Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(11,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 0, 23]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.br (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(176\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 11.3 | ||
Character | \(\chi\) | \(=\) | 930.11 |
Dual form | 930.2.br.b.761.3 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{23}{30}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.951057 | + | 0.309017i | −0.672499 | + | 0.218508i | ||||
\(3\) | −1.15627 | − | 1.28959i | −0.667573 | − | 0.744544i | ||||
\(4\) | 0.809017 | − | 0.587785i | 0.404508 | − | 0.293893i | ||||
\(5\) | −0.866025 | + | 0.500000i | −0.387298 | + | 0.223607i | ||||
\(6\) | 1.49818 | + | 0.869165i | 0.611631 | + | 0.354835i | ||||
\(7\) | −0.480398 | − | 4.57068i | −0.181573 | − | 1.72755i | −0.583700 | − | 0.811970i | \(-0.698395\pi\) |
0.402126 | − | 0.915584i | \(-0.368271\pi\) | |||||||
\(8\) | −0.587785 | + | 0.809017i | −0.207813 | + | 0.286031i | ||||
\(9\) | −0.326079 | + | 2.98223i | −0.108693 | + | 0.994075i | ||||
\(10\) | 0.669131 | − | 0.743145i | 0.211598 | − | 0.235003i | ||||
\(11\) | −0.516409 | − | 0.229920i | −0.155703 | − | 0.0693235i | 0.327406 | − | 0.944884i | \(-0.393826\pi\) |
−0.483109 | + | 0.875560i | \(0.660492\pi\) | |||||||
\(12\) | −1.69344 | − | 0.363661i | −0.488855 | − | 0.104980i | ||||
\(13\) | −1.00968 | − | 4.75019i | −0.280036 | − | 1.31747i | −0.863098 | − | 0.505037i | \(-0.831479\pi\) |
0.583062 | − | 0.812428i | \(-0.301855\pi\) | |||||||
\(14\) | 1.86930 | + | 4.19852i | 0.499592 | + | 1.12210i | ||||
\(15\) | 1.64615 | + | 0.538682i | 0.425035 | + | 0.139087i | ||||
\(16\) | 0.309017 | − | 0.951057i | 0.0772542 | − | 0.237764i | ||||
\(17\) | −1.72428 | + | 0.767698i | −0.418199 | + | 0.186194i | −0.605038 | − | 0.796196i | \(-0.706842\pi\) |
0.186839 | + | 0.982390i | \(0.440176\pi\) | |||||||
\(18\) | −0.611439 | − | 2.93703i | −0.144118 | − | 0.692264i | ||||
\(19\) | 0.927360 | + | 0.197116i | 0.212751 | + | 0.0452216i | 0.313054 | − | 0.949735i | \(-0.398648\pi\) |
−0.100303 | + | 0.994957i | \(0.531981\pi\) | |||||||
\(20\) | −0.406737 | + | 0.913545i | −0.0909491 | + | 0.204275i | ||||
\(21\) | −5.33883 | + | 5.90445i | −1.16503 | + | 1.28846i | ||||
\(22\) | 0.562183 | + | 0.0590878i | 0.119858 | + | 0.0125976i | ||||
\(23\) | −1.21642 | − | 0.883780i | −0.253641 | − | 0.184281i | 0.453698 | − | 0.891156i | \(-0.350104\pi\) |
−0.707339 | + | 0.706875i | \(0.750104\pi\) | |||||||
\(24\) | 1.72294 | − | 0.177441i | 0.351693 | − | 0.0362200i | ||||
\(25\) | 0.500000 | − | 0.866025i | 0.100000 | − | 0.173205i | ||||
\(26\) | 2.42816 | + | 4.20569i | 0.476200 | + | 0.824803i | ||||
\(27\) | 4.22288 | − | 3.02775i | 0.812694 | − | 0.582691i | ||||
\(28\) | −3.07523 | − | 3.41539i | −0.581163 | − | 0.645447i | ||||
\(29\) | −0.844119 | − | 2.59793i | −0.156749 | − | 0.482424i | 0.841585 | − | 0.540125i | \(-0.181623\pi\) |
−0.998334 | + | 0.0577011i | \(0.981623\pi\) | |||||||
\(30\) | −1.73205 | − | 0.00362720i | −0.316227 | − | 0.000662233i | ||||
\(31\) | 4.21421 | + | 3.63874i | 0.756895 | + | 0.653537i | ||||
\(32\) | 1.00000i | 0.176777i | ||||||||
\(33\) | 0.300606 | + | 0.931804i | 0.0523287 | + | 0.162206i | ||||
\(34\) | 1.40265 | − | 1.26296i | 0.240553 | − | 0.216595i | ||||
\(35\) | 2.70138 | + | 3.71812i | 0.456616 | + | 0.628478i | ||||
\(36\) | 1.48911 | + | 2.60434i | 0.248184 | + | 0.434056i | ||||
\(37\) | −3.87698 | − | 2.23838i | −0.637372 | − | 0.367987i | 0.146229 | − | 0.989251i | \(-0.453286\pi\) |
−0.783602 | + | 0.621264i | \(0.786620\pi\) | |||||||
\(38\) | −0.942884 | + | 0.0991011i | −0.152956 | + | 0.0160763i | ||||
\(39\) | −4.95832 | + | 6.79458i | −0.793967 | + | 1.08800i | ||||
\(40\) | 0.104528 | − | 0.994522i | 0.0165274 | − | 0.157248i | ||||
\(41\) | −6.77733 | − | 6.10233i | −1.05844 | − | 0.953025i | −0.0594633 | − | 0.998230i | \(-0.518939\pi\) |
−0.998978 | + | 0.0452059i | \(0.985606\pi\) | |||||||
\(42\) | 3.25295 | − | 7.26526i | 0.501941 | − | 1.12105i | ||||
\(43\) | −2.64923 | + | 12.4637i | −0.404004 | + | 1.90069i | 0.0295506 | + | 0.999563i | \(0.490592\pi\) |
−0.433555 | + | 0.901127i | \(0.642741\pi\) | |||||||
\(44\) | −0.552927 | + | 0.117528i | −0.0833569 | + | 0.0177180i | ||||
\(45\) | −1.20872 | − | 2.74572i | −0.180185 | − | 0.409308i | ||||
\(46\) | 1.42999 | + | 0.464631i | 0.210840 | + | 0.0685061i | ||||
\(47\) | 9.02610 | + | 2.93276i | 1.31659 | + | 0.427787i | 0.881323 | − | 0.472514i | \(-0.156653\pi\) |
0.435269 | + | 0.900300i | \(0.356653\pi\) | |||||||
\(48\) | −1.58378 | + | 0.701173i | −0.228599 | + | 0.101206i | ||||
\(49\) | −13.8133 | + | 2.93610i | −1.97333 | + | 0.419443i | ||||
\(50\) | −0.207912 | + | 0.978148i | −0.0294032 | + | 0.138331i | ||||
\(51\) | 2.98375 | + | 1.33594i | 0.417808 | + | 0.187070i | ||||
\(52\) | −3.60894 | − | 3.24951i | −0.500470 | − | 0.450625i | ||||
\(53\) | −0.0116490 | + | 0.110832i | −0.00160011 | + | 0.0152240i | −0.995293 | − | 0.0969134i | \(-0.969103\pi\) |
0.993693 | + | 0.112137i | \(0.0357697\pi\) | |||||||
\(54\) | −3.08057 | + | 4.18450i | −0.419213 | + | 0.569439i | ||||
\(55\) | 0.562183 | − | 0.0590878i | 0.0758047 | − | 0.00796740i | ||||
\(56\) | 3.98013 | + | 2.29793i | 0.531867 | + | 0.307073i | ||||
\(57\) | −0.818080 | − | 1.42383i | −0.108357 | − | 0.188591i | ||||
\(58\) | 1.60561 | + | 2.20993i | 0.210827 | + | 0.290178i | ||||
\(59\) | −2.10574 | + | 1.89601i | −0.274143 | + | 0.246840i | −0.794722 | − | 0.606974i | \(-0.792383\pi\) |
0.520578 | + | 0.853814i | \(0.325716\pi\) | |||||||
\(60\) | 1.64840 | − | 0.531782i | 0.212807 | − | 0.0686528i | ||||
\(61\) | 4.31193i | 0.552087i | 0.961145 | + | 0.276043i | \(0.0890233\pi\) | ||||
−0.961145 | + | 0.276043i | \(0.910977\pi\) | |||||||
\(62\) | −5.13239 | − | 2.15838i | −0.651814 | − | 0.274115i | ||||
\(63\) | 13.7874 | + | 0.0577467i | 1.73705 | + | 0.00727540i | ||||
\(64\) | −0.309017 | − | 0.951057i | −0.0386271 | − | 0.118882i | ||||
\(65\) | 3.24951 | + | 3.60894i | 0.403052 | + | 0.447634i | ||||
\(66\) | −0.573836 | − | 0.793306i | −0.0706344 | − | 0.0976492i | ||||
\(67\) | −3.48591 | − | 6.03777i | −0.425871 | − | 0.737631i | 0.570630 | − | 0.821207i | \(-0.306699\pi\) |
−0.996501 | + | 0.0835763i | \(0.973366\pi\) | |||||||
\(68\) | −0.943729 | + | 1.63459i | −0.114444 | + | 0.198223i | ||||
\(69\) | 0.266796 | + | 2.59057i | 0.0321185 | + | 0.311868i | ||||
\(70\) | −3.71812 | − | 2.70138i | −0.444401 | − | 0.322876i | ||||
\(71\) | −9.48638 | − | 0.997059i | −1.12583 | − | 0.118329i | −0.476740 | − | 0.879044i | \(-0.658182\pi\) |
−0.649086 | + | 0.760715i | \(0.724848\pi\) | |||||||
\(72\) | −2.22101 | − | 2.01671i | −0.261748 | − | 0.237672i | ||||
\(73\) | −3.17525 | + | 7.13174i | −0.371635 | + | 0.834707i | 0.626821 | + | 0.779163i | \(0.284356\pi\) |
−0.998456 | + | 0.0555435i | \(0.982311\pi\) | |||||||
\(74\) | 4.37893 | + | 0.930770i | 0.509040 | + | 0.108200i | ||||
\(75\) | −1.69495 | + | 0.356565i | −0.195716 | + | 0.0411726i | ||||
\(76\) | 0.866112 | − | 0.385618i | 0.0993499 | − | 0.0442334i | ||||
\(77\) | −0.802808 | + | 2.47079i | −0.0914885 | + | 0.281573i | ||||
\(78\) | 2.61601 | − | 7.99423i | 0.296204 | − | 0.905169i | ||||
\(79\) | 5.71023 | + | 12.8254i | 0.642451 | + | 1.44297i | 0.881606 | + | 0.471986i | \(0.156463\pi\) |
−0.239155 | + | 0.970981i | \(0.576870\pi\) | |||||||
\(80\) | 0.207912 | + | 0.978148i | 0.0232452 | + | 0.109360i | ||||
\(81\) | −8.78735 | − | 1.94488i | −0.976372 | − | 0.216098i | ||||
\(82\) | 8.33135 | + | 3.70936i | 0.920044 | + | 0.409630i | ||||
\(83\) | −6.99219 | + | 7.76562i | −0.767493 | + | 0.852387i | −0.992535 | − | 0.121962i | \(-0.961081\pi\) |
0.225042 | + | 0.974349i | \(0.427748\pi\) | |||||||
\(84\) | −0.848650 | + | 7.91489i | −0.0925953 | + | 0.863585i | ||||
\(85\) | 1.10942 | − | 1.52699i | 0.120333 | − | 0.165625i | ||||
\(86\) | −1.33191 | − | 12.6723i | −0.143624 | − | 1.36649i | ||||
\(87\) | −2.37423 | + | 4.09248i | −0.254545 | + | 0.438760i | ||||
\(88\) | 0.489546 | − | 0.282640i | 0.0521858 | − | 0.0301295i | ||||
\(89\) | 1.50357 | − | 1.09240i | 0.159378 | − | 0.115795i | −0.505238 | − | 0.862980i | \(-0.668595\pi\) |
0.664616 | + | 0.747185i | \(0.268595\pi\) | |||||||
\(90\) | 1.99804 | + | 2.23782i | 0.210612 | + | 0.235887i | ||||
\(91\) | −21.2265 | + | 6.89692i | −2.22515 | + | 0.722993i | ||||
\(92\) | −1.50358 | −0.156759 | ||||||||
\(93\) | −0.180290 | − | 9.64197i | −0.0186952 | − | 0.999825i | ||||
\(94\) | −9.49061 | −0.978881 | ||||||||
\(95\) | −0.901676 | + | 0.292972i | −0.0925100 | + | 0.0300583i | ||||
\(96\) | 1.28959 | − | 1.15627i | 0.131618 | − | 0.118011i | ||||
\(97\) | −1.12756 | + | 0.819221i | −0.114486 | + | 0.0831793i | −0.643555 | − | 0.765400i | \(-0.722541\pi\) |
0.529069 | + | 0.848579i | \(0.322541\pi\) | |||||||
\(98\) | 12.2299 | − | 7.06094i | 1.23541 | − | 0.713263i | ||||
\(99\) | 0.854063 | − | 1.46508i | 0.0858366 | − | 0.147246i | ||||
\(100\) | −0.104528 | − | 0.994522i | −0.0104528 | − | 0.0994522i | ||||
\(101\) | −8.22058 | + | 11.3147i | −0.817978 | + | 1.12585i | 0.172065 | + | 0.985086i | \(0.444956\pi\) |
−0.990043 | + | 0.140765i | \(0.955044\pi\) | |||||||
\(102\) | −3.25054 | − | 0.348529i | −0.321851 | − | 0.0345096i | ||||
\(103\) | −2.70848 | + | 3.00807i | −0.266874 | + | 0.296394i | −0.861655 | − | 0.507494i | \(-0.830572\pi\) |
0.594781 | + | 0.803888i | \(0.297239\pi\) | |||||||
\(104\) | 4.43646 | + | 1.97524i | 0.435031 | + | 0.193688i | ||||
\(105\) | 1.67133 | − | 7.78282i | 0.163105 | − | 0.759525i | ||||
\(106\) | −0.0231703 | − | 0.109008i | −0.00225050 | − | 0.0105878i | ||||
\(107\) | −7.04877 | − | 15.8318i | −0.681431 | − | 1.53052i | −0.839658 | − | 0.543116i | \(-0.817245\pi\) |
0.158227 | − | 0.987403i | \(-0.449422\pi\) | |||||||
\(108\) | 1.63671 | − | 4.93165i | 0.157493 | − | 0.474548i | ||||
\(109\) | −0.326699 | + | 1.00548i | −0.0312921 | + | 0.0963071i | −0.965483 | − | 0.260467i | \(-0.916123\pi\) |
0.934191 | + | 0.356774i | \(0.116123\pi\) | |||||||
\(110\) | −0.516409 | + | 0.229920i | −0.0492376 | + | 0.0219220i | ||||
\(111\) | 1.59625 | + | 7.58788i | 0.151510 | + | 0.720210i | ||||
\(112\) | −4.49542 | − | 0.955532i | −0.424778 | − | 0.0902893i | ||||
\(113\) | −3.02132 | + | 6.78599i | −0.284221 | + | 0.638372i | −0.998081 | − | 0.0619167i | \(-0.980279\pi\) |
0.713860 | + | 0.700289i | \(0.246945\pi\) | |||||||
