Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(17,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.s (of order \(6\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 10.0.288778218147.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + 7x^{8} - 4x^{7} + 34x^{6} - 19x^{5} + 64x^{4} - x^{3} + 64x^{2} - 21x + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 17.5 | ||
Root | \(1.07065 - 1.85442i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 189.17 |
Dual form | 189.2.s.b.89.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.24607 | + | 1.29677i | 1.58821 | + | 0.916955i | 0.993602 | + | 0.112941i | \(0.0360271\pi\) |
0.594611 | + | 0.804014i | \(0.297306\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 2.36322 | + | 4.09323i | 1.18161 | + | 2.04661i | ||||
\(5\) | −1.25299 | −0.560352 | −0.280176 | − | 0.959949i | \(-0.590393\pi\) | ||||
−0.280176 | + | 0.959949i | \(0.590393\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.648211 | − | 2.56512i | −0.245001 | − | 0.969523i | ||||
\(8\) | 7.07116i | 2.50003i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.81429 | − | 1.62483i | −0.889958 | − | 0.513817i | ||||
\(11\) | − | 0.616756i | − | 0.185959i | −0.995668 | − | 0.0929794i | \(-0.970361\pi\) | ||
0.995668 | − | 0.0929794i | \(-0.0296391\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.06343 | − | 0.613974i | −0.294944 | − | 0.170286i | 0.345226 | − | 0.938520i | \(-0.387802\pi\) |
−0.640169 | + | 0.768234i | \(0.721136\pi\) | |||||||
\(14\) | 1.87044 | − | 6.60202i | 0.499896 | − | 1.76446i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −4.44321 | + | 7.69587i | −1.11080 | + | 1.92397i | ||||
\(17\) | 2.21501 | − | 3.83652i | 0.537220 | − | 0.930492i | −0.461833 | − | 0.886967i | \(-0.652808\pi\) |
0.999052 | − | 0.0435249i | \(-0.0138588\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.64679 | + | 0.950775i | −0.377800 | + | 0.218123i | −0.676861 | − | 0.736111i | \(-0.736660\pi\) |
0.299061 | + | 0.954234i | \(0.403327\pi\) | |||||||
\(20\) | −2.96109 | − | 5.12875i | −0.662119 | − | 1.14682i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.799790 | − | 1.38528i | 0.170516 | − | 0.295342i | ||||
\(23\) | 4.74890i | 0.990213i | 0.868832 | + | 0.495107i | \(0.164871\pi\) | ||||
−0.868832 | + | 0.495107i | \(0.835129\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.43003 | −0.686006 | ||||||||
\(26\) | −1.59237 | − | 2.75806i | −0.312289 | − | 0.540900i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 8.96773 | − | 8.71522i | 1.69474 | − | 1.64702i | ||||
\(29\) | 5.07629 | − | 2.93080i | 0.942643 | − | 0.544235i | 0.0518553 | − | 0.998655i | \(-0.483487\pi\) |
0.890788 | + | 0.454419i | \(0.150153\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.14851 | + | 1.24044i | −0.385884 | + | 0.222790i | −0.680375 | − | 0.732864i | \(-0.738183\pi\) |
0.294491 | + | 0.955654i | \(0.404850\pi\) | |||||||
\(32\) | −7.71195 | + | 4.45249i | −1.36329 | + | 0.787097i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 9.95016 | − | 5.74473i | 1.70644 | − | 0.985213i | ||||
\(35\) | 0.812198 | + | 3.21405i | 0.137287 | + | 0.543274i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.33217 | + | 2.30738i | 0.219007 | + | 0.379331i | 0.954505 | − | 0.298196i | \(-0.0963849\pi\) |
−0.735498 | + | 0.677527i | \(0.763052\pi\) | |||||||
\(38\) | −4.93175 | −0.800035 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | − | 8.86005i | − | 1.40090i | ||||||
\(41\) | −2.09966 | + | 3.63671i | −0.327911 | + | 0.567959i | −0.982097 | − | 0.188375i | \(-0.939678\pi\) |
0.654186 | + | 0.756334i | \(0.273011\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.24637 | − | 3.89083i | −0.342568 | − | 0.593346i | 0.642340 | − | 0.766419i | \(-0.277964\pi\) |
−0.984909 | + | 0.173073i | \(0.944630\pi\) | |||||||
\(44\) | 2.52452 | − | 1.45753i | 0.380586 | − | 0.219731i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −6.15823 | + | 10.6664i | −0.907981 | + | 1.57267i | ||||
\(47\) | −3.80738 | + | 6.59458i | −0.555364 | + | 0.961918i | 0.442512 | + | 0.896763i | \(0.354088\pi\) |
−0.997875 | + | 0.0651551i | \(0.979246\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.15965 | + | 3.32547i | −0.879949 | + | 0.475067i | ||||
\(50\) | −7.70409 | − | 4.44796i | −1.08952 | − | 0.629036i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | − | 5.80384i | − | 0.804847i | ||||||
\(53\) | −2.67782 | − | 1.54604i | −0.367827 | − | 0.212365i | 0.304682 | − | 0.952454i | \(-0.401450\pi\) |
−0.672509 | + | 0.740089i | \(0.734783\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.772786i | 0.104202i | ||||||||
\(56\) | 18.1383 | − | 4.58360i | 2.42384 | − | 0.612509i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 15.2023 | 1.99616 | ||||||||
\(59\) | −1.78229 | − | 3.08702i | −0.232035 | − | 0.401896i | 0.726372 | − | 0.687302i | \(-0.241205\pi\) |
−0.958407 | + | 0.285406i | \(0.907872\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 12.5136 | + | 7.22473i | 1.60220 | + | 0.925032i | 0.991046 | + | 0.133521i | \(0.0426284\pi\) |
0.611156 | + | 0.791510i | \(0.290705\pi\) | |||||||
\(62\) | −6.43428 | −0.817154 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −5.32259 | −0.665324 | ||||||||
\(65\) | 1.33247 | + | 0.769301i | 0.165272 | + | 0.0954200i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −6.80644 | − | 11.7891i | −0.831539 | − | 1.44027i | −0.896818 | − | 0.442400i | \(-0.854127\pi\) |
0.0652791 | − | 0.997867i | \(-0.479206\pi\) | |||||||
\(68\) | 20.9383 | 2.53914 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −2.34363 | + | 8.27223i | −0.280118 | + | 0.988720i | ||||
\(71\) | 10.4095i | 1.23538i | 0.786420 | + | 0.617692i | \(0.211932\pi\) | ||||
−0.786420 | + | 0.617692i | \(0.788068\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 9.95016 | + | 5.74473i | 1.16458 | + | 0.672369i | 0.952397 | − | 0.304861i | \(-0.0986100\pi\) |
0.212181 | + | 0.977230i | \(0.431943\pi\) | |||||||
\(74\) | 6.91006i | 0.803278i | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −7.78348 | − | 4.49379i | −0.892826 | − | 0.515473i | ||||
\(77\) | −1.58205 | + | 0.399788i | −0.180291 | + | 0.0455600i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.01592 | − | 3.49168i | 0.226809 | − | 0.392845i | −0.730052 | − | 0.683392i | \(-0.760504\pi\) |
0.956861 | + | 0.290547i | \(0.0938373\pi\) | |||||||
\(80\) | 5.56728 | − | 9.64281i | 0.622441 | − | 1.07810i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −9.43196 | + | 5.44554i | −1.04159 | + | 0.601360i | ||||
\(83\) | −4.36775 | − | 7.56516i | −0.479422 | − | 0.830384i | 0.520299 | − | 0.853984i | \(-0.325820\pi\) |
−0.999721 | + | 0.0236001i | \(0.992487\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.77538 | + | 4.80710i | −0.301032 | + | 0.521403i | ||||
\(86\) | − | 11.6521i | − | 1.25648i | ||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 4.36118 | 0.464903 | ||||||||
\(89\) | 0.811226 | + | 1.40508i | 0.0859897 | + | 0.148939i | 0.905813 | − | 0.423679i | \(-0.139261\pi\) |
−0.819823 | + | 0.572617i | \(0.805928\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.885586 | + | 3.12582i | −0.0928346 | + | 0.327675i | ||||
\(92\) | −19.4383 | + | 11.2227i | −2.02658 | + | 1.17005i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −17.1033 | + | 9.87459i | −1.76407 | + | 1.01849i | ||||
\(95\) | 2.06341 | − | 1.19131i | 0.211701 | − | 0.122226i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −8.76527 | + | 5.06063i | −0.889979 | + | 0.513829i | −0.873936 | − | 0.486042i | \(-0.838440\pi\) |
−0.0160431 | + | 0.999871i | \(0.505107\pi\) | |||||||
\(98\) | −18.1474 | − | 0.518397i | −1.83316 | − | 0.0523660i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −8.10593 | − | 14.0399i | −0.810593 | − | 1.40399i | ||||
\(101\) | 1.71322 | 0.170472 | 0.0852360 | − | 0.996361i | \(-0.472836\pi\) | ||||
0.0852360 | + | 0.996361i | \(0.472836\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 7.40526i | 0.729662i | 0.931074 | + | 0.364831i | \(0.118873\pi\) | ||||
−0.931074 | + | 0.364831i | \(0.881127\pi\) | |||||||
\(104\) | 4.34151 | − | 7.51971i | 0.425720 | − | 0.737368i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −4.00972 | − | 6.94503i | −0.389458 | − | 0.674561i | ||||
\(107\) | 0.131657 | − | 0.0760123i | 0.0127278 | − | 0.00734839i | −0.493623 | − | 0.869676i | \(-0.664328\pi\) |
