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 | 33.2 | ||
Root | \(1.45333 + 1.51725i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 70.33 |
Dual form | 70.2.k.a.17.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/70\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(57\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.258819 | − | 0.965926i | −0.183013 | − | 0.683013i | ||||
\(3\) | 1.13459 | + | 0.304013i | 0.655056 | + | 0.175522i | 0.571014 | − | 0.820940i | \(-0.306550\pi\) |
0.0840425 | + | 0.996462i | \(0.473217\pi\) | |||||||
\(4\) | −0.866025 | + | 0.500000i | −0.433013 | + | 0.250000i | ||||
\(5\) | 0.264946 | − | 2.22032i | 0.118487 | − | 0.992956i | ||||
\(6\) | − | 1.17462i | − | 0.479535i | ||||||
\(7\) | 0.698943 | + | 2.55176i | 0.264175 | + | 0.964475i | ||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | −1.40320 | − | 0.810140i | −0.467734 | − | 0.270047i | ||||
\(10\) | −2.21323 | + | 0.318742i | −0.699886 | + | 0.100795i | ||||
\(11\) | −0.371536 | − | 0.643519i | −0.112022 | − | 0.194028i | 0.804563 | − | 0.593867i | \(-0.202399\pi\) |
−0.916586 | + | 0.399839i | \(0.869066\pi\) | |||||||
\(12\) | −1.13459 | + | 0.304013i | −0.327528 | + | 0.0877609i | ||||
\(13\) | −2.05532 | + | 2.05532i | −0.570044 | + | 0.570044i | −0.932141 | − | 0.362097i | \(-0.882061\pi\) |
0.362097 | + | 0.932141i | \(0.382061\pi\) | |||||||
\(14\) | 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 | ||||
\(17\) | −1.69789 | + | 6.33660i | −0.411798 | + | 1.53685i | 0.379365 | + | 0.925247i | \(0.376143\pi\) |
−0.791163 | + | 0.611605i | \(0.790524\pi\) | |||||||
\(18\) | −0.419359 | + | 1.56507i | −0.0988439 | + | 0.368890i | ||||
\(19\) | −0.946027 | + | 1.63857i | −0.217033 | + | 0.375913i | −0.953900 | − | 0.300126i | \(-0.902971\pi\) |
0.736866 | + | 0.676039i | \(0.236305\pi\) | |||||||
\(20\) | 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 | ||||
\(23\) | 5.11112 | − | 1.36952i | 1.06574 | − | 0.285565i | 0.317000 | − | 0.948426i | \(-0.397325\pi\) |
0.748743 | + | 0.662861i | \(0.230658\pi\) | |||||||
\(24\) | 0.587308 | + | 1.01725i | 0.119884 | + | 0.207645i | ||||
\(25\) | −4.85961 | − | 1.17653i | −0.971921 | − | 0.235306i | ||||
\(26\) | 2.51725 | + | 1.45333i | 0.493673 | + | 0.285022i | ||||
\(27\) | −3.83750 | − | 3.83750i | −0.738528 | − | 0.738528i | ||||
\(28\) | −1.88118 | − | 1.86042i | −0.355510 | − | 0.351586i | ||||
\(29\) | − | 9.69135i | − | 1.79964i | −0.436263 | − | 0.899819i | \(-0.643698\pi\) | ||
0.436263 | − | 0.899819i | \(-0.356302\pi\) | |||||||
\(30\) | −2.60802 | − | 0.311210i | −0.476157 | − | 0.0568188i | ||||
\(31\) | 2.96403 | − | 1.71129i | 0.532356 | − | 0.307356i | −0.209619 | − | 0.977783i | \(-0.567222\pi\) |
0.741975 | + | 0.670427i | \(0.233889\pi\) | |||||||
\(32\) | −0.965926 | − | 0.258819i | −0.170753 | − | 0.0457532i | ||||
\(33\) | −0.225903 | − | 0.843083i | −0.0393247 | − | 0.146762i | ||||
\(34\) | 6.56014 | 1.12505 | ||||||||
\(35\) | 5.85090 | − | 0.875795i | 0.988982 | − | 0.148036i | ||||
\(36\) | 1.62028 | 0.270047 | ||||||||
\(37\) | −0.691342 | − | 2.58012i | −0.113656 | − | 0.424170i | 0.885527 | − | 0.464588i | \(-0.153798\pi\) |
−0.999183 | + | 0.0404183i | \(0.987131\pi\) | |||||||
\(38\) | 1.82758 | + | 0.489700i | 0.296473 | + | 0.0794398i | ||||
\(39\) | −2.95680 | + | 1.70711i | −0.473466 | + | 0.273356i | ||||
\(40\) | 1.75735 | − | 1.38266i | 0.277861 | − | 0.218617i | ||||
\(41\) | − | 0.817699i | − | 0.127703i | −0.997959 | − | 0.0638515i | \(-0.979662\pi\) | ||
0.997959 | − | 0.0638515i | \(-0.0203384\pi\) | |||||||
\(42\) | 2.99734 | − | 0.820989i | 0.462499 | − | 0.126681i | ||||
\(43\) | 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 | ||||
\(45\) | −2.17054 | + | 2.90091i | −0.323565 | + | 0.432442i | ||||
\(46\) | −2.64571 | − | 4.58251i | −0.390089 | − | 0.675654i | ||||
\(47\) | 4.54913 | − | 1.21894i | 0.663560 | − | 0.177800i | 0.0887076 | − | 0.996058i | \(-0.471726\pi\) |
0.574852 | + | 0.818257i | \(0.305060\pi\) | |||||||
\(48\) | 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 | ||||
\(52\) | 0.752300 | − | 2.80762i | 0.104325 | − | 0.389347i | ||||
\(53\) | 1.29040 | − | 4.81583i | 0.177250 | − | 0.661505i | −0.818908 | − | 0.573925i | \(-0.805420\pi\) |
0.996158 | − | 0.0875798i | \(-0.0279133\pi\) | |||||||
\(54\) | −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 | ||||
\(58\) | −9.36112 | + | 2.50831i | −1.22918 | + | 0.329357i | ||||
\(59\) | 1.27487 | + | 2.20815i | 0.165975 | + | 0.287476i | 0.937001 | − | 0.349327i | \(-0.113590\pi\) |
−0.771026 | + | 0.636803i | \(0.780256\pi\) | |||||||
\(60\) | 0.374399 | + | 2.59970i | 0.0483347 | + | 0.335620i | ||||
\(61\) | 5.25989 | + | 3.03680i | 0.673460 | + | 0.388822i | 0.797386 | − | 0.603469i | \(-0.206215\pi\) |
−0.123927 | + | 0.992291i | \(0.539549\pi\) | |||||||
\(62\) | −2.42012 | − | 2.42012i | −0.307356 | − | 0.307356i | ||||
\(63\) | 1.08652 | − | 4.14688i | 0.136889 | − | 0.522458i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | 4.01892 | + | 5.10802i | 0.498485 | + | 0.633572i | ||||
\(66\) | −0.755887 | + | 0.436412i | −0.0930433 | + | 0.0537186i | ||||
\(67\) | 13.2248 | + | 3.54358i | 1.61567 | + | 0.432917i | 0.949725 | − | 0.313084i | \(-0.101362\pi\) |
0.665944 | + | 0.746002i | \(0.268029\pi\) | |||||||
\(68\) | −1.69789 | − | 6.33660i | −0.205899 | − | 0.768426i | ||||
\(69\) | 6.21538 | 0.748244 | ||||||||
\(70\) | −2.36028 | − | 5.42486i | −0.282107 | − | 0.648395i | ||||
\(71\) | −16.0173 | −1.90090 | −0.950450 | − | 0.310879i | \(-0.899377\pi\) | ||||
−0.950450 | + | 0.310879i | \(0.899377\pi\) | |||||||
\(72\) | −0.419359 | − | 1.56507i | −0.0494220 | − | 0.184445i | ||||
\(73\) | −8.54906 | − | 2.29071i | −1.00059 | − | 0.268108i | −0.278898 | − | 0.960321i | \(-0.589969\pi\) |
−0.721693 | + | 0.692213i | \(0.756636\pi\) | |||||||
\(74\) | −2.31328 | + | 1.33557i | −0.268913 | + | 0.155257i | ||||
\(75\) | −5.15599 | − | 2.81226i | −0.595362 | − | 0.324732i | ||||
\(76\) | − | 1.89205i | − | 0.217033i | ||||||
\(77\) | 1.38242 | − | 1.39785i | 0.157542 | − | 0.159300i | ||||
\(78\) | 2.41421 | + | 2.41421i | 0.273356 | + | 0.273356i | ||||
\(79\) | 5.70091 | + | 3.29142i | 0.641402 | + | 0.370314i | 0.785155 | − | 0.619300i | \(-0.212583\pi\) |
−0.143752 | + | 0.989614i | \(0.545917\pi\) | |||||||
\(80\) | −1.79038 | − | 1.33961i | −0.200170 | − | 0.149773i | ||||
\(81\) | −0.756928 | − | 1.31104i | −0.0841031 | − | 0.145671i | ||||
\(82\) | −0.789836 | + | 0.211636i | −0.0872228 | + | 0.0233713i | ||||
\(83\) | −9.23519 | + | 9.23519i | −1.01369 | + | 1.01369i | −0.0137887 | + | 0.999905i | \(0.504389\pi\) |
−0.999905 | + | 0.0137887i | \(0.995611\pi\) | |||||||
\(84\) | −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 | ||||
\(87\) | 2.94629 | − | 10.9957i | 0.315876 | − | 1.17886i | ||||
\(88\) | 0.192321 | − | 0.717752i | 0.0205015 | − | 0.0765127i | ||||
\(89\) | −3.01603 | + | 5.22392i | −0.319699 | + | 0.553735i | −0.980425 | − | 0.196892i | \(-0.936915\pi\) |
0.660726 | + | 0.750627i | \(0.270248\pi\) | |||||||
\(90\) | 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 | ||||
\(93\) | 3.88322 | − | 1.04051i | 0.402671 | − | 0.107895i | ||||
\(94\) | −2.35481 | − | 4.07864i | −0.242880 | − | 0.420680i | ||||
\(95\) | 3.38749 | + | 2.53461i | 0.347549 | + | 0.260046i | ||||
\(96\) | −1.01725 | − | 0.587308i | −0.103822 | − | 0.0599418i | ||||
\(97\) | −3.16693 | − | 3.16693i | −0.321553 | − | 0.321553i | 0.527810 | − | 0.849363i | \(-0.323013\pi\) |
−0.849363 | + | 0.527810i | \(0.823013\pi\) | |||||||
\(98\) | 5.00438 | + | 4.89451i | 0.505519 | + | 0.494420i | ||||
\(99\) | 1.20398i | 0.121005i | ||||||||
\(100\) | 4.79681 | − | 1.41090i | 0.479681 | − | 0.141090i | ||||
\(101\) | 9.68359 | − | 5.59083i | 0.963554 | − | 0.556308i | 0.0662887 | − | 0.997800i | \(-0.478884\pi\) |
0.897265 | + | 0.441493i | \(0.145551\pi\) | |||||||
\(102\) | 7.44307 | + | 1.99437i | 0.736974 | + | 0.197472i | ||||
\(103\) | 0.627940 | + | 2.34351i | 0.0618728 | + | 0.230912i | 0.989937 | − | 0.141507i | \(-0.0451949\pi\) |
−0.928064 | + | 0.372420i | \(0.878528\pi\) | |||||||
\(104\) | −2.90667 | −0.285022 | ||||||||
\(105\) | 6.90463 | + | 0.785078i | 0.673823 | + | 0.0766157i | ||||
\(106\) | −4.98571 | −0.484255 | ||||||||
\(107\) | −1.71868 | − | 6.41422i | −0.166151 | − | 0.620086i | −0.997891 | − | 0.0649189i | \(-0.979321\pi\) |
0.831739 | − | 0.555167i | \(-0.187346\pi\) | |||||||
\(108\) | 5.24213 | + | 1.40462i | 0.504424 | + | 0.135160i | ||||
\(109\) | 7.76000 | − | 4.48024i | 0.743274 | − | 0.429129i | −0.0799848 | − | 0.996796i | \(-0.525487\pi\) |
0.823258 | + | 0.567667i | \(0.192154\pi\) | |||||||
\(110\) | 1.02741 | + | 1.30583i | 0.0979599 | + | 0.124506i | ||||
\(111\) | − | 3.13756i | − | 0.297804i | ||||||
\(112\) | 2.55936 | + | 0.670578i | 0.241837 | + | 0.0633637i | ||||
\(113\) | 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 | ||||
