Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [931,2,Mod(226,931)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(931, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([6, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("931.226");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 931 = 7^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 931.x (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: | \(7.43407242818\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 19) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 226.1 | ||
Root | \(-0.766044 - 0.642788i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 931.226 |
Dual form | 931.2.x.a.655.1 |
$q$-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 \(\left(\mathbb{Z}/931\mathbb{Z}\right)^\times\).
\(n\) | \(248\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{5}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.03209 | − | 0.866025i | −0.729797 | − | 0.612372i | 0.200279 | − | 0.979739i | \(-0.435815\pi\) |
−0.930076 | + | 0.367366i | \(0.880260\pi\) | |||||||
\(3\) | −0.500000 | + | 2.83564i | −0.288675 | + | 1.63716i | 0.403179 | + | 0.915121i | \(0.367905\pi\) |
−0.691854 | + | 0.722037i | \(0.743206\pi\) | |||||||
\(4\) | −0.0320889 | − | 0.181985i | −0.0160444 | − | 0.0909926i | ||||
\(5\) | 0.152704 | − | 0.866025i | 0.0682911 | − | 0.387298i | −0.931435 | − | 0.363907i | \(-0.881443\pi\) |
0.999726 | − | 0.0233912i | \(-0.00744633\pi\) | |||||||
\(6\) | 2.97178 | − | 2.49362i | 1.21322 | − | 1.01802i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −1.47178 | + | 2.54920i | −0.520353 | + | 0.901278i | ||||
\(9\) | −4.97178 | − | 1.80958i | −1.65726 | − | 0.603193i | ||||
\(10\) | −0.907604 | + | 0.761570i | −0.287010 | + | 0.240830i | ||||
\(11\) | −2.22668 | −0.671370 | −0.335685 | − | 0.941974i | \(-0.608968\pi\) | ||||
−0.335685 | + | 0.941974i | \(0.608968\pi\) | |||||||
\(12\) | 0.532089 | 0.153601 | ||||||||
\(13\) | 1.97178 | − | 1.65452i | 0.546874 | − | 0.458882i | −0.327007 | − | 0.945022i | \(-0.606040\pi\) |
0.873881 | + | 0.486140i | \(0.161596\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 2.37939 | + | 0.866025i | 0.614355 | + | 0.223607i | ||||
\(16\) | 3.37939 | − | 1.23000i | 0.844846 | − | 0.307499i | ||||
\(17\) | −0.439693 | + | 0.160035i | −0.106641 | + | 0.0388142i | −0.394790 | − | 0.918772i | \(-0.629183\pi\) |
0.288149 | + | 0.957586i | \(0.406960\pi\) | |||||||
\(18\) | 3.56418 | + | 6.17334i | 0.840085 | + | 1.45507i | ||||
\(19\) | 1.52094 | − | 4.08494i | 0.348929 | − | 0.937149i | ||||
\(20\) | −0.162504 | −0.0363370 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.29813 | + | 1.92836i | 0.489964 | + | 0.411128i | ||||
\(23\) | −2.06418 | + | 1.73205i | −0.430411 | + | 0.361158i | −0.832107 | − | 0.554616i | \(-0.812865\pi\) |
0.401696 | + | 0.915773i | \(0.368421\pi\) | |||||||
\(24\) | −6.49273 | − | 5.44804i | −1.32532 | − | 1.11208i | ||||
\(25\) | 3.97178 | + | 1.44561i | 0.794356 | + | 0.289122i | ||||
\(26\) | −3.46791 | −0.680113 | ||||||||
\(27\) | 3.29813 | − | 5.71253i | 0.634726 | − | 1.09938i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.19459 | − | 6.77487i | −0.221830 | − | 1.25806i | −0.868653 | − | 0.495421i | \(-0.835014\pi\) |
0.646822 | − | 0.762641i | \(-0.276097\pi\) | |||||||
\(30\) | −1.70574 | − | 2.95442i | −0.311424 | − | 0.539401i | ||||
\(31\) | 3.55303 | − | 6.15403i | 0.638144 | − | 1.10530i | −0.347696 | − | 0.937607i | \(-0.613036\pi\) |
0.985840 | − | 0.167690i | \(-0.0536307\pi\) | |||||||
\(32\) | 0.979055 | + | 0.356347i | 0.173074 | + | 0.0629939i | ||||
\(33\) | 1.11334 | − | 6.31407i | 0.193808 | − | 1.09914i | ||||
\(34\) | 0.592396 | + | 0.215615i | 0.101595 | + | 0.0369776i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.169778 | + | 0.962858i | −0.0282963 | + | 0.160476i | ||||
\(37\) | −2.47178 | + | 4.28125i | −0.406358 | + | 0.703833i | −0.994479 | − | 0.104940i | \(-0.966535\pi\) |
0.588120 | + | 0.808774i | \(0.299868\pi\) | |||||||
\(38\) | −5.10741 | + | 2.89884i | −0.828531 | + | 0.470255i | ||||
\(39\) | 3.70574 | + | 6.41852i | 0.593393 | + | 1.02779i | ||||
\(40\) | 1.98293 | + | 1.66387i | 0.313528 | + | 0.263081i | ||||
\(41\) | 1.89646 | + | 1.59132i | 0.296177 | + | 0.248522i | 0.778751 | − | 0.627333i | \(-0.215854\pi\) |
−0.482574 | + | 0.875855i | \(0.660298\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.66637 | + | 1.33445i | −0.559117 | + | 0.203502i | −0.606093 | − | 0.795394i | \(-0.707264\pi\) |
0.0469757 | + | 0.998896i | \(0.485042\pi\) | |||||||
\(44\) | 0.0714517 | + | 0.405223i | 0.0107718 | + | 0.0610897i | ||||
\(45\) | −2.32635 | + | 4.02936i | −0.346792 | + | 0.600661i | ||||
\(46\) | 3.63041 | 0.535275 | ||||||||
\(47\) | 6.85117 | + | 2.49362i | 0.999345 | + | 0.363732i | 0.789332 | − | 0.613967i | \(-0.210427\pi\) |
0.210013 | + | 0.977699i | \(0.432649\pi\) | |||||||
\(48\) | 1.79813 | + | 10.1977i | 0.259538 | + | 1.47191i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −2.84730 | − | 4.93166i | −0.402669 | − | 0.697442i | ||||
\(51\) | −0.233956 | − | 1.32683i | −0.0327603 | − | 0.185793i | ||||
\(52\) | −0.364370 | − | 0.305743i | −0.0505291 | − | 0.0423989i | ||||
\(53\) | −0.492726 | − | 2.79439i | −0.0676811 | − | 0.383839i | −0.999767 | − | 0.0216005i | \(-0.993124\pi\) |
0.932086 | − | 0.362238i | \(-0.117987\pi\) | |||||||
\(54\) | −8.35117 | + | 3.03958i | −1.13645 | + | 0.413634i | ||||
\(55\) | −0.340022 | + | 1.92836i | −0.0458486 | + | 0.260020i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 10.8229 | + | 6.35532i | 1.43353 | + | 0.841783i | ||||
\(58\) | −4.63429 | + | 8.02682i | −0.608511 | + | 1.05397i | ||||
\(59\) | 5.92514 | − | 2.15658i | 0.771388 | − | 0.280762i | 0.0738112 | − | 0.997272i | \(-0.476484\pi\) |
0.697577 | + | 0.716510i | \(0.254262\pi\) | |||||||
\(60\) | 0.0812519 | − | 0.460802i | 0.0104896 | − | 0.0594893i | ||||
\(61\) | 6.99273 | − | 5.86759i | 0.895327 | − | 0.751268i | −0.0739445 | − | 0.997262i | \(-0.523559\pi\) |
0.969271 | + | 0.245994i | \(0.0791143\pi\) | |||||||
\(62\) | −8.99660 | + | 3.27449i | −1.14257 | + | 0.415861i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −4.29813 | − | 7.44459i | −0.537267 | − | 0.930573i | ||||
\(65\) | −1.13176 | − | 1.96026i | −0.140377 | − | 0.243141i | ||||
\(66\) | −6.61721 | + | 5.55250i | −0.814522 | + | 0.683465i | ||||
\(67\) | 5.87939 | − | 4.93339i | 0.718281 | − | 0.602710i | −0.208628 | − | 0.977995i | \(-0.566900\pi\) |
0.926909 | + | 0.375286i | \(0.122455\pi\) | |||||||
\(68\) | 0.0432332 | + | 0.0748822i | 0.00524280 | + | 0.00908080i | ||||
\(69\) | −3.87939 | − | 6.71929i | −0.467023 | − | 0.808908i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 8.74422 | − | 3.18264i | 1.03775 | − | 0.377709i | 0.233722 | − | 0.972303i | \(-0.424909\pi\) |
0.804026 | + | 0.594594i | \(0.202687\pi\) | |||||||
\(72\) | 11.9304 | − | 10.0108i | 1.40601 | − | 1.17978i | ||||
\(73\) | 0.241230 | − | 1.36808i | 0.0282338 | − | 0.160122i | −0.967431 | − | 0.253134i | \(-0.918539\pi\) |
0.995665 | + | 0.0930125i | \(0.0296497\pi\) | |||||||
\(74\) | 6.25877 | − | 2.27801i | 0.727567 | − | 0.264813i | ||||
\(75\) | −6.08512 | + | 10.5397i | −0.702649 | + | 1.21702i | ||||
\(76\) | −0.792204 | − | 0.145708i | −0.0908720 | − | 0.0167139i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 1.73396 | − | 9.83375i | 0.196332 | − | 1.11345i | ||||
\(79\) | 11.1309 | − | 4.05131i | 1.25232 | − | 0.455808i | 0.371136 | − | 0.928578i | \(-0.378968\pi\) |
0.881186 | + | 0.472770i | \(0.156746\pi\) | |||||||
\(80\) | −0.549163 | − | 3.11446i | −0.0613983 | − | 0.348207i | ||||
\(81\) | 2.39053 | + | 2.00589i | 0.265614 | + | 0.222877i | ||||
\(82\) | −0.579193 | − | 3.28476i | −0.0639611 | − | 0.362742i | ||||
\(83\) | 7.41534 | + | 12.8438i | 0.813940 | + | 1.40979i | 0.910087 | + | 0.414418i | \(0.136015\pi\) |
−0.0961469 | + | 0.995367i | \(0.530652\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.0714517 | + | 0.405223i | 0.00775003 | + | 0.0439526i | ||||
\(86\) | 4.93969 | + | 1.79790i | 0.532661 | + | 0.193873i | ||||
\(87\) | 19.8084 | 2.12368 | ||||||||
\(88\) | 3.27719 | − | 5.67626i | 0.349349 | − | 0.605091i | ||||
\(89\) | −1.78699 | − | 10.1345i | −0.189420 | − | 1.07426i | −0.920143 | − | 0.391582i | \(-0.871928\pi\) |
0.730723 | − | 0.682674i | \(-0.239183\pi\) | |||||||
\(90\) | 5.89053 | − | 2.14398i | 0.620916 | − | 0.225995i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0.381445 | + | 0.320070i | 0.0397684 | + | 0.0333696i | ||||
\(93\) | 15.6741 | + | 13.1521i | 1.62533 | + | 1.36381i | ||||
\(94\) | −4.91147 | − | 8.50692i | −0.506580 | − | 0.877422i | ||||
\(95\) | −3.30541 | − | 1.94096i | −0.339128 | − | 0.199138i | ||||
\(96\) | −1.50000 | + | 2.59808i | −0.153093 | + | 0.265165i | ||||
\(97\) | 1.64156 | − | 9.30975i | 0.166675 | − | 0.945261i | −0.780645 | − | 0.624974i | \(-0.785109\pi\) |
0.947320 | − | 0.320287i | \(-0.103779\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 11.0706 | + | 4.02936i | 1.11263 | + | 0.404966i | ||||
\(100\) | 0.135630 | − | 0.769193i | 0.0135630 | − | 0.0769193i | ||||
\(101\) | 8.69119 | + | 3.16333i | 0.864806 | + | 0.314764i | 0.736062 | − | 0.676914i | \(-0.236683\pi\) |
0.128744 | + | 0.991678i | \(0.458905\pi\) | |||||||
\(102\) | −0.907604 | + | 1.57202i | −0.0898662 | + | 0.155653i | ||||
\(103\) | 2.75490 | + | 4.77163i | 0.271448 | + | 0.470162i | 0.969233 | − | 0.246145i | \(-0.0791640\pi\) |
−0.697785 | + | 0.716308i | \(0.745831\pi\) | |||||||
\(104\) | 1.31567 | + | 7.46156i | 0.129012 | + | 0.731666i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.91147 | + | 3.31077i | −0.185659 | + | 0.321570i | ||||
