Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [224,2,Mod(29,224)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(224, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 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("224.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 224 = 2^{5} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 224.u (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.78864900528\) |
Analytic rank: | \(0\) |
Dimension: | \(52\) |
Relative dimension: | \(13\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 29.5 | ||
Character | \(\chi\) | \(=\) | 224.29 |
Dual form | 224.2.u.c.85.5 |
$q$-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 \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(197\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{3}{8}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.742328 | + | 1.20372i | −0.524905 | + | 0.851161i | ||||
\(3\) | −2.57348 | − | 1.06597i | −1.48580 | − | 0.615438i | −0.515401 | − | 0.856949i | \(-0.672357\pi\) |
−0.970398 | + | 0.241511i | \(0.922357\pi\) | |||||||
\(4\) | −0.897897 | − | 1.78712i | −0.448949 | − | 0.893558i | ||||
\(5\) | 0.224493 | + | 0.541974i | 0.100396 | + | 0.242378i | 0.966095 | − | 0.258188i | \(-0.0831253\pi\) |
−0.865698 | + | 0.500566i | \(0.833125\pi\) | |||||||
\(6\) | 3.19350 | − | 2.30646i | 1.30374 | − | 0.941607i | ||||
\(7\) | 0.707107 | − | 0.707107i | 0.267261 | − | 0.267261i | ||||
\(8\) | 2.81773 | + | 0.245807i | 0.996217 | + | 0.0869060i | ||||
\(9\) | 3.36518 | + | 3.36518i | 1.12173 | + | 1.12173i | ||||
\(10\) | −0.819034 | − | 0.132095i | −0.259001 | − | 0.0417722i | ||||
\(11\) | −1.09825 | + | 0.454908i | −0.331133 | + | 0.137160i | −0.542055 | − | 0.840343i | \(-0.682354\pi\) |
0.210922 | + | 0.977503i | \(0.432354\pi\) | |||||||
\(12\) | 0.405708 | + | 5.55624i | 0.117118 | + | 1.60395i | ||||
\(13\) | −2.06621 | + | 4.98828i | −0.573064 | + | 1.38350i | 0.325869 | + | 0.945415i | \(0.394343\pi\) |
−0.898934 | + | 0.438085i | \(0.855657\pi\) | |||||||
\(14\) | 0.326255 | + | 1.37607i | 0.0871953 | + | 0.367769i | ||||
\(15\) | − | 1.63406i | − | 0.421913i | ||||||
\(16\) | −2.38756 | + | 3.20929i | −0.596890 | + | 0.802323i | ||||
\(17\) | 4.80202i | 1.16466i | 0.812953 | + | 0.582330i | \(0.197859\pi\) | ||||
−0.812953 | + | 0.582330i | \(0.802141\pi\) | |||||||
\(18\) | −6.54882 | + | 1.55268i | −1.54357 | + | 0.365970i | ||||
\(19\) | 0.405629 | − | 0.979276i | 0.0930577 | − | 0.224661i | −0.870496 | − | 0.492175i | \(-0.836202\pi\) |
0.963554 | + | 0.267514i | \(0.0862020\pi\) | |||||||
\(20\) | 0.766999 | − | 0.887832i | 0.171506 | − | 0.198525i | ||||
\(21\) | −2.57348 | + | 1.06597i | −0.561579 | + | 0.232614i | ||||
\(22\) | 0.267675 | − | 1.65967i | 0.0570686 | − | 0.353844i | ||||
\(23\) | 6.19515 | + | 6.19515i | 1.29178 | + | 1.29178i | 0.933687 | + | 0.358091i | \(0.116572\pi\) |
0.358091 | + | 0.933687i | \(0.383428\pi\) | |||||||
\(24\) | −6.98934 | − | 3.63619i | −1.42669 | − | 0.742234i | ||||
\(25\) | 3.29220 | − | 3.29220i | 0.658439 | − | 0.658439i | ||||
\(26\) | −4.47070 | − | 6.19009i | −0.876776 | − | 1.21398i | ||||
\(27\) | −1.87514 | − | 4.52698i | −0.360870 | − | 0.871218i | ||||
\(28\) | −1.89859 | − | 0.628772i | −0.358800 | − | 0.118827i | ||||
\(29\) | 6.64507 | + | 2.75248i | 1.23396 | + | 0.511123i | 0.901822 | − | 0.432108i | \(-0.142230\pi\) |
0.332137 | + | 0.943231i | \(0.392230\pi\) | |||||||
\(30\) | 1.96696 | + | 1.21301i | 0.359116 | + | 0.221464i | ||||
\(31\) | −3.40658 | −0.611841 | −0.305920 | − | 0.952057i | \(-0.598964\pi\) | ||||
−0.305920 | + | 0.952057i | \(0.598964\pi\) | |||||||
\(32\) | −2.09074 | − | 5.25631i | −0.369594 | − | 0.929193i | ||||
\(33\) | 3.31123 | 0.576411 | ||||||||
\(34\) | −5.78030 | − | 3.56467i | −0.991313 | − | 0.611336i | ||||
\(35\) | 0.541974 | + | 0.224493i | 0.0916103 | + | 0.0379462i | ||||
\(36\) | 2.99238 | − | 9.03556i | 0.498731 | − | 1.50593i | ||||
\(37\) | −0.217247 | − | 0.524481i | −0.0357152 | − | 0.0862242i | 0.905015 | − | 0.425379i | \(-0.139859\pi\) |
−0.940731 | + | 0.339154i | \(0.889859\pi\) | |||||||
\(38\) | 0.877666 | + | 1.21521i | 0.142376 | + | 0.197133i | ||||
\(39\) | 10.6347 | − | 10.6347i | 1.70292 | − | 1.70292i | ||||
\(40\) | 0.499339 | + | 1.58232i | 0.0789524 | + | 0.250186i | ||||
\(41\) | −0.723886 | − | 0.723886i | −0.113052 | − | 0.113052i | 0.648318 | − | 0.761370i | \(-0.275473\pi\) |
−0.761370 | + | 0.648318i | \(0.775473\pi\) | |||||||
\(42\) | 0.627234 | − | 3.88906i | 0.0967844 | − | 0.600094i | ||||
\(43\) | −11.6520 | + | 4.82641i | −1.77691 | + | 0.736020i | −0.783501 | + | 0.621391i | \(0.786568\pi\) |
−0.993408 | + | 0.114629i | \(0.963432\pi\) | |||||||
\(44\) | 1.79908 | + | 1.55423i | 0.271222 | + | 0.234309i | ||||
\(45\) | −1.06838 | + | 2.57930i | −0.159265 | + | 0.384500i | ||||
\(46\) | −12.0561 | + | 2.85841i | −1.77757 | + | 0.421449i | ||||
\(47\) | 0.198936i | 0.0290179i | 0.999895 | + | 0.0145089i | \(0.00461850\pi\) | ||||
−0.999895 | + | 0.0145089i | \(0.995382\pi\) | |||||||
\(48\) | 9.56535 | − | 5.71398i | 1.38064 | − | 0.824741i | ||||
\(49\) | − | 1.00000i | − | 0.142857i | ||||||
\(50\) | 1.51900 | + | 6.40678i | 0.214819 | + | 0.906056i | ||||
\(51\) | 5.11881 | − | 12.3579i | 0.716776 | − | 1.73045i | ||||
\(52\) | 10.7699 | − | 0.786401i | 1.49351 | − | 0.109054i | ||||
\(53\) | 2.76029 | − | 1.14335i | 0.379156 | − | 0.157051i | −0.184962 | − | 0.982746i | \(-0.559216\pi\) |
0.564118 | + | 0.825694i | \(0.309216\pi\) | |||||||
\(54\) | 6.84120 | + | 1.10336i | 0.930969 | + | 0.150148i | ||||
\(55\) | −0.493097 | − | 0.493097i | −0.0664892 | − | 0.0664892i | ||||
\(56\) | 2.16624 | − | 1.81862i | 0.289477 | − | 0.243023i | ||||
\(57\) | −2.08776 | + | 2.08776i | −0.276530 | + | 0.276530i | ||||
\(58\) | −8.24605 | + | 5.95558i | −1.08276 | + | 0.782006i | ||||
\(59\) | 1.34600 | + | 3.24953i | 0.175234 | + | 0.423053i | 0.986956 | − | 0.160992i | \(-0.0514693\pi\) |
−0.811721 | + | 0.584045i | \(0.801469\pi\) | |||||||
\(60\) | −2.92026 | + | 1.46722i | −0.377004 | + | 0.189417i | ||||
\(61\) | −6.99452 | − | 2.89723i | −0.895557 | − | 0.370952i | −0.113047 | − | 0.993590i | \(-0.536061\pi\) |
−0.782510 | + | 0.622638i | \(0.786061\pi\) | |||||||
\(62\) | 2.52880 | − | 4.10058i | 0.321159 | − | 0.520775i | ||||
\(63\) | 4.75909 | 0.599589 | ||||||||
\(64\) | 7.87916 | + | 1.38523i | 0.984895 | + | 0.173154i | ||||
\(65\) | −3.16737 | −0.392864 | ||||||||
\(66\) | −2.45802 | + | 3.98580i | −0.302561 | + | 0.490618i | ||||
\(67\) | 6.43806 | + | 2.66673i | 0.786534 | + | 0.325793i | 0.739549 | − | 0.673102i | \(-0.235039\pi\) |
0.0469850 | + | 0.998896i | \(0.485039\pi\) | |||||||
\(68\) | 8.58176 | − | 4.31172i | 1.04069 | − | 0.522872i | ||||
\(69\) | −9.33925 | − | 22.5469i | −1.12431 | − | 2.71433i | ||||
\(70\) | −0.672550 | + | 0.485739i | −0.0803851 | + | 0.0580569i | ||||
\(71\) | −1.47392 | + | 1.47392i | −0.174922 | + | 0.174922i | −0.789138 | − | 0.614216i | \(-0.789472\pi\) |
0.614216 | + | 0.789138i | \(0.289472\pi\) | |||||||
\(72\) | 8.65498 | + | 10.3094i | 1.02000 | + | 1.21497i | ||||
\(73\) | 8.18961 | + | 8.18961i | 0.958522 | + | 0.958522i | 0.999173 | − | 0.0406517i | \(-0.0129434\pi\) |
−0.0406517 | + | 0.999173i | \(0.512943\pi\) | |||||||
\(74\) | 0.792599 | + | 0.127832i | 0.0921378 | + | 0.0148602i | ||||
\(75\) | −11.9818 | + | 4.96302i | −1.38354 | + | 0.573080i | ||||
\(76\) | −2.11429 | + | 0.154383i | −0.242526 | + | 0.0177089i | ||||
\(77\) | −0.454908 | + | 1.09825i | −0.0518416 | + | 0.125157i | ||||
\(78\) | 4.90680 | + | 20.6957i | 0.555585 | + | 2.34333i | ||||
\(79\) | 4.18093i | 0.470391i | 0.971948 | + | 0.235195i | \(0.0755730\pi\) | ||||
−0.971948 | + | 0.235195i | \(0.924427\pi\) | |||||||
\(80\) | −2.27534 | − | 0.573533i | −0.254391 | − | 0.0641230i | ||||
\(81\) | − | 0.628336i | − | 0.0698151i | ||||||
\(82\) | 1.40872 | − | 0.333997i | 0.155567 | − | 0.0368838i | ||||
\(83\) | −1.27637 | + | 3.08144i | −0.140100 | + | 0.338231i | −0.978319 | − | 0.207102i | \(-0.933597\pi\) |
0.838219 | + | 0.545333i | \(0.183597\pi\) | |||||||
\(84\) | 4.21573 | + | 3.64197i | 0.459974 | + | 0.397372i | ||||
\(85\) | −2.60257 | + | 1.07802i | −0.282288 | + | 0.116928i | ||||
\(86\) | 2.83994 | − | 17.6085i | 0.306238 | − | 1.89878i | ||||
\(87\) | −14.1669 | − | 14.1669i | −1.51885 | − | 1.51885i | ||||
\(88\) | −3.20637 | + | 1.01185i | −0.341801 | + | 0.107864i | ||||
\(89\) | −4.11110 | + | 4.11110i | −0.435776 | + | 0.435776i | −0.890588 | − | 0.454812i | \(-0.849707\pi\) |
0.454812 | + | 0.890588i | \(0.349707\pi\) | |||||||
\(90\) | −2.31168 | − | 3.20073i | −0.243672 | − | 0.337386i | ||||
\(91\) | 2.06621 | + | 4.98828i | 0.216598 | + | 0.522914i | ||||
\(92\) | 5.50884 | − | 16.6341i | 0.574336 | − | 1.73422i | ||||
\(93\) | 8.76678 | + | 3.63132i | 0.909072 | + | 0.376550i | ||||
\(94\) | −0.239464 | − | 0.147676i | −0.0246989 | − | 0.0152316i | ||||
\(95\) | 0.621803 | 0.0637956 | ||||||||
\(96\) | −0.222588 | + | 15.7557i | −0.0227178 | + | 1.60806i | ||||
\(97\) | −18.0420 | −1.83188 | −0.915942 | − | 0.401311i | \(-0.868555\pi\) | ||||
−0.915942 | + | 0.401311i | \(0.868555\pi\) | |||||||
\(98\) | 1.20372 | + | 0.742328i | 0.121594 | + | 0.0749865i | ||||
\(99\) | −5.22665 | − | 2.16495i | −0.525298 | − | 0.217585i | ||||
\(100\) | −8.83958 | − | 2.92748i | −0.883958 | − | 0.292748i | ||||
\(101\) | −6.10824 | − | 14.7466i | −0.607793 | − | 1.46734i | −0.865395 | − | 0.501091i | \(-0.832932\pi\) |
0.257602 | − | 0.966251i | \(-0.417068\pi\) | |||||||
\(102\) | 11.0756 | + | 15.3352i | 1.09665 | + | 1.51841i | ||||
\(103\) | 8.13717 | − | 8.13717i | 0.801779 | − | 0.801779i | −0.181594 | − | 0.983374i | \(-0.558126\pi\) |
0.983374 | + | 0.181594i | \(0.0581258\pi\) | |||||||
\(104\) | −7.04818 | + | 13.5477i | −0.691130 | + | 1.32846i | ||||
\(105\) | −1.15546 | − | 1.15546i | −0.112761 | − | 0.112761i | ||||
\(106\) | −0.672767 | + | 4.17137i | −0.0653449 | + | 0.405159i | ||||
\(107\) | −13.4230 | + | 5.55999i | −1.29765 | + | 0.537505i | −0.921257 | − | 0.388954i | \(-0.872836\pi\) |
−0.376395 | + | 0.926459i | \(0.622836\pi\) | |||||||
\(108\) | −6.40656 | + | 7.41585i | −0.616471 | + | 0.713590i | ||||
