Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(101,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.101");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.l (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 301.2 | ||
Character | \(\chi\) | \(=\) | 950.301 |
Dual form | 950.2.l.j.101.2 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.766044 | − | 0.642788i | −0.541675 | − | 0.454519i | ||||
\(3\) | −0.0801377 | + | 0.0291678i | −0.0462676 | + | 0.0168400i | −0.365050 | − | 0.930988i | \(-0.618948\pi\) |
0.318783 | + | 0.947828i | \(0.396726\pi\) | |||||||
\(4\) | 0.173648 | + | 0.984808i | 0.0868241 | + | 0.492404i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0.0801377 | + | 0.0291678i | 0.0327161 | + | 0.0119077i | ||||
\(7\) | 0.920368 | + | 1.59412i | 0.347866 | + | 0.602522i | 0.985870 | − | 0.167511i | \(-0.0535729\pi\) |
−0.638004 | + | 0.770033i | \(0.720240\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | −2.29256 | + | 1.92369i | −0.764187 | + | 0.641229i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.21024 | + | 2.09620i | −0.364902 | + | 0.632029i | −0.988760 | − | 0.149509i | \(-0.952231\pi\) |
0.623858 | + | 0.781537i | \(0.285564\pi\) | |||||||
\(12\) | −0.0426404 | − | 0.0738553i | −0.0123092 | − | 0.0213202i | ||||
\(13\) | 2.84986 | + | 1.03726i | 0.790408 | + | 0.287685i | 0.705506 | − | 0.708704i | \(-0.250720\pi\) |
0.0849022 | + | 0.996389i | \(0.472942\pi\) | |||||||
\(14\) | 0.319640 | − | 1.81277i | 0.0854275 | − | 0.484483i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | −5.22645 | − | 4.38551i | −1.26760 | − | 1.06364i | −0.994829 | − | 0.101564i | \(-0.967615\pi\) |
−0.272771 | − | 0.962079i | \(-0.587940\pi\) | |||||||
\(18\) | 2.99273 | 0.705393 | ||||||||
\(19\) | −3.15879 | + | 3.00368i | −0.724675 | + | 0.689091i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.120253 | − | 0.100904i | −0.0262414 | − | 0.0220192i | ||||
\(22\) | 2.27451 | − | 0.827855i | 0.484928 | − | 0.176499i | ||||
\(23\) | −1.39392 | − | 7.90530i | −0.290652 | − | 1.64837i | −0.684368 | − | 0.729137i | \(-0.739922\pi\) |
0.393716 | − | 0.919232i | \(-0.371189\pi\) | |||||||
\(24\) | −0.0148089 | + | 0.0839852i | −0.00302285 | + | 0.0171434i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −1.51638 | − | 2.62644i | −0.297386 | − | 0.515087i | ||||
\(27\) | 0.255532 | − | 0.442595i | 0.0491772 | − | 0.0851774i | ||||
\(28\) | −1.41009 | + | 1.18320i | −0.266481 | + | 0.223604i | ||||
\(29\) | −7.77809 | + | 6.52659i | −1.44436 | + | 1.21196i | −0.507782 | + | 0.861486i | \(0.669534\pi\) |
−0.936573 | + | 0.350472i | \(0.886021\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.41863 | − | 4.18918i | −0.434398 | − | 0.752400i | 0.562848 | − | 0.826560i | \(-0.309706\pi\) |
−0.997246 | + | 0.0741606i | \(0.976372\pi\) | |||||||
\(32\) | 0.939693 | + | 0.342020i | 0.166116 | + | 0.0604612i | ||||
\(33\) | 0.0358446 | − | 0.203285i | 0.00623975 | − | 0.0353874i | ||||
\(34\) | 1.18474 | + | 6.71899i | 0.203181 | + | 1.15230i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −2.29256 | − | 1.92369i | −0.382094 | − | 0.320615i | ||||
\(37\) | 0.202139 | 0.0332314 | 0.0166157 | − | 0.999862i | \(-0.494711\pi\) | ||||
0.0166157 | + | 0.999862i | \(0.494711\pi\) | |||||||
\(38\) | 4.35050 | − | 0.270521i | 0.705744 | − | 0.0438843i | ||||
\(39\) | −0.258636 | −0.0414148 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 5.41537 | − | 1.97103i | 0.845739 | − | 0.307824i | 0.117437 | − | 0.993080i | \(-0.462532\pi\) |
0.728302 | + | 0.685257i | \(0.240310\pi\) | |||||||
\(42\) | 0.0272592 | + | 0.154595i | 0.00420619 | + | 0.0238545i | ||||
\(43\) | −0.365228 | + | 2.07131i | −0.0556967 | + | 0.315872i | −0.999909 | − | 0.0134647i | \(-0.995714\pi\) |
0.944213 | + | 0.329336i | \(0.106825\pi\) | |||||||
\(44\) | −2.27451 | − | 0.827855i | −0.342896 | − | 0.124804i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −4.01363 | + | 6.95180i | −0.591777 | + | 1.02499i | ||||
\(47\) | −7.53443 | + | 6.32214i | −1.09901 | + | 0.922179i | −0.997358 | − | 0.0726409i | \(-0.976857\pi\) |
−0.101652 | + | 0.994820i | \(0.532413\pi\) | |||||||
\(48\) | 0.0653289 | − | 0.0548174i | 0.00942941 | − | 0.00791222i | ||||
\(49\) | 1.80585 | − | 3.12782i | 0.257978 | − | 0.446831i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.546751 | + | 0.199001i | 0.0765605 | + | 0.0278657i | ||||
\(52\) | −0.526632 | + | 2.98668i | −0.0730307 | + | 0.414178i | ||||
\(53\) | −1.08918 | − | 6.17705i | −0.149610 | − | 0.848483i | −0.963549 | − | 0.267532i | \(-0.913792\pi\) |
0.813939 | − | 0.580951i | \(-0.197319\pi\) | |||||||
\(54\) | −0.480244 | + | 0.174794i | −0.0653529 | + | 0.0237865i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 1.84074 | 0.245979 | ||||||||
\(57\) | 0.165527 | − | 0.332843i | 0.0219247 | − | 0.0440861i | ||||
\(58\) | 10.1536 | 1.33323 | ||||||||
\(59\) | −4.62264 | − | 3.87886i | −0.601817 | − | 0.504984i | 0.290212 | − | 0.956962i | \(-0.406274\pi\) |
−0.892029 | + | 0.451978i | \(0.850719\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.741860 | + | 4.20730i | 0.0949854 | + | 0.538689i | 0.994752 | + | 0.102317i | \(0.0326257\pi\) |
−0.899766 | + | 0.436372i | \(0.856263\pi\) | |||||||
\(62\) | −0.839980 | + | 4.76376i | −0.106678 | + | 0.604999i | ||||
\(63\) | −5.17660 | − | 1.88413i | −0.652190 | − | 0.237378i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −0.158128 | + | 0.132685i | −0.0194642 | + | 0.0163324i | ||||
\(67\) | −2.39061 | + | 2.00596i | −0.292059 | + | 0.245067i | −0.777030 | − | 0.629463i | \(-0.783275\pi\) |
0.484971 | + | 0.874530i | \(0.338830\pi\) | |||||||
\(68\) | 3.41132 | − | 5.90858i | 0.413684 | − | 0.716521i | ||||
\(69\) | 0.342285 | + | 0.592856i | 0.0412063 | + | 0.0713714i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.94076 | + | 11.0066i | −0.230326 | + | 1.30625i | 0.621910 | + | 0.783089i | \(0.286357\pi\) |
−0.852237 | + | 0.523157i | \(0.824754\pi\) | |||||||
\(72\) | 0.519682 | + | 2.94726i | 0.0612451 | + | 0.347338i | ||||
\(73\) | −7.33739 | + | 2.67059i | −0.858777 | + | 0.312569i | −0.733613 | − | 0.679567i | \(-0.762168\pi\) |
−0.125163 | + | 0.992136i | \(0.539945\pi\) | |||||||
\(74\) | −0.154847 | − | 0.129932i | −0.0180006 | − | 0.0151043i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.50656 | − | 2.58921i | −0.402230 | − | 0.297003i | ||||
\(77\) | −4.45548 | −0.507749 | ||||||||
\(78\) | 0.198126 | + | 0.166248i | 0.0224334 | + | 0.0188239i | ||||
\(79\) | −9.87176 | + | 3.59303i | −1.11066 | + | 0.404247i | −0.831236 | − | 0.555920i | \(-0.812366\pi\) |
−0.279425 | + | 0.960168i | \(0.590144\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.55148 | − | 8.79886i | 0.172386 | − | 0.977651i | ||||
\(82\) | −5.41537 | − | 1.97103i | −0.598028 | − | 0.217664i | ||||
\(83\) | 6.37710 | + | 11.0455i | 0.699978 | + | 1.21240i | 0.968474 | + | 0.249116i | \(0.0801400\pi\) |
−0.268496 | + | 0.963281i | \(0.586527\pi\) | |||||||
\(84\) | 0.0784897 | − | 0.135948i | 0.00856393 | − | 0.0148332i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 1.61119 | − | 1.35195i | 0.173739 | − | 0.145785i | ||||
\(87\) | 0.432953 | − | 0.749896i | 0.0464174 | − | 0.0803973i | ||||
\(88\) | 1.21024 | + | 2.09620i | 0.129012 | + | 0.223456i | ||||
\(89\) | −1.21570 | − | 0.442480i | −0.128864 | − | 0.0469028i | 0.276783 | − | 0.960932i | \(-0.410732\pi\) |
−0.405647 | + | 0.914030i | \(0.632954\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.969391 | + | 5.49769i | 0.101620 | + | 0.576314i | ||||
\(92\) | 7.54315 | − | 2.74548i | 0.786428 | − | 0.286236i | ||||
\(93\) | 0.316012 | + | 0.265166i | 0.0327690 | + | 0.0274964i | ||||
\(94\) | 9.83551 | 1.01445 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −0.0852808 | −0.00870394 | ||||||||
\(97\) | 6.28244 | + | 5.27159i | 0.637885 | + | 0.535249i | 0.903368 | − | 0.428866i | \(-0.141087\pi\) |
−0.265483 | + | 0.964116i | \(0.585531\pi\) | |||||||
\(98\) | −3.39388 | + | 1.23527i | −0.342834 | + | 0.124781i | ||||
\(99\) | −1.25788 | − | 7.13381i | −0.126422 | − | 0.716974i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −7.51370 | − | 2.73476i | −0.747641 | − | 0.272119i | −0.0600281 | − | 0.998197i | \(-0.519119\pi\) |
−0.687613 | + | 0.726078i | \(0.741341\pi\) | |||||||
\(102\) | −0.290920 | − | 0.503889i | −0.0288054 | − | 0.0498924i | ||||
\(103\) | 1.69681 | − | 2.93896i | 0.167192 | − | 0.289584i | −0.770240 | − | 0.637754i | \(-0.779863\pi\) |
0.937431 | + | 0.348170i | \(0.113197\pi\) | |||||||
\(104\) | 2.32322 | − | 1.94942i | 0.227811 | − | 0.191156i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −3.13617 | + | 5.43200i | −0.304612 | + | 0.527603i | ||||
\(107\) | 5.76673 | + | 9.98827i | 0.557491 | + | 0.965603i | 0.997705 | + | 0.0677099i | \(0.0215692\pi\) |
−0.440214 | + | 0.897893i | \(0.645097\pi\) | |||||||
\(108\) | 0.480244 | + | 0.174794i | 0.0462115 | + | 0.0168196i | ||||
\(109\) | −1.87490 | + | 10.6331i | −0.179583 | + | 1.01847i | 0.753136 | + | 0.657865i | \(0.228540\pi\) |
−0.932719 | + | 0.360603i | \(0.882571\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.0161990 | + | 0.00589594i | −0.00153754 | + | 0.000559618i | ||||
\(112\) | −1.41009 | − | 1.18320i | −0.133241 | − | 0.111802i | ||||
\(113\) | −11.9087 | −1.12028 | −0.560139 | − | 0.828399i | \(-0.689252\pi\) | ||||
−0.560139 | + | 0.828399i | \(0.689252\pi\) | |||||||
\(114\) | −0.340748 | + | 0.148573i | −0.0319140 | + | 0.0139152i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −7.77809 | − | 6.52659i | −0.722178 | − | 0.605979i | ||||
