Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(11,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([16, 21, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.w (of order \(32\), degree \(16\), 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: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(992\) |
Relative dimension: | \(62\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 107.36 | ||
Character | \(\chi\) | \(=\) | 384.107 |
Dual form | 384.2.w.a.323.36 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{13}{32}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.348649 | + | 1.37056i | 0.246532 | + | 0.969135i | ||||
\(3\) | 0.545128 | + | 1.64403i | 0.314730 | + | 0.949181i | ||||
\(4\) | −1.75689 | + | 0.955692i | −0.878444 | + | 0.477846i | ||||
\(5\) | −2.82396 | + | 0.856639i | −1.26291 | + | 0.383101i | −0.849571 | − | 0.527475i | \(-0.823139\pi\) |
−0.413343 | + | 0.910575i | \(0.635639\pi\) | |||||||
\(6\) | −2.06319 | + | 1.32032i | −0.842293 | + | 0.539019i | ||||
\(7\) | −0.0745750 | + | 0.374914i | −0.0281867 | + | 0.141704i | −0.992316 | − | 0.123729i | \(-0.960515\pi\) |
0.964129 | + | 0.265433i | \(0.0855148\pi\) | |||||||
\(8\) | −1.92237 | − | 2.07472i | −0.679662 | − | 0.733526i | ||||
\(9\) | −2.40567 | + | 1.79241i | −0.801891 | + | 0.597471i | ||||
\(10\) | −2.15865 | − | 3.57175i | −0.682625 | − | 1.12949i | ||||
\(11\) | 0.231027 | − | 2.34566i | 0.0696573 | − | 0.707242i | −0.895410 | − | 0.445242i | \(-0.853118\pi\) |
0.965068 | − | 0.262001i | \(-0.0843822\pi\) | |||||||
\(12\) | −2.52891 | − | 2.36740i | −0.730035 | − | 0.683410i | ||||
\(13\) | 3.12979 | + | 0.949411i | 0.868048 | + | 0.263319i | 0.692734 | − | 0.721193i | \(-0.256406\pi\) |
0.175314 | + | 0.984513i | \(0.443906\pi\) | |||||||
\(14\) | −0.539844 | + | 0.0285037i | −0.144279 | + | 0.00761795i | ||||
\(15\) | −2.94776 | − | 4.17570i | −0.761108 | − | 1.07816i | ||||
\(16\) | 2.17331 | − | 3.35809i | 0.543326 | − | 0.839522i | ||||
\(17\) | −0.745322 | + | 0.308723i | −0.180767 | + | 0.0748762i | −0.471231 | − | 0.882010i | \(-0.656190\pi\) |
0.290464 | + | 0.956886i | \(0.406190\pi\) | |||||||
\(18\) | −3.29535 | − | 2.67220i | −0.776722 | − | 0.629844i | ||||
\(19\) | 0.936386 | − | 0.500509i | 0.214822 | − | 0.114825i | −0.360477 | − | 0.932768i | \(-0.617386\pi\) |
0.575298 | + | 0.817944i | \(0.304886\pi\) | |||||||
\(20\) | 4.14270 | − | 4.20386i | 0.926335 | − | 0.940011i | ||||
\(21\) | −0.657023 | + | 0.0817723i | −0.143374 | + | 0.0178442i | ||||
\(22\) | 3.29542 | − | 0.501175i | 0.702586 | − | 0.106851i | ||||
\(23\) | −5.22949 | + | 7.82648i | −1.09042 | + | 1.63193i | −0.385402 | + | 0.922749i | \(0.625937\pi\) |
−0.705022 | + | 0.709185i | \(0.749063\pi\) | |||||||
\(24\) | 2.36297 | − | 4.29143i | 0.482339 | − | 0.875985i | ||||
\(25\) | 3.08357 | − | 2.06038i | 0.616715 | − | 0.412076i | ||||
\(26\) | −0.210029 | + | 4.62059i | −0.0411901 | + | 0.906172i | ||||
\(27\) | −4.25818 | − | 2.97790i | −0.819487 | − | 0.573098i | ||||
\(28\) | −0.227282 | − | 0.729952i | −0.0429523 | − | 0.137948i | ||||
\(29\) | 0.407758 | + | 4.14004i | 0.0757188 | + | 0.768786i | 0.955811 | + | 0.293983i | \(0.0949807\pi\) |
−0.880092 | + | 0.474803i | \(0.842519\pi\) | |||||||
\(30\) | 4.69533 | − | 5.49595i | 0.857245 | − | 1.00342i | ||||
\(31\) | −2.67551 | + | 2.67551i | −0.480536 | + | 0.480536i | −0.905303 | − | 0.424767i | \(-0.860356\pi\) |
0.424767 | + | 0.905303i | \(0.360356\pi\) | |||||||
\(32\) | 5.36019 | + | 1.80786i | 0.947557 | + | 0.319587i | ||||
\(33\) | 3.98227 | − | 0.898867i | 0.693224 | − | 0.156473i | ||||
\(34\) | −0.682980 | − | 0.913875i | −0.117130 | − | 0.156728i | ||||
\(35\) | −0.110569 | − | 1.12263i | −0.0186896 | − | 0.189759i | ||||
\(36\) | 2.51350 | − | 5.44815i | 0.418917 | − | 0.908025i | ||||
\(37\) | −5.34624 | − | 2.85762i | −0.878916 | − | 0.469791i | −0.0307540 | − | 0.999527i | \(-0.509791\pi\) |
−0.848162 | + | 0.529736i | \(0.822291\pi\) | |||||||
\(38\) | 1.01245 | + | 1.10887i | 0.164241 | + | 0.179883i | ||||
\(39\) | 0.145274 | + | 5.66302i | 0.0232624 | + | 0.906809i | ||||
\(40\) | 7.20600 | + | 4.21216i | 1.13937 | + | 0.666000i | ||||
\(41\) | −1.74994 | + | 2.61897i | −0.273294 | + | 0.409014i | −0.942574 | − | 0.333996i | \(-0.891603\pi\) |
0.669280 | + | 0.743010i | \(0.266603\pi\) | |||||||
\(42\) | −0.341145 | − | 0.871982i | −0.0526398 | − | 0.134550i | ||||
\(43\) | 5.57238 | + | 6.78997i | 0.849780 | + | 1.03546i | 0.998912 | + | 0.0466430i | \(0.0148523\pi\) |
−0.149131 | + | 0.988817i | \(0.547648\pi\) | |||||||
\(44\) | 1.83584 | + | 4.34185i | 0.276763 | + | 0.654558i | ||||
\(45\) | 5.25807 | − | 7.12249i | 0.783827 | − | 1.06176i | ||||
\(46\) | −12.5499 | − | 4.43865i | −1.85039 | − | 0.654443i | ||||
\(47\) | −10.9974 | + | 4.55527i | −1.60413 | + | 0.664454i | −0.991993 | − | 0.126295i | \(-0.959691\pi\) |
−0.612141 | + | 0.790749i | \(0.709691\pi\) | |||||||
\(48\) | 6.70552 | + | 1.74239i | 0.967859 | + | 0.251493i | ||||
\(49\) | 6.33216 | + | 2.62287i | 0.904594 | + | 0.374695i | ||||
\(50\) | 3.89897 | + | 3.50788i | 0.551397 | + | 0.496090i | ||||
\(51\) | −0.913845 | − | 1.05704i | −0.127964 | − | 0.148015i | ||||
\(52\) | −6.40603 | + | 1.32311i | −0.888357 | + | 0.183482i | ||||
\(53\) | 0.956915 | − | 9.71572i | 0.131442 | − | 1.33456i | −0.672610 | − | 0.739998i | \(-0.734827\pi\) |
0.804052 | − | 0.594559i | \(-0.202673\pi\) | |||||||
\(54\) | 2.59679 | − | 6.87435i | 0.353379 | − | 0.935480i | ||||
\(55\) | 1.35697 | + | 6.82195i | 0.182974 | + | 0.919871i | ||||
\(56\) | 0.921204 | − | 0.566002i | 0.123101 | − | 0.0756353i | ||||
\(57\) | 1.33330 | + | 1.26661i | 0.176600 | + | 0.167766i | ||||
\(58\) | −5.53202 | + | 2.00228i | −0.726390 | + | 0.262912i | ||||
\(59\) | 11.2313 | − | 3.40698i | 1.46219 | − | 0.443552i | 0.543798 | − | 0.839216i | \(-0.316986\pi\) |
0.918395 | + | 0.395664i | \(0.129486\pi\) | |||||||
\(60\) | 9.16956 | + | 4.51908i | 1.18379 | + | 0.583411i | ||||
\(61\) | 1.86997 | − | 2.27857i | 0.239425 | − | 0.291741i | −0.639410 | − | 0.768866i | \(-0.720821\pi\) |
0.878835 | + | 0.477125i | \(0.158321\pi\) | |||||||
\(62\) | −4.59978 | − | 2.73414i | −0.584172 | − | 0.347237i | ||||
\(63\) | −0.492598 | − | 1.03559i | −0.0620615 | − | 0.130472i | ||||
\(64\) | −0.608955 | + | 7.97679i | −0.0761194 | + | 0.997099i | ||||
\(65\) | −9.65171 | −1.19715 | ||||||||
\(66\) | 2.62037 | + | 5.14456i | 0.322545 | + | 0.633252i | ||||
\(67\) | 1.44003 | + | 1.18180i | 0.175928 | + | 0.144380i | 0.718236 | − | 0.695799i | \(-0.244950\pi\) |
−0.542309 | + | 0.840179i | \(0.682450\pi\) | |||||||
\(68\) | 1.01440 | − | 1.25469i | 0.123014 | − | 0.152153i | ||||
\(69\) | −15.7177 | − | 4.33101i | −1.89219 | − | 0.521392i | ||||
\(70\) | 1.50008 | − | 0.542945i | 0.179294 | − | 0.0648943i | ||||
\(71\) | −0.884109 | + | 4.44472i | −0.104924 | + | 0.527491i | 0.892195 | + | 0.451650i | \(0.149164\pi\) |
−0.997120 | + | 0.0758414i | \(0.975836\pi\) | |||||||
\(72\) | 8.34336 | + | 1.54542i | 0.983275 | + | 0.182129i | ||||
\(73\) | 3.73126 | − | 0.742195i | 0.436711 | − | 0.0868673i | 0.0281617 | − | 0.999603i | \(-0.491035\pi\) |
0.408550 | + | 0.912736i | \(0.366035\pi\) | |||||||
\(74\) | 2.05259 | − | 8.32367i | 0.238609 | − | 0.967607i | ||||
\(75\) | 5.06827 | + | 3.94632i | 0.585233 | + | 0.455682i | ||||
\(76\) | −1.16679 | + | 1.77423i | −0.133840 | + | 0.203519i | ||||
\(77\) | 0.862191 | + | 0.261543i | 0.0982558 | + | 0.0298056i | ||||
\(78\) | −7.71088 | + | 2.17352i | −0.873085 | + | 0.246102i | ||||
\(79\) | −0.353489 | + | 0.853397i | −0.0397706 | + | 0.0960147i | −0.942517 | − | 0.334159i | \(-0.891548\pi\) |
0.902746 | + | 0.430174i | \(0.141548\pi\) | |||||||
\(80\) | −3.26066 | + | 11.3448i | −0.364553 | + | 1.26839i | ||||
\(81\) | 2.57451 | − | 8.62391i | 0.286057 | − | 0.958213i | ||||
\(82\) | −4.19957 | − | 1.48530i | −0.463765 | − | 0.164024i | ||||
\(83\) | −6.40718 | + | 3.42471i | −0.703280 | + | 0.375911i | −0.783945 | − | 0.620830i | \(-0.786796\pi\) |
0.0806651 | + | 0.996741i | \(0.474296\pi\) | |||||||
\(84\) | 1.07617 | − | 0.771576i | 0.117419 | − | 0.0841859i | ||||
\(85\) | 1.84030 | − | 1.51029i | 0.199608 | − | 0.163814i | ||||
\(86\) | −7.36327 | + | 10.0046i | −0.794002 | + | 1.07883i | ||||
\(87\) | −6.58407 | + | 2.92722i | −0.705886 | + | 0.313830i | ||||
\(88\) | −5.31071 | + | 4.02991i | −0.566124 | + | 0.429590i | ||||
\(89\) | 5.43895 | − | 3.63419i | 0.576528 | − | 0.385224i | −0.232849 | − | 0.972513i | \(-0.574805\pi\) |
0.809377 | + | 0.587289i | \(0.199805\pi\) | |||||||
\(90\) | 11.5951 | + | 4.72327i | 1.22223 | + | 0.497876i | ||||
\(91\) | −0.589352 | + | 1.10260i | −0.0617809 | + | 0.115584i | ||||
\(92\) | 1.70791 | − | 18.7480i | 0.178062 | − | 1.95462i | ||||
\(93\) | −5.85712 | − | 2.94013i | −0.607355 | − | 0.304877i | ||||
\(94\) | −10.0775 | − | 13.4844i | −1.03942 | − | 1.39081i | ||||
\(95\) | −2.21556 | + | 2.21556i | −0.227312 | + | 0.227312i | ||||
\(96\) | −0.0501846 | + | 9.79783i | −0.00512195 | + | 0.999987i | ||||
\(97\) | −8.45955 | − | 8.45955i | −0.858938 | − | 0.858938i | 0.132275 | − | 0.991213i | \(-0.457772\pi\) |
−0.991213 | + | 0.132275i | \(0.957772\pi\) | |||||||
\(98\) | −1.38710 | + | 9.59308i | −0.140118 | + | 0.969048i | ||||
\(99\) | 3.64861 | + | 6.05698i | 0.366699 | + | 0.608749i | ||||
\(100\) | −3.44841 | + | 6.56680i | −0.344841 | + | 0.656680i | ||||
\(101\) | 13.9516 | + | 7.45729i | 1.38824 | + | 0.742028i | 0.984916 | − | 0.173031i | \(-0.0553560\pi\) |
0.403321 | + | 0.915059i | \(0.367856\pi\) | |||||||
\(102\) | 1.13013 | − | 1.62102i | 0.111899 | − | 0.160505i | ||||
\(103\) | 6.72740 | + | 10.0683i | 0.662871 | + | 0.992056i | 0.998742 | + | 0.0501480i | \(0.0159693\pi\) |
−0.335871 | + | 0.941908i | \(0.609031\pi\) | |||||||
\(104\) | −4.04686 | − | 8.31857i | −0.396827 | − | 0.815703i | ||||
\(105\) | 1.78536 | − | 0.793753i | 0.174233 | − | 0.0774624i | ||||
\(106\) | 13.6496 | − | 2.07587i | 1.32577 | − | 0.201626i | ||||
\(107\) | 1.56733 | + | 1.90980i | 0.151519 | + | 0.184627i | 0.843238 | − | 0.537540i | \(-0.180646\pi\) |
−0.691719 | + | 0.722167i | \(0.743146\pi\) | |||||||
\(108\) | 10.3271 | + | 1.16233i | 0.993726 | + | 0.111846i | ||||
\(109\) | 8.59594 | + | 16.0819i | 0.823342 | + | 1.54036i | 0.841327 | + | 0.540526i | \(0.181775\pi\) |
−0.0179852 | + | 0.999838i | \(0.505725\pi\) | |||||||
\(110\) | −8.87681 | + | 4.23828i | −0.846370 | + | 0.404104i | ||||
\(111\) | 1.78364 | − | 10.3471i | 0.169296 | − | 0.982108i | ||||
\(112\) | 1.09692 | + | 1.06523i | 0.103649 | + | 0.100655i | ||||