\(107\) | 10.2344 | 0.989399 | 0.494699 | − | 0.869064i | \(-0.335278\pi\) | ||||
0.494699 | + | 0.869064i | \(0.335278\pi\) | |||||||
\(108\) | −1.14543 | − | 0.416902i | −0.110219 | − | 0.0401164i | ||||
\(109\) | −1.39646 | − | 1.17177i | −0.133757 | − | 0.112235i | 0.573455 | − | 0.819237i | \(-0.305603\pi\) |
−0.707212 | + | 0.707002i | \(0.750047\pi\) | |||||||
\(110\) | 2.02094 | − | 1.69577i | 0.192690 | − | 0.161686i | ||||
\(111\) | −10.9042 | − | 9.14971i | −1.03498 | − | 0.868452i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −17.6878 | −1.66393 | −0.831963 | − | 0.554830i | \(-0.812783\pi\) | ||||
−0.831963 | + | 0.554830i | \(0.812783\pi\) | |||||||
\(114\) | −5.66637 | − | 15.9322i | −0.530705 | − | 1.49219i | ||||
\(115\) | 1.18479 | + | 2.05212i | 0.110482 | + | 0.191361i | ||||
\(116\) | −1.19459 | + | 0.434796i | −0.110915 | + | 0.0403698i | ||||
\(117\) | −12.7973 | + | 4.65782i | −1.18311 | + | 0.430616i | ||||
\(118\) | −7.98293 | − | 2.90555i | −0.734888 | − | 0.267477i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −5.70961 | + | 4.79093i | −0.521213 | + | 0.437350i | ||||
\(121\) | −6.04189 | −0.549263 | ||||||||
\(122\) | −12.2986 | −1.11346 | ||||||||
\(123\) | −5.46064 | + | 4.58202i | −0.492369 | + | 0.413147i | ||||
\(124\) | −1.23396 | − | 0.449123i | −0.110812 | − | 0.0403324i | ||||
\(125\) | 4.05690 | − | 7.02676i | 0.362861 | − | 0.628493i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.88919 | − | 7.45891i | 0.788788 | − | 0.661871i | −0.156657 | − | 0.987653i | \(-0.550072\pi\) |
0.945445 | + | 0.325782i | \(0.105627\pi\) | |||||||
\(128\) | −1.64930 | + | 9.35365i | −0.145779 | + | 0.826753i | ||||
\(129\) | −1.95084 | − | 11.0637i | −0.171762 | − | 0.974109i | ||||
\(130\) | −0.529563 | + | 3.00330i | −0.0464457 | + | 0.263407i | ||||
\(131\) | 1.41353 | + | 1.18610i | 0.123501 | + | 0.103630i | 0.702446 | − | 0.711737i | \(-0.252091\pi\) |
−0.578945 | + | 0.815366i | \(0.696536\pi\) | |||||||
\(132\) | −1.18479 | −0.103123 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −10.3405 | −0.893282 | ||||||||
\(135\) | −4.44356 | − | 3.72859i | −0.382441 | − | 0.320906i | ||||
\(136\) | 0.239170 | − | 1.35640i | 0.0205087 | − | 0.116310i | ||||
\(137\) | 0.0444153 | + | 0.251892i | 0.00379465 | + | 0.0215206i | 0.986646 | − | 0.162878i | \(-0.0520775\pi\) |
−0.982852 | + | 0.184398i | \(0.940966\pi\) | |||||||
\(138\) | −1.81521 | + | 10.2946i | −0.154521 | + | 0.876331i | ||||
\(139\) | 3.26604 | − | 2.74054i | 0.277022 | − | 0.232449i | −0.493682 | − | 0.869643i | \(-0.664349\pi\) |
0.770704 | + | 0.637193i | \(0.219905\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −10.4966 | + | 18.1806i | −0.883973 | + | 1.53109i | ||||
\(142\) | −11.7811 | − | 4.28795i | −0.988645 | − | 0.359837i | ||||
\(143\) | −4.39053 | + | 3.68409i | −0.367155 | + | 0.308079i | ||||
\(144\) | −19.0273 | −1.58561 | ||||||||
\(145\) | −6.04963 | −0.502394 | ||||||||
\(146\) | −1.43376 | + | 1.20307i | −0.118659 | + | 0.0995668i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.858441 | + | 0.312447i | 0.0705634 | + | 0.0256830i | ||||
\(149\) | −15.5608 | + | 5.66366i | −1.27479 | + | 0.463985i | −0.888705 | − | 0.458479i | \(-0.848394\pi\) |
−0.386083 | + | 0.922464i | \(0.626172\pi\) | |||||||
\(150\) | 15.4081 | − | 5.60808i | 1.25806 | − | 0.457898i | ||||
\(151\) | 2.18092 | + | 3.77747i | 0.177481 | + | 0.307406i | 0.941017 | − | 0.338359i | \(-0.109872\pi\) |
−0.763536 | + | 0.645765i | \(0.776539\pi\) | |||||||
\(152\) | 8.17483 | + | 9.88933i | 0.663066 | + | 0.802131i | ||||
\(153\) | 2.47565 | 0.200145 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −4.78699 | − | 4.01676i | −0.384500 | − | 0.322634i | ||||
\(156\) | 1.04916 | − | 0.880352i | 0.0840003 | − | 0.0704846i | ||||
\(157\) | −7.36824 | − | 6.18269i | −0.588050 | − | 0.493432i | 0.299530 | − | 0.954087i | \(-0.403170\pi\) |
−0.887579 | + | 0.460655i | \(0.847615\pi\) | |||||||
\(158\) | −14.9966 | − | 5.45831i | −1.19307 | − | 0.434240i | ||||
\(159\) | 8.17024 | 0.647943 | ||||||||
\(160\) | 0.458111 | − | 0.793471i | 0.0362168 | − | 0.0627294i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −0.730085 | − | 4.14052i | −0.0573609 | − | 0.325310i | ||||
\(163\) | −4.17752 | − | 7.23567i | −0.327209 | − | 0.566742i | 0.654748 | − | 0.755847i | \(-0.272775\pi\) |
−0.981957 | + | 0.189105i | \(0.939441\pi\) | |||||||
\(164\) | 0.228741 | − | 0.396191i | 0.0178617 | − | 0.0309373i | ||||
\(165\) | −5.29813 | − | 1.92836i | −0.412459 | − | 0.150123i | ||||
\(166\) | 3.46972 | − | 19.6778i | 0.269303 | − | 1.52729i | ||||
\(167\) | −3.79174 | − | 1.38008i | −0.293413 | − | 0.106794i | 0.191120 | − | 0.981567i | \(-0.438788\pi\) |
−0.484533 | + | 0.874773i | \(0.661010\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.10694 | + | 6.27779i | −0.0851496 | + | 0.482907i | ||||
\(170\) | 0.277189 | − | 0.480105i | 0.0212594 | − | 0.0368224i | ||||
\(171\) | −14.9538 | + | 17.5572i | −1.14355 | + | 1.34263i | ||||
\(172\) | 0.360500 | + | 0.624404i | 0.0274879 | + | 0.0476104i | ||||
\(173\) | −15.4311 | − | 12.9482i | −1.17320 | − | 0.984434i | −0.173203 | − | 0.984886i | \(-0.555412\pi\) |
−1.00000 | 0.000452057i | \(0.999856\pi\) | ||||||||
\(174\) | −20.4440 | − | 17.1546i | −1.54986 | − | 1.30049i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −7.52481 | + | 2.73881i | −0.567204 | + | 0.206445i | ||||
\(177\) | 3.15270 | + | 17.8799i | 0.236972 | + | 1.34393i | ||||
\(178\) | −6.93242 | + | 12.0073i | −0.519607 | + | 0.899985i | ||||
\(179\) | −11.5125 | −0.860484 | −0.430242 | − | 0.902714i | \(-0.641572\pi\) | ||||
−0.430242 | + | 0.902714i | \(0.641572\pi\) | |||||||
\(180\) | 0.807934 | + | 0.294064i | 0.0602198 | + | 0.0219182i | ||||
\(181\) | 1.48246 | + | 8.40744i | 0.110190 | + | 0.624920i | 0.989020 | + | 0.147784i | \(0.0472141\pi\) |
−0.878829 | + | 0.477136i | \(0.841675\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 13.1420 | + | 22.7627i | 0.971487 | + | 1.68266i | ||||
\(184\) | −1.37733 | − | 7.81120i | −0.101538 | − | 0.575850i | ||||
\(185\) | 3.33022 | + | 2.79439i | 0.244843 | + | 0.205448i | ||||
\(186\) | −4.78699 | − | 27.1484i | −0.350999 | − | 1.99061i | ||||
\(187\) | 0.979055 | − | 0.356347i | 0.0715956 | − | 0.0260587i | ||||
\(188\) | 0.233956 | − | 1.32683i | 0.0170630 | − | 0.0967689i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1.73055 | + | 4.86581i | 0.125547 | + | 0.353003i | ||||
\(191\) | −9.16772 | + | 15.8790i | −0.663353 | + | 1.14896i | 0.316376 | + | 0.948634i | \(0.397534\pi\) |
−0.979729 | + | 0.200327i | \(0.935800\pi\) | |||||||
\(192\) | 23.2592 | − | 8.46567i | 1.67859 | − | 0.610957i | ||||
\(193\) | 0.0516892 | − | 0.293144i | 0.00372067 | − | 0.0211010i | −0.982891 | − | 0.184189i | \(-0.941034\pi\) |
0.986612 | + | 0.163088i | \(0.0521454\pi\) | |||||||
\(194\) | −9.75671 | + | 8.18685i | −0.700491 | + | 0.587782i | ||||
\(195\) | 6.12449 | − | 2.22913i | 0.438583 | − | 0.159631i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −6.57057 | − | 11.3806i | −0.468134 | − | 0.810832i | 0.531203 | − | 0.847245i | \(-0.321740\pi\) |
−0.999337 | + | 0.0364128i | \(0.988407\pi\) | |||||||
\(198\) | −7.93629 | − | 13.7461i | −0.564008 | − | 0.976890i | ||||
\(199\) | −0.196652 | + | 0.165011i | −0.0139403 | + | 0.0116973i | −0.649731 | − | 0.760164i | \(-0.725119\pi\) |
0.635791 | + | 0.771861i | \(0.280674\pi\) | |||||||
\(200\) | −9.53074 | + | 7.99724i | −0.673925 | + | 0.565491i | ||||
\(201\) | 11.0496 | + | 19.1385i | 0.779381 | + | 1.34993i | ||||
\(202\) | −6.23055 | − | 10.7916i | −0.438380 | − | 0.759297i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −0.233956 | + | 0.0851529i | −0.0163802 | + | 0.00596189i | ||||
\(205\) | 1.66772 | − | 1.39938i | 0.116479 | − | 0.0977371i | ||||
\(206\) | 1.28905 | − | 7.31056i | 0.0898123 | − | 0.509351i | ||||
\(207\) | 13.3969 | − | 4.87608i | 0.931151 | − | 0.338911i | ||||
\(208\) | 4.62836 | − | 8.01655i | 0.320919 | − | 0.555848i | ||||
\(209\) | −3.38666 | + | 9.09586i | −0.234260 | + | 0.629174i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.425145 | − | 2.41112i | 0.0292682 | − | 0.165988i | −0.966670 | − | 0.256024i | \(-0.917587\pi\) |
0.995938 | + | 0.0900364i | \(0.0286983\pi\) | |||||||
\(212\) | −0.492726 | + | 0.179338i | −0.0338406 | + | 0.0123170i | ||||
\(213\) | 4.65270 | + | 26.3868i | 0.318798 | + | 1.80799i | ||||
\(214\) | −10.5628 | − | 8.86327i | −0.722060 | − | 0.605881i | ||||
\(215\) | 0.595800 | + | 3.37895i | 0.0406332 | + | 0.230442i | ||||
\(216\) | 9.70826 | + | 16.8152i | 0.660564 | + | 1.14413i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 0.426489 | + | 2.41874i | 0.0288855 | + | 0.163818i | ||||
\(219\) | 3.75877 | + | 1.36808i | 0.253994 | + | 0.0924463i | ||||
\(220\) | 0.361844 | 0.0243955 | ||||||||
\(221\) | −0.602196 | + | 1.04303i | −0.0405081 | + | 0.0701621i | ||||
\(222\) | 3.33022 | + | 18.8866i | 0.223510 | + | 1.26759i | ||||
\(223\) | 7.99660 | − | 2.91052i | 0.535492 | − | 0.194903i | −0.0600971 | − | 0.998193i | \(-0.519141\pi\) |
0.595589 | + | 0.803289i | \(0.296919\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −17.1309 | − | 14.3745i | −1.14206 | − | 0.958301i | ||||
\(226\) | 18.2554 | + | 15.3181i | 1.21433 | + | 1.01894i | ||||
\(227\) | 7.07532 | + | 12.2548i | 0.469606 | + | 0.813381i | 0.999396 | − | 0.0347477i | \(-0.0110628\pi\) |
−0.529790 | + | 0.848129i | \(0.677729\pi\) | |||||||
\(228\) | 0.809278 | − | 2.17355i | 0.0535957 | − | 0.143947i | ||||
\(229\) | 10.2665 | − | 17.7821i | 0.678430 | − | 1.17508i | −0.297023 | − | 0.954870i | \(-0.595994\pi\) |
0.975454 | − | 0.220205i | \(-0.0706727\pi\) | |||||||
