Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [243,2,Mod(28,243)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(243, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("243.28");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 243 = 3^{5} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 243.e (of order \(9\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.94036476912\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | 12.0.1952986685049.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 6 x^{11} + 27 x^{10} - 80 x^{9} + 186 x^{8} - 330 x^{7} + 463 x^{6} - 504 x^{5} + 420 x^{4} + \cdots + 3 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 27) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 190.1 | ||
Root | \(0.500000 + 1.68614i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 243.190 |
Dual form | 243.2.e.d.55.1 |
$q$-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 \(\left(\mathbb{Z}/243\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.990741 | − | 0.360600i | −0.700560 | − | 0.254983i | −0.0329100 | − | 0.999458i | \(-0.510477\pi\) |
−0.667650 | + | 0.744475i | \(0.732700\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.680553 | − | 0.571052i | −0.340277 | − | 0.285526i | ||||
\(5\) | −0.303153 | + | 1.71926i | −0.135574 | + | 0.768879i | 0.838884 | + | 0.544310i | \(0.183208\pi\) |
−0.974458 | + | 0.224569i | \(0.927903\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.88389 | − | 1.58077i | 0.712044 | − | 0.597476i | −0.213128 | − | 0.977024i | \(-0.568365\pi\) |
0.925172 | + | 0.379548i | \(0.123921\pi\) | |||||||
\(8\) | 1.52266 | + | 2.63732i | 0.538340 | + | 0.932432i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.920313 | − | 1.59403i | 0.291029 | − | 0.504076i | ||||
\(11\) | −0.217792 | − | 1.23516i | −0.0656667 | − | 0.372414i | −0.999877 | − | 0.0156913i | \(-0.995005\pi\) |
0.934210 | − | 0.356723i | \(-0.116106\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 4.27469 | − | 1.55586i | 1.18559 | − | 0.431518i | 0.327414 | − | 0.944881i | \(-0.393823\pi\) |
0.858171 | + | 0.513363i | \(0.171601\pi\) | |||||||
\(14\) | −2.43648 | + | 0.886805i | −0.651176 | + | 0.237009i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.249003 | − | 1.41216i | −0.0622506 | − | 0.353041i | ||||
\(17\) | 3.32358 | − | 5.75662i | 0.806088 | − | 1.39618i | −0.109467 | − | 0.993990i | \(-0.534914\pi\) |
0.915554 | − | 0.402194i | \(-0.131752\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.124578 | − | 0.215776i | −0.0285802 | − | 0.0495023i | 0.851382 | − | 0.524547i | \(-0.175765\pi\) |
−0.879962 | + | 0.475045i | \(0.842432\pi\) | |||||||
\(20\) | 1.18810 | − | 0.996935i | 0.265667 | − | 0.222921i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.229623 | + | 1.30226i | −0.0489559 | + | 0.277642i | ||||
\(23\) | 0.645010 | + | 0.541228i | 0.134494 | + | 0.112854i | 0.707553 | − | 0.706660i | \(-0.249799\pi\) |
−0.573059 | + | 0.819514i | \(0.694243\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.83449 | + | 0.667701i | 0.366899 | + | 0.133540i | ||||
\(26\) | −4.79615 | −0.940603 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.18479 | −0.412887 | ||||||||
\(29\) | 0.481483 | + | 0.175245i | 0.0894091 | + | 0.0325422i | 0.386337 | − | 0.922358i | \(-0.373740\pi\) |
−0.296928 | + | 0.954900i | \(0.595962\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.628159 | − | 0.527088i | −0.112821 | − | 0.0946678i | 0.584632 | − | 0.811299i | \(-0.301239\pi\) |
−0.697453 | + | 0.716631i | \(0.745683\pi\) | |||||||
\(32\) | 0.795096 | − | 4.50921i | 0.140554 | − | 0.797124i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −5.36865 | + | 4.50483i | −0.920716 | + | 0.772572i | ||||
\(35\) | 2.14666 | + | 3.71812i | 0.362852 | + | 0.628478i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.30403 | + | 2.25865i | −0.214381 | + | 0.371319i | −0.953081 | − | 0.302715i | \(-0.902107\pi\) |
0.738700 | + | 0.674035i | \(0.235440\pi\) | |||||||
\(38\) | 0.0456159 | + | 0.258701i | 0.00739988 | + | 0.0419668i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −4.99584 | + | 1.81834i | −0.789912 | + | 0.287504i | ||||
\(41\) | 7.66114 | − | 2.78843i | 1.19647 | − | 0.435479i | 0.334478 | − | 0.942403i | \(-0.391440\pi\) |
0.861991 | + | 0.506924i | \(0.169218\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.751401 | + | 4.26141i | 0.114588 | + | 0.649858i | 0.986954 | + | 0.161005i | \(0.0514735\pi\) |
−0.872366 | + | 0.488853i | \(0.837415\pi\) | |||||||
\(44\) | −0.557121 | + | 0.964962i | −0.0839891 | + | 0.145473i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.443871 | − | 0.768808i | −0.0654452 | − | 0.113354i | ||||
\(47\) | −4.06182 | + | 3.40828i | −0.592478 | + | 0.497148i | −0.889018 | − | 0.457872i | \(-0.848612\pi\) |
0.296540 | + | 0.955020i | \(0.404167\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.165332 | + | 0.937642i | −0.0236188 | + | 0.133949i | ||||
\(50\) | −1.57674 | − | 1.32304i | −0.222984 | − | 0.187106i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −3.79763 | − | 1.38222i | −0.526637 | − | 0.191680i | ||||
\(53\) | −10.4841 | −1.44010 | −0.720052 | − | 0.693920i | \(-0.755882\pi\) | ||||
−0.720052 | + | 0.693920i | \(0.755882\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.18959 | 0.295244 | ||||||||
\(56\) | 7.03752 | + | 2.56145i | 0.940428 | + | 0.342288i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.413831 | − | 0.347246i | −0.0543387 | − | 0.0455956i | ||||
\(59\) | −0.522022 | + | 2.96053i | −0.0679614 | + | 0.385428i | 0.931787 | + | 0.363005i | \(0.118249\pi\) |
−0.999749 | + | 0.0224233i | \(0.992862\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.20864 | − | 1.85327i | 0.282787 | − | 0.237287i | −0.490350 | − | 0.871526i | \(-0.663131\pi\) |
0.773137 | + | 0.634239i | \(0.218687\pi\) | |||||||
\(62\) | 0.432275 | + | 0.748722i | 0.0548990 | + | 0.0950878i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −3.84771 | + | 6.66442i | −0.480963 | + | 0.833053i | ||||
\(65\) | 1.37905 | + | 7.82099i | 0.171050 | + | 0.970074i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −9.47799 | + | 3.44971i | −1.15792 | + | 0.421449i | −0.848354 | − | 0.529429i | \(-0.822406\pi\) |
−0.309566 | + | 0.950878i | \(0.600184\pi\) | |||||||
\(68\) | −5.54920 | + | 2.01975i | −0.672940 | + | 0.244930i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.786028 | − | 4.45779i | −0.0939483 | − | 0.532807i | ||||
\(71\) | −0.0447378 | + | 0.0774882i | −0.00530940 | + | 0.00919615i | −0.868668 | − | 0.495395i | \(-0.835023\pi\) |
0.863358 | + | 0.504591i | \(0.168357\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.66057 | + | 4.60824i | 0.311396 | + | 0.539354i | 0.978665 | − | 0.205463i | \(-0.0658701\pi\) |
−0.667269 | + | 0.744817i | \(0.732537\pi\) | |||||||
\(74\) | 2.10643 | − | 1.76750i | 0.244867 | − | 0.205468i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.0384370 | + | 0.217987i | −0.00440903 | + | 0.0250049i | ||||
\(77\) | −2.36280 | − | 1.98263i | −0.269266 | − | 0.225941i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −4.48884 | − | 1.63380i | −0.505034 | − | 0.183817i | 0.0769231 | − | 0.997037i | \(-0.475490\pi\) |
−0.581957 | + | 0.813220i | \(0.697713\pi\) | |||||||
\(80\) | 2.50337 | 0.279885 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −8.59571 | −0.949238 | ||||||||
\(83\) | −7.55575 | − | 2.75007i | −0.829351 | − | 0.301859i | −0.107759 | − | 0.994177i | \(-0.534367\pi\) |
−0.721593 | + | 0.692318i | \(0.756590\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 8.88960 | + | 7.45926i | 0.964212 | + | 0.809070i | ||||
\(86\) | 0.792220 | − | 4.49291i | 0.0854273 | − | 0.484482i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.92588 | − | 2.45511i | 0.311900 | − | 0.261715i | ||||
\(89\) | −3.35189 | − | 5.80564i | −0.355299 | − | 0.615396i | 0.631870 | − | 0.775074i | \(-0.282288\pi\) |
−0.987169 | + | 0.159678i | \(0.948954\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 5.59359 | − | 9.68839i | 0.586368 | − | 1.01562i | ||||
\(92\) | −0.129895 | − | 0.736669i | −0.0135424 | − | 0.0768030i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 5.25324 | − | 1.91202i | 0.541831 | − | 0.197210i | ||||
\(95\) | 0.408742 | − | 0.148770i | 0.0419360 | − | 0.0152635i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.953429 | + | 5.40716i | 0.0968060 | + | 0.549014i | 0.994179 | + | 0.107741i | \(0.0343618\pi\) |
−0.897373 | + | 0.441273i | \(0.854527\pi\) | |||||||
\(98\) | 0.501915 | − | 0.869342i | 0.0507010 | − | 0.0878168i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.867179 | − | 1.50200i | −0.0867179 | − | 0.150200i | ||||
\(101\) | 3.83441 | − | 3.21745i | 0.381538 | − | 0.320148i | −0.431768 | − | 0.901985i | \(-0.642110\pi\) |
0.813306 | + | 0.581836i | \(0.197666\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.01765 | − | 11.4426i | 0.198805 | − | 1.12748i | −0.708091 | − | 0.706121i | \(-0.750443\pi\) |
0.906896 | − | 0.421356i | \(-0.138446\pi\) | |||||||
\(104\) | 10.6122 | + | 8.90467i | 1.04061 | + | 0.873175i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 10.3870 | + | 3.78057i | 1.00888 | + | 0.367202i | ||||
\(107\) | 19.4581 | 1.88109 | 0.940544 | − | 0.339673i | \(-0.110316\pi\) | ||||
