Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [841,2,Mod(190,841)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(841, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("841.190");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 841 = 29^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 841.d (of order \(7\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.71541880999\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{7})\) |
Coefficient field: | 12.0.4413675765625.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - x^{11} + 2x^{10} - 3x^{9} + 5x^{8} - 8x^{7} + 13x^{6} + 8x^{5} + 5x^{4} + 3x^{3} + 2x^{2} + x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 190.2 | ||
Root | \(-0.556829 - 0.268155i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 841.190 |
Dual form | 841.2.d.g.571.2 |
$q$-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 \(\left(\mathbb{Z}/841\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.556829 | + | 0.268155i | 0.393738 | + | 0.189614i | 0.620268 | − | 0.784390i | \(-0.287024\pi\) |
−0.226530 | + | 0.974004i | \(0.572738\pi\) | |||||||
\(3\) | 0.385338 | − | 0.483198i | 0.222475 | − | 0.278975i | −0.658050 | − | 0.752974i | \(-0.728619\pi\) |
0.880525 | + | 0.473999i | \(0.157190\pi\) | |||||||
\(4\) | −1.00883 | − | 1.26503i | −0.504414 | − | 0.632515i | ||||
\(5\) | −3.47243 | − | 1.67223i | −1.55292 | − | 0.747845i | −0.556374 | − | 0.830932i | \(-0.687808\pi\) |
−0.996542 | + | 0.0830872i | \(0.973522\pi\) | |||||||
\(6\) | 0.344139 | − | 0.165729i | 0.140494 | − | 0.0676585i | ||||
\(7\) | −1.39417 | + | 1.74823i | −0.526945 | + | 0.660768i | −0.972067 | − | 0.234702i | \(-0.924589\pi\) |
0.445122 | + | 0.895470i | \(0.353160\pi\) | |||||||
\(8\) | −0.497572 | − | 2.18001i | −0.175918 | − | 0.770748i | ||||
\(9\) | 0.582567 | + | 2.55239i | 0.194189 | + | 0.850798i | ||||
\(10\) | −1.48513 | − | 1.86230i | −0.469640 | − | 0.588910i | ||||
\(11\) | −0.307516 | + | 1.34732i | −0.0927197 | + | 0.406231i | −0.999895 | − | 0.0145224i | \(-0.995377\pi\) |
0.907175 | + | 0.420754i | \(0.138234\pi\) | |||||||
\(12\) | −1.00000 | −0.288675 | ||||||||
\(13\) | 0.0525301 | − | 0.230149i | 0.0145692 | − | 0.0638319i | −0.967121 | − | 0.254318i | \(-0.918149\pi\) |
0.981690 | + | 0.190486i | \(0.0610063\pi\) | |||||||
\(14\) | −1.24511 | + | 0.599613i | −0.332769 | + | 0.160253i | ||||
\(15\) | −2.14608 | + | 1.03350i | −0.554115 | + | 0.266848i | ||||
\(16\) | −0.412577 | + | 1.80762i | −0.103144 | + | 0.451904i | ||||
\(17\) | 4.38197 | 1.06278 | 0.531391 | − | 0.847126i | \(-0.321669\pi\) | ||||
0.531391 | + | 0.847126i | \(0.321669\pi\) | |||||||
\(18\) | −0.360046 | + | 1.57747i | −0.0848638 | + | 0.371812i | ||||
\(19\) | 3.02648 | + | 3.79509i | 0.694323 | + | 0.870653i | 0.996585 | − | 0.0825715i | \(-0.0263133\pi\) |
−0.302262 | + | 0.953225i | \(0.597742\pi\) | |||||||
\(20\) | 1.38766 | + | 6.07972i | 0.310289 | + | 1.35947i | ||||
\(21\) | 0.307516 | + | 1.34732i | 0.0671056 | + | 0.294009i | ||||
\(22\) | −0.532524 | + | 0.667764i | −0.113534 | + | 0.142368i | ||||
\(23\) | 1.11366 | − | 0.536310i | 0.232214 | − | 0.111828i | −0.314159 | − | 0.949370i | \(-0.601722\pi\) |
0.546373 | + | 0.837542i | \(0.316008\pi\) | |||||||
\(24\) | −1.24511 | − | 0.599613i | −0.254157 | − | 0.122395i | ||||
\(25\) | 6.14393 | + | 7.70425i | 1.22879 | + | 1.54085i | ||||
\(26\) | 0.0909659 | − | 0.114068i | 0.0178399 | − | 0.0223705i | ||||
\(27\) | 3.12829 | + | 1.50650i | 0.602039 | + | 0.289927i | ||||
\(28\) | 3.61803 | 0.683744 | ||||||||
\(29\) | 0 | 0 | ||||||||
\(30\) | −1.47214 | −0.268774 | ||||||||
\(31\) | −9.09093 | − | 4.37796i | −1.63278 | − | 0.786305i | −0.999928 | − | 0.0120317i | \(-0.996170\pi\) |
−0.632851 | − | 0.774273i | \(-0.718116\pi\) | |||||||
\(32\) | −3.50279 | + | 4.39236i | −0.619211 | + | 0.776466i | ||||
\(33\) | 0.532524 | + | 0.667764i | 0.0927005 | + | 0.116243i | ||||
\(34\) | 2.44001 | + | 1.17505i | 0.418458 | + | 0.201519i | ||||
\(35\) | 7.76458 | − | 3.73922i | 1.31245 | − | 0.632044i | ||||
\(36\) | 2.64115 | − | 3.31189i | 0.440191 | − | 0.551982i | ||||
\(37\) | 1.04767 | + | 4.59016i | 0.172237 | + | 0.754618i | 0.985075 | + | 0.172128i | \(0.0550642\pi\) |
−0.812838 | + | 0.582490i | \(0.802079\pi\) | |||||||
\(38\) | 0.667563 | + | 2.92478i | 0.108293 | + | 0.474463i | ||||
\(39\) | −0.0909659 | − | 0.114068i | −0.0145662 | − | 0.0182654i | ||||
\(40\) | −1.91769 | + | 8.40196i | −0.303214 | + | 1.32847i | ||||
\(41\) | −3.85410 | −0.601910 | −0.300955 | − | 0.953638i | \(-0.597305\pi\) | ||||
−0.300955 | + | 0.953638i | \(0.597305\pi\) | |||||||
\(42\) | −0.190056 | + | 0.832688i | −0.0293262 | + | 0.128487i | ||||
\(43\) | −6.51947 | + | 3.13961i | −0.994210 | + | 0.478786i | −0.858970 | − | 0.512026i | \(-0.828895\pi\) |
−0.135240 | + | 0.990813i | \(0.543181\pi\) | |||||||
\(44\) | 2.01463 | − | 0.970194i | 0.303717 | − | 0.146262i | ||||
\(45\) | 2.24527 | − | 9.83719i | 0.334706 | − | 1.46644i | ||||
\(46\) | 0.763932 | 0.112636 | ||||||||
\(47\) | −1.55765 | + | 6.82450i | −0.227206 | + | 0.995455i | 0.724700 | + | 0.689065i | \(0.241978\pi\) |
−0.951906 | + | 0.306390i | \(0.900879\pi\) | |||||||
\(48\) | 0.714456 | + | 0.895899i | 0.103123 | + | 0.129312i | ||||
\(49\) | 0.445042 | + | 1.94986i | 0.0635774 | + | 0.278551i | ||||
\(50\) | 1.35519 | + | 5.93748i | 0.191653 | + | 0.839686i | ||||
\(51\) | 1.68854 | − | 2.11736i | 0.236443 | − | 0.296490i | ||||
\(52\) | −0.344139 | + | 0.165729i | −0.0477236 | + | 0.0229825i | ||||
\(53\) | 1.80194 | + | 0.867767i | 0.247515 | + | 0.119197i | 0.553529 | − | 0.832830i | \(-0.313281\pi\) |
−0.306013 | + | 0.952027i | \(0.598995\pi\) | |||||||
\(54\) | 1.33795 | + | 1.67773i | 0.182071 | + | 0.228310i | ||||
\(55\) | 3.32086 | − | 4.16422i | 0.447784 | − | 0.561503i | ||||
\(56\) | 4.50484 | + | 2.16942i | 0.601985 | + | 0.289901i | ||||
\(57\) | 3.00000 | 0.397360 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 6.09017 | 0.792873 | 0.396436 | − | 0.918062i | \(-0.370247\pi\) | ||||
0.396436 | + | 0.918062i | \(0.370247\pi\) | |||||||
\(60\) | 3.47243 | + | 1.67223i | 0.448288 | + | 0.215884i | ||||
\(61\) | 0.385338 | − | 0.483198i | 0.0493375 | − | 0.0618672i | −0.756551 | − | 0.653935i | \(-0.773117\pi\) |
0.805888 | + | 0.592068i | \(0.201688\pi\) | |||||||
\(62\) | −3.88812 | − | 4.87555i | −0.493792 | − | 0.619196i | ||||
\(63\) | −5.27436 | − | 2.54000i | −0.664507 | − | 0.320010i | ||||
\(64\) | 0.212690 | − | 0.102426i | 0.0265862 | − | 0.0128033i | ||||
\(65\) | −0.567270 | + | 0.711334i | −0.0703612 | + | 0.0882301i | ||||
\(66\) | 0.117461 | + | 0.514629i | 0.0144584 | + | 0.0633465i | ||||
\(67\) | 0.339982 | + | 1.48956i | 0.0415354 | + | 0.181978i | 0.991440 | − | 0.130561i | \(-0.0416777\pi\) |
−0.949905 | + | 0.312539i | \(0.898821\pi\) | |||||||
\(68\) | −4.42065 | − | 5.54332i | −0.536082 | − | 0.672226i | ||||
\(69\) | 0.169991 | − | 0.744779i | 0.0204645 | − | 0.0896608i | ||||
\(70\) | 5.32624 | 0.636607 | ||||||||
\(71\) | −2.33027 | + | 10.2096i | −0.276552 | + | 1.21165i | 0.625568 | + | 0.780169i | \(0.284867\pi\) |
−0.902120 | + | 0.431484i | \(0.857990\pi\) | |||||||
\(72\) | 5.27436 | − | 2.54000i | 0.621590 | − | 0.299342i | ||||
\(73\) | −12.3507 | + | 5.94777i | −1.44554 | + | 0.696133i | −0.981814 | − | 0.189847i | \(-0.939201\pi\) |
−0.463722 | + | 0.885981i | \(0.653486\pi\) | |||||||
\(74\) | −0.647498 | + | 2.83687i | −0.0752701 | + | 0.329780i | ||||
\(75\) | 6.09017 | 0.703232 | ||||||||
\(76\) | 1.74770 | − | 7.65718i | 0.200475 | − | 0.878339i | ||||
\(77\) | −1.92669 | − | 2.41599i | −0.219567 | − | 0.275328i | ||||
\(78\) | −0.0200647 | − | 0.0879092i | −0.00227188 | − | 0.00995376i | ||||
\(79\) | −1.35519 | − | 5.93748i | −0.152471 | − | 0.668018i | −0.992162 | − | 0.124955i | \(-0.960121\pi\) |
