Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [70,2,Mod(3,70)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(70, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("70.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 70 = 2 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 70.k (of order \(12\), degree \(4\), 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: | \(0.558952814149\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 10x^{14} + 61x^{12} + 266x^{10} + 852x^{8} + 1438x^{6} + 1933x^{4} + 3038x^{2} + 2401 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 3.4 | ||
Root | \(-1.45333 + 1.51725i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 70.3 |
Dual form | 70.2.k.a.47.4 |
$q$-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 \(\left(\mathbb{Z}/70\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(57\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.965926 | + | 0.258819i | 0.683013 | + | 0.183013i | ||||
\(3\) | 0.304013 | + | 1.13459i | 0.175522 | + | 0.655056i | 0.996462 | + | 0.0840425i | \(0.0267831\pi\) |
−0.820940 | + | 0.571014i | \(0.806550\pi\) | |||||||
\(4\) | 0.866025 | + | 0.500000i | 0.433013 | + | 0.250000i | ||||
\(5\) | −1.79038 | − | 1.33961i | −0.800681 | − | 0.599091i | ||||
\(6\) | 1.17462i | 0.479535i | ||||||||
\(7\) | −2.55176 | − | 0.698943i | −0.964475 | − | 0.264175i | ||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | 1.40320 | − | 0.810140i | 0.467734 | − | 0.270047i | ||||
\(10\) | −1.38266 | − | 1.75735i | −0.437234 | − | 0.555722i | ||||
\(11\) | −0.371536 | + | 0.643519i | −0.112022 | + | 0.194028i | −0.916586 | − | 0.399839i | \(-0.869066\pi\) |
0.804563 | + | 0.593867i | \(0.202399\pi\) | |||||||
\(12\) | −0.304013 | + | 1.13459i | −0.0877609 | + | 0.327528i | ||||
\(13\) | 2.05532 | − | 2.05532i | 0.570044 | − | 0.570044i | −0.362097 | − | 0.932141i | \(-0.617939\pi\) |
0.932141 | + | 0.362097i | \(0.117939\pi\) | |||||||
\(14\) | −2.28391 | − | 1.33557i | −0.610401 | − | 0.356946i | ||||
\(15\) | 0.975610 | − | 2.43860i | 0.251901 | − | 0.629645i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | −6.33660 | + | 1.69789i | −1.53685 | + | 0.411798i | −0.925247 | − | 0.379365i | \(-0.876143\pi\) |
−0.611605 | + | 0.791163i | \(0.709476\pi\) | |||||||
\(18\) | 1.56507 | − | 0.419359i | 0.368890 | − | 0.0988439i | ||||
\(19\) | 0.946027 | + | 1.63857i | 0.217033 | + | 0.375913i | 0.953900 | − | 0.300126i | \(-0.0970286\pi\) |
−0.736866 | + | 0.676039i | \(0.763695\pi\) | |||||||
\(20\) | −0.880708 | − | 2.05532i | −0.196932 | − | 0.459584i | ||||
\(21\) | 0.0172465 | − | 3.10769i | 0.00376349 | − | 0.678154i | ||||
\(22\) | −0.525431 | + | 0.525431i | −0.112022 | + | 0.112022i | ||||
\(23\) | −1.36952 | + | 5.11112i | −0.285565 | + | 1.06574i | 0.662861 | + | 0.748743i | \(0.269342\pi\) |
−0.948426 | + | 0.317000i | \(0.897325\pi\) | |||||||
\(24\) | −0.587308 | + | 1.01725i | −0.119884 | + | 0.207645i | ||||
\(25\) | 1.41090 | + | 4.79681i | 0.282180 | + | 0.959361i | ||||
\(26\) | 2.51725 | − | 1.45333i | 0.493673 | − | 0.285022i | ||||
\(27\) | 3.83750 | + | 3.83750i | 0.738528 | + | 0.738528i | ||||
\(28\) | −1.86042 | − | 1.88118i | −0.351586 | − | 0.355510i | ||||
\(29\) | − | 9.69135i | − | 1.79964i | −0.436263 | − | 0.899819i | \(-0.643698\pi\) | ||
0.436263 | − | 0.899819i | \(-0.356302\pi\) | |||||||
\(30\) | 1.57352 | − | 2.10300i | 0.287285 | − | 0.383954i | ||||
\(31\) | 2.96403 | + | 1.71129i | 0.532356 | + | 0.307356i | 0.741975 | − | 0.670427i | \(-0.233889\pi\) |
−0.209619 | + | 0.977783i | \(0.567222\pi\) | |||||||
\(32\) | 0.258819 | + | 0.965926i | 0.0457532 | + | 0.170753i | ||||
\(33\) | −0.843083 | − | 0.225903i | −0.146762 | − | 0.0393247i | ||||
\(34\) | −6.56014 | −1.12505 | ||||||||
\(35\) | 3.63230 | + | 4.66973i | 0.613971 | + | 0.789328i | ||||
\(36\) | 1.62028 | 0.270047 | ||||||||
\(37\) | 2.58012 | + | 0.691342i | 0.424170 | + | 0.113656i | 0.464588 | − | 0.885527i | \(-0.346202\pi\) |
−0.0404183 | + | 0.999183i | \(0.512869\pi\) | |||||||
\(38\) | 0.489700 | + | 1.82758i | 0.0794398 | + | 0.296473i | ||||
\(39\) | 2.95680 | + | 1.70711i | 0.473466 | + | 0.273356i | ||||
\(40\) | −0.318742 | − | 2.21323i | −0.0503975 | − | 0.349943i | ||||
\(41\) | 0.817699i | 0.127703i | 0.997959 | + | 0.0638515i | \(0.0203384\pi\) | ||||
−0.997959 | + | 0.0638515i | \(0.979662\pi\) | |||||||
\(42\) | 0.820989 | − | 2.99734i | 0.126681 | − | 0.462499i | ||||
\(43\) | 1.59589 | + | 1.59589i | 0.243371 | + | 0.243371i | 0.818243 | − | 0.574872i | \(-0.194948\pi\) |
−0.574872 | + | 0.818243i | \(0.694948\pi\) | |||||||
\(44\) | −0.643519 | + | 0.371536i | −0.0970142 | + | 0.0560111i | ||||
\(45\) | −3.59753 | − | 0.429287i | −0.536288 | − | 0.0639943i | ||||
\(46\) | −2.64571 | + | 4.58251i | −0.390089 | + | 0.675654i | ||||
\(47\) | 1.21894 | − | 4.54913i | 0.177800 | − | 0.663560i | −0.818257 | − | 0.574852i | \(-0.805060\pi\) |
0.996058 | − | 0.0887076i | \(-0.0282737\pi\) | |||||||
\(48\) | −0.830578 | + | 0.830578i | −0.119884 | + | 0.119884i | ||||
\(49\) | 6.02296 | + | 3.56707i | 0.860423 | + | 0.509581i | ||||
\(50\) | 0.121320 | + | 4.99853i | 0.0171573 | + | 0.706899i | ||||
\(51\) | −3.85282 | − | 6.67328i | −0.539502 | − | 0.934445i | ||||
\(52\) | 2.80762 | − | 0.752300i | 0.389347 | − | 0.104325i | ||||
\(53\) | −4.81583 | + | 1.29040i | −0.661505 | + | 0.177250i | −0.573925 | − | 0.818908i | \(-0.694580\pi\) |
−0.0875798 | + | 0.996158i | \(0.527913\pi\) | |||||||
\(54\) | 2.71352 | + | 4.69996i | 0.369264 | + | 0.639584i | ||||
\(55\) | 1.52725 | − | 0.654429i | 0.205935 | − | 0.0882432i | ||||
\(56\) | −1.31014 | − | 2.29859i | −0.175075 | − | 0.307163i | ||||
\(57\) | −1.57150 | + | 1.57150i | −0.208150 | + | 0.208150i | ||||
\(58\) | 2.50831 | − | 9.36112i | 0.329357 | − | 1.22918i | ||||
\(59\) | −1.27487 | + | 2.20815i | −0.165975 | + | 0.287476i | −0.937001 | − | 0.349327i | \(-0.886410\pi\) |
0.771026 | + | 0.636803i | \(0.219744\pi\) | |||||||
\(60\) | 2.06420 | − | 1.62409i | 0.266488 | − | 0.209669i | ||||
\(61\) | 5.25989 | − | 3.03680i | 0.673460 | − | 0.388822i | −0.123927 | − | 0.992291i | \(-0.539549\pi\) |
0.797386 | + | 0.603469i | \(0.206215\pi\) | |||||||
\(62\) | 2.42012 | + | 2.42012i | 0.307356 | + | 0.307356i | ||||
\(63\) | −4.14688 | + | 1.08652i | −0.522458 | + | 0.136889i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −6.43313 | + | 0.926476i | −0.797932 | + | 0.114915i | ||||
\(66\) | −0.755887 | − | 0.436412i | −0.0930433 | − | 0.0537186i | ||||
\(67\) | −3.54358 | − | 13.2248i | −0.432917 | − | 1.61567i | −0.746002 | − | 0.665944i | \(-0.768029\pi\) |
0.313084 | − | 0.949725i | \(-0.398638\pi\) | |||||||
\(68\) | −6.33660 | − | 1.69789i | −0.768426 | − | 0.205899i | ||||
\(69\) | −6.21538 | −0.748244 | ||||||||
\(70\) | 2.29992 | + | 5.45072i | 0.274893 | + | 0.651486i | ||||
\(71\) | −16.0173 | −1.90090 | −0.950450 | − | 0.310879i | \(-0.899377\pi\) | ||||
−0.950450 | + | 0.310879i | \(0.899377\pi\) | |||||||
\(72\) | 1.56507 | + | 0.419359i | 0.184445 | + | 0.0494220i | ||||
\(73\) | −2.29071 | − | 8.54906i | −0.268108 | − | 1.00059i | −0.960321 | − | 0.278898i | \(-0.910031\pi\) |
0.692213 | − | 0.721693i | \(-0.256636\pi\) | |||||||
\(74\) | 2.31328 | + | 1.33557i | 0.268913 | + | 0.155257i | ||||
\(75\) | −5.01348 | + | 3.05909i | −0.578907 | + | 0.353233i | ||||
\(76\) | 1.89205i | 0.217033i | ||||||||
\(77\) | 1.39785 | − | 1.38242i | 0.159300 | − | 0.157542i | ||||
\(78\) | 2.41421 | + | 2.41421i | 0.273356 | + | 0.273356i | ||||
\(79\) | −5.70091 | + | 3.29142i | −0.641402 | + | 0.370314i | −0.785155 | − | 0.619300i | \(-0.787417\pi\) |
0.143752 | + | 0.989614i | \(0.454083\pi\) | |||||||
\(80\) | 0.264946 | − | 2.22032i | 0.0296219 | − | 0.248239i | ||||
\(81\) | −0.756928 | + | 1.31104i | −0.0841031 | + | 0.145671i | ||||
\(82\) | −0.211636 | + | 0.789836i | −0.0233713 | + | 0.0872228i | ||||
\(83\) | 9.23519 | − | 9.23519i | 1.01369 | − | 1.01369i | 0.0137887 | − | 0.999905i | \(-0.495611\pi\) |
0.999905 | − | 0.0137887i | \(-0.00438921\pi\) | |||||||
\(84\) | 1.56878 | − | 2.68272i | 0.171168 | − | 0.292708i | ||||
\(85\) | 13.6194 | + | 5.44871i | 1.47723 | + | 0.590995i | ||||
\(86\) | 1.12846 | + | 1.95456i | 0.121685 | + | 0.210765i | ||||
\(87\) | 10.9957 | − | 2.94629i | 1.17886 | − | 0.315876i | ||||
\(88\) | −0.717752 | + | 0.192321i | −0.0765127 | + | 0.0205015i | ||||
\(89\) | 3.01603 | + | 5.22392i | 0.319699 | + | 0.553735i | 0.980425 | − | 0.196892i | \(-0.0630849\pi\) |
−0.660726 | + | 0.750627i | \(0.729752\pi\) | |||||||
\(90\) | −3.36384 | − | 1.34577i | −0.354580 | − | 0.141856i | ||||
\(91\) | −6.68124 | + | 3.80814i | −0.700385 | + | 0.399201i | ||||
\(92\) | −3.74160 | + | 3.74160i | −0.390089 | + | 0.390089i | ||||
\(93\) | −1.04051 | + | 3.88322i | −0.107895 | + | 0.402671i | ||||
\(94\) | 2.35481 | − | 4.07864i | 0.242880 | − | 0.420680i | ||||
\(95\) | 0.501292 | − | 4.20096i | 0.0514315 | − | 0.431009i | ||||
\(96\) | −1.01725 | + | 0.587308i | −0.103822 | + | 0.0599418i | ||||
\(97\) | 3.16693 | + | 3.16693i | 0.321553 | + | 0.321553i | 0.849363 | − | 0.527810i | \(-0.176987\pi\) |
−0.527810 | + | 0.849363i | \(0.676987\pi\) | |||||||
\(98\) | 4.89451 | + | 5.00438i | 0.494420 | + | 0.505519i | ||||
\(99\) | 1.20398i | 0.121005i | ||||||||
\(100\) | −1.17653 | + | 4.85961i | −0.117653 | + | 0.485961i | ||||
\(101\) | 9.68359 | + | 5.59083i | 0.963554 | + | 0.556308i | 0.897265 | − | 0.441493i | \(-0.145551\pi\) |
0.0662887 | + | 0.997800i | \(0.478884\pi\) | |||||||
\(102\) | −1.99437 | − | 7.44307i | −0.197472 | − | 0.736974i | ||||
\(103\) | 2.34351 | + | 0.627940i | 0.230912 | + | 0.0618728i | 0.372420 | − | 0.928064i | \(-0.378528\pi\) |
−0.141507 | + | 0.989937i | \(0.545195\pi\) | |||||||
\(104\) | 2.90667 | 0.285022 | ||||||||
\(105\) | −4.19397 | + | 5.54084i | −0.409289 | + | 0.540730i | ||||
\(106\) | −4.98571 | −0.484255 | ||||||||
\(107\) | 6.41422 | + | 1.71868i | 0.620086 | + | 0.166151i | 0.555167 | − | 0.831739i | \(-0.312654\pi\) |
0.0649189 | + | 0.997891i | \(0.479321\pi\) | |||||||
\(108\) | 1.40462 | + | 5.24213i | 0.135160 | + | 0.504424i | ||||
\(109\) | −7.76000 | − | 4.48024i | −0.743274 | − | 0.429129i | 0.0799848 | − | 0.996796i | \(-0.474513\pi\) |
−0.823258 | + | 0.567667i | \(0.807846\pi\) | |||||||
\(110\) | 1.64459 | − | 0.236848i | 0.156806 | − | 0.0225826i | ||||
\(111\) | 3.13756i | 0.297804i | ||||||||
\(112\) | −0.670578 | − | 2.55936i | −0.0633637 | − | 0.241837i | ||||
