Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [135,2,Mod(2,135)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(135, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([2, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("135.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 135 = 3^{3} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 135.q (of order \(36\), 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: | \(1.07798042729\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 32.14 | ||
Character | \(\chi\) | \(=\) | 135.32 |
Dual form | 135.2.q.a.38.14 |
$q$-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 \(\left(\mathbb{Z}/135\mathbb{Z}\right)^\times\).
\(n\) | \(56\) | \(82\) |
\(\chi(n)\) | \(e\left(\frac{5}{18}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.191628 | − | 2.19031i | 0.135501 | − | 1.54878i | −0.558923 | − | 0.829219i | \(-0.688785\pi\) |
0.694425 | − | 0.719566i | \(-0.255659\pi\) | |||||||
\(3\) | 0.699511 | + | 1.58451i | 0.403863 | + | 0.914820i | ||||
\(4\) | −2.79113 | − | 0.492152i | −1.39557 | − | 0.246076i | ||||
\(5\) | 2.03807 | − | 0.919920i | 0.911455 | − | 0.411401i | ||||
\(6\) | 3.60463 | − | 1.22851i | 1.47158 | − | 0.501538i | ||||
\(7\) | −0.000371431 | 0 | 0.000530458i | −0.000140388 | 0 | 0.000200494i | −0.819222 | − | 0.573476i | \(-0.805595\pi\) |
0.819082 | + | 0.573677i | \(0.194483\pi\) | |||||||
\(8\) | −0.474704 | + | 1.77162i | −0.167833 | + | 0.626362i | ||||
\(9\) | −2.02137 | + | 2.21677i | −0.673790 | + | 0.738923i | ||||
\(10\) | −1.62436 | − | 4.64030i | −0.513668 | − | 1.46739i | ||||
\(11\) | 0.925209 | − | 2.54199i | 0.278961 | − | 0.766439i | −0.718520 | − | 0.695506i | \(-0.755180\pi\) |
0.997481 | − | 0.0709326i | \(-0.0225975\pi\) | |||||||
\(12\) | −1.17261 | − | 4.76685i | −0.338502 | − | 1.37607i | ||||
\(13\) | −3.16625 | + | 0.277011i | −0.878159 | + | 0.0768289i | −0.517313 | − | 0.855797i | \(-0.673068\pi\) |
−0.360846 | + | 0.932625i | \(0.617512\pi\) | |||||||
\(14\) | 0.00109069 | 0.000915200i | 0.000291500 | 0.000244597i | ||||||
\(15\) | 2.88328 | + | 2.58586i | 0.744460 | + | 0.667667i | ||||
\(16\) | −1.53710 | − | 0.559459i | −0.384275 | − | 0.139865i | ||||
\(17\) | 1.76536 | + | 6.58840i | 0.428162 | + | 1.59792i | 0.756921 | + | 0.653507i | \(0.226703\pi\) |
−0.328759 | + | 0.944414i | \(0.606630\pi\) | |||||||
\(18\) | 4.46807 | + | 4.85222i | 1.05313 | + | 1.14368i | ||||
\(19\) | −1.52337 | + | 0.879517i | −0.349485 | + | 0.201775i | −0.664458 | − | 0.747325i | \(-0.731338\pi\) |
0.314974 | + | 0.949100i | \(0.398004\pi\) | |||||||
\(20\) | −6.14128 | + | 1.56458i | −1.37323 | + | 0.349850i | ||||
\(21\) | −0.00110034 | 0.000217476i | −0.000240113 | 4.74571e-5i | ||||||
