Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [819,2,Mod(176,819)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(819, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 0, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("819.176");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 819 = 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 819.ew (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: | \(6.53974792554\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(84\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 470.66 | ||
Character | \(\chi\) | \(=\) | 819.470 |
Dual form | 819.2.ew.a.176.66 |
$q$-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 \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(379\) | \(703\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{12}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.24887 | + | 1.24887i | 0.883088 | + | 0.883088i | 0.993847 | − | 0.110760i | \(-0.0353284\pi\) |
−0.110760 | + | 0.993847i | \(0.535328\pi\) | |||||||
\(3\) | −0.599129 | − | 1.62513i | −0.345907 | − | 0.938269i | ||||
\(4\) | 1.11938i | 0.559688i | ||||||||
\(5\) | −0.587158 | + | 2.19131i | −0.262585 | + | 0.979981i | 0.701127 | + | 0.713037i | \(0.252681\pi\) |
−0.963712 | + | 0.266945i | \(0.913986\pi\) | |||||||
\(6\) | 1.28135 | − | 2.77782i | 0.523107 | − | 1.13404i | ||||
\(7\) | −0.258819 | + | 0.965926i | −0.0978244 | + | 0.365086i | ||||
\(8\) | 1.09979 | − | 1.09979i | 0.388834 | − | 0.388834i | ||||
\(9\) | −2.28209 | + | 1.94732i | −0.760696 | + | 0.649108i | ||||
\(10\) | −3.46995 | + | 2.00338i | −1.09730 | + | 0.633524i | ||||
\(11\) | −2.29766 | + | 2.29766i | −0.692770 | + | 0.692770i | −0.962840 | − | 0.270071i | \(-0.912953\pi\) |
0.270071 | + | 0.962840i | \(0.412953\pi\) | |||||||
\(12\) | 1.81913 | − | 0.670650i | 0.525137 | − | 0.193600i | ||||
\(13\) | −2.31332 | + | 2.76560i | −0.641601 | + | 0.767039i | ||||
\(14\) | −1.52955 | + | 0.883088i | −0.408790 | + | 0.236015i | ||||
\(15\) | 3.91294 | − | 0.358666i | 1.01032 | − | 0.0926073i | ||||
\(16\) | 4.98575 | 1.24644 | ||||||||
\(17\) | −0.515980 | + | 0.893703i | −0.125144 | + | 0.216755i | −0.921789 | − | 0.387692i | \(-0.873272\pi\) |
0.796646 | + | 0.604447i | \(0.206606\pi\) | |||||||
\(18\) | −5.28201 | − | 0.418079i | −1.24498 | − | 0.0985422i | ||||
\(19\) | 1.09206 | + | 4.07562i | 0.250535 | + | 0.935011i | 0.970520 | + | 0.241021i | \(0.0774822\pi\) |
−0.719984 | + | 0.693990i | \(0.755851\pi\) | |||||||
\(20\) | −2.45289 | − | 0.657251i | −0.548483 | − | 0.146966i | ||||
\(21\) | 1.72482 | − | 0.158100i | 0.376387 | − | 0.0345002i | ||||
\(22\) | −5.73897 | −1.22355 | ||||||||
\(23\) | −0.536080 | + | 0.928518i | −0.111780 | + | 0.193609i | −0.916488 | − | 0.400062i | \(-0.868989\pi\) |
0.804708 | + | 0.593671i | \(0.202322\pi\) | |||||||
\(24\) | −2.44622 | − | 1.12838i | −0.499332 | − | 0.230330i | ||||
\(25\) | −0.126936 | − | 0.0732865i | −0.0253872 | − | 0.0146573i | ||||
\(26\) | −6.34294 | + | 0.564832i | −1.24395 | + | 0.110773i | ||||
\(27\) | 4.53192 | + | 2.54199i | 0.872168 | + | 0.489206i | ||||
\(28\) | −1.08123 | − | 0.289716i | −0.204334 | − | 0.0547511i | ||||
\(29\) | − | 1.61779i | − | 0.300415i | −0.988654 | − | 0.150208i | \(-0.952006\pi\) | ||
0.988654 | − | 0.150208i | \(-0.0479942\pi\) | |||||||
\(30\) | 5.33470 | + | 4.43884i | 0.973978 | + | 0.810417i | ||||
\(31\) | 0.634016 | + | 0.169884i | 0.113873 | + | 0.0305121i | 0.315305 | − | 0.948990i | \(-0.397893\pi\) |
−0.201433 | + | 0.979502i | \(0.564560\pi\) | |||||||
\(32\) | 4.02700 | + | 4.02700i | 0.711879 | + | 0.711879i | ||||
\(33\) | 5.11058 | + | 2.35740i | 0.889638 | + | 0.410370i | ||||
\(34\) | −1.76052 | + | 0.471729i | −0.301926 | + | 0.0809009i | ||||
\(35\) | −1.96467 | − | 1.13430i | −0.332090 | − | 0.191732i | ||||
\(36\) | −2.17979 | − | 2.55451i | −0.363298 | − | 0.425752i | ||||
\(37\) | −2.27102 | + | 8.47557i | −0.373354 | + | 1.39337i | 0.482382 | + | 0.875961i | \(0.339772\pi\) |
−0.855736 | + | 0.517413i | \(0.826895\pi\) | |||||||
\(38\) | −3.72609 | + | 6.45378i | −0.604452 | + | 1.04694i | ||||
\(39\) | 5.88043 | + | 2.10250i | 0.941623 | + | 0.336670i | ||||
\(40\) | 1.76422 | + | 3.05573i | 0.278948 | + | 0.483153i | ||||
\(41\) | −5.51787 | + | 1.47851i | −0.861746 | + | 0.230904i | −0.662515 | − | 0.749049i | \(-0.730511\pi\) |
−0.199231 | + | 0.979953i | \(0.563844\pi\) | |||||||
\(42\) | 2.35153 | + | 1.95664i | 0.362849 | + | 0.301916i | ||||
\(43\) | 8.91134 | − | 5.14496i | 1.35897 | − | 0.784600i | 0.369482 | − | 0.929238i | \(-0.379535\pi\) |
0.989485 | + | 0.144638i | \(0.0462019\pi\) | |||||||
\(44\) | −2.57194 | − | 2.57194i | −0.387735 | − | 0.387735i | ||||
\(45\) | −2.92723 | − | 6.14414i | −0.436366 | − | 0.915914i | ||||
\(46\) | −1.82910 | + | 0.490106i | −0.269686 | + | 0.0722621i | ||||
\(47\) | −0.876570 | − | 3.27140i | −0.127861 | − | 0.477183i | 0.872065 | − | 0.489391i | \(-0.162781\pi\) |
−0.999925 | + | 0.0122074i | \(0.996114\pi\) | |||||||
\(48\) | −2.98711 | − | 8.10249i | −0.431152 | − | 1.16949i | ||||
\(49\) | −0.866025 | − | 0.500000i | −0.123718 | − | 0.0714286i | ||||
\(50\) | −0.0670014 | − | 0.250053i | −0.00947544 | − | 0.0353628i | ||||
\(51\) | 1.76152 | + | 0.303090i | 0.246662 | + | 0.0424411i | ||||
\(52\) | −3.09574 | − | 2.58948i | −0.429302 | − | 0.359096i | ||||
\(53\) | − | 4.95146i | − | 0.680135i | −0.940401 | − | 0.340068i | \(-0.889550\pi\) | ||
0.940401 | − | 0.340068i | \(-0.110450\pi\) | |||||||
\(54\) | 2.48517 | + | 8.83442i | 0.338189 | + | 1.20221i | ||||
\(55\) | −3.68578 | − | 6.38396i | −0.496990 | − | 0.860813i | ||||
\(56\) | 0.777669 | + | 1.34696i | 0.103920 | + | 0.179995i | ||||
\(57\) | 5.96912 | − | 4.21656i | 0.790630 | − | 0.558497i | ||||
\(58\) | 2.02041 | − | 2.02041i | 0.265293 | − | 0.265293i | ||||
\(59\) | −7.44066 | + | 7.44066i | −0.968691 | + | 0.968691i | −0.999525 | − | 0.0308332i | \(-0.990184\pi\) |
0.0308332 | + | 0.999525i | \(0.490184\pi\) | |||||||
\(60\) | 0.401482 | + | 4.38005i | 0.0518311 | + | 0.565461i | ||||
\(61\) | −1.16522 | − | 2.01822i | −0.149191 | − | 0.258406i | 0.781738 | − | 0.623607i | \(-0.214334\pi\) |
−0.930929 | + | 0.365201i | \(0.881000\pi\) | |||||||
\(62\) | 0.579643 | + | 1.00397i | 0.0736147 | + | 0.127504i | ||||
\(63\) | −1.29032 | − | 2.70833i | −0.162565 | − | 0.341218i | ||||
\(64\) | 0.0869266i | 0.0108658i | ||||||||
\(65\) | −4.70198 | − | 6.69304i | −0.583209 | − | 0.830170i | ||||
\(66\) | 3.43838 | + | 9.32657i | 0.423236 | + | 1.14802i | ||||
\(67\) | 3.01634 | + | 11.2571i | 0.368504 | + | 1.37528i | 0.862608 | + | 0.505873i | \(0.168830\pi\) |
−0.494104 | + | 0.869403i | \(0.664504\pi\) | |||||||
\(68\) | −1.00039 | − | 0.577575i | −0.121315 | − | 0.0700413i | ||||
\(69\) | 1.83014 | + | 0.314897i | 0.220323 | + | 0.0379092i | ||||
\(70\) | −1.03702 | − | 3.87023i | −0.123948 | − | 0.462581i | ||||
\(71\) | 6.76346 | − | 1.81226i | 0.802675 | − | 0.215076i | 0.165917 | − | 0.986140i | \(-0.446942\pi\) |
0.636758 | + | 0.771064i | \(0.280275\pi\) | |||||||
\(72\) | −0.368171 | + | 4.65147i | −0.0433893 | + | 0.548180i | ||||
\(73\) | −5.26512 | − | 5.26512i | −0.616235 | − | 0.616235i | 0.328328 | − | 0.944564i | \(-0.393515\pi\) |
−0.944564 | + | 0.328328i | \(0.893515\pi\) | |||||||
\(74\) | −13.4211 | + | 7.74870i | −1.56018 | + | 0.900768i | ||||
\(75\) | −0.0430490 | + | 0.250195i | −0.00497087 | + | 0.0288901i | ||||
\(76\) | −4.56215 | + | 1.22242i | −0.523314 | + | 0.140222i | ||||
\(77\) | −1.62469 | − | 2.81404i | −0.185151 | − | 0.320690i | ||||
\(78\) | 4.71816 | + | 9.96968i | 0.534227 | + | 1.12884i | ||||
\(79\) | 3.20406 | − | 5.54959i | 0.360485 | − | 0.624378i | −0.627556 | − | 0.778571i | \(-0.715945\pi\) |
0.988041 | + | 0.154194i | \(0.0492780\pi\) | |||||||
\(80\) | −2.92742 | + | 10.9253i | −0.327296 | + | 1.22149i | ||||
\(81\) | 1.41586 | − | 8.88793i | 0.157318 | − | 0.987548i | ||||
\(82\) | −8.73759 | − | 5.04465i | −0.964906 | − | 0.557088i | ||||
\(83\) | −14.5449 | + | 3.89728i | −1.59651 | + | 0.427782i | −0.943985 | − | 0.329988i | \(-0.892955\pi\) |
−0.652521 | + | 0.757771i | \(0.726288\pi\) | |||||||
\(84\) | 0.176973 | + | 1.93072i | 0.0193094 | + | 0.210659i | ||||
\(85\) | −1.65541 | − | 1.65541i | −0.179555 | − | 0.179555i | ||||
\(86\) | 17.5546 | + | 4.70373i | 1.89296 | + | 0.507216i | ||||
\(87\) | −2.62911 | + | 0.969262i | −0.281870 | + | 0.103916i | ||||
\(88\) | 5.05388i | 0.538745i | ||||||||
\(89\) | −7.37301 | − | 1.97559i | −0.781538 | − | 0.209412i | −0.154075 | − | 0.988059i | \(-0.549240\pi\) |
−0.627463 | + | 0.778647i | \(0.715906\pi\) | |||||||
\(90\) | 4.01751 | − | 11.3290i | 0.423483 | − | 1.19418i | ||||
\(91\) | −2.07263 | − | 2.95029i | −0.217271 | − | 0.309274i | ||||
\(92\) | −1.03936 | − | 0.600075i | −0.108361 | − | 0.0625621i | ||||
\(93\) | −0.103774 | − | 1.13214i | −0.0107609 | − | 0.117397i | ||||
\(94\) | 2.99085 | − | 5.18030i | 0.308482 | − | 0.534307i | ||||
\(95\) | −9.57214 | −0.982080 | ||||||||
\(96\) | 4.13170 | − | 8.95708i | 0.421690 | − | 0.914178i | ||||
\(97\) | 13.6438 | + | 3.65583i | 1.38531 | + | 0.371194i | 0.873048 | − | 0.487634i | \(-0.162140\pi\) |
0.512265 | + | 0.858827i | \(0.328807\pi\) | |||||||
\(98\) | −0.457120 | − | 1.70599i | −0.0461761 | − | 0.172331i | ||||
\(99\) | 0.769174 | − | 9.71774i | 0.0773049 | − | 0.976670i | ||||
\(100\) | 0.0820351 | − | 0.142089i | 0.00820351 | − | 0.0142089i | ||||
\(101\) | 12.8100 | 1.27464 | 0.637322 | − | 0.770598i | \(-0.280042\pi\) | ||||
0.637322 | + | 0.770598i | \(0.280042\pi\) | |||||||
\(102\) | 1.82140 | + | 2.57844i | 0.180345 | + | 0.255304i | ||||
\(103\) | −7.14294 | + | 4.12398i | −0.703815 | + | 0.406348i | −0.808767 | − | 0.588130i | \(-0.799864\pi\) |
0.104952 | + | 0.994477i | \(0.466531\pi\) | |||||||
\(104\) | 0.497405 | + | 5.58575i | 0.0487745 | + | 0.547728i | ||||
\(105\) | −0.666298 | + | 3.87244i | −0.0650240 | + | 0.377911i | ||||
\(106\) | 6.18375 | − | 6.18375i | 0.600619 | − | 0.600619i | ||||
\(107\) | 12.4272 | − | 7.17485i | 1.20138 | − | 0.693619i | 0.240520 | − | 0.970644i | \(-0.422682\pi\) |
0.960863 | + | 0.277025i | \(0.0893486\pi\) | |||||||
\(108\) | −2.84544 | + | 5.07292i | −0.273803 | + | 0.488142i | ||||
\(109\) | 13.6878 | − | 13.6878i | 1.31105 | − | 1.31105i | 0.390416 | − | 0.920639i | \(-0.372331\pi\) |
