Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,2,Mod(193,882)]
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([14, 22]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.193");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.y (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 | 457.2 | ||
Character | \(\chi\) | \(=\) | 882.457 |
Dual form | 882.2.y.a.193.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(e\left(\frac{10}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.988831 | + | 0.149042i | 0.699209 | + | 0.105389i | ||||
\(3\) | −1.67319 | + | 0.447706i | −0.966016 | + | 0.258483i | ||||
\(4\) | 0.955573 | + | 0.294755i | 0.477786 | + | 0.147378i | ||||
\(5\) | −0.697157 | − | 0.335733i | −0.311778 | − | 0.150144i | 0.271451 | − | 0.962452i | \(-0.412497\pi\) |
−0.583229 | + | 0.812308i | \(0.698211\pi\) | |||||||
\(6\) | −1.72123 | + | 0.193329i | −0.702688 | + | 0.0789263i | ||||
\(7\) | −1.34035 | − | 2.28111i | −0.506606 | − | 0.862178i | ||||
\(8\) | 0.900969 | + | 0.433884i | 0.318541 | + | 0.153401i | ||||
\(9\) | 2.59912 | − | 1.49819i | 0.866373 | − | 0.499397i | ||||
\(10\) | −0.639332 | − | 0.435889i | −0.202174 | − | 0.137840i | ||||
\(11\) | −3.78623 | + | 4.74778i | −1.14159 | + | 1.43151i | −0.256225 | + | 0.966617i | \(0.582479\pi\) |
−0.885367 | + | 0.464893i | \(0.846093\pi\) | |||||||
\(12\) | −1.73082 | − | 0.0653658i | −0.499644 | − | 0.0188695i | ||||
\(13\) | 2.78280 | + | 0.419439i | 0.771809 | + | 0.116331i | 0.523128 | − | 0.852254i | \(-0.324765\pi\) |
0.248681 | + | 0.968586i | \(0.420003\pi\) | |||||||
\(14\) | −0.985400 | − | 2.45540i | −0.263359 | − | 0.656233i | ||||
\(15\) | 1.31678 | + | 0.249624i | 0.339992 | + | 0.0644525i | ||||
\(16\) | 0.826239 | + | 0.563320i | 0.206560 | + | 0.140830i | ||||
\(17\) | 7.16814 | − | 2.21108i | 1.73853 | − | 0.536265i | 0.746849 | − | 0.664994i | \(-0.231566\pi\) |
0.991680 | + | 0.128729i | \(0.0410898\pi\) | |||||||
\(18\) | 2.79338 | − | 1.09408i | 0.658407 | − | 0.257877i | ||||
\(19\) | 2.86472 | − | 4.96184i | 0.657212 | − | 1.13832i | −0.324122 | − | 0.946015i | \(-0.605069\pi\) |
0.981334 | − | 0.192309i | \(-0.0615977\pi\) | |||||||
\(20\) | −0.567225 | − | 0.526308i | −0.126835 | − | 0.117686i | ||||
\(21\) | 3.26393 | + | 3.21664i | 0.712247 | + | 0.701929i | ||||
\(22\) | −4.45156 | + | 4.13045i | −0.949076 | + | 0.880614i | ||||
\(23\) | −1.34365 | − | 5.88692i | −0.280170 | − | 1.22751i | −0.897575 | − | 0.440861i | \(-0.854673\pi\) |
0.617405 | − | 0.786646i | \(-0.288184\pi\) | |||||||
\(24\) | −1.70174 | − | 0.322601i | −0.347367 | − | 0.0658506i | ||||
\(25\) | −2.74414 | − | 3.44104i | −0.548828 | − | 0.688208i | ||||
\(26\) | 2.68920 | + | 0.829508i | 0.527396 | + | 0.162680i | ||||
\(27\) | −3.67807 | + | 3.67040i | −0.707845 | + | 0.706368i | ||||
\(28\) | −0.608436 | − | 2.57484i | −0.114984 | − | 0.486599i | ||||
\(29\) | 6.05560 | + | 5.61877i | 1.12450 | + | 1.04338i | 0.998682 | + | 0.0513258i | \(0.0163447\pi\) |
0.125814 | + | 0.992054i | \(0.459846\pi\) | |||||||
\(30\) | 1.26487 | + | 0.443092i | 0.230933 | + | 0.0808972i | ||||
\(31\) | 4.15743 | − | 7.20088i | 0.746697 | − | 1.29332i | −0.202701 | − | 0.979241i | \(-0.564972\pi\) |
0.949398 | − | 0.314076i | \(-0.101695\pi\) | |||||||
\(32\) | 0.733052 | + | 0.680173i | 0.129586 | + | 0.120239i | ||||
\(33\) | 4.20947 | − | 9.63905i | 0.732775 | − | 1.67794i | ||||
\(34\) | 7.41762 | − | 1.11803i | 1.27211 | − | 0.191740i | ||||
\(35\) | 0.168592 | + | 2.04029i | 0.0284973 | + | 0.344872i | ||||
\(36\) | 2.92525 | − | 0.665527i | 0.487541 | − | 0.110921i | ||||
\(37\) | 4.42514 | + | 4.10593i | 0.727488 | + | 0.675010i | 0.954274 | − | 0.298934i | \(-0.0966312\pi\) |
−0.226786 | + | 0.973945i | \(0.572822\pi\) | |||||||
\(38\) | 3.57225 | − | 4.47946i | 0.579495 | − | 0.726664i | ||||
\(39\) | −4.84393 | + | 0.544073i | −0.775649 | + | 0.0871213i | ||||
\(40\) | −0.482447 | − | 0.604970i | −0.0762816 | − | 0.0956541i | ||||
\(41\) | −0.274313 | − | 3.66045i | −0.0428405 | − | 0.571666i | −0.976781 | − | 0.214239i | \(-0.931273\pi\) |
0.933941 | − | 0.357428i | \(-0.116346\pi\) | |||||||
\(42\) | 2.74806 | + | 3.66718i | 0.424034 | + | 0.565858i | ||||
\(43\) | 0.358592 | − | 4.78508i | 0.0546847 | − | 0.729717i | −0.900717 | − | 0.434407i | \(-0.856958\pi\) |
0.955401 | − | 0.295310i | \(-0.0954230\pi\) | |||||||
\(44\) | −5.01745 | + | 3.42084i | −0.756410 | + | 0.515711i | ||||
\(45\) | −2.31499 | + | 0.171864i | −0.345098 | + | 0.0256200i | ||||
\(46\) | −0.451243 | − | 6.02142i | −0.0665322 | − | 0.887811i | ||||
\(47\) | 3.87549 | + | 0.584136i | 0.565298 | + | 0.0852049i | 0.425473 | − | 0.904971i | \(-0.360108\pi\) |
0.139825 | + | 0.990176i | \(0.455346\pi\) | |||||||
\(48\) | −1.63465 | − | 0.572629i | −0.235942 | − | 0.0826519i | ||||
\(49\) | −3.40691 | + | 6.11498i | −0.486702 | + | 0.873568i | ||||
\(50\) | −2.20063 | − | 3.81160i | −0.311216 | − | 0.539042i | ||||
\(51\) | −11.0037 | + | 6.90876i | −1.54083 | + | 0.967420i | ||||
\(52\) | 2.53553 | + | 1.22105i | 0.351615 | + | 0.169329i | ||||
\(53\) | 3.11020 | − | 2.88585i | 0.427219 | − | 0.396402i | −0.437045 | − | 0.899440i | \(-0.643975\pi\) |
0.864264 | + | 0.503038i | \(0.167784\pi\) | |||||||
\(54\) | −4.18403 | + | 3.08121i | −0.569375 | + | 0.419300i | ||||
\(55\) | 4.23358 | − | 2.03879i | 0.570856 | − | 0.274910i | ||||
\(56\) | −0.217880 | − | 2.63676i | −0.0291154 | − | 0.352353i | ||||
\(57\) | −2.57177 | + | 9.58465i | −0.340640 | + | 1.26952i | ||||
\(58\) | 5.15052 | + | 6.45855i | 0.676297 | + | 0.848050i | ||||
\(59\) | 0.248466 | − | 3.31554i | 0.0323475 | − | 0.431647i | −0.957395 | − | 0.288782i | \(-0.906750\pi\) |
0.989742 | − | 0.142865i | \(-0.0456314\pi\) | |||||||
\(60\) | 1.18471 | + | 0.626662i | 0.152945 | + | 0.0809018i | ||||
\(61\) | −1.65059 | + | 0.509138i | −0.211336 | + | 0.0651885i | −0.398615 | − | 0.917118i | \(-0.630509\pi\) |
0.187280 | + | 0.982307i | \(0.440033\pi\) | |||||||
\(62\) | 5.18423 | − | 6.50082i | 0.658398 | − | 0.825605i | ||||
\(63\) | −6.90127 | − | 3.92077i | −0.869479 | − | 0.493970i | ||||
\(64\) | 0.623490 | + | 0.781831i | 0.0779362 | + | 0.0977289i | ||||
\(65\) | −1.79923 | − | 1.22669i | −0.223166 | − | 0.152152i | ||||
\(66\) | 5.59908 | − | 8.90400i | 0.689199 | − | 1.09601i | ||||
\(67\) | −3.20774 | + | 5.55596i | −0.391887 | + | 0.678769i | −0.992698 | − | 0.120622i | \(-0.961511\pi\) |
0.600811 | + | 0.799391i | \(0.294844\pi\) | |||||||
\(68\) | 7.50140 | 0.909679 | ||||||||
\(69\) | 4.88378 | + | 9.24836i | 0.587939 | + | 1.11337i | ||||
\(70\) | −0.137380 | + | 2.04263i | −0.0164201 | + | 0.244141i | ||||
\(71\) | 1.86822 | + | 8.18520i | 0.221717 | + | 0.971404i | 0.956185 | + | 0.292762i | \(0.0945743\pi\) |
−0.734469 | + | 0.678643i | \(0.762569\pi\) | |||||||
\(72\) | 2.99177 | − | 0.222108i | 0.352583 | − | 0.0261757i | ||||
\(73\) | −0.515859 | + | 1.31439i | −0.0603767 | + | 0.153837i | −0.957879 | − | 0.287173i | \(-0.907285\pi\) |
0.897502 | + | 0.441010i | \(0.145380\pi\) | |||||||
\(74\) | 3.76376 | + | 4.71960i | 0.437528 | + | 0.548642i | ||||
\(75\) | 6.13203 | + | 4.52894i | 0.708066 | + | 0.522957i | ||||
\(76\) | 4.19998 | − | 3.89701i | 0.481770 | − | 0.447018i | ||||
\(77\) | 15.9051 | + | 2.27310i | 1.81255 | + | 0.259044i | ||||
\(78\) | −4.87091 | − | 0.183954i | −0.551522 | − | 0.0208287i | ||||
\(79\) | 1.05625 | + | 1.82947i | 0.118837 | + | 0.205832i | 0.919307 | − | 0.393541i | \(-0.128750\pi\) |
−0.800470 | + | 0.599373i | \(0.795417\pi\) | |||||||
\(80\) | −0.386893 | − | 0.670118i | −0.0432559 | − | 0.0749215i | ||||
\(81\) | 4.51084 | − | 7.78796i | 0.501205 | − | 0.865329i | ||||
\(82\) | 0.274313 | − | 3.66045i | 0.0302928 | − | 0.404229i | ||||
\(83\) | 15.1171 | − | 2.27853i | 1.65932 | − | 0.250102i | 0.748566 | − | 0.663060i | \(-0.230743\pi\) |
0.910750 | + | 0.412958i | \(0.135504\pi\) | |||||||
\(84\) | 2.17080 | + | 4.03579i | 0.236854 | + | 0.440341i | ||||
\(85\) | −5.73965 | − | 0.865112i | −0.622552 | − | 0.0938346i | ||||
\(86\) | 1.06777 | − | 4.67819i | 0.115140 | − | 0.504462i | ||||
\(87\) | −12.6477 | − | 6.69014i | −1.35598 | − | 0.717258i | ||||
\(88\) | −5.47126 | + | 2.63482i | −0.583239 | + | 0.280873i | ||||
\(89\) | −8.53753 | + | 1.28682i | −0.904976 | + | 0.136403i | −0.585010 | − | 0.811026i | \(-0.698909\pi\) |
−0.319966 | + | 0.947429i | \(0.603671\pi\) | |||||||
\(90\) | −2.31474 | − | 0.175086i | −0.243995 | − | 0.0184557i | ||||
\(91\) | −2.77314 | − | 6.91006i | −0.290704 | − | 0.724371i | ||||
\(92\) | 0.451243 | − | 6.02142i | 0.0470454 | − | 0.627777i | ||||
\(93\) | −3.73229 | + | 13.9097i | −0.387021 | + | 1.44237i | ||||
\(94\) | 3.74514 | + | 1.15522i | 0.386282 | + | 0.119152i | ||||
\(95\) | −3.66301 | + | 2.49740i | −0.375817 | + | 0.256228i | ||||
\(96\) | −1.53105 | − | 0.809866i | −0.156262 | − | 0.0826566i | ||||
\(97\) | 2.51891 | − | 4.36287i | 0.255756 | − | 0.442983i | −0.709344 | − | 0.704862i | \(-0.751009\pi\) |
0.965101 | + | 0.261879i | \(0.0843422\pi\) | |||||||
\(98\) | −4.28025 | + | 5.53891i | −0.432370 | + | 0.559514i | ||||
\(99\) | −2.72778 | + | 18.0126i | −0.274152 | + | 1.81033i | ||||
\(100\) | −1.60796 | − | 4.09701i | −0.160796 | − | 0.409701i | ||||
\(101\) | −10.4847 | − | 5.04915i | −1.04326 | − | 0.502409i | −0.167864 | − | 0.985810i | \(-0.553687\pi\) |
−0.875399 | + | 0.483401i | \(0.839401\pi\) | |||||||
\(102\) | −11.9105 | + | 5.19158i | −1.17932 | + | 0.514043i | ||||
\(103\) | −9.49712 | − | 4.57357i | −0.935779 | − | 0.450647i | −0.0971006 | − | 0.995275i | \(-0.530957\pi\) |
−0.838678 | + | 0.544627i | \(0.816671\pi\) | |||||||
\(104\) | 2.32522 | + | 1.58531i | 0.228007 | + | 0.155453i | ||||
\(105\) | −1.19554 | − | 3.33831i | −0.116672 | − | 0.325786i | ||||
\(106\) | 3.50558 | − | 2.39006i | 0.340492 | − | 0.232143i | ||||
\(107\) | −6.08485 | + | 0.917144i | −0.588245 | + | 0.0886636i | −0.436419 | − | 0.899744i | \(-0.643753\pi\) |
−0.151826 | + | 0.988407i | \(0.548515\pi\) | |||||||
\(108\) | −4.59653 | + | 2.42320i | −0.442301 | + | 0.233173i | ||||
\(109\) | −11.6420 | − | 1.75475i | −1.11510 | − | 0.168074i | −0.434459 | − | 0.900692i | \(-0.643060\pi\) |
−0.680641 | + | 0.732617i | \(0.738299\pi\) | |||||||
\(110\) | 4.49016 | − | 1.38503i | 0.428120 | − | 0.132058i | ||||
\(111\) | −9.24234 | − | 4.88883i | −0.877244 | − | 0.464027i | ||||
\(112\) | 0.177543 | − | 2.63979i | 0.0167762 | − | 0.249436i | ||||
\(113\) | −4.70809 | + | 11.9960i | −0.442900 | + | 1.12849i | 0.518923 | + | 0.854821i | \(0.326333\pi\) |