\(22\) | −5.39046 | − | 2.51361i | −1.14925 | − | 0.535904i | ||||
\(23\) | −4.18584 | + | 2.93096i | −0.872808 | + | 0.611147i | −0.921806 | − | 0.387652i | \(-0.873286\pi\) |
0.0489979 | + | 0.998799i | \(0.484397\pi\) | |||||||
\(24\) | −3.13922 | + | 0.487092i | −0.640790 | + | 0.0994273i | ||||
\(25\) | 3.30749 | − | 3.74973i | 0.661499 | − | 0.749946i | ||||
\(26\) | 6.98815i | 1.37049i | ||||||||
\(27\) | −4.92647 | − | 1.65223i | −0.948100 | − | 0.317972i | ||||
\(28\) | 0.00129778 | − | 0.00129778i | 0.000245257 | − | 0.000245257i | ||||
\(29\) | 4.37718 | − | 3.67289i | 0.812822 | − | 0.682038i | −0.138458 | − | 0.990368i | \(-0.544215\pi\) |
0.951279 | + | 0.308330i | \(0.0997701\pi\) | |||||||
\(30\) | 6.21636 | − | 5.81977i | 1.13495 | − | 1.06254i | ||||
\(31\) | −0.944975 | + | 5.35922i | −0.169723 | + | 0.962544i | 0.774338 | + | 0.632772i | \(0.218083\pi\) |
−0.944061 | + | 0.329772i | \(0.893028\pi\) | |||||||
\(32\) | −3.07020 | + | 6.58407i | −0.542740 | + | 1.16391i | ||||
\(33\) | 4.67501 | − | 0.312144i | 0.813815 | − | 0.0543373i | ||||
\(34\) | 14.7689 | − | 2.60416i | 2.53285 | − | 0.446610i | ||||
\(35\) | −0.000269024 | 0.00142280i | −4.54734e−5 | 0.000240497i | ||||||
\(36\) | 6.73289 | − | 5.19248i | 1.12215 | − | 0.865413i | ||||
\(37\) | 0.253391 | − | 0.0678960i | 0.0416573 | − | 0.0111620i | −0.237930 | − | 0.971282i | \(-0.576469\pi\) |
0.279587 | + | 0.960120i | \(0.409802\pi\) | |||||||
\(38\) | 1.63450 | + | 3.50519i | 0.265151 | + | 0.568617i | ||||
\(39\) | −2.65375 | − | 4.82319i | −0.424940 | − | 0.772328i | ||||
\(40\) | 0.662267 | + | 4.04738i | 0.104714 | + | 0.639947i | ||||
\(41\) | 7.56097 | − | 9.01082i | 1.18083 | − | 1.40725i | 0.287537 | − | 0.957770i | \(-0.407164\pi\) |
0.893289 | − | 0.449483i | \(-0.148392\pi\) | |||||||
\(42\) | −0.000687195 | 0.00236841i | −0.000106037 | 0.000365454i | ||||||
\(43\) | −7.88368 | + | 3.67622i | −1.20225 | + | 0.560618i | −0.917405 | − | 0.397955i | \(-0.869720\pi\) |
−0.284845 | + | 0.958574i | \(0.591942\pi\) | |||||||
\(44\) | −3.83342 | + | 6.63969i | −0.577910 | + | 1.00097i | ||||
\(45\) | −2.08045 | + | 6.37744i | −0.310135 | + | 0.950693i | ||||
\(46\) | 5.61759 | + | 9.72995i | 0.828268 | + | 1.43460i | ||||
\(47\) | −0.576559 | − | 0.403711i | −0.0840997 | − | 0.0588873i | 0.530770 | − | 0.847516i | \(-0.321903\pi\) |
−0.614870 | + | 0.788628i | \(0.710792\pi\) | |||||||
\(48\) | −0.188748 | − | 2.82690i | −0.0272435 | − | 0.408028i | ||||
\(49\) | 2.39414 | + | 6.57785i | 0.342020 | + | 0.939693i | ||||
\(50\) | −7.57928 | − | 7.96300i | −1.07187 | − | 1.12614i | ||||
\(51\) | −9.20452 | + | 7.40589i | −1.28889 | + | 1.03703i | ||||
\(52\) | 8.97374 | + | 0.785101i | 1.24443 | + | 0.108874i | ||||
