Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(11,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([33, 44, 27]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.bf (of order \(66\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(1280\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 11.20 | ||
Character | \(\chi\) | \(=\) | 966.11 |
Dual form | 966.2.bf.a.527.20 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{9}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.458227 | + | 0.888835i | −0.324015 | + | 0.628502i | ||||
\(3\) | 0.470566 | + | 1.66690i | 0.271681 | + | 0.962387i | ||||
\(4\) | −0.580057 | − | 0.814576i | −0.290028 | − | 0.407288i | ||||
\(5\) | 2.48669 | + | 2.37105i | 1.11208 | + | 1.06037i | 0.997758 | + | 0.0669218i | \(0.0213178\pi\) |
0.114321 | + | 0.993444i | \(0.463531\pi\) | |||||||
\(6\) | −1.69723 | − | 0.345564i | −0.692891 | − | 0.141076i | ||||
\(7\) | 1.41557 | + | 2.23521i | 0.535034 | + | 0.844831i | ||||
\(8\) | 0.989821 | − | 0.142315i | 0.349955 | − | 0.0503159i | ||||
\(9\) | −2.55714 | + | 1.56878i | −0.852378 | + | 0.522926i | ||||
\(10\) | −3.24694 | + | 1.12378i | −1.02677 | + | 0.355369i | ||||
\(11\) | −4.32290 | + | 2.22861i | −1.30340 | + | 0.671952i | −0.963298 | − | 0.268435i | \(-0.913493\pi\) |
−0.340107 | + | 0.940387i | \(0.610463\pi\) | |||||||
\(12\) | 1.08486 | − | 1.35021i | 0.313173 | − | 0.389772i | ||||
\(13\) | 0.188610 | − | 0.217667i | 0.0523109 | − | 0.0603700i | −0.728991 | − | 0.684523i | \(-0.760010\pi\) |
0.781302 | + | 0.624153i | \(0.214556\pi\) | |||||||
\(14\) | −2.63539 | + | 0.233972i | −0.704336 | + | 0.0625318i | ||||
\(15\) | −2.78216 | + | 5.26080i | −0.718351 | + | 1.35833i | ||||
\(16\) | −0.327068 | + | 0.945001i | −0.0817670 | + | 0.236250i | ||||
\(17\) | 4.39504 | + | 0.419676i | 1.06595 | + | 0.101786i | 0.613261 | − | 0.789880i | \(-0.289857\pi\) |
0.452693 | + | 0.891666i | \(0.350463\pi\) | |||||||
\(18\) | −0.222637 | − | 2.99173i | −0.0524761 | − | 0.705157i | ||||
\(19\) | −0.710438 | − | 7.44005i | −0.162986 | − | 1.70686i | −0.593956 | − | 0.804498i | \(-0.702435\pi\) |
0.430970 | − | 0.902366i | \(-0.358171\pi\) | |||||||
\(20\) | 0.488981 | − | 3.40094i | 0.109339 | − | 0.760473i | ||||
\(21\) | −3.05976 | + | 3.41143i | −0.667695 | + | 0.744435i | ||||
\(22\) | − | 4.86356i | − | 1.03691i | ||||||
\(23\) | −3.05751 | + | 3.69481i | −0.637536 | + | 0.770421i | ||||
\(24\) | 0.703002 | + | 1.58297i | 0.143500 | + | 0.323122i | ||||
\(25\) | 0.323818 | + | 6.79777i | 0.0647635 | + | 1.35955i | ||||
\(26\) | 0.107044 | + | 0.267384i | 0.0209931 | + | 0.0524383i | ||||
\(27\) | −3.81830 | − | 3.52428i | −0.734832 | − | 0.678249i | ||||
\(28\) | 0.999641 | − | 2.44964i | 0.188914 | − | 0.462938i | ||||
\(29\) | 2.13561 | − | 0.975302i | 0.396574 | − | 0.181109i | −0.207138 | − | 0.978312i | \(-0.566415\pi\) |
0.603712 | + | 0.797203i | \(0.293688\pi\) | |||||||
\(30\) | −3.40113 | − | 4.88352i | −0.620958 | − | 0.891605i | ||||
\(31\) | −1.61800 | − | 0.647749i | −0.290601 | − | 0.116339i | 0.221782 | − | 0.975096i | \(-0.428813\pi\) |
−0.512383 | + | 0.858757i | \(0.671237\pi\) | |||||||
\(32\) | −0.690079 | − | 0.723734i | −0.121990 | − | 0.127939i | ||||
\(33\) | −5.74909 | − | 6.15715i | −1.00079 | − | 1.07182i | ||||
\(34\) | −2.38695 | + | 3.71416i | −0.409358 | + | 0.636974i | ||||
\(35\) | −1.77973 | + | 8.91465i | −0.300829 | + | 1.50685i | ||||
\(36\) | 2.76117 | + | 1.17300i | 0.460195 | + | 0.195500i | ||||
\(37\) | 6.49671 | − | 1.57609i | 1.06805 | − | 0.259107i | 0.337054 | − | 0.941485i | \(-0.390570\pi\) |
0.730999 | + | 0.682379i | \(0.239054\pi\) | |||||||
\(38\) | 6.93852 | + | 2.77776i | 1.12558 | + | 0.450613i | ||||
\(39\) | 0.451584 | + | 0.211967i | 0.0723113 | + | 0.0339420i | ||||
\(40\) | 2.79881 | + | 1.99302i | 0.442531 | + | 0.315125i | ||||
\(41\) | 1.16810 | + | 3.97817i | 0.182426 | + | 0.621286i | 0.999028 | + | 0.0440844i | \(0.0140371\pi\) |
−0.816602 | + | 0.577201i | \(0.804145\pi\) | |||||||
\(42\) | −1.63013 | − | 4.28283i | −0.251535 | − | 0.660856i | ||||
\(43\) | 2.32276 | + | 0.333963i | 0.354218 | + | 0.0509289i | 0.317127 | − | 0.948383i | \(-0.397282\pi\) |
0.0370909 | + | 0.999312i | \(0.488191\pi\) | |||||||
\(44\) | 4.32290 | + | 2.22861i | 0.651702 | + | 0.335976i | ||||
\(45\) | −10.0784 | − | 2.16204i | −1.50240 | − | 0.322298i | ||||
\(46\) | −1.88304 | − | 4.41069i | −0.277640 | − | 0.650320i | ||||
\(47\) | 11.7182 | − | 6.76548i | 1.70927 | − | 0.986847i | 0.773807 | − | 0.633421i | \(-0.218350\pi\) |
0.935462 | − | 0.353426i | \(-0.114983\pi\) | |||||||
\(48\) | −1.72913 | − | 0.100505i | −0.249579 | − | 0.0145067i | ||||
\(49\) | −2.99234 | + | 6.32818i | −0.427478 | + | 0.904026i | ||||
\(50\) | −6.19048 | − | 2.82710i | −0.875466 | − | 0.399812i | ||||
\(51\) | 1.36860 | + | 7.52360i | 0.191642 | + | 1.05351i | ||||
\(52\) | −0.286711 | − | 0.0273776i | −0.0397596 | − | 0.00379659i | ||||
\(53\) | −0.942586 | + | 0.181669i | −0.129474 | + | 0.0249541i | −0.253577 | − | 0.967315i | \(-0.581607\pi\) |
0.124102 | + | 0.992269i | \(0.460395\pi\) | |||||||
\(54\) | 4.88216 | − | 1.77892i | 0.664377 | − | 0.242080i | ||||
\(55\) | −16.0338 | − | 4.70796i | −2.16200 | − | 0.634821i | ||||
\(56\) | 1.71926 | + | 2.01100i | 0.229746 | + | 0.268732i | ||||
\(57\) | 12.0675 | − | 4.68527i | 1.59838 | − | 0.620579i | ||||
\(58\) | −0.111712 | + | 2.34512i | −0.0146685 | + | 0.307929i | ||||
\(59\) | 3.71496 | − | 1.28576i | 0.483647 | − | 0.167392i | −0.0743543 | − | 0.997232i | \(-0.523690\pi\) |
0.558001 | + | 0.829840i | \(0.311568\pi\) | |||||||
\(60\) | 5.89913 | − | 0.785282i | 0.761575 | − | 0.101379i | ||||
\(61\) | 8.20228 | + | 10.4300i | 1.05019 | + | 1.33543i | 0.939869 | + | 0.341535i | \(0.110947\pi\) |
0.110325 | + | 0.993896i | \(0.464811\pi\) | |||||||
\(62\) | 1.31715 | − | 1.14132i | 0.167278 | − | 0.144948i | ||||
\(63\) | −7.12634 | − | 3.49503i | −0.897835 | − | 0.440332i | ||||
\(64\) | 0.959493 | − | 0.281733i | 0.119937 | − | 0.0352166i | ||||
\(65\) | 0.985113 | − | 0.0940669i | 0.122188 | − | 0.0116676i | ||||
\(66\) | 8.10708 | − | 2.28863i | 0.997913 | − | 0.281710i | ||||
\(67\) | −7.86067 | + | 0.374450i | −0.960334 | + | 0.0457463i | −0.521890 | − | 0.853013i | \(-0.674773\pi\) |
−0.438443 | + | 0.898759i | \(0.644470\pi\) | |||||||
\(68\) | −2.20752 | − | 3.82353i | −0.267701 | − | 0.463671i | ||||
\(69\) | −7.59765 | − | 3.35793i | −0.914650 | − | 0.404247i | ||||
\(70\) | −7.10813 | − | 5.66681i | −0.849585 | − | 0.677314i | ||||
\(71\) | −2.65577 | − | 4.13246i | −0.315182 | − | 0.490432i | 0.647131 | − | 0.762379i | \(-0.275969\pi\) |
−0.962312 | + | 0.271947i | \(0.912332\pi\) | |||||||
\(72\) | −2.30785 | + | 1.91673i | −0.271982 | + | 0.225888i | ||||
\(73\) | −4.90014 | − | 6.88128i | −0.573518 | − | 0.805393i | 0.421316 | − | 0.906914i | \(-0.361568\pi\) |
−0.994833 | + | 0.101521i | \(0.967629\pi\) | |||||||
\(74\) | −1.57609 | + | 6.49671i | −0.183216 | + | 0.755227i | ||||
\(75\) | −11.1789 | + | 3.73857i | −1.29082 | + | 0.431693i | ||||
\(76\) | −5.64839 | + | 4.89436i | −0.647915 | + | 0.561421i | ||||
\(77\) | −11.1008 | − | 6.50786i | −1.26505 | − | 0.741639i | ||||
\(78\) | −0.395332 | + | 0.304254i | −0.0447625 | + | 0.0344500i | ||||
\(79\) | 1.19444 | − | 6.19734i | 0.134385 | − | 0.697255i | −0.850763 | − | 0.525549i | \(-0.823860\pi\) |
0.985148 | − | 0.171706i | \(-0.0549279\pi\) | |||||||
\(80\) | −3.05396 | + | 1.57443i | −0.341443 | + | 0.176026i | ||||
\(81\) | 4.07788 | − | 8.02315i | 0.453098 | − | 0.891461i | ||||
\(82\) | −4.07119 | − | 0.784658i | −0.449588 | − | 0.0866510i | ||||
\(83\) | −9.50336 | − | 2.79044i | −1.04313 | − | 0.306290i | −0.285091 | − | 0.958500i | \(-0.592024\pi\) |
−0.758038 | + | 0.652210i | \(0.773842\pi\) | |||||||
\(84\) | 4.55370 | + | 0.513588i | 0.496850 | + | 0.0560371i | ||||
\(85\) | 9.93401 | + | 11.4645i | 1.07750 | + | 1.24350i | ||||
\(86\) | −1.36119 | + | 1.91152i | −0.146781 | + | 0.206125i | ||||
\(87\) | 2.63068 | + | 3.10092i | 0.282039 | + | 0.332453i | ||||
\(88\) | −3.96174 | + | 2.82114i | −0.422323 | + | 0.300735i | ||||
\(89\) | −16.6022 | + | 6.64653i | −1.75983 | + | 0.704531i | −0.761417 | + | 0.648263i | \(0.775496\pi\) |
−0.998416 | + | 0.0562676i | \(0.982080\pi\) | |||||||
\(90\) | 6.53991 | − | 7.96737i | 0.689367 | − | 0.839834i | ||||
\(91\) | 0.753522 | + | 0.113460i | 0.0789906 | + | 0.0118939i | ||||
\(92\) | 4.78323 | + | 0.347377i | 0.498687 | + | 0.0362165i | ||||
\(93\) | 0.318359 | − | 3.00185i | 0.0330123 | − | 0.311278i | ||||
\(94\) | 0.643829 | + | 13.5156i | 0.0664059 | + | 1.39403i | ||||
\(95\) | 15.8741 | − | 20.1855i | 1.62865 | − | 2.07099i | ||||
\(96\) | 0.881667 | − | 1.49086i | 0.0899848 | − | 0.152160i | ||||
\(97\) | 0.466827 | + | 1.58987i | 0.0473991 | + | 0.161427i | 0.979792 | − | 0.200021i | \(-0.0641009\pi\) |
−0.932393 | + | 0.361447i | \(0.882283\pi\) | |||||||
\(98\) | −4.25354 | − | 5.55944i | −0.429673 | − | 0.561588i | ||||
\(99\) | 7.55805 | − | 12.4805i | 0.759613 | − | 1.25434i | ||||
\(100\) | 5.34947 | − | 4.20687i | 0.534947 | − | 0.420687i | ||||
\(101\) | −6.10278 | − | 6.40041i | −0.607249 | − | 0.636865i | 0.346292 | − | 0.938127i | \(-0.387441\pi\) |
−0.953541 | + | 0.301262i | \(0.902592\pi\) | |||||||
\(102\) | −7.31437 | − | 2.23105i | −0.724230 | − | 0.220907i | ||||
\(103\) | 10.5384 | + | 0.502007i | 1.03838 | + | 0.0494642i | 0.559840 | − | 0.828600i | \(-0.310862\pi\) |
0.478542 | + | 0.878065i | \(0.341165\pi\) | |||||||
\(104\) | 0.155713 | − | 0.242294i | 0.0152689 | − | 0.0237589i | ||||
\(105\) | −15.6973 | + | 1.22829i | −1.53190 | + | 0.119869i | ||||
\(106\) | 0.270444 | − | 0.921049i | 0.0262679 | − | 0.0894602i | ||||
\(107\) | −5.39971 | + | 4.24638i | −0.522010 | + | 0.410513i | −0.844092 | − | 0.536199i | \(-0.819860\pi\) |
0.322082 | + | 0.946712i | \(0.395617\pi\) | |||||||
\(108\) | −0.655966 | + | 5.15458i | −0.0631203 | + | 0.496000i | ||||
\(109\) | −1.40420 | + | 14.7054i | −0.134498 | + | 1.40852i | 0.636300 | + | 0.771442i | \(0.280464\pi\) |
−0.770797 | + | 0.637080i | \(0.780142\pi\) | |||||||
\(110\) | 11.5317 | − | 12.0941i | 1.09951 | − | 1.15313i | ||||
\(111\) | 5.68431 | + | 10.0877i | 0.539531 | + | 0.957486i | ||||
\(112\) | −2.57526 | + | 0.606645i | −0.243340 | + | 0.0573226i | ||||
\(113\) | 7.07843 | − | 4.54903i | 0.665883 | − | 0.427937i | −0.163556 | − | 0.986534i | \(-0.552297\pi\) |
0.829439 | + | 0.558597i | \(0.188660\pi\) | |||||||
\(114\) | −1.36523 | + | 12.8730i | −0.127866 | + | 1.20566i | ||||
\(115\) | −16.3636 | + | 1.93831i | −1.52592 | + | 0.180749i | ||||