0.920639 | − | 0.390416i | \(-0.127669\pi\) | |||||||
\(110\) | 3.36969 | − | 12.5758i | 0.321287 | − | 1.19906i | ||||
\(111\) | 15.1345 | − | 1.38726i | 1.43651 | − | 0.131672i | ||||
\(112\) | −1.29041 | + | 4.81586i | −0.121932 | + | 0.455056i | ||||
\(113\) | − | 10.9460i | − | 1.02971i | −0.857277 | − | 0.514855i | \(-0.827846\pi\) | ||
0.857277 | − | 0.514855i | \(-0.172154\pi\) | |||||||
\(114\) | 12.7206 | + | 2.18873i | 1.19140 | + | 0.204994i | ||||
\(115\) | −1.71990 | − | 1.71990i | −0.160382 | − | 0.160382i | ||||
\(116\) | 1.81091 | 0.168139 | ||||||||
\(117\) | −0.106302 | − | 10.8161i | −0.00982762 | − | 0.999952i | ||||
\(118\) | −18.5849 | −1.71088 | ||||||||
\(119\) | −0.729706 | − | 0.729706i | −0.0668920 | − | 0.0668920i | ||||
\(120\) | 3.90895 | − | 4.69787i | 0.356837 | − | 0.428855i | ||||
\(121\) | 0.441540i | 0.0401400i | ||||||||
\(122\) | 1.06529 | − | 3.97571i | 0.0964467 | − | 0.359944i | ||||
\(123\) | 5.70868 | + | 8.08143i | 0.514734 | + | 0.728678i | ||||
\(124\) | −0.190164 | + | 0.709702i | −0.0170772 | + | 0.0637331i | ||||
\(125\) | −7.78561 | + | 7.78561i | −0.696366 | + | 0.696366i | ||||
\(126\) | 1.77092 | − | 4.99382i | 0.157766 | − | 0.444885i | ||||
\(127\) | 4.95500 | − | 2.86077i | 0.439685 | − | 0.253853i | −0.263779 | − | 0.964583i | \(-0.584969\pi\) |
0.703464 | + | 0.710731i | \(0.251636\pi\) | |||||||
\(128\) | 7.94543 | − | 7.94543i | 0.702284 | − | 0.702284i | ||||
\(129\) | −13.7003 | − | 11.3996i | −1.20624 | − | 1.00368i | ||||
\(130\) | 2.48659 | − | 14.2310i | 0.218088 | − | 1.24814i | ||||
\(131\) | 15.4112 | − | 8.89768i | 1.34649 | − | 0.777394i | 0.358736 | − | 0.933439i | \(-0.383208\pi\) |
0.987750 | + | 0.156045i | \(0.0498745\pi\) | |||||||
\(132\) | −2.63881 | + | 5.72066i | −0.229679 | + | 0.497920i | ||||
\(133\) | −4.21939 | −0.365868 | ||||||||
\(134\) | −10.2917 | + | 17.8258i | −0.889068 | + | 1.53991i | ||||
\(135\) | −8.23123 | + | 8.43827i | −0.708431 | + | 0.726250i | ||||
\(136\) | 0.415416 | + | 1.55036i | 0.0356217 | + | 0.132942i | ||||
\(137\) | −11.3607 | − | 3.04410i | −0.970614 | − | 0.260075i | −0.261527 | − | 0.965196i | \(-0.584226\pi\) |
−0.709087 | + | 0.705121i | \(0.750893\pi\) | |||||||
\(138\) | 1.89235 | + | 2.67888i | 0.161088 | + | 0.228042i | ||||
\(139\) | 14.4548 | 1.22604 | 0.613019 | − | 0.790068i | \(-0.289955\pi\) | ||||
0.613019 | + | 0.790068i | \(0.289955\pi\) | |||||||
\(140\) | 1.26971 | − | 2.19920i | 0.107310 | − | 0.185867i | ||||
\(141\) | −4.79128 | + | 3.38453i | −0.403498 | + | 0.285029i | ||||
\(142\) | 10.7100 | + | 6.18342i | 0.898763 | + | 0.518901i | ||||
\(143\) | −1.03917 | − | 11.6696i | −0.0868995 | − | 0.975863i | ||||
\(144\) | −11.3779 | + | 9.70887i | −0.948160 | + | 0.809073i | ||||
\(145\) | 3.54506 | + | 0.949896i | 0.294401 | + | 0.0788846i | ||||
\(146\) | − | 13.1509i | − | 1.08838i | ||||||
\(147\) | −0.293704 | + | 1.70697i | −0.0242243 | + | 0.140788i | ||||
\(148\) | −9.48734 | − | 2.54212i | −0.779854 | − | 0.208961i | ||||
\(149\) | −3.21647 | − | 3.21647i | −0.263503 | − | 0.263503i | 0.562972 | − | 0.826476i | \(-0.309658\pi\) |
−0.826476 | + | 0.562972i | \(0.809658\pi\) | |||||||
\(150\) | −0.366226 | + | 0.258700i | −0.0299022 | + | 0.0211228i | ||||
\(151\) | 0.446291 | − | 0.119583i | 0.0363187 | − | 0.00973156i | −0.240614 | − | 0.970621i | \(-0.577349\pi\) |
0.276933 | + | 0.960889i | \(0.410682\pi\) | |||||||
\(152\) | 5.68336 | + | 3.28129i | 0.460981 | + | 0.266148i | ||||
\(153\) | −0.562818 | − | 3.04429i | −0.0455012 | − | 0.246116i | ||||
\(154\) | 1.48536 | − | 5.54342i | 0.119693 | − | 0.446702i | ||||
\(155\) | −0.744536 | + | 1.28957i | −0.0598026 | + | 0.103581i | ||||
\(156\) | −2.35349 | + | 6.58241i | −0.188430 | + | 0.527015i | ||||
\(157\) | 0.333940 | + | 0.578401i | 0.0266513 | + | 0.0461615i | 0.879043 | − | 0.476742i | \(-0.158182\pi\) |
−0.852392 | + | 0.522903i | \(0.824849\pi\) | |||||||
\(158\) | 10.9322 | − | 2.92928i | 0.869720 | − | 0.233041i | ||||
\(159\) | −8.04676 | + | 2.96656i | −0.638150 | + | 0.235264i | ||||
\(160\) | −11.1889 | + | 6.45989i | −0.884557 | + | 0.510699i | ||||
\(161\) | −0.758131 | − | 0.758131i | −0.0597491 | − | 0.0597491i | ||||
\(162\) | 12.8681 | − | 9.33168i | 1.01102 | − | 0.733166i | ||||
\(163\) | 3.61581 | − | 0.968854i | 0.283212 | − | 0.0758865i | −0.114416 | − | 0.993433i | \(-0.536500\pi\) |
0.397629 | + | 0.917546i | \(0.369833\pi\) | |||||||
\(164\) | −1.65500 | − | 6.17656i | −0.129234 | − | 0.482308i | ||||
\(165\) | −8.16650 | + | 9.81468i | −0.635761 | + | 0.764072i | ||||
\(166\) | −23.0319 | − | 13.2975i | −1.78762 | − | 1.03209i | ||||
\(167\) | 5.39182 | + | 20.1225i | 0.417232 | + | 1.55713i | 0.780323 | + | 0.625376i | \(0.215054\pi\) |
−0.363092 | + | 0.931753i | \(0.618279\pi\) | |||||||
\(168\) | 1.72306 | − | 2.07082i | 0.132937 | − | 0.159767i | ||||
\(169\) | −2.29706 | − | 12.7954i | −0.176697 | − | 0.984265i | ||||
\(170\) | − | 4.13481i | − | 0.317126i | ||||||
\(171\) | −10.4287 | − | 7.17433i | −0.797505 | − | 0.548635i | ||||
\(172\) | 5.75915 | + | 9.97513i | 0.439131 | + | 0.760597i | ||||
\(173\) | 0.810815 | + | 1.40437i | 0.0616451 | + | 0.106772i | 0.895201 | − | 0.445663i | \(-0.147032\pi\) |
−0.833556 | + | 0.552435i | \(0.813699\pi\) | |||||||
\(174\) | −4.49392 | − | 2.07294i | −0.340683 | − | 0.157149i | ||||
\(175\) | 0.103643 | − | 0.103643i | 0.00783466 | − | 0.00783466i | ||||
\(176\) | −11.4555 | + | 11.4555i | −0.863494 | + | 0.863494i | ||||
\(177\) | 16.5499 | + | 7.63412i | 1.24397 | + | 0.573815i | ||||
\(178\) | −6.74070 | − | 11.6752i | −0.505237 | − | 0.875096i | ||||
\(179\) | 5.63634 | + | 9.76243i | 0.421280 | + | 0.729678i | 0.996065 | − | 0.0886263i | \(-0.0282477\pi\) |
−0.574785 | + | 0.818304i | \(0.694914\pi\) | |||||||
\(180\) | 6.87760 | − | 3.27667i | 0.512626 | − | 0.244229i | ||||
\(181\) | − | 17.8891i | − | 1.32968i | −0.746984 | − | 0.664842i | \(-0.768499\pi\) | ||
0.746984 | − | 0.664842i | \(-0.231501\pi\) | |||||||
\(182\) | 1.09609 | − | 6.27300i | 0.0812474 | − | 0.464985i | ||||
\(183\) | −2.58175 | + | 3.10280i | −0.190848 | + | 0.229366i | ||||
\(184\) | 0.431599 | + | 1.61075i | 0.0318179 | + | 0.118746i | ||||
\(185\) | −17.2391 | − | 9.95300i | −1.26744 | − | 0.731759i | ||||
\(186\) | 1.28430 | − | 1.54350i | 0.0941695 | − | 0.113175i | ||||
\(187\) | −0.867879 | − | 3.23897i | −0.0634656 | − | 0.236857i | ||||
\(188\) | 3.66193 | − | 0.981211i | 0.267074 | − | 0.0715622i | ||||
\(189\) | −3.62832 | + | 3.71958i | −0.263921 | + | 0.270560i | ||||
\(190\) | −11.9544 | − | 11.9544i | −0.867263 | − | 0.867263i | ||||
\(191\) | −6.53696 | + | 3.77411i | −0.472998 | + | 0.273085i | −0.717494 | − | 0.696565i | \(-0.754711\pi\) |
0.244496 | + | 0.969650i | \(0.421377\pi\) | |||||||
\(192\) | 0.141267 | − | 0.0520802i | 0.0101951 | − | 0.00375857i | ||||
\(193\) | −3.73171 | + | 0.999908i | −0.268614 | + | 0.0719749i | −0.390612 | − | 0.920555i | \(-0.627737\pi\) |
0.121998 | + | 0.992530i | \(0.461070\pi\) | |||||||
\(194\) | 12.4737 | + | 21.6050i | 0.895557 | + | 1.55115i | ||||
\(195\) | −8.05997 | + | 11.6513i | −0.577186 | + | 0.834368i | ||||
\(196\) | 0.559688 | − | 0.969407i | 0.0399777 | − | 0.0692434i | ||||
\(197\) | −4.31176 | + | 16.0917i | −0.307200 | + | 1.14649i | 0.623835 | + | 0.781556i | \(0.285574\pi\) |
−0.931035 | + | 0.364930i | \(0.881093\pi\) | |||||||
\(198\) | 13.0968 | − | 11.1756i | 0.930752 | − | 0.794218i | ||||
\(199\) | −3.50190 | − | 2.02182i | −0.248243 | − | 0.143323i | 0.370717 | − | 0.928746i | \(-0.379112\pi\) |
−0.618959 | + | 0.785423i | \(0.712445\pi\) | |||||||
\(200\) | −0.220203 | + | 0.0590031i | −0.0155707 | + | 0.00417215i | ||||
\(201\) | 16.4871 | − | 11.6464i | 1.16291 | − | 0.821474i | ||||
\(202\) | 15.9981 | + | 15.9981i | 1.12562 | + | 1.12562i | ||||
\(203\) | 1.56266 | + | 0.418714i | 0.109677 | + | 0.0293879i | ||||
\(204\) | −0.339272 | + | 1.97180i | −0.0237538 | + | 0.138054i | ||||
\(205\) | − | 12.9594i | − | 0.905127i | ||||||
\(206\) | −14.0710 | − | 3.77030i | −0.980371 | − | 0.262690i | ||||
\(207\) | −0.584743 | − | 3.16288i | −0.0406424 | − | 0.219835i | ||||
\(208\) | −11.5337 | + | 13.7886i | −0.799715 | + | 0.956066i | ||||
\(209\) | −11.8736 | − | 6.85520i | −0.821311 | − | 0.474184i | ||||
\(210\) | −5.66831 | + | 4.00407i | −0.391151 | + | 0.276307i | ||||
\(211\) | −10.8715 | + | 18.8299i | −0.748423 | + | 1.29631i | 0.200156 | + | 0.979764i | \(0.435855\pi\) |
−0.948579 | + | 0.316542i | \(0.897478\pi\) | |||||||
\(212\) | 5.54254 | 0.380663 | ||||||||
\(213\) | −6.99734 | − | 9.90571i | −0.479450 | − | 0.678728i | ||||
\(214\) | 24.4805 | + | 6.55953i | 1.67345 | + | 0.448400i | ||||
\(215\) | 6.04182 | + | 22.5484i | 0.412049 | + | 1.53779i | ||||
\(216\) | 7.77981 | − | 2.18850i | 0.529349 | − | 0.148909i | ||||
\(217\) | −0.328191 | + | 0.568443i | −0.0222790 | + | 0.0385884i | ||||
\(218\) | 34.1887 | 2.31555 | ||||||||
\(219\) | −5.40201 | + | 11.7110i | −0.365034 | + | 0.791354i | ||||
\(220\) | 7.14604 | − | 4.12577i | 0.481786 | − | 0.278159i | ||||
\(221\) | −1.27799 | − | 3.49442i | −0.0859672 | − | 0.235060i | ||||
\(222\) | 20.6336 | + | 17.1686i | 1.38484 | + | 1.15228i | ||||
\(223\) | 7.47418 | − | 7.47418i | 0.500508 | − | 0.500508i | −0.411088 | − | 0.911596i | \(-0.634851\pi\) |
0.911596 | + | 0.411088i | \(0.134851\pi\) | |||||||
\(224\) | −4.93204 | + | 2.84752i | −0.329536 | + | 0.190258i | ||||
\(225\) | 0.432392 | − | 0.0799392i | 0.0288261 | − | 0.00532928i | ||||
\(226\) | 13.6701 | − | 13.6701i | 0.909324 | − | 0.909324i | ||||
\(227\) | 5.85035 | − | 21.8338i | 0.388301 | − | 1.44916i | −0.444595 | − | 0.895732i | \(-0.646652\pi\) |
0.832896 | − | 0.553429i | \(-0.186681\pi\) | |||||||
\(228\) | 4.71991 | + | 6.68169i | 0.312584 | + | 0.442506i | ||||
\(229\) | −0.565081 | + | 2.10891i | −0.0373416 | + | 0.139361i | −0.982080 | − | 0.188464i | \(-0.939649\pi\) |
0.944738 | + | 0.327825i | \(0.106316\pi\) | |||||||
\(230\) | − | 4.29588i | − | 0.283262i | ||||||
\(231\) | −3.59979 | + | 4.32631i | −0.236849 | + | 0.284650i | ||||
\(232\) | −1.77922 | − | 1.77922i | −0.116812 | − | 0.116812i | ||||
\(233\) | 3.72319 | 0.243914 | 0.121957 | − | 0.992535i | \(-0.461083\pi\) | ||||
0.121957 | + | 0.992535i | \(0.461083\pi\) | |||||||
