Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [495,2,Mod(34,495)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(495, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 3, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("495.34");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 495 = 3^{2} \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 495.u (of order \(6\), degree \(2\), 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: | \(3.95259490005\) |
Analytic rank: | \(0\) |
Dimension: | \(52\) |
Relative dimension: | \(26\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 364.6 | ||
Character | \(\chi\) | \(=\) | 495.364 |
Dual form | 495.2.u.a.34.6 |
$q$-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 \(\left(\mathbb{Z}/495\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) | \(397\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.32180 | + | 0.763144i | −0.934657 | + | 0.539624i | −0.888281 | − | 0.459300i | \(-0.848100\pi\) |
−0.0463756 | + | 0.998924i | \(0.514767\pi\) | |||||||
\(3\) | −0.144418 | − | 1.72602i | −0.0833797 | − | 0.996518i | ||||
\(4\) | 0.164778 | − | 0.285404i | 0.0823892 | − | 0.142702i | ||||
\(5\) | 2.06762 | + | 0.851443i | 0.924667 | + | 0.380777i | ||||
\(6\) | 1.50809 | + | 2.17125i | 0.615677 | + | 0.886409i | ||||
\(7\) | 3.72773 | − | 2.15221i | 1.40895 | − | 0.813457i | 0.413662 | − | 0.910431i | \(-0.364250\pi\) |
0.995287 | + | 0.0969734i | \(0.0309162\pi\) | |||||||
\(8\) | − | 2.54958i | − | 0.901412i | ||||||
\(9\) | −2.95829 | + | 0.498536i | −0.986096 | + | 0.166179i | ||||
\(10\) | −3.38276 | + | 0.452450i | −1.06972 | + | 0.143077i | ||||
\(11\) | −0.500000 | − | 0.866025i | −0.150756 | − | 0.261116i | ||||
\(12\) | −0.516411 | − | 0.243193i | −0.149075 | − | 0.0702038i | ||||
\(13\) | 2.08585 | + | 1.20426i | 0.578510 | + | 0.334003i | 0.760541 | − | 0.649290i | \(-0.224934\pi\) |
−0.182031 | + | 0.983293i | \(0.558267\pi\) | |||||||
\(14\) | −3.28489 | + | 5.68959i | −0.877923 | + | 1.52061i | ||||
\(15\) | 1.17101 | − | 3.69171i | 0.302352 | − | 0.953196i | ||||
\(16\) | 2.27525 | + | 3.94085i | 0.568813 | + | 0.985213i | ||||
\(17\) | − | 0.975056i | − | 0.236486i | −0.992985 | − | 0.118243i | \(-0.962274\pi\) | ||
0.992985 | − | 0.118243i | \(-0.0377261\pi\) | |||||||
\(18\) | 3.52982 | − | 2.91657i | 0.831987 | − | 0.687441i | ||||
\(19\) | −1.61782 | −0.371154 | −0.185577 | − | 0.982630i | \(-0.559415\pi\) | ||||
−0.185577 | + | 0.982630i | \(0.559415\pi\) | |||||||
\(20\) | 0.583704 | − | 0.449808i | 0.130520 | − | 0.100580i | ||||
\(21\) | −4.25310 | − | 6.12332i | −0.928102 | − | 1.33622i | ||||
\(22\) | 1.32180 | + | 0.763144i | 0.281810 | + | 0.162703i | ||||
\(23\) | −5.95108 | − | 3.43586i | −1.24089 | − | 0.716426i | −0.271612 | − | 0.962407i | \(-0.587557\pi\) |
−0.969275 | + | 0.245981i | \(0.920890\pi\) | |||||||
\(24\) | −4.40062 | + | 0.368205i | −0.898273 | + | 0.0751595i | ||||
\(25\) | 3.55009 | + | 3.52092i | 0.710018 | + | 0.704183i | ||||
\(26\) | −3.67611 | −0.720944 | ||||||||
\(27\) | 1.28771 | + | 5.03406i | 0.247820 | + | 0.968806i | ||||
\(28\) | − | 1.41855i | − | 0.268080i | ||||||
\(29\) | 2.29024 | + | 3.96681i | 0.425286 | + | 0.736617i | 0.996447 | − | 0.0842208i | \(-0.0268401\pi\) |
−0.571161 | + | 0.820838i | \(0.693507\pi\) | |||||||
\(30\) | 1.26947 | + | 5.77337i | 0.231772 | + | 1.05407i | ||||
\(31\) | 4.81902 | − | 8.34679i | 0.865522 | − | 1.49913i | −0.00100620 | − | 0.999999i | \(-0.500320\pi\) |
0.866528 | − | 0.499128i | \(-0.166346\pi\) | |||||||
\(32\) | −1.59888 | − | 0.923114i | −0.282645 | − | 0.163185i | ||||
\(33\) | −1.42257 | + | 0.988079i | −0.247637 | + | 0.172003i | ||||
\(34\) | 0.744108 | + | 1.28883i | 0.127613 | + | 0.221033i | ||||
\(35\) | 9.54000 | − | 1.27599i | 1.61255 | − | 0.215682i | ||||
\(36\) | −0.345177 | + | 0.926456i | −0.0575295 | + | 0.154409i | ||||
\(37\) | − | 6.88755i | − | 1.13231i | −0.824300 | − | 0.566153i | \(-0.808431\pi\) | ||
0.824300 | − | 0.566153i | \(-0.191569\pi\) | |||||||
\(38\) | 2.13845 | − | 1.23463i | 0.346902 | − | 0.200284i | ||||
\(39\) | 1.77735 | − | 3.77413i | 0.284604 | − | 0.604344i | ||||
\(40\) | 2.17082 | − | 5.27156i | 0.343237 | − | 0.833506i | ||||
\(41\) | −2.71245 | + | 4.69810i | −0.423613 | + | 0.733720i | −0.996290 | − | 0.0860618i | \(-0.972572\pi\) |
0.572677 | + | 0.819781i | \(0.305905\pi\) | |||||||
\(42\) | 10.2947 | + | 4.84810i | 1.58851 | + | 0.748078i | ||||
\(43\) | 5.45113 | − | 3.14721i | 0.831290 | − | 0.479945i | −0.0230043 | − | 0.999735i | \(-0.507323\pi\) |
0.854294 | + | 0.519790i | \(0.173990\pi\) | |||||||
\(44\) | −0.329557 | −0.0496825 | ||||||||
\(45\) | −6.54108 | − | 1.48803i | −0.975087 | − | 0.221822i | ||||
\(46\) | 10.4882 | 1.54640 | ||||||||
\(47\) | 4.78238 | − | 2.76111i | 0.697581 | − | 0.402749i | −0.108865 | − | 0.994057i | \(-0.534722\pi\) |
0.806446 | + | 0.591308i | \(0.201388\pi\) | |||||||
\(48\) | 6.47340 | − | 4.49626i | 0.934355 | − | 0.648979i | ||||
\(49\) | 5.76397 | − | 9.98350i | 0.823425 | − | 1.42621i | ||||
\(50\) | −7.37949 | − | 1.94473i | −1.04362 | − | 0.275027i | ||||
\(51\) | −1.68296 | + | 0.140815i | −0.235662 | + | 0.0197181i | ||||
\(52\) | 0.687405 | − | 0.396873i | 0.0953259 | − | 0.0550364i | ||||
\(53\) | − | 5.92144i | − | 0.813372i | −0.913568 | − | 0.406686i | \(-0.866684\pi\) | ||
0.913568 | − | 0.406686i | \(-0.133316\pi\) | |||||||
\(54\) | −5.54382 | − | 5.67134i | −0.754419 | − | 0.771771i | ||||
\(55\) | −0.296438 | − | 2.21633i | −0.0399717 | − | 0.298850i | ||||
\(56\) | −5.48722 | − | 9.50414i | −0.733260 | − | 1.27004i | ||||
\(57\) | 0.233643 | + | 2.79239i | 0.0309467 | + | 0.369862i | ||||
\(58\) | −6.05449 | − | 3.49556i | −0.794993 | − | 0.458990i | ||||
\(59\) | 1.92108 | − | 3.32741i | 0.250103 | − | 0.433192i | −0.713451 | − | 0.700705i | \(-0.752869\pi\) |
0.963554 | + | 0.267514i | \(0.0862021\pi\) | |||||||
\(60\) | −0.860675 | − | 0.942525i | −0.111113 | − | 0.121679i | ||||
\(61\) | 4.71499 | + | 8.16660i | 0.603692 | + | 1.04563i | 0.992257 | + | 0.124204i | \(0.0396378\pi\) |
−0.388564 | + | 0.921422i | \(0.627029\pi\) | |||||||
\(62\) | 14.7104i | 1.86823i | ||||||||
\(63\) | −9.95474 | + | 8.22525i | −1.25418 | + | 1.03628i | ||||
\(64\) | −6.28314 | −0.785392 | ||||||||
\(65\) | 3.28737 | + | 4.26594i | 0.407748 | + | 0.529124i | ||||
\(66\) | 1.12631 | − | 2.39167i | 0.138639 | − | 0.294395i | ||||
\(67\) | 10.0414 | + | 5.79738i | 1.22675 | + | 0.708263i | 0.966348 | − | 0.257239i | \(-0.0828126\pi\) |
0.260399 | + | 0.965501i | \(0.416146\pi\) | |||||||
\(68\) | −0.278285 | − | 0.160668i | −0.0337470 | − | 0.0194839i | ||||
\(69\) | −5.07092 | + | 10.7679i | −0.610467 | + | 1.29630i | ||||
\(70\) | −11.6362 | + | 8.96701i | −1.39080 | + | 1.07176i | ||||
\(71\) | −4.77737 | −0.566969 | −0.283485 | − | 0.958977i | \(-0.591491\pi\) | ||||
−0.283485 | + | 0.958977i | \(0.591491\pi\) | |||||||
\(72\) | 1.27106 | + | 7.54238i | 0.149796 | + | 0.888879i | ||||
\(73\) | 3.30736i | 0.387097i | 0.981091 | + | 0.193549i | \(0.0619997\pi\) | ||||
−0.981091 | + | 0.193549i | \(0.938000\pi\) | |||||||
\(74\) | 5.25619 | + | 9.10399i | 0.611020 | + | 1.05832i | ||||
\(75\) | 5.56447 | − | 6.63601i | 0.642530 | − | 0.766260i | ||||
\(76\) | −0.266582 | + | 0.461734i | −0.0305791 | + | 0.0529645i | ||||
\(77\) | −3.72773 | − | 2.15221i | −0.424814 | − | 0.245267i | ||||
\(78\) | 0.530896 | + | 6.34504i | 0.0601121 | + | 0.718434i | ||||
\(79\) | −1.22749 | − | 2.12608i | −0.138104 | − | 0.239203i | 0.788675 | − | 0.614810i | \(-0.210767\pi\) |
−0.926779 | + | 0.375607i | \(0.877434\pi\) | |||||||
\(80\) | 1.34894 | + | 10.0854i | 0.150817 | + | 1.12759i | ||||
\(81\) | 8.50292 | − | 2.94963i | 0.944769 | − | 0.327736i | ||||
\(82\) | − | 8.27996i | − | 0.914368i | ||||||
\(83\) | −11.4287 | + | 6.59836i | −1.25446 | + | 0.724264i | −0.971992 | − | 0.235012i | \(-0.924487\pi\) |
−0.282470 | + | 0.959276i | \(0.591154\pi\) | |||||||
\(84\) | −2.44844 | + | 0.204864i | −0.267147 | + | 0.0223525i | ||||
\(85\) | 0.830204 | − | 2.01604i | 0.0900482 | − | 0.218671i | ||||
\(86\) | −4.80355 | + | 8.32000i | −0.517981 | + | 0.897169i | ||||
\(87\) | 6.51603 | − | 4.52587i | 0.698592 | − | 0.485224i | ||||
\(88\) | −2.20800 | + | 1.27479i | −0.235374 | + | 0.135893i | ||||
\(89\) | −7.13662 | −0.756480 | −0.378240 | − | 0.925708i | \(-0.623471\pi\) | ||||
−0.378240 | + | 0.925708i | \(0.623471\pi\) | |||||||
\(90\) | 9.78161 | − | 3.02491i | 1.03107 | − | 0.318853i | ||||
\(91\) | 10.3673 | 1.08679 | ||||||||
\(92\) | −1.96122 | + | 1.13231i | −0.204471 | + | 0.118052i | ||||
\(93\) | −15.1027 | − | 7.11230i | −1.56607 | − | 0.737511i | ||||
\(94\) | −4.21424 | + | 7.29929i | −0.434666 | + | 0.752864i | ||||
\(95\) | −3.34504 | − | 1.37748i | −0.343194 | − | 0.141327i | ||||
\(96\) | −1.36241 | + | 2.89301i | −0.139050 | + | 0.295267i | ||||
\(97\) | −7.15690 | + | 4.13204i | −0.726673 | + | 0.419545i | −0.817204 | − | 0.576349i | \(-0.804477\pi\) |
0.0905307 | + | 0.995894i | \(0.471144\pi\) | |||||||
\(98\) | 17.5950i | 1.77736i | ||||||||
\(99\) | 1.91089 | + | 2.31268i | 0.192052 | + | 0.232433i | ||||
\(100\) | 1.58986 | − | 0.433041i | 0.158986 | − | 0.0433041i | ||||
\(101\) | 7.56000 | + | 13.0943i | 0.752248 | + | 1.30293i | 0.946731 | + | 0.322026i | \(0.104364\pi\) |
−0.194483 | + | 0.980906i | \(0.562303\pi\) | |||||||
\(102\) | 2.11709 | − | 1.47048i | 0.209623 | − | 0.145599i | ||||
\(103\) | −9.83884 | − | 5.68045i | −0.969449 | − | 0.559712i | −0.0703810 | − | 0.997520i | \(-0.522422\pi\) |
−0.899068 | + | 0.437808i | \(0.855755\pi\) | |||||||
\(104\) | 3.07037 | − | 5.31803i | 0.301074 | − | 0.521476i | ||||
\(105\) | −3.58013 | − | 16.2819i | −0.349385 | − | 1.58896i | ||||
\(106\) | 4.51891 | + | 7.82699i | 0.438916 | + | 0.760224i | ||||
\(107\) | − | 11.9110i | − | 1.15148i | −0.817633 | − | 0.575739i | \(-0.804714\pi\) | ||
0.817633 | − | 0.575739i | \(-0.195286\pi\) | |||||||
\(108\) | 1.64893 | + | 0.461986i | 0.158668 | + | 0.0444546i | ||||