\(116\) | −2.03324 | − | 1.17389i | −0.188781 | − | 0.108993i | ||||
\(117\) | −0.140829 | + | 0.852491i | −0.0130197 | + | 0.0788128i | ||||
\(118\) | −0.559465 | + | 3.89116i | −0.0515029 | + | 0.358210i | ||||
\(119\) | 5.28341 | + | 10.4179i | 0.484329 | + | 0.955010i | ||||
\(120\) | −2.00515 | + | 5.60320i | −0.183045 | + | 0.511499i | ||||
\(121\) | 7.34016 | − | 10.3078i | 0.667287 | − | 0.937073i | ||||
\(122\) | −13.0291 | + | 2.51115i | −1.17960 | + | 0.227349i | ||||
\(123\) | −6.08156 | + | 3.81910i | −0.548356 | + | 0.344356i | ||||
\(124\) | 0.410890 | + | 1.69371i | 0.0368990 | + | 0.152100i | ||||
\(125\) | −4.06241 | + | 4.68827i | −0.363353 | + | 0.419331i | ||||
\(126\) | 6.37199 | − | 4.73263i | 0.567662 | − | 0.421616i | ||||
\(127\) | 2.65440 | + | 1.70588i | 0.235539 | + | 0.151372i | 0.653087 | − | 0.757283i | \(-0.273474\pi\) |
−0.417547 | + | 0.908655i | \(0.637110\pi\) | |||||||
\(128\) | −0.189251 | + | 0.981929i | −0.0167276 | + | 0.0867911i | ||||
\(129\) | 0.536329 | + | 4.02897i | 0.0472212 | + | 0.354731i | ||||
\(130\) | −0.367795 | + | 0.918707i | −0.0322577 | + | 0.0805760i | ||||
\(131\) | −2.75259 | − | 0.952682i | −0.240495 | − | 0.0832362i | 0.204162 | − | 0.978937i | \(-0.434553\pi\) |
−0.444657 | + | 0.895701i | \(0.646674\pi\) | |||||||
\(132\) | −1.68067 | + | 8.25457i | −0.146283 | + | 0.718468i | ||||
\(133\) | 15.6244 | − | 12.1199i | 1.35481 | − | 1.05093i | ||||
\(134\) | 3.26914 | − | 7.15843i | 0.282411 | − | 0.618394i | ||||
\(135\) | −1.13866 | − | 17.8172i | −0.0980001 | − | 1.53346i | ||||
\(136\) | 4.41003 | − | 0.210076i | 0.378157 | − | 0.0180138i | ||||
\(137\) | 2.98069 | − | 5.16270i | 0.254657 | − | 0.441079i | −0.710145 | − | 0.704055i | \(-0.751371\pi\) |
0.964802 | + | 0.262976i | \(0.0847041\pi\) | |||||||
\(138\) | 6.46609 | − | 5.21437i | 0.550430 | − | 0.443877i | ||||
\(139\) | 17.7307 | 1.50389 | 0.751947 | − | 0.659223i | \(-0.229115\pi\) | ||||
0.751947 | + | 0.659223i | \(0.229115\pi\) | |||||||
\(140\) | 8.29400 | − | 3.72128i | 0.700971 | − | 0.314505i | ||||
\(141\) | 16.7916 | + | 16.3494i | 1.41411 | + | 1.37687i | ||||
\(142\) | 4.89002 | − | 0.466940i | 0.410361 | − | 0.0391847i | ||||
\(143\) | −0.330246 | + | 1.36129i | −0.0276166 | + | 0.113837i | ||||
\(144\) | −0.646138 | − | 2.92959i | −0.0538449 | − | 0.244133i | ||||
\(145\) | 7.62309 | + | 2.63838i | 0.633063 | + | 0.219105i | ||||
\(146\) | 8.36170 | − | 1.20223i | 0.692019 | − | 0.0994973i | ||||
\(147\) | −11.9566 | − | 2.01012i | −0.986161 | − | 0.165792i | ||||
\(148\) | −5.05230 | − | 4.37785i | −0.415297 | − | 0.359857i | ||||
\(149\) | 0.523940 | − | 10.9989i | 0.0429229 | − | 0.901062i | −0.870031 | − | 0.492998i | \(-0.835901\pi\) |
0.912953 | − | 0.408064i | \(-0.133796\pi\) | |||||||
\(150\) | 1.79947 | − | 11.6493i | 0.146926 | − | 0.951159i | ||||
\(151\) | 5.28213 | + | 15.2617i | 0.429853 | + | 1.24198i | 0.927245 | + | 0.374454i | \(0.122170\pi\) |
−0.497392 | + | 0.867526i | \(0.665709\pi\) | |||||||
\(152\) | −1.76204 | − | 7.26321i | −0.142920 | − | 0.589124i | ||||
\(153\) | −11.8971 | + | 5.82167i | −0.961823 | + | 0.470654i | ||||
\(154\) | 10.8711 | − | 6.88469i | 0.876017 | − | 0.554784i | ||||
\(155\) | −2.48761 | − | 5.44710i | −0.199809 | − | 0.437522i | ||||
\(156\) | −0.0892807 | − | 0.490802i | −0.00714817 | − | 0.0392956i | ||||
\(157\) | −8.19202 | + | 5.83351i | −0.653795 | + | 0.465565i | −0.858196 | − | 0.513322i | \(-0.828415\pi\) |
0.204401 | + | 0.978887i | \(0.434475\pi\) | |||||||
\(158\) | 4.96109 | + | 3.90144i | 0.394683 | + | 0.310382i | ||||
\(159\) | −0.746373 | − | 1.48571i | −0.0591912 | − | 0.117825i | ||||
\(160\) | − | 3.43591i | − | 0.271633i | ||||||
\(161\) | −12.5868 | − | 1.60394i | −0.991978 | − | 0.126408i | ||||
\(162\) | 5.26267 | + | 7.30098i | 0.413474 | + | 0.573619i | ||||
\(163\) | −9.27690 | − | 4.78258i | −0.726623 | − | 0.374600i | 0.0548872 | − | 0.998493i | \(-0.482520\pi\) |
−0.781510 | + | 0.623892i | \(0.785550\pi\) | |||||||
\(164\) | 2.56296 | − | 3.25907i | 0.200134 | − | 0.254490i | ||||
\(165\) | 0.302734 | − | 28.9423i | 0.0235678 | − | 2.25315i | ||||
\(166\) | 6.83493 | − | 7.16827i | 0.530494 | − | 0.556366i | ||||
\(167\) | 10.6762 | − | 4.87564i | 0.826147 | − | 0.377288i | 0.0429611 | − | 0.999077i | \(-0.486321\pi\) |
0.783185 | + | 0.621788i | \(0.213594\pi\) | |||||||
\(168\) | −2.54312 | + | 3.81215i | −0.196206 | + | 0.294114i | ||||
\(169\) | 1.83829 | + | 12.7856i | 0.141407 | + | 0.983505i | ||||
\(170\) | −14.7420 | + | 3.57638i | −1.13066 | + | 0.274296i | ||||
\(171\) | 13.4885 | + | 17.9107i | 1.03149 | + | 1.36966i | ||||
\(172\) | −1.07530 | − | 2.08578i | −0.0819906 | − | 0.159040i | ||||
\(173\) | 23.2500 | + | 1.10753i | 1.76766 | + | 0.0842042i | 0.906000 | − | 0.423277i | \(-0.139120\pi\) |
0.861663 | + | 0.507482i | \(0.169423\pi\) | |||||||
\(174\) | −3.96165 | + | 0.917321i | −0.300332 | + | 0.0695419i | ||||
\(175\) | −14.7361 | + | 10.3465i | −1.11394 | + | 0.782122i | ||||
\(176\) | −0.692156 | − | 4.81405i | −0.0521733 | − | 0.362873i | ||||
\(177\) | 3.89138 | + | 5.58745i | 0.292494 | + | 0.419979i | ||||
\(178\) | 1.69991 | − | 17.8023i | 0.127414 | − | 1.33434i | ||||
\(179\) | −22.0098 | − | 5.33953i | −1.64509 | − | 0.399095i | −0.696996 | − | 0.717075i | \(-0.745480\pi\) |
−0.948097 | + | 0.317980i | \(0.896996\pi\) | |||||||
\(180\) | 4.08492 | + | 9.46376i | 0.304472 | + | 0.705387i | ||||
\(181\) | 9.73083 | + | 1.39908i | 0.723287 | + | 0.103993i | 0.494120 | − | 0.869394i | \(-0.335491\pi\) |
0.229168 | + | 0.973387i | \(0.426400\pi\) | |||||||
\(182\) | −0.446131 | + | 0.617767i | −0.0330695 | + | 0.0457919i | ||||
\(183\) | −13.5262 | + | 18.5804i | −0.999883 | + | 1.37351i | ||||
\(184\) | −2.50057 | + | 4.09233i | −0.184344 | + | 0.301691i | ||||
\(185\) | 19.8923 | + | 11.4848i | 1.46251 | + | 0.844379i | ||||
\(186\) | 2.52227 | + | 1.65850i | 0.184942 | + | 0.121607i | ||||
\(187\) | −19.9346 | + | 7.98062i | −1.45776 | + | 0.583601i | ||||
\(188\) | −12.3082 | − | 5.62097i | −0.897668 | − | 0.409951i | ||||
\(189\) | 2.47246 | − | 13.5236i | 0.179845 | − | 0.983695i | ||||
\(190\) | 10.6677 | + | 23.3590i | 0.773916 | + | 1.69464i | ||||
\(191\) | −8.63522 | + | 24.9498i | −0.624822 | + | 1.80531i | −0.0326897 | + | 0.999466i | \(0.510407\pi\) |
−0.592133 | + | 0.805840i | \(0.701714\pi\) | |||||||
\(192\) | 0.921126 | + | 1.46681i | 0.0664765 | + | 0.105858i | ||||
\(193\) | 0.0715228 | − | 0.0681969i | 0.00514833 | − | 0.00490892i | −0.687500 | − | 0.726184i | \(-0.741292\pi\) |
0.692649 | + | 0.721275i | \(0.256444\pi\) | |||||||
\(194\) | −1.62704 | − | 0.313587i | −0.116815 | − | 0.0225142i | ||||
\(195\) | 0.620361 | + | 1.59782i | 0.0444250 | + | 0.114423i | ||||
\(196\) | 6.89051 | − | 1.23322i | 0.492180 | − | 0.0880868i | ||||
\(197\) | 16.2643 | + | 14.0931i | 1.15879 | + | 1.00409i | 0.999859 | + | 0.0168028i | \(0.00534874\pi\) |
0.158927 | + | 0.987290i | \(0.449197\pi\) | |||||||
\(198\) | 7.62984 | + | 12.4368i | 0.542229 | + | 0.883843i | ||||
\(199\) | −4.86773 | + | 12.1590i | −0.345064 | + | 0.861929i | 0.649743 | + | 0.760154i | \(0.274876\pi\) |
−0.994807 | + | 0.101775i | \(0.967548\pi\) | |||||||
\(200\) | 1.28795 | + | 6.68250i | 0.0910715 | + | 0.472524i | ||||
\(201\) | −4.32314 | − | 12.9268i | −0.304931 | − | 0.911784i | ||||
\(202\) | 8.48537 | − | 2.49153i | 0.597028 | − | 0.175303i | ||||
\(203\) | 5.20311 | + | 3.39294i | 0.365187 | + | 0.238138i | ||||
\(204\) | 5.33467 | − | 5.47894i | 0.373502 | − | 0.383603i | ||||
\(205\) | −6.52775 | + | 12.6621i | −0.455918 | + | 0.884357i | ||||
\(206\) | −5.27519 | + | 9.13690i | −0.367540 | + | 0.636598i | ||||
\(207\) | 2.02214 | − | 14.2447i | 0.140549 | − | 0.990074i | ||||
\(208\) | 0.144008 | + | 0.249428i | 0.00998513 | + | 0.0172947i | ||||
\(209\) | 19.6521 | + | 30.5793i | 1.35937 | + | 2.11521i | ||||
\(210\) | 6.10119 | − | 14.5152i | 0.421022 | − | 1.00164i | ||||
\(211\) | −0.542658 | + | 1.18826i | −0.0373581 | + | 0.0818029i | −0.927391 | − | 0.374093i | \(-0.877954\pi\) |
0.890033 | + | 0.455896i | \(0.150681\pi\) | |||||||
\(212\) | 0.694736 | + | 0.662430i | 0.0477147 | + | 0.0454959i | ||||
\(213\) | 5.63869 | − | 6.37150i | 0.386357 | − | 0.436568i | ||||
\(214\) | −1.30004 | − | 6.74526i | −0.0888690 | − | 0.461096i | ||||
\(215\) | 4.98414 | + | 6.33785i | 0.339915 | + | 0.432237i | ||||
\(216\) | −4.28099 | − | 2.94501i | −0.291285 | − | 0.200383i | ||||
\(217\) | −0.842528 | − | 4.53350i | −0.0571945 | − | 0.307754i | ||||
\(218\) | −12.4272 | − | 7.98651i | −0.841679 | − | 0.540914i | ||||
\(219\) | 9.16459 | − | 11.4062i | 0.619286 | − | 0.770757i | ||||
\(220\) | 5.46555 | + | 15.7917i | 0.368487 | + | 1.06467i | ||||
\(221\) | 0.920297 | − | 0.877502i | 0.0619059 | − | 0.0590272i | ||||
\(222\) | −11.5710 | + | 0.429950i | −0.776598 | + | 0.0288564i | ||||
\(223\) | −0.931897 | − | 1.07547i | −0.0624044 | − | 0.0720185i | 0.723689 | − | 0.690126i | \(-0.242445\pi\) |
−0.786093 | + | 0.618108i | \(0.787900\pi\) | |||||||
\(224\) | 0.640846 | − | 2.56697i | 0.0428183 | − | 0.171513i | ||||
\(225\) | −11.4922 | − | 16.8748i | −0.766149 | − | 1.12499i | ||||
\(226\) | 0.799816 | + | 8.37605i | 0.0532029 | + | 0.557166i | ||||
\(227\) | 6.50102 | + | 5.11246i | 0.431488 | + | 0.339326i | 0.810164 | − | 0.586204i | \(-0.199378\pi\) |
−0.378676 | + | 0.925529i | \(0.623621\pi\) | |||||||
\(228\) | −10.8164 | − | 7.11220i | −0.716331 | − | 0.471017i | ||||
\(229\) | 2.12381 | − | 1.22618i | 0.140346 | − | 0.0810286i | −0.428183 | − | 0.903692i | \(-0.640846\pi\) |
0.568529 | + | 0.822663i | \(0.307513\pi\) | |||||||
\(230\) | 5.77542 | − | 15.4328i | 0.380820 | − | 1.01761i | ||||
\(231\) | 5.62432 | − | 21.5663i | 0.370053 | − | 1.41896i | ||||
\(232\) | 1.97508 | − | 1.26930i | 0.129670 | − | 0.0833339i | ||||
\(233\) | −4.25010 | − | 10.6162i | −0.278433 | − | 0.695492i | −0.999995 | − | 0.00314235i | \(-0.999000\pi\) |
0.721562 | − | 0.692350i | \(-0.243424\pi\) | |||||||
\(234\) | −0.693193 | − | 0.515808i | −0.0453154 | − | 0.0337194i | ||||
\(235\) | 45.1807 | + | 10.9607i | 2.94726 | + | 0.714998i | ||||
\(236\) | −3.20224 | − | 2.28031i | −0.208448 | − | 0.148435i | ||||
\(237\) | 10.8924 | − | 0.925242i | 0.707539 | − | 0.0601009i | ||||
\(238\) | −11.6808 | − | 0.0776884i | −0.757155 | − | 0.00503579i | ||||
\(239\) | −0.228418 | + | 0.777920i | −0.0147751 | + | 0.0503195i | −0.966551 | − | 0.256476i | \(-0.917439\pi\) |
0.951775 | + | 0.306795i | \(0.0992567\pi\) | |||||||
\(240\) | −4.06150 | − | 4.34978i | −0.262169 | − | 0.280777i | ||||