\(234\) | 13.3752 | − | 13.6407i | 0.874366 | − | 0.891724i | ||||
\(235\) | 7.68333 | 0.501205 | ||||||||
\(236\) | −8.32889 | − | 8.32889i | −0.542165 | − | 0.542165i | ||||
\(237\) | −10.9384 | − | 1.88209i | −0.710528 | − | 0.122255i | ||||
\(238\) | − | 1.82262i | − | 0.118143i | ||||||
\(239\) | −3.65470 | + | 13.6395i | −0.236403 | + | 0.882268i | 0.741109 | + | 0.671385i | \(0.234300\pi\) |
−0.977511 | + | 0.210882i | \(0.932366\pi\) | |||||||
\(240\) | 19.5089 | − | 1.78822i | 1.25930 | − | 0.115429i | ||||
\(241\) | 5.71740 | − | 21.3376i | 0.368290 | − | 1.37448i | −0.494616 | − | 0.869112i | \(-0.664691\pi\) |
0.862906 | − | 0.505365i | \(-0.168642\pi\) | |||||||
\(242\) | −0.551428 | + | 0.551428i | −0.0354471 | + | 0.0354471i | ||||
\(243\) | −15.2923 | + | 3.02407i | −0.981003 | + | 0.193994i | ||||
\(244\) | 2.25914 | − | 1.30432i | 0.144627 | − | 0.0835003i | ||||
\(245\) | 1.60415 | − | 1.60415i | 0.102485 | − | 0.102485i | ||||
\(246\) | −2.96326 | + | 17.2221i | −0.188931 | + | 1.09804i | ||||
\(247\) | −13.7978 | − | 6.40804i | −0.877933 | − | 0.407734i | ||||
\(248\) | 0.884121 | − | 0.510448i | 0.0561418 | − | 0.0324135i | ||||
\(249\) | 15.0478 | + | 21.3023i | 0.953618 | + | 1.34998i | ||||
\(250\) | −19.4465 | −1.22990 | ||||||||
\(251\) | −4.72679 | + | 8.18704i | −0.298352 | + | 0.516762i | −0.975759 | − | 0.218847i | \(-0.929770\pi\) |
0.677407 | + | 0.735609i | \(0.263104\pi\) | |||||||
\(252\) | 3.03164 | − | 1.44436i | 0.190975 | − | 0.0909858i | ||||
\(253\) | −0.901688 | − | 3.36514i | −0.0566886 | − | 0.211565i | ||||
\(254\) | 9.76092 | + | 2.61543i | 0.612455 | + | 0.164107i | ||||
\(255\) | −1.69846 | + | 3.68207i | −0.106361 | + | 0.230580i | ||||
\(256\) | 20.0195 | 1.25122 | ||||||||
\(257\) | −8.93855 | + | 15.4820i | −0.557571 | + | 0.965742i | 0.440127 | + | 0.897935i | \(0.354933\pi\) |
−0.997698 | + | 0.0678065i | \(0.978400\pi\) | |||||||
\(258\) | −2.87328 | − | 31.3466i | −0.178883 | − | 1.95155i | ||||
\(259\) | −7.59898 | − | 4.38728i | −0.472178 | − | 0.272612i | ||||
\(260\) | 7.49203 | − | 5.26328i | 0.464636 | − | 0.326415i | ||||
\(261\) | 3.15035 | + | 3.69193i | 0.195002 | + | 0.228525i | ||||
\(262\) | 30.3588 | + | 8.13461i | 1.87557 | + | 0.502558i | ||||
\(263\) | 21.7847i | 1.34330i | 0.740866 | + | 0.671652i | \(0.234415\pi\) | ||||
−0.740866 | + | 0.671652i | \(0.765585\pi\) | |||||||
\(264\) | 8.21321 | − | 3.02793i | 0.505488 | − | 0.186356i | ||||
\(265\) | 10.8502 | + | 2.90729i | 0.666520 | + | 0.178593i | ||||
\(266\) | −5.26949 | − | 5.26949i | −0.323093 | − | 0.323093i | ||||
\(267\) | 1.20679 | + | 13.1657i | 0.0738545 | + | 0.805730i | ||||
\(268\) | −12.6009 | + | 3.37641i | −0.769725 | + | 0.206247i | ||||
\(269\) | 5.76509 | + | 3.32847i | 0.351504 | + | 0.202941i | 0.665347 | − | 0.746534i | \(-0.268283\pi\) |
−0.313844 | + | 0.949475i | \(0.601617\pi\) | |||||||
\(270\) | −20.8181 | + | 0.258561i | −1.26695 | + | 0.0157355i | ||||
\(271\) | −7.45243 | + | 27.8128i | −0.452703 | + | 1.68951i | 0.242052 | + | 0.970263i | \(0.422179\pi\) |
−0.694755 | + | 0.719246i | \(0.744487\pi\) | |||||||
\(272\) | −2.57255 | + | 4.45578i | −0.155984 | + | 0.270171i | ||||
\(273\) | −3.55283 | + | 5.13589i | −0.215027 | + | 0.310838i | ||||
\(274\) | −10.3864 | − | 17.9898i | −0.627468 | − | 1.08681i | ||||
\(275\) | 0.460043 | − | 0.123268i | 0.0277416 | − | 0.00743335i | ||||
\(276\) | −0.352488 | + | 2.04862i | −0.0212173 | + | 0.123312i | ||||
\(277\) | −2.17999 | + | 1.25862i | −0.130983 | + | 0.0756231i | −0.564060 | − | 0.825734i | \(-0.690761\pi\) |
0.433077 | + | 0.901357i | \(0.357428\pi\) | |||||||
\(278\) | 18.0522 | + | 18.0522i | 1.08270 | + | 1.08270i | ||||
\(279\) | −1.77770 | + | 0.846944i | −0.106428 | + | 0.0507052i | ||||
\(280\) | −3.40822 | + | 0.913230i | −0.203680 | + | 0.0545759i | ||||
\(281\) | 3.87349 | + | 14.4561i | 0.231073 | + | 0.862376i | 0.979880 | + | 0.199588i | \(0.0639603\pi\) |
−0.748807 | + | 0.662788i | \(0.769373\pi\) | |||||||
\(282\) | −10.2106 | − | 1.75684i | −0.608030 | − | 0.104619i | ||||
\(283\) | 19.6687 | + | 11.3558i | 1.16919 | + | 0.675030i | 0.953488 | − | 0.301431i | \(-0.0974642\pi\) |
0.215697 | + | 0.976460i | \(0.430798\pi\) | |||||||
\(284\) | 2.02860 | + | 7.57085i | 0.120375 | + | 0.449247i | ||||
\(285\) | 5.73495 | + | 15.5560i | 0.339709 | + | 0.921455i | ||||
\(286\) | 13.2761 | − | 15.8717i | 0.785033 | − | 0.938512i | ||||
\(287\) | − | 5.71251i | − | 0.337199i | ||||||
\(288\) | −17.0318 | − | 1.34810i | −1.00361 | − | 0.0794373i | ||||
\(289\) | 7.96753 | + | 13.8002i | 0.468678 | + | 0.811774i | ||||
\(290\) | 3.24104 | + | 5.61364i | 0.190320 | + | 0.329644i | ||||
\(291\) | −2.23317 | − | 24.3632i | −0.130911 | − | 1.42819i | ||||
\(292\) | 5.89364 | − | 5.89364i | 0.344899 | − | 0.344899i | ||||
\(293\) | 9.67365 | − | 9.67365i | 0.565141 | − | 0.565141i | −0.365623 | − | 0.930763i | \(-0.619144\pi\) |
0.930763 | + | 0.365623i | \(0.119144\pi\) | |||||||
\(294\) | −2.49859 | + | 1.76499i | −0.145721 | + | 0.102936i | ||||
\(295\) | −11.9359 | − | 20.6736i | −0.694936 | − | 1.20366i | ||||
\(296\) | 6.82369 | + | 11.8190i | 0.396619 | + | 0.686965i | ||||
\(297\) | −16.2534 | + | 4.57217i | −0.943119 | + | 0.265304i | ||||
\(298\) | − | 8.03393i | − | 0.465393i | ||||||
\(299\) | −1.32778 | − | 3.63054i | −0.0767874 | − | 0.209960i | ||||
\(300\) | −0.280063 | − | 0.0481880i | −0.0161694 | − | 0.00278214i | ||||
\(301\) | 2.66323 | + | 9.93931i | 0.153506 | + | 0.572892i | ||||
\(302\) | 0.706707 | + | 0.408017i | 0.0406664 | + | 0.0234788i | ||||
\(303\) | −7.67485 | − | 20.8179i | −0.440909 | − | 1.19596i | ||||
\(304\) | 5.44473 | + | 20.3200i | 0.312277 | + | 1.16543i | ||||
\(305\) | 5.10670 | − | 1.36834i | 0.292409 | − | 0.0783507i | ||||
\(306\) | 3.09905 | − | 4.50483i | 0.177161 | − | 0.257524i | ||||
\(307\) | 9.40258 | + | 9.40258i | 0.536633 | + | 0.536633i | 0.922538 | − | 0.385905i | \(-0.126111\pi\) |
−0.385905 | + | 0.922538i | \(0.626111\pi\) | |||||||
\(308\) | 3.14997 | − | 1.81864i | 0.179486 | − | 0.103626i | ||||
\(309\) | 10.9815 | + | 9.13740i | 0.624718 | + | 0.519809i | ||||
\(310\) | −2.54035 | + | 0.680684i | −0.144282 | + | 0.0386603i | ||||
\(311\) | 3.11022 | + | 5.38706i | 0.176364 | + | 0.305472i | 0.940633 | − | 0.339426i | \(-0.110233\pi\) |
−0.764268 | + | 0.644899i | \(0.776900\pi\) | |||||||
\(312\) | 8.77955 | − | 4.15493i | 0.497044 | − | 0.235227i | ||||
\(313\) | 13.1775 | − | 22.8241i | 0.744838 | − | 1.29010i | −0.205433 | − | 0.978671i | \(-0.565860\pi\) |
0.950271 | − | 0.311425i | \(-0.100806\pi\) | |||||||
\(314\) | −0.305301 | + | 1.13940i | −0.0172292 | + | 0.0643001i | ||||
\(315\) | 6.69241 | − | 1.23727i | 0.377074 | − | 0.0697123i | ||||
\(316\) | 6.21208 | + | 3.58654i | 0.349457 | + | 0.201759i | ||||
\(317\) | −0.725516 | + | 0.194401i | −0.0407490 | + | 0.0109187i | −0.279136 | − | 0.960252i | \(-0.590048\pi\) |
0.238387 | + | 0.971170i | \(0.423381\pi\) | |||||||
\(318\) | −13.7543 | − | 6.34453i | −0.771301 | − | 0.355784i | ||||
\(319\) | 3.71712 | + | 3.71712i | 0.208119 | + | 0.208119i | ||||
\(320\) | −0.190483 | − | 0.0510397i | −0.0106483 | − | 0.00285320i | ||||
\(321\) | −19.1055 | − | 15.8971i | −1.06637 | − | 0.887292i | ||||
\(322\) | − | 1.89362i | − | 0.105527i | ||||||
\(323\) | −4.20588 | − | 1.12696i | −0.234021 | − | 0.0627058i | ||||
\(324\) | 9.94893 | + | 1.58488i | 0.552718 | + | 0.0880487i | ||||
\(325\) | 0.496325 | − | 0.181518i | 0.0275312 | − | 0.0100688i | ||||
\(326\) | 5.72567 | + | 3.30572i | 0.317116 | + | 0.183087i | ||||
\(327\) | −30.4452 | − | 14.0437i | −1.68362 | − | 0.776618i | ||||
\(328\) | −4.44244 | + | 7.69454i | −0.245293 | + | 0.424860i | ||||
\(329\) | 3.38681 | 0.186721 | ||||||||
\(330\) | −22.4562 | + | 2.05838i | −1.23618 | + | 0.113310i | ||||
\(331\) | 7.61419 | + | 2.04022i | 0.418514 | + | 0.112140i | 0.461929 | − | 0.886917i | \(-0.347157\pi\) |
−0.0434157 | + | 0.999057i | \(0.513824\pi\) | |||||||
\(332\) | −4.36252 | − | 16.2812i | −0.239425 | − | 0.893544i | ||||
\(333\) | −11.3220 | − | 23.7644i | −0.620442 | − | 1.30228i | ||||
\(334\) | −18.3968 | + | 31.8642i | −1.00663 | + | 1.74353i | ||||
\(335\) | −26.4388 | −1.44451 | ||||||||
\(336\) | 8.59952 | − | 0.788247i | 0.469142 | − | 0.0430024i | ||||
\(337\) | −3.41546 | + | 1.97191i | −0.186052 | + | 0.107417i | −0.590133 | − | 0.807306i | \(-0.700925\pi\) |
0.404081 | + | 0.914723i | \(0.367591\pi\) | |||||||
\(338\) | 13.1112 | − | 18.8486i | 0.713154 | − | 1.02523i | ||||
\(339\) | −17.7886 | + | 6.55804i | −0.966144 | + | 0.356184i | ||||
\(340\) | 1.85303 | − | 1.85303i | 0.100495 | − | 0.100495i | ||||
\(341\) | −1.84709 | + | 1.06642i | −0.100025 | + | 0.0577497i | ||||
\(342\) | −4.06433 | − | 21.9840i | −0.219774 | − | 1.18876i | ||||
\(343\) | 0.707107 | − | 0.707107i | 0.0381802 | − | 0.0381802i | ||||
\(344\) | 4.14222 | − | 15.4590i | 0.223334 | − | 0.833492i | ||||
\(345\) | −1.76462 | + | 3.82551i | −0.0950039 | + | 0.205958i | ||||
\(346\) | −0.741279 | + | 2.76649i | −0.0398514 | + | 0.148727i | ||||
\(347\) | 6.75475i | 0.362614i | 0.983427 | + | 0.181307i | \(0.0580327\pi\) | ||||
−0.983427 | + | 0.181307i | \(0.941967\pi\) | |||||||
\(348\) | −1.08497 | − | 2.94296i | −0.0581604 | − | 0.157759i | ||||
\(349\) | 10.2639 | + | 10.2639i | 0.549415 | + | 0.549415i | 0.926271 | − | 0.376857i | \(-0.122995\pi\) |
−0.376857 | + | 0.926271i | \(0.622995\pi\) | |||||||
\(350\) | 0.258874 | 0.0138374 | ||||||||
\(351\) | −17.5139 | + | 6.65301i | −0.934824 | + | 0.355112i | ||||
\(352\) | −18.5053 | −0.986337 | ||||||||
\(353\) | 8.10328 | + | 8.10328i | 0.431294 | + | 0.431294i | 0.889069 | − | 0.457774i | \(-0.151353\pi\) |
−0.457774 | + | 0.889069i | \(0.651353\pi\) | |||||||
\(354\) | 11.1348 | + | 30.2029i | 0.591806 | + | 1.60526i | ||||
\(355\) | 15.8849i | 0.843082i | ||||||||
\(356\) | 2.21143 | − | 8.25317i | 0.117206 | − | 0.437417i | ||||
\(357\) | −0.748678 | + | 1.62305i | −0.0396242 | + | 0.0859011i | ||||
\(358\) | −5.15297 | + | 19.2311i | −0.272343 | + | 1.01640i | ||||
\(359\) | −4.03999 | + | 4.03999i | −0.213222 | + | 0.213222i | −0.805635 | − | 0.592412i | \(-0.798176\pi\) |
0.592412 | + | 0.805635i | \(0.298176\pi\) | |||||||
\(360\) | −9.97660 | − | 3.53792i | −0.525813 | − | 0.186465i | ||||
\(361\) | 1.03640 | − | 0.598368i | 0.0545476 | − | 0.0314931i | ||||