\(115\) | −1.68660 | − | 11.7112i | −0.157276 | − | 1.09207i | ||||
\(116\) | 4.84567 | + | 8.39295i | 0.449910 | + | 0.779266i | ||||
\(117\) | 4.54913 | − | 1.21894i | 0.420568 | − | 0.112691i | ||||
\(118\) | 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 | ||||
\(122\) | 1.57196 | − | 5.86664i | 0.142319 | − | 0.531141i | ||||
\(123\) | 0.248591 | − | 0.927753i | 0.0224147 | − | 0.0836527i | ||||
\(124\) | −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 | \(0.497548\pi\) | |||||||
\(128\) | 0.965926 | − | 0.258819i | 0.0853766 | − | 0.0228766i | ||||
\(129\) | 1.32551 | + | 2.29585i | 0.116705 | + | 0.202139i | ||||
\(130\) | 3.89379 | − | 5.20403i | 0.341508 | − | 0.456423i | ||||
\(131\) | −8.30763 | − | 4.79641i | −0.725841 | − | 0.419064i | 0.0910579 | − | 0.995846i | \(-0.470975\pi\) |
−0.816899 | + | 0.576781i | \(0.804308\pi\) | |||||||
\(132\) | 0.617179 | + | 0.617179i | 0.0537186 | + | 0.0537186i | ||||
\(133\) | −4.84245 | − | 1.26877i | −0.419893 | − | 0.110016i | ||||
\(134\) | − | 13.6913i | − | 1.18275i | ||||||
\(135\) | −9.53720 | + | 7.50374i | −0.820832 | + | 0.645819i | ||||
\(136\) | −5.68124 | + | 3.28007i | −0.487163 | + | 0.281264i | ||||
\(137\) | −8.99233 | − | 2.40949i | −0.768267 | − | 0.205856i | −0.146661 | − | 0.989187i | \(-0.546853\pi\) |
−0.621606 | + | 0.783330i | \(0.713519\pi\) | |||||||
\(138\) | −1.60866 | − | 6.00360i | −0.136938 | − | 0.511060i | ||||
\(139\) | 22.1714 | 1.88056 | 0.940278 | − | 0.340408i | \(-0.110565\pi\) | ||||
0.940278 | + | 0.340408i | \(0.110565\pi\) | |||||||
\(140\) | −4.62913 | + | 3.68391i | −0.391233 | + | 0.311347i | ||||
\(141\) | 5.53198 | 0.465877 | ||||||||
\(142\) | 4.14557 | + | 15.4715i | 0.347889 | + | 1.29834i | ||||
\(143\) | 2.08627 | + | 0.559013i | 0.174462 | + | 0.0467470i | ||||
\(144\) | −1.40320 | + | 0.810140i | −0.116934 | + | 0.0675116i | ||||
\(145\) | −21.5179 | − | 2.56768i | −1.78696 | − | 0.213235i | ||||
\(146\) | 8.85064i | 0.732484i | ||||||||
\(147\) | −7.91803 | + | 2.21611i | −0.653068 | + | 0.182781i | ||||
\(148\) | 1.88878 | + | 1.88878i | 0.155257 | + | 0.155257i | ||||
\(149\) | −3.41418 | − | 1.97118i | −0.279701 | − | 0.161485i | 0.353587 | − | 0.935402i | \(-0.384962\pi\) |
−0.633288 | + | 0.773916i | \(0.718295\pi\) | |||||||
\(150\) | −1.38197 | + | 5.70817i | −0.112837 | + | 0.466070i | ||||
\(151\) | 9.97267 | + | 17.2732i | 0.811564 | + | 1.40567i | 0.911769 | + | 0.410703i | \(0.134717\pi\) |
−0.100205 | + | 0.994967i | \(0.531950\pi\) | |||||||
\(152\) | −1.82758 | + | 0.489700i | −0.148237 | + | 0.0397199i | ||||
\(153\) | 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 | ||||
\(157\) | −1.93165 | + | 7.20903i | −0.154163 | + | 0.575343i | 0.845013 | + | 0.534746i | \(0.179593\pi\) |
−0.999176 | + | 0.0405972i | \(0.987074\pi\) | |||||||
\(158\) | 1.70376 | − | 6.35854i | 0.135544 | − | 0.505858i | ||||
\(159\) | 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 | ||||
\(163\) | −11.7520 | + | 3.14893i | −0.920486 | + | 0.246644i | −0.687793 | − | 0.725907i | \(-0.741420\pi\) |
−0.232693 | + | 0.972550i | \(0.574754\pi\) | |||||||
\(164\) | 0.408849 | + | 0.708148i | 0.0319258 | + | 0.0552970i | ||||
\(165\) | −1.93176 | + | 0.278205i | −0.150387 | + | 0.0216583i | ||||
\(166\) | 11.3107 | + | 6.53026i | 0.877884 | + | 0.506847i | ||||
\(167\) | −1.45564 | − | 1.45564i | −0.112641 | − | 0.112641i | 0.648540 | − | 0.761181i | \(-0.275380\pi\) |
−0.761181 | + | 0.648540i | \(0.775380\pi\) | |||||||
\(168\) | −2.18527 | + | 2.20966i | −0.168598 | + | 0.170479i | ||||
\(169\) | 4.55129i | 0.350099i | ||||||||
\(170\) | 1.73808 | − | 14.5656i | 0.133305 | − | 1.11713i | ||||
\(171\) | 2.65494 | − | 1.53283i | 0.203028 | − | 0.117218i | ||||
\(172\) | −2.18003 | − | 0.584136i | −0.166225 | − | 0.0445400i | ||||
\(173\) | 2.43499 | + | 9.08750i | 0.185129 | + | 0.690910i | 0.994603 | + | 0.103754i | \(0.0330856\pi\) |
−0.809474 | + | 0.587155i | \(0.800248\pi\) | |||||||
\(174\) | −11.3836 | −0.862989 | ||||||||
\(175\) | −0.394370 | − | 13.2229i | −0.0298116 | − | 0.999556i | ||||
\(176\) | −0.743072 | −0.0560111 | ||||||||
\(177\) | 0.775156 | + | 2.89292i | 0.0582643 | + | 0.217445i | ||||
\(178\) | 5.82653 | + | 1.56121i | 0.436717 | + | 0.117018i | ||||
\(179\) | −3.89494 | + | 2.24874i | −0.291121 | + | 0.168079i | −0.638447 | − | 0.769665i | \(-0.720423\pi\) |
0.347326 | + | 0.937744i | \(0.387090\pi\) | |||||||
\(180\) | 0.429287 | − | 3.59753i | 0.0319971 | − | 0.268144i | ||||
\(181\) | − | 17.8850i | − | 1.32938i | −0.747118 | − | 0.664691i | \(-0.768563\pi\) | ||
0.747118 | − | 0.664691i | \(-0.231437\pi\) | |||||||
\(182\) | −1.94915 | + | 7.43921i | −0.144480 | + | 0.551431i | ||||
\(183\) | 5.04460 | + | 5.04460i | 0.372907 | + | 0.372907i | ||||
\(184\) | 4.58251 | + | 2.64571i | 0.337827 | + | 0.195044i | ||||
\(185\) | −5.91186 | + | 0.851405i | −0.434649 | + | 0.0625965i | ||||
\(186\) | −2.01010 | − | 3.48160i | −0.147388 | − | 0.255283i | ||||
\(187\) | 4.70855 | − | 1.26165i | 0.344323 | − | 0.0922612i | ||||
\(188\) | −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 | −0.811442 | − | 0.584433i | \(-0.801317\pi\) |
0.911855 | + | 0.410512i | \(0.134650\pi\) | |||||||
\(192\) | −0.304013 | + | 1.13459i | −0.0219402 | + | 0.0818821i | ||||
\(193\) | −1.33034 | + | 4.96491i | −0.0957602 | + | 0.357382i | −0.997134 | − | 0.0756607i | \(-0.975893\pi\) |
0.901373 | + | 0.433043i | \(0.142560\pi\) | |||||||
\(194\) | −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 | \(0.228488\pi\) | |||||||
\(198\) | 1.16296 | − | 0.311614i | 0.0826479 | − | 0.0221454i | ||||
\(199\) | 7.25148 | + | 12.5599i | 0.514043 | + | 0.890349i | 0.999867 | + | 0.0162926i | \(0.00518634\pi\) |
−0.485824 | + | 0.874057i | \(0.661480\pi\) | |||||||
\(200\) | −2.60433 | − | 4.26819i | −0.184154 | − | 0.301807i | ||||
\(201\) | 13.9275 | + | 8.04103i | 0.982368 | + | 0.567171i | ||||
\(202\) | −7.90662 | − | 7.90662i | −0.556308 | − | 0.556308i | ||||
\(203\) | 24.7300 | − | 6.77370i | 1.73571 | − | 0.475420i | ||||
\(204\) | − | 7.70563i | − | 0.539502i | ||||||
\(205\) | −1.81555 | − | 0.216646i | −0.126803 | − | 0.0151312i | ||||
\(206\) | 2.10113 | − | 1.21309i | 0.146393 | − | 0.0845198i | ||||
\(207\) | −8.28144 | − | 2.21901i | −0.575600 | − | 0.154232i | ||||
\(208\) | 0.752300 | + | 2.80762i | 0.0521627 | + | 0.194674i | ||||
\(209\) | 1.40593 | 0.0972504 | ||||||||
\(210\) | −1.02872 | − | 6.87255i | −0.0709886 | − | 0.474251i | ||||
\(211\) | 10.0324 | 0.690660 | 0.345330 | − | 0.938481i | \(-0.387767\pi\) | ||||
0.345330 | + | 0.938481i | \(0.387767\pi\) | |||||||
\(212\) | 1.29040 | + | 4.81583i | 0.0886249 | + | 0.330752i | ||||
\(213\) | −18.1730 | − | 4.86945i | −1.24520 | − | 0.333649i | ||||
\(214\) | −5.75083 | + | 3.32024i | −0.393119 | + | 0.226967i | ||||
\(215\) | 3.96620 | − | 3.12055i | 0.270493 | − | 0.212820i | ||||
\(216\) | − | 5.42705i | − | 0.369264i | ||||||
\(217\) | 6.43848 | + | 6.36741i | 0.437073 | + | 0.432248i | ||||
\(218\) | −6.33602 | − | 6.33602i | −0.429129 | − | 0.429129i | ||||
\(219\) | −9.00328 | − | 5.19804i | −0.608385 | − | 0.351251i | ||||
\(220\) | 0.995425 | − | 1.33038i | 0.0671115 | − | 0.0896941i | ||||
\(221\) | −9.53406 | − | 16.5135i | −0.641330 | − | 1.11082i | ||||
\(222\) | −3.03065 | + | 0.812061i | −0.203404 | + | 0.0545020i | ||||
\(223\) | 3.13756 | − | 3.13756i | 0.210107 | − | 0.210107i | −0.594206 | − | 0.804313i | \(-0.702534\pi\) |
0.804313 | + | 0.594206i | \(0.202534\pi\) | |||||||
\(224\) | −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 | ||||
\(227\) | 0.173634 | − | 0.648012i | 0.0115245 | − | 0.0430101i | −0.959924 | − | 0.280260i | \(-0.909579\pi\) |
0.971449 | + | 0.237250i | \(0.0762460\pi\) | |||||||
\(228\) | 0.575209 | − | 2.14671i | 0.0380941 | − | 0.142169i | ||||
\(229\) | 6.60166 | − | 11.4344i | 0.436250 | − | 0.755608i | −0.561146 | − | 0.827717i | \(-0.689640\pi\) |
0.997397 | + | 0.0721088i | \(0.0229729\pi\) | |||||||
\(230\) | −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 | ||||
\(233\) | 8.36389 | − | 2.24110i | 0.547937 | − | 0.146819i | 0.0257782 | − | 0.999668i | \(-0.491794\pi\) |
0.522158 | + | 0.852849i | \(0.325127\pi\) | |||||||
\(234\) | −2.35481 | − | 4.07864i | −0.153938 | − | 0.266629i | ||||
\(235\) | −1.50115 | − | 10.4235i | −0.0979243 | − | 0.679952i | ||||
\(236\) | −2.20815 | − | 1.27487i | −0.143738 | − | 0.0829873i | ||||
\(237\) | 5.46757 | + | 5.46757i | 0.355157 | + | 0.355157i | ||||
\(238\) | 4.58516 | + | 16.7399i | 0.297212 | + | 1.08509i | ||||
\(239\) | − | 4.00294i | − | 0.258929i | −0.991584 | − | 0.129464i | \(-0.958674\pi\) | ||
0.991584 | − | 0.129464i | \(-0.0413258\pi\) | |||||||
\(240\) | −1.62409 | − | 2.06420i | −0.104834 | − | 0.133244i | ||||
\(241\) | −15.0040 | + | 8.66256i | −0.966493 | + | 0.558005i | −0.898165 | − | 0.439658i | \(-0.855100\pi\) |
−0.0683274 | + | 0.997663i | \(0.521766\pi\) | |||||||