\(109\) | 3.16762 | − | 7.64731i | 0.303403 | − | 0.732480i | −0.696486 | − | 0.717571i | \(-0.745254\pi\) |
0.999889 | − | 0.0149093i | \(-0.00474595\pi\) | |||||||
\(110\) | 0.959592 | − | 0.227512i | 0.0914935 | − | 0.0216924i | ||||
\(111\) | 1.58132i | 0.150092i | ||||||||
\(112\) | 0.581050 | + | 3.95757i | 0.0549041 | + | 0.373955i | ||||
\(113\) | − | 1.66796i | − | 0.156908i | −0.996918 | − | 0.0784541i | \(-0.975002\pi\) | ||
0.996918 | − | 0.0784541i | \(-0.0249984\pi\) | |||||||
\(114\) | −0.963280 | − | 4.06288i | −0.0902194 | − | 0.380524i | ||||
\(115\) | −1.96684 | + | 4.74838i | −0.183409 | + | 0.442789i | ||||
\(116\) | −1.04759 | − | 14.3470i | −0.0972667 | − | 1.33208i | ||||
\(117\) | −23.7397 | + | 9.83329i | −2.19473 | + | 0.909088i | ||||
\(118\) | −4.91071 | − | 0.792009i | −0.452067 | − | 0.0729103i | ||||
\(119\) | 3.39554 | + | 3.39554i | 0.311268 | + | 0.311268i | ||||
\(120\) | 0.401664 | − | 4.60434i | 0.0366668 | − | 0.420317i | ||||
\(121\) | −6.77897 | + | 6.77897i | −0.616270 | + | 0.616270i | ||||
\(122\) | 8.67969 | − | 6.26877i | 0.785822 | − | 0.567548i | ||||
\(123\) | 1.09126 | + | 2.63455i | 0.0983960 | + | 0.237549i | ||||
\(124\) | 3.05876 | + | 6.08796i | 0.274685 | + | 0.546715i | ||||
\(125\) | 5.23323 | + | 2.16767i | 0.468074 | + | 0.193883i | ||||
\(126\) | −3.53281 | + | 5.72862i | −0.314727 | + | 0.510346i | ||||
\(127\) | −3.06662 | −0.272118 | −0.136059 | − | 0.990701i | \(-0.543444\pi\) | ||||
−0.136059 | + | 0.990701i | \(0.543444\pi\) | |||||||
\(128\) | −7.51636 | + | 8.45602i | −0.664359 | + | 0.747414i | ||||
\(129\) | 35.1309 | 3.09310 | ||||||||
\(130\) | 2.35123 | − | 3.81263i | 0.206216 | − | 0.334390i | ||||
\(131\) | 14.6192 | + | 6.05548i | 1.27729 | + | 0.529070i | 0.915172 | − | 0.403063i | \(-0.132055\pi\) |
0.362116 | + | 0.932133i | \(0.382055\pi\) | |||||||
\(132\) | −2.97314 | − | 5.91755i | −0.258779 | − | 0.515057i | ||||
\(133\) | −0.405629 | − | 0.979276i | −0.0351725 | − | 0.0849140i | ||||
\(134\) | −7.98916 | + | 5.77005i | −0.690158 | + | 0.498456i | ||||
\(135\) | 2.03255 | − | 2.03255i | 0.174934 | − | 0.174934i | ||||
\(136\) | −1.18037 | + | 13.5308i | −0.101216 | + | 1.16025i | ||||
\(137\) | 10.6891 | + | 10.6891i | 0.913235 | + | 0.913235i | 0.996525 | − | 0.0832903i | \(-0.0265429\pi\) |
−0.0832903 | + | 0.996525i | \(0.526543\pi\) | |||||||
\(138\) | 34.0730 | + | 5.49537i | 2.90049 | + | 0.467797i | ||||
\(139\) | 13.2712 | − | 5.49711i | 1.12565 | − | 0.466258i | 0.259348 | − | 0.965784i | \(-0.416492\pi\) |
0.866299 | + | 0.499526i | \(0.166492\pi\) | |||||||
\(140\) | −0.0854421 | − | 1.17014i | −0.00722117 | − | 0.0988950i | ||||
\(141\) | 0.212060 | − | 0.511959i | 0.0178587 | − | 0.0431147i | ||||
\(142\) | −0.680056 | − | 2.86831i | −0.0570690 | − | 0.240704i | ||||
\(143\) | − | 6.41829i | − | 0.536724i | ||||||
\(144\) | −18.8344 | + | 2.76527i | −1.56954 | + | 0.230439i | ||||
\(145\) | 4.21937i | 0.350400i | ||||||||
\(146\) | −15.9374 | + | 3.77864i | −1.31899 | + | 0.312723i | ||||
\(147\) | −1.06597 | + | 2.57348i | −0.0879197 | + | 0.212257i | ||||
\(148\) | −0.742243 | + | 0.859176i | −0.0610120 | + | 0.0706239i | ||||
\(149\) | 21.4031 | − | 8.86546i | 1.75341 | − | 0.726287i | 0.755985 | − | 0.654589i | \(-0.227158\pi\) |
0.997426 | − | 0.0716978i | \(-0.0228417\pi\) | |||||||
\(150\) | 2.92032 | − | 18.1069i | 0.238443 | − | 1.47842i | ||||
\(151\) | −13.3987 | − | 13.3987i | −1.09037 | − | 1.09037i | −0.995489 | − | 0.0948783i | \(-0.969754\pi\) |
−0.0948783 | − | 0.995489i | \(-0.530246\pi\) | |||||||
\(152\) | 1.38367 | − | 2.65962i | 0.112230 | − | 0.215724i | ||||
\(153\) | −16.1597 | + | 16.1597i | −1.30643 | + | 1.30643i | ||||
\(154\) | −0.984292 | − | 1.36284i | −0.0793165 | − | 0.109821i | ||||
\(155\) | −0.764755 | − | 1.84628i | −0.0614266 | − | 0.148297i | ||||
\(156\) | −28.5543 | − | 9.45658i | −2.28618 | − | 0.757132i | ||||
\(157\) | 16.0436 | + | 6.64549i | 1.28042 | + | 0.530368i | 0.916117 | − | 0.400912i | \(-0.131307\pi\) |
0.364305 | + | 0.931280i | \(0.381307\pi\) | |||||||
\(158\) | −5.03268 | − | 3.10362i | −0.400378 | − | 0.246911i | ||||
\(159\) | −8.32234 | −0.660004 | ||||||||
\(160\) | 2.37943 | − | 2.31313i | 0.188110 | − | 0.182869i | ||||
\(161\) | 8.76126 | 0.690484 | ||||||||
\(162\) | 0.756342 | + | 0.466431i | 0.0594238 | + | 0.0366463i | ||||
\(163\) | 5.50858 | + | 2.28173i | 0.431465 | + | 0.178719i | 0.587837 | − | 0.808980i | \(-0.299980\pi\) |
−0.156372 | + | 0.987698i | \(0.549980\pi\) | |||||||
\(164\) | −0.643692 | + | 1.94364i | −0.0502639 | + | 0.151773i | ||||
\(165\) | 0.743348 | + | 1.79460i | 0.0578696 | + | 0.139709i | ||||
\(166\) | −2.76171 | − | 3.82384i | −0.214350 | − | 0.296787i | ||||
\(167\) | −8.92934 | + | 8.92934i | −0.690973 | + | 0.690973i | −0.962446 | − | 0.271473i | \(-0.912489\pi\) |
0.271473 | + | 0.962446i | \(0.412489\pi\) | |||||||
\(168\) | −7.51338 | + | 2.37103i | −0.579670 | + | 0.182929i | ||||
\(169\) | −11.4213 | − | 11.4213i | −0.878561 | − | 0.878561i | ||||
\(170\) | 0.634324 | − | 3.93302i | 0.0486505 | − | 0.301648i | ||||
\(171\) | 4.66046 | − | 1.93043i | 0.356394 | − | 0.147623i | ||||
\(172\) | 19.0876 | + | 16.4898i | 1.45542 | + | 1.25734i | ||||
\(173\) | 1.88645 | − | 4.55428i | 0.143424 | − | 0.346256i | −0.835801 | − | 0.549032i | \(-0.814996\pi\) |
0.979225 | + | 0.202776i | \(0.0649965\pi\) | |||||||
\(174\) | 27.5695 | − | 6.53653i | 2.09004 | − | 0.495533i | ||||
\(175\) | − | 4.65587i | − | 0.351950i | ||||||
\(176\) | 1.16220 | − | 4.61071i | 0.0876038 | − | 0.347545i | ||||
\(177\) | − | 9.79740i | − | 0.736417i | ||||||
\(178\) | −1.89684 | − | 8.00042i | −0.142174 | − | 0.599657i | ||||
\(179\) | −6.35185 | + | 15.3347i | −0.474759 | + | 1.14617i | 0.487277 | + | 0.873248i | \(0.337990\pi\) |
−0.962036 | + | 0.272923i | \(0.912010\pi\) | |||||||
\(180\) | 5.56881 | − | 0.406626i | 0.415075 | − | 0.0303081i | ||||
\(181\) | 10.3915 | − | 4.30429i | 0.772393 | − | 0.319935i | 0.0385515 | − | 0.999257i | \(-0.487726\pi\) |
0.733841 | + | 0.679321i | \(0.237726\pi\) | |||||||
\(182\) | −7.53831 | − | 1.21579i | −0.558777 | − | 0.0901206i | ||||
\(183\) | 14.9119 | + | 14.9119i | 1.10232 | + | 1.10232i | ||||
\(184\) | 15.9334 | + | 18.9790i | 1.17463 | + | 1.39915i | ||||
\(185\) | 0.235485 | − | 0.235485i | 0.0173132 | − | 0.0173132i | ||||
\(186\) | −10.8789 | + | 7.85714i | −0.797682 | + | 0.576113i | ||||
\(187\) | −2.18448 | − | 5.27379i | −0.159745 | − | 0.385658i | ||||
\(188\) | 0.355522 | − | 0.178624i | 0.0259291 | − | 0.0130275i | ||||
\(189\) | −4.52698 | − | 1.87514i | −0.329289 | − | 0.136396i | ||||
\(190\) | −0.461582 | + | 0.748478i | −0.0334867 | + | 0.0543003i | ||||
\(191\) | 6.49988 | 0.470315 | 0.235157 | − | 0.971957i | \(-0.424439\pi\) | ||||
0.235157 | + | 0.971957i | \(0.424439\pi\) | |||||||
\(192\) | −18.8002 | − | 11.9638i | −1.35679 | − | 0.863414i | ||||
\(193\) | −18.4391 | −1.32728 | −0.663638 | − | 0.748054i | \(-0.730989\pi\) | ||||
−0.663638 | + | 0.748054i | \(0.730989\pi\) | |||||||
\(194\) | 13.3931 | − | 21.7175i | 0.961566 | − | 1.55923i | ||||
\(195\) | 8.15116 | + | 3.37632i | 0.583716 | + | 0.241783i | ||||
\(196\) | −1.78712 | + | 0.897897i | −0.127651 | + | 0.0641355i | ||||
\(197\) | −2.52367 | − | 6.09269i | −0.179804 | − | 0.434086i | 0.808121 | − | 0.589016i | \(-0.200485\pi\) |
−0.987925 | + | 0.154930i | \(0.950485\pi\) | |||||||
\(198\) | 6.48589 | − | 4.68433i | 0.460932 | − | 0.332901i | ||||
\(199\) | −1.45945 | + | 1.45945i | −0.103458 | + | 0.103458i | −0.756941 | − | 0.653483i | \(-0.773307\pi\) |
0.653483 | + | 0.756941i | \(0.273307\pi\) | |||||||
\(200\) | 10.0857 | − | 8.46726i | 0.713170 | − | 0.598726i | ||||
\(201\) | −13.7256 | − | 13.7256i | −0.968126 | − | 0.968126i | ||||
\(202\) | 22.2851 | + | 3.59419i | 1.56798 | + | 0.252886i | ||||
\(203\) | 6.64507 | − | 2.75248i | 0.466393 | − | 0.193186i | ||||
\(204\) | −26.6811 | + | 1.94822i | −1.86805 | + | 0.136403i | ||||
\(205\) | 0.229820 | − | 0.554834i | 0.0160513 | − | 0.0387513i | ||||
\(206\) | 3.75444 | + | 15.8353i | 0.261585 | + | 1.10330i | ||||
\(207\) | 41.6956i | 2.89805i | ||||||||
\(208\) | −11.0756 | − | 18.5409i | −0.767957 | − | 1.28558i | ||||
\(209\) | 1.26001i | 0.0871566i | ||||||||
\(210\) | 2.24858 | − | 0.533121i | 0.155167 | − | 0.0367889i | ||||
\(211\) | 2.76765 | − | 6.68171i | 0.190533 | − | 0.459988i | −0.799527 | − | 0.600630i | \(-0.794917\pi\) |
0.990061 | + | 0.140642i | \(0.0449166\pi\) | |||||||
\(212\) | −4.52176 | − | 3.90635i | −0.310556 | − | 0.268289i | ||||
\(213\) | 5.36424 | − | 2.22194i | 0.367552 | − | 0.152245i | ||||
\(214\) | 3.27159 | − | 20.2849i | 0.223641 | − | 1.38665i | ||||
\(215\) | −5.23157 | − | 5.23157i | −0.356790 | − | 0.356790i | ||||
\(216\) | −4.17086 | − | 13.2167i | −0.283791 | − | 0.899283i | ||||
\(217\) | −2.40882 | + | 2.40882i | −0.163521 | + | 0.163521i | ||||
\(218\) | 6.85383 | + | 9.48976i | 0.464200 | + | 0.642727i | ||||
\(219\) | −12.3459 | − | 29.8057i | −0.834260 | − | 2.01408i | ||||
\(220\) | −0.438471 | + | 1.32397i | −0.0295617 | + | 0.0892621i | ||||
\(221\) | −23.9538 | − | 9.92199i | −1.61131 | − | 0.667425i | ||||
\(222\) | −1.90347 | − | 1.17386i | −0.127753 | − | 0.0787843i | ||||
\(223\) | 18.7241 | 1.25386 | 0.626930 | − | 0.779075i | \(-0.284311\pi\) | ||||
0.626930 | + | 0.779075i | \(0.284311\pi\) | |||||||
\(224\) | −5.19515 | − | 2.23839i | −0.347116 | − | 0.149559i | ||||
\(225\) | 22.1577 | 1.47718 | ||||||||
\(226\) | 2.00776 | + | 1.23817i | 0.133554 | + | 0.0823620i | ||||
\(227\) | −17.8139 | − | 7.37878i | −1.18235 | − | 0.489747i | −0.297095 | − | 0.954848i | \(-0.596018\pi\) |
−0.885258 | + | 0.465101i | \(0.846018\pi\) | |||||||
\(228\) | 5.60565 | + | 1.85647i | 0.371244 | + | 0.122948i | ||||
\(229\) | 2.79394 | + | 6.74518i | 0.184629 | + | 0.445734i | 0.988910 | − | 0.148515i | \(-0.0474494\pi\) |
−0.804281 | + | 0.594249i | \(0.797449\pi\) | |||||||
\(230\) | −4.25569 | − | 5.89239i | −0.280612 | − | 0.388533i | ||||
\(231\) | 2.34139 | − | 2.34139i | 0.154052 | − | 0.154052i | ||||
\(232\) | 18.0474 | + | 9.38914i | 1.18487 | + | 0.616427i | ||||
\(233\) | −13.3675 | − | 13.3675i | −0.875732 | − | 0.875732i | 0.117358 | − | 0.993090i | \(-0.462558\pi\) |
