Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,2,Mod(11,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.l (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.862384341830\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 95.16 | ||
Character | \(\chi\) | \(=\) | 108.95 |
Dual form | 108.2.l.a.83.16 |
$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{17}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.39986 | + | 0.201007i | 0.989848 | + | 0.142133i | ||||
\(3\) | −1.02970 | + | 1.39274i | −0.594498 | + | 0.804097i | ||||
\(4\) | 1.91919 | + | 0.562762i | 0.959596 | + | 0.281381i | ||||
\(5\) | −2.12601 | + | 2.53368i | −0.950782 | + | 1.13310i | 0.0402123 | + | 0.999191i | \(0.487197\pi\) |
−0.990994 | + | 0.133906i | \(0.957248\pi\) | |||||||
\(6\) | −1.72138 | + | 1.74265i | −0.702752 | + | 0.711435i | ||||
\(7\) | 1.10219 | − | 3.02825i | 0.416590 | − | 1.14457i | −0.537032 | − | 0.843562i | \(-0.680454\pi\) |
0.953621 | − | 0.301009i | \(-0.0973233\pi\) | |||||||
\(8\) | 2.57347 | + | 1.17356i | 0.909860 | + | 0.414915i | ||||
\(9\) | −0.879432 | − | 2.86820i | −0.293144 | − | 0.956068i | ||||
\(10\) | −3.48540 | + | 3.11945i | −1.10218 | + | 0.986456i | ||||
\(11\) | 2.39850 | − | 2.01258i | 0.723174 | − | 0.606815i | −0.205087 | − | 0.978744i | \(-0.565748\pi\) |
0.928261 | + | 0.371929i | \(0.121303\pi\) | |||||||
\(12\) | −2.75997 | + | 2.09345i | −0.796736 | + | 0.604328i | ||||
\(13\) | 0.431530 | − | 2.44733i | 0.119685 | − | 0.678767i | −0.864639 | − | 0.502394i | \(-0.832453\pi\) |
0.984324 | − | 0.176372i | \(-0.0564363\pi\) | |||||||
\(14\) | 2.15161 | − | 4.01756i | 0.575042 | − | 1.07374i | ||||
\(15\) | −1.33960 | − | 5.56991i | −0.345882 | − | 1.43815i | ||||
\(16\) | 3.36660 | + | 2.16010i | 0.841650 | + | 0.540024i | ||||
\(17\) | 1.16511 | + | 0.672678i | 0.282581 | + | 0.163148i | 0.634591 | − | 0.772848i | \(-0.281168\pi\) |
−0.352010 | + | 0.935996i | \(0.614502\pi\) | |||||||
\(18\) | −0.654548 | − | 4.19185i | −0.154279 | − | 0.988027i | ||||
\(19\) | −5.00336 | + | 2.88869i | −1.14785 | + | 0.662711i | −0.948362 | − | 0.317190i | \(-0.897261\pi\) |
−0.199486 | + | 0.979901i | \(0.563927\pi\) | |||||||
\(20\) | −5.50609 | + | 3.66619i | −1.23120 | + | 0.819784i | ||||
\(21\) | 3.08263 | + | 4.65326i | 0.672684 | + | 1.01542i | ||||
\(22\) | 3.76209 | − | 2.33520i | 0.802081 | − | 0.497867i | ||||
\(23\) | −2.02346 | + | 0.736479i | −0.421920 | + | 0.153566i | −0.544250 | − | 0.838923i | \(-0.683186\pi\) |
0.122330 | + | 0.992490i | \(0.460963\pi\) | |||||||
\(24\) | −4.28436 | + | 2.37576i | −0.874542 | + | 0.484950i | ||||
\(25\) | −1.03138 | − | 5.84925i | −0.206276 | − | 1.16985i | ||||
\(26\) | 1.09601 | − | 3.33916i | 0.214945 | − | 0.654864i | ||||
\(27\) | 4.90021 | + | 1.72858i | 0.943045 | + | 0.332665i | ||||
\(28\) | 3.81950 | − | 5.19152i | 0.721818 | − | 0.981105i | ||||
\(29\) | −7.98578 | + | 1.40811i | −1.48292 | + | 0.261479i | −0.855745 | − | 0.517397i | \(-0.826901\pi\) |
−0.627177 | + | 0.778877i | \(0.715790\pi\) | |||||||
\(30\) | −0.755651 | − | 8.06634i | −0.137962 | − | 1.47271i | ||||
\(31\) | −1.43357 | − | 3.93870i | −0.257477 | − | 0.707412i | −0.999321 | − | 0.0368398i | \(-0.988271\pi\) |
0.741844 | − | 0.670572i | \(-0.233951\pi\) | |||||||
\(32\) | 4.27856 | + | 3.70053i | 0.756349 | + | 0.654168i | ||||
\(33\) | 0.333257 | + | 5.41283i | 0.0580125 | + | 0.942252i | ||||
\(34\) | 1.49578 | + | 1.17585i | 0.256524 | + | 0.201656i | ||||
\(35\) | 5.32935 | + | 9.23070i | 0.900824 | + | 1.56027i | ||||
\(36\) | −0.0736828 | − | 5.99955i | −0.0122805 | − | 0.999925i | ||||
\(37\) | 0.857888 | − | 1.48590i | 0.141036 | − | 0.244281i | −0.786851 | − | 0.617143i | \(-0.788290\pi\) |
0.927887 | + | 0.372862i | \(0.121623\pi\) | |||||||
\(38\) | −7.58462 | + | 3.03804i | −1.23039 | + | 0.492835i | ||||
\(39\) | 2.96414 | + | 3.12102i | 0.474642 | + | 0.499764i | ||||
\(40\) | −8.44466 | + | 4.02537i | −1.33522 | + | 0.636467i | ||||
\(41\) | 0.757721 | + | 0.133607i | 0.118336 | + | 0.0208659i | 0.232503 | − | 0.972596i | \(-0.425309\pi\) |
−0.114166 | + | 0.993462i | \(0.536420\pi\) | |||||||
\(42\) | 3.37989 | + | 7.13352i | 0.521529 | + | 1.10073i | ||||
\(43\) | 0.738845 | + | 0.880521i | 0.112673 | + | 0.134278i | 0.819433 | − | 0.573175i | \(-0.194288\pi\) |
−0.706760 | + | 0.707453i | \(0.749844\pi\) | |||||||
\(44\) | 5.73578 | − | 2.51274i | 0.864701 | − | 0.378810i | ||||
\(45\) | 9.13681 | + | 3.86964i | 1.36203 | + | 0.576852i | ||||
\(46\) | −2.98059 | + | 0.624235i | −0.439464 | + | 0.0920384i | ||||
\(47\) | −2.75778 | − | 1.00375i | −0.402264 | − | 0.146412i | 0.132962 | − | 0.991121i | \(-0.457551\pi\) |
−0.535226 | + | 0.844709i | \(0.679774\pi\) | |||||||
\(48\) | −6.47503 | + | 2.46453i | −0.934591 | + | 0.355725i | ||||
\(49\) | −2.59316 | − | 2.17592i | −0.370451 | − | 0.310845i | ||||
\(50\) | −0.268044 | − | 8.39541i | −0.0379071 | − | 1.18729i | ||||
\(51\) | −2.13658 | + | 0.930038i | −0.299181 | + | 0.130231i | ||||
\(52\) | 2.20545 | − | 4.45404i | 0.305841 | − | 0.617665i | ||||
\(53\) | − | 2.35375i | − | 0.323312i | −0.986847 | − | 0.161656i | \(-0.948317\pi\) | ||
0.986847 | − | 0.161656i | \(-0.0516835\pi\) | |||||||
\(54\) | 6.51213 | + | 3.40473i | 0.886188 | + | 0.463326i | ||||
\(55\) | 10.3558i | 1.39638i | ||||||||
\(56\) | 6.39029 | − | 6.49964i | 0.853938 | − | 0.868550i | ||||
\(57\) | 1.12878 | − | 9.94284i | 0.149510 | − | 1.31696i | ||||
\(58\) | −11.4620 | + | 0.365951i | −1.50503 | + | 0.0480517i | ||||
\(59\) | −3.53187 | − | 2.96359i | −0.459810 | − | 0.385827i | 0.383251 | − | 0.923644i | \(-0.374804\pi\) |
−0.843061 | + | 0.537818i | \(0.819249\pi\) | |||||||
\(60\) | 0.563590 | − | 11.4436i | 0.0727591 | − | 1.47736i | ||||
\(61\) | 1.07303 | + | 0.390550i | 0.137387 | + | 0.0500048i | 0.409799 | − | 0.912176i | \(-0.365599\pi\) |
−0.272412 | + | 0.962181i | \(0.587821\pi\) | |||||||
\(62\) | −1.21509 | − | 5.80177i | −0.154316 | − | 0.736826i | ||||
\(63\) | −9.65494 | − | 0.498176i | −1.21641 | − | 0.0627643i | ||||
\(64\) | 5.24553 | + | 6.04023i | 0.655691 | + | 0.755029i | ||||
\(65\) | 5.28331 | + | 6.29641i | 0.655314 | + | 0.780973i | ||||
\(66\) | −0.621505 | + | 7.64416i | −0.0765020 | + | 0.940932i | ||||
\(67\) | 14.0125 | + | 2.47079i | 1.71190 | + | 0.301855i | 0.941827 | − | 0.336097i | \(-0.109107\pi\) |
0.770076 | + | 0.637952i | \(0.220218\pi\) | |||||||
\(68\) | 1.85752 | + | 1.94668i | 0.225257 | + | 0.236070i | ||||
\(69\) | 1.05784 | − | 3.57650i | 0.127349 | − | 0.430560i | ||||
\(70\) | 5.60488 | + | 13.9929i | 0.669912 | + | 1.67247i | ||||
\(71\) | −4.55132 | + | 7.88312i | −0.540143 | + | 0.935554i | 0.458753 | + | 0.888564i | \(0.348296\pi\) |
−0.998895 | + | 0.0469904i | \(0.985037\pi\) | |||||||
\(72\) | 1.10281 | − | 8.41331i | 0.129967 | − | 0.991518i | ||||
\(73\) | 6.23943 | + | 10.8070i | 0.730270 | + | 1.26486i | 0.956768 | + | 0.290853i | \(0.0939389\pi\) |
−0.226498 | + | 0.974012i | \(0.572728\pi\) | |||||||
\(74\) | 1.49960 | − | 1.90761i | 0.174325 | − | 0.221755i | ||||
\(75\) | 9.20847 | + | 4.58653i | 1.06330 | + | 0.529607i | ||||
\(76\) | −11.2280 | + | 2.72825i | −1.28794 | + | 0.312952i | ||||
\(77\) | −3.45098 | − | 9.48149i | −0.393276 | − | 1.08052i | ||||
\(78\) | 3.52202 | + | 4.96479i | 0.398790 | + | 0.562152i | ||||
\(79\) | −9.28580 | + | 1.63734i | −1.04473 | + | 0.184215i | −0.669574 | − | 0.742745i | \(-0.733523\pi\) |
−0.375160 | + | 0.926960i | \(0.622412\pi\) | |||||||
\(80\) | −12.6304 | + | 3.93750i | −1.41212 | + | 0.440226i | ||||
\(81\) | −7.45320 | + | 5.04478i | −0.828133 | + | 0.560531i | ||||
\(82\) | 1.03384 | + | 0.339337i | 0.114169 | + | 0.0374735i | ||||
\(83\) | −0.863010 | − | 4.89437i | −0.0947277 | − | 0.537227i | −0.994830 | − | 0.101550i | \(-0.967620\pi\) |
0.900103 | − | 0.435678i | \(-0.143491\pi\) | |||||||
\(84\) | 3.29748 | + | 10.6653i | 0.359784 | + | 1.16368i | ||||
\(85\) | −4.18140 | + | 1.52190i | −0.453536 | + | 0.165074i | ||||
\(86\) | 0.857286 | + | 1.38112i | 0.0924435 | + | 0.148930i | ||||
\(87\) | 6.26184 | − | 12.5720i | 0.671340 | − | 1.34786i | ||||
\(88\) | 8.53434 | − | 2.36454i | 0.909764 | − | 0.252061i | ||||
\(89\) | 5.96340 | − | 3.44297i | 0.632119 | − | 0.364954i | −0.149454 | − | 0.988769i | \(-0.547751\pi\) |
0.781572 | + | 0.623815i | \(0.214418\pi\) | |||||||
\(90\) | 12.0124 | + | 7.25350i | 1.26622 | + | 0.764586i | ||||
\(91\) | −6.93549 | − | 4.00421i | −0.727037 | − | 0.419755i | ||||
\(92\) | −4.29787 | + | 0.274719i | −0.448084 | + | 0.0286415i | ||||
\(93\) | 6.96173 | + | 2.05910i | 0.721897 | + | 0.213519i | ||||
\(94\) | −3.65874 | − | 1.95944i | −0.377370 | − | 0.202101i | ||||
\(95\) | 3.31817 | − | 18.8183i | 0.340438 | − | 1.93072i | ||||
\(96\) | −9.55950 | + | 2.14846i | −0.975663 | + | 0.219277i | ||||
\(97\) | −5.19235 | + | 4.35690i | −0.527204 | + | 0.442376i | −0.867135 | − | 0.498074i | \(-0.834041\pi\) |
0.339931 | + | 0.940450i | \(0.389596\pi\) | |||||||
\(98\) | −3.19267 | − | 3.56721i | −0.322508 | − | 0.360343i | ||||
\(99\) | −7.88180 | − | 5.10945i | −0.792151 | − | 0.513520i | ||||
\(100\) | 1.31231 | − | 11.8062i | 0.131231 | − | 1.18062i | ||||
\(101\) | 4.03614 | − | 11.0892i | 0.401611 | − | 1.10342i | −0.559879 | − | 0.828575i | \(-0.689152\pi\) |
0.961489 | − | 0.274842i | \(-0.0886255\pi\) | |||||||
\(102\) | −3.17785 | + | 0.872452i | −0.314654 | + | 0.0863856i | ||||
\(103\) | 7.36980 | − | 8.78299i | 0.726168 | − | 0.865414i | −0.269046 | − | 0.963127i | \(-0.586708\pi\) |
0.995215 | + | 0.0977135i | \(0.0311529\pi\) | |||||||
\(104\) | 3.98261 | − | 5.79171i | 0.390527 | − | 0.567924i | ||||
\(105\) | −18.3436 | − | 2.08248i | −1.79015 | − | 0.203230i | ||||
\(106\) | 0.473119 | − | 3.29491i | 0.0459534 | − | 0.320029i | ||||
\(107\) | 4.97436 | 0.480889 | 0.240445 | − | 0.970663i | \(-0.422707\pi\) | ||||
0.240445 | + | 0.970663i | \(0.422707\pi\) | |||||||
\(108\) | 8.43166 | + | 6.07512i | 0.811337 | + | 0.584579i | ||||
\(109\) | −14.8006 | −1.41764 | −0.708818 | − | 0.705391i | \(-0.750771\pi\) | ||||
−0.708818 | + | 0.705391i | \(0.750771\pi\) | |||||||
\(110\) | −2.08159 | + | 14.4966i | −0.198472 | + | 1.38220i | ||||
\(111\) | 1.18611 | + | 2.72485i | 0.112580 | + | 0.258631i | ||||
\(112\) | 10.2520 | − | 7.81406i | 0.968718 | − | 0.738359i | ||||
\(113\) | −6.53179 | + | 7.78429i | −0.614459 | + | 0.732284i | −0.980107 | − | 0.198469i | \(-0.936403\pi\) |
0.365648 | + | 0.930753i | \(0.380848\pi\) | |||||||
\(114\) | 3.57871 | − | 13.6917i | 0.335177 | − | 1.28234i | ||||
\(115\) | 2.43589 | − | 6.69257i | 0.227148 | − | 0.624085i | ||||
\(116\) | −16.1187 | − | 1.79166i | −1.49658 | − | 0.166351i | ||||