\(113\) | 9.26952 | + | 3.83956i | 0.872003 | + | 0.361195i | 0.773390 | − | 0.633931i | \(-0.218560\pi\) |
0.0986127 | + | 0.995126i | \(0.468560\pi\) | |||||||
\(114\) | −1.27111 | + | 2.26898i | −0.119050 | + | 0.212509i | ||||
\(115\) | 8.06340 | − | 26.5815i | 0.751916 | − | 2.47873i | ||||
\(116\) | −4.67299 | − | 6.88389i | −0.433876 | − | 0.639153i | ||||
\(117\) | −9.23098 | + | 3.32590i | −0.853405 | + | 0.307480i | ||||
\(118\) | 8.58528 | + | 14.2054i | 0.790339 | + | 1.30771i | ||||
\(119\) | −0.0601620 | − | 0.302455i | −0.00551504 | − | 0.0277260i | ||||
\(120\) | −2.99673 | + | 14.1430i | −0.273562 | + | 1.29108i | ||||
\(121\) | 5.33991 | + | 1.06217i | 0.485446 | + | 0.0965612i | ||||
\(122\) | 3.77489 | + | 1.76849i | 0.341762 | + | 0.160112i | ||||
\(123\) | −5.25960 | − | 1.44928i | −0.474242 | − | 0.130677i | ||||
\(124\) | 2.14361 | − | 7.25754i | 0.192502 | − | 0.651746i | ||||
\(125\) | 2.41768 | − | 2.94595i | 0.216244 | − | 0.263494i | ||||
\(126\) | 1.24760 | − | 1.03619i | 0.111145 | − | 0.0923115i | ||||
\(127\) | 2.76012i | 0.244921i | 0.992473 | + | 0.122461i | \(0.0390786\pi\) | ||||
−0.992473 | + | 0.122461i | \(0.960921\pi\) | |||||||
\(128\) | −11.1450 | + | 1.94649i | −0.985089 | + | 0.172047i | ||||
\(129\) | −8.12525 | + | 12.8626i | −0.715389 | + | 1.13249i | ||||
\(130\) | −3.36506 | − | 13.2283i | −0.295135 | − | 1.16020i | ||||
\(131\) | 16.0246 | + | 13.1511i | 1.40008 | + | 1.14902i | 0.969104 | + | 0.246651i | \(0.0793301\pi\) |
0.430974 | + | 0.902364i | \(0.358170\pi\) | |||||||
\(132\) | −6.13736 | + | 5.38503i | −0.534189 | + | 0.468707i | ||||
\(133\) | 0.117817 | + | 0.388390i | 0.0102160 | + | 0.0336777i | ||||
\(134\) | −1.11767 | + | 2.38569i | −0.0965520 | + | 0.206092i | ||||
\(135\) | 14.5759 | + | 4.76176i | 1.25450 | + | 0.409827i | ||||
\(136\) | 2.07330 | + | 0.952857i | 0.177784 | + | 0.0817068i | ||||
\(137\) | −2.71768 | + | 0.540581i | −0.232187 | + | 0.0461849i | −0.309812 | − | 0.950798i | \(-0.600266\pi\) |
0.0776251 | + | 0.996983i | \(0.475266\pi\) | |||||||
\(138\) | 0.455947 | − | 23.0521i | 0.0388128 | − | 1.96233i | ||||
\(139\) | −10.8020 | − | 1.06391i | −0.916216 | − | 0.0902394i | −0.371093 | − | 0.928596i | \(-0.621017\pi\) |
−0.545123 | + | 0.838356i | \(0.683517\pi\) | |||||||
\(140\) | 1.26714 | + | 1.86666i | 0.107093 | + | 0.157761i | ||||
\(141\) | −13.4840 | − | 15.5968i | −1.13556 | − | 1.31349i | ||||
\(142\) | −6.40001 | + | 0.337920i | −0.537077 | + | 0.0283577i | ||||
\(143\) | 2.95006 | − | 7.12207i | 0.246696 | − | 0.595578i | ||||
\(144\) | 0.790817 | + | 11.9739i | 0.0659014 | + | 0.997826i | ||||
\(145\) | −4.69801 | − | 11.3420i | −0.390149 | − | 0.941902i | ||||
\(146\) | 2.31813 | + | 4.85517i | 0.191850 | + | 0.401817i | ||||
\(147\) | −0.860237 | + | 11.8401i | −0.0709512 | + | 0.976551i | ||||
\(148\) | 12.1237 | − | 0.0888349i | 0.996566 | − | 0.00730218i | ||||
\(149\) | 13.1553 | − | 10.7963i | 1.07772 | − | 0.884465i | 0.0840160 | − | 0.996464i | \(-0.473225\pi\) |
0.993708 | + | 0.111999i | \(0.0357253\pi\) | |||||||
\(150\) | −3.64164 | + | 8.32226i | −0.297338 | + | 0.679510i | ||||
\(151\) | −2.48099 | − | 1.65774i | −0.201900 | − | 0.134905i | 0.450510 | − | 0.892771i | \(-0.351242\pi\) |
−0.652410 | + | 0.757866i | \(0.726242\pi\) | |||||||
\(152\) | −2.83850 | − | 0.980577i | −0.230233 | − | 0.0795353i | ||||
\(153\) | 1.23964 | − | 2.07861i | 0.100219 | − | 0.168046i | ||||
\(154\) | −0.0578585 | + | 1.27287i | −0.00466237 | + | 0.102571i | ||||
\(155\) | 5.26359 | − | 9.84749i | 0.422782 | − | 0.790970i | ||||
\(156\) | −5.66733 | − | 9.81045i | −0.453750 | − | 0.785465i | ||||
\(157\) | 8.91691 | − | 0.878239i | 0.711647 | − | 0.0700911i | 0.264286 | − | 0.964444i | \(-0.414864\pi\) |
0.447361 | + | 0.894353i | \(0.352364\pi\) | |||||||
\(158\) | −1.29288 | − | 0.186942i | −0.102856 | − | 0.0148723i | ||||
\(159\) | 16.4946 | − | 3.72311i | 1.30811 | − | 0.295262i | ||||
\(160\) | −16.6857 | − | 0.513569i | −1.31912 | − | 0.0406012i | ||||
\(161\) | −2.54427 | − | 2.54427i | −0.200516 | − | 0.200516i | ||||
\(162\) | 12.7172 | + | 0.521813i | 0.999159 | + | 0.0409975i | ||||
\(163\) | −20.2689 | + | 1.99631i | −1.58758 | + | 0.156363i | −0.852909 | − | 0.522059i | \(-0.825164\pi\) |
−0.734672 | + | 0.678422i | \(0.762664\pi\) | |||||||
\(164\) | 0.571517 | − | 6.27363i | 0.0446280 | − | 0.489888i | ||||
\(165\) | −10.4758 | + | 5.94973i | −0.815538 | + | 0.463186i | ||||
\(166\) | −6.92764 | − | 7.58743i | −0.537689 | − | 0.588899i | ||||
\(167\) | −4.06363 | − | 6.08165i | −0.314453 | − | 0.470612i | 0.640253 | − | 0.768165i | \(-0.278830\pi\) |
−0.954705 | + | 0.297552i | \(0.903830\pi\) | |||||||
\(168\) | 1.43270 | + | 1.20594i | 0.110535 | + | 0.0930406i | ||||
\(169\) | −1.91490 | − | 1.27950i | −0.147300 | − | 0.0984228i | ||||
\(170\) | 2.71157 | + | 1.99568i | 0.207968 | + | 0.153062i | ||||
\(171\) | −1.35552 | + | 2.88245i | −0.103659 | + | 0.220427i | ||||
\(172\) | −16.2792 | − | 6.60373i | −1.24127 | − | 0.503529i | ||||
\(173\) | −11.1741 | − | 20.9053i | −0.849550 | − | 1.58940i | −0.807188 | − | 0.590295i | \(-0.799012\pi\) |
−0.0423626 | − | 0.999102i | \(-0.513488\pi\) | |||||||
\(174\) | −6.30746 | − | 8.00331i | −0.478168 | − | 0.606729i | ||||
\(175\) | 0.542507 | + | 1.30973i | 0.0410097 | + | 0.0990062i | ||||
\(176\) | −7.37483 | − | 5.87364i | −0.555898 | − | 0.442742i | ||||
\(177\) | 11.7237 | + | 16.6074i | 0.881206 | + | 1.24829i | ||||
\(178\) | 6.87718 | + | 6.18737i | 0.515466 | + | 0.463763i | ||||
\(179\) | 0.653940 | − | 2.15575i | 0.0488778 | − | 0.161128i | −0.929104 | − | 0.369818i | \(-0.879420\pi\) |
0.977982 | + | 0.208690i | \(0.0669199\pi\) | |||||||
\(180\) | −2.43093 | + | 17.5385i | −0.181191 | + | 1.30724i | ||||
\(181\) | −17.7644 | − | 1.74964i | −1.32042 | − | 0.130050i | −0.586867 | − | 0.809683i | \(-0.699639\pi\) |
−0.733552 | + | 0.679633i | \(0.762139\pi\) | |||||||
\(182\) | −1.71666 | − | 0.423323i | −0.127247 | − | 0.0313788i | ||||
\(183\) | 4.76541 | + | 1.83218i | 0.352269 | + | 0.135439i | ||||
\(184\) | 26.2908 | − | 4.19568i | 1.93818 | − | 0.309310i | ||||
\(185\) | 17.5455 | + | 3.49002i | 1.28997 | + | 0.256591i | ||||
\(186\) | 1.98755 | − | 9.05263i | 0.145734 | − | 0.663771i | ||||
\(187\) | 0.551968 | + | 1.81959i | 0.0403639 | + | 0.133062i | ||||
\(188\) | 14.9677 | − | 18.5132i | 1.09163 | − | 1.35021i | ||||
\(189\) | 1.43401 | − | 1.37437i | 0.104309 | − | 0.0999710i | ||||
\(190\) | −3.80902 | − | 2.26411i | −0.276336 | − | 0.164256i | ||||
\(191\) | 0.443876i | 0.0321177i | 0.999871 | + | 0.0160589i | \(0.00511191\pi\) | ||||
−0.999871 | + | 0.0160589i | \(0.994888\pi\) | |||||||
\(192\) | −13.4460 | + | 3.34723i | −0.970385 | + | 0.241565i | ||||
\(193\) | − | 0.693338i | − | 0.0499076i | −0.999689 | − | 0.0249538i | \(-0.992056\pi\) | ||
0.999689 | − | 0.0249538i | \(-0.00794386\pi\) | |||||||
\(194\) | 8.64494 | − | 14.5438i | 0.620670 | − | 1.04418i | ||||
\(195\) | −5.26141 | − | 15.8677i | −0.376777 | − | 1.13631i | ||||
\(196\) | −13.6315 | + | 1.44351i | −0.973681 | + | 0.103108i | ||||
\(197\) | 2.76860 | + | 9.12685i | 0.197255 | + | 0.650261i | 0.998641 | + | 0.0521143i | \(0.0165960\pi\) |
−0.801387 | + | 0.598147i | \(0.795904\pi\) | |||||||
\(198\) | −7.02938 | + | 7.11241i | −0.499557 | + | 0.505457i | ||||
\(199\) | 0.0877509 | + | 0.0174547i | 0.00622049 | + | 0.00123733i | 0.198200 | − | 0.980162i | \(-0.436491\pi\) |
−0.191979 | + | 0.981399i | \(0.561491\pi\) | |||||||
\(200\) | −10.2025 | − | 2.43675i | −0.721426 | − | 0.172304i | ||||
\(201\) | −1.15792 | + | 3.01169i | −0.0816733 | + | 0.212428i | ||||
\(202\) | −5.35647 | + | 21.7215i | −0.376880 | + | 1.52832i | ||||
\(203\) | −1.58257 | − | 0.155869i | −0.111074 | − | 0.0109399i | ||||
\(204\) | 2.61573 | + | 0.983744i | 0.183137 | + | 0.0688759i | ||||
\(205\) | 2.69824 | − | 8.89492i | 0.188454 | − | 0.621248i | ||||
\(206\) | −11.4537 | + | 12.7306i | −0.798017 | + | 0.886985i | ||||
\(207\) | −1.44785 | − | 28.2013i | −0.100633 | − | 1.96013i | ||||
\(208\) | 9.99019 | − | 8.44674i | 0.692695 | − | 0.585676i | ||||
\(209\) | −0.957692 | − | 2.31207i | −0.0662449 | − | 0.159929i | ||||
\(210\) | 1.71035 | + | 2.17020i | 0.118026 | + | 0.149758i | ||||
\(211\) | −8.99333 | − | 16.8253i | −0.619126 | − | 1.15830i | −0.974671 | − | 0.223644i | \(-0.928205\pi\) |
0.355545 | − | 0.934659i | \(-0.384295\pi\) | |||||||
\(212\) | 7.60405 | + | 17.9839i | 0.522248 | + | 1.23514i | ||||
\(213\) | −7.78920 | + | 0.969435i | −0.533707 | + | 0.0664246i | ||||
\(214\) | −2.07105 | + | 2.81397i | −0.141574 | + | 0.192359i | ||||
\(215\) | −21.5527 | − | 14.4011i | −1.46988 | − | 0.982146i | ||||
\(216\) | 2.00748 | + | 14.5592i | 0.136592 | + | 0.990627i | ||||
\(217\) | −0.803561 | − | 1.20261i | −0.0545493 | − | 0.0816388i | ||||
\(218\) | −19.0443 | + | 17.3882i | −1.28984 | + | 1.17768i | ||||
\(219\) | 3.25420 | + | 5.72972i | 0.219899 | + | 0.387179i | ||||
\(220\) | −8.90373 | − | 10.6885i | −0.600289 | − | 0.720622i | ||||
\(221\) | −2.62581 | + | 0.258619i | −0.176631 | + | 0.0173966i | ||||
\(222\) | 14.8033 | − | 1.16294i | 0.993532 | − | 0.0780512i | ||||
\(223\) | 9.32342 | + | 9.32342i | 0.624342 | + | 0.624342i | 0.946639 | − | 0.322296i | \(-0.104455\pi\) |
−0.322296 | + | 0.946639i | \(0.604455\pi\) | |||||||
\(224\) | −1.07753 | + | 1.87479i | −0.0719953 | + | 0.125265i | ||||
\(225\) | −3.72502 | + | 10.4836i | −0.248335 | + | 0.698909i | ||||
\(226\) | −2.03055 | + | 14.0431i | −0.135070 | + | 0.934134i | ||||
\(227\) | −25.2847 | + | 2.49033i | −1.67821 | + | 0.165289i | −0.891803 | − | 0.452425i | \(-0.850559\pi\) |
−0.786403 | + | 0.617714i | \(0.788059\pi\) | |||||||
\(228\) | −3.55295 | − | 0.951058i | −0.235300 | − | 0.0629854i | ||||
\(229\) | 2.61511 | − | 4.89254i | 0.172812 | − | 0.323308i | −0.780573 | − | 0.625064i | \(-0.785073\pi\) |
0.953385 | + | 0.301756i | \(0.0975728\pi\) | |||||||
\(230\) | 39.2429 | + | 1.78379i | 2.58760 | + | 0.117619i | ||||
\(231\) | 0.0400198 | + | 1.56004i | 0.00263311 | + | 0.102643i | ||||
\(232\) | 7.80557 | − | 8.80469i | 0.512461 | − | 0.578056i | ||||
\(233\) | 18.9899 | + | 12.6886i | 1.24407 | + | 0.831260i | 0.990694 | − | 0.136109i | \(-0.0434596\pi\) |
0.253374 | + | 0.967368i | \(0.418460\pi\) | |||||||
\(234\) | −7.77674 | − | 11.4921i | −0.508381 | − | 0.751260i | ||||
\(235\) | 27.1540 | − | 22.2847i | 1.77133 | − | 1.45369i | ||||
\(236\) | −16.4761 | + | 16.7194i | −1.07251 | + | 1.08834i | ||||