\(230\) | 0.554378 | − | 3.14403i | 0.0365546 | − | 0.207311i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 19.0287 | + | 6.92588i | 1.24929 | + | 0.454706i | ||||
\(233\) | 3.06506 | − | 17.3828i | 0.200798 | − | 1.13878i | −0.703117 | − | 0.711074i | \(-0.748209\pi\) |
0.903916 | − | 0.427711i | \(-0.140680\pi\) | |||||||
\(234\) | 17.2417 | + | 6.27546i | 1.12712 | + | 0.410240i | ||||
\(235\) | 3.20574 | − | 5.55250i | 0.209119 | − | 0.362205i | ||||
\(236\) | −0.582596 | − | 1.00909i | −0.0379238 | − | 0.0656859i | ||||
\(237\) | 5.92262 | + | 33.5888i | 0.384715 | + | 2.18183i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −1.17617 | + | 2.03719i | −0.0760804 | + | 0.131775i | −0.901556 | − | 0.432663i | \(-0.857574\pi\) |
0.825475 | + | 0.564438i | \(0.190907\pi\) | |||||||
\(240\) | 9.10607 | 0.587794 | ||||||||
\(241\) | −12.9684 | − | 4.72010i | −0.835367 | − | 0.304049i | −0.111307 | − | 0.993786i | \(-0.535504\pi\) |
−0.724060 | + | 0.689737i | \(0.757726\pi\) | |||||||
\(242\) | 6.23577 | + | 5.23243i | 0.400850 | + | 0.336353i | ||||
\(243\) | 8.27584 | − | 6.94426i | 0.530896 | − | 0.445474i | ||||
\(244\) | −1.29220 | − | 1.08429i | −0.0827249 | − | 0.0694144i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 9.60401 | 0.612329 | ||||||||
\(247\) | −3.75965 | − | 10.5710i | −0.239221 | − | 0.672619i | ||||
\(248\) | 10.4586 | + | 18.1148i | 0.664120 | + | 1.15029i | ||||
\(249\) | −40.1279 | + | 14.6054i | −2.54301 | + | 0.925578i | ||||
\(250\) | −10.2724 | + | 3.73886i | −0.649686 | + | 0.236466i | ||||
\(251\) | 3.91400 | + | 1.42458i | 0.247050 | + | 0.0899187i | 0.462577 | − | 0.886579i | \(-0.346925\pi\) |
−0.215528 | + | 0.976498i | \(0.569147\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 4.59627 | − | 3.85673i | 0.288965 | − | 0.242470i | ||||
\(254\) | −15.6340 | −0.980967 | ||||||||
\(255\) | −1.18479 | −0.0741946 | ||||||||
\(256\) | −3.36753 | + | 2.82569i | −0.210470 | + | 0.176606i | ||||
\(257\) | −0.627011 | − | 0.228213i | −0.0391119 | − | 0.0142356i | 0.322390 | − | 0.946607i | \(-0.395514\pi\) |
−0.361502 | + | 0.932371i | \(0.617736\pi\) | |||||||
\(258\) | −7.56805 | + | 13.1082i | −0.471166 | + | 0.816084i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −0.320422 | + | 0.268866i | −0.0198717 | + | 0.0166744i | ||||
\(261\) | −6.32042 | + | 35.8449i | −0.391224 | + | 2.21874i | ||||
\(262\) | −0.431703 | − | 2.44831i | −0.0266707 | − | 0.151257i | ||||
\(263\) | 1.97952 | − | 11.2264i | 0.122063 | − | 0.692251i | −0.860947 | − | 0.508695i | \(-0.830128\pi\) |
0.983009 | − | 0.183556i | \(-0.0587609\pi\) | |||||||
\(264\) | 14.4572 | + | 12.1311i | 0.889781 | + | 0.746615i | ||||
\(265\) | −2.49525 | −0.153282 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 29.6313 | 1.81341 | ||||||||
\(268\) | −1.08647 | − | 0.911654i | −0.0663665 | − | 0.0556881i | ||||
\(269\) | 3.36706 | − | 19.0955i | 0.205293 | − | 1.16428i | −0.691684 | − | 0.722200i | \(-0.743131\pi\) |
0.896978 | − | 0.442076i | \(-0.145758\pi\) | |||||||
\(270\) | 1.35710 | + | 7.69648i | 0.0825903 | + | 0.468393i | ||||
\(271\) | −2.32588 | + | 13.1907i | −0.141287 | + | 0.801281i | 0.828986 | + | 0.559269i | \(0.188918\pi\) |
−0.970273 | + | 0.242011i | \(0.922193\pi\) | |||||||
\(272\) | −1.28905 | + | 1.08164i | −0.0781600 | + | 0.0655841i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0.172304 | − | 0.298439i | 0.0104093 | − | 0.0180294i | ||||
\(275\) | −8.84389 | − | 3.21891i | −0.533307 | − | 0.194108i | ||||
\(276\) | −1.09833 | + | 0.921605i | −0.0661115 | + | 0.0554741i | ||||
\(277\) | 17.7469 | 1.06631 | 0.533154 | − | 0.846018i | \(-0.321007\pi\) | ||||
0.533154 | + | 0.846018i | \(0.321007\pi\) | |||||||
\(278\) | −5.74422 | −0.344516 | ||||||||
\(279\) | −28.8011 | + | 24.1670i | −1.72428 | + | 1.44684i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −17.1766 | − | 6.25179i | −1.02467 | − | 0.372950i | −0.225622 | − | 0.974215i | \(-0.572442\pi\) |
−0.799050 | + | 0.601265i | \(0.794664\pi\) | |||||||
\(282\) | 26.5783 | − | 9.67372i | 1.58272 | − | 0.576061i | ||||
\(283\) | −7.22416 | + | 2.62938i | −0.429431 | + | 0.156300i | −0.547688 | − | 0.836683i | \(-0.684492\pi\) |
0.118256 | + | 0.992983i | \(0.462270\pi\) | |||||||
\(284\) | −0.859785 | − | 1.48919i | −0.0510188 | − | 0.0883672i | ||||
\(285\) | 7.15657 | − | 8.40247i | 0.423919 | − | 0.497719i | ||||
\(286\) | 7.72193 | 0.456608 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −4.22281 | − | 3.54336i | −0.248832 | − | 0.208794i | ||||
\(289\) | −12.8550 | + | 10.7867i | −0.756179 | + | 0.634509i | ||||
\(290\) | 6.24376 | + | 5.23913i | 0.366646 | + | 0.307652i | ||||
\(291\) | 25.5783 | + | 9.30975i | 1.49943 | + | 0.545747i | ||||
\(292\) | −0.256711 | −0.0150229 | ||||||||
\(293\) | 5.25150 | − | 9.09586i | 0.306796 | − | 0.531386i | −0.670864 | − | 0.741581i | \(-0.734076\pi\) |
0.977660 | + | 0.210195i | \(0.0674098\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.962859 | − | 5.46064i | −0.0560598 | − | 0.317931i | ||||
\(296\) | −7.27584 | − | 12.6021i | −0.422900 | − | 0.732484i | ||||
\(297\) | −7.34389 | + | 12.7200i | −0.426136 | + | 0.738089i | ||||
\(298\) | 20.9650 | + | 7.63063i | 1.21447 | + | 0.442030i | ||||
\(299\) | −1.20439 | + | 6.83045i | −0.0696518 | + | 0.395015i | ||||
\(300\) | 2.11334 | + | 0.769193i | 0.122014 | + | 0.0444094i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 1.02048 | − | 5.78742i | 0.0587219 | − | 0.333028i | ||||
\(303\) | −13.3157 | + | 23.0634i | −0.764966 | + | 1.32496i | ||||
\(304\) | 0.115400 | − | 15.6753i | 0.00661865 | − | 0.899042i | ||||
\(305\) | −4.01367 | − | 6.95188i | −0.229822 | − | 0.398064i | ||||
\(306\) | −2.55509 | − | 2.14398i | −0.146065 | − | 0.122563i | ||||
\(307\) | −8.95929 | − | 7.51774i | −0.511334 | − | 0.429060i | 0.350264 | − | 0.936651i | \(-0.386092\pi\) |
−0.861598 | + | 0.507591i | \(0.830536\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −14.9081 | + | 5.42609i | −0.848091 | + | 0.308680i | ||||
\(310\) | 1.46198 | + | 8.29131i | 0.0830350 | + | 0.470915i | ||||
\(311\) | −7.98293 | + | 13.8268i | −0.452670 | + | 0.784048i | −0.998551 | − | 0.0538151i | \(-0.982862\pi\) |
0.545881 | + | 0.837863i | \(0.316195\pi\) | |||||||
\(312\) | −21.8161 | −1.23510 | ||||||||
\(313\) | 25.0228 | + | 9.10754i | 1.41437 | + | 0.514788i | 0.932409 | − | 0.361404i | \(-0.117703\pi\) |
0.481961 | + | 0.876193i | \(0.339925\pi\) | |||||||
\(314\) | 2.25031 | + | 12.7622i | 0.126993 | + | 0.720211i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.09446 | − | 1.89565i | −0.0615679 | − | 0.106639i | ||||
\(317\) | 5.12819 | + | 29.0834i | 0.288028 | + | 1.63349i | 0.694264 | + | 0.719720i | \(0.255730\pi\) |
−0.406236 | + | 0.913768i | \(0.633159\pi\) | |||||||
\(318\) | −8.43242 | − | 7.07564i | −0.472867 | − | 0.396782i | ||||
\(319\) | 2.65998 | + | 15.0855i | 0.148930 | + | 0.844625i | ||||
\(320\) | −7.10354 | + | 2.58548i | −0.397100 | + | 0.144533i | ||||
\(321\) | −5.11721 | + | 29.0211i | −0.285615 | + | 1.61980i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −0.0150147 | + | 2.03952i | −0.000835443 | + | 0.113482i | ||||
\(324\) | 0.288333 | − | 0.499408i | 0.0160185 | − | 0.0277449i | ||||
\(325\) | 10.2233 | − | 3.72097i | 0.567085 | − | 0.206402i | ||||
\(326\) | −1.95471 | + | 11.0857i | −0.108261 | + | 0.613980i | ||||
\(327\) | 4.02094 | − | 3.37397i | 0.222359 | − | 0.186581i | ||||
\(328\) | −6.84776 | + | 2.49238i | −0.378104 | + | 0.137619i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 3.79813 | + | 6.57856i | 0.209080 | + | 0.362138i | ||||
\(331\) | −13.8327 | − | 23.9590i | −0.760317 | − | 1.31691i | −0.942687 | − | 0.333677i | \(-0.891710\pi\) |
0.182371 | − | 0.983230i | \(-0.441623\pi\) | |||||||
\(332\) | 2.09942 | − | 1.76162i | 0.115221 | − | 0.0966817i | ||||
\(333\) | 20.0364 | − | 16.8126i | 1.09799 | − | 0.921322i | ||||
\(334\) | 2.71823 | + | 4.70810i | 0.148735 | + | 0.257616i | ||||
\(335\) | −3.37464 | − | 5.84504i | −0.184376 | − | 0.319349i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −16.7827 | + | 6.10841i | −0.914212 | + | 0.332746i | −0.755934 | − | 0.654648i | \(-0.772817\pi\) |
−0.158279 | + | 0.987394i | \(0.550594\pi\) | |||||||
\(338\) | 6.57919 | − | 5.52060i | 0.357861 | − | 0.300281i | ||||
\(339\) | 8.84389 | − | 50.1562i | 0.480334 | − | 2.72411i | ||||
\(340\) | 0.0714517 | − | 0.0260063i | 0.00387501 | − | 0.00141039i | ||||
\(341\) | −7.91147 | + | 13.7031i | −0.428430 | + | 0.742063i | ||||
\(342\) | 30.6386 | − | 5.17015i | 1.65675 | − | 0.279569i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 1.99432 | − | 11.3103i | 0.107526 | − | 0.609813i | ||||
\(345\) | −6.41147 | + | 2.33359i | −0.345182 | + | 0.125636i | ||||
\(346\) | 4.71276 | + | 26.7274i | 0.253360 | + | 1.43687i | ||||
\(347\) | −4.44356 | − | 3.72859i | −0.238543 | − | 0.200161i | 0.515677 | − | 0.856783i | \(-0.327540\pi\) |
−0.754220 | + | 0.656622i | \(0.771985\pi\) | |||||||
\(348\) | −0.635630 | − | 3.60483i | −0.0340733 | − | 0.193239i | ||||
\(349\) | −2.68614 | − | 4.65253i | −0.143786 | − | 0.249044i | 0.785134 | − | 0.619326i | \(-0.212594\pi\) |
−0.928919 | + | 0.370282i | \(0.879261\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −2.94831 | − | 16.7207i | −0.157369 | − | 0.892485i | ||||
\(352\) | −2.18004 | − | 0.793471i | −0.116197 | − | 0.0422922i | ||||
\(353\) | −25.2344 | −1.34309 | −0.671546 | − | 0.740963i | \(-0.734370\pi\) | ||||
−0.671546 | + | 0.740963i | \(0.734370\pi\) | |||||||
\(354\) | 12.2306 | − | 21.1839i | 0.650047 | − | 1.12591i | ||||
\(355\) | −1.42097 | − | 8.05872i | −0.0754172 | − | 0.427712i | ||||
