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 | 655.1 | ||
Root | \(-0.766044 + 0.642788i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 931.655 |
Dual form | 931.2.x.b.226.1 |
$q$-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 \(\left(\mathbb{Z}/931\mathbb{Z}\right)^\times\).
\(n\) | \(248\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{4}{9}\right)\) |
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 | −0.930076 | − | 0.367366i | \(-0.880260\pi\) |
0.200279 | + | 0.979739i | \(0.435815\pi\) | |||||||
\(3\) | 0.500000 | + | 2.83564i | 0.288675 | + | 1.63716i | 0.691854 | + | 0.722037i | \(0.256794\pi\) |
−0.403179 | + | 0.915121i | \(0.632095\pi\) | |||||||
\(4\) | −0.0320889 | + | 0.181985i | −0.0160444 | + | 0.0909926i | ||||
\(5\) | −0.152704 | − | 0.866025i | −0.0682911 | − | 0.387298i | −0.999726 | − | 0.0233912i | \(-0.992554\pi\) |
0.931435 | − | 0.363907i | \(-0.118557\pi\) | |||||||
\(6\) | −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 | \(-0.393960\pi\) |
−0.873881 | + | 0.486140i | \(0.838404\pi\) | |||||||
\(14\) | 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 | \(-0.370817\pi\) |
−0.288149 | + | 0.957586i | \(0.593040\pi\) | |||||||
\(18\) | 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 | 0.401696 | − | 0.915773i | \(-0.368421\pi\) |
−0.832107 | + | 0.554616i | \(0.812865\pi\) | |||||||
\(24\) | 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 | 0.646822 | + | 0.762641i | \(0.276097\pi\) |
−0.868653 | + | 0.495421i | \(0.835014\pi\) | |||||||
\(30\) | −1.70574 | + | 2.95442i | −0.311424 | + | 0.539401i | ||||
\(31\) | −3.55303 | − | 6.15403i | −0.638144 | − | 1.10530i | −0.985840 | − | 0.167690i | \(-0.946369\pi\) |
0.347696 | − | 0.937607i | \(-0.386964\pi\) | |||||||
\(32\) | 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 | 0.588120 | − | 0.808774i | \(-0.299868\pi\) |
−0.994479 | + | 0.104940i | \(0.966535\pi\) | |||||||
\(38\) | 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 | \(-0.784146\pi\) |
0.482574 | + | 0.875855i | \(0.339702\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.66637 | − | 1.33445i | −0.559117 | − | 0.203502i | 0.0469757 | − | 0.998896i | \(-0.485042\pi\) |
−0.606093 | + | 0.795394i | \(0.707264\pi\) | |||||||
\(44\) | 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 | \(-0.789573\pi\) |
−0.210013 | + | 0.977699i | \(0.567351\pi\) | |||||||
\(48\) | −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 | 0.932086 | + | 0.362238i | \(0.117987\pi\) |
−0.999767 | + | 0.0216005i | \(0.993124\pi\) | |||||||
\(54\) | 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 | \(-0.523516\pi\) |
−0.697577 | + | 0.716510i | \(0.745738\pi\) | |||||||
\(60\) | 0.0812519 | + | 0.460802i | 0.0104896 | + | 0.0594893i | ||||
\(61\) | −6.99273 | − | 5.86759i | −0.895327 | − | 0.751268i | 0.0739445 | − | 0.997262i | \(-0.476441\pi\) |
−0.969271 | + | 0.245994i | \(0.920886\pi\) | |||||||
\(62\) | 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 | 0.926909 | − | 0.375286i | \(-0.122455\pi\) |
−0.208628 | + | 0.977995i | \(0.566900\pi\) | |||||||
\(68\) | −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 | 0.804026 | − | 0.594594i | \(-0.202687\pi\) |
0.233722 | + | 0.972303i | \(0.424909\pi\) | |||||||
\(72\) | 11.9304 | + | 10.0108i | 1.40601 | + | 1.17978i | ||||