0.940544 | + | 0.339673i | \(0.110316\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 6.31515 | 0.604881 | 0.302441 | − | 0.953168i | \(-0.402199\pi\) | ||||
0.302441 | + | 0.953168i | \(0.402199\pi\) | |||||||
\(110\) | −2.16932 | − | 0.789566i | −0.206836 | − | 0.0752822i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.70140 | − | 2.26675i | −0.255259 | − | 0.214188i | ||||
\(113\) | −1.20090 | + | 6.81066i | −0.112971 | + | 0.640693i | 0.874763 | + | 0.484551i | \(0.161017\pi\) |
−0.987735 | + | 0.156142i | \(0.950094\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.12605 | + | 0.944868i | −0.105005 | + | 0.0881094i | ||||
\(116\) | −0.227600 | − | 0.394215i | −0.0211322 | − | 0.0366020i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 1.58476 | − | 2.74488i | 0.145889 | − | 0.252687i | ||||
\(119\) | −2.83863 | − | 16.0987i | −0.260217 | − | 1.47576i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 8.85844 | − | 3.22421i | 0.805312 | − | 0.293110i | ||||
\(122\) | −2.85648 | + | 1.03967i | −0.258613 | + | 0.0941276i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.126501 | + | 0.717423i | 0.0113601 | + | 0.0644265i | ||||
\(125\) | −6.06855 | + | 10.5110i | −0.542788 | + | 0.940136i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −6.01162 | − | 10.4124i | −0.533445 | − | 0.923954i | −0.999237 | − | 0.0390598i | \(-0.987564\pi\) |
0.465792 | − | 0.884894i | \(-0.345770\pi\) | |||||||
\(128\) | −0.799814 | + | 0.671124i | −0.0706943 | + | 0.0593195i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1.45397 | − | 8.24586i | 0.127521 | − | 0.723210i | ||||
\(131\) | −10.7896 | − | 9.05353i | −0.942690 | − | 0.791011i | 0.0353614 | − | 0.999375i | \(-0.488742\pi\) |
−0.978051 | + | 0.208364i | \(0.933186\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.575784 | − | 0.209568i | −0.0499268 | − | 0.0181719i | ||||
\(134\) | 10.6342 | 0.918655 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 20.2427 | 1.73580 | ||||||||
\(137\) | −2.12196 | − | 0.772329i | −0.181291 | − | 0.0659846i | 0.249780 | − | 0.968303i | \(-0.419642\pi\) |
−0.431071 | + | 0.902318i | \(0.641864\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −6.10928 | − | 5.12629i | −0.518182 | − | 0.434806i | 0.345815 | − | 0.938303i | \(-0.387602\pi\) |
−0.863997 | + | 0.503496i | \(0.832047\pi\) | |||||||
\(140\) | 0.662326 | − | 3.75624i | 0.0559768 | − | 0.317460i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.0722659 | − | 0.0606383i | 0.00606442 | − | 0.00508865i | ||||
\(143\) | −2.85273 | − | 4.94107i | −0.238557 | − | 0.413193i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.447256 | + | 0.774670i | −0.0371426 | + | 0.0643328i | ||||
\(146\) | −0.974203 | − | 5.52498i | −0.0806256 | − | 0.457250i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.17727 | − | 0.792461i | 0.178970 | − | 0.0651399i | ||||
\(149\) | 0.100489 | − | 0.0365751i | 0.00823240 | − | 0.00299635i | −0.337901 | − | 0.941182i | \(-0.609717\pi\) |
0.346133 | + | 0.938185i | \(0.387495\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.51801 | − | 19.9516i | −0.286292 | − | 1.62364i | −0.700635 | − | 0.713520i | \(-0.747100\pi\) |
0.414344 | − | 0.910121i | \(-0.364011\pi\) | |||||||
\(152\) | 0.379379 | − | 0.657104i | 0.0307717 | − | 0.0532982i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 1.62599 | + | 2.81630i | 0.131026 | + | 0.226944i | ||||
\(155\) | 1.09663 | − | 0.920184i | 0.0880836 | − | 0.0739109i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.60317 | + | 20.4346i | −0.287564 | + | 1.63086i | 0.408415 | + | 0.912797i | \(0.366082\pi\) |
−0.695979 | + | 0.718062i | \(0.745029\pi\) | |||||||
\(158\) | 3.85813 | + | 3.23735i | 0.306936 | + | 0.257550i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 7.51149 | + | 2.73396i | 0.593836 | + | 0.216139i | ||||
\(161\) | 2.07069 | 0.163193 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −20.1346 | −1.57706 | −0.788531 | − | 0.614995i | \(-0.789158\pi\) | ||||
−0.788531 | + | 0.614995i | \(0.789158\pi\) | |||||||
\(164\) | −6.80615 | − | 2.47724i | −0.531471 | − | 0.193440i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 6.49412 | + | 5.44921i | 0.504041 | + | 0.422941i | ||||
\(167\) | −3.44910 | + | 19.5608i | −0.266900 | + | 1.51366i | 0.496671 | + | 0.867939i | \(0.334556\pi\) |
−0.763570 | + | 0.645724i | \(0.776555\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.89369 | − | 4.94540i | 0.453361 | − | 0.380415i | ||||
\(170\) | −6.11748 | − | 10.5958i | −0.469189 | − | 0.812660i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 1.92212 | − | 3.32920i | 0.146560 | − | 0.253849i | ||||
\(173\) | 3.28631 | + | 18.6376i | 0.249854 | + | 1.41699i | 0.808945 | + | 0.587884i | \(0.200039\pi\) |
−0.559091 | + | 0.829106i | \(0.688850\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 4.51147 | − | 1.64204i | 0.341035 | − | 0.124127i | ||||
\(176\) | −1.69002 | + | 0.615115i | −0.127390 | + | 0.0463661i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 1.22734 | + | 6.96057i | 0.0919928 | + | 0.521717i | ||||
\(179\) | −5.45683 | + | 9.45151i | −0.407863 | + | 0.706439i | −0.994650 | − | 0.103302i | \(-0.967059\pi\) |
0.586787 | + | 0.809741i | \(0.300392\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 8.97393 | + | 15.5433i | 0.667027 | + | 1.15532i | 0.978731 | + | 0.205146i | \(0.0657668\pi\) |
−0.311704 | + | 0.950179i | \(0.600900\pi\) | |||||||
\(182\) | −9.03544 | + | 7.58163i | −0.669751 | + | 0.561988i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.445261 | + | 2.52520i | −0.0328251 | + | 0.186160i | ||||
\(185\) | −3.48789 | − | 2.92669i | −0.256435 | − | 0.215174i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −7.83419 | − | 2.85141i | −0.572892 | − | 0.208516i | ||||
\(188\) | 4.71059 | 0.343555 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.458604 | −0.0332706 | ||||||||
\(191\) | 25.3398 | + | 9.22293i | 1.83352 | + | 0.667348i | 0.991858 | + | 0.127350i | \(0.0406471\pi\) |
0.841666 | + | 0.539998i | \(0.181575\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −13.1413 | − | 11.0269i | −0.945935 | − | 0.793734i | 0.0326735 | − | 0.999466i | \(-0.489598\pi\) |
−0.978608 | + | 0.205733i | \(0.934042\pi\) | |||||||
\(194\) | 1.00522 | − | 5.70091i | 0.0721709 | − | 0.409301i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.647959 | − | 0.543702i | 0.0462828 | − | 0.0388359i | ||||
\(197\) | −1.25612 | − | 2.17567i | −0.0894951 | − | 0.155010i | 0.817803 | − | 0.575499i | \(-0.195192\pi\) |
−0.907298 | + | 0.420489i | \(0.861859\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −9.26942 | + | 16.0551i | −0.657092 | + | 1.13812i | 0.324273 | + | 0.945964i | \(0.394880\pi\) |
−0.981365 | + | 0.192153i | \(0.938453\pi\) | |||||||
\(200\) | 1.03236 | + | 5.85482i | 0.0729991 | + | 0.413998i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −4.95912 | + | 1.80497i | −0.348922 | + | 0.126997i | ||||
\(203\) | 1.18408 | − | 0.430971i | 0.0831064 | − | 0.0302483i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.47155 | + | 14.0168i | 0.172620 | + | 0.978979i | ||||
\(206\) | −6.12519 | + | 10.6091i | −0.426762 | + | 0.739173i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −3.26154 | − | 5.64915i | −0.226147 | − | 0.391698i | ||||
\(209\) | −0.239385 | + | 0.200868i | −0.0165586 | + | 0.0138943i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.640967 | + | 3.63510i | −0.0441260 | + | 0.250251i | −0.998889 | − | 0.0471155i | \(-0.984997\pi\) |
0.954763 | + | 0.297366i | \(0.0961082\pi\) | |||||||
\(212\) | 7.13500 | + | 5.98697i | 0.490034 | + | 0.411187i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −19.2780 | − | 7.01660i | −1.31781 | − | 0.479645i | ||||
\(215\) | −7.55427 | −0.515197 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.01659 | −0.136895 | ||||||||
\(218\) | −6.25668 | − | 2.27724i | −0.423756 | − | 0.154234i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −1.49013 | − | 1.25037i | −0.100465 | − | 0.0842999i | ||||
\(221\) | 5.25080 | − | 29.7788i | 0.353207 | − | 2.00314i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −16.2716 | + | 13.6535i | −1.08963 | + | 0.914305i | −0.996684 | − | 0.0813669i | \(-0.974071\pi\) |
−0.0929417 | + | 0.995672i | \(0.529627\pi\) | |||||||
\(224\) | −5.63017 | − | 9.75174i | −0.376181 | − | 0.651565i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 3.64571 | − | 6.31456i | 0.242509 | − | 0.420038i | ||||
\(227\) | −2.49012 | − | 14.1222i | −0.165275 | − | 0.937323i | −0.948780 | − | 0.315937i | \(-0.897681\pi\) |
0.783505 | − | 0.621386i | \(-0.213430\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −15.8675 | + | 5.77529i | −1.04855 | + | 0.381642i | −0.808116 | − | 0.589023i | \(-0.799513\pi\) |
−0.240436 | + | 0.970665i | \(0.577290\pi\) | |||||||
\(230\) | 1.45634 | − | 0.530066i | 0.0960285 | − | 0.0349515i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.270955 | + | 1.53666i | 0.0177890 | + | 0.100887i | ||||
\(233\) | −2.79972 | + | 4.84926i | −0.183416 | + | 0.317686i | −0.943042 | − | 0.332675i | \(-0.892049\pi\) |
0.759626 | + | 0.650361i | \(0.225382\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −4.62837 | − | 8.01658i | −0.301922 | − | 0.522944i | ||||