−0.961823 | + | 0.273671i | \(0.911762\pi\) | |||||||
\(114\) | −3.97157 | + | 9.09429i | −0.371971 | + | 0.851758i | ||||
\(115\) | −1.03970 | + | 4.55521i | −0.0969523 | + | 0.424776i | ||||
\(116\) | 4.13040 | + | 7.15406i | 0.383498 | + | 0.664238i | ||||
\(117\) | 7.86122 | − | 3.07899i | 0.726770 | − | 0.284653i | ||||
\(118\) | 0.739847 | − | 3.24148i | 0.0681084 | − | 0.298402i | ||||
\(119\) | −14.6515 | − | 13.3877i | −1.34310 | − | 1.22725i | ||||
\(120\) | 1.07807 | + | 0.796234i | 0.0984142 | + | 0.0726859i | ||||
\(121\) | −5.75817 | − | 25.2282i | −0.523470 | − | 2.29347i | ||||
\(122\) | −1.70803 | + | 0.257445i | −0.154638 | + | 0.0233079i | ||||
\(123\) | 2.09778 | + | 6.00181i | 0.189151 | + | 0.541165i | ||||
\(124\) | 6.09523 | − | 5.65554i | 0.547367 | − | 0.507883i | ||||
\(125\) | 1.61874 | + | 7.09217i | 0.144785 | + | 0.634343i | ||||
\(126\) | −6.23983 | − | 4.90556i | −0.555888 | − | 0.437022i | ||||
\(127\) | 2.17984 | − | 9.55050i | 0.193429 | − | 0.847470i | −0.781313 | − | 0.624139i | \(-0.785450\pi\) |
0.974743 | − | 0.223331i | \(-0.0716930\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 1.54231 | + | 8.16688i | 0.135793 | + | 0.719053i | ||||
\(130\) | −1.59630 | − | 1.48115i | −0.140005 | − | 0.129905i | ||||
\(131\) | 3.92388 | − | 1.88964i | 0.342831 | − | 0.165099i | −0.254543 | − | 0.967061i | \(-0.581925\pi\) |
0.597374 | + | 0.801963i | \(0.296211\pi\) | |||||||
\(132\) | 6.86362 | − | 7.97005i | 0.597401 | − | 0.693704i | ||||
\(133\) | −15.1582 | + | 0.115878i | −1.31439 | + | 0.0100479i | ||||
\(134\) | −3.99998 | + | 5.01582i | −0.345546 | + | 0.433301i | ||||
\(135\) | 3.79646 | − | 1.32399i | 0.326748 | − | 0.113951i | ||||
\(136\) | 7.41762 | + | 1.11803i | 0.636055 | + | 0.0958699i | ||||
\(137\) | 13.4899 | − | 6.49641i | 1.15252 | − | 0.555026i | 0.242733 | − | 0.970093i | \(-0.421956\pi\) |
0.909791 | + | 0.415067i | \(0.136242\pi\) | |||||||
\(138\) | 3.45084 | + | 9.87295i | 0.293755 | + | 0.840442i | ||||
\(139\) | 0.728685 | + | 9.72363i | 0.0618063 | + | 0.824747i | 0.938848 | + | 0.344333i | \(0.111895\pi\) |
−0.877041 | + | 0.480415i | \(0.840486\pi\) | |||||||
\(140\) | −0.440284 | + | 1.99934i | −0.0372108 | + | 0.168975i | ||||
\(141\) | −6.74594 | + | 0.757708i | −0.568111 | + | 0.0638105i | ||||
\(142\) | 0.627411 | + | 8.37222i | 0.0526512 | + | 0.702581i | ||||
\(143\) | −12.5277 | + | 11.6240i | −1.04762 | + | 0.972049i | ||||
\(144\) | 2.99145 | + | 0.226272i | 0.249288 | + | 0.0188560i | ||||
\(145\) | −2.33529 | − | 5.95023i | −0.193935 | − | 0.494139i | ||||
\(146\) | −0.705996 | + | 1.22282i | −0.0584287 | + | 0.101201i | ||||
\(147\) | 2.96269 | − | 11.7568i | 0.244359 | − | 0.969685i | ||||
\(148\) | 3.01830 | + | 5.22784i | 0.248103 | + | 0.429726i | ||||
\(149\) | 5.04421 | − | 6.32524i | 0.413238 | − | 0.518184i | −0.531034 | − | 0.847351i | \(-0.678196\pi\) |
0.944272 | + | 0.329167i | \(0.106768\pi\) | |||||||
\(150\) | 5.38854 | + | 5.39229i | 0.439972 | + | 0.440279i | ||||
\(151\) | 1.49170 | + | 6.53556i | 0.121393 | + | 0.531857i | 0.998655 | + | 0.0518453i | \(0.0165103\pi\) |
−0.877262 | + | 0.480011i | \(0.840633\pi\) | |||||||
\(152\) | 4.73389 | − | 3.22751i | 0.383969 | − | 0.261786i | ||||
\(153\) | 15.3182 | − | 16.4861i | 1.23841 | − | 1.33282i | ||||
\(154\) | 15.3887 | + | 4.61824i | 1.24005 | + | 0.372149i | ||||
\(155\) | −5.31595 | + | 3.62436i | −0.426988 | + | 0.291115i | ||||
\(156\) | −4.78909 | − | 0.907872i | −0.383434 | − | 0.0726879i | ||||
\(157\) | 0.0853826 | − | 1.13935i | 0.00681428 | − | 0.0909302i | −0.992760 | − | 0.120117i | \(-0.961673\pi\) |
0.999574 | + | 0.0291873i | \(0.00929192\pi\) | |||||||
\(158\) | 0.771780 | + | 1.96646i | 0.0613995 | + | 0.156443i | ||||
\(159\) | −3.91195 | + | 6.22102i | −0.310238 | + | 0.493359i | ||||
\(160\) | −0.282696 | − | 0.720297i | −0.0223490 | − | 0.0569444i | ||||
\(161\) | −11.6277 | + | 10.9556i | −0.916393 | + | 0.863419i | ||||
\(162\) | 5.62120 | − | 7.02867i | 0.441643 | − | 0.552224i | ||||
\(163\) | 0.576733 | − | 7.69596i | 0.0451732 | − | 0.602794i | −0.927979 | − | 0.372632i | \(-0.878455\pi\) |
0.973152 | − | 0.230162i | \(-0.0739257\pi\) | |||||||
\(164\) | 0.816811 | − | 3.57868i | 0.0637822 | − | 0.279448i | ||||
\(165\) | −6.17081 | + | 5.30667i | −0.480397 | + | 0.413124i | ||||
\(166\) | 15.2878 | 1.18657 | ||||||||
\(167\) | −10.7162 | + | 3.30552i | −0.829246 | + | 0.255789i | −0.680186 | − | 0.733040i | \(-0.738101\pi\) |
−0.149060 | + | 0.988828i | \(0.547625\pi\) | |||||||
\(168\) | 1.54505 | + | 4.31426i | 0.119203 | + | 0.332852i | ||||
\(169\) | −4.85442 | − | 1.49739i | −0.373417 | − | 0.115184i | ||||
\(170\) | −5.54660 | − | 1.71090i | −0.425405 | − | 0.131220i | ||||
\(171\) | 0.0119627 | − | 17.1883i | 0.000914809 | − | 1.31442i | ||||
\(172\) | 1.75309 | − | 4.46679i | 0.133672 | − | 0.340590i | ||||
\(173\) | −8.25118 | + | 7.65598i | −0.627326 | + | 0.582073i | −0.928425 | − | 0.371519i | \(-0.878837\pi\) |
0.301099 | + | 0.953593i | \(0.402646\pi\) | |||||||
\(174\) | −11.5093 | − | 8.50046i | −0.872520 | − | 0.644418i | ||||
\(175\) | −4.17127 | + | 10.8719i | −0.315319 | + | 0.821837i | ||||
\(176\) | −5.80285 | + | 1.78994i | −0.437406 | + | 0.134922i | ||||
\(177\) | 1.06866 | + | 5.65877i | 0.0803252 | + | 0.425339i | ||||
\(178\) | −8.63396 | −0.647143 | ||||||||
\(179\) | 1.26771 | − | 0.391036i | 0.0947530 | − | 0.0292274i | −0.247016 | − | 0.969011i | \(-0.579450\pi\) |
0.341769 | + | 0.939784i | \(0.388974\pi\) | |||||||
\(180\) | −2.26280 | − | 0.518125i | −0.168659 | − | 0.0386188i | ||||
\(181\) | −0.918100 | − | 1.15126i | −0.0682418 | − | 0.0855725i | 0.746539 | − | 0.665342i | \(-0.231714\pi\) |
−0.814781 | + | 0.579769i | \(0.803143\pi\) | |||||||
\(182\) | −1.71228 | − | 7.24619i | −0.126922 | − | 0.537123i | ||||
\(183\) | 2.53380 | − | 1.59086i | 0.187304 | − | 0.117600i | ||||
\(184\) | 1.34365 | − | 5.88692i | 0.0990552 | − | 0.433989i | ||||
\(185\) | −1.70652 | − | 4.34814i | −0.125466 | − | 0.319682i | ||||
\(186\) | −5.76374 | + | 13.1981i | −0.422618 | + | 0.967732i | ||||
\(187\) | −16.6425 | + | 42.4044i | −1.21702 | + | 3.10092i | ||||
\(188\) | 3.53113 | + | 1.70050i | 0.257534 | + | 0.124022i | ||||
\(189\) | 13.3025 | + | 3.47045i | 0.967613 | + | 0.252438i | ||||
\(190\) | −3.99432 | + | 1.92356i | −0.289778 | + | 0.139550i | ||||
\(191\) | 1.79661 | + | 23.9741i | 0.129998 | + | 1.73471i | 0.557048 | + | 0.830480i | \(0.311934\pi\) |
−0.427050 | + | 0.904228i | \(0.640447\pi\) | |||||||
\(192\) | −1.39325 | − | 1.02901i | −0.100549 | − | 0.0742625i | ||||
\(193\) | 3.27712 | − | 2.23430i | 0.235892 | − | 0.160829i | −0.439605 | − | 0.898191i | \(-0.644881\pi\) |
0.675497 | + | 0.737363i | \(0.263929\pi\) | |||||||
\(194\) | 3.14103 | − | 3.93872i | 0.225512 | − | 0.282784i | ||||
\(195\) | 3.55964 | + | 1.24696i | 0.254911 | + | 0.0892968i | ||||
\(196\) | −5.05797 | + | 4.83910i | −0.361284 | + | 0.345650i | ||||
\(197\) | 2.75770 | 0.196478 | 0.0982392 | − | 0.995163i | \(-0.468679\pi\) | ||||
0.0982392 | + | 0.995163i | \(0.468679\pi\) | |||||||
\(198\) | −5.38194 | + | 17.4048i | −0.382478 | + | 1.23691i | ||||
\(199\) | 1.08108 | + | 14.4260i | 0.0766359 | + | 1.02263i | 0.894455 | + | 0.447159i | \(0.147564\pi\) |
−0.817819 | + | 0.575476i | \(0.804817\pi\) | |||||||
\(200\) | −0.979372 | − | 4.29091i | −0.0692520 | − | 0.303413i | ||||
\(201\) | 2.87971 | − | 10.7323i | 0.203119 | − | 0.756997i | ||||
\(202\) | −9.61502 | − | 6.55541i | −0.676511 | − | 0.461237i | ||||
\(203\) | 4.70039 | − | 21.3446i | 0.329903 | − | 1.49810i | ||||
\(204\) | −12.5513 | + | 3.35842i | −0.878764 | + | 0.235136i | ||||
\(205\) | −1.03769 | + | 2.64400i | −0.0724758 | + | 0.184665i | ||||
\(206\) | −8.70939 | − | 5.93796i | −0.606812 | − | 0.413717i | ||||
\(207\) | −12.3120 | − | 13.2878i | −0.855746 | − | 0.923563i | ||||
\(208\) | 2.06298 | + | 1.91416i | 0.143042 | + | 0.132723i | ||||
\(209\) | 12.7113 | + | 32.3878i | 0.879256 | + | 2.24031i | ||||
\(210\) | −0.684634 | − | 3.47921i | −0.0472442 | − | 0.240088i | ||||
\(211\) | 10.2110 | − | 26.0172i | 0.702953 | − | 1.79110i | 0.0974684 | − | 0.995239i | \(-0.468926\pi\) |
0.605485 | − | 0.795857i | \(-0.292979\pi\) | |||||||
\(212\) | 3.82264 | − | 1.84089i | 0.262540 | − | 0.126433i | ||||
\(213\) | −6.79044 | − | 12.8590i | −0.465273 | − | 0.881082i | ||||
\(214\) | −6.15358 | −0.420650 | ||||||||
\(215\) | −1.85650 | + | 3.21556i | −0.126612 | + | 0.219299i | ||||
\(216\) | −4.90635 | + | 1.71106i | −0.333835 | + | 0.116423i | ||||
\(217\) | −21.9984 | + | 0.168168i | −1.49335 | + | 0.0114160i | ||||
\(218\) | −11.2504 | − | 3.47030i | −0.761975 | − | 0.235038i | ||||
\(219\) | 0.274671 | − | 2.43017i | 0.0185605 | − | 0.164216i | ||||
\(220\) | 4.64644 | − | 0.700338i | 0.313263 | − | 0.0472168i | ||||
\(221\) | 20.8749 | − | 3.14638i | 1.40420 | − | 0.211648i | ||||
\(222\) | −8.41046 | − | 6.21173i | −0.564473 | − | 0.416904i | ||||
\(223\) | 11.6094 | + | 3.58101i | 0.777420 | + | 0.239802i | 0.657976 | − | 0.753039i | \(-0.271413\pi\) |
0.119444 | + | 0.992841i | \(0.461889\pi\) | |||||||
\(224\) | 0.569000 | − | 2.58384i | 0.0380179 | − | 0.172640i | ||||
\(225\) | −12.2877 | − | 4.83243i | −0.819179 | − | 0.322162i | ||||
\(226\) | −6.44342 | + | 11.1603i | −0.428610 | + | 0.742375i | ||||
\(227\) | −0.709064 | −0.0470622 | −0.0235311 | − | 0.999723i | \(-0.507491\pi\) | ||||
−0.0235311 | + | 0.999723i | \(0.507491\pi\) | |||||||
\(228\) | −5.28264 | + | 8.40078i | −0.349851 | + | 0.556356i | ||||
\(229\) | 1.66611 | − | 0.802355i | 0.110099 | − | 0.0530211i | −0.378023 | − | 0.925796i | \(-0.623396\pi\) |
0.488123 | + | 0.872775i | \(0.337682\pi\) | |||||||
\(230\) | −1.70700 | + | 4.34937i | −0.112556 | + | 0.286789i | ||||
\(231\) | −27.6299 | + | 3.31747i | −1.81791 | + | 0.218274i | ||||
\(232\) | 3.01801 | + | 7.68976i | 0.198142 | + | 0.504858i | ||||
\(233\) | 15.3311 | + | 14.2252i | 1.00437 | + | 0.931924i | 0.997682 | − | 0.0680539i | \(-0.0216790\pi\) |
0.00669328 | + | 0.999978i | \(0.497869\pi\) | |||||||
\(234\) | 8.23232 | − | 1.87295i | 0.538163 | − | 0.122438i | ||||
\(235\) | −2.50571 | − | 1.70836i | −0.163454 | − | 0.111441i | ||||
\(236\) | 1.21470 | − | 3.09501i | 0.0790703 | − | 0.201468i | ||||
\(237\) | −2.58636 | − | 2.58816i | −0.168002 | − | 0.168119i | ||||
\(238\) | −12.4926 | − | 15.4218i | −0.809772 | − | 0.999650i | ||||
\(239\) | 8.60396 | + | 5.86608i | 0.556544 | + | 0.379445i | 0.808682 | − | 0.588246i | \(-0.200181\pi\) |
