Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(29,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.y (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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 29.7 | ||
Character | \(\chi\) | \(=\) | 930.29 |
Dual form | 930.2.y.b.449.7 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.809017 | + | 0.587785i | 0.572061 | + | 0.415627i | ||||
\(3\) | −1.46850 | + | 0.918426i | −0.847839 | + | 0.530254i | ||||
\(4\) | 0.309017 | + | 0.951057i | 0.154508 | + | 0.475528i | ||||
\(5\) | 2.11788 | + | 0.717333i | 0.947147 | + | 0.320801i | ||||
\(6\) | −1.72788 | − | 0.120141i | −0.705404 | − | 0.0490472i | ||||
\(7\) | 0.344014 | − | 0.111777i | 0.130025 | − | 0.0422477i | −0.243282 | − | 0.969956i | \(-0.578224\pi\) |
0.373307 | + | 0.927708i | \(0.378224\pi\) | |||||||
\(8\) | −0.309017 | + | 0.951057i | −0.109254 | + | 0.336249i | ||||
\(9\) | 1.31299 | − | 2.69742i | 0.437662 | − | 0.899139i | ||||
\(10\) | 1.29177 | + | 1.82520i | 0.408492 | + | 0.577178i | ||||
\(11\) | 0.958310 | + | 2.94937i | 0.288941 | + | 0.889270i | 0.985190 | + | 0.171469i | \(0.0548513\pi\) |
−0.696248 | + | 0.717801i | \(0.745149\pi\) | |||||||
\(12\) | −1.32727 | − | 1.11282i | −0.383149 | − | 0.321243i | ||||
\(13\) | −0.514703 | + | 0.373954i | −0.142753 | + | 0.103716i | −0.656870 | − | 0.754004i | \(-0.728120\pi\) |
0.514117 | + | 0.857720i | \(0.328120\pi\) | |||||||
\(14\) | 0.344014 | + | 0.111777i | 0.0919416 | + | 0.0298736i | ||||
\(15\) | −3.76893 | + | 0.891716i | −0.973134 | + | 0.230240i | ||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | −3.42872 | − | 1.11406i | −0.831587 | − | 0.270199i | −0.137873 | − | 0.990450i | \(-0.544027\pi\) |
−0.693714 | + | 0.720251i | \(0.744027\pi\) | |||||||
\(18\) | 2.64773 | − | 1.41050i | 0.624076 | − | 0.332459i | ||||
\(19\) | 6.21594 | + | 4.51615i | 1.42604 | + | 1.03608i | 0.990738 | + | 0.135788i | \(0.0433567\pi\) |
0.435297 | + | 0.900287i | \(0.356643\pi\) | |||||||
\(20\) | −0.0277621 | + | 2.23590i | −0.00620779 | + | 0.499961i | ||||
\(21\) | −0.402526 | + | 0.480096i | −0.0878383 | + | 0.104765i | ||||
\(22\) | −0.958310 | + | 2.94937i | −0.204312 | + | 0.628809i | ||||
\(23\) | 3.39722 | + | 1.10382i | 0.708370 | + | 0.230163i | 0.640974 | − | 0.767563i | \(-0.278531\pi\) |
0.0673964 | + | 0.997726i | \(0.478531\pi\) | |||||||
\(24\) | −0.419684 | − | 1.68044i | −0.0856675 | − | 0.343018i | ||||
\(25\) | 3.97087 | + | 3.03846i | 0.794173 | + | 0.607691i | ||||
\(26\) | −0.636208 | −0.124771 | ||||||||
\(27\) | 0.549258 | + | 5.16704i | 0.105705 | + | 0.994398i | ||||
\(28\) | 0.212612 | + | 0.292636i | 0.0401799 | + | 0.0553029i | ||||
\(29\) | 2.09538 | + | 1.52238i | 0.389103 | + | 0.282700i | 0.765088 | − | 0.643926i | \(-0.222696\pi\) |
−0.375985 | + | 0.926626i | \(0.622696\pi\) | |||||||
\(30\) | −3.57327 | − | 1.49391i | −0.652386 | − | 0.272749i | ||||
\(31\) | −5.14638 | − | 2.12480i | −0.924317 | − | 0.381625i | ||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | −4.11606 | − | 3.45102i | −0.716514 | − | 0.600746i | ||||
\(34\) | −2.11907 | − | 2.91664i | −0.363417 | − | 0.500200i | ||||
\(35\) | 0.808763 | + | 0.0100420i | 0.136706 | + | 0.00169741i | ||||
\(36\) | 2.97113 | + | 0.415177i | 0.495189 | + | 0.0691961i | ||||
\(37\) | −7.20923 | −1.18519 | −0.592595 | − | 0.805501i | \(-0.701896\pi\) | ||||
−0.592595 | + | 0.805501i | \(0.701896\pi\) | |||||||
\(38\) | 2.37428 | + | 7.30728i | 0.385159 | + | 1.18540i | ||||
\(39\) | 0.412393 | − | 1.02187i | 0.0660357 | − | 0.163630i | ||||
\(40\) | −1.33669 | + | 1.79256i | −0.211349 | + | 0.283429i | ||||
\(41\) | 6.67913 | − | 9.19304i | 1.04311 | − | 1.43571i | 0.148469 | − | 0.988917i | \(-0.452565\pi\) |
0.894637 | − | 0.446795i | \(-0.147435\pi\) | |||||||
\(42\) | −0.607843 | + | 0.151807i | −0.0937922 | + | 0.0234243i | ||||
\(43\) | −5.56022 | − | 4.03974i | −0.847926 | − | 0.616055i | 0.0766472 | − | 0.997058i | \(-0.475578\pi\) |
−0.924573 | + | 0.381004i | \(0.875578\pi\) | |||||||
\(44\) | −2.50889 | + | 1.82281i | −0.378229 | + | 0.274800i | ||||
\(45\) | 4.71570 | − | 4.77097i | 0.702975 | − | 0.711214i | ||||
\(46\) | 2.09960 | + | 2.88985i | 0.309569 | + | 0.426085i | ||||
\(47\) | −7.06025 | + | 5.12957i | −1.02984 | + | 0.748225i | −0.968277 | − | 0.249878i | \(-0.919610\pi\) |
−0.0615664 | + | 0.998103i | \(0.519610\pi\) | |||||||
\(48\) | 0.648204 | − | 1.60619i | 0.0935603 | − | 0.231833i | ||||
\(49\) | −5.55727 | + | 4.03759i | −0.793895 | + | 0.576799i | ||||
\(50\) | 1.42654 | + | 4.79218i | 0.201743 | + | 0.677717i | ||||
\(51\) | 6.05826 | − | 1.51303i | 0.848326 | − | 0.211867i | ||||
\(52\) | −0.514703 | − | 0.373954i | −0.0713765 | − | 0.0518580i | ||||
\(53\) | 1.15194 | + | 0.374287i | 0.158231 | + | 0.0514122i | 0.387061 | − | 0.922054i | \(-0.373490\pi\) |
−0.228831 | + | 0.973466i | \(0.573490\pi\) | |||||||
\(54\) | −2.59275 | + | 4.50307i | −0.352829 | + | 0.612790i | ||||
\(55\) | −0.0860946 | + | 6.93386i | −0.0116090 | + | 0.934962i | ||||
\(56\) | 0.361718i | 0.0483365i | ||||||||
\(57\) | −13.2759 | − | 0.923079i | −1.75843 | − | 0.122265i | ||||
\(58\) | 0.800365 | + | 2.46327i | 0.105093 | + | 0.323443i | ||||
\(59\) | 2.31107 | + | 3.18092i | 0.300876 | + | 0.414120i | 0.932509 | − | 0.361147i | \(-0.117615\pi\) |
−0.631633 | + | 0.775268i | \(0.717615\pi\) | |||||||
\(60\) | −2.01274 | − | 3.30891i | −0.259843 | − | 0.427179i | ||||
\(61\) | 10.8583i | 1.39026i | 0.718885 | + | 0.695129i | \(0.244653\pi\) | ||||
−0.718885 | + | 0.695129i | \(0.755347\pi\) | |||||||
\(62\) | −2.91458 | − | 4.74397i | −0.370152 | − | 0.602484i | ||||
\(63\) | 0.150177 | − | 1.07471i | 0.0189205 | − | 0.135401i | ||||
\(64\) | −0.809017 | − | 0.587785i | −0.101127 | − | 0.0734732i | ||||
\(65\) | −1.35833 | + | 0.422777i | −0.168480 | + | 0.0524390i | ||||
\(66\) | −1.30150 | − | 5.21129i | −0.160204 | − | 0.641466i | ||||
\(67\) | 15.1272i | 1.84809i | 0.382287 | + | 0.924043i | \(0.375136\pi\) | ||||
−0.382287 | + | 0.924043i | \(0.624864\pi\) | |||||||
\(68\) | − | 3.60517i | − | 0.437191i | ||||||
\(69\) | −6.00260 | + | 1.49913i | −0.722629 | + | 0.180474i | ||||
\(70\) | 0.648400 | + | 0.483503i | 0.0774986 | + | 0.0577896i | ||||
\(71\) | 7.08557 | + | 2.30224i | 0.840903 | + | 0.273226i | 0.697631 | − | 0.716458i | \(-0.254238\pi\) |
0.143272 | + | 0.989683i | \(0.454238\pi\) | |||||||
\(72\) | 2.15966 | + | 2.08227i | 0.254519 | + | 0.245398i | ||||
\(73\) | −1.81726 | − | 5.59295i | −0.212694 | − | 0.654605i | −0.999309 | − | 0.0371613i | \(-0.988168\pi\) |
0.786615 | − | 0.617443i | \(-0.211832\pi\) | |||||||
\(74\) | −5.83239 | − | 4.23748i | −0.678001 | − | 0.492597i | ||||
\(75\) | −8.62182 | − | 0.815027i | −0.995562 | − | 0.0941112i | ||||
\(76\) | −2.37428 | + | 7.30728i | −0.272348 | + | 0.838202i | ||||
\(77\) | 0.659344 | + | 0.907509i | 0.0751392 | + | 0.103420i | ||||
\(78\) | 0.934272 | − | 0.584310i | 0.105785 | − | 0.0661601i | ||||
\(79\) | 5.41909 | + | 1.76077i | 0.609695 | + | 0.198102i | 0.597560 | − | 0.801824i | \(-0.296137\pi\) |
0.0121356 | + | 0.999926i | \(0.496137\pi\) | |||||||
\(80\) | −2.13504 | + | 0.664526i | −0.238705 | + | 0.0742963i | ||||
\(81\) | −5.55213 | − | 7.08335i | −0.616903 | − | 0.787039i | ||||
\(82\) | 10.8071 | − | 3.51143i | 1.19344 | − | 0.387772i | ||||
\(83\) | 7.61938 | − | 10.4872i | 0.836336 | − | 1.15112i | −0.150375 | − | 0.988629i | \(-0.548048\pi\) |
0.986710 | − | 0.162488i | \(-0.0519520\pi\) | |||||||
\(84\) | −0.580985 | − | 0.234467i | −0.0633907 | − | 0.0255824i | ||||
\(85\) | −6.46248 | − | 4.81898i | −0.700955 | − | 0.522692i | ||||
\(86\) | −2.12382 | − | 6.53644i | −0.229017 | − | 0.704842i | ||||
\(87\) | −4.47527 | − | 0.311168i | −0.479799 | − | 0.0333607i | ||||
\(88\) | −3.10116 | −0.330584 | ||||||||
\(89\) | −4.86494 | − | 14.9727i | −0.515682 | − | 1.58711i | −0.782037 | − | 0.623232i | \(-0.785819\pi\) |
0.266355 | − | 0.963875i | \(-0.414181\pi\) | |||||||
\(90\) | 6.61939 | − | 1.08798i | 0.697745 | − | 0.114683i | ||||
\(91\) | −0.135266 | + | 0.186177i | −0.0141797 | + | 0.0195167i | ||||
\(92\) | 3.57205i | 0.372412i | ||||||||
\(93\) | 9.50893 | − | 1.60630i | 0.986030 | − | 0.166565i | ||||
\(94\) | −8.72695 | −0.900117 | ||||||||
\(95\) | 9.92507 | + | 14.0236i | 1.01829 | + | 1.43879i | ||||
\(96\) | 1.46850 | − | 0.918426i | 0.149878 | − | 0.0937365i | ||||
\(97\) | 0.210577 | − | 0.0684205i | 0.0213808 | − | 0.00694705i | −0.298307 | − | 0.954470i | \(-0.596422\pi\) |
0.319688 | + | 0.947523i | \(0.396422\pi\) | |||||||
\(98\) | −6.86916 | −0.693890 | ||||||||
\(99\) | 9.21395 | + | 1.28753i | 0.926036 | + | 0.129401i | ||||
\(100\) | −1.66268 | + | 4.71545i | −0.166268 | + | 0.471545i | ||||
\(101\) | −3.28726 | − | 1.06810i | −0.327095 | − | 0.106280i | 0.140866 | − | 0.990029i | \(-0.455011\pi\) |
−0.467961 | + | 0.883749i | \(0.655011\pi\) | |||||||
\(102\) | 5.79057 | + | 2.33689i | 0.573352 | + | 0.231386i | ||||
\(103\) | 5.77241 | − | 7.94505i | 0.568773 | − | 0.782849i | −0.423636 | − | 0.905833i | \(-0.639246\pi\) |
0.992409 | + | 0.122984i | \(0.0392464\pi\) | |||||||
\(104\) | −0.196599 | − | 0.605070i | −0.0192781 | − | 0.0593320i | ||||
\(105\) | −1.19689 | + | 0.728042i | −0.116805 | + | 0.0710496i | ||||
\(106\) | 0.711936 | + | 0.979895i | 0.0691493 | + | 0.0951759i | ||||
\(107\) | 1.77438 | − | 5.46097i | 0.171536 | − | 0.527932i | −0.827923 | − | 0.560842i | \(-0.810477\pi\) |
0.999458 | + | 0.0329099i | \(0.0104774\pi\) | |||||||
\(108\) | −4.74442 | + | 2.11908i | −0.456532 | + | 0.203908i | ||||
\(109\) | −0.546140 | + | 0.396794i | −0.0523108 | + | 0.0380060i | −0.613633 | − | 0.789591i | \(-0.710293\pi\) |
0.561323 | + | 0.827597i | \(0.310293\pi\) | |||||||
\(110\) | −4.14527 | + | 5.55901i | −0.395236 | + | 0.530030i | ||||
\(111\) | 10.5868 | − | 6.62114i | 1.00485 | − | 0.628451i | ||||
\(112\) | −0.212612 | + | 0.292636i | −0.0200900 | + | 0.0276515i | ||||
\(113\) | −2.84263 | − | 8.74872i | −0.267412 | − | 0.823011i | −0.991128 | − | 0.132912i | \(-0.957567\pi\) |
0.723716 | − | 0.690098i | \(-0.242433\pi\) | |||||||
\(114\) | −10.1978 | − | 8.55014i | −0.955114 | − | 0.800794i | ||||
\(115\) | 6.40312 | + | 4.77471i | 0.597094 | + | 0.445244i | ||||
\(116\) | −0.800365 | + | 2.46327i | −0.0743120 | + | 0.228709i | ||||