\(236\) | 2.04588 | − | 1.71670i | 0.133176 | − | 0.111748i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −2.99284 | + | 16.9732i | −0.193997 | + | 1.10021i | ||||
\(239\) | −4.04033 | − | 3.39024i | −0.261347 | − | 0.219296i | 0.502693 | − | 0.864465i | \(-0.332343\pi\) |
−0.764040 | + | 0.645169i | \(0.776787\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 8.36559 | + | 3.04483i | 0.538875 | + | 0.196135i | 0.597097 | − | 0.802169i | \(-0.296321\pi\) |
−0.0582216 | + | 0.998304i | \(0.518543\pi\) | |||||||
\(242\) | −9.93907 | −0.638907 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −2.56141 | −0.163977 | ||||||||
\(245\) | −1.56193 | − | 0.568497i | −0.0997883 | − | 0.0363200i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.868249 | − | 0.728548i | −0.0552454 | − | 0.0463564i | ||||
\(248\) | 0.433628 | − | 2.45923i | 0.0275354 | − | 0.156161i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 9.80265 | − | 8.22540i | 0.619974 | − | 0.520220i | ||||
\(251\) | 3.89010 | + | 6.73786i | 0.245541 | + | 0.425290i | 0.962284 | − | 0.272048i | \(-0.0877010\pi\) |
−0.716742 | + | 0.697338i | \(0.754368\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.528024 | − | 0.914565i | 0.0331966 | − | 0.0574982i | ||||
\(254\) | 2.20123 | + | 12.4838i | 0.138118 | + | 0.783305i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 15.4971 | − | 5.64047i | 0.968566 | − | 0.352529i | ||||
\(257\) | 19.2041 | − | 6.98971i | 1.19792 | − | 0.436006i | 0.335420 | − | 0.942069i | \(-0.391122\pi\) |
0.862497 | + | 0.506062i | \(0.168899\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.11376 | + | 6.31643i | 0.0692054 | + | 0.392484i | ||||
\(260\) | 3.52767 | − | 6.11011i | 0.218777 | − | 0.378933i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 7.42498 | + | 12.8604i | 0.458717 | + | 0.794520i | ||||
\(263\) | 8.64084 | − | 7.25052i | 0.532817 | − | 0.447086i | −0.336256 | − | 0.941771i | \(-0.609161\pi\) |
0.869073 | + | 0.494684i | \(0.164716\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 3.17829 | − | 18.0250i | 0.195241 | − | 1.10726i | ||||
\(266\) | 0.494883 | + | 0.415256i | 0.0303432 | + | 0.0254610i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 8.42024 | + | 3.06472i | 0.514348 | + | 0.187207i | ||||
\(269\) | −0.307761 | −0.0187645 | −0.00938226 | − | 0.999956i | \(-0.502987\pi\) | ||||
−0.00938226 | + | 0.999956i | \(0.502987\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.22251 | −0.135008 | −0.0675040 | − | 0.997719i | \(-0.521504\pi\) | ||||
−0.0675040 | + | 0.997719i | \(0.521504\pi\) | |||||||
\(272\) | −8.95687 | − | 3.26003i | −0.543090 | − | 0.197669i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1.82381 | + | 1.53036i | 0.110180 | + | 0.0924523i | ||||
\(275\) | 0.425179 | − | 2.41131i | 0.0256393 | − | 0.145408i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −17.8716 | + | 14.9961i | −1.07380 | + | 0.901026i | −0.995391 | − | 0.0958953i | \(-0.969429\pi\) |
−0.0784094 | + | 0.996921i | \(0.524984\pi\) | |||||||
\(278\) | 4.20417 | + | 7.28184i | 0.252149 | + | 0.436735i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −6.53725 | + | 11.3228i | −0.390675 | + | 0.676670i | ||||
\(281\) | 1.25469 | + | 7.11568i | 0.0748484 | + | 0.424486i | 0.999089 | + | 0.0426756i | \(0.0135882\pi\) |
−0.924241 | + | 0.381811i | \(0.875301\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −6.69088 | + | 2.43528i | −0.397732 | + | 0.144763i | −0.533139 | − | 0.846027i | \(-0.678988\pi\) |
0.135408 | + | 0.990790i | \(0.456766\pi\) | |||||||
\(284\) | 0.0746962 | − | 0.0271872i | 0.00443241 | − | 0.00161326i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.04456 | + | 5.92401i | 0.0617663 | + | 0.350294i | ||||
\(287\) | 10.0249 | − | 17.3636i | 0.591751 | − | 1.02494i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −13.5924 | − | 23.5428i | −0.799555 | − | 1.38487i | ||||
\(290\) | 0.722461 | − | 0.606217i | 0.0424244 | − | 0.0355983i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0.820886 | − | 4.65548i | 0.0480387 | − | 0.272441i | ||||
\(293\) | 0.423228 | + | 0.355131i | 0.0247253 | + | 0.0207469i | 0.655067 | − | 0.755571i | \(-0.272641\pi\) |
−0.630341 | + | 0.776318i | \(0.717085\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −4.93169 | − | 1.79499i | −0.287134 | − | 0.104508i | ||||
\(296\) | −7.94236 | −0.461640 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −0.112748 | −0.00653131 | ||||||||
\(299\) | 3.59929 | + | 1.31004i | 0.208152 | + | 0.0757613i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 8.15187 | + | 6.84023i | 0.469866 | + | 0.394265i | ||||
\(302\) | −3.70913 | + | 21.0355i | −0.213436 | + | 1.21046i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.273690 | + | 0.229653i | −0.0156972 | + | 0.0131715i | ||||
\(305\) | 2.51670 | + | 4.35906i | 0.144106 | + | 0.249599i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −3.36438 | + | 5.82728i | −0.192015 | + | 0.332580i | −0.945918 | − | 0.324406i | \(-0.894836\pi\) |
0.753903 | + | 0.656986i | \(0.228169\pi\) | |||||||
\(308\) | 0.475830 | + | 2.69857i | 0.0271129 | + | 0.153765i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −1.41830 | + | 0.516218i | −0.0805539 | + | 0.0293192i | ||||
\(311\) | −14.4933 | + | 5.27513i | −0.821840 | + | 0.299125i | −0.718505 | − | 0.695521i | \(-0.755173\pi\) |
−0.103335 | + | 0.994647i | \(0.532951\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −4.09130 | − | 23.2029i | −0.231254 | − | 1.31151i | −0.850361 | − | 0.526200i | \(-0.823616\pi\) |
0.619107 | − | 0.785307i | \(-0.287495\pi\) | |||||||
\(314\) | 10.9385 | − | 18.9461i | 0.617297 | − | 1.06919i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.12191 | + | 3.67525i | 0.119367 | + | 0.206749i | ||||
\(317\) | 5.55539 | − | 4.66152i | 0.312022 | − | 0.261817i | −0.473305 | − | 0.880898i | \(-0.656939\pi\) |
0.785327 | + | 0.619081i | \(0.212495\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.111593 | − | 0.632874i | 0.00624800 | − | 0.0354342i | ||||
\(320\) | −10.2915 | − | 8.63556i | −0.575310 | − | 0.482743i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −2.05152 | − | 0.746691i | −0.114327 | − | 0.0416115i | ||||
\(323\) | −1.65618 | −0.0921525 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 8.88074 | 0.492615 | ||||||||
\(326\) | 19.9482 | + | 7.26054i | 1.10483 | + | 0.402124i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 19.0192 | + | 15.9590i | 1.05016 | + | 0.881190i | ||||
\(329\) | −2.26433 | + | 12.8416i | −0.124836 | + | 0.707983i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 22.2417 | − | 18.6630i | 1.22251 | − | 1.02581i | 0.223825 | − | 0.974629i | \(-0.428146\pi\) |
0.998689 | − | 0.0511815i | \(-0.0162987\pi\) | |||||||
\(332\) | 3.57166 | + | 6.18629i | 0.196020 | + | 0.339517i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 10.4708 | − | 18.1360i | 0.572938 | − | 0.992357i | ||||
\(335\) | −3.05768 | − | 17.3410i | −0.167059 | − | 0.947438i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.08919 | − | 0.396434i | 0.0593321 | − | 0.0215951i | −0.312184 | − | 0.950022i | \(-0.601060\pi\) |
0.371516 | + | 0.928427i | \(0.378838\pi\) | |||||||
\(338\) | −7.62244 | + | 2.77434i | −0.414606 | + | 0.150904i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −1.79022 | − | 10.1528i | −0.0970883 | − | 0.550615i | ||||
\(341\) | −0.514230 | + | 0.890672i | −0.0278471 | + | 0.0482326i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 9.77810 | + | 16.9362i | 0.527968 | + | 0.914467i | ||||
\(344\) | −10.0946 | + | 8.47033i | −0.544262 | + | 0.456690i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 3.46484 | − | 19.6501i | 0.186271 | − | 1.05640i | ||||
\(347\) | 4.51178 | + | 3.78583i | 0.242205 | + | 0.203234i | 0.755807 | − | 0.654794i | \(-0.227245\pi\) |
−0.513602 | + | 0.858029i | \(0.671689\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 28.7477 | + | 10.4633i | 1.53883 | + | 0.560089i | 0.965764 | − | 0.259421i | \(-0.0835316\pi\) |
0.573066 | + | 0.819509i | \(0.305754\pi\) | |||||||
\(350\) | −5.06182 | −0.270566 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −5.74276 | −0.306090 | ||||||||
\(353\) | −34.7322 | − | 12.6415i | −1.84861 | − | 0.672839i | −0.985947 | − | 0.167061i | \(-0.946572\pi\) |
−0.862664 | − | 0.505778i | \(-0.831206\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.119660 | − | 0.100407i | −0.00635091 | − | 0.00532904i | ||||
\(356\) | −1.03418 | + | 5.86514i | −0.0548116 | + | 0.310852i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 8.81452 | − | 7.39626i | 0.465862 | − | 0.390905i | ||||
\(359\) | 13.1880 | + | 22.8423i | 0.696037 | + | 1.20557i | 0.969830 | + | 0.243783i | \(0.0783886\pi\) |
−0.273792 | + | 0.961789i | \(0.588278\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.46896 | − | 16.4007i | 0.498366 | − | 0.863196i | ||||
\(362\) | −3.28592 | − | 18.6354i | −0.172704 | − | 0.979455i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −9.33931 | + | 3.39923i | −0.489513 | + | 0.178168i | ||||
\(365\) | −8.72935 | + | 3.17722i | −0.456915 | + | 0.166303i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −1.96450 | − | 11.1413i | −0.102546 | − | 0.581569i | −0.992172 | − | 0.124879i | \(-0.960146\pi\) |