\(113\) | 0.307790 | + | 0.307790i | 0.0289545 | + | 0.0289545i | 0.721436 | − | 0.692481i | \(-0.243482\pi\) |
−0.692481 | + | 0.721436i | \(0.743482\pi\) | |||||||
\(114\) | −1.92469 | + | 1.11122i | −0.180263 | + | 0.104075i | ||||
\(115\) | 9.29886 | − | 7.31621i | 0.867123 | − | 0.682240i | ||||
\(116\) | 4.84567 | − | 8.39295i | 0.449910 | − | 0.779266i | ||||
\(117\) | 1.21894 | − | 4.54913i | 0.112691 | − | 0.420568i | ||||
\(118\) | −1.80295 | + | 1.80295i | −0.165975 | + | 0.165975i | ||||
\(119\) | 17.3562 | + | 0.0963204i | 1.59104 | + | 0.00882967i | ||||
\(120\) | 2.41421 | − | 1.03449i | 0.220387 | − | 0.0944359i | ||||
\(121\) | 5.22392 | + | 9.04810i | 0.474902 | + | 0.822554i | ||||
\(122\) | 5.86664 | − | 1.57196i | 0.531141 | − | 0.142319i | ||||
\(123\) | −0.927753 | + | 0.248591i | −0.0836527 | + | 0.0224147i | ||||
\(124\) | 1.71129 | + | 2.96403i | 0.153678 | + | 0.266178i | ||||
\(125\) | 3.89980 | − | 10.4781i | 0.348808 | − | 0.937194i | ||||
\(126\) | −4.28679 | − | 0.0237900i | −0.381898 | − | 0.00211939i | ||||
\(127\) | −11.1823 | + | 11.1823i | −0.992267 | + | 0.992267i | −0.999970 | − | 0.00770296i | \(-0.997548\pi\) |
0.00770296 | + | 0.999970i | \(0.497548\pi\) | |||||||
\(128\) | −0.258819 | + | 0.965926i | −0.0228766 | + | 0.0853766i | ||||
\(129\) | −1.32551 | + | 2.29585i | −0.116705 | + | 0.202139i | ||||
\(130\) | −6.45372 | − | 0.770110i | −0.566028 | − | 0.0675431i | ||||
\(131\) | −8.30763 | + | 4.79641i | −0.725841 | + | 0.419064i | −0.816899 | − | 0.576781i | \(-0.804308\pi\) |
0.0910579 | + | 0.995846i | \(0.470975\pi\) | |||||||
\(132\) | −0.617179 | − | 0.617179i | −0.0537186 | − | 0.0537186i | ||||
\(133\) | −1.26877 | − | 4.84245i | −0.110016 | − | 0.419893i | ||||
\(134\) | − | 13.6913i | − | 1.18275i | ||||||
\(135\) | −1.72983 | − | 12.0113i | −0.148880 | − | 1.03377i | ||||
\(136\) | −5.68124 | − | 3.28007i | −0.487163 | − | 0.281264i | ||||
\(137\) | 2.40949 | + | 8.99233i | 0.205856 | + | 0.768267i | 0.989187 | + | 0.146661i | \(0.0468526\pi\) |
−0.783330 | + | 0.621606i | \(0.786481\pi\) | |||||||
\(138\) | −6.00360 | − | 1.60866i | −0.511060 | − | 0.136938i | ||||
\(139\) | −22.1714 | −1.88056 | −0.940278 | − | 0.340408i | \(-0.889435\pi\) | ||||
−0.940278 | + | 0.340408i | \(0.889435\pi\) | |||||||
\(140\) | 0.810803 | + | 5.86026i | 0.0685253 | + | 0.495282i | ||||
\(141\) | 5.53198 | 0.465877 | ||||||||
\(142\) | −15.4715 | − | 4.14557i | −1.29834 | − | 0.347889i | ||||
\(143\) | 0.559013 | + | 2.08627i | 0.0467470 | + | 0.174462i | ||||
\(144\) | 1.40320 | + | 0.810140i | 0.116934 | + | 0.0675116i | ||||
\(145\) | −12.9826 | + | 17.3512i | −1.07815 | + | 1.44094i | ||||
\(146\) | − | 8.85064i | − | 0.732484i | ||||||
\(147\) | −2.21611 | + | 7.91803i | −0.182781 | + | 0.653068i | ||||
\(148\) | 1.88878 | + | 1.88878i | 0.155257 | + | 0.155257i | ||||
\(149\) | 3.41418 | − | 1.97118i | 0.279701 | − | 0.161485i | −0.353587 | − | 0.935402i | \(-0.615038\pi\) |
0.633288 | + | 0.773916i | \(0.281705\pi\) | |||||||
\(150\) | −5.63440 | + | 1.65727i | −0.460047 | + | 0.135315i | ||||
\(151\) | 9.97267 | − | 17.2732i | 0.811564 | − | 1.40567i | −0.100205 | − | 0.994967i | \(-0.531950\pi\) |
0.911769 | − | 0.410703i | \(-0.134717\pi\) | |||||||
\(152\) | −0.489700 | + | 1.82758i | −0.0397199 | + | 0.148237i | ||||
\(153\) | −7.51602 | + | 7.51602i | −0.607634 | + | 0.607634i | ||||
\(154\) | 1.70802 | − | 0.973528i | 0.137636 | − | 0.0784491i | ||||
\(155\) | −3.01429 | − | 7.03449i | −0.242113 | − | 0.565024i | ||||
\(156\) | 1.70711 | + | 2.95680i | 0.136678 | + | 0.236733i | ||||
\(157\) | −7.20903 | + | 1.93165i | −0.575343 | + | 0.154163i | −0.534746 | − | 0.845013i | \(-0.679593\pi\) |
−0.0405972 | + | 0.999176i | \(0.512926\pi\) | |||||||
\(158\) | −6.35854 | + | 1.70376i | −0.505858 | + | 0.135544i | ||||
\(159\) | −2.92815 | − | 5.07170i | −0.232217 | − | 0.402212i | ||||
\(160\) | 0.830578 | − | 2.07609i | 0.0656630 | − | 0.164129i | ||||
\(161\) | 7.06707 | − | 12.0851i | 0.556963 | − | 0.952442i | ||||
\(162\) | −1.07046 | + | 1.07046i | −0.0841031 | + | 0.0841031i | ||||
\(163\) | 3.14893 | − | 11.7520i | 0.246644 | − | 0.920486i | −0.725907 | − | 0.687793i | \(-0.758580\pi\) |
0.972550 | − | 0.232693i | \(-0.0747537\pi\) | |||||||
\(164\) | −0.408849 | + | 0.708148i | −0.0319258 | + | 0.0552970i | ||||
\(165\) | 1.20681 | + | 1.53385i | 0.0939503 | + | 0.119410i | ||||
\(166\) | 11.3107 | − | 6.53026i | 0.877884 | − | 0.506847i | ||||
\(167\) | 1.45564 | + | 1.45564i | 0.112641 | + | 0.112641i | 0.761181 | − | 0.648540i | \(-0.224620\pi\) |
−0.648540 | + | 0.761181i | \(0.724620\pi\) | |||||||
\(168\) | 2.20966 | − | 2.18527i | 0.170479 | − | 0.168598i | ||||
\(169\) | 4.55129i | 0.350099i | ||||||||
\(170\) | 11.7451 | + | 8.78801i | 0.900809 | + | 0.674010i | ||||
\(171\) | 2.65494 | + | 1.53283i | 0.203028 | + | 0.117218i | ||||
\(172\) | 0.584136 | + | 2.18003i | 0.0445400 | + | 0.166225i | ||||
\(173\) | 9.08750 | + | 2.43499i | 0.690910 | + | 0.185129i | 0.587155 | − | 0.809474i | \(-0.300248\pi\) |
0.103754 | + | 0.994603i | \(0.466914\pi\) | |||||||
\(174\) | 11.3836 | 0.862989 | ||||||||
\(175\) | −0.247587 | − | 13.2264i | −0.0187158 | − | 0.999825i | ||||
\(176\) | −0.743072 | −0.0560111 | ||||||||
\(177\) | −2.89292 | − | 0.775156i | −0.217445 | − | 0.0582643i | ||||
\(178\) | 1.56121 | + | 5.82653i | 0.117018 | + | 0.436717i | ||||
\(179\) | 3.89494 | + | 2.24874i | 0.291121 | + | 0.168079i | 0.638447 | − | 0.769665i | \(-0.279577\pi\) |
−0.347326 | + | 0.937744i | \(0.612910\pi\) | |||||||
\(180\) | −2.90091 | − | 2.17054i | −0.216221 | − | 0.161782i | ||||
\(181\) | 17.8850i | 1.32938i | 0.747118 | + | 0.664691i | \(0.231437\pi\) | ||||
−0.747118 | + | 0.664691i | \(0.768563\pi\) | |||||||
\(182\) | −7.43921 | + | 1.94915i | −0.551431 | + | 0.144480i | ||||
\(183\) | 5.04460 | + | 5.04460i | 0.372907 | + | 0.372907i | ||||
\(184\) | −4.58251 | + | 2.64571i | −0.337827 | + | 0.195044i | ||||
\(185\) | −3.69327 | − | 4.69412i | −0.271535 | − | 0.345119i | ||||
\(186\) | −2.01010 | + | 3.48160i | −0.147388 | + | 0.255283i | ||||
\(187\) | 1.26165 | − | 4.70855i | 0.0922612 | − | 0.344323i | ||||
\(188\) | 3.33020 | − | 3.33020i | 0.242880 | − | 0.242880i | ||||
\(189\) | −7.11019 | − | 12.4746i | −0.517190 | − | 0.907392i | ||||
\(190\) | 1.57150 | − | 3.92807i | 0.114009 | − | 0.284972i | ||||
\(191\) | 1.38774 | + | 2.40364i | 0.100413 | + | 0.173921i | 0.911855 | − | 0.410512i | \(-0.134650\pi\) |
−0.811442 | + | 0.584433i | \(0.801317\pi\) | |||||||
\(192\) | −1.13459 | + | 0.304013i | −0.0818821 | + | 0.0219402i | ||||
\(193\) | 4.96491 | − | 1.33034i | 0.357382 | − | 0.0957602i | −0.0756607 | − | 0.997134i | \(-0.524107\pi\) |
0.433043 | + | 0.901373i | \(0.357440\pi\) | |||||||
\(194\) | 2.23936 | + | 3.87868i | 0.160776 | + | 0.278473i | ||||
\(195\) | −3.00693 | − | 7.01731i | −0.215330 | − | 0.502520i | ||||
\(196\) | 3.43250 | + | 6.10065i | 0.245179 | + | 0.435761i | ||||
\(197\) | 1.34043 | − | 1.34043i | 0.0955019 | − | 0.0955019i | −0.657742 | − | 0.753244i | \(-0.728488\pi\) |
0.753244 | + | 0.657742i | \(0.228488\pi\) | |||||||
\(198\) | −0.311614 | + | 1.16296i | −0.0221454 | + | 0.0826479i | ||||
\(199\) | −7.25148 | + | 12.5599i | −0.514043 | + | 0.890349i | 0.485824 | + | 0.874057i | \(0.338520\pi\) |
−0.999867 | + | 0.0162926i | \(0.994814\pi\) | |||||||
\(200\) | −2.39420 | + | 4.38951i | −0.169295 | + | 0.310385i | ||||
\(201\) | 13.9275 | − | 8.04103i | 0.982368 | − | 0.567171i | ||||
\(202\) | 7.90662 | + | 7.90662i | 0.556308 | + | 0.556308i | ||||
\(203\) | −6.77370 | + | 24.7300i | −0.475420 | + | 1.73571i | ||||
\(204\) | − | 7.70563i | − | 0.539502i | ||||||
\(205\) | 1.09540 | − | 1.46399i | 0.0765057 | − | 0.102249i | ||||
\(206\) | 2.10113 | + | 1.21309i | 0.146393 | + | 0.0845198i | ||||
\(207\) | 2.21901 | + | 8.28144i | 0.154232 | + | 0.575600i | ||||
\(208\) | 2.80762 | + | 0.752300i | 0.194674 | + | 0.0521627i | ||||
\(209\) | −1.40593 | −0.0972504 | ||||||||
\(210\) | −5.48513 | + | 4.26656i | −0.378510 | + | 0.294421i | ||||
\(211\) | 10.0324 | 0.690660 | 0.345330 | − | 0.938481i | \(-0.387767\pi\) | ||||
0.345330 | + | 0.938481i | \(0.387767\pi\) | |||||||
\(212\) | −4.81583 | − | 1.29040i | −0.330752 | − | 0.0886249i | ||||
\(213\) | −4.86945 | − | 18.1730i | −0.333649 | − | 1.24520i | ||||
\(214\) | 5.75083 | + | 3.32024i | 0.393119 | + | 0.226967i | ||||
\(215\) | −0.719378 | − | 4.99511i | −0.0490611 | − | 0.340664i | ||||
\(216\) | 5.42705i | 0.369264i | ||||||||
\(217\) | −6.36741 | − | 6.43848i | −0.432248 | − | 0.437073i | ||||
\(218\) | −6.33602 | − | 6.33602i | −0.429129 | − | 0.429129i | ||||
\(219\) | 9.00328 | − | 5.19804i | 0.608385 | − | 0.351251i | ||||
\(220\) | 1.64985 | + | 0.196874i | 0.111233 | + | 0.0132732i | ||||
\(221\) | −9.53406 | + | 16.5135i | −0.641330 | + | 1.11082i | ||||
\(222\) | −0.812061 | + | 3.03065i | −0.0545020 | + | 0.203404i | ||||
\(223\) | −3.13756 | + | 3.13756i | −0.210107 | + | 0.210107i | −0.804313 | − | 0.594206i | \(-0.797466\pi\) |
0.594206 | + | 0.804313i | \(0.297466\pi\) | |||||||
\(224\) | 0.0146827 | − | 2.64571i | 0.000981028 | − | 0.176774i | ||||
\(225\) | 5.86586 | + | 5.58787i | 0.391058 | + | 0.372525i | ||||
\(226\) | 0.217641 | + | 0.376965i | 0.0144772 | + | 0.0250753i | ||||
\(227\) | 0.648012 | − | 0.173634i | 0.0430101 | − | 0.0115245i | −0.237250 | − | 0.971449i | \(-0.576246\pi\) |
0.280260 | + | 0.959924i | \(0.409579\pi\) | |||||||
\(228\) | −2.14671 | + | 0.575209i | −0.142169 | + | 0.0380941i | ||||
\(229\) | −6.60166 | − | 11.4344i | −0.436250 | − | 0.755608i | 0.561146 | − | 0.827717i | \(-0.310360\pi\) |
−0.997397 | + | 0.0721088i | \(0.977027\pi\) | |||||||
\(230\) | 10.8756 | − | 4.66020i | 0.717115 | − | 0.307284i | ||||
\(231\) | 1.99345 | + | 1.16572i | 0.131159 | + | 0.0766986i | ||||
\(232\) | 6.85282 | − | 6.85282i | 0.449910 | − | 0.449910i | ||||
\(233\) | −2.24110 | + | 8.36389i | −0.146819 | + | 0.547937i | 0.852849 | + | 0.522158i | \(0.174873\pi\) |
−0.999668 | + | 0.0257782i | \(0.991794\pi\) | |||||||
\(234\) | 2.35481 | − | 4.07864i | 0.153938 | − | 0.266629i | ||||
\(235\) | −8.27641 | + | 6.51177i | −0.539894 | + | 0.424781i | ||||
\(236\) | −2.20815 | + | 1.27487i | −0.143738 | + | 0.0829873i | ||||
\(237\) | −5.46757 | − | 5.46757i | −0.355157 | − | 0.355157i | ||||
\(238\) | 16.7399 | + | 4.58516i | 1.08509 | + | 0.297212i | ||||
\(239\) | − | 4.00294i | − | 0.258929i | −0.991584 | − | 0.129464i | \(-0.958674\pi\) | ||
0.991584 | − | 0.129464i | \(-0.0413258\pi\) | |||||||