\(117\) | 0.332911 | + | 1.87937i | 0.0307776 | + | 0.173747i | ||||
\(118\) | 3.93183i | 0.361954i | ||||||||
\(119\) | −1.30405 | −0.119542 | ||||||||
\(120\) | 0.316591 | − | 3.86002i | 0.0289007 | − | 0.352370i | ||||
\(121\) | 1.11873 | − | 0.812808i | 0.101703 | − | 0.0738916i | ||||
\(122\) | −6.38232 | + | 8.78452i | −0.577828 | + | 0.795313i | ||||
\(123\) | −1.36518 | + | 19.6343i | −0.123094 | + | 1.77036i | ||||
\(124\) | 0.430487 | − | 5.55110i | 0.0386588 | − | 0.498503i | ||||
\(125\) | 6.23025 | + | 9.28353i | 0.557250 | + | 0.830344i | ||||
\(126\) | 0.753195 | − | 0.781188i | 0.0670999 | − | 0.0695937i | ||||
\(127\) | 7.38582 | − | 5.36611i | 0.655385 | − | 0.476165i | −0.209716 | − | 0.977762i | \(-0.567254\pi\) |
0.865101 | + | 0.501597i | \(0.167254\pi\) | |||||||
\(128\) | −0.309017 | − | 0.951057i | −0.0273135 | − | 0.0840623i | ||||
\(129\) | 11.8754 | + | 0.825704i | 1.04557 | + | 0.0726992i | ||||
\(130\) | −1.34741 | − | 0.456373i | −0.118176 | − | 0.0400266i | ||||
\(131\) | 20.5246 | − | 6.66883i | 1.79324 | − | 0.582659i | 0.793572 | − | 0.608476i | \(-0.208219\pi\) |
0.999667 | + | 0.0258174i | \(0.00821884\pi\) | |||||||
\(132\) | 2.01018 | − | 4.98103i | 0.174964 | − | 0.433543i | ||||
\(133\) | 2.64317 | + | 0.858818i | 0.229192 | + | 0.0744690i | ||||
\(134\) | −8.89157 | + | 12.2382i | −0.768115 | + | 1.05722i | ||||
\(135\) | −2.54323 | + | 11.3372i | −0.218886 | + | 0.975750i | ||||
\(136\) | 2.11907 | − | 2.91664i | 0.181708 | − | 0.250100i | ||||
\(137\) | −0.531951 | − | 0.732168i | −0.0454476 | − | 0.0625533i | 0.785688 | − | 0.618622i | \(-0.212309\pi\) |
−0.831136 | + | 0.556069i | \(0.812309\pi\) | |||||||
\(138\) | −5.73738 | − | 2.31542i | −0.488398 | − | 0.197102i | ||||
\(139\) | −2.43192 | − | 3.34725i | −0.206273 | − | 0.283910i | 0.693329 | − | 0.720621i | \(-0.256143\pi\) |
−0.899602 | + | 0.436711i | \(0.856143\pi\) | |||||||
\(140\) | 0.240371 | + | 0.772282i | 0.0203150 | + | 0.0652697i | ||||
\(141\) | 5.65685 | − | 14.0171i | 0.476393 | − | 1.18045i | ||||
\(142\) | 4.37912 | + | 6.02735i | 0.367488 | + | 0.505804i | ||||
\(143\) | −1.59617 | − | 1.15969i | −0.133479 | − | 0.0969780i | ||||
\(144\) | 0.523274 | + | 2.95401i | 0.0436062 | + | 0.246168i | ||||
\(145\) | 3.34572 | + | 4.72732i | 0.277847 | + | 0.392583i | ||||
\(146\) | 1.81726 | − | 5.59295i | 0.150397 | − | 0.462875i | ||||
\(147\) | 4.45262 | − | 11.0331i | 0.367246 | − | 0.909998i | ||||
\(148\) | −2.22777 | − | 6.85638i | −0.183122 | − | 0.563591i | ||||
\(149\) | − | 21.0917i | − | 1.72790i | −0.503581 | − | 0.863948i | \(-0.667985\pi\) | ||
0.503581 | − | 0.863948i | \(-0.332015\pi\) | |||||||
\(150\) | −6.49614 | − | 5.72715i | −0.530407 | − | 0.467620i | ||||
\(151\) | −2.90825 | + | 0.944947i | −0.236670 | + | 0.0768987i | −0.424951 | − | 0.905217i | \(-0.639709\pi\) |
0.188281 | + | 0.982115i | \(0.439709\pi\) | |||||||
\(152\) | −6.21594 | + | 4.51615i | −0.504180 | + | 0.366308i | ||||
\(153\) | −7.50695 | + | 7.78595i | −0.606901 | + | 0.629457i | ||||
\(154\) | 1.12174i | 0.0903926i | ||||||||
\(155\) | −9.37525 | − | 8.19175i | −0.753038 | − | 0.657977i | ||||
\(156\) | 1.09929 | + | 0.0764344i | 0.0880137 | + | 0.00611965i | ||||
\(157\) | −2.43102 | + | 3.34602i | −0.194017 | + | 0.267041i | −0.894931 | − | 0.446204i | \(-0.852776\pi\) |
0.700914 | + | 0.713245i | \(0.252776\pi\) | |||||||
\(158\) | 3.34918 | + | 4.60975i | 0.266447 | + | 0.366732i | ||||
\(159\) | −2.03537 | + | 0.508328i | −0.161416 | + | 0.0403130i | ||||
\(160\) | −2.11788 | − | 0.717333i | −0.167433 | − | 0.0567102i | ||||
\(161\) | 1.29207 | 0.101830 | ||||||||
\(162\) | −0.328279 | − | 8.99401i | −0.0257921 | − | 0.706636i | ||||
\(163\) | 7.42944 | + | 2.41397i | 0.581919 | + | 0.189077i | 0.585160 | − | 0.810918i | \(-0.301032\pi\) |
−0.00324116 | + | 0.999995i | \(0.501032\pi\) | |||||||
\(164\) | 10.8071 | + | 3.51143i | 0.843890 | + | 0.274197i | ||||
\(165\) | −6.24181 | − | 10.2614i | −0.485924 | − | 0.798853i | ||||
\(166\) | 12.3284 | − | 4.00575i | 0.956871 | − | 0.310906i | ||||
\(167\) | −2.58853 | + | 3.56280i | −0.200306 | + | 0.275698i | −0.897340 | − | 0.441341i | \(-0.854503\pi\) |
0.697033 | + | 0.717039i | \(0.254503\pi\) | |||||||
\(168\) | −0.332211 | − | 0.531182i | −0.0256306 | − | 0.0409816i | ||||
\(169\) | −3.89214 | + | 11.9788i | −0.299396 | + | 0.921445i | ||||
\(170\) | −2.39573 | − | 7.69719i | −0.183744 | − | 0.590347i | ||||
\(171\) | 20.3434 | − | 10.8374i | 1.55570 | − | 0.828753i | ||||
\(172\) | 2.12382 | − | 6.53644i | 0.161940 | − | 0.498399i | ||||
\(173\) | 12.3328 | − | 8.96029i | 0.937644 | − | 0.681239i | −0.0102081 | − | 0.999948i | \(-0.503249\pi\) |
0.947852 | + | 0.318709i | \(0.103249\pi\) | |||||||
\(174\) | −3.43767 | − | 2.88224i | −0.260609 | − | 0.218502i | ||||
\(175\) | 1.70566 | + | 0.601420i | 0.128936 | + | 0.0454631i | ||||
\(176\) | −2.50889 | − | 1.82281i | −0.189115 | − | 0.137400i | ||||
\(177\) | −6.31525 | − | 2.54863i | −0.474683 | − | 0.191567i | ||||
\(178\) | 4.86494 | − | 14.9727i | 0.364642 | − | 1.12225i | ||||
\(179\) | 6.36246 | + | 19.5817i | 0.475553 | + | 1.46360i | 0.845211 | + | 0.534433i | \(0.179475\pi\) |
−0.369658 | + | 0.929168i | \(0.620525\pi\) | |||||||
\(180\) | 5.99469 | + | 3.01059i | 0.446818 | + | 0.224396i | ||||
\(181\) | 11.0418i | 0.820730i | 0.911921 | + | 0.410365i | \(0.134599\pi\) | ||||
−0.911921 | + | 0.410365i | \(0.865401\pi\) | |||||||
\(182\) | −0.218864 | + | 0.0711133i | −0.0162233 | + | 0.00527127i | ||||
\(183\) | −9.97251 | − | 15.9454i | −0.737189 | − | 1.17871i | ||||
\(184\) | −2.09960 | + | 2.88985i | −0.154785 | + | 0.213043i | ||||
\(185\) | −15.2683 | − | 5.17142i | −1.12255 | − | 0.380210i | ||||
\(186\) | 8.63705 | + | 4.28969i | 0.633299 | + | 0.314535i | ||||
\(187\) | − | 11.1802i | − | 0.817577i | ||||||
\(188\) | −7.06025 | − | 5.12957i | −0.514922 | − | 0.374113i | ||||
\(189\) | 0.766508 | + | 1.71614i | 0.0557552 | + | 0.124831i | ||||
\(190\) | −0.213305 | + | 17.1791i | −0.0154748 | + | 1.24630i | ||||
\(191\) | − | 17.4375i | − | 1.26174i | −0.775890 | − | 0.630868i | \(-0.782699\pi\) | ||
0.775890 | − | 0.630868i | \(-0.217301\pi\) | |||||||
\(192\) | 1.72788 | + | 0.120141i | 0.124699 | + | 0.00867040i | ||||
\(193\) | 18.0688 | − | 5.87089i | 1.30062 | − | 0.422596i | 0.424821 | − | 0.905277i | \(-0.360337\pi\) |
0.875796 | + | 0.482681i | \(0.160337\pi\) | |||||||
\(194\) | 0.210577 | + | 0.0684205i | 0.0151185 | + | 0.00491231i | ||||
\(195\) | 1.60642 | − | 1.86837i | 0.115038 | − | 0.133797i | ||||
\(196\) | −5.55727 | − | 4.03759i | −0.396948 | − | 0.288399i | ||||
\(197\) | 14.8730 | − | 4.83252i | 1.05966 | − | 0.344303i | 0.273205 | − | 0.961956i | \(-0.411916\pi\) |
0.786451 | + | 0.617653i | \(0.211916\pi\) | |||||||
\(198\) | 6.69745 | + | 6.45745i | 0.475967 | + | 0.458911i | ||||
\(199\) | −7.50039 | − | 10.3234i | −0.531688 | − | 0.731806i | 0.455698 | − | 0.890134i | \(-0.349390\pi\) |
−0.987387 | + | 0.158328i | \(0.949390\pi\) | |||||||
\(200\) | −4.11681 | + | 2.83758i | −0.291102 | + | 0.200647i | ||||
\(201\) | −13.8933 | − | 22.2144i | −0.979955 | − | 1.56688i | ||||
\(202\) | −2.03164 | − | 2.79631i | −0.142946 | − | 0.196748i | ||||
\(203\) | 0.891008 | + | 0.289506i | 0.0625365 | + | 0.0203193i | ||||
\(204\) | 3.31108 | + | 5.29419i | 0.231822 | + | 0.370668i | ||||
\(205\) | 20.7401 | − | 14.6786i | 1.44855 | − | 1.02520i | ||||
\(206\) | 9.33996 | − | 3.03474i | 0.650746 | − | 0.211440i | ||||
\(207\) | 7.43799 | − | 7.71442i | 0.516976 | − | 0.536190i | ||||
\(208\) | 0.196599 | − | 0.605070i | 0.0136317 | − | 0.0419540i | ||||
\(209\) | −7.36301 | + | 22.6610i | −0.509310 | + | 1.56749i | ||||
\(210\) | −1.39624 | − | 0.114517i | −0.0963495 | − | 0.00790240i | ||||
\(211\) | −18.1664 | −1.25063 | −0.625313 | − | 0.780374i | \(-0.715029\pi\) | ||||
−0.625313 | + | 0.780374i | \(0.715029\pi\) | |||||||
\(212\) | 1.21122i | 0.0831867i | ||||||||
\(213\) | −12.5196 | + | 3.12673i | −0.857829 | + | 0.214240i | ||||
\(214\) | 4.64538 | − | 3.37507i | 0.317552 | − | 0.230715i | ||||
\(215\) | −8.87807 | − | 12.5442i | −0.605480 | − | 0.855510i | ||||
\(216\) | −5.08388 | − | 1.07433i | −0.345914 | − | 0.0730988i | ||||
\(217\) | −2.00793 | − | 0.155715i | −0.136307 | − | 0.0105706i | ||||
\(218\) | −0.675067 | −0.0457213 | ||||||||
\(219\) | 7.80535 | + | 6.54422i | 0.527437 | + | 0.442218i | ||||
\(220\) | −6.62110 | + | 2.06080i | −0.446394 | + | 0.138939i | ||||
\(221\) | 2.18138 | − | 0.708773i | 0.146735 | − | 0.0476772i | ||||
\(222\) | 12.4567 | + | 0.866120i | 0.836037 | + | 0.0581302i | ||||
\(223\) | 21.1753 | 1.41801 | 0.709003 | − | 0.705205i | \(-0.249145\pi\) | ||||
0.709003 | + | 0.705205i | \(0.249145\pi\) | |||||||
\(224\) | −0.344014 | + | 0.111777i | −0.0229854 | + | 0.00746841i | ||||
\(225\) | 13.4097 | − | 6.72163i | 0.893979 | − | 0.448109i | ||||
\(226\) | 2.84263 | − | 8.74872i | 0.189089 | − | 0.581956i | ||||
\(227\) | 2.16784 | + | 1.57502i | 0.143884 | + | 0.104538i | 0.657399 | − | 0.753543i | \(-0.271657\pi\) |
−0.513514 | + | 0.858081i | \(0.671657\pi\) | |||||||
\(228\) | −3.22457 | − | 12.9113i | −0.213552 | − | 0.855074i | ||||
\(229\) | 12.9786 | − | 17.8634i | 0.857647 | − | 1.18045i | −0.124479 | − | 0.992222i | \(-0.539726\pi\) |
0.982125 | − | 0.188227i | \(-0.0602742\pi\) | |||||||
\(230\) | 2.37372 | + | 7.62648i | 0.156519 | + | 0.502875i | ||||
\(231\) | −1.80173 | − | 0.727118i | −0.118545 | − | 0.0478409i | ||||
\(232\) | −2.09538 | + | 1.52238i | −0.137569 | + | 0.0999494i | ||||
\(233\) | −3.32074 | + | 2.41266i | −0.217549 | + | 0.158058i | −0.691223 | − | 0.722642i | \(-0.742928\pi\) |
0.473674 | + | 0.880700i | \(0.342928\pi\) | |||||||
\(234\) | −0.835333 | + | 1.71612i | −0.0546074 | + | 0.112186i | ||||
\(235\) | −18.6324 | + | 5.79929i | −1.21544 | + | 0.378304i | ||||
\(236\) | −2.31107 | + | 3.18092i | −0.150438 | + | 0.207060i | ||||
\(237\) | −9.57508 | + | 2.39134i | −0.621968 | + | 0.155335i | ||||
\(238\) | −1.05500 | − | 0.766503i | −0.0683856 | − | 0.0496850i | ||||
\(239\) | −7.79845 | + | 24.0012i | −0.504440 | + | 1.55251i | 0.297271 | + | 0.954793i | \(0.403924\pi\) |
−0.801710 | + | 0.597713i | \(0.796076\pi\) | |||||||
\(240\) | 2.52499 | − | 2.93674i | 0.162988 | − | 0.189565i | ||||