\(114\) | 1.21803 | + | 1.10135i | 0.114079 | + | 0.103150i | ||||
\(115\) | 1.49534 | + | 0.157167i | 0.139441 | + | 0.0146559i | ||||
\(116\) | −2.20993 | − | 1.60561i | −0.205187 | − | 0.149077i | ||||
\(117\) | 14.4954 | − | 1.46217i | 1.34010 | − | 0.135178i | ||||
\(118\) | 1.41677 | − | 2.45392i | 0.130425 | − | 0.225902i | ||||
\(119\) | 4.33724 | + | 7.51232i | 0.397594 | + | 0.688653i | ||||
\(120\) | −1.40339 | + | 1.01514i | −0.128111 | + | 0.0926689i | ||||
\(121\) | −7.14662 | − | 7.93713i | −0.649693 | − | 0.721557i | ||||
\(122\) | −1.33246 | − | 4.10089i | −0.120635 | − | 0.371277i | ||||
\(123\) | −0.0330793 | + | 15.7959i | −0.00298266 | + | 1.42427i | ||||
\(124\) | 5.54817 | + | 0.466750i | 0.498240 | + | 0.0419154i | ||||
\(125\) | 1.00000i | 0.0894427i | ||||||||
\(126\) | −13.1305 | + | 4.20563i | −1.16976 | + | 0.374668i | ||||
\(127\) | 9.12726 | − | 8.21822i | 0.809914 | − | 0.729249i | −0.156100 | − | 0.987741i | \(-0.549892\pi\) |
0.966013 | + | 0.258492i | \(0.0832255\pi\) | |||||||
\(128\) | 0.587785 | + | 0.809017i | 0.0519534 | + | 0.0715077i | ||||
\(129\) | 19.1362 | − | 10.9949i | 1.68485 | − | 0.968050i | ||||
\(130\) | −4.20569 | − | 2.42816i | −0.368863 | − | 0.212963i | ||||
\(131\) | 20.8565 | − | 2.19210i | 1.82224 | − | 0.191525i | 0.869218 | − | 0.494429i | \(-0.164623\pi\) |
0.953021 | + | 0.302904i | \(0.0979560\pi\) | |||||||
\(132\) | 0.790896 | + | 0.577154i | 0.0688386 | + | 0.0502348i | ||||
\(133\) | 0.455454 | − | 4.33336i | 0.0394929 | − | 0.375750i | ||||
\(134\) | 5.18107 | + | 4.66506i | 0.447576 | + | 0.402999i | ||||
\(135\) | −2.14325 | + | 4.73355i | −0.184461 | + | 0.407399i | ||||
\(136\) | 0.392424 | − | 1.84621i | 0.0336501 | − | 0.158311i | ||||
\(137\) | −2.49684 | + | 0.530719i | −0.213319 | + | 0.0453424i | −0.313332 | − | 0.949644i | \(-0.601445\pi\) |
0.100012 | + | 0.994986i | \(0.468112\pi\) | |||||||
\(138\) | −1.05427 | − | 2.38133i | −0.0897452 | − | 0.202713i | ||||
\(139\) | −8.76782 | − | 2.84884i | −0.743677 | − | 0.241635i | −0.0874187 | − | 0.996172i | \(-0.527862\pi\) |
−0.656258 | + | 0.754536i | \(0.727862\pi\) | |||||||
\(140\) | 4.37092 | + | 1.42020i | 0.369410 | + | 0.120029i | ||||
\(141\) | −6.65456 | − | 15.0310i | −0.560415 | − | 1.26584i | ||||
\(142\) | 9.33019 | − | 1.98319i | 0.782972 | − | 0.166426i | ||||
\(143\) | −0.570753 | + | 2.68518i | −0.0477288 | + | 0.224546i | ||||
\(144\) | 2.73550 | + | 1.23168i | 0.227958 | + | 0.102640i | ||||
\(145\) | 2.02999 | + | 1.82782i | 0.168582 | + | 0.151792i | ||||
\(146\) | 0.816018 | − | 7.76389i | 0.0675342 | − | 0.642545i | ||||
\(147\) | 19.7583 | + | 14.4185i | 1.62963 | + | 1.18922i | ||||
\(148\) | −4.45223 | + | 0.467948i | −0.365971 | + | 0.0384651i | ||||
\(149\) | 6.19718 | + | 3.57794i | 0.507693 | + | 0.293116i | 0.731885 | − | 0.681429i | \(-0.238641\pi\) |
−0.224192 | + | 0.974545i | \(0.571974\pi\) | |||||||
\(150\) | 1.50181 | − | 0.862882i | 0.122622 | − | 0.0704540i | ||||
\(151\) | −4.64699 | − | 6.39603i | −0.378167 | − | 0.520502i | 0.576931 | − | 0.816793i | \(-0.304250\pi\) |
−0.955098 | + | 0.296291i | \(0.904250\pi\) | |||||||
\(152\) | −0.704559 | + | 0.634388i | −0.0571473 | + | 0.0514557i | ||||
\(153\) | −1.72720 | − | 5.39252i | −0.139636 | − | 0.435959i | ||||
\(154\) | − | 2.59794i | − | 0.209348i | ||||||
\(155\) | −5.46898 | − | 1.04413i | −0.439279 | − | 0.0838669i | ||||
\(156\) | −0.0176148 | + | 8.41136i | −0.00141031 | + | 0.673448i | ||||
\(157\) | −3.14740 | − | 9.68670i | −0.251190 | − | 0.773083i | −0.994556 | − | 0.104199i | \(-0.966772\pi\) |
0.743367 | − | 0.668884i | \(-0.233228\pi\) | |||||||
\(158\) | −9.39401 | − | 10.4331i | −0.747347 | − | 0.830013i | ||||
\(159\) | 0.156398 | − | 0.113130i | 0.0124031 | − | 0.00897178i | ||||
\(160\) | −0.500000 | − | 0.866025i | −0.0395285 | − | 0.0684653i | ||||
\(161\) | −3.45511 | + | 5.98442i | −0.272301 | + | 0.471639i | ||||
\(162\) | 8.95826 | − | 0.865747i | 0.703828 | − | 0.0680195i | ||||
\(163\) | −6.43301 | − | 4.67385i | −0.503872 | − | 0.366084i | 0.306622 | − | 0.951831i | \(-0.400801\pi\) |
−0.810494 | + | 0.585747i | \(0.800801\pi\) | |||||||
\(164\) | −9.06984 | − | 0.953278i | −0.708235 | − | 0.0744385i | ||||
\(165\) | −0.726234 | − | 0.656663i | −0.0565373 | − | 0.0511212i | ||||
\(166\) | 4.25026 | − | 9.54624i | 0.329884 | − | 0.740932i | ||||
\(167\) | 21.1368 | + | 4.49276i | 1.63561 | + | 0.347660i | 0.931869 | − | 0.362794i | \(-0.118177\pi\) |
0.703743 | + | 0.710454i | \(0.251511\pi\) | |||||||
\(168\) | −1.63872 | − | 7.78975i | −0.126430 | − | 0.600992i | ||||
\(169\) | −9.66873 | + | 4.30480i | −0.743749 | + | 0.331138i | ||||
\(170\) | −0.583256 | + | 1.79508i | −0.0447337 | + | 0.137676i | ||||
\(171\) | −0.890238 | + | 2.70132i | −0.0680782 | + | 0.206575i | ||||
\(172\) | 5.18268 | + | 11.6405i | 0.395176 | + | 0.887579i | ||||
\(173\) | −1.64417 | − | 7.73521i | −0.125004 | − | 0.588097i | −0.995405 | − | 0.0957541i | \(-0.969474\pi\) |
0.870401 | − | 0.492343i | \(-0.163860\pi\) | |||||||
\(174\) | 0.993385 | − | 4.62586i | 0.0753084 | − | 0.350685i | ||||
\(175\) | −4.19852 | − | 1.86930i | −0.317378 | − | 0.141306i | ||||
\(176\) | −0.378246 | + | 0.420085i | −0.0285114 | + | 0.0316651i | ||||
\(177\) | 4.87988 | + | 0.523230i | 0.366794 | + | 0.0393284i | ||||
\(178\) | −1.09240 | + | 1.50357i | −0.0818792 | + | 0.112697i | ||||
\(179\) | −1.86441 | − | 17.7387i | −0.139353 | − | 1.32585i | −0.811029 | − | 0.585006i | \(-0.801092\pi\) |
0.671676 | − | 0.740845i | \(-0.265575\pi\) | |||||||
\(180\) | −2.59177 | − | 1.51087i | −0.193179 | − | 0.112613i | ||||
\(181\) | 3.59547 | − | 2.07585i | 0.267250 | − | 0.154297i | −0.360388 | − | 0.932803i | \(-0.617356\pi\) |
0.627637 | + | 0.778506i | \(0.284022\pi\) | |||||||
\(182\) | 18.0564 | − | 13.1187i | 1.33843 | − | 0.972424i | ||||
\(183\) | 5.56062 | − | 4.98576i | 0.411053 | − | 0.368558i | ||||
\(184\) | 1.42999 | − | 0.464631i | 0.105420 | − | 0.0342530i | ||||
\(185\) | 4.47675 | 0.329138 | ||||||||
\(186\) | 3.15100 | + | 9.11434i | 0.231042 | + | 0.668296i | ||||
\(187\) | 1.06694 | 0.0780225 | ||||||||
\(188\) | 9.02610 | − | 2.93276i | 0.658296 | − | 0.213893i | ||||
\(189\) | −15.8675 | − | 17.8469i | −1.15419 | − | 1.29817i | ||||
\(190\) | 0.767011 | − | 0.557266i | 0.0556448 | − | 0.0404283i | ||||
\(191\) | 14.2033 | − | 8.20029i | 1.02772 | − | 0.593352i | 0.111387 | − | 0.993777i | \(-0.464471\pi\) |
0.916330 | + | 0.400425i | \(0.131137\pi\) | |||||||
\(192\) | −0.869165 | + | 1.49818i | −0.0627266 | + | 0.108122i | ||||
\(193\) | 0.106420 | + | 1.01252i | 0.00766031 | + | 0.0728830i | 0.997684 | − | 0.0680168i | \(-0.0216671\pi\) |
−0.990024 | + | 0.140900i | \(0.955000\pi\) | |||||||
\(194\) | 0.819221 | − | 1.12756i | 0.0588166 | − | 0.0809542i | ||||
\(195\) | 0.896745 | − | 8.36344i | 0.0642172 | − | 0.598918i | ||||
\(196\) | −9.44938 | + | 10.4946i | −0.674956 | + | 0.749614i | ||||
\(197\) | −17.3968 | − | 7.74555i | −1.23947 | − | 0.551847i | −0.320902 | − | 0.947112i | \(-0.603986\pi\) |
−0.918567 | + | 0.395265i | \(0.870653\pi\) | |||||||
\(198\) | −0.359529 | + | 1.65729i | −0.0255506 | + | 0.117778i | ||||
\(199\) | 5.77308 | + | 27.1602i | 0.409242 | + | 1.92533i | 0.377955 | + | 0.925824i | \(0.376627\pi\) |
0.0312875 | + | 0.999510i | \(0.490039\pi\) | |||||||
\(200\) | 0.406737 | + | 0.913545i | 0.0287606 | + | 0.0645974i | ||||
\(201\) | −3.75559 | + | 11.4767i | −0.264899 | + | 0.809503i | ||||
\(202\) | 4.32181 | − | 13.3012i | 0.304082 | − | 0.935868i | ||||
\(203\) | −11.4688 | + | 5.10624i | −0.804952 | + | 0.358388i | ||||
\(204\) | 3.19915 | − | 0.673001i | 0.223985 | − | 0.0471195i | ||||
\(205\) | 8.92051 | + | 1.89611i | 0.623035 | + | 0.132430i | ||||
\(206\) | 1.64637 | − | 3.69781i | 0.114708 | − | 0.257639i | ||||
\(207\) | 3.03228 | − | 3.33945i | 0.210758 | − | 0.232108i | ||||
\(208\) | −4.82971 | − | 0.507623i | −0.334880 | − | 0.0351973i | ||||
\(209\) | −0.433576 | − | 0.315011i | −0.0299911 | − | 0.0217898i | ||||
\(210\) | 0.815493 | + | 7.91837i | 0.0562743 | + | 0.546420i | ||||
\(211\) | −0.124531 | + | 0.215695i | −0.00857310 | + | 0.0148490i | −0.870280 | − | 0.492557i | \(-0.836062\pi\) |
0.861707 | + | 0.507406i | \(0.169396\pi\) | |||||||
\(212\) | 0.0557215 | + | 0.0965124i | 0.00382697 | + | 0.00662850i | ||||
\(213\) | 9.68302 | + | 13.3864i | 0.663470 | + | 0.917221i | ||||
\(214\) | 11.5961 | + | 12.8788i | 0.792692 | + | 0.880373i | ||||
\(215\) | −3.93753 | − | 12.1185i | −0.268537 | − | 0.826472i | ||||
\(216\) | −0.0326446 | + | 5.19605i | −0.00222118 | + | 0.353546i | ||||
\(217\) | 14.6070 | − | 21.0098i | 0.991588 | − | 1.42624i | ||||
\(218\) | − | 1.05722i | − | 0.0716039i | ||||||
\(219\) | 12.8685 | − | 4.15144i | 0.869570 | − | 0.280529i | ||||
\(220\) | 0.420085 | − | 0.378246i | 0.0283221 | − | 0.0255013i | ||||
\(221\) | 5.38769 | + | 7.41551i | 0.362415 | + | 0.498821i | ||||
\(222\) | −3.86291 | − | 6.72324i | −0.259262 | − | 0.451234i | ||||
\(223\) | −13.8417 | − | 7.99152i | −0.926910 | − | 0.535152i | −0.0410768 | − | 0.999156i | \(-0.513079\pi\) |
−0.885833 | + | 0.464004i | \(0.846412\pi\) | |||||||
\(224\) | 4.57068 | − | 0.480398i | 0.305391 | − | 0.0320979i | ||||
\(225\) | 2.41964 | + | 1.77351i | 0.161310 | + | 0.118234i | ||||
\(226\) | 0.776457 | − | 7.38749i | 0.0516491 | − | 0.491409i | ||||
\(227\) | −10.5420 | − | 9.49207i | −0.699698 | − | 0.630011i | 0.240496 | − | 0.970650i | \(-0.422690\pi\) |
−0.940194 | + | 0.340639i | \(0.889356\pi\) | |||||||
\(228\) | −1.49875 | − | 0.671050i | −0.0992570 | − | 0.0444414i | ||||
\(229\) | 5.03234 | − | 23.6753i | 0.332547 | − | 1.56451i | −0.420966 | − | 0.907076i | \(-0.638309\pi\) |
0.753513 | − | 0.657433i | \(-0.228358\pi\) | |||||||
\(230\) | −1.47072 | + | 0.312611i | −0.0969764 | + | 0.0206130i | ||||
\(231\) | 4.11457 | − | 1.82161i | 0.270719 | − | 0.119853i | ||||
\(232\) | 2.59793 | + | 0.844119i | 0.170563 | + | 0.0554191i | ||||
\(233\) | 20.1250 | + | 6.53900i | 1.31843 | + | 0.428384i | 0.881956 | − | 0.471332i | \(-0.156227\pi\) |
0.436475 | + | 0.899716i | \(0.356227\pi\) | |||||||
\(234\) | −13.3341 | + | 5.86992i | −0.871676 | + | 0.383729i | ||||
\(235\) | −9.28321 | + | 1.97321i | −0.605570 | + | 0.128718i | ||||
\(236\) | −0.589128 | + | 2.77163i | −0.0383489 | + | 0.180418i | ||||
\(237\) | 9.93690 | − | 22.1934i | 0.645471 | − | 1.44162i | ||||
\(238\) | −6.44640 | − | 5.80436i | −0.417858 | − | 0.376241i | ||||
\(239\) | 1.38479 | − | 13.1754i | 0.0895746 | − | 0.852245i | −0.853819 | − | 0.520570i | \(-0.825720\pi\) |