\(362\) | 22.3412 | − | 22.3412i | 1.17423 | − | 1.17423i | ||||
\(363\) | 0.717560 | − | 0.264540i | 0.0376621 | − | 0.0138847i | ||||
\(364\) | 3.30248 | − | 2.32005i | 0.173097 | − | 0.121604i | ||||
\(365\) | 14.6289 | − | 8.44602i | 0.765713 | − | 0.442085i | ||||
\(366\) | −7.09929 | + | 0.650733i | −0.371086 | + | 0.0340143i | ||||
\(367\) | −21.2351 | −1.10846 | −0.554232 | − | 0.832362i | \(-0.686988\pi\) | ||||
−0.554232 | + | 0.832362i | \(0.686988\pi\) | |||||||
\(368\) | −2.67276 | + | 4.62936i | −0.139327 | + | 0.241322i | ||||
\(369\) | 9.71312 | − | 14.1192i | 0.505645 | − | 0.735014i | ||||
\(370\) | −9.09943 | − | 33.9595i | −0.473057 | − | 1.76547i | ||||
\(371\) | 4.78274 | + | 1.28153i | 0.248308 | + | 0.0665338i | ||||
\(372\) | 1.26729 | − | 0.116162i | 0.0657059 | − | 0.00602272i | ||||
\(373\) | −25.8805 | −1.34004 | −0.670020 | − | 0.742343i | \(-0.733714\pi\) | ||||
−0.670020 | + | 0.742343i | \(0.733714\pi\) | |||||||
\(374\) | 2.96119 | − | 5.12894i | 0.153120 | − | 0.265211i | ||||
\(375\) | 17.3172 | + | 7.98803i | 0.894257 | + | 0.412500i | ||||
\(376\) | −4.56190 | − | 2.63381i | −0.235262 | − | 0.135829i | ||||
\(377\) | 4.47414 | + | 3.74246i | 0.230430 | + | 0.192747i | ||||
\(378\) | −9.17661 | + | 0.113974i | −0.471994 | + | 0.00586217i | ||||
\(379\) | −21.3052 | − | 5.70872i | −1.09438 | − | 0.293237i | −0.333904 | − | 0.942607i | \(-0.608366\pi\) |
−0.760473 | + | 0.649370i | \(0.775033\pi\) | |||||||
\(380\) | − | 10.7148i | − | 0.549658i | ||||||
\(381\) | −7.61781 | − | 6.33855i | −0.390272 | − | 0.324734i | ||||
\(382\) | −12.8772 | − | 3.45045i | −0.658857 | − | 0.176540i | ||||
\(383\) | −3.72865 | − | 3.72865i | −0.190525 | − | 0.190525i | 0.605398 | − | 0.795923i | \(-0.293014\pi\) |
−0.795923 | + | 0.605398i | \(0.793014\pi\) | |||||||
\(384\) | −17.6727 | − | 8.15201i | −0.901856 | − | 0.416006i | ||||
\(385\) | 7.12038 | − | 1.90790i | 0.362888 | − | 0.0972356i | ||||
\(386\) | −5.90919 | − | 3.41167i | −0.300770 | − | 0.173650i | ||||
\(387\) | −10.3176 | + | 29.0945i | −0.524471 | + | 1.47896i | ||||
\(388\) | −4.09225 | + | 15.2725i | −0.207752 | + | 0.775343i | ||||
\(389\) | −9.65022 | + | 16.7147i | −0.489286 | + | 0.847468i | −0.999924 | − | 0.0123280i | \(-0.996076\pi\) |
0.510638 | + | 0.859796i | \(0.329409\pi\) | |||||||
\(390\) | −24.6169 | + | 4.48515i | −1.24653 | + | 0.227114i | ||||
\(391\) | −0.553213 | − | 0.958193i | −0.0279772 | − | 0.0484579i | ||||
\(392\) | −1.50234 | + | 0.402551i | −0.0758797 | + | 0.0203319i | ||||
\(393\) | −23.6932 | − | 19.7144i | −1.19516 | − | 0.994459i | ||||
\(394\) | −25.4813 | + | 14.7117i | −1.28373 | + | 0.741163i | ||||
\(395\) | 10.2796 | + | 10.2796i | 0.517221 | + | 0.517221i | ||||
\(396\) | 10.8778 | + | 0.860995i | 0.546630 | + | 0.0432666i | ||||
\(397\) | 9.44277 | − | 2.53018i | 0.473919 | − | 0.126986i | −0.0139507 | − | 0.999903i | \(-0.504441\pi\) |
0.487870 | + | 0.872916i | \(0.337774\pi\) | |||||||
\(398\) | −1.84843 | − | 6.89843i | −0.0926534 | − | 0.345787i | ||||
\(399\) | 2.52796 | + | 6.85706i | 0.126556 | + | 0.343282i | ||||
\(400\) | −0.632871 | − | 0.365388i | −0.0316436 | − | 0.0182694i | ||||
\(401\) | −8.56014 | − | 31.9469i | −0.427473 | − | 1.59535i | −0.758463 | − | 0.651716i | \(-0.774049\pi\) |
0.330990 | − | 0.943634i | \(-0.392617\pi\) | |||||||
\(402\) | 35.1352 | + | 6.04542i | 1.75238 | + | 0.301518i | ||||
\(403\) | −1.93652 | + | 1.36044i | −0.0964647 | + | 0.0677681i | ||||
\(404\) | 14.3392i | 0.713402i | ||||||||
\(405\) | 18.6448 | + | 8.32120i | 0.926470 | + | 0.413484i | ||||
\(406\) | 1.42865 | + | 2.47449i | 0.0709025 | + | 0.122807i | ||||
\(407\) | −14.2559 | − | 24.6920i | −0.706640 | − | 1.22394i | ||||
\(408\) | 2.27064 | − | 1.60397i | 0.112413 | − | 0.0794083i | ||||
\(409\) | 12.4592 | − | 12.4592i | 0.616070 | − | 0.616070i | −0.328451 | − | 0.944521i | \(-0.606527\pi\) |
0.944521 | + | 0.328451i | \(0.106527\pi\) | |||||||
\(410\) | 16.1847 | − | 16.1847i | 0.799306 | − | 0.799306i | ||||
\(411\) | 1.85949 | + | 20.2865i | 0.0917220 | + | 1.00066i | ||||
\(412\) | −4.61628 | − | 7.99563i | −0.227428 | − | 0.393916i | ||||
\(413\) | −5.26134 | − | 9.11291i | −0.258894 | − | 0.448417i | ||||
\(414\) | 3.21977 | − | 4.68031i | 0.158243 | − | 0.230025i | ||||
\(415\) | − | 34.1605i | − | 1.67688i | ||||||
\(416\) | −20.4528 | + | 1.82130i | −1.00278 | + | 0.0892966i | ||||
\(417\) | −8.66027 | − | 23.4909i | −0.424095 | − | 1.15035i | ||||
\(418\) | −6.26730 | − | 23.3899i | −0.306543 | − | 1.14404i | ||||
\(419\) | 4.02077 | + | 2.32140i | 0.196428 | + | 0.113408i | 0.594988 | − | 0.803734i | \(-0.297157\pi\) |
−0.398560 | + | 0.917142i | \(0.630490\pi\) | |||||||
\(420\) | −4.33471 | − | 0.745837i | −0.211512 | − | 0.0363931i | ||||
\(421\) | −0.405001 | − | 1.51148i | −0.0197385 | − | 0.0736652i | 0.955354 | − | 0.295463i | \(-0.0954740\pi\) |
−0.975093 | + | 0.221798i | \(0.928807\pi\) | |||||||
\(422\) | −37.0933 | + | 9.93913i | −1.80567 | + | 0.483829i | ||||
\(423\) | 8.37090 | + | 5.75867i | 0.407007 | + | 0.279996i | ||||
\(424\) | −5.44557 | − | 5.44557i | −0.264460 | − | 0.264460i | ||||
\(425\) | 0.130993 | − | 0.0756288i | 0.00635409 | − | 0.00366853i | ||||
\(426\) | 3.63218 | − | 21.1098i | 0.175980 | − | 1.02277i | ||||
\(427\) | 2.25103 | − | 0.603161i | 0.108935 | − | 0.0291890i | ||||
\(428\) | 8.03135 | + | 13.9107i | 0.388210 | + | 0.672399i | ||||
\(429\) | −18.3420 | + | 8.68039i | −0.885562 | + | 0.419093i | ||||
\(430\) | −20.6146 | + | 35.7056i | −0.994125 | + | 1.72187i | ||||
\(431\) | 2.75336 | − | 10.2757i | 0.132625 | − | 0.494962i | −0.867372 | − | 0.497661i | \(-0.834192\pi\) |
0.999996 | + | 0.00269899i | \(0.000859118\pi\) | |||||||
\(432\) | 22.5950 | + | 12.6737i | 1.08710 | + | 0.609765i | ||||
\(433\) | −0.273654 | − | 0.157994i | −0.0131510 | − | 0.00759272i | 0.493410 | − | 0.869797i | \(-0.335750\pi\) |
−0.506561 | + | 0.862204i | \(0.669084\pi\) | |||||||
\(434\) | −1.11978 | + | 0.300045i | −0.0537513 | + | 0.0144026i | ||||
\(435\) | −0.580245 | − | 6.33029i | −0.0278206 | − | 0.303514i | ||||
\(436\) | 15.3218 | + | 15.3218i | 0.733781 | + | 0.733781i | ||||
\(437\) | −4.36972 | − | 1.17086i | −0.209032 | − | 0.0560099i | ||||
\(438\) | −21.3720 | + | 7.87911i | −1.02119 | + | 0.376478i | ||||
\(439\) | 13.8621i | 0.661603i | 0.943700 | + | 0.330802i | \(0.107319\pi\) | ||||
−0.943700 | + | 0.330802i | \(0.892681\pi\) | |||||||
\(440\) | −11.0746 | − | 2.96743i | −0.527961 | − | 0.141467i | ||||
\(441\) | 2.95001 | − | 0.545388i | 0.140477 | − | 0.0259708i | ||||
\(442\) | 2.76804 | − | 5.96015i | 0.131662 | − | 0.283495i | ||||
\(443\) | −16.2619 | − | 9.38880i | −0.772625 | − | 0.446075i | 0.0611850 | − | 0.998126i | \(-0.480512\pi\) |
−0.833810 | + | 0.552051i | \(0.813845\pi\) | |||||||
\(444\) | 1.55286 | + | 16.9412i | 0.0736955 | + | 0.803994i | ||||
\(445\) | 8.65825 | − | 14.9965i | 0.410440 | − | 0.710904i | ||||
\(446\) | 18.6686 | 0.883986 | ||||||||
\(447\) | −3.30009 | + | 7.15425i | −0.156089 | + | 0.338385i | ||||
\(448\) | −0.0839646 | − | 0.0224983i | −0.00396696 | − | 0.00106294i | ||||
\(449\) | −3.97429 | − | 14.8322i | −0.187558 | − | 0.699977i | −0.994068 | − | 0.108757i | \(-0.965313\pi\) |
0.806510 | − | 0.591220i | \(-0.201354\pi\) | |||||||
\(450\) | 0.639837 | + | 0.440169i | 0.0301622 | + | 0.0207498i | ||||
\(451\) | 9.28106 | − | 16.0753i | 0.437028 | − | 0.756955i | ||||
\(452\) | 12.2526 | 0.576316 | ||||||||
\(453\) | −0.461725 | − | 0.653635i | −0.0216937 | − | 0.0307105i | ||||
\(454\) | 34.5740 | − | 19.9613i | 1.62264 | − | 0.936832i | ||||
\(455\) | 7.68195 | − | 2.80948i | 0.360135 | − | 0.131710i | ||||
\(456\) | 1.92745 | − | 11.2021i | 0.0902612 | − | 0.524587i | ||||
\(457\) | −7.54839 | + | 7.54839i | −0.353099 | + | 0.353099i | −0.861261 | − | 0.508162i | \(-0.830325\pi\) |
0.508162 | + | 0.861261i | \(0.330325\pi\) | |||||||
\(458\) | −3.33948 | + | 1.92805i | −0.156044 | + | 0.0900919i | ||||
\(459\) | −4.61016 | + | 2.73858i | −0.215184 | + | 0.127826i | ||||
\(460\) | 1.92522 | − | 1.92522i | 0.0897636 | − | 0.0897636i | ||||
\(461\) | −7.95467 | + | 29.6872i | −0.370486 | + | 1.38267i | 0.489343 | + | 0.872091i | \(0.337237\pi\) |
−0.859829 | + | 0.510582i | \(0.829430\pi\) | |||||||
\(462\) | −9.89869 | + | 0.907331i | −0.460529 | + | 0.0422129i | ||||
\(463\) | 0.858160 | − | 3.20270i | 0.0398821 | − | 0.148842i | −0.943114 | − | 0.332471i | \(-0.892118\pi\) |
0.982996 | + | 0.183629i | \(0.0587844\pi\) | |||||||
\(464\) | − | 8.06587i | − | 0.374449i | ||||||
\(465\) | 2.54180 | + | 0.437346i | 0.117873 | + | 0.0202814i | ||||
\(466\) | 4.64980 | + | 4.64980i | 0.215398 | + | 0.215398i | ||||
\(467\) | 22.1783 | 1.02629 | 0.513145 | − | 0.858302i | \(-0.328480\pi\) | ||||
0.513145 | + | 0.858302i | \(0.328480\pi\) | |||||||
\(468\) | 12.1073 | − | 0.118992i | 0.559661 | − | 0.00550040i | ||||
\(469\) | −11.6542 | −0.538142 | ||||||||
\(470\) | 9.59552 | + | 9.59552i | 0.442608 | + | 0.442608i | ||||
\(471\) | 0.739904 | − | 0.889233i | 0.0340930 | − | 0.0409737i | ||||
\(472\) | 16.3663i | 0.753321i | ||||||||
\(473\) | −8.65384 | + | 32.2966i | −0.397904 | + | 1.48500i | ||||
\(474\) | −11.3103 | − | 16.0112i | −0.519497 | − | 0.735420i | ||||
\(475\) | 0.160066 | − | 0.597376i | 0.00734435 | − | 0.0274095i | ||||
\(476\) | 0.816815 | − | 0.816815i | 0.0374386 | − | 0.0374386i | ||||
\(477\) | 9.64210 | + | 11.2997i | 0.441481 | + | 0.517376i | ||||
\(478\) | −21.5983 | + | 12.4698i | −0.987884 | + | 0.570355i | ||||
\(479\) | 19.2594 | − | 19.2594i | 0.879983 | − | 0.879983i | −0.113549 | − | 0.993532i | \(-0.536222\pi\) |
0.993532 | + | 0.113549i | \(0.0362220\pi\) | |||||||
\(480\) | 17.2017 | + | 14.3130i | 0.785148 | + | 0.653298i | ||||
\(481\) | −18.1864 | − | 25.8875i | −0.829228 | − | 1.18037i | ||||
\(482\) | 33.7883 | − | 19.5077i | 1.53902 | − | 0.888551i | ||||
\(483\) | −0.777843 | + | 1.68628i | −0.0353931 | + | 0.0767284i | ||||
\(484\) | −0.494249 | −0.0224659 | ||||||||
\(485\) | −16.0221 | + | 27.7511i | −0.727526 | + | 1.26011i | ||||
\(486\) | −22.8749 | − | 15.3215i | −1.03763 | − | 0.694998i | ||||
\(487\) | 9.90918 | + | 36.9816i | 0.449028 | + | 1.67579i | 0.705077 | + | 0.709131i | \(0.250913\pi\) |
−0.256049 | + | 0.966664i | \(0.582421\pi\) | |||||||
