Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [600,2,Mod(251,600)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(600, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("600.251");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 600 = 2^{3} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 600.b (of order \(2\), degree \(1\), 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: | \(4.79102412128\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | 8.0.1649659456.5 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} - 2x^{5} + 4x^{4} - 4x^{3} - 8x + 16 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | no (minimal twist has level 120) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 251.6 | ||
Root | \(-0.578647 - 1.29041i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 600.251 |
Dual form | 600.2.b.e.251.5 |
$q$-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 \(\left(\mathbb{Z}/600\mathbb{Z}\right)^\times\).
\(n\) | \(151\) | \(301\) | \(401\) | \(577\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.578647 | + | 1.29041i | 0.409165 | + | 0.912460i | ||||
\(3\) | −0.751690 | + | 1.56044i | −0.433988 | + | 0.900919i | ||||
\(4\) | −1.33034 | + | 1.49339i | −0.665168 | + | 0.746694i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −2.44857 | − | 0.0670494i | −0.999625 | − | 0.0273728i | ||||
\(7\) | 4.28591i | 1.61992i | 0.586484 | + | 0.809961i | \(0.300512\pi\) | ||||
−0.586484 | + | 0.809961i | \(0.699488\pi\) | |||||||
\(8\) | −2.69688 | − | 0.852541i | −0.953492 | − | 0.301419i | ||||
\(9\) | −1.86993 | − | 2.34593i | −0.623308 | − | 0.781976i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.44673i | 0.737717i | 0.929486 | + | 0.368858i | \(0.120251\pi\) | ||||
−0.929486 | + | 0.368858i | \(0.879749\pi\) | |||||||
\(12\) | −1.33034 | − | 3.19847i | −0.384035 | − | 0.923319i | ||||
\(13\) | − | 2.71493i | − | 0.752985i | −0.926420 | − | 0.376493i | \(-0.877130\pi\) | ||
0.926420 | − | 0.376493i | \(-0.122870\pi\) | |||||||
\(14\) | −5.53060 | + | 2.48003i | −1.47811 | + | 0.662815i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.460411 | − | 3.97341i | −0.115103 | − | 0.993354i | ||||
\(17\) | 1.16504i | 0.282563i | 0.989969 | + | 0.141281i | \(0.0451222\pi\) | ||||
−0.989969 | + | 0.141281i | \(0.954878\pi\) | |||||||
\(18\) | 1.94519 | − | 3.77044i | 0.458486 | − | 0.888701i | ||||
\(19\) | 6.05444 | 1.38898 | 0.694492 | − | 0.719501i | \(-0.255629\pi\) | ||||
0.694492 | + | 0.719501i | \(0.255629\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −6.68789 | − | 3.22167i | −1.45942 | − | 0.703027i | ||||
\(22\) | −3.15729 | + | 1.41579i | −0.673137 | + | 0.301848i | ||||
\(23\) | −7.55782 | −1.57591 | −0.787957 | − | 0.615731i | \(-0.788861\pi\) | ||||
−0.787957 | + | 0.615731i | \(0.788861\pi\) | |||||||
\(24\) | 3.35755 | − | 3.56747i | 0.685358 | − | 0.728206i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 3.50338 | − | 1.57098i | 0.687069 | − | 0.308095i | ||||
\(27\) | 5.06628 | − | 1.15449i | 0.975005 | − | 0.222182i | ||||
\(28\) | −6.40052 | − | 5.70170i | −1.20959 | − | 1.07752i | ||||
\(29\) | −0.733092 | −0.136132 | −0.0680659 | − | 0.997681i | \(-0.521683\pi\) | ||||
−0.0680659 | + | 0.997681i | \(0.521683\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 0.469799i | − | 0.0843784i | −0.999110 | − | 0.0421892i | \(-0.986567\pi\) | ||
0.999110 | − | 0.0421892i | \(-0.0134332\pi\) | |||||||
\(32\) | 4.86093 | − | 2.89332i | 0.859300 | − | 0.511472i | ||||
\(33\) | −3.81797 | − | 1.83918i | −0.664623 | − | 0.320160i | ||||
\(34\) | −1.50338 | + | 0.674144i | −0.257827 | + | 0.115615i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 5.99101 | + | 0.328351i | 0.998501 | + | 0.0547251i | ||||
\(37\) | − | 1.36664i | − | 0.224674i | −0.993670 | − | 0.112337i | \(-0.964166\pi\) | ||
0.993670 | − | 0.112337i | \(-0.0358336\pi\) | |||||||
\(38\) | 3.50338 | + | 7.81273i | 0.568323 | + | 1.26739i | ||||
\(39\) | 4.23647 | + | 2.04078i | 0.678378 | + | 0.326787i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 4.69186i | 0.732745i | 0.930468 | + | 0.366372i | \(0.119400\pi\) | ||||
−0.930468 | + | 0.366372i | \(0.880600\pi\) | |||||||
\(42\) | 0.287368 | − | 10.4944i | 0.0443418 | − | 1.61931i | ||||
\(43\) | 1.50338 | 0.229263 | 0.114632 | − | 0.993408i | \(-0.463431\pi\) | ||||
0.114632 | + | 0.993408i | \(0.463431\pi\) | |||||||
\(44\) | −3.65391 | − | 3.25497i | −0.550848 | − | 0.490706i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −4.37330 | − | 9.75271i | −0.644809 | − | 1.43796i | ||||
\(47\) | −4.07812 | −0.594854 | −0.297427 | − | 0.954745i | \(-0.596129\pi\) | ||||
−0.297427 | + | 0.954745i | \(0.596129\pi\) | |||||||
\(48\) | 6.54635 | + | 2.26833i | 0.944884 | + | 0.327406i | ||||
\(49\) | −11.3690 | −1.62415 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −1.81797 | − | 0.875746i | −0.254566 | − | 0.122629i | ||||
\(52\) | 4.05444 | + | 3.61177i | 0.562249 | + | 0.500862i | ||||
\(53\) | 1.00676 | 0.138289 | 0.0691445 | − | 0.997607i | \(-0.477973\pi\) | ||||
0.0691445 | + | 0.997607i | \(0.477973\pi\) | |||||||
\(54\) | 4.42135 | + | 5.86955i | 0.601670 | + | 0.798745i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 3.65391 | − | 11.5586i | 0.488275 | − | 1.54458i | ||||
\(57\) | −4.55106 | + | 9.44757i | −0.602802 | + | 1.25136i | ||||
\(58\) | −0.424201 | − | 0.945992i | −0.0557003 | − | 0.124215i | ||||
\(59\) | − | 1.63484i | − | 0.212837i | −0.994321 | − | 0.106419i | \(-0.966062\pi\) | ||
0.994321 | − | 0.106419i | \(-0.0339384\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 10.9336i | 1.39990i | 0.714190 | + | 0.699952i | \(0.246795\pi\) | ||||
−0.714190 | + | 0.699952i | \(0.753205\pi\) | |||||||
\(62\) | 0.606236 | − | 0.271848i | 0.0769920 | − | 0.0345247i | ||||
\(63\) | 10.0544 | − | 8.01433i | 1.26674 | − | 1.00971i | ||||
\(64\) | 6.54635 | + | 4.59841i | 0.818293 | + | 0.574801i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0.164052 | − | 5.99099i | 0.0201934 | − | 0.737440i | ||||
\(67\) | 9.97632 | 1.21880 | 0.609401 | − | 0.792862i | \(-0.291410\pi\) | ||||
0.609401 | + | 0.792862i | \(0.291410\pi\) | |||||||
\(68\) | −1.73985 | − | 1.54989i | −0.210988 | − | 0.187952i | ||||
\(69\) | 5.68113 | − | 11.7935i | 0.683928 | − | 1.41977i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −11.6359 | −1.38093 | −0.690465 | − | 0.723365i | \(-0.742594\pi\) | ||||
−0.690465 | + | 0.723365i | \(0.742594\pi\) | |||||||
\(72\) | 3.04297 | + | 7.92088i | 0.358617 | + | 0.933485i | ||||
\(73\) | 9.63593 | 1.12780 | 0.563900 | − | 0.825843i | \(-0.309300\pi\) | ||||
0.563900 | + | 0.825843i | \(0.309300\pi\) | |||||||
\(74\) | 1.76353 | − | 0.790800i | 0.205006 | − | 0.0919287i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −8.05444 | + | 9.04162i | −0.923907 | + | 1.03714i | ||||
\(77\) | −10.4865 | −1.19504 | ||||||||
\(78\) | −0.182034 | + | 6.64769i | −0.0206113 | + | 0.752703i | ||||
\(79\) | 3.61177i | 0.406355i | 0.979142 | + | 0.203178i | \(0.0651269\pi\) | ||||
−0.979142 | + | 0.203178i | \(0.934873\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −2.00676 | + | 8.77342i | −0.222973 | + | 0.974825i | ||||
\(82\) | −6.05444 | + | 2.71493i | −0.668601 | + | 0.299814i | ||||
\(83\) | 5.45095i | 0.598319i | 0.954203 | + | 0.299160i | \(0.0967063\pi\) | ||||
−0.954203 | + | 0.299160i | \(0.903294\pi\) | |||||||
\(84\) | 13.7084 | − | 5.70170i | 1.49570 | − | 0.622107i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 0.869925 | + | 1.93998i | 0.0938065 | + | 0.209194i | ||||
\(87\) | 0.551058 | − | 1.14394i | 0.0590796 | − | 0.122644i | ||||
\(88\) | 2.08594 | − | 6.59854i | 0.222362 | − | 0.703407i | ||||
\(89\) | 7.75993i | 0.822551i | 0.911511 | + | 0.411275i | \(0.134917\pi\) | ||||
−0.911511 | + | 0.411275i | \(0.865083\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 11.6359 | 1.21978 | ||||||||
\(92\) | 10.0544 | − | 11.2867i | 1.04825 | − | 1.17672i | ||||
\(93\) | 0.733092 | + | 0.353143i | 0.0760181 | + | 0.0366192i | ||||
\(94\) | −2.35979 | − | 5.26246i | −0.243393 | − | 0.542781i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0.860934 | + | 9.76006i | 0.0878687 | + | 0.996132i | ||||
\(97\) | −17.1156 | −1.73783 | −0.868915 | − | 0.494962i | \(-0.835182\pi\) | ||||
−0.868915 | + | 0.494962i | \(0.835182\pi\) | |||||||
\(98\) | −6.57865 | − | 14.6707i | −0.664544 | − | 1.48197i | ||||
\(99\) | 5.73985 | − | 4.57520i | 0.576877 | − | 0.459825i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 5.36226 | 0.533565 | 0.266783 | − | 0.963757i | \(-0.414039\pi\) | ||||
0.266783 | + | 0.963757i | \(0.414039\pi\) | |||||||
\(102\) | 0.0781150 | − | 2.85268i | 0.00773454 | − | 0.282457i | ||||
\(103\) | 13.0910i | 1.28990i | 0.764225 | + | 0.644949i | \(0.223122\pi\) | ||||
−0.764225 | + | 0.644949i | \(0.776878\pi\) | |||||||