0.839692 | − | 0.543064i | \(-0.182736\pi\) | |||||||
\(80\) | 4.45539 | − | 5.58689i | 0.498128 | − | 0.624633i | ||||
\(81\) | −5.14291 | + | 2.47670i | −0.571435 | + | 0.275189i | ||||
\(82\) | −2.14608 | − | 1.03350i | −0.236995 | − | 0.114131i | ||||
\(83\) | −6.20015 | − | 7.77474i | −0.680555 | − | 0.853389i | 0.314850 | − | 0.949141i | \(-0.398046\pi\) |
−0.995405 | + | 0.0957523i | \(0.969474\pi\) | |||||||
\(84\) | 1.39417 | − | 1.74823i | 0.152116 | − | 0.190747i | ||||
\(85\) | −15.2161 | − | 7.32766i | −1.65041 | − | 0.794797i | ||||
\(86\) | −4.47214 | −0.482243 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 3.09017 | 0.329413 | ||||||||
\(89\) | 4.24195 | + | 2.04281i | 0.449645 | + | 0.216538i | 0.644981 | − | 0.764199i | \(-0.276865\pi\) |
−0.195336 | + | 0.980736i | \(0.562580\pi\) | |||||||
\(90\) | 3.88812 | − | 4.87555i | 0.409844 | − | 0.513929i | ||||
\(91\) | 0.329118 | + | 0.412701i | 0.0345009 | + | 0.0432628i | ||||
\(92\) | −1.80194 | − | 0.867767i | −0.187865 | − | 0.0904710i | ||||
\(93\) | −5.61850 | + | 2.70573i | −0.582612 | + | 0.280571i | ||||
\(94\) | −2.69737 | + | 3.38239i | −0.278212 | + | 0.348867i | ||||
\(95\) | −4.16297 | − | 18.2392i | −0.427111 | − | 1.87130i | ||||
\(96\) | 0.772623 | + | 3.38508i | 0.0788555 | + | 0.345489i | ||||
\(97\) | −2.22106 | − | 2.78512i | −0.225515 | − | 0.282786i | 0.656183 | − | 0.754602i | \(-0.272170\pi\) |
−0.881697 | + | 0.471816i | \(0.843599\pi\) | |||||||
\(98\) | −0.275051 | + | 1.20508i | −0.0277843 | + | 0.121731i | ||||
\(99\) | −3.61803 | −0.363626 | ||||||||
\(100\) | 3.54793 | − | 15.5445i | 0.354793 | − | 1.55445i | ||||
\(101\) | −0.556829 | + | 0.268155i | −0.0554066 | + | 0.0266824i | −0.461382 | − | 0.887202i | \(-0.652646\pi\) |
0.405975 | + | 0.913884i | \(0.366932\pi\) | |||||||
\(102\) | 1.50801 | − | 0.726218i | 0.149315 | − | 0.0719063i | ||||
\(103\) | −2.04282 | + | 8.95017i | −0.201285 | + | 0.881886i | 0.768871 | + | 0.639404i | \(0.220819\pi\) |
−0.970156 | + | 0.242482i | \(0.922038\pi\) | |||||||
\(104\) | −0.527864 | −0.0517613 | ||||||||
\(105\) | 1.18520 | − | 5.19270i | 0.115664 | − | 0.506755i | ||||
\(106\) | 0.770676 | + | 0.966397i | 0.0748546 | + | 0.0938648i | ||||
\(107\) | −1.50512 | − | 6.59435i | −0.145505 | − | 0.637500i | −0.994101 | − | 0.108458i | \(-0.965409\pi\) |
0.848596 | − | 0.529042i | \(-0.177448\pi\) | |||||||
\(108\) | −1.25013 | − | 5.47718i | −0.120294 | − | 0.527042i | ||||
\(109\) | −8.96701 | + | 11.2443i | −0.858884 | + | 1.07701i | 0.137369 | + | 0.990520i | \(0.456135\pi\) |
−0.996253 | + | 0.0864862i | \(0.972436\pi\) | |||||||
\(110\) | 2.96581 | − | 1.42826i | 0.282778 | − | 0.136179i | ||||
\(111\) | 2.62167 | + | 1.26253i | 0.248838 | + | 0.119834i | ||||
\(112\) | −2.58493 | − | 3.24139i | −0.244252 | − | 0.306283i | ||||
\(113\) | −4.95317 | + | 6.21108i | −0.465955 | + | 0.584289i | −0.958175 | − | 0.286181i | \(-0.907614\pi\) |
0.492220 | + | 0.870471i | \(0.336185\pi\) | |||||||
\(114\) | 1.67049 | + | 0.804465i | 0.156456 | + | 0.0753450i | ||||
\(115\) | −4.76393 | −0.444239 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0.618034 | 0.0571373 | ||||||||
\(118\) | 3.39119 | + | 1.63311i | 0.312184 | + | 0.150340i | ||||
\(119\) | −6.10919 | + | 7.66068i | −0.560028 | + | 0.702253i | ||||
\(120\) | 3.32086 | + | 4.16422i | 0.303151 | + | 0.380140i | ||||
\(121\) | 8.18996 | + | 3.94408i | 0.744542 | + | 0.358552i | ||||
\(122\) | 0.344139 | − | 0.165729i | 0.0311569 | − | 0.0150044i | ||||
\(123\) | −1.48513 | + | 1.86230i | −0.133910 | + | 0.167918i | ||||
\(124\) | 3.63293 | + | 15.9169i | 0.326247 | + | 1.42938i | ||||
\(125\) | −4.16297 | − | 18.2392i | −0.372347 | − | 1.63136i | ||||
\(126\) | −2.25581 | − | 2.82869i | −0.200963 | − | 0.252000i | ||||
\(127\) | 3.54793 | − | 15.5445i | 0.314828 | − | 1.37935i | −0.531666 | − | 0.846954i | \(-0.678434\pi\) |
0.846494 | − | 0.532398i | \(-0.178709\pi\) | |||||||
\(128\) | 11.3820 | 1.00603 | ||||||||
\(129\) | −0.995144 | + | 4.36001i | −0.0876175 | + | 0.383877i | ||||
\(130\) | −0.506620 | + | 0.243975i | −0.0444335 | + | 0.0213981i | ||||
\(131\) | 12.9075 | − | 6.21592i | 1.12773 | − | 0.543088i | 0.225460 | − | 0.974252i | \(-0.427612\pi\) |
0.902273 | + | 0.431165i | \(0.141897\pi\) | |||||||
\(132\) | 0.307516 | − | 1.34732i | 0.0267659 | − | 0.117269i | ||||
\(133\) | −10.8541 | −0.941170 | ||||||||
\(134\) | −0.210120 | + | 0.920597i | −0.0181516 | + | 0.0795275i | ||||
\(135\) | −8.34352 | − | 10.4624i | −0.718096 | − | 0.900464i | ||||
\(136\) | −2.18034 | − | 9.55271i | −0.186963 | − | 0.819138i | ||||
\(137\) | 1.59011 | + | 6.96674i | 0.135852 | + | 0.595208i | 0.996321 | + | 0.0857042i | \(0.0273140\pi\) |
−0.860468 | + | 0.509504i | \(0.829829\pi\) | |||||||
\(138\) | 0.294372 | − | 0.369131i | 0.0250586 | − | 0.0314225i | ||||
\(139\) | −1.16387 | + | 0.560489i | −0.0987180 | + | 0.0475401i | −0.482591 | − | 0.875846i | \(-0.660304\pi\) |
0.383873 | + | 0.923386i | \(0.374590\pi\) | |||||||
\(140\) | −12.5634 | − | 6.05019i | −1.06180 | − | 0.511335i | ||||
\(141\) | 2.69737 | + | 3.38239i | 0.227159 | + | 0.284849i | ||||
\(142\) | −4.03531 | + | 5.06012i | −0.338636 | + | 0.424636i | ||||
\(143\) | 0.293930 | + | 0.141549i | 0.0245797 | + | 0.0118369i | ||||
\(144\) | −4.85410 | −0.404508 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −8.47214 | −0.701159 | ||||||||
\(147\) | 1.11366 | + | 0.536310i | 0.0918530 | + | 0.0442341i | ||||
\(148\) | 4.74977 | − | 5.95602i | 0.390428 | − | 0.489582i | ||||
\(149\) | 5.99675 | + | 7.51968i | 0.491273 | + | 0.616036i | 0.964236 | − | 0.265046i | \(-0.0853871\pi\) |
−0.472963 | + | 0.881082i | \(0.656816\pi\) | |||||||
\(150\) | 3.39119 | + | 1.63311i | 0.276889 | + | 0.133343i | ||||
\(151\) | −2.40898 | + | 1.16010i | −0.196040 | + | 0.0944078i | −0.529328 | − | 0.848417i | \(-0.677556\pi\) |
0.333288 | + | 0.942825i | \(0.391842\pi\) | |||||||
\(152\) | 6.76742 | − | 8.48608i | 0.548910 | − | 0.688312i | ||||
\(153\) | 2.55279 | + | 11.1845i | 0.206381 | + | 0.904214i | ||||
\(154\) | −0.424977 | − | 1.86195i | −0.0342456 | − | 0.150040i | ||||
\(155\) | 24.2466 | + | 30.4043i | 1.94753 | + | 2.44213i | ||||
\(156\) | −0.0525301 | + | 0.230149i | −0.00420577 | + | 0.0184267i | ||||
\(157\) | −14.5623 | −1.16220 | −0.581099 | − | 0.813833i | \(-0.697377\pi\) | ||||
−0.581099 | + | 0.813833i | \(0.697377\pi\) | |||||||
\(158\) | 0.837554 | − | 3.66956i | 0.0666322 | − | 0.291935i | ||||
\(159\) | 1.11366 | − | 0.536310i | 0.0883189 | − | 0.0425321i | ||||
\(160\) | 19.5082 | − | 9.39466i | 1.54226 | − | 0.742713i | ||||
\(161\) | −0.615033 | + | 2.69463i | −0.0484714 | + | 0.212367i | ||||
\(162\) | −3.52786 | −0.277175 | ||||||||
\(163\) | −1.34279 | + | 5.88315i | −0.105175 | + | 0.460804i | 0.894724 | + | 0.446619i | \(0.147372\pi\) |
−0.999899 | + | 0.0141841i | \(0.995485\pi\) | |||||||
\(164\) | 3.88812 | + | 4.87555i | 0.303612 | + | 0.380717i | ||||
\(165\) | −0.732494 | − | 3.20926i | −0.0570245 | − | 0.249841i | ||||
\(166\) | −1.36759 | − | 5.99181i | −0.106146 | − | 0.465054i | ||||
\(167\) | 6.56402 | − | 8.23102i | 0.507939 | − | 0.636935i | −0.460061 | − | 0.887888i | \(-0.652172\pi\) |
0.967999 | + | 0.250952i | \(0.0807438\pi\) | |||||||
\(168\) | 2.78415 | − | 1.34077i | 0.214802 | − | 0.103443i | ||||
\(169\) | 11.6624 | + | 5.61631i | 0.897107 | + | 0.432024i | ||||
\(170\) | −6.50780 | − | 8.16052i | −0.499125 | − | 0.625883i | ||||
\(171\) | −7.92344 | + | 9.93567i | −0.605920 | + | 0.759800i | ||||
\(172\) | 10.5487 | + | 5.08000i | 0.804333 | + | 0.387346i | ||||
\(173\) | 4.09017 | 0.310970 | 0.155485 | − | 0.987838i | \(-0.450306\pi\) | ||||
0.155485 | + | 0.987838i | \(0.450306\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −22.0344 | −1.66565 | ||||||||
