Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [668,2,Mod(9,668)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(668, base_ring=CyclotomicField(166))
chi = DirichletCharacter(H, H._module([0, 22]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("668.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 668 = 2^{2} \cdot 167 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 668.e (of order \(83\), degree \(82\), 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: | \(5.33400685502\) |
Analytic rank: | \(0\) |
Dimension: | \(1148\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{83})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{83}]$ |
Embedding invariants
Embedding label | 9.11 | ||
Character | \(\chi\) | \(=\) | 668.9 |
Dual form | 668.2.e.a.297.11 |
$q$-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 \(\left(\mathbb{Z}/668\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(335\) |
\(\chi(n)\) | \(e\left(\frac{11}{83}\right)\) | \(1\) |
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 | 0 | ||||||||
\(3\) | 0.200238 | + | 1.50264i | 0.115608 | + | 0.867552i | 0.949090 | + | 0.315005i | \(0.102006\pi\) |
−0.833482 | + | 0.552546i | \(0.813656\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.247141 | − | 0.109288i | −0.110525 | − | 0.0488749i | 0.348429 | − | 0.937335i | \(-0.386715\pi\) |
−0.458953 | + | 0.888460i | \(0.651776\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.16135 | − | 2.49738i | 0.438950 | − | 0.943921i | −0.554768 | − | 0.832005i | \(-0.687193\pi\) |
0.993718 | − | 0.111916i | \(-0.0356987\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.677472 | − | 0.183820i | 0.225824 | − | 0.0612734i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.49761 | − | 3.20234i | 0.753058 | − | 0.965543i | −0.246936 | − | 0.969032i | \(-0.579424\pi\) |
0.999994 | + | 0.00348855i | \(0.00111044\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.271031 | − | 0.529450i | 0.0751706 | − | 0.146843i | −0.849527 | − | 0.527545i | \(-0.823113\pi\) |
0.924698 | + | 0.380702i | \(0.124318\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.114733 | − | 0.393248i | 0.0296240 | − | 0.101536i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −4.18754 | − | 0.317608i | −1.01563 | − | 0.0770312i | −0.442727 | − | 0.896656i | \(-0.645989\pi\) |
−0.572900 | + | 0.819625i | \(0.694182\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.83233 | − | 2.75637i | 0.420365 | − | 0.632355i | −0.560244 | − | 0.828328i | \(-0.689293\pi\) |
0.980609 | + | 0.195973i | \(0.0627866\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 3.98522 | + | 1.24503i | 0.869646 | + | 0.271687i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 3.58513 | + | 1.42574i | 0.747552 | + | 0.297287i | 0.712094 | − | 0.702084i | \(-0.247747\pi\) |
0.0354583 | + | 0.999371i | \(0.488711\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.31523 | − | 3.64477i | −0.663046 | − | 0.728955i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 2.17209 | + | 5.17451i | 0.418019 | + | 0.995835i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 7.40935 | − | 2.94655i | 1.37588 | − | 0.547161i | 0.439531 | − | 0.898227i | \(-0.355145\pi\) |
0.936351 | + | 0.351066i | \(0.114181\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −7.51054 | + | 1.73561i | −1.34893 | + | 0.311724i | −0.836954 | − | 0.547274i | \(-0.815666\pi\) |
−0.511979 | + | 0.858998i | \(0.671087\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 5.31210 | + | 3.11179i | 0.924718 | + | 0.541693i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.559950 | + | 0.490282i | −0.0946488 | + | 0.0828728i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.34597 | + | 1.45054i | 0.878873 | + | 0.238467i | 0.672581 | − | 0.740024i | \(-0.265186\pi\) |
0.206292 | + | 0.978491i | \(0.433860\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.849845 | + | 0.301248i | 0.136084 | + | 0.0482382i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 8.67736 | − | 4.23675i | 1.35518 | − | 0.661669i | 0.389406 | − | 0.921066i | \(-0.372680\pi\) |
0.965771 | + | 0.259397i | \(0.0835238\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.643414 | + | 6.77922i | −0.0981198 | + | 1.03382i | 0.801749 | + | 0.597661i | \(0.203903\pi\) |
−0.899869 | + | 0.436161i | \(0.856338\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −0.187520 | − | 0.0286098i | −0.0279538 | − | 0.00426490i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 0.215760 | + | 11.3993i | 0.0314719 | + | 1.66276i | 0.571119 | + | 0.820867i | \(0.306509\pi\) |
−0.539648 | + | 0.841891i | \(0.681442\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.377389 | − | 0.447839i | −0.0539127 | − | 0.0639770i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.361254 | − | 6.35597i | −0.0505856 | − | 0.890014i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.737486 | − | 4.28786i | −0.101301 | − | 0.588983i | −0.991152 | − | 0.132731i | \(-0.957625\pi\) |
0.889851 | − | 0.456252i | \(-0.150808\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.967238 | + | 0.518471i | −0.130422 | + | 0.0699106i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 4.50874 | + | 2.20141i | 0.597198 | + | 0.291584i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 1.52942 | − | 0.116001i | 0.199114 | − | 0.0151020i | 0.0243062 | − | 0.999705i | \(-0.492262\pi\) |
0.174808 | + | 0.984603i | \(0.444070\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −7.21740 | + | 7.35530i | −0.924093 | + | 0.941749i | −0.998460 | − | 0.0554817i | \(-0.982331\pi\) |
0.0743668 | + | 0.997231i | \(0.476306\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0.327714 | − | 1.90538i | 0.0412881 | − | 0.240056i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −0.124845 | + | 0.101228i | −0.0154851 | + | 0.0125558i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −11.7033 | + | 5.17529i | −1.42978 | + | 0.632262i | −0.967131 | − | 0.254278i | \(-0.918162\pi\) |
−0.462651 | + | 0.886540i | \(0.653102\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −1.42449 | + | 5.67267i | −0.171489 | + | 0.682909i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −10.4610 | + | 1.19300i | −1.24150 | + | 0.141583i | −0.709221 | − | 0.704987i | \(-0.750953\pi\) |
−0.532278 | + | 0.846570i | \(0.678664\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 11.5486 | − | 8.66068i | 1.35166 | − | 1.01366i | 0.354763 | − | 0.934956i | \(-0.384562\pi\) |
0.996898 | − | 0.0786999i | \(-0.0250769\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 4.81296 | − | 5.71143i | 0.555753 | − | 0.659499i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −5.09687 | − | 9.95653i | −0.580842 | − | 1.13465i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.00491 | − | 7.99342i | 0.338079 | − | 0.899330i | −0.651924 | − | 0.758284i | \(-0.726038\pi\) |
0.990003 | − | 0.141046i | \(-0.0450465\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −5.52342 | + | 3.23558i | −0.613714 | + | 0.359509i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 2.42434 | − | 3.36352i | 0.266106 | − | 0.369194i | −0.656901 | − | 0.753977i | \(-0.728133\pi\) |
0.923007 | + | 0.384782i | \(0.125724\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.00020 | + | 0.536140i | 0.108487 | + | 0.0581525i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 5.91125 | + | 10.5436i | 0.633753 | + | 1.13039i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 5.19207 | + | 17.7958i | 0.550358 | + | 1.88635i | 0.454004 | + | 0.891000i | \(0.349995\pi\) |
0.0963537 | + | 0.995347i | \(0.469282\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.00747 | − | 1.29175i | −0.105612 | − | 0.135412i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −4.11190 | − | 10.9381i | −0.426384 | − | 1.13423i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −0.754080 | + | 0.480960i | −0.0773670 | + | 0.0493454i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.75883 | + | 0.406447i | 0.178582 | + | 0.0412685i | 0.313499 | − | 0.949588i | \(-0.398499\pi\) |
−0.134917 | + | 0.990857i | \(0.543077\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 1.10340 | − | 2.62861i | 0.110896 | − | 0.264185i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −1.70320 | − | 17.9454i | −0.169474 | − | 1.78564i | −0.525131 | − | 0.851021i | \(-0.675984\pi\) |
0.355656 | − | 0.934617i | \(-0.384257\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −8.12832 | + | 5.62806i | −0.800907 | + | 0.554549i | −0.897624 | − | 0.440763i | \(-0.854708\pi\) |