\(241\) | 5.02958 | − | 1.63421i | 0.323984 | − | 0.105269i | −0.142510 | − | 0.989793i | \(-0.545517\pi\) |
0.466493 | + | 0.884525i | \(0.345517\pi\) | |||||||
\(242\) | 1.38283 | 0.0888918 | ||||||||
\(243\) | 14.6588 | + | 5.30268i | 0.940365 | + | 0.340167i | ||||
\(244\) | −10.3268 | + | 3.35539i | −0.661107 | + | 0.214807i | ||||
\(245\) | −14.6659 | + | 4.56474i | −0.936973 | + | 0.291630i | ||||
\(246\) | −12.6452 | + | 15.0820i | −0.806228 | + | 0.961595i | ||||
\(247\) | −4.88819 | −0.311028 | ||||||||
\(248\) | 3.61112 | − | 4.23790i | 0.229307 | − | 0.269107i | ||||
\(249\) | −1.55737 | + | 22.3983i | −0.0986941 | + | 1.41943i | ||||
\(250\) | −0.416346 | + | 11.1726i | −0.0263320 | + | 0.706616i | ||||
\(251\) | −7.29576 | + | 5.30068i | −0.460504 | + | 0.334576i | −0.793729 | − | 0.608271i | \(-0.791863\pi\) |
0.333225 | + | 0.942847i | \(0.391863\pi\) | |||||||
\(252\) | 1.06852 | − | 0.189277i | 0.0673103 | − | 0.0119234i | ||||
\(253\) | 11.0775i | 0.696436i | ||||||||
\(254\) | 9.12937 | 0.572828 | ||||||||
\(255\) | 13.9160 | + | 1.14137i | 0.871456 | + | 0.0714751i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | 2.57090 | − | 7.91241i | 0.160368 | − | 0.493562i | −0.838297 | − | 0.545214i | \(-0.816448\pi\) |
0.998665 | + | 0.0516514i | \(0.0164485\pi\) | |||||||
\(258\) | 9.12206 | + | 7.64819i | 0.567915 | + | 0.476156i | ||||
\(259\) | −2.48007 | + | 0.805825i | −0.154104 | + | 0.0500715i | ||||
\(260\) | −0.821832 | − | 1.16120i | −0.0509679 | − | 0.0720148i | ||||
\(261\) | 6.85772 | − | 3.65325i | 0.424482 | − | 0.226131i | ||||
\(262\) | 20.5246 | + | 6.66883i | 1.26801 | + | 0.412002i | ||||
\(263\) | 2.49512 | + | 3.43424i | 0.153856 | + | 0.211764i | 0.878986 | − | 0.476847i | \(-0.158221\pi\) |
−0.725130 | + | 0.688612i | \(0.758221\pi\) | |||||||
\(264\) | 4.55405 | − | 2.84818i | 0.280282 | − | 0.175294i | ||||
\(265\) | 2.17118 | + | 1.61902i | 0.133374 | + | 0.0994555i | ||||
\(266\) | 1.63357 | + | 2.24842i | 0.100161 | + | 0.137859i | ||||
\(267\) | 20.8955 | + | 17.5194i | 1.27878 | + | 1.07217i | ||||
\(268\) | −14.3869 | + | 4.67458i | −0.878818 | + | 0.285545i | ||||
\(269\) | −11.3258 | − | 8.22869i | −0.690548 | − | 0.501712i | 0.186292 | − | 0.982494i | \(-0.440353\pi\) |
−0.876840 | + | 0.480782i | \(0.840353\pi\) | |||||||
\(270\) | −8.72135 | + | 7.67711i | −0.530764 | + | 0.467214i | ||||
\(271\) | −8.40376 | − | 2.73055i | −0.510492 | − | 0.165869i | 0.0424338 | − | 0.999099i | \(-0.486489\pi\) |
−0.552926 | + | 0.833230i | \(0.686489\pi\) | |||||||
\(272\) | 3.42872 | − | 1.11406i | 0.207897 | − | 0.0675497i | ||||
\(273\) | 0.0276477 | − | 0.397633i | 0.00167331 | − | 0.0240658i | ||||
\(274\) | − | 0.905009i | − | 0.0546736i | ||||||
\(275\) | −5.15623 | + | 14.6234i | −0.310932 | + | 0.881822i | ||||
\(276\) | −3.28067 | − | 5.24556i | −0.197473 | − | 0.315746i | ||||
\(277\) | −6.37976 | − | 4.63517i | −0.383323 | − | 0.278500i | 0.379391 | − | 0.925236i | \(-0.376133\pi\) |
−0.762714 | + | 0.646736i | \(0.776133\pi\) | |||||||
\(278\) | − | 4.13743i | − | 0.248146i | ||||||
\(279\) | −12.4886 | + | 11.0921i | −0.747673 | + | 0.664067i | ||||
\(280\) | −0.259472 | + | 0.766076i | −0.0155064 | + | 0.0457818i | ||||
\(281\) | 9.45812 | − | 13.0180i | 0.564224 | − | 0.776588i | −0.427632 | − | 0.903953i | \(-0.640652\pi\) |
0.991856 | + | 0.127365i | \(0.0406520\pi\) | |||||||
\(282\) | 12.8155 | − | 8.01506i | 0.763154 | − | 0.477290i | ||||
\(283\) | −24.8950 | + | 8.08886i | −1.47985 | + | 0.480833i | −0.934069 | − | 0.357093i | \(-0.883768\pi\) |
−0.545783 | + | 0.837926i | \(0.683768\pi\) | |||||||
\(284\) | 7.45021i | 0.442089i | ||||||||
\(285\) | −27.4546 | − | 11.4782i | −1.62627 | − | 0.679909i | ||||
\(286\) | −0.609684 | − | 1.87642i | −0.0360514 | − | 0.110955i | ||||
\(287\) | 1.27015 | − | 3.90911i | 0.0749743 | − | 0.230747i | ||||
\(288\) | −1.31299 | + | 2.69742i | −0.0773685 | + | 0.158947i | ||||
\(289\) | −3.23829 | − | 2.35276i | −0.190488 | − | 0.138397i | ||||
\(290\) | −0.0719048 | + | 5.79105i | −0.00422239 | + | 0.340062i | ||||
\(291\) | −0.246393 | + | 0.293875i | −0.0144438 | + | 0.0172272i | ||||
\(292\) | 4.75764 | − | 3.45663i | 0.278420 | − | 0.202284i | ||||
\(293\) | 4.55629 | − | 14.0228i | 0.266181 | − | 0.819222i | −0.725238 | − | 0.688499i | \(-0.758270\pi\) |
0.991419 | − | 0.130723i | \(-0.0417299\pi\) | |||||||
\(294\) | 10.0874 | − | 6.30882i | 0.588307 | − | 0.367938i | ||||
\(295\) | 2.61281 | + | 8.39463i | 0.152123 | + | 0.488754i | ||||
\(296\) | 2.22777 | − | 6.85638i | 0.129487 | − | 0.398519i | ||||
\(297\) | −14.7132 | + | 6.57159i | −0.853745 | + | 0.381322i | ||||
\(298\) | 12.3974 | − | 17.0635i | 0.718160 | − | 0.988462i | ||||
\(299\) | −2.16134 | + | 0.702262i | −0.124994 | + | 0.0406129i | ||||
\(300\) | −1.88915 | − | 8.45169i | −0.109070 | − | 0.487959i | ||||
\(301\) | −2.36434 | − | 0.768222i | −0.136278 | − | 0.0442796i | ||||
\(302\) | −2.90825 | − | 0.944947i | −0.167351 | − | 0.0543756i | ||||
\(303\) | 5.80831 | − | 1.45061i | 0.333679 | − | 0.0833352i | ||||
\(304\) | −7.68333 | −0.440669 | ||||||||
\(305\) | −7.78899 | + | 22.9965i | −0.445996 | + | 1.31678i | ||||
\(306\) | −10.6497 | + | 1.88649i | −0.608804 | + | 0.107844i | ||||
\(307\) | −12.6533 | − | 17.4157i | −0.722161 | − | 0.993969i | −0.999449 | − | 0.0331821i | \(-0.989436\pi\) |
0.277289 | − | 0.960787i | \(-0.410564\pi\) | |||||||
\(308\) | −0.659344 | + | 0.907509i | −0.0375696 | + | 0.0517101i | ||||
\(309\) | −1.17985 | + | 16.9688i | −0.0671196 | + | 0.965324i | ||||
\(310\) | −2.76974 | − | 12.1379i | −0.157311 | − | 0.689386i | ||||
\(311\) | 14.5275i | 0.823781i | 0.911233 | + | 0.411891i | \(0.135131\pi\) | ||||
−0.911233 | + | 0.411891i | \(0.864869\pi\) | |||||||
\(312\) | 0.844418 | + | 0.707983i | 0.0478057 | + | 0.0400817i | ||||
\(313\) | 5.94163 | − | 4.31685i | 0.335841 | − | 0.244003i | −0.407064 | − | 0.913400i | \(-0.633447\pi\) |
0.742905 | + | 0.669397i | \(0.233447\pi\) | |||||||
\(314\) | −3.93348 | + | 1.27806i | −0.221979 | + | 0.0721254i | ||||
\(315\) | 1.08898 | − | 2.16839i | 0.0613572 | − | 0.122175i | ||||
\(316\) | 5.69797i | 0.320536i | ||||||||
\(317\) | 4.60497 | + | 14.1726i | 0.258641 | + | 0.796015i | 0.993090 | + | 0.117352i | \(0.0374405\pi\) |
−0.734449 | + | 0.678663i | \(0.762560\pi\) | |||||||
\(318\) | −1.94544 | − | 0.785116i | −0.109095 | − | 0.0440271i | ||||
\(319\) | −2.48206 | + | 7.63898i | −0.138968 | + | 0.427701i | ||||
\(320\) | −1.29177 | − | 1.82520i | −0.0722119 | − | 0.102032i | ||||
\(321\) | 2.40983 | + | 9.64908i | 0.134503 | + | 0.538559i | ||||
\(322\) | 1.04531 | + | 0.759462i | 0.0582528 | + | 0.0423232i | ||||
\(323\) | −16.2815 | − | 22.4095i | −0.905926 | − | 1.24690i | ||||
\(324\) | 5.02096 | − | 7.46927i | 0.278942 | − | 0.414959i | ||||
\(325\) | −3.18006 | − | 0.0789828i | −0.176398 | − | 0.00438118i | ||||
\(326\) | 4.59165 | + | 6.31986i | 0.254308 | + | 0.350025i | ||||
\(327\) | 0.437581 | − | 1.08428i | 0.0241983 | − | 0.0599609i | ||||
\(328\) | 6.67913 | + | 9.19304i | 0.368794 | + | 0.507601i | ||||
\(329\) | −1.85546 | + | 2.55382i | −0.102295 | + | 0.140797i | ||||
\(330\) | 0.981799 | − | 11.9705i | 0.0540463 | − | 0.658956i | ||||
\(331\) | 2.22699 | − | 3.06518i | 0.122406 | − | 0.168478i | −0.743416 | − | 0.668829i | \(-0.766796\pi\) |
0.865822 | + | 0.500351i | \(0.166796\pi\) | |||||||
\(332\) | 12.3284 | + | 4.00575i | 0.676610 | + | 0.219844i | ||||
\(333\) | −9.46562 | + | 19.4463i | −0.518713 | + | 1.06565i | ||||
\(334\) | −4.18833 | + | 1.36087i | −0.229175 | + | 0.0744635i | ||||
\(335\) | −10.8513 | + | 32.0377i | −0.592868 | + | 1.75041i | ||||
\(336\) | 0.0434569 | − | 0.625004i | 0.00237077 | − | 0.0340968i | ||||
\(337\) | 2.83289 | + | 8.71874i | 0.154317 | + | 0.474940i | 0.998091 | − | 0.0617591i | \(-0.0196710\pi\) |
−0.843774 | + | 0.536699i | \(0.819671\pi\) | |||||||
\(338\) | −10.1898 | + | 7.40330i | −0.554250 | + | 0.402686i | ||||
\(339\) | 12.2095 | + | 10.2368i | 0.663127 | + | 0.555984i | ||||
\(340\) | 2.58611 | − | 7.63533i | 0.140251 | − | 0.414084i | ||||
\(341\) | 1.33501 | − | 17.2148i | 0.0722946 | − | 0.932235i | ||||
\(342\) | 22.8282 | + | 3.18994i | 1.23441 | + | 0.172492i | ||||
\(343\) | −2.94875 | + | 4.05861i | −0.159218 | + | 0.219144i | ||||
\(344\) | 5.56022 | − | 4.03974i | 0.299787 | − | 0.217808i | ||||
\(345\) | −13.7882 | − | 1.13088i | −0.742332 | − | 0.0608846i | ||||
\(346\) | 15.2442 | 0.819531 | ||||||||
\(347\) | − | 13.8084i | − | 0.741276i | −0.928777 | − | 0.370638i | \(-0.879139\pi\) | ||
0.928777 | − | 0.370638i | \(-0.120861\pi\) | |||||||
\(348\) | −1.08699 | − | 4.35239i | −0.0582690 | − | 0.233312i | ||||
\(349\) | 6.54481 | − | 20.1429i | 0.350336 | − | 1.07822i | −0.608329 | − | 0.793685i | \(-0.708160\pi\) |
0.958665 | − | 0.284538i | \(-0.0918401\pi\) | |||||||
\(350\) | 1.02640 | + | 1.48912i | 0.0548636 | + | 0.0795969i | ||||
\(351\) | −2.21494 | − | 2.45410i | −0.118225 | − | 0.130990i | ||||
\(352\) | −0.958310 | − | 2.94937i | −0.0510781 | − | 0.157202i | ||||
\(353\) | −6.12174 | + | 8.42585i | −0.325827 | + | 0.448463i | −0.940235 | − | 0.340526i | \(-0.889395\pi\) |
0.614408 | + | 0.788989i | \(0.289395\pi\) | |||||||
\(354\) | −3.61110 | − | 5.77390i | −0.191928 | − | 0.306879i | ||||
\(355\) | 13.3549 | + | 9.95860i | 0.708807 | + | 0.528547i | ||||
\(356\) | 12.7366 | − | 9.25366i | 0.675037 | − | 0.490443i | ||||
\(357\) | 1.91500 | − | 1.19768i | 0.101353 | − | 0.0633878i | ||||
\(358\) | −6.36246 | + | 19.5817i | −0.336267 | + | 1.03492i | ||||
\(359\) | 9.60275 | + | 13.2171i | 0.506814 | + | 0.697570i | 0.983378 | − | 0.181570i | \(-0.0581179\pi\) |
−0.476564 | + | 0.879140i | \(0.658118\pi\) | |||||||
\(360\) | 3.08023 | + | 5.95921i | 0.162342 | + | 0.314078i | ||||
\(361\) | 12.3710 | + | 38.0741i | 0.651107 | + | 2.00390i | ||||
\(362\) | −6.49020 | + | 8.93300i | −0.341118 | + | 0.469508i | ||||
\(363\) | −0.896358 | + | 2.22108i | −0.0470466 | + | 0.116577i | ||||
\(364\) | −0.218864 | − | 0.0711133i | −0.0114716 | − | 0.00372735i | ||||
\(365\) | 0.163262 | − | 13.1488i | 0.00854555 | − | 0.688239i | ||||
\(366\) | 1.30452 | − | 18.7618i | 0.0681882 | − | 0.980693i | ||||
\(367\) | −21.8615 | −1.14116 | −0.570580 | − | 0.821242i | \(-0.693282\pi\) | ||||
−0.570580 | + | 0.821242i | \(0.693282\pi\) | |||||||