\(104\) | −2.31459 | + | 7.32184i | −0.226964 | + | 0.717965i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.582557 | + | 1.29914i | 0.0565830 | + | 0.126183i | ||||
\(107\) | 8.82622i | 0.853263i | 0.904425 | + | 0.426632i | \(0.140300\pi\) | ||||
−0.904425 | + | 0.426632i | \(0.859700\pi\) | |||||||
\(108\) | −5.01575 | + | 9.10177i | −0.482641 | + | 0.875818i | ||||
\(109\) | − | 0.780183i | − | 0.0747280i | −0.999302 | − | 0.0373640i | \(-0.988104\pi\) | ||
0.999302 | − | 0.0373640i | \(-0.0118961\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 2.13255 | + | 1.02729i | 0.202413 | + | 0.0975058i | ||||
\(112\) | 17.0297 | − | 1.97328i | 1.60916 | − | 0.186457i | ||||
\(113\) | − | 2.91653i | − | 0.274364i | −0.990546 | − | 0.137182i | \(-0.956195\pi\) | ||
0.990546 | − | 0.137182i | \(-0.0438045\pi\) | |||||||
\(114\) | −14.8247 | − | 0.405947i | −1.38846 | − | 0.0380204i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0.975259 | − | 1.09479i | 0.0905505 | − | 0.101649i | ||||
\(117\) | −6.36902 | + | 5.07671i | −0.588816 | + | 0.469342i | ||||
\(118\) | 2.10961 | − | 0.945992i | 0.194206 | − | 0.0870856i | ||||
\(119\) | −4.99324 | −0.457730 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.01352 | 0.455774 | ||||||||
\(122\) | −14.1089 | + | 6.32669i | −1.27736 | + | 0.572792i | ||||
\(123\) | −7.32134 | − | 3.52682i | −0.660143 | − | 0.318003i | ||||
\(124\) | 0.701592 | + | 0.624991i | 0.0630048 | + | 0.0561258i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 16.1598 | + | 8.33692i | 1.43963 | + | 0.742712i | ||||
\(127\) | 2.93762i | 0.260672i | 0.991470 | + | 0.130336i | \(0.0416056\pi\) | ||||
−0.991470 | + | 0.130336i | \(0.958394\pi\) | |||||||
\(128\) | −2.14582 | + | 11.1083i | −0.189666 | + | 0.981849i | ||||
\(129\) | −1.13007 | + | 2.34593i | −0.0994975 | + | 0.206547i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 7.87658i | 0.688180i | 0.938937 | + | 0.344090i | \(0.111813\pi\) | ||||
−0.938937 | + | 0.344090i | \(0.888187\pi\) | |||||||
\(132\) | 7.82579 | − | 3.25497i | 0.681147 | − | 0.283309i | ||||
\(133\) | 25.9488i | 2.25004i | ||||||||
\(134\) | 5.77276 | + | 12.8736i | 0.498691 | + | 1.11211i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.993241 | − | 3.14197i | 0.0851697 | − | 0.269421i | ||||
\(137\) | 2.51333i | 0.214728i | 0.994220 | + | 0.107364i | \(0.0342410\pi\) | ||||
−0.994220 | + | 0.107364i | \(0.965759\pi\) | |||||||
\(138\) | 18.5059 | + | 0.506747i | 1.57532 | + | 0.0431372i | ||||
\(139\) | 2.57474 | 0.218386 | 0.109193 | − | 0.994021i | \(-0.465173\pi\) | ||||
0.109193 | + | 0.994021i | \(0.465173\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 3.06548 | − | 6.36364i | 0.258160 | − | 0.535915i | ||||
\(142\) | −6.73309 | − | 15.0152i | −0.565029 | − | 1.26004i | ||||
\(143\) | 6.64269 | 0.555490 | ||||||||
\(144\) | −8.46041 | + | 8.51008i | −0.705034 | + | 0.709173i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 5.57580 | + | 12.4343i | 0.461456 | + | 1.02907i | ||||
\(147\) | 8.54598 | − | 17.7406i | 0.704860 | − | 1.46322i | ||||
\(148\) | 2.04092 | + | 1.81809i | 0.167763 | + | 0.149446i | ||||
\(149\) | −16.1224 | −1.32080 | −0.660399 | − | 0.750915i | \(-0.729613\pi\) | ||||
−0.660399 | + | 0.750915i | \(0.729613\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 17.8468i | 1.45235i | 0.687511 | + | 0.726174i | \(0.258703\pi\) | ||||
−0.687511 | + | 0.726174i | \(0.741297\pi\) | |||||||
\(152\) | −16.3281 | − | 5.16166i | −1.32438 | − | 0.418666i | ||||
\(153\) | 2.73309 | − | 2.17853i | 0.220957 | − | 0.176124i | ||||
\(154\) | −6.06795 | − | 13.5319i | −0.488970 | − | 1.09043i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −8.68361 | + | 3.61177i | −0.695245 | + | 0.289173i | ||||
\(157\) | − | 23.2338i | − | 1.85426i | −0.374737 | − | 0.927131i | \(-0.622267\pi\) | ||
0.374737 | − | 0.927131i | \(-0.377733\pi\) | |||||||
\(158\) | −4.66067 | + | 2.08994i | −0.370783 | + | 0.166266i | ||||
\(159\) | −0.756770 | + | 1.57098i | −0.0600158 | + | 0.124587i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | − | 32.3921i | − | 2.55286i | ||||||
\(162\) | −12.4825 | + | 2.48716i | −0.980722 | + | 0.195410i | ||||
\(163\) | −6.96956 | −0.545898 | −0.272949 | − | 0.962028i | \(-0.587999\pi\) | ||||
−0.272949 | + | 0.962028i | \(0.587999\pi\) | |||||||
\(164\) | −7.00676 | − | 6.24175i | −0.547136 | − | 0.487399i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −7.03398 | + | 3.15417i | −0.545943 | + | 0.244811i | ||||
\(167\) | 9.93540 | 0.768825 | 0.384412 | − | 0.923162i | \(-0.374404\pi\) | ||||
0.384412 | + | 0.923162i | \(0.374404\pi\) | |||||||
\(168\) | 15.2898 | + | 14.3902i | 1.17964 | + | 1.11023i | ||||
\(169\) | 5.62917 | 0.433013 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −11.3213 | − | 14.2033i | −0.865765 | − | 1.08615i | ||||
\(172\) | −2.00000 | + | 2.24513i | −0.152499 | + | 0.171189i | ||||
\(173\) | −8.01352 | −0.609256 | −0.304628 | − | 0.952471i | \(-0.598532\pi\) | ||||
−0.304628 | + | 0.952471i | \(0.598532\pi\) | |||||||
\(174\) | 1.79503 | + | 0.0491534i | 0.136081 | + | 0.00372631i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 9.72187 | − | 1.12650i | 0.732813 | − | 0.0849132i | ||||
\(177\) | 2.55106 | + | 1.22889i | 0.191749 | + | 0.0923690i | ||||
\(178\) | −10.0135 | + | 4.49025i | −0.750545 | + | 0.336559i | ||||
\(179\) | − | 23.5020i | − | 1.75663i | −0.478087 | − | 0.878313i | \(-0.658670\pi\) | ||
0.478087 | − | 0.878313i | \(-0.341330\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 9.92011i | − | 0.737356i | −0.929557 | − | 0.368678i | \(-0.879811\pi\) | ||
0.929557 | − | 0.368678i | \(-0.120189\pi\) | |||||||
\(182\) | 6.73309 | + | 15.0152i | 0.499090 | + | 1.11300i | ||||
\(183\) | −17.0612 | − | 8.21868i | −1.26120 | − | 0.607542i | ||||
\(184\) | 20.3825 | + | 6.44335i | 1.50262 | + | 0.475010i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −0.0314998 | + | 1.15034i | −0.00230968 | + | 0.0843468i | ||||
\(187\) | −2.85053 | −0.208451 | ||||||||
\(188\) | 5.42526 | − | 6.09020i | 0.395678 | − | 0.444174i | ||||
\(189\) | 4.94804 | + | 21.7136i | 0.359917 | + | 1.57943i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 22.4865 | 1.62706 | 0.813532 | − | 0.581521i | \(-0.197542\pi\) | ||||
0.813532 | + | 0.581521i | \(0.197542\pi\) | |||||||
\(192\) | −12.0963 | + | 6.75859i | −0.872978 | + | 0.487759i | ||||
\(193\) | 13.1156 | 0.944084 | 0.472042 | − | 0.881576i | \(-0.343517\pi\) | ||||
0.472042 | + | 0.881576i | \(0.343517\pi\) | |||||||
\(194\) | −9.90390 | − | 22.0863i | −0.711059 | − | 1.58570i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 15.1246 | − | 16.9784i | 1.08033 | − | 1.21274i | ||||
\(197\) | 24.2786 | 1.72978 | 0.864890 | − | 0.501961i | \(-0.167388\pi\) | ||||
0.864890 | + | 0.501961i | \(0.167388\pi\) | |||||||
\(198\) | 9.22525 | + | 4.75936i | 0.655610 | + | 0.338233i | ||||
\(199\) | − | 1.81809i | − | 0.128881i | −0.997922 | − | 0.0644404i | \(-0.979474\pi\) | ||
0.997922 | − | 0.0644404i | \(-0.0205262\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −7.49910 | + | 15.5674i | −0.528946 | + | 1.09804i | ||||
\(202\) | 3.10286 | + | 6.91954i | 0.218316 | + | 0.486857i | ||||
\(203\) | − | 3.14197i | − | 0.220523i | ||||||
\(204\) | 3.72633 | − | 1.54989i | 0.260896 | − | 0.108514i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −16.8929 | + | 7.57509i | −1.17698 | + | 0.527781i | ||||
\(207\) | 14.1326 | + | 17.7301i | 0.982280 | + | 1.23233i | ||||
\(208\) | −10.7875 | + | 1.24998i | −0.747981 | + | 0.0866707i | ||||
\(209\) | 14.8136i | 1.02468i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.06120 | 0.0730557 | 0.0365279 | − | 0.999333i | \(-0.488370\pi\) | ||||
0.0365279 | + | 0.999333i | \(0.488370\pi\) | |||||||
\(212\) | −1.33933 | + | 1.50348i | −0.0919854 | + | 0.103259i | ||||
\(213\) | 8.74661 | − | 18.1571i | 0.599308 | − | 1.24411i | ||||
\(214\) | −11.3895 | + | 5.10726i | −0.778569 | + | 0.349125i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −14.6474 | − | 1.20568i | −0.996629 | − | 0.0820364i | ||||
\(217\) | 2.01352 | 0.136686 | ||||||||
\(218\) | 1.00676 | − | 0.451450i | 0.0681863 | − | 0.0305761i | ||||
\(219\) | −7.24323 | + | 15.0363i | −0.489452 | + | 1.01606i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 3.16299 | 0.212766 | ||||||||
\(222\) | −0.0916323 | + | 3.34631i | −0.00614996 | + | 0.224590i | ||||
\(223\) | − | 5.22551i | − | 0.349926i | −0.984575 | − | 0.174963i | \(-0.944019\pi\) | ||
0.984575 | − | 0.174963i | \(-0.0559806\pi\) | |||||||
\(224\) | 12.4005 | + | 20.8335i | 0.828545 | + | 1.39200i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 3.76353 | − | 1.68764i | 0.250346 | − | 0.112260i | ||||
\(227\) | − | 13.8951i | − | 0.922248i | −0.887336 | − | 0.461124i | \(-0.847446\pi\) | ||
0.887336 | − | 0.461124i | \(-0.152554\pi\) | |||||||
\(228\) | −8.05444 | − | 19.3649i | −0.533418 | − | 1.28247i | ||||
\(229\) | − | 0.233312i | − | 0.0154177i | −0.999970 | − | 0.00770885i | \(-0.997546\pi\) | ||
