Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [450,2,Mod(31,450)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(450, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("450.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 450 = 2 \cdot 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 450.q (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.59326809096\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(15\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 331.6 | ||
Character | \(\chi\) | \(=\) | 450.331 |
Dual form | 450.2.q.c.121.6 |
$q$-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 \(\left(\mathbb{Z}/450\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.978148 | + | 0.207912i | 0.691655 | + | 0.147016i | ||||
\(3\) | −0.893432 | + | 1.48384i | −0.515823 | + | 0.856695i | ||||
\(4\) | 0.913545 | + | 0.406737i | 0.456773 | + | 0.203368i | ||||
\(5\) | −2.22939 | + | 0.172643i | −0.997015 | + | 0.0772081i | ||||
\(6\) | −1.18242 | + | 1.26566i | −0.482719 | + | 0.516703i | ||||
\(7\) | −1.15080 | + | 1.99324i | −0.434961 | + | 0.753375i | −0.997292 | − | 0.0735371i | \(-0.976571\pi\) |
0.562331 | + | 0.826912i | \(0.309905\pi\) | |||||||
\(8\) | 0.809017 | + | 0.587785i | 0.286031 | + | 0.207813i | ||||
\(9\) | −1.40356 | − | 2.65142i | −0.467853 | − | 0.883806i | ||||
\(10\) | −2.21657 | − | 0.294647i | −0.700941 | − | 0.0931755i | ||||
\(11\) | −3.46535 | − | 0.736584i | −1.04484 | − | 0.222088i | −0.346648 | − | 0.937995i | \(-0.612680\pi\) |
−0.698196 | + | 0.715907i | \(0.746013\pi\) | |||||||
\(12\) | −1.41972 | + | 0.992164i | −0.409839 | + | 0.286413i | ||||
\(13\) | −0.869609 | + | 0.184841i | −0.241186 | + | 0.0512657i | −0.326919 | − | 0.945053i | \(-0.606010\pi\) |
0.0857325 | + | 0.996318i | \(0.472677\pi\) | |||||||
\(14\) | −1.54007 | + | 1.71042i | −0.411601 | + | 0.457129i | ||||
\(15\) | 1.73564 | − | 3.46231i | 0.448139 | − | 0.893964i | ||||
\(16\) | 0.669131 | + | 0.743145i | 0.167283 | + | 0.185786i | ||||
\(17\) | 0.116096 | + | 0.0843484i | 0.0281573 | + | 0.0204575i | 0.601775 | − | 0.798666i | \(-0.294460\pi\) |
−0.573618 | + | 0.819123i | \(0.694460\pi\) | |||||||
\(18\) | −0.821628 | − | 2.88530i | −0.193660 | − | 0.680071i | ||||
\(19\) | −0.606848 | − | 0.440901i | −0.139220 | − | 0.101150i | 0.515995 | − | 0.856591i | \(-0.327422\pi\) |
−0.655216 | + | 0.755442i | \(0.727422\pi\) | |||||||
\(20\) | −2.10687 | − | 0.749059i | −0.471111 | − | 0.167495i | ||||
\(21\) | −1.92949 | − | 3.48843i | −0.421050 | − | 0.761237i | ||||
\(22\) | −3.23648 | − | 1.44097i | −0.690020 | − | 0.307217i | ||||
\(23\) | −4.28489 | + | 4.75885i | −0.893461 | + | 0.992289i | −0.999998 | − | 0.00201952i | \(-0.999357\pi\) |
0.106537 | + | 0.994309i | \(0.466024\pi\) | |||||||
\(24\) | −1.59498 | + | 0.675305i | −0.325574 | + | 0.137846i | ||||
\(25\) | 4.94039 | − | 0.769777i | 0.988078 | − | 0.153955i | ||||
\(26\) | −0.889036 | −0.174354 | ||||||||
\(27\) | 5.18826 | + | 0.286204i | 0.998482 | + | 0.0550799i | ||||
\(28\) | −1.86203 | + | 1.35285i | −0.351891 | + | 0.255664i | ||||
\(29\) | −0.492657 | − | 4.68731i | −0.0914840 | − | 0.870412i | −0.939984 | − | 0.341217i | \(-0.889161\pi\) |
0.848500 | − | 0.529195i | \(-0.177506\pi\) | |||||||
\(30\) | 2.41756 | − | 3.02579i | 0.441385 | − | 0.552431i | ||||
\(31\) | −0.751219 | + | 7.14737i | −0.134923 | + | 1.28371i | 0.692209 | + | 0.721697i | \(0.256638\pi\) |
−0.827132 | + | 0.562008i | \(0.810029\pi\) | |||||||
\(32\) | 0.500000 | + | 0.866025i | 0.0883883 | + | 0.153093i | ||||
\(33\) | 4.18903 | − | 4.48394i | 0.729216 | − | 0.780554i | ||||
\(34\) | 0.0960217 | + | 0.106643i | 0.0164676 | + | 0.0182891i | ||||
\(35\) | 2.22147 | − | 4.64240i | 0.375496 | − | 0.784709i | ||||
\(36\) | −0.203787 | − | 2.99307i | −0.0339644 | − | 0.498845i | ||||
\(37\) | −2.95432 | + | 9.09245i | −0.485687 | + | 1.49479i | 0.345297 | + | 0.938493i | \(0.387778\pi\) |
−0.830984 | + | 0.556297i | \(0.812222\pi\) | |||||||
\(38\) | −0.501918 | − | 0.557437i | −0.0814219 | − | 0.0904282i | ||||
\(39\) | 0.502662 | − | 1.45550i | 0.0804903 | − | 0.233067i | ||||
\(40\) | −1.90509 | − | 1.17073i | −0.301222 | − | 0.185109i | ||||
\(41\) | −7.03192 | + | 1.49468i | −1.09820 | + | 0.233430i | −0.721161 | − | 0.692767i | \(-0.756391\pi\) |
−0.377040 | + | 0.926197i | \(0.623058\pi\) | |||||||
\(42\) | −1.16204 | − | 3.81336i | −0.179307 | − | 0.588414i | ||||
\(43\) | 3.11939 | − | 5.40294i | 0.475702 | − | 0.823940i | −0.523911 | − | 0.851773i | \(-0.675527\pi\) |
0.999613 | + | 0.0278332i | \(0.00886072\pi\) | |||||||
\(44\) | −2.86616 | − | 2.08239i | −0.432090 | − | 0.313932i | ||||
\(45\) | 3.58683 | + | 5.66874i | 0.534694 | + | 0.845046i | ||||
\(46\) | −5.18068 | + | 3.76398i | −0.763849 | + | 0.554969i | ||||
\(47\) | 1.09544 | + | 10.4224i | 0.159786 | + | 1.52026i | 0.721199 | + | 0.692728i | \(0.243591\pi\) |
−0.561413 | + | 0.827536i | \(0.689742\pi\) | |||||||
\(48\) | −1.70053 | + | 0.328933i | −0.245450 | + | 0.0474774i | ||||
\(49\) | 0.851322 | + | 1.47453i | 0.121617 | + | 0.210648i | ||||
\(50\) | 4.99248 | + | 0.274209i | 0.706043 | + | 0.0387791i | ||||
\(51\) | −0.228883 | + | 0.0969078i | −0.0320500 | + | 0.0135698i | ||||
\(52\) | −0.869609 | − | 0.184841i | −0.120593 | − | 0.0256328i | ||||
\(53\) | 10.8364 | − | 7.87309i | 1.48849 | − | 1.08145i | 0.513797 | − | 0.857912i | \(-0.328238\pi\) |
0.974695 | − | 0.223541i | \(-0.0717615\pi\) | |||||||
\(54\) | 5.01538 | + | 1.35865i | 0.682507 | + | 0.184889i | ||||
\(55\) | 7.85280 | + | 1.04387i | 1.05887 | + | 0.140755i | ||||
\(56\) | −2.10261 | + | 0.936144i | −0.280974 | + | 0.125098i | ||||
\(57\) | 1.19640 | − | 0.506550i | 0.158467 | − | 0.0670942i | ||||
\(58\) | 0.492657 | − | 4.68731i | 0.0646890 | − | 0.615474i | ||||
\(59\) | −5.04821 | + | 1.07303i | −0.657221 | + | 0.139697i | −0.524438 | − | 0.851449i | \(-0.675725\pi\) |
−0.132783 | + | 0.991145i | \(0.542391\pi\) | |||||||
\(60\) | 2.99383 | − | 2.45703i | 0.386502 | − | 0.317201i | ||||
\(61\) | 3.90745 | + | 0.830555i | 0.500298 | + | 0.106342i | 0.451147 | − | 0.892450i | \(-0.351015\pi\) |
0.0491511 | + | 0.998791i | \(0.484348\pi\) | |||||||
\(62\) | −2.22083 | + | 6.83500i | −0.282045 | + | 0.868045i | ||||
\(63\) | 6.90014 | + | 0.253615i | 0.869335 | + | 0.0319525i | ||||
\(64\) | 0.309017 | + | 0.951057i | 0.0386271 | + | 0.118882i | ||||
\(65\) | 1.90679 | − | 0.562215i | 0.236508 | − | 0.0697342i | ||||
\(66\) | 5.02975 | − | 3.51501i | 0.619120 | − | 0.432668i | ||||
\(67\) | −0.282276 | + | 2.68568i | −0.0344855 | + | 0.328108i | 0.963655 | + | 0.267150i | \(0.0860820\pi\) |
−0.998140 | + | 0.0609573i | \(0.980585\pi\) | |||||||
\(68\) | 0.0717511 | + | 0.124277i | 0.00870110 | + | 0.0150707i | ||||
\(69\) | −3.23312 | − | 10.6098i | −0.389222 | − | 1.27727i | ||||
\(70\) | 3.13813 | − | 4.07908i | 0.375078 | − | 0.487544i | ||||
\(71\) | 1.77752 | − | 1.29144i | 0.210952 | − | 0.153266i | −0.477292 | − | 0.878745i | \(-0.658382\pi\) |
0.688244 | + | 0.725479i | \(0.258382\pi\) | |||||||
\(72\) | 0.422961 | − | 2.97003i | 0.0498464 | − | 0.350022i | ||||
\(73\) | −1.47640 | − | 4.54388i | −0.172799 | − | 0.531821i | 0.826727 | − | 0.562603i | \(-0.190200\pi\) |
−0.999526 | + | 0.0307823i | \(0.990200\pi\) | |||||||
\(74\) | −4.78019 | + | 8.27952i | −0.555685 | + | 0.962475i | ||||
\(75\) | −3.27167 | + | 8.01849i | −0.377780 | + | 0.925895i | ||||
\(76\) | −0.375053 | − | 0.649610i | −0.0430215 | − | 0.0745154i | ||||
\(77\) | 5.45612 | − | 6.05963i | 0.621782 | − | 0.690559i | ||||
\(78\) | 0.794293 | − | 1.31919i | 0.0899360 | − | 0.149369i | ||||
\(79\) | 0.860832 | + | 8.19027i | 0.0968512 | + | 0.921478i | 0.929785 | + | 0.368104i | \(0.119993\pi\) |
−0.832933 | + | 0.553373i | \(0.813340\pi\) | |||||||
\(80\) | −1.62005 | − | 1.54124i | −0.181128 | − | 0.172316i | ||||
\(81\) | −5.06004 | + | 7.44285i | −0.562227 | + | 0.826983i | ||||
\(82\) | −7.18902 | −0.793894 | ||||||||
\(83\) | −0.543418 | + | 0.241945i | −0.0596479 | + | 0.0265569i | −0.436344 | − | 0.899780i | \(-0.643727\pi\) |
0.376696 | + | 0.926337i | \(0.377060\pi\) | |||||||
\(84\) | −0.343807 | − | 3.97163i | −0.0375125 | − | 0.433341i | ||||
\(85\) | −0.273385 | − | 0.168003i | −0.0296528 | − | 0.0182225i | ||||
\(86\) | 4.17455 | − | 4.63631i | 0.450154 | − | 0.499946i | ||||
\(87\) | 7.39538 | + | 3.45677i | 0.792868 | + | 0.370605i | ||||
\(88\) | −2.37058 | − | 2.63279i | −0.252704 | − | 0.280657i | ||||
\(89\) | −1.05446 | − | 3.24530i | −0.111773 | − | 0.344001i | 0.879487 | − | 0.475922i | \(-0.157886\pi\) |
−0.991260 | + | 0.131921i | \(0.957886\pi\) | |||||||
\(90\) | 2.32986 | + | 6.29061i | 0.245588 | + | 0.663088i | ||||
\(91\) | 0.632312 | − | 1.94606i | 0.0662843 | − | 0.204002i | ||||
\(92\) | −5.85004 | + | 2.60461i | −0.609909 | + | 0.271549i | ||||
\(93\) | −9.93439 | − | 7.50038i | −1.03015 | − | 0.777753i | ||||
\(94\) | −1.09544 | + | 10.4224i | −0.112986 | + | 1.07499i | ||||
\(95\) | 1.42902 | + | 0.878173i | 0.146614 | + | 0.0900987i | ||||
\(96\) | −1.73176 | − | 0.0318147i | −0.176747 | − | 0.00324708i | ||||
\(97\) | 1.68007 | + | 15.9848i | 0.170585 | + | 1.62301i | 0.660215 | + | 0.751077i | \(0.270465\pi\) |
−0.489630 | + | 0.871931i | \(0.662868\pi\) | |||||||
\(98\) | 0.526146 | + | 1.61931i | 0.0531488 | + | 0.163575i | ||||
\(99\) | 2.91084 | + | 10.2219i | 0.292550 | + | 1.02734i | ||||
\(100\) | 4.82637 | + | 1.30621i | 0.482637 | + | 0.130621i | ||||
\(101\) | −0.735105 | + | 1.27324i | −0.0731457 | + | 0.126692i | −0.900278 | − | 0.435315i | \(-0.856637\pi\) |
0.827133 | + | 0.562007i | \(0.189970\pi\) | |||||||
\(102\) | −0.244030 | + | 0.0472026i | −0.0241625 | + | 0.00467376i | ||||
\(103\) | 9.35861 | + | 4.16672i | 0.922131 | + | 0.410559i | 0.812200 | − | 0.583380i | \(-0.198270\pi\) |
0.109932 | + | 0.993939i | \(0.464937\pi\) | |||||||
\(104\) | −0.812175 | − | 0.361604i | −0.0796403 | − | 0.0354582i | ||||
\(105\) | 4.90385 | + | 7.44396i | 0.478567 | + | 0.726457i | ||||
\(106\) | 12.2365 | − | 5.44804i | 1.18851 | − | 0.529160i | ||||
\(107\) | 13.6869 | 1.32316 | 0.661579 | − | 0.749876i | \(-0.269887\pi\) | ||||
0.661579 | + | 0.749876i | \(0.269887\pi\) | |||||||
\(108\) | 4.62331 | + | 2.37172i | 0.444878 | + | 0.228219i | ||||
\(109\) | 4.02681 | − | 12.3932i | 0.385698 | − | 1.18706i | −0.550275 | − | 0.834984i | \(-0.685477\pi\) |
0.935973 | − | 0.352073i | \(-0.114523\pi\) | |||||||
\(110\) | 7.46417 | + | 2.65374i | 0.711680 | + | 0.253025i | ||||
\(111\) | −10.8523 | − | 12.5072i | −1.03005 | − | 1.18713i | ||||