0.889626 | − | 0.456690i | \(-0.150965\pi\) | |||||||
\(368\) | 0.603693 | − | 1.04563i | 0.0314697 | − | 0.0545071i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 2.40023 | + | 4.15733i | 0.124782 | + | 0.216129i | ||||
\(371\) | −19.7509 | + | 16.5730i | −1.02542 | + | 0.860428i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 1.01481 | − | 5.75529i | 0.0525451 | − | 0.297998i | −0.947198 | − | 0.320648i | \(-0.896099\pi\) |
0.999743 | + | 0.0226503i | \(0.00721043\pi\) | |||||||
\(374\) | 6.73343 | + | 5.65002i | 0.348177 | + | 0.292156i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −15.1735 | − | 5.52269i | −0.782511 | − | 0.284811i | ||||
\(377\) | 2.33085 | 0.120045 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 24.3265 | 1.24957 | 0.624783 | − | 0.780798i | \(-0.285187\pi\) | ||||
0.624783 | + | 0.780798i | \(0.285187\pi\) | |||||||
\(380\) | −0.363126 | − | 0.132167i | −0.0186280 | − | 0.00678002i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −21.7794 | − | 18.2751i | −1.11433 | − | 0.935035i | ||||
\(383\) | −0.662650 | + | 3.75808i | −0.0338598 | + | 0.192029i | −0.997046 | − | 0.0768065i | \(-0.975528\pi\) |
0.963186 | + | 0.268835i | \(0.0866387\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 4.12495 | − | 3.46124i | 0.210227 | − | 0.176401i | ||||
\(386\) | 9.04337 | + | 15.6636i | 0.460295 | + | 0.797255i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 2.43891 | − | 4.22432i | 0.123817 | − | 0.214457i | ||||
\(389\) | 1.88267 | + | 10.6771i | 0.0954550 | + | 0.541352i | 0.994607 | + | 0.103716i | \(0.0330732\pi\) |
−0.899152 | + | 0.437637i | \(0.855816\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 5.25939 | − | 1.91426i | 0.265979 | − | 0.0968083i | ||||
\(392\) | −2.72460 | + | 0.991674i | −0.137613 | + | 0.0500871i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0.459946 | + | 2.60848i | 0.0231718 | + | 0.131414i | ||||
\(395\) | 4.16974 | − | 7.22221i | 0.209802 | − | 0.363389i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.25461 | + | 9.10124i | 0.263721 | + | 0.456778i | 0.967228 | − | 0.253910i | \(-0.0817168\pi\) |
−0.703507 | + | 0.710689i | \(0.748383\pi\) | |||||||
\(398\) | 14.9731 | − | 12.5639i | 0.750533 | − | 0.629772i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.486110 | − | 2.75687i | 0.0243055 | − | 0.137843i | ||||
\(401\) | 11.0047 | + | 9.23401i | 0.549547 | + | 0.461125i | 0.874788 | − | 0.484507i | \(-0.161001\pi\) |
−0.325241 | + | 0.945631i | \(0.605445\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3.50526 | − | 1.27581i | −0.174609 | − | 0.0635527i | ||||
\(404\) | −4.44685 | −0.221239 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −1.32853 | −0.0659338 | ||||||||
\(407\) | 3.07380 | + | 1.11877i | 0.152362 | + | 0.0554554i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 13.5454 | + | 11.3659i | 0.669777 | + | 0.562009i | 0.912999 | − | 0.407961i | \(-0.133760\pi\) |
−0.243223 | + | 0.969971i | \(0.578205\pi\) | |||||||
\(410\) | 2.60581 | − | 14.7783i | 0.128692 | − | 0.729849i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −7.90746 | + | 6.63514i | −0.389572 | + | 0.326890i | ||||
\(413\) | 3.69650 | + | 6.40252i | 0.181893 | + | 0.315047i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 7.01864 | − | 12.1566i | 0.344532 | − | 0.596746i | ||||
\(416\) | −3.61691 | − | 20.5125i | −0.177334 | − | 1.00571i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.309602 | − | 0.112686i | 0.0151431 | − | 0.00551164i | ||||
\(419\) | −8.58293 | + | 3.12393i | −0.419304 | + | 0.152614i | −0.543051 | − | 0.839700i | \(-0.682731\pi\) |
0.123747 | + | 0.992314i | \(0.460509\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 4.20140 | + | 23.8273i | 0.204764 | + | 1.16127i | 0.897811 | + | 0.440381i | \(0.145157\pi\) |
−0.693047 | + | 0.720892i | \(0.743732\pi\) | |||||||
\(422\) | 1.94585 | − | 3.37031i | 0.0947226 | − | 0.164064i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −15.9637 | − | 27.6499i | −0.775265 | − | 1.34280i | ||||
\(425\) | 9.94080 | − | 8.34132i | 0.482199 | − | 0.404613i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.23124 | − | 6.98271i | 0.0595839 | − | 0.337917i | ||||
\(428\) | −13.2423 | − | 11.1116i | −0.640090 | − | 0.537099i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 7.48433 | + | 2.72407i | 0.360926 | + | 0.131366i | ||||
\(431\) | −29.5332 | −1.42256 | −0.711282 | − | 0.702907i | \(-0.751885\pi\) | ||||
−0.711282 | + | 0.702907i | \(0.751885\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 0.669754 | 0.0321863 | 0.0160932 | − | 0.999870i | \(-0.494877\pi\) | ||||
0.0160932 | + | 0.999870i | \(0.494877\pi\) | |||||||
\(434\) | 1.99792 | + | 0.727183i | 0.0959032 | + | 0.0349059i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −4.29779 | − | 3.60628i | −0.205827 | − | 0.172709i | ||||
\(437\) | 0.0364296 | − | 0.206603i | 0.00174266 | − | 0.00988314i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −4.86352 | + | 4.08097i | −0.232123 | + | 0.194774i | −0.751429 | − | 0.659814i | \(-0.770635\pi\) |
0.519306 | + | 0.854588i | \(0.326191\pi\) | |||||||
\(440\) | 3.33399 | + | 5.77464i | 0.158942 | + | 0.275295i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −15.9404 | + | 27.6096i | −0.758209 | + | 1.31326i | ||||
\(443\) | 2.66618 | + | 15.1207i | 0.126674 | + | 0.718404i | 0.980299 | + | 0.197517i | \(0.0632878\pi\) |
−0.853625 | + | 0.520887i | \(0.825601\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 10.9976 | − | 4.00278i | 0.521334 | − | 0.189750i | ||||
\(446\) | 21.0444 | − | 7.65953i | 0.996480 | − | 0.362689i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 3.28628 | + | 18.6374i | 0.155262 | + | 0.880535i | ||||
\(449\) | 16.0199 | − | 27.7473i | 0.756027 | − | 1.30948i | −0.188836 | − | 0.982009i | \(-0.560471\pi\) |
0.944862 | − | 0.327468i | \(-0.106195\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −5.11268 | − | 8.85543i | −0.240747 | − | 0.416986i | ||||
\(452\) | 4.70652 | − | 3.94924i | 0.221376 | − | 0.185757i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −2.62540 | + | 14.8894i | −0.123216 | + | 0.698793i | ||||
\(455\) | 14.9612 | + | 12.5539i | 0.701391 | + | 0.588537i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −18.0121 | − | 6.55586i | −0.842569 | − | 0.306670i | −0.115562 | − | 0.993300i | \(-0.536867\pi\) |
−0.727007 | + | 0.686630i | \(0.759089\pi\) | |||||||
\(458\) | 17.8031 | 0.831886 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 1.30591 | 0.0608882 | ||||||||
\(461\) | 4.90547 | + | 1.78545i | 0.228471 | + | 0.0831565i | 0.453719 | − | 0.891145i | \(-0.350097\pi\) |
−0.225248 | + | 0.974301i | \(0.572319\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 1.30028 | + | 1.09106i | 0.0604289 | + | 0.0507059i | 0.672502 | − | 0.740095i | \(-0.265220\pi\) |
−0.612073 | + | 0.790801i | \(0.709664\pi\) | |||||||
\(464\) | 0.127585 | − | 0.723569i | 0.00592297 | − | 0.0335908i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 4.52245 | − | 3.79478i | 0.209498 | − | 0.175790i | ||||
\(467\) | −9.84136 | − | 17.0457i | −0.455404 | − | 0.788783i | 0.543307 | − | 0.839534i | \(-0.317172\pi\) |
−0.998711 | + | 0.0507511i | \(0.983838\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −12.4023 | + | 21.4814i | −0.572685 | + | 0.991920i | ||||
\(470\) | 1.69474 | + | 9.61135i | 0.0781725 | + | 0.443338i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −8.60272 | + | 3.13113i | −0.395972 | + | 0.144122i | ||||
\(473\) | 5.09986 | − | 1.85620i | 0.234492 | − | 0.0853481i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.0844641 | − | 0.479020i | −0.00387548 | − | 0.0219789i | ||||
\(476\) | −7.26134 | + | 12.5770i | −0.332823 | + | 0.576467i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 2.78040 | + | 4.81579i | 0.127173 | + | 0.220269i | ||||
\(479\) | −22.4094 | + | 18.8037i | −1.02391 | + | 0.859165i | −0.990114 | − | 0.140264i | \(-0.955205\pi\) |
−0.0337985 | + | 0.999429i | \(0.510760\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −2.06019 | + | 11.6839i | −0.0939365 | + | 0.532740i | ||||
\(482\) | −7.19017 | − | 6.03327i | −0.327503 | − | 0.274808i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −7.86983 | − | 2.86438i | −0.357719 | − | 0.130199i | ||||
\(485\) | −9.58538 | −0.435250 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −20.5056 | −0.929199 | −0.464600 | − | 0.885521i | \(-0.653802\pi\) | ||||
−0.464600 | + | 0.885521i | \(0.653802\pi\) | |||||||
\(488\) | 8.25065 | + | 3.00299i | 0.373489 | + | 0.135939i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 1.34247 | + | 1.12647i | 0.0606467 | + | 0.0508886i | ||||
\(491\) | 3.04353 | − | 17.2607i | 0.137353 | − | 0.778965i | −0.835840 | − | 0.548973i | \(-0.815019\pi\) |
0.973193 | − | 0.229992i | \(-0.0738700\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.60907 | − | 2.18927i | 0.117507 | − | 0.0985997i | ||||
\(494\) | 0.597496 | + | 1.03489i | 0.0268826 | + | 0.0465620i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −0.587922 | + | 1.01831i | −0.0263985 | + | 0.0457235i | ||||
