Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [927,2,Mod(46,927)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(927, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("927.46");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 927 = 3^{2} \cdot 103 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 927.f (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.40213226737\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 46.5 | ||
Character | \(\chi\) | \(=\) | 927.46 |
Dual form | 927.2.f.f.262.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/927\mathbb{Z}\right)^\times\).
\(n\) | \(722\) | \(829\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.711803 | − | 1.23288i | −0.503321 | − | 0.871777i | −0.999993 | − | 0.00383882i | \(-0.998778\pi\) |
0.496672 | − | 0.867938i | \(-0.334555\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.0133274 | + | 0.0230838i | −0.00666372 | + | 0.0115419i | ||||
\(5\) | 0.396502 | − | 0.686762i | 0.177321 | − | 0.307129i | −0.763641 | − | 0.645641i | \(-0.776590\pi\) |
0.940962 | + | 0.338512i | \(0.109924\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.249615 | + | 0.432345i | −0.0943455 | + | 0.163411i | −0.909335 | − | 0.416064i | \(-0.863409\pi\) |
0.814990 | + | 0.579475i | \(0.196743\pi\) | |||||||
\(8\) | −2.80927 | −0.993226 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.12893 | −0.356998 | ||||||||
\(11\) | −2.68065 | + | 4.64303i | −0.808248 | + | 1.39993i | 0.105829 | + | 0.994384i | \(0.466251\pi\) |
−0.914076 | + | 0.405542i | \(0.867083\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.03115 | −0.285991 | −0.142995 | − | 0.989723i | \(-0.545673\pi\) | ||||
−0.142995 | + | 0.989723i | \(0.545673\pi\) | |||||||
\(14\) | 0.710706 | 0.189944 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.02630 | + | 3.50965i | 0.506575 | + | 0.877413i | ||||
\(17\) | −0.783256 | + | 1.35664i | −0.189967 | + | 0.329033i | −0.945239 | − | 0.326379i | \(-0.894172\pi\) |
0.755272 | + | 0.655412i | \(0.227505\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.21991 | + | 3.84499i | 0.509282 | + | 0.882102i | 0.999942 | + | 0.0107511i | \(0.00342225\pi\) |
−0.490660 | + | 0.871351i | \(0.663244\pi\) | |||||||
\(20\) | 0.0105687 | + | 0.0183055i | 0.00236324 | + | 0.00409325i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 7.63239 | 1.62723 | ||||||||
\(23\) | −5.69293 | −1.18706 | −0.593529 | − | 0.804812i | \(-0.702266\pi\) | ||||
−0.593529 | + | 0.804812i | \(0.702266\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.18557 | + | 3.78552i | 0.437114 | + | 0.757104i | ||||
\(26\) | 0.733979 | + | 1.27129i | 0.143945 | + | 0.249320i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.00665345 | − | 0.0115241i | −0.00125738 | − | 0.00217785i | ||||
\(29\) | 1.25596 | + | 2.17539i | 0.233227 | + | 0.403961i | 0.958756 | − | 0.284231i | \(-0.0917382\pi\) |
−0.725529 | + | 0.688191i | \(0.758405\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.48344 | 0.266433 | 0.133217 | − | 0.991087i | \(-0.457469\pi\) | ||||
0.133217 | + | 0.991087i | \(0.457469\pi\) | |||||||
\(32\) | 0.0753864 | − | 0.130573i | 0.0133266 | − | 0.0230823i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.23010 | 0.382458 | ||||||||
\(35\) | 0.197946 | + | 0.342852i | 0.0334589 | + | 0.0579525i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −6.62674 | −1.08943 | −0.544715 | − | 0.838621i | \(-0.683362\pi\) | ||||
−0.544715 | + | 0.838621i | \(0.683362\pi\) | |||||||
\(38\) | 3.16028 | − | 5.47376i | 0.512664 | − | 0.887961i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.11388 | + | 1.92930i | −0.176120 | + | 0.305049i | ||||
\(41\) | −1.70676 | − | 2.95620i | −0.266551 | − | 0.461680i | 0.701418 | − | 0.712751i | \(-0.252551\pi\) |
−0.967969 | + | 0.251070i | \(0.919218\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.43519 | − | 5.94992i | −0.523861 | − | 0.907354i | −0.999614 | − | 0.0277752i | \(-0.991158\pi\) |
0.475753 | − | 0.879579i | \(-0.342176\pi\) | |||||||
\(44\) | −0.0714525 | − | 0.123759i | −0.0107719 | − | 0.0186574i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 4.05225 | + | 7.01870i | 0.597471 | + | 1.03485i | ||||
\(47\) | −1.61350 | + | 2.79466i | −0.235353 | + | 0.407643i | −0.959375 | − | 0.282133i | \(-0.908958\pi\) |
0.724022 | + | 0.689777i | \(0.242291\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.37538 | + | 5.84634i | 0.482198 | + | 0.835191i | ||||
\(50\) | 3.11139 | − | 5.38909i | 0.440018 | − | 0.762133i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.0137426 | − | 0.0238030i | 0.00190576 | − | 0.00330088i | ||||
\(53\) | 1.01395 | − | 1.75621i | 0.139276 | − | 0.241233i | −0.787947 | − | 0.615743i | \(-0.788856\pi\) |
0.927223 | + | 0.374510i | \(0.122189\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.12577 | + | 3.68194i | 0.286639 | + | 0.496473i | ||||
\(56\) | 0.701234 | − | 1.21457i | 0.0937064 | − | 0.162304i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 1.78800 | − | 3.09690i | 0.234776 | − | 0.406644i | ||||
\(59\) | −3.36106 | − | 5.82152i | −0.437572 | − | 0.757898i | 0.559929 | − | 0.828540i | \(-0.310828\pi\) |
−0.997502 | + | 0.0706427i | \(0.977495\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.780378 | −0.0999172 | −0.0499586 | − | 0.998751i | \(-0.515909\pi\) | ||||
−0.0499586 | + | 0.998751i | \(0.515909\pi\) | |||||||
\(62\) | −1.05591 | − | 1.82890i | −0.134101 | − | 0.232270i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 7.89056 | 0.986320 | ||||||||
\(65\) | −0.408855 | + | 0.708157i | −0.0507122 | + | 0.0878361i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.62137 | + | 6.27239i | −0.442420 | + | 0.766294i | −0.997869 | − | 0.0652567i | \(-0.979213\pi\) |
0.555448 | + | 0.831551i | \(0.312547\pi\) | |||||||
\(68\) | −0.0208776 | − | 0.0361610i | −0.00253178 | − | 0.00438517i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.281796 | − | 0.488086i | 0.0336811 | − | 0.0583374i | ||||
\(71\) | −3.32892 | + | 5.76587i | −0.395071 | + | 0.684282i | −0.993110 | − | 0.117184i | \(-0.962613\pi\) |
0.598040 | + | 0.801467i | \(0.295947\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 12.2880 | 1.43821 | 0.719103 | − | 0.694904i | \(-0.244553\pi\) | ||||
0.719103 | + | 0.694904i | \(0.244553\pi\) | |||||||
\(74\) | 4.71694 | + | 8.16997i | 0.548333 | + | 0.949740i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.118343 | −0.0135748 | ||||||||
\(77\) | −1.33826 | − | 2.31794i | −0.152509 | − | 0.264154i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −11.5258 | −1.29676 | −0.648378 | − | 0.761318i | \(-0.724553\pi\) | ||||
−0.648378 | + | 0.761318i | \(0.724553\pi\) | |||||||
\(80\) | 3.21373 | 0.359306 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −2.42976 | + | 4.20846i | −0.268322 | + | 0.464747i | ||||
\(83\) | 1.88139 | + | 3.25866i | 0.206509 | + | 0.357685i | 0.950613 | − | 0.310380i | \(-0.100456\pi\) |
−0.744103 | + | 0.668065i | \(0.767123\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.621125 | + | 1.07582i | 0.0673705 | + | 0.116689i | ||||
\(86\) | −4.89035 | + | 8.47034i | −0.527340 | + | 0.913380i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 7.53067 | − | 13.0435i | 0.802773 | − | 1.39044i | ||||
\(89\) | 18.4645 | 1.95723 | 0.978616 | − | 0.205695i | \(-0.0659456\pi\) | ||||
0.978616 | + | 0.205695i | \(0.0659456\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.257391 | − | 0.445815i | 0.0269819 | − | 0.0467341i | ||||
\(92\) | 0.0758722 | − | 0.131415i | 0.00791023 | − | 0.0137009i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 4.59397 | 0.473832 | ||||||||
\(95\) | 3.52079 | 0.361226 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.821501 | + | 1.42288i | 0.0834108 | + | 0.144472i | 0.904713 | − | 0.426022i | \(-0.140085\pi\) |
−0.821302 | + | 0.570494i | \(0.806752\pi\) | |||||||
\(98\) | 4.80522 | − | 8.32288i | 0.485400 | − | 0.840738i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.116512 | −0.0116512 | ||||||||
\(101\) | 5.63790 | + | 9.76513i | 0.560992 | + | 0.971667i | 0.997410 | + | 0.0719231i | \(0.0229136\pi\) |
−0.436418 | + | 0.899744i | \(0.643753\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.20218 | + | 9.23806i | −0.414053 | + | 0.910253i | ||||
\(104\) | 2.89679 | 0.284053 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −2.88692 | −0.280402 | ||||||||
\(107\) | 1.16270 | − | 2.01386i | 0.112403 | − | 0.194687i | −0.804336 | − | 0.594175i | \(-0.797479\pi\) |