0.506350 | + | 0.862328i | \(0.330994\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 2.70051 | − | 4.67742i | 0.258662 | − | 0.448016i | −0.707222 | − | 0.706992i | \(-0.750052\pi\) |
0.965884 | + | 0.258976i | \(0.0833851\pi\) | |||||||
\(110\) | −1.00213 | + | 1.73573i | −0.0955489 | + | 0.165496i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 22.6209 | + | 6.40881i | 2.13748 | + | 0.605576i | ||||
\(113\) | 5.60391 | + | 3.23542i | 0.527171 | + | 0.304362i | 0.739864 | − | 0.672757i | \(-0.234890\pi\) |
−0.212693 | + | 0.977119i | \(0.568223\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | − | 5.95030i | − | 0.554868i | ||||||
\(116\) | 23.9928 | + | 13.8523i | 2.22768 | + | 1.28615i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 9.24490i | − | 0.851062i | ||||||
\(119\) | −11.2769 | − | 3.19490i | −1.03375 | − | 0.292876i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.6196 | 0.965419 | ||||||||
\(122\) | 18.7376 | + | 32.4545i | 1.69642 | + | 2.93829i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −10.1548 | − | 5.86289i | −0.911930 | − | 0.526503i | ||||
\(125\) | 10.5627 | 0.944757 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.93175 | −0.260151 | −0.130075 | − | 0.991504i | \(-0.541522\pi\) | ||||
−0.130075 | + | 0.991504i | \(0.541522\pi\) | |||||||
\(128\) | 3.46897 | + | 2.00281i | 0.306617 | + | 0.177025i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1.99521 | + | 3.45581i | 0.174992 | + | 0.303094i | ||||
\(131\) | −16.2276 | −1.41782 | −0.708908 | − | 0.705301i | \(-0.750812\pi\) | ||||
−0.708908 | + | 0.705301i | \(0.750812\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.50632 | + | 3.60791i | 0.304036 | + | 0.312845i | ||||
\(134\) | − | 35.3055i | − | 3.04993i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 27.1286 | + | 15.6627i | 2.32626 | + | 1.34307i | ||||
\(137\) | − | 17.4026i | − | 1.48680i | −0.668845 | − | 0.743402i | \(-0.733211\pi\) | ||
0.668845 | − | 0.743402i | \(-0.266789\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 5.45273 | + | 3.14813i | 0.462494 | + | 0.267021i | 0.713092 | − | 0.701070i | \(-0.247294\pi\) |
−0.250598 | + | 0.968091i | \(0.580627\pi\) | |||||||
\(140\) | −11.2364 | + | 10.9200i | −0.949652 | + | 0.922912i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −13.4988 | + | 23.3805i | −1.13279 | + | 1.96205i | ||||
\(143\) | −0.378672 | + | 0.655879i | −0.0316661 | + | 0.0548474i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −6.36052 | + | 3.67225i | −0.528212 | + | 0.304963i | ||||
\(146\) | 14.8992 | + | 25.8061i | 1.23306 | + | 2.13573i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −6.29642 | + | 10.9057i | −0.517563 | + | 0.896445i | ||||
\(149\) | 10.6269i | 0.870592i | 0.900287 | + | 0.435296i | \(0.143356\pi\) | ||||
−0.900287 | + | 0.435296i | \(0.856644\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 9.48930 | 0.772229 | 0.386114 | − | 0.922451i | \(-0.373817\pi\) | ||||
0.386114 | + | 0.922451i | \(0.373817\pi\) | |||||||
\(152\) | −6.72308 | − | 11.6447i | −0.545314 | − | 0.944511i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −4.07183 | − | 1.15360i | −0.328117 | − | 0.0929600i | ||||
\(155\) | 2.69205 | − | 1.55426i | 0.216231 | − | 0.124841i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 20.6214 | − | 11.9058i | 1.64577 | − | 0.950185i | 0.667040 | − | 0.745022i | \(-0.267561\pi\) |
0.978728 | − | 0.205163i | \(-0.0657723\pi\) | |||||||
\(158\) | 9.05582 | − | 5.22838i | 0.720442 | − | 0.415947i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 9.66295 | − | 5.57891i | 0.763924 | − | 0.441051i | ||||
\(161\) | 12.1815 | − | 3.07829i | 0.960035 | − | 0.242603i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −4.41101 | − | 7.64009i | −0.345497 | − | 0.598418i | 0.639947 | − | 0.768419i | \(-0.278956\pi\) |
−0.985444 | + | 0.170001i | \(0.945623\pi\) | |||||||
\(164\) | −19.8478 | −1.54986 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | − | 22.6558i | − | 1.75843i | ||||||
\(167\) | 11.0335 | − | 19.1106i | 0.853800 | − | 1.47883i | −0.0239535 | − | 0.999713i | \(-0.507625\pi\) |
0.877754 | − | 0.479112i | \(-0.159041\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.74607 | − | 9.95249i | −0.442005 | − | 0.765576i | ||||
\(170\) | −12.4674 | + | 7.19806i | −0.956206 | + | 0.552066i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 10.6174 | − | 18.3898i | 0.809566 | − | 1.40221i | ||||
\(173\) | −2.03375 | + | 3.52256i | −0.154623 | + | 0.267815i | −0.932922 | − | 0.360079i | \(-0.882750\pi\) |
0.778299 | + | 0.627894i | \(0.216083\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.22338 | + | 8.79842i | 0.168072 | + | 0.665098i | ||||
\(176\) | 4.74647 | + | 2.74038i | 0.357779 | + | 0.206564i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 4.20789i | 0.315395i | ||||||||
\(179\) | −7.20787 | − | 4.16146i | −0.538741 | − | 0.311042i | 0.205827 | − | 0.978588i | \(-0.434011\pi\) |
−0.744569 | + | 0.667546i | \(0.767345\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 12.6701i | − | 0.941763i | −0.882196 | − | 0.470881i | \(-0.843936\pi\) | ||
0.882196 | − | 0.470881i | \(-0.156064\pi\) | |||||||
\(182\) | −6.04256 | + | 5.87241i | −0.447904 | + | 0.435292i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −33.5802 | −2.47556 | ||||||||
\(185\) | −1.66919 | − | 2.89111i | −0.122721 | − | 0.212559i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −2.36619 | − | 1.36612i | −0.173033 | − | 0.0999008i | ||||
\(188\) | −35.9908 | −2.62490 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 6.17941 | 0.448301 | ||||||||
\(191\) | 3.29133 | + | 1.90025i | 0.238152 | + | 0.137497i | 0.614327 | − | 0.789051i | \(-0.289427\pi\) |
−0.376175 | + | 0.926549i | \(0.622761\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3.39448 | − | 5.87942i | −0.244340 | − | 0.423210i | 0.717606 | − | 0.696450i | \(-0.245238\pi\) |
−0.961946 | + | 0.273240i | \(0.911905\pi\) | |||||||
\(194\) | −26.2499 | −1.88463 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −28.1685 | − | 17.3540i | −2.01204 | − | 1.23957i | ||||
\(197\) | − | 6.41453i | − | 0.457017i | −0.973542 | − | 0.228508i | \(-0.926615\pi\) | ||
0.973542 | − | 0.228508i | \(-0.0733848\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −13.8921 | − | 8.02063i | −0.984788 | − | 0.568568i | −0.0810756 | − | 0.996708i | \(-0.525836\pi\) |
−0.903712 | + | 0.428140i | \(0.859169\pi\) | |||||||
\(200\) | − | 24.2543i | − | 1.71504i | ||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 3.84802 | + | 2.22166i | 0.270746 | + | 0.156315i | ||||
\(203\) | −10.8083 | − | 11.1215i | −0.758597 | − | 0.780576i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.63084 | − | 4.55675i | 0.183746 | − | 0.318257i | ||||
\(206\) | −9.60292 | + | 16.6327i | −0.669067 | + | 1.15886i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 9.45013 | − | 5.45604i | 0.655249 | − | 0.378308i | ||||
\(209\) | 0.586396 | + | 1.01567i | 0.0405619 | + | 0.0702552i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.06070 | + | 7.03333i | −0.279550 | + | 0.484194i | −0.971273 | − | 0.237968i | \(-0.923519\pi\) |
0.691723 | + | 0.722163i | \(0.256852\pi\) | |||||||
\(212\) | − | 14.6146i | − | 1.00373i | ||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0.394282 | 0.0269526 | ||||||||
\(215\) | 2.81467 | + | 4.87515i | 0.191959 | + | 0.332483i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 4.57457 | + | 4.70711i | 0.310542 | + | 0.319540i | ||||
\(218\) | 12.1311 | − | 7.00388i | 0.821620 | − | 0.474363i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −3.16319 | + | 1.82627i | −0.213262 | + | 0.123127i | ||||
\(221\) | −4.71104 | + | 2.71992i | −0.316899 | + | 0.182962i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −6.96205 | + | 4.01954i | −0.466213 | + | 0.269168i | −0.714653 | − | 0.699479i | \(-0.753415\pi\) |
0.248440 | + | 0.968647i | \(0.420082\pi\) | |||||||
\(224\) | 16.4201 | + | 16.8959i | 1.09712 | + | 1.12890i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 8.39118 | + | 14.5340i | 0.558173 | + | 0.966784i | ||||
\(227\) | 20.8234 | 1.38210 | 0.691048 | − | 0.722809i | \(-0.257149\pi\) | ||||
0.691048 | + | 0.722809i | \(0.257149\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | − | 6.01918i | − | 0.397759i | −0.980024 | − | 0.198879i | \(-0.936270\pi\) | ||
0.980024 | − | 0.198879i | \(-0.0637302\pi\) | |||||||
\(230\) | 7.71617 | − | 13.3648i | 0.508789 | − | 0.881248i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 20.7241 | + | 35.8952i | 1.36061 | + | 2.35664i | ||||