\(240\) | 2.59970 | − | 0.374399i | 0.167810 | − | 0.0241674i | ||||
\(241\) | −15.0040 | − | 8.66256i | −0.966493 | − | 0.558005i | −0.0683274 | − | 0.997663i | \(-0.521766\pi\) |
−0.898165 | + | 0.439658i | \(0.855100\pi\) | |||||||
\(242\) | 2.70410 | + | 10.0918i | 0.173826 | + | 0.648728i | ||||
\(243\) | 14.0088 | + | 3.75364i | 0.898663 | + | 0.240796i | ||||
\(244\) | 6.07359 | 0.388822 | ||||||||
\(245\) | −6.00489 | − | 14.4548i | −0.383639 | − | 0.923483i | ||||
\(246\) | −0.960481 | −0.0612380 | ||||||||
\(247\) | 5.31218 | + | 1.42339i | 0.338006 | + | 0.0905683i | ||||
\(248\) | 0.885827 | + | 3.30595i | 0.0562501 | + | 0.209928i | ||||
\(249\) | 13.2858 | + | 7.67055i | 0.841952 | + | 0.486101i | ||||
\(250\) | 6.47886 | − | 9.11177i | 0.409759 | − | 0.576279i | ||||
\(251\) | − | 5.49938i | − | 0.347118i | −0.984824 | − | 0.173559i | \(-0.944473\pi\) | ||
0.984824 | − | 0.173559i | \(-0.0555267\pi\) | |||||||
\(252\) | −4.13456 | − | 1.13248i | −0.260453 | − | 0.0713397i | ||||
\(253\) | −2.78028 | − | 2.78028i | −0.174795 | − | 0.174795i | ||||
\(254\) | −13.6954 | + | 7.90707i | −0.859329 | + | 0.496134i | ||||
\(255\) | −2.04158 | + | 17.1089i | −0.127849 | + | 1.07140i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 4.27307 | − | 15.9473i | 0.266547 | − | 0.994766i | −0.694750 | − | 0.719251i | \(-0.744485\pi\) |
0.961297 | − | 0.275515i | \(-0.0888483\pi\) | |||||||
\(258\) | −1.87456 | + | 1.87456i | −0.116705 | + | 0.116705i | ||||
\(259\) | −6.10065 | − | 3.56750i | −0.379076 | − | 0.221674i | ||||
\(260\) | −6.03449 | − | 2.41421i | −0.374243 | − | 0.149723i | ||||
\(261\) | −7.85135 | − | 13.5989i | −0.485986 | − | 0.841753i | ||||
\(262\) | −9.26595 | + | 2.48280i | −0.572453 | + | 0.153388i | ||||
\(263\) | 9.52484 | − | 2.55217i | 0.587327 | − | 0.157374i | 0.0470956 | − | 0.998890i | \(-0.485003\pi\) |
0.540231 | + | 0.841517i | \(0.318337\pi\) | |||||||
\(264\) | −0.436412 | − | 0.755887i | −0.0268593 | − | 0.0465216i | ||||
\(265\) | 10.3508 | + | 4.14102i | 0.635843 | + | 0.254381i | ||||
\(266\) | 0.0277804 | − | 5.00583i | 0.00170333 | − | 0.306927i | ||||
\(267\) | −5.01010 | + | 5.01010i | −0.306613 | + | 0.306613i | ||||
\(268\) | 3.54358 | − | 13.2248i | 0.216459 | − | 0.807835i | ||||
\(269\) | −4.47922 | + | 7.75824i | −0.273103 | + | 0.473028i | −0.969655 | − | 0.244478i | \(-0.921383\pi\) |
0.696552 | + | 0.717506i | \(0.254717\pi\) | |||||||
\(270\) | 1.43788 | − | 12.0498i | 0.0875063 | − | 0.733325i | ||||
\(271\) | −19.7889 | + | 11.4251i | −1.20209 | + | 0.694027i | −0.961020 | − | 0.276480i | \(-0.910832\pi\) |
−0.241071 | + | 0.970507i | \(0.577499\pi\) | |||||||
\(272\) | −4.63872 | − | 4.63872i | −0.281264 | − | 0.281264i | ||||
\(273\) | −6.35186 | − | 6.42276i | −0.384432 | − | 0.388723i | ||||
\(274\) | 9.30954i | 0.562410i | ||||||||
\(275\) | −3.61104 | − | 0.874245i | −0.217754 | − | 0.0527189i | ||||
\(276\) | −5.38268 | − | 3.10769i | −0.323999 | − | 0.187061i | ||||
\(277\) | 5.57320 | + | 20.7995i | 0.334861 | + | 1.24972i | 0.904019 | + | 0.427491i | \(0.140603\pi\) |
−0.569158 | + | 0.822228i | \(0.692731\pi\) | |||||||
\(278\) | −21.4160 | − | 5.73839i | −1.28444 | − | 0.344166i | ||||
\(279\) | 5.54552 | 0.332002 | ||||||||
\(280\) | −0.733571 | + | 5.87042i | −0.0438392 | + | 0.350825i | ||||
\(281\) | −5.64885 | −0.336982 | −0.168491 | − | 0.985703i | \(-0.553889\pi\) | ||||
−0.168491 | + | 0.985703i | \(0.553889\pi\) | |||||||
\(282\) | 5.34348 | + | 1.43178i | 0.318200 | + | 0.0852614i | ||||
\(283\) | −0.757948 | − | 2.82870i | −0.0450553 | − | 0.168149i | 0.939732 | − | 0.341911i | \(-0.111074\pi\) |
−0.984788 | + | 0.173762i | \(0.944408\pi\) | |||||||
\(284\) | −13.8714 | − | 8.00863i | −0.823113 | − | 0.475225i | ||||
\(285\) | 4.91877 | − | 0.708383i | 0.291363 | − | 0.0419610i | ||||
\(286\) | 2.15986i | 0.127715i | ||||||||
\(287\) | 0.571524 | − | 2.08657i | 0.0337360 | − | 0.123166i | ||||
\(288\) | 1.14571 | + | 1.14571i | 0.0675116 | + | 0.0675116i | ||||
\(289\) | 22.5473 | − | 13.0177i | 1.32631 | − | 0.765747i | ||||
\(290\) | −17.0310 | + | 13.3998i | −1.00010 | + | 0.786863i | ||||
\(291\) | −2.63038 | + | 4.55596i | −0.154196 | + | 0.267075i | ||||
\(292\) | 2.29071 | − | 8.54906i | 0.134054 | − | 0.500296i | ||||
\(293\) | 10.7875 | − | 10.7875i | 0.630212 | − | 0.630212i | −0.317909 | − | 0.948121i | \(-0.602981\pi\) |
0.948121 | + | 0.317909i | \(0.102981\pi\) | |||||||
\(294\) | −4.18993 | + | 7.07466i | −0.244362 | + | 0.412602i | ||||
\(295\) | 5.24056 | − | 2.24558i | 0.305117 | − | 0.130743i | ||||
\(296\) | 1.33557 | + | 2.31328i | 0.0776285 | + | 0.134456i | ||||
\(297\) | −3.89528 | + | 1.04374i | −0.226027 | + | 0.0605637i | ||||
\(298\) | 3.80802 | − | 1.02036i | 0.220593 | − | 0.0591077i | ||||
\(299\) | 7.69020 | + | 13.3198i | 0.444736 | + | 0.770305i | ||||
\(300\) | −5.87135 | + | 0.142505i | −0.338982 | + | 0.00822751i | ||||
\(301\) | −2.95689 | − | 5.18776i | −0.170432 | − | 0.299018i | ||||
\(302\) | 14.1035 | − | 14.1035i | 0.811564 | − | 0.811564i | ||||
\(303\) | −3.39936 | + | 12.6866i | −0.195288 | + | 0.728826i | ||||
\(304\) | −0.946027 | + | 1.63857i | −0.0542584 | + | 0.0939783i | ||||
\(305\) | −13.4853 | − | 1.60917i | −0.772166 | − | 0.0921411i | ||||
\(306\) | −9.20520 | + | 5.31463i | −0.526226 | + | 0.303817i | ||||
\(307\) | −6.89201 | − | 6.89201i | −0.393348 | − | 0.393348i | 0.482531 | − | 0.875879i | \(-0.339718\pi\) |
−0.875879 | + | 0.482531i | \(0.839718\pi\) | |||||||
\(308\) | 1.90179 | − | 0.498288i | 0.108364 | − | 0.0283926i | ||||
\(309\) | 2.84982i | 0.162121i | ||||||||
\(310\) | −1.09092 | − | 7.57495i | −0.0619599 | − | 0.430228i | ||||
\(311\) | −0.109136 | − | 0.0630096i | −0.00618852 | − | 0.00357294i | 0.496903 | − | 0.867806i | \(-0.334471\pi\) |
−0.503091 | + | 0.864233i | \(0.667804\pi\) | |||||||
\(312\) | 0.883663 | + | 3.29788i | 0.0500276 | + | 0.186706i | ||||
\(313\) | −11.2955 | − | 3.02662i | −0.638459 | − | 0.171075i | −0.0749536 | − | 0.997187i | \(-0.523881\pi\) |
−0.563505 | + | 0.826112i | \(0.690548\pi\) | |||||||
\(314\) | −7.46334 | −0.421181 | ||||||||
\(315\) | 8.87999 | + | 3.60991i | 0.500331 | + | 0.203395i | ||||
\(316\) | −6.58284 | −0.370314 | ||||||||
\(317\) | 10.5732 | + | 2.83308i | 0.593851 | + | 0.159122i | 0.543212 | − | 0.839595i | \(-0.317208\pi\) |
0.0506382 | + | 0.998717i | \(0.483874\pi\) | |||||||
\(318\) | −1.51572 | − | 5.65674i | −0.0849974 | − | 0.317214i | ||||
\(319\) | 6.23657 | + | 3.60068i | 0.349181 | + | 0.201600i | ||||
\(320\) | 1.33961 | − | 1.79038i | 0.0748864 | − | 0.100085i | ||||
\(321\) | 7.80001i | 0.435354i | ||||||||
\(322\) | 9.95413 | − | 9.84425i | 0.554722 | − | 0.548599i | ||||
\(323\) | −8.77670 | − | 8.77670i | −0.488349 | − | 0.488349i | ||||
\(324\) | −1.31104 | + | 0.756928i | −0.0728354 | + | 0.0420516i | ||||
\(325\) | 12.7588 | + | 6.95913i | 0.707733 | + | 0.386023i | ||||
\(326\) | 6.08327 | − | 10.5365i | 0.336921 | − | 0.583565i | ||||
\(327\) | 2.72410 | − | 10.1665i | 0.150643 | − | 0.562208i | ||||
\(328\) | −0.578200 | + | 0.578200i | −0.0319258 | + | 0.0319258i | ||||
\(329\) | −6.29002 | + | 10.7563i | −0.346780 | + | 0.593016i | ||||
\(330\) | 0.768703 | + | 1.79393i | 0.0423157 | + | 0.0987528i | ||||
\(331\) | 2.73019 | + | 4.72883i | 0.150065 | + | 0.259920i | 0.931251 | − | 0.364378i | \(-0.118718\pi\) |
−0.781186 | + | 0.624298i | \(0.785385\pi\) | |||||||
\(332\) | 12.6155 | − | 3.38031i | 0.692366 | − | 0.185519i | ||||
\(333\) | 4.18052 | − | 1.12017i | 0.229091 | − | 0.0613848i | ||||
\(334\) | 1.02929 | + | 1.78279i | 0.0563205 | + | 0.0975500i | ||||
\(335\) | −11.3717 | + | 28.4244i | −0.621304 | + | 1.55299i | ||||
\(336\) | 2.69996 | − | 1.53891i | 0.147295 | − | 0.0839544i | ||||
\(337\) | 20.4823 | − | 20.4823i | 1.11574 | − | 1.11574i | 0.123385 | − | 0.992359i | \(-0.460625\pi\) |
0.992359 | − | 0.123385i | \(-0.0393751\pi\) | |||||||
\(338\) | −1.17796 | + | 4.39621i | −0.0640727 | + | 0.239122i | ||||
\(339\) | −0.255644 | + | 0.442788i | −0.0138847 | + | 0.0240490i | ||||
\(340\) | 9.07041 | + | 11.5284i | 0.491912 | + | 0.625217i | ||||
\(341\) | −2.20249 | + | 1.27161i | −0.119272 | + | 0.0688615i | ||||
\(342\) | 2.16775 | + | 2.16775i | 0.117218 | + | 0.117218i | ||||
\(343\) | −12.8760 | − | 13.3120i | −0.695237 | − | 0.718781i | ||||
\(344\) | 2.25693i | 0.121685i | ||||||||
\(345\) | 11.1279 | + | 8.32618i | 0.599105 | + | 0.448266i | ||||
\(346\) | 8.14763 | + | 4.70404i | 0.438019 | + | 0.252891i | ||||
\(347\) | −5.57442 | − | 20.8040i | −0.299250 | − | 1.11682i | −0.937783 | − | 0.347223i | \(-0.887125\pi\) |
0.638532 | − | 0.769595i | \(-0.279542\pi\) | |||||||
\(348\) | 10.9957 | + | 2.94629i | 0.589432 | + | 0.157938i | ||||
\(349\) | 12.5744 | 0.673093 | 0.336546 | − | 0.941667i | \(-0.390741\pi\) | ||||
0.336546 | + | 0.941667i | \(0.390741\pi\) | |||||||
\(350\) | 3.18410 | − | 12.8398i | 0.170198 | − | 0.686318i | ||||
\(351\) | 15.7746 | 0.841987 | ||||||||
\(352\) | −0.717752 | − | 0.192321i | −0.0382563 | − | 0.0102508i | ||||
\(353\) | 0.178457 | + | 0.666012i | 0.00949832 | + | 0.0354482i | 0.970512 | − | 0.241051i | \(-0.0774922\pi\) |
−0.961014 | + | 0.276500i | \(0.910826\pi\) | |||||||
\(354\) | −2.59372 | − | 1.49749i | −0.137855 | − | 0.0795905i | ||||
\(355\) | 28.6769 | + | 21.4569i | 1.52201 | + | 1.13881i | ||||
\(356\) | 6.03207i | 0.319699i | ||||||||
\(357\) | 5.16723 | + | 19.7215i | 0.273479 | + | 1.04377i | ||||
\(358\) | 3.18020 | + | 3.18020i | 0.168079 | + | 0.168079i | ||||
\(359\) | −19.1381 | + | 11.0494i | −1.01007 | + | 0.583165i | −0.911212 | − | 0.411937i | \(-0.864852\pi\) |
−0.0988582 | + | 0.995102i | \(0.531519\pi\) | |||||||
\(360\) | −2.24029 | − | 2.84739i | −0.118074 | − | 0.150071i | ||||
\(361\) | 7.71007 | − | 13.3542i | 0.405793 | − | 0.702854i | ||||
\(362\) | −4.62898 | + | 17.2756i | −0.243294 | + | 0.907985i | ||||
\(363\) | −8.67775 | + | 8.67775i | −0.455464 | + | 0.455464i | ||||
\(364\) | −7.69020 | − | 0.0426776i | −0.403076 | − | 0.00223692i | ||||
\(365\) | −7.35115 | + | 18.3747i | −0.384777 | + | 0.961775i | ||||
\(366\) | 3.56707 | + | 6.17834i | 0.186454 | + | 0.322947i | ||||
\(367\) | 12.9539 | − | 3.47100i | 0.676191 | − | 0.181185i | 0.0956487 | − | 0.995415i | \(-0.469507\pi\) |
0.580542 | + | 0.814230i | \(0.302841\pi\) | |||||||
\(368\) | −5.11112 | + | 1.36952i | −0.266436 | + | 0.0713912i | ||||
\(369\) | 0.662450 | + | 1.14740i | 0.0344858 | + | 0.0597311i | ||||