\(356\) | −1.78699 | + | 0.650411i | −0.0947102 | + | 0.0344717i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 11.8819 | + | 9.97011i | 0.627979 | + | 0.526937i | ||||
\(359\) | 5.12243 | + | 4.29823i | 0.270351 | + | 0.226852i | 0.767877 | − | 0.640598i | \(-0.221313\pi\) |
−0.497525 | + | 0.867449i | \(0.665758\pi\) | |||||||
\(360\) | −6.84776 | − | 11.8607i | −0.360909 | − | 0.625112i | ||||
\(361\) | −14.3735 | − | 12.4259i | −0.756498 | − | 0.653996i | ||||
\(362\) | 5.75103 | − | 9.96108i | 0.302267 | − | 0.523543i | ||||
\(363\) | 3.02094 | − | 17.1326i | 0.158558 | − | 0.899230i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −1.14796 | − | 0.417822i | −0.0600868 | − | 0.0218698i | ||||
\(366\) | 6.14930 | − | 34.8744i | 0.321429 | − | 1.82291i | ||||
\(367\) | −7.62923 | − | 2.77681i | −0.398243 | − | 0.144948i | 0.135132 | − | 0.990828i | \(-0.456854\pi\) |
−0.533375 | + | 0.845879i | \(0.679076\pi\) | |||||||
\(368\) | −4.84524 | + | 8.39220i | −0.252575 | + | 0.437473i | ||||
\(369\) | −6.54916 | − | 11.3435i | −0.340936 | − | 0.590518i | ||||
\(370\) | −1.01707 | − | 5.76811i | −0.0528752 | − | 0.299870i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 1.89053 | − | 3.27449i | 0.0980194 | − | 0.169775i | ||||
\(373\) | 34.8976 | 1.80693 | 0.903463 | − | 0.428665i | \(-0.141016\pi\) | ||||
0.903463 | + | 0.428665i | \(0.141016\pi\) | |||||||
\(374\) | −1.31908 | − | 0.480105i | −0.0682079 | − | 0.0248256i | ||||
\(375\) | 17.8969 | + | 15.0173i | 0.924193 | + | 0.775490i | ||||
\(376\) | −16.4402 | + | 13.7949i | −0.847836 | + | 0.711419i | ||||
\(377\) | −13.5646 | − | 11.3821i | −0.698615 | − | 0.586207i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 1.70140 | 0.0873950 | 0.0436975 | − | 0.999045i | \(-0.486086\pi\) | ||||
0.0436975 | + | 0.999045i | \(0.486086\pi\) | |||||||
\(380\) | −0.247159 | + | 0.663818i | −0.0126790 | + | 0.0340532i | ||||
\(381\) | 16.7062 | + | 28.9360i | 0.855885 | + | 1.48244i | ||||
\(382\) | 23.2135 | − | 8.44901i | 1.18770 | − | 0.432289i | ||||
\(383\) | −2.75965 | + | 1.00443i | −0.141011 | + | 0.0513240i | −0.411562 | − | 0.911382i | \(-0.635017\pi\) |
0.270550 | + | 0.962706i | \(0.412794\pi\) | |||||||
\(384\) | −25.6989 | − | 9.35365i | −1.31144 | − | 0.477326i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −0.307218 | + | 0.257787i | −0.0156370 | + | 0.0131210i | ||||
\(387\) | 20.6432 | 1.04935 | ||||||||
\(388\) | −1.74691 | −0.0886860 | ||||||||
\(389\) | −18.8195 | + | 15.7915i | −0.954189 | + | 0.800659i | −0.979998 | − | 0.199007i | \(-0.936228\pi\) |
0.0258092 | + | 0.999667i | \(0.491784\pi\) | |||||||
\(390\) | −8.25150 | − | 3.00330i | −0.417831 | − | 0.152078i | ||||
\(391\) | 0.630415 | − | 1.09191i | 0.0318815 | − | 0.0552203i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −4.07011 | + | 3.41523i | −0.205310 | + | 0.172275i | ||||
\(394\) | −3.07444 | + | 17.4360i | −0.154888 | + | 0.878415i | ||||
\(395\) | −1.80881 | − | 10.2583i | −0.0910112 | − | 0.516150i | ||||
\(396\) | 0.378041 | − | 2.14398i | 0.0189973 | − | 0.107739i | ||||
\(397\) | −24.3876 | − | 20.4636i | −1.22398 | − | 1.02704i | −0.998607 | − | 0.0527667i | \(-0.983196\pi\) |
−0.225371 | − | 0.974273i | \(-0.572360\pi\) | |||||||
\(398\) | 0.345866 | 0.0173367 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 15.2003 | 0.760014 | ||||||||
\(401\) | −0.0662372 | − | 0.0555796i | −0.00330773 | − | 0.00277551i | 0.641132 | − | 0.767430i | \(-0.278465\pi\) |
−0.644440 | + | 0.764655i | \(0.722909\pi\) | |||||||
\(402\) | 5.17024 | − | 29.3219i | 0.257868 | − | 1.46244i | ||||
\(403\) | −3.17617 | − | 18.0130i | −0.158217 | − | 0.897290i | ||||
\(404\) | 0.296789 | − | 1.68317i | 0.0147658 | − | 0.0837411i | ||||
\(405\) | 2.10220 | − | 1.76395i | 0.104459 | − | 0.0876515i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 5.50387 | − | 9.53298i | 0.272817 | − | 0.472532i | ||||
\(408\) | 3.72668 | + | 1.35640i | 0.184498 | + | 0.0671519i | ||||
\(409\) | 15.3255 | − | 12.8596i | 0.757796 | − | 0.635866i | −0.179756 | − | 0.983711i | \(-0.557531\pi\) |
0.937552 | + | 0.347845i | \(0.113086\pi\) | |||||||
\(410\) | −2.93313 | −0.144857 | ||||||||
\(411\) | −0.736482 | −0.0363280 | ||||||||
\(412\) | 0.779963 | − | 0.654467i | 0.0384260 | − | 0.0322433i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −18.0496 | − | 6.56953i | −0.887091 | − | 0.322875i | ||||
\(415\) | 12.2554 | − | 4.46059i | 0.601592 | − | 0.218962i | ||||
\(416\) | 2.52007 | − | 0.917229i | 0.123556 | − | 0.0449709i | ||||
\(417\) | 6.13816 | + | 10.6316i | 0.300587 | + | 0.520632i | ||||
\(418\) | 11.3726 | − | 6.45480i | 0.556251 | − | 0.315715i | ||||
\(419\) | 25.4097 | 1.24135 | 0.620673 | − | 0.784070i | \(-0.286859\pi\) | ||||
0.620673 | + | 0.784070i | \(0.286859\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.34730 | + | 2.80872i | 0.163137 | + | 0.136888i | 0.720702 | − | 0.693245i | \(-0.243820\pi\) |
−0.557565 | + | 0.830134i | \(0.688264\pi\) | |||||||
\(422\) | −2.52687 | + | 2.12030i | −0.123006 | + | 0.103215i | ||||
\(423\) | −29.5501 | − | 24.7955i | −1.43677 | − | 1.20560i | ||||
\(424\) | 7.84864 | + | 2.85667i | 0.381164 | + | 0.138732i | ||||
\(425\) | −1.97771 | −0.0959331 | ||||||||
\(426\) | 18.0496 | − | 31.2629i | 0.874507 | − | 1.51469i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −0.328411 | − | 1.86251i | −0.0158744 | − | 0.0900279i | ||||
\(429\) | −8.25150 | − | 14.2920i | −0.398386 | − | 0.690025i | ||||
\(430\) | 2.31134 | − | 4.00335i | 0.111463 | − | 0.193059i | ||||
\(431\) | 35.9962 | + | 13.1015i | 1.73388 | + | 0.631079i | 0.998894 | − | 0.0470089i | \(-0.0149689\pi\) |
0.734981 | + | 0.678088i | \(0.237191\pi\) | |||||||
\(432\) | 4.11927 | − | 23.3615i | 0.198188 | − | 1.12398i | ||||
\(433\) | 17.0376 | + | 6.20118i | 0.818775 | + | 0.298010i | 0.717244 | − | 0.696823i | \(-0.245403\pi\) |
0.101532 | + | 0.994832i | \(0.467626\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 3.02481 | − | 17.1546i | 0.145029 | − | 0.822499i | ||||
\(436\) | −0.168434 | + | 0.291736i | −0.00806651 | + | 0.0139716i | ||||
\(437\) | 3.93582 | + | 11.0664i | 0.188276 | + | 0.529377i | ||||
\(438\) | −2.69459 | − | 4.66717i | −0.128753 | − | 0.223006i | ||||
\(439\) | −4.66566 | − | 3.91495i | −0.222680 | − | 0.186850i | 0.524622 | − | 0.851335i | \(-0.324207\pi\) |
−0.747302 | + | 0.664485i | \(0.768651\pi\) | |||||||
\(440\) | −4.41534 | − | 3.70491i | −0.210493 | − | 0.176625i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 1.52481 | − | 0.554987i | 0.0725280 | − | 0.0263981i | ||||
\(443\) | −5.19088 | − | 29.4390i | −0.246626 | − | 1.39869i | −0.816685 | − | 0.577084i | \(-0.804191\pi\) |
0.570059 | − | 0.821604i | \(-0.306920\pi\) | |||||||
\(444\) | −1.31521 | + | 2.27801i | −0.0624170 | + | 0.108109i | ||||
\(445\) | −9.04963 | −0.428994 | ||||||||
\(446\) | −10.7738 | − | 3.92134i | −0.510154 | − | 0.185681i | ||||
\(447\) | −8.27972 | − | 46.9566i | −0.391617 | − | 2.22097i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 5.62495 | + | 9.74270i | 0.265458 | + | 0.459787i | 0.967683 | − | 0.252168i | \(-0.0811435\pi\) |
−0.702226 | + | 0.711955i | \(0.747810\pi\) | |||||||
\(450\) | 5.23190 | + | 29.6716i | 0.246634 | + | 1.39873i | ||||
\(451\) | −4.22281 | − | 3.54336i | −0.198844 | − | 0.166850i | ||||
\(452\) | 0.567581 | + | 3.21891i | 0.0266968 | + | 0.151405i | ||||
\(453\) | −11.8020 | + | 4.29558i | −0.554507 | + | 0.201824i | ||||
\(454\) | 3.31062 | − | 18.7755i | 0.155375 | − | 0.881176i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −32.1300 | + | 18.2362i | −1.50463 | + | 0.853989i | ||||
\(457\) | 11.6951 | − | 20.2564i | 0.547072 | − | 0.947556i | −0.451402 | − | 0.892321i | \(-0.649076\pi\) |
0.998473 | − | 0.0552352i | \(-0.0175909\pi\) | |||||||
\(458\) | −25.9957 | + | 9.46167i | −1.21470 | + | 0.442115i | ||||
\(459\) | −0.535959 | + | 3.03958i | −0.0250164 | + | 0.141875i | ||||
\(460\) | 0.335437 | − | 0.281465i | 0.0156398 | − | 0.0131234i | ||||
\(461\) | 34.4149 | − | 12.5260i | 1.60286 | − | 0.583395i | 0.622853 | − | 0.782339i | \(-0.285974\pi\) |
0.980011 | + | 0.198945i | \(0.0637514\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 21.4932 | + | 37.2273i | 0.998873 | + | 1.73010i | 0.540534 | + | 0.841322i | \(0.318222\pi\) |
0.458340 | + | 0.888777i | \(0.348444\pi\) | |||||||
\(464\) | −12.3701 | − | 21.4256i | −0.574265 | − | 0.994657i | ||||
\(465\) | 13.7836 | − | 11.5658i | 0.639198 | − | 0.536351i | ||||
\(466\) | −18.2173 | + | 15.2862i | −0.843902 | + | 0.708118i | ||||
\(467\) | −12.7981 | − | 22.1670i | −0.592227 | − | 1.02577i | −0.993932 | − | 0.109998i | \(-0.964916\pi\) |
0.401705 | − | 0.915769i | \(-0.368418\pi\) | |||||||
\(468\) | 1.25830 | + | 2.17945i | 0.0581651 | + | 0.100745i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −8.11721 | + | 2.95442i | −0.374419 | + | 0.136277i | ||||
\(471\) | 21.2160 | − | 17.8023i | 0.977582 | − | 0.820289i | ||||
\(472\) | −3.22297 | + | 18.2784i | −0.148349 | + | 0.841331i | ||||
\(473\) | 8.16385 | − | 2.97140i | 0.375374 | − | 0.136625i | ||||
\(474\) | 22.9761 | − | 39.7958i | 1.05533 | − | 1.82788i | ||||
\(475\) | 11.9461 | − | 14.0258i | 0.548124 | − | 0.643548i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −2.60694 | + | 14.7847i | −0.119364 | + | 0.676946i | ||||
\(478\) | 2.97818 | − | 1.08397i | 0.136219 | − | 0.0495796i | ||||
\(479\) | 6.62923 | + | 37.5962i | 0.302897 | + | 1.71782i | 0.633240 | + | 0.773955i | \(0.281725\pi\) |
−0.330343 | + | 0.943861i | \(0.607164\pi\) | |||||||
\(480\) | 2.02094 | + | 1.69577i | 0.0922431 | + | 0.0774011i | ||||
\(481\) | 2.20961 | + | 12.5313i | 0.100749 | + | 0.571378i | ||||