0.916738 | + | 0.399488i | \(0.130812\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −7.20327 | − | 12.4764i | −0.689949 | − | 1.19503i | −0.971854 | − | 0.235584i | \(-0.924300\pi\) |
0.281905 | − | 0.959442i | \(-0.409034\pi\) | |||||||
\(110\) | 3.02626 | − | 5.24164i | 0.288543 | − | 0.499770i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.02318 | −0.191172 | ||||||||
\(113\) | −7.09242 | −0.667198 | −0.333599 | − | 0.942715i | \(-0.608263\pi\) | ||||
−0.333599 | + | 0.942715i | \(0.608263\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −2.25726 | + | 3.90969i | −0.210491 | + | 0.364580i | ||||
\(116\) | −0.0669552 | −0.00621663 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −4.78482 | + | 8.28756i | −0.440479 | + | 0.762931i | ||||
\(119\) | −0.391024 | − | 0.677274i | −0.0358451 | − | 0.0620856i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.87182 | − | 15.3664i | −0.806529 | − | 1.39695i | ||||
\(122\) | 0.555476 | + | 0.962112i | 0.0502904 | + | 0.0871055i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.0197704 | + | 0.0342434i | −0.00177544 | + | 0.00307514i | ||||
\(125\) | 7.43136 | 0.664681 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 5.91034 | 0.524458 | 0.262229 | − | 0.965006i | \(-0.415543\pi\) | ||||
0.262229 | + | 0.965006i | \(0.415543\pi\) | |||||||
\(128\) | −5.76730 | − | 9.98925i | −0.509762 | − | 0.882933i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1.16410 | 0.102098 | ||||||||
\(131\) | 2.09351 | + | 3.62607i | 0.182911 | + | 0.316812i | 0.942871 | − | 0.333159i | \(-0.108115\pi\) |
−0.759959 | + | 0.649971i | \(0.774781\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.21649 | −0.192194 | ||||||||
\(134\) | 10.3108 | 0.890717 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.20037 | − | 3.81116i | 0.188681 | − | 0.326804i | ||||
\(137\) | 1.11300 | 0.0950903 | 0.0475451 | − | 0.998869i | \(-0.484860\pi\) | ||||
0.0475451 | + | 0.998869i | \(0.484860\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −5.16059 | + | 8.93840i | −0.437716 | + | 0.758146i | −0.997513 | − | 0.0704840i | \(-0.977546\pi\) |
0.559797 | + | 0.828630i | \(0.310879\pi\) | |||||||
\(140\) | −0.0105524 | −0.000891843 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 9.47815 | 0.795389 | ||||||||
\(143\) | 2.76417 | − | 4.78768i | 0.231151 | − | 0.400366i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.99197 | 0.165424 | ||||||||
\(146\) | −8.74666 | − | 15.1497i | −0.723879 | − | 1.25380i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.0883175 | − | 0.152970i | 0.00725966 | − | 0.0125741i | ||||
\(149\) | 4.62315 | + | 8.00753i | 0.378743 | + | 0.656003i | 0.990880 | − | 0.134750i | \(-0.0430230\pi\) |
−0.612136 | + | 0.790752i | \(0.709690\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −8.67058 | − | 15.0179i | −0.705602 | − | 1.22214i | −0.966474 | − | 0.256765i | \(-0.917343\pi\) |
0.260872 | − | 0.965373i | \(-0.415990\pi\) | |||||||
\(152\) | −6.23631 | − | 10.8016i | −0.505832 | − | 0.876126i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −1.90516 | + | 3.29983i | −0.153522 | + | 0.265908i | ||||
\(155\) | 0.588186 | − | 1.01877i | 0.0472442 | − | 0.0818294i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −8.14992 | − | 14.1161i | −0.650435 | − | 1.12659i | −0.983018 | − | 0.183512i | \(-0.941254\pi\) |
0.332583 | − | 0.943074i | \(-0.392080\pi\) | |||||||
\(158\) | 8.20412 | + | 14.2100i | 0.652685 | + | 1.13048i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.0597817 | − | 0.103545i | −0.00472616 | − | 0.00818595i | ||||
\(161\) | 1.42104 | − | 2.46131i | 0.111994 | − | 0.193979i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.69347 | − | 2.93317i | −0.132643 | − | 0.229744i | 0.792052 | − | 0.610454i | \(-0.209013\pi\) |
−0.924694 | + | 0.380710i | \(0.875680\pi\) | |||||||
\(164\) | 0.0909870 | 0.00710489 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.67836 | − | 4.63905i | 0.207881 | − | 0.360060i | ||||
\(167\) | −16.4594 | −1.27366 | −0.636832 | − | 0.771002i | \(-0.719756\pi\) | ||||
−0.636832 | + | 0.771002i | \(0.719756\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −11.9367 | −0.918209 | ||||||||
\(170\) | 0.884237 | − | 1.53154i | 0.0678179 | − | 0.117464i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.183129 | 0.0139635 | ||||||||
\(173\) | −4.20121 | + | 7.27671i | −0.319412 | + | 0.553238i | −0.980366 | − | 0.197189i | \(-0.936819\pi\) |
0.660953 | + | 0.750427i | \(0.270152\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.18220 | −0.164959 | ||||||||
\(176\) | −21.7272 | −1.63775 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −13.1431 | − | 22.7645i | −0.985116 | − | 1.70627i | ||||
\(179\) | 14.1656 | 1.05879 | 0.529394 | − | 0.848376i | \(-0.322419\pi\) | ||||
0.529394 | + | 0.848376i | \(0.322419\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 7.32494 | + | 12.6872i | 0.544459 | + | 0.943030i | 0.998641 | + | 0.0521214i | \(0.0165983\pi\) |
−0.454182 | + | 0.890909i | \(0.650068\pi\) | |||||||
\(182\) | −0.732848 | −0.0543223 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 15.9930 | 1.17902 | ||||||||
\(185\) | −2.62752 | + | 4.55099i | −0.193179 | + | 0.334596i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −4.19928 | − | 7.27336i | −0.307082 | − | 0.531881i | ||||
\(188\) | −0.0430076 | − | 0.0744914i | −0.00313665 | − | 0.00543284i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −2.50611 | − | 4.34071i | −0.181812 | − | 0.314908i | ||||
\(191\) | −6.39444 | + | 11.0755i | −0.462686 | + | 0.801395i | −0.999094 | − | 0.0425637i | \(-0.986447\pi\) |
0.536408 | + | 0.843959i | \(0.319781\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −5.66939 | −0.408091 | −0.204046 | − | 0.978961i | \(-0.565409\pi\) | ||||
−0.204046 | + | 0.978961i | \(0.565409\pi\) | |||||||
\(194\) | 1.16949 | − | 2.02562i | 0.0839648 | − | 0.145431i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.179941 | −0.0128529 | ||||||||
\(197\) | −10.4230 | −0.742609 | −0.371305 | − | 0.928511i | \(-0.621089\pi\) | ||||
−0.371305 | + | 0.928511i | \(0.621089\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −7.80540 | + | 13.5193i | −0.553310 | + | 0.958361i | 0.444723 | + | 0.895668i | \(0.353302\pi\) |
−0.998033 | + | 0.0626928i | \(0.980031\pi\) | |||||||
\(200\) | −6.13986 | − | 10.6345i | −0.434153 | − | 0.751976i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 8.02615 | − | 13.9017i | 0.564718 | − | 0.978121i | ||||
\(203\) | −1.25403 | −0.0880156 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.70694 | −0.189061 | ||||||||
\(206\) | 14.3805 | − | 1.39489i | 1.00194 | − | 0.0971868i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −2.08943 | − | 3.61900i | −0.144876 | − | 0.250932i | ||||
\(209\) | −23.8032 | −1.64650 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.81455 | − | 4.87494i | 0.193762 | − | 0.335605i | −0.752732 | − | 0.658327i | \(-0.771265\pi\) |
0.946494 | + | 0.322722i | \(0.104598\pi\) | |||||||
\(212\) | 0.0270266 | + | 0.0468115i | 0.00185619 | + | 0.00321502i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −3.31046 | −0.226298 | ||||||||
\(215\) | −5.44823 | −0.371566 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.370288 | + | 0.641357i | −0.0251368 | + | 0.0435382i | ||||
\(218\) | −10.2546 | + | 17.7615i | −0.694531 | + | 1.20296i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.113324 | −0.00764032 | ||||||||
\(221\) | 0.807658 | − | 1.39890i | 0.0543289 | − | 0.0941005i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −8.01610 | + | 13.8843i | −0.536798 | + | 0.929761i | 0.462276 | + | 0.886736i | \(0.347033\pi\) |
−0.999074 | + | 0.0430249i | \(0.986301\pi\) | |||||||
\(224\) | 0.0376351 | + | 0.0651859i | 0.00251460 | + | 0.00435542i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 5.04840 | + | 8.74409i | 0.335815 | + | 0.581648i | ||||
\(227\) | 14.3381 | − | 24.8344i | 0.951656 | − | 1.64832i | 0.209813 | − | 0.977741i | \(-0.432714\pi\) |
0.741842 | − | 0.670574i | \(-0.233952\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −22.2413 | −1.46975 | −0.734874 | − | 0.678203i | \(-0.762759\pi\) | ||||
−0.734874 | + | 0.678203i | \(0.762759\pi\) | |||||||
\(230\) | 6.42690 | 0.423777 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −3.52834 | − | 6.11126i | −0.231647 | − | 0.401224i | ||||
\(233\) | 8.13939 | 0.533229 | 0.266615 | − | 0.963803i | \(-0.414095\pi\) | ||||