0.943394 | − | 0.331675i | \(-0.107614\pi\) | |||||||
\(240\) | 1.02101 | − | 1.39912i | 0.0659057 | − | 0.0903130i | ||||
\(241\) | 18.1386 | − | 1.90645i | 1.16841 | − | 0.122805i | 0.499614 | − | 0.866248i | \(-0.333475\pi\) |
0.668799 | + | 0.743443i | \(0.266809\pi\) | |||||||
\(242\) | 9.24955 | + | 5.34023i | 0.594584 | + | 0.343283i | ||||
\(243\) | 7.65245 | + | 13.5809i | 0.490905 | + | 0.871213i | ||||
\(244\) | 2.53449 | + | 3.48843i | 0.162254 | + | 0.223324i | ||||
\(245\) | 10.4946 | − | 9.44938i | 0.670476 | − | 0.603699i | ||||
\(246\) | −4.84975 | − | 15.0330i | −0.309209 | − | 0.958471i | ||||
\(247\) | − | 4.60416i | − | 0.292956i | ||||||
\(248\) | −5.42085 | + | 1.27057i | −0.344225 | + | 0.0806814i | ||||
\(249\) | 18.0993 | + | 0.0379030i | 1.14700 | + | 0.00240201i | ||||
\(250\) | −0.309017 | − | 0.951057i | −0.0195440 | − | 0.0601501i | ||||
\(251\) | −0.111052 | − | 0.123336i | −0.00700953 | − | 0.00778488i | 0.739630 | − | 0.673014i | \(-0.235001\pi\) |
−0.746639 | + | 0.665229i | \(0.768334\pi\) | |||||||
\(252\) | 11.1882 | − | 8.05734i | 0.704792 | − | 0.507565i | ||||
\(253\) | 0.424970 | + | 0.736070i | 0.0267177 | + | 0.0462764i | ||||
\(254\) | −6.14097 | + | 10.6365i | −0.385319 | + | 0.667392i | ||||
\(255\) | −3.25197 | + | 0.334912i | −0.203646 | + | 0.0209730i | ||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | −10.0097 | − | 1.05206i | −0.624385 | − | 0.0656255i | −0.212948 | − | 0.977064i | \(-0.568306\pi\) |
−0.411437 | + | 0.911438i | \(0.634973\pi\) | |||||||
\(258\) | −14.8020 | + | 16.3702i | −0.921533 | + | 1.01917i | ||||
\(259\) | −8.36841 | + | 18.7958i | −0.519988 | + | 1.16791i | ||||
\(260\) | 4.75019 | + | 1.00968i | 0.294594 | + | 0.0626179i | ||||
\(261\) | 8.02287 | − | 1.67022i | 0.496603 | − | 0.103384i | ||||
\(262\) | −19.1583 | + | 8.52982i | −1.18360 | + | 0.526974i | ||||
\(263\) | −1.41186 | + | 4.34527i | −0.0870592 | + | 0.267941i | −0.985103 | − | 0.171965i | \(-0.944988\pi\) |
0.898044 | + | 0.439906i | \(0.144988\pi\) | |||||||
\(264\) | −0.930537 | − | 0.304506i | −0.0572706 | − | 0.0187410i | ||||
\(265\) | −0.0453279 | − | 0.101808i | −0.00278447 | − | 0.00625403i | ||||
\(266\) | 0.905919 | + | 4.26201i | 0.0555454 | + | 0.261321i | ||||
\(267\) | −3.14728 | − | 0.675867i | −0.192610 | − | 0.0413624i | ||||
\(268\) | −6.36907 | − | 2.83569i | −0.389053 | − | 0.173218i | ||||
\(269\) | −4.45749 | + | 4.95054i | −0.271778 | + | 0.301840i | −0.863548 | − | 0.504267i | \(-0.831763\pi\) |
0.591770 | + | 0.806107i | \(0.298429\pi\) | |||||||
\(270\) | 0.575601 | − | 5.16417i | 0.0350300 | − | 0.314282i | ||||
\(271\) | 3.64164 | − | 5.01229i | 0.221214 | − | 0.304475i | −0.683957 | − | 0.729522i | \(-0.739743\pi\) |
0.905171 | + | 0.425047i | \(0.139743\pi\) | |||||||
\(272\) | 0.197293 | + | 1.87712i | 0.0119626 | + | 0.113817i | ||||
\(273\) | 33.4378 | + | 19.3988i | 2.02375 | + | 1.17407i | ||||
\(274\) | 2.21063 | − | 1.27631i | 0.133549 | − | 0.0771046i | ||||
\(275\) | −0.457321 | + | 0.332263i | −0.0275775 | + | 0.0200362i | ||||
\(276\) | 1.73854 | + | 1.93900i | 0.104648 | + | 0.116714i | ||||
\(277\) | 20.4613 | − | 6.64829i | 1.22940 | − | 0.399457i | 0.378905 | − | 0.925436i | \(-0.376301\pi\) |
0.850498 | + | 0.525979i | \(0.176301\pi\) | |||||||
\(278\) | 9.21903 | 0.552921 | ||||||||
\(279\) | −12.2257 | + | 11.3812i | −0.731934 | + | 0.681376i | ||||
\(280\) | −4.59585 | −0.274655 | ||||||||
\(281\) | 13.2811 | − | 4.31528i | 0.792282 | − | 0.257428i | 0.115206 | − | 0.993342i | \(-0.463247\pi\) |
0.677075 | + | 0.735914i | \(0.263247\pi\) | |||||||
\(282\) | 10.9737 | + | 12.2390i | 0.653475 | + | 0.728821i | ||||
\(283\) | −10.6337 | + | 7.72580i | −0.632105 | + | 0.459251i | −0.857129 | − | 0.515102i | \(-0.827754\pi\) |
0.225024 | + | 0.974353i | \(0.427754\pi\) | |||||||
\(284\) | −8.26070 | + | 4.76932i | −0.490182 | + | 0.283007i | ||||
\(285\) | 1.42039 | + | 0.824036i | 0.0841369 | + | 0.0488117i | ||||
\(286\) | −0.286949 | − | 2.73013i | −0.0169676 | − | 0.161436i | ||||
\(287\) | −24.6360 | + | 33.9085i | −1.45422 | + | 2.00156i | ||||
\(288\) | −2.98223 | − | 0.326079i | −0.175729 | − | 0.0192144i | ||||
\(289\) | −8.99145 | + | 9.98601i | −0.528909 | + | 0.587412i | ||||
\(290\) | −2.49547 | − | 1.11105i | −0.146539 | − | 0.0652433i | ||||
\(291\) | 2.36022 | + | 0.506849i | 0.138359 | + | 0.0297120i | ||||
\(292\) | 1.62310 | + | 7.63607i | 0.0949845 | + | 0.446867i | ||||
\(293\) | 4.84034 | + | 10.8716i | 0.282776 | + | 0.635125i | 0.997962 | − | 0.0638088i | \(-0.0203248\pi\) |
−0.715186 | + | 0.698934i | \(0.753658\pi\) | |||||||
\(294\) | −23.2468 | − | 7.60720i | −1.35578 | − | 0.443661i | ||||
\(295\) | 0.875614 | − | 2.69486i | 0.0509802 | − | 0.156901i | ||||
\(296\) | 4.08972 | − | 1.82086i | 0.237710 | − | 0.105835i | ||||
\(297\) | −2.87687 | + | 0.592632i | −0.166933 | + | 0.0343880i | ||||
\(298\) | −6.99951 | − | 1.48779i | −0.405471 | − | 0.0861855i | ||||
\(299\) | −2.96992 | + | 6.67056i | −0.171755 | + | 0.385768i | ||||
\(300\) | −1.16166 | + | 1.28473i | −0.0670685 | + | 0.0741742i | ||||
\(301\) | 58.2401 | + | 6.12128i | 3.35690 | + | 0.352825i | ||||
\(302\) | 6.39603 | + | 4.64699i | 0.368050 | + | 0.267404i | ||||
\(303\) | 24.0965 | − | 2.48163i | 1.38431 | − | 0.142566i | ||||
\(304\) | 0.474039 | − | 0.821060i | 0.0271880 | − | 0.0470910i | ||||
\(305\) | −2.15597 | − | 3.73424i | −0.123450 | − | 0.213822i | ||||
\(306\) | 3.30904 | + | 4.59486i | 0.189165 | + | 0.262670i | ||||
\(307\) | 2.14205 | + | 2.37898i | 0.122253 | + | 0.135776i | 0.801164 | − | 0.598445i | \(-0.204214\pi\) |
−0.678911 | + | 0.734221i | \(0.737548\pi\) | |||||||
\(308\) | 0.802808 | + | 2.47079i | 0.0457443 | + | 0.140786i | ||||
\(309\) | 7.01090 | + | 0.0146820i | 0.398836 | + | 0.000835230i | ||||
\(310\) | 5.52397 | − | 0.696978i | 0.313740 | − | 0.0395857i | ||||
\(311\) | − | 10.7395i | − | 0.608980i | −0.952516 | − | 0.304490i | \(-0.901514\pi\) | ||
0.952516 | − | 0.304490i | \(-0.0984860\pi\) | |||||||
\(312\) | −2.58250 | − | 8.00512i | −0.146205 | − | 0.453201i | ||||
\(313\) | −9.60134 | + | 8.64508i | −0.542700 | + | 0.488649i | −0.894279 | − | 0.447509i | \(-0.852311\pi\) |
0.351580 | + | 0.936158i | \(0.385645\pi\) | |||||||
\(314\) | 5.98671 | + | 8.24000i | 0.337850 | + | 0.465010i | ||||
\(315\) | −11.9691 | + | 6.84371i | −0.674385 | + | 0.385599i | ||||
\(316\) | 12.1582 | + | 7.01956i | 0.683954 | + | 0.394881i | ||||
\(317\) | −29.2721 | + | 3.07662i | −1.64408 | + | 0.172800i | −0.880874 | − | 0.473350i | \(-0.843044\pi\) |
−0.763210 | + | 0.646151i | \(0.776378\pi\) | |||||||
\(318\) | −0.113784 | + | 0.155922i | −0.00638069 | + | 0.00874370i | ||||
\(319\) | −0.161406 | + | 1.53567i | −0.00903699 | + | 0.0859812i | ||||
\(320\) | 0.743145 | + | 0.669131i | 0.0415431 | + | 0.0374055i | ||||
\(321\) | −12.2662 | + | 27.3959i | −0.684634 | + | 1.52909i | ||||
\(322\) | 1.43672 | − | 6.75921i | 0.0800650 | − | 0.376676i | ||||
\(323\) | −1.75035 | + | 0.372049i | −0.0973922 | + | 0.0207014i | ||||
\(324\) | −8.25228 | + | 3.59163i | −0.458460 | + | 0.199535i | ||||
\(325\) | −4.61863 | − | 1.50068i | −0.256195 | − | 0.0832429i | ||||
\(326\) | 7.56245 | + | 2.45719i | 0.418845 | + | 0.136091i | ||||
\(327\) | 1.67440 | − | 0.741294i | 0.0925947 | − | 0.0409937i | ||||
\(328\) | 8.92051 | − | 1.89611i | 0.492553 | − | 0.104695i | ||||
\(329\) | 9.06858 | − | 42.6643i | 0.499967 | − | 2.35216i | ||||
\(330\) | 0.893610 | + | 0.400105i | 0.0491916 | + | 0.0220251i | ||||
\(331\) | 14.5635 | + | 13.1131i | 0.800485 | + | 0.720760i | 0.964035 | − | 0.265775i | \(-0.0856280\pi\) |
−0.163550 | + | 0.986535i | \(0.552295\pi\) | |||||||
\(332\) | −1.09229 | + | 10.3924i | −0.0599471 | + | 0.570358i | ||||
\(333\) | 7.93955 | − | 10.8322i | 0.435085 | − | 0.593598i | ||||
\(334\) | −21.4906 | + | 2.25875i | −1.17591 | + | 0.123593i | ||||
\(335\) | 6.03777 | + | 3.48591i | 0.329879 | + | 0.190456i | ||||
\(336\) | 3.96568 | + | 6.90210i | 0.216346 | + | 0.376541i | ||||
\(337\) | −10.8198 | − | 14.8922i | −0.589393 | − | 0.811229i | 0.405293 | − | 0.914187i | \(-0.367169\pi\) |
−0.994686 | + | 0.102957i | \(0.967169\pi\) | |||||||
\(338\) | 7.86526 | − | 7.08191i | 0.427814 | − | 0.385205i | ||||
\(339\) | 12.2446 | − | 3.95018i | 0.665035 | − | 0.214544i | ||||
\(340\) | − | 1.88746i | − | 0.102362i | ||||||
\(341\) | −1.33964 | − | 2.84801i | −0.0725454 | − | 0.154228i | ||||
\(342\) | 0.0119126 | − | 2.84421i | 0.000644157 | − | 0.153797i | ||||
\(343\) | 10.1145 | + | 31.1292i | 0.546130 | + | 1.68082i | ||||
\(344\) | −8.52613 | − | 9.46923i | −0.459698 | − | 0.510547i | ||||
\(345\) | −1.52634 | − | 2.11010i | −0.0821752 | − | 0.113604i | ||||
\(346\) | 3.95401 | + | 6.84855i | 0.212569 | + | 0.368180i | ||||
\(347\) | 6.62158 | − | 11.4689i | 0.355465 | − | 0.615683i | −0.631733 | − | 0.775186i | \(-0.717656\pi\) |
0.987197 | + | 0.159503i | \(0.0509892\pi\) | |||||||
\(348\) | 0.484702 | + | 4.70642i | 0.0259828 | + | 0.252291i | ||||
\(349\) | −15.6867 | − | 11.3970i | −0.839688 | − | 0.610069i | 0.0825957 | − | 0.996583i | \(-0.473679\pi\) |
−0.922283 | + | 0.386514i | \(0.873679\pi\) | |||||||
\(350\) | 4.57068 | + | 0.480398i | 0.244313 | + | 0.0256783i | ||||
\(351\) | −18.6462 | − | 17.0024i | −0.995259 | − | 0.907521i | ||||
\(352\) | 0.229920 | − | 0.516409i | 0.0122548 | − | 0.0275247i | ||||
\(353\) | −19.0711 | − | 4.05369i | −1.01505 | − | 0.215756i | −0.329792 | − | 0.944054i | \(-0.606979\pi\) |
−0.685261 | + | 0.728298i | \(0.740312\pi\) | |||||||
\(354\) | −4.80273 | + | 1.01034i | −0.255262 | + | 0.0536991i | ||||
\(355\) | 8.71398 | − | 3.87971i | 0.462490 | − | 0.205914i | ||||
\(356\) | 0.574311 | − | 1.76755i | 0.0304384 | − | 0.0936798i | ||||
\(357\) | 4.67278 | − | 14.2795i | 0.247310 | − | 0.755753i | ||||
\(358\) | 7.25471 | + | 16.2944i | 0.383423 | + | 0.861183i | ||||
\(359\) | −2.44588 | − | 11.5070i | −0.129089 | − | 0.607315i | −0.994364 | − | 0.106018i | \(-0.966190\pi\) |
0.865275 | − | 0.501297i | \(-0.167144\pi\) | |||||||
\(360\) | 2.93180 | + | 0.636020i | 0.154520 | + | 0.0335212i | ||||
\(361\) | −16.5362 | − | 7.36240i | −0.870327 | − | 0.387495i | ||||
\(362\) | −2.77803 | + | 3.08531i | −0.146010 | + | 0.162160i | ||||
\(363\) | −1.97221 | + | 18.3937i | −0.103514 | + | 0.965417i | ||||
\(364\) | −13.1187 | + | 18.0564i | −0.687608 | + | 0.946411i | ||||
\(365\) | −0.816018 | − | 7.76389i | −0.0427123 | − | 0.406381i | ||||
