Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [539,2,Mod(214,539)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(539, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("539.214");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 539 = 7^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 539.q (of order \(15\), degree \(8\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.30393666895\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{15})\) |
Twist minimal: | no (minimal twist has level 77) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 324.2 | ||
Character | \(\chi\) | \(=\) | 539.324 |
Dual form | 539.2.q.f.361.2 |
$q$-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 \(\left(\mathbb{Z}/539\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(442\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{2}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.655108 | − | 0.139248i | −0.463232 | − | 0.0984629i | −0.0296169 | − | 0.999561i | \(-0.509429\pi\) |
−0.433615 | + | 0.901098i | \(0.642762\pi\) | |||||||
\(3\) | 0.328196 | − | 3.12257i | 0.189484 | − | 1.80282i | −0.325419 | − | 0.945570i | \(-0.605505\pi\) |
0.514903 | − | 0.857249i | \(-0.327828\pi\) | |||||||
\(4\) | −1.41731 | − | 0.631029i | −0.708657 | − | 0.315514i | ||||
\(5\) | −1.43447 | − | 1.59314i | −0.641514 | − | 0.712473i | 0.331439 | − | 0.943477i | \(-0.392466\pi\) |
−0.972953 | + | 0.231004i | \(0.925799\pi\) | |||||||
\(6\) | −0.649815 | + | 1.99992i | −0.265286 | + | 0.816465i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 1.92429 | + | 1.39808i | 0.680340 | + | 0.494296i | ||||
\(9\) | −6.70831 | − | 1.42589i | −2.23610 | − | 0.475298i | ||||
\(10\) | 0.717891 | + | 1.24342i | 0.227017 | + | 0.393205i | ||||
\(11\) | −2.17218 | + | 2.50631i | −0.654938 | + | 0.755682i | ||||
\(12\) | −2.43559 | + | 4.21857i | −0.703094 | + | 1.21779i | ||||
\(13\) | −0.781276 | − | 2.40452i | −0.216687 | − | 0.666894i | −0.999030 | − | 0.0440455i | \(-0.985975\pi\) |
0.782343 | − | 0.622848i | \(-0.214025\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −5.44548 | + | 3.95637i | −1.40602 | + | 1.02153i | ||||
\(16\) | 1.01029 | + | 1.12205i | 0.252574 | + | 0.280512i | ||||
\(17\) | −1.75178 | + | 0.372353i | −0.424870 | + | 0.0903089i | −0.415384 | − | 0.909646i | \(-0.636353\pi\) |
−0.00948587 | + | 0.999955i | \(0.503019\pi\) | |||||||
\(18\) | 4.19612 | + | 1.86823i | 0.989034 | + | 0.440346i | ||||
\(19\) | 6.14579 | − | 2.73628i | 1.40994 | − | 0.627746i | 0.446284 | − | 0.894891i | \(-0.352747\pi\) |
0.963656 | + | 0.267146i | \(0.0860805\pi\) | |||||||
\(20\) | 1.02778 | + | 3.16317i | 0.229818 | + | 0.707306i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.77201 | − | 1.33944i | 0.377795 | − | 0.285569i | ||||
\(23\) | 1.58214 | − | 2.74035i | 0.329900 | − | 0.571403i | −0.652592 | − | 0.757709i | \(-0.726318\pi\) |
0.982492 | + | 0.186307i | \(0.0596518\pi\) | |||||||
\(24\) | 4.99715 | − | 5.54990i | 1.02004 | − | 1.13287i | ||||
\(25\) | 0.0422518 | − | 0.401999i | 0.00845037 | − | 0.0803999i | ||||
\(26\) | 0.176997 | + | 1.68401i | 0.0347119 | + | 0.330262i | ||||
\(27\) | −3.74337 | + | 11.5209i | −0.720412 | + | 2.21720i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.747669 | − | 0.543213i | 0.138839 | − | 0.100872i | −0.516198 | − | 0.856469i | \(-0.672653\pi\) |
0.655037 | + | 0.755597i | \(0.272653\pi\) | |||||||
\(30\) | 4.11829 | − | 1.83358i | 0.751894 | − | 0.334765i | ||||
\(31\) | −2.00858 | + | 2.23076i | −0.360752 | + | 0.400656i | −0.896011 | − | 0.444032i | \(-0.853548\pi\) |
0.535258 | + | 0.844688i | \(0.320214\pi\) | |||||||
\(32\) | −2.88417 | − | 4.99553i | −0.509854 | − | 0.883092i | ||||
\(33\) | 7.11325 | + | 7.60537i | 1.23826 | + | 1.32392i | ||||
\(34\) | 1.19946 | 0.205705 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 8.60800 | + | 6.25408i | 1.43467 | + | 1.04235i | ||||
\(37\) | 0.157543 | + | 1.49892i | 0.0258999 | + | 0.246421i | 0.999810 | + | 0.0194875i | \(0.00620346\pi\) |
−0.973910 | + | 0.226934i | \(0.927130\pi\) | |||||||
\(38\) | −4.40718 | + | 0.936774i | −0.714938 | + | 0.151965i | ||||
\(39\) | −7.76470 | + | 1.65044i | −1.24335 | + | 0.264282i | ||||
\(40\) | −0.533001 | − | 5.07117i | −0.0842749 | − | 0.801822i | ||||
\(41\) | 4.49897 | + | 3.26870i | 0.702622 | + | 0.510485i | 0.880785 | − | 0.473516i | \(-0.157016\pi\) |
−0.178163 | + | 0.984001i | \(0.557016\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −8.42985 | −1.28554 | −0.642770 | − | 0.766059i | \(-0.722215\pi\) | ||||
−0.642770 | + | 0.766059i | \(0.722215\pi\) | |||||||
\(44\) | 4.66022 | − | 2.18152i | 0.702555 | − | 0.328877i | ||||
\(45\) | 7.35120 | + | 12.7327i | 1.09585 | + | 1.89807i | ||||
\(46\) | −1.41806 | + | 1.57492i | −0.209082 | + | 0.232209i | ||||
\(47\) | −4.01751 | + | 1.78871i | −0.586013 | + | 0.260910i | −0.678255 | − | 0.734827i | \(-0.737263\pi\) |
0.0922416 | + | 0.995737i | \(0.470597\pi\) | |||||||
\(48\) | 3.83525 | − | 2.78647i | 0.553570 | − | 0.402192i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −0.0836570 | + | 0.257470i | −0.0118309 | + | 0.0364117i | ||||
\(51\) | 0.587772 | + | 5.59228i | 0.0823046 | + | 0.783076i | ||||
\(52\) | −0.410008 | + | 3.90097i | −0.0568579 | + | 0.540967i | ||||
\(53\) | 0.446592 | − | 0.495990i | 0.0613441 | − | 0.0681295i | −0.711692 | − | 0.702492i | \(-0.752071\pi\) |
0.773036 | + | 0.634362i | \(0.218737\pi\) | |||||||
\(54\) | 4.05657 | − | 7.02619i | 0.552029 | − | 0.956143i | ||||
\(55\) | 7.10883 | − | 0.134639i | 0.958555 | − | 0.0181547i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −6.52722 | − | 20.0887i | −0.864551 | − | 2.66081i | ||||
\(58\) | −0.565445 | + | 0.251753i | −0.0742466 | + | 0.0330567i | ||||
\(59\) | 0.336514 | + | 0.149826i | 0.0438104 | + | 0.0195056i | 0.428525 | − | 0.903530i | \(-0.359033\pi\) |
−0.384715 | + | 0.923036i | \(0.625700\pi\) | |||||||
\(60\) | 10.2145 | − | 2.17117i | 1.31869 | − | 0.280296i | ||||
\(61\) | −3.35334 | − | 3.72426i | −0.429351 | − | 0.476843i | 0.489185 | − | 0.872180i | \(-0.337294\pi\) |
−0.918536 | + | 0.395337i | \(0.870628\pi\) | |||||||
\(62\) | 1.62647 | − | 1.18170i | 0.206562 | − | 0.150076i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.260682 | + | 0.802296i | 0.0325852 | + | 0.100287i | ||||
\(65\) | −2.71002 | + | 4.69389i | −0.336136 | + | 0.582205i | ||||
\(66\) | −3.60092 | − | 5.97284i | −0.443243 | − | 0.735206i | ||||
\(67\) | 0.451065 | + | 0.781267i | 0.0551063 | + | 0.0954469i | 0.892263 | − | 0.451517i | \(-0.149117\pi\) |
−0.837156 | + | 0.546964i | \(0.815784\pi\) | |||||||
\(68\) | 2.71779 | + | 0.577685i | 0.329581 | + | 0.0700546i | ||||
\(69\) | −8.03770 | − | 5.83973i | −0.967625 | − | 0.703021i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −4.59489 | + | 14.1416i | −0.545313 | + | 1.67830i | 0.174932 | + | 0.984580i | \(0.444029\pi\) |
−0.720245 | + | 0.693720i | \(0.755971\pi\) | |||||||
\(72\) | −10.9152 | − | 12.1226i | −1.28637 | − | 1.42866i | ||||
\(73\) | −7.34322 | − | 3.26941i | −0.859459 | − | 0.382656i | −0.0708031 | − | 0.997490i | \(-0.522556\pi\) |
−0.788656 | + | 0.614834i | \(0.789223\pi\) | |||||||
\(74\) | 0.105514 | − | 1.00389i | 0.0122657 | − | 0.116700i | ||||
\(75\) | −1.24141 | − | 0.263869i | −0.143345 | − | 0.0304690i | ||||
\(76\) | −10.4372 | −1.19723 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 5.31654 | 0.601980 | ||||||||
\(79\) | −3.96803 | − | 0.843431i | −0.446438 | − | 0.0948934i | −0.0207937 | − | 0.999784i | \(-0.506619\pi\) |
−0.425645 | + | 0.904890i | \(0.639953\pi\) | |||||||
\(80\) | 0.338339 | − | 3.21908i | 0.0378274 | − | 0.359904i | ||||
\(81\) | 15.9505 | + | 7.10164i | 1.77228 | + | 0.789071i | ||||
\(82\) | −2.49216 | − | 2.76782i | −0.275213 | − | 0.305655i | ||||
\(83\) | 1.25193 | − | 3.85305i | 0.137418 | − | 0.422928i | −0.858541 | − | 0.512745i | \(-0.828628\pi\) |
0.995958 | + | 0.0898178i | \(0.0286285\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.10609 | + | 2.25670i | 0.336902 | + | 0.244774i | ||||
\(86\) | 5.52246 | + | 1.17384i | 0.595503 | + | 0.126578i | ||||
\(87\) | −1.45084 | − | 2.51293i | −0.155547 | − | 0.269415i | ||||
\(88\) | −7.68395 | + | 1.78600i | −0.819112 | + | 0.190388i | ||||
\(89\) | −4.15363 | + | 7.19431i | −0.440284 | + | 0.762595i | −0.997710 | − | 0.0676317i | \(-0.978456\pi\) |
0.557426 | + | 0.830227i | \(0.311789\pi\) | |||||||
\(90\) | −3.04284 | − | 9.36491i | −0.320744 | − | 0.987148i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −3.97163 | + | 2.88556i | −0.414071 | + | 0.300840i | ||||
\(93\) | 6.30650 | + | 7.00408i | 0.653954 | + | 0.726289i | ||||
\(94\) | 2.88097 | − | 0.612370i | 0.297150 | − | 0.0631611i | ||||
\(95\) | −13.1752 | − | 5.86598i | −1.35175 | − | 0.601837i | ||||
\(96\) | −16.5455 | + | 7.36652i | −1.68866 | + | 0.751842i | ||||
\(97\) | −2.63154 | − | 8.09904i | −0.267192 | − | 0.822333i | −0.991180 | − | 0.132520i | \(-0.957693\pi\) |
0.723988 | − | 0.689812i | \(-0.242307\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 18.1454 | − | 13.7158i | 1.82368 | − | 1.37849i | ||||
\(100\) | −0.313557 | + | 0.543097i | −0.0313557 | + | 0.0543097i | ||||
\(101\) | 2.69463 | − | 2.99269i | 0.268126 | − | 0.297784i | −0.594013 | − | 0.804455i | \(-0.702457\pi\) |
0.862140 | + | 0.506671i | \(0.169124\pi\) | |||||||
\(102\) | 0.393657 | − | 3.74539i | 0.0389778 | − | 0.370849i | ||||
\(103\) | −1.84240 | − | 17.5293i | −0.181537 | − | 1.72721i | −0.583982 | − | 0.811767i | \(-0.698506\pi\) |
0.402445 | − | 0.915444i | \(-0.368161\pi\) | |||||||
\(104\) | 1.85831 | − | 5.71929i | 0.182222 | − | 0.560822i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.361631 | + | 0.262741i | −0.0351248 | + | 0.0255196i | ||||
\(107\) | −14.0720 | + | 6.26526i | −1.36039 | + | 0.605685i | −0.951712 | − | 0.306992i | \(-0.900677\pi\) |
−0.408680 | + | 0.912678i | \(0.634011\pi\) | |||||||
\(108\) | 12.5756 | − | 13.9666i | 1.21008 | − | 1.34393i | ||||
\(109\) | 9.46326 | + | 16.3908i | 0.906416 | + | 1.56996i | 0.819005 | + | 0.573786i | \(0.194526\pi\) |
0.0874110 | + | 0.996172i | \(0.472141\pi\) | |||||||