\(117\) | −8.52884 | + | 3.10424i | −0.788492 | + | 0.286987i | ||||
\(118\) | 1.04787 | + | 5.94276i | 0.0964641 | + | 0.547075i | ||||
\(119\) | 2.18079 | − | 12.3679i | 0.199913 | − | 1.13376i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.57062 | + | 4.45245i | 0.233693 | + | 0.404768i | ||||
\(122\) | 2.13610 | − | 3.69983i | 0.193393 | − | 0.334967i | ||||
\(123\) | −0.376485 | + | 0.315908i | −0.0339465 | + | 0.0284845i | ||||
\(124\) | 3.70555 | − | 3.10933i | 0.332768 | − | 0.279226i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 2.75441 | + | 4.77078i | 0.245382 | + | 0.425015i | ||||
\(127\) | −4.49504 | − | 1.63606i | −0.398870 | − | 0.145177i | 0.134793 | − | 0.990874i | \(-0.456963\pi\) |
−0.533664 | + | 0.845697i | \(0.679185\pi\) | |||||||
\(128\) | −0.173648 | + | 0.984808i | −0.0153485 | + | 0.0870455i | ||||
\(129\) | −0.0311469 | − | 0.176643i | −0.00274233 | − | 0.0155525i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 9.90820 | + | 8.31396i | 0.865683 | + | 0.726394i | 0.963185 | − | 0.268841i | \(-0.0866406\pi\) |
−0.0975015 | + | 0.995235i | \(0.531085\pi\) | |||||||
\(132\) | 0.206421 | 0.0179666 | ||||||||
\(133\) | −7.69548 | − | 2.27101i | −0.667283 | − | 0.196921i | ||||
\(134\) | 3.12072 | 0.269589 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −6.41119 | + | 2.33348i | −0.549755 | + | 0.200094i | ||||
\(137\) | −0.460196 | − | 2.60990i | −0.0393172 | − | 0.222979i | 0.958818 | − | 0.284021i | \(-0.0916686\pi\) |
−0.998135 | + | 0.0610423i | \(0.980558\pi\) | |||||||
\(138\) | 0.118874 | − | 0.674170i | 0.0101193 | − | 0.0573892i | ||||
\(139\) | 10.8366 | + | 3.94420i | 0.919149 | + | 0.334543i | 0.757900 | − | 0.652371i | \(-0.226225\pi\) |
0.161249 | + | 0.986914i | \(0.448448\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.419390 | − | 0.726405i | 0.0353190 | − | 0.0611743i | ||||
\(142\) | 8.56163 | − | 7.18406i | 0.718476 | − | 0.602873i | ||||
\(143\) | −5.62333 | + | 4.71854i | −0.470247 | + | 0.394584i | ||||
\(144\) | 1.49636 | − | 2.59178i | 0.124697 | − | 0.215981i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 7.33739 | + | 2.67059i | 0.607247 | + | 0.221020i | ||||
\(147\) | −0.0534850 | + | 0.303329i | −0.00441137 | + | 0.0250181i | ||||
\(148\) | 0.0351010 | + | 0.199068i | 0.00288529 | + | 0.0163633i | ||||
\(149\) | 11.4325 | − | 4.16108i | 0.936585 | − | 0.340889i | 0.171769 | − | 0.985137i | \(-0.445052\pi\) |
0.764817 | + | 0.644248i | \(0.222830\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 17.4621 | 1.42104 | 0.710521 | − | 0.703676i | \(-0.248459\pi\) | ||||
0.710521 | + | 0.703676i | \(0.248459\pi\) | |||||||
\(152\) | 1.02187 | + | 4.23743i | 0.0828844 | + | 0.343701i | ||||
\(153\) | 20.4183 | 1.65072 | ||||||||
\(154\) | 3.41309 | + | 2.86393i | 0.275035 | + | 0.230782i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −0.0449116 | − | 0.254706i | −0.00359581 | − | 0.0203928i | ||||
\(157\) | 3.89857 | − | 22.1099i | 0.311140 | − | 1.76456i | −0.281952 | − | 0.959428i | \(-0.590982\pi\) |
0.593092 | − | 0.805134i | \(-0.297907\pi\) | |||||||
\(158\) | 9.87176 | + | 3.59303i | 0.785355 | + | 0.285846i | ||||
\(159\) | 0.267455 | + | 0.463246i | 0.0212106 | + | 0.0367378i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 11.3191 | − | 9.49786i | 0.892071 | − | 0.748536i | ||||
\(162\) | −6.84430 | + | 5.74305i | −0.537739 | + | 0.451217i | ||||
\(163\) | −4.75414 | + | 8.23440i | −0.372373 | + | 0.644968i | −0.989930 | − | 0.141558i | \(-0.954789\pi\) |
0.617557 | + | 0.786526i | \(0.288122\pi\) | |||||||
\(164\) | 2.88146 | + | 4.99083i | 0.225004 | + | 0.389719i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.21474 | − | 12.5604i | 0.171897 | − | 0.974879i | ||||
\(167\) | −0.0476307 | − | 0.270127i | −0.00368577 | − | 0.0209030i | 0.982909 | − | 0.184090i | \(-0.0589338\pi\) |
−0.986595 | + | 0.163187i | \(0.947823\pi\) | |||||||
\(168\) | −0.147512 | + | 0.0536901i | −0.0113808 | + | 0.00414228i | ||||
\(169\) | −2.91281 | − | 2.44414i | −0.224063 | − | 0.188011i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.46358 | − | 12.9626i | 0.111922 | − | 0.991277i | ||||
\(172\) | −2.10326 | −0.160372 | ||||||||
\(173\) | −8.95459 | − | 7.51380i | −0.680805 | − | 0.571263i | 0.235436 | − | 0.971890i | \(-0.424348\pi\) |
−0.916241 | + | 0.400626i | \(0.868793\pi\) | |||||||
\(174\) | −0.813685 | + | 0.296157i | −0.0616853 | + | 0.0224516i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0.420313 | − | 2.38371i | 0.0316823 | − | 0.179679i | ||||
\(177\) | 0.483586 | + | 0.176011i | 0.0363485 | + | 0.0132298i | ||||
\(178\) | 0.646862 | + | 1.12040i | 0.0484844 | + | 0.0839774i | ||||
\(179\) | 8.22436 | − | 14.2450i | 0.614718 | − | 1.06472i | −0.375716 | − | 0.926735i | \(-0.622603\pi\) |
0.990434 | − | 0.137987i | \(-0.0440633\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −16.8188 | + | 14.1126i | −1.25013 | + | 1.04898i | −0.253466 | + | 0.967344i | \(0.581571\pi\) |
−0.996662 | + | 0.0816380i | \(0.973985\pi\) | |||||||
\(182\) | 2.79125 | − | 4.83458i | 0.206901 | − | 0.358363i | ||||
\(183\) | −0.182168 | − | 0.315525i | −0.0134663 | − | 0.0233243i | ||||
\(184\) | −7.54315 | − | 2.74548i | −0.556088 | − | 0.202400i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −0.0716342 | − | 0.406258i | −0.00525247 | − | 0.0297883i | ||||
\(187\) | 15.5182 | − | 5.64816i | 1.13480 | − | 0.413034i | ||||
\(188\) | −7.53443 | − | 6.32214i | −0.549505 | − | 0.461090i | ||||
\(189\) | 0.940735 | 0.0684284 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −4.84898 | −0.350860 | −0.175430 | − | 0.984492i | \(-0.556132\pi\) | ||||
−0.175430 | + | 0.984492i | \(0.556132\pi\) | |||||||
\(192\) | 0.0653289 | + | 0.0548174i | 0.00471471 | + | 0.00395611i | ||||
\(193\) | −9.24069 | + | 3.36334i | −0.665160 | + | 0.242098i | −0.652462 | − | 0.757821i | \(-0.726264\pi\) |
−0.0126972 | + | 0.999919i | \(0.504042\pi\) | |||||||
\(194\) | −1.42411 | − | 8.07655i | −0.102245 | − | 0.579862i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 3.39388 | + | 1.23527i | 0.242420 | + | 0.0882336i | ||||
\(197\) | −4.90346 | − | 8.49304i | −0.349357 | − | 0.605104i | 0.636778 | − | 0.771047i | \(-0.280267\pi\) |
−0.986135 | + | 0.165943i | \(0.946933\pi\) | |||||||
\(198\) | −3.62193 | + | 6.27336i | −0.257399 | + | 0.445828i | ||||
\(199\) | 1.06106 | − | 0.890332i | 0.0752163 | − | 0.0631140i | −0.604404 | − | 0.796678i | \(-0.706589\pi\) |
0.679621 | + | 0.733564i | \(0.262144\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0.133069 | − | 0.230482i | 0.00938594 | − | 0.0162569i | ||||
\(202\) | 3.99795 | + | 6.92466i | 0.281295 | + | 0.487217i | ||||
\(203\) | −17.5629 | − | 6.39237i | −1.23267 | − | 0.448657i | ||||
\(204\) | −0.101036 | + | 0.573001i | −0.00707390 | + | 0.0401181i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −3.18896 | + | 1.16069i | −0.222185 | + | 0.0808689i | ||||
\(207\) | 18.4030 | + | 15.4419i | 1.27910 | + | 1.07329i | ||||
\(208\) | −3.03275 | −0.210284 | ||||||||
\(209\) | −2.47342 | − | 10.2566i | −0.171090 | − | 0.709466i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.62200 | − | 3.03922i | −0.249349 | − | 0.209229i | 0.509543 | − | 0.860445i | \(-0.329815\pi\) |
−0.758892 | + | 0.651217i | \(0.774259\pi\) | |||||||
\(212\) | 5.89407 | − | 2.14527i | 0.404806 | − | 0.147337i | ||||
\(213\) | −0.165510 | − | 0.938653i | −0.0113406 | − | 0.0643155i | ||||
\(214\) | 2.00277 | − | 11.3582i | 0.136906 | − | 0.776434i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −0.255532 | − | 0.442595i | −0.0173868 | − | 0.0301148i | ||||
\(217\) | 4.45205 | − | 7.71118i | 0.302225 | − | 0.523469i | ||||
\(218\) | 8.27109 | − | 6.94027i | 0.560189 | − | 0.470054i | ||||
\(219\) | 0.510107 | − | 0.428031i | 0.0344698 | − | 0.0289236i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −10.3457 | − | 17.9193i | −0.695927 | − | 1.20538i | ||||
\(222\) | 0.0161990 | + | 0.00589594i | 0.00108720 | + | 0.000395709i | ||||
\(223\) | −4.49724 | + | 25.5051i | −0.301157 | + | 1.70795i | 0.339906 | + | 0.940459i | \(0.389605\pi\) |
−0.641064 | + | 0.767488i | \(0.721506\pi\) | |||||||
\(224\) | 0.319640 | + | 1.81277i | 0.0213569 | + | 0.121121i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 9.12261 | + | 7.65478i | 0.606827 | + | 0.509188i | ||||
\(227\) | −11.0277 | −0.731932 | −0.365966 | − | 0.930628i | \(-0.619261\pi\) | ||||
−0.365966 | + | 0.930628i | \(0.619261\pi\) | |||||||
\(228\) | 0.356529 | + | 0.105215i | 0.0236117 | + | 0.00696805i | ||||
\(229\) | 24.1631 | 1.59674 | 0.798370 | − | 0.602167i | \(-0.205696\pi\) | ||||
0.798370 | + | 0.602167i | \(0.205696\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0.357052 | − | 0.129956i | 0.0234923 | − | 0.00855049i | ||||
\(232\) | 1.76315 | + | 9.99932i | 0.115756 | + | 0.656487i | ||||
\(233\) | 3.45540 | − | 19.5965i | 0.226371 | − | 1.28381i | −0.633677 | − | 0.773598i | \(-0.718455\pi\) |
0.860048 | − | 0.510214i | \(-0.170434\pi\) | |||||||
\(234\) | 8.52884 | + | 3.10424i | 0.557548 | + | 0.202931i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 3.01722 | − | 5.22597i | 0.196404 | − | 0.340182i | ||||
\(237\) | 0.686300 | − | 0.575874i | 0.0445800 | − | 0.0374071i | ||||
\(238\) | −9.62051 | + | 8.07257i | −0.623605 | + | 0.523267i | ||||
\(239\) | −9.00250 | + | 15.5928i | −0.582323 | + | 1.00861i | 0.412880 | + | 0.910785i | \(0.364523\pi\) |
−0.995203 | + | 0.0978282i | \(0.968810\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 8.30146 | + | 3.02148i | 0.534744 | + | 0.194631i | 0.595255 | − | 0.803537i | \(-0.297051\pi\) |