\(176\) | −2.30856 | − | 1.11174i | −0.174014 | − | 0.0838008i | ||||
\(177\) | 2.34677 | − | 2.94276i | 0.176394 | − | 0.221191i | ||||
\(178\) | 1.81425 | + | 2.27500i | 0.135984 | + | 0.170518i | ||||
\(179\) | 14.4155 | + | 6.94214i | 1.07747 | + | 0.518880i | 0.886506 | − | 0.462718i | \(-0.153126\pi\) |
0.190960 | + | 0.981598i | \(0.438840\pi\) | |||||||
\(180\) | −14.7094 | + | 7.08369i | −1.09638 | + | 0.527987i | ||||
\(181\) | 3.70619 | − | 4.64742i | 0.275479 | − | 0.345440i | −0.624775 | − | 0.780805i | \(-0.714809\pi\) |
0.900254 | + | 0.435365i | \(0.143381\pi\) | |||||||
\(182\) | 0.0725948 | + | 0.318058i | 0.00538108 | + | 0.0235761i | ||||
\(183\) | −0.0849954 | − | 0.372389i | −0.00628304 | − | 0.0275278i | ||||
\(184\) | −1.72328 | − | 2.16093i | −0.127042 | − | 0.159306i | ||||
\(185\) | 4.03784 | − | 17.6909i | 0.296868 | − | 1.30066i | ||||
\(186\) | −3.85410 | −0.282596 | ||||||||
\(187\) | −1.34753 | + | 5.90390i | −0.0985409 | + | 0.431736i | ||||
\(188\) | 10.2046 | − | 4.91427i | 0.744246 | − | 0.358410i | ||||
\(189\) | −6.99506 | + | 3.36864i | −0.508816 | + | 0.245033i | ||||
\(190\) | 2.57286 | − | 11.2724i | 0.186655 | − | 0.817787i | ||||
\(191\) | −17.0344 | −1.23257 | −0.616284 | − | 0.787524i | \(-0.711363\pi\) | ||||
−0.616284 | + | 0.787524i | \(0.711363\pi\) | |||||||
\(192\) | 0.0324654 | − | 0.142240i | 0.00234299 | − | 0.0102653i | ||||
\(193\) | −7.77625 | − | 9.75111i | −0.559747 | − | 0.701900i | 0.418764 | − | 0.908095i | \(-0.362463\pi\) |
−0.978511 | + | 0.206195i | \(0.933892\pi\) | |||||||
\(194\) | −0.489908 | − | 2.14643i | −0.0351733 | − | 0.154104i | ||||
\(195\) | 0.125125 | + | 0.548208i | 0.00896038 | + | 0.0392580i | ||||
\(196\) | 2.01766 | − | 2.53006i | 0.144118 | − | 0.180719i | ||||
\(197\) | 5.66871 | − | 2.72991i | 0.403879 | − | 0.194498i | −0.220905 | − | 0.975295i | \(-0.570901\pi\) |
0.624784 | + | 0.780797i | \(0.285187\pi\) | |||||||
\(198\) | −2.01463 | − | 0.970194i | −0.143173 | − | 0.0689487i | ||||
\(199\) | −3.64997 | − | 4.57692i | −0.258740 | − | 0.324449i | 0.635446 | − | 0.772145i | \(-0.280816\pi\) |
−0.894186 | + | 0.447696i | \(0.852245\pi\) | |||||||
\(200\) | 13.7382 | − | 17.2272i | 0.971441 | − | 1.21815i | ||||
\(201\) | 0.850760 | + | 0.409704i | 0.0600080 | + | 0.0288983i | ||||
\(202\) | −0.381966 | −0.0268750 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −4.38197 | −0.306799 | ||||||||
\(205\) | 13.3831 | + | 6.44495i | 0.934715 | + | 0.450135i | ||||
\(206\) | −3.53753 | + | 4.43593i | −0.246472 | + | 0.309066i | ||||
\(207\) | 2.01766 | + | 2.53006i | 0.140237 | + | 0.175851i | ||||
\(208\) | 0.394349 | + | 0.189908i | 0.0273432 | + | 0.0131678i | ||||
\(209\) | −6.04388 | + | 2.91058i | −0.418064 | + | 0.201329i | ||||
\(210\) | 2.05240 | − | 2.57363i | 0.141629 | − | 0.177597i | ||||
\(211\) | −2.59292 | − | 11.3603i | −0.178504 | − | 0.782077i | −0.982322 | − | 0.187201i | \(-0.940058\pi\) |
0.803818 | − | 0.594876i | \(-0.202799\pi\) | |||||||
\(212\) | −0.720093 | − | 3.15493i | −0.0494562 | − | 0.216682i | ||||
\(213\) | 4.03531 | + | 5.06012i | 0.276495 | + | 0.346714i | ||||
\(214\) | 0.930213 | − | 4.07553i | 0.0635881 | − | 0.278597i | ||||
\(215\) | 27.8885 | 1.90198 | ||||||||
\(216\) | 1.72764 | − | 7.56927i | 0.117551 | − | 0.515024i | ||||
\(217\) | 20.3279 | − | 9.78942i | 1.37995 | − | 0.664549i | ||||
\(218\) | −8.00830 | + | 3.85659i | −0.542391 | + | 0.261202i | ||||
\(219\) | −1.88523 | + | 8.25972i | −0.127392 | + | 0.558140i | ||||
\(220\) | −8.61803 | −0.581028 | ||||||||
\(221\) | 0.230185 | − | 1.00851i | 0.0154839 | − | 0.0678395i | ||||
\(222\) | 1.12127 | + | 1.40603i | 0.0752546 | + | 0.0943662i | ||||
\(223\) | −0.594968 | − | 2.60673i | −0.0398420 | − | 0.174559i | 0.951092 | − | 0.308907i | \(-0.0999632\pi\) |
−0.990934 | + | 0.134348i | \(0.957106\pi\) | |||||||
\(224\) | −2.79538 | − | 12.2473i | −0.186774 | − | 0.818310i | ||||
\(225\) | −16.0850 | + | 20.1700i | −1.07233 | + | 1.34467i | ||||
\(226\) | −4.42360 | + | 2.13030i | −0.294254 | + | 0.141705i | ||||
\(227\) | 18.8199 | + | 9.06320i | 1.24912 | + | 0.601546i | 0.937276 | − | 0.348587i | \(-0.113338\pi\) |
0.311846 | + | 0.950133i | \(0.399053\pi\) | |||||||
\(228\) | −3.02648 | − | 3.79509i | −0.200434 | − | 0.251336i | ||||
\(229\) | −1.42891 | + | 1.79180i | −0.0944251 | + | 0.118405i | −0.826799 | − | 0.562497i | \(-0.809841\pi\) |
0.732374 | + | 0.680902i | \(0.238412\pi\) | |||||||
\(230\) | −2.65270 | − | 1.27747i | −0.174914 | − | 0.0842340i | ||||
\(231\) | −1.90983 | −0.125658 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 15.2361 | 0.998148 | 0.499074 | − | 0.866559i | \(-0.333674\pi\) | ||||
0.499074 | + | 0.866559i | \(0.333674\pi\) | |||||||
\(234\) | 0.344139 | + | 0.165729i | 0.0224971 | + | 0.0108340i | ||||
\(235\) | 16.8210 | − | 21.0928i | 1.09728 | − | 1.37594i | ||||
\(236\) | −6.14393 | − | 7.70425i | −0.399936 | − | 0.501504i | ||||
\(237\) | −3.39119 | − | 1.63311i | −0.220281 | − | 0.106082i | ||||
\(238\) | −5.45602 | + | 2.62748i | −0.353661 | + | 0.170314i | ||||
\(239\) | −17.2973 | + | 21.6901i | −1.11887 | + | 1.40301i | −0.214255 | + | 0.976778i | \(0.568732\pi\) |
−0.904612 | + | 0.426236i | \(0.859839\pi\) | |||||||
\(240\) | −0.982743 | − | 4.30568i | −0.0634358 | − | 0.277930i | ||||
\(241\) | 1.03527 | + | 4.53583i | 0.0666878 | + | 0.292178i | 0.997264 | − | 0.0739193i | \(-0.0235507\pi\) |
−0.930576 | + | 0.366098i | \(0.880694\pi\) | |||||||
\(242\) | 3.50279 | + | 4.39236i | 0.225168 | + | 0.282351i | ||||
\(243\) | −3.10289 | + | 13.5947i | −0.199051 | + | 0.872098i | ||||
\(244\) | −1.00000 | −0.0640184 | ||||||||
\(245\) | 1.71524 | − | 7.51494i | 0.109582 | − | 0.480112i | ||||
\(246\) | −1.32635 | + | 0.638736i | −0.0845649 | + | 0.0407243i | ||||
\(247\) | 1.03242 | − | 0.497187i | 0.0656912 | − | 0.0316352i | ||||
\(248\) | −5.02059 | + | 21.9966i | −0.318807 | + | 1.39679i | ||||
\(249\) | −6.14590 | −0.389480 | ||||||||
\(250\) | 2.57286 | − | 11.2724i | 0.162722 | − | 0.712930i | ||||
\(251\) | 12.2531 | + | 15.3649i | 0.773410 | + | 0.969825i | 0.999991 | − | 0.00416682i | \(-0.00132634\pi\) |
−0.226581 | + | 0.973992i | \(0.572755\pi\) | |||||||
\(252\) | 2.10775 | + | 9.23465i | 0.132776 | + | 0.581728i | ||||
\(253\) | 0.380111 | + | 1.66538i | 0.0238974 | + | 0.104701i | ||||
\(254\) | 6.14393 | − | 7.70425i | 0.385505 | − | 0.483407i | ||||
\(255\) | −9.40404 | + | 4.52875i | −0.588904 | + | 0.283601i | ||||
\(256\) | 5.91243 | + | 2.84728i | 0.369527 | + | 0.177955i | ||||
\(257\) | −14.4527 | − | 18.1231i | −0.901535 | − | 1.13049i | −0.990915 | − | 0.134492i | \(-0.957060\pi\) |
0.0893797 | − | 0.995998i | \(-0.471512\pi\) | |||||||
\(258\) | −1.72328 | + | 2.16093i | −0.107287 | + | 0.134534i | ||||
\(259\) | −9.48528 | − | 4.56787i | −0.589386 | − | 0.283834i | ||||
\(260\) | 1.47214 | 0.0912980 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 8.85410 | 0.547008 | ||||||||
\(263\) | −15.0536 | − | 7.24942i | −0.928243 | − | 0.447018i | −0.0922361 | − | 0.995737i | \(-0.529401\pi\) |
−0.836007 | + | 0.548719i | \(0.815116\pi\) | |||||||
\(264\) | 1.19076 | − | 1.49317i | 0.0732862 | − | 0.0918980i | ||||
\(265\) | −4.80599 | − | 6.02652i | −0.295229 | − | 0.370206i | ||||
\(266\) | −6.04388 | − | 2.91058i | −0.370574 | − | 0.178459i | ||||
\(267\) | 2.62167 | − | 1.26253i | 0.160443 | − | 0.0772655i | ||||
\(268\) | 1.54135 | − | 1.93279i | 0.0941530 | − | 0.118064i | ||||
\(269\) | −1.33513 | − | 5.84957i | −0.0814040 | − | 0.356654i | 0.917778 | − | 0.397094i | \(-0.129981\pi\) |
−0.999182 | + | 0.0404396i | \(0.987124\pi\) | |||||||
\(270\) | −1.84036 | − | 8.06315i | −0.112001 | − | 0.490708i | ||||