\(117\) | −7.39894 | + | 0.914541i | −0.684032 | + | 0.0845494i | ||||
\(118\) | −4.34840 | − | 4.85853i | −0.400303 | − | 0.447264i | ||||
\(119\) | 3.32122 | − | 2.78683i | 0.304456 | − | 0.255469i | ||||
\(120\) | 3.08919 | − | 15.9061i | 0.282003 | − | 1.45202i | ||||
\(121\) | −0.207813 | + | 1.17857i | −0.0188921 | + | 0.107142i | ||||
\(122\) | 1.42358 | + | 0.762399i | 0.128885 | + | 0.0690244i | ||||
\(123\) | −0.966305 | + | 0.917731i | −0.0871288 | + | 0.0827491i | ||||
\(124\) | −0.534747 | − | 8.36589i | −0.0480217 | − | 0.751279i | ||||
\(125\) | 2.69102 | + | 1.55366i | 0.240692 | + | 0.138963i | ||||
\(126\) | −13.4154 | − | 2.63809i | −1.19514 | − | 0.235019i | ||||
\(127\) | 5.89940 | − | 3.40602i | 0.523487 | − | 0.302235i | −0.214873 | − | 0.976642i | \(-0.568934\pi\) |
0.738360 | + | 0.674407i | \(0.235601\pi\) | |||||||
\(128\) | 6.12886 | + | 9.50984i | 0.541720 | + | 0.840559i | ||||
\(129\) | −1.98712 | + | 0.122343i | −0.174957 | + | 0.0107717i | ||||
\(130\) | 6.13026 | + | 9.87605i | 0.537659 | + | 0.866187i | ||||
\(131\) | −19.4933 | + | 7.09499i | −1.70314 | + | 0.619892i | −0.996177 | − | 0.0873587i | \(-0.972157\pi\) |
−0.706963 | + | 0.707251i | \(0.749935\pi\) | |||||||
\(132\) | −2.40655 | + | 10.5758i | −0.209463 | + | 0.920505i | ||||
\(133\) | 3.23301 | + | 18.3353i | 0.280337 | + | 1.58987i | ||||
\(134\) | 19.1189 | + | 6.27536i | 1.65162 | + | 0.542109i | ||||
\(135\) | −14.7976 | + | 8.74059i | −1.27357 | + | 0.752271i | ||||
\(136\) | 2.20896 | + | 3.09845i | 0.189417 | + | 0.265690i | ||||
\(137\) | 10.5875 | − | 1.86687i | 0.904555 | − | 0.159497i | 0.298025 | − | 0.954558i | \(-0.403672\pi\) |
0.606530 | + | 0.795061i | \(0.292561\pi\) | |||||||
\(138\) | 2.19972 | − | 4.79395i | 0.187253 | − | 0.408088i | ||||
\(139\) | 4.19427 | + | 11.5237i | 0.355753 | + | 0.977425i | 0.980487 | + | 0.196586i | \(0.0629856\pi\) |
−0.624733 | + | 0.780838i | \(0.714792\pi\) | |||||||
\(140\) | 5.03336 | + | 20.7147i | 0.425397 | + | 1.75071i | ||||
\(141\) | 4.23765 | − | 2.80730i | 0.356875 | − | 0.236418i | ||||
\(142\) | −7.95576 | + | 10.1204i | −0.667632 | + | 0.849284i | ||||
\(143\) | −3.89041 | − | 6.73839i | −0.325333 | − | 0.563493i | ||||
\(144\) | 3.23490 | − | 11.5558i | 0.269575 | − | 0.962979i | ||||
\(145\) | 13.4102 | − | 23.2271i | 1.11365 | − | 1.92891i | ||||
\(146\) | 6.56201 | + | 16.3824i | 0.543076 | + | 1.35582i | ||||
\(147\) | 5.70066 | − | 1.37104i | 0.470182 | − | 0.113082i | ||||
\(148\) | 2.48266 | − | 2.36895i | 0.204074 | − | 0.194727i | ||||
\(149\) | 15.8663 | + | 2.79766i | 1.29982 | + | 0.229193i | 0.780376 | − | 0.625311i | \(-0.215028\pi\) |
0.519444 | + | 0.854504i | \(0.326139\pi\) | |||||||
\(150\) | 11.9686 | + | 8.27145i | 0.977233 | + | 0.675361i | ||||
\(151\) | −7.56244 | − | 9.01257i | −0.615423 | − | 0.733432i | 0.364853 | − | 0.931065i | \(-0.381119\pi\) |
−0.980276 | + | 0.197633i | \(0.936675\pi\) | |||||||
\(152\) | −16.2660 | + | 1.56224i | −1.31935 | + | 0.126715i | ||||
\(153\) | 0.904742 | − | 3.93336i | 0.0731441 | − | 0.317993i | ||||
\(154\) | −2.92503 | − | 13.9664i | −0.235706 | − | 1.12544i | ||||
\(155\) | 13.0272 | + | 4.74152i | 1.04637 | + | 0.380848i | ||||
\(156\) | 3.93236 | + | 7.65795i | 0.314840 | + | 0.613126i | ||||
\(157\) | 2.23343 | + | 1.87407i | 0.178247 | + | 0.149567i | 0.727546 | − | 0.686059i | \(-0.240661\pi\) |
−0.549299 | + | 0.835626i | \(0.685105\pi\) | |||||||
\(158\) | −13.3279 | + | 0.425525i | −1.06031 | + | 0.0338530i | ||||
\(159\) | 3.27815 | + | 2.42365i | 0.259974 | + | 0.192208i | ||||
\(160\) | −18.4722 | + | 2.97313i | −1.46036 | + | 0.235047i | ||||
\(161\) | 6.93928i | 0.546892i | ||||||||
\(162\) | −11.4474 | + | 5.56382i | −0.899396 | + | 0.437135i | ||||
\(163\) | 5.87169i | 0.459906i | 0.973202 | + | 0.229953i | \(0.0738573\pi\) | ||||
−0.973202 | + | 0.229953i | \(0.926143\pi\) | |||||||
\(164\) | 1.37902 | + | 0.682833i | 0.107684 | + | 0.0533203i | ||||
\(165\) | −14.4229 | − | 10.6634i | −1.12282 | − | 0.830142i | ||||
\(166\) | −0.224286 | − | 7.02489i | −0.0174080 | − | 0.545237i | ||||
\(167\) | 11.4565 | + | 9.61313i | 0.886529 | + | 0.743886i | 0.967511 | − | 0.252829i | \(-0.0813610\pi\) |
−0.0809815 | + | 0.996716i | \(0.525805\pi\) | |||||||
\(168\) | 2.47220 | + | 15.5927i | 0.190734 | + | 1.20300i | ||||
\(169\) | 6.41281 | + | 2.33407i | 0.493293 | + | 0.179544i | ||||
\(170\) | −6.15927 | + | 1.28996i | −0.472394 | + | 0.0989352i | ||||
\(171\) | 12.6855 | + | 11.8102i | 0.970081 | + | 0.903152i | ||||
\(172\) | 0.922462 | + | 2.10568i | 0.0703371 | + | 0.160557i | ||||
\(173\) | −11.9103 | − | 14.1942i | −0.905525 | − | 1.07916i | −0.996524 | − | 0.0833113i | \(-0.973450\pi\) |
0.0909989 | − | 0.995851i | \(-0.470994\pi\) | |||||||
\(174\) | 11.2927 | − | 16.3403i | 0.856100 | − | 1.23876i | ||||
\(175\) | −18.8498 | − | 3.32372i | −1.42491 | − | 0.251250i | ||||
\(176\) | 12.4221 | − | 1.59456i | 0.936354 | − | 0.120194i | ||||
\(177\) | 7.76427 | − | 1.86735i | 0.583598 | − | 0.140359i | ||||
\(178\) | 9.03995 | − | 3.62097i | 0.677573 | − | 0.271403i | ||||
\(179\) | 2.24925 | − | 3.89581i | 0.168117 | − | 0.291186i | −0.769641 | − | 0.638477i | \(-0.779565\pi\) |
0.937758 | + | 0.347290i | \(0.112898\pi\) | |||||||
\(180\) | 15.3576 | + | 12.5684i | 1.14469 | + | 0.936795i | ||||
\(181\) | 11.1009 | + | 19.2272i | 0.825120 | + | 1.42915i | 0.901827 | + | 0.432096i | \(0.142226\pi\) |
−0.0767073 | + | 0.997054i | \(0.524441\pi\) | |||||||
\(182\) | −8.90381 | − | 6.99939i | −0.659994 | − | 0.518830i | ||||
\(183\) | −1.64883 | + | 1.09229i | −0.121885 | + | 0.0807447i | ||||
\(184\) | −6.07162 | − | 0.479334i | −0.447606 | − | 0.0353370i | ||||
\(185\) | 1.94093 | + | 5.33267i | 0.142700 | + | 0.392066i | ||||
\(186\) | 9.33152 | + | 4.28180i | 0.684220 | + | 0.313957i | ||||
\(187\) | 4.14834 | − | 0.731464i | 0.303356 | − | 0.0534899i | ||||
\(188\) | −4.72785 | − | 3.47837i | −0.344814 | − | 0.253686i | ||||
\(189\) | 10.6355 | − | 12.9338i | 0.773621 | − | 0.940797i | ||||
\(190\) | 8.42758 | − | 25.6759i | 0.611401 | − | 1.86273i | ||||
\(191\) | 0.0574829 | + | 0.326002i | 0.00415932 | + | 0.0235887i | 0.986817 | − | 0.161841i | \(-0.0517433\pi\) |
−0.982657 | + | 0.185430i | \(0.940632\pi\) | |||||||
\(192\) | −13.8138 | + | 1.08601i | −0.996924 | + | 0.0783761i | ||||
\(193\) | 13.1159 | − | 4.77380i | 0.944103 | − | 0.343625i | 0.176318 | − | 0.984333i | \(-0.443581\pi\) |
0.767785 | + | 0.640708i | \(0.221359\pi\) | |||||||
\(194\) | −8.14432 | + | 5.05534i | −0.584728 | + | 0.362952i | ||||
\(195\) | −14.2095 | + | 0.874848i | −1.01756 | + | 0.0626492i | ||||
\(196\) | −3.75224 | − | 5.63533i | −0.268017 | − | 0.402524i | ||||
\(197\) | −6.02393 | + | 3.47792i | −0.429187 | + | 0.247791i | −0.699000 | − | 0.715121i | \(-0.746371\pi\) |
0.269813 | + | 0.962913i | \(0.413038\pi\) | |||||||
\(198\) | −10.0063 | − | 8.73680i | −0.711120 | − | 0.620897i | ||||
\(199\) | 11.9269 | + | 6.88598i | 0.845473 | + | 0.488134i | 0.859121 | − | 0.511773i | \(-0.171011\pi\) |
−0.0136479 | + | 0.999907i | \(0.504344\pi\) | |||||||
\(200\) | 4.21019 | − | 16.2633i | 0.297705 | − | 1.14999i | ||||
\(201\) | −17.8699 | + | 16.9716i | −1.26044 | + | 1.19708i | ||||
\(202\) | 7.87902 | − | 14.7120i | 0.554366 | − | 1.03513i | ||||
\(203\) | −4.53777 | + | 25.7349i | −0.318489 | + | 1.80624i | ||||
\(204\) | −4.62390 | + | 0.582536i | −0.323738 | + | 0.0407857i | ||||
\(205\) | −1.94944 | + | 1.63578i | −0.136155 | + | 0.114248i | ||||
\(206\) | 12.0821 | − | 10.8135i | 0.841800 | − | 0.753415i | ||||
\(207\) | 3.89187 | + | 5.15601i | 0.270503 | + | 0.358368i | ||||
\(208\) | 6.73925 | − | 7.30702i | 0.467283 | − | 0.506651i | ||||
\(209\) | −6.18682 | + | 16.9981i | −0.427951 | + | 1.17579i | ||||
\(210\) | −25.2598 | − | 6.60237i | −1.74309 | − | 0.455606i | ||||
\(211\) | −1.91739 | + | 2.28505i | −0.131998 | + | 0.157310i | −0.827995 | − | 0.560736i | \(-0.810518\pi\) |
0.695997 | + | 0.718045i | \(0.254963\pi\) | |||||||
\(212\) | 1.32460 | − | 4.51729i | 0.0909738 | − | 0.310249i | ||||
\(213\) | −6.29261 | − | 14.4561i | −0.431163 | − | 0.990512i | ||||
\(214\) | 6.96338 | + | 0.999881i | 0.476007 | + | 0.0683504i | ||||
\(215\) | −3.80176 | −0.259278 | ||||||||
\(216\) | 10.5820 | + | 10.1991i | 0.720012 | + | 0.693962i | ||||
\(217\) | −13.5074 | −0.916945 | ||||||||
\(218\) | −20.7187 | − | 2.97502i | −1.40324 | − | 0.201494i | ||||
\(219\) | −21.4761 | − | 2.43810i | −1.45122 | − | 0.164752i | ||||
\(220\) | −5.82784 | + | 19.8748i | −0.392913 | + | 1.33996i | ||||
\(221\) | 2.14905 | − | 2.56113i | 0.144560 | − | 0.172280i | ||||
\(222\) | 1.11266 | + | 4.05281i | 0.0746772 | + | 0.272007i | ||||
\(223\) | 0.347617 | − | 0.955070i | 0.0232782 | − | 0.0639562i | −0.927509 | − | 0.373800i | \(-0.878055\pi\) |
0.950787 | + | 0.309844i | \(0.100277\pi\) | |||||||
\(224\) | 15.9219 | − | 8.87784i | 1.06383 | − | 0.593176i | ||||
\(225\) | −15.8698 | + | 8.10222i | −1.05799 | + | 0.540148i | ||||
\(226\) | −10.7083 | + | 9.58394i | −0.712303 | + | 0.637515i | ||||
\(227\) | 13.4856 | − | 11.3158i | 0.895073 | − | 0.751056i | −0.0741477 | − | 0.997247i | \(-0.523624\pi\) |
0.969221 | + | 0.246191i | \(0.0791792\pi\) | |||||||
\(228\) | 7.76179 | − | 18.4470i | 0.514037 | − | 1.22168i | ||||
\(229\) | −1.90332 | + | 10.7943i | −0.125775 | + | 0.713307i | 0.855069 | + | 0.518514i | \(0.173515\pi\) |
−0.980844 | + | 0.194793i | \(0.937597\pi\) | |||||||
\(230\) | 4.75515 | − | 8.87900i | 0.313546 | − | 0.585464i | ||||
\(231\) | 16.7587 | + | 4.95679i | 1.10264 | + | 0.326133i | ||||
\(232\) | −22.2037 | − | 5.74803i | −1.45774 | − | 0.377377i | ||||
\(233\) | −5.10213 | − | 2.94572i | −0.334252 | − | 0.192980i | 0.323476 | − | 0.946237i | \(-0.395149\pi\) |
−0.657727 | + | 0.753256i | \(0.728482\pi\) | |||||||
\(234\) | −10.5413 | − | 0.207012i | −0.689105 | − | 0.0135328i | ||||
\(235\) | 8.40627 | − | 4.85336i | 0.548365 | − | 0.316599i | ||||
\(236\) | −5.11054 | − | 7.67530i | −0.332668 | − | 0.499619i | ||||
\(237\) | 7.28122 | − | 14.6187i | 0.472966 | − | 0.949583i | ||||
\(238\) | 5.20940 | − | 3.23358i | 0.337675 | − | 0.209602i | ||||
\(239\) | 1.13809 | − | 0.414231i | 0.0736169 | − | 0.0267943i | −0.304949 | − | 0.952369i | \(-0.598639\pi\) |
0.378566 | + | 0.925574i | \(0.376417\pi\) | |||||||
\(240\) | 7.52166 | − | 21.6453i | 0.485521 | − | 1.39720i | ||||
\(241\) | −4.18206 | − | 23.7176i | −0.269390 | − | 1.52779i | −0.756236 | − | 0.654299i | \(-0.772964\pi\) |
0.486846 | − | 0.873488i | \(-0.338147\pi\) | |||||||
\(242\) | −0.527808 | + | 1.60805i | −0.0339288 | + | 0.103369i | ||||
