Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(29,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 9, 17]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bf (of order \(18\), degree \(6\), 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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 29.35 | ||
Character | \(\chi\) | \(=\) | 570.29 |
Dual form | 570.2.bf.a.59.35 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{17}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.984808 | − | 0.173648i | 0.696364 | − | 0.122788i | ||||
\(3\) | 1.20820 | − | 1.24107i | 0.697555 | − | 0.716531i | ||||
\(4\) | 0.939693 | − | 0.342020i | 0.469846 | − | 0.171010i | ||||
\(5\) | 2.18236 | − | 0.487123i | 0.975983 | − | 0.217848i | ||||
\(6\) | 0.974336 | − | 1.43202i | 0.397771 | − | 0.584618i | ||||
\(7\) | 1.28021 | + | 0.739129i | 0.483874 | + | 0.279365i | 0.722029 | − | 0.691862i | \(-0.243210\pi\) |
−0.238156 | + | 0.971227i | \(0.576543\pi\) | |||||||
\(8\) | 0.866025 | − | 0.500000i | 0.306186 | − | 0.176777i | ||||
\(9\) | −0.0805041 | − | 2.99892i | −0.0268347 | − | 0.999640i | ||||
\(10\) | 2.06462 | − | 0.858686i | 0.652890 | − | 0.271540i | ||||
\(11\) | −2.81878 | + | 1.62742i | −0.849893 | + | 0.490686i | −0.860615 | − | 0.509257i | \(-0.829920\pi\) |
0.0107218 | + | 0.999943i | \(0.496587\pi\) | |||||||
\(12\) | 0.710866 | − | 1.57945i | 0.205209 | − | 0.455949i | ||||
\(13\) | −3.29541 | − | 2.76518i | −0.913982 | − | 0.766922i | 0.0588900 | − | 0.998264i | \(-0.481244\pi\) |
−0.972872 | + | 0.231342i | \(0.925688\pi\) | |||||||
\(14\) | 1.38911 | + | 0.505594i | 0.371255 | + | 0.135126i | ||||
\(15\) | 2.03218 | − | 3.29701i | 0.524706 | − | 0.851283i | ||||
\(16\) | 0.766044 | − | 0.642788i | 0.191511 | − | 0.160697i | ||||
\(17\) | 0.748773 | + | 4.24650i | 0.181604 | + | 1.02993i | 0.930241 | + | 0.366949i | \(0.119597\pi\) |
−0.748637 | + | 0.662980i | \(0.769291\pi\) | |||||||
\(18\) | −0.600038 | − | 2.93938i | −0.141430 | − | 0.692818i | ||||
\(19\) | 1.45278 | + | 4.10968i | 0.333290 | + | 0.942824i | ||||
\(20\) | 1.88415 | − | 1.20416i | 0.421308 | − | 0.269258i | ||||
\(21\) | 2.46406 | − | 0.695812i | 0.537702 | − | 0.151839i | ||||
\(22\) | −2.49335 | + | 2.09217i | −0.531585 | + | 0.446053i | ||||
\(23\) | −7.23936 | + | 2.63491i | −1.50951 | + | 0.549417i | −0.958503 | − | 0.285083i | \(-0.907979\pi\) |
−0.551008 | + | 0.834500i | \(0.685757\pi\) | |||||||
\(24\) | 0.425798 | − | 1.67890i | 0.0869156 | − | 0.342703i | ||||
\(25\) | 4.52542 | − | 2.12616i | 0.905084 | − | 0.425232i | ||||
\(26\) | −3.72551 | − | 2.15093i | −0.730633 | − | 0.421831i | ||||
\(27\) | −3.81913 | − | 3.52338i | −0.734992 | − | 0.678076i | ||||
\(28\) | 1.45580 | + | 0.256697i | 0.275120 | + | 0.0485112i | ||||
\(29\) | −0.791685 | + | 4.48987i | −0.147012 | + | 0.833748i | 0.818717 | + | 0.574197i | \(0.194686\pi\) |
−0.965729 | + | 0.259551i | \(0.916426\pi\) | |||||||
\(30\) | 1.42879 | − | 3.59980i | 0.260860 | − | 0.657231i | ||||
\(31\) | 2.19798 | + | 1.26901i | 0.394769 | + | 0.227920i | 0.684225 | − | 0.729271i | \(-0.260141\pi\) |
−0.289455 | + | 0.957192i | \(0.593474\pi\) | |||||||
\(32\) | 0.642788 | − | 0.766044i | 0.113630 | − | 0.135419i | ||||
\(33\) | −1.38590 | + | 5.46455i | −0.241255 | + | 0.951255i | ||||
\(34\) | 1.47480 | + | 4.05197i | 0.252925 | + | 0.694907i | ||||
\(35\) | 3.15393 | + | 0.989429i | 0.533111 | + | 0.167244i | ||||
\(36\) | −1.10134 | − | 2.79053i | −0.183557 | − | 0.465088i | ||||
\(37\) | −4.11020 | −0.675713 | −0.337857 | − | 0.941198i | \(-0.609702\pi\) | ||||
−0.337857 | + | 0.941198i | \(0.609702\pi\) | |||||||
\(38\) | 2.14434 | + | 3.79497i | 0.347858 | + | 0.615625i | ||||
\(39\) | −7.41329 | + | 0.748943i | −1.18708 | + | 0.119927i | ||||
\(40\) | 1.64642 | − | 1.51304i | 0.260322 | − | 0.239233i | ||||
\(41\) | 1.02830 | − | 0.862846i | 0.160593 | − | 0.134754i | −0.558950 | − | 0.829201i | \(-0.688796\pi\) |
0.719543 | + | 0.694448i | \(0.244351\pi\) | |||||||
\(42\) | 2.30580 | − | 1.11312i | 0.355792 | − | 0.171758i | ||||
\(43\) | 2.81406 | − | 7.73157i | 0.429140 | − | 1.17905i | −0.517195 | − | 0.855867i | \(-0.673024\pi\) |
0.946335 | − | 0.323186i | \(-0.104754\pi\) | |||||||
\(44\) | −2.09217 | + | 2.49335i | −0.315407 | + | 0.375887i | ||||
\(45\) | −1.63653 | − | 6.50552i | −0.243960 | − | 0.969785i | ||||
\(46\) | −6.67183 | + | 3.85198i | −0.983708 | + | 0.567944i | ||||
\(47\) | 2.06260 | − | 11.6976i | 0.300861 | − | 1.70627i | −0.341513 | − | 0.939877i | \(-0.610939\pi\) |
0.642374 | − | 0.766391i | \(-0.277949\pi\) | |||||||
\(48\) | 0.127791 | − | 1.72733i | 0.0184451 | − | 0.249319i | ||||
\(49\) | −2.40738 | − | 4.16970i | −0.343911 | − | 0.595671i | ||||
\(50\) | 4.08747 | − | 2.87969i | 0.578055 | − | 0.407250i | ||||
\(51\) | 6.17487 | + | 4.20135i | 0.864655 | + | 0.588306i | ||||
\(52\) | −4.04242 | − | 1.47132i | −0.560583 | − | 0.204035i | ||||
\(53\) | −0.503212 | − | 1.38256i | −0.0691214 | − | 0.189910i | 0.900322 | − | 0.435224i | \(-0.143331\pi\) |
−0.969443 | + | 0.245315i | \(0.921109\pi\) | |||||||
\(54\) | −4.37294 | − | 2.80667i | −0.595082 | − | 0.381940i | ||||
\(55\) | −5.35884 | + | 4.92472i | −0.722586 | + | 0.664049i | ||||
\(56\) | 1.47826 | 0.197541 | ||||||||
\(57\) | 6.85564 | + | 3.16232i | 0.908051 | + | 0.418859i | ||||
\(58\) | 4.55913i | 0.598643i | ||||||||
\(59\) | 2.10421 | + | 11.9336i | 0.273945 | + | 1.55362i | 0.742293 | + | 0.670075i | \(0.233738\pi\) |
−0.468349 | + | 0.883544i | \(0.655151\pi\) | |||||||
\(60\) | 0.781981 | − | 3.79322i | 0.100953 | − | 0.489702i | ||||
\(61\) | 8.53541 | − | 3.10664i | 1.09285 | − | 0.397764i | 0.268173 | − | 0.963371i | \(-0.413580\pi\) |
0.824675 | + | 0.565607i | \(0.191358\pi\) | |||||||
\(62\) | 2.38495 | + | 0.868051i | 0.302889 | + | 0.110243i | ||||
\(63\) | 2.11353 | − | 3.89875i | 0.266279 | − | 0.491196i | ||||
\(64\) | 0.500000 | − | 0.866025i | 0.0625000 | − | 0.108253i | ||||
\(65\) | −8.53877 | − | 4.42935i | −1.05910 | − | 0.549394i | ||||
\(66\) | −0.415941 | + | 5.62219i | −0.0511988 | + | 0.692043i | ||||
\(67\) | −2.31594 | + | 13.1344i | −0.282937 | + | 1.60462i | 0.429625 | + | 0.903008i | \(0.358646\pi\) |
−0.712562 | + | 0.701609i | \(0.752465\pi\) | |||||||
\(68\) | 2.15601 | + | 3.73431i | 0.261454 | + | 0.452852i | ||||
\(69\) | −5.47649 | + | 12.1680i | −0.659292 | + | 1.46486i | ||||
\(70\) | 3.27783 | + | 0.426723i | 0.391775 | + | 0.0510032i | ||||
\(71\) | 2.08000 | + | 0.757058i | 0.246850 | + | 0.0898462i | 0.462482 | − | 0.886629i | \(-0.346959\pi\) |
−0.215632 | + | 0.976475i | \(0.569181\pi\) | |||||||
\(72\) | −1.56918 | − | 2.55689i | −0.184929 | − | 0.301332i | ||||
\(73\) | −7.62144 | − | 9.08287i | −0.892022 | − | 1.06307i | −0.997640 | − | 0.0686633i | \(-0.978127\pi\) |
0.105618 | − | 0.994407i | \(-0.466318\pi\) | |||||||
\(74\) | −4.04776 | + | 0.713729i | −0.470542 | + | 0.0829693i | ||||
\(75\) | 2.82891 | − | 8.18519i | 0.326654 | − | 0.945144i | ||||
\(76\) | 2.77076 | + | 3.36495i | 0.317827 | + | 0.385987i | ||||
\(77\) | −4.81150 | −0.548321 | ||||||||
\(78\) | −7.17062 | + | 2.02487i | −0.811912 | + | 0.229271i | ||||
\(79\) | 4.55951 | + | 5.43381i | 0.512985 | + | 0.611351i | 0.958907 | − | 0.283720i | \(-0.0915687\pi\) |
−0.445922 | + | 0.895072i | \(0.647124\pi\) | |||||||
\(80\) | 1.35867 | − | 1.77595i | 0.151904 | − | 0.198558i | ||||
\(81\) | −8.98704 | + | 0.482851i | −0.998560 | + | 0.0536501i | ||||
\(82\) | 0.862846 | − | 1.02830i | 0.0952854 | − | 0.113557i | ||||
\(83\) | −1.29300 | + | 2.23955i | −0.141926 | + | 0.245823i | −0.928222 | − | 0.372027i | \(-0.878663\pi\) |
0.786296 | + | 0.617850i | \(0.211996\pi\) | |||||||
\(84\) | 2.07748 | − | 1.49661i | 0.226671 | − | 0.163293i | ||||
\(85\) | 3.70267 | + | 8.90267i | 0.401611 | + | 0.965630i | ||||
\(86\) | 1.42874 | − | 8.10277i | 0.154065 | − | 0.873744i | ||||
\(87\) | 4.61572 | + | 6.40720i | 0.494857 | + | 0.686923i | ||||
\(88\) | −1.62742 | + | 2.81878i | −0.173484 | + | 0.300483i | ||||
\(89\) | −3.44561 | − | 2.89121i | −0.365234 | − | 0.306467i | 0.441639 | − | 0.897193i | \(-0.354397\pi\) |
−0.806873 | + | 0.590725i | \(0.798842\pi\) | |||||||
\(90\) | −2.74134 | − | 6.12250i | −0.288963 | − | 0.645369i | ||||
\(91\) | −2.17499 | − | 5.97574i | −0.228001 | − | 0.626428i | ||||
\(92\) | −5.90158 | + | 4.95202i | −0.615282 | + | 0.516283i | ||||
\(93\) | 4.23053 | − | 1.19463i | 0.438685 | − | 0.123878i | ||||
\(94\) | − | 11.8780i | − | 1.22513i | ||||||
\(95\) | 5.17241 | + | 8.26113i | 0.530678 | + | 0.847574i | ||||
\(96\) | −0.174098 | − | 1.72328i | −0.0177688 | − | 0.175881i | ||||
\(97\) | 1.63353 | + | 9.26423i | 0.165860 | + | 0.940640i | 0.948173 | + | 0.317754i | \(0.102929\pi\) |
−0.782313 | + | 0.622886i | \(0.785960\pi\) | |||||||
\(98\) | −3.09486 | − | 3.68831i | −0.312628 | − | 0.372576i | ||||
\(99\) | 5.10743 | + | 8.32227i | 0.513316 | + | 0.836419i | ||||
\(100\) | 3.52532 | − | 3.54572i | 0.352532 | − | 0.354572i | ||||
\(101\) | 6.36950 | − | 7.59088i | 0.633789 | − | 0.755321i | −0.349586 | − | 0.936904i | \(-0.613678\pi\) |
0.983376 | + | 0.181584i | \(0.0581223\pi\) | |||||||
\(102\) | 6.81062 | + | 3.06527i | 0.674352 | + | 0.303506i | ||||
\(103\) | 8.07822 | + | 13.9919i | 0.795971 | + | 1.37866i | 0.922221 | + | 0.386663i | \(0.126372\pi\) |
−0.126250 | + | 0.991998i | \(0.540294\pi\) | |||||||
\(104\) | −4.23650 | − | 0.747009i | −0.415423 | − | 0.0732503i | ||||
\(105\) | 5.03853 | − | 2.71882i | 0.491710 | − | 0.265329i | ||||
\(106\) | −0.735646 | − | 1.27418i | −0.0714523 | − | 0.123759i | ||||
\(107\) | −9.45606 | − | 5.45946i | −0.914152 | − | 0.527786i | −0.0323873 | − | 0.999475i | \(-0.510311\pi\) |
−0.881765 | + | 0.471689i | \(0.843644\pi\) | |||||||
\(108\) | −4.79388 | − | 2.00468i | −0.461291 | − | 0.192900i | ||||
\(109\) | −1.84788 | + | 5.07700i | −0.176995 | + | 0.486289i | −0.996188 | − | 0.0872281i | \(-0.972199\pi\) |
0.819194 | + | 0.573517i | \(0.194421\pi\) | |||||||
\(110\) | −4.42226 | + | 5.78045i | −0.421646 | + | 0.551144i | ||||
\(111\) | −4.96595 | + | 5.10104i | −0.471347 | + | 0.484170i | ||||
\(112\) | 1.45580 | − | 0.256697i | 0.137560 | − | 0.0242556i | ||||
\(113\) | − | 12.3088i | − | 1.15792i | −0.815357 | − | 0.578959i | \(-0.803459\pi\) | ||
0.815357 | − | 0.578959i | \(-0.196541\pi\) | |||||||
\(114\) | 7.30061 | + | 1.92381i | 0.683765 | + | 0.180181i | ||||
\(115\) | −14.5154 | + | 9.27680i | −1.35357 | + | 0.865066i | ||||
