Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(535,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.535");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.e (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(34\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 535.3 | ||
Character | \(\chi\) | \(=\) | 804.535 |
Dual form | 804.2.e.a.535.4 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.35079 | − | 0.418775i | −0.955151 | − | 0.296118i | ||||
\(3\) | −1.00000 | −0.577350 | ||||||||
\(4\) | 1.64926 | + | 1.13135i | 0.824628 | + | 0.565676i | ||||
\(5\) | − | 1.44885i | − | 0.647946i | −0.946066 | − | 0.323973i | \(-0.894981\pi\) | ||
0.946066 | − | 0.323973i | \(-0.105019\pi\) | |||||||
\(6\) | 1.35079 | + | 0.418775i | 0.551457 | + | 0.170964i | ||||
\(7\) | 2.69839 | 1.01990 | 0.509949 | − | 0.860205i | \(-0.329664\pi\) | ||||
0.509949 | + | 0.860205i | \(0.329664\pi\) | |||||||
\(8\) | −1.75401 | − | 2.21888i | −0.620137 | − | 0.784493i | ||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | −0.606742 | + | 1.95709i | −0.191869 | + | 0.618886i | ||||
\(11\) | −3.96281 | −1.19483 | −0.597416 | − | 0.801932i | \(-0.703806\pi\) | ||||
−0.597416 | + | 0.801932i | \(0.703806\pi\) | |||||||
\(12\) | −1.64926 | − | 1.13135i | −0.476099 | − | 0.326593i | ||||
\(13\) | − | 2.95030i | − | 0.818267i | −0.912474 | − | 0.409134i | \(-0.865831\pi\) | ||
0.912474 | − | 0.409134i | \(-0.134169\pi\) | |||||||
\(14\) | −3.64496 | − | 1.13002i | −0.974156 | − | 0.302010i | ||||
\(15\) | 1.44885i | 0.374092i | ||||||||
\(16\) | 1.44009 | + | 3.73177i | 0.360022 | + | 0.932944i | ||||
\(17\) | −2.16410 | −0.524871 | −0.262435 | − | 0.964950i | \(-0.584526\pi\) | ||||
−0.262435 | + | 0.964950i | \(0.584526\pi\) | |||||||
\(18\) | −1.35079 | − | 0.418775i | −0.318384 | − | 0.0987061i | ||||
\(19\) | − | 6.52411i | − | 1.49673i | −0.663285 | − | 0.748366i | \(-0.730838\pi\) | ||
0.663285 | − | 0.748366i | \(-0.269162\pi\) | |||||||
\(20\) | 1.63916 | − | 2.38953i | 0.366527 | − | 0.534314i | ||||
\(21\) | −2.69839 | −0.588838 | ||||||||
\(22\) | 5.35291 | + | 1.65952i | 1.14124 | + | 0.353812i | ||||
\(23\) | 5.27567i | 1.10005i | 0.835147 | + | 0.550026i | \(0.185382\pi\) | ||||
−0.835147 | + | 0.550026i | \(0.814618\pi\) | |||||||
\(24\) | 1.75401 | + | 2.21888i | 0.358036 | + | 0.452927i | ||||
\(25\) | 2.90083 | 0.580166 | ||||||||
\(26\) | −1.23551 | + | 3.98524i | −0.242304 | + | 0.781569i | ||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | 4.45034 | + | 3.05283i | 0.841036 | + | 0.576931i | ||||
\(29\) | 1.48281 | 0.275351 | 0.137675 | − | 0.990477i | \(-0.456037\pi\) | ||||
0.137675 | + | 0.990477i | \(0.456037\pi\) | |||||||
\(30\) | 0.606742 | − | 1.95709i | 0.110775 | − | 0.357314i | ||||
\(31\) | 4.41014 | 0.792084 | 0.396042 | − | 0.918232i | \(-0.370383\pi\) | ||||
0.396042 | + | 0.918232i | \(0.370383\pi\) | |||||||
\(32\) | −0.382482 | − | 5.64391i | −0.0676139 | − | 0.997712i | ||||
\(33\) | 3.96281 | 0.689836 | ||||||||
\(34\) | 2.92324 | + | 0.906269i | 0.501331 | + | 0.155424i | ||||
\(35\) | − | 3.90957i | − | 0.660838i | ||||||
\(36\) | 1.64926 | + | 1.13135i | 0.274876 | + | 0.188559i | ||||
\(37\) | −6.67597 | −1.09752 | −0.548762 | − | 0.835979i | \(-0.684901\pi\) | ||||
−0.548762 | + | 0.835979i | \(0.684901\pi\) | |||||||
\(38\) | −2.73213 | + | 8.81269i | −0.443210 | + | 1.42961i | ||||
\(39\) | 2.95030i | 0.472427i | ||||||||
\(40\) | −3.21483 | + | 2.54130i | −0.508309 | + | 0.401815i | ||||
\(41\) | − | 0.555830i | − | 0.0868060i | −0.999058 | − | 0.0434030i | \(-0.986180\pi\) | ||
0.999058 | − | 0.0434030i | \(-0.0138199\pi\) | |||||||
\(42\) | 3.64496 | + | 1.13002i | 0.562429 | + | 0.174366i | ||||
\(43\) | −10.5214 | −1.60451 | −0.802253 | − | 0.596984i | \(-0.796365\pi\) | ||||
−0.802253 | + | 0.596984i | \(0.796365\pi\) | |||||||
\(44\) | −6.53568 | − | 4.48333i | −0.985291 | − | 0.675887i | ||||
\(45\) | − | 1.44885i | − | 0.215982i | ||||||
\(46\) | 2.20931 | − | 7.12631i | 0.325746 | − | 1.05072i | ||||
\(47\) | − | 10.0095i | − | 1.46003i | −0.683429 | − | 0.730017i | \(-0.739512\pi\) | ||
0.683429 | − | 0.730017i | \(-0.260488\pi\) | |||||||
\(48\) | −1.44009 | − | 3.73177i | −0.207859 | − | 0.538635i | ||||
\(49\) | 0.281330 | 0.0401900 | ||||||||
\(50\) | −3.91841 | − | 1.21479i | −0.554146 | − | 0.171798i | ||||
\(51\) | 2.16410 | 0.303034 | ||||||||
\(52\) | 3.33783 | − | 4.86581i | 0.462874 | − | 0.674766i | ||||
\(53\) | 3.34580i | 0.459581i | 0.973240 | + | 0.229790i | \(0.0738041\pi\) | ||||
−0.973240 | + | 0.229790i | \(0.926196\pi\) | |||||||
\(54\) | 1.35079 | + | 0.418775i | 0.183819 | + | 0.0569880i | ||||
\(55\) | 5.74152i | 0.774186i | ||||||||
\(56\) | −4.73302 | − | 5.98742i | −0.632476 | − | 0.800102i | ||||
\(57\) | 6.52411i | 0.864139i | ||||||||
\(58\) | −2.00296 | − | 0.620963i | −0.263002 | − | 0.0815364i | ||||
\(59\) | − | 7.97794i | − | 1.03864i | −0.854580 | − | 0.519320i | \(-0.826185\pi\) | ||
0.854580 | − | 0.519320i | \(-0.173815\pi\) | |||||||
\(60\) | −1.63916 | + | 2.38953i | −0.211615 | + | 0.308486i | ||||
\(61\) | − | 0.843705i | − | 0.108025i | −0.998540 | − | 0.0540127i | \(-0.982799\pi\) | ||
0.998540 | − | 0.0540127i | \(-0.0172011\pi\) | |||||||
\(62\) | −5.95716 | − | 1.84685i | −0.756560 | − | 0.234551i | ||||
\(63\) | 2.69839 | 0.339966 | ||||||||
\(64\) | −1.84687 | + | 7.78390i | −0.230859 | + | 0.972987i | ||||
\(65\) | −4.27455 | −0.530193 | ||||||||
\(66\) | −5.35291 | − | 1.65952i | −0.658898 | − | 0.204273i | ||||
\(67\) | 1.85078 | − | 7.97337i | 0.226108 | − | 0.974102i | ||||
\(68\) | −3.56915 | − | 2.44835i | −0.432823 | − | 0.296907i | ||||
\(69\) | − | 5.27567i | − | 0.635116i | ||||||
\(70\) | −1.63723 | + | 5.28100i | −0.195686 | + | 0.631200i | ||||
\(71\) | − | 13.4338i | − | 1.59429i | −0.603786 | − | 0.797147i | \(-0.706342\pi\) | ||
0.603786 | − | 0.797147i | \(-0.293658\pi\) | |||||||
\(72\) | −1.75401 | − | 2.21888i | −0.206712 | − | 0.261498i | ||||
\(73\) | −8.46368 | −0.990599 | −0.495299 | − | 0.868722i | \(-0.664942\pi\) | ||||
−0.495299 | + | 0.868722i | \(0.664942\pi\) | |||||||
\(74\) | 9.01782 | + | 2.79573i | 1.04830 | + | 0.324997i | ||||
\(75\) | −2.90083 | −0.334959 | ||||||||
\(76\) | 7.38106 | − | 10.7599i | 0.846665 | − | 1.23425i | ||||
\(77\) | −10.6932 | −1.21861 | ||||||||
\(78\) | 1.23551 | − | 3.98524i | 0.139894 | − | 0.451239i | ||||
\(79\) | −12.5364 | −1.41045 | −0.705225 | − | 0.708984i | \(-0.749154\pi\) | ||||
−0.705225 | + | 0.708984i | \(0.749154\pi\) | |||||||
\(80\) | 5.40679 | − | 2.08647i | 0.604497 | − | 0.233275i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −0.232767 | + | 0.750808i | −0.0257049 | + | 0.0829129i | ||||
\(83\) | − | 8.13775i | − | 0.893234i | −0.894725 | − | 0.446617i | \(-0.852629\pi\) | ||
0.894725 | − | 0.446617i | \(-0.147371\pi\) | |||||||
\(84\) | −4.45034 | − | 3.05283i | −0.485572 | − | 0.333091i | ||||
\(85\) | 3.13545i | 0.340088i | ||||||||
\(86\) | 14.2122 | + | 4.40612i | 1.53255 | + | 0.475124i | ||||
\(87\) | −1.48281 | −0.158974 | ||||||||
\(88\) | 6.95082 | + | 8.79300i | 0.740960 | + | 0.937337i | ||||
\(89\) | 3.50640 | 0.371677 | 0.185839 | − | 0.982580i | \(-0.440500\pi\) | ||||
0.185839 | + | 0.982580i | \(0.440500\pi\) | |||||||
\(90\) | −0.606742 | + | 1.95709i | −0.0639562 | + | 0.206295i | ||||
\(91\) | − | 7.96108i | − | 0.834548i | ||||||
\(92\) | −5.96863 | + | 8.70092i | −0.622273 | + | 0.907134i | ||||
\(93\) | −4.41014 | −0.457310 | ||||||||
\(94\) | −4.19172 | + | 13.5207i | −0.432343 | + | 1.39455i | ||||
\(95\) | −9.45246 | −0.969802 | ||||||||
\(96\) | 0.382482 | + | 5.64391i | 0.0390369 | + | 0.576029i | ||||
\(97\) | − | 8.55060i | − | 0.868182i | −0.900869 | − | 0.434091i | \(-0.857070\pi\) | ||
0.900869 | − | 0.434091i | \(-0.142930\pi\) | |||||||
\(98\) | −0.380018 | − | 0.117814i | −0.0383876 | − | 0.0119010i | ||||
\(99\) | −3.96281 | −0.398277 | ||||||||
\(100\) | 4.78421 | + | 3.28186i | 0.478421 | + | 0.328186i | ||||
\(101\) | 14.9096i | 1.48356i | 0.670644 | + | 0.741779i | \(0.266018\pi\) | ||||
−0.670644 | + | 0.741779i | \(0.733982\pi\) | |||||||
\(102\) | −2.92324 | − | 0.906269i | −0.289444 | − | 0.0897340i | ||||
\(103\) | 9.31724i | 0.918055i | 0.888422 | + | 0.459027i | \(0.151802\pi\) | ||||
−0.888422 | + | 0.459027i | \(0.848198\pi\) | |||||||
\(104\) | −6.54638 | + | 5.17487i | −0.641925 | + | 0.507438i | ||||
\(105\) | 3.90957i | 0.381535i | ||||||||
\(106\) | 1.40114 | − | 4.51947i | 0.136090 | − | 0.438969i | ||||
\(107\) | 8.13306i | 0.786253i | 0.919484 | + | 0.393127i | \(0.128607\pi\) | ||||
−0.919484 | + | 0.393127i | \(0.871393\pi\) | |||||||
\(108\) | −1.64926 | − | 1.13135i | −0.158700 | − | 0.108864i | ||||
\(109\) | − | 3.88557i | − | 0.372170i | −0.982534 | − | 0.186085i | \(-0.940420\pi\) | ||
0.982534 | − | 0.186085i | \(-0.0595800\pi\) | |||||||
\(110\) | 2.40440 | − | 7.75557i | 0.229251 | − | 0.739465i | ||||
\(111\) | 6.67597 | 0.633655 | ||||||||
\(112\) | 3.88593 | + | 10.0698i | 0.367186 | + | 0.951507i | ||||