0.266615 | + | 0.963803i | \(0.414095\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.27951 | + | 2.21618i | 0.0834661 | + | 0.144568i | ||||
\(236\) | 0.179177 | 0.0116634 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.556665 | + | 0.964172i | −0.0360832 | + | 0.0624980i | ||||
\(239\) | −9.37445 | + | 16.2370i | −0.606382 | + | 1.05029i | 0.385449 | + | 0.922729i | \(0.374047\pi\) |
−0.991831 | + | 0.127556i | \(0.959287\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −10.9584 | − | 18.9806i | −0.705896 | − | 1.22265i | −0.966367 | − | 0.257166i | \(-0.917211\pi\) |
0.260472 | − | 0.965481i | \(-0.416122\pi\) | |||||||
\(242\) | −12.6300 | + | 21.8758i | −0.811886 | + | 1.40623i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0.0104004 | − | 0.0180141i | 0.000665820 | − | 0.00115323i | ||||
\(245\) | 5.35339 | 0.342015 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −2.28907 | − | 3.96478i | −0.145650 | − | 0.252273i | ||||
\(248\) | −4.16737 | −0.264628 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −5.28966 | − | 9.16196i | −0.334548 | − | 0.579453i | ||||
\(251\) | 7.63374 | − | 13.2220i | 0.481837 | − | 0.834566i | −0.517946 | − | 0.855414i | \(-0.673303\pi\) |
0.999783 | + | 0.0208472i | \(0.00663636\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 15.2608 | − | 26.4325i | 0.959438 | − | 1.66179i | ||||
\(254\) | −4.20700 | − | 7.28673i | −0.263970 | − | 0.457210i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.319802 | + | 0.553913i | −0.0199876 | + | 0.0346196i | ||||
\(257\) | 4.19495 | − | 7.26587i | 0.261674 | − | 0.453232i | −0.705013 | − | 0.709194i | \(-0.749059\pi\) |
0.966687 | + | 0.255962i | \(0.0823922\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.65413 | − | 2.86504i | 0.102783 | − | 0.178025i | ||||
\(260\) | −0.0108980 | − | 0.0188758i | −0.000675864 | − | 0.00117063i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 2.98034 | − | 5.16210i | 0.184126 | − | 0.318916i | ||||
\(263\) | 9.02208 | + | 15.6267i | 0.556325 | + | 0.963584i | 0.997799 | + | 0.0663097i | \(0.0211225\pi\) |
−0.441474 | + | 0.897274i | \(0.645544\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.804063 | − | 1.39268i | −0.0493932 | − | 0.0855515i | ||||
\(266\) | 1.57770 | + | 2.73266i | 0.0967352 | + | 0.167550i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.0965271 | − | 0.167190i | −0.00589633 | − | 0.0102127i | ||||
\(269\) | −5.06153 | + | 8.76682i | −0.308607 | + | 0.534522i | −0.978058 | − | 0.208334i | \(-0.933196\pi\) |
0.669451 | + | 0.742856i | \(0.266529\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −5.36465 | + | 9.29185i | −0.325879 | + | 0.564440i | −0.981690 | − | 0.190486i | \(-0.938994\pi\) |
0.655811 | + | 0.754926i | \(0.272327\pi\) | |||||||
\(272\) | −6.34844 | −0.384931 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −0.792239 | − | 1.37220i | −0.0478609 | − | 0.0828975i | ||||
\(275\) | −23.4351 | −1.41319 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.12390 | − | 1.94665i | 0.0675284 | − | 0.116963i | −0.830284 | − | 0.557340i | \(-0.811822\pi\) |
0.897813 | + | 0.440377i | \(0.145155\pi\) | |||||||
\(278\) | 14.6933 | 0.881245 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.556082 | − | 0.963162i | −0.0332322 | − | 0.0575599i | ||||
\(281\) | −6.41957 | − | 11.1190i | −0.382959 | − | 0.663305i | 0.608524 | − | 0.793535i | \(-0.291762\pi\) |
−0.991484 | + | 0.130230i | \(0.958428\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 13.3349 | + | 23.0967i | 0.792676 | + | 1.37295i | 0.924305 | + | 0.381656i | \(0.124646\pi\) |
−0.131629 | + | 0.991299i | \(0.542021\pi\) | |||||||
\(284\) | −0.0887321 | − | 0.153688i | −0.00526528 | − | 0.00911973i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −7.87018 | −0.465373 | ||||||||
\(287\) | 1.70413 | 0.100592 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 7.27302 | + | 12.5972i | 0.427825 | + | 0.741014i | ||||
\(290\) | −1.41789 | − | 2.45586i | −0.0832614 | − | 0.144213i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −0.163768 | + | 0.283655i | −0.00958380 | + | 0.0165996i | ||||
\(293\) | −16.0284 | − | 27.7620i | −0.936389 | − | 1.62187i | −0.772138 | − | 0.635455i | \(-0.780812\pi\) |
−0.164251 | − | 0.986419i | \(-0.552521\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −5.33066 | −0.310363 | ||||||||
\(296\) | 18.6163 | 1.08205 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 6.58155 | − | 11.3996i | 0.381259 | − | 0.660360i | ||||
\(299\) | 5.87029 | 0.339488 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 3.42989 | 0.197696 | ||||||||
\(302\) | −12.3435 | + | 21.3796i | −0.710288 | + | 1.23026i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −8.99640 | + | 15.5822i | −0.515979 | + | 0.893701i | ||||
\(305\) | −0.309422 | + | 0.535934i | −0.0177174 | + | 0.0306875i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 3.03945 | + | 5.26448i | 0.173471 | + | 0.300460i | 0.939631 | − | 0.342190i | \(-0.111169\pi\) |
−0.766160 | + | 0.642649i | \(0.777835\pi\) | |||||||
\(308\) | 0.0713424 | 0.00406511 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −1.67469 | −0.0951160 | ||||||||
\(311\) | 2.74801 | + | 4.75969i | 0.155825 | + | 0.269897i | 0.933359 | − | 0.358944i | \(-0.116863\pi\) |
−0.777534 | + | 0.628841i | \(0.783530\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 10.4794 | − | 18.1508i | 0.592331 | − | 1.02595i | −0.401587 | − | 0.915821i | \(-0.631541\pi\) |
0.993918 | − | 0.110126i | \(-0.0351254\pi\) | |||||||
\(314\) | −11.6023 | + | 20.0957i | −0.654754 | + | 1.13407i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.153610 | − | 0.266060i | 0.00864122 | − | 0.0149670i | ||||
\(317\) | −22.0410 | −1.23795 | −0.618974 | − | 0.785412i | \(-0.712451\pi\) | ||||
−0.618974 | + | 0.785412i | \(0.712451\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −13.4672 | −0.754020 | ||||||||
\(320\) | 3.12862 | − | 5.41893i | 0.174895 | − | 0.302928i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −4.04600 | −0.225475 | ||||||||
\(323\) | −6.95502 | −0.386988 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −2.25366 | − | 3.90346i | −0.125011 | − | 0.216525i | ||||
\(326\) | −2.41083 | + | 4.17568i | −0.133524 | + | 0.231270i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 4.79475 | + | 8.30475i | 0.264746 | + | 0.458553i | ||||
\(329\) | −0.805506 | − | 1.39518i | −0.0444090 | − | 0.0769186i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −13.6761 | −0.751706 | −0.375853 | − | 0.926679i | \(-0.622650\pi\) | ||||
−0.375853 | + | 0.926679i | \(0.622650\pi\) | |||||||
\(332\) | −0.100296 | −0.00550448 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 11.7158 | + | 20.2924i | 0.641062 | + | 1.11035i | ||||
\(335\) | 2.87176 | + | 4.97403i | 0.156901 | + | 0.271760i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 7.48346 | + | 12.9617i | 0.407650 | + | 0.706071i | 0.994626 | − | 0.103534i | \(-0.0330149\pi\) |
−0.586976 | + | 0.809605i | \(0.699682\pi\) | |||||||
\(338\) | 8.49660 | + | 14.7165i | 0.462154 | + | 0.800474i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.0331120 | −0.00179575 | ||||||||
\(341\) | −3.97658 | + | 6.88764i | −0.215344 | + | 0.372987i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −6.86479 | −0.370664 | ||||||||
\(344\) | 9.65036 | + | 16.7149i | 0.520312 | + | 0.901207i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 11.9617 | 0.643067 | ||||||||
\(347\) | 10.8865 | − | 18.8559i | 0.584415 | − | 1.01224i | −0.410533 | − | 0.911846i | \(-0.634657\pi\) |
0.994948 | − | 0.100391i | \(-0.0320094\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 5.72955 | − | 9.92387i | 0.306696 | − | 0.531212i | −0.670942 | − | 0.741510i | \(-0.734110\pi\) |
0.977637 | + | 0.210298i | \(0.0674433\pi\) | |||||||
\(350\) | 1.55330 | + | 2.69039i | 0.0830274 | + | 0.143808i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0.404170 | + | 0.700043i | 0.0215423 | + | 0.0373124i | ||||
\(353\) | 4.51021 | + | 7.81192i | 0.240054 | + | 0.415786i | 0.960730 | − | 0.277487i | \(-0.0895014\pi\) |
−0.720675 | + | 0.693273i | \(0.756168\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 2.63985 | + | 4.57235i | 0.140109 | + | 0.242675i | ||||
\(356\) | −0.246084 | + | 0.426231i | −0.0130424 | + | 0.0225902i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −10.0831 | − | 17.4645i | −0.532910 | − | 0.923027i | ||||
\(359\) | 13.5949 | − | 23.5471i | 0.717513 | − | 1.24277i | −0.244469 | − | 0.969657i | \(-0.578614\pi\) |
