − | 0.762047i | \(-0.275805\pi\) |
−0.524654 | + | 0.851316i | \(0.675805\pi\) | |||||||
\(654\) | 8.99442 | − | 7.95991i | 0.351710 | − | 0.311257i | ||||
\(655\) | 19.3082 | − | 2.33695i | 0.754434 | − | 0.0913121i | ||||
\(656\) | −24.7544 | − | 6.15677i | −0.966499 | − | 0.240381i | ||||
\(657\) | 29.0471i | 1.13323i | ||||||||
\(658\) | −8.10839 | + | 3.52702i | −0.316098 | + | 0.137498i | ||||
\(659\) | −38.7539 | + | 12.5919i | −1.50964 | + | 0.490511i | −0.942811 | − | 0.333327i | \(-0.891829\pi\) |
−0.566826 | + | 0.823838i | \(0.691829\pi\) | |||||||
\(660\) | −32.7511 | − | 45.2145i | −1.27484 | − | 1.75997i | ||||
\(661\) | −35.9253 | − | 11.6728i | −1.39733 | − | 0.454020i | −0.489004 | − | 0.872282i | \(-0.662640\pi\) |
−0.908327 | + | 0.418261i | \(0.862640\pi\) | |||||||
\(662\) | −10.1808 | + | 0.981789i | −0.395689 | + | 0.0381583i | ||||
\(663\) | −15.1425 | + | 4.92009i | −0.588085 | + | 0.191081i | ||||
\(664\) | −22.0603 | + | 15.1757i | −0.856105 | + | 0.588931i | ||||
\(665\) | 1.42365 | + | 11.7624i | 0.0552070 | + | 0.456128i | ||||
\(666\) | −6.53608 | − | 67.7771i | −0.253268 | − | 2.62631i | ||||
\(667\) | −10.9844 | + | 7.98063i | −0.425318 | + | 0.309011i | ||||
\(668\) | 14.2273 | − | 30.5336i | 0.550471 | − | 1.18138i | ||||
\(669\) | 2.87936 | + | 3.96311i | 0.111323 | + | 0.153223i | ||||
\(670\) | 8.79956 | + | 3.84271i | 0.339957 | + | 0.148457i | ||||
\(671\) | −49.7762 | − | 36.1645i | −1.92159 | − | 1.39612i | ||||
\(672\) | 20.6794 | + | 3.07527i | 0.797724 | + | 0.118631i | ||||
\(673\) | 1.57662 | + | 0.512274i | 0.0607742 | + | 0.0197467i | 0.339246 | − | 0.940698i | \(-0.389828\pi\) |
−0.278472 | + | 0.960444i | \(0.589828\pi\) | |||||||
\(674\) | 2.78836 | − | 12.5861i | 0.107404 | − | 0.484798i | ||||
\(675\) | −59.1919 | + | 14.5415i | −2.27830 | + | 0.559702i | ||||
\(676\) | −22.0687 | − | 10.2831i | −0.848798 | − | 0.395502i | ||||
\(677\) | 0.0701106 | − | 0.215778i | 0.00269457 | − | 0.00829304i | −0.949700 | − | 0.313161i | \(-0.898612\pi\) |
0.952395 | + | 0.304868i | \(0.0986122\pi\) | |||||||
\(678\) | 15.2139 | − | 13.4640i | 0.584286 | − | 0.517083i | ||||
\(679\) | 0.277355 | + | 0.201510i | 0.0106439 | + | 0.00773325i | ||||
\(680\) | −35.0822 | + | 3.33232i | −1.34534 | + | 0.127789i | ||||
\(681\) | 23.4497 | − | 17.0372i | 0.898596 | − | 0.652868i | ||||
\(682\) | 1.75380 | − | 7.91628i | 0.0671563 | − | 0.303130i | ||||
\(683\) | −24.0637 | + | 17.4833i | −0.920773 | + | 0.668981i | −0.943716 | − | 0.330756i | \(-0.892696\pi\) |
0.0229435 | + | 0.999737i | \(0.492696\pi\) | |||||||
\(684\) | 61.5317 | + | 7.53707i | 2.35272 | + | 0.288187i | ||||
\(685\) | −1.56844 | + | 7.99527i | −0.0599270 | + | 0.305483i | ||||
\(686\) | 18.0802 | + | 10.6465i | 0.690306 | + | 0.406487i | ||||
\(687\) | −33.7717 | + | 10.9731i | −1.28847 | + | 0.418649i | ||||
\(688\) | −6.27032 | + | 10.0475i | −0.239054 | + | 0.383059i | ||||
\(689\) | 3.67089 | − | 11.2978i | 0.139850 | − | 0.430413i | ||||
\(690\) | 8.67695 | − | 19.8697i | 0.330326 | − | 0.756426i | ||||
\(691\) | 29.9436 | − | 9.72925i | 1.13911 | − | 0.370118i | 0.322077 | − | 0.946714i | \(-0.395619\pi\) |
0.817030 | + | 0.576595i | \(0.195619\pi\) | |||||||
\(692\) | −19.9876 | + | 3.89119i | −0.759813 | + | 0.147921i | ||||
\(693\) | 32.1269 | 1.22040 | ||||||||
\(694\) | 13.2676 | − | 5.77122i | 0.503633 | − | 0.219072i | ||||
\(695\) | 22.8773 | − | 21.2598i | 0.867787 | − | 0.806430i | ||||
\(696\) | −53.0452 | + | 15.7377i | −2.01067 | + | 0.596538i | ||||
\(697\) | −20.8859 | + | 28.7469i | −0.791108 | + | 1.08887i | ||||
\(698\) | 5.80600 | + | 3.41886i | 0.219760 | + | 0.129406i | ||||
\(699\) | 39.0712i | 1.47781i | ||||||||