0.0967167 | + | 0.995312i | \(0.469166\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −0.848843 | − | 0.743232i | −0.0828386 | − | 0.0725320i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −7.64010 | − | 5.29002i | −0.738596 | − | 0.511405i | 0.139304 | − | 0.990250i | \(-0.455514\pi\) |
−0.877900 | + | 0.478844i | \(0.841056\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −14.8959 | − | 9.50073i | −1.42677 | − | 0.910005i | −0.999984 | − | 0.00565063i | \(-0.998201\pi\) |
−0.426782 | − | 0.904354i | \(-0.640353\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.10917 | + | 8.32355i | −0.105278 | + | 0.790036i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 5.21336 | − | 8.52552i | 0.490431 | − | 0.802014i | −0.507799 | − | 0.861475i | \(-0.669541\pi\) |
0.998231 | + | 0.0594618i | \(0.0189384\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.730216 | − | 0.744168i | −0.0680930 | − | 0.0693941i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0.0862925 | − | 0.408508i | 0.00797775 | − | 0.0377666i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −5.65639 | + | 10.0890i | −0.518521 | + | 0.924859i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.33786 | − | 5.32766i | −0.121624 | − | 0.484333i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 8.10387 | + | 12.1906i | 0.730701 | + | 1.09919i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 0.848237 | + | 2.54489i | 0.0758686 | + | 0.227622i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −5.09852 | − | 0.581446i | −0.452421 | − | 0.0515950i | −0.115878 | − | 0.993263i | \(-0.536968\pi\) |
−0.336542 | + | 0.941668i | \(0.609257\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −10.3156 | + | 0.390637i | −0.908237 | + | 0.0343937i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −0.128148 | + | 2.25466i | −0.0111963 | + | 0.196991i | 0.987920 | + | 0.154964i | \(0.0495261\pi\) |
−0.999116 | + | 0.0420269i | \(0.986618\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −4.75572 | − | 7.77714i | −0.412373 | − | 0.674364i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0.0286982 | − | 1.51621i | 0.00246994 | − | 0.130495i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 8.34193 | − | 2.95699i | 0.712699 | − | 0.252633i | 0.0470441 | − | 0.998893i | \(-0.485020\pi\) |
0.665655 | + | 0.746260i | \(0.268152\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −6.83071 | − | 6.45349i | −0.579373 | − | 0.547378i | 0.340172 | − | 0.940363i | \(-0.389515\pi\) |
−0.919545 | + | 0.392985i | \(0.871442\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −17.0859 | + | 2.60679i | −1.43889 | + | 0.219531i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −1.01855 | − | 2.19030i | −0.0851754 | − | 0.183162i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.15317 | − | 0.0815376i | −0.178811 | − | 0.00677133i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0.597374 | − | 0.656756i | 0.0492706 | − | 0.0541683i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −3.36740 | − | 2.73039i | −0.275868 | − | 0.223682i | 0.481867 | − | 0.876245i | \(-0.339959\pi\) |
−0.757735 | + | 0.652563i | \(0.773694\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 5.36548 | + | 4.02376i | 0.436637 | + | 0.327449i | 0.795513 | − | 0.605937i | \(-0.207201\pi\) |
−0.358876 | + | 0.933385i | \(0.616840\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −2.89532 | + | 0.554584i | −0.234073 | + | 0.0448354i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 2.04584 | + | 0.391870i | 0.164326 | + | 0.0314758i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3.37207 | + | 15.9634i | 0.269121 | + | 1.27401i | 0.877195 | + | 0.480134i | \(0.159412\pi\) |
−0.608074 | + | 0.793880i | \(0.708058\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 6.29546 | − | 1.96677i | 0.499262 | − | 0.155975i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 7.72421 | − | 7.29766i | 0.608753 | − | 0.575136i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.10580 | − | 3.31765i | 0.0866132 | − | 0.259858i | −0.896444 | − | 0.443157i | \(-0.853858\pi\) |
0.983057 | + | 0.183299i | \(0.0586777\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −0.972755 | − | 1.34960i | −0.0757289 | − | 0.105066i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −8.23680 | + | 9.95767i | −0.637382 | + | 0.770548i | ||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 7.39449 | + | 10.2591i | 0.568807 | + | 0.789159i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0.734675 | − | 2.20418i | 0.0561820 | − | 0.168558i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −2.92107 | + | 2.75976i | −0.222085 | + | 0.209821i | −0.789733 | − | 0.613450i | \(-0.789781\pi\) |
0.567648 | + | 0.823271i | \(0.307853\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −12.9525 | + | 4.04652i | −0.979119 | + | 0.305888i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.480557 | + | 2.27495i | 0.0361209 | + | 0.170996i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 16.0825 | + | 3.08052i | 1.20206 | + | 0.230249i | 0.749817 | − | 0.661645i | \(-0.230142\pi\) |
0.452244 | + | 0.891894i | \(0.350624\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −11.8450 | + | 2.26885i | −0.880432 | + | 0.168642i | −0.608385 | − | 0.793642i | \(-0.708182\pi\) |
−0.272047 | + | 0.962284i | \(0.587701\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −12.4976 | − | 9.37236i | −0.923848 | − | 0.692825i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −1.16268 | − | 0.942735i | −0.0854820 | − | 0.0693113i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −11.4759 | + | 12.6167i | −0.839203 | + | 0.922623i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 15.4453 | + | 0.584891i | 1.12348 | + | 0.0425446i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 9.45105 | + | 20.3236i | 0.683854 | + | 1.47056i | 0.872548 | + | 0.488528i | \(0.162466\pi\) |
−0.188694 | + | 0.982036i | \(0.560425\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −16.0175 | + | 2.44378i | −1.15296 | + | 0.175907i | −0.699005 | − | 0.715117i | \(-0.746374\pi\) |
−0.453957 | + | 0.891024i | \(0.649988\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.177108 | − | 0.167328i | −0.0126830 | − | 0.0119826i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −11.2829 | + | 3.99948i | −0.803871 | + | 0.284951i | −0.704138 | − | 0.710063i | \(-0.748666\pi\) |
−0.0997328 | + | 0.995014i | \(0.531799\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −0.149578 | + | 7.90267i | −0.0106033 | + | 0.560205i | 0.954482 | + | 0.298269i | \(0.0964093\pi\) |
−0.965085 | + | 0.261936i | \(0.915639\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −10.1201 | − | 16.5496i | −0.713814 | − | 1.16732i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 1.24620 | − | 21.9260i | 0.0874662 | − | 1.53890i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.60755 | + | 0.0987444i | −0.182119 | + | 0.00689661i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 2.69091 | + | 0.306877i | 0.187031 | + | 0.0213294i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −4.25040 | − | 12.7521i | −0.294006 | − | 0.882081i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −7.40703 | − | 11.1424i | −0.509921 | − | 0.767073i | 0.484245 | − | 0.874932i | \(-0.339094\pi\) |
−0.994166 | + | 0.107859i | \(0.965600\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −3.88736 | − | 15.4803i | −0.266357 | − | 1.06070i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0.899899 | − | 1.60510i | 0.0613726 | − | 0.109467i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −4.38791 | + | 20.7723i | −0.297871 | + | 1.41012i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 15.3264 | + | 15.6192i | 1.03566 | + | 1.05545i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −1.30311 | + | 2.13101i | −0.0876568 | + | 0.143347i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −2.10069 | + | 15.7642i | −0.140673 | + | 1.05565i | 0.768684 | + | 0.639629i | \(0.220912\pi\) |
−0.909357 | + | 0.416017i | \(0.863426\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −2.91596 | − | 1.85982i | −0.194397 | − | 0.123988i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 13.5606 | + | 9.38939i | 0.900049 | + | 0.623196i | 0.926434 | − | 0.376456i | \(-0.122857\pi\) |