\(271\) | −6.34734 | − | 7.95931i | −0.385573 | − | 0.483494i | 0.550731 | − | 0.834683i | \(-0.314349\pi\) |
−0.936305 | + | 0.351189i | \(0.885777\pi\) | |||||||
\(272\) | −1.80790 | + | 7.92091i | −0.109620 | + | 0.480276i | ||||
\(273\) | 0.326238 | 0.0197448 | ||||||||
\(274\) | −0.982743 | + | 4.30568i | −0.0593697 | + | 0.260116i | ||||
\(275\) | −12.2694 | + | 5.90864i | −0.739874 | + | 0.356305i | ||||
\(276\) | −1.11366 | + | 0.536310i | −0.0670344 | + | 0.0322821i | ||||
\(277\) | 4.75794 | − | 20.8459i | 0.285877 | − | 1.25251i | −0.604250 | − | 0.796795i | \(-0.706527\pi\) |
0.890127 | − | 0.455713i | \(-0.150616\pi\) | |||||||
\(278\) | −0.798374 | −0.0478833 | ||||||||
\(279\) | 5.87820 | − | 25.7541i | 0.351919 | − | 1.54186i | ||||
\(280\) | −12.0150 | − | 15.0663i | −0.718032 | − | 0.900383i | ||||
\(281\) | −5.14571 | − | 22.5448i | −0.306967 | − | 1.34491i | −0.859379 | − | 0.511340i | \(-0.829149\pi\) |
0.552411 | − | 0.833572i | \(-0.313708\pi\) | |||||||
\(282\) | 0.594968 | + | 2.60673i | 0.0354298 | + | 0.155228i | ||||
\(283\) | −3.26463 | + | 4.09372i | −0.194062 | + | 0.243347i | −0.869337 | − | 0.494220i | \(-0.835454\pi\) |
0.675274 | + | 0.737567i | \(0.264025\pi\) | |||||||
\(284\) | 15.2663 | − | 7.35184i | 0.905886 | − | 0.436252i | ||||
\(285\) | −10.4173 | − | 5.01670i | −0.617066 | − | 0.297163i | ||||
\(286\) | 0.125712 | + | 0.157638i | 0.00743350 | + | 0.00932131i | ||||
\(287\) | 5.37326 | − | 6.73785i | 0.317173 | − | 0.397723i | ||||
\(288\) | −13.2516 | − | 6.38165i | −0.780860 | − | 0.376042i | ||||
\(289\) | 2.20163 | 0.129507 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −2.20163 | −0.129062 | ||||||||
\(292\) | 19.9838 | + | 9.62369i | 1.16946 | + | 0.563184i | ||||
\(293\) | −5.31704 | + | 6.66735i | −0.310625 | + | 0.389511i | −0.912498 | − | 0.409080i | \(-0.865850\pi\) |
0.601874 | + | 0.798591i | \(0.294421\pi\) | |||||||
\(294\) | 0.476304 | + | 0.597266i | 0.0277786 | + | 0.0348333i | ||||
\(295\) | −21.1477 | − | 10.1842i | −1.23126 | − | 0.592946i | ||||
\(296\) | 9.48528 | − | 4.56787i | 0.551321 | − | 0.265502i | ||||
\(297\) | −2.99174 | + | 3.75152i | −0.173598 | + | 0.217685i | ||||
\(298\) | 1.32272 | + | 5.79524i | 0.0766234 | + | 0.335709i | ||||
\(299\) | −0.0649307 | − | 0.284480i | −0.00375504 | − | 0.0164519i | ||||
\(300\) | −6.14393 | − | 7.70425i | −0.354720 | − | 0.444805i | ||||
\(301\) | 3.60046 | − | 15.7747i | 0.207527 | − | 0.909237i | ||||
\(302\) | −1.65248 | −0.0950893 | ||||||||
\(303\) | −0.0849954 | + | 0.372389i | −0.00488286 | + | 0.0213932i | ||||
\(304\) | −8.10872 | + | 3.90495i | −0.465067 | + | 0.223964i | ||||
\(305\) | −2.14608 | + | 1.03350i | −0.122884 | + | 0.0591778i | ||||
\(306\) | −1.57771 | + | 6.91240i | −0.0901917 | + | 0.395156i | ||||
\(307\) | 19.1803 | 1.09468 | 0.547340 | − | 0.836910i | \(-0.315640\pi\) | ||||
0.547340 | + | 0.836910i | \(0.315640\pi\) | |||||||
\(308\) | −1.11260 | + | 4.87464i | −0.0633965 | + | 0.277758i | ||||
\(309\) | 3.53753 | + | 4.43593i | 0.201243 | + | 0.252351i | ||||
\(310\) | 5.34817 | + | 23.4318i | 0.303755 | + | 1.33084i | ||||
\(311\) | 0.465107 | + | 2.03777i | 0.0263738 | + | 0.115551i | 0.986401 | − | 0.164354i | \(-0.0525540\pi\) |
−0.960028 | + | 0.279905i | \(0.909697\pi\) | |||||||
\(312\) | −0.203406 | + | 0.255063i | −0.0115156 | + | 0.0144401i | ||||
\(313\) | 11.6314 | − | 5.60137i | 0.657443 | − | 0.316608i | −0.0752524 | − | 0.997165i | \(-0.523976\pi\) |
0.732695 | + | 0.680557i | \(0.238262\pi\) | |||||||
\(314\) | −8.10872 | − | 3.90495i | −0.457602 | − | 0.220369i | ||||
\(315\) | 14.0674 | + | 17.6399i | 0.792606 | + | 0.993897i | ||||
\(316\) | −6.14393 | + | 7.70425i | −0.345623 | + | 0.433398i | ||||
\(317\) | 24.9642 | + | 12.0221i | 1.40213 | + | 0.675231i | 0.973592 | − | 0.228293i | \(-0.0733144\pi\) |
0.428538 | + | 0.903524i | \(0.359029\pi\) | |||||||
\(318\) | 0.763932 | 0.0428392 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −0.909830 | −0.0508610 | ||||||||
\(321\) | −3.76636 | − | 1.81378i | −0.210217 | − | 0.101235i | ||||
\(322\) | −1.06505 | + | 1.33553i | −0.0593528 | + | 0.0744260i | ||||
\(323\) | 13.2619 | + | 16.6300i | 0.737914 | + | 0.925315i | ||||
\(324\) | 8.32141 | + | 4.00738i | 0.462301 | + | 0.222632i | ||||
\(325\) | 2.09587 | − | 1.00932i | 0.116258 | − | 0.0559868i | ||||
\(326\) | −2.32530 | + | 2.91583i | −0.128786 | + | 0.161493i | ||||
\(327\) | 1.97789 | + | 8.66569i | 0.109377 | + | 0.479214i | ||||
\(328\) | 1.91769 | + | 8.40196i | 0.105887 | + | 0.463921i | ||||
\(329\) | −9.75916 | − | 12.2376i | −0.538040 | − | 0.674681i | ||||
\(330\) | 0.452706 | − | 1.98343i | 0.0249206 | − | 0.109184i | ||||
\(331\) | −21.1803 | −1.16418 | −0.582088 | − | 0.813126i | \(-0.697764\pi\) | ||||
−0.582088 | + | 0.813126i | \(0.697764\pi\) | |||||||
\(332\) | −3.58040 | + | 15.6868i | −0.196500 | + | 0.860923i | ||||
\(333\) | −11.1056 | + | 5.34815i | −0.608581 | + | 0.293077i | ||||
\(334\) | 5.86222 | − | 2.82310i | 0.320767 | − | 0.154473i | ||||
\(335\) | 1.31032 | − | 5.74091i | 0.0715907 | − | 0.313659i | ||||
\(336\) | −2.56231 | −0.139785 | ||||||||
\(337\) | −7.58104 | + | 33.2147i | −0.412966 | + | 1.80932i | 0.156938 | + | 0.987609i | \(0.449838\pi\) |
−0.569903 | + | 0.821712i | \(0.693019\pi\) | |||||||
\(338\) | 4.98792 | + | 6.25465i | 0.271307 | + | 0.340208i | ||||
\(339\) | 1.09254 | + | 4.78673i | 0.0593386 | + | 0.259980i | ||||
\(340\) | 6.08066 | + | 26.6411i | 0.329770 | + | 1.44482i | ||||
\(341\) | 8.69411 | − | 10.9021i | 0.470813 | − | 0.590380i | ||||
\(342\) | −7.07630 | + | 3.40777i | −0.382643 | + | 0.184271i | ||||
\(343\) | −18.1316 | − | 8.73174i | −0.979017 | − | 0.471470i | ||||
\(344\) | 10.0883 | + | 12.6503i | 0.543923 | + | 0.682058i | ||||
\(345\) | −1.83572 | + | 2.30192i | −0.0988320 | + | 0.123931i | ||||
\(346\) | 2.27753 | + | 1.09680i | 0.122441 | + | 0.0589643i | ||||
\(347\) | −32.1246 | −1.72454 | −0.862270 | − | 0.506449i | \(-0.830958\pi\) | ||||
−0.862270 | + | 0.506449i | \(0.830958\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.52786 | 0.242371 | 0.121186 | − | 0.992630i | \(-0.461330\pi\) | ||||
0.121186 | + | 0.992630i | \(0.461330\pi\) | |||||||
\(350\) | −12.2694 | − | 5.90864i | −0.655828 | − | 0.315830i | ||||
\(351\) | 0.511050 | − | 0.640836i | 0.0272778 | − | 0.0342053i | ||||
\(352\) | −4.84073 | − | 6.07009i | −0.258012 | − | 0.323537i | ||||
\(353\) | 17.2307 | + | 8.29786i | 0.917097 | + | 0.441650i | 0.832034 | − | 0.554725i | \(-0.187177\pi\) |
0.0850629 | + | 0.996376i | \(0.472891\pi\) | |||||||
\(354\) | 2.09587 | − | 1.00932i | 0.111394 | − | 0.0536446i | ||||
\(355\) | 25.1645 | − | 31.5553i | 1.33559 | − | 1.67478i | ||||
\(356\) | −1.69517 | − | 7.42703i | −0.0898439 | − | 0.393632i | ||||
\(357\) | 1.34753 | + | 5.90390i | 0.0713187 | + | 0.312467i | ||||
\(358\) | 6.16541 | + | 7.73117i | 0.325852 | + | 0.408605i | ||||
\(359\) | −5.28797 | + | 23.1681i | −0.279089 | + | 1.22277i | 0.619860 | + | 0.784712i | \(0.287189\pi\) |
−0.898949 | + | 0.438054i | \(0.855668\pi\) | |||||||
\(360\) | −22.5623 | −1.18914 | ||||||||
\(361\) | −1.01521 | + | 4.44792i | −0.0534320 | + | 0.234101i | ||||
\(362\) | 3.30995 | − | 1.59399i | 0.173967 | − | 0.0837780i | ||||
\(363\) | 5.06167 | − | 2.43757i | 0.265669 | − | 0.127939i | ||||
\(364\) | 0.190056 | − | 0.832688i | 0.00996162 | − | 0.0436447i | ||||
\(365\) | 52.8328 | 2.76540 | ||||||||
\(366\) | 0.0525301 | − | 0.230149i | 0.00274579 | − | 0.0120301i | ||||
\(367\) | −17.0029 | − | 21.3209i | −0.887543 | − | 1.11294i | −0.992952 | − | 0.118515i | \(-0.962187\pi\) |
0.105409 | − | 0.994429i | \(-0.466385\pi\) | |||||||
\(368\) | 0.509973 | + | 2.23434i | 0.0265842 | + | 0.116473i | ||||
\(369\) | −2.24527 | − | 9.83719i | −0.116884 | − | 0.512104i | ||||