\(242\) | −10.0918 | − | 2.70410i | −0.648728 | − | 0.173826i | ||||
\(243\) | 3.75364 | + | 14.0088i | 0.240796 | + | 0.898663i | ||||
\(244\) | −6.07359 | −0.388822 | ||||||||
\(245\) | 6.32426 | + | 14.3180i | 0.404042 | + | 0.914740i | ||||
\(246\) | −0.960481 | −0.0612380 | ||||||||
\(247\) | −1.42339 | − | 5.31218i | −0.0905683 | − | 0.338006i | ||||
\(248\) | 3.30595 | + | 0.885827i | 0.209928 | + | 0.0562501i | ||||
\(249\) | −13.2858 | + | 7.67055i | −0.841952 | + | 0.486101i | ||||
\(250\) | 11.1305 | + | 1.05497i | 0.703952 | + | 0.0667222i | ||||
\(251\) | 5.49938i | 0.347118i | 0.984824 | + | 0.173559i | \(0.0555267\pi\) | ||||
−0.984824 | + | 0.173559i | \(0.944473\pi\) | |||||||
\(252\) | 1.13248 | + | 4.13456i | 0.0713397 | + | 0.260453i | ||||
\(253\) | −2.78028 | − | 2.78028i | −0.174795 | − | 0.174795i | ||||
\(254\) | 13.6954 | + | 7.90707i | 0.859329 | + | 0.496134i | ||||
\(255\) | 13.7960 | + | 10.3225i | 0.863939 | + | 0.646422i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 15.9473 | − | 4.27307i | 0.994766 | − | 0.266547i | 0.275515 | − | 0.961297i | \(-0.411152\pi\) |
0.719251 | + | 0.694750i | \(0.244485\pi\) | |||||||
\(258\) | 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 | ||||
\(262\) | −2.48280 | + | 9.26595i | −0.153388 | + | 0.572453i | ||||
\(263\) | −2.55217 | + | 9.52484i | −0.157374 | + | 0.587327i | 0.841517 | + | 0.540231i | \(0.181663\pi\) |
−0.998890 | + | 0.0470956i | \(0.985003\pi\) | |||||||
\(264\) | 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 | ||||
\(268\) | −13.2248 | + | 3.54358i | −0.807835 | + | 0.216459i | ||||
\(269\) | 4.47922 | + | 7.75824i | 0.273103 | + | 0.473028i | 0.969655 | − | 0.244478i | \(-0.0786167\pi\) |
−0.696552 | + | 0.717506i | \(0.745283\pi\) | |||||||
\(270\) | 9.71647 | + | 7.27012i | 0.591325 | + | 0.442445i | ||||
\(271\) | −19.7889 | − | 11.4251i | −1.20209 | − | 0.694027i | −0.241071 | − | 0.970507i | \(-0.577499\pi\) |
−0.961020 | + | 0.276480i | \(0.910832\pi\) | |||||||
\(272\) | 4.63872 | + | 4.63872i | 0.281264 | + | 0.281264i | ||||
\(273\) | −6.42276 | − | 6.35186i | −0.388723 | − | 0.384432i | ||||
\(274\) | 9.30954i | 0.562410i | ||||||||
\(275\) | 1.04840 | + | 3.56437i | 0.0632209 | + | 0.214940i | ||||
\(276\) | −5.38268 | + | 3.10769i | −0.323999 | + | 0.187061i | ||||
\(277\) | −20.7995 | − | 5.57320i | −1.24972 | − | 0.334861i | −0.427491 | − | 0.904019i | \(-0.640603\pi\) |
−0.822228 | + | 0.569158i | \(0.807269\pi\) | |||||||
\(278\) | −5.73839 | − | 21.4160i | −0.344166 | − | 1.28444i | ||||
\(279\) | −5.54552 | −0.332002 | ||||||||
\(280\) | 4.75649 | + | 3.51793i | 0.284255 | + | 0.210236i | ||||
\(281\) | −5.64885 | −0.336982 | −0.168491 | − | 0.985703i | \(-0.553889\pi\) | ||||
−0.168491 | + | 0.985703i | \(0.553889\pi\) | |||||||
\(282\) | −1.43178 | − | 5.34348i | −0.0852614 | − | 0.318200i | ||||
\(283\) | −2.82870 | − | 0.757948i | −0.168149 | − | 0.0450553i | 0.173762 | − | 0.984788i | \(-0.444408\pi\) |
−0.341911 | + | 0.939732i | \(0.611074\pi\) | |||||||
\(284\) | 13.8714 | − | 8.00863i | 0.823113 | − | 0.475225i | ||||
\(285\) | 3.07286 | + | 3.90559i | 0.182021 | + | 0.231347i | ||||
\(286\) | − | 2.15986i | − | 0.127715i | ||||||
\(287\) | 2.08657 | − | 0.571524i | 0.123166 | − | 0.0337360i | ||||
\(288\) | 1.14571 | + | 1.14571i | 0.0675116 | + | 0.0675116i | ||||
\(289\) | −22.5473 | − | 13.0177i | −1.32631 | − | 0.765747i | ||||
\(290\) | 3.08904 | + | 21.4492i | 0.181395 | + | 1.25954i | ||||
\(291\) | −2.63038 | − | 4.55596i | −0.154196 | − | 0.267075i | ||||
\(292\) | 8.54906 | − | 2.29071i | 0.500296 | − | 0.134054i | ||||
\(293\) | −10.7875 | + | 10.7875i | −0.630212 | + | 0.630212i | −0.948121 | − | 0.317909i | \(-0.897019\pi\) |
0.317909 | + | 0.948121i | \(0.397019\pi\) | |||||||
\(294\) | 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 | ||||
\(297\) | −1.04374 | + | 3.89528i | −0.0605637 | + | 0.226027i | ||||
\(298\) | −1.02036 | + | 3.80802i | −0.0591077 | + | 0.220593i | ||||
\(299\) | −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 | ||||
\(303\) | 12.6866 | − | 3.39936i | 0.728826 | − | 0.195288i | ||||
\(304\) | 0.946027 | + | 1.63857i | 0.0542584 | + | 0.0939783i | ||||
\(305\) | 8.13624 | − | 10.8740i | 0.465880 | − | 0.622645i | ||||
\(306\) | −9.20520 | − | 5.31463i | −0.526226 | − | 0.303817i | ||||
\(307\) | 6.89201 | + | 6.89201i | 0.393348 | + | 0.393348i | 0.875879 | − | 0.482531i | \(-0.160282\pi\) |
−0.482531 | + | 0.875879i | \(0.660282\pi\) | |||||||
\(308\) | −0.498288 | + | 1.90179i | −0.0283926 | + | 0.108364i | ||||
\(309\) | 2.84982i | 0.162121i | ||||||||
\(310\) | −6.01464 | + | 4.73224i | −0.341609 | + | 0.268773i | ||||
\(311\) | −0.109136 | + | 0.0630096i | −0.00618852 | + | 0.00357294i | −0.503091 | − | 0.864233i | \(-0.667804\pi\) |
0.496903 | + | 0.867806i | \(0.334471\pi\) | |||||||
\(312\) | −3.29788 | − | 0.883663i | −0.186706 | − | 0.0500276i | ||||
\(313\) | −3.02662 | − | 11.2955i | −0.171075 | − | 0.638459i | −0.997187 | − | 0.0749536i | \(-0.976119\pi\) |
0.826112 | − | 0.563505i | \(-0.190548\pi\) | |||||||
\(314\) | 7.46334 | 0.421181 | ||||||||
\(315\) | −8.91951 | − | 3.51112i | −0.502558 | − | 0.197829i | ||||
\(316\) | −6.58284 | −0.370314 | ||||||||
\(317\) | −2.83308 | − | 10.5732i | −0.159122 | − | 0.593851i | −0.998717 | − | 0.0506382i | \(-0.983874\pi\) |
0.839595 | − | 0.543212i | \(-0.182792\pi\) | |||||||
\(318\) | −5.65674 | − | 1.51572i | −0.317214 | − | 0.0849974i | ||||
\(319\) | −6.23657 | + | 3.60068i | −0.349181 | + | 0.201600i | ||||
\(320\) | 2.22032 | + | 0.264946i | 0.124119 | + | 0.0148109i | ||||
\(321\) | − | 7.80001i | − | 0.435354i | ||||||
\(322\) | 9.84425 | − | 9.95413i | 0.548599 | − | 0.554722i | ||||
\(323\) | −8.77670 | − | 8.77670i | −0.488349 | − | 0.488349i | ||||
\(324\) | 1.31104 | + | 0.756928i | 0.0728354 | + | 0.0420516i | ||||
\(325\) | 12.4062 | − | 7.56992i | 0.688173 | − | 0.419904i | ||||
\(326\) | 6.08327 | + | 10.5365i | 0.336921 | + | 0.583565i | ||||
\(327\) | 10.1665 | − | 2.72410i | 0.562208 | − | 0.150643i | ||||
\(328\) | 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 | −0.781186 | − | 0.624298i | \(-0.785385\pi\) |
0.931251 | + | 0.364378i | \(0.118718\pi\) | |||||||
\(332\) | 3.38031 | − | 12.6155i | 0.185519 | − | 0.692366i | ||||
\(333\) | −1.12017 | + | 4.18052i | −0.0613848 | + | 0.229091i | ||||
\(334\) | −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 | \(-0.0393751\pi\) | |||||||
\(338\) | 4.39621 | − | 1.17796i | 0.239122 | − | 0.0640727i | ||||
\(339\) | 0.255644 | + | 0.442788i | 0.0138847 | + | 0.0240490i | ||||
\(340\) | −14.5191 | + | 2.09099i | −0.787410 | + | 0.113400i | ||||
\(341\) | −2.20249 | − | 1.27161i | −0.119272 | − | 0.0688615i | ||||
\(342\) | −2.16775 | − | 2.16775i | −0.117218 | − | 0.117218i | ||||
\(343\) | −13.3120 | − | 12.8760i | −0.718781 | − | 0.695237i | ||||
\(344\) | 2.25693i | 0.121685i | ||||||||
\(345\) | 1.64674 | − | 13.8001i | 0.0886576 | − | 0.742973i | ||||
\(346\) | 8.14763 | − | 4.70404i | 0.438019 | − | 0.252891i | ||||
\(347\) | 20.8040 | + | 5.57442i | 1.11682 | + | 0.299250i | 0.769595 | − | 0.638532i | \(-0.220458\pi\) |
0.347223 | + | 0.937783i | \(0.387125\pi\) | |||||||
\(348\) | 2.94629 | + | 10.9957i | 0.157938 | + | 0.589432i | ||||
\(349\) | −12.5744 | −0.673093 | −0.336546 | − | 0.941667i | \(-0.609259\pi\) | ||||
−0.336546 | + | 0.941667i | \(0.609259\pi\) | |||||||
\(350\) | −12.6702 | + | 3.80326i | −0.677253 | + | 0.203293i | ||||
\(351\) | 15.7746 | 0.841987 | ||||||||
\(352\) | 0.192321 | + | 0.717752i | 0.0102508 | + | 0.0382563i | ||||
\(353\) | 0.666012 | + | 0.178457i | 0.0354482 | + | 0.00949832i | 0.276500 | − | 0.961014i | \(-0.410826\pi\) |
−0.241051 | + | 0.970512i | \(0.577492\pi\) | |||||||
\(354\) | 2.59372 | − | 1.49749i | 0.137855 | − | 0.0795905i | ||||
\(355\) | −4.24371 | + | 35.5634i | −0.225233 | + | 1.88751i | ||||
\(356\) | − | 6.03207i | − | 0.319699i | ||||||
\(357\) | −19.7215 | − | 5.16723i | −1.04377 | − | 0.273479i | ||||
\(358\) | 3.18020 | + | 3.18020i | 0.168079 | + | 0.168079i | ||||
\(359\) | 19.1381 | + | 11.0494i | 1.01007 | + | 0.583165i | 0.911212 | − | 0.411937i | \(-0.135148\pi\) |
0.0988582 | + | 0.995102i | \(0.468481\pi\) | |||||||
\(360\) | −3.58606 | + | 0.516451i | −0.189002 | + | 0.0272194i | ||||
\(361\) | 7.71007 | + | 13.3542i | 0.405793 | + | 0.702854i | ||||
\(362\) | −17.2756 | + | 4.62898i | −0.907985 | + | 0.243294i | ||||
\(363\) | 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 | ||||
\(367\) | 3.47100 | − | 12.9539i | 0.181185 | − | 0.676191i | −0.814230 | − | 0.580542i | \(-0.802841\pi\) |
0.995415 | − | 0.0956487i | \(-0.0304926\pi\) | |||||||
\(368\) | 1.36952 | − | 5.11112i | 0.0713912 | − | 0.266436i | ||||
\(369\) | −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 | ||||
\(373\) | 14.4564 | − | 3.87359i | 0.748526 | − | 0.200567i | 0.135662 | − | 0.990755i | \(-0.456684\pi\) |