\(116\) | 0.791685 | + | 4.48987i | 0.0735061 | + | 0.416874i | ||||
\(117\) | −8.02725 | + | 10.1053i | −0.742120 | + | 0.934233i | ||||
\(118\) | 4.14449 | + | 11.3869i | 0.381531 | + | 1.04825i | ||||
\(119\) | −2.18013 | + | 5.98986i | −0.199852 | + | 0.549089i | ||||
\(120\) | 0.111416 | − | 3.87138i | 0.0101708 | − | 0.353407i | ||||
\(121\) | −0.203002 | + | 0.351609i | −0.0184547 | + | 0.0319645i | ||||
\(122\) | 7.86628 | − | 4.54160i | 0.712180 | − | 0.411177i | ||||
\(123\) | 0.171541 | − | 2.31868i | 0.0154673 | − | 0.209068i | ||||
\(124\) | 2.49945 | + | 0.440721i | 0.224457 | + | 0.0395779i | ||||
\(125\) | 8.84041 | − | 6.84449i | 0.790711 | − | 0.612190i | ||||
\(126\) | 1.40441 | − | 4.20653i | 0.125115 | − | 0.374747i | ||||
\(127\) | −0.979491 | − | 0.821891i | −0.0869158 | − | 0.0729310i | 0.598295 | − | 0.801276i | \(-0.295845\pi\) |
−0.685210 | + | 0.728345i | \(0.740290\pi\) | |||||||
\(128\) | 0.342020 | − | 0.939693i | 0.0302306 | − | 0.0830579i | ||||
\(129\) | −6.19546 | − | 12.8337i | −0.545480 | − | 1.12995i | ||||
\(130\) | −9.17819 | − | 2.87932i | −0.804981 | − | 0.252533i | ||||
\(131\) | 10.3496 | − | 1.82492i | 0.904252 | − | 0.159444i | 0.297860 | − | 0.954610i | \(-0.403727\pi\) |
0.606392 | + | 0.795166i | \(0.292616\pi\) | |||||||
\(132\) | 0.566661 | + | 5.60900i | 0.0493215 | + | 0.488201i | ||||
\(133\) | −1.17772 | + | 6.33504i | −0.102122 | + | 0.549317i | ||||
\(134\) | 13.3370i | 1.15214i | ||||||||
\(135\) | −10.0511 | − | 5.82892i | −0.865057 | − | 0.501673i | ||||
\(136\) | 2.77171 | + | 3.30319i | 0.237672 | + | 0.283247i | ||||
\(137\) | −6.87090 | + | 2.50080i | −0.587021 | + | 0.213658i | −0.618419 | − | 0.785849i | \(-0.712226\pi\) |
0.0313977 | + | 0.999507i | \(0.490004\pi\) | |||||||
\(138\) | −3.28033 | + | 12.9342i | −0.279240 | + | 1.10103i | ||||
\(139\) | −0.409647 | − | 0.343735i | −0.0347458 | − | 0.0291552i | 0.625249 | − | 0.780425i | \(-0.284997\pi\) |
−0.659995 | + | 0.751270i | \(0.729442\pi\) | |||||||
\(140\) | 3.30213 | − | 0.148948i | 0.279081 | − | 0.0125884i | ||||
\(141\) | −12.0255 | − | 16.6929i | −1.01273 | − | 1.40579i | ||||
\(142\) | 2.17986 | + | 0.384368i | 0.182930 | + | 0.0322555i | ||||
\(143\) | 13.7891 | + | 2.43140i | 1.15311 | + | 0.203324i | ||||
\(144\) | −1.98934 | − | 2.24556i | −0.165778 | − | 0.187130i | ||||
\(145\) | 0.459374 | + | 10.1842i | 0.0381490 | + | 0.845750i | ||||
\(146\) | −9.08287 | − | 7.62144i | −0.751704 | − | 0.630755i | ||||
\(147\) | −8.08347 | − | 2.05011i | −0.666714 | − | 0.169090i | ||||
\(148\) | −3.86233 | + | 1.40577i | −0.317481 | + | 0.115554i | ||||
\(149\) | −2.54088 | − | 3.02810i | −0.208157 | − | 0.248072i | 0.651857 | − | 0.758342i | \(-0.273990\pi\) |
−0.860014 | + | 0.510270i | \(0.829546\pi\) | |||||||
\(150\) | 1.36459 | − | 8.55207i | 0.111418 | − | 0.698274i | ||||
\(151\) | − | 4.79732i | − | 0.390400i | −0.980763 | − | 0.195200i | \(-0.937464\pi\) | ||
0.980763 | − | 0.195200i | \(-0.0625356\pi\) | |||||||
\(152\) | 3.31298 | + | 2.83270i | 0.268718 | + | 0.229762i | ||||
\(153\) | 12.6746 | − | 2.58737i | 1.02468 | − | 0.209177i | ||||
\(154\) | −4.73840 | + | 0.835508i | −0.381831 | + | 0.0673271i | ||||
\(155\) | 5.41496 | + | 1.69874i | 0.434940 | + | 0.136446i | ||||
\(156\) | −6.71006 | + | 3.23927i | −0.537235 | + | 0.259349i | ||||
\(157\) | −1.75281 | + | 4.81581i | −0.139890 | + | 0.384344i | −0.989778 | − | 0.142620i | \(-0.954447\pi\) |
0.849888 | + | 0.526963i | \(0.176670\pi\) | |||||||
\(158\) | 5.43381 | + | 4.55951i | 0.432291 | + | 0.362735i | ||||
\(159\) | −2.32384 | − | 1.04589i | −0.184292 | − | 0.0829446i | ||||
\(160\) | 1.02964 | − | 1.98490i | 0.0814001 | − | 0.156920i | ||||
\(161\) | −11.2154 | − | 1.97758i | −0.883901 | − | 0.155856i | ||||
\(162\) | −8.76666 | + | 2.03610i | −0.688774 | + | 0.159971i | ||||
\(163\) | 5.20311 | − | 3.00402i | 0.407539 | − | 0.235293i | −0.282193 | − | 0.959358i | \(-0.591062\pi\) |
0.689732 | + | 0.724065i | \(0.257728\pi\) | |||||||
\(164\) | 0.671175 | − | 1.16251i | 0.0524100 | − | 0.0907767i | ||||
\(165\) | −0.362640 | + | 12.6007i | −0.0282315 | + | 0.980966i | ||||
\(166\) | −0.884467 | + | 2.43005i | −0.0686480 | + | 0.188609i | ||||
\(167\) | −4.24497 | − | 11.6630i | −0.328486 | − | 0.902508i | −0.988495 | − | 0.151251i | \(-0.951670\pi\) |
0.660009 | − | 0.751257i | \(-0.270552\pi\) | |||||||
\(168\) | 1.78603 | − | 1.83462i | 0.137795 | − | 0.141544i | ||||
\(169\) | 0.956097 | + | 5.42229i | 0.0735459 | + | 0.417099i | ||||
\(170\) | 5.19235 | + | 8.12446i | 0.398235 | + | 0.623118i | ||||
\(171\) | 12.2076 | − | 4.68761i | 0.933541 | − | 0.358470i | ||||
\(172\) | − | 8.22777i | − | 0.627361i | ||||||
\(173\) | 4.05361 | − | 0.714761i | 0.308190 | − | 0.0543423i | −0.0174140 | − | 0.999848i | \(-0.505543\pi\) |
0.325604 | + | 0.945506i | \(0.394432\pi\) | |||||||
\(174\) | 5.65820 | + | 5.50834i | 0.428947 | + | 0.417586i | ||||
\(175\) | 7.36500 | + | 0.622942i | 0.556741 | + | 0.0470900i | ||||
\(176\) | −1.11322 | + | 3.05855i | −0.0839122 | + | 0.230547i | ||||
\(177\) | 17.3527 | + | 11.8067i | 1.30431 | + | 0.887444i | ||||
\(178\) | −3.89531 | − | 2.24896i | −0.291966 | − | 0.168567i | ||||
\(179\) | 2.65771 | + | 4.60328i | 0.198646 | + | 0.344066i | 0.948090 | − | 0.318003i | \(-0.103012\pi\) |
−0.749443 | + | 0.662068i | \(0.769679\pi\) | |||||||
\(180\) | −3.76286 | − | 5.55346i | −0.280467 | − | 0.413930i | ||||
\(181\) | −25.3198 | − | 4.46457i | −1.88201 | − | 0.331849i | −0.889791 | − | 0.456369i | \(-0.849150\pi\) |
−0.992217 | + | 0.124520i | \(0.960261\pi\) | |||||||
\(182\) | −3.17963 | − | 5.50727i | −0.235690 | − | 0.408226i | ||||
\(183\) | 6.45694 | − | 14.3465i | 0.477311 | − | 1.06052i | ||||
\(184\) | −4.95202 | + | 5.90158i | −0.365067 | + | 0.435070i | ||||
\(185\) | −8.96996 | + | 2.00217i | −0.659484 | + | 0.147203i | ||||
\(186\) | 3.95881 | − | 1.91111i | 0.290274 | − | 0.140129i | ||||
\(187\) | −9.02147 | − | 10.7514i | −0.659716 | − | 0.786218i | ||||
\(188\) | −2.06260 | − | 11.6976i | −0.150431 | − | 0.853134i | ||||
\(189\) | −2.28505 | − | 7.33350i | −0.166213 | − | 0.533434i | ||||
\(190\) | 6.52835 | + | 7.23744i | 0.473617 | + | 0.525059i | ||||
\(191\) | − | 11.5816i | − | 0.838015i | −0.907983 | − | 0.419007i | \(-0.862378\pi\) | ||
0.907983 | − | 0.419007i | \(-0.137622\pi\) | |||||||
\(192\) | −0.470697 | − | 1.66687i | −0.0339696 | − | 0.120296i | ||||
\(193\) | −0.0914143 | + | 0.0767057i | −0.00658015 | + | 0.00552140i | −0.646072 | − | 0.763277i | \(-0.723589\pi\) |
0.639492 | + | 0.768798i | \(0.279145\pi\) | |||||||
\(194\) | 3.21743 | + | 8.83982i | 0.230998 | + | 0.634662i | ||||
\(195\) | −15.8137 | + | 5.24565i | −1.13244 | + | 0.375649i | ||||
\(196\) | −3.68831 | − | 3.09486i | −0.263451 | − | 0.221062i | ||||
\(197\) | 10.0727 | − | 17.4464i | 0.717649 | − | 1.24301i | −0.244279 | − | 0.969705i | \(-0.578551\pi\) |
0.961929 | − | 0.273300i | \(-0.0881152\pi\) | |||||||
\(198\) | 6.47498 | + | 7.30894i | 0.460157 | + | 0.519424i | ||||
\(199\) | −4.04530 | + | 22.9420i | −0.286764 | + | 1.62632i | 0.412153 | + | 0.911115i | \(0.364777\pi\) |
−0.698917 | + | 0.715203i | \(0.746334\pi\) | |||||||
\(200\) | 2.85605 | − | 4.10402i | 0.201953 | − | 0.290198i | ||||
\(201\) | 13.5025 | + | 18.7432i | 0.952394 | + | 1.32204i | ||||
\(202\) | 4.95459 | − | 8.58161i | 0.348604 | − | 0.603800i | ||||
\(203\) | −4.33212 | + | 5.16281i | −0.304055 | + | 0.362359i | ||||
\(204\) | 7.23943 | + | 1.83605i | 0.506861 | + | 0.128549i | ||||
\(205\) | 1.82381 | − | 2.38395i | 0.127381 | − | 0.166502i | ||||
\(206\) | 10.3852 | + | 12.3766i | 0.723568 | + | 0.862315i | ||||
\(207\) | 8.48469 | + | 21.4981i | 0.589727 | + | 1.49422i | ||||
\(208\) | −4.30185 | −0.298280 | ||||||||
\(209\) | −10.7832 | − | 9.21998i | −0.745891 | − | 0.637759i | ||||
\(210\) | 4.48986 | − | 3.55244i | 0.309830 | − | 0.245142i | ||||
\(211\) | 24.9212 | − | 4.39428i | 1.71565 | − | 0.302515i | 0.772530 | − | 0.634978i | \(-0.218991\pi\) |
0.943116 | + | 0.332463i | \(0.107880\pi\) | |||||||
\(212\) | −0.945728 | − | 1.12708i | −0.0649529 | − | 0.0774078i | ||||
\(213\) | 3.45262 | − | 1.66674i | 0.236569 | − | 0.114203i | ||||
\(214\) | −10.2604 | − | 3.73449i | −0.701388 | − | 0.255285i | ||||
\(215\) | 2.37508 | − | 18.2439i | 0.161979 | − | 1.24422i | ||||
\(216\) | −5.06916 | − | 1.14177i | −0.344912 | − | 0.0776879i | ||||
\(217\) | 1.87592 | + | 3.24919i | 0.127346 | + | 0.220569i | ||||
\(218\) | −0.938193 | + | 5.32075i | −0.0635424 | + | 0.360367i | ||||
\(219\) | −20.4807 | − | 1.51520i | −1.38396 | − | 0.102388i | ||||
\(220\) | −3.35131 | + | 6.46055i | −0.225945 | + | 0.435570i | ||||
\(221\) | 9.27482 | − | 16.0645i | 0.623892 | − | 1.08061i | ||||
\(222\) | −4.00472 | + | 5.88588i | −0.268779 | + | 0.395034i | ||||
\(223\) | −22.3261 | − | 8.12604i | −1.49507 | − | 0.544160i | −0.540289 | − | 0.841479i | \(-0.681685\pi\) |
−0.954778 | + | 0.297319i | \(0.903907\pi\) | |||||||
\(224\) | 1.38911 | − | 0.505594i | 0.0928137 | − | 0.0337814i | ||||
\(225\) | −6.74050 | − | 13.4002i | −0.449366 | − | 0.893348i | ||||
\(226\) | −2.13741 | − | 12.1218i | −0.142178 | − | 0.806333i | ||||
\(227\) | 12.6657i | 0.840650i | 0.907374 | + | 0.420325i | \(0.138084\pi\) | ||||
−0.907374 | + | 0.420325i | \(0.861916\pi\) | |||||||
\(228\) | 7.52377 | + | 0.626840i | 0.498274 | + | 0.0415135i | ||||
\(229\) | 14.4298 | 0.953547 | 0.476773 | − | 0.879026i | \(-0.341806\pi\) | ||||
0.476773 | + | 0.879026i | \(0.341806\pi\) | |||||||
\(230\) | −12.6840 | + | 11.6564i | −0.836356 | + | 0.768602i | ||||
\(231\) | −5.81325 | + | 5.97140i | −0.382484 | + | 0.392889i | ||||
\(232\) | 1.55931 | + | 4.28418i | 0.102374 | + | 0.281270i | ||||
\(233\) | 2.30660 | + | 0.839533i | 0.151110 | + | 0.0549996i | 0.416468 | − | 0.909150i | \(-0.363268\pi\) |
−0.265358 | + | 0.964150i | \(0.585490\pi\) | |||||||
\(234\) | −6.15054 | + | 11.3457i | −0.402073 | + | 0.741690i | ||||
\(235\) | −1.19682 | − | 26.5331i | −0.0780720 | − | 1.73083i | ||||
\(236\) | 6.05883 | + | 10.4942i | 0.394396 | + | 0.683115i | ||||
\(237\) | 12.2525 | + | 0.906467i | 0.795887 | + | 0.0588814i | ||||
\(238\) | −1.10688 | + | 6.27743i | −0.0717484 | + | 0.406905i | ||||
\(239\) | −26.6345 | + | 15.3774i | −1.72284 | + | 0.994682i | −0.809922 | + | 0.586537i | \(0.800491\pi\) |
−0.912917 | + | 0.408145i | \(0.866176\pi\) | |||||||
\(240\) | −0.562535 | − | 3.83191i | −0.0363115 | − | 0.247349i | ||||