\(366\) | −3.74778 | + | 6.46007i | −0.195900 | + | 0.337673i | ||||
\(367\) | −23.6599 | + | 13.6600i | −1.23504 | + | 0.713048i | −0.968075 | − | 0.250659i | \(-0.919353\pi\) |
−0.266961 | + | 0.963707i | \(0.586019\pi\) | |||||||
\(368\) | −1.21642 | + | 0.883780i | −0.0634102 | + | 0.0460702i | ||||
\(369\) | 20.4085 | − | 18.2217i | 1.06242 | − | 0.948583i | ||||
\(370\) | −4.25765 | + | 1.38339i | −0.221344 | + | 0.0719192i | ||||
\(371\) | 0.512176 | 0.0265908 | ||||||||
\(372\) | −5.81326 | − | 7.69454i | −0.301404 | − | 0.398943i | ||||
\(373\) | −20.8084 | −1.07742 | −0.538709 | − | 0.842492i | \(-0.681088\pi\) | ||||
−0.538709 | + | 0.842492i | \(0.681088\pi\) | |||||||
\(374\) | −1.01472 | + | 0.329703i | −0.0524700 | + | 0.0170485i | ||||
\(375\) | 1.28959 | − | 1.15627i | 0.0665941 | − | 0.0597095i | ||||
\(376\) | −7.67806 | + | 5.57844i | −0.395966 | + | 0.287686i | ||||
\(377\) | −11.4884 | + | 6.63281i | −0.591681 | + | 0.341607i | ||||
\(378\) | 20.6059 | + | 12.0701i | 1.05985 | + | 0.620818i | ||||
\(379\) | −3.54880 | − | 33.7646i | −0.182290 | − | 1.73437i | −0.578037 | − | 0.816011i | \(-0.696181\pi\) |
0.395747 | − | 0.918359i | \(-0.370486\pi\) | |||||||
\(380\) | −0.557266 | + | 0.767011i | −0.0285872 | + | 0.0393468i | ||||
\(381\) | −21.1517 | − | 2.26793i | −1.08364 | − | 0.116190i | ||||
\(382\) | −10.9741 | + | 12.1880i | −0.561486 | + | 0.623593i | ||||
\(383\) | −15.7351 | − | 7.00570i | −0.804024 | − | 0.357974i | −0.0367747 | − | 0.999324i | \(-0.511708\pi\) |
−0.767249 | + | 0.641349i | \(0.778375\pi\) | |||||||
\(384\) | 0.363661 | − | 1.69344i | 0.0185580 | − | 0.0864182i | ||||
\(385\) | −0.540143 | − | 2.54117i | −0.0275282 | − | 0.129510i | ||||
\(386\) | −0.414099 | − | 0.930081i | −0.0210771 | − | 0.0473399i | ||||
\(387\) | −36.3056 | − | 11.9647i | −1.84552 | − | 0.608202i | ||||
\(388\) | −0.430690 | + | 1.32553i | −0.0218650 | + | 0.0672935i | ||||
\(389\) | −30.6031 | + | 13.6254i | −1.55164 | + | 0.690834i | −0.990579 | − | 0.136941i | \(-0.956273\pi\) |
−0.561060 | + | 0.827775i | \(0.689606\pi\) | |||||||
\(390\) | 1.73159 | + | 8.23121i | 0.0876825 | + | 0.416804i | ||||
\(391\) | 2.77592 | + | 0.590040i | 0.140384 | + | 0.0298396i | ||||
\(392\) | 5.74389 | − | 12.9010i | 0.290110 | − | 0.651598i | ||||
\(393\) | −26.9426 | − | 24.3616i | −1.35908 | − | 1.22888i | ||||
\(394\) | 18.9388 | + | 1.99055i | 0.954124 | + | 0.100283i | ||||
\(395\) | −11.3579 | − | 8.25199i | −0.571477 | − | 0.415203i | ||||
\(396\) | −0.170198 | − | 1.68728i | −0.00855277 | − | 0.0847888i | ||||
\(397\) | 18.2364 | − | 31.5864i | 0.915260 | − | 1.58528i | 0.108740 | − | 0.994070i | \(-0.465318\pi\) |
0.806520 | − | 0.591207i | \(-0.201348\pi\) | |||||||
\(398\) | −13.8835 | − | 24.0469i | −0.695916 | − | 1.20536i | ||||
\(399\) | −6.11488 | + | 4.42318i | −0.306127 | + | 0.221436i | ||||
\(400\) | −0.669131 | − | 0.743145i | −0.0334565 | − | 0.0371572i | ||||
\(401\) | 7.41431 | + | 22.8189i | 0.370253 | + | 1.13952i | 0.946626 | + | 0.322335i | \(0.104468\pi\) |
−0.576373 | + | 0.817187i | \(0.695532\pi\) | |||||||
\(402\) | 0.0252882 | − | 12.0755i | 0.00126126 | − | 0.602272i | ||||
\(403\) | 13.0297 | − | 23.6923i | 0.649054 | − | 1.18020i | ||||
\(404\) | 13.9857i | 0.695814i | ||||||||
\(405\) | 8.58250 | − | 2.70936i | 0.426468 | − | 0.134629i | ||||
\(406\) | 9.32956 | − | 8.40037i | 0.463018 | − | 0.416903i | ||||
\(407\) | 1.48746 | + | 2.04731i | 0.0737306 | + | 0.101482i | ||||
\(408\) | −2.83460 | + | 1.62865i | −0.140334 | + | 0.0806304i | ||||
\(409\) | −6.67674 | − | 3.85482i | −0.330143 | − | 0.190608i | 0.325761 | − | 0.945452i | \(-0.394379\pi\) |
−0.655905 | + | 0.754844i | \(0.727713\pi\) | |||||||
\(410\) | −9.06984 | + | 0.953278i | −0.447927 | + | 0.0470791i | ||||
\(411\) | 3.57143 | + | 2.60624i | 0.176166 | + | 0.128556i | ||||
\(412\) | −0.423106 | + | 4.02558i | −0.0208449 | + | 0.198326i | ||||
\(413\) | 9.67766 | + | 8.71380i | 0.476206 | + | 0.428778i | ||||
\(414\) | −1.85192 | + | 4.11304i | −0.0910170 | + | 0.202145i | ||||
\(415\) | 2.17261 | − | 10.2213i | 0.106649 | − | 0.501745i | ||||
\(416\) | 4.75019 | − | 1.00968i | 0.232897 | − | 0.0495038i | ||||
\(417\) | 6.46414 | + | 14.6009i | 0.316550 | + | 0.715010i | ||||
\(418\) | 0.509699 | + | 0.165611i | 0.0249302 | + | 0.00810031i | ||||
\(419\) | −34.7375 | − | 11.2869i | −1.69704 | − | 0.551401i | −0.708945 | − | 0.705264i | \(-0.750828\pi\) |
−0.988092 | + | 0.153863i | \(0.950828\pi\) | |||||||
\(420\) | −3.22249 | − | 7.27882i | −0.157241 | − | 0.355170i | ||||
\(421\) | −32.9456 | + | 7.00280i | −1.60567 | + | 0.341296i | −0.921606 | − | 0.388127i | \(-0.873122\pi\) |
−0.684063 | + | 0.729422i | \(0.739789\pi\) | |||||||
\(422\) | 0.0517831 | − | 0.243620i | 0.00252076 | − | 0.0118592i | ||||
\(423\) | −11.6894 | + | 25.9616i | −0.568357 | + | 1.26229i | ||||
\(424\) | −0.0828183 | − | 0.0745699i | −0.00402201 | − | 0.00362143i | ||||
\(425\) | −0.197293 | + | 1.87712i | −0.00957012 | + | 0.0910536i | ||||
\(426\) | −13.3457 | − | 9.73900i | −0.646603 | − | 0.471856i | ||||
\(427\) | 19.7085 | − | 2.07144i | 0.953759 | − | 0.100244i | ||||
\(428\) | −15.0083 | − | 8.66503i | −0.725453 | − | 0.418840i | ||||
\(429\) | 4.12273 | − | 2.36876i | 0.199047 | − | 0.114365i | ||||
\(430\) | 7.48962 | + | 10.3086i | 0.361182 | + | 0.497124i | ||||
\(431\) | 7.96826 | − | 7.17466i | 0.383818 | − | 0.345591i | −0.454526 | − | 0.890734i | \(-0.650191\pi\) |
0.838343 | + | 0.545143i | \(0.183525\pi\) | |||||||
\(432\) | −1.57462 | − | 4.95182i | −0.0757590 | − | 0.238245i | ||||
\(433\) | − | 3.58072i | − | 0.172078i | −0.996292 | − | 0.0860392i | \(-0.972579\pi\) | ||
0.996292 | − | 0.0860392i | \(-0.0274210\pi\) | |||||||
\(434\) | −7.39969 | + | 24.4954i | −0.355196 | + | 1.17582i | ||||
\(435\) | 0.00990815 | − | 4.73131i | 0.000475059 | − | 0.226849i | ||||
\(436\) | 0.326699 | + | 1.00548i | 0.0156460 | + | 0.0481535i | ||||
\(437\) | −0.953851 | − | 1.05936i | −0.0456289 | − | 0.0506760i | ||||
\(438\) | −10.9558 | + | 7.92483i | −0.523487 | + | 0.378663i | ||||
\(439\) | 14.5806 | + | 25.2544i | 0.695895 | + | 1.20533i | 0.969878 | + | 0.243591i | \(0.0783256\pi\) |
−0.273983 | + | 0.961735i | \(0.588341\pi\) | |||||||
\(440\) | −0.282640 | + | 0.489546i | −0.0134743 | + | 0.0233382i | ||||
\(441\) | −4.25191 | − | 42.1517i | −0.202472 | − | 2.00723i | ||||
\(442\) | −7.41551 | − | 5.38769i | −0.352720 | − | 0.256266i | ||||
\(443\) | 17.7222 | + | 1.86268i | 0.842007 | + | 0.0884985i | 0.515704 | − | 0.856767i | \(-0.327530\pi\) |
0.326303 | + | 0.945265i | \(0.394197\pi\) | |||||||
\(444\) | 5.75144 | + | 5.20047i | 0.272951 | + | 0.246803i | ||||
\(445\) | −0.755924 | + | 1.69783i | −0.0358342 | + | 0.0804850i | ||||
\(446\) | 15.6338 | + | 3.32306i | 0.740280 | + | 0.157351i | ||||
\(447\) | −2.55154 | − | 12.1289i | −0.120684 | − | 0.573676i | ||||
\(448\) | −4.19852 | + | 1.86930i | −0.198362 | + | 0.0883162i | ||||
\(449\) | 2.87099 | − | 8.83599i | 0.135490 | − | 0.416996i | −0.860176 | − | 0.509998i | \(-0.829646\pi\) |
0.995666 | + | 0.0930018i | \(0.0296462\pi\) | |||||||
\(450\) | −2.84926 | − | 0.938993i | −0.134315 | − | 0.0442645i | ||||
\(451\) | 2.09682 | + | 4.70954i | 0.0987355 | + | 0.221764i | ||||
\(452\) | 1.54441 | + | 7.26586i | 0.0726428 | + | 0.341757i | ||||
\(453\) | −2.87508 | + | 13.3883i | −0.135083 | + | 0.629035i | ||||
\(454\) | 12.9593 | + | 5.76983i | 0.608208 | + | 0.270792i | ||||
\(455\) | 14.9343 | − | 16.5862i | 0.700129 | − | 0.777572i | ||||
\(456\) | 1.63276 | + | 0.175068i | 0.0764610 | + | 0.00819830i | ||||
\(457\) | 6.37627 | − | 8.77618i | 0.298269 | − | 0.410532i | −0.633409 | − | 0.773817i | \(-0.718345\pi\) |
0.931678 | + | 0.363285i | \(0.118345\pi\) | |||||||
\(458\) | 2.53003 | + | 24.0716i | 0.118221 | + | 1.12479i | ||||
\(459\) | −4.95702 | + | 8.46258i | −0.231374 | + | 0.395000i | ||||
\(460\) | 1.30214 | − | 0.751788i | 0.0607124 | − | 0.0350523i | ||||
\(461\) | −19.5268 | + | 14.1871i | −0.909454 | + | 0.660757i | −0.940877 | − | 0.338749i | \(-0.889996\pi\) |
0.0314228 | + | 0.999506i | \(0.489996\pi\) | |||||||
\(462\) | −3.35028 | + | 3.00392i | −0.155869 | + | 0.139755i | ||||
\(463\) | −25.6083 | + | 8.32064i | −1.19012 | + | 0.386693i | −0.836117 | − | 0.548552i | \(-0.815179\pi\) |
−0.354002 | + | 0.935245i | \(0.615179\pi\) | |||||||
\(464\) | −2.73163 | −0.126813 | ||||||||
\(465\) | 4.97712 | + | 8.26004i | 0.230808 | + | 0.383050i | ||||
\(466\) | −21.1606 | −0.980248 | ||||||||
\(467\) | −19.3442 | + | 6.28531i | −0.895142 | + | 0.290849i | −0.720230 | − | 0.693735i | \(-0.755964\pi\) |
−0.174912 | + | 0.984584i | \(0.555964\pi\) | |||||||
\(468\) | 10.8676 | − | 9.70309i | 0.502353 | − | 0.448525i | ||||
\(469\) | −25.9221 | + | 18.8335i | −1.19697 | + | 0.869650i | ||||
\(470\) | 8.21911 | − | 4.74530i | 0.379119 | − | 0.218885i | ||||
\(471\) | −8.85262 | + | 15.2593i | −0.407907 | + | 0.703111i | ||||
\(472\) | −0.296186 | − | 2.81802i | −0.0136331 | − | 0.129710i | ||||
\(473\) | 4.23373 | − | 5.82723i | 0.194667 | − | 0.267936i | ||||
\(474\) | −2.59240 | + | 24.1779i | −0.119073 | + | 1.11053i | ||||
\(475\) | 0.634388 | − | 0.704559i | 0.0291077 | − | 0.0323274i | ||||
\(476\) | 7.92453 | + | 3.52823i | 0.363220 | + | 0.161716i | ||||
\(477\) | −0.326729 | − | 0.0708799i | −0.0149599 | − | 0.00324537i | ||||
\(478\) | 2.75441 | + | 12.9585i | 0.125984 | + | 0.592706i | ||||
\(479\) | 8.76637 | + | 19.6896i | 0.400546 | + | 0.899640i | 0.995400 | + | 0.0958067i | \(0.0305431\pi\) |
−0.594854 | + | 0.803834i | \(0.702790\pi\) | |||||||
\(480\) | −0.538682 | + | 1.64615i | −0.0245873 | + | 0.0751363i | ||||
\(481\) | −6.71819 | + | 20.6765i | −0.306323 | + | 0.942765i | ||||
\(482\) | −16.6618 | + | 7.41829i | −0.758922 | + | 0.337894i | ||||
\(483\) | 11.7125 | − | 2.46394i | 0.532937 | − | 0.112113i | ||||
\(484\) | −10.4471 | − | 2.22059i | −0.474867 | − | 0.100936i | ||||
\(485\) | 0.566886 | − | 1.27325i | 0.0257410 | − | 0.0578152i | ||||
\(486\) | −11.4746 | − | 10.5514i | −0.520500 | − | 0.478623i | ||||
\(487\) | −6.28113 | − | 0.660174i | −0.284625 | − | 0.0299153i | −0.0388599 | − | 0.999245i | \(-0.512373\pi\) |
−0.245765 | + | 0.969329i | \(0.579039\pi\) | |||||||
\(488\) | −3.48843 | − | 2.53449i | −0.157914 | − | 0.114731i | ||||
\(489\) | 1.41094 | + | 13.7002i | 0.0638051 | + | 0.619543i | ||||
\(490\) | −7.06094 | + | 12.2299i | −0.318981 | + | 0.552491i | ||||