\(112\) | −2.25130 | + | 0.478529i | −0.212728 | + | 0.0452168i | ||||
\(113\) | −16.7556 | + | 3.56151i | −1.57623 | + | 0.335038i | −0.911260 | − | 0.411831i | \(-0.864889\pi\) |
−0.664971 | + | 0.746869i | \(0.731556\pi\) | |||||||
\(114\) | 1.27558 | − | 0.246735i | 0.119469 | − | 0.0231088i | ||||
\(115\) | 8.73112 | − | 11.3491i | 0.814181 | − | 1.05831i | ||||
\(116\) | 1.45644 | − | 4.48246i | 0.135227 | − | 0.416186i | ||||
\(117\) | 1.71064 | + | 2.04626i | 0.158149 | + | 0.189177i | ||||
\(118\) | −5.16099 | −0.475108 | ||||||||
\(119\) | −0.301730 | + | 0.134339i | −0.0276595 | + | 0.0123148i | ||||
\(120\) | 3.43925 | − | 1.78088i | 0.313959 | − | 0.162572i | ||||
\(121\) | 1.41712 | + | 0.630941i | 0.128829 | + | 0.0573583i | ||||
\(122\) | 3.64938 | + | 1.62481i | 0.330400 | + | 0.147103i | ||||
\(123\) | 4.06467 | − | 11.7696i | 0.366499 | − | 1.06123i | ||||
\(124\) | −3.59337 | + | 6.22390i | −0.322694 | + | 0.558923i | ||||
\(125\) | −10.8812 | + | 2.56906i | −0.973242 | + | 0.229783i | ||||
\(126\) | 6.69662 | + | 1.68269i | 0.596582 | + | 0.149906i | ||||
\(127\) | −1.01693 | − | 3.12979i | −0.0902378 | − | 0.277724i | 0.895746 | − | 0.444567i | \(-0.146642\pi\) |
−0.985983 | + | 0.166844i | \(0.946642\pi\) | |||||||
\(128\) | 0.104528 | + | 0.994522i | 0.00923910 | + | 0.0879041i | ||||
\(129\) | 5.23013 | + | 9.45582i | 0.460487 | + | 0.832539i | ||||
\(130\) | 1.98201 | − | 0.153486i | 0.173834 | − | 0.0134616i | ||||
\(131\) | −0.750726 | + | 7.14268i | −0.0655912 | + | 0.624059i | 0.911509 | + | 0.411280i | \(0.134918\pi\) |
−0.977100 | + | 0.212779i | \(0.931749\pi\) | |||||||
\(132\) | 5.65065 | − | 2.39245i | 0.491826 | − | 0.208236i | ||||
\(133\) | 1.57718 | − | 0.702207i | 0.136759 | − | 0.0608890i | ||||
\(134\) | −0.834491 | + | 2.56830i | −0.0720891 | + | 0.221867i | ||||
\(135\) | −11.6161 | + | 0.257655i | −0.999754 | + | 0.0221754i | ||||
\(136\) | 0.0443446 | + | 0.136479i | 0.00380252 | + | 0.0117029i | ||||
\(137\) | −7.99150 | − | 8.87546i | −0.682760 | − | 0.758282i | 0.297773 | − | 0.954637i | \(-0.403756\pi\) |
−0.980533 | + | 0.196355i | \(0.937090\pi\) | |||||||
\(138\) | −0.956565 | − | 11.0502i | −0.0814282 | − | 0.940651i | ||||
\(139\) | 7.37639 | − | 8.19232i | 0.625658 | − | 0.694863i | −0.344100 | − | 0.938933i | \(-0.611816\pi\) |
0.969758 | + | 0.244070i | \(0.0784826\pi\) | |||||||
\(140\) | 3.91764 | − | 3.33749i | 0.331101 | − | 0.282069i | ||||
\(141\) | −16.4439 | − | 7.68625i | −1.38482 | − | 0.647299i | ||||
\(142\) | 2.00718 | − | 0.893653i | 0.168439 | − | 0.0749937i | ||||
\(143\) | 3.14965 | 0.263387 | ||||||||
\(144\) | 1.03122 | − | 2.81719i | 0.0859353 | − | 0.234766i | ||||
\(145\) | 1.90756 | + | 10.3648i | 0.158414 | + | 0.860751i | ||||
\(146\) | −0.499408 | − | 4.75155i | −0.0413313 | − | 0.393241i | ||||
\(147\) | −2.94857 | − | 0.0541692i | −0.243194 | − | 0.00446780i | ||||
\(148\) | −6.39714 | + | 7.10474i | −0.525841 | + | 0.584006i | ||||
\(149\) | −11.9726 | − | 20.7371i | −0.980832 | − | 1.69885i | −0.659167 | − | 0.751997i | \(-0.729091\pi\) |
−0.321665 | − | 0.946854i | \(-0.604242\pi\) | |||||||
\(150\) | −4.86732 | + | 7.16304i | −0.397415 | + | 0.584860i | ||||
\(151\) | 7.15112 | − | 12.3861i | 0.581950 | − | 1.00797i | −0.413298 | − | 0.910596i | \(-0.635623\pi\) |
0.995248 | − | 0.0973711i | \(-0.0310434\pi\) | |||||||
\(152\) | −0.231795 | − | 0.713392i | −0.0188011 | − | 0.0578638i | ||||
\(153\) | 0.0606958 | − | 0.426206i | 0.00490697 | − | 0.0344567i | ||||
\(154\) | 6.59675 | − | 4.79282i | 0.531582 | − | 0.386217i | ||||
\(155\) | 0.440822 | − | 16.0640i | 0.0354076 | − | 1.29029i | ||||
\(156\) | 1.05121 | − | 1.12522i | 0.0841642 | − | 0.0900895i | ||||
\(157\) | 7.33368 | + | 12.7023i | 0.585292 | + | 1.01376i | 0.994839 | + | 0.101466i | \(0.0323533\pi\) |
−0.409547 | + | 0.912289i | \(0.634313\pi\) | |||||||
\(158\) | −0.860832 | + | 8.19027i | −0.0684841 | + | 0.651583i | ||||
\(159\) | 2.00084 | + | 23.1135i | 0.158677 | + | 1.83302i | ||||
\(160\) | −1.26421 | − | 1.84439i | −0.0999445 | − | 0.145812i | ||||
\(161\) | −4.55450 | − | 14.0173i | −0.358945 | − | 1.10472i | ||||
\(162\) | −6.49692 | + | 6.22816i | −0.510446 | + | 0.489331i | ||||
\(163\) | 1.05549 | − | 3.24847i | 0.0826726 | − | 0.254440i | −0.901173 | − | 0.433460i | \(-0.857293\pi\) |
0.983845 | + | 0.179020i | \(0.0572926\pi\) | |||||||
\(164\) | −7.03192 | − | 1.49468i | −0.549101 | − | 0.116715i | ||||
\(165\) | −8.56487 | + | 10.7197i | −0.666774 | + | 0.834525i | ||||
\(166\) | −0.581846 | + | 0.123675i | −0.0451600 | + | 0.00959906i | ||||
\(167\) | 1.17503 | − | 11.1797i | 0.0909267 | − | 0.865110i | −0.850064 | − | 0.526679i | \(-0.823437\pi\) |
0.940991 | − | 0.338431i | \(-0.109896\pi\) | |||||||
\(168\) | 0.489454 | − | 3.95632i | 0.0377622 | − | 0.305237i | ||||
\(169\) | −11.1540 | + | 4.96610i | −0.858003 | + | 0.382007i | ||||
\(170\) | −0.232481 | − | 0.221171i | −0.0178305 | − | 0.0169631i | ||||
\(171\) | −0.317265 | + | 2.22784i | −0.0242619 | + | 0.170367i | ||||
\(172\) | 5.04727 | − | 3.66706i | 0.384851 | − | 0.279611i | ||||
\(173\) | −1.65590 | − | 0.351973i | −0.125896 | − | 0.0267600i | 0.144533 | − | 0.989500i | \(-0.453832\pi\) |
−0.270429 | + | 0.962740i | \(0.587165\pi\) | |||||||
\(174\) | 6.51507 | + | 4.91882i | 0.493906 | + | 0.372895i | ||||
\(175\) | −4.15104 | + | 10.7333i | −0.313789 | + | 0.811358i | ||||
\(176\) | −1.77139 | − | 3.06813i | −0.133523 | − | 0.231269i | ||||
\(177\) | 2.91803 | − | 8.44941i | 0.219332 | − | 0.635097i | ||||
\(178\) | −0.356684 | − | 3.39362i | −0.0267346 | − | 0.254363i | ||||
\(179\) | −20.1768 | + | 14.6593i | −1.50808 | + | 1.09569i | −0.541066 | + | 0.840980i | \(0.681979\pi\) |
−0.967018 | + | 0.254707i | \(0.918021\pi\) | |||||||
\(180\) | 0.971052 | + | 6.63755i | 0.0723779 | + | 0.494734i | ||||
\(181\) | 3.26734 | + | 2.37386i | 0.242860 | + | 0.176448i | 0.702556 | − | 0.711628i | \(-0.252042\pi\) |
−0.459697 | + | 0.888076i | \(0.652042\pi\) | |||||||
\(182\) | 1.02310 | − | 1.77207i | 0.0758374 | − | 0.131354i | ||||
\(183\) | −4.72345 | + | 5.05599i | −0.349168 | + | 0.373749i | ||||
\(184\) | −6.26373 | + | 1.33140i | −0.461768 | + | 0.0981519i | ||||
\(185\) | 5.01659 | − | 20.7807i | 0.368827 | − | 1.52783i | ||||
\(186\) | −8.15788 | − | 9.40195i | −0.598165 | − | 0.689384i | ||||
\(187\) | −0.340183 | − | 0.377811i | −0.0248766 | − | 0.0276283i | ||||
\(188\) | −3.23844 | + | 9.96689i | −0.236187 | + | 0.726910i | ||||
\(189\) | −6.54112 | + | 10.0121i | −0.475797 | + | 0.728274i | ||||
\(190\) | 1.21521 | + | 1.15609i | 0.0881607 | + | 0.0838718i | ||||
\(191\) | 10.5467 | + | 11.7133i | 0.763136 | + | 0.847548i | 0.992043 | − | 0.125900i | \(-0.0401819\pi\) |
−0.228907 | + | 0.973448i | \(0.573515\pi\) | |||||||
\(192\) | −1.68730 | − | 0.391172i | −0.121770 | − | 0.0282304i | ||||
\(193\) | −12.0957 | − | 20.9504i | −0.870668 | − | 1.50804i | −0.861307 | − | 0.508085i | \(-0.830353\pi\) |
−0.00936136 | − | 0.999956i | \(-0.502980\pi\) | |||||||
\(194\) | −1.68007 | + | 15.9848i | −0.120622 | + | 1.14764i | ||||
\(195\) | −0.869349 | + | 3.33167i | −0.0622553 | + | 0.238586i | ||||
\(196\) | 0.177975 | + | 1.69332i | 0.0127125 | + | 0.120951i | ||||
\(197\) | −0.605381 | + | 0.439835i | −0.0431316 | + | 0.0313369i | −0.609142 | − | 0.793061i | \(-0.708486\pi\) |
0.566011 | + | 0.824398i | \(0.308486\pi\) | |||||||
\(198\) | 0.721969 | + | 10.6038i | 0.0513081 | + | 0.753577i | ||||
\(199\) | −9.16144 | −0.649437 | −0.324719 | − | 0.945811i | \(-0.605270\pi\) | ||||
−0.324719 | + | 0.945811i | \(0.605270\pi\) | |||||||
\(200\) | 4.44932 | + | 2.28113i | 0.314615 | + | 0.161300i | ||||
\(201\) | −3.73292 | − | 2.81832i | −0.263300 | − | 0.198789i | ||||
\(202\) | −0.983763 | + | 1.09258i | −0.0692173 | + | 0.0768736i | ||||
\(203\) | 9.90990 | + | 4.41217i | 0.695539 | + | 0.309674i | ||||
\(204\) | −0.248511 | − | 0.00456548i | −0.0173993 | − | 0.000319648i | ||||
\(205\) | 15.4189 | − | 4.54624i | 1.07690 | − | 0.317523i | ||||
\(206\) | 8.28779 | + | 6.02143i | 0.577438 | + | 0.419533i | ||||
\(207\) | 18.6318 | + | 4.68170i | 1.29500 | + | 0.325401i | ||||
\(208\) | −0.719246 | − | 0.522563i | −0.0498707 | − | 0.0362332i | ||||
\(209\) | 1.77818 | + | 1.97487i | 0.122999 | + | 0.136605i | ||||
\(210\) | 3.24900 | + | 8.30086i | 0.224202 | + | 0.572814i | ||||
\(211\) | −4.66558 | + | 5.18166i | −0.321192 | + | 0.356720i | −0.882020 | − | 0.471213i | \(-0.843816\pi\) |
0.560828 | + | 0.827933i | \(0.310483\pi\) | |||||||
\(212\) | 13.1018 | − | 2.78487i | 0.899835 | − | 0.191266i | ||||
\(213\) | 0.328202 | + | 3.79136i | 0.0224880 | + | 0.259780i | ||||
\(214\) | 13.3878 | + | 2.84566i | 0.915169 | + | 0.194525i | ||||
\(215\) | −6.02156 | + | 12.5838i | −0.410667 | + | 0.858209i | ||||
\(216\) | 4.02917 | + | 3.28113i | 0.274150 | + | 0.223253i | ||||
\(217\) | −13.3819 | − | 9.72255i | −0.908425 | − | 0.660010i | ||||
\(218\) | 6.51551 | − | 11.2852i | 0.441286 | − | 0.764330i | ||||
\(219\) | 8.06145 | + | 1.86891i | 0.544742 | + | 0.126289i | ||||
\(220\) | 6.74931 | + | 4.14764i | 0.455039 | + | 0.279634i | ||||
\(221\) | −0.116549 | − | 0.0518909i | −0.00783993 | − | 0.00349056i | ||||
\(222\) | −8.01472 | − | 14.4902i | −0.537913 | − | 0.972520i | ||||
\(223\) | −15.9201 | − | 3.38392i | −1.06609 | − | 0.226604i | −0.358718 | − | 0.933446i | \(-0.616786\pi\) |
−0.707372 | + | 0.706842i | \(0.750119\pi\) | |||||||
\(224\) | −2.30160 | −0.153782 | ||||||||
\(225\) | −8.97513 | − | 12.0186i | −0.598342 | − | 0.801241i | ||||
\(226\) | −17.1299 | −1.13946 | ||||||||
\(227\) | 1.84405 | + | 0.391965i | 0.122394 | + | 0.0260156i | 0.268701 | − | 0.963224i | \(-0.413406\pi\) |
−0.146307 | + | 0.989239i | \(0.546739\pi\) | |||||||
\(228\) | 1.29900 | + | 0.0238644i | 0.0860284 | + | 0.00158046i | ||||
\(229\) | −1.82367 | − | 0.811951i | −0.120512 | − | 0.0536552i | 0.345595 | − | 0.938384i | \(-0.387677\pi\) |
−0.466107 | + | 0.884729i | \(0.654344\pi\) | |||||||
\(230\) | 10.8999 | − | 9.28580i | 0.718721 | − | 0.612288i | ||||
\(231\) | 4.11685 | + | 13.5099i | 0.270869 | + | 0.888884i | ||||
\(232\) | 2.35657 | − | 4.08169i | 0.154716 | − | 0.267976i | ||||
\(233\) | 4.06114 | + | 2.95059i | 0.266054 | + | 0.193300i | 0.712812 | − | 0.701355i | \(-0.247421\pi\) |
−0.446758 | + | 0.894655i | \(0.647421\pi\) | |||||||
\(234\) | 1.24782 | + | 2.35721i | 0.0815723 | + | 0.154095i | ||||
\(235\) | −4.24151 | − | 23.0465i | −0.276686 | − | 1.50339i | ||||
\(236\) | −5.04821 | − | 1.07303i | −0.328610 | − | 0.0698483i | ||||