−0.0263850 | + | 0.999652i | \(0.508400\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −18.8871 | − | 16.5372i | −1.24809 | − | 1.09281i | −0.992011 | − | 0.126152i | \(-0.959737\pi\) |
−0.256081 | − | 0.966655i | \(-0.582431\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 13.9405 | − | 9.65245i | 0.917220 | − | 0.635085i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 0.401628 | + | 4.23169i | 0.0263115 | + | 0.277227i | 0.998985 | + | 0.0450487i | \(0.0143443\pi\) |
−0.972673 | + | 0.232178i | \(0.925415\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.19248 | − | 2.84081i | 0.0777887 | − | 0.185314i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 12.6130 | + | 2.91473i | 0.819300 | + | 0.189332i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −0.610311 | + | 0.389262i | −0.0394777 | + | 0.0251793i | −0.557334 | − | 0.830288i | \(-0.688176\pi\) |
0.517857 | + | 0.855467i | \(0.326730\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 5.53687 | + | 14.7287i | 0.356661 | + | 0.948761i | 0.985265 | + | 0.171035i | \(0.0547111\pi\) |
−0.628604 | + | 0.777726i | \(0.716373\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 4.38603 | + | 5.62360i | 0.281364 | + | 0.360754i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0.0443249 | + | 0.151923i | 0.00283181 | + | 0.00970601i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.962740 | − | 1.71719i | −0.0612577 | − | 0.109262i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 5.53962 | + | 2.96942i | 0.351059 | + | 0.188179i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 13.2505 | − | 18.3837i | 0.836366 | − | 1.16037i | −0.148817 | − | 0.988865i | \(-0.547546\pi\) |
0.985183 | − | 0.171506i | \(-0.0548632\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 13.5200 | − | 7.91990i | 0.849993 | − | 0.497920i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −0.605349 | + | 1.61030i | −0.0379084 | + | 0.100841i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −5.99892 | − | 11.7187i | −0.374202 | − | 0.730990i | 0.624547 | − | 0.780987i | \(-0.285284\pi\) |
−0.998749 | + | 0.0499970i | \(0.984079\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 9.83110 | − | 11.6663i | 0.610875 | − | 0.724911i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 4.47799 | − | 3.35819i | 0.277181 | − | 0.207867i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 3.41090 | − | 0.388987i | 0.210325 | − | 0.0239859i | −0.00750857 | − | 0.999972i | \(-0.502390\pi\) |
0.217834 | + | 0.975986i | \(0.430101\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.286348 | + | 1.14030i | −0.0175902 | + | 0.0700482i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −25.7010 | + | 11.3652i | −1.57288 | + | 0.695540i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 4.53647 | − | 3.67830i | 0.276593 | − | 0.224270i | −0.481451 | − | 0.876473i | \(-0.659890\pi\) |
0.758044 | + | 0.652203i | \(0.226155\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −3.61935 | + | 21.0435i | −0.219860 | + | 1.27830i | 0.640241 | + | 0.768175i | \(0.278835\pi\) |
−0.860100 | + | 0.510125i | \(0.829599\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 1.73930 | − | 1.77253i | 0.105267 | − | 0.107278i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −19.9520 | + | 1.51328i | −1.20315 | + | 0.0912540i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 25.1050 | + | 12.2576i | 1.50841 | + | 0.736487i | 0.992738 | − | 0.120298i | \(-0.0383850\pi\) |
0.515674 | + | 0.856785i | \(0.327542\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −4.76914 | + | 2.55641i | −0.285521 | + | 0.153049i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 2.21858 | + | 12.8992i | 0.132350 | + | 0.769502i | 0.973498 | + | 0.228697i | \(0.0734466\pi\) |
−0.841148 | + | 0.540805i | \(0.818120\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1.06882 | + | 18.8050i | 0.0635346 | + | 1.11784i | 0.859044 | + | 0.511901i | \(0.171059\pi\) |
−0.795510 | + | 0.605941i | \(0.792797\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −0.873706 | − | 1.03681i | −0.0517539 | − | 0.0614152i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −0.503302 | − | 26.5910i | −0.0297090 | − | 1.56962i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 0.629072 | + | 0.0959772i | 0.0370042 | + | 0.00564572i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −0.258561 | + | 2.72428i | −0.0151571 | + | 0.159700i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −3.30340 | + | 1.61290i | −0.192987 | + | 0.0942264i | −0.532706 | − | 0.846301i | \(-0.678825\pi\) |
0.339719 | + | 0.940527i | \(0.389668\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.390660 | − | 0.138479i | −0.0227451 | − | 0.00806254i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 21.9956 | + | 5.96813i | 1.27631 | + | 0.346306i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 1.72654 | − | 1.51173i | 0.0998484 | − | 0.0874255i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 16.1831 | + | 9.47992i | 0.932777 | + | 0.546413i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 26.6246 | − | 6.15266i | 1.52954 | − | 0.353461i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 2.58755 | − | 1.02902i | 0.148163 | − | 0.0589215i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 1.67680 | + | 3.99460i | 0.0957003 | + | 0.227984i | 0.962835 | − | 0.270089i | \(-0.0870532\pi\) |
−0.867135 | + | 0.498073i | \(0.834041\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −10.0846 | − | 11.0870i | −0.573691 | − | 0.630718i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −15.2207 | − | 6.05299i | −0.863089 | − | 0.343234i | −0.104281 | − | 0.994548i | \(-0.533254\pi\) |
−0.758808 | + | 0.651314i | \(0.774218\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 9.43465 | + | 2.94749i | 0.533278 | + | 0.166602i | 0.552965 | − | 0.833204i | \(-0.313496\pi\) |
−0.0196878 | + | 0.999806i | \(0.506267\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −0.289226 | + | 0.435082i | −0.0162961 | + | 0.0245141i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −2.44667 | − | 0.185570i | −0.137418 | − | 0.0104226i | 0.00673976 | − | 0.999977i | \(-0.497855\pi\) |
−0.144158 | + | 0.989555i | \(0.546047\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 9.06980 | − | 31.0866i | 0.507811 | − | 1.74052i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 6.41917 | − | 12.5396i | 0.358283 | − | 0.699893i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −8.54840 | + | 10.9604i | −0.475646 | + | 0.609855i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −2.82826 | + | 0.767398i | −0.156883 | + | 0.0425676i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 11.2935 | − | 24.2856i | 0.624531 | − | 1.34300i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 28.7189 | + | 12.6998i | 1.58333 | + | 0.700161i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −2.70250 | − | 20.2803i | −0.148543 | − | 1.11471i | −0.893972 | − | 0.448122i | \(-0.852093\pi\) |
0.745430 | − | 0.666584i | \(-0.232244\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 3.88838 | 0.213082 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 3.45795 | 0.188928 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −2.11788 | − | 15.8932i | −0.115368 | − | 0.865757i | −0.949406 | − | 0.314050i | \(-0.898314\pi\) |
0.834038 | − | 0.551707i | \(-0.186023\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 13.8547 | + | 6.12668i | 0.752486 | + | 0.332756i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −13.2004 | + | 28.3862i | −0.714841 | + | 1.53720i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 17.0500 | − | 4.62621i | 0.920612 | − | 0.249792i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0.972003 | − | 1.24627i | 0.0523309 | − | 0.0670967i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 8.04335 | − | 15.7124i | 0.431790 | − | 0.843485i | −0.568001 | − | 0.823028i | \(-0.692283\pi\) |
0.999791 | − | 0.0204570i | \(-0.00651212\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.91370 | − | 13.4142i | 0.209495 | − | 0.718043i | −0.785566 | − | 0.618778i | \(-0.787628\pi\) |
0.995061 | − | 0.0992650i | \(-0.0316492\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 3.32835 | + | 0.252442i | 0.177654 | + | 0.0134743i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 2.54329 | − | 3.82587i | 0.135366 | − | 0.203630i | −0.758851 | − | 0.651264i | \(-0.774239\pi\) |