\(73\) | −0.241230 | − | 1.36808i | −0.0282338 | − | 0.160122i | 0.967431 | − | 0.253134i | \(-0.0814614\pi\) |
−0.995665 | + | 0.0930125i | \(0.970350\pi\) | |||||||
\(74\) | 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 | 0.881186 | − | 0.472770i | \(-0.156746\pi\) |
0.371136 | + | 0.928578i | \(0.378968\pi\) | |||||||
\(80\) | 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 | 0.0961469 | + | 0.995367i | \(0.469348\pi\) |
−0.910087 | + | 0.414418i | \(0.863985\pi\) | |||||||
\(84\) | 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 | −0.730723 | − | 0.682674i | \(-0.760817\pi\) |
0.920143 | − | 0.391582i | \(-0.128072\pi\) | |||||||
\(90\) | −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 | −0.947320 | − | 0.320287i | \(-0.896221\pi\) |
0.780645 | − | 0.624974i | \(-0.214891\pi\) | |||||||
\(98\) | 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 | \(-0.763317\pi\) |
−0.128744 | + | 0.991678i | \(0.541095\pi\) | |||||||
\(102\) | −0.907604 | − | 1.57202i | −0.0898662 | − | 0.155653i | ||||
\(103\) | −2.75490 | + | 4.77163i | −0.271448 | + | 0.470162i | −0.969233 | − | 0.246145i | \(-0.920836\pi\) |
0.697785 | + | 0.716308i | \(0.254169\pi\) | |||||||
\(104\) | −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 | −0.707212 | − | 0.707002i | \(-0.750047\pi\) |
0.573455 | + | 0.819237i | \(0.305603\pi\) | |||||||
\(110\) | −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 | 0.945445 | − | 0.325782i | \(-0.105627\pi\) |
−0.156657 | + | 0.987653i | \(0.550072\pi\) | |||||||
\(128\) | −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 | \(-0.747909\pi\) |
0.578945 | + | 0.815366i | \(0.303464\pi\) | |||||||
\(132\) | 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 | −0.982852 | − | 0.184398i | \(-0.940966\pi\) |
0.986646 | + | 0.162878i | \(0.0520775\pi\) | |||||||
\(138\) | 1.81521 | + | 10.2946i | 0.154521 | + | 0.876331i | ||||
\(139\) | −3.26604 | − | 2.74054i | −0.277022 | − | 0.232449i | 0.493682 | − | 0.869643i | \(-0.335651\pi\) |
−0.770704 | + | 0.637193i | \(0.780095\pi\) | |||||||
\(140\) | 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 | −0.386083 | − | 0.922464i | \(-0.626172\pi\) |
−0.888705 | + | 0.458479i | \(0.848394\pi\) | |||||||
\(150\) | −15.4081 | − | 5.60808i | −1.25806 | − | 0.457898i | ||||
\(151\) | 2.18092 | − | 3.77747i | 0.177481 | − | 0.307406i | −0.763536 | − | 0.645765i | \(-0.776539\pi\) |
0.941017 | + | 0.338359i | \(0.109872\pi\) | |||||||
\(152\) | −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 | \(-0.596830\pi\) |
0.887579 | + | 0.460655i | \(0.152385\pi\) | |||||||
\(158\) | −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 | −0.981957 | − | 0.189105i | \(-0.939441\pi\) |
0.654748 | + | 0.755847i | \(0.272775\pi\) | |||||||
\(164\) | −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 | \(-0.561212\pi\) |
0.484533 | + | 0.874773i | \(0.338990\pi\) | |||||||
\(168\) | 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 | \(-0.444588\pi\) |
1.00000 | 0.000452057i | \(0.000143894\pi\) | ||||||||
\(174\) | 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 | 0.878829 | + | 0.477136i | \(0.158325\pi\) |
−0.989020 | + | 0.147784i | \(0.952786\pi\) | |||||||
\(182\) | 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 | −0.979729 | − | 0.200327i | \(-0.935800\pi\) |