\(488\) | −3.50111 | − | 0.938120i | −0.158488 | − | 0.0424667i | ||||
\(489\) | −3.74085 | − | 5.29569i | −0.169167 | − | 0.239480i | ||||
\(490\) | 4.00676 | 0.181007 | ||||||||
\(491\) | 16.5522 | − | 28.6692i | 0.746989 | − | 1.29382i | −0.202271 | − | 0.979330i | \(-0.564832\pi\) |
0.949260 | − | 0.314493i | \(-0.101835\pi\) | |||||||
\(492\) | −9.04615 | + | 6.39015i | −0.407832 | + | 0.288090i | ||||
\(493\) | 1.44582 | + | 0.834745i | 0.0651165 | + | 0.0375950i | ||||
\(494\) | −9.22890 | − | 25.2346i | −0.415228 | − | 1.13536i | ||||
\(495\) | 20.8429 | + | 7.39135i | 0.936819 | + | 0.332216i | ||||
\(496\) | 3.16105 | + | 0.847000i | 0.141935 | + | 0.0380314i | ||||
\(497\) | 7.00205i | 0.314085i | ||||||||
\(498\) | −7.81104 | + | 45.3968i | −0.350021 | + | 2.03428i | ||||
\(499\) | 15.1275 | + | 4.05341i | 0.677201 | + | 0.181456i | 0.580997 | − | 0.813906i | \(-0.302663\pi\) |
0.0962048 | + | 0.995362i | \(0.469330\pi\) | |||||||
\(500\) | −8.71502 | − | 8.71502i | −0.389747 | − | 0.389747i | ||||
\(501\) | 29.4713 | − | 20.8184i | 1.31668 | − | 0.930098i | ||||
\(502\) | −16.1278 | + | 4.32142i | −0.719817 | + | 0.192874i | ||||
\(503\) | −15.3477 | − | 8.86102i | −0.684322 | − | 0.395093i | 0.117160 | − | 0.993113i | \(-0.462621\pi\) |
−0.801481 | + | 0.598020i | \(0.795954\pi\) | |||||||
\(504\) | −4.39768 | − | 1.55951i | −0.195888 | − | 0.0694662i | ||||
\(505\) | −7.52151 | + | 28.0706i | −0.334703 | + | 1.24913i | ||||
\(506\) | 3.07655 | − | 5.32874i | 0.136769 | − | 0.236891i | ||||
\(507\) | −19.4180 | + | 11.3991i | −0.862385 | + | 0.506254i | ||||
\(508\) | 3.20228 | + | 5.54651i | 0.142078 | + | 0.246087i | ||||
\(509\) | −11.0562 | + | 2.96251i | −0.490059 | + | 0.131311i | −0.495382 | − | 0.868675i | \(-0.664972\pi\) |
0.00532371 | + | 0.999986i | \(0.498305\pi\) | |||||||
\(510\) | −6.71960 | + | 2.47729i | −0.297549 | + | 0.109696i | ||||
\(511\) | 6.44842 | − | 3.72300i | 0.285261 | − | 0.164696i | ||||
\(512\) | 9.11104 | + | 9.11104i | 0.402655 | + | 0.402655i | ||||
\(513\) | −5.41106 | + | 21.2464i | −0.238904 | + | 0.938050i | ||||
\(514\) | −30.4982 | + | 8.17198i | −1.34522 | + | 0.360450i | ||||
\(515\) | −4.84286 | − | 18.0738i | −0.213402 | − | 0.796426i | ||||
\(516\) | 12.7604 | − | 15.3357i | 0.561746 | − | 0.675119i | ||||
\(517\) | 9.53063 | + | 5.50251i | 0.419156 | + | 0.242000i | ||||
\(518\) | −4.01102 | − | 14.9693i | −0.176234 | − | 0.657715i | ||||
\(519\) | 1.79650 | − | 2.15908i | 0.0788577 | − | 0.0947730i | ||||
\(520\) | −12.5321 | − | 2.18975i | −0.549570 | − | 0.0960270i | ||||
\(521\) | − | 40.6317i | − | 1.78011i | −0.455854 | − | 0.890055i | \(-0.650666\pi\) | ||
0.455854 | − | 0.890055i | \(-0.349334\pi\) | |||||||
\(522\) | −0.676362 | + | 8.54515i | −0.0296036 | + | 0.374011i | ||||
\(523\) | −5.00835 | − | 8.67472i | −0.219000 | − | 0.379319i | 0.735503 | − | 0.677522i | \(-0.236946\pi\) |
−0.954503 | + | 0.298203i | \(0.903613\pi\) | |||||||
\(524\) | 9.95984 | + | 17.2510i | 0.435098 | + | 0.753611i | ||||
\(525\) | −0.230528 | − | 0.106338i | −0.0100611 | − | 0.00464095i | ||||
\(526\) | −27.2064 | + | 27.2064i | −1.18626 | + | 1.18626i | ||||
\(527\) | −0.478966 | + | 0.478966i | −0.0208641 | + | 0.0208641i | ||||
\(528\) | 25.4801 | + | 11.7534i | 1.10888 | + | 0.511501i | ||||
\(529\) | 10.9252 | + | 18.9231i | 0.475010 | + | 0.822742i | ||||
\(530\) | 9.91965 | + | 17.1813i | 0.430882 | + | 0.746309i | ||||
\(531\) | 2.49087 | − | 31.4696i | 0.108095 | − | 1.36567i | ||||
\(532\) | − | 4.72308i | − | 0.204772i | ||||||
\(533\) | 8.67566 | − | 18.6805i | 0.375784 | − | 0.809141i | ||||
\(534\) | −14.9352 | + | 17.9495i | −0.646310 | + | 0.776750i | ||||
\(535\) | 8.42554 | + | 31.4446i | 0.364268 | + | 1.35947i | ||||
\(536\) | 15.6978 | + | 9.06313i | 0.678042 | + | 0.391468i | ||||
\(537\) | 12.4883 | − | 15.0087i | 0.538910 | − | 0.647675i | ||||
\(538\) | 3.04302 | + | 11.3567i | 0.131194 | + | 0.489623i | ||||
\(539\) | 3.13866 | − | 0.841001i | 0.135192 | − | 0.0362245i | ||||
\(540\) | −9.44559 | − | 9.21384i | −0.406473 | − | 0.396500i | ||||
\(541\) | 23.4033 | + | 23.4033i | 1.00619 | + | 1.00619i | 0.999981 | + | 0.00620765i | \(0.00197597\pi\) |
0.00620765 | + | 0.999981i | \(0.498024\pi\) | |||||||
\(542\) | −44.0419 | + | 25.4276i | −1.89176 | + | 1.09221i | ||||
\(543\) | −29.0721 | + | 10.7179i | −1.24760 | + | 0.459948i | ||||
\(544\) | −5.67679 | + | 1.52109i | −0.243390 | + | 0.0652162i | ||||
\(545\) | 21.9573 | + | 38.0311i | 0.940545 | + | 1.62907i | ||||
\(546\) | −10.8511 | + | 1.97705i | −0.464385 | + | 0.0846100i | ||||
\(547\) | 3.45895 | − | 5.99108i | 0.147894 | − | 0.256160i | −0.782555 | − | 0.622582i | \(-0.786084\pi\) |
0.930449 | + | 0.366422i | \(0.119417\pi\) | |||||||
\(548\) | 3.40749 | − | 12.7169i | 0.145561 | − | 0.543241i | ||||
\(549\) | 6.58925 | + | 2.33669i | 0.281223 | + | 0.0997276i | ||||
\(550\) | 0.728482 | + | 0.420589i | 0.0310626 | + | 0.0179340i | ||||
\(551\) | 6.59348 | − | 1.76672i | 0.280892 | − | 0.0752647i | ||||
\(552\) | 2.35909 | − | 1.66645i | 0.100410 | − | 0.0709289i | ||||
\(553\) | 4.53122 | + | 4.53122i | 0.192687 | + | 0.192687i | ||||
\(554\) | −4.29439 | − | 1.15068i | −0.182451 | − | 0.0488877i | ||||
\(555\) | −5.84646 | + | 33.9789i | −0.248168 | + | 1.44232i | ||||
\(556\) | 16.1803i | 0.686198i | ||||||||
\(557\) | −27.7331 | − | 7.43107i | −1.17509 | − | 0.314865i | −0.382113 | − | 0.924116i | \(-0.624803\pi\) |
−0.792977 | + | 0.609251i | \(0.791470\pi\) | |||||||
\(558\) | −3.27785 | − | 1.16240i | −0.138763 | − | 0.0492082i | ||||
\(559\) | −6.38592 | + | 36.5471i | −0.270096 | + | 1.54578i | ||||
\(560\) | −9.79535 | − | 5.65535i | −0.413929 | − | 0.238982i | ||||
\(561\) | −4.74377 | + | 3.35098i | −0.200282 | + | 0.141478i | ||||
\(562\) | −13.2163 | + | 22.8913i | −0.557496 | + | 0.965611i | ||||
\(563\) | 11.1755 | 0.470993 | 0.235496 | − | 0.971875i | \(-0.424328\pi\) | ||||
0.235496 | + | 0.971875i | \(0.424328\pi\) | |||||||
\(564\) | −3.78856 | − | 5.36324i | −0.159527 | − | 0.225833i | ||||
\(565\) | 23.9859 | + | 6.42701i | 1.00910 | + | 0.270386i | ||||
\(566\) | 10.3819 | + | 38.7457i | 0.436383 | + | 1.62860i | ||||
\(567\) | 8.21863 | + | 3.66798i | 0.345150 | + | 0.154041i | ||||
\(568\) | 5.44527 | − | 9.43149i | 0.228479 | − | 0.395737i | ||||
\(569\) | 12.2194 | 0.512262 | 0.256131 | − | 0.966642i | \(-0.417552\pi\) | ||||
0.256131 | + | 0.966642i | \(0.417552\pi\) | |||||||
\(570\) | −12.2652 | + | 26.5897i | −0.513733 | + | 1.11372i | ||||
\(571\) | 28.7181 | − | 16.5804i | 1.20182 | − | 0.693869i | 0.240857 | − | 0.970561i | \(-0.422571\pi\) |
0.960959 | + | 0.276692i | \(0.0892381\pi\) | |||||||
\(572\) | 13.0627 | − | 1.16322i | 0.546178 | − | 0.0486366i | ||||
\(573\) | 10.0499 | + | 8.36222i | 0.419841 | + | 0.349337i | ||||
\(574\) | 7.13421 | − | 7.13421i | 0.297776 | − | 0.297776i | ||||
\(575\) | 0.136096 | − | 0.0785749i | 0.00567558 | − | 0.00327680i | ||||
\(576\) | −0.169274 | − | 0.198374i | −0.00705309 | − | 0.00826559i | ||||
\(577\) | 16.2028 | − | 16.2028i | 0.674532 | − | 0.674532i | −0.284225 | − | 0.958758i | \(-0.591736\pi\) |
0.958758 | + | 0.284225i | \(0.0917364\pi\) | |||||||
\(578\) | −7.28423 | + | 27.1851i | −0.302984 | + | 1.13075i | ||||
\(579\) | 3.86075 | + | 5.46543i | 0.160447 | + | 0.227136i | ||||
\(580\) | −1.06329 | + | 3.96825i | −0.0441507 | + | 0.164773i | ||||
\(581\) | − | 15.0579i | − | 0.624709i | ||||||
\(582\) | 27.6376 | − | 33.2155i | 1.14562 | − | 1.37683i | ||||
\(583\) | 11.3768 | + | 11.3768i | 0.471177 | + | 0.471177i | ||||
\(584\) | −11.5810 | −0.479227 | ||||||||
\(585\) | 23.7639 | + | 6.11784i | 0.982515 | + | 0.252942i | ||||
\(586\) | 24.1623 | 0.998137 | ||||||||
\(587\) | −27.4608 | − | 27.4608i | −1.13343 | − | 1.13343i | −0.989603 | − | 0.143827i | \(-0.954059\pi\) |
−0.143827 | − | 0.989603i | \(-0.545941\pi\) | |||||||
\(588\) | −1.91074 | − | 0.328764i | −0.0787975 | − | 0.0135580i | ||||
\(589\) | 2.76953i | 0.114117i | ||||||||
\(590\) | 10.9123 | − | 40.7252i | 0.449252 | − | 1.67663i | ||||
\(591\) | 28.7344 | − | 2.63384i | 1.18197 | − | 0.108342i | ||||
\(592\) | −11.3227 | + | 42.2570i | −0.465362 | + | 1.73675i | ||||
\(593\) | 11.7927 | − | 11.7927i | 0.484267 | − | 0.484267i | −0.422224 | − | 0.906491i | \(-0.638751\pi\) |
0.906491 | + | 0.422224i | \(0.138751\pi\) | |||||||
\(594\) | −26.0086 | − | 14.5884i | −1.06714 | − | 0.598570i | ||||
\(595\) | 2.02746 | − | 1.17056i | 0.0831178 | − | 0.0479881i | ||||
\(596\) | 3.60043 | − | 3.60043i | 0.147479 | − | 0.147479i | ||||
\(597\) | −1.18763 | + | 6.90237i | −0.0486065 | + | 0.282495i | ||||
\(598\) | 2.87586 | − | 6.19232i | 0.117603 | − | 0.253223i | ||||
\(599\) | 22.7269 | − | 13.1214i | 0.928594 | − | 0.536124i | 0.0422277 | − | 0.999108i | \(-0.486555\pi\) |
0.886367 | + | 0.462984i | \(0.153221\pi\) | |||||||
\(600\) | 0.227818 | + | 0.322507i | 0.00930061 | + | 0.0131663i | ||||
\(601\) | −7.73394 | −0.315474 | −0.157737 | − | 0.987481i | \(-0.550420\pi\) | ||||
−0.157737 | + | 0.987481i | \(0.550420\pi\) | |||||||
\(602\) | −9.08691 | + | 15.7390i | −0.370355 | + | 0.641473i | ||||
\(603\) | −28.8048 | − | 19.8160i | −1.17302 | − | 0.806968i | ||||
\(604\) | 0.133859 | + | 0.499568i | 0.00544663 | + | 0.0203271i | ||||
\(605\) | −0.967549 | − | 0.259254i | −0.0393365 | − | 0.0105402i | ||||
\(606\) | 16.4140 | − | 35.5839i | 0.666775 | − | 1.44550i | ||||
\(607\) | 1.04889 | 0.0425731 | 0.0212866 | − | 0.999773i | \(-0.493224\pi\) | ||||
0.0212866 | + | 0.999773i | \(0.493224\pi\) | |||||||
\(608\) | −12.0148 | + | 20.8102i | −0.487264 | + | 0.843966i | ||||
\(609\) | −0.255772 | − | 2.79039i | −0.0103644 | − | 0.113072i | ||||
\(610\) | 8.08650 | + | 4.66875i | 0.327413 | + | 0.189032i | ||||
\(611\) | 11.0752 | + | 5.14358i | 0.448054 | + | 0.208087i | ||||
\(612\) | 3.40770 | − | 0.630005i | 0.137748 | − | 0.0254664i | ||||
\(613\) | 41.5827 | + | 11.1421i | 1.67951 | + | 0.450024i | 0.967650 | − | 0.252297i | \(-0.0811859\pi\) |
0.711861 | + | 0.702320i | \(0.247853\pi\) | |||||||
\(614\) | 23.4853i | 0.947789i | ||||||||
\(615\) | −21.0608 | + | 7.76438i | −0.849252 | + | 0.313090i | ||||
\(616\) | −4.88167 | − | 1.30804i | −0.196688 | − | 0.0527025i | ||||
\(617\) | −24.9980 | − | 24.9980i | −1.00638 | − | 1.00638i | −0.999980 | − | 0.00640270i | \(-0.997962\pi\) |