\(110\) | −4.67580 | − | 0.901685i | −0.445821 | − | 0.0859723i | ||||
\(111\) | 4.73220 | 0.449161 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −1.35965 | − | 0.987844i | −0.127905 | − | 0.0929286i | 0.521993 | − | 0.852950i | \(-0.325189\pi\) |
−0.649898 | + | 0.760021i | \(0.725189\pi\) | |||||||
\(114\) | 1.47873 | + | 14.0692i | 0.138496 | + | 1.31770i | ||||
\(115\) | −6.63529 | + | 1.41037i | −0.618744 | + | 0.131518i | ||||
\(116\) | −1.40247 | + | 0.298103i | −0.130216 | + | 0.0276782i | ||||
\(117\) | 1.81245 | + | 17.2443i | 0.167561 | + | 1.59423i | ||||
\(118\) | −0.199590 | − | 0.145011i | −0.0183738 | − | 0.0133493i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −16.0100 | −1.46151 | ||||||||
\(121\) | −1.56323 | − | 10.8884i | −0.142112 | − | 0.989851i | ||||
\(122\) | 1.67821 | + | 2.90674i | 0.151938 | + | 0.263164i | ||||
\(123\) | 11.6833 | − | 12.9756i | 1.05345 | − | 1.16997i | ||||
\(124\) | 4.25447 | − | 1.89421i | 0.382063 | − | 0.170105i | ||||
\(125\) | −9.37282 | + | 6.80975i | −0.838330 | + | 0.609082i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 5.42848 | − | 16.7071i | 0.481699 | − | 1.48252i | −0.355006 | − | 0.934864i | \(-0.615521\pi\) |
0.836705 | − | 0.547654i | \(-0.184479\pi\) | |||||||
\(128\) | 1.14685 | + | 10.9116i | 0.101368 | + | 0.964457i | ||||
\(129\) | −2.76664 | + | 26.3228i | −0.243589 | + | 2.31759i | ||||
\(130\) | 2.42897 | − | 2.69764i | 0.213035 | − | 0.236599i | ||||
\(131\) | 3.36278 | − | 5.82451i | 0.293808 | − | 0.508890i | −0.680899 | − | 0.732377i | \(-0.738411\pi\) |
0.974707 | + | 0.223487i | \(0.0717441\pi\) | |||||||
\(132\) | −5.28250 | − | 15.2679i | −0.459783 | − | 1.32890i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −0.186707 | − | 0.574624i | −0.0161290 | − | 0.0496400i | ||||
\(135\) | 23.7241 | − | 10.5627i | 2.04185 | − | 0.909089i | ||||
\(136\) | −3.89153 | − | 1.73262i | −0.333696 | − | 0.148571i | ||||
\(137\) | −13.5646 | + | 2.88324i | −1.15890 | + | 0.246332i | −0.746954 | − | 0.664876i | \(-0.768484\pi\) |
−0.411947 | + | 0.911208i | \(0.635151\pi\) | |||||||
\(138\) | 4.45239 | + | 4.94488i | 0.379013 | + | 0.420937i | ||||
\(139\) | 11.5453 | − | 8.38812i | 0.979256 | − | 0.711471i | 0.0217140 | − | 0.999764i | \(-0.493088\pi\) |
0.957542 | + | 0.288293i | \(0.0930877\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 4.26685 | + | 13.1320i | 0.359333 | + | 1.10591i | ||||
\(142\) | 4.97933 | − | 8.62446i | 0.417856 | − | 0.723749i | ||||
\(143\) | 7.72356 | + | 3.26494i | 0.645877 | + | 0.273028i | ||||
\(144\) | −5.17745 | − | 8.96761i | −0.431454 | − | 0.747300i | ||||
\(145\) | −1.93792 | − | 0.411918i | −0.160936 | − | 0.0342079i | ||||
\(146\) | 4.35535 | + | 3.16435i | 0.360451 | + | 0.261883i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.722575 | − | 2.22386i | 0.0593953 | − | 0.182800i | ||||
\(149\) | 1.75508 | + | 1.94921i | 0.143782 | + | 0.159686i | 0.810734 | − | 0.585415i | \(-0.199068\pi\) |
−0.666952 | + | 0.745100i | \(0.732402\pi\) | |||||||
\(150\) | 0.776512 | + | 0.345725i | 0.0634019 | + | 0.0282284i | ||||
\(151\) | 0.312498 | − | 2.97322i | 0.0254307 | − | 0.241957i | −0.974421 | − | 0.224731i | \(-0.927850\pi\) |
0.999852 | − | 0.0172265i | \(-0.00548363\pi\) | |||||||
\(152\) | 15.6518 | + | 3.32690i | 1.26953 | + | 0.269847i | ||||
\(153\) | 12.2824 | 0.992977 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 6.43516 | 0.516884 | ||||||||
\(156\) | 12.0465 | + | 2.56056i | 0.964491 | + | 0.205009i | ||||
\(157\) | 1.17644 | − | 11.1930i | 0.0938898 | − | 0.893302i | −0.841636 | − | 0.540045i | \(-0.818407\pi\) |
0.935526 | − | 0.353257i | \(-0.114926\pi\) | |||||||
\(158\) | 2.48204 | + | 1.10508i | 0.197461 | + | 0.0879152i | ||||
\(159\) | −1.40220 | − | 1.55730i | −0.111201 | − | 0.123502i | ||||
\(160\) | −3.82131 | + | 11.7608i | −0.302101 | + | 0.929773i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −9.46045 | − | 6.87342i | −0.743283 | − | 0.540027i | ||||
\(163\) | 17.8052 | + | 3.78461i | 1.39461 | + | 0.296433i | 0.843110 | − | 0.537742i | \(-0.180723\pi\) |
0.551500 | + | 0.834175i | \(0.314056\pi\) | |||||||
\(164\) | −4.31382 | − | 7.47175i | −0.336853 | − | 0.583446i | ||||
\(165\) | 1.91267 | − | 22.2420i | 0.148901 | − | 1.73154i | ||||
\(166\) | −1.35668 | + | 2.34984i | −0.105299 | + | 0.182383i | ||||
\(167\) | −6.15909 | − | 18.9557i | −0.476605 | − | 1.46684i | −0.843781 | − | 0.536687i | \(-0.819675\pi\) |
0.367176 | − | 0.930151i | \(-0.380325\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.34590 | − | 3.88402i | 0.411223 | − | 0.298771i | ||||
\(170\) | −1.72058 | − | 1.91090i | −0.131963 | − | 0.146559i | ||||
\(171\) | −45.1295 | + | 9.59257i | −3.45114 | + | 0.733562i | ||||
\(172\) | 11.9477 | + | 5.31948i | 0.911007 | + | 0.405606i | ||||
\(173\) | −5.47221 | + | 2.43638i | −0.416044 | + | 0.185235i | −0.604074 | − | 0.796929i | \(-0.706457\pi\) |
0.188029 | + | 0.982163i | \(0.439790\pi\) | |||||||
\(174\) | 0.600539 | + | 1.84827i | 0.0455267 | + | 0.140117i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −5.00675 | + | 0.0948260i | −0.377398 | + | 0.00714778i | ||||
\(177\) | 0.578284 | − | 1.00162i | 0.0434665 | − | 0.0752861i | ||||
\(178\) | 3.72287 | − | 4.13467i | 0.279041 | − | 0.309906i | ||||
\(179\) | 0.169225 | − | 1.61007i | 0.0126485 | − | 0.120342i | −0.986376 | − | 0.164508i | \(-0.947396\pi\) |
0.999024 | + | 0.0441658i | \(0.0140630\pi\) | |||||||
\(180\) | −2.38429 | − | 22.6850i | −0.177714 | − | 1.69084i | ||||
\(181\) | −0.749929 | + | 2.30804i | −0.0557418 | + | 0.171556i | −0.975051 | − | 0.221980i | \(-0.928748\pi\) |
0.919309 | + | 0.393535i | \(0.128748\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −12.7298 | + | 9.24876i | −0.941016 | + | 0.683688i | ||||
\(184\) | 6.87574 | − | 3.06128i | 0.506886 | − | 0.225680i | ||||
\(185\) | 2.16200 | − | 2.40114i | 0.158953 | − | 0.176536i | ||||
\(186\) | −3.15614 | − | 5.46660i | −0.231419 | − | 0.400830i | ||||
\(187\) | 2.87196 | − | 5.19934i | 0.210019 | − | 0.380214i | ||||
\(188\) | 6.82279 | 0.497603 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 7.81436 | + | 5.67747i | 0.566914 | + | 0.411887i | ||||
\(191\) | −1.32761 | − | 12.6313i | −0.0960623 | − | 0.913972i | −0.931342 | − | 0.364146i | \(-0.881361\pi\) |
0.835279 | − | 0.549826i | \(-0.185306\pi\) | |||||||
\(192\) | 2.59078 | − | 0.550688i | 0.186974 | − | 0.0397425i | ||||
\(193\) | 1.72087 | − | 0.365781i | 0.123871 | − | 0.0263295i | −0.145559 | − | 0.989350i | \(-0.546498\pi\) |
0.269430 | + | 0.963020i | \(0.413165\pi\) | |||||||
\(194\) | 0.596171 | + | 5.67218i | 0.0428025 | + | 0.407239i | ||||
\(195\) | 13.7676 | + | 10.0027i | 0.985918 | + | 0.716311i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −0.903053 | −0.0643399 | −0.0321699 | − | 0.999482i | \(-0.510242\pi\) | ||||
−0.0321699 | + | 0.999482i | \(0.510242\pi\) | |||||||
\(198\) | −13.7971 | + | 6.45865i | −0.980518 | + | 0.458996i | ||||
\(199\) | −7.81479 | − | 13.5356i | −0.553976 | − | 0.959515i | −0.997982 | − | 0.0634910i | \(-0.979777\pi\) |
0.444006 | − | 0.896024i | \(-0.353557\pi\) | |||||||
\(200\) | 0.643333 | − | 0.714493i | 0.0454905 | − | 0.0505223i | ||||
\(201\) | 2.58760 | − | 1.15207i | 0.182515 | − | 0.0812610i | ||||
\(202\) | −2.18200 | + | 1.58532i | −0.153525 | + | 0.111543i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 2.69583 | − | 8.29691i | 0.188746 | − | 0.580900i | ||||
\(205\) | −1.24615 | − | 11.8563i | −0.0870349 | − | 0.828082i | ||||
\(206\) | −1.23394 | + | 11.7401i | −0.0859725 | + | 0.817973i | ||||
\(207\) | −14.5210 | + | 16.1272i | −1.00928 | + | 1.12091i | ||||
\(208\) | 1.90866 | − | 3.30590i | 0.132342 | − | 0.229223i | ||||
\(209\) | −6.49180 | + | 21.3470i | −0.449047 | + | 1.47660i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.56378 | + | 14.0459i | 0.314184 | + | 0.966958i | 0.976089 | + | 0.217371i | \(0.0697480\pi\) |
−0.661905 | + | 0.749587i | \(0.730252\pi\) | |||||||
\(212\) | −0.945945 | + | 0.421162i | −0.0649678 | + | 0.0289255i | ||||
\(213\) | 42.6502 | + | 18.9891i | 2.92234 | + | 1.30111i | ||||
\(214\) | 10.0911 | − | 2.14493i | 0.689814 | − | 0.146624i | ||||
\(215\) | 12.0923 | + | 13.4299i | 0.824691 | + | 0.915912i | ||||
\(216\) | −23.3105 | + | 16.9361i | −1.58608 | + | 1.15235i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −3.91708 | − | 12.0555i | −0.265298 | − | 0.816503i | ||||
\(219\) | −12.6190 | + | 21.8567i | −0.852713 | + | 1.47694i | ||||
\(220\) | −10.1604 | − | 4.29505i | −0.685015 | − | 0.289572i | ||||
\(221\) | 2.26396 | + | 3.92129i | 0.152290 | + | 0.263774i | ||||
\(222\) | −3.10010 | − | 0.658948i | −0.208065 | − | 0.0442257i | ||||
\(223\) | −1.49293 | − | 1.08468i | −0.0999743 | − | 0.0726356i | 0.536675 | − | 0.843789i | \(-0.319680\pi\) |
−0.636649 | + | 0.771153i | \(0.719680\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −0.856647 | + | 2.63649i | −0.0571098 | + | 0.175766i | ||||
\(226\) | 0.753164 | + | 0.836473i | 0.0500997 | + | 0.0556414i | ||||
\(227\) | 20.0431 | + | 8.92378i | 1.33031 | + | 0.592292i | 0.943960 | − | 0.330061i | \(-0.107069\pi\) |
0.386349 | + | 0.922352i | \(0.373736\pi\) | |||||||
\(228\) | −3.42544 | + | 32.5909i | −0.226855 | + | 2.15838i | ||||
\(229\) | −19.8092 | − | 4.21058i | −1.30903 | − | 0.278243i | −0.500009 | − | 0.866020i | \(-0.666670\pi\) |
−0.809023 | + | 0.587777i | \(0.800003\pi\) | |||||||
\(230\) | 4.54323 | 0.299571 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 2.19819 | 0.144318 | ||||||||
\(233\) | −20.6023 | − | 4.37916i | −1.34970 | − | 0.286888i | −0.524349 | − | 0.851504i | \(-0.675691\pi\) |
−0.825354 | + | 0.564616i | \(0.809024\pi\) | |||||||
\(234\) | 1.21388 | − | 11.5493i | 0.0793535 | − | 0.754998i | ||||
\(235\) | 8.61264 | + | 3.83459i | 0.561827 | + | 0.250141i | ||||
\(236\) | −0.382401 | − | 0.424700i | −0.0248922 | − | 0.0276456i | ||||
\(237\) | −3.93597 | + | 12.1137i | −0.255668 | + | 0.786867i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −12.5370 | − | 9.10863i | −0.810948 | − | 0.589188i | 0.103157 | − | 0.994665i | \(-0.467106\pi\) |