\(113\) | − | 10.5265i | − | 0.990252i | −0.868821 | − | 0.495126i | \(-0.835122\pi\) | ||
0.868821 | − | 0.495126i | \(-0.164878\pi\) | |||||||
\(114\) | 2.73213 | − | 8.81269i | 0.255887 | − | 0.825384i | ||||
\(115\) | 7.64365 | 0.712774 | ||||||||
\(116\) | 2.44553 | + | 1.67758i | 0.227062 | + | 0.155759i | ||||
\(117\) | − | 2.95030i | − | 0.272756i | ||||||
\(118\) | −3.34096 | + | 10.7765i | −0.307560 | + | 0.992057i | ||||
\(119\) | −5.83959 | −0.535314 | ||||||||
\(120\) | 3.21483 | − | 2.54130i | 0.293472 | − | 0.231988i | ||||
\(121\) | 4.70385 | 0.427622 | ||||||||
\(122\) | −0.353322 | + | 1.13967i | −0.0319883 | + | 0.103181i | ||||
\(123\) | 0.555830i | 0.0501175i | ||||||||
\(124\) | 7.27345 | + | 4.98942i | 0.653175 | + | 0.448063i | ||||
\(125\) | − | 11.4471i | − | 1.02386i | ||||||
\(126\) | −3.64496 | − | 1.13002i | −0.324719 | − | 0.100670i | ||||
\(127\) | − | 1.37164i | − | 0.121713i | −0.998147 | − | 0.0608567i | \(-0.980617\pi\) | ||
0.998147 | − | 0.0608567i | \(-0.0193833\pi\) | |||||||
\(128\) | 5.75443 | − | 9.74097i | 0.508625 | − | 0.860988i | ||||
\(129\) | 10.5214 | 0.926362 | ||||||||
\(130\) | 5.77401 | + | 1.79007i | 0.506414 | + | 0.157000i | ||||
\(131\) | − | 12.0496i | − | 1.05278i | −0.850245 | − | 0.526388i | \(-0.823546\pi\) | ||
0.850245 | − | 0.526388i | \(-0.176454\pi\) | |||||||
\(132\) | 6.53568 | + | 4.48333i | 0.568858 | + | 0.390224i | ||||
\(133\) | − | 17.6046i | − | 1.52651i | ||||||
\(134\) | −5.83905 | + | 9.99527i | −0.504417 | + | 0.863460i | ||||
\(135\) | 1.44885i | 0.124697i | ||||||||
\(136\) | 3.79586 | + | 4.80188i | 0.325492 | + | 0.411757i | ||||
\(137\) | 9.32069i | 0.796320i | 0.917316 | + | 0.398160i | \(0.130351\pi\) | ||||
−0.917316 | + | 0.398160i | \(0.869649\pi\) | |||||||
\(138\) | −2.20931 | + | 7.12631i | −0.188069 | + | 0.606631i | ||||
\(139\) | 6.89205 | 0.584576 | 0.292288 | − | 0.956330i | \(-0.405583\pi\) | ||||
0.292288 | + | 0.956330i | \(0.405583\pi\) | |||||||
\(140\) | 4.42310 | − | 6.44788i | 0.373820 | − | 0.544945i | ||||
\(141\) | 10.0095i | 0.842951i | ||||||||
\(142\) | −5.62571 | + | 18.1462i | −0.472100 | + | 1.52279i | ||||
\(143\) | 11.6915i | 0.977692i | ||||||||
\(144\) | 1.44009 | + | 3.73177i | 0.120007 | + | 0.310981i | ||||
\(145\) | − | 2.14837i | − | 0.178412i | ||||||
\(146\) | 11.4326 | + | 3.54437i | 0.946171 | + | 0.293334i | ||||
\(147\) | −0.281330 | −0.0232037 | ||||||||
\(148\) | −11.0104 | − | 7.55287i | −0.905048 | − | 0.620842i | ||||
\(149\) | −8.35907 | −0.684802 | −0.342401 | − | 0.939554i | \(-0.611240\pi\) | ||||
−0.342401 | + | 0.939554i | \(0.611240\pi\) | |||||||
\(150\) | 3.91841 | + | 1.21479i | 0.319937 | + | 0.0991875i | ||||
\(151\) | 19.1949i | 1.56206i | 0.624496 | + | 0.781028i | \(0.285304\pi\) | ||||
−0.624496 | + | 0.781028i | \(0.714696\pi\) | |||||||
\(152\) | −14.4762 | + | 11.4434i | −1.17418 | + | 0.928180i | ||||
\(153\) | −2.16410 | −0.174957 | ||||||||
\(154\) | 14.4443 | + | 4.47805i | 1.16395 | + | 0.360851i | ||||
\(155\) | − | 6.38963i | − | 0.513228i | ||||||
\(156\) | −3.33783 | + | 4.86581i | −0.267240 | + | 0.389576i | ||||
\(157\) | −10.3625 | −0.827014 | −0.413507 | − | 0.910501i | \(-0.635696\pi\) | ||||
−0.413507 | + | 0.910501i | \(0.635696\pi\) | |||||||
\(158\) | 16.9340 | + | 5.24991i | 1.34719 | + | 0.417660i | ||||
\(159\) | − | 3.34580i | − | 0.265339i | ||||||
\(160\) | −8.17718 | + | 0.554159i | −0.646463 | + | 0.0438101i | ||||
\(161\) | 14.2358i | 1.12194i | ||||||||
\(162\) | −1.35079 | − | 0.418775i | −0.106128 | − | 0.0329020i | ||||
\(163\) | − | 2.48121i | − | 0.194343i | −0.995268 | − | 0.0971716i | \(-0.969020\pi\) | ||
0.995268 | − | 0.0971716i | \(-0.0309796\pi\) | |||||||
\(164\) | 0.628839 | − | 0.916705i | 0.0491040 | − | 0.0715827i | ||||
\(165\) | − | 5.74152i | − | 0.446977i | ||||||
\(166\) | −3.40788 | + | 10.9924i | −0.264503 | + | 0.853174i | ||||
\(167\) | − | 12.4615i | − | 0.964300i | −0.876089 | − | 0.482150i | \(-0.839856\pi\) | ||
0.876089 | − | 0.482150i | \(-0.160144\pi\) | |||||||
\(168\) | 4.73302 | + | 5.98742i | 0.365160 | + | 0.461939i | ||||
\(169\) | 4.29570 | 0.330439 | ||||||||
\(170\) | 1.31305 | − | 4.23533i | 0.100706 | − | 0.324835i | ||||
\(171\) | − | 6.52411i | − | 0.498911i | ||||||
\(172\) | −17.3526 | − | 11.9035i | −1.32312 | − | 0.907630i | ||||
\(173\) | 11.2618 | 0.856221 | 0.428111 | − | 0.903726i | \(-0.359179\pi\) | ||||
0.428111 | + | 0.903726i | \(0.359179\pi\) | |||||||
\(174\) | 2.00296 | + | 0.620963i | 0.151844 | + | 0.0470751i | ||||
\(175\) | 7.82758 | 0.591710 | ||||||||
\(176\) | −5.70679 | − | 14.7883i | −0.430166 | − | 1.11471i | ||||
\(177\) | 7.97794i | 0.599659i | ||||||||
\(178\) | −4.73640 | − | 1.46839i | −0.355008 | − | 0.110060i | ||||
\(179\) | 24.6622 | 1.84334 | 0.921671 | − | 0.387972i | \(-0.126824\pi\) | ||||
0.921671 | + | 0.387972i | \(0.126824\pi\) | |||||||
\(180\) | 1.63916 | − | 2.38953i | 0.122176 | − | 0.178105i | ||||
\(181\) | 23.7830 | 1.76778 | 0.883888 | − | 0.467699i | \(-0.154917\pi\) | ||||
0.883888 | + | 0.467699i | \(0.154917\pi\) | |||||||
\(182\) | −3.33390 | + | 10.7537i | −0.247125 | + | 0.797120i | ||||
\(183\) | 0.843705i | 0.0623685i | ||||||||
\(184\) | 11.7061 | − | 9.25359i | 0.862984 | − | 0.682184i | ||||
\(185\) | 9.67249i | 0.711136i | ||||||||
\(186\) | 5.95716 | + | 1.84685i | 0.436800 | + | 0.135418i | ||||
\(187\) | 8.57590 | 0.627132 | ||||||||
\(188\) | 11.3243 | − | 16.5082i | 0.825906 | − | 1.20399i | ||||
\(189\) | −2.69839 | −0.196279 | ||||||||
\(190\) | 12.7683 | + | 3.95845i | 0.926307 | + | 0.287176i | ||||
\(191\) | 11.8983 | 0.860932 | 0.430466 | − | 0.902607i | \(-0.358349\pi\) | ||||
0.430466 | + | 0.902607i | \(0.358349\pi\) | |||||||
\(192\) | 1.84687 | − | 7.78390i | 0.133287 | − | 0.561754i | ||||
\(193\) | −19.2001 | −1.38205 | −0.691026 | − | 0.722830i | \(-0.742841\pi\) | ||||
−0.691026 | + | 0.722830i | \(0.742841\pi\) | |||||||
\(194\) | −3.58077 | + | 11.5500i | −0.257084 | + | 0.829245i | ||||
\(195\) | 4.27455 | 0.306107 | ||||||||
\(196\) | 0.463986 | + | 0.318283i | 0.0331418 | + | 0.0227345i | ||||
\(197\) | − | 8.66502i | − | 0.617357i | −0.951166 | − | 0.308679i | \(-0.900113\pi\) | ||
0.951166 | − | 0.308679i | \(-0.0998868\pi\) | |||||||
\(198\) | 5.35291 | + | 1.65952i | 0.380415 | + | 0.117937i | ||||
\(199\) | − | 3.96638i | − | 0.281169i | −0.990069 | − | 0.140585i | \(-0.955102\pi\) | ||
0.990069 | − | 0.140585i | \(-0.0448982\pi\) | |||||||
\(200\) | −5.08810 | − | 6.43660i | −0.359783 | − | 0.455136i | ||||
\(201\) | −1.85078 | + | 7.97337i | −0.130544 | + | 0.562398i | ||||
\(202\) | 6.24375 | − | 20.1397i | 0.439309 | − | 1.41702i | ||||
\(203\) | 4.00120 | 0.280829 | ||||||||
\(204\) | 3.56915 | + | 2.44835i | 0.249890 | + | 0.171419i | ||||
\(205\) | −0.805314 | −0.0562456 | ||||||||
\(206\) | 3.90182 | − | 12.5856i | 0.271853 | − | 0.876881i | ||||
\(207\) | 5.27567i | 0.366684i | ||||||||
\(208\) | 11.0099 | − | 4.24870i | 0.763397 | − | 0.294594i | ||||
\(209\) | 25.8538i | 1.78834i | ||||||||
\(210\) | 1.63723 | − | 5.28100i | 0.112980 | − | 0.364424i | ||||
\(211\) | 16.2868i | 1.12123i | 0.828077 | + | 0.560615i | \(0.189435\pi\) | ||||
−0.828077 | + | 0.560615i | \(0.810565\pi\) | |||||||
\(212\) | −3.78527 | + | 5.51808i | −0.259974 | + | 0.378983i | ||||
\(213\) | 13.4338i | 0.920466i | ||||||||
\(214\) | 3.40592 | − | 10.9860i | 0.232824 | − | 0.750991i | ||||
\(215\) | 15.2440i | 1.03963i | ||||||||
\(216\) | 1.75401 | + | 2.21888i | 0.119345 | + | 0.150976i | ||||
\(217\) | 11.9003 | 0.807845 | ||||||||
\(218\) | −1.62718 | + | 5.24858i | −0.110206 | + | 0.355479i | ||||
\(219\) | 8.46368 | 0.571922 | ||||||||
\(220\) | −6.49567 | + | 9.46923i | −0.437938 | + | 0.638415i | ||||
\(221\) | 6.38475i | 0.429484i | ||||||||
\(222\) | −9.01782 | − | 2.79573i | −0.605237 | − | 0.187637i | ||||
\(223\) | − | 10.7707i | − | 0.721258i | −0.932709 | − | 0.360629i | \(-0.882562\pi\) | ||
0.932709 | − | 0.360629i | \(-0.117438\pi\) | |||||||
\(224\) | −1.03209 | − | 15.2295i | −0.0689592 | − | 1.01756i | ||||
\(225\) | 2.90083 | 0.193389 | ||||||||
\(226\) | −4.40824 | + | 14.2191i | −0.293232 | + | 0.945840i | ||||
\(227\) | 23.5814i | 1.56515i | 0.622554 | + | 0.782577i | \(0.286095\pi\) | ||||
−0.622554 | + | 0.782577i | \(0.713905\pi\) | |||||||
\(228\) | −7.38106 | + | 10.7599i | −0.488822 | + | 0.712593i | ||||
\(229\) | 0.0643122i | 0.00424987i | 0.999998 | + | 0.00212494i | \(0.000676388\pi\) | ||||
−0.999998 | + | 0.00212494i | \(0.999324\pi\) | |||||||
\(230\) | −10.3250 | − | 3.20097i | −0.680807 | − | 0.211066i | ||||
\(231\) | 10.6932 | 0.703562 | ||||||||
\(232\) | −2.60087 | − | 3.29018i | −0.170755 | − | 0.216011i | ||||
\(233\) | − | 4.77483i | − | 0.312809i | −0.987693 | − | 0.156405i | \(-0.950010\pi\) | ||
0.987693 | − | 0.156405i | \(-0.0499904\pi\) | |||||||
\(234\) | −1.23551 | + | 3.98524i | −0.0807680 | + | 0.260523i | ||||
\(235\) | −14.5023 | −0.946023 | ||||||||
\(236\) | 9.02585 | − | 13.1577i | 0.587533 | − | 0.856491i | ||||
\(237\) | 12.5364 | 0.814324 | ||||||||