\(700\) | 10.2665 | + | 5.73329i | 0.388036 | + | 0.216698i | ||||
\(701\) | 2.30506i | 0.0870611i | 0.999052 | + | 0.0435305i | \(0.0138606\pi\) | ||||
−0.999052 | + | 0.0435305i | \(0.986139\pi\) | |||||||
\(702\) | 7.95301 | − | 13.5060i | 0.300167 | − | 0.509751i | ||||
\(703\) | −18.5398 | + | 25.5178i | −0.699240 | + | 0.962422i | ||||
\(704\) | 29.6751 | + | 11.3617i | 1.11842 | + | 0.428209i | ||||
\(705\) | −7.19368 | + | 36.6704i | −0.270930 | + | 1.38109i | ||||
\(706\) | −10.2982 | − | 23.6748i | −0.387576 | − | 0.891012i | ||||
\(707\) | 9.22096 | 0.346790 | ||||||||
\(708\) | −1.54440 | − | 7.93297i | −0.0580419 | − | 0.298139i | ||||
\(709\) | −25.4956 | + | 8.28402i | −0.957508 | + | 0.311113i | −0.745763 | − | 0.666212i | \(-0.767915\pi\) |
−0.211745 | + | 0.977325i | \(0.567915\pi\) | |||||||
\(710\) | −0.602413 | + | 6.15434i | −0.0226082 | + | 0.230968i | ||||
\(711\) | −5.86429 | + | 18.0484i | −0.219928 | + | 0.676869i | ||||
\(712\) | 2.46235 | − | 6.96307i | 0.0922806 | − | 0.260952i | ||||
\(713\) | 2.99472 | − | 0.973045i | 0.112153 | − | 0.0364408i | ||||
\(714\) | 14.7773 | − | 25.0953i | 0.553028 | − | 0.939166i | ||||
\(715\) | 7.05555 | + | 3.92688i | 0.263862 | + | 0.146857i | ||||
\(716\) | −29.9804 | − | 3.67233i | −1.12042 | − | 0.137241i | ||||
\(717\) | 70.2688 | − | 51.0533i | 2.62424 | − | 1.90662i | ||||
\(718\) | −25.2212 | − | 5.58759i | −0.941248 | − | 0.208527i | ||||
\(719\) | 12.3313 | − | 8.95922i | 0.459880 | − | 0.334123i | −0.333604 | − | 0.942713i | \(-0.608265\pi\) |
0.793484 | + | 0.608591i | \(0.208265\pi\) | |||||||
\(720\) | 42.0106 | − | 44.9475i | 1.56564 | − | 1.67509i | ||||
\(721\) | −12.5269 | − | 9.10133i | −0.466526 | − | 0.338951i | ||||
\(722\) | −1.22341 | − | 1.38241i | −0.0455306 | − | 0.0514480i | ||||
\(723\) | −4.16038 | + | 12.8043i | −0.154726 | + | 0.476198i | ||||
\(724\) | −15.9831 | + | 34.3017i | −0.594007 | + | 1.27481i | ||||
\(725\) | −31.0368 | − | 2.27793i | −1.15268 | − | 0.0846001i | ||||
\(726\) | 20.7285 | + | 4.59226i | 0.769308 | + | 0.170435i | ||||
\(727\) | −2.11778 | − | 0.688107i | −0.0785440 | − | 0.0255205i | 0.269481 | − | 0.963006i | \(-0.413148\pi\) |
−0.348025 | + | 0.937485i | \(0.613148\pi\) | |||||||
\(728\) | −2.89887 | + | 0.860052i | −0.107439 | + | 0.0318756i | ||||
\(729\) | −5.38937 | − | 3.91560i | −0.199606 | − | 0.145022i | ||||
\(730\) | −2.86968 | − | 13.0418i | −0.106212 | − | 0.482699i | ||||
\(731\) | 9.69724 | + | 13.3471i | 0.358665 | + | 0.493661i | ||||
\(732\) | 41.1258 | − | 88.2612i | 1.52005 | − | 3.26223i | ||||
\(733\) | 40.0434 | − | 29.0933i | 1.47904 | − | 1.07458i | 0.501173 | − | 0.865347i | \(-0.332902\pi\) |
0.977865 | − | 0.209237i | \(-0.0670979\pi\) | |||||||
\(734\) | −21.1949 | + | 2.04393i | −0.782319 | + | 0.0754430i | ||||
\(735\) | 35.8082 | − | 16.6225i | 1.32081 | − | 0.613131i | ||||
\(736\) | 2.04551 | + | 12.1694i | 0.0753986 | + | 0.448571i | ||||
\(737\) | −11.4703 | + | 3.72692i | −0.422513 | + | 0.137283i | ||||
\(738\) | −5.95475 | − | 61.7488i | −0.219197 | − | 2.27301i | ||||
\(739\) | −17.2361 | − | 5.60033i | −0.634039 | − | 0.206012i | −0.0256753 | − | 0.999670i | \(-0.508174\pi\) |
−0.608363 | + | 0.793659i | \(0.708174\pi\) | |||||||
\(740\) | 9.63061 | + | 29.7854i | 0.354028 | + | 1.09493i | ||||
\(741\) | −12.2460 | + | 3.97897i | −0.449869 | + | 0.146171i | ||||
\(742\) | 8.66715 | + | 19.9252i | 0.318181 | + | 0.731477i | ||||
\(743\) | − | 15.5632i | − | 0.570959i | −0.958385 | − | 0.285479i | \(-0.907847\pi\) | ||
0.958385 | − | 0.285479i | \(-0.0921528\pi\) | |||||||
\(744\) | 12.8278 | + | 0.330339i | 0.470291 | + | 0.0121108i | ||||
\(745\) | −5.10661 | − | 2.84217i | −0.187092 | − | 0.104129i | ||||
