Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,2,Mod(25,882)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(882, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([28, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.bb (of order \(21\), degree \(12\), 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: | \(7.04280545828\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 151.13 | ||
Character | \(\chi\) | \(=\) | 882.151 |
Dual form | 882.2.bb.a.625.13 |
$q$-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 \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(e\left(\frac{5}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.900969 | + | 0.433884i | −0.637081 | + | 0.306802i | ||||
\(3\) | −0.400259 | + | 1.68517i | −0.231090 | + | 0.972932i | ||||
\(4\) | 0.623490 | − | 0.781831i | 0.311745 | − | 0.390916i | ||||
\(5\) | 1.56628 | + | 1.45329i | 0.700461 | + | 0.649933i | 0.947752 | − | 0.319008i | \(-0.103350\pi\) |
−0.247291 | + | 0.968941i | \(0.579540\pi\) | |||||||
\(6\) | −0.370546 | − | 1.69195i | −0.151275 | − | 0.690736i | ||||
\(7\) | −2.55067 | − | 0.702916i | −0.964062 | − | 0.265677i | ||||
\(8\) | −0.222521 | + | 0.974928i | −0.0786730 | + | 0.344689i | ||||
\(9\) | −2.67959 | − | 1.34901i | −0.893195 | − | 0.449669i | ||||
\(10\) | −2.04173 | − | 0.629790i | −0.645651 | − | 0.199157i | ||||
\(11\) | −0.485938 | − | 0.331307i | −0.146516 | − | 0.0998927i | 0.487844 | − | 0.872931i | \(-0.337784\pi\) |
−0.634359 | + | 0.773038i | \(0.718736\pi\) | |||||||
\(12\) | 1.06796 | + | 1.36362i | 0.308294 | + | 0.393643i | ||||
\(13\) | −1.64981 | − | 1.12482i | −0.457575 | − | 0.311969i | 0.312506 | − | 0.949916i | \(-0.398832\pi\) |
−0.770081 | + | 0.637946i | \(0.779784\pi\) | |||||||
\(14\) | 2.60306 | − | 0.473388i | 0.695696 | − | 0.126518i | ||||
\(15\) | −3.07596 | + | 2.05775i | −0.794210 | + | 0.531308i | ||||
\(16\) | −0.222521 | − | 0.974928i | −0.0556302 | − | 0.243732i | ||||
\(17\) | 0.678229 | − | 0.102227i | 0.164495 | − | 0.0247936i | −0.0662785 | − | 0.997801i | \(-0.521113\pi\) |
0.230773 | + | 0.973008i | \(0.425874\pi\) | |||||||
\(18\) | 2.99954 | + | 0.0527861i | 0.706997 | + | 0.0124418i | ||||
\(19\) | −1.58297 | − | 2.74178i | −0.363158 | − | 0.629008i | 0.625321 | − | 0.780368i | \(-0.284968\pi\) |
−0.988479 | + | 0.151360i | \(0.951635\pi\) | |||||||
\(20\) | 2.11279 | − | 0.318452i | 0.472434 | − | 0.0712080i | ||||
\(21\) | 2.20546 | − | 4.01696i | 0.481271 | − | 0.876572i | ||||
\(22\) | 0.581563 | + | 0.0876566i | 0.123990 | + | 0.0186884i | ||||
\(23\) | −2.29450 | − | 5.84628i | −0.478435 | − | 1.21903i | −0.942791 | − | 0.333385i | \(-0.891809\pi\) |
0.464355 | − | 0.885649i | \(-0.346286\pi\) | |||||||
\(24\) | −1.55385 | − | 0.765209i | −0.317179 | − | 0.156198i | ||||
\(25\) | −0.0324858 | − | 0.433493i | −0.00649716 | − | 0.0866986i | ||||
\(26\) | 1.97447 | + | 0.297603i | 0.387225 | + | 0.0583648i | ||||
\(27\) | 3.34583 | − | 3.97560i | 0.643906 | − | 0.765104i | ||||
\(28\) | −2.13988 | + | 1.55593i | −0.404399 | + | 0.294044i | ||||
\(29\) | −5.59129 | + | 0.842751i | −1.03828 | + | 0.156495i | −0.645988 | − | 0.763348i | \(-0.723554\pi\) |
−0.392288 | + | 0.919843i | \(0.628316\pi\) | |||||||
\(30\) | 1.87852 | − | 3.18858i | 0.342970 | − | 0.582152i | ||||
\(31\) | −6.38016 | −1.14591 | −0.572956 | − | 0.819586i | \(-0.694203\pi\) | ||||
−0.572956 | + | 0.819586i | \(0.694203\pi\) | |||||||
\(32\) | 0.623490 | + | 0.781831i | 0.110218 | + | 0.138210i | ||||
\(33\) | 0.752809 | − | 0.686278i | 0.131047 | − | 0.119466i | ||||
\(34\) | −0.566709 | + | 0.386375i | −0.0971897 | + | 0.0662628i | ||||
\(35\) | −2.97351 | − | 4.80783i | −0.502616 | − | 0.812672i | ||||
\(36\) | −2.72539 | + | 1.25389i | −0.454232 | + | 0.208982i | ||||
\(37\) | −3.99397 | + | 10.1765i | −0.656605 | + | 1.67300i | 0.0800999 | + | 0.996787i | \(0.474476\pi\) |
−0.736705 | + | 0.676215i | \(0.763619\pi\) | |||||||
\(38\) | 2.61582 | + | 1.78344i | 0.424342 | + | 0.289312i | ||||
\(39\) | 2.55587 | − | 2.32999i | 0.409266 | − | 0.373097i | ||||
\(40\) | −1.76539 | + | 1.20362i | −0.279132 | + | 0.190309i | ||||
\(41\) | 7.52024 | − | 2.31969i | 1.17446 | − | 0.362274i | 0.354703 | − | 0.934979i | \(-0.384582\pi\) |
0.819762 | + | 0.572705i | \(0.194106\pi\) | |||||||
\(42\) | −0.244158 | + | 4.57607i | −0.0376745 | + | 0.706102i | ||||
\(43\) | 1.73179 | + | 0.534186i | 0.264095 | + | 0.0814627i | 0.423975 | − | 0.905674i | \(-0.360634\pi\) |
−0.159880 | + | 0.987137i | \(0.551111\pi\) | |||||||
\(44\) | −0.562003 | + | 0.173355i | −0.0847252 | + | 0.0261343i | ||||
\(45\) | −2.23647 | − | 6.00715i | −0.333393 | − | 0.895493i | ||||
\(46\) | 4.60387 | + | 4.27177i | 0.678804 | + | 0.629838i | ||||
\(47\) | −1.41673 | + | 0.682263i | −0.206652 | + | 0.0995183i | −0.534347 | − | 0.845265i | \(-0.679442\pi\) |
0.327695 | + | 0.944784i | \(0.393728\pi\) | |||||||
\(48\) | 1.73198 | + | 0.0152386i | 0.249990 | + | 0.00219951i | ||||
\(49\) | 6.01182 | + | 3.58581i | 0.858831 | + | 0.512259i | ||||
\(50\) | 0.217354 | + | 0.376469i | 0.0307385 | + | 0.0532407i | ||||
\(51\) | −0.0991984 | + | 1.18385i | −0.0138906 | + | 0.165772i | ||||
\(52\) | −1.90806 | + | 0.588559i | −0.264601 | + | 0.0816185i | ||||
\(53\) | 0.779432 | + | 1.98596i | 0.107063 | + | 0.272793i | 0.974358 | − | 0.225002i | \(-0.0722387\pi\) |
−0.867295 | + | 0.497794i | \(0.834143\pi\) | |||||||
\(54\) | −1.28955 | + | 5.03359i | −0.175485 | + | 0.684985i | ||||
\(55\) | −0.279628 | − | 1.22513i | −0.0377050 | − | 0.165196i | ||||
\(56\) | 1.25287 | − | 2.33030i | 0.167422 | − | 0.311400i | ||||
\(57\) | 5.25397 | − | 1.57015i | 0.695905 | − | 0.207971i | ||||
\(58\) | 4.67192 | − | 3.18526i | 0.613453 | − | 0.418245i | ||||
\(59\) | −2.63788 | − | 11.5573i | −0.343422 | − | 1.50463i | −0.791796 | − | 0.610785i | \(-0.790854\pi\) |
0.448374 | − | 0.893846i | \(-0.352003\pi\) | |||||||
\(60\) | −0.309019 | + | 3.68787i | −0.0398941 | + | 0.476102i | ||||
\(61\) | −2.42537 | − | 3.04132i | −0.310537 | − | 0.389401i | 0.601932 | − | 0.798547i | \(-0.294398\pi\) |
−0.912469 | + | 0.409147i | \(0.865826\pi\) | |||||||
\(62\) | 5.74833 | − | 2.76825i | 0.730038 | − | 0.351568i | ||||
\(63\) | 5.88649 | + | 5.32440i | 0.741629 | + | 0.670811i | ||||
\(64\) | −0.900969 | − | 0.433884i | −0.112621 | − | 0.0542355i | ||||
\(65\) | −0.949366 | − | 4.15944i | −0.117754 | − | 0.515916i | ||||
\(66\) | −0.380492 | + | 0.944947i | −0.0468354 | + | 0.116315i | ||||
\(67\) | −2.33933 | −0.285794 | −0.142897 | − | 0.989738i | \(-0.545642\pi\) | ||||
−0.142897 | + | 0.989738i | \(0.545642\pi\) | |||||||
\(68\) | 0.342945 | − | 0.593998i | 0.0415882 | − | 0.0720328i | ||||
\(69\) | 10.7704 | − | 1.52658i | 1.29660 | − | 0.183779i | ||||
\(70\) | 4.76508 | + | 3.04155i | 0.569536 | + | 0.363535i | ||||
\(71\) | 7.99592 | − | 10.0266i | 0.948941 | − | 1.18993i | −0.0327523 | − | 0.999463i | \(-0.510427\pi\) |
0.981693 | − | 0.190470i | \(-0.0610013\pi\) | |||||||
\(72\) | 1.91145 | − | 2.31222i | 0.225267 | − | 0.272498i | ||||
\(73\) | −7.43966 | + | 5.07227i | −0.870746 | + | 0.593665i | −0.914142 | − | 0.405393i | \(-0.867135\pi\) |
0.0433962 | + | 0.999058i | \(0.486182\pi\) | |||||||
\(74\) | −0.816962 | − | 10.9016i | −0.0949699 | − | 1.26729i | ||||
\(75\) | 0.743512 | + | 0.118766i | 0.0858533 | + | 0.0137139i | ||||
\(76\) | −3.13058 | − | 0.471859i | −0.359102 | − | 0.0541259i | ||||
\(77\) | 1.00659 | + | 1.18663i | 0.114711 | + | 0.135229i | ||||
\(78\) | −1.29181 | + | 3.20820i | −0.146269 | + | 0.363257i | ||||
\(79\) | −10.1055 | −1.13696 | −0.568480 | − | 0.822697i | \(-0.692468\pi\) | ||||
−0.568480 | + | 0.822697i | \(0.692468\pi\) | |||||||
\(80\) | 1.06833 | − | 1.85040i | 0.119443 | − | 0.206881i | ||||
\(81\) | 5.36035 | + | 7.22957i | 0.595595 | + | 0.803285i | ||||
\(82\) | −5.76903 | + | 5.35288i | −0.637083 | + | 0.591126i | ||||
\(83\) | −2.54756 | + | 1.73690i | −0.279631 | + | 0.190649i | −0.695012 | − | 0.718998i | \(-0.744601\pi\) |
0.415380 | + | 0.909648i | \(0.363648\pi\) | |||||||
\(84\) | −1.76550 | − | 4.22883i | −0.192632 | − | 0.461403i | ||||
\(85\) | 1.21086 | + | 0.825551i | 0.131336 | + | 0.0895435i | ||||
\(86\) | −1.79206 | + | 0.270110i | −0.193243 | + | 0.0291267i | ||||
\(87\) | 0.817787 | − | 9.75958i | 0.0876759 | − | 1.04634i | ||||
\(88\) | 0.431132 | − | 0.400032i | 0.0459588 | − | 0.0426435i | ||||
\(89\) | −0.381881 | − | 5.09584i | −0.0404793 | − | 0.540158i | −0.980173 | − | 0.198142i | \(-0.936509\pi\) |
0.939694 | − | 0.342016i | \(-0.111110\pi\) | |||||||
\(90\) | 4.62139 | + | 4.44188i | 0.487138 | + | 0.468216i | ||||
\(91\) | 3.41747 | + | 4.02873i | 0.358248 | + | 0.422325i | ||||
\(92\) | −6.00140 | − | 1.85119i | −0.625689 | − | 0.193000i | ||||
\(93\) | 2.55372 | − | 10.7516i | 0.264808 | − | 1.11489i | ||||
\(94\) | 0.980411 | − | 1.22940i | 0.101122 | − | 0.126803i | ||||
\(95\) | 1.50525 | − | 6.59492i | 0.154435 | − | 0.676624i | ||||
\(96\) | −1.56708 | + | 0.737750i | −0.159939 | + | 0.0752963i | ||||
\(97\) | 9.06134 | − | 15.6947i | 0.920040 | − | 1.59356i | 0.120690 | − | 0.992690i | \(-0.461489\pi\) |
0.799350 | − | 0.600866i | \(-0.205177\pi\) | |||||||
\(98\) | −6.97229 | − | 0.622273i | −0.704307 | − | 0.0628591i | ||||
\(99\) | 0.855176 | + | 1.54330i | 0.0859484 | + | 0.155107i | ||||
\(100\) | −0.359173 | − | 0.244880i | −0.0359173 | − | 0.0244880i | ||||
\(101\) | −1.88109 | + | 0.580241i | −0.187176 | + | 0.0577361i | −0.386926 | − | 0.922111i | \(-0.626463\pi\) |
0.199750 | + | 0.979847i | \(0.435987\pi\) | |||||||
\(102\) | −0.424277 | − | 1.10965i | −0.0420097 | − | 0.109872i | ||||
\(103\) | 2.65516 | + | 2.46362i | 0.261620 | + | 0.242748i | 0.800066 | − | 0.599912i | \(-0.204798\pi\) |
−0.538446 | + | 0.842660i | \(0.680988\pi\) | |||||||
\(104\) | 1.46374 | − | 1.35815i | 0.143531 | − | 0.133178i | ||||
\(105\) | 9.29218 | − | 3.08649i | 0.906824 | − | 0.301211i | ||||
\(106\) | −1.56392 | − | 1.45111i | −0.151901 | − | 0.140944i | ||||
\(107\) | 0.248572 | + | 3.31697i | 0.0240304 | + | 0.320664i | 0.996245 | + | 0.0865739i | \(0.0275919\pi\) |
−0.972215 | + | 0.234090i | \(0.924789\pi\) | |||||||
\(108\) | −1.02215 | − | 5.09462i | −0.0983569 | − | 0.490230i | ||||
\(109\) | −0.861557 | + | 11.4967i | −0.0825222 | + | 1.10118i | 0.790162 | + | 0.612898i | \(0.209996\pi\) |
−0.872684 | + | 0.488285i | \(0.837623\pi\) | |||||||
\(110\) | 0.783499 | + | 0.982477i | 0.0747037 | + | 0.0936755i | ||||
\(111\) | −15.5504 | − | 10.8037i | −1.47598 | − | 1.02545i | ||||
\(112\) | −0.117715 | + | 2.64313i | −0.0111230 | + | 0.249752i | ||||