\(368\) | −3.39722 | + | 1.10382i | −0.177092 | + | 0.0575408i | ||||
\(369\) | −16.0279 | − | 30.0868i | −0.834377 | − | 1.56625i | ||||
\(370\) | −9.31264 | − | 13.1582i | −0.484141 | − | 0.684065i | ||||
\(371\) | 0.438118 | 0.0227460 | ||||||||
\(372\) | 4.46610 | + | 8.54716i | 0.231557 | + | 0.443150i | ||||
\(373\) | 32.0823i | 1.66116i | 0.556901 | + | 0.830579i | \(0.311990\pi\) | ||||
−0.556901 | + | 0.830579i | \(0.688010\pi\) | |||||||
\(374\) | 6.57155 | − | 9.04497i | 0.339807 | − | 0.467704i | ||||
\(375\) | −17.6754 | − | 7.91085i | −0.912752 | − | 0.408514i | ||||
\(376\) | −2.69678 | − | 8.29983i | −0.139076 | − | 0.428031i | ||||
\(377\) | −1.64780 | −0.0848660 | ||||||||
\(378\) | −0.388603 | + | 1.83893i | −0.0199876 | + | 0.0945842i | ||||
\(379\) | 2.37894 | + | 7.32161i | 0.122198 | + | 0.376086i | 0.993380 | − | 0.114874i | \(-0.0366463\pi\) |
−0.871182 | + | 0.490959i | \(0.836646\pi\) | |||||||
\(380\) | −10.2702 | + | 13.7728i | −0.526850 | + | 0.706531i | ||||
\(381\) | −5.91770 | + | 14.6635i | −0.303173 | + | 0.751232i | ||||
\(382\) | 10.2495 | − | 14.1073i | 0.524412 | − | 0.721791i | ||||
\(383\) | 6.55617 | − | 2.13023i | 0.335005 | − | 0.108850i | −0.136684 | − | 0.990615i | \(-0.543645\pi\) |
0.471689 | + | 0.881765i | \(0.343645\pi\) | |||||||
\(384\) | 1.32727 | + | 1.11282i | 0.0677318 | + | 0.0567882i | ||||
\(385\) | 0.745427 | + | 2.39497i | 0.0379905 | + | 0.122059i | ||||
\(386\) | 18.0688 | + | 5.87089i | 0.919675 | + | 0.298821i | ||||
\(387\) | −18.1974 | + | 9.69413i | −0.925024 | + | 0.492780i | ||||
\(388\) | 0.130144 | + | 0.179127i | 0.00660704 | + | 0.00909381i | ||||
\(389\) | 7.79733 | − | 23.9977i | 0.395341 | − | 1.21673i | −0.533355 | − | 0.845891i | \(-0.679069\pi\) |
0.928696 | − | 0.370842i | \(-0.120931\pi\) | |||||||
\(390\) | 2.39782 | − | 0.567317i | 0.121419 | − | 0.0287272i | ||||
\(391\) | −10.4184 | − | 7.56941i | −0.526881 | − | 0.382802i | ||||
\(392\) | −2.12269 | − | 6.53296i | −0.107212 | − | 0.329964i | ||||
\(393\) | −24.0155 | + | 28.6435i | −1.21142 | + | 1.44487i | ||||
\(394\) | 14.8730 | + | 4.83252i | 0.749290 | + | 0.243459i | ||||
\(395\) | 10.2140 | + | 7.61640i | 0.513920 | + | 0.383223i | ||||
\(396\) | 1.62275 | + | 9.16085i | 0.0815465 | + | 0.460350i | ||||
\(397\) | − | 5.57161i | − | 0.279631i | −0.990178 | − | 0.139815i | \(-0.955349\pi\) | ||
0.990178 | − | 0.139815i | \(-0.0446509\pi\) | |||||||
\(398\) | − | 12.7604i | − | 0.639622i | ||||||
\(399\) | −4.67026 | + | 1.16638i | −0.233805 | + | 0.0583921i | ||||
\(400\) | −4.99846 | − | 0.124146i | −0.249923 | − | 0.00620731i | ||||
\(401\) | −19.3888 | − | 14.0868i | −0.968228 | − | 0.703459i | −0.0131809 | − | 0.999913i | \(-0.504196\pi\) |
−0.955047 | + | 0.296454i | \(0.904196\pi\) | |||||||
\(402\) | 1.81740 | − | 26.1380i | 0.0906434 | − | 1.30365i | ||||
\(403\) | 3.44343 | − | 0.830866i | 0.171530 | − | 0.0413884i | ||||
\(404\) | − | 3.45643i | − | 0.171964i | ||||||
\(405\) | −6.67765 | − | 18.9844i | −0.331815 | − | 0.943344i | ||||
\(406\) | 0.550673 | + | 0.757936i | 0.0273294 | + | 0.0376157i | ||||
\(407\) | −6.90867 | − | 21.2627i | −0.342450 | − | 1.05395i | ||||
\(408\) | −0.433127 | + | 6.22930i | −0.0214430 | + | 0.308396i | ||||
\(409\) | − | 21.9207i | − | 1.08391i | −0.840408 | − | 0.541955i | \(-0.817684\pi\) | ||
0.840408 | − | 0.541955i | \(-0.182316\pi\) | |||||||
\(410\) | 25.4070 | + | 0.315467i | 1.25476 | + | 0.0155798i | ||||
\(411\) | 1.45361 | + | 0.586631i | 0.0717014 | + | 0.0289364i | ||||
\(412\) | 9.33996 | + | 3.03474i | 0.460147 | + | 0.149511i | ||||
\(413\) | 1.15059 | + | 0.835955i | 0.0566170 | + | 0.0411347i | ||||
\(414\) | 10.5519 | − | 1.86916i | 0.518597 | − | 0.0918643i | ||||
\(415\) | 23.6598 | − | 16.7450i | 1.16141 | − | 0.821980i | ||||
\(416\) | 0.514703 | − | 0.373954i | 0.0252354 | − | 0.0183346i | ||||
\(417\) | 6.64547 | + | 2.68190i | 0.325430 | + | 0.131333i | ||||
\(418\) | −19.2766 | + | 14.0053i | −0.942850 | + | 0.685020i | ||||
\(419\) | −12.3572 | − | 17.0082i | −0.603687 | − | 0.830904i | 0.392353 | − | 0.919815i | \(-0.371661\pi\) |
−0.996040 | + | 0.0889110i | \(0.971661\pi\) | |||||||
\(420\) | −1.06227 | − | 0.913334i | −0.0518334 | − | 0.0445661i | ||||
\(421\) | −0.0928946 | + | 0.0674919i | −0.00452741 | + | 0.00328935i | −0.590047 | − | 0.807369i | \(-0.700891\pi\) |
0.585519 | + | 0.810659i | \(0.300891\pi\) | |||||||
\(422\) | −14.6969 | − | 10.6779i | −0.715434 | − | 0.519793i | ||||
\(423\) | 4.56659 | + | 25.7795i | 0.222035 | + | 1.25344i | ||||
\(424\) | −0.711936 | + | 0.979895i | −0.0345747 | + | 0.0475879i | ||||
\(425\) | −10.2300 | − | 14.8418i | −0.496227 | − | 0.719933i | ||||
\(426\) | −11.9664 | − | 4.82926i | −0.579775 | − | 0.233978i | ||||
\(427\) | 1.21370 | + | 3.73539i | 0.0587352 | + | 0.180768i | ||||
\(428\) | 5.74201 | 0.277550 | ||||||||
\(429\) | 3.40907 | + | 0.237035i | 0.164592 | + | 0.0114442i | ||||
\(430\) | 0.190804 | − | 15.3669i | 0.00920137 | − | 0.741058i | ||||
\(431\) | 0.731701 | + | 1.00710i | 0.0352448 | + | 0.0485103i | 0.826276 | − | 0.563266i | \(-0.190455\pi\) |
−0.791031 | + | 0.611776i | \(0.790455\pi\) | |||||||
\(432\) | −3.48147 | − | 3.85738i | −0.167502 | − | 0.185588i | ||||
\(433\) | 5.00247 | 0.240403 | 0.120202 | − | 0.992749i | \(-0.461646\pi\) | ||||
0.120202 | + | 0.992749i | \(0.461646\pi\) | |||||||
\(434\) | −1.53292 | − | 1.30621i | −0.0735826 | − | 0.0626999i | ||||
\(435\) | −9.25488 | − | 3.86927i | −0.443738 | − | 0.185518i | ||||
\(436\) | −0.546140 | − | 0.396794i | −0.0261554 | − | 0.0190030i | ||||
\(437\) | 16.1319 | + | 22.2037i | 0.771694 | + | 1.06215i | ||||
\(438\) | 2.46806 | + | 9.88226i | 0.117929 | + | 0.472193i | ||||
\(439\) | 6.48390 | 0.309460 | 0.154730 | − | 0.987957i | \(-0.450549\pi\) | ||||
0.154730 | + | 0.987957i | \(0.450549\pi\) | |||||||
\(440\) | −6.56789 | − | 2.22456i | −0.313112 | − | 0.106052i | ||||
\(441\) | 3.59445 | + | 20.2916i | 0.171164 | + | 0.966266i | ||||
\(442\) | 2.18138 | + | 0.708773i | 0.103758 | + | 0.0337129i | ||||
\(443\) | 8.09711 | − | 24.9203i | 0.384705 | − | 1.18400i | −0.551988 | − | 0.833852i | \(-0.686131\pi\) |
0.936694 | − | 0.350150i | \(-0.113869\pi\) | |||||||
\(444\) | 9.56857 | + | 8.02255i | 0.454104 | + | 0.380734i | ||||
\(445\) | 0.437066 | − | 35.2003i | 0.0207189 | − | 1.66865i | ||||
\(446\) | 17.1312 | + | 12.4466i | 0.811187 | + | 0.589362i | ||||
\(447\) | 19.3711 | + | 30.9731i | 0.916223 | + | 1.46498i | ||||
\(448\) | −0.344014 | − | 0.111777i | −0.0162531 | − | 0.00528096i | ||||
\(449\) | 4.95015 | − | 3.59650i | 0.233612 | − | 0.169729i | −0.464821 | − | 0.885405i | \(-0.653881\pi\) |
0.698433 | + | 0.715676i | \(0.253881\pi\) | |||||||
\(450\) | 14.7995 | + | 2.44410i | 0.697657 | + | 0.115216i | ||||
\(451\) | 33.5144 | + | 10.8895i | 1.57813 | + | 0.512766i | ||||
\(452\) | 7.44211 | − | 5.40701i | 0.350047 | − | 0.254324i | ||||
\(453\) | 3.40290 | − | 4.05866i | 0.159882 | − | 0.190693i | ||||
\(454\) | 0.828040 | + | 2.54844i | 0.0388618 | + | 0.119604i | ||||
\(455\) | −0.420028 | + | 0.297271i | −0.0196912 | + | 0.0139363i | ||||
\(456\) | 4.98037 | − | 12.3408i | 0.233227 | − | 0.577913i | ||||
\(457\) | −8.07408 | + | 24.8495i | −0.377690 | + | 1.16241i | 0.563956 | + | 0.825805i | \(0.309279\pi\) |
−0.941646 | + | 0.336605i | \(0.890721\pi\) | |||||||
\(458\) | 20.9997 | − | 6.82323i | 0.981253 | − | 0.318829i | ||||
\(459\) | 3.87314 | − | 18.3282i | 0.180783 | − | 0.855489i | ||||
\(460\) | −2.56235 | + | 7.56519i | −0.119470 | + | 0.352729i | ||||
\(461\) | −4.08805 | − | 12.5817i | −0.190399 | − | 0.585989i | 0.809600 | − | 0.586982i | \(-0.199684\pi\) |
−1.00000 | 0.000992651i | \(0.999684\pi\) | ||||||||
\(462\) | −1.03024 | − | 1.64728i | −0.0479310 | − | 0.0766384i | ||||
\(463\) | −23.8294 | − | 17.3131i | −1.10745 | − | 0.804608i | −0.125188 | − | 0.992133i | \(-0.539953\pi\) |
−0.982260 | + | 0.187525i | \(0.939953\pi\) | |||||||
\(464\) | −2.59003 | −0.120239 | ||||||||
\(465\) | 21.2911 | + | 3.41912i | 0.987350 | + | 0.158558i | ||||
\(466\) | −4.10466 | −0.190144 | ||||||||
\(467\) | −6.34691 | − | 4.61130i | −0.293700 | − | 0.213386i | 0.431171 | − | 0.902270i | \(-0.358101\pi\) |
−0.724871 | + | 0.688885i | \(0.758101\pi\) | |||||||
\(468\) | −1.68451 | + | 0.897373i | −0.0778664 | + | 0.0414811i | ||||
\(469\) | 1.69088 | + | 5.20398i | 0.0780774 | + | 0.240297i | ||||
\(470\) | −18.4827 | − | 6.26013i | −0.852542 | − | 0.288758i | ||||
\(471\) | 0.496890 | − | 7.14634i | 0.0228955 | − | 0.329286i | ||||
\(472\) | −3.73939 | + | 1.21500i | −0.172120 | + | 0.0559250i | ||||
\(473\) | 6.58629 | − | 20.2705i | 0.302838 | − | 0.932039i | ||||
\(474\) | −9.15200 | − | 3.69345i | −0.420365 | − | 0.169646i | ||||
\(475\) | 10.9606 | + | 36.8199i | 0.502905 | + | 1.68941i | ||||
\(476\) | −0.402975 | − | 1.24023i | −0.0184703 | − | 0.0568458i | ||||
\(477\) | 2.52208 | − | 2.61582i | 0.115478 | − | 0.119770i | ||||
\(478\) | −20.4166 | + | 14.8335i | −0.933834 | + | 0.678470i | ||||
\(479\) | −30.8161 | − | 10.0127i | −1.40802 | − | 0.457494i | −0.496246 | − | 0.868182i | \(-0.665288\pi\) |
−0.911776 | + | 0.410688i | \(0.865288\pi\) | |||||||
\(480\) | 3.76893 | − | 0.891716i | 0.172027 | − | 0.0407011i | ||||
\(481\) | 3.71061 | − | 2.69592i | 0.169189 | − | 0.122923i | ||||
\(482\) | 5.02958 | + | 1.63421i | 0.229091 | + | 0.0744362i | ||||
\(483\) | −1.89741 | + | 1.18667i | −0.0863352 | + | 0.0539955i | ||||
\(484\) | 1.11873 | + | 0.812808i | 0.0508516 | + | 0.0369458i | ||||
\(485\) | 0.495058 | + | 0.00614690i | 0.0224794 | + | 0.000279116i | ||||
\(486\) | 8.74241 | + | 12.9062i | 0.396564 | + | 0.585438i | ||||
\(487\) | −7.57747 | + | 23.3210i | −0.343368 | + | 1.05678i | 0.619084 | + | 0.785325i | \(0.287504\pi\) |
−0.962452 | + | 0.271453i | \(0.912496\pi\) | |||||||
\(488\) | −10.3268 | − | 3.35539i | −0.467473 | − | 0.151891i | ||||
\(489\) | −13.1272 | + | 3.27847i | −0.593632 | + | 0.148258i | ||||
\(490\) | −14.5481 | − | 4.92748i | −0.657216 | − | 0.222601i | ||||
\(491\) | −14.4912 | −0.653981 | −0.326990 | − | 0.945028i | \(-0.606034\pi\) | ||||
−0.326990 | + | 0.945028i | \(0.606034\pi\) | |||||||
\(492\) | −19.0952 | + | 4.76896i | −0.860877 | + | 0.215001i | ||||
\(493\) | −5.48845 | − | 7.55421i | −0.247188 | − | 0.340224i | ||||