0.961982 | − | 0.273112i | \(-0.0880530\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −0.355983 | + | 0.616581i | −0.0187360 | + | 0.0324516i | ||||
\(362\) | 10.4278 | − | 18.0615i | 0.548075 | − | 0.949294i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.00686074 | + | 0.0118831i | 0.000359600 | + | 0.000622846i | ||||
\(365\) | 4.87223 | − | 8.43895i | 0.255024 | − | 0.441715i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 5.41246 | − | 9.37466i | 0.282528 | − | 0.489353i | −0.689479 | − | 0.724306i | \(-0.742160\pi\) |
0.972007 | + | 0.234953i | \(0.0754936\pi\) | |||||||
\(368\) | −11.5356 | − | 19.9802i | −0.601334 | − | 1.04154i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 7.48110 | 0.388924 | ||||||||
\(371\) | 0.506192 | + | 0.876750i | 0.0262802 | + | 0.0455186i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 0.836250 | 0.0432994 | 0.0216497 | − | 0.999766i | \(-0.493108\pi\) | ||||
0.0216497 | + | 0.999766i | \(0.493108\pi\) | |||||||
\(374\) | −5.97812 | + | 10.3544i | −0.309121 | + | 0.535413i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 4.53275 | − | 7.85095i | 0.233759 | − | 0.404882i | ||||
\(377\) | −1.29509 | − | 2.24317i | −0.0667007 | − | 0.115529i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −14.1962 | + | 24.5885i | −0.729209 | + | 1.26303i | 0.228009 | + | 0.973659i | \(0.426778\pi\) |
−0.957218 | + | 0.289368i | \(0.906555\pi\) | |||||||
\(380\) | −0.0469231 | + | 0.0812733i | −0.00240711 | + | 0.00416923i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 18.2063 | 0.931517 | ||||||||
\(383\) | 4.99235 | + | 8.64700i | 0.255097 | + | 0.441841i | 0.964922 | − | 0.262537i | \(-0.0845592\pi\) |
−0.709825 | + | 0.704378i | \(0.751226\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −2.12249 | −0.108172 | ||||||||
\(386\) | 4.03549 | + | 6.98967i | 0.205401 | + | 0.355765i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −0.0437940 | −0.00222331 | ||||||||
\(389\) | 8.36428 | 0.424086 | 0.212043 | − | 0.977260i | \(-0.431988\pi\) | ||||
0.212043 | + | 0.977260i | \(0.431988\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 4.45902 | − | 7.72325i | 0.225502 | − | 0.390582i | ||||
\(392\) | −9.48236 | − | 16.4239i | −0.478931 | − | 0.829533i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 7.41914 | + | 12.8503i | 0.373771 | + | 0.647390i | ||||
\(395\) | −4.57001 | + | 7.91550i | −0.229942 | + | 0.398272i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.03227 | + | 3.52000i | −0.101997 | + | 0.176664i | −0.912507 | − | 0.409061i | \(-0.865856\pi\) |
0.810510 | + | 0.585724i | \(0.199190\pi\) | |||||||
\(398\) | 22.2236 | 1.11397 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −8.85725 | + | 15.3412i | −0.442862 | + | 0.767060i | ||||
\(401\) | 15.4101 | − | 26.6910i | 0.769542 | − | 1.33289i | −0.168270 | − | 0.985741i | \(-0.553818\pi\) |
0.937812 | − | 0.347144i | \(-0.112849\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.52965 | −0.0761974 | ||||||||
\(404\) | −0.300555 | −0.0149532 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.892622 | + | 1.54607i | 0.0443001 | + | 0.0767300i | ||||
\(407\) | 17.7640 | − | 30.7682i | 0.880529 | − | 1.52512i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 15.4937 | 0.766114 | 0.383057 | − | 0.923725i | \(-0.374871\pi\) | ||||
0.383057 | + | 0.923725i | \(0.374871\pi\) | |||||||
\(410\) | 1.92681 | + | 3.33733i | 0.0951582 | + | 0.164819i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −0.157245 | − | 0.220122i | −0.00774691 | − | 0.0108446i | ||||
\(413\) | 3.35588 | 0.165132 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.98390 | 0.146474 | ||||||||
\(416\) | −0.0777350 | + | 0.134641i | −0.00381127 | + | 0.00660132i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 16.9432 | + | 29.3465i | 0.828720 | + | 1.43538i | ||||
\(419\) | 5.50841 | − | 9.54084i | 0.269103 | − | 0.466101i | −0.699527 | − | 0.714606i | \(-0.746606\pi\) |
0.968631 | + | 0.248505i | \(0.0799393\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 24.0374 | 1.17151 | 0.585756 | − | 0.810487i | \(-0.300798\pi\) | ||||
0.585756 | + | 0.810487i | \(0.300798\pi\) | |||||||
\(422\) | −8.01362 | −0.390097 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −2.84844 | + | 4.93365i | −0.138333 | + | 0.239599i | ||||
\(425\) | −6.84745 | −0.332150 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.194794 | − | 0.337393i | 0.00942674 | − | 0.0163276i | ||||
\(428\) | 0.0309917 | + | 0.0536792i | 0.00149804 | + | 0.00259468i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 3.87807 | + | 6.71701i | 0.187017 | + | 0.323923i | ||||
\(431\) | 13.2337 | + | 22.9214i | 0.637444 | + | 1.10408i | 0.985992 | + | 0.166794i | \(0.0533415\pi\) |
−0.348548 | + | 0.937291i | \(0.613325\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −2.63294 | + | 4.56038i | −0.126531 | + | 0.219158i | −0.922330 | − | 0.386402i | \(-0.873718\pi\) |
0.795799 | + | 0.605560i | \(0.207051\pi\) | |||||||
\(434\) | 1.05429 | 0.0506074 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.384005 | 0.0183905 | ||||||||
\(437\) | −12.6378 | − | 21.8893i | −0.604547 | − | 1.04711i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 19.2622 | 0.919337 | 0.459668 | − | 0.888091i | \(-0.347968\pi\) | ||||
0.459668 | + | 0.888091i | \(0.347968\pi\) | |||||||
\(440\) | −5.97185 | − | 10.3436i | −0.284697 | − | 0.493110i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −2.29957 | −0.109380 | ||||||||
\(443\) | 20.1058 | 0.955254 | 0.477627 | − | 0.878563i | \(-0.341497\pi\) | ||||
0.477627 | + | 0.878563i | \(0.341497\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 7.32121 | − | 12.6807i | 0.347059 | − | 0.601123i | ||||
\(446\) | 22.8235 | 1.08073 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −1.96960 | + | 3.41145i | −0.0930548 | + | 0.161176i | ||||
\(449\) | 7.15720 | 0.337769 | 0.168885 | − | 0.985636i | \(-0.445983\pi\) | ||||
0.168885 | + | 0.985636i | \(0.445983\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 18.3010 | 0.861758 | ||||||||
\(452\) | 0.0945238 | − | 0.163720i | 0.00444602 | − | 0.00770074i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −40.8237 | −1.91595 | ||||||||
\(455\) | −0.204112 | − | 0.353533i | −0.00956894 | − | 0.0165739i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −5.35158 | + | 9.26921i | −0.250336 | + | 0.433596i | −0.963618 | − | 0.267282i | \(-0.913875\pi\) |
0.713282 | + | 0.700877i | \(0.247208\pi\) | |||||||
\(458\) | 15.8315 | + | 27.4209i | 0.739755 | + | 1.28129i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.0601670 | − | 0.104212i | −0.00280530 | − | 0.00485892i | ||||
\(461\) | 4.07377 | + | 7.05598i | 0.189734 | + | 0.328630i | 0.945162 | − | 0.326603i | \(-0.105904\pi\) |
−0.755427 | + | 0.655233i | \(0.772571\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −0.934831 | + | 1.61917i | −0.0434453 | + | 0.0752494i | −0.886930 | − | 0.461903i | \(-0.847167\pi\) |
0.843485 | + | 0.537153i | \(0.180500\pi\) | |||||||
\(464\) | −5.08992 | + | 8.81600i | −0.236294 | + | 0.409273i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −5.79365 | − | 10.0349i | −0.268385 | − | 0.464857i | ||||
\(467\) | 0.799104 | + | 1.38409i | 0.0369781 | + | 0.0640480i | 0.883922 | − | 0.467634i | \(-0.154893\pi\) |
−0.846944 | + | 0.531682i | \(0.821560\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.80789 | − | 3.13136i | −0.0834807 | − | 0.144593i | ||||
\(470\) | 1.82152 | − | 3.15496i | 0.0840204 | − | 0.145528i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 9.44211 | + | 16.3542i | 0.434608 | + | 0.752763i | ||||
\(473\) | 36.8342 | 1.69364 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −9.70354 | + | 16.8070i | −0.445229 | + | 0.771159i | ||||
\(476\) | 0.0208454 | 0.000955448 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 26.6910 | 1.22082 | ||||||||
\(479\) | 2.19289 | − | 3.79819i | 0.100195 | − | 0.173544i | −0.811570 | − | 0.584256i | \(-0.801387\pi\) |
0.911765 | + | 0.410712i | \(0.134720\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 6.83319 | 0.311567 | ||||||||
\(482\) | −15.6005 | + | 27.0209i | −0.710584 | + | 1.23077i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.472955 | 0.0214979 | ||||||||
\(485\) | 1.30291 | 0.0591620 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 21.5120 | + | 37.2599i | 0.974802 | + | 1.68841i | 0.680586 | + | 0.732668i | \(0.261725\pi\) |
0.294216 | + | 0.955739i | \(0.404942\pi\) | |||||||