0.316376 | − | 0.948634i | \(-0.397534\pi\) | |||||||
\(192\) | −23.2592 | − | 8.46567i | −1.67859 | − | 0.610957i | ||||
\(193\) | 0.0516892 | + | 0.293144i | 0.00372067 | + | 0.0211010i | 0.986612 | − | 0.163088i | \(-0.0521454\pi\) |
−0.982891 | + | 0.184189i | \(0.941034\pi\) | |||||||
\(194\) | 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 | −0.999337 | − | 0.0364128i | \(-0.988407\pi\) |
0.531203 | + | 0.847245i | \(0.321740\pi\) | |||||||
\(198\) | −7.93629 | + | 13.7461i | −0.564008 | + | 0.976890i | ||||
\(199\) | 0.196652 | + | 0.165011i | 0.0139403 | + | 0.0116973i | 0.649731 | − | 0.760164i | \(-0.274881\pi\) |
−0.635791 | + | 0.771861i | \(0.719326\pi\) | |||||||
\(200\) | −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 | 0.995938 | − | 0.0900364i | \(-0.0286983\pi\) |
−0.966670 | + | 0.256024i | \(0.917587\pi\) | |||||||
\(212\) | −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 | \(-0.480859\pi\) |
−0.595589 | + | 0.803289i | \(0.703081\pi\) | |||||||
\(224\) | 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 | \(-0.988937\pi\) |
0.529790 | + | 0.848129i | \(0.322271\pi\) | |||||||
\(228\) | 0.809278 | + | 2.17355i | 0.0535957 | + | 0.143947i | ||||
\(229\) | −10.2665 | − | 17.7821i | −0.678430 | − | 1.17508i | −0.975454 | − | 0.220205i | \(-0.929327\pi\) |
0.297023 | − | 0.954870i | \(-0.404006\pi\) | |||||||
\(230\) | −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 | 0.903916 | + | 0.427711i | \(0.140680\pi\) |
−0.703117 | + | 0.711074i | \(0.748209\pi\) | |||||||
\(234\) | −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 | 0.825475 | − | 0.564438i | \(-0.190907\pi\) |
−0.901556 | + | 0.432663i | \(0.857574\pi\) | |||||||
\(240\) | 9.10607 | 0.587794 | ||||||||
\(241\) | 12.9684 | − | 4.72010i | 0.835367 | − | 0.304049i | 0.111307 | − | 0.993786i | \(-0.464496\pi\) |
0.724060 | + | 0.689737i | \(0.242274\pi\) | |||||||
\(242\) | 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 | \(-0.653075\pi\) |
0.215528 | + | 0.976498i | \(0.430853\pi\) | |||||||
\(252\) | 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 | \(-0.604486\pi\) |
0.361502 | + | 0.932371i | \(0.382264\pi\) | |||||||
\(258\) | 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 | 0.983009 | + | 0.183556i | \(0.0587609\pi\) |
−0.860947 | + | 0.508695i | \(0.830128\pi\) | |||||||
\(264\) | −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 | −0.896978 | − | 0.442076i | \(-0.854242\pi\) |
0.691684 | − | 0.722200i | \(-0.256869\pi\) | |||||||
\(270\) | 1.35710 | − | 7.69648i | 0.0825903 | − | 0.468393i | ||||
\(271\) | 2.32588 | + | 13.1907i | 0.141287 | + | 0.801281i | 0.970273 | + | 0.242011i | \(0.0778072\pi\) |
−0.828986 | + | 0.559269i | \(0.811082\pi\) | |||||||
\(272\) | 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 | −0.799050 | − | 0.601265i | \(-0.794664\pi\) |
−0.225622 | + | 0.974215i | \(0.572442\pi\) | |||||||
\(282\) | 26.5783 | + | 9.67372i | 1.58272 | + | 0.576061i | ||||
\(283\) | 7.22416 | + | 2.62938i | 0.429431 | + | 0.156300i | 0.547688 | − | 0.836683i | \(-0.315508\pi\) |
−0.118256 | + | 0.992983i | \(0.537730\pi\) | |||||||
\(284\) | −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 | \(-0.265924\pi\) |
−0.977660 | + | 0.210195i | \(0.932590\pi\) | |||||||
\(294\) | 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 | \(-0.613908\pi\) |