\(241\) | −0.587564 | − | 1.13971i | −0.0378483 | − | 0.0734155i | 0.869153 | − | 0.494543i | \(-0.164665\pi\) |
−0.907001 | + | 0.421128i | \(0.861634\pi\) | |||||||
\(242\) | 5.79849 | + | 11.2475i | 0.372741 | + | 0.723017i | ||||
\(243\) | 15.2927 | + | 3.02201i | 0.981029 | + | 0.193862i | ||||
\(244\) | 3.73828 | − | 12.7314i | 0.239319 | − | 0.815044i | ||||
\(245\) | −22.4454 | + | 8.64120i | −1.43399 | + | 0.552066i | ||||
\(246\) | −0.607816 | − | 7.15552i | −0.0387529 | − | 0.456219i | ||||
\(247\) | −1.75345 | − | 1.24863i | −0.111569 | − | 0.0794482i | ||||
\(248\) | −1.69371 | − | 0.410890i | −0.107551 | − | 0.0260916i | ||||
\(249\) | 0.179432 | − | 17.1543i | 0.0113711 | − | 1.08711i | ||||
\(250\) | −2.30559 | − | 5.75910i | −0.145819 | − | 0.364237i | ||||
\(251\) | 26.0128 | − | 16.7174i | 1.64191 | − | 1.05519i | 0.702916 | − | 0.711273i | \(-0.251881\pi\) |
0.938998 | − | 0.343922i | \(-0.111755\pi\) | |||||||
\(252\) | 1.28672 | + | 7.83226i | 0.0810555 | + | 0.493386i | ||||
\(253\) | 4.98304 | − | 22.7863i | 0.313281 | − | 1.43256i | ||||
\(254\) | −2.73256 | + | 1.57764i | −0.171456 | + | 0.0989901i | ||||
\(255\) | −14.4355 | + | 21.9538i | −0.903989 | + | 1.37480i | ||||
\(256\) | −0.786053 | − | 0.618159i | −0.0491283 | − | 0.0386349i | ||||
\(257\) | 1.16198 | + | 12.1688i | 0.0724821 | + | 0.759067i | 0.956523 | + | 0.291657i | \(0.0942067\pi\) |
−0.884041 | + | 0.467410i | \(0.845187\pi\) | |||||||
\(258\) | −3.82685 | − | 1.36947i | −0.238250 | − | 0.0852597i | ||||
\(259\) | 12.7194 | + | 12.2905i | 0.790346 | + | 0.763693i | ||||
\(260\) | −0.648046 | − | 0.747885i | −0.0401901 | − | 0.0463819i | ||||
\(261\) | −3.93102 | + | 5.84428i | −0.243324 | + | 0.361752i | ||||
\(262\) | 2.10809 | − | 2.01006i | 0.130238 | − | 0.124182i | ||||
\(263\) | −1.31686 | − | 3.80483i | −0.0812013 | − | 0.234616i | 0.897091 | − | 0.441846i | \(-0.145676\pi\) |
−0.978292 | + | 0.207230i | \(0.933555\pi\) | |||||||
\(264\) | −6.56683 | − | 5.27630i | −0.404160 | − | 0.324734i | ||||
\(265\) | −2.77466 | − | 1.78317i | −0.170446 | − | 0.109539i | ||||
\(266\) | 3.61304 | + | 19.4412i | 0.221530 | + | 1.19201i | ||||
\(267\) | −18.8916 | − | 24.5467i | −1.15615 | − | 1.50223i | ||||
\(268\) | 4.86465 | + | 6.18591i | 0.297156 | + | 0.377865i | ||||
\(269\) | −2.61590 | − | 13.5726i | −0.159494 | − | 0.827535i | −0.970242 | − | 0.242139i | \(-0.922151\pi\) |
0.810747 | − | 0.585396i | \(-0.199061\pi\) | |||||||
\(270\) | 16.3583 | + | 7.15222i | 0.995534 | + | 0.435270i | ||||
\(271\) | −12.7219 | − | 12.1303i | −0.772798 | − | 0.736861i | 0.197097 | − | 0.980384i | \(-0.436848\pi\) |
−0.969895 | + | 0.243523i | \(0.921697\pi\) | |||||||
\(272\) | −1.83407 | + | 4.01606i | −0.111207 | + | 0.243509i | ||||
\(273\) | 0.165455 | + | 1.30944i | 0.0100138 | + | 0.0792509i | ||||
\(274\) | 3.22296 | + | 5.01502i | 0.194706 | + | 0.302969i | ||||
\(275\) | −16.5494 | − | 28.6644i | −0.997968 | − | 1.72853i | ||||
\(276\) | 1.67178 | + | 8.13665i | 0.100630 | + | 0.489769i | ||||
\(277\) | −7.78696 | + | 13.4874i | −0.467873 | + | 0.810380i | −0.999326 | − | 0.0367078i | \(-0.988313\pi\) |
0.531453 | + | 0.847088i | \(0.321646\pi\) | |||||||
\(278\) | −8.12466 | + | 15.7596i | −0.487285 | + | 0.945200i | ||||
\(279\) | 5.15361 | − | 0.881896i | 0.308539 | − | 0.0527978i | ||||
\(280\) | −0.492928 | + | 9.07719i | −0.0294581 | + | 0.542466i | ||||
\(281\) | 4.84341 | − | 1.42215i | 0.288934 | − | 0.0848386i | −0.134054 | − | 0.990974i | \(-0.542800\pi\) |
0.422988 | + | 0.906135i | \(0.360981\pi\) | |||||||
\(282\) | −22.2263 | + | 7.43320i | −1.32356 | + | 0.442641i | ||||
\(283\) | 3.50790 | + | 18.2007i | 0.208523 | + | 1.08192i | 0.923741 | + | 0.383019i | \(0.125115\pi\) |
−0.715218 | + | 0.698902i | \(0.753672\pi\) | |||||||
\(284\) | −1.82570 | + | 4.56038i | −0.108336 | + | 0.270609i | ||||
\(285\) | 41.1171 | + | 16.9619i | 2.43557 | + | 1.00474i | ||||
\(286\) | −1.05864 | − | 0.917315i | −0.0625985 | − | 0.0542419i | ||||
\(287\) | −7.23853 | + | 8.24231i | −0.427277 | + | 0.486528i | ||||
\(288\) | 2.90000 | + | 0.768106i | 0.170884 | + | 0.0452611i | ||||
\(289\) | 2.44748 | + | 0.471712i | 0.143969 | + | 0.0277478i | ||||
\(290\) | −5.83818 | + | 5.56670i | −0.342830 | + | 0.326888i | ||||
\(291\) | −2.43048 | + | 1.52629i | −0.142477 | + | 0.0894729i | ||||
\(292\) | −2.76297 | + | 7.98307i | −0.161690 | + | 0.467174i | ||||
\(293\) | −1.14880 | − | 2.51553i | −0.0671138 | − | 0.146959i | 0.873102 | − | 0.487537i | \(-0.162104\pi\) |
−0.940216 | + | 0.340578i | \(0.889377\pi\) | |||||||
\(294\) | 7.26548 | − | 9.70633i | 0.423731 | − | 0.566085i | ||||
\(295\) | 12.2866 | + | 5.61108i | 0.715351 | + | 0.326690i | ||||
\(296\) | 6.20628 | − | 2.48462i | 0.360733 | − | 0.144416i | ||||
\(297\) | 24.3604 | + | 6.72563i | 1.41353 | + | 0.390261i | ||||
\(298\) | 9.53609 | + | 5.50567i | 0.552411 | + | 0.318935i | ||||
\(299\) | 0.227562 | + | 1.36240i | 0.0131603 | + | 0.0787895i | ||||
\(300\) | 9.52972 | + | 6.93744i | 0.550199 | + | 0.400533i | ||||
\(301\) | 2.54155 | + | 5.66461i | 0.146492 | + | 0.326503i | ||||
\(302\) | −15.9856 | − | 2.29838i | −0.919865 | − | 0.132257i | ||||
\(303\) | 7.79711 | − | 13.1846i | 0.447932 | − | 0.757433i | ||||
\(304\) | 7.26321 | + | 1.76204i | 0.416574 | + | 0.101060i | ||||
\(305\) | −4.33367 | + | 45.3843i | −0.248145 | + | 2.59869i | ||||
\(306\) | 0.277055 | − | 13.2422i | 0.0158382 | − | 0.757006i | ||||
\(307\) | −0.0246040 | − | 0.171125i | −0.00140423 | − | 0.00976661i | 0.989107 | − | 0.147196i | \(-0.0470249\pi\) |
−0.990512 | + | 0.137430i | \(0.956116\pi\) | |||||||
\(308\) | 1.13794 | + | 12.8174i | 0.0648401 | + | 0.730336i | ||||
\(309\) | 4.12223 | + | 17.8028i | 0.234505 | + | 1.01276i | ||||
\(310\) | 5.98146 | + | 0.284932i | 0.339724 | + | 0.0161831i | ||||
\(311\) | −6.03548 | − | 11.7072i | −0.342241 | − | 0.663854i | 0.653412 | − | 0.757003i | \(-0.273337\pi\) |
−0.995652 | + | 0.0931487i | \(0.970307\pi\) | |||||||
\(312\) | 0.477153 | + | 0.145543i | 0.0270135 | + | 0.00823974i | ||||
\(313\) | 23.6929 | − | 5.74784i | 1.33920 | − | 0.324887i | 0.498737 | − | 0.866753i | \(-0.333797\pi\) |
0.840465 | + | 0.541866i | \(0.182282\pi\) | |||||||
\(314\) | −1.43123 | − | 9.95443i | −0.0807690 | − | 0.561761i | ||||
\(315\) | −9.43408 | − | 25.5880i | −0.531550 | − | 1.44172i | ||||
\(316\) | −5.74104 | + | 2.62185i | −0.322959 | + | 0.147490i | ||||
\(317\) | 15.4514 | − | 16.2050i | 0.867839 | − | 0.910163i | −0.128834 | − | 0.991666i | \(-0.541123\pi\) |
0.996673 | + | 0.0815028i | \(0.0259720\pi\) | |||||||
\(318\) | 1.66256 | + | 0.0173903i | 0.0932319 | + | 0.000975198i | ||||
\(319\) | −7.05848 | + | 8.97559i | −0.395199 | + | 0.502537i | ||||
\(320\) | 3.05396 | + | 1.57443i | 0.170721 | + | 0.0880130i | ||||
\(321\) | −9.61923 | − | 7.00260i | −0.536893 | − | 0.390847i | ||||
\(322\) | 7.19324 | − | 10.4526i | 0.400864 | − | 0.582502i | ||||
\(323\) | − | 32.9975i | − | 1.83603i | ||||||
\(324\) | −8.90087 | + | 1.33214i | −0.494493 | + | 0.0740078i | ||||
\(325\) | 1.54073 | + | 1.21164i | 0.0854642 | + | 0.0672098i | ||||
\(326\) | 8.50185 | − | 6.05414i | 0.470874 | − | 0.335308i | ||||
\(327\) | −25.1733 | + | 4.57921i | −1.39208 | + | 0.253231i | ||||
\(328\) | 1.72236 | + | 3.77144i | 0.0951014 | + | 0.208243i | ||||
\(329\) | 31.7101 | + | 16.6156i | 1.74824 | + | 0.916047i | ||||
\(330\) | 25.5862 | + | 13.5312i | 1.40847 | + | 0.744868i | ||||
\(331\) | −6.48469 | − | 26.7302i | −0.356431 | − | 1.46923i | −0.814423 | − | 0.580271i | \(-0.802946\pi\) |
0.457992 | − | 0.888956i | \(-0.348569\pi\) | |||||||
\(332\) | 3.23947 | + | 9.35982i | 0.177789 | + | 0.513687i | ||||
\(333\) | −14.1404 | + | 14.2222i | −0.774892 | + | 0.779369i | ||||
\(334\) | −0.558459 | + | 11.7235i | −0.0305575 | + | 0.641482i | ||||
\(335\) | −20.4349 | − | 17.7069i | −1.11648 | − | 0.967431i | ||||
\(336\) | −2.22305 | − | 4.00725i | −0.121277 | − | 0.218613i | ||||
\(337\) | 4.11050 | − | 0.591001i | 0.223913 | − | 0.0321939i | −0.0294449 | − | 0.999566i | \(-0.509374\pi\) |
0.253358 | + | 0.967373i | \(0.418465\pi\) | |||||||
\(338\) | −12.2066 | − | 4.22475i | −0.663953 | − | 0.229796i | ||||
\(339\) | 10.9137 | + | 9.65844i | 0.592749 | + | 0.524575i | ||||
\(340\) | 3.57638 | − | 14.7420i | 0.193957 | − | 0.799500i | ||||
\(341\) | 8.43803 | − | 0.805734i | 0.456945 | − | 0.0436329i | ||||
\(342\) | −22.1004 | + | 3.78187i | −1.19505 | + | 0.204500i | ||||
\(343\) | −18.3807 | + | 2.26944i | −0.992464 | + | 0.122538i | ||||
\(344\) | 2.34665 | 0.126523 | ||||||||
\(345\) | −10.9312 | − | 26.3645i | −0.588514 | − | 1.41942i | ||||
\(346\) | −11.6382 | + | 20.1579i | −0.625672 | + | 1.08370i | ||||
\(347\) | 6.83696 | − | 0.325684i | 0.367027 | − | 0.0174837i | 0.136742 | − | 0.990607i | \(-0.456337\pi\) |
0.230286 | + | 0.973123i | \(0.426034\pi\) | |||||||
\(348\) | 0.999988 | − | 3.94160i | 0.0536050 | − | 0.211292i | ||||
\(349\) | −2.68330 | + | 5.87560i | −0.143634 | + | 0.314514i | −0.967752 | − | 0.251903i | \(-0.918944\pi\) |
0.824119 | + | 0.566417i | \(0.191671\pi\) | |||||||
\(350\) | −2.44388 | − | 17.8390i | −0.130631 | − | 0.953534i | ||||
\(351\) | −1.48729 | + | 0.166405i | −0.0793857 | + | 0.00888202i | ||||
\(352\) | 4.59607 | + | 1.59071i | 0.244971 | + | 0.0847853i | ||||
\(353\) | −5.34308 | + | 13.3464i | −0.284383 | + | 0.710355i | 0.715547 | + | 0.698564i | \(0.246177\pi\) |
−0.999930 | + | 0.0117907i | \(0.996247\pi\) | |||||||
\(354\) | −6.74946 | + | 0.898475i | −0.358730 | + | 0.0477534i | ||||
\(355\) | 3.19420 | − | 16.5731i | 0.169530 | − | 0.879607i | ||||
\(356\) | 15.0443 | + | 9.66841i | 0.797348 | + | 0.512425i | ||||
\(357\) | −14.8795 | + | 13.7093i | −0.787506 | + | 0.725571i | ||||
\(358\) | 14.8315 | − | 17.1164i | 0.783867 | − | 0.904631i | ||||
\(359\) | −0.891019 | − | 3.67283i | −0.0470262 | − | 0.193845i | 0.943453 | − | 0.331506i | \(-0.107557\pi\) |
−0.990479 | + | 0.137661i | \(0.956041\pi\) | |||||||
\(360\) | −10.2835 | − | 0.705723i | −0.541990 | − | 0.0371948i | ||||
\(361\) | −36.1929 | + | 6.97561i | −1.90489 | + | 0.367138i | ||||
\(362\) | −5.70248 | + | 8.00801i | −0.299716 | + | 0.420892i | ||||
\(363\) | 20.6361 | + | 7.38483i | 1.08312 | + | 0.387603i | ||||
\(364\) | −0.344664 | − | 0.679614i | −0.0180653 | − | 0.0356215i | ||||
\(365\) | 4.13076 | − | 28.7301i | 0.216214 | − | 1.50380i | ||||
\(366\) | −10.3169 | − | 20.5366i | −0.539273 | − | 1.07346i | ||||
\(367\) | −15.6820 | − | 9.05402i | −0.818594 | − | 0.472616i | 0.0313371 | − | 0.999509i | \(-0.490023\pi\) |