\(237\) | −12.9221 | − | 6.04011i | −0.839384 | − | 0.392347i | ||||
\(238\) | −0.323067 | + | 0.0686700i | −0.0209413 | + | 0.00445121i | ||||
\(239\) | −4.73247 | + | 5.25594i | −0.306118 | + | 0.339978i | −0.876501 | − | 0.481401i | \(-0.840128\pi\) |
0.570383 | + | 0.821379i | \(0.306795\pi\) | |||||||
\(240\) | 3.73436 | − | 1.02691i | 0.241052 | − | 0.0662865i | ||||
\(241\) | 11.3882 | + | 12.6479i | 0.733578 | + | 0.814720i | 0.988337 | − | 0.152284i | \(-0.0486629\pi\) |
−0.254759 | + | 0.967005i | \(0.581996\pi\) | |||||||
\(242\) | 1.25497 | + | 0.911789i | 0.0806725 | + | 0.0586120i | ||||
\(243\) | −6.52319 | − | 14.1580i | −0.418463 | − | 0.908234i | ||||
\(244\) | 3.23182 | + | 2.34805i | 0.206896 | + | 0.150319i | ||||
\(245\) | −2.15250 | − | 3.14034i | −0.137518 | − | 0.200629i | ||||
\(246\) | 6.42290 | − | 10.6673i | 0.409509 | − | 0.680125i | ||||
\(247\) | 0.609217 | + | 0.271241i | 0.0387635 | + | 0.0172586i | ||||
\(248\) | −4.80887 | + | 5.34079i | −0.305363 | + | 0.339140i | ||||
\(249\) | 0.126499 | − | 1.02251i | 0.00801654 | − | 0.0647987i | ||||
\(250\) | −11.1775 | + | 0.250593i | −0.706929 | + | 0.0158489i | ||||
\(251\) | −1.11517 | −0.0703890 | −0.0351945 | − | 0.999380i | \(-0.511205\pi\) | ||||
−0.0351945 | + | 0.999380i | \(0.511205\pi\) | |||||||
\(252\) | 6.20043 | + | 3.03823i | 0.390591 | + | 0.191390i | ||||
\(253\) | 18.3539 | − | 13.3349i | 1.15390 | − | 0.838359i | ||||
\(254\) | −0.343988 | − | 3.27282i | −0.0215837 | − | 0.205355i | ||||
\(255\) | 0.493540 | − | 0.255561i | 0.0309067 | − | 0.0160038i | ||||
\(256\) | −0.104528 | + | 0.994522i | −0.00653303 | + | 0.0621576i | ||||
\(257\) | 9.04620 | + | 15.6685i | 0.564286 | + | 0.977373i | 0.997116 | + | 0.0758967i | \(0.0241819\pi\) |
−0.432829 | + | 0.901476i | \(0.642485\pi\) | |||||||
\(258\) | 3.14986 | + | 10.3366i | 0.196102 | + | 0.643528i | ||||
\(259\) | −14.7236 | − | 16.3523i | −0.914883 | − | 1.01608i | ||||
\(260\) | 1.97061 | + | 0.261952i | 0.122212 | + | 0.0162456i | ||||
\(261\) | −11.7366 | + | 7.88516i | −0.726475 | + | 0.488079i | ||||
\(262\) | −2.21937 | + | 6.83051i | −0.137113 | + | 0.421990i | ||||
\(263\) | 20.8403 | + | 23.1455i | 1.28507 | + | 1.42721i | 0.849973 | + | 0.526827i | \(0.176618\pi\) |
0.435095 | + | 0.900385i | \(0.356715\pi\) | |||||||
\(264\) | 6.02459 | − | 1.16534i | 0.370788 | − | 0.0717215i | ||||
\(265\) | −22.7993 | + | 19.4230i | −1.40055 | + | 1.19315i | ||||
\(266\) | 1.68871 | − | 0.358947i | 0.103542 | − | 0.0220085i | ||||
\(267\) | 5.75760 | + | 1.33480i | 0.352359 | + | 0.0816886i | ||||
\(268\) | −1.35024 | + | 2.33868i | −0.0824787 | + | 0.142857i | ||||
\(269\) | 11.1148 | + | 8.07541i | 0.677684 | + | 0.492366i | 0.872589 | − | 0.488456i | \(-0.162440\pi\) |
−0.194904 | + | 0.980822i | \(0.562440\pi\) | |||||||
\(270\) | −11.4158 | − | 2.16310i | −0.694745 | − | 0.131642i | ||||
\(271\) | −12.6541 | + | 9.19376i | −0.768683 | + | 0.558481i | −0.901561 | − | 0.432651i | \(-0.857578\pi\) |
0.132878 | + | 0.991132i | \(0.457578\pi\) | |||||||
\(272\) | 0.0150001 | + | 0.142716i | 0.000909512 | + | 0.00865343i | ||||
\(273\) | 2.32271 | + | 2.67692i | 0.140577 | + | 0.162014i | ||||
\(274\) | −5.97156 | − | 10.3430i | −0.360755 | − | 0.624846i | ||||
\(275\) | −17.6872 | − | 0.971461i | −1.06658 | − | 0.0585813i | ||||
\(276\) | 1.36179 | − | 11.0076i | 0.0819704 | − | 0.662577i | ||||
\(277\) | −19.1121 | − | 4.06240i | −1.14833 | − | 0.244086i | −0.405843 | − | 0.913943i | \(-0.633022\pi\) |
−0.742490 | + | 0.669857i | \(0.766355\pi\) | |||||||
\(278\) | 8.91848 | − | 6.47965i | 0.534895 | − | 0.388624i | ||||
\(279\) | 20.0051 | − | 8.03997i | 1.19767 | − | 0.481340i | ||||
\(280\) | 4.52594 | − | 2.45004i | 0.270476 | − | 0.146418i | ||||
\(281\) | 10.2046 | − | 4.54336i | 0.608752 | − | 0.271034i | −0.0791206 | − | 0.996865i | \(-0.525211\pi\) |
0.687873 | + | 0.725831i | \(0.258545\pi\) | |||||||
\(282\) | −14.4865 | − | 10.9372i | −0.862657 | − | 0.651298i | ||||
\(283\) | −0.678361 | + | 6.45418i | −0.0403244 | + | 0.383661i | 0.955684 | + | 0.294396i | \(0.0951185\pi\) |
−0.996008 | + | 0.0892650i | \(0.971548\pi\) | |||||||
\(284\) | 2.14912 | − | 0.456809i | 0.127527 | − | 0.0271066i | ||||
\(285\) | −2.57980 | + | 1.33585i | −0.152814 | + | 0.0791289i | ||||
\(286\) | 3.08083 | + | 0.654850i | 0.182173 | + | 0.0387221i | ||||
\(287\) | 5.11307 | − | 15.7364i | 0.301815 | − | 0.928890i | ||||
\(288\) | 1.59442 | − | 2.54123i | 0.0939519 | − | 0.149743i | ||||
\(289\) | −5.24693 | − | 16.1484i | −0.308643 | − | 0.949904i | ||||
\(290\) | −0.289095 | + | 10.5349i | −0.0169762 | + | 0.618632i | ||||
\(291\) | −25.2199 | − | 11.7884i | −1.47841 | − | 0.691045i | ||||
\(292\) | 0.499408 | − | 4.75155i | 0.0292256 | − | 0.278063i | ||||
\(293\) | 16.7482 | + | 29.0088i | 0.978443 | + | 1.69471i | 0.668070 | + | 0.744099i | \(0.267121\pi\) |
0.310373 | + | 0.950615i | \(0.399546\pi\) | |||||||
\(294\) | −2.87287 | − | 0.666028i | −0.167549 | − | 0.0388435i | ||||
\(295\) | 11.0692 | − | 3.26374i | 0.644473 | − | 0.190022i | ||||
\(296\) | −7.73450 | + | 5.61945i | −0.449559 | + | 0.326624i | ||||
\(297\) | −17.7684 | − | 4.81339i | −1.03102 | − | 0.279301i | ||||
\(298\) | −7.39946 | − | 22.7732i | −0.428639 | − | 1.31922i | ||||
\(299\) | 2.84655 | − | 4.93036i | 0.164620 | − | 0.285130i | ||||
\(300\) | −6.25024 | + | 5.99454i | −0.360858 | + | 0.346095i | ||||
\(301\) | 7.17958 | + | 12.4354i | 0.413824 | + | 0.716764i | ||||
\(302\) | 9.57007 | − | 10.6286i | 0.550695 | − | 0.611609i | ||||
\(303\) | −1.23252 | − | 2.22833i | −0.0708062 | − | 0.128014i | ||||
\(304\) | −0.0784073 | − | 0.745996i | −0.00449697 | − | 0.0427858i | ||||
\(305\) | −8.85464 | − | 1.17704i | −0.507015 | − | 0.0673971i | ||||
\(306\) | 0.147983 | − | 0.404273i | 0.00845961 | − | 0.0231108i | ||||
\(307\) | −30.5763 | −1.74508 | −0.872540 | − | 0.488542i | \(-0.837529\pi\) | ||||
−0.872540 | + | 0.488542i | \(0.837529\pi\) | |||||||
\(308\) | 7.44908 | − | 3.31655i | 0.424451 | − | 0.188978i | ||||
\(309\) | −14.5440 | + | 10.1640i | −0.827381 | + | 0.578210i | ||||
\(310\) | 3.77108 | − | 15.6213i | 0.214183 | − | 0.887231i | ||||
\(311\) | 17.6292 | − | 19.5792i | 0.999660 | − | 1.11024i | 0.00575670 | − | 0.999983i | \(-0.498168\pi\) |
0.993904 | − | 0.110252i | \(-0.0351658\pi\) | |||||||
\(312\) | 1.26218 | − | 0.882070i | 0.0714572 | − | 0.0499374i | ||||
\(313\) | 10.0530 | + | 11.1650i | 0.568229 | + | 0.631082i | 0.956943 | − | 0.290276i | \(-0.0937473\pi\) |
−0.388714 | + | 0.921358i | \(0.627081\pi\) | |||||||
\(314\) | 4.53247 | + | 13.9495i | 0.255782 | + | 0.787216i | ||||
\(315\) | −15.4269 | + | 0.625850i | −0.869207 | + | 0.0352627i | ||||
\(316\) | −2.54487 | + | 7.83232i | −0.143160 | + | 0.440602i | ||||
\(317\) | −11.5173 | + | 5.12782i | −0.646874 | + | 0.288007i | −0.703828 | − | 0.710370i | \(-0.748528\pi\) |
0.0569546 | + | 0.998377i | \(0.481861\pi\) | |||||||
\(318\) | −2.84846 | + | 23.0244i | −0.159733 | + | 1.29115i | ||||
\(319\) | −1.74537 | + | 16.6061i | −0.0977219 | + | 0.929762i | ||||
\(320\) | −0.853113 | − | 2.06693i | −0.0476905 | − | 0.115545i | ||||
\(321\) | −12.2283 | + | 20.3091i | −0.682515 | + | 1.13354i | ||||
\(322\) | −1.54061 | − | 14.6579i | −0.0858549 | − | 0.816855i | ||||
\(323\) | −0.0332631 | − | 0.102373i | −0.00185081 | − | 0.00569621i | ||||
\(324\) | −7.64986 | + | 4.74128i | −0.424992 | + | 0.263404i | ||||
\(325\) | −4.15392 | + | 1.58259i | −0.230418 | + | 0.0877864i | ||||
\(326\) | 1.70782 | − | 2.95804i | 0.0945876 | − | 0.163831i | ||||
\(327\) | 14.7919 | + | 17.0476i | 0.817994 | + | 0.942737i | ||||
\(328\) | −6.56749 | − | 2.92404i | −0.362629 | − | 0.161453i | ||||
\(329\) | −22.0350 | − | 9.81062i | −1.21483 | − | 0.540877i | ||||
\(330\) | −10.6065 | + | 8.70469i | −0.583866 | + | 0.479177i | ||||
\(331\) | −3.10179 | + | 1.38100i | −0.170490 | + | 0.0759068i | −0.490207 | − | 0.871606i | \(-0.663079\pi\) |
0.319717 | + | 0.947513i | \(0.396412\pi\) | |||||||
\(332\) | −0.594845 | −0.0326464 | ||||||||
\(333\) | 28.2545 | − | 4.92867i | 1.54833 | − | 0.270089i | ||||
\(334\) | 3.47374 | − | 10.6911i | 0.190075 | − | 0.584990i | ||||
\(335\) | 0.165642 | − | 6.03616i | 0.00904998 | − | 0.329791i | ||||
\(336\) | 1.30132 | − | 3.76811i | 0.0709931 | − | 0.205567i | ||||
\(337\) | 10.0573 | − | 2.13775i | 0.547857 | − | 0.116451i | 0.0743361 | − | 0.997233i | \(-0.476316\pi\) |
0.473521 | + | 0.880783i | \(0.342983\pi\) | |||||||
\(338\) | −11.9428 | + | 2.53852i | −0.649603 | + | 0.138077i | ||||
\(339\) | 9.68525 | − | 28.0445i | 0.526031 | − | 1.52317i | ||||
\(340\) | −0.181417 | − | 0.264674i | −0.00983871 | − | 0.0143540i | ||||
\(341\) | 7.86788 | − | 24.2148i | 0.426069 | − | 1.31131i | ||||
\(342\) | −0.773526 | + | 2.11319i | −0.0418275 | + | 0.114268i | ||||
\(343\) | −20.0300 | −1.08152 | ||||||||
\(344\) | 5.69940 | − | 2.53754i | 0.307291 | − | 0.136815i | ||||
\(345\) | 9.03959 | + | 23.0952i | 0.486675 | + | 1.24341i | ||||
\(346\) | −1.54654 | − | 0.688562i | −0.0831423 | − | 0.0370173i | ||||
\(347\) | 13.5549 | + | 6.03504i | 0.727666 | + | 0.323978i | 0.736921 | − | 0.675979i | \(-0.236279\pi\) |
−0.00925453 | + | 0.999957i | \(0.502946\pi\) | |||||||
\(348\) | 5.35002 | + | 6.16589i | 0.286791 | + | 0.330526i | ||||
\(349\) | 17.2110 | − | 29.8104i | 0.921285 | − | 1.59571i | 0.123856 | − | 0.992300i | \(-0.460474\pi\) |
0.797429 | − | 0.603413i | \(-0.206193\pi\) | |||||||
\(350\) | −6.29190 | + | 9.63565i | −0.336316 | + | 0.515047i | ||||
\(351\) | −4.56466 | + | 0.710119i | −0.243644 | + | 0.0379034i | ||||
\(352\) | −1.09478 | − | 3.36938i | −0.0583518 | − | 0.179588i | ||||
\(353\) | −0.258350 | − | 2.45804i | −0.0137506 | − | 0.130828i | 0.985493 | − | 0.169716i | \(-0.0542851\pi\) |
−0.999244 | + | 0.0388880i | \(0.987618\pi\) | |||||||
\(354\) | 4.61099 | − | 7.65808i | 0.245071 | − | 0.407022i | ||||
\(355\) | −3.73982 | + | 3.18600i | −0.198489 | + | 0.169096i | ||||
\(356\) | 0.356684 | − | 3.39362i | 0.0189042 | − | 0.179862i | ||||
\(357\) | 0.0702378 | − | 0.567741i | 0.00371738 | − | 0.0300480i | ||||
\(358\) | −22.7837 | + | 10.1440i | −1.20416 | + | 0.536125i | ||||
\(359\) | −2.58562 | + | 7.95772i | −0.136464 | + | 0.419993i | −0.995815 | − | 0.0913936i | \(-0.970868\pi\) |
0.859351 | + | 0.511386i | \(0.170868\pi\) | |||||||
\(360\) | −0.430192 | + | 6.69440i | −0.0226731 | + | 0.352826i | ||||
\(361\) | −5.69745 | − | 17.5350i | −0.299866 | − | 0.922892i | ||||
\(362\) | 2.70239 | + | 3.00131i | 0.142034 | + | 0.157745i | ||||