0.861598 | + | 0.507591i | \(0.169464\pi\) | |||||||
\(308\) | 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 | \(-0.0171382\pi\) |
−0.545881 | + | 0.837863i | \(0.683805\pi\) | |||||||
\(312\) | −21.8161 | −1.23510 | ||||||||
\(313\) | −25.0228 | + | 9.10754i | −1.41437 | + | 0.514788i | −0.932409 | − | 0.361404i | \(-0.882297\pi\) |
−0.481961 | + | 0.876193i | \(0.660075\pi\) | |||||||
\(314\) | −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 | −0.406236 | − | 0.913768i | \(-0.633159\pi\) |
0.694264 | − | 0.719720i | \(-0.255730\pi\) | |||||||
\(318\) | 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 | 0.182371 | + | 0.983230i | \(0.441623\pi\) |
−0.942687 | + | 0.333677i | \(0.891710\pi\) | |||||||
\(332\) | −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 | −0.158279 | − | 0.987394i | \(-0.550594\pi\) |
−0.755934 | + | 0.654648i | \(0.772817\pi\) | |||||||
\(338\) | 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 | −0.754220 | − | 0.656622i | \(-0.771985\pi\) |
0.515677 | + | 0.856783i | \(0.327540\pi\) | |||||||
\(348\) | 0.635630 | − | 3.60483i | 0.0340733 | − | 0.193239i | ||||
\(349\) | 2.68614 | − | 4.65253i | 0.143786 | − | 0.249044i | −0.785134 | − | 0.619326i | \(-0.787406\pi\) |
0.928919 | + | 0.370282i | \(0.120739\pi\) | |||||||
\(350\) | 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 | \(-0.265630\pi\) | ||||
0.671546 | + | 0.740963i | \(0.265630\pi\) | |||||||
\(354\) | 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 | −0.497525 | − | 0.867449i | \(-0.665758\pi\) |
0.767877 | + | 0.640598i | \(0.221313\pi\) | |||||||
\(360\) | 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 | \(-0.543146\pi\) |
0.533375 | + | 0.845879i | \(0.320924\pi\) | |||||||
\(368\) | −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 | \(-0.364983\pi\) |
−0.270550 | + | 0.962706i | \(0.587206\pi\) | |||||||
\(384\) | 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 | 0.0258092 | − | 0.999667i | \(-0.491784\pi\) |
−0.979998 | + | 0.199007i | \(0.936228\pi\) | |||||||
\(390\) | 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 | 0.225371 | − | 0.974273i | \(-0.427640\pi\) |
0.998607 | − | 0.0527667i | \(-0.0168040\pi\) | |||||||
\(398\) | −0.345866 | −0.0173367 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 15.2003 | 0.760014 | ||||||||
\(401\) | −0.0662372 | + | 0.0555796i | −0.00330773 | + | 0.00277551i | −0.644440 | − | 0.764655i | \(-0.722909\pi\) |
0.641132 | + | 0.767430i | \(0.278465\pi\) | |||||||
\(402\) | −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 | \(-0.442469\pi\) |
−0.937552 | + | 0.347845i | \(0.886914\pi\) | |||||||
\(410\) | −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 | \(-0.713141\pi\) | ||||
−0.620673 | + | 0.784070i | \(0.713141\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.34730 | − | 2.80872i | 0.163137 | − | 0.136888i | −0.557565 | − | 0.830134i | \(-0.688264\pi\) |
0.720702 | + | 0.693245i | \(0.243820\pi\) | |||||||
\(422\) | −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 | 0.734981 | − | 0.678088i | \(-0.237191\pi\) |
0.998894 | + | 0.0470089i | \(0.0149689\pi\) | |||||||
\(432\) | −4.11927 | − | 23.3615i | −0.198188 | − | 1.12398i | ||||
\(433\) | −17.0376 | + | 6.20118i | −0.818775 | + | 0.298010i | −0.717244 | − | 0.696823i | \(-0.754597\pi\) |