−0.849932 | + | 0.526893i | \(0.823357\pi\) | |||||||
\(368\) | −2.49158 | − | 4.09781i | −0.129883 | − | 0.213613i | ||||
\(369\) | −9.22784 | − | 8.34024i | −0.480382 | − | 0.434175i | ||||
\(370\) | −19.3233 | + | 12.4183i | −1.00457 | + | 0.645597i | ||||
\(371\) | −1.74036 | − | 1.84972i | −0.0903551 | − | 0.0960325i | ||||
\(372\) | −2.62991 | + | 1.48192i | −0.136354 | + | 0.0768339i | ||||
\(373\) | 15.8817 | − | 16.6563i | 0.822326 | − | 0.862430i | −0.170081 | − | 0.985430i | \(-0.554403\pi\) |
0.992407 | + | 0.123000i | \(0.0392515\pi\) | |||||||
\(374\) | 2.04112 | − | 21.3755i | 0.105544 | − | 1.10530i | ||||
\(375\) | −9.72652 | − | 4.56550i | −0.502275 | − | 0.235761i | ||||
\(376\) | 10.6361 | − | 8.36429i | 0.548513 | − | 0.431355i | ||||
\(377\) | 0.190506 | − | 0.648805i | 0.00981157 | − | 0.0334151i | ||||
\(378\) | 10.8873 | + | 8.39447i | 0.559981 | + | 0.431765i | ||||
\(379\) | 7.53014 | − | 11.7171i | 0.386797 | − | 0.601869i | −0.592188 | − | 0.805800i | \(-0.701736\pi\) |
0.978985 | + | 0.203931i | \(0.0653720\pi\) | |||||||
\(380\) | −25.6505 | − | 1.22189i | −1.31584 | − | 0.0626814i | ||||
\(381\) | −1.59446 | + | 5.22735i | −0.0816868 | + | 0.267805i | ||||
\(382\) | −18.2194 | − | 19.1080i | −0.932186 | − | 0.977648i | ||||
\(383\) | 3.00483 | − | 2.36303i | 0.153540 | − | 0.120745i | −0.538434 | − | 0.842668i | \(-0.680984\pi\) |
0.691974 | + | 0.721923i | \(0.256741\pi\) | |||||||
\(384\) | −1.72584 | + | 0.146599i | −0.0880712 | + | 0.00748109i | ||||
\(385\) | −12.1737 | − | 42.5035i | −0.620428 | − | 2.16618i | ||||
\(386\) | 0.0278421 | + | 0.0948217i | 0.00141713 | + | 0.00482629i | ||||
\(387\) | −6.46353 | + | 2.78991i | −0.328560 | + | 0.141819i | ||||
\(388\) | 1.02428 | − | 1.30248i | 0.0520000 | − | 0.0661234i | ||||
\(389\) | −0.874344 | − | 18.3547i | −0.0443310 | − | 0.930622i | −0.906033 | − | 0.423207i | \(-0.860904\pi\) |
0.861702 | − | 0.507415i | \(-0.169399\pi\) | |||||||
\(390\) | −1.70447 | − | 0.180766i | −0.0863091 | − | 0.00915345i | ||||
\(391\) | −14.9885 | + | 14.9557i | −0.758002 | + | 0.756341i | ||||
\(392\) | −2.06129 | + | 6.68962i | −0.104111 | + | 0.337877i | ||||
\(393\) | 0.292751 | − | 5.03661i | 0.0147674 | − | 0.254063i | ||||
\(394\) | −19.9792 | + | 7.99847i | −1.00654 | + | 0.402957i | ||||
\(395\) | 17.6644 | − | 12.5787i | 0.888791 | − | 0.632906i | ||||
\(396\) | −14.5504 | + | 1.08281i | −0.731187 | + | 0.0544132i | ||||
\(397\) | −7.81408 | + | 10.9733i | −0.392177 | + | 0.550736i | −0.962709 | − | 0.270540i | \(-0.912798\pi\) |
0.570531 | + | 0.821276i | \(0.306737\pi\) | |||||||
\(398\) | −8.57683 | − | 9.89819i | −0.429918 | − | 0.496151i | ||||
\(399\) | 27.5550 | + | 20.3412i | 1.37947 | + | 1.01833i | ||||
\(400\) | −6.52981 | − | 1.91733i | −0.326490 | − | 0.0958663i | ||||
\(401\) | 18.3093 | + | 3.52883i | 0.914323 | + | 0.176221i | 0.624650 | − | 0.780904i | \(-0.285241\pi\) |
0.289673 | + | 0.957126i | \(0.406454\pi\) | |||||||
\(402\) | 13.4708 | + | 2.08083i | 0.671860 | + | 0.103783i | ||||
\(403\) | −0.446164 | + | 0.230013i | −0.0222250 | + | 0.0114578i | ||||
\(404\) | −1.67366 | + | 8.68378i | −0.0832678 | + | 0.432034i | ||||
\(405\) | 29.1637 | − | 10.2822i | 1.44916 | − | 0.510926i | ||||
\(406\) | −5.39997 | + | 3.06997i | −0.267996 | + | 0.152360i | ||||
\(407\) | −24.5722 | + | 21.2919i | −1.21800 | + | 1.05540i | ||||
\(408\) | 2.42539 | + | 7.25224i | 0.120075 | + | 0.359040i | ||||
\(409\) | 5.78653 | − | 23.8524i | 0.286126 | − | 1.17943i | −0.629373 | − | 0.777104i | \(-0.716688\pi\) |
0.915498 | − | 0.402322i | \(-0.131797\pi\) | |||||||
\(410\) | −8.26331 | − | 11.6042i | −0.408096 | − | 0.573090i | ||||
\(411\) | 10.0083 | + | 2.53912i | 0.493674 | + | 0.125246i | ||||
\(412\) | −5.70397 | − | 8.87554i | −0.281014 | − | 0.437267i | ||||
\(413\) | 8.13273 | + | 6.48365i | 0.400185 | + | 0.319040i | ||||
\(414\) | 11.7346 | + | 8.32464i | 0.576723 | + | 0.409134i | ||||
\(415\) | −17.0156 | − | 29.4719i | −0.835263 | − | 1.44672i | ||||
\(416\) | −0.287689 | + | 0.0137043i | −0.0141051 | + | 0.000671909i | ||||
\(417\) | 8.34345 | + | 29.5553i | 0.408580 | + | 1.44733i | ||||
\(418\) | −36.1851 | + | 3.45526i | −1.76987 | + | 0.169002i | ||||
\(419\) | 5.72285 | − | 1.68038i | 0.279580 | − | 0.0820920i | −0.138937 | − | 0.990301i | \(-0.544368\pi\) |
0.418516 | + | 0.908209i | \(0.362550\pi\) | |||||||
\(420\) | 10.1059 | + | 12.0742i | 0.493117 | + | 0.589160i | ||||
\(421\) | 29.6403 | − | 25.6834i | 1.44458 | − | 1.25173i | 0.529590 | − | 0.848254i | \(-0.322346\pi\) |
0.914988 | − | 0.403481i | \(-0.132200\pi\) | |||||||
\(422\) | −0.807504 | − | 1.02682i | −0.0393087 | − | 0.0499850i | ||||
\(423\) | −19.3514 | + | 35.6834i | −0.940897 | + | 1.73499i | ||||
\(424\) | −0.907138 | + | 0.313963i | −0.0440545 | + | 0.0152474i | ||||
\(425\) | −1.42967 | + | 30.0124i | −0.0693490 | + | 1.45581i | ||||
\(426\) | 3.07942 | + | 7.93146i | 0.149198 | + | 0.384280i | ||||
\(427\) | −11.7025 | + | 33.0983i | −0.566323 | + | 1.60174i | ||||
\(428\) | 6.59114 | + | 1.93533i | 0.318595 | + | 0.0935478i | ||||
\(429\) | −2.42455 | + | 0.0900899i | −0.117058 | + | 0.00434958i | ||||
\(430\) | −7.91717 | + | 1.52591i | −0.381800 | + | 0.0735858i | ||||
\(431\) | 7.53871 | + | 0.719859i | 0.363127 | + | 0.0346744i | 0.275025 | − | 0.961437i | \(-0.411314\pi\) |
0.0881017 | + | 0.996111i | \(0.471920\pi\) | |||||||
\(432\) | 4.57930 | − | 2.45562i | 0.220321 | − | 0.118146i | ||||
\(433\) | −35.4753 | − | 16.2010i | −1.70484 | − | 0.778572i | −0.997421 | − | 0.0717735i | \(-0.977134\pi\) |
−0.707415 | − | 0.706799i | \(-0.750139\pi\) | |||||||
\(434\) | 4.41560 | + | 1.32850i | 0.211956 | + | 0.0637701i | ||||
\(435\) | −0.810752 | + | 13.9485i | −0.0388726 | + | 0.668779i | ||||
\(436\) | 12.7932 | − | 7.38615i | 0.612682 | − | 0.353732i | ||||
\(437\) | 29.6617 | + | 20.1231i | 1.41891 | + | 0.962619i | ||||
\(438\) | 5.93874 | + | 13.3724i | 0.283764 | + | 0.638959i | ||||
\(439\) | 5.33151 | + | 2.74858i | 0.254459 | + | 0.131183i | 0.580737 | − | 0.814091i | \(-0.302764\pi\) |
−0.326278 | + | 0.945274i | \(0.605795\pi\) | |||||||
\(440\) | −16.5407 | − | 2.37819i | −0.788545 | − | 0.113376i | ||||
\(441\) | −2.27568 | − | 20.8763i | −0.108366 | − | 0.994111i | ||||
\(442\) | 0.358250 | + | 1.22009i | 0.0170402 | + | 0.0580336i | ||||
\(443\) | −20.6613 | − | 14.7128i | −0.981646 | − | 0.699027i | −0.0278905 | − | 0.999611i | \(-0.508879\pi\) |
−0.953755 | + | 0.300584i | \(0.902818\pi\) | |||||||
\(444\) | 4.92000 | − | 10.4818i | 0.233493 | − | 0.497443i | ||||
\(445\) | −57.0438 | − | 22.8369i | −2.70413 | − | 1.08257i | ||||
\(446\) | 1.38293 | − | 0.335496i | 0.0654837 | − | 0.0158862i | ||||
\(447\) | 18.5806 | − | 4.30233i | 0.878832 | − | 0.203493i | ||||
\(448\) | 1.98796 | + | 1.74586i | 0.0939222 | + | 0.0824841i | ||||
\(449\) | −4.86749 | + | 7.57396i | −0.229711 | + | 0.357437i | −0.936906 | − | 0.349581i | \(-0.886324\pi\) |
0.707195 | + | 0.707018i | \(0.249960\pi\) | |||||||
\(450\) | 20.2650 | − | 2.48221i | 0.955300 | − | 0.117013i | ||||
\(451\) | −13.9154 | − | 14.5940i | −0.655249 | − | 0.687205i | ||||
\(452\) | −7.81143 | − | 3.12722i | −0.367419 | − | 0.147092i | ||||
\(453\) | −22.9542 | + | 15.9864i | −1.07848 | + | 0.751108i | ||||
\(454\) | −7.52307 | + | 3.43567i | −0.353075 | + | 0.161244i | ||||
\(455\) | 1.60475 | + | 2.06878i | 0.0752319 | + | 0.0969858i | ||||
\(456\) | 11.2779 | − | 6.35497i | 0.528137 | − | 0.297599i | ||||
\(457\) | 4.54458 | + | 11.3518i | 0.212586 | + | 0.531015i | 0.995885 | − | 0.0906309i | \(-0.0288884\pi\) |
−0.783298 | + | 0.621646i | \(0.786464\pi\) | |||||||
\(458\) | 0.116688 | + | 2.44959i | 0.00545249 | + | 0.114462i | ||||
\(459\) | −15.3025 | − | 17.0918i | −0.714261 | − | 0.797778i | ||||
\(460\) | 11.0707 | + | 12.2051i | 0.516176 | + | 0.569066i | ||||
\(461\) | − | 9.02081i | − | 0.420141i | −0.977686 | − | 0.210071i | \(-0.932631\pi\) | ||
0.977686 | − | 0.210071i | \(-0.0673694\pi\) | |||||||
\(462\) | 16.5917 | + | 14.8813i | 0.771915 | + | 0.692343i | ||||
\(463\) | 0.307659 | − | 2.13981i | 0.0142981 | − | 0.0994455i | −0.981423 | − | 0.191858i | \(-0.938549\pi\) |
0.995721 | + | 0.0924124i | \(0.0294578\pi\) | |||||||
\(464\) | 0.223170 | + | 2.33715i | 0.0103604 | + | 0.108499i | ||||
\(465\) | 7.90921 | − | 6.70982i | 0.366781 | − | 0.311161i | ||||
\(466\) | 11.3836 | + | 1.08700i | 0.527334 | + | 0.0503543i | ||||
\(467\) | −8.47436 | + | 24.4851i | −0.392147 | + | 1.13303i | 0.560290 | + | 0.828297i | \(0.310690\pi\) |
−0.952437 | + | 0.304737i | \(0.901431\pi\) | |||||||
\(468\) | 0.776108 | − | 0.379777i | 0.0358756 | − | 0.0175552i | ||||
\(469\) | −11.9643 | − | 17.0402i | −0.552459 | − | 0.786843i | ||||
\(470\) | −30.4453 | + | 35.1357i | −1.40433 | + | 1.62069i | ||||
\(471\) | −13.5788 | − | 10.9103i | −0.625678 | − | 0.502718i | ||||
\(472\) | 3.49417 | − | 1.80137i | 0.160832 | − | 0.0829147i | ||||
\(473\) | −10.7854 | + | 3.73285i | −0.495911 | + | 0.171636i | ||||
\(474\) | −4.16881 | + | 10.1055i | −0.191480 | + | 0.464163i | ||||
\(475\) | 50.3457 | − | 7.23862i | 2.31002 | − | 0.332130i | ||||
\(476\) | 5.42151 | − | 10.3467i | 0.248495 | − | 0.474242i | ||||
\(477\) | 2.12532 | − | 1.94326i | 0.0973118 | − | 0.0889757i | ||||
\(478\) | −0.586776 | − | 0.559490i | −0.0268385 | − | 0.0255905i | ||||
\(479\) | 3.31145 | + | 4.65028i | 0.151304 | + | 0.212477i | 0.883270 | − | 0.468864i | \(-0.155337\pi\) |
−0.731966 | + | 0.681341i | \(0.761397\pi\) | |||||||
\(480\) | 5.72733 | − | 1.61682i | 0.261416 | − | 0.0737975i | ||||
\(481\) | 0.882281 | − | 1.71139i | 0.0402286 | − | 0.0780325i | ||||
\(482\) | 1.28226 | 0.0584052 | ||||||||
\(483\) | −3.24930 | − | 21.7357i | −0.147848 | − | 0.989010i | ||||
\(484\) | −12.6542 | −0.575191 | ||||||||
\(485\) | −2.60880 | + | 5.06037i | −0.118460 | + | 0.229780i | ||||
\(486\) | −9.69360 | + | 12.2080i | −0.439711 | + | 0.553764i | ||||
\(487\) | 20.8908 | + | 29.3371i | 0.946654 | + | 1.32939i | 0.944193 | + | 0.329393i | \(0.106844\pi\) |
0.00246165 | + | 0.999997i | \(0.499216\pi\) | |||||||
\(488\) | 9.60314 | + | 9.15658i | 0.434714 | + | 0.414499i | ||||
\(489\) | 3.60670 | − | 17.7142i | 0.163100 | − | 0.801065i | ||||
\(490\) | 2.60449 | − | 23.9099i | 0.117659 | − | 1.08014i | ||||
\(491\) | 7.53262 | − | 1.08303i | 0.339942 | − | 0.0488763i | 0.0297703 | − | 0.999557i | \(-0.490522\pi\) |
0.310172 | + | 0.950680i | \(0.399613\pi\) | |||||||
\(492\) | 6.63859 | + | 2.73860i | 0.299291 | + | 0.123466i | ||||
\(493\) | 9.79542 | − | 3.39023i | 0.441164 | − | 0.152688i | ||||