−0.993090 | + | 0.117358i | \(0.962558\pi\) | |||||||
\(234\) | 5.78607 | − | 35.8755i | 0.378247 | − | 2.34526i | ||||
\(235\) | −0.107818 | + | 0.0446598i | −0.00703329 | + | 0.00291329i | ||||
\(236\) | 4.59872 | − | 5.32320i | 0.299351 | − | 0.346511i | ||||
\(237\) | 4.45674 | − | 10.7595i | 0.289496 | − | 0.698906i | ||||
\(238\) | −6.60789 | + | 1.56668i | −0.428326 | + | 0.101553i | ||||
\(239\) | 14.3922i | 0.930955i | 0.885060 | + | 0.465477i | \(0.154117\pi\) | ||||
−0.885060 | + | 0.465477i | \(0.845883\pi\) | |||||||
\(240\) | 5.24418 | + | 3.90142i | 0.338510 | + | 0.251836i | ||||
\(241\) | − | 16.4730i | − | 1.06112i | −0.847648 | − | 0.530560i | \(-0.821982\pi\) | ||
0.847648 | − | 0.530560i | \(-0.178018\pi\) | |||||||
\(242\) | −3.12778 | − | 13.1922i | −0.201061 | − | 0.848029i | ||||
\(243\) | −6.29520 | + | 15.1980i | −0.403837 | + | 0.974949i | ||||
\(244\) | 1.10268 | + | 15.1014i | 0.0705922 | + | 0.966770i | ||||
\(245\) | 0.541974 | − | 0.224493i | 0.0346255 | − | 0.0143423i | ||||
\(246\) | −3.98134 | − | 0.642118i | −0.253841 | − | 0.0409399i | ||||
\(247\) | 4.04678 | + | 4.04678i | 0.257491 | + | 0.257491i | ||||
\(248\) | −9.59882 | − | 0.837363i | −0.609526 | − | 0.0531726i | ||||
\(249\) | 6.56944 | − | 6.56944i | 0.416321 | − | 0.416321i | ||||
\(250\) | −6.49405 | + | 4.69023i | −0.410720 | + | 0.296636i | ||||
\(251\) | 10.9722 | + | 26.4891i | 0.692557 | + | 1.67198i | 0.739565 | + | 0.673085i | \(0.235031\pi\) |
−0.0470079 | + | 0.998895i | \(0.514969\pi\) | |||||||
\(252\) | −4.27317 | − | 8.50504i | −0.269185 | − | 0.535767i | ||||
\(253\) | −9.62202 | − | 3.98557i | −0.604931 | − | 0.250571i | ||||
\(254\) | 2.27644 | − | 3.69136i | 0.142836 | − | 0.231616i | ||||
\(255\) | 7.84679 | 0.491385 | ||||||||
\(256\) | −4.59910 | − | 15.3248i | −0.287444 | − | 0.957798i | ||||
\(257\) | 7.05295 | 0.439951 | 0.219976 | − | 0.975505i | \(-0.429402\pi\) | ||||
0.219976 | + | 0.975505i | \(0.429402\pi\) | |||||||
\(258\) | −26.0787 | + | 42.2879i | −1.62359 | + | 2.63273i | ||||
\(259\) | −0.524481 | − | 0.217247i | −0.0325897 | − | 0.0134991i | ||||
\(260\) | 2.84397 | + | 5.66045i | 0.176376 | + | 0.351046i | ||||
\(261\) | 13.0993 | + | 31.6245i | 0.810826 | + | 1.95751i | ||||
\(262\) | −18.1414 | + | 13.1023i | −1.12078 | + | 0.809465i | ||||
\(263\) | 8.34357 | − | 8.34357i | 0.514487 | − | 0.514487i | −0.401411 | − | 0.915898i | \(-0.631480\pi\) |
0.915898 | + | 0.401411i | \(0.131480\pi\) | |||||||
\(264\) | 9.33014 | + | 0.813924i | 0.574230 | + | 0.0500936i | ||||
\(265\) | 1.23933 | + | 1.23933i | 0.0761317 | + | 0.0761317i | ||||
\(266\) | 1.47989 | + | 0.238679i | 0.0907377 | + | 0.0146343i | ||||
\(267\) | 14.9622 | − | 6.19753i | 0.915669 | − | 0.379283i | ||||
\(268\) | −1.01496 | − | 13.9000i | −0.0619985 | − | 0.849078i | ||||
\(269\) | −5.02746 | + | 12.1374i | −0.306530 | + | 0.740028i | 0.693283 | + | 0.720666i | \(0.256164\pi\) |
−0.999813 | + | 0.0193624i | \(0.993836\pi\) | |||||||
\(270\) | 0.937808 | + | 3.95545i | 0.0570732 | + | 0.240721i | ||||
\(271\) | − | 16.1799i | − | 0.982857i | −0.870918 | − | 0.491429i | \(-0.836475\pi\) | ||
0.870918 | − | 0.491429i | \(-0.163525\pi\) | |||||||
\(272\) | −15.4111 | − | 11.4651i | −0.934433 | − | 0.695174i | ||||
\(273\) | − | 15.0398i | − | 0.910247i | ||||||
\(274\) | −20.8016 | + | 4.93191i | −1.25667 | + | 0.297948i | ||||
\(275\) | −2.11799 | + | 5.11328i | −0.127720 | + | 0.308343i | ||||
\(276\) | −31.9083 | + | 36.9351i | −1.92065 | + | 2.22323i | ||||
\(277\) | −10.9301 | + | 4.52740i | −0.656727 | + | 0.272025i | −0.686061 | − | 0.727544i | \(-0.740661\pi\) |
0.0293336 | + | 0.999570i | \(0.490661\pi\) | |||||||
\(278\) | −3.23459 | + | 20.0555i | −0.193998 | + | 1.20285i | ||||
\(279\) | −11.4638 | − | 11.4638i | −0.686319 | − | 0.686319i | ||||
\(280\) | 1.47195 | + | 0.765781i | 0.0879660 | + | 0.0457642i | ||||
\(281\) | −12.2474 | + | 12.2474i | −0.730619 | + | 0.730619i | −0.970742 | − | 0.240123i | \(-0.922812\pi\) |
0.240123 | + | 0.970742i | \(0.422812\pi\) | |||||||
\(282\) | 0.458838 | + | 0.635303i | 0.0273234 | + | 0.0378318i | ||||
\(283\) | 0.373136 | + | 0.900829i | 0.0221806 | + | 0.0535488i | 0.934582 | − | 0.355748i | \(-0.115774\pi\) |
−0.912401 | + | 0.409297i | \(0.865774\pi\) | |||||||
\(284\) | 3.95748 | + | 1.31063i | 0.234833 | + | 0.0777717i | ||||
\(285\) | −1.60020 | − | 0.662823i | −0.0947875 | − | 0.0392623i | ||||
\(286\) | 7.72584 | + | 4.76448i | 0.456839 | + | 0.281730i | ||||
\(287\) | −1.02373 | −0.0604288 | ||||||||
\(288\) | 10.6527 | − | 24.7242i | 0.627718 | − | 1.45689i | ||||
\(289\) | −6.05936 | −0.356433 | ||||||||
\(290\) | −5.07895 | − | 3.13216i | −0.298246 | − | 0.183927i | ||||
\(291\) | 46.4306 | + | 19.2322i | 2.72181 | + | 1.12741i | ||||
\(292\) | 7.28235 | − | 21.9892i | 0.426167 | − | 1.28682i | ||||
\(293\) | −1.81829 | − | 4.38975i | −0.106226 | − | 0.256452i | 0.861825 | − | 0.507206i | \(-0.169322\pi\) |
−0.968051 | + | 0.250754i | \(0.919322\pi\) | |||||||
\(294\) | −2.30646 | − | 3.19350i | −0.134515 | − | 0.186249i | ||||
\(295\) | −1.45899 | + | 1.45899i | −0.0849459 | + | 0.0849459i | ||||
\(296\) | −0.483222 | − | 1.53125i | −0.0280867 | − | 0.0890019i | ||||
\(297\) | 4.11872 | + | 4.11872i | 0.238992 | + | 0.238992i | ||||
\(298\) | −5.21658 | + | 32.3445i | −0.302189 | + | 1.87367i | ||||
\(299\) | −43.7036 | + | 18.1026i | −2.52745 | + | 1.04690i | ||||
\(300\) | 19.6279 | + | 16.9565i | 1.13322 | + | 0.978986i | ||||
\(301\) | −4.82641 | + | 11.6520i | −0.278189 | + | 0.671609i | ||||
\(302\) | 26.0745 | − | 6.18206i | 1.50042 | − | 0.355738i | ||||
\(303\) | 44.4613i | 2.55423i | ||||||||
\(304\) | 2.17432 | + | 3.63986i | 0.124706 | + | 0.208760i | ||||
\(305\) | − | 4.44126i | − | 0.254306i | ||||||
\(306\) | −7.45598 | − | 31.4475i | −0.426230 | − | 1.79774i | ||||
\(307\) | 9.25666 | − | 22.3476i | 0.528306 | − | 1.27544i | −0.404327 | − | 0.914615i | \(-0.632494\pi\) |
0.932632 | − | 0.360828i | \(-0.117506\pi\) | |||||||
\(308\) | 2.37115 | − | 0.173138i | 0.135109 | − | 0.00986546i | ||||
\(309\) | −29.6148 | + | 12.2669i | −1.68473 | + | 0.697837i | ||||
\(310\) | 2.79011 | + | 0.449994i | 0.158468 | + | 0.0255580i | ||||
\(311\) | 1.08826 | + | 1.08826i | 0.0617094 | + | 0.0617094i | 0.737288 | − | 0.675579i | \(-0.236106\pi\) |
−0.675579 | + | 0.737288i | \(0.736106\pi\) | |||||||
\(312\) | 32.5798 | − | 27.3516i | 1.84447 | − | 1.54848i | ||||
\(313\) | 19.2480 | − | 19.2480i | 1.08796 | − | 1.08796i | 0.0922247 | − | 0.995738i | \(-0.470602\pi\) |
0.995738 | − | 0.0922247i | \(-0.0293978\pi\) | |||||||
\(314\) | −19.9090 | + | 14.3789i | −1.12353 | + | 0.811451i | ||||
\(315\) | 1.06838 | + | 2.57930i | 0.0601965 | + | 0.145327i | ||||
\(316\) | 7.47180 | − | 3.75404i | 0.420321 | − | 0.211181i | ||||
\(317\) | 11.5642 | + | 4.79006i | 0.649512 | + | 0.269037i | 0.683018 | − | 0.730402i | \(-0.260667\pi\) |
−0.0335057 | + | 0.999439i | \(0.510667\pi\) | |||||||
\(318\) | 6.17791 | − | 10.0178i | 0.346440 | − | 0.561770i | ||||
\(319\) | −8.55005 | −0.478711 | ||||||||
\(320\) | 1.01805 | + | 4.58127i | 0.0569110 | + | 0.256101i | ||||
\(321\) | 40.4706 | 2.25885 | ||||||||
\(322\) | −6.50374 | + | 10.5461i | −0.362439 | + | 0.587713i | ||||
\(323\) | 4.70250 | + | 1.94784i | 0.261654 | + | 0.108381i | ||||
\(324\) | −1.12291 | + | 0.564181i | −0.0623838 | + | 0.0313434i | ||||
\(325\) | 9.62001 | + | 23.2248i | 0.533622 | + | 1.28828i | ||||
\(326\) | −6.83574 | + | 4.93701i | −0.378597 | + | 0.273436i | ||||
\(327\) | −16.3036 | + | 16.3036i | −0.901592 | + | 0.901592i | ||||
\(328\) | −1.86177 | − | 2.21765i | −0.102799 | − | 0.122449i | ||||
\(329\) | 0.140669 | + | 0.140669i | 0.00775535 | + | 0.00775535i | ||||
\(330\) | −2.71201 | − | 0.437398i | −0.149291 | − | 0.0240780i | ||||
\(331\) | 15.7168 | − | 6.51011i | 0.863873 | − | 0.357828i | 0.0936520 | − | 0.995605i | \(-0.470146\pi\) |
0.770221 | + | 0.637777i | \(0.220146\pi\) | |||||||
\(332\) | 6.65293 | − | 0.485787i | 0.365127 | − | 0.0266610i | ||||
\(333\) | 1.03390 | − | 2.49605i | 0.0566573 | − | 0.136783i | ||||
\(334\) | −4.11995 | − | 17.3770i | −0.225434 | − | 0.950825i | ||||
\(335\) | 4.08792i | 0.223347i | ||||||||
\(336\) | 2.72333 | − | 10.8041i | 0.148570 | − | 0.589413i | ||||
\(337\) | − | 22.1903i | − | 1.20878i | −0.796688 | − | 0.604391i | \(-0.793417\pi\) | ||
0.796688 | − | 0.604391i | \(-0.206583\pi\) | |||||||
\(338\) | 22.2264 | − | 5.26972i | 1.20896 | − | 0.286635i | ||||
\(339\) | −1.77799 | + | 4.29245i | −0.0965673 | + | 0.233134i | ||||
\(340\) | 4.26338 | + | 3.68314i | 0.231214 | + | 0.199746i | ||||
\(341\) | 3.74127 | − | 1.54968i | 0.202601 | − | 0.0839200i | ||||
\(342\) | −1.13589 | + | 7.04291i | −0.0614221 | + | 0.380837i | ||||
\(343\) | −0.707107 | − | 0.707107i | −0.0381802 | − | 0.0381802i | ||||
\(344\) | −34.0184 | + | 10.7353i | −1.83415 | + | 0.578811i | ||||
\(345\) | 10.1233 | − | 10.1233i | 0.545018 | − | 0.545018i | ||||
\(346\) | 4.08173 | + | 5.65153i | 0.219435 | + | 0.303828i | ||||
\(347\) | −6.46939 | − | 15.6185i | −0.347295 | − | 0.838444i | −0.996937 | − | 0.0782041i | \(-0.975081\pi\) |
0.649643 | − | 0.760240i | \(-0.274919\pi\) | |||||||
\(348\) | −12.5975 | + | 38.0383i | −0.675295 | + | 2.03907i | ||||
\(349\) | 18.4367 | + | 7.63671i | 0.986891 | + | 0.408784i | 0.816974 | − | 0.576675i | \(-0.195650\pi\) |
0.169917 | + | 0.985458i | \(0.445650\pi\) | |||||||
\(350\) | 5.60437 | + | 3.45618i | 0.299566 | + | 0.184741i | ||||
\(351\) | 26.4563 | 1.41213 | ||||||||
\(352\) | 4.68729 | + | 4.82162i | 0.249833 | + | 0.256993i | ||||
\(353\) | −12.0253 | −0.640041 | −0.320021 | − | 0.947411i | \(-0.603690\pi\) | ||||
−0.320021 | + | 0.947411i | \(0.603690\pi\) | |||||||
\(354\) | 11.7934 | + | 7.27289i | 0.626810 | + | 0.386550i | ||||
\(355\) | −1.12971 | − | 0.467940i | −0.0599586 | − | 0.0248357i | ||||
\(356\) | 11.0384 | + | 3.65567i | 0.585032 | + | 0.193750i | ||||
\(357\) | −5.11881 | − | 12.3579i | −0.270916 | − | 0.654049i | ||||
\(358\) | −13.7436 | − | 19.0293i | −0.726371 | − | 1.00573i | ||||
\(359\) | 12.9506 | − | 12.9506i | 0.683506 | − | 0.683506i | −0.277282 | − | 0.960789i | \(-0.589434\pi\) |
0.960789 | + | 0.277282i | \(0.0894337\pi\) | |||||||