\(497\) | 0.0382100 | + | 0.216700i | 0.00171395 | + | 0.00972031i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 17.9538 | − | 6.53463i | 0.803720 | − | 0.292530i | 0.0926931 | − | 0.995695i | \(-0.470452\pi\) |
0.711027 | + | 0.703164i | \(0.248230\pi\) | |||||||
\(500\) | 10.1323 | − | 3.68787i | 0.453131 | − | 0.164926i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −1.42441 | − | 8.07825i | −0.0635747 | − | 0.360550i | ||||
\(503\) | 5.48381 | − | 9.49824i | 0.244511 | − | 0.423506i | −0.717483 | − | 0.696576i | \(-0.754706\pi\) |
0.961994 | + | 0.273070i | \(0.0880392\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 4.36924 | + | 7.56774i | 0.194429 | + | 0.336760i | ||||
\(506\) | −0.852928 | + | 0.715691i | −0.0379173 | + | 0.0318164i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −1.85481 | + | 10.5192i | −0.0822940 | + | 0.466712i | ||||
\(509\) | −15.2438 | − | 12.7911i | −0.675669 | − | 0.566954i | 0.239068 | − | 0.971003i | \(-0.423158\pi\) |
−0.914737 | + | 0.404049i | \(0.867603\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 12.2968 | + | 4.47567i | 0.543979 | + | 0.197992i | ||||
\(512\) | −15.2994 | −0.676143 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −21.5468 | −0.950387 | ||||||||
\(515\) | 19.0613 | + | 6.93774i | 0.839940 | + | 0.305713i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 5.09439 | + | 4.27470i | 0.224051 | + | 0.188001i | ||||
\(518\) | 1.17426 | − | 6.65956i | 0.0515941 | − | 0.292604i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −18.5266 | + | 15.5457i | −0.812445 | + | 0.681722i | ||||
\(521\) | −17.5583 | − | 30.4119i | −0.769244 | − | 1.33237i | −0.937973 | − | 0.346708i | \(-0.887300\pi\) |
0.168729 | − | 0.985662i | \(-0.446034\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 7.12269 | − | 12.3369i | 0.311453 | − | 0.539453i | −0.667224 | − | 0.744857i | \(-0.732518\pi\) |
0.978677 | + | 0.205404i | \(0.0658509\pi\) | |||||||
\(524\) | 2.17285 | + | 12.3228i | 0.0949212 | + | 0.538325i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −11.1754 | + | 4.06750i | −0.487269 | + | 0.177352i | ||||
\(527\) | −5.12199 | + | 1.86425i | −0.223117 | + | 0.0812080i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −3.87080 | − | 21.9524i | −0.168296 | − | 0.954451i | ||||
\(530\) | −9.64867 | + | 16.7120i | −0.419111 | + | 0.725922i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.272177 | + | 0.471425i | 0.0118004 | + | 0.0204389i | ||||
\(533\) | 28.4106 | − | 23.8393i | 1.23060 | − | 1.03260i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −5.89878 | + | 33.4537i | −0.255027 | + | 1.44633i | ||||
\(536\) | −23.5297 | − | 19.7437i | −1.01633 | − | 0.852800i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0.304911 | + | 0.110979i | 0.0131457 | + | 0.00478463i | ||||
\(539\) | 1.19414 | 0.0514354 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −13.2368 | −0.569094 | −0.284547 | − | 0.958662i | \(-0.591843\pi\) | ||||
−0.284547 | + | 0.958662i | \(0.591843\pi\) | |||||||
\(542\) | 2.20194 | + | 0.801439i | 0.0945813 | + | 0.0344248i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −23.3152 | − | 19.5638i | −0.999633 | − | 0.838792i | ||||
\(545\) | −1.91445 | + | 10.8574i | −0.0820062 | + | 0.465080i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −12.4903 | + | 10.4806i | −0.534046 | + | 0.448118i | −0.869496 | − | 0.493940i | \(-0.835556\pi\) |
0.335450 | + | 0.942058i | \(0.391112\pi\) | |||||||
\(548\) | 1.00306 | + | 1.73736i | 0.0428488 | + | 0.0742163i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −1.29076 | + | 2.23567i | −0.0550383 | + | 0.0953291i | ||||
\(551\) | −0.0221685 | − | 0.125724i | −0.000944411 | − | 0.00535602i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −11.0392 | + | 4.01792i | −0.469433 | + | 0.170859i | ||||
\(554\) | 23.1137 | − | 8.41271i | 0.982008 | − | 0.357422i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1.23031 | + | 6.97743i | 0.0521767 | + | 0.295909i | ||||
\(557\) | −15.4486 | + | 26.7577i | −0.654577 | + | 1.13376i | 0.327422 | + | 0.944878i | \(0.393820\pi\) |
−0.982000 | + | 0.188883i | \(0.939513\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 9.84215 | + | 17.0471i | 0.416279 | + | 0.721016i | ||||
\(560\) | 4.71608 | − | 3.95726i | 0.199291 | − | 0.167225i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 1.32285 | − | 7.50224i | 0.0558010 | − | 0.316463i | ||||
\(563\) | 20.5116 | + | 17.2112i | 0.864459 | + | 0.725368i | 0.962924 | − | 0.269773i | \(-0.0869486\pi\) |
−0.0984645 | + | 0.995141i | \(0.531393\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −11.3453 | − | 4.12934i | −0.477299 | − | 0.173723i | ||||
\(566\) | 7.50710 | 0.315547 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −0.272481 | −0.0114331 | ||||||||
\(569\) | −17.9111 | − | 6.51912i | −0.750874 | − | 0.273296i | −0.0619006 | − | 0.998082i | \(-0.519716\pi\) |
−0.688974 | + | 0.724786i | \(0.741938\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −14.3819 | − | 12.0678i | −0.601863 | − | 0.505023i | 0.290181 | − | 0.956972i | \(-0.406284\pi\) |
−0.892044 | + | 0.451949i | \(0.850729\pi\) | |||||||
\(572\) | −0.880174 | + | 4.99171i | −0.0368019 | + | 0.208714i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −16.1934 | + | 13.5879i | −0.675899 | + | 0.567147i | ||||
\(575\) | 0.821889 | + | 1.42355i | 0.0342751 | + | 0.0593663i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 2.42981 | − | 4.20856i | 0.101154 | − | 0.175204i | −0.811006 | − | 0.585038i | \(-0.801080\pi\) |
0.912161 | + | 0.409833i | \(0.134413\pi\) | |||||||
\(578\) | 4.97705 | + | 28.2262i | 0.207018 | + | 1.17406i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.746758 | − | 0.271798i | 0.0310074 | − | 0.0112858i | ||||
\(581\) | −18.5815 | + | 6.76310i | −0.770889 | + | 0.280580i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 2.28335 | + | 12.9495i | 0.0945669 | + | 0.536315i | ||||
\(584\) | −8.10226 | + | 14.0335i | −0.335274 | + | 0.580712i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −0.291249 | − | 0.504459i | −0.0120314 | − | 0.0208390i | ||||
\(587\) | −25.1242 | + | 21.0817i | −1.03699 | + | 0.870136i | −0.991666 | − | 0.128837i | \(-0.958876\pi\) |
−0.0453217 | + | 0.998972i | \(0.514431\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.0354779 | + | 0.201205i | −0.00146184 | + | 0.00829051i | ||||
\(590\) | 4.23875 | + | 3.55674i | 0.174507 | + | 0.146428i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 3.51429 | + | 1.27910i | 0.144436 | + | 0.0525705i | ||||
\(593\) | 17.3446 | 0.712258 | 0.356129 | − | 0.934437i | \(-0.384096\pi\) | ||||
0.356129 | + | 0.934437i | \(0.384096\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 28.5384 | 1.16996 | ||||||||
\(596\) | −0.0892745 | − | 0.0324933i | −0.00365683 | − | 0.00133098i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −3.09357 | − | 2.59581i | −0.126505 | − | 0.106151i | ||||
\(599\) | 4.23839 | − | 24.0371i | 0.173176 | − | 0.982129i | −0.767052 | − | 0.641584i | \(-0.778277\pi\) |
0.940228 | − | 0.340545i | \(-0.110612\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 6.02897 | − | 5.05891i | 0.245927 | − | 0.206357i | −0.511489 | − | 0.859290i | \(-0.670906\pi\) |
0.757416 | + | 0.652933i | \(0.226461\pi\) | |||||||
\(602\) | −5.60981 | − | 9.71647i | −0.228639 | − | 0.396014i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −8.99922 | + | 15.5871i | −0.366173 | + | 0.634230i | ||||
\(605\) | 2.85781 | + | 16.2074i | 0.116186 | + | 0.658925i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 9.62007 | − | 3.50142i | 0.390467 | − | 0.142118i | −0.139324 | − | 0.990247i | \(-0.544493\pi\) |
0.529790 | + | 0.848129i | \(0.322271\pi\) | |||||||
\(608\) | −1.07203 | + | 0.390187i | −0.0434765 | + | 0.0158242i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.921524 | − | 5.22622i | −0.0373114 | − | 0.211604i | ||||
\(611\) | −12.0602 | + | 20.8889i | −0.487905 | + | 0.845076i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −1.11753 | − | 1.93563i | −0.0451368 | − | 0.0781792i | 0.842574 | − | 0.538580i | \(-0.181039\pi\) |
−0.887711 | + | 0.460401i | \(0.847706\pi\) | |||||||
\(614\) | 5.43455 | − | 4.56013i | 0.219321 | − | 0.184032i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1.63108 | − | 9.25031i | 0.0657181 | − | 0.372706i | ||||
\(617\) | 26.0269 | + | 21.8391i | 1.04780 | + | 0.879211i | 0.992861 | − | 0.119279i | \(-0.0380582\pi\) |
0.0549420 | + | 0.998490i | \(0.482503\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 27.1157 | + | 9.86932i | 1.08987 | + | 0.396682i | 0.823574 | − | 0.567209i | \(-0.191977\pi\) |
0.266300 | + | 0.963890i | \(0.414199\pi\) | |||||||
\(620\) | −1.27179 | −0.0510763 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 16.2613 | 0.652020 | ||||||||
\(623\) | −15.4920 | − | 5.63862i | −0.620673 | − | 0.225907i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −8.75410 | − | 7.34556i | −0.350164 | − | 0.293823i | ||||
\(626\) | −4.31356 | + | 24.4634i | −0.172405 | + | 0.977755i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 14.1214 | − | 11.8492i | 0.563504 | − | 0.472836i | ||||
\(629\) | 8.66811 | + | 15.0136i | 0.345620 | + | 0.598632i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 1.57039 | − | 2.71999i | 0.0625162 | − | 0.108281i | −0.833073 | − | 0.553163i | \(-0.813421\pi\) |