−0.00640270 | − | 0.999980i | \(-0.502038\pi\) | |||||||
\(618\) | 2.30309 | + | 25.1260i | 0.0926441 | + | 1.01072i | ||||
\(619\) | 43.6389 | − | 11.6930i | 1.75400 | − | 0.469982i | 0.768524 | − | 0.639821i | \(-0.220991\pi\) |
0.985472 | + | 0.169839i | \(0.0543247\pi\) | |||||||
\(620\) | −1.44352 | − | 0.833415i | −0.0579730 | − | 0.0334707i | ||||
\(621\) | −4.78975 | + | 2.84526i | −0.192206 | + | 0.114176i | ||||
\(622\) | −2.84349 | + | 10.6120i | −0.114013 | + | 0.425504i | ||||
\(623\) | 3.81655 | − | 6.61046i | 0.152907 | − | 0.264843i | ||||
\(624\) | 29.3184 | + | 10.4825i | 1.17367 | + | 0.419638i | ||||
\(625\) | −12.8557 | − | 22.2667i | −0.514228 | − | 0.890668i | ||||
\(626\) | 44.9616 | − | 12.0474i | 1.79703 | − | 0.481511i | ||||
\(627\) | −4.02679 | + | 23.4032i | −0.160815 | + | 0.934634i | ||||
\(628\) | −0.647448 | + | 0.373804i | −0.0258360 | + | 0.0149164i | ||||
\(629\) | −6.40284 | − | 6.40284i | −0.255298 | − | 0.255298i | ||||
\(630\) | 9.90317 | + | 6.81278i | 0.394552 | + | 0.271428i | ||||
\(631\) | −38.1044 | + | 10.2100i | −1.51691 | + | 0.406455i | −0.918724 | − | 0.394901i | \(-0.870779\pi\) |
−0.598187 | + | 0.801356i | \(0.704112\pi\) | |||||||
\(632\) | −2.57959 | − | 9.62718i | −0.102611 | − | 0.382948i | ||||
\(633\) | 37.1145 | + | 6.38598i | 1.47517 | + | 0.253820i | ||||
\(634\) | −1.14886 | − | 0.663295i | −0.0456271 | − | 0.0263428i | ||||
\(635\) | 3.35945 | + | 12.5377i | 0.133316 | + | 0.497542i | ||||
\(636\) | −3.32070 | − | 9.00735i | −0.131674 | − | 0.357164i | ||||
\(637\) | 3.38620 | − | 1.23842i | 0.134166 | − | 0.0490678i | ||||
\(638\) | 9.28443i | 0.367574i | ||||||||
\(639\) | −11.9057 | + | 17.3064i | −0.470984 | + | 0.684630i | ||||
\(640\) | 12.7456 | + | 22.0761i | 0.503816 | + | 0.872634i | ||||
\(641\) | −9.61677 | − | 16.6567i | −0.379840 | − | 0.657902i | 0.611199 | − | 0.791477i | \(-0.290688\pi\) |
−0.991039 | + | 0.133575i | \(0.957354\pi\) | |||||||
\(642\) | −4.00690 | − | 43.7140i | −0.158140 | − | 1.72525i | ||||
\(643\) | −15.6150 | + | 15.6150i | −0.615795 | + | 0.615795i | −0.944450 | − | 0.328655i | \(-0.893405\pi\) |
0.328655 | + | 0.944450i | \(0.393405\pi\) | |||||||
\(644\) | 0.848634 | − | 0.848634i | 0.0334409 | − | 0.0334409i | ||||
\(645\) | 33.0242 | − | 23.3281i | 1.30033 | − | 0.918544i | ||||
\(646\) | −3.84518 | − | 6.66004i | −0.151286 | − | 0.262036i | ||||
\(647\) | −2.77352 | − | 4.80389i | −0.109038 | − | 0.188860i | 0.806343 | − | 0.591449i | \(-0.201444\pi\) |
−0.915381 | + | 0.402589i | \(0.868111\pi\) | |||||||
\(648\) | −8.21771 | − | 11.3320i | −0.322822 | − | 0.445163i | ||||
\(649\) | − | 34.1922i | − | 1.34216i | ||||||
\(650\) | 0.846541 | + | 0.393154i | 0.0332041 | + | 0.0154208i | ||||
\(651\) | 1.12042 | + | 0.192782i | 0.0439128 | + | 0.00755571i | ||||
\(652\) | 1.08451 | + | 4.04745i | 0.0424727 | + | 0.158510i | ||||
\(653\) | −6.42868 | − | 3.71160i | −0.251574 | − | 0.145246i | 0.368911 | − | 0.929465i | \(-0.379731\pi\) |
−0.620485 | + | 0.784219i | \(0.713064\pi\) | |||||||
\(654\) | −20.4835 | − | 55.5611i | −0.800966 | − | 2.17261i | ||||
\(655\) | 10.4487 | + | 38.9951i | 0.408264 | + | 1.52366i | ||||
\(656\) | −27.5107 | + | 7.37147i | −1.07411 | + | 0.287807i | ||||
\(657\) | 22.2683 | + | 1.76257i | 0.868771 | + | 0.0687646i | ||||
\(658\) | 4.22970 | + | 4.22970i | 0.164891 | + | 0.164891i | ||||
\(659\) | −1.16684 | + | 0.673674i | −0.0454536 | + | 0.0262426i | −0.522555 | − | 0.852606i | \(-0.675021\pi\) |
0.477101 | + | 0.878848i | \(0.341688\pi\) | |||||||
\(660\) | −10.9863 | − | 9.14137i | −0.427642 | − | 0.355828i | ||||
\(661\) | 37.3937 | − | 10.0196i | 1.45445 | − | 0.389718i | 0.556879 | − | 0.830594i | \(-0.311999\pi\) |
0.897568 | + | 0.440876i | \(0.145332\pi\) | |||||||
\(662\) | 6.96119 | + | 12.0571i | 0.270554 | + | 0.468614i | ||||
\(663\) | −4.91320 | + | 4.17051i | −0.190813 | + | 0.161969i | ||||
\(664\) | −11.7101 | + | 20.2825i | −0.454440 | + | 0.787113i | ||||
\(665\) | 2.47745 | − | 9.24597i | 0.0960714 | − | 0.358543i | ||||
\(666\) | 15.5390 | − | 43.8185i | 0.602124 | − | 1.69793i | ||||
\(667\) | 1.50214 | + | 0.867262i | 0.0581632 | + | 0.0335805i | ||||
\(668\) | −22.5247 | + | 6.03547i | −0.871506 | + | 0.233519i | ||||
\(669\) | −16.6245 | − | 7.66851i | −0.642741 | − | 0.296482i | ||||
\(670\) | −33.0188 | − | 33.0188i | −1.27563 | − | 1.27563i | ||||
\(671\) | 7.31444 | + | 1.95990i | 0.282371 | + | 0.0756611i | ||||
\(672\) | 7.58251 | + | 6.30918i | 0.292502 | + | 0.243382i | ||||
\(673\) | 49.6914i | 1.91546i | 0.287661 | + | 0.957732i | \(0.407122\pi\) | ||||
−0.287661 | + | 0.957732i | \(0.592878\pi\) | |||||||
\(674\) | −6.72815 | − | 1.80280i | −0.259159 | − | 0.0694414i | ||||
\(675\) | −0.388970 | − | 0.654799i | −0.0149715 | − | 0.0252032i | ||||
\(676\) | 14.3229 | − | 2.57127i | 0.550881 | − | 0.0988949i | ||||
\(677\) | 37.1614 | + | 21.4552i | 1.42823 | + | 0.824589i | 0.996981 | − | 0.0776449i | \(-0.0247400\pi\) |
0.431248 | + | 0.902233i | \(0.358073\pi\) | |||||||
\(678\) | −30.4059 | − | 14.0256i | −1.16773 | − | 0.538648i | ||||
\(679\) | −7.06253 | + | 12.2327i | −0.271035 | + | 0.469446i | ||||
\(680\) | −3.64122 | −0.139634 | ||||||||
\(681\) | −38.9879 | + | 3.57369i | −1.49402 | + | 0.136944i | ||||
\(682\) | −3.63860 | − | 0.974960i | −0.139329 | − | 0.0373332i | ||||
\(683\) | −12.4932 | − | 46.6253i | −0.478040 | − | 1.78407i | −0.609543 | − | 0.792753i | \(-0.708647\pi\) |
0.131503 | − | 0.991316i | \(-0.458020\pi\) | |||||||
\(684\) | 8.03077 | − | 11.6737i | 0.307064 | − | 0.446353i | ||||
\(685\) | 13.3411 | − | 23.1075i | 0.509738 | − | 0.882892i | ||||
\(686\) | 1.76618 | 0.0674329 | ||||||||
\(687\) | 3.76581 | − | 0.345180i | 0.143675 | − | 0.0131695i | ||||
\(688\) | 44.4297 | − | 25.6515i | 1.69387 | − | 0.977954i | ||||
\(689\) | 13.6937 | + | 11.4543i | 0.521690 | + | 0.436375i | ||||
\(690\) | −6.98136 | + | 2.57379i | −0.265776 | + | 0.0979824i | ||||
\(691\) | −14.9596 | + | 14.9596i | −0.569088 | + | 0.569088i | −0.931873 | − | 0.362785i | \(-0.881826\pi\) |
0.362785 | + | 0.931873i | \(0.381826\pi\) | |||||||
\(692\) | −1.57202 | + | 0.907606i | −0.0597592 | + | 0.0345020i | ||||
\(693\) | 9.18754 | + | 3.25810i | 0.349006 | + | 0.123765i | ||||
\(694\) | −8.43583 | + | 8.43583i | −0.320220 | + | 0.320220i | ||||
\(695\) | −8.48724 | + | 31.6748i | −0.321939 | + | 1.20149i | ||||
\(696\) | −1.82548 | + | 3.95745i | −0.0691948 | + | 0.150007i | ||||
\(697\) | 1.52576 | − | 5.69422i | 0.0577923 | − | 0.215684i | ||||
\(698\) | 25.6367i | 0.970362i | ||||||||
\(699\) | −2.23067 | − | 6.05066i | −0.0843717 | − | 0.228857i | ||||
\(700\) | 0.116015 | + | 0.116015i | 0.00438496 | + | 0.00438496i | ||||
\(701\) | 10.0886 | 0.381042 | 0.190521 | − | 0.981683i | \(-0.438982\pi\) | ||||
0.190521 | + | 0.981683i | \(0.438982\pi\) | |||||||
\(702\) | −30.1815 | − | 13.5639i | −1.13913 | − | 0.511937i | ||||
\(703\) | −37.0233 | −1.39636 | ||||||||
\(704\) | −0.199728 | − | 0.199728i | −0.00752751 | − | 0.00752751i | ||||
\(705\) | −4.60331 | − | 12.4864i | −0.173371 | − | 0.470265i | ||||
\(706\) | 20.2400i | 0.761741i | ||||||||
\(707\) | −3.31548 | + | 12.3735i | −0.124691 | + | 0.465354i | ||||
\(708\) | −8.54544 | + | 18.5256i | −0.321157 | + | 0.696235i | ||||
\(709\) | −0.0665553 | + | 0.248388i | −0.00249954 | + | 0.00932840i | −0.967164 | − | 0.254152i | \(-0.918204\pi\) |
0.964665 | + | 0.263480i | \(0.0848704\pi\) | |||||||
\(710\) | −19.8382 | + | 19.8382i | −0.744515 | + | 0.744515i | ||||
\(711\) | 3.49491 | + | 18.9040i | 0.131069 | + | 0.708955i | ||||
\(712\) | −10.2815 | + | 5.93603i | −0.385315 | + | 0.222462i | ||||
\(713\) | −0.497624 | + | 0.497624i | −0.0186362 | + | 0.0186362i | ||||
\(714\) | −2.96200 | + | 1.09199i | −0.110850 | + | 0.0408665i | ||||
\(715\) | 26.1819 | + | 4.57479i | 0.979146 | + | 0.171087i | ||||
\(716\) | −10.9278 | + | 6.30918i | −0.408392 | + | 0.235785i | ||||
\(717\) | 24.3556 | − | 2.23248i | 0.909578 | − | 0.0833734i | ||||
\(718\) | −10.0909 | −0.376588 | ||||||||
\(719\) | −15.6336 | + | 27.0782i | −0.583034 | + | 1.00984i | 0.412083 | + | 0.911146i | \(0.364801\pi\) |
−0.995117 | + | 0.0986987i | \(0.968532\pi\) | |||||||
\(720\) | −14.5945 | − | 30.6331i | −0.543903 | − | 1.14163i | ||||
\(721\) | −2.13473 | − | 7.96691i | −0.0795014 | − | 0.296703i | ||||
\(722\) | 2.04163 | + | 0.547052i | 0.0759814 | + | 0.0203592i | ||||
\(723\) | −38.1018 | + | 3.49248i | −1.41702 | + | 0.129887i | ||||
\(724\) | 20.0246 | 0.744208 | ||||||||
\(725\) | −0.118562 | + | 0.205355i | −0.00440328 | + | 0.00762670i | ||||
\(726\) | 1.22652 | + | 0.565765i | 0.0455204 | + | 0.0209975i | ||||
\(727\) | −7.95247 | − | 4.59136i | −0.294941 | − | 0.170284i | 0.345227 | − | 0.938519i | \(-0.387802\pi\) |
−0.640168 | + | 0.768235i | \(0.721135\pi\) | |||||||
\(728\) | −5.52415 | − | 0.965242i | −0.204739 | − | 0.0357742i | ||||
\(729\) | 14.0766 | + | 23.0402i | 0.521355 | + | 0.853340i | ||||
\(730\) | 28.8177 | + | 7.72168i | 1.06659 | + | 0.285792i | ||||
\(731\) | 10.6188i | 0.392750i | ||||||||
\(732\) | −3.47320 | − | 2.88994i | −0.128373 | − | 0.106815i | ||||
\(733\) | −20.7831 | − | 5.56883i | −0.767643 | − | 0.205689i | −0.146313 | − | 0.989238i | \(-0.546741\pi\) |
−0.621330 | + | 0.783549i | \(0.713407\pi\) | |||||||
\(734\) | −26.5200 | − | 26.5200i | −0.978871 | − | 0.978871i | ||||
\(735\) | −3.56804 | − | 1.64585i | −0.131609 | − | 0.0607083i | ||||
\(736\) | −5.89793 | + | 1.58035i | −0.217401 | + | 0.0582523i | ||||
\(737\) | −32.7955 | − | 18.9345i | −1.20804 | − | 0.697461i | ||||
\(738\) | 29.7635 | − | 5.50258i | 1.09561 | − | 0.202553i | ||||
\(739\) | 12.0060 | − | 44.8069i | 0.441647 | − | 1.64825i | −0.282994 | − | 0.959122i | \(-0.591328\pi\) |
0.724641 | − | 0.689127i | \(-0.242006\pi\) | |||||||
\(740\) | 11.1411 | − | 19.2970i | 0.409556 | − | 0.709373i | ||||
\(741\) | −2.14722 | + | 26.2625i | −0.0788800 | + | 0.964776i | ||||
\(742\) | 4.37257 | + | 7.57352i | 0.160522 | + | 0.278033i | ||||
\(743\) | −36.3545 | + | 9.74116i | −1.33372 | + | 0.357369i | −0.854100 | − | 0.520109i | \(-0.825891\pi\) |
−0.479618 | + | 0.877478i | \(0.659225\pi\) | |||||||
\(744\) | −1.35925 | − | 1.13099i | −0.0498324 | − | 0.0414640i | ||||
\(745\) | 8.93684 | − | 5.15968i | 0.327420 | − | 0.189036i | ||||