\(233\) | 18.2156 | − | 10.5168i | 1.19335 | − | 0.688978i | 0.234282 | − | 0.972169i | \(-0.424726\pi\) |
0.959064 | + | 0.283191i | \(0.0913929\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.77059 | − | 8.26291i | 0.311199 | − | 0.539013i | ||||
\(236\) | 8.42392 | − | 14.5907i | 0.548350 | − | 0.949771i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −21.1857 | − | 21.7995i | −1.37326 | − | 1.41305i | ||||
\(239\) | 7.51079 | + | 4.33636i | 0.485832 | + | 0.280496i | 0.722844 | − | 0.691011i | \(-0.242835\pi\) |
−0.237011 | + | 0.971507i | \(0.576168\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 8.47315i | 0.545804i | 0.962042 | + | 0.272902i | \(0.0879834\pi\) | ||||
−0.962042 | + | 0.272902i | \(0.912017\pi\) | |||||||
\(242\) | 23.8524 | + | 13.7712i | 1.53329 | + | 0.885246i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 68.2946i | 4.37211i | ||||||||
\(245\) | 7.71795 | − | 4.16677i | 0.493081 | − | 0.266205i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 2.33501 | 0.148573 | ||||||||
\(248\) | −8.77137 | − | 15.1925i | −0.556982 | − | 0.964722i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 23.7246 | + | 13.6974i | 1.50047 | + | 0.866299i | ||||
\(251\) | −23.4435 | −1.47974 | −0.739871 | − | 0.672749i | \(-0.765113\pi\) | ||||
−0.739871 | + | 0.672749i | \(0.765113\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 2.92891 | 0.184139 | ||||||||
\(254\) | −6.58492 | − | 3.80180i | −0.413174 | − | 0.238546i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 10.5170 | + | 18.2159i | 0.657310 | + | 1.13849i | ||||
\(257\) | 24.5170 | 1.52933 | 0.764665 | − | 0.644428i | \(-0.222904\pi\) | ||||
0.764665 | + | 0.644428i | \(0.222904\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 5.05518 | − | 4.91283i | 0.314113 | − | 0.305269i | ||||
\(260\) | 7.27212i | 0.450998i | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −36.4484 | − | 21.0435i | −2.25179 | − | 1.30007i | ||||
\(263\) | 10.5544i | 0.650811i | 0.945575 | + | 0.325406i | \(0.105501\pi\) | ||||
−0.945575 | + | 0.325406i | \(0.894499\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 3.35527 | + | 1.93716i | 0.206112 | + | 0.118999i | ||||
\(266\) | 3.19681 | + | 12.6505i | 0.196009 | + | 0.775652i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 32.1703 | − | 55.7206i | 1.96511 | − | 3.40367i | ||||
\(269\) | −1.14451 | + | 1.98235i | −0.0697821 | + | 0.120866i | −0.898805 | − | 0.438348i | \(-0.855564\pi\) |
0.829023 | + | 0.559214i | \(0.188897\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −20.9239 | + | 12.0804i | −1.27103 | + | 0.733831i | −0.975182 | − | 0.221403i | \(-0.928936\pi\) |
−0.295851 | + | 0.955234i | \(0.595603\pi\) | |||||||
\(272\) | 19.6836 | + | 34.0929i | 1.19349 | + | 2.06719i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 22.5672 | − | 39.0875i | 1.36333 | − | 2.36136i | ||||
\(275\) | 2.11549i | 0.127569i | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −11.3710 | −0.683219 | −0.341609 | − | 0.939842i | \(-0.610972\pi\) | ||||
−0.341609 | + | 0.939842i | \(0.610972\pi\) | |||||||
\(278\) | 8.16481 | + | 14.1419i | 0.489693 | + | 0.848173i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −22.7271 | + | 5.74318i | −1.35820 | + | 0.343221i | ||||
\(281\) | −17.6382 | + | 10.1834i | −1.05221 | + | 0.607492i | −0.923267 | − | 0.384160i | \(-0.874491\pi\) |
−0.128941 | + | 0.991652i | \(0.541158\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 10.5318 | − | 6.08055i | 0.626052 | − | 0.361451i | −0.153169 | − | 0.988200i | \(-0.548948\pi\) |
0.779222 | + | 0.626749i | \(0.215615\pi\) | |||||||
\(284\) | −42.6085 | + | 24.6000i | −2.52835 | + | 1.45974i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −1.70105 | + | 0.982101i | −0.100585 | + | 0.0580729i | ||||
\(287\) | 10.6896 | + | 3.02851i | 0.630988 | + | 0.178767i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −1.31257 | − | 2.27345i | −0.0772103 | − | 0.133732i | ||||
\(290\) | −19.0482 | −1.11855 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 54.3043i | 3.17792i | ||||||||
\(293\) | −13.4674 | + | 23.3262i | −0.786773 | + | 1.36273i | 0.141161 | + | 0.989987i | \(0.454917\pi\) |
−0.927934 | + | 0.372745i | \(0.878417\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.23319 | + | 3.86799i | 0.130021 | + | 0.225203i | ||||
\(296\) | −16.3159 | + | 9.41996i | −0.948340 | + | 0.547524i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −13.7807 | + | 23.8688i | −0.798293 | + | 1.38268i | ||||
\(299\) | 2.91570 | − | 5.05014i | 0.168619 | − | 0.292057i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −8.52431 | + | 8.28428i | −0.491333 | + | 0.477498i | ||||
\(302\) | 21.3137 | + | 12.3054i | 1.22646 | + | 0.708099i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | − | 16.8980i | − | 0.969166i | ||||||
\(305\) | −15.6793 | − | 9.05248i | −0.897797 | − | 0.518343i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 21.3700i | − | 1.21965i | −0.792536 | − | 0.609825i | \(-0.791240\pi\) | ||
0.792536 | − | 0.609825i | \(-0.208760\pi\) | |||||||
\(308\) | −5.37516 | − | 5.53090i | −0.306278 | − | 0.315152i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 8.06206 | 0.457894 | ||||||||
\(311\) | −8.11558 | − | 14.0566i | −0.460192 | − | 0.797076i | 0.538778 | − | 0.842448i | \(-0.318886\pi\) |
−0.998970 | + | 0.0453714i | \(0.985553\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 12.1941 | + | 7.04027i | 0.689252 | + | 0.397940i | 0.803332 | − | 0.595532i | \(-0.203059\pi\) |
−0.114080 | + | 0.993472i | \(0.536392\pi\) | |||||||
\(314\) | 61.7562 | 3.48511 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 19.0563 | 1.07200 | ||||||||
\(317\) | −17.5776 | − | 10.1484i | −0.987254 | − | 0.569991i | −0.0828017 | − | 0.996566i | \(-0.526387\pi\) |
−0.904452 | + | 0.426575i | \(0.859720\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.80759 | − | 3.13083i | −0.101205 | − | 0.175293i | ||||
\(320\) | 6.66913 | 0.372816 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 31.3523 | + | 8.88252i | 1.74719 | + | 0.495003i | ||||
\(323\) | 8.42392i | 0.468720i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 3.64761 | + | 2.10595i | 0.202333 | + | 0.116817i | ||||
\(326\) | − | 22.8802i | − | 1.26722i | ||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −25.7158 | − | 14.8470i | −1.41991 | − | 0.819788i | ||||
\(329\) | 19.3838 | + | 5.49170i | 1.06867 | + | 0.302767i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −13.2341 | + | 22.9221i | −0.727411 | + | 1.25991i | 0.230563 | + | 0.973057i | \(0.425943\pi\) |
−0.957974 | + | 0.286856i | \(0.907390\pi\) | |||||||
\(332\) | 20.6439 | − | 35.7563i | 1.13298 | − | 1.96238i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 49.5642 | − | 28.6159i | 2.71203 | − | 1.56579i | ||||
\(335\) | 8.52836 | + | 14.7716i | 0.465954 | + | 0.807057i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.73659 | + | 3.00785i | −0.0945979 | + | 0.163848i | −0.909441 | − | 0.415834i | \(-0.863490\pi\) |
0.814843 | + | 0.579682i | \(0.196823\pi\) | |||||||
\(338\) | − | 29.8053i | − | 1.62120i | ||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −26.2354 | −1.42281 | ||||||||
\(341\) | 0.765051 | + | 1.32511i | 0.0414298 | + | 0.0717585i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 12.5230 | + | 13.6446i | 0.676177 | + | 0.736739i | ||||
\(344\) | 27.5127 | − | 15.8844i | 1.48338 | − | 0.856432i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −9.13589 | + | 5.27461i | −0.491149 | + | 0.283565i | ||||
\(347\) | −8.14765 | + | 4.70405i | −0.437389 | + | 0.252527i | −0.702489 | − | 0.711694i | \(-0.747928\pi\) |
0.265101 | + | 0.964221i | \(0.414595\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −12.3253 | + | 7.11603i | −0.659759 | + | 0.380912i | −0.792185 | − | 0.610281i | \(-0.791057\pi\) |
0.132426 | + | 0.991193i | \(0.457723\pi\) | |||||||
\(350\) | −6.41566 | + | 22.6451i | −0.342931 | + | 1.21043i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 2.74610 | + | 4.75639i | 0.146368 | + | 0.253516i | ||||
\(353\) | −17.1652 | −0.913614 | −0.456807 | − | 0.889566i | \(-0.651007\pi\) | ||||
−0.456807 | + | 0.889566i | \(0.651007\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | − | 13.0430i | − | 0.692250i | ||||||
\(356\) | −3.83422 | + | 6.64106i | −0.203213 | + | 0.351975i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −10.7929 | − | 18.6939i | −0.570424 | − | 0.988003i | ||||