\(370\) | −2.35250 | − | 5.49006i | −0.122300 | − | 0.285415i | ||||
\(371\) | 13.1908 | + | 0.0732036i | 0.684830 | + | 0.00380054i | ||||
\(372\) | −2.84271 | + | 2.84271i | −0.147388 | + | 0.147388i | ||||
\(373\) | −3.87359 | + | 14.4564i | −0.200567 | + | 0.748526i | 0.790188 | + | 0.612864i | \(0.209983\pi\) |
−0.990755 | + | 0.135662i | \(0.956684\pi\) | |||||||
\(374\) | 2.43733 | − | 4.22157i | 0.126031 | − | 0.218292i | ||||
\(375\) | 13.0740 | + | 1.23918i | 0.675138 | + | 0.0639912i | ||||
\(376\) | 4.07864 | − | 2.35481i | 0.210340 | − | 0.121440i | ||||
\(377\) | −19.9189 | − | 19.9189i | −1.02587 | − | 1.02587i | ||||
\(378\) | −3.63926 | − | 13.8898i | −0.187183 | − | 0.714413i | ||||
\(379\) | − | 1.71784i | − | 0.0882395i | −0.999026 | − | 0.0441198i | \(-0.985952\pi\) | ||
0.999026 | − | 0.0441198i | \(-0.0140483\pi\) | |||||||
\(380\) | 2.53461 | − | 3.38749i | 0.130023 | − | 0.173775i | ||||
\(381\) | −16.0869 | − | 9.28776i | −0.824156 | − | 0.475827i | ||||
\(382\) | 0.718348 | + | 2.68091i | 0.0367539 | + | 0.137167i | ||||
\(383\) | −10.1017 | − | 2.70676i | −0.516175 | − | 0.138309i | −0.00867837 | − | 0.999962i | \(-0.502762\pi\) |
−0.507497 | + | 0.861654i | \(0.669429\pi\) | |||||||
\(384\) | −1.17462 | −0.0599418 | ||||||||
\(385\) | −4.35459 | + | 0.602485i | −0.221931 | + | 0.0307055i | ||||
\(386\) | 5.14005 | 0.261622 | ||||||||
\(387\) | 3.53225 | + | 0.946464i | 0.179554 | + | 0.0481114i | ||||
\(388\) | 1.15918 | + | 4.32611i | 0.0588483 | + | 0.219625i | ||||
\(389\) | −18.8548 | − | 10.8858i | −0.955978 | − | 0.551934i | −0.0610449 | − | 0.998135i | \(-0.519443\pi\) |
−0.894933 | + | 0.446201i | \(0.852777\pi\) | |||||||
\(390\) | −1.08825 | − | 7.55645i | −0.0551058 | − | 0.382636i | ||||
\(391\) | − | 34.7124i | − | 1.75548i | ||||||
\(392\) | 1.73658 | + | 6.78117i | 0.0877104 | + | 0.342501i | ||||
\(393\) | −7.96759 | − | 7.96759i | −0.401912 | − | 0.401912i | ||||
\(394\) | 1.64169 | − | 0.947829i | 0.0827071 | − | 0.0477510i | ||||
\(395\) | 14.6160 | + | 1.74410i | 0.735410 | + | 0.0877551i | ||||
\(396\) | −0.601992 | + | 1.04268i | −0.0302512 | + | 0.0523967i | ||||
\(397\) | −8.20427 | + | 30.6188i | −0.411761 | + | 1.53671i | 0.379476 | + | 0.925202i | \(0.376104\pi\) |
−0.791237 | + | 0.611510i | \(0.790562\pi\) | |||||||
\(398\) | −10.2551 | + | 10.2551i | −0.514043 | + | 0.514043i | ||||
\(399\) | 5.10848 | − | 2.91170i | 0.255744 | − | 0.145767i | ||||
\(400\) | −3.44871 | + | 3.62028i | −0.172435 | + | 0.181014i | ||||
\(401\) | −6.98528 | − | 12.0989i | −0.348828 | − | 0.604188i | 0.637213 | − | 0.770687i | \(-0.280087\pi\) |
−0.986042 | + | 0.166499i | \(0.946754\pi\) | |||||||
\(402\) | 15.5341 | − | 4.16234i | 0.774769 | − | 0.207599i | ||||
\(403\) | 9.60930 | − | 2.57480i | 0.478673 | − | 0.128260i | ||||
\(404\) | 5.59083 | + | 9.68359i | 0.278154 | + | 0.481777i | ||||
\(405\) | 3.11146 | − | 1.33327i | 0.154610 | − | 0.0662505i | ||||
\(406\) | −12.9435 | + | 22.1342i | −0.642374 | + | 1.09850i | ||||
\(407\) | −1.40350 | + | 1.40350i | −0.0695690 | + | 0.0695690i | ||||
\(408\) | 1.99437 | − | 7.44307i | 0.0987358 | − | 0.368487i | ||||
\(409\) | 9.36960 | − | 16.2286i | 0.463297 | − | 0.802454i | −0.535826 | − | 0.844328i | \(-0.680000\pi\) |
0.999123 | + | 0.0418748i | \(0.0133330\pi\) | |||||||
\(410\) | 1.43698 | − | 1.13060i | 0.0709673 | − | 0.0558361i | ||||
\(411\) | −9.47010 | + | 5.46757i | −0.467126 | + | 0.269695i | ||||
\(412\) | 1.71557 | + | 1.71557i | 0.0845198 | + | 0.0845198i | ||||
\(413\) | 4.79654 | − | 4.74360i | 0.236022 | − | 0.233417i | ||||
\(414\) | 8.57358i | 0.421369i | ||||||||
\(415\) | −28.9060 | + | 4.16294i | −1.41894 | + | 0.204351i | ||||
\(416\) | 2.51725 | + | 1.45333i | 0.123418 | + | 0.0712555i | ||||
\(417\) | −6.74040 | − | 25.1555i | −0.330079 | − | 1.23187i | ||||
\(418\) | −1.35803 | − | 0.363882i | −0.0664232 | − | 0.0177981i | ||||
\(419\) | 31.5744 | 1.54251 | 0.771255 | − | 0.636526i | \(-0.219629\pi\) | ||||
0.771255 | + | 0.636526i | \(0.219629\pi\) | |||||||
\(420\) | −6.40250 | + | 2.70152i | −0.312410 | + | 0.131821i | ||||
\(421\) | −13.5569 | −0.660722 | −0.330361 | − | 0.943855i | \(-0.607171\pi\) | ||||
−0.330361 | + | 0.943855i | \(0.607171\pi\) | |||||||
\(422\) | 9.69057 | + | 2.59658i | 0.471729 | + | 0.126399i | ||||
\(423\) | −1.97502 | − | 7.37087i | −0.0960287 | − | 0.358384i | ||||
\(424\) | −4.31775 | − | 2.49286i | −0.209689 | − | 0.121064i | ||||
\(425\) | −17.0848 | − | 27.9999i | −0.828733 | − | 1.35820i | ||||
\(426\) | − | 18.8141i | − | 0.911547i | ||||||
\(427\) | −15.5445 | + | 4.07282i | −0.752252 | + | 0.197097i | ||||
\(428\) | 4.69553 | + | 4.69553i | 0.226967 | + | 0.226967i | ||||
\(429\) | −2.19711 | + | 1.26850i | −0.106078 | + | 0.0612439i | ||||
\(430\) | 0.597964 | − | 5.01109i | 0.0288364 | − | 0.241656i | ||||
\(431\) | −6.63518 | + | 11.4925i | −0.319605 | + | 0.553572i | −0.980406 | − | 0.196989i | \(-0.936884\pi\) |
0.660800 | + | 0.750562i | \(0.270217\pi\) | |||||||
\(432\) | −1.40462 | + | 5.24213i | −0.0675800 | + | 0.252212i | ||||
\(433\) | −12.0535 | + | 12.0535i | −0.579252 | + | 0.579252i | −0.934697 | − | 0.355445i | \(-0.884329\pi\) |
0.355445 | + | 0.934697i | \(0.384329\pi\) | |||||||
\(434\) | −4.48405 | − | 7.86710i | −0.215241 | − | 0.377633i | ||||
\(435\) | −23.6334 | − | 9.45497i | −1.13313 | − | 0.453331i | ||||
\(436\) | −4.48024 | − | 7.76000i | −0.214565 | − | 0.371637i | ||||
\(437\) | −9.67052 | + | 2.59121i | −0.462604 | + | 0.123954i | ||||
\(438\) | 10.0419 | − | 2.69071i | 0.479818 | − | 0.128567i | ||||
\(439\) | −17.5238 | − | 30.3521i | −0.836366 | − | 1.44863i | −0.892913 | − | 0.450228i | \(-0.851343\pi\) |
0.0565475 | − | 0.998400i | \(-0.481991\pi\) | |||||||
\(440\) | 1.54268 | + | 0.617179i | 0.0735445 | + | 0.0294229i | ||||
\(441\) | 11.3413 | + | 0.125883i | 0.540060 | + | 0.00599443i | ||||
\(442\) | −13.4832 | + | 13.4832i | −0.641330 | + | 0.641330i | ||||
\(443\) | −0.0163232 | + | 0.0609189i | −0.000775538 | + | 0.00289435i | −0.966313 | − | 0.257372i | \(-0.917144\pi\) |
0.965537 | + | 0.260266i | \(0.0838102\pi\) | |||||||
\(444\) | −1.56878 | + | 2.71721i | −0.0744511 | + | 0.128953i | ||||
\(445\) | 1.59817 | − | 13.3931i | 0.0757606 | − | 0.634893i | ||||
\(446\) | −3.84271 | + | 2.21859i | −0.181958 | + | 0.105053i | ||||
\(447\) | 3.27444 | + | 3.27444i | 0.154876 | + | 0.154876i | ||||
\(448\) | 0.698943 | − | 2.55176i | 0.0330219 | − | 0.120559i | ||||
\(449\) | 24.5207i | 1.15720i | 0.815611 | + | 0.578601i | \(0.196401\pi\) | ||||
−0.815611 | + | 0.578601i | \(0.803599\pi\) | |||||||
\(450\) | 4.21974 | + | 6.91566i | 0.198921 | + | 0.326008i | ||||
\(451\) | −0.526205 | − | 0.303804i | −0.0247780 | − | 0.0143056i | ||||
\(452\) | 0.112659 | + | 0.420450i | 0.00529904 | + | 0.0197763i | ||||
\(453\) | 22.6298 | + | 6.06364i | 1.06324 | + | 0.284894i | ||||
\(454\) | 0.670872 | 0.0314856 | ||||||||
\(455\) | 17.0634 | + | 2.13224i | 0.799943 | + | 0.0999612i | ||||
\(456\) | −2.22244 | −0.104075 | ||||||||
\(457\) | −19.3892 | − | 5.19531i | −0.906987 | − | 0.243027i | −0.224973 | − | 0.974365i | \(-0.572229\pi\) |
−0.682015 | + | 0.731339i | \(0.738896\pi\) | |||||||
\(458\) | −3.41727 | − | 12.7534i | −0.159679 | − | 0.595929i | ||||
\(459\) | −30.8324 | − | 17.8011i | −1.43913 | − | 0.830884i | ||||
\(460\) | 11.7112 | − | 1.68660i | 0.546035 | − | 0.0786380i | ||||
\(461\) | 11.6940i | 0.544642i | 0.962207 | + | 0.272321i | \(0.0877912\pi\) | ||||
−0.962207 | + | 0.272321i | \(0.912209\pi\) | |||||||
\(462\) | 1.62382 | + | 1.64194i | 0.0755468 | + | 0.0763900i | ||||
\(463\) | 2.77226 | + | 2.77226i | 0.128838 | + | 0.128838i | 0.768585 | − | 0.639747i | \(-0.220961\pi\) |
−0.639747 | + | 0.768585i | \(0.720961\pi\) | |||||||
\(464\) | 8.39295 | − | 4.84567i | 0.389633 | − | 0.224955i | ||||
\(465\) | 7.06489 | − | 5.55856i | 0.327626 | − | 0.257772i | ||||
\(466\) | −4.32947 | + | 7.49886i | −0.200559 | + | 0.347378i | ||||
\(467\) | −5.41472 | + | 20.2080i | −0.250563 | + | 0.935116i | 0.719942 | + | 0.694035i | \(0.244169\pi\) |
−0.970505 | + | 0.241081i | \(0.922498\pi\) | |||||||
\(468\) | 3.33020 | − | 3.33020i | 0.153938 | − | 0.153938i | ||||
\(469\) | −0.201026 | + | 36.2233i | −0.00928250 | + | 1.67264i | ||||
\(470\) | −9.67977 | + | 4.14779i | −0.446495 | + | 0.191323i | ||||
\(471\) | −4.38327 | − | 7.59205i | −0.201971 | − | 0.349823i | ||||
\(472\) | −2.46287 | + | 0.659924i | −0.113363 | + | 0.0303754i | ||||
\(473\) | −1.61992 | + | 0.434055i | −0.0744838 | + | 0.0199579i | ||||
\(474\) | −3.86615 | − | 6.69637i | −0.177578 | − | 0.307575i | ||||
\(475\) | −6.52514 | + | 6.84976i | −0.299394 | + | 0.314289i | ||||
\(476\) | 14.9828 | + | 8.76153i | 0.686734 | + | 0.401584i | ||||
\(477\) | −5.71218 | + | 5.71218i | −0.261543 | + | 0.261543i | ||||
\(478\) | 1.03604 | − | 3.86655i | 0.0473873 | − | 0.176852i | ||||
\(479\) | 12.1419 | − | 21.0303i | 0.554775 | − | 0.960899i | −0.443145 | − | 0.896450i | \(-0.646137\pi\) |
0.997921 | − | 0.0644496i | \(-0.0205292\pi\) | |||||||
\(480\) | 2.60802 | + | 0.311210i | 0.119039 | + | 0.0142047i | ||||
\(481\) | 6.72392 | − | 3.88206i | 0.306584 | − | 0.177007i | ||||
\(482\) | −12.2507 | − | 12.2507i | −0.558005 | − | 0.558005i | ||||
\(483\) | 15.8602 | + | 4.34420i | 0.721663 | + | 0.197668i | ||||
\(484\) | 10.4478i | 0.474902i | ||||||||
\(485\) | −1.42755 | − | 9.91244i | −0.0648219 | − | 0.450101i | ||||
\(486\) | 12.5599 | + | 7.25148i | 0.569730 | + | 0.328934i | ||||
\(487\) | 0.661539 | + | 2.46890i | 0.0299772 | + | 0.111876i | 0.979293 | − | 0.202446i | \(-0.0648892\pi\) |
−0.949316 | + | 0.314323i | \(0.898223\pi\) | |||||||
\(488\) | 5.86664 | + | 1.57196i | 0.265570 | + | 0.0711594i | ||||
\(489\) | 14.2910 | 0.646262 | ||||||||
\(490\) | −2.05910 | − | 15.5164i | −0.0930209 | − | 0.700962i | ||||
\(491\) | 14.5668 | 0.657391 | 0.328695 | − | 0.944436i | \(-0.393391\pi\) | ||||
0.328695 | + | 0.944436i | \(0.393391\pi\) | |||||||
\(492\) | −0.927753 | − | 0.248591i | −0.0418264 | − | 0.0112073i | ||||
\(493\) | 16.4548 | + | 61.4102i | 0.741088 | + | 2.76578i | ||||
\(494\) | 4.76277 | + | 2.74978i | 0.214287 | + | 0.123719i | ||||
\(495\) | 1.61287 | − | 2.15559i | 0.0724930 | − | 0.0968864i | ||||
\(496\) | 3.42257i | 0.153678i | ||||||||
\(497\) | 40.8722 | + | 11.1951i | 1.83337 | + | 0.502171i | ||||
\(498\) | 10.8478 | + | 10.8478i | 0.486101 | + | 0.486101i | ||||
\(499\) | 26.0565 | − | 15.0437i | 1.16645 | − | 0.673450i | 0.213608 | − | 0.976919i | \(-0.431478\pi\) |