\(241\) | 3.73432 | − | 4.45039i | 0.240549 | − | 0.286675i | −0.632240 | − | 0.774772i | \(-0.717864\pi\) |
0.872789 | + | 0.488097i | \(0.162309\pi\) | |||||||
\(242\) | −0.138861 | + | 0.381518i | −0.00892634 | + | 0.0245249i | ||||
\(243\) | −10.2589 | + | 11.7369i | −0.658108 | + | 0.752923i | ||||
\(244\) | 6.95813 | − | 5.83857i | 0.445449 | − | 0.373776i | ||||
\(245\) | −7.28493 | − | 7.92711i | −0.465417 | − | 0.506444i | ||||
\(246\) | −0.233700 | − | 2.31324i | −0.0149002 | − | 0.147487i | ||||
\(247\) | 6.57649 | − | 17.5603i | 0.418452 | − | 1.11733i | ||||
\(248\) | 2.53801 | 0.161164 | ||||||||
\(249\) | 1.21723 | + | 4.31053i | 0.0771386 | + | 0.273169i | ||||
\(250\) | 7.51758 | − | 8.27563i | 0.475453 | − | 0.523397i | ||||
\(251\) | 6.20880 | + | 17.0585i | 0.391896 | + | 1.07672i | 0.966135 | + | 0.258037i | \(0.0830758\pi\) |
−0.574239 | + | 0.818688i | \(0.694702\pi\) | |||||||
\(252\) | 0.652615 | − | 4.38649i | 0.0411109 | − | 0.276323i | ||||
\(253\) | 16.1180 | − | 19.2087i | 1.01333 | − | 1.20764i | ||||
\(254\) | −1.10733 | − | 0.639317i | −0.0694801 | − | 0.0401143i | ||||
\(255\) | 15.5224 | + | 6.16095i | 0.972050 | + | 0.385813i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | −29.4280 | − | 5.18895i | −1.83567 | − | 0.323678i | −0.854890 | − | 0.518809i | \(-0.826376\pi\) |
−0.980777 | + | 0.195132i | \(0.937487\pi\) | |||||||
\(258\) | −8.32989 | − | 11.5629i | −0.518596 | − | 0.719876i | ||||
\(259\) | −5.26192 | − | 3.03797i | −0.326960 | − | 0.188770i | ||||
\(260\) | −9.53874 | − | 1.24180i | −0.591568 | − | 0.0770132i | ||||
\(261\) | 13.5285 | + | 2.01275i | 0.837392 | + | 0.124586i | ||||
\(262\) | 9.87551 | − | 3.59439i | 0.610111 | − | 0.222062i | ||||
\(263\) | 6.37410 | − | 5.34851i | 0.393044 | − | 0.329803i | −0.424754 | − | 0.905309i | \(-0.639639\pi\) |
0.817798 | + | 0.575506i | \(0.195195\pi\) | |||||||
\(264\) | 1.53204 | + | 5.42539i | 0.0942908 | + | 0.333910i | ||||
\(265\) | −1.77167 | − | 2.77213i | −0.108833 | − | 0.170290i | ||||
\(266\) | −0.0597642 | + | 6.44330i | −0.00366438 | + | 0.395064i | ||||
\(267\) | −7.75117 | + | 0.783078i | −0.474364 | + | 0.0479236i | ||||
\(268\) | 2.31594 | + | 13.1344i | 0.141469 | + | 0.802308i | ||||
\(269\) | 12.4453 | − | 10.4428i | 0.758802 | − | 0.636711i | −0.179013 | − | 0.983847i | \(-0.557290\pi\) |
0.937815 | + | 0.347136i | \(0.112846\pi\) | |||||||
\(270\) | −10.9105 | − | 3.99502i | −0.663994 | − | 0.243129i | ||||
\(271\) | −10.5460 | − | 3.83843i | −0.640624 | − | 0.233168i | 0.00122479 | − | 0.999999i | \(-0.499610\pi\) |
−0.641849 | + | 0.766831i | \(0.721832\pi\) | |||||||
\(272\) | 3.30319 | + | 2.77171i | 0.200286 | + | 0.168060i | ||||
\(273\) | −10.0441 | − | 4.52058i | −0.607899 | − | 0.273598i | ||||
\(274\) | −6.33226 | + | 3.65593i | −0.382546 | + | 0.220863i | ||||
\(275\) | −9.29599 | + | 13.3579i | −0.560570 | + | 0.805514i | ||||
\(276\) | −0.984501 | + | 13.3073i | −0.0592600 | + | 0.801005i | ||||
\(277\) | 16.8897 | − | 9.75128i | 1.01480 | − | 0.585898i | 0.102210 | − | 0.994763i | \(-0.467409\pi\) |
0.912595 | + | 0.408865i | \(0.134075\pi\) | |||||||
\(278\) | −0.463113 | − | 0.267378i | −0.0277757 | − | 0.0160363i | ||||
\(279\) | 3.62870 | − | 6.69373i | 0.217245 | − | 0.400743i | ||||
\(280\) | 3.22610 | − | 0.720094i | 0.192796 | − | 0.0430338i | ||||
\(281\) | −0.926183 | + | 0.337103i | −0.0552515 | + | 0.0201099i | −0.369498 | − | 0.929232i | \(-0.620470\pi\) |
0.314247 | + | 0.949341i | \(0.398248\pi\) | |||||||
\(282\) | −14.7415 | − | 14.3510i | −0.877841 | − | 0.854592i | ||||
\(283\) | 9.06457 | − | 1.59833i | 0.538833 | − | 0.0950107i | 0.102393 | − | 0.994744i | \(-0.467350\pi\) |
0.436440 | + | 0.899733i | \(0.356239\pi\) | |||||||
\(284\) | 2.21349 | 0.131346 | ||||||||
\(285\) | 16.5019 | + | 3.56179i | 0.977490 | + | 0.210982i | ||||
\(286\) | 14.0019 | 0.827947 | ||||||||
\(287\) | 1.95419 | − | 0.344577i | 0.115352 | − | 0.0203397i | ||||
\(288\) | −2.34905 | − | 1.86600i | −0.138419 | − | 0.109955i | ||||
\(289\) | −1.49736 | + | 0.544996i | −0.0880802 | + | 0.0320586i | ||||
\(290\) | 2.22086 | + | 9.94968i | 0.130413 | + | 0.584265i | ||||
\(291\) | 13.4712 | + | 9.16571i | 0.789694 | + | 0.537304i | ||||
\(292\) | −10.2683 | − | 5.92843i | −0.600909 | − | 0.346935i | ||||
\(293\) | 10.4808 | − | 6.05108i | 0.612294 | − | 0.353508i | −0.161569 | − | 0.986861i | \(-0.551655\pi\) |
0.773863 | + | 0.633354i | \(0.218322\pi\) | |||||||
\(294\) | −8.31667 | − | 0.615284i | −0.485038 | − | 0.0358841i | ||||
\(295\) | 10.4053 | + | 25.0184i | 0.605818 | + | 1.45663i | ||||
\(296\) | −3.55954 | + | 2.05510i | −0.206894 | + | 0.119450i | ||||
\(297\) | 16.4993 | + | 3.71630i | 0.957387 | + | 0.215641i | ||||
\(298\) | −3.02810 | − | 2.54088i | −0.175413 | − | 0.147189i | ||||
\(299\) | 31.1427 | + | 11.3350i | 1.80103 | + | 0.655520i | ||||
\(300\) | −0.141197 | − | 8.65910i | −0.00815204 | − | 0.499934i | ||||
\(301\) | 9.31722 | − | 7.81807i | 0.537036 | − | 0.450626i | ||||
\(302\) | −0.833045 | − | 4.72443i | −0.0479364 | − | 0.271861i | ||||
\(303\) | −1.72517 | − | 17.0763i | −0.0991083 | − | 0.981007i | ||||
\(304\) | 3.75454 | + | 2.21437i | 0.215338 | + | 0.127003i | ||||
\(305\) | 17.1141 | − | 10.9376i | 0.979948 | − | 0.626286i | ||||
\(306\) | 12.0328 | − | 4.74899i | 0.687869 | − | 0.271482i | ||||
\(307\) | 5.37432 | − | 4.50959i | 0.306729 | − | 0.257376i | −0.476410 | − | 0.879223i | \(-0.658062\pi\) |
0.783138 | + | 0.621848i | \(0.213618\pi\) | |||||||
\(308\) | −4.52133 | + | 1.64563i | −0.257627 | + | 0.0937684i | ||||
\(309\) | 27.1250 | + | 6.87937i | 1.54309 | + | 0.391354i | ||||
\(310\) | 5.62768 | + | 0.732638i | 0.319631 | + | 0.0416111i | ||||
\(311\) | −5.59973 | − | 3.23301i | −0.317532 | − | 0.183327i | 0.332760 | − | 0.943011i | \(-0.392020\pi\) |
−0.650292 | + | 0.759685i | \(0.725353\pi\) | |||||||
\(312\) | −6.04563 | + | 4.35525i | −0.342266 | + | 0.246567i | ||||
\(313\) | 13.0662 | + | 2.30393i | 0.738546 | + | 0.130226i | 0.530251 | − | 0.847841i | \(-0.322098\pi\) |
0.208295 | + | 0.978066i | \(0.433209\pi\) | |||||||
\(314\) | −0.889926 | + | 5.04702i | −0.0502214 | + | 0.284820i | ||||
\(315\) | 2.71331 | − | 9.53803i | 0.152878 | − | 0.537407i | ||||
\(316\) | 6.14301 | + | 3.54667i | 0.345571 | + | 0.199516i | ||||
\(317\) | 17.7824 | − | 21.1922i | 0.998758 | − | 1.19027i | 0.0170548 | − | 0.999855i | \(-0.494571\pi\) |
0.981703 | − | 0.190419i | \(-0.0609845\pi\) | |||||||
\(318\) | −2.47015 | − | 0.626473i | −0.138519 | − | 0.0351308i | ||||
\(319\) | −5.07532 | − | 13.9443i | −0.284164 | − | 0.780733i | ||||
\(320\) | 0.669321 | − | 2.13354i | 0.0374162 | − | 0.119269i | ||||
\(321\) | −18.2004 | + | 5.13950i | −1.01585 | + | 0.286859i | ||||
\(322\) | −11.3885 | −0.634654 | ||||||||
\(323\) | −16.3640 | + | 9.24644i | −0.910515 | + | 0.514486i | ||||
\(324\) | −8.27991 | + | 3.52748i | −0.459995 | + | 0.195971i | ||||
\(325\) | −20.7923 | − | 5.50703i | −1.15335 | − | 0.305475i | ||||
\(326\) | 4.60242 | − | 3.86189i | 0.254905 | − | 0.213890i | ||||
\(327\) | 4.06831 | + | 8.42738i | 0.224978 | + | 0.466035i | ||||
\(328\) | 0.459111 | − | 1.26140i | 0.0253502 | − | 0.0696490i | ||||
\(329\) | 11.2866 | − | 13.4508i | 0.622250 | − | 0.741568i | ||||
\(330\) | 1.83096 | + | 12.4723i | 0.100791 | + | 0.686576i | ||||
\(331\) | −19.1889 | + | 11.0787i | −1.05472 | + | 0.608941i | −0.923966 | − | 0.382475i | \(-0.875072\pi\) |
−0.130750 | + | 0.991415i | \(0.541739\pi\) | |||||||
\(332\) | −0.449056 | + | 2.54672i | −0.0246451 | + | 0.139770i | ||||
\(333\) | 0.330888 | + | 12.3262i | 0.0181326 | + | 0.675470i | ||||
\(334\) | −6.20574 | − | 10.7487i | −0.339563 | − | 0.588140i | ||||
\(335\) | 1.34382 | + | 29.7921i | 0.0734209 | + | 1.62772i | ||||
\(336\) | 1.44032 | − | 2.11689i | 0.0785759 | − | 0.115486i | ||||
\(337\) | −0.337706 | − | 0.122915i | −0.0183960 | − | 0.00669561i | 0.332806 | − | 0.942995i | \(-0.392005\pi\) |
−0.351202 | + | 0.936300i | \(0.614227\pi\) | |||||||
\(338\) | 1.88314 | + | 5.17389i | 0.102429 | + | 0.281423i | ||||
\(339\) | −15.2761 | − | 14.8715i | −0.829685 | − | 0.807711i | ||||
\(340\) | 6.52426 | + | 7.09939i | 0.353828 | + | 0.385018i | ||||
\(341\) | −8.26082 | −0.447349 | ||||||||
\(342\) | 11.2082 | − | 6.73622i | 0.606069 | − | 0.364253i | ||||
\(343\) | − | 17.4653i | − | 0.943035i | ||||||
\(344\) | −1.42874 | − | 8.10277i | −0.0770323 | − | 0.436872i | ||||
\(345\) | −6.02436 | + | 29.2228i | −0.324341 | + | 1.57330i | ||||
\(346\) | 3.86791 | − | 1.40780i | 0.207940 | − | 0.0756840i | ||||
\(347\) | −9.09244 | − | 3.30938i | −0.488108 | − | 0.177657i | 0.0862298 | − | 0.996275i | \(-0.472518\pi\) |
−0.574338 | + | 0.818619i | \(0.694740\pi\) | |||||||
\(348\) | 6.52875 | + | 4.44212i | 0.349978 | + | 0.238123i | ||||
\(349\) | 12.0168 | − | 20.8137i | 0.643245 | − | 1.11413i | −0.341459 | − | 0.939897i | \(-0.610921\pi\) |
0.984704 | − | 0.174236i | \(-0.0557456\pi\) | |||||||
\(350\) | 7.36128 | − | 0.665440i | 0.393477 | − | 0.0355693i | ||||
\(351\) | 2.84282 | + | 22.1716i | 0.151739 | + | 1.18343i | ||||
\(352\) | −0.565197 | + | 3.20539i | −0.0301251 | + | 0.170848i | ||||
\(353\) | −6.31913 | − | 10.9451i | −0.336333 | − | 0.582546i | 0.647407 | − | 0.762145i | \(-0.275854\pi\) |
−0.983740 | + | 0.179598i | \(0.942520\pi\) | |||||||
\(354\) | 19.1393 | + | 8.61404i | 1.01724 | + | 0.457831i | ||||
\(355\) | 4.90810 | + | 0.638960i | 0.260495 | + | 0.0339125i | ||||
\(356\) | −4.22666 | − | 1.53838i | −0.224013 | − | 0.0815339i | ||||
\(357\) | 4.79979 | + | 9.94264i | 0.254032 | + | 0.526220i | ||||
\(358\) | 3.41668 | + | 4.07184i | 0.180577 | + | 0.215204i | ||||
\(359\) | −9.62079 | + | 1.69640i | −0.507766 | + | 0.0895328i | −0.421662 | − | 0.906753i | \(-0.638553\pi\) |
−0.0861044 | + | 0.996286i | \(0.527442\pi\) | |||||||
\(360\) | −4.67004 | − | 4.81568i | −0.246133 | − | 0.253808i | ||||
\(361\) | −14.7789 | + | 11.9409i | −0.777836 | + | 0.628468i | ||||
\(362\) | −25.7104 | −1.35131 | ||||||||
\(363\) | 0.191104 | + | 0.676753i | 0.0100304 | + | 0.0355203i | ||||
\(364\) | −4.08765 | − | 4.87147i | −0.214251 | − | 0.255334i | ||||
\(365\) | −21.0572 | − | 16.1096i | −1.10219 | − | 0.843213i | ||||
\(366\) | 3.86760 | − | 15.2498i | 0.202163 | − | 0.797118i | ||||
\(367\) | 17.3910 | − | 20.7258i | 0.907802 | − | 1.08188i | −0.0885101 | − | 0.996075i | \(-0.528211\pi\) |
0.996312 | − | 0.0858013i | \(-0.0273450\pi\) | |||||||