\(359\) | −24.4705 | + | 14.1281i | −1.29150 | + | 0.745650i | −0.978921 | − | 0.204241i | \(-0.934528\pi\) |
−0.312583 | + | 0.949890i | \(0.601194\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −7.69205 | + | 13.3230i | −0.404845 | + | 0.701212i | ||||
\(362\) | 16.4302 | − | 28.4580i | 0.863554 | − | 1.49572i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −14.8875 | + | 3.76211i | −0.780318 | + | 0.197188i | ||||
\(365\) | −12.4674 | − | 7.19806i | −0.652574 | − | 0.376764i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 23.0704i | 1.20427i | 0.798396 | + | 0.602133i | \(0.205682\pi\) | ||||
−0.798396 | + | 0.602133i | \(0.794318\pi\) | |||||||
\(368\) | −36.5469 | − | 21.1004i | −1.90514 | − | 1.09993i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | − | 8.65820i | − | 0.450118i | ||||||
\(371\) | −2.22998 | + | 7.87108i | −0.115775 | + | 0.408646i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −13.8727 | −0.718301 | −0.359150 | − | 0.933280i | \(-0.616933\pi\) | ||||
−0.359150 | + | 0.933280i | \(0.616933\pi\) | |||||||
\(374\) | −3.54309 | − | 6.13682i | −0.183209 | − | 0.317327i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −46.6313 | − | 26.9226i | −2.40482 | − | 1.38843i | ||||
\(377\) | −7.19773 | −0.370702 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 22.7814 | 1.17020 | 0.585101 | − | 0.810961i | \(-0.301055\pi\) | ||||
0.585101 | + | 0.810961i | \(0.301055\pi\) | |||||||
\(380\) | 9.75258 | + | 5.63065i | 0.500297 | + | 0.288846i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 4.92838 | + | 8.53620i | 0.252158 | + | 0.436750i | ||||
\(383\) | 15.2320 | 0.778317 | 0.389158 | − | 0.921171i | \(-0.372766\pi\) | ||||
0.389158 | + | 0.921171i | \(0.372766\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.98229 | − | 0.500928i | 0.101027 | − | 0.0255297i | ||||
\(386\) | − | 17.6075i | − | 0.896196i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −41.4286 | − | 23.9188i | −2.10322 | − | 1.21429i | ||||
\(389\) | 14.1479i | 0.717328i | 0.933467 | + | 0.358664i | \(0.116768\pi\) | ||||
−0.933467 | + | 0.358664i | \(0.883232\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 18.2192 | + | 10.5189i | 0.921386 | + | 0.531962i | ||||
\(392\) | −23.5149 | − | 43.5558i | −1.18768 | − | 2.19990i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 8.31817 | − | 14.4075i | 0.419063 | − | 0.725839i | ||||
\(395\) | −2.52592 | + | 4.37503i | −0.127093 | + | 0.220131i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 8.40688 | − | 4.85371i | 0.421929 | − | 0.243601i | −0.273973 | − | 0.961737i | \(-0.588338\pi\) |
0.695902 | + | 0.718136i | \(0.255005\pi\) | |||||||
\(398\) | −20.8018 | − | 36.0298i | −1.04270 | − | 1.80601i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 15.2403 | − | 26.3970i | 0.762017 | − | 1.31985i | ||||
\(401\) | 8.73133i | 0.436022i | 0.975946 | + | 0.218011i | \(0.0699569\pi\) | ||||
−0.975946 | + | 0.218011i | \(0.930043\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3.04640 | 0.151752 | ||||||||
\(404\) | 4.04873 | + | 7.01261i | 0.201432 | + | 0.348890i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −9.85428 | − | 38.9956i | −0.489060 | − | 1.93532i | ||||
\(407\) | 1.42309 | − | 0.821622i | 0.0705400 | − | 0.0407263i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −12.8967 | + | 7.44591i | −0.637700 | + | 0.368176i | −0.783728 | − | 0.621104i | \(-0.786684\pi\) |
0.146028 | + | 0.989280i | \(0.453351\pi\) | |||||||
\(410\) | 11.8181 | − | 6.82318i | 0.583654 | − | 0.336973i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −30.3114 | + | 17.5003i | −1.49334 | + | 0.862178i | ||||
\(413\) | −6.76327 | + | 6.57283i | −0.332799 | + | 0.323428i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 5.47272 | + | 9.47903i | 0.268645 | + | 0.465307i | ||||
\(416\) | 10.9349 | 0.536126 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 3.04168i | 0.148774i | ||||||||
\(419\) | 2.13859 | − | 3.70414i | 0.104477 | − | 0.180959i | −0.809048 | − | 0.587743i | \(-0.800017\pi\) |
0.913524 | + | 0.406784i | \(0.133350\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 5.76681 | + | 9.98841i | 0.281057 | + | 0.486805i | 0.971645 | − | 0.236443i | \(-0.0759816\pi\) |
−0.690588 | + | 0.723248i | \(0.742648\pi\) | |||||||
\(422\) | −18.2412 | + | 10.5316i | −0.887969 | + | 0.512669i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 10.9323 | − | 18.9353i | 0.530919 | − | 0.919578i | ||||
\(425\) | −7.59756 | + | 13.1594i | −0.368536 | + | 0.638323i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 10.4208 | − | 36.7820i | 0.504299 | − | 1.78000i | ||||
\(428\) | 0.622271 | + | 0.359268i | 0.0300786 | + | 0.0173659i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 14.5999i | 0.704071i | ||||||||
\(431\) | 14.4497 | + | 8.34254i | 0.696018 | + | 0.401846i | 0.805863 | − | 0.592103i | \(-0.201702\pi\) |
−0.109845 | + | 0.993949i | \(0.535035\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 12.3503i | − | 0.593516i | −0.954953 | − | 0.296758i | \(-0.904094\pi\) | ||
0.954953 | − | 0.296758i | \(-0.0959055\pi\) | |||||||
\(434\) | 4.17077 | + | 16.5047i | 0.200203 | + | 0.792250i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 25.5276 | 1.22255 | ||||||||
\(437\) | −4.51513 | − | 7.82044i | −0.215988 | − | 0.374102i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −19.1691 | − | 11.0673i | −0.914892 | − | 0.528213i | −0.0328902 | − | 0.999459i | \(-0.510471\pi\) |
−0.882002 | + | 0.471246i | \(0.843805\pi\) | |||||||
\(440\) | −5.46449 | −0.260509 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −14.1085 | −0.671071 | ||||||||
\(443\) | 4.22906 | + | 2.44165i | 0.200929 | + | 0.116006i | 0.597089 | − | 0.802175i | \(-0.296324\pi\) |
−0.396160 | + | 0.918182i | \(0.629657\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1.01645 | − | 1.76055i | −0.0481845 | − | 0.0834580i | ||||
\(446\) | −20.8497 | −0.987260 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 3.45016 | + | 13.6531i | 0.163005 | + | 0.645047i | ||||
\(449\) | 12.4409i | 0.587121i | 0.955941 | + | 0.293560i | \(0.0948401\pi\) | ||||
−0.955941 | + | 0.293560i | \(0.905160\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.24296 | + | 1.29498i | 0.105617 | + | 0.0609780i | ||||
\(452\) | 30.5841i | 1.43855i | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 46.7708 | + | 27.0031i | 2.19506 | + | 1.26732i | ||||
\(455\) | 1.10963 | − | 3.91660i | 0.0520201 | − | 0.183613i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 5.38774 | − | 9.33185i | 0.252028 | − | 0.436525i | −0.712056 | − | 0.702123i | \(-0.752236\pi\) |
0.964084 | + | 0.265597i | \(0.0855691\pi\) | |||||||
\(458\) | 7.80549 | − | 13.5195i | 0.364727 | − | 0.631725i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 24.3559 | − | 14.0619i | 1.13560 | − | 0.655639i | ||||
\(461\) | 0.333303 | + | 0.577297i | 0.0155235 | + | 0.0268874i | 0.873683 | − | 0.486496i | \(-0.161725\pi\) |
−0.858159 | + | 0.513383i | \(0.828392\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −20.7892 | + | 36.0079i | −0.966155 | + | 1.67343i | −0.259677 | + | 0.965696i | \(0.583616\pi\) |
−0.706479 | + | 0.707734i | \(0.749717\pi\) | |||||||
\(464\) | 52.0886i | 2.41815i | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 54.5515 | 2.52705 | ||||||||
\(467\) | −19.6568 | − | 34.0465i | −0.909606 | − | 1.57548i | −0.814612 | − | 0.580006i | \(-0.803050\pi\) |
−0.0949943 | − | 0.995478i | \(-0.530283\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −25.8284 | + | 25.1011i | −1.19264 | + | 1.15906i | ||||
\(470\) | 21.4302 | − | 12.3727i | 0.988500 | − | 0.570711i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 21.8288 | − | 12.6029i | 1.00475 | − | 0.580094i | ||||
\(473\) | −2.39969 | + | 1.38546i | −0.110338 | + | 0.0637036i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 5.64854 | − | 3.26119i | 0.259173 | − | 0.149633i | ||||
\(476\) | −13.5724 | − | 53.7092i | −0.622091 | − | 2.46176i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 11.2465 | + | 19.4795i | 0.514403 | + | 0.890973i | ||||
\(479\) | 38.1153 | 1.74153 | 0.870767 | − | 0.491696i | \(-0.163623\pi\) | ||||
0.870767 | + | 0.491696i | \(0.163623\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | − | 3.27167i | − | 0.149175i | ||||||
\(482\) | −10.9877 | + | 19.0313i | −0.500477 | + | 0.866852i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 25.0965 | + | 43.4685i | 1.14075 | + | 1.97584i | ||||