\(488\) | 2.19229 | 0.0992403 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −3.81056 | − | 6.60008i | −0.172143 | − | 0.298161i | ||||
\(491\) | 16.6390 | 0.750906 | 0.375453 | − | 0.926841i | \(-0.377487\pi\) | ||||
0.375453 | + | 0.926841i | \(0.377487\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −3.93497 | −0.177222 | ||||||||
\(494\) | −3.25873 | + | 5.64429i | −0.146617 | + | 0.253949i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 3.00589 | + | 5.20635i | 0.134968 | + | 0.233772i | ||||
\(497\) | −1.66190 | − | 2.87849i | −0.0745463 | − | 0.129118i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 0.192309 | + | 0.333090i | 0.00860895 | + | 0.0149111i | 0.870298 | − | 0.492526i | \(-0.163926\pi\) |
−0.861689 | + | 0.507437i | \(0.830593\pi\) | |||||||
\(500\) | −0.0990409 | + | 0.171544i | −0.00442925 | + | 0.00767168i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −21.7349 | −0.970075 | ||||||||
\(503\) | 0.332294 | − | 0.575549i | 0.0148162 | − | 0.0256625i | −0.858522 | − | 0.512776i | \(-0.828617\pi\) |
0.873338 | + | 0.487114i | \(0.161950\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 8.94176 | 0.397903 | ||||||||
\(506\) | −43.4507 | −1.93162 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −0.0787697 | + | 0.136433i | −0.00349484 | + | 0.00605324i | ||||
\(509\) | 18.6579 | + | 32.3165i | 0.826999 | + | 1.43240i | 0.900382 | + | 0.435100i | \(0.143287\pi\) |
−0.0733836 | + | 0.997304i | \(0.523380\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −3.06728 | + | 5.31268i | −0.135688 | + | 0.235019i | ||||
\(512\) | −22.1586 | −0.979283 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −11.9439 | −0.526824 | ||||||||
\(515\) | 4.67817 | + | 6.54881i | 0.206145 | + | 0.288575i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −8.65047 | − | 14.9830i | −0.380447 | − | 0.658954i | ||||
\(518\) | −4.70967 | −0.206931 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 1.14858 | − | 1.98940i | 0.0503687 | − | 0.0872411i | ||||
\(521\) | 3.24693 | + | 5.62385i | 0.142251 | + | 0.246385i | 0.928344 | − | 0.371723i | \(-0.121233\pi\) |
−0.786093 | + | 0.618108i | \(0.787899\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 19.1218 | 0.836140 | 0.418070 | − | 0.908415i | \(-0.362707\pi\) | ||||
0.418070 | + | 0.908415i | \(0.362707\pi\) | |||||||
\(524\) | −0.111605 | −0.00487548 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 12.8439 | − | 22.2463i | 0.560020 | − | 0.969984i | ||||
\(527\) | −1.16191 | + | 2.01249i | −0.0506136 | + | 0.0876653i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 9.40950 | 0.409108 | ||||||||
\(530\) | −1.14467 | + | 1.98263i | −0.0497213 | + | 0.0861197i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.0295401 | − | 0.0511650i | 0.00128073 | − | 0.00221828i | ||||
\(533\) | 1.75993 | + | 3.04830i | 0.0762312 | + | 0.132036i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −0.922027 | − | 1.59700i | −0.0398627 | − | 0.0690442i | ||||
\(536\) | 10.1734 | − | 17.6208i | 0.439423 | − | 0.761103i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 14.4112 | 0.621313 | ||||||||
\(539\) | −36.1930 | −1.55894 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −1.66443 | − | 2.88287i | −0.0715593 | − | 0.123944i | 0.828026 | − | 0.560690i | \(-0.189464\pi\) |
−0.899585 | + | 0.436746i | \(0.856131\pi\) | |||||||
\(542\) | 15.2743 | 0.656088 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.118094 | + | 0.204544i | 0.00506322 | + | 0.00876976i | ||||
\(545\) | −11.4245 | −0.489370 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −6.87250 | + | 11.9035i | −0.293847 | + | 0.508958i | −0.974716 | − | 0.223447i | \(-0.928269\pi\) |
0.680869 | + | 0.732405i | \(0.261602\pi\) | |||||||
\(548\) | −0.0148335 | + | 0.0256923i | −0.000633655 | + | 0.00109752i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 16.6812 | + | 28.8926i | 0.711287 | + | 1.23198i | ||||
\(551\) | −5.57625 | + | 9.65835i | −0.237556 | + | 0.411460i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 2.87702 | − | 4.98314i | 0.122343 | − | 0.211905i | ||||
\(554\) | −3.19997 | −0.135954 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −0.137555 | − | 0.238252i | −0.00583363 | − | 0.0101041i | ||||
\(557\) | −5.22582 | −0.221425 | −0.110713 | − | 0.993852i | \(-0.535313\pi\) | ||||
−0.110713 | + | 0.993852i | \(0.535313\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 3.54221 | + | 6.13528i | 0.149819 | + | 0.259495i | ||||
\(560\) | −0.802194 | + | 1.38944i | −0.0338989 | + | 0.0587146i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −9.13894 | + | 15.8291i | −0.385503 | + | 0.667711i | ||||
\(563\) | −18.5523 | − | 32.1336i | −0.781888 | − | 1.35427i | −0.930841 | − | 0.365425i | \(-0.880924\pi\) |
0.148953 | − | 0.988844i | \(-0.452410\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −2.81216 | + | 4.87080i | −0.118308 | + | 0.204916i | ||||
\(566\) | 18.9836 | − | 32.8806i | 0.797940 | − | 1.38207i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 9.35183 | − | 16.1979i | 0.392394 | − | 0.679647i | ||||
\(569\) | 20.1643 | + | 34.9256i | 0.845332 | + | 1.46416i | 0.885332 | + | 0.464959i | \(0.153931\pi\) |
−0.0399999 | + | 0.999200i | \(0.512736\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −8.36554 | + | 14.4895i | −0.350087 | + | 0.606368i | −0.986264 | − | 0.165175i | \(-0.947181\pi\) |
0.636178 | + | 0.771543i | \(0.280515\pi\) | |||||||
\(572\) | 0.0736786 | + | 0.127615i | 0.00308066 | + | 0.00533585i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −1.21301 | − | 2.10099i | −0.0506299 | − | 0.0876935i | ||||
\(575\) | −12.4423 | − | 21.5507i | −0.518881 | − | 0.898727i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 8.95716 | + | 15.5143i | 0.372891 | + | 0.645867i | 0.990009 | − | 0.141004i | \(-0.0450331\pi\) |
−0.617118 | + | 0.786871i | \(0.711700\pi\) | |||||||
\(578\) | 10.3539 | − | 17.9335i | 0.430666 | − | 0.745936i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.0265479 | + | 0.0459822i | −0.00110234 | + | 0.00190931i | ||||
\(581\) | −1.87849 | −0.0779329 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 5.43608 | + | 9.41556i | 0.225139 | + | 0.389953i | ||||
\(584\) | −34.5204 | −1.42846 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −22.8181 | + | 39.5222i | −0.942608 | + | 1.63265i | ||||
\(587\) | −13.2017 | −0.544892 | −0.272446 | − | 0.962171i | \(-0.587833\pi\) | ||||
−0.272446 | + | 0.962171i | \(0.587833\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 3.29309 | + | 5.70380i | 0.135690 | + | 0.235021i | ||||
\(590\) | 3.79438 | + | 6.57207i | 0.156212 | + | 0.270568i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −13.4278 | − | 23.2576i | −0.551878 | − | 0.955880i | ||||
\(593\) | −12.0171 | − | 20.8142i | −0.493482 | − | 0.854737i | 0.506489 | − | 0.862246i | \(-0.330943\pi\) |
−0.999972 | + | 0.00750950i | \(0.997610\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.620168 | −0.0254244 | ||||||||
\(596\) | −0.246459 | −0.0100954 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −4.17849 | − | 7.23736i | −0.170871 | − | 0.295958i | ||||
\(599\) | 7.92659 | + | 13.7292i | 0.323872 | + | 0.560962i | 0.981283 | − | 0.192570i | \(-0.0616821\pi\) |
−0.657412 | + | 0.753531i | \(0.728349\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 9.28220 | − | 16.0773i | 0.378629 | − | 0.655805i | −0.612234 | − | 0.790677i | \(-0.709729\pi\) |
0.990863 | + | 0.134872i | \(0.0430623\pi\) | |||||||
\(602\) | −2.44141 | − | 4.22864i | −0.0995044 | − | 0.172347i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.462227 | 0.0188077 | ||||||||
\(605\) | −14.0708 | −0.572059 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −4.01575 | + | 6.95548i | −0.162994 | + | 0.282314i | −0.935941 | − | 0.352156i | \(-0.885449\pi\) |
0.772947 | + | 0.634471i | \(0.218782\pi\) | |||||||
\(608\) | 0.669403 | 0.0271479 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.880989 | 0.0356702 | ||||||||
\(611\) | 1.66377 | − | 2.88173i | 0.0673088 | − | 0.116582i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 16.5991 | − | 28.7506i | 0.670433 | − | 1.16122i | −0.307348 | − | 0.951597i | \(-0.599442\pi\) |
0.977781 | − | 0.209627i | \(-0.0672250\pi\) | |||||||
\(614\) | 4.32698 | − | 7.49455i | 0.174623 | − | 0.302455i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 3.75954 | + | 6.51171i | 0.151476 | + | 0.262364i | ||||