\(363\) | −2.20231 | + | 1.53907i | −0.115591 | + | 0.0807803i | ||||
\(364\) | 1.36918 | − | 1.52063i | 0.0717644 | − | 0.0797025i | ||||
\(365\) | 4.07594 | + | 9.87521i | 0.213344 | + | 0.516892i | ||||
\(366\) | −5.67143 | + | 3.96344i | −0.296450 | + | 0.207172i | ||||
\(367\) | 9.13877 | − | 4.06884i | 0.477040 | − | 0.212392i | −0.154108 | − | 0.988054i | \(-0.549251\pi\) |
0.631149 | + | 0.775662i | \(0.282584\pi\) | |||||||
\(368\) | −6.40367 | −0.333814 | ||||||||
\(369\) | 13.8327 | + | 16.5467i | 0.720104 | + | 0.861386i | ||||
\(370\) | 9.22752 | − | 19.2836i | 0.479716 | − | 1.00251i | ||||
\(371\) | 3.22248 | + | 30.6599i | 0.167303 | + | 1.59178i | ||||
\(372\) | −6.02484 | − | 10.8926i | −0.312373 | − | 0.564756i | ||||
\(373\) | 11.0022 | − | 12.2191i | 0.569670 | − | 0.632683i | −0.387617 | − | 0.921820i | \(-0.626702\pi\) |
0.957288 | + | 0.289137i | \(0.0933685\pi\) | |||||||
\(374\) | −0.254198 | − | 0.440283i | −0.0131442 | − | 0.0227665i | ||||
\(375\) | 5.90952 | − | 18.4412i | 0.305166 | − | 0.952299i | ||||
\(376\) | −5.23991 | + | 9.07578i | −0.270227 | + | 0.468048i | ||||
\(377\) | 1.29483 | + | 3.98507i | 0.0666870 | + | 0.205241i | ||||
\(378\) | −8.47982 | + | 8.43334i | −0.436155 | + | 0.433764i | ||||
\(379\) | 16.8249 | − | 12.2240i | 0.864235 | − | 0.627904i | −0.0647986 | − | 0.997898i | \(-0.520641\pi\) |
0.929034 | + | 0.369995i | \(0.120641\pi\) | |||||||
\(380\) | 0.948290 | + | 1.38349i | 0.0486463 | + | 0.0709714i | ||||
\(381\) | 5.55266 | + | 1.28729i | 0.284471 | + | 0.0659499i | ||||
\(382\) | 7.88093 | + | 13.6502i | 0.403224 | + | 0.698404i | ||||
\(383\) | 0.272663 | − | 2.59422i | 0.0139324 | − | 0.132558i | −0.985345 | − | 0.170575i | \(-0.945437\pi\) |
0.999277 | + | 0.0380169i | \(0.0121041\pi\) | |||||||
\(384\) | −1.56910 | − | 0.733434i | −0.0800728 | − | 0.0374279i | ||||
\(385\) | −11.1177 | + | 14.4513i | −0.566609 | + | 0.736504i | ||||
\(386\) | −7.47556 | − | 23.0074i | −0.380496 | − | 1.17105i | ||||
\(387\) | −18.7037 | − | 0.687456i | −0.950762 | − | 0.0349453i | ||||
\(388\) | −4.96677 | + | 15.2862i | −0.252150 | + | 0.776037i | ||||
\(389\) | 12.7447 | + | 2.70897i | 0.646181 | + | 0.137350i | 0.519333 | − | 0.854572i | \(-0.326181\pi\) |
0.126848 | + | 0.991922i | \(0.459514\pi\) | |||||||
\(390\) | −1.54304 | + | 3.07812i | −0.0781351 | + | 0.155866i | ||||
\(391\) | −0.898859 | + | 0.191058i | −0.0454572 | + | 0.00966224i | ||||
\(392\) | −0.177975 | + | 1.69332i | −0.00898909 | + | 0.0855254i | ||||
\(393\) | −9.92787 | − | 7.49546i | −0.500795 | − | 0.378096i | ||||
\(394\) | −0.683599 | + | 0.304358i | −0.0344392 | + | 0.0153333i | ||||
\(395\) | −3.33312 | − | 18.1107i | −0.167708 | − | 0.911249i | ||||
\(396\) | −1.49845 | + | 10.5222i | −0.0753001 | + | 0.528758i | ||||
\(397\) | −12.7975 | + | 9.29795i | −0.642290 | + | 0.466651i | −0.860636 | − | 0.509220i | \(-0.829934\pi\) |
0.218346 | + | 0.975871i | \(0.429934\pi\) | |||||||
\(398\) | −8.96124 | − | 1.90477i | −0.449187 | − | 0.0954775i | ||||
\(399\) | −0.367142 | + | 2.96766i | −0.0183801 | + | 0.148569i | ||||
\(400\) | 3.87782 | + | 3.15634i | 0.193891 | + | 0.157817i | ||||
\(401\) | 5.99557 | + | 10.3846i | 0.299405 | + | 0.518584i | 0.976000 | − | 0.217771i | \(-0.0698786\pi\) |
−0.676595 | + | 0.736355i | \(0.736545\pi\) | |||||||
\(402\) | −3.06538 | − | 3.53285i | −0.152887 | − | 0.176203i | ||||
\(403\) | −0.667861 | − | 6.35427i | −0.0332685 | − | 0.316529i | ||||
\(404\) | −1.18942 | + | 0.864168i | −0.0591761 | + | 0.0429940i | ||||
\(405\) | 9.99587 | − | 17.4666i | 0.496699 | − | 0.867923i | ||||
\(406\) | 8.77601 | + | 6.37614i | 0.435546 | + | 0.316443i | ||||
\(407\) | 16.9351 | − | 29.3325i | 0.839442 | − | 1.45396i | ||||
\(408\) | −0.242131 | − | 0.0561341i | −0.0119873 | − | 0.00277905i | ||||
\(409\) | 14.1305 | − | 3.00354i | 0.698710 | − | 0.148515i | 0.155156 | − | 0.987890i | \(-0.450412\pi\) |
0.543554 | + | 0.839375i | \(0.317078\pi\) | |||||||
\(410\) | 16.0271 | − | 1.24113i | 0.791524 | − | 0.0612951i | ||||
\(411\) | 20.3096 | − | 3.92849i | 1.00180 | − | 0.193778i | ||||
\(412\) | 6.85476 | + | 7.61298i | 0.337710 | + | 0.375065i | ||||
\(413\) | 3.67067 | − | 11.2971i | 0.180622 | − | 0.555896i | ||||
\(414\) | 17.2513 | + | 8.45317i | 0.847854 | + | 0.415450i | ||||
\(415\) | 1.16972 | − | 0.633208i | 0.0574194 | − | 0.0310830i | ||||
\(416\) | −0.594882 | − | 0.660683i | −0.0291665 | − | 0.0323926i | ||||
\(417\) | 5.56578 | + | 18.2647i | 0.272557 | + | 0.894424i | ||||
\(418\) | 1.32873 | + | 2.30142i | 0.0649901 | + | 0.112566i | ||||
\(419\) | 2.00650 | − | 19.0906i | 0.0980239 | − | 0.932635i | −0.829408 | − | 0.558643i | \(-0.811322\pi\) |
0.927432 | − | 0.373992i | \(-0.122011\pi\) | |||||||
\(420\) | 1.45215 | + | 8.79497i | 0.0708579 | + | 0.429151i | ||||
\(421\) | 1.90411 | + | 18.1164i | 0.0928006 | + | 0.882938i | 0.937567 | + | 0.347804i | \(0.113072\pi\) |
−0.844767 | + | 0.535135i | \(0.820261\pi\) | |||||||
\(422\) | −5.64096 | + | 4.09840i | −0.274597 | + | 0.199507i | ||||
\(423\) | 26.0966 | − | 17.5329i | 1.26886 | − | 0.852480i | ||||
\(424\) | 13.3945 | 0.650495 | ||||||||
\(425\) | 0.638487 | + | 0.327346i | 0.0309712 | + | 0.0158786i | ||||
\(426\) | −0.467238 | + | 3.77675i | −0.0226378 | + | 0.182984i | ||||
\(427\) | −6.15219 | + | 6.83270i | −0.297725 | + | 0.330657i | ||||
\(428\) | 12.5036 | + | 5.56694i | 0.604382 | + | 0.269088i | ||||
\(429\) | −2.81400 | + | 4.67358i | −0.135861 | + | 0.225643i | ||||
\(430\) | −8.50630 | + | 11.0569i | −0.410210 | + | 0.533210i | ||||
\(431\) | 8.53170 | + | 6.19864i | 0.410957 | + | 0.298578i | 0.773989 | − | 0.633199i | \(-0.218258\pi\) |
−0.363032 | + | 0.931777i | \(0.618258\pi\) | |||||||
\(432\) | 3.25894 | + | 4.04714i | 0.156796 | + | 0.194718i | ||||
\(433\) | 11.1986 | + | 8.13629i | 0.538172 | + | 0.391005i | 0.823406 | − | 0.567453i | \(-0.192071\pi\) |
−0.285233 | + | 0.958458i | \(0.592071\pi\) | |||||||
\(434\) | −11.0681 | − | 12.2924i | −0.531285 | − | 0.590052i | ||||
\(435\) | −17.0840 | − | 6.42975i | −0.819115 | − | 0.308283i | ||||
\(436\) | 8.71945 | − | 9.68393i | 0.417586 | − | 0.463776i | ||||
\(437\) | 4.69846 | − | 0.998688i | 0.224758 | − | 0.0477737i | ||||
\(438\) | 7.49672 | + | 3.50414i | 0.358207 | + | 0.167434i | ||||
\(439\) | −3.57536 | − | 0.759966i | −0.170643 | − | 0.0362712i | 0.121798 | − | 0.992555i | \(-0.461134\pi\) |
−0.292441 | + | 0.956284i | \(0.594467\pi\) | |||||||
\(440\) | 5.73948 | + | 5.46027i | 0.273619 | + | 0.260308i | ||||
\(441\) | 2.71472 | − | 4.32681i | 0.129273 | − | 0.206038i | ||||
\(442\) | −0.103213 | − | 0.0749888i | −0.00490936 | − | 0.00356686i | ||||
\(443\) | −14.1183 | + | 24.4536i | −0.670780 | + | 1.16182i | 0.306904 | + | 0.951741i | \(0.400707\pi\) |
−0.977683 | + | 0.210084i | \(0.932626\pi\) | |||||||
\(444\) | −4.82689 | − | 15.8399i | −0.229074 | − | 0.751730i | ||||
\(445\) | 2.91109 | + | 7.05301i | 0.137999 | + | 0.334345i | ||||
\(446\) | −14.8687 | − | 6.61995i | −0.704052 | − | 0.313464i | ||||
\(447\) | 41.4672 | + | 0.761808i | 1.96133 | + | 0.0360323i | ||||
\(448\) | −2.25130 | − | 0.478529i | −0.106364 | − | 0.0226084i | ||||
\(449\) | 35.6213 | 1.68107 | 0.840536 | − | 0.541755i | \(-0.182240\pi\) | ||||
0.840536 | + | 0.541755i | \(0.182240\pi\) | |||||||
\(450\) | −6.28019 | − | 13.6220i | −0.296051 | − | 0.642148i | ||||
\(451\) | 25.4690 | 1.19929 | ||||||||
\(452\) | −16.7556 | − | 3.56151i | −0.788116 | − | 0.167519i | ||||
\(453\) | 11.9900 | + | 21.6773i | 0.563337 | + | 1.01849i | ||||
\(454\) | 1.72226 | + | 0.766799i | 0.0808296 | + | 0.0359877i | ||||
\(455\) | −1.07370 | + | 4.44769i | −0.0503358 | + | 0.208511i | ||||
\(456\) | 1.26565 | + | 0.293420i | 0.0592696 | + | 0.0137407i | ||||
\(457\) | −8.32562 | + | 14.4204i | −0.389456 | + | 0.674557i | −0.992376 | − | 0.123244i | \(-0.960670\pi\) |
0.602921 | + | 0.797801i | \(0.294004\pi\) | |||||||
\(458\) | −1.61501 | − | 1.17337i | −0.0754643 | − | 0.0548280i | ||||
\(459\) | 0.578194 | + | 0.470849i | 0.0269878 | + | 0.0219774i | ||||
\(460\) | 12.5924 | − | 6.81666i | 0.587123 | − | 0.317828i | ||||
\(461\) | 28.2018 | + | 5.99448i | 1.31349 | + | 0.279191i | 0.810824 | − | 0.585290i | \(-0.199019\pi\) |
0.502666 | + | 0.864481i | \(0.332353\pi\) | |||||||
\(462\) | 1.21803 | + | 14.0706i | 0.0566679 | + | 0.654623i | ||||
\(463\) | 37.5433 | − | 7.98008i | 1.74479 | − | 0.370866i | 0.778361 | − | 0.627816i | \(-0.216051\pi\) |
0.966424 | + | 0.256951i | \(0.0827178\pi\) | |||||||
\(464\) | 3.15370 | − | 3.50254i | 0.146407 | − | 0.162601i | ||||
\(465\) | 23.4425 | + | 15.0062i | 1.08712 | + | 0.695895i | ||||
\(466\) | 3.35893 | + | 3.73047i | 0.155599 | + | 0.172811i | ||||
\(467\) | 31.7320 | + | 23.0546i | 1.46838 | + | 1.06684i | 0.981079 | + | 0.193607i | \(0.0620185\pi\) |
0.487301 | + | 0.873234i | \(0.337981\pi\) | |||||||
\(468\) | 0.730457 | + | 2.56513i | 0.0337654 | + | 0.118573i | ||||
\(469\) | −5.02836 | − | 3.65332i | −0.232188 | − | 0.168695i | ||||
\(470\) | 0.642812 | − | 23.4248i | 0.0296507 | − | 1.08050i | ||||
\(471\) | −25.4003 | − | 0.466638i | −1.17039 | − | 0.0215016i | ||||
\(472\) | −4.71480 | − | 2.09916i | −0.217016 | − | 0.0966218i | ||||
\(473\) | −14.7895 | + | 16.4254i | −0.680022 | + | 0.755240i | ||||
\(474\) | −11.3840 | − | 8.59479i | −0.522882 | − | 0.394772i | ||||
\(475\) | −3.33746 | − | 1.71108i | −0.153133 | − | 0.0785099i | ||||
\(476\) | −0.330284 | −0.0151386 | ||||||||
\(477\) | −36.0844 | − | 17.6814i | −1.65219 | − | 0.809577i | ||||
\(478\) | −5.72182 | + | 4.15715i | −0.261710 | + | 0.190144i | ||||
\(479\) | 2.96286 | + | 28.1897i | 0.135377 | + | 1.28802i | 0.825530 | + | 0.564358i | \(0.190876\pi\) |
−0.690153 | + | 0.723663i | \(0.742457\pi\) | |||||||
\(480\) | 3.86626 | − | 0.228048i | 0.176470 | − | 0.0104089i | ||||
\(481\) | 0.888442 | − | 8.45296i | 0.0405095 | − | 0.385422i | ||||
\(482\) | 8.50969 | + | 14.7392i | 0.387606 | + | 0.671353i | ||||
\(483\) | 24.8686 | + | 5.76536i | 1.13156 | + | 0.262333i | ||||
\(484\) | 1.03797 | + | 1.15279i | 0.0471806 | + | 0.0523994i | ||||
\(485\) | −6.50518 | − | 35.3463i | −0.295385 | − | 1.60499i | ||||
\(486\) | −3.43704 | − | 15.2048i | −0.155907 | − | 0.689705i | ||||
\(487\) | −6.30450 | + | 19.4033i | −0.285684 | + | 0.879246i | 0.700508 | + | 0.713644i | \(0.252957\pi\) |
−0.986193 | + | 0.165602i | \(0.947043\pi\) | |||||||
\(488\) | 2.67301 | + | 2.96868i | 0.121001 | + | 0.134386i | ||||
\(489\) | 3.87720 | + | 4.46847i | 0.175333 | + | 0.202071i | ||||