\(243\) | 0.648515 | − | 15.5750i | 0.0416022 | − | 0.999134i | ||||
\(244\) | 1.83956 | + | 1.35340i | 0.117766 | + | 0.0866424i | ||||
\(245\) | 11.0262 | − | 1.94421i | 0.704436 | − | 0.124211i | ||||
\(246\) | −1.53716 | + | 1.09046i | −0.0980057 | + | 0.0695250i | ||||
\(247\) | 4.91047 | + | 13.4914i | 0.312446 | + | 0.858437i | ||||
\(248\) | 0.933034 | − | 11.8185i | 0.0592477 | − | 0.750477i | ||||
\(249\) | 7.70522 | + | 3.83780i | 0.488298 | + | 0.243210i | ||||
\(250\) | 3.45474 | + | 2.71581i | 0.218497 | + | 0.171763i | ||||
\(251\) | −9.35066 | − | 16.1958i | −0.590208 | − | 1.02227i | −0.994204 | − | 0.107510i | \(-0.965712\pi\) |
0.403996 | − | 0.914761i | \(-0.367621\pi\) | |||||||
\(252\) | −18.2493 | − | 6.38953i | −1.14960 | − | 0.402502i | ||||
\(253\) | −3.37104 | + | 5.83881i | −0.211935 | + | 0.367083i | ||||
\(254\) | 8.94294 | − | 3.58211i | 0.561130 | − | 0.224762i | ||||
\(255\) | 2.18598 | − | 7.39070i | 0.136891 | − | 0.462823i | ||||
\(256\) | 6.66797 | + | 14.5444i | 0.416748 | + | 0.909022i | ||||
\(257\) | 12.8978 | + | 2.27423i | 0.804541 | + | 0.141862i | 0.560771 | − | 0.827971i | \(-0.310505\pi\) |
0.243770 | + | 0.969833i | \(0.421616\pi\) | |||||||
\(258\) | −2.80628 | − | 0.228163i | −0.174711 | − | 0.0142048i | ||||
\(259\) | −3.55413 | − | 4.23565i | −0.220843 | − | 0.263191i | ||||
\(260\) | 6.59632 | + | 15.0573i | 0.409086 | + | 0.933812i | ||||
\(261\) | 11.0617 | + | 21.6665i | 0.684702 | + | 1.34112i | ||||
\(262\) | −28.7140 | + | 6.01367i | −1.77396 | + | 0.371526i | ||||
\(263\) | −0.704065 | − | 0.256259i | −0.0434145 | − | 0.0158016i | 0.320222 | − | 0.947343i | \(-0.396243\pi\) |
−0.363636 | + | 0.931541i | \(0.618465\pi\) | |||||||
\(264\) | −5.49463 | + | 14.3209i | −0.338171 | + | 0.881388i | ||||
\(265\) | 5.96365 | + | 5.00409i | 0.366344 | + | 0.307399i | ||||
\(266\) | 0.840221 | + | 26.3166i | 0.0515173 | + | 1.61358i | ||||
\(267\) | −1.34537 | + | 11.8507i | −0.0823351 | + | 0.725249i | ||||
\(268\) | 25.5023 | + | 12.6276i | 1.55780 | + | 0.771356i | ||||
\(269\) | − | 12.1479i | − | 0.740673i | −0.928898 | − | 0.370337i | \(-0.879242\pi\) | ||
0.928898 | − | 0.370337i | \(-0.120758\pi\) | |||||||
\(270\) | −22.4714 | + | 9.26116i | −1.36756 | + | 0.563616i | ||||
\(271\) | − | 3.15453i | − | 0.191624i | −0.995399 | − | 0.0958120i | \(-0.969455\pi\) | ||
0.995399 | − | 0.0958120i | \(-0.0305448\pi\) | |||||||
\(272\) | 2.46942 | + | 4.78139i | 0.149730 | + | 0.289915i | ||||
\(273\) | 12.7183 | − | 5.53618i | 0.769746 | − | 0.335065i | ||||
\(274\) | 15.1963 | − | 0.485177i | 0.918041 | − | 0.0293106i | ||||
\(275\) | −14.2458 | − | 11.9537i | −0.859055 | − | 0.720833i | ||||
\(276\) | 4.04291 | − | 6.26868i | 0.243354 | − | 0.377330i | ||||
\(277\) | −31.1453 | − | 11.3360i | −1.87134 | − | 0.681113i | −0.967280 | − | 0.253712i | \(-0.918348\pi\) |
−0.904062 | − | 0.427401i | \(-0.859429\pi\) | |||||||
\(278\) | 3.55504 | + | 16.9745i | 0.213217 | + | 1.01807i | ||||
\(279\) | −10.0363 | + | 7.57560i | −0.600856 | + | 0.453539i | ||||
\(280\) | 2.88219 | + | 30.0093i | 0.172244 | + | 1.79340i | ||||
\(281\) | −12.2090 | − | 14.5502i | −0.728330 | − | 0.867990i | 0.267082 | − | 0.963674i | \(-0.413941\pi\) |
−0.995412 | + | 0.0956839i | \(0.969496\pi\) | |||||||
\(282\) | 6.49639 | − | 3.07802i | 0.386855 | − | 0.183294i | ||||
\(283\) | 5.92754 | + | 1.04519i | 0.352356 | + | 0.0621298i | 0.347025 | − | 0.937856i | \(-0.387192\pi\) |
0.00533091 | + | 0.999986i | \(0.498303\pi\) | |||||||
\(284\) | −13.1712 | + | 12.5679i | −0.781566 | + | 0.745769i | ||||
\(285\) | 22.7922 | + | 23.9986i | 1.35009 | + | 1.42155i | ||||
\(286\) | −4.09155 | − | 10.2148i | −0.241939 | − | 0.604013i | ||||
\(287\) | 1.23975 | − | 2.14731i | 0.0731801 | − | 0.126752i | ||||
\(288\) | 6.85119 | − | 15.5261i | 0.403710 | − | 0.914887i | ||||
\(289\) | −7.59501 | − | 13.1549i | −0.446765 | − | 0.773820i | ||||
\(290\) | 23.4411 | − | 29.8190i | 1.37651 | − | 1.75103i | ||||
\(291\) | −0.721446 | − | 11.7179i | −0.0422919 | − | 0.686915i | ||||
\(292\) | 5.89289 | + | 24.2520i | 0.344855 | + | 1.41924i | ||||
\(293\) | −1.87431 | − | 5.14962i | −0.109498 | − | 0.300844i | 0.872826 | − | 0.488032i | \(-0.162285\pi\) |
−0.982324 | + | 0.187188i | \(0.940063\pi\) | |||||||
\(294\) | 8.25568 | − | 0.773388i | 0.481481 | − | 0.0451049i | ||||
\(295\) | 15.0176 | − | 2.64801i | 0.874358 | − | 0.154173i | ||||
\(296\) | 3.95154 | − | 2.81716i | 0.229679 | − | 0.163744i | ||||
\(297\) | 15.2320 | − | 5.71606i | 0.883852 | − | 0.331679i | ||||
\(298\) | 21.6482 | + | 7.10556i | 1.25405 | + | 0.411614i | ||||
\(299\) | 0.929222 | + | 5.26988i | 0.0537383 | + | 0.304765i | ||||
\(300\) | 15.0917 | + | 13.9846i | 0.871320 | + | 0.807402i | ||||
\(301\) | 3.48079 | − | 1.26690i | 0.200629 | − | 0.0730231i | ||||
\(302\) | −8.77474 | − | 14.1364i | −0.504929 | − | 0.813458i | ||||
\(303\) | 11.2883 | + | 17.0398i | 0.648497 | + | 0.978913i | ||||
\(304\) | −23.0841 | − | 1.08267i | −1.32397 | − | 0.0620955i | ||||
\(305\) | −3.27080 | + | 1.88840i | −0.187285 | + | 0.108129i | ||||
\(306\) | 2.05714 | − | 5.32427i | 0.117599 | − | 0.304369i | ||||
\(307\) | −27.0184 | − | 15.5991i | −1.54202 | − | 0.890287i | −0.998711 | − | 0.0507556i | \(-0.983837\pi\) |
−0.543311 | − | 0.839531i | \(-0.682830\pi\) | |||||||
\(308\) | −1.28728 | − | 20.1389i | −0.0733494 | − | 1.14752i | ||||
\(309\) | 4.64370 | + | 19.3081i | 0.264171 | + | 1.09840i | ||||
\(310\) | 17.2831 | + | 9.25600i | 0.981617 | + | 0.525706i | ||||
\(311\) | 1.72377 | − | 9.77599i | 0.0977461 | − | 0.554346i | −0.896125 | − | 0.443802i | \(-0.853630\pi\) |
0.993871 | − | 0.110544i | \(-0.0352594\pi\) | |||||||
\(312\) | 3.96543 | + | 11.5105i | 0.224498 | + | 0.651651i | ||||
\(313\) | 7.70712 | − | 6.46704i | 0.435632 | − | 0.365539i | −0.398440 | − | 0.917195i | \(-0.630448\pi\) |
0.834072 | + | 0.551656i | \(0.186004\pi\) | |||||||
\(314\) | 2.74978 | + | 3.07236i | 0.155179 | + | 0.173384i | ||||
\(315\) | 21.7888 | − | 23.4034i | 1.22766 | − | 1.31863i | ||||
\(316\) | −18.7427 | − | 2.08333i | −1.05436 | − | 0.117196i | ||||
\(317\) | −3.97784 | + | 10.9290i | −0.223418 | + | 0.613835i | −0.999866 | − | 0.0163452i | \(-0.994797\pi\) |
0.776449 | + | 0.630181i | \(0.217019\pi\) | |||||||
\(318\) | 4.10176 | + | 4.05170i | 0.230016 | + | 0.227208i | ||||
\(319\) | −16.3199 | + | 19.4493i | −0.913741 | + | 1.08895i | ||||
\(320\) | −26.4561 | + | 0.448905i | −1.47894 | + | 0.0250945i | ||||
\(321\) | −5.12210 | + | 6.92797i | −0.285888 | + | 0.386682i | ||||
\(322\) | −1.39484 | + | 9.71399i | −0.0777316 | + | 0.541340i | ||||
\(323\) | −7.77263 | −0.432481 | ||||||||
\(324\) | −17.1431 | + | 5.48753i | −0.952396 | + | 0.304863i | ||||
\(325\) | −14.7601 | −0.818742 | ||||||||
\(326\) | −1.18025 | + | 8.21952i | −0.0653681 | + | 0.455237i | ||||
\(327\) | 15.2402 | − | 20.6133i | 0.842782 | − | 1.13992i | ||||
\(328\) | 1.79318 | + | 1.23306i | 0.0990118 | + | 0.0680845i | ||||
\(329\) | −6.07922 | + | 7.24493i | −0.335158 | + | 0.399426i | ||||
\(330\) | −18.0466 | − | 17.8263i | −0.993431 | − | 0.981305i | ||||
\(331\) | −12.1348 | + | 33.3401i | −0.666990 | + | 1.83254i | −0.124996 | + | 0.992157i | \(0.539892\pi\) |
−0.541994 | + | 0.840382i | \(0.682330\pi\) | |||||||
\(332\) | 1.09808 | − | 9.87892i | 0.0602652 | − | 0.542176i | ||||
\(333\) | −5.01633 | − | 1.15385i | −0.274893 | − | 0.0632303i | ||||
\(334\) | 14.1051 | + | 15.7598i | 0.771798 | + | 0.862340i | ||||
\(335\) | −36.0510 | + | 30.2504i | −1.96968 | + | 1.65276i | ||||
\(336\) | 0.326485 | + | 22.3244i | 0.0178112 | + | 1.21790i | ||||
\(337\) | 5.38292 | − | 30.5280i | 0.293226 | − | 1.66297i | −0.381099 | − | 0.924534i | \(-0.624454\pi\) |
0.674325 | − | 0.738434i | \(-0.264435\pi\) | |||||||
\(338\) | 8.50784 | + | 4.55638i | 0.462766 | + | 0.247835i | ||||
\(339\) | −4.11567 | − | 17.1126i | −0.223533 | − | 0.929427i | ||||
\(340\) | −8.88138 | + | 0.567697i | −0.481660 | + | 0.0307877i | ||||
\(341\) | −11.3654 | − | 6.56179i | −0.615469 | − | 0.355341i | ||||
\(342\) | 15.3839 | + | 19.0825i | 0.831865 | + | 1.03186i | ||||
\(343\) | 10.0886 | − | 5.82464i | 0.544732 | − | 0.314501i | ||||
\(344\) | 0.868057 | + | 3.13307i | 0.0468025 | + | 0.168924i | ||||
\(345\) | 6.81274 | + | 10.2839i | 0.366786 | + | 0.553667i | ||||
\(346\) | −13.8196 | − | 22.2638i | −0.742946 | − | 1.19691i | ||||
\(347\) | 24.4947 | − | 8.91533i | 1.31494 | − | 0.478600i | 0.413108 | − | 0.910682i | \(-0.364443\pi\) |
0.901834 | + | 0.432082i | \(0.142221\pi\) | |||||||
\(348\) | 19.0927 | − | 20.6042i | 1.02348 | − | 1.10450i | ||||
\(349\) | 4.05398 | + | 22.9913i | 0.217005 | + | 1.23069i | 0.877394 | + | 0.479771i | \(0.159280\pi\) |
−0.660389 | + | 0.750924i | \(0.729609\pi\) | |||||||
\(350\) | −25.7188 | − | 8.44166i | −1.37473 | − | 0.451226i | ||||
\(351\) | 6.34498 | − | 11.2465i | 0.338670 | − | 0.600293i | ||||
\(352\) | 17.7097 | + | 0.264784i | 0.943931 | + | 0.0141131i | ||||
\(353\) | −8.13236 | + | 1.43395i | −0.432842 | + | 0.0763217i | −0.385824 | − | 0.922572i | \(-0.626083\pi\) |
−0.0470178 | + | 0.998894i | \(0.514972\pi\) | |||||||
\(354\) | 11.2442 | − | 1.05335i | 0.597623 | − | 0.0559850i | ||||
\(355\) | −10.2972 | − | 28.2912i | −0.546517 | − | 1.50154i | ||||
\(356\) | 13.3825 | − | 3.25175i | 0.709270 | − | 0.172342i | ||||
\(357\) | 0.461463 | + | 7.49519i | 0.0244232 | + | 0.396687i | ||||
\(358\) | 3.93170 | − | 5.00146i | 0.207797 | − | 0.264335i | ||||
\(359\) | 15.4150 | + | 26.6995i | 0.813571 | + | 1.40915i | 0.910350 | + | 0.413840i | \(0.135813\pi\) |
−0.0967792 | + | 0.995306i | \(0.530854\pi\) | |||||||
\(360\) | 18.9721 | + | 20.6810i | 0.999917 | + | 1.08998i | ||||
\(361\) | 7.18904 | − | 12.4518i | 0.378371 | − | 0.655357i | ||||
\(362\) | 11.6748 | + | 29.1467i | 0.613613 | + | 1.53192i | ||||
\(363\) | −1.42745 | − | 1.50300i | −0.0749215 | − | 0.0788870i | ||||
\(364\) | −11.0571 | − | 11.5879i | −0.579551 | − | 0.607369i | ||||
\(365\) | −40.6466 | − | 7.16710i | −2.12754 | − | 0.375143i | ||||
\(366\) | −2.52768 | + | 1.19763i | −0.132124 | + | 0.0626010i | ||||
\(367\) | 7.90487 | + | 9.42065i | 0.412631 | + | 0.491754i | 0.931828 | − | 0.362900i | \(-0.118213\pi\) |
−0.519197 | + | 0.854654i | \(0.673769\pi\) | |||||||
\(368\) | −8.40304 | − | 1.89144i | −0.438039 | − | 0.0985979i | ||||
\(369\) | −0.283153 | − | 2.29080i | −0.0147403 | − | 0.119254i | ||||
\(370\) | 1.64512 | + | 7.85511i | 0.0855258 | + | 0.408368i | ||||
\(371\) | −7.12773 | − | 2.59428i | −0.370053 | − | 0.134688i | ||||
\(372\) | 12.2021 | + | 7.86960i | 0.632650 | + | 0.408020i | ||||