\(109\) | −10.5178 | −1.00743 | −0.503714 | − | 0.863871i | \(-0.668033\pi\) | ||||
−0.503714 | + | 0.863871i | \(0.668033\pi\) | |||||||
\(110\) | 2.08321 | + | 2.70333i | 0.198627 | + | 0.257753i | ||||
\(111\) | −11.8880 | + | 0.994685i | −1.12836 | + | 0.0944113i | ||||
\(112\) | 16.9631 | + | 9.79362i | 1.60286 | + | 0.925410i | ||||
\(113\) | 9.65059 | + | 5.57177i | 0.907851 | + | 0.524148i | 0.879739 | − | 0.475457i | \(-0.157717\pi\) |
0.0281121 | + | 0.999605i | \(0.491050\pi\) | |||||||
\(114\) | −2.43983 | − | 3.51270i | −0.228511 | − | 0.328994i | ||||
\(115\) | −9.37913 | − | 12.1711i | −0.874609 | − | 1.13496i | ||||
\(116\) | 1.50953 | 0.140156 | ||||||||
\(117\) | −6.77090 | − | 2.52269i | −0.625970 | − | 0.233223i | ||||
\(118\) | 5.86424i | 0.539847i | ||||||||
\(119\) | −2.09852 | − | 3.63474i | −0.192371 | − | 0.333196i | ||||
\(120\) | −9.41231 | − | 2.98557i | −0.859223 | − | 0.272544i | ||||
\(121\) | −0.500000 | + | 0.866025i | −0.0454545 | + | 0.0787296i | ||||
\(122\) | −12.4646 | − | 7.19643i | −1.12849 | − | 0.651534i | ||||
\(123\) | 8.50073 | + | 4.00325i | 0.766485 | + | 0.360961i | ||||
\(124\) | −1.58814 | − | 2.75074i | −0.142619 | − | 0.247024i | ||||
\(125\) | 4.34238 | + | 10.3026i | 0.388394 | + | 0.921493i | ||||
\(126\) | 6.88117 | − | 18.4691i | 0.613023 | − | 1.64536i | ||||
\(127\) | 18.0905i | 1.60528i | 0.596466 | + | 0.802638i | \(0.296571\pi\) | ||||
−0.596466 | + | 0.802638i | \(0.703429\pi\) | |||||||
\(128\) | 11.5028 | − | 6.64117i | 1.01672 | − | 0.587002i | ||||
\(129\) | −6.21939 | − | 8.95425i | −0.547587 | − | 0.788377i | ||||
\(130\) | −7.60079 | − | 3.13000i | −0.666633 | − | 0.274519i | ||||
\(131\) | −0.161342 | + | 0.279453i | −0.0140965 | + | 0.0244159i | −0.872988 | − | 0.487742i | \(-0.837821\pi\) |
0.858891 | + | 0.512158i | \(0.171154\pi\) | |||||||
\(132\) | 0.0475939 | + | 0.568821i | 0.00414252 | + | 0.0495095i | ||||
\(133\) | −6.03081 | + | 3.48189i | −0.522937 | + | 0.301918i | ||||
\(134\) | −17.6969 | −1.52878 | ||||||||
\(135\) | −1.62372 | + | 11.5049i | −0.139747 | + | 0.990187i | ||||
\(136\) | −2.48598 | −0.213171 | ||||||||
\(137\) | 1.48548 | − | 0.857643i | 0.126913 | − | 0.0732734i | −0.435199 | − | 0.900334i | \(-0.643322\pi\) |
0.562113 | + | 0.827061i | \(0.309989\pi\) | |||||||
\(138\) | −1.51469 | − | 18.1029i | −0.128939 | − | 1.54102i | ||||
\(139\) | 2.54182 | − | 4.40255i | 0.215594 | − | 0.373420i | −0.737862 | − | 0.674951i | \(-0.764165\pi\) |
0.953456 | + | 0.301532i | \(0.0974979\pi\) | |||||||
\(140\) | 1.20781 | − | 2.93301i | 0.102079 | − | 0.247885i | ||||
\(141\) | −5.45638 | − | 7.85572i | −0.459510 | − | 0.661571i | ||||
\(142\) | 6.31475 | − | 3.64582i | 0.529922 | − | 0.305951i | ||||
\(143\) | − | 2.40853i | − | 0.201411i | ||||||
\(144\) | −8.69551 | − | 10.5239i | −0.724626 | − | 0.876990i | ||||
\(145\) | 1.35783 | + | 10.1518i | 0.112761 | + | 0.843065i | ||||
\(146\) | −2.52399 | − | 4.37168i | −0.208887 | − | 0.361803i | ||||
\(147\) | −18.0641 | − | 8.50694i | −1.48990 | − | 0.701640i | ||||
\(148\) | −1.96574 | − | 1.13492i | −0.161583 | − | 0.0932897i | ||||
\(149\) | −3.77090 | + | 6.53139i | −0.308924 | + | 0.535072i | −0.978127 | − | 0.208007i | \(-0.933302\pi\) |
0.669203 | + | 0.743079i | \(0.266636\pi\) | |||||||
\(150\) | −2.29091 | + | 13.0180i | −0.187052 | + | 1.06292i | ||||
\(151\) | 4.01226 | + | 6.94944i | 0.326513 | + | 0.565537i | 0.981817 | − | 0.189828i | \(-0.0607929\pi\) |
−0.655304 | + | 0.755365i | \(0.727460\pi\) | |||||||
\(152\) | 4.12477i | 0.334563i | ||||||||
\(153\) | 0.486100 | + | 2.88449i | 0.0392989 | + | 0.233198i | ||||
\(154\) | 6.56977 | 0.529407 | ||||||||
\(155\) | 17.0707 | − | 13.1549i | 1.37115 | − | 1.05662i | ||||
\(156\) | −0.784285 | − | 1.12916i | −0.0627930 | − | 0.0904050i | ||||
\(157\) | −15.2413 | − | 8.79959i | −1.21639 | − | 0.702284i | −0.252248 | − | 0.967663i | \(-0.581170\pi\) |
−0.964144 | + | 0.265379i | \(0.914503\pi\) | |||||||
\(158\) | 3.24502 | + | 1.87351i | 0.258160 | + | 0.149048i | ||||
\(159\) | −10.2205 | + | 0.855162i | −0.810540 | + | 0.0678187i | ||||
\(160\) | −2.51990 | − | 3.27000i | −0.199215 | − | 0.258516i | ||||
\(161\) | −29.5787 | −2.33113 | ||||||||
\(162\) | −8.98821 | + | 10.3878i | −0.706181 | + | 0.816142i | ||||
\(163\) | 22.7004i | 1.77804i | 0.457872 | + | 0.889018i | \(0.348612\pi\) | ||||
−0.457872 | + | 0.889018i | \(0.651388\pi\) | |||||||
\(164\) | 0.893905 | + | 1.54829i | 0.0698023 | + | 0.120901i | ||||
\(165\) | −3.78262 | + | 0.831736i | −0.294477 | + | 0.0647506i | ||||
\(166\) | 10.0710 | − | 17.4435i | 0.781661 | − | 1.35388i | ||||
\(167\) | 1.22950 | + | 0.709853i | 0.0951416 | + | 0.0549301i | 0.546816 | − | 0.837253i | \(-0.315840\pi\) |
−0.451674 | + | 0.892183i | \(0.649173\pi\) | |||||||
\(168\) | −15.6119 | + | 10.8436i | −1.20448 | + | 0.836603i | ||||
\(169\) | −3.59950 | − | 6.23451i | −0.276884 | − | 0.479578i | ||||
\(170\) | 0.441164 | + | 3.29838i | 0.0338357 | + | 0.252974i | ||||
\(171\) | 4.78599 | − | 0.806544i | 0.365994 | − | 0.0616779i | ||||
\(172\) | − | 2.07437i | − | 0.158169i | ||||||
\(173\) | 16.9464 | − | 9.78398i | 1.28841 | − | 0.743863i | 0.310038 | − | 0.950724i | \(-0.399658\pi\) |
0.978370 | + | 0.206862i | \(0.0663250\pi\) | |||||||
\(174\) | −5.15903 | + | 10.9550i | −0.391105 | + | 0.830496i | ||||
\(175\) | 20.8115 | + | 5.48450i | 1.57320 | + | 0.414589i | ||||
\(176\) | 2.27525 | − | 3.94085i | 0.171504 | − | 0.297053i | ||||
\(177\) | −6.02061 | − | 2.83528i | −0.452537 | − | 0.213113i | ||||
\(178\) | 9.43321 | − | 5.44627i | 0.707049 | − | 0.408215i | ||||
\(179\) | 9.44959 | 0.706296 | 0.353148 | − | 0.935568i | \(-0.385111\pi\) | ||||
0.353148 | + | 0.935568i | \(0.385111\pi\) | |||||||
\(180\) | −1.50252 | + | 1.62166i | −0.111991 | + | 0.120871i | ||||
\(181\) | −15.5981 | −1.15939 | −0.579697 | − | 0.814832i | \(-0.696829\pi\) | ||||
−0.579697 | + | 0.814832i | \(0.696829\pi\) | |||||||
\(182\) | −13.7035 | + | 7.91174i | −1.01577 | + | 0.586457i | ||||
\(183\) | 13.4148 | − | 9.31757i | 0.991649 | − | 0.688774i | ||||
\(184\) | −8.75999 | + | 15.1728i | −0.645795 | + | 1.11855i | ||||
\(185\) | 5.86435 | − | 14.2408i | 0.431156 | − | 1.04701i | ||||
\(186\) | 25.3905 | − | 2.12445i | 1.86172 | − | 0.155772i | ||||
\(187\) | −0.844423 | + | 0.487528i | −0.0617503 | + | 0.0356516i | ||||
\(188\) | − | 1.81988i | − | 0.132729i | ||||||
\(189\) | 15.6346 | + | 15.9942i | 1.13725 | + | 1.16341i | ||||
\(190\) | 5.47271 | − | 0.731985i | 0.397032 | − | 0.0531038i | ||||
\(191\) | 10.1233 | + | 17.5340i | 0.732494 | + | 1.26872i | 0.955814 | + | 0.293972i | \(0.0949772\pi\) |
−0.223320 | + | 0.974745i | \(0.571689\pi\) | |||||||
\(192\) | 0.907397 | + | 10.8448i | 0.0654858 | + | 0.782657i | ||||
\(193\) | −4.24223 | − | 2.44925i | −0.305362 | − | 0.176301i | 0.339487 | − | 0.940611i | \(-0.389747\pi\) |
−0.644849 | + | 0.764310i | \(0.723080\pi\) | |||||||
\(194\) | 6.30668 | − | 10.9235i | 0.452793 | − | 0.784261i | ||||
\(195\) | 6.88834 | − | 6.29015i | 0.493284 | − | 0.450447i | ||||
\(196\) | −1.89956 | − | 3.29013i | −0.135683 | − | 0.235009i | ||||
\(197\) | − | 17.7849i | − | 1.26712i | −0.773692 | − | 0.633562i | \(-0.781592\pi\) | ||
0.773692 | − | 0.633562i | \(-0.218408\pi\) | |||||||
\(198\) | −4.29073 | − | 1.59863i | −0.304929 | − | 0.113610i | ||||
\(199\) | −5.26851 | −0.373475 | −0.186737 | − | 0.982410i | \(-0.559791\pi\) | ||||
−0.186737 | + | 0.982410i | \(0.559791\pi\) | |||||||
\(200\) | 8.97685 | − | 9.05124i | 0.634759 | − | 0.640019i | ||||
\(201\) | 8.55624 | − | 18.1688i | 0.603510 | − | 1.28153i | ||||
\(202\) | −19.9857 | − | 11.5387i | −1.40619 | − | 0.811863i | ||||
\(203\) | 17.0748 | + | 9.85812i | 1.19841 | + | 0.691904i | ||||
\(204\) | −0.237127 | + | 0.503529i | −0.0166022 | + | 0.0352541i | ||||
\(205\) | −9.60847 | + | 7.40438i | −0.671084 | + | 0.517144i | ||||
\(206\) | 17.3400 | 1.20814 | ||||||||
\(207\) | 19.3179 | + | 7.19743i | 1.34269 | + | 0.500256i | ||||
\(208\) | 10.9600i | 0.759941i | ||||||||
\(209\) | 0.808912 | + | 1.40108i | 0.0559536 | + | 0.0969145i | ||||
\(210\) | 17.1577 | + | 18.7894i | 1.18399 | + | 1.29659i | ||||
\(211\) | −8.69214 | + | 15.0552i | −0.598392 | + | 1.03644i | 0.394667 | + | 0.918824i | \(0.370860\pi\) |
−0.993059 | + | 0.117620i | \(0.962473\pi\) | |||||||
\(212\) | −1.69001 | − | 0.975725i | −0.116070 | − | 0.0670131i | ||||
\(213\) | 0.689938 | + | 8.24583i | 0.0472737 | + | 0.564995i | ||||
\(214\) | 9.08980 | + | 15.7440i | 0.621366 | + | 1.07624i | ||||
\(215\) | 13.9505 | − | 1.86591i | 0.951418 | − | 0.127254i | ||||
\(216\) | 12.8347 | − | 3.28313i | 0.873293 | − | 0.223388i | ||||
\(217\) | − | 41.4861i | − | 2.81626i | ||||||
\(218\) | 13.9025 | − | 8.02664i | 0.941599 | − | 0.543632i | ||||
\(219\) | 5.70857 | − | 0.477642i | 0.385749 | − | 0.0322761i | ||||
\(220\) | −0.681397 | − | 0.280599i | −0.0459398 | − | 0.0189180i | ||||
\(221\) | 1.17422 | − | 2.03382i | 0.0789869 | − | 0.136809i | ||||
\(222\) | 14.9546 | − | 10.3871i | 1.00369 | − | 0.697134i | ||||
\(223\) | −3.87590 | + | 2.23775i | −0.259550 | + | 0.149851i | −0.624129 | − | 0.781321i | \(-0.714546\pi\) |
0.364579 | + | 0.931172i | \(0.381213\pi\) | |||||||
\(224\) | −7.94692 | −0.530976 | ||||||||
\(225\) | −12.2575 | − | 8.64603i | −0.817166 | − | 0.576402i | ||||
\(226\) | −17.0083 | −1.13137 | ||||||||
\(227\) | −4.21272 | + | 2.43222i | −0.279608 | + | 0.161432i | −0.633246 | − | 0.773951i | \(-0.718278\pi\) |
0.353638 | + | 0.935382i | \(0.384945\pi\) | |||||||
\(228\) | 0.835461 | + | 0.393444i | 0.0553298 | + | 0.0260564i | ||||
\(229\) | −8.49335 | + | 14.7109i | −0.561256 | + | 0.972124i | 0.436131 | + | 0.899883i | \(0.356348\pi\) |
−0.997387 | + | 0.0722412i | \(0.976985\pi\) | |||||||
\(230\) | 21.6856 | + | 8.93012i | 1.42991 | + | 0.588835i | ||||
\(231\) | −3.17640 | + | 6.74495i | −0.208992 | + | 0.443785i | ||||
\(232\) | 10.1137 | − | 5.83914i | 0.663996 | − | 0.383358i | ||||
\(233\) | 10.7511i | 0.704329i | 0.935938 | + | 0.352165i | \(0.114554\pi\) | ||||
−0.935938 | + | 0.352165i | \(0.885446\pi\) | |||||||