\(482\) | 9.29679 | + | 16.1025i | 0.423457 | + | 0.733449i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.193877 | + | 1.09953i | 0.00881261 | + | 0.0499788i | ||||
\(485\) | −7.81180 | − | 2.84326i | −0.354716 | − | 0.129106i | ||||
\(486\) | −14.5553 | −0.660242 | ||||||||
\(487\) | −3.88191 | + | 6.72367i | −0.175906 | + | 0.304678i | −0.940475 | − | 0.339864i | \(-0.889619\pi\) |
0.764568 | + | 0.644543i | \(0.222952\pi\) | |||||||
\(488\) | 4.66591 | + | 26.4617i | 0.211216 | + | 1.19786i | ||||
\(489\) | 22.6065 | − | 8.22811i | 1.02230 | − | 0.372088i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −28.1313 | − | 23.6050i | −1.26955 | − | 1.06528i | −0.994596 | − | 0.103822i | \(-0.966893\pi\) |
−0.274954 | − | 0.961457i | \(-0.588663\pi\) | |||||||
\(492\) | 1.00908 | + | 0.846723i | 0.0454931 | + | 0.0381732i | ||||
\(493\) | 1.60947 | + | 2.78768i | 0.0724869 | + | 0.125551i | ||||
\(494\) | −5.27450 | + | 14.1662i | −0.237311 | + | 0.637368i | ||||
\(495\) | 5.18004 | − | 8.97210i | 0.232826 | − | 0.403266i | ||||
\(496\) | 4.43763 | − | 25.1671i | 0.199256 | − | 1.13003i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 54.0642 | + | 19.6778i | 2.42268 | + | 0.881782i | ||||
\(499\) | 0.855448 | − | 4.85148i | 0.0382951 | − | 0.217182i | −0.959655 | − | 0.281180i | \(-0.909274\pi\) |
0.997950 | + | 0.0639981i | \(0.0203852\pi\) | |||||||
\(500\) | −1.40895 | − | 0.512815i | −0.0630101 | − | 0.0229338i | ||||
\(501\) | 5.80928 | − | 10.0620i | 0.259539 | − | 0.449535i | ||||
\(502\) | −2.80587 | − | 4.85992i | −0.125232 | − | 0.216909i | ||||
\(503\) | 5.72163 | + | 32.4490i | 0.255115 | + | 1.44683i | 0.795778 | + | 0.605589i | \(0.207062\pi\) |
−0.540663 | + | 0.841239i | \(0.681827\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 4.06670 | − | 7.04374i | 0.180966 | − | 0.313442i | ||||
\(506\) | −8.08378 | −0.359368 | ||||||||
\(507\) | −17.2481 | − | 6.27779i | −0.766015 | − | 0.278807i | ||||
\(508\) | −1.64266 | − | 1.37835i | −0.0728810 | − | 0.0611544i | ||||
\(509\) | −28.2939 | + | 23.7414i | −1.25410 | + | 1.05232i | −0.257819 | + | 0.966193i | \(0.583004\pi\) |
−0.996284 | + | 0.0861240i | \(0.972552\pi\) | |||||||
\(510\) | 1.22281 | + | 1.02606i | 0.0541470 | + | 0.0454347i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 24.9186 | 1.10126 | ||||||||
\(513\) | −18.3191 | − | 22.1611i | −0.808807 | − | 0.978437i | ||||
\(514\) | 0.449493 | + | 0.778544i | 0.0198263 | + | 0.0343401i | ||||
\(515\) | 4.55303 | − | 1.65717i | 0.200631 | − | 0.0730236i | ||||
\(516\) | −1.95084 | + | 0.710047i | −0.0858808 | + | 0.0312581i | ||||
\(517\) | −15.2554 | − | 5.55250i | −0.670930 | − | 0.244199i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 44.4320 | − | 37.2829i | 1.95035 | − | 1.63654i | ||||
\(520\) | 6.66281 | 0.292183 | ||||||||
\(521\) | 9.29179 | 0.407081 | 0.203540 | − | 0.979067i | \(-0.434755\pi\) | ||||
0.203540 | + | 0.979067i | \(0.434755\pi\) | |||||||
\(522\) | 37.5658 | − | 31.5215i | 1.64421 | − | 1.37966i | ||||
\(523\) | 26.7015 | + | 9.71854i | 1.16757 | + | 0.424962i | 0.851797 | − | 0.523872i | \(-0.175513\pi\) |
0.315776 | + | 0.948834i | \(0.397735\pi\) | |||||||
\(524\) | 0.170493 | − | 0.295303i | 0.00744802 | − | 0.0129004i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −11.7654 | + | 9.87236i | −0.512996 | + | 0.430455i | ||||
\(527\) | −0.577382 | + | 3.27449i | −0.0251511 | + | 0.142639i | ||||
\(528\) | −4.00387 | − | 22.7071i | −0.174246 | − | 0.988199i | ||||
\(529\) | −2.73308 | + | 15.5001i | −0.118829 | + | 0.673916i | ||||
\(530\) | 2.57532 | + | 2.16095i | 0.111865 | + | 0.0938657i | ||||
\(531\) | −33.3610 | −1.44775 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 6.37227 | 0.276014 | ||||||||
\(534\) | −30.5822 | − | 25.6615i | −1.32342 | − | 1.11048i | ||||
\(535\) | 1.56283 | − | 8.86327i | 0.0675672 | − | 0.383193i | ||||
\(536\) | 3.92303 | + | 22.2486i | 0.169449 | + | 0.960993i | ||||
\(537\) | 5.75624 | − | 32.6453i | 0.248400 | − | 1.40875i | ||||
\(538\) | −20.0123 | + | 16.7923i | −0.862793 | + | 0.723969i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −0.535959 | + | 0.928309i | −0.0230640 | + | 0.0399480i | ||||
\(541\) | −14.0817 | − | 5.12533i | −0.605420 | − | 0.220355i | 0.0210779 | − | 0.999778i | \(-0.493290\pi\) |
−0.626498 | + | 0.779423i | \(0.715512\pi\) | |||||||
\(542\) | 13.8240 | − | 11.5998i | 0.593794 | − | 0.498252i | ||||
\(543\) | −24.5817 | −1.05490 | ||||||||
\(544\) | −0.487511 | −0.0209019 | ||||||||
\(545\) | −1.22803 | + | 1.03044i | −0.0526028 | + | 0.0441390i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 3.65270 | + | 1.32948i | 0.156178 | + | 0.0568443i | 0.418926 | − | 0.908020i | \(-0.362407\pi\) |
−0.262748 | + | 0.964864i | \(0.584629\pi\) | |||||||
\(548\) | 0.0444153 | − | 0.0161658i | 0.00189733 | − | 0.000690571i | ||||
\(549\) | −45.3842 | + | 16.5185i | −1.93695 | + | 0.704992i | ||||
\(550\) | 6.34002 | + | 10.9812i | 0.270339 | + | 0.468242i | ||||
\(551\) | −29.4918 | − | 5.42437i | −1.25639 | − | 0.231086i | ||||
\(552\) | 22.8384 | 0.972068 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −18.3164 | − | 15.3693i | −0.778189 | − | 0.652978i | ||||
\(555\) | −9.58899 | + | 8.04612i | −0.407030 | + | 0.341539i | ||||
\(556\) | −0.603541 | − | 0.506431i | −0.0255958 | − | 0.0214774i | ||||
\(557\) | −12.4081 | − | 4.51617i | −0.525747 | − | 0.191356i | 0.0654914 | − | 0.997853i | \(-0.479138\pi\) |
−0.591238 | + | 0.806497i | \(0.701361\pi\) | |||||||
\(558\) | 50.6546 | 2.14438 | ||||||||
\(559\) | −5.02141 | + | 8.69734i | −0.212383 | + | 0.367858i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0.520945 | + | 2.95442i | 0.0219943 | + | 0.124736i | ||||
\(562\) | 12.3136 | + | 21.3278i | 0.519418 | + | 0.899659i | ||||
\(563\) | −5.35638 | + | 9.27752i | −0.225745 | + | 0.391001i | −0.956543 | − | 0.291593i | \(-0.905815\pi\) |
0.730798 | + | 0.682594i | \(0.239148\pi\) | |||||||
\(564\) | 3.64543 | + | 1.32683i | 0.153500 | + | 0.0558695i | ||||
\(565\) | −2.70099 | + | 15.3181i | −0.113631 | + | 0.644436i | ||||
\(566\) | 9.73308 | + | 3.54255i | 0.409112 | + | 0.148905i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −4.75641 | + | 26.9749i | −0.199574 | + | 1.13184i | ||||
\(569\) | 6.73530 | − | 11.6659i | 0.282358 | − | 0.489059i | −0.689607 | − | 0.724184i | \(-0.742217\pi\) |
0.971965 | + | 0.235125i | \(0.0755499\pi\) | |||||||
\(570\) | −14.6630 | + | 2.47432i | −0.614164 | + | 0.103638i | ||||
\(571\) | −6.33275 | − | 10.9686i | −0.265017 | − | 0.459023i | 0.702551 | − | 0.711634i | \(-0.252044\pi\) |
−0.967568 | + | 0.252610i | \(0.918711\pi\) | |||||||
\(572\) | 0.811337 | + | 0.680793i | 0.0339237 | + | 0.0284654i | ||||
\(573\) | −40.4432 | − | 33.9358i | −1.68954 | − | 1.41769i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −10.7023 | + | 3.89533i | −0.446318 | + | 0.162447i | ||||
\(576\) | 7.89780 | + | 44.7907i | 0.329075 | + | 1.86628i | ||||
\(577\) | 5.27719 | − | 9.14036i | 0.219692 | − | 0.380518i | −0.735022 | − | 0.678044i | \(-0.762828\pi\) |
0.954714 | + | 0.297526i | \(0.0961613\pi\) | |||||||
\(578\) | 22.6091 | 0.940413 | ||||||||
\(579\) | 0.805407 | + | 0.293144i | 0.0334716 | + | 0.0121827i | ||||
\(580\) | 0.194126 | + | 1.10094i | 0.00806064 | + | 0.0457142i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −18.3366 | − | 31.7600i | −0.760077 | − | 1.31649i | ||||
\(583\) | 1.09714 | + | 6.22221i | 0.0454391 | + | 0.257698i | ||||
\(584\) | 3.13247 | + | 2.62846i | 0.129623 | + | 0.108766i | ||||
\(585\) | 2.07960 | + | 11.7940i | 0.0859810 | + | 0.487623i | ||||
\(586\) | −13.2973 | + | 4.83981i | −0.549305 | + | 0.199931i | ||||
\(587\) | −3.32619 | + | 18.8638i | −0.137287 | + | 0.778591i | 0.835954 | + | 0.548800i | \(0.184915\pi\) |
−0.973240 | + | 0.229791i | \(0.926196\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −19.7349 | − | 23.8739i | −0.813162 | − | 0.983706i | ||||
\(590\) | −3.73530 | + | 6.46973i | −0.153780 | + | 0.266355i | ||||
\(591\) | 35.5565 | − | 12.9415i | 1.46260 | − | 0.532342i | ||||
\(592\) | −3.08718 | + | 17.5083i | −0.126882 | + | 0.719586i | ||||
\(593\) | −6.66044 | + | 5.58878i | −0.273512 | + | 0.229504i | −0.769218 | − | 0.638987i | \(-0.779354\pi\) |
0.495706 | + | 0.868490i | \(0.334909\pi\) | |||||||
\(594\) | 18.5954 | − | 6.76817i | 0.762978 | − | 0.277701i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 1.53003 | + | 2.65009i | 0.0626724 | + | 0.108552i | ||||
\(597\) | −0.369585 | − | 0.640140i | −0.0151261 | − | 0.0261992i | ||||
\(598\) | 7.15839 | − | 6.00660i | 0.292728 | − | 0.245628i | ||||
\(599\) | 15.1919 | − | 12.7475i | 0.620724 | − | 0.520850i | −0.277307 | − | 0.960781i | \(-0.589442\pi\) |
0.898031 | + | 0.439932i | \(0.144997\pi\) | |||||||
\(600\) | −17.9119 | − | 31.0244i | −0.731252 | − | 1.26657i | ||||
\(601\) | 16.8807 | + | 29.2383i | 0.688579 | + | 1.19265i | 0.972298 | + | 0.233747i | \(0.0750986\pi\) |
−0.283718 | + | 0.958908i | \(0.591568\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −38.1584 | + | 13.8885i | −1.55393 | + | 0.565584i | ||||
\(604\) | 0.617460 | − | 0.518110i | 0.0251241 | − | 0.0210816i | ||||
\(605\) | −0.922618 | + | 5.23243i | −0.0375098 | + | 0.212729i | ||||
\(606\) | 33.7165 | − | 12.2718i | 1.36964 | − | 0.498507i | ||||
\(607\) | −17.6425 | + | 30.5577i | −0.716087 | + | 1.24030i | 0.246452 | + | 0.969155i | \(0.420735\pi\) |
−0.962539 | + | 0.271144i | \(0.912598\pi\) | |||||||
\(608\) | 2.94475 | − | 3.45740i | 0.119425 | − | 0.140216i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −1.87804 | + | 10.6509i | −0.0760397 | + | 0.431242i | ||||
\(611\) | 17.6348 | − | 6.41852i | 0.713426 | − | 0.259666i | ||||
\(612\) | −0.0794409 | − | 0.450532i | −0.00321121 | − | 0.0182117i | ||||