\(53\) | −5.73786 | − | 5.73786i | −0.788156 | − | 0.788156i | 0.193036 | − | 0.981192i | \(-0.438167\pi\) |
−0.981192 | + | 0.193036i | \(0.938167\pi\) | |||||||
\(54\) | −4.56295 | + | 10.4739i | −0.620939 | + | 1.42532i | ||||
\(55\) | −0.452784 | − | 6.03188i | −0.0610534 | − | 0.813339i | ||||
\(56\) | −0.000763450 | 0 | 0.000909845i | −0.000102020 | 0 | 0.000121583i | ||||
\(57\) | −2.45922 | − | 1.79857i | −0.325732 | − | 0.238226i | ||||
\(58\) | −7.20599 | − | 10.2912i | −0.946193 | − | 1.35130i | ||||
\(59\) | 2.11198 | − | 0.768697i | 0.274956 | − | 0.100076i | −0.200862 | − | 0.979620i | \(-0.564374\pi\) |
0.475818 | + | 0.879544i | \(0.342152\pi\) | |||||||
\(60\) | −6.77498 | − | 8.63650i | −0.874647 | − | 1.11497i | ||||
\(61\) | −1.14333 | − | 6.48417i | −0.146389 | − | 0.830213i | −0.966241 | − | 0.257638i | \(-0.917056\pi\) |
0.819852 | − | 0.572575i | \(-0.194055\pi\) | |||||||
\(62\) | 11.5573 | + | 3.09676i | 1.46778 | + | 0.393290i | ||||
\(63\) | −0.000425105 | − | 0.00189563i | −5.35582e−5 | − | 0.000238827i | ||||
\(64\) | 10.9996 | + | 6.35064i | 1.37495 | + | 0.793830i | ||||
\(65\) | −6.19822 | + | 3.47726i | −0.768794 | + | 0.431301i | ||||
\(66\) | 0.212168 | − | 10.2996i | 0.0261161 | − | 1.26779i | ||||
\(67\) | 0.216242 | + | 2.47165i | 0.0264181 | + | 0.301960i | 0.997896 | + | 0.0648313i | \(0.0206509\pi\) |
−0.971478 | + | 0.237129i | \(0.923794\pi\) | |||||||
\(68\) | −1.68485 | − | 19.2579i | −0.204318 | − | 2.33536i | ||||
\(69\) | −7.57218 | − | 4.58228i | −0.911583 | − | 0.551642i | ||||
\(70\) | 0.00306482 | 0.000861895i | 0.000366316 | 0.000103016i | ||||||
\(71\) | −10.4316 | − | 6.02267i | −1.23800 | − | 0.714759i | −0.269314 | − | 0.963052i | \(-0.586797\pi\) |
−0.968685 | + | 0.248294i | \(0.920130\pi\) | |||||||
\(72\) | −2.96772 | − | 4.63341i | −0.349749 | − | 0.546052i | ||||
\(73\) | 1.40104 | + | 0.375408i | 0.163979 | + | 0.0439381i | 0.339875 | − | 0.940471i | \(-0.389615\pi\) |
−0.175895 | + | 0.984409i | \(0.556282\pi\) | |||||||
\(74\) | −0.100157 | − | 0.568017i | −0.0116430 | − | 0.0660306i | ||||
\(75\) | 8.25513 | + | 2.61779i | 0.953220 | + | 0.302276i | ||||
\(76\) | 4.68478 | − | 1.70512i | 0.537381 | − | 0.195591i | ||||
\(77\) | 0.00100477 | + | 0.00143496i | 0.000114504 | + | 0.000163529i | ||||
\(78\) | −11.0728 | + | 4.88829i | −1.25375 | + | 0.553490i | ||||
\(79\) | −3.36157 | − | 4.00616i | −0.378206 | − | 0.450729i | 0.543041 | − | 0.839706i | \(-0.317273\pi\) |
−0.921247 | + | 0.388978i | \(0.872828\pi\) | |||||||
\(80\) | −3.64738 | + | 0.273791i | −0.407790 | + | 0.0306108i | ||||
\(81\) | −0.828138 | − | 8.96182i | −0.0920153 | − | 0.995758i | ||||
\(82\) | −18.2876 | − | 18.2876i | −2.01953 | − | 2.01953i | ||||
\(83\) | 15.9554 | + | 1.39592i | 1.75134 | + | 0.153222i | 0.917224 | − | 0.398372i | \(-0.130425\pi\) |