\(238\) | 7.88804 | + | 2.44547i | 0.511306 | + | 0.158516i | ||||
\(239\) | 13.2223 | 0.855278 | 0.427639 | − | 0.903950i | \(-0.359345\pi\) | ||||
0.427639 | + | 0.903950i | \(0.359345\pi\) | |||||||
\(240\) | −5.40679 | + | 2.08647i | −0.349007 | + | 0.134681i | ||||
\(241\) | 26.9947 | 1.73888 | 0.869439 | − | 0.494040i | \(-0.164480\pi\) | ||||
0.869439 | + | 0.494040i | \(0.164480\pi\) | |||||||
\(242\) | −6.35390 | − | 1.96985i | −0.408444 | − | 0.126627i | ||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | 0.954527 | − | 1.39149i | 0.0611073 | − | 0.0890807i | ||||
\(245\) | − | 0.407606i | − | 0.0260410i | ||||||
\(246\) | 0.232767 | − | 0.750808i | 0.0148407 | − | 0.0478698i | ||||
\(247\) | −19.2481 | −1.22473 | ||||||||
\(248\) | −7.73544 | − | 9.78558i | −0.491201 | − | 0.621385i | ||||
\(249\) | 8.13775i | 0.515709i | ||||||||
\(250\) | −4.79377 | + | 15.4626i | −0.303184 | + | 0.977943i | ||||
\(251\) | −11.9629 | −0.755091 | −0.377546 | − | 0.925991i | \(-0.623232\pi\) | ||||
−0.377546 | + | 0.925991i | \(0.623232\pi\) | |||||||
\(252\) | 4.45034 | + | 3.05283i | 0.280345 | + | 0.192310i | ||||
\(253\) | − | 20.9065i | − | 1.31438i | ||||||
\(254\) | −0.574408 | + | 1.85280i | −0.0360416 | + | 0.116255i | ||||
\(255\) | − | 3.13545i | − | 0.196350i | ||||||
\(256\) | −11.8523 | + | 10.7482i | −0.740768 | + | 0.671761i | ||||
\(257\) | 1.46492 | 0.0913791 | 0.0456896 | − | 0.998956i | \(-0.485451\pi\) | ||||
0.0456896 | + | 0.998956i | \(0.485451\pi\) | |||||||
\(258\) | −14.2122 | − | 4.40612i | −0.884816 | − | 0.274313i | ||||
\(259\) | −18.0144 | −1.11936 | ||||||||
\(260\) | −7.04983 | − | 4.83602i | −0.437212 | − | 0.299917i | ||||
\(261\) | 1.48281 | 0.0917836 | ||||||||
\(262\) | −5.04605 | + | 16.2764i | −0.311746 | + | 1.00556i | ||||
\(263\) | 0.0327787i | 0.00202122i | 0.999999 | + | 0.00101061i | \(0.000321688\pi\) | ||||
−0.999999 | + | 0.00101061i | \(0.999678\pi\) | |||||||
\(264\) | −6.95082 | − | 8.79300i | −0.427793 | − | 0.541172i | ||||
\(265\) | 4.84756 | 0.297784 | ||||||||
\(266\) | −7.37236 | + | 23.7801i | −0.452029 | + | 1.45805i | ||||
\(267\) | −3.50640 | −0.214588 | ||||||||
\(268\) | 12.0731 | − | 11.0562i | 0.737481 | − | 0.675368i | ||||
\(269\) | 13.8847 | 0.846562 | 0.423281 | − | 0.905998i | \(-0.360878\pi\) | ||||
0.423281 | + | 0.905998i | \(0.360878\pi\) | |||||||
\(270\) | 0.606742 | − | 1.95709i | 0.0369251 | − | 0.119105i | ||||
\(271\) | 1.69169 | 0.102763 | 0.0513816 | − | 0.998679i | \(-0.483638\pi\) | ||||
0.0513816 | + | 0.998679i | \(0.483638\pi\) | |||||||
\(272\) | −3.11649 | − | 8.07592i | −0.188965 | − | 0.489675i | ||||
\(273\) | 7.96108i | 0.481827i | ||||||||
\(274\) | 3.90327 | − | 12.5903i | 0.235805 | − | 0.760606i | ||||
\(275\) | −11.4954 | −0.693201 | ||||||||
\(276\) | 5.96863 | − | 8.70092i | 0.359269 | − | 0.523734i | ||||
\(277\) | −0.841553 | −0.0505640 | −0.0252820 | − | 0.999680i | \(-0.508048\pi\) | ||||
−0.0252820 | + | 0.999680i | \(0.508048\pi\) | |||||||
\(278\) | −9.30970 | − | 2.88621i | −0.558358 | − | 0.173104i | ||||
\(279\) | 4.41014 | 0.264028 | ||||||||
\(280\) | −8.67488 | + | 6.85744i | −0.518423 | + | 0.409810i | ||||
\(281\) | 25.4809i | 1.52006i | 0.649886 | + | 0.760032i | \(0.274817\pi\) | ||||
−0.649886 | + | 0.760032i | \(0.725183\pi\) | |||||||
\(282\) | 4.19172 | − | 13.5207i | 0.249613 | − | 0.805146i | ||||
\(283\) | 1.94265i | 0.115478i | 0.998332 | + | 0.0577392i | \(0.0183892\pi\) | ||||
−0.998332 | + | 0.0577392i | \(0.981611\pi\) | |||||||
\(284\) | 15.1983 | − | 22.1557i | 0.901853 | − | 1.31470i | ||||
\(285\) | 9.45246 | 0.559915 | ||||||||
\(286\) | 4.89610 | − | 15.7927i | 0.289512 | − | 0.933843i | ||||
\(287\) | − | 1.49985i | − | 0.0885332i | ||||||
\(288\) | −0.382482 | − | 5.64391i | −0.0225380 | − | 0.332571i | ||||
\(289\) | −12.3167 | −0.724511 | ||||||||
\(290\) | −0.899682 | + | 2.90199i | −0.0528312 | + | 0.170411i | ||||
\(291\) | 8.55060i | 0.501245i | ||||||||
\(292\) | −13.9588 | − | 9.57539i | −0.816875 | − | 0.560357i | ||||
\(293\) | −23.0061 | −1.34403 | −0.672016 | − | 0.740536i | \(-0.734571\pi\) | ||||
−0.672016 | + | 0.740536i | \(0.734571\pi\) | |||||||
\(294\) | 0.380018 | + | 0.117814i | 0.0221631 | + | 0.00687105i | ||||
\(295\) | −11.5588 | −0.672982 | ||||||||
\(296\) | 11.7097 | + | 14.8132i | 0.680615 | + | 0.861000i | ||||
\(297\) | 3.96281 | 0.229945 | ||||||||
\(298\) | 11.2913 | + | 3.50057i | 0.654089 | + | 0.202782i | ||||
\(299\) | 15.5648 | 0.900137 | ||||||||
\(300\) | −4.78421 | − | 3.28186i | −0.276217 | − | 0.189478i | ||||
\(301\) | −28.3910 | −1.63643 | ||||||||
\(302\) | 8.03832 | − | 25.9282i | 0.462553 | − | 1.49200i | ||||
\(303\) | − | 14.9096i | − | 0.856533i | ||||||
\(304\) | 24.3465 | − | 9.39529i | 1.39637 | − | 0.538857i | ||||
\(305\) | −1.22240 | −0.0699946 | ||||||||
\(306\) | 2.92324 | + | 0.906269i | 0.167110 | + | 0.0518079i | ||||
\(307\) | 28.0965i | 1.60355i | 0.597626 | + | 0.801775i | \(0.296111\pi\) | ||||
−0.597626 | + | 0.801775i | \(0.703889\pi\) | |||||||
\(308\) | −17.6358 | − | 12.0978i | −1.00490 | − | 0.689335i | ||||
\(309\) | − | 9.31724i | − | 0.530039i | ||||||
\(310\) | −2.67582 | + | 8.63104i | −0.151976 | + | 0.490210i | ||||
\(311\) | 21.5109 | 1.21977 | 0.609885 | − | 0.792490i | \(-0.291216\pi\) | ||||
0.609885 | + | 0.792490i | \(0.291216\pi\) | |||||||
\(312\) | 6.54638 | − | 5.17487i | 0.370616 | − | 0.292970i | ||||
\(313\) | − | 35.2883i | − | 1.99461i | −0.0733438 | − | 0.997307i | \(-0.523367\pi\) | ||
0.0733438 | − | 0.997307i | \(-0.476633\pi\) | |||||||
\(314\) | 13.9975 | + | 4.33953i | 0.789924 | + | 0.244894i | ||||
\(315\) | − | 3.90957i | − | 0.220279i | ||||||
\(316\) | −20.6756 | − | 14.1830i | −1.16310 | − | 0.797857i | ||||
\(317\) | 17.5449 | 0.985418 | 0.492709 | − | 0.870194i | \(-0.336007\pi\) | ||||
0.492709 | + | 0.870194i | \(0.336007\pi\) | |||||||
\(318\) | −1.40114 | + | 4.51947i | −0.0785718 | + | 0.253439i | ||||
\(319\) | −5.87609 | −0.328998 | ||||||||
\(320\) | 11.2777 | + | 2.67584i | 0.630443 | + | 0.149584i | ||||
\(321\) | − | 8.13306i | − | 0.453943i | ||||||
\(322\) | 5.96160 | − | 19.2296i | 0.332227 | − | 1.07162i | ||||
\(323\) | 14.1188i | 0.785591i | ||||||||
\(324\) | 1.64926 | + | 1.13135i | 0.0916253 | + | 0.0628528i | ||||
\(325\) | − | 8.55834i | − | 0.474731i | ||||||
\(326\) | −1.03907 | + | 3.35159i | −0.0575486 | + | 0.185627i | ||||
\(327\) | 3.88557i | 0.214873i | ||||||||
\(328\) | −1.23332 | + | 0.974933i | −0.0680987 | + | 0.0538317i | ||||
\(329\) | − | 27.0096i | − | 1.48908i | ||||||
\(330\) | −2.40440 | + | 7.75557i | −0.132358 | + | 0.426930i | ||||
\(331\) | 12.3828 | 0.680623 | 0.340311 | − | 0.940313i | \(-0.389468\pi\) | ||||
0.340311 | + | 0.940313i | \(0.389468\pi\) | |||||||
\(332\) | 9.20665 | − | 13.4212i | 0.505281 | − | 0.736586i | ||||
\(333\) | −6.67597 | −0.365841 | ||||||||
\(334\) | −5.21856 | + | 16.8329i | −0.285547 | + | 0.921053i | ||||
\(335\) | −11.5522 | − | 2.68150i | −0.631165 | − | 0.146506i | ||||
\(336\) | −3.88593 | − | 10.0698i | −0.211995 | − | 0.549353i | ||||
\(337\) | 5.69001i | 0.309955i | 0.987918 | + | 0.154977i | \(0.0495305\pi\) | ||||
−0.987918 | + | 0.154977i | \(0.950470\pi\) | |||||||
\(338\) | −5.80258 | − | 1.79893i | −0.315619 | − | 0.0978490i | ||||
\(339\) | 10.5265i | 0.571722i | ||||||||
\(340\) | −3.54730 | + | 5.17117i | −0.192379 | + | 0.280446i | ||||
\(341\) | −17.4765 | −0.946407 | ||||||||
\(342\) | −2.73213 | + | 8.81269i | −0.147737 | + | 0.476535i | ||||
\(343\) | −18.1296 | −0.978907 | ||||||||
\(344\) | 18.4548 | + | 23.3459i | 0.995014 | + | 1.25872i | ||||
\(345\) | −7.64365 | −0.411521 | ||||||||
\(346\) | −15.2123 | − | 4.71617i | −0.817821 | − | 0.253543i | ||||
\(347\) | −32.2136 | −1.72932 | −0.864660 | − | 0.502358i | \(-0.832466\pi\) | ||||
−0.864660 | + | 0.502358i | \(0.832466\pi\) | |||||||
\(348\) | −2.44553 | − | 1.67758i | −0.131094 | − | 0.0899276i | ||||
\(349\) | 0.815507 | 0.0436531 | 0.0218265 | − | 0.999762i | \(-0.493052\pi\) | ||||
0.0218265 | + | 0.999762i | \(0.493052\pi\) | |||||||
\(350\) | −10.5734 | − | 3.27799i | −0.565172 | − | 0.175216i | ||||
\(351\) | 2.95030i | 0.157476i | ||||||||
\(352\) | 1.51570 | + | 22.3657i | 0.0807872 | + | 1.19210i | ||||
\(353\) | 1.26977i | 0.0675828i | 0.999429 | + | 0.0337914i | \(0.0107582\pi\) | ||||
−0.999429 | + | 0.0337914i | \(0.989242\pi\) | |||||||
\(354\) | 3.34096 | − | 10.7765i | 0.177570 | − | 0.572765i | ||||
\(355\) | −19.4635 | −1.03302 | ||||||||
\(356\) | 5.78295 | + | 3.96697i | 0.306495 | + | 0.210249i | ||||
\(357\) | 5.83959 | 0.309064 | ||||||||
\(358\) | −33.3135 | − | 10.3279i | −1.76067 | − | 0.545848i | ||||
\(359\) | 13.7173i | 0.723973i | 0.932183 | + | 0.361987i | \(0.117901\pi\) | ||||
−0.932183 | + | 0.361987i | \(0.882099\pi\) | |||||||
\(360\) | −3.21483 | + | 2.54130i | −0.169436 | + | 0.133938i | ||||
\(361\) | −23.5640 | −1.24021 | ||||||||
\(362\) | −32.1258 | − | 9.95971i | −1.68849 | − | 0.523471i | ||||
\(363\) | −4.70385 | −0.246888 | ||||||||