\(360\) | −3.64442 | + | 7.00515i | −0.192078 | + | 0.369204i | ||||
\(361\) | 12.6406 | + | 12.6406i | 0.665294 | + | 0.665294i | ||||
\(362\) | −2.53272 | + | 15.7037i | −0.133117 | + | 0.825366i | ||||
\(363\) | 24.6717 | − | 10.2194i | 1.29493 | − | 0.536378i | ||||
\(364\) | 7.05938 | − | 8.17152i | 0.370012 | − | 0.428304i | ||||
\(365\) | −2.60005 | + | 6.27707i | −0.136093 | + | 0.328557i | ||||
\(366\) | −29.0193 | + | 6.88027i | −1.51686 | + | 0.359637i | ||||
\(367\) | − | 26.9878i | − | 1.40875i | −0.709827 | − | 0.704376i | \(-0.751227\pi\) | ||
0.709827 | − | 0.704376i | \(-0.248773\pi\) | |||||||
\(368\) | −34.6733 | + | 5.09074i | −1.80747 | + | 0.265373i | ||||
\(369\) | − | 4.87202i | − | 0.253627i | ||||||
\(370\) | 0.108651 | + | 0.458266i | 0.00564852 | + | 0.0238241i | ||||
\(371\) | 1.14335 | − | 2.76029i | 0.0593598 | − | 0.143307i | ||||
\(372\) | −1.38208 | − | 18.9278i | −0.0716575 | − | 0.981360i | ||||
\(373\) | −13.6459 | + | 5.65234i | −0.706560 | + | 0.292667i | −0.706880 | − | 0.707333i | \(-0.749898\pi\) |
0.000320072 | 1.00000i | \(0.499898\pi\) | ||||||||
\(374\) | 7.96978 | + | 1.28538i | 0.412108 | + | 0.0664655i | ||||
\(375\) | −11.1569 | − | 11.1569i | −0.576142 | − | 0.576142i | ||||
\(376\) | −0.0489000 | + | 0.560548i | −0.00252182 | + | 0.0289081i | ||||
\(377\) | −27.4603 | + | 27.4603i | −1.41428 | + | 1.41428i | ||||
\(378\) | 5.61765 | − | 4.05726i | 0.288941 | − | 0.208683i | ||||
\(379\) | −0.766130 | − | 1.84960i | −0.0393534 | − | 0.0950076i | 0.902981 | − | 0.429681i | \(-0.141374\pi\) |
−0.942334 | + | 0.334673i | \(0.891374\pi\) | |||||||
\(380\) | −0.558315 | − | 1.11123i | −0.0286410 | − | 0.0570051i | ||||
\(381\) | 7.89187 | + | 3.26892i | 0.404313 | + | 0.167472i | ||||
\(382\) | −4.82505 | + | 7.82405i | −0.246871 | + | 0.400313i | ||||
\(383\) | 5.01066 | 0.256033 | 0.128016 | − | 0.991772i | \(-0.459139\pi\) | ||||
0.128016 | + | 0.991772i | \(0.459139\pi\) | |||||||
\(384\) | 28.3571 | − | 13.7492i | 1.44709 | − | 0.701635i | ||||
\(385\) | −0.697344 | −0.0355399 | ||||||||
\(386\) | 13.6879 | − | 22.1956i | 0.696695 | − | 1.12973i | ||||
\(387\) | −55.4528 | − | 22.9693i | −2.81882 | − | 1.16759i | ||||
\(388\) | 16.1998 | + | 32.2431i | 0.822421 | + | 1.63689i | ||||
\(389\) | 0.737155 | + | 1.77965i | 0.0373752 | + | 0.0902318i | 0.941465 | − | 0.337111i | \(-0.109450\pi\) |
−0.904090 | + | 0.427343i | \(0.859450\pi\) | |||||||
\(390\) | −10.1150 | + | 7.30539i | −0.512192 | + | 0.369923i | ||||
\(391\) | −29.7492 | + | 29.7492i | −1.50448 | + | 1.50448i | ||||
\(392\) | 0.245807 | − | 2.81773i | 0.0124151 | − | 0.142317i | ||||
\(393\) | −31.1673 | − | 31.1673i | −1.57218 | − | 1.57218i | ||||
\(394\) | 9.20730 | + | 1.48497i | 0.463857 | + | 0.0748118i | ||||
\(395\) | −2.26595 | + | 0.938589i | −0.114012 | + | 0.0472255i | ||||
\(396\) | 0.823979 | + | 11.2845i | 0.0414065 | + | 0.567069i | ||||
\(397\) | 1.07835 | − | 2.60338i | 0.0541211 | − | 0.130660i | −0.894506 | − | 0.447055i | \(-0.852473\pi\) |
0.948627 | + | 0.316396i | \(0.102473\pi\) | |||||||
\(398\) | −0.673383 | − | 2.84017i | −0.0337536 | − | 0.142365i | ||||
\(399\) | 2.95253i | 0.147812i | ||||||||
\(400\) | 2.70529 | + | 18.4259i | 0.135265 | + | 0.921297i | ||||
\(401\) | − | 7.55774i | − | 0.377415i | −0.982033 | − | 0.188708i | \(-0.939570\pi\) | ||
0.982033 | − | 0.188708i | \(-0.0604299\pi\) | |||||||
\(402\) | 26.7106 | − | 6.33290i | 1.33221 | − | 0.315856i | ||||
\(403\) | 7.03873 | − | 16.9930i | 0.350624 | − | 0.846481i | ||||
\(404\) | −20.8693 | + | 24.1571i | −1.03829 | + | 1.20186i | ||||
\(405\) | 0.340542 | − | 0.141057i | 0.0169217 | − | 0.00700918i | ||||
\(406\) | −1.61960 | + | 10.0421i | −0.0803796 | + | 0.498380i | ||||
\(407\) | 0.477182 | + | 0.477182i | 0.0236530 | + | 0.0236530i | ||||
\(408\) | 17.4611 | − | 33.5629i | 0.864451 | − | 1.66161i | ||||
\(409\) | −14.1155 | + | 14.1155i | −0.697966 | + | 0.697966i | −0.963971 | − | 0.266006i | \(-0.914296\pi\) |
0.266006 | + | 0.963971i | \(0.414296\pi\) | |||||||
\(410\) | 0.497265 | + | 0.688509i | 0.0245582 | + | 0.0340030i | ||||
\(411\) | −16.1140 | − | 38.9026i | −0.794844 | − | 1.91892i | ||||
\(412\) | −21.8484 | − | 7.23572i | −1.07639 | − | 0.356478i | ||||
\(413\) | 3.24953 | + | 1.34600i | 0.159899 | + | 0.0662323i | ||||
\(414\) | −50.1900 | − | 30.9519i | −2.46670 | − | 1.52120i | ||||
\(415\) | −1.95659 | −0.0960455 | ||||||||
\(416\) | 30.5399 | + | 0.431451i | 1.49734 | + | 0.0211536i | ||||
\(417\) | −40.0129 | −1.95944 | ||||||||
\(418\) | −1.51670 | − | 0.935340i | −0.0741843 | − | 0.0457490i | ||||
\(419\) | 6.72997 | + | 2.78765i | 0.328781 | + | 0.136185i | 0.540967 | − | 0.841044i | \(-0.318058\pi\) |
−0.212186 | + | 0.977229i | \(0.568058\pi\) | |||||||
\(420\) | −1.02745 | + | 3.10241i | −0.0501346 | + | 0.151382i | ||||
\(421\) | −3.23207 | − | 7.80290i | −0.157521 | − | 0.380290i | 0.825340 | − | 0.564636i | \(-0.190983\pi\) |
−0.982861 | + | 0.184346i | \(0.940983\pi\) | |||||||
\(422\) | 5.98842 | + | 8.29151i | 0.291512 | + | 0.403624i | ||||
\(423\) | −0.669458 | + | 0.669458i | −0.0325501 | + | 0.0325501i | ||||
\(424\) | 8.05880 | − | 2.54315i | 0.391370 | − | 0.123506i | ||||
\(425\) | 15.8092 | + | 15.8092i | 0.766858 | + | 0.766858i | ||||
\(426\) | −1.30743 | + | 8.10647i | −0.0633450 | + | 0.392760i | ||||
\(427\) | −6.99452 | + | 2.89723i | −0.338489 | + | 0.140207i | ||||
\(428\) | 21.9888 | + | 18.9962i | 1.06287 | + | 0.918214i | ||||
\(429\) | −6.84170 | + | 16.5173i | −0.330321 | + | 0.797465i | ||||
\(430\) | 10.1809 | − | 2.41382i | 0.490967 | − | 0.116405i | ||||
\(431\) | 1.25297i | 0.0603532i | 0.999545 | + | 0.0301766i | \(0.00960697\pi\) | ||||
−0.999545 | + | 0.0301766i | \(0.990393\pi\) | |||||||
\(432\) | 19.0054 | + | 4.79059i | 0.914398 | + | 0.230487i | ||||
\(433\) | 12.0639i | 0.579753i | 0.957064 | + | 0.289876i | \(0.0936142\pi\) | ||||
−0.957064 | + | 0.289876i | \(0.906386\pi\) | |||||||
\(434\) | −1.11142 | − | 4.68769i | −0.0533497 | − | 0.225016i | ||||
\(435\) | 4.49772 | − | 10.8585i | 0.215649 | − | 0.520623i | ||||
\(436\) | −16.5108 | + | 1.20560i | −0.790725 | + | 0.0577376i | ||||
\(437\) | 8.57969 | − | 3.55383i | 0.410422 | − | 0.170003i | ||||
\(438\) | 45.0425 | + | 7.26454i | 2.15221 | + | 0.347113i | ||||
\(439\) | 1.03251 | + | 1.03251i | 0.0492788 | + | 0.0492788i | 0.731317 | − | 0.682038i | \(-0.238906\pi\) |
−0.682038 | + | 0.731317i | \(0.738906\pi\) | |||||||
\(440\) | −1.26820 | − | 1.51062i | −0.0604593 | − | 0.0720159i | ||||
\(441\) | 3.36518 | − | 3.36518i | 0.160247 | − | 0.160247i | ||||
\(442\) | 29.7249 | − | 21.4684i | 1.41387 | − | 1.02115i | ||||
\(443\) | −6.83993 | − | 16.5130i | −0.324975 | − | 0.784558i | −0.998950 | − | 0.0458049i | \(-0.985415\pi\) |
0.673976 | − | 0.738754i | \(-0.264585\pi\) | |||||||
\(444\) | 2.82600 | − | 1.41986i | 0.134116 | − | 0.0673838i | ||||
\(445\) | −3.15103 | − | 1.30520i | −0.149373 | − | 0.0618723i | ||||
\(446\) | −13.8995 | + | 22.5387i | −0.658158 | + | 1.06724i | ||||
\(447\) | −64.5308 | −3.05220 | ||||||||
\(448\) | 6.55091 | − | 4.59190i | 0.309502 | − | 0.216947i | ||||
\(449\) | −22.3110 | −1.05292 | −0.526461 | − | 0.850199i | \(-0.676481\pi\) | ||||
−0.526461 | + | 0.850199i | \(0.676481\pi\) | |||||||
\(450\) | −16.4483 | + | 26.6717i | −0.775379 | + | 1.25732i | ||||
\(451\) | 1.12431 | + | 0.465702i | 0.0529415 | + | 0.0219291i | ||||
\(452\) | −2.98083 | + | 1.49765i | −0.140207 | + | 0.0704437i | ||||
\(453\) | 20.1986 | + | 48.7637i | 0.949013 | + | 2.29112i | ||||
\(454\) | 22.1058 | − | 15.9656i | 1.03748 | − | 0.749301i | ||||
\(455\) | −2.23967 | + | 2.23967i | −0.104997 | + | 0.104997i | ||||
\(456\) | −6.39591 | + | 5.36954i | −0.299516 | + | 0.251452i | ||||
\(457\) | 13.8210 | + | 13.8210i | 0.646520 | + | 0.646520i | 0.952150 | − | 0.305630i | \(-0.0988671\pi\) |
−0.305630 | + | 0.952150i | \(0.598867\pi\) | |||||||
\(458\) | −10.1933 | − | 1.64400i | −0.476304 | − | 0.0768192i | ||||
\(459\) | 21.7386 | − | 9.00444i | 1.01467 | − | 0.420291i | ||||
\(460\) | 10.2519 | − | 0.748581i | 0.477998 | − | 0.0349027i | ||||
\(461\) | 9.83944 | − | 23.7545i | 0.458269 | − | 1.10636i | −0.510829 | − | 0.859682i | \(-0.670662\pi\) |
0.969098 | − | 0.246676i | \(-0.0793384\pi\) | |||||||
\(462\) | 1.08031 | + | 4.55647i | 0.0502604 | + | 0.211986i | ||||
\(463\) | − | 30.3536i | − | 1.41065i | −0.708883 | − | 0.705326i | \(-0.750801\pi\) | ||
0.708883 | − | 0.705326i | \(-0.249199\pi\) | |||||||
\(464\) | −24.6990 | + | 14.7543i | −1.14662 | + | 0.684949i | ||||
\(465\) | 5.56657i | 0.258144i | ||||||||
\(466\) | 26.0138 | − | 6.16767i | 1.20506 | − | 0.285712i | ||||
\(467\) | 12.1834 | − | 29.4133i | 0.563780 | − | 1.36109i | −0.342942 | − | 0.939357i | \(-0.611424\pi\) |
0.906722 | − | 0.421729i | \(-0.138576\pi\) | |||||||
\(468\) | 38.8890 | + | 33.5962i | 1.79764 | + | 1.55299i | ||||
\(469\) | 6.43806 | − | 2.66673i | 0.297282 | − | 0.123138i | ||||
\(470\) | 0.0262786 | − | 0.162936i | 0.00121214 | − | 0.00751566i | ||||
\(471\) | −34.2041 | − | 34.2041i | −1.57604 | − | 1.57604i | ||||
\(472\) | 2.99390 | + | 9.48714i | 0.137805 | + | 0.436681i | ||||
\(473\) | 10.6012 | − | 10.6012i | 0.487441 | − | 0.487441i | ||||
\(474\) | 9.64312 | + | 13.3518i | 0.442923 | + | 0.613268i | ||||
\(475\) | −1.88856 | − | 4.55938i | −0.0866529 | − | 0.209199i | ||||
\(476\) | 3.01937 | − | 9.11706i | 0.138393 | − | 0.417880i | ||||
\(477\) | 13.1365 | + | 5.44131i | 0.601478 | + | 0.249141i | ||||
\(478\) | −17.3242 | − | 10.6837i | −0.792392 | − | 0.488663i | ||||
\(479\) | −42.5744 | −1.94527 | −0.972637 | − | 0.232329i | \(-0.925366\pi\) | ||||
−0.972637 | + | 0.232329i | \(0.925366\pi\) | |||||||
\(480\) | −8.58914 | + | 3.41640i | −0.392039 | + | 0.155937i | ||||
\(481\) | 3.06514 | 0.139758 | ||||||||
\(482\) | 19.8289 | + | 12.2284i | 0.903183 | + | 0.556987i | ||||
\(483\) | −22.5469 | − | 9.33925i | −1.02592 | − | 0.424950i | ||||
\(484\) | 18.2016 | + | 6.02799i | 0.827347 | + | 0.273999i | ||||
\(485\) | −4.05029 | − | 9.77827i | −0.183914 | − | 0.444009i | ||||
\(486\) | −13.6210 | − | 18.8595i | −0.617862 | − | 0.855486i | ||||
\(487\) | 23.4879 | − | 23.4879i | 1.06434 | − | 1.06434i | 0.0665573 | − | 0.997783i | \(-0.478798\pi\) |
