Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,2,Mod(45,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([2, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.45");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.ba (of order \(12\), 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: | \(0.726638658394\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 59.4 | ||
Character | \(\chi\) | \(=\) | 91.59 |
Dual form | 91.2.ba.a.54.4 |
$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.347096 | − | 0.347096i | −0.245434 | − | 0.245434i | 0.573660 | − | 0.819094i | \(-0.305523\pi\) |
−0.819094 | + | 0.573660i | \(0.805523\pi\) | |||||||
\(3\) | −2.11812 | + | 1.22290i | −1.22290 | + | 0.706040i | −0.965535 | − | 0.260275i | \(-0.916187\pi\) |
−0.257363 | + | 0.966315i | \(0.582854\pi\) | |||||||
\(4\) | − | 1.75905i | − | 0.879524i | ||||||
\(5\) | −3.47544 | − | 0.931242i | −1.55427 | − | 0.416464i | −0.623423 | − | 0.781885i | \(-0.714259\pi\) |
−0.930843 | + | 0.365420i | \(0.880925\pi\) | |||||||
\(6\) | 1.15965 | + | 0.310728i | 0.473427 | + | 0.126854i | ||||
\(7\) | 0.701045 | − | 2.55118i | 0.264970 | − | 0.964257i | ||||
\(8\) | −1.30475 | + | 1.30475i | −0.461299 | + | 0.461299i | ||||
\(9\) | 1.49096 | − | 2.58241i | 0.496985 | − | 0.860804i | ||||
\(10\) | 0.883082 | + | 1.52954i | 0.279255 | + | 0.483684i | ||||
\(11\) | −2.04371 | − | 0.547609i | −0.616201 | − | 0.165110i | −0.0628007 | − | 0.998026i | \(-0.520003\pi\) |
−0.553400 | + | 0.832916i | \(0.686670\pi\) | |||||||
\(12\) | 2.15114 | + | 3.72588i | 0.620980 | + | 1.07557i | ||||
\(13\) | 0.582584 | + | 3.55817i | 0.161580 | + | 0.986860i | ||||
\(14\) | −1.12884 | + | 0.642175i | −0.301694 | + | 0.171629i | ||||
\(15\) | 8.50022 | − | 2.27763i | 2.19475 | − | 0.588081i | ||||
\(16\) | −2.61235 | −0.653088 | ||||||||
\(17\) | 1.14424 | 0.277519 | 0.138760 | − | 0.990326i | \(-0.455688\pi\) | ||||
0.138760 | + | 0.990326i | \(0.455688\pi\) | |||||||
\(18\) | −1.41385 | + | 0.378840i | −0.333248 | + | 0.0892934i | ||||
\(19\) | −1.18001 | − | 4.40387i | −0.270713 | − | 1.01032i | −0.958660 | − | 0.284555i | \(-0.908154\pi\) |
0.687946 | − | 0.725762i | \(-0.258512\pi\) | |||||||
\(20\) | −1.63810 | + | 6.11348i | −0.366291 | + | 1.36701i | ||||
\(21\) | 1.63494 | + | 6.26102i | 0.356773 | + | 1.36627i | ||||
\(22\) | 0.519289 | + | 0.899435i | 0.110713 | + | 0.191760i | ||||
\(23\) | − | 1.48235i | − | 0.309092i | −0.987986 | − | 0.154546i | \(-0.950609\pi\) | ||
0.987986 | − | 0.154546i | \(-0.0493914\pi\) | |||||||
\(24\) | 1.16804 | − | 4.35920i | 0.238426 | − | 0.889817i | ||||
\(25\) | 6.88137 | + | 3.97296i | 1.37627 | + | 0.794593i | ||||
\(26\) | 1.03281 | − | 1.43724i | 0.202552 | − | 0.281866i | ||||
\(27\) | − | 0.0442386i | − | 0.00851372i | ||||||
\(28\) | −4.48766 | − | 1.23317i | −0.848087 | − | 0.233048i | ||||
\(29\) | 2.75801 | − | 4.77701i | 0.512149 | − | 0.887068i | −0.487752 | − | 0.872982i | \(-0.662183\pi\) |
0.999901 | − | 0.0140858i | \(-0.00448381\pi\) | |||||||
\(30\) | −3.74095 | − | 2.15984i | −0.683001 | − | 0.394331i | ||||
\(31\) | −1.56920 | − | 5.85632i | −0.281836 | − | 1.05183i | −0.951121 | − | 0.308820i | \(-0.900066\pi\) |
0.669285 | − | 0.743006i | \(-0.266601\pi\) | |||||||
\(32\) | 3.51624 | + | 3.51624i | 0.621589 | + | 0.621589i | ||||
\(33\) | 4.99849 | − | 1.33934i | 0.870125 | − | 0.233149i | ||||
\(34\) | −0.397162 | − | 0.397162i | −0.0681127 | − | 0.0681127i | ||||
\(35\) | −4.81221 | + | 8.21365i | −0.813413 | + | 1.38836i | ||||
\(36\) | −4.54259 | − | 2.62266i | −0.757098 | − | 0.437111i | ||||
\(37\) | −1.91256 | + | 1.91256i | −0.314422 | + | 0.314422i | −0.846620 | − | 0.532198i | \(-0.821366\pi\) |
0.532198 | + | 0.846620i | \(0.321366\pi\) | |||||||
\(38\) | −1.11899 | + | 1.93814i | −0.181524 | + | 0.314408i | ||||
\(39\) | −5.58526 | − | 6.82420i | −0.894358 | − | 1.09275i | ||||
\(40\) | 5.74963 | − | 3.31955i | 0.909096 | − | 0.524867i | ||||
\(41\) | −1.21867 | − | 4.54813i | −0.190324 | − | 0.710299i | −0.993428 | − | 0.114460i | \(-0.963486\pi\) |
0.803104 | − | 0.595839i | \(-0.203180\pi\) | |||||||
\(42\) | 1.60569 | − | 2.74065i | 0.247764 | − | 0.422892i | ||||
\(43\) | −4.55704 | + | 2.63101i | −0.694942 | + | 0.401225i | −0.805461 | − | 0.592649i | \(-0.798082\pi\) |
0.110519 | + | 0.993874i | \(0.464749\pi\) | |||||||
\(44\) | −0.963272 | + | 3.59498i | −0.145219 | + | 0.541964i | ||||
\(45\) | −7.58659 | + | 7.58659i | −1.13094 | + | 1.13094i | ||||
\(46\) | −0.514518 | + | 0.514518i | −0.0758615 | + | 0.0758615i | ||||
\(47\) | −1.74658 | + | 6.51834i | −0.254765 | + | 0.950797i | 0.713456 | + | 0.700700i | \(0.247129\pi\) |
−0.968221 | + | 0.250097i | \(0.919538\pi\) | |||||||
\(48\) | 5.53327 | − | 3.19464i | 0.798659 | − | 0.461106i | ||||
\(49\) | −6.01707 | − | 3.57699i | −0.859582 | − | 0.510998i | ||||
\(50\) | −1.00950 | − | 3.76750i | −0.142765 | − | 0.532804i | ||||
\(51\) | −2.42364 | + | 1.39929i | −0.339378 | + | 0.195940i | ||||
\(52\) | 6.25900 | − | 1.02479i | 0.867967 | − | 0.142113i | ||||
\(53\) | −1.74389 | + | 3.02051i | −0.239542 | + | 0.414899i | −0.960583 | − | 0.277994i | \(-0.910331\pi\) |
0.721041 | + | 0.692892i | \(0.243664\pi\) | |||||||
\(54\) | −0.0153550 | + | 0.0153550i | −0.00208955 | + | 0.00208955i | ||||
\(55\) | 6.59283 | + | 3.80637i | 0.888977 | + | 0.513251i | ||||
\(56\) | 2.41397 | + | 4.24335i | 0.322580 | + | 0.567041i | ||||
\(57\) | 7.88489 | + | 7.88489i | 1.04438 | + | 1.04438i | ||||
\(58\) | −2.61537 | + | 0.700787i | −0.343415 | + | 0.0920179i | ||||
\(59\) | −8.08143 | − | 8.08143i | −1.05211 | − | 1.05211i | −0.998565 | − | 0.0535478i | \(-0.982947\pi\) |
−0.0535478 | − | 0.998565i | \(-0.517053\pi\) | |||||||
\(60\) | −4.00646 | − | 14.9523i | −0.517232 | − | 1.93033i | ||||
\(61\) | 8.20082 | + | 4.73474i | 1.05001 | + | 0.606222i | 0.922651 | − | 0.385635i | \(-0.126018\pi\) |
0.127356 | + | 0.991857i | \(0.459351\pi\) | |||||||
\(62\) | −1.48804 | + | 2.57737i | −0.188982 | + | 0.327326i | ||||
\(63\) | −5.54298 | − | 5.61409i | −0.698350 | − | 0.707309i | ||||
\(64\) | 2.78376i | 0.347970i | ||||||||
\(65\) | 1.28878 | − | 12.9088i | 0.159854 | − | 1.60113i | ||||
\(66\) | −2.19983 | − | 1.27007i | −0.270781 | − | 0.156335i | ||||
\(67\) | 1.99321 | − | 7.43875i | 0.243509 | − | 0.908788i | −0.730618 | − | 0.682786i | \(-0.760768\pi\) |
0.974127 | − | 0.226001i | \(-0.0725654\pi\) | |||||||
\(68\) | − | 2.01278i | − | 0.244085i | ||||||
\(69\) | 1.81276 | + | 3.13980i | 0.218231 | + | 0.377987i | ||||
\(70\) | 4.52123 | − | 1.18063i | 0.540390 | − | 0.141112i | ||||
\(71\) | 1.74779 | − | 6.52285i | 0.207425 | − | 0.774120i | −0.781272 | − | 0.624191i | \(-0.785429\pi\) |
0.988697 | − | 0.149929i | \(-0.0479045\pi\) | |||||||
\(72\) | 1.42408 | + | 5.31473i | 0.167829 | + | 0.626347i | ||||
\(73\) | 5.46953 | − | 1.46556i | 0.640161 | − | 0.171531i | 0.0758844 | − | 0.997117i | \(-0.475822\pi\) |
0.564276 | + | 0.825586i | \(0.309155\pi\) | |||||||
\(74\) | 1.32768 | 0.154340 | ||||||||
\(75\) | −19.4341 | −2.24406 | ||||||||
\(76\) | −7.74662 | + | 2.07570i | −0.888598 | + | 0.238099i | ||||
\(77\) | −2.82978 | + | 4.82997i | −0.322484 | + | 0.550426i | ||||
\(78\) | −0.430029 | + | 4.30727i | −0.0486912 | + | 0.487703i | ||||
\(79\) | 5.91160 | + | 10.2392i | 0.665107 | + | 1.15200i | 0.979256 | + | 0.202626i | \(0.0649475\pi\) |
−0.314149 | + | 0.949374i | \(0.601719\pi\) | |||||||
\(80\) | 9.07908 | + | 2.43273i | 1.01507 | + | 0.271988i | ||||
\(81\) | 4.52697 | + | 7.84094i | 0.502996 | + | 0.871215i | ||||
\(82\) | −1.15564 | + | 2.00163i | −0.127619 | + | 0.221043i | ||||
\(83\) | 5.06789 | − | 5.06789i | 0.556274 | − | 0.556274i | −0.371971 | − | 0.928244i | \(-0.621318\pi\) |
0.928244 | + | 0.371971i | \(0.121318\pi\) | |||||||
\(84\) | 11.0134 | − | 2.87593i | 1.20166 | − | 0.313790i | ||||
\(85\) | −3.97675 | − | 1.06557i | −0.431339 | − | 0.115577i | ||||
\(86\) | 2.49494 | + | 0.668517i | 0.269036 | + | 0.0720881i | ||||
\(87\) | 13.4910i | 1.44639i | ||||||||
\(88\) | 3.38102 | − | 1.95203i | 0.360418 | − | 0.208087i | ||||
\(89\) | 7.05000 | + | 7.05000i | 0.747299 | + | 0.747299i | 0.973971 | − | 0.226672i | \(-0.0727847\pi\) |
−0.226672 | + | 0.973971i | \(0.572785\pi\) | |||||||
\(90\) | 5.26655 | 0.555143 | ||||||||
\(91\) | 9.48597 | + | 1.00816i | 0.994400 | + | 0.105684i | ||||
\(92\) | −2.60753 | −0.271854 | ||||||||
\(93\) | 10.4854 | + | 10.4854i | 1.08729 | + | 1.08729i | ||||
\(94\) | 2.86872 | − | 1.65626i | 0.295886 | − | 0.170830i | ||||
\(95\) | 16.4043i | 1.68304i | ||||||||
\(96\) | −11.7478 | − | 3.14782i | −1.19901 | − | 0.321273i | ||||
\(97\) | −13.1665 | − | 3.52795i | −1.33685 | − | 0.358209i | −0.481587 | − | 0.876398i | \(-0.659939\pi\) |
−0.855266 | + | 0.518190i | \(0.826606\pi\) | |||||||
\(98\) | 0.846943 | + | 3.33006i | 0.0855541 | + | 0.336387i | ||||
\(99\) | −4.46123 | + | 4.46123i | −0.448370 | + | 0.448370i | ||||
\(100\) | 6.98864 | − | 12.1047i | 0.698864 | − | 1.21047i | ||||
\(101\) | 4.87153 | + | 8.43773i | 0.484735 | + | 0.839586i | 0.999846 | − | 0.0175378i | \(-0.00558274\pi\) |
−0.515111 | + | 0.857123i | \(0.672249\pi\) | |||||||
\(102\) | 1.32692 | + | 0.355548i | 0.131385 | + | 0.0352045i | ||||
\(103\) | −6.18363 | − | 10.7104i | −0.609291 | − | 1.05532i | −0.991357 | − | 0.131188i | \(-0.958121\pi\) |
0.382067 | − | 0.924135i | \(-0.375213\pi\) | |||||||
\(104\) | −5.40266 | − | 3.88240i | −0.529774 | − | 0.380701i | ||||
\(105\) | 0.148393 | − | 23.2823i | 0.0144817 | − | 2.27212i | ||||
\(106\) | 1.65370 | − | 0.443108i | 0.160622 | − | 0.0430385i | ||||
\(107\) | −8.18718 | −0.791484 | −0.395742 | − | 0.918362i | \(-0.629513\pi\) | ||||
−0.395742 | + | 0.918362i | \(0.629513\pi\) | |||||||
\(108\) | −0.0778178 | −0.00748802 | ||||||||
\(109\) | −2.87825 | + | 0.771224i | −0.275686 | + | 0.0738699i | −0.394013 | − | 0.919105i | \(-0.628914\pi\) |
0.118327 | + | 0.992975i | \(0.462247\pi\) | |||||||
\(110\) | −0.967168 | − | 3.60952i | −0.0922159 | − | 0.344154i | ||||
\(111\) | 1.71217 | − | 6.38989i | 0.162512 | − | 0.606501i | ||||
\(112\) | −1.83138 | + | 6.66458i | −0.173049 | + | 0.629744i | ||||
\(113\) | −8.19898 | − | 14.2011i | −0.771295 | − | 1.33592i | −0.936853 | − | 0.349723i | \(-0.886276\pi\) |
0.165558 | − | 0.986200i | \(-0.447057\pi\) | |||||||