\(373\) | −8.36649 | − | 7.02032i | −0.433200 | − | 0.363498i | 0.399957 | − | 0.916534i | \(-0.369025\pi\) |
−0.833158 | + | 0.553035i | \(0.813469\pi\) | |||||||
\(374\) | 5.95410 | − | 0.190099i | 0.307879 | − | 0.00982978i | ||||
\(375\) | −4.93478 | + | 2.14807i | −0.254831 | + | 0.110926i | ||||
\(376\) | −5.91913 | − | 5.81954i | −0.305256 | − | 0.300120i | ||||
\(377\) | 20.1515i | 1.03785i | ||||||||
\(378\) | 17.4880 | − | 15.9677i | 0.899486 | − | 0.821288i | ||||
\(379\) | − | 33.4481i | − | 1.71811i | −0.511880 | − | 0.859057i | \(-0.671051\pi\) | ||
0.511880 | − | 0.859057i | \(-0.328949\pi\) | |||||||
\(380\) | 16.9584 | − | 34.2486i | 0.869949 | − | 1.75692i | ||||
\(381\) | −1.33093 | + | 11.7235i | −0.0681855 | + | 0.600613i | ||||
\(382\) | 0.0149391 | + | 0.467910i | 0.000764353 | + | 0.0239404i | ||||
\(383\) | 24.5248 | + | 20.5787i | 1.25316 | + | 1.05152i | 0.996376 | + | 0.0850541i | \(0.0271063\pi\) |
0.256781 | + | 0.966470i | \(0.417338\pi\) | |||||||
\(384\) | −19.5556 | − | 1.25641i | −0.997942 | − | 0.0641158i | ||||
\(385\) | 31.3599 | + | 11.4141i | 1.59825 | + | 0.581715i | ||||
\(386\) | 19.3199 | − | 4.04624i | 0.983359 | − | 0.205948i | ||||
\(387\) | 1.87575 | − | 2.89352i | 0.0953498 | − | 0.147086i | ||||
\(388\) | −12.4170 | + | 5.43968i | −0.630379 | + | 0.276158i | ||||
\(389\) | 19.4388 | + | 23.1663i | 0.985588 | + | 1.17458i | 0.984643 | + | 0.174579i | \(0.0558565\pi\) |
0.000945326 | 1.00000i | \(0.499699\pi\) | ||||||||
\(390\) | −20.0671 | − | 1.63154i | −1.01614 | − | 0.0826164i | ||||
\(391\) | −2.85297 | − | 0.503056i | −0.144281 | − | 0.0254406i | ||||
\(392\) | −4.11986 | − | 8.64288i | −0.208084 | − | 0.436531i | ||||
\(393\) | 10.1908 | − | 34.4548i | 0.514060 | − | 1.73801i | ||||
\(394\) | −9.13172 | + | 3.65773i | −0.460050 | + | 0.184274i | ||||
\(395\) | 15.5932 | − | 27.0083i | 0.784581 | − | 1.35893i | ||||
\(396\) | −12.2513 | − | 14.2416i | −0.615650 | − | 0.715667i | ||||
\(397\) | 1.26408 | + | 2.18945i | 0.0634424 | + | 0.109885i | 0.896002 | − | 0.444050i | \(-0.146459\pi\) |
−0.832560 | + | 0.553935i | \(0.813125\pi\) | |||||||
\(398\) | 15.3118 | + | 12.0368i | 0.767509 | + | 0.603348i | ||||
\(399\) | −28.8653 | − | 14.3771i | −1.44507 | − | 0.719758i | ||||
\(400\) | 9.16269 | − | 21.9199i | 0.458134 | − | 1.09600i | ||||
\(401\) | 0.174473 | + | 0.479359i | 0.00871274 | + | 0.0239381i | 0.943973 | − | 0.330023i | \(-0.107057\pi\) |
−0.935260 | + | 0.353961i | \(0.884834\pi\) | |||||||
\(402\) | −28.4267 | + | 20.1658i | −1.41779 | + | 1.00578i | ||||
\(403\) | −10.2579 | + | 1.80875i | −0.510984 | + | 0.0901002i | ||||
\(404\) | 13.9867 | − | 19.0109i | 0.695864 | − | 0.945828i | ||||
\(405\) | 3.06372 | − | 29.6093i | 0.152237 | − | 1.47130i | ||||
\(406\) | −11.5251 | + | 35.1131i | −0.571982 | + | 1.74263i | ||||
\(407\) | −0.932858 | − | 5.29050i | −0.0462401 | − | 0.262240i | ||||
\(408\) | −6.58989 | − | 0.113970i | −0.326248 | − | 0.00564237i | ||||
\(409\) | −24.4824 | + | 8.91086i | −1.21058 | + | 0.440614i | −0.866904 | − | 0.498476i | \(-0.833893\pi\) |
−0.343672 | + | 0.939090i | \(0.611671\pi\) | |||||||
\(410\) | −3.05774 | + | 1.89800i | −0.151011 | + | 0.0937355i | ||||
\(411\) | −8.30194 | + | 16.6680i | −0.409505 | + | 0.822171i | ||||
\(412\) | 19.0868 | − | 12.7088i | 0.940339 | − | 0.626118i | ||||
\(413\) | −12.8673 | + | 7.42893i | −0.633158 | + | 0.365554i | ||||
\(414\) | 4.41166 | + | 7.99997i | 0.216821 | + | 0.393177i | ||||
\(415\) | 14.2356 | + | 8.21891i | 0.698796 | + | 0.403450i | ||||
\(416\) | 10.9027 | − | 8.87414i | 0.534551 | − | 0.435091i | ||||
\(417\) | −20.3683 | − | 6.02441i | −0.997439 | − | 0.295017i | ||||
\(418\) | −12.0774 | + | 22.5514i | −0.590725 | + | 1.10302i | ||||
\(419\) | 0.510419 | − | 2.89473i | 0.0249356 | − | 0.141417i | −0.969798 | − | 0.243908i | \(-0.921570\pi\) |
0.994734 | + | 0.102492i | \(0.0326815\pi\) | |||||||
\(420\) | −34.0329 | − | 14.3197i | −1.66064 | − | 0.698732i | ||||
\(421\) | 28.4621 | − | 23.8826i | 1.38716 | − | 1.16396i | 0.420684 | − | 0.907207i | \(-0.361790\pi\) |
0.966476 | − | 0.256758i | \(-0.0826542\pi\) | |||||||
\(422\) | −3.14338 | + | 2.81334i | −0.153017 | + | 0.136951i | ||||
\(423\) | −0.453682 | + | 8.79262i | −0.0220588 | + | 0.427512i | ||||
\(424\) | 2.76225 | − | 6.05730i | 0.134147 | − | 0.294169i | ||||
\(425\) | 2.73299 | − | 7.50882i | 0.132569 | − | 0.364231i | ||||
\(426\) | −5.90298 | − | 21.5012i | −0.286000 | − | 1.04174i | ||||
\(427\) | 2.36536 | − | 2.81893i | 0.114468 | − | 0.136418i | ||||
\(428\) | 9.54675 | + | 2.79938i | 0.461459 | + | 0.135313i | ||||
\(429\) | 13.3908 | + | 1.52021i | 0.646513 | + | 0.0733964i | ||||
\(430\) | −5.32191 | − | 0.764180i | −0.256645 | − | 0.0368520i | ||||
\(431\) | 4.47060 | 0.215341 | 0.107671 | − | 0.994187i | \(-0.465661\pi\) | ||||
0.107671 | + | 0.994187i | \(0.465661\pi\) | |||||||
\(432\) | 12.7631 | + | 16.4043i | 0.614067 | + | 0.789254i | ||||
\(433\) | −12.4529 | −0.598448 | −0.299224 | − | 0.954183i | \(-0.596728\pi\) | ||||
−0.299224 | + | 0.954183i | \(0.596728\pi\) | |||||||
\(434\) | −18.9085 | − | 2.71509i | −0.907636 | − | 0.130329i | ||||
\(435\) | 18.5408 | + | 42.5938i | 0.888962 | + | 2.04222i | ||||
\(436\) | −28.4051 | − | 8.32919i | −1.36036 | − | 0.398896i | ||||
\(437\) | 7.99663 | − | 9.53001i | 0.382530 | − | 0.455882i | ||||
\(438\) | −29.5733 | − | 7.72983i | −1.41307 | − | 0.369346i | ||||
\(439\) | −2.78433 | + | 7.64989i | −0.132889 | + | 0.365109i | −0.988234 | − | 0.152949i | \(-0.951123\pi\) |
0.855345 | + | 0.518059i | \(0.173345\pi\) | |||||||
\(440\) | −12.1531 | + | 26.6504i | −0.579377 | + | 1.27051i | ||||
\(441\) | −3.96047 | + | 9.35128i | −0.188594 | + | 0.445299i | ||||
\(442\) | 3.52316 | − | 3.15324i | 0.167580 | − | 0.149984i | ||||
\(443\) | −24.2213 | + | 20.3241i | −1.15079 | + | 0.965626i | −0.999738 | − | 0.0229004i | \(-0.992710\pi\) |
−0.151050 | + | 0.988526i | \(0.548266\pi\) | |||||||
\(444\) | 0.742926 | + | 5.89701i | 0.0352577 | + | 0.279859i | ||||
\(445\) | −3.95486 | + | 22.4291i | −0.187479 | + | 1.06324i | ||||
\(446\) | 0.678590 | − | 1.26709i | 0.0321322 | − | 0.0599983i | ||||
\(447\) | −20.2340 | + | 19.2169i | −0.957034 | + | 0.908926i | ||||
\(448\) | 24.0729 | − | 9.22728i | 1.13734 | − | 0.435948i | ||||
\(449\) | 14.0496 | + | 8.11155i | 0.663042 | + | 0.382808i | 0.793435 | − | 0.608655i | \(-0.208291\pi\) |
−0.130393 | + | 0.991462i | \(0.541624\pi\) | |||||||
\(450\) | −23.8440 | + | 8.15200i | −1.12402 | + | 0.384289i | ||||
\(451\) | 2.08629 | − | 1.20452i | 0.0982394 | − | 0.0567185i | ||||
\(452\) | −16.9165 | + | 11.2637i | −0.795684 | + | 0.529800i | ||||
\(453\) | 20.3392 | − | 1.25224i | 0.955618 | − | 0.0588354i | ||||
\(454\) | 21.1525 | − | 13.1298i | 0.992736 | − | 0.616211i | ||||
\(455\) | 24.8903 | − | 9.05934i | 1.16688 | − | 0.424708i | ||||
\(456\) | 14.5734 | − | 24.2630i | 0.682460 | − | 1.13622i | ||||
\(457\) | 0.612177 | + | 3.47183i | 0.0286364 | + | 0.162405i | 0.995772 | − | 0.0918543i | \(-0.0292794\pi\) |
−0.967136 | + | 0.254259i | \(0.918168\pi\) | |||||||
\(458\) | −4.83411 | + | 14.7279i | −0.225883 | + | 0.688188i | ||||
\(459\) | 4.54652 | + | 5.31025i | 0.212213 | + | 0.247861i | ||||
\(460\) | 8.44127 | − | 11.4735i | 0.393576 | − | 0.534954i | ||||
\(461\) | −2.72997 | + | 0.481368i | −0.127147 | + | 0.0224195i | −0.236860 | − | 0.971544i | \(-0.576118\pi\) |
0.109712 | + | 0.993963i | \(0.465007\pi\) | |||||||
\(462\) | 22.4634 | + | 10.3074i | 1.04509 | + | 0.479544i | ||||
\(463\) | −8.26603 | − | 22.7107i | −0.384155 | − | 1.05546i | −0.969589 | − | 0.244737i | \(-0.921298\pi\) |
0.585435 | − | 0.810720i | \(-0.300924\pi\) | |||||||
\(464\) | −29.9266 | − | 12.5095i | −1.38931 | − | 0.580740i | ||||
\(465\) | −20.0178 | + | 13.2611i | −0.928304 | + | 0.614970i | ||||
\(466\) | −6.55014 | − | 5.14914i | −0.303429 | − | 0.238529i | ||||
\(467\) | −17.5430 | − | 30.3853i | −0.811793 | − | 1.40607i | −0.911608 | − | 0.411060i | \(-0.865159\pi\) |
0.0998155 | − | 0.995006i | \(-0.468175\pi\) | |||||||
\(468\) | −14.7147 | − | 2.40866i | −0.680185 | − | 0.111340i | ||||
\(469\) | 22.9267 | − | 39.7102i | 1.05866 | − | 1.83365i | ||||
\(470\) | 12.7431 | − | 5.10429i | 0.587797 | − | 0.235443i | ||||
\(471\) | −4.90985 | + | 1.18085i | −0.226234 | + | 0.0544106i | ||||
\(472\) | −5.61123 | − | 11.7716i | −0.258278 | − | 0.541830i | ||||
\(473\) | 3.54423 | + | 0.624944i | 0.162964 | + | 0.0287350i | ||||
\(474\) | 13.1311 | − | 19.0004i | 0.603132 | − | 0.872718i | ||||
\(475\) | 22.0570 | + | 26.2865i | 1.01204 | + | 1.20611i | ||||
\(476\) | 7.94238 | − | 3.47941i | 0.364038 | − | 0.159479i | ||||
\(477\) | −6.75103 | + | 2.06996i | −0.309108 | + | 0.0947769i | ||||
\(478\) | 1.67642 | − | 0.351099i | 0.0766778 | − | 0.0160589i | ||||
\(479\) | −25.9687 | − | 9.45185i | −1.18654 | − | 0.431866i | −0.328034 | − | 0.944666i | \(-0.606386\pi\) |
−0.858508 | + | 0.512800i | \(0.828608\pi\) | |||||||
\(480\) | 14.8801 | − | 28.7884i | 0.679180 | − | 1.31401i | ||||
\(481\) | −3.26629 | − | 2.74074i | −0.148930 | − | 0.124967i | ||||
\(482\) | −1.08687 | − | 34.0419i | −0.0495055 | − | 1.55056i | ||||
\(483\) | −9.66459 | − | 7.14538i | −0.439754 | − | 0.325126i | ||||
\(484\) | −1.06208 | + | 2.14495i | −0.0482766 | + | 0.0974975i | ||||
\(485\) | − | 22.4186i | − | 1.01798i | ||||||
\(486\) | 4.03850 | − | 21.6723i | 0.183190 | − | 0.983077i | ||||
\(487\) | 23.0253i | 1.04338i | 0.853136 | + | 0.521688i | \(0.174698\pi\) | ||||
−0.853136 | + | 0.521688i | \(0.825302\pi\) | |||||||
\(488\) | 2.30307 | + | 2.26433i | 0.104255 | + | 0.102501i | ||||
\(489\) | −8.17772 | − | 6.04609i | −0.369809 | − | 0.273414i | ||||
\(490\) | 15.8258 | − | 0.505278i | 0.714939 | − | 0.0228261i | ||||
\(491\) | 10.9997 | + | 9.22988i | 0.496412 | + | 0.416539i | 0.856317 | − | 0.516450i | \(-0.172747\pi\) |
−0.359906 | + | 0.932989i | \(0.617191\pi\) | |||||||
\(492\) | −2.37099 | + | 1.21750i | −0.106892 | + | 0.0548893i | ||||
\(493\) | −10.2515 | − | 3.73126i | −0.461706 | − | 0.168047i | ||||
\(494\) | 4.16208 | + | 19.8731i | 0.187261 | + | 0.894131i | ||||
\(495\) | 29.7025 | − | 9.10721i | 1.33503 | − | 0.409339i | ||||
\(496\) | 3.68172 | − | 16.3567i | 0.165314 | − | 0.734437i | ||||
\(497\) | 18.8556 | + | 22.4713i | 0.845790 | + | 1.00797i | ||||
\(498\) | 10.0148 | + | 6.92116i | 0.448773 | + | 0.310145i | ||||
\(499\) | −13.0653 | − | 2.30376i | −0.584881 | − | 0.103130i | −0.126625 | − | 0.991951i | \(-0.540415\pi\) |
−0.458256 | + | 0.888820i | \(0.651526\pi\) | |||||||
\(500\) | 4.29024 | + | 4.49617i | 0.191865 | + | 0.201075i | ||||
\(501\) | −25.1853 | + | 6.05722i | −1.12520 | + | 0.270616i | ||||
