Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(43,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.u (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{6} - x^{3} + 1 \)
|
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 169.1 | ||
Root | \(0.939693 - 0.342020i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 378.169 |
Dual form | 378.2.u.a.85.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.939693 | + | 0.342020i | −0.664463 | + | 0.241845i | ||||
\(3\) | 0.592396 | + | 1.62760i | 0.342020 | + | 0.939693i | ||||
\(4\) | 0.766044 | − | 0.642788i | 0.383022 | − | 0.321394i | ||||
\(5\) | 0.152704 | + | 0.866025i | 0.0682911 | + | 0.387298i | 0.999726 | + | 0.0233912i | \(0.00744633\pi\) |
−0.931435 | + | 0.363907i | \(0.881443\pi\) | |||||||
\(6\) | −1.11334 | − | 1.32683i | −0.454519 | − | 0.541675i | ||||
\(7\) | 0.766044 | + | 0.642788i | 0.289538 | + | 0.242951i | ||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | −2.29813 | + | 1.92836i | −0.766044 | + | 0.642788i | ||||
\(10\) | −0.439693 | − | 0.761570i | −0.139043 | − | 0.240830i | ||||
\(11\) | −0.358441 | + | 2.03282i | −0.108074 | + | 0.612918i | 0.881874 | + | 0.471485i | \(0.156282\pi\) |
−0.989948 | + | 0.141433i | \(0.954829\pi\) | |||||||
\(12\) | 1.50000 | + | 0.866025i | 0.433013 | + | 0.250000i | ||||
\(13\) | −0.326352 | − | 0.118782i | −0.0905137 | − | 0.0329443i | 0.296366 | − | 0.955074i | \(-0.404225\pi\) |
−0.386880 | + | 0.922130i | \(0.626447\pi\) | |||||||
\(14\) | −0.939693 | − | 0.342020i | −0.251143 | − | 0.0914087i | ||||
\(15\) | −1.31908 | + | 0.761570i | −0.340584 | + | 0.196637i | ||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | 1.70574 | + | 2.95442i | 0.413702 | + | 0.716553i | 0.995291 | − | 0.0969297i | \(-0.0309022\pi\) |
−0.581589 | + | 0.813483i | \(0.697569\pi\) | |||||||
\(18\) | 1.50000 | − | 2.59808i | 0.353553 | − | 0.612372i | ||||
\(19\) | 1.02094 | − | 1.76833i | 0.234221 | − | 0.405682i | −0.724825 | − | 0.688933i | \(-0.758079\pi\) |
0.959046 | + | 0.283251i | \(0.0914128\pi\) | |||||||
\(20\) | 0.673648 | + | 0.565258i | 0.150632 | + | 0.126396i | ||||
\(21\) | −0.592396 | + | 1.62760i | −0.129271 | + | 0.355170i | ||||
\(22\) | −0.358441 | − | 2.03282i | −0.0764198 | − | 0.433398i | ||||
\(23\) | −4.36231 | + | 3.66041i | −0.909605 | + | 0.763249i | −0.972044 | − | 0.234800i | \(-0.924557\pi\) |
0.0624390 | + | 0.998049i | \(0.480112\pi\) | |||||||
\(24\) | −1.70574 | − | 0.300767i | −0.348182 | − | 0.0613939i | ||||
\(25\) | 3.97178 | − | 1.44561i | 0.794356 | − | 0.289122i | ||||
\(26\) | 0.347296 | 0.0681104 | ||||||||
\(27\) | −4.50000 | − | 2.59808i | −0.866025 | − | 0.500000i | ||||
\(28\) | 1.00000 | 0.188982 | ||||||||
\(29\) | −1.78699 | + | 0.650411i | −0.331836 | + | 0.120778i | −0.502564 | − | 0.864540i | \(-0.667610\pi\) |
0.170729 | + | 0.985318i | \(0.445388\pi\) | |||||||
\(30\) | 0.979055 | − | 1.16679i | 0.178750 | − | 0.213026i | ||||
\(31\) | −2.03209 | + | 1.70513i | −0.364974 | + | 0.306249i | −0.806770 | − | 0.590866i | \(-0.798786\pi\) |
0.441796 | + | 0.897116i | \(0.354342\pi\) | |||||||
\(32\) | 0.173648 | + | 0.984808i | 0.0306970 | + | 0.174091i | ||||
\(33\) | −3.52094 | + | 0.620838i | −0.612918 | + | 0.108074i | ||||
\(34\) | −2.61334 | − | 2.19285i | −0.448184 | − | 0.376071i | ||||
\(35\) | −0.439693 | + | 0.761570i | −0.0743216 | + | 0.128729i | ||||
\(36\) | −0.520945 | + | 2.95442i | −0.0868241 | + | 0.492404i | ||||
\(37\) | −0.226682 | − | 0.392624i | −0.0372662 | − | 0.0645470i | 0.846791 | − | 0.531926i | \(-0.178532\pi\) |
−0.884057 | + | 0.467379i | \(0.845198\pi\) | |||||||
\(38\) | −0.354570 | + | 2.01087i | −0.0575189 | + | 0.326206i | ||||
\(39\) | − | 0.601535i | − | 0.0963227i | ||||||
\(40\) | −0.826352 | − | 0.300767i | −0.130658 | − | 0.0475555i | ||||
\(41\) | −5.06418 | − | 1.84321i | −0.790892 | − | 0.287861i | −0.0851850 | − | 0.996365i | \(-0.527148\pi\) |
−0.705707 | + | 0.708504i | \(0.749370\pi\) | |||||||
\(42\) | − | 1.73205i | − | 0.267261i | ||||||
\(43\) | −0.336152 | + | 1.90641i | −0.0512627 | + | 0.290725i | −0.999652 | − | 0.0263835i | \(-0.991601\pi\) |
0.948389 | + | 0.317109i | \(0.102712\pi\) | |||||||
\(44\) | 1.03209 | + | 1.78763i | 0.155593 | + | 0.269495i | ||||
\(45\) | −2.02094 | − | 1.69577i | −0.301265 | − | 0.252791i | ||||
\(46\) | 2.84730 | − | 4.93166i | 0.419811 | − | 0.727134i | ||||
\(47\) | 2.04916 | + | 1.71945i | 0.298901 | + | 0.250808i | 0.779887 | − | 0.625921i | \(-0.215277\pi\) |
−0.480986 | + | 0.876728i | \(0.659721\pi\) | |||||||
\(48\) | 1.70574 | − | 0.300767i | 0.246202 | − | 0.0434120i | ||||
\(49\) | 0.173648 | + | 0.984808i | 0.0248069 | + | 0.140687i | ||||
\(50\) | −3.23783 | + | 2.71686i | −0.457898 | + | 0.384222i | ||||
\(51\) | −3.79813 | + | 4.52644i | −0.531845 | + | 0.633828i | ||||
\(52\) | −0.326352 | + | 0.118782i | −0.0452569 | + | 0.0164721i | ||||
\(53\) | 10.0915 | 1.38618 | 0.693088 | − | 0.720853i | \(-0.256250\pi\) | ||||
0.693088 | + | 0.720853i | \(0.256250\pi\) | |||||||
\(54\) | 5.11721 | + | 0.902302i | 0.696364 | + | 0.122788i | ||||
\(55\) | −1.81521 | −0.244763 | ||||||||
\(56\) | −0.939693 | + | 0.342020i | −0.125572 | + | 0.0457044i | ||||
\(57\) | 3.48293 | + | 0.614134i | 0.461325 | + | 0.0813440i | ||||
\(58\) | 1.45677 | − | 1.22237i | 0.191283 | − | 0.160505i | ||||
\(59\) | 0.177519 | + | 1.00676i | 0.0231109 | + | 0.131069i | 0.994180 | − | 0.107729i | \(-0.0343579\pi\) |
−0.971069 | + | 0.238798i | \(0.923247\pi\) | |||||||
\(60\) | −0.520945 | + | 1.43128i | −0.0672537 | + | 0.184778i | ||||
\(61\) | −2.62449 | − | 2.20220i | −0.336031 | − | 0.281963i | 0.459121 | − | 0.888374i | \(-0.348164\pi\) |
−0.795152 | + | 0.606410i | \(0.792609\pi\) | |||||||
\(62\) | 1.32635 | − | 2.29731i | 0.168447 | − | 0.291759i | ||||
\(63\) | −3.00000 | −0.377964 | ||||||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 0.0530334 | − | 0.300767i | 0.00657799 | − | 0.0373056i | ||||
\(66\) | 3.09627 | − | 1.78763i | 0.381124 | − | 0.220042i | ||||
\(67\) | 10.0706 | + | 3.66539i | 1.23032 | + | 0.447799i | 0.873706 | − | 0.486455i | \(-0.161710\pi\) |
0.356611 | + | 0.934253i | \(0.383932\pi\) | |||||||
\(68\) | 3.20574 | + | 1.16679i | 0.388753 | + | 0.141494i | ||||
\(69\) | −8.54189 | − | 4.93166i | −1.02832 | − | 0.593702i | ||||
\(70\) | 0.152704 | − | 0.866025i | 0.0182516 | − | 0.103510i | ||||
\(71\) | 2.87211 | + | 4.97464i | 0.340857 | + | 0.590381i | 0.984592 | − | 0.174867i | \(-0.0559495\pi\) |
−0.643735 | + | 0.765248i | \(0.722616\pi\) | |||||||
\(72\) | −0.520945 | − | 2.95442i | −0.0613939 | − | 0.348182i | ||||
\(73\) | 6.20961 | − | 10.7554i | 0.726780 | − | 1.25882i | −0.231458 | − | 0.972845i | \(-0.574350\pi\) |
0.958237 | − | 0.285974i | \(-0.0923172\pi\) | |||||||
\(74\) | 0.347296 | + | 0.291416i | 0.0403724 | + | 0.0338765i | ||||
\(75\) | 4.70574 | + | 5.60808i | 0.543372 | + | 0.647565i | ||||
\(76\) | −0.354570 | − | 2.01087i | −0.0406720 | − | 0.230662i | ||||
\(77\) | −1.58125 | + | 1.32683i | −0.180200 | + | 0.151206i | ||||
\(78\) | 0.205737 | + | 0.565258i | 0.0232951 | + | 0.0640029i | ||||
\(79\) | 6.33750 | − | 2.30666i | 0.713024 | − | 0.259520i | 0.0400627 | − | 0.999197i | \(-0.487244\pi\) |
0.672961 | + | 0.739678i | \(0.265022\pi\) | |||||||
\(80\) | 0.879385 | 0.0983183 | ||||||||
\(81\) | 1.56283 | − | 8.86327i | 0.173648 | − | 0.984808i | ||||
\(82\) | 5.38919 | 0.595136 | ||||||||
\(83\) | 3.41147 | − | 1.24168i | 0.374458 | − | 0.136292i | −0.147934 | − | 0.988997i | \(-0.547262\pi\) |
0.522392 | + | 0.852706i | \(0.325040\pi\) | |||||||
\(84\) | 0.592396 | + | 1.62760i | 0.0646357 | + | 0.177585i | ||||
\(85\) | −2.29813 | + | 1.92836i | −0.249268 | + | 0.209160i | ||||
\(86\) | −0.336152 | − | 1.90641i | −0.0362482 | − | 0.205574i | ||||
\(87\) | −2.11721 | − | 2.52319i | −0.226989 | − | 0.270515i | ||||
\(88\) | −1.58125 | − | 1.32683i | −0.168562 | − | 0.141440i | ||||