\(114\) | − | 5.47362i | − | 0.512652i | ||||||
\(115\) | −1.38043 | + | 5.15183i | −0.128726 | + | 0.480410i | ||||
\(116\) | −8.40299 | − | 4.85147i | −0.780198 | − | 0.450448i | ||||
\(117\) | 10.0573 | + | 3.80061i | 0.929796 | + | 0.351366i | ||||
\(118\) | 5.61007i | 0.516448i | ||||||||
\(119\) | 0.802165 | − | 2.91917i | 0.0735343 | − | 0.267600i | ||||
\(120\) | −8.11894 | + | 14.0624i | −0.741154 | + | 1.28372i | ||||
\(121\) | −5.64942 | − | 3.26169i | −0.513584 | − | 0.296518i | ||||
\(122\) | −1.20306 | − | 4.48988i | −0.108920 | − | 0.406495i | ||||
\(123\) | 8.14318 | + | 8.14318i | 0.734246 | + | 0.734246i | ||||
\(124\) | −10.3016 | + | 2.76029i | −0.925107 | + | 0.247882i | ||||
\(125\) | −7.49503 | − | 7.49503i | −0.670376 | − | 0.670376i | ||||
\(126\) | −0.0246824 | + | 3.87257i | −0.00219888 | + | 0.344996i | ||||
\(127\) | 7.41767 | + | 4.28259i | 0.658212 | + | 0.380019i | 0.791595 | − | 0.611046i | \(-0.209251\pi\) |
−0.133384 | + | 0.991064i | \(0.542584\pi\) | |||||||
\(128\) | 7.99871 | − | 7.99871i | 0.706992 | − | 0.706992i | ||||
\(129\) | 6.43490 | − | 11.1456i | 0.566561 | − | 0.981313i | ||||
\(130\) | −4.92791 | + | 4.03325i | −0.432206 | + | 0.353739i | ||||
\(131\) | 12.7190 | − | 7.34330i | 1.11126 | − | 0.641587i | 0.172106 | − | 0.985078i | \(-0.444943\pi\) |
0.939156 | + | 0.343491i | \(0.111610\pi\) | |||||||
\(132\) | −2.35597 | − | 8.79258i | −0.205060 | − | 0.765296i | ||||
\(133\) | −12.0623 | − | 0.0768809i | −1.04594 | − | 0.00666642i | ||||
\(134\) | −3.27379 | + | 1.89013i | −0.282813 | + | 0.163282i | ||||
\(135\) | −0.0411968 | + | 0.153749i | −0.00354566 | + | 0.0132326i | ||||
\(136\) | −1.49295 | + | 1.49295i | −0.128019 | + | 0.128019i | ||||
\(137\) | 1.60893 | − | 1.60893i | 0.137460 | − | 0.137460i | −0.635028 | − | 0.772489i | \(-0.719012\pi\) |
0.772489 | + | 0.635028i | \(0.219012\pi\) | |||||||
\(138\) | 0.460608 | − | 1.71901i | 0.0392096 | − | 0.146332i | ||||
\(139\) | −4.23236 | + | 2.44355i | −0.358984 | + | 0.207259i | −0.668635 | − | 0.743591i | \(-0.733121\pi\) |
0.309651 | + | 0.950850i | \(0.399788\pi\) | |||||||
\(140\) | 14.4482 | + | 8.46492i | 1.22110 | + | 0.715416i | ||||
\(141\) | −4.27178 | − | 15.9425i | −0.359749 | − | 1.34260i | ||||
\(142\) | −2.87071 | + | 1.65740i | −0.240904 | + | 0.139086i | ||||
\(143\) | 0.757858 | − | 7.59089i | 0.0633753 | − | 0.634782i | ||||
\(144\) | −3.89490 | + | 6.74616i | −0.324575 | + | 0.562180i | ||||
\(145\) | −14.0339 | + | 14.0339i | −1.16545 | + | 1.16545i | ||||
\(146\) | −2.40714 | − | 1.38976i | −0.199217 | − | 0.115018i | ||||
\(147\) | 17.1192 | + | 0.218232i | 1.41197 | + | 0.0179995i | ||||
\(148\) | 3.36428 | + | 3.36428i | 0.276542 | + | 0.276542i | ||||
\(149\) | −2.67644 | + | 0.717149i | −0.219262 | + | 0.0587512i | −0.366778 | − | 0.930309i | \(-0.619539\pi\) |
0.147515 | + | 0.989060i | \(0.452872\pi\) | |||||||
\(150\) | 6.74550 | + | 6.74550i | 0.550768 | + | 0.550768i | ||||
\(151\) | 1.63414 | + | 6.09868i | 0.132984 | + | 0.496304i | 0.999998 | − | 0.00198027i | \(-0.000630339\pi\) |
−0.867014 | + | 0.498284i | \(0.833964\pi\) | |||||||
\(152\) | 7.28557 | + | 4.20633i | 0.590938 | + | 0.341178i | ||||
\(153\) | 1.70601 | − | 2.95490i | 0.137923 | − | 0.238890i | ||||
\(154\) | 2.65867 | − | 0.694257i | 0.214242 | − | 0.0559448i | ||||
\(155\) | 21.8146i | 1.75219i | ||||||||
\(156\) | −12.0041 | + | 9.82475i | −0.961097 | + | 0.786610i | ||||
\(157\) | −1.65313 | − | 0.954436i | −0.131934 | − | 0.0761723i | 0.432580 | − | 0.901595i | \(-0.357603\pi\) |
−0.564514 | + | 0.825423i | \(0.690937\pi\) | |||||||
\(158\) | 1.50209 | − | 5.60588i | 0.119500 | − | 0.445980i | ||||
\(159\) | − | 8.53040i | − | 0.676505i | ||||||
\(160\) | −8.94602 | − | 15.4950i | −0.707245 | − | 1.22498i | ||||
\(161\) | −3.78175 | − | 1.03919i | −0.298044 | − | 0.0819000i | ||||
\(162\) | 1.15027 | − | 4.29285i | 0.0903734 | − | 0.337278i | ||||
\(163\) | 1.59773 | + | 5.96280i | 0.125144 | + | 0.467043i | 0.999845 | − | 0.0176201i | \(-0.00560895\pi\) |
−0.874701 | + | 0.484663i | \(0.838942\pi\) | |||||||
\(164\) | −8.00038 | + | 2.14370i | −0.624725 | + | 0.167395i | ||||
\(165\) | −18.6192 | −1.44950 | ||||||||
\(166\) | −3.51809 | −0.273057 | ||||||||
\(167\) | 2.11863 | − | 0.567684i | 0.163944 | − | 0.0439287i | −0.175913 | − | 0.984406i | \(-0.556288\pi\) |
0.339857 | + | 0.940477i | \(0.389621\pi\) | |||||||
\(168\) | −10.3023 | − | 6.03588i | −0.794836 | − | 0.465679i | ||||
\(169\) | −12.3212 | + | 4.14587i | −0.947784 | + | 0.318913i | ||||
\(170\) | 1.01046 | + | 1.75017i | 0.0774987 | + | 0.134232i | ||||
\(171\) | −13.1319 | − | 3.51869i | −1.00422 | − | 0.269081i | ||||
\(172\) | 4.62807 | + | 8.01605i | 0.352887 | + | 0.611218i | ||||
\(173\) | 9.47370 | − | 16.4089i | 0.720272 | − | 1.24755i | −0.240618 | − | 0.970620i | \(-0.577350\pi\) |
0.960891 | − | 0.276928i | \(-0.0893164\pi\) | |||||||
\(174\) | 4.68269 | − | 4.68269i | 0.354993 | − | 0.354993i | ||||
\(175\) | 14.9599 | − | 14.7704i | 1.13086 | − | 1.11654i | ||||
\(176\) | 5.33888 | + | 1.43055i | 0.402433 | + | 0.107832i | ||||
\(177\) | 27.0002 | + | 7.23469i | 2.02946 | + | 0.543792i | ||||
\(178\) | − | 4.89405i | − | 0.366825i | ||||||
\(179\) | 10.2742 | − | 5.93179i | 0.767926 | − | 0.443363i | −0.0642080 | − | 0.997937i | \(-0.520452\pi\) |
0.832134 | + | 0.554574i | \(0.187119\pi\) | |||||||
\(180\) | 13.3452 | + | 13.3452i | 0.994691 | + | 0.994691i | ||||
\(181\) | 10.2064 | 0.758635 | 0.379317 | − | 0.925267i | \(-0.376159\pi\) | ||||
0.379317 | + | 0.925267i | \(0.376159\pi\) | |||||||
\(182\) | −2.94261 | − | 3.64247i | −0.218121 | − | 0.269998i | ||||
\(183\) | −23.1604 | −1.71207 | ||||||||
\(184\) | 1.93410 | + | 1.93410i | 0.142584 | + | 0.142584i | ||||
\(185\) | 8.42804 | − | 4.86593i | 0.619642 | − | 0.357750i | ||||
\(186\) | − | 7.27890i | − | 0.533715i | ||||||
\(187\) | −2.33849 | − | 0.626598i | −0.171008 | − | 0.0458213i | ||||
\(188\) | 11.4661 | + | 3.07232i | 0.836249 | + | 0.224072i | ||||
\(189\) | −0.112861 | − | 0.0310132i | −0.00820941 | − | 0.00225588i | ||||
\(190\) | 5.69386 | − | 5.69386i | 0.413076 | − | 0.413076i | ||||
\(191\) | 2.98574 | − | 5.17145i | 0.216040 | − | 0.374193i | −0.737553 | − | 0.675289i | \(-0.764019\pi\) |
0.953594 | + | 0.301096i | \(0.0973524\pi\) | |||||||
\(192\) | −3.40425 | − | 5.89633i | −0.245681 | − | 0.425531i | ||||
\(193\) | 0.969416 | + | 0.259754i | 0.0697801 | + | 0.0186975i | 0.293540 | − | 0.955947i | \(-0.405167\pi\) |
−0.223760 | + | 0.974644i | \(0.571833\pi\) | |||||||
\(194\) | 3.34549 | + | 5.79456i | 0.240192 | + | 0.416025i | ||||
\(195\) | 13.0563 | + | 28.9184i | 0.934981 | + | 2.07089i | ||||
\(196\) | −6.29210 | + | 10.5843i | −0.449436 | + | 0.756023i | ||||
\(197\) | −4.08621 | + | 1.09490i | −0.291130 | + | 0.0780081i | −0.401428 | − | 0.915890i | \(-0.631486\pi\) |
0.110298 | + | 0.993899i | \(0.464819\pi\) | |||||||
\(198\) | 3.09695 | 0.220091 | ||||||||
\(199\) | −15.0541 | −1.06716 | −0.533579 | − | 0.845750i | \(-0.679153\pi\) | ||||
−0.533579 | + | 0.845750i | \(0.679153\pi\) | |||||||
\(200\) | −14.1622 | + | 3.79475i | −1.00142 | + | 0.268329i | ||||
\(201\) | 4.87498 | + | 18.1937i | 0.343854 | + | 1.28328i | ||||
\(202\) | 1.23782 | − | 4.61959i | 0.0870924 | − | 0.325033i | ||||
\(203\) | −10.2535 | − | 10.3851i | −0.719657 | − | 0.728890i | ||||
\(204\) | 2.46142 | + | 4.26330i | 0.172334 | + | 0.298491i | ||||
\(205\) | 16.9416i | 1.18326i | ||||||||
\(206\) | −1.57121 | + | 5.86383i | −0.109471 | + | 0.408553i | ||||
\(207\) | −3.82804 | − | 2.21012i | −0.266067 | − | 0.153614i | ||||
\(208\) | −1.52191 | − | 9.29519i | −0.105526 | − | 0.644506i | ||||
\(209\) | 9.64640i | 0.667255i | ||||||||
\(210\) | −8.13272 | + | 8.02970i | −0.561211 | + | 0.554102i | ||||
\(211\) | 12.3556 | − | 21.4005i | 0.850592 | − | 1.47327i | −0.0300832 | − | 0.999547i | \(-0.509577\pi\) |
0.880675 | − | 0.473721i | \(-0.157089\pi\) | |||||||
\(212\) | 5.31322 | + | 3.06759i | 0.364913 | + | 0.210683i | ||||
\(213\) | 4.27474 | + | 15.9536i | 0.292900 | + | 1.09312i | ||||
\(214\) | 2.84174 | + | 2.84174i | 0.194257 | + | 0.194257i | ||||
\(215\) | 18.2878 | − | 4.90021i | 1.24722 | − | 0.334192i | ||||
\(216\) | 0.0577203 | + | 0.0577203i | 0.00392737 | + | 0.00392737i | ||||
\(217\) | −16.0406 | − | 0.102237i | −1.08891 | − | 0.00694031i | ||||
\(218\) | 1.26672 | + | 0.731339i | 0.0857929 | + | 0.0495325i | ||||
\(219\) | −9.79291 | + | 9.79291i | −0.661743 | + | 0.661743i | ||||
\(220\) | 6.69560 | − | 11.5971i | 0.451417 | − | 0.781877i | ||||
\(221\) | 0.666617 | + | 4.07141i | 0.0448415 | + | 0.273873i | ||||
\(222\) | −2.81219 | + | 1.62362i | −0.188742 | + | 0.108970i | ||||
\(223\) | 0.193376 | + | 0.721689i | 0.0129494 | + | 0.0483279i | 0.972098 | − | 0.234574i | \(-0.0753696\pi\) |
−0.959149 | + | 0.282902i | \(0.908703\pi\) | |||||||
\(224\) | 11.4356 | − | 6.50553i | 0.764074 | − | 0.434669i | ||||
\(225\) | 20.5197 | − | 11.8470i | 1.36798 | − | 0.789802i | ||||
\(226\) | −2.08329 | + | 7.77496i | −0.138579 | + | 0.517183i | ||||
\(227\) | −7.33399 | + | 7.33399i | −0.486774 | + | 0.486774i | −0.907287 | − | 0.420513i | \(-0.861850\pi\) |
0.420513 | + | 0.907287i | \(0.361850\pi\) | |||||||
\(228\) | 13.8699 | − | 13.8699i | 0.918556 | − | 0.918556i | ||||
\(229\) | 0.444567 | − | 1.65915i | 0.0293778 | − | 0.109639i | −0.949680 | − | 0.313222i | \(-0.898592\pi\) |
0.979058 | + | 0.203582i | \(0.0652584\pi\) | |||||||
\(230\) | 2.26732 | − | 1.30904i | 0.149503 | − | 0.0863154i | ||||
\(231\) | 0.0872615 | − | 13.6910i | 0.00574139 | − | 0.900801i | ||||
\(232\) | 2.63429 | + | 9.83132i | 0.172950 | + | 0.645458i | ||||
\(233\) | 7.19720 | − | 4.15531i | 0.471504 | − | 0.272223i | −0.245365 | − | 0.969431i | \(-0.578908\pi\) |
0.716869 | + | 0.697208i | \(0.245574\pi\) | |||||||
\(234\) | −2.17166 | − | 4.81002i | −0.141966 | − | 0.314441i | ||||
\(235\) | 12.1403 | − | 21.0276i | 0.791946 | − | 1.37169i | ||||
\(236\) | −14.2156 | + | 14.2156i | −0.925359 | + | 0.925359i | ||||
\(237\) | −25.0430 | − | 14.4586i | −1.62672 | − | 0.939185i | ||||
\(238\) | −1.29166 | + | 0.734804i | −0.0837259 | + | 0.0476303i | ||||
\(239\) | 5.13978 | + | 5.13978i | 0.332465 | + | 0.332465i | 0.853522 | − | 0.521057i | \(-0.174462\pi\) |
−0.521057 | + | 0.853522i | \(0.674462\pi\) | |||||||