\(234\) | 10.8750 | − | 1.83267i | 0.710920 | − | 0.119806i | ||||
\(235\) | 12.2391 | − | 1.63699i | 0.798388 | − | 0.106786i | ||||
\(236\) | −0.633105 | − | 1.09657i | −0.0412116 | − | 0.0713806i | ||||
\(237\) | −3.49239 | + | 2.42572i | −0.226855 | + | 0.157568i | ||||
\(238\) | 5.54767 | + | 3.20295i | 0.359602 | + | 0.207616i | ||||
\(239\) | −6.03693 | + | 10.4563i | −0.390497 | + | 0.676360i | −0.992515 | − | 0.122122i | \(-0.961030\pi\) |
0.602018 | + | 0.798482i | \(0.294363\pi\) | |||||||
\(240\) | 17.2128 | − | 3.78482i | 1.11108 | − | 0.244309i | ||||
\(241\) | 10.1570 | + | 17.5925i | 0.654272 | + | 1.13323i | 0.982076 | + | 0.188486i | \(0.0603580\pi\) |
−0.327804 | + | 0.944746i | \(0.606309\pi\) | |||||||
\(242\) | − | 1.52629i | − | 0.0981135i | ||||||
\(243\) | −6.31909 | − | 14.2502i | −0.405370 | − | 0.914153i | ||||
\(244\) | 3.10771 | 0.198951 | ||||||||
\(245\) | 20.4181 | − | 15.7344i | 1.30446 | − | 1.00523i | ||||
\(246\) | −14.2914 | + | 1.19577i | −0.911184 | + | 0.0762398i | ||||
\(247\) | −3.37453 | − | 1.94829i | −0.214716 | − | 0.123967i | ||||
\(248\) | −21.2808 | − | 12.2865i | −1.35133 | − | 0.780192i | ||||
\(249\) | 13.0394 | + | 18.7732i | 0.826339 | + | 1.18970i | ||||
\(250\) | −13.6021 | − | 10.3042i | −0.860275 | − | 0.651694i | ||||
\(251\) | 22.2945 | 1.40722 | 0.703609 | − | 0.710587i | \(-0.251571\pi\) | ||||
0.703609 | + | 0.710587i | \(0.251571\pi\) | |||||||
\(252\) | 0.707197 | + | 4.19647i | 0.0445492 | + | 0.264353i | ||||
\(253\) | 6.87172i | 0.432021i | ||||||||
\(254\) | −13.8057 | − | 23.9122i | −0.866246 | − | 1.50038i | ||||
\(255\) | −3.59963 | − | 1.14180i | −0.225417 | − | 0.0715020i | ||||
\(256\) | −3.85320 | + | 6.67394i | −0.240825 | + | 0.417121i | ||||
\(257\) | −24.4639 | − | 14.1242i | −1.52602 | − | 0.881045i | −0.999524 | − | 0.0308651i | \(-0.990174\pi\) |
−0.526492 | − | 0.850180i | \(-0.676493\pi\) | |||||||
\(258\) | 15.0542 | + | 7.08947i | 0.937234 | + | 0.441371i | ||||
\(259\) | −14.8234 | − | 25.6749i | −0.921082 | − | 1.59536i | ||||
\(260\) | 1.75921 | − | 0.235297i | 0.109101 | − | 0.0145925i | ||||
\(261\) | −8.75277 | − | 10.5932i | −0.541783 | − | 0.655702i | ||||
\(262\) | − | 0.492510i | − | 0.0304274i | ||||||
\(263\) | −18.5662 | + | 10.7192i | −1.14484 | + | 0.660974i | −0.947625 | − | 0.319385i | \(-0.896524\pi\) |
−0.197217 | + | 0.980360i | \(0.563190\pi\) | |||||||
\(264\) | 2.51919 | + | 3.62695i | 0.155045 | + | 0.223223i | ||||
\(265\) | 5.04177 | − | 12.2433i | 0.309713 | − | 0.752098i | ||||
\(266\) | 5.31437 | − | 9.20475i | 0.325845 | − | 0.564380i | ||||
\(267\) | 1.03066 | + | 12.3179i | 0.0630751 | + | 0.753846i | ||||
\(268\) | 3.30920 | − | 1.91056i | 0.202141 | − | 0.116706i | ||||
\(269\) | 7.02339 | 0.428224 | 0.214112 | − | 0.976809i | \(-0.431314\pi\) | ||||
0.214112 | + | 0.976809i | \(0.431314\pi\) | |||||||
\(270\) | −6.63369 | − | 16.4464i | −0.403713 | − | 1.00090i | ||||
\(271\) | −6.81758 | −0.414139 | −0.207069 | − | 0.978326i | \(-0.566393\pi\) | ||||
−0.207069 | + | 0.978326i | \(0.566393\pi\) | |||||||
\(272\) | 3.84255 | − | 2.21850i | 0.232989 | − | 0.134516i | ||||
\(273\) | −1.49722 | − | 17.8942i | −0.0906160 | − | 1.08300i | ||||
\(274\) | −1.30901 | + | 2.26727i | −0.0790802 | + | 0.136971i | ||||
\(275\) | 1.27416 | − | 4.83493i | 0.0768346 | − | 0.291557i | ||||
\(276\) | 2.23763 | + | 3.22158i | 0.134689 | + | 0.193916i | ||||
\(277\) | −5.65468 | + | 3.26473i | −0.339757 | + | 0.196159i | −0.660164 | − | 0.751121i | \(-0.729513\pi\) |
0.320408 | + | 0.947280i | \(0.396180\pi\) | |||||||
\(278\) | 7.75909i | 0.465359i | ||||||||
\(279\) | −10.0949 | + | 27.0947i | −0.604364 | + | 1.62211i | ||||
\(280\) | −3.25324 | − | 24.3230i | −0.194418 | − | 1.45358i | ||||
\(281\) | 8.27137 | + | 14.3264i | 0.493429 | + | 0.854644i | 0.999971 | − | 0.00757128i | \(-0.00241004\pi\) |
−0.506543 | + | 0.862215i | \(0.669077\pi\) | |||||||
\(282\) | 13.2073 | + | 6.21972i | 0.786485 | + | 0.370379i | ||||
\(283\) | 12.7013 | + | 7.33310i | 0.755014 | + | 0.435908i | 0.827503 | − | 0.561462i | \(-0.189761\pi\) |
−0.0724887 | + | 0.997369i | \(0.523094\pi\) | |||||||
\(284\) | −0.787207 | + | 1.36348i | −0.0467121 | + | 0.0809078i | ||||
\(285\) | −1.89448 | + | 5.97254i | −0.112219 | + | 0.353783i | ||||
\(286\) | 1.83805 | + | 3.18360i | 0.108686 | + | 0.188250i | ||||
\(287\) | 23.3510i | 1.37836i | ||||||||
\(288\) | 5.19015 | + | 1.93374i | 0.305833 | + | 0.113946i | ||||
\(289\) | 16.0493 | 0.944075 | ||||||||
\(290\) | −9.54210 | − | 12.3825i | −0.560332 | − | 0.727128i | ||||
\(291\) | 8.16556 | + | 11.7562i | 0.478674 | + | 0.689161i | ||||
\(292\) | 0.943935 | + | 0.544981i | 0.0552396 | + | 0.0318926i | ||||
\(293\) | 10.1627 | + | 5.86744i | 0.593712 | + | 0.342780i | 0.766564 | − | 0.642168i | \(-0.221965\pi\) |
−0.172852 | + | 0.984948i | \(0.555298\pi\) | |||||||
\(294\) | 30.3693 | − | 2.54103i | 1.77117 | − | 0.148196i | ||||
\(295\) | 6.80516 | − | 5.24412i | 0.396211 | − | 0.305324i | ||||
\(296\) | −17.5603 | −1.02067 | ||||||||
\(297\) | 3.71577 | − | 3.63222i | 0.215611 | − | 0.210763i | ||||
\(298\) | − | 11.5110i | − | 0.666812i | ||||||
\(299\) | −8.27536 | − | 14.3334i | −0.478577 | − | 0.828919i | ||||
\(300\) | −0.977042 | − | 2.68160i | −0.0564095 | − | 0.154822i | ||||
\(301\) | 13.5469 | − | 23.4639i | 0.780830 | − | 1.35244i | ||||
\(302\) | −10.6068 | − | 6.12387i | −0.610356 | − | 0.352389i | ||||
\(303\) | 21.5092 | − | 14.9398i | 1.23567 | − | 0.858266i | ||||
\(304\) | −3.68096 | − | 6.37561i | −0.211117 | − | 0.365666i | ||||
\(305\) | 2.79541 | + | 20.9000i | 0.160064 | + | 1.19673i | ||||
\(306\) | −2.84381 | − | 3.44177i | −0.162570 | − | 0.196753i | ||||
\(307\) | − | 21.0883i | − | 1.20357i | −0.798656 | − | 0.601787i | \(-0.794456\pi\) | ||
0.798656 | − | 0.601787i | \(-0.205544\pi\) | |||||||
\(308\) | −1.22850 | + | 0.709274i | −0.0700002 | + | 0.0404146i | ||||
\(309\) | −8.38367 | + | 17.8024i | −0.476930 | + | 1.01274i | ||||
\(310\) | −12.5251 | + | 30.4156i | −0.711377 | + | 1.72749i | ||||
\(311\) | −5.88327 | + | 10.1901i | −0.333609 | + | 0.577828i | −0.983217 | − | 0.182441i | \(-0.941600\pi\) |
0.649607 | + | 0.760270i | \(0.274933\pi\) | |||||||
\(312\) | −9.62244 | − | 4.53149i | −0.544763 | − | 0.256545i | ||||
\(313\) | −4.32389 | + | 2.49640i | −0.244401 | + | 0.141105i | −0.617198 | − | 0.786808i | \(-0.711732\pi\) |
0.372797 | + | 0.927913i | \(0.378399\pi\) | |||||||
\(314\) | 26.8614 | 1.51588 | ||||||||
\(315\) | −27.5859 | + | 8.53079i | −1.55429 | + | 0.480655i | ||||
\(316\) | −0.809058 | −0.0455131 | ||||||||
\(317\) | −10.4646 | + | 6.04177i | −0.587753 | + | 0.339339i | −0.764209 | − | 0.644969i | \(-0.776870\pi\) |
0.176455 | + | 0.984309i | \(0.443537\pi\) | |||||||
\(318\) | 12.8569 | − | 8.93009i | 0.720980 | − | 0.500774i | ||||
\(319\) | 2.29024 | − | 3.96681i | 0.128229 | − | 0.222098i | ||||
\(320\) | −12.9911 | − | 5.34973i | −0.726226 | − | 0.299059i | ||||
\(321\) | −20.5586 | + | 1.72016i | −1.14747 | + | 0.0960100i | ||||
\(322\) | 39.0973 | − | 22.5728i | 2.17881 | − | 1.25793i | ||||
\(323\) | 1.57747i | 0.0877727i | ||||||||
\(324\) | 0.559261 | − | 2.91281i | 0.0310701 | − | 0.161823i | ||||
\(325\) | 3.16483 | + | 11.6193i | 0.175553 | + | 0.644525i | ||||
\(326\) | −17.3237 | − | 30.0056i | −0.959472 | − | 1.66185i | ||||
\(327\) | 1.51897 | + | 18.1540i | 0.0839990 | + | 1.00392i | ||||
\(328\) | 11.9782 | + | 6.91560i | 0.661384 | + | 0.381850i | ||||
\(329\) | 11.8849 | − | 20.5853i | 0.655238 | − | 1.13490i | ||||
\(330\) | 4.36515 | − | 3.98608i | 0.240294 | − | 0.219426i | ||||
\(331\) | 8.52685 | + | 14.7689i | 0.468678 | + | 0.811774i | 0.999359 | − | 0.0357973i | \(-0.0113971\pi\) |
−0.530681 | + | 0.847572i | \(0.678064\pi\) | |||||||
\(332\) | 4.34907i | 0.238686i | ||||||||
\(333\) | 3.43369 | + | 20.3753i | 0.188165 | + | 1.11656i | ||||
\(334\) | −2.16688 | −0.118566 | ||||||||
\(335\) | 15.8256 | + | 20.5364i | 0.864642 | + | 1.12202i | ||||
\(336\) | 14.4542 | − | 30.6929i | 0.788542 | − | 1.67444i | ||||
\(337\) | 31.6436 | + | 18.2694i | 1.72374 | + | 0.995200i | 0.910801 | + | 0.412846i | \(0.135465\pi\) |
0.812935 | + | 0.582354i | \(0.197868\pi\) | |||||||
\(338\) | 9.51566 | + | 5.49387i | 0.517584 | + | 0.298827i | ||||
\(339\) | 8.22327 | − | 17.4618i | 0.446627 | − | 0.948393i | ||||
\(340\) | −0.438588 | − | 0.569144i | −0.0237858 | − | 0.0308662i | ||||
\(341\) | −9.63804 | −0.521929 | ||||||||
\(342\) | −5.71063 | + | 4.71849i | −0.308795 | + | 0.255147i | ||||
\(343\) | − | 19.4901i | − | 1.05237i | ||||||
\(344\) | −8.02406 | − | 13.8981i | −0.432629 | − | 0.749335i | ||||
\(345\) | −19.6530 | + | 17.9463i | −1.05808 | + | 0.966195i | ||||
\(346\) | −14.9332 | + | 25.8650i | −0.802813 | + | 1.39051i | ||||
\(347\) | −17.1346 | − | 9.89265i | −0.919832 | − | 0.531065i | −0.0362503 | − | 0.999343i | \(-0.511541\pi\) |
−0.883581 | + | 0.468278i | \(0.844875\pi\) | |||||||
\(348\) | −0.218002 | − | 2.60547i | −0.0116862 | − | 0.139668i | ||||
\(349\) | −7.73754 | − | 13.4018i | −0.414181 | − | 0.717382i | 0.581161 | − | 0.813788i | \(-0.302599\pi\) |
−0.995342 | + | 0.0964061i | \(0.969265\pi\) | |||||||
\(350\) | −31.6942 | + | 8.63275i | −1.69413 | + | 0.461440i | ||||
\(351\) | −3.37637 | + | 12.0510i | −0.180217 | + | 0.643236i | ||||
\(352\) | 1.84623i | 0.0984043i | ||||||||
\(353\) | −26.2624 | + | 15.1626i | −1.39781 | + | 0.807025i | −0.994163 | − | 0.107891i | \(-0.965590\pi\) |
−0.403645 | + | 0.914916i | \(0.632257\pi\) | |||||||
\(354\) | 10.1218 | − | 0.846902i | 0.537968 | − | 0.0450123i | ||||
\(355\) | −9.87777 | − | 4.06765i | −0.524258 | − | 0.215889i | ||||
\(356\) | −1.17596 | + | 2.03682i | −0.0623258 | + | 0.107951i | ||||
\(357\) | −5.97057 | + | 4.14701i | −0.315996 | + | 0.219483i | ||||
\(358\) | −12.4905 | + | 7.21140i | −0.660144 | + | 0.381134i | ||||
\(359\) | 9.35774 | 0.493883 | 0.246941 | − | 0.969030i | \(-0.420575\pi\) | ||||
0.246941 | + | 0.969030i | \(0.420575\pi\) | |||||||