\(494\) | 1.91330 | − | 0.986375i | 0.0860835 | − | 0.0443791i | ||||
\(495\) | 48.3865 | − | 13.1146i | 2.17481 | − | 0.589459i | ||||
\(496\) | 1.14132 | − | 1.31715i | 0.0512467 | − | 0.0591418i | ||||
\(497\) | 5.47750 | − | 11.7860i | 0.245699 | − | 0.528673i | ||||
\(498\) | 15.1651 | + | 8.02003i | 0.679565 | + | 0.359386i | ||||
\(499\) | 1.61313 | − | 4.66083i | 0.0722136 | − | 0.208648i | −0.903118 | − | 0.429393i | \(-0.858728\pi\) |
0.975332 | + | 0.220745i | \(0.0708489\pi\) | |||||||
\(500\) | 6.17537 | + | 0.589677i | 0.276171 | + | 0.0263711i | ||||
\(501\) | 13.1511 | + | 15.5018i | 0.587546 | + | 0.692571i | ||||
\(502\) | 2.93928 | + | 30.7815i | 0.131186 | + | 1.37384i | ||||
\(503\) | −5.79323 | + | 40.2928i | −0.258307 | + | 1.79657i | 0.286579 | + | 0.958057i | \(0.407482\pi\) |
−0.544886 | + | 0.838510i | \(0.683427\pi\) | |||||||
\(504\) | −7.55120 | − | 2.44527i | −0.336357 | − | 0.108921i | ||||
\(505\) | − | 30.3858i | − | 1.35215i | ||||||
\(506\) | 17.9699 | + | 14.8704i | 0.798860 | + | 0.661070i | ||||
\(507\) | −20.4473 | + | 9.08070i | −0.908095 | + | 0.403288i | ||||
\(508\) | −0.150135 | − | 3.15171i | −0.00666114 | − | 0.139835i | ||||
\(509\) | −0.451557 | − | 1.12794i | −0.0200149 | − | 0.0499949i | 0.918024 | − | 0.396525i | \(-0.129784\pi\) |
−0.938039 | + | 0.346530i | \(0.887360\pi\) | |||||||
\(510\) | −12.8986 | − | 22.8907i | −0.571159 | − | 1.01362i | ||||
\(511\) | 8.44465 | − | 20.6938i | 0.373569 | − | 0.915438i | ||||
\(512\) | 0.909632 | − | 0.415415i | 0.0402004 | − | 0.0183589i | ||||
\(513\) | −23.5082 | + | 30.9121i | −1.03791 | + | 1.36480i | ||||
\(514\) | −11.3485 | − | 4.54325i | −0.500560 | − | 0.200394i | ||||
\(515\) | 25.0155 | + | 26.2355i | 1.10231 | + | 1.15607i | ||||
\(516\) | 2.97080 | − | 2.77391i | 0.130782 | − | 0.122115i | ||||
\(517\) | −35.5788 | + | 55.3618i | −1.56476 | + | 2.43481i | ||||
\(518\) | −16.7526 | + | 5.67364i | −0.736066 | + | 0.249286i | ||||
\(519\) | 9.09450 | + | 39.2766i | 0.399204 | + | 1.72405i | ||||
\(520\) | 0.961699 | − | 0.233306i | 0.0421733 | − | 0.0102311i | ||||
\(521\) | −4.56642 | − | 1.82812i | −0.200059 | − | 0.0800914i | 0.269469 | − | 0.963009i | \(-0.413152\pi\) |
−0.469528 | + | 0.882918i | \(0.655576\pi\) | |||||||
\(522\) | −3.39331 | − | 6.17204i | −0.148521 | − | 0.270143i | ||||
\(523\) | −29.9459 | − | 21.3244i | −1.30944 | − | 0.932450i | −0.309613 | − | 0.950863i | \(-0.600199\pi\) |
−0.999830 | + | 0.0184126i | \(0.994139\pi\) | |||||||
\(524\) | 0.820629 | + | 2.79481i | 0.0358493 | + | 0.122092i | ||||
\(525\) | −24.1809 | − | 19.6949i | −1.05534 | − | 0.859556i | ||||
\(526\) | 3.98529 | + | 0.572998i | 0.173767 | + | 0.0249839i | ||||
\(527\) | −6.83932 | − | 3.52592i | −0.297926 | − | 0.153591i | ||||
\(528\) | 7.69886 | − | 3.41909i | 0.335050 | − | 0.148797i | ||||
\(529\) | −4.30323 | − | 22.5939i | −0.187097 | − | 0.982341i | ||||
\(530\) | 2.85636 | − | 1.64912i | 0.124073 | − | 0.0716333i | ||||
\(531\) | −7.48259 | + | 9.11581i | −0.324717 | + | 0.395593i | ||||
\(532\) | −18.9356 | − | 5.69706i | −0.820962 | − | 0.246999i | ||||
\(533\) | 1.08623 | + | 0.496065i | 0.0470499 | + | 0.0214870i | ||||
\(534\) | 30.4746 | − | 5.54356i | 1.31876 | − | 0.239893i | ||||
\(535\) | −23.4958 | − | 2.24357i | −1.01581 | − | 0.0969981i | ||||
\(536\) | −7.72737 | + | 1.48933i | −0.333772 | + | 0.0643292i | ||||
\(537\) | −1.45660 | − | 39.2009i | −0.0628571 | − | 1.69164i | ||||
\(538\) | 13.2625 | + | 3.89421i | 0.571786 | + | 0.167891i | ||||
\(539\) | −1.16745 | − | 34.0249i | −0.0502857 | − | 1.46556i | ||||
\(540\) | −13.8529 | + | 11.2625i | −0.596136 | + | 0.484661i | ||||
\(541\) | 0.632599 | − | 13.2799i | 0.0271975 | − | 0.570947i | −0.943606 | − | 0.331071i | \(-0.892590\pi\) |
0.970804 | − | 0.239876i | \(-0.0771068\pi\) | |||||||
\(542\) | 16.6113 | − | 5.74923i | 0.713517 | − | 0.246950i | ||||
\(543\) | 2.24686 | + | 16.8787i | 0.0964222 | + | 0.724335i | ||||
\(544\) | −2.72919 | − | 3.47045i | −0.117013 | − | 0.148794i | ||||
\(545\) | −38.3590 | + | 33.2383i | −1.64312 | + | 1.42377i | ||||
\(546\) | −1.23969 | − | 0.452958i | −0.0530539 | − | 0.0193848i | ||||
\(547\) | 0.210529 | − | 0.0618168i | 0.00900156 | − | 0.00264310i | −0.277229 | − | 0.960804i | \(-0.589416\pi\) |
0.286230 | + | 0.958161i | \(0.407598\pi\) | |||||||
\(548\) | −5.93438 | + | 0.566664i | −0.253504 | + | 0.0242067i | ||||
\(549\) | −37.3368 | − | 13.8035i | −1.59349 | − | 0.589119i | ||||
\(550\) | 33.0614 | − | 1.57491i | 1.40974 | − | 0.0671542i | ||||
\(551\) | −8.77351 | − | 15.1962i | −0.373764 | − | 0.647379i | ||||
\(552\) | −7.99820 | − | 2.24249i | −0.340426 | − | 0.0954467i | ||||
\(553\) | 15.5432 | − | 6.10292i | 0.660963 | − | 0.259522i | ||||
\(554\) | −8.41990 | − | 13.1016i | −0.357727 | − | 0.556634i | ||||
\(555\) | −9.78343 | + | 38.5628i | −0.415284 | + | 1.63690i | ||||
\(556\) | −10.2848 | − | 14.4430i | −0.436172 | − | 0.612518i | ||||
\(557\) | −2.03145 | + | 8.37377i | −0.0860755 | + | 0.354808i | −0.998520 | − | 0.0543934i | \(-0.982677\pi\) |
0.912444 | + | 0.409201i | \(0.134193\pi\) | |||||||
\(558\) | −1.57766 | + | 4.98482i | −0.0667877 | + | 0.211024i | ||||
\(559\) | 0.510788 | − | 0.442601i | 0.0216040 | − | 0.0187200i | ||||
\(560\) | −7.84226 | − | 4.59754i | −0.331396 | − | 0.194282i | ||||
\(561\) | −22.6835 | − | 29.4737i | −0.957698 | − | 1.24438i | ||||
\(562\) | −0.955319 | + | 4.95666i | −0.0402977 | + | 0.209084i | ||||
\(563\) | −6.29286 | + | 3.24420i | −0.265213 | + | 0.136727i | −0.585705 | − | 0.810525i | \(-0.699182\pi\) |
0.320492 | + | 0.947251i | \(0.396152\pi\) | |||||||
\(564\) | 3.57779 | − | 23.1616i | 0.150652 | − | 0.975280i | ||||
\(565\) | 28.3878 | + | 5.47130i | 1.19428 | + | 0.230179i | ||||
\(566\) | −17.7849 | − | 5.22211i | −0.747553 | − | 0.219501i | ||||
\(567\) | 23.7059 | − | 2.24238i | 0.995556 | − | 0.0941709i | ||||
\(568\) | −3.21685 | − | 3.71244i | −0.134976 | − | 0.155770i | ||||
\(569\) | 9.73829 | − | 13.6755i | 0.408250 | − | 0.573308i | −0.558347 | − | 0.829608i | \(-0.688564\pi\) |
0.966597 | + | 0.256300i | \(0.0825035\pi\) | |||||||
\(570\) | −33.9173 | + | 28.7740i | −1.42064 | + | 1.20521i | ||||
\(571\) | 7.30189 | − | 5.19965i | 0.305575 | − | 0.217599i | −0.416975 | − | 0.908918i | \(-0.636910\pi\) |
0.722549 | + | 0.691319i | \(0.242970\pi\) | |||||||
\(572\) | 1.30044 | − | 0.520617i | 0.0543740 | − | 0.0217681i | ||||
\(573\) | −45.6524 | − | 2.65353i | −1.90716 | − | 0.110853i | ||||
\(574\) | −4.00917 | − | 10.2107i | −0.167339 | − | 0.426187i | ||||
\(575\) | −26.1065 | − | 19.5878i | −1.08872 | − | 0.816869i | ||||
\(576\) | −2.01158 | + | 2.22566i | −0.0838157 | + | 0.0927358i | ||||
\(577\) | 0.664789 | + | 13.9556i | 0.0276755 | + | 0.580981i | 0.969532 | + | 0.244965i | \(0.0787766\pi\) |
−0.941856 | + | 0.336016i | \(0.890920\pi\) | |||||||
\(578\) | −1.54077 | + | 1.95925i | −0.0640877 | + | 0.0814942i | ||||
\(579\) | 0.147334 | + | 0.0871305i | 0.00612299 | + | 0.00362102i | ||||
\(580\) | −2.27267 | − | 7.73999i | −0.0943674 | − | 0.321386i | ||||
\(581\) | −7.21542 | − | 25.1921i | −0.299346 | − | 1.04514i | ||||
\(582\) | −0.242912 | − | 2.85969i | −0.0100690 | − | 0.118538i | ||||
\(583\) | 3.66984 | − | 2.88599i | 0.151989 | − | 0.119526i | ||||
\(584\) | −5.82957 | − | 6.11388i | −0.241229 | − | 0.252994i | ||||
\(585\) | −2.37150 | + | 1.78596i | −0.0980493 | + | 0.0738405i | ||||
\(586\) | 2.76230 | + | 0.131585i | 0.114110 | + | 0.00543571i | ||||
\(587\) | −3.64650 | + | 5.67407i | −0.150507 | + | 0.234194i | −0.908318 | − | 0.418281i | \(-0.862633\pi\) |
0.757811 | + | 0.652475i | \(0.226269\pi\) | |||||||
\(588\) | 5.29809 | + | 10.9055i | 0.218490 | + | 0.449736i | ||||
\(589\) | −3.66979 | + | 12.4982i | −0.151211 | + | 0.514978i | ||||
\(590\) | −10.6173 | + | 8.34958i | −0.437109 | + | 0.343747i | ||||
\(591\) | −15.8384 | + | 33.7428i | −0.651506 | + | 1.38799i | ||||
\(592\) | −0.635464 | + | 6.65489i | −0.0261174 | + | 0.273514i | ||||
\(593\) | −16.1729 | + | 16.9616i | −0.664140 | + | 0.696530i | −0.966501 | − | 0.256664i | \(-0.917377\pi\) |
0.302361 | + | 0.953193i | \(0.402225\pi\) | |||||||
\(594\) | −17.1406 | + | 18.5705i | −0.703286 | + | 0.761958i | ||||
\(595\) | −11.5632 | + | 38.4333i | −0.474047 | + | 1.57561i | ||||
\(596\) | −9.26332 | + | 5.95318i | −0.379440 | + | 0.243852i | ||||
\(597\) | −22.5585 | − | 2.39242i | −0.923257 | − | 0.0979153i | ||||
\(598\) | −1.31522 | − | 0.422021i | −0.0537834 | − | 0.0172577i | ||||
\(599\) | −25.8539 | − | 14.9268i | −1.05636 | − | 0.609891i | −0.131938 | − | 0.991258i | \(-0.542120\pi\) |
−0.924424 | + | 0.381367i | \(0.875453\pi\) | |||||||
\(600\) | −10.5330 | + | 5.29144i | −0.430008 | + | 0.216022i | ||||
\(601\) | −1.27179 | + | 8.84547i | −0.0518772 | + | 0.360814i | 0.947303 | + | 0.320338i | \(0.103797\pi\) |
−0.999181 | + | 0.0404760i | \(0.987113\pi\) | |||||||
\(602\) | −6.19951 | − | 0.336658i | −0.252673 | − | 0.0137212i | ||||
\(603\) | 19.5134 | − | 13.2892i | 0.794646 | − | 0.541176i | ||||
\(604\) | 9.36788 | − | 13.1554i | 0.381174 | − | 0.535284i | ||||
\(605\) | 42.6930 | − | 8.22840i | 1.73572 | − | 0.334532i | ||||
\(606\) | 8.14606 | + | 12.9719i | 0.330911 | + | 0.526946i | ||||
\(607\) | 4.71985 | + | 19.4555i | 0.191573 | + | 0.789674i | 0.983774 | + | 0.179413i | \(0.0574200\pi\) |
−0.792201 | + | 0.610260i | \(0.791065\pi\) | |||||||
\(608\) | −4.89436 | + | 5.64839i | −0.198492 | + | 0.229072i | ||||
\(609\) | −3.20730 | + | 10.2697i | −0.129966 | + | 0.416149i | ||||
\(610\) | −38.3533 | − | 24.6482i | −1.55288 | − | 0.997976i | ||||
\(611\) | 0.737535 | − | 3.82670i | 0.0298375 | − | 0.154812i | ||||
\(612\) | 11.6432 | + | 6.31418i | 0.470648 | + | 0.255236i | ||||
\(613\) | 16.1175 | − | 40.2597i | 0.650981 | − | 1.62607i | −0.122660 | − | 0.992449i | \(-0.539143\pi\) |
0.773641 | − | 0.633624i | \(-0.218433\pi\) | |||||||
\(614\) | 0.163376 | + | 0.0565450i | 0.00659332 | + | 0.00228197i | ||||
\(615\) | −24.1782 | − | 4.92279i | −0.974959 | − | 0.198506i | ||||
\(616\) | −11.9139 | − | 4.86181i | −0.480027 | − | 0.195888i | ||||
\(617\) | 8.08273 | − | 17.6987i | 0.325398 | − | 0.712523i | −0.674264 | − | 0.738490i | \(-0.735539\pi\) |
0.999663 | + | 0.0259669i | \(0.00826646\pi\) | |||||||
\(618\) | −17.7127 | − | 4.49372i | −0.712507 | − | 0.180764i | ||||
\(619\) | 25.7362 | − | 1.22597i | 1.03443 | − | 0.0492758i | 0.476507 | − | 0.879171i | \(-0.341903\pi\) |
0.557920 | + | 0.829895i | \(0.311600\pi\) | |||||||
\(620\) | −2.99412 | + | 5.18597i | −0.120247 | + | 0.208274i | ||||
\(621\) | 24.6961 | − | 3.33235i | 0.991019 | − | 0.133722i | ||||