0.612864 | + | 0.790188i | \(0.290017\pi\) | |||||||
\(374\) | −2.43733 | − | 4.22157i | −0.126031 | − | 0.218292i | ||||
\(375\) | −7.61017 | + | 10.7028i | −0.392987 | + | 0.552691i | ||||
\(376\) | 4.07864 | + | 2.35481i | 0.210340 | + | 0.121440i | ||||
\(377\) | 19.9189 | + | 19.9189i | 1.02587 | + | 1.02587i | ||||
\(378\) | −13.8898 | − | 3.63926i | −0.714413 | − | 0.187183i | ||||
\(379\) | − | 1.71784i | − | 0.0882395i | −0.999026 | − | 0.0441198i | \(-0.985952\pi\) | ||
0.999026 | − | 0.0441198i | \(-0.0140483\pi\) | |||||||
\(380\) | −4.20096 | − | 0.501292i | −0.215505 | − | 0.0257157i | ||||
\(381\) | −16.0869 | + | 9.28776i | −0.824156 | + | 0.475827i | ||||
\(382\) | −2.68091 | − | 0.718348i | −0.137167 | − | 0.0367539i | ||||
\(383\) | −2.70676 | − | 10.1017i | −0.138309 | − | 0.516175i | −0.999962 | − | 0.00867837i | \(-0.997238\pi\) |
0.861654 | − | 0.507497i | \(-0.169429\pi\) | |||||||
\(384\) | 1.17462 | 0.0599418 | ||||||||
\(385\) | −2.73741 | − | 3.43977i | −0.139511 | − | 0.175307i | ||||
\(386\) | 5.14005 | 0.261622 | ||||||||
\(387\) | −0.946464 | − | 3.53225i | −0.0481114 | − | 0.179554i | ||||
\(388\) | 4.32611 | + | 1.15918i | 0.219625 | + | 0.0588483i | ||||
\(389\) | 18.8548 | − | 10.8858i | 0.955978 | − | 0.551934i | 0.0610449 | − | 0.998135i | \(-0.480557\pi\) |
0.894933 | + | 0.446201i | \(0.147223\pi\) | |||||||
\(390\) | 5.99995 | − | 4.72068i | 0.303819 | − | 0.239041i | ||||
\(391\) | 34.7124i | 1.75548i | ||||||||
\(392\) | −6.78117 | − | 1.73658i | −0.342501 | − | 0.0877104i | ||||
\(393\) | −7.96759 | − | 7.96759i | −0.401912 | − | 0.401912i | ||||
\(394\) | −1.64169 | − | 0.947829i | −0.0827071 | − | 0.0477510i | ||||
\(395\) | 8.81843 | − | 11.7858i | 0.443703 | − | 0.593006i | ||||
\(396\) | −0.601992 | − | 1.04268i | −0.0302512 | − | 0.0523967i | ||||
\(397\) | −30.6188 | + | 8.20427i | −1.53671 | + | 0.411761i | −0.925202 | − | 0.379476i | \(-0.876104\pi\) |
−0.611510 | + | 0.791237i | \(0.709438\pi\) | |||||||
\(398\) | 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 | −0.986042 | − | 0.166499i | \(-0.946754\pi\) |
0.637213 | + | 0.770687i | \(0.280087\pi\) | |||||||
\(402\) | 4.16234 | − | 15.5341i | 0.207599 | − | 0.774769i | ||||
\(403\) | −2.57480 | + | 9.60930i | −0.128260 | + | 0.478673i | ||||
\(404\) | −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 | ||||
\(408\) | −7.44307 | + | 1.99437i | −0.368487 | + | 0.0987358i | ||||
\(409\) | −9.36960 | − | 16.2286i | −0.463297 | − | 0.802454i | 0.535826 | − | 0.844328i | \(-0.320000\pi\) |
−0.999123 | + | 0.0418748i | \(0.986667\pi\) | |||||||
\(410\) | 0.260635 | + | 1.80976i | 0.0128718 | + | 0.0893776i | ||||
\(411\) | −9.47010 | − | 5.46757i | −0.467126 | − | 0.269695i | ||||
\(412\) | −1.71557 | − | 1.71557i | −0.0845198 | − | 0.0845198i | ||||
\(413\) | −4.74360 | + | 4.79654i | −0.233417 | + | 0.236022i | ||||
\(414\) | 8.57358i | 0.421369i | ||||||||
\(415\) | 18.0582 | + | 22.9519i | 0.886443 | + | 1.12666i | ||||
\(416\) | 2.51725 | − | 1.45333i | 0.123418 | − | 0.0712555i | ||||
\(417\) | 25.1555 | + | 6.74040i | 1.23187 | + | 0.330079i | ||||
\(418\) | −0.363882 | − | 1.35803i | −0.0177981 | − | 0.0664232i | ||||
\(419\) | −31.5744 | −1.54251 | −0.771255 | − | 0.636526i | \(-0.780371\pi\) | ||||
−0.771255 | + | 0.636526i | \(0.780371\pi\) | |||||||
\(420\) | −6.37212 | + | 2.77242i | −0.310928 | + | 0.135280i | ||||
\(421\) | −13.5569 | −0.660722 | −0.330361 | − | 0.943855i | \(-0.607171\pi\) | ||||
−0.330361 | + | 0.943855i | \(0.607171\pi\) | |||||||
\(422\) | −2.59658 | − | 9.69057i | −0.126399 | − | 0.471729i | ||||
\(423\) | −7.37087 | − | 1.97502i | −0.358384 | − | 0.0960287i | ||||
\(424\) | 4.31775 | − | 2.49286i | 0.209689 | − | 0.121064i | ||||
\(425\) | 15.7063 | − | 28.7958i | 0.761866 | − | 1.39680i | ||||
\(426\) | 18.8141i | 0.911547i | ||||||||
\(427\) | −4.07282 | + | 15.5445i | −0.197097 | + | 0.752252i | ||||
\(428\) | 4.69553 | + | 4.69553i | 0.226967 | + | 0.226967i | ||||
\(429\) | 2.19711 | + | 1.26850i | 0.106078 | + | 0.0612439i | ||||
\(430\) | −4.04075 | − | 3.02340i | −0.194862 | − | 0.145801i | ||||
\(431\) | −6.63518 | − | 11.4925i | −0.319605 | − | 0.553572i | 0.660800 | − | 0.750562i | \(-0.270217\pi\) |
−0.980406 | + | 0.196989i | \(0.936884\pi\) | |||||||
\(432\) | −5.24213 | + | 1.40462i | −0.252212 | + | 0.0675800i | ||||
\(433\) | 12.0535 | − | 12.0535i | 0.579252 | − | 0.579252i | −0.355445 | − | 0.934697i | \(-0.615671\pi\) |
0.934697 | + | 0.355445i | \(0.115671\pi\) | |||||||
\(434\) | 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 | ||||
\(437\) | −2.59121 | + | 9.67052i | −0.123954 | + | 0.462604i | ||||
\(438\) | −2.69071 | + | 10.0419i | −0.128567 | + | 0.479818i | ||||
\(439\) | 17.5238 | − | 30.3521i | 0.836366 | − | 1.44863i | −0.0565475 | − | 0.998400i | \(-0.518009\pi\) |
0.892913 | − | 0.450228i | \(-0.148657\pi\) | |||||||
\(440\) | −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 | ||||
\(443\) | 0.0609189 | − | 0.0163232i | 0.00289435 | − | 0.000775538i | −0.257372 | − | 0.966313i | \(-0.582856\pi\) |
0.260266 | + | 0.965537i | \(0.416190\pi\) | |||||||
\(444\) | 1.56878 | + | 2.71721i | 0.0744511 | + | 0.128953i | ||||
\(445\) | 10.7997 | + | 8.08060i | 0.511954 | + | 0.383057i | ||||
\(446\) | −3.84271 | − | 2.21859i | −0.181958 | − | 0.105053i | ||||
\(447\) | −3.27444 | − | 3.27444i | −0.154876 | − | 0.154876i | ||||
\(448\) | −2.55176 | + | 0.698943i | −0.120559 | + | 0.0330219i | ||||
\(449\) | 24.5207i | 1.15720i | 0.815611 | + | 0.578601i | \(0.196401\pi\) | ||||
−0.815611 | + | 0.578601i | \(0.803599\pi\) | |||||||
\(450\) | 3.87927 | − | 7.11224i | 0.182870 | − | 0.335274i | ||||
\(451\) | −0.526205 | + | 0.303804i | −0.0247780 | + | 0.0143056i | ||||
\(452\) | −0.420450 | − | 0.112659i | −0.0197763 | − | 0.00529904i | ||||
\(453\) | 6.06364 | + | 22.6298i | 0.284894 | + | 1.06324i | ||||
\(454\) | −0.670872 | −0.0314856 | ||||||||
\(455\) | −10.2254 | + | 13.8255i | −0.479376 | + | 0.648151i | ||||
\(456\) | −2.22244 | −0.104075 | ||||||||
\(457\) | 5.19531 | + | 19.3892i | 0.243027 | + | 0.906987i | 0.974365 | + | 0.224973i | \(0.0722293\pi\) |
−0.731339 | + | 0.682015i | \(0.761104\pi\) | |||||||
\(458\) | −12.7534 | − | 3.41727i | −0.595929 | − | 0.159679i | ||||
\(459\) | 30.8324 | − | 17.8011i | 1.43913 | − | 0.830884i | ||||
\(460\) | 7.31621 | + | 9.29886i | 0.341120 | + | 0.433561i | ||||
\(461\) | − | 11.6940i | − | 0.544642i | −0.962207 | − | 0.272321i | \(-0.912209\pi\) | ||
0.962207 | − | 0.272321i | \(-0.0877912\pi\) | |||||||
\(462\) | −1.64194 | − | 1.62382i | −0.0763900 | − | 0.0755468i | ||||
\(463\) | 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 | ||||
\(465\) | −1.28141 | − | 8.89765i | −0.0594239 | − | 0.412619i | ||||
\(466\) | −4.32947 | − | 7.49886i | −0.200559 | − | 0.347378i | ||||
\(467\) | −20.2080 | + | 5.41472i | −0.935116 | + | 0.250563i | −0.694035 | − | 0.719942i | \(-0.744169\pi\) |
−0.241081 | + | 0.970505i | \(0.577502\pi\) | |||||||
\(468\) | −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 | ||||
\(472\) | −0.659924 | + | 2.46287i | −0.0303754 | + | 0.113363i | ||||
\(473\) | 0.434055 | − | 1.61992i | 0.0199579 | − | 0.0744838i | ||||
\(474\) | 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 | ||||
\(478\) | −3.86655 | + | 1.03604i | −0.176852 | + | 0.0473873i | ||||
\(479\) | −12.1419 | − | 21.0303i | −0.554775 | − | 0.960899i | −0.997921 | − | 0.0644496i | \(-0.979471\pi\) |
0.443145 | − | 0.896450i | \(-0.353863\pi\) | |||||||
\(480\) | −1.57352 | + | 2.10300i | −0.0718212 | + | 0.0959886i | ||||
\(481\) | 6.72392 | + | 3.88206i | 0.306584 | + | 0.177007i | ||||
\(482\) | 12.2507 | + | 12.2507i | 0.558005 | + | 0.558005i | ||||
\(483\) | 4.34420 | + | 15.8602i | 0.197668 | + | 0.721663i | ||||
\(484\) | 10.4478i | 0.474902i | ||||||||
\(485\) | −7.87065 | + | 6.19252i | −0.357388 | + | 0.281188i | ||||
\(486\) | 12.5599 | − | 7.25148i | 0.569730 | − | 0.328934i | ||||
\(487\) | −2.46890 | − | 0.661539i | −0.111876 | − | 0.0299772i | 0.202446 | − | 0.979293i | \(-0.435111\pi\) |
−0.314323 | + | 0.949316i | \(0.601777\pi\) | |||||||
\(488\) | 1.57196 | + | 5.86664i | 0.0711594 | + | 0.265570i | ||||
\(489\) | −14.2910 | −0.646262 | ||||||||
\(490\) | 12.1932 | − | 9.81452i | 0.550834 | − | 0.443375i | ||||
\(491\) | 14.5668 | 0.657391 | 0.328695 | − | 0.944436i | \(-0.393391\pi\) | ||||
0.328695 | + | 0.944436i | \(0.393391\pi\) | |||||||
\(492\) | 0.248591 | + | 0.927753i | 0.0112073 | + | 0.0418264i | ||||
\(493\) | 61.4102 | + | 16.4548i | 2.76578 | + | 0.741088i | ||||
\(494\) | −4.76277 | + | 2.74978i | −0.214287 | + | 0.123719i | ||||
\(495\) | 2.67323 | + | 0.318991i | 0.120153 | + | 0.0143376i | ||||
\(496\) | − | 3.42257i | − | 0.153678i | ||||||
\(497\) | −11.1951 | − | 40.8722i | −0.502171 | − | 1.83337i | ||||
\(498\) | 10.8478 | + | 10.8478i | 0.486101 | + | 0.486101i | ||||