\(502\) | −9.83410 | − | 24.5514i | −0.438917 | − | 1.09578i | ||||
\(503\) | −7.87140 | + | 13.6337i | −0.350969 | + | 0.607895i | −0.986419 | − | 0.164246i | \(-0.947481\pi\) |
0.635451 | + | 0.772141i | \(0.280814\pi\) | |||||||
\(504\) | −24.2621 | − | 12.6127i | −1.08072 | − | 0.561813i | ||||
\(505\) | 19.5156 | + | 33.8021i | 0.868434 | + | 1.50417i | ||||
\(506\) | −5.89261 | + | 7.49589i | −0.261958 | + | 0.333233i | ||||
\(507\) | −9.85403 | + | 6.52796i | −0.437633 | + | 0.289917i | ||||
\(508\) | 13.2389 | − | 3.21685i | 0.587379 | − | 0.142725i | ||||
\(509\) | 0.744660 | + | 2.04594i | 0.0330065 | + | 0.0906845i | 0.955101 | − | 0.296279i | \(-0.0957460\pi\) |
−0.922095 | + | 0.386964i | \(0.873524\pi\) | |||||||
\(510\) | 4.54564 | − | 9.90651i | 0.201284 | − | 0.438668i | ||||
\(511\) | 39.6034 | − | 6.98314i | 1.75195 | − | 0.308916i | ||||
\(512\) | 6.41068 | + | 21.7003i | 0.283315 | + | 0.959027i | ||||
\(513\) | −29.5108 | + | 5.50649i | −1.30293 | + | 0.243117i | ||||
\(514\) | 17.5979 | + | 5.77613i | 0.776210 | + | 0.254774i | ||||
\(515\) | 6.58502 | + | 37.3455i | 0.290171 | + | 1.64564i | ||||
\(516\) | −3.88252 | − | 0.883477i | −0.170919 | − | 0.0388929i | ||||
\(517\) | −8.63466 | + | 3.14276i | −0.379752 | + | 0.138218i | ||||
\(518\) | −4.12388 | − | 6.64371i | −0.181193 | − | 0.291908i | ||||
\(519\) | 32.0328 | − | 1.97219i | 1.40608 | − | 0.0865697i | ||||
\(520\) | 6.20728 | + | 22.4039i | 0.272207 | + | 0.982476i | ||||
\(521\) | 12.2960 | − | 7.09911i | 0.538698 | − | 0.311018i | −0.205853 | − | 0.978583i | \(-0.565997\pi\) |
0.744551 | + | 0.667565i | \(0.232663\pi\) | |||||||
\(522\) | 11.1297 | + | 32.5535i | 0.487132 | + | 1.42483i | ||||
\(523\) | −5.03668 | − | 2.90793i | −0.220239 | − | 0.127155i | 0.385822 | − | 0.922573i | \(-0.373918\pi\) |
−0.606061 | + | 0.795418i | \(0.707251\pi\) | |||||||
\(524\) | −41.4042 | + | 2.64655i | −1.80875 | + | 0.115615i | ||||
\(525\) | 24.0387 | − | 22.8303i | 1.04913 | − | 0.996396i | ||||
\(526\) | −0.934079 | − | 0.500247i | −0.0407278 | − | 0.0218118i | ||||
\(527\) | 0.979209 | − | 5.55337i | 0.0426550 | − | 0.241908i | ||||
\(528\) | −10.5703 | + | 18.9427i | −0.460013 | + | 0.824374i | ||||
\(529\) | −14.0670 | + | 11.8036i | −0.611610 | + | 0.513202i | ||||
\(530\) | 7.34239 | + | 8.20374i | 0.318933 | + | 0.356348i | ||||
\(531\) | −5.39415 | + | 12.7364i | −0.234086 | + | 0.552713i | ||||
\(532\) | −4.11364 | + | 37.0084i | −0.178349 | + | 1.60452i | ||||
\(533\) | 0.653959 | − | 1.79674i | 0.0283261 | − | 0.0778253i | ||||
\(534\) | −4.26539 | + | 16.3188i | −0.184581 | + | 0.706183i | ||||
\(535\) | −10.5755 | + | 12.6034i | −0.457221 | + | 0.544894i | ||||
\(536\) | 33.1613 | + | 22.8030i | 1.43235 | + | 0.984940i | ||||
\(537\) | 3.10978 | + | 7.14413i | 0.134197 | + | 0.308292i | ||||
\(538\) | 2.44182 | − | 17.0054i | 0.105274 | − | 0.733154i | ||||
\(539\) | −10.5989 | −0.456526 | ||||||||
\(540\) | −33.3182 | + | 8.44738i | −1.43379 | + | 0.363517i | ||||
\(541\) | 11.7222 | 0.503978 | 0.251989 | − | 0.967730i | \(-0.418915\pi\) | ||||
0.251989 | + | 0.967730i | \(0.418915\pi\) | |||||||
\(542\) | 0.634082 | − | 4.41588i | 0.0272362 | − | 0.189678i | ||||
\(543\) | −38.2091 | − | 4.33774i | −1.63971 | − | 0.186150i | ||||
\(544\) | 2.49574 | + | 7.18963i | 0.107004 | + | 0.308253i | ||||
\(545\) | 31.4662 | − | 37.4999i | 1.34786 | − | 1.60632i | ||||
\(546\) | 18.9166 | − | 5.19338i | 0.809555 | − | 0.222256i | ||||
\(547\) | −0.577207 | + | 1.58586i | −0.0246796 | + | 0.0678066i | −0.951421 | − | 0.307894i | \(-0.900376\pi\) |
0.926741 | + | 0.375701i | \(0.122598\pi\) | |||||||
\(548\) | 21.3701 | + | 2.37538i | 0.912887 | + | 0.101471i | ||||
\(549\) | 0.176523 | − | 3.42112i | 0.00753382 | − | 0.146010i | ||||
\(550\) | −17.5393 | − | 19.5969i | −0.747879 | − | 0.835615i | ||||
\(551\) | 35.8881 | − | 30.1137i | 1.52889 | − | 1.28289i | ||||
\(552\) | 6.91954 | − | 7.96259i | 0.294515 | − | 0.338910i | ||||
\(553\) | −5.27648 | + | 29.9244i | −0.224379 | + | 1.27251i | ||||
\(554\) | −41.3204 | − | 22.1292i | −1.75553 | − | 0.940178i | ||||
\(555\) | −9.42558 | − | 2.78785i | −0.400094 | − | 0.118337i | ||||
\(556\) | 1.56454 | + | 24.4765i | 0.0663511 | + | 1.03804i | ||||
\(557\) | 20.7520 | + | 11.9812i | 0.879289 | + | 0.507658i | 0.870424 | − | 0.492303i | \(-0.163845\pi\) |
0.00886525 | + | 0.999961i | \(0.497178\pi\) | |||||||
\(558\) | −15.5721 | + | 8.58738i | −0.659219 | + | 0.363533i | ||||
\(559\) | 2.47376 | − | 1.42822i | 0.104629 | − | 0.0604075i | ||||
\(560\) | −1.99742 | + | 42.5880i | −0.0844066 | + | 1.79967i | ||||
\(561\) | −3.25281 | + | 6.53073i | −0.137334 | + | 0.275728i | ||||
\(562\) | −14.1662 | − | 22.8222i | −0.597565 | − | 0.962698i | ||||
\(563\) | 4.17331 | − | 1.51896i | 0.175884 | − | 0.0640165i | −0.252577 | − | 0.967577i | \(-0.581278\pi\) |
0.428461 | + | 0.903560i | \(0.359056\pi\) | |||||||
\(564\) | 9.71272 | − | 3.00297i | 0.408979 | − | 0.126448i | ||||
\(565\) | −5.83624 | − | 33.0990i | −0.245533 | − | 1.39248i | ||||
\(566\) | 8.08761 | + | 2.65459i | 0.339948 | + | 0.111581i | ||||
\(567\) | 7.06199 | + | 28.1305i | 0.296576 | + | 1.18137i | ||||
\(568\) | −20.9640 | + | 14.9458i | −0.879630 | + | 0.627111i | ||||
\(569\) | −4.09535 | + | 0.722121i | −0.171686 | + | 0.0302729i | −0.258830 | − | 0.965923i | \(-0.583337\pi\) |
0.0871441 | + | 0.996196i | \(0.472226\pi\) | |||||||
\(570\) | 27.0819 | + | 38.1759i | 1.13434 | + | 1.59901i | ||||
\(571\) | −1.32069 | − | 3.62857i | −0.0552692 | − | 0.151851i | 0.908986 | − | 0.416827i | \(-0.136858\pi\) |
−0.964255 | + | 0.264976i | \(0.914636\pi\) | |||||||
\(572\) | −3.67434 | − | 15.1216i | −0.153632 | − | 0.632268i | ||||
\(573\) | −0.513225 | − | 0.255626i | −0.0214403 | − | 0.0106789i | ||||
\(574\) | 2.16709 | − | 2.75672i | 0.0904528 | − | 0.115063i | ||||
\(575\) | 6.39480 | + | 11.0761i | 0.266682 | + | 0.461906i | ||||
\(576\) | 12.7115 | − | 20.3572i | 0.529647 | − | 0.848218i | ||||
\(577\) | −19.9191 | + | 34.5009i | −0.829243 | + | 1.43629i | 0.0693894 | + | 0.997590i | \(0.477895\pi\) |
−0.898633 | + | 0.438702i | \(0.855438\pi\) | |||||||
\(578\) | −7.98768 | − | 19.9417i | −0.332244 | − | 0.829464i | ||||
\(579\) | −6.85681 | + | 23.1826i | −0.284959 | + | 0.963435i | ||||
\(580\) | 38.8080 | − | 37.0305i | 1.61142 | − | 1.53761i | ||||
\(581\) | −15.7726 | − | 2.78113i | −0.654357 | − | 0.115381i | ||||
\(582\) | 1.34546 | − | 16.5484i | 0.0557710 | − | 0.685952i | ||||
\(583\) | −4.73710 | − | 5.64545i | −0.196190 | − | 0.233811i | ||||
\(584\) | 3.37437 | + | 35.1339i | 0.139632 | + | 1.45385i | ||||
\(585\) | 13.4131 | − | 20.6909i | 0.554562 | − | 0.855463i | ||||
\(586\) | −1.58865 | − | 7.58547i | −0.0656265 | − | 0.313353i | ||||
\(587\) | 12.9776 | + | 4.72345i | 0.535642 | + | 0.194958i | 0.595656 | − | 0.803240i | \(-0.296892\pi\) |
−0.0600138 | + | 0.998198i | \(0.519114\pi\) | |||||||
\(588\) | 11.7122 | + | 0.576819i | 0.483004 | + | 0.0237876i | ||||
\(589\) | 18.5504 | + | 15.5656i | 0.764354 | + | 0.641369i | ||||
\(590\) | 21.5547 | − | 0.688186i | 0.887394 | − | 0.0283322i | ||||
\(591\) | 1.35902 | − | 11.9710i | 0.0559028 | − | 0.492420i | ||||
\(592\) | 6.09786 | − | 3.14933i | 0.250620 | − | 0.129436i | ||||
\(593\) | 28.4223i | 1.16716i | 0.812054 | + | 0.583582i | \(0.198349\pi\) | ||||
−0.812054 | + | 0.583582i | \(0.801651\pi\) | |||||||
\(594\) | 22.4716 | − | 4.93992i | 0.922021 | − | 0.202687i | ||||
\(595\) | 14.3398i | 0.587873i | ||||||||
\(596\) | 28.8761 | + | 14.2982i | 1.18281 | + | 0.585677i | ||||
\(597\) | −21.8715 | + | 9.52048i | −0.895139 | + | 0.389647i | ||||
\(598\) | 0.241494 | + | 7.56385i | 0.00987542 | + | 0.309309i | ||||
\(599\) | −21.1989 | − | 17.7880i | −0.866163 | − | 0.726797i | 0.0971235 | − | 0.995272i | \(-0.469036\pi\) |
−0.963287 | + | 0.268475i | \(0.913480\pi\) | |||||||
\(600\) | 18.3152 | + | 22.6100i | 0.747715 | + | 0.923049i | ||||
\(601\) | 4.29687 | + | 1.56393i | 0.175273 | + | 0.0637942i | 0.428166 | − | 0.903700i | \(-0.359160\pi\) |
−0.252893 | + | 0.967494i | \(0.581382\pi\) | |||||||
\(602\) | 5.12726 | − | 1.07382i | 0.208971 | − | 0.0437656i | ||||
\(603\) | −5.23634 | − | 42.3637i | −0.213240 | − | 1.72518i | ||||
\(604\) | −9.44185 | − | 21.5527i | −0.384183 | − | 0.876967i | ||||
\(605\) | −2.54430 | − | 3.03218i | −0.103440 | − | 0.123276i | ||||
\(606\) | 12.3769 | + | 26.1223i | 0.502777 | + | 1.06115i | ||||
\(607\) | −30.1218 | − | 5.31129i | −1.22261 | − | 0.215578i | −0.475159 | − | 0.879900i | \(-0.657609\pi\) |
−0.747447 | + | 0.664322i | \(0.768721\pi\) | |||||||
\(608\) | −32.0968 | − | 6.15566i | −1.30170 | − | 0.249645i | ||||
\(609\) | −31.1695 | − | 32.8192i | −1.26305 | − | 1.32990i | ||||
\(610\) | −4.95823 | + | 1.98603i | −0.200753 | + | 0.0804119i | ||||
\(611\) | −3.64657 | + | 6.31605i | −0.147525 | + | 0.255520i | ||||
\(612\) | 3.94992 | − | 7.03972i | 0.159666 | − | 0.284564i | ||||
\(613\) | 8.14531 | + | 14.1081i | 0.328986 | + | 0.569820i | 0.982311 | − | 0.187257i | \(-0.0599598\pi\) |
−0.653325 | + | 0.757078i | \(0.726626\pi\) | |||||||
\(614\) | −34.6864 | − | 27.2674i | −1.39983 | − | 1.10042i | ||||
\(615\) | −0.270863 | − | 4.39942i | −0.0109223 | − | 0.177402i | ||||
\(616\) | 2.24606 | − | 28.4503i | 0.0904962 | − | 1.14630i | ||||
\(617\) | 1.54040 | + | 4.23222i | 0.0620143 | + | 0.170383i | 0.966830 | − | 0.255420i | \(-0.0822138\pi\) |
−0.904816 | + | 0.425803i | \(0.859992\pi\) | |||||||
\(618\) | 2.61946 | + | 27.9619i | 0.105370 | + | 1.12479i | ||||
\(619\) | −10.0452 | + | 1.77124i | −0.403751 | + | 0.0711922i | −0.371836 | − | 0.928298i | \(-0.621272\pi\) |
−0.0319149 | + | 0.999491i | \(0.510161\pi\) | |||||||
\(620\) | 22.3334 | + | 16.4311i | 0.896930 | + | 0.659889i | ||||
\(621\) | −11.1884 | + | 0.111195i | −0.448976 | + | 0.00446209i | ||||
\(622\) | 4.37807 | − | 13.3385i | 0.175545 | − | 0.534825i | ||||
\(623\) | −3.85336 | − | 21.8535i | −0.154381 | − | 0.875541i | ||||
\(624\) | 3.23735 | + | 16.9101i | 0.129598 | + | 0.676944i | ||||
\(625\) | 18.2488 | − | 6.64202i | 0.729952 | − | 0.265681i | ||||
\(626\) | 12.0888 | − | 7.50374i | 0.483165 | − | 0.299910i | ||||
\(627\) | −17.3034 | − | 26.1196i | −0.691030 | − | 1.04312i | ||||
\(628\) | 3.23173 | + | 4.85359i | 0.128960 | + | 0.193679i | ||||
\(629\) | 1.99907 | − | 1.15416i | 0.0797082 | − | 0.0460196i | ||||
\(630\) | 35.2054 | − | 28.3818i | 1.40262 | − | 1.13076i | ||||
\(631\) | −22.3687 | − | 12.9146i | −0.890484 | − | 0.514121i | −0.0163832 | − | 0.999866i | \(-0.505215\pi\) |
−0.874101 | + | 0.485745i | \(0.838548\pi\) | |||||||
\(632\) | −25.8183 | − | 6.68377i | −1.02700 | − | 0.265866i | ||||