\(622\) | 13.1714 | 0.528124 | ||||||||
\(623\) | −38.3580 | − | 27.7009i | −1.53678 | − | 1.10981i | ||||
\(624\) | −0.348008 | + | 0.357419i | −0.0139315 | + | 0.0143082i | ||||
\(625\) | 12.6553 | − | 1.20843i | 0.506211 | − | 0.0483373i | ||||
\(626\) | −5.74784 | + | 23.6929i | −0.229730 | + | 0.946959i | ||||
\(627\) | −41.7251 | + | 47.1478i | −1.66634 | + | 1.88290i | ||||
\(628\) | 9.50368 | + | 3.28926i | 0.379238 | + | 0.131256i | ||||
\(629\) | 29.2148 | − | 4.20045i | 1.16487 | − | 0.167483i | ||||
\(630\) | 27.0664 | + | 3.33973i | 1.07835 | + | 0.133058i | ||||
\(631\) | −6.26959 | − | 5.43263i | −0.249588 | − | 0.216270i | 0.521077 | − | 0.853510i | \(-0.325530\pi\) |
−0.770665 | + | 0.637240i | \(0.780076\pi\) | |||||||
\(632\) | 0.300308 | − | 6.30424i | 0.0119456 | − | 0.250769i | ||||
\(633\) | −2.23607 | − | 0.345406i | −0.0888756 | − | 0.0137287i | ||||
\(634\) | 7.32332 | + | 21.1593i | 0.290846 | + | 0.840345i | ||||
\(635\) | 2.55593 | + | 10.5357i | 0.101429 | + | 0.418096i | ||||
\(636\) | −0.777287 | + | 1.46978i | −0.0308214 | + | 0.0582804i | ||||
\(637\) | 0.813053 | + | 1.84489i | 0.0322143 | + | 0.0730973i | ||||
\(638\) | −4.74344 | − | 10.3867i | −0.187795 | − | 0.411213i | ||||
\(639\) | 13.2741 | + | 6.40094i | 0.525114 | + | 0.253217i | ||||
\(640\) | −2.79881 | + | 1.99302i | −0.110633 | + | 0.0787812i | ||||
\(641\) | 18.5818 | + | 14.6129i | 0.733938 | + | 0.577176i | 0.913630 | − | 0.406548i | \(-0.133267\pi\) |
−0.179691 | + | 0.983723i | \(0.557510\pi\) | |||||||
\(642\) | 10.6319 | − | 5.34113i | 0.419609 | − | 0.210798i | ||||
\(643\) | 45.2326i | 1.78380i | 0.452232 | + | 0.891900i | \(0.350628\pi\) | ||||
−0.452232 | + | 0.891900i | \(0.649372\pi\) | |||||||
\(644\) | 5.99453 | + | 11.1833i | 0.236217 | + | 0.440683i | ||||
\(645\) | −8.21921 | + | 11.2905i | −0.323631 | + | 0.444561i | ||||
\(646\) | 29.3293 | + | 15.1203i | 1.15395 | + | 0.594901i | ||||
\(647\) | 20.4066 | − | 25.9492i | 0.802268 | − | 1.02017i | −0.196942 | − | 0.980415i | \(-0.563101\pi\) |
0.999210 | − | 0.0397514i | \(-0.0126566\pi\) | |||||||
\(648\) | 2.89456 | − | 8.52183i | 0.113709 | − | 0.334769i | ||||
\(649\) | −13.1940 | + | 13.8374i | −0.517908 | + | 0.543167i | ||||
\(650\) | −1.78295 | + | 0.814247i | −0.0699331 | + | 0.0319374i | ||||
\(651\) | 7.16044 | − | 3.53772i | 0.280640 | − | 0.138654i | ||||
\(652\) | 1.48536 | + | 10.3309i | 0.0581712 | + | 0.404590i | ||||
\(653\) | −11.7567 | + | 2.85214i | −0.460074 | + | 0.111613i | −0.459096 | − | 0.888387i | \(-0.651827\pi\) |
−0.000978387 | 1.00000i | \(0.500311\pi\) | ||||||||
\(654\) | 7.46489 | − | 24.4732i | 0.291900 | − | 0.956978i | ||||
\(655\) | −4.58598 | − | 8.89555i | −0.179189 | − | 0.347578i | ||||
\(656\) | −4.14142 | − | 0.197280i | −0.161695 | − | 0.00770250i | ||||
\(657\) | 23.3255 | + | 9.90914i | 0.910015 | + | 0.386592i | ||||
\(658\) | −29.2989 | + | 20.5714i | −1.14219 | + | 0.801956i | ||||
\(659\) | 1.51036 | + | 10.5048i | 0.0588351 | + | 0.409207i | 0.997862 | + | 0.0653625i | \(0.0208204\pi\) |
−0.939026 | + | 0.343845i | \(0.888271\pi\) | |||||||
\(660\) | −23.7513 | + | 16.5416i | −0.924518 | + | 0.643880i | ||||
\(661\) | 4.61390 | − | 48.3189i | 0.179460 | − | 1.87939i | −0.238811 | − | 0.971066i | \(-0.576758\pi\) |
0.418271 | − | 0.908322i | \(-0.362636\pi\) | |||||||
\(662\) | 26.7302 | + | 6.48469i | 1.03890 | + | 0.252035i | ||||
\(663\) | 1.89577 | + | 1.12112i | 0.0736257 | + | 0.0435409i | ||||
\(664\) | −9.80375 | − | 1.40957i | −0.380459 | − | 0.0547018i | ||||
\(665\) | 67.5898 | + | 6.90796i | 2.62102 | + | 0.267879i | ||||
\(666\) | −6.16163 | − | 19.0855i | −0.238758 | − | 0.739548i | ||||
\(667\) | −2.92611 | + | 10.8727i | −0.113299 | + | 0.420992i | ||||
\(668\) | −10.1644 | − | 5.86840i | −0.393271 | − | 0.227055i | ||||
\(669\) | 1.35418 | − | 2.05946i | 0.0523556 | − | 0.0796233i | ||||
\(670\) | 25.1023 | − | 10.0494i | 0.969787 | − | 0.388244i | ||||
\(671\) | −58.7022 | − | 26.8084i | −2.26617 | − | 1.03493i | ||||
\(672\) | 4.58045 | − | 0.139699i | 0.176695 | − | 0.00538900i | ||||
\(673\) | −5.99880 | − | 13.1355i | −0.231237 | − | 0.506337i | 0.758073 | − | 0.652170i | \(-0.226141\pi\) |
−0.989309 | + | 0.145833i | \(0.953414\pi\) | |||||||
\(674\) | −1.35824 | + | 3.92437i | −0.0523174 | + | 0.151161i | ||||
\(675\) | 22.7208 | − | 27.0972i | 0.874526 | − | 1.04297i | ||||
\(676\) | 9.34851 | − | 8.91378i | 0.359558 | − | 0.342838i | ||||
\(677\) | −6.62221 | − | 1.27633i | −0.254512 | − | 0.0490532i | 0.0603991 | − | 0.998174i | \(-0.480763\pi\) |
−0.314911 | + | 0.949121i | \(0.601975\pi\) | |||||||
\(678\) | −13.5857 | + | 5.27470i | −0.521756 | + | 0.202574i | ||||
\(679\) | −2.89286 | + | 3.29402i | −0.111018 | + | 0.126413i | ||||
\(680\) | 11.4645 | + | 9.93401i | 0.439642 | + | 0.380952i | ||||
\(681\) | −5.46281 | + | 13.2423i | −0.209335 | + | 0.507447i | ||||
\(682\) | −3.15036 | + | 7.86923i | −0.120634 | + | 0.301328i | ||||
\(683\) | −3.86158 | − | 20.0358i | −0.147759 | − | 0.766647i | −0.977897 | − | 0.209089i | \(-0.932950\pi\) |
0.830138 | − | 0.557559i | \(-0.188262\pi\) | |||||||
\(684\) | 6.76554 | − | 21.3766i | 0.258687 | − | 0.817354i | ||||
\(685\) | 19.6530 | − | 5.77065i | 0.750904 | − | 0.220485i | ||||
\(686\) | 6.40536 | − | 17.3773i | 0.244558 | − | 0.663469i | ||||
\(687\) | 3.04333 | + | 2.96319i | 0.116110 | + | 0.113053i | ||||
\(688\) | −1.07530 | + | 2.08578i | −0.0409953 | + | 0.0795198i | ||||
\(689\) | −0.138238 | + | 0.239435i | −0.00526643 | + | 0.00912173i | ||||
\(690\) | 28.4427 | + | 2.36492i | 1.08279 | + | 0.0900310i | ||||
\(691\) | 12.3786 | + | 21.4403i | 0.470904 | + | 0.815629i | 0.999446 | − | 0.0332778i | \(-0.0105946\pi\) |
−0.528542 | + | 0.848907i | \(0.677261\pi\) | |||||||
\(692\) | −12.5841 | − | 19.5813i | −0.478377 | − | 0.744369i | ||||
\(693\) | 38.5956 | − | 0.773171i | 1.46612 | − | 0.0293703i | ||||
\(694\) | −2.84339 | + | 6.22617i | −0.107934 | + | 0.236342i | ||||
\(695\) | 44.0906 | + | 42.0403i | 1.67245 | + | 1.59468i | ||||
\(696\) | 3.04521 | + | 2.69497i | 0.115428 | + | 0.102153i | ||||
\(697\) | 3.46429 | + | 17.9744i | 0.131219 | + | 0.680831i | ||||
\(698\) | −3.99288 | − | 5.07737i | −0.151133 | − | 0.192181i | ||||
\(699\) | 15.6963 | − | 12.0801i | 0.593688 | − | 0.456913i | ||||
\(700\) | 16.9758 | + | 6.00209i | 0.641624 | + | 0.226858i | ||||
\(701\) | −0.753265 | − | 0.484094i | −0.0284504 | − | 0.0182840i | 0.526338 | − | 0.850275i | \(-0.323565\pi\) |
−0.554789 | + | 0.831991i | \(0.687201\pi\) | |||||||
\(702\) | 0.533609 | − | 1.39821i | 0.0201398 | − | 0.0527719i | ||||
\(703\) | −16.3417 | − | 47.2161i | −0.616337 | − | 1.78079i | ||||
\(704\) | −3.51992 | + | 3.35624i | −0.132662 | + | 0.126493i | ||||
\(705\) | 2.99004 | + | 80.4696i | 0.112612 | + | 3.03066i | ||||
\(706\) | −9.41438 | − | 10.8648i | −0.354315 | − | 0.408901i | ||||
\(707\) | 5.66738 | − | 22.7012i | 0.213144 | − | 0.853767i | ||||
\(708\) | 2.29418 | − | 6.41086i | 0.0862207 | − | 0.240935i | ||||
\(709\) | −2.13341 | − | 22.3421i | −0.0801218 | − | 0.839074i | −0.942808 | − | 0.333335i | \(-0.891826\pi\) |
0.862687 | − | 0.505739i | \(-0.168780\pi\) | |||||||
\(710\) | 13.2671 | + | 10.4333i | 0.497904 | + | 0.391556i | ||||
\(711\) | 6.66789 | + | 17.7212i | 0.250066 | + | 0.664598i | ||||
\(712\) | −15.4873 | + | 8.94162i | −0.580413 | + | 0.335101i | ||||
\(713\) | 7.34036 | − | 3.99769i | 0.274898 | − | 0.149715i | ||||
\(714\) | −5.36710 | − | 19.5074i | −0.200859 | − | 0.730045i | ||||
\(715\) | −4.04891 | + | 2.60208i | −0.151421 | + | 0.0973121i | ||||
\(716\) | 8.41751 | + | 21.0259i | 0.314577 | + | 0.785776i | ||||
\(717\) | −1.40420 | − | 0.0146879i | −0.0524409 | − | 0.000548528i | ||||
\(718\) | 3.67283 | + | 0.891019i | 0.137069 | + | 0.0332525i | ||||
\(719\) | −40.6015 | − | 28.9122i | −1.51418 | − | 1.07824i | −0.971132 | − | 0.238543i | \(-0.923330\pi\) |
−0.543049 | − | 0.839701i | \(-0.682730\pi\) | |||||||
\(720\) | 5.33946 | − | 8.81700i | 0.198990 | − | 0.328590i | ||||
\(721\) | 13.7958 | + | 24.2662i | 0.513781 | + | 0.903722i | ||||
\(722\) | 10.3844 | − | 35.3660i | 0.386467 | − | 1.31618i | ||||
\(723\) | 1.62331 | − | 1.51572i | 0.0603714 | − | 0.0563704i | ||||
\(724\) | −4.50478 | − | 8.73805i | −0.167419 | − | 0.324747i | ||||
\(725\) | 7.32143 | + | 14.2016i | 0.271911 | + | 0.527434i | ||||
\(726\) | −16.0199 | + | 14.9582i | −0.594555 | + | 0.555151i | ||||
\(727\) | 0.228388 | − | 0.777818i | 0.00847045 | − | 0.0288477i | −0.955149 | − | 0.296125i | \(-0.904306\pi\) |
0.963620 | + | 0.267277i | \(0.0861238\pi\) | |||||||
\(728\) | 0.761999 | + | 0.00506801i | 0.0282416 | + | 0.000187833i | ||||
\(729\) | 2.15884 | + | 26.9136i | 0.0799570 | + | 0.996798i | ||||
\(730\) | 23.6435 | + | 16.8364i | 0.875084 | + | 0.623144i | ||||
\(731\) | 10.0685 | + | 2.44259i | 0.372396 | + | 0.0903424i | ||||
\(732\) | 22.9811 | + | 0.240381i | 0.849407 | + | 0.00888473i | ||||
\(733\) | −18.4417 | − | 46.0651i | −0.681159 | − | 1.70145i | −0.712239 | − | 0.701937i | \(-0.752319\pi\) |
0.0310800 | − | 0.999517i | \(-0.490105\pi\) | |||||||
\(734\) | 15.2334 | − | 9.78994i | 0.562277 | − | 0.361353i | ||||
\(735\) | −24.9661 | − | 33.3481i | −0.920889 | − | 1.23006i | ||||
\(736\) | 4.78398 | − | 0.336884i | 0.176340 | − | 0.0124177i | ||||
\(737\) | 33.1464 | − | 19.1371i | 1.22096 | − | 0.704924i | ||||
\(738\) | 11.6415 | − | 4.38031i | 0.428531 | − | 0.161242i | ||||
\(739\) | −34.1720 | − | 26.8732i | −1.25704 | − | 0.988545i | −0.999753 | − | 0.0222095i | \(-0.992930\pi\) |
−0.257284 | − | 0.966336i | \(-0.582828\pi\) | |||||||
\(740\) | −2.18340 | − | 22.8656i | −0.0802633 | − | 0.840556i | ||||
\(741\) | 1.25623 | − | 3.51039i | 0.0461486 | − | 0.128958i | ||||
\(742\) | 2.44157 | − | 0.699306i | 0.0896329 | − | 0.0256723i | ||||
\(743\) | −12.6241 | − | 14.5690i | −0.463135 | − | 0.534486i | 0.475355 | − | 0.879794i | \(-0.342320\pi\) |
−0.938489 | + | 0.345308i | \(0.887774\pi\) | |||||||
\(744\) | −0.112089 | − | 3.01661i | −0.00410940 | − | 0.110594i | ||||
\(745\) | 27.3817 | − | 26.1084i | 1.00319 | − | 0.956538i | ||||
\(746\) | 7.52727 | + | 21.7486i | 0.275593 | + | 0.796273i | ||||
\(747\) | 28.6790 | − | 7.77312i | 1.04931 | − | 0.284404i | ||||
\(748\) | 18.0640 | + | 11.6091i | 0.660487 | + | 0.424469i | ||||
\(749\) | −17.1352 | − | 6.05846i | −0.626107 | − | 0.221371i | ||||
\(750\) | 8.51493 | − | 6.55324i | 0.310921 | − | 0.239291i | ||||
\(751\) | 9.88056 | + | 12.5642i | 0.360547 | + | 0.458473i | 0.932158 | − | 0.362052i | \(-0.117924\pi\) |