0.834113 | + | 0.551594i | \(0.185980\pi\) | |||||||
\(84\) | 0.00296416 | + | 0.00114854i | 0.000323416 | + | 0.000125316i | ||||
\(85\) | 9.65872 | + | 11.8037i | 1.04764 | + | 1.28029i | ||||
\(86\) | 6.54134 | + | 17.9722i | 0.705371 | + | 1.93799i | ||||
\(87\) | 8.88163 | + | 4.36647i | 0.952211 | + | 0.468135i | ||||
\(88\) | 4.06424 | + | 2.84581i | 0.433249 | + | 0.303364i | ||||
\(89\) | −2.99426 | − | 5.18621i | −0.317391 | − | 0.549737i | 0.662552 | − | 0.749016i | \(-0.269473\pi\) |
−0.979943 | + | 0.199279i | \(0.936140\pi\) | |||||||
\(90\) | 13.5699 | + | 5.77892i | 1.43039 | + | 0.609152i | ||||
\(91\) | 0.00102910 | − | 0.00178245i | 0.000107879 | − | 0.000186852i | ||||
\(92\) | 13.1257 | − | 6.12062i | 1.36845 | − | 0.638118i | ||||
\(93\) | −9.15278 | + | 2.25151i | −0.949099 | + | 0.233470i | ||||
\(94\) | −0.994737 | + | 1.18548i | −0.102599 | + | 0.122273i | ||||
\(95\) | −2.29565 | + | 3.19390i | −0.235529 | + | 0.327687i | ||||
\(96\) | −12.5802 | − | 0.259149i | −1.28396 | − | 0.0264492i | ||||
\(97\) | 3.55678 | + | 7.62753i | 0.361136 | + | 0.774459i | 0.999987 | + | 0.00512815i | \(0.00163235\pi\) |
−0.638851 | + | 0.769331i | \(0.720590\pi\) | |||||||
\(98\) | 14.8663 | − | 3.98342i | 1.50173 | − | 0.402386i | ||||
\(99\) | 3.76482 | + | 7.18927i | 0.378378 | + | 0.722549i | ||||
\(100\) | −11.0771 | + | 8.83821i | −1.10771 | + | 0.883821i | ||||
\(101\) | 11.3335 | − | 1.99841i | 1.12773 | − | 0.198849i | 0.421496 | − | 0.906830i | \(-0.361505\pi\) |
0.706231 | + | 0.707981i | \(0.250394\pi\) | |||||||
\(102\) | 14.4574 | + | 21.5799i | 1.43149 | + | 2.13673i | ||||
\(103\) | 2.89813 | − | 6.21507i | 0.285562 | − | 0.612389i | −0.710237 | − | 0.703963i | \(-0.751412\pi\) |
0.995798 | + | 0.0915740i | \(0.0291898\pi\) | |||||||
\(104\) | 1.01227 | − | 5.74088i | 0.0992615 | − | 0.562940i | ||||
\(105\) | −0.00244263 | 0.000568991i | −0.000238376 | 5.55279e-5i | ||||||
\(106\) | −13.6672 | + | 11.4682i | −1.32748 | + | 1.11389i | ||||
\(107\) | 9.67551 | − | 9.67551i | 0.935367 | − | 0.935367i | −0.0626673 | − | 0.998034i | \(-0.519961\pi\) |
0.998034 | + | 0.0626673i | \(0.0199607\pi\) | |||||||
\(108\) | 12.9373 | + | 7.03617i | 1.24489 | + | 0.677056i | ||||
\(109\) | − | 3.73835i | − | 0.358069i | −0.983843 | − | 0.179034i | \(-0.942703\pi\) | ||
0.983843 | − | 0.179034i | \(-0.0572974\pi\) | |||||||
\(110\) | −13.2985 | − | 0.164136i | −1.26796 | − | 0.0156498i | ||||
\(111\) | 0.284832 | + | 0.354008i | 0.0270351 | + | 0.0336010i | ||||
\(112\) | 0.000867696 | 0 | 0.000607567i | 8.19895e−5 | 0 | 5.74097e-5i | ||||
\(113\) | 1.01289 | + | 0.472320i | 0.0952851 | + | 0.0444322i | 0.469676 | − | 0.882839i | \(-0.344371\pi\) |
−0.374391 | + | 0.927271i | \(0.622148\pi\) | |||||||