−0.0605114 | + | 0.998168i | \(0.519273\pi\) | |||||||
\(242\) | 0.892768 | − | 5.06314i | 0.0573893 | − | 0.325471i | ||||
\(243\) | 0.398548 | + | 2.26028i | 0.0255668 | + | 0.144997i | ||||
\(244\) | −4.01456 | + | 1.46118i | −0.257006 | + | 0.0935424i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0.491466 | 0.0313347 | ||||||||
\(247\) | −12.1177 | + | 5.28355i | −0.771030 | + | 0.336184i | ||||
\(248\) | −4.83725 | −0.307166 | ||||||||
\(249\) | −0.833218 | − | 0.699153i | −0.0528030 | − | 0.0443070i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −2.48052 | − | 14.0677i | −0.156569 | − | 0.887948i | −0.957337 | − | 0.288973i | \(-0.906686\pi\) |
0.800768 | − | 0.598975i | \(-0.204425\pi\) | |||||||
\(252\) | 0.956597 | − | 5.42513i | 0.0602599 | − | 0.341751i | ||||
\(253\) | 18.2581 | + | 6.64540i | 1.14788 | + | 0.417793i | ||||
\(254\) | 2.39176 | + | 4.14265i | 0.150072 | + | 0.259933i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | 22.4360 | − | 18.8261i | 1.39952 | − | 1.17434i | 0.438210 | − | 0.898873i | \(-0.355613\pi\) |
0.961311 | − | 0.275465i | \(-0.0888319\pi\) | |||||||
\(258\) | −0.0896840 | + | 0.155337i | −0.00558348 | + | 0.00967087i | ||||
\(259\) | 0.186042 | + | 0.322234i | 0.0115601 | + | 0.0200227i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 5.27663 | − | 29.9252i | 0.326615 | − | 1.85233i | ||||
\(262\) | −2.24601 | − | 12.7377i | −0.138759 | − | 0.786940i | ||||
\(263\) | −0.0138755 | + | 0.00505025i | −0.000855598 | + | 0.000311412i | −0.342448 | − | 0.939537i | \(-0.611256\pi\) |
0.341592 | + | 0.939848i | \(0.389034\pi\) | |||||||
\(264\) | −0.158128 | − | 0.132685i | −0.00973209 | − | 0.00816619i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 4.43530 | + | 6.68625i | 0.271946 | + | 0.409960i | ||||
\(267\) | 0.110330 | 0.00675208 | ||||||||
\(268\) | −2.39061 | − | 2.00596i | −0.146030 | − | 0.122533i | ||||
\(269\) | 11.7330 | − | 4.27045i | 0.715371 | − | 0.260374i | 0.0414116 | − | 0.999142i | \(-0.486815\pi\) |
0.673959 | + | 0.738768i | \(0.264592\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −0.0730874 | + | 0.414500i | −0.00443975 | + | 0.0251791i | −0.986947 | − | 0.161044i | \(-0.948514\pi\) |
0.982507 | + | 0.186224i | \(0.0596249\pi\) | |||||||
\(272\) | 6.41119 | + | 2.33348i | 0.388735 | + | 0.141488i | ||||
\(273\) | −0.238040 | − | 0.412297i | −0.0144068 | − | 0.0249534i | ||||
\(274\) | −1.32508 | + | 2.29511i | −0.0800511 | + | 0.138653i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −0.524412 | + | 0.440033i | −0.0315659 | + | 0.0264869i | ||||
\(277\) | 15.2888 | − | 26.4810i | 0.918616 | − | 1.59109i | 0.117098 | − | 0.993120i | \(-0.462641\pi\) |
0.801519 | − | 0.597970i | \(-0.204026\pi\) | |||||||
\(278\) | −5.76604 | − | 9.98707i | −0.345824 | − | 0.598985i | ||||
\(279\) | 13.6035 | + | 4.95128i | 0.814422 | + | 0.296425i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 1.92284 | + | 10.9050i | 0.114707 | + | 0.650537i | 0.986895 | + | 0.161365i | \(0.0515897\pi\) |
−0.872188 | + | 0.489172i | \(0.837299\pi\) | |||||||
\(282\) | −0.788195 | + | 0.286880i | −0.0469363 | + | 0.0170834i | ||||
\(283\) | 0.610978 | + | 0.512672i | 0.0363189 | + | 0.0304752i | 0.660766 | − | 0.750592i | \(-0.270231\pi\) |
−0.624448 | + | 0.781067i | \(0.714676\pi\) | |||||||
\(284\) | −11.1764 | −0.663198 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 7.34074 | 0.434067 | ||||||||
\(287\) | 8.12621 | + | 6.81870i | 0.479675 | + | 0.402495i | ||||
\(288\) | −2.81224 | + | 1.02357i | −0.165713 | + | 0.0603146i | ||||
\(289\) | 5.13104 | + | 29.0996i | 0.301826 | + | 1.71174i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −0.657221 | − | 0.239209i | −0.0385270 | − | 0.0140227i | ||||
\(292\) | −3.90414 | − | 6.76218i | −0.228473 | − | 0.395726i | ||||
\(293\) | 6.86939 | − | 11.8981i | 0.401314 | − | 0.695096i | −0.592571 | − | 0.805518i | \(-0.701887\pi\) |
0.993885 | + | 0.110422i | \(0.0352203\pi\) | |||||||
\(294\) | 0.235948 | − | 0.197984i | 0.0137608 | − | 0.0115466i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 0.101069 | − | 0.175057i | 0.00587454 | − | 0.0101750i | ||||
\(297\) | 0.618513 | + | 1.07130i | 0.0358897 | + | 0.0621628i | ||||
\(298\) | −11.4325 | − | 4.16108i | −0.662266 | − | 0.241045i | ||||
\(299\) | 4.22741 | − | 23.9748i | 0.244477 | − | 1.38650i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −3.63807 | + | 1.32415i | −0.209695 | + | 0.0763226i | ||||
\(302\) | −13.3767 | − | 11.2244i | −0.769744 | − | 0.645892i | ||||
\(303\) | 0.681898 | 0.0391740 | ||||||||
\(304\) | 1.94097 | − | 3.90290i | 0.111322 | − | 0.223847i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −15.6413 | − | 13.1246i | −0.894156 | − | 0.750286i | ||||
\(307\) | 0.624954 | − | 0.227465i | 0.0356680 | − | 0.0129821i | −0.324125 | − | 0.946014i | \(-0.605070\pi\) |
0.359793 | + | 0.933032i | \(0.382847\pi\) | |||||||
\(308\) | −0.773685 | − | 4.38779i | −0.0440848 | − | 0.250017i | ||||
\(309\) | −0.0502556 | + | 0.285014i | −0.00285894 | + | 0.0162139i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 14.2653 | + | 24.7083i | 0.808913 | + | 1.40108i | 0.913617 | + | 0.406576i | \(0.133277\pi\) |
−0.104704 | + | 0.994503i | \(0.533389\pi\) | |||||||
\(312\) | −0.129318 | + | 0.223985i | −0.00732118 | + | 0.0126807i | ||||
\(313\) | −7.65401 | + | 6.42248i | −0.432630 | + | 0.363020i | −0.832943 | − | 0.553359i | \(-0.813346\pi\) |
0.400313 | + | 0.916379i | \(0.368901\pi\) | |||||||
\(314\) | −17.1985 | + | 14.4312i | −0.970565 | + | 0.814401i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −5.25266 | − | 9.09787i | −0.295485 | − | 0.511795i | ||||
\(317\) | −10.9305 | − | 3.97837i | −0.613918 | − | 0.223448i | 0.0162989 | − | 0.999867i | \(-0.494812\pi\) |
−0.630217 | + | 0.776419i | \(0.717034\pi\) | |||||||
\(318\) | 0.0928861 | − | 0.526784i | 0.00520880 | − | 0.0295406i | ||||
\(319\) | −4.26768 | − | 24.2032i | −0.238944 | − | 1.35512i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −0.753468 | − | 0.632235i | −0.0420545 | − | 0.0352879i | ||||
\(322\) | −14.7761 | −0.823437 | ||||||||
\(323\) | 29.6819 | − | 1.84567i | 1.65154 | − | 0.102696i | ||||
\(324\) | 8.93460 | 0.496367 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 8.93485 | − | 3.25202i | 0.494856 | − | 0.180113i | ||||
\(327\) | −0.159893 | − | 0.906800i | −0.00884212 | − | 0.0501462i | ||||
\(328\) | 1.00072 | − | 5.67537i | 0.0552555 | − | 0.313370i | ||||
\(329\) | −17.0127 | − | 6.19213i | −0.937942 | − | 0.341383i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −12.5884 | + | 21.8037i | −0.691919 | + | 1.19844i | 0.279290 | + | 0.960207i | \(0.409901\pi\) |
−0.971208 | + | 0.238231i | \(0.923432\pi\) | |||||||
\(332\) | −9.77028 | + | 8.19824i | −0.536214 | + | 0.449937i | ||||
\(333\) | −0.463416 | + | 0.388852i | −0.0253950 | + | 0.0213090i | ||||
\(334\) | −0.137147 | + | 0.237546i | −0.00750435 | + | 0.0129979i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0.147512 | + | 0.0536901i | 0.00804746 | + | 0.00292904i | ||||
\(337\) | 0.245540 | − | 1.39253i | 0.0133754 | − | 0.0758559i | −0.977389 | − | 0.211447i | \(-0.932182\pi\) |
0.990765 | + | 0.135591i | \(0.0432934\pi\) | |||||||
\(338\) | 0.660281 | + | 3.74464i | 0.0359146 | + | 0.203682i | ||||
\(339\) | 0.954338 | − | 0.347351i | 0.0518325 | − | 0.0188655i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 11.7085 | 0.634051 | ||||||||
\(342\) | −9.45338 | + | 8.98918i | −0.511180 | + | 0.486079i | ||||
\(343\) | 19.5333 | 1.05470 | ||||||||
\(344\) | 1.61119 | + | 1.35195i | 0.0868697 | + | 0.0728923i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 2.02984 | + | 11.5118i | 0.109125 | + | 0.618878i | ||||
\(347\) | −5.57910 | + | 31.6406i | −0.299502 | + | 1.69856i | 0.348818 | + | 0.937190i | \(0.386583\pi\) |
−0.648320 | + | 0.761368i | \(0.724528\pi\) | |||||||
\(348\) | 0.813685 | + | 0.296157i | 0.0436181 | + | 0.0158757i | ||||
\(349\) | 0.908473 | + | 1.57352i | 0.0486295 | + | 0.0842287i | 0.889316 | − | 0.457294i | \(-0.151181\pi\) |
−0.840686 | + | 0.541523i | \(0.817848\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 1.18732 | − | 0.996278i | 0.0633743 | − | 0.0531774i | ||||
\(352\) | −1.85420 | + | 1.55586i | −0.0988292 | + | 0.0829275i | ||||
\(353\) | −13.5160 | + | 23.4104i | −0.719385 | + | 1.24601i | 0.241859 | + | 0.970311i | \(0.422243\pi\) |
−0.961244 | + | 0.275699i | \(0.911091\pi\) | |||||||
\(354\) | −0.257311 | − | 0.445675i | −0.0136759 | − | 0.0236874i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 0.224653 | − | 1.27407i | 0.0119066 | − | 0.0675256i | ||||
\(357\) | 0.185980 | + | 1.05474i | 0.00984309 | + | 0.0558230i | ||||
\(358\) | −15.4567 | + | 5.62579i | −0.816914 | + | 0.297332i | ||||
\(359\) | 17.9055 | + | 15.0245i | 0.945017 | + | 0.792963i | 0.978451 | − | 0.206478i | \(-0.0662001\pi\) |
−0.0334346 | + | 0.999441i | \(0.510645\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0.955856 | − | 18.9759i | 0.0503082 | − | 0.998734i | ||||
\(362\) | 21.9553 | 1.15395 | ||||||||
\(363\) | −0.335872 | − | 0.281830i | −0.0176287 | − | 0.0147922i | ||||
\(364\) | −5.24583 | + | 1.90933i | −0.274956 | + | 0.100076i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −0.0632664 | + | 0.358802i | −0.00330699 | + | 0.0187549i | ||||
\(367\) | 7.40612 | + | 2.69561i | 0.386596 | + | 0.140710i | 0.528004 | − | 0.849242i | \(-0.322941\pi\) |
−0.141408 | + | 0.989951i | \(0.545163\pi\) | |||||||