−0.252138 | + | 0.967691i | \(0.581134\pi\) | |||||||
\(240\) | 0.947360 | + | 0.948020i | 0.0611518 | + | 0.0611944i | ||||
\(241\) | −4.73438 | − | 20.7427i | −0.304968 | − | 1.33615i | −0.862525 | − | 0.506015i | \(-0.831118\pi\) |
0.557557 | − | 0.830139i | \(-0.311739\pi\) | |||||||
\(242\) | −1.93379 | − | 25.8046i | −0.124309 | − | 1.65878i | ||||
\(243\) | −4.06078 | + | 15.0503i | −0.260499 | + | 0.965474i | ||||
\(244\) | −1.72733 | −0.110581 | ||||||||
\(245\) | 4.42815 | − | 3.11929i | 0.282904 | − | 0.199284i | ||||
\(246\) | 1.17983 | + | 6.24744i | 0.0752230 | + | 0.398322i | ||||
\(247\) | 10.0531 | − | 12.6062i | 0.639665 | − | 0.802114i | ||||
\(248\) | 6.87006 | − | 4.68393i | 0.436249 | − | 0.297430i | ||||
\(249\) | −24.2736 | + | 10.5804i | −1.53828 | + | 0.670507i | ||||
\(250\) | 0.543628 | + | 7.25421i | 0.0343821 | + | 0.458797i | ||||
\(251\) | 0.0375420 | − | 0.0180793i | 0.00236963 | − | 0.00114115i | −0.432699 | − | 0.901539i | \(-0.642439\pi\) |
0.435068 | + | 0.900398i | \(0.356724\pi\) | |||||||
\(252\) | −5.43900 | − | 5.78077i | −0.342625 | − | 0.364154i | ||||
\(253\) | 33.0372 | + | 15.9099i | 2.07703 | + | 1.00024i | ||||
\(254\) | 3.57892 | − | 9.11894i | 0.224561 | − | 0.572173i | ||||
\(255\) | 9.99082 | − | 1.12217i | 0.625650 | − | 0.0702733i | ||||
\(256\) | 0.365341 | + | 0.930874i | 0.0228338 | + | 0.0581796i | ||||
\(257\) | −1.64510 | + | 7.20767i | −0.102619 | + | 0.449602i | 0.897347 | + | 0.441326i | \(0.145492\pi\) |
−0.999966 | + | 0.00827642i | \(0.997366\pi\) | |||||||
\(258\) | 0.307877 | + | 8.30553i | 0.0191676 | + | 0.517080i | ||||
\(259\) | 3.43482 | − | 15.5976i | 0.213429 | − | 0.969188i | ||||
\(260\) | −1.35772 | − | 1.70252i | −0.0842020 | − | 0.105586i | ||||
\(261\) | 24.1572 | + | 5.53142i | 1.49529 | + | 0.342386i | ||||
\(262\) | 4.16169 | − | 1.28371i | 0.257110 | − | 0.0793080i | ||||
\(263\) | −25.4258 | −1.56782 | −0.783910 | − | 0.620875i | \(-0.786777\pi\) | ||||
−0.783910 | + | 0.620875i | \(0.786777\pi\) | |||||||
\(264\) | 7.97483 | − | 6.85807i | 0.490817 | − | 0.422085i | ||||
\(265\) | −3.13717 | + | 0.967690i | −0.192715 | + | 0.0594447i | ||||
\(266\) | −15.0062 | − | 2.14463i | −0.920089 | − | 0.131496i | ||||
\(267\) | 13.7088 | − | 5.97540i | 0.838963 | − | 0.365688i | ||||
\(268\) | −4.70287 | + | 4.36363i | −0.287274 | + | 0.266551i | ||||
\(269\) | 2.55058 | − | 6.49877i | 0.155512 | − | 0.396237i | −0.831791 | − | 0.555089i | \(-0.812684\pi\) |
0.987302 | + | 0.158852i | \(0.0507793\pi\) | |||||||
\(270\) | 3.95139 | − | 0.743371i | 0.240474 | − | 0.0452401i | ||||
\(271\) | −18.1817 | − | 5.60832i | −1.10446 | − | 0.340681i | −0.311679 | − | 0.950187i | \(-0.600891\pi\) |
−0.792781 | + | 0.609507i | \(0.791368\pi\) | |||||||
\(272\) | 7.16814 | + | 2.21108i | 0.434632 | + | 0.134066i | ||||
\(273\) | 7.73366 | + | 10.3203i | 0.468062 | + | 0.624611i | ||||
\(274\) | 14.3075 | − | 4.41328i | 0.864348 | − | 0.266616i | ||||
\(275\) | 26.7273 | 1.61171 | ||||||||
\(276\) | 1.94081 | + | 10.2770i | 0.116823 | + | 0.618603i | ||||
\(277\) | −0.744399 | + | 3.26143i | −0.0447266 | + | 0.195960i | −0.992355 | − | 0.123414i | \(-0.960616\pi\) |
0.947629 | + | 0.319374i | \(0.103473\pi\) | |||||||
\(278\) | −0.728685 | + | 9.72363i | −0.0437036 | + | 0.583185i | ||||
\(279\) | 0.0173609 | − | 24.9446i | 0.00103937 | − | 1.49339i | ||||
\(280\) | −0.733352 | + | 1.91139i | −0.0438262 | + | 0.114227i | ||||
\(281\) | 11.3583 | + | 28.9404i | 0.677578 | + | 1.72644i | 0.687181 | + | 0.726487i | \(0.258848\pi\) |
−0.00960251 | + | 0.999954i | \(0.503057\pi\) | |||||||
\(282\) | −6.78352 | − | 0.256186i | −0.403953 | − | 0.0152556i | ||||
\(283\) | −3.66262 | − | 9.33220i | −0.217720 | − | 0.554742i | 0.779729 | − | 0.626117i | \(-0.215357\pi\) |
−0.997450 | + | 0.0713747i | \(0.977261\pi\) | |||||||
\(284\) | −0.627411 | + | 8.37222i | −0.0372300 | + | 0.496800i | ||||
\(285\) | 5.01081 | − | 5.81857i | 0.296815 | − | 0.344662i | ||||
\(286\) | −14.1203 | + | 9.62703i | −0.834949 | + | 0.569258i | ||||
\(287\) | −7.98221 | + | 5.53203i | −0.471175 | + | 0.326545i | ||||
\(288\) | 2.92432 | + | 0.669598i | 0.172317 | + | 0.0394565i | ||||
\(289\) | 32.4473 | − | 22.1222i | 1.90866 | − | 1.30130i | ||||
\(290\) | −1.42237 | − | 6.23183i | −0.0835246 | − | 0.365945i | ||||
\(291\) | −2.26132 | + | 8.42764i | −0.132561 | + | 0.494037i | ||||
\(292\) | −0.880363 | + | 1.10394i | −0.0515194 | + | 0.0646032i | ||||
\(293\) | 5.92772 | + | 10.2671i | 0.346301 | + | 0.599811i | 0.985589 | − | 0.169156i | \(-0.0541042\pi\) |
−0.639288 | + | 0.768967i | \(0.720771\pi\) | |||||||
\(294\) | 4.68186 | − | 11.1839i | 0.273052 | − | 0.652260i | ||||
\(295\) | −1.28636 | + | 2.22804i | −0.0748946 | + | 0.129721i | ||||
\(296\) | 2.20542 | + | 5.61931i | 0.128187 | + | 0.326616i | ||||
\(297\) | −3.50023 | − | 31.3596i | −0.203104 | − | 1.81967i | ||||
\(298\) | 5.93060 | − | 5.50279i | 0.343550 | − | 0.318768i | ||||
\(299\) | −1.26990 | − | 16.9457i | −0.0734403 | − | 0.979993i | ||||
\(300\) | 4.52467 | + | 6.13518i | 0.261232 | + | 0.354215i | ||||
\(301\) | −11.3959 | + | 5.59570i | −0.656850 | + | 0.322531i | ||||
\(302\) | 0.500963 | + | 6.68489i | 0.0288272 | + | 0.384672i | ||||
\(303\) | 19.8034 | + | 3.75413i | 1.13767 | + | 0.215669i | ||||
\(304\) | 5.16205 | − | 2.48591i | 0.296064 | − | 0.142577i | ||||
\(305\) | 1.32165 | + | 0.199207i | 0.0756776 | + | 0.0114066i | ||||
\(306\) | 17.6043 | − | 14.0189i | 1.00637 | − | 0.801407i | ||||
\(307\) | −1.00726 | + | 1.26307i | −0.0574876 | + | 0.0720872i | −0.809744 | − | 0.586783i | \(-0.800394\pi\) |
0.752256 | + | 0.658870i | \(0.228965\pi\) | |||||||
\(308\) | 14.5285 | + | 6.86022i | 0.827836 | + | 0.390897i | ||||
\(309\) | 17.9381 | + | 3.40053i | 1.02046 | + | 0.193450i | ||||
\(310\) | −5.79676 | + | 2.79157i | −0.329234 | + | 0.158551i | ||||
\(311\) | −1.51509 | − | 1.40580i | −0.0859130 | − | 0.0797156i | 0.636047 | − | 0.771650i | \(-0.280568\pi\) |
−0.721960 | + | 0.691934i | \(0.756759\pi\) | |||||||
\(312\) | −4.60029 | − | 1.61151i | −0.260440 | − | 0.0912337i | ||||
\(313\) | 8.58094 | + | 14.8626i | 0.485023 | + | 0.840085i | 0.999852 | − | 0.0172082i | \(-0.00547782\pi\) |
−0.514829 | + | 0.857293i | \(0.672144\pi\) | |||||||
\(314\) | 0.254241 | − | 1.11390i | 0.0143476 | − | 0.0628611i | ||||
\(315\) | 3.49494 | + | 5.05038i | 0.196917 | + | 0.284556i | ||||
\(316\) | 0.470074 | + | 2.05953i | 0.0264437 | + | 0.115857i | ||||
\(317\) | −6.18259 | + | 5.73661i | −0.347249 | + | 0.322200i | −0.834444 | − | 0.551093i | \(-0.814211\pi\) |
0.487194 | + | 0.873294i | \(0.338020\pi\) | |||||||
\(318\) | −4.79545 | + | 5.56849i | −0.268915 | + | 0.312266i | ||||
\(319\) | −49.6046 | + | 7.47669i | −2.77732 | + | 0.418614i | ||||
\(320\) | −0.172183 | − | 0.754385i | −0.00962535 | − | 0.0421714i | ||||
\(321\) | 9.77049 | − | 4.25878i | 0.545336 | − | 0.237702i | ||||
\(322\) | −13.1307 | + | 9.10017i | −0.731745 | + | 0.507132i | ||||
\(323\) | 9.56369 | − | 41.9013i | 0.532138 | − | 2.33145i | ||||
\(324\) | 6.60598 | − | 6.11237i | 0.366999 | − | 0.339576i | ||||
\(325\) | −6.19307 | − | 10.7267i | −0.343530 | − | 0.595011i | ||||
\(326\) | 1.71732 | − | 7.52405i | 0.0951133 | − | 0.416719i | ||||
\(327\) | 20.2648 | − | 2.27616i | 1.12065 | − | 0.125872i | ||||
\(328\) | 1.34106 | − | 3.41697i | 0.0740478 | − | 0.188671i | ||||
\(329\) | −3.86204 | − | 9.62335i | −0.212921 | − | 0.530553i | ||||
\(330\) | −6.89280 | + | 4.32769i | −0.379436 | + | 0.238232i | ||||
\(331\) | −12.2135 | + | 3.76736i | −0.671313 | + | 0.207073i | −0.611629 | − | 0.791145i | \(-0.709486\pi\) |
−0.0596842 | + | 0.998217i | \(0.519009\pi\) | |||||||
\(332\) | 15.1171 | + | 2.27853i | 0.829658 | + | 0.125051i | ||||
\(333\) | 17.6529 | + | 4.04209i | 0.967374 | + | 0.221505i | ||||
\(334\) | −11.0892 | + | 1.67143i | −0.606773 | + | 0.0914564i | ||||
\(335\) | 4.10161 | − | 2.79643i | 0.224095 | − | 0.152785i | ||||
\(336\) | 0.884785 | + | 4.49635i | 0.0482690 | + | 0.245296i | ||||
\(337\) | 7.49218 | + | 5.10808i | 0.408125 | + | 0.278255i | 0.749932 | − | 0.661515i | \(-0.230086\pi\) |
−0.341806 | + | 0.939770i | \(0.611039\pi\) | |||||||
\(338\) | −4.57703 | − | 2.20418i | −0.248957 | − | 0.119892i | ||||
\(339\) | 2.50684 | − | 22.1795i | 0.136153 | − | 1.20462i | ||||
\(340\) | −5.22965 | − | 2.51847i | −0.283618 | − | 0.136583i | ||||
\(341\) | 18.4472 | + | 47.0028i | 0.998974 | + | 2.54534i | ||||
\(342\) | 2.57362 | − | 16.9946i | 0.139165 | − | 0.918960i | ||||
\(343\) | 18.5154 | − | 0.424693i | 0.999737 | − | 0.0229313i | ||||
\(344\) | 2.39925 | − | 4.15562i | 0.129359 | − | 0.224056i | ||||
\(345\) | −0.299784 | − | 8.08720i | −0.0161398 | − | 0.435400i | ||||
\(346\) | −9.30009 | + | 6.34069i | −0.499976 | + | 0.340878i | ||||
\(347\) | 5.34101 | + | 1.64748i | 0.286720 | + | 0.0884416i | 0.434779 | − | 0.900537i | \(-0.356826\pi\) |
−0.148059 | + | 0.988979i | \(0.547303\pi\) | |||||||
\(348\) | −10.1139 | − | 10.1209i | −0.542159 | − | 0.542537i | ||||
\(349\) | 2.52288 | − | 33.6655i | 0.135047 | − | 1.80207i | −0.359732 | − | 0.933056i | \(-0.617132\pi\) |
0.494779 | − | 0.869019i | \(-0.335249\pi\) | |||||||
\(350\) | −5.74505 | + | 10.1288i | −0.307086 | + | 0.541405i | ||||
\(351\) | −11.7748 | + | 8.67124i | −0.628493 | + | 0.462837i | ||||
\(352\) | −6.00482 | + | 0.905081i | −0.320058 | + | 0.0482410i | ||||
\(353\) | 21.0139 | − | 10.1198i | 1.11846 | − | 0.538620i | 0.219041 | − | 0.975716i | \(-0.429707\pi\) |
0.899415 | + | 0.437096i | \(0.143993\pi\) | |||||||
\(354\) | 0.213326 | + | 5.75484i | 0.0113381 | + | 0.305866i | ||||
\(355\) | 1.44560 | − | 6.33359i | 0.0767245 | − | 0.336152i | ||||
\(356\) | −8.53753 | − | 1.28682i | −0.452488 | − | 0.0682016i | ||||
\(357\) | 30.5085 | + | 15.8405i | 1.61468 | + | 0.838370i | ||||
\(358\) | 1.31183 | − | 0.197727i | 0.0693324 | − | 0.0104502i | ||||
\(359\) | 1.49879 | − | 19.9999i | 0.0791030 | − | 1.05556i | −0.806537 | − | 0.591184i | \(-0.798661\pi\) |
0.885640 | − | 0.464373i | \(-0.153720\pi\) | |||||||
\(360\) | −2.16030 | − | 0.849591i | −0.113858 | − | 0.0447774i | ||||
\(361\) | −6.91325 | − | 11.9741i | −0.363855 | − | 0.630215i | ||||
\(362\) | −0.736259 | − | 1.27524i | −0.0386969 | − | 0.0670250i | ||||
\(363\) | 20.9293 | + | 39.6336i | 1.09850 | + | 2.08022i | ||||
\(364\) | −0.613164 | − | 7.42046i | −0.0321385 | − | 0.388938i | ||||
\(365\) | 0.800918 | − | 0.743143i | 0.0419219 | − | 0.0388979i | ||||