0.895590 | + | 0.444881i | \(0.146754\pi\) | |||||||
\(632\) | −2.52610 | − | 14.3262i | −0.100483 | − | 0.569866i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −7.18490 | + | 2.61509i | −0.285349 | + | 0.103858i | ||||
\(635\) | 19.7242 | − | 7.17901i | 0.782730 | − | 0.284890i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.752098 | + | 4.26536i | 0.0297992 | + | 0.169000i | ||||
\(638\) | −0.338774 | + | 0.586774i | −0.0134122 | + | 0.0232306i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.911374 | − | 1.57855i | −0.0360252 | − | 0.0623975i | ||||
\(641\) | −24.3775 | + | 20.4551i | −0.962853 | + | 0.807929i | −0.981415 | − | 0.191898i | \(-0.938536\pi\) |
0.0185622 | + | 0.999828i | \(0.494091\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −2.23087 | + | 12.6519i | −0.0879769 | + | 0.498942i | 0.908698 | + | 0.417455i | \(0.137078\pi\) |
−0.996674 | + | 0.0814867i | \(0.974033\pi\) | |||||||
\(644\) | −1.40921 | − | 1.18247i | −0.0555308 | − | 0.0465959i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 1.64085 | + | 0.597220i | 0.0645584 | + | 0.0234973i | ||||
\(647\) | 28.2444 | 1.11040 | 0.555200 | − | 0.831717i | \(-0.312642\pi\) | ||||
0.555200 | + | 0.831717i | \(0.312642\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 3.77042 | 0.148002 | ||||||||
\(650\) | −8.79852 | − | 3.20240i | −0.345106 | − | 0.125608i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 13.7027 | + | 11.4979i | 0.536637 | + | 0.450292i | ||||
\(653\) | 4.51320 | − | 25.5956i | 0.176615 | − | 1.00163i | −0.759648 | − | 0.650335i | \(-0.774629\pi\) |
0.936263 | − | 0.351300i | \(-0.114260\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 18.8363 | − | 15.8055i | 0.735996 | − | 0.617574i | ||||
\(656\) | −5.84536 | − | 10.1245i | −0.228223 | − | 0.395294i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 6.87407 | − | 11.9062i | 0.267979 | − | 0.464153i | ||||
\(659\) | −8.26875 | − | 46.8944i | −0.322105 | − | 1.82675i | −0.529286 | − | 0.848443i | \(-0.677540\pi\) |
0.207181 | − | 0.978303i | \(-0.433571\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 0.823648 | − | 0.299783i | 0.0320362 | − | 0.0116602i | −0.325952 | − | 0.945386i | \(-0.605685\pi\) |
0.357989 | + | 0.933726i | \(0.383463\pi\) | |||||||
\(662\) | −28.7656 | + | 10.4698i | −1.11801 | + | 0.406922i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −4.25200 | − | 24.1143i | −0.165010 | − | 0.935817i | ||||
\(665\) | 0.534854 | − | 0.926394i | 0.0207407 | − | 0.0359240i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.215714 | + | 0.373627i | 0.00835246 | + | 0.0144669i | ||||
\(668\) | 13.5176 | − | 11.3426i | 0.523010 | − | 0.438857i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −3.22379 | + | 18.2830i | −0.124546 | + | 0.706334i | ||||
\(671\) | −2.77010 | − | 2.32439i | −0.106939 | − | 0.0897322i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −35.0876 | − | 12.7708i | −1.35253 | − | 0.492280i | −0.438792 | − | 0.898589i | \(-0.644593\pi\) |
−0.913736 | + | 0.406309i | \(0.866816\pi\) | |||||||
\(674\) | −1.22206 | −0.0470721 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −6.83505 | −0.262886 | ||||||||
\(677\) | 12.8918 | + | 4.69223i | 0.495472 | + | 0.180337i | 0.577656 | − | 0.816280i | \(-0.303967\pi\) |
−0.0821842 | + | 0.996617i | \(0.526190\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 10.3437 | + | 8.67936i | 0.396953 | + | 0.333083i | ||||
\(680\) | −6.13663 | + | 34.8026i | −0.235329 | + | 1.33462i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.830645 | − | 0.696994i | 0.0318070 | − | 0.0266893i | ||||
\(683\) | −24.9943 | − | 43.2914i | −0.956381 | − | 1.65650i | −0.731175 | − | 0.682190i | \(-0.761028\pi\) |
−0.225206 | − | 0.974311i | \(-0.572306\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.97112 | − | 3.41407i | 0.0753125 | − | 0.130445i | ||||
\(686\) | −3.58038 | − | 20.3053i | −0.136699 | − | 0.775261i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 5.83070 | − | 2.12220i | 0.222293 | − | 0.0809082i | ||||
\(689\) | −44.8163 | + | 16.3118i | −1.70737 | + | 0.621430i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 4.13544 | + | 23.4533i | 0.157320 | + | 0.892204i | 0.956634 | + | 0.291291i | \(0.0940849\pi\) |
−0.799315 | + | 0.600913i | \(0.794804\pi\) | |||||||
\(692\) | 8.40653 | − | 14.5605i | 0.319568 | − | 0.553508i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −3.10483 | − | 5.37773i | −0.117858 | − | 0.204136i | ||||
\(695\) | 10.6655 | − | 8.94941i | 0.404565 | − | 0.339471i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 9.41054 | − | 53.3698i | 0.356450 | − | 2.02153i | ||||
\(698\) | −24.7085 | − | 20.7329i | −0.935230 | − | 0.784751i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −4.00799 | − | 1.45879i | −0.151488 | − | 0.0551370i | ||||
\(701\) | 34.4493 | 1.30113 | 0.650565 | − | 0.759450i | \(-0.274532\pi\) | ||||
0.650565 | + | 0.759450i | \(0.274532\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0.649815 | 0.0245082 | ||||||||
\(704\) | 9.06962 | + | 3.30107i | 0.341824 | + | 0.124414i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 29.8521 | + | 25.0489i | 1.12350 | + | 0.942728i | ||||
\(707\) | 2.13755 | − | 12.1227i | 0.0803909 | − | 0.455920i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 11.8915 | − | 9.97817i | 0.446595 | − | 0.374738i | −0.391575 | − | 0.920146i | \(-0.628070\pi\) |
0.838171 | + | 0.545408i | \(0.183625\pi\) | |||||||
\(710\) | 0.0823456 | + | 0.142627i | 0.00309038 | + | 0.00535269i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 10.2075 | − | 17.6800i | 0.382543 | − | 0.662585i | ||||
\(713\) | −0.119894 | − | 0.679954i | −0.00449008 | − | 0.0254645i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 9.35981 | − | 3.40669i | 0.350037 | − | 0.127403i | ||||
\(716\) | 9.11097 | − | 3.31612i | 0.340493 | − | 0.123929i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −4.82897 | − | 27.3864i | −0.180216 | − | 1.02205i | ||||
\(719\) | −6.02686 | + | 10.4388i | −0.224764 | + | 0.389303i | −0.956249 | − | 0.292555i | \(-0.905494\pi\) |
0.731485 | + | 0.681858i | \(0.238828\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −14.2872 | − | 24.7461i | −0.532083 | − | 0.921594i | ||||
\(722\) | −15.2954 | + | 12.8344i | −0.569236 | + | 0.477645i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 2.76880 | − | 15.7026i | 0.102902 | − | 0.583584i | ||||
\(725\) | 0.766265 | + | 0.642973i | 0.0284584 | + | 0.0238794i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 29.7227 | + | 10.8182i | 1.10235 | + | 0.401224i | 0.828184 | − | 0.560457i | \(-0.189374\pi\) |
0.274171 | + | 0.961681i | \(0.411597\pi\) | |||||||
\(728\) | 34.0685 | 1.26266 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 9.79423 | 0.362501 | ||||||||
\(731\) | 27.0286 | + | 9.83761i | 0.999690 | + | 0.363857i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −14.5784 | − | 12.2328i | −0.538466 | − | 0.451827i | 0.332547 | − | 0.943087i | \(-0.392092\pi\) |
−0.871013 | + | 0.491260i | \(0.836537\pi\) | |||||||
\(734\) | −2.07123 | + | 11.7465i | −0.0764503 | + | 0.433571i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 2.95336 | − | 2.47816i | 0.108862 | − | 0.0913462i | ||||
\(737\) | 6.32516 | + | 10.9555i | 0.232990 | + | 0.403551i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −8.30036 | + | 14.3767i | −0.305334 | + | 0.528854i | −0.977336 | − | 0.211696i | \(-0.932101\pi\) |
0.672002 | + | 0.740550i | \(0.265435\pi\) | |||||||
\(740\) | 0.702405 | + | 3.98354i | 0.0258209 | + | 0.146438i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 25.5443 | − | 9.29737i | 0.937761 | − | 0.341317i | ||||
\(743\) | 31.2951 | − | 11.3905i | 1.14811 | − | 0.417876i | 0.303271 | − | 0.952904i | \(-0.401921\pi\) |
0.844834 | + | 0.535028i | \(0.179699\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.0324187 | + | 0.183855i | 0.00118773 | + | 0.00673594i | ||||
\(746\) | −3.08078 | + | 5.33606i | −0.112795 | + | 0.195367i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 3.70328 | + | 6.41426i | 0.135405 | + | 0.234529i | ||||
\(749\) | 36.6570 | − | 30.7589i | 1.33942 | − | 1.12390i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 4.82422 | − | 27.3595i | 0.176038 | − | 0.998364i | −0.760900 | − | 0.648869i | \(-0.775242\pi\) |
0.936938 | − | 0.349494i | \(-0.113647\pi\) | |||||||
\(752\) | 5.82445 | + | 4.88729i | 0.212396 | + | 0.178221i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −2.30926 | − | 0.840504i | −0.0840985 | − | 0.0306093i | ||||
\(755\) | 35.3686 | 1.28720 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −3.12036 | −0.113411 | −0.0567057 | − | 0.998391i | \(-0.518060\pi\) | ||||
−0.0567057 | + | 0.998391i | \(0.518060\pi\) | |||||||
\(758\) | −24.1012 | − | 8.77213i | −0.875396 | − | 0.318618i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 1.01473 | + | 0.851456i | 0.0368080 | + | 0.0308855i | ||||
\(761\) | −7.63343 | + | 43.2914i | −0.276712 | + | 1.56931i | 0.456760 | + | 0.889590i | \(0.349010\pi\) |
−0.733471 | + | 0.679720i | \(0.762101\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 11.8971 | − | 9.98282i | 0.430702 | − | 0.361402i | ||||