\(368\) | 4.01363 | + | 6.95180i | 0.209225 | + | 0.362388i | ||||
\(369\) | −8.62342 | + | 14.9362i | −0.448917 | + | 0.777548i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 8.84453 | − | 7.42144i | 0.459185 | − | 0.385302i | ||||
\(372\) | −0.206262 | + | 0.357257i | −0.0106942 | + | 0.0185229i | ||||
\(373\) | 6.85652 | + | 11.8758i | 0.355017 | + | 0.614907i | 0.987121 | − | 0.159976i | \(-0.0511418\pi\) |
−0.632104 | + | 0.774884i | \(0.717808\pi\) | |||||||
\(374\) | −15.5182 | − | 5.64816i | −0.802427 | − | 0.292059i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 1.70792 | + | 9.68608i | 0.0880791 | + | 0.499522i | ||||
\(377\) | −28.9362 | + | 10.5319i | −1.49029 | + | 0.542422i | ||||
\(378\) | −0.720645 | − | 0.604693i | −0.0370660 | − | 0.0311020i | ||||
\(379\) | −14.9079 | −0.765766 | −0.382883 | − | 0.923797i | \(-0.625069\pi\) | ||||
−0.382883 | + | 0.923797i | \(0.625069\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0.407942 | 0.0208995 | ||||||||
\(382\) | 3.71453 | + | 3.11686i | 0.190052 | + | 0.159473i | ||||
\(383\) | 9.48923 | − | 3.45380i | 0.484877 | − | 0.176481i | −0.0880027 | − | 0.996120i | \(-0.528048\pi\) |
0.572880 | + | 0.819639i | \(0.305826\pi\) | |||||||
\(384\) | −0.0148089 | − | 0.0839852i | −0.000755711 | − | 0.00428585i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 9.24069 | + | 3.36334i | 0.470339 | + | 0.171189i | ||||
\(387\) | −3.14725 | − | 5.45119i | −0.159983 | − | 0.277099i | ||||
\(388\) | −4.10057 | + | 7.10240i | −0.208175 | + | 0.360570i | ||||
\(389\) | 4.69733 | − | 3.94153i | 0.238164 | − | 0.199844i | −0.515891 | − | 0.856654i | \(-0.672539\pi\) |
0.754056 | + | 0.656810i | \(0.228095\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −27.3835 | + | 47.4297i | −1.38485 | + | 2.39862i | ||||
\(392\) | −1.80585 | − | 3.12782i | −0.0912090 | − | 0.157979i | ||||
\(393\) | −1.03652 | − | 0.377262i | −0.0522855 | − | 0.0190304i | ||||
\(394\) | −1.70295 | + | 9.65793i | −0.0857936 | + | 0.486560i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 6.80700 | − | 2.47754i | 0.342064 | − | 0.124501i | ||||
\(397\) | 1.19313 | + | 1.00116i | 0.0598817 | + | 0.0502467i | 0.672237 | − | 0.740336i | \(-0.265333\pi\) |
−0.612356 | + | 0.790582i | \(0.709778\pi\) | |||||||
\(398\) | −1.38511 | −0.0694293 | ||||||||
\(399\) | 0.682939 | − | 0.0424663i | 0.0341897 | − | 0.00212597i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −27.4561 | − | 23.0384i | −1.37109 | − | 1.15048i | −0.972379 | − | 0.233409i | \(-0.925012\pi\) |
−0.398715 | − | 0.917075i | \(-0.630544\pi\) | |||||||
\(402\) | −0.250087 | + | 0.0910244i | −0.0124732 | + | 0.00453988i | ||||
\(403\) | −2.54745 | − | 14.4473i | −0.126898 | − | 0.719672i | ||||
\(404\) | 1.38847 | − | 7.87443i | 0.0690792 | − | 0.391768i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 9.34503 | + | 16.1861i | 0.463786 | + | 0.803301i | ||||
\(407\) | −0.244637 | + | 0.423724i | −0.0121262 | + | 0.0210032i | ||||
\(408\) | 0.445716 | − | 0.374000i | 0.0220662 | − | 0.0185158i | ||||
\(409\) | −26.8662 | + | 22.5434i | −1.32845 | + | 1.11470i | −0.344013 | + | 0.938965i | \(0.611786\pi\) |
−0.984437 | + | 0.175737i | \(0.943769\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0.113004 | + | 0.195729i | 0.00557408 | + | 0.00965459i | ||||
\(412\) | 3.18896 | + | 1.16069i | 0.157109 | + | 0.0571829i | ||||
\(413\) | 1.92885 | − | 10.9390i | 0.0949124 | − | 0.538275i | ||||
\(414\) | −4.17162 | − | 23.6584i | −0.205024 | − | 1.16275i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 2.32322 | + | 1.94942i | 0.113905 | + | 0.0955780i | ||||
\(417\) | −0.983465 | −0.0481605 | ||||||||
\(418\) | −4.69809 | + | 9.44692i | −0.229791 | + | 0.462064i | ||||
\(419\) | 12.6047 | 0.615780 | 0.307890 | − | 0.951422i | \(-0.400377\pi\) | ||||
0.307890 | + | 0.951422i | \(0.400377\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −25.0875 | + | 9.13109i | −1.22269 | + | 0.445022i | −0.871088 | − | 0.491128i | \(-0.836585\pi\) |
−0.351601 | + | 0.936150i | \(0.614363\pi\) | |||||||
\(422\) | 0.821042 | + | 4.65636i | 0.0399677 | + | 0.226668i | ||||
\(423\) | 5.11133 | − | 28.9878i | 0.248521 | − | 1.40944i | ||||
\(424\) | −5.89407 | − | 2.14527i | −0.286241 | − | 0.104183i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −0.476567 | + | 0.825438i | −0.0230897 | + | 0.0399926i | ||||
\(427\) | −6.02417 | + | 5.05488i | −0.291530 | + | 0.244623i | ||||
\(428\) | −8.83515 | + | 7.41357i | −0.427063 | + | 0.358348i | ||||
\(429\) | 0.313012 | − | 0.542153i | 0.0151124 | − | 0.0261754i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −7.61810 | − | 2.77276i | −0.366951 | − | 0.133559i | 0.151962 | − | 0.988386i | \(-0.451441\pi\) |
−0.518913 | + | 0.854827i | \(0.673663\pi\) | |||||||
\(432\) | −0.0887454 | + | 0.503300i | −0.00426977 | + | 0.0242151i | ||||
\(433\) | −3.96602 | − | 22.4924i | −0.190595 | − | 1.08092i | −0.918554 | − | 0.395296i | \(-0.870642\pi\) |
0.727959 | − | 0.685620i | \(-0.240469\pi\) | |||||||
\(434\) | −8.36712 | + | 3.04538i | −0.401635 | + | 0.146183i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −10.7971 | −0.517089 | ||||||||
\(437\) | 28.1481 | + | 20.7843i | 1.34650 | + | 0.994247i | ||||
\(438\) | −0.665897 | −0.0318178 | ||||||||
\(439\) | −10.8652 | − | 9.11699i | −0.518568 | − | 0.435130i | 0.345564 | − | 0.938395i | \(-0.387688\pi\) |
−0.864132 | + | 0.503265i | \(0.832132\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 1.87693 | + | 10.6446i | 0.0893776 | + | 0.506886i | ||||
\(442\) | −3.59302 | + | 20.3770i | −0.170903 | + | 0.969237i | ||||
\(443\) | 29.5868 | + | 10.7687i | 1.40571 | + | 0.511637i | 0.929868 | − | 0.367894i | \(-0.119921\pi\) |
0.475843 | + | 0.879530i | \(0.342143\pi\) | |||||||
\(444\) | −0.00861928 | − | 0.0149290i | −0.000409053 | − | 0.000708501i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 19.8394 | − | 16.6473i | 0.939425 | − | 0.788271i | ||||
\(447\) | −0.794804 | + | 0.666920i | −0.0375929 | + | 0.0315442i | ||||
\(448\) | 0.920368 | − | 1.59412i | 0.0434833 | − | 0.0753153i | ||||
\(449\) | 13.6115 | + | 23.5758i | 0.642366 | + | 1.11261i | 0.984903 | + | 0.173106i | \(0.0553804\pi\) |
−0.342537 | + | 0.939504i | \(0.611286\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −2.42223 | + | 13.7371i | −0.114058 | + | 0.646857i | ||||
\(452\) | −2.06793 | − | 11.7278i | −0.0972671 | − | 0.551629i | ||||
\(453\) | −1.39937 | + | 0.509329i | −0.0657482 | + | 0.0239304i | ||||
\(454\) | 8.44769 | + | 7.08845i | 0.396470 | + | 0.332678i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −0.205486 | − | 0.309772i | −0.00962278 | − | 0.0145064i | ||||
\(457\) | −27.4781 | −1.28537 | −0.642687 | − | 0.766129i | \(-0.722180\pi\) | ||||
−0.642687 | + | 0.766129i | \(0.722180\pi\) | |||||||
\(458\) | −18.5100 | − | 15.5317i | −0.864915 | − | 0.725750i | ||||
\(459\) | −3.27653 | + | 1.19256i | −0.152935 | + | 0.0556639i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 0.982759 | − | 5.57350i | 0.0457716 | − | 0.259584i | −0.953332 | − | 0.301925i | \(-0.902371\pi\) |
0.999103 | + | 0.0423415i | \(0.0134817\pi\) | |||||||
\(462\) | −0.357052 | − | 0.129956i | −0.0166116 | − | 0.00604611i | ||||
\(463\) | 11.0325 | + | 19.1089i | 0.512726 | + | 0.888067i | 0.999891 | + | 0.0147575i | \(0.00469762\pi\) |
−0.487165 | + | 0.873310i | \(0.661969\pi\) | |||||||
\(464\) | 5.07679 | − | 8.79325i | 0.235684 | − | 0.408217i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −15.2434 | + | 12.7907i | −0.706137 | + | 0.592519i | ||||
\(467\) | −10.6841 | + | 18.5055i | −0.494403 | + | 0.856331i | −0.999979 | − | 0.00645068i | \(-0.997947\pi\) |
0.505576 | + | 0.862782i | \(0.331280\pi\) | |||||||
\(468\) | −4.53810 | − | 7.86022i | −0.209774 | − | 0.363339i | ||||
\(469\) | −5.39799 | − | 1.96471i | −0.249256 | − | 0.0907218i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0.332474 | + | 1.88555i | 0.0153196 | + | 0.0868816i | ||||
\(472\) | −5.67051 | + | 2.06390i | −0.261006 | + | 0.0949986i | ||||
\(473\) | −3.89987 | − | 3.27238i | −0.179316 | − | 0.150464i | ||||
\(474\) | −0.895901 | −0.0411501 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 12.5587 | 0.575626 | ||||||||
\(477\) | 14.3797 | + | 12.0660i | 0.658402 | + | 0.552465i | ||||
\(478\) | 16.9192 | − | 6.15807i | 0.773865 | − | 0.281664i | ||||
\(479\) | −3.34220 | − | 18.9545i | −0.152709 | − | 0.866055i | −0.960851 | − | 0.277067i | \(-0.910638\pi\) |
0.808142 | − | 0.588988i | \(-0.200474\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.576067 | + | 0.209671i | 0.0262664 | + | 0.00956018i | ||||
\(482\) | −4.41711 | − | 7.65066i | −0.201194 | − | 0.348478i | ||||
\(483\) | −0.630057 | + | 1.09129i | −0.0286686 | + | 0.0496554i | ||||
\(484\) | −3.93842 | + | 3.30473i | −0.179019 | + | 0.150215i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 1.14757 | − | 1.98765i | 0.0520549 | − | 0.0901618i | ||||
\(487\) | 7.35793 | + | 12.7443i | 0.333420 | + | 0.577500i | 0.983180 | − | 0.182639i | \(-0.0584641\pi\) |
−0.649760 | + | 0.760139i | \(0.725131\pi\) | |||||||
\(488\) | 4.01456 | + | 1.46118i | 0.181730 | + | 0.0661445i | ||||
\(489\) | 0.140807 | − | 0.798554i | 0.00636750 | − | 0.0361119i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −37.0504 | + | 13.4853i | −1.67206 | + | 0.608581i | −0.992189 | − | 0.124748i | \(-0.960188\pi\) |
−0.679874 | + | 0.733329i | \(0.737966\pi\) | |||||||
\(492\) | −0.376485 | − | 0.315908i | −0.0169733 | − | 0.0142423i | ||||
\(493\) | 69.2742 | 3.11995 | ||||||||