\(113\) | −0.0872447 | − | 1.16420i | −0.00820729 | − | 0.109519i | 0.991596 | − | 0.129377i | \(-0.0412976\pi\) |
−0.999803 | + | 0.0198580i | \(0.993679\pi\) | |||||||
\(114\) | −4.05240 | + | 3.69426i | −0.379542 | + | 0.345999i | ||||
\(115\) | 4.90254 | − | 12.4915i | 0.457165 | − | 1.16484i | ||||
\(116\) | −2.82722 | + | 4.89689i | −0.262501 | + | 0.454665i | ||||
\(117\) | 2.90341 | + | 5.23966i | 0.268421 | + | 0.484407i | ||||
\(118\) | 7.39116 | + | 9.26823i | 0.680412 | + | 0.853209i | ||||
\(119\) | −1.80179 | − | 0.215992i | −0.165170 | − | 0.0197999i | ||||
\(120\) | −1.32169 | − | 3.45673i | −0.120653 | − | 0.315555i | ||||
\(121\) | −3.89238 | − | 9.91762i | −0.353853 | − | 0.901602i | ||||
\(122\) | 3.50476 | + | 1.68780i | 0.317306 | + | 0.152807i | ||||
\(123\) | 0.899018 | + | 13.6013i | 0.0810617 | + | 1.22639i | ||||
\(124\) | −3.97797 | + | 4.98821i | −0.357232 | + | 0.447955i | ||||
\(125\) | 7.24002 | − | 9.07870i | 0.647567 | − | 0.812024i | ||||
\(126\) | −7.61372 | − | 2.24306i | −0.678284 | − | 0.199828i | ||||
\(127\) | 0.925787 | + | 1.16090i | 0.0821503 | + | 0.103013i | 0.821208 | − | 0.570629i | \(-0.193300\pi\) |
−0.739058 | + | 0.673642i | \(0.764729\pi\) | |||||||
\(128\) | 1.00000 | 0.0883883 | ||||||||
\(129\) | −1.59336 | + | 2.70454i | −0.140287 | + | 0.238122i | ||||
\(130\) | 2.66006 | + | 3.33562i | 0.233303 | + | 0.292553i | ||||
\(131\) | −3.62070 | − | 1.11684i | −0.316342 | − | 0.0975785i | 0.132518 | − | 0.991181i | \(-0.457694\pi\) |
−0.448860 | + | 0.893602i | \(0.648170\pi\) | |||||||
\(132\) | −0.0671855 | − | 1.01646i | −0.00584774 | − | 0.0884712i | ||||
\(133\) | 2.11039 | + | 8.10607i | 0.182994 | + | 0.702886i | ||||
\(134\) | 2.10766 | − | 1.01500i | 0.182074 | − | 0.0876823i | ||||
\(135\) | 11.0182 | − | 1.36441i | 0.948298 | − | 0.117430i | ||||
\(136\) | −0.0512566 | + | 0.683972i | −0.00439522 | + | 0.0586501i | ||||
\(137\) | 4.36124 | − | 4.04664i | 0.372606 | − | 0.345727i | −0.471537 | − | 0.881846i | \(-0.656301\pi\) |
0.844142 | + | 0.536119i | \(0.180110\pi\) | |||||||
\(138\) | −9.04140 | + | 6.04849i | −0.769655 | + | 0.514882i | ||||
\(139\) | −8.34845 | + | 2.57516i | −0.708106 | + | 0.218422i | −0.627830 | − | 0.778351i | \(-0.716057\pi\) |
−0.0802766 | + | 0.996773i | \(0.525580\pi\) | |||||||
\(140\) | −5.61287 | − | 0.672848i | −0.474374 | − | 0.0568661i | ||||
\(141\) | −0.582668 | − | 2.66052i | −0.0490695 | − | 0.224056i | ||||
\(142\) | −2.85371 | + | 12.5029i | −0.239478 | + | 1.04922i | ||||
\(143\) | 0.429044 | + | 1.09319i | 0.0358785 | + | 0.0914169i | ||||
\(144\) | −0.718922 | + | 2.91258i | −0.0599102 | + | 0.242715i | ||||
\(145\) | −9.98227 | − | 6.80580i | −0.828983 | − | 0.565191i | ||||
\(146\) | 4.50212 | − | 7.79791i | 0.372598 | − | 0.645359i | ||||
\(147\) | −8.44898 | + | 8.69567i | −0.696860 | + | 0.717207i | ||||
\(148\) | 5.46609 | + | 9.46754i | 0.449309 | + | 0.778227i | ||||
\(149\) | −1.60203 | + | 21.3776i | −0.131243 | + | 1.75132i | 0.411489 | + | 0.911415i | \(0.365009\pi\) |
−0.542732 | + | 0.839906i | \(0.682610\pi\) | |||||||
\(150\) | −0.721411 | + | 0.215594i | −0.0589030 | + | 0.0176031i | ||||
\(151\) | 9.38359 | + | 1.41435i | 0.763626 | + | 0.115098i | 0.519297 | − | 0.854594i | \(-0.326194\pi\) |
0.244330 | + | 0.969692i | \(0.421432\pi\) | |||||||
\(152\) | 3.02529 | − | 0.933177i | 0.245383 | − | 0.0756906i | ||||
\(153\) | −1.95528 | − | 0.641012i | −0.158075 | − | 0.0518227i | ||||
\(154\) | −1.42176 | − | 0.632373i | −0.114569 | − | 0.0509581i | ||||
\(155\) | −9.99311 | − | 9.27225i | −0.802666 | − | 0.744765i | ||||
\(156\) | −0.228102 | − | 3.45098i | −0.0182628 | − | 0.276300i | ||||
\(157\) | 2.44105 | + | 10.6950i | 0.194817 | + | 0.853550i | 0.973963 | + | 0.226707i | \(0.0727960\pi\) |
−0.779146 | + | 0.626843i | \(0.784347\pi\) | |||||||
\(158\) | 9.10475 | − | 4.38462i | 0.724335 | − | 0.348821i | ||||
\(159\) | −3.65865 | + | 0.518575i | −0.290150 | + | 0.0411257i | ||||
\(160\) | −0.159672 | + | 2.13068i | −0.0126232 | + | 0.168445i | ||||
\(161\) | 1.74306 | + | 16.5248i | 0.137372 | + | 1.30233i | ||||
\(162\) | −7.96630 | − | 4.18784i | −0.625892 | − | 0.329028i | ||||
\(163\) | −17.6152 | + | 16.3445i | −1.37973 | + | 1.28020i | −0.459845 | + | 0.887999i | \(0.652095\pi\) |
−0.919880 | + | 0.392199i | \(0.871714\pi\) | |||||||
\(164\) | 2.87519 | − | 7.32586i | 0.224515 | − | 0.572054i | ||||
\(165\) | 2.17647 | + | 0.0191494i | 0.169438 | + | 0.00149078i | ||||
\(166\) | 1.54166 | − | 2.67024i | 0.119656 | − | 0.207251i | ||||
\(167\) | −3.93471 | + | 10.0255i | −0.304477 | + | 0.775794i | 0.693966 | + | 0.720008i | \(0.255862\pi\) |
−0.998443 | + | 0.0557864i | \(0.982233\pi\) | |||||||
\(168\) | 3.42548 | + | 3.04402i | 0.264282 | + | 0.234851i | ||||
\(169\) | −3.29278 | − | 8.38987i | −0.253291 | − | 0.645375i | ||||
\(170\) | −1.44914 | − | 0.218423i | −0.111144 | − | 0.0167523i | ||||
\(171\) | 0.543013 | + | 9.48228i | 0.0415252 | + | 0.725128i | ||||
\(172\) | 1.49740 | − | 1.02091i | 0.114175 | − | 0.0778435i | ||||
\(173\) | −5.78373 | + | 7.25256i | −0.439729 | + | 0.551402i | −0.951472 | − | 0.307736i | \(-0.900429\pi\) |
0.511743 | + | 0.859139i | \(0.329000\pi\) | |||||||
\(174\) | 3.49772 | + | 9.14790i | 0.265162 | + | 0.693500i | ||||
\(175\) | −0.221849 | + | 1.12853i | −0.0167702 | + | 0.0853090i | ||||
\(176\) | −0.214869 | + | 0.547477i | −0.0161964 | + | 0.0412676i | ||||
\(177\) | 20.5318 | + | 0.180646i | 1.54327 | + | 0.0135782i | ||||
\(178\) | 2.55507 | + | 4.42551i | 0.191510 | + | 0.331706i | ||||
\(179\) | −18.8686 | + | 2.84399i | −1.41031 | + | 0.212570i | −0.809639 | − | 0.586929i | \(-0.800337\pi\) |
−0.600669 | + | 0.799498i | \(0.705099\pi\) | |||||||
\(180\) | −6.09099 | − | 1.99685i | −0.453996 | − | 0.148837i | ||||
\(181\) | −10.4967 | − | 5.05496i | −0.780216 | − | 0.375732i | 0.000994933 | − | 1.00000i | \(-0.499683\pi\) |
−0.781211 | + | 0.624267i | \(0.785398\pi\) | |||||||
\(182\) | −4.82703 | − | 2.14697i | −0.357803 | − | 0.159144i | ||||
\(183\) | 6.09591 | − | 2.86984i | 0.450623 | − | 0.212145i | ||||
\(184\) | 6.21027 | − | 0.936048i | 0.457828 | − | 0.0690064i | ||||
\(185\) | −21.0451 | + | 10.1348i | −1.54726 | + | 0.745123i | ||||
\(186\) | 2.36414 | + | 10.7949i | 0.173347 | + | 0.791522i | ||||
\(187\) | −0.363445 | − | 0.175026i | −0.0265778 | − | 0.0127992i | ||||
\(188\) | −0.349905 | + | 1.53303i | −0.0255194 | + | 0.111808i | ||||
\(189\) | −11.3286 | + | 7.78860i | −0.824036 | + | 0.566537i | ||||
\(190\) | 1.50525 | + | 6.59492i | 0.109202 | + | 0.478446i | ||||
\(191\) | 2.70868 | − | 11.8675i | 0.195993 | − | 0.858702i | −0.777299 | − | 0.629132i | \(-0.783411\pi\) |
0.973292 | − | 0.229571i | \(-0.0737322\pi\) | |||||||
\(192\) | 1.09179 | − | 1.34462i | 0.0787930 | − | 0.0970395i | ||||
\(193\) | −4.58606 | + | 20.0928i | −0.330112 | + | 1.44631i | 0.488800 | + | 0.872396i | \(0.337435\pi\) |
−0.818912 | + | 0.573919i | \(0.805422\pi\) | |||||||
\(194\) | −1.35431 | + | 18.0720i | −0.0972338 | + | 1.29749i | ||||
\(195\) | 7.38936 | + | 0.0650142i | 0.529163 | + | 0.00465577i | ||||
\(196\) | 6.55181 | − | 2.46451i | 0.467986 | − | 0.176037i | ||||
\(197\) | 10.5890 | 0.754437 | 0.377218 | − | 0.926124i | \(-0.376881\pi\) | ||||
0.377218 | + | 0.926124i | \(0.376881\pi\) | |||||||
\(198\) | −1.44010 | − | 1.01942i | −0.102343 | − | 0.0724468i | ||||
\(199\) | −13.6765 | − | 12.6899i | −0.969502 | − | 0.899566i | 0.0254746 | − | 0.999675i | \(-0.491890\pi\) |
−0.994976 | + | 0.100109i | \(0.968081\pi\) | |||||||
\(200\) | 0.429853 | + | 0.0647900i | 0.0303952 | + | 0.00458134i | ||||
\(201\) | 0.936337 | − | 3.94216i | 0.0660441 | − | 0.278058i | ||||
\(202\) | 1.44305 | − | 1.33895i | 0.101533 | − | 0.0942085i | ||||
\(203\) | 14.8539 | + | 1.78063i | 1.04254 | + | 0.124975i | ||||
\(204\) | 0.863720 | + | 0.815673i | 0.0604725 | + | 0.0571085i | ||||
\(205\) | 15.1500 | + | 7.29584i | 1.05812 | + | 0.509564i | ||||
\(206\) | −3.46114 | − | 1.06762i | −0.241149 | − | 0.0743846i | ||||
\(207\) | −1.73838 | + | 18.7609i | −0.120826 | + | 1.30397i | ||||
\(208\) | −0.729503 | + | 1.85874i | −0.0505819 | + | 0.128881i | ||||
\(209\) | −0.139147 | + | 1.85678i | −0.00962498 | + | 0.128436i | ||||
\(210\) | −7.03279 | + | 6.81256i | −0.485309 | + | 0.470111i | ||||
\(211\) | −1.16091 | − | 15.4913i | −0.0799206 | − | 1.06647i | −0.882621 | − | 0.470085i | \(-0.844223\pi\) |
0.802701 | − | 0.596382i | \(-0.203396\pi\) | |||||||
\(212\) | 2.03865 | + | 0.628842i | 0.140015 | + | 0.0431890i | ||||
\(213\) | 13.6960 | + | 17.4877i | 0.938435 | + | 1.19824i | ||||
\(214\) | −1.66314 | − | 2.88063i | −0.113690 | − | 0.196916i | ||||
\(215\) | 1.93614 | + | 3.35348i | 0.132043 | + | 0.228706i | ||||
\(216\) | 3.13140 | + | 4.14660i | 0.213065 | + | 0.282141i | ||||
\(217\) | 16.2737 | + | 4.48472i | 1.10473 | + | 0.304442i | ||||
\(218\) | −4.21199 | − | 10.7320i | −0.285272 | − | 0.726861i | ||||
\(219\) | −5.56984 | − | 14.5673i | −0.376375 | − | 0.984367i | ||||
\(220\) | −1.13219 | − | 0.545234i | −0.0763322 | − | 0.0367596i | ||||
\(221\) | −1.23394 | − | 0.594232i | −0.0830035 | − | 0.0399724i | ||||
\(222\) | 18.6980 | + | 2.98675i | 1.25493 | + | 0.200457i | ||||
\(223\) | −5.55801 | − | 14.1616i | −0.372192 | − | 0.948330i | −0.987154 | − | 0.159773i | \(-0.948924\pi\) |
0.614962 | − | 0.788557i | \(-0.289171\pi\) | |||||||
\(224\) | −1.04075 | − | 2.43245i | −0.0695383 | − | 0.162525i | ||||
\(225\) | −0.497737 | + | 1.20541i | −0.0331825 | + | 0.0803604i | ||||
\(226\) | 0.583732 | + | 1.01105i | 0.0388293 | + | 0.0672543i | ||||
\(227\) | −3.17540 | − | 5.49995i | −0.210759 | − | 0.365044i | 0.741194 | − | 0.671291i | \(-0.234260\pi\) |
−0.951952 | + | 0.306247i | \(0.900927\pi\) | |||||||
\(228\) | 2.04820 | − | 5.08669i | 0.135646 | − | 0.336874i | ||||
\(229\) | −14.3948 | − | 4.44020i | −0.951233 | − | 0.293416i | −0.219966 | − | 0.975508i | \(-0.570594\pi\) |
−0.731267 | + | 0.682091i | \(0.761071\pi\) | |||||||
\(230\) | 1.00281 | + | 13.3816i | 0.0661233 | + | 0.882354i | ||||
\(231\) | −2.40256 | + | 1.22131i | −0.158077 | + | 0.0803561i | ||||
\(232\) | 0.422557 | − | 5.63863i | 0.0277422 | − | 0.370194i | ||||
\(233\) | −5.41898 | + | 13.8073i | −0.355009 | + | 0.904549i | 0.636113 | + | 0.771596i | \(0.280541\pi\) |
−0.991122 | + | 0.132953i | \(0.957554\pi\) | |||||||
\(234\) | −4.88929 | − | 3.46103i | −0.319623 | − | 0.226255i | ||||
\(235\) | −3.21053 | − | 0.990317i | −0.209432 | − | 0.0646012i | ||||
\(236\) | −10.6805 | − | 5.14348i | −0.695244 | − | 0.334812i | ||||