\(494\) | −3.95463 | − | 2.87321i | −0.177927 | − | 0.129272i | ||||
\(495\) | 18.5905 | + | 9.33630i | 0.835580 | + | 0.419636i | ||||
\(496\) | 5.41243 | − | 1.30597i | 0.243026 | − | 0.0586396i | ||||
\(497\) | 2.69487 | 0.120882 | ||||||||
\(498\) | −14.4253 | + | 17.2052i | −0.646413 | + | 0.770983i | ||||
\(499\) | 1.35325 | + | 1.86259i | 0.0605797 | + | 0.0833808i | 0.838232 | − | 0.545314i | \(-0.183590\pi\) |
−0.777652 | + | 0.628695i | \(0.783590\pi\) | |||||||
\(500\) | −6.90391 | + | 8.79409i | −0.308752 | + | 0.393284i | ||||
\(501\) | 0.529083 | − | 7.60935i | 0.0236377 | − | 0.339961i | ||||
\(502\) | −9.01806 | −0.402496 | ||||||||
\(503\) | −4.94721 | − | 15.2259i | −0.220585 | − | 0.678891i | −0.998710 | − | 0.0507812i | \(-0.983829\pi\) |
0.778125 | − | 0.628110i | \(-0.216171\pi\) | |||||||
\(504\) | 0.975703 | + | 0.474930i | 0.0434613 | + | 0.0211551i | ||||
\(505\) | −6.19586 | − | 4.62017i | −0.275712 | − | 0.205595i | ||||
\(506\) | −6.51119 | + | 8.96188i | −0.289457 | + | 0.398404i | ||||
\(507\) | −5.28601 | − | 21.1655i | −0.234760 | − | 0.939993i | ||||
\(508\) | 7.38582 | + | 5.36611i | 0.327693 | + | 0.238083i | ||||
\(509\) | −8.77049 | + | 6.37214i | −0.388745 | + | 0.282440i | −0.764941 | − | 0.644100i | \(-0.777232\pi\) |
0.376196 | + | 0.926540i | \(0.377232\pi\) | |||||||
\(510\) | 10.5874 | + | 9.10302i | 0.468819 | + | 0.403089i | ||||
\(511\) | −1.25032 | − | 1.72092i | −0.0553111 | − | 0.0761291i | ||||
\(512\) | 0.809017 | − | 0.587785i | 0.0357538 | − | 0.0259767i | ||||
\(513\) | −19.9210 | + | 34.5986i | −0.879532 | + | 1.52756i | ||||
\(514\) | 6.73070 | − | 4.89014i | 0.296878 | − | 0.215695i | ||||
\(515\) | 17.9245 | − | 12.6859i | 0.789850 | − | 0.559010i | ||||
\(516\) | 2.88441 | + | 11.5493i | 0.126979 | + | 0.508431i | ||||
\(517\) | −21.8949 | − | 15.9076i | −0.962939 | − | 0.699616i | ||||
\(518\) | −2.48007 | − | 0.805825i | −0.108968 | − | 0.0354059i | ||||
\(519\) | −9.88133 | + | 24.4849i | −0.433742 | + | 1.07477i | ||||
\(520\) | 0.0176625 | − | 1.42249i | 0.000774550 | − | 0.0623805i | ||||
\(521\) | 16.9359i | 0.741974i | 0.928638 | + | 0.370987i | \(0.120981\pi\) | ||||
−0.928638 | + | 0.370987i | \(0.879019\pi\) | |||||||
\(522\) | 7.69534 | + | 1.07532i | 0.336816 | + | 0.0470656i | ||||
\(523\) | −0.667440 | − | 2.05417i | −0.0291851 | − | 0.0898225i | 0.935403 | − | 0.353584i | \(-0.115037\pi\) |
−0.964588 | + | 0.263761i | \(0.915037\pi\) | |||||||
\(524\) | 12.6849 | + | 17.4592i | 0.554141 | + | 0.762710i | ||||
\(525\) | −3.05713 | + | 0.683339i | −0.133424 | + | 0.0298234i | ||||
\(526\) | 4.24495i | 0.185089i | ||||||||
\(527\) | 15.2783 | + | 13.0187i | 0.665535 | + | 0.567104i | ||||
\(528\) | 5.35842 | + | 0.372575i | 0.233195 | + | 0.0162142i | ||||
\(529\) | −8.28469 | − | 6.01918i | −0.360204 | − | 0.261704i | ||||
\(530\) | 0.804886 | + | 2.58600i | 0.0349620 | + | 0.112329i | ||||
\(531\) | 11.6147 | − | 2.05742i | 0.504034 | − | 0.0892846i | ||||
\(532\) | 2.77919i | 0.120493i | ||||||||
\(533\) | 7.22937i | 0.313139i | ||||||||
\(534\) | 6.60719 | + | 26.4556i | 0.285921 | + | 1.14484i | ||||
\(535\) | 7.67526 | − | 10.2929i | 0.331831 | − | 0.445000i | ||||
\(536\) | −14.3869 | − | 4.67458i | −0.621418 | − | 0.201911i | ||||
\(537\) | −27.3276 | − | 22.9122i | −1.17927 | − | 0.988735i | ||||
\(538\) | −4.32608 | − | 13.3143i | −0.186511 | − | 0.574020i | ||||
\(539\) | −17.2340 | − | 12.5212i | −0.742319 | − | 0.539326i | ||||
\(540\) | −11.5682 | + | 1.08463i | −0.497817 | + | 0.0466752i | ||||
\(541\) | 4.16415 | − | 12.8159i | 0.179031 | − | 0.551000i | −0.820764 | − | 0.571268i | \(-0.806452\pi\) |
0.999795 | + | 0.0202678i | \(0.00645187\pi\) | |||||||
\(542\) | −5.19381 | − | 7.14867i | −0.223093 | − | 0.307062i | ||||
\(543\) | −10.1411 | − | 16.2149i | −0.435195 | − | 0.695847i | ||||
\(544\) | 3.42872 | + | 1.11406i | 0.147005 | + | 0.0477649i | ||||
\(545\) | −1.44130 | + | 0.448600i | −0.0617383 | + | 0.0192159i | ||||
\(546\) | 0.256090 | − | 0.305441i | 0.0109596 | − | 0.0130717i | ||||
\(547\) | −26.9319 | + | 8.75072i | −1.15153 | + | 0.374154i | −0.821718 | − | 0.569894i | \(-0.806984\pi\) |
−0.329809 | + | 0.944048i | \(0.606984\pi\) | |||||||
\(548\) | 0.531951 | − | 0.732168i | 0.0227238 | − | 0.0312767i | ||||
\(549\) | 29.2893 | + | 14.2568i | 1.25004 | + | 0.608463i | ||||
\(550\) | −12.7669 | + | 8.79979i | −0.544381 | + | 0.375224i | ||||
\(551\) | 6.14946 | + | 18.9261i | 0.261976 | + | 0.806279i | ||||
\(552\) | 0.429148 | − | 6.17207i | 0.0182658 | − | 0.262701i | ||||
\(553\) | 2.06106 | 0.0876450 | ||||||||
\(554\) | −2.43685 | − | 7.49986i | −0.103532 | − | 0.318638i | ||||
\(555\) | 27.1711 | − | 6.42858i | 1.15335 | − | 0.272878i | ||||
\(556\) | 2.43192 | − | 3.34725i | 0.103136 | − | 0.141955i | ||||
\(557\) | 37.4093i | 1.58509i | 0.609817 | + | 0.792543i | \(0.291243\pi\) | ||||
−0.609817 | + | 0.792543i | \(0.708757\pi\) | |||||||
\(558\) | −16.6233 | + | 1.63308i | −0.703719 | + | 0.0691339i | ||||
\(559\) | 4.37254 | 0.184939 | ||||||||
\(560\) | −0.660205 | + | 0.467255i | −0.0278988 | + | 0.0197451i | ||||
\(561\) | 10.2682 | + | 16.4181i | 0.433523 | + | 0.693174i | ||||
\(562\) | 15.3036 | − | 4.97243i | 0.645542 | − | 0.209749i | ||||
\(563\) | −4.10697 | −0.173088 | −0.0865442 | − | 0.996248i | \(-0.527582\pi\) | ||||
−0.0865442 | + | 0.996248i | \(0.527582\pi\) | |||||||
\(564\) | 15.0791 | + | 1.04846i | 0.634946 | + | 0.0441482i | ||||
\(565\) | 0.255382 | − | 20.5679i | 0.0107440 | − | 0.865298i | ||||
\(566\) | −24.8950 | − | 8.08886i | −1.04641 | − | 0.340000i | ||||
\(567\) | −2.70176 | − | 1.81617i | −0.113463 | − | 0.0762720i | ||||
\(568\) | −4.37912 | + | 6.02735i | −0.183744 | + | 0.252902i | ||||
\(569\) | 4.17820 | + | 12.8592i | 0.175159 | + | 0.539085i | 0.999641 | − | 0.0268042i | \(-0.00853305\pi\) |
−0.824481 | + | 0.565889i | \(0.808533\pi\) | |||||||
\(570\) | −15.4645 | − | 25.4234i | −0.647737 | − | 1.06487i | ||||
\(571\) | −28.0452 | − | 38.6009i | −1.17366 | − | 1.61540i | −0.632980 | − | 0.774168i | \(-0.718169\pi\) |
−0.540676 | − | 0.841231i | \(-0.681831\pi\) | |||||||
\(572\) | 0.609684 | − | 1.87642i | 0.0254922 | − | 0.0784569i | ||||
\(573\) | 16.0151 | + | 25.6070i | 0.669040 | + | 1.06975i | ||||
\(574\) | 3.32528 | − | 2.41596i | 0.138795 | − | 0.100840i | ||||
\(575\) | 10.1360 | + | 14.7055i | 0.422700 | + | 0.613260i | ||||
\(576\) | −2.64773 | + | 1.41050i | −0.110322 | + | 0.0587710i | ||||
\(577\) | 14.4128 | − | 19.8375i | 0.600012 | − | 0.825845i | −0.395698 | − | 0.918381i | \(-0.629497\pi\) |
0.995709 | + | 0.0925357i | \(0.0294972\pi\) | |||||||
\(578\) | −1.23692 | − | 3.80684i | −0.0514490 | − | 0.158344i | ||||
\(579\) | −21.1420 | + | 25.2162i | −0.878631 | + | 1.04795i | ||||
\(580\) | −3.46206 | + | 4.64279i | −0.143754 | + | 0.192781i | ||||
\(581\) | 1.44895 | − | 4.45941i | 0.0601125 | − | 0.185007i | ||||
\(582\) | −0.372071 | + | 0.0929236i | −0.0154229 | + | 0.00385181i | ||||
\(583\) | 3.75617i | 0.155565i | ||||||||
\(584\) | 5.88077 | 0.243348 | ||||||||
\(585\) | −0.643064 | + | 4.21909i | −0.0265874 | + | 0.174438i | ||||
\(586\) | 11.9285 | − | 8.66658i | 0.492763 | − | 0.358013i | ||||
\(587\) | −14.3424 | + | 19.7406i | −0.591972 | + | 0.814780i | −0.994944 | − | 0.100433i | \(-0.967977\pi\) |
0.402972 | + | 0.915212i | \(0.367977\pi\) | |||||||
\(588\) | 11.8691 | + | 0.825265i | 0.489473 | + | 0.0340333i | ||||
\(589\) | −22.3937 | − | 36.4494i | −0.922716 | − | 1.50187i | ||||
\(590\) | −2.82043 | + | 8.32716i | −0.116115 | + | 0.342824i | ||||
\(591\) | −17.4027 | + | 20.7563i | −0.715850 | + | 0.853800i | ||||
\(592\) | 5.83239 | − | 4.23748i | 0.239710 | − | 0.174159i | ||||
\(593\) | 9.47367 | + | 29.1569i | 0.389037 | + | 1.19733i | 0.933509 | + | 0.358553i | \(0.116730\pi\) |
−0.544472 | + | 0.838779i | \(0.683270\pi\) | |||||||
\(594\) | −15.7659 | − | 3.33166i | −0.646883 | − | 0.136700i | ||||
\(595\) | −2.76183 | − | 0.935440i | −0.113224 | − | 0.0383493i | ||||
\(596\) | 20.0594 | − | 6.51768i | 0.821663 | − | 0.266975i | ||||
\(597\) | 20.4956 | + | 8.27136i | 0.838829 | + | 0.338524i | ||||
\(598\) | −2.16134 | − | 0.702262i | −0.0883838 | − | 0.0287176i | ||||
\(599\) | −11.2161 | + | 15.4376i | −0.458277 | + | 0.630764i | −0.974150 | − | 0.225901i | \(-0.927467\pi\) |
0.515874 | + | 0.856665i | \(0.327467\pi\) | |||||||
\(600\) | 3.43943 | − | 7.94798i | 0.140414 | − | 0.324475i | ||||
\(601\) | −19.9772 | + | 27.4962i | −0.814885 | + | 1.12159i | 0.175666 | + | 0.984450i | \(0.443792\pi\) |
−0.990551 | + | 0.137144i | \(0.956208\pi\) | |||||||
\(602\) | −1.46124 | − | 2.01123i | −0.0595559 | − | 0.0819716i | ||||
\(603\) | 40.8045 | + | 19.8619i | 1.66169 | + | 0.808838i | ||||
\(604\) | −1.79740 | − | 2.47390i | −0.0731350 | − | 0.100662i | ||||
\(605\) | 2.95240 | − | 0.918928i | 0.120032 | − | 0.0373597i | ||||
\(606\) | 5.55167 | + | 2.24047i | 0.225521 | + | 0.0910131i | ||||
\(607\) | −3.50284 | − | 4.82124i | −0.142176 | − | 0.195688i | 0.731991 | − | 0.681315i | \(-0.238592\pi\) |
−0.874166 | + | 0.485627i | \(0.838592\pi\) | |||||||
\(608\) | −6.21594 | − | 4.51615i | −0.252090 | − | 0.183154i | ||||
\(609\) | −1.57433 | + | 0.393185i | −0.0637953 | + | 0.0159327i | ||||
\(610\) | −19.8184 | + | 14.0263i | −0.802425 | + | 0.567910i | ||||
\(611\) | 1.71571 | − | 5.28042i | 0.0694102 | − | 0.213623i | ||||
\(612\) | −9.72465 | − | 4.73354i | −0.393096 | − | 0.191342i | ||||
\(613\) | 9.61990 | + | 29.6070i | 0.388544 | + | 1.19582i | 0.933876 | + | 0.357596i | \(0.116404\pi\) |
−0.545332 | + | 0.838220i | \(0.683596\pi\) | |||||||
\(614\) | − | 21.5270i | − | 0.868760i | ||||||
\(615\) | −16.9756 | + | 40.6038i | −0.684523 | + | 1.63730i | ||||
\(616\) | −1.06684 | + | 0.346637i | −0.0429842 | + | 0.0139664i | ||||
\(617\) | 10.2165 | − | 7.42269i | 0.411299 | − | 0.298826i | −0.362829 | − | 0.931856i | \(-0.618189\pi\) |
0.774127 | + | 0.633030i | \(0.218189\pi\) | |||||||
\(618\) | −10.9286 | + | 13.0346i | −0.439611 | + | 0.524328i | ||||
\(619\) | − | 26.7399i | − | 1.07477i | −0.843338 | − | 0.537383i | \(-0.819413\pi\) | ||
0.843338 | − | 0.537383i | \(-0.180587\pi\) | |||||||
\(620\) | 4.89371 | − | 11.4478i | 0.196536 | − | 0.459754i | ||||
\(621\) | −3.83756 | + | 18.1599i | −0.153996 | + | 0.728731i | ||||