0.997783 | − | 0.0665573i | \(-0.0212015\pi\) | |||||||
\(488\) | −18.9965 | − | 9.88289i | −0.859931 | − | 0.447378i | ||||
\(489\) | −11.7440 | − | 11.7440i | −0.531080 | − | 0.531080i | ||||
\(490\) | −0.132095 | + | 0.819034i | −0.00596746 | + | 0.0370002i | ||||
\(491\) | 5.04453 | − | 2.08951i | 0.227657 | − | 0.0942984i | −0.265939 | − | 0.963990i | \(-0.585682\pi\) |
0.493596 | + | 0.869691i | \(0.335682\pi\) | |||||||
\(492\) | 3.72839 | − | 4.31577i | 0.168089 | − | 0.194570i | ||||
\(493\) | −13.2175 | + | 31.9098i | −0.595284 | + | 1.43714i | ||||
\(494\) | −7.87525 | + | 1.86716i | −0.354324 | + | 0.0840076i | ||||
\(495\) | − | 3.31872i | − | 0.149166i | ||||||
\(496\) | 8.13343 | − | 10.9327i | 0.365202 | − | 0.490894i | ||||
\(497\) | 2.08443i | 0.0934995i | ||||||||
\(498\) | 3.03110 | + | 12.7845i | 0.135827 | + | 0.572885i | ||||
\(499\) | −3.02105 | + | 7.29346i | −0.135241 | + | 0.326500i | −0.976962 | − | 0.213412i | \(-0.931542\pi\) |
0.841722 | + | 0.539912i | \(0.181542\pi\) | |||||||
\(500\) | −0.825017 | − | 11.2987i | −0.0368959 | − | 0.505295i | ||||
\(501\) | 32.4979 | − | 13.4611i | 1.45190 | − | 0.601396i | ||||
\(502\) | −40.0305 | − | 6.45620i | −1.78665 | − | 0.288154i | ||||
\(503\) | 22.9843 | + | 22.9843i | 1.02482 | + | 1.02482i | 0.999684 | + | 0.0251333i | \(0.00800102\pi\) |
0.0251333 | + | 0.999684i | \(0.491999\pi\) | |||||||
\(504\) | 13.4098 | + | 1.16982i | 0.597320 | + | 0.0521079i | ||||
\(505\) | 6.62102 | − | 6.62102i | 0.294632 | − | 0.294632i | ||||
\(506\) | 11.9402 | − | 8.62364i | 0.530807 | − | 0.383368i | ||||
\(507\) | 17.2177 | + | 41.5672i | 0.764666 | + | 1.84607i | ||||
\(508\) | 2.75351 | + | 5.48040i | 0.122167 | + | 0.243153i | ||||
\(509\) | 29.0641 | + | 12.0387i | 1.28824 | + | 0.533608i | 0.918461 | − | 0.395511i | \(-0.129432\pi\) |
0.369782 | + | 0.929119i | \(0.379432\pi\) | |||||||
\(510\) | −5.82490 | + | 9.44536i | −0.257931 | + | 0.418248i | ||||
\(511\) | 11.5819 | 0.512351 | ||||||||
\(512\) | 21.8608 | + | 5.83997i | 0.966120 | + | 0.258092i | ||||
\(513\) | −5.19377 | −0.229311 | ||||||||
\(514\) | −5.23561 | + | 8.48980i | −0.230933 | + | 0.374469i | ||||
\(515\) | 6.23687 | + | 2.58340i | 0.274829 | + | 0.113838i | ||||
\(516\) | −31.5439 | − | 62.7830i | −1.38864 | − | 2.76387i | ||||
\(517\) | −0.0904978 | − | 0.218481i | −0.00398009 | − | 0.00960878i | ||||
\(518\) | 0.650843 | − | 0.470061i | 0.0285964 | − | 0.0206533i | ||||
\(519\) | −9.70946 | + | 9.70946i | −0.426198 | + | 0.426198i | ||||
\(520\) | −8.92477 | − | 0.778562i | −0.391377 | − | 0.0341422i | ||||
\(521\) | 1.51949 | + | 1.51949i | 0.0665699 | + | 0.0665699i | 0.739608 | − | 0.673038i | \(-0.235011\pi\) |
−0.673038 | + | 0.739608i | \(0.735011\pi\) | |||||||
\(522\) | −47.7911 | − | 7.70784i | −2.09176 | − | 0.337363i | ||||
\(523\) | 15.5576 | − | 6.44416i | 0.680285 | − | 0.281783i | −0.0156610 | − | 0.999877i | \(-0.504985\pi\) |
0.695946 | + | 0.718094i | \(0.254985\pi\) | |||||||
\(524\) | −2.30472 | − | 31.5634i | −0.100682 | − | 1.37886i | ||||
\(525\) | −4.96302 | + | 11.9818i | −0.216604 | + | 0.522928i | ||||
\(526\) | 3.84968 | + | 16.2370i | 0.167854 | + | 0.707968i | ||||
\(527\) | − | 16.3585i | − | 0.712586i | ||||||
\(528\) | −7.90577 | + | 10.6267i | −0.344054 | + | 0.462468i | ||||
\(529\) | 53.7598i | 2.33738i | ||||||||
\(530\) | −2.41181 | + | 0.571822i | −0.104762 | + | 0.0248383i | ||||
\(531\) | −6.40573 | + | 15.4648i | −0.277985 | + | 0.671116i | ||||
\(532\) | −1.38587 | + | 1.60420i | −0.0600849 | + | 0.0695507i | ||||
\(533\) | 5.10664 | − | 2.11524i | 0.221193 | − | 0.0916213i | ||||
\(534\) | −3.64673 | + | 22.6109i | −0.157809 | + | 0.978469i | ||||
\(535\) | −6.02675 | − | 6.02675i | −0.260559 | − | 0.260559i | ||||
\(536\) | 17.4852 | + | 9.09664i | 0.755245 | + | 0.392915i | ||||
\(537\) | 32.6927 | − | 32.6927i | 1.41079 | − | 1.41079i | ||||
\(538\) | −10.8780 | − | 15.0616i | −0.468984 | − | 0.649351i | ||||
\(539\) | 0.454908 | + | 1.09825i | 0.0195943 | + | 0.0473048i | ||||
\(540\) | −5.45743 | − | 1.80738i | −0.234850 | − | 0.0777773i | ||||
\(541\) | −16.2523 | − | 6.73193i | −0.698741 | − | 0.289428i | 0.00489532 | − | 0.999988i | \(-0.498442\pi\) |
−0.703637 | + | 0.710560i | \(0.748442\pi\) | |||||||
\(542\) | 19.4761 | + | 12.0108i | 0.836569 | + | 0.515907i | ||||
\(543\) | −31.3305 | −1.34452 | ||||||||
\(544\) | 25.2409 | − | 10.0398i | 1.08219 | − | 0.430452i | ||||
\(545\) | 4.85576 | 0.207998 | ||||||||
\(546\) | 18.1037 | + | 11.1644i | 0.774767 | + | 0.477794i | ||||
\(547\) | 1.44994 | + | 0.600585i | 0.0619950 | + | 0.0256792i | 0.413465 | − | 0.910520i | \(-0.364318\pi\) |
−0.351470 | + | 0.936199i | \(0.614318\pi\) | |||||||
\(548\) | 9.50498 | − | 28.7005i | 0.406033 | − | 1.22602i | ||||
\(549\) | −13.7882 | − | 33.2876i | −0.588464 | − | 1.42068i | ||||
\(550\) | −4.58273 | − | 6.34521i | −0.195408 | − | 0.270561i | ||||
\(551\) | 5.39087 | − | 5.39087i | 0.229659 | − | 0.229659i | ||||
\(552\) | −20.7732 | − | 65.8267i | −0.884168 | − | 2.80177i | ||||
\(553\) | 2.95636 | + | 2.95636i | 0.125717 | + | 0.125717i | ||||
\(554\) | 2.66400 | − | 16.5176i | 0.113182 | − | 0.701768i | ||||
\(555\) | −0.857035 | + | 0.354996i | −0.0363791 | + | 0.0150687i | ||||
\(556\) | −21.7401 | − | 18.7813i | −0.921986 | − | 0.796505i | ||||
\(557\) | 6.40629 | − | 15.4661i | 0.271443 | − | 0.655322i | −0.728102 | − | 0.685468i | \(-0.759597\pi\) |
0.999545 | + | 0.0301467i | \(0.00959744\pi\) | |||||||
\(558\) | 22.3091 | − | 5.28933i | 0.944420 | − | 0.223915i | ||||
\(559\) | − | 68.0957i | − | 2.88014i | ||||||
\(560\) | −2.01446 | + | 1.20336i | −0.0851265 | + | 0.0508513i | ||||
\(561\) | 15.9006i | 0.671323i | ||||||||
\(562\) | −5.65088 | − | 23.8341i | −0.238368 | − | 1.00538i | ||||
\(563\) | 5.82644 | − | 14.0663i | 0.245555 | − | 0.592822i | −0.752262 | − | 0.658864i | \(-0.771037\pi\) |
0.997817 | + | 0.0660419i | \(0.0210371\pi\) | |||||||
\(564\) | −1.10534 | + | 0.0807101i | −0.0465431 | + | 0.00339851i | ||||
\(565\) | 0.903990 | − | 0.374445i | 0.0380311 | − | 0.0157530i | ||||
\(566\) | −1.36134 | − | 0.219559i | −0.0572213 | − | 0.00922876i | ||||
\(567\) | −0.444300 | − | 0.444300i | −0.0186589 | − | 0.0186589i | ||||
\(568\) | −4.51539 | + | 3.79079i | −0.189461 | + | 0.159058i | ||||
\(569\) | 20.8797 | − | 20.8797i | 0.875320 | − | 0.875320i | −0.117726 | − | 0.993046i | \(-0.537560\pi\) |
0.993046 | + | 0.117726i | \(0.0375603\pi\) | |||||||
\(570\) | 1.98573 | − | 1.43416i | 0.0831730 | − | 0.0600704i | ||||
\(571\) | 9.29672 | + | 22.4443i | 0.389056 | + | 0.939263i | 0.990140 | + | 0.140078i | \(0.0447353\pi\) |
−0.601085 | + | 0.799185i | \(0.705265\pi\) | |||||||
\(572\) | −11.4702 | + | 5.76296i | −0.479594 | + | 0.240962i | ||||
\(573\) | −16.7273 | − | 6.92868i | −0.698793 | − | 0.289450i | ||||
\(574\) | 0.759943 | − | 1.23229i | 0.0317194 | − | 0.0514346i | ||||
\(575\) | 40.7913 | 1.70111 | ||||||||
\(576\) | 21.8532 | + | 31.1764i | 0.910552 | + | 1.29902i | ||||
\(577\) | −12.7671 | −0.531501 | −0.265750 | − | 0.964042i | \(-0.585620\pi\) | ||||
−0.265750 | + | 0.964042i | \(0.585620\pi\) | |||||||
\(578\) | 4.49803 | − | 7.29379i | 0.187094 | − | 0.303382i | ||||
\(579\) | 47.4527 | + | 19.6555i | 1.97207 | + | 0.816856i | ||||
\(580\) | 7.54050 | − | 3.78856i | 0.313102 | − | 0.157311i | ||||
\(581\) | 1.27637 | + | 3.08144i | 0.0529528 | + | 0.127839i | ||||
\(582\) | −57.6170 | + | 41.6130i | −2.38830 | + | 1.72491i | ||||
\(583\) | −2.51136 | + | 2.51136i | −0.104010 | + | 0.104010i | ||||
\(584\) | 21.0630 | + | 25.0891i | 0.871594 | + | 1.03820i | ||||
\(585\) | −10.6588 | − | 10.6588i | −0.440686 | − | 0.440686i | ||||
\(586\) | 6.63381 | + | 1.06991i | 0.274040 | + | 0.0441977i | ||||
\(587\) | −15.4743 | + | 6.40966i | −0.638692 | + | 0.264555i | −0.678441 | − | 0.734655i | \(-0.737344\pi\) |
0.0397492 | + | 0.999210i | \(0.487344\pi\) | |||||||
\(588\) | 5.55624 | − | 0.405708i | 0.229135 | − | 0.0167311i | ||||
\(589\) | −1.38181 | + | 3.33599i | −0.0569365 | + | 0.137457i | ||||
\(590\) | −0.673172 | − | 2.83928i | −0.0277140 | − | 0.116891i | ||||
\(591\) | 18.3696i | 0.755623i | ||||||||
\(592\) | 2.20190 | + | 0.555022i | 0.0904977 | + | 0.0228113i | ||||
\(593\) | 30.2036i | 1.24031i | 0.784478 | + | 0.620157i | \(0.212931\pi\) | ||||
−0.784478 | + | 0.620157i | \(0.787069\pi\) | |||||||
\(594\) | −8.01524 | + | 1.90035i | −0.328869 | + | 0.0779725i | ||||
\(595\) | −1.07802 | + | 2.60257i | −0.0441945 | + | 0.106695i | ||||
\(596\) | −35.0614 | − | 30.2896i | −1.43617 | − | 1.24071i | ||||
\(597\) | 5.31160 | − | 2.20014i | 0.217389 | − | 0.0900456i | ||||
\(598\) | 10.6519 | − | 66.0451i | 0.435588 | − | 2.70079i | ||||
\(599\) | 15.4760 | + | 15.4760i | 0.632331 | + | 0.632331i | 0.948652 | − | 0.316321i | \(-0.102448\pi\) |
−0.316321 | + | 0.948652i | \(0.602448\pi\) | |||||||
\(600\) | −34.9813 | + | 11.0392i | −1.42811 | + | 0.450674i | ||||
\(601\) | 2.17037 | − | 2.17037i | 0.0885313 | − | 0.0885313i | −0.661454 | − | 0.749986i | \(-0.730060\pi\) |
0.749986 | + | 0.661454i | \(0.230060\pi\) | |||||||
\(602\) | −10.4430 | − | 14.4592i | −0.425624 | − | 0.589315i | ||||
\(603\) | 12.6912 | + | 30.6393i | 0.516826 | + | 1.24773i | ||||
\(604\) | −11.9143 | + | 35.9756i | −0.484787 | + | 1.46382i | ||||
\(605\) | −5.19586 | − | 2.15220i | −0.211242 | − | 0.0874992i | ||||
\(606\) | −53.5191 | − | 33.0049i | −2.17406 | − | 1.34073i | ||||
\(607\) | 0.201615 | 0.00818330 | 0.00409165 | − | 0.999992i | \(-0.498698\pi\) | ||||
0.00409165 | + | 0.999992i | \(0.498698\pi\) | |||||||
\(608\) | −5.99544 | − | 0.0847006i | −0.243147 | − | 0.00343506i | ||||
\(609\) | −20.0350 | −0.811860 | ||||||||
\(610\) | 5.34604 | + | 3.29687i | 0.216455 | + | 0.133486i | ||||
\(611\) | −0.992350 | − | 0.411045i | −0.0401462 | − | 0.0166291i | ||||
\(612\) | 43.3889 | + | 14.3695i | 1.75389 | + | 0.580851i | ||||
\(613\) | 5.74582 | + | 13.8716i | 0.232071 | + | 0.560270i | 0.996421 | − | 0.0845324i | \(-0.0269396\pi\) |
−0.764349 | + | 0.644802i | \(0.776940\pi\) | |||||||
\(614\) | 20.0288 | + | 27.7317i | 0.808296 | + | 1.11916i | ||||
\(615\) | −1.18287 | + | 1.18287i | −0.0476981 | + | 0.0476981i | ||||
\(616\) | −1.55176 | + | 2.98273i | −0.0625223 | + | 0.120178i | ||||