\(499\) | −26.0565 | − | 15.0437i | −1.16645 | − | 0.673450i | −0.213608 | − | 0.976919i | \(-0.568522\pi\) |
−0.952841 | + | 0.303469i | \(0.901855\pi\) | |||||||
\(500\) | −1.86175 | − | 11.0242i | −0.0832600 | − | 0.493019i | ||||
\(501\) | −1.20902 | − | 2.09409i | −0.0540152 | − | 0.0935572i | ||||
\(502\) | 5.31199 | − | 1.42334i | 0.237086 | − | 0.0635269i | ||||
\(503\) | −24.6819 | + | 24.6819i | −1.10051 | + | 1.10051i | −0.106161 | + | 0.994349i | \(0.533856\pi\) |
−0.994349 | + | 0.106161i | \(0.966144\pi\) | |||||||
\(504\) | 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 | ||||
\(507\) | −1.38365 | + | 5.16386i | −0.0614501 | + | 0.229335i | ||||
\(508\) | 4.09300 | − | 15.2753i | 0.181598 | − | 0.677731i | ||||
\(509\) | 6.22521 | − | 10.7824i | 0.275927 | − | 0.477920i | −0.694441 | − | 0.719549i | \(-0.744348\pi\) |
0.970369 | + | 0.241629i | \(0.0776817\pi\) | |||||||
\(510\) | 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 | ||||
\(513\) | 9.91839 | − | 2.65762i | 0.437908 | − | 0.117337i | ||||
\(514\) | −8.25494 | − | 14.2980i | −0.364110 | − | 0.630656i | ||||
\(515\) | 5.36969 | − | 0.773324i | 0.236617 | − | 0.0340767i | ||||
\(516\) | −2.29585 | − | 1.32551i | −0.101069 | − | 0.0583524i | ||||
\(517\) | −2.47458 | − | 2.47458i | −0.108832 | − | 0.108832i | ||||
\(518\) | −5.02490 | − | 4.96944i | −0.220782 | − | 0.218345i | ||||
\(519\) | 11.0509i | 0.485079i | ||||||||
\(520\) | −0.770110 | + | 6.45372i | −0.0337715 | + | 0.283014i | ||||
\(521\) | 30.6011 | − | 17.6676i | 1.34066 | − | 0.774030i | 0.353756 | − | 0.935338i | \(-0.384904\pi\) |
0.986904 | + | 0.161308i | \(0.0515711\pi\) | |||||||
\(522\) | 15.1676 | + | 4.06416i | 0.663869 | + | 0.177883i | ||||
\(523\) | −4.25513 | − | 15.8804i | −0.186064 | − | 0.694400i | −0.994400 | − | 0.105679i | \(-0.966298\pi\) |
0.808336 | − | 0.588721i | \(-0.200368\pi\) | |||||||
\(524\) | 9.59282 | 0.419064 | ||||||||
\(525\) | 3.57247 | − | 15.1225i | 0.155916 | − | 0.659998i | ||||
\(526\) | 9.86084 | 0.429953 | ||||||||
\(527\) | 5.81115 | + | 21.6875i | 0.253137 | + | 0.944722i | ||||
\(528\) | −0.843083 | − | 0.225903i | −0.0366905 | − | 0.00983118i | ||||
\(529\) | 4.32938 | − | 2.49957i | 0.188234 | − | 0.108677i | ||||
\(530\) | −1.32094 | + | 11.0699i | −0.0573782 | + | 0.480844i | ||||
\(531\) | − | 4.13131i | − | 0.179283i | ||||||
\(532\) | 4.82807 | − | 1.32244i | 0.209323 | − | 0.0573349i | ||||
\(533\) | 1.68063 | + | 1.68063i | 0.0727964 | + | 0.0727964i | ||||
\(534\) | 6.13610 | + | 3.54268i | 0.265535 | + | 0.153307i | ||||
\(535\) | −14.6969 | + | 2.11660i | −0.635404 | + | 0.0915086i | ||||
\(536\) | 6.84567 | + | 11.8571i | 0.295688 | + | 0.512147i | ||||
\(537\) | −5.10281 | + | 1.36729i | −0.220202 | + | 0.0590031i | ||||
\(538\) | 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 | −0.426598 | − | 0.904441i | \(-0.640288\pi\) |
0.996568 | − | 0.0827763i | \(-0.0263787\pi\) | |||||||
\(542\) | −5.91408 | + | 22.0717i | −0.254032 | + | 0.948059i | ||||
\(543\) | 5.43727 | − | 20.2922i | 0.233336 | − | 0.870820i | ||||
\(544\) | 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 | \(0.260338\pi\) | |||||||
\(548\) | 8.99233 | − | 2.40949i | 0.384133 | − | 0.102928i | ||||
\(549\) | −4.92046 | − | 8.52249i | −0.210000 | − | 0.363731i | ||||
\(550\) | 3.17157 | − | 1.93520i | 0.135236 | − | 0.0825174i | ||||
\(551\) | 15.8799 | + | 9.16828i | 0.676507 | + | 0.390582i | ||||
\(552\) | 4.39494 | + | 4.39494i | 0.187061 | + | 0.187061i | ||||
\(553\) | −4.41431 | + | 16.8479i | −0.187715 | + | 0.716444i | ||||
\(554\) | 21.5332i | 0.914858i | ||||||||
\(555\) | −6.96638 | − | 0.831285i | −0.295706 | − | 0.0352861i | ||||
\(556\) | −19.2010 | + | 11.0857i | −0.814305 | + | 0.470139i | ||||
\(557\) | −15.0145 | − | 4.02313i | −0.636186 | − | 0.170466i | −0.0737108 | − | 0.997280i | \(-0.523484\pi\) |
−0.562475 | + | 0.826814i | \(0.690151\pi\) | |||||||
\(558\) | 1.43529 | + | 5.35657i | 0.0607606 | + | 0.226761i | ||||
\(559\) | −6.56014 | −0.277464 | ||||||||
\(560\) | 2.16699 | − | 5.50492i | 0.0915719 | − | 0.232625i | ||||
\(561\) | 5.72584 | 0.241745 | ||||||||
\(562\) | 1.46203 | + | 5.45637i | 0.0616721 | + | 0.230163i | ||||
\(563\) | −26.5108 | − | 7.10355i | −1.11730 | − | 0.299379i | −0.347508 | − | 0.937677i | \(-0.612972\pi\) |
−0.769789 | + | 0.638298i | \(0.779639\pi\) | |||||||
\(564\) | −4.79084 | + | 2.76599i | −0.201731 | + | 0.116469i | ||||
\(565\) | 0.764940 | − | 0.601844i | 0.0321813 | − | 0.0253198i | ||||
\(566\) | 2.92849i | 0.123093i | ||||||||
\(567\) | 2.81641 | − | 2.84784i | 0.118278 | − | 0.119598i | ||||
\(568\) | −11.3259 | − | 11.3259i | −0.475225 | − | 0.475225i | ||||
\(569\) | 5.85207 | + | 3.37869i | 0.245332 | + | 0.141642i | 0.617625 | − | 0.786473i | \(-0.288095\pi\) |
−0.372293 | + | 0.928115i | \(0.621428\pi\) | |||||||
\(570\) | 2.97719 | − | 3.97900i | 0.124701 | − | 0.166662i | ||||
\(571\) | −5.87721 | − | 10.1796i | −0.245953 | − | 0.426004i | 0.716446 | − | 0.697643i | \(-0.245768\pi\) |
−0.962399 | + | 0.271639i | \(0.912434\pi\) | |||||||
\(572\) | −2.08627 | + | 0.559013i | −0.0872312 | + | 0.0233735i | ||||
\(573\) | 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 | ||||
\(577\) | 0.583767 | − | 2.17865i | 0.0243025 | − | 0.0906983i | −0.952709 | − | 0.303883i | \(-0.901717\pi\) |
0.977012 | + | 0.213184i | \(0.0683835\pi\) | |||||||
\(578\) | −6.73845 | + | 25.1483i | −0.280283 | + | 1.04603i | ||||
\(579\) | −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 | ||||
\(583\) | −3.57851 | + | 0.958858i | −0.148207 | + | 0.0397118i | ||||
\(584\) | −4.42532 | − | 7.66488i | −0.183121 | − | 0.317175i | ||||
\(585\) | −1.50115 | − | 10.4235i | −0.0620649 | − | 0.430957i | ||||
\(586\) | 13.2119 | + | 7.62790i | 0.545779 | + | 0.315106i | ||||
\(587\) | −12.8372 | − | 12.8372i | −0.529847 | − | 0.529847i | 0.390680 | − | 0.920527i | \(-0.372240\pi\) |
−0.920527 | + | 0.390680i | \(0.872240\pi\) | |||||||
\(588\) | 5.74916 | − | 5.87822i | 0.237091 | − | 0.242414i | ||||
\(589\) | 6.47569i | 0.266826i | ||||||||
\(590\) | −3.52542 | − | 4.48079i | −0.145139 | − | 0.184471i | ||||
\(591\) | 1.92835 | − | 1.11333i | 0.0793218 | − | 0.0457965i | ||||
\(592\) | −2.58012 | − | 0.691342i | −0.106042 | − | 0.0284140i | ||||
\(593\) | 9.40957 | + | 35.1170i | 0.386405 | + | 1.44208i | 0.835940 | + | 0.548820i | \(0.184923\pi\) |
−0.449535 | + | 0.893262i | \(0.648410\pi\) | |||||||
\(594\) | 4.03269 | 0.165463 | ||||||||
\(595\) | −4.38460 | + | 38.5618i | −0.179751 | + | 1.58088i | ||||
\(596\) | 3.94236 | 0.161485 | ||||||||
\(597\) | 4.40908 | + | 16.4549i | 0.180452 | + | 0.673455i | ||||
\(598\) | 14.8563 | + | 3.98074i | 0.607520 | + | 0.162785i | ||||
\(599\) | −30.9792 | + | 17.8858i | −1.26578 | + | 0.730796i | −0.974186 | − | 0.225748i | \(-0.927517\pi\) |
−0.291589 | + | 0.956544i | \(0.594184\pi\) | |||||||
\(600\) | −1.65727 | − | 5.63440i | −0.0676576 | − | 0.230024i | ||||
\(601\) | 45.6631i | 1.86264i | 0.364204 | + | 0.931319i | \(0.381341\pi\) | ||||
−0.364204 | + | 0.931319i | \(0.618659\pi\) | |||||||
\(602\) | 5.77629 | + | 1.51345i | 0.235424 | + | 0.0616835i | ||||
\(603\) | −15.6863 | − | 15.6863i | −0.638796 | − | 0.638796i | ||||
\(604\) | −17.2732 | − | 9.97267i | −0.702835 | − | 0.405782i | ||||
\(605\) | −18.7056 | − | 13.9960i | −0.760490 | − | 0.569019i | ||||
\(606\) | −6.56707 | − | 11.3745i | −0.266769 | − | 0.462057i | ||||
\(607\) | −1.13151 | + | 0.303188i | −0.0459267 | + | 0.0123060i | −0.281709 | − | 0.959500i | \(-0.590901\pi\) |
0.235783 | + | 0.971806i | \(0.424235\pi\) | |||||||
\(608\) | 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 | ||||
\(612\) | −2.75105 | + | 10.2671i | −0.111205 | + | 0.415022i | ||||
\(613\) | −3.60737 | + | 13.4629i | −0.145700 | + | 0.543760i | 0.854023 | + | 0.520235i | \(0.174156\pi\) |
−0.999723 | + | 0.0235253i | \(0.992511\pi\) | |||||||
\(614\) | 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 | \(0.0254941\pi\) | |||||||
\(618\) | 2.75272 | − | 0.737588i | 0.110731 | − | 0.0296702i | ||||
\(619\) | 11.3386 | + | 19.6391i | 0.455738 | + | 0.789361i | 0.998730 | − | 0.0503763i | \(-0.0160421\pi\) |
−0.542992 | + | 0.839738i | \(0.682709\pi\) | |||||||
\(620\) | 6.12770 | + | 4.58491i | 0.246094 | + | 0.184134i | ||||
\(621\) | −24.8695 | − | 14.3584i | −0.997978 | − | 0.576183i | ||||
\(622\) | 0.0891090 | + | 0.0891090i | 0.00357294 | + | 0.00357294i | ||||
\(623\) | −15.4382 | − | 4.04497i | −0.618520 | − | 0.162058i | ||||
\(624\) | 3.41421i | 0.136678i | ||||||||
\(625\) | 22.2316 | + | 11.4349i | 0.889263 | + | 0.457397i | ||||
\(626\) | −10.1273 | + | 5.84698i | −0.404767 | + | 0.233692i | ||||
\(627\) | 1.59516 | + | 0.427421i | 0.0637045 | + | 0.0170696i | ||||
\(628\) | −1.93165 | − | 7.20903i | −0.0770814 | − | 0.287672i | ||||
\(629\) | 17.5231 | 0.698690 | ||||||||
\(630\) | −1.08295 | + | 9.52433i | −0.0431456 | + | 0.379459i | ||||