\(370\) | 6.99230 | − | 8.76807i | 0.363512 | − | 0.455830i | ||||
\(371\) | −4.02926 | + | 1.94039i | −0.209189 | + | 0.100740i | ||||
\(372\) | 9.09093 | + | 4.37796i | 0.471343 | + | 0.226987i | ||||
\(373\) | 12.8551 | + | 16.1198i | 0.665614 | + | 0.834653i | 0.993941 | − | 0.109911i | \(-0.0350565\pi\) |
−0.328328 | + | 0.944564i | \(0.606485\pi\) | |||||||
\(374\) | −2.33350 | + | 2.92612i | −0.120662 | + | 0.151306i | ||||
\(375\) | −10.4173 | − | 5.01670i | −0.537946 | − | 0.259061i | ||||
\(376\) | 15.6525 | 0.807215 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −4.79837 | −0.246802 | ||||||||
\(379\) | −21.8862 | − | 10.5398i | −1.12422 | − | 0.541394i | −0.223024 | − | 0.974813i | \(-0.571593\pi\) |
−0.901192 | + | 0.433419i | \(0.857307\pi\) | |||||||
\(380\) | −18.8734 | + | 23.6664i | −0.968183 | + | 1.21406i | ||||
\(381\) | −6.14393 | − | 7.70425i | −0.314763 | − | 0.394701i | ||||
\(382\) | −9.48528 | − | 4.56787i | −0.485309 | − | 0.233713i | ||||
\(383\) | 25.9966 | − | 12.5193i | 1.32837 | − | 0.639708i | 0.371013 | − | 0.928628i | \(-0.379010\pi\) |
0.957353 | + | 0.288920i | \(0.0932961\pi\) | |||||||
\(384\) | 4.38590 | − | 5.49975i | 0.223817 | − | 0.280658i | ||||
\(385\) | 2.65019 | + | 11.6112i | 0.135066 | + | 0.591763i | ||||
\(386\) | −1.71524 | − | 7.51494i | −0.0873033 | − | 0.382501i | ||||
\(387\) | −11.8116 | − | 14.8112i | −0.600415 | − | 0.752897i | ||||
\(388\) | −1.28260 | + | 5.61942i | −0.0651139 | + | 0.285283i | ||||
\(389\) | 19.1246 | 0.969656 | 0.484828 | − | 0.874609i | \(-0.338882\pi\) | ||||
0.484828 | + | 0.874609i | \(0.338882\pi\) | |||||||
\(390\) | −0.0773314 | + | 0.338811i | −0.00391583 | + | 0.0171564i | ||||
\(391\) | 4.88001 | − | 2.35009i | 0.246793 | − | 0.118849i | ||||
\(392\) | 4.02926 | − | 1.94039i | 0.203508 | − | 0.0980043i | ||||
\(393\) | 1.97022 | − | 8.63211i | 0.0993846 | − | 0.435432i | ||||
\(394\) | 3.88854 | 0.195902 | ||||||||
\(395\) | −5.22304 | + | 22.8836i | −0.262800 | + | 1.15140i | ||||
\(396\) | 3.64997 | + | 4.57692i | 0.183418 | + | 0.229999i | ||||
\(397\) | 3.12769 | + | 13.7033i | 0.156974 | + | 0.687750i | 0.990756 | + | 0.135656i | \(0.0433141\pi\) |
−0.833782 | + | 0.552094i | \(0.813829\pi\) | |||||||
\(398\) | −0.805088 | − | 3.52732i | −0.0403554 | − | 0.176809i | ||||
\(399\) | −4.18250 | + | 5.24469i | −0.209387 | + | 0.262563i | ||||
\(400\) | −16.4612 | + | 7.92728i | −0.823058 | + | 0.396364i | ||||
\(401\) | −22.5863 | − | 10.8770i | −1.12791 | − | 0.543171i | −0.225579 | − | 0.974225i | \(-0.572427\pi\) |
−0.902326 | + | 0.431054i | \(0.858142\pi\) | |||||||
\(402\) | 0.363864 | + | 0.456271i | 0.0181479 | + | 0.0227567i | ||||
\(403\) | −1.48513 | + | 1.86230i | −0.0739797 | + | 0.0927676i | ||||
\(404\) | 0.900969 | + | 0.433884i | 0.0448249 | + | 0.0215865i | ||||
\(405\) | 22.0000 | 1.09319 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −6.50658 | −0.322519 | ||||||||
\(408\) | −5.45602 | − | 2.62748i | −0.270113 | − | 0.130080i | ||||
\(409\) | −17.0939 | + | 21.4350i | −0.845237 | + | 1.05989i | 0.152201 | + | 0.988350i | \(0.451364\pi\) |
−0.997437 | + | 0.0715435i | \(0.977208\pi\) | |||||||
\(410\) | 5.72385 | + | 7.17748i | 0.282681 | + | 0.354470i | ||||
\(411\) | 3.97905 | + | 1.91621i | 0.196272 | + | 0.0945195i | ||||
\(412\) | 13.3831 | − | 6.44495i | 0.659337 | − | 0.317520i | ||||
\(413\) | −8.49071 | + | 10.6470i | −0.417800 | + | 0.523905i | ||||
\(414\) | 0.445042 | + | 1.94986i | 0.0218726 | + | 0.0958302i | ||||
\(415\) | 8.52839 | + | 37.3653i | 0.418642 | + | 1.83419i | ||||
\(416\) | 0.826896 | + | 1.03689i | 0.0405419 | + | 0.0508379i | ||||
\(417\) | −0.177655 | + | 0.778357i | −0.00869980 | + | 0.0381163i | ||||
\(418\) | −4.14590 | −0.202783 | ||||||||
\(419\) | 3.90798 | − | 17.1220i | 0.190917 | − | 0.836464i | −0.785204 | − | 0.619237i | \(-0.787442\pi\) |
0.976121 | − | 0.217226i | \(-0.0697010\pi\) | |||||||
\(420\) | −7.76458 | + | 3.73922i | −0.378873 | + | 0.182455i | ||||
\(421\) | −27.9611 | + | 13.4653i | −1.36274 | + | 0.656261i | −0.965246 | − | 0.261345i | \(-0.915834\pi\) |
−0.397493 | + | 0.917605i | \(0.630120\pi\) | |||||||
\(422\) | 1.60251 | − | 7.02107i | 0.0780091 | − | 0.341780i | ||||
\(423\) | −18.3262 | −0.891052 | ||||||||
\(424\) | 0.995144 | − | 4.36001i | 0.0483285 | − | 0.211741i | ||||
\(425\) | 26.9225 | + | 33.7597i | 1.30593 | + | 1.63759i | ||||
\(426\) | 0.890084 | + | 3.89971i | 0.0431247 | + | 0.188942i | ||||
\(427\) | 0.307516 | + | 1.34732i | 0.0148818 | + | 0.0652013i | ||||
\(428\) | −6.82364 | + | 8.55658i | −0.329833 | + | 0.413598i | ||||
\(429\) | 0.181659 | − | 0.0874823i | 0.00877057 | − | 0.00422369i | ||||
\(430\) | 15.5292 | + | 7.47845i | 0.748883 | + | 0.360643i | ||||
\(431\) | 9.10092 | + | 11.4122i | 0.438376 | + | 0.549706i | 0.951114 | − | 0.308839i | \(-0.0999403\pi\) |
−0.512738 | + | 0.858545i | \(0.671369\pi\) | |||||||
\(432\) | −4.01384 | + | 5.03319i | −0.193116 | + | 0.242160i | ||||
\(433\) | 9.35383 | + | 4.50457i | 0.449516 | + | 0.216476i | 0.644924 | − | 0.764246i | \(-0.276889\pi\) |
−0.195408 | + | 0.980722i | \(0.562603\pi\) | |||||||
\(434\) | 13.9443 | 0.669346 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 23.2705 | 1.11446 | ||||||||
\(437\) | 5.40581 | + | 2.60330i | 0.258595 | + | 0.124533i | ||||
\(438\) | −3.26463 | + | 4.09372i | −0.155990 | + | 0.195606i | ||||
\(439\) | −13.0585 | − | 16.3749i | −0.623250 | − | 0.781531i | 0.365548 | − | 0.930793i | \(-0.380882\pi\) |
−0.988798 | + | 0.149262i | \(0.952310\pi\) | |||||||
\(440\) | −10.7304 | − | 5.16748i | −0.511551 | − | 0.246350i | ||||
\(441\) | −4.71753 | + | 2.27184i | −0.224644 | + | 0.108183i | ||||
\(442\) | 0.398610 | − | 0.499841i | 0.0189599 | − | 0.0237750i | ||||
\(443\) | −0.424977 | − | 1.86195i | −0.0201913 | − | 0.0884638i | 0.963828 | − | 0.266524i | \(-0.0858751\pi\) |
−0.984020 | + | 0.178060i | \(0.943018\pi\) | |||||||
\(444\) | −1.04767 | − | 4.59016i | −0.0497204 | − | 0.217839i | ||||
\(445\) | −11.3138 | − | 14.1870i | −0.536325 | − | 0.672530i | ||||
\(446\) | 0.367710 | − | 1.61104i | 0.0174116 | − | 0.0762852i | ||||
\(447\) | 5.94427 | 0.281154 | ||||||||
\(448\) | −0.117461 | + | 0.514629i | −0.00554950 | + | 0.0243140i | ||||
\(449\) | −23.5375 | + | 11.3350i | −1.11080 | + | 0.534934i | −0.897039 | − | 0.441952i | \(-0.854286\pi\) |
−0.213763 | + | 0.976886i | \(0.568572\pi\) | |||||||
\(450\) | −14.3653 | + | 6.91796i | −0.677186 | + | 0.326116i | ||||
\(451\) | 1.18520 | − | 5.19270i | 0.0558089 | − | 0.244515i | ||||
\(452\) | 12.8541 | 0.604606 | ||||||||
\(453\) | −0.367710 | + | 1.61104i | −0.0172765 | + | 0.0756935i | ||||
\(454\) | 8.04915 | + | 10.0933i | 0.377765 | + | 0.473703i | ||||
\(455\) | −0.452706 | − | 1.98343i | −0.0212232 | − | 0.0929848i | ||||
\(456\) | −1.49272 | − | 6.54002i | −0.0699028 | − | 0.306264i | ||||
\(457\) | 11.6644 | − | 14.6267i | 0.545636 | − | 0.684206i | −0.430194 | − | 0.902737i | \(-0.641555\pi\) |
0.975830 | + | 0.218530i | \(0.0701262\pi\) | |||||||
\(458\) | −1.27614 | + | 0.614556i | −0.0596301 | + | 0.0287163i | ||||
\(459\) | 13.7080 | + | 6.60145i | 0.639837 | + | 0.308129i | ||||
\(460\) | 4.80599 | + | 6.02652i | 0.224080 | + | 0.280988i | ||||
\(461\) | 24.3028 | − | 30.4748i | 1.13190 | − | 1.41935i | 0.237893 | − | 0.971291i | \(-0.423543\pi\) |
0.894003 | − | 0.448061i | \(-0.147885\pi\) | |||||||
\(462\) | −1.06345 | − | 0.512130i | −0.0494761 | − | 0.0238265i | ||||
\(463\) | 10.7082 | 0.497652 | 0.248826 | − | 0.968548i | \(-0.419955\pi\) | ||||
0.248826 | + | 0.968548i | \(0.419955\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 24.0344 | 1.11457 | ||||||||
\(466\) | 8.48389 | + | 4.08563i | 0.393009 | + | 0.189263i | ||||
\(467\) | 11.1881 | − | 14.0294i | 0.517722 | − | 0.649203i | −0.452401 | − | 0.891814i | \(-0.649433\pi\) |