\(240\) | −22.2056 | + | 5.94996i | −1.43336 | + | 0.384068i | ||||
\(241\) | 5.48024 | + | 5.48024i | 0.353013 | + | 0.353013i | 0.861229 | − | 0.508216i | \(-0.169695\pi\) |
−0.508216 | + | 0.861229i | \(0.669695\pi\) | |||||||
\(242\) | 0.828770 | + | 3.09301i | 0.0532753 | + | 0.198826i | ||||
\(243\) | −19.0624 | − | 11.0057i | −1.22285 | − | 0.706014i | ||||
\(244\) | 8.32864 | − | 14.4256i | 0.533187 | − | 0.923507i | ||||
\(245\) | 17.5810 | + | 18.0350i | 1.12321 | + | 1.15221i | ||||
\(246\) | − | 5.65293i | − | 0.360418i | ||||||
\(247\) | 14.9823 | − | 6.76431i | 0.953299 | − | 0.430403i | ||||
\(248\) | 9.68845 | + | 5.59363i | 0.615217 | + | 0.355196i | ||||
\(249\) | −4.53689 | + | 16.9319i | −0.287514 | + | 1.07302i | ||||
\(250\) | 5.20299i | 0.329066i | ||||||||
\(251\) | −1.76122 | − | 3.05052i | −0.111167 | − | 0.192547i | 0.805074 | − | 0.593174i | \(-0.202126\pi\) |
−0.916241 | + | 0.400627i | \(0.868792\pi\) | |||||||
\(252\) | −9.87546 | + | 9.75037i | −0.622095 | + | 0.614216i | ||||
\(253\) | −0.811749 | + | 3.02949i | −0.0510343 | + | 0.190462i | ||||
\(254\) | −1.08817 | − | 4.06111i | −0.0682780 | − | 0.254817i | ||||
\(255\) | 9.72631 | − | 2.60616i | 0.609085 | − | 0.163204i | ||||
\(256\) | 0.0148769 | 0.000929806 | ||||||||
\(257\) | 10.8515 | 0.676896 | 0.338448 | − | 0.940985i | \(-0.390098\pi\) | ||||
0.338448 | + | 0.940985i | \(0.390098\pi\) | |||||||
\(258\) | −6.10211 | + | 1.63506i | −0.379901 | + | 0.101794i | ||||
\(259\) | 3.53850 | + | 6.22007i | 0.219871 | + | 0.386497i | ||||
\(260\) | −22.7071 | − | 2.26703i | −1.40824 | − | 0.140595i | ||||
\(261\) | −8.22414 | − | 14.2446i | −0.509061 | − | 0.881720i | ||||
\(262\) | −6.96354 | − | 1.86587i | −0.430209 | − | 0.115274i | ||||
\(263\) | 2.34957 | + | 4.06957i | 0.144881 | + | 0.250940i | 0.929328 | − | 0.369254i | \(-0.120387\pi\) |
−0.784448 | + | 0.620195i | \(0.787054\pi\) | |||||||
\(264\) | −4.77427 | + | 8.26928i | −0.293836 | + | 0.508939i | ||||
\(265\) | 8.87362 | − | 8.87362i | 0.545102 | − | 0.545102i | ||||
\(266\) | 4.16009 | + | 4.21346i | 0.255072 | + | 0.258344i | ||||
\(267\) | −23.5542 | − | 6.31132i | −1.44149 | − | 0.386247i | ||||
\(268\) | −13.0851 | − | 3.50615i | −0.799301 | − | 0.214172i | ||||
\(269\) | − | 25.7108i | − | 1.56762i | −0.621002 | − | 0.783809i | \(-0.713274\pi\) | ||
0.621002 | − | 0.783809i | \(-0.286726\pi\) | |||||||
\(270\) | 0.0676648 | − | 0.0390663i | 0.00411795 | − | 0.00237750i | ||||
\(271\) | 0.937761 | + | 0.937761i | 0.0569650 | + | 0.0569650i | 0.735015 | − | 0.678050i | \(-0.237175\pi\) |
−0.678050 | + | 0.735015i | \(0.737175\pi\) | |||||||
\(272\) | −2.98916 | −0.181244 | ||||||||
\(273\) | −21.3253 | + | 9.46496i | −1.29067 | + | 0.572846i | ||||
\(274\) | −1.11691 | −0.0674749 | ||||||||
\(275\) | −11.8879 | − | 11.8879i | −0.716866 | − | 0.716866i | ||||
\(276\) | 5.52306 | − | 3.18874i | 0.332449 | − | 0.191940i | ||||
\(277\) | 0.181365i | 0.0108972i | 0.999985 | + | 0.00544859i | \(0.00173435\pi\) | ||||
−0.999985 | + | 0.00544859i | \(0.998266\pi\) | |||||||
\(278\) | 2.31718 | + | 0.620887i | 0.138975 | + | 0.0372383i | ||||
\(279\) | −17.4630 | − | 4.67921i | −1.04548 | − | 0.280137i | ||||
\(280\) | −4.43803 | − | 16.9955i | −0.265223 | − | 1.01568i | ||||
\(281\) | 5.50563 | − | 5.50563i | 0.328439 | − | 0.328439i | −0.523554 | − | 0.851993i | \(-0.675394\pi\) |
0.851993 | + | 0.523554i | \(0.175394\pi\) | |||||||
\(282\) | −4.05086 | + | 7.01630i | −0.241225 | + | 0.417815i | ||||
\(283\) | −3.65425 | − | 6.32935i | −0.217223 | − | 0.376241i | 0.736735 | − | 0.676181i | \(-0.236366\pi\) |
−0.953958 | + | 0.299941i | \(0.903033\pi\) | |||||||
\(284\) | −11.4740 | − | 3.07445i | −0.680857 | − | 0.182435i | ||||
\(285\) | −20.0607 | − | 34.7462i | −1.18830 | − | 2.05819i | ||||
\(286\) | −2.89782 | + | 2.37172i | −0.171351 | + | 0.140243i | ||||
\(287\) | −12.4575 | − | 0.0793994i | −0.735340 | − | 0.00468680i | ||||
\(288\) | 14.3229 | − | 3.83782i | 0.843987 | − | 0.226146i | ||||
\(289\) | −15.6907 | −0.922983 | ||||||||
\(290\) | 9.74219 | 0.572081 | ||||||||
\(291\) | 32.2025 | − | 8.62863i | 1.88774 | − | 0.505819i | ||||
\(292\) | −2.57799 | − | 9.62118i | −0.150865 | − | 0.563037i | ||||
\(293\) | −8.30804 | + | 31.0060i | −0.485361 | + | 1.81139i | 0.0930708 | + | 0.995659i | \(0.470332\pi\) |
−0.578431 | + | 0.815731i | \(0.696335\pi\) | |||||||
\(294\) | −5.86625 | − | 6.01774i | −0.342127 | − | 0.350962i | ||||
\(295\) | 20.5608 | + | 35.6123i | 1.19710 | + | 2.07343i | ||||
\(296\) | − | 4.99082i | − | 0.290086i | ||||||
\(297\) | −0.0242255 | + | 0.0904107i | −0.00140570 | + | 0.00524616i | ||||
\(298\) | 1.17790 | + | 0.680061i | 0.0682339 | + | 0.0393949i | ||||
\(299\) | 5.27446 | − | 0.863594i | 0.305030 | − | 0.0499430i | ||||
\(300\) | 34.1855i | 1.97370i | ||||||||
\(301\) | 3.51749 | + | 13.4703i | 0.202745 | + | 0.776415i | ||||
\(302\) | 1.54963 | − | 2.68403i | 0.0891709 | − | 0.154449i | ||||
\(303\) | −20.6370 | − | 11.9148i | −1.18556 | − | 0.684485i | ||||
\(304\) | 3.08261 | + | 11.5044i | 0.176800 | + | 0.659825i | ||||
\(305\) | −24.0923 | − | 24.0923i | −1.37952 | − | 1.37952i | ||||
\(306\) | −1.61779 | + | 0.433484i | −0.0924826 | + | 0.0247806i | ||||
\(307\) | 9.65602 | + | 9.65602i | 0.551098 | + | 0.551098i | 0.926758 | − | 0.375659i | \(-0.122584\pi\) |
−0.375659 | + | 0.926758i | \(0.622584\pi\) | |||||||
\(308\) | 8.49615 | + | 4.97773i | 0.484113 | + | 0.283632i | ||||
\(309\) | 26.1953 | + | 15.1239i | 1.49020 | + | 0.860368i | ||||
\(310\) | 7.57176 | − | 7.57176i | 0.430047 | − | 0.430047i | ||||
\(311\) | −8.29369 | + | 14.3651i | −0.470292 | + | 0.814570i | −0.999423 | − | 0.0339706i | \(-0.989185\pi\) |
0.529131 | + | 0.848540i | \(0.322518\pi\) | |||||||
\(312\) | 16.1913 | + | 1.61650i | 0.916649 | + | 0.0915163i | ||||
\(313\) | −8.06261 | + | 4.65495i | −0.455725 | + | 0.263113i | −0.710245 | − | 0.703954i | \(-0.751416\pi\) |
0.254520 | + | 0.967068i | \(0.418083\pi\) | |||||||
\(314\) | 0.242514 | + | 0.905076i | 0.0136859 | + | 0.0510764i | ||||
\(315\) | 14.0362 | + | 24.6733i | 0.790852 | + | 1.39018i | ||||
\(316\) | 18.0112 | − | 10.3988i | 1.01321 | − | 0.584978i | ||||
\(317\) | 8.57788 | − | 32.0131i | 0.481782 | − | 1.79803i | −0.112353 | − | 0.993668i | \(-0.535839\pi\) |
0.594135 | − | 0.804365i | \(-0.297495\pi\) | |||||||
\(318\) | −2.96087 | + | 2.96087i | −0.166037 | + | 0.166037i | ||||
\(319\) | −8.25249 | + | 8.25249i | −0.462051 | + | 0.462051i | ||||
\(320\) | 2.59235 | − | 9.67479i | 0.144917 | − | 0.540837i | ||||
\(321\) | 17.3414 | − | 10.0121i | 0.967904 | − | 0.558820i | ||||
\(322\) | 0.951929 | + | 1.67333i | 0.0530490 | + | 0.0932510i | ||||
\(323\) | −1.35022 | − | 5.03909i | −0.0751282 | − | 0.280382i | ||||
\(324\) | 13.7926 | − | 7.96316i | 0.766255 | − | 0.442398i | ||||
\(325\) | −10.1275 | + | 26.7997i | −0.561773 | + | 1.48658i | ||||
\(326\) | 1.51510 | − | 2.62423i | 0.0839136 | − | 0.145343i | ||||
\(327\) | 5.15335 | − | 5.15335i | 0.284981 | − | 0.284981i | ||||
\(328\) | 7.52423 | + | 4.34412i | 0.415456 | + | 0.239864i | ||||
\(329\) | 15.4050 | + | 9.02550i | 0.849307 | + | 0.497592i | ||||
\(330\) | 6.46265 | + | 6.46265i | 0.355757 | + | 0.355757i | ||||
\(331\) | 22.7451 | − | 6.09453i | 1.25018 | − | 0.334985i | 0.427776 | − | 0.903885i | \(-0.359297\pi\) |
0.822407 | + | 0.568900i | \(0.192631\pi\) | |||||||
\(332\) | −8.91467 | − | 8.91467i | −0.489256 | − | 0.489256i | ||||
\(333\) | 2.08747 | + | 7.79055i | 0.114393 | + | 0.426920i | ||||
\(334\) | −0.932407 | − | 0.538326i | −0.0510191 | − | 0.0294559i | ||||
\(335\) | −13.8546 | + | 23.9968i | −0.756955 | + | 1.31109i | ||||
\(336\) | −4.27103 | − | 16.3560i | −0.233004 | − | 0.892292i | ||||
\(337\) | − | 24.5958i | − | 1.33982i | −0.742442 | − | 0.669911i | \(-0.766332\pi\) | ||
0.742442 | − | 0.669911i | \(-0.233668\pi\) | |||||||
\(338\) | 5.71565 | + | 2.83762i | 0.310890 | + | 0.154346i | ||||
\(339\) | 34.7329 | + | 20.0530i | 1.88643 | + | 1.08913i | ||||
\(340\) | −1.87438 | + | 6.99529i | −0.101653 | + | 0.379373i | ||||
\(341\) | 12.8279i | 0.694670i | ||||||||
\(342\) | 3.33672 | + | 5.77937i | 0.180429 | + | 0.312512i | ||||
\(343\) | −13.3438 | + | 12.8430i | −0.720497 | + | 0.693458i | ||||
\(344\) | 2.51299 | − | 9.37860i | 0.135491 | − | 0.505660i | ||||
\(345\) | −3.37624 | − | 12.6003i | −0.181771 | − | 0.678378i | ||||
\(346\) | −8.98376 | + | 2.40719i | −0.482970 | + | 0.129411i | ||||
\(347\) | −33.3591 | −1.79081 | −0.895406 | − | 0.445251i | \(-0.853115\pi\) | ||||
−0.895406 | + | 0.445251i | \(0.853115\pi\) | |||||||
\(348\) | 23.7314 | 1.27214 | ||||||||
\(349\) | 5.28189 | − | 1.41528i | 0.282733 | − | 0.0757580i | −0.114666 | − | 0.993404i | \(-0.536580\pi\) |
0.397399 | + | 0.917646i | \(0.369913\pi\) | |||||||
\(350\) | −10.3193 | − | 0.0657714i | −0.551589 | − | 0.00351563i | ||||
\(351\) | 0.157409 | − | 0.0257727i | 0.00840184 | − | 0.00137564i | ||||
\(352\) | −5.26063 | − | 9.11168i | −0.280393 | − | 0.485654i | ||||
\(353\) | 4.26881 | + | 1.14383i | 0.227206 | + | 0.0608797i | 0.370626 | − | 0.928782i | \(-0.379143\pi\) |
−0.143420 | + | 0.989662i | \(0.545810\pi\) | |||||||
\(354\) | −6.86054 | − | 11.8828i | −0.364633 | − | 0.631563i | ||||
\(355\) | −12.1487 | + | 21.0422i | −0.644787 | + | 1.11680i | ||||
\(356\) | 12.4013 | − | 12.4013i | 0.657267 | − | 0.657267i | ||||
\(357\) | 1.87076 | + | 7.16412i | 0.0990113 | + | 0.379165i | ||||
\(358\) | −5.62502 | − | 1.50722i | −0.297291 | − | 0.0796590i | ||||
\(359\) | −26.8237 | − | 7.18738i | −1.41570 | − | 0.379335i | −0.531743 | − | 0.846906i | \(-0.678463\pi\) |
−0.883956 | + | 0.467570i | \(0.845129\pi\) | |||||||
\(360\) | − | 19.7972i | − | 1.04340i | ||||||
\(361\) | −1.54713 | + | 0.893234i | −0.0814278 | + | 0.0470123i | ||||
\(362\) | −3.54260 | − | 3.54260i | −0.186195 | − | 0.186195i | ||||
\(363\) | 15.9549 | 0.837413 | ||||||||
\(364\) | 1.77340 | − | 16.6863i | 0.0929516 | − | 0.874599i | ||||
\(365\) | −20.3739 | −1.06642 | ||||||||
\(366\) | 8.03889 | + | 8.03889i | 0.420199 | + | 0.420199i | ||||
\(367\) | −14.5923 | + | 8.42486i | −0.761711 | + | 0.439774i | −0.829910 | − | 0.557898i | \(-0.811608\pi\) |
0.0681985 | + | 0.997672i | \(0.478275\pi\) | |||||||
\(368\) | 3.87242i | 0.201864i | ||||||||