\(617\) | 5.96885 | + | 5.96885i | 0.240297 | + | 0.240297i | 0.816973 | − | 0.576676i | \(-0.195650\pi\) |
−0.576676 | + | 0.816973i | \(0.695650\pi\) | |||||||
\(618\) | 7.21802 | − | 44.7541i | 0.290351 | − | 1.80027i | ||||
\(619\) | 15.9297 | − | 6.59831i | 0.640269 | − | 0.265208i | −0.0388398 | − | 0.999245i | \(-0.512366\pi\) |
0.679109 | + | 0.734037i | \(0.262366\pi\) | |||||||
\(620\) | −2.61285 | + | 3.02447i | −0.104934 | + | 0.121466i | ||||
\(621\) | 16.4286 | − | 39.6621i | 0.659256 | − | 1.59158i | ||||
\(622\) | −2.11780 | + | 0.502115i | −0.0849161 | + | 0.0201330i | ||||
\(623\) | 5.81398i | 0.232932i | ||||||||
\(624\) | 8.73886 | + | 59.5209i | 0.349834 | + | 2.38274i | ||||
\(625\) | − | 19.9564i | − | 0.798257i | ||||||
\(626\) | 8.88093 | + | 37.4577i | 0.354953 | + | 1.49711i | ||||
\(627\) | 1.34313 | − | 3.24261i | 0.0536395 | − | 0.129497i | ||||
\(628\) | −2.52927 | − | 34.6388i | −0.100929 | − | 1.38224i | ||||
\(629\) | 2.51857 | − | 1.04323i | 0.100422 | − | 0.0415961i | ||||
\(630\) | −3.89786 | − | 0.628654i | −0.155294 | − | 0.0250462i | ||||
\(631\) | 26.7142 | + | 26.7142i | 1.06347 | + | 1.06347i | 0.997844 | + | 0.0656302i | \(0.0209058\pi\) |
0.0656302 | + | 0.997844i | \(0.479094\pi\) | |||||||
\(632\) | −1.02770 | + | 11.7807i | −0.0408798 | + | 0.468611i | ||||
\(633\) | −14.2450 | + | 14.2450i | −0.566188 | + | 0.566188i | ||||
\(634\) | −14.3504 | + | 10.3643i | −0.569926 | + | 0.411620i | ||||
\(635\) | −0.688434 | − | 1.66203i | −0.0273197 | − | 0.0659555i | ||||
\(636\) | 7.47260 | + | 14.8730i | 0.296308 | + | 0.589752i | ||||
\(637\) | 4.98828 | + | 2.06621i | 0.197643 | + | 0.0818663i | ||||
\(638\) | 6.34694 | − | 10.2919i | 0.251278 | − | 0.407460i | ||||
\(639\) | −9.91999 | −0.392429 | ||||||||
\(640\) | −6.27032 | − | 2.17536i | −0.247856 | − | 0.0859885i | ||||
\(641\) | −19.3142 | −0.762865 | −0.381432 | − | 0.924397i | \(-0.624569\pi\) | ||||
−0.381432 | + | 0.924397i | \(0.624569\pi\) | |||||||
\(642\) | −30.0425 | + | 48.7154i | −1.18568 | + | 1.92264i | ||||
\(643\) | 8.26091 | + | 3.42178i | 0.325778 | + | 0.134942i | 0.539578 | − | 0.841936i | \(-0.318584\pi\) |
−0.213799 | + | 0.976878i | \(0.568584\pi\) | |||||||
\(644\) | −7.86671 | − | 15.6574i | −0.309992 | − | 0.616988i | ||||
\(645\) | 7.88665 | + | 19.0400i | 0.310536 | + | 0.749701i | ||||
\(646\) | −5.83546 | + | 4.21457i | −0.229593 | + | 0.165820i | ||||
\(647\) | −11.7630 | + | 11.7630i | −0.462453 | + | 0.462453i | −0.899459 | − | 0.437006i | \(-0.856039\pi\) |
0.437006 | + | 0.899459i | \(0.356039\pi\) | |||||||
\(648\) | 0.154449 | − | 1.77048i | 0.00606735 | − | 0.0695509i | ||||
\(649\) | −2.95648 | − | 2.95648i | −0.116052 | − | 0.116052i | ||||
\(650\) | −35.0974 | − | 5.66057i | −1.37663 | − | 0.222026i | ||||
\(651\) | 8.76678 | − | 3.63132i | 0.343597 | − | 0.142323i | ||||
\(652\) | −0.868426 | − | 11.8932i | −0.0340102 | − | 0.465775i | ||||
\(653\) | −10.0616 | + | 24.2910i | −0.393742 | + | 0.950578i | 0.595375 | + | 0.803448i | \(0.297004\pi\) |
−0.989117 | + | 0.147130i | \(0.952996\pi\) | |||||||
\(654\) | −7.52240 | − | 31.7277i | −0.294149 | − | 1.24065i | ||||
\(655\) | 9.28265i | 0.362703i | ||||||||
\(656\) | 4.05148 | − | 0.594838i | 0.158184 | − | 0.0232245i | ||||
\(657\) | 55.1191i | 2.15040i | ||||||||
\(658\) | −0.273750 | + | 0.0649040i | −0.0106719 | + | 0.00253022i | ||||
\(659\) | −12.4355 | + | 30.0219i | −0.484417 | + | 1.16949i | 0.473073 | + | 0.881023i | \(0.343145\pi\) |
−0.957491 | + | 0.288464i | \(0.906855\pi\) | |||||||
\(660\) | 2.53971 | − | 2.93982i | 0.0988580 | − | 0.114432i | ||||
\(661\) | 20.1362 | − | 8.34068i | 0.783207 | − | 0.324415i | 0.0449981 | − | 0.998987i | \(-0.485672\pi\) |
0.738209 | + | 0.674572i | \(0.235672\pi\) | |||||||
\(662\) | −3.83066 | + | 23.7513i | −0.148883 | + | 0.923120i | ||||
\(663\) | 51.0681 | + | 51.0681i | 1.98332 | + | 1.98332i | ||||
\(664\) | −4.35391 | + | 8.36890i | −0.168964 | + | 0.324776i | ||||
\(665\) | 0.439681 | − | 0.439681i | 0.0170501 | − | 0.0170501i | ||||
\(666\) | 2.23706 | + | 3.09742i | 0.0866845 | + | 0.120023i | ||||
\(667\) | 24.1152 | + | 58.2192i | 0.933744 | + | 2.25426i | ||||
\(668\) | 23.9754 | + | 7.94013i | 0.927636 | + | 0.307213i | ||||
\(669\) | −48.1862 | − | 19.9594i | −1.86299 | − | 0.771674i | ||||
\(670\) | −4.92073 | − | 3.03458i | −0.190104 | − | 0.117236i | ||||
\(671\) | 8.99967 | 0.347429 | ||||||||
\(672\) | 10.9836 | + | 11.2983i | 0.423700 | + | 0.435843i | ||||
\(673\) | −41.0732 | −1.58325 | −0.791627 | − | 0.611005i | \(-0.790766\pi\) | ||||
−0.791627 | + | 0.611005i | \(0.790766\pi\) | |||||||
\(674\) | 26.7109 | + | 16.4725i | 1.02887 | + | 0.634496i | ||||
\(675\) | −21.0770 | − | 8.73039i | −0.811255 | − | 0.336033i | ||||
\(676\) | −10.1560 | + | 30.6663i | −0.390616 | + | 1.17947i | ||||
\(677\) | −7.14800 | − | 17.2568i | −0.274720 | − | 0.663232i | 0.724953 | − | 0.688798i | \(-0.241861\pi\) |
−0.999673 | + | 0.0255657i | \(0.991861\pi\) | |||||||
\(678\) | −3.84707 | − | 5.32662i | −0.147746 | − | 0.204568i | ||||
\(679\) | −12.7576 | + | 12.7576i | −0.489591 | + | 0.489591i | ||||
\(680\) | −7.59831 | + | 2.39783i | −0.291382 | + | 0.0919527i | ||||
\(681\) | 37.9783 | + | 37.9783i | 1.45533 | + | 1.45533i | ||||
\(682\) | −0.911859 | + | 5.65382i | −0.0349169 | + | 0.216496i | ||||
\(683\) | −18.5452 | + | 7.68166i | −0.709611 | + | 0.293931i | −0.708144 | − | 0.706068i | \(-0.750467\pi\) |
−0.00146748 | + | 0.999999i | \(0.500467\pi\) | |||||||
\(684\) | −7.63451 | − | 6.59546i | −0.291913 | − | 0.252184i | ||||
\(685\) | −3.39360 | + | 8.19288i | −0.129663 | + | 0.313034i | ||||
\(686\) | 1.37607 | − | 0.326255i | 0.0525384 | − | 0.0124565i | ||||
\(687\) | − | 20.3368i | − | 0.775899i | ||||||
\(688\) | 12.3305 | − | 48.9179i | 0.470095 | − | 1.86498i | ||||
\(689\) | 16.1315i | 0.614562i | ||||||||
\(690\) | 4.67082 | + | 19.7004i | 0.177815 | + | 0.749981i | ||||
\(691\) | 9.70226 | − | 23.4233i | 0.369091 | − | 0.891065i | −0.624809 | − | 0.780778i | \(-0.714823\pi\) |
0.993900 | − | 0.110287i | \(-0.0351770\pi\) | |||||||
\(692\) | −9.83286 | + | 0.717981i | −0.373789 | + | 0.0272935i | ||||
\(693\) | −5.22665 | + | 2.16495i | −0.198544 | + | 0.0822396i | ||||
\(694\) | 23.6027 | + | 3.80669i | 0.895947 | + | 0.144500i | ||||
\(695\) | 5.95858 | + | 5.95858i | 0.226022 | + | 0.226022i | ||||
\(696\) | −36.4361 | − | 43.4008i | −1.38111 | − | 1.64510i | ||||
\(697\) | 3.47611 | − | 3.47611i | 0.131667 | − | 0.131667i | ||||
\(698\) | −22.8785 | + | 16.5237i | −0.865965 | + | 0.625430i | ||||
\(699\) | 20.1516 | + | 48.6502i | 0.762203 | + | 1.84012i | ||||
\(700\) | −8.32057 | + | 4.18049i | −0.314488 | + | 0.158008i | ||||
\(701\) | 11.9016 | + | 4.92979i | 0.449516 | + | 0.186196i | 0.595945 | − | 0.803026i | \(-0.296778\pi\) |
−0.146428 | + | 0.989221i | \(0.546778\pi\) | |||||||
\(702\) | −19.6392 | + | 31.8460i | −0.741235 | + | 1.20195i | ||||
\(703\) | −0.601734 | −0.0226948 | ||||||||
\(704\) | −9.28340 | + | 2.06296i | −0.349881 | + | 0.0777509i | ||||
\(705\) | 0.325074 | 0.0122430 | ||||||||
\(706\) | 8.92671 | − | 14.4751i | 0.335961 | − | 0.544778i | ||||
\(707\) | −14.7466 | − | 6.10824i | −0.554603 | − | 0.229724i | ||||
\(708\) | −17.5091 | + | 8.79705i | −0.658031 | + | 0.330614i | ||||
\(709\) | −1.66989 | − | 4.03147i | −0.0627140 | − | 0.151405i | 0.889416 | − | 0.457099i | \(-0.151112\pi\) |
−0.952130 | + | 0.305694i | \(0.901112\pi\) | |||||||
\(710\) | 1.40188 | − | 1.01249i | 0.0526118 | − | 0.0379980i | ||||
\(711\) | −14.0696 | + | 14.0696i | −0.527651 | + | 0.527651i | ||||
\(712\) | −12.5945 | + | 10.5734i | −0.471999 | + | 0.396256i | ||||
\(713\) | −21.1043 | − | 21.1043i | −0.790362 | − | 0.790362i | ||||
\(714\) | 18.6753 | + | 3.01199i | 0.698906 | + | 0.112721i | ||||
\(715\) | 3.47855 | − | 1.44086i | 0.130090 | − | 0.0538852i | ||||
\(716\) | 33.1082 | − | 2.41751i | 1.23731 | − | 0.0903467i | ||||
\(717\) | 15.3417 | − | 37.0381i | 0.572945 | − | 1.38321i | ||||
\(718\) | 5.97533 | + | 25.2025i | 0.222997 | + | 0.940550i | ||||
\(719\) | − | 13.2486i | − | 0.494090i | −0.969004 | − | 0.247045i | \(-0.920540\pi\) | ||
0.969004 | − | 0.247045i | \(-0.0794595\pi\) | |||||||
\(720\) | −5.72691 | − | 9.58700i | −0.213429 | − | 0.357286i | ||||
\(721\) | − | 11.5077i | − | 0.428569i | ||||||
\(722\) | −24.5992 | + | 5.83229i | −0.915488 | + | 0.217056i | ||||
\(723\) | −17.5597 | + | 42.3929i | −0.653053 | + | 1.57661i | ||||
\(724\) | −17.0227 | − | 14.7060i | −0.632645 | − | 0.546543i | ||||
\(725\) | 30.9386 | − | 12.8152i | 1.14903 | − | 0.475944i | ||||
\(726\) | −6.01324 | + | 37.2841i | −0.223172 | + | 1.38374i | ||||
\(727\) | −5.12605 | − | 5.12605i | −0.190115 | − | 0.190115i | 0.605631 | − | 0.795746i | \(-0.292921\pi\) |
−0.795746 | + | 0.605631i | \(0.792921\pi\) | |||||||
\(728\) | 4.59587 | + | 14.5635i | 0.170334 | + | 0.539759i | ||||
\(729\) | 31.0682 | − | 31.0682i | 1.15067 | − | 1.15067i | ||||
\(730\) | −5.62576 | − | 7.78938i | −0.208219 | − | 0.288298i | ||||
\(731\) | −23.1765 | − | 55.9530i | −0.857213 | − | 2.06950i | ||||
\(732\) | 13.2599 | − | 40.0387i | 0.490101 | − | 1.47987i | ||||
\(733\) | 4.98540 | + | 2.06502i | 0.184140 | + | 0.0762733i | 0.472848 | − | 0.881144i | \(-0.343226\pi\) |
−0.288708 | + | 0.957417i | \(0.593226\pi\) | |||||||
\(734\) | 32.4859 | + | 20.0338i | 1.19907 | + | 0.739462i | ||||
\(735\) | −1.63406 | −0.0602733 | ||||||||
\(736\) | 19.6112 | − | 45.5161i | 0.722877 | − | 1.67775i | ||||
\(737\) | −8.28369 | −0.305134 | ||||||||
\(738\) | 5.86456 | + | 3.61664i | 0.215877 | + | 0.133130i | ||||
\(739\) | −37.3504 | − | 15.4710i | −1.37396 | − | 0.569112i | −0.431098 | − | 0.902305i | \(-0.641874\pi\) |
−0.942858 | + | 0.333193i | \(0.891874\pi\) | |||||||
\(740\) | −0.632280 | − | 0.209397i | −0.0232431 | − | 0.00769760i | ||||
\(741\) | −6.10056 | − | 14.7281i | −0.224110 | − | 0.541049i | ||||
\(742\) | 2.47389 | + | 3.42532i | 0.0908193 | + | 0.125748i | ||||
\(743\) | 14.3924 | − | 14.3924i | 0.528005 | − | 0.528005i | −0.391972 | − | 0.919977i | \(-0.628207\pi\) |
0.919977 | + | 0.391972i | \(0.128207\pi\) | |||||||
\(744\) | 23.8098 | + | 12.3870i | 0.872908 | + | 0.454129i | ||||