\(366\) | 2.74260 | − | 1.19545i | 0.143358 | − | 0.0624872i | ||||
\(367\) | 18.0903 | + | 22.6845i | 0.944304 | + | 1.18412i | 0.982765 | + | 0.184859i | \(0.0591829\pi\) |
−0.0384615 | + | 0.999260i | \(0.512246\pi\) | |||||||
\(368\) | 2.20604 | − | 5.62090i | 0.114998 | − | 0.293010i | ||||
\(369\) | −6.19703 | − | 9.10298i | −0.322604 | − | 0.473882i | ||||
\(370\) | −1.03940 | − | 4.55392i | −0.0540359 | − | 0.236747i | ||||
\(371\) | −10.7517 | − | 3.22666i | −0.558200 | − | 0.167520i | ||||
\(372\) | −7.66644 | + | 12.1917i | −0.397487 | + | 0.632108i | ||||
\(373\) | −15.2684 | −0.790568 | −0.395284 | − | 0.918559i | \(-0.629354\pi\) | ||||
−0.395284 | + | 0.918559i | \(0.629354\pi\) | |||||||
\(374\) | −22.7767 | + | 39.4504i | −1.17775 | + | 2.03993i | ||||
\(375\) | −5.88366 | − | 11.1418i | −0.303831 | − | 0.575361i | ||||
\(376\) | 3.23825 | + | 2.20780i | 0.167000 | + | 0.113859i | ||||
\(377\) | 14.4948 | + | 18.1758i | 0.746518 | + | 0.936104i | ||||
\(378\) | 12.6367 | + | 5.41432i | 0.649960 | + | 0.278482i | ||||
\(379\) | −22.7495 | + | 28.5270i | −1.16856 | + | 1.46533i | −0.311406 | + | 0.950277i | \(0.600800\pi\) |
−0.857157 | + | 0.515055i | \(0.827771\pi\) | |||||||
\(380\) | −4.23640 | + | 1.30676i | −0.217323 | + | 0.0670351i | ||||
\(381\) | 0.628529 | + | 16.9557i | 0.0322005 | + | 0.868667i | ||||
\(382\) | −1.79661 | + | 23.9741i | −0.0919228 | + | 1.22662i | ||||
\(383\) | 10.9444 | + | 13.7238i | 0.559232 | + | 0.701255i | 0.978416 | − | 0.206647i | \(-0.0662551\pi\) |
−0.419184 | + | 0.907901i | \(0.637684\pi\) | |||||||
\(384\) | −1.22432 | − | 1.22517i | −0.0624782 | − | 0.0625217i | ||||
\(385\) | −10.3252 | − | 6.92457i | −0.526220 | − | 0.352909i | ||||
\(386\) | 3.57353 | − | 1.72092i | 0.181888 | − | 0.0875925i | ||||
\(387\) | −6.23694 | − | 12.9742i | −0.317041 | − | 0.659517i | ||||
\(388\) | 3.69298 | − | 3.42658i | 0.187483 | − | 0.173958i | ||||
\(389\) | −13.0164 | − | 6.26837i | −0.659958 | − | 0.317819i | 0.0737573 | − | 0.997276i | \(-0.476501\pi\) |
−0.733715 | + | 0.679457i | \(0.762215\pi\) | |||||||
\(390\) | 3.33403 | + | 1.76357i | 0.168825 | + | 0.0893019i | ||||
\(391\) | −22.6479 | − | 39.2273i | −1.14535 | − | 1.98381i | ||||
\(392\) | −5.72271 | + | 4.03120i | −0.289041 | + | 0.203606i | ||||
\(393\) | −5.71939 | + | 4.91847i | −0.288505 | + | 0.248104i | ||||
\(394\) | 2.72690 | + | 0.411015i | 0.137379 | + | 0.0207066i | ||||
\(395\) | −0.122155 | − | 1.63004i | −0.00614628 | − | 0.0820165i | ||||
\(396\) | −7.91589 | + | 16.4083i | −0.397788 | + | 0.824547i | ||||
\(397\) | −2.52710 | + | 1.72294i | −0.126831 | + | 0.0864721i | −0.625074 | − | 0.780565i | \(-0.714931\pi\) |
0.498243 | + | 0.867038i | \(0.333979\pi\) | |||||||
\(398\) | −1.08108 | + | 14.4260i | −0.0541897 | + | 0.723112i | ||||
\(399\) | 25.3107 | − | 6.98031i | 1.26712 | − | 0.349453i | ||||
\(400\) | −0.328906 | − | 4.38895i | −0.0164453 | − | 0.219447i | ||||
\(401\) | −15.5387 | − | 19.4849i | −0.775963 | − | 0.973027i | 0.224035 | − | 0.974581i | \(-0.428077\pi\) |
−0.999999 | + | 0.00155371i | \(0.999505\pi\) | |||||||
\(402\) | 4.44711 | − | 10.1832i | 0.221802 | − | 0.507893i | ||||
\(403\) | 14.5896 | − | 18.2948i | 0.726760 | − | 0.911329i | ||||
\(404\) | −8.53060 | − | 7.91524i | −0.424413 | − | 0.393798i | ||||
\(405\) | −5.75944 | + | 3.91499i | −0.286189 | + | 0.194537i | ||||
\(406\) | 7.82914 | − | 20.4056i | 0.388554 | − | 1.01272i | ||||
\(407\) | −36.2486 | + | 5.46360i | −1.79678 | + | 0.270821i | ||||
\(408\) | −12.9116 | + | 1.45024i | −0.639220 | + | 0.0717976i | ||||
\(409\) | −6.16127 | − | 5.71682i | −0.304655 | − | 0.282679i | 0.512998 | − | 0.858390i | \(-0.328535\pi\) |
−0.817653 | + | 0.575711i | \(0.804725\pi\) | |||||||
\(410\) | −1.42017 | + | 2.45981i | −0.0701373 | + | 0.121481i | ||||
\(411\) | −19.6627 | + | 16.9092i | −0.969891 | + | 0.834071i | ||||
\(412\) | −7.72710 | − | 7.16970i | −0.380687 | − | 0.353226i | ||||
\(413\) | −7.89615 | + | 3.87722i | −0.388544 | + | 0.190786i | ||||
\(414\) | −10.1941 | − | 14.9744i | −0.501012 | − | 0.735949i | ||||
\(415\) | −11.3040 | − | 3.48681i | −0.554890 | − | 0.171161i | ||||
\(416\) | 1.75464 | + | 2.20025i | 0.0860284 | + | 0.107876i | ||||
\(417\) | −5.57255 | − | 15.9432i | −0.272889 | − | 0.780743i | ||||
\(418\) | 7.74214 | + | 33.9205i | 0.378680 | + | 1.65911i | ||||
\(419\) | 1.28592 | − | 1.19316i | 0.0628214 | − | 0.0582897i | −0.648137 | − | 0.761523i | \(-0.724452\pi\) |
0.710959 | + | 0.703234i | \(0.248261\pi\) | |||||||
\(420\) | −0.158437 | − | 3.54239i | −0.00773095 | − | 0.172851i | ||||
\(421\) | 8.58326 | + | 7.96410i | 0.418323 | + | 0.388147i | 0.861059 | − | 0.508505i | \(-0.169802\pi\) |
−0.442736 | + | 0.896652i | \(0.645992\pi\) | |||||||
\(422\) | 13.9746 | − | 24.2047i | 0.680273 | − | 1.17827i | ||||
\(423\) | 10.9480 | − | 4.28798i | 0.532310 | − | 0.208489i | ||||
\(424\) | 4.05432 | − | 1.25059i | 0.196895 | − | 0.0607341i | ||||
\(425\) | −27.2788 | − | 18.5983i | −1.32321 | − | 0.902152i | ||||
\(426\) | −4.79807 | − | 13.7274i | −0.232467 | − | 0.665095i | ||||
\(427\) | 3.37377 | + | 3.08274i | 0.163268 | + | 0.149184i | ||||
\(428\) | −6.08485 | − | 0.917144i | −0.294122 | − | 0.0443318i | ||||
\(429\) | 15.7571 | − | 25.0579i | 0.760759 | − | 1.20981i | ||||
\(430\) | −2.31502 | + | 2.90294i | −0.111640 | + | 0.139992i | ||||
\(431\) | −1.54911 | − | 1.05617i | −0.0746181 | − | 0.0508737i | 0.525436 | − | 0.850833i | \(-0.323902\pi\) |
−0.600054 | + | 0.799959i | \(0.704854\pi\) | |||||||
\(432\) | −5.10657 | + | 0.960694i | −0.245690 | + | 0.0462214i | ||||
\(433\) | 30.9027 | + | 14.8819i | 1.48509 | + | 0.715181i | 0.988276 | − | 0.152678i | \(-0.0487897\pi\) |
0.496812 | + | 0.867858i | \(0.334504\pi\) | |||||||
\(434\) | −21.7778 | − | 3.11240i | −1.04537 | − | 0.149400i | ||||
\(435\) | 6.57133 | + | 8.91033i | 0.315071 | + | 0.427218i | ||||
\(436\) | −10.6075 | − | 5.10832i | −0.508009 | − | 0.244644i | ||||
\(437\) | −33.0591 | − | 10.1974i | −1.58143 | − | 0.487807i | ||||
\(438\) | 0.633801 | − | 2.36209i | 0.0302842 | − | 0.112865i | ||||
\(439\) | −0.402312 | − | 0.0606387i | −0.0192013 | − | 0.00289413i | 0.139435 | − | 0.990231i | \(-0.455471\pi\) |
−0.158636 | + | 0.987337i | \(0.550710\pi\) | |||||||
\(440\) | 4.69892 | 0.224012 | ||||||||
\(441\) | 0.306439 | + | 20.9978i | 0.0145924 | + | 0.999894i | ||||
\(442\) | 21.1107 | 1.00413 | ||||||||
\(443\) | 10.8576 | + | 1.63652i | 0.515861 | + | 0.0777536i | 0.401813 | − | 0.915722i | \(-0.368380\pi\) |
0.114048 | + | 0.993475i | \(0.463618\pi\) | |||||||
\(444\) | −7.39072 | − | 7.39586i | −0.350748 | − | 0.350992i | ||||
\(445\) | 6.38402 | + | 1.96921i | 0.302632 | + | 0.0933495i | ||||
\(446\) | 10.9460 | + | 5.27130i | 0.518307 | + | 0.249603i | ||||
\(447\) | −5.60807 | + | 12.8416i | −0.265253 | + | 0.607389i | ||||
\(448\) | 0.947746 | − | 2.47018i | 0.0447768 | − | 0.116705i | ||||
\(449\) | −11.2869 | − | 5.43549i | −0.532663 | − | 0.256517i | 0.148162 | − | 0.988963i | \(-0.452664\pi\) |
−0.680825 | + | 0.732446i | \(0.738379\pi\) | |||||||
\(450\) | −11.4302 | − | 6.60984i | −0.538825 | − | 0.311591i | ||||
\(451\) | 18.4176 | + | 12.5569i | 0.867253 | + | 0.591283i | ||||
\(452\) | −8.03482 | + | 10.0753i | −0.377926 | + | 0.473904i | ||||
\(453\) | −5.42190 | − | 10.2674i | −0.254743 | − | 0.482404i | ||||
\(454\) | −0.701144 | − | 0.105680i | −0.0329063 | − | 0.00495983i | ||||
\(455\) | −0.386619 | + | 5.74843i | −0.0181250 | + | 0.269490i | ||||
\(456\) | −6.47571 | + | 7.51962i | −0.303253 | + | 0.352138i | ||||
\(457\) | 12.6522 | + | 8.62615i | 0.591847 | + | 0.403514i | 0.821874 | − | 0.569670i | \(-0.192929\pi\) |
−0.230027 | + | 0.973184i | \(0.573881\pi\) | |||||||
\(458\) | 1.76708 | − | 0.545073i | 0.0825703 | − | 0.0254696i | ||||
\(459\) | −18.2494 | + | 34.4424i | −0.851807 | + | 1.60763i | ||||
\(460\) | −2.33618 | + | 4.04638i | −0.108925 | + | 0.188663i | ||||
\(461\) | −26.5962 | − | 24.6776i | −1.23871 | − | 1.14935i | −0.983197 | − | 0.182546i | \(-0.941566\pi\) |
−0.255510 | − | 0.966806i | \(-0.582243\pi\) | |||||||
\(462\) | −27.8157 | − | 0.837603i | −1.29411 | − | 0.0389688i | ||||
\(463\) | 10.3588 | − | 9.61156i | 0.481414 | − | 0.446687i | −0.401751 | − | 0.915749i | \(-0.631598\pi\) |
0.883165 | + | 0.469062i | \(0.155408\pi\) | |||||||
\(464\) | 1.83820 | + | 8.05369i | 0.0853363 | + | 0.373883i | ||||
\(465\) | 7.27195 | − | 8.44421i | 0.337229 | − | 0.391591i | ||||
\(466\) | 13.0397 | + | 16.3513i | 0.604054 | + | 0.757459i | ||||
\(467\) | 10.6920 | + | 3.29803i | 0.494765 | + | 0.152615i | 0.532089 | − | 0.846688i | \(-0.321407\pi\) |
−0.0373240 | + | 0.999303i | \(0.511883\pi\) | |||||||
\(468\) | 8.41952 | − | 0.625063i | 0.389192 | − | 0.0288936i | ||||
\(469\) | 16.9732 | − | 0.129753i | 0.783752 | − | 0.00599145i | ||||
\(470\) | −2.22310 | − | 2.06274i | −0.102544 | − | 0.0951470i | ||||
\(471\) | 0.367233 | + | 1.94458i | 0.0169212 | + | 0.0896014i | ||||
\(472\) | 1.66242 | − | 2.87940i | 0.0765191 | − | 0.132535i | ||||
\(473\) | 21.3608 | + | 19.8199i | 0.982170 | + | 0.911321i | ||||
\(474\) | −2.17173 | − | 2.94473i | −0.0997508 | − | 0.135256i | ||||
\(475\) | −24.9351 | + | 3.75836i | −1.14410 | + | 0.172445i | ||||
\(476\) | −10.0545 | − | 17.1115i | −0.460848 | − | 0.784305i | ||||
\(477\) | 3.76024 | − | 12.1603i | 0.172170 | − | 0.556784i | ||||
\(478\) | 7.63357 | + | 7.08291i | 0.349151 | + | 0.323965i | ||||
\(479\) | 1.17453 | − | 1.47282i | 0.0536657 | − | 0.0672947i | −0.754274 | − | 0.656559i | \(-0.772011\pi\) |
0.807940 | + | 0.589265i | \(0.200583\pi\) | |||||||
\(480\) | 0.795484 | + | 1.07863i | 0.0363087 | + | 0.0492324i | ||||
\(481\) | 10.5921 | + | 13.2820i | 0.482957 | + | 0.605609i | ||||
\(482\) | −1.58997 | − | 21.2166i | −0.0724210 | − | 0.966391i | ||||
\(483\) | 14.5505 | − | 23.5365i | 0.662072 | − | 1.07095i | ||||
\(484\) | 1.93379 | − | 25.8046i | 0.0878996 | − | 1.17294i | ||||
\(485\) | −3.22083 | + | 2.19593i | −0.146251 | + | 0.0997119i | ||||
\(486\) | −6.25855 | + | 14.2769i | −0.283894 | + | 0.647614i | ||||
\(487\) | 2.33384 | + | 31.1429i | 0.105756 | + | 1.41122i | 0.757527 | + | 0.652803i | \(0.226407\pi\) |
−0.651771 | + | 0.758416i | \(0.725974\pi\) | |||||||
\(488\) | −1.70803 | − | 0.257445i | −0.0773191 | − | 0.0116540i | ||||
\(489\) | 2.48054 | + | 13.1350i | 0.112174 | + | 0.593985i | ||||
\(490\) | 4.84360 | − | 2.42446i | 0.218811 | − | 0.109526i | ||||