\(368\) | −3.85198 | + | 6.67183i | −0.200799 | + | 0.347793i | ||||
\(369\) | −2.67039 | − | 3.01433i | −0.139015 | − | 0.156920i | ||||
\(370\) | −8.48601 | + | 3.52937i | −0.441167 | + | 0.183483i | ||||
\(371\) | 0.377676 | − | 2.14191i | 0.0196080 | − | 0.111202i | ||||
\(372\) | 3.56680 | − | 2.56951i | 0.184930 | − | 0.133223i | ||||
\(373\) | 14.7375 | − | 25.5261i | 0.763079 | − | 1.32169i | −0.178178 | − | 0.983998i | \(-0.557020\pi\) |
0.941256 | − | 0.337693i | \(-0.109647\pi\) | |||||||
\(374\) | −10.7514 | − | 9.02147i | −0.555940 | − | 0.466489i | ||||
\(375\) | 2.18651 | − | 19.2411i | 0.112911 | − | 0.993605i | ||||
\(376\) | −4.06253 | − | 11.1617i | −0.209509 | − | 0.575621i | ||||
\(377\) | 15.0242 | − | 12.6068i | 0.773786 | − | 0.649284i | ||||
\(378\) | −3.52379 | − | 6.82529i | −0.181244 | − | 0.351055i | ||||
\(379\) | 9.76267i | 0.501475i | 0.968055 | + | 0.250737i | \(0.0806730\pi\) | ||||
−0.968055 | + | 0.250737i | \(0.919327\pi\) | |||||||
\(380\) | 7.68594 | + | 5.99385i | 0.394281 | + | 0.307478i | ||||
\(381\) | −2.20344 | + | 0.222607i | −0.112886 | + | 0.0114045i | ||||
\(382\) | −2.01112 | − | 11.4056i | −0.102898 | − | 0.583563i | ||||
\(383\) | 13.5937 | + | 16.2003i | 0.694604 | + | 0.827797i | 0.991904 | − | 0.126987i | \(-0.0405306\pi\) |
−0.297300 | + | 0.954784i | \(0.596086\pi\) | |||||||
\(384\) | −0.752994 | − | 1.55981i | −0.0384261 | − | 0.0795986i | ||||
\(385\) | −10.5004 | + | 2.34379i | −0.535152 | + | 0.119451i | ||||
\(386\) | −0.0767057 | + | 0.0914143i | −0.00390422 | + | 0.00465287i | ||||
\(387\) | −23.4129 | − | 7.81672i | −1.19014 | − | 0.397346i | ||||
\(388\) | 4.70357 | + | 8.14682i | 0.238788 | + | 0.413592i | ||||
\(389\) | 16.3233 | + | 2.87824i | 0.827625 | + | 0.145933i | 0.571387 | − | 0.820681i | \(-0.306406\pi\) |
0.256238 | + | 0.966614i | \(0.417517\pi\) | |||||||
\(390\) | −14.6625 | + | 7.91197i | −0.742466 | + | 0.400638i | ||||
\(391\) | −16.6098 | − | 28.7690i | −0.839994 | − | 1.45491i | ||||
\(392\) | −4.16970 | − | 2.40738i | −0.210602 | − | 0.121591i | ||||
\(393\) | 10.2396 | − | 15.0495i | 0.516519 | − | 0.759146i | ||||
\(394\) | 6.89012 | − | 18.9305i | 0.347119 | − | 0.953703i | ||||
\(395\) | 12.5974 | + | 9.63750i | 0.633846 | + | 0.484915i | ||||
\(396\) | 7.64580 | + | 6.07353i | 0.384216 | + | 0.305206i | ||||
\(397\) | −28.9935 | + | 5.11234i | −1.45514 | + | 0.256581i | −0.844598 | − | 0.535401i | \(-0.820161\pi\) |
−0.610545 | + | 0.791982i | \(0.709049\pi\) | |||||||
\(398\) | 23.2959i | 1.16772i | ||||||||
\(399\) | 6.43929 | + | 9.11563i | 0.322368 | + | 0.456352i | ||||
\(400\) | 2.10001 | − | 4.53762i | 0.105000 | − | 0.226881i | ||||
\(401\) | −0.524009 | − | 2.97180i | −0.0261678 | − | 0.148405i | 0.968924 | − | 0.247357i | \(-0.0795620\pi\) |
−0.995092 | + | 0.0989522i | \(0.968451\pi\) | |||||||
\(402\) | 16.5521 | + | 16.1137i | 0.825544 | + | 0.803680i | ||||
\(403\) | −3.73423 | − | 10.2597i | −0.186015 | − | 0.511072i | ||||
\(404\) | 3.38914 | − | 9.31159i | 0.168616 | − | 0.463269i | ||||
\(405\) | −19.3778 | + | 5.43155i | −0.962890 | + | 0.269896i | ||||
\(406\) | −3.36979 | + | 5.83664i | −0.167240 | + | 0.289668i | ||||
\(407\) | 11.5857 | − | 6.68903i | 0.574284 | − | 0.331563i | ||||
\(408\) | 7.44827 | + | 0.551038i | 0.368744 | + | 0.0272805i | ||||
\(409\) | 2.11348 | + | 0.372663i | 0.104505 | + | 0.0184270i | 0.225656 | − | 0.974207i | \(-0.427547\pi\) |
−0.121151 | + | 0.992634i | \(0.538659\pi\) | |||||||
\(410\) | 1.38214 | − | 2.66444i | 0.0682588 | − | 0.131587i | ||||
\(411\) | −5.19776 | + | 11.5487i | −0.256386 | + | 0.569657i | ||||
\(412\) | 12.3766 | + | 10.3852i | 0.609749 | + | 0.511640i | ||||
\(413\) | −6.12662 | + | 16.8328i | −0.301471 | + | 0.828286i | ||||
\(414\) | 12.0889 | + | 19.6982i | 0.594137 | + | 0.968113i | ||||
\(415\) | −1.73087 | + | 5.51736i | −0.0849651 | + | 0.270837i | ||||
\(416\) | −4.23650 | + | 0.747009i | −0.207711 | + | 0.0366251i | ||||
\(417\) | −0.921535 | + | 0.0930999i | −0.0451278 | + | 0.00455912i | ||||
\(418\) | −12.2204 | − | 7.20742i | −0.597721 | − | 0.352526i | ||||
\(419\) | − | 23.8617i | − | 1.16572i | −0.812573 | − | 0.582859i | \(-0.801934\pi\) | ||
0.812573 | − | 0.582859i | \(-0.198066\pi\) | |||||||
\(420\) | 3.80478 | − | 4.27813i | 0.185654 | − | 0.208751i | ||||
\(421\) | −5.91970 | − | 7.05483i | −0.288509 | − | 0.343831i | 0.602250 | − | 0.798307i | \(-0.294271\pi\) |
−0.890759 | + | 0.454476i | \(0.849827\pi\) | |||||||
\(422\) | 23.7795 | − | 8.65504i | 1.15757 | − | 0.421321i | ||||
\(423\) | −35.2462 | − | 5.24387i | −1.71373 | − | 0.254966i | ||||
\(424\) | −1.12708 | − | 0.945728i | −0.0547356 | − | 0.0459286i | ||||
\(425\) | 12.4173 | + | 17.6252i | 0.602326 | + | 0.854948i | ||||
\(426\) | 3.11074 | − | 2.24096i | 0.150716 | − | 0.108575i | ||||
\(427\) | 13.2233 | + | 2.33163i | 0.639922 | + | 0.112835i | ||||
\(428\) | −10.7530 | − | 1.89605i | −0.519768 | − | 0.0916491i | ||||
\(429\) | 19.6776 | − | 14.1757i | 0.950042 | − | 0.684407i | ||||
\(430\) | −0.829023 | − | 18.3792i | −0.0399790 | − | 0.886322i | ||||
\(431\) | 5.05850 | + | 4.24459i | 0.243660 | + | 0.204455i | 0.756436 | − | 0.654067i | \(-0.226939\pi\) |
−0.512777 | + | 0.858522i | \(0.671383\pi\) | |||||||
\(432\) | −5.19041 | − | 0.244179i | −0.249724 | − | 0.0117481i | ||||
\(433\) | −15.0200 | + | 5.46683i | −0.721815 | + | 0.262719i | −0.676696 | − | 0.736262i | \(-0.736589\pi\) |
−0.0451190 | + | 0.998982i | \(0.514367\pi\) | |||||||
\(434\) | 2.41163 | + | 2.87407i | 0.115762 | + | 0.137960i | ||||
\(435\) | 13.1943 | + | 11.7344i | 0.632617 | + | 0.562622i | ||||
\(436\) | 5.40284i | 0.258749i | ||||||||
\(437\) | −21.3458 | − | 25.9235i | −1.02111 | − | 1.24009i | ||||
\(438\) | −20.4327 | + | 2.06425i | −0.976310 | + | 0.0986337i | ||||
\(439\) | 13.4451 | − | 2.37074i | 0.641701 | − | 0.113149i | 0.156677 | − | 0.987650i | \(-0.449922\pi\) |
0.485024 | + | 0.874501i | \(0.338811\pi\) | |||||||
\(440\) | −2.17853 | + | 6.94435i | −0.103858 | + | 0.331059i | ||||
\(441\) | −12.3108 | + | 7.55520i | −0.586228 | + | 0.359772i | ||||
\(442\) | 6.34435 | − | 17.4310i | 0.301770 | − | 0.829107i | ||||
\(443\) | 8.77593 | + | 7.36388i | 0.416957 | + | 0.349869i | 0.827004 | − | 0.562196i | \(-0.190043\pi\) |
−0.410047 | + | 0.912064i | \(0.634488\pi\) | |||||||
\(444\) | −2.92180 | + | 6.49187i | −0.138663 | + | 0.308090i | ||||
\(445\) | −8.92794 | − | 4.63123i | −0.423225 | − | 0.219541i | ||||
\(446\) | −23.3980 | − | 4.12570i | −1.10793 | − | 0.195358i | ||||
\(447\) | −6.82798 | − | 0.505148i | −0.322952 | − | 0.0238927i | ||||
\(448\) | 1.28021 | − | 0.739129i | 0.0604842 | − | 0.0349206i | ||||
\(449\) | −12.0850 | + | 20.9319i | −0.570328 | + | 0.987836i | 0.426204 | + | 0.904627i | \(0.359850\pi\) |
−0.996532 | + | 0.0832095i | \(0.973483\pi\) | |||||||
\(450\) | −8.96502 | − | 12.0262i | −0.422615 | − | 0.566919i | ||||
\(451\) | −1.49433 | + | 4.10565i | −0.0703654 | + | 0.193327i | ||||
\(452\) | −4.20987 | − | 11.5665i | −0.198016 | − | 0.544043i | ||||
\(453\) | −5.95380 | − | 5.79612i | −0.279734 | − | 0.272325i | ||||
\(454\) | 2.19937 | + | 12.4733i | 0.103222 | + | 0.585399i | ||||
\(455\) | −7.65755 | − | 11.9818i | −0.358991 | − | 0.561713i | ||||
\(456\) | 7.51831 | − | 0.689172i | 0.352077 | − | 0.0322734i | ||||
\(457\) | 31.4742i | 1.47230i | 0.676818 | + | 0.736150i | \(0.263358\pi\) | ||||
−0.676818 | + | 0.736150i | \(0.736642\pi\) | |||||||
\(458\) | 14.2106 | − | 2.50570i | 0.664016 | − | 0.117084i | ||||
\(459\) | 12.1024 | − | 18.8562i | 0.564892 | − | 0.880131i | ||||
\(460\) | −10.4672 | + | 13.6819i | −0.488034 | + | 0.637922i | ||||
\(461\) | −11.7029 | + | 32.1534i | −0.545058 | + | 1.49753i | 0.295248 | + | 0.955421i | \(0.404598\pi\) |
−0.840305 | + | 0.542113i | \(0.817624\pi\) | |||||||
\(462\) | −4.68801 | + | 6.89014i | −0.218106 | + | 0.320558i | ||||
\(463\) | 15.9360 | + | 9.20064i | 0.740608 | + | 0.427590i | 0.822290 | − | 0.569068i | \(-0.192696\pi\) |
−0.0816824 | + | 0.996658i | \(0.526029\pi\) | |||||||
\(464\) | 2.27957 | + | 3.94832i | 0.105826 | + | 0.183296i | ||||
\(465\) | 8.65061 | − | 4.66791i | 0.401162 | − | 0.216469i | ||||
\(466\) | 2.41734 | + | 0.426242i | 0.111981 | + | 0.0197453i | ||||
\(467\) | 15.9343 | + | 27.5990i | 0.737351 | + | 1.27713i | 0.953684 | + | 0.300810i | \(0.0972570\pi\) |
−0.216333 | + | 0.976320i | \(0.569410\pi\) | |||||||
\(468\) | −4.08694 | + | 12.2413i | −0.188919 | + | 0.565856i | ||||
\(469\) | −12.6729 | + | 15.1029i | −0.585179 | + | 0.697389i | ||||
\(470\) | −5.78607 | − | 25.9222i | −0.266891 | − | 1.19570i | ||||
\(471\) | 3.85901 | + | 7.99382i | 0.177814 | + | 0.368336i | ||||
\(472\) | 7.78909 | + | 9.28267i | 0.358522 | + | 0.427270i | ||||
\(473\) | 4.65031 | + | 26.3732i | 0.213822 | + | 1.21264i | ||||
\(474\) | 12.2238 | − | 1.23493i | 0.561457 | − | 0.0567224i | ||||
\(475\) | 15.3123 | + | 15.5092i | 0.702574 | + | 0.711610i | ||||
\(476\) | 6.37427i | 0.292164i | ||||||||
\(477\) | −4.10568 | + | 1.62039i | −0.187986 | + | 0.0741927i | ||||
\(478\) | −23.5596 | + | 19.7688i | −1.07759 | + | 0.904205i | ||||
\(479\) | −8.97820 | − | 24.6674i | −0.410224 | − | 1.12708i | −0.957072 | − | 0.289850i | \(-0.906394\pi\) |
0.546848 | − | 0.837232i | \(-0.315828\pi\) | |||||||
\(480\) | −1.21939 | − | 3.67601i | −0.0556575 | − | 0.167786i | ||||
\(481\) | 13.5448 | + | 11.3654i | 0.617590 | + | 0.518220i | ||||
\(482\) | 2.90479 | − | 5.03124i | 0.132309 | − | 0.229167i | ||||
\(483\) | −16.0048 | + | 11.5298i | −0.728244 | + | 0.524625i | ||||
\(484\) | −0.0705017 | + | 0.399835i | −0.00320462 | + | 0.0181743i | ||||
\(485\) | 8.07778 | + | 19.4222i | 0.366793 | + | 0.881916i | ||||
\(486\) | −8.06494 | + | 13.3400i | −0.365833 | + | 0.605117i | ||||
\(487\) | 7.30221 | − | 12.6478i | 0.330895 | − | 0.573126i | −0.651793 | − | 0.758397i | \(-0.725983\pi\) |
0.982688 | + | 0.185271i | \(0.0593162\pi\) | |||||||
\(488\) | 5.83857 | − | 6.95813i | 0.264300 | − | 0.314980i | ||||
\(489\) | 2.55821 | − | 10.0869i | 0.115686 | − | 0.456144i | ||||
\(490\) | −8.55078 | − | 6.54166i | −0.386285 | − | 0.295522i | ||||
\(491\) | −0.299707 | − | 0.357177i | −0.0135256 | − | 0.0161192i | 0.759239 | − | 0.650812i | \(-0.225571\pi\) |
−0.772765 | + | 0.634692i | \(0.781127\pi\) | |||||||
\(492\) | −0.631840 | − | 2.23752i | −0.0284856 | − | 0.100875i | ||||
\(493\) | −19.6590 | −0.885399 | ||||||||