0.894217 | + | 0.447633i | \(0.147733\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 2.71573 | + | 0.848425i | 0.144136 | + | 0.0450297i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −16.2928 | − | 6.47934i | −0.862308 | − | 0.342923i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 15.4888 | + | 17.0284i | 0.817467 | + | 0.898726i | 0.996369 | − | 0.0851406i | \(-0.0271339\pi\) |
−0.178902 | + | 0.983867i | \(0.557254\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 3.11382 | + | 7.41795i | 0.163885 | + | 0.390419i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 7.73769 | − | 3.07713i | 0.406123 | − | 0.161507i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −3.80063 | + | 0.878287i | −0.198934 | + | 0.0459716i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −19.9202 | − | 11.6691i | −1.03983 | − | 0.609124i | −0.116522 | − | 0.993188i | \(-0.537175\pi\) |
−0.923306 | + | 0.384065i | \(0.874524\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 5.09987 | − | 4.46535i | 0.265488 | − | 0.232457i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −11.5649 | − | 3.13794i | −0.600420 | − | 0.162914i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −17.6358 | − | 6.25144i | −0.913149 | − | 0.323687i | −0.164287 | − | 0.986413i | \(-0.552532\pi\) |
−0.748863 | + | 0.662725i | \(0.769400\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −3.65421 | + | 1.78418i | −0.188703 | + | 0.0921347i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0.448115 | − | 4.72149i | 0.0230791 | − | 0.243169i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −23.5684 | − | 3.59582i | −1.21063 | − | 0.184705i | −0.486070 | − | 0.873920i | \(-0.661570\pi\) |
−0.724557 | + | 0.689215i | \(0.757956\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −0.147212 | − | 7.77769i | −0.00754191 | − | 0.398463i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 8.32030 | + | 9.87351i | 0.425148 | + | 0.504513i | 0.934460 | − | 0.356069i | \(-0.115883\pi\) |
−0.509312 | + | 0.860582i | \(0.670100\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.171516 | + | 3.01769i | 0.00874126 | + | 0.153796i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0.810263 | + | 4.71100i | 0.0411880 | + | 0.239474i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 19.6029 | − | 10.5078i | 0.993908 | − | 0.532767i | 0.106776 | − | 0.994283i | \(-0.465947\pi\) |
0.887132 | + | 0.461516i | \(0.152694\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −14.5601 | − | 7.10900i | −0.736334 | − | 0.359517i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −3.41361 | + | 0.258909i | −0.172194 | + | 0.0130602i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −1.61622 | + | 1.64710i | −0.0813208 | + | 0.0828745i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −1.98213 | + | 11.5244i | −0.0994803 | + | 0.578395i | 0.892403 | + | 0.451240i | \(0.149018\pi\) |
−0.991883 | + | 0.127155i | \(0.959416\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 10.7340 | − | 8.70344i | 0.537372 | − | 0.435717i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 1.77807 | − | 0.786277i | 0.0887925 | − | 0.0392648i | −0.359557 | − | 0.933123i | \(-0.617072\pi\) |
0.448350 | + | 0.893858i | \(0.352012\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.11668 | + | 4.44686i | −0.0556255 | + | 0.221514i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 1.71867 | − | 0.196001i | 0.0854014 | − | 0.00973936i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 17.9973 | − | 13.4968i | 0.892092 | − | 0.669010i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −10.0717 | + | 11.9519i | −0.498015 | + | 0.590983i | −0.954300 | − | 0.298851i | \(-0.903397\pi\) |
0.456285 | + | 0.889834i | \(0.349180\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 6.11368 | + | 11.9428i | 0.301565 | + | 0.589097i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 1.48650 | − | 3.95427i | 0.0731460 | − | 0.194577i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.966744 | + | 0.566311i | −0.0474556 | + | 0.0277991i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 8.32953 | − | 11.5564i | 0.407899 | − | 0.565917i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 13.1663 | + | 7.05760i | 0.643218 | + | 0.344786i | 0.761472 | − | 0.648197i | \(-0.224477\pi\) |
−0.118254 | + | 0.992983i | \(0.537730\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −6.75587 | − | 12.0501i | −0.329261 | − | 0.587286i | 0.656722 | − | 0.754133i | \(-0.271943\pi\) |
−0.985983 | + | 0.166847i | \(0.946641\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 2.24159 | + | 7.68304i | 0.108990 | + | 0.373562i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 12.7250 | + | 16.3156i | 0.617255 | + | 0.791421i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 9.98703 | + | 26.5667i | 0.483306 | + | 1.28565i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 3.08728 | − | 1.96910i | 0.149055 | − | 0.0950689i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −32.4457 | − | 7.49787i | −1.56286 | − | 0.361160i | −0.646943 | − | 0.762538i | \(-0.723953\pi\) |
−0.915912 | + | 0.401379i | \(0.868531\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −6.88553 | + | 16.4032i | −0.330897 | + | 0.788287i | 0.668124 | + | 0.744050i | \(0.267098\pi\) |
−0.999021 | + | 0.0442368i | \(0.985914\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −0.308625 | − | 3.25178i | −0.0147975 | − | 0.155911i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 10.4990 | − | 7.26953i | 0.502236 | − | 0.347749i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −3.00689 | − | 2.63278i | −0.143511 | − | 0.125656i | 0.583994 | − | 0.811758i | \(-0.301489\pi\) |
−0.727505 | + | 0.686102i | \(0.759320\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −0.337992 | − | 0.234026i | −0.0160949 | − | 0.0111441i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 15.9503 | + | 10.1733i | 0.757823 | + | 0.483347i | 0.859288 | − | 0.511492i | \(-0.170907\pi\) |
−0.101465 | + | 0.994839i | \(0.532353\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.661687 | − | 4.96548i | 0.0313669 | − | 0.235386i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 3.42852 | − | 5.60673i | 0.162163 | − | 0.265189i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 16.6433 | + | 16.9613i | 0.785447 | + | 0.800454i | 0.983723 | − | 0.179692i | \(-0.0575102\pi\) |
−0.198276 | + | 0.980146i | \(0.563534\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 8.10514 | − | 38.3697i | 0.381656 | − | 1.80676i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −4.97190 | + | 8.86811i | −0.233600 | + | 0.416660i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0.107816 | + | 0.429347i | 0.00505448 | + | 0.0201281i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 20.4243 | + | 30.7242i | 0.955409 | + | 1.43722i | 0.898567 | + | 0.438836i | \(0.144609\pi\) |
0.0568424 | + | 0.998383i | \(0.481897\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −7.45225 | − | 22.3583i | −0.347841 | − | 1.04360i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −6.26787 | − | 0.714801i | −0.291924 | − | 0.0332916i | −0.0338836 | − | 0.999426i | \(-0.510788\pi\) |
−0.258040 | + | 0.966134i | \(0.583077\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −0.912225 | + | 0.0345447i | −0.0423947 | + | 0.00160543i | −0.0590303 | − | 0.998256i | \(-0.518801\pi\) |
0.0166356 | + | 0.999862i | \(0.494704\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −0.179186 | + | 3.15263i | −0.00830954 | + | 0.146200i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 13.2200 | + | 21.6190i | 0.611749 | + | 1.00041i | 0.996985 | + | 0.0775892i | \(0.0247223\pi\) |
−0.385237 | + | 0.922818i | \(0.625880\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.666965 | + | 35.2379i | −0.0307976 | + | 1.62713i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −23.3120 | + | 8.26349i | −1.07416 | + | 0.380762i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 20.1024 | + | 18.9923i | 0.924310 | + | 0.873267i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −16.1209 | + | 2.45956i | −0.739679 | + | 0.112853i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −1.28782 | − | 2.76934i | −0.0589653 | − | 0.126799i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −12.6826 | − | 0.480274i | −0.579485 | − | 0.0219443i | −0.253527 | − | 0.967328i | \(-0.581591\pi\) |