\(491\) | 14.0834 | + | 24.3931i | 0.635574 | + | 1.10085i | 0.986393 | + | 0.164403i | \(0.0525698\pi\) |
−0.350819 | + | 0.936443i | \(0.614097\pi\) | |||||||
\(492\) | 0.235517 | + | 6.35350i | 0.0106179 | + | 0.286438i | ||||
\(493\) | 55.8309 | + | 26.8867i | 2.51450 | + | 1.21092i | ||||
\(494\) | 11.8197 | − | 10.9671i | 0.531793 | − | 0.493432i | ||||
\(495\) | 7.94910 | − | 11.6418i | 0.357285 | − | 0.523259i | ||||
\(496\) | 7.49143 | − | 3.60768i | 0.336375 | − | 0.161990i | ||||
\(497\) | 16.1673 | − | 15.2327i | 0.725201 | − | 0.683278i | ||||
\(498\) | −25.5794 | + | 6.84445i | −1.14624 | + | 0.306707i | ||||
\(499\) | 14.1509 | + | 17.7447i | 0.633481 | + | 0.794360i | 0.990171 | − | 0.139863i | \(-0.0446661\pi\) |
−0.356690 | + | 0.934223i | \(0.616095\pi\) | |||||||
\(500\) | −0.543628 | + | 7.25421i | −0.0243118 | + | 0.324418i | ||||
\(501\) | 16.4504 | − | 10.3285i | 0.734948 | − | 0.461442i | ||||
\(502\) | 0.0398173 | − | 0.0122820i | 0.00177713 | − | 0.000548173i | ||||
\(503\) | 0.230146 | − | 0.288594i | 0.0102617 | − | 0.0128678i | −0.776674 | − | 0.629903i | \(-0.783095\pi\) |
0.786936 | + | 0.617035i | \(0.211666\pi\) | |||||||
\(504\) | −4.51667 | − | 6.52684i | −0.201189 | − | 0.290729i | ||||
\(505\) | 5.61429 | + | 7.04009i | 0.249833 | + | 0.313280i | ||||
\(506\) | 30.2969 | + | 20.6561i | 1.34686 | + | 0.918276i | ||||
\(507\) | 8.79275 | + | 0.332066i | 0.390500 | + | 0.0147476i | ||||
\(508\) | 4.89805 | − | 8.48368i | 0.217316 | − | 0.376402i | ||||
\(509\) | −34.3370 | −1.52196 | −0.760980 | − | 0.648776i | \(-0.775281\pi\) | ||||
−0.760980 | + | 0.648776i | \(0.775281\pi\) | |||||||
\(510\) | 10.0465 | + | 0.379414i | 0.444866 | + | 0.0168007i | ||||
\(511\) | 3.68969 | − | 0.585012i | 0.163222 | − | 0.0258794i | ||||
\(512\) | 0.222521 | + | 0.974928i | 0.00983413 | + | 0.0430861i | ||||
\(513\) | 7.67529 | + | 28.7647i | 0.338872 | + | 1.26999i | ||||
\(514\) | −2.70098 | + | 6.88198i | −0.119135 | + | 0.303551i | ||||
\(515\) | 5.08548 | + | 6.37699i | 0.224093 | + | 0.281004i | ||||
\(516\) | −0.933437 | + | 8.25865i | −0.0410923 | + | 0.363567i | ||||
\(517\) | −17.4468 | + | 16.1883i | −0.767311 | + | 0.711961i | ||||
\(518\) | 5.72116 | − | 14.9115i | 0.251373 | − | 0.655172i | ||||
\(519\) | 10.3782 | − | 16.5040i | 0.455551 | − | 0.724445i | ||||
\(520\) | −1.08880 | − | 1.88587i | −0.0477472 | − | 0.0827007i | ||||
\(521\) | −12.7911 | − | 22.1548i | −0.560388 | − | 0.970620i | −0.997462 | − | 0.0711947i | \(-0.977319\pi\) |
0.437075 | − | 0.899425i | \(-0.356015\pi\) | |||||||
\(522\) | 23.0630 | + | 9.07008i | 1.00944 | + | 0.396987i | ||||
\(523\) | −2.37689 | + | 31.7174i | −0.103934 | + | 1.38691i | 0.664649 | + | 0.747156i | \(0.268581\pi\) |
−0.768583 | + | 0.639750i | \(0.779038\pi\) | |||||||
\(524\) | 4.30654 | − | 0.649106i | 0.188132 | − | 0.0283563i | ||||
\(525\) | 2.11193 | − | 20.0582i | 0.0921720 | − | 0.875412i | ||||
\(526\) | −25.1418 | − | 3.78951i | −1.09623 | − | 0.165231i | ||||
\(527\) | 13.8793 | − | 60.8093i | 0.604593 | − | 2.64889i | ||||
\(528\) | 8.90790 | − | 5.59288i | 0.387667 | − | 0.243399i | ||||
\(529\) | −12.1281 | + | 5.84059i | −0.527309 | + | 0.253939i | ||||
\(530\) | −3.24636 | + | 0.489310i | −0.141013 | + | 0.0212543i | ||||
\(531\) | −4.32153 | − | 8.98974i | −0.187538 | − | 0.390122i | ||||
\(532\) | −14.5190 | − | 4.35724i | −0.629476 | − | 0.188910i | ||||
\(533\) | 0.771979 | − | 10.3013i | 0.0334381 | − | 0.446201i | ||||
\(534\) | 14.4462 | − | 3.86547i | 0.625150 | − | 0.167275i | ||||
\(535\) | 4.55001 | + | 1.40349i | 0.196714 | + | 0.0606783i | ||||
\(536\) | −5.30071 | + | 3.61396i | −0.228956 | + | 0.156099i | ||||
\(537\) | −1.94605 | + | 1.22184i | −0.0839781 | + | 0.0527262i | ||||
\(538\) | 3.49068 | − | 6.04604i | 0.150494 | − | 0.260663i | ||||
\(539\) | −16.1332 | − | 39.3280i | −0.694908 | − | 1.69398i | ||||
\(540\) | 4.01805 | − | 0.146144i | 0.172909 | − | 0.00628905i | ||||
\(541\) | 3.20916 | + | 8.17681i | 0.137973 | + | 0.351548i | 0.983114 | − | 0.182994i | \(-0.0585790\pi\) |
−0.845141 | + | 0.534543i | \(0.820484\pi\) | |||||||
\(542\) | −17.1428 | − | 8.25552i | −0.736345 | − | 0.354605i | ||||
\(543\) | 2.05158 | + | 1.51524i | 0.0880417 | + | 0.0650251i | ||||
\(544\) | 6.75853 | + | 3.25474i | 0.289770 | + | 0.139546i | ||||
\(545\) | 7.52716 | + | 5.13193i | 0.322428 | + | 0.219828i | ||||
\(546\) | 6.10912 | + | 11.3576i | 0.261446 | + | 0.486062i | ||||
\(547\) | −20.7936 | + | 14.1768i | −0.889071 | + | 0.606158i | −0.919375 | − | 0.393382i | \(-0.871305\pi\) |
0.0303041 | + | 0.999541i | \(0.490352\pi\) | |||||||
\(548\) | 14.8055 | − | 2.23157i | 0.632458 | − | 0.0953278i | ||||
\(549\) | −3.52728 | + | 3.79621i | −0.150541 | + | 0.162018i | ||||
\(550\) | 26.4287 | + | 3.98349i | 1.12693 | + | 0.169857i | ||||
\(551\) | 45.2270 | − | 13.9507i | 1.92674 | − | 0.594320i | ||||
\(552\) | 0.387425 | + | 10.4515i | 0.0164899 | + | 0.444845i | ||||
\(553\) | 2.75748 | − | 4.86155i | 0.117260 | − | 0.206734i | ||||
\(554\) | −1.22218 | + | 3.11405i | −0.0519253 | + | 0.132303i | ||||
\(555\) | 4.80201 | + | 6.51124i | 0.203834 | + | 0.276387i | ||||
\(556\) | −2.16978 | + | 9.50642i | −0.0920191 | + | 0.403162i | ||||
\(557\) | 7.14102 | + | 12.3686i | 0.302575 | + | 0.524075i | 0.976718 | − | 0.214526i | \(-0.0688205\pi\) |
−0.674144 | + | 0.738600i | \(0.735487\pi\) | |||||||
\(558\) | 3.73496 | − | 24.6634i | 0.158114 | − | 1.04408i | ||||
\(559\) | 3.00494 | − | 13.1655i | 0.127095 | − | 0.556841i | ||||
\(560\) | −1.01004 | + | 1.78074i | −0.0426819 | + | 0.0752499i | ||||
\(561\) | 8.86136 | − | 78.4015i | 0.374127 | − | 3.31011i | ||||
\(562\) | 6.91807 | + | 30.3100i | 0.291821 | + | 1.27855i | ||||
\(563\) | −22.9292 | + | 3.45603i | −0.966352 | + | 0.145654i | −0.613214 | − | 0.789917i | \(-0.710124\pi\) |
−0.353138 | + | 0.935571i | \(0.614886\pi\) | |||||||
\(564\) | −6.66958 | − | 1.26436i | −0.280840 | − | 0.0532390i | ||||
\(565\) | 7.30974 | − | 6.78245i | 0.307523 | − | 0.285340i | ||||
\(566\) | −2.23082 | − | 9.77386i | −0.0937683 | − | 0.410826i | ||||
\(567\) | −23.8113 | + | 0.148881i | −0.999980 | + | 0.00625243i | ||||
\(568\) | −1.86822 | + | 8.18520i | −0.0783887 | + | 0.343443i | ||||
\(569\) | −21.2444 | − | 36.7964i | −0.890612 | − | 1.54259i | −0.839143 | − | 0.543911i | \(-0.816943\pi\) |
−0.0514689 | − | 0.998675i | \(-0.516390\pi\) | |||||||
\(570\) | 5.82206 | − | 5.00676i | 0.243859 | − | 0.209710i | ||||
\(571\) | 1.07800 | + | 1.00024i | 0.0451131 | + | 0.0418588i | 0.702407 | − | 0.711775i | \(-0.252109\pi\) |
−0.657294 | + | 0.753634i | \(0.728299\pi\) | |||||||
\(572\) | −15.3974 | + | 7.41499i | −0.643797 | + | 0.310036i | ||||
\(573\) | −13.7394 | − | 39.3089i | −0.573973 | − | 1.64215i | ||||
\(574\) | −8.71756 | + | 4.28056i | −0.363864 | + | 0.178667i | ||||
\(575\) | −16.5700 | + | 20.7781i | −0.691015 | + | 0.866505i | ||||
\(576\) | 2.79186 | + | 1.09797i | 0.116327 | + | 0.0457486i | ||||
\(577\) | −7.40135 | − | 1.11557i | −0.308122 | − | 0.0464420i | −0.00683896 | − | 0.999977i | \(-0.502177\pi\) |
−0.301283 | + | 0.953535i | \(0.597415\pi\) | |||||||
\(578\) | 35.3820 | − | 17.0391i | 1.47170 | − | 0.708732i | ||||
\(579\) | −4.48293 | + | 5.20560i | −0.186304 | + | 0.216337i | ||||
\(580\) | −0.477681 | − | 6.37421i | −0.0198346 | − | 0.264675i | ||||
\(581\) | −25.4598 | − | 31.4297i | −1.05625 | − | 1.30392i | ||||
\(582\) | −3.49214 | + | 7.99648i | −0.144754 | + | 0.331465i | ||||
\(583\) | 1.92543 | + | 25.6931i | 0.0797431 | + | 1.06410i | ||||
\(584\) | −1.03506 | + | 0.960399i | −0.0428313 | + | 0.0397416i | ||||
\(585\) | −6.51422 | − | 0.492733i | −0.269330 | − | 0.0203720i | ||||
\(586\) | 4.33128 | + | 11.0359i | 0.178923 | + | 0.455890i | ||||
\(587\) | −8.60346 | + | 14.9016i | −0.355103 | + | 0.615056i | −0.987136 | − | 0.159886i | \(-0.948887\pi\) |
0.632033 | + | 0.774942i | \(0.282221\pi\) | |||||||
\(588\) | 6.29645 | − | 10.3612i | 0.259661 | − | 0.427289i | ||||
\(589\) | −23.8198 | − | 41.2570i | −0.981476 | − | 1.69997i | ||||
\(590\) | −1.60406 | + | 2.01143i | −0.0660381 | + | 0.0828092i | ||||
\(591\) | −4.61416 | + | 1.23464i | −0.189801 | + | 0.0507863i | ||||
\(592\) | 1.34327 | + | 5.88524i | 0.0552080 | + | 0.241882i | ||||
\(593\) | −13.2602 | + | 9.04064i | −0.544531 | + | 0.371255i | −0.804122 | − | 0.594464i | \(-0.797364\pi\) |
0.259592 | + | 0.965718i | \(0.416412\pi\) | |||||||
\(594\) | 1.21277 | − | 31.5311i | 0.0497607 | − | 1.29374i | ||||
\(595\) | 5.71973 | + | 14.2523i | 0.234486 | + | 0.584288i | ||||
\(596\) | 6.68451 | − | 4.55742i | 0.273808 | − | 0.186679i | ||||
\(597\) | −8.26747 | − | 23.6535i | −0.338365 | − | 0.968072i | ||||
\(598\) | 1.26990 | − | 16.9457i | 0.0519302 | − | 0.692960i | ||||
\(599\) | 15.3394 | + | 39.0841i | 0.626750 | + | 1.59693i | 0.791890 | + | 0.610663i | \(0.209097\pi\) |
−0.165140 | + | 0.986270i | \(0.552808\pi\) | |||||||
\(600\) | 3.55974 | + | 6.74103i | 0.145326 | + | 0.275201i | ||||
\(601\) | −15.9442 | − | 40.6251i | −0.650377 | − | 1.65713i | −0.749456 | − | 0.662054i | \(-0.769685\pi\) |
0.0990788 | − | 0.995080i | \(-0.468410\pi\) | |||||||
\(602\) | −12.1026 | + | 3.83473i | −0.493266 | + | 0.156292i | ||||
\(603\) | −0.0133951 | + | 19.2464i | −0.000545489 | + | 0.783774i | ||||
\(604\) | −0.500963 | + | 6.68489i | −0.0203839 | + | 0.272004i | ||||
\(605\) | −4.45559 | + | 19.5212i | −0.181146 | + | 0.793650i | ||||
\(606\) | 19.0226 | + | 6.66374i | 0.772742 | + | 0.270696i | ||||
\(607\) | −11.2708 | −0.457468 | −0.228734 | − | 0.973489i | \(-0.573459\pi\) | ||||
−0.228734 | + | 0.973489i | \(0.573459\pi\) | |||||||
\(608\) | 5.47490 | − | 1.68878i | 0.222036 | − | 0.0684892i | ||||
\(609\) | 1.69145 | + | 37.8179i | 0.0685410 | + | 1.53246i | ||||
\(610\) | 1.27720 | + | 0.393964i | 0.0517123 | + | 0.0159511i | ||||
\(611\) | 10.5397 | + | 3.25106i | 0.426390 | + | 0.131524i | ||||
\(612\) | 19.4970 | − | 11.2385i | 0.788121 | − | 0.454291i | ||||
\(613\) | 5.98852 | − | 15.2585i | 0.241874 | − | 0.616285i | −0.757456 | − | 0.652886i | \(-0.773558\pi\) |
0.999330 | + | 0.0366012i | \(0.0116531\pi\) | |||||||
\(614\) | −1.18426 | + | 1.09884i | −0.0477930 | + | 0.0443455i | ||||
\(615\) | 0.552524 | − | 4.88850i | 0.0222799 | − | 0.197123i | ||||
\(616\) | 13.3437 | + | 8.94895i | 0.537634 | + | 0.360564i | ||||
\(617\) | −4.36093 | + | 1.34517i | −0.175565 | + | 0.0541545i | −0.381291 | − | 0.924455i | \(-0.624520\pi\) |
0.205727 | + | 0.978610i | \(0.434044\pi\) | |||||||