\(490\) | −1.45255 | − | 3.51925i | −0.0656195 | − | 0.158983i | ||||
\(491\) | 7.11796 | − | 1.51297i | 0.321229 | − | 0.0682794i | −0.0444750 | − | 0.999010i | \(-0.514162\pi\) |
0.365704 | + | 0.930731i | \(0.380828\pi\) | |||||||
\(492\) | 8.50041 | − | 9.09885i | 0.383228 | − | 0.410208i | ||||
\(493\) | 0.338172 | − | 0.585732i | 0.0152305 | − | 0.0263800i | ||||
\(494\) | 0.539510 | + | 0.391977i | 0.0242737 | + | 0.0176359i | ||||
\(495\) | −8.25415 | − | 22.2862i | −0.370996 | − | 1.00169i | ||||
\(496\) | −5.81420 | + | 4.22426i | −0.261065 | + | 0.189675i | ||||
\(497\) | 0.528591 | + | 5.02921i | 0.0237106 | + | 0.225591i | ||||
\(498\) | 0.336326 | − | 0.973862i | 0.0150711 | − | 0.0436398i | ||||
\(499\) | −4.33253 | − | 7.50416i | −0.193951 | − | 0.335932i | 0.752605 | − | 0.658472i | \(-0.228797\pi\) |
−0.946556 | + | 0.322540i | \(0.895463\pi\) | |||||||
\(500\) | −10.9854 | − | 2.07882i | −0.491281 | − | 0.0929677i | ||||
\(501\) | 15.5390 | + | 11.7318i | 0.694233 | + | 0.524140i | ||||
\(502\) | −1.09080 | − | 0.231857i | −0.0486849 | − | 0.0103483i | ||||
\(503\) | −29.0893 | + | 21.1346i | −1.29703 | + | 0.942347i | −0.999922 | − | 0.0124976i | \(-0.996022\pi\) |
−0.297107 | + | 0.954844i | \(0.596022\pi\) | |||||||
\(504\) | 5.43326 | + | 4.26098i | 0.242016 | + | 0.189799i | ||||
\(505\) | 1.41902 | − | 2.96546i | 0.0631457 | − | 0.131961i | ||||
\(506\) | 20.7254 | − | 9.22752i | 0.921354 | − | 0.410213i | ||||
\(507\) | 2.59648 | − | 20.9877i | 0.115314 | − | 0.932095i | ||||
\(508\) | 0.343988 | − | 3.27282i | 0.0152620 | − | 0.145208i | ||||
\(509\) | 21.4275 | − | 4.55455i | 0.949757 | − | 0.201877i | 0.293113 | − | 0.956078i | \(-0.405309\pi\) |
0.656644 | + | 0.754201i | \(0.271975\pi\) | |||||||
\(510\) | 0.535889 | − | 0.147363i | 0.0237296 | − | 0.00652535i | ||||
\(511\) | 10.7561 | + | 2.28628i | 0.475821 | + | 0.101139i | ||||
\(512\) | −0.309017 | + | 0.951057i | −0.0136568 | + | 0.0420312i | ||||
\(513\) | −3.02230 | − | 2.46119i | −0.133438 | − | 0.108664i | ||||
\(514\) | 5.59086 | + | 17.2069i | 0.246602 | + | 0.758963i | ||||
\(515\) | −21.5834 | − | 7.67357i | −0.951077 | − | 0.338138i | ||||
\(516\) | 0.931933 | + | 10.7656i | 0.0410261 | + | 0.473930i | ||||
\(517\) | 3.88089 | − | 36.9242i | 0.170681 | − | 1.62392i | ||||
\(518\) | −11.0021 | − | 19.0561i | −0.483403 | − | 0.837279i | ||||
\(519\) | 2.00171 | − | 2.14263i | 0.0878651 | − | 0.0940509i | ||||
\(520\) | 1.87309 | + | 0.665941i | 0.0821403 | + | 0.0292034i | ||||
\(521\) | 3.32879 | − | 2.41851i | 0.145837 | − | 0.105957i | −0.512474 | − | 0.858702i | \(-0.671271\pi\) |
0.658311 | + | 0.752746i | \(0.271271\pi\) | |||||||
\(522\) | −13.1195 | + | 5.27269i | −0.574225 | + | 0.230779i | ||||
\(523\) | 2.75668 | + | 8.48418i | 0.120541 | + | 0.370987i | 0.993062 | − | 0.117589i | \(-0.0375165\pi\) |
−0.872521 | + | 0.488576i | \(0.837516\pi\) | |||||||
\(524\) | −3.59101 | + | 6.21982i | −0.156874 | + | 0.271714i | ||||
\(525\) | −12.2178 | − | 15.7489i | −0.533226 | − | 0.687339i | ||||
\(526\) | 15.5727 | + | 26.9726i | 0.679000 | + | 1.17606i | ||||
\(527\) | −0.690083 | + | 0.766415i | −0.0300605 | + | 0.0333855i | ||||
\(528\) | 6.13522 | + | 0.112712i | 0.267001 | + | 0.00490517i | ||||
\(529\) | −1.88224 | − | 17.9083i | −0.0818365 | − | 0.778622i | ||||
\(530\) | −26.3394 | + | 14.2584i | −1.14411 | + | 0.619343i | ||||
\(531\) | 9.93052 | + | 11.8789i | 0.430948 | + | 0.515498i | ||||
\(532\) | 1.72644 | 0.0748507 | ||||||||
\(533\) | 5.83874 | − | 2.59958i | 0.252904 | − | 0.112600i | ||||
\(534\) | 5.35426 | + | 2.50271i | 0.231702 | + | 0.108303i | ||||
\(535\) | −30.5134 | + | 2.36293i | −1.31921 | + | 0.102159i | ||||
\(536\) | −1.80697 | + | 2.00684i | −0.0780491 | + | 0.0866823i | ||||
\(537\) | −3.72546 | − | 43.0362i | −0.160765 | − | 1.85715i | ||||
\(538\) | 9.19299 | + | 10.2098i | 0.396338 | + | 0.440178i | ||||
\(539\) | −1.86402 | − | 5.73685i | −0.0802888 | − | 0.247104i | ||||
\(540\) | −10.7166 | − | 4.48931i | −0.461170 | − | 0.193189i | ||||
\(541\) | −3.89555 | + | 11.9893i | −0.167483 | + | 0.515458i | −0.999211 | − | 0.0397248i | \(-0.987352\pi\) |
0.831728 | + | 0.555183i | \(0.187352\pi\) | |||||||
\(542\) | −14.2891 | + | 6.36191i | −0.613769 | + | 0.273268i | ||||
\(543\) | −6.44158 | + | 2.72733i | −0.276434 | + | 0.117041i | ||||
\(544\) | −0.0150001 | + | 0.142716i | −0.000643122 | + | 0.00611890i | ||||
\(545\) | −6.83773 | + | 28.3246i | −0.292896 | + | 1.21329i | ||||
\(546\) | 1.71539 | + | 3.10134i | 0.0734119 | + | 0.132725i | ||||
\(547\) | −0.851270 | − | 8.09929i | −0.0363977 | − | 0.346301i | −0.997532 | − | 0.0702183i | \(-0.977630\pi\) |
0.961134 | − | 0.276082i | \(-0.0890363\pi\) | |||||||
\(548\) | −3.69062 | − | 11.3586i | −0.157656 | − | 0.485214i | ||||
\(549\) | −3.28219 | − | 11.5260i | −0.140081 | − | 0.491919i | ||||
\(550\) | −17.0987 | − | 4.62761i | −0.729092 | − | 0.197322i | ||||
\(551\) | −1.76767 | + | 3.06170i | −0.0753054 | + | 0.130433i | ||||
\(552\) | 3.62064 | − | 10.4839i | 0.154105 | − | 0.446224i | ||||
\(553\) | −17.3158 | − | 7.70951i | −0.736345 | − | 0.327842i | ||||
\(554\) | −17.8498 | − | 7.94725i | −0.758366 | − | 0.337646i | ||||
\(555\) | 26.3532 | + | 26.0099i | 1.11863 | + | 1.10406i | ||||
\(556\) | 10.0708 | − | 4.48380i | 0.427096 | − | 0.190156i | ||||
\(557\) | −12.7630 | −0.540787 | −0.270394 | − | 0.962750i | \(-0.587154\pi\) | ||||
−0.270394 | + | 0.962750i | \(0.587154\pi\) | |||||||
\(558\) | 21.2395 | − | 3.70499i | 0.899140 | − | 0.156845i | ||||
\(559\) | −1.71396 | + | 5.27503i | −0.0724929 | + | 0.223110i | ||||
\(560\) | 4.93643 | − | 1.45550i | 0.208602 | − | 0.0615061i | ||||
\(561\) | 0.864541 | − | 0.167228i | 0.0365010 | − | 0.00706038i | ||||
\(562\) | 10.9262 | − | 2.32243i | 0.460893 | − | 0.0979658i | ||||
\(563\) | −43.5377 | + | 9.25422i | −1.83489 | + | 0.390019i | −0.989548 | − | 0.144201i | \(-0.953939\pi\) |
−0.845345 | + | 0.534220i | \(0.820605\pi\) | |||||||
\(564\) | −11.8959 | − | 13.7101i | −0.500910 | − | 0.577298i | ||||
\(565\) | 36.7399 | − | 10.8327i | 1.54566 | − | 0.455736i | ||||
\(566\) | −2.00544 | + | 6.17210i | −0.0842948 | + | 0.259433i | ||||
\(567\) | −9.01231 | − | 18.6511i | −0.378482 | − | 0.783273i | ||||
\(568\) | 2.19713 | 0.0921895 | ||||||||
\(569\) | 13.2033 | − | 5.87848i | 0.553510 | − | 0.246439i | −0.110868 | − | 0.993835i | \(-0.535363\pi\) |
0.664378 | + | 0.747397i | \(0.268696\pi\) | |||||||
\(570\) | −2.80116 | + | 0.770287i | −0.117328 | + | 0.0322638i | ||||
\(571\) | −28.1297 | − | 12.5242i | −1.17719 | − | 0.524120i | −0.277534 | − | 0.960716i | \(-0.589517\pi\) |
−0.899658 | + | 0.436596i | \(0.856184\pi\) | |||||||
\(572\) | 2.87735 | + | 1.28108i | 0.120308 | + | 0.0535646i | ||||
\(573\) | −26.8035 | + | 5.18460i | −1.11973 | + | 0.216590i | ||||
\(574\) | 8.27312 | − | 14.3295i | 0.345313 | − | 0.598100i | ||||
\(575\) | −17.5058 | + | 26.8090i | −0.730041 | + | 1.11801i | ||||
\(576\) | 2.08793 | − | 2.15420i | 0.0869969 | − | 0.0897583i | ||||
\(577\) | 10.5165 | + | 32.3666i | 0.437809 | + | 1.34744i | 0.890181 | + | 0.455608i | \(0.150578\pi\) |
−0.452372 | + | 0.891829i | \(0.649422\pi\) | |||||||
\(578\) | −1.77483 | − | 16.8864i | −0.0738233 | − | 0.702381i | ||||
\(579\) | 41.8937 | + | 0.769643i | 1.74104 | + | 0.0319853i | ||||
\(580\) | −2.47311 | + | 10.2446i | −0.102690 | + | 0.425384i | ||||
\(581\) | 0.143109 | − | 1.36159i | 0.00593718 | − | 0.0564884i | ||||
\(582\) | −22.2178 | − | 16.7743i | −0.920958 | − | 0.695315i | ||||
\(583\) | −43.3511 | + | 19.3011i | −1.79542 | + | 0.799372i | ||||
\(584\) | 1.47640 | − | 4.54388i | 0.0610937 | − | 0.188027i | ||||
\(585\) | −4.16696 | − | 4.26659i | −0.172283 | − | 0.176402i | ||||
\(586\) | 10.3510 | + | 31.8571i | 0.427595 | + | 1.31600i | ||||
\(587\) | −20.2995 | − | 22.5449i | −0.837851 | − | 0.930528i | 0.160552 | − | 0.987027i | \(-0.448673\pi\) |
−0.998403 | + | 0.0564997i | \(0.982006\pi\) | |||||||
\(588\) | −2.67162 | − | 1.24878i | −0.110176 | − | 0.0514987i | ||||
\(589\) | 3.60716 | − | 4.00615i | 0.148630 | − | 0.165071i | ||||
\(590\) | 11.5059 | − | 0.891007i | 0.473689 | − | 0.0366822i | ||||
\(591\) | −0.111778 | − | 1.29125i | −0.00459794 | − | 0.0531149i | ||||
\(592\) | −8.73383 | + | 3.88855i | −0.358958 | + | 0.159819i | ||||
\(593\) | −23.6814 | −0.972480 | −0.486240 | − | 0.873825i | \(-0.661632\pi\) | ||||
−0.486240 | + | 0.873825i | \(0.661632\pi\) | |||||||
\(594\) | −16.3793 | − | 8.40245i | −0.672051 | − | 0.344757i | ||||
\(595\) | 0.649482 | − | 0.351585i | 0.0266262 | − | 0.0144136i | ||||
\(596\) | −2.50295 | − | 23.8140i | −0.102525 | − | 0.975459i | ||||
\(597\) | 8.18512 | − | 13.5941i | 0.334995 | − | 0.556370i | ||||
\(598\) | 3.80942 | − | 4.23079i | 0.155779 | − | 0.173010i | ||||
\(599\) | −5.07144 | − | 8.78399i | −0.207213 | − | 0.358904i | 0.743622 | − | 0.668600i | \(-0.233106\pi\) |
−0.950836 | + | 0.309696i | \(0.899773\pi\) | |||||||
\(600\) | −7.35999 | + | 4.56405i | −0.300470 | + | 0.186327i | ||||
\(601\) | 11.8068 | − | 20.4499i | 0.481608 | − | 0.834169i | −0.518170 | − | 0.855278i | \(-0.673386\pi\) |
0.999777 | + | 0.0211090i | \(0.00671972\pi\) | |||||||
\(602\) | 4.43722 | + | 13.6564i | 0.180848 | + | 0.556592i | ||||
\(603\) | 7.51704 | − | 3.02108i | 0.306118 | − | 0.123028i | ||||
\(604\) | 11.5708 | − | 8.40665i | 0.470807 | − | 0.342062i | ||||
\(605\) | −3.26824 | − | 1.16196i | −0.132873 | − | 0.0472404i | ||||
\(606\) | −0.742287 | − | 2.43589i | −0.0301534 | − | 0.0989513i | ||||
\(607\) | −14.3412 | − | 24.8397i | −0.582091 | − | 1.00821i | −0.995231 | − | 0.0975436i | \(-0.968901\pi\) |
0.413140 | − | 0.910667i | \(-0.364432\pi\) | |||||||
\(608\) | 0.0784073 | − | 0.745996i | 0.00317984 | − | 0.0302541i | ||||
\(609\) | −15.4008 | + | 10.7627i | −0.624071 | + | 0.436128i | ||||
\(610\) | −8.41642 | − | 2.99230i | −0.340771 | − | 0.121155i | ||||
\(611\) | −2.87909 | − | 8.86093i | −0.116476 | − | 0.358475i | ||||
\(612\) | 0.228802 | − | 0.364672i | 0.00924878 | − | 0.0147410i | ||||
\(613\) | −7.44761 | + | 22.9214i | −0.300806 | + | 0.925786i | 0.680403 | + | 0.732838i | \(0.261805\pi\) |
−0.981209 | + | 0.192948i | \(0.938195\pi\) | |||||||
\(614\) | −29.9081 | − | 6.35717i | −1.20699 | − | 0.256554i | ||||
\(615\) | −7.02982 | + | 26.9409i | −0.283470 | + | 1.08636i | ||||
\(616\) | 7.97585 | − | 1.69532i | 0.321356 | − | 0.0683064i | ||||
\(617\) | −0.373831 | + | 3.55677i | −0.0150499 | + | 0.143190i | −0.999466 | − | 0.0326622i | \(-0.989601\pi\) |