\(364\) | 9.00678 | − | 13.1299i | 0.472084 | − | 0.688192i | ||||
\(365\) | 12.2626i | 0.641854i | ||||||||
\(366\) | 0.353322 | − | 1.13967i | 0.0184684 | − | 0.0595713i | ||||
\(367\) | 32.2468 | 1.68327 | 0.841635 | − | 0.540047i | \(-0.181594\pi\) | ||||
0.841635 | + | 0.540047i | \(0.181594\pi\) | |||||||
\(368\) | −19.6876 | + | 7.59743i | −1.02629 | + | 0.396043i | ||||
\(369\) | − | 0.555830i | − | 0.0289353i | ||||||
\(370\) | 4.05059 | − | 13.0655i | 0.210580 | − | 0.679242i | ||||
\(371\) | 9.02829i | 0.468725i | ||||||||
\(372\) | −7.27345 | − | 4.98942i | −0.377111 | − | 0.258689i | ||||
\(373\) | − | 27.4890i | − | 1.42332i | −0.702522 | − | 0.711662i | \(-0.747943\pi\) | ||
0.702522 | − | 0.711662i | \(-0.252057\pi\) | |||||||
\(374\) | −11.5842 | − | 3.59137i | −0.599006 | − | 0.185705i | ||||
\(375\) | 11.4471i | 0.591127i | ||||||||
\(376\) | −22.2099 | + | 17.5568i | −1.14539 | + | 0.905422i | ||||
\(377\) | − | 4.37474i | − | 0.225310i | ||||||
\(378\) | 3.64496 | + | 1.13002i | 0.187476 | + | 0.0581219i | ||||
\(379\) | 25.1952 | 1.29419 | 0.647095 | − | 0.762409i | \(-0.275984\pi\) | ||||
0.647095 | + | 0.762409i | \(0.275984\pi\) | |||||||
\(380\) | −15.5895 | − | 10.6941i | −0.799726 | − | 0.548593i | ||||
\(381\) | 1.37164i | 0.0702713i | ||||||||
\(382\) | −16.0721 | − | 4.98272i | −0.822321 | − | 0.254938i | ||||
\(383\) | −19.8566 | −1.01463 | −0.507313 | − | 0.861762i | \(-0.669361\pi\) | ||||
−0.507313 | + | 0.861762i | \(0.669361\pi\) | |||||||
\(384\) | −5.75443 | + | 9.74097i | −0.293655 | + | 0.497092i | ||||
\(385\) | 15.4929i | 0.789590i | ||||||||
\(386\) | 25.9352 | + | 8.04051i | 1.32007 | + | 0.409251i | ||||
\(387\) | −10.5214 | −0.534835 | ||||||||
\(388\) | 9.67373 | − | 14.1021i | 0.491109 | − | 0.715927i | ||||
\(389\) | 17.3543 | 0.879899 | 0.439950 | − | 0.898022i | \(-0.354996\pi\) | ||||
0.439950 | + | 0.898022i | \(0.354996\pi\) | |||||||
\(390\) | −5.77401 | − | 1.79007i | −0.292378 | − | 0.0906439i | ||||
\(391\) | − | 11.4171i | − | 0.577385i | ||||||
\(392\) | −0.493457 | − | 0.624239i | −0.0249233 | − | 0.0315288i | ||||
\(393\) | 12.0496i | 0.607820i | ||||||||
\(394\) | −3.62869 | + | 11.7046i | −0.182811 | + | 0.589670i | ||||
\(395\) | 18.1633i | 0.913895i | ||||||||
\(396\) | −6.53568 | − | 4.48333i | −0.328430 | − | 0.225296i | ||||
\(397\) | −15.8998 | −0.797989 | −0.398994 | − | 0.916953i | \(-0.630641\pi\) | ||||
−0.398994 | + | 0.916953i | \(0.630641\pi\) | |||||||
\(398\) | −1.66102 | + | 5.35774i | −0.0832593 | + | 0.268559i | ||||
\(399\) | 17.6046i | 0.881333i | ||||||||
\(400\) | 4.17745 | + | 10.8252i | 0.208873 | + | 0.541262i | ||||
\(401\) | 4.71619i | 0.235515i | 0.993042 | + | 0.117758i | \(0.0375706\pi\) | ||||
−0.993042 | + | 0.117758i | \(0.962429\pi\) | |||||||
\(402\) | 5.83905 | − | 9.99527i | 0.291225 | − | 0.498519i | ||||
\(403\) | − | 13.0113i | − | 0.648137i | ||||||
\(404\) | −16.8680 | + | 24.5897i | −0.839213 | + | 1.22338i | ||||
\(405\) | − | 1.44885i | − | 0.0719940i | ||||||
\(406\) | −5.40478 | − | 1.67560i | −0.268235 | − | 0.0831587i | ||||
\(407\) | 26.4556 | 1.31136 | ||||||||
\(408\) | −3.79586 | − | 4.80188i | −0.187923 | − | 0.237728i | ||||
\(409\) | − | 12.2642i | − | 0.606424i | −0.952923 | − | 0.303212i | \(-0.901941\pi\) | ||
0.952923 | − | 0.303212i | \(-0.0980590\pi\) | |||||||
\(410\) | 1.08781 | + | 0.337245i | 0.0537231 | + | 0.0166554i | ||||
\(411\) | − | 9.32069i | − | 0.459756i | ||||||
\(412\) | −10.5411 | + | 15.3665i | −0.519321 | + | 0.757053i | ||||
\(413\) | − | 21.5276i | − | 1.05930i | ||||||
\(414\) | 2.20931 | − | 7.12631i | 0.108582 | − | 0.350239i | ||||
\(415\) | −11.7904 | −0.578767 | ||||||||
\(416\) | −16.6513 | + | 1.12844i | −0.816395 | + | 0.0553262i | ||||
\(417\) | −6.89205 | −0.337505 | ||||||||
\(418\) | 10.8269 | − | 34.9230i | 0.529561 | − | 1.70814i | ||||
\(419\) | 22.1411i | 1.08166i | 0.841131 | + | 0.540832i | \(0.181890\pi\) | ||||
−0.841131 | + | 0.540832i | \(0.818110\pi\) | |||||||
\(420\) | −4.42310 | + | 6.44788i | −0.215825 | + | 0.314624i | ||||
\(421\) | 10.7107 | 0.522009 | 0.261004 | − | 0.965338i | \(-0.415946\pi\) | ||||
0.261004 | + | 0.965338i | \(0.415946\pi\) | |||||||
\(422\) | 6.82049 | − | 22.0000i | 0.332016 | − | 1.07094i | ||||
\(423\) | − | 10.0095i | − | 0.486678i | ||||||
\(424\) | 7.42393 | − | 5.86858i | 0.360538 | − | 0.285003i | ||||
\(425\) | −6.27768 | −0.304512 | ||||||||
\(426\) | 5.62571 | − | 18.1462i | 0.272567 | − | 0.879184i | ||||
\(427\) | − | 2.27665i | − | 0.110175i | ||||||
\(428\) | −9.20135 | + | 13.4135i | −0.444764 | + | 0.648366i | ||||
\(429\) | − | 11.6915i | − | 0.564470i | ||||||
\(430\) | 6.38380 | − | 20.5914i | 0.307854 | − | 0.993007i | ||||
\(431\) | − | 32.2037i | − | 1.55120i | −0.631226 | − | 0.775599i | \(-0.717448\pi\) | ||
0.631226 | − | 0.775599i | \(-0.282552\pi\) | |||||||
\(432\) | −1.44009 | − | 3.73177i | −0.0692863 | − | 0.179545i | ||||
\(433\) | 24.6358i | 1.18392i | 0.805968 | + | 0.591960i | \(0.201646\pi\) | ||||
−0.805968 | + | 0.591960i | \(0.798354\pi\) | |||||||
\(434\) | −16.0748 | − | 4.98354i | −0.771614 | − | 0.239218i | ||||
\(435\) | 2.14837i | 0.103006i | ||||||||
\(436\) | 4.39595 | − | 6.40830i | 0.210528 | − | 0.306902i | ||||
\(437\) | 34.4190 | 1.64648 | ||||||||
\(438\) | −11.4326 | − | 3.54437i | −0.546272 | − | 0.169357i | ||||
\(439\) | 23.9175i | 1.14152i | 0.821116 | + | 0.570761i | \(0.193352\pi\) | ||||
−0.821116 | + | 0.570761i | \(0.806648\pi\) | |||||||
\(440\) | 12.7398 | − | 10.0707i | 0.607344 | − | 0.480102i | ||||
\(441\) | 0.281330 | 0.0133967 | ||||||||
\(442\) | 2.67377 | − | 8.62444i | 0.127178 | − | 0.410223i | ||||
\(443\) | 33.2386 | 1.57921 | 0.789606 | − | 0.613614i | \(-0.210285\pi\) | ||||
0.789606 | + | 0.613614i | \(0.210285\pi\) | |||||||
\(444\) | 11.0104 | + | 7.55287i | 0.522530 | + | 0.358443i | ||||
\(445\) | − | 5.08025i | − | 0.240827i | ||||||
\(446\) | −4.51049 | + | 14.5489i | −0.213578 | + | 0.688911i | ||||
\(447\) | 8.35907 | 0.395370 | ||||||||
\(448\) | −4.98359 | + | 21.0040i | −0.235453 | + | 0.992347i | ||||
\(449\) | 7.52893 | 0.355312 | 0.177656 | − | 0.984093i | \(-0.443149\pi\) | ||||
0.177656 | + | 0.984093i | \(0.443149\pi\) | |||||||
\(450\) | −3.91841 | − | 1.21479i | −0.184715 | − | 0.0572660i | ||||
\(451\) | 2.20265i | 0.103719i | ||||||||
\(452\) | 11.9092 | − | 17.3609i | 0.560161 | − | 0.816589i | ||||
\(453\) | − | 19.1949i | − | 0.901853i | ||||||
\(454\) | 9.87530 | − | 31.8535i | 0.463471 | − | 1.49496i | ||||
\(455\) | −11.5344 | −0.540742 | ||||||||
\(456\) | 14.4762 | − | 11.4434i | 0.677911 | − | 0.535885i | ||||
\(457\) | 11.0810 | 0.518345 | 0.259173 | − | 0.965831i | \(-0.416550\pi\) | ||||
0.259173 | + | 0.965831i | \(0.416550\pi\) | |||||||
\(458\) | 0.0269323 | − | 0.0868721i | 0.00125846 | − | 0.00405927i | ||||
\(459\) | 2.16410 | 0.101011 | ||||||||
\(460\) | 12.6063 | + | 8.64766i | 0.587774 | + | 0.403199i | ||||
\(461\) | −8.38194 | −0.390386 | −0.195193 | − | 0.980765i | \(-0.562533\pi\) | ||||
−0.195193 | + | 0.980765i | \(0.562533\pi\) | |||||||
\(462\) | −14.4443 | − | 4.47805i | −0.672008 | − | 0.208338i | ||||
\(463\) | 2.55096 | 0.118553 | 0.0592766 | − | 0.998242i | \(-0.481121\pi\) | ||||
0.0592766 | + | 0.998242i | \(0.481121\pi\) | |||||||
\(464\) | 2.13538 | + | 5.53351i | 0.0991323 | + | 0.256887i | ||||
\(465\) | 6.38963i | 0.296312i | ||||||||
\(466\) | −1.99958 | + | 6.44978i | −0.0926286 | + | 0.298780i | ||||
\(467\) | 12.9673i | 0.600053i | 0.953931 | + | 0.300026i | \(0.0969955\pi\) | ||||
−0.953931 | + | 0.300026i | \(0.903004\pi\) | |||||||
\(468\) | 3.33783 | − | 4.86581i | 0.154291 | − | 0.224922i | ||||
\(469\) | 4.99412 | − | 21.5153i | 0.230607 | − | 0.993484i | ||||
\(470\) | 19.5895 | + | 6.07318i | 0.903595 | + | 0.280135i | ||||
\(471\) | 10.3625 | 0.477477 | ||||||||
\(472\) | −17.7021 | + | 13.9934i | −0.814805 | + | 0.644099i | ||||
\(473\) | 41.6945 | 1.91711 | ||||||||
\(474\) | −16.9340 | − | 5.24991i | −0.777802 | − | 0.241136i | ||||
\(475\) | − | 18.9253i | − | 0.868354i | ||||||
\(476\) | −9.63097 | − | 6.60662i | −0.441435 | − | 0.302814i | ||||
\(477\) | 3.34580i | 0.153194i | ||||||||
\(478\) | −17.8605 | − | 5.53716i | −0.816920 | − | 0.253264i | ||||
\(479\) | 4.68023i | 0.213845i | 0.994267 | + | 0.106922i | \(0.0340997\pi\) | ||||
−0.994267 | + | 0.106922i | \(0.965900\pi\) | |||||||
\(480\) | 8.17718 | − | 0.554159i | 0.373236 | − | 0.0252938i | ||||
\(481\) | 19.6962i | 0.898067i | ||||||||
\(482\) | −36.4640 | − | 11.3047i | −1.66089 | − | 0.514914i | ||||
\(483\) | − | 14.2358i | − | 0.647753i | ||||||
\(484\) | 7.75785 | + | 5.32170i | 0.352629 | + | 0.241896i | ||||
\(485\) | −12.3885 | −0.562535 | ||||||||
\(486\) | 1.35079 | + | 0.418775i | 0.0612730 | + | 0.0189960i | ||||
\(487\) | 8.34042 | 0.377940 | 0.188970 | − | 0.981983i | \(-0.439485\pi\) | ||||
0.188970 | + | 0.981983i | \(0.439485\pi\) | |||||||
\(488\) | −1.87208 | + | 1.47987i | −0.0847451 | + | 0.0669906i | ||||
\(489\) | 2.48121i | 0.112204i | ||||||||