−0.914105 | + | 0.405477i | \(0.867106\pi\) | |||||||
\(240\) | −9.94077 | − | 2.11297i | −0.641674 | − | 0.136392i | ||||
\(241\) | 7.04241 | + | 12.1978i | 0.453641 | + | 0.785730i | 0.998609 | − | 0.0527271i | \(-0.0167913\pi\) |
−0.544967 | + | 0.838457i | \(0.683458\pi\) | |||||||
\(242\) | −0.492093 | + | 7.35073i | −0.0316329 | + | 0.472523i | ||||
\(243\) | 9.23960 | − | 16.0035i | 0.592721 | − | 1.02662i | ||||
\(244\) | 2.40262 | + | 7.39450i | 0.153812 | + | 0.473384i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −9.46064 | + | 6.87356i | −0.603188 | + | 0.438242i | ||||
\(247\) | −11.3810 | − | 12.6399i | −0.724156 | − | 0.804256i | ||||
\(248\) | −6.98389 | + | 1.48447i | −0.443477 | + | 0.0942640i | ||||
\(249\) | −11.6206 | − | 5.17381i | −0.736423 | − | 0.327877i | ||||
\(250\) | 7.08845 | − | 3.15598i | 0.448313 | − | 0.199602i | ||||
\(251\) | 0.332894 | + | 1.02454i | 0.0210121 | + | 0.0646686i | 0.961013 | − | 0.276504i | \(-0.0891759\pi\) |
−0.940001 | + | 0.341173i | \(0.889176\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 3.43148 | + | 9.91790i | 0.215735 | + | 0.623533i | ||||
\(254\) | −5.88267 | + | 10.1891i | −0.369111 | + | 0.639320i | ||||
\(255\) | 8.06613 | − | 8.95834i | 0.505121 | − | 0.560993i | ||||
\(256\) | 0.944455 | − | 8.98589i | 0.0590284 | − | 0.561618i | ||||
\(257\) | 1.36734 | + | 13.0094i | 0.0852922 | + | 0.811501i | 0.950633 | + | 0.310317i | \(0.100435\pi\) |
−0.865341 | + | 0.501184i | \(0.832898\pi\) | |||||||
\(258\) | 5.47784 | − | 16.8591i | 0.341035 | − | 1.04960i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 6.80292 | − | 4.94261i | 0.421899 | − | 0.306528i | ||||
\(261\) | −5.79016 | + | 2.57795i | −0.358402 | + | 0.159571i | ||||
\(262\) | −3.01404 | + | 3.34743i | −0.186208 | + | 0.206805i | ||||
\(263\) | 4.78608 | + | 8.28973i | 0.295122 | + | 0.511167i | 0.975013 | − | 0.222146i | \(-0.0713062\pi\) |
−0.679891 | + | 0.733313i | \(0.737973\pi\) | |||||||
\(264\) | 3.05506 | + | 24.5799i | 0.188026 | + | 1.51279i | ||||
\(265\) | −1.43080 | −0.0878935 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 21.1015 | + | 15.3312i | 1.29139 | + | 0.938252i | ||||
\(268\) | −0.146298 | − | 1.39193i | −0.00893659 | − | 0.0850260i | ||||
\(269\) | −4.66433 | + | 0.991434i | −0.284389 | + | 0.0604488i | −0.347898 | − | 0.937533i | \(-0.613104\pi\) |
0.0635085 | + | 0.997981i | \(0.479771\pi\) | |||||||
\(270\) | −17.0127 | + | 3.61616i | −1.03536 | + | 0.220073i | ||||
\(271\) | −2.09603 | − | 19.9424i | −0.127325 | − | 1.21142i | −0.852453 | − | 0.522803i | \(-0.824886\pi\) |
0.725128 | − | 0.688614i | \(-0.241780\pi\) | |||||||
\(272\) | −2.18762 | − | 1.58940i | −0.132644 | − | 0.0963713i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 9.28776 | 0.561094 | ||||||||
\(275\) | 0.915758 | + | 0.979113i | 0.0552223 | + | 0.0590427i | ||||
\(276\) | 7.70690 | + | 13.3487i | 0.463901 | + | 0.803500i | ||||
\(277\) | −7.76355 | + | 8.62230i | −0.466467 | + | 0.518064i | −0.929772 | − | 0.368135i | \(-0.879997\pi\) |
0.463306 | + | 0.886199i | \(0.346663\pi\) | |||||||
\(278\) | −8.73142 | + | 3.88748i | −0.523676 | + | 0.233156i | ||||
\(279\) | 16.6550 | − | 12.1006i | 0.997111 | − | 0.724443i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 3.73256 | − | 11.4876i | 0.222666 | − | 0.685295i | −0.775854 | − | 0.630912i | \(-0.782681\pi\) |
0.998520 | − | 0.0543830i | \(-0.0173192\pi\) | |||||||
\(282\) | −0.966647 | − | 9.19703i | −0.0575630 | − | 0.547675i | ||||
\(283\) | 2.29892 | − | 21.8727i | 0.136656 | − | 1.30020i | −0.684297 | − | 0.729204i | \(-0.739891\pi\) |
0.820953 | − | 0.570996i | \(-0.193443\pi\) | |||||||
\(284\) | 15.4362 | − | 17.1436i | 0.915968 | − | 1.01729i | ||||
\(285\) | −22.6410 | + | 39.2154i | −1.34114 | + | 2.32292i | ||||
\(286\) | −4.60513 | − | 3.21438i | −0.272307 | − | 0.190070i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 12.2248 | + | 37.6240i | 0.720353 | + | 2.21702i | ||||
\(289\) | −12.6002 | + | 5.60996i | −0.741187 | + | 0.329998i | ||||
\(290\) | 1.21219 | + | 0.539702i | 0.0711822 | + | 0.0316924i | ||||
\(291\) | −26.1535 | + | 5.55910i | −1.53315 | + | 0.325880i | ||||
\(292\) | 8.34456 | + | 9.26757i | 0.488328 | + | 0.542344i | ||||
\(293\) | 1.14654 | − | 0.833014i | 0.0669819 | − | 0.0486652i | −0.553790 | − | 0.832656i | \(-0.686819\pi\) |
0.620772 | + | 0.783991i | \(0.286819\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.244025 | − | 0.751033i | −0.0142077 | − | 0.0437268i | ||||
\(296\) | −1.79246 | + | 3.10463i | −0.104184 | + | 0.180453i | ||||
\(297\) | −20.7437 | − | 34.4076i | −1.20367 | − | 1.99653i | ||||
\(298\) | −0.878343 | − | 1.52133i | −0.0508810 | − | 0.0881286i | ||||
\(299\) | −7.82532 | − | 1.66332i | −0.452550 | − | 0.0961925i | ||||
\(300\) | 1.59295 | + | 1.15735i | 0.0919691 | + | 0.0668195i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −0.618734 | + | 1.90427i | −0.0356041 | + | 0.109578i | ||||
\(303\) | −8.46054 | − | 9.39638i | −0.486045 | − | 0.539808i | ||||
\(304\) | 9.27929 | + | 4.13141i | 0.532204 | + | 0.236952i | ||||
\(305\) | −1.12300 | + | 10.6847i | −0.0643030 | + | 0.611802i | ||||
\(306\) | −8.04633 | − | 1.71030i | −0.459978 | − | 0.0977714i | ||||
\(307\) | −29.4646 | −1.68163 | −0.840817 | − | 0.541319i | \(-0.817925\pi\) | ||||
−0.840817 | + | 0.541319i | \(0.817925\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −55.3411 | −3.14825 | ||||||||
\(310\) | −4.21573 | − | 0.896080i | −0.239437 | − | 0.0508939i | ||||
\(311\) | 2.80959 | − | 26.7314i | 0.159317 | − | 1.51580i | −0.564283 | − | 0.825581i | \(-0.690847\pi\) |
0.723600 | − | 0.690219i | \(-0.242486\pi\) | |||||||
\(312\) | −17.2490 | − | 7.67975i | −0.976533 | − | 0.434780i | ||||
\(313\) | 3.00620 | + | 3.33873i | 0.169921 | + | 0.188716i | 0.822090 | − | 0.569357i | \(-0.192808\pi\) |
−0.652170 | + | 0.758073i | \(0.726141\pi\) | |||||||
\(314\) | −2.32930 | + | 7.16884i | −0.131450 | + | 0.404561i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 5.09172 | + | 3.69935i | 0.286431 | + | 0.208105i | ||||
\(317\) | 10.7108 | + | 2.27665i | 0.601577 | + | 0.127869i | 0.498626 | − | 0.866817i | \(-0.333838\pi\) |
0.102951 | + | 0.994686i | \(0.467171\pi\) | |||||||
\(318\) | 0.701741 | + | 1.21545i | 0.0393517 | + | 0.0681591i | ||||
\(319\) | −0.262611 | + | 3.05385i | −0.0147034 | + | 0.170983i | ||||
\(320\) | 0.904228 | − | 1.56617i | 0.0505479 | − | 0.0875515i | ||||
\(321\) | 14.9454 | + | 45.9971i | 0.834169 | + | 2.56731i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −9.74723 | + | 7.08177i | −0.542350 | + | 0.394040i | ||||
\(324\) | −18.1256 | − | 20.1305i | −1.00698 | − | 1.11836i | ||||
\(325\) | −0.999626 | + | 0.212477i | −0.0554493 | + | 0.0117861i | ||||
\(326\) | −11.1373 | − | 4.95866i | −0.616839 | − | 0.274635i | ||||
\(327\) | 54.2874 | − | 24.1703i | 3.00210 | − | 1.33662i | ||||
\(328\) | 4.08744 | + | 12.5799i | 0.225691 | + | 0.694607i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −4.35016 | + | 14.3046i | −0.239468 | + | 0.787443i | ||||
\(331\) | −8.26132 | + | 14.3090i | −0.454083 | + | 0.786495i | −0.998635 | − | 0.0522322i | \(-0.983366\pi\) |
0.544552 | + | 0.838727i | \(0.316700\pi\) | |||||||
\(332\) | −4.20577 | + | 4.67098i | −0.230822 | + | 0.256353i | ||||
\(333\) | 1.08046 | − | 10.2799i | 0.0592088 | − | 0.563334i | ||||
\(334\) | 1.39533 | + | 13.2757i | 0.0763492 | + | 0.726414i | ||||
\(335\) | 0.597628 | − | 1.83931i | 0.0326519 | − | 0.100492i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 9.80588 | − | 7.12439i | 0.534160 | − | 0.388090i | −0.287751 | − | 0.957705i | \(-0.592908\pi\) |
0.821912 | + | 0.569615i | \(0.192908\pi\) | |||||||
\(338\) | −4.04298 | + | 1.80005i | −0.219909 | + | 0.0979099i | ||||
\(339\) | −3.53085 | + | 3.92140i | −0.191769 | + | 0.212981i | ||||
\(340\) | −2.97826 | − | 5.15849i | −0.161519 | − | 0.279758i | ||||
\(341\) | −1.22797 | − | 9.87977i | −0.0664983 | − | 0.535019i | ||||
\(342\) | 30.9004 | 1.67090 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −16.2215 | − | 11.7856i | −0.874605 | − | 0.635437i | ||||
\(345\) | 2.22632 | + | 21.1821i | 0.119861 | + | 1.14040i | ||||
\(346\) | 3.92415 | − | 0.834104i | 0.210964 | − | 0.0448417i | ||||
\(347\) | 23.7544 | − | 5.04916i | 1.27521 | − | 0.271053i | 0.479933 | − | 0.877305i | \(-0.340661\pi\) |
0.795273 | + | 0.606252i | \(0.207328\pi\) | |||||||
\(348\) | 0.470566 | + | 4.47714i | 0.0252250 | + | 0.240000i | ||||
\(349\) | −2.68497 | − | 1.95074i | −0.143723 | − | 0.104421i | 0.513600 | − | 0.858030i | \(-0.328311\pi\) |
−0.657323 | + | 0.753609i | \(0.728311\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 30.6269 | 1.63474 | ||||||||
\(352\) | 18.7853 | + | 3.62257i | 1.00126 | + | 0.193084i | ||||
\(353\) | 10.1636 | + | 17.6039i | 0.540955 | + | 0.936962i | 0.998849 | + | 0.0479552i | \(0.0152705\pi\) |
−0.457894 | + | 0.889007i | \(0.651396\pi\) | |||||||
\(354\) | −0.518311 | + | 0.575643i | −0.0275479 | + | 0.0305951i | ||||
\(355\) | 29.1208 | − | 12.9654i | 1.54557 | − | 0.688132i | ||||
\(356\) | 10.4268 | − | 7.57553i | 0.552620 | − | 0.401502i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −0.335059 | + | 1.03121i | −0.0177084 | + | 0.0545009i | ||||
\(359\) | −3.03564 | − | 28.8821i | −0.160215 | − | 1.52434i | −0.718989 | − | 0.695021i | \(-0.755395\pi\) |
0.558774 | − | 0.829320i | \(-0.311272\pi\) | |||||||
\(360\) | −3.65542 | + | 34.7790i | −0.192657 | + | 1.83301i | ||||
\(361\) | 17.5700 | − | 19.5134i | 0.924736 | − | 1.02702i | ||||
\(362\) | 0.812674 | − | 1.40759i | 0.0427132 | − | 0.0739814i | ||||
\(363\) | −34.5127 | + | 1.30779i | −1.81145 | + | 0.0686410i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 5.32499 | + | 16.3886i | 0.278723 | + | 0.857821i | ||||
\(366\) | 9.62728 | − | 4.28634i | 0.503226 | − | 0.224051i | ||||
\(367\) | 20.7912 | + | 9.25683i | 1.08529 | + | 0.483203i | 0.869851 | − | 0.493314i | \(-0.164215\pi\) |
0.215440 | + | 0.976517i | \(0.430881\pi\) | |||||||
\(368\) | 4.67323 | − | 0.993326i | 0.243609 | − | 0.0517807i | ||||
\(369\) | −25.5197 | − | 28.3425i | −1.32850 | − | 1.47545i | ||||