\(746\) | −32.3215 | − | 32.3215i | −1.18337 | − | 1.18337i | ||||
\(747\) | 25.6034 | − | 37.2175i | 0.936779 | − | 1.36172i | ||||
\(748\) | 3.62562 | − | 0.971483i | 0.132566 | − | 0.0355209i | ||||
\(749\) | 3.71397 | + | 13.8607i | 0.135706 | + | 0.506460i | ||||
\(750\) | 11.6510 | + | 31.6031i | 0.425433 | + | 1.15398i | ||||
\(751\) | 31.0725 | + | 17.9397i | 1.13385 | + | 0.654629i | 0.944900 | − | 0.327358i | \(-0.106158\pi\) |
0.188950 | + | 0.981987i | \(0.439492\pi\) | |||||||
\(752\) | −4.37036 | − | 16.3104i | −0.159371 | − | 0.594779i | ||||
\(753\) | 16.1370 | + | 2.77655i | 0.588064 | + | 0.101183i | ||||
\(754\) | 0.913776 | + | 10.2615i | 0.0332778 | + | 0.373702i | ||||
\(755\) | 1.04818i | 0.0381470i | ||||||||
\(756\) | −4.16361 | − | 4.06145i | −0.151429 | − | 0.147714i | ||||
\(757\) | −9.76547 | − | 16.9143i | −0.354932 | − | 0.614761i | 0.632174 | − | 0.774826i | \(-0.282163\pi\) |
−0.987106 | + | 0.160066i | \(0.948829\pi\) | |||||||
\(758\) | −19.4781 | − | 33.7370i | −0.707476 | − | 1.22538i | ||||
\(759\) | −4.92857 | + | 3.48151i | −0.178896 | + | 0.126371i | ||||
\(760\) | −10.5273 | + | 10.5273i | −0.381867 | + | 0.381867i | ||||
\(761\) | 15.3563 | − | 15.3563i | 0.556665 | − | 0.556665i | −0.371692 | − | 0.928356i | \(-0.621222\pi\) |
0.928356 | + | 0.371692i | \(0.121222\pi\) | |||||||
\(762\) | −1.59764 | − | 17.4297i | −0.0578764 | − | 0.631413i | ||||
\(763\) | 9.67874 | + | 16.7641i | 0.350394 | + | 0.606900i | ||||
\(764\) | −4.22465 | − | 7.31731i | −0.152842 | − | 0.264731i | ||||
\(765\) | 7.00143 | + | 0.554174i | 0.253137 | + | 0.0200362i | ||||
\(766\) | − | 9.31323i | − | 0.336501i | ||||||
\(767\) | −3.36521 | − | 37.7905i | −0.121511 | − | 1.36454i | ||||
\(768\) | −11.9943 | − | 32.5343i | −0.432807 | − | 1.17398i | ||||
\(769\) | −0.208170 | − | 0.776902i | −0.00750681 | − | 0.0280158i | 0.962071 | − | 0.272800i | \(-0.0879496\pi\) |
−0.969578 | + | 0.244784i | \(0.921283\pi\) | |||||||
\(770\) | 11.2752 | + | 6.50973i | 0.406330 | + | 0.234594i | ||||
\(771\) | 30.5156 | + | 5.25057i | 1.09899 | + | 0.189095i | ||||
\(772\) | −1.11927 | − | 4.17718i | −0.0402835 | − | 0.150340i | ||||
\(773\) | 16.8688 | − | 4.51999i | 0.606730 | − | 0.162573i | 0.0576420 | − | 0.998337i | \(-0.481642\pi\) |
0.549088 | + | 0.835764i | \(0.314975\pi\) | |||||||
\(774\) | −49.2207 | + | 23.4501i | −1.76920 | + | 0.842896i | ||||
\(775\) | −0.0680292 | − | 0.0680292i | −0.00244368 | − | 0.00244368i | ||||
\(776\) | 19.0259 | − | 10.9846i | 0.682990 | − | 0.394325i | ||||
\(777\) | −2.57712 | + | 14.9779i | −0.0924535 | + | 0.537328i | ||||
\(778\) | −32.9264 | + | 8.82262i | −1.18047 | + | 0.316306i | ||||
\(779\) | −12.0517 | − | 20.8741i | −0.431796 | − | 0.747892i | ||||
\(780\) | −13.0422 | − | 9.02213i | −0.466986 | − | 0.323044i | ||||
\(781\) | −11.3761 | + | 19.7041i | −0.407071 | + | 0.705067i | ||||
\(782\) | 0.505769 | − | 1.88756i | 0.0180863 | − | 0.0674989i | ||||
\(783\) | 4.11239 | − | 7.33167i | 0.146965 | − | 0.262013i | ||||
\(784\) | −4.31779 | − | 2.49287i | −0.154207 | − | 0.0890312i | ||||
\(785\) | −1.46353 | + | 0.392152i | −0.0522356 | + | 0.0139965i | ||||
\(786\) | −4.96904 | − | 54.2106i | −0.177240 | − | 1.93363i | ||||
\(787\) | −31.3406 | − | 31.3406i | −1.11717 | − | 1.11717i | −0.992154 | − | 0.125018i | \(-0.960101\pi\) |
−0.125018 | − | 0.992154i | \(-0.539899\pi\) | |||||||
\(788\) | −18.0126 | − | 4.82647i | −0.641674 | − | 0.171936i | ||||
\(789\) | 35.4030 | − | 13.0519i | 1.26038 | − | 0.464659i | ||||
\(790\) | 25.6758i | 0.913502i | ||||||||
\(791\) | 10.5730 | + | 2.83302i | 0.375932 | + | 0.100731i | ||||
\(792\) | −9.84154 | − | 11.5334i | −0.349704 | − | 0.409822i | ||||
\(793\) | 8.27710 | + | 1.44627i | 0.293929 | + | 0.0513585i | ||||
\(794\) | 14.9527 | + | 8.63295i | 0.530652 | + | 0.306372i | ||||
\(795\) | −1.77592 | − | 19.3748i | −0.0629855 | − | 0.687152i | ||||
\(796\) | 2.26318 | − | 3.91994i | 0.0802162 | − | 0.138938i | ||||
\(797\) | −36.0844 | −1.27817 | −0.639087 | − | 0.769135i | \(-0.720687\pi\) | ||||
−0.639087 | + | 0.769135i | \(0.720687\pi\) | |||||||
\(798\) | −5.40650 | + | 11.7207i | −0.191388 | + | 0.414909i | ||||
\(799\) | 3.37596 | + | 0.904585i | 0.119433 | + | 0.0320019i | ||||
\(800\) | −0.216046 | − | 0.806295i | −0.00763839 | − | 0.0285068i | ||||
\(801\) | 20.6730 | − | 9.84917i | 0.730444 | − | 0.348003i | ||||
\(802\) | 29.2071 | − | 50.5882i | 1.03134 | − | 1.78633i | ||||
\(803\) | 24.1949 | 0.853818 | ||||||||
\(804\) | 13.0367 | + | 18.4552i | 0.459769 | + | 0.650866i | ||||
\(805\) | 2.10644 | − | 1.21615i | 0.0742423 | − | 0.0428638i | ||||
\(806\) | −4.11748 | − | 0.719452i | −0.145032 | − | 0.0253416i | ||||
\(807\) | 1.95517 | − | 11.3632i | 0.0688252 | − | 0.400003i | ||||
\(808\) | 14.0883 | − | 14.0883i | 0.495625 | − | 0.495625i | ||||
\(809\) | −20.7610 | + | 11.9864i | −0.729918 | + | 0.421418i | −0.818392 | − | 0.574660i | \(-0.805134\pi\) |
0.0884745 | + | 0.996078i | \(0.471801\pi\) | |||||||
\(810\) | 12.8929 | + | 33.6772i | 0.453011 | + | 1.18330i | ||||
\(811\) | −3.86178 | + | 3.86178i | −0.135606 | + | 0.135606i | −0.771651 | − | 0.636046i | \(-0.780569\pi\) |
0.636046 | + | 0.771651i | \(0.280569\pi\) | |||||||
\(812\) | −0.468698 | + | 1.74920i | −0.0164481 | + | 0.0613850i | ||||
\(813\) | 49.6644 | − | 4.55232i | 1.74181 | − | 0.159657i | ||||
\(814\) | 13.0333 | − | 48.6410i | 0.456818 | − | 1.70487i | ||||
\(815\) | 8.49222i | 0.297470i | ||||||||
\(816\) | 8.78251 | + | 1.51113i | 0.307449 | + | 0.0529002i | ||||
\(817\) | 30.7006 | + | 30.7006i | 1.07408 | + | 1.07408i | ||||
\(818\) | 31.1201 | 1.08809 | ||||||||
\(819\) | 10.4751 | + | 2.69674i | 0.366029 | + | 0.0942318i | ||||
\(820\) | 14.5065 | 0.506588 | ||||||||
\(821\) | −10.3342 | − | 10.3342i | −0.360665 | − | 0.360665i | 0.503393 | − | 0.864058i | \(-0.332085\pi\) |
−0.864058 | + | 0.503393i | \(0.832085\pi\) | |||||||
\(822\) | −23.0130 | + | 27.6576i | −0.802671 | + | 0.964668i | ||||
\(823\) | 21.1641i | 0.737733i | 0.929482 | + | 0.368866i | \(0.120254\pi\) | ||||
−0.929482 | + | 0.368866i | \(0.879746\pi\) | |||||||
\(824\) | −3.32022 | + | 12.3912i | −0.115665 | + | 0.431669i | ||||
\(825\) | −0.475952 | − | 0.673775i | −0.0165705 | − | 0.0234578i | ||||
\(826\) | 4.81013 | − | 17.9516i | 0.167366 | − | 0.624617i | ||||
\(827\) | 36.9932 | − | 36.9932i | 1.28638 | − | 1.28638i | 0.349408 | − | 0.936971i | \(-0.386383\pi\) |
0.936971 | − | 0.349408i | \(-0.113617\pi\) | |||||||
\(828\) | 3.54045 | − | 0.654547i | 0.123039 | − | 0.0227471i | ||||
\(829\) | 28.2421 | − | 16.3056i | 0.980888 | − | 0.566316i | 0.0783497 | − | 0.996926i | \(-0.475035\pi\) |
0.902538 | + | 0.430610i | \(0.141702\pi\) | |||||||
\(830\) | 42.6622 | − | 42.6622i | 1.48083 | − | 1.48083i | ||||
\(831\) | 3.35151 | + | 2.78869i | 0.116263 | + | 0.0967387i | ||||
\(832\) | −0.240404 | − | 0.201089i | −0.00833451 | − | 0.00697152i | ||||
\(833\) | 0.893703 | − | 0.515980i | 0.0309650 | − | 0.0178776i | ||||
\(834\) | 18.5215 | − | 40.1527i | 0.641349 | − | 1.39038i | ||||
\(835\) | −47.2605 | −1.63552 | ||||||||
\(836\) | 7.67354 | − | 13.2910i | 0.265395 | − | 0.459678i | ||||
\(837\) | 2.44147 | + | 2.38156i | 0.0843894 | + | 0.0823189i | ||||
\(838\) | 2.12231 | + | 7.92057i | 0.0733140 | + | 0.273612i | ||||
\(839\) | 12.8944 | + | 3.45503i | 0.445163 | + | 0.119281i | 0.474435 | − | 0.880290i | \(-0.342652\pi\) |
−0.0292723 | + | 0.999571i | \(0.509319\pi\) | |||||||
\(840\) | 3.52608 | + | 4.99165i | 0.121661 | + | 0.172228i | ||||
\(841\) | 26.3828 | 0.909751 | ||||||||
\(842\) | 1.38186 | − | 2.39345i | 0.0476220 | − | 0.0824836i | ||||
\(843\) | 21.1722 | − | 14.9560i | 0.729210 | − | 0.515111i | ||||
\(844\) | −21.0778 | − | 12.1693i | −0.725526 | − | 0.418883i | ||||
\(845\) | 29.3875 | + | 2.47940i | 1.01096 | + | 0.0852941i | ||||
\(846\) | 3.26234 | + | 17.6461i | 0.112162 | + | 0.606684i | ||||
\(847\) | −0.426495 | − | 0.114279i | −0.0146545 | − | 0.00392667i | ||||
\(848\) | − | 24.6867i | − | 0.847746i | ||||||
\(849\) | 6.67045 | − | 38.7678i | 0.228929 | − | 1.33051i | ||||
\(850\) | 0.258044 | + | 0.0691428i | 0.00885085 | + | 0.00237158i | ||||
\(851\) | −6.65226 | − | 6.65226i | −0.228037 | − | 0.228037i | ||||
\(852\) | 11.0882 | − | 7.83265i | 0.379876 | − | 0.268342i | ||||
\(853\) | 13.7320 | − | 3.67949i | 0.470176 | − | 0.125983i | −0.0159485 | − | 0.999873i | \(-0.505077\pi\) |
0.486125 | + | 0.873890i | \(0.338410\pi\) | |||||||
\(854\) | 3.56453 | + | 2.05798i | 0.121976 | + | 0.0704226i | ||||
\(855\) | 21.8445 | − | 18.6401i | 0.747065 | − | 0.637476i | ||||
\(856\) | 5.77648 | − | 21.5581i | 0.197436 | − | 0.736842i | ||||
\(857\) | −2.77589 | + | 4.80798i | −0.0948226 | + | 0.164238i | −0.909535 | − | 0.415628i | \(-0.863562\pi\) |
0.814712 | + | 0.579866i | \(0.196895\pi\) | |||||||
\(858\) | −33.7476 | − | 12.0662i | −1.15213 | − | 0.411933i | ||||
\(859\) | 4.14474 | + | 7.17889i | 0.141417 | + | 0.244941i | 0.928030 | − | 0.372505i | \(-0.121501\pi\) |
−0.786614 | + | 0.617445i | \(0.788168\pi\) | |||||||
\(860\) | −25.2401 | + | 6.76306i | −0.860680 | + | 0.230618i | ||||
\(861\) | −9.28357 | + | 3.42253i | −0.316383 | + | 0.116640i | ||||
\(862\) | 16.2716 | − | 9.39443i | 0.554214 | − | 0.319975i | ||||
\(863\) | 3.35062 | + | 3.35062i | 0.114056 | + | 0.114056i | 0.761832 | − | 0.647775i | \(-0.224300\pi\) |
−0.647775 | + | 0.761832i | \(0.724300\pi\) | |||||||
\(864\) | 8.01343 | + | 28.4866i | 0.272623 | + | 0.969134i | ||||
\(865\) | −3.55348 | + | 0.952153i | −0.120822 | + | 0.0323742i | ||||
\(866\) | −0.144445 | − | 0.539074i | −0.00490842 | − | 0.0183185i | ||||
\(867\) | 17.6535 | − | 21.2163i | 0.599543 | − | 0.720545i | ||||
\(868\) | −0.636301 | − | 0.367369i | −0.0215975 | − | 0.0124693i | ||||
\(869\) | 5.38923 | + | 20.1129i | 0.182817 | + | 0.682283i | ||||
\(870\) | 7.18109 | − | 8.63040i | 0.243462 | − | 0.292598i | ||||
\(871\) | −38.1104 | − | 17.6994i | −1.29132 | − | 0.599721i | ||||
\(872\) | − | 30.1074i | − | 1.01957i | ||||||
\(873\) | −38.2553 | + | 18.2259i | −1.29475 | + | 0.616852i | ||||
\(874\) | −3.99497 | − | 6.91949i | −0.135132 | − | 0.234055i | ||||
\(875\) | −5.50526 | − | 9.53538i | −0.186112 | − | 0.322355i | ||||
\(876\) | −13.1090 | − | 6.04687i | −0.442911 | − | 0.204305i | ||||