\(237\) | −1.59571 | − | 0.115936i | −0.103652 | − | 0.00753084i | ||||
\(238\) | 0.393558 | − | 0.187906i | 0.0255106 | − | 0.0121802i | ||||
\(239\) | −0.648295 | − | 1.56512i | −0.0419347 | − | 0.101239i | 0.901524 | − | 0.432728i | \(-0.142449\pi\) |
−0.943459 | + | 0.331489i | \(0.892449\pi\) | |||||||
\(240\) | −20.4287 | + | 0.823761i | −1.31867 | + | 0.0531736i | ||||
\(241\) | 7.09867 | − | 17.1377i | 0.457265 | − | 1.10394i | −0.512235 | − | 0.858845i | \(-0.671182\pi\) |
0.969500 | − | 0.245091i | \(-0.0788177\pi\) | |||||||
\(242\) | 0.405979 | + | 7.68900i | 0.0260973 | + | 0.494268i | ||||
\(243\) | 15.5814 | − | 0.468552i | 0.999548 | − | 0.0300576i | ||||
\(244\) | −1.10772 | + | 5.79031i | −0.0709146 | + | 0.370686i | ||||
\(245\) | −20.1286 | − | 1.98250i | −1.28597 | − | 0.126657i | ||||
\(246\) | 0.152573 | − | 7.71390i | 0.00972770 | − | 0.491820i | ||||
\(247\) | 3.40588 | − | 0.677472i | 0.216711 | − | 0.0431065i | ||||
\(248\) | 10.6943 | + | 0.407613i | 0.679088 | + | 0.0258834i | ||||
\(249\) | −9.12306 | − | 8.66670i | −0.578151 | − | 0.549230i | ||||
\(250\) | 4.88053 | + | 2.28648i | 0.308672 | + | 0.144610i | ||||
\(251\) | −7.14486 | − | 23.5534i | −0.450980 | − | 1.48668i | −0.828134 | − | 0.560530i | \(-0.810597\pi\) |
0.377154 | − | 0.926150i | \(-0.376903\pi\) | |||||||
\(252\) | 1.85514 | + | 1.34864i | 0.116863 | + | 0.0849565i | ||||
\(253\) | 17.1501 | + | 14.0747i | 1.07822 | + | 0.884870i | ||||
\(254\) | −3.78293 | + | 0.962316i | −0.237362 | + | 0.0603811i | ||||
\(255\) | 3.48616 | + | 2.20220i | 0.218312 | + | 0.137907i | ||||
\(256\) | −6.55349 | − | 14.5963i | −0.409593 | − | 0.912268i | ||||
\(257\) | − | 3.95566i | − | 0.246747i | −0.992360 | − | 0.123374i | \(-0.960629\pi\) | ||
0.992360 | − | 0.123374i | \(-0.0393714\pi\) | |||||||
\(258\) | −20.4618 | − | 6.65165i | −1.27390 | − | 0.414114i | ||||
\(259\) | 1.47006 | − | 1.79127i | 0.0913451 | − | 0.111304i | ||||
\(260\) | 16.9570 | − | 9.22406i | 1.05163 | − | 0.572052i | ||||
\(261\) | −8.40159 | − | 9.22870i | −0.520045 | − | 0.571242i | ||||
\(262\) | −12.4374 | + | 26.5479i | −0.768385 | + | 1.64013i | ||||
\(263\) | 11.3600 | + | 2.25965i | 0.700488 | + | 0.139336i | 0.532471 | − | 0.846448i | \(-0.321264\pi\) |
0.168017 | + | 0.985784i | \(0.446264\pi\) | |||||||
\(264\) | −9.52031 | − | 6.53415i | −0.585935 | − | 0.402149i | ||||
\(265\) | 5.62058 | + | 28.2565i | 0.345269 | + | 1.73579i | ||||
\(266\) | −0.491236 | + | 0.296887i | −0.0301196 | + | 0.0182033i | ||||
\(267\) | 8.93964 | + | 6.96071i | 0.547097 | + | 0.425988i | ||||
\(268\) | −3.65941 | − | 0.700068i | −0.223534 | − | 0.0427635i | ||||
\(269\) | 7.91740 | − | 26.1002i | 0.482733 | − | 1.59136i | −0.290265 | − | 0.956946i | \(-0.593743\pi\) |
0.772997 | − | 0.634410i | \(-0.218757\pi\) | |||||||
\(270\) | −1.44441 | + | 21.6374i | −0.0879041 | + | 1.31681i | ||||
\(271\) | −22.5640 | − | 9.34632i | −1.37067 | − | 0.567748i | −0.428697 | − | 0.903448i | \(-0.641027\pi\) |
−0.941969 | + | 0.335700i | \(0.891027\pi\) | |||||||
\(272\) | −0.583096 | + | 3.17380i | −0.0353554 | + | 0.192440i | ||||
\(273\) | −2.13398 | − | 0.367855i | −0.129154 | − | 0.0222636i | ||||
\(274\) | −1.68842 | − | 3.53628i | −0.102001 | − | 0.213635i | ||||
\(275\) | −4.12055 | − | 7.70901i | −0.248479 | − | 0.464871i | ||||
\(276\) | 31.7534 | − | 7.41220i | 1.91133 | − | 0.446162i | ||||
\(277\) | 10.4104 | + | 12.6851i | 0.625499 | + | 0.762172i | 0.985296 | − | 0.170858i | \(-0.0546540\pi\) |
−0.359797 | + | 0.933031i | \(0.617154\pi\) | |||||||
\(278\) | −2.30797 | − | 15.1758i | −0.138423 | − | 0.910183i | ||||
\(279\) | 1.64078 | − | 11.2320i | 0.0982311 | − | 0.672444i | ||||
\(280\) | −2.11658 | + | 2.38751i | −0.126490 | + | 0.142681i | ||||
\(281\) | 11.2093 | + | 16.7759i | 0.668691 | + | 1.00077i | 0.998392 | + | 0.0566819i | \(0.0180521\pi\) |
−0.329701 | + | 0.944085i | \(0.606948\pi\) | |||||||
\(282\) | 16.6753 | − | 23.9185i | 0.992998 | − | 1.42432i | ||||
\(283\) | 14.4709 | + | 7.73483i | 0.860203 | + | 0.459788i | 0.841640 | − | 0.540039i | \(-0.181591\pi\) |
0.0185635 | + | 0.999828i | \(0.494091\pi\) | |||||||
\(284\) | −2.69450 | − | 8.65380i | −0.159889 | − | 0.513509i | ||||
\(285\) | −4.85022 | − | 2.43469i | −0.287302 | − | 0.144218i | ||||
\(286\) | 10.7898 | + | 1.56014i | 0.638014 | + | 0.0922528i | ||||
\(287\) | −0.851385 | − | 0.851385i | −0.0502557 | − | 0.0502557i | ||||
\(288\) | −16.1353 | + | 5.25856i | −0.950781 | + | 0.309864i | ||||
\(289\) | −11.5606 | + | 11.5606i | −0.680036 | + | 0.680036i | ||||
\(290\) | 13.9070 | − | 10.3933i | 0.816646 | − | 0.610316i | ||||
\(291\) | 9.29623 | − | 18.5193i | 0.544955 | − | 1.08562i | ||||
\(292\) | −5.84610 | + | 4.86989i | −0.342117 | + | 0.284989i | ||||
\(293\) | −5.04047 | + | 9.43006i | −0.294468 | + | 0.550910i | −0.985034 | − | 0.172359i | \(-0.944861\pi\) |
0.690567 | + | 0.723269i | \(0.257361\pi\) | |||||||
\(294\) | −16.5275 | + | 2.94902i | −0.963901 | + | 0.171990i | ||||
\(295\) | −28.7983 | + | 19.2424i | −1.67670 | + | 1.12033i | ||||
\(296\) | 4.34869 | + | 16.5854i | 0.252763 | + | 0.964006i | ||||
\(297\) | −7.96890 | + | 9.30025i | −0.462402 | + | 0.539655i | ||||
\(298\) | 19.3836 | + | 14.2661i | 1.12286 | + | 0.826411i | ||||
\(299\) | −23.7978 | + | 19.5303i | −1.37626 | + | 1.12947i | ||||
\(300\) | −12.6758 | − | 2.08954i | −0.731840 | − | 0.120640i | ||||
\(301\) | −2.96122 | + | 1.58280i | −0.170682 | + | 0.0912312i | ||||
\(302\) | 1.40705 | − | 3.97832i | 0.0809664 | − | 0.228927i | ||||
\(303\) | −4.65461 | + | 27.0020i | −0.267400 | + | 1.55123i | ||||
\(304\) | 0.354301 | − | 4.23222i | 0.0203206 | − | 0.242735i | ||||
\(305\) | −3.32882 | + | 8.03648i | −0.190608 | + | 0.460167i | ||||
\(306\) | 3.28107 | + | 0.974302i | 0.187566 | + | 0.0556972i | ||||
\(307\) | −1.40050 | − | 0.424838i | −0.0799309 | − | 0.0242468i | 0.250066 | − | 0.968229i | \(-0.419548\pi\) |
−0.329997 | + | 0.943982i | \(0.607048\pi\) | |||||||
\(308\) | −1.76473 | + | 0.364488i | −0.100555 | + | 0.0207686i | ||||
\(309\) | −12.8852 | + | 16.5485i | −0.733016 | + | 0.941414i | ||||
\(310\) | 15.3318 | + | 3.78077i | 0.870785 | + | 0.214733i | ||||
\(311\) | −12.1369 | + | 2.41417i | −0.688218 | + | 0.136895i | −0.526798 | − | 0.849991i | \(-0.676607\pi\) |
−0.161420 | + | 0.986886i | \(0.551607\pi\) | |||||||
\(312\) | 11.4699 | − | 11.1878i | 0.649357 | − | 0.633387i | ||||
\(313\) | 1.43263 | − | 7.20230i | 0.0809768 | − | 0.407098i | −0.918942 | − | 0.394392i | \(-0.870955\pi\) |
0.999919 | − | 0.0127064i | \(-0.00404467\pi\) | |||||||
\(314\) | 4.31256 | + | 11.9150i | 0.243372 | + | 0.672402i | ||||
\(315\) | 2.27820 | + | 2.50249i | 0.128362 | + | 0.140999i | ||||
\(316\) | −0.194545 | − | 1.83715i | −0.0109440 | − | 0.103348i | ||||
\(317\) | 10.2020 | + | 8.37253i | 0.572999 | + | 0.470248i | 0.875712 | − | 0.482834i | \(-0.160392\pi\) |
−0.302713 | + | 0.953082i | \(0.597892\pi\) | |||||||
\(318\) | 10.8536 | + | 21.3088i | 0.608639 | + | 1.19494i | ||||
\(319\) | 9.80531 | 0.548992 | ||||||||
\(320\) | −5.11356 | − | 23.0478i | −0.285857 | − | 1.28841i | ||||
\(321\) | −2.28537 | + | 3.61782i | −0.127557 | + | 0.201927i | ||||
\(322\) | 2.60002 | − | 4.37414i | 0.144894 | − | 0.243761i | ||||
\(323\) | −0.543391 | + | 0.662124i | −0.0302351 | + | 0.0368416i | ||||
\(324\) | 3.71867 | + | 17.6117i | 0.206593 | + | 0.978427i | ||||
\(325\) | 11.6071 | − | 3.52097i | 0.643845 | − | 0.195308i | ||||
\(326\) | −9.80280 | − | 27.0838i | −0.542927 | − | 1.50003i | ||||
\(327\) | −21.7532 | + | 22.8987i | −1.20296 | + | 1.26630i | ||||
\(328\) | 8.79766 | − | 1.40400i | 0.485770 | − | 0.0775227i | ||||
\(329\) | −0.887703 | − | 4.46278i | −0.0489406 | − | 0.246041i | ||||
\(330\) | −11.8069 | − | 12.2833i | −0.649946 | − | 0.676175i | ||||
\(331\) | −2.36854 | + | 24.0482i | −0.130187 | + | 1.32181i | 0.678948 | + | 0.734186i | \(0.262436\pi\) |
−0.809135 | + | 0.587623i | \(0.800064\pi\) | |||||||
\(332\) | 7.98373 | − | 12.1401i | 0.438164 | − | 0.666276i | ||||
\(333\) | 17.9833 | − | 2.70816i | 0.985481 | − | 0.148406i | ||||
\(334\) | 6.91850 | − | 7.68982i | 0.378564 | − | 0.420768i | ||||
\(335\) | −5.07897 | − | 2.10378i | −0.277494 | − | 0.114942i | ||||
\(336\) | −1.15331 | + | 2.38406i | −0.0629184 | + | 0.130061i | ||||
\(337\) | −29.2503 | + | 12.1159i | −1.59337 | + | 0.659994i | −0.990458 | − | 0.137816i | \(-0.955992\pi\) |
−0.602909 | + | 0.797810i | \(0.705992\pi\) | |||||||
\(338\) | 1.08600 | − | 3.07059i | 0.0590707 | − | 0.167018i | ||||
\(339\) | −1.25928 | + | 17.3324i | −0.0683949 | + | 0.941368i | ||||
\(340\) | −1.78982 | + | 4.41217i | −0.0970666 | + | 0.239284i | ||||
\(341\) | 5.65772 | + | 6.89395i | 0.306383 | + | 0.373328i | ||||
\(342\) | −4.42318 | − | 0.852861i | −0.239178 | − | 0.0461174i | ||||
\(343\) | −2.94217 | + | 4.40327i | −0.158862 | + | 0.237754i | ||||
\(344\) | 3.37510 | − | 24.6140i | 0.181973 | − | 1.32710i | ||||
\(345\) | 48.0963 | − | 1.23382i | 2.58942 | − | 0.0664264i | ||||
\(346\) | 24.7561 | − | 22.6034i | 1.33090 | − | 1.21517i | ||||
\(347\) | 7.38226 | + | 3.94590i | 0.396300 | + | 0.211827i | 0.657494 | − | 0.753459i | \(-0.271616\pi\) |
−0.261194 | + | 0.965286i | \(0.584116\pi\) | |||||||
\(348\) | 8.76995 | − | 11.4351i | 0.470119 | − | 0.612987i | ||||
\(349\) | −0.687998 | − | 6.98536i | −0.0368277 | − | 0.373918i | −0.995879 | − | 0.0906868i | \(-0.971094\pi\) |
0.959052 | − | 0.283231i | \(-0.0914062\pi\) | |||||||
\(350\) | −1.60592 | + | 1.20018i | −0.0858401 | + | 0.0641521i | ||||
\(351\) | −10.4999 | − | 13.3630i | −0.560446 | − | 0.713263i | ||||
\(352\) | 5.47896 | − | 12.1555i | 0.292030 | − | 0.647891i | ||||
\(353\) | 10.6551 | − | 10.6551i | 0.567111 | − | 0.567111i | −0.364207 | − | 0.931318i | \(-0.618660\pi\) |
0.931318 | + | 0.364207i | \(0.118660\pi\) | |||||||
\(354\) | −18.6740 | + | 21.8582i | −0.992513 | + | 1.16175i | ||||
\(355\) | −1.31083 | − | 13.3091i | −0.0695716 | − | 0.706372i | ||||
\(356\) | −6.08246 | + | 11.5828i | −0.322370 | + | 0.613889i | ||||
\(357\) | 0.464449 | − | 0.263785i | 0.0245812 | − | 0.0139610i | ||||
\(358\) | 3.18259 | + | 0.144665i | 0.168205 | + | 0.00764577i | ||||
\(359\) | 19.1233 | − | 12.7778i | 1.00929 | − | 0.674384i | 0.0631010 | − | 0.998007i | \(-0.479901\pi\) |
0.946186 | + | 0.323623i | \(0.104901\pi\) | |||||||
\(360\) | −24.8852 | + | 2.78305i | −1.31156 | + | 0.146680i | ||||
\(361\) | −9.92952 | + | 14.8606i | −0.522607 | + | 0.782136i | ||||
\(362\) | −3.79556 | − | 24.9573i | −0.199490 | − | 1.31173i | ||||
\(363\) | 1.16468 | + | 9.35799i | 0.0611301 | + | 0.491167i | ||||