\(622\) | −8.53908 | + | 11.7530i | −0.342386 | + | 0.471254i | ||||
\(623\) | −3.34721 | − | 4.60704i | −0.134103 | − | 0.184577i | ||||
\(624\) | 0.267006 | + | 1.06911i | 0.0106888 | + | 0.0427985i | ||||
\(625\) | 6.53556 | + | 24.1306i | 0.261422 | + | 0.965224i | ||||
\(626\) | 7.34426 | 0.293536 | ||||||||
\(627\) | −9.99988 | − | 40.0401i | −0.399357 | − | 1.59905i | ||||
\(628\) | −3.93348 | − | 1.27806i | −0.156963 | − | 0.0510003i | ||||
\(629\) | 24.7184 | + | 8.03150i | 0.985588 | + | 0.320237i | ||||
\(630\) | 2.15555 | − | 1.11417i | 0.0858792 | − | 0.0443897i | ||||
\(631\) | 25.4685 | − | 8.27521i | 1.01388 | − | 0.329431i | 0.245484 | − | 0.969401i | \(-0.421053\pi\) |
0.768400 | + | 0.639970i | \(0.221053\pi\) | |||||||
\(632\) | −3.34918 | + | 4.60975i | −0.133223 | + | 0.183366i | ||||
\(633\) | 26.6773 | − | 16.6845i | 1.06033 | − | 0.663148i | ||||
\(634\) | −4.60497 | + | 14.1726i | −0.182887 | + | 0.562868i | ||||
\(635\) | 19.4916 | − | 6.06671i | 0.773500 | − | 0.240750i | ||||
\(636\) | −1.11241 | − | 1.77867i | −0.0441101 | − | 0.0705290i | ||||
\(637\) | 1.35047 | − | 4.15632i | 0.0535076 | − | 0.164679i | ||||
\(638\) | −6.49811 | + | 4.72115i | −0.257262 | + | 0.186912i | ||||
\(639\) | 15.5134 | − | 16.0899i | 0.613700 | − | 0.636508i | ||||
\(640\) | 0.0277621 | − | 2.23590i | 0.00109739 | − | 0.0883815i | ||||
\(641\) | 8.13032 | + | 5.90702i | 0.321128 | + | 0.233313i | 0.736657 | − | 0.676267i | \(-0.236403\pi\) |
−0.415528 | + | 0.909580i | \(0.636403\pi\) | |||||||
\(642\) | −3.72200 | + | 9.22273i | −0.146895 | + | 0.363992i | ||||
\(643\) | 3.37817 | − | 10.3969i | 0.133222 | − | 0.410015i | −0.862087 | − | 0.506760i | \(-0.830843\pi\) |
0.995309 | + | 0.0967449i | \(0.0308431\pi\) | |||||||
\(644\) | 0.399273 | + | 1.22884i | 0.0157335 | + | 0.0484229i | ||||
\(645\) | 24.5584 | + | 10.2674i | 0.966986 | + | 0.404277i | ||||
\(646\) | − | 27.6997i | − | 1.08983i | ||||||
\(647\) | 27.6916 | − | 8.99754i | 1.08867 | − | 0.353730i | 0.290937 | − | 0.956742i | \(-0.406033\pi\) |
0.797732 | + | 0.603012i | \(0.206033\pi\) | |||||||
\(648\) | 8.45237 | − | 3.09151i | 0.332040 | − | 0.121446i | ||||
\(649\) | −7.16700 | + | 9.86452i | −0.281329 | + | 0.387216i | ||||
\(650\) | −2.52630 | − | 1.93309i | −0.0990895 | − | 0.0758220i | ||||
\(651\) | 3.09166 | − | 1.61547i | 0.121172 | − | 0.0633152i | ||||
\(652\) | 7.81178i | 0.305933i | ||||||||
\(653\) | 24.6766 | + | 17.9286i | 0.965668 | + | 0.701599i | 0.954460 | − | 0.298338i | \(-0.0964323\pi\) |
0.0112081 | + | 0.999937i | \(0.496432\pi\) | |||||||
\(654\) | 0.991336 | − | 0.619999i | 0.0387643 | − | 0.0242439i | ||||
\(655\) | 48.2524 | + | 0.599128i | 1.88538 | + | 0.0234099i | ||||
\(656\) | 11.3632i | 0.443659i | ||||||||
\(657\) | −17.4725 | − | 2.44156i | −0.681669 | − | 0.0952543i | ||||
\(658\) | −3.00219 | + | 0.975471i | −0.117038 | + | 0.0380278i | ||||
\(659\) | 7.04300 | + | 2.28841i | 0.274356 | + | 0.0891437i | 0.442964 | − | 0.896540i | \(-0.353927\pi\) |
−0.168608 | + | 0.985683i | \(0.553927\pi\) | |||||||
\(660\) | 7.83039 | − | 9.10728i | 0.304798 | − | 0.354500i | ||||
\(661\) | −28.4474 | − | 20.6682i | −1.10647 | − | 0.803900i | −0.124369 | − | 0.992236i | \(-0.539691\pi\) |
−0.982105 | + | 0.188336i | \(0.939691\pi\) | |||||||
\(662\) | 3.60334 | − | 1.17080i | 0.140048 | − | 0.0455043i | ||||
\(663\) | −2.55240 | + | 3.04427i | −0.0991270 | + | 0.118230i | ||||
\(664\) | 7.61938 | + | 10.4872i | 0.295689 | + | 0.406982i | ||||
\(665\) | 4.98187 | + | 3.71491i | 0.193189 | + | 0.144058i | ||||
\(666\) | −19.0881 | + | 10.1686i | −0.739649 | + | 0.394027i | ||||
\(667\) | 5.43803 | + | 7.48481i | 0.210562 | + | 0.289813i | ||||
\(668\) | −4.18833 | − | 1.36087i | −0.162051 | − | 0.0526537i | ||||
\(669\) | −31.0960 | + | 19.4480i | −1.20224 | + | 0.751903i | ||||
\(670\) | −27.6102 | + | 19.5409i | −1.06667 | + | 0.754930i | ||||
\(671\) | −32.0251 | + | 10.4056i | −1.23631 | + | 0.401703i | ||||
\(672\) | 0.402526 | − | 0.480096i | 0.0155278 | − | 0.0185201i | ||||
\(673\) | −10.5561 | + | 32.4882i | −0.406906 | + | 1.25233i | 0.512387 | + | 0.858755i | \(0.328761\pi\) |
−0.919293 | + | 0.393574i | \(0.871239\pi\) | |||||||
\(674\) | −2.83289 | + | 8.71874i | −0.109119 | + | 0.335833i | ||||
\(675\) | −13.5188 | + | 22.1865i | −0.520339 | + | 0.853960i | ||||
\(676\) | −12.5952 | −0.484432 | ||||||||
\(677\) | 25.3996i | 0.976187i | 0.872791 | + | 0.488093i | \(0.162307\pi\) | ||||
−0.872791 | + | 0.488093i | \(0.837693\pi\) | |||||||
\(678\) | 3.86065 | + | 15.4582i | 0.148267 | + | 0.593670i | ||||
\(679\) | 0.0647935 | − | 0.0470752i | 0.00248655 | − | 0.00180658i | ||||
\(680\) | 6.58014 | − | 4.65704i | 0.252337 | − | 0.178589i | ||||
\(681\) | −4.63001 | − | 0.321928i | −0.177422 | − | 0.0123363i | ||||
\(682\) | 11.1987 | − | 13.1424i | 0.428819 | − | 0.503248i | ||||
\(683\) | −6.14397 | −0.235092 | −0.117546 | − | 0.993067i | \(-0.537503\pi\) | ||||
−0.117546 | + | 0.993067i | \(0.537503\pi\) | |||||||
\(684\) | 16.5934 | + | 15.9988i | 0.634464 | + | 0.611729i | ||||
\(685\) | −0.601403 | − | 1.93223i | −0.0229784 | − | 0.0738268i | ||||
\(686\) | −4.77118 | + | 1.55025i | −0.182165 | + | 0.0591889i | ||||
\(687\) | −2.65276 | + | 38.1523i | −0.101209 | + | 1.45560i | ||||
\(688\) | 6.87282 | 0.262024 | ||||||||
\(689\) | −0.732871 | + | 0.238124i | −0.0279202 | + | 0.00907181i | ||||
\(690\) | −10.4902 | − | 9.01940i | −0.399354 | − | 0.343363i | ||||
\(691\) | 1.72623 | − | 5.31278i | 0.0656688 | − | 0.202108i | −0.912838 | − | 0.408322i | \(-0.866114\pi\) |
0.978507 | + | 0.206214i | \(0.0661142\pi\) | |||||||
\(692\) | 12.3328 | + | 8.96029i | 0.468822 | + | 0.340619i | ||||
\(693\) | 3.31364 | − | 0.586979i | 0.125875 | − | 0.0222975i | ||||
\(694\) | 8.11640 | − | 11.1713i | 0.308094 | − | 0.424055i | ||||
\(695\) | −2.74943 | − | 8.83358i | −0.104292 | − | 0.335077i | ||||
\(696\) | 1.67887 | − | 4.16008i | 0.0636375 | − | 0.157687i | ||||
\(697\) | −33.1425 | + | 24.0794i | −1.25536 | + | 0.912073i | ||||
\(698\) | 17.1345 | − | 12.4490i | 0.648552 | − | 0.471201i | ||||
\(699\) | 2.66066 | − | 6.59284i | 0.100635 | − | 0.249364i | ||||
\(700\) | −0.0449059 | + | 1.80803i | −0.00169728 | + | 0.0683371i | ||||
\(701\) | −4.52818 | + | 6.23250i | −0.171027 | + | 0.235398i | −0.885923 | − | 0.463832i | \(-0.846474\pi\) |
0.714896 | + | 0.699231i | \(0.246474\pi\) | |||||||
\(702\) | −0.349442 | − | 3.28731i | −0.0131888 | − | 0.124072i | ||||
\(703\) | −44.8121 | − | 32.5579i | −1.69012 | − | 1.22795i | ||||
\(704\) | 0.958310 | − | 2.94937i | 0.0361177 | − | 0.111159i | ||||
\(705\) | 22.0355 | − | 25.6288i | 0.829904 | − | 0.965235i | ||||
\(706\) | −9.90518 | + | 3.21839i | −0.372786 | + | 0.121126i | ||||
\(707\) | −1.25025 | −0.0470206 | ||||||||
\(708\) | 0.472372 | − | 6.79373i | 0.0177528 | − | 0.255324i | ||||
\(709\) | 19.1764 | − | 6.23077i | 0.720183 | − | 0.234002i | 0.0740804 | − | 0.997252i | \(-0.476398\pi\) |
0.646103 | + | 0.763251i | \(0.276398\pi\) | |||||||
\(710\) | 4.95086 | + | 15.9065i | 0.185803 | + | 0.596961i | ||||
\(711\) | 11.8647 | − | 12.3057i | 0.444962 | − | 0.461499i | ||||
\(712\) | 15.7433 | 0.590004 | ||||||||
\(713\) | −15.1380 | − | 12.8991i | −0.566922 | − | 0.483076i | ||||
\(714\) | 2.25325 | + | 0.156670i | 0.0843256 | + | 0.00586321i | ||||
\(715\) | −2.54863 | − | 3.60107i | −0.0953133 | − | 0.134673i | ||||
\(716\) | −16.6571 | + | 12.1021i | −0.622507 | + | 0.452278i | ||||
\(717\) | −10.5913 | − | 42.4080i | −0.395538 | − | 1.58376i | ||||
\(718\) | 16.3372i | 0.609698i | ||||||||
\(719\) | 5.87557 | 0.219122 | 0.109561 | − | 0.993980i | \(-0.465056\pi\) | ||||
0.109561 | + | 0.993980i | \(0.465056\pi\) | |||||||
\(720\) | −1.01078 | + | 6.63162i | −0.0376694 | + | 0.247146i | ||||
\(721\) | 1.09772 | − | 3.37843i | 0.0408811 | − | 0.125819i | ||||
\(722\) | −12.3710 | + | 38.0741i | −0.460402 | + | 1.41697i | ||||
\(723\) | −5.88504 | + | 7.01913i | −0.218867 | + | 0.261044i | ||||
\(724\) | −10.5014 | + | 3.41210i | −0.390280 | + | 0.126810i | ||||
\(725\) | 3.69478 | + | 12.4119i | 0.137221 | + | 0.460967i | ||||
\(726\) | −2.03069 | + | 1.27003i | −0.0753659 | + | 0.0471352i | ||||
\(727\) | 34.3125 | + | 11.1488i | 1.27258 | + | 0.413486i | 0.865961 | − | 0.500112i | \(-0.166708\pi\) |
0.406618 | + | 0.913598i | \(0.366708\pi\) | |||||||
\(728\) | −0.135266 | − | 0.186177i | −0.00501328 | − | 0.00690018i | ||||
\(729\) | −26.3966 | + | 5.67607i | −0.977653 | + | 0.210225i | ||||
\(730\) | 7.86075 | − | 10.5416i | 0.290939 | − | 0.390163i | ||||
\(731\) | 14.5639 | + | 20.0456i | 0.538667 | + | 0.741412i | ||||
\(732\) | 12.0833 | − | 14.4118i | 0.446610 | − | 0.532676i | ||||
\(733\) | −7.63726 | + | 2.48150i | −0.282089 | + | 0.0916562i | −0.446644 | − | 0.894712i | \(-0.647381\pi\) |
0.164556 | + | 0.986368i | \(0.447381\pi\) | |||||||
\(734\) | −17.6863 | − | 12.8499i | −0.652814 | − | 0.474297i | ||||
\(735\) | 17.3446 | − | 20.1729i | 0.639764 | − | 0.744089i | ||||
\(736\) | −3.39722 | − | 1.10382i | −0.125223 | − | 0.0406875i | ||||
\(737\) | −44.6159 | + | 14.4966i | −1.64345 | + | 0.533989i | ||||
\(738\) | 4.71775 | − | 33.7616i | 0.173663 | − | 1.24278i | ||||
\(739\) | − | 1.84481i | − | 0.0678626i | −0.999424 | − | 0.0339313i | \(-0.989197\pi\) | ||
0.999424 | − | 0.0339313i | \(-0.0108027\pi\) | |||||||
\(740\) | 0.200143 | − | 16.1191i | 0.00735741 | − | 0.592549i | ||||
\(741\) | 7.17832 | − | 4.48945i | 0.263702 | − | 0.164924i | ||||
\(742\) | 0.354445 | + | 0.257520i | 0.0130121 | + | 0.00945384i | ||||
\(743\) | − | 32.1066i | − | 1.17788i | −0.808178 | − | 0.588938i | \(-0.799546\pi\) | ||
0.808178 | − | 0.588938i | \(-0.200454\pi\) | |||||||
\(744\) | −1.41074 | + | 9.53991i | −0.0517203 | + | 0.349750i | ||||
\(745\) | 15.1297 | − | 44.6697i | 0.554311 | − | 1.63657i | ||||
\(746\) | −18.8575 | + | 25.9551i | −0.690422 | + | 0.950284i | ||||
\(747\) | −18.2842 | − | 34.3222i | −0.668982 | − | 1.25578i | ||||
\(748\) | 10.6330 | − | 3.45487i | 0.388781 | − | 0.126323i | ||||
\(749\) | − | 2.07698i | − | 0.0758914i | ||||||
\(750\) | −9.64979 | − | 16.7893i | −0.352361 | − | 0.613060i | ||||
\(751\) | 6.65313 | + | 20.4762i | 0.242776 | + | 0.747189i | 0.995994 | + | 0.0894176i | \(0.0285006\pi\) |
−0.753218 | + | 0.657771i | \(0.771499\pi\) | |||||||