\(764\) | −11.9783 | − | 20.7470i | −0.433360 | − | 0.750602i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 2.01168 | − | 3.48433i | 0.0726849 | − | 0.125894i | ||||
\(767\) | 2.37469 | + | 13.4675i | 0.0857452 | + | 0.486285i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −3.48894 | + | 1.26987i | −0.125815 | + | 0.0457927i | −0.404160 | − | 0.914688i | \(-0.632436\pi\) |
0.278346 | + | 0.960481i | \(0.410214\pi\) | |||||||
\(770\) | −5.33488 | + | 1.94174i | −0.192256 | + | 0.0699754i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 2.64645 | + | 15.0088i | 0.0952479 | + | 0.540178i | ||||
\(773\) | 4.48452 | − | 7.76741i | 0.161297 | − | 0.279374i | −0.774037 | − | 0.633140i | \(-0.781766\pi\) |
0.935334 | + | 0.353766i | \(0.115099\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.800417 | − | 1.38636i | −0.0287518 | − | 0.0497996i | ||||
\(776\) | −12.8087 | + | 10.7477i | −0.459804 | + | 0.385821i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 1.98494 | − | 11.2572i | 0.0711636 | − | 0.403589i | ||||
\(779\) | −1.55608 | − | 1.30571i | −0.0557525 | − | 0.0467819i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.105454 | + | 0.0383820i | 0.00377343 | + | 0.00137342i | ||||
\(782\) | −5.90098 | −0.211018 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 1.36527 | 0.0487597 | ||||||||
\(785\) | −34.0402 | − | 12.3896i | −1.21495 | − | 0.442204i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 33.5921 | + | 28.1872i | 1.19743 | + | 1.00476i | 0.999700 | + | 0.0245073i | \(0.00780170\pi\) |
0.197731 | + | 0.980256i | \(0.436643\pi\) | |||||||
\(788\) | −0.387562 | + | 2.19797i | −0.0138063 | + | 0.0782995i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −6.73547 | + | 5.65173i | −0.239637 | + | 0.201079i | ||||
\(791\) | 8.50374 | + | 14.7289i | 0.302358 | + | 0.523699i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 6.55782 | − | 11.3585i | 0.232875 | − | 0.403351i | ||||
\(794\) | −1.92404 | − | 10.9118i | −0.0682817 | − | 0.387245i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 15.4766 | − | 5.63304i | 0.548555 | − | 0.199658i | ||||
\(797\) | −11.2914 | + | 4.10972i | −0.399961 | + | 0.145574i | −0.534166 | − | 0.845380i | \(-0.679374\pi\) |
0.134205 | + | 0.990954i | \(0.457152\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 6.12032 | + | 34.7101i | 0.216521 | + | 1.22795i | ||||
\(800\) | 4.46940 | − | 7.74124i | 0.158017 | − | 0.273694i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −7.57299 | − | 13.1168i | −0.267412 | − | 0.463171i | ||||
\(803\) | 5.11246 | − | 4.28986i | 0.180415 | − | 0.151386i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.627735 | + | 3.56006i | −0.0221247 | + | 0.125476i | ||||
\(806\) | 3.01275 | + | 2.52800i | 0.106120 | + | 0.0890449i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 14.3239 | + | 5.21348i | 0.503914 | + | 0.183410i | ||||
\(809\) | −8.02937 | −0.282298 | −0.141149 | − | 0.989988i | \(-0.545080\pi\) | ||||
−0.141149 | + | 0.989988i | \(0.545080\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −12.8345 | −0.450681 | −0.225341 | − | 0.974280i | \(-0.572349\pi\) | ||||
−0.225341 | + | 0.974280i | \(0.572349\pi\) | |||||||
\(812\) | −1.05194 | − | 0.382875i | −0.0369158 | − | 0.0134363i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −2.64191 | − | 2.21682i | −0.0925988 | − | 0.0776996i | ||||
\(815\) | 6.10385 | − | 34.6167i | 0.213809 | − | 1.21257i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.825899 | − | 0.693012i | 0.0288946 | − | 0.0242454i | ||||
\(818\) | −9.32142 | − | 16.1452i | −0.325916 | − | 0.564503i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 6.32233 | − | 10.9506i | 0.220785 | − | 0.382411i | ||||
\(821\) | −5.15134 | − | 29.2147i | −0.179783 | − | 1.01960i | −0.932477 | − | 0.361230i | \(-0.882357\pi\) |
0.752694 | − | 0.658371i | \(-0.228754\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −46.5531 | + | 16.9439i | −1.62274 | + | 0.590628i | −0.983901 | − | 0.178715i | \(-0.942806\pi\) |
−0.638836 | + | 0.769343i | \(0.720584\pi\) | |||||||
\(824\) | 33.2500 | − | 12.1020i | 1.15832 | − | 0.421594i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −1.35352 | − | 7.67620i | −0.0470950 | − | 0.267089i | ||||
\(827\) | −20.4215 | + | 35.3711i | −0.710126 | + | 1.22997i | 0.254683 | + | 0.967025i | \(0.418029\pi\) |
−0.964809 | + | 0.262950i | \(0.915305\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 4.72638 | + | 8.18633i | 0.164154 | + | 0.284323i | 0.936355 | − | 0.351056i | \(-0.114177\pi\) |
−0.772201 | + | 0.635379i | \(0.780844\pi\) | |||||||
\(830\) | −11.3373 | + | 9.51316i | −0.393525 | + | 0.330207i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −6.07884 | + | 34.4748i | −0.210746 | + | 1.19520i | ||||
\(833\) | 4.84815 | + | 4.06808i | 0.167978 | + | 0.140951i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −32.5847 | − | 11.8598i | −1.12764 | − | 0.410427i | ||||
\(836\) | 0.277620 | 0.00960170 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 9.62995 | 0.332661 | ||||||||
\(839\) | 11.5459 | + | 4.20236i | 0.398609 | + | 0.145082i | 0.533543 | − | 0.845773i | \(-0.320860\pi\) |
−0.134934 | + | 0.990855i | \(0.543082\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −22.0142 | − | 18.4721i | −0.759109 | − | 0.636968i | ||||
\(842\) | 4.42964 | − | 25.1218i | 0.152656 | − | 0.865753i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 2.51204 | − | 2.10786i | 0.0864681 | − | 0.0725554i | ||||
\(845\) | 6.71575 | + | 11.6320i | 0.231029 | + | 0.400154i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 11.5916 | − | 20.0772i | 0.398292 | − | 0.689862i | ||||
\(848\) | 2.61057 | + | 14.8053i | 0.0896474 | + | 0.508416i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −12.8566 | + | 4.67943i | −0.440979 | + | 0.160503i | ||||
\(851\) | −2.06356 | + | 0.751073i | −0.0707378 | + | 0.0257464i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −5.35980 | − | 30.3969i | −0.183516 | − | 1.04077i | −0.927847 | − | 0.372960i | \(-0.878343\pi\) |
0.744331 | − | 0.667811i | \(-0.232768\pi\) | |||||||
\(854\) | −3.73781 | + | 6.47408i | −0.127905 | + | 0.221538i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 29.6280 | + | 51.3172i | 1.01266 | + | 1.75399i | ||||
\(857\) | 8.53835 | − | 7.16453i | 0.291665 | − | 0.244736i | −0.485200 | − | 0.874403i | \(-0.661253\pi\) |
0.776865 | + | 0.629667i | \(0.216809\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 0.720410 | − | 4.08565i | 0.0245801 | − | 0.139401i | −0.970048 | − | 0.242913i | \(-0.921897\pi\) |
0.994628 | + | 0.103512i | \(0.0330082\pi\) | |||||||
\(860\) | 5.14108 | + | 4.31388i | 0.175310 | + | 0.147102i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 29.2598 | + | 10.6497i | 0.996591 | + | 0.362730i | ||||
\(863\) | −47.2534 | −1.60852 | −0.804262 | − | 0.594275i | \(-0.797439\pi\) | ||||
−0.804262 | + | 0.594275i | \(0.797439\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −33.0392 | −1.12337 | ||||||||
\(866\) | −0.663553 | − | 0.241514i | −0.0225484 | − | 0.00820696i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 1.37240 | + | 1.15158i | 0.0465822 | + | 0.0390871i | ||||
\(869\) | −1.04037 | + | 5.90025i | −0.0352923 | + | 0.200152i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −35.1482 | + | 29.4928i | −1.19095 | + | 0.999327i | ||||
\(872\) | 9.61579 | + | 16.6550i | 0.325632 | + | 0.564011i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −0.110593 | + | 0.191553i | −0.00374087 | + | 0.00647938i | ||||
\(875\) | 5.18308 | + | 29.3947i | 0.175220 | + | 0.993722i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −33.0306 | + | 12.0222i | −1.11536 | + | 0.405959i | −0.832958 | − | 0.553336i | \(-0.813355\pi\) |
−0.282406 | + | 0.959295i | \(0.591132\pi\) | |||||||
\(878\) | 6.29009 | − | 2.28940i | 0.212280 | − | 0.0772637i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −0.545213 | − | 3.09206i | −0.0183791 | − | 0.104233i | ||||
\(881\) | 9.67981 | − | 16.7659i | 0.326121 | − | 0.564858i | −0.655618 | − | 0.755093i | \(-0.727592\pi\) |
0.981739 | + | 0.190235i | \(0.0609250\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 6.89302 | + | 11.9391i | 0.231969 | + | 0.401781i | 0.958387 | − | 0.285471i | \(-0.0921500\pi\) |
−0.726419 | + | 0.687252i | \(0.758817\pi\) | |||||||
\(884\) | −20.5787 | + | 17.2676i | −0.692136 | + | 0.580771i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 2.81102 | − | 15.9421i | 0.0944381 | − | 0.535585i | ||||
\(887\) | −22.8415 | − | 19.1663i | −0.766942 | − | 0.643541i | 0.172981 | − | 0.984925i | \(-0.444660\pi\) |
−0.939924 | + | 0.341384i | \(0.889104\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −27.7849 | − | 10.1129i | −0.931877 | − | 0.339176i | ||||
\(890\) | −12.3391 | −0.413609 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 18.8705 | 0.631832 | ||||||||
\(893\) | 1.24144 | + | 0.451846i | 0.0415431 | + | 0.0151205i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −14.5954 | − | 12.2470i | −0.487870 | − | 0.409372i | ||||
\(896\) | −0.445869 | + | 2.52865i | −0.0148954 | + | 0.0844763i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −25.8773 | + | 21.7136i | −0.863536 | + | 0.724593i | ||||