0.952841 | + | 0.303469i | \(0.0981450\pi\) | |||||||
\(500\) | 8.61640 | − | 7.12444i | 0.385337 | − | 0.318615i | ||||
\(501\) | −1.20902 | + | 2.09409i | −0.0540152 | + | 0.0935572i | ||||
\(502\) | 1.42334 | − | 5.31199i | 0.0635269 | − | 0.237086i | ||||
\(503\) | 24.6819 | − | 24.6819i | 1.10051 | − | 1.10051i | 0.106161 | − | 0.994349i | \(-0.466144\pi\) |
0.994349 | − | 0.106161i | \(-0.0338558\pi\) | |||||||
\(504\) | −3.70057 | − | 2.16400i | −0.164837 | − | 0.0963921i | ||||
\(505\) | −9.84777 | − | 22.9819i | −0.438220 | − | 1.02268i | ||||
\(506\) | −1.96595 | − | 3.40513i | −0.0873973 | − | 0.151377i | ||||
\(507\) | −5.16386 | + | 1.38365i | −0.229335 | + | 0.0614501i | ||||
\(508\) | −15.2753 | + | 4.09300i | −0.677731 | + | 0.181598i | ||||
\(509\) | −6.22521 | − | 10.7824i | −0.275927 | − | 0.477920i | 0.694441 | − | 0.719549i | \(-0.255652\pi\) |
−0.970369 | + | 0.241629i | \(0.922318\pi\) | |||||||
\(510\) | −6.40013 | + | 15.9976i | −0.283403 | + | 0.708384i | ||||
\(511\) | −0.129951 | + | 23.4162i | −0.00574869 | + | 1.03587i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | −2.65762 | + | 9.91839i | −0.117337 | + | 0.437908i | ||||
\(514\) | 8.25494 | − | 14.2980i | 0.364110 | − | 0.630656i | ||||
\(515\) | −3.35456 | − | 4.26363i | −0.147820 | − | 0.187878i | ||||
\(516\) | −2.29585 | + | 1.32551i | −0.101069 | + | 0.0583524i | ||||
\(517\) | 2.47458 | + | 2.47458i | 0.108832 | + | 0.108832i | ||||
\(518\) | −4.96944 | − | 5.02490i | −0.218345 | − | 0.220782i | ||||
\(519\) | 11.0509i | 0.485079i | ||||||||
\(520\) | −5.20403 | − | 3.89379i | −0.228212 | − | 0.170754i | ||||
\(521\) | 30.6011 | + | 17.6676i | 1.34066 | + | 0.774030i | 0.986904 | − | 0.161308i | \(-0.0515711\pi\) |
0.353756 | + | 0.935338i | \(0.384904\pi\) | |||||||
\(522\) | −4.06416 | − | 15.1676i | −0.177883 | − | 0.663869i | ||||
\(523\) | −15.8804 | − | 4.25513i | −0.694400 | − | 0.186064i | −0.105679 | − | 0.994400i | \(-0.533702\pi\) |
−0.588721 | + | 0.808336i | \(0.700368\pi\) | |||||||
\(524\) | −9.59282 | −0.419064 | ||||||||
\(525\) | 14.9313 | − | 4.30192i | 0.651657 | − | 0.187751i | ||||
\(526\) | 9.86084 | 0.429953 | ||||||||
\(527\) | −21.6875 | − | 5.81115i | −0.944722 | − | 0.253137i | ||||
\(528\) | −0.225903 | − | 0.843083i | −0.00983118 | − | 0.0366905i | ||||
\(529\) | −4.32938 | − | 2.49957i | −0.188234 | − | 0.108677i | ||||
\(530\) | 8.92631 | + | 6.67890i | 0.387734 | + | 0.290113i | ||||
\(531\) | 4.13131i | 0.179283i | ||||||||
\(532\) | 1.32244 | − | 4.82807i | 0.0573349 | − | 0.209323i | ||||
\(533\) | 1.68063 | + | 1.68063i | 0.0727964 | + | 0.0727964i | ||||
\(534\) | −6.13610 | + | 3.54268i | −0.265535 | + | 0.153307i | ||||
\(535\) | −9.18150 | − | 11.6696i | −0.396951 | − | 0.504522i | ||||
\(536\) | 6.84567 | − | 11.8571i | 0.295688 | − | 0.512147i | ||||
\(537\) | −1.36729 | + | 5.10281i | −0.0590031 | + | 0.220202i | ||||
\(538\) | −6.33457 | + | 6.33457i | −0.273103 | + | 0.273103i | ||||
\(539\) | −4.53322 | + | 2.55059i | −0.195260 | + | 0.109862i | ||||
\(540\) | 4.50759 | − | 11.2670i | 0.193976 | − | 0.484856i | ||||
\(541\) | 13.2572 | + | 22.9621i | 0.569970 | + | 0.987218i | 0.996568 | + | 0.0827763i | \(0.0263787\pi\) |
−0.426598 | + | 0.904441i | \(0.640288\pi\) | |||||||
\(542\) | −22.0717 | + | 5.91408i | −0.948059 | + | 0.254032i | ||||
\(543\) | −20.2922 | + | 5.43727i | −0.870820 | + | 0.233336i | ||||
\(544\) | −3.28007 | − | 5.68124i | −0.140632 | − | 0.243581i | ||||
\(545\) | 7.89157 | + | 18.4167i | 0.338038 | + | 0.788884i | ||||
\(546\) | −4.47310 | − | 7.84789i | −0.191431 | − | 0.335859i | ||||
\(547\) | −1.07403 | + | 1.07403i | −0.0459223 | + | 0.0459223i | −0.729695 | − | 0.683773i | \(-0.760338\pi\) |
0.683773 | + | 0.729695i | \(0.260338\pi\) | |||||||
\(548\) | −2.40949 | + | 8.99233i | −0.102928 | + | 0.384133i | ||||
\(549\) | 4.92046 | − | 8.52249i | 0.210000 | − | 0.363731i | ||||
\(550\) | −3.26172 | − | 1.77906i | −0.139080 | − | 0.0758594i | ||||
\(551\) | 15.8799 | − | 9.16828i | 0.676507 | − | 0.390582i | ||||
\(552\) | −4.39494 | − | 4.39494i | −0.187061 | − | 0.187061i | ||||
\(553\) | 16.8479 | − | 4.41431i | 0.716444 | − | 0.187715i | ||||
\(554\) | 21.5332i | 0.914858i | ||||||||
\(555\) | 4.20311 | − | 5.61742i | 0.178412 | − | 0.238446i | ||||
\(556\) | −19.2010 | − | 11.0857i | −0.814305 | − | 0.470139i | ||||
\(557\) | 4.02313 | + | 15.0145i | 0.170466 | + | 0.636186i | 0.997280 | + | 0.0737108i | \(0.0234842\pi\) |
−0.826814 | + | 0.562475i | \(0.809849\pi\) | |||||||
\(558\) | 5.35657 | + | 1.43529i | 0.226761 | + | 0.0607606i | ||||
\(559\) | 6.56014 | 0.277464 | ||||||||
\(560\) | −2.22795 | + | 5.48053i | −0.0941482 | + | 0.231595i | ||||
\(561\) | 5.72584 | 0.241745 | ||||||||
\(562\) | −5.45637 | − | 1.46203i | −0.230163 | − | 0.0616721i | ||||
\(563\) | −7.10355 | − | 26.5108i | −0.299379 | − | 1.11730i | −0.937677 | − | 0.347508i | \(-0.887028\pi\) |
0.638298 | − | 0.769789i | \(-0.279639\pi\) | |||||||
\(564\) | 4.79084 | + | 2.76599i | 0.201731 | + | 0.116469i | ||||
\(565\) | −0.138742 | − | 0.963380i | −0.00583694 | − | 0.0405297i | ||||
\(566\) | − | 2.92849i | − | 0.123093i | ||||||
\(567\) | 2.84784 | − | 2.81641i | 0.119598 | − | 0.118278i | ||||
\(568\) | −11.3259 | − | 11.3259i | −0.475225 | − | 0.475225i | ||||
\(569\) | −5.85207 | + | 3.37869i | −0.245332 | + | 0.141642i | −0.617625 | − | 0.786473i | \(-0.711905\pi\) |
0.372293 | + | 0.928115i | \(0.378572\pi\) | |||||||
\(570\) | 4.93451 | + | 0.588825i | 0.206684 | + | 0.0246632i | ||||
\(571\) | −5.87721 | + | 10.1796i | −0.245953 | + | 0.426004i | −0.962399 | − | 0.271639i | \(-0.912434\pi\) |
0.716446 | + | 0.697643i | \(0.245768\pi\) | |||||||
\(572\) | −0.559013 | + | 2.08627i | −0.0233735 | + | 0.0872312i | ||||
\(573\) | −2.30526 | + | 2.30526i | −0.0963034 | + | 0.0963034i | ||||
\(574\) | 1.09209 | − | 1.86755i | 0.0455831 | − | 0.0779501i | ||||
\(575\) | −26.4493 | + | 0.641957i | −1.10301 | + | 0.0267715i | ||||
\(576\) | 0.810140 | + | 1.40320i | 0.0337558 | + | 0.0584668i | ||||
\(577\) | 2.17865 | − | 0.583767i | 0.0906983 | − | 0.0243025i | −0.213184 | − | 0.977012i | \(-0.568384\pi\) |
0.303883 | + | 0.952709i | \(0.401717\pi\) | |||||||
\(578\) | 25.1483 | − | 6.73845i | 1.04603 | − | 0.280283i | ||||
\(579\) | 3.01879 | + | 5.22870i | 0.125457 | + | 0.217297i | ||||
\(580\) | −19.9189 | + | 8.53525i | −0.827085 | + | 0.354407i | ||||
\(581\) | −30.0209 | + | 17.1111i | −1.24547 | + | 0.709889i | ||||
\(582\) | −3.71992 | + | 3.71992i | −0.154196 | + | 0.154196i | ||||
\(583\) | 0.958858 | − | 3.57851i | 0.0397118 | − | 0.148207i | ||||
\(584\) | 4.42532 | − | 7.66488i | 0.183121 | − | 0.317175i | ||||
\(585\) | −8.27641 | + | 6.51177i | −0.342188 | + | 0.269229i | ||||
\(586\) | 13.2119 | − | 7.62790i | 0.545779 | − | 0.315106i | ||||
\(587\) | 12.8372 | + | 12.8372i | 0.529847 | + | 0.529847i | 0.920527 | − | 0.390680i | \(-0.127760\pi\) |
−0.390680 | + | 0.920527i | \(0.627760\pi\) | |||||||
\(588\) | −5.87822 | + | 5.74916i | −0.242414 | + | 0.237091i | ||||
\(589\) | 6.47569i | 0.266826i | ||||||||
\(590\) | 5.64319 | − | 0.812712i | 0.232327 | − | 0.0334588i | ||||
\(591\) | 1.92835 | + | 1.11333i | 0.0793218 | + | 0.0457965i | ||||
\(592\) | 0.691342 | + | 2.58012i | 0.0284140 | + | 0.106042i | ||||
\(593\) | 35.1170 | + | 9.40957i | 1.44208 | + | 0.386405i | 0.893262 | − | 0.449535i | \(-0.148410\pi\) |
0.548820 | + | 0.835940i | \(0.315077\pi\) | |||||||
\(594\) | −4.03269 | −0.165463 | ||||||||
\(595\) | −30.9452 | − | 23.4230i | −1.26863 | − | 0.960249i | ||||
\(596\) | 3.94236 | 0.161485 | ||||||||
\(597\) | −16.4549 | − | 4.40908i | −0.673455 | − | 0.180452i | ||||
\(598\) | 3.98074 | + | 14.8563i | 0.162785 | + | 0.607520i | ||||
\(599\) | 30.9792 | + | 17.8858i | 1.26578 | + | 0.730796i | 0.974186 | − | 0.225748i | \(-0.0724826\pi\) |
0.291589 | + | 0.956544i | \(0.405816\pi\) | |||||||
\(600\) | −5.70817 | − | 1.38197i | −0.233035 | − | 0.0564186i | ||||
\(601\) | − | 45.6631i | − | 1.86264i | −0.364204 | − | 0.931319i | \(-0.618659\pi\) | ||
0.364204 | − | 0.931319i | \(-0.381341\pi\) | |||||||
\(602\) | −1.51345 | − | 5.77629i | −0.0616835 | − | 0.235424i | ||||
\(603\) | −15.6863 | − | 15.6863i | −0.638796 | − | 0.638796i | ||||
\(604\) | 17.2732 | − | 9.97267i | 0.702835 | − | 0.405782i | ||||
\(605\) | 2.76811 | − | 23.1975i | 0.112540 | − | 0.943113i | ||||
\(606\) | −6.56707 | + | 11.3745i | −0.266769 | + | 0.462057i | ||||
\(607\) | −0.303188 | + | 1.13151i | −0.0123060 | + | 0.0459267i | −0.971806 | − | 0.235783i | \(-0.924235\pi\) |
0.959500 | + | 0.281709i | \(0.0909014\pi\) | |||||||
\(608\) | −1.33788 | + | 1.33788i | −0.0542584 | + | 0.0542584i | ||||
\(609\) | −30.1177 | − | 0.167142i | −1.22043 | − | 0.00677293i | ||||
\(610\) | −12.6093 | − | 5.04460i | −0.510536 | − | 0.204250i | ||||
\(611\) | −6.84463 | − | 11.8553i | −0.276904 | − | 0.479612i | ||||
\(612\) | −10.2671 | + | 2.75105i | −0.415022 | + | 0.111205i | ||||
\(613\) | 13.4629 | − | 3.60737i | 0.543760 | − | 0.145700i | 0.0235253 | − | 0.999723i | \(-0.492511\pi\) |
0.520235 | + | 0.854023i | \(0.325844\pi\) | |||||||
\(614\) | −4.87339 | − | 8.44095i | −0.196674 | − | 0.340649i | ||||
\(615\) | 1.99404 | + | 0.797755i | 0.0804076 | + | 0.0321686i | ||||
\(616\) | 1.96595 | + | 0.0109103i | 0.0792105 | + | 0.000439588i | ||||
\(617\) | 22.7725 | − | 22.7725i | 0.916788 | − | 0.916788i | −0.0800065 | − | 0.996794i | \(-0.525494\pi\) |
0.996794 | + | 0.0800065i | \(0.0254941\pi\) | |||||||
\(618\) | −0.737588 | + | 2.75272i | −0.0296702 | + | 0.110731i | ||||
\(619\) | −11.3386 | + | 19.6391i | −0.455738 | + | 0.789361i | −0.998730 | − | 0.0503763i | \(-0.983958\pi\) |
0.542992 | + | 0.839738i | \(0.317291\pi\) | |||||||
\(620\) | 0.906797 | − | 7.59919i | 0.0364178 | − | 0.305191i | ||||
\(621\) | −24.8695 | + | 14.3584i | −0.997978 | + | 0.576183i | ||||
\(622\) | −0.0891090 | − | 0.0891090i | −0.00357294 | − | 0.00357294i | ||||
\(623\) | −4.04497 | − | 15.4382i | −0.162058 | − | 0.618520i | ||||
\(624\) | 3.41421i | 0.136678i | ||||||||
\(625\) | −21.0187 | + | 13.5356i | −0.840749 | + | 0.541425i | ||||
\(626\) | −10.1273 | − | 5.84698i | −0.404767 | − | 0.233692i | ||||
\(627\) | −0.427421 | − | 1.59516i | −0.0170696 | − | 0.0637045i | ||||
\(628\) | −7.20903 | − | 1.93165i | −0.287672 | − | 0.0770814i | ||||
\(629\) | −17.5231 | −0.698690 | ||||||||
\(630\) | 7.64310 | + | 5.78521i | 0.304508 | + | 0.230488i | ||||
\(631\) | 32.4210 | 1.29066 | 0.645330 | − | 0.763904i | \(-0.276720\pi\) | ||||