\(237\) | 4.04482 | − | 17.0295i | 0.262740 | − | 1.10618i | ||||
\(238\) | 1.71708 | − | 0.587167i | 0.111301 | − | 0.0380604i | ||||
\(239\) | −0.189102 | + | 0.175461i | −0.0122320 | + | 0.0113496i | −0.686265 | − | 0.727352i | \(-0.740751\pi\) |
0.674033 | + | 0.738701i | \(0.264561\pi\) | |||||||
\(240\) | 2.69062 | + | 2.54095i | 0.173679 | + | 0.164018i | ||||
\(241\) | −16.6066 | − | 2.50304i | −1.06972 | − | 0.161235i | −0.409504 | − | 0.912308i | \(-0.634298\pi\) |
−0.660219 | + | 0.751074i | \(0.729536\pi\) | |||||||
\(242\) | 7.81001 | + | 7.24663i | 0.502046 | + | 0.465831i | ||||
\(243\) | −14.3286 | + | 6.13940i | −0.919178 | + | 0.393843i | ||||
\(244\) | −3.88999 | −0.249031 | ||||||||
\(245\) | 4.20495 | + | 14.3533i | 0.268644 | + | 0.917000i | ||||
\(246\) | −6.71139 | − | 11.8643i | −0.427903 | − | 0.756442i | ||||
\(247\) | −0.472418 | + | 6.30398i | −0.0300593 | + | 0.401113i | ||||
\(248\) | 1.41972 | − | 6.22020i | 0.0901523 | − | 0.394983i | ||||
\(249\) | −1.90728 | − | 4.98828i | −0.120869 | − | 0.316119i | ||||
\(250\) | −2.58393 | + | 11.3210i | −0.163422 | + | 0.716000i | ||||
\(251\) | 3.94379 | + | 17.2789i | 0.248930 | + | 1.09063i | 0.932620 | + | 0.360861i | \(0.117517\pi\) |
−0.683690 | + | 0.729773i | \(0.739626\pi\) | |||||||
\(252\) | 7.83295 | − | 1.28254i | 0.493429 | − | 0.0807924i | ||||
\(253\) | −0.821930 | + | 3.60111i | −0.0516743 | + | 0.226400i | ||||
\(254\) | −1.33780 | − | 0.644251i | −0.0839411 | − | 0.0404239i | ||||
\(255\) | −1.87585 | + | 1.71007i | −0.117470 | + | 0.107089i | ||||
\(256\) | −0.900969 | + | 0.433884i | −0.0563106 | + | 0.0271177i | ||||
\(257\) | −1.76441 | + | 0.265942i | −0.110061 | + | 0.0165890i | −0.203842 | − | 0.979004i | \(-0.565343\pi\) |
0.0937810 | + | 0.995593i | \(0.470105\pi\) | |||||||
\(258\) | 0.262109 | − | 3.12804i | 0.0163182 | − | 0.194743i | ||||
\(259\) | 17.3405 | − | 23.1494i | 1.07749 | − | 1.43843i | ||||
\(260\) | −3.84390 | − | 1.85113i | −0.238389 | − | 0.114802i | ||||
\(261\) | 16.1192 | + | 5.28447i | 0.997754 | + | 0.327100i | ||||
\(262\) | 3.74671 | − | 0.564726i | 0.231473 | − | 0.0348889i | ||||
\(263\) | 4.42768 | + | 7.66896i | 0.273022 | + | 0.472888i | 0.969634 | − | 0.244560i | \(-0.0786434\pi\) |
−0.696612 | + | 0.717448i | \(0.745310\pi\) | |||||||
\(264\) | 0.501556 | + | 0.886646i | 0.0308687 | + | 0.0545693i | ||||
\(265\) | −1.66538 | + | 4.24331i | −0.102303 | + | 0.260665i | ||||
\(266\) | −5.41849 | − | 6.38766i | −0.332229 | − | 0.391652i | ||||
\(267\) | 8.74021 | + | 1.39613i | 0.534892 | + | 0.0854415i | ||||
\(268\) | −1.45855 | + | 1.82896i | −0.0890949 | + | 0.111721i | ||||
\(269\) | 10.9409 | − | 7.45941i | 0.667081 | − | 0.454808i | −0.181840 | − | 0.983328i | \(-0.558205\pi\) |
0.848921 | + | 0.528520i | \(0.177253\pi\) | |||||||
\(270\) | −9.33508 | + | 6.00992i | −0.568115 | + | 0.365752i | ||||
\(271\) | 3.46309 | + | 0.521977i | 0.210368 | + | 0.0317078i | 0.253380 | − | 0.967367i | \(-0.418458\pi\) |
−0.0430128 | + | 0.999075i | \(0.513696\pi\) | |||||||
\(272\) | −0.250584 | − | 0.638477i | −0.0151939 | − | 0.0387133i | ||||
\(273\) | −8.15695 | + | 4.14647i | −0.493681 | + | 0.250956i | ||||
\(274\) | −2.17357 | + | 5.53816i | −0.131310 | + | 0.334573i | ||||
\(275\) | −0.127833 | + | 0.221413i | −0.00770863 | + | 0.0133517i | ||||
\(276\) | 5.52168 | − | 9.37242i | 0.332366 | − | 0.564153i | ||||
\(277\) | 3.21805 | − | 8.19947i | 0.193354 | − | 0.492658i | −0.801013 | − | 0.598647i | \(-0.795705\pi\) |
0.994367 | + | 0.105988i | \(0.0338006\pi\) | |||||||
\(278\) | 6.40437 | − | 5.94239i | 0.384109 | − | 0.356401i | ||||
\(279\) | 17.0962 | + | 8.60689i | 1.02352 | + | 0.515281i | ||||
\(280\) | 5.34896 | − | 1.82912i | 0.319661 | − | 0.109311i | ||||
\(281\) | −0.143274 | + | 1.91186i | −0.00854703 | + | 0.114052i | −0.999845 | − | 0.0175817i | \(-0.994403\pi\) |
0.991298 | + | 0.131634i | \(0.0420223\pi\) | |||||||
\(282\) | 1.67932 | + | 2.14423i | 0.100002 | + | 0.127687i | ||||
\(283\) | −18.3528 | + | 8.83822i | −1.09096 | + | 0.525378i | −0.890805 | − | 0.454387i | \(-0.849858\pi\) |
−0.200154 | + | 0.979764i | \(0.564144\pi\) | |||||||
\(284\) | −2.85371 | − | 12.5029i | −0.169336 | − | 0.741912i | ||||
\(285\) | 10.5111 | + | 5.17627i | 0.622621 | + | 0.306616i | ||||
\(286\) | −0.860872 | − | 0.798772i | −0.0509044 | − | 0.0472324i | ||||
\(287\) | −20.8122 | + | 0.630656i | −1.22850 | + | 0.0372265i | ||||
\(288\) | −0.615997 | − | 2.93608i | −0.0362980 | − | 0.173010i | ||||
\(289\) | −15.7952 | + | 4.87217i | −0.929129 | + | 0.286598i | ||||
\(290\) | 11.9466 | + | 1.80067i | 0.701531 | + | 0.105739i | ||||
\(291\) | 22.8213 | + | 21.5518i | 1.33781 | + | 1.26339i | ||||
\(292\) | −0.672888 | + | 8.97907i | −0.0393778 | + | 0.525460i | ||||
\(293\) | 6.55628 | + | 11.3558i | 0.383022 | + | 0.663414i | 0.991493 | − | 0.130163i | \(-0.0415500\pi\) |
−0.608471 | + | 0.793576i | \(0.708217\pi\) | |||||||
\(294\) | 3.83936 | − | 11.5004i | 0.223916 | − | 0.670717i | ||||
\(295\) | 12.6645 | − | 21.9355i | 0.737355 | − | 1.27714i | ||||
\(296\) | −9.03258 | − | 6.15831i | −0.525008 | − | 0.357945i | ||||
\(297\) | −2.94301 | + | 0.823396i | −0.170771 | + | 0.0477783i | ||||
\(298\) | −7.83201 | − | 19.9556i | −0.453696 | − | 1.15600i | ||||
\(299\) | −2.79054 | + | 12.2262i | −0.161381 | + | 0.707057i | ||||
\(300\) | 0.556427 | − | 0.507252i | 0.0321253 | − | 0.0292862i | ||||
\(301\) | −4.04173 | − | 2.57984i | −0.232962 | − | 0.148699i | ||||
\(302\) | −9.06799 | + | 2.79710i | −0.521804 | + | 0.160955i | ||||
\(303\) | −0.224878 | − | 3.40221i | −0.0129189 | − | 0.195452i | ||||
\(304\) | −2.32080 | + | 2.15339i | −0.133107 | + | 0.123505i | ||||
\(305\) | 0.621124 | − | 8.28833i | 0.0355655 | − | 0.474588i | ||||
\(306\) | 2.03977 | − | 0.270831i | 0.116606 | − | 0.0154824i | ||||
\(307\) | 7.37965 | − | 3.55385i | 0.421179 | − | 0.202829i | −0.211276 | − | 0.977427i | \(-0.567762\pi\) |
0.632455 | + | 0.774597i | \(0.282047\pi\) | |||||||
\(308\) | 1.55534 | − | 0.0471303i | 0.0886236 | − | 0.00268550i | ||||
\(309\) | −5.21437 | + | 3.48830i | −0.296635 | + | 0.198442i | ||||
\(310\) | 13.0266 | + | 4.01816i | 0.739859 | + | 0.228216i | ||||
\(311\) | −5.72600 | − | 7.18017i | −0.324691 | − | 0.407150i | 0.592517 | − | 0.805558i | \(-0.298134\pi\) |
−0.917208 | + | 0.398408i | \(0.869563\pi\) | |||||||
\(312\) | 1.70284 | + | 3.01026i | 0.0964042 | + | 0.170422i | ||||
\(313\) | −4.56255 | −0.257891 | −0.128945 | − | 0.991652i | \(-0.541159\pi\) | ||||
−0.128945 | + | 0.991652i | \(0.541159\pi\) | |||||||
\(314\) | −6.83968 | − | 8.57668i | −0.385985 | − | 0.484010i | ||||
\(315\) | 1.48198 | + | 16.8943i | 0.0834999 | + | 0.951886i | ||||
\(316\) | −6.30068 | + | 7.90081i | −0.354441 | + | 0.444455i | ||||
\(317\) | −6.31464 | + | 7.91831i | −0.354666 | + | 0.444737i | −0.926875 | − | 0.375371i | \(-0.877515\pi\) |
0.572209 | + | 0.820108i | \(0.306087\pi\) | |||||||
\(318\) | 3.07133 | − | 2.05465i | 0.172232 | − | 0.115219i | ||||
\(319\) | 2.99623 | + | 1.44291i | 0.167756 | + | 0.0807872i | ||||
\(320\) | −0.780607 | − | 1.98896i | −0.0436373 | − | 0.111186i | ||||
\(321\) | −5.68915 | − | 0.908761i | −0.317537 | − | 0.0507221i | ||||
\(322\) | −8.74026 | − | 14.1320i | −0.487076 | − | 0.787546i | ||||
\(323\) | −1.35390 | − | 1.69774i | −0.0753329 | − | 0.0944645i | ||||
\(324\) | 8.99443 | + | 0.316668i | 0.499690 | + | 0.0175926i | ||||
\(325\) | −0.434007 | + | 0.751722i | −0.0240744 | + | 0.0416981i | ||||
\(326\) | 8.77911 | − | 22.3688i | 0.486230 | − | 1.23889i | ||||
\(327\) | −19.0290 | − | 6.05352i | −1.05231 | − | 0.334761i | ||||
\(328\) | 0.588117 | + | 7.84787i | 0.0324733 | + | 0.433326i | ||||
\(329\) | 4.09319 | − | 0.744383i | 0.225665 | − | 0.0410391i | ||||
\(330\) | −1.96924 | + | 0.927083i | −0.108403 | + | 0.0510342i | ||||
\(331\) | 13.6981 | + | 17.1769i | 0.752918 | + | 0.944130i | 0.999689 | − | 0.0249443i | \(-0.00794083\pi\) |
−0.246771 | + | 0.969074i | \(0.579369\pi\) | |||||||
\(332\) | −0.230417 | + | 3.07470i | −0.0126458 | + | 0.168746i | ||||
\(333\) | 24.4303 | − | 21.8808i | 1.33877 | − | 1.19906i | ||||
\(334\) | −0.804840 | − | 10.7398i | −0.0440389 | − | 0.587658i | ||||
\(335\) | −3.66404 | − | 3.39973i | −0.200188 | − | 0.185747i | ||||
\(336\) | −4.40700 | − | 1.25631i | −0.240422 | − | 0.0685372i | ||||
\(337\) | 26.4134 | − | 24.5080i | 1.43883 | − | 1.33504i | 0.588826 | − | 0.808260i | \(-0.299590\pi\) |
0.850003 | − | 0.526778i | \(-0.176600\pi\) | |||||||
\(338\) | 6.60692 | + | 6.13033i | 0.359369 | + | 0.333446i | ||||
\(339\) | 1.99679 | + | 0.318960i | 0.108451 | + | 0.0173235i | ||||
\(340\) | 1.40040 | − | 0.431966i | 0.0759474 | − | 0.0234267i | ||||
\(341\) | 3.10036 | + | 2.11379i | 0.167894 | + | 0.114468i | ||||
\(342\) | −4.60345 | − | 8.30764i | −0.248926 | − | 0.449225i | ||||
\(343\) | −12.8136 | − | 13.3720i | −0.691871 | − | 0.722021i | ||||
\(344\) | −0.906153 | + | 1.56950i | −0.0488565 | + | 0.0846219i | ||||
\(345\) | 19.0880 | + | 13.2614i | 1.02766 | + | 0.713972i | ||||
\(346\) | 2.06419 | − | 9.04380i | 0.110971 | − | 0.486198i | ||||
\(347\) | 16.3284 | − | 20.4751i | 0.876554 | − | 1.09916i | −0.117799 | − | 0.993037i | \(-0.537584\pi\) |
0.994353 | − | 0.106126i | \(-0.0338447\pi\) | |||||||
\(348\) | −7.12046 | − | 6.72437i | −0.381697 | − | 0.360464i | ||||
\(349\) | −24.9567 | − | 7.69811i | −1.33590 | − | 0.412070i | −0.457165 | − | 0.889382i | \(-0.651135\pi\) |
−0.878734 | + | 0.477312i | \(0.841611\pi\) | |||||||
\(350\) | −0.289773 | − | 1.11303i | −0.0154890 | − | 0.0594939i | ||||
\(351\) | −9.99184 | + | 2.79552i | −0.533325 | + | 0.149214i | ||||
\(352\) | −0.0439512 | − | 0.586488i | −0.00234261 | − | 0.0312599i | ||||
\(353\) | −18.7808 | + | 17.4260i | −0.999600 | + | 0.927494i | −0.997368 | − | 0.0725039i | \(-0.976901\pi\) |
−0.00223222 | + | 0.999998i | \(0.500711\pi\) | |||||||
\(354\) | −18.5769 | + | 8.74566i | −0.987351 | + | 0.464827i | ||||
\(355\) | 27.0954 | − | 4.08397i | 1.43807 | − | 0.216755i | ||||
\(356\) | −4.22219 | − | 2.87864i | −0.223776 | − | 0.152568i | ||||
\(357\) | 1.08517 | − | 2.94987i | 0.0574331 | − | 0.156124i | ||||
\(358\) | 15.7661 | − | 10.7491i | 0.833263 | − | 0.568109i | ||||
\(359\) | −19.5236 | + | 18.1152i | −1.03042 | + | 0.956086i | −0.999057 | − | 0.0434224i | \(-0.986174\pi\) |
−0.0313586 | + | 0.999508i | \(0.509983\pi\) | |||||||
\(360\) | 6.35420 | − | 0.843682i | 0.334896 | − | 0.0444659i | ||||
\(361\) | 4.48842 | − | 7.77416i | 0.236232 | − | 0.409167i | ||||