\(364\) | −0.0183212 | − | 2.50038i | −0.000960290 | − | 0.131056i | ||||
\(365\) | −9.90115 | + | 5.29227i | −0.518250 | + | 0.277010i | ||||
\(366\) | −0.849664 | + | 7.17008i | −0.0444126 | + | 0.374786i | ||||
\(367\) | 16.7221 | − | 6.92652i | 0.872886 | − | 0.361561i | 0.0991525 | − | 0.995072i | \(-0.468387\pi\) |
0.773734 | + | 0.633511i | \(0.218387\pi\) | |||||||
\(368\) | 14.9167 | + | 34.5704i | 0.777588 | + | 1.80211i | ||||
\(369\) | −0.484493 | − | 9.43698i | −0.0252217 | − | 0.491270i | ||||
\(370\) | 1.33394 | + | 25.2640i | 0.0693483 | + | 1.31341i | ||||
\(371\) | 3.57120 | + | 1.08331i | 0.185407 | + | 0.0562427i | ||||
\(372\) | 13.1002 | − | 0.432129i | 0.679212 | − | 0.0224048i | ||||
\(373\) | −1.56010 | + | 15.8399i | −0.0807787 | + | 0.820160i | 0.866378 | + | 0.499389i | \(0.166442\pi\) |
−0.947157 | + | 0.320771i | \(0.896058\pi\) | |||||||
\(374\) | −2.30142 | + | 1.39091i | −0.119004 | + | 0.0719221i | ||||
\(375\) | 6.16117 | + | 2.36882i | 0.318162 | + | 0.122325i | ||||
\(376\) | 30.5920 | + | 14.0596i | 1.57766 | + | 0.725069i | ||||
\(377\) | −2.65440 | + | 13.3446i | −0.136709 | + | 0.687281i | ||||
\(378\) | 2.38363 | + | 1.48623i | 0.122601 | + | 0.0764434i | ||||
\(379\) | 34.3932 | − | 10.4331i | 1.76666 | − | 0.535911i | 0.771683 | − | 0.636007i | \(-0.219415\pi\) |
0.994978 | + | 0.100096i | \(0.0319150\pi\) | |||||||
\(380\) | 1.77510 | − | 6.00989i | 0.0910606 | − | 0.308301i | ||||
\(381\) | −4.53773 | + | 1.50462i | −0.232475 | + | 0.0770840i | ||||
\(382\) | −0.608360 | + | 0.154757i | −0.0311264 | + | 0.00791806i | ||||
\(383\) | −3.75605 | −0.191925 | −0.0959627 | − | 0.995385i | \(-0.530593\pi\) | ||||
−0.0959627 | + | 0.995385i | \(0.530593\pi\) | |||||||
\(384\) | −9.27554 | − | 17.2616i | −0.473340 | − | 0.880880i | ||||
\(385\) | −2.65884 | −0.135507 | ||||||||
\(386\) | 0.950263 | − | 0.241732i | 0.0483671 | − | 0.0123038i | ||||
\(387\) | −25.5757 | − | 6.34643i | −1.30009 | − | 0.322607i | ||||
\(388\) | 22.9472 | + | 6.77775i | 1.16497 | + | 0.344088i | ||||
\(389\) | 16.3846 | − | 4.97021i | 0.830732 | − | 0.252000i | 0.153853 | − | 0.988094i | \(-0.450832\pi\) |
0.676879 | + | 0.736094i | \(0.263332\pi\) | |||||||
\(390\) | 19.9133 | − | 12.7434i | 1.00835 | − | 0.645285i | ||||
\(391\) | 1.48144 | − | 7.44771i | 0.0749197 | − | 0.376647i | ||||
\(392\) | −6.73106 | − | 18.1796i | −0.339970 | − | 0.918209i | ||||
\(393\) | −12.8853 | + | 33.5140i | −0.649978 | + | 1.69056i | ||||
\(394\) | −11.5437 | + | 6.97661i | −0.581561 | + | 0.351477i | ||||
\(395\) | 0.267185 | − | 2.71277i | 0.0134435 | − | 0.136494i | ||||
\(396\) | −12.1988 | − | 7.15448i | −0.613013 | − | 0.359526i | ||||
\(397\) | −28.4080 | − | 8.61747i | −1.42576 | − | 0.432499i | −0.519226 | − | 0.854637i | \(-0.673780\pi\) |
−0.906531 | + | 0.422139i | \(0.861280\pi\) | |||||||
\(398\) | 0.00667147 | + | 0.126354i | 0.000334411 | + | 0.00633354i | ||||
\(399\) | −0.574300 | + | 0.405416i | −0.0287509 | + | 0.0202962i | ||||
\(400\) | −0.217381 | − | 14.8327i | −0.0108690 | − | 0.741637i | ||||
\(401\) | 6.91704 | − | 2.86513i | 0.345420 | − | 0.143078i | −0.203227 | − | 0.979132i | \(-0.565143\pi\) |
0.548647 | + | 0.836054i | \(0.315143\pi\) | |||||||
\(402\) | −4.53142 | − | 0.536979i | −0.226007 | − | 0.0267821i | ||||
\(403\) | −10.9140 | + | 5.83363i | −0.543663 | + | 0.290594i | ||||
\(404\) | −31.6383 | + | 0.231825i | −1.57406 | + | 0.0115337i | ||||
\(405\) | 0.117253 | + | 26.5590i | 0.00582633 | + | 1.31973i | ||||
\(406\) | −0.338132 | − | 2.22335i | −0.0167812 | − | 0.110343i | ||||
\(407\) | −7.93813 | + | 11.8803i | −0.393479 | + | 0.588882i | ||||
\(408\) | −0.436312 | + | 3.92800i | −0.0216007 | + | 0.194465i | ||||
\(409\) | −18.2744 | + | 12.2105i | −0.903609 | + | 0.603772i | −0.918198 | − | 0.396121i | \(-0.870356\pi\) |
0.0145893 | + | 0.999894i | \(0.495356\pi\) | |||||||
\(410\) | 13.1318 | + | 0.596906i | 0.648533 | + | 0.0294791i | ||||
\(411\) | −2.37022 | − | 4.17327i | −0.116914 | − | 0.205852i | ||||
\(412\) | −21.4414 | − | 11.2595i | −1.05634 | − | 0.554715i | ||||
\(413\) | 0.439750 | + | 4.46486i | 0.0216387 | + | 0.219701i | ||||
\(414\) | 38.1469 | − | 11.8168i | 1.87482 | − | 0.580762i | ||||
\(415\) | 15.1599 | − | 15.1599i | 0.744170 | − | 0.744170i | ||||
\(416\) | 15.0599 | + | 10.7472i | 0.738371 | + | 0.526927i | ||||
\(417\) | −4.13939 | − | 18.3388i | −0.202707 | − | 0.898056i | ||||
\(418\) | 2.83494 | − | 2.11868i | 0.138662 | − | 0.103628i | ||||
\(419\) | 2.09861 | + | 21.3075i | 0.102524 | + | 1.04094i | 0.899497 | + | 0.436926i | \(0.143933\pi\) |
−0.796974 | + | 0.604014i | \(0.793567\pi\) | |||||||
\(420\) | −2.37809 | + | 3.10079i | −0.116039 | + | 0.151303i | ||||
\(421\) | −9.27719 | − | 4.95876i | −0.452143 | − | 0.241675i | 0.229575 | − | 0.973291i | \(-0.426267\pi\) |
−0.681717 | + | 0.731616i | \(0.738767\pi\) | |||||||
\(422\) | 19.9247 | − | 18.1921i | 0.969918 | − | 0.885576i | ||||
\(423\) | 18.2912 | − | 30.6703i | 0.889348 | − | 1.49124i | ||||
\(424\) | −21.9970 | + | 16.6919i | −1.06827 | + | 0.810631i | ||||
\(425\) | −1.66217 | + | 2.48762i | −0.0806272 | + | 0.120667i | ||||
\(426\) | −4.04437 | − | 10.3376i | −0.195951 | − | 0.500858i | ||||
\(427\) | 0.714814 | + | 0.871003i | 0.0345923 | + | 0.0421508i | ||||
\(428\) | −4.57880 | − | 1.85741i | −0.221325 | − | 0.0897814i | ||||
\(429\) | 13.3171 | + | 0.967549i | 0.642954 | + | 0.0467137i | ||||
\(430\) | 12.2232 | − | 34.5603i | 0.589457 | − | 1.66665i | ||||
\(431\) | 23.0634 | − | 9.55318i | 1.11093 | − | 0.460161i | 0.249670 | − | 0.968331i | \(-0.419678\pi\) |
0.861257 | + | 0.508170i | \(0.169678\pi\) | |||||||
\(432\) | −19.2544 | + | 7.82744i | −0.926377 | + | 0.376598i | ||||
\(433\) | 17.0872 | + | 7.07774i | 0.821158 | + | 0.340135i | 0.753396 | − | 0.657567i | \(-0.228414\pi\) |
0.0677615 | + | 0.997702i | \(0.478414\pi\) | |||||||
\(434\) | 1.36810 | − | 1.52062i | 0.0656708 | − | 0.0729922i | ||||
\(435\) | 16.0856 | − | 13.9065i | 0.771245 | − | 0.666766i | ||||
\(436\) | −30.4714 | − | 20.0390i | −1.45932 | − | 0.959693i | ||||
\(437\) | −0.979597 | + | 9.94602i | −0.0468605 | + | 0.475782i | ||||
\(438\) | −6.71837 | + | 6.45776i | −0.321016 | + | 0.308564i | ||||
\(439\) | 5.79699 | + | 29.1434i | 0.276675 | + | 1.39094i | 0.829902 | + | 0.557909i | \(0.188396\pi\) |
−0.553227 | + | 0.833030i | \(0.686604\pi\) | |||||||
\(440\) | 11.5451 | − | 15.9297i | 0.550389 | − | 0.759418i | ||||
\(441\) | −19.9344 | + | 5.04008i | −0.949255 | + | 0.240004i | ||||
\(442\) | −1.26994 | − | 3.50867i | −0.0604049 | − | 0.166890i | ||||
\(443\) | 19.7550 | − | 5.99262i | 0.938589 | − | 0.284718i | 0.216314 | − | 0.976324i | \(-0.430596\pi\) |
0.722275 | + | 0.691606i | \(0.243096\pi\) | |||||||
\(444\) | 6.75504 | + | 19.8834i | 0.320580 | + | 0.943624i | ||||
\(445\) | −12.2462 | + | 14.9220i | −0.580525 | + | 0.707372i | ||||
\(446\) | −9.52773 | + | 16.0289i | −0.451151 | + | 0.758992i | ||||
\(447\) | 24.9207 | + | 15.7424i | 1.17871 | + | 0.744588i | ||||
\(448\) | −2.94520 | − | 0.823175i | −0.139148 | − | 0.0388914i | ||||
\(449\) | 1.12173 | 0.0529377 | 0.0264689 | − | 0.999650i | \(-0.491574\pi\) | ||||
0.0264689 | + | 0.999650i | \(0.491574\pi\) | |||||||
\(450\) | −15.6672 | − | 1.45026i | −0.738559 | − | 0.0683661i | ||||
\(451\) | 5.73891 | + | 4.70980i | 0.270235 | + | 0.221776i | ||||
\(452\) | −19.9549 | + | 2.11313i | −0.938601 | + | 0.0993933i | ||||
\(453\) | 1.37292 | − | 4.98250i | 0.0645056 | − | 0.234098i | ||||
\(454\) | −12.2287 | − | 33.7861i | −0.573919 | − | 1.58566i | ||||
\(455\) | 0.719776 | − | 3.61856i | 0.0337436 | − | 0.169641i | ||||
\(456\) | 0.0647531 | − | 5.20112i | 0.00303234 | − | 0.243565i | ||||
\(457\) | 14.7080 | − | 2.92560i | 0.688011 | − | 0.136854i | 0.161309 | − | 0.986904i | \(-0.448428\pi\) |
0.526702 | + | 0.850050i | \(0.323428\pi\) | |||||||
\(458\) | 7.61729 | + | 1.87840i | 0.355932 | + | 0.0877719i | ||||
\(459\) | 4.09306 | + | 0.904902i | 0.191048 | + | 0.0422372i | ||||
\(460\) | 11.2372 | + | 54.4068i | 0.523938 | + | 2.53673i | ||||
\(461\) | −24.5718 | − | 7.45377i | −1.14442 | − | 0.347157i | −0.339540 | − | 0.940592i | \(-0.610271\pi\) |
−0.804882 | + | 0.593435i | \(0.797771\pi\) | |||||||
\(462\) | −2.12418 | + | 0.598757i | −0.0988260 | + | 0.0278567i | ||||
\(463\) | 2.11651 | − | 5.10971i | 0.0983627 | − | 0.237469i | −0.867037 | − | 0.498244i | \(-0.833978\pi\) |
0.965399 | + | 0.260776i | \(0.0839783\pi\) | |||||||
\(464\) | 14.7888 | + | 7.62828i | 0.686552 | + | 0.354134i | ||||
\(465\) | 19.0589 | + | 3.28537i | 0.883836 | + | 0.152355i | ||||
\(466\) | −10.7698 | + | 30.4507i | −0.498899 | + | 1.41060i | ||||
\(467\) | −15.0368 | + | 8.03731i | −0.695818 | + | 0.371922i | −0.781076 | − | 0.624436i | \(-0.785329\pi\) |
0.0852576 | + | 0.996359i | \(0.472829\pi\) | |||||||
\(468\) | 13.0393 | − | 14.6652i | 0.602740 | − | 0.677900i | ||||
\(469\) | −0.550465 | + | 0.451755i | −0.0254181 | + | 0.0208601i | ||||
\(470\) | 40.0098 | + | 29.4467i | 1.84551 | + | 1.35827i | ||||
\(471\) | 6.30471 | + | 14.1809i | 0.290506 | + | 0.653422i | ||||
\(472\) | −28.6594 | − | 16.7524i | −1.31915 | − | 0.771091i | ||||
\(473\) | 17.2143 | − | 11.5022i | 0.791515 | − | 0.528873i | ||||
\(474\) | −0.397445 | − | 2.22744i | −0.0182553 | − | 0.102310i | ||||
\(475\) | 1.85618 | − | 3.47267i | 0.0851673 | − | 0.159337i | ||||
\(476\) | 0.394751 | + | 0.473883i | 0.0180934 | + | 0.0217204i | ||||
\(477\) | 15.1126 | + | 25.0880i | 0.691956 | + | 1.14870i | ||||
\(478\) | 1.91907 | − | 1.43421i | 0.0877763 | − | 0.0655992i | ||||
\(479\) | −6.10055 | + | 6.10055i | −0.278741 | + | 0.278741i | −0.832606 | − | 0.553865i | \(-0.813152\pi\) |
0.553865 | + | 0.832606i | \(0.313152\pi\) | |||||||
\(480\) | −8.25149 | − | 27.7117i | −0.376627 | − | 1.26486i | ||||
\(481\) | −14.0195 | − | 14.0195i | −0.639236 | − | 0.639236i | ||||
\(482\) | 25.9632 | + | 3.75412i | 1.18259 | + | 0.170996i | ||||
\(483\) | 2.79590 | − | 5.56981i | 0.127218 | − | 0.253435i | ||||
\(484\) | −10.3967 | + | 3.23719i | −0.472578 | + | 0.147145i | ||||
\(485\) | 31.1362 | + | 16.6427i | 1.41382 | + | 0.755704i | ||||
\(486\) | 6.07463 | + | 21.1920i | 0.275551 | + | 0.961286i | ||||
\(487\) | −17.2089 | − | 25.7549i | −0.779808 | − | 1.16706i | −0.982214 | − | 0.187763i | \(-0.939876\pi\) |
0.202406 | − | 0.979302i | \(-0.435124\pi\) | |||||||
\(488\) | −8.32219 | + | 0.500584i | −0.376728 | + | 0.0226604i | ||||
\(489\) | −14.3311 | − | 32.2344i | −0.648076 | − | 1.45769i | ||||