0.645330 | + | 0.763904i | \(0.276720\pi\) | |||||||
\(632\) | −6.35854 | − | 1.70376i | −0.252929 | − | 0.0677721i | ||||
\(633\) | 3.04998 | + | 11.3827i | 0.121226 | + | 0.452421i | ||||
\(634\) | 9.47968 | + | 5.47310i | 0.376486 | + | 0.217364i | ||||
\(635\) | 35.0004 | − | 5.04063i | 1.38895 | − | 0.200031i | ||||
\(636\) | − | 5.85629i | − | 0.232217i | ||||||
\(637\) | 19.7106 | − | 5.04765i | 0.780963 | − | 0.199995i | ||||
\(638\) | 5.09214 | + | 5.09214i | 0.201600 | + | 0.201600i | ||||
\(639\) | −22.4755 | + | 12.9762i | −0.889116 | + | 0.513331i | ||||
\(640\) | 1.75735 | − | 1.38266i | 0.0694652 | − | 0.0546543i | ||||
\(641\) | 0.428070 | − | 0.741439i | 0.0169077 | − | 0.0292851i | −0.857448 | − | 0.514571i | \(-0.827951\pi\) |
0.874355 | + | 0.485286i | \(0.161285\pi\) | |||||||
\(642\) | −2.01879 | + | 7.53423i | −0.0796754 | + | 0.297353i | ||||
\(643\) | −16.4254 | + | 16.4254i | −0.647754 | + | 0.647754i | −0.952450 | − | 0.304696i | \(-0.901445\pi\) |
0.304696 | + | 0.952450i | \(0.401445\pi\) | |||||||
\(644\) | 12.1628 | − | 6.93250i | 0.479283 | − | 0.273179i | ||||
\(645\) | 5.44871 | − | 2.33478i | 0.214543 | − | 0.0919317i | ||||
\(646\) | −6.20607 | − | 10.7492i | −0.244174 | − | 0.422922i | ||||
\(647\) | −45.8316 | + | 12.2805i | −1.80183 | + | 0.482798i | −0.994261 | − | 0.106982i | \(-0.965881\pi\) |
−0.807564 | + | 0.589779i | \(0.799215\pi\) | |||||||
\(648\) | −1.46227 | + | 0.391815i | −0.0574435 | + | 0.0153919i | ||||
\(649\) | −0.947323 | − | 1.64081i | −0.0371857 | − | 0.0644075i | ||||
\(650\) | 10.5229 | + | 10.0242i | 0.412744 | + | 0.393183i | ||||
\(651\) | 5.36927 | − | 9.18179i | 0.210438 | − | 0.359863i | ||||
\(652\) | 8.60305 | − | 8.60305i | 0.336921 | − | 0.336921i | ||||
\(653\) | 6.80004 | − | 25.3781i | 0.266106 | − | 0.993121i | −0.695464 | − | 0.718561i | \(-0.744801\pi\) |
0.961570 | − | 0.274560i | \(-0.0885323\pi\) | |||||||
\(654\) | 5.26256 | − | 9.11502i | 0.205782 | − | 0.356425i | ||||
\(655\) | 21.2991 | + | 2.54158i | 0.832225 | + | 0.0993077i | ||||
\(656\) | −0.708148 | + | 0.408849i | −0.0276485 | + | 0.0159629i | ||||
\(657\) | −10.1403 | − | 10.1403i | −0.395609 | − | 0.395609i | ||||
\(658\) | −8.85964 | + | 8.76184i | −0.345385 | + | 0.341572i | ||||
\(659\) | − | 26.2355i | − | 1.02199i | −0.859583 | − | 0.510996i | \(-0.829277\pi\) | ||
0.859583 | − | 0.510996i | \(-0.170723\pi\) | |||||||
\(660\) | 0.278205 | + | 1.93176i | 0.0108291 | + | 0.0751937i | ||||
\(661\) | −12.6197 | − | 7.28597i | −0.490848 | − | 0.283391i | 0.234078 | − | 0.972218i | \(-0.424793\pi\) |
−0.724926 | + | 0.688827i | \(0.758126\pi\) | |||||||
\(662\) | 1.41325 | + | 5.27432i | 0.0549275 | + | 0.204992i | ||||
\(663\) | −21.6345 | − | 5.79695i | −0.840215 | − | 0.225135i | ||||
\(664\) | 13.0605 | 0.506847 | ||||||||
\(665\) | −4.21541 | + | 10.3695i | −0.163466 | + | 0.402110i | ||||
\(666\) | 4.32800 | 0.167706 | ||||||||
\(667\) | 49.5336 | + | 13.2725i | 1.91795 | + | 0.513913i | ||||
\(668\) | 0.532802 | + | 1.98844i | 0.0206147 | + | 0.0769352i | ||||
\(669\) | −4.51371 | − | 2.60599i | −0.174510 | − | 0.100753i | ||||
\(670\) | −18.3410 | + | 24.5127i | −0.708576 | + | 0.947007i | ||||
\(671\) | 4.51312i | 0.174227i | ||||||||
\(672\) | 3.00626 | − | 0.787671i | 0.115969 | − | 0.0303851i | ||||
\(673\) | −16.4201 | − | 16.4201i | −0.632950 | − | 0.632950i | 0.315857 | − | 0.948807i | \(-0.397708\pi\) |
−0.948807 | + | 0.315857i | \(0.897708\pi\) | |||||||
\(674\) | 25.0856 | − | 14.4832i | 0.966263 | − | 0.557872i | ||||
\(675\) | −12.9934 | + | 23.8221i | −0.500117 | + | 0.916913i | ||||
\(676\) | −2.27565 | + | 3.94154i | −0.0875249 | + | 0.151598i | ||||
\(677\) | −5.89172 | + | 21.9882i | −0.226437 | + | 0.845075i | 0.755386 | + | 0.655280i | \(0.227449\pi\) |
−0.981824 | + | 0.189796i | \(0.939217\pi\) | |||||||
\(678\) | −0.361535 | + | 0.361535i | −0.0138847 | + | 0.0138847i | ||||
\(679\) | −5.86774 | − | 10.2947i | −0.225183 | − | 0.395076i | ||||
\(680\) | 5.77756 | + | 13.4832i | 0.221559 | + | 0.517057i | ||||
\(681\) | 0.394008 | + | 0.682442i | 0.0150984 | + | 0.0261512i | ||||
\(682\) | −2.45656 | + | 0.658233i | −0.0940665 | + | 0.0252050i | ||||
\(683\) | −29.5964 | + | 7.93034i | −1.13248 | + | 0.303446i | −0.775922 | − | 0.630829i | \(-0.782715\pi\) |
−0.356554 | + | 0.934275i | \(0.616048\pi\) | |||||||
\(684\) | 1.53283 | + | 2.65494i | 0.0586091 | + | 0.101514i | ||||
\(685\) | 7.73231 | − | 19.3274i | 0.295436 | − | 0.738463i | ||||
\(686\) | −8.99183 | − | 16.1910i | −0.343310 | − | 0.618173i | ||||
\(687\) | 10.9664 | − | 10.9664i | 0.418394 | − | 0.418394i | ||||
\(688\) | −0.584136 | + | 2.18003i | −0.0222700 | + | 0.0831127i | ||||
\(689\) | −7.24590 | + | 12.5503i | −0.276047 | + | 0.478127i | ||||
\(690\) | 8.59373 | + | 10.9226i | 0.327158 | + | 0.415815i | ||||
\(691\) | 27.7284 | − | 16.0090i | 1.05484 | − | 0.609012i | 0.130839 | − | 0.991404i | \(-0.458233\pi\) |
0.924000 | + | 0.382392i | \(0.124900\pi\) | |||||||
\(692\) | 6.65251 | + | 6.65251i | 0.252891 | + | 0.252891i | ||||
\(693\) | 0.841516 | − | 3.07228i | 0.0319665 | − | 0.116706i | ||||
\(694\) | − | 21.5379i | − | 0.817567i | ||||||
\(695\) | 39.6952 | + | 29.7010i | 1.50573 | + | 1.12662i | ||||
\(696\) | 9.85849 | + | 5.69180i | 0.373685 | + | 0.215747i | ||||
\(697\) | −1.38836 | − | 5.18143i | −0.0525879 | − | 0.196261i | ||||
\(698\) | 12.1459 | + | 3.25450i | 0.459731 | + | 0.123184i | ||||
\(699\) | −10.1709 | −0.384699 | ||||||||
\(700\) | 6.39880 | − | 11.5782i | 0.241852 | − | 0.437616i | ||||
\(701\) | −18.5294 | −0.699844 | −0.349922 | − | 0.936779i | \(-0.613792\pi\) | ||||
−0.349922 | + | 0.936779i | \(0.613792\pi\) | |||||||
\(702\) | 15.2371 | + | 4.08277i | 0.575088 | + | 0.154094i | ||||
\(703\) | 1.30806 | + | 4.88174i | 0.0493343 | + | 0.184118i | ||||
\(704\) | −0.643519 | − | 0.371536i | −0.0242535 | − | 0.0140028i | ||||
\(705\) | −9.90433 | − | 7.41068i | −0.373019 | − | 0.279103i | ||||
\(706\) | 0.689506i | 0.0259499i | ||||||||
\(707\) | −20.8025 | − | 21.0347i | −0.782360 | − | 0.791092i | ||||
\(708\) | −2.11777 | − | 2.11777i | −0.0795905 | − | 0.0795905i | ||||
\(709\) | −23.1074 | + | 13.3411i | −0.867818 | + | 0.501035i | −0.866622 | − | 0.498965i | \(-0.833714\pi\) |
−0.00119522 | + | 0.999999i | \(0.500380\pi\) | |||||||
\(710\) | 22.1464 | + | 28.1479i | 0.831138 | + | 1.05637i | ||||
\(711\) | −5.33302 | + | 9.23706i | −0.200004 | + | 0.346417i | ||||
\(712\) | −1.56121 | + | 5.82653i | −0.0585089 | + | 0.218358i | ||||
\(713\) | −12.8059 | + | 12.8059i | −0.479585 | + | 0.479585i | ||||
\(714\) | −0.113139 | + | 20.3869i | −0.00423413 | + | 0.762960i | ||||
\(715\) | 1.79393 | − | 4.48406i | 0.0670893 | − | 0.167694i | ||||
\(716\) | 2.24874 | + | 3.89494i | 0.0840395 | + | 0.145561i | ||||
\(717\) | 4.54170 | − | 1.21695i | 0.169613 | − | 0.0454477i | ||||
\(718\) | −21.3458 | + | 5.71959i | −0.796618 | + | 0.213453i | ||||
\(719\) | −15.9890 | − | 27.6937i | −0.596288 | − | 1.03280i | −0.993364 | − | 0.115015i | \(-0.963308\pi\) |
0.397076 | − | 0.917786i | \(-0.370025\pi\) | |||||||
\(720\) | −1.42699 | − | 3.33020i | −0.0531809 | − | 0.124109i | ||||
\(721\) | −5.54117 | − | 3.24033i | −0.206364 | − | 0.120676i | ||||
\(722\) | 10.9037 | − | 10.9037i | 0.405793 | − | 0.405793i | ||||
\(723\) | 5.26706 | − | 19.6569i | 0.195884 | − | 0.731049i | ||||
\(724\) | −8.94250 | + | 15.4889i | −0.332346 | + | 0.575639i | ||||
\(725\) | 46.4875 | − | 13.6735i | 1.72650 | − | 0.507822i | ||||
\(726\) | −10.6280 | + | 6.13610i | −0.394443 | + | 0.227732i | ||||
\(727\) | 21.4539 | + | 21.4539i | 0.795683 | + | 0.795683i | 0.982412 | − | 0.186729i | \(-0.0597885\pi\) |
−0.186729 | + | 0.982412i | \(0.559789\pi\) | |||||||
\(728\) | −7.41711 | − | 2.03159i | −0.274897 | − | 0.0752958i | ||||
\(729\) | 21.5770i | 0.799146i | ||||||||
\(730\) | −11.8564 | + | 15.8460i | −0.438824 | + | 0.586486i | ||||
\(731\) | −12.8222 | − | 7.40288i | −0.474245 | − | 0.273805i | ||||
\(732\) | 1.84645 | + | 6.89105i | 0.0682468 | + | 0.254700i | ||||
\(733\) | −12.5691 | − | 3.36789i | −0.464252 | − | 0.124396i | 0.0191085 | − | 0.999817i | \(-0.493917\pi\) |
−0.483360 | + | 0.875422i | \(0.660584\pi\) | |||||||
\(734\) | 13.4109 | 0.495006 | ||||||||
\(735\) | 14.5747 | − | 11.2075i | 0.537597 | − | 0.413396i | ||||
\(736\) | −5.29142 | −0.195044 | ||||||||
\(737\) | 9.82700 | + | 2.63314i | 0.361982 | + | 0.0969928i | ||||
\(738\) | 0.342909 | + | 1.27976i | 0.0126227 | + | 0.0471084i | ||||
\(739\) | −3.12136 | − | 1.80212i | −0.114821 | − | 0.0662920i | 0.441490 | − | 0.897266i | \(-0.354450\pi\) |
−0.556311 | + | 0.830974i | \(0.687784\pi\) | |||||||
\(740\) | −0.851405 | − | 5.91186i | −0.0312983 | − | 0.217324i | ||||
\(741\) | 6.45988i | 0.237309i | ||||||||
\(742\) | 12.7223 | + | 3.48473i | 0.467052 | + | 0.127928i | ||||
\(743\) | 31.1070 | + | 31.1070i | 1.14121 | + | 1.14121i | 0.988230 | + | 0.152977i | \(0.0488859\pi\) |
0.152977 | + | 0.988230i | \(0.451114\pi\) | |||||||
\(744\) | −3.48160 | + | 2.01010i | −0.127642 | + | 0.0736939i | ||||
\(745\) | −8.75328 | − | 1.04451i | −0.320695 | − | 0.0382680i | ||||
\(746\) | −7.48320 | + | 12.9613i | −0.273979 | + | 0.474546i | ||||
\(747\) | 5.47705 | − | 20.4406i | 0.200395 | − | 0.747884i | ||||
\(748\) | 3.44690 | − | 3.44690i | 0.126031 | − | 0.126031i | ||||
\(749\) | −15.1663 | − | 8.86884i | −0.554164 | − | 0.324060i | ||||
\(750\) | 12.3078 | + | 4.58076i | 0.449417 | + | 0.167266i | ||||
\(751\) | 25.5141 | + | 44.1917i | 0.931023 | + | 1.61258i | 0.781576 | + | 0.623810i | \(0.214416\pi\) |
0.149447 | + | 0.988770i | \(0.452251\pi\) | |||||||
\(752\) | 4.54913 | − | 1.21894i | 0.165890 | − | 0.0444501i | ||||
\(753\) | 6.23954 | − | 1.67188i | 0.227382 | − | 0.0609267i | ||||
\(754\) | −14.0848 | − | 24.3955i | −0.512936 | − | 0.888432i | ||||
\(755\) | −40.9941 | + | 17.5660i | −1.49193 | + | 0.639293i | ||||
\(756\) | 0.0796836 | − | 14.3584i | 0.00289807 | − | 0.522210i | ||||
\(757\) | 26.8141 | − | 26.8141i | 0.974576 | − | 0.974576i | −0.0251083 | − | 0.999685i | \(-0.507993\pi\) |
0.999685 | + | 0.0251083i | \(0.00799305\pi\) | |||||||
\(758\) | 0.444610 | − | 1.65931i | 0.0161490 | − | 0.0602687i | ||||
\(759\) | 2.30924 | − | 3.99972i | 0.0838200 | − | 0.145181i | ||||
\(760\) | 3.32499 | − | 2.61606i | 0.120610 | − | 0.0948944i | ||||
\(761\) | −25.8753 | + | 14.9391i | −0.937980 | + | 0.541543i | −0.889326 | − | 0.457273i | \(-0.848826\pi\) |
−0.0486532 | + | 0.998816i | \(0.515493\pi\) | |||||||