\(485\) | 10.9828 | − | 6.34090i | 0.498701 | − | 0.287925i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −3.80277 | + | 6.58659i | −0.172320 | + | 0.298467i | −0.939231 | − | 0.343287i | \(-0.888460\pi\) |
0.766911 | + | 0.641754i | \(0.221793\pi\) | |||||||
\(488\) | −51.0872 | + | 88.4856i | −2.31261 | + | 4.00555i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 22.7384 | + | 0.649544i | 1.02722 | + | 0.0293434i | ||||
\(491\) | −3.33297 | − | 1.92429i | −0.150415 | − | 0.0868420i | 0.422904 | − | 0.906175i | \(-0.361011\pi\) |
−0.573318 | + | 0.819333i | \(0.694344\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | − | 25.9670i | − | 1.16950i | ||||||
\(494\) | 5.24459 | + | 3.02797i | 0.235965 | + | 0.136235i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | − | 22.0462i | − | 0.989904i | ||||||
\(497\) | 26.7016 | − | 6.74757i | 1.19773 | − | 0.302670i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −32.1588 | −1.43962 | −0.719812 | − | 0.694169i | \(-0.755772\pi\) | ||||
−0.719812 | + | 0.694169i | \(0.755772\pi\) | |||||||
\(500\) | 24.9620 | + | 43.2355i | 1.11634 | + | 1.93355i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −52.6558 | − | 30.4009i | −2.35014 | − | 1.35686i | ||||
\(503\) | 0.425693 | 0.0189807 | 0.00949035 | − | 0.999955i | \(-0.496979\pi\) | ||||
0.00949035 | + | 0.999955i | \(0.496979\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2.14664 | −0.0955243 | ||||||||
\(506\) | 6.57854 | + | 3.79812i | 0.292452 | + | 0.168847i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −6.92838 | − | 12.0003i | −0.307397 | − | 0.532427i | ||||
\(509\) | 25.7926 | 1.14323 | 0.571617 | − | 0.820520i | \(-0.306316\pi\) | ||||
0.571617 | + | 0.820520i | \(0.306316\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 8.28610 | − | 29.2471i | 0.366555 | − | 1.29382i | ||||
\(512\) | 46.5411i | 2.05684i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 55.0670 | + | 31.7929i | 2.42890 | + | 1.40233i | ||||
\(515\) | − | 9.27868i | − | 0.408868i | ||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 4.06724 | + | 2.34822i | 0.178877 | + | 0.103275i | ||||
\(518\) | 17.7251 | − | 4.47917i | 0.778796 | − | 0.196804i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −5.43984 | + | 9.42209i | −0.238553 | + | 0.413186i | ||||
\(521\) | 9.07174 | − | 15.7127i | 0.397440 | − | 0.688386i | −0.595969 | − | 0.803007i | \(-0.703232\pi\) |
0.993409 | + | 0.114621i | \(0.0365653\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 12.0723 | − | 6.96997i | 0.527887 | − | 0.304776i | −0.212269 | − | 0.977211i | \(-0.568085\pi\) |
0.740155 | + | 0.672436i | \(0.234752\pi\) | |||||||
\(524\) | −38.3495 | − | 66.4234i | −1.67531 | − | 2.90172i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −13.6866 | + | 23.7059i | −0.596764 | + | 1.03363i | ||||
\(527\) | 10.9904i | 0.478749i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 0.447980 | 0.0194774 | ||||||||
\(530\) | 5.02411 | + | 8.70202i | 0.218234 | + | 0.377992i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −6.48177 | + | 22.8784i | −0.281020 | + | 0.991906i | ||||
\(533\) | 4.46569 | − | 2.57827i | 0.193431 | − | 0.111677i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −0.164965 | + | 0.0952423i | −0.00713204 | + | 0.00411769i | ||||
\(536\) | 83.3625 | − | 48.1294i | 3.60071 | − | 2.07887i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −5.14131 | + | 2.96834i | −0.221658 | + | 0.127974i | ||||
\(539\) | 2.05100 | + | 3.79900i | 0.0883430 | + | 0.163634i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −14.8576 | − | 25.7341i | −0.638779 | − | 1.10640i | −0.985701 | − | 0.168503i | \(-0.946107\pi\) |
0.346922 | − | 0.937894i | \(-0.387227\pi\) | |||||||
\(542\) | −62.6620 | −2.69156 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 39.4493i | 1.69138i | ||||||||
\(545\) | −3.38370 | + | 5.86074i | −0.144942 | + | 0.251046i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −9.13516 | − | 15.8226i | −0.390591 | − | 0.676524i | 0.601937 | − | 0.798544i | \(-0.294396\pi\) |
−0.992528 | + | 0.122020i | \(0.961063\pi\) | |||||||
\(548\) | 71.2327 | − | 41.1262i | 3.04291 | − | 1.75683i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −2.74330 | + | 4.75154i | −0.116975 | + | 0.202606i | ||||
\(551\) | −5.57306 | + | 9.65282i | −0.237420 | + | 0.411224i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −10.2633 | − | 2.90773i | −0.436440 | − | 0.123649i | ||||
\(554\) | −25.5401 | − | 14.7456i | −1.08510 | − | 0.626481i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 29.7590i | 1.26206i | ||||||||
\(557\) | 0.359456 | + | 0.207532i | 0.0152307 | + | 0.00879343i | 0.507596 | − | 0.861595i | \(-0.330534\pi\) |
−0.492365 | + | 0.870389i | \(0.663868\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 5.51686i | 0.233338i | ||||||||
\(560\) | −28.3437 | − | 8.03015i | −1.19774 | − | 0.339336i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −52.8222 | −2.22817 | ||||||||
\(563\) | −1.82962 | − | 3.16900i | −0.0771095 | − | 0.133558i | 0.824892 | − | 0.565290i | \(-0.191236\pi\) |
−0.902002 | + | 0.431733i | \(0.857902\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −7.02161 | − | 4.05393i | −0.295401 | − | 0.170550i | ||||
\(566\) | 31.5403 | 1.32574 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −73.6074 | −3.08850 | ||||||||
\(569\) | −30.4692 | − | 17.5914i | −1.27733 | − | 0.737470i | −0.300977 | − | 0.953631i | \(-0.597313\pi\) |
−0.976358 | + | 0.216162i | \(0.930646\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 5.02680 | + | 8.70667i | 0.210365 | + | 0.364363i | 0.951829 | − | 0.306630i | \(-0.0992014\pi\) |
−0.741464 | + | 0.670993i | \(0.765868\pi\) | |||||||
\(572\) | −3.57955 | −0.149668 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 20.0823 | + | 20.6642i | 0.838221 | + | 0.862507i | ||||
\(575\) | − | 16.2888i | − | 0.679292i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 0.0597672 | + | 0.0345066i | 0.00248814 | + | 0.00143653i | 0.501244 | − | 0.865306i | \(-0.332876\pi\) |
−0.498755 | + | 0.866743i | \(0.666209\pi\) | |||||||
\(578\) | − | 6.80843i | − | 0.283193i | ||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −30.0627 | − | 17.3567i | −1.24828 | − | 0.720697i | ||||
\(581\) | −16.5743 | + | 16.1076i | −0.687618 | + | 0.668256i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.953529 | + | 1.65156i | −0.0394911 | + | 0.0684006i | ||||
\(584\) | −40.6219 | + | 70.3591i | −1.68094 | + | 2.91148i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −60.4974 | + | 34.9282i | −2.49913 | + | 1.44287i | ||||
\(587\) | 11.4799 | + | 19.8838i | 0.473827 | + | 0.820693i | 0.999551 | − | 0.0299626i | \(-0.00953881\pi\) |
−0.525724 | + | 0.850655i | \(0.676205\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.35877 | − | 4.08550i | 0.0971913 | − | 0.168340i | ||||
\(590\) | 11.5837i | 0.476894i | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −23.6764 | −0.973094 | ||||||||
\(593\) | −14.3970 | − | 24.9363i | −0.591213 | − | 1.02401i | −0.994069 | − | 0.108748i | \(-0.965316\pi\) |
0.402856 | − | 0.915263i | \(-0.368018\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 14.1298 | + | 4.00316i | 0.579265 | + | 0.164114i | ||||
\(596\) | −43.4984 | + | 25.1138i | −1.78176 | + | 1.02870i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 13.0977 | − | 7.56198i | 0.535606 | − | 0.309233i | ||||
\(599\) | 33.1588 | − | 19.1442i | 1.35483 | − | 0.782212i | 0.365910 | − | 0.930650i | \(-0.380758\pi\) |
0.988922 | + | 0.148438i | \(0.0474246\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 26.7618 | − | 15.4509i | 1.09164 | − | 0.630257i | 0.157625 | − | 0.987499i | \(-0.449616\pi\) |
0.934012 | + | 0.357242i | \(0.116283\pi\) | |||||||
\(602\) | −29.8890 | + | 7.55302i | −1.21819 | + | 0.307838i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 22.4254 | + | 38.8419i | 0.912475 | + | 1.58045i | ||||
\(605\) | −13.3062 | −0.540975 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 33.1791i | − | 1.34670i | −0.739325 | − | 0.673349i | \(-0.764855\pi\) | ||
0.739325 | − | 0.673349i | \(-0.235145\pi\) | |||||||
\(608\) | 8.46664 | − | 14.6647i | 0.343368 | − | 0.594730i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −23.4780 | − | 40.6650i | −0.950595 | − | 1.64648i | ||||