\(370\) | −1.75070 | + | 1.27196i | −0.0910145 | + | 0.0661259i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −4.51852 | − | 13.9066i | −0.234274 | − | 0.721022i | ||||
\(373\) | 11.1206 | − | 19.2614i | 0.575802 | − | 0.997319i | −0.420151 | − | 0.907454i | \(-0.638023\pi\) |
0.995954 | − | 0.0898652i | \(-0.0286436\pi\) | |||||||
\(374\) | −2.60544 | + | 3.00622i | −0.134724 | + | 0.155448i | ||||
\(375\) | 18.1878 | + | 31.5022i | 0.939215 | + | 1.62677i | ||||
\(376\) | −10.2316 | − | 2.17480i | −0.527655 | − | 0.112157i | ||||
\(377\) | −1.89030 | − | 1.37339i | −0.0973556 | − | 0.0707330i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 10.3430 | − | 31.8325i | 0.531285 | − | 1.63513i | −0.220258 | − | 0.975442i | \(-0.570690\pi\) |
0.751543 | − | 0.659685i | \(-0.229310\pi\) | |||||||
\(380\) | 14.9718 | + | 16.6279i | 0.768037 | + | 0.852992i | ||||
\(381\) | −50.3876 | − | 22.4340i | −2.58144 | − | 1.14933i | ||||
\(382\) | −0.889157 | + | 8.45977i | −0.0454932 | + | 0.432839i | ||||
\(383\) | −6.01162 | − | 1.27781i | −0.307179 | − | 0.0652930i | 0.0517429 | − | 0.998660i | \(-0.483522\pi\) |
−0.358922 | + | 0.933367i | \(0.616856\pi\) | |||||||
\(384\) | 34.4486 | 1.75795 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −1.17829 | −0.0599733 | ||||||||
\(387\) | 56.5500 | + | 12.0201i | 2.87460 | + | 0.611015i | ||||
\(388\) | −1.38101 | + | 13.1395i | −0.0701103 | + | 0.667055i | ||||
\(389\) | 6.76357 | + | 3.01133i | 0.342926 | + | 0.152681i | 0.570971 | − | 0.820970i | \(-0.306567\pi\) |
−0.228045 | + | 0.973651i | \(0.573233\pi\) | |||||||
\(390\) | −7.62641 | − | 8.46998i | −0.386178 | − | 0.428894i | ||||
\(391\) | −1.75119 | + | 5.38962i | −0.0885617 | + | 0.272565i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −17.0838 | − | 12.4121i | −0.861765 | − | 0.626109i | ||||
\(394\) | 0.591598 | + | 0.125748i | 0.0298043 | + | 0.00633509i | ||||
\(395\) | 4.34831 | + | 7.53150i | 0.218787 | + | 0.378951i | ||||
\(396\) | −34.3728 | + | 7.98935i | −1.72730 | + | 0.401480i | ||||
\(397\) | 8.90394 | − | 15.4221i | 0.446876 | − | 0.774012i | −0.551305 | − | 0.834304i | \(-0.685870\pi\) |
0.998181 | + | 0.0602921i | \(0.0192032\pi\) | |||||||
\(398\) | 3.23473 | + | 9.95549i | 0.162143 | + | 0.499024i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.493749 | − | 0.358729i | 0.0246874 | − | 0.0179365i | ||||
\(401\) | 17.1825 | + | 19.0831i | 0.858054 | + | 0.952965i | 0.999315 | − | 0.0370073i | \(-0.0117825\pi\) |
−0.141261 | + | 0.989972i | \(0.545116\pi\) | |||||||
\(402\) | −1.85558 | + | 0.394416i | −0.0925480 | + | 0.0196717i | ||||
\(403\) | 6.93317 | + | 3.08684i | 0.345366 | + | 0.153767i | ||||
\(404\) | −5.70762 | + | 2.54120i | −0.283965 | + | 0.126429i | ||||
\(405\) | −11.5667 | − | 35.5985i | −0.574752 | − | 1.76890i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −4.09899 | − | 2.86108i | −0.203179 | − | 0.141819i | ||||
\(408\) | −6.68741 | + | 11.5829i | −0.331076 | + | 0.573441i | ||||
\(409\) | −0.894992 | + | 0.993990i | −0.0442545 | + | 0.0491496i | −0.764866 | − | 0.644190i | \(-0.777195\pi\) |
0.720611 | + | 0.693339i | \(0.243861\pi\) | |||||||
\(410\) | −0.834601 | + | 7.94070i | −0.0412180 | + | 0.392163i | ||||
\(411\) | 4.55130 | + | 43.3027i | 0.224499 | + | 2.13596i | ||||
\(412\) | −8.45022 | + | 26.0071i | −0.416312 | + | 1.28128i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 11.7585 | − | 8.54303i | 0.577897 | − | 0.419867i | ||||
\(415\) | −7.93431 | + | 3.53258i | −0.389480 | + | 0.173408i | ||||
\(416\) | −9.75851 | + | 10.8379i | −0.478450 | + | 0.531373i | ||||
\(417\) | −22.4034 | − | 38.8039i | −1.09710 | − | 1.90023i | ||||
\(418\) | 7.22535 | − | 13.0806i | 0.353403 | − | 0.639794i | ||||
\(419\) | −37.4618 | −1.83013 | −0.915064 | − | 0.403310i | \(-0.867860\pi\) | ||||
−0.915064 | + | 0.403310i | \(0.867860\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −6.68374 | − | 4.85602i | −0.325746 | − | 0.236668i | 0.412878 | − | 0.910787i | \(-0.364524\pi\) |
−0.738623 | + | 0.674118i | \(0.764524\pi\) | |||||||
\(422\) | −1.03392 | − | 9.83707i | −0.0503303 | − | 0.478861i | ||||
\(423\) | 29.5012 | − | 6.27067i | 1.43440 | − | 0.304890i | ||||
\(424\) | 1.55281 | − | 0.330060i | 0.0754110 | − | 0.0160291i | ||||
\(425\) | 0.0756696 | + | 0.719949i | 0.00367052 | + | 0.0349226i | ||||
\(426\) | −25.2963 | − | 18.3788i | −1.22561 | − | 0.890458i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 23.8980 | 1.15515 | ||||||||
\(429\) | 12.7298 | − | 23.0458i | 0.614603 | − | 1.11266i | ||||
\(430\) | −6.05171 | − | 10.4819i | −0.291840 | − | 0.505481i | ||||
\(431\) | 21.8514 | − | 24.2685i | 1.05255 | − | 1.16897i | 0.0673168 | − | 0.997732i | \(-0.478556\pi\) |
0.985229 | − | 0.171239i | \(-0.0547772\pi\) | |||||||
\(432\) | −16.7089 | + | 7.43928i | −0.803907 | + | 0.357922i | ||||
\(433\) | 12.7786 | − | 9.28422i | 0.614102 | − | 0.446171i | −0.236754 | − | 0.971570i | \(-0.576084\pi\) |
0.850856 | + | 0.525398i | \(0.176084\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.92226 | + | 5.91611i | −0.0921654 | + | 0.283656i | ||||
\(436\) | −3.06931 | − | 29.2026i | −0.146993 | − | 1.39855i | ||||
\(437\) | 2.22514 | − | 21.1708i | 0.106443 | − | 1.01274i | ||||
\(438\) | 11.3103 | − | 12.5614i | 0.540428 | − | 0.600206i | ||||
\(439\) | −10.3471 | + | 17.9217i | −0.493839 | + | 0.855354i | −0.999975 | − | 0.00709942i | \(-0.997740\pi\) |
0.506136 | + | 0.862454i | \(0.331073\pi\) | |||||||
\(440\) | 13.8677 | + | 9.67964i | 0.661118 | + | 0.461459i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.937107 | − | 2.88412i | −0.0445737 | − | 0.137184i | ||||
\(443\) | 27.4936 | − | 12.2409i | 1.30626 | − | 0.581584i | 0.368745 | − | 0.929531i | \(-0.379788\pi\) |
0.937514 | + | 0.347947i | \(0.113121\pi\) | |||||||
\(444\) | −6.70701 | − | 2.98616i | −0.318301 | − | 0.141717i | ||||
\(445\) | 17.4198 | − | 3.70269i | 0.825777 | − | 0.175524i | ||||
\(446\) | 0.826995 | + | 0.918470i | 0.0391593 | + | 0.0434908i | ||||
\(447\) | 6.66256 | − | 4.84063i | 0.315128 | − | 0.228954i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 11.2465 | + | 34.6132i | 0.530755 | + | 1.63350i | 0.752647 | + | 0.658424i | \(0.228777\pi\) |
−0.221892 | + | 0.975071i | \(0.571223\pi\) | |||||||
\(450\) | 0.928321 | − | 1.60790i | 0.0437615 | − | 0.0757971i | ||||
\(451\) | −17.9650 | + | 4.17564i | −0.845938 | + | 0.196623i | ||||
\(452\) | 1.30369 | + | 2.25806i | 0.0613206 | + | 0.106210i | ||||
\(453\) | −9.18154 | − | 1.95160i | −0.431386 | − | 0.0916940i | ||||
\(454\) | −11.8878 | − | 8.63700i | −0.557922 | − | 0.405354i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 15.5254 | − | 47.7821i | 0.727041 | − | 2.23760i | ||||
\(457\) | −6.55347 | − | 7.27837i | −0.306559 | − | 0.340468i | 0.570105 | − | 0.821572i | \(-0.306903\pi\) |
−0.876663 | + | 0.481104i | \(0.840236\pi\) | |||||||
\(458\) | 12.3909 | + | 5.51678i | 0.578988 | + | 0.257782i | ||||
\(459\) | 2.26773 | − | 21.5760i | 0.105848 | − | 1.00708i | ||||
\(460\) | 10.2943 | + | 2.18812i | 0.479973 | + | 0.102021i | ||||
\(461\) | 21.8596 | 1.01810 | 0.509052 | − | 0.860736i | \(-0.329996\pi\) | ||||
0.509052 | + | 0.860736i | \(0.329996\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 6.75889 | 0.314112 | 0.157056 | − | 0.987590i | \(-0.449800\pi\) | ||||
0.157056 | + | 0.987590i | \(0.449800\pi\) | |||||||
\(464\) | 1.36488 | + | 0.290114i | 0.0633628 | + | 0.0134682i | ||||
\(465\) | 2.11199 | − | 20.0943i | 0.0979412 | − | 0.931849i | ||||
\(466\) | 12.8870 | + | 5.73765i | 0.596977 | + | 0.265791i | ||||
\(467\) | 20.0894 | + | 22.3116i | 0.929628 | + | 1.03246i | 0.999391 | + | 0.0348933i | \(0.0111091\pi\) |
−0.0697626 | + | 0.997564i | \(0.522224\pi\) | |||||||
\(468\) | 8.31283 | − | 25.5843i | 0.384261 | − | 1.18263i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −5.10826 | − | 3.71136i | −0.235626 | − | 0.171192i | ||||
\(471\) | −34.5650 | − | 7.34701i | −1.59267 | − | 0.338533i | ||||
\(472\) | 0.438083 | + | 0.758782i | 0.0201644 | + | 0.0349258i | ||||
\(473\) | 18.3112 | − | 21.1279i | 0.841949 | − | 0.971460i | ||||
\(474\) | 4.26528 | − | 7.38768i | 0.195911 | − | 0.339328i | ||||
\(475\) | −0.840312 | − | 2.58622i | −0.0385562 | − | 0.118664i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −3.70311 | + | 2.69046i | −0.169554 | + | 0.123188i | ||||
\(478\) | 6.94471 | + | 7.71288i | 0.317644 | + | 0.352779i | ||||
\(479\) | −5.87234 | + | 1.24820i | −0.268314 | + | 0.0570319i | −0.340104 | − | 0.940388i | \(-0.610462\pi\) |
0.0717898 | + | 0.997420i | \(0.477129\pi\) | |||||||
\(480\) | 35.4698 | + | 15.7922i | 1.61897 | + | 0.720811i | ||||
\(481\) | 3.48111 | − | 1.54989i | 0.158725 | − | 0.0706688i | ||||
\(482\) | −2.91503 | − | 8.97153i | −0.132776 | − | 0.408642i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −4.65528 | + | 16.4187i | −0.211604 | + | 0.746303i | ||||
\(485\) | −9.12803 | + | 15.8102i | −0.414483 | + | 0.717905i | ||||
\(486\) | −8.28138 | + | 9.19741i | −0.375651 | + | 0.417203i | ||||
\(487\) | −0.665556 | + | 6.33235i | −0.0301592 | + | 0.286946i | 0.969039 | + | 0.246908i | \(0.0794146\pi\) |
−0.999198 | + | 0.0400380i | \(0.987252\pi\) | |||||||
\(488\) | −1.24599 | − | 11.8548i | −0.0564033 | − | 0.536642i | ||||
\(489\) | 17.6613 | − | 54.3559i | 0.798671 | − | 2.45806i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −10.0131 | + | 7.27496i | −0.451886 | + | 0.328314i | −0.790340 | − | 0.612669i | \(-0.790096\pi\) |
0.338454 | + | 0.940983i | \(0.390096\pi\) | |||||||
\(492\) | −24.7469 | + | 11.0180i | −1.11567 | + | 0.496730i | ||||
\(493\) | −1.10749 | + | 1.22999i | −0.0498787 | + | 0.0553959i | ||||
\(494\) | 5.69571 | + | 9.86527i | 0.256262 | + | 0.443859i | ||||
\(495\) | −47.8802 | − | 9.23325i | −2.15206 | − | 0.415004i | ||||
\(496\) | −4.53228 | −0.203505 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 6.89229 | + | 5.00754i | 0.308851 | + | 0.224393i | ||||
\(499\) | 1.49263 | + | 14.2014i | 0.0668193 | + | 0.635743i | 0.975764 | + | 0.218826i | \(0.0702228\pi\) |
−0.908945 | + | 0.416917i | \(0.863111\pi\) | |||||||