\(746\) | −0.664499 | − | 0.750860i | −0.0243290 | − | 0.0274910i | ||||
\(747\) | −52.6813 | − | 38.2752i | −1.92751 | − | 1.40042i | ||||
\(748\) | 30.1781 | − | 32.3808i | 1.10342 | − | 1.18396i | ||||
\(749\) | − | 8.23944i | − | 0.301062i | ||||||
\(750\) | 44.5852 | − | 21.9500i | 1.62802 | − | 0.801501i | ||||
\(751\) | 41.5803 | 1.51729 | 0.758643 | − | 0.651507i | \(-0.225863\pi\) | ||||
0.758643 | + | 0.651507i | \(0.225863\pi\) | |||||||
\(752\) | −7.97886 | − | 19.7155i | −0.290959 | − | 0.718951i | ||||
\(753\) | 24.7554 | − | 34.0729i | 0.902137 | − | 1.24169i | ||||
\(754\) | 5.99274 | − | 5.30348i | 0.218243 | − | 0.193141i | ||||
\(755\) | −11.5463 | + | 20.7455i | −0.420211 | + | 0.755007i | ||||
\(756\) | 5.47844 | + | 28.1407i | 0.199249 | + | 1.02347i | ||||
\(757\) | −1.83755 | −0.0667870 | −0.0333935 | − | 0.999442i | \(-0.510631\pi\) | ||||
−0.0333935 | + | 0.999442i | \(0.510631\pi\) | |||||||
\(758\) | 10.3850 | + | 23.8745i | 0.377202 | + | 0.867161i | ||||
\(759\) | 8.41550 | + | 25.9003i | 0.305463 | + | 0.940120i | ||||
\(760\) | −28.3717 | + | 2.69491i | −1.02915 | + | 0.0977548i | ||||
\(761\) | −9.18935 | + | 28.2819i | −0.333114 | + | 1.02522i | 0.634530 | + | 0.772898i | \(0.281194\pi\) |
−0.967644 | + | 0.252320i | \(0.918806\pi\) | |||||||
\(762\) | −38.1835 | + | 3.68223i | −1.38324 | + | 0.133393i | ||||
\(763\) | −0.981880 | − | 3.02192i | −0.0355464 | − | 0.109401i | ||||
\(764\) | −3.05570 | + | 3.27874i | −0.110552 | + | 0.118621i | ||||
\(765\) | −36.0851 | − | 77.7345i | −1.30466 | − | 2.81050i | ||||
\(766\) | 25.2637 | − | 2.43630i | 0.912813 | − | 0.0880272i | ||||
\(767\) | 0.687057 | + | 0.945653i | 0.0248082 | + | 0.0341455i | ||||
\(768\) | −8.67516 | + | 49.5344i | −0.313038 | + | 1.78742i | ||||
\(769\) | 7.63237 | − | 5.54524i | 0.275230 | − | 0.199966i | −0.441604 | − | 0.897210i | \(-0.645590\pi\) |
0.716834 | + | 0.697244i | \(0.245590\pi\) | |||||||
\(770\) | −14.4246 | + | 3.17395i | −0.519827 | + | 0.114381i | ||||
\(771\) | 14.4450 | − | 19.8818i | 0.520222 | − | 0.716025i | ||||
\(772\) | −39.6929 | + | 22.0172i | −1.42858 | + | 0.792415i | ||||
\(773\) | 7.49873 | − | 23.0787i | 0.269711 | − | 0.830084i | −0.720860 | − | 0.693081i | \(-0.756253\pi\) |
0.990571 | − | 0.137003i | \(-0.0437471\pi\) | |||||||
\(774\) | −28.1210 | − | 6.23000i | −1.01079 | − | 0.223933i | ||||
\(775\) | 6.68240 | + | 2.72672i | 0.240039 | + | 0.0979467i | ||||
\(776\) | −0.501718 | + | 0.654439i | −0.0180106 | + | 0.0234930i | ||||
\(777\) | −24.6036 | − | 7.99420i | −0.882649 | − | 0.286790i | ||||
\(778\) | −25.2862 | + | 22.3778i | −0.906553 | + | 0.802284i | ||||
\(779\) | −16.8908 | + | 23.2482i | −0.605176 | + | 0.832953i | ||||
\(780\) | −3.96639 | + | 12.1479i | −0.142020 | + | 0.434965i | ||||
\(781\) | −4.56537 | − | 6.28370i | −0.163362 | − | 0.224848i | ||||
\(782\) | 16.7827 | + | 3.71810i | 0.600150 | + | 0.132959i | ||||
\(783\) | −44.5974 | − | 61.3830i | −1.59378 | − | 2.19365i | ||||
\(784\) | −11.8958 | + | 19.0618i | −0.424851 | + | 0.680779i | ||||
\(785\) | 4.24490 | − | 7.62695i | 0.151507 | − | 0.272217i | ||||
\(786\) | −33.3146 | − | 19.6173i | −1.18829 | − | 0.699725i | ||||
\(787\) | 11.5135 | + | 35.4350i | 0.410413 | + | 1.26312i | 0.916290 | + | 0.400515i | \(0.131169\pi\) |
−0.505877 | + | 0.862606i | \(0.668831\pi\) | |||||||
\(788\) | −3.15689 | + | 25.7725i | −0.112460 | + | 0.918106i | ||||
\(789\) | 82.0264 | + | 26.6520i | 2.92022 | + | 0.948837i | ||||
\(790\) | 0.849920 | − | 8.68291i | 0.0302388 | − | 0.308924i | ||||
\(791\) | −1.66083 | − | 5.11151i | −0.0590524 | − | 0.181745i | ||||
\(792\) | −1.98935 | + | 77.2510i | −0.0706885 | + | 2.74499i | ||||