\(491\) | 2.64454 | + | 4.58048i | 0.119347 | + | 0.206714i | 0.919509 | − | 0.393069i | \(-0.128587\pi\) |
−0.800162 | + | 0.599784i | \(0.795253\pi\) | |||||||
\(492\) | 9.25784 | + | 12.7986i | 0.417376 | + | 0.577006i | ||||
\(493\) | 3.44992 | + | 3.83153i | 0.155377 | + | 0.172563i | ||||
\(494\) | 1.42276 | + | 4.37882i | 0.0640132 | + | 0.197012i | ||||
\(495\) | −0.00710271 | + | 1.69582i | −0.000319243 | + | 0.0762216i | ||||
\(496\) | 4.76291 | − | 2.88352i | 0.213861 | − | 0.129474i | ||||
\(497\) | 43.8382i | 1.96641i | ||||||||
\(498\) | −17.2252 | + | 5.55695i | −0.771879 | + | 0.249013i | ||||
\(499\) | 25.4800 | − | 22.9423i | 1.14064 | − | 1.02704i | 0.141331 | − | 0.989962i | \(-0.454862\pi\) |
0.999312 | − | 0.0370775i | \(-0.0118048\pi\) | |||||||
\(500\) | 0.587785 | + | 0.809017i | 0.0262866 | + | 0.0361803i | ||||
\(501\) | −18.6460 | − | 32.4526i | −0.833042 | − | 1.44987i | ||||
\(502\) | 0.143729 | + | 0.0829822i | 0.00641496 | + | 0.00370368i | ||||
\(503\) | 12.1005 | − | 1.27181i | 0.539534 | − | 0.0567073i | 0.169157 | − | 0.985589i | \(-0.445895\pi\) |
0.370376 | + | 0.928882i | \(0.379229\pi\) | |||||||
\(504\) | −8.15077 | + | 11.1203i | −0.363064 | + | 0.495339i | ||||
\(505\) | 1.46190 | − | 13.9091i | 0.0650538 | − | 0.618946i | ||||
\(506\) | −0.631629 | − | 0.568721i | −0.0280793 | − | 0.0252828i | ||||
\(507\) | 16.7311 | + | 7.49118i | 0.743054 | + | 0.332695i | ||||
\(508\) | 2.55356 | − | 12.0136i | 0.113296 | − | 0.533015i | ||||
\(509\) | −11.4546 | + | 2.43475i | −0.507716 | + | 0.107918i | −0.454646 | − | 0.890672i | \(-0.650234\pi\) |
−0.0530703 | + | 0.998591i | \(0.516901\pi\) | |||||||
\(510\) | 2.98932 | − | 1.32343i | 0.132369 | − | 0.0586027i | ||||
\(511\) | 34.1223 | + | 11.0870i | 1.50948 | + | 0.490460i | ||||
\(512\) | 0.951057 | + | 0.309017i | 0.0420312 | + | 0.0136568i | ||||
\(513\) | 4.51295 | − | 1.97542i | 0.199252 | − | 0.0872168i | ||||
\(514\) | 9.84485 | − | 2.09259i | 0.434238 | − | 0.0923000i | ||||
\(515\) | 0.841576 | − | 3.95930i | 0.0370843 | − | 0.174468i | ||||
\(516\) | 9.01887 | − | 20.1431i | 0.397034 | − | 0.886750i | ||||
\(517\) | −3.98686 | − | 3.58978i | −0.175342 | − | 0.157878i | ||||
\(518\) | 2.15062 | − | 20.4618i | 0.0944929 | − | 0.899040i | ||||
\(519\) | −8.07414 | + | 11.0643i | −0.354415 | + | 0.485669i | ||||
\(520\) | −4.82971 | + | 0.507623i | −0.211797 | + | 0.0222607i | ||||
\(521\) | 25.8959 | + | 14.9510i | 1.13452 | + | 0.655015i | 0.945068 | − | 0.326874i | \(-0.105995\pi\) |
0.189452 | + | 0.981890i | \(0.439329\pi\) | |||||||
\(522\) | −7.11407 | + | 4.06768i | −0.311375 | + | 0.178038i | ||||
\(523\) | 9.18368 | + | 12.6403i | 0.401574 | + | 0.552720i | 0.961138 | − | 0.276068i | \(-0.0890313\pi\) |
−0.559564 | + | 0.828787i | \(0.689031\pi\) | |||||||
\(524\) | 15.5848 | − | 14.0326i | 0.680824 | − | 0.613016i | ||||
\(525\) | 2.44399 | + | 7.57579i | 0.106665 | + | 0.330634i | ||||
\(526\) | − | 4.56889i | − | 0.199213i | ||||||
\(527\) | −10.0599 | − | 3.03896i | −0.438217 | − | 0.132379i | ||||
\(528\) | 0.979091 | + | 0.00205038i | 0.0426095 | + | 8.92314e-5i | ||||
\(529\) | −6.40878 | − | 19.7242i | −0.278643 | − | 0.857574i | ||||
\(530\) | 0.0745699 | + | 0.0828183i | 0.00323911 | + | 0.00359740i | ||||
\(531\) | −4.96770 | − | 6.89803i | −0.215580 | − | 0.299349i | ||||
\(532\) | −2.17861 | − | 3.77347i | −0.0944549 | − | 0.163601i | ||||
\(533\) | −22.1443 | + | 38.3550i | −0.959175 | + | 1.66134i | ||||
\(534\) | 3.20210 | − | 0.329775i | 0.138568 | − | 0.0142708i | ||||
\(535\) | 14.0203 | + | 10.1864i | 0.606151 | + | 0.440395i | ||||
\(536\) | 6.93362 | + | 0.728753i | 0.299487 | + | 0.0314773i | ||||
\(537\) | −20.7198 | + | 22.9150i | −0.894127 | + | 0.988856i | ||||
\(538\) | 2.70952 | − | 6.08569i | 0.116816 | − | 0.262373i | ||||
\(539\) | 7.80837 | + | 1.65972i | 0.336330 | + | 0.0714892i | ||||
\(540\) | 1.04839 | + | 5.08929i | 0.0451154 | + | 0.219008i | ||||
\(541\) | −14.8215 | + | 6.59894i | −0.637225 | + | 0.283711i | −0.699810 | − | 0.714329i | \(-0.746732\pi\) |
0.0625854 | + | 0.998040i | \(0.480065\pi\) | |||||||
\(542\) | −1.91452 | + | 5.89230i | −0.0822358 | + | 0.253096i | ||||
\(543\) | −6.83433 | − | 2.23644i | −0.293289 | − | 0.0959749i | ||||
\(544\) | −0.767698 | − | 1.72428i | −0.0329148 | − | 0.0739278i | ||||
\(545\) | −0.219808 | − | 1.03412i | −0.00941555 | − | 0.0442967i | ||||
\(546\) | −37.7958 | − | 8.11651i | −1.61751 | − | 0.347354i | ||||
\(547\) | 13.1188 | + | 5.84087i | 0.560920 | + | 0.249738i | 0.667555 | − | 0.744561i | \(-0.267341\pi\) |
−0.106635 | + | 0.994298i | \(0.534008\pi\) | |||||||
\(548\) | −1.70803 | + | 1.89696i | −0.0729636 | + | 0.0810343i | ||||
\(549\) | −12.8592 | − | 1.40603i | −0.548816 | − | 0.0600079i | ||||
\(550\) | 0.332263 | − | 0.457321i | 0.0141677 | − | 0.0195002i | ||||
\(551\) | −0.270707 | − | 2.57561i | −0.0115325 | − | 0.109725i | ||||
\(552\) | −2.25263 | − | 1.30686i | −0.0958784 | − | 0.0556235i | ||||
\(553\) | 55.8775 | − | 32.2609i | 2.37615 | − | 1.37187i | ||||
\(554\) | −17.4055 | + | 12.6458i | −0.739487 | + | 0.537269i | ||||
\(555\) | −5.17634 | − | 5.77317i | −0.219723 | − | 0.245058i | ||||
\(556\) | −8.76782 | + | 2.84884i | −0.371838 | + | 0.120818i | ||||
\(557\) | 23.6826 | 1.00346 | 0.501732 | − | 0.865023i | \(-0.332696\pi\) | ||||
0.501732 | + | 0.865023i | \(0.332696\pi\) | |||||||
\(558\) | 8.11035 | − | 14.6021i | 0.343338 | − | 0.618158i | ||||
\(559\) | 61.8796 | 2.61723 | ||||||||
\(560\) | 4.37092 | − | 1.42020i | 0.184705 | − | 0.0600143i | ||||
\(561\) | −1.23367 | − | 1.37592i | −0.0520857 | − | 0.0580912i | ||||
\(562\) | −11.2975 | + | 8.20815i | −0.476558 | + | 0.346240i | ||||
\(563\) | −26.1212 | + | 15.0811i | −1.10088 | + | 0.635593i | −0.936452 | − | 0.350796i | \(-0.885911\pi\) |
−0.164427 | + | 0.986389i | \(0.552578\pi\) | |||||||
\(564\) | −14.2187 | − | 8.24890i | −0.598714 | − | 0.347341i | ||||
\(565\) | −0.776457 | − | 7.38749i | −0.0326658 | − | 0.310794i | ||||
\(566\) | 7.72580 | − | 10.6337i | 0.324740 | − | 0.446966i | ||||
\(567\) | −4.66801 | + | 41.0984i | −0.196038 | + | 1.72597i | ||||
\(568\) | 6.38259 | − | 7.08859i | 0.267808 | − | 0.297430i | ||||
\(569\) | −30.5701 | − | 13.6107i | −1.28157 | − | 0.570590i | −0.350883 | − | 0.936419i | \(-0.614119\pi\) |
−0.930682 | + | 0.365830i | \(0.880785\pi\) | |||||||
\(570\) | −1.60552 | − | 0.344779i | −0.0672477 | − | 0.0144412i | ||||
\(571\) | −8.29677 | − | 39.0333i | −0.347209 | − | 1.63349i | −0.711842 | − | 0.702340i | \(-0.752139\pi\) |
0.364633 | − | 0.931151i | \(-0.381194\pi\) | |||||||
\(572\) | 1.11656 | + | 2.50784i | 0.0466858 | + | 0.104858i | ||||
\(573\) | −26.9979 | − | 8.83469i | −1.12785 | − | 0.369075i | ||||
\(574\) | 12.9519 | − | 39.8619i | 0.540602 | − | 1.66380i | ||||
\(575\) | −1.37359 | + | 0.611560i | −0.0572825 | + | 0.0255038i | ||||
\(576\) | 2.93703 | − | 0.611439i | 0.122376 | − | 0.0254766i | ||||
\(577\) | 29.4890 | + | 6.26808i | 1.22764 | + | 0.260944i | 0.775699 | − | 0.631102i | \(-0.217397\pi\) |
0.451944 | + | 0.892046i | \(0.350731\pi\) | |||||||
\(578\) | 5.46553 | − | 12.2758i | 0.227336 | − | 0.510605i | ||||
\(579\) | 1.18269 | − | 1.30799i | 0.0491508 | − | 0.0543582i | ||||
\(580\) | 2.71666 | + | 0.285533i | 0.112803 | + | 0.0118561i | ||||
\(581\) | 38.8532 | + | 28.2285i | 1.61190 | + | 1.17111i | ||||
\(582\) | −2.40133 | + | 0.247307i | −0.0995384 | + | 0.0102512i | ||||
\(583\) | 0.0314982 | − | 0.0545565i | 0.00130452 | − | 0.00225950i | ||||
\(584\) | −3.90333 | − | 6.76077i | −0.161521 | − | 0.279763i | ||||
\(585\) | −11.8223 | + | 8.51396i | −0.488791 | + | 0.352009i | ||||
\(586\) | −7.96295 | − | 8.84375i | −0.328946 | − | 0.365332i | ||||
\(587\) | 0.684066 | + | 2.10534i | 0.0282344 | + | 0.0868966i | 0.964181 | − | 0.265246i | \(-0.0854532\pi\) |
−0.935946 | + | 0.352143i | \(0.885453\pi\) | |||||||
\(588\) | 24.4598 | + | 0.0512229i | 1.00870 | + | 0.00211239i | ||||
\(589\) | 3.19084 | + | 4.20511i | 0.131476 | + | 0.173269i | ||||
\(590\) | 2.83355i | 0.116655i | ||||||||
\(591\) | 10.1268 | + | 31.3906i | 0.416561 | + | 1.29124i | ||||
\(592\) | −3.32688 | + | 2.99553i | −0.136734 | + | 0.123116i | ||||
\(593\) | −26.9270 | − | 37.0619i | −1.10576 | − | 1.52195i | −0.827520 | − | 0.561437i | \(-0.810249\pi\) |
−0.278240 | − | 0.960511i | \(-0.589751\pi\) | |||||||
\(594\) | 2.55293 | − | 1.45263i | 0.104748 | − | 0.0596021i | ||||
\(595\) | −7.51232 | − | 4.33724i | −0.307975 | − | 0.177810i | ||||
\(596\) | 7.11668 | − | 0.747994i | 0.291511 | − | 0.0306390i | ||||
\(597\) | 28.3502 | − | 38.8494i | 1.16030 | − | 1.59000i | ||||
\(598\) | 0.763249 | − | 7.26183i | 0.0312116 | − | 0.296958i | ||||
\(599\) | 20.4922 | + | 18.4512i | 0.837287 | + | 0.753897i | 0.971496 | − | 0.237056i | \(-0.0761825\pi\) |
−0.134209 | + | 0.990953i | \(0.542849\pi\) | |||||||
\(600\) | 0.707801 | − | 1.58083i | 0.0288958 | − | 0.0645370i | ||||
\(601\) | 1.36595 | − | 6.42627i | 0.0557181 | − | 0.262133i | −0.941468 | − | 0.337103i | \(-0.890553\pi\) |
0.997186 | + | 0.0749702i | \(0.0238862\pi\) | |||||||
\(602\) | −57.2812 | + | 12.1755i | −2.33461 | + | 0.496236i | ||||
\(603\) | 19.1427 | − | 8.42698i | 0.779550 | − | 0.343173i | ||||
\(604\) | −7.51899 | − | 2.44307i | −0.305943 | − | 0.0994070i | ||||
\(605\) | 10.1577 | + | 3.30044i | 0.412970 | + | 0.134182i | ||||
\(606\) | −22.1502 | + | 9.80639i | −0.899792 | + | 0.398357i | ||||
\(607\) | 33.9229 | − | 7.21053i | 1.37689 | − | 0.292666i | 0.540748 | − | 0.841185i | \(-0.318141\pi\) |
0.836139 | + | 0.548518i | \(0.184808\pi\) | |||||||
\(608\) | −0.197116 | + | 0.927360i | −0.00799413 | + | 0.0376094i | ||||
\(609\) | 19.8460 | + | 8.88584i | 0.804199 | + | 0.360072i | ||||
\(610\) | 3.20439 | + | 2.88525i | 0.129742 | + | 0.116820i | ||||
\(611\) | 4.81765 | − | 45.8368i | 0.194901 | − | 1.85436i | ||||
\(612\) | −4.56698 | − | 3.34742i | −0.184609 | − | 0.135311i | ||||
\(613\) | −8.70831 | + | 0.915280i | −0.351725 | + | 0.0369678i | −0.278744 | − | 0.960365i | \(-0.589918\pi\) |
−0.0729815 | + | 0.997333i | \(0.523251\pi\) | |||||||
\(614\) | −2.77235 | − | 1.60062i | −0.111883 | − | 0.0645957i | ||||
\(615\) | −7.86931 | − | 13.6962i | −0.317321 | − | 0.552284i | ||||
\(616\) | −1.52703 | − | 2.10178i | −0.0615259 | − | 0.0846831i | ||||
\(617\) | 7.52209 | − | 6.77292i | 0.302828 | − | 0.272667i | −0.503681 | − | 0.863890i | \(-0.668021\pi\) |
0.806508 | + | 0.591223i | \(0.201354\pi\) | |||||||