\(613\) | 14.1361 | + | 11.8616i | 0.570952 | + | 0.479085i | 0.881962 | − | 0.471321i | \(-0.156223\pi\) |
−0.311010 | + | 0.950407i | \(0.600667\pi\) | |||||||
\(614\) | 2.73623 | + | 15.5180i | 0.110425 | + | 0.626254i | ||||
\(615\) | 3.13429 | + | 5.42874i | 0.126387 | + | 0.218908i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −6.19671 | − | 35.1433i | −0.249470 | − | 1.41482i | −0.809878 | − | 0.586598i | \(-0.800467\pi\) |
0.560408 | − | 0.828217i | \(-0.310644\pi\) | |||||||
\(618\) | 20.0856 | + | 7.31056i | 0.807961 | + | 0.294074i | ||||
\(619\) | 3.65951 | 0.147088 | 0.0735441 | − | 0.997292i | \(-0.476569\pi\) | ||||
0.0735441 | + | 0.997292i | \(0.476569\pi\) | |||||||
\(620\) | −0.577382 | + | 1.00005i | −0.0231882 | + | 0.0401631i | ||||
\(621\) | 3.08647 | + | 17.5042i | 0.123856 | + | 0.702420i | ||||
\(622\) | 20.2135 | − | 7.35710i | 0.810487 | − | 0.294993i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 20.4179 | + | 17.1326i | 0.817369 | + | 0.685854i | ||||
\(625\) | 10.7233 | + | 8.99790i | 0.428931 | + | 0.359916i | ||||
\(626\) | −17.9383 | − | 31.0701i | −0.716961 | − | 1.24181i | ||||
\(627\) | −24.0993 | − | 14.1513i | −0.962432 | − | 0.565148i | ||||
\(628\) | −0.888719 | + | 1.53931i | −0.0354637 | + | 0.0614250i | ||||
\(629\) | 0.401674 | − | 2.27801i | 0.0160158 | − | 0.0908301i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 0.745977 | + | 0.271514i | 0.0296969 | + | 0.0108088i | 0.356826 | − | 0.934171i | \(-0.383859\pi\) |
−0.327129 | + | 0.944980i | \(0.606081\pi\) | |||||||
\(632\) | −6.05463 | + | 34.3375i | −0.240840 | + | 1.36587i | ||||
\(633\) | 6.62449 | + | 2.41112i | 0.263300 | + | 0.0958332i | ||||
\(634\) | 19.8942 | − | 34.4578i | 0.790101 | − | 1.36850i | ||||
\(635\) | −5.10220 | − | 8.83726i | −0.202474 | − | 0.350696i | ||||
\(636\) | −0.262174 | − | 1.48686i | −0.0103959 | − | 0.0589579i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 10.3191 | − | 17.8732i | 0.408536 | − | 0.707605i | ||||
\(639\) | −49.2336 | −1.94765 | ||||||||
\(640\) | 7.84864 | + | 2.85667i | 0.310245 | + | 0.112920i | ||||
\(641\) | 22.5082 | + | 18.8866i | 0.889021 | + | 0.745977i | 0.968013 | − | 0.250898i | \(-0.0807259\pi\) |
−0.0789927 | + | 0.996875i | \(0.525170\pi\) | |||||||
\(642\) | 30.4145 | − | 25.5208i | 1.20036 | − | 1.00722i | ||||
\(643\) | 17.0168 | + | 14.2788i | 0.671078 | + | 0.563101i | 0.913384 | − | 0.407098i | \(-0.133459\pi\) |
−0.242306 | + | 0.970200i | \(0.577904\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −9.87939 | −0.389000 | ||||||||
\(646\) | 1.78177 | − | 2.09196i | 0.0701030 | − | 0.0823073i | ||||
\(647\) | −5.62954 | − | 9.75065i | −0.221320 | − | 0.383337i | 0.733889 | − | 0.679269i | \(-0.237703\pi\) |
−0.955209 | + | 0.295932i | \(0.904370\pi\) | |||||||
\(648\) | −8.63176 | + | 3.14170i | −0.339088 | + | 0.123418i | ||||
\(649\) | −13.1934 | + | 4.80201i | −0.517887 | + | 0.188495i | ||||
\(650\) | −13.7738 | − | 5.01325i | −0.540252 | − | 0.196636i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.18273 | + | 0.992431i | −0.0463194 | + | 0.0388666i | ||||
\(653\) | 27.0000 | 1.05659 | 0.528296 | − | 0.849060i | \(-0.322831\pi\) | ||||
0.528296 | + | 0.849060i | \(0.322831\pi\) | |||||||
\(654\) | −7.07192 | −0.276534 | ||||||||
\(655\) | 1.24304 | − | 1.04303i | 0.0485696 | − | 0.0407547i | ||||
\(656\) | 8.36618 | + | 3.04504i | 0.326645 | + | 0.118889i | ||||
\(657\) | −3.67499 | + | 6.36527i | −0.143375 | + | 0.248333i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 21.4691 | − | 18.0147i | 0.836317 | − | 0.701753i | −0.120415 | − | 0.992724i | \(-0.538423\pi\) |
0.956732 | + | 0.290970i | \(0.0939781\pi\) | |||||||
\(660\) | −0.180922 | + | 1.02606i | −0.00704238 | + | 0.0399393i | ||||
\(661\) | 1.97400 | + | 11.1951i | 0.0767798 | + | 0.435440i | 0.998830 | + | 0.0483686i | \(0.0154022\pi\) |
−0.922050 | + | 0.387071i | \(0.873487\pi\) | |||||||
\(662\) | −6.47250 | + | 36.7074i | −0.251561 | + | 1.42667i | ||||
\(663\) | −2.65657 | − | 2.22913i | −0.103173 | − | 0.0865722i | ||||
\(664\) | −43.6551 | −1.69415 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −35.2395 | −1.36550 | ||||||||
\(667\) | 14.2003 | + | 11.9154i | 0.549837 | + | 0.461368i | ||||
\(668\) | −0.129481 | + | 0.734325i | −0.00500978 | + | 0.0284119i | ||||
\(669\) | 4.25490 | + | 24.1307i | 0.164504 | + | 0.932948i | ||||
\(670\) | −1.57903 | + | 8.95513i | −0.0610033 | + | 0.345967i | ||||
\(671\) | −15.5706 | + | 13.0653i | −0.601095 | + | 0.504379i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 8.28359 | − | 14.3476i | 0.319309 | − | 0.553059i | −0.661035 | − | 0.750355i | \(-0.729883\pi\) |
0.980344 | + | 0.197296i | \(0.0632160\pi\) | |||||||
\(674\) | 22.6113 | + | 8.22983i | 0.870954 | + | 0.317001i | ||||
\(675\) | 21.3576 | − | 17.9211i | 0.822053 | − | 0.689784i | ||||
\(676\) | 1.17799 | 0.0453071 | ||||||||
\(677\) | −9.04963 | −0.347806 | −0.173903 | − | 0.984763i | \(-0.555638\pi\) | ||||
−0.173903 | + | 0.984763i | \(0.555638\pi\) | |||||||
\(678\) | −52.5642 | + | 44.1066i | −2.01872 | + | 1.69390i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −1.13816 | − | 0.414255i | −0.0436463 | − | 0.0158859i | ||||
\(681\) | −38.2879 | + | 13.9357i | −1.46720 | + | 0.534016i | ||||
\(682\) | 20.0326 | − | 7.29125i | 0.767086 | − | 0.279197i | ||||
\(683\) | −4.36571 | − | 7.56164i | −0.167049 | − | 0.289338i | 0.770332 | − | 0.637643i | \(-0.220091\pi\) |
−0.937381 | + | 0.348305i | \(0.886757\pi\) | |||||||
\(684\) | 3.67499 | + | 2.15799i | 0.140517 | + | 0.0825126i | ||||
\(685\) | 0.224927 | 0.00859402 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 45.2904 | + | 38.0032i | 1.72794 | + | 1.44991i | ||||
\(688\) | −10.7487 | + | 9.01925i | −0.409791 | + | 0.343856i | ||||
\(689\) | −5.59492 | − | 4.69470i | −0.213150 | − | 0.178854i | ||||
\(690\) | 8.63816 | + | 3.14403i | 0.328849 | + | 0.119691i | ||||
\(691\) | 34.7202 | 1.32082 | 0.660409 | − | 0.750906i | \(-0.270383\pi\) | ||||
0.660409 | + | 0.750906i | \(0.270383\pi\) | |||||||
\(692\) | −1.86122 | + | 3.22372i | −0.0707528 | + | 0.122547i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 1.35710 | + | 7.69648i | 0.0515147 | + | 0.292154i | ||||
\(695\) | −1.87464 | − | 3.24697i | −0.0711091 | − | 0.123164i | ||||
\(696\) | −29.1536 | + | 50.4956i | −1.10507 | + | 1.91403i | ||||
\(697\) | −1.08853 | − | 0.396191i | −0.0412309 | − | 0.0150068i | ||||
\(698\) | −1.25687 | + | 7.12808i | −0.0475734 | + | 0.269802i | ||||
\(699\) | 47.7588 | + | 17.3828i | 1.80640 | + | 0.657478i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 6.84436 | − | 38.8163i | 0.258508 | − | 1.46607i | −0.528397 | − | 0.848997i | \(-0.677207\pi\) |
0.786905 | − | 0.617074i | \(-0.211682\pi\) | |||||||
\(702\) | −11.4376 | + | 19.8106i | −0.431686 | + | 0.747701i | ||||
\(703\) | 13.7292 | + | 16.6086i | 0.517807 | + | 0.626406i | ||||
\(704\) | 9.57057 | + | 16.5767i | 0.360705 | + | 0.624759i | ||||
\(705\) | 14.1420 | + | 11.8666i | 0.532620 | + | 0.446921i | ||||
\(706\) | 26.0442 | + | 21.8537i | 0.980185 | + | 0.822473i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 3.15270 | − | 1.14749i | 0.118486 | − | 0.0431253i | ||||
\(709\) | −7.14068 | − | 40.4968i | −0.268174 | − | 1.52089i | −0.759842 | − | 0.650107i | \(-0.774724\pi\) |
0.491668 | − | 0.870783i | \(-0.336387\pi\) | |||||||
\(710\) | −5.51249 | + | 9.54791i | −0.206880 | + | 0.358327i | ||||
\(711\) | −62.6715 | −2.35036 | ||||||||
\(712\) | 28.4650 | + | 10.3604i | 1.06677 | + | 0.388273i | ||||
\(713\) | 3.32501 | + | 18.8571i | 0.124523 | + | 0.706202i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.52007 | + | 4.36488i | 0.0942452 | + | 0.163237i | ||||
\(716\) | 0.369423 | + | 2.09510i | 0.0138060 | + | 0.0782976i | ||||
\(717\) | −5.18866 | − | 4.35381i | −0.193774 | − | 0.162596i | ||||
\(718\) | −1.56443 | − | 8.87230i | −0.0583839 | − | 0.331111i | ||||
\(719\) | 39.8387 | − | 14.5001i | 1.48573 | − | 0.540763i | 0.533411 | − | 0.845856i | \(-0.320910\pi\) |
0.952323 | + | 0.305093i | \(0.0986875\pi\) | |||||||
\(720\) | −2.90554 | + | 16.4782i | −0.108283 | + | 0.614105i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 4.07351 | + | 25.2724i | 0.151600 | + | 0.940543i | ||||
\(723\) | 19.8687 | − | 34.4136i | 0.738925 | − | 1.27986i | ||||
\(724\) | 1.48246 | − | 0.539571i | 0.0550952 | − | 0.0200530i | ||||
\(725\) | 5.04916 | − | 28.6352i | 0.187521 | − | 1.06349i | ||||
\(726\) | −17.9552 | + | 15.0662i | −0.666379 | + | 0.559158i | ||||
\(727\) | −48.5411 | + | 17.6675i | −1.80029 | + | 0.655251i | −0.801965 | + | 0.597371i | \(0.796212\pi\) |
−0.998324 | + | 0.0578805i | \(0.981566\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 20.2344 | + | 35.0470i | 0.749423 | + | 1.29804i | ||||
\(730\) | 0.822948 | + | 1.42539i | 0.0304587 | + | 0.0527560i | ||||
\(731\) | 1.39852 | − | 1.17350i | 0.0517261 | − | 0.0434033i | ||||
\(732\) | 3.72075 | − | 3.12208i | 0.137523 | − | 0.115395i | ||||
\(733\) | 11.4581 | + | 19.8460i | 0.423215 | + | 0.733030i | 0.996252 | − | 0.0864997i | \(-0.0275682\pi\) |
−0.573037 | + | 0.819530i | \(0.694235\pi\) | |||||||
\(734\) | 5.46926 | + | 9.47303i | 0.201874 | + | 0.349656i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −2.63816 | + | 0.960210i | −0.0972437 | + | 0.0353938i | ||||
\(737\) | −13.0915 | + | 10.9851i | −0.482232 | + | 0.404641i | ||||
\(738\) | −3.06443 | + | 17.3792i | −0.112803 | + | 0.639738i | ||||
\(739\) | −26.4304 | + | 9.61986i | −0.972256 | + | 0.353872i | −0.778825 | − | 0.627241i | \(-0.784184\pi\) |
−0.193432 | + | 0.981114i | \(0.561962\pi\) | |||||||
\(740\) | 0.401674 | − | 0.695720i | 0.0147658 | − | 0.0255752i | ||||