0.970124 | + | 0.242611i | \(0.0780040\pi\) | |||||||
\(468\) | −0.623490 | − | 0.781831i | −0.0288208 | − | 0.0361402i | ||||
\(469\) | −3.07808 | − | 1.48232i | −0.142132 | − | 0.0684474i | ||||
\(470\) | 15.0225 | − | 7.23447i | 0.692938 | − | 0.333701i | ||||
\(471\) | −5.61141 | + | 7.03648i | −0.258560 | + | 0.324224i | ||||
\(472\) | −3.03030 | − | 13.2766i | −0.139481 | − | 0.611105i | ||||
\(473\) | −2.22521 | − | 9.74928i | −0.102315 | − | 0.448272i | ||||
\(474\) | −1.45039 | − | 1.81873i | −0.0666184 | − | 0.0835369i | ||||
\(475\) | −10.6438 | + | 46.6335i | −0.488371 | + | 2.13969i | ||||
\(476\) | 15.8541 | 0.726672 | ||||||||
\(477\) | −1.16513 | + | 5.10479i | −0.0533479 | + | 0.233732i | ||||
\(478\) | −15.4479 | + | 7.43933i | −0.706571 | + | 0.340267i | ||||
\(479\) | −10.0731 | + | 4.85097i | −0.460253 | + | 0.221646i | −0.649618 | − | 0.760260i | \(-0.725071\pi\) |
0.189365 | + | 0.981907i | \(0.439357\pi\) | |||||||
\(480\) | 2.97777 | − | 13.0465i | 0.135916 | − | 0.595486i | ||||
\(481\) | 1.11146 | 0.0506780 | ||||||||
\(482\) | −0.639834 | + | 2.80330i | −0.0291436 | + | 0.127687i | ||||
\(483\) | 1.06505 | + | 1.33553i | 0.0484613 | + | 0.0607686i | ||||
\(484\) | −3.27288 | − | 14.3394i | −0.148767 | − | 0.651793i | ||||
\(485\) | 3.05510 | + | 13.3853i | 0.138725 | + | 0.607793i | ||||
\(486\) | −5.37326 | + | 6.73785i | −0.243736 | + | 0.305635i | ||||
\(487\) | −38.3473 | + | 18.4671i | −1.73768 | + | 0.836824i | −0.754009 | + | 0.656865i | \(0.771882\pi\) |
−0.983674 | + | 0.179959i | \(0.942403\pi\) | |||||||
\(488\) | −1.24511 | − | 0.599613i | −0.0563634 | − | 0.0271432i | ||||
\(489\) | 2.32530 | + | 2.91583i | 0.105154 | + | 0.131859i | ||||
\(490\) | 2.97026 | − | 3.72459i | 0.134183 | − | 0.168260i | ||||
\(491\) | −13.6268 | − | 6.56232i | −0.614969 | − | 0.296153i | 0.100349 | − | 0.994952i | \(-0.468004\pi\) |
−0.715318 | + | 0.698799i | \(0.753718\pi\) | |||||||
\(492\) | 3.85410 | 0.173756 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 0.708204 | 0.0318636 | ||||||||
\(495\) | 12.5634 | + | 6.05019i | 0.564681 | + | 0.271936i | ||||
\(496\) | 11.6644 | − | 14.6267i | 0.523746 | − | 0.656757i | ||||
\(497\) | −14.5999 | − | 18.3077i | −0.654895 | − | 0.821212i | ||||
\(498\) | −3.42222 | − | 1.64805i | −0.153353 | − | 0.0738510i | ||||
\(499\) | −22.2421 | + | 10.7113i | −0.995695 | + | 0.479502i | −0.859475 | − | 0.511177i | \(-0.829210\pi\) |
−0.136220 | + | 0.990679i | \(0.543495\pi\) | |||||||
\(500\) | −18.8734 | + | 23.6664i | −0.844042 | + | 1.05840i | ||||
\(501\) | −1.44785 | − | 6.34344i | −0.0646852 | − | 0.283404i | ||||
\(502\) | 2.70272 | + | 11.8414i | 0.120628 | + | 0.528506i | ||||
\(503\) | −8.89752 | − | 11.1571i | −0.396721 | − | 0.497472i | 0.542849 | − | 0.839831i | \(-0.317346\pi\) |
−0.939569 | + | 0.342358i | \(0.888774\pi\) | |||||||
\(504\) | −2.91284 | + | 12.7620i | −0.129748 | + | 0.568463i | ||||
\(505\) | 2.38197 | 0.105996 | ||||||||
\(506\) | −0.234922 | + | 1.02926i | −0.0104435 | + | 0.0457561i | ||||
\(507\) | 7.20775 | − | 3.47107i | 0.320107 | − | 0.154156i | ||||
\(508\) | −23.2435 | + | 11.1935i | −1.03126 | + | 0.496631i | ||||
\(509\) | −7.02327 | + | 30.7710i | −0.311301 | + | 1.36390i | 0.541077 | + | 0.840973i | \(0.318017\pi\) |
−0.852378 | + | 0.522926i | \(0.824840\pi\) | |||||||
\(510\) | −6.45085 | −0.285648 | ||||||||
\(511\) | 6.82082 | − | 29.8840i | 0.301735 | − | 1.32199i | ||||
\(512\) | −11.6644 | − | 14.6267i | −0.515497 | − | 0.646413i | ||||
\(513\) | 3.75039 | + | 16.4315i | 0.165584 | + | 0.725470i | ||||
\(514\) | −3.18789 | − | 13.9670i | −0.140612 | − | 0.616060i | ||||
\(515\) | 22.0603 | − | 27.6627i | 0.972093 | − | 1.21897i | ||||
\(516\) | 6.51947 | − | 3.13961i | 0.287004 | − | 0.138214i | ||||
\(517\) | −8.71576 | − | 4.19729i | −0.383319 | − | 0.184597i | ||||
\(518\) | −4.05678 | − | 5.08705i | −0.178245 | − | 0.223512i | ||||
\(519\) | 1.57610 | − | 1.97636i | 0.0691830 | − | 0.0867527i | ||||
\(520\) | 1.83297 | + | 0.882711i | 0.0803810 | + | 0.0387094i | ||||
\(521\) | 4.09017 | 0.179194 | 0.0895968 | − | 0.995978i | \(-0.471442\pi\) | ||||
0.0895968 | + | 0.995978i | \(0.471442\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −20.3820 | −0.891241 | −0.445621 | − | 0.895222i | \(-0.647017\pi\) | ||||
−0.445621 | + | 0.895222i | \(0.647017\pi\) | |||||||
\(524\) | −20.8848 | − | 10.0576i | −0.912355 | − | 0.439367i | ||||
\(525\) | −8.49071 | + | 10.6470i | −0.370565 | + | 0.464674i | ||||
\(526\) | −6.43830 | − | 8.07338i | −0.280723 | − | 0.352016i | ||||
\(527\) | −39.8361 | − | 19.1841i | −1.73529 | − | 0.835671i | ||||
\(528\) | −1.42677 | + | 0.687095i | −0.0620921 | + | 0.0299020i | ||||
\(529\) | −13.3877 | + | 16.7876i | −0.582072 | + | 0.729895i | ||||
\(530\) | −1.06007 | − | 4.64449i | −0.0460467 | − | 0.201744i | ||||
\(531\) | 3.54793 | + | 15.5445i | 0.153967 | + | 0.674575i | ||||
\(532\) | 10.9499 | + | 13.7308i | 0.474739 | + | 0.595304i | ||||
\(533\) | −0.202456 | + | 0.887019i | −0.00876935 | + | 0.0384210i | ||||
\(534\) | 1.79837 | 0.0778232 | ||||||||
\(535\) | −5.80087 | + | 25.4153i | −0.250794 | + | 1.09880i | ||||
\(536\) | 3.07808 | − | 1.48232i | 0.132953 | − | 0.0640266i | ||||
\(537\) | 8.90927 | − | 4.29048i | 0.384463 | − | 0.185148i | ||||
\(538\) | 0.825153 | − | 3.61523i | 0.0355749 | − | 0.155864i | ||||
\(539\) | −2.76393 | −0.119051 | ||||||||
\(540\) | −4.81813 | + | 21.1096i | −0.207339 | + | 0.908413i | ||||
\(541\) | 9.10092 | + | 11.4122i | 0.391279 | + | 0.490649i | 0.937985 | − | 0.346676i | \(-0.112690\pi\) |
−0.546706 | + | 0.837325i | \(0.684118\pi\) | |||||||
\(542\) | −1.40006 | − | 6.13405i | −0.0601376 | − | 0.263480i | ||||
\(543\) | −0.817489 | − | 3.58165i | −0.0350818 | − | 0.153703i | ||||
\(544\) | −15.3491 | + | 19.2472i | −0.658087 | + | 0.825215i | ||||
\(545\) | 49.9403 | − | 24.0500i | 2.13921 | − | 1.03019i | ||||
\(546\) | 0.181659 | + | 0.0874823i | 0.00777428 | + | 0.00374390i | ||||
\(547\) | 4.60258 | + | 5.77145i | 0.196792 | + | 0.246770i | 0.870430 | − | 0.492292i | \(-0.163841\pi\) |
−0.673638 | + | 0.739061i | \(0.735269\pi\) | |||||||
\(548\) | 7.20898 | − | 9.03977i | 0.307952 | − | 0.386160i | ||||
\(549\) | 1.45780 | + | 0.702039i | 0.0622173 | + | 0.0299623i | ||||
\(550\) | −8.41641 | −0.358877 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −1.70820 | −0.0727060 | ||||||||
\(553\) | 12.2694 | + | 5.90864i | 0.521749 | + | 0.251261i | ||||
\(554\) | 8.23928 | − | 10.3317i | 0.350054 | − | 0.438953i | ||||
\(555\) | −6.99230 | − | 8.76807i | −0.296807 | − | 0.372184i | ||||
\(556\) | 1.88318 | + | 0.906891i | 0.0798645 | + | 0.0384607i | ||||
\(557\) | 4.96126 | − | 2.38921i | 0.210215 | − | 0.101234i | −0.325814 | − | 0.945434i | \(-0.605638\pi\) |
0.536029 | + | 0.844200i | \(0.319924\pi\) | |||||||
\(558\) | 10.1792 | − | 12.7644i | 0.430922 | − | 0.540359i | ||||
\(559\) | 0.380111 | + | 1.66538i | 0.0160770 | + | 0.0704379i | ||||
\(560\) | 3.55560 | + | 15.5781i | 0.150251 | + | 0.658295i | ||||
\(561\) | 2.33350 | + | 2.92612i | 0.0985205 | + | 0.123541i | ||||
\(562\) | 3.18022 | − | 13.9335i | 0.134150 | − | 0.587748i | ||||
\(563\) | −28.3951 | −1.19671 | −0.598356 | − | 0.801230i | \(-0.704179\pi\) | ||||
−0.598356 | + | 0.801230i | \(0.704179\pi\) | |||||||
\(564\) | 1.55765 | − | 6.82450i | 0.0655888 | − | 0.287363i | ||||
\(565\) | 27.5859 | − | 13.2847i | 1.16055 | − | 0.558890i | ||||
\(566\) | −2.91560 | + | 1.40408i | −0.122552 | + | 0.0590178i | ||||
\(567\) | 2.84024 | − | 12.4439i | 0.119279 | − | 0.522595i | ||||
\(568\) | 23.4164 | 0.982531 | ||||||||
\(569\) | −0.432641 | + | 1.89552i | −0.0181373 | + | 0.0794645i | −0.983187 | − | 0.182604i | \(-0.941547\pi\) |