\(500\) | 17.5814 | − | 3.73704i | 0.786263 | − | 0.167125i | ||||
\(501\) | −61.2121 | + | 13.0110i | −2.73475 | + | 0.581290i | ||||
\(502\) | −0.0754167 | − | 0.717542i | −0.00336601 | − | 0.0320255i | ||||
\(503\) | 4.79402 | + | 3.48306i | 0.213755 | + | 0.155302i | 0.689511 | − | 0.724275i | \(-0.257826\pi\) |
−0.475756 | + | 0.879577i | \(0.657826\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −8.63314 | −0.384170 | ||||||||
\(506\) | −0.866947 | − | 6.97512i | −0.0385405 | − | 0.310082i | ||||
\(507\) | −10.3736 | − | 17.9677i | −0.460709 | − | 0.797972i | ||||
\(508\) | −18.2365 | + | 20.2537i | −0.809115 | + | 0.898614i | ||||
\(509\) | −28.2043 | + | 12.5574i | −1.25014 | + | 0.556596i | −0.921690 | − | 0.387927i | \(-0.873191\pi\) |
−0.328445 | + | 0.944523i | \(0.606525\pi\) | |||||||
\(510\) | −6.53162 | + | 4.74550i | −0.289225 | + | 0.210134i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 4.91089 | − | 15.1142i | 0.217033 | − | 0.667958i | ||||
\(513\) | 8.51848 | + | 81.0479i | 0.376100 | + | 3.57835i | ||||
\(514\) | 0.915767 | − | 8.71294i | 0.0403927 | − | 0.384311i | ||||
\(515\) | −25.2837 | + | 28.0804i | −1.11413 | + | 1.23737i | ||||
\(516\) | 20.5317 | − | 35.5619i | 0.903856 | − | 1.56552i | ||||
\(517\) | 4.24370 | − | 13.9545i | 0.186637 | − | 0.613720i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 5.81183 | + | 17.8870i | 0.255111 | + | 0.785151i | ||||
\(520\) | −11.7773 | + | 5.24359i | −0.516469 | + | 0.229947i | ||||
\(521\) | −17.2541 | − | 7.68202i | −0.755916 | − | 0.336555i | −0.00766428 | − | 0.999971i | \(-0.502440\pi\) |
−0.748251 | + | 0.663415i | \(0.769106\pi\) | |||||||
\(522\) | 4.15216 | − | 0.882568i | 0.181735 | − | 0.0386289i | ||||
\(523\) | 5.31429 | + | 5.90212i | 0.232378 | + | 0.258082i | 0.848045 | − | 0.529925i | \(-0.177780\pi\) |
−0.615667 | + | 0.788007i | \(0.711113\pi\) | |||||||
\(524\) | −8.44156 | + | 6.13315i | −0.368771 | + | 0.267928i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −1.98108 | − | 6.09712i | −0.0863790 | − | 0.265847i | ||||
\(527\) | 2.68798 | − | 4.65571i | 0.117090 | − | 0.202806i | ||||
\(528\) | −1.34709 | + | 15.6651i | −0.0586246 | + | 0.681734i | ||||
\(529\) | 6.49365 | + | 11.2473i | 0.282333 | + | 0.489014i | ||||
\(530\) | 0.937331 | + | 0.199236i | 0.0407150 | + | 0.00865425i | ||||
\(531\) | −2.04380 | − | 1.48491i | −0.0886935 | − | 0.0644396i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 4.34471 | − | 13.3716i | 0.188190 | − | 0.579190i | ||||
\(534\) | −11.6890 | − | 12.9819i | −0.505831 | − | 0.561782i | ||||
\(535\) | 30.1673 | + | 13.4313i | 1.30424 | + | 0.580687i | ||||
\(536\) | −0.224294 | + | 2.13401i | −0.00968801 | + | 0.0921752i | ||||
\(537\) | −4.97202 | − | 1.05684i | −0.214559 | − | 0.0456058i | ||||
\(538\) | 3.19370 | 0.137690 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −40.2899 | −1.73380 | ||||||||
\(541\) | −7.43554 | − | 1.58047i | −0.319679 | − | 0.0679498i | 0.0452777 | − | 0.998974i | \(-0.485583\pi\) |
−0.364956 | + | 0.931025i | \(0.618916\pi\) | |||||||
\(542\) | −1.40381 | + | 13.3563i | −0.0602986 | + | 0.573703i | ||||
\(543\) | 6.96091 | + | 3.09920i | 0.298721 | + | 0.132999i | ||||
\(544\) | 6.91254 | + | 7.67715i | 0.296373 | + | 0.329155i | ||||
\(545\) | 12.5381 | − | 38.5884i | 0.537075 | − | 1.65295i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −17.5548 | − | 12.7543i | −0.750590 | − | 0.545335i | 0.145420 | − | 0.989370i | \(-0.453547\pi\) |
−0.896010 | + | 0.444035i | \(0.853547\pi\) | |||||||
\(548\) | 21.0447 | + | 4.47319i | 0.898984 | + | 0.191085i | ||||
\(549\) | 17.1848 | + | 29.7650i | 0.733431 | + | 1.27034i | ||||
\(550\) | −0.463582 | − | 0.768942i | −0.0197672 | − | 0.0327878i | ||||
\(551\) | 3.10863 | − | 5.38431i | 0.132432 | − | 0.229379i | ||||
\(552\) | −7.30247 | − | 22.4747i | −0.310814 | − | 0.956587i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 6.28660 | − | 4.56749i | 0.267092 | − | 0.194054i | ||||
\(555\) | −6.78819 | − | 7.53905i | −0.288143 | − | 0.320015i | ||||
\(556\) | −21.6564 | + | 4.60321i | −0.918436 | + | 0.195220i | ||||
\(557\) | −37.1022 | − | 16.5189i | −1.57207 | − | 0.699930i | −0.578769 | − | 0.815492i | \(-0.696467\pi\) |
−0.993300 | + | 0.115562i | \(0.963133\pi\) | |||||||
\(558\) | −12.5958 | + | 5.60803i | −0.533224 | + | 0.237407i | ||||
\(559\) | 6.58604 | + | 20.2697i | 0.278560 | + | 0.857319i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −15.2928 | − | 10.6743i | −0.645661 | − | 0.450670i | ||||
\(562\) | −4.04486 | + | 7.00590i | −0.170622 | + | 0.295526i | ||||
\(563\) | 15.6772 | − | 17.4113i | 0.660717 | − | 0.733800i | −0.315899 | − | 0.948793i | \(-0.602306\pi\) |
0.976616 | + | 0.214993i | \(0.0689728\pi\) | |||||||
\(564\) | 2.23921 | − | 21.3047i | 0.0942878 | − | 0.897088i | ||||
\(565\) | 0.376603 | + | 3.58314i | 0.0158438 | + | 0.150744i | ||||
\(566\) | −4.55177 | + | 14.0089i | −0.191325 | + | 0.588838i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −28.6130 | + | 20.7886i | −1.20058 | + | 0.872269i | ||||
\(569\) | −10.1818 | + | 4.53322i | −0.426842 | + | 0.190043i | −0.608903 | − | 0.793245i | \(-0.708390\pi\) |
0.182060 | + | 0.983287i | \(0.441723\pi\) | |||||||
\(570\) | 20.2929 | − | 22.5376i | 0.849978 | − | 0.943996i | ||||
\(571\) | 3.07923 | + | 5.33338i | 0.128862 | + | 0.223195i | 0.923236 | − | 0.384234i | \(-0.125534\pi\) |
−0.794374 | + | 0.607429i | \(0.792201\pi\) | |||||||
\(572\) | −8.88644 | − | 9.50123i | −0.371561 | − | 0.397266i | ||||
\(573\) | −39.8780 | −1.66593 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −1.03477 | − | 0.751805i | −0.0431529 | − | 0.0313524i | ||||
\(576\) | −0.604744 | − | 5.75375i | −0.0251977 | − | 0.239740i | ||||
\(577\) | −14.1676 | + | 3.01142i | −0.589807 | + | 0.125367i | −0.493141 | − | 0.869950i | \(-0.664151\pi\) |
−0.0966659 | + | 0.995317i | \(0.530818\pi\) | |||||||
\(578\) | 9.03565 | − | 1.92059i | 0.375834 | − | 0.0798859i | ||||
\(579\) | −0.577398 | − | 5.49358i | −0.0239959 | − | 0.228305i | ||||
\(580\) | 2.48671 | + | 1.80670i | 0.103255 | + | 0.0750192i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 17.9075 | 0.742288 | ||||||||
\(583\) | 0.273028 | + | 2.19668i | 0.0113077 | + | 0.0909773i | ||||
\(584\) | −9.55961 | − | 16.5577i | −0.395580 | − | 0.685164i | ||||
\(585\) | 24.8726 | − | 27.6238i | 1.02836 | − | 1.14211i | ||||
\(586\) | −0.867106 | + | 0.386061i | −0.0358198 | + | 0.0159480i | ||||
\(587\) | 12.8285 | − | 9.32048i | 0.529491 | − | 0.384698i | −0.290676 | − | 0.956821i | \(-0.593880\pi\) |
0.820167 | + | 0.572124i | \(0.193880\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −6.24035 | + | 19.2058i | −0.257129 | + | 0.791362i | ||||
\(590\) | 0.0552836 | + | 0.525988i | 0.00227599 | + | 0.0216546i | ||||
\(591\) | −0.296378 | + | 2.81985i | −0.0121914 | + | 0.115993i | ||||
\(592\) | −1.52270 | + | 1.69112i | −0.0625824 | + | 0.0695048i | ||||
\(593\) | 11.4642 | − | 19.8566i | 0.470780 | − | 0.815415i | −0.528662 | − | 0.848833i | \(-0.677306\pi\) |
0.999441 | + | 0.0334179i | \(0.0106392\pi\) | |||||||
\(594\) | 8.79822 | + | 25.4292i | 0.360995 | + | 1.04337i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −1.25749 | − | 3.87015i | −0.0515087 | − | 0.158527i | ||||
\(597\) | −44.8307 | + | 19.9599i | −1.83480 | + | 0.816906i | ||||
\(598\) | 4.89482 | + | 2.17931i | 0.200164 | + | 0.0891188i | ||||
\(599\) | −12.8638 | + | 2.73429i | −0.525601 | + | 0.111720i | −0.463068 | − | 0.886323i | \(-0.653251\pi\) |
−0.0625335 | + | 0.998043i | \(0.519918\pi\) | |||||||
\(600\) | −2.01992 | − | 2.24335i | −0.0824628 | − | 0.0915842i | ||||
\(601\) | 22.1286 | − | 16.0774i | 0.902645 | − | 0.655810i | −0.0364993 | − | 0.999334i | \(-0.511621\pi\) |
0.939144 | + | 0.343524i | \(0.111621\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −1.91188 | − | 5.88415i | −0.0778576 | − | 0.239621i | ||||
\(604\) | −2.31910 | + | 4.01679i | −0.0943627 | + | 0.163441i | ||||
\(605\) | −15.1043 | + | 18.1094i | −0.614075 | + | 0.736253i | ||||
\(606\) | 4.23415 | + | 7.33376i | 0.172001 | + | 0.297914i | ||||
\(607\) | −45.8500 | − | 9.74572i | −1.86099 | − | 0.395567i | −0.866395 | − | 0.499359i | \(-0.833569\pi\) |
−0.994599 | + | 0.103792i | \(0.966902\pi\) | |||||||
\(608\) | −31.3946 | − | 22.8095i | −1.27322 | − | 0.925049i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.22350 | − | 6.84324i | 0.0900270 | − | 0.277075i | ||||
\(611\) | 7.43977 | + | 8.26270i | 0.300981 | + | 0.334273i | ||||
\(612\) | −17.4081 | − | 7.75057i | −0.703680 | − | 0.313298i | ||||
\(613\) | 2.13964 | − | 20.3573i | 0.0864192 | − | 0.822223i | −0.862363 | − | 0.506291i | \(-0.831016\pi\) |
0.948782 | − | 0.315932i | \(-0.102317\pi\) | |||||||
\(614\) | 19.3025 | + | 4.10288i | 0.778986 | + | 0.165579i | ||||
\(615\) | −37.4312 | −1.50937 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 44.1691 | 1.77818 | 0.889090 | − | 0.457733i | \(-0.151338\pi\) | ||||
0.889090 | + | 0.457733i | \(0.151338\pi\) | |||||||
\(618\) | 36.2544 | + | 7.70612i | 1.45837 | + | 0.309986i | ||||
\(619\) | 0.0712449 | − | 0.677850i | 0.00286357 | − | 0.0272451i | −0.992997 | − | 0.118141i | \(-0.962306\pi\) |
0.995860 | + | 0.0908961i | \(0.0289731\pi\) | |||||||
\(620\) | −9.12064 | − | 4.06077i | −0.366294 | − | 0.163084i | ||||
\(621\) | 25.6488 | + | 28.4859i | 1.02925 | + | 1.14310i | ||||
\(622\) | −5.56287 | + | 17.1208i | −0.223051 | + | 0.686480i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −9.69651 | − | 7.04492i | −0.388171 | − | 0.282023i | ||||
\(625\) | 22.3170 | + | 4.74362i | 0.892679 | + | 0.189745i | ||||
\(626\) | −1.50448 | − | 2.60584i | −0.0601311 | − | 0.104150i | ||||
\(627\) | 64.5269 | + | 27.2771i | 2.57696 | + | 1.08934i | ||||
\(628\) | −8.73051 | + | 15.1217i | −0.348385 | + | 0.603421i | ||||
\(629\) | −0.834110 | − | 2.56713i | −0.0332582 | − | 0.102358i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 29.8299 | − | 21.6727i | 1.18751 | − | 0.862776i | 0.194511 | − | 0.980900i | \(-0.437688\pi\) |
0.992999 | + | 0.118124i | \(0.0376880\pi\) | |||||||