\(362\) | 11.6505 | 0.612336 | ||||||||
\(363\) | 18.2708 | − | 2.58970i | 0.958970 | − | 0.135924i | ||||
\(364\) | 5.28054 | − | 0.160012i | 0.276775 | − | 0.00838692i | ||||
\(365\) | −19.0241 | − | 2.86742i | −0.995766 | − | 0.150088i | ||||
\(366\) | −4.24705 | + | 5.23055i | −0.221997 | + | 0.273405i | ||||
\(367\) | 1.71147 | + | 22.8379i | 0.0893378 | + | 1.19213i | 0.844120 | + | 0.536154i | \(0.180123\pi\) |
−0.754782 | + | 0.655975i | \(0.772258\pi\) | |||||||
\(368\) | −5.18913 | + | 3.53789i | −0.270502 | + | 0.184425i | ||||
\(369\) | −23.2804 | − | 3.92907i | −1.21193 | − | 0.204539i | ||||
\(370\) | 14.5636 | − | 18.2622i | 0.757128 | − | 0.949408i | ||||
\(371\) | −0.592110 | − | 5.61340i | −0.0307408 | − | 0.291433i | ||||
\(372\) | −6.81376 | − | 8.70012i | −0.353277 | − | 0.451080i | ||||
\(373\) | −8.41429 | + | 14.5740i | −0.435676 | + | 0.754612i | −0.997351 | − | 0.0727458i | \(-0.976824\pi\) |
0.561675 | + | 0.827358i | \(0.310157\pi\) | |||||||
\(374\) | 0.403394 | 0.0208590 | ||||||||
\(375\) | 12.4013 | + | 15.8345i | 0.640398 | + | 0.817690i | ||||
\(376\) | −0.349905 | − | 1.53303i | −0.0180449 | − | 0.0790601i | ||||
\(377\) | 10.1725 | + | 4.89882i | 0.523911 | + | 0.252302i | ||||
\(378\) | 6.82740 | − | 11.9326i | 0.351163 | − | 0.613746i | ||||
\(379\) | −5.01175 | + | 2.41353i | −0.257436 | + | 0.123975i | −0.558151 | − | 0.829739i | \(-0.688489\pi\) |
0.300715 | + | 0.953714i | \(0.402775\pi\) | |||||||
\(380\) | −4.21761 | − | 5.28871i | −0.216359 | − | 0.271305i | ||||
\(381\) | −2.32687 | + | 1.09545i | −0.119209 | + | 0.0561214i | ||||
\(382\) | 2.70868 | + | 11.8675i | 0.138588 | + | 0.607194i | ||||
\(383\) | 20.3087 | − | 13.8462i | 1.03772 | − | 0.707509i | 0.0804705 | − | 0.996757i | \(-0.474358\pi\) |
0.957254 | + | 0.289248i | \(0.0934053\pi\) | |||||||
\(384\) | −0.400259 | + | 1.68517i | −0.0204256 | + | 0.0859959i | ||||
\(385\) | −0.147925 | + | 3.32145i | −0.00753896 | + | 0.169277i | ||||
\(386\) | −4.58606 | − | 20.0928i | −0.233424 | − | 1.02270i | ||||
\(387\) | −3.91986 | − | 3.76760i | −0.199258 | − | 0.191518i | ||||
\(388\) | −6.62096 | − | 16.8699i | −0.336128 | − | 0.856441i | ||||
\(389\) | 15.8799 | − | 4.89829i | 0.805141 | − | 0.248353i | 0.135249 | − | 0.990812i | \(-0.456817\pi\) |
0.669892 | + | 0.742458i | \(0.266340\pi\) | |||||||
\(390\) | −6.68579 | + | 3.14755i | −0.338548 | + | 0.159382i | ||||
\(391\) | −2.15384 | − | 3.73056i | −0.108924 | − | 0.188662i | ||||
\(392\) | −4.83366 | + | 5.06317i | −0.244137 | + | 0.255729i | ||||
\(393\) | 3.33128 | − | 5.65446i | 0.168041 | − | 0.285230i | ||||
\(394\) | −9.54038 | + | 4.59440i | −0.480637 | + | 0.231463i | ||||
\(395\) | −15.8280 | − | 14.6863i | −0.796395 | − | 0.738947i | ||||
\(396\) | 1.73979 | + | 0.293627i | 0.0874279 | + | 0.0147553i | ||||
\(397\) | 6.92783 | − | 2.13695i | 0.347698 | − | 0.107251i | −0.115987 | − | 0.993251i | \(-0.537003\pi\) |
0.463685 | + | 0.886000i | \(0.346527\pi\) | |||||||
\(398\) | 17.8281 | + | 5.49923i | 0.893640 | + | 0.275652i | ||||
\(399\) | −14.5048 | + | 0.311827i | −0.726148 | + | 0.0156109i | ||||
\(400\) | −0.415396 | + | 0.128133i | −0.0207698 | + | 0.00640663i | ||||
\(401\) | 27.1009 | − | 18.4771i | 1.35335 | − | 0.922700i | 0.353434 | − | 0.935460i | \(-0.385014\pi\) |
0.999919 | + | 0.0127595i | \(0.00406159\pi\) | |||||||
\(402\) | 0.866828 | + | 3.95802i | 0.0432335 | + | 0.197408i | ||||
\(403\) | 10.5261 | + | 7.17655i | 0.524341 | + | 0.357489i | ||||
\(404\) | −0.719192 | + | 1.83247i | −0.0357812 | + | 0.0911689i | ||||
\(405\) | −2.11088 | + | 19.1137i | −0.104890 | + | 0.949766i | ||||
\(406\) | −14.1555 | + | 4.84058i | −0.702525 | + | 0.240234i | ||||
\(407\) | 5.31235 | − | 3.62190i | 0.263324 | − | 0.179531i | ||||
\(408\) | −1.13209 | − | 0.360142i | −0.0560469 | − | 0.0178297i | ||||
\(409\) | 7.62023 | + | 9.55546i | 0.376796 | + | 0.472487i | 0.933683 | − | 0.358101i | \(-0.116576\pi\) |
−0.556887 | + | 0.830588i | \(0.688004\pi\) | |||||||
\(410\) | −16.8152 | −0.830444 | ||||||||
\(411\) | 5.07364 | + | 8.96912i | 0.250264 | + | 0.442414i | ||||
\(412\) | 3.58160 | − | 0.539839i | 0.176453 | − | 0.0265960i | ||||
\(413\) | −1.39545 | + | 31.3330i | −0.0686659 | + | 1.54180i | ||||
\(414\) | −6.57382 | − | 17.6572i | −0.323086 | − | 0.867806i | ||||
\(415\) | −6.51441 | − | 0.981890i | −0.319780 | − | 0.0481991i | ||||
\(416\) | −0.149219 | − | 1.99119i | −0.00731606 | − | 0.0976261i | ||||
\(417\) | −0.998027 | − | 15.0993i | −0.0488736 | − | 0.739415i | ||||
\(418\) | −0.680262 | − | 1.73328i | −0.0332727 | − | 0.0847774i | ||||
\(419\) | 28.8836 | + | 4.35350i | 1.41105 | + | 0.212682i | 0.809955 | − | 0.586492i | \(-0.199491\pi\) |
0.601099 | + | 0.799174i | \(0.294730\pi\) | |||||||
\(420\) | 3.38047 | − | 9.18932i | 0.164950 | − | 0.448393i | ||||
\(421\) | 3.77848 | − | 0.569515i | 0.184152 | − | 0.0277564i | −0.0563187 | − | 0.998413i | \(-0.517936\pi\) |
0.240471 | + | 0.970656i | \(0.422698\pi\) | |||||||
\(422\) | 7.76738 | + | 13.4535i | 0.378110 | + | 0.654906i | ||||
\(423\) | 4.71664 | + | 0.0830038i | 0.229331 | + | 0.00403579i | ||||
\(424\) | −2.10961 | + | 0.317972i | −0.102452 | + | 0.0154421i | ||||
\(425\) | −0.0663473 | − | 0.290687i | −0.00321832 | − | 0.0141004i | ||||
\(426\) | −19.9273 | − | 9.81339i | −0.965481 | − | 0.475460i | ||||
\(427\) | 4.04853 | + | 9.46223i | 0.195922 | + | 0.457909i | ||||
\(428\) | 2.74829 | + | 1.87375i | 0.132844 | + | 0.0905714i | ||||
\(429\) | −2.01393 | + | 0.285454i | −0.0972336 | + | 0.0137818i | ||||
\(430\) | −3.19942 | − | 2.18133i | −0.154290 | − | 0.105193i | ||||
\(431\) | −10.9811 | − | 3.38723i | −0.528942 | − | 0.163157i | 0.0187701 | − | 0.999824i | \(-0.494025\pi\) |
−0.547712 | + | 0.836667i | \(0.684501\pi\) | |||||||
\(432\) | −4.62044 | − | 2.37729i | −0.222301 | − | 0.114378i | ||||
\(433\) | 6.08244 | − | 26.6489i | 0.292304 | − | 1.28067i | −0.589007 | − | 0.808128i | \(-0.700481\pi\) |
0.881310 | − | 0.472538i | \(-0.156662\pi\) | |||||||
\(434\) | −16.6079 | + | 3.02029i | −0.797206 | + | 0.144979i | ||||
\(435\) | 15.4644 | − | 14.0977i | 0.741462 | − | 0.675934i | ||||
\(436\) | 8.45130 | + | 7.84166i | 0.404744 | + | 0.375547i | ||||
\(437\) | −12.3971 | + | 15.5455i | −0.593035 | + | 0.743642i | ||||
\(438\) | 11.3388 | + | 10.7080i | 0.541787 | + | 0.511649i | ||||
\(439\) | −19.4170 | + | 9.35073i | −0.926722 | + | 0.446286i | −0.835466 | − | 0.549542i | \(-0.814802\pi\) |
−0.0912558 | + | 0.995827i | \(0.529088\pi\) | |||||||
\(440\) | 1.25664 | 0.0599077 | ||||||||
\(441\) | −11.2719 | − | 17.7185i | −0.536757 | − | 0.843737i | ||||
\(442\) | 1.36957 | 0.0651436 | ||||||||
\(443\) | 6.87680 | − | 3.31169i | 0.326726 | − | 0.157343i | −0.263329 | − | 0.964706i | \(-0.584820\pi\) |
0.590055 | + | 0.807363i | \(0.299106\pi\) | |||||||
\(444\) | −18.1422 | + | 5.42181i | −0.860993 | + | 0.257307i | ||||
\(445\) | 6.80763 | − | 8.53650i | 0.322713 | − | 0.404669i | ||||
\(446\) | 11.1521 | + | 10.3476i | 0.528066 | + | 0.489974i | ||||
\(447\) | −35.3836 | − | 11.2563i | −1.67359 | − | 0.532403i | ||||
\(448\) | 1.99309 | + | 1.74000i | 0.0941646 | + | 0.0822072i | ||||
\(449\) | 3.00122 | − | 13.1492i | 0.141636 | − | 0.620550i | −0.853419 | − | 0.521226i | \(-0.825475\pi\) |
0.995055 | − | 0.0993240i | \(-0.0316680\pi\) | |||||||
\(450\) | −0.0745600 | − | 1.30199i | −0.00351479 | − | 0.0613765i | ||||
\(451\) | −4.42290 | − | 1.36428i | −0.208266 | − | 0.0642416i | ||||
\(452\) | −0.964604 | − | 0.657656i | −0.0453711 | − | 0.0309335i | ||||
\(453\) | −6.13929 | + | 15.2468i | −0.288449 | + | 0.716359i | ||||
\(454\) | 5.24727 | + | 3.57753i | 0.246267 | + | 0.167902i | ||||
\(455\) | −0.502221 | + | 11.2767i | −0.0235445 | + | 0.528659i | ||||
\(456\) | 0.361662 | + | 5.47163i | 0.0169364 | + | 0.256232i | ||||
\(457\) | −4.10436 | − | 17.9824i | −0.191994 | − | 0.841181i | −0.975536 | − | 0.219841i | \(-0.929446\pi\) |
0.783542 | − | 0.621339i | \(-0.213411\pi\) | |||||||
\(458\) | 14.8958 | − | 2.24517i | 0.696033 | − | 0.104910i | ||||
\(459\) | 1.86283 | − | 3.03840i | 0.0869495 | − | 0.141820i | ||||
\(460\) | −6.70954 | − | 11.6213i | −0.312834 | − | 0.541845i | ||||
\(461\) | 25.7560 | − | 3.88209i | 1.19958 | − | 0.180807i | 0.481294 | − | 0.876559i | \(-0.340167\pi\) |
0.718282 | + | 0.695752i | \(0.244929\pi\) | |||||||
\(462\) | 1.63473 | − | 2.14279i | 0.0760544 | − | 0.0996917i | ||||
\(463\) | 14.3238 | + | 2.15897i | 0.665686 | + | 0.100336i | 0.473188 | − | 0.880961i | \(-0.343103\pi\) |
0.192498 | + | 0.981297i | \(0.438341\pi\) | |||||||
\(464\) | 2.06580 | + | 5.26357i | 0.0959023 | + | 0.244355i | ||||
\(465\) | 19.6251 | − | 13.1288i | 0.910094 | − | 0.608832i | ||||
\(466\) | −1.10845 | − | 14.7912i | −0.0513478 | − | 0.685189i | ||||
\(467\) | −35.5314 | − | 5.35550i | −1.64420 | − | 0.247823i | −0.739277 | − | 0.673401i | \(-0.764833\pi\) |
−0.904922 | + | 0.425578i | \(0.860071\pi\) | |||||||
\(468\) | 5.90678 | + | 0.996897i | 0.273041 | + | 0.0460816i | ||||
\(469\) | 5.96685 | + | 1.64435i | 0.275523 | + | 0.0759290i | ||||
\(470\) | 3.32227 | − | 0.500752i | 0.153245 | − | 0.0230980i | ||||
\(471\) | −18.9998 | − | 0.167168i | −0.875467 | − | 0.00770267i | ||||
\(472\) | 11.8545 | 0.545648 | ||||||||
\(473\) | −0.664563 | − | 0.833335i | −0.0305566 | − | 0.0383168i | ||||
\(474\) | 3.74456 | + | 17.0980i | 0.171993 | + | 0.785338i | ||||
\(475\) | −1.13712 | + | 0.775275i | −0.0521747 | + | 0.0355721i | ||||
\(476\) | −1.29227 | + | 1.27403i | −0.0592311 | + | 0.0583951i | ||||
\(477\) | 0.590523 | − | 6.37301i | 0.0270382 | − | 0.291800i | ||||
\(478\) | 0.0942453 | − | 0.240133i | 0.00431068 | − | 0.0109834i | ||||
\(479\) | −4.87696 | − | 3.32505i | −0.222834 | − | 0.151926i | 0.446758 | − | 0.894655i | \(-0.352579\pi\) |
−0.669592 | + | 0.742729i | \(0.733531\pi\) | |||||||
\(480\) | −3.52664 | − | 1.12190i | −0.160969 | − | 0.0512074i | ||||
\(481\) | 18.0360 | − | 12.2967i | 0.822371 | − | 0.560683i | ||||
\(482\) | 16.0480 | − | 4.95016i | 0.730967 | − | 0.225474i | ||||
\(483\) | −28.5447 | − | 3.67685i | −1.29883 | − | 0.167302i | ||||
\(484\) | −10.1808 | − | 3.14035i | −0.462762 | − | 0.142743i | ||||
\(485\) | 37.0016 | − | 11.4135i | 1.68016 | − | 0.518260i | ||||
\(486\) | 10.2458 | − | 11.7483i | 0.464759 | − | 0.532915i | ||||
\(487\) | −8.26745 | − | 7.67107i | −0.374634 | − | 0.347609i | 0.470275 | − | 0.882520i | \(-0.344155\pi\) |
−0.844909 | + | 0.534911i | \(0.820345\pi\) | |||||||
\(488\) | 3.50476 | − | 1.68780i | 0.158653 | − | 0.0764033i | ||||