\(490\) | −4.30069 | − | 28.2787i | −0.194286 | − | 1.27750i | ||||
\(491\) | −1.27731 | − | 1.55640i | −0.0576440 | − | 0.0702395i | 0.743390 | − | 0.668858i | \(-0.233217\pi\) |
−0.801034 | + | 0.598618i | \(0.795717\pi\) | |||||||
\(492\) | 10.6256 | − | 2.48034i | 0.479038 | − | 0.111822i | ||||
\(493\) | −1.58203 | − | 2.95978i | −0.0712512 | − | 0.133302i | ||||
\(494\) | 2.11598 | + | 4.43178i | 0.0952023 | + | 0.199395i | ||||
\(495\) | −15.4922 | − | 13.9791i | −0.696321 | − | 0.628315i | ||||
\(496\) | 3.16990 | + | 14.7993i | 0.142333 | + | 0.664509i | ||||
\(497\) | −1.60045 | − | 0.662930i | −0.0717902 | − | 0.0297365i | ||||
\(498\) | 8.69751 | − | 15.5254i | 0.389745 | − | 0.695709i | ||||
\(499\) | 0.344410 | − | 1.13537i | 0.0154179 | − | 0.0508261i | −0.948894 | − | 0.315595i | \(-0.897796\pi\) |
0.964312 | + | 0.264769i | \(0.0852958\pi\) | |||||||
\(500\) | −1.43217 | + | 7.48626i | −0.0640485 | + | 0.334796i | ||||
\(501\) | 7.78322 | − | 9.99600i | 0.347729 | − | 0.446588i | ||||
\(502\) | 29.7904 | − | 18.0044i | 1.32961 | − | 0.803575i | ||||
\(503\) | 1.17666 | + | 5.91545i | 0.0524645 | + | 0.263757i | 0.998111 | − | 0.0614402i | \(-0.0195693\pi\) |
−0.945646 | + | 0.325197i | \(0.894569\pi\) | |||||||
\(504\) | −1.20161 | + | 3.01279i | −0.0535237 | + | 0.134201i | ||||
\(505\) | −45.7870 | − | 9.10760i | −2.03749 | − | 0.405283i | ||||
\(506\) | −13.3109 | + | 28.4124i | −0.591742 | + | 1.26309i | ||||
\(507\) | 1.05967 | − | 3.84565i | 0.0470614 | − | 0.170791i | ||||
\(508\) | −2.63783 | − | 4.84923i | −0.117035 | − | 0.215150i | ||||
\(509\) | −9.04475 | + | 11.0211i | −0.400901 | + | 0.488500i | −0.933859 | − | 0.357642i | \(-0.883581\pi\) |
0.532957 | + | 0.846142i | \(0.321081\pi\) | |||||||
\(510\) | −1.80281 | + | 5.54580i | −0.0798297 | + | 0.245572i | ||||
\(511\) | 1.45425i | 0.0643323i | ||||||||
\(512\) | 17.7203 | − | 14.0710i | 0.783133 | − | 0.621854i | ||||
\(513\) | −5.47777 | − | 0.657212i | −0.241849 | − | 0.0290166i | ||||
\(514\) | 5.42149 | − | 1.37914i | 0.239132 | − | 0.0608312i | ||||
\(515\) | −27.6228 | − | 22.6694i | −1.21721 | − | 0.998935i | ||||
\(516\) | 1.98250 | − | 30.3633i | 0.0872749 | − | 1.33667i | ||||
\(517\) | 8.14440 | + | 26.8485i | 0.358190 | + | 1.18079i | ||||
\(518\) | 2.96759 | + | 1.39028i | 0.130388 | + | 0.0610855i | ||||
\(519\) | 28.2776 | − | 29.7666i | 1.24125 | − | 1.30661i | ||||
\(520\) | 18.5542 | + | 20.0246i | 0.813655 | + | 0.878138i | ||||
\(521\) | −33.6360 | + | 6.69061i | −1.47362 | + | 0.293121i | −0.865574 | − | 0.500782i | \(-0.833046\pi\) |
−0.608045 | + | 0.793903i | \(0.708046\pi\) | |||||||
\(522\) | 9.71931 | − | 14.7325i | 0.425403 | − | 0.644823i | ||||
\(523\) | −14.2368 | − | 1.40220i | −0.622531 | − | 0.0613139i | −0.218166 | − | 0.975912i | \(-0.570007\pi\) |
−0.404365 | + | 0.914598i | \(0.632507\pi\) | |||||||
\(524\) | −40.7219 | − | 7.79034i | −1.77894 | − | 0.340323i | ||||
\(525\) | −1.85750 | + | 1.60587i | −0.0810678 | + | 0.0700858i | ||||
\(526\) | 0.863672 | + | 16.3574i | 0.0376579 | + | 0.713218i | ||||
\(527\) | 1.16813 | − | 2.82011i | 0.0508845 | − | 0.122846i | ||||
\(528\) | 5.63622 | − | 15.3263i | 0.245285 | − | 0.666992i | ||||
\(529\) | −25.1046 | − | 60.6078i | −1.09150 | − | 2.63512i | ||||
\(530\) | −36.7678 | + | 17.5550i | −1.59709 | + | 0.762540i | ||||
\(531\) | −20.9122 | + | 28.3272i | −0.907510 | + | 1.22930i | ||||
\(532\) | −0.578172 | − | 0.569761i | −0.0250669 | − | 0.0247023i | ||||
\(533\) | −7.96341 | + | 6.53540i | −0.344934 | + | 0.283080i | ||||
\(534\) | −6.42328 | + | 14.6792i | −0.277963 | + | 0.635231i | ||||
\(535\) | −6.06208 | − | 4.05055i | −0.262087 | − | 0.175121i | ||||
\(536\) | −0.316364 | − | 5.25953i | −0.0136648 | − | 0.227177i | ||||
\(537\) | 3.90060 | − | 0.100062i | 0.168323 | − | 0.00431800i | ||||
\(538\) | 38.5323 | + | 1.75149i | 1.66125 | + | 0.0755121i | ||||
\(539\) | 7.61524 | − | 14.2471i | 0.328012 | − | 0.613667i | ||||
\(540\) | −30.1590 | + | 5.56421i | −1.29784 | + | 0.239446i | ||||
\(541\) | 35.5269 | − | 3.49910i | 1.52742 | − | 0.150438i | 0.700866 | − | 0.713293i | \(-0.252797\pi\) |
0.826556 | + | 0.562855i | \(0.190297\pi\) | |||||||
\(542\) | 4.94279 | − | 34.1840i | 0.212311 | − | 1.46833i | ||||
\(543\) | −6.80741 | − | 30.1590i | −0.292134 | − | 1.29425i | ||||
\(544\) | −4.55320 | + | 0.307376i | −0.195217 | + | 0.0131786i | ||||
\(545\) | −38.0510 | − | 38.0510i | −1.62992 | − | 1.62992i | ||||
\(546\) | −0.239842 | − | 3.05301i | −0.0102643 | − | 0.130657i | ||||
\(547\) | 6.76477 | − | 0.666271i | 0.289241 | − | 0.0284877i | 0.0476436 | − | 0.998864i | \(-0.484829\pi\) |
0.241597 | + | 0.970377i | \(0.422329\pi\) | |||||||
\(548\) | 4.25803 | − | 3.54701i | 0.181894 | − | 0.151521i | ||||
\(549\) | −0.414406 | + | 8.83325i | −0.0176864 | + | 0.376994i | ||||
\(550\) | 9.12906 | − | 8.33522i | 0.389264 | − | 0.355415i | ||||
\(551\) | 2.45394 | + | 3.67259i | 0.104542 | + | 0.156458i | ||||
\(552\) | 21.2297 | + | 40.9357i | 0.903595 | + | 1.74234i | ||||
\(553\) | −0.293589 | − | 0.196170i | −0.0124847 | − | 0.00834200i | ||||
\(554\) | −13.7561 | + | 18.6907i | −0.584442 | + | 0.794093i | ||||
\(555\) | 3.82685 | + | 30.7479i | 0.162441 | + | 1.30517i | ||||
\(556\) | 19.9947 | − | 8.45424i | 0.847964 | − | 0.358540i | ||||
\(557\) | 3.25158 | + | 6.08328i | 0.137774 | + | 0.257757i | 0.941341 | − | 0.337458i | \(-0.109567\pi\) |
−0.803567 | + | 0.595215i | \(0.797067\pi\) | |||||||
\(558\) | 15.9663 | − | 1.66724i | 0.675906 | − | 0.0705800i | ||||
\(559\) | 10.9939 | + | 26.5417i | 0.464993 | + | 1.12259i | ||||
\(560\) | −4.01018 | − | 2.06851i | −0.169461 | − | 0.0874105i | ||||
\(561\) | −2.69057 | + | 1.89936i | −0.113596 | + | 0.0801911i | ||||
\(562\) | −19.0843 | + | 21.2120i | −0.805024 | + | 0.894773i | ||||
\(563\) | −8.10167 | + | 26.7076i | −0.341445 | + | 1.12559i | 0.603226 | + | 0.797571i | \(0.293882\pi\) |
−0.944670 | + | 0.328021i | \(0.893618\pi\) | |||||||
\(564\) | 38.5956 | + | 14.5154i | 1.62517 | + | 0.611207i | ||||
\(565\) | −29.4659 | − | 2.90213i | −1.23964 | − | 0.122094i | ||||
\(566\) | −5.55582 | + | 22.5300i | −0.233529 | + | 0.947005i | ||||
\(567\) | 3.04123 | + | 1.60835i | 0.127720 | + | 0.0675444i | ||||
\(568\) | 10.9211 | − | 6.71013i | 0.458241 | − | 0.281551i | ||||
\(569\) | −23.7851 | − | 4.73116i | −0.997125 | − | 0.198340i | −0.330558 | − | 0.943786i | \(-0.607237\pi\) |
−0.666567 | + | 0.745445i | \(0.732237\pi\) | |||||||
\(570\) | 1.64587 | − | 7.49638i | 0.0689379 | − | 0.313989i | ||||
\(571\) | −8.21584 | − | 27.0840i | −0.343822 | − | 1.13343i | −0.942994 | − | 0.332809i | \(-0.892003\pi\) |
0.599172 | − | 0.800620i | \(-0.295497\pi\) | |||||||
\(572\) | 1.62359 | + | 15.3320i | 0.0678856 | + | 0.641064i | ||||
\(573\) | −0.729745 | + | 0.241969i | −0.0304855 | + | 0.0101084i | ||||
\(574\) | 0.870043 | − | 1.46371i | 0.0363149 | − | 0.0610942i | ||||
\(575\) | 34.9083i | 1.45578i | ||||||||
\(576\) | −12.8328 | − | 20.2810i | −0.534698 | − | 0.845043i | ||||
\(577\) | − | 19.7635i | − | 0.822765i | −0.911463 | − | 0.411382i | \(-0.865046\pi\) | ||
0.911463 | − | 0.411382i | \(-0.134954\pi\) | |||||||
\(578\) | −19.8752 | − | 11.8140i | −0.826698 | − | 0.491396i | ||||
\(579\) | 1.13987 | − | 0.377958i | 0.0473713 | − | 0.0157074i | ||||
\(580\) | 19.0933 | + | 15.4368i | 0.792808 | + | 0.640977i | ||||
\(581\) | −0.806156 | − | 2.65754i | −0.0334450 | − | 0.110253i | ||||
\(582\) | 28.6230 | + | 6.28433i | 1.18646 | + | 0.260494i | ||||
\(583\) | −22.5687 | − | 4.48919i | −0.934699 | − | 0.185923i | ||||
\(584\) | −8.71273 | − | 6.31457i | −0.360535 | − | 0.261299i | ||||
\(585\) | 23.2188 | − | 17.2998i | 0.959981 | − | 0.715260i | ||||
\(586\) | −14.6819 | − | 3.62050i | −0.606502 | − | 0.149562i | ||||
\(587\) | 0.623164 | + | 0.0613763i | 0.0257207 | + | 0.00253327i | 0.110869 | − | 0.993835i | \(-0.464636\pi\) |
−0.0851486 | + | 0.996368i | \(0.527136\pi\) | |||||||
\(588\) | −9.80411 | − | 21.6238i | −0.404315 | − | 0.891749i | ||||
\(589\) | −1.16620 | + | 3.84443i | −0.0480523 | + | 0.158407i | ||||
\(590\) | −36.4134 | − | 32.7610i | −1.49912 | − | 1.34875i | ||||
\(591\) | −13.4956 | + | 9.52696i | −0.555134 | + | 0.391887i | ||||
\(592\) | −21.2152 | + | 11.7426i | −0.871938 | + | 0.482620i | ||||
\(593\) | 14.5844 | + | 35.2099i | 0.598910 | + | 1.44590i | 0.874693 | + | 0.484677i | \(0.161063\pi\) |
−0.275783 | + | 0.961220i | \(0.588937\pi\) | |||||||
\(594\) | −15.5249 | − | 7.67935i | −0.636996 | − | 0.315088i | ||||
\(595\) | 0.428990 | + | 0.802583i | 0.0175869 | + | 0.0329027i | ||||
\(596\) | −12.7945 | + | 31.5403i | −0.524082 | + | 1.29194i | ||||
\(597\) | 0.0191393 | + | 0.153780i | 0.000783320 | + | 0.00629380i | ||||
\(598\) | −35.0646 | − | 25.8071i | −1.43390 | − | 1.05533i | ||||
\(599\) | −3.06471 | − | 2.04777i | −0.125221 | − | 0.0836698i | 0.491383 | − | 0.870944i | \(-0.336492\pi\) |
−0.616603 | + | 0.787274i | \(0.711492\pi\) | |||||||
\(600\) | −1.55558 | − | 18.1016i | −0.0635063 | − | 0.738993i | ||||
\(601\) | −5.06488 | − | 7.58012i | −0.206601 | − | 0.309200i | 0.713670 | − | 0.700482i | \(-0.247032\pi\) |
−0.920271 | + | 0.391282i | \(0.872032\pi\) | |||||||
\(602\) | −3.20176 | − | 3.50669i | −0.130494 | − | 0.142922i | ||||
\(603\) | −5.58252 | − | 0.261901i | −0.227338 | − | 0.0106654i | ||||
\(604\) | 5.94311 | + | 0.541407i | 0.241822 | + | 0.0220295i | ||||
\(605\) | −15.9896 | + | 1.57484i | −0.650069 | + | 0.0640262i | ||||
\(606\) | −38.6308 | + | 3.03481i | −1.56927 | + | 0.123281i | ||||
\(607\) | 15.1075 | + | 15.1075i | 0.613194 | + | 0.613194i | 0.943777 | − | 0.330583i | \(-0.107245\pi\) |
−0.330583 | + | 0.943777i | \(0.607245\pi\) | |||||||
\(608\) | 5.92406 | − | 0.989971i | 0.240252 | − | 0.0401486i | ||||
\(609\) | −0.606447 | − | 2.68676i | −0.0245745 | − | 0.108873i | ||||
\(610\) | −12.1751 | − | 1.76044i | −0.492955 | − | 0.0712782i | ||||
\(611\) | −38.7443 | + | 3.81598i | −1.56743 | + | 0.154378i | ||||
\(612\) | −0.191401 | + | 4.83660i | −0.00773692 | + | 0.195508i | ||||
\(613\) | 2.11592 | − | 3.95861i | 0.0854611 | − | 0.159887i | −0.835560 | − | 0.549399i | \(-0.814857\pi\) |
0.921021 | + | 0.389513i | \(0.127357\pi\) | |||||||
\(614\) | 0.0939827 | − | 2.06760i | 0.00379283 | − | 0.0834414i | ||||
\(615\) | 16.0944 | − | 0.412870i | 0.648989 | − | 0.0166485i | ||||
\(616\) | −1.11482 | − | 2.29159i | −0.0449176 | − | 0.0923308i | ||||
\(617\) | 5.29140 | + | 3.53560i | 0.213024 | + | 0.142338i | 0.657505 | − | 0.753450i | \(-0.271612\pi\) |
−0.444481 | + | 0.895788i | \(0.646612\pi\) | |||||||