0.965049 | + | 0.262068i | \(0.0844046\pi\) | |||||||
\(570\) | −4.45539 | − | 5.58689i | −0.186616 | − | 0.234009i | ||||
\(571\) | 7.67844 | + | 33.6414i | 0.321333 | + | 1.40785i | 0.835184 | + | 0.549971i | \(0.185361\pi\) |
−0.513851 | + | 0.857879i | \(0.671782\pi\) | |||||||
\(572\) | −0.117461 | − | 0.514629i | −0.00491128 | − | 0.0215177i | ||||
\(573\) | −6.56402 | + | 8.23102i | −0.274216 | + | 0.343856i | ||||
\(574\) | 4.79877 | − | 2.31097i | 0.200297 | − | 0.0964579i | ||||
\(575\) | 10.9741 | + | 5.28485i | 0.457652 | + | 0.220394i | ||||
\(576\) | 0.385338 | + | 0.483198i | 0.0160557 | + | 0.0201333i | ||||
\(577\) | 1.72328 | − | 2.16093i | 0.0717412 | − | 0.0899607i | −0.744666 | − | 0.667437i | \(-0.767391\pi\) |
0.816407 | + | 0.577477i | \(0.195963\pi\) | |||||||
\(578\) | 1.22593 | + | 0.590377i | 0.0509920 | + | 0.0245564i | ||||
\(579\) | −7.70820 | −0.320342 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 22.2361 | 0.922508 | ||||||||
\(582\) | −1.22593 | − | 0.590377i | −0.0508164 | − | 0.0244719i | ||||
\(583\) | −1.72328 | + | 2.16093i | −0.0713711 | + | 0.0894965i | ||||
\(584\) | 19.1115 | + | 23.9651i | 0.790840 | + | 0.991682i | ||||
\(585\) | −2.14608 | − | 1.03350i | −0.0887294 | − | 0.0427298i | ||||
\(586\) | −4.74857 | + | 2.28679i | −0.196161 | + | 0.0944664i | ||||
\(587\) | 29.0659 | − | 36.4474i | 1.19968 | − | 1.50435i | 0.386542 | − | 0.922272i | \(-0.373669\pi\) |
0.813135 | − | 0.582075i | \(-0.197759\pi\) | |||||||
\(588\) | −0.445042 | − | 1.94986i | −0.0183532 | − | 0.0804107i | ||||
\(589\) | −10.8988 | − | 47.7507i | −0.449077 | − | 1.96753i | ||||
\(590\) | −9.04470 | − | 11.3417i | −0.372365 | − | 0.466930i | ||||
\(591\) | 0.865282 | − | 3.79105i | 0.0355930 | − | 0.155943i | ||||
\(592\) | −8.72949 | −0.358780 | ||||||||
\(593\) | 3.21269 | − | 14.0757i | 0.131929 | − | 0.578020i | −0.865141 | − | 0.501529i | \(-0.832771\pi\) |
0.997070 | − | 0.0764913i | \(-0.0243717\pi\) | |||||||
\(594\) | −2.67188 | + | 1.28671i | −0.109628 | + | 0.0527942i | ||||
\(595\) | 34.0241 | − | 16.3852i | 1.39485 | − | 0.671726i | ||||
\(596\) | 3.46294 | − | 15.1721i | 0.141848 | − | 0.621475i | ||||
\(597\) | −3.61803 | −0.148076 | ||||||||
\(598\) | 0.0401294 | − | 0.175818i | 0.00164101 | − | 0.00718975i | ||||
\(599\) | −8.14832 | − | 10.2177i | −0.332931 | − | 0.417482i | 0.586985 | − | 0.809598i | \(-0.300315\pi\) |
−0.919916 | + | 0.392115i | \(0.871743\pi\) | |||||||
\(600\) | −3.03030 | − | 13.2766i | −0.123711 | − | 0.542015i | ||||
\(601\) | 6.48850 | + | 28.4280i | 0.264671 | + | 1.15960i | 0.916119 | + | 0.400907i | \(0.131305\pi\) |
−0.651447 | + | 0.758694i | \(0.725838\pi\) | |||||||
\(602\) | 6.23490 | − | 7.81831i | 0.254115 | − | 0.318651i | ||||
\(603\) | −3.60388 | + | 1.73553i | −0.146761 | + | 0.0706764i | ||||
\(604\) | 3.89781 | + | 1.87708i | 0.158599 | + | 0.0763775i | ||||
\(605\) | −21.8436 | − | 27.3910i | −0.888069 | − | 1.11360i | ||||
\(606\) | −0.147186 | + | 0.184565i | −0.00597902 | + | 0.00749746i | ||||
\(607\) | 9.89148 | + | 4.76349i | 0.401483 | + | 0.193344i | 0.623718 | − | 0.781649i | \(-0.285621\pi\) |
−0.222236 | + | 0.974993i | \(0.571335\pi\) | |||||||
\(608\) | −27.2705 | −1.10597 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −1.47214 | −0.0596050 | ||||||||
\(611\) | 1.48883 | + | 0.716982i | 0.0602316 | + | 0.0290060i | ||||
\(612\) | 11.5734 | − | 14.5126i | 0.467827 | − | 0.586637i | ||||
\(613\) | 17.1715 | + | 21.5324i | 0.693552 | + | 0.869687i | 0.996523 | − | 0.0833128i | \(-0.0265501\pi\) |
−0.302971 | + | 0.953000i | \(0.597979\pi\) | |||||||
\(614\) | 10.6802 | + | 5.14330i | 0.431017 | + | 0.207567i | ||||
\(615\) | 8.27120 | − | 3.98320i | 0.333527 | − | 0.160618i | ||||
\(616\) | −4.30821 | + | 5.40232i | −0.173583 | + | 0.217666i | ||||
\(617\) | −3.15542 | − | 13.8248i | −0.127033 | − | 0.556566i | −0.997884 | − | 0.0650196i | \(-0.979289\pi\) |
0.870851 | − | 0.491546i | \(-0.163568\pi\) | |||||||
\(618\) | 0.780287 | + | 3.41866i | 0.0313877 | + | 0.137519i | ||||
\(619\) | −4.39917 | − | 5.51639i | −0.176818 | − | 0.221722i | 0.685523 | − | 0.728051i | \(-0.259574\pi\) |
−0.862341 | + | 0.506329i | \(0.831002\pi\) | |||||||
\(620\) | 14.0017 | − | 61.3454i | 0.562321 | − | 2.46369i | ||||
\(621\) | 4.29180 | 0.172224 | ||||||||
\(622\) | −0.287452 | + | 1.25941i | −0.0115258 | + | 0.0504977i | ||||
\(623\) | −9.48528 | + | 4.56787i | −0.380020 | + | 0.183008i | ||||
\(624\) | 0.243721 | − | 0.117370i | 0.00975665 | − | 0.00469855i | ||||
\(625\) | −5.08078 | + | 22.2603i | −0.203231 | + | 0.890414i | ||||
\(626\) | 7.97871 | 0.318894 | ||||||||
\(627\) | −0.922549 | + | 4.04195i | −0.0368431 | + | 0.161420i | ||||
\(628\) | 14.6909 | + | 18.4218i | 0.586229 | + | 0.735108i | ||||
\(629\) | 4.59087 | + | 20.1139i | 0.183050 | + | 0.801995i | ||||
\(630\) | 3.10289 | + | 13.5947i | 0.123622 | + | 0.541624i | ||||
\(631\) | −17.5916 | + | 22.0592i | −0.700312 | + | 0.878163i | −0.997047 | − | 0.0767968i | \(-0.975531\pi\) |
0.296735 | + | 0.954960i | \(0.404102\pi\) | |||||||
\(632\) | −12.2694 | + | 5.90864i | −0.488052 | + | 0.235033i | ||||
\(633\) | −6.48844 | − | 3.12467i | −0.257892 | − | 0.124194i | ||||
\(634\) | 10.6770 | + | 13.3886i | 0.424039 | + | 0.531728i | ||||
\(635\) | −38.3140 | + | 48.0442i | −1.52044 | + | 1.90658i | ||||
\(636\) | −1.80194 | − | 0.867767i | −0.0714515 | − | 0.0344092i | ||||
\(637\) | 0.472136 | 0.0187067 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −27.4164 | −1.08458 | ||||||||
\(640\) | −39.5230 | − | 19.0333i | −1.56229 | − | 0.752357i | ||||
\(641\) | −6.89313 | + | 8.64372i | −0.272262 | + | 0.341406i | −0.899100 | − | 0.437744i | \(-0.855778\pi\) |
0.626837 | + | 0.779150i | \(0.284349\pi\) | |||||||
\(642\) | −1.61084 | − | 2.01993i | −0.0635749 | − | 0.0797204i | ||||
\(643\) | 33.7110 | + | 16.2344i | 1.32943 | + | 0.640221i | 0.957606 | − | 0.288081i | \(-0.0930173\pi\) |
0.371827 | + | 0.928302i | \(0.378732\pi\) | |||||||
\(644\) | 4.02926 | − | 1.94039i | 0.158775 | − | 0.0764620i | ||||
\(645\) | 10.7465 | − | 13.4757i | 0.423144 | − | 0.530605i | ||||
\(646\) | 2.92524 | + | 12.8163i | 0.115092 | + | 0.504251i | ||||
\(647\) | 6.79309 | + | 29.7625i | 0.267064 | + | 1.17008i | 0.913411 | + | 0.407039i | \(0.133439\pi\) |
−0.646347 | + | 0.763044i | \(0.723704\pi\) | |||||||
\(648\) | 7.95818 | + | 9.97924i | 0.312627 | + | 0.392022i | ||||
\(649\) | −1.87283 | + | 8.20539i | −0.0735149 | + | 0.322090i | ||||
\(650\) | 1.43769 | 0.0563910 | ||||||||
\(651\) | 3.10289 | − | 13.5947i | 0.121612 | − | 0.532817i | ||||
\(652\) | 8.79700 | − | 4.23641i | 0.344517 | − | 0.165911i | ||||
\(653\) | 43.2584 | − | 20.8321i | 1.69283 | − | 0.815224i | 0.697729 | − | 0.716362i | \(-0.254194\pi\) |
0.995101 | − | 0.0988626i | \(-0.0315204\pi\) | |||||||
\(654\) | −1.22240 | + | 5.35569i | −0.0477997 | + | 0.209424i | ||||
\(655\) | −55.2148 | −2.15742 | ||||||||
\(656\) | 1.59011 | − | 6.96674i | 0.0620834 | − | 0.272005i | ||||
\(657\) | −22.3761 | − | 28.0588i | −0.872976 | − | 1.09468i | ||||
\(658\) | −2.15261 | − | 9.43122i | −0.0839177 | − | 0.367667i | ||||
\(659\) | −1.57005 | − | 6.87883i | −0.0611604 | − | 0.267961i | 0.935098 | − | 0.354390i | \(-0.115312\pi\) |
−0.996258 | + | 0.0864291i | \(0.972454\pi\) | |||||||
\(660\) | −3.32086 | + | 4.16422i | −0.129264 | + | 0.162092i | ||||
\(661\) | 33.7420 | − | 16.2493i | 1.31241 | − | 0.632025i | 0.358900 | − | 0.933376i | \(-0.383152\pi\) |
0.953513 | + | 0.301351i | \(0.0974375\pi\) | |||||||
\(662\) | −11.7938 | − | 5.67961i | −0.458380 | − | 0.220744i | ||||
\(663\) | −0.398610 | − | 0.499841i | −0.0154807 | − | 0.0194122i | ||||
\(664\) | −13.8640 | + | 17.3849i | −0.538026 | + | 0.674663i | ||||
\(665\) | 37.6901 | + | 18.1506i | 1.46156 | + | 0.703849i | ||||