−0.325958 | + | 0.945384i | \(0.605687\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 2.21691 | − | 2.43728i | 0.101083 | − | 0.111131i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 12.5125 | + | 10.1455i | 0.569337 | + | 0.461635i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −0.390258 | − | 0.292668i | −0.0177207 | − | 0.0132894i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −20.0413 | + | 3.83880i | −0.908157 | + | 0.173953i | −0.620890 | − | 0.783898i | \(-0.713229\pi\) |
−0.287267 | + | 0.957851i | \(0.592747\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 5.20666 | + | 0.997310i | 0.235453 | + | 0.0450999i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −3.25925 | − | 15.4293i | −0.147088 | − | 0.696314i | −0.987913 | − | 0.155007i | \(-0.950460\pi\) |
0.840825 | − | 0.541307i | \(-0.182070\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −31.9628 | + | 9.98554i | −1.43953 | + | 0.449726i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −0.559970 | + | 0.529047i | −0.0251688 | + | 0.0237789i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −9.16959 | + | 27.5107i | −0.411312 | + | 1.23402i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 5.62572 | + | 7.80509i | 0.251842 | + | 0.349404i | 0.918122 | − | 0.396297i | \(-0.129705\pi\) |
−0.666281 | + | 0.745701i | \(0.732115\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −16.6121 | − | 10.3831i | −0.742176 | − | 0.463881i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 12.0017 | + | 16.6512i | 0.535132 | + | 0.742439i | 0.988884 | − | 0.148689i | \(-0.0475053\pi\) |
−0.453752 | + | 0.891128i | \(0.649915\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −1.54029 | + | 4.62118i | −0.0685418 | + | 0.205640i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −13.9351 | + | 13.1655i | −0.618878 | + | 0.584702i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −7.54924 | + | 2.35847i | −0.334614 | + | 0.104537i | −0.460888 | − | 0.887458i | \(-0.652469\pi\) |
0.126274 | + | 0.991995i | \(0.459698\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −8.21703 | − | 38.8993i | −0.363500 | − | 1.72081i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 18.2428 | + | 3.49432i | 0.805441 | + | 0.154278i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 2.62391 | − | 0.502597i | 0.115623 | − | 0.0221471i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 37.0434 | + | 27.7801i | 1.62917 | + | 1.22177i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −4.73184 | − | 3.83672i | −0.207705 | − | 0.168413i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 22.5956 | − | 24.8417i | 0.989933 | − | 1.08834i | −0.00615630 | − | 0.999981i | \(-0.501960\pi\) |
0.996089 | − | 0.0883546i | \(-0.0281609\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −37.4028 | − | 1.41639i | −1.63551 | − | 0.0619345i | −0.796006 | − | 0.605289i | \(-0.793058\pi\) |
−0.839503 | + | 0.543354i | \(0.817154\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −8.67407 | − | 18.6528i | −0.378567 | − | 0.814074i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 32.0019 | − | 4.88252i | 1.39403 | − | 0.212686i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −5.89807 | − | 5.57236i | −0.256438 | − | 0.242277i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 1.01482 | − | 0.359726i | 0.0440394 | − | 0.0156108i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0.108692 | − | 5.74252i | 0.00470796 | − | 0.248736i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.31004 | + | 2.14235i | 0.0566382 | + | 0.0926217i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −1.40859 | + | 24.7831i | −0.0607852 | + | 1.06947i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −2.37671 | + | 0.0900025i | −0.102372 | + | 0.00387668i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −29.9258 | − | 3.41280i | −1.28661 | − | 0.146728i | −0.556954 | − | 0.830543i | \(-0.688030\pi\) |
−0.729655 | + | 0.683816i | \(0.760319\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −5.78109 | − | 17.3445i | −0.248090 | − | 0.744324i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 2.64306 | + | 3.97595i | 0.113216 | + | 0.170311i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −1.36330 | − | 5.42899i | −0.0582907 | − | 0.232127i | 0.933773 | − | 0.357867i | \(-0.116496\pi\) |
−0.992063 | + | 0.125740i | \(0.959869\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −3.53753 | + | 6.30971i | −0.150978 | + | 0.269292i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 5.45459 | − | 25.8220i | 0.232373 | − | 1.10005i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −16.4728 | − | 16.7876i | −0.700497 | − | 0.713881i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 1.18378 | − | 1.93587i | 0.0502488 | − | 0.0821730i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −0.300539 | + | 2.25533i | −0.0127342 | + | 0.0955613i | −0.996453 | − | 0.0841554i | \(-0.973181\pi\) |
0.983718 | + | 0.179717i | \(0.0575181\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 3.41487 | + | 2.17804i | 0.144434 | + | 0.0921212i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −21.2563 | − | 14.7179i | −0.897441 | − | 0.621390i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −27.1894 | − | 23.8066i | −1.14590 | − | 1.00333i | −0.999901 | − | 0.0140425i | \(-0.995530\pi\) |
−0.145996 | − | 0.989285i | \(-0.546639\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −2.22017 | + | 1.53725i | −0.0934031 | + | 0.0646724i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 1.66583 | + | 17.5517i | 0.0699583 | + | 0.737104i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 1.01975 | − | 2.42932i | 0.0427502 | − | 0.101843i | −0.899276 | − | 0.437381i | \(-0.855906\pi\) |
0.942027 | + | 0.335538i | \(0.108918\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 23.9245 | + | 5.52871i | 1.00121 | + | 0.231369i | 0.693769 | − | 0.720198i | \(-0.255949\pi\) |
0.307441 | + | 0.951567i | \(0.400527\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −28.6467 | + | 18.2711i | −1.19673 | + | 0.763287i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −6.68905 | − | 17.7936i | −0.278952 | − | 0.742046i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −20.0853 | − | 25.7526i | −0.836162 | − | 1.07210i | −0.996380 | − | 0.0850142i | \(-0.972906\pi\) |
0.160218 | − | 0.987082i | \(-0.448780\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −6.87944 | − | 23.5792i | −0.285900 | − | 0.979918i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −5.58447 | − | 9.96073i | −0.231683 | − | 0.413241i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −15.5732 | − | 8.34773i | −0.644975 | − | 0.345728i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −0.0659713 | + | 0.0915282i | −0.00272758 | + | 0.00378423i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −18.6090 | + | 10.9010i | −0.768076 | + | 0.449933i | −0.836667 | − | 0.547712i | \(-0.815499\pi\) |
0.0685912 | + | 0.997645i | \(0.478150\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −8.97781 | + | 23.8820i | −0.369924 | + | 0.984042i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −8.26905 | − | 16.1533i | −0.340143 | − | 0.664457i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −19.4407 | + | 23.0699i | −0.798336 | + | 0.947366i | −0.999482 | − | 0.0321948i | \(-0.989750\pi\) |
0.201146 | + | 0.979561i | \(0.435533\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2.50053 | − | 1.87523i | 0.102512 | − | 0.0768770i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −11.9048 | + | 1.35765i | −0.487233 | + | 0.0555651i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −8.07912 | + | 32.1729i | −0.330104 | + | 1.31455i | 0.548160 | + | 0.836373i | \(0.315328\pi\) |
−0.878264 | + | 0.478176i | \(0.841298\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −10.0868 | + | 4.46049i | −0.411451 | + | 0.181947i | −0.599791 | − | 0.800157i | \(-0.704750\pi\) |
0.188340 | + | 0.982104i | \(0.439689\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −6.97731 | + | 5.65741i | −0.284138 | + | 0.230387i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −0.251608 | + | 1.46289i | −0.0102293 | + | 0.0594750i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 14.8500 | − | 15.1337i | 0.602741 | − | 0.614257i | −0.342938 | − | 0.939358i | \(-0.611422\pi\) |
0.945679 | + | 0.325100i | \(0.105398\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 33.1964 | − | 2.51782i | 1.34519 | − | 0.102027i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 6.09383 | + | 2.97533i | 0.246530 | + | 0.120369i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 14.9785 | − | 8.02895i | 0.604974 | − | 0.324286i | −0.141257 | − | 0.989973i | \(-0.545114\pi\) |