\(494\) | 3.42727 | − | 18.4355i | 0.154200 | − | 0.829451i | ||||
\(495\) | 15.2002 | + | 15.6743i | 0.683200 | + | 0.704506i | ||||
\(496\) | 2.49945 | − | 0.440721i | 0.112229 | − | 0.0197890i | ||||
\(497\) | 2.10327 | + | 2.50658i | 0.0943446 | + | 0.112436i | ||||
\(498\) | 1.94725 | + | 4.03368i | 0.0872584 | + | 0.180753i | ||||
\(499\) | −7.85290 | − | 2.85822i | −0.351544 | − | 0.127952i | 0.160211 | − | 0.987083i | \(-0.448782\pi\) |
−0.511756 | + | 0.859131i | \(0.671005\pi\) | |||||||
\(500\) | 5.96632 | − | 9.45532i | 0.266822 | − | 0.422855i | ||||
\(501\) | −19.6033 | − | 8.82290i | −0.875812 | − | 0.394178i | ||||
\(502\) | 9.07666 | + | 15.7212i | 0.405111 | + | 0.701673i | ||||
\(503\) | −1.95218 | + | 11.0714i | −0.0870436 | + | 0.493649i | 0.909853 | + | 0.414930i | \(0.136194\pi\) |
−0.996897 | + | 0.0787187i | \(0.974917\pi\) | |||||||
\(504\) | −0.119006 | − | 4.43318i | −0.00530094 | − | 0.197469i | ||||
\(505\) | 10.2029 | − | 19.6688i | 0.454022 | − | 0.875250i | ||||
\(506\) | 12.5376 | − | 21.7158i | 0.557364 | − | 0.965383i | ||||
\(507\) | 7.88460 | + | 5.36463i | 0.350167 | + | 0.238252i | ||||
\(508\) | −1.20152 | − | 0.437319i | −0.0533090 | − | 0.0194029i | ||||
\(509\) | −2.39322 | + | 0.871062i | −0.106078 | + | 0.0386091i | −0.394514 | − | 0.918890i | \(-0.629087\pi\) |
0.288436 | + | 0.957499i | \(0.406865\pi\) | |||||||
\(510\) | 16.3564 | + | 3.37191i | 0.724274 | + | 0.149311i | ||||
\(511\) | −3.04362 | − | 17.2612i | −0.134642 | − | 0.763591i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 8.93163 | − | 20.8141i | 0.394341 | − | 0.918964i | ||||
\(514\) | −29.8820 | −1.31804 | ||||||||
\(515\) | 24.4454 | + | 26.6003i | 1.07719 | + | 1.17215i | ||||
\(516\) | −10.2112 | − | 9.94079i | −0.449524 | − | 0.437619i | ||||
\(517\) | 13.2229 | + | 36.3296i | 0.581542 | + | 1.59777i | ||||
\(518\) | −5.70952 | − | 2.07809i | −0.250862 | − | 0.0913062i | ||||
\(519\) | 4.01051 | − | 5.89439i | 0.176042 | − | 0.258735i | ||||
\(520\) | −9.60947 | + | 0.433451i | −0.421403 | + | 0.0190081i | ||||
\(521\) | −5.34154 | − | 9.25182i | −0.234017 | − | 0.405330i | 0.724969 | − | 0.688781i | \(-0.241854\pi\) |
−0.958987 | + | 0.283451i | \(0.908521\pi\) | |||||||
\(522\) | 13.6725 | − | 0.367029i | 0.598428 | − | 0.0160644i | ||||
\(523\) | −6.46521 | + | 36.6660i | −0.282704 | + | 1.60329i | 0.430670 | + | 0.902510i | \(0.358277\pi\) |
−0.713374 | + | 0.700784i | \(0.752834\pi\) | |||||||
\(524\) | 9.10132 | − | 5.25465i | 0.397593 | − | 0.229550i | ||||
\(525\) | 9.67150 | − | 8.38783i | 0.422099 | − | 0.366075i | ||||
\(526\) | 5.34851 | − | 6.37410i | 0.233206 | − | 0.277924i | ||||
\(527\) | −3.74305 | + | 10.2839i | −0.163050 | + | 0.447975i | ||||
\(528\) | 2.45088 | + | 5.07693i | 0.106661 | + | 0.220945i | ||||
\(529\) | 27.8466 | − | 23.3661i | 1.21072 | − | 1.01592i | ||||
\(530\) | −2.22613 | − | 2.42237i | −0.0966968 | − | 0.105221i | ||||
\(531\) | 35.6184 | − | 7.27106i | 1.54571 | − | 0.315537i | ||||
\(532\) | 1.06001 | + | 6.35579i | 0.0459573 | + | 0.275559i | ||||
\(533\) | −5.77459 | −0.250125 | ||||||||
\(534\) | −7.49743 | + | 2.11716i | −0.324446 | + | 0.0916184i | ||||
\(535\) | −23.2960 | − | 7.30826i | −1.00717 | − | 0.315964i | ||||
\(536\) | 4.56151 | + | 12.5327i | 0.197027 | + | 0.541328i | ||||
\(537\) | 8.92403 | + | 2.26329i | 0.385100 | + | 0.0976682i | ||||
\(538\) | 10.4428 | − | 12.4453i | 0.450222 | − | 0.536554i | ||||
\(539\) | 13.5717 | + | 7.83563i | 0.584575 | + | 0.337504i | ||||
\(540\) | −11.4385 | − | 2.03973i | −0.492235 | − | 0.0877760i | ||||
\(541\) | 1.13016 | − | 6.40946i | 0.0485894 | − | 0.275564i | −0.950827 | − | 0.309722i | \(-0.899764\pi\) |
0.999416 | + | 0.0341582i | \(0.0108750\pi\) | |||||||
\(542\) | −11.0523 | − | 1.94882i | −0.474738 | − | 0.0837091i | ||||
\(543\) | −36.1323 | + | 26.0296i | −1.55058 | + | 1.11704i | ||||
\(544\) | 3.73431 | + | 2.15601i | 0.160107 | + | 0.0924380i | ||||
\(545\) | −1.55962 | + | 11.9800i | −0.0668066 | + | 0.513167i | ||||
\(546\) | −10.6765 | − | 2.70775i | −0.456913 | − | 0.115881i | ||||
\(547\) | −15.1317 | + | 5.50749i | −0.646985 | + | 0.235483i | −0.644607 | − | 0.764514i | \(-0.722979\pi\) |
−0.00237778 | + | 0.999997i | \(0.500757\pi\) | |||||||
\(548\) | −5.60121 | + | 4.69998i | −0.239272 | + | 0.200773i | ||||
\(549\) | −10.0037 | − | 25.3469i | −0.426947 | − | 1.08178i | ||||
\(550\) | −6.83519 | + | 14.7692i | −0.291453 | + | 0.629762i | ||||
\(551\) | −19.6020 | + | 3.26921i | −0.835075 | + | 0.139273i | ||||
\(552\) | 1.34124 | + | 13.2761i | 0.0570871 | + | 0.565068i | ||||
\(553\) | 1.82084 | + | 10.3265i | 0.0774299 | + | 0.439127i | ||||
\(554\) | 14.9398 | − | 12.5360i | 0.634733 | − | 0.532604i | ||||
\(555\) | −8.35267 | + | 13.5514i | −0.354551 | + | 0.575223i | ||||
\(556\) | −0.502507 | − | 0.182898i | −0.0213110 | − | 0.00775658i | ||||
\(557\) | −14.6705 | − | 12.3100i | −0.621609 | − | 0.521592i | 0.276700 | − | 0.960956i | \(-0.410759\pi\) |
−0.898309 | + | 0.439365i | \(0.855204\pi\) | |||||||
\(558\) | 2.41122 | − | 7.22216i | 0.102075 | − | 0.305738i | ||||
\(559\) | −30.6527 | + | 17.6973i | −1.29647 | + | 0.748517i | ||||
\(560\) | 3.05204 | − | 1.26936i | 0.128972 | − | 0.0536403i | ||||
\(561\) | −24.2429 | − | 1.79354i | −1.02354 | − | 0.0757234i | ||||
\(562\) | −0.853575 | + | 0.492812i | −0.0360059 | + | 0.0207880i | ||||
\(563\) | −5.79723 | − | 3.34703i | −0.244324 | − | 0.141061i | 0.372838 | − | 0.927896i | \(-0.378385\pi\) |
−0.617163 | + | 0.786836i | \(0.711718\pi\) | |||||||
\(564\) | −17.0095 | − | 11.5732i | −0.716231 | − | 0.487319i | ||||
\(565\) | −5.99592 | − | 26.8624i | −0.252250 | − | 1.13011i | ||||
\(566\) | 8.64931 | − | 3.14809i | 0.363558 | − | 0.132324i | ||||
\(567\) | −11.8622 | − | 6.02443i | −0.498165 | − | 0.253002i | ||||
\(568\) | 2.17986 | − | 0.384368i | 0.0914649 | − | 0.0161277i | ||||
\(569\) | −8.36559 | −0.350704 | −0.175352 | − | 0.984506i | \(-0.556106\pi\) | ||||
−0.175352 | + | 0.984506i | \(0.556106\pi\) | |||||||
\(570\) | 16.8697 | + | 0.642144i | 0.706595 | + | 0.0268964i | ||||
\(571\) | −20.1454 | −0.843060 | −0.421530 | − | 0.906814i | \(-0.638507\pi\) | ||||
−0.421530 | + | 0.906814i | \(0.638507\pi\) | |||||||
\(572\) | 13.7891 | − | 2.43140i | 0.576553 | − | 0.101662i | ||||
\(573\) | −14.3736 | − | 13.9929i | −0.600464 | − | 0.584561i | ||||
\(574\) | 1.86467 | − | 0.678684i | 0.0778298 | − | 0.0283277i | ||||
\(575\) | −27.1589 | + | 27.3161i | −1.13261 | + | 1.13916i | ||||
\(576\) | −2.63739 | − | 1.42974i | −0.109891 | − | 0.0595726i | ||||
\(577\) | −6.73746 | − | 3.88988i | −0.280484 | − | 0.161938i | 0.353158 | − | 0.935564i | \(-0.385108\pi\) |
−0.633643 | + | 0.773626i | \(0.718441\pi\) | |||||||
\(578\) | −1.37998 | + | 0.796731i | −0.0573995 | + | 0.0331396i | ||||
\(579\) | −0.0152497 | + | 0.206127i | −0.000633757 | + | 0.00856636i | ||||
\(580\) | 3.91486 | + | 9.41288i | 0.162556 | + | 0.390848i | ||||
\(581\) | −3.31063 | + | 1.91140i | −0.137348 | + | 0.0792980i | ||||
\(582\) | 14.8581 | + | 6.68722i | 0.615889 | + | 0.277194i | ||||
\(583\) | 3.66845 | + | 3.07820i | 0.151932 | + | 0.127486i | ||||
\(584\) | −11.1418 | − | 4.05528i | −0.461051 | − | 0.167809i | ||||
\(585\) | −12.5959 | + | 25.9637i | −0.520775 | + | 1.07347i | ||||
\(586\) | 9.27079 | − | 7.77912i | 0.382973 | − | 0.321352i | ||||
\(587\) | −1.97128 | − | 11.1797i | −0.0813632 | − | 0.461434i | −0.998082 | − | 0.0619014i | \(-0.980284\pi\) |
0.916719 | − | 0.399533i | \(-0.130828\pi\) | |||||||
\(588\) | −8.29716 | + | 0.838237i | −0.342169 | + | 0.0345683i | ||||
\(589\) | −2.02203 | + | 10.8766i | −0.0833161 | + | 0.448161i | ||||
\(590\) | 14.5916 | + | 22.8314i | 0.600726 | + | 0.939956i | ||||
\(591\) | −9.48237 | − | 33.5797i | −0.390053 | − | 1.38128i | ||||
\(592\) | −3.14860 | + | 2.64199i | −0.129407 | + | 0.108585i | ||||
\(593\) | −24.3330 | + | 8.85648i | −0.999236 | + | 0.363692i | −0.789290 | − | 0.614021i | \(-0.789551\pi\) |
−0.209946 | + | 0.977713i | \(0.567329\pi\) | |||||||
\(594\) | 16.8940 | + | 0.794764i | 0.693168 | + | 0.0326096i | ||||
\(595\) | −1.84004 | + | 14.1340i | −0.0754342 | + | 0.579439i | ||||
\(596\) | −3.42332 | − | 1.97645i | −0.140225 | − | 0.0809587i | ||||
\(597\) | 23.5851 | + | 32.7391i | 0.965274 | + | 1.33992i | ||||
\(598\) | 32.6378 | + | 5.75493i | 1.33466 | + | 0.235337i | ||||
\(599\) | 4.49458 | − | 25.4900i | 0.183643 | − | 1.04149i | −0.744043 | − | 0.668132i | \(-0.767094\pi\) |
0.927686 | − | 0.373361i | \(-0.121795\pi\) | |||||||
\(600\) | −1.64269 | − | 8.50303i | −0.0670625 | − | 0.347135i | ||||
\(601\) | 24.4980 | + | 14.1439i | 0.999294 | + | 0.576943i | 0.908039 | − | 0.418885i | \(-0.137579\pi\) |
0.0912547 | + | 0.995828i | \(0.470912\pi\) | |||||||
\(602\) | 7.81807 | − | 9.31722i | 0.318641 | − | 0.379741i | ||||
\(603\) | 39.5753 | + | 5.88795i | 1.61163 | + | 0.239776i | ||||
\(604\) | −1.64078 | − | 4.50800i | −0.0667623 | − | 0.183428i | ||||
\(605\) | −0.271746 | + | 0.866225i | −0.0110481 | + | 0.0352171i | ||||
\(606\) | −4.66423 | − | 16.5173i | −0.189471 | − | 0.670969i | ||||
\(607\) | −42.0994 | −1.70876 | −0.854381 | − | 0.519647i | \(-0.826063\pi\) | ||||
−0.854381 | + | 0.519647i | \(0.826063\pi\) | |||||||
\(608\) | 4.08202 | + | 1.52876i | 0.165548 | + | 0.0619993i | ||||
\(609\) | 1.17334 | + | 11.6142i | 0.0475463 | + | 0.470630i | ||||
\(610\) | 14.9548 | − | 13.7433i | 0.605501 | − | 0.556449i | ||||
\(611\) | −39.1430 | + | 32.8449i | −1.58356 | + | 1.32876i | ||||
\(612\) | 11.0253 | − | 6.76632i | 0.445673 | − | 0.273512i | ||||
\(613\) | 9.34878 | − | 25.6856i | 0.377594 | − | 1.03743i | −0.594757 | − | 0.803906i | \(-0.702752\pi\) |
0.972351 | − | 0.233525i | \(-0.0750260\pi\) | |||||||
\(614\) | 4.50959 | − | 5.37432i | 0.181992 | − | 0.216890i | ||||
\(615\) | −0.755119 | − | 5.14377i | −0.0304493 | − | 0.207417i | ||||
\(616\) | −4.16688 | + | 2.40575i | −0.167888 | + | 0.0969304i | ||||
\(617\) | −5.70210 | + | 32.3382i | −0.229558 | + | 1.30189i | 0.624220 | + | 0.781249i | \(0.285417\pi\) |
−0.853778 | + | 0.520638i | \(0.825694\pi\) | |||||||
\(618\) | 27.9075 | + | 2.06465i | 1.12260 | + | 0.0830526i | ||||
\(619\) | 16.3880 | + | 28.3849i | 0.658690 | + | 1.14088i | 0.980955 | + | 0.194235i | \(0.0622225\pi\) |
−0.322265 | + | 0.946649i | \(0.604444\pi\) | |||||||
\(620\) | 5.66940 | − | 0.255728i | 0.227689 | − | 0.0102703i | ||||
\(621\) | 36.9319 | + | 15.4440i | 1.48203 | + | 0.619746i | ||||