0.999970 | − | 0.00770885i | \(-0.00245383\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 7.88256 | − | 16.3635i | 0.518635 | − | 1.07664i | ||||
\(232\) | 1.97706 | + | 0.624991i | 0.129801 | + | 0.0410327i | ||||
\(233\) | 8.62188i | 0.564838i | 0.959291 | + | 0.282419i | \(0.0911369\pi\) | ||||
−0.959291 | + | 0.282419i | \(0.908863\pi\) | |||||||
\(234\) | −10.2365 | − | 5.28106i | −0.669179 | − | 0.345233i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 2.44144 | + | 2.17488i | 0.158924 | + | 0.141573i | ||||
\(237\) | −5.63593 | − | 2.71493i | −0.366093 | − | 0.176353i | ||||
\(238\) | −2.88932 | − | 6.44335i | −0.187287 | − | 0.417660i | ||||
\(239\) | 20.1089 | 1.30073 | 0.650367 | − | 0.759620i | \(-0.274615\pi\) | ||||
0.650367 | + | 0.759620i | \(0.274615\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −9.12420 | −0.587741 | −0.293871 | − | 0.955845i | \(-0.594943\pi\) | ||||
−0.293871 | + | 0.955845i | \(0.594943\pi\) | |||||||
\(242\) | 2.90105 | + | 6.46951i | 0.186487 | + | 0.415876i | ||||
\(243\) | −12.1819 | − | 9.72631i | −0.781470 | − | 0.623943i | ||||
\(244\) | −16.3281 | − | 14.5454i | −1.04530 | − | 0.931172i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0.314586 | − | 11.4883i | 0.0200573 | − | 0.732470i | ||||
\(247\) | − | 16.4374i | − | 1.04588i | ||||||
\(248\) | −0.400523 | + | 1.26699i | −0.0254332 | + | 0.0804542i | ||||
\(249\) | −8.50586 | − | 4.09742i | −0.539037 | − | 0.259663i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 13.3064i | 0.839895i | 0.907548 | + | 0.419947i | \(0.137951\pi\) | ||||
−0.907548 | + | 0.419947i | \(0.862049\pi\) | |||||||
\(252\) | −1.40728 | + | 25.6769i | −0.0886504 | + | 1.61749i | ||||
\(253\) | − | 18.4919i | − | 1.16258i | ||||||
\(254\) | −3.79075 | + | 1.69984i | −0.237853 | + | 0.106658i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −15.5760 | + | 3.65881i | −0.973503 | + | 0.228675i | ||||
\(257\) | − | 30.2136i | − | 1.88467i | −0.334668 | − | 0.942336i | \(-0.608624\pi\) | ||
0.334668 | − | 0.942336i | \(-0.391376\pi\) | |||||||
\(258\) | −3.68113 | − | 0.100801i | −0.229177 | − | 0.00627558i | ||||
\(259\) | 5.85729 | 0.363954 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 1.37083 | + | 1.71978i | 0.0848521 | + | 0.106452i | ||||
\(262\) | −10.1641 | + | 4.55776i | −0.627937 | + | 0.281579i | ||||
\(263\) | 14.9286 | 0.920540 | 0.460270 | − | 0.887779i | \(-0.347753\pi\) | ||||
0.460270 | + | 0.887779i | \(0.347753\pi\) | |||||||
\(264\) | 8.72863 | + | 8.21503i | 0.537210 | + | 0.505600i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −33.4847 | + | 15.0152i | −2.05308 | + | 0.920639i | ||||
\(267\) | −12.1089 | − | 5.83306i | −0.741051 | − | 0.356977i | ||||
\(268\) | −13.2719 | + | 14.8985i | −0.810708 | + | 0.910071i | ||||
\(269\) | 4.85053 | 0.295742 | 0.147871 | − | 0.989007i | \(-0.452758\pi\) | ||||
0.147871 | + | 0.989007i | \(0.452758\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 14.8802i | − | 0.903906i | −0.892042 | − | 0.451953i | \(-0.850728\pi\) | ||
0.892042 | − | 0.451953i | \(-0.149272\pi\) | |||||||
\(272\) | 4.62917 | − | 0.536396i | 0.280685 | − | 0.0325238i | ||||
\(273\) | −8.74661 | + | 18.1571i | −0.529369 | + | 1.09892i | ||||
\(274\) | −3.24323 | + | 1.45433i | −0.195931 | + | 0.0878591i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 10.0544 | + | 24.1734i | 0.605206 | + | 1.45507i | ||||
\(277\) | 19.6832i | 1.18265i | 0.806434 | + | 0.591324i | \(0.201395\pi\) | ||||
−0.806434 | + | 0.591324i | \(0.798605\pi\) | |||||||
\(278\) | 1.48986 | + | 3.32247i | 0.0893560 | + | 0.199269i | ||||
\(279\) | −1.10212 | + | 0.878490i | −0.0659819 | + | 0.0525938i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 2.29836i | − | 0.137109i | −0.997647 | − | 0.0685544i | \(-0.978161\pi\) | ||
0.997647 | − | 0.0685544i | \(-0.0218387\pi\) | |||||||
\(282\) | 9.98556 | + | 0.273435i | 0.594631 | + | 0.0162828i | ||||
\(283\) | 21.6123 | 1.28472 | 0.642358 | − | 0.766405i | \(-0.277956\pi\) | ||||
0.642358 | + | 0.766405i | \(0.277956\pi\) | |||||||
\(284\) | 15.4797 | − | 17.3770i | 0.918551 | − | 1.03113i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 3.84377 | + | 8.57182i | 0.227287 | + | 0.506862i | ||||
\(287\) | −20.1089 | −1.18699 | ||||||||
\(288\) | −15.8771 | − | 5.99310i | −0.935568 | − | 0.353147i | ||||
\(289\) | 15.6427 | 0.920158 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 12.8656 | − | 26.7079i | 0.754197 | − | 1.56564i | ||||
\(292\) | −12.8190 | + | 14.3902i | −0.750177 | + | 0.842121i | ||||
\(293\) | 6.00000 | 0.350524 | 0.175262 | − | 0.984522i | \(-0.443923\pi\) | ||||
0.175262 | + | 0.984522i | \(0.443923\pi\) | |||||||
\(294\) | 27.8379 | + | 0.762287i | 1.62354 | + | 0.0444575i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −1.16511 | + | 3.68566i | −0.0677209 | + | 0.214225i | ||||
\(297\) | 2.82472 | + | 12.3958i | 0.163907 | + | 0.719278i | ||||
\(298\) | −9.32917 | − | 20.8046i | −0.540424 | − | 1.20518i | ||||
\(299\) | 20.5189i | 1.18664i | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 6.44335i | 0.371388i | ||||||||
\(302\) | −23.0297 | + | 10.3270i | −1.32521 | + | 0.594250i | ||||
\(303\) | −4.03076 | + | 8.36747i | −0.231561 | + | 0.480699i | ||||
\(304\) | −2.78753 | − | 24.0568i | −0.159876 | − | 1.37975i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 4.39270 | + | 2.26622i | 0.251114 | + | 0.129551i | ||||
\(307\) | 4.98308 | 0.284399 | 0.142200 | − | 0.989838i | \(-0.454582\pi\) | ||||
0.142200 | + | 0.989838i | \(0.454582\pi\) | |||||||
\(308\) | 13.9505 | − | 15.6603i | 0.794905 | − | 0.892331i | ||||
\(309\) | −20.4277 | − | 9.84040i | −1.16209 | − | 0.559801i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −11.0886 | −0.628777 | −0.314388 | − | 0.949294i | \(-0.601799\pi\) | ||||
−0.314388 | + | 0.949294i | \(0.601799\pi\) | |||||||
\(312\) | −9.68541 | − | 9.11552i | −0.548329 | − | 0.516064i | ||||
\(313\) | −11.2583 | −0.636359 | −0.318180 | − | 0.948030i | \(-0.603072\pi\) | ||||
−0.318180 | + | 0.948030i | \(0.603072\pi\) | |||||||
\(314\) | 29.9813 | − | 13.4442i | 1.69194 | − | 0.758699i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −5.39376 | − | 4.80486i | −0.303423 | − | 0.270295i | ||||
\(317\) | 27.2110 | 1.52832 | 0.764161 | − | 0.645026i | \(-0.223153\pi\) | ||||
0.764161 | + | 0.645026i | \(0.223153\pi\) | |||||||
\(318\) | −2.46512 | − | 0.0675026i | −0.138237 | − | 0.00378536i | ||||
\(319\) | − | 1.79368i | − | 0.100427i | ||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −13.7728 | − | 6.63458i | −0.768721 | − | 0.370306i | ||||
\(322\) | 41.7992 | − | 18.7436i | 2.32938 | − | 1.04454i | ||||
\(323\) | 7.05364i | 0.392475i | ||||||||
\(324\) | −10.4325 | − | 14.6685i | −0.579581 | − | 0.814915i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −4.03291 | − | 8.99362i | −0.223362 | − | 0.498111i | ||||
\(327\) | 1.21743 | + | 0.586455i | 0.0673238 | + | 0.0324311i | ||||
\(328\) | 4.00000 | − | 12.6534i | 0.220863 | − | 0.698666i | ||||
\(329\) | − | 17.4784i | − | 0.963617i | ||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −18.3195 | −1.00693 | −0.503467 | − | 0.864015i | \(-0.667942\pi\) | ||||
−0.503467 | + | 0.864015i | \(0.667942\pi\) | |||||||
\(332\) | −8.14037 | − | 7.25159i | −0.446761 | − | 0.397983i | ||||
\(333\) | −3.20603 | + | 2.55551i | −0.175690 | + | 0.140041i | ||||
\(334\) | 5.74909 | + | 12.8208i | 0.314576 | + | 0.701522i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −9.72187 | + | 28.0571i | −0.530371 | + | 1.53064i | ||||
\(337\) | −2.54733 | −0.138762 | −0.0693810 | − | 0.997590i | \(-0.522102\pi\) | ||||
−0.0693810 | + | 0.997590i | \(0.522102\pi\) | |||||||
\(338\) | 3.25730 | + | 7.26396i | 0.177174 | + | 0.395107i | ||||
\(339\) | 4.55106 | + | 2.19232i | 0.247180 | + | 0.119071i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 1.14947 | 0.0622474 | ||||||||
\(342\) | 11.7770 | − | 22.8279i | 0.636830 | − | 1.23439i | ||||
\(343\) | − | 18.7252i | − | 1.01107i | ||||||
\(344\) | −4.05444 | − | 1.28169i | −0.218601 | − | 0.0691042i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −4.63699 | − | 10.3408i | −0.249286 | − | 0.555922i | ||||
\(347\) | 29.3727i | 1.57681i | 0.615156 | + | 0.788405i | \(0.289093\pi\) | ||||
−0.615156 | + | 0.788405i | \(0.710907\pi\) | |||||||
\(348\) | 0.975259 | + | 2.34477i | 0.0522794 | + | 0.125693i | ||||
\(349\) | − | 23.5131i | − | 1.25863i | −0.777152 | − | 0.629313i | \(-0.783336\pi\) | ||
0.777152 | − | 0.629313i | \(-0.216664\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −3.13436 | − | 13.7546i | −0.167300 | − | 0.734165i | ||||
\(352\) | 7.07918 | + | 11.8934i | 0.377321 | + | 0.633920i | ||||
\(353\) | − | 31.0677i | − | 1.65357i | −0.562522 | − | 0.826783i | \(-0.690169\pi\) | ||
0.562522 | − | 0.826783i | \(-0.309831\pi\) | |||||||