\(490\) | −0.170695 | + | 0.550589i | −0.00771121 | + | 0.0248731i | ||||
\(491\) | 13.4563i | 0.607276i | 0.952787 | + | 0.303638i | \(0.0982014\pi\) | ||||
−0.952787 | + | 0.303638i | \(0.901799\pi\) | |||||||
\(492\) | −0.628839 | + | 0.916705i | −0.0283502 | + | 0.0413283i | ||||
\(493\) | −3.20894 | −0.144523 | ||||||||
\(494\) | 26.0001 | + | 8.06062i | 1.16980 | + | 0.362664i | ||||
\(495\) | 5.74152i | 0.258062i | ||||||||
\(496\) | 6.35099 | + | 16.4576i | 0.285168 | + | 0.738970i | ||||
\(497\) | − | 36.2496i | − | 1.62602i | ||||||
\(498\) | 3.40788 | − | 10.9924i | 0.152711 | − | 0.492580i | ||||
\(499\) | −26.3904 | −1.18140 | −0.590698 | − | 0.806893i | \(-0.701147\pi\) | ||||
−0.590698 | + | 0.806893i | \(0.701147\pi\) | |||||||
\(500\) | 12.9507 | − | 18.8792i | 0.579174 | − | 0.844305i | ||||
\(501\) | 12.4615i | 0.556739i | ||||||||
\(502\) | 16.1593 | + | 5.00976i | 0.721227 | + | 0.223596i | ||||
\(503\) | −3.05618 | −0.136268 | −0.0681342 | − | 0.997676i | \(-0.521705\pi\) | ||||
−0.0681342 | + | 0.997676i | \(0.521705\pi\) | |||||||
\(504\) | −4.73302 | − | 5.98742i | −0.210825 | − | 0.266701i | ||||
\(505\) | 21.6018 | 0.961266 | ||||||||
\(506\) | −8.75509 | + | 28.2402i | −0.389211 | + | 1.25543i | ||||
\(507\) | −4.29570 | −0.190779 | ||||||||
\(508\) | 1.55181 | − | 2.26219i | 0.0688503 | − | 0.100368i | ||||
\(509\) | −37.5647 | −1.66502 | −0.832512 | − | 0.554007i | \(-0.813098\pi\) | ||||
−0.832512 | + | 0.554007i | \(0.813098\pi\) | |||||||
\(510\) | −1.31305 | + | 4.23533i | −0.0581428 | + | 0.187544i | ||||
\(511\) | −22.8383 | −1.01031 | ||||||||
\(512\) | 20.5110 | − | 9.55507i | 0.906466 | − | 0.422278i | ||||
\(513\) | 6.52411i | 0.288046i | ||||||||
\(514\) | −1.97879 | − | 0.613471i | −0.0872809 | − | 0.0270590i | ||||
\(515\) | 13.4993 | 0.594850 | ||||||||
\(516\) | 17.3526 | + | 11.9035i | 0.763904 | + | 0.524020i | ||||
\(517\) | 39.6657i | 1.74450i | ||||||||
\(518\) | 24.3336 | + | 7.54398i | 1.06916 | + | 0.331463i | ||||
\(519\) | −11.2618 | −0.494340 | ||||||||
\(520\) | 7.49762 | + | 9.48473i | 0.328792 | + | 0.415933i | ||||
\(521\) | − | 8.26338i | − | 0.362025i | −0.983481 | − | 0.181013i | \(-0.942062\pi\) | ||
0.983481 | − | 0.181013i | \(-0.0579375\pi\) | |||||||
\(522\) | −2.00296 | − | 0.620963i | −0.0876672 | − | 0.0271788i | ||||
\(523\) | 10.0503i | 0.439468i | 0.975560 | + | 0.219734i | \(0.0705190\pi\) | ||||
−0.975560 | + | 0.219734i | \(0.929481\pi\) | |||||||
\(524\) | 13.6323 | − | 19.8728i | 0.595530 | − | 0.868148i | ||||
\(525\) | −7.82758 | −0.341624 | ||||||||
\(526\) | 0.0137269 | − | 0.0442771i | 0.000598521 | − | 0.00193057i | ||||
\(527\) | −9.54397 | −0.415742 | ||||||||
\(528\) | 5.70679 | + | 14.7883i | 0.248356 | + | 0.643578i | ||||
\(529\) | −4.83265 | −0.210115 | ||||||||
\(530\) | −6.54803 | − | 2.03004i | −0.284428 | − | 0.0881792i | ||||
\(531\) | − | 7.97794i | − | 0.346213i | ||||||
\(532\) | 19.9170 | − | 29.0345i | 0.863511 | − | 1.25881i | ||||
\(533\) | −1.63987 | −0.0710305 | ||||||||
\(534\) | 4.73640 | + | 1.46839i | 0.204964 | + | 0.0635434i | ||||
\(535\) | 11.7836 | 0.509449 | ||||||||
\(536\) | −20.9383 | + | 9.87875i | −0.904395 | + | 0.426697i | ||||
\(537\) | −24.6622 | −1.06425 | ||||||||
\(538\) | −18.7552 | − | 5.81454i | −0.808595 | − | 0.250683i | ||||
\(539\) | −1.11486 | −0.0480203 | ||||||||
\(540\) | −1.63916 | + | 2.38953i | −0.0705382 | + | 0.102829i | ||||
\(541\) | − | 45.6660i | − | 1.96333i | −0.190603 | − | 0.981667i | \(-0.561044\pi\) | ||
0.190603 | − | 0.981667i | \(-0.438956\pi\) | |||||||
\(542\) | −2.28512 | − | 0.708439i | −0.0981543 | − | 0.0304300i | ||||
\(543\) | −23.7830 | −1.02063 | ||||||||
\(544\) | 0.827728 | + | 12.2140i | 0.0354885 | + | 0.523670i | ||||
\(545\) | −5.62962 | −0.241146 | ||||||||
\(546\) | 3.33390 | − | 10.7537i | 0.142678 | − | 0.460217i | ||||
\(547\) | 40.9128 | 1.74930 | 0.874652 | − | 0.484751i | \(-0.161090\pi\) | ||||
0.874652 | + | 0.484751i | \(0.161090\pi\) | |||||||
\(548\) | −10.5450 | + | 15.3722i | −0.450459 | + | 0.656668i | ||||
\(549\) | − | 0.843705i | − | 0.0360084i | ||||||
\(550\) | 15.5279 | + | 4.81400i | 0.662112 | + | 0.205269i | ||||
\(551\) | − | 9.67400i | − | 0.412126i | ||||||
\(552\) | −11.7061 | + | 9.25359i | −0.498244 | + | 0.393859i | ||||
\(553\) | −33.8280 | −1.43851 | ||||||||
\(554\) | 1.13676 | + | 0.352421i | 0.0482963 | + | 0.0149729i | ||||
\(555\) | − | 9.67249i | − | 0.410574i | ||||||
\(556\) | 11.3668 | + | 7.79733i | 0.482058 | + | 0.330680i | ||||
\(557\) | 36.4189 | 1.54312 | 0.771559 | − | 0.636158i | \(-0.219478\pi\) | ||||
0.771559 | + | 0.636158i | \(0.219478\pi\) | |||||||
\(558\) | −5.95716 | − | 1.84685i | −0.252187 | − | 0.0781836i | ||||
\(559\) | 31.0415i | 1.31291i | ||||||||
\(560\) | 14.5896 | − | 5.63013i | 0.616525 | − | 0.237916i | ||||
\(561\) | −8.57590 | −0.362075 | ||||||||
\(562\) | 10.6708 | − | 34.4193i | 0.450119 | − | 1.45189i | ||||
\(563\) | −1.44035 | −0.0607034 | −0.0303517 | − | 0.999539i | \(-0.509663\pi\) | ||||
−0.0303517 | + | 0.999539i | \(0.509663\pi\) | |||||||
\(564\) | −11.3243 | + | 16.5082i | −0.476837 | + | 0.695121i | ||||
\(565\) | −15.2514 | −0.641630 | ||||||||
\(566\) | 0.813532 | − | 2.62411i | 0.0341953 | − | 0.110299i | ||||
\(567\) | 2.69839 | 0.113322 | ||||||||
\(568\) | −29.8079 | + | 23.5630i | −1.25071 | + | 0.988681i | ||||
\(569\) | 18.7895 | 0.787696 | 0.393848 | − | 0.919176i | \(-0.371144\pi\) | ||||
0.393848 | + | 0.919176i | \(0.371144\pi\) | |||||||
\(570\) | −12.7683 | − | 3.95845i | −0.534804 | − | 0.165801i | ||||
\(571\) | − | 24.5716i | − | 1.02829i | −0.857704 | − | 0.514144i | \(-0.828110\pi\) | ||
0.857704 | − | 0.514144i | \(-0.171890\pi\) | |||||||
\(572\) | −13.2272 | + | 19.2823i | −0.553056 | + | 0.806232i | ||||
\(573\) | −11.8983 | −0.497060 | ||||||||
\(574\) | −0.628098 | + | 2.02598i | −0.0262163 | + | 0.0845626i | ||||
\(575\) | 15.3038i | 0.638213i | ||||||||
\(576\) | −1.84687 | + | 7.78390i | −0.0769531 | + | 0.324329i | ||||
\(577\) | 45.3105i | 1.88630i | 0.332364 | + | 0.943151i | \(0.392154\pi\) | ||||
−0.332364 | + | 0.943151i | \(0.607846\pi\) | |||||||
\(578\) | 16.6372 | + | 5.15791i | 0.692017 | + | 0.214541i | ||||
\(579\) | 19.2001 | 0.797928 | ||||||||
\(580\) | 2.43056 | − | 3.54321i | 0.100924 | − | 0.147124i | ||||
\(581\) | − | 21.9589i | − | 0.911007i | ||||||
\(582\) | 3.58077 | − | 11.5500i | 0.148428 | − | 0.478765i | ||||
\(583\) | − | 13.2588i | − | 0.549122i | ||||||
\(584\) | 14.8454 | + | 18.7799i | 0.614307 | + | 0.777118i | ||||
\(585\) | −4.27455 | −0.176731 | ||||||||
\(586\) | 31.0764 | + | 9.63438i | 1.28375 | + | 0.397993i | ||||
\(587\) | −15.4815 | −0.638989 | −0.319494 | − | 0.947588i | \(-0.603513\pi\) | ||||
−0.319494 | + | 0.947588i | \(0.603513\pi\) | |||||||
\(588\) | −0.463986 | − | 0.318283i | −0.0191344 | − | 0.0131258i | ||||
\(589\) | − | 28.7722i | − | 1.18554i | ||||||
\(590\) | 15.6135 | + | 4.84055i | 0.642799 | + | 0.199282i | ||||
\(591\) | 8.66502i | 0.356431i | ||||||||
\(592\) | −9.61399 | − | 24.9132i | −0.395133 | − | 1.02393i | ||||
\(593\) | − | 11.4597i | − | 0.470595i | −0.971923 | − | 0.235298i | \(-0.924394\pi\) | ||
0.971923 | − | 0.235298i | \(-0.0756065\pi\) | |||||||
\(594\) | −5.35291 | − | 1.65952i | −0.219633 | − | 0.0680911i | ||||
\(595\) | 8.46069i | 0.346855i | ||||||||
\(596\) | −13.7862 | − | 9.45704i | −0.564706 | − | 0.387376i | ||||
\(597\) | 3.96638i | 0.162333i | ||||||||
\(598\) | −21.0248 | − | 6.51815i | −0.859767 | − | 0.266547i | ||||
\(599\) | −13.2447 | −0.541163 | −0.270581 | − | 0.962697i | \(-0.587216\pi\) | ||||
−0.270581 | + | 0.962697i | \(0.587216\pi\) | |||||||
\(600\) | 5.08810 | + | 6.43660i | 0.207721 | + | 0.262773i | ||||
\(601\) | 15.7272 | 0.641526 | 0.320763 | − | 0.947159i | \(-0.396061\pi\) | ||||
0.320763 | + | 0.947159i | \(0.396061\pi\) | |||||||
\(602\) | 38.3502 | + | 11.8894i | 1.56304 | + | 0.484577i | ||||
\(603\) | 1.85078 | − | 7.97337i | 0.0753694 | − | 0.324701i | ||||
\(604\) | −21.7161 | + | 31.6572i | −0.883617 | + | 1.28811i | ||||
\(605\) | − | 6.81517i | − | 0.277076i | ||||||
\(606\) | −6.24375 | + | 20.1397i | −0.253635 | + | 0.818119i | ||||
\(607\) | − | 11.7838i | − | 0.478289i | −0.970984 | − | 0.239144i | \(-0.923133\pi\) | ||
0.970984 | − | 0.239144i | \(-0.0768669\pi\) | |||||||
\(608\) | −36.8215 | + | 2.49535i | −1.49331 | + | 0.101200i | ||||
\(609\) | −4.00120 | −0.162137 | ||||||||
\(610\) | 1.65121 | + | 0.511911i | 0.0668554 | + | 0.0207267i | ||||
\(611\) | −29.5311 | −1.19470 | ||||||||
\(612\) | −3.56915 | − | 2.44835i | −0.144274 | − | 0.0989688i | ||||
\(613\) | 15.6126 | 0.630588 | 0.315294 | − | 0.948994i | \(-0.397897\pi\) | ||||
0.315294 | + | 0.948994i | \(0.397897\pi\) | |||||||
\(614\) | 11.7661 | − | 37.9524i | 0.474841 | − | 1.53163i | ||||
\(615\) | 0.805314 | 0.0324734 | ||||||||
\(616\) | 18.7560 | + | 23.7270i | 0.755703 | + | 0.955988i | ||||
\(617\) | 28.6395 | 1.15298 | 0.576491 | − | 0.817103i | \(-0.304421\pi\) | ||||