\(793\) | 14.0830i | 0.500103i | ||||||||
\(794\) | −1.87234 | + | 0.814440i | −0.0664469 | + | 0.0289034i | ||||
\(795\) | 90.1123 | + | 17.6774i | 3.19595 | + | 0.626953i | ||||
\(796\) | 17.6724 | + | 31.8602i | 0.626383 | + | 1.12925i | ||||
\(797\) | 4.03520 | + | 2.93174i | 0.142934 | + | 0.103848i | 0.656954 | − | 0.753930i | \(-0.271844\pi\) |
−0.514020 | + | 0.857778i | \(0.671844\pi\) | |||||||
\(798\) | 11.9507 | − | 20.2950i | 0.423051 | − | 0.718436i | ||||
\(799\) | −29.6272 | −1.04814 | ||||||||
\(800\) | −14.4218 | + | 24.3313i | −0.509886 | + | 0.860242i | ||||
\(801\) | 17.9614 | 0.634635 | ||||||||
\(802\) | 18.7063 | − | 31.7675i | 0.660542 | − | 1.12175i | ||||
\(803\) | 13.5696 | + | 9.85892i | 0.478862 | + | 0.347914i | ||||
\(804\) | −9.25842 | − | 16.6912i | −0.326519 | − | 0.588655i | ||||
\(805\) | −3.90458 | − | 4.20166i | −0.137618 | − | 0.148089i | ||||
\(806\) | −1.70187 | + | 0.740289i | −0.0599460 | + | 0.0260756i | ||||
\(807\) | − | 67.0587i | − | 2.36058i | ||||||
\(808\) | −0.570978 | + | 22.1724i | −0.0200869 | + | 0.780021i | ||||
\(809\) | −2.74204 | − | 8.43914i | −0.0964051 | − | 0.296704i | 0.891212 | − | 0.453587i | \(-0.149856\pi\) |
−0.987617 | + | 0.156882i | \(0.949856\pi\) | |||||||
\(810\) | 51.2335 | + | 22.3733i | 1.80016 | + | 0.786117i | ||||
\(811\) | −20.7338 | − | 6.73681i | −0.728062 | − | 0.236562i | −0.0785467 | − | 0.996910i | \(-0.525028\pi\) |
−0.649515 | + | 0.760349i | \(0.725028\pi\) | |||||||
\(812\) | −1.77967 | + | 14.5290i | −0.0624541 | + | 0.509867i | ||||
\(813\) | −1.03769 | − | 3.19368i | −0.0363934 | − | 0.112007i | ||||
\(814\) | −33.8812 | − | 19.9509i | −1.18753 | − | 0.699280i | ||||
\(815\) | −43.0719 | − | 8.44946i | −1.50874 | − | 0.295972i | ||||
\(816\) | 59.4280 | + | 37.0870i | 2.08040 | + | 1.29830i | ||||
\(817\) | 7.84235 | + | 10.7941i | 0.274369 | + | 0.377637i | ||||
\(818\) | −1.39675 | − | 0.309440i | −0.0488362 | − | 0.0108193i | ||||
\(819\) | −4.32233 | − | 5.94918i | −0.151035 | − | 0.207881i | ||||
\(820\) | 8.77405 | + | 27.1363i | 0.306403 | + | 0.947639i | ||||
\(821\) | 21.5298 | − | 29.6332i | 0.751394 | − | 1.03420i | −0.246488 | − | 0.969146i | \(-0.579276\pi\) |
0.997881 | − | 0.0650589i | \(-0.0207235\pi\) | |||||||
\(822\) | 12.1286 | − | 10.7336i | 0.423033 | − | 0.374377i | ||||
\(823\) | −5.63427 | − | 1.83068i | −0.196398 | − | 0.0638136i | 0.209166 | − | 0.977880i | \(-0.432925\pi\) |
−0.405564 | + | 0.914066i | \(0.632925\pi\) | |||||||
\(824\) | 22.6604 | − | 29.5581i | 0.789412 | − | 1.02971i | ||||
\(825\) | −23.5824 | + | 57.7936i | −0.821033 | + | 2.01212i | ||||
\(826\) | −2.08743 | − | 0.462456i | −0.0726311 | − | 0.0160909i | ||||
\(827\) | 4.70692 | − | 14.4864i | 0.163676 | − | 0.503742i | −0.835261 | − | 0.549854i | \(-0.814683\pi\) |
0.998936 | + | 0.0461123i | \(0.0146832\pi\) | |||||||
\(828\) | −26.2435 | + | 14.5570i | −0.912026 | + | 0.505889i | ||||
\(829\) | 25.2244 | − | 34.7183i | 0.876078 | − | 1.20582i | −0.101414 | − | 0.994844i | \(-0.532337\pi\) |
0.977492 | − | 0.210974i | \(-0.0676634\pi\) | |||||||
\(830\) | 27.4347 | + | 11.9805i | 0.952273 | + | 0.415851i | ||||
\(831\) | −45.1419 | + | 32.7975i | −1.56595 | + | 1.13773i | ||||
\(832\) | −1.88854 | − | 7.02376i | −0.0654735 | − | 0.243505i | ||||
\(833\) | 18.3972 | + | 25.3216i | 0.637427 | + | 0.877343i | ||||
\(834\) | −61.7941 | + | 5.95912i | −2.13976 | + | 0.206347i | ||||
\(835\) | −37.3887 | + | 4.52531i | −1.29389 | + | 0.156605i | ||||
\(836\) | 24.4056 | − | 26.1870i | 0.844085 | − | 0.905695i | ||||
\(837\) | 5.43757 | + | 16.7351i | 0.187950 | + | 0.578450i | ||||
\(838\) | 47.1065 | − | 4.54271i | 1.62727 | − | 0.156925i | ||||