\(354\) | −0.109615 | + | 4.00301i | −0.00582596 | + | 0.212758i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −11.5886 | − | 10.3233i | −0.614193 | − | 0.547134i | ||||
\(357\) | 3.75337 | − | 7.79164i | 0.198649 | − | 0.412377i | ||||
\(358\) | 30.3274 | − | 13.5994i | 1.60285 | − | 0.718749i | ||||
\(359\) | −11.3979 | −0.601556 | −0.300778 | − | 0.953694i | \(-0.597246\pi\) | ||||
−0.300778 | + | 0.953694i | \(0.597246\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 17.6562 | 0.929274 | ||||||||
\(362\) | 12.8010 | − | 5.74024i | 0.672808 | − | 0.301700i | ||||
\(363\) | −3.76861 | + | 7.82328i | −0.197801 | + | 0.410616i | ||||
\(364\) | −15.4797 | + | 17.3770i | −0.811357 | + | 0.910800i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0.733092 | − | 26.7717i | 0.0383193 | − | 1.39938i | ||||
\(367\) | − | 21.0209i | − | 1.09728i | −0.836059 | − | 0.548640i | \(-0.815146\pi\) | ||
0.836059 | − | 0.548640i | \(-0.184854\pi\) | |||||||
\(368\) | 3.47970 | + | 30.0303i | 0.181392 | + | 1.56544i | ||||
\(369\) | 11.0068 | − | 8.77342i | 0.572989 | − | 0.456726i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 4.31488i | 0.224017i | ||||||||
\(372\) | −1.50264 | + | 0.624991i | −0.0779082 | + | 0.0324043i | ||||
\(373\) | 10.3471i | 0.535755i | 0.963453 | + | 0.267878i | \(0.0863223\pi\) | ||||
−0.963453 | + | 0.267878i | \(0.913678\pi\) | |||||||
\(374\) | −1.64945 | − | 3.67836i | −0.0852910 | − | 0.190204i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 10.9982 | + | 3.47676i | 0.567189 | + | 0.179300i | ||||
\(377\) | 1.99029i | 0.102505i | ||||||||
\(378\) | −25.1564 | + | 18.9495i | −1.29390 | + | 0.974658i | ||||
\(379\) | −17.5341 | −0.900668 | −0.450334 | − | 0.892860i | \(-0.648695\pi\) | ||||
−0.450334 | + | 0.892860i | \(0.648695\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −4.58397 | − | 2.20818i | −0.234844 | − | 0.113128i | ||||
\(382\) | 13.0117 | + | 29.0168i | 0.665737 | + | 1.48463i | ||||
\(383\) | −24.7343 | −1.26386 | −0.631932 | − | 0.775023i | \(-0.717738\pi\) | ||||
−0.631932 | + | 0.775023i | \(0.717738\pi\) | |||||||
\(384\) | −15.7209 | − | 11.6985i | −0.802253 | − | 0.596984i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 7.58932 | + | 16.9246i | 0.386286 | + | 0.861439i | ||||
\(387\) | −2.81121 | − | 3.52682i | −0.142902 | − | 0.179278i | ||||
\(388\) | 22.7695 | − | 25.5603i | 1.15595 | − | 1.29763i | ||||
\(389\) | 24.2313 | 1.22857 | 0.614287 | − | 0.789083i | \(-0.289444\pi\) | ||||
0.614287 | + | 0.789083i | \(0.289444\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 8.80513i | − | 0.445295i | ||||||
\(392\) | 30.6609 | + | 9.69256i | 1.54861 | + | 0.489548i | ||||
\(393\) | −12.2909 | − | 5.92075i | −0.619994 | − | 0.298662i | ||||
\(394\) | 14.0487 | + | 31.3295i | 0.707765 | + | 1.57836i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −0.803385 | + | 14.6584i | −0.0403716 | + | 0.736611i | ||||
\(397\) | 21.8856i | 1.09840i | 0.835689 | + | 0.549202i | \(0.185068\pi\) | ||||
−0.835689 | + | 0.549202i | \(0.814932\pi\) | |||||||
\(398\) | 2.34609 | − | 1.05203i | 0.117599 | − | 0.0527335i | ||||
\(399\) | −40.4914 | − | 19.5054i | −2.02711 | − | 0.976493i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | − | 21.4163i | − | 1.06948i | −0.845016 | − | 0.534740i | \(-0.820409\pi\) | ||
0.845016 | − | 0.534740i | \(-0.179591\pi\) | |||||||
\(402\) | −24.4277 | − | 0.668907i | −1.21835 | − | 0.0333620i | ||||
\(403\) | −1.27547 | −0.0635357 | ||||||||
\(404\) | −7.13362 | + | 8.00794i | −0.354911 | + | 0.398410i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 4.05444 | − | 1.81809i | 0.201218 | − | 0.0902302i | ||||
\(407\) | 3.34379 | 0.165746 | ||||||||
\(408\) | 4.15623 | + | 3.91167i | 0.205764 | + | 0.193657i | ||||
\(409\) | −21.5455 | −1.06536 | −0.532679 | − | 0.846317i | \(-0.678815\pi\) | ||||
−0.532679 | + | 0.846317i | \(0.678815\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −3.92188 | − | 1.88924i | −0.193452 | − | 0.0931894i | ||||
\(412\) | −19.5500 | − | 17.4155i | −0.963159 | − | 0.857999i | ||||
\(413\) | 7.00676 | 0.344780 | ||||||||
\(414\) | −14.7014 | + | 28.4963i | −0.722535 | + | 1.40052i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −7.85516 | − | 13.1971i | −0.385131 | − | 0.647040i | ||||
\(417\) | −1.93540 | + | 4.01771i | −0.0947771 | + | 0.196748i | ||||
\(418\) | −19.1156 | + | 8.57182i | −0.934976 | + | 0.419261i | ||||
\(419\) | 14.6547i | 0.715930i | 0.933735 | + | 0.357965i | \(0.116529\pi\) | ||||
−0.933735 | + | 0.357965i | \(0.883471\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 19.0967i | − | 0.930718i | −0.885122 | − | 0.465359i | \(-0.845925\pi\) | ||
0.885122 | − | 0.465359i | \(-0.154075\pi\) | |||||||
\(422\) | 0.614057 | + | 1.36938i | 0.0298918 | + | 0.0666605i | ||||
\(423\) | 7.62577 | + | 9.56697i | 0.370778 | + | 0.465162i | ||||
\(424\) | −2.71511 | − | 0.858303i | −0.131857 | − | 0.0416829i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 28.4914 | + | 0.780183i | 1.38041 | + | 0.0378000i | ||||
\(427\) | −46.8604 | −2.26774 | ||||||||
\(428\) | −13.1810 | − | 11.7418i | −0.637126 | − | 0.567564i | ||||
\(429\) | −4.99324 | + | 10.3655i | −0.241076 | + | 0.500451i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −27.8537 | −1.34166 | −0.670832 | − | 0.741609i | \(-0.734063\pi\) | ||||
−0.670832 | + | 0.741609i | \(0.734063\pi\) | |||||||
\(432\) | −6.91984 | − | 19.5989i | −0.332931 | − | 0.942951i | ||||
\(433\) | −24.0750 | −1.15697 | −0.578486 | − | 0.815692i | \(-0.696356\pi\) | ||||
−0.578486 | + | 0.815692i | \(0.696356\pi\) | |||||||
\(434\) | 1.16511 | + | 2.59827i | 0.0559273 | + | 0.124721i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 1.16511 | + | 1.03791i | 0.0557989 | + | 0.0497067i | ||||
\(437\) | −45.7583 | −2.18892 | ||||||||
\(438\) | −23.5943 | − | 0.646084i | −1.12738 | − | 0.0308711i | ||||
\(439\) | 24.6249i | 1.17528i | 0.809122 | + | 0.587641i | \(0.199943\pi\) | ||||
−0.809122 | + | 0.587641i | \(0.800057\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 21.2592 | + | 26.6709i | 1.01234 | + | 1.27004i | ||||
\(442\) | 1.83025 | + | 4.08156i | 0.0870562 | + | 0.194140i | ||||
\(443\) | − | 7.61113i | − | 0.361616i | −0.983518 | − | 0.180808i | \(-0.942129\pi\) | ||
0.983518 | − | 0.180808i | \(-0.0578712\pi\) | |||||||
\(444\) | −4.37115 | + | 1.81809i | −0.207446 | + | 0.0862826i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 6.74307 | − | 3.02372i | 0.319294 | − | 0.143177i | ||||
\(447\) | 12.1190 | − | 25.1580i | 0.573211 | − | 1.18993i | ||||
\(448\) | −19.7084 | + | 28.0571i | −0.931132 | + | 1.32557i | ||||
\(449\) | 11.2946i | 0.533026i | 0.963831 | + | 0.266513i | \(0.0858715\pi\) | ||||
−0.963831 | + | 0.266513i | \(0.914128\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −11.4797 | −0.540558 | ||||||||
\(452\) | 4.35551 | + | 3.87996i | 0.204866 | + | 0.182498i | ||||
\(453\) | −27.8487 | − | 13.4152i | −1.30845 | − | 0.630302i | ||||
\(454\) | 17.9304 | − | 8.04033i | 0.841514 | − | 0.377351i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 20.3281 | − | 21.5990i | 0.951951 | − | 1.01147i | ||||
\(457\) | 29.5067 | 1.38027 | 0.690133 | − | 0.723682i | \(-0.257552\pi\) | ||||
0.690133 | + | 0.723682i | \(0.257552\pi\) | |||||||
\(458\) | 0.301069 | − | 0.135005i | 0.0140680 | − | 0.00630838i | ||||
\(459\) | 1.34502 | + | 5.90240i | 0.0627803 | + | 0.275500i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 28.9508 | 1.34838 | 0.674188 | − | 0.738560i | \(-0.264494\pi\) | ||||
0.674188 | + | 0.738560i | \(0.264494\pi\) | |||||||
\(462\) | 25.6769 | + | 0.703111i | 1.19460 | + | 0.0327117i | ||||
\(463\) | 22.6025i | 1.05043i | 0.850971 | + | 0.525213i | \(0.176014\pi\) | ||||
−0.850971 | + | 0.525213i | \(0.823986\pi\) | |||||||
\(464\) | 0.337524 | + | 2.91288i | 0.0156691 | + | 0.135227i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −11.1258 | + | 4.98902i | −0.515392 | + | 0.231112i | ||||
\(467\) | 13.6141i | 0.629984i | 0.949094 | + | 0.314992i | \(0.102002\pi\) | ||||
−0.949094 | + | 0.314992i | \(0.897998\pi\) | |||||||
\(468\) | 0.891448 | − | 16.2651i | 0.0412072 | − | 0.751857i | ||||
\(469\) | 42.7576i | 1.97436i | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 36.2549 | + | 17.4646i | 1.67054 | + | 0.804728i | ||||
\(472\) | −1.39376 | + | 4.40896i | −0.0641532 | + | 0.202939i | ||||
\(473\) | 3.67836i | 0.169131i | ||||||||
\(474\) | 0.242167 | − | 8.84367i | 0.0111231 | − | 0.406203i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 6.64269 | − | 7.45684i | 0.304467 | − | 0.341784i | ||||
\(477\) | −1.88256 | − | 2.36178i | −0.0861967 | − | 0.108139i | ||||
\(478\) | 11.6359 | + | 25.9488i | 0.532215 | + | 1.18687i | ||||
\(479\) | 0.411425 | 0.0187985 | 0.00939924 | − | 0.999956i | \(-0.497008\pi\) | ||||
0.00939924 | + | 0.999956i | \(0.497008\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −3.71032 | −0.169176 | ||||||||