\(618\) | −27.1733 | − | 11.8904i | −1.09307 | − | 0.478302i | ||||
\(619\) | 9.31388 | − | 7.64370i | 0.374356 | − | 0.307226i | −0.428336 | − | 0.903619i | \(-0.640900\pi\) |
0.802692 | + | 0.596393i | \(0.203400\pi\) | |||||||
\(620\) | 0.163629 | + | 22.3313i | 0.00657151 | + | 0.896847i | ||||
\(621\) | 45.5746 | − | 17.7536i | 1.82885 | − | 0.712429i | ||||
\(622\) | −7.54028 | − | 15.7926i | −0.302338 | − | 0.633227i | ||||
\(623\) | 0.956900 | + | 2.31016i | 0.0383374 | + | 0.0925546i | ||||
\(624\) | 19.3326 | + | 11.8196i | 0.773925 | + | 0.473164i | ||||
\(625\) | −11.3999 | + | 27.5217i | −0.455995 | + | 1.10087i | ||||
\(626\) | 10.3707 | − | 0.547572i | 0.414496 | − | 0.0218854i | ||||
\(627\) | 3.27905 | − | 2.83485i | 0.130953 | − | 0.113213i | ||||
\(628\) | −14.8267 | + | 10.0648i | −0.591649 | + | 0.401629i | ||||
\(629\) | 4.86688 | + | 0.479346i | 0.194055 | + | 0.0191128i | ||||
\(630\) | −2.63552 | + | 3.99491i | −0.105002 | + | 0.159161i | ||||
\(631\) | −0.922941 | + | 0.183584i | −0.0367417 | + | 0.00730838i | −0.213427 | − | 0.976959i | \(-0.568463\pi\) |
0.176685 | + | 0.984267i | \(0.443463\pi\) | |||||||
\(632\) | 2.45010 | − | 0.907157i | 0.0974598 | − | 0.0360848i | ||||
\(633\) | 22.7588 | − | 23.9573i | 0.904583 | − | 0.952216i | ||||
\(634\) | −7.91817 | + | 16.9015i | −0.314471 | + | 0.671244i | ||||
\(635\) | −2.36443 | − | 7.79448i | −0.0938296 | − | 0.309315i | ||||
\(636\) | −25.4210 | + | 22.3048i | −1.00801 | + | 0.884444i | ||||
\(637\) | 17.3281 | + | 14.2208i | 0.686566 | + | 0.563450i | ||||
\(638\) | 3.41862 | + | 13.4388i | 0.135344 | + | 0.532047i | ||||
\(639\) | −5.83989 | − | 12.2772i | −0.231022 | − | 0.485679i | ||||
\(640\) | 29.8056 | − | 15.0441i | 1.17817 | − | 0.594669i | ||||
\(641\) | − | 30.7807i | − | 1.21576i | −0.794027 | − | 0.607882i | \(-0.792019\pi\) | ||
0.794027 | − | 0.607882i | \(-0.207981\pi\) | |||||||
\(642\) | −5.75524 | − | 1.87089i | −0.227141 | − | 0.0738382i | ||||
\(643\) | −27.5308 | + | 33.5464i | −1.08571 | + | 1.32294i | −0.142852 | + | 0.989744i | \(0.545627\pi\) |
−0.942857 | + | 0.333197i | \(0.891873\pi\) | |||||||
\(644\) | 6.90153 | + | 2.03846i | 0.271958 | + | 0.0803264i | ||||
\(645\) | 11.9268 | − | 43.2838i | 0.469618 | − | 1.70430i | ||||
\(646\) | −1.09694 | − | 0.513903i | −0.0431584 | − | 0.0202192i | ||||
\(647\) | −9.26707 | − | 1.84334i | −0.364326 | − | 0.0724690i | 0.00953276 | − | 0.999955i | \(-0.496966\pi\) |
−0.373859 | + | 0.927486i | \(0.621966\pi\) | |||||||
\(648\) | −22.8414 | + | 11.2370i | −0.897296 | + | 0.441430i | ||||
\(649\) | −5.39688 | − | 27.1319i | −0.211846 | − | 1.06502i | ||||
\(650\) | 8.87252 | + | 14.6807i | 0.348009 | + | 0.575823i | ||||
\(651\) | 1.53909 | − | 1.97666i | 0.0603217 | − | 0.0774713i | ||||
\(652\) | 33.7023 | − | 22.8781i | 1.31988 | − | 0.895976i | ||||
\(653\) | −9.47826 | + | 31.2456i | −0.370913 | + | 1.22274i | 0.550726 | + | 0.834686i | \(0.314351\pi\) |
−0.921638 | + | 0.388050i | \(0.873149\pi\) | |||||||
\(654\) | −38.9683 | − | 21.8305i | −1.52378 | − | 0.853642i | ||||
\(655\) | −56.5187 | − | 23.4108i | −2.20837 | − | 0.914736i | ||||
\(656\) | 4.99157 | + | 11.5683i | 0.194888 | + | 0.451664i | ||||
\(657\) | −7.64588 | + | 8.47344i | −0.298294 | + | 0.330580i | ||||
\(658\) | 5.80703 | − | 2.77260i | 0.226382 | − | 0.108087i | ||||
\(659\) | 21.0584 | + | 39.3975i | 0.820319 | + | 1.53471i | 0.844846 | + | 0.535010i | \(0.179692\pi\) |
−0.0245264 | + | 0.999699i | \(0.507808\pi\) | |||||||
\(660\) | 12.7186 | − | 20.4646i | 0.495072 | − | 0.796584i | ||||
\(661\) | 2.07981 | + | 2.53426i | 0.0808954 | + | 0.0985713i | 0.811885 | − | 0.583817i | \(-0.198441\pi\) |
−0.730990 | + | 0.682388i | \(0.760941\pi\) | |||||||
\(662\) | −33.7854 | + | 5.13816i | −1.31311 | + | 0.199700i | ||||
\(663\) | −1.85658 | − | 4.17593i | −0.0721035 | − | 0.162180i | ||||
\(664\) | 19.4223 | + | 6.70956i | 0.753733 | + | 0.260381i | ||||
\(665\) | −0.665420 | − | 0.995871i | −0.0258039 | − | 0.0386182i | ||||
\(666\) | 9.98158 | + | 23.7031i | 0.386779 | + | 0.918477i | ||||
\(667\) | −34.5343 | − | 18.4590i | −1.33717 | − | 0.714734i | ||||
\(668\) | 12.9515 | + | 6.80119i | 0.501109 | + | 0.263146i | ||||
\(669\) | −10.2455 | + | 20.4104i | −0.396115 | + | 0.789113i | ||||
\(670\) | 1.11258 | − | 7.69453i | 0.0429828 | − | 0.297266i | ||||
\(671\) | −4.91273 | − | 4.91273i | −0.189654 | − | 0.189654i | ||||
\(672\) | −3.66960 | − | 0.749489i | −0.141558 | − | 0.0289121i | ||||
\(673\) | 19.6878 | − | 19.6878i | 0.758911 | − | 0.758911i | −0.217213 | − | 0.976124i | \(-0.569697\pi\) |
0.976124 | + | 0.217213i | \(0.0696968\pi\) | |||||||
\(674\) | −26.8037 | − | 35.8652i | −1.03244 | − | 1.38148i | ||||
\(675\) | −19.2660 | − | 0.409130i | −0.741550 | − | 0.0157474i | ||||
\(676\) | 4.58707 | + | 0.417874i | 0.176426 | + | 0.0160721i | ||||
\(677\) | 13.5717 | − | 25.3908i | 0.521602 | − | 0.975850i | −0.473851 | − | 0.880605i | \(-0.657137\pi\) |
0.995454 | − | 0.0952447i | \(-0.0303634\pi\) | |||||||
\(678\) | −24.1942 | + | 4.31701i | −0.929173 | + | 0.165794i | ||||
\(679\) | 3.80248 | − | 2.54073i | 0.145926 | − | 0.0975044i | ||||
\(680\) | −6.67118 | − | 0.914760i | −0.255828 | − | 0.0350794i | ||||
\(681\) | −17.8776 | − | 40.2113i | −0.685070 | − | 1.54090i | ||||
\(682\) | −7.47604 | + | 10.1578i | −0.286272 | + | 0.388964i | ||||
\(683\) | 12.2008 | − | 10.0130i | 0.466852 | − | 0.383136i | −0.371352 | − | 0.928492i | \(-0.621106\pi\) |
0.838204 | + | 0.545356i | \(0.183606\pi\) | |||||||
\(684\) | −0.373240 | − | 6.35960i | −0.0142712 | − | 0.243165i | ||||
\(685\) | 7.21155 | − | 3.85465i | 0.275539 | − | 0.147279i | ||||
\(686\) | −7.06075 | − | 2.49724i | −0.269581 | − | 0.0953449i | ||||
\(687\) | 9.46905 | + | 1.63227i | 0.361267 | + | 0.0622751i | ||||
\(688\) | 34.9118 | − | 3.95587i | 1.33100 | − | 0.150816i | ||||
\(689\) | 12.2192 | − | 29.4997i | 0.465513 | − | 1.12385i | ||||
\(690\) | 18.4598 | + | 65.4889i | 0.702752 | + | 2.49312i | ||||
\(691\) | 33.9725 | + | 10.3054i | 1.29238 | + | 0.392038i | 0.860295 | − | 0.509797i | \(-0.170280\pi\) |
0.432081 | + | 0.901835i | \(0.357780\pi\) | |||||||
\(692\) | 39.6106 | + | 26.0492i | 1.50577 | + | 0.990241i | ||||
\(693\) | −2.54294 | + | 0.916216i | −0.0965983 | + | 0.0348042i | ||||
\(694\) | −2.83428 | + | 11.4936i | −0.107588 | + | 0.436290i | ||||
\(695\) | 31.4159 | − | 6.24900i | 1.19167 | − | 0.237038i | ||||
\(696\) | 18.7302 | + | 8.03292i | 0.709967 | + | 0.304487i | ||||
\(697\) | 0.495733 | − | 2.49222i | 0.0187772 | − | 0.0943995i | ||||
\(698\) | 9.33400 | − | 3.37838i | 0.353297 | − | 0.127874i | ||||
\(699\) | −10.5086 | + | 38.1369i | −0.397471 | + | 1.44247i | ||||
\(700\) | −2.20482 | − | 1.78258i | −0.0833344 | − | 0.0673750i | ||||
\(701\) | 16.7608 | + | 13.7552i | 0.633046 | + | 0.519528i | 0.895296 | − | 0.445472i | \(-0.146964\pi\) |
−0.262249 | + | 0.965000i | \(0.584464\pi\) | |||||||
\(702\) | 14.6540 | − | 19.0498i | 0.553080 | − | 0.718990i | ||||
\(703\) | −6.43641 | −0.242754 | ||||||||
\(704\) | 18.5701 | + | 3.27125i | 0.699888 | + | 0.123290i | ||||
\(705\) | 51.4391 | + | 32.4939i | 1.93731 | + | 1.22379i | ||||
\(706\) | 18.3183 | + | 10.8885i | 0.689418 | + | 0.409796i | ||||
\(707\) | −3.83628 | + | 4.67453i | −0.144278 | + | 0.175804i | ||||
\(708\) | −36.4688 | − | 17.9731i | −1.37058 | − | 0.675470i | ||||
\(709\) | 48.0325 | − | 14.5705i | 1.80390 | − | 0.547207i | 0.804962 | − | 0.593326i | \(-0.202185\pi\) |
0.998936 | + | 0.0461192i | \(0.0146854\pi\) | |||||||
\(710\) | 17.7839 | − | 6.43677i | 0.667418 | − | 0.241568i | ||||
\(711\) | −0.679262 | − | 2.68659i | −0.0254743 | − | 0.100755i | ||||
\(712\) | −17.9956 | − | 4.29805i | −0.674415 | − | 0.161076i | ||||
\(713\) | −6.94829 | − | 34.9314i | −0.260216 | − | 1.30819i | ||||
\(714\) | 0.523463 | + | 0.544588i | 0.0195901 | + | 0.0203807i | ||||
\(715\) | −2.22981 | + | 22.6396i | −0.0833900 | + | 0.846673i | ||||
\(716\) | 0.911335 | + | 4.41238i | 0.0340582 | + | 0.164898i | ||||
\(717\) | 2.21971 | − | 1.91901i | 0.0828964 | − | 0.0716667i | ||||
\(718\) | 24.1800 | + | 21.7547i | 0.902391 | + | 0.811877i | ||||
\(719\) | 13.3993 | + | 5.55018i | 0.499710 | + | 0.206987i | 0.618278 | − | 0.785959i | \(-0.287830\pi\) |
−0.118568 | + | 0.992946i | \(0.537830\pi\) | |||||||
\(720\) | −12.4906 | − | 33.1364i | −0.465496 | − | 1.23492i | ||||
\(721\) | −4.27643 | + | 1.77136i | −0.159263 | + | 0.0659687i | ||||
\(722\) | −23.8293 | − | 8.42791i | −0.886834 | − | 0.313654i | ||||
\(723\) | 32.0446 | + | 2.32819i | 1.19175 | + | 0.0865864i | ||||
\(724\) | 32.8822 | − | 13.9034i | 1.22206 | − | 0.516716i | ||||
\(725\) | 9.78740 | + | 11.9260i | 0.363495 | + | 0.442920i | ||||
\(726\) | −12.4196 | + | 4.85893i | −0.460936 | + | 0.180332i | ||||
\(727\) | 15.5238 | − | 23.2331i | 0.575747 | − | 0.861666i | −0.423270 | − | 0.906004i | \(-0.639118\pi\) |
0.999017 | + | 0.0443374i | \(0.0141177\pi\) | |||||||
\(728\) | 3.42054 | − | 0.896867i | 0.126774 | − | 0.0332401i | ||||
\(729\) | 9.26417 | + | 25.3609i | 0.343117 | + | 0.939293i | ||||
\(730\) | −10.7054 | − | 11.7250i | −0.396226 | − | 0.433962i | ||||
\(731\) | −6.24944 | − | 3.34039i | −0.231144 | − | 0.123549i | ||||
\(732\) | −10.1233 | + | 1.33533i | −0.374167 | + | 0.0493551i | ||||
\(733\) | −4.63361 | − | 47.0458i | −0.171146 | − | 1.73768i | −0.570870 | − | 0.821041i | \(-0.693394\pi\) |
0.399723 | − | 0.916636i | \(-0.369106\pi\) | |||||||
\(734\) | 15.3234 | + | 20.5038i | 0.565596 | + | 0.756808i | ||||
\(735\) | −7.71338 | − | 34.1728i | −0.284512 | − | 1.26048i | ||||
\(736\) | −42.1802 | + | 32.4973i | −1.55478 | + | 1.19787i | ||||
\(737\) | 3.10479 | − | 3.10479i | 0.114366 | − | 0.114366i | ||||
\(738\) | 12.7651 | − | 3.95423i | 0.469888 | − | 0.145557i | ||||
\(739\) | 0.620510 | + | 6.30014i | 0.0228258 | + | 0.231754i | 0.999828 | + | 0.0185268i | \(0.00589759\pi\) |
−0.977003 | + | 0.213228i | \(0.931602\pi\) | |||||||
\(740\) | −34.1609 | + | 10.6365i | −1.25578 | + | 0.391007i | ||||
\(741\) | 2.97042 | + | 5.23006i | 0.109121 | + | 0.192131i | ||||
\(742\) | −0.239650 | + | 5.27225i | −0.00879784 | + | 0.193550i | ||||
\(743\) | 27.4882 | − | 18.3670i | 1.00844 | − | 0.673820i | 0.0624635 | − | 0.998047i | \(-0.480104\pi\) |
0.945979 | + | 0.324227i | \(0.105104\pi\) | |||||||
\(744\) | 5.15962 | + | 17.8039i | 0.189161 | + | 0.652724i | ||||
\(745\) | −27.9015 | + | 41.7576i | −1.02223 | + | 1.52988i | ||||
\(746\) | −22.2535 | + | 3.38437i | −0.814760 | + | 0.123911i | ||||