\(369\) | −13.5621 | − | 3.63396i | −0.706016 | − | 0.189176i | ||||
\(370\) | −4.61428 | − | 1.23639i | −0.239885 | − | 0.0642770i | ||||
\(371\) | 6.48332 | + | 6.56650i | 0.336597 | + | 0.340915i | ||||
\(372\) | 18.4444 | − | 18.4444i | 0.956296 | − | 0.956296i | ||||
\(373\) | −1.39145 | + | 2.41007i | −0.0720466 | + | 0.124788i | −0.899798 | − | 0.436306i | \(-0.856286\pi\) |
0.827752 | + | 0.561095i | \(0.189620\pi\) | |||||||
\(374\) | 0.594192 | + | 1.02917i | 0.0307250 | + | 0.0532172i | ||||
\(375\) | 25.0410 | + | 6.70972i | 1.29311 | + | 0.346489i | ||||
\(376\) | −6.22595 | − | 10.7837i | −0.321079 | − | 0.556125i | ||||
\(377\) | 18.6042 | + | 7.03046i | 0.958165 | + | 0.362087i | ||||
\(378\) | 0.0284089 | + | 0.0499381i | 0.00146120 | + | 0.00256854i | ||||
\(379\) | 0.734071 | − | 0.196694i | 0.0377067 | − | 0.0101035i | −0.239916 | − | 0.970794i | \(-0.577120\pi\) |
0.277623 | + | 0.960690i | \(0.410453\pi\) | |||||||
\(380\) | 28.8559 | 1.48028 | ||||||||
\(381\) | −20.9487 | −1.07323 | ||||||||
\(382\) | −2.83133 | + | 0.758652i | −0.144863 | + | 0.0388160i | ||||
\(383\) | 8.14389 | + | 30.3934i | 0.416134 | + | 1.55303i | 0.782554 | + | 0.622582i | \(0.213916\pi\) |
−0.366421 | + | 0.930449i | \(0.619417\pi\) | |||||||
\(384\) | −7.16063 | + | 26.7238i | −0.365414 | + | 1.36374i | ||||
\(385\) | 14.3326 | − | 14.1511i | 0.730458 | − | 0.721206i | ||||
\(386\) | −0.246321 | − | 0.426640i | −0.0125374 | − | 0.0217154i | ||||
\(387\) | 15.6909i | 0.797611i | ||||||||
\(388\) | −6.20583 | + | 23.1605i | −0.315053 | + | 1.17579i | ||||
\(389\) | −23.4348 | − | 13.5301i | −1.18819 | − | 0.686003i | −0.230297 | − | 0.973120i | \(-0.573970\pi\) |
−0.957895 | + | 0.287118i | \(0.907303\pi\) | |||||||
\(390\) | 5.50566 | − | 14.5692i | 0.278790 | − | 0.737742i | ||||
\(391\) | − | 1.69617i | − | 0.0857789i | ||||||
\(392\) | 12.5179 | − | 3.18370i | 0.632247 | − | 0.160801i | ||||
\(393\) | −17.9602 | + | 31.1080i | −0.905973 | + | 1.56919i | ||||
\(394\) | 1.79834 | + | 1.03827i | 0.0905991 | + | 0.0523074i | ||||
\(395\) | −11.0103 | − | 41.0909i | −0.553987 | − | 2.06751i | ||||
\(396\) | 7.84752 | + | 7.84752i | 0.394353 | + | 0.394353i | ||||
\(397\) | 0.220507 | − | 0.0590847i | 0.0110669 | − | 0.00296537i | −0.253281 | − | 0.967393i | \(-0.581510\pi\) |
0.264348 | + | 0.964427i | \(0.414843\pi\) | |||||||
\(398\) | 5.22522 | + | 5.22522i | 0.261917 | + | 0.261917i | ||||
\(399\) | 25.6434 | − | 14.5881i | 1.28378 | − | 0.730320i | ||||
\(400\) | −17.9766 | − | 10.3788i | −0.898828 | − | 0.518939i | ||||
\(401\) | −18.1702 | + | 18.1702i | −0.907379 | + | 0.907379i | −0.996060 | − | 0.0886812i | \(-0.971735\pi\) |
0.0886812 | + | 0.996060i | \(0.471735\pi\) | |||||||
\(402\) | 4.62286 | − | 8.00703i | 0.230567 | − | 0.399354i | ||||
\(403\) | 19.9236 | − | 8.99527i | 0.992466 | − | 0.448086i | ||||
\(404\) | 14.8424 | − | 8.56925i | 0.738436 | − | 0.426336i | ||||
\(405\) | −8.43141 | − | 31.4664i | −0.418960 | − | 1.56358i | ||||
\(406\) | −0.0456581 | + | 7.16358i | −0.00226597 | + | 0.355523i | ||||
\(407\) | 4.95604 | − | 2.86137i | 0.245662 | − | 0.141833i | ||||
\(408\) | 1.33652 | − | 4.98797i | 0.0661678 | − | 0.246941i | ||||
\(409\) | 21.1061 | − | 21.1061i | 1.04363 | − | 1.04363i | 0.0446236 | − | 0.999004i | \(-0.485791\pi\) |
0.999004 | − | 0.0446236i | \(-0.0142088\pi\) | |||||||
\(410\) | 5.88038 | − | 5.88038i | 0.290411 | − | 0.290411i | ||||
\(411\) | −1.44035 | + | 5.37547i | −0.0710474 | + | 0.265153i | ||||
\(412\) | −18.8400 | + | 10.8773i | −0.928182 | + | 0.535886i | ||||
\(413\) | −26.2827 | + | 14.9518i | −1.29329 | + | 0.735728i | ||||
\(414\) | 0.561574 | + | 2.09582i | 0.0275998 | + | 0.103004i | ||||
\(415\) | −22.3326 | + | 12.8937i | −1.09627 | + | 0.632929i | ||||
\(416\) | −10.4629 | + | 14.5599i | −0.512985 | + | 0.713857i | ||||
\(417\) | 5.97643 | − | 10.3515i | 0.292667 | − | 0.506914i | ||||
\(418\) | 3.34823 | − | 3.34823i | 0.163767 | − | 0.163767i | ||||
\(419\) | 7.72615 | + | 4.46069i | 0.377447 | + | 0.217919i | 0.676707 | − | 0.736253i | \(-0.263406\pi\) |
−0.299260 | + | 0.954172i | \(0.596740\pi\) | |||||||
\(420\) | −40.9548 | − | 0.261031i | −1.99839 | − | 0.0127370i | ||||
\(421\) | 18.1408 | + | 18.1408i | 0.884130 | + | 0.884130i | 0.993951 | − | 0.109821i | \(-0.0350278\pi\) |
−0.109821 | + | 0.993951i | \(0.535028\pi\) | |||||||
\(422\) | −11.7166 | + | 3.13945i | −0.570354 | + | 0.152826i | ||||
\(423\) | 14.2290 | + | 14.2290i | 0.691835 | + | 0.691835i | ||||
\(424\) | −1.66567 | − | 6.21635i | −0.0808919 | − | 0.301893i | ||||
\(425\) | 7.87395 | + | 4.54603i | 0.381943 | + | 0.220515i | ||||
\(426\) | 4.05367 | − | 7.02116i | 0.196401 | − | 0.340176i | ||||
\(427\) | 17.8283 | − | 17.6025i | 0.862774 | − | 0.851845i | ||||
\(428\) | 14.4016i | 0.696130i | ||||||||
\(429\) | 7.67765 | + | 17.0052i | 0.370680 | + | 0.821019i | ||||
\(430\) | −8.04848 | − | 4.64679i | −0.388132 | − | 0.224088i | ||||
\(431\) | −3.04559 | + | 11.3663i | −0.146701 | + | 0.547496i | 0.852973 | + | 0.521955i | \(0.174797\pi\) |
−0.999674 | + | 0.0255403i | \(0.991869\pi\) | |||||||
\(432\) | 0.115567i | 0.00556020i | ||||||||
\(433\) | 6.26407 | + | 10.8497i | 0.301032 | + | 0.521403i | 0.976370 | − | 0.216106i | \(-0.0693356\pi\) |
−0.675338 | + | 0.737508i | \(0.736002\pi\) | |||||||
\(434\) | 5.53215 | + | 5.60312i | 0.265552 | + | 0.268958i | ||||
\(435\) | 12.5634 | − | 46.8874i | 0.602370 | − | 2.24808i | ||||
\(436\) | 1.35662 | + | 5.06298i | 0.0649703 | + | 0.242473i | ||||
\(437\) | −6.52808 | + | 1.74919i | −0.312280 | + | 0.0836752i | ||||
\(438\) | 6.79816 | 0.324828 | ||||||||
\(439\) | 17.7638 | 0.847819 | 0.423910 | − | 0.905705i | \(-0.360657\pi\) | ||||
0.423910 | + | 0.905705i | \(0.360657\pi\) | |||||||
\(440\) | −13.5684 | + | 3.63563i | −0.646847 | + | 0.173322i | ||||
\(441\) | −18.2084 | + | 10.2054i | −0.867069 | + | 0.485973i | ||||
\(442\) | 1.18179 | − | 1.64455i | 0.0562120 | − | 0.0782233i | ||||
\(443\) | 3.34945 | + | 5.80142i | 0.159137 | + | 0.275634i | 0.934558 | − | 0.355811i | \(-0.115795\pi\) |
−0.775421 | + | 0.631445i | \(0.782462\pi\) | |||||||
\(444\) | −11.2401 | − | 3.01178i | −0.533433 | − | 0.142933i | ||||
\(445\) | −17.9366 | − | 31.0671i | −0.850278 | − | 1.47272i | ||||
\(446\) | 0.183375 | − | 0.317615i | 0.00868307 | − | 0.0150395i | ||||
\(447\) | 4.79202 | − | 4.79202i | 0.226655 | − | 0.226655i | ||||
\(448\) | 7.10187 | + | 1.95154i | 0.335532 | + | 0.0922016i | ||||
\(449\) | 22.8700 | + | 6.12801i | 1.07930 | + | 0.289199i | 0.754311 | − | 0.656518i | \(-0.227971\pi\) |
0.324993 | + | 0.945716i | \(0.394638\pi\) | |||||||
\(450\) | −11.2343 | − | 3.01023i | −0.529592 | − | 0.141904i | ||||
\(451\) | 9.96240i | 0.469111i | ||||||||
\(452\) | −24.9803 | + | 14.4224i | −1.17498 | + | 0.678373i | ||||
\(453\) | −10.9194 | − | 10.9194i | −0.513036 | − | 0.513036i | ||||
\(454\) | 5.09120 | 0.238942 | ||||||||
\(455\) | −32.0291 | − | 12.3375i | −1.50155 | − | 0.578393i | ||||
\(456\) | −20.5756 | −0.963542 | ||||||||
\(457\) | −22.5829 | − | 22.5829i | −1.05638 | − | 1.05638i | −0.998312 | − | 0.0580710i | \(-0.981505\pi\) |
−0.0580710 | − | 0.998312i | \(-0.518495\pi\) | |||||||
\(458\) | −0.730190 | + | 0.421575i | −0.0341195 | + | 0.0196989i | ||||
\(459\) | − | 0.0506196i | − | 0.00236272i | ||||||
\(460\) | 9.06232 | + | 2.42824i | 0.422533 | + | 0.113217i | ||||
\(461\) | −36.7537 | − | 9.84812i | −1.71179 | − | 0.458673i | −0.735927 | − | 0.677060i | \(-0.763254\pi\) |
−0.975862 | + | 0.218388i | \(0.929920\pi\) | |||||||
\(462\) | −4.78238 | + | 4.72180i | −0.222496 | + | 0.219678i | ||||
\(463\) | −9.11397 | + | 9.11397i | −0.423562 | + | 0.423562i | −0.886428 | − | 0.462866i | \(-0.846821\pi\) |
0.462866 | + | 0.886428i | \(0.346821\pi\) | |||||||
\(464\) | −7.20488 | + | 12.4792i | −0.334478 | + | 0.579333i | ||||
\(465\) | −26.6770 | − | 46.2060i | −1.23712 | − | 2.14275i | ||||
\(466\) | −3.94041 | − | 1.05583i | −0.182536 | − | 0.0489104i | ||||
\(467\) | 8.92031 | + | 15.4504i | 0.412783 | + | 0.714960i | 0.995193 | − | 0.0979345i | \(-0.0312236\pi\) |
−0.582410 | + | 0.812895i | \(0.697890\pi\) | |||||||
\(468\) | 6.68545 | − | 17.6912i | 0.309035 | − | 0.817778i | ||||
\(469\) | −17.5803 | − | 10.2999i | −0.811782 | − | 0.475607i | ||||
\(470\) | −11.5125 | + | 3.08475i | −0.531030 | + | 0.142289i | ||||
\(471\) | 4.66871 | 0.215123 | ||||||||
\(472\) | 21.0885 | 0.970677 | ||||||||
\(473\) | 10.7540 | − | 2.88153i | 0.494470 | − | 0.132493i | ||||
\(474\) | 3.67380 | + | 13.7108i | 0.168743 | + | 0.629759i | ||||
\(475\) | 9.37629 | − | 34.9928i | 0.430214 | − | 1.60558i | ||||
\(476\) | −5.13496 | − | 1.41105i | −0.235361 | − | 0.0646752i | ||||
\(477\) | 5.20013 | + | 9.00689i | 0.238098 | + | 0.412397i | ||||
\(478\) | − | 3.56799i | − | 0.163196i | ||||||
\(479\) | 2.37889 | − | 8.87813i | 0.108694 | − | 0.405652i | −0.890044 | − | 0.455875i | \(-0.849326\pi\) |
0.998738 | + | 0.0502226i | \(0.0159931\pi\) | |||||||
\(480\) | 37.8975 | + | 21.8801i | 1.72978 | + | 0.998686i | ||||
\(481\) | −7.91944 | − | 5.69098i | −0.361095 | − | 0.259487i | ||||
\(482\) | − | 3.80434i | − | 0.173283i | ||||||
\(483\) | 9.28103 | − | 2.42355i | 0.422301 | − | 0.110275i | ||||
\(484\) | −5.73748 | + | 9.93760i | −0.260794 | + | 0.451709i | ||||
\(485\) | 42.4740 | + | 24.5224i | 1.92864 | + | 1.11350i | ||||
\(486\) | 2.79645 | + | 10.4365i | 0.126850 | + | 0.473409i | ||||
\(487\) | 7.82334 | + | 7.82334i | 0.354509 | + | 0.354509i | 0.861784 | − | 0.507275i | \(-0.169347\pi\) |
−0.507275 | + | 0.861784i | \(0.669347\pi\) | |||||||
\(488\) | −16.8777 | + | 4.52236i | −0.764017 | + | 0.204718i | ||||
\(489\) | −10.6761 | − | 10.6761i | −0.482789 | − | 0.482789i | ||||
\(490\) | 0.157590 | − | 12.3621i | 0.00711920 | − | 0.558465i | ||||
\(491\) | 2.45531 | + | 1.41757i | 0.110807 | + | 0.0639743i | 0.554379 | − | 0.832264i | \(-0.312956\pi\) |
−0.443572 | + | 0.896239i | \(0.646289\pi\) | |||||||
\(492\) | 14.3243 | − | 14.3243i | 0.645787 | − | 0.645787i | ||||
\(493\) | 3.15583 | − | 5.46605i | 0.142131 | − | 0.246179i | ||||
\(494\) | −7.54815 | − | 2.85242i | −0.339607 | − | 0.128336i | ||||
\(495\) | 19.6592 | − | 11.3503i | 0.883617 | − | 0.510157i | ||||
\(496\) | 4.09929 | + | 15.2988i | 0.184064 | + | 0.686935i | ||||
\(497\) | −15.4157 | − | 9.03175i | −0.691489 | − | 0.405129i | ||||