\(745\) | 9.60970 | + | 9.60970i | 0.352072 | + | 0.352072i | ||||
\(746\) | 3.32593 | − | 20.6218i | 0.121771 | − | 0.755019i | ||||
\(747\) | −14.6648 | + | 6.07437i | −0.536558 | + | 0.222250i | ||||
\(748\) | −7.46344 | + | 8.63923i | −0.272890 | + | 0.315882i | ||||
\(749\) | −5.55999 | + | 13.4230i | −0.203158 | + | 0.490466i | ||||
\(750\) | 21.7120 | − | 5.14775i | 0.792809 | − | 0.187969i | ||||
\(751\) | 26.4151i | 0.963901i | 0.876198 | + | 0.481950i | \(0.160071\pi\) | ||||
−0.876198 | + | 0.481950i | \(0.839929\pi\) | |||||||
\(752\) | −0.638445 | − | 0.474973i | −0.0232817 | − | 0.0173205i | ||||
\(753\) | − | 79.8653i | − | 2.91045i | ||||||
\(754\) | −12.6700 | − | 53.4391i | −0.461415 | − | 1.94614i | ||||
\(755\) | 4.25382 | − | 10.2696i | 0.154812 | − | 0.373750i | ||||
\(756\) | 0.713677 | + | 9.77392i | 0.0259562 | + | 0.355474i | ||||
\(757\) | −24.6866 | + | 10.2255i | −0.897251 | + | 0.371654i | −0.783163 | − | 0.621817i | \(-0.786395\pi\) |
−0.114089 | + | 0.993471i | \(0.536395\pi\) | |||||||
\(758\) | 2.79513 | + | 0.450803i | 0.101524 | + | 0.0163739i | ||||
\(759\) | 20.5136 | + | 20.5136i | 0.744595 | + | 0.744595i | ||||
\(760\) | 1.75207 | + | 0.152844i | 0.0635543 | + | 0.00554422i | ||||
\(761\) | −18.9020 | + | 18.9020i | −0.685198 | + | 0.685198i | −0.961167 | − | 0.275969i | \(-0.911001\pi\) |
0.275969 | + | 0.961167i | \(0.411001\pi\) | |||||||
\(762\) | −9.79324 | + | 7.07302i | −0.354772 | + | 0.256228i | ||||
\(763\) | −3.16762 | − | 7.64731i | −0.114676 | − | 0.276851i | ||||
\(764\) | −5.83622 | − | 11.6160i | −0.211147 | − | 0.420253i | ||||
\(765\) | −12.3859 | − | 5.13039i | −0.447812 | − | 0.185490i | ||||
\(766\) | −3.71955 | + | 6.03144i | −0.134393 | + | 0.217925i | ||||
\(767\) | −18.9907 | −0.685714 | ||||||||
\(768\) | −4.50005 | + | 44.3405i | −0.162382 | + | 1.60000i | ||||
\(769\) | 24.3371 | 0.877617 | 0.438809 | − | 0.898581i | \(-0.355401\pi\) | ||||
0.438809 | + | 0.898581i | \(0.355401\pi\) | |||||||
\(770\) | 0.517658 | − | 0.839409i | 0.0186551 | − | 0.0302502i | ||||
\(771\) | −18.1506 | − | 7.51824i | −0.653679 | − | 0.270763i | ||||
\(772\) | 16.5564 | + | 32.9528i | 0.595879 | + | 1.18600i | ||||
\(773\) | −13.5536 | − | 32.7212i | −0.487488 | − | 1.17690i | −0.955980 | − | 0.293433i | \(-0.905202\pi\) |
0.468491 | − | 0.883468i | \(-0.344798\pi\) | |||||||
\(774\) | 68.8128 | − | 49.6990i | 2.47343 | − | 1.78639i | ||||
\(775\) | −11.2151 | + | 11.2151i | −0.402860 | + | 0.402860i | ||||
\(776\) | −50.8373 | − | 4.43484i | −1.82495 | − | 0.159202i | ||||
\(777\) | 1.11816 | + | 1.11816i | 0.0401139 | + | 0.0401139i | ||||
\(778\) | −2.68942 | − | 0.433754i | −0.0964202 | − | 0.0155508i | ||||
\(779\) | −1.00251 | + | 0.415254i | −0.0359187 | + | 0.0148780i | ||||
\(780\) | −1.28503 | − | 17.5986i | −0.0460114 | − | 0.630133i | ||||
\(781\) | 0.948224 | − | 2.28922i | 0.0339301 | − | 0.0819146i | ||||
\(782\) | −13.7261 | − | 57.8935i | −0.490845 | − | 2.07027i | ||||
\(783\) | − | 35.2434i | − | 1.25950i | ||||||
\(784\) | 3.20929 | + | 2.38756i | 0.114618 | + | 0.0852701i | ||||
\(785\) | 10.1871i | 0.363593i | ||||||||
\(786\) | 60.6532 | − | 14.3804i | 2.16343 | − | 0.512933i | ||||
\(787\) | 10.2148 | − | 24.6606i | 0.364117 | − | 0.879056i | −0.630572 | − | 0.776131i | \(-0.717180\pi\) |
0.994689 | − | 0.102925i | \(-0.0328203\pi\) | |||||||
\(788\) | −8.62233 | + | 9.98070i | −0.307158 | + | 0.355548i | ||||
\(789\) | −30.3660 | + | 12.5780i | −1.08106 | + | 0.447789i | ||||
\(790\) | 0.552281 | − | 3.42432i | 0.0196493 | − | 0.121832i | ||||
\(791\) | −1.17942 | − | 1.17942i | −0.0419355 | − | 0.0419355i | ||||
\(792\) | −14.1951 | − | 7.38498i | −0.504401 | − | 0.262414i | ||||
\(793\) | 28.9043 | − | 28.9043i | 1.02642 | − | 1.02642i | ||||
\(794\) | 2.33325 | + | 3.23060i | 0.0828040 | + | 0.114650i | ||||
\(795\) | −1.86831 | − | 4.51049i | −0.0662620 | − | 0.159971i | ||||
\(796\) | 3.91865 | + | 1.29777i | 0.138893 | + | 0.0459983i | ||||
\(797\) | 5.17470 | + | 2.14343i | 0.183297 | + | 0.0759242i | 0.472444 | − | 0.881360i | \(-0.343372\pi\) |
−0.289147 | + | 0.957285i | \(0.593372\pi\) | |||||||
\(798\) | −3.55403 | − | 2.19175i | −0.125811 | − | 0.0775871i | ||||
\(799\) | −0.955296 | −0.0337959 | ||||||||
\(800\) | −24.1879 | − | 10.4217i | −0.855172 | − | 0.368462i | ||||
\(801\) | −27.6692 | −0.977645 | ||||||||
\(802\) | 9.09742 | + | 5.61032i | 0.321241 | + | 0.198107i | ||||
\(803\) | −12.7197 | − | 5.26868i | −0.448869 | − | 0.185928i | ||||
\(804\) | −12.2050 | + | 36.8533i | −0.430438 | + | 1.29972i | ||||
\(805\) | 1.96684 | + | 4.74838i | 0.0693221 | + | 0.167358i | ||||
\(806\) | 15.2298 | + | 21.0871i | 0.536447 | + | 0.742760i | ||||
\(807\) | 25.8761 | − | 25.8761i | 0.910883 | − | 0.910883i | ||||
\(808\) | −13.5865 | − | 43.0533i | −0.477973 | − | 1.51461i | ||||
\(809\) | 26.5585 | + | 26.5585i | 0.933746 | + | 0.933746i | 0.997938 | − | 0.0641913i | \(-0.0204468\pi\) |
−0.0641913 | + | 0.997938i | \(0.520447\pi\) | |||||||
\(810\) | −0.0830003 | + | 0.514628i | −0.00291633 | + | 0.0180822i | ||||
\(811\) | 2.79269 | − | 1.15677i | 0.0980646 | − | 0.0406197i | −0.333112 | − | 0.942887i | \(-0.608099\pi\) |
0.431176 | + | 0.902268i | \(0.358099\pi\) | |||||||
\(812\) | −10.8856 | − | 9.40407i | −0.382009 | − | 0.330018i | ||||
\(813\) | −17.2473 | + | 41.6386i | −0.604888 | + | 1.46033i | ||||
\(814\) | −0.928620 | + | 0.220169i | −0.0325481 | + | 0.00771692i | ||||
\(815\) | 3.49774i | 0.122520i | ||||||||
\(816\) | 27.4386 | + | 45.9330i | 0.960543 | + | 1.60798i | ||||
\(817\) | 13.3682i | 0.467695i | ||||||||
\(818\) | −6.51281 | − | 27.4695i | −0.227715 | − | 0.960447i | ||||
\(819\) | −9.83329 | + | 23.7397i | −0.343603 | + | 0.829531i | ||||
\(820\) | −1.19791 | + | 0.0874695i | −0.0418328 | + | 0.00305457i | ||||
\(821\) | −15.6686 | + | 6.49016i | −0.546839 | + | 0.226508i | −0.638960 | − | 0.769240i | \(-0.720635\pi\) |
0.0921215 | + | 0.995748i | \(0.470635\pi\) | |||||||
\(822\) | 58.7898 | + | 9.48173i | 2.05053 | + | 0.330713i | ||||
\(823\) | −8.96497 | − | 8.96497i | −0.312499 | − | 0.312499i | 0.533378 | − | 0.845877i | \(-0.320922\pi\) |
−0.845877 | + | 0.533378i | \(0.820922\pi\) | |||||||
\(824\) | 24.9285 | − | 20.9281i | 0.868425 | − | 0.729066i | ||||
\(825\) | 10.9012 | − | 10.9012i | 0.379532 | − | 0.379532i | ||||
\(826\) | −4.03243 | + | 2.91236i | −0.140306 | + | 0.101334i | ||||
\(827\) | −8.72267 | − | 21.0584i | −0.303317 | − | 0.732272i | −0.999891 | − | 0.0147868i | \(-0.995293\pi\) |
0.696574 | − | 0.717485i | \(-0.254707\pi\) | |||||||
\(828\) | 74.5149 | − | 37.4384i | 2.58957 | − | 1.30107i | ||||
\(829\) | −34.3748 | − | 14.2385i | −1.19389 | − | 0.494524i | −0.304867 | − | 0.952395i | \(-0.598612\pi\) |
−0.889019 | + | 0.457871i | \(0.848612\pi\) | |||||||
\(830\) | 1.45244 | − | 2.35520i | 0.0504148 | − | 0.0817501i | ||||
\(831\) | 32.9545 | 1.14318 | ||||||||
\(832\) | −23.1900 | + | 36.4412i | −0.803967 | + | 1.26337i | ||||
\(833\) | 4.80202 | 0.166380 | ||||||||
\(834\) | 29.7027 | − | 48.1644i | 1.02852 | − | 1.66780i | ||||
\(835\) | −6.84405 | − | 2.83490i | −0.236848 | − | 0.0981057i | ||||
\(836\) | 2.25178 | − | 1.13136i | 0.0778795 | − | 0.0391288i | ||||
\(837\) | 6.38781 | + | 15.4215i | 0.220795 | + | 0.533047i | ||||
\(838\) | −8.35140 | + | 6.03167i | −0.288494 | + | 0.208361i | ||||
\(839\) | 12.1099 | − | 12.1099i | 0.418082 | − | 0.418082i | −0.466460 | − | 0.884542i | \(-0.654471\pi\) |
0.884542 | + | 0.466460i | \(0.154471\pi\) | |||||||
\(840\) | −2.97174 | − | 3.53978i | −0.102535 | − | 0.122134i | ||||
\(841\) | 16.0748 | + | 16.0748i | 0.554302 | + | 0.554302i | ||||
\(842\) | 11.7918 | + | 1.90180i | 0.406372 | + | 0.0655404i | ||||
\(843\) | 44.5738 | − | 18.4631i | 1.53520 | − | 0.635902i | ||||
\(844\) | −14.4261 | + | 1.05337i | −0.496565 | + | 0.0362585i | ||||
\(845\) | 3.62605 | − | 8.75405i | 0.124740 | − | 0.301148i | ||||
\(846\) | −0.308884 | − | 1.30280i | −0.0106196 | − | 0.0447911i | ||||
\(847\) | 9.58692i | 0.329410i | ||||||||
\(848\) | −2.92103 | + | 11.5884i | −0.100308 | + | 0.397948i | ||||
\(849\) | − | 2.71602i | − | 0.0932135i | ||||||
\(850\) | −30.7655 | + | 7.29426i | −1.05525 | + | 0.250191i | ||||
\(851\) | 1.90336 | − | 4.59512i | 0.0652464 | − | 0.157519i | ||||
\(852\) | −8.78740 | − | 7.59144i | −0.301051 | − | 0.260078i | ||||
\(853\) | 2.75528 | − | 1.14127i | 0.0943389 | − | 0.0390765i | −0.335015 | − | 0.942213i | \(-0.608741\pi\) |
0.429354 | + | 0.903136i | \(0.358741\pi\) | |||||||
\(854\) | 1.70478 | − | 10.5702i | 0.0583362 | − | 0.361703i | ||||
\(855\) | 2.09248 | + | 2.09248i | 0.0715614 | + | 0.0715614i | ||||
\(856\) | −39.1891 | + | 12.3671i | −1.33945 | + | 0.422698i | ||||
\(857\) | 13.9869 | − | 13.9869i | 0.477782 | − | 0.477782i | −0.426640 | − | 0.904422i | \(-0.640303\pi\) |
0.904422 | + | 0.426640i | \(0.140303\pi\) | |||||||
\(858\) | −14.8035 | − | 20.4968i | −0.505383 | − | 0.699749i | ||||
\(859\) | 9.63663 | + | 23.2649i | 0.328797 | + | 0.793787i | 0.998682 | + | 0.0513221i | \(0.0163435\pi\) |
−0.669885 | + | 0.742465i | \(0.733656\pi\) | |||||||
\(860\) | −4.65201 | + | 14.0468i | −0.158632 | + | 0.478993i | ||||
\(861\) | 2.63455 | + | 1.09126i | 0.0897851 | + | 0.0371902i | ||||
\(862\) | −1.50822 | − | 0.930112i | −0.0513703 | − | 0.0316797i | ||||
\(863\) | 30.3799 | 1.03415 | 0.517073 | − | 0.855942i | \(-0.327022\pi\) | ||||
0.517073 | + | 0.855942i | \(0.327022\pi\) | |||||||
\(864\) | −19.8748 | + | 19.3211i | −0.676154 | + | 0.657315i | ||||
\(865\) | 2.89180 | 0.0983240 | ||||||||
\(866\) | −14.5216 | − | 8.95536i | −0.493463 | − | 0.304315i | ||||
\(867\) | 15.5936 | + | 6.45910i | 0.529588 | + | 0.219362i | ||||
\(868\) | 6.46771 | + | 2.14197i | 0.219528 | + | 0.0727031i | ||||
\(869\) | −1.90194 | − | 4.59168i | −0.0645188 | − | 0.155762i | ||||
\(870\) | 9.73179 | + | 13.4746i | 0.329939 | + | 0.456830i | ||||
\(871\) | −26.6048 | + | 26.6048i | −0.901469 | + | 0.901469i | ||||
\(872\) | 10.8053 | − | 20.7694i | 0.365912 | − | 0.703341i | ||||
\(873\) | −60.7145 | − | 60.7145i | −2.05488 | − | 2.05488i | ||||
\(874\) | −2.09113 | + | 12.9657i | −0.0707335 | + | 0.438571i | ||||
\(875\) | 5.23323 | − | 2.16767i | 0.176915 | − | 0.0732808i | ||||