0.746231 | + | 0.665687i | \(0.231861\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −0.670509 | − | 3.89845i | −0.0270375 | − | 0.157201i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 0.681021 | + | 11.9820i | 0.0274169 | + | 0.482378i | 0.982526 | + | 0.186125i | \(0.0595928\pi\) |
−0.955109 | + | 0.296254i | \(0.904263\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 7.85840 | + | 9.32538i | 0.315856 | + | 0.374819i | 0.899298 | − | 0.437336i | \(-0.144078\pi\) |
−0.583443 | + | 0.812154i | \(0.698295\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0.409746 | + | 21.6481i | 0.0164425 | + | 0.868710i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 50.4726 | + | 7.70058i | 2.02214 | + | 0.308517i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −2.25914 | + | 23.8030i | −0.0903656 | + | 0.952121i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 18.3108 | − | 8.94029i | 0.731261 | − | 0.357041i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −21.9258 | − | 7.77211i | −0.874238 | − | 0.309894i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −38.2555 | − | 10.3800i | −1.52293 | − | 0.413220i | −0.600575 | − | 0.799568i | \(-0.705062\pi\) |
−0.922353 | + | 0.386348i | \(0.873736\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 15.2599 | − | 13.3613i | 0.606525 | − | 0.531062i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 1.19651 | + | 0.700904i | 0.0474819 | + | 0.0278145i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.339392 | + | 0.0784301i | −0.0134472 | + | 0.00310751i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −6.86777 | + | 2.73118i | −0.271685 | + | 0.108044i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −19.3269 | − | 46.0419i | −0.763366 | − | 1.81855i | −0.534703 | − | 0.845040i | \(-0.679577\pi\) |
−0.228663 | − | 0.973506i | \(-0.573435\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 26.0430 | + | 28.6318i | 1.02704 | + | 1.12913i | 0.991546 | + | 0.129756i | \(0.0414194\pi\) |
0.0354892 | + | 0.999370i | \(0.488701\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 2.59209 | + | 1.03082i | 0.102064 | + | 0.0405887i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −15.6887 | − | 4.90132i | −0.616786 | − | 0.192691i | −0.0261881 | − | 0.999657i | \(-0.508337\pi\) |
−0.590598 | + | 0.806966i | \(0.701108\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 3.44843 | − | 5.18747i | 0.135363 | − | 0.203626i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −32.0920 | − | 2.43405i | −1.25779 | − | 0.0953980i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 9.38920 | − | 32.1814i | 0.367428 | − | 1.25936i | −0.540897 | − | 0.841089i | \(-0.681915\pi\) |
0.908324 | − | 0.418266i | \(-0.137362\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.278077 | − | 0.543213i | 0.0108654 | − | 0.0212251i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 6.23184 | − | 7.99023i | 0.243127 | − | 0.311729i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −21.3726 | + | 5.79910i | −0.832560 | + | 0.225901i | −0.652533 | − | 0.757761i | \(-0.726293\pi\) |
−0.180028 | + | 0.983662i | \(0.557619\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 10.4234 | − | 22.4145i | 0.405423 | − | 0.871824i | −0.592386 | − | 0.805655i | \(-0.701814\pi\) |
0.997808 | − | 0.0661695i | \(-0.0210778\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −3.46308 | − | 1.53140i | −0.134495 | − | 0.0594748i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0.325386 | + | 2.44179i | 0.0126179 | + | 0.0946885i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 30.7645 | 1.19121 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −24.1085 | −0.932090 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 5.52795 | + | 41.4833i | 0.213404 | + | 1.60144i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 4.30925 | + | 1.90559i | 0.166109 | + | 0.0734549i | 0.485814 | − | 0.874062i | \(-0.338523\pi\) |
−0.319704 | + | 0.947517i | \(0.603584\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 11.6589 | − | 25.0715i | 0.448753 | − | 0.965001i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −26.1094 | + | 7.08433i | −1.00347 | + | 0.272273i | −0.725428 | − | 0.688298i | \(-0.758358\pi\) |
−0.278037 | + | 0.960570i | \(0.589684\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 3.05767 | − | 3.92044i | 0.117343 | − | 0.150453i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −11.3936 | + | 22.2569i | −0.436602 | + | 0.852886i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −6.88514 | + | 23.5987i | −0.263452 | + | 0.902981i | 0.715452 | + | 0.698662i | \(0.246221\pi\) |
−0.978904 | + | 0.204319i | \(0.934502\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −2.38479 | − | 0.180877i | −0.0911182 | − | 0.00691095i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 21.0676 | − | 31.6919i | 0.803778 | − | 1.20912i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −2.47009 | − | 0.771684i | −0.0941029 | − | 0.0293988i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −25.6193 | − | 10.1883i | −0.974603 | − | 0.387581i | −0.172661 | − | 0.984981i | \(-0.555236\pi\) |
−0.801943 | + | 0.597401i | \(0.796200\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −5.28319 | − | 5.80836i | −0.200692 | − | 0.220641i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 0.982857 | + | 2.34143i | 0.0372819 | + | 0.0888156i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −37.6824 | + | 14.9856i | −1.42732 | + | 0.567619i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −6.27829 | + | 1.45085i | −0.237467 | + | 0.0548762i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −0.0197329 | − | 0.0115594i | −0.000745303 | − | 0.000436593i | 0.505081 | − | 0.863072i | \(-0.331463\pi\) |
−0.505826 | + | 0.862636i | \(0.668812\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 13.7938 | − | 12.0776i | 0.520243 | − | 0.455516i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 4.50750 | + | 1.22303i | 0.169762 | + | 0.0460621i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −46.7946 | − | 16.5875i | −1.75989 | − | 0.623835i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 40.7020 | − | 19.8729i | 1.52860 | − | 0.746342i | 0.533551 | − | 0.845768i | \(-0.320857\pi\) |
0.995045 | + | 0.0994255i | \(0.0317005\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0.566391 | − | 5.96768i | 0.0212413 | − | 0.223805i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −29.4008 | − | 4.48567i | −1.10107 | − | 0.167990i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.0123526 | + | 0.652626i | 0.000461960 | + | 0.0244068i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −0.707130 | − | 0.839134i | −0.0264082 | − | 0.0313380i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 0.866145 | + | 15.2391i | 0.0323017 | + | 0.568324i | 0.973246 | + | 0.229764i | \(0.0737953\pi\) |
−0.940945 | + | 0.338560i | \(0.890060\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 4.61557 | + | 26.8357i | 0.171893 | + | 0.999412i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −21.0233 | + | 11.2692i | −0.781866 | + | 0.419106i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −35.3032 | − | 17.2369i | −1.31113 | − | 0.640163i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 1.61720 | − | 0.122658i | 0.0599785 | − | 0.00454913i | −0.0456053 | − | 0.998960i | \(-0.514522\pi\) |
0.105584 | + | 0.994410i | \(0.466329\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −21.0222 | + | 21.4239i | −0.778600 | + | 0.793477i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 4.84746 | − | 28.1839i | 0.179290 | − | 1.04242i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 22.1891 | − | 17.9916i | 0.819575 | − | 0.664535i | −0.125245 | − | 0.992126i | \(-0.539972\pi\) |
0.944820 | + | 0.327591i | \(0.106237\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −0.219411 | + | 0.0970253i | −0.00809309 | + | 0.00357883i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −12.6572 | + | 50.4038i | −0.466233 | + | 1.85665i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 28.2122 | − | 3.21738i | 1.03780 | − | 0.118353i | 0.422274 | − | 0.906468i | \(-0.361232\pi\) |
0.615528 | + | 0.788115i | \(0.288943\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 2.38755 | − | 1.79050i | 0.0877087 | − | 0.0657757i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 5.21684 | − | 6.19071i | 0.191387 | − | 0.227115i | −0.660519 | − | 0.750810i | \(-0.729664\pi\) |