\(618\) | −6.67230 | + | 2.15252i | −0.268399 | + | 0.0865873i | ||||
\(619\) | 38.2325i | 1.53669i | 0.640034 | + | 0.768347i | \(0.278920\pi\) | ||||
−0.640034 | + | 0.768347i | \(0.721080\pi\) | |||||||
\(620\) | −5.03823 | + | 2.36987i | −0.202340 | + | 0.0951761i | ||||
\(621\) | −7.81266 | − | 0.0490836i | −0.313511 | − | 0.00196966i | ||||
\(622\) | 3.31868 | + | 10.2139i | 0.133067 | + | 0.409538i | ||||
\(623\) | −5.71534 | − | 6.34752i | −0.228980 | − | 0.254308i | ||||
\(624\) | 4.92982 | + | 6.81528i | 0.197351 | + | 0.272830i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 6.45994 | − | 11.1889i | 0.258191 | − | 0.447200i | ||||
\(627\) | 0.0950957 | + | 0.923372i | 0.00379776 | + | 0.0368759i | ||||
\(628\) | −8.24000 | − | 5.98671i | −0.328812 | − | 0.238896i | ||||
\(629\) | 8.40340 | + | 0.883232i | 0.335065 | + | 0.0352168i | ||||
\(630\) | 9.26851 | − | 10.2074i | 0.369266 | − | 0.406674i | ||||
\(631\) | −16.1501 | + | 36.2738i | −0.642926 | + | 1.44404i | 0.238229 | + | 0.971209i | \(0.423433\pi\) |
−0.881155 | + | 0.472827i | \(0.843234\pi\) | |||||||
\(632\) | −13.7323 | − | 2.91890i | −0.546243 | − | 0.116108i | ||||
\(633\) | 0.422150 | − | 0.0888071i | 0.0167789 | − | 0.00352976i | ||||
\(634\) | 26.8887 | − | 11.9716i | 1.06789 | − | 0.475453i | ||||
\(635\) | −3.79533 | + | 11.6808i | −0.150613 | + | 0.463539i | ||||
\(636\) | 0.0600323 | − | 0.183452i | 0.00238043 | − | 0.00727435i | ||||
\(637\) | 27.8941 | + | 62.6512i | 1.10520 | + | 2.48233i | ||||
\(638\) | −0.321043 | − | 1.51039i | −0.0127102 | − | 0.0597969i | ||||
\(639\) | 6.06676 | − | 27.9654i | 0.239997 | − | 1.10629i | ||||
\(640\) | −0.913545 | − | 0.406737i | −0.0361111 | − | 0.0160777i | ||||
\(641\) | −10.0008 | + | 11.1070i | −0.395006 | + | 0.438699i | −0.907538 | − | 0.419969i | \(-0.862041\pi\) |
0.512532 | + | 0.858668i | \(0.328708\pi\) | |||||||
\(642\) | 3.20009 | − | 29.8455i | 0.126298 | − | 1.17791i | ||||
\(643\) | 4.57814 | − | 6.30126i | 0.180544 | − | 0.248498i | −0.709147 | − | 0.705061i | \(-0.750920\pi\) |
0.889691 | + | 0.456563i | \(0.150920\pi\) | |||||||
\(644\) | 0.722315 | + | 6.87236i | 0.0284632 | + | 0.270809i | ||||
\(645\) | −11.0750 | + | 19.0900i | −0.436077 | + | 0.751668i | ||||
\(646\) | 1.54972 | − | 0.894728i | 0.0609727 | − | 0.0352026i | ||||
\(647\) | −34.5060 | + | 25.0700i | −1.35657 | + | 0.985605i | −0.357914 | + | 0.933754i | \(0.616512\pi\) |
−0.998655 | + | 0.0518506i | \(0.983488\pi\) | |||||||
\(648\) | 6.73851 | − | 5.96594i | 0.264714 | − | 0.234364i | ||||
\(649\) | 1.52335 | − | 0.494967i | 0.0597968 | − | 0.0194291i | ||||
\(650\) | 4.85631 | 0.190480 | ||||||||
\(651\) | −43.9837 | + | 5.45603i | −1.72386 | + | 0.213839i | ||||
\(652\) | −7.95163 | −0.311410 | ||||||||
\(653\) | −10.5038 | + | 3.41290i | −0.411047 | + | 0.133557i | −0.507239 | − | 0.861806i | \(-0.669334\pi\) |
0.0961918 | + | 0.995363i | \(0.469334\pi\) | |||||||
\(654\) | −1.36338 | + | 1.22243i | −0.0533123 | + | 0.0478009i | ||||
\(655\) | −16.9662 | + | 12.3267i | −0.662924 | + | 0.481642i | ||||
\(656\) | −7.89798 | + | 4.55990i | −0.308364 | + | 0.178034i | ||||
\(657\) | −20.2331 | − | 11.7948i | −0.789367 | − | 0.460160i | ||||
\(658\) | 4.55927 | + | 43.3785i | 0.177739 | + | 1.69107i | ||||
\(659\) | 21.4601 | − | 29.5373i | 0.835966 | − | 1.15061i | −0.150818 | − | 0.988562i | \(-0.548191\pi\) |
0.986783 | − | 0.162046i | \(-0.0518094\pi\) | |||||||
\(660\) | −0.973513 | − | 0.104382i | −0.0378939 | − | 0.00406306i | ||||
\(661\) | 4.92255 | − | 5.46704i | 0.191465 | − | 0.212643i | −0.639767 | − | 0.768569i | \(-0.720969\pi\) |
0.831232 | + | 0.555925i | \(0.187636\pi\) | |||||||
\(662\) | −17.9029 | − | 7.97089i | −0.695816 | − | 0.309797i | ||||
\(663\) | 3.33334 | − | 15.5222i | 0.129456 | − | 0.602834i | ||||
\(664\) | −2.17261 | − | 10.2213i | −0.0843135 | − | 0.396664i | ||||
\(665\) | 1.77224 | + | 3.98053i | 0.0687247 | + | 0.154358i | ||||
\(666\) | −4.20364 | + | 12.7554i | −0.162888 | + | 0.494263i | ||||
\(667\) | −1.26920 | + | 3.90619i | −0.0491435 | + | 0.151248i | ||||
\(668\) | 19.7408 | − | 8.78916i | 0.763794 | − | 0.340063i | ||||
\(669\) | 5.69899 | + | 27.0905i | 0.220336 | + | 1.04738i | ||||
\(670\) | −6.81947 | − | 1.44952i | −0.263459 | − | 0.0559999i | ||||
\(671\) | 0.991399 | − | 2.22672i | 0.0382726 | − | 0.0859616i | ||||
\(672\) | −5.90445 | − | 5.33883i | −0.227769 | − | 0.205950i | ||||
\(673\) | 2.26597 | + | 0.238163i | 0.0873466 | + | 0.00918050i | 0.148101 | − | 0.988972i | \(-0.452684\pi\) |
−0.0607543 | + | 0.998153i | \(0.519351\pi\) | |||||||
\(674\) | 14.8922 | + | 10.8198i | 0.573626 | + | 0.416764i | ||||
\(675\) | −0.510669 | − | 5.17100i | −0.0196557 | − | 0.199032i | ||||
\(676\) | −5.29187 | + | 9.16579i | −0.203534 | + | 0.352531i | ||||
\(677\) | 0.445412 | + | 0.771476i | 0.0171186 | + | 0.0296502i | 0.874458 | − | 0.485102i | \(-0.161217\pi\) |
−0.857339 | + | 0.514752i | \(0.827884\pi\) | |||||||
\(678\) | −10.4246 | + | 7.54063i | −0.400355 | + | 0.289596i | ||||
\(679\) | 4.28607 | + | 4.76017i | 0.164484 | + | 0.182678i | ||||
\(680\) | 0.583256 | + | 1.79508i | 0.0223669 | + | 0.0688381i | ||||
\(681\) | −0.0514542 | + | 24.5703i | −0.00197173 | + | 0.941534i | ||||
\(682\) | 2.15415 | + | 2.29465i | 0.0824868 | + | 0.0878665i | ||||
\(683\) | − | 6.63621i | − | 0.253928i | −0.991907 | − | 0.126964i | \(-0.959477\pi\) | ||
0.991907 | − | 0.126964i | \(-0.0405232\pi\) | |||||||
\(684\) | 0.867579 | + | 2.70868i | 0.0331727 | + | 0.103569i | ||||
\(685\) | 1.89696 | − | 1.70803i | 0.0724793 | − | 0.0652607i | ||||
\(686\) | −19.2389 | − | 26.4800i | −0.734544 | − | 1.01101i | ||||
\(687\) | −36.3502 | + | 20.8854i | −1.38685 | + | 0.796828i | ||||
\(688\) | 11.0350 | + | 6.37105i | 0.420705 | + | 0.242894i | ||||
\(689\) | 0.538237 | − | 0.0565710i | 0.0205052 | − | 0.00215518i | ||||
\(690\) | 2.10369 | + | 1.53516i | 0.0800861 | + | 0.0584426i | ||||
\(691\) | 4.77691 | − | 45.4493i | 0.181722 | − | 1.72897i | −0.400807 | − | 0.916162i | \(-0.631270\pi\) |
0.582530 | − | 0.812809i | \(-0.302063\pi\) | |||||||
\(692\) | −5.87681 | − | 5.29150i | −0.223403 | − | 0.201153i | ||||
\(693\) | −7.10668 | − | 3.19983i | −0.269960 | − | 0.121551i | ||||
\(694\) | −2.75341 | + | 12.9538i | −0.104518 | + | 0.491718i | ||||
\(695\) | 9.01758 | − | 1.91674i | 0.342056 | − | 0.0727063i | ||||
\(696\) | −1.91534 | − | 4.32629i | −0.0726009 | − | 0.163988i | ||||
\(697\) | 16.3708 | + | 5.31918i | 0.620086 | + | 0.201478i | ||||
\(698\) | 18.4408 | + | 5.99177i | 0.697994 | + | 0.226792i | ||||
\(699\) | −14.8373 | − | 33.5138i | −0.561198 | − | 1.26761i | ||||
\(700\) | −4.49542 | + | 0.955532i | −0.169911 | + | 0.0361157i | ||||
\(701\) | 9.01448 | − | 42.4098i | 0.340472 | − | 1.60180i | −0.391310 | − | 0.920259i | \(-0.627978\pi\) |
0.731783 | − | 0.681538i | \(-0.238689\pi\) | |||||||
\(702\) | 22.9876 | + | 10.4083i | 0.867611 | + | 0.392835i | ||||
\(703\) | −3.15414 | − | 2.84000i | −0.118961 | − | 0.107113i | ||||
\(704\) | −0.0590878 | + | 0.562183i | −0.00222696 | + | 0.0211881i | ||||
\(705\) | 13.2785 | + | 9.68997i | 0.500098 | + | 0.364945i | ||||
\(706\) | 19.3904 | − | 2.03801i | 0.729766 | − | 0.0767015i | ||||
\(707\) | 55.6648 | + | 32.1381i | 2.09349 | + | 1.20868i | ||||
\(708\) | 4.25545 | − | 2.44502i | 0.159930 | − | 0.0918894i | ||||
\(709\) | −16.7918 | − | 23.1119i | −0.630628 | − | 0.867984i | 0.367445 | − | 0.930045i | \(-0.380233\pi\) |
−0.998072 | + | 0.0620609i | \(0.980233\pi\) | |||||||
\(710\) | −7.08859 | + | 6.38259i | −0.266030 | + | 0.239534i | ||||
\(711\) | −40.1102 | + | 12.8471i | −1.50425 | + | 0.481804i | ||||
\(712\) | 1.85851i | 0.0696506i | ||||||||
\(713\) | −1.91040 | − | 8.15067i | −0.0715451 | − | 0.305245i | ||||
\(714\) | −0.0314641 | + | 15.0246i | −0.00117751 | + | 0.562282i | ||||
\(715\) | −0.848305 | − | 2.61081i | −0.0317248 | − | 0.0976389i | ||||
\(716\) | −11.9349 | − | 13.2550i | −0.446027 | − | 0.495363i | ||||
\(717\) | −18.5920 | + | 13.4485i | −0.694332 | + | 0.502243i | ||||
\(718\) | 5.88202 | + | 10.1880i | 0.219515 | + | 0.380211i | ||||
\(719\) | −2.29211 | + | 3.97006i | −0.0854814 | + | 0.148058i | −0.905596 | − | 0.424141i | \(-0.860576\pi\) |
0.820115 | + | 0.572199i | \(0.193909\pi\) | |||||||
\(720\) | −2.98485 | + | 0.301087i | −0.111239 | + | 0.0112208i | ||||
\(721\) | 15.0501 | + | 10.9345i | 0.560494 | + | 0.407222i | ||||
\(722\) | 18.0020 | + | 1.89209i | 0.669965 | + | 0.0704161i | ||||
\(723\) | −23.4317 | − | 21.1870i | −0.871435 | − | 0.787954i | ||||
\(724\) | 1.68865 | − | 3.79276i | 0.0627581 | − | 0.140957i | ||||
\(725\) | −2.67193 | − | 0.567937i | −0.0992331 | − | 0.0210927i | ||||
\(726\) | −3.80828 | − | 18.1029i | −0.141338 | − | 0.671860i | ||||
\(727\) | −30.5255 | + | 13.5908i | −1.13213 | + | 0.504055i | −0.885307 | − | 0.465006i | \(-0.846052\pi\) |
−0.246819 | + | 0.969062i | \(0.579385\pi\) | |||||||
\(728\) | 6.89692 | − | 21.2265i | 0.255617 | − | 0.786708i | ||||
\(729\) | 8.66544 | − | 25.5717i | 0.320942 | − | 0.947099i | ||||
\(730\) | 3.17525 | + | 7.13174i | 0.117521 | + | 0.263958i | ||||
\(731\) | −5.00031 | − | 23.5246i | −0.184943 | − | 0.870090i | ||||
\(732\) | 1.56808 | − | 7.30202i | 0.0579580 | − | 0.269890i | ||||
\(733\) | −25.6819 | − | 11.4343i | −0.948583 | − | 0.422337i | −0.126667 | − | 0.991945i | \(-0.540428\pi\) |
−0.821916 | + | 0.569609i | \(0.807095\pi\) | |||||||
\(734\) | 18.2807 | − | 20.3028i | 0.674753 | − | 0.749389i | ||||
\(735\) | −24.3204 | − | 2.60768i | −0.897072 | − | 0.0961859i | ||||
\(736\) | 0.883780 | − | 1.21642i | 0.0325766 | − | 0.0448378i | ||||
\(737\) | 0.411949 | + | 3.91944i | 0.0151743 | + | 0.144374i | ||||
\(738\) | −13.7788 | + | 23.6364i | −0.507205 | + | 0.870069i | ||||
\(739\) | 4.62354 | − | 2.66940i | 0.170080 | − | 0.0981956i | −0.412544 | − | 0.910938i | \(-0.635360\pi\) |
0.582623 | + | 0.812742i | \(0.302026\pi\) | |||||||
\(740\) | 3.62177 | − | 2.63137i | 0.133139 | − | 0.0967311i | ||||
\(741\) | −5.93747 | + | 5.32365i | −0.218119 | + | 0.195569i | ||||
\(742\) | −0.487108 | + | 0.158271i | −0.0178823 | + | 0.00581031i | ||||
\(743\) | 51.7169 | 1.89731 | 0.948655 | − | 0.316314i | \(-0.102445\pi\) | ||||
0.948655 | + | 0.316314i | \(0.102445\pi\) | |||||||
\(744\) | 7.90649 | + | 5.52155i | 0.289866 | + | 0.202430i | ||||
\(745\) | −7.15588 | −0.262171 | ||||||||
\(746\) | 19.7900 | − | 6.43015i | 0.724562 | − | 0.235424i | ||||
\(747\) | −20.8788 | − | 23.3845i | −0.763916 | − | 0.855594i | ||||