\(482\) | −5.27968 | − | 11.7740i | −0.240483 | − | 0.536290i | ||||
\(483\) | 50.5459 | + | 24.3488i | 2.29992 | + | 1.10791i | ||||
\(484\) | −6.66966 | + | 7.48712i | −0.303167 | + | 0.340324i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 5.50195 | − | 21.3478i | 0.249573 | − | 0.968356i | ||||
\(487\) | 32.2250i | 1.46025i | 0.683312 | + | 0.730126i | \(0.260539\pi\) | ||||
−0.683312 | + | 0.730126i | \(0.739461\pi\) | |||||||
\(488\) | 9.32134 | − | 29.4866i | 0.421957 | − | 1.33480i | ||||
\(489\) | 5.23895 | − | 10.8756i | 0.236913 | − | 0.491810i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 14.1605i | 0.639055i | 0.947577 | + | 0.319528i | \(0.103524\pi\) | ||||
−0.947577 | + | 0.319528i | \(0.896476\pi\) | |||||||
\(492\) | 15.0068 | − | 6.24175i | 0.676557 | − | 0.281400i | ||||
\(493\) | − | 0.854079i | − | 0.0384658i | ||||||
\(494\) | 21.2110 | − | 9.51142i | 0.954328 | − | 0.427939i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.86671 | + | 0.216301i | −0.0838176 | + | 0.00971219i | ||||
\(497\) | − | 49.8706i | − | 2.23700i | ||||||
\(498\) | 0.365483 | − | 13.3470i | 0.0163777 | − | 0.598095i | ||||
\(499\) | −14.6018 | −0.653665 | −0.326833 | − | 0.945082i | \(-0.605981\pi\) | ||||
−0.326833 | + | 0.945082i | \(0.605981\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −7.46834 | + | 15.5036i | −0.333661 | + | 0.692648i | ||||
\(502\) | −17.1708 | + | 7.69972i | −0.766371 | + | 0.343655i | ||||
\(503\) | 30.2823 | 1.35022 | 0.675112 | − | 0.737716i | \(-0.264095\pi\) | ||||
0.675112 | + | 0.737716i | \(0.264095\pi\) | |||||||
\(504\) | −33.9482 | + | 13.0419i | −1.51217 | + | 0.580932i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 23.8622 | − | 10.7003i | 1.06081 | − | 0.475686i | ||||
\(507\) | −4.23139 | + | 8.78397i | −0.187923 | + | 0.390110i | ||||
\(508\) | −4.38701 | − | 3.90802i | −0.194642 | − | 0.173391i | ||||
\(509\) | 8.84197 | 0.391913 | 0.195957 | − | 0.980613i | \(-0.437219\pi\) | ||||
0.195957 | + | 0.980613i | \(0.437219\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 41.2987i | 1.82695i | ||||||||
\(512\) | −13.7344 | − | 17.9824i | −0.606980 | − | 0.794717i | ||||
\(513\) | 30.6734 | − | 6.98979i | 1.35427 | − | 0.308607i | ||||
\(514\) | 38.9880 | − | 17.4830i | 1.71969 | − | 0.771142i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −2.00000 | − | 4.80851i | −0.0880451 | − | 0.211683i | ||||
\(517\) | − | 9.97804i | − | 0.438834i | ||||||
\(518\) | 3.38930 | + | 7.55832i | 0.148917 | + | 0.332094i | ||||
\(519\) | 6.02368 | − | 12.5046i | 0.264410 | − | 0.548890i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 38.6076i | 1.69143i | 0.533634 | + | 0.845716i | \(0.320826\pi\) | ||||
−0.533634 | + | 0.845716i | \(0.679174\pi\) | |||||||
\(522\) | −1.42601 | + | 2.76408i | −0.0624145 | + | 0.120981i | ||||
\(523\) | 13.8674 | 0.606381 | 0.303191 | − | 0.952930i | \(-0.401948\pi\) | ||||
0.303191 | + | 0.952930i | \(0.401948\pi\) | |||||||
\(524\) | −11.7628 | − | 10.4785i | −0.513860 | − | 0.457756i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 8.63841 | + | 19.2641i | 0.376653 | + | 0.839956i | ||||
\(527\) | 0.547333 | 0.0238422 | ||||||||
\(528\) | −5.54999 | + | 16.0171i | −0.241533 | + | 0.697056i | ||||
\(529\) | 34.1206 | 1.48350 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −3.83521 | + | 3.05702i | −0.166434 | + | 0.132663i | ||||
\(532\) | −38.7516 | − | 34.5206i | −1.68009 | − | 1.49666i | ||||
\(533\) | 12.7380 | 0.551746 | ||||||||
\(534\) | 0.520299 | − | 19.0007i | 0.0225155 | − | 0.822242i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −26.9050 | − | 8.50522i | −1.16212 | − | 0.367370i | ||||
\(537\) | 36.6734 | + | 17.6662i | 1.58258 | + | 0.762355i | ||||
\(538\) | 2.80674 | + | 6.25919i | 0.121007 | + | 0.269853i | ||||
\(539\) | − | 27.8169i | − | 1.19816i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 5.19654i | 0.223417i | 0.993741 | + | 0.111708i | \(0.0356323\pi\) | ||||
−0.993741 | + | 0.111708i | \(0.964368\pi\) | |||||||
\(542\) | 19.2016 | − | 8.61036i | 0.824778 | − | 0.369846i | ||||
\(543\) | 15.4797 | + | 7.45684i | 0.664298 | + | 0.320004i | ||||
\(544\) | 3.37083 | + | 5.66317i | 0.144523 | + | 0.242806i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −28.4914 | − | 0.780183i | −1.21932 | − | 0.0333887i | ||||
\(547\) | 13.1393 | 0.561796 | 0.280898 | − | 0.959738i | \(-0.409368\pi\) | ||||
0.280898 | + | 0.959738i | \(0.409368\pi\) | |||||||
\(548\) | −3.75337 | − | 3.34357i | −0.160336 | − | 0.142830i | ||||
\(549\) | 25.6494 | − | 20.4450i | 1.09469 | − | 0.872572i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −4.43846 | −0.189085 | ||||||||
\(552\) | −25.3758 | + | 26.9623i | −1.08007 | + | 1.14759i | ||||
\(553\) | −15.4797 | −0.658264 | ||||||||
\(554\) | −25.3995 | + | 11.3896i | −1.07912 | + | 0.483898i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −3.42526 | + | 3.84508i | −0.145264 | + | 0.163068i | ||||
\(557\) | −0.506781 | −0.0214730 | −0.0107365 | − | 0.999942i | \(-0.503418\pi\) | ||||
−0.0107365 | + | 0.999942i | \(0.503418\pi\) | |||||||
\(558\) | −1.77135 | − | 0.913850i | −0.0749872 | − | 0.0386864i | ||||
\(559\) | − | 4.08156i | − | 0.172632i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 2.14271 | − | 4.44807i | 0.0904654 | − | 0.187798i | ||||
\(562\) | 2.96584 | − | 1.32994i | 0.125106 | − | 0.0561001i | ||||
\(563\) | − | 13.0410i | − | 0.549612i | −0.961500 | − | 0.274806i | \(-0.911386\pi\) | ||
0.961500 | − | 0.274806i | \(-0.0886136\pi\) | |||||||
\(564\) | 5.42526 | + | 13.0437i | 0.228445 | + | 0.549240i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 12.5059 | + | 27.8888i | 0.525660 | + | 1.17225i | ||||
\(567\) | −37.6021 | − | 8.60079i | −1.57914 | − | 0.361199i | ||||
\(568\) | 31.3807 | + | 9.92011i | 1.31671 | + | 0.416239i | ||||
\(569\) | − | 30.7683i | − | 1.28988i | −0.764235 | − | 0.644938i | \(-0.776883\pi\) | ||
0.764235 | − | 0.644938i | \(-0.223117\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 27.6769 | 1.15824 | 0.579120 | − | 0.815242i | \(-0.303396\pi\) | ||||
0.579120 | + | 0.815242i | \(0.303396\pi\) | |||||||
\(572\) | −8.83701 | + | 9.92011i | −0.369494 | + | 0.414781i | ||||
\(573\) | −16.9028 | + | 35.0887i | −0.706126 | + | 1.46585i | ||||
\(574\) | −11.6359 | − | 25.9488i | −0.485674 | − | 1.08308i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −1.45365 | − | 23.9559i | −0.0605688 | − | 0.998164i | ||||
\(577\) | 33.4626 | 1.39307 | 0.696533 | − | 0.717525i | \(-0.254725\pi\) | ||||
0.696533 | + | 0.717525i | \(0.254725\pi\) | |||||||
\(578\) | 9.05159 | + | 20.1855i | 0.376496 | + | 0.839608i | ||||
\(579\) | −9.85889 | + | 20.4661i | −0.409721 | + | 0.850543i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −23.3623 | −0.969230 | ||||||||
\(582\) | 41.9089 | + | 1.14759i | 1.73718 | + | 0.0475693i | ||||
\(583\) | 2.46327i | 0.102018i | ||||||||
\(584\) | −25.9870 | − | 8.21503i | −1.07535 | − | 0.339940i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 3.47188 | + | 7.74248i | 0.143422 | + | 0.319839i | ||||
\(587\) | 28.7031i | 1.18471i | 0.805679 | + | 0.592353i | \(0.201801\pi\) | ||||
−0.805679 | + | 0.592353i | \(0.798199\pi\) | |||||||
\(588\) | 15.1246 | + | 36.3635i | 0.623729 | + | 1.49960i | ||||
\(589\) | − | 2.84437i | − | 0.117200i | ||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −18.2500 | + | 37.8853i | −0.750704 | + | 1.55839i | ||||
\(592\) | −5.43022 | + | 0.629215i | −0.223181 | + | 0.0258606i | ||||
\(593\) | 44.2574i | 1.81744i | 0.417411 | + | 0.908718i | \(0.362938\pi\) | ||||
−0.417411 | + | 0.908718i | \(0.637062\pi\) | |||||||
\(594\) | −14.3612 | + | 10.8179i | −0.589247 | + | 0.443862i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 21.4482 | − | 24.0770i | 0.878553 | − | 0.986231i | ||||
\(597\) | 2.83701 | + | 1.36664i | 0.116111 | + | 0.0559328i | ||||
\(598\) | −26.4779 | + | 11.8732i | −1.08276 | + | 0.485531i | ||||
\(599\) | 24.1359 | 0.986166 | 0.493083 | − | 0.869982i | \(-0.335870\pi\) | ||||
0.493083 | + | 0.869982i | \(0.335870\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 19.7669 | 0.806308 | 0.403154 | − | 0.915132i | \(-0.367914\pi\) | ||||
0.403154 | + | 0.915132i | \(0.367914\pi\) | |||||||
\(602\) | −8.31459 | + | 3.72842i | −0.338877 | + | 0.151959i | ||||
\(603\) | −18.6550 | − | 23.4037i | −0.759689 | − | 0.953074i | ||||
\(604\) | −26.6521 | − | 23.7422i | −1.08446 | − | 0.966056i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −13.1299 | − | 0.359537i | −0.533365 | − | 0.0146052i | ||||
\(607\) | 7.68877i | 0.312078i | 0.987751 | + | 0.156039i | \(0.0498725\pi\) | ||||
−0.987751 | + | 0.156039i | \(0.950127\pi\) | |||||||
\(608\) | 29.4302 | − | 17.5174i | 1.19355 | − | 0.710426i | ||||
\(609\) | 4.90284 | + | 2.36178i | 0.198673 | + | 0.0957043i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 11.0718i | 0.447916i | ||||||||