\(622\) | −6.07606 | − | 2.21151i | −0.243628 | − | 0.0886733i | ||||
\(623\) | −2.27412 | − | 6.24810i | −0.0911108 | − | 0.250325i | ||||
\(624\) | −5.19750 | + | 5.33890i | −0.208067 | + | 0.213727i | ||||
\(625\) | 15.9589 | − | 19.2435i | 0.638356 | − | 0.769742i | ||||
\(626\) | 13.2678 | 0.530287 | ||||||||
\(627\) | −24.4709 | + | 2.24315i | −0.977275 | + | 0.0895826i | ||||
\(628\) | 5.12488i | 0.204505i | ||||||||
\(629\) | −3.07761 | − | 17.4540i | −0.122712 | − | 0.695936i | ||||
\(630\) | 1.01583 | − | 9.86429i | 0.0404717 | − | 0.393003i | ||||
\(631\) | −14.5454 | + | 5.29409i | −0.579042 | + | 0.210754i | −0.614903 | − | 0.788603i | \(-0.710805\pi\) |
0.0358608 | + | 0.999357i | \(0.488583\pi\) | |||||||
\(632\) | 6.66555 | + | 2.42606i | 0.265141 | + | 0.0965036i | ||||
\(633\) | 24.6562 | − | 36.2381i | 0.979996 | − | 1.44034i | ||||
\(634\) | 13.8322 | − | 23.9581i | 0.549348 | − | 0.951499i | ||||
\(635\) | −2.53797 | − | 1.31653i | −0.100716 | − | 0.0522450i | ||||
\(636\) | −2.54141 | − | 0.188018i | −0.100773 | − | 0.00745542i | ||||
\(637\) | −3.59666 | + | 20.3977i | −0.142505 | + | 0.808186i | ||||
\(638\) | −7.41963 | − | 12.8512i | −0.293746 | − | 0.508783i | ||||
\(639\) | 2.10291 | − | 6.29870i | 0.0831897 | − | 0.249173i | ||||
\(640\) | 0.288666 | − | 2.21736i | 0.0114105 | − | 0.0876487i | ||||
\(641\) | 35.9483 | + | 13.0841i | 1.41987 | + | 0.516791i | 0.934010 | − | 0.357246i | \(-0.116284\pi\) |
0.485860 | + | 0.874037i | \(0.338506\pi\) | |||||||
\(642\) | −17.0314 | + | 8.22189i | −0.672176 | + | 0.324492i | ||||
\(643\) | 6.24965 | + | 7.44804i | 0.246462 | + | 0.293722i | 0.875066 | − | 0.484003i | \(-0.160818\pi\) |
−0.628604 | + | 0.777726i | \(0.716373\pi\) | |||||||
\(644\) | −11.2154 | + | 1.97758i | −0.441950 | + | 0.0779278i | ||||
\(645\) | −19.7724 | − | 24.9899i | −0.778536 | − | 0.983977i | ||||
\(646\) | −14.5097 | + | 11.9475i | −0.570878 | + | 0.470069i | ||||
\(647\) | 11.4994 | 0.452090 | 0.226045 | − | 0.974117i | \(-0.427420\pi\) | ||||
0.226045 | + | 0.974117i | \(0.427420\pi\) | |||||||
\(648\) | −7.54158 | + | 4.91168i | −0.296261 | + | 0.192949i | ||||
\(649\) | −25.3522 | − | 30.2136i | −0.995163 | − | 1.18599i | ||||
\(650\) | −21.4327 | − | 1.81281i | −0.840661 | − | 0.0711044i | ||||
\(651\) | 6.29895 | + | 1.59752i | 0.246875 | + | 0.0626119i | ||||
\(652\) | 3.86189 | − | 4.60242i | 0.151243 | − | 0.180245i | ||||
\(653\) | −13.7942 | + | 23.8922i | −0.539807 | + | 0.934973i | 0.459107 | + | 0.888381i | \(0.348169\pi\) |
−0.998914 | + | 0.0465920i | \(0.985164\pi\) | |||||||
\(654\) | 5.46990 | + | 7.59290i | 0.213890 | + | 0.296906i | ||||
\(655\) | 21.6977 | − | 9.02419i | 0.847800 | − | 0.352604i | ||||
\(656\) | 0.233097 | − | 1.32196i | 0.00910089 | − | 0.0516137i | ||||
\(657\) | −26.6253 | + | 23.5873i | −1.03875 | + | 0.920228i | ||||
\(658\) | 8.77941 | − | 15.2064i | 0.342257 | − | 0.592806i | ||||
\(659\) | 20.6532 | + | 17.3301i | 0.804533 | + | 0.675083i | 0.949296 | − | 0.314383i | \(-0.101798\pi\) |
−0.144763 | + | 0.989466i | \(0.546242\pi\) | |||||||
\(660\) | 3.96893 | + | 11.9648i | 0.154491 | + | 0.465731i | ||||
\(661\) | 11.9285 | + | 32.7733i | 0.463965 | + | 1.27473i | 0.922479 | + | 0.386046i | \(0.126160\pi\) |
−0.458514 | + | 0.888687i | \(0.651618\pi\) | |||||||
\(662\) | −16.9736 | + | 14.2425i | −0.659696 | + | 0.553551i | ||||
\(663\) | −8.73127 | − | 30.9198i | −0.339094 | − | 1.20083i | ||||
\(664\) | 2.58601i | 0.100357i | ||||||||
\(665\) | 0.515721 | + | 14.3990i | 0.0199988 | + | 0.558371i | ||||
\(666\) | 2.46628 | + | 12.0814i | 0.0955663 | + | 0.468147i | ||||
\(667\) | −6.09912 | − | 34.5898i | −0.236159 | − | 1.33932i | ||||
\(668\) | −7.97794 | − | 9.50774i | −0.308676 | − | 0.367866i | ||||
\(669\) | −37.0594 | + | 17.8904i | −1.43280 | + | 0.691682i | ||||
\(670\) | 6.49675 | + | 29.1061i | 0.250991 | + | 1.12447i | ||||
\(671\) | −19.0036 | + | 22.6476i | −0.733626 | + | 0.874302i | ||||
\(672\) | 1.05084 | − | 2.33484i | 0.0405372 | − | 0.0900684i | ||||
\(673\) | 7.40599 | + | 12.8275i | 0.285480 | + | 0.494466i | 0.972725 | − | 0.231960i | \(-0.0745137\pi\) |
−0.687246 | + | 0.726425i | \(0.741180\pi\) | |||||||
\(674\) | −0.353920 | − | 0.0624056i | −0.0136325 | − | 0.00240377i | ||||
\(675\) | −24.7745 | − | 7.82472i | −0.953569 | − | 0.301174i | ||||
\(676\) | 2.75297 | + | 4.76828i | 0.105883 | + | 0.183396i | ||||
\(677\) | −18.6874 | − | 10.7891i | −0.718213 | − | 0.414661i | 0.0958814 | − | 0.995393i | \(-0.469433\pi\) |
−0.814095 | + | 0.580732i | \(0.802766\pi\) | |||||||
\(678\) | −17.6264 | − | 11.9929i | −0.676940 | − | 0.460586i | ||||
\(679\) | −4.75620 | + | 13.0675i | −0.182526 | + | 0.501486i | ||||
\(680\) | 7.65794 | + | 5.85861i | 0.293669 | + | 0.224667i | ||||
\(681\) | 15.7190 | + | 15.3027i | 0.602352 | + | 0.586400i | ||||
\(682\) | −8.13532 | + | 1.43448i | −0.311518 | + | 0.0549290i | ||||
\(683\) | − | 17.1907i | − | 0.657782i | −0.944368 | − | 0.328891i | \(-0.893325\pi\) | ||
0.944368 | − | 0.328891i | \(-0.106675\pi\) | |||||||
\(684\) | 9.86817 | − | 8.58017i | 0.377319 | − | 0.328071i | ||||
\(685\) | −13.7766 | + | 8.80464i | −0.526377 | + | 0.336408i | ||||
\(686\) | −3.03281 | − | 17.1999i | −0.115793 | − | 0.656696i | ||||
\(687\) | 17.4341 | − | 17.9084i | 0.665151 | − | 0.683246i | ||||
\(688\) | −2.81406 | − | 7.73157i | −0.107285 | − | 0.294763i | ||||
\(689\) | −2.16474 | + | 5.94758i | −0.0824701 | + | 0.226585i | ||||
\(690\) | −0.858342 | + | 29.8250i | −0.0326765 | + | 1.13542i | ||||
\(691\) | −1.18086 | + | 2.04531i | −0.0449220 | + | 0.0778072i | −0.887612 | − | 0.460592i | \(-0.847637\pi\) |
0.842690 | + | 0.538399i | \(0.180971\pi\) | |||||||
\(692\) | 3.56469 | − | 2.05807i | 0.135509 | − | 0.0782362i | ||||
\(693\) | 0.387345 | + | 14.4293i | 0.0147140 | + | 0.548124i | ||||
\(694\) | −9.52897 | − | 1.68021i | −0.361715 | − | 0.0637801i | ||||
\(695\) | −1.06144 | − | 0.550606i | −0.0402627 | − | 0.0208857i | ||||
\(696\) | 7.20093 | + | 3.24093i | 0.272951 | + | 0.122847i | ||||
\(697\) | 4.43404 | + | 3.72060i | 0.167951 | + | 0.140928i | ||||
\(698\) | 8.21998 | − | 22.5842i | 0.311131 | − | 0.854825i | ||||
\(699\) | 3.82875 | − | 1.84832i | 0.144817 | − | 0.0699100i | ||||
\(700\) | 7.13389 | − | 1.93360i | 0.269636 | − | 0.0730833i | ||||
\(701\) | 26.2374 | − | 4.62636i | 0.990972 | − | 0.174735i | 0.345417 | − | 0.938449i | \(-0.387737\pi\) |
0.645555 | + | 0.763714i | \(0.276626\pi\) | |||||||
\(702\) | 6.64969 | + | 21.3411i | 0.250976 | + | 0.805468i | ||||
\(703\) | −5.97121 | − | 16.8916i | −0.225208 | − | 0.637079i | ||||
\(704\) | 3.25484i | 0.122671i | ||||||||
\(705\) | −34.3754 | − | 30.5720i | −1.29465 | − | 1.15141i | ||||
\(706\) | −8.12372 | − | 9.68147i | −0.305740 | − | 0.364367i | ||||
\(707\) | 13.7649 | − | 5.01003i | 0.517684 | − | 0.188421i | ||||
\(708\) | 20.3443 | + | 5.15967i | 0.764586 | + | 0.193912i | ||||
\(709\) | 33.7315 | + | 28.3041i | 1.26681 | + | 1.06298i | 0.994922 | + | 0.100654i | \(0.0320935\pi\) |
0.271891 | + | 0.962328i | \(0.412351\pi\) | |||||||
\(710\) | 4.94448 | − | 0.223029i | 0.185563 | − | 0.00837014i | ||||
\(711\) | 15.9285 | − | 14.1110i | 0.597365 | − | 0.529205i | ||||
\(712\) | −4.42959 | − | 0.781056i | −0.166006 | − | 0.0292713i | ||||
\(713\) | −19.2557 | − | 3.39530i | −0.721132 | − | 0.127155i | ||||
\(714\) | 6.45339 | + | 8.95811i | 0.241512 | + | 0.335249i | ||||
\(715\) | 31.2773 | − | 1.41082i | 1.16970 | − | 0.0527615i | ||||
\(716\) | 4.07184 | + | 3.41668i | 0.152172 | + | 0.127687i | ||||
\(717\) | −13.0953 | + | 51.6342i | −0.489054 | + | 1.92831i | ||||
\(718\) | −9.18005 | + | 3.34127i | −0.342596 | + | 0.124695i | ||||
\(719\) | −24.3135 | − | 28.9757i | −0.906741 | − | 1.08061i | −0.996412 | − | 0.0846401i | \(-0.973026\pi\) |
0.0896708 | − | 0.995971i | \(-0.471418\pi\) | |||||||
\(720\) | −5.43532 | − | 3.93157i | −0.202563 | − | 0.146521i | ||||
\(721\) | 23.8834i | 0.889464i | ||||||||
\(722\) | −12.4808 | + | 14.3258i | −0.464489 | + | 0.533151i | ||||
\(723\) | −1.01143 | − | 10.0115i | −0.0376156 | − | 0.372332i | ||||
\(724\) | −25.3198 | + | 4.46457i | −0.941004 | + | 0.165924i | ||||
\(725\) | 5.96347 | + | 22.0018i | 0.221478 | + | 0.817126i | ||||
\(726\) | 0.305718 | + | 0.633287i | 0.0113463 | + | 0.0235035i | ||||
\(727\) | −3.86750 | + | 10.6259i | −0.143438 | + | 0.394092i | −0.990520 | − | 0.137370i | \(-0.956135\pi\) |
0.847082 | + | 0.531462i | \(0.178357\pi\) | |||||||
\(728\) | −4.87147 | − | 4.08765i | −0.180549 | − | 0.151498i | ||||
\(729\) | 2.17152 | + | 26.9125i | 0.0804268 | + | 0.996761i | ||||
\(730\) | −23.5347 | − | 12.2083i | −0.871059 | − | 0.451848i | ||||
\(731\) | 34.9392 | + | 6.16073i | 1.29227 | + | 0.227863i | ||||
\(732\) | 1.16075 | − | 15.6897i | 0.0429027 | − | 0.579907i | ||||
\(733\) | −29.1108 | + | 16.8071i | −1.07523 | + | 0.620786i | −0.929606 | − | 0.368554i | \(-0.879853\pi\) |
−0.145626 | + | 0.989340i | \(0.546520\pi\) | |||||||
\(734\) | 13.5278 | − | 23.4308i | 0.499320 | − | 0.864847i | ||||
\(735\) | −18.6397 | − | 0.536438i | −0.687537 | − | 0.0197868i | ||||
\(736\) | −2.63491 | + | 7.23936i | −0.0971242 | + | 0.266846i | ||||
\(737\) | −14.8470 | − | 40.7918i | −0.546896 | − | 1.50259i | ||||
\(738\) | −3.15325 | − | 2.50482i | −0.116073 | − | 0.0922038i | ||||
\(739\) | 4.15936 | + | 23.5889i | 0.153005 | + | 0.867732i | 0.960588 | + | 0.277978i | \(0.0896642\pi\) |
−0.807583 | + | 0.589754i | \(0.799225\pi\) | |||||||
\(740\) | −7.74422 | + | 4.94934i | −0.284683 | + | 0.181941i | ||||
\(741\) | −13.8478 | − | 29.3782i | −0.508711 | − | 1.07923i | ||||
\(742\) | − | 2.17495i | − | 0.0798449i | ||||||
\(743\) | 37.1845 | − | 6.55664i | 1.36417 | − | 0.240540i | 0.556829 | − | 0.830627i | \(-0.312018\pi\) |
0.807339 | + | 0.590087i | \(0.200907\pi\) | |||||||
\(744\) | 3.06643 | − | 3.14985i | 0.112421 | − | 0.115479i | ||||
\(745\) | −7.02018 | − | 5.37070i | −0.257200 | − | 0.196767i | ||||
\(746\) | 10.0810 | − | 27.6974i | 0.369093 | − | 1.01408i | ||||
\(747\) | 6.82032 | + | 3.69732i | 0.249543 | + | 0.135278i | ||||
\(748\) | −12.1546 | − | 7.01746i | −0.444416 | − | 0.256584i | ||||
\(749\) | −8.07049 | − | 13.9785i | −0.294889 | − | 0.510763i | ||||
\(750\) | −1.18789 | − | 19.3284i | −0.0433756 | − | 0.705775i | ||||
\(751\) | 14.6978 | + | 2.59162i | 0.536331 | + | 0.0945696i | 0.435252 | − | 0.900309i | \(-0.356659\pi\) |