\(666\) | −7.61803 | −0.295193 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | −17.0344 | −0.659082 | ||||||||
\(669\) | −1.48883 | − | 0.716982i | −0.0575615 | − | 0.0277201i | ||||
\(670\) | 2.26908 | − | 2.84534i | 0.0876622 | − | 0.109925i | ||||
\(671\) | 0.532524 | + | 0.667764i | 0.0205579 | + | 0.0257787i | ||||
\(672\) | −6.99506 | − | 3.36864i | −0.269840 | − | 0.129948i | ||||
\(673\) | 5.83119 | − | 2.80815i | 0.224776 | − | 0.108246i | −0.318107 | − | 0.948055i | \(-0.603047\pi\) |
0.542883 | + | 0.839808i | \(0.317333\pi\) | |||||||
\(674\) | −13.1280 | + | 16.4620i | −0.505673 | + | 0.634094i | ||||
\(675\) | 7.61351 | + | 33.3569i | 0.293044 | + | 1.28391i | ||||
\(676\) | −4.66054 | − | 20.4192i | −0.179251 | − | 0.785352i | ||||
\(677\) | 25.4588 | + | 31.9244i | 0.978463 | + | 1.22695i | 0.973903 | + | 0.226964i | \(0.0728800\pi\) |
0.00455972 | + | 0.999990i | \(0.498549\pi\) | |||||||
\(678\) | −0.675227 | + | 2.95836i | −0.0259319 | + | 0.113615i | ||||
\(679\) | 7.96556 | 0.305690 | ||||||||
\(680\) | −8.40327 | + | 36.8171i | −0.322251 | + | 1.41187i | ||||
\(681\) | 11.6314 | − | 5.60137i | 0.445714 | − | 0.214645i | ||||
\(682\) | 7.76458 | − | 3.73922i | 0.297321 | − | 0.143182i | ||||
\(683\) | −4.64047 | + | 20.3312i | −0.177563 | + | 0.777954i | 0.805188 | + | 0.593019i | \(0.202064\pi\) |
−0.982751 | + | 0.184934i | \(0.940793\pi\) | |||||||
\(684\) | 20.5623 | 0.786219 | ||||||||
\(685\) | 6.12845 | − | 26.8505i | 0.234156 | − | 1.02591i | ||||
\(686\) | −7.75478 | − | 9.72418i | −0.296079 | − | 0.371271i | ||||
\(687\) | 0.315180 | + | 1.38090i | 0.0120249 | + | 0.0526845i | ||||
\(688\) | −2.98543 | − | 13.0800i | −0.113819 | − | 0.498671i | ||||
\(689\) | 0.294372 | − | 0.369131i | 0.0112147 | − | 0.0140628i | ||||
\(690\) | −1.63946 | + | 0.789521i | −0.0624131 | + | 0.0300565i | ||||
\(691\) | −10.6610 | − | 5.13407i | −0.405563 | − | 0.195309i | 0.219970 | − | 0.975507i | \(-0.429404\pi\) |
−0.625533 | + | 0.780198i | \(0.715118\pi\) | |||||||
\(692\) | −4.12628 | − | 5.17419i | −0.156858 | − | 0.196693i | ||||
\(693\) | 5.04414 | − | 6.32515i | 0.191611 | − | 0.240273i | ||||
\(694\) | −17.8879 | − | 8.61437i | −0.679016 | − | 0.326997i | ||||
\(695\) | 4.97871 | 0.188853 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −16.8885 | −0.639699 | ||||||||
\(698\) | 2.52125 | + | 1.21417i | 0.0954306 | + | 0.0459570i | ||||
\(699\) | 5.87103 | − | 7.36204i | 0.222063 | − | 0.278458i | ||||
\(700\) | 22.2290 | + | 27.8742i | 0.840176 | + | 1.05355i | ||||
\(701\) | 18.9706 | + | 9.13574i | 0.716508 | + | 0.345052i | 0.756362 | − | 0.654153i | \(-0.226975\pi\) |
−0.0398539 | + | 0.999206i | \(0.512689\pi\) | |||||||
\(702\) | 0.456411 | − | 0.219796i | 0.0172261 | − | 0.00829566i | ||||
\(703\) | −14.2493 | + | 17.8681i | −0.537423 | + | 0.673907i | ||||
\(704\) | 0.0725948 | + | 0.318058i | 0.00273602 | + | 0.0119873i | ||||
\(705\) | −3.71026 | − | 16.2557i | −0.139737 | − | 0.612226i | ||||
\(706\) | 7.36944 | + | 9.24098i | 0.277352 | + | 0.347789i | ||||
\(707\) | 0.307516 | − | 1.34732i | 0.0115653 | − | 0.0506711i | ||||
\(708\) | −6.09017 | −0.228883 | ||||||||
\(709\) | 9.23608 | − | 40.4659i | 0.346868 | − | 1.51973i | −0.437377 | − | 0.899278i | \(-0.644092\pi\) |
0.784245 | − | 0.620451i | \(-0.213051\pi\) | |||||||
\(710\) | 22.4740 | − | 10.8229i | 0.843435 | − | 0.406177i | ||||
\(711\) | 14.3653 | − | 6.91796i | 0.538741 | − | 0.259444i | ||||
\(712\) | 2.34267 | − | 10.2639i | 0.0877953 | − | 0.384656i | ||||
\(713\) | −12.4721 | −0.467085 | ||||||||
\(714\) | −0.832817 | + | 3.64881i | −0.0311674 | + | 0.136553i | ||||
\(715\) | −0.783948 | − | 0.983039i | −0.0293180 | − | 0.0367636i | ||||
\(716\) | −5.76074 | − | 25.2395i | −0.215289 | − | 0.943243i | ||||
\(717\) | 3.81532 | + | 16.7160i | 0.142486 | + | 0.624271i | ||||
\(718\) | −9.15714 | + | 11.4827i | −0.341742 | + | 0.428530i | ||||
\(719\) | −7.66416 | + | 3.69087i | −0.285825 | + | 0.137646i | −0.571303 | − | 0.820739i | \(-0.693562\pi\) |
0.285478 | + | 0.958385i | \(0.407848\pi\) | |||||||
\(720\) | 16.8555 | + | 8.11719i | 0.628168 | + | 0.302510i | ||||
\(721\) | −12.7989 | − | 16.0493i | −0.476656 | − | 0.597708i | ||||
\(722\) | −1.75803 | + | 2.20450i | −0.0654271 | + | 0.0820430i | ||||
\(723\) | 2.59064 | + | 1.24758i | 0.0963468 | + | 0.0463982i | ||||
\(724\) | −9.61803 | −0.357451 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 3.47214 | 0.128863 | ||||||||
\(727\) | 25.2773 | + | 12.1729i | 0.937485 | + | 0.451469i | 0.839281 | − | 0.543698i | \(-0.182976\pi\) |
0.0982034 | + | 0.995166i | \(0.468690\pi\) | |||||||
\(728\) | 0.735930 | − | 0.922827i | 0.0272754 | − | 0.0342022i | ||||
\(729\) | −5.30376 | − | 6.65071i | −0.196436 | − | 0.246323i | ||||
\(730\) | 29.4189 | + | 14.1674i | 1.08884 | + | 0.524358i | ||||
\(731\) | −28.5681 | + | 13.7577i | −1.05663 | + | 0.508846i | ||||
\(732\) | −0.385338 | + | 0.483198i | −0.0142425 | + | 0.0178595i | ||||
\(733\) | 3.29768 | + | 14.4481i | 0.121803 | + | 0.533653i | 0.998605 | + | 0.0528016i | \(0.0168151\pi\) |
−0.876802 | + | 0.480851i | \(0.840328\pi\) | |||||||
\(734\) | −3.75039 | − | 16.4315i | −0.138429 | − | 0.606499i | ||||
\(735\) | −2.97026 | − | 3.72459i | −0.109560 | − | 0.137384i | ||||
\(736\) | −1.54525 | + | 6.77016i | −0.0569585 | + | 0.249552i | ||||
\(737\) | −2.11146 | −0.0777765 | ||||||||
\(738\) | 1.38766 | − | 6.07972i | 0.0510803 | − | 0.223797i | ||||
\(739\) | −45.1105 | + | 21.7241i | −1.65942 | + | 0.799133i | −0.660588 | + | 0.750749i | \(0.729693\pi\) |
−0.998829 | + | 0.0483844i | \(0.984593\pi\) | |||||||
\(740\) | −26.4531 | + | 12.7391i | −0.972434 | + | 0.468299i | ||||
\(741\) | 0.157590 | − | 0.690448i | 0.00578922 | − | 0.0253642i | ||||
\(742\) | −2.76393 | −0.101467 | ||||||||
\(743\) | 7.84076 | − | 34.3526i | 0.287650 | − | 1.26028i | −0.600091 | − | 0.799932i | \(-0.704869\pi\) |
0.887741 | − | 0.460344i | \(-0.152274\pi\) | |||||||
\(744\) | 8.69411 | + | 10.9021i | 0.318742 | + | 0.399689i | ||||
\(745\) | −8.24860 | − | 36.1395i | −0.302205 | − | 1.32405i | ||||
\(746\) | 2.83551 | + | 12.4232i | 0.103815 | + | 0.454844i | ||||
\(747\) | 16.2322 | − | 20.3545i | 0.593905 | − | 0.744734i | ||||
\(748\) | 8.82803 | − | 4.25136i | 0.322785 | − | 0.155445i | ||||
\(749\) | 13.6268 | + | 6.56232i | 0.497913 | + | 0.239782i | ||||
\(750\) | −4.45539 | − | 5.58689i | −0.162688 | − | 0.204004i | ||||
\(751\) | 11.5519 | − | 14.4857i | 0.421536 | − | 0.528590i | −0.525037 | − | 0.851080i | \(-0.675948\pi\) |
0.946573 | + | 0.322490i | \(0.104520\pi\) | |||||||
\(752\) | −11.6934 | − | 5.63125i | −0.426415 | − | 0.205351i | ||||
\(753\) | 12.1459 | 0.442621 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 10.3050 | 0.375036 | ||||||||
\(756\) | 11.3182 | + | 5.45058i | 0.411641 | + | 0.198236i | ||||
\(757\) | 0.0132718 | − | 0.0166422i | 0.000482370 | − | 0.000604873i | −0.781590 | − | 0.623792i | \(-0.785591\pi\) |
0.782073 | + | 0.623187i | \(0.214163\pi\) | |||||||
\(758\) | −9.36055 | − | 11.7378i | −0.339990 | − | 0.426335i | ||||
\(759\) | 0.951178 | + | 0.458063i | 0.0345256 | + | 0.0166266i | ||||
\(760\) | −37.6901 | + | 18.1506i | −1.36716 | + | 0.658391i | ||||
\(761\) | 15.7130 | − | 19.7034i | 0.569594 | − | 0.714249i | −0.410705 | − | 0.911768i | \(-0.634717\pi\) |
0.980299 | + | 0.197520i | \(0.0632887\pi\) | |||||||
\(762\) | −1.35519 | − | 5.93748i | −0.0490934 | − | 0.215092i | ||||
\(763\) | −7.15606 | − | 31.3528i | −0.259067 | − | 1.13505i | ||||
\(764\) | 17.1848 | + | 21.5491i | 0.621725 | + | 0.779618i | ||||
\(765\) | 9.83871 | − | 43.1062i | 0.355719 | − | 1.55851i | ||||
\(766\) | 17.8328 | 0.644326 | ||||||||
\(767\) | 0.319917 | − | 1.40165i | 0.0115515 | − | 0.0506106i | ||||
\(768\) | 3.65408 | − |