\(612\) | −0.382541 | + | 6.97974i | −0.0154633 | + | 0.282139i | ||||
\(613\) | − | 26.6091i | − | 1.07473i | −0.843349 | − | 0.537366i | \(-0.819419\pi\) | ||
0.843349 | − | 0.537366i | \(-0.180581\pi\) | |||||||
\(614\) | 2.88344 | + | 6.43024i | 0.116366 | + | 0.259503i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 28.2807 | + | 8.94014i | 1.13946 | + | 0.360208i | ||||
\(617\) | 25.0592i | 1.00885i | 0.863456 | + | 0.504423i | \(0.168295\pi\) | ||||
−0.863456 | + | 0.504423i | \(0.831705\pi\) | |||||||
\(618\) | 0.877747 | − | 32.0544i | 0.0353082 | − | 1.28942i | ||||
\(619\) | −20.1498 | −0.809889 | −0.404944 | − | 0.914341i | \(-0.632709\pi\) | ||||
−0.404944 | + | 0.914341i | \(0.632709\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −38.2900 | + | 8.72542i | −1.53652 | + | 0.350139i | ||||
\(622\) | −6.41638 | − | 14.3089i | −0.257273 | − | 0.573734i | ||||
\(623\) | −33.2583 | −1.33247 | ||||||||
\(624\) | 6.15836 | − | 17.7729i | 0.246532 | − | 0.711484i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −6.51460 | − | 14.5279i | −0.260376 | − | 0.580653i | ||||
\(627\) | −23.1156 | − | 11.1352i | −0.923149 | − | 0.444697i | ||||
\(628\) | 34.6971 | + | 30.9088i | 1.38457 | + | 1.23340i | ||||
\(629\) | 1.59218 | 0.0634845 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 27.8036i | − | 1.10684i | −0.832902 | − | 0.553421i | \(-0.813322\pi\) | ||
0.832902 | − | 0.553421i | \(-0.186678\pi\) | |||||||
\(632\) | 3.07918 | − | 9.74051i | 0.122483 | − | 0.387457i | ||||
\(633\) | −0.797690 | + | 1.65593i | −0.0317053 | + | 0.0658173i | ||||
\(634\) | 15.7455 | + | 35.1134i | 0.625336 | + | 1.39453i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −1.33933 | − | 3.22009i | −0.0531078 | − | 0.127685i | ||||
\(637\) | 30.8661i | 1.22296i | ||||||||
\(638\) | 2.31459 | − | 1.03791i | 0.0916354 | − | 0.0410911i | ||||
\(639\) | 21.7583 | + | 27.2971i | 0.860746 | + | 1.07986i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | − | 36.3093i | − | 1.43413i | −0.697006 | − | 0.717065i | \(-0.745485\pi\) | ||
0.697006 | − | 0.717065i | \(-0.254515\pi\) | |||||||
\(642\) | 0.591793 | − | 21.6116i | 0.0233562 | − | 0.852944i | ||||
\(643\) | −32.8571 | −1.29576 | −0.647878 | − | 0.761744i | \(-0.724344\pi\) | ||||
−0.647878 | + | 0.761744i | \(0.724344\pi\) | |||||||
\(644\) | 48.3740 | + | 43.0924i | 1.90620 | + | 1.69808i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −9.10212 | + | 4.08156i | −0.358118 | + | 0.160587i | ||||
\(647\) | −17.1329 | −0.673563 | −0.336781 | − | 0.941583i | \(-0.609338\pi\) | ||||
−0.336781 | + | 0.941583i | \(0.609338\pi\) | |||||||
\(648\) | 12.8917 | − | 21.9500i | 0.506434 | − | 0.862279i | ||||
\(649\) | 4.00000 | 0.157014 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −1.51354 | + | 3.14197i | −0.0593203 | + | 0.123143i | ||||
\(652\) | 9.27186 | − | 10.4083i | 0.363114 | − | 0.407619i | ||||
\(653\) | 27.7583 | 1.08627 | 0.543134 | − | 0.839646i | \(-0.317238\pi\) | ||||
0.543134 | + | 0.839646i | \(0.317238\pi\) | |||||||
\(654\) | −0.0523108 | + | 1.91033i | −0.00204551 | + | 0.0746999i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 18.6427 | − | 2.16018i | 0.727875 | − | 0.0843409i | ||||
\(657\) | −18.0185 | − | 22.6052i | −0.702968 | − | 0.881913i | ||||
\(658\) | 22.5544 | − | 10.1138i | 0.879263 | − | 0.394278i | ||||
\(659\) | − | 15.3389i | − | 0.597519i | −0.954328 | − | 0.298760i | \(-0.903427\pi\) | ||
0.954328 | − | 0.298760i | \(-0.0965729\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 38.9369i | 1.51447i | 0.653141 | + | 0.757236i | \(0.273451\pi\) | ||||
−0.653141 | + | 0.757236i | \(0.726549\pi\) | |||||||
\(662\) | −10.6005 | − | 23.6398i | −0.412002 | − | 0.918787i | ||||
\(663\) | −2.37759 | + | 4.93564i | −0.0923378 | + | 0.191685i | ||||
\(664\) | 4.64716 | − | 14.7006i | 0.180345 | − | 0.570492i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −5.15283 | − | 2.65837i | −0.199668 | − | 0.103010i | ||||
\(667\) | 5.54057 | 0.214532 | ||||||||
\(668\) | −13.2174 | + | 14.8374i | −0.511398 | + | 0.574076i | ||||
\(669\) | 8.15407 | + | 3.92796i | 0.315255 | + | 0.151864i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −26.7516 | −1.03273 | ||||||||
\(672\) | −41.8307 | + | 3.68989i | −1.61366 | + | 0.142340i | ||||
\(673\) | 6.78966 | 0.261722 | 0.130861 | − | 0.991401i | \(-0.458226\pi\) | ||||
0.130861 | + | 0.991401i | \(0.458226\pi\) | |||||||
\(674\) | −1.47401 | − | 3.28711i | −0.0567766 | − | 0.126615i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −7.48869 | + | 8.40653i | −0.288027 | + | 0.323328i | ||||
\(677\) | 40.6772 | 1.56335 | 0.781675 | − | 0.623685i | \(-0.214365\pi\) | ||||
0.781675 | + | 0.623685i | \(0.214365\pi\) | |||||||
\(678\) | −0.195552 | + | 7.14133i | −0.00751011 | + | 0.274261i | ||||
\(679\) | − | 73.3561i | − | 2.81515i | ||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 21.6824 | + | 10.4448i | 0.830870 | + | 0.400245i | ||||
\(682\) | 0.665138 | + | 1.48329i | 0.0254694 | + | 0.0567983i | ||||
\(683\) | − | 8.14204i | − | 0.311546i | −0.987793 | − | 0.155773i | \(-0.950213\pi\) | ||
0.987793 | − | 0.155773i | \(-0.0497869\pi\) | |||||||
\(684\) | 36.2722 | + | 1.98798i | 1.38690 | + | 0.0760123i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 24.1633 | − | 10.8353i | 0.922559 | − | 0.413694i | ||||
\(687\) | 0.364069 | + | 0.175378i | 0.0138901 | + | 0.00669110i | ||||
\(688\) | −0.692172 | − | 5.97355i | −0.0263888 | − | 0.227739i | ||||
\(689\) | − | 2.73328i | − | 0.104130i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −2.10179 | −0.0799560 | −0.0399780 | − | 0.999201i | \(-0.512729\pi\) | ||||
−0.0399780 | + | 0.999201i | \(0.512729\pi\) | |||||||
\(692\) | 10.6607 | − | 11.9673i | 0.405258 | − | 0.454928i | ||||
\(693\) | 19.6089 | + | 24.6005i | 0.744880 | + | 0.934495i | ||||
\(694\) | −37.9030 | + | 16.9964i | −1.43878 | + | 0.645176i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −2.46140 | + | 2.61528i | −0.0932990 | + | 0.0991320i | ||||
\(697\) | −5.46618 | −0.207046 | ||||||||
\(698\) | 30.3416 | − | 13.6058i | 1.14845 | − | 0.514986i | ||||
\(699\) | −13.4539 | − | 6.48098i | −0.508873 | − | 0.245133i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −20.0135 | −0.755900 | −0.377950 | − | 0.925826i | \(-0.623371\pi\) | ||||
−0.377950 | + | 0.925826i | \(0.623371\pi\) | |||||||
\(702\) | 15.9354 | − | 12.0037i | 0.601443 | − | 0.453049i | ||||
\(703\) | − | 8.27422i | − | 0.312068i | ||||||
\(704\) | −11.2511 | + | 16.0171i | −0.424040 | + | 0.603669i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 40.0902 | − | 17.9772i | 1.50881 | − | 0.676581i | ||||
\(707\) | 22.9822i | 0.864334i | ||||||||
\(708\) | −5.22897 | + | 2.17488i | −0.196517 | + | 0.0817370i | ||||
\(709\) | 15.3500i | 0.576480i | 0.957558 | + | 0.288240i | \(0.0930701\pi\) | ||||
−0.957558 | + | 0.288240i | \(0.906930\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 8.47294 | − | 6.75373i | 0.317760 | − | 0.253285i | ||||
\(712\) | 6.61566 | − | 20.9276i | 0.247932 | − | 0.784295i | ||||
\(713\) | 3.55066i | 0.132973i | ||||||||
\(714\) | 12.2263 | + | 0.334794i | 0.457558 | + | 0.0125294i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 35.0977 | + | 31.2656i | 1.31166 | + | 1.16845i | ||||
\(717\) | −15.1156 | + | 31.3786i | −0.564504 | + | 1.17186i | ||||
\(718\) | −6.59533 | − | 14.7080i | −0.246136 | − | 0.548896i | ||||
\(719\) | 5.77864 | 0.215507 | 0.107754 | − | 0.994178i | \(-0.465634\pi\) | ||||
0.107754 | + | 0.994178i | \(0.465634\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −56.1070 | −2.08953 | ||||||||
\(722\) | 10.2167 | + | 22.7838i | 0.380226 | + | 0.847926i | ||||
\(723\) | 6.85856 | − | 14.2377i | 0.255073 | − | 0.529507i | ||||
\(724\) | 14.8146 | + | 13.1971i | 0.550579 | + | 0.490466i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −12.2760 | − | 0.336154i | −0.455604 | − | 0.0124758i | ||||
\(727\) | − | 25.0657i | − | 0.929636i | −0.885406 | − | 0.464818i | \(-0.846120\pi\) | ||
0.885406 | − | 0.464818i | \(-0.153880\pi\) | |||||||
\(728\) | −31.3807 | − | 9.92011i | −1.16305 | − | 0.367664i | ||||
\(729\) | 24.3343 | − | 11.6979i | 0.901271 | − | 0.433257i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 1.75149i | 0.0647813i | ||||||||
\(732\) | 34.9708 | − | 14.5454i | 1.29256 | − | 0.537612i | ||||
\(733\) | − | 14.9596i | − | 0.552546i | −0.961079 | − | 0.276273i | \(-0.910901\pi\) | ||
0.961079 | − | 0.276273i | \(-0.0890994\pi\) | |||||||
\(734\) | 27.1256 | − | 12.1636i | 1.00122 | − | 0.448968i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −36.7380 | + | 21.8672i | −1.35418 | + | 0.806036i | ||||
\(737\) | 24.4094i | 0.899130i | ||||||||
\(738\) | 17.6904 | + | 9.12656i | 0.651191 | + | 0.335953i | ||||
\(739\) | 9.76476 | 0.359202 | 0.179601 | − | 0.983739i | \(-0.442519\pi\) | ||||
0.179601 | + | 0.983739i | \(0.442519\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 25.6494 | + | 12.3558i | 0.942256 | + | 0.453901i | ||||