0.576491 | + | 0.817103i | \(0.304421\pi\) | |||||||
\(618\) | −3.90182 | + | 12.5856i | −0.156954 | + | 0.506268i | ||||
\(619\) | 7.35717i | 0.295710i | 0.989009 | + | 0.147855i | \(0.0472368\pi\) | ||||
−0.989009 | + | 0.147855i | \(0.952763\pi\) | |||||||
\(620\) | 7.22892 | − | 10.5381i | 0.290320 | − | 0.423222i | ||||
\(621\) | − | 5.27567i | − | 0.211705i | ||||||
\(622\) | −29.0566 | − | 9.00821i | −1.16506 | − | 0.361196i | ||||
\(623\) | 9.46164 | 0.379073 | ||||||||
\(624\) | −11.0099 | + | 4.24870i | −0.440748 | + | 0.170084i | ||||
\(625\) | −2.08102 | −0.0832410 | ||||||||
\(626\) | −14.7778 | + | 47.6670i | −0.590642 | + | 1.90516i | ||||
\(627\) | − | 25.8538i | − | 1.03250i | ||||||
\(628\) | −17.0903 | − | 11.7236i | −0.681979 | − | 0.467822i | ||||
\(629\) | 14.4475 | 0.576058 | ||||||||
\(630\) | −1.63723 | + | 5.28100i | −0.0652288 | + | 0.210400i | ||||
\(631\) | 3.20849 | 0.127728 | 0.0638640 | − | 0.997959i | \(-0.479658\pi\) | ||||
0.0638640 | + | 0.997959i | \(0.479658\pi\) | |||||||
\(632\) | 21.9889 | + | 27.8167i | 0.874673 | + | 1.10649i | ||||
\(633\) | − | 16.2868i | − | 0.647342i | ||||||
\(634\) | −23.6994 | − | 7.34735i | −0.941224 | − | 0.291800i | ||||
\(635\) | −1.98730 | −0.0788637 | ||||||||
\(636\) | 3.78527 | − | 5.51808i | 0.150096 | − | 0.218806i | ||||
\(637\) | − | 0.830010i | − | 0.0328862i | ||||||
\(638\) | 7.93735 | + | 2.46076i | 0.314243 | + | 0.0974222i | ||||
\(639\) | − | 13.4338i | − | 0.531431i | ||||||
\(640\) | −14.1132 | − | 8.33732i | −0.557874 | − | 0.329561i | ||||
\(641\) | 7.07704i | 0.279526i | 0.990185 | + | 0.139763i | \(0.0446341\pi\) | ||||
−0.990185 | + | 0.139763i | \(0.955366\pi\) | |||||||
\(642\) | −3.40592 | + | 10.9860i | −0.134421 | + | 0.433585i | ||||
\(643\) | − | 25.8835i | − | 1.02075i | −0.859953 | − | 0.510373i | \(-0.829507\pi\) | ||
0.859953 | − | 0.510373i | \(-0.170493\pi\) | |||||||
\(644\) | −16.1057 | + | 23.4785i | −0.634654 | + | 0.925183i | ||||
\(645\) | − | 15.2440i | − | 0.600232i | ||||||
\(646\) | 5.91260 | − | 19.0715i | 0.232628 | − | 0.750358i | ||||
\(647\) | 26.9464 | 1.05937 | 0.529686 | − | 0.848194i | \(-0.322310\pi\) | ||||
0.529686 | + | 0.848194i | \(0.322310\pi\) | |||||||
\(648\) | −1.75401 | − | 2.21888i | −0.0689042 | − | 0.0871659i | ||||
\(649\) | 31.6150i | 1.24100i | ||||||||
\(650\) | −3.58401 | + | 11.5605i | −0.140577 | + | 0.453440i | ||||
\(651\) | −11.9003 | −0.466409 | ||||||||
\(652\) | 2.80712 | − | 4.09215i | 0.109935 | − | 0.160261i | ||||
\(653\) | − | 17.6046i | − | 0.688923i | −0.938800 | − | 0.344461i | \(-0.888062\pi\) | ||
0.938800 | − | 0.344461i | \(-0.111938\pi\) | |||||||
\(654\) | 1.62718 | − | 5.24858i | 0.0636277 | − | 0.205236i | ||||
\(655\) | −17.4580 | −0.682142 | ||||||||
\(656\) | 2.07423 | − | 0.800444i | 0.0809851 | − | 0.0312521i | ||||
\(657\) | −8.46368 | −0.330200 | ||||||||
\(658\) | −11.3109 | + | 36.4842i | −0.440945 | + | 1.42230i | ||||
\(659\) | 14.9244i | 0.581373i | 0.956818 | + | 0.290686i | \(0.0938836\pi\) | ||||
−0.956818 | + | 0.290686i | \(0.906116\pi\) | |||||||
\(660\) | 6.49567 | − | 9.46923i | 0.252844 | − | 0.368589i | ||||
\(661\) | 43.8582i | 1.70589i | 0.522003 | + | 0.852944i | \(0.325185\pi\) | ||||
−0.522003 | + | 0.852944i | \(0.674815\pi\) | |||||||
\(662\) | −16.7266 | − | 5.18562i | −0.650098 | − | 0.201545i | ||||
\(663\) | − | 6.38475i | − | 0.247963i | ||||||
\(664\) | −18.0567 | + | 14.2737i | −0.700736 | + | 0.553928i | ||||
\(665\) | −25.5065 | −0.989098 | ||||||||
\(666\) | 9.01782 | + | 2.79573i | 0.349434 | + | 0.108332i | ||||
\(667\) | 7.82280i | 0.302900i | ||||||||
\(668\) | 14.0983 | − | 20.5522i | 0.545481 | − | 0.795189i | ||||
\(669\) | 10.7707i | 0.416419i | ||||||||
\(670\) | 14.4817 | + | 8.45991i | 0.559475 | + | 0.326835i | ||||
\(671\) | 3.34344i | 0.129072i | ||||||||
\(672\) | 1.03209 | + | 15.2295i | 0.0398136 | + | 0.587490i | ||||
\(673\) | 28.4231i | 1.09563i | 0.836600 | + | 0.547814i | \(0.184540\pi\) | ||||
−0.836600 | + | 0.547814i | \(0.815460\pi\) | |||||||
\(674\) | 2.38283 | − | 7.68600i | 0.0917833 | − | 0.296054i | ||||
\(675\) | −2.90083 | −0.111653 | ||||||||
\(676\) | 7.08471 | + | 4.85995i | 0.272489 | + | 0.186921i | ||||
\(677\) | 27.2748i | 1.04826i | 0.851639 | + | 0.524128i | \(0.175609\pi\) | ||||
−0.851639 | + | 0.524128i | \(0.824391\pi\) | |||||||
\(678\) | 4.40824 | − | 14.2191i | 0.169297 | − | 0.546081i | ||||
\(679\) | − | 23.0729i | − | 0.885456i | ||||||
\(680\) | 6.95720 | − | 5.49963i | 0.266797 | − | 0.210901i | ||||
\(681\) | − | 23.5814i | − | 0.903642i | ||||||
\(682\) | 23.6071 | + | 7.31873i | 0.903962 | + | 0.280249i | ||||
\(683\) | −34.6542 | −1.32601 | −0.663004 | − | 0.748616i | \(-0.730719\pi\) | ||||
−0.663004 | + | 0.748616i | \(0.730719\pi\) | |||||||
\(684\) | 7.38106 | − | 10.7599i | 0.282222 | − | 0.411416i | ||||
\(685\) | 13.5043 | 0.515972 | ||||||||
\(686\) | 24.4893 | + | 7.59222i | 0.935005 | + | 0.289872i | ||||
\(687\) | − | 0.0643122i | − | 0.00245366i | ||||||
\(688\) | −15.1518 | − | 39.2637i | −0.577658 | − | 1.49691i | ||||
\(689\) | 9.87113 | 0.376060 | ||||||||
\(690\) | 10.3250 | + | 3.20097i | 0.393064 | + | 0.121859i | ||||
\(691\) | − | 32.2346i | − | 1.22626i | −0.789982 | − | 0.613130i | \(-0.789910\pi\) | ||
0.789982 | − | 0.613130i | \(-0.210090\pi\) | |||||||
\(692\) | 18.5736 | + | 12.7411i | 0.706064 | + | 0.484343i | ||||
\(693\) | −10.6932 | −0.406202 | ||||||||
\(694\) | 43.5138 | + | 13.4903i | 1.65176 | + | 0.512083i | ||||
\(695\) | − | 9.98555i | − | 0.378774i | ||||||
\(696\) | 2.60087 | + | 3.29018i | 0.0985856 | + | 0.124714i | ||||
\(697\) | 1.20287i | 0.0455619i | ||||||||
\(698\) | −1.10158 | − | 0.341513i | −0.0416953 | − | 0.0129265i | ||||
\(699\) | 4.77483i | 0.180601i | ||||||||
\(700\) | 12.9097 | + | 8.85575i | 0.487940 | + | 0.334716i | ||||
\(701\) | − | 39.2528i | − | 1.48256i | −0.671197 | − | 0.741279i | \(-0.734219\pi\) | ||
0.671197 | − | 0.741279i | \(-0.265781\pi\) | |||||||
\(702\) | 1.23551 | − | 3.98524i | 0.0466314 | − | 0.150413i | ||||
\(703\) | 43.5548i | 1.64270i | ||||||||
\(704\) | 7.31881 | − | 30.8461i | 0.275838 | − | 1.16256i | ||||
\(705\) | 14.5023 | 0.546187 | ||||||||
\(706\) | 0.531746 | − | 1.71518i | 0.0200125 | − | 0.0645518i | ||||
\(707\) | 40.2319i | 1.51308i | ||||||||
\(708\) | −9.02585 | + | 13.1577i | −0.339212 | + | 0.494495i | ||||
\(709\) | −10.8919 | −0.409054 | −0.204527 | − | 0.978861i | \(-0.565566\pi\) | ||||
−0.204527 | + | 0.978861i | \(0.565566\pi\) | |||||||
\(710\) | 26.2911 | + | 8.15082i | 0.986686 | + | 0.305895i | ||||
\(711\) | −12.5364 | −0.470150 | ||||||||
\(712\) | −6.15027 | − | 7.78028i | −0.230491 | − | 0.291578i | ||||
\(713\) | 23.2664i | 0.871334i | ||||||||
\(714\) | −7.88804 | − | 2.44547i | −0.295203 | − | 0.0915194i | ||||
\(715\) | 16.9392 | 0.633491 | ||||||||
\(716\) | 40.6743 | + | 27.9017i | 1.52007 | + | 1.04273i | ||||
\(717\) | −13.2223 | −0.493795 | ||||||||
\(718\) | 5.74447 | − | 18.5292i | 0.214382 | − | 0.691504i | ||||
\(719\) | − | 5.20499i | − | 0.194113i | −0.995279 | − | 0.0970567i | \(-0.969057\pi\) | ||
0.995279 | − | 0.0970567i | \(-0.0309428\pi\) | |||||||
\(720\) | 5.40679 | − | 2.08647i | 0.201499 | − | 0.0777583i | ||||
\(721\) | 25.1416i | 0.936321i | ||||||||
\(722\) | 31.8299 | + | 9.86800i | 1.18459 | + | 0.367249i | ||||
\(723\) | −26.9947 | −1.00394 | ||||||||
\(724\) | 39.2242 | + | 26.9069i | 1.45776 | + | 0.999987i | ||||
\(725\) | 4.30138 | 0.159749 | ||||||||
\(726\) | 6.35390 | + | 1.96985i | 0.235815 | + | 0.0731080i | ||||
\(727\) | 24.1729 | 0.896523 | 0.448262 | − | 0.893902i | \(-0.352043\pi\) | ||||
0.448262 | + | 0.893902i | \(0.352043\pi\) | |||||||
\(728\) | −17.6647 | + | 13.9638i | −0.654698 | + | 0.517535i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 5.13527 | − | 16.5642i | 0.190065 | − | 0.613068i | ||||
\(731\) | 22.7694 | 0.842158 | ||||||||
\(732\) | −0.954527 | + | 1.39149i | −0.0352803 | + | 0.0514308i | ||||
\(733\) | − | 43.1100i | − | 1.59230i | −0.605098 | − | 0.796151i | \(-0.706866\pi\) | ||
0.605098 | − | 0.796151i | \(-0.293134\pi\) | |||||||
\(734\) | −43.5586 | − | 13.5041i | −1.60778 | − | 0.498447i | ||||
\(735\) | 0.407606i | 0.0150348i | ||||||||
\(736\) | 29.7754 | − | 2.01785i | 1.09754 | − | 0.0743788i | ||||
\(737\) | −7.33427 | + | 31.5969i | −0.270161 | + | 1.16389i | ||||
\(738\) | −0.232767 | + | 0.750808i | −0.00856828 | + | 0.0276376i | ||||
\(739\) | 33.6770 | 1.23883 | 0.619414 | − | 0.785065i | \(-0.287370\pi\) | ||||
0.619414 | + | 0.785065i | \(0.287370\pi\) | |||||||
\(740\) | −10.9430 | + | 15.9524i | −0.402272 | + | 0.586422i | ||||
\(741\) | 19.2481 | 0.707097 | ||||||||
\(742\) | 3.78082 | − | 12.1953i | 0.138798 | − | 0.447703i | ||||
\(743\) | 0.0899782i | 0.00330098i | 0.999999 | + | 0.00165049i | \(0.000525368\pi\) | ||||
−0.999999 | + | 0.00165049i | \(0.999475\pi\) | |||||||
\(744\) | 7.73544 | + | 9.78558i | 0.283595 | + | 0.358757i | ||||
\(745\) | 12.1110i | 0.443714i | ||||||||
\(746\) | −11.5117 | + | 37.1317i | −0.421472 | + | 1.35949i | ||||