\(839\) | 14.0891 | − | 43.3617i | 0.486409 | − | 1.49701i | −0.343521 | − | 0.939145i | \(-0.611620\pi\) |
0.829930 | − | 0.557868i | \(-0.188380\pi\) | |||||||
\(840\) | −9.29287 | − | 21.4478i | −0.320635 | − | 0.740020i | ||||
\(841\) | −3.00946 | − | 9.26218i | −0.103775 | − | 0.319385i | ||||
\(842\) | −15.5182 | − | 35.6753i | −0.534792 | − | 1.22945i | ||||
\(843\) | 34.1050 | 1.17464 | ||||||||
\(844\) | 0.671504 | + | 3.44926i | 0.0231141 | + | 0.118729i | ||||
\(845\) | 3.27075 | + | 27.0234i | 0.112517 | + | 0.929634i | ||||
\(846\) | 38.7344 | − | 34.2793i | 1.33172 | − | 1.17855i | ||||
\(847\) | 3.30138 | − | 4.54396i | 0.113437 | − | 0.156132i | ||||
\(848\) | −48.4480 | + | 19.6069i | −1.66371 | + | 0.673303i | ||||
\(849\) | −72.9986 | −2.50531 | ||||||||
\(850\) | 23.8815 | + | 31.3369i | 0.819130 | + | 1.07485i | ||||
\(851\) | − | 15.2695i | − | 0.523433i | ||||||
\(852\) | 8.38064 | − | 8.99235i | 0.287116 | − | 0.308073i | ||||
\(853\) | 39.8951 | + | 28.9855i | 1.36598 | + | 0.992445i | 0.998039 | + | 0.0625971i | \(0.0199383\pi\) |
0.367944 | + | 0.929848i | \(0.380062\pi\) | |||||||
\(854\) | −17.0716 | − | 19.2903i | −0.584179 | − | 0.660101i | ||||
\(855\) | −29.1827 | − | 62.8654i | −0.998028 | − | 2.14995i | ||||
\(856\) | 19.8122 | + | 0.510200i | 0.677168 | + | 0.0174383i | ||||
\(857\) | − | 57.0345i | − | 1.94826i | −0.225989 | − | 0.974130i | \(-0.572561\pi\) | ||
0.225989 | − | 0.974130i | \(-0.427439\pi\) | |||||||
\(858\) | −6.40248 | − | 14.7189i | −0.218577 | − | 0.502494i | ||||
\(859\) | 20.6564 | − | 6.71166i | 0.704786 | − | 0.228999i | 0.0653714 | − | 0.997861i | \(-0.479177\pi\) |
0.639415 | + | 0.768862i | \(0.279177\pi\) | |||||||
\(860\) | 13.2415 | + | 0.0190110i | 0.451531 | + | 0.000648271i | ||||
\(861\) | −22.4153 | − | 7.28318i | −0.763912 | − | 0.248210i | ||||
\(862\) | 3.63023 | + | 37.6443i | 0.123646 | + | 1.28217i | ||||
\(863\) | −17.9981 | + | 5.84794i | −0.612663 | + | 0.199066i | −0.598880 | − | 0.800839i | \(-0.704387\pi\) |
−0.0137830 | + | 0.999905i | \(0.504387\pi\) | |||||||
\(864\) | −68.0052 | + | 11.4307i | −2.31358 | + | 0.388881i | ||||
\(865\) | 15.4978 | + | 16.6770i | 0.526942 | + | 0.567034i | ||||
\(866\) | 29.2166 | − | 2.81751i | 0.992822 | − | 0.0957428i | ||||
\(867\) | 35.7171 | − | 25.9500i | 1.21302 | − | 0.881307i | ||||
\(868\) | 1.43377 | − | 3.07705i | 0.0486653 | − | 0.104442i | ||||
\(869\) | 6.44110 | + | 8.86542i | 0.218499 | + | 0.300739i | ||||
\(870\) | 46.2666 | + | 41.0638i | 1.56859 | + | 1.39219i | ||||
\(871\) | 2.23335 | + | 1.62262i | 0.0756742 | + | 0.0549805i | ||||
\(872\) | 7.32718 | − | 2.17387i | 0.248130 | − | 0.0736165i | ||||
\(873\) | −1.90729 | − | 0.619716i | −0.0645520 | − | 0.0209742i | ||||
\(874\) | 13.5725 | + | 3.00690i | 0.459098 | + | 0.101710i | ||||
\(875\) | −0.620102 | − | 13.1322i | −0.0209633 | − | 0.443949i | ||||
\(876\) | −11.2114 | + | 24.0611i | −0.378799 | + | 0.812950i | ||||
\(877\) | −4.30447 | + | 13.2478i | −0.145352 | + | 0.447347i | −0.997056 | − | 0.0766761i | \(-0.975569\pi\) |
0.851704 | + | 0.524023i | \(0.175569\pi\) | |||||||
\(878\) | 0.283886 | + | 0.320781i | 0.00958068 | + | 0.0108258i | ||||
\(879\) | 59.9157 | + | 43.5313i | 2.02091 | + | 1.46827i | ||||
\(880\) | −6.73876 | − | 34.8814i | −0.227164 | − | 1.17585i | ||||
\(881\) | −32.7294 | + | 23.7793i | −1.10268 | + | 0.801145i | −0.981496 | − | 0.191485i | \(-0.938670\pi\) |
−0.121186 | + | 0.992630i | \(0.538670\pi\) | |||||||
\(882\) | −53.3501 | − | 11.8193i | −1.79639 | − | 0.397977i | ||||
\(883\) | 3.31224 | − | 2.40648i | 0.111466 | − | 0.0809845i | −0.530656 | − | 0.847587i | \(-0.678054\pi\) |
0.642122 | + | 0.766603i | \(0.278054\pi\) | |||||||