\(360\) | −3.79385 | + | 16.6770i | −0.199953 | + | 0.878955i | ||||
\(361\) | −16.3826 | −0.862245 | ||||||||
\(362\) | 20.6176 | − | 11.9036i | 1.08364 | − | 0.625637i | ||||
\(363\) | 1.56699 | + | 0.737940i | 0.0822454 | + | 0.0387318i | ||||
\(364\) | 1.70831 | − | 2.95887i | 0.0895395 | − | 0.155087i | ||||
\(365\) | −2.81603 | + | 6.83836i | −0.147398 | + | 0.357936i | ||||
\(366\) | −10.6211 | + | 22.5534i | −0.555172 | + | 1.17889i | ||||
\(367\) | 21.1866 | − | 12.2321i | 1.10593 | − | 0.638509i | 0.168157 | − | 0.985760i | \(-0.446218\pi\) |
0.937772 | + | 0.347252i | \(0.112885\pi\) | |||||||
\(368\) | − | 31.2698i | − | 1.63005i | ||||||
\(369\) | 5.68203 | − | 15.2506i | 0.295795 | − | 0.793913i | ||||
\(370\) | 3.11627 | + | 23.2989i | 0.162007 | + | 1.21125i | ||||
\(371\) | −12.7442 | − | 22.0735i | −0.661643 | − | 1.14600i | ||||
\(372\) | −4.51848 | + | 3.13842i | −0.234272 | + | 0.162719i | ||||
\(373\) | −19.6727 | − | 11.3580i | −1.01861 | − | 0.588097i | −0.104912 | − | 0.994482i | \(-0.533456\pi\) |
−0.913702 | + | 0.406385i | \(0.866789\pi\) | |||||||
\(374\) | 0.744108 | − | 1.28883i | 0.0384769 | − | 0.0666440i | ||||
\(375\) | 17.1554 | − | 8.98291i | 0.885901 | − | 0.463875i | ||||
\(376\) | −7.03966 | − | 12.1930i | −0.363043 | − | 0.628808i | ||||
\(377\) | 11.0322i | 0.568187i | ||||||||
\(378\) | −32.8717 | − | 9.20977i | −1.69074 | − | 0.473699i | ||||
\(379\) | −26.0805 | −1.33966 | −0.669832 | − | 0.742513i | \(-0.733634\pi\) | ||||
−0.669832 | + | 0.742513i | \(0.733634\pi\) | |||||||
\(380\) | −0.944330 | + | 0.727710i | −0.0484431 | + | 0.0373307i | ||||
\(381\) | 31.2246 | − | 2.61260i | 1.59969 | − | 0.133847i | ||||
\(382\) | −26.7620 | − | 15.4510i | −1.36926 | − | 0.790544i | ||||
\(383\) | −5.69981 | − | 3.29079i | −0.291247 | − | 0.168151i | 0.347257 | − | 0.937770i | \(-0.387113\pi\) |
−0.638504 | + | 0.769618i | \(0.720446\pi\) | |||||||
\(384\) | −13.1240 | − | 18.8950i | −0.669731 | − | 0.964232i | ||||
\(385\) | −5.87504 | − | 7.62389i | −0.299420 | − | 0.388549i | ||||
\(386\) | 7.47653 | 0.380546 | ||||||||
\(387\) | −14.5570 | + | 12.0279i | −0.739974 | + | 0.611415i | ||||
\(388\) | 2.72348i | 0.138264i | ||||||||
\(389\) | −10.5238 | − | 18.2277i | −0.533577 | − | 0.924182i | −0.999231 | − | 0.0392152i | \(-0.987514\pi\) |
0.465654 | − | 0.884967i | \(-0.345819\pi\) | |||||||
\(390\) | −4.30474 | + | 13.5711i | −0.217979 | + | 0.687201i | ||||
\(391\) | −3.35015 | + | 5.80264i | −0.169425 | + | 0.293452i | ||||
\(392\) | −25.4537 | − | 14.6957i | −1.28561 | − | 0.742245i | ||||
\(393\) | 0.505642 | + | 0.238122i | 0.0255063 | + | 0.0120117i | ||||
\(394\) | 13.5725 | + | 23.5082i | 0.683771 | + | 1.18433i | ||||
\(395\) | −0.727753 | − | 5.44107i | −0.0366172 | − | 0.273770i | ||||
\(396\) | 0.974923 | − | 0.164296i | 0.0489917 | − | 0.00825618i | ||||
\(397\) | 16.1200i | 0.809040i | 0.914529 | + | 0.404520i | \(0.132561\pi\) | ||||
−0.914529 | + | 0.404520i | \(0.867439\pi\) | |||||||
\(398\) | 6.96394 | − | 4.02063i | 0.349071 | − | 0.201536i | ||||
\(399\) | 6.88076 | + | 9.90644i | 0.344469 | + | 0.495943i | ||||
\(400\) | −5.79806 | + | 22.0014i | −0.289903 | + | 1.10007i | ||||
\(401\) | −1.23111 | + | 2.13235i | −0.0614788 | + | 0.106484i | −0.895127 | − | 0.445812i | \(-0.852915\pi\) |
0.833648 | + | 0.552296i | \(0.186248\pi\) | |||||||
\(402\) | 2.55576 | + | 30.5453i | 0.127470 | + | 1.52346i | ||||
\(403\) | 20.1035 | − | 11.6067i | 1.00143 | − | 0.578173i | ||||
\(404\) | 4.98289 | 0.247908 | ||||||||
\(405\) | 20.0922 | + | 1.14105i | 0.998391 | + | 0.0566992i | ||||
\(406\) | −30.0927 | −1.49347 | ||||||||
\(407\) | −5.96479 | + | 3.44377i | −0.295664 | + | 0.170701i | ||||
\(408\) | 0.359020 | + | 4.29085i | 0.0177741 | + | 0.212429i | ||||
\(409\) | 4.49094 | − | 7.77854i | 0.222063 | − | 0.384624i | −0.733371 | − | 0.679828i | \(-0.762054\pi\) |
0.955434 | + | 0.295204i | \(0.0953877\pi\) | |||||||
\(410\) | 7.04991 | − | 17.1198i | 0.348170 | − | 0.845486i | ||||
\(411\) | −1.69484 | − | 2.44011i | −0.0836002 | − | 0.120362i | ||||
\(412\) | −3.24245 | + | 1.87203i | −0.159744 | + | 0.0922284i | ||||
\(413\) | − | 16.5382i | − | 0.813793i | ||||||
\(414\) | −31.0272 | + | 5.22876i | −1.52490 | + | 0.256980i | ||||
\(415\) | −29.2483 | + | 3.91201i | −1.43574 | + | 0.192033i | ||||
\(416\) | −2.22335 | − | 3.85095i | −0.109008 | − | 0.188808i | ||||
\(417\) | −7.96598 | − | 3.75142i | −0.390096 | − | 0.183708i | ||||
\(418\) | −2.13845 | − | 1.23463i | −0.104595 | − | 0.0603879i | ||||
\(419\) | −1.58938 | + | 2.75289i | −0.0776464 | + | 0.134487i | −0.902234 | − | 0.431247i | \(-0.858074\pi\) |
0.824588 | + | 0.565734i | \(0.191407\pi\) | |||||||
\(420\) | −5.23687 | − | 1.66113i | −0.255533 | − | 0.0810547i | ||||
\(421\) | −4.14547 | − | 7.18016i | −0.202038 | − | 0.349940i | 0.747147 | − | 0.664659i | \(-0.231423\pi\) |
−0.949185 | + | 0.314719i | \(0.898090\pi\) | |||||||
\(422\) | − | 26.5334i | − | 1.29163i | ||||||
\(423\) | −12.7711 | + | 10.5523i | −0.620954 | + | 0.513072i | ||||
\(424\) | −15.0972 | −0.733184 | ||||||||
\(425\) | 3.43309 | − | 3.46154i | 0.166529 | − | 0.167909i | ||||
\(426\) | −7.20472 | − | 10.3729i | −0.349070 | − | 0.502567i | ||||
\(427\) | 35.1524 | + | 20.2952i | 1.70114 | + | 0.982156i | ||||
\(428\) | −3.39945 | − | 1.96267i | −0.164319 | − | 0.0948694i | ||||
\(429\) | −4.15717 | + | 0.347835i | −0.200710 | + | 0.0167936i | ||||
\(430\) | −17.0159 | + | 13.1126i | −0.820580 | + | 0.632347i | ||||
\(431\) | 9.25057 | 0.445584 | 0.222792 | − | 0.974866i | \(-0.428483\pi\) | ||||
0.222792 | + | 0.974866i | \(0.428483\pi\) | |||||||
\(432\) | −16.9086 | + | 16.5285i | −0.813517 | + | 0.795226i | ||||
\(433\) | − | 17.9047i | − | 0.860447i | −0.902722 | − | 0.430224i | \(-0.858435\pi\) | ||
0.902722 | − | 0.430224i | \(-0.141565\pi\) | |||||||
\(434\) | 31.6599 | + | 54.8365i | 1.51972 | + | 2.63224i | ||||
\(435\) | 17.3262 | − | 3.80974i | 0.830727 | − | 0.182663i | ||||
\(436\) | −1.73311 | + | 3.00184i | −0.0830011 | + | 0.143762i | ||||
\(437\) | 9.62780 | + | 5.55861i | 0.460560 | + | 0.265905i | ||||
\(438\) | −7.18110 | + | 4.98781i | −0.343126 | + | 0.238327i | ||||
\(439\) | −7.23456 | − | 12.5306i | −0.345287 | − | 0.598054i | 0.640119 | − | 0.768276i | \(-0.278885\pi\) |
−0.985406 | + | 0.170222i | \(0.945552\pi\) | |||||||
\(440\) | −5.65071 | + | 0.755793i | −0.269387 | + | 0.0360310i | ||||
\(441\) | −12.0744 | + | 32.4076i | −0.574969 | + | 1.54322i | ||||
\(442\) | 3.58441i | 0.170493i | ||||||||
\(443\) | 3.42396 | − | 1.97682i | 0.162677 | − | 0.0939217i | −0.416451 | − | 0.909158i | \(-0.636726\pi\) |
0.579128 | + | 0.815236i | \(0.303393\pi\) | |||||||
\(444\) | −1.67500 | + | 3.55680i | −0.0794922 | + | 0.168798i | ||||
\(445\) | −14.7558 | − | 6.07642i | −0.699492 | − | 0.288050i | ||||
\(446\) | 3.41546 | − | 5.91575i | 0.161727 | − | 0.280119i | ||||
\(447\) | 11.8179 | + | 5.56540i | 0.558967 | + | 0.263234i | ||||
\(448\) | −23.4218 | + | 13.5226i | −1.10658 | + | 0.638883i | ||||
\(449\) | 31.1358 | 1.46939 | 0.734696 | − | 0.678397i | \(-0.237325\pi\) | ||||
0.734696 | + | 0.678397i | \(0.237325\pi\) | |||||||
\(450\) | 22.8002 | + | 2.07413i | 1.07481 | + | 0.0977755i | ||||
\(451\) | 5.42490 | 0.255448 | ||||||||
\(452\) | 3.18042 | − | 1.83621i | 0.149594 | − | 0.0863683i | ||||
\(453\) | 11.4154 | − | 7.92886i | 0.536343 | − | 0.372531i | ||||
\(454\) | 3.71227 | − | 6.42983i | 0.174225 | − | 0.301767i | ||||
\(455\) | 21.4356 | + | 8.82716i | 1.00492 | + | 0.413823i | ||||
\(456\) | 7.11943 | − | 0.595690i | 0.333398 | − | 0.0278958i | ||||
\(457\) | −0.963332 | + | 0.556180i | −0.0450628 | + | 0.0260170i | −0.522362 | − | 0.852724i | \(-0.674949\pi\) |
0.477299 | + | 0.878741i | \(0.341616\pi\) | |||||||
\(458\) | − | 25.9266i | − | 1.21147i | ||||||
\(459\) | 4.90849 | − | 1.25559i | 0.229109 | − | 0.0586060i | ||||
\(460\) | −5.01915 | + | 0.671320i | −0.234019 | + | 0.0313005i | ||||
\(461\) | 8.34560 | + | 14.4550i | 0.388694 | + | 0.673237i | 0.992274 | − | 0.124065i | \(-0.0395932\pi\) |
−0.603581 | + | 0.797302i | \(0.706260\pi\) | |||||||
\(462\) | −0.948793 | − | 11.3396i | −0.0441418 | − | 0.527564i | ||||
\(463\) | −15.4022 | − | 8.89247i | −0.715801 | − | 0.413268i | 0.0974040 | − | 0.995245i | \(-0.468946\pi\) |
−0.813205 | + | 0.581977i | \(0.802279\pi\) | |||||||
\(464\) | −10.4217 | + | 18.0510i | −0.483817 | + | 0.837995i | ||||
\(465\) | −25.1709 | − | 27.5646i | −1.16727 | − | 1.27828i | ||||
\(466\) | −8.20465 | − | 14.2109i | −0.380073 | − | 0.658306i | ||||
\(467\) | 29.7965i | 1.37882i | 0.724372 | + | 0.689410i | \(0.242130\pi\) | ||||
−0.724372 | + | 0.689410i | \(0.757870\pi\) | |||||||
\(468\) | −1.83568 | + | 1.51676i | −0.0848545 | + | 0.0701123i | ||||
\(469\) | 49.9086 | 2.30456 | ||||||||
\(470\) | −14.9284 | + | 11.5039i | −0.688594 | + | 0.530638i | ||||
\(471\) | −12.9871 | + | 27.5777i | −0.598416 | + | 1.27071i | ||||
\(472\) | −8.48349 | − | 4.89794i | −0.390484 | − | 0.225446i | ||||
\(473\) | −5.45113 | − | 3.14721i | −0.250643 | − | 0.144709i | ||||
\(474\) | 2.76508 | − | 5.87153i | 0.127004 | − | 0.269688i | ||||
\(475\) | −5.74342 | − | 5.69622i | −0.263526 | − | 0.261361i | ||||
\(476\) | −1.38316 | −0.0633971 | ||||||||
\(477\) | 2.95205 | + | 17.5173i | 0.135165 | + | 0.802063i | ||||
\(478\) | − | 18.4282i | − | 0.842886i | ||||||
\(479\) | −4.20132 | − | 7.27690i | −0.191963 | − | 0.332490i | 0.753937 | − | 0.656946i | \(-0.228152\pi\) |
−0.945901 | + | 0.324456i | \(0.894819\pi\) | |||||||
\(480\) | −5.28017 | + | 4.82164i | −0.241006 | + | 0.220077i | ||||
\(481\) | 8.29442 | − | 14.3664i | 0.378193 | − | 0.655050i | ||||
\(482\) | −26.8512 | − | 15.5026i | −1.22304 | − | 0.706122i | ||||
\(483\) | 4.27169 | + | 51.0534i | 0.194369 | + | 2.32301i | ||||
\(484\) | 0.164778 | + | 0.285404i | 0.00748992 | + | 0.0129729i | ||||
\(485\) | −18.3159 | + | 2.44979i | −0.831684 | + | 0.111239i | ||||
\(486\) | 19.2276 | + | 14.0136i | 0.872181 | + | 0.635672i | ||||
\(487\) | − | 4.39317i | − | 0.199074i | −0.995034 | − | 0.0995368i | \(-0.968264\pi\) | ||