\(877\) | −31.6938 | + | 31.6938i | −1.07022 | + | 1.07022i | −0.0728827 | + | 0.997341i | \(0.523220\pi\) |
−0.997341 | + | 0.0728827i | \(0.976780\pi\) | |||||||
\(878\) | −17.3121 | + | 17.3121i | −0.584254 | + | 0.584254i | ||||
\(879\) | −21.5167 | − | 9.92516i | −0.725740 | − | 0.334767i | ||||
\(880\) | −18.3764 | − | 31.8288i | −0.619467 | − | 1.07295i | ||||
\(881\) | 9.64233 | + | 16.7010i | 0.324858 | + | 0.562671i | 0.981484 | − | 0.191546i | \(-0.0613500\pi\) |
−0.656625 | + | 0.754217i | \(0.728017\pi\) | |||||||
\(882\) | 4.36531 | + | 3.00307i | 0.146988 | + | 0.101119i | ||||
\(883\) | − | 8.54086i | − | 0.287423i | −0.989620 | − | 0.143711i | \(-0.954096\pi\) | ||
0.989620 | − | 0.143711i | \(-0.0459037\pi\) | |||||||
\(884\) | 3.91157 | − | 1.43056i | 0.131560 | − | 0.0481148i | ||||
\(885\) | −26.4461 | + | 31.7835i | −0.888977 | + | 1.06839i | ||||
\(886\) | −8.58361 | − | 32.0345i | −0.288372 | − | 1.07622i | ||||
\(887\) | −36.8058 | − | 21.2498i | −1.23582 | − | 0.713500i | −0.267581 | − | 0.963535i | \(-0.586224\pi\) |
−0.968237 | + | 0.250035i | \(0.919558\pi\) | |||||||
\(888\) | 15.1191 | − | 18.1705i | 0.507364 | − | 0.609761i | ||||
\(889\) | 1.48084 | + | 5.52659i | 0.0496659 | + | 0.185356i | ||||
\(890\) | 29.5419 | − | 7.91572i | 0.990245 | − | 0.265335i | ||||
\(891\) | 17.1683 | + | 23.6746i | 0.575159 | + | 0.793128i | ||||
\(892\) | 8.36642 | + | 8.36642i | 0.280128 | + | 0.280128i | ||||
\(893\) | 12.3757 | − | 7.14513i | 0.414138 | − | 0.239103i | ||||
\(894\) | −13.0562 | + | 4.81336i | −0.436664 | + | 0.160983i | ||||
\(895\) | −24.7019 | + | 6.61885i | −0.825693 | + | 0.221244i | ||||
\(896\) | 5.61827 | + | 9.73113i | 0.187693 | + | 0.325094i | ||||
\(897\) | −5.10459 | + | 4.33298i | −0.170437 | + | 0.144674i | ||||
\(898\) | 13.5602 | − | 23.4870i | 0.452511 | − | 0.783771i | ||||
\(899\) | 0.274836 | − | 1.02570i | 0.00916630 | − | 0.0342091i | ||||
\(900\) | 0.0894819 | + | 0.484009i | 0.00298273 | + | 0.0161336i | ||||
\(901\) | 4.42514 | + | 2.55485i | 0.147423 | + | 0.0851145i | ||||
\(902\) | 31.6669 | − | 8.48511i | 1.05439 | − | 0.282523i | ||||
\(903\) | 14.5570 | − | 10.2830i | 0.484428 | − | 0.342197i | ||||
\(904\) | −12.0383 | − | 12.0383i | −0.400386 | − | 0.400386i | ||||
\(905\) | 39.2004 | + | 10.5037i | 1.30307 | + | 0.349156i | ||||
\(906\) | 0.239672 | − | 1.39294i | 0.00796258 | − | 0.0462775i | ||||
\(907\) | 1.58959i | 0.0527815i | 0.999652 | + | 0.0263907i | \(0.00840141\pi\) | ||||
−0.999652 | + | 0.0263907i | \(0.991599\pi\) | |||||||
\(908\) | 24.4402 | + | 6.54874i | 0.811077 | + | 0.217328i | ||||
\(909\) | −29.2336 | + | 24.9452i | −0.969617 | + | 0.827382i | ||||
\(910\) | 13.1025 | + | 6.08510i | 0.434343 | + | 0.201719i | ||||
\(911\) | 38.5549 | + | 22.2597i | 1.27738 | + | 0.737497i | 0.976366 | − | 0.216122i | \(-0.0693409\pi\) |
0.301016 | + | 0.953619i | \(0.402674\pi\) | |||||||
\(912\) | 29.7606 | − | 21.0227i | 0.985470 | − | 0.696131i | ||||
\(913\) | 24.4645 | − | 42.3737i | 0.809656 | − | 1.40237i | ||||
\(914\) | −18.8540 | −0.623635 | ||||||||
\(915\) | −5.28329 | − | 7.47923i | −0.174660 | − | 0.247256i | ||||
\(916\) | −2.36066 | − | 0.632538i | −0.0779985 | − | 0.0208996i | ||||
\(917\) | 4.60578 | + | 17.1890i | 0.152096 | + | 0.567631i | ||||
\(918\) | −9.17765 | − | 2.33738i | −0.302908 | − | 0.0771450i | ||||
\(919\) | −20.7586 | + | 35.9550i | −0.684763 | + | 1.18604i | 0.288748 | + | 0.957405i | \(0.406761\pi\) |
−0.973511 | + | 0.228639i | \(0.926572\pi\) | |||||||
\(920\) | −3.78306 | −0.124724 | ||||||||
\(921\) | 9.64704 | − | 20.9138i | 0.317881 | − | 0.689132i | ||||
\(922\) | −47.0100 | + | 27.1413i | −1.54819 | + | 0.893850i | ||||
\(923\) | −10.6341 | + | 22.8974i | −0.350025 | + | 0.753675i | ||||
\(924\) | −4.84276 | − | 4.02951i | −0.159315 | − | 0.132561i | ||||
\(925\) | 0.909419 | − | 0.909419i | 0.0299015 | − | 0.0299015i | ||||
\(926\) | 5.07150 | − | 2.92803i | 0.166660 | − | 0.0962211i | ||||
\(927\) | 8.27010 | − | 23.3209i | 0.271626 | − | 0.765959i | ||||
\(928\) | 6.51482 | − | 6.51482i | 0.213859 | − | 0.213859i | ||||
\(929\) | 0.807683 | − | 3.01431i | 0.0264992 | − | 0.0988965i | −0.951410 | − | 0.307928i | \(-0.900364\pi\) |
0.977909 | + | 0.209031i | \(0.0670311\pi\) | |||||||
\(930\) | 2.62820 | + | 3.72058i | 0.0861819 | + | 0.122002i | ||||
\(931\) | 1.09206 | − | 4.07562i | 0.0357908 | − | 0.133573i | ||||
\(932\) | 4.16765i | 0.136516i | ||||||||
\(933\) | 6.89124 | − | 8.28205i | 0.225609 | − | 0.271142i | ||||
\(934\) | 27.6979 | + | 27.6979i | 0.906304 | + | 0.906304i | ||||
\(935\) | 7.60715 | 0.248781 | ||||||||
\(936\) | −12.0124 | − | 11.7786i | −0.392637 | − | 0.384994i | ||||
\(937\) | −56.1810 | −1.83535 | −0.917677 | − | 0.397327i | \(-0.869938\pi\) | ||||
−0.917677 | + | 0.397327i | \(0.869938\pi\) | |||||||
\(938\) | −14.5547 | − | 14.5547i | −0.475227 | − | 0.475227i | ||||
\(939\) | −44.9872 | − | 7.74057i | −1.46810 | − | 0.252604i | ||||
\(940\) | 8.60053i | 0.280518i | ||||||||
\(941\) | 1.27162 | − | 4.74576i | 0.0414537 | − | 0.154707i | −0.942097 | − | 0.335341i | \(-0.891148\pi\) |
0.983550 | + | 0.180634i | \(0.0578150\pi\) | |||||||
\(942\) | 2.03459 | − | 0.186494i | 0.0662904 | − | 0.00607629i | ||||
\(943\) | 1.58520 | − | 5.91603i | 0.0516211 | − | 0.192653i | ||||
\(944\) | −37.0973 | + | 37.0973i | −1.20741 | + | 1.20741i | ||||
\(945\) | −6.02034 | − | 10.1347i | −0.195842 | − | 0.329683i | ||||
\(946\) | −51.1419 | + | 29.5268i | −1.66277 | + | 0.959999i | ||||
\(947\) | 3.61465 | − | 3.61465i | 0.117460 | − | 0.117460i | −0.645933 | − | 0.763394i | \(-0.723532\pi\) |
0.763394 | + | 0.645933i | \(0.223532\pi\) | |||||||
\(948\) | 2.10676 | − | 12.2442i | 0.0684244 | − | 0.397674i | ||||
\(949\) | 26.7411 | − | 2.38127i | 0.868053 | − | 0.0772992i | ||||
\(950\) | 0.945950 | − | 0.546145i | 0.0306907 | − | 0.0177193i | ||||
\(951\) | 0.750605 | + | 1.06258i | 0.0243400 | + | 0.0344567i | ||||
\(952\) | −1.60505 | −0.0520198 | ||||||||
\(953\) | −3.63567 | + | 6.29716i | −0.117771 | + | 0.203985i | −0.918884 | − | 0.394528i | \(-0.870908\pi\) |
0.801113 | + | 0.598513i | \(0.204241\pi\) | |||||||
\(954\) | −2.07010 | + | 26.1536i | −0.0670220 | + | 0.846755i | ||||
\(955\) | −4.43201 | − | 16.5405i | −0.143416 | − | 0.535237i | ||||
\(956\) | −15.2677 | − | 4.09098i | −0.493794 | − | 0.132312i | ||||
\(957\) | 3.81376 | − | 8.26783i | 0.123281 | − | 0.267261i | ||||
\(958\) | 48.1051 | 1.55420 | ||||||||
\(959\) | 5.88075 | − | 10.1858i | 0.189899 | − | 0.328916i | ||||
\(960\) | 0.0311776 | + | 0.340138i | 0.00100625 | + | 0.0109779i | ||||
\(961\) | −26.4737 | − | 15.2846i | −0.853989 | − | 0.493051i | ||||
\(962\) | 9.61767 | − | 55.0427i | 0.310086 | − | 1.77465i | ||||
\(963\) | −14.3882 | + | 40.5734i | −0.463654 | + | 1.30746i | ||||
\(964\) | 23.8848 | + | 6.39991i | 0.769278 | + | 0.206127i | ||||
\(965\) | − | 8.76441i | − | 0.282136i | ||||||
\(966\) | −3.07738 | + | 1.13452i | −0.0990131 | + | 0.0365027i | ||||
\(967\) | −52.3672 | − | 14.0318i | −1.68402 | − | 0.451231i | −0.715182 | − | 0.698938i | \(-0.753656\pi\) |
−0.968835 | + | 0.247707i | \(0.920323\pi\) | |||||||
\(968\) | 0.485601 | + | 0.485601i | 0.0156078 | + | 0.0156078i | ||||
\(969\) | 0.688405 | + | 7.51028i | 0.0221148 | + | 0.241265i | ||||
\(970\) | −54.6672 | + | 14.6480i | −1.75526 | + | 0.470320i | ||||
\(971\) | 28.6894 | + | 16.5638i | 0.920686 | + | 0.531558i | 0.883854 | − | 0.467763i | \(-0.154940\pi\) |
0.0368323 | + | 0.999321i | \(0.488273\pi\) | |||||||
\(972\) | −3.38507 | − | 17.1178i | −0.108576 | − | 0.549055i | ||||
\(973\) | −3.74117 | + | 13.9622i | −0.119936 | + | 0.447609i | ||||
\(974\) | −33.8100 | + | 58.5607i | −1.08334 | + | 1.87640i | ||||
\(975\) | −0.592353 | − | 0.697840i | −0.0189705 | − | 0.0223488i | ||||
\(976\) | −5.80949 | − | 10.0623i | −0.185957 | − | 0.322087i | ||||
\(977\) | −41.0059 | + | 10.9875i | −1.31189 | + | 0.351521i | −0.845935 | − | 0.533286i | \(-0.820957\pi\) |
−0.465958 | + | 0.884807i | \(0.654290\pi\) | |||||||
\(978\) | 1.94180 | − | 11.2855i | 0.0620920 | − | 0.360871i | ||||
\(979\) | 21.4799 | − | 12.4014i | 0.686500 | − | 0.396351i | ||||
\(980\) | 1.79564 | + | 1.79564i | 0.0573597 | + | 0.0573597i | ||||
\(981\) | −4.58219 | + | 57.8914i | −0.146298 | + | 1.84833i | ||||
\(982\) | 56.4758 | − | 15.1327i | 1.80222 | − | 0.482902i | ||||
\(983\) | 12.4105 | + | 46.3165i | 0.395833 | + | 1.47727i | 0.820358 | + | 0.571851i | \(0.193774\pi\) |
−0.424525 | + | 0.905416i | \(0.639559\pi\) | |||||||
\(984\) | 15.1662 | + | 2.60952i | 0.483481 | + | 0.0831886i | ||||
\(985\) | −32.7301 | − | 18.8967i | −1.04287 | − | 0.602100i | ||||
\(986\) | 0.763157 | + | 2.84814i | 0.0243039 | + | 0.0907033i | ||||
\(987\) | −2.02913 | − | 5.50400i | −0.0645881 | − | 0.175194i | ||||
\(988\) | 7.17300 | − | 15.4449i | 0.228203 | − | 0.491369i | ||||
\(989\) | 11.0324i | 0.350811i | ||||||||
\(990\) | 16.7993 | + | 35.2610i | 0.533917 | + | 1.12067i | ||||
\(991\) | 12.3552 | + | 21.3998i | 0.392474 | + | 0.679786i | 0.992775 | − | 0.119989i | \(-0.0382858\pi\) |
−0.600301 | + | 0.799774i | \(0.704952\pi\) | |||||||
\(992\) | 1.86906 | + | 3.23730i | 0.0593426 | + | 0.102784i | ||||
\(993\) | −1.24627 | − | 13.5964i | −0.0395491 | − | 0.431468i | ||||
\(994\) | −8.74468 | + | 8.74468i | −0.277364 | + | 0.277364i | ||||
\(995\) | 6.48660 | − | 6.48660i | 0.205639 | − | 0.205639i | ||||
\(996\) | −23.8453 | + | 16.8442i | −0.755566 | + | 0.533728i | ||||
\(997\) | −29.7251 | − | 51.4853i | −0.941402 | − | 1.63056i | −0.762800 | − | 0.646635i | \(-0.776176\pi\) |
−0.178602 | − | 0.983921i | \(-0.557158\pi\) | |||||||
\(998\) | 13.8302 | + | 23.9546i | 0.437787 | + | 0.758269i | ||||
\(999\) | −31.8369 | + | 32.6377i | −1.00727 | + | 1.03261i |
(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 | 819.2.ew.a.470.66 | yes | 336 | |
9.5 | odd | 6 | 819.2.fy.a.743.66 | yes | 336 | ||
13.7 | odd | 12 | 819.2.fy.a.722.66 | yes | 336 | ||
117.59 | even | 12 | inner | 819.2.ew.a.176.66 | ✓ | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
819.2.ew.a.176.66 | ✓ | 336 | 117.59 | even | 12 | inner | |
819.2.ew.a.470.66 | yes | 336 | 1.1 | even | 1 | trivial | |
819.2.fy.a.722.66 | yes | 336 | 13.7 | odd | 12 | ||
819.2.fy.a.743.66 | yes | 336 | 9.5 | odd | 6 |