\(89\) | 9.38326 | − | 16.2523i | 0.994623 | − | 1.72274i | 0.407625 | − | 0.913149i | \(-0.366357\pi\) |
0.586998 | − | 0.809588i | \(-0.300310\pi\) | |||||||
\(90\) | 2.47906 | + | 0.902302i | 0.261315 | + | 0.0951110i | ||||
\(91\) | −0.173648 | − | 0.300767i | −0.0182033 | − | 0.0315290i | ||||
\(92\) | −0.988856 | + | 5.60808i | −0.103095 | + | 0.584683i | ||||
\(93\) | −3.97906 | − | 2.29731i | −0.412609 | − | 0.238220i | ||||
\(94\) | −2.51367 | − | 0.914901i | −0.259265 | − | 0.0943649i | ||||
\(95\) | 1.68732 | + | 0.614134i | 0.173115 | + | 0.0630088i | ||||
\(96\) | −1.50000 | + | 0.866025i | −0.153093 | + | 0.0883883i | ||||
\(97\) | −1.24376 | + | 7.05369i | −0.126284 | + | 0.716194i | 0.854253 | + | 0.519858i | \(0.174015\pi\) |
−0.980537 | + | 0.196335i | \(0.937096\pi\) | |||||||
\(98\) | −0.500000 | − | 0.866025i | −0.0505076 | − | 0.0874818i | ||||
\(99\) | −3.09627 | − | 5.36289i | −0.311187 | − | 0.538991i | ||||
\(100\) | 2.11334 | − | 3.66041i | 0.211334 | − | 0.366041i | ||||
\(101\) | −1.91147 | − | 1.60392i | −0.190199 | − | 0.159596i | 0.542716 | − | 0.839916i | \(-0.317396\pi\) |
−0.732915 | + | 0.680321i | \(0.761841\pi\) | |||||||
\(102\) | 2.02094 | − | 5.55250i | 0.200103 | − | 0.549779i | ||||
\(103\) | 0.176174 | + | 0.999135i | 0.0173590 | + | 0.0984477i | 0.992256 | − | 0.124207i | \(-0.0396388\pi\) |
−0.974897 | + | 0.222655i | \(0.928528\pi\) | |||||||
\(104\) | 0.266044 | − | 0.223238i | 0.0260878 | − | 0.0218903i | ||||
\(105\) | −1.50000 | − | 0.264490i | −0.146385 | − | 0.0258116i | ||||
\(106\) | −9.48293 | + | 3.45150i | −0.921063 | + | 0.335240i | ||||
\(107\) | 11.3131 | 1.09368 | 0.546842 | − | 0.837236i | \(-0.315830\pi\) | ||||
0.546842 | + | 0.837236i | \(0.315830\pi\) | |||||||
\(108\) | −5.11721 | + | 0.902302i | −0.492404 | + | 0.0868241i | ||||
\(109\) | 12.7588 | 1.22207 | 0.611034 | − | 0.791604i | \(-0.290754\pi\) | ||||
0.611034 | + | 0.791604i | \(0.290754\pi\) | |||||||
\(110\) | 1.70574 | − | 0.620838i | 0.162636 | − | 0.0591945i | ||||
\(111\) | 0.504748 | − | 0.601535i | 0.0479085 | − | 0.0570952i | ||||
\(112\) | 0.766044 | − | 0.642788i | 0.0723844 | − | 0.0607377i | ||||
\(113\) | −3.15910 | − | 17.9161i | −0.297183 | − | 1.68541i | −0.658194 | − | 0.752848i | \(-0.728680\pi\) |
0.361011 | − | 0.932561i | \(-0.382432\pi\) | |||||||
\(114\) | −3.48293 | + | 0.614134i | −0.326206 | + | 0.0575189i | ||||
\(115\) | −3.83615 | − | 3.21891i | −0.357723 | − | 0.300165i | ||||
\(116\) | −0.950837 | + | 1.64690i | −0.0882830 | + | 0.152911i | ||||
\(117\) | 0.979055 | − | 0.356347i | 0.0905137 | − | 0.0329443i | ||||
\(118\) | −0.511144 | − | 0.885328i | −0.0470547 | − | 0.0815010i | ||||
\(119\) | −0.592396 | + | 3.35965i | −0.0543049 | + | 0.307978i | ||||
\(120\) | − | 1.52314i | − | 0.139043i | ||||||
\(121\) | 6.33275 | + | 2.30493i | 0.575704 | + | 0.209539i | ||||
\(122\) | 3.21941 | + | 1.17177i | 0.291471 | + | 0.106087i | ||||
\(123\) | − | 9.33434i | − | 0.841649i | ||||||
\(124\) | −0.460637 | + | 2.61240i | −0.0413664 | + | 0.234601i | ||||
\(125\) | 4.05690 | + | 7.02676i | 0.362861 | + | 0.628493i | ||||
\(126\) | 2.81908 | − | 1.02606i | 0.251143 | − | 0.0914087i | ||||
\(127\) | 6.14156 | − | 10.6375i | 0.544975 | − | 0.943925i | −0.453633 | − | 0.891188i | \(-0.649872\pi\) |
0.998608 | − | 0.0527364i | \(-0.0167943\pi\) | |||||||
\(128\) | 0.766044 | + | 0.642788i | 0.0677094 | + | 0.0568149i | ||||
\(129\) | −3.30200 | + | 0.582232i | −0.290725 | + | 0.0512627i | ||||
\(130\) | 0.0530334 | + | 0.300767i | 0.00465134 | + | 0.0263791i | ||||
\(131\) | 1.70574 | − | 1.43128i | 0.149031 | − | 0.125052i | −0.565224 | − | 0.824938i | \(-0.691210\pi\) |
0.714255 | + | 0.699886i | \(0.246766\pi\) | |||||||
\(132\) | −2.29813 | + | 2.73881i | −0.200027 | + | 0.238383i | ||||
\(133\) | 1.91875 | − | 0.698367i | 0.166377 | − | 0.0605561i | ||||
\(134\) | −10.7169 | −0.925798 | ||||||||
\(135\) | 1.56283 | − | 4.29385i | 0.134507 | − | 0.369556i | ||||
\(136\) | −3.41147 | −0.292531 | ||||||||
\(137\) | 6.01842 | − | 2.19053i | 0.514188 | − | 0.187149i | −0.0718764 | − | 0.997414i | \(-0.522899\pi\) |
0.586065 | + | 0.810264i | \(0.300676\pi\) | |||||||
\(138\) | 9.71348 | + | 1.71275i | 0.826866 | + | 0.145799i | ||||
\(139\) | −16.7815 | + | 14.0814i | −1.42339 | + | 1.19437i | −0.473897 | + | 0.880580i | \(0.657153\pi\) |
−0.949494 | + | 0.313786i | \(0.898403\pi\) | |||||||
\(140\) | 0.152704 | + | 0.866025i | 0.0129058 | + | 0.0731925i | ||||
\(141\) | −1.58466 | + | 4.35381i | −0.133452 | + | 0.366657i | ||||
\(142\) | −4.40033 | − | 3.69232i | −0.369267 | − | 0.309852i | ||||
\(143\) | 0.358441 | − | 0.620838i | 0.0299743 | − | 0.0519170i | ||||
\(144\) | 1.50000 | + | 2.59808i | 0.125000 | + | 0.216506i | ||||
\(145\) | −0.836152 | − | 1.44826i | −0.0694386 | − | 0.120271i | ||||
\(146\) | −2.15657 | + | 12.2305i | −0.178479 | + | 1.01221i | ||||
\(147\) | −1.50000 | + | 0.866025i | −0.123718 | + | 0.0714286i | ||||
\(148\) | −0.426022 | − | 0.155059i | −0.0350188 | − | 0.0127458i | ||||
\(149\) | −20.7528 | − | 7.55342i | −1.70014 | − | 0.618800i | −0.704298 | − | 0.709905i | \(-0.748738\pi\) |
−0.995841 | + | 0.0911048i | \(0.970960\pi\) | |||||||
\(150\) | −6.34002 | − | 3.66041i | −0.517661 | − | 0.298872i | ||||
\(151\) | −3.12361 | + | 17.7149i | −0.254196 | + | 1.44161i | 0.543933 | + | 0.839128i | \(0.316934\pi\) |
−0.798129 | + | 0.602487i | \(0.794177\pi\) | |||||||
\(152\) | 1.02094 | + | 1.76833i | 0.0828095 | + | 0.143430i | ||||
\(153\) | −9.61721 | − | 3.50038i | −0.777505 | − | 0.282989i | ||||
\(154\) | 1.03209 | − | 1.78763i | 0.0831681 | − | 0.144051i | ||||
\(155\) | −1.78699 | − | 1.49946i | −0.143534 | − | 0.120440i | ||||
\(156\) | −0.386659 | − | 0.460802i | −0.0309575 | − | 0.0368937i | ||||
\(157\) | 3.40554 | + | 19.3138i | 0.271792 | + | 1.54141i | 0.748971 | + | 0.662603i | \(0.230548\pi\) |
−0.477179 | + | 0.878806i | \(0.658341\pi\) | |||||||
\(158\) | −5.16637 | + | 4.33510i | −0.411015 | + | 0.344882i | ||||
\(159\) | 5.97818 | + | 16.4249i | 0.474100 | + | 1.30258i | ||||
\(160\) | −0.826352 | + | 0.300767i | −0.0653288 | + | 0.0237778i | ||||
\(161\) | −5.69459 | −0.448797 | ||||||||
\(162\) | 1.56283 | + | 8.86327i | 0.122788 | + | 0.696364i | ||||
\(163\) | 8.96585 | 0.702260 | 0.351130 | − | 0.936327i | \(-0.385798\pi\) | ||||
0.351130 | + | 0.936327i | \(0.385798\pi\) | |||||||
\(164\) | −5.06418 | + | 1.84321i | −0.395446 | + | 0.143931i | ||||
\(165\) | −1.07532 | − | 2.95442i | −0.0837137 | − | 0.230002i | ||||
\(166\) | −2.78106 | + | 2.33359i | −0.215852 | + | 0.181121i | ||||
\(167\) | −0.273785 | − | 1.55271i | −0.0211861 | − | 0.120153i | 0.972381 | − | 0.233401i | \(-0.0749855\pi\) |
−0.993567 | + | 0.113248i | \(0.963874\pi\) | |||||||
\(168\) | −1.11334 | − | 1.32683i | −0.0858961 | − | 0.102367i | ||||
\(169\) | −9.86618 | − | 8.27871i | −0.758937 | − | 0.636824i | ||||
\(170\) | 1.50000 | − | 2.59808i | 0.115045 | − | 0.199263i | ||||
\(171\) | 1.06371 | + | 6.03260i | 0.0813440 | + | 0.461325i | ||||
\(172\) | 0.967911 | + | 1.67647i | 0.0738025 | + | 0.127830i | ||||
\(173\) | 3.33363 | − | 18.9059i | 0.253451 | − | 1.43739i | −0.546567 | − | 0.837415i | \(-0.684066\pi\) |
0.800018 | − | 0.599976i | \(-0.204823\pi\) | |||||||
\(174\) | 2.85251 | + | 1.64690i | 0.216248 | + | 0.124851i | ||||
\(175\) | 3.97178 | + | 1.44561i | 0.300238 | + | 0.109278i | ||||
\(176\) | 1.93969 | + | 0.705990i | 0.146210 | + | 0.0532160i | ||||
\(177\) | −1.53343 | + | 0.885328i | −0.115260 | + | 0.0665453i | ||||
\(178\) | −3.25877 | + | 18.4814i | −0.244255 | + | 1.38524i | ||||
\(179\) | 8.03596 | + | 13.9187i | 0.600636 | + | 1.04033i | 0.992725 | + | 0.120404i | \(0.0384191\pi\) |
−0.392089 | + | 0.919927i | \(0.628248\pi\) | |||||||
\(180\) | −2.63816 | −0.196637 | ||||||||
\(181\) | −11.1630 | + | 19.3348i | −0.829737 | + | 1.43715i | 0.0685074 | + | 0.997651i | \(0.478176\pi\) |