\(494\) | 12.6789 | + | 3.74166i | 0.570450 | + | 0.168345i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 3.70555 | + | 3.10933i | 0.166384 | + | 0.139613i | ||||
\(497\) | −19.3321 | + | 7.03632i | −0.867165 | + | 0.315622i | ||||
\(498\) | 0.188875 | + | 1.07116i | 0.00846370 | + | 0.0480000i | ||||
\(499\) | −0.814770 | + | 4.62079i | −0.0364741 | + | 0.206855i | −0.997599 | − | 0.0692604i | \(-0.977936\pi\) |
0.961125 | + | 0.276115i | \(0.0890472\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0.0116960 | + | 0.0202581i | 0.000522539 | + | 0.000905064i | ||||
\(502\) | −7.14238 | + | 12.3710i | −0.318780 | + | 0.552143i | ||||
\(503\) | −6.66619 | + | 5.59360i | −0.297231 | + | 0.249406i | −0.779191 | − | 0.626787i | \(-0.784370\pi\) |
0.481960 | + | 0.876193i | \(0.339925\pi\) | |||||||
\(504\) | −4.22000 | + | 3.54100i | −0.187974 | + | 0.157729i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −9.71493 | − | 16.8267i | −0.431881 | − | 0.748040i | ||||
\(507\) | 0.304717 | + | 0.110908i | 0.0135329 | + | 0.00492559i | ||||
\(508\) | 0.830649 | − | 4.71085i | 0.0368541 | − | 0.209010i | ||||
\(509\) | 0.971085 | + | 5.50730i | 0.0430426 | + | 0.244107i | 0.998736 | − | 0.0502560i | \(-0.0160037\pi\) |
−0.955694 | + | 0.294363i | \(0.904893\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −11.0104 | − | 9.23879i | −0.487069 | − | 0.408700i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0.522240 | + | 2.16560i | 0.0230575 | + | 0.0956135i | ||||
\(514\) | −29.2882 | −1.29185 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0.168551 | − | 0.0613474i | 0.00742003 | − | 0.00270067i | ||||
\(517\) | −4.13399 | − | 23.4450i | −0.181813 | − | 1.03111i | ||||
\(518\) | 0.0646118 | − | 0.366431i | 0.00283888 | − | 0.0161001i | ||||
\(519\) | 0.936762 | + | 0.340953i | 0.0411193 | + | 0.0149662i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −5.52450 | + | 9.56871i | −0.242033 | + | 0.419213i | −0.961293 | − | 0.275528i | \(-0.911147\pi\) |
0.719261 | + | 0.694740i | \(0.244481\pi\) | |||||||
\(522\) | −23.2777 | + | 19.5323i | −1.01884 | + | 0.854906i | ||||
\(523\) | −28.3456 | + | 23.7848i | −1.23947 | + | 1.04004i | −0.241900 | + | 0.970301i | \(0.577771\pi\) |
−0.997566 | + | 0.0697344i | \(0.977785\pi\) | |||||||
\(524\) | −6.46712 | + | 11.2014i | −0.282517 | + | 0.489334i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0.0138755 | + | 0.00505025i | 0.000604999 | + | 0.000220202i | ||||
\(527\) | −5.73089 | + | 32.5015i | −0.249641 | + | 1.41579i | ||||
\(528\) | 0.0358446 | + | 0.203285i | 0.00155994 | + | 0.00884685i | ||||
\(529\) | −38.9378 | + | 14.1722i | −1.69295 | + | 0.616183i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 18.0594 | 0.783712 | ||||||||
\(532\) | 0.900202 | − | 7.97292i | 0.0390287 | − | 0.345670i | ||||
\(533\) | 17.4775 | 0.757035 | ||||||||
\(534\) | −0.0845176 | − | 0.0709187i | −0.00365743 | − | 0.00306895i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 0.541907 | + | 3.07331i | 0.0234068 | + | 0.132747i | ||||
\(537\) | −0.243587 | + | 1.38145i | −0.0105115 | + | 0.0596139i | ||||
\(538\) | −11.7330 | − | 4.27045i | −0.505844 | − | 0.184112i | ||||
\(539\) | 4.37102 | + | 7.57084i | 0.188273 | + | 0.326099i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 27.5155 | − | 23.0883i | 1.18299 | − | 0.992643i | 0.183031 | − | 0.983107i | \(-0.441409\pi\) |
0.999955 | − | 0.00953567i | \(-0.00303534\pi\) | |||||||
\(542\) | 0.322423 | − | 0.270545i | 0.0138493 | − | 0.0116209i | ||||
\(543\) | 0.936184 | − | 1.62152i | 0.0401755 | − | 0.0695860i | ||||
\(544\) | −3.41132 | − | 5.90858i | −0.146259 | − | 0.253328i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −0.0826704 | + | 0.468847i | −0.00353797 | + | 0.0200648i | ||||
\(547\) | −4.63156 | − | 26.2669i | −0.198031 | − | 1.12309i | −0.908036 | − | 0.418893i | \(-0.862418\pi\) |
0.710005 | − | 0.704197i | \(-0.248693\pi\) | |||||||
\(548\) | 2.49034 | − | 0.906409i | 0.106382 | − | 0.0387199i | ||||
\(549\) | −9.79429 | − | 8.21838i | −0.418010 | − | 0.350752i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 4.96555 | − | 43.9790i | 0.211540 | − | 1.87357i | ||||
\(552\) | 0.684571 | 0.0291373 | ||||||||
\(553\) | −14.8134 | − | 12.4299i | −0.629929 | − | 0.528573i | ||||
\(554\) | −28.7336 | + | 10.4582i | −1.22077 | + | 0.444325i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −2.00252 | + | 11.3569i | −0.0849260 | + | 0.481639i | ||||
\(557\) | −12.3655 | − | 4.50069i | −0.523945 | − | 0.190700i | 0.0664876 | − | 0.997787i | \(-0.478821\pi\) |
−0.590433 | + | 0.807087i | \(0.701043\pi\) | |||||||
\(558\) | −7.23829 | − | 12.5371i | −0.306421 | − | 0.530737i | ||||
\(559\) | −3.18934 | + | 5.52409i | −0.134895 | + | 0.233644i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −1.07885 | + | 0.905262i | −0.0455490 | + | 0.0382202i | ||||
\(562\) | 5.53661 | − | 9.58968i | 0.233548 | − | 0.404516i | ||||
\(563\) | −9.12041 | − | 15.7970i | −0.384379 | − | 0.665765i | 0.607304 | − | 0.794470i | \(-0.292251\pi\) |
−0.991683 | + | 0.128705i | \(0.958918\pi\) | |||||||
\(564\) | 0.788195 | + | 0.286880i | 0.0331890 | + | 0.0120798i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −0.138497 | − | 0.785458i | −0.00582148 | − | 0.0330153i | ||||
\(567\) | 15.4544 | − | 5.62494i | 0.649024 | − | 0.236225i | ||||
\(568\) | 8.56163 | + | 7.18406i | 0.359238 | + | 0.301436i | ||||
\(569\) | 27.5994 | 1.15703 | 0.578514 | − | 0.815672i | \(-0.303633\pi\) | ||||
0.578514 | + | 0.815672i | \(0.303633\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 29.8138 | 1.24767 | 0.623835 | − | 0.781556i | \(-0.285574\pi\) | ||||
0.623835 | + | 0.781556i | \(0.285574\pi\) | |||||||
\(572\) | −5.62333 | − | 4.71854i | −0.235123 | − | 0.197292i | ||||
\(573\) | 0.388586 | − | 0.141434i | 0.0162334 | − | 0.00590848i | ||||
\(574\) | −1.84206 | − | 10.4468i | −0.0768862 | − | 0.436043i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 2.81224 | + | 1.02357i | 0.117177 | + | 0.0426489i | ||||
\(577\) | −7.15498 | − | 12.3928i | −0.297866 | − | 0.515918i | 0.677782 | − | 0.735263i | \(-0.262941\pi\) |
−0.975647 | + | 0.219345i | \(0.929608\pi\) | |||||||
\(578\) | 14.7742 | − | 25.5897i | 0.614527 | − | 1.06439i | ||||
\(579\) | 0.642427 | − | 0.539061i | 0.0266984 | − | 0.0224026i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −11.7386 | + | 20.3318i | −0.486997 | + | 0.843504i | ||||
\(582\) | 0.349700 | + | 0.605698i | 0.0144955 | + | 0.0251070i | ||||
\(583\) | 14.2665 | + | 5.19259i | 0.590859 | + | 0.215055i | ||||
\(584\) | −1.35590 | + | 7.68966i | −0.0561073 | + | 0.318201i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −12.9102 | + | 4.69894i | −0.533317 | + | 0.194111i | ||||
\(587\) | −4.38558 | − | 3.67994i | −0.181012 | − | 0.151887i | 0.547779 | − | 0.836623i | \(-0.315473\pi\) |
−0.728792 | + | 0.684735i | \(0.759918\pi\) | |||||||
\(588\) | −0.308008 | −0.0127020 | ||||||||
\(589\) | 20.2229 | + | 5.96796i | 0.833269 | + | 0.245906i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0.640675 | + | 0.537590i | 0.0263539 | + | 0.0221135i | ||||
\(592\) | −0.189948 | + | 0.0691356i | −0.00780683 | + | 0.00284145i | ||||
\(593\) | −1.89256 | − | 10.7332i | −0.0777182 | − | 0.440762i | −0.998692 | − | 0.0511364i | \(-0.983716\pi\) |
0.920974 | − | 0.389625i | \(-0.127395\pi\) | |||||||
\(594\) | 0.214807 | − | 1.21823i | 0.00881364 | − | 0.0499847i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 6.08310 | + | 10.5362i | 0.249173 | + | 0.431581i | ||||
\(597\) | −0.0590617 | + | 0.102298i | −0.00241723 | + | 0.00418677i | ||||
\(598\) | −18.6491 | + | 15.6485i | −0.762618 | + | 0.639913i | ||||
\(599\) | −8.33800 | + | 6.99641i | −0.340681 | + | 0.285866i | −0.797035 | − | 0.603933i | \(-0.793600\pi\) |
0.456354 | + | 0.889798i | \(0.349155\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −3.29773 | − | 5.71184i | −0.134517 | − | 0.232991i | 0.790896 | − | 0.611951i | \(-0.209615\pi\) |
−0.925413 | + | 0.378960i | \(0.876282\pi\) | |||||||
\(602\) | 3.63807 | + | 1.32415i | 0.148277 | + | 0.0539683i | ||||
\(603\) | 1.62178 | − | 9.19757i | 0.0660440 | − | 0.374554i | ||||
\(604\) | 3.03226 | + | 17.1968i | 0.123381 | + | 0.699727i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −0.522364 | − | 0.438315i | −0.0212196 | − | 0.0178053i | ||||
\(607\) | 8.03380 | 0.326082 | 0.163041 | − | 0.986619i | \(-0.447870\pi\) | ||||
0.163041 | + | 0.986619i | \(0.447870\pi\) | |||||||
\(608\) | −3.99561 | + | 1.74216i | −0.162043 | + | 0.0706541i | ||||
\(609\) | 1.59390 | 0.0645882 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −28.0298 | + | 10.2020i | −1.13396 | + | 0.412729i | ||||
\(612\) | 3.54560 | + | 20.1081i | 0.143322 | + | 0.812822i | ||||
\(613\) | 2.52835 | − | 14.3390i | 0.102119 | − | 0.579145i | −0.890213 | − | 0.455544i | \(-0.849445\pi\) |
0.992332 | − | 0.123601i | \(-0.0394443\pi\) | |||||||
\(614\) | −0.624954 | − | 0.227465i | −0.0252211 | − | 0.00917973i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −2.22774 | + | 3.85856i | −0.0897581 | + | 0.155466i | ||||
\(617\) | 4.72364 | − | 3.96361i | 0.190167 | − | 0.159569i | −0.542734 | − | 0.839905i | \(-0.682611\pi\) |
0.732900 | + | 0.680336i | \(0.238166\pi\) | |||||||
\(618\) | 0.221701 | − | 0.186030i | 0.00891814 | − | 0.00748321i | ||||
\(619\) | −5.14294 | + | 8.90783i | −0.206712 | + | 0.358036i | −0.950677 | − | 0.310183i | \(-0.899610\pi\) |
0.743965 | + | 0.668219i | \(0.232943\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −3.85504 | − | 1.40312i | −0.154697 | − | 0.0563052i | ||||