\(617\) | 4.18795 | 0.168600 | 0.0843002 | − | 0.996440i | \(-0.473135\pi\) | ||||
0.0843002 | + | 0.996440i | \(0.473135\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 9.92196 | 0.398797 | 0.199399 | − | 0.979918i | \(-0.436101\pi\) | ||||
0.199399 | + | 0.979918i | \(0.436101\pi\) | |||||||
\(620\) | 0.0156780 | + | 0.0271551i | 0.000629644 | + | 0.00109058i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 3.91208 | − | 6.77593i | 0.156860 | − | 0.271690i | ||||
\(623\) | −4.60901 | + | 7.98304i | −0.184656 | + | 0.319834i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −7.98131 | + | 13.8240i | −0.319253 | + | 0.552962i | ||||
\(626\) | −29.8371 | −1.19253 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0.434470 | 0.0173373 | ||||||||
\(629\) | 5.19043 | − | 8.99009i | 0.206956 | − | 0.358459i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 12.6437 | 0.503338 | 0.251669 | − | 0.967813i | \(-0.419021\pi\) | ||||
0.251669 | + | 0.967813i | \(0.419021\pi\) | |||||||
\(632\) | 32.3791 | 1.28797 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 15.6889 | + | 27.1739i | 0.623085 | + | 1.07921i | ||||
\(635\) | 2.34346 | − | 4.05899i | 0.0929974 | − | 0.161076i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −3.48054 | − | 6.02848i | −0.137904 | − | 0.238857i | ||||
\(638\) | 9.58602 | + | 16.6035i | 0.379514 | + | 0.657338i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −9.14698 | −0.361566 | ||||||||
\(641\) | −38.6423 | −1.52628 | −0.763139 | − | 0.646234i | \(-0.776343\pi\) | ||||
−0.763139 | + | 0.646234i | \(0.776343\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −21.6536 | − | 37.5051i | −0.853934 | − | 1.47906i | −0.877630 | − | 0.479338i | \(-0.840877\pi\) |
0.0236960 | − | 0.999719i | \(-0.492457\pi\) | |||||||
\(644\) | 0.0378777 | + | 0.0656060i | 0.00149259 | + | 0.00258524i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 4.95061 | + | 8.57470i | 0.194779 | + | 0.337367i | ||||
\(647\) | −12.4689 | − | 21.5968i | −0.490204 | − | 0.849058i | 0.509732 | − | 0.860333i | \(-0.329744\pi\) |
−0.999936 | + | 0.0112748i | \(0.996411\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 36.0393 | 1.41467 | ||||||||
\(650\) | −3.20833 | + | 5.55699i | −0.125841 | + | 0.217963i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0.0902784 | 0.00353558 | ||||||||
\(653\) | 22.0432 | + | 38.1799i | 0.862615 | + | 1.49409i | 0.869396 | + | 0.494117i | \(0.164508\pi\) |
−0.00678013 | + | 0.999977i | \(0.502158\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 3.32033 | 0.129736 | ||||||||
\(656\) | 6.91682 | − | 11.9803i | 0.270056 | − | 0.467751i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −1.14672 | + | 1.98618i | −0.0447039 | + | 0.0774295i | ||||
\(659\) | −6.96520 | − | 12.0641i | −0.271326 | − | 0.469950i | 0.697876 | − | 0.716219i | \(-0.254129\pi\) |
−0.969202 | + | 0.246269i | \(0.920795\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −2.57315 | − | 4.45683i | −0.100084 | − | 0.173351i | 0.811635 | − | 0.584165i | \(-0.198578\pi\) |
−0.911719 | + | 0.410814i | \(0.865245\pi\) | |||||||
\(662\) | 9.73469 | + | 16.8610i | 0.378349 | + | 0.655321i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −5.28532 | − | 9.15445i | −0.205110 | − | 0.355262i | ||||
\(665\) | −0.878842 | + | 1.52220i | −0.0340800 | + | 0.0590283i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −7.15012 | − | 12.3844i | −0.276854 | − | 0.479525i | ||||
\(668\) | 0.219361 | − | 0.379945i | 0.00848735 | − | 0.0147005i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 4.08825 | − | 7.08106i | 0.157943 | − | 0.273565i | ||||
\(671\) | 2.09192 | − | 3.62332i | 0.0807579 | − | 0.139877i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −13.0369 | − | 22.5806i | −0.502537 | − | 0.870419i | −0.999996 | − | 0.00293163i | \(-0.999067\pi\) |
0.497459 | − | 0.867487i | \(-0.334267\pi\) | |||||||
\(674\) | 10.6535 | − | 18.4524i | 0.410358 | − | 0.710760i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0.159086 | − | 0.275545i | 0.00611869 | − | 0.0105979i | ||||
\(677\) | −12.0214 | − | 20.8216i | −0.462018 | − | 0.800239i | 0.537043 | − | 0.843555i | \(-0.319541\pi\) |
−0.999061 | + | 0.0433158i | \(0.986208\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.820236 | −0.0314778 | ||||||||
\(680\) | −1.74491 | − | 3.02226i | −0.0669141 | − | 0.115899i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 11.3222 | 0.433548 | ||||||||
\(683\) | −24.0939 | + | 41.7318i | −0.921927 | + | 1.59682i | −0.125497 | + | 0.992094i | \(0.540052\pi\) |
−0.796430 | + | 0.604730i | \(0.793281\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.441308 | − | 0.764368i | 0.0168615 | − | 0.0292050i | ||||
\(686\) | 4.88638 | + | 8.46346i | 0.186563 | + | 0.323136i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 13.9214 | − | 24.1126i | 0.530750 | − | 0.919286i | ||||
\(689\) | −1.04553 | + | 1.81092i | −0.0398317 | + | 0.0689905i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −33.8142 | −1.28635 | −0.643177 | − | 0.765717i | \(-0.722384\pi\) | ||||
−0.643177 | + | 0.765717i | \(0.722384\pi\) | |||||||
\(692\) | −0.111983 | − | 0.193960i | −0.00425695 | − | 0.00737325i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −30.9960 | −1.17659 | ||||||||
\(695\) | 4.09237 | + | 7.08819i | 0.155232 | + | 0.268870i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 5.34732 | 0.202544 | ||||||||
\(698\) | −16.3132 | −0.617465 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0.0290832 | − | 0.0503736i | 0.00109924 | − | 0.00190394i | ||||
\(701\) | −2.15364 | − | 3.73022i | −0.0813420 | − | 0.140889i | 0.822485 | − | 0.568787i | \(-0.192587\pi\) |
−0.903827 | + | 0.427899i | \(0.859254\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −14.7108 | − | 25.4798i | −0.554827 | − | 0.960988i | ||||
\(704\) | −21.1519 | + | 36.6361i | −0.797191 | + | 1.38077i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 6.42077 | − | 11.1211i | 0.241649 | − | 0.418548i | ||||
\(707\) | −5.62922 | −0.211708 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −14.4055 | + | 24.9510i | −0.541009 | + | 0.937054i | 0.457838 | + | 0.889036i | \(0.348624\pi\) |
−0.998846 | + | 0.0480187i | \(0.984709\pi\) | |||||||
\(710\) | 3.75811 | − | 6.50923i | 0.141039 | − | 0.244287i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −51.8717 | −1.94397 | ||||||||
\(713\) | −8.44511 | −0.316272 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.19200 | − | 3.79665i | −0.0819761 | − | 0.141987i | ||||
\(716\) | −0.188791 | + | 0.326996i | −0.00705547 | + | 0.0122204i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −38.7077 | −1.44456 | ||||||||
\(719\) | 12.0942 | + | 20.9478i | 0.451038 | + | 0.781221i | 0.998451 | − | 0.0556421i | \(-0.0177206\pi\) |
−0.547413 | + | 0.836863i | \(0.684387\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −2.94510 | − | 4.12275i | −0.109681 | − | 0.153539i | ||||
\(722\) | 1.01356 | 0.0377208 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −0.390491 | −0.0145125 | ||||||||
\(725\) | −5.49000 | + | 9.50896i | −0.203894 | + | 0.353154i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 11.6180 | + | 20.1230i | 0.430888 | + | 0.746321i | 0.996950 | − | 0.0780424i | \(-0.0248669\pi\) |
−0.566062 | + | 0.824363i | \(0.691534\pi\) | |||||||
\(728\) | −0.723081 | + | 1.25241i | −0.0267992 | + | 0.0464175i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −13.8723 | −0.513436 | ||||||||
\(731\) | 10.7625 | 0.398066 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 2.65005 | − | 4.59003i | 0.0978820 | − | 0.169537i | −0.812926 | − | 0.582367i | \(-0.802127\pi\) |
0.910808 | + | 0.412831i | \(0.135460\pi\) | |||||||
\(734\) | −15.4104 | −0.568809 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.429170 | + | 0.743344i | −0.0158194 | + | 0.0274000i | ||||
\(737\) | −19.4153 | − | 33.6282i | −0.715171 | − | 1.23871i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 18.8249 | + | 32.6058i | 0.692487 | + | 1.19942i | 0.971021 | + | 0.238996i | \(0.0768183\pi\) |
−0.278534 | + | 0.960426i | \(0.589848\pi\) | |||||||
\(740\) | −0.0700361 | − | 0.121306i | −0.00257458 | − | 0.00445930i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.720618 | − | 1.24815i | 0.0264547 | − | 0.0458209i | ||||
\(743\) | −3.98500 | −0.146196 | −0.0730978 | − | 0.997325i | \(-0.523289\pi\) | ||||
−0.0730978 | + | 0.997325i | \(0.523289\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 7.33236 | 0.268637 | ||||||||