−0.898244 | + | 0.439496i | \(0.855157\pi\) | |||||||
\(182\) | 0.266044 | + | 0.223238i | 0.0197205 | + | 0.0165475i | ||||
\(183\) | 2.02956 | − | 5.57618i | 0.150030 | − | 0.412203i | ||||
\(184\) | −0.988856 | − | 5.60808i | −0.0728994 | − | 0.413433i | ||||
\(185\) | 0.305407 | − | 0.256267i | 0.0224540 | − | 0.0188411i | ||||
\(186\) | 4.52481 | + | 0.797847i | 0.331776 | + | 0.0585010i | ||||
\(187\) | −6.61721 | + | 2.40847i | −0.483898 | + | 0.176125i | ||||
\(188\) | 2.67499 | 0.195094 | ||||||||
\(189\) | −1.77719 | − | 4.88279i | −0.129271 | − | 0.355170i | ||||
\(190\) | −1.79561 | −0.130267 | ||||||||
\(191\) | −13.3157 | + | 4.84651i | −0.963488 | + | 0.350681i | −0.775400 | − | 0.631471i | \(-0.782452\pi\) |
−0.188089 | + | 0.982152i | \(0.560229\pi\) | |||||||
\(192\) | 1.11334 | − | 1.32683i | 0.0803485 | − | 0.0957556i | ||||
\(193\) | 7.43242 | − | 6.23654i | 0.534997 | − | 0.448916i | −0.334826 | − | 0.942280i | \(-0.608677\pi\) |
0.869823 | + | 0.493364i | \(0.164233\pi\) | |||||||
\(194\) | −1.24376 | − | 7.05369i | −0.0892965 | − | 0.506425i | ||||
\(195\) | 0.520945 | − | 0.0918566i | 0.0373056 | − | 0.00657799i | ||||
\(196\) | 0.766044 | + | 0.642788i | 0.0547175 | + | 0.0459134i | ||||
\(197\) | 2.96198 | − | 5.13030i | 0.211032 | − | 0.365519i | −0.741005 | − | 0.671499i | \(-0.765651\pi\) |
0.952038 | + | 0.305980i | \(0.0989841\pi\) | |||||||
\(198\) | 4.74376 | + | 3.98048i | 0.337124 | + | 0.282881i | ||||
\(199\) | −9.23308 | − | 15.9922i | −0.654516 | − | 1.13365i | −0.982015 | − | 0.188803i | \(-0.939539\pi\) |
0.327499 | − | 0.944851i | \(-0.393794\pi\) | |||||||
\(200\) | −0.733956 | + | 4.16247i | −0.0518985 | + | 0.294331i | ||||
\(201\) | 18.5622i | 1.30928i | ||||||||
\(202\) | 2.34477 | + | 0.853427i | 0.164977 | + | 0.0600469i | ||||
\(203\) | −1.78699 | − | 0.650411i | −0.125422 | − | 0.0456499i | ||||
\(204\) | 5.90885i | 0.413702i | ||||||||
\(205\) | 0.822948 | − | 4.66717i | 0.0574772 | − | 0.325969i | ||||
\(206\) | −0.507274 | − | 0.878624i | −0.0353435 | − | 0.0612167i | ||||
\(207\) | 2.96657 | − | 16.8242i | 0.206191 | − | 1.16937i | ||||
\(208\) | −0.173648 | + | 0.300767i | −0.0120403 | + | 0.0208545i | ||||
\(209\) | 3.22874 | + | 2.70924i | 0.223337 | + | 0.187402i | ||||
\(210\) | 1.50000 | − | 0.264490i | 0.103510 | − | 0.0182516i | ||||
\(211\) | 3.21823 | + | 18.2515i | 0.221552 | + | 1.25648i | 0.869168 | + | 0.494516i | \(0.164655\pi\) |
−0.647617 | + | 0.761966i | \(0.724234\pi\) | |||||||
\(212\) | 7.73055 | − | 6.48670i | 0.530936 | − | 0.445509i | ||||
\(213\) | −6.39528 | + | 7.62159i | −0.438197 | + | 0.522223i | ||||
\(214\) | −10.6309 | + | 3.86932i | −0.726712 | + | 0.264502i | ||||
\(215\) | −1.70233 | −0.116098 | ||||||||
\(216\) | 4.50000 | − | 2.59808i | 0.306186 | − | 0.176777i | ||||
\(217\) | −2.65270 | −0.180077 | ||||||||
\(218\) | −11.9893 | + | 4.36376i | −0.812019 | + | 0.295551i | ||||
\(219\) | 21.1839 | + | 3.73530i | 1.43148 | + | 0.252408i | ||||
\(220\) | −1.39053 | + | 1.16679i | −0.0937495 | + | 0.0786652i | ||||
\(221\) | −0.205737 | − | 1.16679i | −0.0138394 | − | 0.0784870i | ||||
\(222\) | −0.268571 | + | 0.737892i | −0.0180253 | + | 0.0495241i | ||||
\(223\) | −8.05169 | − | 6.75617i | −0.539181 | − | 0.452427i | 0.332077 | − | 0.943252i | \(-0.392251\pi\) |
−0.871258 | + | 0.490826i | \(0.836695\pi\) | |||||||
\(224\) | −0.500000 | + | 0.866025i | −0.0334077 | + | 0.0578638i | ||||
\(225\) | −6.34002 | + | 10.9812i | −0.422668 | + | 0.732083i | ||||
\(226\) | 9.09627 | + | 15.7552i | 0.605075 | + | 1.04802i | ||||
\(227\) | −2.22328 | + | 12.6088i | −0.147564 | + | 0.836878i | 0.817708 | + | 0.575633i | \(0.195244\pi\) |
−0.965272 | + | 0.261245i | \(0.915867\pi\) | |||||||
\(228\) | 3.06283 | − | 1.76833i | 0.202841 | − | 0.117110i | ||||
\(229\) | −9.75624 | − | 3.55098i | −0.644711 | − | 0.234656i | −0.00108918 | − | 0.999999i | \(-0.500347\pi\) |
−0.643622 | + | 0.765344i | \(0.722569\pi\) | |||||||
\(230\) | 4.70574 | + | 1.71275i | 0.310287 | + | 0.112935i | ||||
\(231\) | −3.09627 | − | 1.78763i | −0.203719 | − | 0.117617i | ||||
\(232\) | 0.330222 | − | 1.87278i | 0.0216802 | − | 0.122954i | ||||
\(233\) | 2.00134 | + | 3.46643i | 0.131112 | + | 0.227093i | 0.924106 | − | 0.382137i | \(-0.124812\pi\) |
−0.792993 | + | 0.609230i | \(0.791478\pi\) | |||||||
\(234\) | −0.798133 | + | 0.669713i | −0.0521756 | + | 0.0437805i | ||||
\(235\) | −1.17617 | + | 2.03719i | −0.0767252 | + | 0.132892i | ||||
\(236\) | 0.783119 | + | 0.657115i | 0.0509767 | + | 0.0427745i | ||||
\(237\) | 7.50862 | + | 8.94842i | 0.487737 | + | 0.581263i | ||||
\(238\) | −0.592396 | − | 3.35965i | −0.0383993 | − | 0.217774i | ||||
\(239\) | 16.3537 | − | 13.7224i | 1.05783 | − | 0.887627i | 0.0639371 | − | 0.997954i | \(-0.479634\pi\) |
0.993895 | + | 0.110327i | \(0.0351898\pi\) | |||||||
\(240\) | 0.520945 | + | 1.43128i | 0.0336268 | + | 0.0923889i | ||||
\(241\) | 5.34642 | − | 1.94594i | 0.344393 | − | 0.125349i | −0.164032 | − | 0.986455i | \(-0.552450\pi\) |
0.508425 | + | 0.861106i | \(0.330228\pi\) | |||||||
\(242\) | −6.73917 | −0.433210 | ||||||||
\(243\) | 15.3516 | − | 2.70691i | 0.984808 | − | 0.173648i | ||||
\(244\) | −3.42602 | −0.219329 | ||||||||
\(245\) | −0.826352 | + | 0.300767i | −0.0527937 | + | 0.0192153i | ||||
\(246\) | 3.19253 | + | 8.77141i | 0.203548 | + | 0.559245i | ||||
\(247\) | −0.543233 | + | 0.455827i | −0.0345651 | + | 0.0290036i | ||||
\(248\) | −0.460637 | − | 2.61240i | −0.0292505 | − | 0.165888i | ||||
\(249\) | 4.04189 | + | 4.81694i | 0.256144 | + | 0.305261i | ||||
\(250\) | −6.21554 | − | 5.21546i | −0.393105 | − | 0.329854i | ||||
\(251\) | 6.46451 | − | 11.1969i | 0.408036 | − | 0.706739i | −0.586634 | − | 0.809853i | \(-0.699547\pi\) |
0.994670 | + | 0.103113i | \(0.0328804\pi\) | |||||||
\(252\) | −2.29813 | + | 1.92836i | −0.144769 | + | 0.121475i | ||||
\(253\) | −5.87733 | − | 10.1798i | −0.369504 | − | 0.640000i | ||||
\(254\) | −2.13294 | + | 12.0965i | −0.133833 | + | 0.759003i | ||||
\(255\) | −4.50000 | − | 2.59808i | −0.281801 | − | 0.162698i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | −27.5107 | − | 10.0131i | −1.71607 | − | 0.624599i | −0.718585 | − | 0.695439i | \(-0.755210\pi\) |
−0.997488 | + | 0.0708401i | \(0.977432\pi\) | |||||||
\(258\) | 2.90373 | − | 1.67647i | 0.180779 | − | 0.104373i | ||||
\(259\) | 0.0787257 | − | 0.446476i | 0.00489178 | − | 0.0277426i | ||||
\(260\) | −0.152704 | − | 0.264490i | −0.00947028 | − | 0.0164030i | ||||
\(261\) | 2.85251 | − | 4.94069i | 0.176566 | − | 0.305821i | ||||
\(262\) | −1.11334 | + | 1.92836i | −0.0687824 | + | 0.119135i | ||||
\(263\) | −5.35117 | − | 4.49016i | −0.329967 | − | 0.276875i | 0.462719 | − | 0.886505i | \(-0.346874\pi\) |
−0.792686 | + | 0.609630i | \(0.791318\pi\) | |||||||
\(264\) | 1.22281 | − | 3.35965i | 0.0752588 | − | 0.206772i | ||||
\(265\) | 1.54101 | + | 8.73951i | 0.0946636 | + | 0.536864i | ||||
\(266\) | −1.56418 | + | 1.31250i | −0.0959059 | + | 0.0804746i | ||||
\(267\) | 32.0107 | + | 5.64436i | 1.95903 | + | 0.345429i | ||||
\(268\) | 10.0706 | − | 3.66539i | 0.615158 | − | 0.223899i | ||||
\(269\) | −18.9786 | −1.15715 | −0.578574 | − | 0.815630i | \(-0.696391\pi\) | ||||
−0.578574 | + | 0.815630i | \(0.696391\pi\) | |||||||
\(270\) | 4.56942i | 0.278086i | ||||||||
\(271\) | −28.8033 | −1.74968 | −0.874839 | − | 0.484413i | \(-0.839033\pi\) | ||||
−0.874839 | + | 0.484413i | \(0.839033\pi\) | |||||||
\(272\) | 3.20574 | − | 1.16679i | 0.194376 | − | 0.0707472i | ||||
\(273\) | 0.386659 | − | 0.460802i | 0.0234017 | − | 0.0278890i | ||||
\(274\) | −4.90626 | + | 4.11684i | −0.296398 | + | 0.248707i | ||||
\(275\) | 1.51501 | + | 8.59208i | 0.0913588 | + | 0.518122i | ||||
\(276\) | −9.71348 | + | 1.71275i | −0.584683 | + | 0.103095i | ||||