\(622\) | 4.95430 | − | 28.0972i | 0.198649 | − | 1.12660i | ||||
\(623\) | −0.413527 | − | 2.34523i | −0.0165676 | − | 0.0939595i | ||||
\(624\) | 0.243038 | − | 0.0884586i | 0.00972931 | − | 0.00354118i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 9.99160 | 0.399345 | ||||||||
\(627\) | 0.497377 | + | 0.749800i | 0.0198633 | + | 0.0299441i | ||||
\(628\) | 22.4510 | 0.895892 | ||||||||
\(629\) | −1.05647 | − | 0.886482i | −0.0421242 | − | 0.0353464i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −2.94657 | − | 16.7108i | −0.117301 | − | 0.665247i | −0.985585 | − | 0.169180i | \(-0.945888\pi\) |
0.868284 | − | 0.496067i | \(-0.165223\pi\) | |||||||
\(632\) | −1.82423 | + | 10.3457i | −0.0725639 | + | 0.411530i | ||||
\(633\) | 0.378907 | + | 0.137911i | 0.0150602 | + | 0.00548146i | ||||
\(634\) | 5.81599 | + | 10.0736i | 0.230983 | + | 0.400074i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −0.409765 | + | 0.343834i | −0.0162482 | + | 0.0136339i | ||||
\(637\) | 8.39077 | − | 7.04069i | 0.332454 | − | 0.278962i | ||||
\(638\) | −12.2883 | + | 21.2840i | −0.486498 | + | 0.842640i | ||||
\(639\) | −16.7240 | − | 28.9668i | −0.661590 | − | 1.14591i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −1.73562 | + | 9.84322i | −0.0685531 | + | 0.388784i | 0.931155 | + | 0.364623i | \(0.118802\pi\) |
−0.999708 | + | 0.0241602i | \(0.992309\pi\) | |||||||
\(642\) | 0.170797 | + | 0.968640i | 0.00674084 | + | 0.0382292i | ||||
\(643\) | −13.8304 | + | 5.03384i | −0.545417 | + | 0.198515i | −0.600009 | − | 0.799993i | \(-0.704836\pi\) |
0.0545923 | + | 0.998509i | \(0.482614\pi\) | |||||||
\(644\) | 11.3191 | + | 9.49786i | 0.446036 | + | 0.374268i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −23.9240 | − | 17.6653i | −0.941278 | − | 0.695031i | ||||
\(647\) | −21.6933 | −0.852852 | −0.426426 | − | 0.904522i | \(-0.640228\pi\) | ||||
−0.426426 | + | 0.904522i | \(0.640228\pi\) | |||||||
\(648\) | −6.84430 | − | 5.74305i | −0.268869 | − | 0.225608i | ||||
\(649\) | 13.7254 | − | 4.99564i | 0.538769 | − | 0.196096i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.131860 | + | 0.747813i | −0.00516799 | + | 0.0293091i | ||||
\(652\) | −8.93485 | − | 3.25202i | −0.349916 | − | 0.127359i | ||||
\(653\) | −0.299256 | − | 0.518327i | −0.0117108 | − | 0.0202837i | 0.860111 | − | 0.510108i | \(-0.170394\pi\) |
−0.871821 | + | 0.489824i | \(0.837061\pi\) | |||||||
\(654\) | −0.460395 | + | 0.797427i | −0.0180029 | + | 0.0311819i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −4.41465 | + | 3.70433i | −0.172363 | + | 0.144630i | ||||
\(657\) | 11.6840 | − | 20.2374i | 0.455838 | − | 0.789534i | ||||
\(658\) | 9.05228 | + | 15.6790i | 0.352895 | + | 0.611232i | ||||
\(659\) | −26.5885 | − | 9.67743i | −1.03574 | − | 0.376979i | −0.232478 | − | 0.972602i | \(-0.574683\pi\) |
−0.803265 | + | 0.595622i | \(0.796905\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 6.35248 | + | 36.0267i | 0.247083 | + | 1.40128i | 0.815605 | + | 0.578609i | \(0.196404\pi\) |
−0.568522 | + | 0.822668i | \(0.692485\pi\) | |||||||
\(662\) | 23.6584 | − | 8.61094i | 0.919509 | − | 0.334674i | ||||
\(663\) | 1.35175 | + | 1.13425i | 0.0524975 | + | 0.0440506i | ||||
\(664\) | 12.7542 | 0.494959 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0.604946 | 0.0234412 | ||||||||
\(667\) | 62.4367 | + | 52.3906i | 2.41756 | + | 2.02857i | ||||
\(668\) | 0.257752 | − | 0.0938141i | 0.00997273 | − | 0.00362978i | ||||
\(669\) | −0.383528 | − | 2.17509i | −0.0148280 | − | 0.0840940i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −9.71718 | − | 3.53676i | −0.375127 | − | 0.136535i | ||||
\(672\) | −0.0784897 | − | 0.135948i | −0.00302781 | − | 0.00524432i | ||||
\(673\) | −7.34858 | + | 12.7281i | −0.283267 | + | 0.490633i | −0.972187 | − | 0.234204i | \(-0.924752\pi\) |
0.688920 | + | 0.724837i | \(0.258085\pi\) | |||||||
\(674\) | −1.08320 | + | 0.908909i | −0.0417231 | + | 0.0350099i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 1.90120 | − | 3.29298i | 0.0731233 | − | 0.126653i | ||||
\(677\) | 11.7886 | + | 20.4185i | 0.453075 | + | 0.784748i | 0.998575 | − | 0.0533622i | \(-0.0169938\pi\) |
−0.545501 | + | 0.838110i | \(0.683660\pi\) | |||||||
\(678\) | −0.954338 | − | 0.347351i | −0.0366511 | − | 0.0133399i | ||||
\(679\) | −2.62142 | + | 14.8668i | −0.100601 | + | 0.570535i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0.883733 | − | 0.321653i | 0.0338647 | − | 0.0123258i | ||||
\(682\) | −8.96924 | − | 7.52608i | −0.343450 | − | 0.288189i | ||||
\(683\) | 5.85445 | 0.224014 | 0.112007 | − | 0.993707i | \(-0.464272\pi\) | ||||
0.112007 | + | 0.993707i | \(0.464272\pi\) | |||||||
\(684\) | 13.0198 | − | 0.809596i | 0.497826 | − | 0.0309557i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −14.9634 | − | 12.5558i | −0.571305 | − | 0.479382i | ||||
\(687\) | −1.93637 | + | 0.704783i | −0.0738773 | + | 0.0268891i | ||||
\(688\) | −0.365228 | − | 2.07131i | −0.0139242 | − | 0.0789679i | ||||
\(689\) | 3.30321 | − | 18.7335i | 0.125842 | − | 0.713688i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 4.81892 | + | 8.34661i | 0.183320 | + | 0.317520i | 0.943009 | − | 0.332767i | \(-0.107982\pi\) |
−0.759689 | + | 0.650287i | \(0.774649\pi\) | |||||||
\(692\) | 5.84470 | − | 10.1233i | 0.222182 | − | 0.384831i | ||||
\(693\) | 10.2145 | − | 8.57095i | 0.388015 | − | 0.325583i | ||||
\(694\) | 24.6120 | − | 20.6520i | 0.934261 | − | 0.783938i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −0.432953 | − | 0.749896i | −0.0164110 | − | 0.0284247i | ||||
\(697\) | −36.9471 | − | 13.4477i | −1.39947 | − | 0.509367i | ||||
\(698\) | 0.315510 | − | 1.78934i | 0.0119422 | − | 0.0677276i | ||||
\(699\) | 0.294679 | + | 1.67121i | 0.0111458 | + | 0.0632109i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 22.5409 | + | 18.9141i | 0.851358 | + | 0.714374i | 0.960088 | − | 0.279697i | \(-0.0902340\pi\) |
−0.108730 | + | 0.994071i | \(0.534678\pi\) | |||||||
\(702\) | −1.54993 | −0.0584984 | ||||||||
\(703\) | −0.638513 | + | 0.607160i | −0.0240820 | + | 0.0228995i | ||||
\(704\) | 2.42049 | 0.0912255 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 25.4018 | − | 9.24549i | 0.956009 | − | 0.347959i | ||||
\(707\) | −2.55582 | − | 14.4948i | −0.0961213 | − | 0.545131i | ||||
\(708\) | −0.0893630 | + | 0.506803i | −0.00335847 | + | 0.0190468i | ||||
\(709\) | 19.2050 | + | 6.99003i | 0.721257 | + | 0.262516i | 0.676459 | − | 0.736480i | \(-0.263513\pi\) |
0.0447979 | + | 0.998996i | \(0.485736\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 15.7198 | − | 27.2274i | 0.589537 | − | 1.02111i | ||||
\(712\) | −0.991050 | + | 0.831590i | −0.0371412 | + | 0.0311651i | ||||
\(713\) | −29.7454 | + | 24.9593i | −1.11397 | + | 0.934735i | ||||
\(714\) | 0.535507 | − | 0.927526i | 0.0200409 | − | 0.0347118i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 15.4567 | + | 5.62579i | 0.577646 | + | 0.210246i | ||||
\(717\) | 0.266634 | − | 1.51215i | 0.00995761 | − | 0.0564724i | ||||
\(718\) | −4.05885 | − | 23.0189i | −0.151475 | − | 0.859057i | ||||
\(719\) | −22.5450 | + | 8.20572i | −0.840788 | + | 0.306022i | −0.726279 | − | 0.687400i | \(-0.758752\pi\) |
−0.114509 | + | 0.993422i | \(0.536530\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 6.24676 | 0.232641 | ||||||||
\(722\) | −12.9297 | + | 13.9220i | −0.481195 | + | 0.518123i | ||||
\(723\) | −0.753390 | −0.0280189 | ||||||||
\(724\) | −16.8188 | − | 14.1126i | −0.625064 | − | 0.524491i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0.0761360 | + | 0.431789i | 0.00282567 | + | 0.0160252i | ||||
\(727\) | 4.81172 | − | 27.2886i | 0.178457 | − | 1.01208i | −0.755621 | − | 0.655010i | \(-0.772665\pi\) |
0.934078 | − | 0.357070i | \(-0.116224\pi\) | |||||||
\(728\) | 5.24583 | + | 1.90933i | 0.194423 | + | 0.0707644i | ||||
\(729\) | 13.3040 | + | 23.0433i | 0.492742 | + | 0.853454i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 10.9926 | − | 9.22388i | 0.406576 | − | 0.341158i | ||||
\(732\) | 0.279098 | − | 0.234191i | 0.0103158 | − | 0.00865595i | ||||
\(733\) | 3.26440 | − | 5.65411i | 0.120573 | − | 0.208839i | −0.799421 | − | 0.600772i | \(-0.794860\pi\) |
0.919994 | + | 0.391933i | \(0.128193\pi\) | |||||||
\(734\) | −3.94071 | − | 6.82552i | −0.145454 | − | 0.251934i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.39392 | − | 7.90530i | 0.0513805 | − | 0.291393i | ||||
\(737\) | −1.31168 | − | 7.43890i | −0.0483163 | − | 0.274015i | ||||
\(738\) | 16.2067 | − | 5.89877i | 0.596578 | − | 0.217137i | ||||
\(739\) | −10.5758 | − | 8.87419i | −0.389039 | − | 0.326442i | 0.427200 | − | 0.904157i | \(-0.359500\pi\) |
−0.816239 | + | 0.577715i | \(0.803945\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.816975 | − | 0.776858i | 0.0300123 | − | 0.0285386i | ||||
\(742\) | −11.5457 | −0.423857 | ||||||||
\(743\) | 7.03012 | + | 5.89897i | 0.257910 | + | 0.216412i | 0.762569 | − | 0.646906i | \(-0.223938\pi\) |
−0.504660 | + | 0.863318i | \(0.668382\pi\) | |||||||
\(744\) | 0.387647 | − | 0.141092i | 0.0142118 | − | 0.00517268i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 2.38124 | − | 13.5047i | 0.0871835 | − | 0.494442i | ||||
\(747\) | −35.8679 | − | 13.0549i | −1.31234 | − | 0.477652i | ||||
\(748\) | 8.25706 | + | 14.3016i | 0.301908 | + | 0.522920i | ||||
\(749\) | −10.6150 | + | 18.3858i | −0.387865 | + | 0.671802i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −17.8717 | + | 14.9961i | −0.652147 | + | 0.547216i | −0.907722 | − | 0.419573i | \(-0.862180\pi\) |