−0.571611 | + | 0.820525i | \(0.693681\pi\) | |||||||
\(752\) | 2.56075 | + | 13.2864i | 0.0933810 | + | 0.484507i | ||||
\(753\) | 40.1071 | + | 35.4942i | 1.46158 | + | 1.29348i | ||||
\(754\) | 0.489386 | + | 0.466628i | 0.0178224 | + | 0.0169936i | ||||
\(755\) | −23.0513 | + | 50.4752i | −0.838922 | + | 1.83698i | ||||
\(756\) | −12.4501 | + | 5.83043i | −0.452807 | + | 0.212051i | ||||
\(757\) | −12.0258 | − | 18.7125i | −0.437085 | − | 0.680117i | 0.550917 | − | 0.834560i | \(-0.314278\pi\) |
−0.988002 | + | 0.154443i | \(0.950642\pi\) | |||||||
\(758\) | 6.96409 | + | 12.0622i | 0.252947 | + | 0.438117i | ||||
\(759\) | 40.3274 | − | 2.41622i | 1.46379 | − | 0.0877033i | ||||
\(760\) | 12.8398 | − | 22.2392i | 0.465749 | − | 0.806700i | ||||
\(761\) | 4.30002 | − | 8.34087i | 0.155876 | − | 0.302356i | −0.797947 | − | 0.602728i | \(-0.794080\pi\) |
0.953822 | + | 0.300372i | \(0.0971107\pi\) | |||||||
\(762\) | −3.91563 | − | 3.81252i | −0.141848 | − | 0.138113i | ||||
\(763\) | −34.8574 | + | 17.6778i | −1.26192 | + | 0.639980i | ||||
\(764\) | 25.3324 | − | 7.43828i | 0.916496 | − | 0.269107i | ||||
\(765\) | −43.3878 | − | 13.7319i | −1.56869 | − | 0.496479i | ||||
\(766\) | 0.723448 | + | 3.75360i | 0.0261392 | + | 0.135623i | ||||
\(767\) | 0.420810 | − | 1.05113i | 0.0151946 | − | 0.0379542i | ||||
\(768\) | 0.660521 | − | 1.60116i | 0.0238345 | − | 0.0577769i | ||||
\(769\) | 23.5744 | + | 20.4274i | 0.850115 | + | 0.736629i | 0.966525 | − | 0.256572i | \(-0.0825931\pi\) |
−0.116410 | + | 0.993201i | \(0.537139\pi\) | |||||||
\(770\) | 43.3569 | + | 8.65582i | 1.56247 | + | 0.311934i | ||||
\(771\) | −19.7374 | + | 7.66311i | −0.710824 | + | 0.275980i | ||||
\(772\) | −0.0970389 | − | 0.0187027i | −0.00349250 | − | 0.000673125i | ||||
\(773\) | 6.12827 | − | 5.84329i | 0.220419 | − | 0.210169i | −0.571822 | − | 0.820378i | \(-0.693763\pi\) |
0.792240 | + | 0.610209i | \(0.208915\pi\) | |||||||
\(774\) | 0.481992 | − | 7.02342i | 0.0173249 | − | 0.252452i | ||||
\(775\) | 3.87931 | − | 11.2085i | 0.139349 | − | 0.402622i | ||||
\(776\) | 0.688337 | + | 1.50725i | 0.0247099 | + | 0.0541071i | ||||
\(777\) | −14.5017 | + | 26.9855i | −0.520246 | + | 0.968100i | ||||
\(778\) | 16.7150 | + | 7.63348i | 0.599261 | + | 0.273673i | ||||
\(779\) | 28.7679 | − | 11.5169i | 1.03072 | − | 0.412637i | ||||
\(780\) | 0.941704 | − | 1.43216i | 0.0337184 | − | 0.0512796i | ||||
\(781\) | 20.6903 | + | 11.9455i | 0.740356 | + | 0.427445i | ||||
\(782\) | −6.42500 | − | 20.1754i | −0.229758 | − | 0.721471i | ||||
\(783\) | −11.5917 | − | 3.80251i | −0.414252 | − | 0.135891i | ||||
\(784\) | −5.00144 | − | 4.89751i | −0.178623 | − | 0.174911i | ||||
\(785\) | −34.2025 | − | 4.91758i | −1.22074 | − | 0.175516i | ||||
\(786\) | 4.34257 | + | 2.56811i | 0.154894 | + | 0.0916016i | ||||
\(787\) | −38.1378 | − | 9.25214i | −1.35947 | − | 0.329803i | −0.511241 | − | 0.859437i | \(-0.670814\pi\) |
−0.848226 | + | 0.529634i | \(0.822329\pi\) | |||||||
\(788\) | 2.04568 | − | 21.4233i | 0.0728744 | − | 0.763175i | ||||
\(789\) | 5.72261 | − | 3.98551i | 0.203730 | − | 0.141888i | ||||
\(790\) | 3.08615 | + | 21.4646i | 0.109800 | + | 0.763678i | ||||
\(791\) | 20.1880 | + | 9.38234i | 0.717804 | + | 0.333598i | ||||
\(792\) | 5.70496 | − | 13.4291i | 0.202717 | − | 0.477183i | ||||
\(793\) | 3.81731 | + | 0.181841i | 0.135557 | + | 0.00645736i | ||||
\(794\) | −6.17288 | − | 11.9737i | −0.219067 | − | 0.424931i | ||||
\(795\) | 1.66670 | − | 5.46419i | 0.0591119 | − | 0.193795i | ||||
\(796\) | 12.7280 | − | 3.08778i | 0.451132 | − | 0.109443i | ||||
\(797\) | −2.97791 | − | 20.7118i | −0.105483 | − | 0.733651i | −0.972081 | − | 0.234644i | \(-0.924607\pi\) |
0.866598 | − | 0.499006i | \(-0.166302\pi\) | |||||||
\(798\) | −30.7064 | + | 15.1710i | −1.08699 | + | 0.537046i | ||||
\(799\) | 54.3411 | − | 24.8168i | 1.92245 | − | 0.877954i | ||||
\(800\) | 4.69632 | − | 4.92536i | 0.166040 | − | 0.174138i | ||||
\(801\) | 32.0272 | − | 43.0413i | 1.13163 | − | 1.52079i | ||||
\(802\) | −11.5264 | + | 14.6570i | −0.407010 | + | 0.517555i | ||||
\(803\) | 36.5185 | + | 18.8266i | 1.28871 | + | 0.664377i | ||||
\(804\) | −8.02218 | + | 11.0198i | −0.282920 | + | 0.388638i | ||||
\(805\) | −27.4964 | − | 33.8324i | −0.969120 | − | 1.19244i | ||||
\(806\) | − | 0.501964i | − | 0.0176809i | ||||||
\(807\) | 21.3932 | − | 10.7473i | 0.753077 | − | 0.378321i | ||||
\(808\) | −6.95154 | − | 5.46675i | −0.244554 | − | 0.192320i | ||||
\(809\) | −15.3563 | + | 10.9351i | −0.539898 | + | 0.384459i | −0.817227 | − | 0.576316i | \(-0.804490\pi\) |
0.277330 | + | 0.960775i | \(0.410551\pi\) | |||||||
\(810\) | −4.22440 | + | 30.6333i | −0.148430 | + | 1.07634i | ||||
\(811\) | 5.60100 | + | 12.2645i | 0.196678 | + | 0.430664i | 0.982116 | − | 0.188275i | \(-0.0602898\pi\) |
−0.785438 | + | 0.618940i | \(0.787562\pi\) | |||||||
\(812\) | −0.254290 | − | 6.20643i | −0.00892381 | − | 0.217803i | ||||
\(813\) | 14.2335 | − | 26.9142i | 0.499191 | − | 0.943922i | ||||
\(814\) | −7.66538 | − | 31.5971i | −0.268672 | − | 1.10748i | ||||
\(815\) | −11.7290 | − | 33.8888i | −0.410849 | − | 1.18707i | ||||
\(816\) | −7.55743 | − | 1.16740i | −0.264563 | − | 0.0408672i | ||||
\(817\) | 0.834520 | − | 17.5187i | 0.0291961 | − | 0.612902i | ||||
\(818\) | 18.5493 | + | 16.0731i | 0.648562 | + | 0.561982i | ||||
\(819\) | −2.10485 | + | 0.891975i | −0.0735495 | + | 0.0311681i | ||||
\(820\) | 14.1007 | − | 2.02737i | 0.492417 | − | 0.0707989i | ||||
\(821\) | −33.6395 | − | 11.6427i | −1.17403 | − | 0.406335i | −0.330700 | − | 0.943736i | \(-0.607285\pi\) |
−0.843327 | + | 0.537401i | \(0.819406\pi\) | |||||||
\(822\) | −6.84295 | + | 7.73226i | −0.238675 | + | 0.269694i | ||||
\(823\) | 1.56379 | − | 6.44603i | 0.0545103 | − | 0.224694i | −0.938041 | − | 0.346525i | \(-0.887361\pi\) |
0.992551 | + | 0.121831i | \(0.0388766\pi\) | |||||||
\(824\) | 10.5026 | − | 1.00288i | 0.365876 | − | 0.0349369i | ||||
\(825\) | 39.9933 | − | 41.0748i | 1.39239 | − | 1.43004i | ||||
\(826\) | −9.48953 | + | 4.25768i | −0.330183 | + | 0.148144i | ||||
\(827\) | 29.9163 | 1.04029 | 0.520146 | − | 0.854077i | \(-0.325878\pi\) | ||||
0.520146 | + | 0.854077i | \(0.325878\pi\) | |||||||
\(828\) | −12.7763 | + | 6.61554i | −0.444008 | + | 0.229906i | ||||
\(829\) | 0.579696 | − | 1.00406i | 0.0201337 | − | 0.0348725i | −0.855783 | − | 0.517335i | \(-0.826924\pi\) |
0.875917 | + | 0.482462i | \(0.160257\pi\) | |||||||
\(830\) | 33.9927 | − | 1.61927i | 1.17990 | − | 0.0562057i | ||||
\(831\) | −26.1465 | − | 6.63339i | −0.907012 | − | 0.230110i | ||||
\(832\) | 0.119646 | − | 0.261988i | 0.00414797 | − | 0.00908279i | ||||
\(833\) | −15.8073 | + | 26.5568i | −0.547689 | + | 0.920139i | ||||
\(834\) | −30.0930 | − | 6.12707i | −1.04203 | − | 0.212163i | ||||
\(835\) | 38.1087 | + | 13.1895i | 1.31880 | + | 0.456443i | ||||
\(836\) | 13.5098 | − | 33.7459i | 0.467247 | − | 1.16713i | ||||
\(837\) | 3.89515 | + | 8.17558i | 0.134636 | + | 0.282589i | ||||
\(838\) | −1.12878 | + | 5.85667i | −0.0389931 | + | 0.202315i | ||||
\(839\) | 40.2613 | + | 25.8744i | 1.38997 | + | 0.893282i | 0.999625 | − | 0.0273843i | \(-0.00871778\pi\) |
0.390350 | + | 0.920667i | \(0.372354\pi\) | |||||||
\(840\) | −15.3628 | + | 3.44975i | −0.530065 | + | 0.119028i | ||||
\(841\) | −15.3813 | + | 17.7510i | −0.530391 | + | 0.612103i | ||||
\(842\) | 9.24639 | + | 38.1142i | 0.318652 | + | 1.31350i | ||||
\(843\) | 4.64974 | + | 7.40428i | 0.160145 | + | 0.255017i | ||||
\(844\) | 1.28270 | − | 0.247220i | 0.0441523 | − | 0.00850965i | ||||
\(845\) | −25.7440 | + | 36.1524i | −0.885620 | + | 1.24368i | ||||
\(846\) | −22.8494 | − | 33.5513i | −0.785578 | − | 1.15352i | ||||
\(847\) | 33.4306 | + | 1.81542i | 1.14869 | + | 0.0623784i | ||||
\(848\) | 0.136613 | − | 0.950163i | 0.00469130 | − | 0.0326287i | ||||
\(849\) | −28.6881 | + | 14.4120i | −0.984575 | + | 0.494618i | ||||
\(850\) | −26.0210 | − | 15.0232i | −0.892512 | − | 0.515292i | ||||
\(851\) | −14.0404 | + | 28.8230i | −0.481300 | + | 0.988040i | ||||
\(852\) | −8.46083 | − | 0.897308i | −0.289863 | − | 0.0307413i | ||||
\(853\) | 8.94663 | − | 5.74965i | 0.306327 | − | 0.196864i | −0.378441 | − | 0.925625i | \(-0.623540\pi\) |
0.684768 | + | 0.728761i | \(0.259903\pi\) | |||||||
\(854\) | −24.0565 | − | 25.5681i | −0.823197 | − | 0.874922i | ||||
\(855\) | −8.92557 | + | 76.5200i | −0.305248 | + | 2.61693i | ||||
\(856\) | −4.74043 | + | 4.97162i | −0.162024 | + | 0.169926i | ||||
\(857\) | −2.13430 | + | 22.3514i | −0.0729064 | + | 0.763510i | 0.882909 | + | 0.469544i | \(0.155582\pi\) |
−0.955816 | + | 0.293967i | \(0.905025\pi\) | |||||||
\(858\) | 1.03092 | − | 2.19630i | 0.0351949 | − | 0.0749806i | ||||
\(859\) | −15.3667 | + | 12.0845i | −0.524305 | + | 0.412318i | −0.844921 | − | 0.534891i | \(-0.820353\pi\) |
0.320616 | + | 0.947209i | \(0.396110\pi\) | |||||||
\(860\) | 2.27157 | − | 7.73627i | 0.0774600 | − | 0.263805i | ||||
\(861\) | −17.1453 | − | 8.18739i | −0.584312 | − | 0.279025i | ||||
\(862\) | −4.09427 | + | 6.37081i | −0.139451 | + | 0.216991i | ||||
\(863\) | −0.221406 | − | 0.0105469i | −0.00753674 | − | 0.000359019i | 0.0438132 | − | 0.999040i | \(-0.486049\pi\) |
−0.0513499 | + | 0.998681i | \(0.516352\pi\) | |||||||
\(864\) | 0.0842845 | + | 5.19547i | 0.00286742 | + | 0.176753i | ||||
\(865\) | 55.1893 | + | 57.8809i | 1.87649 | + | 1.96801i | ||||
\(866\) | 30.6558 | − | 24.1080i | 1.04173 | − | 0.819223i | ||||
\(867\) | 0.365400 | + | 4.30168i | 0.0124096 | + | 0.146093i | ||||
\(868\) | −3.20416 | + | 3.31599i | −0.108756 | + | 0.112552i | ||||
\(869\) | 8.64801 | + | 29.4524i | 0.293364 | + | 0.999105i | ||||
\(870\) | −12.0264 | − | 7.11219i | −0.407733 | − | 0.241126i | ||||
\(871\) | −1.40109 | + | 1.78164i | −0.0474742 | + | 0.0603684i | ||||
\(872\) | 0.702894 | + | 14.7556i | 0.0238030 | + | 0.499686i | ||||
\(873\) | −3.68789 | − | 3.33316i | −0.124816 | − | 0.112810i | ||||
\(874\) | −31.4779 | + | 17.1435i | −1.06476 | + | 0.579886i | ||||
\(875\) | −16.2299 | − | 2.44378i | −0.548670 | − | 0.0826150i | ||||
\(876\) | −14.6072 | − | 0.849038i | −0.493530 | − | 0.0286863i | ||||
\(877\) | −2.58054 | + | 1.03309i | −0.0871387 | + | 0.0348851i | −0.414822 | − | 0.909902i | \(-0.636156\pi\) |
0.327684 | + | 0.944788i | \(0.393732\pi\) | |||||||
\(878\) | −4.88608 | + | 3.47936i | −0.164897 | + | 0.117423i | ||||
\(879\) | 3.65255 | − | 3.09866i | 0.123198 | − | 0.104515i | ||||
\(880\) | 9.69319 | − | 13.6122i | 0.326757 | − | 0.458866i | ||||
\(881\) | 11.4402 | + | 13.2027i | 0.385430 | + | 0.444810i | 0.914999 | − | 0.403457i | \(-0.132191\pi\) |