\(489\) | −20.4926 | − | 36.2265i | −0.926706 | − | 1.63822i | ||||
\(490\) | −10.0162 | − | 11.1074i | −0.452486 | − | 0.501783i | ||||
\(491\) | −6.02776 | − | 10.4404i | −0.272029 | − | 0.471168i | 0.697352 | − | 0.716728i | \(-0.254361\pi\) |
−0.969381 | + | 0.245561i | \(0.921028\pi\) | |||||||
\(492\) | 11.1945 | + | 7.77742i | 0.504687 | + | 0.350633i | ||||
\(493\) | −3.70602 | + | 1.14316i | −0.166911 | + | 0.0514851i | ||||
\(494\) | −2.30956 | − | 5.88467i | −0.103912 | − | 0.264764i | ||||
\(495\) | −0.903423 | + | 3.66006i | −0.0406058 | + | 0.164507i | ||||
\(496\) | 1.41972 | + | 6.22020i | 0.0637473 | + | 0.279295i | ||||
\(497\) | −27.4428 | + | 19.9540i | −1.23098 | + | 0.895058i | ||||
\(498\) | 3.88273 | + | 3.66675i | 0.173989 | + | 0.164311i | ||||
\(499\) | 23.4091 | − | 15.9600i | 1.04793 | − | 0.714469i | 0.0884062 | − | 0.996085i | \(-0.471823\pi\) |
0.959527 | + | 0.281616i | \(0.0908703\pi\) | |||||||
\(500\) | −2.58393 | − | 11.3210i | −0.115557 | − | 0.506288i | ||||
\(501\) | −15.3197 | − | 10.6434i | −0.684434 | − | 0.475513i | ||||
\(502\) | −11.0503 | − | 13.8566i | −0.493197 | − | 0.618450i | ||||
\(503\) | −17.1261 | + | 8.24749i | −0.763614 | + | 0.367737i | −0.774805 | − | 0.632200i | \(-0.782152\pi\) |
0.0111908 | + | 0.999937i | \(0.496438\pi\) | |||||||
\(504\) | −6.50077 | + | 4.55412i | −0.289567 | + | 0.202857i | ||||
\(505\) | −3.78958 | − | 1.82496i | −0.168634 | − | 0.0812098i | ||||
\(506\) | −0.821930 | − | 3.60111i | −0.0365392 | − | 0.160089i | ||||
\(507\) | 15.4563 | − | 2.19077i | 0.686439 | − | 0.0972955i | ||||
\(508\) | 1.48485 | 0.0658794 | ||||||||
\(509\) | 21.4265 | − | 37.1117i | 0.949711 | − | 1.64495i | 0.203679 | − | 0.979038i | \(-0.434710\pi\) |
0.746032 | − | 0.665910i | \(-0.231957\pi\) | |||||||
\(510\) | 0.948111 | − | 2.35462i | 0.0419831 | − | 0.104264i | ||||
\(511\) | 22.5415 | − | 7.70823i | 0.997176 | − | 0.340992i | ||||
\(512\) | 0.623490 | − | 0.781831i | 0.0275546 | − | 0.0345524i | ||||
\(513\) | −16.1966 | − | 2.88030i | −0.715097 | − | 0.127168i | ||||
\(514\) | 1.47429 | − | 1.00515i | 0.0650280 | − | 0.0443354i | ||||
\(515\) | 0.578342 | + | 7.71744i | 0.0254848 | + | 0.340071i | ||||
\(516\) | 1.12106 | + | 2.93199i | 0.0493517 | + | 0.129074i | ||||
\(517\) | 0.914483 | + | 0.137836i | 0.0402189 | + | 0.00606203i | ||||
\(518\) | −5.57911 | + | 28.3806i | −0.245132 | + | 1.24697i | ||||
\(519\) | −9.90680 | − | 12.6495i | −0.434860 | − | 0.555250i | ||||
\(520\) | 4.26641 | 0.187095 | ||||||||
\(521\) | −19.5314 | + | 33.8294i | −0.855686 | + | 1.48209i | 0.0203215 | + | 0.999793i | \(0.493531\pi\) |
−0.876007 | + | 0.482298i | \(0.839802\pi\) | |||||||
\(522\) | −16.8157 | + | 2.23272i | −0.736005 | + | 0.0977234i | ||||
\(523\) | −0.413656 | + | 0.383817i | −0.0180879 | + | 0.0167831i | −0.689165 | − | 0.724605i | \(-0.742022\pi\) |
0.671077 | + | 0.741388i | \(0.265832\pi\) | |||||||
\(524\) | −3.13065 | + | 2.13444i | −0.136763 | + | 0.0932434i | ||||
\(525\) | −1.81297 | − | 0.825558i | −0.0791245 | − | 0.0360303i | ||||
\(526\) | −7.31663 | − | 4.98840i | −0.319020 | − | 0.217504i | ||||
\(527\) | −4.32721 | + | 0.652222i | −0.188496 | + | 0.0284112i | ||||
\(528\) | −0.836588 | − | 0.581223i | −0.0364078 | − | 0.0252945i | ||||
\(529\) | −12.0541 | + | 11.1846i | −0.524091 | + | 0.486285i | ||||
\(530\) | −0.340651 | − | 4.54567i | −0.0147969 | − | 0.197451i | ||||
\(531\) | −8.52247 | + | 34.5273i | −0.369844 | + | 1.49836i | ||||
\(532\) | 7.65339 | + | 3.40409i | 0.331817 | + | 0.147586i | ||||
\(533\) | −15.0162 | − | 4.63189i | −0.650424 | − | 0.200629i | ||||
\(534\) | −8.48041 | + | 2.53437i | −0.366983 | + | 0.109673i | ||||
\(535\) | −4.43120 | + | 5.55655i | −0.191577 | + | 0.240230i | ||||
\(536\) | 0.520549 | − | 2.28067i | 0.0224843 | − | 0.0985102i | ||||
\(537\) | 2.75974 | − | 32.9351i | 0.119092 | − | 1.42126i | ||||
\(538\) | −6.62093 | + | 11.4678i | −0.285449 | + | 0.494412i | ||||
\(539\) | −1.73337 | − | 3.73424i | −0.0746614 | − | 0.160845i | ||||
\(540\) | 5.80301 | − | 9.46509i | 0.249722 | − | 0.407313i | ||||
\(541\) | 11.7774 | + | 8.02972i | 0.506352 | + | 0.345225i | 0.789398 | − | 0.613881i | \(-0.210393\pi\) |
−0.283046 | + | 0.959106i | \(0.591345\pi\) | |||||||
\(542\) | −3.34661 | + | 1.03229i | −0.143749 | + | 0.0443408i | ||||
\(543\) | 12.7199 | − | 15.6655i | 0.545862 | − | 0.672269i | ||||
\(544\) | 0.502793 | + | 0.466523i | 0.0215571 | + | 0.0200020i | ||||
\(545\) | −18.0575 | + | 16.7549i | −0.773498 | + | 0.717702i | ||||
\(546\) | 5.55008 | − | 7.27501i | 0.237521 | − | 0.311342i | ||||
\(547\) | 23.6071 | + | 21.9042i | 1.00937 | + | 0.936556i | 0.997990 | − | 0.0633792i | \(-0.0201878\pi\) |
0.0113779 | + | 0.999935i | \(0.496378\pi\) | |||||||
\(548\) | −0.444601 | − | 5.93279i | −0.0189924 | − | 0.253436i | ||||
\(549\) | 2.39622 | + | 11.4213i | 0.102268 | + | 0.487450i | ||||
\(550\) | 0.0191060 | − | 0.254951i | 0.000814681 | − | 0.0108712i | ||||
\(551\) | 11.1615 | + | 13.9960i | 0.475495 | + | 0.596252i | ||||
\(552\) | −0.908321 | + | 10.8400i | −0.0386607 | + | 0.461382i | ||||
\(553\) | 25.7758 | + | 7.10332i | 1.09610 | + | 0.302064i | ||||
\(554\) | 0.658249 | + | 8.78373i | 0.0279663 | + | 0.373185i | ||||
\(555\) | −8.65532 | − | 39.5210i | −0.367398 | − | 1.67757i | ||||
\(556\) | −3.19184 | + | 8.13266i | −0.135364 | + | 0.344902i | ||||
\(557\) | 7.96870 | − | 13.8022i | 0.337644 | − | 0.584817i | −0.646345 | − | 0.763046i | \(-0.723703\pi\) |
0.983989 | + | 0.178228i | \(0.0570365\pi\) | |||||||
\(558\) | −19.1375 | − | 0.336784i | −0.810156 | − | 0.0142572i | ||||
\(559\) | −2.25626 | − | 2.82926i | −0.0954297 | − | 0.119665i | ||||
\(560\) | −4.02562 | + | 3.96880i | −0.170114 | + | 0.167713i | ||||
\(561\) | 0.440421 | − | 0.542411i | 0.0185946 | − | 0.0229006i | ||||
\(562\) | −0.700440 | − | 1.78469i | −0.0295463 | − | 0.0752827i | ||||
\(563\) | −36.5880 | − | 17.6199i | −1.54200 | − | 0.742589i | −0.546512 | − | 0.837452i | \(-0.684045\pi\) |
−0.995490 | + | 0.0948625i | \(0.969759\pi\) | |||||||
\(564\) | −2.44336 | − | 1.20326i | −0.102884 | − | 0.0506663i | ||||
\(565\) | 1.55527 | − | 1.95025i | 0.0654309 | − | 0.0820477i | ||||
\(566\) | 12.7005 | − | 15.9259i | 0.533842 | − | 0.669417i | ||||
\(567\) | −8.59071 | − | 22.2081i | −0.360776 | − | 0.932653i | ||||
\(568\) | 7.99592 | + | 10.0266i | 0.335501 | + | 0.420705i | ||||
\(569\) | 8.54358 | 0.358166 | 0.179083 | − | 0.983834i | \(-0.442687\pi\) | ||||
0.179083 | + | 0.983834i | \(0.442687\pi\) | |||||||
\(570\) | −11.7160 | − | 0.103082i | −0.490731 | − | 0.00431763i | ||||
\(571\) | −19.6234 | − | 24.6069i | −0.821212 | − | 1.02977i | −0.998956 | − | 0.0456908i | \(-0.985451\pi\) |
0.177743 | − | 0.984077i | \(-0.443120\pi\) | |||||||
\(572\) | 1.12219 | + | 0.346151i | 0.0469212 | + | 0.0144733i | ||||
\(573\) | 18.9146 | + | 9.31466i | 0.790167 | + | 0.389126i | ||||
\(574\) | 18.4775 | − | 9.59827i | 0.771236 | − | 0.400624i | ||||
\(575\) | −2.45978 | + | 1.18457i | −0.102580 | + | 0.0494000i | ||||
\(576\) | 1.82891 | + | 2.37804i | 0.0762046 | + | 0.0990851i | ||||
\(577\) | 1.39217 | − | 18.5772i | 0.0579566 | − | 0.773377i | −0.890199 | − | 0.455571i | \(-0.849435\pi\) |
0.948156 | − | 0.317806i | \(-0.102946\pi\) | |||||||
\(578\) | 12.1170 | − | 11.2430i | 0.504002 | − | 0.467645i | ||||
\(579\) | −32.0242 | − | 15.7706i | −1.33088 | − | 0.655405i | ||||
\(580\) | −11.5448 | + | 3.56111i | −0.479373 | + | 0.147867i | ||||
\(581\) | 7.71888 | − | 2.63953i | 0.320233 | − | 0.109506i | ||||
\(582\) | −29.9123 | − | 9.51573i | −1.23990 | − | 0.394440i | ||||
\(583\) | 0.279207 | − | 1.22328i | 0.0115636 | − | 0.0506633i | ||||
\(584\) | −3.28962 | − | 8.38182i | −0.136125 | − | 0.346842i | ||||
\(585\) | −3.06722 | + | 12.4263i | −0.126814 | + | 0.513764i | ||||
\(586\) | −10.8341 | − | 7.38657i | −0.447553 | − | 0.305136i | ||||
\(587\) | −11.8890 | + | 20.5923i | −0.490711 | + | 0.849937i | −0.999943 | − | 0.0106927i | \(-0.996596\pi\) |
0.509232 | + | 0.860630i | \(0.329930\pi\) | |||||||
\(588\) | 1.53070 | + | 12.0273i | 0.0631249 | + | 0.495999i | ||||
\(589\) | 10.0996 | + | 17.4930i | 0.416147 | + | 0.720788i | ||||
\(590\) | −1.89284 | + | 25.2582i | −0.0779269 | + | 1.03986i | ||||
\(591\) | −4.23835 | + | 17.8443i | −0.174343 | + | 0.734016i | ||||
\(592\) | 10.8101 | + | 1.62936i | 0.444291 | + | 0.0669661i | ||||
\(593\) | 39.4359 | − | 12.1644i | 1.61944 | − | 0.499530i | 0.653200 | − | 0.757185i | \(-0.273426\pi\) |
0.966237 | + | 0.257655i | \(0.0829498\pi\) | |||||||
\(594\) | 2.29430 | − | 2.01878i | 0.0941364 | − | 0.0828315i | ||||
\(595\) | −2.50821 | − | 2.95684i | −0.102827 | − | 0.121219i | ||||
\(596\) | 15.7148 | + | 14.5812i | 0.643704 | + | 0.597270i | ||||
\(597\) | 26.8588 | − | 17.9680i | 1.09926 | − | 0.735379i | ||||
\(598\) | −2.79054 | − | 12.2262i | −0.114114 | − | 0.499965i | ||||
\(599\) | 31.0650 | − | 14.9601i | 1.26928 | − | 0.611255i | 0.326669 | − | 0.945139i | \(-0.394074\pi\) |
0.942614 | + | 0.333884i | \(0.108359\pi\) | |||||||
\(600\) | −0.281235 | + | 0.698442i | −0.0114814 | + | 0.0285138i | ||||
\(601\) | 1.64963 | − | 22.0128i | 0.0672899 | − | 0.897921i | −0.856776 | − | 0.515688i | \(-0.827536\pi\) |
0.924066 | − | 0.382233i | \(-0.124845\pi\) | |||||||
\(602\) | 4.76082 | + | 0.570709i | 0.194037 | + | 0.0232603i | ||||
\(603\) | 6.26843 | + | 3.15577i | 0.255270 | + | 0.128513i | ||||
\(604\) | 6.95636 | − | 6.45456i | 0.283050 | − | 0.262632i | ||||
\(605\) | 8.31667 | − | 21.1905i | 0.338121 | − | 0.861518i | ||||
\(606\) | 1.67877 | + | 2.96771i | 0.0681954 | + | 0.120555i | ||||
\(607\) | −4.12675 | + | 7.14774i | −0.167500 | + | 0.290118i | −0.937540 | − | 0.347877i | \(-0.886903\pi\) |
0.770040 | + | 0.637995i | \(0.220236\pi\) | |||||||
\(608\) | 1.15665 | − | 2.94709i | 0.0469082 | − | 0.119520i | ||||
\(609\) | −8.94606 | + | 24.3186i | −0.362513 | + | 0.985440i | ||||
\(610\) | 3.03656 | + | 7.73702i | 0.122947 | + | 0.313263i | ||||
\(611\) | 3.10477 | + | 0.467969i | 0.125605 | + | 0.0189320i | ||||
\(612\) | −1.72026 | + | 1.12903i | −0.0695373 | + | 0.0456384i | ||||
\(613\) | 6.19670 | − | 4.22484i | 0.250282 | − | 0.170640i | −0.431680 | − | 0.902027i | \(-0.642079\pi\) |
0.681963 | + | 0.731387i | \(0.261127\pi\) | |||||||
\(614\) | −5.10688 | + | 6.40382i | −0.206097 | + | 0.258437i | ||||
\(615\) | −18.3586 | + | 22.6100i | −0.740292 | + | 0.911725i | ||||
\(616\) | −1.38086 | + | 0.717299i | −0.0556365 | + | 0.0289008i | ||||
\(617\) | −13.9855 | + | 35.6345i | −0.563036 | + | 1.43459i | 0.311788 | + | 0.950152i | \(0.399072\pi\) |