\(498\) | 7.45174 | − | 4.30226i | 0.333920 | − | 0.192789i | ||||
\(499\) | −9.92738 | + | 37.0495i | −0.444411 | + | 1.65856i | 0.273077 | + | 0.961992i | \(0.411959\pi\) |
−0.717488 | + | 0.696571i | \(0.754708\pi\) | |||||||
\(500\) | −13.1841 | + | 13.1841i | −0.589612 | + | 0.589612i | ||||
\(501\) | −3.79328 | + | 3.79328i | −0.169471 | + | 0.169471i | ||||
\(502\) | −0.447511 | + | 1.67014i | −0.0199734 | + | 0.0745418i | ||||
\(503\) | 25.0453 | − | 14.4599i | 1.11672 | − | 0.644736i | 0.176155 | − | 0.984362i | \(-0.443634\pi\) |
0.940561 | + | 0.339626i | \(0.110301\pi\) | |||||||
\(504\) | 14.5572 | + | 0.0927824i | 0.648429 | + | 0.00413285i | ||||
\(505\) | −9.07314 | − | 33.8614i | −0.403750 | − | 1.50681i | ||||
\(506\) | 1.33328 | − | 0.769769i | 0.0592715 | − | 0.0342204i | ||||
\(507\) | 21.0278 | − | 23.8490i | 0.933877 | − | 1.05917i | ||||
\(508\) | 7.53329 | − | 13.0480i | 0.334236 | − | 0.578913i | ||||
\(509\) | 9.05020 | − | 9.05020i | 0.401143 | − | 0.401143i | −0.477493 | − | 0.878636i | \(-0.658454\pi\) |
0.878636 | + | 0.477493i | \(0.158454\pi\) | |||||||
\(510\) | −4.28055 | − | 2.47138i | −0.189546 | − | 0.109434i | ||||
\(511\) | 0.0954849 | − | 14.9812i | 0.00422400 | − | 0.662730i | ||||
\(512\) | −16.0026 | − | 16.0026i | −0.707221 | − | 0.707221i | ||||
\(513\) | −0.194821 | + | 0.0522021i | −0.00860155 | + | 0.00230478i | ||||
\(514\) | −3.76650 | − | 3.76650i | −0.166133 | − | 0.166133i | ||||
\(515\) | 11.5169 | + | 42.9817i | 0.507496 | + | 1.89400i | ||||
\(516\) | −19.6056 | − | 11.3193i | −0.863089 | − | 0.498305i | ||||
\(517\) | 7.13901 | − | 12.3651i | 0.313973 | − | 0.543817i | ||||
\(518\) | 0.930765 | − | 3.38716i | 0.0408955 | − | 0.148823i | ||||
\(519\) | 46.3415i | 2.03416i | ||||||||
\(520\) | 15.1612 | + | 18.5243i | 0.664861 | + | 0.812342i | ||||
\(521\) | 13.9866 | + | 8.07515i | 0.612763 | + | 0.353779i | 0.774046 | − | 0.633129i | \(-0.218230\pi\) |
−0.161283 | + | 0.986908i | \(0.551563\pi\) | |||||||
\(522\) | −2.08969 | + | 7.79881i | −0.0914631 | + | 0.341345i | ||||
\(523\) | − | 36.1273i | − | 1.57974i | −0.613277 | − | 0.789868i | \(-0.710149\pi\) | ||
0.613277 | − | 0.789868i | \(-0.289851\pi\) | |||||||
\(524\) | −12.9172 | − | 22.3733i | −0.564292 | − | 0.977382i | ||||
\(525\) | −13.6242 | + | 49.5800i | −0.594608 | + | 2.16385i | ||||
\(526\) | 0.597006 | − | 2.22806i | 0.0260307 | − | 0.0971479i | ||||
\(527\) | −1.79554 | − | 6.70104i | −0.0782149 | − | 0.291902i | ||||
\(528\) | −13.0578 | + | 3.49883i | −0.568268 | + | 0.152267i | ||||
\(529\) | 20.8026 | 0.904462 | ||||||||
\(530\) | −6.15999 | −0.267573 | ||||||||
\(531\) | −32.9187 | + | 8.82053i | −1.42855 | + | 0.382778i | ||||
\(532\) | −0.135237 | + | 21.2182i | −0.00586328 | + | 0.919925i | ||||
\(533\) | 15.4731 | − | 6.98590i | 0.670212 | − | 0.302593i | ||||
\(534\) | 5.98493 | + | 10.3662i | 0.258993 | + | 0.448589i | ||||
\(535\) | 28.4541 | + | 7.62425i | 1.23018 | + | 0.329625i | ||||
\(536\) | 7.10508 | + | 12.3064i | 0.306893 | + | 0.531553i | ||||
\(537\) | −14.5079 | + | 25.1285i | −0.626063 | + | 1.08437i | ||||
\(538\) | −8.92413 | + | 8.92413i | −0.384747 | + | 0.384747i | ||||
\(539\) | 10.3383 | + | 10.6053i | 0.445304 | + | 0.456804i | ||||
\(540\) | 0.270451 | + | 0.0724673i | 0.0116384 | + | 0.00311849i | ||||
\(541\) | 25.1563 | + | 6.74062i | 1.08155 | + | 0.289802i | 0.755233 | − | 0.655457i | \(-0.227524\pi\) |
0.326322 | + | 0.945259i | \(0.394191\pi\) | |||||||
\(542\) | − | 0.650986i | − | 0.0279623i | ||||||
\(543\) | −21.6184 | + | 12.4814i | −0.927732 | + | 0.535627i | ||||
\(544\) | 4.02342 | + | 4.02342i | 0.172503 | + | 0.172503i | ||||
\(545\) | 10.7214 | 0.459254 | ||||||||
\(546\) | 10.6872 | + | 4.11668i | 0.457369 | + | 0.176177i | ||||
\(547\) | −21.3472 | −0.912739 | −0.456369 | − | 0.889790i | \(-0.650850\pi\) | ||||
−0.456369 | + | 0.889790i | \(0.650850\pi\) | |||||||
\(548\) | −2.83019 | − | 2.83019i | −0.120900 | − | 0.120900i | ||||
\(549\) | 24.4541 | − | 14.1186i | 1.04368 | − | 0.602567i | ||||
\(550\) | 8.25247i | 0.351886i | ||||||||
\(551\) | −24.2918 | − | 6.50897i | −1.03487 | − | 0.277291i | ||||
\(552\) | −6.46186 | − | 1.73145i | −0.275035 | − | 0.0736954i | ||||
\(553\) | 30.2664 | − | 7.90344i | 1.28706 | − | 0.336089i | ||||
\(554\) | 0.0629511 | − | 0.0629511i | 0.00267454 | − | 0.00267454i | ||||
\(555\) | −11.9011 | + | 20.6133i | −0.505172 | + | 0.874984i | ||||
\(556\) | 4.29833 | + | 7.44492i | 0.182290 | + | 0.315735i | ||||
\(557\) | 6.33615 | + | 1.69776i | 0.268471 | + | 0.0719366i | 0.390543 | − | 0.920585i | \(-0.372287\pi\) |
−0.122072 | + | 0.992521i | \(0.538954\pi\) | |||||||
\(558\) | 4.43721 | + | 7.68548i | 0.187842 | + | 0.325352i | ||||
\(559\) | −12.0164 | − | 14.6819i | −0.508241 | − | 0.620980i | ||||
\(560\) | 12.5712 | − | 21.4569i | 0.531230 | − | 0.906721i | ||||
\(561\) | 5.71948 | − | 1.53253i | 0.241476 | − | 0.0647034i | ||||
\(562\) | −3.82197 | −0.161220 | ||||||||
\(563\) | −10.0916 | −0.425310 | −0.212655 | − | 0.977127i | \(-0.568211\pi\) | ||||
−0.212655 | + | 0.977127i | \(0.568211\pi\) | |||||||
\(564\) | −28.0437 | + | 7.51428i | −1.18085 | + | 0.316408i | ||||
\(565\) | 15.2705 | + | 56.9902i | 0.642434 | + | 2.39760i | ||||
\(566\) | −0.928516 | + | 3.46527i | −0.0390284 | + | 0.145656i | ||||
\(567\) | 23.1773 | − | 6.05227i | 0.973354 | − | 0.254172i | ||||
\(568\) | 6.23026 | + | 10.7911i | 0.261416 | + | 0.452786i | ||||
\(569\) | − | 31.3060i | − | 1.31241i | −0.754581 | − | 0.656207i | \(-0.772160\pi\) | ||
0.754581 | − | 0.656207i | \(-0.227840\pi\) | |||||||
\(570\) | −5.09727 | + | 19.0233i | −0.213501 | + | 0.796797i | ||||
\(571\) | −8.05884 | − | 4.65277i | −0.337252 | − | 0.194713i | 0.321804 | − | 0.946806i | \(-0.395711\pi\) |
−0.659056 | + | 0.752094i | \(0.729044\pi\) | |||||||
\(572\) | −13.3527 | − | 1.33311i | −0.558306 | − | 0.0557401i | ||||
\(573\) | 14.6050i | 0.610133i | ||||||||
\(574\) | 4.29637 | + | 4.35149i | 0.179327 | + | 0.181628i | ||||
\(575\) | 5.88933 | − | 10.2006i | 0.245602 | − | 0.425395i | ||||
\(576\) | 7.18881 | + | 4.15046i | 0.299534 | + | 0.172936i | ||||
\(577\) | −4.44854 | − | 16.6022i | −0.185195 | − | 0.691158i | −0.994589 | − | 0.103891i | \(-0.966871\pi\) |
0.809393 | − | 0.587267i | \(-0.199796\pi\) | |||||||
\(578\) | 5.44618 | + | 5.44618i | 0.226531 | + | 0.226531i | ||||
\(579\) | −2.37099 | + | 0.635306i | −0.0985351 | + | 0.0264024i | ||||
\(580\) | 24.6862 | + | 24.6862i | 1.02504 | + | 1.02504i | ||||
\(581\) | −9.37630 | − | 16.4819i | −0.388995 | − | 0.683786i | ||||
\(582\) | −14.1723 | − | 8.18239i | −0.587461 | − | 0.339171i | ||||
\(583\) | 5.21806 | − | 5.21806i | 0.216110 | − | 0.216110i | ||||
\(584\) | −5.22419 | + | 9.04857i | −0.216179 | + | 0.374432i | ||||
\(585\) | −31.4142 | − | 22.5746i | −1.29882 | − | 0.933343i | ||||
\(586\) | 13.6457 | − | 7.87838i | 0.563701 | − | 0.325453i | ||||
\(587\) | 5.01190 | + | 18.7047i | 0.206863 | + | 0.772025i | 0.988873 | + | 0.148759i | \(0.0475278\pi\) |
−0.782010 | + | 0.623266i | \(0.785805\pi\) | |||||||
\(588\) | 0.383881 | − | 30.1135i | 0.0158310 | − | 1.24186i | ||||
\(589\) | −23.9388 | + | 13.8211i | −0.986380 | + | 0.569487i | ||||
\(590\) | 5.22433 | − | 19.4975i | 0.215082 | − | 0.802698i | ||||
\(591\) | 7.31614 | − | 7.31614i | 0.300946 | − | 0.300946i | ||||
\(592\) | 4.99627 | − | 4.99627i | 0.205345 | − | 0.205345i | ||||
\(593\) | −2.62077 | + | 9.78085i | −0.107622 | + | 0.401651i | −0.998629 | − | 0.0523376i | \(-0.983333\pi\) |
0.891007 | + | 0.453989i | \(0.149999\pi\) | |||||||
\(594\) | 0.0397897 | − | 0.0229726i | 0.00163259 | − | 0.000942578i | ||||
\(595\) | −5.50633 | + | 9.39840i | −0.225738 | + | 0.385297i | ||||
\(596\) | 1.26150 | + | 4.70799i | 0.0516731 | + | 0.192847i | ||||
\(597\) | 31.8864 | − | 18.4096i | 1.30502 | − | 0.753456i | ||||
\(598\) | −2.13049 | − | 1.53099i | −0.0871224 | − | 0.0626070i | ||||
\(599\) | −8.96728 | + | 15.5318i | −0.366393 | + | 0.634611i | −0.988999 | − | 0.147924i | \(-0.952741\pi\) |
0.622606 | + | 0.782536i | \(0.286074\pi\) | |||||||
\(600\) | 25.3567 | − | 25.3567i | 1.03518 | − | 1.03518i | ||||
\(601\) | 29.5092 | + | 17.0372i | 1.20371 | + | 0.694960i | 0.961377 | − | 0.275234i | \(-0.0887552\pi\) |
0.242329 | + | 0.970194i | \(0.422089\pi\) | |||||||
\(602\) | 3.45458 | − | 5.89639i | 0.140798 | − | 0.240319i | ||||
\(603\) | −16.2381 | − | 16.2381i | −0.661268 | − | 0.661268i | ||||
\(604\) | 10.7279 | − | 2.87453i | 0.436511 | − | 0.116963i | ||||
\(605\) | 16.5968 | + | 16.5968i | 0.674756 | + | 0.674756i | ||||
\(606\) | 3.02744 | + | 11.2986i | 0.122981 | + | 0.458973i | ||||
\(607\) | −27.7235 | − | 16.0061i | −1.12526 | − | 0.649669i | −0.182522 | − | 0.983202i | \(-0.558426\pi\) |
−0.942739 | + | 0.333533i | \(0.891759\pi\) | |||||||
\(608\) | 11.3358 | − | 19.6342i | 0.459729 | − | 0.796274i | ||||
\(609\) | 34.4181 | + | 9.45783i | 1.39469 | + | 0.383250i | ||||
\(610\) | 16.7247i | 0.677162i | ||||||||
\(611\) | −24.2109 | − | 2.41716i | −0.979468 | − | 0.0977880i | ||||
\(612\) | −5.19782 | − | 3.00096i | −0.210109 | − | 0.121307i | ||||
\(613\) | 4.48824 | − | 16.7504i | 0.181279 | − | 0.676541i | −0.814118 | − | 0.580699i | \(-0.802779\pi\) |
0.995397 | − | 0.0958413i | \(-0.0305541\pi\) | |||||||
\(614\) | − | 6.70313i | − | 0.270516i | ||||||
\(615\) | −20.7179 | − | 35.8845i | −0.835426 | − | 1.44700i | ||||
\(616\) | −2.60975 | − | 9.99407i | −0.105150 | − | 0.402672i | ||||
\(617\) | −4.46908 | + | 16.6788i | −0.179918 | + | 0.671464i | 0.815743 | + | 0.578414i | \(0.196328\pi\) |
−0.995661 | + | 0.0930497i | \(0.970338\pi\) | |||||||
\(618\) | −3.84286 | − | 14.3417i | −0.154582 | − | 0.576909i | ||||
\(619\) | −2.93095 | + | 0.785345i | −0.117805 | + | 0.0315657i | −0.317240 | − | 0.948345i | \(-0.602756\pi\) |
0.199435 | + | 0.979911i | \(0.436089\pi\) | |||||||
\(620\) | 38.3730 | 1.54110 | ||||||||
\(621\) | −0.0655771 | −0.00263152 | ||||||||
\(622\) | 7.86477 | − | 2.10736i | 0.315349 | − | 0.0844974i | ||||
\(623\) | 22.9282 | − | 13.0435i | 0.918599 | − | 0.522576i | ||||
\(624\) | 14.5907 | + | 17.8272i | 0.584094 | + | 0.713659i | ||||
\(625\) | −0.795947 | − | 1.37862i | −0.0318379 | − | 0.0551448i | ||||
\(626\) | 4.41421 | + | 1.18278i | 0.176427 | + | 0.0472736i | ||||