0.995034 | − | 0.0995368i | \(-0.0317361\pi\) | |||||||
\(488\) | 20.8214 | − | 12.0212i | 0.942540 | − | 0.544176i | ||||
\(489\) | 39.1814 | − | 3.27835i | 1.77184 | − | 0.148252i | ||||
\(490\) | −14.9811 | + | 36.3797i | −0.676778 | + | 1.64347i | ||||
\(491\) | 12.6918 | − | 21.9829i | 0.572774 | − | 0.992074i | −0.423505 | − | 0.905894i | \(-0.639200\pi\) |
0.996280 | − | 0.0861805i | \(-0.0274662\pi\) | |||||||
\(492\) | 2.54328 | − | 1.76650i | 0.114660 | − | 0.0796399i | ||||
\(493\) | 3.86786 | − | 2.23311i | 0.174199 | − | 0.100574i | ||||
\(494\) | 5.94730 | 0.267581 | ||||||||
\(495\) | 1.98187 | + | 6.40876i | 0.0890785 | + | 0.288052i | ||||
\(496\) | 43.8580 | 1.96928 | ||||||||
\(497\) | −17.8087 | + | 10.2819i | −0.798831 | + | 0.461205i | ||||
\(498\) | −31.5622 | − | 14.8636i | −1.41434 | − | 0.666053i | ||||
\(499\) | −5.63521 | + | 9.76047i | −0.252267 | + | 0.436938i | −0.964149 | − | 0.265360i | \(-0.914509\pi\) |
0.711883 | + | 0.702298i | \(0.247843\pi\) | |||||||
\(500\) | 3.65594 | + | 0.458314i | 0.163499 | + | 0.0204964i | ||||
\(501\) | 1.04766 | − | 2.22466i | 0.0468059 | − | 0.0993904i | ||||
\(502\) | −29.4690 | + | 17.0139i | −1.31527 | + | 0.759370i | ||||
\(503\) | 18.6918i | 0.833424i | 0.909038 | + | 0.416712i | \(0.136818\pi\) | ||||
−0.909038 | + | 0.416712i | \(0.863182\pi\) | |||||||
\(504\) | 20.9709 | + | 25.3804i | 0.934119 | + | 1.13053i | ||||
\(505\) | 4.48214 | + | 33.5109i | 0.199453 | + | 1.49122i | ||||
\(506\) | −5.24411 | − | 9.08307i | −0.233129 | − | 0.403792i | ||||
\(507\) | −10.2411 | + | 7.11318i | −0.454821 | + | 0.315907i | ||||
\(508\) | 5.16312 | + | 2.98093i | 0.229077 | + | 0.132257i | ||||
\(509\) | 5.30802 | − | 9.19375i | 0.235274 | − | 0.407506i | −0.724079 | − | 0.689718i | \(-0.757735\pi\) |
0.959352 | + | 0.282212i | \(0.0910680\pi\) | |||||||
\(510\) | 5.62936 | − | 1.23780i | 0.249272 | − | 0.0548108i | ||||
\(511\) | 7.11812 | + | 12.3289i | 0.314887 | + | 0.545400i | ||||
\(512\) | 14.8025i | 0.654183i | ||||||||
\(513\) | −2.08329 | − | 8.14423i | −0.0919796 | − | 0.359576i | ||||
\(514\) | 43.1153 | 1.90173 | ||||||||
\(515\) | −15.5064 | − | 20.1222i | −0.683293 | − | 0.886691i | ||||
\(516\) | −3.58040 | + | 0.299576i | −0.157618 | + | 0.0131881i | ||||
\(517\) | −4.78238 | − | 2.76111i | −0.210329 | − | 0.121433i | ||||
\(518\) | 39.1873 | + | 22.6248i | 1.72179 | + | 0.994077i | ||||
\(519\) | −19.3347 | − | 27.8368i | −0.848699 | − | 1.22190i | ||||
\(520\) | 10.8763 | − | 8.38142i | 0.476959 | − | 0.367549i | ||||
\(521\) | −13.8643 | −0.607405 | −0.303703 | − | 0.952767i | \(-0.598223\pi\) | ||||
−0.303703 | + | 0.952767i | \(0.598223\pi\) | |||||||
\(522\) | 19.6536 | + | 7.32249i | 0.860214 | + | 0.320497i | ||||
\(523\) | 10.3793i | 0.453855i | 0.973912 | + | 0.226928i | \(0.0728681\pi\) | ||||
−0.973912 | + | 0.226928i | \(0.927132\pi\) | |||||||
\(524\) | 0.0531714 | + | 0.0920956i | 0.00232280 | + | 0.00402322i | ||||
\(525\) | 6.46079 | − | 36.7131i | 0.281972 | − | 1.60229i | ||||
\(526\) | 16.3606 | − | 28.3374i | 0.713356 | − | 1.23557i | ||||
\(527\) | −8.13858 | − | 4.69881i | −0.354522 | − | 0.204684i | ||||
\(528\) | −7.13058 | − | 3.35800i | −0.310319 | − | 0.146138i | ||||
\(529\) | 12.1103 | + | 20.9756i | 0.526533 | + | 0.911982i | ||||
\(530\) | 2.67916 | + | 20.0308i | 0.116375 | + | 0.870083i | ||||
\(531\) | −4.02427 | + | 10.8012i | −0.174639 | + | 0.468730i | ||||
\(532\) | 2.29496i | 0.0994991i | ||||||||
\(533\) | −11.3155 | + | 6.53301i | −0.490129 | + | 0.282976i | ||||
\(534\) | −10.7627 | − | 15.4954i | −0.465747 | − | 0.670550i | ||||
\(535\) | 10.1415 | − | 24.6274i | 0.438456 | − | 1.06473i | ||||
\(536\) | 14.7809 | − | 25.6012i | 0.638436 | − | 1.10580i | ||||
\(537\) | −1.36469 | − | 16.3102i | −0.0588907 | − | 0.703836i | ||||
\(538\) | −9.28355 | + | 5.35986i | −0.400242 | + | 0.231080i | ||||
\(539\) | −11.5279 | −0.496544 | ||||||||
\(540\) | 3.01601 | + | 2.35918i | 0.129788 | + | 0.101523i | ||||
\(541\) | 7.07060 | 0.303989 | 0.151994 | − | 0.988381i | \(-0.451430\pi\) | ||||
0.151994 | + | 0.988381i | \(0.451430\pi\) | |||||||
\(542\) | 9.01151 | − | 5.20280i | 0.387078 | − | 0.223479i | ||||
\(543\) | 2.25264 | + | 26.9225i | 0.0966700 | + | 1.15536i | ||||
\(544\) | −0.900087 | + | 1.55900i | −0.0385909 | + | 0.0668414i | ||||
\(545\) | −21.7469 | − | 8.95534i | −0.931535 | − | 0.383605i | ||||
\(546\) | 15.6349 | + | 22.5100i | 0.669110 | + | 0.963338i | ||||
\(547\) | 3.43787 | − | 1.98485i | 0.146993 | − | 0.0848662i | −0.424700 | − | 0.905334i | \(-0.639620\pi\) |
0.571692 | + | 0.820468i | \(0.306287\pi\) | |||||||
\(548\) | − | 0.565284i | − | 0.0241477i | ||||||
\(549\) | −18.0196 | − | 21.8086i | −0.769059 | − | 0.930766i | ||||
\(550\) | 2.00556 | + | 7.36320i | 0.0855173 | + | 0.313968i | ||||
\(551\) | −3.70520 | − | 6.41759i | −0.157847 | − | 0.273399i | ||||
\(552\) | 27.4536 | + | 12.9287i | 1.16850 | + | 0.550282i | ||||
\(553\) | −9.15153 | − | 5.28364i | −0.389163 | − | 0.224683i | ||||
\(554\) | 4.98292 | − | 8.63067i | 0.211704 | − | 0.366682i | ||||
\(555\) | −25.4268 | − | 8.06535i | −1.07931 | − | 0.342355i | ||||
\(556\) | −0.837672 | − | 1.45089i | −0.0355252 | − | 0.0615315i | ||||
\(557\) | − | 33.8162i | − | 1.43284i | −0.697670 | − | 0.716419i | \(-0.745780\pi\) | ||
0.697670 | − | 0.716419i | \(-0.254220\pi\) | |||||||
\(558\) | −7.33369 | − | 43.5177i | −0.310460 | − | 1.84225i | ||||
\(559\) | 15.1603 | 0.641212 | ||||||||
\(560\) | 26.7344 | + | 34.6925i | 1.12973 | + | 1.46603i | ||||
\(561\) | 0.963432 | + | 1.38708i | 0.0406761 | + | 0.0585627i | ||||
\(562\) | −21.8663 | − | 12.6245i | −0.922373 | − | 0.532532i | ||||
\(563\) | 38.2056 | + | 22.0580i | 1.61017 | + | 0.929635i | 0.989328 | + | 0.145702i | \(0.0465442\pi\) |
0.620846 | + | 0.783932i | \(0.286789\pi\) | |||||||
\(564\) | −3.14115 | + | 0.262824i | −0.132266 | + | 0.0110669i | ||||
\(565\) | 15.2097 | + | 19.7372i | 0.639877 | + | 0.830351i | ||||
\(566\) | −22.3849 | −0.940906 | ||||||||
\(567\) | 25.3484 | − | 29.2954i | 1.06453 | − | 1.23029i | ||||
\(568\) | 12.1803i | 0.511073i | ||||||||
\(569\) | 9.07396 | + | 15.7166i | 0.380400 | + | 0.658872i | 0.991119 | − | 0.132975i | \(-0.0424530\pi\) |
−0.610719 | + | 0.791847i | \(0.709120\pi\) | |||||||
\(570\) | −2.05378 | − | 9.34029i | −0.0860233 | − | 0.391222i | ||||
\(571\) | −5.53080 | + | 9.57962i | −0.231457 | + | 0.400895i | −0.958237 | − | 0.285975i | \(-0.907682\pi\) |
0.726780 | + | 0.686870i | \(0.241016\pi\) | |||||||
\(572\) | −0.687405 | − | 0.396873i | −0.0287418 | − | 0.0165941i | ||||
\(573\) | 28.8021 | − | 20.0052i | 1.20322 | − | 0.835729i | ||||
\(574\) | −17.8202 | − | 30.8654i | −0.743799 | − | 1.28830i | ||||
\(575\) | −9.02951 | − | 33.1509i | −0.376557 | − | 1.38249i | ||||
\(576\) | 18.5873 | − | 3.13237i | 0.774472 | − | 0.130515i | ||||
\(577\) | 44.3187i | 1.84501i | 0.385984 | + | 0.922505i | \(0.373862\pi\) | ||||
−0.385984 | + | 0.922505i | \(0.626138\pi\) | |||||||
\(578\) | −21.2140 | + | 12.2479i | −0.882386 | + | 0.509446i | ||||
\(579\) | −3.61480 | + | 7.67589i | −0.150226 | + | 0.318999i | ||||
\(580\) | 3.12112 | + | 1.28527i | 0.129598 | + | 0.0533681i | ||||
\(581\) | −28.4020 | + | 49.1938i | −1.17832 | + | 2.04090i | ||||
\(582\) | −19.7650 | − | 9.30791i | −0.819284 | − | 0.385825i | ||||
\(583\) | −5.12812 | + | 2.96072i | −0.212385 | + | 0.122620i | ||||
\(584\) | 8.43238 | 0.348934 | ||||||||
\(585\) | −11.8517 | − | 10.9810i | −0.490008 | − | 0.454008i | ||||
\(586\) | −17.9108 | −0.739889 | ||||||||
\(587\) | −4.91737 | + | 2.83905i | −0.202962 | + | 0.117180i | −0.598036 | − | 0.801469i | \(-0.704052\pi\) |
0.395074 | + | 0.918649i | \(0.370719\pi\) | |||||||
\(588\) | −5.40449 | + | 3.75382i | −0.222878 | + | 0.154805i | ||||
\(589\) | −7.79633 | + | 13.5036i | −0.321242 | + | 0.556408i | ||||
\(590\) | −4.99307 | + | 12.1250i | −0.205561 | + | 0.499179i | ||||
\(591\) | −30.6971 | + | 2.56846i | −1.26271 | + | 0.105652i | ||||
\(592\) | 27.1428 | − | 15.6709i | 1.11556 | − | 0.644070i | ||||
\(593\) | 19.1445i | 0.786170i | 0.919502 | + | 0.393085i | \(0.128592\pi\) | ||||
−0.919502 | + | 0.393085i | \(0.871408\pi\) | |||||||
\(594\) | −2.13961 | + | 7.63676i | −0.0877893 | + | 0.313340i | ||||
\(595\) | −1.24416 | − | 9.30203i | −0.0510057 | − | 0.381346i | ||||
\(596\) | 1.24272 | + | 2.15246i | 0.0509040 | + | 0.0881683i | ||||
\(597\) | 0.760867 | + | 9.09354i | 0.0311402 | + | 0.372174i | ||||
\(598\) | 21.8768 | + | 12.6306i | 0.894610 | + | 0.516503i | ||||
\(599\) | 9.64728 | − | 16.7096i | 0.394177 | − | 0.682735i | −0.598818 | − | 0.800885i | \(-0.704363\pi\) |
0.992996 | + | 0.118150i | \(0.0376962\pi\) | |||||||
\(600\) | −16.9190 | − | 14.1871i | −0.690716 | − | 0.579184i | ||||
\(601\) | 7.33407 | + | 12.7030i | 0.299163 | + | 0.518165i | 0.975945 | − | 0.218018i | \(-0.0699593\pi\) |
−0.676782 | + | 0.736184i | \(0.736626\pi\) | |||||||
\(602\) | 41.3529i | 1.68542i | ||||||||
\(603\) | −32.5954 | − | 12.1443i | −1.32739 | − | 0.494555i | ||||
\(604\) | 2.64453 | 0.107605 | ||||||||
\(605\) | −1.77118 | + | 1.36489i | −0.0720087 | + | 0.0554906i | ||||
\(606\) | −17.0298 | + | 36.1621i | −0.691788 | + | 1.46898i | ||||
\(607\) | 1.32045 | + | 0.762361i | 0.0535953 | + | 0.0309433i | 0.526558 | − | 0.850139i | \(-0.323482\pi\) |
−0.472963 | + | 0.881082i | \(0.656816\pi\) | |||||||
\(608\) | 2.58671 | + | 1.49344i | 0.104905 | + | 0.0605668i | ||||
\(609\) | 14.5494 | − | 30.8951i | 0.589571 | − | 1.25193i | ||||
\(610\) | −19.6447 | − | 25.4924i | −0.795389 | − | 1.03216i | ||||
\(611\) | 13.3004 | 0.538077 | ||||||||
\(612\) | 0.903346 | + | 0.336567i | 0.0365156 | + | 0.0136049i | ||||
\(613\) | − | 46.0403i | − | 1.85955i | −0.368127 | − | 0.929776i | \(-0.620001\pi\) | ||
0.368127 | − | 0.929776i | \(-0.379999\pi\) | |||||||
\(614\) | 16.0934 | + | 27.8747i | 0.649478 | + | 1.12493i | ||||
\(615\) | 14.1677 | + | 15.5151i | 0.571298 | + | 0.625628i | ||||
\(616\) | −5.48722 | + | 9.50414i | −0.221086 | + | 0.382933i | ||||