−0.101532 | + | 0.994832i | \(0.532374\pi\) | |||||||
\(434\) | 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 | \(-0.675793\pi\) |
0.747302 | + | 0.664485i | \(0.231349\pi\) | |||||||
\(440\) | 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 | 0.570059 | + | 0.821604i | \(0.306920\pi\) |
−0.816685 | + | 0.577084i | \(0.804191\pi\) | |||||||
\(444\) | 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 | −0.702226 | − | 0.711955i | \(-0.747810\pi\) |
0.967683 | + | 0.252168i | \(0.0811435\pi\) | |||||||
\(450\) | 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 | 0.998473 | + | 0.0552352i | \(0.0175909\pi\) |
−0.451402 | + | 0.892321i | \(0.649076\pi\) | |||||||
\(458\) | 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 | \(-0.714026\pi\) |
−0.980011 | + | 0.198945i | \(0.936249\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 21.4932 | − | 37.2273i | 0.998873 | − | 1.73010i | 0.458340 | − | 0.888777i | \(-0.348444\pi\) |
0.540534 | − | 0.841322i | \(-0.318222\pi\) | |||||||
\(464\) | −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 | −0.401705 | − | 0.915769i | \(-0.631582\pi\) |
0.993932 | − | 0.109998i | \(-0.0350845\pi\) | |||||||
\(468\) | −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 | 0.330343 | + | 0.943861i | \(0.392836\pi\) |
−0.633240 | + | 0.773955i | \(0.718275\pi\) | |||||||
\(480\) | 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 | 0.764568 | − | 0.644543i | \(-0.222952\pi\) |
−0.940475 | + | 0.339864i | \(0.889619\pi\) | |||||||
\(488\) | −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 | −0.274954 | + | 0.961457i | \(0.588663\pi\) |
−0.994596 | + | 0.103822i | \(0.966893\pi\) | |||||||
\(492\) | 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 | 0.997950 | − | 0.0639981i | \(-0.0203852\pi\) |
−0.959655 | + | 0.281180i | \(0.909274\pi\) | |||||||
\(500\) | 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 | 0.540663 | + | 0.841239i | \(0.318173\pi\) |
−0.795778 | + | 0.605589i | \(0.792938\pi\) | |||||||
\(504\) | 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 | 0.996284 | + | 0.0861240i | \(0.0274481\pi\) |
0.257819 | + | 0.966193i | \(0.416996\pi\) | |||||||
\(510\) | −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 | \(-0.565245\pi\) | ||||
−0.203540 | + | 0.979067i | \(0.565245\pi\) | |||||||
\(522\) | 37.5658 | + | 31.5215i | 1.64421 | + | 1.37966i | ||||
\(523\) | −26.7015 | + | 9.71854i | −1.16757 | + | 0.424962i | −0.851797 | − | 0.523872i | \(-0.824487\pi\) |
−0.315776 | + | 0.948834i | \(0.602265\pi\) | |||||||
\(524\) | −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 | −0.626498 | − | 0.779423i | \(-0.715512\pi\) |
0.0210779 | + | 0.999778i | \(0.493290\pi\) | |||||||
\(542\) | −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 | −0.262748 | − | 0.964864i | \(-0.584629\pi\) |
0.418926 | + | 0.908020i | \(0.362407\pi\) | |||||||
\(548\) | 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 | −0.591238 | − | 0.806497i | \(-0.701361\pi\) |
0.0654914 | + | 0.997853i | \(0.479138\pi\) | |||||||
\(558\) | −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 | \(-0.0941852\pi\) |
−0.730798 | + | 0.682594i | \(0.760852\pi\) | |||||||
\(564\) | 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 | 0.971965 | − | 0.235125i | \(-0.0755499\pi\) |