\(762\) | −13.1349 | − | 13.1349i | −0.475827 | − | 0.475827i | ||||
\(763\) | 16.6702 | + | 16.8563i | 0.603503 | + | 0.610239i | ||||
\(764\) | 2.77548i | 0.100413i | ||||||||
\(765\) | 23.5250 | − | 3.38799i | 0.850549 | − | 0.122493i | ||||
\(766\) | −9.05698 | − | 5.22905i | −0.327242 | − | 0.188933i | ||||
\(767\) | 1.91818 | + | 7.15874i | 0.0692614 | + | 0.258487i | ||||
\(768\) | −1.13459 | − | 0.304013i | −0.0409410 | − | 0.0109701i | ||||
\(769\) | 44.7341 | 1.61315 | 0.806576 | − | 0.591130i | \(-0.201318\pi\) | ||||
0.806576 | + | 0.591130i | \(0.201318\pi\) | |||||||
\(770\) | −4.36215 | − | 0.545096i | −0.157201 | − | 0.0196439i | ||||
\(771\) | 19.3927 | 0.698413 | ||||||||
\(772\) | 4.96491 | + | 1.33034i | 0.178691 | + | 0.0478801i | ||||
\(773\) | −6.25202 | − | 23.3328i | −0.224869 | − | 0.839224i | −0.982457 | − | 0.186490i | \(-0.940289\pi\) |
0.757587 | − | 0.652734i | \(-0.226378\pi\) | |||||||
\(774\) | 3.16693 | + | 1.82843i | 0.113833 | + | 0.0657215i | ||||
\(775\) | −4.02675 | + | 16.6324i | −0.144645 | + | 0.597452i | ||||
\(776\) | 4.47871i | 0.160776i | ||||||||
\(777\) | 2.19298 | − | 8.00631i | 0.0786726 | − | 0.287225i | ||||
\(778\) | −15.3949 | − | 15.3949i | −0.551934 | − | 0.551934i | ||||
\(779\) | −1.33985 | + | 0.773565i | −0.0480052 | + | 0.0277158i | ||||
\(780\) | 0.904582 | − | 7.58063i | 0.0323892 | − | 0.271430i | ||||
\(781\) | 5.95099 | − | 10.3074i | 0.212943 | − | 0.368828i | ||||
\(782\) | 8.98424 | − | 33.5296i | 0.321276 | − | 1.19902i | ||||
\(783\) | 37.1906 | − | 37.1906i | 1.32908 | − | 1.32908i | ||||
\(784\) | −0.0776922 | + | 6.99957i | −0.00277472 | + | 0.249985i | ||||
\(785\) | 15.4945 | + | 6.19889i | 0.553024 | + | 0.221248i | ||||
\(786\) | −5.63394 | − | 9.75826i | −0.200956 | − | 0.348066i | ||||
\(787\) | 12.2669 | − | 3.28689i | 0.437266 | − | 0.117165i | −0.0334688 | − | 0.999440i | \(-0.510655\pi\) |
0.470735 | + | 0.882275i | \(0.343989\pi\) | |||||||
\(788\) | 1.83107 | − | 0.490633i | 0.0652290 | − | 0.0174781i | ||||
\(789\) | 5.79134 | + | 10.0309i | 0.206177 | + | 0.357110i | ||||
\(790\) | 13.6666 | + | 5.46757i | 0.486234 | + | 0.194527i | ||||
\(791\) | −0.570279 | − | 1.00054i | −0.0202768 | − | 0.0355749i | ||||
\(792\) | −0.851345 | + | 0.851345i | −0.0302512 | + | 0.0302512i | ||||
\(793\) | 4.56917 | − | 17.0524i | 0.162256 | − | 0.605547i | ||||
\(794\) | −15.8494 | + | 27.4520i | −0.562475 | + | 0.974236i | ||||
\(795\) | −1.55160 | + | 13.0028i | −0.0550296 | + | 0.461163i | ||||
\(796\) | −12.5599 | + | 7.25148i | −0.445175 | + | 0.257022i | ||||
\(797\) | −8.99183 | − | 8.99183i | −0.318507 | − | 0.318507i | 0.529687 | − | 0.848193i | \(-0.322310\pi\) |
−0.848193 | + | 0.529687i | \(0.822310\pi\) | |||||||
\(798\) | 5.68801 | − | 1.49032i | 0.201353 | − | 0.0527566i | ||||
\(799\) | 30.8957i | 1.09301i | ||||||||
\(800\) | −4.26819 | + | 2.60433i | −0.150903 | + | 0.0920770i | ||||
\(801\) | 8.46421 | + | 4.88682i | 0.299068 | + | 0.172667i | ||||
\(802\) | −3.61585 | − | 13.4945i | −0.127680 | − | 0.476508i | ||||
\(803\) | 6.35256 | + | 1.70216i | 0.224177 | + | 0.0600681i | ||||
\(804\) | 16.0821 | 0.567171 | ||||||||
\(805\) | −28.8421 | + | 12.1699i | −1.01655 | + | 0.428931i | ||||
\(806\) | 9.94828 | 0.350413 | ||||||||
\(807\) | −10.1642 | − | 2.72348i | −0.357796 | − | 0.0958710i | ||||
\(808\) | 2.89402 | + | 10.8006i | 0.101811 | + | 0.379965i | ||||
\(809\) | 23.7782 | + | 13.7284i | 0.835997 | + | 0.482663i | 0.855902 | − | 0.517139i | \(-0.173003\pi\) |
−0.0199044 | + | 0.999802i | \(0.506336\pi\) | |||||||
\(810\) | 3.35052 | − | 0.482529i | 0.117725 | − | 0.0169544i | ||||
\(811\) | − | 12.7335i | − | 0.447132i | −0.974689 | − | 0.223566i | \(-0.928230\pi\) | ||
0.974689 | − | 0.223566i | \(-0.0717699\pi\) | |||||||
\(812\) | −18.2312 | + | 18.0300i | −0.639789 | + | 0.632727i | ||||
\(813\) | −18.9789 | − | 18.9789i | −0.665620 | − | 0.665620i | ||||
\(814\) | −1.71893 | + | 0.992425i | −0.0602485 | + | 0.0347845i | ||||
\(815\) | −21.3808 | + | 16.8221i | −0.748938 | + | 0.589254i | ||||
\(816\) | 3.85282 | − | 6.67328i | 0.134876 | − | 0.233611i | ||||
\(817\) | −1.10522 | + | 4.12473i | −0.0386666 | + | 0.144306i | ||||
\(818\) | 13.2506 | − | 13.2506i | 0.463297 | − | 0.463297i | ||||
\(819\) | −6.29002 | + | 10.7563i | −0.219791 | + | 0.375857i | ||||
\(820\) | 1.68063 | − | 0.720154i | 0.0586903 | − | 0.0251489i | ||||
\(821\) | −15.1707 | − | 26.2764i | −0.529461 | − | 0.917054i | −0.999410 | − | 0.0343601i | \(-0.989061\pi\) |
0.469948 | − | 0.882694i | \(-0.344273\pi\) | |||||||
\(822\) | −10.5625 | + | 2.83022i | −0.368410 | + | 0.0987153i | ||||
\(823\) | −9.82702 | + | 2.63314i | −0.342549 | + | 0.0917856i | −0.425992 | − | 0.904727i | \(-0.640075\pi\) |
0.0834435 | + | 0.996513i | \(0.473408\pi\) | |||||||
\(824\) | 1.21309 | + | 2.10113i | 0.0422599 | + | 0.0731963i | ||||
\(825\) | −0.105891 | − | 4.36283i | −0.00368666 | − | 0.151894i | ||||
\(826\) | 5.86084 | − | 3.34053i | 0.203925 | − | 0.116232i | ||||
\(827\) | −15.9794 | + | 15.9794i | −0.555660 | + | 0.555660i | −0.928069 | − | 0.372409i | \(-0.878532\pi\) |
0.372409 | + | 0.928069i | \(0.378532\pi\) | |||||||
\(828\) | −2.21901 | + | 8.28144i | −0.0771158 | + | 0.287800i | ||||
\(829\) | 3.17447 | − | 5.49835i | 0.110254 | − | 0.190966i | −0.805619 | − | 0.592435i | \(-0.798167\pi\) |
0.915873 | + | 0.401469i | \(0.131500\pi\) | |||||||
\(830\) | −28.9985 | − | 3.46033i | −1.00655 | − | 0.120110i | ||||
\(831\) | −21.9046 | + | 12.6466i | −0.759861 | + | 0.438706i | ||||
\(832\) | 2.05532 | + | 2.05532i | 0.0712555 | + | 0.0712555i | ||||
\(833\) | −44.2216 | − | 12.3768i | −1.53219 | − | 0.428830i | ||||
\(834\) | − | 26.0429i | − | 0.901792i | ||||||
\(835\) | −0.656159 | − | 4.55614i | −0.0227073 | − | 0.157672i | ||||
\(836\) | −1.21757 | − | 0.702966i | −0.0421106 | − | 0.0243126i | ||||
\(837\) | 4.80743 | + | 17.9416i | 0.166169 | + | 0.620151i | ||||
\(838\) | 30.4985 | + | 8.17206i | 1.05355 | + | 0.282299i | ||||
\(839\) | −39.7411 | −1.37202 | −0.686008 | − | 0.727594i | \(-0.740638\pi\) | ||||
−0.686008 | + | 0.727594i | \(0.740638\pi\) | |||||||
\(840\) | −6.88354 | + | 0.952381i | −0.237505 | + | 0.0328603i | ||||
\(841\) | −64.9222 | −2.23870 | ||||||||
\(842\) | −13.0949 | − | 3.50878i | −0.451282 | − | 0.120921i | ||||
\(843\) | −1.71732 | − | 6.40914i | −0.0591478 | − | 0.220742i | ||||
\(844\) | 8.68832 | + | 5.01621i | 0.299064 | + | 0.172665i | ||||
\(845\) | 6.09695 | − | 8.14853i | 0.209741 | − | 0.280318i | ||||
\(846\) | − | 7.63089i | − | 0.262355i | ||||||
\(847\) | −7.00609 | − | 26.7398i | −0.240732 | − | 0.918790i | ||||
\(848\) | −3.52543 | − | 3.52543i | −0.121064 | − | 0.121064i | ||||
\(849\) | 2.97899 | − | 1.71992i | 0.102239 | − | 0.0590276i | ||||
\(850\) | −9.25570 | − | 31.4677i | −0.317468 | − | 1.07933i | ||||
\(851\) | −7.06707 | + | 12.2405i | −0.242256 | + | 0.419600i | ||||
\(852\) | 4.86945 | − | 18.1730i | 0.166825 | − | 0.622598i | ||||
\(853\) | −17.1451 | + | 17.1451i | −0.587036 | + | 0.587036i | −0.936828 | − | 0.349791i | \(-0.886252\pi\) |
0.349791 | + | 0.936828i | \(0.386252\pi\) | |||||||
\(854\) | −16.0690 | − | 0.0891766i | −0.549869 | − | 0.00305156i | ||||
\(855\) | −2.69995 | − | 6.30091i | −0.0923363 | − | 0.215487i | ||||
\(856\) | 3.32024 | + | 5.75083i | 0.113484 | + | 0.196559i | ||||
\(857\) | 16.2677 | − | 4.35890i | 0.555692 | − | 0.148897i | 0.0299658 | − | 0.999551i | \(-0.490460\pi\) |
0.525727 | + | 0.850654i | \(0.323794\pi\) | |||||||
\(858\) | −2.45056 | + | 0.656625i | −0.0836607 | + | 0.0224168i | ||||
\(859\) | 15.4345 | + | 26.7333i | 0.526619 | + | 0.912130i | 0.999519 | + | 0.0310142i | \(0.00987370\pi\) |
−0.472900 | + | 0.881116i | \(0.656793\pi\) | |||||||
\(860\) | 1.87456 | − | 4.68558i | 0.0639218 | − | 0.159777i | ||||
\(861\) | 2.54115 | + | 0.0141024i | 0.0866023 | + | 0.000480610i | ||||
\(862\) | −9.38356 | + | 9.38356i | −0.319605 | + | 0.319605i | ||||
\(863\) | −0.334691 | + | 1.24908i | −0.0113930 | + | 0.0425193i | −0.971388 | − | 0.237497i | \(-0.923673\pi\) |
0.959995 | + | 0.280016i | \(0.0903398\pi\) | |||||||
\(864\) | −2.71352 | + | 4.69996i | −0.0923160 | + | 0.159896i | ||||
\(865\) | −13.0081 | − | 16.5332i | −0.442289 | − | 0.562147i | ||||
\(866\) | −14.7624 | + | 8.52308i | −0.501647 | + | 0.289626i | ||||
\(867\) | 21.6244 | + | 21.6244i | 0.734404 | + | 0.734404i | ||||
\(868\) | −2.29510 | − | 8.75960i | −0.0779008 | − | 0.297320i | ||||
\(869\) | − | 4.89152i | − | 0.165934i | ||||||
\(870\) | −20.3809 | − | 15.2496i | −0.690979 | − | 0.517009i | ||||
\(871\) | −34.4645 | − | 19.8981i | −1.16778 | − | 0.674221i | ||||
\(872\) | −2.31914 | − | 8.65516i | −0.0785361 | − | 0.293101i | ||||
\(873\) | 7.00950 | + | 1.87819i | 0.237236 | + | 0.0635671i | ||||
\(874\) | −10.0117 | −0.338649 | ||||||||
\(875\) | −17.2750 | + | 24.0120i | −0.584001 | + | 0.811753i | ||||
\(876\) | 10.3961 | 0.351251 | ||||||||
\(877\) | −9.37406 | − | 2.51177i | −0.316540 | − | 0.0848165i | 0.0970513 | − | 0.995279i | \(-0.469059\pi\) |
−0.413591 | + | 0.910463i | \(0.635726\pi\) | |||||||
\(878\) | −9.07099 | − | 33.8534i | −0.306131 | − | 1.14250i | ||||
\(879\) | 15.5189 | + | 8.95985i | 0.523440 | + | 0.302208i | ||||
\(880\) | 1.33038 | + | 0.995425i | 0.0448471 | + | 0.0335558i | ||||
\(881\) | 18.3500i | 0.618227i | 0.951025 | + | 0.309113i | \(0.100032\pi\) | ||||
−0.951025 | + | 0.309113i | \(0.899968\pi\) | |||||||
\(882\) | 10.9222 | + | 3.05693i | 0.367771 | + | 0.102932i | ||||
\(883\) | 23.7527 | + | 23.7527i | 0.799342 | + | 0.799342i | 0.982992 | − | 0.183650i | \(-0.0587913\pi\) |
−0.183650 | + | 0.982992i | \(0.558791\pi\) | |||||||
\(884\) | −16.5135 | + | 9.53406i | −0.555408 | + | 0.320665i | ||||
\(885\) | 4.14102 | + | 5.26320i | 0.139199 | + | 0.176921i | ||||
\(886\) | −0.0315340 | + | 0.0546184i | −0.00105940 | + | 0.00183494i | ||||
\(887\) | 10.0547 | − | 37.5247i | 0.337604 | − | 1.25996i | −0.563414 | − | 0.826175i | \(-0.690512\pi\) |
0.901018 | − | 0.433781i | \(-0.142821\pi\) | |||||||
\(888\) | −2.21859 | + | 2.21859i | −0.0744511 | + | 0.0744511i | ||||
\(889\) | 36.3503 | − | 20.7187i | 1.21915 | − | 0.694884i | ||||
\(890\) | 5.01010 | − | 12.5231i | 0.167939 | − | 0.419775i | ||||
\(891\) | −0.562452 | − | 0.974195i | −0.0188429 | − | 0.0326368i | ||||
\(892\) | −4.28599 | + | 1.14843i | −0.143506 | + | 0.0384522i | ||||
\(893\) | 8.60721 | − | 2.30629i | 0.288029 | − | 0.0771772i | ||||