\(617\) | 19.8228 | + | 11.4447i | 0.798036 | + | 0.460746i | 0.842784 | − | 0.538252i | \(-0.180915\pi\) |
−0.0447479 | + | 0.998998i | \(0.514248\pi\) | |||||||
\(618\) | −2.50421 | − | 29.9292i | −0.100734 | − | 1.20393i | ||||
\(619\) | −15.9645 | − | 27.6513i | −0.641668 | − | 1.11140i | −0.985060 | − | 0.172209i | \(-0.944909\pi\) |
0.343393 | − | 0.939192i | \(-0.388424\pi\) | |||||||
\(620\) | −0.941571 | − | 7.03969i | −0.0378144 | − | 0.282721i | ||||
\(621\) | 9.63305 | − | 34.3825i | 0.386561 | − | 1.37972i | ||||
\(622\) | − | 17.9591i | − | 0.720095i | ||||||
\(623\) | −26.6034 | + | 15.3595i | −1.06584 | + | 0.615364i | ||||
\(624\) | 18.9172 | − | 1.58282i | 0.757295 | − | 0.0633636i | ||||
\(625\) | 0.206294 | + | 24.9991i | 0.00825174 | + | 0.999966i | ||||
\(626\) | 3.81023 | − | 6.59951i | 0.152287 | − | 0.263769i | ||||
\(627\) | 2.30146 | − | 1.59854i | 0.0919116 | − | 0.0638395i | ||||
\(628\) | −5.02289 | + | 2.89997i | −0.200435 | + | 0.115721i | ||||
\(629\) | −6.71574 | −0.267774 | ||||||||
\(630\) | 29.9530 | − | 32.3281i | 1.19336 | − | 1.28798i | ||||
\(631\) | 7.18053 | 0.285853 | 0.142926 | − | 0.989733i | \(-0.454349\pi\) | ||||
0.142926 | + | 0.989733i | \(0.454349\pi\) | |||||||
\(632\) | −5.42061 | + | 3.12959i | −0.215620 | + | 0.124489i | ||||
\(633\) | 27.2409 | + | 12.8286i | 1.08273 | + | 0.509889i | ||||
\(634\) | 9.22148 | − | 15.9721i | 0.366232 | − | 0.634332i | ||||
\(635\) | −15.4031 | + | 37.4043i | −0.611252 | + | 1.48435i | ||||
\(636\) | −1.44005 | + | 3.05789i | −0.0571018 | + | 0.121253i | ||||
\(637\) | 24.0455 | − | 13.8827i | 0.952719 | − | 0.550052i | ||||
\(638\) | 6.99112i | 0.276781i | ||||||||
\(639\) | 14.1328 | − | 2.38169i | 0.559086 | − | 0.0942182i | ||||
\(640\) | 29.4380 | − | 3.93739i | 1.16364 | − | 0.155639i | ||||
\(641\) | −10.1399 | − | 17.5628i | −0.400502 | − | 0.693689i | 0.593285 | − | 0.804993i | \(-0.297831\pi\) |
−0.993786 | + | 0.111304i | \(0.964497\pi\) | |||||||
\(642\) | 25.8617 | − | 17.9629i | 1.02068 | − | 0.708939i | ||||
\(643\) | −14.9857 | − | 8.65200i | −0.590978 | − | 0.341202i | 0.174506 | − | 0.984656i | \(-0.444167\pi\) |
−0.765484 | + | 0.643455i | \(0.777501\pi\) | |||||||
\(644\) | −4.87393 | + | 8.44189i | −0.192060 | + | 0.332657i | ||||
\(645\) | −5.23530 | − | 23.8094i | −0.206140 | − | 0.937495i | ||||
\(646\) | −1.20384 | − | 2.08510i | −0.0473643 | − | 0.0820373i | ||||
\(647\) | − | 1.86158i | − | 0.0731863i | −0.999330 | − | 0.0365932i | \(-0.988349\pi\) | ||
0.999330 | − | 0.0365932i | \(-0.0116506\pi\) | |||||||
\(648\) | −7.52030 | − | 21.6789i | −0.295425 | − | 0.851626i | ||||
\(649\) | −3.84216 | −0.150818 | ||||||||
\(650\) | −13.0505 | − | 12.9433i | −0.511884 | − | 0.507677i | ||||
\(651\) | −71.6058 | + | 5.99133i | −2.80645 | + | 0.234819i | ||||
\(652\) | 6.47881 | + | 3.74054i | 0.253730 | + | 0.146491i | ||||
\(653\) | −4.52608 | − | 2.61313i | −0.177119 | − | 0.102260i | 0.408819 | − | 0.912615i | \(-0.365941\pi\) |
−0.585938 | + | 0.810356i | \(0.699274\pi\) | |||||||
\(654\) | −15.8619 | − | 22.8369i | −0.620250 | − | 0.892992i | ||||
\(655\) | −0.571532 | + | 0.440428i | −0.0223316 | + | 0.0172090i | ||||
\(656\) | −24.6860 | −0.963827 | ||||||||
\(657\) | −1.64884 | − | 9.78412i | −0.0643273 | − | 0.381715i | ||||
\(658\) | 36.2797i | 1.41433i | ||||||||
\(659\) | 22.3130 | + | 38.6472i | 0.869191 | + | 1.50548i | 0.862825 | + | 0.505503i | \(0.168693\pi\) |
0.00636568 | + | 0.999980i | \(0.497974\pi\) | |||||||
\(660\) | −0.385913 | + | 1.21663i | −0.0150216 | + | 0.0473572i | ||||
\(661\) | 14.0359 | − | 24.3110i | 0.545935 | − | 0.945587i | −0.452613 | − | 0.891707i | \(-0.649508\pi\) |
0.998547 | − | 0.0538796i | \(-0.0171587\pi\) | |||||||
\(662\) | −22.5417 | − | 13.0144i | −0.876107 | − | 0.505820i | ||||
\(663\) | −3.67999 | − | 1.73301i | −0.142919 | − | 0.0673047i | ||||
\(664\) | 16.8230 | + | 29.1383i | 0.652860 | + | 1.13079i | ||||
\(665\) | −15.4340 | + | 2.06433i | −0.598506 | + | 0.0800513i | ||||
\(666\) | −20.0880 | − | 24.3118i | −0.778394 | − | 0.942064i | ||||
\(667\) | − | 31.4757i | − | 1.21874i | ||||||
\(668\) | 0.405190 | − | 0.233937i | 0.0156773 | − | 0.00905128i | ||||
\(669\) | 4.42216 | + | 6.36671i | 0.170970 | + | 0.246151i | ||||
\(670\) | −36.5905 | − | 15.0679i | −1.41362 | − | 0.582125i | ||||
\(671\) | 4.71499 | − | 8.16660i | 0.182020 | − | 0.315268i | ||||
\(672\) | 1.14768 | + | 13.7165i | 0.0442726 | + | 0.529127i | ||||
\(673\) | −18.3660 | + | 10.6036i | −0.707957 | + | 0.408739i | −0.810304 | − | 0.586009i | \(-0.800698\pi\) |
0.102347 | + | 0.994749i | \(0.467365\pi\) | |||||||
\(674\) | −55.7689 | −2.14814 | ||||||||
\(675\) | −13.1530 | + | 22.4053i | −0.506260 | + | 0.862381i | ||||
\(676\) | −2.37248 | −0.0912491 | ||||||||
\(677\) | 22.4937 | − | 12.9867i | 0.864503 | − | 0.499121i | −0.00101455 | − | 0.999999i | \(-0.500323\pi\) |
0.865518 | + | 0.500878i | \(0.166990\pi\) | |||||||
\(678\) | 2.45630 | + | 29.3566i | 0.0943335 | + | 1.12743i | ||||
\(679\) | −17.7860 | + | 30.8062i | −0.682564 | + | 1.18223i | ||||
\(680\) | −5.14006 | − | 2.11667i | −0.197112 | − | 0.0811706i | ||||
\(681\) | 4.80645 | + | 6.91999i | 0.184183 | + | 0.265175i | ||||
\(682\) | 12.7396 | − | 7.35522i | 0.487825 | − | 0.281646i | ||||
\(683\) | − | 47.7242i | − | 1.82612i | −0.407830 | − | 0.913058i | \(-0.633714\pi\) | ||
0.407830 | − | 0.913058i | \(-0.366286\pi\) | |||||||
\(684\) | 0.558436 | − | 1.49884i | 0.0213523 | − | 0.0573097i | ||||
\(685\) | 3.80164 | − | 0.508476i | 0.145253 | − | 0.0194279i | ||||
\(686\) | 14.8738 | + | 25.7622i | 0.567884 | + | 0.983604i | ||||
\(687\) | 26.6179 | + | 12.5352i | 1.01554 | + | 0.478246i | ||||
\(688\) | 24.8054 | + | 14.3214i | 0.945697 | + | 0.545999i | ||||
\(689\) | 7.13098 | − | 12.3512i | 0.271669 | − | 0.470544i | ||||
\(690\) | 12.2818 | − | 38.7195i | 0.467559 | − | 1.47403i | ||||
\(691\) | −20.6744 | − | 35.8090i | −0.786490 | − | 1.36224i | −0.928105 | − | 0.372318i | \(-0.878563\pi\) |
0.141616 | − | 0.989922i | \(-0.454770\pi\) | |||||||
\(692\) | − | 6.44876i | − | 0.245145i | ||||||
\(693\) | 12.1006 | + | 4.50843i | 0.459665 | + | 0.171261i | ||||
\(694\) | 30.1981 | 1.14630 | ||||||||
\(695\) | 9.00403 | − | 6.93859i | 0.341542 | − | 0.263196i | ||||
\(696\) | −11.5391 | − | 16.6131i | −0.437387 | − | 0.629719i | ||||
\(697\) | 4.58091 | + | 2.64479i | 0.173514 | + | 0.100178i | ||||
\(698\) | 20.4550 | + | 11.8097i | 0.774234 | + | 0.447004i | ||||
\(699\) | 18.5566 | − | 1.55265i | 0.701877 | − | 0.0587268i | ||||
\(700\) | 4.99459 | − | 5.03597i | 0.188778 | − | 0.190342i | ||||
\(701\) | 8.63388 | 0.326097 | 0.163049 | − | 0.986618i | \(-0.447867\pi\) | ||||
0.163049 | + | 0.986618i | \(0.447867\pi\) | |||||||
\(702\) | −4.73377 | − | 18.5058i | −0.178665 | − | 0.698455i | ||||
\(703\) | 11.1428i | 0.420260i | ||||||||
\(704\) | 3.14157 | + | 5.44135i | 0.118402 | + | 0.205079i | ||||
\(705\) | −4.59302 | − | 20.8884i | −0.172983 | − | 0.786704i | ||||
\(706\) | 23.1425 | − | 40.0840i | 0.870981 | − | 1.50858i | ||||
\(707\) | 56.3632 | + | 32.5413i | 2.11976 | + | 1.22384i | ||||
\(708\) | −1.80127 | + | 1.25112i | −0.0676958 | + | 0.0470198i | ||||
\(709\) | 10.0436 | + | 17.3960i | 0.377194 | + | 0.653319i | 0.990653 | − | 0.136408i | \(-0.0435557\pi\) |
−0.613459 | + | 0.789727i | \(0.710222\pi\) | |||||||
\(710\) | 16.1607 | − | 2.16152i | 0.606500 | − | 0.0811205i | ||||
\(711\) | 4.69121 | + | 5.67761i | 0.175934 | + | 0.212927i | ||||
\(712\) | 18.1954i | 0.681900i | ||||||||
\(713\) | −57.3568 | + | 33.1150i | −2.14803 | + | 1.24017i | ||||
\(714\) | 4.72717 | − | 10.0379i | 0.176910 | − | 0.375661i | ||||
\(715\) | 2.05072 | − | 4.97992i | 0.0766927 | − | 0.186238i | ||||
\(716\) | 1.55709 | − | 2.69696i | 0.0581911 | − | 0.100790i | ||||
\(717\) | 18.9196 | + | 8.90979i | 0.706564 | + | 0.332742i | ||||
\(718\) | −12.3691 | + | 7.14131i | −0.461611 | + | 0.266511i | ||||
\(719\) | 28.4383 | 1.06057 | 0.530285 | − | 0.847820i | \(-0.322085\pi\) | ||||
0.530285 | + | 0.847820i | \(0.322085\pi\) | |||||||
\(720\) | −9.01851 | − | 29.1631i | −0.336100 | − | 1.08684i | ||||
\(721\) | −48.9020 | −1.82121 | ||||||||
\(722\) | 21.6547 | − | 12.5023i | 0.805903 | − | 0.465288i | ||||
\(723\) | 28.8981 | − | 20.0719i | 1.07473 | − | 0.746482i | ||||
\(724\) | −2.57022 | + | 4.45175i | −0.0955215 | + | 0.165448i | ||||
\(725\) | −5.83624 | + | 22.1463i | −0.216753 | + | 0.822491i | ||||
\(726\) | −2.63440 | + | 0.220423i | −0.0977719 | + | 0.00818068i | ||||
\(727\) | −10.0695 | + | 5.81361i | −0.373456 | + | 0.215615i | −0.674967 | − | 0.737848i | \(-0.735842\pi\) |
0.301511 | + | 0.953463i | \(0.402509\pi\) | |||||||
\(728\) | − | 26.4322i | − | 0.979644i | ||||||
\(729\) | −23.6836 | + | 12.9649i | −0.877170 | + | 0.480180i | ||||
\(730\) | −1.49642 | − | 11.1880i | −0.0553849 | − | 0.414087i | ||||
\(731\) | −3.06871 | − | 5.31516i | −0.113500 | − | 0.196588i | ||||
\(732\) | −0.448809 | − | 5.36397i | −0.0165885 | − | 0.198258i | ||||
\(733\) | 27.4088 | + | 15.8245i | 1.01237 | + | 0.584490i | 0.911883 | − | 0.410449i | \(-0.134628\pi\) |
0.100482 | + | 0.994939i | \(0.467961\pi\) | |||||||
\(734\) | −18.6697 | + | 32.3368i | −0.689110 | + | 1.19357i | ||||
\(735\) | −30.1066 | − | 32.9697i | −1.11050 | − | 1.21610i | ||||
\(736\) | 6.34338 | + | 10.9871i | 0.233820 | + | 0.404988i | ||||
\(737\) | − | 11.5948i | − | 0.427098i | ||||||
\(738\) | 4.12786 | + | 24.4945i | 0.151949 | + | 0.901654i | ||||
\(739\) | −31.4124 | −1.15552 | −0.577762 | − | 0.816205i | \(-0.696074\pi\) | ||||
−0.577762 | + | 0.816205i | \(0.696074\pi\) | |||||||
\(740\) | −3.09807 | − | 4.02029i | −0.113887 | − | 0.147789i | ||||
\(741\) | −2.87544 | + | 6.10588i | −0.105632 | + | 0.224305i | ||||
\(742\) | 33.6906 | + | 19.4513i | 1.23682 | + | 0.714078i | ||||
\(743\) | 11.8649 | + | 6.85022i | 0.435282 | + | 0.251310i | 0.701594 | − | 0.712577i | \(-0.252472\pi\) |
−0.266312 | + | 0.963887i | \(0.585805\pi\) | |||||||
\(744\) | −18.1334 | + | 38.5055i | −0.664801 | + | 1.41168i | ||||