\(884\) | −10.0563 | − | 1.23181i | −0.338231 | − | 0.0414303i | ||||
\(885\) | −6.61902 | + | 6.15102i | −0.222496 | + | 0.206764i | ||||
\(886\) | 24.3297 | − | 41.3172i | 0.817371 | − | 1.38808i | ||||
\(887\) | 5.39637 | − | 1.75339i | 0.181192 | − | 0.0588730i | −0.217016 | − | 0.976168i | \(-0.569632\pi\) |
0.398208 | + | 0.917295i | \(0.369632\pi\) | |||||||
\(888\) | 20.7460 | − | 58.6658i | 0.696191 | − | 1.96870i | ||||
\(889\) | −3.13597 | + | 9.65152i | −0.105177 | + | 0.323701i | ||||
\(890\) | −8.06447 | + | 1.77448i | −0.270322 | + | 0.0594808i | ||||
\(891\) | −66.7832 | + | 21.6992i | −2.23732 | + | 0.726950i | ||||
\(892\) | 0.595670 | + | 3.05973i | 0.0199445 | + | 0.102447i | ||||
\(893\) | −23.9601 | −0.801795 | ||||||||
\(894\) | 4.63394 | + | 10.6531i | 0.154982 | + | 0.356294i | ||||
\(895\) | 14.2188 | + | 30.6302i | 0.475284 | + | 1.02386i | ||||
\(896\) | 11.1011 | + | 7.33153i | 0.370863 | + | 0.244929i | ||||
\(897\) | 3.66394 | − | 5.04297i | 0.122335 | − | 0.168380i | ||||
\(898\) | 9.04513 | − | 15.3607i | 0.301840 | − | 0.512592i | ||||
\(899\) | 8.98418i | 0.299639i | ||||||||
\(900\) | −67.4800 | − | 13.3383i | −2.24933 | − | 0.444609i | ||||
\(901\) | 72.8046i | 2.42547i | ||||||||
\(902\) | −30.8677 | − | 18.1765i | −1.02778 | − | 0.605210i | ||||
\(903\) | −6.43211 | + | 8.85304i | −0.214047 | + | 0.294611i | ||||
\(904\) | 12.3938 | − | 3.67706i | 0.412211 | − | 0.122297i | ||||
\(905\) | 42.0029 | − | 5.08377i | 1.39622 | − | 0.168990i | ||||
\(906\) | 43.2781 | − | 18.8253i | 1.43782 | − | 0.625429i | ||||
\(907\) | −49.8362 | −1.65478 | −0.827392 | − | 0.561625i | \(-0.810176\pi\) | ||||
−0.827392 | + | 0.561625i | \(0.810176\pi\) | |||||||
\(908\) | 18.1045 | − | 3.52458i | 0.600817 | − | 0.116967i | ||||
\(909\) | −51.2997 | + | 16.6683i | −1.70150 | + | 0.552852i | ||||
\(910\) | 2.52843 | + | 2.24410i | 0.0838165 | + | 0.0743910i | ||||
\(911\) | 1.08071 | − | 3.32610i | 0.0358057 | − | 0.110199i | −0.931556 | − | 0.363597i | \(-0.881548\pi\) |
0.967362 | + | 0.253399i | \(0.0815485\pi\) | |||||||
\(912\) | 48.0606 | + | 29.9930i | 1.59145 | + | 0.993166i | ||||
\(913\) | −35.7613 | + | 11.6196i | −1.18353 | + | 0.384551i | ||||
\(914\) | 3.15545 | + | 1.85809i | 0.104373 | + | 0.0614602i | ||||
\(915\) | −108.077 | + | 13.0810i | −3.57291 | + | 0.432443i | ||||
\(916\) | −22.4283 | − | 2.74726i | −0.741051 | − | 0.0907720i | ||||
\(917\) | −8.27442 | + | 6.01172i | −0.273246 | + | 0.198525i | ||||
\(918\) | −20.7775 | + | 93.7853i | −0.685759 | + | 3.09538i | ||||
\(919\) | −35.2395 | + | 25.6030i | −1.16244 | + | 0.844564i | −0.990085 | − | 0.140471i | \(-0.955138\pi\) |
−0.172357 | + | 0.985034i | \(0.555138\pi\) | |||||||
\(920\) | 10.3449 | − | 9.12862i | 0.341062 | − | 0.300962i | ||||
\(921\) | −74.2277 | − | 53.9296i | −2.44589 | − | 1.77704i | ||||
\(922\) | −7.23276 | + | 6.40087i | −0.238198 | + | 0.210801i | ||||
\(923\) | −0.549378 | + | 1.69081i | −0.0180830 | + | 0.0556538i | ||||
\(924\) | 26.6123 | + | 12.4001i | 0.875479 | + | 0.407935i | ||||
\(925\) | 22.5890 | − | 26.7327i | 0.742722 | − | 0.878965i | ||||
\(926\) | −6.67486 | + | 30.1290i | −0.219349 | + | 0.990099i | ||||
\(927\) | 86.1439 | + | 27.9899i | 2.82934 | + | 0.919307i | ||||
\(928\) | −34.8256 | − | 5.17898i | −1.14321 | − | 0.170008i | ||||
\(929\) | −20.6493 | − | 15.0026i | −0.677483 | − | 0.492220i | 0.195039 | − | 0.980795i | \(-0.437517\pi\) |
−0.872522 | + | 0.488576i | \(0.837517\pi\) | |||||||
\(930\) | −7.26196 | − | 12.3730i | −0.238129 | − | 0.405728i | ||||
\(931\) | 14.8782 | + | 20.4781i | 0.487614 | + | 0.671143i | ||||
\(932\) | −10.5007 | + | 22.5358i | −0.343962 | + | 0.738186i | ||||