\(633\) | −1.20814 | − | 5.02334i | −0.0480193 | − | 0.199660i | ||||
\(634\) | −7.76521 | + | 14.4995i | −0.308396 | + | 0.575848i | ||||
\(635\) | −3.91242 | + | 22.1884i | −0.155260 | + | 0.880521i | ||||
\(636\) | 4.92746 | + | 6.49628i | 0.195386 | + | 0.257594i | ||||
\(637\) | −6.44421 | + | 5.40733i | −0.255329 | + | 0.214246i | ||||
\(638\) | −26.7550 | + | 23.9459i | −1.05924 | + | 0.948026i | ||||
\(639\) | 26.6130 | + | 6.12146i | 1.05279 | + | 0.242161i | ||||
\(640\) | −37.1250 | − | 4.68946i | −1.46749 | − | 0.185367i | ||||
\(641\) | 8.84603 | − | 24.3043i | 0.349397 | − | 0.959960i | −0.633164 | − | 0.774018i | \(-0.718244\pi\) |
0.982561 | − | 0.185942i | \(-0.0595338\pi\) | |||||||
\(642\) | −8.56277 | + | 8.66858i | −0.337946 | + | 0.342122i | ||||
\(643\) | 26.9098 | − | 32.0698i | 1.06122 | − | 1.26471i | 0.0982307 | − | 0.995164i | \(-0.468682\pi\) |
0.962987 | − | 0.269547i | \(-0.0868739\pi\) | |||||||
\(644\) | −3.90516 | + | 13.3178i | −0.153885 | + | 0.524795i | ||||
\(645\) | 3.91467 | − | 5.29485i | 0.154140 | − | 0.208484i | ||||
\(646\) | −10.8806 | − | 1.56235i | −0.428090 | − | 0.0614700i | ||||
\(647\) | −1.81053 | −0.0711791 | −0.0355896 | − | 0.999366i | \(-0.511331\pi\) | ||||
−0.0355896 | + | 0.999366i | \(0.511331\pi\) | |||||||
\(648\) | −25.1009 | + | 4.23586i | −0.986058 | + | 0.166400i | ||||
\(649\) | −14.4356 | −0.566648 | ||||||||
\(650\) | −20.6620 | − | 2.96688i | −0.810430 | − | 0.116371i | ||||
\(651\) | 13.9086 | − | 18.8123i | 0.545122 | − | 0.737313i | ||||
\(652\) | −3.30436 | + | 11.2689i | −0.129409 | + | 0.441324i | ||||
\(653\) | 0.805175 | − | 0.959570i | 0.0315089 | − | 0.0375509i | −0.750060 | − | 0.661370i | \(-0.769975\pi\) |
0.781569 | + | 0.623819i | \(0.214420\pi\) | |||||||
\(654\) | 25.4774 | − | 25.7923i | 0.996246 | − | 1.00856i | ||||
\(655\) | 23.4666 | − | 64.4739i | 0.916916 | − | 2.51921i | ||||
\(656\) | 2.26234 | + | 2.08655i | 0.0883295 | + | 0.0814661i | ||||
\(657\) | 25.5096 | − | 27.4000i | 0.995223 | − | 1.06898i | ||||
\(658\) | −9.96631 | + | 8.91989i | −0.388527 | + | 0.347734i | ||||
\(659\) | 4.93871 | − | 4.14407i | 0.192385 | − | 0.161430i | −0.541507 | − | 0.840696i | \(-0.682146\pi\) |
0.733892 | + | 0.679266i | \(0.237702\pi\) | |||||||
\(660\) | −21.6794 | − | 28.5817i | −0.843869 | − | 1.11254i | ||||
\(661\) | 4.41939 | − | 25.0636i | 0.171894 | − | 0.974862i | −0.769773 | − | 0.638317i | \(-0.779631\pi\) |
0.941668 | − | 0.336544i | \(-0.109258\pi\) | |||||||
\(662\) | −23.6886 | + | 44.2322i | −0.920683 | + | 1.71913i | ||||
\(663\) | 1.35411 | + | 5.63026i | 0.0525893 | + | 0.218661i | ||||
\(664\) | 3.52289 | − | 13.6083i | 0.136715 | − | 0.528106i | ||||
\(665\) | −53.3293 | − | 30.7897i | −2.06802 | − | 1.19397i | ||||
\(666\) | −6.79021 | − | 2.62354i | −0.263115 | − | 0.101660i | ||||
\(667\) | 15.1219 | − | 8.73061i | 0.585521 | − | 0.338051i | ||||
\(668\) | 16.5773 | + | 24.8967i | 0.641395 | + | 0.963283i | ||||
\(669\) | 0.972220 | + | 1.46758i | 0.0375882 | + | 0.0567398i | ||||
\(670\) | −56.5468 | + | 35.0997i | −2.18459 | + | 1.35602i | ||||
\(671\) | 3.35966 | − | 1.22282i | 0.129698 | − | 0.0472063i | ||||
\(672\) | −4.03033 | + | 31.3166i | −0.155473 | + | 1.20806i | ||||
\(673\) | −0.177054 | − | 1.00413i | −0.00682494 | − | 0.0387062i | 0.981205 | − | 0.192968i | \(-0.0618113\pi\) |
−0.988030 | + | 0.154262i | \(0.950700\pi\) | |||||||
\(674\) | 13.6717 | − | 41.6529i | 0.526613 | − | 1.60441i | ||||
\(675\) | 5.05689 | − | 30.4453i | 0.194640 | − | 1.17184i | ||||
\(676\) | 10.9939 | + | 8.08842i | 0.422842 | + | 0.311093i | ||||
\(677\) | −13.0857 | + | 2.30736i | −0.502923 | + | 0.0886789i | −0.419353 | − | 0.907823i | \(-0.637743\pi\) |
−0.0835696 | + | 0.996502i | \(0.526632\pi\) | |||||||
\(678\) | −2.32160 | − | 24.7824i | −0.0891606 | − | 0.951762i | ||||
\(679\) | 7.47081 | + | 20.5259i | 0.286704 | + | 0.787711i | ||||
\(680\) | −12.5468 | − | 0.990526i | −0.481146 | − | 0.0379849i | ||||
\(681\) | 1.87375 | + | 30.4338i | 0.0718022 | + | 1.16623i | ||||
\(682\) | −14.5909 | − | 11.4701i | −0.558714 | − | 0.439212i | ||||
\(683\) | −19.4988 | − | 33.7729i | −0.746100 | − | 1.29228i | −0.949679 | − | 0.313225i | \(-0.898591\pi\) |
0.203579 | − | 0.979059i | \(-0.434743\pi\) | |||||||
\(684\) | 17.6995 | + | 29.8050i | 0.676757 | + | 1.13962i | ||||
\(685\) | −17.7792 | + | 30.7945i | −0.679308 | + | 1.17660i | ||||
\(686\) | 15.2933 | − | 6.12578i | 0.583902 | − | 0.233883i | ||||
\(687\) | −13.0738 | − | 13.7657i | −0.498795 | − | 0.525195i | ||||
\(688\) | 0.585384 | + | 4.56034i | 0.0223176 | + | 0.173861i | ||||
\(689\) | −5.76039 | − | 1.01571i | −0.219453 | − | 0.0386955i | ||||
\(690\) | 7.46972 | + | 15.7654i | 0.284367 | + | 0.600178i | ||||
\(691\) | 11.4631 | + | 13.6612i | 0.436077 | + | 0.519697i | 0.938665 | − | 0.344829i | \(-0.112063\pi\) |
−0.502588 | + | 0.864526i | \(0.667619\pi\) | |||||||
\(692\) | −14.8703 | − | 33.9440i | −0.565282 | − | 1.29036i | ||||
\(693\) | −24.1600 | + | 18.2365i | −0.917761 | + | 0.692745i | ||||
\(694\) | 36.0810 | − | 7.55658i | 1.36962 | − | 0.286844i | ||||
\(695\) | −38.1144 | − | 13.8725i | −1.44576 | − | 0.526214i | ||||
\(696\) | 30.8687 | − | 25.0051i | 1.17007 | − | 0.947817i | ||||
\(697\) | 0.792957 | + | 0.665370i | 0.0300354 | + | 0.0252027i | ||||
\(698\) | 1.05358 | + | 32.9993i | 0.0398787 | + | 1.24904i | ||||
\(699\) | 9.35627 | − | 4.07272i | 0.353887 | − | 0.154044i | ||||
\(700\) | −34.3058 | − | 16.9868i | −1.29664 | − | 0.642040i | ||||
\(701\) | − | 38.4308i | − | 1.45151i | −0.687952 | − | 0.725756i | \(-0.741490\pi\) | ||
0.687952 | − | 0.725756i | \(-0.258510\pi\) | |||||||
\(702\) | 11.1427 | − | 14.4681i | 0.420553 | − | 0.546062i | ||||
\(703\) | 9.91268i | 0.373864i | ||||||||
\(704\) | 24.7378 | + | 3.93044i | 0.932342 | + | 0.148134i | ||||
\(705\) | −1.89649 | + | 16.7052i | −0.0714259 | + | 0.629156i | ||||
\(706\) | −11.6724 | + | 0.372668i | −0.439295 | + | 0.0140255i | ||||
\(707\) | −29.1323 | − | 24.4449i | −1.09563 | − | 0.919344i | ||||
\(708\) | 15.9520 | + | 0.785625i | 0.599513 | + | 0.0295256i | ||||
\(709\) | 17.9465 | + | 6.53199i | 0.673995 | + | 0.245314i | 0.656267 | − | 0.754529i | \(-0.272135\pi\) |
0.0177278 | + | 0.999843i | \(0.494357\pi\) | |||||||
\(710\) | −8.72781 | − | 41.6734i | −0.327549 | − | 1.56398i | ||||
\(711\) | 12.8625 | + | 25.1937i | 0.482380 | + | 0.944836i | ||||
\(712\) | 19.3872 | − | 1.86201i | 0.726564 | − | 0.0697816i | ||||
\(713\) | 5.80154 | + | 6.91401i | 0.217269 | + | 0.258932i | ||||
\(714\) | −0.860603 | + | 10.5849i | −0.0322073 | + | 0.396131i | ||||
\(715\) | 25.3440 | + | 4.46883i | 0.947813 | + | 0.167125i | ||||
\(716\) | 6.50915 | − | 6.21102i | 0.243258 | − | 0.232117i | ||||
\(717\) | −0.594977 | + | 2.01159i | −0.0222198 | + | 0.0751243i | ||||
\(718\) | 16.2119 | + | 40.4740i | 0.605024 | + | 1.51047i | ||||
\(719\) | 1.55128 | − | 2.68689i | 0.0578529 | − | 0.100204i | −0.835648 | − | 0.549265i | \(-0.814908\pi\) |
0.893501 | + | 0.449060i | \(0.148241\pi\) | |||||||
\(720\) | 22.4012 | + | 32.7639i | 0.834842 | + | 1.22104i | ||||
\(721\) | −18.4741 | − | 31.9982i | −0.688013 | − | 1.19167i | ||||
\(722\) | 12.5665 | − | 15.9857i | 0.467677 | − | 0.594925i | ||||
\(723\) | 37.3387 | + | 18.5976i | 1.38864 | + | 0.691651i | ||||
\(724\) | 10.4843 | + | 43.1479i | 0.389647 | + | 1.60358i | ||||
\(725\) | 16.4727 | + | 45.2585i | 0.611782 | + | 1.68086i | ||||
\(726\) | −1.69611 | − | 2.39091i | −0.0629484 | − | 0.0887350i | ||||
\(727\) | −23.8610 | + | 4.20733i | −0.884954 | + | 0.156041i | −0.597611 | − | 0.801786i | \(-0.703883\pi\) |
−0.287343 | + | 0.957828i | \(0.592772\pi\) | |||||||
\(728\) | −13.1491 | − | 18.4439i | −0.487339 | − | 0.683577i | ||||
\(729\) | 21.0240 | + | 16.9408i | 0.778668 | + | 0.627436i | ||||
\(730\) | −55.4588 | − | 18.2032i | −2.05262 | − | 0.673729i | ||||
\(731\) | 0.268530 | + | 1.52291i | 0.00993196 | + | 0.0563269i | ||||
\(732\) | −3.77912 | + | 1.16842i | −0.139680 | + | 0.0431862i | ||||
\(733\) | −16.2983 | + | 5.93209i | −0.601991 | + | 0.219107i | −0.624995 | − | 0.780629i | \(-0.714899\pi\) |
0.0230044 | + | 0.999735i | \(0.492677\pi\) | |||||||
\(734\) | 9.17206 | + | 14.7765i | 0.338547 | + | 0.545410i | ||||
\(735\) | −8.64588 | + | 17.3585i | −0.318908 | + | 0.640278i | ||||
\(736\) | −11.3828 | − | 4.33681i | −0.419577 | − | 0.159857i | ||||
\(737\) | 38.5817 | − | 22.2751i | 1.42117 | − | 0.820515i | ||||
\(738\) | 0.0640935 | − | 3.26370i | 0.00235931 | − | 0.120139i | ||||
\(739\) | 31.8859 | + | 18.4094i | 1.17294 | + | 0.677199i | 0.954372 | − | 0.298622i | \(-0.0965269\pi\) |
0.218572 | + | 0.975821i | \(0.429860\pi\) | |||||||
\(740\) | 0.724001 | + | 11.3267i | 0.0266148 | + | 0.416378i | ||||
\(741\) | −23.8463 | − | 7.05312i | −0.876015 | − | 0.259103i | ||||
\(742\) | −9.45633 | − | 5.06434i | −0.347153 | − | 0.185918i | ||||
\(743\) | −4.95314 | + | 28.0906i | −0.181713 | + | 1.03055i | 0.748393 | + | 0.663255i | \(0.230826\pi\) |
−0.930106 | + | 0.367291i | \(0.880285\pi\) | |||||||
\(744\) | 15.4993 | + | 13.4690i | 0.568234 | + | 0.493798i | ||||
\(745\) | −40.8204 | + | 34.2524i | −1.49554 | + | 1.25491i | ||||
\(746\) | −10.3007 | − | 11.5092i | −0.377137 | − | 0.421380i | ||||
\(747\) | −13.2791 | + | 6.77956i | −0.485857 | + | 0.248051i | ||||
\(748\) | 8.37310 | + | 0.930705i | 0.306151 | + | 0.0340300i | ||||
\(749\) | 5.48270 | − | 15.0636i | 0.200334 | − | 0.550412i | ||||
\(750\) | −7.33976 | + | 2.01507i | −0.268010 | + | 0.0735798i | ||||
\(751\) | −19.3010 | + | 23.0020i | −0.704302 | + | 0.839355i | −0.993006 | − | 0.118064i | \(-0.962331\pi\) |
0.288704 | + | 0.957418i | \(0.406776\pi\) | |||||||
\(752\) | −7.11615 | − | 9.33631i | −0.259499 | − | 0.340460i | ||||
\(753\) | 32.1849 | + | 3.65384i | 1.17288 | + | 0.133153i | ||||
\(754\) | −4.05059 | + | 28.2091i | −0.147514 | + | 1.02732i | ||||
\(755\) | 38.9128 | 1.41618 | ||||||||
\(756\) | 27.6903 | − | 18.8372i | 1.00709 | − | 0.685103i | ||||
\(757\) | 1.80445 | 0.0655839 | 0.0327920 | − | 0.999462i | \(-0.489560\pi\) | ||||
0.0327920 | + | 0.999462i | \(0.489560\pi\) | |||||||
\(758\) | 6.72330 | − | 46.8225i | 0.244201 | − | 1.70067i | ||||
\(759\) | −4.66076 | − | 10.7072i | −0.169175 | − | 0.388647i | ||||
\(760\) | 30.6236 | − | 44.5343i | 1.11083 | − | 1.61543i | ||||
\(761\) | 6.56742 | − | 7.82675i | 0.238069 | − | 0.283719i | −0.633760 | − | 0.773530i | \(-0.718489\pi\) |
0.871829 | + | 0.489810i | \(0.162934\pi\) | |||||||
\(762\) | −4.21961 | + | 16.1437i | −0.152860 | + | 0.584823i | ||||
\(763\) | −16.3131 | + | 44.8198i | −0.590573 | + | 1.62259i | ||||