0.255574 | + | 0.966789i | \(0.417735\pi\) | |||||||
\(752\) | 4.91775 | − | 8.51780i | 0.179332 | − | 0.310612i | ||||
\(753\) | 0.609108 | + | 1.05501i | 0.0221971 | + | 0.0384466i | ||||
\(754\) | 28.9362 | + | 10.5319i | 1.05380 | + | 0.383550i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0.163357 | + | 0.926443i | 0.00594123 | + | 0.0336944i | ||||
\(757\) | 19.2741 | − | 7.01518i | 0.700527 | − | 0.254971i | 0.0328914 | − | 0.999459i | \(-0.489528\pi\) |
0.667636 | + | 0.744488i | \(0.267306\pi\) | |||||||
\(758\) | 11.4201 | + | 9.58260i | 0.414796 | + | 0.348056i | ||||
\(759\) | −1.65699 | −0.0601451 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 31.3821 | 1.13760 | 0.568800 | − | 0.822476i | \(-0.307408\pi\) | ||||
0.568800 | + | 0.822476i | \(0.307408\pi\) | |||||||
\(762\) | −0.312502 | − | 0.262220i | −0.0113208 | − | 0.00949924i | ||||
\(763\) | −18.6761 | + | 6.79755i | −0.676120 | + | 0.246088i | ||||
\(764\) | −0.842016 | − | 4.77531i | −0.0304631 | − | 0.172765i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −9.48923 | − | 3.45380i | −0.342860 | − | 0.124791i | ||||
\(767\) | −9.15047 | − | 15.8491i | −0.330404 | − | 0.572277i | ||||
\(768\) | −0.0426404 | + | 0.0738553i | −0.00153865 | + | 0.00266503i | ||||
\(769\) | −2.75633 | + | 2.31283i | −0.0993957 | + | 0.0834029i | −0.691131 | − | 0.722729i | \(-0.742887\pi\) |
0.591736 | + | 0.806132i | \(0.298443\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −1.24886 | + | 2.16309i | −0.0449766 | + | 0.0779017i | ||||
\(772\) | −4.91687 | − | 8.51627i | −0.176962 | − | 0.306507i | ||||
\(773\) | −13.5301 | − | 4.92456i | −0.486644 | − | 0.177124i | 0.0870330 | − | 0.996205i | \(-0.472261\pi\) |
−0.573677 | + | 0.819081i | \(0.694484\pi\) | |||||||
\(774\) | −1.09303 | + | 6.19886i | −0.0392880 | + | 0.222814i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 7.70655 | − | 2.80496i | 0.276649 | − | 0.100692i | ||||
\(777\) | −0.0243079 | − | 0.0203967i | −0.000872039 | − | 0.000731728i | ||||
\(778\) | −6.13194 | −0.219841 | ||||||||
\(779\) | −11.1856 | + | 22.4921i | −0.400767 | + | 0.805863i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −20.7233 | − | 17.3889i | −0.741538 | − | 0.622224i | ||||
\(782\) | 51.4642 | − | 18.7314i | 1.84036 | − | 0.669835i | ||||
\(783\) | 0.901084 | + | 5.11030i | 0.0322021 | + | 0.182627i | ||||
\(784\) | −0.627164 | + | 3.55682i | −0.0223987 | + | 0.127029i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0.551521 | + | 0.955262i | 0.0196721 | + | 0.0340731i | ||||
\(787\) | 24.4550 | − | 42.3573i | 0.871727 | − | 1.50988i | 0.0115176 | − | 0.999934i | \(-0.496334\pi\) |
0.860209 | − | 0.509941i | \(-0.170333\pi\) | |||||||
\(788\) | 7.51254 | − | 6.30377i | 0.267623 | − | 0.224562i | ||||
\(789\) | 0.000964644 | 0 | 0.000809432i | 3.43422e−5 | 0 | 2.88165e-5i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −10.9604 | − | 18.9840i | −0.389707 | − | 0.674993i | ||||
\(792\) | −6.80700 | − | 2.47754i | −0.241876 | − | 0.0880357i | ||||
\(793\) | −2.24988 | + | 12.7597i | −0.0798955 | + | 0.453110i | ||||
\(794\) | −0.270461 | − | 1.53386i | −0.00959832 | − | 0.0544348i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 1.06106 | + | 0.890332i | 0.0376082 | + | 0.0315570i | ||||
\(797\) | 1.34326 | 0.0475809 | 0.0237904 | − | 0.999717i | \(-0.492427\pi\) | ||||
0.0237904 | + | 0.999717i | \(0.492427\pi\) | |||||||
\(798\) | −0.550458 | − | 0.406453i | −0.0194860 | − | 0.0143883i | ||||
\(799\) | 67.1042 | 2.37397 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 3.63827 | − | 1.32422i | 0.128552 | − | 0.0467891i | ||||
\(802\) | 6.22380 | + | 35.2969i | 0.219770 | + | 1.24638i | ||||
\(803\) | 3.28193 | − | 18.6127i | 0.115817 | − | 0.656829i | ||||
\(804\) | 0.250087 | + | 0.0910244i | 0.00881990 | + | 0.00321018i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −7.33510 | + | 12.7048i | −0.258368 | + | 0.447506i | ||||
\(807\) | −0.815693 | + | 0.684448i | −0.0287138 | + | 0.0240937i | ||||
\(808\) | −6.12522 | + | 5.13967i | −0.215485 | + | 0.180813i | ||||
\(809\) | 14.2421 | − | 24.6681i | 0.500726 | − | 0.867283i | −0.499273 | − | 0.866445i | \(-0.666400\pi\) |
1.00000 | 0.000838933i | \(-0.000267041\pi\) | ||||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 47.3375 | + | 17.2294i | 1.66225 | + | 0.605008i | 0.990713 | − | 0.135968i | \(-0.0434144\pi\) |
0.671532 | + | 0.740976i | \(0.265637\pi\) | |||||||
\(812\) | 3.24549 | − | 18.4061i | 0.113894 | − | 0.645928i | ||||
\(813\) | −0.00623296 | − | 0.0353489i | −0.000218599 | − | 0.00123974i | ||||
\(814\) | 0.459767 | − | 0.167342i | 0.0161148 | − | 0.00586532i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −0.581841 | −0.0203685 | ||||||||
\(817\) | −5.06787 | − | 7.63985i | −0.177302 | − | 0.267284i | ||||
\(818\) | 35.0714 | 1.22624 | ||||||||
\(819\) | −12.7982 | − | 10.7390i | −0.447206 | − | 0.375250i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −7.36834 | − | 41.7879i | −0.257157 | − | 1.45841i | −0.790475 | − | 0.612494i | \(-0.790166\pi\) |
0.533318 | − | 0.845915i | \(-0.320945\pi\) | |||||||
\(822\) | 0.0392459 | − | 0.222575i | 0.00136886 | − | 0.00776318i | ||||
\(823\) | −47.1499 | − | 17.1612i | −1.64354 | − | 0.598201i | −0.655889 | − | 0.754857i | \(-0.727706\pi\) |
−0.987653 | + | 0.156656i | \(0.949928\pi\) | |||||||
\(824\) | −1.69681 | − | 2.93896i | −0.0591112 | − | 0.102384i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −8.50907 | + | 7.13995i | −0.296068 | + | 0.248431i | ||||
\(827\) | 1.42533 | − | 1.19599i | 0.0495635 | − | 0.0415887i | −0.617669 | − | 0.786438i | \(-0.711923\pi\) |
0.667233 | + | 0.744849i | \(0.267479\pi\) | |||||||
\(828\) | −12.0117 | + | 20.8049i | −0.417435 | + | 0.723019i | ||||
\(829\) | −9.83821 | − | 17.0403i | −0.341695 | − | 0.591833i | 0.643052 | − | 0.765822i | \(-0.277668\pi\) |
−0.984748 | + | 0.173989i | \(0.944334\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −0.452820 | + | 2.56807i | −0.0157082 | + | 0.0890854i | ||||
\(832\) | −0.526632 | − | 2.98668i | −0.0182577 | − | 0.103544i | ||||
\(833\) | −23.1552 | + | 8.42781i | −0.802281 | + | 0.292006i | ||||
\(834\) | 0.753378 | + | 0.632159i | 0.0260873 | + | 0.0218899i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 9.67131 | − | 4.21688i | 0.334489 | − | 0.145844i | ||||
\(837\) | −2.47215 | −0.0854500 | ||||||||
\(838\) | −9.65576 | − | 8.10214i | −0.333553 | − | 0.279884i | ||||
\(839\) | 43.1880 | − | 15.7191i | 1.49102 | − | 0.542685i | 0.537299 | − | 0.843392i | \(-0.319445\pi\) |
0.953717 | + | 0.300707i | \(0.0972225\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 12.8665 | − | 72.9694i | 0.443672 | − | 2.51619i | ||||
\(842\) | 25.0875 | + | 9.13109i | 0.864571 | + | 0.314678i | ||||
\(843\) | −0.472166 | − | 0.817816i | −0.0162623 | − | 0.0281671i | ||||
\(844\) | 2.36410 | − | 4.09473i | 0.0813755 | − | 0.140947i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −22.5485 | + | 18.9204i | −0.775234 | + | 0.650498i | ||||
\(847\) | −4.73184 | + | 8.19578i | −0.162588 | + | 0.281610i | ||||
\(848\) | 3.13617 | + | 5.43200i | 0.107696 | + | 0.186536i | ||||
\(849\) | −0.0639159 | − | 0.0232635i | −0.00219359 | − | 0.000798401i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −0.281765 | − | 1.59797i | −0.00965878 | − | 0.0547777i | ||||
\(852\) | 0.895653 | − | 0.325991i | 0.0306845 | − | 0.0111683i | ||||
\(853\) | 20.9800 | + | 17.6043i | 0.718340 | + | 0.602759i | 0.926926 | − | 0.375245i | \(-0.122441\pi\) |
−0.208585 | + | 0.978004i | \(0.566886\pi\) | |||||||
\(854\) | 7.86399 | 0.269100 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 11.5335 | 0.394206 | ||||||||
\(857\) | −14.3363 | − | 12.0296i | −0.489718 | − | 0.410922i | 0.364207 | − | 0.931318i | \(-0.381340\pi\) |
−0.853925 | + | 0.520396i | \(0.825784\pi\) | |||||||
\(858\) | −0.588270 | + | 0.214113i | −0.0200832 | + | 0.00730969i | ||||
\(859\) | 2.55291 | + | 14.4783i | 0.0871042 | + | 0.493993i | 0.996883 | + | 0.0788984i | \(0.0251403\pi\) |
−0.909778 | + | 0.415094i | \(0.863749\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −0.850102 | − | 0.309412i | −0.0289714 | − | 0.0105447i | ||||
\(862\) | 4.05351 | + | 7.02088i | 0.138063 | + | 0.239132i | ||||
\(863\) | −23.3533 | + | 40.4491i | −0.794956 | + | 1.37690i | 0.127912 | + | 0.991786i | \(0.459173\pi\) |
−0.922867 | + | 0.385118i | \(0.874161\pi\) | |||||||
\(864\) | 0.391498 | − | 0.328506i | 0.0133190 | − | 0.0111760i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −11.4197 | + | 19.7795i | −0.388057 | + | 0.672135i | ||||
\(867\) | −1.25996 | − | 2.18231i | −0.0427904 | − | 0.0741152i | ||||
\(868\) | 8.36712 | + | 3.04538i | 0.283999 | + | 0.103367i | ||||
\(869\) | 4.41552 | − | 25.0417i | 0.149786 | − | 0.849480i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −8.89360 | + | 3.23701i | −0.301348 | + | 0.109682i | ||||
\(872\) | 8.27109 | + | 6.94027i | 0.280095 | + | 0.235027i | ||||
\(873\) | −24.5438 | −0.830681 | ||||||||
\(874\) | −8.20279 | − | 34.0149i | −0.277463 | − | 1.15057i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0.510107 | + | 0.428031i | 0.0172349 | + | 0.0144618i | ||||
\(877\) | 20.3788 | − | 7.41727i | 0.688143 | − | 0.250463i | 0.0258029 | − | 0.999667i | \(-0.491786\pi\) |
0.662340 | + | 0.749204i | \(0.269564\pi\) | |||||||
\(878\) | 2.46294 | + | 13.9680i | 0.0831202 | + | 0.471398i | ||||
\(879\) | −0.203456 | + | 1.15385i | −0.00686239 | + | 0.0389185i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 15.2136 | + | 26.3508i | 0.512560 | + | 0.887780i | 0.999894 | + | 0.0145644i | \(0.00463615\pi\) |