\(277\) | −18.0326 | − | 15.1311i | −1.08347 | − | 0.909140i | −0.0872669 | − | 0.996185i | \(-0.527813\pi\) |
−0.996204 | + | 0.0870446i | \(0.972258\pi\) | |||||||
\(278\) | 10.9534 | − | 18.9718i | 0.656939 | − | 1.13785i | ||||
\(279\) | 1.38191 | − | 7.83721i | 0.0827329 | − | 0.469201i | ||||
\(280\) | −0.439693 | − | 0.761570i | −0.0262767 | − | 0.0455125i | ||||
\(281\) | 3.93464 | − | 22.3145i | 0.234721 | − | 1.33117i | −0.608480 | − | 0.793570i | \(-0.708220\pi\) |
0.843201 | − | 0.537599i | \(-0.180669\pi\) | |||||||
\(282\) | − | 4.63322i | − | 0.275904i | ||||||
\(283\) | 8.45811 | + | 3.07850i | 0.502783 | + | 0.182998i | 0.580945 | − | 0.813943i | \(-0.302683\pi\) |
−0.0781626 | + | 0.996941i | \(0.524905\pi\) | |||||||
\(284\) | 5.39780 | + | 1.96464i | 0.320301 | + | 0.116580i | ||||
\(285\) | 3.11008i | 0.184225i | ||||||||
\(286\) | −0.124485 | + | 0.705990i | −0.00736096 | + | 0.0417461i | ||||
\(287\) | −2.69459 | − | 4.66717i | −0.159057 | − | 0.275494i | ||||
\(288\) | −2.29813 | − | 1.92836i | −0.135419 | − | 0.113630i | ||||
\(289\) | 2.68092 | − | 4.64349i | 0.157701 | − | 0.273147i | ||||
\(290\) | 1.28106 | + | 1.07494i | 0.0752264 | + | 0.0631224i | ||||
\(291\) | −12.2173 | + | 2.15425i | −0.716194 | + | 0.126284i | ||||
\(292\) | −2.15657 | − | 12.2305i | −0.126204 | − | 0.715738i | ||||
\(293\) | 6.99067 | − | 5.86587i | 0.408399 | − | 0.342688i | −0.415330 | − | 0.909671i | \(-0.636334\pi\) |
0.823729 | + | 0.566983i | \(0.191890\pi\) | |||||||
\(294\) | 1.11334 | − | 1.32683i | 0.0649314 | − | 0.0773822i | ||||
\(295\) | −0.844770 | + | 0.307471i | −0.0491844 | + | 0.0179017i | ||||
\(296\) | 0.453363 | 0.0263512 | ||||||||
\(297\) | 6.89440 | − | 8.21643i | 0.400054 | − | 0.476765i | ||||
\(298\) | 22.0847 | 1.27933 | ||||||||
\(299\) | 1.85844 | − | 0.676417i | 0.107476 | − | 0.0391182i | ||||
\(300\) | 7.20961 | + | 1.27125i | 0.416247 | + | 0.0733956i | ||||
\(301\) | −1.48293 | + | 1.24432i | −0.0854744 | + | 0.0717216i | ||||
\(302\) | −3.12361 | − | 17.7149i | −0.179743 | − | 1.01938i | ||||
\(303\) | 1.47818 | − | 4.06126i | 0.0849191 | − | 0.233313i | ||||
\(304\) | −1.56418 | − | 1.31250i | −0.0897117 | − | 0.0752771i | ||||
\(305\) | 1.50640 | − | 2.60916i | 0.0862560 | − | 0.149400i | ||||
\(306\) | 10.2344 | 0.585063 | ||||||||
\(307\) | −5.69712 | − | 9.86770i | −0.325152 | − | 0.563179i | 0.656391 | − | 0.754421i | \(-0.272082\pi\) |
−0.981543 | + | 0.191241i | \(0.938749\pi\) | |||||||
\(308\) | −0.358441 | + | 2.03282i | −0.0204241 | + | 0.115831i | ||||
\(309\) | −1.52182 | + | 0.878624i | −0.0865734 | + | 0.0499832i | ||||
\(310\) | 2.19207 | + | 0.797847i | 0.124501 | + | 0.0453147i | ||||
\(311\) | −2.13903 | − | 0.778544i | −0.121293 | − | 0.0441472i | 0.280660 | − | 0.959807i | \(-0.409447\pi\) |
−0.401954 | + | 0.915660i | \(0.631669\pi\) | |||||||
\(312\) | 0.520945 | + | 0.300767i | 0.0294927 | + | 0.0170276i | ||||
\(313\) | −0.253718 | + | 1.43891i | −0.0143410 | + | 0.0813318i | −0.991138 | − | 0.132834i | \(-0.957592\pi\) |
0.976797 | + | 0.214166i | \(0.0687033\pi\) | |||||||
\(314\) | −9.80587 | − | 16.9843i | −0.553377 | − | 0.958478i | ||||
\(315\) | −0.458111 | − | 2.59808i | −0.0258116 | − | 0.146385i | ||||
\(316\) | 3.37211 | − | 5.84067i | 0.189696 | − | 0.328563i | ||||
\(317\) | −0.320422 | − | 0.268866i | −0.0179967 | − | 0.0151010i | 0.633745 | − | 0.773542i | \(-0.281517\pi\) |
−0.651742 | + | 0.758441i | \(0.725961\pi\) | |||||||
\(318\) | −11.2353 | − | 13.3897i | −0.630044 | − | 0.750858i | ||||
\(319\) | −0.681637 | − | 3.86576i | −0.0381644 | − | 0.216441i | ||||
\(320\) | 0.673648 | − | 0.565258i | 0.0376581 | − | 0.0315989i | ||||
\(321\) | 6.70187 | + | 18.4132i | 0.374062 | + | 1.02773i | ||||
\(322\) | 5.35117 | − | 1.94767i | 0.298209 | − | 0.108539i | ||||
\(323\) | 6.96585 | 0.387590 | ||||||||
\(324\) | −4.50000 | − | 7.79423i | −0.250000 | − | 0.433013i | ||||
\(325\) | −1.46791 | −0.0814251 | ||||||||
\(326\) | −8.42514 | + | 3.06650i | −0.466626 | + | 0.169838i | ||||
\(327\) | 7.55825 | + | 20.7661i | 0.417972 | + | 1.14837i | ||||
\(328\) | 4.12836 | − | 3.46410i | 0.227950 | − | 0.191273i | ||||
\(329\) | 0.464508 | + | 2.63435i | 0.0256091 | + | 0.145237i | ||||
\(330\) | 2.02094 | + | 2.40847i | 0.111249 | + | 0.132582i | ||||
\(331\) | 8.74170 | + | 7.33515i | 0.480487 | + | 0.403177i | 0.850603 | − | 0.525809i | \(-0.176237\pi\) |
−0.370115 | + | 0.928986i | \(0.620682\pi\) | |||||||
\(332\) | 1.81521 | − | 3.14403i | 0.0996225 | − | 0.172551i | ||||
\(333\) | 1.27807 | + | 0.465178i | 0.0700376 | + | 0.0254916i | ||||
\(334\) | 0.788333 | + | 1.36543i | 0.0431357 | + | 0.0747132i | ||||
\(335\) | −1.63651 | + | 9.28109i | −0.0894119 | + | 0.507080i | ||||
\(336\) | 1.50000 | + | 0.866025i | 0.0818317 | + | 0.0472456i | ||||
\(337\) | 23.4047 | + | 8.51860i | 1.27493 | + | 0.464038i | 0.888753 | − | 0.458386i | \(-0.151572\pi\) |
0.386180 | + | 0.922423i | \(0.373794\pi\) | |||||||
\(338\) | 12.1027 | + | 4.40501i | 0.658298 | + | 0.239601i | ||||
\(339\) | 27.2888 | − | 15.7552i | 1.48212 | − | 0.855705i | ||||
\(340\) | −0.520945 | + | 2.95442i | −0.0282522 | + | 0.160226i | ||||
\(341\) | −2.73783 | − | 4.74205i | −0.148262 | − | 0.256797i | ||||
\(342\) | −3.06283 | − | 5.30498i | −0.165619 | − | 0.286861i | ||||
\(343\) | −0.500000 | + | 0.866025i | −0.0269975 | + | 0.0467610i | ||||
\(344\) | −1.48293 | − | 1.24432i | −0.0799540 | − | 0.0670894i | ||||
\(345\) | 2.96657 | − | 8.15058i | 0.159715 | − | 0.438812i | ||||
\(346\) | 3.33363 | + | 18.9059i | 0.179217 | + | 1.01639i | ||||
\(347\) | −9.02481 | + | 7.57272i | −0.484477 | + | 0.406525i | −0.852042 | − | 0.523473i | \(-0.824636\pi\) |
0.367565 | + | 0.929998i | \(0.380192\pi\) | |||||||
\(348\) | −3.24376 | − | 0.571962i | −0.173884 | − | 0.0306604i | ||||
\(349\) | 21.8332 | − | 7.94664i | 1.16871 | − | 0.425374i | 0.316506 | − | 0.948591i | \(-0.397490\pi\) |
0.852200 | + | 0.523217i | \(0.175268\pi\) | |||||||
\(350\) | −4.22668 | −0.225926 | ||||||||
\(351\) | 1.15998 | + | 1.38241i | 0.0619150 | + | 0.0737875i | ||||
\(352\) | −2.06418 | −0.110021 | ||||||||
\(353\) | −9.70486 | + | 3.53228i | −0.516538 | + | 0.188004i | −0.587117 | − | 0.809502i | \(-0.699737\pi\) |
0.0705798 | + | 0.997506i | \(0.477515\pi\) | |||||||
\(354\) | 1.13816 | − | 1.35640i | 0.0604923 | − | 0.0720919i | ||||
\(355\) | −3.86959 | + | 3.24697i | −0.205376 | + | 0.172331i | ||||
\(356\) | −3.25877 | − | 18.4814i | −0.172714 | − | 0.979513i | ||||
\(357\) | −5.81908 | + | 1.02606i | −0.307978 | + | 0.0543049i | ||||
\(358\) | −12.3118 | − | 10.3308i | −0.650699 | − | 0.546001i | ||||
\(359\) | −2.58512 | + | 4.47756i | −0.136438 | + | 0.236317i | −0.926146 | − | 0.377166i | \(-0.876899\pi\) |
0.789708 | + | 0.613483i | \(0.210232\pi\) | |||||||
\(360\) | 2.47906 | − | 0.902302i | 0.130658 | − | 0.0475555i | ||||
\(361\) | 7.41534 | + | 12.8438i | 0.390281 | + | 0.675987i | ||||
\(362\) | 3.87686 | − | 21.9868i | 0.203763 | − | 1.15560i | ||||
\(363\) | 11.6726i | 0.612652i | ||||||||
\(364\) | −0.326352 | − | 0.118782i | −0.0171055 | − | 0.00622589i | ||||
\(365\) | 10.2626 | + | 3.73530i | 0.537171 | + | 0.195514i | ||||
\(366\) | 5.93404i | 0.310177i | ||||||||
\(367\) | 2.55216 | − | 14.4740i | 0.133221 | − | 0.755536i | −0.842860 | − | 0.538133i | \(-0.819130\pi\) |
0.976082 | − | 0.217404i | \(-0.0697589\pi\) | |||||||
\(368\) | 2.84730 | + | 4.93166i | 0.148426 | + | 0.257081i | ||||
\(369\) | 15.1925 | − | 5.52963i | 0.790892 | − | 0.287861i | ||||
\(370\) | −0.199340 | + | 0.345268i | −0.0103632 | + | 0.0179496i | ||||
\(371\) | 7.73055 | + | 6.48670i | 0.401350 | + | 0.336773i | ||||
\(372\) | −4.52481 | + | 0.797847i | −0.234601 | + | 0.0413664i | ||||
\(373\) | −1.91740 | − | 10.8741i | −0.0992794 | − | 0.563042i | −0.993352 | − | 0.115119i | \(-0.963275\pi\) |
0.894072 | − | 0.447923i | \(-0.147836\pi\) | |||||||
\(374\) | 5.39440 | − | 4.52644i | 0.278938 | − | 0.234057i | ||||