\(627\) | −11.7966 | − | 20.4322i | −0.471109 | − | 0.815985i | ||||
\(628\) | −1.67890 | + | 2.90794i | −0.0669954 | + | 0.116039i | ||||
\(629\) | −2.18843 | + | 2.18843i | −0.0872583 | + | 0.0872583i | ||||
\(630\) | 3.69209 | − | 13.4359i | 0.147096 | − | 0.535300i | ||||
\(631\) | −46.4748 | − | 12.4529i | −1.85013 | − | 0.495742i | −0.850587 | − | 0.525834i | \(-0.823753\pi\) |
−0.999547 | + | 0.0300916i | \(0.990420\pi\) | |||||||
\(632\) | −21.0728 | − | 5.64643i | −0.838229 | − | 0.224603i | ||||
\(633\) | 60.4383i | 2.40221i | ||||||||
\(634\) | −14.0890 | + | 8.13426i | −0.559544 | + | 0.323053i | ||||
\(635\) | −21.7916 | − | 21.7916i | −0.864772 | − | 0.864772i | ||||
\(636\) | −15.0054 | −0.595002 | ||||||||
\(637\) | 9.22209 | − | 23.4937i | 0.365393 | − | 0.930853i | ||||
\(638\) | 5.72881 | 0.226806 | ||||||||
\(639\) | −14.2388 | − | 14.2388i | −0.563278 | − | 0.563278i | ||||
\(640\) | −35.2478 | + | 20.3503i | −1.39329 | + | 0.804417i | ||||
\(641\) | − | 50.4462i | − | 1.99251i | −0.0864867 | − | 0.996253i | \(-0.527564\pi\) | ||
0.0864867 | − | 0.996253i | \(-0.472436\pi\) | |||||||
\(642\) | −9.49429 | − | 2.54399i | −0.374710 | − | 0.100403i | ||||
\(643\) | −23.5329 | − | 6.30561i | −0.928046 | − | 0.248669i | −0.237025 | − | 0.971504i | \(-0.576172\pi\) |
−0.691021 | + | 0.722834i | \(0.742839\pi\) | |||||||
\(644\) | −1.82799 | + | 6.65228i | −0.0720331 | + | 0.262137i | ||||
\(645\) | −32.7434 | + | 32.7434i | −1.28927 | + | 1.28927i | ||||
\(646\) | −1.28039 | + | 2.21770i | −0.0503763 | + | 0.0872543i | ||||
\(647\) | 21.8129 | + | 37.7811i | 0.857554 | + | 1.48533i | 0.874255 | + | 0.485467i | \(0.161350\pi\) |
−0.0167008 | + | 0.999861i | \(0.505316\pi\) | |||||||
\(648\) | −16.1370 | − | 4.32391i | −0.633923 | − | 0.169859i | ||||
\(649\) | 12.0906 | + | 20.9415i | 0.474598 | + | 0.822028i | ||||
\(650\) | 12.8173 | − | 5.78685i | 0.502735 | − | 0.226979i | ||||
\(651\) | 34.1010 | − | 19.3995i | 1.33652 | − | 0.760326i | ||||
\(652\) | 10.4889 | − | 2.81048i | 0.410776 | − | 0.110067i | ||||
\(653\) | 48.0114 | 1.87883 | 0.939416 | − | 0.342780i | \(-0.111368\pi\) | ||||
0.939416 | + | 0.342780i | \(0.111368\pi\) | |||||||
\(654\) | −3.57741 | −0.139888 | ||||||||
\(655\) | −51.0425 | + | 13.6768i | −1.99439 | + | 0.534396i | ||||
\(656\) | 3.18359 | + | 11.8813i | 0.124298 | + | 0.463887i | ||||
\(657\) | 4.37016 | − | 16.3097i | 0.170496 | − | 0.636301i | ||||
\(658\) | −2.21431 | − | 8.47974i | −0.0863228 | − | 0.330575i | ||||
\(659\) | 2.00241 | + | 3.46828i | 0.0780030 | + | 0.135105i | 0.902388 | − | 0.430924i | \(-0.141812\pi\) |
−0.824385 | + | 0.566029i | \(0.808479\pi\) | |||||||
\(660\) | 32.7521i | 1.27487i | ||||||||
\(661\) | 5.45564 | − | 20.3607i | 0.212200 | − | 0.791941i | −0.774934 | − | 0.632043i | \(-0.782217\pi\) |
0.987134 | − | 0.159898i | \(-0.0511166\pi\) | |||||||
\(662\) | −10.0101 | − | 5.77934i | −0.389054 | − | 0.224620i | ||||
\(663\) | −6.39089 | − | 7.80853i | −0.248202 | − | 0.303258i | ||||
\(664\) | 13.2247i | 0.513217i | ||||||||
\(665\) | 41.8503 | + | 11.5001i | 1.62288 | + | 0.445956i | ||||
\(666\) | 1.97952 | − | 3.42862i | 0.0767047 | − | 0.132856i | ||||
\(667\) | −7.08120 | − | 4.08833i | −0.274185 | − | 0.158301i | ||||
\(668\) | −0.998584 | − | 3.72677i | −0.0386364 | − | 0.144193i | ||||
\(669\) | −1.29214 | − | 1.29214i | −0.0499572 | − | 0.0499572i | ||||
\(670\) | 13.1381 | − | 3.52033i | 0.507567 | − | 0.136002i | ||||
\(671\) | −14.1673 | − | 14.1673i | −0.546921 | − | 0.546921i | ||||
\(672\) | −16.2664 | + | 27.7641i | −0.627490 | + | 1.07102i | ||||
\(673\) | −39.2951 | − | 22.6870i | −1.51471 | − | 0.874521i | −0.999851 | − | 0.0172480i | \(-0.994510\pi\) |
−0.514863 | − | 0.857273i | \(-0.672157\pi\) | |||||||
\(674\) | −8.53712 | + | 8.53712i | −0.328838 | + | 0.328838i | ||||
\(675\) | 0.175758 | − | 0.304422i | 0.00676494 | − | 0.0117172i | ||||
\(676\) | 7.29279 | + | 21.6736i | 0.280492 | + | 0.833599i | ||||
\(677\) | −12.2354 | + | 7.06412i | −0.470245 | + | 0.271496i | −0.716342 | − | 0.697749i | \(-0.754185\pi\) |
0.246097 | + | 0.969245i | \(0.420852\pi\) | |||||||
\(678\) | −5.09531 | − | 19.0160i | −0.195684 | − | 0.730304i | ||||
\(679\) | −18.2307 | + | 31.1168i | −0.699631 | + | 1.19415i | ||||
\(680\) | 6.57896 | − | 3.79837i | 0.252292 | − | 0.145661i | ||||
\(681\) | 6.56556 | − | 24.5030i | 0.251593 | − | 0.938957i | ||||
\(682\) | 4.45251 | − | 4.45251i | 0.170496 | − | 0.170496i | ||||
\(683\) | −0.171916 | + | 0.171916i | −0.00657818 | + | 0.00657818i | −0.710388 | − | 0.703810i | \(-0.751481\pi\) |
0.703810 | + | 0.710388i | \(0.251481\pi\) | |||||||
\(684\) | −6.18955 | + | 23.0997i | −0.236664 | + | 0.883240i | ||||
\(685\) | −7.09006 | + | 4.09345i | −0.270897 | + | 0.156403i | ||||
\(686\) | 9.08934 | + | 0.173815i | 0.347033 | + | 0.00663630i | ||||
\(687\) | 1.08732 | + | 4.05793i | 0.0414838 | + | 0.154820i | ||||
\(688\) | 11.9046 | − | 6.87311i | 0.453858 | − | 0.262035i | ||||
\(689\) | −11.7635 | − | 4.44536i | −0.448152 | − | 0.169355i | ||||
\(690\) | −3.20164 | + | 5.54540i | −0.121884 | + | 0.211110i | ||||
\(691\) | 25.5418 | − | 25.5418i | 0.971656 | − | 0.971656i | −0.0279531 | − | 0.999609i | \(-0.508899\pi\) |
0.999609 | + | 0.0279531i | \(0.00889891\pi\) | |||||||
\(692\) | −28.8641 | − | 16.6647i | −1.09725 | − | 0.633497i | ||||
\(693\) | 8.25389 | + | 14.5089i | 0.313539 | + | 0.551149i | ||||
\(694\) | 11.5788 | + | 11.5788i | 0.439526 | + | 0.439526i | ||||
\(695\) | 16.9849 | − | 4.55108i | 0.644273 | − | 0.172632i | ||||
\(696\) | −17.6024 | − | 17.6024i | −0.667219 | − | 0.667219i | ||||
\(697\) | −1.39445 | − | 5.20416i | −0.0528186 | − | 0.197122i | ||||
\(698\) | −2.32456 | − | 1.34208i | −0.0879858 | − | 0.0507986i | ||||
\(699\) | −10.1630 | + | 17.6029i | −0.384401 | + | 0.665802i | ||||
\(700\) | −25.9819 | − | 26.3152i | −0.982023 | − | 0.994621i | ||||
\(701\) | 26.1953i | 0.989383i | 0.869069 | + | 0.494691i | \(0.164719\pi\) | ||||
−0.869069 | + | 0.494691i | \(0.835281\pi\) | |||||||
\(702\) | −0.0635815 | − | 0.0456903i | −0.00239973 | − | 0.00172447i | ||||
\(703\) | 10.6795 | + | 6.16581i | 0.402785 | + | 0.232548i | ||||
\(704\) | 1.52441 | − | 5.68918i | 0.0574534 | − | 0.214419i | ||||
\(705\) | 59.3854i | 2.23658i | ||||||||
\(706\) | −1.08467 | − | 1.87871i | −0.0408221 | − | 0.0707060i | ||||
\(707\) | 24.9414 | − | 6.51293i | 0.938016 | − | 0.244944i | ||||
\(708\) | 12.7262 | − | 47.4947i | 0.478279 | − | 1.78496i | ||||
\(709\) | 4.04305 | + | 15.0889i | 0.151840 | + | 0.566674i | 0.999355 | + | 0.0359035i | \(0.0114309\pi\) |
−0.847515 | + | 0.530771i | \(0.821902\pi\) | |||||||
\(710\) | 11.5204 | − | 3.08689i | 0.432354 | − | 0.115849i | ||||
\(711\) | 35.2558 | 1.32219 | ||||||||
\(712\) | −18.3970 | −0.689456 | ||||||||
\(713\) | −8.68112 | + | 2.32610i | −0.325111 | + | 0.0871131i | ||||
\(714\) | 1.83730 | − | 3.13597i | 0.0687593 | − | 0.117361i | ||||
\(715\) | −9.70285 | + | 25.6760i | −0.362866 | + | 0.960227i | ||||
\(716\) | −10.4343 | − | 18.0727i | −0.389948 | − | 0.675410i | ||||
\(717\) | −17.1721 | − | 4.60125i | −0.641304 | − | 0.171837i | ||||
\(718\) | 6.81568 | + | 11.8051i | 0.254359 | + | 0.440562i | ||||
\(719\) | −0.698769 | + | 1.21030i | −0.0260597 | + | 0.0451367i | −0.878761 | − | 0.477262i | \(-0.841629\pi\) |
0.852701 | + | 0.522399i | \(0.174963\pi\) | |||||||
\(720\) | 19.8188 | − | 19.8188i | 0.738604 | − | 0.738604i | ||||
\(721\) | −31.6591 | + | 8.26712i | −1.17905 | + | 0.307884i | ||||
\(722\) | 0.847040 | + | 0.226964i | 0.0315236 | + | 0.00844671i | ||||
\(723\) | −18.3096 | − | 4.90603i | −0.680940 | − | 0.182457i | ||||
\(724\) | − | 17.9535i | − | 0.667238i | ||||||
\(725\) | 37.9578 | − | 21.9149i | 1.40972 | − | 0.813900i | ||||
\(726\) | −5.53787 | − | 5.53787i | −0.205530 | − | 0.205530i | ||||
\(727\) | 8.63150 | 0.320124 | 0.160062 | − | 0.987107i | \(-0.448831\pi\) | ||||
0.160062 | + | 0.987107i | \(0.448831\pi\) | |||||||
\(728\) | −13.6922 | + | 11.0614i | −0.507468 | + | 0.409964i | ||||
\(729\) | 26.6734 | 0.987905 | ||||||||
\(730\) | 7.07168 | + | 7.07168i | 0.261735 | + | 0.261735i | ||||
\(731\) | −5.21435 | + | 3.01051i | −0.192860 | + | 0.111348i | ||||
\(732\) | 40.7403i | 1.50581i | ||||||||
\(733\) | 0.784228 | + | 0.210133i | 0.0289661 | + | 0.00776145i | 0.273273 | − | 0.961937i | \(-0.411894\pi\) |
−0.244307 | + | 0.969698i | \(0.578560\pi\) | |||||||
\(734\) | 7.98916 | + | 2.14069i | 0.294885 | + | 0.0790143i | ||||
\(735\) | −59.2935 | − | 16.7006i | −2.18707 | − | 0.616009i | ||||
\(736\) | 5.21230 | − | 5.21230i | 0.192128 | − | 0.192128i | ||||
\(737\) | −8.14706 | + | 14.1111i | −0.300101 | + | 0.519790i | ||||
\(738\) | 3.44603 | + | 5.96869i | 0.126850 | + | 0.219711i | ||||
\(739\) | 21.6112 | + | 5.79070i | 0.794981 | + | 0.213014i | 0.633379 | − | 0.773842i | \(-0.281667\pi\) |
0.161601 | + | 0.986856i | \(0.448334\pi\) | |||||||
\(740\) | −8.55941 | − | 14.8253i | −0.314650 | − | 0.544990i | ||||
\(741\) | −23.4622 | + | 32.6494i | −0.861905 | + | 1.19941i | ||||
\(742\) | 0.0288697 | − | 4.52954i | 0.00105984 | − | 0.166285i | ||||
\(743\) | 21.2232 | − | 5.68675i | 0.778605 | − | 0.208627i | 0.152436 | − | 0.988313i | \(-0.451288\pi\) |
0.626170 | + | 0.779687i | \(0.284622\pi\) | |||||||
\(744\) | −27.3617 | −1.00313 | ||||||||
\(745\) | 9.96965 | 0.365260 | ||||||||
\(746\) | 1.31949 | − | 0.353557i | 0.0483100 | − | 0.0129446i | ||||
\(747\) | −5.53138 | − | 20.6434i | −0.202383 | − | 0.755302i | ||||
\(748\) | −1.10222 | + | 4.11352i | −0.0403010 | + | 0.150405i | ||||
\(749\) | −5.73958 | + | 20.8870i | −0.209720 | + | 0.763194i | ||||
\(750\) | −6.36272 | − | 11.0206i | −0.232334 | − | 0.402414i | ||||
\(751\) | − | 25.4210i | − | 0.927626i | −0.885933 | − | 0.463813i | \(-0.846481\pi\) | ||
0.885933 | − | 0.463813i | \(-0.153519\pi\) | |||||||
\(752\) | 4.56269 | − | 17.0282i | 0.166384 | − | 0.620954i | ||||
\(753\) | 7.46095 | + | 4.30758i | 0.271892 | + | 0.156977i | ||||
\(754\) | −4.01720 | − | 8.89768i | −0.146298 | − | 0.324035i | ||||
\(755\) | − | 22.7174i | − | 0.826771i | ||||||
\(756\) | −0.0545538 | + | 0.198527i | −0.00198410 | + | 0.00722038i | ||||
\(757\) | 19.9731 | − | 34.5945i | 0.725936 | − | 1.25736i | −0.232651 | − | 0.972560i | \(-0.574740\pi\) |
0.958587 | − | 0.284799i | \(-0.0919267\pi\) | |||||||