\(748\) | 0.863173 | − | 0.627132i | 0.0315607 | − | 0.0229302i | ||||
\(749\) | −68.9759 | + | 39.8232i | −2.52032 | + | 1.45511i | ||||
\(750\) | −0.869165 | + | 1.49818i | −0.0317374 | + | 0.0547059i | ||||
\(751\) | −4.04236 | − | 38.4605i | −0.147508 | − | 1.40344i | −0.778495 | − | 0.627650i | \(-0.784017\pi\) |
0.630987 | − | 0.775793i | \(-0.282650\pi\) | |||||||
\(752\) | 5.57844 | − | 7.67806i | 0.203425 | − | 0.279990i | ||||
\(753\) | −0.0306463 | + | 0.285821i | −0.00111681 | + | 0.0104159i | ||||
\(754\) | 8.87644 | − | 9.85828i | 0.323261 | − | 0.359017i | ||||
\(755\) | 7.22243 | + | 3.21563i | 0.262851 | + | 0.117029i | ||||
\(756\) | −23.3273 | − | 5.11174i | −0.848404 | − | 0.185912i | ||||
\(757\) | 9.59651 | + | 45.1480i | 0.348791 | + | 1.64093i | 0.706944 | + | 0.707269i | \(0.250073\pi\) |
−0.358153 | + | 0.933663i | \(0.616593\pi\) | |||||||
\(758\) | 13.8089 | + | 31.0154i | 0.501563 | + | 1.12653i | ||||
\(759\) | 0.457848 | − | 1.39913i | 0.0166188 | − | 0.0507853i | ||||
\(760\) | 0.292972 | − | 0.901676i | 0.0106272 | − | 0.0327072i | ||||
\(761\) | 5.25115 | − | 2.33796i | 0.190354 | − | 0.0847510i | −0.309346 | − | 0.950949i | \(-0.600110\pi\) |
0.499700 | + | 0.866198i | \(0.333444\pi\) | |||||||
\(762\) | 20.8173 | − | 4.37931i | 0.754131 | − | 0.158646i | ||||
\(763\) | 4.75265 | + | 1.01021i | 0.172057 | + | 0.0365720i | ||||
\(764\) | 6.67072 | − | 14.9827i | 0.241338 | − | 0.542054i | ||||
\(765\) | 4.19206 | + | 3.80646i | 0.151564 | + | 0.137623i | ||||
\(766\) | 17.1298 | + | 1.80042i | 0.618925 | + | 0.0650517i | ||||
\(767\) | 11.1325 | + | 8.08827i | 0.401973 | + | 0.292050i | ||||
\(768\) | 0.177441 | + | 1.72294i | 0.00640285 | + | 0.0621712i | ||||
\(769\) | 7.04604 | − | 12.2041i | 0.254087 | − | 0.440091i | −0.710560 | − | 0.703636i | \(-0.751558\pi\) |
0.964647 | + | 0.263545i | \(0.0848918\pi\) | |||||||
\(770\) | 1.29897 | + | 2.24988i | 0.0468117 | + | 0.0810802i | ||||
\(771\) | 10.2171 | + | 14.1248i | 0.367961 | + | 0.508692i | ||||
\(772\) | 0.681242 | + | 0.756596i | 0.0245184 | + | 0.0272305i | ||||
\(773\) | 0.742095 | + | 2.28393i | 0.0266913 | + | 0.0821473i | 0.963515 | − | 0.267655i | \(-0.0862487\pi\) |
−0.936824 | + | 0.349802i | \(0.886249\pi\) | |||||||
\(774\) | 38.2260 | + | 0.160104i | 1.37400 | + | 0.00575482i | ||||
\(775\) | 5.25835 | − | 1.83025i | 0.188885 | − | 0.0657443i | ||||
\(776\) | − | 1.39374i | − | 0.0500324i | ||||||
\(777\) | 33.9149 | − | 10.9412i | 1.21669 | − | 0.392512i | ||||
\(778\) | 24.8948 | − | 22.4154i | 0.892522 | − | 0.803630i | ||||
\(779\) | −5.08215 | − | 6.99499i | −0.182087 | − | 0.250621i | ||||
\(780\) | −4.19042 | − | 7.29326i | −0.150041 | − | 0.261140i | ||||
\(781\) | 4.66960 | + | 2.69600i | 0.167092 | + | 0.0964704i | ||||
\(782\) | −2.82239 | + | 0.296645i | −0.100928 | + | 0.0106080i | ||||
\(783\) | −11.4305 | − | 8.41497i | −0.408493 | − | 0.300727i | ||||
\(784\) | −1.47614 | + | 14.0445i | −0.0527192 | + | 0.501590i | ||||
\(785\) | 7.56908 | + | 6.81523i | 0.270152 | + | 0.243246i | ||||
\(786\) | 33.1521 | + | 14.8435i | 1.18250 | + | 0.529452i | ||||
\(787\) | −3.97119 | + | 18.6830i | −0.141558 | + | 0.665977i | 0.848945 | + | 0.528482i | \(0.177238\pi\) |
−0.990502 | + | 0.137495i | \(0.956095\pi\) | |||||||
\(788\) | −18.6270 | + | 3.95929i | −0.663560 | + | 0.141044i | ||||
\(789\) | 7.23611 | − | 3.20358i | 0.257612 | − | 0.114051i | ||||
\(790\) | 13.3520 | + | 4.33833i | 0.475043 | + | 0.154351i | ||||
\(791\) | 32.4680 | + | 10.5495i | 1.15443 | + | 0.375097i | ||||
\(792\) | 0.683265 | + | 1.55210i | 0.0242788 | + | 0.0551515i | ||||
\(793\) | 20.4825 | − | 4.35369i | 0.727355 | − | 0.154604i | ||||
\(794\) | −7.58313 | + | 35.6758i | −0.269115 | + | 1.26609i | ||||
\(795\) | −0.0788794 | + | 0.176172i | −0.00279756 | + | 0.00624818i | ||||
\(796\) | 20.6349 | + | 18.5797i | 0.731384 | + | 0.658541i | ||||
\(797\) | 2.51574 | − | 23.9357i | 0.0891120 | − | 0.847844i | −0.855090 | − | 0.518479i | \(-0.826499\pi\) |
0.944202 | − | 0.329366i | \(-0.106835\pi\) | |||||||
\(798\) | 4.44876 | − | 6.09630i | 0.157484 | − | 0.215807i | ||||
\(799\) | −17.8150 | + | 1.87243i | −0.630249 | + | 0.0662418i | ||||
\(800\) | 0.866025 | + | 0.500000i | 0.0306186 | + | 0.0176777i | ||||
\(801\) | 2.76752 | + | 4.84018i | 0.0977854 | + | 0.171019i | ||||
\(802\) | −14.1029 | − | 19.4109i | −0.497989 | − | 0.685423i | ||||
\(803\) | 3.27946 | − | 2.95284i | 0.115730 | − | 0.104203i | ||||
\(804\) | 3.70749 | + | 11.4923i | 0.130753 | + | 0.405303i | ||||
\(805\) | − | 6.91022i | − | 0.243553i | ||||||
\(806\) | −5.07064 | + | 26.5591i | −0.178606 | + | 0.935504i | ||||
\(807\) | 11.5382 | + | 0.0241630i | 0.406165 | + | 0.000850577i | ||||
\(808\) | −4.32181 | − | 13.3012i | −0.152041 | − | 0.467934i | ||||
\(809\) | 32.3544 | + | 35.9333i | 1.13752 | + | 1.26335i | 0.960237 | + | 0.279186i | \(0.0900647\pi\) |
0.177285 | + | 0.984160i | \(0.443269\pi\) | |||||||
\(810\) | −7.32521 | + | 5.22889i | −0.257382 | + | 0.183724i | ||||
\(811\) | 19.0527 | + | 33.0003i | 0.669031 | + | 1.15880i | 0.978175 | + | 0.207781i | \(0.0666241\pi\) |
−0.309144 | + | 0.951015i | \(0.600043\pi\) | |||||||
\(812\) | −6.27708 | + | 10.8722i | −0.220282 | + | 0.381540i | ||||
\(813\) | −10.6745 | + | 1.09934i | −0.374371 | + | 0.0385555i | ||||
\(814\) | −2.04731 | − | 1.48746i | −0.0717583 | − | 0.0521354i | ||||
\(815\) | 7.90807 | + | 0.831172i | 0.277008 | + | 0.0291147i | ||||
\(816\) | 2.19259 | − | 2.42488i | 0.0767559 | − | 0.0848879i | ||||
\(817\) | −4.91359 | + | 11.0361i | −0.171905 | + | 0.386104i | ||||
\(818\) | 7.54116 | + | 1.60292i | 0.263670 | + | 0.0560449i | ||||
\(819\) | −13.6466 | − | 65.5513i | −0.476852 | − | 2.29055i | ||||
\(820\) | 8.33135 | − | 3.70936i | 0.290943 | − | 0.129536i | ||||
\(821\) | 0.594068 | − | 1.82835i | 0.0207331 | − | 0.0638100i | −0.940155 | − | 0.340748i | \(-0.889320\pi\) |
0.960888 | + | 0.276938i | \(0.0893197\pi\) | |||||||
\(822\) | −4.20200 | − | 1.37505i | −0.146562 | − | 0.0479603i | ||||
\(823\) | 3.60580 | + | 8.09876i | 0.125690 | + | 0.282305i | 0.965420 | − | 0.260700i | \(-0.0839533\pi\) |
−0.839730 | + | 0.543005i | \(0.817287\pi\) | |||||||
\(824\) | −0.841576 | − | 3.95930i | −0.0293177 | − | 0.137929i | ||||
\(825\) | 0.957269 | + | 0.205570i | 0.0333278 | + | 0.00715703i | ||||
\(826\) | −11.8967 | − | 5.29676i | −0.413939 | − | 0.184298i | ||||
\(827\) | −14.2338 | + | 15.8082i | −0.494957 | + | 0.549706i | −0.937928 | − | 0.346830i | \(-0.887258\pi\) |
0.442971 | + | 0.896536i | \(0.353925\pi\) | |||||||
\(828\) | 0.490284 | − | 4.48400i | 0.0170386 | − | 0.155830i | ||||
\(829\) | −9.34434 | + | 12.8614i | −0.324542 | + | 0.446694i | −0.939847 | − | 0.341595i | \(-0.889033\pi\) |
0.615305 | + | 0.788289i | \(0.289033\pi\) | |||||||
\(830\) | 1.09229 | + | 10.3924i | 0.0379139 | + | 0.360726i | ||||
\(831\) | −32.2324 | − | 18.6995i | −1.11813 | − | 0.648678i | ||||
\(832\) | −4.20569 | + | 2.42816i | −0.145806 | + | 0.0841811i | ||||
\(833\) | 21.5639 | − | 15.6671i | 0.747145 | − | 0.542833i | ||||
\(834\) | −10.6597 | − | 11.8888i | −0.369115 | − | 0.411674i | ||||
\(835\) | −20.5514 | + | 6.67754i | −0.711209 | + | 0.231086i | ||||
\(836\) | −0.535929 | −0.0185355 | ||||||||
\(837\) | 28.8133 | + | 2.60637i | 0.995934 | + | 0.0900894i | ||||
\(838\) | 36.5251 | 1.26174 | ||||||||
\(839\) | 29.5912 | − | 9.61478i | 1.02160 | − | 0.331939i | 0.250138 | − | 0.968210i | \(-0.419524\pi\) |
0.771465 | + | 0.636271i | \(0.219524\pi\) | |||||||
\(840\) | 5.31405 | + | 5.92676i | 0.183352 | + | 0.204493i | ||||
\(841\) | 17.4248 | − | 12.6598i | 0.600855 | − | 0.436546i | ||||
\(842\) | 29.1691 | − | 16.8408i | 1.00523 | − | 0.580372i | ||||
\(843\) | −20.9214 | − | 12.1375i | −0.720572 | − | 0.418037i | ||||
\(844\) | 0.0260342 | + | 0.247698i | 0.000896133 | + | 0.00852613i | ||||
\(845\) | 6.22097 | − | 8.56243i | 0.214008 | − | 0.294557i | ||||
\(846\) | 3.09469 | − | 28.3031i | 0.106397 | − | 0.973082i | ||||
\(847\) | −32.8448 | + | 36.4779i | −1.12856 | + | 1.25340i | ||||
\(848\) | 0.101808 | + | 0.0453279i | 0.00349611 | + | 0.00155657i | ||||
\(849\) | 22.2585 | + | 4.77993i | 0.763909 | + | 0.164047i | ||||
\(850\) | −0.392424 | − | 1.84621i | −0.0134600 | − | 0.0633245i | ||||
\(851\) | 2.73780 | + | 6.14920i | 0.0938506 | + | 0.210792i | ||||
\(852\) | 15.7021 | + | 5.13829i | 0.537944 | + | 0.176035i | ||||
\(853\) | 8.68579 | − | 26.7321i | 0.297396 | − | 0.915290i | −0.685011 | − | 0.728533i | \(-0.740202\pi\) |
0.982406 | − | 0.186757i | \(-0.0597976\pi\) | |||||||
\(854\) | −18.1038 | + | 8.06031i | −0.619498 | + | 0.275818i | ||||
\(855\) | −0.579692 | − | 2.78453i | −0.0198250 | − | 0.0952290i | ||||
\(856\) | 16.9514 | + | 3.60312i | 0.579386 | + | 0.123152i | ||||
\(857\) | −3.10897 | + | 6.98285i | −0.106200 | + | 0.238530i | −0.958827 | − | 0.283991i | \(-0.908341\pi\) |
0.852627 | + | 0.522520i | \(0.175008\pi\) | |||||||
\(858\) | −3.18896 | + | 3.52682i | −0.108869 | + | 0.120404i | ||||
\(859\) | 0.947801 | + | 0.0996179i | 0.0323385 | + | 0.00339892i | 0.120684 | − | 0.992691i | \(-0.461491\pi\) |
−0.0883454 | + | 0.996090i | \(0.528158\pi\) | |||||||
\(860\) | −10.3086 | − | 7.48962i | −0.351520 | − | 0.255394i | ||||
\(861\) | 72.2139 | − | 7.43713i | 2.46104 | − | 0.253457i | ||||
\(862\) | −5.36118 | + | 9.28583i | −0.182602 | + | 0.316277i | ||||
\(863\) | 18.8307 | + | 32.6157i | 0.641004 | + | 1.11025i | 0.985209 | + | 0.171357i | \(0.0548151\pi\) |
−0.344205 | + | 0.938894i | \(0.611852\pi\) | |||||||
\(864\) | 3.02775 | + | 4.22288i | 0.103006 | + | 0.143665i | ||||
\(865\) | 5.29150 | + | 5.87681i | 0.179916 | + | 0.199817i | ||||
\(866\) | 1.10650 | + | 3.40547i | 0.0376005 | + | 0.115722i | ||||
\(867\) | 23.2744 | + | 0.0487405i | 0.790440 | + | 0.00165531i | ||||
\(868\) | −0.531962 | − | 25.5831i | −0.0180560 | − | 0.868347i | ||||
\(869\) | − | 7.93603i | − | 0.269211i | ||||||
\(870\) | 1.45263 | + | 4.50280i | 0.0492488 | + | 0.152659i | ||||
\(871\) | −25.1609 | + | 22.6550i | −0.852544 | + | 0.767634i | ||||
\(872\) | −0.621418 | − | 0.855309i | −0.0210439 | − | 0.0289644i | ||||
\(873\) | −2.07543 | − | 3.62977i | −0.0702426 | − | 0.122849i | ||||
\(874\) | 1.23453 | + | 0.712754i | 0.0417585 | + | 0.0241093i | ||||
\(875\) | 4.57068 | − | 0.480398i | 0.154517 | − | 0.0162404i | ||||
\(876\) | 7.97065 | − | 10.9225i | 0.269303 | − | 0.369036i | ||||
\(877\) | −1.15497 | + | 10.9888i | −0.0390007 | + | 0.371067i | 0.957562 | + | 0.288227i | \(0.0930657\pi\) |