\(618\) | 17.2309 | + | 6.03609i | 0.693129 | + | 0.242807i | ||||
\(619\) | 19.1884 | 0.771246 | 0.385623 | − | 0.922656i | \(-0.373987\pi\) | ||||
0.385623 | + | 0.922656i | \(0.373987\pi\) | |||||||
\(620\) | −6.14808 | + | 1.89643i | −0.246913 | + | 0.0761625i | ||||
\(621\) | 26.5494 | + | 16.7208i | 1.06539 | + | 0.670981i | ||||
\(622\) | −1.28865 | − | 1.61591i | −0.0516700 | − | 0.0647922i | ||||
\(623\) | 14.3787 | + | 17.7502i | 0.576070 | + | 0.711148i | ||||
\(624\) | −4.30873 | − | 2.27915i | −0.172487 | − | 0.0912389i | ||||
\(625\) | −3.64430 | + | 15.9667i | −0.145772 | + | 0.638669i | ||||
\(626\) | 6.26994 | + | 15.9755i | 0.250597 | + | 0.638511i | ||||
\(627\) | −35.7685 | − | 48.4999i | −1.42846 | − | 1.93690i | ||||
\(628\) | 0.417419 | − | 1.06357i | 0.0166568 | − | 0.0424409i | ||||
\(629\) | 40.7985 | + | 19.6475i | 1.62674 | + | 0.783398i | ||||
\(630\) | 2.70318 | + | 5.51486i | 0.107697 | + | 0.219717i | ||||
\(631\) | 9.04767 | − | 4.35713i | 0.360182 | − | 0.173455i | −0.245037 | − | 0.969514i | \(-0.578800\pi\) |
0.605219 | + | 0.796059i | \(0.293086\pi\) | |||||||
\(632\) | 0.157867 | + | 2.10658i | 0.00627960 | + | 0.0837954i | ||||
\(633\) | −5.43687 | + | 48.1031i | −0.216096 | + | 1.91193i | ||||
\(634\) | −6.96854 | + | 4.75107i | −0.276756 | + | 0.188689i | ||||
\(635\) | −4.72611 | + | 5.92635i | −0.187550 | + | 0.235180i | ||||
\(636\) | −5.57183 | + | 4.79157i | −0.220937 | + | 0.189998i | ||||
\(637\) | −12.0456 | + | 15.5877i | −0.477264 | + | 0.617609i | ||||
\(638\) | −50.1649 | −1.98605 | ||||||||
\(639\) | 17.1187 | + | 18.4754i | 0.677206 | + | 0.730874i | ||||
\(640\) | −0.0578251 | − | 0.771622i | −0.00228574 | − | 0.0305010i | ||||
\(641\) | 5.20114 | + | 22.7877i | 0.205433 | + | 0.900059i | 0.967562 | + | 0.252634i | \(0.0812970\pi\) |
−0.762129 | + | 0.647425i | \(0.775846\pi\) | |||||||
\(642\) | 10.2961 | − | 2.75499i | 0.406355 | − | 0.108731i | ||||
\(643\) | 36.8611 | + | 25.1315i | 1.45366 | + | 0.991089i | 0.994720 | + | 0.102622i | \(0.0327234\pi\) |
0.458941 | + | 0.888467i | \(0.348229\pi\) | |||||||
\(644\) | −14.3403 | + | 7.04150i | −0.565089 | + | 0.277474i | ||||
\(645\) | 1.66666 | − | 6.21140i | 0.0656245 | − | 0.244574i | ||||
\(646\) | 15.7019 | − | 40.0079i | 0.617784 | − | 1.57409i | ||||
\(647\) | −34.7696 | − | 23.7055i | −1.36694 | − | 0.931961i | −0.999999 | − | 0.00171530i | \(-0.999454\pi\) |
−0.366937 | − | 0.930246i | \(-0.619594\pi\) | |||||||
\(648\) | 7.44320 | − | 5.05952i | 0.292396 | − | 0.198757i | ||||
\(649\) | 14.8007 | + | 13.7331i | 0.580980 | + | 0.539070i | ||||
\(650\) | −4.52517 | − | 11.5299i | −0.177492 | − | 0.452241i | ||||
\(651\) | 36.7322 | − | 10.1302i | 1.43965 | − | 0.397033i | ||||
\(652\) | 2.81954 | − | 7.18406i | 0.110422 | − | 0.281349i | ||||
\(653\) | 12.1216 | − | 5.83743i | 0.474353 | − | 0.228436i | −0.181404 | − | 0.983409i | \(-0.558064\pi\) |
0.655757 | + | 0.754972i | \(0.272350\pi\) | |||||||
\(654\) | 20.3777 | + | 0.769583i | 0.796833 | + | 0.0300931i | ||||
\(655\) | −3.36998 | −0.131676 | ||||||||
\(656\) | 1.83536 | − | 3.17893i | 0.0716587 | − | 0.124116i | ||||
\(657\) | 0.628425 | + | 4.18910i | 0.0245172 | + | 0.163433i | ||||
\(658\) | −2.38462 | − | 10.0915i | −0.0929621 | − | 0.393407i | ||||
\(659\) | −23.5051 | − | 7.25037i | −0.915630 | − | 0.282434i | −0.199090 | − | 0.979981i | \(-0.563799\pi\) |
−0.716539 | + | 0.697547i | \(0.754275\pi\) | |||||||
\(660\) | −7.46083 | + | 3.25203i | −0.290412 | + | 0.126585i | ||||
\(661\) | 2.33872 | − | 0.352505i | 0.0909657 | − | 0.0137109i | −0.103402 | − | 0.994640i | \(-0.532973\pi\) |
0.194367 | + | 0.980929i | \(0.437735\pi\) | |||||||
\(662\) | −12.6386 | + | 1.90496i | −0.491212 | + | 0.0740382i | ||||
\(663\) | −33.5189 | + | 14.6103i | −1.30177 | + | 0.567416i | ||||
\(664\) | 14.6086 | + | 4.50617i | 0.566925 | + | 0.174873i | ||||
\(665\) | 10.6066 | + | 5.00833i | 0.411305 | + | 0.194215i | ||||
\(666\) | 16.8533 | + | 6.62798i | 0.653053 | + | 0.256829i | ||||
\(667\) | 24.9406 | − | 43.1984i | 0.965705 | − | 1.67265i | ||||
\(668\) | −11.2144 | −0.433900 | ||||||||
\(669\) | −21.0279 | − | 0.794136i | −0.812985 | − | 0.0307031i | ||||
\(670\) | 4.47259 | − | 2.15389i | 0.172791 | − | 0.0832118i | ||||
\(671\) | 3.83222 | − | 9.76434i | 0.147941 | − | 0.376948i | ||||
\(672\) | 0.204756 | + | 4.57800i | 0.00789864 | + | 0.176600i | ||||
\(673\) | 3.18567 | + | 8.11696i | 0.122799 | + | 0.312886i | 0.979033 | − | 0.203702i | \(-0.0652973\pi\) |
−0.856234 | + | 0.516588i | \(0.827202\pi\) | |||||||
\(674\) | 6.64718 | + | 6.16768i | 0.256040 | + | 0.237570i | ||||
\(675\) | 22.7231 | + | 2.58431i | 0.874613 | + | 0.0994700i | ||||
\(676\) | −4.19739 | − | 2.86173i | −0.161438 | − | 0.110067i | ||||
\(677\) | −11.8419 | + | 30.1726i | −0.455121 | + | 1.15963i | 0.500685 | + | 0.865629i | \(0.333081\pi\) |
−0.955806 | + | 0.293999i | \(0.905014\pi\) | |||||||
\(678\) | 5.78452 | − | 21.5581i | 0.222153 | − | 0.827934i | ||||
\(679\) | −13.3284 | + | 0.101890i | −0.511498 | + | 0.00391018i | ||||
\(680\) | −4.79588 | − | 3.26978i | −0.183914 | − | 0.125390i | ||||
\(681\) | 1.18640 | − | 0.317452i | 0.0454628 | − | 0.0121648i | ||||
\(682\) | 11.2358 | + | 49.2272i | 0.430241 | + | 1.88501i | ||||
\(683\) | −1.07213 | − | 14.3066i | −0.0410240 | − | 0.547427i | −0.979416 | − | 0.201854i | \(-0.935303\pi\) |
0.938392 | − | 0.345573i | \(-0.112316\pi\) | |||||||
\(684\) | 5.07778 | − | 16.4212i | 0.194154 | − | 0.627879i | ||||
\(685\) | −11.5857 | −0.442665 | ||||||||
\(686\) | 18.3719 | + | 2.33963i | 0.701442 | + | 0.0893273i | ||||
\(687\) | −2.42849 | + | 2.08842i | −0.0926527 | + | 0.0796780i | ||||
\(688\) | 2.99181 | − | 3.75161i | 0.114062 | − | 0.143029i | ||||
\(689\) | 9.86550 | − | 6.72618i | 0.375846 | − | 0.256247i | ||||
\(690\) | 0.908900 | − | 8.04156i | 0.0346012 | − | 0.306137i | ||||
\(691\) | 1.08091 | + | 14.4238i | 0.0411198 | + | 0.548706i | 0.979281 | + | 0.202507i | \(0.0649088\pi\) |
−0.938161 | + | 0.346199i | \(0.887472\pi\) | |||||||
\(692\) | −10.1412 | + | 4.88377i | −0.385512 | + | 0.185653i | ||||
\(693\) | 44.7448 | − | 17.9208i | 1.69971 | − | 0.680755i | ||||
\(694\) | 5.03581 | + | 2.42512i | 0.191157 | + | 0.0920563i | ||||
\(695\) | 2.75654 | − | 7.02354i | 0.104561 | − | 0.266418i | ||||
\(696\) | −8.49245 | − | 11.5152i | −0.321905 | − | 0.436484i | ||||
\(697\) | −10.0599 | − | 25.6321i | −0.381044 | − | 0.970884i | ||||
\(698\) | 7.51229 | − | 32.9135i | 0.284344 | − | 1.24579i | ||||
\(699\) | −32.0206 | − | 16.9376i | −1.21113 | − | 0.640639i | ||||
\(700\) | −7.19050 | + | 9.15937i | −0.271775 | + | 0.346192i | ||||
\(701\) | 31.6821 | + | 39.7281i | 1.19662 | + | 1.50051i | 0.818261 | + | 0.574847i | \(0.194938\pi\) |
0.378354 | + | 0.925661i | \(0.376490\pi\) | |||||||
\(702\) | −12.9357 | + | 6.81944i | −0.488226 | + | 0.257383i | ||||
\(703\) | 33.0497 | − | 10.1945i | 1.24649 | − | 0.384493i | ||||
\(704\) | −6.07264 | −0.228871 | ||||||||
\(705\) | 4.95737 | + | 1.73659i | 0.186705 | + | 0.0654039i | ||||
\(706\) | 22.2874 | − | 6.87477i | 0.838799 | − | 0.258735i | ||||
\(707\) | 2.53549 | + | 30.6843i | 0.0953569 | + | 1.15400i | ||||
\(708\) | −0.646772 | + | 5.72236i | −0.0243072 | + | 0.215059i | ||||
\(709\) | −20.8664 | + | 19.3612i | −0.783656 | + | 0.727126i | −0.966682 | − | 0.255982i | \(-0.917601\pi\) |
0.183026 | + | 0.983108i | \(0.441411\pi\) | |||||||
\(710\) | 2.37343 | − | 6.04739i | 0.0890731 | − | 0.226955i | ||||
\(711\) | 5.48621 | + | 3.17256i | 0.205749 | + | 0.118980i | ||||
\(712\) | −8.25038 | − | 2.54490i | −0.309196 | − | 0.0953743i | ||||
\(713\) | −47.9771 | − | 14.7990i | −1.79676 | − | 0.554226i | ||||
\(714\) | 27.8069 | + | 20.2107i | 1.04065 | + | 0.756365i | ||||
\(715\) | 12.6363 | − | 3.89780i | 0.472573 | − | 0.145769i | ||||
\(716\) | 1.32665 | 0.0495792 | ||||||||
\(717\) | −17.0223 | − | 5.96302i | −0.635710 | − | 0.222693i | ||||
\(718\) | 4.46288 | − | 19.5532i | 0.166553 | − | 0.729718i | ||||
\(719\) | 1.01966 | − | 13.6064i | 0.0380269 | − | 0.507434i | −0.945374 | − | 0.325988i | \(-0.894303\pi\) |
0.983401 | − | 0.181446i | \(-0.0580778\pi\) | |||||||
\(720\) | −2.00955 | − | 1.16208i | −0.0748913 | − | 0.0433081i | ||||
\(721\) | 2.29667 | + | 27.7942i | 0.0855326 | + | 1.03511i | ||||
\(722\) | −5.05139 | − | 12.8707i | −0.187993 | − | 0.478999i | ||||
\(723\) | 17.2081 | + | 32.5868i | 0.639977 | + | 1.21192i | ||||
\(724\) | −0.537971 | − | 1.37073i | −0.0199935 | − | 0.0509427i | ||||
\(725\) | 2.71703 | − | 36.2562i | 0.100908 | − | 1.34652i | ||||
\(726\) | 14.7885 | + | 42.3103i | 0.548852 | + | 1.57028i | ||||
\(727\) | 36.4874 | − | 24.8767i | 1.35324 | − | 0.922625i | 0.353326 | − | 0.935500i | \(-0.385051\pi\) |
0.999917 | + | 0.0128749i | \(0.00409831\pi\) | |||||||
\(728\) | 0.499647 | − | 7.42897i | 0.0185181 | − | 0.275336i | ||||
\(729\) | 0.0563741 | − | 26.9999i | 0.00208793 | − | 0.999998i | ||||
\(730\) | 0.902732 | − | 0.615472i | 0.0334116 | − | 0.0227796i | ||||
\(731\) | −8.00974 | − | 35.0929i | −0.296251 | − | 1.29796i | ||||
\(732\) | 2.89014 | − | 0.773334i | 0.106823 | − | 0.0285832i | ||||
\(733\) | −1.32579 | + | 1.66249i | −0.0489693 | + | 0.0614056i | −0.805713 | − | 0.592306i | \(-0.798218\pi\) |
0.756744 | + | 0.653712i | \(0.226789\pi\) | |||||||
\(734\) | 14.5073 | + | 25.1273i | 0.535473 | + | 0.927466i | ||||
\(735\) | −6.01261 | + | 7.20166i | −0.221778 | + | 0.265637i | ||||
\(736\) | 3.01915 | − | 5.22933i | 0.111288 | − | 0.192756i | ||||
\(737\) | −14.2333 | − | 36.2658i | −0.524289 | − | 1.33587i | ||||
\(738\) | −4.77108 | − | 9.92492i | −0.175626 | − | 0.365341i | ||||
\(739\) | 17.3603 | − | 16.1080i | 0.638607 | − | 0.592541i | −0.292953 | − | 0.956127i | \(-0.594638\pi\) |
0.931561 | + | 0.363586i | \(0.118448\pi\) | |||||||
\(740\) | −0.349066 | − | 4.65797i | −0.0128319 | − | 0.171230i | ||||
\(741\) | −11.1769 | + | 25.5934i | −0.410594 | + | 0.940198i | ||||
\(742\) | −10.1507 | − | 4.79308i | −0.372644 | − | 0.175959i | ||||
\(743\) | 2.86829 | + | 38.2746i | 0.105227 | + | 1.40416i | 0.760780 | + | 0.649010i | \(0.224817\pi\) |
−0.655553 | + | 0.755149i | \(0.727564\pi\) | |||||||
\(744\) | −9.39789 | + | 10.9129i | −0.344543 | + | 0.400085i | ||||
\(745\) | −5.64020 | + | 2.71618i | −0.206641 | + | 0.0995130i | ||||
\(746\) | −15.0979 | − | 2.27564i | −0.552772 | − | 0.0833170i | ||||
\(747\) | 35.8774 | − | 28.5705i | 1.31269 | − | 1.04534i | ||||
\(748\) | −28.4020 | + | 35.6150i | −1.03848 | + | 1.30221i | ||||