0.851906 | + | 0.523695i | \(0.175447\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.533824 | + | 1.04280i | 0.0195578 | + | 0.0382054i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 1.02414 | − | 2.72433i | 0.0374713 | − | 0.0996781i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −22.0840 | + | 12.9367i | −0.806933 | + | 0.472695i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 23.9981 | − | 33.2948i | 0.875702 | − | 1.21494i | −0.0998123 | − | 0.995006i | \(-0.531824\pi\) |
0.975514 | − | 0.219938i | \(-0.0705854\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 30.2774 | + | 16.2297i | 1.10337 | + | 0.591443i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −0.886281 | − | 1.58081i | −0.0322551 | − | 0.0575317i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 4.05559 | + | 13.9005i | 0.147403 | + | 0.505222i | 0.999845 | − | 0.0175994i | \(-0.00560235\pi\) |
−0.852442 | + | 0.522821i | \(0.824879\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 14.6080 | + | 18.7298i | 0.530237 | + | 0.679850i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −5.91798 | − | 15.7425i | −0.214527 | − | 0.570666i | 0.784233 | − | 0.620467i | \(-0.213057\pi\) |
−0.998759 | + | 0.0498011i | \(0.984141\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −41.0263 | + | 26.1670i | −1.48525 | + | 0.947308i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0.776160 | + | 0.179363i | 0.0280621 | + | 0.00648487i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 0.353106 | − | 0.841193i | 0.0127499 | − | 0.0303737i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 2.08849 | + | 22.0051i | 0.0753130 | + | 0.793523i | 0.950702 | + | 0.310104i | \(0.100364\pi\) |
−0.875389 | + | 0.483418i | \(0.839395\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 16.4078 | − | 11.3608i | 0.590911 | − | 0.409148i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −6.16645 | − | 5.39924i | −0.221792 | − | 0.194197i | 0.540661 | − | 0.841240i | \(-0.318174\pi\) |
−0.762453 | + | 0.647043i | \(0.776005\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 31.2250 | + | 21.6203i | 1.12164 | + | 0.776623i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 19.4989 | + | 12.4366i | 0.699520 | + | 0.446160i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 4.22174 | − | 31.6811i | 0.151260 | − | 1.13509i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −22.3072 | + | 36.4795i | −0.798216 | + | 1.30534i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 31.3408 | + | 31.9396i | 1.12003 | + | 1.14143i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0.911222 | − | 4.31372i | 0.0325229 | − | 0.153963i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 25.5986 | − | 45.6590i | 0.912493 | − | 1.62757i | 0.142236 | − | 0.989833i | \(-0.454571\pi\) |
0.770257 | − | 0.637734i | \(-0.220128\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 1.26750 | + | 5.04748i | 0.0451242 | + | 0.179695i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −15.2369 | − | 22.9209i | −0.541763 | − | 0.814972i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 1.93812 | + | 5.81476i | 0.0688246 | + | 0.206488i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −1.77081 | − | 0.201946i | −0.0628040 | − | 0.00716230i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 37.9499 | − | 1.43711i | 1.34425 | − | 0.0509050i | 0.644124 | − | 0.764921i | \(-0.277222\pi\) |
0.700129 | + | 0.714016i | \(0.253126\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 2.71700 | − | 47.8035i | 0.0961206 | − | 1.69117i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 6.78870 | + | 11.1017i | 0.239867 | + | 0.392260i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 1.10941 | − | 58.6136i | 0.0391502 | − | 2.06843i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −2.70651 | + | 0.959386i | −0.0953919 | + | 0.0338139i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 6.43554 | + | 6.08016i | 0.226542 | + | 0.214032i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 8.04052 | − | 1.22674i | 0.282690 | − | 0.0431298i | −0.00792982 | − | 0.999969i | \(-0.502524\pi\) |
0.290619 | + | 0.956839i | \(0.406139\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 14.9246 | + | 32.0939i | 0.524072 | + | 1.12697i | 0.972447 | + | 0.233123i | \(0.0748944\pi\) |
−0.448375 | + | 0.893845i | \(0.647997\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −32.3456 | − | 1.22488i | −1.13441 | − | 0.0429585i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −0.635866 | + | 0.699074i | −0.0222734 | + | 0.0244875i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 17.5071 | + | 14.1953i | 0.612496 | + | 0.496629i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −0.919984 | − | 0.689927i | −0.0321468 | − | 0.0241080i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 18.2531 | − | 3.49629i | 0.637038 | − | 0.122021i | 0.140562 | − | 0.990072i | \(-0.455109\pi\) |
0.496476 | + | 0.868050i | \(0.334627\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −42.5130 | − | 8.14315i | −1.48191 | − | 0.283852i | −0.617473 | − | 0.786592i | \(-0.711843\pi\) |
−0.864438 | + | 0.502740i | \(0.832325\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −6.26906 | − | 29.6777i | −0.218261 | − | 1.03324i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −10.5846 | + | 3.30674i | −0.368061 | + | 0.114987i | −0.476634 | − | 0.879102i | \(-0.658143\pi\) |
0.108572 | + | 0.994089i | \(0.465372\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −12.8512 | + | 12.1415i | −0.446339 | + | 0.421691i | −0.876753 | − | 0.480941i | \(-0.840295\pi\) |
0.430414 | + | 0.902632i | \(0.358368\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −13.3918 | + | 40.1783i | −0.464557 | + | 1.39377i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 1.43809 | + | 1.99520i | 0.0498270 | + | 0.0691297i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 3.12390 | − | 1.56076i | 0.108107 | − | 0.0540124i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −25.2945 | − | 35.0935i | −0.874306 | − | 1.21301i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −17.1851 | + | 51.5590i | −0.593296 | + | 1.78001i | 0.0318330 | + | 0.999493i | \(0.489866\pi\) |
−0.625129 | + | 0.780521i | \(0.714954\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 25.1364 | − | 23.7483i | 0.866773 | − | 0.818907i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −18.9387 | + | 5.91666i | −0.652282 | + | 0.203780i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −0.706287 | − | 3.34356i | −0.0242970 | − | 0.115022i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −14.8589 | − | 2.84615i | −0.510559 | − | 0.0977949i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −28.0432 | + | 5.37153i | −0.962441 | + | 0.184351i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 17.0979 | + | 12.8223i | 0.586110 | + | 0.439544i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −0.490036 | − | 0.397336i | −0.0167785 | − | 0.0136045i | 0.621385 | − | 0.783506i | \(-0.286570\pi\) |
−0.638163 | + | 0.769901i | \(0.720305\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −0.422458 | + | 0.464452i | −0.0144478 | + | 0.0158839i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 40.6614 | + | 1.53979i | 1.38897 | + | 0.0525982i | 0.721693 | − | 0.692214i | \(-0.243364\pi\) |
0.667274 | + | 0.744812i | \(0.267461\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 5.51033 | + | 11.8494i | 0.188010 | + | 0.404298i | 0.977936 | − | 0.208904i | \(-0.0669896\pi\) |
−0.789926 | + | 0.613202i | \(0.789881\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 39.8561 | − | 6.08082i | 1.35829 | − | 0.207234i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 22.4793 | + | 21.2379i | 0.765203 | + | 0.722946i | 0.966523 | − | 0.256579i | \(-0.0825955\pi\) |
−0.201320 | + | 0.979525i | \(0.564523\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 1.02352 | − | 0.362812i | 0.0348008 | − | 0.0123360i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −0.0182554 | + | 0.964489i | −0.000619985 | + | 0.0327558i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −18.0926 | − | 29.5872i | −0.613749 | − | 1.00368i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.431901 | + | 7.59896i | −0.0146344 | + | 0.257481i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 1.26627 | − | 0.0479519i | 0.0428568 | − | 0.00162293i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 7.34066 | + | 0.837144i | 0.248160 | + | 0.0283006i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 13.2983 | + | 39.8976i | 0.449051 | + | 1.34725i | 0.892540 | + | 0.450968i | \(0.148921\pi\) |