0.984417 | + | 0.175852i | \(0.0562681\pi\) | |||||||
\(618\) | −16.3394 | + | 6.91802i | −0.657268 | + | 0.278283i | ||||
\(619\) | −34.4407 | + | 15.3340i | −1.38429 | + | 0.616325i | −0.957607 | − | 0.288077i | \(-0.906984\pi\) |
−0.426681 | + | 0.904402i | \(0.640317\pi\) | |||||||
\(620\) | 6.93653 | − | 14.4959i | 0.278578 | − | 0.582169i | ||||
\(621\) | −23.5931 | + | 23.4638i | −0.946760 | + | 0.941571i | ||||
\(622\) | 21.3147 | − | 15.4860i | 0.854642 | − | 0.620934i | ||||
\(623\) | 7.68215 | + | 1.63289i | 0.307779 | + | 0.0654204i | ||||
\(624\) | 1.41800 | − | 0.600371i | 0.0567653 | − | 0.0240341i | ||||
\(625\) | 23.8149 | − | 7.60599i | 0.952596 | − | 0.304240i | ||||
\(626\) | 7.51198 | + | 13.0111i | 0.300239 | + | 0.520029i | ||||
\(627\) | −4.51908 | + | 0.874124i | −0.180474 | + | 0.0349092i | ||||
\(628\) | 1.53316 | + | 14.5870i | 0.0611796 | + | 0.582085i | ||||
\(629\) | −1.10992 | + | 0.806403i | −0.0442553 | + | 0.0321534i | ||||
\(630\) | −15.2199 | − | 2.59526i | −0.606376 | − | 0.103398i | ||||
\(631\) | 34.6264 | + | 25.1576i | 1.37846 | + | 1.00151i | 0.997023 | + | 0.0771096i | \(0.0245691\pi\) |
0.381433 | + | 0.924397i | \(0.375431\pi\) | |||||||
\(632\) | −4.11769 | + | 7.13205i | −0.163793 | + | 0.283698i | ||||
\(633\) | −3.52037 | − | 11.5524i | −0.139922 | − | 0.459168i | ||||
\(634\) | −12.3317 | + | 2.62119i | −0.489755 | + | 0.104101i | ||||
\(635\) | 2.80747 | + | 6.80196i | 0.111411 | + | 0.269927i | ||||
\(636\) | −7.57326 | + | 21.9291i | −0.300299 | + | 0.869544i | ||||
\(637\) | −1.01287 | − | 1.12491i | −0.0401314 | − | 0.0445705i | ||||
\(638\) | −5.15983 | + | 15.8803i | −0.204280 | + | 0.628708i | ||||
\(639\) | −5.91900 | − | 2.90032i | −0.234152 | − | 0.114735i | ||||
\(640\) | −0.404732 | − | 2.19913i | −0.0159984 | − | 0.0869284i | ||||
\(641\) | 17.6059 | + | 19.5534i | 0.695392 | + | 0.772311i | 0.982635 | − | 0.185547i | \(-0.0594056\pi\) |
−0.287244 | + | 0.957858i | \(0.592739\pi\) | |||||||
\(642\) | −16.1835 | + | 17.3229i | −0.638714 | + | 0.683680i | ||||
\(643\) | −2.92305 | − | 5.06287i | −0.115274 | − | 0.199660i | 0.802615 | − | 0.596497i | \(-0.203441\pi\) |
−0.917889 | + | 0.396837i | \(0.870108\pi\) | |||||||
\(644\) | 1.54061 | − | 14.6579i | 0.0607086 | − | 0.577603i | ||||
\(645\) | −13.2925 | − | 20.1778i | −0.523392 | − | 0.794500i | ||||
\(646\) | −0.0112516 | − | 0.107052i | −0.000442689 | − | 0.00421191i | ||||
\(647\) | −19.5758 | + | 14.2227i | −0.769604 | + | 0.559150i | −0.901841 | − | 0.432068i | \(-0.857784\pi\) |
0.132237 | + | 0.991218i | \(0.457784\pi\) | |||||||
\(648\) | −8.46845 | + | 3.04717i | −0.332672 | + | 0.119704i | ||||
\(649\) | 18.2842 | 0.717718 | ||||||||
\(650\) | −4.39219 | + | 0.684360i | −0.172276 | + | 0.0268428i | ||||
\(651\) | 26.3826 | − | 11.1702i | 1.03401 | − | 0.437796i | ||||
\(652\) | 2.28551 | − | 2.53832i | 0.0895076 | − | 0.0994083i | ||||
\(653\) | 25.4457 | + | 11.3291i | 0.995767 | + | 0.443344i | 0.838906 | − | 0.544277i | \(-0.183196\pi\) |
0.156861 | + | 0.987621i | \(0.449863\pi\) | |||||||
\(654\) | 10.9243 | + | 19.7505i | 0.427172 | + | 0.772306i | ||||
\(655\) | 0.440532 | − | 16.0535i | 0.0172130 | − | 0.627260i | ||||
\(656\) | −5.81604 | − | 4.22560i | −0.227078 | − | 0.164982i | ||||
\(657\) | −9.97552 | + | 10.2922i | −0.389182 | + | 0.401535i | ||||
\(658\) | −19.5137 | − | 14.1776i | −0.760725 | − | 0.552699i | ||||
\(659\) | −14.7305 | − | 16.3598i | −0.573817 | − | 0.637288i | 0.384456 | − | 0.923143i | \(-0.374389\pi\) |
−0.958273 | + | 0.285855i | \(0.907722\pi\) | |||||||
\(660\) | −12.1845 | + | 6.30926i | −0.474280 | + | 0.245588i | ||||
\(661\) | −0.586056 | + | 0.650881i | −0.0227949 | + | 0.0253164i | −0.754434 | − | 0.656375i | \(-0.772089\pi\) |
0.731640 | + | 0.681692i | \(0.238755\pi\) | |||||||
\(662\) | −3.32113 | + | 0.705928i | −0.129079 | + | 0.0274367i | ||||
\(663\) | 0.181126 | − | 0.126579i | 0.00703436 | − | 0.00491592i | ||||
\(664\) | −0.581846 | − | 0.123675i | −0.0225800 | − | 0.00479953i | ||||
\(665\) | −3.39493 | + | 1.83778i | −0.131650 | + | 0.0712662i | ||||
\(666\) | 28.6618 | + | 1.05347i | 1.11062 | + | 0.0408210i | ||||
\(667\) | 24.4172 | + | 17.7401i | 0.945438 | + | 0.686901i | ||||
\(668\) | 5.62063 | − | 9.73522i | 0.217469 | − | 0.376667i | ||||
\(669\) | 19.2447 | − | 20.5996i | 0.744044 | − | 0.796426i | ||||
\(670\) | 1.41701 | − | 5.86982i | 0.0547439 | − | 0.226771i | ||||
\(671\) | −12.9289 | − | 5.75633i | −0.499116 | − | 0.222221i | ||||
\(672\) | 2.05632 | − | 3.41520i | 0.0793243 | − | 0.131744i | ||||
\(673\) | −29.7380 | − | 6.32101i | −1.14632 | − | 0.243657i | −0.404679 | − | 0.914459i | \(-0.632617\pi\) |
−0.741637 | + | 0.670802i | \(0.765950\pi\) | |||||||
\(674\) | 10.2820 | 0.396048 | ||||||||
\(675\) | 25.8524 | − | 2.57985i | 0.995058 | − | 0.0992984i | ||||
\(676\) | −12.2096 | −0.469601 | ||||||||
\(677\) | −31.0581 | − | 6.60159i | −1.19366 | − | 0.253720i | −0.432105 | − | 0.901823i | \(-0.642229\pi\) |
−0.761552 | + | 0.648103i | \(0.775563\pi\) | |||||||
\(678\) | 15.3044 | − | 25.4180i | 0.587762 | − | 0.976173i | ||||
\(679\) | −33.7949 | − | 15.0465i | −1.29693 | − | 0.577431i | ||||
\(680\) | −0.122424 | − | 0.296609i | −0.00469473 | − | 0.0113744i | ||||
\(681\) | −2.22914 | + | 2.38608i | −0.0854210 | + | 0.0914348i | ||||
\(682\) | 12.7305 | − | 22.0499i | 0.487476 | − | 0.844333i | ||||
\(683\) | −27.6138 | − | 20.0626i | −1.05661 | − | 0.767674i | −0.0831534 | − | 0.996537i | \(-0.526499\pi\) |
−0.973459 | + | 0.228863i | \(0.926499\pi\) | |||||||
\(684\) | −1.19598 | + | 1.90619i | −0.0457294 | + | 0.0728849i | ||||
\(685\) | 19.3485 | + | 18.4072i | 0.739268 | + | 0.703304i | ||||
\(686\) | −19.5923 | − | 4.16447i | −0.748037 | − | 0.159000i | ||||
\(687\) | 2.83413 | − | 1.98061i | 0.108129 | − | 0.0755651i | ||||
\(688\) | 6.10244 | − | 1.29711i | 0.232653 | − | 0.0494520i | ||||
\(689\) | −7.96814 | + | 8.84952i | −0.303562 | + | 0.337140i | ||||
\(690\) | 4.04029 | + | 24.4700i | 0.153811 | + | 0.931557i | ||||
\(691\) | −23.3127 | − | 25.8914i | −0.886857 | − | 0.984955i | 0.113106 | − | 0.993583i | \(-0.463920\pi\) |
−0.999963 | + | 0.00862835i | \(0.997253\pi\) | |||||||
\(692\) | −1.36958 | − | 0.995059i | −0.0520637 | − | 0.0378265i | ||||
\(693\) | −23.7246 | − | 5.96139i | −0.901223 | − | 0.226455i | ||||
\(694\) | 12.0040 | + | 8.72138i | 0.455664 | + | 0.331059i | ||||
\(695\) | −15.0305 | + | 19.5374i | −0.570141 | + | 0.741095i | ||||
\(696\) | 3.95115 | + | 7.14348i | 0.149768 | + | 0.270773i | ||||
\(697\) | −0.942450 | − | 0.419606i | −0.0356978 | − | 0.0158937i | ||||
\(698\) | 23.0329 | − | 25.5806i | 0.871806 | − | 0.968239i | ||||
\(699\) | −8.00655 | + | 3.38993i | −0.302836 | + | 0.128219i | ||||
\(700\) | −8.15777 | + | 8.11693i | −0.308335 | + | 0.306791i | ||||
\(701\) | 24.3828 | 0.920925 | 0.460462 | − | 0.887679i | \(-0.347684\pi\) | ||||
0.460462 | + | 0.887679i | \(0.347684\pi\) | |||||||
\(702\) | −4.61256 | − | 0.254446i | −0.174090 | − | 0.00960343i | ||||
\(703\) | 5.80169 | − | 4.21518i | 0.218815 | − | 0.158978i | ||||
\(704\) | −0.370320 | − | 3.52336i | −0.0139570 | − | 0.132792i | ||||
\(705\) | 37.9868 | + | 14.2968i | 1.43067 | + | 0.538447i | ||||
\(706\) | 0.258350 | − | 2.45804i | 0.00972314 | − | 0.0925095i | ||||
\(707\) | −1.69192 | − | 2.93049i | −0.0636311 | − | 0.110212i | ||||
\(708\) | 6.10243 | − | 6.53205i | 0.229344 | − | 0.245490i | ||||
\(709\) | 21.8201 | + | 24.2336i | 0.819470 | + | 0.910114i | 0.997262 | − | 0.0739544i | \(-0.0235619\pi\) |
−0.177792 | + | 0.984068i | \(0.556895\pi\) | |||||||
\(710\) | −4.32051 | + | 2.33883i | −0.162146 | + | 0.0877747i | ||||
\(711\) | 20.5076 | − | 13.7780i | 0.769095 | − | 0.516714i | ||||
\(712\) | 1.05446 | − | 3.24530i | 0.0395177 | − | 0.121623i | ||||
\(713\) | −30.7944 | − | 34.2006i | −1.15326 | − | 1.28082i | ||||
\(714\) | 0.186743 | − | 0.540731i | 0.00698868 | − | 0.0202364i | ||||
\(715\) | −7.02181 | + | 0.543764i | −0.262601 | + | 0.0203356i | ||||
\(716\) | −24.3949 | + | 5.18529i | −0.911680 | + | 0.193784i | ||||
\(717\) | −3.57083 | − | 11.7180i | −0.133355 | − | 0.437618i | ||||
\(718\) | −4.18362 | + | 7.24625i | −0.156131 | + | 0.270428i | ||||
\(719\) | 15.2873 | + | 11.1069i | 0.570121 | + | 0.414217i | 0.835149 | − | 0.550024i | \(-0.185381\pi\) |
−0.265028 | + | 0.964241i | \(0.585381\pi\) | |||||||
\(720\) | −1.81263 | + | 6.45867i | −0.0675529 | + | 0.240700i | ||||
\(721\) | −19.0752 | + | 13.8589i | −0.710397 | + | 0.516133i | ||||
\(722\) | −1.92723 | − | 18.3363i | −0.0717240 | − | 0.682408i | ||||
\(723\) | −28.9420 | + | 5.59824i | −1.07636 | + | 0.208201i | ||||
\(724\) | 2.01933 | + | 3.49758i | 0.0750477 | + | 0.129986i | ||||
\(725\) | −6.04210 | − | 22.7779i | −0.224398 | − | 0.845951i | ||||
\(726\) | −2.47418 | + | 1.04755i | −0.0918254 | + | 0.0388783i | ||||
\(727\) | −0.115132 | − | 0.0244722i | −0.00427003 | − | 0.000907622i | 0.205776 | − | 0.978599i | \(-0.434028\pi\) |
−0.210046 | + | 0.977691i | \(0.567361\pi\) | |||||||
\(728\) | 1.65541 | − | 1.20273i | 0.0613537 | − | 0.0445761i | ||||
\(729\) | 26.8362 | + | 2.96980i | 0.993932 | + | 0.109993i | ||||
\(730\) | 1.93370 | + | 10.5068i | 0.0715693 | + | 0.388876i | ||||
\(731\) | 0.817877 | − | 0.364142i | 0.0302503 | − | 0.0134683i | ||||
\(732\) | −6.37154 | + | 2.69767i | −0.235499 | + | 0.0997089i | ||||
\(733\) | −4.21537 | + | 40.1066i | −0.155698 | + | 1.48137i | 0.585822 | + | 0.810440i | \(0.300772\pi\) |
−0.741520 | + | 0.670931i | \(0.765895\pi\) | |||||||
\(734\) | 9.78503 | − | 2.07987i | 0.361172 | − | 0.0767695i | ||||
\(735\) | 6.58287 | − | 0.388284i | 0.242813 | − | 0.0143221i | ||||
\(736\) | −6.26373 | − | 1.33140i | −0.230884 | − | 0.0490760i | ||||
\(737\) | 2.95641 | − | 9.09890i | 0.108901 | − | 0.335162i | ||||
\(738\) | 10.0902 | + | 19.0611i | 0.371426 | + | 0.701649i | ||||
\(739\) | 4.10221 | + | 12.6253i | 0.150902 | + | 0.464430i | 0.997723 | − | 0.0674492i | \(-0.0214861\pi\) |
−0.846820 | + | 0.531879i | \(0.821486\pi\) | |||||||
\(740\) | 13.0352 | − | 16.9437i | 0.479182 | − | 0.622862i | ||||
\(741\) | −0.946771 | + | 0.661645i | −0.0347805 | + | 0.0243061i | ||||
\(742\) | −3.22248 | + | 30.6599i | −0.118301 | + | 1.12556i | ||||
\(743\) | 14.9471 | + | 25.8891i | 0.548355 | + | 0.949779i | 0.998387 | + | 0.0567670i | \(0.0180792\pi\) |
−0.450032 | + | 0.893012i | \(0.648587\pi\) | |||||||
\(744\) | −3.62848 | − | 11.9072i | −0.133027 | − | 0.436540i | ||||
\(745\) | 30.2717 | + | 44.1642i | 1.10907 | + | 1.61805i | ||||