\(749\) | 10.2480 | + | 12.6509i | 0.374452 | + | 0.462254i | ||||
\(750\) | −4.15734 | − | 11.8943i | −0.151805 | − | 0.434318i | ||||
\(751\) | −17.7270 | + | 8.53686i | −0.646867 | + | 0.311515i | −0.728396 | − | 0.685156i | \(-0.759734\pi\) |
0.0815293 | + | 0.996671i | \(0.474020\pi\) | |||||||
\(752\) | 2.87302 | + | 2.66578i | 0.104768 | + | 0.0972108i | ||||
\(753\) | −0.0547207 | + | 0.0470578i | −0.00199413 | + | 0.00171488i | ||||
\(754\) | 11.6239 | + | 20.1332i | 0.423317 | + | 0.733207i | ||||
\(755\) | 1.15426 | − | 5.05712i | 0.0420077 | − | 0.184048i | ||||
\(756\) | 11.6886 | + | 7.23724i | 0.425109 | + | 0.263216i | ||||
\(757\) | −8.11818 | − | 35.5681i | −0.295060 | − | 1.29274i | −0.877385 | − | 0.479787i | \(-0.840714\pi\) |
0.582325 | − | 0.812956i | \(-0.302143\pi\) | |||||||
\(758\) | −26.7471 | + | 24.8177i | −0.971499 | + | 0.901420i | ||||
\(759\) | −62.4004 | − | 11.8293i | −2.26499 | − | 0.429376i | ||||
\(760\) | −4.38384 | + | 0.660758i | −0.159019 | + | 0.0239682i | ||||
\(761\) | −8.39434 | − | 36.7780i | −0.304295 | − | 1.33320i | −0.863574 | − | 0.504223i | \(-0.831779\pi\) |
0.559279 | − | 0.828979i | \(-0.311078\pi\) | |||||||
\(762\) | −1.90561 | + | 16.8600i | −0.0690329 | + | 0.610774i | ||||
\(763\) | 11.6016 | + | 28.9086i | 0.420006 | + | 1.04656i | ||||
\(764\) | −5.34971 | + | 23.4386i | −0.193546 | + | 0.847979i | ||||
\(765\) | −16.2141 | + | 6.35056i | −0.586223 | + | 0.229605i | ||||
\(766\) | 8.77671 | + | 15.2017i | 0.317116 | + | 0.549260i | ||||
\(767\) | 2.08210 | − | 9.12227i | 0.0751802 | − | 0.329386i | ||||
\(768\) | −1.02804 | − | 1.39396i | −0.0370963 | − | 0.0503003i | ||||
\(769\) | −0.786756 | + | 2.00462i | −0.0283712 | + | 0.0722885i | −0.944357 | − | 0.328921i | \(-0.893315\pi\) |
0.915986 | + | 0.401210i | \(0.131410\pi\) | |||||||
\(770\) | −9.17781 | − | 8.38612i | −0.330745 | − | 0.302215i | ||||
\(771\) | −0.474345 | − | 12.7963i | −0.0170831 | − | 0.460848i | ||||
\(772\) | 3.79010 | − | 1.16909i | 0.136409 | − | 0.0420765i | ||||
\(773\) | 7.91907 | + | 1.19361i | 0.284829 | + | 0.0429311i | 0.289903 | − | 0.957056i | \(-0.406377\pi\) |
−0.00507391 | + | 0.999987i | \(0.501615\pi\) | |||||||
\(774\) | −4.23357 | − | 13.7589i | −0.152172 | − | 0.494553i | ||||
\(775\) | −36.1871 | + | 5.45433i | −1.29988 | + | 0.195925i | ||||
\(776\) | 4.16244 | − | 2.83790i | 0.149423 | − | 0.101875i | ||||
\(777\) | 1.23603 | + | 27.6355i | 0.0443423 | + | 0.991419i | ||||
\(778\) | −11.9368 | − | 8.13835i | −0.427954 | − | 0.291774i | ||||
\(779\) | −18.9484 | − | 9.12507i | −0.678897 | − | 0.326940i | ||||
\(780\) | 3.03395 | + | 2.24079i | 0.108633 | + | 0.0802330i | ||||
\(781\) | −45.9351 | − | 22.1212i | −1.64369 | − | 0.791557i | ||||
\(782\) | −16.5484 | − | 42.1647i | −0.591770 | − | 1.50781i | ||||
\(783\) | −42.8960 | + | 1.56021i | −1.53298 | + | 0.0557575i | ||||
\(784\) | −6.25961 | + | 3.13325i | −0.223558 | + | 0.111902i | ||||
\(785\) | −0.442043 | + | 0.765641i | −0.0157772 | + | 0.0273269i | ||||
\(786\) | −6.38857 | + | 4.01111i | −0.227873 | + | 0.143071i | ||||
\(787\) | 21.7159 | − | 14.8056i | 0.774088 | − | 0.527764i | −0.110646 | − | 0.993860i | \(-0.535292\pi\) |
0.884734 | + | 0.466096i | \(0.154340\pi\) | |||||||
\(788\) | 2.63519 | + | 0.812848i | 0.0938747 | + | 0.0289565i | ||||
\(789\) | 42.5421 | − | 11.3833i | 1.51454 | − | 0.405254i | ||||
\(790\) | 0.122155 | − | 1.63004i | 0.00434608 | − | 0.0579944i | ||||
\(791\) | 33.6747 | − | 5.33923i | 1.19734 | − | 0.189841i | ||||
\(792\) | −10.2730 | + | 15.0452i | −0.365035 | + | 0.534608i | ||||
\(793\) | −4.80680 | + | 0.724508i | −0.170694 | + | 0.0257280i | ||||
\(794\) | −2.75566 | + | 1.32706i | −0.0977948 | + | 0.0470955i | ||||
\(795\) | 4.81584 | − | 3.02366i | 0.170800 | − | 0.107238i | ||||
\(796\) | −3.21910 | + | 14.1038i | −0.114098 | + | 0.499895i | ||||
\(797\) | −22.2263 | − | 3.35008i | −0.787298 | − | 0.118666i | −0.256926 | − | 0.966431i | \(-0.582710\pi\) |
−0.530372 | + | 0.847765i | \(0.677948\pi\) | |||||||
\(798\) | 26.0684 | − | 3.12998i | 0.922810 | − | 0.110800i | ||||
\(799\) | 29.0716 | − | 4.38184i | 1.02848 | − | 0.155018i | ||||
\(800\) | 0.328906 | − | 4.38895i | 0.0116286 | − | 0.155173i | ||||
\(801\) | −20.2621 | + | 16.1355i | −0.715927 | + | 0.570118i | ||||
\(802\) | −12.4610 | − | 21.5831i | −0.440014 | − | 0.762127i | ||||
\(803\) | −4.28726 | − | 7.42576i | −0.151294 | − | 0.262049i | ||||
\(804\) | 5.91517 | − | 9.40668i | 0.208612 | − | 0.331748i | ||||
\(805\) | 11.7845 | − | 3.73393i | 0.415349 | − | 0.131604i | ||||
\(806\) | 17.1534 | − | 15.9160i | 0.604201 | − | 0.560617i | ||||
\(807\) | −1.35806 | + | 12.0156i | −0.0478061 | + | 0.422968i | ||||
\(808\) | −7.25561 | − | 9.09825i | −0.255252 | − | 0.320075i | ||||
\(809\) | −3.16916 | + | 8.07489i | −0.111422 | + | 0.283898i | −0.975698 | − | 0.219119i | \(-0.929682\pi\) |
0.864276 | + | 0.503017i | \(0.167777\pi\) | |||||||
\(810\) | −6.27861 | + | 3.01286i | −0.220608 | + | 0.105861i | ||||
\(811\) | −0.413291 | − | 1.81075i | −0.0145126 | − | 0.0635839i | 0.967153 | − | 0.254195i | \(-0.0818103\pi\) |
−0.981666 | + | 0.190611i | \(0.938953\pi\) | |||||||
\(812\) | 10.7830 | − | 19.0109i | 0.378409 | − | 0.667150i | ||||
\(813\) | 32.9323 | + | 1.24372i | 1.15499 | + | 0.0436190i | ||||
\(814\) | −36.6581 | −1.28487 | ||||||||
\(815\) | −2.98586 | + | 5.17166i | −0.104590 | + | 0.181156i | ||||
\(816\) | −12.9836 | − | 0.490335i | −0.454515 | − | 0.0171652i | ||||
\(817\) | −22.7155 | − | 15.4872i | −0.794716 | − | 0.541828i | ||||
\(818\) | −5.24040 | − | 6.57126i | −0.183226 | − | 0.229759i | ||||
\(819\) | −17.5603 | − | 13.8054i | −0.613607 | − | 0.482398i | ||||
\(820\) | −1.77093 | + | 2.22067i | −0.0618434 | + | 0.0775492i | ||||
\(821\) | −41.9662 | + | 12.9449i | −1.46463 | + | 0.451778i | −0.921668 | − | 0.387979i | \(-0.873173\pi\) |
−0.542961 | + | 0.839758i | \(0.682697\pi\) | |||||||
\(822\) | −21.9633 | + | 13.7898i | −0.766058 | + | 0.480975i | ||||
\(823\) | −1.82033 | + | 24.2907i | −0.0634529 | + | 0.846720i | 0.871148 | + | 0.491021i | \(0.163376\pi\) |
−0.934601 | + | 0.355699i | \(0.884243\pi\) | |||||||
\(824\) | −6.57221 | − | 8.24129i | −0.228954 | − | 0.287099i | ||||
\(825\) | −44.7197 | + | 11.9659i | −1.55694 | + | 0.416601i | ||||
\(826\) | −8.38582 | + | 2.65705i | −0.291780 | + | 0.0924508i | ||||
\(827\) | −41.1807 | + | 19.8316i | −1.43199 | + | 0.689612i | −0.979367 | − | 0.202088i | \(-0.935227\pi\) |
−0.452627 | + | 0.891700i | \(0.649513\pi\) | |||||||
\(828\) | −7.84841 | − | 16.3265i | −0.272751 | − | 0.567383i | ||||
\(829\) | −32.3304 | + | 29.9982i | −1.12288 | + | 1.04188i | −0.124112 | + | 0.992268i | \(0.539608\pi\) |
−0.998769 | + | 0.0496128i | \(0.984201\pi\) | |||||||
\(830\) | −10.6580 | − | 5.13263i | −0.369945 | − | 0.178156i | ||||
\(831\) | −0.214638 | − | 5.79025i | −0.00744572 | − | 0.200862i | ||||
\(832\) | 1.40711 | + | 2.43719i | 0.0487829 | + | 0.0844945i | ||||
\(833\) | −10.9005 | + | 51.3659i | −0.377680 | + | 1.77972i | ||||
\(834\) | −3.13409 | − | 16.5957i | −0.108525 | − | 0.574662i | ||||
\(835\) | 8.58065 | + | 1.29333i | 0.296946 | + | 0.0447574i | ||||
\(836\) | 2.60007 | + | 34.6956i | 0.0899254 | + | 1.19997i | ||||
\(837\) | 11.1388 | + | 41.7448i | 0.385012 | + | 1.44291i | ||||
\(838\) | 1.44939 | − | 0.988178i | 0.0500684 | − | 0.0341360i | ||||
\(839\) | −4.09055 | + | 54.5846i | −0.141221 | + | 1.88447i | 0.255902 | + | 0.966703i | \(0.417628\pi\) |
−0.397123 | + | 0.917765i | \(0.629991\pi\) | |||||||
\(840\) | 0.371298 | − | 3.52644i | 0.0128110 | − | 0.121674i | ||||
\(841\) | 2.93247 | + | 39.1311i | 0.101120 | + | 1.34935i | ||||
\(842\) | 7.30040 | + | 9.15442i | 0.251589 | + | 0.315482i | ||||
\(843\) | −31.9613 | − | 43.3376i | −1.10081 | − | 1.49263i | ||||
\(844\) | 17.4260 | − | 21.8516i | 0.599829 | − | 0.752162i | ||||
\(845\) | 2.88157 | + | 2.67371i | 0.0991290 | + | 0.0919783i | ||||
\(846\) | 11.4648 | − | 2.60837i | 0.394168 | − | 0.0896778i | ||||
\(847\) | −49.8303 | + | 46.9497i | −1.71219 | + | 1.61321i | ||||
\(848\) | 4.19543 | − | 0.632359i | 0.144072 | − | 0.0217153i | ||||
\(849\) | 10.3063 | + | 13.9748i | 0.353712 | + | 0.479613i | ||||
\(850\) | −24.2021 | − | 22.4563i | −0.830127 | − | 0.770245i | ||||
\(851\) | 18.2254 | − | 31.5673i | 0.624759 | − | 1.08211i | ||||
\(852\) | −2.69851 | − | 14.2892i | −0.0924495 | − | 0.489540i | ||||
\(853\) | 27.5288 | + | 25.5430i | 0.942567 | + | 0.874574i | 0.992258 | − | 0.124190i | \(-0.0396333\pi\) |
−0.0496914 | + | 0.998765i | \(0.515824\pi\) | |||||||
\(854\) | 2.87663 | + | 3.55114i | 0.0984361 | + | 0.121518i | ||||
\(855\) | −5.77902 | + | 11.9789i | −0.197638 | + | 0.409671i | ||||
\(856\) | −5.88020 | − | 1.81380i | −0.200981 | − | 0.0619944i | ||||
\(857\) | 6.09049 | + | 7.63723i | 0.208047 | + | 0.260883i | 0.874897 | − | 0.484309i | \(-0.160929\pi\) |
−0.666850 | + | 0.745192i | \(0.732358\pi\) | |||||||
\(858\) | 19.3158 | − | 22.4296i | 0.659430 | − | 0.765732i | ||||
\(859\) | 6.43279 | + | 28.1839i | 0.219484 | + | 0.961622i | 0.957861 | + | 0.287233i | \(0.0927355\pi\) |
−0.738377 | + | 0.674388i | \(0.764407\pi\) | |||||||
\(860\) | −2.72183 | + | 2.52548i | −0.0928135 | + | 0.0861183i | ||||
\(861\) | 10.8790 | − | 12.8298i | 0.370756 | − | 0.437239i | ||||
\(862\) | −1.37440 | − | 1.27525i | −0.0468121 | − | 0.0434353i | ||||
\(863\) | 6.99354 | − | 12.1132i | 0.238063 | − | 0.412337i | −0.722095 | − | 0.691793i | \(-0.756821\pi\) |
0.960158 | + | 0.279456i | \(0.0901542\pi\) | |||||||
\(864\) | −5.19272 | + | 0.188869i | −0.176660 | + | 0.00642547i | ||||
\(865\) | 8.32273 | − | 2.56722i | 0.282981 | − | 0.0872882i | ||||
\(866\) | 28.3395 | + | 19.3215i | 0.963015 | + | 0.656572i | ||||
\(867\) | −44.3862 | + | 51.5414i | −1.50743 | + | 1.75044i | ||||
\(868\) | −21.0707 | − | 6.32345i | −0.715185 | − | 0.214632i | ||||
\(869\) | −12.6851 | − | 1.91197i | −0.430313 | − | 0.0648593i | ||||
\(870\) | 5.16992 | + | 9.79021i | 0.175277 | + | 0.331919i | ||||
\(871\) | −11.2569 | + | 14.1157i | −0.381424 | + | 0.478291i | ||||
\(872\) | −9.72771 | − | 6.63224i | −0.329422 | − | 0.224596i | ||||
\(873\) | 0.0105186 | − | 15.1134i | 0.000356001 | − | 0.511512i | ||||
\(874\) | −31.1700 | − | 15.0107i | −1.05434 | − | 0.507745i | ||||
\(875\) | 14.0083 | − | 13.1985i | 0.473568 | − | 0.446192i | ||||
\(876\) | 0.978773 | − | 2.24124i | 0.0330697 | − | 0.0757246i | ||||