\(631\) | 32.4210 | 1.29066 | 0.645330 | − | 0.763904i | \(-0.276720\pi\) | ||||
0.645330 | + | 0.763904i | \(0.276720\pi\) | |||||||
\(632\) | 1.70376 | + | 6.35854i | 0.0677721 | + | 0.252929i | ||||
\(633\) | 11.3827 | + | 3.04998i | 0.452421 | + | 0.121226i | ||||
\(634\) | −9.47968 | + | 5.47310i | −0.376486 | + | 0.217364i | ||||
\(635\) | 21.8655 | + | 27.7909i | 0.867706 | + | 1.10285i | ||||
\(636\) | 5.85629i | 0.232217i | ||||||||
\(637\) | 5.04765 | − | 19.7106i | 0.199995 | − | 0.780963i | ||||
\(638\) | 5.09214 | + | 5.09214i | 0.201600 | + | 0.201600i | ||||
\(639\) | 22.4755 | + | 12.9762i | 0.889116 | + | 0.513331i | ||||
\(640\) | −0.318742 | − | 2.21323i | −0.0125994 | − | 0.0874857i | ||||
\(641\) | 0.428070 | + | 0.741439i | 0.0169077 | + | 0.0292851i | 0.874355 | − | 0.485286i | \(-0.161285\pi\) |
−0.857448 | + | 0.514571i | \(0.827951\pi\) | |||||||
\(642\) | −7.53423 | + | 2.01879i | −0.297353 | + | 0.0796754i | ||||
\(643\) | 16.4254 | − | 16.4254i | 0.647754 | − | 0.647754i | −0.304696 | − | 0.952450i | \(-0.598555\pi\) |
0.952450 | + | 0.304696i | \(0.0985548\pi\) | |||||||
\(644\) | −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 | ||||
\(647\) | −12.2805 | + | 45.8316i | −0.482798 | + | 1.80183i | 0.106982 | + | 0.994261i | \(0.465881\pi\) |
−0.589779 | + | 0.807564i | \(0.700785\pi\) | |||||||
\(648\) | 0.391815 | − | 1.46227i | 0.0153919 | − | 0.0574435i | ||||
\(649\) | 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 | ||||
\(653\) | −25.3781 | + | 6.80004i | −0.993121 | + | 0.266106i | −0.718561 | − | 0.695464i | \(-0.755199\pi\) |
−0.274560 | + | 0.961570i | \(0.588532\pi\) | |||||||
\(654\) | −5.26256 | − | 9.11502i | −0.205782 | − | 0.356425i | ||||
\(655\) | −12.8506 | + | 17.1748i | −0.502115 | + | 0.671074i | ||||
\(656\) | −0.708148 | − | 0.408849i | −0.0276485 | − | 0.0159629i | ||||
\(657\) | 10.1403 | + | 10.1403i | 0.395609 | + | 0.395609i | ||||
\(658\) | 8.76184 | − | 8.85964i | 0.341572 | − | 0.345385i | ||||
\(659\) | − | 26.2355i | − | 1.02199i | −0.859583 | − | 0.510996i | \(-0.829277\pi\) | ||
0.859583 | − | 0.510996i | \(-0.170723\pi\) | |||||||
\(660\) | 1.53385 | − | 1.20681i | 0.0597051 | − | 0.0469752i | ||||
\(661\) | −12.6197 | + | 7.28597i | −0.490848 | + | 0.283391i | −0.724926 | − | 0.688827i | \(-0.758126\pi\) |
0.234078 | + | 0.972218i | \(0.424793\pi\) | |||||||
\(662\) | −5.27432 | − | 1.41325i | −0.204992 | − | 0.0549275i | ||||
\(663\) | −5.79695 | − | 21.6345i | −0.225135 | − | 0.840215i | ||||
\(664\) | −13.0605 | −0.506847 | ||||||||
\(665\) | −4.10006 | + | 10.4156i | −0.158993 | + | 0.403900i | ||||
\(666\) | 4.32800 | 0.167706 | ||||||||
\(667\) | −13.2725 | − | 49.5336i | −0.513913 | − | 1.91795i | ||||
\(668\) | 1.98844 | + | 0.532802i | 0.0769352 | + | 0.0206147i | ||||
\(669\) | 4.51371 | − | 2.60599i | 0.174510 | − | 0.100753i | ||||
\(670\) | −30.3991 | − | 3.62747i | −1.17442 | − | 0.140141i | ||||
\(671\) | − | 4.51312i | − | 0.174227i | ||||||
\(672\) | 0.787671 | − | 3.00626i | 0.0303851 | − | 0.115969i | ||||
\(673\) | −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 | ||||
\(675\) | 14.1338 | + | 23.1637i | 0.544011 | + | 0.891571i | ||||
\(676\) | −2.27565 | − | 3.94154i | −0.0875249 | − | 0.151598i | ||||
\(677\) | −21.9882 | + | 5.89172i | −0.845075 | + | 0.226437i | −0.655280 | − | 0.755386i | \(-0.727449\pi\) |
−0.189796 | + | 0.981824i | \(0.560783\pi\) | |||||||
\(678\) | 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 | ||||
\(682\) | −0.658233 | + | 2.45656i | −0.0252050 | + | 0.0940665i | ||||
\(683\) | 7.93034 | − | 29.5964i | 0.303446 | − | 1.13248i | −0.630829 | − | 0.775922i | \(-0.717285\pi\) |
0.934275 | − | 0.356554i | \(-0.116048\pi\) | |||||||
\(684\) | −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 | ||||
\(688\) | 2.18003 | − | 0.584136i | 0.0831127 | − | 0.0222700i | ||||
\(689\) | 7.24590 | + | 12.5503i | 0.276047 | + | 0.478127i | ||||
\(690\) | −13.7561 | + | 1.98110i | −0.523686 | + | 0.0754193i | ||||
\(691\) | 27.7284 | + | 16.0090i | 1.05484 | + | 0.609012i | 0.924000 | − | 0.382392i | \(-0.124900\pi\) |
0.130839 | + | 0.991404i | \(0.458233\pi\) | |||||||
\(692\) | −6.65251 | − | 6.65251i | −0.252891 | − | 0.252891i | ||||
\(693\) | −3.07228 | + | 0.841516i | −0.116706 | + | 0.0319665i | ||||
\(694\) | − | 21.5379i | − | 0.817567i | ||||||
\(695\) | 5.87423 | − | 49.2276i | 0.222822 | − | 1.86731i | ||||
\(696\) | 9.85849 | − | 5.69180i | 0.373685 | − | 0.215747i | ||||
\(697\) | 5.18143 | + | 1.38836i | 0.196261 | + | 0.0525879i | ||||
\(698\) | 3.25450 | + | 12.1459i | 0.123184 | + | 0.459731i | ||||
\(699\) | 10.1709 | 0.384699 | ||||||||
\(700\) | 6.95297 | + | 11.2542i | 0.262798 | + | 0.425367i | ||||
\(701\) | −18.5294 | −0.699844 | −0.349922 | − | 0.936779i | \(-0.613792\pi\) | ||||
−0.349922 | + | 0.936779i | \(0.613792\pi\) | |||||||
\(702\) | −4.08277 | − | 15.2371i | −0.154094 | − | 0.575088i | ||||
\(703\) | 4.88174 | + | 1.30806i | 0.184118 | + | 0.0493343i | ||||
\(704\) | 0.643519 | − | 0.371536i | 0.0242535 | − | 0.0140028i | ||||
\(705\) | 1.46568 | − | 12.2827i | 0.0552006 | − | 0.462595i | ||||
\(706\) | − | 0.689506i | − | 0.0259499i | ||||||
\(707\) | 21.0347 | + | 20.8025i | 0.791092 | + | 0.782360i | ||||
\(708\) | −2.11777 | − | 2.11777i | −0.0795905 | − | 0.0795905i | ||||
\(709\) | 23.1074 | + | 13.3411i | 0.867818 | + | 0.501035i | 0.866622 | − | 0.498965i | \(-0.166286\pi\) |
0.00119522 | + | 0.999999i | \(0.499620\pi\) | |||||||
\(710\) | 35.4499 | − | 5.10537i | 1.33041 | − | 0.191601i | ||||
\(711\) | −5.33302 | − | 9.23706i | −0.200004 | − | 0.346417i | ||||
\(712\) | −5.82653 | + | 1.56121i | −0.218358 | + | 0.0585089i | ||||
\(713\) | 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 | ||||
\(717\) | 1.21695 | − | 4.54170i | 0.0454477 | − | 0.169613i | ||||
\(718\) | 5.71959 | − | 21.3458i | 0.213453 | − | 0.796618i | ||||
\(719\) | 15.9890 | − | 27.6937i | 0.596288 | − | 1.03280i | −0.397076 | − | 0.917786i | \(-0.629975\pi\) |
0.993364 | − | 0.115015i | \(-0.0366917\pi\) | |||||||
\(720\) | 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 | ||||
\(723\) | −19.6569 | + | 5.26706i | −0.731049 | + | 0.195884i | ||||
\(724\) | 8.94250 | + | 15.4889i | 0.332346 | + | 0.575639i | ||||
\(725\) | −11.4021 | + | 47.0961i | −0.423465 | + | 1.74911i | ||||
\(726\) | −10.6280 | − | 6.13610i | −0.394443 | − | 0.227732i | ||||
\(727\) | −21.4539 | − | 21.4539i | −0.795683 | − | 0.795683i | 0.186729 | − | 0.982412i | \(-0.440211\pi\) |
−0.982412 | + | 0.186729i | \(0.940211\pi\) | |||||||
\(728\) | −2.03159 | − | 7.41711i | −0.0752958 | − | 0.274897i | ||||
\(729\) | 21.5770i | 0.799146i | ||||||||
\(730\) | 19.6512 | + | 2.34494i | 0.727324 | + | 0.0867901i | ||||
\(731\) | −12.8222 | + | 7.40288i | −0.474245 | + | 0.273805i | ||||
\(732\) | −6.89105 | − | 1.84645i | −0.254700 | − | 0.0682468i | ||||
\(733\) | −3.36789 | − | 12.5691i | −0.124396 | − | 0.464252i | 0.875422 | − | 0.483360i | \(-0.160584\pi\) |
−0.999817 | + | 0.0191085i | \(0.993917\pi\) | |||||||
\(734\) | −13.4109 | −0.495006 | ||||||||
\(735\) | 2.82261 | + | 18.1677i | 0.104113 | + | 0.670125i | ||||
\(736\) | −5.29142 | −0.195044 | ||||||||
\(737\) | −2.63314 | − | 9.82700i | −0.0969928 | − | 0.361982i | ||||
\(738\) | 1.27976 | + | 0.342909i | 0.0471084 | + | 0.0126227i | ||||
\(739\) | 3.12136 | − | 1.80212i | 0.114821 | − | 0.0662920i | −0.441490 | − | 0.897266i | \(-0.645550\pi\) |
0.556311 | + | 0.830974i | \(0.312216\pi\) | |||||||
\(740\) | 4.69412 | − | 3.69327i | 0.172559 | − | 0.135767i | ||||
\(741\) | − | 6.45988i | − | 0.237309i | ||||||
\(742\) | −3.48473 | − | 12.7223i | −0.127928 | − | 0.467052i | ||||
\(743\) | 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 | ||||
\(745\) | −5.28121 | + | 7.05831i | −0.193489 | + | 0.258596i | ||||
\(746\) | −7.48320 | − | 12.9613i | −0.273979 | − | 0.474546i | ||||
\(747\) | 20.4406 | − | 5.47705i | 0.747884 | − | 0.200395i | ||||
\(748\) | −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 | 0.149447 | − | 0.988770i | \(-0.452251\pi\) |
0.781576 | − | 0.623810i | \(-0.214416\pi\) | |||||||
\(752\) | 1.21894 | − | 4.54913i | 0.0444501 | − | 0.165890i | ||||
\(753\) | −1.67188 | + | 6.23954i | −0.0609267 | + | 0.227382i | ||||
\(754\) | 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 | \(0.00799305\pi\) | |||||||
\(758\) | −1.65931 | + | 0.444610i | −0.0602687 | + | 0.0161490i | ||||
\(759\) | −2.30924 | − | 3.99972i | −0.0838200 | − | 0.145181i | ||||
\(760\) | 0.603077 | + | 4.18756i | 0.0218759 | + | 0.151899i | ||||
\(761\) | −25.8753 | − | 14.9391i | −0.937980 | − | 0.541543i | −0.0486532 | − | 0.998816i | \(-0.515493\pi\) |
−0.889326 | + | 0.457273i | \(0.848826\pi\) | |||||||
\(762\) | 13.1349 | + | 13.1349i | 0.475827 | + | 0.475827i | ||||
\(763\) | 16.8563 | + | 16.6702i | 0.610239 | + | 0.603503i | ||||
\(764\) | 2.77548i | 0.100413i | ||||||||