−0.689607 | + | 0.724184i | \(0.742217\pi\) | |||||||
\(570\) | 14.6630 | + | 2.47432i | 0.614164 | + | 0.103638i | ||||
\(571\) | −6.33275 | + | 10.9686i | −0.265017 | + | 0.459023i | −0.967568 | − | 0.252610i | \(-0.918711\pi\) |
0.702551 | + | 0.711634i | \(0.252044\pi\) | |||||||
\(572\) | −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 | \(-0.237172\pi\) |
−0.954714 | + | 0.297526i | \(0.903839\pi\) | |||||||
\(578\) | 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 | 0.973240 | + | 0.229791i | \(0.0738041\pi\) |
−0.835954 | + | 0.548800i | \(0.815085\pi\) | |||||||
\(588\) | 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 | \(-0.220646\pi\) |
−0.495706 | + | 0.868490i | \(0.665091\pi\) | |||||||
\(594\) | −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 | 0.898031 | − | 0.439932i | \(-0.144997\pi\) |
−0.277307 | + | 0.960781i | \(0.589442\pi\) | |||||||
\(600\) | 17.9119 | − | 31.0244i | 0.731252 | − | 1.26657i | ||||
\(601\) | −16.8807 | + | 29.2383i | −0.688579 | + | 1.19265i | 0.283718 | + | 0.958908i | \(0.408432\pi\) |
−0.972298 | + | 0.233747i | \(0.924901\pi\) | |||||||
\(602\) | 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 | 0.962539 | + | 0.271144i | \(0.0874018\pi\) |
−0.246452 | + | 0.969155i | \(0.579265\pi\) | |||||||
\(608\) | −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 | −0.311010 | − | 0.950407i | \(-0.600667\pi\) |
0.881962 | + | 0.471321i | \(0.156223\pi\) | |||||||
\(614\) | −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 | 0.560408 | + | 0.828217i | \(0.310644\pi\) |
−0.809878 | + | 0.586598i | \(0.800467\pi\) | |||||||
\(618\) | 20.0856 | − | 7.31056i | 0.807961 | − | 0.294074i | ||||
\(619\) | −3.65951 | −0.147088 | −0.0735441 | − | 0.997292i | \(-0.523431\pi\) | ||||
−0.0735441 | + | 0.997292i | \(0.523431\pi\) | |||||||
\(620\) | −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 | −0.327129 | − | 0.944980i | \(-0.606081\pi\) |
0.356826 | + | 0.934171i | \(0.383859\pi\) | |||||||
\(632\) | −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 | −0.0789927 | − | 0.996875i | \(-0.525170\pi\) |
0.968013 | + | 0.250898i | \(0.0807259\pi\) | |||||||
\(642\) | −30.4145 | − | 25.5208i | −1.20036 | − | 1.00722i | ||||
\(643\) | −17.0168 | + | 14.2788i | −0.671078 | + | 0.563101i | −0.913384 | − | 0.407098i | \(-0.866541\pi\) |
0.242306 | + | 0.970200i | \(0.422096\pi\) | |||||||
\(644\) | 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 | \(-0.762297\pi\) |
0.955209 | + | 0.295932i | \(0.0956302\pi\) | |||||||
\(648\) | −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 | 0.956732 | − | 0.290970i | \(-0.0939781\pi\) |
−0.120415 | + | 0.992724i | \(0.538423\pi\) | |||||||
\(660\) | −0.180922 | − | 1.02606i | −0.00704238 | − | 0.0399393i | ||||
\(661\) | −1.97400 | + | 11.1951i | −0.0767798 | + | 0.435440i | 0.922050 | + | 0.387071i | \(0.126513\pi\) |
−0.998830 | + | 0.0483686i | \(0.984598\pi\) | |||||||
\(662\) | −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 | 0.980344 | − | 0.197296i | \(-0.0632160\pi\) |
−0.661035 | + | 0.750355i | \(0.729883\pi\) | |||||||
\(674\) | 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 | \(-0.444362\pi\) | ||||
0.173903 | + | 0.984763i | \(0.444362\pi\) | |||||||
\(678\) | 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 | −0.937381 | − | 0.348305i | \(-0.886757\pi\) |