\(758\) | −0.323065 | − | 0.186521i | −0.0117342 | − | 0.00677476i | ||||
\(759\) | −1.98537 | − | 7.40951i | −0.0720645 | − | 0.268948i | ||||
\(760\) | −21.4035 | − | 21.4035i | −0.776386 | − | 0.776386i | ||||
\(761\) | 16.8436 | − | 4.51324i | 0.610581 | − | 0.163605i | 0.0597387 | − | 0.998214i | \(-0.480973\pi\) |
0.550842 | + | 0.834609i | \(0.314307\pi\) | |||||||
\(762\) | 7.27120 | + | 7.27120i | 0.263408 | + | 0.263408i | ||||
\(763\) | −0.0502473 | + | 7.88360i | −0.00181907 | + | 0.285405i | ||||
\(764\) | −9.09684 | − | 5.25206i | −0.329112 | − | 0.190013i | ||||
\(765\) | −8.68089 | + | 8.68089i | −0.313858 | + | 0.313858i | ||||
\(766\) | 7.72272 | − | 13.3761i | 0.279033 | − | 0.483300i | ||||
\(767\) | 24.0470 | − | 33.4633i | 0.868288 | − | 1.20829i | ||||
\(768\) | −0.0315111 | + | 0.0181929i | −0.00113706 | + | 0.000656480i | ||||
\(769\) | 0.710240 | + | 2.65065i | 0.0256119 | + | 0.0955849i | 0.977549 | − | 0.210710i | \(-0.0675774\pi\) |
−0.951937 | + | 0.306295i | \(0.900911\pi\) | |||||||
\(770\) | −9.88658 | − | 0.0630135i | −0.356288 | − | 0.00227085i | ||||
\(771\) | −22.9847 | + | 13.2702i | −0.827774 | + | 0.477915i | ||||
\(772\) | 0.456920 | − | 1.70525i | 0.0164449 | − | 0.0613733i | ||||
\(773\) | −9.40098 | + | 9.40098i | −0.338130 | + | 0.338130i | −0.855663 | − | 0.517533i | \(-0.826850\pi\) |
0.517533 | + | 0.855663i | \(0.326850\pi\) | |||||||
\(774\) | 5.44623 | − | 5.44623i | 0.195761 | − | 0.195761i | ||||
\(775\) | 12.4687 | − | 46.5339i | 0.447890 | − | 1.67155i | ||||
\(776\) | 21.7820 | − | 12.5759i | 0.781930 | − | 0.451448i | ||||
\(777\) | −15.1015 | − | 8.84765i | −0.541762 | − | 0.317408i | ||||
\(778\) | 3.43789 | + | 12.8304i | 0.123254 | + | 0.459991i | ||||
\(779\) | −18.5913 | + | 10.7337i | −0.666103 | + | 0.384575i | ||||
\(780\) | 50.8688 | − | 22.9667i | 1.82140 | − | 0.822338i | ||||
\(781\) | −7.14395 | + | 12.3737i | −0.255631 | + | 0.442765i | ||||
\(782\) | −0.588733 | + | 0.588733i | −0.0210530 | + | 0.0210530i | ||||
\(783\) | −0.211328 | − | 0.122010i | −0.00755225 | − | 0.00436029i | ||||
\(784\) | 15.7187 | + | 9.34435i | 0.561382 | + | 0.333727i | ||||
\(785\) | 4.85655 | + | 4.85655i | 0.173338 | + | 0.173338i | ||||
\(786\) | 17.0314 | − | 4.56354i | 0.607489 | − | 0.162776i | ||||
\(787\) | 15.5115 | + | 15.5115i | 0.552925 | + | 0.552925i | 0.927284 | − | 0.374359i | \(-0.122137\pi\) |
−0.374359 | + | 0.927284i | \(0.622137\pi\) | |||||||
\(788\) | 1.92598 | + | 7.18784i | 0.0686101 | + | 0.256056i | ||||
\(789\) | −9.95333 | − | 5.74656i | −0.354348 | − | 0.204583i | ||||
\(790\) | −10.4409 | + | 18.0841i | −0.371469 | + | 0.643403i | ||||
\(791\) | −41.9773 | + | 10.9615i | −1.49254 | + | 0.389747i | ||||
\(792\) | − | 11.6416i | − | 0.413666i | ||||||
\(793\) | −12.0694 | + | 31.9383i | −0.428596 | + | 1.13416i | ||||
\(794\) | −0.0970451 | − | 0.0560290i | −0.00344400 | − | 0.00198840i | ||||
\(795\) | −7.94387 | + | 29.6469i | −0.281740 | + | 1.05147i | ||||
\(796\) | 26.4809i | 0.938591i | ||||||||
\(797\) | 23.0740 | + | 39.9654i | 0.817324 | + | 1.41565i | 0.907647 | + | 0.419735i | \(0.137877\pi\) |
−0.0903225 | + | 0.995913i | \(0.528790\pi\) | |||||||
\(798\) | −13.9642 | − | 3.83726i | −0.494328 | − | 0.135837i | ||||
\(799\) | −1.99851 | + | 7.45855i | −0.0707023 | + | 0.263865i | ||||
\(800\) | 10.2267 | + | 38.1664i | 0.361567 | + | 1.34939i | ||||
\(801\) | 28.7172 | − | 7.69476i | 1.01467 | − | 0.271881i | ||||
\(802\) | 12.6136 | 0.445403 | ||||||||
\(803\) | −11.9807 | −0.422789 | ||||||||
\(804\) | 32.0035 | − | 8.57532i | 1.12868 | − | 0.302428i | ||||
\(805\) | 12.1755 | + | 7.13339i | 0.429131 | + | 0.251419i | ||||
\(806\) | −10.0376 | − | 3.79318i | −0.353560 | − | 0.133609i | ||||
\(807\) | 31.4417 | + | 54.4587i | 1.10680 | + | 1.91704i | ||||
\(808\) | −17.3653 | − | 4.65301i | −0.610908 | − | 0.163692i | ||||
\(809\) | 18.6015 | + | 32.2188i | 0.653994 | + | 1.13275i | 0.982145 | + | 0.188126i | \(0.0602413\pi\) |
−0.328151 | + | 0.944625i | \(0.606425\pi\) | |||||||
\(810\) | −7.99537 | + | 13.8484i | −0.280929 | + | 0.486583i | ||||
\(811\) | 5.71666 | − | 5.71666i | 0.200739 | − | 0.200739i | −0.599578 | − | 0.800317i | \(-0.704665\pi\) |
0.800317 | + | 0.599578i | \(0.204665\pi\) | |||||||
\(812\) | −18.2679 | + | 18.0365i | −0.641076 | + | 0.632956i | ||||
\(813\) | −3.13308 | − | 0.839506i | −0.109882 | − | 0.0294427i | ||||
\(814\) | −2.71339 | − | 0.727051i | −0.0951043 | − | 0.0254831i | ||||
\(815\) | − | 22.2113i | − | 0.778027i | ||||||
\(816\) | 6.33140 | − | 3.65544i | 0.221643 | − | 0.127966i | ||||
\(817\) | 16.9640 | + | 16.9640i | 0.593494 | + | 0.593494i | ||||
\(818\) | −14.6517 | −0.512283 | ||||||||
\(819\) | 16.7466 | − | 22.9936i | 0.585175 | − | 0.803460i | ||||
\(820\) | 29.8012 | 1.04070 | ||||||||
\(821\) | 4.54301 | + | 4.54301i | 0.158552 | + | 0.158552i | 0.781925 | − | 0.623373i | \(-0.214238\pi\) |
−0.623373 | + | 0.781925i | \(0.714238\pi\) | |||||||
\(822\) | 2.36575 | − | 1.36586i | 0.0825149 | − | 0.0476400i | ||||
\(823\) | − | 8.90568i | − | 0.310433i | −0.987881 | − | 0.155216i | \(-0.950393\pi\) | ||
0.987881 | − | 0.155216i | \(-0.0496075\pi\) | |||||||
\(824\) | 22.0424 | + | 5.90625i | 0.767885 | + | 0.205754i | ||||
\(825\) | 39.7176 | + | 10.6423i | 1.38279 | + | 0.370517i | ||||
\(826\) | 14.3123 | + | 3.93291i | 0.497989 | + | 0.136843i | ||||
\(827\) | −0.00569088 | + | 0.00569088i | −0.000197891 | + | 0.000197891i | −0.707206 | − | 0.707008i | \(-0.750045\pi\) |
0.707008 | + | 0.707206i | \(0.250045\pi\) | |||||||
\(828\) | −3.88771 | + | 6.73371i | −0.135107 | + | 0.234013i | ||||
\(829\) | −8.36149 | − | 14.4825i | −0.290407 | − | 0.502999i | 0.683499 | − | 0.729951i | \(-0.260457\pi\) |
−0.973906 | + | 0.226952i | \(0.927124\pi\) | |||||||
\(830\) | 12.2269 | + | 3.27620i | 0.424403 | + | 0.113718i | ||||
\(831\) | −0.221791 | − | 0.384153i | −0.00769384 | − | 0.0133261i | ||||
\(832\) | −9.90509 | + | 1.62177i | −0.343397 | + | 0.0562249i | ||||
\(833\) | −6.88498 | − | 4.09294i | −0.238551 | − | 0.141812i | ||||
\(834\) | −5.66735 | + | 1.51856i | −0.196244 | + | 0.0525835i | ||||
\(835\) | −7.89182 | −0.273108 | ||||||||
\(836\) | 16.9685 | 0.586867 | ||||||||
\(837\) | −0.259075 | + | 0.0694190i | −0.00895495 | + | 0.00239947i | ||||
\(838\) | −1.13343 | − | 4.23000i | −0.0391535 | − | 0.146123i | ||||
\(839\) | −5.65746 | + | 21.1139i | −0.195317 | + | 0.728934i | 0.796867 | + | 0.604154i | \(0.206489\pi\) |
−0.992185 | + | 0.124779i | \(0.960178\pi\) | |||||||
\(840\) | 30.1840 | + | 30.5713i | 1.04145 | + | 1.05481i | ||||
\(841\) | −0.713208 | − | 1.23531i | −0.0245934 | − | 0.0425970i | ||||
\(842\) | − | 12.5932i | − | 0.433991i | ||||||
\(843\) | −4.92877 | + | 18.3944i | −0.169756 | + | 0.633538i | ||||
\(844\) | −37.6444 | − | 21.7340i | −1.29578 | − | 0.748116i | ||||
\(845\) | 46.6824 | − | 2.93473i | 1.60592 | − | 0.100958i | ||||
\(846\) | − | 9.87762i | − | 0.339600i | ||||||
\(847\) | −12.2817 | + | 12.1261i | −0.422003 | + | 0.416658i | ||||
\(848\) | 4.55565 | − | 7.89062i | 0.156442 | − | 0.270965i | ||||
\(849\) | 15.4803 | + | 8.93755i | 0.531282 | + | 0.306736i | ||||
\(850\) | −1.15511 | − | 4.31093i | −0.0396199 | − | 0.147864i | ||||
\(851\) | 2.83508 | + | 2.83508i | 0.0971853 | + | 0.0971853i | ||||
\(852\) | 28.0631 | − | 7.51948i | 0.961425 | − | 0.257613i | ||||
\(853\) | −34.9450 | − | 34.9450i | −1.19649 | − | 1.19649i | −0.975209 | − | 0.221284i | \(-0.928975\pi\) |
−0.221284 | − | 0.975209i | \(-0.571025\pi\) | |||||||
\(854\) | −12.2979 | − | 0.0783825i | −0.420826 | − | 0.00268219i | ||||
\(855\) | 42.3626 | + | 24.4580i | 1.44877 | + | 0.836448i | ||||
\(856\) | 10.6822 | − | 10.6822i | 0.365111 | − | 0.365111i | ||||
\(857\) | −12.4193 | + | 21.5108i | −0.424235 | + | 0.734796i | −0.996349 | − | 0.0853781i | \(-0.972790\pi\) |
0.572114 | + | 0.820174i | \(0.306124\pi\) | |||||||
\(858\) | 3.23756 | − | 8.56732i | 0.110528 | − | 0.292483i | ||||
\(859\) | −17.8657 | + | 10.3147i | −0.609569 | + | 0.351935i | −0.772797 | − | 0.634654i | \(-0.781143\pi\) |
0.163228 | + | 0.986588i | \(0.447809\pi\) | |||||||
\(860\) | −8.61971 | − | 32.1692i | −0.293930 | − | 1.09696i | ||||
\(861\) | 26.4835 | − | 15.0660i | 0.902555 | − | 0.513448i | ||||
\(862\) | 5.00231 | − | 2.88809i | 0.170379 | − | 0.0983686i | ||||
\(863\) | −5.83745 | + | 21.7857i | −0.198709 | + | 0.741593i | 0.792566 | + | 0.609786i | \(0.208745\pi\) |
−0.991275 | + | 0.131807i | \(0.957922\pi\) | |||||||
\(864\) | 0.155553 | − | 0.155553i | 0.00529203 | − | 0.00529203i | ||||
\(865\) | −48.2060 | + | 48.2060i | −1.63905 | + | 1.63905i | ||||
\(866\) | 1.59165 | − | 5.94012i | 0.0540864 | − | 0.201853i | ||||
\(867\) | 33.2348 | − | 19.1881i | 1.12871 | − | 0.651663i | ||||
\(868\) | −0.179840 | + | 28.2162i | −0.00610418 | + | 0.957721i | ||||
\(869\) | −6.47450 | − | 24.1632i | −0.219632 | − | 0.819679i | ||||
\(870\) | −20.6351 | + | 11.9137i | −0.699596 | + | 0.403912i | ||||
\(871\) | 27.6296 | + | 2.75848i | 0.936192 | + | 0.0934674i | ||||
\(872\) | 2.74914 | − | 4.76165i | 0.0930976 | − | 0.161250i | ||||
\(873\) | −28.7412 | + | 28.7412i | −0.972744 | + | 0.972744i | ||||
\(874\) | 2.87301 | + | 1.65873i | 0.0971809 | + | 0.0561074i | ||||
\(875\) | −24.3755 | + | 13.8668i | −0.824044 | + | 0.468785i | ||||
\(876\) | 17.2262 | + | 17.2262i | 0.582019 | + | 0.582019i | ||||
\(877\) | −12.4394 | + | 3.33311i | −0.420047 | + | 0.112551i | −0.462650 | − | 0.886541i | \(-0.653101\pi\) |
0.0426034 | + | 0.999092i | \(0.486435\pi\) | |||||||
\(878\) | −6.16574 | − | 6.16574i | −0.208084 | − | 0.208084i | ||||
\(879\) | −20.3198 | − | 75.8343i | −0.685368 | − | 2.55783i | ||||
\(880\) | −17.2228 | − | 9.94358i | −0.580580 | − | 0.335198i | ||||
\(881\) | −3.52615 | + | 6.10747i | −0.118799 | + | 0.205766i | −0.919292 | − | 0.393576i | \(-0.871238\pi\) |
0.800493 | + | 0.599342i | \(0.204571\pi\) | |||||||
\(882\) | 9.86234 | + | 2.77782i | 0.332082 | + | 0.0935340i | ||||
\(883\) | − | 55.6508i | − | 1.87280i | −0.350938 | − | 0.936399i | \(-0.614137\pi\) | ||
0.350938 | − | 0.936399i | \(-0.385863\pi\) | |||||||
\(884\) | 7.16181 | − | 1.17261i | 0.240878 | − | 0.0394392i | ||||
\(885\) | −87.1005 | − | 50.2875i | −2.92785 | − | 1.69040i | ||||
\(886\) | 0.851068 | − | 3.17623i | 0.0285922 | − | 0.106708i | ||||