\(765\) | −14.6966 | − | 18.6793i | −0.531357 | − | 0.675351i | ||||
\(766\) | −9.05698 | + | 5.22905i | −0.327242 | + | 0.188933i | ||||
\(767\) | −7.15874 | − | 1.91818i | −0.258487 | − | 0.0692614i | ||||
\(768\) | −0.304013 | − | 1.13459i | −0.0109701 | − | 0.0409410i | ||||
\(769\) | −44.7341 | −1.61315 | −0.806576 | − | 0.591130i | \(-0.798682\pi\) | ||||
−0.806576 | + | 0.591130i | \(0.798682\pi\) | |||||||
\(770\) | −2.61407 | + | 3.53441i | −0.0942047 | + | 0.127371i | ||||
\(771\) | 19.3927 | 0.698413 | ||||||||
\(772\) | −1.33034 | − | 4.96491i | −0.0478801 | − | 0.178691i | ||||
\(773\) | −23.3328 | − | 6.25202i | −0.839224 | − | 0.224869i | −0.186490 | − | 0.982457i | \(-0.559711\pi\) |
−0.652734 | + | 0.757587i | \(0.726378\pi\) | |||||||
\(774\) | −3.16693 | + | 1.82843i | −0.113833 | + | 0.0657215i | ||||
\(775\) | −16.4174 | + | 4.82891i | −0.589731 | + | 0.173460i | ||||
\(776\) | − | 4.47871i | − | 0.160776i | ||||||
\(777\) | 8.00631 | − | 2.19298i | 0.287225 | − | 0.0786726i | ||||
\(778\) | −15.3949 | − | 15.3949i | −0.551934 | − | 0.551934i | ||||
\(779\) | 1.33985 | + | 0.773565i | 0.0480052 | + | 0.0277158i | ||||
\(780\) | −6.11273 | − | 4.57371i | −0.218871 | − | 0.163765i | ||||
\(781\) | 5.95099 | + | 10.3074i | 0.212943 | + | 0.368828i | ||||
\(782\) | 33.5296 | − | 8.98424i | 1.19902 | − | 0.321276i | ||||
\(783\) | −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 | ||||
\(787\) | 3.28689 | − | 12.2669i | 0.117165 | − | 0.437266i | −0.882275 | − | 0.470735i | \(-0.843989\pi\) |
0.999440 | + | 0.0334688i | \(0.0106554\pi\) | |||||||
\(788\) | −0.490633 | + | 1.83107i | −0.0174781 | + | 0.0652290i | ||||
\(789\) | −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 | ||||
\(793\) | −17.0524 | + | 4.56917i | −0.605547 | + | 0.162256i | ||||
\(794\) | 15.8494 | + | 27.4520i | 0.562475 | + | 0.974236i | ||||
\(795\) | −10.4850 | − | 7.84514i | −0.371864 | − | 0.278238i | ||||
\(796\) | −12.5599 | − | 7.25148i | −0.445175 | − | 0.257022i | ||||
\(797\) | 8.99183 | + | 8.99183i | 0.318507 | + | 0.318507i | 0.848193 | − | 0.529687i | \(-0.177690\pi\) |
−0.529687 | + | 0.848193i | \(0.677690\pi\) | |||||||
\(798\) | −1.49032 | + | 5.68801i | −0.0527566 | + | 0.201353i | ||||
\(799\) | 30.8957i | 1.09301i | ||||||||
\(800\) | 4.38951 | + | 2.39420i | 0.155193 | + | 0.0846477i | ||||
\(801\) | 8.46421 | − | 4.88682i | 0.299068 | − | 0.172667i | ||||
\(802\) | 13.4945 | + | 3.61585i | 0.476508 | + | 0.127680i | ||||
\(803\) | 1.70216 | + | 6.35256i | 0.0600681 | + | 0.224177i | ||||
\(804\) | −16.0821 | −0.567171 | ||||||||
\(805\) | 28.7052 | − | 12.4892i | 1.01173 | − | 0.440187i | ||||
\(806\) | 9.94828 | 0.350413 | ||||||||
\(807\) | 2.72348 | + | 10.1642i | 0.0958710 | + | 0.357796i | ||||
\(808\) | 10.8006 | + | 2.89402i | 0.379965 | + | 0.101811i | ||||
\(809\) | −23.7782 | + | 13.7284i | −0.835997 | + | 0.482663i | −0.855902 | − | 0.517139i | \(-0.826997\pi\) |
0.0199044 | + | 0.999802i | \(0.493664\pi\) | |||||||
\(810\) | 2.09314 | + | 2.66037i | 0.0735455 | + | 0.0934758i | ||||
\(811\) | 12.7335i | 0.447132i | 0.974689 | + | 0.223566i | \(0.0717699\pi\) | ||||
−0.974689 | + | 0.223566i | \(0.928230\pi\) | |||||||
\(812\) | −18.0300 | + | 18.2312i | −0.632727 | + | 0.639789i | ||||
\(813\) | −18.9789 | − | 18.9789i | −0.665620 | − | 0.665620i | ||||
\(814\) | 1.71893 | + | 0.992425i | 0.0602485 | + | 0.0347845i | ||||
\(815\) | 3.87799 | + | 26.9274i | 0.135840 | + | 0.943226i | ||||
\(816\) | 3.85282 | + | 6.67328i | 0.134876 | + | 0.233611i | ||||
\(817\) | −4.12473 | + | 1.10522i | −0.144306 | + | 0.0386666i | ||||
\(818\) | −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 | 0.469948 | + | 0.882694i | \(0.344273\pi\) |
−0.999410 | + | 0.0343601i | \(0.989061\pi\) | |||||||
\(822\) | −2.83022 | + | 10.5625i | −0.0987153 | + | 0.368410i | ||||
\(823\) | 2.63314 | − | 9.82702i | 0.0917856 | − | 0.342549i | −0.904727 | − | 0.425992i | \(-0.859925\pi\) |
0.996513 | + | 0.0834435i | \(0.0265918\pi\) | |||||||
\(824\) | −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 | \(0.378532\pi\) | |||||||
\(828\) | 8.28144 | − | 2.21901i | 0.287800 | − | 0.0771158i | ||||
\(829\) | −3.17447 | − | 5.49835i | −0.110254 | − | 0.190966i | 0.805619 | − | 0.592435i | \(-0.201833\pi\) |
−0.915873 | + | 0.401469i | \(0.868500\pi\) | |||||||
\(830\) | 17.4960 | − | 23.3833i | 0.607295 | − | 0.811645i | ||||
\(831\) | −21.9046 | − | 12.6466i | −0.759861 | − | 0.438706i | ||||
\(832\) | −2.05532 | − | 2.05532i | −0.0712555 | − | 0.0712555i | ||||
\(833\) | −12.3768 | − | 44.2216i | −0.428830 | − | 1.53219i | ||||
\(834\) | − | 26.0429i | − | 0.901792i | ||||||
\(835\) | −3.61765 | + | 2.84632i | −0.125194 | + | 0.0985009i | ||||
\(836\) | −1.21757 | + | 0.702966i | −0.0421106 | + | 0.0243126i | ||||
\(837\) | −17.9416 | − | 4.80743i | −0.620151 | − | 0.166169i | ||||
\(838\) | 8.17206 | + | 30.4985i | 0.282299 | + | 1.05355i | ||||
\(839\) | 39.7411 | 1.37202 | 0.686008 | − | 0.727594i | \(-0.259362\pi\) | ||||
0.686008 | + | 0.727594i | \(0.259362\pi\) | |||||||
\(840\) | 4.32717 | + | 5.43744i | 0.149302 | + | 0.187610i | ||||
\(841\) | −64.9222 | −2.23870 | ||||||||
\(842\) | 3.50878 | + | 13.0949i | 0.120921 | + | 0.451282i | ||||
\(843\) | −6.40914 | − | 1.71732i | −0.220742 | − | 0.0591478i | ||||
\(844\) | −8.68832 | + | 5.01621i | −0.299064 | + | 0.172665i | ||||
\(845\) | 10.1053 | + | 1.20585i | 0.347633 | + | 0.0414824i | ||||
\(846\) | 7.63089i | 0.262355i | ||||||||
\(847\) | 26.7398 | + | 7.00609i | 0.918790 | + | 0.240732i | ||||
\(848\) | −3.52543 | − | 3.52543i | −0.121064 | − | 0.121064i | ||||
\(849\) | −2.97899 | − | 1.71992i | −0.102239 | − | 0.0590276i | ||||
\(850\) | −31.8797 | − | 7.71818i | −1.09346 | − | 0.264731i | ||||
\(851\) | −7.06707 | − | 12.2405i | −0.242256 | − | 0.419600i | ||||
\(852\) | 18.1730 | − | 4.86945i | 0.622598 | − | 0.166825i | ||||
\(853\) | 17.1451 | − | 17.1451i | 0.587036 | − | 0.587036i | −0.349791 | − | 0.936828i | \(-0.613748\pi\) |
0.936828 | + | 0.349791i | \(0.113748\pi\) | |||||||
\(854\) | 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 | ||||
\(857\) | 4.35890 | − | 16.2677i | 0.148897 | − | 0.555692i | −0.850654 | − | 0.525727i | \(-0.823794\pi\) |
0.999551 | − | 0.0299658i | \(-0.00953983\pi\) | |||||||
\(858\) | 0.656625 | − | 2.45056i | 0.0224168 | − | 0.0836607i | ||||
\(859\) | −15.4345 | + | 26.7333i | −0.526619 | + | 0.912130i | 0.472900 | + | 0.881116i | \(0.343207\pi\) |
−0.999519 | + | 0.0310142i | \(0.990126\pi\) | |||||||
\(860\) | −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 | ||||
\(863\) | 1.24908 | − | 0.334691i | 0.0425193 | − | 0.0113930i | −0.237497 | − | 0.971388i | \(-0.576327\pi\) |
0.280016 | + | 0.959995i | \(0.409660\pi\) | |||||||
\(864\) | 2.71352 | + | 4.69996i | 0.0923160 | + | 0.159896i | ||||
\(865\) | 20.8223 | − | 2.99875i | 0.707978 | − | 0.101960i | ||||
\(866\) | −14.7624 | − | 8.52308i | −0.501647 | − | 0.289626i | ||||
\(867\) | −21.6244 | − | 21.6244i | −0.734404 | − | 0.734404i | ||||
\(868\) | −8.75960 | − | 2.29510i | −0.297320 | − | 0.0779008i | ||||
\(869\) | − | 4.89152i | − | 0.165934i | ||||||
\(870\) | −3.01604 | + | 25.2752i | −0.102253 | + | 0.856909i | ||||
\(871\) | −34.4645 | + | 19.8981i | −1.16778 | + | 0.674221i | ||||
\(872\) | 8.65516 | + | 2.31914i | 0.293101 | + | 0.0785361i | ||||
\(873\) | 1.87819 | + | 7.00950i | 0.0635671 | + | 0.237236i | ||||
\(874\) | 10.0117 | 0.338649 | ||||||||
\(875\) | −29.4635 | − | 2.62772i | −0.996047 | − | 0.0888332i | ||||
\(876\) | 10.3961 | 0.351251 | ||||||||
\(877\) | 2.51177 | + | 9.37406i | 0.0848165 | + | 0.316540i | 0.995279 | − | 0.0970513i | \(-0.0309411\pi\) |
−0.910463 | + | 0.413591i | \(0.864274\pi\) | |||||||
\(878\) | −33.8534 | − | 9.07099i | −1.14250 | − | 0.306131i | ||||
\(879\) | −15.5189 | + | 8.95985i | −0.523440 | + | 0.302208i | ||||
\(880\) | −0.196874 | + | 1.64985i | −0.00663662 | + | 0.0556166i | ||||
\(881\) | − | 18.3500i | − | 0.618227i | −0.951025 | − | 0.309113i | \(-0.899968\pi\) | ||
0.951025 | − | 0.309113i | \(-0.100032\pi\) | |||||||
\(882\) | −3.05693 | − | 10.9222i | −0.102932 | − | 0.367771i | ||||
\(883\) | 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 | ||||
\(885\) | 6.62858 | − | 0.954624i | 0.222817 | − | 0.0320893i | ||||
\(886\) | −0.0315340 | − | 0.0546184i | −0.00105940 | − | 0.00183494i | ||||
\(887\) | 37.5247 | − | 10.0547i | 1.25996 | − | 0.337604i | 0.433781 | − | 0.901018i | \(-0.357179\pi\) |
0.826175 | + | 0.563414i | \(0.190512\pi\) | |||||||
\(888\) | 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 | ||||
\(892\) | −1.14843 | + | 4.28599i | −0.0384522 | + | 0.143506i | ||||
\(893\) | −2.30629 | + | 8.60721i | −0.0771772 | + | 0.288029i | ||||
\(894\) | −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 | ||||
\(898\) | 23.6851 | − | 6.34642i | 0.790384 | − | 0.211783i | ||||
\(899\) | −16.5847 | − | 28.7255i | −0.553130 | − | 0.958049i | ||||