\(632\) | −6.45647 | − | 7.17064i | −0.256825 | − | 0.285233i | ||||
\(633\) | 45.3571 | − | 9.64095i | 1.80278 | − | 0.383193i | ||||
\(634\) | −6.69970 | − | 2.98290i | −0.266079 | − | 0.118466i | ||||
\(635\) | −34.4037 | + | 15.3175i | −1.36527 | + | 0.607858i | ||||
\(636\) | 1.00465 | + | 3.09201i | 0.0398371 | + | 0.122606i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0.597281 | − | 1.96404i | 0.0236466 | − | 0.0777570i | ||||
\(639\) | 50.9884 | − | 88.3144i | 2.01707 | − | 3.49367i | ||||
\(640\) | 15.7385 | − | 17.4794i | 0.622120 | − | 0.690934i | ||||
\(641\) | 2.14415 | − | 20.4003i | 0.0846890 | − | 0.805762i | −0.866919 | − | 0.498449i | \(-0.833903\pi\) |
0.951608 | − | 0.307314i | \(-0.0994301\pi\) | |||||||
\(642\) | −3.38585 | − | 32.2142i | −0.133629 | − | 1.27139i | ||||
\(643\) | 2.35984 | − | 7.26283i | 0.0930629 | − | 0.286418i | −0.893681 | − | 0.448703i | \(-0.851886\pi\) |
0.986744 | + | 0.162284i | \(0.0518862\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 45.9045 | − | 33.3516i | 1.80749 | − | 1.31322i | ||||
\(646\) | 7.37161 | − | 3.28205i | 0.290032 | − | 0.129131i | ||||
\(647\) | −9.82473 | + | 10.9115i | −0.386250 | + | 0.428974i | −0.904644 | − | 0.426168i | \(-0.859863\pi\) |
0.518394 | + | 0.855142i | \(0.326530\pi\) | |||||||
\(648\) | 20.7649 | + | 35.9658i | 0.815721 | + | 1.41287i | ||||
\(649\) | −1.10648 | + | 0.517961i | −0.0434331 | + | 0.0203317i | ||||
\(650\) | 0.684450 | 0.0268463 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −22.8473 | − | 16.5996i | −0.894770 | − | 0.650089i | ||||
\(653\) | −0.117807 | − | 1.12086i | −0.00461015 | − | 0.0438627i | 0.991975 | − | 0.126434i | \(-0.0403533\pi\) |
−0.996585 | + | 0.0825717i | \(0.973687\pi\) | |||||||
\(654\) | −38.9298 | + | 8.27479i | −1.52228 | + | 0.323570i | ||||
\(655\) | −14.1031 | + | 2.99770i | −0.551052 | + | 0.117130i | ||||
\(656\) | 0.877663 | + | 8.35040i | 0.0342670 | + | 0.326028i | ||||
\(657\) | 44.5988 | + | 32.4029i | 1.73996 | + | 1.26416i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 10.0215 | 0.390384 | 0.195192 | − | 0.980765i | \(-0.437467\pi\) | ||||
0.195192 | + | 0.980765i | \(0.437467\pi\) | |||||||
\(660\) | −16.7462 | + | 30.3170i | −0.651846 | + | 1.18009i | ||||
\(661\) | 7.86853 | + | 13.6287i | 0.306050 | + | 0.530095i | 0.977495 | − | 0.210960i | \(-0.0676591\pi\) |
−0.671444 | + | 0.741055i | \(0.734326\pi\) | |||||||
\(662\) | 7.40456 | − | 8.22359i | 0.287786 | − | 0.319619i | ||||
\(663\) | 12.9875 | − | 5.78242i | 0.504394 | − | 0.224571i | ||||
\(664\) | 7.79597 | − | 5.66410i | 0.302542 | − | 0.219810i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −2.13927 | + | 6.58398i | −0.0828949 | + | 0.255124i | ||||
\(667\) | −0.305676 | − | 2.90832i | −0.0118358 | − | 0.112611i | ||||
\(668\) | −3.23225 | + | 30.7528i | −0.125059 | + | 1.18986i | ||||
\(669\) | −3.87697 | + | 4.30581i | −0.149892 | + | 0.166472i | ||||
\(670\) | −0.647631 | + | 1.12173i | −0.0250202 | + | 0.0433362i | ||||
\(671\) | 16.6182 | − | 0.314744i | 0.641540 | − | 0.0121505i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 9.89226 | + | 30.4452i | 0.381319 | + | 1.17358i | 0.939116 | + | 0.343601i | \(0.111647\pi\) |
−0.557797 | + | 0.829977i | \(0.688353\pi\) | |||||||
\(674\) | −7.41597 | + | 3.30180i | −0.285652 | + | 0.127181i | ||||
\(675\) | 4.47323 | + | 1.99161i | 0.172175 | + | 0.0766572i | ||||
\(676\) | −10.0277 | + | 2.13146i | −0.385682 | + | 0.0819793i | ||||
\(677\) | 10.2645 | + | 11.3999i | 0.394496 | + | 0.438133i | 0.907371 | − | 0.420331i | \(-0.138086\pi\) |
−0.512874 | + | 0.858464i | \(0.671419\pi\) | |||||||
\(678\) | 2.85913 | − | 2.07728i | 0.109804 | − | 0.0797775i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 2.82197 | + | 8.68512i | 0.108218 | + | 0.333059i | ||||
\(681\) | 34.4432 | − | 59.6574i | 1.31987 | − | 2.28608i | ||||
\(682\) | −0.571281 | + | 6.64331i | −0.0218755 | + | 0.254385i | ||||
\(683\) | −0.523820 | − | 0.907282i | −0.0200434 | − | 0.0347162i | 0.855830 | − | 0.517258i | \(-0.173047\pi\) |
−0.875873 | + | 0.482541i | \(0.839714\pi\) | |||||||
\(684\) | 70.0158 | + | 14.8823i | 2.67712 | + | 0.569040i | ||||
\(685\) | 24.0514 | + | 17.4743i | 0.918955 | + | 0.667660i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −19.6492 | + | 60.4739i | −0.749663 | + | 2.30722i | ||||
\(688\) | −8.51663 | − | 9.45868i | −0.324694 | − | 0.360609i | ||||
\(689\) | −1.54153 | − | 0.686334i | −0.0587276 | − | 0.0261472i | ||||
\(690\) | 1.49107 | − | 14.1866i | 0.0567640 | − | 0.540073i | ||||
\(691\) | 28.5505 | + | 6.06859i | 1.08611 | + | 0.230860i | 0.715981 | − | 0.698120i | \(-0.245980\pi\) |
0.370131 | + | 0.928980i | \(0.379313\pi\) | |||||||
\(692\) | 9.29326 | 0.353277 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −16.2648 | −0.617404 | ||||||||
\(695\) | −29.9247 | − | 6.36070i | −1.13511 | − | 0.241275i | ||||
\(696\) | 0.721437 | − | 6.86401i | 0.0273460 | − | 0.260180i | ||||
\(697\) | −9.09834 | − | 4.05084i | −0.344624 | − | 0.153437i | ||||
\(698\) | 1.48731 | + | 1.65182i | 0.0562955 | + | 0.0625224i | ||||
\(699\) | −20.4358 | + | 62.8950i | −0.772954 | + | 2.37891i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −10.3380 | − | 7.51100i | −0.390461 | − | 0.283687i | 0.375183 | − | 0.926951i | \(-0.377580\pi\) |
−0.765644 | + | 0.643264i | \(0.777580\pi\) | |||||||
\(702\) | −20.0639 | − | 4.26472i | −0.757263 | − | 0.160961i | ||||
\(703\) | 5.06970 | + | 8.78098i | 0.191207 | + | 0.331181i | ||||
\(704\) | −2.57705 | − | 1.08938i | −0.0971264 | − | 0.0410577i | ||||
\(705\) | 14.8004 | − | 25.6351i | 0.557417 | − | 0.965474i | ||||
\(706\) | −4.20697 | − | 12.9477i | −0.158332 | − | 0.487294i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −1.45166 | + | 1.05469i | −0.0545567 | + | 0.0396377i | ||||
\(709\) | 25.4744 | + | 28.2922i | 0.956713 | + | 1.06254i | 0.997989 | + | 0.0633895i | \(0.0201910\pi\) |
−0.0412760 | + | 0.999148i | \(0.513142\pi\) | |||||||
\(710\) | −20.8826 | + | 4.43874i | −0.783712 | + | 0.166583i | ||||
\(711\) | 25.4161 | + | 11.3160i | 0.953179 | + | 0.424383i | ||||
\(712\) | −18.0510 | + | 8.03684i | −0.676491 | + | 0.301193i | ||||
\(713\) | 2.93520 | + | 9.03361i | 0.109924 | + | 0.338311i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −5.87770 | − | 16.9881i | −0.219814 | − | 0.635321i | ||||
\(716\) | −1.25585 | + | 2.17519i | −0.0469332 | + | 0.0812906i | ||||
\(717\) | −32.5569 | + | 36.1581i | −1.21586 | + | 1.35035i | ||||
\(718\) | −2.03310 | + | 19.3436i | −0.0758746 | + | 0.721898i | ||||
\(719\) | −4.10477 | − | 39.0542i | −0.153082 | − | 1.45648i | −0.753846 | − | 0.657051i | \(-0.771804\pi\) |
0.600764 | − | 0.799426i | \(-0.294863\pi\) | |||||||
\(720\) | −6.85975 | + | 21.1121i | −0.255648 | + | 0.786803i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −14.2274 | + | 10.3368i | −0.529491 | + | 0.384697i | ||||
\(723\) | 40.3998 | − | 17.9872i | 1.50249 | − | 0.668950i | ||||
\(724\) | 2.51933 | − | 2.79800i | 0.0936300 | − | 0.103987i | ||||
\(725\) | −0.186781 | − | 0.323514i | −0.00693687 | − | 0.0120150i | ||||
\(726\) | 22.7917 | + | 3.94907i | 0.845879 | + | 0.146564i | ||||
\(727\) | 28.4699 | 1.05589 | 0.527946 | − | 0.849278i | \(-0.322963\pi\) | ||||
0.527946 | + | 0.849278i | \(0.322963\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −4.56314 | − | 3.31531i | −0.169005 | − | 0.122789i | ||||
\(730\) | −1.20637 | − | 11.4778i | −0.0446497 | − | 0.424813i | ||||
\(731\) | 14.7673 | − | 3.13888i | 0.546187 | − | 0.116096i | ||||
\(732\) | 23.8784 | − | 5.07551i | 0.882571 | − | 0.187596i | ||||
\(733\) | −0.312892 | − | 2.97697i | −0.0115569 | − | 0.109957i | 0.987223 | − | 0.159347i | \(-0.0509389\pi\) |
−0.998780 | + | 0.0493902i | \(0.984272\pi\) | |||||||
\(734\) | −12.3315 | − | 8.95935i | −0.455163 | − | 0.330696i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −18.2527 | −0.672802 | ||||||||
\(737\) | −2.93790 | − | 0.566546i | −0.108219 | − | 0.0208690i | ||||
\(738\) | 12.7715 | + | 22.1210i | 0.470127 | + | 0.814284i | ||||
\(739\) | −33.9469 | + | 37.7019i | −1.24876 | + | 1.38689i | −0.357169 | + | 0.934040i | \(0.616258\pi\) |
−0.891589 | + | 0.452846i | \(0.850409\pi\) | |||||||
\(740\) | −4.57942 | + | 2.03889i | −0.168343 | + | 0.0749511i | ||||
\(741\) | −43.2041 | + | 31.3896i | −1.58714 | + | 1.15313i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −0.118625 | + | 0.365089i | −0.00435191 | + | 0.0133938i | −0.953209 | − | 0.302312i | \(-0.902241\pi\) |
0.948857 | + | 0.315706i | \(0.102241\pi\) | |||||||
\(744\) | 2.34329 | + | 22.2949i | 0.0859091 | + | 0.817371i | ||||
\(745\) | 0.587760 | − | 5.59216i | 0.0215339 | − | 0.204881i | ||||
\(746\) | −9.96730 | + | 11.0698i | −0.364929 | + | 0.405295i | ||||
\(747\) | −13.8924 | + | 24.0624i | −0.508297 | + | 0.880395i | ||||
\(748\) | −7.35141 | + | 5.55681i | −0.268794 | + | 0.203177i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −7.52839 | − | 23.1700i | −0.274898 | − | 0.846048i | ||||
\(751\) | −35.9544 | + | 16.0079i | −1.31199 | + | 0.584137i | −0.939070 | − | 0.343725i | \(-0.888311\pi\) |
−0.372923 | + | 0.927862i | \(0.621645\pi\) | |||||||
\(752\) | −6.06588 | − | 2.70070i | −0.221200 | − | 0.0984845i | ||||
\(753\) | 3.30847 | − | 0.703236i | 0.120567 | − | 0.0256274i | ||||
\(754\) | 1.04711 | + | 1.16294i | 0.0381336 | + | 0.0423517i | ||||
\(755\) | −5.18502 | + | 3.76714i | −0.188702 | + | 0.137100i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 3.51868 | + | 10.8294i | 0.127889 | + | 0.393600i | 0.994416 | − | 0.105528i | \(-0.0336534\pi\) |
−0.866528 | + | 0.499129i | \(0.833653\pi\) | |||||||
\(758\) | −11.2084 | + | 19.4135i | −0.407107 | + | 0.705130i | ||||
\(759\) | 32.0956 | − | 7.46003i | 1.16499 | − | 0.270782i | ||||
\(760\) | −17.1518 | − | 29.7079i | −0.622163 | − | 1.07762i | ||||
\(761\) | −7.31816 | − | 1.55552i | −0.265283 | − | 0.0563876i | 0.0733498 | − | 0.997306i | \(-0.476631\pi\) |
−0.338633 | + | 0.940919i | \(0.609964\pi\) | |||||||
\(762\) | 29.8855 | + | 21.7131i | 1.08264 | + | 0.786582i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −6.08911 | + | 18.7403i | −0.220296 | + | 0.678002i | ||||