\(894\) | 2.31538 | + | 4.01035i | 0.0774378 | + | 0.134126i | ||||
\(895\) | −3.96097 | − | 9.24379i | −0.132401 | − | 0.308986i | ||||
\(896\) | 1.33557 | − | 2.28391i | 0.0446183 | − | 0.0763001i | ||||
\(897\) | −12.7746 | + | 12.7746i | −0.426532 | + | 0.426532i | ||||
\(898\) | −6.34642 | + | 23.6851i | −0.211783 | + | 0.790384i | ||||
\(899\) | 16.5847 | − | 28.7255i | 0.553130 | − | 0.958049i | ||||
\(900\) | 2.28605 | + | 7.77217i | 0.0762018 | + | 0.259072i | ||||
\(901\) | 28.3251 | − | 16.3535i | 0.943644 | − | 0.544813i | ||||
\(902\) | −0.429644 | − | 0.429644i | −0.0143056 | − | 0.0143056i | ||||
\(903\) | 4.98705 | − | 4.93201i | 0.165959 | − | 0.164127i | ||||
\(904\) | 0.435281i | 0.0144772i | ||||||||
\(905\) | 23.9589 | − | 32.0209i | 0.796421 | − | 1.06441i | ||||
\(906\) | 20.2893 | + | 11.7140i | 0.674067 | + | 0.389173i | ||||
\(907\) | 8.97748 | + | 33.5044i | 0.298092 | + | 1.11250i | 0.938730 | + | 0.344653i | \(0.112003\pi\) |
−0.640638 | + | 0.767843i | \(0.721330\pi\) | |||||||
\(908\) | 0.648012 | + | 0.173634i | 0.0215050 | + | 0.00576226i | ||||
\(909\) | 18.1174 | 0.600916 | ||||||||
\(910\) | 15.9301 | + | 6.47591i | 0.528077 | + | 0.214674i | ||||
\(911\) | 48.1523 | 1.59536 | 0.797678 | − | 0.603083i | \(-0.206061\pi\) | ||||
0.797678 | + | 0.603083i | \(0.206061\pi\) | |||||||
\(912\) | −2.14671 | − | 0.575209i | −0.0710846 | − | 0.0190471i | ||||
\(913\) | 2.51182 | + | 9.37422i | 0.0831290 | + | 0.310242i | ||||
\(914\) | −17.3839 | − | 10.0366i | −0.575007 | − | 0.331980i | ||||
\(915\) | −2.27395 | − | 15.7895i | −0.0751744 | − | 0.521985i | ||||
\(916\) | − | 13.2033i | − | 0.436250i | ||||||
\(917\) | 24.5515 | − | 6.43273i | 0.810761 | − | 0.212428i | ||||
\(918\) | −25.1745 | − | 25.1745i | −0.830884 | − | 0.830884i | ||||
\(919\) | 15.4242 | − | 8.90515i | 0.508797 | − | 0.293754i | −0.223542 | − | 0.974694i | \(-0.571762\pi\) |
0.732339 | + | 0.680940i | \(0.238429\pi\) | |||||||
\(920\) | 11.7486 | + | 1.40194i | 0.387341 | + | 0.0462206i | ||||
\(921\) | 5.72435 | − | 9.91487i | 0.188624 | − | 0.326706i | ||||
\(922\) | −3.02662 | + | 11.2955i | −0.0996763 | + | 0.371997i | ||||
\(923\) | −32.9206 | + | 32.9206i | −1.08360 | + | 1.08360i | ||||
\(924\) | 1.14352 | + | 2.00627i | 0.0376191 | + | 0.0660013i | ||||
\(925\) | 0.324064 | + | 13.3518i | 0.0106552 | + | 0.439004i | ||||
\(926\) | 1.96028 | + | 3.39531i | 0.0644188 | + | 0.111577i | ||||
\(927\) | 3.79713 | − | 1.01744i | 0.124714 | − | 0.0334171i | ||||
\(928\) | 9.36112 | − | 2.50831i | 0.307294 | − | 0.0823392i | ||||
\(929\) | 16.1326 | + | 27.9424i | 0.529292 | + | 0.916761i | 0.999416 | + | 0.0341607i | \(0.0108758\pi\) |
−0.470124 | + | 0.882600i | \(0.655791\pi\) | |||||||
\(930\) | 8.26282 | − | 3.54063i | 0.270949 | − | 0.116102i | ||||
\(931\) | −0.146998 | + | 13.2436i | −0.00481766 | + | 0.434040i | ||||
\(932\) | −6.12279 | + | 6.12279i | −0.200559 | + | 0.200559i | ||||
\(933\) | 0.0383114 | − | 0.142980i | 0.00125426 | − | 0.00468096i | ||||
\(934\) | −10.4604 | + | 18.1180i | −0.342276 | + | 0.592839i | ||||
\(935\) | −8.56645 | + | 6.73996i | −0.280153 | + | 0.220420i | ||||
\(936\) | 4.07864 | − | 2.35481i | 0.133315 | − | 0.0769692i | ||||
\(937\) | −28.9650 | − | 28.9650i | −0.946244 | − | 0.946244i | 0.0523829 | − | 0.998627i | \(-0.483318\pi\) |
−0.998627 | + | 0.0523829i | \(0.983318\pi\) | |||||||
\(938\) | −9.56947 | + | 34.9370i | −0.312454 | + | 1.14073i | ||||
\(939\) | − | 13.7359i | − | 0.448254i | ||||||
\(940\) | −10.4235 | + | 1.50115i | −0.339976 | + | 0.0489621i | ||||
\(941\) | 30.8629 | + | 17.8187i | 1.00610 | + | 0.580874i | 0.910048 | − | 0.414502i | \(-0.136044\pi\) |
0.0960550 | + | 0.995376i | \(0.469378\pi\) | |||||||
\(942\) | −2.26895 | − | 8.46784i | −0.0739264 | − | 0.275897i | ||||
\(943\) | −4.17936 | − | 1.11985i | −0.136099 | − | 0.0364675i | ||||
\(944\) | −2.54975 | −0.0829873 | ||||||||
\(945\) | −3.98112 | + | 31.8591i | −0.129506 | + | 1.03638i | ||||
\(946\) | −1.67706 | −0.0545259 | ||||||||
\(947\) | −13.4783 | − | 3.61149i | −0.437985 | − | 0.117358i | 0.0330871 | − | 0.999452i | \(-0.489466\pi\) |
−0.471072 | + | 0.882095i | \(0.656133\pi\) | |||||||
\(948\) | −2.00127 | − | 7.46883i | −0.0649982 | − | 0.242576i | ||||
\(949\) | −22.2792 | − | 12.8629i | −0.723214 | − | 0.417548i | ||||
\(950\) | −8.07565 | + | 4.92753i | −0.262009 | + | 0.159870i | ||||
\(951\) | 12.8576i | 0.416935i | ||||||||
\(952\) | 12.2046 | + | 12.3408i | 0.395553 | + | 0.399968i | ||||
\(953\) | 25.4475 | + | 25.4475i | 0.824326 | + | 0.824326i | 0.986725 | − | 0.162399i | \(-0.0519232\pi\) |
−0.162399 | + | 0.986725i | \(0.551923\pi\) | |||||||
\(954\) | −6.99597 | + | 4.03912i | −0.226503 | + | 0.130771i | ||||
\(955\) | 0.735353 | − | 6.16245i | 0.0237955 | − | 0.199412i | ||||
\(956\) | 2.00147 | − | 3.46665i | 0.0647322 | − | 0.112120i | ||||
\(957\) | −2.18931 | + | 8.17061i | −0.0707703 | + | 0.264118i | ||||
\(958\) | 17.1712 | − | 17.1712i | 0.554775 | − | 0.554775i | ||||
\(959\) | 0.136689 | − | 24.6304i | 0.00441392 | − | 0.795356i | ||||
\(960\) | 2.43860 | + | 0.975610i | 0.0787056 | + | 0.0314877i | ||||
\(961\) | −9.64300 | − | 16.7022i | −0.311064 | − | 0.538779i | ||||
\(962\) | 7.49956 | − | 2.00950i | 0.241796 | − | 0.0647889i | ||||
\(963\) | 10.3928 | − | 2.78475i | 0.334904 | − | 0.0897373i | ||||
\(964\) | −8.66256 | − | 15.0040i | −0.279002 | − | 0.483246i | ||||
\(965\) | −10.6712 | − | 4.26922i | −0.343518 | − | 0.137431i | ||||
\(966\) | 14.1954 | + | 8.30108i | 0.456729 | + | 0.267083i | ||||
\(967\) | −34.0735 | + | 34.0735i | −1.09573 | + | 1.09573i | −0.100827 | + | 0.994904i | \(0.532149\pi\) |
−0.994904 | + | 0.100827i | \(0.967851\pi\) | |||||||
\(968\) | −2.70410 | + | 10.0918i | −0.0869131 | + | 0.324364i | ||||
\(969\) | 7.28974 | − | 12.6262i | 0.234180 | − | 0.405612i | ||||
\(970\) | 1.18662 | − | 9.94416i | 0.0381000 | − | 0.319288i | ||||
\(971\) | 4.07547 | − | 2.35297i | 0.130788 | − | 0.0755105i | −0.433179 | − | 0.901308i | \(-0.642608\pi\) |
0.563966 | + | 0.825798i | \(0.309275\pi\) | |||||||
\(972\) | 10.2551 | + | 10.2551i | 0.328934 | + | 0.328934i | ||||
\(973\) | 56.5762 | + | 15.4966i | 1.81375 | + | 0.496797i | ||||
\(974\) | 2.55599i | 0.0818993i | ||||||||
\(975\) | −4.01692 | + | 16.5917i | −0.128644 | + | 0.531361i | ||||
\(976\) | 5.25989 | + | 3.03680i | 0.168365 | + | 0.0972055i | ||||
\(977\) | −7.12351 | − | 26.5853i | −0.227901 | − | 0.850540i | −0.981221 | − | 0.192885i | \(-0.938215\pi\) |
0.753320 | − | 0.657654i | \(-0.228451\pi\) | |||||||
\(978\) | 13.8041 | + | 3.69879i | 0.441405 | + | 0.118274i | ||||
\(979\) | −4.48226 | −0.143254 | ||||||||
\(980\) | 2.02701 | − | 15.5207i | 0.0647504 | − | 0.495790i | ||||
\(981\) | −14.5185 | −0.463539 | ||||||||
\(982\) | 14.0704 | + | 3.77017i | 0.449006 | + | 0.120311i | ||||
\(983\) | 11.6256 | + | 43.3874i | 0.370799 | + | 1.38384i | 0.859386 | + | 0.511327i | \(0.170846\pi\) |
−0.488587 | + | 0.872515i | \(0.662487\pi\) | |||||||
\(984\) | −0.831801 | − | 0.480241i | −0.0265168 | − | 0.0153095i | ||||
\(985\) | −4.19554 | + | 0.604226i | −0.133681 | + | 0.0192522i | ||||
\(986\) | 63.5766i | 2.02469i | ||||||||
\(987\) | −14.1163 | − | 3.86654i | −0.449326 | − | 0.123073i | ||||
\(988\) | 3.88878 | + | 3.88878i | 0.123719 | + | 0.123719i | ||||
\(989\) | −10.3424 | + | 5.97118i | −0.328869 | + | 0.189872i | ||||
\(990\) | 2.11582 | − | 1.66470i | 0.0672451 | − | 0.0529075i | ||||
\(991\) | 3.08498 | − | 5.34334i | 0.0979975 | − | 0.169737i | −0.812858 | − | 0.582462i | \(-0.802090\pi\) |
0.910856 | + | 0.412725i | \(0.135423\pi\) | |||||||
\(992\) | −0.885827 | + | 3.30595i | −0.0281250 | + | 0.104964i | ||||
\(993\) | −4.53527 | + | 4.53527i | −0.143922 | + | 0.143922i | ||||
\(994\) | 36.5820 | + | 21.3922i | 1.16031 | + | 0.678519i | ||||
\(995\) | 29.8083 | − | 12.7729i | 0.944985 | − | 0.404927i | ||||
\(996\) | 7.67055 | + | 13.2858i | 0.243051 | + | 0.420976i | ||||
\(997\) | 18.1820 | − | 4.87184i | 0.575829 | − | 0.154293i | 0.0408602 | − | 0.999165i | \(-0.486990\pi\) |
0.534968 | + | 0.844872i | \(0.320324\pi\) | |||||||
\(998\) | 29.0623 | − | 7.78721i | 0.919950 | − | 0.246500i | ||||
\(999\) | 7.24821 | + | 12.5543i | 0.229323 | + | 0.397199i |
(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 | 70.2.k.a.3.4 | ✓ | 16 | |
3.2 | odd | 2 | 630.2.bv.c.73.2 | 16 | |||
4.3 | odd | 2 | 560.2.ci.c.353.2 | 16 | |||
5.2 | odd | 4 | inner | 70.2.k.a.17.2 | yes | 16 | |
5.3 | odd | 4 | 350.2.o.c.157.3 | 16 | |||
5.4 | even | 2 | 350.2.o.c.143.1 | 16 | |||
7.2 | even | 3 | 490.2.l.c.313.1 | 16 | |||
7.3 | odd | 6 | 490.2.g.c.293.2 | 16 | |||
7.4 | even | 3 | 490.2.g.c.293.3 | 16 | |||
7.5 | odd | 6 | inner | 70.2.k.a.33.2 | yes | 16 | |
7.6 | odd | 2 | 490.2.l.c.423.3 | 16 | |||
15.2 | even | 4 | 630.2.bv.c.577.3 | 16 | |||
20.7 | even | 4 | 560.2.ci.c.17.2 | 16 | |||
21.5 | even | 6 | 630.2.bv.c.523.3 | 16 | |||
28.19 | even | 6 | 560.2.ci.c.33.2 | 16 | |||
35.2 | odd | 12 | 490.2.l.c.117.3 | 16 | |||
35.12 | even | 12 | inner | 70.2.k.a.47.4 | yes | 16 | |
35.17 | even | 12 | 490.2.g.c.97.3 | 16 | |||
35.19 | odd | 6 | 350.2.o.c.243.3 | 16 | |||
35.27 | even | 4 | 490.2.l.c.227.1 | 16 | |||
35.32 | odd | 12 | 490.2.g.c.97.2 | 16 | |||
35.33 | even | 12 | 350.2.o.c.257.1 | 16 | |||
105.47 | odd | 12 | 630.2.bv.c.397.2 | 16 | |||
140.47 | odd | 12 | 560.2.ci.c.257.2 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
70.2.k.a.3.4 | ✓ | 16 | 1.1 | even | 1 | trivial | |
70.2.k.a.17.2 | yes | 16 | 5.2 | odd | 4 | inner | |
70.2.k.a.33.2 | yes | 16 | 7.5 | odd | 6 | inner | |
70.2.k.a.47.4 | yes | 16 | 35.12 | even | 12 | inner | |
350.2.o.c.143.1 | 16 | 5.4 | even | 2 | |||
350.2.o.c.157.3 | 16 | 5.3 | odd | 4 | |||
350.2.o.c.243.3 | 16 | 35.19 | odd | 6 | |||
350.2.o.c.257.1 | 16 | 35.33 | even | 12 | |||
490.2.g.c.97.2 | 16 | 35.32 | odd | 12 | |||
490.2.g.c.97.3 | 16 | 35.17 | even | 12 | |||
490.2.g.c.293.2 | 16 | 7.3 | odd | 6 | |||
490.2.g.c.293.3 | 16 | 7.4 | even | 3 | |||
490.2.l.c.117.3 | 16 | 35.2 | odd | 12 | |||
490.2.l.c.227.1 | 16 | 35.27 | even | 4 | |||
490.2.l.c.313.1 | 16 | 7.2 | even | 3 | |||
490.2.l.c.423.3 | 16 | 7.6 | odd | 2 | |||
560.2.ci.c.17.2 | 16 | 20.7 | even | 4 | |||
560.2.ci.c.33.2 | 16 | 28.19 | even | 6 | |||
560.2.ci.c.257.2 | 16 | 140.47 | odd | 12 | |||
560.2.ci.c.353.2 | 16 | 4.3 | odd | 2 | |||
630.2.bv.c.73.2 | 16 | 3.2 | odd | 2 | |||
630.2.bv.c.397.2 | 16 | 105.47 | odd | 12 | |||
630.2.bv.c.523.3 | 16 | 21.5 | even | 6 | |||
630.2.bv.c.577.3 | 16 | 15.2 | even | 4 |