−0.487334 | + | 0.873216i | \(0.662031\pi\) | |||||||
\(882\) | 5.40440 | − | 9.36070i | 0.181976 | − | 0.315191i | ||||
\(883\) | 42.5570 | − | 35.7095i | 1.43216 | − | 1.20172i | 0.487730 | − | 0.872994i | \(-0.337825\pi\) |
0.944425 | − | 0.328727i | \(-0.106620\pi\) | |||||||
\(884\) | 15.8505 | − | 13.3002i | 0.533111 | − | 0.447333i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −15.7428 | − | 27.2673i | −0.528890 | − | 0.916064i | ||||
\(887\) | 7.50631 | + | 2.73207i | 0.252037 | + | 0.0917340i | 0.464949 | − | 0.885337i | \(-0.346073\pi\) |
−0.212912 | + | 0.977071i | \(0.568295\pi\) | |||||||
\(888\) | −0.00299345 | + | 0.0169767i | −0.000100453 | + | 0.000569700i | ||||
\(889\) | −1.52901 | − | 8.67142i | −0.0512812 | − | 0.290830i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 16.5665 | + | 13.9010i | 0.555000 | + | 0.465700i | ||||
\(892\) | −25.8985 | −0.867147 | ||||||||
\(893\) | 4.81000 | − | 42.6013i | 0.160960 | − | 1.42560i | ||||
\(894\) | 1.03754 | 0.0347006 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −1.72973 | + | 0.629569i | −0.0577861 | + | 0.0210324i | ||||
\(897\) | 0.360517 | + | 2.04459i | 0.0120373 | + | 0.0682670i | ||||
\(898\) | 4.72722 | − | 26.8094i | 0.157749 | − | 0.894641i | ||||
\(899\) | 46.1534 | + | 16.7985i | 1.53930 | + | 0.560260i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −21.3970 | + | 37.0606i | −0.712836 | + | 1.23467i | ||||
\(902\) | 10.6856 | − | 8.96628i | 0.355792 | − | 0.298545i | ||||
\(903\) | 0.252924 | − | 0.212229i | 0.00841679 | − | 0.00706252i | ||||
\(904\) | −5.95436 | + | 10.3133i | −0.198039 | + | 0.343014i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 1.39937 | + | 0.509329i | 0.0464910 | + | 0.0169213i | ||||
\(907\) | −6.31036 | + | 35.7878i | −0.209532 | + | 1.18831i | 0.680615 | + | 0.732641i | \(0.261713\pi\) |
−0.890147 | + | 0.455674i | \(0.849398\pi\) | |||||||
\(908\) | −1.91494 | − | 10.8601i | −0.0635494 | − | 0.360406i | ||||
\(909\) | 22.4864 | − | 8.18440i | 0.745828 | − | 0.271459i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 55.1556 | 1.82739 | 0.913694 | − | 0.406404i | \(-0.133217\pi\) | ||||
0.913694 | + | 0.406404i | \(0.133217\pi\) | |||||||
\(912\) | −0.0417061 | + | 0.369383i | −0.00138103 | + | 0.0122315i | ||||
\(913\) | −30.8714 | −1.02169 | ||||||||
\(914\) | 21.0495 | + | 17.6626i | 0.696255 | + | 0.584227i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 4.19587 | + | 23.7960i | 0.138636 | + | 0.786241i | ||||
\(917\) | −4.13430 | + | 23.4468i | −0.136527 | + | 0.774282i | ||||
\(918\) | 3.27653 | + | 1.19256i | 0.108142 | + | 0.0393603i | ||||
\(919\) | −11.9007 | − | 20.6125i | −0.392566 | − | 0.679945i | 0.600221 | − | 0.799834i | \(-0.295079\pi\) |
−0.992787 | + | 0.119889i | \(0.961746\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −0.0434478 | + | 0.0364570i | −0.00143165 | + | 0.00120130i | ||||
\(922\) | −4.33542 | + | 3.63785i | −0.142779 | + | 0.119806i | ||||
\(923\) | −16.9476 | + | 29.3542i | −0.557839 | + | 0.966205i | ||||
\(924\) | 0.189983 | + | 0.329061i | 0.00624999 | + | 0.0108253i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 3.83156 | − | 21.7299i | 0.125913 | − | 0.714088i | ||||
\(927\) | 1.76360 | + | 10.0019i | 0.0579243 | + | 0.328505i | ||||
\(928\) | −9.54124 | + | 3.47273i | −0.313207 | + | 0.113998i | ||||
\(929\) | −39.8007 | − | 33.3968i | −1.30582 | − | 1.09571i | −0.989108 | − | 0.147191i | \(-0.952977\pi\) |
−0.316711 | − | 0.948522i | \(-0.602579\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 3.69067 | + | 15.3043i | 0.120957 | + | 0.501577i | ||||
\(932\) | 19.8988 | 0.651808 | ||||||||
\(933\) | −1.86388 | − | 1.56398i | −0.0610206 | − | 0.0512024i | ||||
\(934\) | 20.0796 | − | 7.30838i | 0.657025 | − | 0.239138i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −1.57607 | + | 8.93831i | −0.0515153 | + | 0.292158i | ||||
\(937\) | 50.2023 | + | 18.2722i | 1.64004 | + | 0.596925i | 0.987046 | − | 0.160438i | \(-0.0512907\pi\) |
0.652993 | + | 0.757364i | \(0.273513\pi\) | |||||||
\(938\) | 2.87221 | + | 4.97481i | 0.0937810 | + | 0.162433i | ||||
\(939\) | 0.426046 | − | 0.737933i | 0.0139035 | − | 0.0240815i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −9.96308 | + | 8.36002i | −0.324787 | + | 0.272529i | −0.790572 | − | 0.612369i | \(-0.790217\pi\) |
0.465785 | + | 0.884898i | \(0.345772\pi\) | |||||||
\(942\) | 0.957319 | − | 1.65813i | 0.0311911 | − | 0.0540247i | ||||
\(943\) | −23.1302 | − | 40.0627i | −0.753223 | − | 1.30462i | ||||
\(944\) | 5.67051 | + | 2.06390i | 0.184559 | + | 0.0671741i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0.884029 | + | 5.01358i | 0.0287422 | + | 0.163005i | ||||
\(947\) | 11.8246 | − | 4.30379i | 0.384246 | − | 0.139854i | −0.142672 | − | 0.989770i | \(-0.545569\pi\) |
0.526919 | + | 0.849916i | \(0.323347\pi\) | |||||||
\(948\) | 0.686300 | + | 0.575874i | 0.0222900 | + | 0.0187035i | ||||
\(949\) | −23.6806 | −0.768705 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0.991985 | 0.0321673 | ||||||||
\(952\) | −9.62051 | − | 8.07257i | −0.311803 | − | 0.261633i | ||||
\(953\) | −50.7655 | + | 18.4771i | −1.64446 | + | 0.598533i | −0.987810 | − | 0.155665i | \(-0.950248\pi\) |
−0.656647 | + | 0.754198i | \(0.728026\pi\) | |||||||
\(954\) | −3.25962 | − | 18.4862i | −0.105534 | − | 0.598513i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −16.9192 | − | 6.15807i | −0.547205 | − | 0.199166i | ||||
\(957\) | 1.04796 | + | 1.81511i | 0.0338756 | + | 0.0586743i | ||||
\(958\) | −9.62348 | + | 16.6684i | −0.310920 | + | 0.538530i | ||||
\(959\) | 3.73696 | − | 3.13568i | 0.120673 | − | 0.101256i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 3.80049 | − | 6.58264i | 0.122596 | − | 0.212343i | ||||
\(962\) | −0.306519 | − | 0.530906i | −0.00988256 | − | 0.0171171i | ||||
\(963\) | −32.4349 | − | 11.8053i | −1.04520 | − | 0.380422i | ||||
\(964\) | −1.53405 | + | 8.70001i | −0.0494083 | + | 0.280209i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 1.18412 | − | 0.430984i | 0.0380984 | − | 0.0138667i | ||||
\(967\) | −30.3684 | − | 25.4821i | −0.976582 | − | 0.819449i | 0.00698833 | − | 0.999976i | \(-0.497776\pi\) |
−0.983570 | + | 0.180526i | \(0.942220\pi\) | |||||||
\(968\) | 5.14125 | 0.165246 | ||||||||
\(969\) | −2.32481 | + | 1.01366i | −0.0746835 | + | 0.0325635i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −45.4477 | − | 38.1351i | −1.45849 | − | 1.22381i | −0.926081 | − | 0.377324i | \(-0.876844\pi\) |
−0.532404 | − | 0.846490i | \(-0.678711\pi\) | |||||||
\(972\) | −2.15673 | + | 0.784985i | −0.0691771 | + | 0.0251784i | ||||
\(973\) | 3.68612 | + | 20.9050i | 0.118172 | + | 0.670184i | ||||
\(974\) | 2.55538 | − | 14.4923i | 0.0818797 | − | 0.464363i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −2.13610 | − | 3.69983i | −0.0683749 | − | 0.118429i | ||||
\(977\) | −7.73546 | + | 13.3982i | −0.247479 | + | 0.428647i | −0.962826 | − | 0.270123i | \(-0.912936\pi\) |
0.715346 | + | 0.698770i | \(0.246269\pi\) | |||||||
\(978\) | −0.621165 | + | 0.521219i | −0.0198627 | + | 0.0166667i | ||||
\(979\) | 2.39882 | − | 2.01285i | 0.0766667 | − | 0.0643310i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −16.1565 | − | 27.9838i | −0.515836 | − | 0.893454i | ||||
\(982\) | 37.0504 | + | 13.4853i | 1.18233 | + | 0.430332i | ||||
\(983\) | −9.25575 | + | 52.4920i | −0.295213 | + | 1.67423i | 0.371125 | + | 0.928583i | \(0.378972\pi\) |
−0.666337 | + | 0.745651i | \(0.732139\pi\) | |||||||
\(984\) | 0.0853422 | + | 0.484000i | 0.00272061 | + | 0.0154293i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −53.0671 | − | 44.5286i | −1.69000 | − | 1.41808i | ||||
\(987\) | 1.54397 | 0.0491452 | ||||||||
\(988\) | −7.30750 | − | 11.0161i | −0.232482 | − | 0.350469i | ||||
\(989\) | 16.8834 | 0.536861 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 23.7305 | − | 8.63720i | 0.753825 | − | 0.274370i | 0.0636105 | − | 0.997975i | \(-0.479738\pi\) |
0.690214 | + | 0.723605i | \(0.257516\pi\) | |||||||
\(992\) | −0.839980 | − | 4.76376i | −0.0266694 | − | 0.151250i | ||||
\(993\) | 0.372838 | − | 2.11447i | 0.0118317 | − | 0.0671007i | ||||
\(994\) | 19.3321 | + | 7.03632i | 0.613178 | + | 0.223179i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 0.543844 | − | 0.941966i | 0.0172324 | − | 0.0298473i | ||||
\(997\) | −22.3783 | + | 18.7776i | −0.708727 | + | 0.594692i | −0.924242 | − | 0.381808i | \(-0.875301\pi\) |
0.215515 | + | 0.976501i | \(0.430857\pi\) | |||||||
\(998\) | 3.59434 | − | 3.01601i | 0.113777 | − | 0.0954700i | ||||
\(999\) | 0.0516530 | − | 0.0894656i | 0.00163423 | − | 0.00283057i |
(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 | 950.2.l.j.301.2 | yes | 24 | |
5.2 | odd | 4 | 950.2.u.h.149.7 | 48 | |||
5.3 | odd | 4 | 950.2.u.h.149.2 | 48 | |||
5.4 | even | 2 | 950.2.l.k.301.3 | yes | 24 | ||
19.6 | even | 9 | inner | 950.2.l.j.101.2 | ✓ | 24 | |
95.44 | even | 18 | 950.2.l.k.101.3 | yes | 24 | ||
95.63 | odd | 36 | 950.2.u.h.899.7 | 48 | |||
95.82 | odd | 36 | 950.2.u.h.899.2 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.l.j.101.2 | ✓ | 24 | 19.6 | even | 9 | inner | |
950.2.l.j.301.2 | yes | 24 | 1.1 | even | 1 | trivial | |
950.2.l.k.101.3 | yes | 24 | 95.44 | even | 18 | ||
950.2.l.k.301.3 | yes | 24 | 5.4 | even | 2 | ||
950.2.u.h.149.2 | 48 | 5.3 | odd | 4 | |||
950.2.u.h.149.7 | 48 | 5.2 | odd | 4 | |||
950.2.u.h.899.2 | 48 | 95.82 | odd | 36 | |||
950.2.u.h.899.7 | 48 | 95.63 | odd | 36 |