\(746\) | −0.595246 | − | 1.03100i | −0.0217935 | − | 0.0377474i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.223862 | 0.00818522 | ||||||||
\(749\) | 0.580455 | + | 1.00538i | 0.0212094 | + | 0.0367357i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 47.3532 | 1.72794 | 0.863972 | − | 0.503540i | \(-0.167969\pi\) | ||||
0.863972 | + | 0.503540i | \(0.167969\pi\) | |||||||
\(752\) | −13.0777 | −0.476896 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −1.84370 | + | 3.19339i | −0.0671437 | + | 0.116296i | ||||
\(755\) | −13.7516 | −0.500472 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 22.2718 | − | 38.5759i | 0.809483 | − | 1.40207i | −0.103739 | − | 0.994605i | \(-0.533081\pi\) |
0.913222 | − | 0.407461i | \(-0.133586\pi\) | |||||||
\(758\) | 40.4195 | 1.46810 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −9.89084 | −0.358779 | ||||||||
\(761\) | −5.06122 | + | 8.76628i | −0.183469 | + | 0.317778i | −0.943060 | − | 0.332624i | \(-0.892066\pi\) |
0.759591 | + | 0.650402i | \(0.225399\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 7.19217 | 0.260374 | ||||||||
\(764\) | −0.170443 | − | 0.295216i | −0.00616642 | − | 0.0106805i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 7.10714 | − | 12.3099i | 0.256791 | − | 0.444776i | ||||
\(767\) | 3.46577 | + | 6.00289i | 0.125142 | + | 0.216752i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 10.3398 | + | 17.9090i | 0.372862 | + | 0.645816i | 0.990005 | − | 0.141035i | \(-0.0450432\pi\) |
−0.617143 | + | 0.786851i | \(0.711710\pi\) | |||||||
\(770\) | 1.51080 | + | 2.61678i | 0.0544454 | + | 0.0943022i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0.0755584 | − | 0.130871i | 0.00271941 | − | 0.00471015i | ||||
\(773\) | −7.00827 | + | 12.1387i | −0.252070 | + | 0.436598i | −0.964096 | − | 0.265555i | \(-0.914445\pi\) |
0.712026 | + | 0.702154i | \(0.247778\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 3.24216 | + | 5.61558i | 0.116462 | + | 0.201718i | ||||
\(776\) | −2.30782 | − | 3.99726i | −0.0828458 | − | 0.143493i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −5.95372 | − | 10.3121i | −0.213451 | − | 0.369708i | ||||
\(779\) | 7.57771 | − | 13.1250i | 0.271499 | − | 0.470251i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −17.8474 | − | 30.9126i | −0.638630 | − | 1.10614i | ||||
\(782\) | −12.6958 | −0.454000 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −13.6791 | + | 23.6929i | −0.488539 | + | 0.846174i | ||||
\(785\) | −12.9258 | −0.461343 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −39.5044 | −1.40818 | −0.704089 | − | 0.710111i | \(-0.748645\pi\) | ||||
−0.704089 | + | 0.710111i | \(0.748645\pi\) | |||||||
\(788\) | 0.138912 | − | 0.240603i | 0.00494854 | − | 0.00857112i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 13.0118 | 0.462939 | ||||||||
\(791\) | 1.77037 | − | 3.06637i | 0.0629472 | − | 0.109028i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0.804691 | 0.0285754 | ||||||||
\(794\) | 5.78631 | 0.205349 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −0.208052 | − | 0.360357i | −0.00737421 | − | 0.0127725i | ||||
\(797\) | 46.0987 | 1.63290 | 0.816449 | − | 0.577417i | \(-0.195939\pi\) | ||||
0.816449 | + | 0.577417i | \(0.195939\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −2.52756 | − | 4.37787i | −0.0894188 | − | 0.154878i | ||||
\(800\) | 0.659050 | 0.0233009 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −43.8757 | −1.54931 | ||||||||
\(803\) | −32.9400 | + | 57.0537i | −1.16243 | + | 2.01338i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −1.12689 | − | 1.95183i | −0.0397177 | − | 0.0687930i | ||||
\(806\) | 1.08881 | + | 1.88588i | 0.0383517 | + | 0.0664272i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −15.8384 | − | 27.4329i | −0.557192 | − | 0.965085i | ||||
\(809\) | −4.72427 | + | 8.18268i | −0.166097 | + | 0.287688i | −0.937044 | − | 0.349211i | \(-0.886450\pi\) |
0.770948 | + | 0.636899i | \(0.219783\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 18.2647 | 0.641362 | 0.320681 | − | 0.947187i | \(-0.396088\pi\) | ||||
0.320681 | + | 0.947187i | \(0.396088\pi\) | |||||||
\(812\) | 0.0167130 | − | 0.0289478i | 0.000586511 | − | 0.00101587i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −50.5779 | −1.77275 | ||||||||
\(815\) | −2.68585 | −0.0940814 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 15.2516 | − | 26.4165i | 0.533586 | − | 0.924198i | ||||
\(818\) | −11.0285 | − | 19.1019i | −0.385601 | − | 0.667881i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.0360765 | − | 0.0624864i | 0.00125985 | − | 0.00218212i | ||||
\(821\) | 1.74175 | 0.0607874 | 0.0303937 | − | 0.999538i | \(-0.490324\pi\) | ||||
0.0303937 | + | 0.999538i | \(0.490324\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 33.2419 | 1.15874 | 0.579370 | − | 0.815065i | \(-0.303299\pi\) | ||||
0.579370 | + | 0.815065i | \(0.303299\pi\) | |||||||
\(824\) | 11.8051 | − | 25.9522i | 0.411248 | − | 0.904086i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −2.38872 | − | 4.13739i | −0.0831144 | − | 0.143958i | ||||
\(827\) | −22.4076 | −0.779190 | −0.389595 | − | 0.920986i | \(-0.627385\pi\) | ||||
−0.389595 | + | 0.920986i | \(0.627385\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 13.1951 | − | 22.8546i | 0.458284 | − | 0.793771i | −0.540586 | − | 0.841289i | \(-0.681798\pi\) |
0.998870 | + | 0.0475172i | \(0.0151309\pi\) | |||||||
\(830\) | −2.12395 | − | 3.67879i | −0.0737233 | − | 0.127693i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −8.13638 | −0.282078 | ||||||||
\(833\) | −10.5752 | −0.366407 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −6.52618 | + | 11.3037i | −0.225848 | + | 0.391180i | ||||
\(836\) | 0.317236 | − | 0.549469i | 0.0109718 | − | 0.0190038i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −15.6836 | −0.541781 | ||||||||
\(839\) | 0.296109 | − | 0.512877i | 0.0102228 | − | 0.0177065i | −0.860869 | − | 0.508827i | \(-0.830079\pi\) |
0.871092 | + | 0.491121i | \(0.163413\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 11.3451 | − | 19.6503i | 0.391211 | − | 0.677597i | ||||
\(842\) | −17.1099 | − | 29.6353i | −0.589647 | − | 1.02130i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0.0750215 | + | 0.129941i | 0.00258235 | + | 0.00447276i | ||||
\(845\) | −4.73293 | + | 8.19768i | −0.162818 | + | 0.282009i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 8.85815 | 0.304370 | ||||||||
\(848\) | 8.21823 | 0.282215 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 4.87403 | + | 8.44208i | 0.167178 | + | 0.289561i | ||||
\(851\) | 37.7256 | 1.29322 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −24.2318 | − | 41.9707i | −0.829681 | − | 1.43705i | −0.898289 | − | 0.439405i | \(-0.855189\pi\) |
0.0686083 | − | 0.997644i | \(-0.478144\pi\) | |||||||
\(854\) | −0.554620 | −0.0189787 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −3.26634 | + | 5.65747i | −0.111641 | + | 0.193368i | ||||
\(857\) | 27.7301 | − | 48.0300i | 0.947244 | − | 1.64067i | 0.196049 | − | 0.980594i | \(-0.437189\pi\) |
0.751195 | − | 0.660080i | \(-0.229478\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 17.0215 | + | 29.4821i | 0.580765 | + | 1.00592i | 0.995389 | + | 0.0959220i | \(0.0305800\pi\) |
−0.414623 | + | 0.909993i | \(0.636087\pi\) | |||||||
\(860\) | 0.0726110 | − | 0.125766i | 0.00247602 | − | 0.00428858i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 18.8395 | − | 32.6310i | 0.641677 | − | 1.11142i | ||||
\(863\) | −17.7375 | −0.603790 | −0.301895 | − | 0.953341i | \(-0.597619\pi\) | ||||
−0.301895 | + | 0.953341i | \(0.597619\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 3.33158 | + | 5.77046i | 0.113277 | + | 0.196202i | ||||
\(866\) | 7.49654 | 0.254743 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −0.00986998 | − | 0.0170953i | −0.000335009 | − | 0.000580252i | ||||
\(869\) | 30.8968 | − | 53.5148i | 1.04810 | − | 1.81536i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 3.73419 | − | 6.46780i | 0.126528 | − | 0.219153i | ||||
\(872\) | 20.2359 | + | 35.0496i | 0.685275 | + | 1.18693i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −17.9912 | + | 31.1617i | −0.608563 | + | 1.05406i | ||||
\(875\) | −1.85498 | + | 3.21291i | −0.0627096 | + | 0.108616i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −8.06145 | + | 13.9628i | −0.272216 | + | 0.471492i | −0.969429 | − | 0.245372i | \(-0.921090\pi\) |
0.697213 | + | 0.716864i | \(0.254423\pi\) | |||||||