−0.529568 | + | 0.848267i | \(0.677646\pi\) | |||||||
\(882\) | 19.5984 | + | 7.54338i | 0.659913 | + | 0.253999i | ||||
\(883\) | 33.0297 | + | 9.69840i | 1.11154 | + | 0.326377i | 0.785427 | − | 0.618954i | \(-0.212443\pi\) |
0.326112 | + | 0.945331i | \(0.394261\pi\) | |||||||
\(884\) | −1.24862 | − | 0.240651i | −0.0419955 | − | 0.00809397i | ||||
\(885\) | −3.57149 | + | 23.1209i | −0.120054 | + | 0.777200i | ||||
\(886\) | 22.5448 | − | 11.6227i | 0.757408 | − | 0.390471i | ||||
\(887\) | −4.13914 | + | 21.4759i | −0.138979 | + | 0.721090i | 0.843851 | + | 0.536577i | \(0.180283\pi\) |
−0.982830 | + | 0.184513i | \(0.940929\pi\) | |||||||
\(888\) | 7.06209 | + | 9.17610i | 0.236988 | + | 0.307930i | ||||
\(889\) | −0.0555215 | + | 8.34792i | −0.00186213 | + | 0.279980i | ||||
\(890\) | 46.4372 | − | 40.2380i | 1.55658 | − | 1.34878i | ||||
\(891\) | 0.252201 | + | 43.7713i | 0.00844906 | + | 1.46639i | ||||
\(892\) | −0.335496 | + | 1.38293i | −0.0112332 | + | 0.0463040i | ||||
\(893\) | −58.6605 | − | 82.3772i | −1.96300 | − | 2.75665i | ||||
\(894\) | −4.69005 | + | 18.4865i | −0.156859 | + | 0.618282i | ||||
\(895\) | −42.0713 | − | 65.4642i | −1.40629 | − | 2.18823i | ||||
\(896\) | −2.46272 | + | 0.966969i | −0.0822736 | + | 0.0323042i | ||||
\(897\) | −2.16390 | + | 1.02042i | −0.0722506 | + | 0.0340709i | ||||
\(898\) | −4.50159 | − | 7.79699i | −0.150220 | − | 0.260189i | ||||
\(899\) | −4.08717 | + | 0.194696i | −0.136315 | + | 0.00649347i | ||||
\(900\) | −7.07968 | + | 19.1497i | −0.235989 | + | 0.638322i | ||||
\(901\) | −4.21895 | + | 0.402861i | −0.140554 | + | 0.0134212i | ||||
\(902\) | 19.3481 | − | 5.68110i | 0.644220 | − | 0.189160i | ||||
\(903\) | −8.24640 | + | 6.90209i | −0.274423 | + | 0.229687i | ||||
\(904\) | 6.35899 | − | 5.51010i | 0.211497 | − | 0.183263i | ||||
\(905\) | 20.8802 | + | 26.5514i | 0.694082 | + | 0.882597i | ||||
\(906\) | −3.69109 | − | 27.7279i | −0.122628 | − | 0.921198i | ||||
\(907\) | 30.3877 | − | 10.5173i | 1.00901 | − | 0.349220i | 0.227944 | − | 0.973674i | \(-0.426800\pi\) |
0.781062 | + | 0.624454i | \(0.214678\pi\) | |||||||
\(908\) | 0.393524 | − | 8.26109i | 0.0130596 | − | 0.274154i | ||||
\(909\) | 25.6464 | + | 6.79282i | 0.850639 | + | 0.225304i | ||||
\(910\) | −2.57414 | + | 0.478392i | −0.0853320 | + | 0.0158585i | ||||
\(911\) | 49.7237 | + | 14.6002i | 1.64742 | + | 0.483726i | 0.968193 | − | 0.250204i | \(-0.0804977\pi\) |
0.679225 | + | 0.733930i | \(0.262316\pi\) | |||||||
\(912\) | 0.480677 | + | 12.9362i | 0.0159168 | + | 0.428361i | ||||
\(913\) | 47.3009 | − | 9.11651i | 1.56543 | − | 0.301712i | ||||
\(914\) | −12.1723 | − | 1.16232i | −0.402625 | − | 0.0384460i | ||||
\(915\) | −77.6905 | + | 14.1325i | −2.56837 | + | 0.467205i | ||||
\(916\) | −2.23075 | − | 1.01875i | −0.0737062 | − | 0.0336605i | ||||
\(917\) | −1.76703 | − | 7.50121i | −0.0583526 | − | 0.247712i | ||||
\(918\) | 22.2038 | − | 5.76951i | 0.732836 | − | 0.190422i | ||||
\(919\) | −28.3571 | + | 16.3720i | −0.935416 | + | 0.540063i | −0.888520 | − | 0.458837i | \(-0.848266\pi\) |
−0.0468955 | + | 0.998900i | \(0.514933\pi\) | |||||||
\(920\) | −15.9212 | + | 4.24737i | −0.524908 | + | 0.140032i | ||||
\(921\) | 0.273671 | − | 0.121538i | 0.00901776 | − | 0.00400482i | ||||
\(922\) | 8.01802 | + | 4.13358i | 0.264059 | + | 0.136132i | ||||
\(923\) | −1.40040 | − | 0.201348i | −0.0460949 | − | 0.00662744i | ||||
\(924\) | −20.8298 | + | 7.92824i | −0.685251 | + | 0.260820i | ||||
\(925\) | 12.8176 | + | 43.6528i | 0.421441 | + | 1.43530i | ||||
\(926\) | 1.76096 | + | 1.25398i | 0.0578689 | + | 0.0412082i | ||||
\(927\) | −27.7357 | + | 15.2487i | −0.910961 | + | 0.500834i | ||||
\(928\) | −2.17960 | − | 0.872581i | −0.0715489 | − | 0.0286439i | ||||
\(929\) | 46.2621 | − | 11.2231i | 1.51781 | − | 0.368217i | 0.611642 | − | 0.791135i | \(-0.290509\pi\) |
0.906168 | + | 0.422918i | \(0.138994\pi\) | |||||||
\(930\) | 2.33972 | + | 10.1046i | 0.0767224 | + | 0.331343i | ||||
\(931\) | 49.2078 | + | 17.7674i | 1.61272 | + | 0.582303i | ||||
\(932\) | −6.18243 | + | 9.62004i | −0.202512 | + | 0.315115i | ||||
\(933\) | 16.6747 | − | 15.5696i | 0.545904 | − | 0.509725i | ||||
\(934\) | −17.8800 | − | 18.7520i | −0.585052 | − | 0.613585i | ||||
\(935\) | −68.4936 | − | 27.4207i | −2.23998 | − | 0.896753i | ||||
\(936\) | −0.0180737 | + | 0.863856i | −0.000590758 | + | 0.0282360i | ||||
\(937\) | 3.76464 | − | 1.71925i | 0.122985 | − | 0.0561655i | −0.352972 | − | 0.935634i | \(-0.614829\pi\) |
0.475957 | + | 0.879468i | \(0.342102\pi\) | |||||||
\(938\) | 20.6283 | − | 2.82600i | 0.673537 | − | 0.0922722i | ||||
\(939\) | 20.7302 | + | 36.7891i | 0.676504 | + | 1.20057i | ||||
\(940\) | −17.2790 | − | 43.1609i | −0.563580 | − | 1.40775i | ||||
\(941\) | 1.70582 | + | 35.8095i | 0.0556080 | + | 1.16736i | 0.838394 | + | 0.545065i | \(0.183495\pi\) |
−0.782786 | + | 0.622291i | \(0.786202\pi\) | |||||||
\(942\) | 15.9196 | − | 7.06994i | 0.518688 | − | 0.230351i | ||||
\(943\) | −18.2700 | − | 7.84741i | −0.594955 | − | 0.255547i | ||||
\(944\) | 3.93118i | 0.127949i | ||||||||
\(945\) | 38.2133 | − | 27.7665i | 1.24308 | − | 0.903245i | ||||
\(946\) | 1.62425 | − | 11.2969i | 0.0528088 | − | 0.367294i | ||||
\(947\) | −0.511237 | − | 5.35392i | −0.0166130 | − | 0.173979i | 0.983357 | − | 0.181682i | \(-0.0581541\pi\) |
−0.999970 | + | 0.00770296i | \(0.997548\pi\) | |||||||
\(948\) | −7.07190 | − | 8.33601i | −0.229685 | − | 0.270741i | ||||
\(949\) | −2.42204 | − | 0.231277i | −0.0786229 | − | 0.00750757i | ||||
\(950\) | −16.6358 | + | 48.0659i | −0.539736 | + | 1.55947i | ||||
\(951\) | 34.2831 | + | 18.1305i | 1.11171 | + | 0.587923i | ||||
\(952\) | 6.71226 | + | 9.55998i | 0.217546 | + | 0.309841i | ||||
\(953\) | 22.2398 | − | 25.6661i | 0.720417 | − | 0.831405i | −0.270940 | − | 0.962596i | \(-0.587335\pi\) |
0.991357 | + | 0.131191i | \(0.0418801\pi\) | |||||||
\(954\) | 0.753358 | + | 2.77951i | 0.0243909 | + | 0.0899901i | ||||
\(955\) | −80.6303 | + | 41.5678i | −2.60914 | + | 1.34510i | ||||
\(956\) | 0.766170 | − | 0.265174i | 0.0247797 | − | 0.00857635i | ||||
\(957\) | −18.2829 | − | 7.54220i | −0.591003 | − | 0.243805i | ||||
\(958\) | −5.65073 | + | 0.812453i | −0.182567 | + | 0.0262492i | ||||
\(959\) | 15.7591 | − | 0.645680i | 0.508887 | − | 0.0208501i | ||||
\(960\) | −1.18733 | + | 5.83153i | −0.0383208 | + | 0.188212i | ||||
\(961\) | −20.2374 | − | 19.2963i | −0.652820 | − | 0.622463i | ||||
\(962\) | 1.11686 | + | 1.56841i | 0.0360089 | + | 0.0505674i | ||||
\(963\) | 7.14617 | − | 19.3295i | 0.230282 | − | 0.622885i | ||||
\(964\) | −0.587564 | + | 1.13971i | −0.0189242 | + | 0.0367077i | ||||
\(965\) | 0.339553 | 0.0109306 | ||||||||
\(966\) | 20.8084 | + | 7.07179i | 0.669499 | + | 0.227531i | ||||
\(967\) | −42.3934 | −1.36328 | −0.681640 | − | 0.731688i | \(-0.738733\pi\) | ||||
−0.681640 | + | 0.731688i | \(0.738733\pi\) | |||||||
\(968\) | 5.79849 | − | 11.2475i | 0.186371 | − | 0.361508i | ||||
\(969\) | 55.0036 | − | 15.5275i | 1.76697 | − | 0.498815i | ||||
\(970\) | −3.30241 | − | 4.63759i | −0.106034 | − | 0.148904i | ||||
\(971\) | −33.3759 | − | 31.8239i | −1.07108 | − | 1.02128i | −0.999716 | − | 0.0238275i | \(-0.992415\pi\) |
−0.0713689 | − | 0.997450i | \(-0.522737\pi\) | |||||||
\(972\) | −6.40899 | − | 14.2100i | −0.205569 | − | 0.455787i | ||||
\(973\) | 25.0989 | + | 39.6318i | 0.804635 | + | 1.27054i | ||||
\(974\) | −35.6486 | + | 5.12549i | −1.14225 | + | 0.164231i | ||||
\(975\) | −1.29468 | + | 3.13840i | −0.0414628 | + | 0.100509i | ||||
\(976\) | −12.5391 | + | 4.33983i | −0.401367 | + | 0.138914i | ||||
\(977\) | 7.63609 | − | 3.93668i | 0.244300 | − | 0.125945i | −0.331729 | − | 0.943375i | \(-0.607632\pi\) |
0.576029 | + | 0.817429i | \(0.304602\pi\) | |||||||
\(978\) | 14.0923 | + | 11.3229i | 0.450623 | + | 0.362066i | ||||
\(979\) | 56.9573 | − | 65.7322i | 1.82036 | − | 2.10081i | ||||
\(980\) | 20.0586 | + | 13.2711i | 0.640747 | + | 0.423931i | ||||
\(981\) | −19.4788 | − | 39.8066i | −0.621910 | − | 1.27093i | ||||
\(982\) | −2.48901 | + | 7.19153i | −0.0794276 | + | 0.229491i | ||||
\(983\) | −26.5307 | − | 2.53337i | −0.846197 | − | 0.0808020i | −0.337055 | − | 0.941485i | \(-0.609431\pi\) |
−0.509142 | + | 0.860683i | \(0.670037\pi\) | |||||||
\(984\) | −5.47614 | + | 4.64572i | −0.174573 | + | 0.148100i | ||||
\(985\) | 7.02878 | + | 73.6087i | 0.223955 | + | 2.34537i | ||||
\(986\) | −1.47517 | + | 10.2600i | −0.0469789 | + | 0.326745i | ||||
\(987\) | −12.7749 | + | 60.6765i | −0.406628 | + | 1.93135i | ||||
\(988\) | 2.15259i | 0.0684831i | ||||||||
\(989\) | −8.33581 | + | 7.56107i | −0.265063 | + | 0.240428i | ||||
\(990\) | −10.5152 | + | 49.0171i | −0.334195 | + | 1.55786i | ||||
\(991\) | 0.398109 | + | 8.35735i | 0.0126464 | + | 0.265480i | 0.996331 | + | 0.0855800i | \(0.0272743\pi\) |
−0.983685 | + | 0.179900i | \(0.942423\pi\) | |||||||
\(992\) | 0.647749 | + | 1.61800i | 0.0205660 | + | 0.0513715i | ||||
\(993\) | 41.5053 | − | 23.3877i | 1.31713 | − | 0.742186i | ||||
\(994\) | 7.96585 | + | 10.2692i | 0.252662 | + | 0.325720i | ||||
\(995\) | −40.9341 | + | 18.6940i | −1.29770 | + | 0.592639i | ||||
\(996\) | −14.0775 | + | 9.80430i | −0.446064 | + | 0.310661i | ||||
\(997\) | −51.4933 | − | 20.6148i | −1.63081 | − | 0.652877i | −0.637723 | − | 0.770266i | \(-0.720123\pi\) |
−0.993086 | + | 0.117389i | \(0.962548\pi\) | |||||||
\(998\) | 3.40353 | + | 3.56952i | 0.107737 | + | 0.112991i | ||||
\(999\) | −30.3610 | − | 16.8783i | −0.960579 | − | 0.534006i |
(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 | 966.2.bf.a.11.20 | ✓ | 1280 | |
3.2 | odd | 2 | inner | 966.2.bf.a.11.64 | yes | 1280 | |
7.2 | even | 3 | inner | 966.2.bf.a.149.35 | yes | 1280 | |
21.2 | odd | 6 | inner | 966.2.bf.a.149.11 | yes | 1280 | |
23.21 | odd | 22 | inner | 966.2.bf.a.389.11 | yes | 1280 | |
69.44 | even | 22 | inner | 966.2.bf.a.389.35 | yes | 1280 | |
161.44 | odd | 66 | inner | 966.2.bf.a.527.64 | yes | 1280 | |
483.44 | even | 66 | inner | 966.2.bf.a.527.20 | yes | 1280 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.bf.a.11.20 | ✓ | 1280 | 1.1 | even | 1 | trivial | |
966.2.bf.a.11.64 | yes | 1280 | 3.2 | odd | 2 | inner | |
966.2.bf.a.149.11 | yes | 1280 | 21.2 | odd | 6 | inner | |
966.2.bf.a.149.35 | yes | 1280 | 7.2 | even | 3 | inner | |
966.2.bf.a.389.11 | yes | 1280 | 23.21 | odd | 22 | inner | |
966.2.bf.a.389.35 | yes | 1280 | 69.44 | even | 22 | inner | |
966.2.bf.a.527.20 | yes | 1280 | 483.44 | even | 66 | inner | |
966.2.bf.a.527.64 | yes | 1280 | 161.44 | odd | 66 | inner |