\(752\) | 2.69678 | − | 8.29983i | 0.0983413 | − | 0.302664i | ||||
\(753\) | 5.84554 | − | 14.4847i | 0.213023 | − | 0.527851i | ||||
\(754\) | −1.33310 | − | 0.968553i | −0.0485486 | − | 0.0352726i | ||||
\(755\) | −6.83717 | − | 0.0848940i | −0.248830 | − | 0.00308961i | ||||
\(756\) | −1.39528 | + | 1.25931i | −0.0507459 | + | 0.0458006i | ||||
\(757\) | 31.7365 | − | 23.0579i | 1.15348 | − | 0.838054i | 0.164542 | − | 0.986370i | \(-0.447385\pi\) |
0.988940 | + | 0.148316i | \(0.0473854\pi\) | |||||||
\(758\) | −2.37894 | + | 7.32161i | −0.0864068 | + | 0.265933i | ||||
\(759\) | −10.1739 | − | 16.2673i | −0.369288 | − | 0.590466i | ||||
\(760\) | −16.4042 | + | 5.10577i | −0.595044 | + | 0.185206i | ||||
\(761\) | 5.87060 | − | 18.0678i | 0.212809 | − | 0.654959i | −0.786493 | − | 0.617599i | \(-0.788105\pi\) |
0.999302 | − | 0.0373594i | \(-0.0118946\pi\) | |||||||
\(762\) | −13.4065 | + | 8.38465i | −0.485666 | + | 0.303744i | ||||
\(763\) | −0.143527 | + | 0.197549i | −0.00519604 | + | 0.00715174i | ||||
\(764\) | 16.5841 | − | 5.38850i | 0.599991 | − | 0.194949i | ||||
\(765\) | −21.4840 | + | 11.1048i | −0.776754 | + | 0.401493i | ||||
\(766\) | 6.55617 | + | 2.13023i | 0.236884 | + | 0.0769683i | ||||
\(767\) | −2.37903 | − | 0.772994i | −0.0859019 | − | 0.0279112i | ||||
\(768\) | 0.419684 | + | 1.68044i | 0.0151440 | + | 0.0606375i | ||||
\(769\) | −51.6413 | −1.86223 | −0.931116 | − | 0.364723i | \(-0.881164\pi\) | ||||
−0.931116 | + | 0.364723i | \(0.881164\pi\) | |||||||
\(770\) | −0.804663 | + | 2.37572i | −0.0289980 | + | 0.0856150i | ||||
\(771\) | 3.49160 | + | 13.9806i | 0.125747 | + | 0.503497i | ||||
\(772\) | 11.1671 | + | 15.3702i | 0.401913 | + | 0.553186i | ||||
\(773\) | 26.0466 | − | 35.8501i | 0.936833 | − | 1.28944i | −0.0203010 | − | 0.999794i | \(-0.506462\pi\) |
0.957134 | − | 0.289646i | \(-0.0935375\pi\) | |||||||
\(774\) | −20.4200 | − | 2.85343i | −0.733983 | − | 0.102565i | ||||
\(775\) | −13.9795 | − | 24.0744i | −0.502157 | − | 0.864776i | ||||
\(776\) | 0.221414i | 0.00794828i | ||||||||
\(777\) | 2.90190 | − | 3.46112i | 0.104105 | − | 0.124167i | ||||
\(778\) | 20.4137 | − | 14.8314i | 0.731866 | − | 0.531732i | ||||
\(779\) | 83.0342 | − | 26.9795i | 2.97501 | − | 0.966639i | ||||
\(780\) | 2.27334 | + | 0.950437i | 0.0813987 | + | 0.0340311i | ||||
\(781\) | 23.1043i | 0.826736i | ||||||||
\(782\) | −3.97948 | − | 12.2476i | −0.142306 | − | 0.437972i | ||||
\(783\) | −6.71532 | + | 11.6631i | −0.239986 | + | 0.416805i | ||||
\(784\) | 2.12269 | − | 6.53296i | 0.0758103 | − | 0.233320i | ||||
\(785\) | −7.54884 | + | 5.34262i | −0.269429 | + | 0.190686i | ||||
\(786\) | −36.2652 | + | 9.05711i | −1.29354 | + | 0.323056i | ||||
\(787\) | −6.84969 | − | 4.97659i | −0.244165 | − | 0.177396i | 0.458972 | − | 0.888451i | \(-0.348218\pi\) |
−0.703137 | + | 0.711055i | \(0.748218\pi\) | |||||||
\(788\) | 9.19201 | + | 12.6517i | 0.327452 | + | 0.450699i | ||||
\(789\) | −6.81818 | − | 2.75160i | −0.242734 | − | 0.0979595i | ||||
\(790\) | 3.78645 | + | 12.1654i | 0.134716 | + | 0.432826i | ||||
\(791\) | −1.95581 | − | 2.69194i | −0.0695406 | − | 0.0957144i | ||||
\(792\) | −4.07178 | + | 8.36511i | −0.144684 | + | 0.297241i | ||||
\(793\) | −4.06049 | − | 5.58878i | −0.144192 | − | 0.198463i | ||||
\(794\) | 3.27491 | − | 4.50752i | 0.116222 | − | 0.159966i | ||||
\(795\) | −4.67533 | − | 0.383461i | −0.165817 | − | 0.0136000i | ||||
\(796\) | 7.50039 | − | 10.3234i | 0.265844 | − | 0.365903i | ||||
\(797\) | 4.29387 | + | 1.39516i | 0.152097 | + | 0.0494192i | 0.384076 | − | 0.923302i | \(-0.374520\pi\) |
−0.231979 | + | 0.972721i | \(0.574520\pi\) | |||||||
\(798\) | −4.46390 | − | 1.80149i | −0.158020 | − | 0.0637719i | ||||
\(799\) | 29.9223 | − | 9.72234i | 1.05857 | − | 0.343952i | ||||
\(800\) | −3.97087 | − | 3.03846i | −0.140391 | − | 0.107426i | ||||
\(801\) | −46.7753 | − | 6.53624i | −1.65273 | − | 0.230947i | ||||
\(802\) | −7.40584 | − | 22.7928i | −0.261509 | − | 0.804843i | ||||
\(803\) | 14.7542 | − | 10.7195i | 0.520664 | − | 0.378285i | ||||
\(804\) | 16.8339 | − | 20.0779i | 0.593685 | − | 0.708092i | ||||
\(805\) | 2.73646 | + | 0.926847i | 0.0964476 | + | 0.0326671i | ||||
\(806\) | 3.27417 | + | 1.35181i | 0.115328 | + | 0.0476157i | ||||
\(807\) | 24.1894 | + | 1.68191i | 0.851508 | + | 0.0592059i | ||||
\(808\) | 2.03164 | − | 2.79631i | 0.0714728 | − | 0.0983739i | ||||
\(809\) | 39.0917 | − | 28.4018i | 1.37439 | − | 0.998553i | 0.377011 | − | 0.926209i | \(-0.376952\pi\) |
0.997380 | − | 0.0723446i | \(-0.0230481\pi\) | |||||||
\(810\) | 5.75644 | − | 19.2838i | 0.202261 | − | 0.677562i | ||||
\(811\) | 51.6702 | 1.81439 | 0.907194 | − | 0.420713i | \(-0.138220\pi\) | ||||
0.907194 | + | 0.420713i | \(0.138220\pi\) | |||||||
\(812\) | 0.936861i | 0.0328774i | ||||||||
\(813\) | 14.8487 | − | 3.70842i | 0.520768 | − | 0.130060i | ||||
\(814\) | 6.90867 | − | 21.2627i | 0.242149 | − | 0.745258i | ||||
\(815\) | 14.0031 | + | 10.4419i | 0.490506 | + | 0.365764i | ||||
\(816\) | −4.01190 | + | 4.78502i | −0.140444 | + | 0.167509i | ||||
\(817\) | −16.3180 | − | 50.2216i | −0.570894 | − | 1.75703i | ||||
\(818\) | 12.8847 | − | 17.7342i | 0.450502 | − | 0.620063i | ||||
\(819\) | 0.324596 | + | 0.609316i | 0.0113423 | + | 0.0212912i | ||||
\(820\) | 20.3693 | + | 15.1891i | 0.711325 | + | 0.530425i | ||||
\(821\) | −33.2598 | + | 24.1646i | −1.16077 | + | 0.843352i | −0.989876 | − | 0.141937i | \(-0.954667\pi\) |
−0.170899 | + | 0.985289i | \(0.554667\pi\) | |||||||
\(822\) | 0.831184 | + | 1.32901i | 0.0289909 | + | 0.0463544i | ||||
\(823\) | 0.0882904 | − | 0.271730i | 0.00307761 | − | 0.00947191i | −0.949506 | − | 0.313749i | \(-0.898415\pi\) |
0.952584 | + | 0.304277i | \(0.0984149\pi\) | |||||||
\(824\) | 5.77241 | + | 7.94505i | 0.201092 | + | 0.276779i | ||||
\(825\) | −5.85855 | − | 26.2100i | −0.203969 | − | 0.912516i | ||||
\(826\) | 0.439488 | + | 1.35260i | 0.0152917 | + | 0.0470631i | ||||
\(827\) | −26.0232 | + | 35.8178i | −0.904915 | + | 1.24551i | 0.0639590 | + | 0.997953i | \(0.479627\pi\) |
−0.968874 | + | 0.247556i | \(0.920373\pi\) | |||||||
\(828\) | 9.63532 | + | 4.69006i | 0.334850 | + | 0.162991i | ||||
\(829\) | −0.402874 | − | 0.130902i | −0.0139924 | − | 0.00454640i | 0.302012 | − | 0.953304i | \(-0.402342\pi\) |
−0.316005 | + | 0.948758i | \(0.602342\pi\) | |||||||
\(830\) | 28.9836 | + | 0.359876i | 1.00604 | + | 0.0124915i | ||||
\(831\) | 13.6257 | + | 0.947406i | 0.472672 | + | 0.0328652i | ||||
\(832\) | 0.636208 | 0.0220565 | ||||||||
\(833\) | 23.5524 | − | 7.65265i | 0.816043 | − | 0.265149i | ||||
\(834\) | 3.79992 | + | 6.07581i | 0.131581 | + | 0.210388i | ||||
\(835\) | −8.03792 | + | 5.68877i | −0.278164 | + | 0.196868i | ||||
\(836\) | −23.8272 | −0.824081 | ||||||||
\(837\) | 8.15224 | − | 27.7586i | 0.281783 | − | 0.959478i | ||||
\(838\) | − | 21.0233i | − | 0.726237i | ||||||
\(839\) | −15.1401 | + | 20.8385i | −0.522693 | + | 0.719425i | −0.985995 | − | 0.166775i | \(-0.946665\pi\) |
0.463302 | + | 0.886201i | \(0.346665\pi\) | |||||||
\(840\) | −0.322549 | − | 1.36329i | −0.0111290 | − | 0.0470379i | ||||
\(841\) | −6.88852 | − | 21.2007i | −0.237535 | − | 0.731058i | ||||
\(842\) | −0.114824 | −0.00395710 | ||||||||
\(843\) | −1.93320 | + | 27.8035i | −0.0665828 | + | 0.957604i | ||||
\(844\) | −5.61372 | − | 17.2773i | −0.193232 | − | 0.594708i | ||||
\(845\) | −16.8359 | + | 22.5777i | −0.579172 | + | 0.776697i | ||||
\(846\) | −11.4584 | + | 23.5402i | −0.393947 | + | 0.809330i | ||||
\(847\) | 0.294007 | − | 0.404666i | 0.0101022 | − | 0.0139045i | ||||
\(848\) | −1.15194 | + | 0.374287i | −0.0395576 | + | 0.0128531i | ||||
\(849\) | 29.1292 | − | 34.7427i | 0.999713 | − | 1.19237i | ||||
\(850\) | 0.447568 | − | 18.0203i | 0.0153515 | − | 0.618091i | ||||
\(851\) | −24.4914 | − | 7.95772i | −0.839553 | − | 0.272787i | ||||
\(852\) | −6.84247 | − | 10.9406i | −0.234419 | − | 0.374820i | ||||
\(853\) | −1.96919 | − | 2.71035i | −0.0674237 | − | 0.0928007i | 0.773973 | − | 0.633218i | \(-0.218266\pi\) |
−0.841397 | + | 0.540417i | \(0.818266\pi\) | |||||||
\(854\) | −1.21370 | + | 3.73539i | −0.0415320 | + | 0.127822i | ||||
\(855\) | 50.8589 | − | 8.35928i | 1.73934 | − | 0.285881i | ||||
\(856\) | 4.64538 | + | 3.37507i | 0.158776 | + | 0.115357i | ||||
\(857\) | 0.520665 | + | 1.60244i | 0.0177856 | + | 0.0547384i | 0.959555 | − | 0.281520i | \(-0.0908385\pi\) |
−0.941770 | + | 0.336258i | \(0.890839\pi\) | |||||||
\(858\) | 2.61867 | + | 2.19557i | 0.0893999 | + | 0.0749554i | ||||
\(859\) | −40.1067 | − | 13.0314i | −1.36842 | − | 0.444627i | −0.469576 | − | 0.882892i | \(-0.655593\pi\) |
−0.898846 | + | 0.438265i | \(0.855593\pi\) | |||||||
\(860\) | 9.18680 | − | 12.3199i | 0.313267 | − | 0.420106i | ||||
\(861\) | 1.72502 | + | 6.90706i | 0.0587884 | + | 0.235392i | ||||
\(862\) | 1.24484i | 0.0423995i | ||||||||
\(863\) | 21.3726i | 0.727531i | 0.931490 | + | 0.363766i | \(0.118509\pi\) | ||||
−0.931490 | + | 0.363766i | \(0.881491\pi\) | |||||||
\(864\) | −0.549258 | − | 5.16704i | −0.0186861 | − | 0.175786i | ||||
\(865\) | 32.5469 | − | 10.1301i | 1.10663 | − | 0.344435i | ||||
\(866\) | 4.04708 | + | 2.94038i | 0.137526 | + | 0.0999181i | ||||
\(867\) | 6.91627 | + | 0.480893i | 0.234889 | + | 0.0163320i | ||||
\(868\) | −0.472391 | − | 1.95777i | −0.0160340 | − | 0.0664511i | ||||
\(869\) | 17.6703i | 0.599424i | ||||||||
\(870\) | −5.21306 | − | 8.57019i | −0.176739 | − | 0.290557i | ||||
\(871\) | −5.65689 | − | 7.78604i | −0.191676 | − | 0.263820i | ||||
\(872\) | −0.208607 | − | 0.642027i | −0.00706433 | − | 0.0217418i | ||||
\(873\) | 0.0919257 | − | 0.657849i | 0.00311121 | − | 0.0222648i | ||||
\(874\) | 27.4452i | 0.928349i | ||||||||
\(875\) | 3.18098 | + | 2.49727i | 0.107537 | + | 0.0844230i | ||||
\(876\) | −3.81194 | + | 9.44561i | −0.128794 | + | 0.319137i | ||||
\(877\) | −33.9303 | − | 11.0246i | −1.14574 | − | 0.372275i | −0.326206 | − | 0.945299i | \(-0.605770\pi\) |
−0.819539 | + | 0.573024i | \(0.805770\pi\) | |||||||
\(878\) | 5.24559 | + | 3.81114i | 0.177030 | + | 0.128620i | ||||
\(879\) | 6.18801 | + | 24.7771i | 0.208716 | + | 0.835712i | ||||
\(880\) | −4.00597 | − | 5.66022i | −0.135041 | − | 0.190806i | ||||
\(881\) | −1.11668 | + | 0.811318i | −0.0376220 | + | 0.0273340i | −0.606437 | − | 0.795131i | \(-0.707402\pi\) |