0.770332 | + | 0.637643i | \(0.220091\pi\) | |||||||
\(684\) | −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 | \(-0.729617\pi\) | ||||
−0.660409 | + | 0.750906i | \(0.729617\pi\) | |||||||
\(692\) | 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 | 0.786905 | + | 0.617074i | \(0.211682\pi\) |
−0.528397 | + | 0.848997i | \(0.677207\pi\) | |||||||
\(702\) | −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 | 0.491668 | + | 0.870783i | \(0.336387\pi\) |
−0.759842 | + | 0.650107i | \(0.774724\pi\) | |||||||
\(710\) | 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 | \(-0.679090\pi\) |
−0.952323 | + | 0.305093i | \(0.901312\pi\) | |||||||
\(720\) | 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 | 0.998324 | + | 0.0578805i | \(0.0184342\pi\) |
0.801965 | + | 0.597371i | \(0.203788\pi\) | |||||||
\(728\) | 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 | \(-0.972432\pi\) |
0.573037 | + | 0.819530i | \(0.305765\pi\) | |||||||
\(734\) | −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 | −0.193432 | − | 0.981114i | \(-0.561962\pi\) |
−0.778825 | + | 0.627241i | \(0.784184\pi\) | |||||||
\(740\) | −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 | 0.998091 | − | 0.0617657i | \(-0.0196731\pi\) |
−0.959024 | + | 0.283326i | \(0.908562\pi\) | |||||||
\(744\) | −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 | −0.436916 | − | 0.899502i | \(-0.643929\pi\) |
0.243492 | + | 0.969903i | \(0.421707\pi\) | |||||||
\(752\) | −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 | −0.397648 | − | 0.917538i | \(-0.630173\pi\) |
0.834548 | + | 0.550936i | \(0.185729\pi\) | |||||||
\(758\) | −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 | \(-0.138563\pi\) |
−0.818565 | + | 0.574414i | \(0.805230\pi\) | |||||||
\(762\) | −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 | 0.829327 | + | 0.558764i | \(0.188724\pi\) |
−0.970421 | + | 0.241420i | \(0.922387\pi\) | |||||||
\(770\) | 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 | \(-0.768788\pi\) |
−0.145771 | + | 0.989318i | \(0.546566\pi\) | |||||||
\(774\) | −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 | \(-0.410565\pi\) | ||||
0.277286 | + | 0.960788i | \(0.410565\pi\) | |||||||
\(788\) | −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 | \(-0.702136\pi\) | ||||
−0.593200 | + | 0.805055i | \(0.702136\pi\) | |||||||
\(798\) | 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 | \(-0.372429\pi\) |
−0.839025 | + | 0.544093i | \(0.816874\pi\) | |||||||
\(812\) | 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 | 0.118169 | − | 0.992994i | \(-0.462298\pi\) |
−0.957388 | + | 0.288805i | \(0.906742\pi\) | |||||||
\(822\) | −0.760115 | + | 0.637812i | −0.0265120 | + | 0.0222462i | ||||
\(823\) | −43.5321 | + | 15.8444i | −1.51744 | + | 0.552301i | −0.960506 | − | 0.278259i | \(-0.910243\pi\) |
−0.556929 | + | 0.830560i | \(0.688020\pi\) | |||||||
\(824\) | 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 | −0.571773 | − | 0.820412i | \(-0.693744\pi\) |
0.817888 | − | 0.575377i | \(-0.195145\pi\) | |||||||
\(828\) | −1.31727 | + | 2.28157i | −0.0457782 | + | 0.0792901i | ||||
\(829\) | −17.7417 | − | 30.7295i | −0.616195 | − | 1.06728i | −0.990174 | − | 0.139843i | \(-0.955340\pi\) |