\(877\) | −35.3825 | − | 17.0393i | −1.19478 | − | 0.575377i | −0.272598 | − | 0.962128i | \(-0.587883\pi\) |
−0.922184 | + | 0.386752i | \(0.873597\pi\) | |||||||
\(878\) | −0.388780 | − | 0.119923i | −0.0131207 | − | 0.00404720i | ||||
\(879\) | −14.5148 | − | 14.5249i | −0.489573 | − | 0.489914i | ||||
\(880\) | 4.64644 | + | 0.700338i | 0.156631 | + | 0.0236084i | ||||
\(881\) | −28.1910 | −0.949777 | −0.474889 | − | 0.880046i | \(-0.657512\pi\) | ||||
−0.474889 | + | 0.880046i | \(0.657512\pi\) | |||||||
\(882\) | −2.82654 | + | 20.8089i | −0.0951745 | + | 0.700672i | ||||
\(883\) | 4.64998 | 0.156484 | 0.0782421 | − | 0.996934i | \(-0.475069\pi\) | ||||
0.0782421 | + | 0.996934i | \(0.475069\pi\) | |||||||
\(884\) | 20.8749 | + | 3.14638i | 0.702098 | + | 0.105824i | ||||
\(885\) | 1.15481 | − | 4.30383i | 0.0388186 | − | 0.144672i | ||||
\(886\) | 10.4924 | + | 3.23649i | 0.352501 | + | 0.108732i | ||||
\(887\) | −53.2033 | − | 25.6213i | −1.78639 | − | 0.860280i | −0.950068 | − | 0.312042i | \(-0.898987\pi\) |
−0.836322 | − | 0.548239i | \(-0.815299\pi\) | |||||||
\(888\) | −6.20587 | − | 8.41478i | −0.208255 | − | 0.282382i | ||||
\(889\) | −24.7075 | + | 7.82858i | −0.828662 | + | 0.262562i | ||||
\(890\) | 6.01922 | + | 2.89870i | 0.201765 | + | 0.0971648i | ||||
\(891\) | 19.8964 | + | 50.9035i | 0.666556 | + | 1.70533i | ||||
\(892\) | 10.0381 | + | 6.84384i | 0.336099 | + | 0.229149i | ||||
\(893\) | 14.0006 | − | 17.5562i | 0.468511 | − | 0.587495i | ||||
\(894\) | −7.45938 | + | 11.8624i | −0.249479 | + | 0.396737i | ||||
\(895\) | −1.01508 | − | 0.152998i | −0.0339302 | − | 0.00511416i | ||||
\(896\) | 1.30532 | − | 2.30133i | 0.0436077 | − | 0.0768822i | ||||
\(897\) | 9.71145 | + | 27.7848i | 0.324256 | + | 0.927706i | ||||
\(898\) | −10.3507 | − | 7.05701i | −0.345409 | − | 0.235496i | ||||
\(899\) | 65.6358 | − | 20.2460i | 2.18908 | − | 0.675241i | ||||
\(900\) | −10.3174 | − | 8.23960i | −0.343913 | − | 0.274653i | ||||
\(901\) | 15.9135 | − | 27.5630i | 0.530157 | − | 0.918258i | ||||
\(902\) | 16.3404 | + | 15.1617i | 0.544076 | + | 0.504829i | ||||
\(903\) | 16.5623 | − | 14.4647i | 0.551158 | − | 0.481354i | ||||
\(904\) | −9.44673 | + | 8.76528i | −0.314193 | + | 0.291529i | ||||
\(905\) | 0.253543 | + | 1.11085i | 0.00842806 | + | 0.0369257i | ||||
\(906\) | −3.83107 | − | 10.9608i | −0.127279 | − | 0.364148i | ||||
\(907\) | 2.30469 | + | 2.88999i | 0.0765261 | + | 0.0959607i | 0.818621 | − | 0.574334i | \(-0.194739\pi\) |
−0.742095 | + | 0.670295i | \(0.766168\pi\) | |||||||
\(908\) | −0.677562 | − | 0.209000i | −0.0224857 | − | 0.00693591i | ||||
\(909\) | −34.8155 | + | 2.58469i | −1.15476 | + | 0.0857289i | ||||
\(910\) | −1.23906 | + | 5.62660i | −0.0410744 | + | 0.186520i | ||||
\(911\) | −23.1915 | − | 21.5186i | −0.768368 | − | 0.712942i | 0.195094 | − | 0.980785i | \(-0.437499\pi\) |
−0.963463 | + | 0.267843i | \(0.913689\pi\) | |||||||
\(912\) | −7.52412 | + | 6.47048i | −0.249149 | + | 0.214259i | ||||
\(913\) | −46.4188 | + | 80.3997i | −1.53624 | + | 2.66084i | ||||
\(914\) | 11.2253 | + | 10.4155i | 0.371299 | + | 0.344515i | ||||
\(915\) | −2.30056 | + | 0.258400i | −0.0760541 | + | 0.00854244i | ||||
\(916\) | 1.82858 | − | 0.275615i | 0.0604181 | − | 0.00910657i | ||||
\(917\) | −9.56987 | − | 6.41802i | −0.316025 | − | 0.211942i | ||||
\(918\) | −23.1789 | + | 31.3378i | −0.765018 | + | 1.03430i | ||||
\(919\) | 17.0570 | + | 15.8266i | 0.562658 | + | 0.522070i | 0.909418 | − | 0.415884i | \(-0.136528\pi\) |
−0.346760 | + | 0.937954i | \(0.612718\pi\) | |||||||
\(920\) | −2.91317 | + | 3.65300i | −0.0960443 | + | 0.120436i | ||||
\(921\) | 1.11986 | − | 2.56431i | 0.0369006 | − | 0.0844969i | ||||
\(922\) | −22.6211 | − | 28.3660i | −0.744987 | − | 0.934184i | ||||
\(923\) | 1.76568 | + | 23.5613i | 0.0581180 | + | 0.775531i | ||||
\(924\) | −27.3802 | − | 4.97397i | −0.900743 | − | 0.163632i | ||||
\(925\) | 1.98547 | − | 26.4943i | 0.0652820 | − | 0.871127i | ||||
\(926\) | 11.6756 | − | 7.96030i | 0.383685 | − | 0.261592i | ||||
\(927\) | −31.5362 | + | 2.34124i | −1.03579 | + | 0.0768965i | ||||
\(928\) | 0.617330 | + | 8.23770i | 0.0202649 | + | 0.270416i | ||||
\(929\) | −25.2054 | − | 3.79911i | −0.826964 | − | 0.124645i | −0.278095 | − | 0.960553i | \(-0.589703\pi\) |
−0.548869 | + | 0.835909i | \(0.684941\pi\) | |||||||
\(930\) | 8.44927 | − | 7.26607i | 0.277063 | − | 0.238264i | ||||
\(931\) | 20.5817 | + | 34.4223i | 0.674538 | + | 1.12814i | ||||
\(932\) | 10.4570 | + | 18.1121i | 0.342532 | + | 0.593283i | ||||
\(933\) | 3.16442 | + | 1.67385i | 0.103598 | + | 0.0547995i | ||||
\(934\) | 10.0810 | + | 4.85475i | 0.329860 | + | 0.158852i | ||||
\(935\) | 25.8390 | − | 23.9751i | 0.845025 | − | 0.784069i | ||||
\(936\) | 8.41864 | + | 0.636782i | 0.275172 | + | 0.0208139i | ||||
\(937\) | −6.56384 | + | 3.16098i | −0.214431 | + | 0.103265i | −0.538016 | − | 0.842934i | \(-0.680826\pi\) |
0.323585 | + | 0.946199i | \(0.395112\pi\) | |||||||
\(938\) | 16.8030 | + | 2.40143i | 0.548638 | + | 0.0784094i | ||||
\(939\) | −21.0116 | − | 21.0262i | −0.685688 | − | 0.686165i | ||||
\(940\) | −1.89084 | − | 2.37104i | −0.0616723 | − | 0.0773346i | ||||
\(941\) | 1.19389 | − | 15.9314i | 0.0389198 | − | 0.519348i | −0.943341 | − | 0.331826i | \(-0.892335\pi\) |
0.982260 | − | 0.187522i | \(-0.0600457\pi\) | |||||||
\(942\) | 0.0733071 | + | 1.97759i | 0.00238847 | + | 0.0644334i | ||||
\(943\) | −21.1802 | + | 6.53322i | −0.689722 | + | 0.212751i | ||||
\(944\) | 2.07300 | − | 2.59946i | 0.0674705 | − | 0.0846054i | ||||
\(945\) | −8.10877 | − | 6.88553i | −0.263778 | − | 0.223986i | ||||
\(946\) | 18.1682 | + | 22.7822i | 0.590699 | + | 0.740713i | ||||
\(947\) | 9.20070 | + | 6.27293i | 0.298983 | + | 0.203843i | 0.703514 | − | 0.710681i | \(-0.251613\pi\) |
−0.404532 | + | 0.914524i | \(0.632565\pi\) | |||||||
\(948\) | −1.70858 | − | 3.23552i | −0.0554922 | − | 0.105085i | ||||
\(949\) | −1.98684 | + | 3.44130i | −0.0644954 | + | 0.111709i | ||||
\(950\) | −25.2167 | −0.818139 | ||||||||
\(951\) | 7.77633 | − | 12.3664i | 0.252165 | − | 0.401008i | ||||
\(952\) | −7.39188 | − | 18.4189i | −0.239572 | − | 0.596961i | ||||
\(953\) | 4.89738 | + | 21.4568i | 0.158642 | + | 0.695055i | 0.990205 | + | 0.139624i | \(0.0445894\pi\) |
−0.831563 | + | 0.555431i | \(0.812553\pi\) | |||||||
\(954\) | 5.53065 | − | 11.4641i | 0.179061 | − | 0.371164i | ||||
\(955\) | 6.79639 | − | 17.3169i | 0.219926 | − | 0.560362i | ||||
\(956\) | 6.49265 | + | 8.14153i | 0.209987 | + | 0.263316i | ||||
\(957\) | 79.6505 | − | 34.7182i | 2.57473 | − | 1.12228i | ||||
\(958\) | 1.38093 | − | 1.28131i | 0.0446157 | − | 0.0413973i | ||||
\(959\) | −32.9003 | − | 22.0645i | −1.06241 | − | 0.712501i | ||||
\(960\) | 0.625838 | + | 1.18514i | 0.0201988 | + | 0.0382503i | ||||
\(961\) | −19.0685 | − | 33.0276i | −0.615112 | − | 1.06540i | ||||
\(962\) | 8.49418 | + | 14.7123i | 0.273863 | + | 0.474345i | ||||
\(963\) | −14.4412 | + | 11.5000i | −0.465361 | + | 0.370584i | ||||
\(964\) | 1.58997 | − | 21.2166i | 0.0512094 | − | 0.683342i | ||||
\(965\) | −3.03480 | + | 0.457422i | −0.0976936 | + | 0.0147249i | ||||
\(966\) | 17.8959 | − | 21.1050i | 0.575792 | − | 0.679042i | ||||
\(967\) | 25.3026 | + | 3.81375i | 0.813676 | + | 0.122642i | 0.542681 | − | 0.839939i | \(-0.317409\pi\) |
0.270995 | + | 0.962581i | \(0.412647\pi\) | |||||||
\(968\) | 5.75817 | − | 25.2282i | 0.185075 | − | 0.810865i | ||||
\(969\) | 2.75757 | + | 74.3904i | 0.0885859 | + | 2.38977i | ||||
\(970\) | −3.51215 | + | 1.69136i | −0.112768 | + | 0.0543063i | ||||
\(971\) | −32.0362 | + | 4.82867i | −1.02809 | + | 0.154959i | −0.641365 | − | 0.767236i | \(-0.721632\pi\) |
−0.386724 | + | 0.922195i | \(0.626393\pi\) | |||||||
\(972\) | −8.31651 | + | 13.1847i | −0.266752 | + | 0.422899i | ||||
\(973\) | 21.2040 | − | 14.6953i | 0.679768 | − | 0.471110i | ||||
\(974\) | −2.33384 | + | 31.1429i | −0.0747810 | + | 0.997882i | ||||
\(975\) | 15.1646 | + | 15.1751i | 0.485655 | + | 0.485993i | ||||
\(976\) | −1.65059 | − | 0.509138i | −0.0528340 | − | 0.0162971i | ||||
\(977\) | 35.6609 | − | 24.3132i | 1.14089 | − | 0.777848i | 0.162933 | − | 0.986637i | \(-0.447905\pi\) |
0.977961 | + | 0.208789i | \(0.0669522\pi\) | |||||||
\(978\) | 0.495166 | + | 13.3580i | 0.0158337 | + | 0.427142i | ||||
\(979\) | 26.2155 | − | 45.4065i | 0.837850 | − | 1.45120i | ||||
\(980\) | 5.15085 | − | 1.67548i | 0.164538 | − | 0.0535214i | ||||
\(981\) | −32.8879 | + | 12.8811i | −1.05003 | + | 0.411263i | ||||
\(982\) | 10.2905 | + | 26.2197i | 0.328382 | + | 0.836704i | ||||
\(983\) | 18.8091 | + | 9.05801i | 0.599919 | + | 0.288906i | 0.709091 | − | 0.705117i | \(-0.249106\pi\) |
−0.109172 | + | 0.994023i | \(0.534820\pi\) | |||||||
\(984\) | −0.714053 | + | 6.31764i | −0.0227632 | + | 0.201399i | ||||
\(985\) | −1.92255 | − | 0.925852i | −0.0612576 | − | 0.0295001i | ||||
\(986\) | 51.2000 | + | 34.9076i | 1.63054 | + | 1.11168i | ||||
\(987\) | 10.7704 | + | 14.3726i | 0.342824 | + | 0.457486i | ||||
\(988\) | 13.3222 | − | 9.08295i | 0.423837 | − | 0.288967i | ||||
\(989\) | −28.6512 | + | 4.31847i | −0.911054 | + | 0.137319i | ||||
\(990\) | 9.59543 | − | 10.3270i | 0.304963 | − | 0.328213i | ||||
\(991\) | −47.8008 | − | 7.20482i | −1.51844 | − | 0.228869i | −0.663731 | − | 0.747971i | \(-0.731028\pi\) |
−0.854712 | + | 0.519102i | \(0.826266\pi\) | |||||||
\(992\) | 7.94546 | − | 2.45085i | 0.252268 | − | 0.0778145i | ||||
\(993\) | 18.7488 | − | 11.7715i | 0.594975 | − | 0.373559i | ||||
\(994\) | 18.2570 | − | 12.6529i | 0.579077 | − | 0.401326i | ||||
\(995\) | 4.08961 | − | 10.4202i | 0.129649 | − | 0.330341i | ||||
\(996\) | −26.3139 | + | 2.95559i | −0.833786 | + | 0.0936513i | ||||
\(997\) | −2.26106 | + | 9.90633i | −0.0716084 | + | 0.313737i | −0.998029 | − | 0.0627532i | \(-0.980012\pi\) |
0.926421 | + | 0.376490i | \(0.122869\pi\) | |||||||
\(998\) | 11.3481 | + | 19.6555i | 0.359219 | + | 0.622186i | ||||
\(999\) | −31.3463 | + | 1.14013i | −0.991754 | + | 0.0360721i |
(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.y.a.457.2 | yes | 336 | |
9.4 | even | 3 | 882.2.bb.b.751.27 | yes | 336 | ||
49.46 | even | 21 | 882.2.bb.b.781.27 | yes | 336 | ||
441.193 | even | 21 | inner | 882.2.y.a.193.2 | ✓ | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
882.2.y.a.193.2 | ✓ | 336 | 441.193 | even | 21 | inner | |
882.2.y.a.457.2 | yes | 336 | 1.1 | even | 1 | trivial | |
882.2.bb.b.751.27 | yes | 336 | 9.4 | even | 3 | ||
882.2.bb.b.781.27 | yes | 336 | 49.46 | even | 21 |