\(765\) | −17.6188 | − | 19.5676i | −0.637008 | − | 0.707469i | ||||
\(766\) | 3.76033 | + | 1.67421i | 0.135866 | + | 0.0604916i | ||||
\(767\) | 0.0973485 | − | 0.926209i | 0.00351505 | − | 0.0334435i | ||||
\(768\) | −27.7491 | − | 5.89826i | −1.00131 | − | 0.212835i | ||||
\(769\) | 26.8378 | 0.967798 | 0.483899 | − | 0.875124i | \(-0.339220\pi\) | ||||
0.483899 | + | 0.875124i | \(0.339220\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 41.0714 | 1.47915 | ||||||||
\(772\) | −2.66983 | − | 0.567489i | −0.0960891 | − | 0.0204244i | ||||
\(773\) | 0.467013 | − | 4.44333i | 0.0167973 | − | 0.159816i | −0.982908 | − | 0.184098i | \(-0.941064\pi\) |
0.999705 | + | 0.0242827i | \(0.00773020\pi\) | |||||||
\(774\) | −35.3726 | − | 15.7489i | −1.27144 | − | 0.566083i | ||||
\(775\) | 0.811897 | + | 0.901703i | 0.0291642 | + | 0.0323901i | ||||
\(776\) | 6.25926 | − | 19.2640i | 0.224694 | − | 0.691538i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −4.01155 | − | 2.91456i | −0.143821 | − | 0.104492i | ||||
\(779\) | 36.5938 | + | 7.77825i | 1.31111 | + | 0.278685i | ||||
\(780\) | −13.2010 | − | 22.8648i | −0.472671 | − | 0.818690i | ||||
\(781\) | −25.4624 | − | 42.2344i | −0.911116 | − | 1.51127i | ||||
\(782\) | 1.89771 | − | 3.28694i | 0.0678621 | − | 0.117541i | ||||
\(783\) | 3.45951 | + | 10.6473i | 0.123633 | + | 0.380503i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −19.5196 | + | 14.1818i | −0.696685 | + | 0.506171i | ||||
\(786\) | 9.46340 | + | 10.5102i | 0.337548 | + | 0.374885i | ||||
\(787\) | −13.1912 | + | 2.80388i | −0.470217 | + | 0.0999476i | −0.436925 | − | 0.899498i | \(-0.643932\pi\) |
−0.0332918 | + | 0.999446i | \(0.510599\pi\) | |||||||
\(788\) | 1.27991 | + | 0.569853i | 0.0455949 | + | 0.0203002i | ||||
\(789\) | 27.4561 | − | 12.2242i | 0.977462 | − | 0.435194i | ||||
\(790\) | −1.79987 | − | 5.53944i | −0.0640366 | − | 0.197084i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 54.0930 | − | 1.02450i | 1.92211 | − | 0.0364041i | ||||
\(793\) | −6.33518 | + | 10.9728i | −0.224969 | + | 0.389657i | ||||
\(794\) | −7.98053 | + | 8.86328i | −0.283218 | + | 0.314546i | ||||
\(795\) | −0.469583 | + | 4.46779i | −0.0166544 | + | 0.158456i | ||||
\(796\) | 2.53465 | + | 24.1156i | 0.0898383 | + | 0.854754i | ||||
\(797\) | −16.2250 | + | 49.9354i | −0.574719 | + | 1.76880i | 0.0624156 | + | 0.998050i | \(0.480120\pi\) |
−0.637134 | + | 0.770753i | \(0.719880\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 6.37177 | − | 4.62936i | 0.225417 | − | 0.163775i | ||||
\(800\) | −2.13006 | + | 0.948363i | −0.0753090 | + | 0.0335297i | ||||
\(801\) | 38.1222 | − | 42.3390i | 1.34698 | − | 1.49597i | ||||
\(802\) | −8.59913 | − | 14.8941i | −0.303646 | − | 0.525930i | ||||
\(803\) | 24.1450 | − | 11.3027i | 0.852059 | − | 0.398862i | ||||
\(804\) | −4.39443 | −0.154980 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −4.11214 | − | 2.98764i | −0.144844 | − | 0.105235i | ||||
\(807\) | 1.56501 | + | 14.8901i | 0.0550910 | + | 0.524156i | ||||
\(808\) | 9.36930 | − | 1.99151i | 0.329611 | − | 0.0700609i | ||||
\(809\) | 1.26166 | − | 0.268173i | 0.0443575 | − | 0.00942847i | −0.185680 | − | 0.982610i | \(-0.559449\pi\) |
0.230037 | + | 0.973182i | \(0.426115\pi\) | |||||||
\(810\) | 2.62041 | + | 24.9315i | 0.0920717 | + | 0.876004i | ||||
\(811\) | −27.6585 | − | 20.0951i | −0.971220 | − | 0.705633i | −0.0154910 | − | 0.999880i | \(-0.504931\pi\) |
−0.955729 | + | 0.294247i | \(0.904931\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −62.9596 | −2.20809 | ||||||||
\(814\) | 2.28688 | + | 2.44509i | 0.0801551 | + | 0.0857005i | ||||
\(815\) | −19.5116 | − | 33.7950i | −0.683460 | − | 1.18379i | ||||
\(816\) | −5.68097 | + | 6.30936i | −0.198874 | + | 0.220872i | ||||
\(817\) | −51.8080 | + | 23.0664i | −1.81253 | + | 0.806992i | ||||
\(818\) | 0.724728 | − | 0.526545i | 0.0253395 | − | 0.0184102i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −5.71550 | + | 17.5905i | −0.199594 | + | 0.614287i | ||||
\(821\) | −4.14559 | − | 39.4427i | −0.144682 | − | 1.37656i | −0.790217 | − | 0.612828i | \(-0.790032\pi\) |
0.645534 | − | 0.763731i | \(-0.276635\pi\) | |||||||
\(822\) | 3.04820 | − | 29.0017i | 0.106318 | − | 1.01155i | ||||
\(823\) | −6.17416 | + | 6.85710i | −0.215218 | + | 0.239024i | −0.841081 | − | 0.540909i | \(-0.818080\pi\) |
0.625863 | + | 0.779933i | \(0.284747\pi\) | |||||||
\(824\) | 20.9620 | − | 36.3073i | 0.730247 | − | 1.26482i | ||||
\(825\) | 3.35790 | − | 2.53818i | 0.116907 | − | 0.0883681i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −7.94043 | − | 24.4381i | −0.276116 | − | 0.849797i | −0.988922 | − | 0.148436i | \(-0.952576\pi\) |
0.712806 | − | 0.701361i | \(-0.247424\pi\) | |||||||
\(828\) | 30.7574 | − | 13.6941i | 1.06890 | − | 0.475903i | ||||
\(829\) | −9.99284 | − | 4.44910i | −0.347066 | − | 0.154524i | 0.225798 | − | 0.974174i | \(-0.427501\pi\) |
−0.572864 | + | 0.819651i | \(0.694168\pi\) | |||||||
\(830\) | 5.68973 | − | 1.20939i | 0.197494 | − | 0.0419785i | ||||
\(831\) | 24.3758 | + | 27.0721i | 0.845587 | + | 0.939120i | ||||
\(832\) | 1.72547 | − | 1.25363i | 0.0598200 | − | 0.0434618i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 9.27333 | + | 28.5404i | 0.321109 | + | 0.988272i | ||||
\(835\) | −21.3641 | + | 37.0037i | −0.739334 | + | 1.28056i | ||||
\(836\) | 22.6715 | − | 26.1589i | 0.784110 | − | 0.904723i | ||||
\(837\) | −18.1815 | − | 31.4913i | −0.628444 | − | 1.08850i | ||||
\(838\) | 24.5415 | + | 5.21646i | 0.847773 | + | 0.180200i | ||||
\(839\) | −28.1031 | − | 20.4181i | −0.970228 | − | 0.704912i | −0.0147243 | − | 0.999892i | \(-0.504687\pi\) |
−0.955503 | + | 0.294980i | \(0.904687\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −8.69756 | + | 26.7684i | −0.299916 | + | 0.923047i | ||||
\(842\) | 3.70239 | + | 4.11192i | 0.127593 | + | 0.141706i | ||||
\(843\) | −34.6460 | − | 15.4254i | −1.19327 | − | 0.531279i | ||||
\(844\) | 2.39504 | − | 22.7873i | 0.0824407 | − | 0.784371i | ||||
\(845\) | −13.8563 | − | 2.94525i | −0.476671 | − | 0.101320i | ||||
\(846\) | −20.1996 | −0.694478 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 1.00771 | 0.0346050 | ||||||||
\(849\) | −67.5447 | − | 14.3571i | −2.31813 | − | 0.492733i | ||||
\(850\) | 0.0506793 | − | 0.482181i | 0.00173828 | − | 0.0165387i | ||||
\(851\) | 4.35683 | + | 1.93979i | 0.149350 | + | 0.0664950i | ||||
\(852\) | −48.4660 | − | 53.8270i | −1.66042 | − | 1.84408i | ||||
\(853\) | 6.37880 | − | 19.6319i | 0.218406 | − | 0.672185i | −0.780488 | − | 0.625171i | \(-0.785029\pi\) |
0.998894 | − | 0.0470143i | \(-0.0149706\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 80.0191 | + | 58.1373i | 2.73659 | + | 1.98825i | ||||
\(856\) | −35.8380 | − | 7.61760i | −1.22492 | − | 0.260364i | ||||
\(857\) | −17.0756 | − | 29.5758i | −0.583291 | − | 1.01029i | −0.995086 | − | 0.0990131i | \(-0.968431\pi\) |
0.411795 | − | 0.911276i | \(-0.364902\pi\) | |||||||
\(858\) | −11.5485 | + | 13.3249i | −0.394260 | + | 0.454905i | ||||
\(859\) | −16.7246 | + | 28.9679i | −0.570637 | + | 0.988373i | 0.425863 | + | 0.904787i | \(0.359970\pi\) |
−0.996501 | + | 0.0835852i | \(0.973363\pi\) | |||||||
\(860\) | −8.66399 | − | 26.6650i | −0.295440 | − | 0.909269i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −17.6944 | + | 12.8557i | −0.602673 | + | 0.437868i | ||||
\(863\) | −22.7732 | − | 25.2922i | −0.775208 | − | 0.860956i | 0.218162 | − | 0.975913i | \(-0.429994\pi\) |
−0.993371 | + | 0.114956i | \(0.963327\pi\) | |||||||
\(864\) | 68.3495 | − | 14.5281i | 2.32530 | − | 0.494257i | ||||
\(865\) | 11.7312 | + | 5.22307i | 0.398873 | + | 0.177590i | ||||
\(866\) | −9.66420 | + | 4.30278i | −0.328403 | + | 0.146214i | ||||
\(867\) | 13.3822 | + | 41.1861i | 0.454483 | + | 1.39875i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 10.7332 | − | 8.11305i | 0.364099 | − | 0.275216i | ||||
\(870\) | 2.08309 | − | 3.60802i | 0.0706235 | − | 0.122323i | ||||
\(871\) | 1.52617 | − | 1.69498i | 0.0517122 | − | 0.0574322i | ||||
\(872\) | −4.70564 | + | 44.7712i | −0.159353 | + | 1.51614i | ||||
\(873\) | 6.10478 | + | 58.0831i | 0.206616 | + | 1.96582i | ||||
\(874\) | −4.40569 | + | 13.5593i | −0.149025 | + | 0.458651i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 31.6773 | − | 23.0149i | 1.07028 | − | 0.777602i | ||||
\(877\) | 7.18692 | − | 3.19982i | 0.242685 | − | 0.108050i | −0.281790 | − | 0.959476i | \(-0.590928\pi\) |
0.524475 | + | 0.851426i | \(0.324262\pi\) | |||||||
\(878\) | 9.27401 | − | 10.2998i | 0.312983 | − | 0.347602i | ||||
\(879\) | −2.22485 | − | 3.85356i | −0.0750425 | − | 0.129977i | ||||
\(880\) | 7.33309 | + | 7.84041i | 0.247198 | + | 0.264300i | ||||
\(881\) | −13.3289 | −0.449063 | −0.224531 | − | 0.974467i | \(-0.572085\pi\) | ||||
−0.224531 | + | 0.974467i | \(0.572085\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 13.8340 | + | 10.0510i | 0.465552 | + | 0.338243i | 0.795705 | − | 0.605684i | \(-0.207100\pi\) |
−0.330153 | + | 0.943927i | \(0.607100\pi\) | |||||||
\(884\) | −0.734292 | − | 6.98632i | −0.0246969 | − | 0.234975i | ||||
\(885\) | −2.42524 | + | 0.515501i | −0.0815237 | + | 0.0173284i | ||||
\(886\) | −19.7158 | + | 4.19072i | −0.662365 | + | 0.140790i | ||||
\(887\) | −2.77193 | − | 26.3732i | −0.0930724 | − | 0.885525i | −0.937061 | − | 0.349165i | \(-0.886465\pi\) |
0.843989 | − | 0.536361i | \(-0.180201\pi\) | |||||||
\(888\) | 9.10614 | + | 6.61600i | 0.305582 | + | 0.222018i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −11.9274 | −0.399808 | ||||||||
\(891\) | −52.4465 | + | 24.5510i | −1.75702 | + | 0.822490i | ||||
\(892\) | 1.43149 | + | 2.47942i | 0.0479299 | + | 0.0830170i | ||||
\(893\) | −19.7963 | + | 21.9860i | −0.662459 | + | 0.735735i | ||||
\(894\) | −5.03875 | + | 2.24339i | −0.168521 | + | 0.0750303i | ||||
\(895\) | −2.80781 | + | 2.03999i | −0.0938548 | + | 0.0681895i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −7.76209 | + | 23.8892i | −0.259168 | + | 0.797639i | ||||
\(898\) | −2.54788 | − | 24.2414i | −0.0850237 | − | 0.808946i | ||||