\(611\) | 8.09780 | − | 4.67527i | 0.327602 | − | 0.189141i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −2.01164 | + | 3.48426i | −0.0812492 | + | 0.140728i | −0.903787 | − | 0.427983i | \(-0.859224\pi\) |
0.822538 | + | 0.568711i | \(0.192558\pi\) | |||||||
\(614\) | 27.7120 | − | 47.9985i | 1.11836 | − | 1.93706i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −2.82696 | − | 11.1869i | −0.113901 | − | 0.450734i | ||||
\(617\) | −27.1191 | − | 15.6572i | −1.09177 | − | 0.630336i | −0.157726 | − | 0.987483i | \(-0.550416\pi\) |
−0.934048 | + | 0.357147i | \(0.883749\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 13.9310i | 0.559934i | 0.960010 | + | 0.279967i | \(0.0903235\pi\) | ||||
−0.960010 | + | 0.279967i | \(0.909676\pi\) | |||||||
\(620\) | 12.7238 | + | 7.34612i | 0.511002 | + | 0.295027i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 42.0962i | − | 1.68790i | ||||||
\(623\) | 3.07836 | − | 2.99168i | 0.123332 | − | 0.119859i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 3.91523 | 0.156609 | ||||||||
\(626\) | 18.2592 | + | 31.6259i | 0.729786 | + | 1.26403i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 97.4661 | + | 56.2721i | 3.88932 | + | 2.24550i | ||||
\(629\) | 11.8031 | 0.470620 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −4.61815 | −0.183846 | −0.0919229 | − | 0.995766i | \(-0.529301\pi\) | ||||
−0.0919229 | + | 0.995766i | \(0.529301\pi\) | |||||||
\(632\) | 24.6902 | + | 14.2549i | 0.982124 | + | 0.567030i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −26.3203 | − | 45.5881i | −1.04531 | − | 1.81053i | ||||
\(635\) | 3.67344 | 0.145776 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 8.59213 | + | 0.245442i | 0.340433 | + | 0.00972478i | ||||
\(638\) | − | 9.37609i | − | 0.371203i | ||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −4.34657 | − | 2.50949i | −0.171813 | − | 0.0991964i | ||||
\(641\) | 42.4724i | 1.67756i | 0.544473 | + | 0.838779i | \(0.316730\pi\) | ||||
−0.544473 | + | 0.838779i | \(0.683270\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −3.13514 | − | 1.81008i | −0.123638 | − | 0.0713825i | 0.436905 | − | 0.899507i | \(-0.356074\pi\) |
−0.560544 | + | 0.828125i | \(0.689408\pi\) | |||||||
\(644\) | 41.3877 | + | 42.5868i | 1.63090 | + | 1.67816i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −10.9239 | + | 18.9207i | −0.429795 | + | 0.744426i | ||||
\(647\) | −6.00617 | + | 10.4030i | −0.236127 | + | 0.408984i | −0.959600 | − | 0.281369i | \(-0.909211\pi\) |
0.723473 | + | 0.690353i | \(0.242545\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1.90394 | + | 1.09924i | −0.0747361 | + | 0.0431489i | ||||
\(650\) | 5.46186 | + | 9.46022i | 0.214232 | + | 0.371060i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 20.8484 | − | 36.1105i | 0.816486 | − | 1.41420i | ||||
\(653\) | − | 46.1822i | − | 1.80725i | −0.428324 | − | 0.903625i | \(-0.640896\pi\) | ||
0.428324 | − | 0.903625i | \(-0.359104\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 20.3330 | 0.794476 | ||||||||
\(656\) | −18.6584 | − | 32.3174i | −0.728490 | − | 1.26178i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 36.4160 | + | 37.4711i | 1.41964 | + | 1.46078i | ||||
\(659\) | 16.3479 | − | 9.43847i | 0.636824 | − | 0.367671i | −0.146566 | − | 0.989201i | \(-0.546822\pi\) |
0.783390 | + | 0.621530i | \(0.213489\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 2.88202 | − | 1.66393i | 0.112097 | − | 0.0647195i | −0.442903 | − | 0.896570i | \(-0.646051\pi\) |
0.555000 | + | 0.831850i | \(0.312718\pi\) | |||||||
\(662\) | −59.4494 | + | 34.3231i | −2.31057 | + | 1.33401i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 53.4944 | − | 30.8850i | 2.07599 | − | 1.19857i | ||||
\(665\) | −4.39336 | − | 4.52066i | −0.170367 | − | 0.175304i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 13.9181 | + | 24.1068i | 0.538909 | + | 0.933418i | ||||
\(668\) | 104.299 | 4.03544 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 44.2373i | 1.70904i | ||||||||
\(671\) | 4.45589 | − | 7.71783i | 0.172018 | − | 0.297944i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −16.3678 | − | 28.3499i | −0.630934 | − | 1.09281i | −0.987361 | − | 0.158487i | \(-0.949339\pi\) |
0.356427 | − | 0.934323i | \(-0.383995\pi\) | |||||||
\(674\) | −7.80099 | + | 4.50390i | −0.300483 | + | 0.173484i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 27.1585 | − | 47.0399i | 1.04456 | − | 1.80923i | ||||
\(677\) | 16.9228 | − | 29.3111i | 0.650396 | − | 1.12652i | −0.332631 | − | 0.943057i | \(-0.607937\pi\) |
0.983027 | − | 0.183461i | \(-0.0587302\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 18.6629 | + | 19.2036i | 0.716215 | + | 0.736966i | ||||
\(680\) | −33.9917 | − | 19.6251i | −1.30352 | − | 0.752590i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 3.96838i | 0.151957i | ||||||||
\(683\) | −4.79617 | − | 2.76907i | −0.183520 | − | 0.105956i | 0.405425 | − | 0.914128i | \(-0.367123\pi\) |
−0.588946 | + | 0.808173i | \(0.700457\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 21.8052i | 0.833133i | ||||||||
\(686\) | 10.4336 | + | 46.8862i | 0.398356 | + | 1.79012i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 39.9244 | 1.52210 | ||||||||
\(689\) | 1.89846 | + | 3.28822i | 0.0723254 | + | 0.125271i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 12.3417 | + | 7.12550i | 0.469502 | + | 0.271067i | 0.716031 | − | 0.698068i | \(-0.245957\pi\) |
−0.246530 | + | 0.969135i | \(0.579290\pi\) | |||||||
\(692\) | −19.2248 | −0.730818 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −24.4003 | −0.926222 | ||||||||
\(695\) | −6.83219 | − | 3.94456i | −0.259160 | − | 0.149626i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 9.30154 | + | 16.1107i | 0.352321 | + | 0.610238i | ||||
\(698\) | −36.9114 | −1.39712 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −30.7596 | + | 29.8934i | −1.16260 | + | 1.12987i | ||||
\(701\) | 18.6105i | 0.702908i | 0.936205 | + | 0.351454i | \(0.114313\pi\) | ||||
−0.936205 | + | 0.351454i | \(0.885687\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −4.38760 | − | 2.53318i | −0.165482 | − | 0.0955408i | ||||
\(704\) | 3.28274i | 0.123723i | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −38.5544 | − | 22.2594i | −1.45101 | − | 0.837743i | ||||
\(707\) | −1.11053 | − | 4.39462i | −0.0417657 | − | 0.165277i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 6.74733 | − | 11.6867i | 0.253401 | − | 0.438904i | −0.711059 | − | 0.703133i | \(-0.751784\pi\) |
0.964460 | + | 0.264229i | \(0.0851174\pi\) | |||||||
\(710\) | 16.9137 | − | 29.2955i | 0.634762 | − | 1.09944i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −9.93557 | + | 5.73630i | −0.372351 | + | 0.214977i | ||||
\(713\) | −5.89074 | − | 10.2031i | −0.220610 | − | 0.382107i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.474470 | − | 0.821807i | 0.0177442 | − | 0.0307338i | ||||
\(716\) | − | 39.3379i | − | 1.47013i | ||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −73.2833 | −2.73491 | ||||||||
\(719\) | 18.8692 | + | 32.6824i | 0.703702 | + | 1.21885i | 0.967158 | + | 0.254176i | \(0.0818042\pi\) |
−0.263456 | + | 0.964671i | \(0.584863\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 18.9954 | − | 4.80017i | 0.707424 | − | 0.178768i | ||||
\(722\) | −34.5538 | + | 19.9496i | −1.28596 | + | 0.742449i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 51.8617 | − | 29.9424i | 1.92742 | − | 1.11280i | ||||
\(725\) | −17.4118 | + | 10.0527i | −0.646659 | + | 0.373348i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 1.98480 | − | 1.14592i | 0.0736121 | − | 0.0424999i | −0.462742 | − | 0.886493i | \(-0.653134\pi\) |
0.536354 | + | 0.843993i | \(0.319801\pi\) | |||||||
\(728\) | −22.1031 | − | 6.26211i | −0.819197 | − | 0.232089i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −18.6685 | − | 32.3347i | −0.690950 | − | 1.19676i | ||||
\(731\) | −19.9030 | −0.736138 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 24.7888i | 0.915596i | 0.889056 | + | 0.457798i | \(0.151362\pi\) | ||||
−0.889056 | + | 0.457798i | \(0.848638\pi\) | |||||||
\(734\) | −29.9170 | + | 51.8178i | −1.10426 | + | 1.91263i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −21.1444 | − | 36.6232i | −0.779394 | − | 1.34995i | ||||
\(737\) | −7.27099 | + | 4.19791i | −0.267830 | + | 0.154632i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 8.10081 | − | 14.0310i | 0.297993 | − | 0.516139i | −0.677684 | − | 0.735354i | \(-0.737016\pi\) |
0.975677 | + | 0.219214i | \(0.0703494\pi\) | |||||||