−0.874824 | + | 0.484440i | \(0.839023\pi\) | |||||||
\(618\) | 3.18447 | − | 5.40528i | 0.128098 | − | 0.217432i | ||||
\(619\) | −7.23868 | − | 12.5378i | −0.290947 | − | 0.503935i | 0.683087 | − | 0.730337i | \(-0.260637\pi\) |
−0.974034 | + | 0.226402i | \(0.927304\pi\) | |||||||
\(620\) | −13.4799 | + | 2.03177i | −0.541368 | + | 0.0815980i | ||||
\(621\) | −30.9195 | − | 10.4387i | −1.24076 | − | 0.418890i | ||||
\(622\) | 8.27430 | + | 3.98469i | 0.331769 | + | 0.159772i | ||||
\(623\) | −2.60790 | + | 13.2662i | −0.104483 | + | 0.531501i | ||||
\(624\) | −2.84030 | − | 1.97331i | −0.113703 | − | 0.0789958i | ||||
\(625\) | 22.3846 | − | 3.37394i | 0.895386 | − | 0.134958i | ||||
\(626\) | 4.11072 | − | 1.97962i | 0.164297 | − | 0.0791214i | ||||
\(627\) | −3.07330 | − | 0.977681i | −0.122736 | − | 0.0390448i | ||||
\(628\) | 9.88362 | + | 4.75970i | 0.394399 | + | 0.189933i | ||||
\(629\) | −1.66852 | + | 7.31027i | −0.0665283 | + | 0.291479i | ||||
\(630\) | −8.66537 | − | 14.5782i | −0.345237 | − | 0.580810i | ||||
\(631\) | 10.8755 | + | 47.6489i | 0.432948 | + | 1.89687i | 0.442205 | + | 0.896914i | \(0.354196\pi\) |
−0.00925620 | + | 0.999957i | \(0.502946\pi\) | |||||||
\(632\) | 2.24869 | − | 9.85215i | 0.0894480 | − | 0.391897i | ||||
\(633\) | 26.5702 | + | 4.24421i | 1.05607 | + | 0.168692i | ||||
\(634\) | 2.25367 | − | 9.87397i | 0.0895046 | − | 0.392145i | ||||
\(635\) | −0.237089 | + | 3.16373i | −0.00940859 | + | 0.125549i | ||||
\(636\) | −1.87569 | + | 3.18378i | −0.0743761 | + | 0.126245i | ||||
\(637\) | −5.88497 | − | 12.6781i | −0.233171 | − | 0.502326i | ||||
\(638\) | −3.32556 | −0.131660 | ||||||||
\(639\) | −34.9517 | + | 16.0805i | −1.38267 | + | 0.636133i | ||||
\(640\) | 1.56628 | + | 1.45329i | 0.0619126 | + | 0.0574465i | ||||
\(641\) | 7.85368 | + | 1.18375i | 0.310202 | + | 0.0467554i | 0.302298 | − | 0.953213i | \(-0.402246\pi\) |
0.00790338 | + | 0.999969i | \(0.497484\pi\) | |||||||
\(642\) | 5.52004 | − | 1.64966i | 0.217859 | − | 0.0651070i | ||||
\(643\) | 8.41668 | − | 7.80954i | 0.331922 | − | 0.307978i | −0.496551 | − | 0.868007i | \(-0.665401\pi\) |
0.828473 | + | 0.560029i | \(0.189210\pi\) | |||||||
\(644\) | 14.0064 | + | 8.94024i | 0.551928 | + | 0.352295i | ||||
\(645\) | −6.42614 | + | 1.92045i | −0.253029 | + | 0.0756177i | ||||
\(646\) | 1.95644 | + | 0.942172i | 0.0769751 | + | 0.0370693i | ||||
\(647\) | 24.3692 | + | 7.51689i | 0.958051 | + | 0.295520i | 0.734070 | − | 0.679074i | \(-0.237618\pi\) |
0.223981 | + | 0.974594i | \(0.428095\pi\) | |||||||
\(648\) | −8.24110 | + | 3.61723i | −0.323741 | + | 0.142098i | ||||
\(649\) | −2.54716 | + | 6.49007i | −0.0999850 | + | 0.254758i | ||||
\(650\) | 0.0648668 | − | 0.865587i | 0.00254428 | − | 0.0339511i | ||||
\(651\) | −14.0712 | + | 25.6288i | −0.551494 | + | 1.00447i | ||||
\(652\) | 1.79576 | + | 23.9627i | 0.0703272 | + | 0.938452i | ||||
\(653\) | −26.5786 | − | 8.19842i | −1.04010 | − | 0.320829i | −0.272770 | − | 0.962079i | \(-0.587940\pi\) |
−0.767332 | + | 0.641250i | \(0.778416\pi\) | |||||||
\(654\) | 19.7711 | − | 2.80234i | 0.773110 | − | 0.109580i | ||||
\(655\) | −4.04793 | − | 7.01122i | −0.158166 | − | 0.273951i | ||||
\(656\) | −3.93494 | − | 6.81551i | −0.153634 | − | 0.266101i | ||||
\(657\) | 26.7777 | − | 3.55543i | 1.04470 | − | 0.138710i | ||||
\(658\) | −3.36486 | + | 2.44664i | −0.131176 | + | 0.0953798i | ||||
\(659\) | 18.1207 | + | 46.1707i | 0.705881 | + | 1.79856i | 0.593410 | + | 0.804900i | \(0.297781\pi\) |
0.112471 | + | 0.993655i | \(0.464124\pi\) | |||||||
\(660\) | 1.37198 | − | 1.68970i | 0.0534042 | − | 0.0657713i | ||||
\(661\) | 18.9332 | + | 9.11773i | 0.736415 | + | 0.354639i | 0.764203 | − | 0.644975i | \(-0.223132\pi\) |
−0.0277889 | + | 0.999614i | \(0.508847\pi\) | |||||||
\(662\) | −19.7944 | − | 9.53248i | −0.769331 | − | 0.370490i | ||||
\(663\) | 1.49528 | − | 1.84154i | 0.0580717 | − | 0.0715196i | ||||
\(664\) | −1.12646 | − | 2.87019i | −0.0437153 | − | 0.111385i | ||||
\(665\) | −8.47506 | + | 15.7634i | −0.328649 | + | 0.611278i | ||||
\(666\) | −12.5172 | + | 30.3139i | −0.485033 | + | 1.17464i | ||||
\(667\) | 17.7561 | + | 30.7545i | 0.687520 | + | 1.19082i | ||||
\(668\) | 5.38498 | + | 9.32706i | 0.208351 | + | 0.360875i | ||||
\(669\) | 26.0893 | − | 3.69788i | 1.00867 | − | 0.142968i | ||||
\(670\) | 4.77627 | + | 1.47328i | 0.184523 | + | 0.0569179i | ||||
\(671\) | 0.170970 | + | 2.28143i | 0.00660021 | + | 0.0880737i | ||||
\(672\) | 4.51567 | − | 0.780234i | 0.174196 | − | 0.0300982i | ||||
\(673\) | 2.02799 | − | 27.0616i | 0.0781732 | − | 1.04315i | −0.810840 | − | 0.585268i | \(-0.800989\pi\) |
0.889013 | − | 0.457881i | \(-0.151392\pi\) | |||||||
\(674\) | −13.1640 | + | 33.5413i | −0.507058 | + | 1.29196i | ||||
\(675\) | −1.83209 | − | 1.32125i | −0.0705171 | − | 0.0508548i | ||||
\(676\) | −8.61248 | − | 2.65660i | −0.331249 | − | 0.102177i | ||||
\(677\) | 42.7753 | + | 20.5995i | 1.64399 | + | 0.791704i | 0.999636 | + | 0.0269762i | \(0.00858785\pi\) |
0.644354 | + | 0.764728i | \(0.277126\pi\) | |||||||
\(678\) | −1.93744 | + | 0.579003i | −0.0744069 | + | 0.0222365i | ||||
\(679\) | −34.1445 | + | 33.6626i | −1.31035 | + | 1.29185i | ||||
\(680\) | −1.07429 | + | 0.996799i | −0.0411973 | + | 0.0382255i | ||||
\(681\) | 10.5393 | − | 3.14967i | 0.403868 | − | 0.120696i | ||||
\(682\) | −3.71047 | − | 0.559263i | −0.142081 | − | 0.0214153i | ||||
\(683\) | 11.2084 | + | 10.3999i | 0.428879 | + | 0.397942i | 0.864859 | − | 0.502015i | \(-0.167408\pi\) |
−0.435980 | + | 0.899956i | \(0.643598\pi\) | |||||||
\(684\) | 7.75211 | + | 5.48756i | 0.296409 | + | 0.209822i | ||||
\(685\) | 12.7119 | 0.485695 | ||||||||
\(686\) | 17.3466 | + | 6.48814i | 0.662296 | + | 0.247718i | ||||
\(687\) | 13.2441 | − | 22.4804i | 0.505294 | − | 0.857680i | ||||
\(688\) | 0.135434 | − | 1.80724i | 0.00516336 | − | 0.0689003i | ||||
\(689\) | 0.947937 | − | 4.15318i | 0.0361135 | − | 0.158224i | ||||
\(690\) | −22.9516 | − | 3.66619i | −0.873752 | − | 0.139570i | ||||
\(691\) | 4.42905 | − | 19.4049i | 0.168489 | − | 0.738198i | −0.818114 | − | 0.575057i | \(-0.804980\pi\) |
0.986603 | − | 0.163142i | \(-0.0521628\pi\) | |||||||
\(692\) | 2.06419 | + | 9.04380i | 0.0784687 | + | 0.343794i | ||||
\(693\) | −1.09646 | − | 4.53756i | −0.0416511 | − | 0.172368i | ||||
\(694\) | −5.82753 | + | 25.5321i | −0.221210 | + | 0.969185i | ||||
\(695\) | −16.8185 | − | 8.09934i | −0.637960 | − | 0.307225i | ||||
\(696\) | 9.33291 | + | 2.96899i | 0.353763 | + | 0.112539i | ||||
\(697\) | 4.86331 | − | 2.34205i | 0.184211 | − | 0.0887113i | ||||
\(698\) | 25.8253 | − | 3.89253i | 0.977500 | − | 0.147334i | ||||
\(699\) | −21.0987 | − | 14.6584i | −0.798026 | − | 0.554432i | ||||
\(700\) | 0.744002 | + | 0.877076i | 0.0281206 | + | 0.0331504i | ||||
\(701\) | 32.6591 | + | 15.7278i | 1.23352 | + | 0.594031i | 0.933045 | − | 0.359759i | \(-0.117141\pi\) |
0.300474 | + | 0.953790i | \(0.402855\pi\) | |||||||
\(702\) | 7.78940 | − | 6.85397i | 0.293992 | − | 0.258686i | ||||
\(703\) | 34.2240 | − | 5.15844i | 1.29078 | − | 0.194554i | ||||
\(704\) | 0.294066 | + | 0.509338i | 0.0110830 | + | 0.0191964i | ||||
\(705\) | 2.95390 | − | 5.01390i | 0.111250 | − | 0.188834i | ||||
\(706\) | 9.36004 | − | 23.8490i | 0.352270 | − | 0.897568i | ||||
\(707\) | 5.20591 | − | 0.157751i | 0.195788 | − | 0.00593283i | ||||
\(708\) | 12.9426 | − | 15.9398i | 0.486413 | − | 0.599054i | ||||
\(709\) | −21.8427 | + | 27.3899i | −0.820321 | + | 1.02865i | 0.178677 | + | 0.983908i | \(0.442818\pi\) |
−0.998999 | + | 0.0447427i | \(0.985753\pi\) | |||||||
\(710\) | −22.6401 | + | 15.4358i | −0.849668 | + | 0.579294i | ||||
\(711\) | 27.0786 | + | 13.6324i | 1.01553 | + | 0.511256i | ||||
\(712\) | 5.05306 | + | 0.761626i | 0.189371 | + | 0.0285431i | ||||
\(713\) | 14.6393 | + | 37.3002i | 0.548244 | + | 1.39690i | ||||
\(714\) | 0.302200 | + | 3.12858i | 0.0113096 | + | 0.117084i | ||||
\(715\) | −0.916719 | + | 2.33576i | −0.0342834 | + | 0.0873526i | ||||
\(716\) | −9.54088 | + | 16.5253i | −0.356559 | + | 0.617579i | ||||
\(717\) | −0.219992 | − | 0.388899i | −0.00821573 | − | 0.0145237i | ||||
\(718\) | 9.73023 | − | 24.7922i | 0.363129 | − | 0.925238i | ||||
\(719\) | 12.7462 | − | 11.8268i | 0.475353 | − | 0.441063i | −0.405752 | − | 0.913983i | \(-0.632990\pi\) |
0.881106 | + | 0.472920i | \(0.156800\pi\) | |||||||
\(720\) | −5.35887 | + | 3.51711i | −0.199713 | + | 0.131075i | ||||
\(721\) | −5.04070 | − | 8.15024i | −0.187725 | − | 0.303531i | ||||
\(722\) | −0.670839 | + | 8.95173i | −0.0249661 | + | 0.333149i | ||||
\(723\) | 10.8650 | − | 26.9830i | 0.404072 | − | 1.00351i | ||||
\(724\) | −10.4967 | + | 5.05496i | −0.390108 | + | 0.187866i | ||||
\(725\) | 0.546964 | + | 2.39641i | 0.0203137 | + | 0.0890003i | ||||
\(726\) | −15.3378 | + | 10.2606i | −0.569240 | + | 0.380808i | ||||
\(727\) | 6.93128 | + | 6.43129i | 0.257067 | + | 0.238523i | 0.798169 | − | 0.602434i | \(-0.205802\pi\) |
−0.541102 | + | 0.840957i | \(0.681993\pi\) | |||||||
\(728\) | −4.68818 | + | 2.43531i | −0.173755 | + | 0.0902585i | ||||
\(729\) | −4.61078 | − | 26.6034i | −0.170770 | − | 0.985311i | ||||
\(730\) | 18.3842 | − | 5.67078i | 0.680431 | − | 0.209885i | ||||
\(731\) | 1.22916 | + | 0.185266i | 0.0454620 | + | 0.00685230i | ||||
\(732\) | 1.55701 | − | 6.55529i | 0.0575486 | − | 0.242291i | ||||
\(733\) | −0.732746 | + | 9.77782i | −0.0270646 | + | 0.361152i | 0.967186 | + | 0.254071i | \(0.0817696\pi\) |
−0.994250 | + | 0.107081i | \(0.965849\pi\) | |||||||
\(734\) | −11.4510 | − | 19.8337i | −0.422663 | − | 0.732074i | ||||
\(735\) | −25.8708 | + | 1.34099i | −0.954260 | + | 0.0494633i | ||||
\(736\) | 3.14021 | − | 5.43900i | 0.115750 | − | 0.200484i | ||||
\(737\) | 1.13677 | + | 0.775035i | 0.0418734 | + | 0.0285488i | ||||
\(738\) | 22.6797 | − | 6.56102i | 0.834850 | − | 0.241514i | ||||
\(739\) | −11.3026 | − | 28.7985i | −0.415773 | − | 1.05937i | −0.973366 | − | 0.229257i | \(-0.926370\pi\) |
0.557593 | − | 0.830114i | \(-0.311725\pi\) | |||||||
\(740\) | −5.19770 | + | 22.7726i | −0.191071 | + | 0.837138i | ||||
\(741\) | −10.4342 | − | 3.31933i | −0.383309 | − | 0.121939i | ||||
\(742\) | 2.96904 | + | 4.80059i | 0.108997 | + | 0.176235i | ||||
\(743\) | 6.87267 | − | 2.11994i | 0.252134 | − | 0.0777730i | −0.166112 | − | 0.986107i | \(-0.553121\pi\) |
0.418246 | + | 0.908334i | \(0.362645\pi\) | |||||||
\(744\) | 9.91383 | + | 4.88216i | 0.363459 | + | 0.178989i | ||||
\(745\) | −33.5772 | + | 31.1550i | −1.23017 | + | 1.14143i | ||||