\(741\) | 31.8555 | − | 5.37549i | 1.17024 | − | 0.197474i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 1.06489 | − | 6.03931i | 0.0390671 | − | 0.221561i | −0.959024 | − | 0.283326i | \(-0.908562\pi\) |
0.998091 | + | 0.0617657i | \(0.0196731\pi\) | |||||||
\(744\) | −56.5963 | + | 20.5994i | −2.07492 | + | 0.755210i | ||||
\(745\) | 2.52869 | + | 14.3409i | 0.0926439 | + | 0.525409i | ||||
\(746\) | −36.0174 | − | 30.2222i | −1.31869 | − | 1.10651i | ||||
\(747\) | −13.6257 | − | 77.2750i | −0.498537 | − | 2.82734i | ||||
\(748\) | −0.0962667 | − | 0.166739i | −0.00351986 | − | 0.00609657i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −5.46585 | − | 30.9984i | −0.199585 | − | 1.13190i | ||||
\(751\) | −5.30066 | − | 1.92928i | −0.193424 | − | 0.0704005i | 0.243492 | − | 0.969903i | \(-0.421707\pi\) |
−0.436916 | + | 0.899502i | \(0.643929\pi\) | |||||||
\(752\) | 26.2199 | 0.956140 | ||||||||
\(753\) | −5.99660 | + | 10.3864i | −0.218528 | + | 0.378502i | ||||
\(754\) | 4.14274 | + | 23.4947i | 0.150870 | + | 0.855625i | ||||
\(755\) | 3.60442 | − | 1.31190i | 0.131178 | − | 0.0477450i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 12.0207 | + | 10.0866i | 0.436900 | + | 0.366602i | 0.834548 | − | 0.550936i | \(-0.185729\pi\) |
−0.397648 | + | 0.917538i | \(0.630173\pi\) | |||||||
\(758\) | −1.75600 | − | 1.47346i | −0.0637806 | − | 0.0535183i | ||||
\(759\) | 8.63816 | + | 14.9617i | 0.313545 | + | 0.543076i | ||||
\(760\) | 9.81274 | − | 5.56947i | 0.355945 | − | 0.202026i | ||||
\(761\) | −2.43242 | + | 4.21307i | −0.0881751 | + | 0.152724i | −0.906740 | − | 0.421691i | \(-0.861437\pi\) |
0.818565 | + | 0.574414i | \(0.194770\pi\) | |||||||
\(762\) | 7.81702 | − | 44.3325i | 0.283181 | − | 1.60600i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 3.18392 | + | 1.15885i | 0.115190 | + | 0.0419257i | ||||
\(765\) | 0.378041 | − | 2.14398i | 0.0136681 | − | 0.0775157i | ||||
\(766\) | 3.71806 | + | 1.35326i | 0.134339 | + | 0.0488954i | ||||
\(767\) | 8.11499 | − | 14.0556i | 0.293015 | − | 0.507517i | ||||
\(768\) | −6.32888 | − | 10.9619i | −0.228374 | − | 0.395555i | ||||
\(769\) | 3.91266 | + | 22.1898i | 0.141094 | + | 0.800184i | 0.970421 | + | 0.241420i | \(0.0776131\pi\) |
−0.829327 | + | 0.558764i | \(0.811276\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0.960637 | − | 1.66387i | 0.0345965 | − | 0.0599229i | ||||
\(772\) | −0.0550065 | −0.00197973 | ||||||||
\(773\) | 24.8380 | + | 9.04028i | 0.893359 | + | 0.325156i | 0.747589 | − | 0.664162i | \(-0.231212\pi\) |
0.145771 | + | 0.989318i | \(0.453434\pi\) | |||||||
\(774\) | −21.3056 | − | 17.8775i | −0.765815 | − | 0.642595i | ||||
\(775\) | 23.0082 | − | 19.3062i | 0.826479 | − | 0.693498i | ||||
\(776\) | 21.3164 | + | 17.8866i | 0.765214 | + | 0.642091i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 33.0993 | 1.18667 | ||||||||
\(779\) | 9.38485 | − | 5.32661i | 0.336247 | − | 0.190846i | ||||
\(780\) | −0.602196 | − | 1.04303i | −0.0215621 | − | 0.0373466i | ||||
\(781\) | −19.4706 | + | 7.08672i | −0.696713 | + | 0.253583i | ||||
\(782\) | −1.59627 | + | 0.580994i | −0.0570824 | + | 0.0207763i | ||||
\(783\) | −42.6416 | − | 15.5203i | −1.52389 | − | 0.554650i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −6.47952 | + | 5.43696i | −0.231264 | + | 0.194054i | ||||
\(786\) | 7.15839 | 0.255331 | ||||||||
\(787\) | −15.5577 | −0.554571 | −0.277286 | − | 0.960788i | \(-0.589435\pi\) | ||||
−0.277286 | + | 0.960788i | \(0.589435\pi\) | |||||||
\(788\) | −1.86025 | + | 1.56094i | −0.0662687 | + | 0.0556061i | ||||
\(789\) | 30.8444 | + | 11.2264i | 1.09809 | + | 0.399671i | ||||
\(790\) | −7.01707 | + | 12.1539i | −0.249656 | + | 0.432417i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −26.5651 | + | 22.2908i | −0.943950 | + | 0.792068i | ||||
\(793\) | 4.08007 | − | 23.1392i | 0.144888 | − | 0.821698i | ||||
\(794\) | 7.44815 | + | 42.2405i | 0.264325 | + | 1.49906i | ||||
\(795\) | 1.24763 | − | 7.07564i | 0.0442487 | − | 0.250947i | ||||
\(796\) | 0.0363398 | + | 0.0304927i | 0.00128803 | + | 0.00108079i | ||||
\(797\) | 33.4935 | 1.18640 | 0.593200 | − | 0.805055i | \(-0.297864\pi\) | ||||
0.593200 | + | 0.805055i | \(0.297864\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −3.41147 | −0.120689 | ||||||||
\(800\) | 3.37346 | + | 2.83067i | 0.119270 | + | 0.100079i | ||||
\(801\) | −9.45471 | + | 53.6203i | −0.334066 | + | 1.89458i | ||||
\(802\) | 0.0202293 | + | 0.114726i | 0.000714322 | + | 0.00405112i | ||||
\(803\) | −0.537141 | + | 3.04628i | −0.0189553 | + | 0.107501i | ||||
\(804\) | 3.12836 | − | 2.62500i | 0.110329 | − | 0.0925767i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −12.3216 | + | 21.3416i | −0.434010 | + | 0.751727i | ||||
\(807\) | 52.4646 | + | 19.0955i | 1.84684 | + | 0.672195i | ||||
\(808\) | −20.8555 | + | 17.4998i | −0.733694 | + | 0.615642i | ||||
\(809\) | 41.1162 | 1.44557 | 0.722784 | − | 0.691074i | \(-0.242862\pi\) | ||||
0.722784 | + | 0.691074i | \(0.242862\pi\) | |||||||
\(810\) | −3.69728 | −0.129909 | ||||||||
\(811\) | 12.7836 | − | 10.7267i | 0.448892 | − | 0.376665i | −0.390132 | − | 0.920759i | \(-0.627571\pi\) |
0.839025 | + | 0.544093i | \(0.183126\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −36.2413 | − | 13.1907i | −1.27104 | − | 0.462620i | ||||
\(814\) | −13.9363 | + | 5.07239i | −0.488467 | + | 0.177787i | ||||
\(815\) | −6.90420 | + | 2.51292i | −0.241844 | + | 0.0880239i | ||||
\(816\) | −2.42262 | − | 4.19610i | −0.0848086 | − | 0.146893i | ||||
\(817\) | −0.125200 | + | 17.0065i | −0.00438021 | + | 0.594984i | ||||
\(818\) | −26.9540 | −0.942424 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.308182 | − | 0.258595i | −0.0107622 | − | 0.00903054i | ||||
\(821\) | −24.0462 | + | 20.1772i | −0.839219 | + | 0.704188i | −0.957388 | − | 0.288805i | \(-0.906742\pi\) |
0.118169 | + | 0.992994i | \(0.462298\pi\) | |||||||
\(822\) | 0.760115 | + | 0.637812i | 0.0265120 | + | 0.0222462i | ||||
\(823\) | −43.5321 | − | 15.8444i | −1.51744 | − | 0.552301i | −0.556929 | − | 0.830560i | \(-0.688020\pi\) |
−0.960506 | + | 0.278259i | \(0.910243\pi\) | |||||||
\(824\) | −16.2184 | −0.564996 | ||||||||
\(825\) | 13.5496 | − | 23.4686i | 0.471738 | − | 0.817073i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 7.07769 | + | 40.1396i | 0.246115 | + | 1.39579i | 0.817888 | + | 0.575377i | \(0.195145\pi\) |
−0.571773 | + | 0.820412i | \(0.693744\pi\) | |||||||
\(828\) | −1.31727 | − | 2.28157i | −0.0457782 | − | 0.0792901i | ||||
\(829\) | 17.7417 | − | 30.7295i | 0.616195 | − | 1.06728i | −0.373979 | − | 0.927437i | \(-0.622007\pi\) |
0.990174 | − | 0.139843i | \(-0.0446598\pi\) | |||||||
\(830\) | −16.5116 | − | 6.00973i | −0.573126 | − | 0.208601i | ||||
\(831\) | −8.87346 | + | 50.3239i | −0.307817 | + | 1.74572i | ||||
\(832\) | −20.7922 | − | 7.56774i | −0.720840 | − | 0.262364i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 2.87211 | − | 16.2886i | 0.0994531 | − | 0.564026i | ||||
\(835\) | −1.77420 | + | 3.07300i | −0.0613986 | + | 0.106345i | ||||
\(836\) | 1.76399 | + | 0.324446i | 0.0610087 | + | 0.0112212i | ||||
\(837\) | −23.4368 | − | 40.5937i | −0.810093 | − | 1.40312i | ||||
\(838\) | −26.2251 | − | 22.0055i | −0.905931 | − | 0.760166i | ||||
\(839\) | −29.2649 | − | 24.5562i | −1.01034 | − | 0.847774i | −0.0219545 | − | 0.999759i | \(-0.506989\pi\) |
−0.988383 | + | 0.151985i | \(0.951433\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −17.2208 | + | 6.26784i | −0.593819 | + | 0.216132i | ||||
\(842\) | −1.02229 | − | 5.79769i | −0.0352304 | − | 0.199802i | ||||
\(843\) | 26.3161 | − | 45.5809i | 0.906376 | − | 1.56989i | ||||
\(844\) | −0.452430 | −0.0155733 | ||||||||
\(845\) | 5.26769 | + | 1.91728i | 0.181214 | + | 0.0659566i | ||||
\(846\) | 9.02481 | + | 51.1823i | 0.310280 | + | 1.75968i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −5.10220 | − | 8.83726i | −0.175210 | − | 0.303473i | ||||
\(849\) | −3.84389 | − | 21.7998i | −0.131922 | − | 0.748167i | ||||
\(850\) | 2.04117 | + | 1.71275i | 0.0700117 | + | 0.0587468i | ||||
\(851\) | −2.31315 | − | 13.1185i | −0.0792937 | − | 0.449697i | ||||
\(852\) | 4.65270 | − | 1.69345i | 0.159399 | − | 0.0580165i | ||||
\(853\) | −4.44568 | + | 25.2127i | −0.152217 | + | 0.863266i | 0.809069 | + | 0.587714i | \(0.199972\pi\) |
−0.961286 | + | 0.275552i | \(0.911139\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 12.9214 | + | 15.6314i | 0.441904 | + | 0.534584i | ||||
\(856\) | −15.0628 | + | 26.0896i | −0.514837 | + | 0.891724i | ||||
\(857\) | 19.8148 | − | 7.21200i | 0.676861 | − | 0.246357i | 0.0193616 | − | 0.999813i | \(-0.493837\pi\) |
0.657499 | + | 0.753455i | \(0.271614\pi\) | |||||||
\(858\) | −3.86097 | + | 21.8966i | −0.131811 | + | 0.747539i | ||||
\(859\) | −14.9893 | + | 12.5775i | −0.511429 | + | 0.429140i | −0.861632 | − | 0.507534i | \(-0.830557\pi\) |
0.350203 | + | 0.936674i | \(0.386113\pi\) | |||||||
\(860\) | 0.595800 | − | 0.216853i | 0.0203166 | − | 0.00739464i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −25.8050 | − | 44.6956i | −0.878922 | − | 1.52234i | ||||
\(863\) | −2.47447 | − | 4.28591i | −0.0842319 | − | 0.145894i | 0.820832 | − | 0.571170i | \(-0.193510\pi\) |
−0.905064 | + | 0.425276i | \(0.860177\pi\) | |||||||
\(864\) | 5.26470 | − | 4.41761i | 0.179109 | − | 0.150290i | ||||
\(865\) | −13.5699 | + | 11.3865i | −0.461389 | + | 0.387151i | ||||
\(866\) | −12.2139 | − | 21.1552i | −0.415047 | − | 0.718882i | ||||
\(867\) | −24.1596 | − | 41.8456i | −0.820502 | − | 1.42115i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −24.7849 | + | 9.02098i | −0.840771 | + | 0.306016i | ||||