0.101079 | + | 0.994878i | \(0.467771\pi\) | |||||||
\(752\) | −5.93902 | − | 10.2867i | −0.216574 | − | 0.375117i | ||||
\(753\) | 28.6723 | + | 12.9046i | 1.04488 | + | 0.470269i | ||||
\(754\) | 12.6068 | − | 15.0242i | 0.459113 | − | 0.547149i | ||||
\(755\) | −2.33688 | − | 10.4695i | −0.0850479 | − | 0.381024i | ||||
\(756\) | −4.65545 | − | 6.10970i | −0.169317 | − | 0.222208i | ||||
\(757\) | −1.36076 | − | 1.62169i | −0.0494576 | − | 0.0589413i | 0.740749 | − | 0.671782i | \(-0.234471\pi\) |
−0.790206 | + | 0.612841i | \(0.790027\pi\) | |||||||
\(758\) | 1.69527 | + | 9.61435i | 0.0615750 | + | 0.349209i | ||||
\(759\) | −4.36554 | − | 43.2116i | −0.158459 | − | 1.56848i | ||||
\(760\) | 8.61000 | + | 4.56814i | 0.312317 | + | 0.165704i | ||||
\(761\) | − | 33.4174i | − | 1.21138i | −0.795701 | − | 0.605690i | \(-0.792897\pi\) | ||
0.795701 | − | 0.605690i | \(-0.207103\pi\) | |||||||
\(762\) | −2.13131 | + | 0.601850i | −0.0772093 | + | 0.0218027i | ||||
\(763\) | −6.11823 | + | 5.13381i | −0.221495 | + | 0.185856i | ||||
\(764\) | −3.96114 | − | 10.8831i | −0.143309 | − | 0.393738i | ||||
\(765\) | 26.4003 | − | 11.8207i | 0.954506 | − | 0.427378i | ||||
\(766\) | 16.2003 | + | 13.5937i | 0.585341 | + | 0.491159i | ||||
\(767\) | 26.0642 | − | 45.1445i | 0.941124 | − | 1.63007i | ||||
\(768\) | −1.01241 | − | 1.40535i | −0.0365323 | − | 0.0507114i | ||||
\(769\) | 2.70890 | − | 15.3629i | 0.0976855 | − | 0.554002i | −0.896206 | − | 0.443639i | \(-0.853687\pi\) |
0.993891 | − | 0.110363i | \(-0.0352015\pi\) | |||||||
\(770\) | −9.93392 | + | 4.13157i | −0.357994 | + | 0.148891i | ||||
\(771\) | −41.9947 | + | 30.2529i | −1.51240 | + | 1.08953i | ||||
\(772\) | −0.0596665 | + | 0.103345i | −0.00214744 | + | 0.00371948i | ||||
\(773\) | −9.91263 | + | 11.8134i | −0.356533 | + | 0.424899i | −0.914262 | − | 0.405124i | \(-0.867228\pi\) |
0.557729 | + | 0.830023i | \(0.311673\pi\) | |||||||
\(774\) | −24.4146 | − | 3.63236i | −0.877563 | − | 0.130562i | ||||
\(775\) | 12.6449 | + | 1.06952i | 0.454218 | + | 0.0384185i | ||||
\(776\) | 6.04679 | + | 7.20629i | 0.217067 | + | 0.258691i | ||||
\(777\) | −10.1278 | + | 2.85993i | −0.363332 | + | 0.102599i | ||||
\(778\) | 16.5751 | 0.594247 | ||||||||
\(779\) | 5.03991 | + | 2.97246i | 0.180573 | + | 0.106499i | ||||
\(780\) | −13.0659 | + | 10.3379i | −0.467833 | + | 0.370156i | ||||
\(781\) | −7.09510 | + | 1.25106i | −0.253883 | + | 0.0447664i | ||||
\(782\) | −21.3532 | − | 25.4477i | −0.763587 | − | 0.910008i | ||||
\(783\) | 18.8431 | − | 14.3580i | 0.673397 | − | 0.513112i | ||||
\(784\) | −4.52439 | − | 1.64674i | −0.161585 | − | 0.0588122i | ||||
\(785\) | −1.47938 | + | 11.3637i | −0.0528013 | + | 0.405587i | ||||
\(786\) | 7.47071 | − | 16.5989i | 0.266471 | − | 0.592064i | ||||
\(787\) | −13.1009 | − | 22.6914i | −0.466997 | − | 0.808862i | 0.532292 | − | 0.846561i | \(-0.321331\pi\) |
−0.999289 | + | 0.0376985i | \(0.987997\pi\) | |||||||
\(788\) | 3.49821 | − | 19.8393i | 0.124618 | − | 0.706747i | ||||
\(789\) | 1.06333 | − | 14.3728i | 0.0378554 | − | 0.511684i | ||||
\(790\) | 14.0796 | + | 7.30357i | 0.500929 | + | 0.259849i | ||||
\(791\) | 9.09782 | − | 15.7579i | 0.323481 | − | 0.560286i | ||||
\(792\) | 8.58430 | + | 4.65358i | 0.305030 | + | 0.165358i | ||||
\(793\) | −36.7181 | − | 13.3643i | −1.30390 | − | 0.474580i | ||||
\(794\) | −27.6653 | + | 10.0693i | −0.981804 | + | 0.357348i | ||||
\(795\) | −5.58093 | − | 1.15052i | −0.197935 | − | 0.0408048i | ||||
\(796\) | 4.04530 | + | 22.9420i | 0.143382 | + | 0.813159i | ||||
\(797\) | 28.0217i | 0.992578i | 0.868157 | + | 0.496289i | \(0.165304\pi\) | ||||
−0.868157 | + | 0.496289i | \(0.834696\pi\) | |||||||
\(798\) | 7.92438 | + | 7.85897i | 0.280520 | + | 0.278205i | ||||
\(799\) | 51.2183 | 1.81197 | ||||||||
\(800\) | 1.28015 | − | 4.83334i | 0.0452602 | − | 0.170885i | ||||
\(801\) | −8.39311 | + | 10.5659i | −0.296556 | + | 0.373326i | ||||
\(802\) | −1.03210 | − | 2.83566i | −0.0364446 | − | 0.100131i | ||||
\(803\) | 36.2648 | + | 13.1993i | 1.27976 | + | 0.465793i | ||||
\(804\) | 19.0988 | + | 12.9947i | 0.673561 | + | 0.458287i | ||||
\(805\) | −25.4395 | + | 1.14749i | −0.896624 | + | 0.0404438i | ||||
\(806\) | −5.45907 | − | 9.45540i | −0.192288 | − | 0.333052i | ||||
\(807\) | 2.07612 | − | 28.0625i | 0.0730829 | − | 0.987846i | ||||
\(808\) | 1.72071 | − | 9.75864i | 0.0605345 | − | 0.343308i | ||||
\(809\) | 44.9366 | − | 25.9441i | 1.57989 | − | 0.912147i | 0.585011 | − | 0.811025i | \(-0.301090\pi\) |
0.994874 | − | 0.101122i | \(-0.0322431\pi\) | |||||||
\(810\) | −18.1402 | + | 8.71395i | −0.637382 | + | 0.306177i | ||||
\(811\) | −14.4295 | + | 17.1965i | −0.506690 | + | 0.603849i | −0.957380 | − | 0.288831i | \(-0.906733\pi\) |
0.450690 | + | 0.892680i | \(0.351178\pi\) | |||||||
\(812\) | −2.30507 | + | 6.33313i | −0.0808921 | + | 0.222249i | ||||
\(813\) | −17.5054 | + | 8.45072i | −0.613943 | + | 0.296380i | ||||
\(814\) | 10.2482 | − | 8.59925i | 0.359199 | − | 0.301404i | ||||
\(815\) | 9.89175 | − | 9.09041i | 0.346493 | − | 0.318423i | ||||
\(816\) | 7.43080 | − | 0.750712i | 0.260130 | − | 0.0262802i | ||||
\(817\) | 35.8625 | + | 0.332639i | 1.25467 | + | 0.0116375i | ||||
\(818\) | 2.14608 | 0.0750359 | ||||||||
\(819\) | −17.7457 | + | 7.00370i | −0.620084 | + | 0.244729i | ||||
\(820\) | 0.898463 | − | 2.86396i | 0.0313757 | − | 0.100014i | ||||
\(821\) | 7.32798 | + | 20.1335i | 0.255748 | + | 0.702662i | 0.999418 | + | 0.0341151i | \(0.0108613\pi\) |
−0.743670 | + | 0.668547i | \(0.766916\pi\) | |||||||
\(822\) | −3.11337 | + | 12.2759i | −0.108591 | + | 0.428170i | ||||
\(823\) | 6.19125 | − | 7.37844i | 0.215813 | − | 0.257196i | −0.647267 | − | 0.762264i | \(-0.724088\pi\) |
0.863080 | + | 0.505067i | \(0.168532\pi\) | |||||||
\(824\) | 13.9919 | + | 8.07822i | 0.487430 | + | 0.281418i | ||||
\(825\) | 5.34670 | + | 27.6760i | 0.186148 | + | 0.963556i | ||||
\(826\) | −3.11057 | + | 17.6409i | −0.108230 | + | 0.613806i | ||||
\(827\) | 18.9143 | + | 3.33510i | 0.657715 | + | 0.115973i | 0.492538 | − | 0.870291i | \(-0.336069\pi\) |
0.165177 | + | 0.986264i | \(0.447180\pi\) | |||||||
\(828\) | 15.3258 | + | 17.2997i | 0.532608 | + | 0.601207i | ||||
\(829\) | 5.11519 | + | 2.95325i | 0.177658 | + | 0.102571i | 0.586192 | − | 0.810172i | \(-0.300627\pi\) |
−0.408534 | + | 0.912743i | \(0.633960\pi\) | |||||||
\(830\) | −0.746494 | + | 5.73411i | −0.0259112 | + | 0.199034i | ||||
\(831\) | 8.30415 | − | 32.7428i | 0.288068 | − | 1.13584i | ||||
\(832\) | −4.04242 | + | 1.47132i | −0.140146 | + | 0.0510089i | ||||
\(833\) | 15.9041 | − | 13.3451i | 0.551043 | − | 0.462380i | ||||
\(834\) | −0.891368 | + | 0.251708i | −0.0308655 | + | 0.00871595i | ||||
\(835\) | −14.9454 | − | 23.3850i | −0.517206 | − | 0.809272i | ||||
\(836\) | −13.2863 | − | 4.97587i | −0.459518 | − | 0.172094i | ||||
\(837\) | −3.92319 | − | 12.5908i | −0.135605 | − | 0.435203i | ||||
\(838\) | −4.14353 | − | 23.4991i | −0.143136 | − | 0.811764i | ||||
\(839\) | 15.2081 | − | 12.7611i | 0.525042 | − | 0.440563i | −0.341343 | − | 0.939939i | \(-0.610882\pi\) |
0.866385 | + | 0.499376i | \(0.166437\pi\) | |||||||
\(840\) | 3.00409 | − | 4.87383i | 0.103651 | − | 0.168163i | ||||
\(841\) | 7.71894 | + | 2.80946i | 0.266170 | + | 0.0968780i | ||||
\(842\) | −7.05483 | − | 5.91970i | −0.243125 | − | 0.204006i | ||||
\(843\) | −0.700647 | + | 1.55675i | −0.0241316 | + | 0.0536172i | ||||
\(844\) | 21.9153 | − | 12.6528i | 0.754357 | − | 0.435528i | ||||
\(845\) | 4.72787 | + | 11.3677i | 0.162644 | + | 0.391060i | ||||
\(846\) | −35.6213 | + | 0.956231i | −1.22468 | + | 0.0328759i | ||||
\(847\) | −0.519769 | + | 0.300089i | −0.0178595 | + | 0.0103112i | ||||
\(848\) | −1.27418 | − | 0.735646i | −0.0437554 | − | 0.0252622i | ||||
\(849\) | 8.96818 | − | 13.1809i | 0.307787 | − | 0.452366i | ||||
\(850\) | 15.2892 | + | 15.2012i | 0.524415 | + | 0.521397i | ||||
\(851\) | 29.7552 | − | 10.8300i | 1.02000 | − | 0.371248i | ||||
\(852\) | 2.67434 | − | 2.74709i | 0.0916213 | − | 0.0941138i | ||||
\(853\) | 9.20696 | − | 1.62344i | 0.315240 | − | 0.0555854i | −0.0137894 | − | 0.999905i | \(-0.504389\pi\) |
0.329030 | + | 0.944320i | \(0.393278\pi\) | |||||||
\(854\) | 13.4273 | 0.459473 | ||||||||
\(855\) | 24.3581 | − | 16.1767i | 0.833028 | − | 0.553231i | ||||
\(856\) | −10.9189 | −0.373201 | ||||||||
\(857\) | −23.2313 | + | 4.09630i | −0.793565 | + | 0.139927i | −0.555713 | − | 0.831374i | \(-0.687555\pi\) |
−0.237852 | + | 0.971301i | \(0.576443\pi\) | |||||||
\(858\) | 16.9170 | − | 17.3773i | 0.577538 | − | 0.593250i | ||||
\(859\) | 2.12716 | − | 0.774223i | 0.0725778 | − | 0.0264161i | −0.305476 | − | 0.952200i | \(-0.598816\pi\) |
0.378054 | + | 0.925784i | \(0.376593\pi\) | |||||||
\(860\) | −4.00793 | − | 17.9560i | −0.136669 | − | 0.612294i | ||||
\(861\) | 1.93341 | − | 2.84161i | 0.0658906 | − | 0.0968417i | ||||
\(862\) | 5.71872 | + | 3.30170i | 0.194780 | + | 0.112456i | ||||
\(863\) | −3.08356 | + | 1.78029i | −0.104966 | + | 0.0606019i | −0.551564 | − | 0.834133i | \(-0.685969\pi\) |
0.446598 | + | 0.894735i | \(0.352635\pi\) | |||||||
\(864\) | −5.15396 | + | 0.660836i | −0.175341 | + | 0.0224821i | ||||
\(865\) | 8.49828 | − | 3.53448i | 0.288950 | − | 0.120176i | ||||
\(866\) | −13.8425 | + | 7.99198i | −0.470388 | + | 0.271578i | ||||
\(867\) | −1.13274 | + | 2.51680i | −0.0384698 | + | 0.0854749i | ||||
\(868\) | 2.87407 | + | 2.41163i | 0.0975524 | + | 0.0818562i | ||||
\(869\) | −21.6953 | − | 7.89645i | −0.735963 | − | 0.267869i | ||||
\(870\) | 15.0315 | + | 9.26497i | 0.509615 | + | 0.314112i | ||||
\(871\) | 43.9508 | − | 36.8791i | 1.48922 | − | 1.24960i | ||||
\(872\) | 0.938193 | + | 5.32075i | 0.0317712 | + | 0.180183i | ||||
\(873\) | 27.6512 | − | 5.64464i | 0.935850 | − | 0.191042i | ||||
\(874\) | −25.5231 | − | 21.8230i | −0.863331 | − | 0.738174i | ||||
\(875\) | 16.3765 | − | 2.22817i | 0.553628 | − | 0.0753260i | ||||
\(876\) | −19.7638 | + | 5.58098i | −0.667757 | + | 0.188564i | ||||
\(877\) | 2.68068 | − | 2.24935i | 0.0905200 | − | 0.0759553i | −0.596405 | − | 0.802684i | \(-0.703405\pi\) |
0.686925 | + | 0.726729i | \(0.258960\pi\) | |||||||
\(878\) | 12.8292 | − | 4.66944i | 0.432964 | − | 0.157586i | ||||
\(879\) | 5.15307 | − | 20.3183i | 0.173809 | − | 0.685319i | ||||
\(880\) | −0.939563 | + | 7.21715i | −0.0316727 | + | 0.243290i | ||||
\(881\) | −46.7149 | − | 26.9708i | −1.57386 | − | 0.908671i | −0.995689 | − | 0.0927579i | \(-0.970432\pi\) |