\(933\) | −2.49920 | + | 1.81577i | −0.0818201 | + | 0.0594458i | ||||
\(934\) | 0.407943 | + | 4.23024i | 0.0133483 | + | 0.138418i | ||||
\(935\) | −48.5622 | − | 9.52649i | −1.58815 | − | 0.311549i | ||||
\(936\) | 14.5728 | − | 10.0249i | 0.476327 | − | 0.327675i | ||||
\(937\) | 3.76427 | − | 1.22309i | 0.122973 | − | 0.0399565i | −0.246884 | − | 0.969045i | \(-0.579407\pi\) |
0.369857 | + | 0.929089i | \(0.379407\pi\) | |||||||
\(938\) | −5.02612 | + | 0.484694i | −0.164109 | + | 0.0158258i | ||||
\(939\) | 28.6403 | + | 9.30581i | 0.934642 | + | 0.303684i | ||||
\(940\) | −14.0047 | + | 19.2178i | −0.456784 | + | 0.626815i | ||||
\(941\) | 7.54079 | − | 2.45015i | 0.245823 | − | 0.0798727i | −0.183514 | − | 0.983017i | \(-0.558747\pi\) |
0.429337 | + | 0.903144i | \(0.358747\pi\) | |||||||
\(942\) | −15.9109 | + | 6.92099i | −0.518405 | + | 0.225498i | ||||
\(943\) | − | 13.9114i | − | 0.453018i | ||||||
\(944\) | 1.24126 | − | 4.99073i | 0.0403996 | − | 0.162434i | ||||
\(945\) | 23.4797 | − | 21.8196i | 0.763794 | − | 0.709791i | ||||
\(946\) | −12.4550 | + | 11.0225i | −0.404947 | + | 0.358371i | ||||
\(947\) | 0.630350 | + | 0.457976i | 0.0204836 | + | 0.0148822i | 0.597980 | − | 0.801511i | \(-0.295970\pi\) |
−0.577496 | + | 0.816393i | \(0.695970\pi\) | |||||||
\(948\) | −11.8239 | + | 12.6870i | −0.384023 | + | 0.412053i | ||||
\(949\) | − | 3.83921i | − | 0.124626i | ||||||
\(950\) | 19.3135 | + | 25.3428i | 0.626611 | + | 0.822229i | ||||
\(951\) | −57.8664 | −1.87645 | ||||||||
\(952\) | 15.2680 | − | 10.5031i | 0.494838 | − | 0.340409i | ||||
\(953\) | 6.29429 | − | 8.66334i | 0.203892 | − | 0.280633i | −0.694810 | − | 0.719194i | \(-0.744511\pi\) |
0.898702 | + | 0.438560i | \(0.144511\pi\) | |||||||
\(954\) | −84.2364 | − | 95.1842i | −2.72725 | − | 3.08170i | ||||
\(955\) | 4.91720 | + | 0.964613i | 0.159117 | + | 0.0312141i | ||||
\(956\) | 54.2513 | − | 10.5617i | 1.75461 | − | 0.341589i | ||||
\(957\) | −77.7008 | −2.51171 | ||||||||
\(958\) | −24.6405 | + | 10.7182i | −0.796097 | + | 0.346290i | ||||
\(959\) | −1.32402 | − | 4.07492i | −0.0427549 | − | 0.131586i | ||||
\(960\) | 52.1480 | − | 21.0172i | 1.68307 | − | 0.678327i | ||||
\(961\) | −8.93566 | + | 27.5011i | −0.288247 | + | 0.887134i | ||||
\(962\) | 0.863887 | + | 8.95823i | 0.0278528 | + | 0.288825i | ||||
\(963\) | 14.8940 | + | 45.8391i | 0.479953 | + | 1.47714i | ||||
\(964\) | −5.84093 | + | 6.26726i | −0.188124 | + | 0.201855i | ||||
\(965\) | 44.3427 | + | 24.6796i | 1.42744 | + | 0.794465i | ||||
\(966\) | 1.09445 | + | 11.3491i | 0.0352134 | + | 0.365152i | ||||
\(967\) | 5.37219 | + | 7.39419i | 0.172758 | + | 0.237781i | 0.886612 | − | 0.462513i | \(-0.153052\pi\) |
−0.713854 | + | 0.700294i | \(0.753052\pi\) | |||||||
\(968\) | 10.7218 | + | 8.21973i | 0.344612 | + | 0.264192i | ||||
\(969\) | 63.8435 | − | 46.3850i | 2.05095 | − | 1.49010i | ||||
\(970\) | 0.917577 | + | 0.0898164i | 0.0294616 | + | 0.00288383i | ||||
\(971\) | −15.2665 | + | 21.0125i | −0.489924 | + | 0.674323i | −0.980374 | − | 0.197147i | \(-0.936833\pi\) |
0.490450 | + | 0.871469i | \(0.336833\pi\) | |||||||
\(972\) | −18.4265 | − | 33.2196i | −0.591031 | − | 1.06552i | ||||
\(973\) | −5.07508 | + | 15.6195i | −0.162700 | + | 0.500738i | ||||
\(974\) | 0.580675 | − | 2.62105i | 0.0186060 | − | 0.0839839i | ||||
\(975\) | 13.8749 | − | 3.40859i | 0.444351 | − | 0.109162i | ||||
\(976\) | 47.4419 | − | 39.8552i | 1.51858 | − | 1.27574i | ||||
\(977\) | 29.0332 | + | 9.43346i | 0.928855 | + | 0.301803i | 0.734094 | − | 0.679048i | \(-0.237607\pi\) |
0.194760 | + | 0.980851i | \(0.437607\pi\) | |||||||
\(978\) | 57.8237 | + | 65.3388i | 1.84900 | + | 2.08930i | ||||