\(742\) | −5.56798 | + | 2.49679i | −0.204407 | + | 0.0916600i | ||||
\(743\) | 13.6457 | 0.500613 | 0.250307 | − | 0.968167i | \(-0.419469\pi\) | ||||
0.250307 | + | 0.968167i | \(0.419469\pi\) | |||||||
\(744\) | −1.67599 | − | 1.57738i | −0.0614449 | − | 0.0578294i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −13.3521 | + | 5.98734i | −0.488855 | + | 0.219212i | ||||
\(747\) | 12.7875 | − | 10.1929i | 0.467871 | − | 0.372937i | ||||
\(748\) | 3.79216 | − | 4.25694i | 0.138655 | − | 0.155649i | ||||
\(749\) | −37.8284 | −1.38222 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 36.7841i | − | 1.34227i | −0.741335 | − | 0.671135i | \(-0.765807\pi\) | ||
0.741335 | − | 0.671135i | \(-0.234193\pi\) | |||||||
\(752\) | 1.87761 | + | 16.2040i | 0.0684693 | + | 0.590901i | ||||
\(753\) | −20.7639 | − | 10.0023i | −0.756677 | − | 0.364504i | ||||
\(754\) | −2.56830 | + | 1.15168i | −0.0935319 | + | 0.0419415i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −39.0094 | − | 21.4971i | −1.41876 | − | 0.781840i | ||||
\(757\) | − | 10.1994i | − | 0.370702i | −0.982672 | − | 0.185351i | \(-0.940658\pi\) | ||
0.982672 | − | 0.185351i | \(-0.0593422\pi\) | |||||||
\(758\) | −10.1461 | − | 22.6263i | −0.368522 | − | 0.821824i | ||||
\(759\) | 28.8555 | + | 13.9002i | 1.04739 | + | 0.504545i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 28.0668i | 1.01742i | 0.860938 | + | 0.508710i | \(0.169877\pi\) | ||||
−0.860938 | + | 0.508710i | \(0.830123\pi\) | |||||||
\(762\) | 0.196966 | − | 7.19298i | 0.00713532 | − | 0.260574i | ||||
\(763\) | 3.34379 | 0.121053 | ||||||||
\(764\) | −29.9146 | + | 33.5810i | −1.08227 | + | 1.21492i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −14.3124 | − | 31.9175i | −0.517129 | − | 1.15323i | ||||
\(767\) | −4.43846 | −0.160263 | ||||||||
\(768\) | 5.99901 | − | 27.0557i | 0.216471 | − | 0.976289i | ||||
\(769\) | 16.3302 | 0.588883 | 0.294442 | − | 0.955669i | \(-0.404866\pi\) | ||||
0.294442 | + | 0.955669i | \(0.404866\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 47.1464 | + | 22.7112i | 1.69794 | + | 0.817925i | ||||
\(772\) | −17.4482 | + | 19.5867i | −0.627975 | + | 0.704941i | ||||
\(773\) | −42.5099 | −1.52897 | −0.764487 | − | 0.644639i | \(-0.777008\pi\) | ||||
−0.764487 | + | 0.644639i | \(0.777008\pi\) | |||||||
\(774\) | 2.92436 | − | 5.66840i | 0.105114 | − | 0.203747i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 46.1588 | + | 14.5918i | 1.65701 | + | 0.523814i | ||||
\(777\) | −4.40286 | + | 9.13993i | −0.157952 | + | 0.327893i | ||||
\(778\) | 14.0213 | + | 31.2684i | 0.502689 | + | 1.12103i | ||||
\(779\) | 28.4065i | 1.01777i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | − | 28.4700i | − | 1.01874i | ||||||
\(782\) | 11.3623 | − | 5.09506i | 0.406314 | − | 0.182199i | ||||
\(783\) | −3.71405 | + | 0.846347i | −0.132729 | + | 0.0302460i | ||||
\(784\) | 5.23442 | + | 45.1738i | 0.186944 | + | 1.61335i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0.528120 | − | 19.2864i | 0.0188374 | − | 0.687922i | ||||
\(787\) | −27.9997 | −0.998083 | −0.499042 | − | 0.866578i | \(-0.666315\pi\) | ||||
−0.499042 | + | 0.866578i | \(0.666315\pi\) | |||||||
\(788\) | −32.2987 | + | 36.2574i | −1.15059 | + | 1.29162i | ||||
\(789\) | −11.2217 | + | 23.2952i | −0.399503 | + | 0.829331i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 12.5000 | 0.444448 | ||||||||
\(792\) | −19.3802 | + | 7.44532i | −0.688647 | + | 0.264558i | ||||
\(793\) | 29.6839 | 1.05411 | ||||||||
\(794\) | −28.2414 | + | 12.6640i | −1.00225 | + | 0.449429i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 2.71511 | + | 2.41867i | 0.0962345 | + | 0.0857274i | ||||
\(797\) | −1.92561 | −0.0682086 | −0.0341043 | − | 0.999418i | \(-0.510858\pi\) | ||||
−0.0341043 | + | 0.999418i | \(0.510858\pi\) | |||||||
\(798\) | 1.73985 | − | 63.5374i | 0.0615900 | − | 2.24920i | ||||
\(799\) | − | 4.75115i | − | 0.168084i | ||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 18.2042 | − | 14.5105i | 0.643215 | − | 0.512703i | ||||
\(802\) | 27.6359 | − | 12.3925i | 0.975859 | − | 0.437594i | ||||
\(803\) | 23.5765i | 0.831997i | ||||||||
\(804\) | −13.2719 | − | 31.9090i | −0.468063 | − | 1.12534i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −0.738047 | − | 1.64588i | −0.0259966 | − | 0.0579738i | ||||
\(807\) | −3.64609 | + | 7.56894i | −0.128349 | + | 0.266439i | ||||
\(808\) | −14.4614 | − | 4.57155i | −0.508750 | − | 0.160827i | ||||
\(809\) | 30.3334i | 1.06647i | 0.845968 | + | 0.533233i | \(0.179023\pi\) | ||||
−0.845968 | + | 0.533233i | \(0.820977\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 7.56798 | 0.265748 | 0.132874 | − | 0.991133i | \(-0.457579\pi\) | ||||
0.132874 | + | 0.991133i | \(0.457579\pi\) | |||||||
\(812\) | 4.69217 | + | 4.17987i | 0.164663 | + | 0.146685i | ||||
\(813\) | 23.2196 | + | 11.1853i | 0.814345 | + | 0.392284i | ||||
\(814\) | 1.93487 | + | 4.31488i | 0.0678173 | + | 0.151236i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −2.64269 | + | 7.62673i | −0.0925127 | + | 0.266989i | ||||
\(817\) | 9.10212 | 0.318443 | ||||||||
\(818\) | −12.4672 | − | 27.8027i | −0.435907 | − | 0.972097i | ||||
\(819\) | −21.7583 | − | 27.2971i | −0.760297 | − | 0.953836i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 28.8505 | 1.00689 | 0.503445 | − | 0.864027i | \(-0.332066\pi\) | ||||
0.503445 | + | 0.864027i | \(0.332066\pi\) | |||||||
\(822\) | 0.168517 | − | 6.15406i | 0.00587771 | − | 0.214647i | ||||
\(823\) | − | 15.3789i | − | 0.536076i | −0.963408 | − | 0.268038i | \(-0.913625\pi\) | ||
0.963408 | − | 0.268038i | \(-0.0863752\pi\) | |||||||
\(824\) | 11.1606 | − | 35.3050i | 0.388800 | − | 1.22991i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 4.05444 | + | 9.04162i | 0.141072 | + | 0.314598i | ||||
\(827\) | − | 48.0070i | − | 1.66937i | −0.550731 | − | 0.834683i | \(-0.685651\pi\) | ||
0.550731 | − | 0.834683i | \(-0.314349\pi\) | |||||||
\(828\) | −45.2789 | − | 2.48161i | −1.57355 | − | 0.0862421i | ||||
\(829\) | − | 19.0600i | − | 0.661982i | −0.943634 | − | 0.330991i | \(-0.892617\pi\) | ||
0.943634 | − | 0.330991i | \(-0.107383\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −30.7144 | − | 14.7956i | −1.06547 | − | 0.513255i | ||||
\(832\) | 12.4843 | − | 17.7729i | 0.432816 | − | 0.616163i | ||||
\(833\) | − | 13.2453i | − | 0.458923i | ||||||
\(834\) | −6.30443 | − | 0.172635i | −0.218304 | − | 0.00597785i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −22.1224 | − | 19.7070i | −0.765119 | − | 0.681582i | ||||
\(837\) | −0.542379 | − | 2.38013i | −0.0187473 | − | 0.0822694i | ||||
\(838\) | −18.9107 | + | 8.47991i | −0.653258 | + | 0.292934i | ||||
\(839\) | −56.8469 | −1.96257 | −0.981287 | − | 0.192552i | \(-0.938324\pi\) | ||||
−0.981287 | + | 0.192552i | \(0.938324\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −28.4626 | −0.981468 | ||||||||
\(842\) | 24.6427 | − | 11.0503i | 0.849243 | − | 0.380817i | ||||
\(843\) | 3.58645 | + | 1.72766i | 0.123524 | + | 0.0595036i | ||||
\(844\) | −1.41175 | + | 1.58478i | −0.0485943 | + | 0.0545502i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −7.93272 | + | 15.3763i | −0.272733 | + | 0.528648i | ||||
\(847\) | 21.4875i | 0.738319i | ||||||||
\(848\) | −0.463523 | − | 4.00027i | −0.0159174 | − | 0.137370i | ||||
\(849\) | −16.2457 | + | 33.7246i | −0.557551 | + | 1.15742i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 10.3288i | 0.354067i | ||||||||
\(852\) | 15.4797 | + | 37.2172i | 0.530326 | + | 1.27504i | ||||
\(853\) | − | 29.3057i | − | 1.00341i | −0.865039 | − | 0.501704i | \(-0.832707\pi\) | ||
0.865039 | − | 0.501704i | \(-0.167293\pi\) | |||||||
\(854\) | −27.1156 | − | 60.4694i | −0.927878 | − | 2.06922i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 7.52472 | − | 23.8033i | 0.257190 | − | 0.813580i | ||||
\(857\) | 30.9833i | 1.05837i | 0.848507 | + | 0.529185i | \(0.177502\pi\) | ||||
−0.848507 | + | 0.529185i | \(0.822498\pi\) | |||||||
\(858\) | −16.2651 | − | 0.445389i | −0.555281 | − | 0.0152053i | ||||
\(859\) | −1.13559 | −0.0387457 | −0.0193729 | − | 0.999812i | \(-0.506167\pi\) | ||||
−0.0193729 | + | 0.999812i | \(0.506167\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 15.1156 | − | 31.3786i | 0.515139 | − | 1.06938i | ||||
\(862\) | −16.1174 | − | 35.9428i | −0.548962 | − | 1.22422i | ||||
\(863\) | −12.8678 | −0.438024 | −0.219012 | − | 0.975722i | \(-0.570283\pi\) | ||||
−0.219012 | + | 0.975722i | \(0.570283\pi\) | |||||||
\(864\) | 21.2865 | − | 20.2703i | 0.724182 | − | 0.689609i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −13.9309 | − | 31.0668i | −0.473393 | − | 1.05569i | ||||
\(867\) | −11.7584 | + | 24.4094i | −0.399338 | + | 0.828988i | ||||
\(868\) | −2.67866 | + | 3.00696i | −0.0909195 | + | 0.102063i | ||||