\(764\) | −0.0731406 | + | 0.658010i | −0.00264613 | + | 0.0238060i | ||||
\(765\) | 8.04239 | + | 10.6547i | 0.290773 | + | 0.385221i | ||||
\(766\) | 30.1947 | + | 33.7369i | 1.09098 | + | 1.21896i | ||||
\(767\) | −8.77698 | + | 7.36476i | −0.316918 | + | 0.265926i | ||||
\(768\) | −27.1225 | − | 5.68960i | −0.978698 | − | 0.205306i | ||||
\(769\) | −1.00744 | + | 5.71347i | −0.0363292 | + | 0.206033i | −0.997569 | − | 0.0696791i | \(-0.977802\pi\) |
0.961240 | + | 0.275712i | \(0.0889136\pi\) | |||||||
\(770\) | 41.6051 | + | 22.2816i | 1.49934 | + | 0.802974i | ||||
\(771\) | −16.4483 | + | 15.6214i | −0.592369 | + | 0.562592i | ||||
\(772\) | 27.8584 | − | 1.78071i | 1.00265 | − | 0.0640891i | ||||
\(773\) | 35.5486 | + | 20.5240i | 1.27859 | + | 0.738196i | 0.976590 | − | 0.215110i | \(-0.0690111\pi\) |
0.302004 | + | 0.953307i | \(0.402344\pi\) | |||||||
\(774\) | 3.20740 | − | 3.67347i | 0.115288 | − | 0.132040i | ||||
\(775\) | −21.5599 | + | 12.4476i | −0.774454 | + | 0.447131i | ||||
\(776\) | −18.4755 | + | 5.11885i | −0.663230 | + | 0.183756i | ||||
\(777\) | 9.55884 | − | 0.588518i | 0.342922 | − | 0.0211130i | ||||
\(778\) | 22.5550 | + | 36.3368i | 0.808635 | + | 1.30274i | ||||
\(779\) | −4.17710 | + | 1.52034i | −0.149660 | + | 0.0544718i | ||||
\(780\) | −27.7630 | − | 6.31755i | −0.994076 | − | 0.226204i | ||||
\(781\) | 4.94906 | + | 28.0675i | 0.177091 | + | 1.00433i | ||||
\(782\) | −3.89263 | − | 1.27767i | −0.139200 | − | 0.0456895i | ||||
\(783\) | −41.5660 | − | 6.90401i | −1.48545 | − | 0.246729i | ||||
\(784\) | −4.02993 | − | 12.9269i | −0.143926 | − | 0.461675i | ||||
\(785\) | −9.49661 | + | 1.67451i | −0.338948 | + | 0.0597657i | ||||
\(786\) | 21.1914 | − | 46.1833i | 0.755871 | − | 1.64730i | ||||
\(787\) | 15.0125 | + | 41.2465i | 0.535138 | + | 1.47028i | 0.852882 | + | 0.522103i | \(0.174852\pi\) |
−0.317745 | + | 0.948176i | \(0.602925\pi\) | |||||||
\(788\) | −13.5183 | + | 3.28476i | −0.481570 | + | 0.117015i | ||||
\(789\) | 1.08188 | − | 0.716707i | 0.0385158 | − | 0.0255154i | ||||
\(790\) | 27.2571 | − | 34.6734i | 0.969766 | − | 1.23362i | ||||
\(791\) | 16.3735 | + | 28.3597i | 0.582174 | + | 1.00835i | ||||
\(792\) | −14.2874 | − | 22.3988i | −0.507679 | − | 0.795906i | ||||
\(793\) | 1.41885 | − | 2.45751i | 0.0503847 | − | 0.0872689i | ||||
\(794\) | 1.32943 | + | 3.31900i | 0.0471799 | + | 0.117787i | ||||
\(795\) | −13.1102 | + | 3.15307i | −0.464969 | + | 0.111828i | ||||
\(796\) | 19.0148 | + | 19.9275i | 0.673961 | + | 0.706311i | ||||
\(797\) | 33.4033 | + | 5.88991i | 1.18321 | + | 0.208631i | 0.730427 | − | 0.682991i | \(-0.239321\pi\) |
0.452780 | + | 0.891622i | \(0.350432\pi\) | |||||||
\(798\) | −37.5173 | − | 25.9281i | −1.32810 | − | 0.917843i | ||||
\(799\) | −2.53793 | − | 3.02459i | −0.0897855 | − | 0.107002i | ||||
\(800\) | 17.2325 | − | 28.8430i | 0.609261 | − | 1.01975i | ||||
\(801\) | −15.1195 | − | 14.0764i | −0.534223 | − | 0.497365i | ||||
\(802\) | 0.147882 | + | 0.706104i | 0.00522189 | + | 0.0249334i | ||||
\(803\) | 36.7152 | + | 13.3632i | 1.29565 | + | 0.471578i | ||||
\(804\) | −43.8467 | + | 22.5153i | −1.54635 | + | 0.794053i | ||||
\(805\) | −17.5819 | − | 14.7530i | −0.619682 | − | 0.519975i | ||||
\(806\) | −14.7232 | + | 0.470073i | −0.518602 | + | 0.0165576i | ||||
\(807\) | 16.9189 | + | 12.5087i | 0.595573 | + | 0.440329i | ||||
\(808\) | 23.4007 | − | 23.8011i | 0.823233 | − | 0.837320i | ||||
\(809\) | − | 12.0465i | − | 0.423532i | −0.977320 | − | 0.211766i | \(-0.932079\pi\) | ||
0.977320 | − | 0.211766i | \(-0.0679215\pi\) | |||||||
\(810\) | 10.2404 | − | 40.8329i | 0.359813 | − | 1.43472i | ||||
\(811\) | − | 39.0359i | − | 1.37073i | −0.728198 | − | 0.685367i | \(-0.759642\pi\) | ||
0.728198 | − | 0.685367i | \(-0.240358\pi\) | |||||||
\(812\) | −23.1915 | + | 46.8366i | −0.813862 | + | 1.64364i | ||||
\(813\) | 4.39343 | + | 3.24822i | 0.154084 | + | 0.113920i | ||||
\(814\) | −0.242439 | − | 7.59345i | −0.00849748 | − | 0.266150i | ||||
\(815\) | −14.8770 | − | 12.4833i | −0.521119 | − | 0.437271i | ||||
\(816\) | −9.20199 | − | 1.48416i | −0.322134 | − | 0.0519559i | ||||
\(817\) | −6.24026 | − | 2.27127i | −0.218319 | − | 0.0794616i | ||||
\(818\) | −36.0630 | + | 7.55279i | −1.26091 | + | 0.264077i | ||||
\(819\) | −5.38560 | + | 23.4138i | −0.188188 | + | 0.818146i | ||||
\(820\) | −4.66191 | + | 2.04230i | −0.162801 | + | 0.0713201i | ||||
\(821\) | −13.3419 | − | 15.9003i | −0.465636 | − | 0.554923i | 0.481212 | − | 0.876604i | \(-0.340197\pi\) |
−0.946848 | + | 0.321681i | \(0.895752\pi\) | |||||||
\(822\) | −14.9719 | + | 21.6640i | −0.522205 | + | 0.755619i | ||||
\(823\) | 29.9085 | + | 5.27368i | 1.04255 | + | 0.183829i | 0.668601 | − | 0.743622i | \(-0.266894\pi\) |
0.373945 | + | 0.927451i | \(0.378005\pi\) | |||||||
\(824\) | 29.2733 | − | 13.9539i | 1.01978 | − | 0.486108i | ||||
\(825\) | 31.3172 | − | 7.53198i | 1.09033 | − | 0.262230i | ||||
\(826\) | −19.5056 | + | 7.81302i | −0.678687 | + | 0.271850i | ||||
\(827\) | −13.2989 | + | 23.0343i | −0.462447 | + | 0.800981i | −0.999082 | − | 0.0428331i | \(-0.986362\pi\) |
0.536636 | + | 0.843814i | \(0.319695\pi\) | |||||||
\(828\) | 4.56763 | + | 12.0856i | 0.158736 | + | 0.420003i | ||||
\(829\) | −19.0593 | − | 33.0116i | −0.661956 | − | 1.14654i | −0.980101 | − | 0.198499i | \(-0.936393\pi\) |
0.318146 | − | 0.948042i | \(-0.396940\pi\) | |||||||
\(830\) | 18.2757 | + | 14.3667i | 0.634358 | + | 0.498677i | ||||
\(831\) | 47.8584 | − | 31.7046i | 1.66019 | − | 1.09982i | ||||
\(832\) | 17.0460 | − | 10.2310i | 0.590965 | − | 0.354696i | ||||
\(833\) | −1.55763 | − | 4.27955i | −0.0539686 | − | 0.148278i | ||||
\(834\) | −27.3017 | − | 12.5275i | −0.945381 | − | 0.433791i | ||||
\(835\) | −48.7133 | + | 8.58946i | −1.68579 | + | 0.297251i | ||||
\(836\) | −21.4396 | + | 29.1410i | −0.741504 | + | 1.00786i | ||||
\(837\) | −0.216443 | − | 21.7785i | −0.00748135 | − | 0.752775i | ||||
\(838\) | 1.29637 | − | 3.94960i | 0.0447825 | − | 0.136437i | ||||
\(839\) | −4.56919 | − | 25.9131i | −0.157746 | − | 0.894621i | −0.956232 | − | 0.292608i | \(-0.905477\pi\) |
0.798486 | − | 0.602013i | \(-0.205634\pi\) | |||||||
\(840\) | −44.7628 | − | 26.8864i | −1.54446 | − | 0.927670i | ||||
\(841\) | 34.5388 | − | 12.5711i | 1.19099 | − | 0.433487i | ||||
\(842\) | 44.6434 | − | 27.7111i | 1.53851 | − | 0.954986i | ||||
\(843\) | 32.8362 | − | 2.02166i | 1.13094 | − | 0.0696296i | ||||
\(844\) | −4.96578 | + | 3.30642i | −0.170929 | + | 0.113812i | ||||
\(845\) | −19.5475 | + | 11.2858i | −0.672455 | + | 0.388242i | ||||
\(846\) | −2.40247 | + | 12.2172i | −0.0825985 | + | 0.420036i | ||||
\(847\) | 3.33994 | + | 1.92832i | 0.114762 | + | 0.0662577i | ||||
\(848\) | 5.08432 | − | 7.92412i | 0.174596 | − | 0.272115i | ||||
\(849\) | −7.55926 | + | 7.17927i | −0.259433 | + | 0.246392i | ||||
\(850\) | 5.33511 | − | 9.96192i | 0.182993 | − | 0.341691i | ||||
\(851\) | −0.641563 | + | 3.63848i | −0.0219925 | + | 0.124726i | ||||
\(852\) | −3.94142 | − | 31.2852i | −0.135031 | − | 1.07181i | ||||
\(853\) | 19.0710 | − | 16.0025i | 0.652979 | − | 0.547915i | −0.254994 | − | 0.966943i | \(-0.582074\pi\) |
0.907973 | + | 0.419028i | \(0.137629\pi\) | |||||||
\(854\) | 3.87779 | − | 3.47064i | 0.132695 | − | 0.118763i | ||||
\(855\) | −56.8929 | + | 7.03221i | −1.94569 | + | 0.240496i | ||||
\(856\) | 12.8014 | + | 5.83769i | 0.437542 | + | 0.199528i | ||||
\(857\) | 1.27702 | − | 3.50859i | 0.0436222 | − | 0.119851i | −0.915969 | − | 0.401250i | \(-0.868576\pi\) |
0.959591 | + | 0.281398i | \(0.0907983\pi\) | |||||||
\(858\) | 18.4396 | + | 4.81971i | 0.629517 | + | 0.164542i | ||||
\(859\) | 25.9095 | − | 30.8778i | 0.884021 | − | 1.05354i | −0.114173 | − | 0.993461i | \(-0.536422\pi\) |
0.998194 | − | 0.0600745i | \(-0.0191338\pi\) | |||||||
\(860\) | −7.29630 | − | 2.13948i | −0.248802 | − | 0.0729557i | ||||
\(861\) | 1.71407 | + | 3.93773i | 0.0584152 | + | 0.134198i | ||||
\(862\) | 6.25819 | + | 0.898621i | 0.213155 | + | 0.0306072i | ||||
\(863\) | 16.2955 | 0.554704 | 0.277352 | − | 0.960768i | \(-0.410543\pi\) | ||||
0.277352 | + | 0.960768i | \(0.410543\pi\) | |||||||
\(864\) | 14.5692 | + | 25.5292i | 0.495653 | + | 0.868521i | ||||
\(865\) | 61.2850 | 2.08375 | ||||||||
\(866\) | −17.4322 | − | 2.50312i | −0.592372 | − | 0.0850594i | ||||
\(867\) | 26.1420 | + | 2.96781i | 0.887827 | + | 0.100792i | ||||
\(868\) | −25.9234 | − | 7.60147i | −0.879897 | − | 0.258011i | ||||
\(869\) | −18.9767 | + | 22.6155i | −0.643740 | + | 0.767180i | ||||
\(870\) | 17.3927 | + | 63.3520i | 0.589669 | + | 2.14783i | ||||
\(871\) | 12.0937 | − | 33.2270i | 0.409778 | − | 1.12586i | ||||
\(872\) | −38.0889 | − | 17.3693i | −1.28985 | − | 0.588198i | ||||
\(873\) | 17.0628 | + | 11.0611i | 0.577489 | + | 0.374363i | ||||
\(874\) | 13.1097 | − | 11.7333i | 0.443443 | − | 0.396883i | ||||
\(875\) | 7.67089 | − | 6.43664i | 0.259323 | − | 0.217598i | ||||
\(876\) | −39.8446 | − | 16.7651i | −1.34622 | − | 0.566440i | ||||
\(877\) | 1.39295 | − | 7.89983i | 0.0470367 | − | 0.266758i | −0.952215 | − | 0.305427i | \(-0.901201\pi\) |
0.999252 | + | 0.0386690i | \(0.0123118\pi\) | |||||||
\(878\) | −5.43534 | + | 10.1491i | −0.183434 | + | 0.342515i | ||||
\(879\) | 9.10203 | + | 2.69215i | 0.307004 | + | 0.0908039i | ||||
\(880\) | −22.3695 | + | 34.8638i | −0.754076 | + | 1.17526i | ||||
\(881\) | 7.83455 | + | 4.52328i | 0.263953 | + | 0.152393i | 0.626136 | − | 0.779714i | \(-0.284635\pi\) |
−0.362184 | + | 0.932107i | \(0.617969\pi\) | |||||||
\(882\) | −7.42376 | + | 12.2944i | −0.249971 | + | 0.413972i | ||||
\(883\) | −46.5963 | + | 26.9024i | −1.56809 | + | 0.905337i | −0.571697 | + | 0.820464i | \(0.693715\pi\) |
−0.996392 | + | 0.0848723i | \(0.972952\pi\) | |||||||
\(884\) | 5.56574 | − | 3.70591i | 0.187196 | − | 0.124643i | ||||
\(885\) | −11.7757 | + | 23.6422i | −0.395834 | + | 0.794724i | ||||
\(886\) | −37.9916 | + | 23.5821i | −1.27635 | + | 0.792257i | ||||
\(887\) | −12.3726 | + | 4.50327i | −0.415433 | + | 0.151205i | −0.541276 | − | 0.840845i | \(-0.682059\pi\) |
0.125843 | + | 0.992050i | \(0.459836\pi\) | |||||||
\(888\) | −0.145350 | + | 8.40429i | −0.00487762 | + | 0.282030i | ||||
\(889\) | −3.81200 | − | 21.6189i | −0.127850 | − | 0.725076i | ||||
\(890\) | −10.0447 | + | 30.6026i | −0.336698 | + | 1.02580i | ||||
\(891\) | −7.72346 | + | 27.1000i | −0.258746 | + | 0.907885i | ||||
\(892\) | 1.20462 | − | 1.63734i | 0.0403337 | − | 0.0548221i | ||||
\(893\) | 16.6977 | − | 2.94426i | 0.558767 | − | 0.0985257i | ||||
\(894\) | −32.1874 | + | 22.8337i | −1.07651 | + | 0.763672i | ||||