0.568815 | + | 0.822465i | \(0.307402\pi\) | |||||||
\(882\) | −9.01912 | + | 18.5290i | −0.303689 | + | 0.623904i | ||||
\(883\) | 22.1457 | − | 16.0898i | 0.745263 | − | 0.541465i | −0.149092 | − | 0.988823i | \(-0.547635\pi\) |
0.894355 | + | 0.447358i | \(0.147635\pi\) | |||||||
\(884\) | 1.34817 | + | 1.85559i | 0.0453437 | + | 0.0624103i | ||||
\(885\) | −11.5468 | − | 9.92784i | −0.388140 | − | 0.333721i | ||||
\(886\) | 21.1985 | − | 15.4016i | 0.712178 | − | 0.517428i | ||||
\(887\) | −22.6633 | − | 16.4659i | −0.760960 | − | 0.552870i | 0.138244 | − | 0.990398i | \(-0.455854\pi\) |
−0.899205 | + | 0.437528i | \(0.855854\pi\) | |||||||
\(888\) | 3.02559 | + | 12.1146i | 0.101532 | + | 0.406541i | ||||
\(889\) | 1.94102 | − | 2.67158i | 0.0650996 | − | 0.0896019i | ||||
\(890\) | 21.0438 | − | 28.2207i | 0.705390 | − | 0.945962i | ||||
\(891\) | 15.5708 | − | 23.1634i | 0.521641 | − | 0.776002i | ||||
\(892\) | 6.54354 | + | 20.1390i | 0.219094 | + | 0.674302i | ||||
\(893\) | −67.0520 | −2.24381 | ||||||||
\(894\) | −2.53396 | + | 36.4438i | −0.0847484 | + | 1.21886i | ||||
\(895\) | −0.571604 | + | 46.0357i | −0.0191066 | + | 1.53880i | ||||
\(896\) | −0.212612 | − | 0.292636i | −0.00710288 | − | 0.00977627i | ||||
\(897\) | 2.52895 | − | 3.01630i | 0.0844393 | − | 0.100711i | ||||
\(898\) | 6.11873 | 0.204185 | ||||||||
\(899\) | −7.54887 | − | 12.2870i | −0.251769 | − | 0.409796i | ||||
\(900\) | 10.5365 | + | 10.6763i | 0.351216 | + | 0.355876i | ||||
\(901\) | −3.53269 | − | 2.56665i | −0.117691 | − | 0.0855075i | ||||
\(902\) | 20.7130 | + | 28.5091i | 0.689669 | + | 0.949248i | ||||
\(903\) | 4.17759 | − | 1.04334i | 0.139022 | − | 0.0347202i | ||||
\(904\) | 9.19895 | 0.305953 | ||||||||
\(905\) | −7.92064 | + | 23.3852i | −0.263291 | + | 0.777352i | ||||
\(906\) | 5.13862 | − | 1.28336i | 0.170719 | − | 0.0426366i | ||||
\(907\) | 41.4771 | + | 13.4767i | 1.37722 | + | 0.447487i | 0.901756 | − | 0.432246i | \(-0.142279\pi\) |
0.475468 | + | 0.879733i | \(0.342279\pi\) | |||||||
\(908\) | −0.828040 | + | 2.54844i | −0.0274795 | + | 0.0845731i | ||||
\(909\) | −7.19723 | + | 7.46472i | −0.238717 | + | 0.247589i | ||||
\(910\) | −0.514541 | − | 0.00638882i | −0.0170569 | − | 0.000211787i | ||||
\(911\) | 42.1916 | + | 30.6540i | 1.39787 | + | 1.01561i | 0.994949 | + | 0.100378i | \(0.0320053\pi\) |
0.402922 | + | 0.915234i | \(0.367995\pi\) | |||||||
\(912\) | 11.2830 | − | 7.05657i | 0.373616 | − | 0.233666i | ||||
\(913\) | 38.2324 | + | 12.4224i | 1.26531 | + | 0.411123i | ||||
\(914\) | −21.1382 | + | 15.3578i | −0.699190 | + | 0.507992i | ||||
\(915\) | −9.68249 | − | 40.9240i | −0.320093 | − | 1.35291i | ||||
\(916\) | 20.9997 | + | 6.82323i | 0.693851 | + | 0.225446i | ||||
\(917\) | 6.31531 | − | 4.58834i | 0.208550 | − | 0.151520i | ||||
\(918\) | 13.9065 | − | 12.5513i | 0.458983 | − | 0.414254i | ||||
\(919\) | 13.5111 | + | 41.5829i | 0.445690 | + | 1.37169i | 0.881726 | + | 0.471763i | \(0.156382\pi\) |
−0.436036 | + | 0.899929i | \(0.643618\pi\) | |||||||
\(920\) | −6.51969 | + | 4.61426i | −0.214948 | + | 0.152128i | ||||
\(921\) | 34.5764 | + | 13.9539i | 1.13933 | + | 0.459797i | ||||
\(922\) | 4.08805 | − | 12.5817i | 0.134633 | − | 0.414357i | ||||
\(923\) | −4.50790 | + | 1.46470i | −0.148379 | + | 0.0482113i | ||||
\(924\) | 0.134767 | − | 1.93824i | 0.00443350 | − | 0.0637633i | ||||
\(925\) | −28.6269 | − | 21.9049i | −0.941246 | − | 0.720229i | ||||
\(926\) | −9.10203 | − | 28.0132i | −0.299111 | − | 0.920570i | ||||
\(927\) | −13.8520 | − | 26.0024i | −0.454960 | − | 0.854029i | ||||
\(928\) | −2.09538 | − | 1.52238i | −0.0687843 | − | 0.0499747i | ||||
\(929\) | −14.3951 | −0.472288 | −0.236144 | − | 0.971718i | \(-0.575884\pi\) | ||||
−0.236144 | + | 0.971718i | \(0.575884\pi\) | |||||||
\(930\) | 15.2151 | + | 15.2807i | 0.498924 | + | 0.501074i | ||||
\(931\) | −52.7780 | −1.72973 | ||||||||
\(932\) | −3.32074 | − | 2.41266i | −0.108774 | − | 0.0790292i | ||||
\(933\) | −13.3425 | − | 21.3337i | −0.436813 | − | 0.698434i | ||||
\(934\) | −2.42430 | − | 7.46124i | −0.0793256 | − | 0.244139i | ||||
\(935\) | 8.01992 | − | 23.6784i | 0.262280 | − | 0.774365i | ||||
\(936\) | −1.89026 | − | 0.264139i | −0.0617850 | − | 0.00863364i | ||||
\(937\) | 16.7414 | − | 5.43962i | 0.546918 | − | 0.177705i | −0.0225083 | − | 0.999747i | \(-0.507165\pi\) |
0.569427 | + | 0.822042i | \(0.307165\pi\) | |||||||
\(938\) | −1.69088 | + | 5.20398i | −0.0552090 | + | 0.169916i | ||||
\(939\) | −4.76058 | + | 11.7962i | −0.155356 | + | 0.384956i | ||||
\(940\) | −11.2732 | − | 15.9284i | −0.367691 | − | 0.519527i | ||||
\(941\) | 11.1242 | + | 34.2369i | 0.362640 | + | 1.11609i | 0.951446 | + | 0.307817i | \(0.0995983\pi\) |
−0.588806 | + | 0.808275i | \(0.700402\pi\) | |||||||
\(942\) | 4.60251 | − | 5.48945i | 0.149958 | − | 0.178856i | ||||
\(943\) | 32.8380 | − | 23.8582i | 1.06935 | − | 0.776930i | ||||
\(944\) | −3.73939 | − | 1.21500i | −0.121707 | − | 0.0395450i | ||||
\(945\) | 0.392331 | + | 4.18443i | 0.0127625 | + | 0.136119i | ||||
\(946\) | 17.2431 | − | 12.5279i | 0.560622 | − | 0.407316i | ||||
\(947\) | −30.0936 | − | 9.77800i | −0.977910 | − | 0.317742i | −0.223905 | − | 0.974611i | \(-0.571881\pi\) |
−0.754005 | + | 0.656869i | \(0.771881\pi\) | |||||||
\(948\) | −5.23316 | − | 8.36747i | −0.169965 | − | 0.271763i | ||||
\(949\) | 3.02685 | + | 2.19914i | 0.0982557 | + | 0.0713870i | ||||
\(950\) | −12.7749 | + | 36.2304i | −0.414473 | + | 1.17547i | ||||
\(951\) | −19.7789 | − | 16.5832i | −0.641376 | − | 0.537747i | ||||
\(952\) | 0.402975 | − | 1.24023i | 0.0130605 | − | 0.0401960i | ||||
\(953\) | 57.9263 | + | 18.8214i | 1.87642 | + | 0.609685i | 0.988830 | + | 0.149045i | \(0.0476199\pi\) |
0.887587 | + | 0.460640i | \(0.152380\pi\) | |||||||
\(954\) | 3.57795 | − | 0.633798i | 0.115840 | − | 0.0205200i | ||||
\(955\) | 12.5085 | − | 36.9307i | 0.404766 | − | 1.19505i | ||||
\(956\) | −25.2363 | −0.816201 | ||||||||
\(957\) | −3.37094 | − | 13.4974i | −0.108967 | − | 0.436310i | ||||
\(958\) | −19.0454 | − | 26.2137i | −0.615328 | − | 0.846926i | ||||
\(959\) | −0.264838 | − | 0.192416i | −0.00855206 | − | 0.00621344i | ||||
\(960\) | 3.57327 | + | 1.49391i | 0.115327 | + | 0.0482157i | ||||
\(961\) | 21.9704 | + | 21.8701i | 0.708724 | + | 0.705486i | ||||
\(962\) | 4.58657 | 0.147877 | ||||||||
\(963\) | −12.4008 | − | 11.9564i | −0.399610 | − | 0.385291i | ||||
\(964\) | 3.10845 | + | 4.27842i | 0.100116 | + | 0.137798i | ||||
\(965\) | 42.4789 | + | 0.527441i | 1.36744 | + | 0.0169789i | ||||
\(966\) | −2.23255 | − | 0.155230i | −0.0718310 | − | 0.00499446i | ||||
\(967\) | 4.45597 | 0.143294 | 0.0716472 | − | 0.997430i | \(-0.477174\pi\) | ||||
0.0716472 | + | 0.997430i | \(0.477174\pi\) | |||||||
\(968\) | 0.427319 | + | 1.31515i | 0.0137345 | + | 0.0422706i | ||||
\(969\) | 44.4909 | + | 17.9551i | 1.42925 | + | 0.576800i | ||||
\(970\) | 0.396897 | + | 0.295960i | 0.0127436 | + | 0.00950272i | ||||
\(971\) | 14.9237 | − | 20.5407i | 0.478925 | − | 0.659184i | −0.499373 | − | 0.866387i | \(-0.666436\pi\) |
0.978298 | + | 0.207204i | \(0.0664362\pi\) | |||||||
\(972\) | −0.513318 | + | 15.5800i | −0.0164647 | + | 0.499729i | ||||
\(973\) | −1.21076 | − | 0.879668i | −0.0388151 | − | 0.0282008i | ||||
\(974\) | −19.8381 | + | 14.4132i | −0.635653 | + | 0.461829i | ||||
\(975\) | 4.74246 | − | 2.80466i | 0.151880 | − | 0.0898211i | ||||
\(976\) | −6.38232 | − | 8.78452i | −0.204293 | − | 0.281185i | ||||
\(977\) | −37.4572 | + | 27.2143i | −1.19836 | + | 0.870662i | −0.994123 | − | 0.108259i | \(-0.965472\pi\) |
−0.204240 | + | 0.978921i | \(0.565472\pi\) | |||||||
\(978\) | −12.5472 | − | 5.06363i | −0.401214 | − | 0.161917i | ||||
\(979\) | 39.4981 | − | 28.6970i | 1.26236 | − | 0.917162i | ||||
\(980\) | −8.87335 | − | 12.5376i | −0.283449 | − | 0.400498i | ||||
\(981\) | 0.353245 | + | 1.99415i | 0.0112782 | + | 0.0636685i | ||||
\(982\) | −11.7237 | − | 8.51774i | −0.374117 | − | 0.271812i | ||||
\(983\) | −53.8902 | − | 17.5100i | −1.71883 | − | 0.558482i | −0.727067 | − | 0.686567i | \(-0.759117\pi\) |
−0.991763 | + | 0.128085i | \(0.959117\pi\) | |||||||
\(984\) | −18.2514 | − | 7.36569i | −0.581835 | − | 0.234810i | ||||
\(985\) | 34.9658 | + | 0.434154i | 1.11410 | + | 0.0138333i | ||||
\(986\) | − | 9.33751i | − | 0.297367i | ||||||
\(987\) | 0.379247 | − | 5.45438i | 0.0120716 | − | 0.173615i | ||||
\(988\) | −1.51054 | − | 4.64895i | −0.0480565 | − | 0.147903i | ||||
\(989\) | −14.4302 | − | 19.8614i | −0.458852 | − | 0.631556i | ||||
\(990\) | 9.55228 | + | 18.4804i | 0.303591 | + | 0.587347i | ||||
\(991\) | − | 8.10705i | − | 0.257529i | −0.991675 | − | 0.128764i | \(-0.958899\pi\) | ||
0.991675 | − | 0.128764i | \(-0.0411011\pi\) | |||||||
\(992\) | 5.14638 | + | 2.12480i | 0.163398 | + | 0.0674625i | ||||
\(993\) | −0.455186 | + | 6.54655i | −0.0144449 | + | 0.207748i | ||||
\(994\) | 2.18020 | + | 1.58401i | 0.0691516 | + | 0.0502416i | ||||
\(995\) | −8.47963 | − | 27.2440i | −0.268822 | − | 0.863694i | ||||
\(996\) | −21.7833 | + | 5.44030i | −0.690229 | + | 0.172383i | ||||
\(997\) | − | 1.41851i | − | 0.0449246i | −0.999748 | − | 0.0224623i | \(-0.992849\pi\) | ||
0.999748 | − | 0.0224623i | \(-0.00715058\pi\) | |||||||
\(998\) | 2.30228i | 0.0728775i | ||||||||
\(999\) | −3.95972 | − | 37.2504i | −0.125280 | − | 1.17855i |
(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.y.b.29.7 | yes | 128 | |
3.2 | odd | 2 | 930.2.y.a.29.7 | ✓ | 128 | ||
5.4 | even | 2 | 930.2.y.a.29.26 | yes | 128 | ||
15.14 | odd | 2 | inner | 930.2.y.b.29.26 | yes | 128 | |
31.15 | odd | 10 | inner | 930.2.y.b.449.26 | yes | 128 | |
93.77 | even | 10 | 930.2.y.a.449.26 | yes | 128 | ||
155.139 | odd | 10 | 930.2.y.a.449.7 | yes | 128 | ||
465.449 | even | 10 | inner | 930.2.y.b.449.7 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.y.a.29.7 | ✓ | 128 | 3.2 | odd | 2 | ||
930.2.y.a.29.26 | yes | 128 | 5.4 | even | 2 | ||
930.2.y.a.449.7 | yes | 128 | 155.139 | odd | 10 | ||
930.2.y.a.449.26 | yes | 128 | 93.77 | even | 10 | ||
930.2.y.b.29.7 | yes | 128 | 1.1 | even | 1 | trivial | |
930.2.y.b.29.26 | yes | 128 | 15.14 | odd | 2 | inner | |
930.2.y.b.449.7 | yes | 128 | 465.449 | even | 10 | inner | |
930.2.y.b.449.26 | yes | 128 | 31.15 | odd | 10 | inner |