\(375\) | −9.03343 | + | 10.7656i | −0.466484 | + | 0.555935i | ||||
\(376\) | −2.51367 | + | 0.914901i | −0.129633 | + | 0.0471824i | ||||
\(377\) | 0.660444 | 0.0340146 | ||||||||
\(378\) | 3.34002 | + | 3.98048i | 0.171792 | + | 0.204734i | ||||
\(379\) | −4.77332 | −0.245189 | −0.122594 | − | 0.992457i | \(-0.539121\pi\) | ||||
−0.122594 | + | 0.992457i | \(0.539121\pi\) | |||||||
\(380\) | 1.68732 | − | 0.614134i | 0.0865576 | − | 0.0315044i | ||||
\(381\) | 20.9518 | + | 3.69436i | 1.07339 | + | 0.189268i | ||||
\(382\) | 10.8550 | − | 9.10846i | 0.555392 | − | 0.466029i | ||||
\(383\) | 3.23355 | + | 18.3383i | 0.165226 | + | 0.937046i | 0.948831 | + | 0.315785i | \(0.102268\pi\) |
−0.783604 | + | 0.621260i | \(0.786621\pi\) | |||||||
\(384\) | −0.592396 | + | 1.62760i | −0.0302306 | + | 0.0830579i | ||||
\(385\) | −1.39053 | − | 1.16679i | −0.0708680 | − | 0.0594653i | ||||
\(386\) | −4.85117 | + | 8.40247i | −0.246918 | + | 0.427674i | ||||
\(387\) | −2.90373 | − | 5.02941i | −0.147605 | − | 0.255659i | ||||
\(388\) | 3.58125 | + | 6.20291i | 0.181811 | + | 0.314905i | ||||
\(389\) | 0.400492 | − | 2.27130i | 0.0203057 | − | 0.115160i | −0.972970 | − | 0.230931i | \(-0.925823\pi\) |
0.993276 | + | 0.115771i | \(0.0369340\pi\) | |||||||
\(390\) | −0.458111 | + | 0.264490i | −0.0231973 | + | 0.0133930i | ||||
\(391\) | −18.2554 | − | 6.64441i | −0.923214 | − | 0.336022i | ||||
\(392\) | −0.939693 | − | 0.342020i | −0.0474616 | − | 0.0172746i | ||||
\(393\) | 3.34002 | + | 1.92836i | 0.168482 | + | 0.0972730i | ||||
\(394\) | −1.02869 | + | 5.83396i | −0.0518244 | + | 0.293911i | ||||
\(395\) | 2.96538 | + | 5.13620i | 0.149205 | + | 0.258430i | ||||
\(396\) | −5.81908 | − | 2.11797i | −0.292420 | − | 0.106432i | ||||
\(397\) | −13.6224 | + | 23.5947i | −0.683690 | + | 1.18419i | 0.290157 | + | 0.956979i | \(0.406293\pi\) |
−0.973847 | + | 0.227207i | \(0.927041\pi\) | |||||||
\(398\) | 14.1459 | + | 11.8698i | 0.709070 | + | 0.594980i | ||||
\(399\) | 2.27332 | + | 2.70924i | 0.113808 | + | 0.135631i | ||||
\(400\) | −0.733956 | − | 4.16247i | −0.0366978 | − | 0.208123i | ||||
\(401\) | −22.0385 | + | 18.4925i | −1.10055 | + | 0.923471i | −0.997462 | − | 0.0712017i | \(-0.977317\pi\) |
−0.103088 | + | 0.994672i | \(0.532872\pi\) | |||||||
\(402\) | −6.34864 | − | 17.4427i | −0.316641 | − | 0.869965i | ||||
\(403\) | 0.865715 | − | 0.315094i | 0.0431243 | − | 0.0156960i | ||||
\(404\) | −2.49525 | −0.124143 | ||||||||
\(405\) | 7.91447 | 0.393273 | ||||||||
\(406\) | 1.90167 | 0.0943785 | ||||||||
\(407\) | 0.879385 | − | 0.320070i | 0.0435895 | − | 0.0158653i | ||||
\(408\) | −2.02094 | − | 5.55250i | −0.100052 | − | 0.274890i | ||||
\(409\) | 24.2160 | − | 20.3196i | 1.19740 | − | 1.00474i | 0.197704 | − | 0.980262i | \(-0.436652\pi\) |
0.999700 | − | 0.0244798i | \(-0.00779293\pi\) | |||||||
\(410\) | 0.822948 | + | 4.66717i | 0.0406425 | + | 0.230495i | ||||
\(411\) | 7.13058 | + | 8.49789i | 0.351725 | + | 0.419170i | ||||
\(412\) | 0.777189 | + | 0.652139i | 0.0382893 | + | 0.0321286i | ||||
\(413\) | −0.511144 | + | 0.885328i | −0.0251518 | + | 0.0435641i | ||||
\(414\) | 2.96657 | + | 16.8242i | 0.145799 | + | 0.826866i | ||||
\(415\) | 1.59627 | + | 2.76481i | 0.0783576 | + | 0.135719i | ||||
\(416\) | 0.0603074 | − | 0.342020i | 0.00295681 | − | 0.0167689i | ||||
\(417\) | −32.8601 | − | 18.9718i | −1.60917 | − | 0.929052i | ||||
\(418\) | −3.96064 | − | 1.44155i | −0.193721 | − | 0.0705087i | ||||
\(419\) | −0.118089 | − | 0.0429807i | −0.00576900 | − | 0.00209975i | 0.339134 | − | 0.940738i | \(-0.389866\pi\) |
−0.344903 | + | 0.938638i | \(0.612088\pi\) | |||||||
\(420\) | −1.31908 | + | 0.761570i | −0.0643644 | + | 0.0371608i | ||||
\(421\) | −5.13176 | + | 29.1037i | −0.250107 | + | 1.41843i | 0.558221 | + | 0.829692i | \(0.311484\pi\) |
−0.808328 | + | 0.588733i | \(0.799627\pi\) | |||||||
\(422\) | −9.26651 | − | 16.0501i | −0.451087 | − | 0.781305i | ||||
\(423\) | −8.02498 | −0.390188 | ||||||||
\(424\) | −5.04576 | + | 8.73951i | −0.245044 | + | 0.424428i | ||||
\(425\) | 11.0458 | + | 9.26849i | 0.535798 | + | 0.449588i | ||||
\(426\) | 3.40286 | − | 9.34927i | 0.164869 | − | 0.452974i | ||||
\(427\) | −0.594922 | − | 3.37397i | −0.0287903 | − | 0.163278i | ||||
\(428\) | 8.66637 | − | 7.27195i | 0.418905 | − | 0.351503i | ||||
\(429\) | 1.22281 | + | 0.215615i | 0.0590379 | + | 0.0104100i | ||||
\(430\) | 1.59967 | − | 0.582232i | 0.0771429 | − | 0.0280777i | ||||
\(431\) | −9.25578 | −0.445835 | −0.222918 | − | 0.974837i | \(-0.571558\pi\) | ||||
−0.222918 | + | 0.974837i | \(0.571558\pi\) | |||||||
\(432\) | −3.34002 | + | 3.98048i | −0.160697 | + | 0.191511i | ||||
\(433\) | −4.85978 | −0.233546 | −0.116773 | − | 0.993159i | \(-0.537255\pi\) | ||||
−0.116773 | + | 0.993159i | \(0.537255\pi\) | |||||||
\(434\) | 2.49273 | − | 0.907278i | 0.119655 | − | 0.0435507i | ||||
\(435\) | 1.86184 | − | 2.21886i | 0.0892686 | − | 0.106386i | ||||
\(436\) | 9.77379 | − | 8.20118i | 0.468079 | − | 0.392765i | ||||
\(437\) | 2.01913 | + | 11.4511i | 0.0965883 | + | 0.547779i | ||||
\(438\) | −21.1839 | + | 3.73530i | −1.01221 | + | 0.178479i | ||||
\(439\) | −22.7931 | − | 19.1257i | −1.08786 | − | 0.912820i | −0.0913077 | − | 0.995823i | \(-0.529105\pi\) |
−0.996549 | + | 0.0830022i | \(0.973549\pi\) | |||||||
\(440\) | 0.907604 | − | 1.57202i | 0.0432683 | − | 0.0749429i | ||||
\(441\) | −2.29813 | − | 1.92836i | −0.109435 | − | 0.0918268i | ||||
\(442\) | 0.592396 | + | 1.02606i | 0.0281774 | + | 0.0488047i | ||||
\(443\) | −3.69547 | + | 20.9581i | −0.175577 | + | 0.995747i | 0.761899 | + | 0.647696i | \(0.224267\pi\) |
−0.937476 | + | 0.348051i | \(0.886844\pi\) | |||||||
\(444\) | − | 0.785248i | − | 0.0372662i | ||||||
\(445\) | 15.5077 | + | 5.64436i | 0.735137 | + | 0.267568i | ||||
\(446\) | 9.87686 | + | 3.59488i | 0.467683 | + | 0.170223i | ||||
\(447\) | − | 38.2518i | − | 1.80925i | ||||||
\(448\) | 0.173648 | − | 0.984808i | 0.00820411 | − | 0.0465278i | ||||
\(449\) | 5.89171 | + | 10.2047i | 0.278047 | + | 0.481592i | 0.970899 | − | 0.239488i | \(-0.0769795\pi\) |
−0.692852 | + | 0.721080i | \(0.743646\pi\) | |||||||
\(450\) | 2.20187 | − | 12.4874i | 0.103797 | − | 0.588662i | ||||
\(451\) | 5.56212 | − | 9.63387i | 0.261910 | − | 0.453641i | ||||
\(452\) | −13.9363 | − | 11.6939i | −0.655508 | − | 0.550036i | ||||
\(453\) | −30.6830 | + | 5.41025i | −1.44161 | + | 0.254196i | ||||
\(454\) | −2.22328 | − | 12.6088i | −0.104344 | − | 0.591762i | ||||
\(455\) | 0.233956 | − | 0.196312i | 0.0109680 | − | 0.00920325i | ||||
\(456\) | −2.27332 | + | 2.70924i | −0.106458 | + | 0.126872i | ||||
\(457\) | 36.1117 | − | 13.1436i | 1.68924 | − | 0.614832i | 0.694707 | − | 0.719293i | \(-0.255534\pi\) |
0.994529 | + | 0.104461i | \(0.0333117\pi\) | |||||||
\(458\) | 10.3824 | 0.485137 | ||||||||
\(459\) | − | 17.7265i | − | 0.827404i | ||||||
\(460\) | −5.00774 | −0.233487 | ||||||||
\(461\) | 23.0736 | − | 8.39809i | 1.07464 | − | 0.391138i | 0.256732 | − | 0.966483i | \(-0.417354\pi\) |
0.817911 | + | 0.575345i | \(0.195132\pi\) | |||||||
\(462\) | 3.52094 | + | 0.620838i | 0.163809 | + | 0.0288840i | ||||
\(463\) | −5.23964 | + | 4.39658i | −0.243507 | + | 0.204326i | −0.756370 | − | 0.654144i | \(-0.773029\pi\) |
0.512864 | + | 0.858470i | \(0.328585\pi\) | |||||||
\(464\) | 0.330222 | + | 1.87278i | 0.0153302 | + | 0.0869418i | ||||
\(465\) | 1.38191 | − | 3.79677i | 0.0640846 | − | 0.176071i | ||||
\(466\) | −3.06624 | − | 2.57288i | −0.142041 | − | 0.119186i | ||||
\(467\) | −0.979055 | + | 1.69577i | −0.0453053 | + | 0.0784711i | −0.887789 | − | 0.460251i | \(-0.847759\pi\) |
0.842484 | + | 0.538722i | \(0.181093\pi\) | |||||||
\(468\) | 0.520945 | − | 0.902302i | 0.0240807 | − | 0.0417089i | ||||
\(469\) | 5.35844 | + | 9.28109i | 0.247430 | + | 0.428561i | ||||
\(470\) | 0.408481 | − | 2.31661i | 0.0188418 | − | 0.106857i | ||||