\(895\) | 5.08882 | + | 13.9814i | 0.170100 | + | 0.467347i | ||||
\(896\) | 35.5534 | − | 8.07803i | 1.18775 | − | 0.269868i | ||||
\(897\) | −8.29637 | − | 4.13224i | −0.277008 | − | 0.137971i | ||||
\(898\) | 18.0370 | + | 14.1791i | 0.601901 | + | 0.473162i | ||||
\(899\) | 16.9943 | + | 29.4350i | 0.566792 | + | 0.981712i | ||||
\(900\) | −35.0168 | + | 6.61880i | −1.16723 | + | 0.220627i | ||||
\(901\) | 1.58331 | − | 2.74238i | 0.0527478 | − | 0.0913619i | ||||
\(902\) | 3.16262 | − | 1.26679i | 0.105304 | − | 0.0421796i | ||||
\(903\) | −1.81971 | + | 6.15235i | −0.0605561 | + | 0.204737i | ||||
\(904\) | −25.9447 | + | 12.3672i | −0.862908 | + | 0.411328i | ||||
\(905\) | −72.3163 | − | 12.7513i | −2.40388 | − | 0.423868i | ||||
\(906\) | 28.7236 | + | 2.33536i | 0.954279 | + | 0.0775872i | ||||
\(907\) | −14.6657 | − | 17.4779i | −0.486968 | − | 0.580345i | 0.465476 | − | 0.885061i | \(-0.345883\pi\) |
−0.952444 | + | 0.304715i | \(0.901439\pi\) | |||||||
\(908\) | 32.2496 | − | 14.1280i | 1.07024 | − | 0.468854i | ||||
\(909\) | −35.3556 | − | 1.82428i | −1.17267 | − | 0.0605075i | ||||
\(910\) | 36.6639 | − | 7.67864i | 1.21540 | − | 0.254544i | ||||
\(911\) | 22.5574 | + | 8.21023i | 0.747361 | + | 0.272017i | 0.687495 | − | 0.726189i | \(-0.258710\pi\) |
0.0598662 | + | 0.998206i | \(0.480933\pi\) | |||||||
\(912\) | 25.2776 | − | 31.0353i | 0.837026 | − | 1.02768i | ||||
\(913\) | −11.9202 | − | 10.0023i | −0.394502 | − | 0.331027i | ||||
\(914\) | 0.159098 | + | 4.98311i | 0.00526248 | + | 0.164827i | ||||
\(915\) | 0.737905 | − | 6.49984i | 0.0243944 | − | 0.214878i | ||||
\(916\) | −9.72746 | + | 19.6452i | −0.321404 | + | 0.649096i | ||||
\(917\) | 66.8507i | 2.20760i | ||||||||
\(918\) | 5.29707 | + | 8.34747i | 0.174829 | + | 0.275507i | ||||
\(919\) | − | 26.4967i | − | 0.874046i | −0.899450 | − | 0.437023i | \(-0.856033\pi\) | ||
0.899450 | − | 0.437023i | \(-0.143967\pi\) | |||||||
\(920\) | 14.1228 | − | 14.3645i | 0.465615 | − | 0.473583i | ||||
\(921\) | 49.5463 | − | 21.5671i | 1.63261 | − | 0.710662i | ||||
\(922\) | −3.91833 | + | 0.125102i | −0.129043 | + | 0.00412001i | ||||
\(923\) | 17.3285 | + | 14.5404i | 0.570376 | + | 0.478602i | ||||
\(924\) | 29.3737 | + | 18.9442i | 0.966323 | + | 0.623218i | ||||
\(925\) | −9.57623 | − | 3.48546i | −0.314865 | − | 0.114601i | ||||
\(926\) | −7.00623 | − | 33.4533i | −0.230239 | − | 1.09934i | ||||
\(927\) | −31.6727 | − | 13.4141i | −1.04027 | − | 0.440576i | ||||
\(928\) | −39.3784 | − | 23.5270i | −1.29266 | − | 0.772311i | ||||
\(929\) | −20.9431 | − | 24.9590i | −0.687121 | − | 0.818879i | 0.303883 | − | 0.952709i | \(-0.401717\pi\) |
−0.991004 | + | 0.133830i | \(0.957272\pi\) | |||||||
\(930\) | −30.6876 | + | 14.5400i | −1.00629 | + | 0.476784i | ||||
\(931\) | 19.2600 | + | 3.39606i | 0.631222 | + | 0.111301i | ||||
\(932\) | −8.13423 | − | 8.52468i | −0.266446 | − | 0.279235i | ||||
\(933\) | 11.8404 | + | 12.4671i | 0.387638 | + | 0.408155i | ||||
\(934\) | −18.4500 | − | 46.0614i | −0.603702 | − | 1.50717i | ||||
\(935\) | −6.96612 | + | 12.0657i | −0.227816 | + | 0.394590i | ||||
\(936\) | −20.1142 | − | 6.32952i | −0.657454 | − | 0.206887i | ||||
\(937\) | −6.56312 | − | 11.3677i | −0.214408 | − | 0.371365i | 0.738681 | − | 0.674055i | \(-0.235449\pi\) |
−0.953089 | + | 0.302690i | \(0.902115\pi\) | |||||||
\(938\) | 40.0761 | − | 50.9801i | 1.30853 | − | 1.66456i | ||||
\(939\) | 1.07086 | + | 17.3931i | 0.0349461 | + | 0.567603i | ||||
\(940\) | 18.8645 | − | 4.58381i | 0.615293 | − | 0.149507i | ||||
\(941\) | −1.90221 | − | 5.22629i | −0.0620104 | − | 0.170372i | 0.904818 | − | 0.425798i | \(-0.140007\pi\) |
−0.966829 | + | 0.255426i | \(0.917784\pi\) | |||||||
\(942\) | −7.11045 | + | 0.666103i | −0.231671 | + | 0.0217028i | ||||
\(943\) | −1.63162 | + | 0.287698i | −0.0531327 | + | 0.00936874i | ||||
\(944\) | −5.48875 | − | 17.6064i | −0.178643 | − | 0.573039i | ||||
\(945\) | 10.1589 | + | 54.4445i | 0.330470 | + | 1.77108i | ||||
\(946\) | 4.83580 | + | 1.58725i | 0.157225 | + | 0.0516059i | ||||
\(947\) | 2.90983 | + | 16.5025i | 0.0945568 | + | 0.536258i | 0.994882 | + | 0.101041i | \(0.0322173\pi\) |
−0.900325 | + | 0.435217i | \(0.856672\pi\) | |||||||
\(948\) | 22.2009 | − | 23.9584i | 0.721051 | − | 0.778133i | ||||
\(949\) | 29.1408 | − | 10.6064i | 0.945950 | − | 0.344298i | ||||
\(950\) | 25.5929 | + | 41.2309i | 0.830342 | + | 1.33771i | ||||
\(951\) | −11.1253 | − | 16.7937i | −0.360762 | − | 0.544574i | ||||
\(952\) | 11.8176 | − | 3.27420i | 0.383010 | − | 0.106118i | ||||
\(953\) | −38.9306 | + | 22.4766i | −1.26109 | + | 0.728089i | −0.973285 | − | 0.229601i | \(-0.926258\pi\) |
−0.287802 | + | 0.957690i | \(0.592925\pi\) | |||||||
\(954\) | −9.86654 | + | 1.54064i | −0.319441 | + | 0.0498801i | ||||
\(955\) | −0.948195 | − | 0.547441i | −0.0306829 | − | 0.0177148i | ||||
\(956\) | 2.41733 | − | 0.154515i | 0.0781819 | − | 0.00499738i | ||||
\(957\) | −10.2832 | − | 42.7564i | −0.332407 | − | 1.38212i | ||||
\(958\) | −34.4526 | − | 18.4511i | −1.11311 | − | 0.596129i | ||||
\(959\) | 6.01616 | − | 34.1194i | 0.194272 | − | 1.10177i | ||||
\(960\) | 26.6167 | − | 37.3086i | 0.859049 | − | 1.20413i | ||||
\(961\) | 10.2891 | − | 8.63360i | 0.331907 | − | 0.278503i | ||||
\(962\) | −4.02143 | − | 4.49319i | −0.129656 | − | 0.144866i | ||||
\(963\) | −4.37461 | − | 14.2675i | −0.140970 | − | 0.459763i | ||||
\(964\) | 5.32120 | − | 47.8722i | 0.171384 | − | 1.54186i | ||||
\(965\) | −15.7893 | + | 43.3807i | −0.508275 | + | 1.39647i | ||||
\(966\) | −12.0928 | − | 11.9452i | −0.389078 | − | 0.384329i | ||||
\(967\) | −4.17482 | + | 4.97536i | −0.134253 | + | 0.159997i | −0.828983 | − | 0.559275i | \(-0.811080\pi\) |
0.694729 | + | 0.719271i | \(0.255524\pi\) | |||||||
\(968\) | −1.91791 | + | 2.78913i | −0.0616441 | + | 0.0896460i | ||||
\(969\) | 8.00349 | − | 10.8252i | 0.257109 | − | 0.347757i | ||||
\(970\) | 4.50630 | − | 31.3828i | 0.144689 | − | 1.00764i | ||||
\(971\) | −54.3130 | −1.74299 | −0.871493 | − | 0.490407i | \(-0.836848\pi\) | ||||
−0.871493 | + | 0.490407i | \(0.836848\pi\) | |||||||
\(972\) | 10.0096 | − | 29.5264i | 0.321059 | − | 0.947059i | ||||
\(973\) | 39.5194 | 1.26693 | ||||||||
\(974\) | −4.62825 | + | 32.2321i | −0.148299 | + | 1.03278i | ||||
\(975\) | 15.1985 | − | 20.5569i | 0.486741 | − | 0.658348i | ||||
\(976\) | 2.76882 | + | 3.63266i | 0.0886279 | + | 0.116279i | ||||
\(977\) | −36.8474 | + | 43.9131i | −1.17885 | + | 1.40490i | −0.283837 | + | 0.958873i | \(0.591607\pi\) |
−0.895017 | + | 0.446031i | \(0.852837\pi\) | |||||||
\(978\) | −10.2323 | − | 10.1074i | −0.327194 | − | 0.323200i | ||||
\(979\) | 7.37394 | − | 20.2597i | 0.235672 | − | 0.647504i | ||||
\(980\) | 22.2555 | + | 2.47379i | 0.710925 | + | 0.0790223i | ||||
\(981\) | 13.0161 | + | 42.4510i | 0.415572 | + | 1.35536i | ||||
\(982\) | 13.5428 | + | 15.1315i | 0.432168 | + | 0.482867i | ||||
\(983\) | 26.6456 | − | 22.3583i | 0.849862 | − | 0.713119i | −0.109897 | − | 0.993943i | \(-0.535052\pi\) |
0.959759 | + | 0.280824i | \(0.0906077\pi\) | |||||||
\(984\) | −3.56377 | + | 1.22774i | −0.113609 | + | 0.0391390i | ||||
\(985\) | 3.99501 | − | 22.6568i | 0.127292 | − | 0.721907i | ||||
\(986\) | −13.6007 | − | 7.28385i | −0.433134 | − | 0.231965i | ||||
\(987\) | −3.83051 | − | 15.9269i | −0.121926 | − | 0.506958i | ||||
\(988\) | 1.83169 | + | 28.6560i | 0.0582738 | + | 0.911670i | ||||
\(989\) | −2.14351 | − | 1.23755i | −0.0681596 | − | 0.0393520i | ||||
\(990\) | 43.4099 | − | 6.77837i | 1.37966 | − | 0.215431i | ||||
\(991\) | 4.09615 | − | 2.36491i | 0.130118 | − | 0.0751239i | −0.433528 | − | 0.901140i | \(-0.642731\pi\) |
0.563646 | + | 0.826016i | \(0.309398\pi\) | |||||||
\(992\) | 8.44168 | − | 22.1569i | 0.268024 | − | 0.703484i | ||||
\(993\) | −33.9388 | − | 51.2310i | −1.07702 | − | 1.62577i | ||||
\(994\) | 21.8783 | + | 35.2466i | 0.693937 | + | 1.11796i | ||||
\(995\) | −42.8035 | + | 15.5792i | −1.35696 | + | 0.493894i | ||||
\(996\) | 12.6280 | + | 11.7017i | 0.400134 | + | 0.370782i | ||||
\(997\) | −0.561268 | − | 3.18311i | −0.0177755 | − | 0.100810i | 0.974629 | − | 0.223826i | \(-0.0718546\pi\) |
−0.992405 | + | 0.123016i | \(0.960744\pi\) | |||||||
\(998\) | −17.8264 | − | 5.85114i | −0.564285 | − | 0.185215i | ||||
\(999\) | 6.77233 | − | 5.79832i | 0.214267 | − | 0.183451i |
(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 | 108.2.l.a.95.16 | yes | 96 | |
3.2 | odd | 2 | 324.2.l.a.71.1 | 96 | |||
4.3 | odd | 2 | inner | 108.2.l.a.95.15 | yes | 96 | |
9.2 | odd | 6 | 972.2.l.b.863.11 | 96 | |||
9.4 | even | 3 | 972.2.l.d.539.5 | 96 | |||
9.5 | odd | 6 | 972.2.l.a.539.12 | 96 | |||
9.7 | even | 3 | 972.2.l.c.863.6 | 96 | |||
12.11 | even | 2 | 324.2.l.a.71.2 | 96 | |||
27.2 | odd | 18 | inner | 108.2.l.a.83.15 | ✓ | 96 | |
27.7 | even | 9 | 972.2.l.b.107.13 | 96 | |||
27.11 | odd | 18 | 972.2.l.d.431.8 | 96 | |||
27.16 | even | 9 | 972.2.l.a.431.9 | 96 | |||
27.20 | odd | 18 | 972.2.l.c.107.4 | 96 | |||
27.25 | even | 9 | 324.2.l.a.251.2 | 96 | |||
36.7 | odd | 6 | 972.2.l.c.863.4 | 96 | |||
36.11 | even | 6 | 972.2.l.b.863.13 | 96 | |||
36.23 | even | 6 | 972.2.l.a.539.9 | 96 | |||
36.31 | odd | 6 | 972.2.l.d.539.8 | 96 | |||
108.7 | odd | 18 | 972.2.l.b.107.11 | 96 | |||
108.11 | even | 18 | 972.2.l.d.431.5 | 96 | |||
108.43 | odd | 18 | 972.2.l.a.431.12 | 96 | |||
108.47 | even | 18 | 972.2.l.c.107.6 | 96 | |||
108.79 | odd | 18 | 324.2.l.a.251.1 | 96 | |||
108.83 | even | 18 | inner | 108.2.l.a.83.16 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.2.l.a.83.15 | ✓ | 96 | 27.2 | odd | 18 | inner | |
108.2.l.a.83.16 | yes | 96 | 108.83 | even | 18 | inner | |
108.2.l.a.95.15 | yes | 96 | 4.3 | odd | 2 | inner | |
108.2.l.a.95.16 | yes | 96 | 1.1 | even | 1 | trivial | |
324.2.l.a.71.1 | 96 | 3.2 | odd | 2 | |||
324.2.l.a.71.2 | 96 | 12.11 | even | 2 | |||
324.2.l.a.251.1 | 96 | 108.79 | odd | 18 | |||
324.2.l.a.251.2 | 96 | 27.25 | even | 9 | |||
972.2.l.a.431.9 | 96 | 27.16 | even | 9 | |||
972.2.l.a.431.12 | 96 | 108.43 | odd | 18 | |||
972.2.l.a.539.9 | 96 | 36.23 | even | 6 | |||
972.2.l.a.539.12 | 96 | 9.5 | odd | 6 | |||
972.2.l.b.107.11 | 96 | 108.7 | odd | 18 | |||
972.2.l.b.107.13 | 96 | 27.7 | even | 9 | |||
972.2.l.b.863.11 | 96 | 9.2 | odd | 6 | |||
972.2.l.b.863.13 | 96 | 36.11 | even | 6 | |||
972.2.l.c.107.4 | 96 | 27.20 | odd | 18 | |||
972.2.l.c.107.6 | 96 | 108.47 | even | 18 | |||
972.2.l.c.863.4 | 96 | 36.7 | odd | 6 | |||
972.2.l.c.863.6 | 96 | 9.7 | even | 3 | |||
972.2.l.d.431.5 | 96 | 108.11 | even | 18 | |||
972.2.l.d.431.8 | 96 | 27.11 | odd | 18 | |||
972.2.l.d.539.5 | 96 | 9.4 | even | 3 | |||
972.2.l.d.539.8 | 96 | 36.31 | odd | 6 |