\(745\) | −13.3579 | + | 10.2937i | −0.489395 | + | 0.377132i | ||||
\(746\) | 34.6713 | 1.26941 | ||||||||
\(747\) | 30.5198 | − | 25.2175i | 1.11666 | − | 0.922658i | ||||
\(748\) | 0.321336i | 0.0117492i | ||||||||
\(749\) | −25.6349 | − | 44.4009i | −0.936678 | − | 1.62237i | ||||
\(750\) | −15.8208 | + | 24.9657i | −0.577695 | + | 0.911618i | ||||
\(751\) | 19.6923 | − | 34.1081i | 0.718584 | − | 1.24462i | −0.242977 | − | 0.970032i | \(-0.578124\pi\) |
0.961561 | − | 0.274591i | \(-0.0885426\pi\) | |||||||
\(752\) | 21.7622 | + | 12.5644i | 0.793587 | + | 0.458178i | ||||
\(753\) | −3.21973 | − | 38.4808i | −0.117333 | − | 1.40232i | ||||
\(754\) | −8.41916 | − | 14.5824i | −0.306608 | − | 0.531060i | ||||
\(755\) | 2.37878 | + | 17.7850i | 0.0865725 | + | 0.647262i | ||||
\(756\) | 7.14106 | − | 1.82668i | 0.259718 | − | 0.0664358i | ||||
\(757\) | − | 19.0646i | − | 0.692915i | −0.938066 | − | 0.346457i | \(-0.887385\pi\) | ||
0.938066 | − | 0.346457i | \(-0.112615\pi\) | |||||||
\(758\) | 34.4733 | − | 19.9032i | 1.25213 | − | 0.722915i | ||||
\(759\) | 11.8607 | − | 0.992399i | 0.430517 | − | 0.0360218i | ||||
\(760\) | −3.51200 | + | 8.52845i | −0.127394 | + | 0.309359i | ||||
\(761\) | 7.60898 | − | 13.1791i | 0.275825 | − | 0.477744i | −0.694518 | − | 0.719476i | \(-0.744382\pi\) |
0.970343 | + | 0.241732i | \(0.0777155\pi\) | |||||||
\(762\) | −39.2791 | + | 27.2822i | −1.42293 | + | 0.988332i | ||||
\(763\) | −39.2077 | + | 22.6366i | −1.41941 | + | 0.819499i | ||||
\(764\) | 6.67238 | 0.241398 | ||||||||
\(765\) | −1.45091 | + | 6.37792i | −0.0524578 | + | 0.230594i | ||||
\(766\) | 10.0454 | 0.362955 | ||||||||
\(767\) | 8.01415 | − | 4.62697i | 0.289374 | − | 0.167070i | ||||
\(768\) | 12.0758 | + | 5.68686i | 0.435749 | + | 0.205207i | ||||
\(769\) | −8.42141 | + | 14.5863i | −0.303684 | + | 0.525996i | −0.976967 | − | 0.213388i | \(-0.931550\pi\) |
0.673284 | + | 0.739384i | \(0.264883\pi\) | |||||||
\(770\) | 13.5838 | + | 5.59378i | 0.489525 | + | 0.201586i | ||||
\(771\) | −20.8457 | + | 44.2649i | −0.750739 | + | 1.59416i | ||||
\(772\) | −1.39806 | + | 0.807168i | −0.0503171 | + | 0.0290506i | ||||
\(773\) | − | 47.5641i | − | 1.71076i | −0.517999 | − | 0.855381i | \(-0.673323\pi\) | ||
0.517999 | − | 0.855381i | \(-0.326677\pi\) | |||||||
\(774\) | 10.0625 | − | 27.0077i | 0.361688 | − | 0.970771i | ||||
\(775\) | 46.4963 | − | 12.6645i | 1.67020 | − | 0.454922i | ||||
\(776\) | 10.5350 | + | 18.2471i | 0.378183 | + | 0.655032i | ||||
\(777\) | −42.1746 | + | 29.2934i | −1.51301 | + | 1.05090i | ||||
\(778\) | 27.8208 | + | 16.0623i | 0.997423 | + | 0.575862i | ||||
\(779\) | 4.38826 | − | 7.60069i | 0.157226 | − | 0.272323i | ||||
\(780\) | −0.660188 | − | 3.00244i | −0.0236385 | − | 0.107505i | ||||
\(781\) | 2.38868 | + | 4.13732i | 0.0854738 | + | 0.148045i | ||||
\(782\) | − | 10.2266i | − | 0.365703i | ||||||
\(783\) | −17.0200 | + | 16.6373i | −0.608245 | + | 0.594569i | ||||
\(784\) | 52.4580 | 1.87350 | ||||||||
\(785\) | −24.0209 | − | 31.1713i | −0.857344 | − | 1.11255i | ||||
\(786\) | −0.850081 | + | 0.0711272i | −0.0303214 | + | 0.00253702i | ||||
\(787\) | −0.572845 | − | 0.330732i | −0.0204197 | − | 0.0117893i | 0.489755 | − | 0.871860i | \(-0.337086\pi\) |
−0.510175 | + | 0.860071i | \(0.670419\pi\) | |||||||
\(788\) | −5.07590 | − | 2.93057i | −0.180821 | − | 0.104397i | ||||
\(789\) | 21.1828 | + | 30.4976i | 0.754129 | + | 1.08574i | ||||
\(790\) | 5.11427 | + | 6.63665i | 0.181957 | + | 0.236121i | ||||
\(791\) | 47.9664 | 1.70549 | ||||||||
\(792\) | 5.89637 | − | 4.87196i | 0.209518 | − | 0.173118i | ||||
\(793\) | 22.7124i | 0.806540i | ||||||||
\(794\) | −12.3019 | − | 21.3075i | −0.436578 | − | 0.756175i | ||||
\(795\) | −21.8603 | − | 6.93404i | −0.775303 | − | 0.245925i | ||||
\(796\) | −0.868136 | + | 1.50366i | −0.0307703 | + | 0.0532956i | ||||
\(797\) | −11.0504 | − | 6.37993i | −0.391424 | − | 0.225989i | 0.291353 | − | 0.956616i | \(-0.405895\pi\) |
−0.682777 | + | 0.730627i | \(0.739228\pi\) | |||||||
\(798\) | −16.6551 | − | 7.84337i | −0.589583 | − | 0.277652i | ||||
\(799\) | −2.69223 | − | 4.66308i | −0.0952443 | − | 0.164968i | ||||
\(800\) | −2.42596 | − | 8.90666i | −0.0857708 | − | 0.314898i | ||||
\(801\) | 21.1122 | − | 3.55786i | 0.745962 | − | 0.125711i | ||||
\(802\) | − | 3.75806i | − | 0.132702i | ||||||
\(803\) | 2.86426 | − | 1.65368i | 0.101077 | − | 0.0583571i | ||||
\(804\) | −3.77558 | − | 5.43582i | −0.133154 | − | 0.191706i | ||||
\(805\) | −61.1575 | − | 25.1846i | −2.15552 | − | 0.887639i | ||||
\(806\) | −17.7152 | + | 30.6837i | −0.623993 | + | 1.08079i | ||||
\(807\) | −1.01430 | − | 12.1225i | −0.0357052 | − | 0.426732i | ||||
\(808\) | 33.3849 | − | 19.2748i | 1.17448 | − | 0.678085i | ||||
\(809\) | −41.2002 | −1.44852 | −0.724261 | − | 0.689526i | \(-0.757819\pi\) | ||||
−0.724261 | + | 0.689526i | \(0.757819\pi\) | |||||||
\(810\) | −27.4288 | + | 13.8250i | −0.963750 | + | 0.485762i | ||||
\(811\) | −34.6437 | −1.21651 | −0.608253 | − | 0.793744i | \(-0.708129\pi\) | ||||
−0.608253 | + | 0.793744i | \(0.708129\pi\) | |||||||
\(812\) | 5.62710 | − | 3.24881i | 0.197473 | − | 0.114011i | ||||
\(813\) | 0.984581 | + | 11.7673i | 0.0345308 | + | 0.412697i | ||||
\(814\) | 5.25619 | − | 9.10399i | 0.184229 | − | 0.319095i | ||||
\(815\) | −19.3281 | + | 46.9359i | −0.677035 | + | 1.64409i | ||||
\(816\) | −4.38410 | − | 6.31193i | −0.153474 | − | 0.220962i | ||||
\(817\) | −8.81897 | + | 5.09163i | −0.308537 | + | 0.178134i | ||||
\(818\) | 13.7089i | 0.479322i | ||||||||
\(819\) | −30.6694 | + | 5.16847i | −1.07168 | + | 0.180601i | ||||
\(820\) | 0.529975 | + | 3.96238i | 0.0185075 | + | 0.138372i | ||||
\(821\) | 21.3776 | + | 37.0271i | 0.746083 | + | 1.29225i | 0.949687 | + | 0.313201i | \(0.101401\pi\) |
−0.203604 | + | 0.979053i | \(0.565265\pi\) | |||||||
\(822\) | 4.10240 | + | 1.93194i | 0.143088 | + | 0.0673843i | ||||
\(823\) | −21.4054 | − | 12.3584i | −0.746147 | − | 0.430788i | 0.0781530 | − | 0.996941i | \(-0.475098\pi\) |
−0.824300 | + | 0.566153i | \(0.808431\pi\) | |||||||
\(824\) | −14.4828 | + | 25.0849i | −0.504531 | + | 0.873873i | ||||
\(825\) | −8.52919 | − | 1.50097i | −0.296948 | − | 0.0522571i | ||||
\(826\) | 12.6211 | + | 21.8603i | 0.439143 | + | 0.760617i | ||||
\(827\) | − | 54.2179i | − | 1.88534i | −0.333726 | − | 0.942670i | \(-0.608306\pi\) | ||
0.333726 | − | 0.942670i | \(-0.391694\pi\) | |||||||
\(828\) | 5.23735 | − | 4.32744i | 0.182011 | − | 0.150389i | ||||
\(829\) | 15.8577 | 0.550762 | 0.275381 | − | 0.961335i | \(-0.411196\pi\) | ||||
0.275381 | + | 0.961335i | \(0.411196\pi\) | |||||||
\(830\) | 35.6751 | − | 27.4916i | 1.23830 | − | 0.954247i | ||||
\(831\) | 6.45163 | + | 9.28860i | 0.223804 | + | 0.322218i | ||||
\(832\) | −13.1057 | − | 7.56655i | −0.454357 | − | 0.262323i | ||||
\(833\) | −9.73446 | − | 5.62019i | −0.337279 | − | 0.194728i | ||||
\(834\) | 13.3923 | − | 1.12055i | 0.463739 | − | 0.0388015i | ||||
\(835\) | 1.93774 | + | 2.51455i | 0.0670583 | + | 0.0870197i | ||||
\(836\) | 0.533165 | 0.0184399 | ||||||||
\(837\) | 48.2238 | + | 13.5110i | 1.66686 | + | 0.467008i | ||||
\(838\) | − | 4.85171i | − | 0.167600i | ||||||
\(839\) | −1.95661 | − | 3.38895i | −0.0675497 | − | 0.117000i | 0.830272 | − | 0.557358i | \(-0.188185\pi\) |
−0.897822 | + | 0.440358i | \(0.854851\pi\) | |||||||
\(840\) | −41.5121 | + | 9.12783i | −1.43230 | + | 0.314940i | ||||
\(841\) | 4.00964 | − | 6.94489i | 0.138263 | − | 0.239479i | ||||
\(842\) | 10.9590 | + | 6.32718i | 0.377672 | + | 0.218049i | ||||
\(843\) | 23.5332 | − | 16.3455i | 0.810526 | − | 0.562970i | ||||
\(844\) | 2.86455 | + | 4.96155i | 0.0986020 | + | 0.170784i | ||||
\(845\) | −2.13406 | − | 15.9554i | −0.0734138 | − | 0.548881i | ||||
\(846\) | 8.82799 | − | 23.6943i | 0.303512 | − | 0.814628i | ||||
\(847\) | 4.30441i | 0.147901i | ||||||||
\(848\) | 23.3355 | − | 13.4728i | 0.801345 | − | 0.462657i | ||||
\(849\) | 10.8228 | − | 22.9817i | 0.371437 | − | 0.788731i | ||||
\(850\) | −1.89622 | + | 7.19542i | −0.0650399 | + | 0.246801i | ||||
\(851\) | −23.6646 | + | 40.9884i | −0.811213 | + | 1.40506i | ||||
\(852\) | 2.46708 | + | 1.16182i | 0.0845209 | + | 0.0398034i | ||||
\(853\) | 5.35626 | − | 3.09244i | 0.183395 | − | 0.105883i | −0.405492 | − | 0.914099i | \(-0.632900\pi\) |
0.588887 | + | 0.808216i | \(0.299566\pi\) | |||||||
\(854\) | −61.9528 | −2.11998 | ||||||||
\(855\) | 10.5823 | + | 2.40737i | 0.361908 | + | 0.0823302i | ||||
\(856\) | −30.3680 | −1.03796 | ||||||||
\(857\) | −28.1285 | + | 16.2400i | −0.960850 | + | 0.554747i | −0.896434 | − | 0.443176i | \(-0.853852\pi\) |
−0.0644153 | + | 0.997923i | \(0.520518\pi\) | |||||||
\(858\) | 5.22951 | − | 3.63229i | 0.178533 | − | 0.124004i | ||||
\(859\) | 23.0399 | − | 39.9062i | 0.786110 | − | 1.36158i | −0.142224 | − | 0.989835i | \(-0.545425\pi\) |
0.928334 | − | 0.371748i | \(-0.121241\pi\) | |||||||
\(860\) | 1.76621 | − | 4.28900i | 0.0602271 | − | 0.146254i | ||||
\(861\) | 40.3042 | − | 3.37230i | 1.37356 | − | 0.114928i | ||||
\(862\) | −12.2275 | + | 7.05952i | −0.416469 | + | 0.240448i | ||||
\(863\) | 6.33982i | 0.215810i | 0.994161 | + | 0.107905i | \(0.0344142\pi\) | ||||
−0.994161 | + | 0.107905i | \(0.965586\pi\) | |||||||
\(864\) | 2.58812 | − | 9.23757i | 0.0880495 | − | 0.314269i | ||||
\(865\) | 43.3691 | − | 5.80070i | 1.47459 | − | 0.197230i | ||||
\(866\) | 13.6639 | + | 23.6666i | 0.464318 | + | 0.804223i | ||||
\(867\) | −2.31780 | − | 27.7013i | −0.0787167 | − | 0.940787i | ||||
\(868\) | −11.8403 | − | 6.83601i | −0.401887 | − | 0.232029i | ||||
\(869\) | −1.22749 | + | 2.12608i | −0.0416399 | + | 0.0721224i | ||||
\(870\) | −19.9945 | + | 18.2581i | −0.677875 | + | 0.619008i | ||||
\(871\) | 13.9631 | + | 24.1849i | 0.473123 | + | 0.819474i | ||||
\(872\) | 26.8161i | 0.908107i | ||||||||
\(873\) | 19.1122 | − | 15.7917i | 0.646850 | − | 0.534469i | ||||
\(874\) | −16.9681 | −0.573955 | ||||||||
\(875\) | 38.3605 | + | 29.0597i | 1.29682 | + | 0.982396i | ||||