\(740\) | 7.88932 | − | 13.6647i | 0.290017 | − | 0.502325i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −15.2157 | + | 14.7872i | −0.558585 | + | 0.542856i | ||||
\(743\) | 18.8312 | + | 10.8722i | 0.690848 | + | 0.398862i | 0.803930 | − | 0.594724i | \(-0.202739\pi\) |
−0.113081 | + | 0.993586i | \(0.536072\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | − | 13.3154i | − | 0.487838i | ||||||
\(746\) | −31.1591 | − | 17.9897i | −1.14081 | − | 0.658649i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | − | 12.9138i | − | 0.472176i | ||||||
\(749\) | −0.280322 | − | 0.288444i | −0.0102427 | − | 0.0105395i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −7.57995 | −0.276596 | −0.138298 | − | 0.990391i | \(-0.544163\pi\) | ||||
−0.138298 | + | 0.990391i | \(0.544163\pi\) | |||||||
\(752\) | −33.8340 | − | 58.6022i | −1.23380 | − | 2.13700i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −16.1666 | − | 9.33381i | −0.588754 | − | 0.339917i | ||||
\(755\) | −11.8900 | −0.432720 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 10.3436 | 0.375944 | 0.187972 | − | 0.982174i | \(-0.439809\pi\) | ||||
0.187972 | + | 0.982174i | \(0.439809\pi\) | |||||||
\(758\) | 51.1686 | + | 29.5422i | 1.85853 | + | 1.07302i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 8.42392 | + | 14.5907i | 0.305568 | + | 0.529259i | ||||
\(761\) | 34.4339 | 1.24823 | 0.624114 | − | 0.781333i | \(-0.285460\pi\) | ||||
0.624114 | + | 0.781333i | \(0.285460\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −13.7486 | − | 3.89517i | −0.497734 | − | 0.141015i | ||||
\(764\) | 17.9629i | 0.649874i | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 34.2121 | + | 19.7523i | 1.23613 | + | 0.713681i | ||||
\(767\) | 4.37713i | 0.158049i | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −12.9344 | − | 7.46765i | −0.466425 | − | 0.269290i | 0.248317 | − | 0.968679i | \(-0.420123\pi\) |
−0.714742 | + | 0.699388i | \(0.753456\pi\) | |||||||
\(770\) | 5.10194 | + | 1.44545i | 0.183861 | + | 0.0520903i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 16.0439 | − | 27.7888i | 0.577431 | − | 1.00014i | ||||
\(773\) | −19.9924 | + | 34.6278i | −0.719076 | + | 1.24548i | 0.242290 | + | 0.970204i | \(0.422101\pi\) |
−0.961366 | + | 0.275272i | \(0.911232\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 7.36945 | − | 4.25476i | 0.264719 | − | 0.152835i | ||||
\(776\) | −35.7845 | − | 61.9806i | −1.28459 | − | 2.22497i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −18.3466 | + | 31.7772i | −0.657758 | + | 1.13927i | ||||
\(779\) | − | 7.98521i | − | 0.286100i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 6.42013 | 0.229730 | ||||||||
\(782\) | 27.2811 | + | 47.2523i | 0.975571 | + | 1.68974i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 1.77622 | − | 62.1796i | 0.0634364 | − | 2.22070i | ||||
\(785\) | −25.8383 | + | 14.9178i | −0.922209 | + | 0.532438i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −1.94091 | + | 1.12059i | −0.0691860 | + | 0.0399446i | −0.534194 | − | 0.845362i | \(-0.679385\pi\) |
0.465008 | + | 0.885307i | \(0.346051\pi\) | |||||||
\(788\) | 26.2561 | − | 15.1590i | 0.935336 | − | 0.540016i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −11.3468 | + | 6.55108i | −0.403701 | + | 0.233077i | ||||
\(791\) | 4.66671 | − | 16.4719i | 0.165929 | − | 0.585674i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −8.87159 | − | 15.3660i | −0.315039 | − | 0.545664i | ||||
\(794\) | 25.1766 | 0.893484 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | − | 75.8182i | − | 2.68731i | ||||||
\(797\) | 22.1077 | − | 38.2916i | 0.783094 | − | 1.35636i | −0.147037 | − | 0.989131i | \(-0.546974\pi\) |
0.930131 | − | 0.367227i | \(-0.119693\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 16.8668 | + | 29.2142i | 0.596705 | + | 1.03352i | ||||
\(800\) | 26.4522 | − | 15.2722i | 0.935226 | − | 0.539953i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −11.3225 | + | 19.6112i | −0.399812 | + | 0.692495i | ||||
\(803\) | 3.54309 | − | 6.13682i | 0.125033 | − | 0.216564i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −15.2632 | + | 3.85705i | −0.537957 | + | 0.135943i | ||||
\(806\) | 6.84243 | + | 3.95048i | 0.241014 | + | 0.139150i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 12.1145i | 0.426185i | ||||||||
\(809\) | −4.31478 | − | 2.49114i | −0.151699 | − | 0.0875837i | 0.422229 | − | 0.906489i | \(-0.361248\pi\) |
−0.573928 | + | 0.818906i | \(0.694581\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 36.5749i | 1.28432i | 0.766571 | + | 0.642160i | \(0.221961\pi\) | ||||
−0.766571 | + | 0.642160i | \(0.778039\pi\) | |||||||
\(812\) | 19.9803 | − | 70.5236i | 0.701170 | − | 2.47489i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 4.26182 | 0.149377 | ||||||||
\(815\) | 5.52693 | + | 9.57292i | 0.193600 | + | 0.335325i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 7.39861 | + | 4.27159i | 0.258845 | + | 0.149444i | ||||
\(818\) | −38.6225 | −1.35040 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 24.8690 | 0.868465 | ||||||||
\(821\) | −34.8397 | − | 20.1147i | −1.21591 | − | 0.702008i | −0.251872 | − | 0.967761i | \(-0.581046\pi\) |
−0.964041 | + | 0.265753i | \(0.914379\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 17.9016 | + | 31.0065i | 0.624011 | + | 1.08082i | 0.988731 | + | 0.149701i | \(0.0478313\pi\) |
−0.364720 | + | 0.931117i | \(0.618835\pi\) | |||||||
\(824\) | −52.3638 | −1.82418 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −23.7142 | + | 5.99264i | −0.825124 | + | 0.208511i | ||||
\(827\) | − | 32.0733i | − | 1.11530i | −0.830077 | − | 0.557648i | \(-0.811704\pi\) | ||
0.830077 | − | 0.557648i | \(-0.188296\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −14.0640 | − | 8.11986i | −0.488463 | − | 0.282014i | 0.235474 | − | 0.971881i | \(-0.424336\pi\) |
−0.723937 | + | 0.689866i | \(0.757669\pi\) | |||||||
\(830\) | 28.3874i | 0.985343i | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 5.66023 | + | 3.26793i | 0.196233 | + | 0.113295i | ||||
\(833\) | −0.885474 | + | 30.9976i | −0.0306799 | + | 1.07400i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −13.8248 | + | 23.9453i | −0.478429 | + | 0.828663i | ||||
\(836\) | −2.77157 | + | 4.80050i | −0.0958568 | + | 0.166029i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 9.60684 | − | 5.54651i | 0.331863 | − | 0.191601i | ||||
\(839\) | 1.35145 | + | 2.34077i | 0.0466571 | + | 0.0808125i | 0.888411 | − | 0.459049i | \(-0.151810\pi\) |
−0.841754 | + | 0.539862i | \(0.818477\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 2.67914 | − | 4.64041i | 0.0923842 | − | 0.160014i | ||||
\(842\) | 29.9129i | 1.03087i | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −38.3853 | −1.32128 | ||||||||
\(845\) | 7.19974 | + | 12.4703i | 0.247679 | + | 0.428992i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −6.88375 | − | 27.2405i | −0.236528 | − | 0.935996i | ||||
\(848\) | 23.7962 | − | 13.7388i | 0.817166 | − | 0.471791i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −34.1293 | + | 19.7046i | −1.17063 | + | 0.675861i | ||||
\(851\) | −10.9575 | + | 6.32632i | −0.375619 | + | 0.216864i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −41.3187 | + | 23.8554i | −1.41473 | + | 0.816793i | −0.995829 | − | 0.0912411i | \(-0.970917\pi\) |
−0.418897 | + | 0.908034i | \(0.637583\pi\) | |||||||
\(854\) | 71.1037 | − | 69.1015i | 2.43312 | − | 2.36461i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0.537495 | + | 0.930969i | 0.0183712 | + | 0.0318199i | ||||
\(857\) | −17.8795 | −0.610751 | −0.305375 | − | 0.952232i | \(-0.598782\pi\) | ||||
−0.305375 | + | 0.952232i | \(0.598782\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | − | 33.7058i | − | 1.15003i | −0.818144 | − | 0.575014i | \(-0.804997\pi\) | ||
0.818144 | − | 0.575014i | \(-0.195003\pi\) | |||||||
\(860\) | −13.3034 | + | 23.0422i | −0.453642 | + | 0.785731i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 21.6367 | + | 37.4759i | 0.736950 | + | 1.27643i | ||||
\(863\) | 16.4318 | − | 9.48693i | 0.559347 | − | 0.322939i | −0.193537 | − | 0.981093i | \(-0.561996\pi\) |
0.752883 | + | 0.658154i | \(0.228662\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 2.54826 | − | 4.41371i | 0.0866434 | − | 0.150071i | ||||
\(866\) | 16.0155 | − | 27.7396i | 0.544228 | − | 0.942630i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −8.45654 | + | 29.8487i | −0.287034 | + | 1.01313i | ||||