\(899\) | −0.210078 | − | 0.363866i | −0.00700649 | − | 0.0121356i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −34.8448 | + | 60.3530i | −1.16085 | + | 2.01065i | ||||
\(902\) | 1.87208 | + | 10.6171i | 0.0623333 | + | 0.353510i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −19.7904 | + | 7.20313i | −0.658220 | + | 0.239572i | ||||
\(905\) | −29.4435 | + | 10.7166i | −0.978736 | + | 0.356231i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −1.08210 | − | 6.13690i | −0.0359306 | − | 0.203772i | 0.961558 | − | 0.274603i | \(-0.0885463\pi\) |
−0.997488 | + | 0.0708301i | \(0.977435\pi\) | |||||||
\(908\) | −6.36984 | + | 11.0329i | −0.211391 | + | 0.366139i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −10.2957 | − | 17.8327i | −0.341300 | − | 0.591148i | ||||
\(911\) | −24.2372 | + | 20.3375i | −0.803016 | + | 0.673810i | −0.948930 | − | 0.315487i | \(-0.897832\pi\) |
0.145914 | + | 0.989297i | \(0.453388\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −1.75119 | + | 9.93149i | −0.0579559 | + | 0.328684i | ||||
\(914\) | 15.4813 | + | 12.9903i | 0.512074 | + | 0.429681i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 14.0966 | + | 5.13076i | 0.465766 | + | 0.169525i | ||||
\(917\) | −34.6380 | −1.14385 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 36.0031 | 1.18763 | 0.593816 | − | 0.804601i | \(-0.297621\pi\) | ||||
0.593816 | + | 0.804601i | \(0.297621\pi\) | |||||||
\(920\) | −4.20650 | − | 1.53104i | −0.138684 | − | 0.0504770i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −4.21622 | − | 3.53783i | −0.138854 | − | 0.116512i | ||||
\(923\) | −0.0706795 | + | 0.400844i | −0.00232645 | + | 0.0131939i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −3.90034 | + | 3.27277i | −0.128242 | + | 0.107608i | ||||
\(926\) | −0.894800 | − | 1.54984i | −0.0294049 | − | 0.0509309i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 1.17304 | − | 2.03177i | 0.0385070 | − | 0.0666961i | ||||
\(929\) | 4.41895 | + | 25.0611i | 0.144981 | + | 0.822228i | 0.967382 | + | 0.253321i | \(0.0815228\pi\) |
−0.822401 | + | 0.568908i | \(0.807366\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.222917 | − | 0.0811351i | 0.00730580 | − | 0.00265910i | ||||
\(932\) | 4.67454 | − | 1.70139i | 0.153120 | − | 0.0557310i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 3.60354 | + | 20.4367i | 0.117912 | + | 0.668710i | ||||
\(935\) | 7.27728 | − | 12.6046i | 0.237993 | − | 0.412215i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −14.1524 | − | 24.5127i | −0.462338 | − | 0.800794i | 0.536739 | − | 0.843749i | \(-0.319656\pi\) |
−0.999077 | + | 0.0429549i | \(0.986323\pi\) | |||||||
\(938\) | 20.0337 | − | 16.8103i | 0.654123 | − | 0.548874i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −1.42803 | + | 8.09875i | −0.0465771 | + | 0.264152i | ||||
\(941\) | 6.35391 | + | 5.33156i | 0.207132 | + | 0.173804i | 0.740452 | − | 0.672109i | \(-0.234612\pi\) |
−0.533320 | + | 0.845913i | \(0.679056\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 6.45069 | + | 2.34786i | 0.210063 | + | 0.0764568i | ||||
\(944\) | 4.31074 | 0.140303 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −5.72199 | −0.186038 | ||||||||
\(947\) | 41.7699 | + | 15.2030i | 1.35734 | + | 0.494031i | 0.915231 | − | 0.402930i | \(-0.132008\pi\) |
0.442109 | + | 0.896961i | \(0.354230\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 18.5429 | + | 15.5593i | 0.601928 | + | 0.505077i | ||||
\(950\) | −0.0890526 | + | 0.505043i | −0.00288925 | + | 0.0163857i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 38.1351 | − | 31.9991i | 1.23596 | − | 1.03710i | ||||
\(953\) | 4.83574 | + | 8.37576i | 0.156645 | + | 0.271317i | 0.933657 | − | 0.358169i | \(-0.116599\pi\) |
−0.777012 | + | 0.629486i | \(0.783265\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −23.5385 | + | 40.7699i | −0.761688 | + | 1.31928i | ||||
\(956\) | 0.813657 | + | 4.61448i | 0.0263155 | + | 0.149243i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 28.9826 | − | 10.5488i | 0.936384 | − | 0.340816i | ||||
\(959\) | −5.21842 | + | 1.89935i | −0.168511 | + | 0.0613332i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −5.26633 | − | 29.8668i | −0.169882 | − | 0.963447i | ||||
\(962\) | 6.25433 | − | 10.8328i | 0.201648 | − | 0.349264i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −3.95448 | − | 6.84936i | −0.127365 | − | 0.220603i | ||||
\(965\) | 22.9420 | − | 19.2506i | 0.738529 | − | 0.619699i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −5.75037 | + | 32.6120i | −0.184920 | + | 1.04873i | 0.741139 | + | 0.671351i | \(0.234286\pi\) |
−0.926059 | + | 0.377379i | \(0.876825\pi\) | |||||||
\(968\) | 21.9916 | + | 18.4531i | 0.706837 | + | 0.593106i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 9.49663 | + | 3.45649i | 0.304918 | + | 0.110981i | ||||
\(971\) | −27.4309 | −0.880298 | −0.440149 | − | 0.897925i | \(-0.645074\pi\) | ||||
−0.440149 | + | 0.897925i | \(0.645074\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −19.6127 | −0.628755 | ||||||||
\(974\) | 20.3158 | + | 7.39434i | 0.650960 | + | 0.236930i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −3.16707 | − | 2.65749i | −0.101376 | − | 0.0850642i | ||||
\(977\) | 6.31690 | − | 35.8249i | 0.202096 | − | 1.14614i | −0.699850 | − | 0.714290i | \(-0.746750\pi\) |
0.901945 | − | 0.431850i | \(-0.142139\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −6.44087 | + | 5.40453i | −0.205851 | + | 0.172730i | ||||
\(980\) | 0.738337 | + | 1.27884i | 0.0235853 | + | 0.0408510i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −9.23957 | + | 16.0034i | −0.294847 | + | 0.510689i | ||||
\(983\) | 7.31705 | + | 41.4971i | 0.233378 | + | 1.32355i | 0.846003 | + | 0.533177i | \(0.179002\pi\) |
−0.612626 | + | 0.790373i | \(0.709887\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 4.12135 | − | 1.50005i | 0.131317 | − | 0.0477955i | ||||
\(986\) | −3.37436 | + | 1.22817i | −0.107462 | + | 0.0391128i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.174851 | + | 0.991631i | 0.00556276 | + | 0.0315480i | ||||
\(989\) | −1.82173 | + | 3.15533i | −0.0579276 | + | 0.100334i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −12.7705 | − | 22.1191i | −0.405667 | − | 0.702635i | 0.588732 | − | 0.808328i | \(-0.299627\pi\) |
−0.994399 | + | 0.105693i | \(0.966294\pi\) | |||||||
\(992\) | −2.87620 | + | 2.41342i | −0.0913194 | + | 0.0766261i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0.0402858 | − | 0.228472i | 0.00127779 | − | 0.00724669i | ||||
\(995\) | −24.7929 | − | 20.8037i | −0.785989 | − | 0.659523i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −22.1137 | − | 8.04872i | −0.700347 | − | 0.254905i | −0.0327879 | − | 0.999462i | \(-0.510439\pi\) |
−0.667559 | + | 0.744557i | \(0.732661\pi\) | |||||||
\(998\) | −20.1439 | −0.637644 | ||||||||
\(999\) | 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 | 243.2.e.d.190.1 | 12 | ||
3.2 | odd | 2 | 243.2.e.a.190.2 | 12 | |||
9.2 | odd | 6 | 81.2.e.a.10.1 | 12 | |||
9.4 | even | 3 | 243.2.e.c.109.2 | 12 | |||
9.5 | odd | 6 | 243.2.e.b.109.1 | 12 | |||
9.7 | even | 3 | 27.2.e.a.13.2 | ✓ | 12 | ||
27.2 | odd | 18 | 243.2.e.b.136.1 | 12 | |||
27.4 | even | 9 | 729.2.c.e.244.2 | 12 | |||
27.5 | odd | 18 | 729.2.c.b.487.5 | 12 | |||
27.7 | even | 9 | inner | 243.2.e.d.55.1 | 12 | ||
27.11 | odd | 18 | 81.2.e.a.73.1 | 12 | |||
27.13 | even | 9 | 729.2.a.a.1.5 | 6 | |||
27.14 | odd | 18 | 729.2.a.d.1.2 | 6 | |||
27.16 | even | 9 | 27.2.e.a.25.2 | yes | 12 | ||
27.20 | odd | 18 | 243.2.e.a.55.2 | 12 | |||
27.22 | even | 9 | 729.2.c.e.487.2 | 12 | |||
27.23 | odd | 18 | 729.2.c.b.244.5 | 12 | |||
27.25 | even | 9 | 243.2.e.c.136.2 | 12 | |||
36.7 | odd | 6 | 432.2.u.c.337.2 | 12 | |||
45.7 | odd | 12 | 675.2.u.b.499.2 | 24 | |||
45.34 | even | 6 | 675.2.l.c.526.1 | 12 | |||
45.43 | odd | 12 | 675.2.u.b.499.3 | 24 | |||
108.43 | odd | 18 | 432.2.u.c.241.2 | 12 | |||
135.43 | odd | 36 | 675.2.u.b.349.2 | 24 | |||
135.97 | odd | 36 | 675.2.u.b.349.3 | 24 | |||
135.124 | even | 18 | 675.2.l.c.376.1 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.2.e.a.13.2 | ✓ | 12 | 9.7 | even | 3 | ||
27.2.e.a.25.2 | yes | 12 | 27.16 | even | 9 | ||
81.2.e.a.10.1 | 12 | 9.2 | odd | 6 | |||
81.2.e.a.73.1 | 12 | 27.11 | odd | 18 | |||
243.2.e.a.55.2 | 12 | 27.20 | odd | 18 | |||
243.2.e.a.190.2 | 12 | 3.2 | odd | 2 | |||
243.2.e.b.109.1 | 12 | 9.5 | odd | 6 | |||
243.2.e.b.136.1 | 12 | 27.2 | odd | 18 | |||
243.2.e.c.109.2 | 12 | 9.4 | even | 3 | |||
243.2.e.c.136.2 | 12 | 27.25 | even | 9 | |||
243.2.e.d.55.1 | 12 | 27.7 | even | 9 | inner | ||
243.2.e.d.190.1 | 12 | 1.1 | even | 1 | trivial | ||
432.2.u.c.241.2 | 12 | 108.43 | odd | 18 | |||
432.2.u.c.337.2 | 12 | 36.7 | odd | 6 | |||
675.2.l.c.376.1 | 12 | 135.124 | even | 18 | |||
675.2.l.c.526.1 | 12 | 45.34 | even | 6 | |||
675.2.u.b.349.2 | 24 | 135.43 | odd | 36 | |||
675.2.u.b.349.3 | 24 | 135.97 | odd | 36 | |||
675.2.u.b.499.2 | 24 | 45.7 | odd | 12 | |||
675.2.u.b.499.3 | 24 | 45.43 | odd | 12 | |||
729.2.a.a.1.5 | 6 | 27.13 | even | 9 | |||
729.2.a.d.1.2 | 6 | 27.14 | odd | 18 | |||
729.2.c.b.244.5 | 12 | 27.23 | odd | 18 | |||
729.2.c.b.487.5 | 12 | 27.5 | odd | 18 | |||
729.2.c.e.244.2 | 12 | 27.4 | even | 9 | |||
729.2.c.e.487.2 | 12 | 27.22 | even | 9 |