\(747\) | − | 8.13775i | − | 0.297745i | ||||||
\(748\) | 14.1439 | + | 9.70236i | 0.517151 | + | 0.354753i | ||||
\(749\) | 21.9462i | 0.801897i | ||||||||
\(750\) | 4.79377 | − | 15.4626i | 0.175044 | − | 0.564616i | ||||
\(751\) | − | 46.3689i | − | 1.69202i | −0.533163 | − | 0.846012i | \(-0.678997\pi\) | ||
0.533163 | − | 0.846012i | \(-0.321003\pi\) | |||||||
\(752\) | 37.3532 | − | 14.4146i | 1.36213 | − | 0.525645i | ||||
\(753\) | 11.9629 | 0.435952 | ||||||||
\(754\) | −1.83203 | + | 5.90934i | −0.0667186 | + | 0.215206i | ||||
\(755\) | 27.8105 | 1.01213 | ||||||||
\(756\) | −4.45034 | − | 3.05283i | −0.161857 | − | 0.111030i | ||||
\(757\) | 2.66667i | 0.0969218i | 0.998825 | + | 0.0484609i | \(0.0154316\pi\) | ||||
−0.998825 | + | 0.0484609i | \(0.984568\pi\) | |||||||
\(758\) | −34.0334 | − | 10.5511i | −1.23615 | − | 0.383234i | ||||
\(759\) | 20.9065i | 0.758856i | ||||||||
\(760\) | 16.5797 | + | 20.9739i | 0.601410 | + | 0.760803i | ||||
\(761\) | −17.3962 | −0.630610 | −0.315305 | − | 0.948990i | \(-0.602107\pi\) | ||||
−0.315305 | + | 0.948990i | \(0.602107\pi\) | |||||||
\(762\) | 0.574408 | − | 1.85280i | 0.0208086 | − | 0.0671197i | ||||
\(763\) | − | 10.4848i | − | 0.379575i | ||||||
\(764\) | 19.6234 | + | 13.4612i | 0.709949 | + | 0.487009i | ||||
\(765\) | 3.13545i | 0.113363i | ||||||||
\(766\) | 26.8221 | + | 8.31545i | 0.969122 | + | 0.300450i | ||||
\(767\) | −23.5373 | −0.849884 | ||||||||
\(768\) | 11.8523 | − | 10.7482i | 0.427683 | − | 0.387841i | ||||
\(769\) | − | 29.7726i | − | 1.07363i | −0.843701 | − | 0.536814i | \(-0.819628\pi\) | ||
0.843701 | − | 0.536814i | \(-0.180372\pi\) | |||||||
\(770\) | 6.48802 | − | 20.9276i | 0.233812 | − | 0.754178i | ||||
\(771\) | −1.46492 | −0.0527578 | ||||||||
\(772\) | −31.6658 | − | 21.7220i | −1.13968 | − | 0.781793i | ||||
\(773\) | −0.713969 | −0.0256797 | −0.0128398 | − | 0.999918i | \(-0.504087\pi\) | ||||
−0.0128398 | + | 0.999918i | \(0.504087\pi\) | |||||||
\(774\) | 14.2122 | + | 4.40612i | 0.510849 | + | 0.158375i | ||||
\(775\) | 12.7931 | 0.459541 | ||||||||
\(776\) | −18.9728 | + | 14.9979i | −0.681083 | + | 0.538392i | ||||
\(777\) | 18.0144 | 0.646263 | ||||||||
\(778\) | −23.4420 | − | 7.26755i | −0.840437 | − | 0.260554i | ||||
\(779\) | −3.62629 | −0.129925 | ||||||||
\(780\) | 7.04983 | + | 4.83602i | 0.252424 | + | 0.173157i | ||||
\(781\) | 53.2354i | 1.90491i | ||||||||
\(782\) | −4.78117 | + | 15.4220i | −0.170974 | + | 0.551490i | ||||
\(783\) | −1.48281 | −0.0529913 | ||||||||
\(784\) | 0.405141 | + | 1.04986i | 0.0144693 | + | 0.0374950i | ||||
\(785\) | 15.0137i | 0.535861i | ||||||||
\(786\) | 5.04605 | − | 16.2764i | 0.179987 | − | 0.580560i | ||||
\(787\) | 6.76258 | 0.241060 | 0.120530 | − | 0.992710i | \(-0.461541\pi\) | ||||
0.120530 | + | 0.992710i | \(0.461541\pi\) | |||||||
\(788\) | 9.80319 | − | 14.2908i | 0.349224 | − | 0.509090i | ||||
\(789\) | − | 0.0327787i | − | 0.00116695i | ||||||
\(790\) | 7.60633 | − | 24.5348i | 0.270621 | − | 0.872908i | ||||
\(791\) | − | 28.4047i | − | 1.00995i | ||||||
\(792\) | 6.95082 | + | 8.79300i | 0.246987 | + | 0.312446i | ||||
\(793\) | −2.48919 | −0.0883936 | ||||||||
\(794\) | 21.4773 | + | 6.65844i | 0.762200 | + | 0.236299i | ||||
\(795\) | −4.84756 | −0.171925 | ||||||||
\(796\) | 4.48737 | − | 6.54157i | 0.159051 | − | 0.231860i | ||||
\(797\) | −32.7523 | −1.16015 | −0.580074 | − | 0.814564i | \(-0.696976\pi\) | ||||
−0.580074 | + | 0.814564i | \(0.696976\pi\) | |||||||
\(798\) | 7.37236 | − | 23.7801i | 0.260979 | − | 0.841806i | ||||
\(799\) | 21.6615i | 0.766329i | ||||||||
\(800\) | −1.10952 | − | 16.3720i | −0.0392273 | − | 0.578839i | ||||
\(801\) | 3.50640 | 0.123892 | ||||||||
\(802\) | 1.97502 | − | 6.37057i | 0.0697404 | − | 0.224953i | ||||
\(803\) | 33.5399 | 1.18360 | ||||||||
\(804\) | −12.0731 | + | 11.0562i | −0.425785 | + | 0.389924i | ||||
\(805\) | 20.6256 | 0.726957 | ||||||||
\(806\) | −5.44878 | + | 17.5754i | −0.191925 | + | 0.619069i | ||||
\(807\) | −13.8847 | −0.488763 | ||||||||
\(808\) | 33.0826 | − | 26.1516i | 1.16384 | − | 0.920010i | ||||
\(809\) | 55.7199i | 1.95901i | 0.201428 | + | 0.979503i | \(0.435442\pi\) | ||||
−0.201428 | + | 0.979503i | \(0.564558\pi\) | |||||||
\(810\) | −0.606742 | + | 1.95709i | −0.0213187 | + | 0.0687651i | ||||
\(811\) | 42.0272 | 1.47578 | 0.737888 | − | 0.674923i | \(-0.235823\pi\) | ||||
0.737888 | + | 0.674923i | \(0.235823\pi\) | |||||||
\(812\) | 6.59901 | + | 4.52677i | 0.231580 | + | 0.158858i | ||||
\(813\) | −1.69169 | −0.0593303 | ||||||||
\(814\) | −35.7359 | − | 11.0789i | −1.25254 | − | 0.388316i | ||||
\(815\) | −3.59490 | −0.125924 | ||||||||
\(816\) | 3.11649 | + | 8.07592i | 0.109099 | + | 0.282714i | ||||
\(817\) | 68.6431i | 2.40152i | ||||||||
\(818\) | −5.13592 | + | 16.5663i | −0.179573 | + | 0.579226i | ||||
\(819\) | − | 7.96108i | − | 0.278183i | ||||||
\(820\) | −1.32817 | − | 0.911093i | −0.0463817 | − | 0.0318168i | ||||
\(821\) | −29.2823 | −1.02196 | −0.510979 | − | 0.859593i | \(-0.670717\pi\) | ||||
−0.510979 | + | 0.859593i | \(0.670717\pi\) | |||||||
\(822\) | −3.90327 | + | 12.5903i | −0.136142 | + | 0.439136i | ||||
\(823\) | − | 2.20991i | − | 0.0770328i | −0.999258 | − | 0.0385164i | \(-0.987737\pi\) | ||
0.999258 | − | 0.0385164i | \(-0.0122632\pi\) | |||||||
\(824\) | 20.6738 | − | 16.3426i | 0.720208 | − | 0.569320i | ||||
\(825\) | 11.4954 | 0.400220 | ||||||||
\(826\) | −9.01522 | + | 29.0792i | −0.313680 | + | 1.01180i | ||||
\(827\) | − | 27.6877i | − | 0.962794i | −0.876503 | − | 0.481397i | \(-0.840130\pi\) | ||
0.876503 | − | 0.481397i | \(-0.159870\pi\) | |||||||
\(828\) | −5.96863 | + | 8.70092i | −0.207424 | + | 0.302378i | ||||
\(829\) | 32.3072 | 1.12208 | 0.561038 | − | 0.827790i | \(-0.310402\pi\) | ||||
0.561038 | + | 0.827790i | \(0.310402\pi\) | |||||||
\(830\) | 15.9263 | + | 4.93751i | 0.552810 | + | 0.171384i | ||||
\(831\) | 0.841553 | 0.0291931 | ||||||||
\(832\) | 22.9649 | + | 5.44884i | 0.796164 | + | 0.188905i | ||||
\(833\) | −0.608826 | −0.0210946 | ||||||||
\(834\) | 9.30970 | + | 2.88621i | 0.322368 | + | 0.0999414i | ||||
\(835\) | −18.0549 | −0.624814 | ||||||||
\(836\) | −29.2497 | + | 42.6395i | −1.01162 | + | 1.47472i | ||||
\(837\) | −4.41014 | −0.152437 | ||||||||
\(838\) | 9.27213 | − | 29.9079i | 0.320300 | − | 1.03315i | ||||
\(839\) | − | 48.7324i | − | 1.68243i | −0.540700 | − | 0.841215i | \(-0.681841\pi\) | ||
0.540700 | − | 0.841215i | \(-0.318159\pi\) | |||||||
\(840\) | 8.67488 | − | 6.85744i | 0.299312 | − | 0.236604i | ||||
\(841\) | −26.8013 | −0.924182 | ||||||||
\(842\) | −14.4679 | − | 4.48538i | −0.498598 | − | 0.154576i | ||||
\(843\) | − | 25.4809i | − | 0.877609i | ||||||
\(844\) | −18.4261 | + | 26.8611i | −0.634252 | + | 0.924597i | ||||
\(845\) | − | 6.22383i | − | 0.214106i | ||||||
\(846\) | −4.19172 | + | 13.5207i | −0.144114 | + | 0.464851i | ||||
\(847\) | 12.6928 | 0.436131 | ||||||||
\(848\) | −12.4858 | + | 4.81825i | −0.428763 | + | 0.165459i | ||||
\(849\) | − | 1.94265i | − | 0.0666715i | ||||||
\(850\) | 8.47981 | + | 2.62893i | 0.290855 | + | 0.0901717i | ||||
\(851\) | − | 35.2202i | − | 1.20733i | ||||||
\(852\) | −15.1983 | + | 22.1557i | −0.520685 | + | 0.759042i | ||||
\(853\) | −13.2588 | −0.453972 | −0.226986 | − | 0.973898i | \(-0.572887\pi\) | ||||
−0.226986 | + | 0.973898i | \(0.572887\pi\) | |||||||
\(854\) | −0.953402 | + | 3.07527i | −0.0326248 | + | 0.105234i | ||||
\(855\) | −9.45246 | −0.323267 | ||||||||
\(856\) | 18.0463 | − | 14.2655i | 0.616810 | − | 0.487585i | ||||
\(857\) | 30.1113i | 1.02858i | 0.857615 | + | 0.514292i | \(0.171945\pi\) | ||||
−0.857615 | + | 0.514292i | \(0.828055\pi\) | |||||||
\(858\) | −4.89610 | + | 15.7927i | −0.167150 | + | 0.539155i | ||||
\(859\) | − | 16.9557i | − | 0.578520i | −0.957251 | − | 0.289260i | \(-0.906591\pi\) | ||
0.957251 | − | 0.289260i | \(-0.0934092\pi\) | |||||||
\(860\) | −17.2463 | + | 25.1413i | −0.588095 | + | 0.857310i | ||||
\(861\) | 1.49985i | 0.0511147i | ||||||||
\(862\) | −13.4861 | + | 43.5004i | −0.459338 | + | 1.48163i | ||||
\(863\) | 8.44174i | 0.287360i | 0.989624 | + | 0.143680i | \(0.0458936\pi\) | ||||
−0.989624 | + | 0.143680i | \(0.954106\pi\) | |||||||
\(864\) | 0.382482 | + | 5.64391i | 0.0130123 | + | 0.192010i | ||||
\(865\) | − | 16.3167i | − | 0.554785i | ||||||
\(866\) | 10.3168 | − | 33.2777i | 0.350580 | − | 1.13082i | ||||
\(867\) | 12.3167 | 0.418296 | ||||||||
\(868\) | 19.6266 | + | 13.4634i | 0.666171 | + | 0.456978i | ||||
\(869\) | 49.6792 | 1.68525 | ||||||||
\(870\) | 0.899682 | − | 2.90199i | 0.0305021 | − | 0.0983867i | ||||
\(871\) | −23.5239 | − | 5.46035i | −0.797076 | − | 0.185017i | ||||
\(872\) | −8.62163 | + | 6.81535i | −0.291965 | + | 0.230797i | ||||
\(873\) | − | 8.55060i | − | 0.289394i | ||||||
\(874\) | −46.4928 | − | 14.4138i | −1.57264 | − | 0.487554i | ||||
\(875\) | − | 30.8889i | − | 1.04423i | ||||||
\(876\) | 13.9588 | + | 9.57539i | 0.471623 | + | 0.323523i | ||||
\(877\) | 11.1355 | 0.376019 | 0.188009 | − | 0.982167i | \(-0.439796\pi\) | ||||