\(471\) | −29.4176 | + | 16.9843i | −1.35549 | + | 0.782594i | ||||
\(472\) | −0.960637 | − | 0.349643i | −0.0442169 | − | 0.0160936i | ||||
\(473\) | −3.75490 | − | 1.36667i | −0.172650 | − | 0.0628396i | ||||
\(474\) | −10.1163 | − | 5.84067i | −0.464659 | − | 0.268271i | ||||
\(475\) | 1.49866 | − | 8.49930i | 0.0687630 | − | 0.389975i | ||||
\(476\) | 1.70574 | + | 2.95442i | 0.0781823 | + | 0.135416i | ||||
\(477\) | −23.1917 | + | 19.4601i | −1.06187 | + | 0.891017i | ||||
\(478\) | −10.6741 | + | 18.4881i | −0.488223 | + | 0.845626i | ||||
\(479\) | −12.6138 | − | 10.5842i | −0.576340 | − | 0.483606i | 0.307403 | − | 0.951579i | \(-0.400540\pi\) |
−0.883743 | + | 0.467973i | \(0.844984\pi\) | |||||||
\(480\) | −0.979055 | − | 1.16679i | −0.0446876 | − | 0.0532566i | ||||
\(481\) | 0.0273411 | + | 0.155059i | 0.00124665 | + | 0.00707010i | ||||
\(482\) | −4.35844 | + | 3.65717i | −0.198522 | + | 0.166579i | ||||
\(483\) | −3.37346 | − | 9.26849i | −0.153498 | − | 0.421731i | ||||
\(484\) | 6.33275 | − | 2.30493i | 0.287852 | − | 0.104770i | ||||
\(485\) | −6.29860 | −0.286005 | ||||||||
\(486\) | −13.5000 | + | 7.79423i | −0.612372 | + | 0.353553i | ||||
\(487\) | −7.53714 | −0.341540 | −0.170770 | − | 0.985311i | \(-0.554626\pi\) | ||||
−0.170770 | + | 0.985311i | \(0.554626\pi\) | |||||||
\(488\) | 3.21941 | − | 1.17177i | 0.145736 | − | 0.0530435i | ||||
\(489\) | 5.31134 | + | 14.5928i | 0.240187 | + | 0.659908i | ||||
\(490\) | 0.673648 | − | 0.565258i | 0.0304323 | − | 0.0255358i | ||||
\(491\) | 1.03667 | + | 5.87927i | 0.0467845 | + | 0.265328i | 0.999223 | − | 0.0394014i | \(-0.0125451\pi\) |
−0.952439 | + | 0.304729i | \(0.901434\pi\) | |||||||
\(492\) | −6.00000 | − | 7.15052i | −0.270501 | − | 0.322370i | ||||
\(493\) | −4.96972 | − | 4.17009i | −0.223825 | − | 0.187811i | ||||
\(494\) | 0.354570 | − | 0.614134i | 0.0159529 | − | 0.0276312i | ||||
\(495\) | 4.17159 | − | 3.50038i | 0.187499 | − | 0.157330i | ||||
\(496\) | 1.32635 | + | 2.29731i | 0.0595550 | + | 0.103152i | ||||
\(497\) | −0.997474 | + | 5.65695i | −0.0447428 | + | 0.253749i | ||||
\(498\) | −5.44562 | − | 3.14403i | −0.244024 | − | 0.140887i | ||||
\(499\) | −35.9111 | − | 13.0706i | −1.60760 | − | 0.585119i | −0.626637 | − | 0.779312i | \(-0.715569\pi\) |
−0.980963 | + | 0.194193i | \(0.937791\pi\) | |||||||
\(500\) | 7.62449 | + | 2.77509i | 0.340977 | + | 0.124106i | ||||
\(501\) | 2.36500 | − | 1.36543i | 0.105660 | − | 0.0610031i | ||||
\(502\) | −2.24510 | + | 12.7326i | −0.100204 | + | 0.568283i | ||||
\(503\) | −5.44222 | − | 9.42620i | −0.242657 | − | 0.420293i | 0.718814 | − | 0.695203i | \(-0.244685\pi\) |
−0.961470 | + | 0.274909i | \(0.911352\pi\) | |||||||
\(504\) | 1.50000 | − | 2.59808i | 0.0668153 | − | 0.115728i | ||||
\(505\) | 1.09714 | − | 1.90031i | 0.0488223 | − | 0.0845626i | ||||
\(506\) | 9.00459 | + | 7.55574i | 0.400303 | + | 0.335894i | ||||
\(507\) | 7.62970 | − | 20.9624i | 0.338847 | − | 0.930974i | ||||
\(508\) | −2.13294 | − | 12.0965i | −0.0946340 | − | 0.536696i | ||||
\(509\) | −1.55644 | + | 1.30601i | −0.0689879 | + | 0.0578877i | −0.676630 | − | 0.736324i | \(-0.736560\pi\) |
0.607642 | + | 0.794211i | \(0.292116\pi\) | |||||||
\(510\) | 5.11721 | + | 0.902302i | 0.226594 | + | 0.0399546i | ||||
\(511\) | 11.6702 | − | 4.24762i | 0.516261 | − | 0.187904i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −9.18850 | + | 5.30498i | −0.405682 | + | 0.234221i | ||||
\(514\) | 29.2763 | 1.29132 | ||||||||
\(515\) | −0.838374 | + | 0.305143i | −0.0369432 | + | 0.0134462i | ||||
\(516\) | −2.15523 | + | 2.56850i | −0.0948787 | + | 0.113072i | ||||
\(517\) | −4.22984 | + | 3.54925i | −0.186028 | + | 0.156096i | ||||
\(518\) | 0.0787257 | + | 0.446476i | 0.00345901 | + | 0.0196170i | ||||
\(519\) | 32.7460 | − | 5.77401i | 1.43739 | − | 0.253451i | ||||
\(520\) | 0.233956 | + | 0.196312i | 0.0102596 | + | 0.00860885i | ||||
\(521\) | −17.9534 | + | 31.0961i | −0.786551 | + | 1.36235i | 0.141517 | + | 0.989936i | \(0.454802\pi\) |
−0.928068 | + | 0.372411i | \(0.878531\pi\) | |||||||
\(522\) | −0.990667 | + | 5.61835i | −0.0433603 | + | 0.245908i | ||||
\(523\) | 4.68139 | + | 8.10840i | 0.204703 | + | 0.354556i | 0.950038 | − | 0.312134i | \(-0.101044\pi\) |
−0.745335 | + | 0.666690i | \(0.767711\pi\) | |||||||
\(524\) | 0.386659 | − | 2.19285i | 0.0168913 | − | 0.0957952i | ||||
\(525\) | 7.32083i | 0.319507i | ||||||||
\(526\) | 6.56418 | + | 2.38917i | 0.286212 | + | 0.104173i | ||||
\(527\) | −8.50387 | − | 3.09516i | −0.370434 | − | 0.134827i | ||||
\(528\) | 3.57526i | 0.155593i | ||||||||
\(529\) | 1.63722 | − | 9.28515i | 0.0711836 | − | 0.403702i | ||||
\(530\) | −4.43717 | − | 7.68540i | −0.192738 | − | 0.333832i | ||||
\(531\) | −2.34936 | − | 1.97134i | −0.101953 | − | 0.0855490i | ||||
\(532\) | 1.02094 | − | 1.76833i | 0.0442636 | − | 0.0766667i | ||||
\(533\) | 1.43376 | + | 1.20307i | 0.0621032 | + | 0.0521107i | ||||
\(534\) | −32.0107 | + | 5.64436i | −1.38524 | + | 0.244255i | ||||
\(535\) | 1.72756 | + | 9.79747i | 0.0746889 | + | 0.423582i | ||||
\(536\) | −8.20961 | + | 6.88868i | −0.354601 | + | 0.297546i | ||||
\(537\) | −17.8935 | + | 21.3247i | −0.772162 | + | 0.920227i | ||||
\(538\) | 17.8341 | − | 6.49108i | 0.768882 | − | 0.279850i | ||||
\(539\) | −2.06418 | −0.0889104 | ||||||||
\(540\) | −1.56283 | − | 4.29385i | −0.0672537 | − | 0.184778i | ||||
\(541\) | −2.66313 | −0.114497 | −0.0572485 | − | 0.998360i | \(-0.518233\pi\) | ||||
−0.0572485 | + | 0.998360i | \(0.518233\pi\) | |||||||
\(542\) | 27.0663 | − | 9.85133i | 1.16260 | − | 0.423151i | ||||
\(543\) | −38.0822 | − | 6.71492i | −1.63426 | − | 0.288165i | ||||
\(544\) | −2.61334 | + | 2.19285i | −0.112046 | + | 0.0940178i | ||||
\(545\) | 1.94831 | + | 11.0494i | 0.0834565 | + | 0.473305i | ||||
\(546\) | −0.205737 | + | 0.565258i | −0.00880473 | + | 0.0241908i | ||||
\(547\) | −11.3543 | − | 9.52741i | −0.485476 | − | 0.407363i | 0.366926 | − | 0.930250i | \(-0.380410\pi\) |
−0.852402 | + | 0.522888i | \(0.824855\pi\) | |||||||
\(548\) | 3.20233 | − | 5.54660i | 0.136797 | − | 0.236939i | ||||
\(549\) | 10.2781 | 0.438657 | ||||||||
\(550\) | −4.36231 | − | 7.55574i | −0.186010 | − | 0.322178i | ||||
\(551\) | −0.674277 | + | 3.82402i | −0.0287252 | + | 0.162909i | ||||
\(552\) | 8.54189 | − | 4.93166i | 0.363567 | − | 0.209905i | ||||
\(553\) | 6.33750 | + | 2.30666i | 0.269498 | + | 0.0980892i | ||||
\(554\) | 22.1202 | + | 8.05110i | 0.939797 | + | 0.342058i | ||||
\(555\) | 0.598021 | + | 0.345268i | 0.0253846 | + | 0.0146558i | ||||
\(556\) | −3.80406 | + | 21.5739i | −0.161328 | + | 0.914938i | ||||
\(557\) | 8.58512 | + | 14.8699i | 0.363763 | + | 0.630057i | 0.988577 | − | 0.150717i | \(-0.0481584\pi\) |
−0.624814 | + | 0.780774i | \(0.714825\pi\) | |||||||
\(558\) | 1.38191 | + | 7.83721i | 0.0585010 | + | 0.331776i | ||||
\(559\) | 0.336152 | − | 0.582232i | 0.0142177 | − | 0.0246258i | ||||
\(560\) | 0.673648 | + | 0.565258i | 0.0284668 | + | 0.0238865i | ||||
\(561\) | −7.84002 | − | 9.34337i | −0.331006 | − | 0.394478i | ||||
\(562\) | 3.93464 | + | 22.3145i | 0.165973 | + | 0.941278i | ||||
\(563\) | 18.5458 | − | 15.5617i | 0.781611 | − | 0.655849i | −0.162043 | − | 0.986784i | \(-0.551808\pi\) |
0.943654 | + | 0.330935i | \(0.107364\pi\) | |||||||
\(564\) | 1.58466 | + | 4.35381i | 0.0667260 | + | 0.183328i | ||||
\(565\) | 15.0334 | − | 5.47172i | 0.632461 | − | 0.230197i | ||||
\(566\) | −9.00093 | −0.378337 | ||||||||
\(567\) | 6.89440 | − | 5.78509i | 0.289538 | − | 0.242951i | ||||
\(568\) | −5.74422 | −0.241022 | ||||||||
\(569\) | 10.7674 | − | 3.91901i | 0.451392 | − | 0.164293i | −0.106312 | − | 0.994333i | \(-0.533904\pi\) |
0.557705 | + | 0.830039i | \(0.311682\pi\) | |||||||
\(570\) | −1.06371 | − | 2.92252i | −0.0445539 | − | 0.122411i | ||||
\(571\) | −8.05169 | + | 6.75617i | −0.336953 | + | 0.282737i | −0.795526 | − | 0.605920i | \(-0.792805\pi\) |