\(900\) | −7.87392 | − | 1.90630i | −0.262464 | − | 0.0635435i | ||||
\(901\) | 28.3251 | + | 16.3535i | 0.943644 | + | 0.544813i | ||||
\(902\) | 0.429644 | + | 0.429644i | 0.0143056 | + | 0.0143056i | ||||
\(903\) | −4.93201 | + | 4.98705i | −0.164127 | + | 0.165959i | ||||
\(904\) | 0.435281i | 0.0144772i | ||||||||
\(905\) | −39.7104 | − | 4.73856i | −1.32002 | − | 0.157515i | ||||
\(906\) | 20.2893 | − | 11.7140i | 0.674067 | − | 0.389173i | ||||
\(907\) | −33.5044 | − | 8.97748i | −1.11250 | − | 0.298092i | −0.344653 | − | 0.938730i | \(-0.612003\pi\) |
−0.767843 | + | 0.640638i | \(0.778670\pi\) | |||||||
\(908\) | 0.173634 | + | 0.648012i | 0.00576226 | + | 0.0215050i | ||||
\(909\) | −18.1174 | −0.600916 | ||||||||
\(910\) | 16.0010 | + | 6.29871i | 0.530427 | + | 0.208800i | ||||
\(911\) | 48.1523 | 1.59536 | 0.797678 | − | 0.603083i | \(-0.206061\pi\) | ||||
0.797678 | + | 0.603083i | \(0.206061\pi\) | |||||||
\(912\) | 0.575209 | + | 2.14671i | 0.0190471 | + | 0.0710846i | ||||
\(913\) | 9.37422 | + | 2.51182i | 0.310242 | + | 0.0831290i | ||||
\(914\) | 17.3839 | − | 10.0366i | 0.575007 | − | 0.331980i | ||||
\(915\) | 12.5371 | − | 9.86405i | 0.414465 | − | 0.326095i | ||||
\(916\) | 13.2033i | 0.436250i | ||||||||
\(917\) | 6.43273 | − | 24.5515i | 0.212428 | − | 0.810761i | ||||
\(918\) | −25.1745 | − | 25.1745i | −0.830884 | − | 0.830884i | ||||
\(919\) | −15.4242 | − | 8.90515i | −0.508797 | − | 0.293754i | 0.223542 | − | 0.974694i | \(-0.428238\pi\) |
−0.732339 | + | 0.680940i | \(0.761571\pi\) | |||||||
\(920\) | 7.08843 | − | 9.47364i | 0.233699 | − | 0.312337i | ||||
\(921\) | 5.72435 | + | 9.91487i | 0.188624 | + | 0.326706i | ||||
\(922\) | −11.2955 | + | 3.02662i | −0.371997 | + | 0.0996763i | ||||
\(923\) | 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 | ||||
\(927\) | 1.01744 | − | 3.79713i | 0.0334171 | − | 0.124714i | ||||
\(928\) | −2.50831 | + | 9.36112i | −0.0823392 | + | 0.307294i | ||||
\(929\) | −16.1326 | + | 27.9424i | −0.529292 | + | 0.916761i | 0.470124 | + | 0.882600i | \(0.344209\pi\) |
−0.999416 | + | 0.0341607i | \(0.989124\pi\) | |||||||
\(930\) | −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 | ||||
\(933\) | −0.142980 | + | 0.0383114i | −0.00468096 | + | 0.00125426i | ||||
\(934\) | 10.4604 | + | 18.1180i | 0.342276 | + | 0.592839i | ||||
\(935\) | −1.55376 | − | 10.7887i | −0.0508133 | − | 0.352830i | ||||
\(936\) | 4.07864 | + | 2.35481i | 0.133315 | + | 0.0769692i | ||||
\(937\) | 28.9650 | + | 28.9650i | 0.946244 | + | 0.946244i | 0.998627 | − | 0.0523829i | \(-0.0166816\pi\) |
−0.0523829 | + | 0.998627i | \(0.516682\pi\) | |||||||
\(938\) | 34.9370 | − | 9.56947i | 1.14073 | − | 0.312454i | ||||
\(939\) | − | 13.7359i | − | 0.448254i | ||||||
\(940\) | 6.51177 | + | 8.27641i | 0.212390 | + | 0.269947i | ||||
\(941\) | 30.8629 | − | 17.8187i | 1.00610 | − | 0.580874i | 0.0960550 | − | 0.995376i | \(-0.469378\pi\) |
0.910048 | + | 0.414502i | \(0.136044\pi\) | |||||||
\(942\) | 8.46784 | + | 2.26895i | 0.275897 | + | 0.0739264i | ||||
\(943\) | −1.11985 | − | 4.17936i | −0.0364675 | − | 0.136099i | ||||
\(944\) | 2.54975 | 0.0829873 | ||||||||
\(945\) | −25.8137 | − | 19.0920i | −0.839720 | − | 0.621062i | ||||
\(946\) | −1.67706 | −0.0545259 | ||||||||
\(947\) | 3.61149 | + | 13.4783i | 0.117358 | + | 0.437985i | 0.999452 | − | 0.0330871i | \(-0.0105339\pi\) |
−0.882095 | + | 0.471072i | \(0.843867\pi\) | |||||||
\(948\) | −7.46883 | − | 2.00127i | −0.242576 | − | 0.0649982i | ||||
\(949\) | 22.2792 | − | 12.8629i | 0.723214 | − | 0.417548i | ||||
\(950\) | −8.30519 | − | 4.52995i | −0.269456 | − | 0.146971i | ||||
\(951\) | − | 12.8576i | − | 0.416935i | ||||||
\(952\) | −12.3408 | − | 12.2046i | −0.399968 | − | 0.395553i | ||||
\(953\) | 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 | ||||
\(955\) | −4.96916 | − | 3.71806i | −0.160798 | − | 0.120314i | ||||
\(956\) | 2.00147 | + | 3.46665i | 0.0647322 | + | 0.112120i | ||||
\(957\) | −8.17061 | + | 2.18931i | −0.264118 | + | 0.0707703i | ||||
\(958\) | −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 | ||||
\(962\) | 2.00950 | − | 7.49956i | 0.0647889 | − | 0.241796i | ||||
\(963\) | −2.78475 | + | 10.3928i | −0.0897373 | + | 0.334904i | ||||
\(964\) | 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 | \(0.967851\pi\) | |||||||
\(968\) | 10.0918 | − | 2.70410i | 0.324364 | − | 0.0869131i | ||||
\(969\) | −7.28974 | − | 12.6262i | −0.234180 | − | 0.405612i | ||||
\(970\) | 8.01859 | + | 5.99972i | 0.257461 | + | 0.192639i | ||||
\(971\) | 4.07547 | + | 2.35297i | 0.130788 | + | 0.0755105i | 0.563966 | − | 0.825798i | \(-0.309275\pi\) |
−0.433179 | + | 0.901308i | \(0.642608\pi\) | |||||||
\(972\) | −10.2551 | − | 10.2551i | −0.328934 | − | 0.328934i | ||||
\(973\) | 15.4966 | + | 56.5762i | 0.496797 | + | 1.81375i | ||||
\(974\) | 2.55599i | 0.0818993i | ||||||||
\(975\) | 16.3773 | − | 4.81712i | 0.524494 | − | 0.154271i | ||||
\(976\) | 5.25989 | − | 3.03680i | 0.168365 | − | 0.0972055i | ||||
\(977\) | 26.5853 | + | 7.12351i | 0.850540 | + | 0.227901i | 0.657654 | − | 0.753320i | \(-0.271549\pi\) |
0.192885 | + | 0.981221i | \(0.438215\pi\) | |||||||
\(978\) | 3.69879 | + | 13.8041i | 0.118274 | + | 0.441405i | ||||
\(979\) | 4.48226 | 0.143254 | ||||||||
\(980\) | −12.6359 | − | 9.23758i | −0.403640 | − | 0.295084i | ||||
\(981\) | −14.5185 | −0.463539 | ||||||||
\(982\) | −3.77017 | − | 14.0704i | −0.120311 | − | 0.449006i | ||||
\(983\) | 43.3874 | + | 11.6256i | 1.38384 | + | 0.370799i | 0.872515 | − | 0.488587i | \(-0.162487\pi\) |
0.511327 | + | 0.859386i | \(0.329154\pi\) | |||||||
\(984\) | 0.831801 | − | 0.480241i | 0.0265168 | − | 0.0153095i | ||||
\(985\) | −2.62104 | − | 3.33133i | −0.0835134 | − | 0.106145i | ||||
\(986\) | − | 63.5766i | − | 2.02469i | ||||||
\(987\) | 3.86654 | + | 14.1163i | 0.123073 | + | 0.449326i | ||||
\(988\) | 3.88878 | + | 3.88878i | 0.123719 | + | 0.123719i | ||||
\(989\) | 10.3424 | + | 5.97118i | 0.328869 | + | 0.189872i | ||||
\(990\) | −0.383760 | − | 2.66470i | −0.0121967 | − | 0.0846897i | ||||
\(991\) | 3.08498 | + | 5.34334i | 0.0979975 | + | 0.169737i | 0.910856 | − | 0.412725i | \(-0.135423\pi\) |
−0.812858 | + | 0.582462i | \(0.802090\pi\) | |||||||
\(992\) | −3.30595 | + | 0.885827i | −0.104964 | + | 0.0281250i | ||||
\(993\) | 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 | ||||
\(997\) | 4.87184 | − | 18.1820i | 0.154293 | − | 0.575829i | −0.844872 | − | 0.534968i | \(-0.820324\pi\) |
0.999165 | − | 0.0408602i | \(-0.0130098\pi\) | |||||||
\(998\) | −7.78721 | + | 29.0623i | −0.246500 | + | 0.919950i | ||||
\(999\) | −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.33.2 | yes | 16 | |
3.2 | odd | 2 | 630.2.bv.c.523.3 | 16 | |||
4.3 | odd | 2 | 560.2.ci.c.33.2 | 16 | |||
5.2 | odd | 4 | inner | 70.2.k.a.47.4 | yes | 16 | |
5.3 | odd | 4 | 350.2.o.c.257.1 | 16 | |||
5.4 | even | 2 | 350.2.o.c.243.3 | 16 | |||
7.2 | even | 3 | 490.2.g.c.293.2 | 16 | |||
7.3 | odd | 6 | inner | 70.2.k.a.3.4 | ✓ | 16 | |
7.4 | even | 3 | 490.2.l.c.423.3 | 16 | |||
7.5 | odd | 6 | 490.2.g.c.293.3 | 16 | |||
7.6 | odd | 2 | 490.2.l.c.313.1 | 16 | |||
15.2 | even | 4 | 630.2.bv.c.397.2 | 16 | |||
20.7 | even | 4 | 560.2.ci.c.257.2 | 16 | |||
21.17 | even | 6 | 630.2.bv.c.73.2 | 16 | |||
28.3 | even | 6 | 560.2.ci.c.353.2 | 16 | |||
35.2 | odd | 12 | 490.2.g.c.97.3 | 16 | |||
35.3 | even | 12 | 350.2.o.c.157.3 | 16 | |||
35.12 | even | 12 | 490.2.g.c.97.2 | 16 | |||
35.17 | even | 12 | inner | 70.2.k.a.17.2 | yes | 16 | |
35.24 | odd | 6 | 350.2.o.c.143.1 | 16 | |||
35.27 | even | 4 | 490.2.l.c.117.3 | 16 | |||
35.32 | odd | 12 | 490.2.l.c.227.1 | 16 | |||
105.17 | odd | 12 | 630.2.bv.c.577.3 | 16 | |||
140.87 | odd | 12 | 560.2.ci.c.17.2 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
70.2.k.a.3.4 | ✓ | 16 | 7.3 | odd | 6 | inner | |
70.2.k.a.17.2 | yes | 16 | 35.17 | even | 12 | inner | |
70.2.k.a.33.2 | yes | 16 | 1.1 | even | 1 | trivial | |
70.2.k.a.47.4 | yes | 16 | 5.2 | odd | 4 | inner | |
350.2.o.c.143.1 | 16 | 35.24 | odd | 6 | |||
350.2.o.c.157.3 | 16 | 35.3 | even | 12 | |||
350.2.o.c.243.3 | 16 | 5.4 | even | 2 | |||
350.2.o.c.257.1 | 16 | 5.3 | odd | 4 | |||
490.2.g.c.97.2 | 16 | 35.12 | even | 12 | |||
490.2.g.c.97.3 | 16 | 35.2 | odd | 12 | |||
490.2.g.c.293.2 | 16 | 7.2 | even | 3 | |||
490.2.g.c.293.3 | 16 | 7.5 | odd | 6 | |||
490.2.l.c.117.3 | 16 | 35.27 | even | 4 | |||
490.2.l.c.227.1 | 16 | 35.32 | odd | 12 | |||
490.2.l.c.313.1 | 16 | 7.6 | odd | 2 | |||
490.2.l.c.423.3 | 16 | 7.4 | even | 3 | |||
560.2.ci.c.17.2 | 16 | 140.87 | odd | 12 | |||
560.2.ci.c.33.2 | 16 | 4.3 | odd | 2 | |||
560.2.ci.c.257.2 | 16 | 20.7 | even | 4 | |||
560.2.ci.c.353.2 | 16 | 28.3 | even | 6 | |||
630.2.bv.c.73.2 | 16 | 21.17 | even | 6 | |||
630.2.bv.c.397.2 | 16 | 15.2 | even | 4 | |||
630.2.bv.c.523.3 | 16 | 3.2 | odd | 2 | |||
630.2.bv.c.577.3 | 16 | 105.17 | odd | 12 |