\(979\) | 6.09631 | − | 8.39085i | 0.194839 | − | 0.268173i | ||||
\(980\) | 25.1213 | + | 0.0360670i | 0.802469 | + | 0.00115212i | ||||
\(981\) | 10.9251 | + | 15.0372i | 0.348813 | + | 0.480100i | ||||
\(982\) | −9.44799 | + | 42.6463i | −0.301498 | + | 1.36090i | ||||
\(983\) | −23.5163 | − | 32.3674i | −0.750052 | − | 1.03236i | −0.997977 | − | 0.0635791i | \(-0.979748\pi\) |
0.247924 | − | 0.968779i | \(-0.420252\pi\) | |||||||
\(984\) | 18.9008 | − | 53.4480i | 0.602537 | − | 1.70386i | ||||
\(985\) | 26.3311 | − | 12.2231i | 0.838978 | − | 0.389462i | ||||
\(986\) | −24.8861 | + | 42.2623i | −0.792536 | + | 1.34590i | ||||
\(987\) | −6.07265 | − | 18.6897i | −0.193295 | − | 0.594900i | ||||
\(988\) | −8.13276 | − | 0.996190i | −0.258738 | − | 0.0316930i | ||||
\(989\) | −6.14291 | − | 1.99595i | −0.195333 | − | 0.0634676i | ||||
\(990\) | 74.5121 | − | 43.7325i | 2.36815 | − | 1.38991i | ||||
\(991\) | 14.8786 | + | 45.7916i | 0.472634 | + | 1.45462i | 0.849122 | + | 0.528197i | \(0.177132\pi\) |
−0.376488 | + | 0.926422i | \(0.622868\pi\) | |||||||
\(992\) | 7.31018 | + | 3.63812i | 0.232098 | + | 0.115510i | ||||
\(993\) | − | 22.7314i | − | 0.721358i | ||||||
\(994\) | −1.29711 | − | 2.98197i | −0.0411418 | − | 0.0945822i | ||||
\(995\) | 19.8095 | − | 35.5923i | 0.628003 | − | 1.12835i | ||||
\(996\) | −28.8653 | − | 52.0389i | −0.914633 | − | 1.64892i | ||||
\(997\) | 0.969621 | + | 0.704471i | 0.0307082 | + | 0.0223108i | 0.603033 | − | 0.797716i | \(-0.293959\pi\) |
−0.572325 | + | 0.820027i | \(0.693959\pi\) | |||||||
\(998\) | 12.9112 | + | 7.60275i | 0.408696 | + | 0.240661i | ||||
\(999\) | 85.3292 | 2.69970 |
(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 | 200.2.o.a.29.10 | ✓ | 112 | |
4.3 | odd | 2 | 800.2.be.a.529.27 | 112 | |||
5.2 | odd | 4 | 1000.2.t.b.101.10 | 224 | |||
5.3 | odd | 4 | 1000.2.t.b.101.47 | 224 | |||
5.4 | even | 2 | 1000.2.o.a.149.19 | 112 | |||
8.3 | odd | 2 | 800.2.be.a.529.2 | 112 | |||
8.5 | even | 2 | inner | 200.2.o.a.29.16 | yes | 112 | |
25.6 | even | 5 | 1000.2.o.a.349.13 | 112 | |||
25.8 | odd | 20 | 1000.2.t.b.901.2 | 224 | |||
25.17 | odd | 20 | 1000.2.t.b.901.55 | 224 | |||
25.19 | even | 10 | inner | 200.2.o.a.69.16 | yes | 112 | |
40.13 | odd | 4 | 1000.2.t.b.101.2 | 224 | |||
40.29 | even | 2 | 1000.2.o.a.149.13 | 112 | |||
40.37 | odd | 4 | 1000.2.t.b.101.55 | 224 | |||
100.19 | odd | 10 | 800.2.be.a.369.2 | 112 | |||
200.19 | odd | 10 | 800.2.be.a.369.27 | 112 | |||
200.69 | even | 10 | inner | 200.2.o.a.69.10 | yes | 112 | |
200.117 | odd | 20 | 1000.2.t.b.901.10 | 224 | |||
200.133 | odd | 20 | 1000.2.t.b.901.47 | 224 | |||
200.181 | even | 10 | 1000.2.o.a.349.19 | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
200.2.o.a.29.10 | ✓ | 112 | 1.1 | even | 1 | trivial | |
200.2.o.a.29.16 | yes | 112 | 8.5 | even | 2 | inner | |
200.2.o.a.69.10 | yes | 112 | 200.69 | even | 10 | inner | |
200.2.o.a.69.16 | yes | 112 | 25.19 | even | 10 | inner | |
800.2.be.a.369.2 | 112 | 100.19 | odd | 10 | |||
800.2.be.a.369.27 | 112 | 200.19 | odd | 10 | |||
800.2.be.a.529.2 | 112 | 8.3 | odd | 2 | |||
800.2.be.a.529.27 | 112 | 4.3 | odd | 2 | |||
1000.2.o.a.149.13 | 112 | 40.29 | even | 2 | |||
1000.2.o.a.149.19 | 112 | 5.4 | even | 2 | |||
1000.2.o.a.349.13 | 112 | 25.6 | even | 5 | |||
1000.2.o.a.349.19 | 112 | 200.181 | even | 10 | |||
1000.2.t.b.101.2 | 224 | 40.13 | odd | 4 | |||
1000.2.t.b.101.10 | 224 | 5.2 | odd | 4 | |||
1000.2.t.b.101.47 | 224 | 5.3 | odd | 4 | |||
1000.2.t.b.101.55 | 224 | 40.37 | odd | 4 | |||
1000.2.t.b.901.2 | 224 | 25.8 | odd | 20 | |||
1000.2.t.b.901.10 | 224 | 200.117 | odd | 20 | |||
1000.2.t.b.901.47 | 224 | 200.133 | odd | 20 | |||
1000.2.t.b.901.55 | 224 | 25.17 | odd | 20 |