0.458573 | + | 0.888657i | \(0.348361\pi\) | |||||||
\(572\) | −0.124485 | − | 0.705990i | −0.00520499 | − | 0.0295189i | ||||
\(573\) | −15.7763 | − | 18.8015i | −0.659065 | − | 0.785443i | ||||
\(574\) | 4.12836 | + | 3.46410i | 0.172314 | + | 0.144589i | ||||
\(575\) | −12.0346 | + | 20.8446i | −0.501878 | + | 0.869278i | ||||
\(576\) | 2.81908 | + | 1.02606i | 0.117462 | + | 0.0427525i | ||||
\(577\) | −2.52822 | − | 4.37900i | −0.105251 | − | 0.182300i | 0.808590 | − | 0.588373i | \(-0.200231\pi\) |
−0.913841 | + | 0.406073i | \(0.866898\pi\) | |||||||
\(578\) | −0.931074 | + | 5.28039i | −0.0387276 | + | 0.219635i | ||||
\(579\) | 14.5535 | + | 8.40247i | 0.604823 | + | 0.349195i | ||||
\(580\) | −1.57145 | − | 0.571962i | −0.0652510 | − | 0.0237494i | ||||
\(581\) | 3.41147 | + | 1.24168i | 0.141532 | + | 0.0515134i | ||||
\(582\) | 10.7438 | − | 6.20291i | 0.445343 | − | 0.257119i | ||||
\(583\) | −3.61721 | + | 20.5142i | −0.149810 | + | 0.849612i | ||||
\(584\) | 6.20961 | + | 10.7554i | 0.256955 | + | 0.445060i | ||||
\(585\) | 0.458111 | + | 0.793471i | 0.0189406 | + | 0.0328060i | ||||
\(586\) | −4.56283 | + | 7.90306i | −0.188489 | + | 0.326472i | ||||
\(587\) | 13.4684 | + | 11.3013i | 0.555899 | + | 0.466455i | 0.876933 | − | 0.480613i | \(-0.159586\pi\) |
−0.321033 | + | 0.947068i | \(0.604030\pi\) | |||||||
\(588\) | −0.592396 | + | 1.62760i | −0.0244300 | + | 0.0671209i | ||||
\(589\) | 0.940570 | + | 5.33424i | 0.0387555 | + | 0.219793i | ||||
\(590\) | 0.688663 | − | 0.577857i | 0.0283518 | − | 0.0237900i | ||||
\(591\) | 10.1047 | + | 1.78174i | 0.415653 | + | 0.0732908i | ||||
\(592\) | −0.426022 | + | 0.155059i | −0.0175094 | + | 0.00637290i | ||||
\(593\) | 12.7041 | 0.521694 | 0.260847 | − | 0.965380i | \(-0.415998\pi\) | ||||
0.260847 | + | 0.965380i | \(0.415998\pi\) | |||||||
\(594\) | −3.66843 | + | 10.0789i | −0.150518 | + | 0.413544i | ||||
\(595\) | −3.00000 | −0.122988 | ||||||||
\(596\) | −20.7528 | + | 7.55342i | −0.850069 | + | 0.309400i | ||||
\(597\) | 20.5591 | − | 24.5014i | 0.841429 | − | 1.00278i | ||||
\(598\) | −1.51501 | + | 1.27125i | −0.0619536 | + | 0.0519852i | ||||
\(599\) | 6.82594 | + | 38.7118i | 0.278900 | + | 1.58172i | 0.726293 | + | 0.687385i | \(0.241242\pi\) |
−0.447393 | + | 0.894338i | \(0.647647\pi\) | |||||||
\(600\) | −7.20961 | + | 1.27125i | −0.294331 | + | 0.0518985i | ||||
\(601\) | 25.5881 | + | 21.4710i | 1.04376 | + | 0.875819i | 0.992424 | − | 0.122862i | \(-0.0392072\pi\) |
0.0513372 | + | 0.998681i | \(0.483652\pi\) | |||||||
\(602\) | 0.967911 | − | 1.67647i | 0.0394491 | − | 0.0683279i | ||||
\(603\) | −30.2117 | + | 10.9962i | −1.23032 | + | 0.447799i | ||||
\(604\) | 8.99407 | + | 15.5782i | 0.365964 | + | 0.633867i | ||||
\(605\) | −1.02910 | + | 5.83629i | −0.0418387 | + | 0.237279i | ||||
\(606\) | 4.32190i | 0.175565i | ||||||||
\(607\) | −38.8482 | − | 14.1396i | −1.57680 | − | 0.573909i | −0.602296 | − | 0.798273i | \(-0.705747\pi\) |
−0.974505 | + | 0.224364i | \(0.927969\pi\) | |||||||
\(608\) | 1.91875 | + | 0.698367i | 0.0778155 | + | 0.0283225i | ||||
\(609\) | − | 3.29380i | − | 0.133471i | ||||||
\(610\) | −0.523166 | + | 2.96702i | −0.0211824 | + | 0.120131i | ||||
\(611\) | −0.464508 | − | 0.804551i | −0.0187920 | − | 0.0325486i | ||||
\(612\) | −9.61721 | + | 3.50038i | −0.388753 | + | 0.141494i | ||||
\(613\) | −3.52528 | + | 6.10597i | −0.142385 | + | 0.246618i | −0.928394 | − | 0.371597i | \(-0.878810\pi\) |
0.786009 | + | 0.618215i | \(0.212144\pi\) | |||||||
\(614\) | 8.72849 | + | 7.32407i | 0.352253 | + | 0.295576i | ||||
\(615\) | 8.08378 | − | 1.42539i | 0.325969 | − | 0.0574772i | ||||
\(616\) | −0.358441 | − | 2.03282i | −0.0144420 | − | 0.0819046i | ||||
\(617\) | 33.8011 | − | 28.3625i | 1.36078 | − | 1.14183i | 0.385042 | − | 0.922899i | \(-0.374187\pi\) |
0.975740 | − | 0.218933i | \(-0.0702575\pi\) | |||||||
\(618\) | 1.12954 | − | 1.34613i | 0.0454367 | − | 0.0541493i | ||||
\(619\) | 36.0621 | − | 13.1255i | 1.44946 | − | 0.527560i | 0.507019 | − | 0.861935i | \(-0.330747\pi\) |
0.942440 | + | 0.334375i | \(0.108525\pi\) | |||||||
\(620\) | −2.33275 | −0.0936854 | ||||||||
\(621\) | 29.1404 | − | 5.13824i | 1.16937 | − | 0.206191i | ||||
\(622\) | 2.27631 | 0.0912718 | ||||||||
\(623\) | 17.6348 | − | 6.41852i | 0.706521 | − | 0.257153i | ||||
\(624\) | −0.592396 | − | 0.104455i | −0.0237148 | − | 0.00418156i | ||||
\(625\) | 10.7233 | − | 8.99790i | 0.428931 | − | 0.359916i | ||||
\(626\) | −0.253718 | − | 1.43891i | −0.0101406 | − | 0.0575103i | ||||
\(627\) | −2.49684 | + | 6.86002i | −0.0997144 | + | 0.273963i | ||||
\(628\) | 15.0235 | + | 12.6062i | 0.599502 | + | 0.503042i | ||||
\(629\) | 0.773318 | − | 1.33943i | 0.0308342 | − | 0.0534064i | ||||
\(630\) | 1.31908 | + | 2.28471i | 0.0525533 | + | 0.0910250i | ||||
\(631\) | −16.6755 | − | 28.8827i | −0.663840 | − | 1.14980i | −0.979599 | − | 0.200964i | \(-0.935592\pi\) |
0.315759 | − | 0.948839i | \(-0.397741\pi\) | |||||||
\(632\) | −1.17112 | + | 6.64176i | −0.0465847 | + | 0.264195i | ||||
\(633\) | −27.7995 | + | 16.0501i | −1.10493 | + | 0.637933i | ||||
\(634\) | 0.393056 | + | 0.143061i | 0.0156102 | + | 0.00568166i | ||||
\(635\) | 10.1502 | + | 3.69436i | 0.402798 | + | 0.146606i | ||||
\(636\) | 15.1373 | + | 8.73951i | 0.600232 | + | 0.346544i | ||||
\(637\) | 0.0603074 | − | 0.342020i | 0.00238947 | − | 0.0135513i | ||||
\(638\) | 1.96270 | + | 3.39949i | 0.0777039 | + | 0.134587i | ||||
\(639\) | −16.1934 | − | 5.89392i | −0.640601 | − | 0.233160i | ||||
\(640\) | −0.439693 | + | 0.761570i | −0.0173804 | + | 0.0301037i | ||||
\(641\) | −31.3601 | − | 26.3142i | −1.23865 | − | 1.03935i | −0.997628 | − | 0.0688300i | \(-0.978073\pi\) |
−0.241021 | − | 0.970520i | \(-0.577482\pi\) | |||||||
\(642\) | −12.5954 | − | 15.0106i | −0.497100 | − | 0.592421i | ||||
\(643\) | −6.21869 | − | 35.2680i | −0.245241 | − | 1.39083i | −0.819932 | − | 0.572461i | \(-0.805989\pi\) |
0.574690 | − | 0.818371i | \(-0.305123\pi\) | |||||||
\(644\) | −4.36231 | + | 3.66041i | −0.171899 | + | 0.144241i | ||||
\(645\) | −1.00846 | − | 2.77071i | −0.0397079 | − | 0.109097i | ||||
\(646\) | −6.54576 | + | 2.38246i | −0.257539 | + | 0.0937367i | ||||
\(647\) | −34.1388 | −1.34213 | −0.671067 | − | 0.741397i | \(-0.734164\pi\) | ||||
−0.671067 | + | 0.741397i | \(0.734164\pi\) | |||||||
\(648\) | 6.89440 | + | 5.78509i | 0.270838 | + | 0.227260i | ||||
\(649\) | −2.11019 | −0.0828320 | ||||||||
\(650\) | 1.37939 | − | 0.502055i | 0.0541039 | − | 0.0196922i | ||||
\(651\) | −1.57145 | − | 4.31753i | −0.0615900 | − | 0.169217i | ||||
\(652\) | 6.86824 | − | 5.76314i | 0.268981 | − | 0.225702i | ||||
\(653\) | 6.90003 | + | 39.1320i | 0.270019 | + | 1.53135i | 0.754352 | + | 0.656470i | \(0.227951\pi\) |
−0.484334 | + | 0.874883i | \(0.660938\pi\) | |||||||
\(654\) | −14.2049 | − | 16.9287i | −0.555454 | − | 0.661964i | ||||
\(655\) | 1.50000 | + | 1.25865i | 0.0586098 | + | 0.0491795i | ||||
\(656\) | −2.69459 | + | 4.66717i | −0.105206 | + | 0.182222i | ||||
\(657\) | 6.46972 | + | 36.6916i | 0.252408 | + | 1.43148i | ||||
\(658\) | −1.33750 | − | 2.31661i | −0.0521410 | − | 0.0903109i | ||||
\(659\) | 2.76563 | − | 15.6847i | 0.107734 | − | 0.610989i | −0.882359 | − | 0.470576i | \(-0.844046\pi\) |
0.990093 | − | 0.140412i | \(-0.0448428\pi\) | |||||||
\(660\) | −2.72281 | − | 1.57202i | −0.105985 | − | 0.0611906i | ||||
\(661\) | 6.12836 | + | 2.23054i | 0.238365 | + | 0.0867579i | 0.458441 | − | 0.888725i | \(-0.348408\pi\) |
−0.220075 | + | 0.975483i | \(0.570630\pi\) | |||||||
\(662\) | −10.7233 | − | 3.90295i | −0.416772 | − | 0.151693i | ||||
\(663\) | 1.77719 | − | 1.02606i | 0.0690203 | − | 0.0398489i | ||||
\(664\) | −0.630415 | + | 3.57526i | −0.0244648 | + | 0.138747i | ||||
\(665\) | 0.897804 | + | 1.55504i | 0.0348153 | + | 0.0603019i | ||||
\(666\) | −1.36009 | −0.0527024 | ||||||||