−0.996563 | + | 0.0828401i | \(0.973601\pi\) | |||||||
\(878\) | −21.6710 | − | 19.5127i | −0.731362 | − | 0.658521i | ||||
\(879\) | 8.42314 | − | 18.8126i | 0.284105 | − | 0.634532i | ||||
\(880\) | 0.117528 | − | 0.552927i | 0.00396188 | − | 0.0186392i | ||||
\(881\) | 49.8721 | − | 10.6007i | 1.68024 | − | 0.357145i | 0.733632 | − | 0.679547i | \(-0.237824\pi\) |
0.946603 | + | 0.322402i | \(0.104490\pi\) | |||||||
\(882\) | 17.0694 | + | 38.7748i | 0.574757 | + | 1.30561i | ||||
\(883\) | −53.4174 | − | 17.3564i | −1.79764 | − | 0.584088i | −0.797814 | − | 0.602903i | \(-0.794011\pi\) |
−0.999823 | + | 0.0188154i | \(0.994011\pi\) | |||||||
\(884\) | 8.71746 | + | 2.83247i | 0.293200 | + | 0.0952664i | ||||
\(885\) | −4.48771 | + | 1.98681i | −0.150853 | + | 0.0667858i | ||||
\(886\) | −17.4304 | + | 3.70495i | −0.585586 | + | 0.124470i | ||||
\(887\) | 2.00922 | − | 9.45265i | 0.0674631 | − | 0.317389i | −0.931457 | − | 0.363852i | \(-0.881462\pi\) |
0.998920 | + | 0.0464627i | \(0.0147949\pi\) | |||||||
\(888\) | −7.07698 | − | 3.16865i | −0.237488 | − | 0.106333i | ||||
\(889\) | −41.9476 | − | 37.7698i | −1.40688 | − | 1.26676i | ||||
\(890\) | 0.194267 | − | 1.84833i | 0.00651185 | − | 0.0619561i | ||||
\(891\) | 4.09069 | + | 3.02474i | 0.137043 | + | 0.101333i | ||||
\(892\) | −15.8955 | + | 1.67068i | −0.532220 | + | 0.0559386i | ||||
\(893\) | 7.79235 | + | 4.49892i | 0.260761 | + | 0.150551i | ||||
\(894\) | 6.17469 | + | 10.7468i | 0.206512 | + | 0.359426i | ||||
\(895\) | 10.4840 | + | 14.4299i | 0.350440 | + | 0.482340i | ||||
\(896\) | 3.41539 | − | 3.07523i | 0.114100 | − | 0.102736i | ||||
\(897\) | 12.0363 | − | 3.88299i | 0.401881 | − | 0.129649i | ||||
\(898\) | 9.29071i | 0.310035i | ||||||||
\(899\) | 5.89590 | − | 14.0198i | 0.196639 | − | 0.467585i | ||||
\(900\) | 2.99997 | + | 0.0125650i | 0.0999991 | + | 0.000418832i | ||||
\(901\) | −0.0649998 | − | 0.200049i | −0.00216546 | − | 0.00666459i | ||||
\(902\) | −3.44952 | − | 3.83109i | −0.114857 | − | 0.127561i | ||||
\(903\) | −59.4473 | − | 82.1836i | −1.97828 | − | 2.73490i | ||||
\(904\) | −3.71409 | − | 6.43300i | −0.123529 | − | 0.213958i | ||||
\(905\) | −2.07585 | + | 3.59547i | −0.0690035 | + | 0.119518i | ||||
\(906\) | −1.40284 | − | 13.6214i | −0.0466061 | − | 0.452542i | ||||
\(907\) | −40.0109 | − | 29.0696i | −1.32854 | − | 0.965242i | −0.999783 | − | 0.0208275i | \(-0.993370\pi\) |
−0.328758 | − | 0.944414i | \(-0.606630\pi\) | |||||||
\(908\) | −14.1080 | − | 1.48281i | −0.468189 | − | 0.0492087i | ||||
\(909\) | −31.0623 | − | 28.2051i | −1.03027 | − | 0.935504i | ||||
\(910\) | −9.07791 | + | 20.3893i | −0.300930 | + | 0.675900i | ||||
\(911\) | −13.6434 | − | 2.89999i | −0.452025 | − | 0.0960809i | −0.0237271 | − | 0.999718i | \(-0.507553\pi\) |
−0.428298 | + | 0.903638i | \(0.640887\pi\) | |||||||
\(912\) | −1.60695 | + | 0.338051i | −0.0532113 | + | 0.0111940i | ||||
\(913\) | 5.39630 | − | 2.40259i | 0.178591 | − | 0.0795140i | ||||
\(914\) | −3.35220 | + | 10.3170i | −0.110881 | + | 0.341257i | ||||
\(915\) | −2.32276 | + | 7.09811i | −0.0767881 | + | 0.234656i | ||||
\(916\) | −9.84475 | − | 22.1117i | −0.325280 | − | 0.730590i | ||||
\(917\) | −20.0388 | − | 94.2752i | −0.661740 | − | 3.11324i | ||||
\(918\) | 2.09933 | − | 9.58020i | 0.0692881 | − | 0.316194i | ||||
\(919\) | 25.1223 | + | 11.1851i | 0.828707 | + | 0.368964i | 0.776846 | − | 0.629690i | \(-0.216818\pi\) |
0.0518605 | + | 0.998654i | \(0.483485\pi\) | |||||||
\(920\) | −1.00609 | + | 1.11738i | −0.0331698 | + | 0.0368388i | ||||
\(921\) | 0.591126 | − | 5.51311i | 0.0194783 | − | 0.181663i | ||||
\(922\) | 14.1871 | − | 19.5268i | 0.467226 | − | 0.643081i | ||||
\(923\) | 4.84203 | + | 46.0688i | 0.159377 | + | 1.51637i | ||||
\(924\) | 2.25804 | − | 3.89219i | 0.0742841 | − | 0.128044i | ||||
\(925\) | −3.87698 | + | 2.23838i | −0.127474 | + | 0.0735974i | ||||
\(926\) | 21.7837 | − | 15.8268i | 0.715857 | − | 0.520101i | ||||
\(927\) | −8.08756 | − | 9.05816i | −0.265630 | − | 0.297509i | ||||
\(928\) | 2.59793 | − | 0.844119i | 0.0852813 | − | 0.0277096i | ||||
\(929\) | −24.7489 | −0.811986 | −0.405993 | − | 0.913876i | \(-0.633074\pi\) | ||||
−0.405993 | + | 0.913876i | \(0.633074\pi\) | |||||||
\(930\) | −7.28601 | − | 6.31775i | −0.238918 | − | 0.207167i | ||||
\(931\) | −13.3886 | −0.438795 | ||||||||
\(932\) | 20.1250 | − | 6.53900i | 0.659215 | − | 0.214192i | ||||
\(933\) | −13.8495 | + | 12.4177i | −0.453413 | + | 0.406539i | ||||
\(934\) | 16.4551 | − | 11.9554i | 0.538429 | − | 0.391191i | ||||
\(935\) | −0.923998 | + | 0.533471i | −0.0302180 | + | 0.0174464i | ||||
\(936\) | −7.33725 | + | 12.5864i | −0.239825 | + | 0.411401i | ||||
\(937\) | 2.16440 | + | 20.5929i | 0.0707078 | + | 0.672739i | 0.971265 | + | 0.238001i | \(0.0764923\pi\) |
−0.900557 | + | 0.434738i | \(0.856841\pi\) | |||||||
\(938\) | 18.8335 | − | 25.9221i | 0.614935 | − | 0.846386i | ||||
\(939\) | 22.2503 | + | 2.38573i | 0.726112 | + | 0.0778552i | ||||
\(940\) | −6.35046 | + | 7.05290i | −0.207129 | + | 0.230040i | ||||
\(941\) | 17.6372 | + | 7.85258i | 0.574956 | + | 0.255987i | 0.673551 | − | 0.739141i | \(-0.264768\pi\) |
−0.0985952 | + | 0.995128i | \(0.531435\pi\) | |||||||
\(942\) | 3.70396 | − | 17.2481i | 0.120681 | − | 0.561972i | ||||
\(943\) | 2.85095 | + | 13.4127i | 0.0928397 | + | 0.436776i | ||||
\(944\) | 1.15251 | + | 2.58857i | 0.0375109 | + | 0.0842509i | ||||
\(945\) | 22.6651 | + | 7.52210i | 0.737297 | + | 0.244694i | ||||
\(946\) | −2.22580 | + | 6.85032i | −0.0723671 | + | 0.222723i | ||||
\(947\) | 44.4790 | − | 19.8033i | 1.44537 | − | 0.643522i | 0.473880 | − | 0.880589i | \(-0.342853\pi\) |
0.971493 | + | 0.237067i | \(0.0761862\pi\) | |||||||
\(948\) | −5.00586 | − | 23.7956i | −0.162583 | − | 0.772846i | ||||
\(949\) | 37.0831 | + | 7.88226i | 1.20377 | + | 0.255869i | ||||
\(950\) | −0.385618 | + | 0.866112i | −0.0125111 | + | 0.0281004i | ||||
\(951\) | 37.8140 | + | 34.1916i | 1.22620 | + | 1.10874i | ||||
\(952\) | −8.62696 | − | 0.906730i | −0.279601 | − | 0.0293873i | ||||
\(953\) | −5.14905 | − | 3.74100i | −0.166794 | − | 0.121183i | 0.501257 | − | 0.865299i | \(-0.332871\pi\) |
−0.668051 | + | 0.744116i | \(0.732871\pi\) | |||||||
\(954\) | 0.332641 | − | 0.0335540i | 0.0107696 | − | 0.00108635i | ||||
\(955\) | −8.20029 | + | 14.2033i | −0.265355 | + | 0.459609i | ||||
\(956\) | −6.62398 | − | 11.4731i | −0.214235 | − | 0.371066i | ||||
\(957\) | 2.16702 | − | 1.56751i | 0.0700497 | − | 0.0506703i | ||||
\(958\) | −14.4217 | − | 16.0170i | −0.465945 | − | 0.517484i | ||||
\(959\) | 3.62522 | + | 11.1573i | 0.117064 | + | 0.360287i | ||||
\(960\) | 0.00362720 | − | 1.73205i | 0.000117067 | − | 0.0559016i | ||||
\(961\) | 4.51916 | + | 30.6688i | 0.145779 | + | 0.989317i | ||||
\(962\) | − | 21.7405i | − | 0.700942i | ||||||
\(963\) | 49.5125 | − | 15.8586i | 1.59552 | − | 0.511037i | ||||
\(964\) | 13.5539 | − | 12.2040i | 0.436541 | − | 0.393064i | ||||
\(965\) | −0.598424 | − | 0.823661i | −0.0192640 | − | 0.0265146i | ||||
\(966\) | −10.3778 | + | 5.96271i | −0.333901 | + | 0.191847i | ||||
\(967\) | −20.6194 | − | 11.9046i | −0.663076 | − | 0.382827i | 0.130372 | − | 0.991465i | \(-0.458383\pi\) |
−0.793448 | + | 0.608638i | \(0.791716\pi\) | |||||||
\(968\) | 10.6220 | − | 1.11641i | 0.341402 | − | 0.0358828i | ||||
\(969\) | 2.50367 | + | 1.82705i | 0.0804295 | + | 0.0586932i | ||||
\(970\) | −0.145686 | + | 1.38611i | −0.00467769 | + | 0.0445052i | ||||
\(971\) | −10.3662 | − | 9.33380i | −0.332668 | − | 0.299536i | 0.485820 | − | 0.874059i | \(-0.338521\pi\) |
−0.818489 | + | 0.574523i | \(0.805188\pi\) | |||||||
\(972\) | 14.1736 | + | 6.48916i | 0.454618 | + | 0.208140i | ||||
\(973\) | −8.80908 | + | 41.4435i | −0.282406 | + | 1.32862i | ||||
\(974\) | 6.17772 | − | 1.31311i | 0.197947 | − | 0.0420749i | ||||
\(975\) | 3.40512 | + | 7.69132i | 0.109051 | + | 0.246319i | ||||
\(976\) | 4.10089 | + | 1.33246i | 0.131266 | + | 0.0426510i | ||||
\(977\) | −35.4761 | − | 11.5269i | −1.13498 | − | 0.368778i | −0.319515 | − | 0.947581i | \(-0.603520\pi\) |
−0.815467 | + | 0.578803i | \(0.803520\pi\) | |||||||
\(978\) | −5.57547 | − | 12.5936i | −0.178284 | − | 0.402700i | ||||
\(979\) | −1.02762 | + | 0.218427i | −0.0328429 | + | 0.00698097i | ||||
\(980\) | 2.93610 | − | 13.8133i | 0.0937904 | − | 0.441249i | ||||
\(981\) | −2.89203 | − | 1.30215i | −0.0923353 | − | 0.0415746i | ||||
\(982\) | −3.93056 | − | 3.53909i | −0.125429 | − | 0.112937i | ||||
\(983\) | 4.88618 | − | 46.4889i | 0.155845 | − | 1.48276i | −0.584970 | − | 0.811055i | \(-0.698894\pi\) |
0.740815 | − | 0.671709i | \(-0.234440\pi\) | |||||||
\(984\) | −12.7597 | − | 9.31137i | −0.406765 | − | 0.296836i | ||||
\(985\) | 18.9388 | − | 1.99055i | 0.603441 | − | 0.0634242i | ||||
\(986\) | −4.46508 | − | 2.57791i | −0.142197 | − | 0.0820975i | ||||
\(987\) | −65.5051 | + | 37.6367i | −2.08505 | + | 1.19799i | ||||
\(988\) | −2.70626 | − | 3.72484i | −0.0860975 | − | 0.118503i | ||||
\(989\) | 14.2377 | − | 12.8197i | 0.452733 | − | 0.407643i | ||||
\(990\) | −0.517283 | − | 1.61502i | −0.0164403 | − | 0.0513287i | ||||
\(991\) | − | 20.1987i | − | 0.641634i | −0.947141 | − | 0.320817i | \(-0.896043\pi\) | ||
0.947141 | − | 0.320817i | \(-0.103957\pi\) | |||||||
\(992\) | −3.63874 | + | 4.21421i | −0.115530 | + | 0.133801i | ||||
\(993\) | 0.0710828 | − | 33.9432i | 0.00225575 | − | 1.07716i | ||||
\(994\) | −13.5467 | − | 41.6926i | −0.429677 | − | 1.32241i | ||||
\(995\) | −18.5797 | − | 20.6349i | −0.589017 | − | 0.654169i | ||||
\(996\) | 14.6649 | − | 10.6078i | 0.464676 | − | 0.336122i | ||||
\(997\) | −6.19765 | − | 10.7346i | −0.196282 | − | 0.339970i | 0.751038 | − | 0.660259i | \(-0.229553\pi\) |
−0.947320 | + | 0.320289i | \(0.896220\pi\) | |||||||
\(998\) | −17.1434 | + | 29.6932i | −0.542665 | + | 0.939923i | ||||
\(999\) | −23.1493 | + | 2.28614i | −0.732411 | + | 0.0723303i |
(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 | 930.2.br.b.11.3 | ✓ | 176 | |
3.2 | odd | 2 | inner | 930.2.br.b.11.19 | yes | 176 | |
31.17 | odd | 30 | inner | 930.2.br.b.761.19 | yes | 176 | |
93.17 | even | 30 | inner | 930.2.br.b.761.3 | yes | 176 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.br.b.11.3 | ✓ | 176 | 1.1 | even | 1 | trivial | |
930.2.br.b.11.19 | yes | 176 | 3.2 | odd | 2 | inner | |
930.2.br.b.761.3 | yes | 176 | 93.17 | even | 30 | inner | |
930.2.br.b.761.19 | yes | 176 | 31.17 | odd | 30 | inner |