\(746\) | 1.25760 | − | 16.7815i | 0.0460441 | − | 0.614415i | ||||
\(747\) | 9.16950 | − | 1.21748i | 0.335494 | − | 0.0445454i | ||||
\(748\) | −0.363445 | + | 0.175026i | −0.0132889 | + | 0.00639959i | ||||
\(749\) | 1.69752 | − | 8.63521i | 0.0620262 | − | 0.315524i | ||||
\(750\) | −18.0435 | − | 8.88568i | −0.658854 | − | 0.324459i | ||||
\(751\) | −0.353435 | − | 0.109020i | −0.0128970 | − | 0.00397821i | 0.288300 | − | 0.957540i | \(-0.406910\pi\) |
−0.301197 | + | 0.953562i | \(0.597386\pi\) | |||||||
\(752\) | 0.980411 | + | 1.22940i | 0.0357519 | + | 0.0448315i | ||||
\(753\) | −30.6964 | − | 0.270078i | −1.11864 | − | 0.00984218i | ||||
\(754\) | −11.2906 | −0.411181 | ||||||||
\(755\) | 12.6419 | + | 15.8524i | 0.460084 | + | 0.576927i | ||||
\(756\) | −0.973914 | + | 13.7132i | −0.0354209 | + | 0.498744i | ||||
\(757\) | −25.8489 | + | 32.4135i | −0.939494 | + | 1.17809i | 0.0443423 | + | 0.999016i | \(0.485881\pi\) |
−0.983836 | + | 0.179072i | \(0.942691\pi\) | |||||||
\(758\) | 3.46824 | − | 4.34903i | 0.125972 | − | 0.157964i | ||||
\(759\) | −5.73949 | − | 2.82647i | −0.208330 | − | 0.102594i | ||||
\(760\) | 6.09462 | + | 2.93501i | 0.221075 | + | 0.106464i | ||||
\(761\) | −16.6757 | − | 42.4890i | −0.604494 | − | 1.54023i | −0.825174 | − | 0.564879i | \(-0.808923\pi\) |
0.220680 | − | 0.975346i | \(-0.429172\pi\) | |||||||
\(762\) | 1.62114 | − | 1.99655i | 0.0587276 | − | 0.0723275i | ||||
\(763\) | 10.2787 | − | 28.7186i | 0.372116 | − | 1.03968i | ||||
\(764\) | −7.58955 | − | 9.51700i | −0.274580 | − | 0.344313i | ||||
\(765\) | −2.13093 | − | 3.84559i | −0.0770439 | − | 0.139038i | ||||
\(766\) | −12.2898 | + | 21.2866i | −0.444050 | + | 0.769117i | ||||
\(767\) | −8.64790 | + | 22.0345i | −0.312257 | + | 0.795619i | ||||
\(768\) | −0.370546 | − | 1.69195i | −0.0133709 | − | 0.0610530i | ||||
\(769\) | 1.81022 | + | 24.1558i | 0.0652784 | + | 0.871079i | 0.929701 | + | 0.368314i | \(0.120065\pi\) |
−0.864423 | + | 0.502765i | \(0.832316\pi\) | |||||||
\(770\) | −1.30785 | − | 3.05671i | −0.0471316 | − | 0.110156i | ||||
\(771\) | 0.258064 | − | 3.07977i | 0.00929394 | − | 0.110915i | ||||
\(772\) | 12.8499 | + | 16.1132i | 0.462477 | + | 0.579927i | ||||
\(773\) | 2.55471 | − | 34.0902i | 0.0918865 | − | 1.22614i | −0.740543 | − | 0.672009i | \(-0.765432\pi\) |
0.832430 | − | 0.554131i | \(-0.186949\pi\) | |||||||
\(774\) | 5.16637 | + | 1.69373i | 0.185701 | + | 0.0608797i | ||||
\(775\) | 0.207265 | + | 2.76576i | 0.00744517 | + | 0.0993489i | ||||
\(776\) | 13.2849 | + | 12.3266i | 0.476899 | + | 0.442498i | ||||
\(777\) | 32.0699 | + | 38.4874i | 1.15050 | + | 1.38073i | ||||
\(778\) | −12.1820 | + | 11.3032i | −0.436745 | + | 0.405240i | ||||
\(779\) | −18.2644 | − | 16.9469i | −0.654390 | − | 0.607185i | ||||
\(780\) | 4.65802 | − | 5.73670i | 0.166784 | − | 0.205407i | ||||
\(781\) | −7.20738 | + | 2.22318i | −0.257900 | + | 0.0795518i | ||||
\(782\) | 3.55917 | + | 2.42660i | 0.127276 | + | 0.0867751i | ||||
\(783\) | −15.3571 | + | 25.0484i | −0.548817 | + | 0.895157i | ||||
\(784\) | 2.15815 | − | 6.65901i | 0.0770768 | − | 0.237822i | ||||
\(785\) | −11.7195 | + | 20.2988i | −0.418288 | + | 0.724497i | ||||
\(786\) | −0.547998 | + | 6.53988i | −0.0195464 | + | 0.233270i | ||||
\(787\) | 7.59981 | − | 33.2969i | 0.270904 | − | 1.18691i | −0.638045 | − | 0.769999i | \(-0.720256\pi\) |
0.908949 | − | 0.416908i | \(-0.136886\pi\) | |||||||
\(788\) | 6.60215 | − | 8.27883i | 0.235192 | − | 0.294921i | ||||
\(789\) | −14.6957 | + | 4.39181i | −0.523181 | + | 0.156352i | ||||
\(790\) | 20.6327 | + | 6.36435i | 0.734079 | + | 0.226433i | ||||
\(791\) | −0.595802 | + | 3.03081i | −0.0211843 | + | 0.107763i | ||||
\(792\) | −1.69490 | + | 0.490319i | −0.0602256 | + | 0.0174227i | ||||
\(793\) | 0.580461 | + | 7.74571i | 0.0206128 | + | 0.275058i | ||||
\(794\) | −5.31457 | + | 4.93120i | −0.188607 | + | 0.175002i | ||||
\(795\) | −6.48411 | − | 4.50487i | −0.229968 | − | 0.159771i | ||||
\(796\) | −18.4486 | + | 2.78067i | −0.653892 | + | 0.0985583i | ||||
\(797\) | −8.94131 | − | 6.09608i | −0.316717 | − | 0.215934i | 0.394518 | − | 0.918888i | \(-0.370912\pi\) |
−0.711235 | + | 0.702954i | \(0.751864\pi\) | |||||||
\(798\) | 12.9331 | − | 6.57434i | 0.457826 | − | 0.232729i | ||||
\(799\) | −0.891125 | + | 0.607559i | −0.0315257 | + | 0.0214939i | ||||
\(800\) | 0.318664 | − | 0.295677i | 0.0112665 | − | 0.0104538i | ||||
\(801\) | −5.85106 | + | 14.1699i | −0.206737 | + | 0.500669i | ||||
\(802\) | −16.4001 | + | 28.4059i | −0.579109 | + | 1.00305i | ||||
\(803\) | 5.29569 | 0.186881 | ||||||||
\(804\) | −2.49831 | − | 3.18995i | −0.0881085 | − | 0.112501i | ||||
\(805\) | −21.2852 | + | 28.4155i | −0.750206 | + | 1.00152i | ||||
\(806\) | −12.5974 | − | 1.89876i | −0.443726 | − | 0.0668809i | ||||
\(807\) | 8.19115 | + | 21.4230i | 0.288342 | + | 0.754126i | ||||
\(808\) | −0.147110 | − | 1.96305i | −0.00517531 | − | 0.0690597i | ||||
\(809\) | −31.4014 | + | 21.4091i | −1.10402 | + | 0.752705i | −0.971160 | − | 0.238430i | \(-0.923367\pi\) |
−0.132856 | + | 0.991135i | \(0.542415\pi\) | |||||||
\(810\) | −6.39128 | − | 18.1367i | −0.224567 | − | 0.637259i | ||||
\(811\) | 17.7738 | − | 22.2877i | 0.624124 | − | 0.782626i | −0.364795 | − | 0.931088i | \(-0.618861\pi\) |
0.988918 | + | 0.148462i | \(0.0474322\pi\) | |||||||
\(812\) | 10.6534 | − | 10.5030i | 0.373861 | − | 0.368585i | ||||
\(813\) | −2.26575 | + | 5.62696i | −0.0794634 | + | 0.197346i | ||||
\(814\) | −3.21478 | + | 5.56817i | −0.112678 | + | 0.195164i | ||||
\(815\) | −51.3436 | −1.79849 | ||||||||
\(816\) | 1.17624 | − | 0.166719i | 0.0411766 | − | 0.00583635i | ||||
\(817\) | −1.27675 | − | 5.59379i | −0.0446677 | − | 0.195702i | ||||
\(818\) | −11.0115 | − | 5.30288i | −0.385010 | − | 0.185411i | ||||
\(819\) | −3.72260 | − | 15.4055i | −0.130078 | − | 0.538312i | ||||
\(820\) | 15.1500 | − | 7.29584i | 0.529060 | − | 0.254782i | ||||
\(821\) | −16.6273 | − | 20.8499i | −0.580295 | − | 0.727667i | 0.401868 | − | 0.915698i | \(-0.368361\pi\) |
−0.982163 | + | 0.188030i | \(0.939790\pi\) | |||||||
\(822\) | −8.46275 | − | 5.87953i | −0.295172 | − | 0.205072i | ||||
\(823\) | 8.26538 | + | 36.2130i | 0.288113 | + | 1.26231i | 0.887112 | + | 0.461555i | \(0.152708\pi\) |
−0.598999 | + | 0.800750i | \(0.704434\pi\) | |||||||
\(824\) | −2.99268 | + | 2.04038i | −0.104255 | + | 0.0710799i | ||||
\(825\) | −0.321953 | − | 0.304043i | −0.0112089 | − | 0.0105854i | ||||
\(826\) | −12.3376 | − | 28.8355i | −0.429281 | − | 1.00332i | ||||
\(827\) | 3.47678 | + | 15.2328i | 0.120899 | + | 0.529695i | 0.998714 | + | 0.0506948i | \(0.0161436\pi\) |
−0.877815 | + | 0.479000i | \(0.840999\pi\) | |||||||
\(828\) | 13.5840 | + | 13.0564i | 0.472077 | + | 0.453740i | ||||
\(829\) | −14.5159 | − | 36.9859i | −0.504158 | − | 1.28457i | −0.925869 | − | 0.377844i | \(-0.876666\pi\) |
0.421711 | − | 0.906730i | \(-0.361430\pi\) | |||||||
\(830\) | 6.29531 | − | 1.94185i | 0.218513 | − | 0.0674025i | ||||
\(831\) | 12.5294 | + | 8.70488i | 0.434641 | + | 0.301969i | ||||
\(832\) | 0.998386 | + | 1.72926i | 0.0346128 | + | 0.0599512i | ||||
\(833\) | 4.44395 | + | 1.81743i | 0.153974 | + | 0.0629703i | ||||
\(834\) | 7.45052 | + | 13.1709i | 0.257990 | + | 0.456073i | ||||
\(835\) | −20.7328 | + | 9.98439i | −0.717488 | + | 0.345524i | ||||
\(836\) | 1.36494 | + | 1.26648i | 0.0472073 | + | 0.0438020i | ||||
\(837\) | −21.3470 | + | 25.3650i | −0.737859 | + | 0.876742i | ||||
\(838\) | −27.9121 | + | 8.60974i | −0.964208 | + | 0.297419i | ||||
\(839\) | −37.8983 | − | 11.6901i | −1.30839 | − | 0.403586i | −0.439347 | − | 0.898317i | \(-0.644790\pi\) |
−0.869046 | + | 0.494731i | \(0.835266\pi\) | |||||||
\(840\) | 0.941401 | + | 9.74602i | 0.0324814 | + | 0.336270i | ||||
\(841\) | 2.84063 | − | 0.876219i | 0.0979528 | − | 0.0302144i | ||||
\(842\) | −3.15719 | + | 2.15254i | −0.108804 | + | 0.0741813i | ||||
\(843\) | −3.16446 | − | 1.00668i | −0.108990 | − | 0.0346720i | ||||
\(844\) | −12.8354 | − | 8.75104i | −0.441814 | − | 0.301223i | ||||
\(845\) | 7.03554 | − | 17.9263i | 0.242030 | − | 0.616682i | ||||
\(846\) | −4.28556 | + | 1.97169i | −0.147341 | + | 0.0677881i | ||||
\(847\) | 2.95692 | + | 28.0326i | 0.101601 | + | 0.963211i | ||||
\(848\) | 1.76273 | − | 1.20181i | 0.0605323 | − | 0.0412703i | ||||
\(849\) | −7.54803 | − | 34.4651i | −0.259048 | − | 1.18284i | ||||
\(850\) | 0.185901 | + | 0.233113i | 0.00637635 | + | 0.00799570i | ||||
\(851\) | 68.6586 | 2.35359 | ||||||||
\(852\) | 22.2117 | + | 0.195427i | 0.760962 | + | 0.00669522i | ||||
\(853\) | −2.19752 | + | 0.331223i | −0.0752418 | + | 0.0113409i | −0.186555 | − | 0.982444i | \(-0.559732\pi\) |
0.111313 | + | 0.993785i | \(0.464494\pi\) | |||||||
\(854\) | −7.75310 | − | 6.76858i | −0.265306 | − | 0.231616i | ||||
\(855\) | −12.9300 | + | 15.6410i | −0.442198 | + | 0.534913i | ||||
\(856\) | −3.28912 | − | 0.495755i | −0.112420 | − | 0.0169446i | ||||
\(857\) | −1.82516 | − | 24.3551i | −0.0623463 | − | 0.831953i | −0.937473 | − | 0.348059i | \(-0.886841\pi\) |
0.875126 | − | 0.483894i | \(-0.160778\pi\) | |||||||
\(858\) | 1.69064 | − | 1.13100i | 0.0577174 | − | 0.0386116i | ||||
\(859\) | 2.18798 | + | 5.57489i | 0.0746530 | + | 0.190213i | 0.963329 | − | 0.268323i | \(-0.0864694\pi\) |
−0.888676 | + | 0.458536i | \(0.848374\pi\) | |||||||
\(860\) | 3.82902 | + | 0.577132i | 0.130569 | + | 0.0196800i | ||||
\(861\) | 7.26751 | − | 35.3245i | 0.247676 | − | 1.20385i | ||||
\(862\) | 11.3633 | − | 1.71274i | 0.387036 | − | 0.0583363i | ||||
\(863\) | 3.86547 | + | 6.69519i | 0.131582 | + | 0.227907i | 0.924287 | − | 0.381699i | \(-0.124661\pi\) |
−0.792704 | + | 0.609606i | \(0.791328\pi\) | |||||||
\(864\) | 5.19434 | + | 0.137133i | 0.176715 | + | 0.00466537i | ||||
\(865\) | −19.5990 | + | 2.95408i | −0.666387 | + | 0.100442i | ||||
\(866\) | 6.08244 | + | 26.6489i | 0.206690 | + | 0.905567i | ||||
\(867\) | −1.88826 | − | 28.5677i | −0.0641286 | − | 0.970210i | ||||
\(868\) | 13.6528 | − | 9.92710i | 0.463405 | − | 0.336948i | ||||
\(869\) | 4.91065 | + | 3.34802i | 0.166582 | + | 0.113574i | ||||
\(870\) | −7.81618 | + | 19.4114i | −0.264993 | + | 0.658107i | ||||
\(871\) | 3.85945 | + | 2.63133i | 0.130772 | + | 0.0891591i | ||||
\(872\) | −11.0167 | − | 3.39821i | −0.373073 | − | 0.115078i | ||||
\(873\) | −45.4529 | + | 29.8315i | −1.53835 | + | 1.00964i | ||||
\(874\) | 4.42448 | − | 19.3849i | 0.149660 | − | 0.655704i | ||||
\(875\) | −24.8485 | + | 18.0676i | −0.840031 | + | 0.610797i | ||||