\(869\) | −8.83701 | −0.299775 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − | 27.0850i | − | 0.917740i | ||||||
\(872\) | −0.665138 | + | 2.10406i | −0.0225244 | + | 0.0712525i | ||||
\(873\) | 32.0050 | + | 40.1520i | 1.08320 | + | 1.35894i | ||||
\(874\) | −26.4779 | − | 59.0472i | −0.895628 | − | 1.99730i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −12.8190 | − | 30.8202i | −0.433115 | − | 1.04132i | ||||
\(877\) | − | 35.8017i | − | 1.20894i | −0.796629 | − | 0.604469i | \(-0.793385\pi\) | ||
0.796629 | − | 0.604469i | \(-0.206615\pi\) | |||||||
\(878\) | −31.7763 | + | 14.2491i | −1.07240 | + | 0.480884i | ||||
\(879\) | −4.51014 | + | 9.36262i | −0.152123 | + | 0.315793i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 26.0081i | − | 0.876234i | −0.898918 | − | 0.438117i | \(-0.855646\pi\) | ||
0.898918 | − | 0.438117i | \(-0.144354\pi\) | |||||||
\(882\) | −22.1149 | + | 42.8662i | −0.744649 | + | 1.44338i | ||||
\(883\) | −41.3226 | −1.39062 | −0.695308 | − | 0.718712i | \(-0.744732\pi\) | ||||
−0.695308 | + | 0.718712i | \(0.744732\pi\) | |||||||
\(884\) | −4.20784 | + | 4.72357i | −0.141525 | + | 0.158871i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 9.82151 | − | 4.40415i | 0.329960 | − | 0.147960i | ||||
\(887\) | −14.9286 | −0.501255 | −0.250627 | − | 0.968084i | \(-0.580637\pi\) | ||||
−0.250627 | + | 0.968084i | \(0.580637\pi\) | |||||||
\(888\) | −4.87544 | − | 4.58856i | −0.163609 | − | 0.153982i | ||||
\(889\) | −12.5904 | −0.422268 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −21.4662 | − | 4.90999i | −0.719144 | − | 0.164491i | ||||
\(892\) | 7.80371 | + | 6.95168i | 0.261287 | + | 0.232760i | ||||
\(893\) | −24.6907 | −0.826242 | ||||||||
\(894\) | 39.4768 | + | 1.08100i | 1.32030 | + | 0.0361540i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −47.6094 | − | 9.19681i | −1.59052 | − | 0.307244i | ||||
\(897\) | −32.0185 | − | 15.4239i | −1.06907 | − | 0.514988i | ||||
\(898\) | −14.5747 | + | 6.53559i | −0.486365 | + | 0.218096i | ||||
\(899\) | 0.344406i | 0.0114866i | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 1.17291i | 0.0390753i | ||||||||
\(902\) | −6.64269 | − | 14.8136i | −0.221177 | − | 0.493238i | ||||
\(903\) | −10.0544 | − | 4.84340i | −0.334591 | − | 0.161178i | ||||
\(904\) | −2.48646 | + | 7.86553i | −0.0826984 | + | 0.261604i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 1.19661 | − | 43.6991i | 0.0397549 | − | 1.45180i | ||||
\(907\) | 39.4794 | 1.31089 | 0.655447 | − | 0.755241i | \(-0.272480\pi\) | ||||
0.655447 | + | 0.755241i | \(0.272480\pi\) | |||||||
\(908\) | 20.7507 | + | 18.4851i | 0.688636 | + | 0.613450i | ||||
\(909\) | −10.0270 | − | 12.5795i | −0.332576 | − | 0.417235i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 47.8266 | 1.58457 | 0.792284 | − | 0.610153i | \(-0.208892\pi\) | ||||
0.792284 | + | 0.610153i | \(0.208892\pi\) | |||||||
\(912\) | 39.6344 | + | 13.7335i | 1.31243 | + | 0.454761i | ||||
\(913\) | −13.3370 | −0.441390 | ||||||||
\(914\) | 17.0740 | + | 38.0759i | 0.564757 | + | 1.25944i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0.348425 | + | 0.310383i | 0.0115123 | + | 0.0102554i | ||||
\(917\) | −33.7583 | −1.11480 | ||||||||
\(918\) | −6.83824 | + | 5.15104i | −0.225696 | + | 0.170010i | ||||
\(919\) | 30.2025i | 0.996290i | 0.867094 | + | 0.498145i | \(0.165985\pi\) | ||||
−0.867094 | + | 0.498145i | \(0.834015\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −3.74573 | + | 7.77578i | −0.123426 | + | 0.256221i | ||||
\(922\) | 16.7523 | + | 37.3586i | 0.551708 | + | 1.23034i | ||||
\(923\) | 31.5907i | 1.03982i | ||||||||
\(924\) | 13.9505 | + | 33.5406i | 0.458938 | + | 1.10341i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −29.1665 | + | 13.0788i | −0.958472 | + | 0.429797i | ||||
\(927\) | 30.7106 | − | 24.4793i | 1.00867 | − | 0.804005i | ||||
\(928\) | −3.56351 | + | 2.12107i | −0.116978 | + | 0.0696276i | ||||
\(929\) | 2.81266i | 0.0922804i | 0.998935 | + | 0.0461402i | \(0.0146921\pi\) | ||||
−0.998935 | + | 0.0461402i | \(0.985308\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −68.8330 | −2.25591 | ||||||||
\(932\) | −12.8758 | − | 11.4700i | −0.421761 | − | 0.375712i | ||||
\(933\) | 8.33518 | − | 17.3031i | 0.272882 | − | 0.566477i | ||||
\(934\) | −17.5678 | + | 7.87774i | −0.574836 | + | 0.257767i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 21.5046 | − | 8.26144i | 0.702900 | − | 0.270033i | ||||
\(937\) | 20.7171 | 0.676798 | 0.338399 | − | 0.941003i | \(-0.390115\pi\) | ||||
0.338399 | + | 0.941003i | \(0.390115\pi\) | |||||||
\(938\) | −55.1750 | + | 24.7415i | −1.80153 | + | 0.807840i | ||||
\(939\) | 8.46278 | − | 17.5679i | 0.276172 | − | 0.573308i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −41.0867 | −1.33939 | −0.669695 | − | 0.742636i | \(-0.733575\pi\) | ||||
−0.669695 | + | 0.742636i | \(0.733575\pi\) | |||||||
\(942\) | −1.55782 | + | 56.8897i | −0.0507564 | + | 1.85357i | ||||
\(943\) | − | 35.4602i | − | 1.15474i | ||||||
\(944\) | −6.49588 | + | 0.752696i | −0.211423 | + | 0.0244982i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −4.74661 | + | 2.12847i | −0.154326 | + | 0.0692026i | ||||
\(947\) | − | 12.3990i | − | 0.402913i | −0.979497 | − | 0.201456i | \(-0.935433\pi\) | ||
0.979497 | − | 0.201456i | \(-0.0645674\pi\) | |||||||
\(948\) | 11.5521 | − | 4.80486i | 0.375195 | − | 0.156055i | ||||
\(949\) | − | 26.1608i | − | 0.849217i | ||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −20.4542 | + | 42.4610i | −0.663274 | + | 1.37689i | ||||
\(952\) | 13.4662 | + | 4.25694i | 0.436442 | + | 0.137968i | ||||
\(953\) | − | 24.4649i | − | 0.792496i | −0.918144 | − | 0.396248i | \(-0.870312\pi\) | ||
0.918144 | − | 0.396248i | \(-0.129688\pi\) | |||||||
\(954\) | 1.95834 | − | 3.79592i | 0.0634036 | − | 0.122898i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −26.7516 | + | 30.0303i | −0.865207 | + | 0.971250i | ||||
\(957\) | 2.79892 | + | 1.34829i | 0.0904762 | + | 0.0435840i | ||||
\(958\) | 0.238070 | + | 0.530908i | 0.00769168 | + | 0.0171529i | ||||
\(959\) | −10.7719 | −0.347842 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 30.7793 | 0.992880 | ||||||||
\(962\) | −2.14697 | − | 4.78785i | −0.0692209 | − | 0.154367i | ||||
\(963\) | 20.7057 | − | 16.5044i | 0.667232 | − | 0.531846i | ||||
\(964\) | 12.1382 | − | 13.6260i | 0.390947 | − | 0.438863i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −2.17187 | + | 79.3144i | −0.0698789 | + | 2.55190i | ||||
\(967\) | 3.64391i | 0.117180i | 0.998282 | + | 0.0585901i | \(0.0186605\pi\) | ||||
−0.998282 | + | 0.0585901i | \(0.981340\pi\) | |||||||
\(968\) | −13.5209 | − | 4.27423i | −0.434577 | − | 0.137379i | ||||
\(969\) | −11.0068 | − | 5.30215i | −0.353588 | − | 0.170330i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | − | 27.1170i | − | 0.870225i | −0.900376 | − | 0.435113i | \(-0.856709\pi\) | ||
0.900376 | − | 0.435113i | \(-0.143291\pi\) | |||||||
\(972\) | 30.7312 | − | 5.25304i | 0.985703 | − | 0.168491i | ||||
\(973\) | 11.0351i | 0.353769i | ||||||||
\(974\) | −41.5836 | + | 18.6469i | −1.33242 | + | 0.597484i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 43.4437 | − | 5.03395i | 1.39060 | − | 0.161133i | ||||
\(977\) | − | 41.8998i | − | 1.34049i | −0.742139 | − | 0.670246i | \(-0.766188\pi\) | ||
0.742139 | − | 0.670246i | \(-0.233812\pi\) | |||||||
\(978\) | 17.0655 | + | 0.467305i | 0.545694 | + | 0.0149428i | ||||
\(979\) | −18.9864 | −0.606809 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −1.83025 | + | 1.45888i | −0.0584355 | + | 0.0465786i | ||||
\(982\) | −18.2729 | + | 8.19393i | −0.583112 | + | 0.261479i | ||||
\(983\) | −0.734322 | −0.0234212 | −0.0117106 | − | 0.999931i | \(-0.503728\pi\) | ||||
−0.0117106 | + | 0.999931i | \(0.503728\pi\) | |||||||
\(984\) | 16.7380 | + | 15.7532i | 0.533589 | + | 0.502193i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 1.10212 | − | 0.494210i | 0.0350985 | − | 0.0157388i | ||||
\(987\) | 27.2740 | + | 13.1384i | 0.868141 | + | 0.418199i | ||||
\(988\) | 24.5473 | + | 21.8672i | 0.780955 | + | 0.695689i | ||||
\(989\) | −11.3623 | −0.361299 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 25.5433i | 0.811408i | 0.914004 | + | 0.405704i | \(0.132974\pi\) | ||||
−0.914004 | + | 0.405704i | \(0.867026\pi\) | |||||||
\(992\) | −1.35928 | − | 2.28366i | −0.0431572 | − | 0.0725064i | ||||
\(993\) | 13.7706 | − | 28.5865i | 0.436997 | − | 0.907165i | ||||
\(994\) | 64.3537 | − | 28.8574i | 2.04117 | − | 0.915302i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 17.4347 | − | 7.25159i | 0.552439 | − | 0.229775i | ||||
\(997\) | − | 23.4092i | − | 0.741378i | −0.928757 | − | 0.370689i | \(-0.879122\pi\) | ||
0.928757 | − | 0.370689i | \(-0.120878\pi\) | |||||||
\(998\) | −8.44926 | − | 18.8423i | −0.267457 | − | 0.596443i | ||||
\(999\) | −1.57777 | − | 6.92377i | −0.0499184 | − | 0.219058i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))