−0.578175 | − | 0.815913i | \(-0.696235\pi\) | |||||||
\(882\) | −10.8118 | + | 9.57817i | −0.364052 | + | 0.322514i | ||||
\(883\) | 51.1621 | + | 9.02126i | 1.72174 | + | 0.303589i | 0.945204 | − | 0.326481i | \(-0.105863\pi\) |
0.776538 | + | 0.630071i | \(0.216974\pi\) | |||||||
\(884\) | 3.22111 | − | 18.2678i | 0.108338 | − | 0.614414i | ||||
\(885\) | 43.6212 | + | 17.3136i | 1.46631 | + | 0.581989i | ||||
\(886\) | 9.92133 | + | 5.72808i | 0.333314 | + | 0.192439i | ||||
\(887\) | −22.4066 | + | 26.7032i | −0.752341 | + | 0.896605i | −0.997338 | − | 0.0729185i | \(-0.976769\pi\) |
0.244997 | + | 0.969524i | \(0.421213\pi\) | |||||||
\(888\) | −1.75011 | + | 6.90061i | −0.0587300 | + | 0.231569i | ||||
\(889\) | −0.646470 | − | 1.77616i | −0.0216819 | − | 0.0595706i | ||||
\(890\) | −9.59651 | − | 3.01055i | −0.321676 | − | 0.100914i | ||||
\(891\) | 24.5466 | − | 15.9867i | 0.822344 | − | 0.535576i | ||||
\(892\) | −23.7590 | −0.795509 | ||||||||
\(893\) | 51.0698 | − | 8.51736i | 1.70898 | − | 0.285022i | ||||
\(894\) | −6.81196 | + | 0.688192i | −0.227826 | + | 0.0230166i | ||||
\(895\) | 8.04245 | + | 8.75141i | 0.268829 | + | 0.292527i | ||||
\(896\) | 1.13241 | − | 0.950206i | 0.0378312 | − | 0.0317442i | ||||
\(897\) | 51.6941 | − | 24.9552i | 1.72602 | − | 0.833231i | ||||
\(898\) | −8.26664 | + | 22.7124i | −0.275861 | + | 0.757923i | ||||
\(899\) | −7.43778 | + | 8.86400i | −0.248064 | + | 0.295631i | ||||
\(900\) | −10.9171 | − | 10.2867i | −0.363905 | − | 0.342890i | ||||
\(901\) | 5.49427 | − | 3.17212i | 0.183041 | − | 0.105678i | ||||
\(902\) | −0.758693 | + | 4.30276i | −0.0252617 | + | 0.143266i | ||||
\(903\) | 1.55430 | − | 21.0091i | 0.0517238 | − | 0.699139i | ||||
\(904\) | −6.15442 | − | 10.6598i | −0.204693 | − | 0.354538i | ||||
\(905\) | −57.4319 | + | 2.59056i | −1.90910 | + | 0.0861132i | ||||
\(906\) | −6.86983 | − | 4.67420i | −0.228235 | − | 0.155290i | ||||
\(907\) | −6.49266 | − | 2.36314i | −0.215585 | − | 0.0784666i | 0.231970 | − | 0.972723i | \(-0.425483\pi\) |
−0.447555 | + | 0.894256i | \(0.647705\pi\) | |||||||
\(908\) | 4.33192 | + | 11.9018i | 0.143760 | + | 0.394976i | ||||
\(909\) | −23.2772 | − | 18.4905i | −0.772056 | − | 0.613292i | ||||
\(910\) | −9.62182 | − | 10.4700i | −0.318960 | − | 0.347077i | ||||
\(911\) | −56.3500 | −1.86696 | −0.933479 | − | 0.358633i | \(-0.883243\pi\) | ||||
−0.933479 | + | 0.358633i | \(0.883243\pi\) | |||||||
\(912\) | 7.28442 | − | 1.98424i | 0.241211 | − | 0.0657049i | ||||
\(913\) | − | 8.41705i | − | 0.278564i | ||||||
\(914\) | 5.46543 | + | 30.9960i | 0.180781 | + | 1.02526i | ||||
\(915\) | 7.10289 | − | 34.4546i | 0.234814 | − | 1.13903i | ||||
\(916\) | 13.5596 | − | 4.93528i | 0.448020 | − | 0.163066i | ||||
\(917\) | 14.5986 | + | 5.31344i | 0.482087 | + | 0.175465i | ||||
\(918\) | 8.64420 | − | 20.6713i | 0.285301 | − | 0.682253i | ||||
\(919\) | 2.36992 | − | 4.10482i | 0.0781764 | − | 0.135406i | −0.824287 | − | 0.566173i | \(-0.808424\pi\) |
0.902463 | + | 0.430767i | \(0.141757\pi\) | |||||||
\(920\) | −7.93230 | + | 15.2916i | −0.261520 | + | 0.504150i | ||||
\(921\) | 0.896543 | − | 12.1184i | 0.0295421 | − | 0.399314i | ||||
\(922\) | −5.94171 | + | 33.6971i | −0.195680 | + | 1.10976i | ||||
\(923\) | −4.76105 | − | 8.24638i | −0.156712 | − | 0.271433i | ||||
\(924\) | −3.42033 | + | 7.59953i | −0.112521 | + | 0.250006i | ||||
\(925\) | −18.6004 | + | 8.73895i | −0.611577 | + | 0.287335i | ||||
\(926\) | 17.2916 | + | 6.29361i | 0.568236 | + | 0.206821i | ||||
\(927\) | 41.3102 | − | 25.3523i | 1.35681 | − | 0.832680i | ||||
\(928\) | 2.93055 | + | 3.49250i | 0.0962001 | + | 0.114647i | ||||
\(929\) | 40.4290 | − | 7.12872i | 1.32643 | − | 0.233886i | 0.534849 | − | 0.844948i | \(-0.320369\pi\) |
0.791582 | + | 0.611062i | \(0.209258\pi\) | |||||||
\(930\) | 7.70861 | − | 6.09916i | 0.252775 | − | 0.199999i | ||||
\(931\) | 13.6387 | − | 15.9512i | 0.446991 | − | 0.522779i | ||||
\(932\) | 2.45463 | 0.0804040 | ||||||||
\(933\) | −10.7780 | + | 3.04353i | −0.352855 | + | 0.0996408i | ||||
\(934\) | 20.4847 | + | 24.4128i | 0.670281 | + | 0.798810i | ||||
\(935\) | −24.9254 | − | 19.0688i | −0.815147 | − | 0.623618i | ||||
\(936\) | −1.89916 | + | 12.7651i | −0.0620761 | + | 0.417239i | ||||
\(937\) | −21.9810 | + | 26.1960i | −0.718089 | + | 0.855785i | −0.994444 | − | 0.105270i | \(-0.966429\pi\) |
0.276354 | + | 0.961056i | \(0.410874\pi\) | |||||||
\(938\) | −9.85775 | + | 17.0741i | −0.321867 | + | 0.557490i | ||||
\(939\) | 18.6459 | − | 13.4325i | 0.608487 | − | 0.438352i | ||||
\(940\) | −10.1995 | − | 24.5236i | −0.332671 | − | 0.799873i | ||||
\(941\) | −7.68867 | + | 43.6046i | −0.250644 | + | 1.42147i | 0.556369 | + | 0.830936i | \(0.312194\pi\) |
−0.807012 | + | 0.590535i | \(0.798917\pi\) | |||||||
\(942\) | 5.18849 | + | 7.20227i | 0.169050 | + | 0.234663i | ||||
\(943\) | −5.17071 | + | 8.95593i | −0.168382 | + | 0.291645i | ||||
\(944\) | 9.28267 | + | 7.78909i | 0.302125 | + | 0.253513i | ||||
\(945\) | −8.55913 | − | 14.8913i | −0.278429 | − | 0.484413i | ||||
\(946\) | 9.15933 | + | 25.1650i | 0.297795 | + | 0.818186i | ||||
\(947\) | 14.1159 | − | 11.8447i | 0.458706 | − | 0.384900i | −0.383948 | − | 0.923355i | \(-0.625436\pi\) |
0.842655 | + | 0.538454i | \(0.180991\pi\) | |||||||
\(948\) | 11.8236 | − | 3.33881i | 0.384014 | − | 0.108440i | ||||
\(949\) | 51.0064i | 1.65574i | ||||||||
\(950\) | 17.7728 | + | 12.6146i | 0.576625 | + | 0.409272i | ||||
\(951\) | −4.81632 | − | 47.6736i | −0.156180 | − | 1.54592i | ||||
\(952\) | 1.10688 | + | 6.27743i | 0.0358742 | + | 0.203453i | ||||
\(953\) | 0.970531 | + | 1.15663i | 0.0314386 | + | 0.0374671i | 0.781535 | − | 0.623862i | \(-0.214437\pi\) |
−0.750096 | + | 0.661329i | \(0.769993\pi\) | |||||||
\(954\) | −3.76193 | + | 2.30872i | −0.121797 | + | 0.0747476i | ||||
\(955\) | −5.64166 | − | 25.2752i | −0.182560 | − | 0.817888i | ||||
\(956\) | −19.7688 | + | 23.5596i | −0.639369 | + | 0.761971i | ||||
\(957\) | −23.4379 | − | 10.5487i | −0.757639 | − | 0.340992i | ||||
\(958\) | −13.1253 | − | 22.7336i | −0.424058 | − | 0.734489i | ||||
\(959\) | −10.6446 | − | 1.87693i | −0.343733 | − | 0.0606093i | ||||
\(960\) | −1.83920 | − | 3.40842i | −0.0593600 | − | 0.110006i | ||||
\(961\) | −12.2793 | − | 21.2683i | −0.396105 | − | 0.686074i | ||||
\(962\) | 15.3126 | + | 8.84074i | 0.493699 | + | 0.285037i | ||||
\(963\) | −15.6112 | + | 28.7975i | −0.503065 | + | 0.927986i | ||||
\(964\) | 1.98699 | − | 5.45921i | 0.0639967 | − | 0.175829i | ||||
\(965\) | −0.162134 | + | 0.211930i | −0.00521928 | + | 0.00682226i | ||||
\(966\) | −13.7595 | + | 14.1339i | −0.442706 | + | 0.454749i | ||||
\(967\) | 12.4716 | − | 2.19909i | 0.401061 | − | 0.0707179i | 0.0305203 | − | 0.999534i | \(-0.490284\pi\) |
0.370541 | + | 0.928816i | \(0.379172\pi\) | |||||||
\(968\) | 0.406003i | 0.0130494i | ||||||||
\(969\) | −8.29547 | + | 31.4803i | −0.266489 | + | 1.01129i | ||||
\(970\) | 11.3277 | + | 17.7244i | 0.363710 | + | 0.569097i | ||||
\(971\) | −4.46581 | − | 25.3269i | −0.143315 | − | 0.812778i | −0.968705 | − | 0.248216i | \(-0.920156\pi\) |
0.825390 | − | 0.564563i | \(-0.190955\pi\) | |||||||
\(972\) | −5.62594 | + | 14.5378i | −0.180452 | + | 0.466301i | ||||
\(973\) | −0.270370 | − | 0.742835i | −0.00866766 | − | 0.0238142i | ||||
\(974\) | 4.99500 | − | 13.7237i | 0.160050 | − | 0.439734i | ||||
\(975\) | −31.9559 | + | 19.1511i | −1.02341 | + | 0.613327i | ||||
\(976\) | 4.54160 | − | 7.86628i | 0.145373 | − | 0.251793i | ||||
\(977\) | −21.2084 | + | 12.2447i | −0.678516 | + | 0.391741i | −0.799296 | − | 0.600938i | \(-0.794794\pi\) |
0.120780 | + | 0.992679i | \(0.461461\pi\) | |||||||
\(978\) | 0.767775 | − | 10.3779i | 0.0245507 | − | 0.331847i | ||||
\(979\) | 14.4176 | + | 2.54221i | 0.460789 | + | 0.0812495i | ||||
\(980\) | −9.55682 | − | 4.95745i | −0.305281 | − | 0.158360i | ||||
\(981\) | 15.3743 | + | 5.13292i | 0.490863 | + | 0.163882i | ||||
\(982\) | −0.357177 | − | 0.299707i | −0.0113980 | − | 0.00956403i | ||||
\(983\) | 17.5558 | − | 48.2342i | 0.559944 | − | 1.53843i | −0.259776 | − | 0.965669i | \(-0.583649\pi\) |
0.819720 | − | 0.572764i | \(-0.194129\pi\) | |||||||
\(984\) | −1.01078 | − | 2.09381i | −0.0322226 | − | 0.0667481i | ||||
\(985\) | 13.4837 | − | 42.9810i | 0.429627 | − | 1.36949i | ||||
\(986\) | −19.3604 | + | 3.41376i | −0.616560 | + | 0.108716i | ||||
\(987\) | −3.05695 | − | 30.2587i | −0.0973038 | − | 0.963146i | ||||
\(988\) | 0.173919 | − | 18.7505i | 0.00553309 | − | 0.596534i | ||||
\(989\) | 63.3864i | 2.01557i | ||||||||
\(990\) | 17.6911 | + | 12.7966i | 0.562261 | + | 0.406704i | ||||
\(991\) | 10.9756 | + | 13.0802i | 0.348651 | + | 0.415506i | 0.911660 | − | 0.410944i | \(-0.134801\pi\) |
−0.563009 | + | 0.826451i | \(0.690356\pi\) | |||||||
\(992\) | 2.38495 | − | 0.868051i | 0.0757222 | − | 0.0275606i | ||||
\(993\) | −9.43457 | + | 37.2000i | −0.299397 | + | 1.18051i | ||||
\(994\) | 2.50658 | + | 2.10327i | 0.0795039 | + | 0.0667117i | ||||
\(995\) | 2.34728 | + | 52.0384i | 0.0744138 | + | 1.64973i | ||||
\(996\) | 2.61811 | + | 3.63426i | 0.0829579 | + | 0.115156i | ||||
\(997\) | 0.296241 | + | 0.0522353i | 0.00938205 | + | 0.00165431i | 0.178337 | − | 0.983969i | \(-0.442928\pi\) |
−0.168955 | + | 0.985624i | \(0.554039\pi\) | |||||||
\(998\) | −8.22992 | − | 1.45116i | −0.260514 | − | 0.0459356i | ||||
\(999\) | 15.6974 | + | 14.4818i | 0.496644 | + | 0.458185i |
(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 | 570.2.bf.a.29.35 | yes | 240 | |
3.2 | odd | 2 | inner | 570.2.bf.a.29.17 | yes | 240 | |
5.4 | even | 2 | inner | 570.2.bf.a.29.6 | ✓ | 240 | |
15.14 | odd | 2 | inner | 570.2.bf.a.29.24 | yes | 240 | |
19.2 | odd | 18 | inner | 570.2.bf.a.59.24 | yes | 240 | |
57.2 | even | 18 | inner | 570.2.bf.a.59.6 | yes | 240 | |
95.59 | odd | 18 | inner | 570.2.bf.a.59.17 | yes | 240 | |
285.59 | even | 18 | inner | 570.2.bf.a.59.35 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bf.a.29.6 | ✓ | 240 | 5.4 | even | 2 | inner | |
570.2.bf.a.29.17 | yes | 240 | 3.2 | odd | 2 | inner | |
570.2.bf.a.29.24 | yes | 240 | 15.14 | odd | 2 | inner | |
570.2.bf.a.29.35 | yes | 240 | 1.1 | even | 1 | trivial | |
570.2.bf.a.59.6 | yes | 240 | 57.2 | even | 18 | inner | |
570.2.bf.a.59.17 | yes | 240 | 95.59 | odd | 18 | inner | |
570.2.bf.a.59.24 | yes | 240 | 19.2 | odd | 18 | inner | |
570.2.bf.a.59.35 | yes | 240 | 285.59 | even | 18 | inner |