\(878\) | −13.7109 | − | 23.7480i | −0.462721 | − | 0.801457i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −8.61489 | + | 14.9214i | −0.290408 | + | 0.503001i | ||||
\(881\) | 7.31564 | + | 12.6711i | 0.246470 | + | 0.426899i | 0.962544 | − | 0.271126i | \(-0.0873959\pi\) |
−0.716074 | + | 0.698025i | \(0.754063\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −10.9984 | − | 19.0497i | −0.370124 | − | 0.641074i | 0.619460 | − | 0.785028i | \(-0.287352\pi\) |
−0.989584 | + | 0.143954i | \(0.954018\pi\) | |||||||
\(884\) | 0.0215280 | + | 0.0372876i | 0.000724066 | + | 0.00125412i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −14.3113 | − | 24.7880i | −0.480799 | − | 0.832768i | ||||
\(887\) | −0.330351 | + | 0.572184i | −0.0110921 | + | 0.0192121i | −0.871518 | − | 0.490363i | \(-0.836864\pi\) |
0.860426 | + | 0.509575i | \(0.170197\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −1.47531 | + | 2.55531i | −0.0494802 | + | 0.0857022i | ||||
\(890\) | −20.8450 | −0.698727 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −0.213668 | − | 0.370084i | −0.00715414 | − | 0.0123913i | ||||
\(893\) | −14.3273 | −0.479444 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 5.61670 | − | 9.72840i | 0.187745 | − | 0.325185i | ||||
\(896\) | 5.75841 | 0.192375 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −5.09452 | − | 8.82397i | −0.170006 | − | 0.294460i | ||||
\(899\) | 1.86314 | + | 3.22706i | 0.0621393 | + | 0.107628i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 1.58836 | + | 2.75112i | 0.0529159 | + | 0.0916530i | ||||
\(902\) | −13.0267 | − | 22.5629i | −0.433741 | − | 0.751261i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 19.9245 | 0.662679 | ||||||||
\(905\) | 11.6174 | 0.386176 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −3.57706 | − | 6.19565i | −0.118774 | − | 0.205723i | 0.800508 | − | 0.599322i | \(-0.204563\pi\) |
−0.919282 | + | 0.393599i | \(0.871230\pi\) | |||||||
\(908\) | 0.382181 | + | 0.661958i | 0.0126831 | + | 0.0219678i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.290576 | + | 0.503292i | −0.00963249 | + | 0.0166840i | ||||
\(911\) | −22.7309 | − | 39.3710i | −0.753107 | − | 1.30442i | −0.946310 | − | 0.323261i | \(-0.895221\pi\) |
0.193203 | − | 0.981159i | \(-0.438113\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −20.1734 | −0.667643 | ||||||||
\(914\) | 15.2371 | 0.503998 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0.296420 | − | 0.513415i | 0.00979399 | − | 0.0169637i | ||||
\(917\) | −2.09029 | −0.0690274 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −29.8271 | −0.983906 | −0.491953 | − | 0.870622i | \(-0.663717\pi\) | ||||
−0.491953 | + | 0.870622i | \(0.663717\pi\) | |||||||
\(920\) | 6.34124 | − | 10.9834i | 0.209065 | − | 0.362111i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 5.79945 | − | 10.0449i | 0.190995 | − | 0.330812i | ||||
\(923\) | 3.43263 | − | 5.94550i | 0.112987 | − | 0.195698i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −14.4832 | − | 25.0857i | −0.476205 | − | 0.824812i | ||||
\(926\) | 2.66166 | 0.0874677 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0.378731 | 0.0124324 | ||||||||
\(929\) | 27.2547 | + | 47.2065i | 0.894198 | + | 1.54880i | 0.834794 | + | 0.550562i | \(0.185587\pi\) |
0.0594041 | + | 0.998234i | \(0.481080\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −14.9861 | + | 25.9567i | −0.491149 | + | 0.850695i | ||||
\(932\) | −0.108477 | + | 0.187888i | −0.00355329 | + | 0.00615448i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 1.13761 | − | 1.97040i | 0.0372237 | − | 0.0644734i | ||||
\(935\) | −6.66009 | −0.217808 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 27.9441 | 0.912893 | 0.456446 | − | 0.889751i | \(-0.349122\pi\) | ||||
0.456446 | + | 0.889751i | \(0.349122\pi\) | |||||||
\(938\) | −2.57373 | + | 4.45783i | −0.0840352 | + | 0.145553i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.0682104 | −0.00222478 | ||||||||
\(941\) | −24.5401 | −0.799984 | −0.399992 | − | 0.916519i | \(-0.630987\pi\) | ||||
−0.399992 | + | 0.916519i | \(0.630987\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 9.71648 | + | 16.8294i | 0.316412 | + | 0.548042i | ||||
\(944\) | 13.6210 | − | 23.5923i | 0.443326 | − | 0.767864i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −26.2187 | − | 45.4121i | −0.852444 | − | 1.47648i | ||||
\(947\) | 11.0975 | + | 19.2214i | 0.360620 | + | 0.624612i | 0.988063 | − | 0.154050i | \(-0.0492318\pi\) |
−0.627443 | + | 0.778662i | \(0.715899\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −12.6709 | −0.411314 | ||||||||
\(950\) | 27.6280 | 0.896372 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 1.09849 | + | 1.90264i | 0.0356023 | + | 0.0616650i | ||||
\(953\) | 12.2913 | + | 21.2892i | 0.398155 | + | 0.689624i | 0.993498 | − | 0.113847i | \(-0.0363174\pi\) |
−0.595344 | + | 0.803471i | \(0.702984\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 5.07082 | + | 8.78292i | 0.164088 | + | 0.284208i | ||||
\(956\) | −0.249875 | − | 0.432796i | −0.00808153 | − | 0.0139976i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −6.24361 | −0.201722 | ||||||||
\(959\) | −0.277822 | + | 0.481202i | −0.00897134 | + | 0.0155388i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −28.7994 | −0.929013 | ||||||||
\(962\) | −4.86389 | − | 8.42450i | −0.156818 | − | 0.271617i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0.584192 | 0.0188156 | ||||||||
\(965\) | −2.24792 | + | 3.89352i | −0.0723632 | + | 0.125337i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 15.4270 | − | 26.7203i | 0.496099 | − | 0.859268i | −0.503891 | − | 0.863767i | \(-0.668099\pi\) |
0.999990 | + | 0.00449900i | \(0.00143208\pi\) | |||||||
\(968\) | 24.9233 | + | 43.1684i | 0.801066 | + | 1.38749i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −0.927414 | − | 1.60633i | −0.0297775 | − | 0.0515761i | ||||
\(971\) | 25.9432 | + | 44.9350i | 0.832558 | + | 1.44203i | 0.896003 | + | 0.444047i | \(0.146458\pi\) |
−0.0634454 | + | 0.997985i | \(0.520209\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −2.57632 | − | 4.46232i | −0.0825930 | − | 0.143055i | ||||
\(974\) | 30.6246 | − | 53.0434i | 0.981276 | − | 1.69962i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −1.58128 | − | 2.73886i | −0.0506155 | − | 0.0876687i | ||||
\(977\) | −8.72125 | + | 15.1057i | −0.279018 | + | 0.483273i | −0.971141 | − | 0.238507i | \(-0.923342\pi\) |
0.692123 | + | 0.721779i | \(0.256675\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −49.4969 | + | 85.7312i | −1.58193 | + | 2.73998i | ||||
\(980\) | −0.0713470 | + | 0.123577i | −0.00227909 | + | 0.00394751i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −11.8437 | − | 20.5138i | −0.377947 | − | 0.654623i | ||||
\(983\) | −14.4881 | + | 25.0941i | −0.462098 | + | 0.800377i | −0.999065 | − | 0.0432258i | \(-0.986237\pi\) |
0.536967 | + | 0.843603i | \(0.319570\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −4.13275 | + | 7.15813i | −0.131680 | + | 0.228077i | ||||
\(986\) | 2.80092 | + | 4.85134i | 0.0891995 | + | 0.154498i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.122030 | 0.00388228 | ||||||||
\(989\) | 19.5563 | + | 33.8725i | 0.621854 | + | 1.07708i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −20.7651 | −0.659626 | −0.329813 | − | 0.944046i | \(-0.606986\pi\) | ||||
−0.329813 | + | 0.944046i | \(0.606986\pi\) | |||||||
\(992\) | 0.111831 | − | 0.193697i | 0.00355064 | − | 0.00614988i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −2.36589 | + | 4.09784i | −0.0750414 | + | 0.129976i | ||||
\(995\) | 6.18971 | + | 10.7209i | 0.196227 | + | 0.339875i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 30.2384 | − | 52.3744i | 0.957660 | − | 1.65872i | 0.229499 | − | 0.973309i | \(-0.426291\pi\) |
0.728161 | − | 0.685406i | \(-0.240375\pi\) | |||||||
\(998\) | 0.273773 | − | 0.474188i | 0.00866613 | − | 0.0150102i | ||||
\(999\) | 0 | 0 |
(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 | 927.2.f.f.46.5 | ✓ | 32 | |
3.2 | odd | 2 | inner | 927.2.f.f.46.12 | yes | 32 | |
103.56 | even | 3 | inner | 927.2.f.f.262.5 | yes | 32 | |
309.56 | odd | 6 | inner | 927.2.f.f.262.12 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
927.2.f.f.46.5 | ✓ | 32 | 1.1 | even | 1 | trivial | |
927.2.f.f.46.12 | yes | 32 | 3.2 | odd | 2 | inner | |
927.2.f.f.262.5 | yes | 32 | 103.56 | even | 3 | inner | |
927.2.f.f.262.12 | yes | 32 | 309.56 | odd | 6 | inner |