\(870\) | −17.9782 | + | 15.0855i | −0.609517 | + | 0.511446i | ||||
\(871\) | 3.43047 | − | 19.4551i | 0.116237 | − | 0.659212i | ||||
\(872\) | 5.04236 | − | 1.83527i | 0.170756 | − | 0.0621500i | ||||
\(873\) | −25.0082 | + | 43.3155i | −0.846400 | + | 1.46601i | ||||
\(874\) | 5.52166 | − | 14.8300i | 0.186773 | − | 0.501633i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0.128356 | − | 0.727940i | 0.00433673 | − | 0.0245948i | ||||
\(877\) | −1.14631 | + | 0.417222i | −0.0387080 | + | 0.0140886i | −0.361302 | − | 0.932449i | \(-0.617668\pi\) |
0.322594 | + | 0.946538i | \(0.395445\pi\) | |||||||
\(878\) | 1.42493 | + | 8.08116i | 0.0480889 | + | 0.272726i | ||||
\(879\) | 23.1668 | + | 19.4393i | 0.781398 | + | 0.655671i | ||||
\(880\) | 1.22281 | + | 6.93491i | 0.0412210 | + | 0.233776i | ||||
\(881\) | −23.2515 | − | 40.2728i | −0.783363 | − | 1.35682i | −0.929972 | − | 0.367630i | \(-0.880169\pi\) |
0.146609 | − | 0.989194i | \(-0.453164\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 2.24438 | + | 12.7285i | 0.0755296 | + | 0.428349i | 0.999001 | + | 0.0446828i | \(0.0142277\pi\) |
−0.923472 | + | 0.383667i | \(0.874661\pi\) | |||||||
\(884\) | 0.209141 | + | 0.0761210i | 0.00703416 | + | 0.00256023i | ||||
\(885\) | 15.9659 | 0.536686 | ||||||||
\(886\) | −20.1374 | + | 34.8791i | −0.676531 | + | 1.17179i | ||||
\(887\) | −4.03286 | − | 22.8715i | −0.135410 | − | 0.767949i | −0.974573 | − | 0.224069i | \(-0.928066\pi\) |
0.839163 | − | 0.543880i | \(-0.183045\pi\) | |||||||
\(888\) | 39.3730 | − | 14.3306i | 1.32127 | − | 0.480904i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 9.34002 | + | 7.83721i | 0.313078 | + | 0.262704i | ||||
\(891\) | −5.32295 | − | 4.46648i | −0.178325 | − | 0.149633i | ||||
\(892\) | −0.786274 | − | 1.36187i | −0.0263264 | − | 0.0455986i | ||||
\(893\) | 20.6065 | − | 24.1939i | 0.689571 | − | 0.809619i | ||||
\(894\) | −32.1202 | + | 55.6338i | −1.07426 | + | 1.86067i | ||||
\(895\) | −1.75800 | + | 9.97011i | −0.0587634 | + | 0.333264i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −18.7665 | − | 6.83045i | −0.626596 | − | 0.228062i | ||||
\(898\) | 2.63198 | − | 14.9267i | 0.0878302 | − | 0.498110i | ||||
\(899\) | −45.9372 | − | 16.7198i | −1.53209 | − | 0.557636i | ||||
\(900\) | −2.06624 | + | 3.57883i | −0.0688746 | + | 0.119294i | ||||
\(901\) | 0.663848 | + | 1.14982i | 0.0221160 | + | 0.0383060i | ||||
\(902\) | 1.28968 | + | 7.31412i | 0.0429416 | + | 0.243534i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 26.0326 | − | 45.0897i | 0.865830 | − | 1.49966i | ||||
\(905\) | 7.50744 | 0.249556 | ||||||||
\(906\) | 15.9008 | + | 5.78742i | 0.528269 | + | 0.192274i | ||||
\(907\) | −30.6393 | − | 25.7095i | −1.01736 | − | 0.853669i | −0.0280687 | − | 0.999606i | \(-0.508936\pi\) |
−0.989294 | + | 0.145937i | \(0.953380\pi\) | |||||||
\(908\) | 2.00316 | − | 1.68085i | 0.0664770 | − | 0.0557809i | ||||
\(909\) | −37.4864 | − | 31.4548i | −1.24334 | − | 1.04329i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −18.7997 | −0.622863 | −0.311431 | − | 0.950269i | \(-0.600808\pi\) | ||||
−0.311431 | + | 0.950269i | \(0.600808\pi\) | |||||||
\(912\) | 44.3919 | + | 8.16490i | 1.46996 | + | 0.270367i | ||||
\(913\) | −16.5116 | − | 28.5989i | −0.546455 | − | 0.946487i | ||||
\(914\) | −29.6129 | + | 10.7782i | −0.979509 | + | 0.356512i | ||||
\(915\) | 21.7199 | − | 7.90539i | 0.718037 | − | 0.261344i | ||||
\(916\) | −3.56552 | − | 1.29774i | −0.117808 | − | 0.0428787i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 3.18551 | − | 2.67296i | 0.105137 | − | 0.0882208i | ||||
\(919\) | 39.8316 | 1.31392 | 0.656962 | − | 0.753924i | \(-0.271841\pi\) | ||||
0.656962 | + | 0.753924i | \(0.271841\pi\) | |||||||
\(920\) | −6.97502 | −0.229960 | ||||||||
\(921\) | 25.7973 | − | 21.6465i | 0.850048 | − | 0.713275i | ||||
\(922\) | −46.3671 | − | 16.8762i | −1.52702 | − | 0.555790i | ||||
\(923\) | 11.9760 | − | 20.7430i | 0.394193 | − | 0.682763i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −16.0064 | + | 13.4310i | −0.526287 | + | 0.441607i | ||||
\(926\) | 10.0569 | − | 57.0355i | 0.330490 | − | 1.87430i | ||||
\(927\) | −5.06212 | − | 28.7087i | −0.166262 | − | 0.942917i | ||||
\(928\) | 1.24463 | − | 7.05866i | 0.0408571 | − | 0.231712i | ||||
\(929\) | 20.6480 | + | 17.3257i | 0.677437 | + | 0.568438i | 0.915256 | − | 0.402872i | \(-0.131988\pi\) |
−0.237819 | + | 0.971310i | \(0.576432\pi\) | |||||||
\(930\) | −24.2422 | −0.794932 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −3.26176 | −0.106843 | ||||||||
\(933\) | −35.2165 | − | 29.5501i | −1.15294 | − | 0.967428i | ||||
\(934\) | −5.98839 | + | 33.9618i | −0.195946 | + | 1.11127i | ||||
\(935\) | −0.159100 | − | 0.902302i | −0.00520313 | − | 0.0295084i | ||||
\(936\) | 6.96105 | − | 39.4781i | 0.227529 | − | 1.29038i | ||||
\(937\) | 2.00980 | − | 1.68642i | 0.0656573 | − | 0.0550930i | −0.609368 | − | 0.792887i | \(-0.708577\pi\) |
0.675026 | + | 0.737794i | \(0.264133\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −38.3371 | + | 66.4018i | −1.25108 | + | 2.16694i | ||||
\(940\) | −1.11334 | − | 0.405223i | −0.0363132 | − | 0.0132169i | ||||
\(941\) | −14.3018 | + | 12.0006i | −0.466224 | + | 0.391208i | −0.845415 | − | 0.534110i | \(-0.820647\pi\) |
0.379191 | + | 0.925318i | \(0.376202\pi\) | |||||||
\(942\) | −37.3141 | −1.21576 | ||||||||
\(943\) | −6.67087 | −0.217234 | ||||||||
\(944\) | 17.3708 | − | 14.5758i | 0.565370 | − | 0.474402i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −10.9991 | − | 4.00335i | −0.357612 | − | 0.130160i | ||||
\(947\) | −7.89306 | + | 2.87284i | −0.256490 | + | 0.0933547i | −0.467065 | − | 0.884223i | \(-0.654689\pi\) |
0.210575 | + | 0.977578i | \(0.432466\pi\) | |||||||
\(948\) | 5.92262 | − | 2.15566i | 0.192358 | − | 0.0700125i | ||||
\(949\) | −1.78787 | − | 3.09668i | −0.0580366 | − | 0.100522i | ||||
\(950\) | −24.4761 | + | 4.13025i | −0.794110 | + | 0.134003i | ||||
\(951\) | −85.0343 | −2.75742 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 25.8102 | + | 21.6573i | 0.836075 | + | 0.701550i | 0.956677 | − | 0.291151i | \(-0.0940382\pi\) |
−0.120602 | + | 0.992701i | \(0.538483\pi\) | |||||||
\(954\) | 15.4945 | − | 13.0015i | 0.501654 | − | 0.420938i | ||||
\(955\) | 12.3516 | + | 10.3643i | 0.399689 | + | 0.335379i | ||||
\(956\) | 0.408481 | + | 0.148675i | 0.0132112 | + | 0.00480849i | ||||
\(957\) | −44.1070 | −1.42578 | ||||||||
\(958\) | 25.7173 | − | 44.5438i | 0.830890 | − | 1.43914i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −3.77972 | − | 21.4358i | −0.121990 | − | 0.691838i | ||||
\(961\) | −9.74809 | − | 16.8842i | −0.314455 | − | 0.544651i | ||||
\(962\) | 8.57192 | − | 14.8470i | 0.276370 | − | 0.478686i | ||||
\(963\) | −50.8833 | − | 18.5200i | −1.63969 | − | 0.596799i | ||||
\(964\) | −0.442848 | + | 2.51151i | −0.0142632 | + | 0.0808904i | ||||
\(965\) | −0.245977 | − | 0.0895284i | −0.00791829 | − | 0.00288202i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 2.03920 | − | 11.5649i | 0.0655763 | − | 0.371902i | −0.934305 | − | 0.356475i | \(-0.883978\pi\) |
0.999881 | − | 0.0154262i | \(-0.00491051\pi\) | |||||||
\(968\) | 8.89234 | − | 15.4020i | 0.285811 | − | 0.495039i | ||||
\(969\) | −5.77584 | − | 1.06234i | −0.185547 | − | 0.0341272i | ||||
\(970\) | 5.60014 | + | 9.69972i | 0.179810 | + | 0.311439i | ||||
\(971\) | 9.81252 | + | 8.23368i | 0.314899 | + | 0.264231i | 0.786513 | − | 0.617573i | \(-0.211884\pi\) |
−0.471615 | + | 0.881805i | \(0.656329\pi\) | |||||||
\(972\) | −1.52931 | − | 1.28325i | −0.0490528 | − | 0.0411602i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 9.82934 | − | 3.57759i | 0.314953 | − | 0.114633i | ||||
\(975\) | 5.43969 | + | 30.8500i | 0.174210 | + | 0.987992i | ||||
\(976\) | 16.4140 | − | 28.4299i | 0.525399 | − | 0.910018i | ||||
\(977\) | 14.5276 | 0.464781 | 0.232390 | − | 0.972623i | \(-0.425345\pi\) | ||||
0.232390 | + | 0.972623i | \(0.425345\pi\) | |||||||
\(978\) | −30.4577 | − | 11.0857i | −0.973930 | − | 0.354481i | ||||
\(979\) | 3.97906 | + | 22.5663i | 0.127171 | + | 0.721224i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 4.82248 | + | 8.35278i | 0.153970 | + | 0.266684i | ||||
\(982\) | 8.59152 | + | 48.7249i | 0.274166 | + | 1.55487i | ||||
\(983\) | −28.3821 | − | 23.8154i | −0.905249 | − | 0.759594i | 0.0659599 | − | 0.997822i | \(-0.478989\pi\) |
−0.971209 | + | 0.238228i | \(0.923433\pi\) | |||||||
\(984\) | −3.64362 | − | 20.6640i | −0.116154 | − | 0.658744i | ||||
\(985\) | −10.8592 | + | 3.95243i | −0.346003 | + | 0.125935i | ||||
\(986\) | 0.753089 | − | 4.27098i | 0.0239832 | − | 0.136016i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −1.80313 | + | 1.02341i | −0.0573652 | + | 0.0325591i | ||||
\(989\) | 5.25671 | − | 9.10489i | 0.167154 | − | 0.289519i | ||||
\(990\) | −13.1163 | + | 4.77396i | −0.416864 | + | 0.151726i | ||||
\(991\) | 0.595856 | − | 3.37927i | 0.0189280 | − | 0.107346i | −0.973880 | − | 0.227063i | \(-0.927088\pi\) |
0.992808 | + | 0.119717i | \(0.0381988\pi\) | |||||||
\(992\) | 5.67159 | − | 4.75903i | 0.180073 | − | 0.151099i | ||||
\(993\) | 74.8556 | − | 27.2452i | 2.37547 | − | 0.864600i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0.112874 | + | 0.195503i | 0.00357835 | + | 0.00619788i | ||||
\(996\) | 3.94562 | + | 6.83402i | 0.125022 | + | 0.216544i | ||||
\(997\) | 9.78699 | − | 8.21226i | 0.309957 | − | 0.260085i | −0.474517 | − | 0.880246i | \(-0.657377\pi\) |
0.784474 | + | 0.620161i | \(0.212933\pi\) | |||||||
\(998\) | −5.08441 | + | 4.26632i | −0.160944 | + | 0.135048i | ||||
\(999\) | 16.3045 | + | 28.2403i | 0.515852 | + | 0.893483i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))