\(667\) | 5.41463 | − | 9.37841i | 0.209655 | − | 0.363134i | ||||
\(668\) | −1.20780 | − | 1.01346i | −0.0467310 | − | 0.0392120i | ||||
\(669\) | 6.22652 | − | 17.1072i | 0.240731 | − | 0.661403i | ||||
\(670\) | −1.63651 | − | 9.28109i | −0.0632238 | − | 0.358560i | ||||
\(671\) | 5.41740 | − | 4.54574i | 0.209137 | − | 0.175486i | ||||
\(672\) | −1.70574 | − | 0.300767i | −0.0658002 | − | 0.0116024i | ||||
\(673\) | −15.3500 | + | 5.58694i | −0.591698 | + | 0.215361i | −0.620476 | − | 0.784225i | \(-0.713061\pi\) |
0.0287778 | + | 0.999586i | \(0.490838\pi\) | |||||||
\(674\) | −24.9067 | −0.959371 | ||||||||
\(675\) | −21.6288 | − | 3.81374i | −0.832494 | − | 0.146791i | ||||
\(676\) | −12.8794 | −0.495361 | ||||||||
\(677\) | 1.68092 | − | 0.611806i | 0.0646031 | − | 0.0235136i | −0.309516 | − | 0.950894i | \(-0.600167\pi\) |
0.374120 | + | 0.927380i | \(0.377945\pi\) | |||||||
\(678\) | −20.2545 | + | 24.1384i | −0.777869 | + | 0.927028i | ||||
\(679\) | −5.48680 | + | 4.60397i | −0.210564 | + | 0.176684i | ||||
\(680\) | −0.520945 | − | 2.95442i | −0.0199773 | − | 0.113297i | ||||
\(681\) | −21.8391 | + | 3.85083i | −0.836878 | + | 0.147564i | ||||
\(682\) | 4.19459 | + | 3.51968i | 0.160619 | + | 0.134776i | ||||
\(683\) | −7.89306 | + | 13.6712i | −0.302019 | + | 0.523113i | −0.976593 | − | 0.215094i | \(-0.930994\pi\) |
0.674574 | + | 0.738207i | \(0.264327\pi\) | |||||||
\(684\) | 4.69253 | + | 3.93750i | 0.179423 | + | 0.150554i | ||||
\(685\) | 2.81608 | + | 4.87760i | 0.107597 | + | 0.186364i | ||||
\(686\) | 0.173648 | − | 0.984808i | 0.00662992 | − | 0.0376001i | ||||
\(687\) | − | 17.9828i | − | 0.686087i | ||||||
\(688\) | 1.81908 | + | 0.662090i | 0.0693517 | + | 0.0252420i | ||||
\(689\) | −3.29339 | − | 1.19869i | −0.125468 | − | 0.0456666i | ||||
\(690\) | 8.67366i | 0.330201i | ||||||||
\(691\) | −2.74376 | + | 15.5606i | −0.104377 | + | 0.591954i | 0.887090 | + | 0.461597i | \(0.152723\pi\) |
−0.991467 | + | 0.130357i | \(0.958388\pi\) | |||||||
\(692\) | −9.59879 | − | 16.6256i | −0.364891 | − | 0.632010i | ||||
\(693\) | 1.07532 | − | 6.09845i | 0.0408481 | − | 0.231661i | ||||
\(694\) | 5.89053 | − | 10.2027i | 0.223601 | − | 0.387289i | ||||
\(695\) | −14.7574 | − | 12.3830i | −0.559781 | − | 0.469712i | ||||
\(696\) | 3.24376 | − | 0.571962i | 0.122954 | − | 0.0216802i | ||||
\(697\) | −3.19253 | − | 18.1058i | −0.120926 | − | 0.685804i | ||||
\(698\) | −17.7986 | + | 14.9348i | −0.673687 | + | 0.565290i | ||||
\(699\) | −4.45636 | + | 5.31088i | −0.168555 | + | 0.200876i | ||||
\(700\) | 3.97178 | − | 1.44561i | 0.150119 | − | 0.0546389i | ||||
\(701\) | 29.6705 | 1.12064 | 0.560321 | − | 0.828276i | \(-0.310678\pi\) | ||||
0.560321 | + | 0.828276i | \(0.310678\pi\) | |||||||
\(702\) | −1.56283 | − | 0.902302i | −0.0589854 | − | 0.0340552i | ||||
\(703\) | −0.925717 | −0.0349141 | ||||||||
\(704\) | 1.93969 | − | 0.705990i | 0.0731049 | − | 0.0266080i | ||||
\(705\) | −4.01249 | − | 0.707510i | −0.151119 | − | 0.0266464i | ||||
\(706\) | 7.91147 | − | 6.63852i | 0.297752 | − | 0.249844i | ||||
\(707\) | −0.433296 | − | 2.45734i | −0.0162958 | − | 0.0924179i | ||||
\(708\) | −0.605600 | + | 1.66387i | −0.0227598 | + | 0.0625322i | ||||
\(709\) | −8.70574 | − | 7.30498i | −0.326951 | − | 0.274344i | 0.464505 | − | 0.885570i | \(-0.346232\pi\) |
−0.791456 | + | 0.611226i | \(0.790677\pi\) | |||||||
\(710\) | 2.52569 | − | 4.37463i | 0.0947875 | − | 0.164177i | ||||
\(711\) | −10.1163 | + | 17.5220i | −0.379392 | + | 0.657126i | ||||
\(712\) | 9.38326 | + | 16.2523i | 0.351652 | + | 0.609080i | ||||
\(713\) | 2.62314 | − | 14.8766i | 0.0982374 | − | 0.557132i | ||||
\(714\) | 5.11721 | − | 2.95442i | 0.191507 | − | 0.110567i | ||||
\(715\) | 0.592396 | + | 0.215615i | 0.0221544 | + | 0.00806353i | ||||
\(716\) | 15.1027 | + | 5.49692i | 0.564413 | + | 0.205430i | ||||
\(717\) | 32.0223 | + | 18.4881i | 1.19590 | + | 0.690451i | ||||
\(718\) | 0.897804 | − | 5.09170i | 0.0335057 | − | 0.190020i | ||||
\(719\) | −19.5940 | − | 33.9379i | −0.730735 | − | 1.26567i | −0.956570 | − | 0.291504i | \(-0.905844\pi\) |
0.225835 | − | 0.974166i | \(-0.427489\pi\) | |||||||
\(720\) | −2.02094 | + | 1.69577i | −0.0753162 | + | 0.0631978i | ||||
\(721\) | −0.507274 | + | 0.878624i | −0.0188919 | + | 0.0327217i | ||||
\(722\) | −11.3610 | − | 9.53298i | −0.422811 | − | 0.354781i | ||||
\(723\) | 6.33440 | + | 7.54904i | 0.235579 | + | 0.280752i | ||||
\(724\) | 3.87686 | + | 21.9868i | 0.144082 | + | 0.817132i | ||||
\(725\) | −6.15729 | + | 5.16658i | −0.228676 | + | 0.191882i | ||||
\(726\) | −3.99226 | − | 10.9686i | −0.148167 | − | 0.407084i | ||||
\(727\) | 41.9752 | − | 15.2777i | 1.55678 | − | 0.566620i | 0.586781 | − | 0.809746i | \(-0.300395\pi\) |
0.969995 | + | 0.243126i | \(0.0781728\pi\) | |||||||
\(728\) | 0.347296 | 0.0128717 | ||||||||
\(729\) | 13.5000 | + | 23.3827i | 0.500000 | + | 0.866025i | ||||
\(730\) | −10.9213 | −0.404214 | ||||||||
\(731\) | −6.20574 | + | 2.25870i | −0.229527 | + | 0.0835412i | ||||
\(732\) | −2.02956 | − | 5.57618i | −0.0750148 | − | 0.206101i | ||||
\(733\) | 25.5633 | − | 21.4502i | 0.944202 | − | 0.792280i | −0.0341096 | − | 0.999418i | \(-0.510860\pi\) |
0.978312 | + | 0.207139i | \(0.0664151\pi\) | |||||||
\(734\) | 2.55216 | + | 14.4740i | 0.0942018 | + | 0.534245i | ||||
\(735\) | −0.979055 | − | 1.16679i | −0.0361130 | − | 0.0430378i | ||||
\(736\) | −4.36231 | − | 3.66041i | −0.160797 | − | 0.134925i | ||||
\(737\) | −11.0608 | + | 19.1578i | −0.407429 | + | 0.705687i | ||||
\(738\) | −12.3851 | + | 10.3923i | −0.455901 | + | 0.382546i | ||||
\(739\) | 3.22921 | + | 5.59315i | 0.118788 | + | 0.205747i | 0.919288 | − | 0.393586i | \(-0.128766\pi\) |
−0.800499 | + | 0.599334i | \(0.795432\pi\) | |||||||
\(740\) | 0.0692302 | − | 0.392624i | 0.00254495 | − | 0.0144331i | ||||
\(741\) | −1.06371 | − | 0.614134i | −0.0390764 | − | 0.0225608i | ||||
\(742\) | −9.48293 | − | 3.45150i | −0.348129 | − | 0.126709i | ||||
\(743\) | 16.5342 | + | 6.01796i | 0.606581 | + | 0.220777i | 0.627007 | − | 0.779014i | \(-0.284280\pi\) |
−0.0204255 | + | 0.999791i | \(0.506502\pi\) | |||||||
\(744\) | 3.97906 | − | 2.29731i | 0.145879 | − | 0.0842234i | ||||
\(745\) | 3.37242 | − | 19.1259i | 0.123556 | − | 0.700720i | ||||
\(746\) | 5.52094 | + | 9.56256i | 0.202136 | + | 0.350110i | ||||
\(747\) | −5.44562 | + | 9.43209i | −0.199245 | + | 0.345102i | ||||
\(748\) | −3.52094 | + | 6.09845i | −0.128738 | + | 0.222982i | ||||
\(749\) | 8.66637 | + | 7.27195i | 0.316662 | + | 0.265711i | ||||
\(750\) | 4.80659 | − | 13.2060i | 0.175512 | − | 0.482215i | ||||
\(751\) | −2.54024 | − | 14.4064i | −0.0926947 | − | 0.525698i | −0.995429 | − | 0.0955001i | \(-0.969555\pi\) |
0.902735 | − | 0.430198i | \(-0.141556\pi\) | |||||||
\(752\) | 2.04916 | − | 1.71945i | 0.0747253 | − | 0.0627020i | ||||
\(753\) | 22.0535 | + | 3.88863i | 0.803674 | + | 0.141709i | ||||
\(754\) | −0.620615 | + | 0.225885i | −0.0226015 | + | 0.00822626i | ||||
\(755\) | −15.8185 | −0.575694 | ||||||||
\(756\) | −4.50000 | − | 2.59808i | −0.163663 | − | 0.0944911i | ||||
\(757\) | −14.7692 | −0.536796 | −0.268398 | − | 0.963308i | \(-0.586494\pi\) | ||||
−0.268398 | + | 0.963308i | \(0.586494\pi\) | |||||||
\(758\) | 4.48545 | − | 1.63257i | 0.162919 | − | 0.0592977i | ||||
\(759\) | 13.0869 | − | 15.5964i | 0.475026 | − | 0.566113i | ||||
\(760\) | −1.37551 | + | 1.15419i | −0.0498952 | + | 0.0418670i | ||||
\(761\) | −3.67768 | − | 20.8572i | −0.133316 | − | 0.756072i | −0.976018 | − | 0.217691i | \(-0.930147\pi\) |
0.842702 | − | 0.538380i | \(-0.180964\pi\) | |||||||
\(762\) | −20.9518 | + | 3.69436i | −0.759003 | + | 0.133833i | ||||
\(763\) | 9.77379 | + | 8.20118i | 0.353835 | + | 0.296903i | ||||
\(764\) | −7.08512 | + | 12.2718i | −0.256331 | + | 0.443978i | ||||
\(765\) | 1.56283 | − | 8.86327i | 0.0565044 | − | 0.320452i | ||||
\(766\) |