0.188009 | + | 0.982167i | \(0.439796\pi\) | |||||||
\(878\) | 10.0161 | − | 32.3075i | 0.338025 | − | 1.09033i | ||||
\(879\) | 23.0061 | 0.775977 | ||||||||
\(880\) | −21.4261 | + | 8.26830i | −0.722272 | + | 0.278724i | ||||
\(881\) | −23.6744 | −0.797612 | −0.398806 | − | 0.917035i | \(-0.630575\pi\) | ||||
−0.398806 | + | 0.917035i | \(0.630575\pi\) | |||||||
\(882\) | −0.380018 | − | 0.117814i | −0.0127959 | − | 0.00396700i | ||||
\(883\) | −30.0216 | −1.01031 | −0.505154 | − | 0.863029i | \(-0.668564\pi\) | ||||
−0.505154 | + | 0.863029i | \(0.668564\pi\) | |||||||
\(884\) | −7.22339 | + | 10.5301i | −0.242949 | + | 0.354165i | ||||
\(885\) | 11.5588 | 0.388546 | ||||||||
\(886\) | −44.8982 | − | 13.9195i | −1.50839 | − | 0.467634i | ||||
\(887\) | − | 42.8508i | − | 1.43879i | −0.694602 | − | 0.719395i | \(-0.744419\pi\) | ||
0.694602 | − | 0.719395i | \(-0.255581\pi\) | |||||||
\(888\) | −11.7097 | − | 14.8132i | −0.392953 | − | 0.497098i | ||||
\(889\) | − | 3.70123i | − | 0.124135i | ||||||
\(890\) | −2.12748 | + | 6.86234i | −0.0713132 | + | 0.230026i | ||||
\(891\) | −3.96281 | −0.132759 | ||||||||
\(892\) | 12.1854 | − | 17.7636i | 0.407998 | − | 0.594770i | ||||
\(893\) | −65.3030 | −2.18528 | ||||||||
\(894\) | −11.2913 | − | 3.50057i | −0.377638 | − | 0.117076i | ||||
\(895\) | − | 35.7319i | − | 1.19439i | ||||||
\(896\) | 15.5277 | − | 26.2850i | 0.518745 | − | 0.878119i | ||||
\(897\) | −15.5648 | −0.519694 | ||||||||
\(898\) | −10.1700 | − | 3.15293i | −0.339377 | − | 0.105214i | ||||
\(899\) | 6.53939 | 0.218101 | ||||||||
\(900\) | 4.78421 | + | 3.28186i | 0.159474 | + | 0.109395i | ||||
\(901\) | − | 7.24064i | − | 0.241221i | ||||||
\(902\) | 0.922412 | − | 2.97531i | 0.0307130 | − | 0.0990669i | ||||
\(903\) | 28.3910 | 0.944794 | ||||||||
\(904\) | −23.3571 | + | 18.4637i | −0.776846 | + | 0.614092i | ||||
\(905\) | − | 34.4580i | − | 1.14542i | ||||||
\(906\) | −8.03832 | + | 25.9282i | −0.267055 | + | 0.861406i | ||||
\(907\) | − | 46.1216i | − | 1.53144i | −0.643173 | − | 0.765721i | \(-0.722382\pi\) | ||
0.643173 | − | 0.765721i | \(-0.277618\pi\) | |||||||
\(908\) | −26.6789 | + | 38.8918i | −0.885370 | + | 1.29067i | ||||
\(909\) | 14.9096i | 0.494520i | ||||||||
\(910\) | 15.5806 | + | 4.83032i | 0.516491 | + | 0.160124i | ||||
\(911\) | − | 21.1620i | − | 0.701128i | −0.936539 | − | 0.350564i | \(-0.885990\pi\) | ||
0.936539 | − | 0.350564i | \(-0.114010\pi\) | |||||||
\(912\) | −24.3465 | + | 9.39529i | −0.806193 | + | 0.311109i | ||||
\(913\) | 32.2483i | 1.06726i | ||||||||
\(914\) | −14.9680 | − | 4.64042i | −0.495098 | − | 0.153492i | ||||
\(915\) | 1.22240 | 0.0404114 | ||||||||
\(916\) | −0.0727597 | + | 0.106067i | −0.00240405 | + | 0.00350456i | ||||
\(917\) | − | 32.5145i | − | 1.07372i | ||||||
\(918\) | −2.92324 | − | 0.906269i | −0.0964812 | − | 0.0299113i | ||||
\(919\) | −13.8987 | −0.458475 | −0.229237 | − | 0.973371i | \(-0.573623\pi\) | ||||
−0.229237 | + | 0.973371i | \(0.573623\pi\) | |||||||
\(920\) | −13.4071 | − | 16.9604i | −0.442018 | − | 0.559167i | ||||
\(921\) | − | 28.0965i | − | 0.925810i | ||||||
\(922\) | 11.3222 | + | 3.51014i | 0.372878 | + | 0.115600i | ||||
\(923\) | −39.6337 | −1.30456 | ||||||||
\(924\) | 17.6358 | + | 12.0978i | 0.580177 | + | 0.397988i | ||||
\(925\) | −19.3659 | −0.636746 | ||||||||
\(926\) | −3.44580 | − | 1.06828i | −0.113236 | − | 0.0351058i | ||||
\(927\) | 9.31724i | 0.306018i | ||||||||
\(928\) | −0.567147 | − | 8.36884i | −0.0186175 | − | 0.274721i | ||||
\(929\) | − | 0.371925i | − | 0.0122025i | −0.999981 | − | 0.00610123i | \(-0.998058\pi\) | ||
0.999981 | − | 0.00610123i | \(-0.00194210\pi\) | |||||||
\(930\) | 2.67582 | − | 8.63104i | 0.0877435 | − | 0.283023i | ||||
\(931\) | − | 1.83543i | − | 0.0601538i | ||||||
\(932\) | 5.40201 | − | 7.87491i | 0.176949 | − | 0.257951i | ||||
\(933\) | −21.5109 | −0.704234 | ||||||||
\(934\) | 5.43036 | − | 17.5160i | 0.177687 | − | 0.573141i | ||||
\(935\) | − | 12.4252i | − | 0.406348i | ||||||
\(936\) | −6.54638 | + | 5.17487i | −0.213975 | + | 0.169146i | ||||
\(937\) | − | 13.2247i | − | 0.432031i | −0.976390 | − | 0.216016i | \(-0.930694\pi\) | ||
0.976390 | − | 0.216016i | \(-0.0693062\pi\) | |||||||
\(938\) | −15.7561 | + | 26.9712i | −0.514453 | + | 0.880641i | ||||
\(939\) | 35.2883i | 1.15159i | ||||||||
\(940\) | −23.9179 | − | 16.4072i | −0.780117 | − | 0.535142i | ||||
\(941\) | − | 53.5930i | − | 1.74708i | −0.486751 | − | 0.873541i | \(-0.661818\pi\) | ||
0.486751 | − | 0.873541i | \(-0.338182\pi\) | |||||||
\(942\) | −13.9975 | − | 4.33953i | −0.456063 | − | 0.141390i | ||||
\(943\) | 2.93237 | 0.0954912 | ||||||||
\(944\) | 29.7719 | − | 11.4889i | 0.968992 | − | 0.373933i | ||||
\(945\) | 3.90957i | 0.127178i | ||||||||
\(946\) | −56.3204 | − | 17.4606i | −1.83113 | − | 0.567693i | ||||
\(947\) | 40.5293i | 1.31703i | 0.752569 | + | 0.658513i | \(0.228814\pi\) | ||||
−0.752569 | + | 0.658513i | \(0.771186\pi\) | |||||||
\(948\) | 20.6756 | + | 14.1830i | 0.671514 | + | 0.460643i | ||||
\(949\) | 24.9704i | 0.810574i | ||||||||
\(950\) | −7.92545 | + | 25.5641i | −0.257136 | + | 0.829409i | ||||
\(951\) | −17.5449 | −0.568932 | ||||||||
\(952\) | 10.2427 | + | 12.9574i | 0.331968 | + | 0.419950i | ||||
\(953\) | −24.0154 | −0.777934 | −0.388967 | − | 0.921252i | \(-0.627168\pi\) | ||||
−0.388967 | + | 0.921252i | \(0.627168\pi\) | |||||||
\(954\) | 1.40114 | − | 4.51947i | 0.0453634 | − | 0.146323i | ||||
\(955\) | − | 17.2389i | − | 0.557838i | ||||||
\(956\) | 21.8069 | + | 14.9590i | 0.705286 | + | 0.483810i | ||||
\(957\) | 5.87609 | 0.189947 | ||||||||
\(958\) | 1.95996 | − | 6.32199i | 0.0633234 | − | 0.204254i | ||||
\(959\) | 25.1509i | 0.812165i | ||||||||
\(960\) | −11.2777 | − | 2.67584i | −0.363986 | − | 0.0863625i | ||||
\(961\) | −11.5507 | −0.372602 | ||||||||
\(962\) | 8.24825 | − | 26.6053i | 0.265934 | − | 0.857790i | ||||
\(963\) | 8.13306i | 0.262084i | ||||||||
\(964\) | 44.5211 | + | 30.5404i | 1.43393 | + | 0.983641i | ||||
\(965\) | 27.8181i | 0.895495i | ||||||||
\(966\) | −5.96160 | + | 19.2296i | −0.191811 | + | 0.618702i | ||||
\(967\) | 57.2676i | 1.84160i | 0.390032 | + | 0.920801i | \(0.372464\pi\) | ||||
−0.390032 | + | 0.920801i | \(0.627536\pi\) | |||||||
\(968\) | −8.25061 | − | 10.4373i | −0.265185 | − | 0.335467i | ||||
\(969\) | − | 14.1188i | − | 0.453561i | ||||||
\(970\) | 16.7343 | + | 5.18801i | 0.537306 | + | 0.166577i | ||||
\(971\) | 10.9938i | 0.352809i | 0.984318 | + | 0.176405i | \(0.0564467\pi\) | ||||
−0.984318 | + | 0.176405i | \(0.943553\pi\) | |||||||
\(972\) | −1.64926 | − | 1.13135i | −0.0528999 | − | 0.0362881i | ||||
\(973\) | 18.5975 | 0.596207 | ||||||||
\(974\) | −11.2661 | − | 3.49276i | −0.360990 | − | 0.111915i | ||||
\(975\) | 8.55834i | 0.274086i | ||||||||
\(976\) | 3.14852 | − | 1.21501i | 0.100782 | − | 0.0388915i | ||||
\(977\) | −23.9018 | −0.764688 | −0.382344 | − | 0.924020i | \(-0.624883\pi\) | ||||
−0.382344 | + | 0.924020i | \(0.624883\pi\) | |||||||
\(978\) | 1.03907 | − | 3.35159i | 0.0332257 | − | 0.107172i | ||||
\(979\) | −13.8952 | −0.444092 | ||||||||
\(980\) | 0.461145 | − | 0.672246i | 0.0147307 | − | 0.0214741i | ||||
\(981\) | − | 3.88557i | − | 0.124057i | ||||||
\(982\) | 5.63517 | − | 18.1767i | 0.179826 | − | 0.580041i | ||||
\(983\) | −9.87634 | −0.315006 | −0.157503 | − | 0.987518i | \(-0.550344\pi\) | ||||
−0.157503 | + | 0.987518i | \(0.550344\pi\) | |||||||
\(984\) | 1.23332 | − | 0.974933i | 0.0393168 | − | 0.0310797i | ||||
\(985\) | −12.5543 | −0.400014 | ||||||||
\(986\) | 4.33460 | + | 1.34382i | 0.138042 | + | 0.0427961i | ||||
\(987\) | 27.0096i | 0.859724i | ||||||||
\(988\) | −31.7450 | − | 21.7764i | −1.00994 | − | 0.692799i | ||||
\(989\) | − | 55.5077i | − | 1.76504i | ||||||
\(990\) | 2.40440 | − | 7.75557i | 0.0764169 | − | 0.246488i | ||||
\(991\) | 54.2663 | 1.72383 | 0.861913 | − | 0.507056i | \(-0.169266\pi\) | ||||
0.861913 | + | 0.507056i | \(0.169266\pi\) | |||||||
\(992\) | −1.68680 | − | 24.8904i | −0.0535559 | − | 0.790272i | ||||
\(993\) | −12.3828 | −0.392958 | ||||||||
\(994\) | −15.1804 | + | 48.9655i | −0.481493 | + | 1.55309i | ||||
\(995\) | −5.74669 | −0.182182 | ||||||||
\(996\) | −9.20665 | + | 13.4212i | −0.291724 | + | 0.425268i | ||||
\(997\) | −10.5448 | −0.333958 | −0.166979 | − | 0.985960i | \(-0.553401\pi\) | ||||
−0.166979 | + | 0.985960i | \(0.553401\pi\) | |||||||
\(998\) | 35.6478 | + | 11.0516i | 1.12841 | + | 0.349833i | ||||
\(999\) | 6.67597 | 0.211218 |
(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 | 804.2.e.a.535.3 | ✓ | 34 | |
4.3 | odd | 2 | 804.2.e.b.535.31 | yes | 34 | ||
67.66 | odd | 2 | 804.2.e.b.535.32 | yes | 34 | ||
268.267 | even | 2 | inner | 804.2.e.a.535.4 | yes | 34 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.e.a.535.3 | ✓ | 34 | 1.1 | even | 1 | trivial | |
804.2.e.a.535.4 | yes | 34 | 268.267 | even | 2 | inner | |
804.2.e.b.535.31 | yes | 34 | 4.3 | odd | 2 | ||
804.2.e.b.535.32 | yes | 34 | 67.66 | odd | 2 |