−0.443489 | + | 0.896280i | \(0.646260\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −3.08507 | − | 4.64087i | −0.104057 | − | 0.156533i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −9.95293 | − | 39.6348i | −0.335323 | − | 1.33533i | −0.871155 | − | 0.491008i | \(-0.836629\pi\) |
0.535833 | − | 0.844324i | \(-0.319998\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 2.04986 | − | 3.65623i | 0.0689833 | − | 0.123042i | −0.835601 | − | 0.549337i | \(-0.814880\pi\) |
0.904584 | + | 0.426295i | \(0.140182\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0.129859 | − | 0.614752i | 0.00436516 | − | 0.0206646i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 18.8024 | + | 19.1616i | 0.631323 | + | 0.643385i | 0.952824 | − | 0.303524i | \(-0.0981633\pi\) |
−0.321501 | + | 0.946909i | \(0.604187\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −7.37327 | + | 12.0577i | −0.247292 | + | 0.404402i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −3.43392 | + | 25.7691i | −0.115041 | + | 0.863298i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 31.8160 | + | 20.2926i | 1.06468 | + | 0.679065i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −3.63797 | − | 2.51894i | −0.121604 | − | 0.0841988i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 2.61731 | + | 2.29167i | 0.0873894 | + | 0.0765166i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −50.5342 | + | 34.9899i | −1.68541 | + | 1.16698i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 1.72639 | + | 18.1898i | 0.0575144 | + | 0.605991i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −11.0045 | + | 26.2156i | −0.366206 | + | 0.872401i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 3.17534 | + | 0.733788i | 0.105552 | + | 0.0243919i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 38.9177 | − | 24.8221i | 1.29224 | − | 0.824203i | 0.300664 | − | 0.953730i | \(-0.402792\pi\) |
0.991576 | + | 0.129527i | \(0.0413460\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −4.45260 | − | 11.8444i | −0.147684 | − | 0.392855i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 9.47073 | + | 12.1430i | 0.313779 | + | 0.402316i | 0.919328 | − | 0.393492i | \(-0.128733\pi\) |
−0.605549 | + | 0.795808i | \(0.707046\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −4.71608 | − | 16.1643i | −0.156080 | − | 0.534961i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 2.06438 | + | 3.68212i | 0.0682462 | + | 0.121727i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 5.48192 | + | 2.93849i | 0.181029 | + | 0.0970375i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 25.4437 | − | 35.3005i | 0.839312 | − | 1.16446i | −0.145246 | − | 0.989396i | \(-0.546397\pi\) |
0.984558 | − | 0.175061i | \(-0.0560124\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −5.66670 | + | 3.31951i | −0.186724 | + | 0.109382i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −2.20364 | + | 5.86194i | −0.0725337 | + | 0.192948i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −12.4362 | − | 24.2937i | −0.408901 | − | 0.798773i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −4.47215 | + | 5.30700i | −0.146885 | + | 0.174305i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 16.4317 | − | 12.3227i | 0.539108 | − | 0.404295i | −0.295331 | − | 0.955395i | \(-0.595430\pi\) |
0.834440 | + | 0.551099i | \(0.185792\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −1.92591 | + | 0.219635i | −0.0631192 | + | 0.00719824i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 6.04772 | − | 24.0834i | 0.197993 | − | 0.788455i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 4.21501 | − | 1.86392i | 0.137846 | − | 0.0609566i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 22.2988 | − | 18.0805i | 0.728469 | − | 0.590664i | −0.192039 | − | 0.981387i | \(-0.561510\pi\) |
0.920508 | + | 0.390723i | \(0.127775\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −2.53985 | + | 14.7671i | −0.0828849 | + | 0.481906i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 7.57090 | − | 7.71556i | 0.246804 | − | 0.251520i | −0.579198 | − | 0.815187i | \(-0.696634\pi\) |
0.826002 | + | 0.563667i | \(0.190610\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 37.1500 | − | 2.81768i | 1.20977 | − | 0.0917562i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −3.75323 | − | 1.83253i | −0.122093 | − | 0.0596122i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −10.3240 | + | 5.53400i | −0.335485 | + | 0.179831i | −0.631547 | − | 0.775338i | \(-0.717580\pi\) |
0.296062 | + | 0.955169i | \(0.404327\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −1.45536 | − | 8.46172i | −0.0472431 | − | 0.274679i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −0.211071 | − | 3.71362i | −0.00684444 | − | 0.120423i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −19.5090 | − | 23.1509i | −0.631959 | − | 0.749931i | 0.350469 | − | 0.936574i | \(-0.386022\pi\) |
−0.982428 | + | 0.186643i | \(0.940239\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −0.114619 | − | 6.05567i | −0.00370898 | − | 0.195957i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 48.5283 | + | 7.40394i | 1.56870 | + | 0.239335i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 2.30318 | − | 24.2671i | 0.0743736 | − | 0.783625i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 25.5390 | − | 12.4695i | 0.823838 | − | 0.402241i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −6.14836 | − | 2.17943i | −0.198128 | − | 0.0702312i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 4.22564 | + | 1.14655i | 0.136028 | + | 0.0369089i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 4.54221 | − | 3.97708i | 0.146068 | − | 0.127894i | −0.582608 | − | 0.812753i | \(-0.697968\pi\) |
0.728675 | + | 0.684859i | \(0.240136\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −18.1814 | − | 10.6505i | −0.584069 | − | 0.342143i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −10.0827 | + | 2.33001i | −0.323570 | + | 0.0747736i | −0.383815 | − | 0.923410i | \(-0.625390\pi\) |
0.0602454 | + | 0.998184i | \(0.480812\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −24.0497 | + | 9.56409i | −0.770997 | + | 0.306611i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −1.71945 | − | 4.09620i | −0.0550665 | − | 0.131183i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 11.0656 | + | 12.1655i | 0.354019 | + | 0.389210i | 0.890712 | − | 0.454568i | \(-0.150206\pi\) |
−0.536693 | + | 0.843777i | \(0.680327\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 69.9559 | + | 27.8201i | 2.23580 | + | 0.889134i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −11.8380 | − | 3.69831i | −0.377957 | − | 0.118078i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −13.4476 | + | 20.2292i | −0.428911 | + | 0.645210i | −0.982213 | − | 0.187771i | \(-0.939874\pi\) |
0.553302 | + | 0.832981i | \(0.313368\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 3.22555 | + | 0.244645i | 0.102774 | + | 0.00779503i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −13.3326 | + | 45.6973i | −0.424381 | + | 1.45456i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −11.9721 | + | 23.3871i | −0.380691 | + | 0.743666i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 11.7405 | − | 15.0532i | 0.372949 | − | 0.478182i | −0.564932 | − | 0.825137i | \(-0.691098\pi\) |
0.937882 | + | 0.346955i | \(0.112784\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 29.9329 | − | 8.12178i | 0.949893 | − | 0.257737i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0.900631 | − | 1.93672i | 0.0285519 | − | 0.0613982i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 12.2005 | + | 5.39515i | 0.386393 | + | 0.170866i | 0.588500 | − | 0.808497i | \(-0.299719\pi\) |
−0.202107 | + | 0.979363i | \(0.564779\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 4.10612 | + | 30.8135i | 0.129912 | + | 0.974896i |
(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 | 668.2.e.a.9.11 | ✓ | 1148 | |
167.130 | even | 83 | inner | 668.2.e.a.297.11 | yes | 1148 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
668.2.e.a.9.11 | ✓ | 1148 | 1.1 | even | 1 | trivial | |
668.2.e.a.297.11 | yes | 1148 | 167.130 | even | 83 | inner |