0.373979 | − | 0.927437i | \(-0.377993\pi\) | |||||||
\(830\) | −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 | \(-0.493011\pi\) |
0.988383 | + | 0.151985i | \(0.0485667\pi\) | |||||||
\(840\) | 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 | 0.961286 | + | 0.275552i | \(0.0888608\pi\) |
−0.809069 | + | 0.587714i | \(0.800028\pi\) | |||||||
\(854\) | 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 | \(-0.506163\pi\) |
−0.657499 | + | 0.753455i | \(0.728386\pi\) | |||||||
\(858\) | −3.86097 | − | 21.8966i | −0.131811 | − | 0.747539i | ||||
\(859\) | 14.9893 | + | 12.5775i | 0.511429 | + | 0.429140i | 0.861632 | − | 0.507534i | \(-0.169443\pi\) |
−0.350203 | + | 0.936674i | \(0.613887\pi\) | |||||||
\(860\) | −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 | −0.905064 | − | 0.425276i | \(-0.860177\pi\) |
0.820832 | + | 0.571170i | \(0.193510\pi\) | |||||||
\(864\) | −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 | 0.322594 | − | 0.946538i | \(-0.395445\pi\) |
−0.361302 | + | 0.932449i | \(0.617668\pi\) | |||||||
\(878\) | −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 | −0.146609 | − | 0.989194i | \(-0.546836\pi\) |
0.929972 | − | 0.367630i | \(-0.119831\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 2.24438 | − | 12.7285i | 0.0755296 | − | 0.428349i | −0.923472 | − | 0.383667i | \(-0.874661\pi\) |
0.999001 | − | 0.0446828i | \(-0.0142277\pi\) | |||||||
\(884\) | 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 | −0.839163 | − | 0.543880i | \(-0.816955\pi\) |
0.974573 | − | 0.224069i | \(-0.0719342\pi\) | |||||||
\(888\) | −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 | −0.989294 | − | 0.145937i | \(-0.953380\pi\) |
−0.0280687 | + | 0.999606i | \(0.508936\pi\) | |||||||
\(908\) | −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 | \(-0.868012\pi\) |
0.237819 | + | 0.971310i | \(0.423568\pi\) | |||||||
\(930\) | 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 | \(-0.291423\pi\) |
−0.675026 | + | 0.737794i | \(0.735867\pi\) | |||||||
\(938\) | 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 | \(-0.179353\pi\) |
−0.379191 | + | 0.925318i | \(0.623798\pi\) | |||||||
\(942\) | −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 | 0.210575 | − | 0.977578i | \(-0.432466\pi\) |
−0.467065 | + | 0.884223i | \(0.654689\pi\) | |||||||
\(948\) | −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 | −0.120602 | − | 0.992701i | \(-0.538483\pi\) |
0.956677 | + | 0.291151i | \(0.0940382\pi\) | |||||||
\(954\) | 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 | 0.999881 | + | 0.0154262i | \(0.00491051\pi\) |
−0.934305 | + | 0.356475i | \(0.883978\pi\) | |||||||
\(968\) | 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 | \(-0.788116\pi\) |
0.471615 | + | 0.881805i | \(0.343671\pi\) | |||||||
\(972\) | 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 | \(-0.521011\pi\) |
0.971209 | + | 0.238228i | \(0.0765665\pi\) | |||||||
\(984\) | −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 | 0.992808 | − | 0.119717i | \(-0.0381988\pi\) |
−0.973880 | + | 0.227063i | \(0.927088\pi\) | |||||||
\(992\) | −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 | \(-0.342623\pi\) |
−0.784474 | + | 0.620161i | \(0.787067\pi\) | |||||||
\(998\) | −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 \(a_p\))