\(876\) | 0.804327 | − | 1.70796i | 0.0271757 | − | 0.0577065i | ||||
\(877\) | 9.44831 | + | 5.45498i | 0.319047 | + | 0.184202i | 0.650968 | − | 0.759106i | \(-0.274363\pi\) |
−0.331921 | + | 0.943307i | \(0.607697\pi\) | |||||||
\(878\) | 19.1254 | + | 11.0420i | 0.645449 | + | 0.372650i | ||||
\(879\) | 8.65964 | − | 18.3884i | 0.292083 | − | 0.620225i | ||||
\(880\) | 8.05977 | − | 6.21093i | 0.271695 | − | 0.209371i | ||||
\(881\) | −8.87958 | −0.299161 | −0.149580 | − | 0.988750i | \(-0.547792\pi\) | ||||
−0.149580 | + | 0.988750i | \(0.547792\pi\) | |||||||
\(882\) | −8.77173 | − | 52.0510i | −0.295360 | − | 1.75265i | ||||
\(883\) | 4.32773i | 0.145640i | 0.997345 | + | 0.0728198i | \(0.0231998\pi\) | ||||
−0.997345 | + | 0.0728198i | \(0.976800\pi\) | |||||||
\(884\) | −0.386973 | − | 0.670258i | −0.0130153 | − | 0.0225432i | ||||
\(885\) | −10.0342 | − | 10.9885i | −0.337297 | − | 0.369374i | ||||
\(886\) | −3.01720 | + | 5.22595i | −0.101365 | + | 0.175569i | ||||
\(887\) | 35.8918 | + | 20.7222i | 1.20513 | + | 0.695782i | 0.961692 | − | 0.274134i | \(-0.0883912\pi\) |
0.243439 | + | 0.969916i | \(0.421724\pi\) | |||||||
\(888\) | 2.53603 | + | 30.3095i | 0.0851035 | + | 1.01712i | ||||
\(889\) | 38.9346 | + | 67.4367i | 1.30582 | + | 2.26175i | ||||
\(890\) | 24.1415 | − | 3.22896i | 0.809224 | − | 0.108235i | ||||
\(891\) | −6.80591 | − | 5.88893i | −0.228007 | − | 0.197287i | ||||
\(892\) | 1.47493i | 0.0493844i | ||||||||
\(893\) | −7.73704 | + | 4.46698i | −0.258910 | + | 0.149482i | ||||
\(894\) | −19.8681 | + | 1.66239i | −0.664490 | + | 0.0555986i | ||||
\(895\) | 19.5381 | + | 8.04578i | 0.653088 | + | 0.268941i | ||||
\(896\) | 28.5863 | − | 49.5129i | 0.955001 | − | 1.65411i | ||||
\(897\) | −23.5445 | + | 16.3534i | −0.786129 | + | 0.546025i | ||||
\(898\) | −41.1555 | + | 23.7611i | −1.37338 | + | 0.792920i | ||||
\(899\) | 44.1468 | 1.47238 | ||||||||
\(900\) | −4.48739 | + | 2.07366i | −0.149580 | + | 0.0691221i | ||||
\(901\) | −5.77373 | −0.192351 | ||||||||
\(902\) | −7.17065 | + | 4.13998i | −0.238757 | + | 0.137846i | ||||
\(903\) | −42.4556 | − | 19.9936i | −1.41283 | − | 0.665345i | ||||
\(904\) | 14.2057 | − | 24.6049i | 0.472473 | − | 0.818348i | ||||
\(905\) | −32.2508 | − | 13.2808i | −1.07205 | − | 0.441470i | ||||
\(906\) | −9.03810 | + | 19.1920i | −0.300271 | + | 0.637612i | ||||
\(907\) | 2.58456 | − | 1.49220i | 0.0858189 | − | 0.0495476i | −0.456476 | − | 0.889736i | \(-0.650889\pi\) |
0.542295 | + | 0.840188i | \(0.317555\pi\) | |||||||
\(908\) | 1.60311i | 0.0532010i | ||||||||
\(909\) | −28.8926 | − | 34.9678i | −0.958308 | − | 1.15981i | ||||
\(910\) | −35.0701 | + | 4.69069i | −1.16256 | + | 0.155495i | ||||
\(911\) | −1.59280 | − | 2.75881i | −0.0527717 | − | 0.0914033i | 0.838433 | − | 0.545005i | \(-0.183472\pi\) |
−0.891205 | + | 0.453602i | \(0.850139\pi\) | |||||||
\(912\) | −10.4728 | + | 7.27416i | −0.346790 | + | 0.240871i | ||||
\(913\) | 11.4287 | + | 6.59836i | 0.378235 | + | 0.218374i | ||||
\(914\) | 0.848891 | − | 1.47032i | 0.0280788 | − | 0.0486340i | ||||
\(915\) | 35.6700 | − | 7.84325i | 1.17921 | − | 0.259290i | ||||
\(916\) | 2.79904 | + | 4.84808i | 0.0924829 | + | 0.160185i | ||||
\(917\) | 1.38897i | 0.0458677i | ||||||||
\(918\) | −5.52987 | + | 5.40553i | −0.182513 | + | 0.178409i | ||||
\(919\) | 21.3228 | 0.703374 | 0.351687 | − | 0.936118i | \(-0.385608\pi\) | ||||
0.351687 | + | 0.936118i | \(0.385608\pi\) | |||||||
\(920\) | −31.0311 | + | 23.9128i | −1.02306 | + | 0.788383i | ||||
\(921\) | −36.3989 | + | 3.04553i | −1.19938 | + | 0.100354i | ||||
\(922\) | −22.0625 | − | 12.7378i | −0.726590 | − | 0.419497i | ||||
\(923\) | −9.96486 | − | 5.75321i | −0.327997 | − | 0.189369i | ||||
\(924\) | 1.40164 | + | 2.01798i | 0.0461105 | + | 0.0663867i | ||||
\(925\) | 24.2505 | − | 24.4514i | 0.797351 | − | 0.803958i | ||||
\(926\) | 27.1450 | 0.892038 | ||||||||
\(927\) | 31.9380 | + | 11.8994i | 1.04898 | + | 0.390828i | ||||
\(928\) | − | 8.45660i | − | 0.277601i | ||||||
\(929\) | 21.0811 | + | 36.5136i | 0.691649 | + | 1.19797i | 0.971297 | + | 0.237869i | \(0.0764489\pi\) |
−0.279648 | + | 0.960103i | \(0.590218\pi\) | |||||||
\(930\) | 54.3067 | + | 17.2260i | 1.78079 | + | 0.564863i | ||||
\(931\) | −9.32509 | + | 16.1515i | −0.305618 | + | 0.529345i | ||||
\(932\) | 3.06842 | + | 1.77155i | 0.100509 | + | 0.0580291i | ||||
\(933\) | 18.4380 | + | 8.68300i | 0.603633 | + | 0.284269i | ||||
\(934\) | −22.7391 | − | 39.3852i | −0.744045 | − | 1.28872i | ||||
\(935\) | −2.16105 | + | 0.289044i | −0.0706738 | + | 0.00945274i | ||||
\(936\) | −6.43179 | + | 17.2629i | −0.210230 | + | 0.564257i | ||||
\(937\) | 31.4363i | 1.02698i | 0.858096 | + | 0.513489i | \(0.171647\pi\) | ||||
−0.858096 | + | 0.513489i | \(0.828353\pi\) | |||||||
\(938\) | −65.9694 | + | 38.0875i | −2.15398 | + | 1.24360i | ||||
\(939\) | 4.93329 | + | 7.10260i | 0.160992 | + | 0.231785i | ||||
\(940\) | 1.54952 | − | 3.76282i | 0.0505399 | − | 0.122730i | ||||
\(941\) | −6.63306 | + | 11.4888i | −0.216232 | + | 0.374524i | −0.953653 | − | 0.300909i | \(-0.902710\pi\) |
0.737421 | + | 0.675433i | \(0.236043\pi\) | |||||||
\(942\) | −3.87927 | − | 46.3634i | −0.126394 | − | 1.51060i | ||||
\(943\) | 32.2840 | − | 18.6392i | 1.05131 | − | 0.606975i | ||||
\(944\) | 17.4838 | 0.569048 | ||||||||
\(945\) | 18.7082 | + | 46.3819i | 0.608578 | + | 1.50880i | ||||
\(946\) | 9.60711 | 0.312354 | ||||||||
\(947\) | 7.39605 | − | 4.27011i | 0.240339 | − | 0.138760i | −0.374993 | − | 0.927027i | \(-0.622355\pi\) |
0.615333 | + | 0.788268i | \(0.289022\pi\) | |||||||
\(948\) | 0.116842 | + | 1.39645i | 0.00379487 | + | 0.0453546i | ||||
\(949\) | −3.98294 | + | 6.89865i | −0.129292 | + | 0.223940i | ||||
\(950\) | 11.9387 | + | 3.14623i | 0.387343 | + | 0.102077i | ||||
\(951\) | 11.9395 | + | 17.1896i | 0.387165 | + | 0.557413i | ||||
\(952\) | −9.26706 | + | 5.35034i | −0.300347 | + | 0.173406i | ||||
\(953\) | 5.24954i | 0.170049i | 0.996379 | + | 0.0850247i | \(0.0270969\pi\) | ||||
−0.996379 | + | 0.0850247i | \(0.972903\pi\) | |||||||
\(954\) | −17.2703 | − | 20.9016i | −0.559146 | − | 0.676715i | ||||
\(955\) | 6.00185 | + | 44.8730i | 0.194215 | + | 1.45206i | ||||
\(956\) | 1.98951 | + | 3.44593i | 0.0643454 | + | 0.111449i | ||||
\(957\) | −7.17754 | − | 3.38011i | −0.232017 | − | 0.109264i | ||||
\(958\) | 11.1067 | + | 6.41243i | 0.358840 | + | 0.207176i | ||||
\(959\) | 3.69165 | − | 6.39412i | 0.119210 | − | 0.206477i | ||||
\(960\) | −7.35759 | + | 23.1955i | −0.237465 | + | 0.748633i | ||||
\(961\) | −30.9459 | − | 53.5999i | −0.998256 | − | 1.72903i | ||||
\(962\) | 25.3194i | 0.816329i | ||||||||
\(963\) | 5.93806 | + | 35.2361i | 0.191351 | + | 1.13547i | ||||
\(964\) | 6.69463 | 0.215620 | ||||||||
\(965\) | −6.68592 | − | 8.67614i | −0.215227 | − | 0.279295i | ||||
\(966\) | −44.6075 | − | 64.2227i | −1.43522 | − | 2.06633i | ||||
\(967\) | −45.3955 | − | 26.2091i | −1.45982 | − | 0.842828i | −0.460820 | − | 0.887494i | \(-0.652445\pi\) |
−0.999002 | + | 0.0446653i | \(0.985778\pi\) | |||||||
\(968\) | 2.20800 | + | 1.27479i | 0.0709678 | + | 0.0409733i | ||||
\(969\) | 2.72274 | − | 0.227815i | 0.0874670 | − | 0.00731846i | ||||
\(970\) | 22.3405 | − | 17.2158i | 0.717312 | − | 0.552767i | ||||
\(971\) | 48.9045 | 1.56942 | 0.784711 | − | 0.619862i | \(-0.212812\pi\) | ||||
0.784711 | + | 0.619862i | \(0.212812\pi\) | |||||||
\(972\) | −5.10833 | − | 0.544634i | −0.163850 | − | 0.0174691i | ||||
\(973\) | − | 21.8820i | − | 0.701506i | ||||||
\(974\) | 3.35262 | + | 5.80691i | 0.107425 | + | 0.186065i | ||||
\(975\) | 19.5981 | − | 7.14060i | 0.627643 | − | 0.228682i | ||||
\(976\) | −21.4556 | + | 37.1622i | −0.686776 | + | 1.18953i | ||||
\(977\) | −19.7507 | − | 11.4031i | −0.631881 | − | 0.364817i | 0.149599 | − | 0.988747i | \(-0.452202\pi\) |
−0.781480 | + | 0.623930i | \(0.785535\pi\) | |||||||
\(978\) | −49.2883 | + | 34.2344i | −1.57607 | + | 1.09470i | ||||
\(979\) | 3.56831 | + | 6.18049i | 0.114044 | + | 0.197529i | ||||
\(980\) | −1.12620 | − | 8.42009i | −0.0359752 | − | 0.268970i | ||||
\(981\) | 31.1148 | − | 5.24353i | 0.993419 | − | 0.167413i | ||||
\(982\) | 38.7428i | 1.23633i | ||||||||
\(983\) | 6.88744 | − | 3.97646i | 0.219675 | − | 0.126829i | −0.386125 | − | 0.922447i | \(-0.626187\pi\) |
0.605800 | + | 0.795617i | \(0.292853\pi\) | |||||||
\(984\) | 10.2066 | − | 21.6733i | 0.325374 | − | 0.690919i | ||||
\(985\) | 15.1428 | − | 36.7724i | 0.482491 | − | 1.17167i | ||||
\(986\) | −3.40837 | + | 5.90346i | −0.108544 | + | 0.188005i | ||||
\(987\) | −37.2470 | − | 17.5407i | −1.18559 | − | 0.558328i | ||||
\(988\) | −1.11210 | + | 0.642071i | −0.0353806 | + | 0.0204270i | ||||
\(989\) | −43.2535 | −1.37538 | ||||||||
\(990\) | −7.51045 | − | 6.95867i | −0.238698 | − | 0.221161i | ||||
\(991\) | 32.9817 | 1.04770 | 0.523850 | − | 0.851811i | \(-0.324495\pi\) | ||||
0.523850 | + | 0.851811i | \(0.324495\pi\) | |||||||
\(992\) | −15.4101 | + | 8.89701i | −0.489270 | + | 0.282480i | ||||
\(993\) | 24.2601 | − | 16.8504i | 0.769869 | − | 0.534732i | ||||
\(994\) | 15.6931 | − | 27.1813i | 0.497755 | − | 0.862137i | ||||
\(995\) | −10.8933 | − | 4.48583i | −0.345340 | − | 0.142210i | ||||
\(996\) | 7.50657 | − | 0.628083i | 0.237855 | − | 0.0199016i | ||||
\(997\) | −17.4914 | + | 10.0987i | −0.553958 | + | 0.319828i | −0.750717 | − | 0.660624i | \(-0.770292\pi\) |
0.196759 | + | 0.980452i | \(0.436958\pi\) | |||||||
\(998\) | − | 17.2019i | − | 0.544517i | ||||||
\(999\) | 34.6723 | − | 8.86918i | 1.09698 | − | 0.280608i |
(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 | 495.2.u.a.364.6 | yes | 52 | |
5.4 | even | 2 | inner | 495.2.u.a.364.21 | yes | 52 | |
9.7 | even | 3 | inner | 495.2.u.a.34.21 | yes | 52 | |
45.34 | even | 6 | inner | 495.2.u.a.34.6 | ✓ | 52 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
495.2.u.a.34.6 | ✓ | 52 | 45.34 | even | 6 | inner | |
495.2.u.a.34.21 | yes | 52 | 9.7 | even | 3 | inner | |
495.2.u.a.364.6 | yes | 52 | 1.1 | even | 1 | trivial | |
495.2.u.a.364.21 | yes | 52 | 5.4 | even | 2 | inner |