\(869\) | −2.15351 | − | 1.24333i | −0.0730530 | − | 0.0421772i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 16.7159i | 0.566397i | ||||||||
\(872\) | 33.0748 | + | 19.0957i | 1.12005 | + | 0.646663i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | − | 23.4204i | − | 0.792206i | ||||||
\(875\) | −6.84685 | − | 27.0946i | −0.231466 | − | 0.915963i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 37.2376 | 1.25742 | 0.628712 | − | 0.777638i | \(-0.283582\pi\) | ||||
0.628712 | + | 0.777638i | \(0.283582\pi\) | |||||||
\(878\) | −28.7035 | − | 49.7159i | −0.968695 | − | 1.67783i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −5.94726 | − | 3.43365i | −0.200482 | − | 0.115748i | ||||
\(881\) | 4.71527 | 0.158862 | 0.0794308 | − | 0.996840i | \(-0.474690\pi\) | ||||
0.0794308 | + | 0.996840i | \(0.474690\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 30.1766 | 1.01552 | 0.507762 | − | 0.861497i | \(-0.330473\pi\) | ||||
0.507762 | + | 0.861497i | \(0.330473\pi\) | |||||||
\(884\) | −22.2665 | − | 12.8556i | −0.748904 | − | 0.432380i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 6.33251 | + | 10.9682i | 0.212745 | + | 0.368485i | ||||
\(887\) | −38.4434 | −1.29080 | −0.645402 | − | 0.763843i | \(-0.723310\pi\) | ||||
−0.645402 | + | 0.763843i | \(0.723310\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 1.90039 | + | 7.52027i | 0.0637370 | + | 0.252222i | ||||
\(890\) | − | 5.27243i | − | 0.176732i | ||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −32.9058 | − | 18.9981i | −1.10177 | − | 0.636105i | ||||
\(893\) | − | 14.4799i | − | 0.484550i | ||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 9.03135 | + | 5.21425i | 0.301885 | + | 0.174293i | ||||
\(896\) | 2.88882 | − | 10.1966i | 0.0965088 | − | 0.340643i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −16.1329 | + | 27.9431i | −0.538363 | + | 0.932472i | ||||
\(899\) | −7.27098 | + | 12.5937i | −0.242501 | + | 0.420023i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −11.8628 | + | 6.84900i | −0.395208 | + | 0.228173i | ||||
\(902\) | 3.35857 | + | 5.81721i | 0.111828 | + | 0.193692i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −22.8781 | + | 39.6261i | −0.760916 | + | 1.31794i | ||||
\(905\) | 15.8755i | 0.527719i | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 43.5902 | 1.44739 | 0.723695 | − | 0.690120i | \(-0.242442\pi\) | ||||
0.723695 | + | 0.690120i | \(0.242442\pi\) | |||||||
\(908\) | 49.2103 | + | 85.2348i | 1.63310 | + | 2.82862i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 7.57123 | − | 7.35804i | 0.250984 | − | 0.243917i | ||||
\(911\) | 1.67736 | − | 0.968423i | 0.0555734 | − | 0.0320853i | −0.471956 | − | 0.881622i | \(-0.656452\pi\) |
0.527529 | + | 0.849537i | \(0.323119\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −4.66585 | + | 2.69383i | −0.154417 | + | 0.0891528i | ||||
\(914\) | 24.2025 | − | 13.9733i | 0.800548 | − | 0.462197i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 24.6379 | − | 14.2247i | 0.814058 | − | 0.469997i | ||||
\(917\) | 10.5189 | + | 41.6258i | 0.347366 | + | 1.37460i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 4.61421 | + | 7.99205i | 0.152209 | + | 0.263634i | 0.932039 | − | 0.362357i | \(-0.118028\pi\) |
−0.779830 | + | 0.625991i | \(0.784695\pi\) | |||||||
\(920\) | 42.0755 | 1.38719 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 1.72887i | 0.0569372i | ||||||||
\(923\) | 6.39118 | − | 11.0698i | 0.210368 | − | 0.364368i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −4.56937 | − | 7.91438i | −0.150240 | − | 0.260223i | ||||
\(926\) | −93.3880 | + | 53.9176i | −3.06892 | + | 1.77184i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −26.0987 | + | 45.2043i | −0.856732 | + | 1.48390i | ||||
\(929\) | −26.6849 | + | 46.2197i | −0.875504 | + | 1.51642i | −0.0192794 | + | 0.999814i | \(0.506137\pi\) |
−0.856225 | + | 0.516603i | \(0.827196\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 6.98187 | − | 11.3328i | 0.228822 | − | 0.371417i | ||||
\(932\) | 86.0952 | + | 49.7071i | 2.82014 | + | 1.62821i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | − | 101.961i | − | 3.33627i | ||||||
\(935\) | 2.96481 | + | 1.71173i | 0.0969595 | + | 0.0559796i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 28.6378i | − | 0.935555i | −0.883846 | − | 0.467778i | \(-0.845055\pi\) | ||
0.883846 | − | 0.467778i | \(-0.154945\pi\) | |||||||
\(938\) | −90.5628 | + | 22.8854i | −2.95698 | + | 0.747236i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 45.0959 | 1.47087 | ||||||||
\(941\) | 0.688308 | + | 1.19218i | 0.0224382 | + | 0.0388641i | 0.877026 | − | 0.480442i | \(-0.159524\pi\) |
−0.854588 | + | 0.519306i | \(0.826190\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −17.2704 | − | 9.97105i | −0.562401 | − | 0.324702i | ||||
\(944\) | 31.6764 | 1.03098 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −7.18651 | −0.233653 | ||||||||
\(947\) | 47.0080 | + | 27.1401i | 1.52755 | + | 0.881933i | 0.999464 | + | 0.0327450i | \(0.0104249\pi\) |
0.528090 | + | 0.849188i | \(0.322908\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −7.05423 | − | 12.2183i | −0.228990 | − | 0.396622i | ||||
\(950\) | 16.9160 | 0.548829 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 22.5916 | − | 79.7408i | 0.732199 | − | 2.58441i | ||||
\(953\) | 11.2998i | 0.366036i | 0.983110 | + | 0.183018i | \(0.0585867\pi\) | ||||
−0.983110 | + | 0.183018i | \(0.941413\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −4.12399 | − | 2.38099i | −0.133449 | − | 0.0770469i | ||||
\(956\) | 40.9911i | 1.32575i | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 85.6097 | + | 49.4268i | 2.76592 | + | 1.59691i | ||||
\(959\) | −44.6397 | + | 11.2805i | −1.44149 | + | 0.364268i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −12.4226 | + | 21.5166i | −0.400729 | + | 0.694083i | ||||
\(962\) | 4.24260 | − | 7.34839i | 0.136787 | − | 0.236922i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −34.6825 | + | 20.0240i | −1.11705 | + | 0.644928i | ||||
\(965\) | 4.25324 | + | 7.36682i | 0.136917 | + | 0.237146i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 5.93412 | − | 10.2782i | 0.190829 | − | 0.330525i | −0.754696 | − | 0.656074i | \(-0.772216\pi\) |
0.945525 | + | 0.325549i | \(0.105549\pi\) | |||||||
\(968\) | 75.0929i | 2.41358i | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 32.8907 | 1.05606 | ||||||||
\(971\) | −28.0837 | − | 48.6424i | −0.901249 | − | 1.56101i | −0.825875 | − | 0.563853i | \(-0.809318\pi\) |
−0.0753736 | − | 0.997155i | \(-0.524015\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 4.54081 | − | 16.0275i | 0.145572 | − | 0.513819i | ||||
\(974\) | −17.0826 | + | 9.86263i | −0.547361 | + | 0.316019i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −111.201 | + | 64.2020i | −3.55946 | + | 2.05506i | ||||
\(977\) | −18.7626 | + | 10.8326i | −0.600268 | + | 0.346565i | −0.769147 | − | 0.639072i | \(-0.779319\pi\) |
0.168879 | + | 0.985637i | \(0.445985\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0.866594 | − | 0.500328i | 0.0276964 | − | 0.0159906i | ||||
\(980\) | 35.2948 | + | 21.7443i | 1.12745 | + | 0.694596i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −4.99072 | − | 8.64419i | −0.159260 | − | 0.275847i | ||||
\(983\) | 19.4001 | 0.618768 | 0.309384 | − | 0.950937i | \(-0.399877\pi\) | ||||
0.309384 | + | 0.950937i | \(0.399877\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 8.03731i | 0.256090i | ||||||||
\(986\) | 33.6733 | − | 58.3238i | 1.07238 | − | 1.85741i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 5.51814 | + | 9.55771i | 0.175556 | + | 0.304071i | ||||
\(989\) | 18.4771 | − | 10.6678i | 0.587539 | − | 0.339216i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −12.6630 | + | 21.9330i | −0.402254 | + | 0.696725i | −0.993998 | − | 0.109402i | \(-0.965107\pi\) |
0.591743 | + | 0.806126i | \(0.298440\pi\) | |||||||
\(992\) | 11.0461 | − | 19.1325i | 0.350715 | − | 0.607456i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 68.7238 | + | 19.4704i | 2.17979 | + | 0.617563i | ||||
\(995\) | 17.4066 | + | 10.0497i | 0.551828 | + | 0.318598i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 5.56584i | 0.176272i | 0.996108 | + | 0.0881360i | \(0.0280910\pi\) | ||||
−0.996108 | + | 0.0881360i | \(0.971909\pi\) | |||||||
\(998\) | −72.2309 | − | 41.7025i | −2.28643 | − | 1.32007i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))