\(747\) | 9.27509 | − | 19.7230i | 0.339358 | − | 0.721629i | ||||
\(748\) | −2.70872 | − | 2.66931i | −0.0990405 | − | 0.0975996i | ||||
\(749\) | −0.832893 | + | 0.445191i | −0.0304333 | + | 0.0162669i | ||||
\(750\) | −1.09853 | + | 9.27016i | −0.0401125 | + | 0.338499i | ||||
\(751\) | −40.9179 | + | 16.9488i | −1.49312 | + | 0.618469i | −0.971992 | − | 0.235012i | \(-0.924487\pi\) |
−0.521124 | + | 0.853481i | \(0.674487\pi\) | |||||||
\(752\) | −8.60370 | + | 46.8302i | −0.313745 | + | 1.70772i | ||||
\(753\) | 34.8277 | − | 24.5860i | 1.26919 | − | 0.895964i | ||||
\(754\) | −19.2150 | + | 1.01455i | −0.699771 | + | 0.0369479i | ||||
\(755\) | 8.42630 | + | 2.55609i | 0.306664 | + | 0.0930256i | ||||
\(756\) | −1.20592 | + | 3.78509i | −0.0438589 | + | 0.137663i | ||||
\(757\) | 2.22745 | − | 22.6157i | 0.0809582 | − | 0.821982i | −0.865876 | − | 0.500259i | \(-0.833238\pi\) |
0.946834 | − | 0.321723i | \(-0.104262\pi\) | |||||||
\(758\) | 26.2904 | + | 43.5006i | 0.954909 | + | 1.58001i | ||||
\(759\) | −13.7903 | + | 35.8678i | −0.500555 | + | 1.30192i | ||||
\(760\) | 8.85582 | + | 0.337540i | 0.321234 | + | 0.0122438i | ||||
\(761\) | 3.99448 | − | 20.0816i | 0.144800 | − | 0.727957i | −0.838347 | − | 0.545137i | \(-0.816478\pi\) |
0.983146 | − | 0.182820i | \(-0.0585225\pi\) | |||||||
\(762\) | −3.64425 | − | 5.69466i | −0.132017 | − | 0.206296i | ||||
\(763\) | −6.67036 | + | 2.02343i | −0.241483 | + | 0.0732532i | ||||
\(764\) | −0.424209 | − | 0.779840i | −0.0153473 | − | 0.0282136i | ||||
\(765\) | −1.72008 | + | 6.93184i | −0.0621897 | + | 0.250621i | ||||
\(766\) | −1.30955 | − | 5.14791i | −0.0473158 | − | 0.186002i | ||||
\(767\) | 38.3863 | 1.38605 | ||||||||
\(768\) | 20.4243 | − | 18.7310i | 0.736997 | − | 0.675896i | ||||
\(769\) | 25.1594 | 0.907270 | 0.453635 | − | 0.891188i | \(-0.350127\pi\) | ||||
0.453635 | + | 0.891188i | \(0.350127\pi\) | |||||||
\(770\) | −0.927003 | − | 3.64411i | −0.0334069 | − | 0.131325i | ||||
\(771\) | 6.50323 | − | 2.15634i | 0.234208 | − | 0.0776587i | ||||
\(772\) | 0.662618 | + | 1.21812i | 0.0238481 | + | 0.0438410i | ||||
\(773\) | −17.2508 | + | 5.23299i | −0.620470 | + | 0.188217i | −0.584841 | − | 0.811148i | \(-0.698843\pi\) |
−0.0356283 | + | 0.999365i | \(0.511343\pi\) | |||||||
\(774\) | −0.218790 | − | 37.2659i | −0.00786424 | − | 1.33949i | ||||
\(775\) | −2.73757 | + | 13.7627i | −0.0983366 | + | 0.494371i | ||||
\(776\) | −1.28881 | + | 33.8137i | −0.0462655 | + | 1.21384i | ||||
\(777\) | 3.74628 | + | 1.44035i | 0.134397 | + | 0.0516723i | ||||
\(778\) | 12.5245 | + | 20.7233i | 0.449024 | + | 0.742965i | ||||
\(779\) | −0.327801 | + | 3.32822i | −0.0117447 | + | 0.119246i | ||||
\(780\) | 24.4083 | + | 22.8495i | 0.873959 | + | 0.818142i | ||||
\(781\) | 10.2215 | + | 3.10067i | 0.365755 | + | 0.110951i | ||||
\(782\) | 10.7241 | − | 0.566230i | 0.383492 | − | 0.0202484i | ||||
\(783\) | 10.5923 | − | 18.8433i | 0.378539 | − | 0.673404i | ||||
\(784\) | 22.5695 | − | 15.5636i | 0.806054 | − | 0.555844i | ||||
\(785\) | −24.4287 | + | 10.1187i | −0.871897 | + | 0.361152i | ||||
\(786\) | −50.4255 | − | 5.97548i | −1.79862 | − | 0.213138i | ||||
\(787\) | 9.54966 | − | 5.10440i | 0.340409 | − | 0.181952i | −0.292330 | − | 0.956317i | \(-0.594431\pi\) |
0.632739 | + | 0.774365i | \(0.281931\pi\) | |||||||
\(788\) | −13.5866 | − | 13.3889i | −0.484002 | − | 0.476960i | ||||
\(789\) | 2.47773 | + | 19.9080i | 0.0882094 | + | 0.708743i | ||||
\(790\) | 3.81118 | − | 0.579613i | 0.135596 | − | 0.0206217i | ||||
\(791\) | −2.13078 | + | 3.18894i | −0.0757618 | + | 0.113386i | ||||
\(792\) | 5.55256 | − | 19.2136i | 0.197302 | − | 0.682727i | ||||
\(793\) | 8.01592 | − | 5.35607i | 0.284654 | − | 0.190200i | ||||
\(794\) | 1.90636 | − | 41.9394i | 0.0676542 | − | 1.48838i | ||||
\(795\) | −43.3907 | + | 24.6438i | −1.53891 | + | 0.874026i | ||||
\(796\) | −0.170850 | + | 0.0531968i | −0.00605561 | + | 0.00188551i | ||||
\(797\) | −0.00939373 | − | 0.0953761i | −0.000332743 | − | 0.00337840i | 0.995017 | − | 0.0997062i | \(-0.0317903\pi\) |
−0.995350 | + | 0.0963278i | \(0.969290\pi\) | |||||||
\(798\) | −0.755878 | − | 0.645766i | −0.0267578 | − | 0.0228599i | ||||
\(799\) | 6.79028 | − | 6.79028i | 0.240223 | − | 0.240223i | ||||
\(800\) | 20.2534 | − | 5.46936i | 0.716067 | − | 0.193371i | ||||
\(801\) | −6.57036 | + | 18.4915i | −0.232152 | + | 0.653366i | ||||
\(802\) | 6.33846 | + | 8.48131i | 0.223819 | + | 0.299486i | ||||
\(803\) | −0.878911 | − | 8.92373i | −0.0310161 | − | 0.314912i | ||||
\(804\) | −0.843913 | − | 6.39781i | −0.0297625 | − | 0.225633i | ||||
\(805\) | 9.36444 | + | 5.00540i | 0.330053 | + | 0.176417i | ||||
\(806\) | −11.8005 | − | 12.9244i | −0.415655 | − | 0.455242i | ||||
\(807\) | 47.2255 | − | 1.21148i | 1.66242 | − | 0.0426460i | ||||
\(808\) | −11.3484 | − | 43.2814i | −0.399235 | − | 1.52264i | ||||
\(809\) | −26.3463 | + | 39.4300i | −0.926286 | + | 1.38629i | −0.00391045 | + | 0.999992i | \(0.501245\pi\) |
−0.922376 | + | 0.386293i | \(0.873755\pi\) | |||||||
\(810\) | −36.3599 | + | 9.42049i | −1.27756 | + | 0.331002i | ||||
\(811\) | −23.3614 | − | 28.4659i | −0.820329 | − | 0.999574i | −0.999875 | − | 0.0158245i | \(-0.994963\pi\) |
0.179545 | − | 0.983750i | \(-0.442537\pi\) | |||||||
\(812\) | 2.92935 | − | 1.23860i | 0.102800 | − | 0.0434664i | ||||
\(813\) | 3.06537 | − | 42.1908i | 0.107507 | − | 1.47970i | ||||
\(814\) | −19.0503 | − | 6.73767i | −0.667711 | − | 0.236155i | ||||
\(815\) | 55.5284 | − | 23.0006i | 1.94508 | − | 0.805677i | ||||
\(816\) | −5.53569 | + | 0.771502i | −0.193788 | + | 0.0270080i | ||||
\(817\) | 8.61634 | + | 3.56901i | 0.301448 | + | 0.124864i | ||||
\(818\) | −23.1067 | − | 20.7890i | −0.807905 | − | 0.726869i | ||||
\(819\) | −0.558526 | − | 3.70886i | −0.0195165 | − | 0.129598i | ||||
\(820\) | 3.76029 | + | 18.2061i | 0.131315 | + | 0.635783i | ||||
\(821\) | 3.58729 | − | 36.4224i | 0.125197 | − | 1.27115i | −0.703193 | − | 0.710999i | \(-0.748243\pi\) |
0.828390 | − | 0.560151i | \(-0.189257\pi\) | |||||||
\(822\) | 4.89335 | − | 4.70354i | 0.170675 | − | 0.164055i | ||||
\(823\) | 9.88336 | + | 49.6870i | 0.344512 | + | 1.73198i | 0.632691 | + | 0.774404i | \(0.281950\pi\) |
−0.288179 | + | 0.957577i | \(0.593050\pi\) | |||||||
\(824\) | 7.95629 | − | 33.3125i | 0.277170 | − | 1.16050i | ||||
\(825\) | 10.4276 | − | 10.9767i | 0.363043 | − | 0.382160i | ||||
\(826\) | −5.96605 | + | 2.15937i | −0.207585 | + | 0.0751343i | ||||
\(827\) | 44.2486 | − | 13.4227i | 1.53867 | − | 0.466751i | 0.596707 | − | 0.802459i | \(-0.296475\pi\) |
0.941966 | + | 0.335708i | \(0.108975\pi\) | |||||||
\(828\) | 29.4955 | + | 48.1629i | 1.02504 | + | 1.67378i | ||||
\(829\) | 27.3502 | − | 33.3263i | 0.949911 | − | 1.15747i | −0.0375002 | − | 0.999297i | \(-0.511939\pi\) |
0.987411 | − | 0.158173i | \(-0.0505605\pi\) | |||||||
\(830\) | 26.0631 | + | 15.4921i | 0.904663 | + | 0.537739i | ||||
\(831\) | −15.1797 | + | 24.0300i | −0.526577 | + | 0.833590i | ||||
\(832\) | −9.47916 | + | 24.3875i | −0.328631 | + | 0.845485i | ||||
\(833\) | −5.52924 | −0.191577 | ||||||||
\(834\) | 23.6913 | − | 12.0671i | 0.820363 | − | 0.417850i | ||||
\(835\) | 16.6853 | + | 13.6933i | 0.577419 | + | 0.473875i | ||||
\(836\) | 3.89218 | + | 3.14679i | 0.134614 | + | 0.108834i | ||||
\(837\) | 19.3602 | − | 3.42539i | 0.669188 | − | 0.118399i | ||||
\(838\) | −28.4716 | + | 10.3051i | −0.983536 | + | 0.355985i | ||||
\(839\) | 2.93050 | − | 14.7326i | 0.101172 | − | 0.508626i | −0.896655 | − | 0.442731i | \(-0.854010\pi\) |
0.997827 | − | 0.0658951i | \(-0.0209903\pi\) | |||||||
\(840\) | −5.07894 | − | 2.17823i | −0.175240 | − | 0.0751562i | ||||
\(841\) | 11.4691 | − | 2.28135i | 0.395487 | − | 0.0786673i | ||||
\(842\) | 3.56181 | − | 14.4438i | 0.122748 | − | 0.497768i | ||||
\(843\) | −21.4696 | + | 27.5735i | −0.739453 | + | 0.949680i | ||||
\(844\) | 31.8801 | + | 20.9654i | 1.09736 | + | 0.721657i | ||||
\(845\) | 6.50367 | + | 1.97287i | 0.223733 | + | 0.0678687i | ||||
\(846\) | 48.4128 | + | 14.3760i | 1.66447 | + | 0.494258i | ||||
\(847\) | −0.796447 | + | 1.92279i | −0.0273663 | + | 0.0660680i | ||||
\(848\) | −30.5466 | − | 24.3286i | −1.04897 | − | 0.835449i | ||||
\(849\) | −4.82784 | + | 28.0070i | −0.165691 | + | 0.961198i | ||||
\(850\) | −3.98895 | − | 1.41081i | −0.136820 | − | 0.0483902i | ||||
\(851\) | 50.3232 | − | 26.8983i | 1.72506 | − | 0.922063i | ||||
\(852\) | 12.7583 | − | 9.14727i | 0.437091 | − | 0.313380i | ||||
\(853\) | −1.41637 | + | 1.16239i | −0.0484957 | + | 0.0397994i | −0.658329 | − | 0.752730i | \(-0.728736\pi\) |
0.609833 | + | 0.792530i | \(0.291236\pi\) | |||||||
\(854\) | −0.944546 | + | 1.28337i | −0.0323217 | + | 0.0439161i | ||||
\(855\) | 1.35871 | − | 9.30112i | 0.0464671 | − | 0.318092i | ||||
\(856\) | 0.949306 | − | 6.92312i | 0.0324466 | − | 0.236627i | ||||
\(857\) | −26.7469 | + | 17.8717i | −0.913657 | + | 0.610486i | −0.921032 | − | 0.389487i | \(-0.872652\pi\) |
0.00737490 | + | 0.999973i | \(0.497652\pi\) | |||||||
\(858\) | 3.31690 | + | 18.5892i | 0.113237 | + | 0.634625i | ||||
\(859\) | −19.4331 | + | 36.3567i | −0.663047 | + | 1.24047i | 0.295446 | + | 0.955359i | \(0.404532\pi\) |
−0.958493 | + | 0.285115i | \(0.907968\pi\) | |||||||
\(860\) | 51.6287 | + | 4.70329i | 1.76053 | + | 0.160381i | ||||
\(861\) | 0.935590 | − | 1.86382i | 0.0318848 | − | 0.0635187i | ||||
\(862\) | 21.1343 | + | 28.2792i | 0.719837 | + | 0.963193i | ||||
\(863\) | −4.92068 | + | 4.92068i | −0.167502 | + | 0.167502i | −0.785880 | − | 0.618379i | \(-0.787790\pi\) |
0.618379 | + | 0.785880i | \(0.287790\pi\) | |||||||
\(864\) | −17.4410 | − | 23.6603i | −0.593356 | − | 0.804940i | ||||
\(865\) | 49.4635 | + | 49.4635i | 1.68181 | + | 1.68181i | ||||
\(866\) | −3.74306 | + | 25.8867i | −0.127194 | + | 0.879666i | ||||
\(867\) | −25.3080 | − | 12.7040i | −0.859506 | − | 0.431450i | ||||
\(868\) | 2.56109 | + | 1.34490i | 0.0869292 | + | 0.0456489i | ||||
\(869\) | 1.92011 | + | 1.02632i | 0.0651353 | + | 0.0348156i | ||||
\(870\) | 24.6680 | + | 17.1978i | 0.836323 | + | 0.583060i | ||||
\(871\) | 3.38498 | + | 5.06598i | 0.114696 | + | 0.171654i | ||||
\(872\) | 16.8408 | − | 48.7496i | 0.570303 | − | 1.65087i | ||||
\(873\) | 35.5139 | + | 5.18790i | 1.20196 | + | 0.175584i | ||||
\(874\) | −13.9732 | + | 2.12507i | −0.472650 | + | 0.0718817i | ||||
\(875\) | 0.924179 | + | 1.12612i | 0.0312430 | + | 0.0380697i | ||||
\(876\) | −11.1931 | − | 6.95645i | −0.378180 | − | 0.235037i | ||||
\(877\) | 15.7010 | + | 29.3744i | 0.530184 | + | 0.991904i | 0.994350 | + | 0.106155i | \(0.0338541\pi\) |