\(887\) | − | 14.9081i | − | 0.500565i | −0.968173 | − | 0.250282i | \(-0.919477\pi\) | ||
0.968173 | − | 0.250282i | \(-0.0805235\pi\) | |||||||
\(888\) | 6.10326 | + | 10.5712i | 0.204812 | + | 0.354745i | ||||
\(889\) | 16.1258 | − | 15.9215i | 0.540842 | − | 0.533991i | ||||
\(890\) | −4.55755 | + | 17.0090i | −0.152769 | + | 0.570143i | ||||
\(891\) | −4.95802 | − | 18.5036i | −0.166100 | − | 0.619893i | ||||
\(892\) | 1.26949 | − | 0.340158i | 0.0425055 | − | 0.0113893i | ||||
\(893\) | 30.7669 | 1.02957 | ||||||||
\(894\) | −3.32658 | −0.111257 | ||||||||
\(895\) | −41.2312 | + | 11.0479i | −1.37821 | + | 0.369289i | ||||
\(896\) | −14.7987 | − | 26.0136i | −0.494390 | − | 0.869054i | ||||
\(897\) | −10.1159 | + | 8.27932i | −0.337759 | + | 0.276439i | ||||
\(898\) | −5.81109 | − | 10.0651i | −0.193919 | − | 0.335877i | ||||
\(899\) | −32.3035 | − | 8.65571i | −1.07738 | − | 0.288684i | ||||
\(900\) | −20.8395 | − | 36.0951i | −0.694650 | − | 1.20317i | ||||
\(901\) | −1.99543 | + | 3.45619i | −0.0664775 | + | 0.115142i | ||||
\(902\) | 3.45791 | − | 3.45791i | 0.115136 | − | 0.115136i | ||||
\(903\) | −23.9233 | − | 24.2302i | −0.796116 | − | 0.806329i | ||||
\(904\) | 29.2265 | + | 7.83121i | 0.972058 | + | 0.260462i | ||||
\(905\) | −35.4717 | − | 9.50462i | −1.17912 | − | 0.315944i | ||||
\(906\) | 7.58013i | 0.251833i | ||||||||
\(907\) | −1.94216 | + | 1.12131i | −0.0644883 | + | 0.0372324i | −0.531897 | − | 0.846809i | \(-0.678521\pi\) |
0.467409 | + | 0.884041i | \(0.345187\pi\) | |||||||
\(908\) | 12.9008 | + | 12.9008i | 0.428130 | + | 0.428130i | ||||
\(909\) | 29.0529 | 0.963625 | ||||||||
\(910\) | 6.83487 | + | 15.3995i | 0.226574 | + | 0.510488i | ||||
\(911\) | −22.3252 | −0.739667 | −0.369834 | − | 0.929098i | \(-0.620585\pi\) | ||||
−0.369834 | + | 0.929098i | \(0.620585\pi\) | |||||||
\(912\) | −20.5981 | − | 20.5981i | −0.682071 | − | 0.682071i | ||||
\(913\) | −13.1325 | + | 7.58206i | −0.434623 | + | 0.250930i | ||||
\(914\) | 15.6769i | 0.518545i | ||||||||
\(915\) | 80.4928 | + | 21.5680i | 2.66101 | + | 0.713015i | ||||
\(916\) | −2.91852 | − | 0.782015i | −0.0964305 | − | 0.0258385i | ||||
\(917\) | −9.81754 | − | 37.5964i | −0.324204 | − | 1.24154i | ||||
\(918\) | −0.0175699 | + | 0.0175699i | −0.000579892 | + | 0.000579892i | ||||
\(919\) | 20.7445 | − | 35.9305i | 0.684297 | − | 1.18524i | −0.289361 | − | 0.957220i | \(-0.593443\pi\) |
0.973657 | − | 0.228017i | \(-0.0732240\pi\) | |||||||
\(920\) | −4.92074 | − | 8.52297i | −0.162232 | − | 0.280994i | ||||
\(921\) | −32.2609 | − | 8.64429i | −1.06303 | − | 0.284839i | ||||
\(922\) | 9.33881 | + | 16.1753i | 0.307557 | + | 0.532705i | ||||
\(923\) | 24.2277 | + | 2.41884i | 0.797463 | + | 0.0796170i | ||||
\(924\) | −24.0831 | − | 0.153497i | −0.792277 | − | 0.00504969i | ||||
\(925\) | −20.7595 | + | 5.56250i | −0.682569 | + | 0.182894i | ||||
\(926\) | 6.32684 | 0.207913 | ||||||||
\(927\) | −36.8781 | −1.21123 | ||||||||
\(928\) | 26.4949 | − | 7.09929i | 0.869738 | − | 0.233046i | ||||
\(929\) | −12.8455 | − | 47.9399i | −0.421446 | − | 1.57286i | −0.771563 | − | 0.636152i | \(-0.780525\pi\) |
0.350117 | − | 0.936706i | \(-0.386142\pi\) | |||||||
\(930\) | −6.77842 | + | 25.2974i | −0.222273 | + | 0.829534i | ||||
\(931\) | −8.65236 | + | 30.7193i | −0.283570 | + | 1.00678i | ||||
\(932\) | −7.30938 | − | 12.6602i | −0.239427 | − | 0.414699i | ||||
\(933\) | − | 40.5693i | − | 1.32818i | ||||||
\(934\) | 2.26658 | − | 8.45898i | 0.0741647 | − | 0.276786i | ||||
\(935\) | 7.54379 | + | 4.35541i | 0.246708 | + | 0.142437i | ||||
\(936\) | −18.0811 | + | 8.16339i | −0.590999 | + | 0.266829i | ||||
\(937\) | 47.8712i | 1.56388i | 0.623352 | + | 0.781942i | \(0.285771\pi\) | ||||
−0.623352 | + | 0.781942i | \(0.714229\pi\) | |||||||
\(938\) | 2.52698 | + | 9.67711i | 0.0825088 | + | 0.315969i | ||||
\(939\) | 11.3850 | − | 19.7195i | 0.371537 | − | 0.643521i | ||||
\(940\) | −36.9886 | − | 21.3554i | −1.20644 | − | 0.696536i | ||||
\(941\) | 1.97050 | + | 7.35402i | 0.0642366 | + | 0.239734i | 0.990578 | − | 0.136951i | \(-0.0437304\pi\) |
−0.926341 | + | 0.376686i | \(0.877064\pi\) | |||||||
\(942\) | −1.62049 | − | 1.62049i | −0.0527984 | − | 0.0527984i | ||||
\(943\) | −6.74192 | + | 1.80649i | −0.219547 | + | 0.0588275i | ||||
\(944\) | 21.1115 | + | 21.1115i | 0.687122 | + | 0.687122i | ||||
\(945\) | 0.363360 | + | 0.212885i | 0.0118201 | + | 0.00692516i | ||||
\(946\) | −4.73284 | − | 2.73251i | −0.153878 | − | 0.0888414i | ||||
\(947\) | −5.00535 | + | 5.00535i | −0.162652 | + | 0.162652i | −0.783740 | − | 0.621088i | \(-0.786691\pi\) |
0.621088 | + | 0.783740i | \(0.286691\pi\) | |||||||
\(948\) | −25.4333 | + | 44.0518i | −0.826036 | + | 1.43074i | ||||
\(949\) | 8.40117 | + | 18.6077i | 0.272714 | + | 0.604033i | ||||
\(950\) | −15.4003 | + | 8.89138i | −0.499653 | + | 0.288475i | ||||
\(951\) | 20.9797 | + | 78.2974i | 0.680314 | + | 2.53897i | ||||
\(952\) | 2.76216 | + | 4.85541i | 0.0895222 | + | 0.157365i | ||||
\(953\) | 41.2624 | − | 23.8229i | 1.33662 | − | 0.771698i | 0.350316 | − | 0.936632i | \(-0.386074\pi\) |
0.986305 | + | 0.164933i | \(0.0527408\pi\) | |||||||
\(954\) | 1.32131 | − | 4.93120i | 0.0427790 | − | 0.159653i | ||||
\(955\) | −15.1926 | + | 15.1926i | −0.491622 | + | 0.491622i | ||||
\(956\) | 9.04113 | − | 9.04113i | 0.292411 | − | 0.292411i | ||||
\(957\) | 7.38782 | − | 27.5717i | 0.238814 | − | 0.891267i | ||||
\(958\) | −3.90727 | + | 2.25586i | −0.126238 | + | 0.0728836i | ||||
\(959\) | −2.97675 | − | 5.23262i | −0.0961242 | − | 0.168970i | ||||
\(960\) | 6.34036 | + | 23.6626i | 0.204634 | + | 0.763706i | ||||
\(961\) | −4.98732 | + | 2.87943i | −0.160881 | + | 0.0928848i | ||||
\(962\) | 0.773487 | + | 4.72412i | 0.0249382 | + | 0.152312i | ||||
\(963\) | −12.2067 | + | 21.1427i | −0.393356 | + | 0.681313i | ||||
\(964\) | 9.64000 | − | 9.64000i | 0.310484 | − | 0.310484i | ||||
\(965\) | −3.12726 | − | 1.80552i | −0.100670 | − | 0.0581218i | ||||
\(966\) | −4.06261 | − | 2.38020i | −0.130712 | − | 0.0765818i | ||||
\(967\) | 31.2419 | + | 31.2419i | 1.00467 | + | 1.00467i | 0.999989 | + | 0.00468303i | \(0.00149066\pi\) |
0.00468303 | + | 0.999989i | \(0.498509\pi\) | |||||||
\(968\) | 11.6268 | − | 3.11539i | 0.373699 | − | 0.100132i | ||||
\(969\) | 9.02221 | + | 9.02221i | 0.289835 | + | 0.289835i | ||||
\(970\) | −6.23093 | − | 23.2542i | −0.200063 | − | 0.746646i | ||||
\(971\) | −6.43644 | − | 3.71608i | −0.206555 | − | 0.119255i | 0.393154 | − | 0.919473i | \(-0.371384\pi\) |
−0.599709 | + | 0.800218i | \(0.704717\pi\) | |||||||
\(972\) | −19.3595 | + | 33.5317i | −0.620957 | + | 1.07553i | ||||
\(973\) | 3.26688 | + | 12.5106i | 0.104731 | + | 0.401070i | ||||
\(974\) | − | 5.43090i | − | 0.174017i | ||||||
\(975\) | −11.3220 | − | 69.1499i | −0.362594 | − | 2.21457i | ||||
\(976\) | −21.4234 | − | 12.3688i | −0.685746 | − | 0.395916i | ||||
\(977\) | 9.90514 | − | 36.9665i | 0.316893 | − | 1.18266i | −0.605320 | − | 0.795982i | \(-0.706955\pi\) |
0.922214 | − | 0.386680i | \(-0.126378\pi\) | |||||||
\(978\) | 7.41125i | 0.236986i | ||||||||
\(979\) | −10.5475 | − | 18.2688i | −0.337099 | − | 0.583873i | ||||
\(980\) | 31.7244 | − | 30.9258i | 1.01340 | − | 0.987887i | ||||
\(981\) | −2.29972 | + | 8.58268i | −0.0734245 | + | 0.274024i | ||||
\(982\) | −0.360194 | − | 1.34426i | −0.0114943 | − | 0.0428972i | ||||
\(983\) | 24.8597 | − | 6.66114i | 0.792902 | − | 0.212458i | 0.160437 | − | 0.987046i | \(-0.448710\pi\) |
0.632465 | + | 0.774589i | \(0.282043\pi\) | |||||||
\(984\) | −21.2496 | −0.677414 | ||||||||
\(985\) | 15.2210 | 0.484982 | ||||||||
\(986\) | −2.99262 | + | 0.801870i | −0.0953044 | + | 0.0255367i | ||||
\(987\) | −43.6670 | − | 0.278318i | −1.38994 | − | 0.00885895i | ||||
\(988\) | −11.8988 | − | 26.3545i | −0.378550 | − | 0.838449i | ||||
\(989\) | 3.90007 | + | 6.75513i | 0.124015 | + | 0.214801i | ||||
\(990\) | −10.7633 | − | 2.88401i | −0.342079 | − | 0.0916599i | ||||
\(991\) | 23.4047 | + | 40.5381i | 0.743474 | + | 1.28774i | 0.950904 | + | 0.309485i | \(0.100157\pi\) |
−0.207430 | + | 0.978250i | \(0.566510\pi\) | |||||||
\(992\) | 15.0745 | − | 26.1099i | 0.478617 | − | 0.828989i | ||||
\(993\) | −40.7238 | + | 40.7238i | −1.29233 | + | 1.29233i | ||||
\(994\) | 2.21584 | + | 8.48561i | 0.0702823 | + | 0.269147i | ||||
\(995\) | 52.3197 | + | 14.0190i | 1.65865 | + | 0.444433i | ||||
\(996\) | 29.7841 | + | 7.98062i | 0.943745 | + | 0.252876i | ||||
\(997\) | 28.2264i | 0.893939i | 0.894549 | + | 0.446969i | \(0.147497\pi\) | ||||
−0.894549 | + | 0.446969i | \(0.852503\pi\) | |||||||
\(998\) | 16.3055 | − | 9.41398i | 0.516141 | − | 0.297994i | ||||
\(999\) | 0.0846088 | + | 0.0846088i | 0.00267690 | + | 0.00267690i |
(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 | 91.2.ba.a.59.4 | yes | 28 | |
3.2 | odd | 2 | 819.2.et.b.514.4 | 28 | |||
7.2 | even | 3 | 637.2.x.a.215.4 | 28 | |||
7.3 | odd | 6 | 637.2.bd.a.293.4 | 28 | |||
7.4 | even | 3 | 637.2.bd.b.293.4 | 28 | |||
7.5 | odd | 6 | 91.2.w.a.33.4 | ✓ | 28 | ||
7.6 | odd | 2 | 637.2.bb.a.423.4 | 28 | |||
13.2 | odd | 12 | 91.2.w.a.80.4 | yes | 28 | ||
21.5 | even | 6 | 819.2.gh.b.397.4 | 28 | |||
39.2 | even | 12 | 819.2.gh.b.262.4 | 28 | |||
91.2 | odd | 12 | 637.2.bb.a.509.4 | 28 | |||
91.41 | even | 12 | 637.2.x.a.80.4 | 28 | |||
91.54 | even | 12 | inner | 91.2.ba.a.54.4 | yes | 28 | |
91.67 | odd | 12 | 637.2.bd.a.587.4 | 28 | |||
91.80 | even | 12 | 637.2.bd.b.587.4 | 28 | |||
273.236 | odd | 12 | 819.2.et.b.145.4 | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.w.a.33.4 | ✓ | 28 | 7.5 | odd | 6 | ||
91.2.w.a.80.4 | yes | 28 | 13.2 | odd | 12 | ||
91.2.ba.a.54.4 | yes | 28 | 91.54 | even | 12 | inner | |
91.2.ba.a.59.4 | yes | 28 | 1.1 | even | 1 | trivial | |
637.2.x.a.80.4 | 28 | 91.41 | even | 12 | |||
637.2.x.a.215.4 | 28 | 7.2 | even | 3 | |||
637.2.bb.a.423.4 | 28 | 7.6 | odd | 2 | |||
637.2.bb.a.509.4 | 28 | 91.2 | odd | 12 | |||
637.2.bd.a.293.4 | 28 | 7.3 | odd | 6 | |||
637.2.bd.a.587.4 | 28 | 91.67 | odd | 12 | |||
637.2.bd.b.293.4 | 28 | 7.4 | even | 3 | |||
637.2.bd.b.587.4 | 28 | 91.80 | even | 12 | |||
819.2.et.b.145.4 | 28 | 273.236 | odd | 12 | |||
819.2.et.b.514.4 | 28 | 3.2 | odd | 2 | |||
819.2.gh.b.262.4 | 28 | 39.2 | even | 12 | |||
819.2.gh.b.397.4 | 28 | 21.5 | even | 6 |