\(746\) | 13.3022 | − | 9.66464i | 0.487030 | − | 0.353848i | ||||
\(747\) | 1.40422 | + | 1.10124i | 0.0513776 | + | 0.0402924i | ||||
\(748\) | −0.157103 | − | 0.483513i | −0.00574425 | − | 0.0176790i | ||||
\(749\) | −15.7508 | + | 27.2812i | −0.575522 | + | 0.996834i | ||||
\(750\) | 9.61452 | − | 16.8096i | 0.351073 | − | 0.613798i | ||||
\(751\) | 0.305271 | + | 0.528746i | 0.0111395 | + | 0.0192942i | 0.871541 | − | 0.490322i | \(-0.163121\pi\) |
−0.860402 | + | 0.509616i | \(0.829787\pi\) | |||||||
\(752\) | −7.01236 | + | 7.78802i | −0.255715 | + | 0.284000i | ||||
\(753\) | 0.996330 | − | 1.65474i | 0.0363083 | − | 0.0603019i | ||||
\(754\) | 0.437990 | + | 4.16719i | 0.0159506 | + | 0.151760i | ||||
\(755\) | −13.8043 | + | 28.8481i | −0.502390 | + | 1.04989i | ||||
\(756\) | −10.0479 | + | 6.48600i | −0.365439 | + | 0.235894i | ||||
\(757\) | −9.57801 | −0.348119 | −0.174059 | − | 0.984735i | \(-0.555688\pi\) | ||||
−0.174059 | + | 0.984735i | \(0.555688\pi\) | |||||||
\(758\) | 18.9987 | − | 8.45877i | 0.690064 | − | 0.307236i | ||||
\(759\) | 3.38889 | + | 39.1482i | 0.123009 | + | 1.42099i | ||||
\(760\) | 0.639925 | + | 1.55041i | 0.0232125 | + | 0.0562394i | ||||
\(761\) | −17.9122 | + | 19.8935i | −0.649316 | + | 0.721138i | −0.974469 | − | 0.224523i | \(-0.927918\pi\) |
0.325153 | + | 0.945661i | \(0.394584\pi\) | |||||||
\(762\) | 5.16367 | + | 2.41362i | 0.187060 | + | 0.0874363i | ||||
\(763\) | 20.0687 | + | 22.2885i | 0.726535 | + | 0.806899i | ||||
\(764\) | 4.87068 | + | 14.9904i | 0.176215 | + | 0.542334i | ||||
\(765\) | −0.0617335 | + | 0.960660i | −0.00223198 | + | 0.0347327i | ||||
\(766\) | 0.806073 | − | 2.48084i | 0.0291246 | − | 0.0896363i | ||||
\(767\) | 4.19163 | − | 1.86623i | 0.151351 | − | 0.0673858i | ||||
\(768\) | −1.38232 | − | 1.04364i | −0.0498802 | − | 0.0376591i | ||||
\(769\) | 2.80115 | − | 26.6511i | 0.101012 | − | 0.961064i | −0.820220 | − | 0.572049i | \(-0.806149\pi\) |
0.921231 | − | 0.389015i | \(-0.127185\pi\) | |||||||
\(770\) | −13.8793 | + | 11.8240i | −0.500176 | + | 0.426106i | ||||
\(771\) | −31.3317 | − | 0.575605i | −1.12838 | − | 0.0207299i | ||||
\(772\) | −2.52869 | − | 24.0589i | −0.0910096 | − | 0.865899i | ||||
\(773\) | −13.9242 | − | 42.8542i | −0.500818 | − | 1.54136i | −0.807689 | − | 0.589609i | \(-0.799282\pi\) |
0.306871 | − | 0.951751i | \(-0.400718\pi\) | |||||||
\(774\) | −18.1520 | − | 4.56115i | −0.652462 | − | 0.163947i | ||||
\(775\) | 1.79057 | + | 35.8891i | 0.0643190 | + | 1.28917i | ||||
\(776\) | −8.03641 | + | 13.9195i | −0.288490 | + | 0.499680i | ||||
\(777\) | 37.4187 | − | 7.23789i | 1.34239 | − | 0.259658i | ||||
\(778\) | 11.9030 | + | 5.29954i | 0.426742 | + | 0.189998i | ||||
\(779\) | 4.92631 | + | 2.19334i | 0.176503 | + | 0.0785844i | ||||
\(780\) | −2.14930 | + | 2.69004i | −0.0769573 | + | 0.0963187i | ||||
\(781\) | −7.11097 | + | 3.16601i | −0.254451 | + | 0.113289i | ||||
\(782\) | −0.918940 | −0.0328612 | ||||||||
\(783\) | −1.21451 | − | 24.4600i | −0.0434029 | − | 0.874130i | ||||
\(784\) | −0.526146 | + | 1.61931i | −0.0187909 | + | 0.0578325i | ||||
\(785\) | −18.5426 | − | 27.0523i | −0.661815 | − | 0.965540i | ||||
\(786\) | −8.15253 | − | 9.39578i | −0.290791 | − | 0.335136i | ||||
\(787\) | −12.6186 | + | 2.68216i | −0.449804 | + | 0.0956088i | −0.427243 | − | 0.904137i | \(-0.640515\pi\) |
−0.0225607 | + | 0.999745i | \(0.507182\pi\) | |||||||
\(788\) | −0.731940 | + | 0.155579i | −0.0260743 | + | 0.00554226i | ||||
\(789\) | −52.9636 | + | 10.2447i | −1.88555 | + | 0.364722i | ||||
\(790\) | 0.505144 | − | 18.4080i | 0.0179722 | − | 0.654926i | ||||
\(791\) | 12.1833 | − | 37.4965i | 0.433190 | − | 1.33322i | ||||
\(792\) | −3.65339 | + | 9.98067i | −0.129817 | + | 0.354648i | ||||
\(793\) | −3.55148 | −0.126117 | ||||||||
\(794\) | −14.4510 | + | 6.43401i | −0.512848 | + | 0.228335i | ||||
\(795\) | −8.45104 | − | 51.1837i | −0.299727 | − | 1.81530i | ||||
\(796\) | −8.36939 | − | 3.72629i | −0.296645 | − | 0.132075i | ||||
\(797\) | −28.6240 | − | 12.7442i | −1.01392 | − | 0.451424i | −0.168596 | − | 0.985685i | \(-0.553923\pi\) |
−0.845319 | + | 0.534261i | \(0.820590\pi\) | |||||||
\(798\) | −0.976130 | + | 2.82648i | −0.0345546 | + | 0.100056i | ||||
\(799\) | −0.751938 | + | 1.30239i | −0.0266016 | + | 0.0460754i | ||||
\(800\) | 3.13684 | + | 3.89361i | 0.110904 | + | 0.137660i | ||||
\(801\) | −7.12466 | + | 7.35080i | −0.251737 | + | 0.259728i | ||||
\(802\) | 3.70547 | + | 11.4043i | 0.130845 | + | 0.402698i | ||||
\(803\) | 1.76929 | + | 16.8336i | 0.0624368 | + | 0.594046i | ||||
\(804\) | −2.26388 | − | 4.09298i | −0.0798408 | − | 0.144348i | ||||
\(805\) | 12.5738 | + | 30.4638i | 0.443167 | + | 1.07371i | ||||
\(806\) | 0.667861 | − | 6.35427i | 0.0235244 | − | 0.223820i | ||||
\(807\) | −21.9130 | + | 9.27782i | −0.771373 | + | 0.326595i | ||||
\(808\) | −1.34310 | + | 0.597988i | −0.0472502 | + | 0.0210372i | ||||
\(809\) | 12.4929 | − | 38.4491i | 0.439226 | − | 1.35180i | −0.449467 | − | 0.893297i | \(-0.648386\pi\) |
0.888693 | − | 0.458502i | \(-0.151614\pi\) | |||||||
\(810\) | 13.4089 | − | 15.0067i | 0.471142 | − | 0.527281i | ||||
\(811\) | −16.6685 | − | 51.3005i | −0.585311 | − | 1.80140i | −0.598017 | − | 0.801483i | \(-0.704045\pi\) |
0.0127062 | − | 0.999919i | \(-0.495955\pi\) | |||||||
\(812\) | 7.25855 | + | 8.06144i | 0.254725 | + | 0.282901i | ||||
\(813\) | −2.33647 | − | 26.9907i | −0.0819435 | − | 0.946605i | ||||
\(814\) | 22.6636 | − | 25.1705i | 0.794359 | − | 0.882225i | ||||
\(815\) | −1.79228 | + | 7.42435i | −0.0627810 | + | 0.260064i | ||||
\(816\) | −0.225169 | − | 0.105249i | −0.00788250 | − | 0.00368446i | ||||
\(817\) | −4.27515 | + | 1.90342i | −0.149569 | + | 0.0665922i | ||||
\(818\) | 14.4462 | 0.505100 | ||||||||
\(819\) | −6.04730 | + | 1.05488i | −0.211310 | + | 0.0368606i | ||||
\(820\) | 15.9350 | + | 2.11822i | 0.556473 | + | 0.0739715i | ||||
\(821\) | 5.46918 | + | 52.0358i | 0.190876 | + | 1.81606i | 0.501091 | + | 0.865394i | \(0.332932\pi\) |
−0.310216 | + | 0.950666i | \(0.600401\pi\) | |||||||
\(822\) | 20.6826 | + | 0.379967i | 0.721388 | + | 0.0132529i | ||||
\(823\) | −3.54188 | + | 3.93366i | −0.123462 | + | 0.137119i | −0.801707 | − | 0.597718i | \(-0.796074\pi\) |
0.678244 | + | 0.734836i | \(0.262741\pi\) | |||||||
\(824\) | 5.12214 | + | 8.87180i | 0.178438 | + | 0.309064i | ||||
\(825\) | 17.2438 | − | 25.3770i | 0.600352 | − | 0.883515i | ||||
\(826\) | 5.93926 | − | 10.2871i | 0.206653 | − | 0.357934i | ||||
\(827\) | 9.10911 | + | 28.0350i | 0.316755 | + | 0.974871i | 0.975026 | + | 0.222090i | \(0.0712880\pi\) |
−0.658271 | + | 0.752781i | \(0.728712\pi\) | |||||||
\(828\) | 15.1168 | + | 11.8552i | 0.525345 | + | 0.411996i | ||||
\(829\) | −17.9280 | + | 13.0254i | −0.622664 | + | 0.452392i | −0.853851 | − | 0.520518i | \(-0.825739\pi\) |
0.231187 | + | 0.972909i | \(0.425739\pi\) | |||||||
\(830\) | 1.27581 | − | 0.376172i | 0.0442841 | − | 0.0130571i | ||||
\(831\) | 23.1033 | − | 24.7298i | 0.801444 | − | 0.857867i | ||||
\(832\) | −0.444518 | − | 0.769928i | −0.0154109 | − | 0.0266925i | ||||
\(833\) | −0.0255398 | + | 0.242995i | −0.000884901 | + | 0.00841927i | ||||
\(834\) | 1.64672 | + | 19.0227i | 0.0570211 | + | 0.658703i | ||||
\(835\) | −0.689518 | + | 25.1268i | −0.0238618 | + | 0.869548i | ||||
\(836\) | 0.821198 | + | 2.52739i | 0.0284017 | + | 0.0874115i | ||||
\(837\) | −5.94313 | + | 36.8674i | −0.205425 | + | 1.27433i | ||||
\(838\) | 5.93180 | − | 18.2562i | 0.204911 | − | 0.630651i | ||||
\(839\) | −24.6945 | − | 5.24898i | −0.852548 | − | 0.181215i | −0.239144 | − | 0.970984i | \(-0.576867\pi\) |
−0.613404 | + | 0.789769i | \(0.710200\pi\) | |||||||
\(840\) | −0.408156 | + | 8.90470i | −0.0140827 | + | 0.307241i | ||||
\(841\) | 6.63808 | − | 1.41097i | 0.228899 | − | 0.0486541i | ||||
\(842\) | −1.90411 | + | 18.1164i | −0.0656199 | + | 0.624332i | ||||
\(843\) | −2.37545 | + | 19.2011i | −0.0818150 | + | 0.661321i | ||||
\(844\) | −6.36979 | + | 2.83601i | −0.219257 | + | 0.0976196i | ||||
\(845\) | 24.0094 | − | 12.9970i | 0.825948 | − | 0.447112i | ||||
\(846\) | 29.1717 | − | 11.7240i | 1.00294 | − | 0.403079i | ||||
\(847\) | −2.88844 | + | 2.09857i | −0.0992478 | + | 0.0721078i | ||||
\(848\) | 13.1018 | + | 2.78487i | 0.449918 | + | 0.0956330i | ||||
\(849\) | −8.97090 | − | 6.77295i | −0.307880 | − | 0.232447i | ||||
\(850\) | 0.556476 | + | 0.452942i | 0.0190870 | + | 0.0155358i | ||||
\(851\) | −30.6107 | − | 53.0193i | −1.04932 | − | 1.81748i | ||||
\(852\) | −1.24226 | + | 3.59707i | −0.0425591 | + | 0.123234i | ||||
\(853\) | −3.53198 | − | 33.6045i | −0.120933 | − | 1.15060i | −0.871703 | − | 0.490034i | \(-0.836984\pi\) |
0.750771 | − | 0.660563i | \(-0.229682\pi\) | |||||||
\(854\) | −7.43835 | + | 5.40428i | −0.254535 | + | 0.184931i | ||||
\(855\) | 0.322689 | − | 5.02150i | 0.0110357 | − | 0.171732i | ||||
\(856\) | 11.0729 | + | 8.04493i | 0.378464 | + | 0.274970i | ||||
\(857\) | 7.36964 | − | 12.7646i | 0.251742 | − | 0.436030i | −0.712263 | − | 0.701912i | \(-0.752330\pi\) |
0.964006 | + | 0.265882i | \(0.0856632\pi\) | |||||||
\(858\) | −3.72420 | + | 3.98639i | −0.127142 | + | 0.136093i | ||||
\(859\) | −22.0644 | + | 4.68993i | −0.752827 | + | 0.160018i | −0.568314 | − | 0.822812i | \(-0.692404\pi\) |
−0.184513 | + | 0.982830i | \(0.559071\pi\) | |||||||
\(860\) | −10.6193 | + | 9.04669i | −0.362114 | + | 0.308490i | ||||
\(861\) | 18.7821 | + | 21.6464i | 0.640093 | + | 0.737706i | ||||
\(862\) | 7.05649 | + | 7.83702i | 0.240345 | + | 0.266930i | ||||
\(863\) | −17.5309 | + | 53.9545i | −0.596758 | + | 1.83663i | −0.0509870 | + | 0.998699i | \(0.516237\pi\) |
−0.545771 | + | 0.837934i | \(0.683763\pi\) | |||||||
\(864\) | 2.34627 | + | 4.63627i | 0.0798218 | + | 0.157729i | ||||
\(865\) | 3.75242 | + | 0.498806i | 0.127586 | + | 0.0169599i | ||||
\(866\) | 9.26230 | + | 10.2868i | 0.314746 | + | 0.349560i | ||||
\(867\) | 28.6494 | + | 6.64187i | 0.972984 | + | 0.225570i | ||||
\(868\) | −8.27050 | − | 14.3249i | −0.280719 | − | 0.486219i | ||||
\(869\) | 3.04973 | − | 29.0163i | 0.103455 | − | 0.984309i | ||||
\(870\) | −15.3738 | − | 9.84120i | −0.521222 | − | 0.333648i | ||||
\(871\) | −0.250954 | − | 2.38766i | −0.00850324 | − | 0.0809029i | ||||
\(872\) | 10.5423 | − | 7.65944i | 0.357008 | − | 0.259381i | ||||
\(873\) | 40.0242 | − | 26.8901i | 1.35462 | − | 0.910093i | ||||
\(874\) | 4.80342 | 0.162478 | ||||||||
\(875\) | 7.40129 | − | 24.6453i | 0.250209 | − | 0.833163i | ||||
\(876\) | 6.60434 | + | 4.98622i | 0.223140 | + | 0.168469i | ||||