−0.464166 | + | 0.885748i | \(0.653646\pi\) | |||||||
\(878\) | −37.9218 | + | 18.1060i | −1.27980 | + | 0.611047i | ||||
\(879\) | −18.2510 | − | 3.14610i | −0.615591 | − | 0.106115i | ||||
\(880\) | 25.8578 | + | 10.2694i | 0.871666 | + | 0.346180i | ||||
\(881\) | −0.0120815 | − | 0.00500431i | −0.000407035 | − | 0.000168599i | 0.382480 | − | 0.923964i | \(-0.375070\pi\) |
−0.382887 | + | 0.923795i | \(0.625070\pi\) | |||||||
\(882\) | −13.8579 | − | 25.5641i | −0.466618 | − | 0.860787i | ||||
\(883\) | 1.49529 | − | 4.92930i | 0.0503204 | − | 0.165884i | −0.928179 | − | 0.372134i | \(-0.878626\pi\) |
0.978499 | + | 0.206250i | \(0.0661261\pi\) | |||||||
\(884\) | 4.36609 | − | 2.96383i | 0.146847 | − | 0.0996843i | ||||
\(885\) | −47.3338 | − | 36.8557i | −1.59111 | − | 1.23889i | ||||
\(886\) | 15.1008 | + | 24.9862i | 0.507323 | + | 0.839427i | ||||
\(887\) | −1.54918 | − | 7.78828i | −0.0520165 | − | 0.261505i | 0.946022 | − | 0.324101i | \(-0.105062\pi\) |
−0.998039 | + | 0.0625965i | \(0.980062\pi\) | |||||||
\(888\) | −24.8963 | + | 16.1905i | −0.835465 | + | 0.543319i | ||||
\(889\) | −1.03481 | − | 0.205836i | −0.0347064 | − | 0.00690353i | ||||
\(890\) | −24.7212 | − | 11.5816i | −0.828657 | − | 0.388217i | ||||
\(891\) | −19.6340 | − | 8.03129i | −0.657762 | − | 0.269058i | ||||
\(892\) | −25.2905 | − | 7.46988i | −0.846789 | − | 0.250110i | ||||
\(893\) | −8.01785 | + | 9.76978i | −0.268307 | + | 0.326933i | ||||
\(894\) | −12.8873 | + | 39.6440i | −0.431016 | + | 1.32589i | ||||
\(895\) | 6.64795i | 0.222216i | ||||||||
\(896\) | 0.101373 | − | 4.32358i | 0.00338662 | − | 0.144441i | ||||
\(897\) | −45.0812 | − | 28.4777i | −1.50522 | − | 0.950843i | ||||
\(898\) | 0.391091 | + | 1.53740i | 0.0130509 | + | 0.0513038i | ||||
\(899\) | −12.1677 | − | 9.98576i | −0.405815 | − | 0.333044i | ||||
\(900\) | −3.47469 | − | 21.9785i | −0.115823 | − | 0.732618i | ||||
\(901\) | 2.28625 | + | 7.53676i | 0.0761661 | + | 0.251086i | ||||
\(902\) | −4.45422 | + | 9.50761i | −0.148309 | + | 0.316569i | ||||
\(903\) | −4.21642 | − | 4.00550i | −0.140314 | − | 0.133295i | ||||
\(904\) | −9.85345 | − | 26.6128i | −0.327721 | − | 0.885127i | ||||
\(905\) | 51.6649 | − | 10.2768i | 1.71740 | − | 0.341612i | ||||
\(906\) | 7.30750 | + | 0.144535i | 0.242775 | + | 0.00480185i | ||||
\(907\) | −2.92834 | − | 0.288416i | −0.0972340 | − | 0.00957671i | 0.0492831 | − | 0.998785i | \(-0.484306\pi\) |
−0.146517 | + | 0.989208i | \(0.546806\pi\) | |||||||
\(908\) | 42.0424 | − | 28.5396i | 1.39523 | − | 0.947121i | ||||
\(909\) | −46.9295 | + | 7.06724i | −1.55655 | + | 0.234406i | ||||
\(910\) | 5.21042 | − | 0.275110i | 0.172724 | − | 0.00911980i | ||||
\(911\) | −10.6580 | + | 25.7307i | −0.353115 | + | 0.852495i | 0.643117 | + | 0.765768i | \(0.277641\pi\) |
−0.996232 | + | 0.0867269i | \(0.972359\pi\) | |||||||
\(912\) | 7.15105 | − | 1.72462i | 0.236795 | − | 0.0571079i | ||||
\(913\) | 6.55296 | + | 15.8203i | 0.216871 | + | 0.523574i | ||||
\(914\) | 9.13766 | + | 19.1382i | 0.302247 | + | 0.633036i | ||||
\(915\) | −15.0268 | − | 1.09177i | −0.496772 | − | 0.0360929i | ||||
\(916\) | 0.0812960 | + | 11.0949i | 0.00268610 | + | 0.366585i | ||||
\(917\) | −6.12556 | + | 5.02712i | −0.202284 | + | 0.166010i | ||||
\(918\) | 0.186817 | + | 5.92529i | 0.00616590 | + | 0.195564i | ||||
\(919\) | −28.7878 | − | 19.2354i | −0.949623 | − | 0.634518i | −0.0187356 | − | 0.999824i | \(-0.505964\pi\) |
−0.930887 | + | 0.365307i | \(0.880964\pi\) | |||||||
\(920\) | −70.6501 | + | 34.3702i | −2.32926 | + | 1.13315i | ||||
\(921\) | −0.0650063 | − | 2.53406i | −0.00214203 | − | 0.0835001i | ||||
\(922\) | 1.64892 | − | 36.2759i | 0.0543044 | − | 1.19468i | ||||
\(923\) | −6.98694 | + | 13.0716i | −0.229978 | + | 0.430259i | ||||
\(924\) | −1.56123 | − | 2.70257i | −0.0513607 | − | 0.0889081i | ||||
\(925\) | −22.3733 | + | 2.20358i | −0.735630 | + | 0.0724532i | ||||
\(926\) | 7.74111 | + | 1.11932i | 0.254389 | + | 0.0367830i | ||||
\(927\) | −34.2304 | − | 12.1627i | −1.12427 | − | 0.399475i | ||||
\(928\) | −5.29894 | + | 22.9286i | −0.173946 | + | 0.752667i | ||||
\(929\) | −37.2585 | − | 37.2585i | −1.22241 | − | 1.22241i | −0.966772 | − | 0.255640i | \(-0.917714\pi\) |
−0.255640 | − | 0.966772i | \(-0.582286\pi\) | |||||||
\(930\) | 2.14207 | + | 27.2669i | 0.0702412 | + | 0.894116i | ||||
\(931\) | 7.24211 | − | 0.713286i | 0.237351 | − | 0.0233770i | ||||
\(932\) | −45.4895 | − | 4.14402i | −1.49006 | − | 0.135742i | ||||
\(933\) | −10.5851 | − | 18.6373i | −0.346541 | − | 0.610159i | ||||
\(934\) | −16.2582 | − | 17.8066i | −0.531985 | − | 0.582650i | ||||
\(935\) | −3.11747 | − | 4.66562i | −0.101952 | − | 0.152582i | ||||
\(936\) | 24.6457 | + | 12.7581i | 0.805571 | + | 0.417012i | ||||
\(937\) | 14.4873 | + | 9.68007i | 0.473278 | + | 0.316234i | 0.769234 | − | 0.638967i | \(-0.220638\pi\) |
−0.295956 | + | 0.955202i | \(0.595638\pi\) | |||||||
\(938\) | −0.811078 | − | 0.596943i | −0.0264826 | − | 0.0194909i | ||||
\(939\) | 12.6218 | − | 1.57089i | 0.411896 | − | 0.0512641i | ||||
\(940\) | −26.4092 | + | 65.1025i | −0.861372 | + | 2.12341i | ||||
\(941\) | 11.5317 | + | 21.5742i | 0.375922 | + | 0.703300i | 0.996742 | − | 0.0806524i | \(-0.0257004\pi\) |
−0.620820 | + | 0.783953i | \(0.713200\pi\) | |||||||
\(942\) | −17.2377 | + | 13.5852i | −0.561635 | + | 0.442629i | ||||
\(943\) | −11.3460 | − | 27.3917i | −0.369477 | − | 0.891997i | ||||
\(944\) | 12.9681 | − | 45.1202i | 0.422077 | − | 1.46854i | ||||
\(945\) | −2.87225 | + | 5.10961i | −0.0934343 | + | 0.166216i | ||||
\(946\) | 21.7663 | + | 19.5830i | 0.707683 | + | 0.636700i | ||||
\(947\) | −6.68458 | + | 22.0361i | −0.217220 | + | 0.716077i | 0.778826 | + | 0.627240i | \(0.215815\pi\) |
−0.996046 | + | 0.0888379i | \(0.971685\pi\) | |||||||
\(948\) | 2.91428 | − | 1.32132i | 0.0946513 | − | 0.0429144i | ||||
\(949\) | 12.3827 | + | 1.21959i | 0.401960 | + | 0.0395896i | ||||
\(950\) | 5.40667 | + | 1.33327i | 0.175415 | + | 0.0432569i | ||||
\(951\) | −8.20332 | + | 21.3364i | −0.266011 | + | 0.691881i | ||||
\(952\) | −0.511856 | + | 0.706251i | −0.0165894 | + | 0.0228897i | ||||
\(953\) | 15.7852 | + | 3.13987i | 0.511333 | + | 0.101710i | 0.444012 | − | 0.896021i | \(-0.353555\pi\) |
0.0673210 | + | 0.997731i | \(0.478555\pi\) | |||||||
\(954\) | −29.1157 | + | 29.4596i | −0.942657 | + | 0.953791i | ||||
\(955\) | −0.380241 | − | 1.25349i | −0.0123043 | − | 0.0405619i | ||||
\(956\) | 2.63476 | + | 2.13017i | 0.0852141 | + | 0.0688947i | ||||
\(957\) | 5.34514 | + | 16.1202i | 0.172784 | + | 0.521093i | ||||
\(958\) | −10.4881 | − | 6.23424i | −0.338856 | − | 0.201419i | ||||
\(959\) | − | 1.05921i | − | 0.0342037i | ||||||
\(960\) | 35.1037 | − | 20.9708i | 1.13297 | − | 0.676831i | ||||
\(961\) | 16.6833i | 0.538170i | ||||||||
\(962\) | 14.3268 | − | 24.1026i | 0.461913 | − | 0.777098i | ||||
\(963\) | −7.19362 | − | 1.78504i | −0.231811 | − | 0.0575222i | ||||
\(964\) | 3.90680 | + | 36.8931i | 0.125830 | + | 1.18825i | ||||
\(965\) | 0.593940 | + | 1.95796i | 0.0191196 | + | 0.0630289i | ||||
\(966\) | 8.60856 | + | 1.89005i | 0.276976 | + | 0.0608115i | ||||
\(967\) | −21.4836 | − | 4.27335i | −0.690865 | − | 0.137422i | −0.162843 | − | 0.986652i | \(-0.552066\pi\) |
−0.528022 | + | 0.849231i | \(0.677066\pi\) | |||||||
\(968\) | −8.06158 | − | 13.1207i | −0.259109 | − | 0.421716i | ||||
\(969\) | −1.38477 | − | 0.532409i | −0.0444852 | − | 0.0171035i | ||||
\(970\) | −11.9542 | + | 48.4766i | −0.383826 | + | 1.55649i | ||||
\(971\) | 3.62883 | + | 0.357409i | 0.116455 | + | 0.0114698i | 0.156077 | − | 0.987745i | \(-0.450115\pi\) |
−0.0396218 | + | 0.999215i | \(0.512615\pi\) | |||||||
\(972\) | −26.9270 | + | 15.7142i | −0.863684 | + | 0.504034i | ||||
\(973\) | 1.20443 | − | 3.97049i | 0.0386124 | − | 0.127288i | ||||
\(974\) | 29.2988 | − | 32.5653i | 0.938795 | − | 1.04346i | ||||
\(975\) | 12.1159 | + | 17.1630i | 0.388020 | + | 0.549657i | ||||
\(976\) | −3.58761 | − | 11.2316i | −0.114837 | − | 0.359513i | ||||
\(977\) | −1.87093 | − | 4.51682i | −0.0598563 | − | 0.144506i | 0.891122 | − | 0.453764i | \(-0.149919\pi\) |
−0.950978 | + | 0.309258i | \(0.899919\pi\) | |||||||
\(978\) | 39.1828 | − | 30.8802i | 1.25293 | − | 0.987441i | ||||
\(979\) | −7.26802 | − | 13.5975i | −0.232287 | − | 0.434578i | ||||
\(980\) | 37.2584 | − | 15.7537i | 1.19017 | − | 0.503235i | ||||
\(981\) | −49.5044 | − | 23.2802i | −1.58055 | − | 0.743281i | ||||
\(982\) | 1.68782 | − | 2.29327i | 0.0538604 | − | 0.0731811i | ||||
\(983\) | −21.7516 | − | 14.5339i | −0.693767 | − | 0.463560i | 0.158029 | − | 0.987435i | \(-0.449486\pi\) |
−0.851796 | + | 0.523874i | \(0.824486\pi\) | |||||||
\(984\) | 7.10406 | + | 13.6983i | 0.226469 | + | 0.436685i | ||||
\(985\) | −15.6368 | − | 23.4022i | −0.498231 | − | 0.745655i | ||||
\(986\) | 3.50499 | − | 3.20020i | 0.111622 | − | 0.101915i | ||||
\(987\) | 6.85304 | − | 3.89220i | 0.218135 | − | 0.123890i | ||||
\(988\) | −5.33629 | + | 4.44522i | −0.169770 | + | 0.141421i | ||||
\(989\) | −82.2823 | + | 8.10410i | −2.61642 | + | 0.257695i | ||||
\(990\) | 13.7579 | − | 26.1068i | 0.437256 | − | 0.829729i | ||||
\(991\) | 20.8768 | + | 20.8768i | 0.663174 | + | 0.663174i | 0.956127 | − | 0.292953i | \(-0.0946380\pi\) |
−0.292953 | + | 0.956127i | \(0.594638\pi\) | |||||||
\(992\) | −19.1782 | + | 9.50432i | −0.608909 | + | 0.301762i | ||||
\(993\) | −40.8271 | + | 9.21539i | −1.29561 | + | 0.292441i | ||||
\(994\) | 0.350590 | − | 2.42465i | 0.0111200 | − | 0.0769054i | ||||
\(995\) | −0.262757 | + | 0.0258793i | −0.00832997 | + | 0.000820431i | ||||
\(996\) | 24.3109 | + | 6.50758i | 0.770320 | + | 0.206201i | ||||
\(997\) | −12.4958 | + | 23.3780i | −0.395746 | + | 0.740389i | −0.998336 | − | 0.0576618i | \(-0.981635\pi\) |
0.602590 | + | 0.798051i | \(0.294135\pi\) | |||||||
\(998\) | 1.67617 | + | 0.0761905i | 0.0530583 | + | 0.00241177i | ||||
\(999\) | 14.2555 | + | 28.0889i | 0.451024 | + | 0.888692i |
(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 | 384.2.w.a.107.36 | yes | 992 | |
3.2 | odd | 2 | inner | 384.2.w.a.107.27 | ✓ | 992 | |
128.67 | odd | 32 | inner | 384.2.w.a.323.27 | yes | 992 | |
384.323 | even | 32 | inner | 384.2.w.a.323.36 | yes | 992 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.w.a.107.27 | ✓ | 992 | 3.2 | odd | 2 | inner | |
384.2.w.a.107.36 | yes | 992 | 1.1 | even | 1 | trivial | |
384.2.w.a.323.27 | yes | 992 | 128.67 | odd | 32 | inner | |
384.2.w.a.323.36 | yes | 992 | 384.323 | even | 32 | inner |