\(876\) | −42.1808 | + | 48.8260i | −1.42516 | + | 1.64968i | ||||
\(877\) | −6.54989 | + | 15.8128i | −0.221174 | + | 0.533961i | −0.995050 | − | 0.0993759i | \(-0.968315\pi\) |
0.773876 | + | 0.633337i | \(0.218315\pi\) | |||||||
\(878\) | −2.00931 | + | 0.476392i | −0.0678109 | + | 0.0160775i | ||||
\(879\) | 13.2352i | 0.446411i | ||||||||
\(880\) | 2.75979 | − | 0.405192i | 0.0930325 | − | 0.0136590i | ||||
\(881\) | − | 18.6383i | − | 0.627940i | −0.949433 | − | 0.313970i | \(-0.898341\pi\) | ||
0.949433 | − | 0.313970i | \(-0.101659\pi\) | |||||||
\(882\) | 1.55268 | + | 6.54882i | 0.0522814 | + | 0.220510i | ||||
\(883\) | 0.621397 | − | 1.50018i | 0.0209117 | − | 0.0504852i | −0.913079 | − | 0.407783i | \(-0.866302\pi\) |
0.933990 | + | 0.357298i | \(0.116302\pi\) | |||||||
\(884\) | 3.77631 | + | 51.7171i | 0.127011 | + | 1.73943i | ||||
\(885\) | 5.30994 | − | 2.19945i | 0.178492 | − | 0.0739336i | ||||
\(886\) | 24.9546 | + | 4.02473i | 0.838366 | + | 0.135213i | ||||
\(887\) | 14.1130 | + | 14.1130i | 0.473870 | + | 0.473870i | 0.903164 | − | 0.429295i | \(-0.141238\pi\) |
−0.429295 | + | 0.903164i | \(0.641238\pi\) | |||||||
\(888\) | −0.388700 | + | 4.45573i | −0.0130439 | + | 0.149525i | ||||
\(889\) | −2.16843 | + | 2.16843i | −0.0727267 | + | 0.0727267i | ||||
\(890\) | 3.91019 | − | 2.82408i | 0.131070 | − | 0.0946633i | ||||
\(891\) | 0.285835 | + | 0.690067i | 0.00957583 | + | 0.0231181i | ||||
\(892\) | −16.8123 | − | 33.4622i | −0.562919 | − | 1.12040i | ||||
\(893\) | 0.194814 | + | 0.0806944i | 0.00651919 | + | 0.00270034i | ||||
\(894\) | 47.9030 | − | 77.6772i | 1.60212 | − | 2.59791i | ||||
\(895\) | −9.73696 | −0.325471 | ||||||||
\(896\) | 0.664441 | + | 11.2942i | 0.0221974 | + | 0.377312i | ||||
\(897\) | 131.767 | 4.39958 | ||||||||
\(898\) | 16.5621 | − | 26.8563i | 0.552684 | − | 0.896206i | ||||
\(899\) | −22.6370 | − | 9.37656i | −0.754986 | − | 0.312726i | ||||
\(900\) | −19.8953 | − | 39.5983i | −0.663177 | − | 1.31994i | ||||
\(901\) | 5.49039 | + | 13.2550i | 0.182911 | + | 0.441587i | ||||
\(902\) | −1.39518 | + | 1.00765i | −0.0464544 | + | 0.0335510i | ||||
\(903\) | 24.8413 | − | 24.8413i | 0.826667 | − | 0.826667i | ||||
\(904\) | 0.409996 | − | 4.69985i | 0.0136363 | − | 0.156315i | ||||
\(905\) | 4.66563 | + | 4.66563i | 0.155091 | + | 0.155091i | ||||
\(906\) | −73.6920 | − | 11.8852i | −2.44825 | − | 0.394859i | ||||
\(907\) | −18.8434 | + | 7.80520i | −0.625686 | + | 0.259168i | −0.672919 | − | 0.739716i | \(-0.734960\pi\) |
0.0472330 | + | 0.998884i | \(0.484960\pi\) | |||||||
\(908\) | 2.80836 | + | 38.4609i | 0.0931988 | + | 1.27637i | ||||
\(909\) | 29.0697 | − | 70.1804i | 0.964180 | − | 2.32774i | ||||
\(910\) | −1.03337 | − | 4.35851i | −0.0342559 | − | 0.144483i | ||||
\(911\) | 0.723529i | 0.0239716i | 0.999928 | + | 0.0119858i | \(0.00381529\pi\) | ||||
−0.999928 | + | 0.0119858i | \(0.996185\pi\) | |||||||
\(912\) | −1.71557 | − | 11.6849i | −0.0568083 | − | 0.386925i | ||||
\(913\) | − | 3.96480i | − | 0.131216i | ||||||
\(914\) | −26.8964 | + | 6.37694i | −0.889655 | + | 0.210931i | ||||
\(915\) | −4.73425 | + | 11.4295i | −0.156509 | + | 0.377847i | ||||
\(916\) | 9.54574 | − | 11.0496i | 0.315400 | − | 0.365088i | ||||
\(917\) | 14.6192 | − | 6.05548i | 0.482769 | − | 0.199970i | ||||
\(918\) | −5.29836 | + | 32.8515i | −0.174872 | + | 1.08426i | ||||
\(919\) | 17.0249 | + | 17.0249i | 0.561599 | + | 0.561599i | 0.929761 | − | 0.368163i | \(-0.120013\pi\) |
−0.368163 | + | 0.929761i | \(0.620013\pi\) | |||||||
\(920\) | −6.70921 | + | 12.8962i | −0.221196 | + | 0.425174i | ||||
\(921\) | −47.6437 | + | 47.6437i | −1.56991 | + | 1.56991i | ||||
\(922\) | 21.2898 | + | 29.4776i | 0.701141 | + | 0.970794i | ||||
\(923\) | −4.30688 | − | 10.3977i | −0.141763 | − | 0.342245i | ||||
\(924\) | −6.28667 | − | 2.08201i | −0.206816 | − | 0.0684931i | ||||
\(925\) | −2.44192 | − | 1.01147i | −0.0802897 | − | 0.0332571i | ||||
\(926\) | 36.5373 | + | 22.5323i | 1.20069 | + | 0.740459i | ||||
\(927\) | 54.7661 | 1.79876 | ||||||||
\(928\) | 0.574753 | − | 40.6833i | 0.0188672 | − | 1.33549i | ||||
\(929\) | 23.9912 | 0.787125 | 0.393562 | − | 0.919298i | \(-0.371243\pi\) | ||||
0.393562 | + | 0.919298i | \(0.371243\pi\) | |||||||
\(930\) | −6.70061 | − | 4.13222i | −0.219722 | − | 0.135501i | ||||
\(931\) | −0.979276 | − | 0.405629i | −0.0320945 | − | 0.0132940i | ||||
\(932\) | −11.8866 | + | 35.8918i | −0.389358 | + | 1.17568i | ||||
\(933\) | −1.64056 | − | 3.96065i | −0.0537094 | − | 0.129666i | ||||
\(934\) | 26.3614 | + | 36.4997i | 0.862571 | + | 1.19431i | ||||
\(935\) | 2.36786 | − | 2.36786i | 0.0774373 | − | 0.0774373i | ||||
\(936\) | −69.3090 | + | 21.8721i | −2.26543 | + | 0.714913i | ||||
\(937\) | 27.8464 | + | 27.8464i | 0.909703 | + | 0.909703i | 0.996248 | − | 0.0865452i | \(-0.0275827\pi\) |
−0.0865452 | + | 0.996248i | \(0.527583\pi\) | |||||||
\(938\) | −1.56915 | + | 9.72923i | −0.0512345 | + | 0.317671i | ||||
\(939\) | −70.0522 | + | 29.0166i | −2.28607 | + | 0.946921i | ||||
\(940\) | 0.176622 | + | 0.152584i | 0.00576078 | + | 0.00497674i | ||||
\(941\) | 11.9809 | − | 28.9244i | 0.390565 | − | 0.942907i | −0.599252 | − | 0.800560i | \(-0.704535\pi\) |
0.989817 | − | 0.142346i | \(-0.0454647\pi\) | |||||||
\(942\) | 66.5629 | − | 15.7816i | 2.16874 | − | 0.514191i | ||||
\(943\) | − | 8.96916i | − | 0.292076i | ||||||
\(944\) | −13.6423 | − | 3.43875i | −0.444021 | − | 0.111922i | ||||
\(945\) | − | 2.87446i | − | 0.0935062i | ||||||
\(946\) | 4.89131 | + | 20.6304i | 0.159030 | + | 0.670752i | ||||
\(947\) | −5.95877 | + | 14.3858i | −0.193634 | + | 0.467474i | −0.990641 | − | 0.136497i | \(-0.956416\pi\) |
0.797006 | + | 0.603971i | \(0.206416\pi\) | |||||||
\(948\) | −23.2302 | + | 1.69624i | −0.754482 | + | 0.0550912i | ||||
\(949\) | −57.7735 | + | 23.9306i | −1.87541 | + | 0.776820i | ||||
\(950\) | 6.89016 | + | 1.11126i | 0.223546 | + | 0.0360540i | ||||
\(951\) | −24.6542 | − | 24.6542i | −0.799469 | − | 0.799469i | ||||
\(952\) | 8.73305 | + | 10.4023i | 0.283040 | + | 0.337142i | ||||
\(953\) | 19.9937 | − | 19.9937i | 0.647658 | − | 0.647658i | −0.304768 | − | 0.952427i | \(-0.598579\pi\) |
0.952427 | + | 0.304768i | \(0.0985790\pi\) | |||||||
\(954\) | −16.3014 | + | 11.7735i | −0.527778 | + | 0.381180i | ||||
\(955\) | 1.45918 | + | 3.52277i | 0.0472179 | + | 0.113994i | ||||
\(956\) | 25.7205 | − | 12.9227i | 0.831862 | − | 0.417951i | ||||
\(957\) | 22.0034 | + | 9.11409i | 0.711268 | + | 0.294617i | ||||
\(958\) | 31.6042 | − | 51.2478i | 1.02109 | − | 1.65574i | ||||
\(959\) | 15.1167 | 0.488145 | ||||||||
\(960\) | 2.26356 | − | 12.8750i | 0.0730561 | − | 0.415540i | ||||
\(961\) | −19.3952 | −0.625651 | ||||||||
\(962\) | −2.27534 | + | 3.68958i | −0.0733599 | + | 0.118957i | ||||
\(963\) | −63.8813 | − | 26.4605i | −2.05855 | − | 0.852678i | ||||
\(964\) | −29.4392 | + | 14.7911i | −0.948171 | + | 0.476388i | ||||
\(965\) | −4.13945 | − | 9.99352i | −0.133254 | − | 0.321703i | ||||
\(966\) | 27.9791 | − | 20.2075i | 0.900213 | − | 0.650165i | ||||
\(967\) | −24.9898 | + | 24.9898i | −0.803618 | + | 0.803618i | −0.983659 | − | 0.180041i | \(-0.942377\pi\) |
0.180041 | + | 0.983659i | \(0.442377\pi\) | |||||||
\(968\) | −20.7676 | + | 17.4350i | −0.667496 | + | 0.560381i | ||||
\(969\) | −10.0254 | − | 10.0254i | −0.322064 | − | 0.322064i | ||||
\(970\) | 14.7770 | + | 2.38326i | 0.474460 | + | 0.0765219i | ||||
\(971\) | 1.45652 | − | 0.603312i | 0.0467421 | − | 0.0193612i | −0.359190 | − | 0.933264i | \(-0.616947\pi\) |
0.405932 | + | 0.913903i | \(0.366947\pi\) | |||||||
\(972\) | 32.8129 | − | 2.39595i | 1.05248 | − | 0.0768502i | ||||
\(973\) | 5.49711 | − | 13.2712i | 0.176229 | − | 0.425455i | ||||
\(974\) | 10.8372 | + | 45.7087i | 0.347246 | + | 1.46460i | ||||
\(975\) | − | 70.0231i | − | 2.24253i | ||||||
\(976\) | 25.9979 | − | 15.5302i | 0.832173 | − | 0.497108i | ||||
\(977\) | 42.1678i | 1.34907i | 0.738244 | + | 0.674533i | \(0.235655\pi\) | ||||
−0.738244 | + | 0.674533i | \(0.764345\pi\) | |||||||
\(978\) | 22.8544 | − | 5.41860i | 0.730802 | − | 0.173268i | ||||
\(979\) | 2.64483 | − | 6.38517i | 0.0845290 | − | 0.204071i | ||||
\(980\) | −0.887832 | − | 0.766999i | −0.0283607 | − | 0.0245009i | ||||
\(981\) | 36.3943 | − | 15.0750i | 1.16198 | − | 0.481308i | ||||
\(982\) | −1.22950 | + | 7.62333i | −0.0392351 | + | 0.243270i | ||||
\(983\) | −4.91737 | − | 4.91737i | −0.156840 | − | 0.156840i | 0.624325 | − | 0.781165i | \(-0.285374\pi\) |
−0.781165 | + | 0.624325i | \(0.785374\pi\) | |||||||
\(984\) | 2.42729 | + | 7.69167i | 0.0773793 | + | 0.245201i | ||||
\(985\) | 2.73553 | − | 2.73553i | 0.0871613 | − | 0.0871613i | ||||
\(986\) | −28.5988 | − | 39.5977i | −0.910771 | − | 1.26105i | ||||
\(987\) | −0.212060 | − | 0.511959i | −0.00674995 | − | 0.0162958i | ||||
\(988\) | 3.59847 | − | 10.8657i | 0.114483 | − | 0.345683i | ||||
\(989\) | −102.086 | − | 42.2854i | −3.24615 | − | 1.34460i | ||||
\(990\) | 3.99482 | + | 2.46358i | 0.126964 | + | 0.0782978i | ||||
\(991\) | 16.8512 | 0.535296 | 0.267648 | − | 0.963517i | \(-0.413754\pi\) | ||||
0.267648 | + | 0.963517i | \(0.413754\pi\) | |||||||
\(992\) | 7.12229 | + | 17.9061i | 0.226133 | + | 0.568518i | ||||
\(993\) | −47.3864 | −1.50376 | ||||||||
\(994\) | −2.50908 | − | 1.54733i | −0.0795831 | − | 0.0490784i | ||||
\(995\) | −1.11862 | − | 0.463348i | −0.0354627 | − | 0.0146891i | ||||
\(996\) | −17.6390 | − | 5.84166i | −0.558914 | − | 0.185100i | ||||
\(997\) | 22.2920 | + | 53.8177i | 0.705995 | + | 1.70442i | 0.709774 | + | 0.704430i | \(0.248797\pi\) |
−0.00377885 | + | 0.999993i | \(0.501203\pi\) | |||||||
\(998\) | −6.53669 | − | 9.05065i | −0.206915 | − | 0.286493i | ||||
\(999\) | −1.96695 | + | 1.96695i | −0.0622315 | + | 0.0622315i |
(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 | 224.2.u.c.29.5 | ✓ | 52 | |
4.3 | odd | 2 | 896.2.u.c.337.12 | 52 | |||
32.11 | odd | 8 | 896.2.u.c.561.12 | 52 | |||
32.21 | even | 8 | inner | 224.2.u.c.85.5 | yes | 52 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
224.2.u.c.29.5 | ✓ | 52 | 1.1 | even | 1 | trivial | |
224.2.u.c.85.5 | yes | 52 | 32.21 | even | 8 | inner | |
896.2.u.c.337.12 | 52 | 4.3 | odd | 2 | |||
896.2.u.c.561.12 | 52 | 32.11 | odd | 8 |