\(877\) | 5.59021 | − | 6.20856i | 0.188768 | − | 0.209648i | −0.641331 | − | 0.767265i | \(-0.721617\pi\) |
0.830099 | + | 0.557616i | \(0.188284\pi\) | |||||||
\(878\) | −3.33922 | − | 1.48672i | −0.112693 | − | 0.0501743i | ||||
\(879\) | −58.0079 | − | 1.06568i | −1.95656 | − | 0.0359446i | ||||
\(880\) | 4.47881 | + | 6.53425i | 0.150980 | + | 0.220270i | ||||
\(881\) | −18.2764 | − | 13.2786i | −0.615749 | − | 0.447368i | 0.235685 | − | 0.971830i | \(-0.424267\pi\) |
−0.851434 | + | 0.524462i | \(0.824267\pi\) | |||||||
\(882\) | 3.55499 | − | 3.66783i | 0.119703 | − | 0.123502i | ||||
\(883\) | 30.7392 | + | 22.3333i | 1.03446 | + | 0.751576i | 0.969196 | − | 0.246292i | \(-0.0792123\pi\) |
0.0652600 | + | 0.997868i | \(0.479212\pi\) | |||||||
\(884\) | −0.0853668 | − | 0.0948094i | −0.00287120 | − | 0.00318879i | ||||
\(885\) | −5.04670 | + | 19.3408i | −0.169643 | + | 0.650135i | ||||
\(886\) | −18.8939 | + | 20.9839i | −0.634754 | + | 0.704966i | ||||
\(887\) | 20.9806 | − | 4.45957i | 0.704460 | − | 0.149738i | 0.158266 | − | 0.987396i | \(-0.449410\pi\) |
0.546194 | + | 0.837659i | \(0.316076\pi\) | |||||||
\(888\) | −1.42811 | − | 16.4974i | −0.0479241 | − | 0.553615i | ||||
\(889\) | 7.40870 | + | 1.57477i | 0.248480 | + | 0.0528160i | ||||
\(890\) | 1.38107 | + | 7.50414i | 0.0462937 | + | 0.251539i | ||||
\(891\) | 23.0171 | − | 22.0650i | 0.771102 | − | 0.739204i | ||||
\(892\) | −13.1674 | − | 9.56666i | −0.440876 | − | 0.320316i | ||||
\(893\) | 3.93048 | − | 6.80779i | 0.131528 | − | 0.227814i | ||||
\(894\) | 40.4027 | + | 9.36668i | 1.35127 | + | 0.313269i | ||||
\(895\) | 42.4512 | − | 36.1647i | 1.41899 | − | 1.20885i | ||||
\(896\) | −2.10261 | − | 0.936144i | −0.0702434 | − | 0.0312744i | ||||
\(897\) | 4.77267 | + | 8.62876i | 0.159355 | + | 0.288106i | ||||
\(898\) | 34.8429 | + | 7.40608i | 1.16272 | + | 0.247144i | ||||
\(899\) | 33.8721 | 1.12970 | ||||||||
\(900\) | −3.31078 | − | 14.6301i | −0.110359 | − | 0.487669i | ||||
\(901\) | 1.92214 | 0.0640358 | ||||||||
\(902\) | 24.9125 | + | 5.29531i | 0.829495 | + | 0.176315i | ||||
\(903\) | −24.8666 | − | 0.456832i | −0.827508 | − | 0.0152024i | ||||
\(904\) | −15.6489 | − | 6.96736i | −0.520476 | − | 0.231731i | ||||
\(905\) | −7.69402 | − | 4.72819i | −0.255758 | − | 0.157170i | ||||
\(906\) | 7.22099 | + | 23.6964i | 0.239901 | + | 0.787260i | ||||
\(907\) | 2.41580 | − | 4.18429i | 0.0802154 | − | 0.138937i | −0.823127 | − | 0.567857i | \(-0.807773\pi\) |
0.903342 | + | 0.428920i | \(0.141106\pi\) | |||||||
\(908\) | 1.52520 | + | 1.10812i | 0.0506154 | + | 0.0367743i | ||||
\(909\) | 4.40765 | + | 0.162004i | 0.146193 | + | 0.00537332i | ||||
\(910\) | −1.97496 | + | 4.12726i | −0.0654694 | + | 0.136817i | ||||
\(911\) | −29.2159 | − | 6.21004i | −0.967967 | − | 0.205748i | −0.303307 | − | 0.952893i | \(-0.598091\pi\) |
−0.664661 | + | 0.747145i | \(0.731424\pi\) | |||||||
\(912\) | 1.17699 | + | 0.550153i | 0.0389740 | + | 0.0182174i | ||||
\(913\) | 2.06135 | − | 0.438153i | 0.0682207 | − | 0.0145007i | ||||
\(914\) | −11.1418 | + | 12.3743i | −0.368540 | + | 0.409305i | ||||
\(915\) | 9.65755 | − | 12.0873i | 0.319269 | − | 0.399592i | ||||
\(916\) | −1.33576 | − | 1.48351i | −0.0441346 | − | 0.0490165i | ||||
\(917\) | −13.3732 | − | 9.71617i | −0.441621 | − | 0.320856i | ||||
\(918\) | 0.467664 | + | 0.580773i | 0.0154352 | + | 0.0191684i | ||||
\(919\) | −15.7982 | − | 11.4780i | −0.521134 | − | 0.378626i | 0.295897 | − | 0.955220i | \(-0.404381\pi\) |
−0.817031 | + | 0.576594i | \(0.804381\pi\) | |||||||
\(920\) | 13.7345 | − | 4.04960i | 0.452812 | − | 0.133511i | ||||
\(921\) | 27.3178 | − | 45.3703i | 0.900153 | − | 1.49500i | ||||
\(922\) | 26.3392 | + | 11.7270i | 0.867436 | + | 0.386208i | ||||
\(923\) | −1.30703 | + | 1.45161i | −0.0430215 | + | 0.0477802i | ||||
\(924\) | −1.73403 | + | 14.0164i | −0.0570452 | + | 0.461104i | ||||
\(925\) | −7.59632 | + | 47.1944i | −0.249765 | + | 1.55174i | ||||
\(926\) | 38.3821 | 1.26131 | ||||||||
\(927\) | −2.08765 | − | 30.6618i | −0.0685673 | − | 1.00707i | ||||
\(928\) | 3.81300 | − | 2.77031i | 0.125168 | − | 0.0909399i | ||||
\(929\) | 1.92126 | + | 18.2796i | 0.0630346 | + | 0.599734i | 0.979754 | + | 0.200203i | \(0.0641603\pi\) |
−0.916720 | + | 0.399531i | \(0.869173\pi\) | |||||||
\(930\) | 19.8103 | + | 19.5522i | 0.649606 | + | 0.641143i | ||||
\(931\) | 0.133500 | − | 1.27017i | 0.00437528 | − | 0.0416280i | ||||
\(932\) | 2.50992 | + | 4.34731i | 0.0822152 | + | 0.142401i | ||||
\(933\) | 13.3019 | + | 43.6516i | 0.435485 | + | 1.42909i | ||||
\(934\) | 26.2452 | + | 29.1483i | 0.858770 | + | 0.953760i | ||||
\(935\) | 0.823628 | + | 0.783560i | 0.0269355 | + | 0.0256252i | ||||
\(936\) | 0.181174 | + | 2.66095i | 0.00592185 | + | 0.0869758i | ||||
\(937\) | 15.6629 | − | 48.2055i | 0.511685 | − | 1.57480i | −0.277549 | − | 0.960711i | \(-0.589522\pi\) |
0.789234 | − | 0.614092i | \(-0.210478\pi\) | |||||||
\(938\) | −4.15891 | − | 4.61894i | −0.135793 | − | 0.150814i | ||||
\(939\) | −25.5487 | + | 4.94188i | −0.833750 | + | 0.161272i | ||||
\(940\) | 5.49904 | − | 22.7792i | 0.179359 | − | 0.742976i | ||||
\(941\) | 23.8456 | − | 5.06855i | 0.777346 | − | 0.165230i | 0.197880 | − | 0.980226i | \(-0.436594\pi\) |
0.579466 | + | 0.814996i | \(0.303261\pi\) | |||||||
\(942\) | −24.7483 | − | 5.73747i | −0.806342 | − | 0.186937i | ||||
\(943\) | 23.0180 | − | 39.8684i | 0.749570 | − | 1.29829i | ||||
\(944\) | −4.17533 | − | 3.03355i | −0.135895 | − | 0.0987338i | ||||
\(945\) | 12.8542 | − | 23.4502i | 0.418148 | − | 0.762835i | ||||
\(946\) | −17.8813 | + | 12.9916i | −0.581372 | + | 0.422392i | ||||
\(947\) | 0.494368 | + | 4.70360i | 0.0160648 | + | 0.152846i | 0.999614 | − | 0.0277962i | \(-0.00884895\pi\) |
−0.983549 | + | 0.180643i | \(0.942182\pi\) | |||||||
\(948\) | −9.34823 | − | 10.7738i | −0.303616 | − | 0.349918i | ||||
\(949\) | 2.12378 | + | 3.67850i | 0.0689409 | + | 0.119409i | ||||
\(950\) | −2.90877 | − | 2.36759i | −0.0943731 | − | 0.0768147i | ||||
\(951\) | 2.68103 | − | 21.6711i | 0.0869384 | − | 0.702734i | ||||
\(952\) | −0.323067 | − | 0.0686700i | −0.0104707 | − | 0.00222561i | ||||
\(953\) | 35.7864 | − | 26.0004i | 1.15924 | − | 0.842234i | 0.169555 | − | 0.985521i | \(-0.445767\pi\) |
0.989681 | + | 0.143286i | \(0.0457670\pi\) | |||||||
\(954\) | −31.6197 | − | 24.7974i | −1.02372 | − | 0.802846i | ||||
\(955\) | −25.5351 | − | 24.2928i | −0.826295 | − | 0.786098i | ||||
\(956\) | −6.46111 | + | 2.87667i | −0.208967 | + | 0.0930382i | ||||
\(957\) | −23.0814 | − | 17.4262i | −0.746115 | − | 0.563311i | ||||
\(958\) | −2.96286 | + | 28.1897i | −0.0957257 | + | 0.910769i | ||||
\(959\) | 26.8876 | − | 5.71513i | 0.868245 | − | 0.184551i | ||||
\(960\) | 3.82919 | + | 0.580777i | 0.123587 | + | 0.0187445i | ||||
\(961\) | −20.1980 | − | 4.29322i | −0.651549 | − | 0.138491i | ||||
\(962\) | 2.62650 | − | 8.08352i | 0.0846816 | − | 0.260623i | ||||
\(963\) | −19.2103 | − | 36.2896i | −0.619044 | − | 1.16942i | ||||
\(964\) | 5.25928 | + | 16.1864i | 0.169390 | + | 0.521329i | ||||
\(965\) | 30.5830 | + | 44.6184i | 0.984502 | + | 1.43632i | ||||
\(966\) | 23.1264 | + | 10.8098i | 0.744081 | + | 0.347801i | ||||
\(967\) | 4.23947 | − | 40.3359i | 0.136332 | − | 1.29711i | −0.685788 | − | 0.727801i | \(-0.740542\pi\) |
0.822121 | − | 0.569313i | \(-0.192791\pi\) | |||||||
\(968\) | 0.775614 | + | 1.34340i | 0.0249292 | + | 0.0431786i | ||||
\(969\) | 0.181624 | + | 0.0421065i | 0.00583460 | + | 0.00135265i | ||||
\(970\) | 0.985877 | − | 35.9264i | 0.0316546 | − | 1.15353i | ||||
\(971\) | −35.6294 | + | 25.8863i | −1.14340 | + | 0.830731i | −0.987590 | − | 0.157056i | \(-0.949800\pi\) |
−0.155813 | + | 0.987787i | \(0.549800\pi\) | |||||||
\(972\) | −0.200671 | − | 15.5872i | −0.00643652 | − | 0.499959i | ||||
\(973\) | 7.84052 | + | 24.1307i | 0.251356 | + | 0.773593i | ||||
\(974\) | −10.2009 | + | 17.6685i | −0.326858 | + | 0.566134i | ||||
\(975\) | 1.36293 | − | 7.57769i | 0.0436487 | − | 0.242680i | ||||
\(976\) | 1.99737 | + | 3.45955i | 0.0639344 | + | 0.110738i | ||||
\(977\) | −10.5095 | + | 11.6720i | −0.336230 | + | 0.373421i | −0.887422 | − | 0.460957i | \(-0.847506\pi\) |
0.551193 | + | 0.834378i | \(0.314173\pi\) | |||||||
\(978\) | 2.86343 | + | 5.17694i | 0.0915624 | + | 0.165540i | ||||
\(979\) | 1.26365 | + | 12.0228i | 0.0403864 | + | 0.384251i | ||||
\(980\) | −0.689115 | − | 3.74434i | −0.0220130 | − | 0.119609i | ||||
\(981\) | −38.5115 | + | 6.71790i | −1.22958 | + | 0.214486i | ||||
\(982\) | 7.27698 | 0.232218 | ||||||||
\(983\) | 35.4414 | − | 15.7795i | 1.13041 | − | 0.503289i | 0.245657 | − | 0.969357i | \(-0.420996\pi\) |
0.884749 | + | 0.466067i | \(0.154330\pi\) | |||||||
\(984\) | 10.2064 | − | 7.13268i | 0.325368 | − | 0.227382i | ||||
\(985\) | 1.27370 | − | 1.08508i | 0.0405834 | − | 0.0345735i | ||||
\(986\) | 0.452563 | − | 0.502622i | 0.0144125 | − | 0.0160067i | ||||
\(987\) | 34.2442 | − | 23.9313i | 1.09000 | − | 0.761742i | ||||
\(988\) | 0.446224 | + | 0.495582i | 0.0141963 | + | 0.0157666i | ||||
\(989\) | 12.3455 | + | 37.9957i | 0.392566 | + | 1.20819i | ||||
\(990\) | −3.44022 | − | 23.5153i | −0.109337 | − | 0.747366i | ||||
\(991\) | 15.7730 | − | 48.5443i | 0.501046 | − | 1.54206i | −0.306273 | − | 0.951944i | \(-0.599082\pi\) |
0.807318 | − | 0.590116i | \(-0.200918\pi\) | |||||||
\(992\) | −6.56541 | + | 2.92311i | −0.208452 | + | 0.0928089i | ||||
\(993\) | 0.722045 | − | 5.83639i | 0.0229134 | − | 0.185212i | ||||
\(994\) | −0.528591 | + | 5.02921i | −0.0167659 | + | 0.159517i | ||||
\(995\) | 20.4245 | − | 1.58166i | 0.647499 | − | 0.0501419i | ||||
\(996\) | 0.531453 | − | 0.882655i | 0.0168397 | − | 0.0279680i | ||||
\(997\) | 5.96746 | + | 56.7766i | 0.188991 | + | 1.79813i | 0.519646 | + | 0.854381i | \(0.326064\pi\) |
−0.330655 | + | 0.943752i | \(0.607270\pi\) | |||||||
\(998\) | −2.67765 | − | 8.24096i | −0.0847595 | − | 0.260863i | ||||
\(999\) | −17.9301 | + | 46.3285i | −0.567282 | + | 1.46577i |
(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 | 450.2.q.c.331.6 | yes | 120 | |
9.4 | even | 3 | inner | 450.2.q.c.31.2 | ✓ | 120 | |
25.21 | even | 5 | inner | 450.2.q.c.421.2 | yes | 120 | |
225.121 | even | 15 | inner | 450.2.q.c.121.6 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
450.2.q.c.31.2 | ✓ | 120 | 9.4 | even | 3 | inner | |
450.2.q.c.121.6 | yes | 120 | 225.121 | even | 15 | inner | |
450.2.q.c.331.6 | yes | 120 | 1.1 | even | 1 | trivial | |
450.2.q.c.421.2 | yes | 120 | 25.21 | even | 5 | inner |