\(899\) | −0.289978 | + | 2.75896i | −0.00967132 | + | 0.0920165i | ||||
\(900\) | 2.87784 | − | 3.19616i | 0.0959279 | − | 0.106539i | ||||
\(901\) | −0.597649 | + | 1.03516i | −0.0199106 | + | 0.0344861i | ||||
\(902\) | 12.3505 | − | 0.233913i | 0.411225 | − | 0.00778846i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −1.23528 | − | 3.80180i | −0.0410848 | − | 0.126446i | ||||
\(905\) | 4.75278 | − | 2.11607i | 0.157988 | − | 0.0703407i | ||||
\(906\) | 5.74315 | + | 2.55702i | 0.190803 | + | 0.0849511i | ||||
\(907\) | −8.65911 | + | 1.84055i | −0.287521 | + | 0.0611145i | −0.349414 | − | 0.936968i | \(-0.613619\pi\) |
0.0618934 | + | 0.998083i | \(0.480286\pi\) | |||||||
\(908\) | −22.7762 | − | 25.2956i | −0.755856 | − | 0.839463i | ||||
\(909\) | −22.3437 | + | 16.2337i | −0.741094 | + | 0.538436i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −17.2740 | − | 53.1639i | −0.572313 | − | 1.76140i | −0.645151 | − | 0.764055i | \(-0.723206\pi\) |
0.0728381 | − | 0.997344i | \(-0.476794\pi\) | |||||||
\(912\) | 15.9460 | − | 27.6194i | 0.528026 | − | 0.914568i | ||||
\(913\) | 6.93754 | + | 11.5073i | 0.229599 | + | 0.380836i | ||||
\(914\) | 3.27974 | + | 5.68068i | 0.108484 | + | 0.187900i | ||||
\(915\) | 32.9951 | + | 7.01332i | 1.09078 | + | 0.231853i | ||||
\(916\) | 25.4189 | + | 18.4679i | 0.839865 | + | 0.610197i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −4.49001 | + | 13.8188i | −0.148192 | + | 0.456090i | ||||
\(919\) | 32.3709 | + | 35.9516i | 1.06782 | + | 1.18593i | 0.981855 | + | 0.189634i | \(0.0607303\pi\) |
0.0859639 | + | 0.996298i | \(0.472603\pi\) | |||||||
\(920\) | −14.7401 | − | 6.56270i | −0.485966 | − | 0.216366i | ||||
\(921\) | −9.67016 | + | 92.0054i | −0.318643 | + | 3.03168i | ||||
\(922\) | −14.3204 | − | 3.04390i | −0.471618 | − | 0.100246i | ||||
\(923\) | 37.5937 | 1.23741 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.609223 | 0.0200311 | ||||||||
\(926\) | −4.42781 | − | 0.941159i | −0.145507 | − | 0.0309284i | ||||
\(927\) | −12.6355 | + | 120.219i | −0.415005 | + | 3.94851i | ||||
\(928\) | −4.87004 | − | 2.16828i | −0.159867 | − | 0.0711773i | ||||
\(929\) | −0.578326 | − | 0.642296i | −0.0189743 | − | 0.0210731i | 0.733583 | − | 0.679600i | \(-0.237847\pi\) |
−0.752557 | + | 0.658527i | \(0.771180\pi\) | |||||||
\(930\) | −4.18166 | + | 12.8698i | −0.137122 | + | 0.422018i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 26.4366 | + | 19.2073i | 0.865959 | + | 0.629156i | ||||
\(933\) | −82.5488 | − | 17.5463i | −2.70253 | − | 0.574440i | ||||
\(934\) | −10.0539 | − | 17.4139i | −0.328975 | − | 0.569801i | ||||
\(935\) | −12.4030 | + | 2.88285i | −0.405622 | + | 0.0942794i | ||||
\(936\) | −20.6212 | + | 35.7170i | −0.674026 | + | 1.16745i | ||||
\(937\) | −16.5194 | − | 50.8416i | −0.539667 | − | 1.66092i | −0.733344 | − | 0.679858i | \(-0.762042\pi\) |
0.193678 | − | 0.981065i | \(-0.437958\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 11.4120 | − | 8.29134i | 0.372418 | − | 0.270578i | ||||
\(940\) | −9.78708 | − | 10.8696i | −0.319219 | − | 0.354529i | ||||
\(941\) | 13.4006 | − | 2.84839i | 0.436848 | − | 0.0928548i | 0.0157621 | − | 0.999876i | \(-0.494983\pi\) |
0.421086 | + | 0.907021i | \(0.361649\pi\) | |||||||
\(942\) | 21.6208 | + | 9.62618i | 0.704442 | + | 0.313638i | ||||
\(943\) | 16.0754 | − | 7.15723i | 0.523487 | − | 0.233071i | ||||
\(944\) | 0.171867 | + | 0.528952i | 0.00559379 | + | 0.0172159i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −14.9378 | + | 11.2912i | −0.485670 | + | 0.367110i | ||||
\(947\) | −15.8222 | + | 27.4049i | −0.514152 | + | 0.890538i | 0.485713 | + | 0.874119i | \(0.338560\pi\) |
−0.999865 | + | 0.0164197i | \(0.994773\pi\) | |||||||
\(948\) | 13.2226 | − | 14.6851i | 0.429449 | − | 0.476951i | ||||
\(949\) | −2.12429 | + | 20.2112i | −0.0689573 | + | 0.656085i | ||||
\(950\) | 0.190371 | + | 1.81126i | 0.00617646 | + | 0.0587651i | ||||
\(951\) | 10.6242 | − | 32.6980i | 0.344514 | − | 1.06031i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −26.4856 | + | 19.2429i | −0.857951 | + | 0.623338i | −0.927327 | − | 0.374253i | \(-0.877899\pi\) |
0.0693755 | + | 0.997591i | \(0.477899\pi\) | |||||||
\(954\) | 2.80058 | − | 1.24690i | 0.0906720 | − | 0.0403698i | ||||
\(955\) | −18.2191 | + | 20.2343i | −0.589555 | + | 0.654767i | ||||
\(956\) | 12.0210 | + | 20.8210i | 0.388787 | + | 0.673398i | ||||
\(957\) | 9.44970 | + | 1.82228i | 0.305465 | + | 0.0589061i | ||||
\(958\) | 4.02083 | 0.129907 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −4.59371 | − | 3.33753i | −0.148261 | − | 0.107718i | ||||
\(961\) | 2.29851 | + | 21.8688i | 0.0741454 | + | 0.705446i | ||||
\(962\) | −2.49632 | + | 0.530609i | −0.0804846 | + | 0.0171075i | ||||
\(963\) | 103.333 | − | 21.9641i | 3.32986 | − | 0.707783i | ||||
\(964\) | −2.28413 | − | 21.7321i | −0.0735670 | − | 0.699943i | ||||
\(965\) | −3.05127 | − | 2.21688i | −0.0982238 | − | 0.0713637i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −32.3487 | −1.04026 | −0.520132 | − | 0.854086i | \(-0.674117\pi\) | ||||
−0.520132 | + | 0.854086i | \(0.674117\pi\) | |||||||
\(968\) | 12.2147 | − | 23.1379i | 0.392595 | − | 0.743681i | ||||
\(969\) | 18.9144 | + | 32.7606i | 0.607617 | + | 1.05242i | ||||
\(970\) | 8.18138 | − | 9.08635i | 0.262688 | − | 0.291745i | ||||
\(971\) | 26.8829 | − | 11.9690i | 0.862714 | − | 0.384105i | 0.0728173 | − | 0.997345i | \(-0.476801\pi\) |
0.789896 | + | 0.613240i | \(0.210134\pi\) | |||||||
\(972\) | −23.1941 | + | 16.8515i | −0.743950 | + | 0.540511i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 1.31778 | − | 4.05570i | 0.0422243 | − | 0.129953i | ||||
\(975\) | 0.335402 | + | 3.19114i | 0.0107415 | + | 0.102198i | ||||
\(976\) | 0.790931 | − | 7.52520i | 0.0253171 | − | 0.240876i | ||||
\(977\) | 9.16337 | − | 10.1770i | 0.293162 | − | 0.325590i | −0.578513 | − | 0.815673i | \(-0.696367\pi\) |
0.871676 | + | 0.490083i | \(0.163034\pi\) | |||||||
\(978\) | −19.1390 | + | 33.1497i | −0.611997 | + | 1.06001i | ||||
\(979\) | −9.00874 | − | 26.0377i | −0.287920 | − | 0.832168i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −40.1108 | − | 123.448i | −1.28064 | − | 3.94141i | ||||
\(982\) | 7.57270 | − | 3.37158i | 0.241654 | − | 0.107592i | ||||
\(983\) | −15.5595 | − | 6.92751i | −0.496269 | − | 0.220953i | 0.143311 | − | 0.989678i | \(-0.454225\pi\) |
−0.639580 | + | 0.768724i | \(0.720892\pi\) | |||||||
\(984\) | 40.6230 | − | 8.63469i | 1.29501 | − | 0.275264i | ||||
\(985\) | 1.29540 | + | 1.43869i | 0.0412749 | + | 0.0458404i | ||||
\(986\) | 0.896797 | − | 0.651561i | 0.0285598 | − | 0.0207499i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 8.15432 | + | 25.0964i | 0.259423 | + | 0.798423i | ||||
\(989\) | −13.3372 | + | 23.1007i | −0.424099 | + | 0.734561i | ||||
\(990\) | 30.0810 | + | 12.7160i | 0.956038 | + | 0.404141i | ||||
\(991\) | −11.6101 | − | 20.1093i | −0.368807 | − | 0.638792i | 0.620572 | − | 0.784149i | \(-0.286900\pi\) |
−0.989379 | + | 0.145357i | \(0.953567\pi\) | |||||||
\(992\) | 16.9369 | + | 3.60005i | 0.537747 | + | 0.114302i | ||||
\(993\) | 41.9696 | + | 30.4927i | 1.33187 | + | 0.967657i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −10.3540 | + | 31.8665i | −0.328245 | + | 1.01023i | ||||
\(996\) | 13.2052 | + | 14.6658i | 0.418422 | + | 0.464704i | ||||
\(997\) | 16.7888 | + | 7.47485i | 0.531706 | + | 0.236731i | 0.654986 | − | 0.755641i | \(-0.272675\pi\) |
−0.123280 | + | 0.992372i | \(0.539341\pi\) | |||||||
\(998\) | 0.999680 | − | 9.51132i | 0.0316443 | − | 0.301076i | ||||
\(999\) | −17.8587 | − | 3.79598i | −0.565024 | − | 0.120100i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 539.2.q.f.324.2 | 32 | ||
7.2 | even | 3 | 539.2.f.e.148.3 | 16 | |||
7.3 | odd | 6 | 539.2.q.g.214.3 | 32 | |||
7.4 | even | 3 | inner | 539.2.q.f.214.3 | 32 | ||
7.5 | odd | 6 | 77.2.f.b.71.3 | yes | 16 | ||
7.6 | odd | 2 | 539.2.q.g.324.2 | 32 | |||
11.9 | even | 5 | inner | 539.2.q.f.471.3 | 32 | ||
21.5 | even | 6 | 693.2.m.i.379.2 | 16 | |||
77.5 | odd | 30 | 847.2.f.w.323.2 | 16 | |||
77.9 | even | 15 | 539.2.f.e.295.3 | 16 | |||
77.19 | even | 30 | 847.2.a.o.1.4 | 8 | |||
77.20 | odd | 10 | 539.2.q.g.471.3 | 32 | |||
77.26 | odd | 30 | 847.2.f.w.729.2 | 16 | |||
77.30 | odd | 30 | 5929.2.a.bs.1.4 | 8 | |||
77.31 | odd | 30 | 539.2.q.g.361.2 | 32 | |||
77.40 | even | 30 | 847.2.f.v.729.3 | 16 | |||
77.47 | odd | 30 | 847.2.a.p.1.5 | 8 | |||
77.53 | even | 15 | inner | 539.2.q.f.361.2 | 32 | ||
77.54 | even | 6 | 847.2.f.x.148.2 | 16 | |||
77.58 | even | 15 | 5929.2.a.bt.1.5 | 8 | |||
77.61 | even | 30 | 847.2.f.v.323.3 | 16 | |||
77.68 | even | 30 | 847.2.f.x.372.2 | 16 | |||
77.75 | odd | 30 | 77.2.f.b.64.3 | ✓ | 16 | ||
231.47 | even | 30 | 7623.2.a.ct.1.4 | 8 | |||
231.152 | even | 30 | 693.2.m.i.64.2 | 16 | |||
231.173 | odd | 30 | 7623.2.a.cw.1.5 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
77.2.f.b.64.3 | ✓ | 16 | 77.75 | odd | 30 | ||
77.2.f.b.71.3 | yes | 16 | 7.5 | odd | 6 | ||
539.2.f.e.148.3 | 16 | 7.2 | even | 3 | |||
539.2.f.e.295.3 | 16 | 77.9 | even | 15 | |||
539.2.q.f.214.3 | 32 | 7.4 | even | 3 | inner | ||
539.2.q.f.324.2 | 32 | 1.1 | even | 1 | trivial | ||
539.2.q.f.361.2 | 32 | 77.53 | even | 15 | inner | ||
539.2.q.f.471.3 | 32 | 11.9 | even | 5 | inner | ||
539.2.q.g.214.3 | 32 | 7.3 | odd | 6 | |||
539.2.q.g.324.2 | 32 | 7.6 | odd | 2 | |||
539.2.q.g.361.2 | 32 | 77.31 | odd | 30 | |||
539.2.q.g.471.3 | 32 | 77.20 | odd | 10 | |||
693.2.m.i.64.2 | 16 | 231.152 | even | 30 | |||
693.2.m.i.379.2 | 16 | 21.5 | even | 6 | |||
847.2.a.o.1.4 | 8 | 77.19 | even | 30 | |||
847.2.a.p.1.5 | 8 | 77.47 | odd | 30 | |||
847.2.f.v.323.3 | 16 | 77.61 | even | 30 | |||
847.2.f.v.729.3 | 16 | 77.40 | even | 30 | |||
847.2.f.w.323.2 | 16 | 77.5 | odd | 30 | |||
847.2.f.w.729.2 | 16 | 77.26 | odd | 30 | |||
847.2.f.x.148.2 | 16 | 77.54 | even | 6 | |||
847.2.f.x.372.2 | 16 | 77.68 | even | 30 | |||
5929.2.a.bs.1.4 | 8 | 77.30 | odd | 30 | |||
5929.2.a.bt.1.5 | 8 | 77.58 | even | 15 | |||
7623.2.a.ct.1.4 | 8 | 231.47 | even | 30 | |||
7623.2.a.cw.1.5 | 8 | 231.173 | odd | 30 |