\(876\) | −14.8619 | − | 4.72789i | −0.502138 | − | 0.159740i | ||||
\(877\) | −35.4113 | − | 32.8569i | −1.19575 | − | 1.10950i | −0.991436 | − | 0.130592i | \(-0.958312\pi\) |
−0.204317 | − | 0.978905i | \(-0.565497\pi\) | |||||||
\(878\) | 13.4370 | − | 16.8494i | 0.453476 | − | 0.568641i | ||||
\(879\) | −21.7607 | + | 6.50317i | −0.733969 | + | 0.219346i | ||||
\(880\) | −1.13219 | + | 0.545234i | −0.0381661 | + | 0.0183798i | ||||
\(881\) | 8.86403 | 0.298637 | 0.149318 | − | 0.988789i | \(-0.452292\pi\) | ||||
0.149318 | + | 0.988789i | \(0.452292\pi\) | |||||||
\(882\) | 17.8434 | + | 11.0731i | 0.600818 | + | 0.372851i | ||||
\(883\) | 13.2860 | 0.447110 | 0.223555 | − | 0.974691i | \(-0.428234\pi\) | ||||
0.223555 | + | 0.974691i | \(0.428234\pi\) | |||||||
\(884\) | −1.23394 | + | 0.594232i | −0.0415018 | + | 0.0199862i | ||||
\(885\) | 31.8960 | + | 30.1217i | 1.07217 | + | 1.01253i | ||||
\(886\) | −4.75889 | + | 5.96746i | −0.159878 | + | 0.200481i | ||||
\(887\) | 1.42105 | + | 1.31854i | 0.0477141 | + | 0.0442722i | 0.703669 | − | 0.710527i | \(-0.251544\pi\) |
−0.655955 | + | 0.754800i | \(0.727734\pi\) | |||||||
\(888\) | 13.9932 | − | 12.7565i | 0.469580 | − | 0.428080i | ||||
\(889\) | −1.54536 | − | 3.61182i | −0.0518297 | − | 0.121137i | ||||
\(890\) | −2.42961 | + | 10.6448i | −0.0814409 | + | 0.356816i | ||||
\(891\) | −0.209594 | − | 5.28904i | −0.00702167 | − | 0.177190i | ||||
\(892\) | −14.5373 | − | 4.48417i | −0.486746 | − | 0.150141i | ||||
\(893\) | 4.11327 | + | 2.80438i | 0.137645 | + | 0.0938449i | ||||
\(894\) | 36.7635 | − | 5.21083i | 1.22955 | − | 0.174276i | ||||
\(895\) | −33.6867 | − | 22.9672i | −1.12602 | − | 0.767708i | ||||
\(896\) | −2.55067 | − | 0.702916i | −0.0852119 | − | 0.0234828i | ||||
\(897\) | −19.4862 | − | 9.59616i | −0.650625 | − | 0.320406i | ||||
\(898\) | 3.00122 | + | 13.1492i | 0.100152 | + | 0.438795i | ||||
\(899\) | 35.6733 | − | 5.37689i | 1.18977 | − | 0.179329i | ||||
\(900\) | 0.632090 | + | 1.14070i | 0.0210697 | + | 0.0380235i | ||||
\(901\) | 0.731651 | + | 1.26726i | 0.0243748 | + | 0.0422185i | ||||
\(902\) | 4.57683 | − | 0.689846i | 0.152392 | − | 0.0229694i | ||||
\(903\) | 5.96520 | − | 5.77840i | 0.198509 | − | 0.192293i | ||||
\(904\) | 1.15442 | + | 0.174001i | 0.0383956 | + | 0.00578720i | ||||
\(905\) | −9.09446 | − | 23.1723i | −0.302310 | − | 0.770274i | ||||
\(906\) | −1.08405 | − | 16.4007i | −0.0360150 | − | 0.544875i | ||||
\(907\) | 1.53193 | + | 20.4422i | 0.0508669 | + | 0.678771i | 0.963108 | + | 0.269117i | \(0.0867318\pi\) |
−0.912241 | + | 0.409655i | \(0.865649\pi\) | |||||||
\(908\) | −6.27986 | − | 0.946537i | −0.208405 | − | 0.0314119i | ||||
\(909\) | 5.82330 | + | 0.982807i | 0.193147 | + | 0.0325977i | ||||
\(910\) | −4.44029 | − | 10.3779i | −0.147194 | − | 0.344022i | ||||
\(911\) | −50.8166 | + | 7.65937i | −1.68363 | + | 0.253766i | −0.920008 | − | 0.391900i | \(-0.871818\pi\) |
−0.763620 | + | 0.645666i | \(0.776580\pi\) | |||||||
\(912\) | −2.69990 | − | 4.77285i | −0.0894025 | − | 0.158045i | ||||
\(913\) | 1.81340 | 0.0600149 | ||||||||
\(914\) | 11.5002 | + | 14.4208i | 0.380392 | + | 0.476996i | ||||
\(915\) | 13.7186 | + | 4.36418i | 0.453523 | + | 0.144275i | ||||
\(916\) | −12.4465 | + | 8.48586i | −0.411243 | + | 0.280381i | ||||
\(917\) | 8.45016 | + | 5.39373i | 0.279049 | + | 0.178117i | ||||
\(918\) | −0.360040 | + | 3.54575i | −0.0118831 | + | 0.117027i | ||||
\(919\) | −18.4268 | + | 46.9508i | −0.607845 | + | 1.54876i | 0.212661 | + | 0.977126i | \(0.431787\pi\) |
−0.820506 | + | 0.571638i | \(0.806308\pi\) | |||||||
\(920\) | 11.0874 | + | 7.55924i | 0.365540 | + | 0.249221i | ||||
\(921\) | 3.03507 | + | 13.8584i | 0.100009 | + | 0.456650i | ||||
\(922\) | −21.5210 | + | 14.6727i | −0.708755 | + | 0.483221i | ||||
\(923\) | −24.4698 | + | 7.54795i | −0.805435 | + | 0.248444i | ||||
\(924\) | −0.543116 | + | 2.63987i | −0.0178672 | + | 0.0868454i | ||||
\(925\) | 4.54118 | + | 1.40077i | 0.149313 | + | 0.0460570i | ||||
\(926\) | −13.8421 | + | 4.26972i | −0.454879 | + | 0.140312i | ||||
\(927\) | −3.79127 | − | 10.1833i | −0.124521 | − | 0.334464i | ||||
\(928\) | −4.14500 | − | 3.84600i | −0.136066 | − | 0.126251i | ||||
\(929\) | 33.9125 | − | 16.3314i | 1.11263 | − | 0.535815i | 0.215024 | − | 0.976609i | \(-0.431017\pi\) |
0.897609 | + | 0.440793i | \(0.145303\pi\) | |||||||
\(930\) | −11.9853 | + | 20.3436i | −0.393013 | + | 0.667094i | ||||
\(931\) | 0.314991 | − | 22.1593i | 0.0103234 | − | 0.726243i | ||||
\(932\) | 7.41634 | + | 12.8455i | 0.242930 | + | 0.420767i | ||||
\(933\) | 14.3917 | − | 6.77534i | 0.471162 | − | 0.221815i | ||||
\(934\) | 34.3364 | − | 10.5914i | 1.12352 | − | 0.346560i | ||||
\(935\) | −0.314892 | − | 0.802332i | −0.0102981 | − | 0.0262391i | ||||
\(936\) | −5.75437 | + | 1.66468i | −0.188087 | + | 0.0544119i | ||||
\(937\) | −9.45369 | − | 41.4193i | −0.308839 | − | 1.35311i | −0.856386 | − | 0.516336i | \(-0.827296\pi\) |
0.547548 | − | 0.836775i | \(-0.315562\pi\) | |||||||
\(938\) | −6.08940 | + | 1.10741i | −0.198826 | + | 0.0361582i | ||||
\(939\) | 1.82620 | − | 7.68867i | 0.0595959 | − | 0.250910i | ||||
\(940\) | −2.77599 | + | 1.89264i | −0.0905429 | + | 0.0617311i | ||||
\(941\) | −1.24906 | − | 5.47249i | −0.0407182 | − | 0.178398i | 0.950480 | − | 0.310787i | \(-0.100592\pi\) |
−0.991198 | + | 0.132389i | \(0.957735\pi\) | |||||||
\(942\) | 17.1908 | − | 8.09311i | 0.560107 | − | 0.263688i | ||||
\(943\) | −30.8167 | − | 38.6429i | −1.00353 | − | 1.25839i | ||||
\(944\) | −10.6805 | + | 5.14348i | −0.347622 | + | 0.167406i | ||||
\(945\) | −29.0629 | − | 4.26472i | −0.945416 | − | 0.138731i | ||||
\(946\) | 0.960321 | + | 0.462466i | 0.0312227 | + | 0.0150361i | ||||
\(947\) | 0.225659 | + | 0.988678i | 0.00733294 | + | 0.0321277i | 0.978462 | − | 0.206427i | \(-0.0661835\pi\) |
−0.971129 | + | 0.238555i | \(0.923326\pi\) | |||||||
\(948\) | −10.7923 | − | 13.7801i | −0.350517 | − | 0.447556i | ||||
\(949\) | 17.9794 | 0.583637 | ||||||||
\(950\) | 0.688131 | − | 1.19188i | 0.0223259 | − | 0.0386696i | ||||
\(951\) | −10.8162 | − | 13.8106i | −0.350739 | − | 0.447840i | ||||
\(952\) | 0.611513 | − | 1.70856i | 0.0198193 | − | 0.0553746i | ||||
\(953\) | −2.12064 | + | 2.65920i | −0.0686944 | + | 0.0861400i | −0.814991 | − | 0.579473i | \(-0.803258\pi\) |
0.746297 | + | 0.665613i | \(0.231830\pi\) | |||||||
\(954\) | 2.23310 | + | 5.99810i | 0.0722994 | + | 0.194196i | ||||
\(955\) | 21.4895 | − | 14.6513i | 0.695385 | − | 0.474105i | ||||
\(956\) | 0.0192778 | + | 0.257244i | 0.000623488 | + | 0.00831987i | ||||
\(957\) | −3.63081 | + | 4.47161i | −0.117367 | + | 0.144547i | ||||
\(958\) | 5.83667 | + | 0.879737i | 0.188574 | + | 0.0284230i | ||||
\(959\) | −13.9685 | + | 7.25604i | −0.451067 | + | 0.234310i | ||||
\(960\) | 3.66417 | − | 0.519357i | 0.118261 | − | 0.0167622i | ||||
\(961\) | 9.70648 | 0.313112 | ||||||||
\(962\) | −10.9145 | + | 18.9045i | −0.351899 | + | 0.609506i | ||||
\(963\) | 3.80855 | − | 9.22343i | 0.122729 | − | 0.297221i | ||||
\(964\) | −12.3110 | + | 11.4229i | −0.396510 | + | 0.367907i | ||||
\(965\) | −36.3839 | + | 24.8061i | −1.17124 | + | 0.798537i | ||||
\(966\) | 27.3132 | − | 9.07235i | 0.878787 | − | 0.291898i | ||||
\(967\) | 32.0022 | + | 21.8188i | 1.02912 | + | 0.701644i | 0.955303 | − | 0.295628i | \(-0.0955289\pi\) |
0.0738192 | + | 0.997272i | \(0.476481\pi\) | |||||||
\(968\) | 10.5351 | − | 1.58791i | 0.338611 | − | 0.0510374i | ||||
\(969\) | 3.40288 | − | 1.60201i | 0.109316 | − | 0.0514641i | ||||
\(970\) | −28.3852 | + | 26.3376i | −0.911393 | + | 0.845649i | ||||
\(971\) | −2.72445 | − | 36.3553i | −0.0874319 | − | 1.16670i | −0.852493 | − | 0.522739i | \(-0.824910\pi\) |
0.765061 | − | 0.643958i | \(-0.222709\pi\) | |||||||
\(972\) | −4.13374 | + | 15.0304i | −0.132590 | + | 0.482100i | ||||
\(973\) | 23.1042 | − | 0.700111i | 0.740688 | − | 0.0224445i | ||||
\(974\) | 10.7771 | + | 3.32428i | 0.345319 | + | 0.106517i | ||||
\(975\) | −1.09306 | − | 1.03226i | −0.0350060 | − | 0.0330587i | ||||
\(976\) | −2.42537 | + | 3.04132i | −0.0776342 | + | 0.0973502i | ||||
\(977\) | −6.67719 | + | 29.2547i | −0.213622 | + | 0.935940i | 0.748460 | + | 0.663180i | \(0.230794\pi\) |
−0.962082 | + | 0.272760i | \(0.912064\pi\) | |||||||
\(978\) | 34.1813 | + | 23.7476i | 1.09300 | + | 0.759364i | ||||
\(979\) | −1.50272 | + | 2.60278i | −0.0480271 | + | 0.0831853i | ||||
\(980\) | 13.8436 | + | 5.66159i | 0.442218 | + | 0.180853i | ||||
\(981\) | 17.8177 | − | 29.6441i | 0.568877 | − | 0.946463i | ||||
\(982\) | 9.96073 | + | 6.79111i | 0.317860 | + | 0.216713i | ||||
\(983\) | 36.2909 | − | 11.1943i | 1.15750 | − | 0.357042i | 0.344206 | − | 0.938894i | \(-0.388148\pi\) |
0.813294 | + | 0.581852i | \(0.197672\pi\) | |||||||
\(984\) | −13.4604 | − | 2.15011i | −0.429101 | − | 0.0685429i | ||||
\(985\) | 16.5854 | + | 15.3890i | 0.528453 | + | 0.490333i | ||||
\(986\) | 2.84301 | − | 2.63793i | 0.0905399 | − | 0.0840088i | ||||
\(987\) | −0.383928 | + | 7.19567i | −0.0122206 | + | 0.229041i | ||||
\(988\) | 4.63410 | + | 4.29982i | 0.147430 | + | 0.136796i | ||||
\(989\) | −0.850581 | − | 11.3502i | −0.0270469 | − | 0.360916i | ||||
\(990\) | −0.774083 | − | 3.68958i | −0.0246020 | − | 0.117262i | ||||
\(991\) | −2.23306 | + | 29.7981i | −0.0709355 | + | 0.946569i | 0.842266 | + | 0.539062i | \(0.181221\pi\) |
−0.913202 | + | 0.407507i | \(0.866398\pi\) | |||||||
\(992\) | −3.97797 | − | 4.98821i | −0.126301 | − | 0.158376i | ||||
\(993\) | −34.4288 | + | 16.2085i | −1.09257 | + | 0.514360i | ||||
\(994\) | 16.0674 | − | 29.8849i | 0.509626 | − | 0.947891i | ||||
\(995\) | −2.97900 | − | 39.7520i | −0.0944406 | − | 1.26022i | ||||
\(996\) | −5.08916 | − | 1.61897i | −0.161256 | − | 0.0512990i | ||||
\(997\) | −14.3969 | + | 36.6827i | −0.455954 | + | 1.16175i | 0.499422 | + | 0.866359i | \(0.333546\pi\) |
−0.955376 | + | 0.295393i | \(0.904549\pi\) | |||||||
\(998\) | −14.1660 | + | 24.5363i | −0.448418 | + | 0.776683i | ||||
\(999\) | 27.0944 | + | 49.9272i | 0.857229 | + | 1.57963i |
(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 | 882.2.bb.a.151.13 | yes | 336 | |
9.4 | even | 3 | 882.2.y.b.445.26 | yes | 336 | ||
49.37 | even | 21 | 882.2.y.b.331.26 | ✓ | 336 | ||
441.184 | even | 21 | inner | 882.2.bb.a.625.13 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
882.2.y.b.331.26 | ✓ | 336 | 49.37 | even | 21 | ||
882.2.y.b.445.26 | yes | 336 | 9.4 | even | 3 | ||
882.2.bb.a.151.13 | yes | 336 | 1.1 | even | 1 | trivial | |
882.2.bb.a.625.13 | yes | 336 | 441.184 | even | 21 | inner |