\(114\) | −4.41068 | + | 5.04180i | −0.413098 | + | 0.472208i | ||||
\(115\) | −5.83480 | + | 9.82414i | −0.544098 | + | 0.916106i | ||||
\(116\) | −14.0249 | + | 8.09728i | −1.30218 | + | 0.751814i | ||||
\(117\) | 5.78608 | − | 7.57878i | 0.534923 | − | 0.700658i | ||||
\(118\) | −1.27897 | − | 4.77320i | −0.117739 | − | 0.439408i | ||||
\(119\) | −0.00415058 | − | 0.00151069i | −0.000380483 | − | 0.000138484i | ||||
\(120\) | −5.94987 | + | 3.88056i | −0.543146 | + | 0.354245i | ||||
\(121\) | 2.82079 | + | 2.36692i | 0.256435 | + | 0.215175i | ||||
\(122\) | −14.4215 | + | 1.26171i | −1.30566 | + | 0.114230i | ||||
\(123\) | 19.5667 | + | 5.67730i | 1.76427 | + | 0.511905i | ||||
\(124\) | 5.27510 | − | 14.4932i | 0.473718 | − | 1.30153i | ||||
\(125\) | 3.29146 | − | 10.6849i | 0.294397 | − | 0.955683i | ||||
\(126\) | −0.00423348 | 0.000567858i | −0.000377148 | 5.05889e-5i | ||||||
\(127\) | 2.70398 | − | 10.0914i | 0.239940 | − | 0.895467i | −0.735920 | − | 0.677068i | \(-0.763250\pi\) |
0.975860 | − | 0.218398i | \(-0.0700832\pi\) | |||||||
\(128\) | 7.68398 | − | 10.9739i | 0.679175 | − | 0.969962i | ||||
\(129\) | −11.3397 | − | 9.92024i | −0.998409 | − | 0.873429i | ||||
\(130\) | 6.42854 | + | 14.2424i | 0.563820 | + | 1.24914i | ||||
\(131\) | −14.3376 | − | 2.52811i | −1.25269 | − | 0.220882i | −0.492341 | − | 0.870402i | \(-0.663859\pi\) |
−0.760345 | + | 0.649520i | \(0.774970\pi\) | |||||||
\(132\) | −13.2022 | − | 1.42958i | −1.14910 | − | 0.124429i | ||||
\(133\) | 9.92788e−5 | − | 0.00113476i | 8.60857e−6 | − | 9.83964e-5i | ||||
\(134\) | 5.45513 | 0.471251 | ||||||||
\(135\) | −11.5604 | + | 1.16459i | −0.994964 | + | 0.100232i | ||||
\(136\) | −12.5102 | −1.07274 | ||||||||
\(137\) | 0.637262 | − | 7.28394i | 0.0544450 | − | 0.622309i | −0.919132 | − | 0.393950i | \(-0.871108\pi\) |
0.973577 | − | 0.228359i | \(-0.0733361\pi\) | |||||||
\(138\) | −11.4877 | + | 15.7074i | −0.977896 | + | 1.33710i | ||||
\(139\) | −3.00586 | − | 0.530014i | −0.254953 | − | 0.0449552i | 0.0447106 | − | 0.999000i | \(-0.485763\pi\) |
−0.299664 | + | 0.954045i | \(0.596875\pi\) | |||||||
\(140\) | 0.00145112 | − | 0.00383882i | 0.000122642 | − | 0.000324440i | ||||
\(141\) | 0.236376 | − | 1.19597i | 0.0199065 | − | 0.100718i | ||||
\(142\) | −15.1905 | + | 21.6943i | −1.27476 | + | 1.82054i | ||||
\(143\) | −2.22528 | + | 8.30486i | −0.186087 | + | 0.694487i | ||||
\(144\) | 4.34724 | − | 2.27652i | 0.362270 | − | 0.189710i | ||||
\(145\) | 5.54225 | − | 11.5123i | 0.460259 | − | 0.956043i | ||||
\(146\) | 1.09074 | − | 2.99678i | 0.0902701 | − | 0.248015i | ||||
\(147\) | −8.74796 | + | 8.39483i | −0.721520 | + | 0.692394i | ||||
\(148\) | −0.740664 | + | 0.0647997i | −0.0608822 | + | 0.00532650i | ||||
\(149\) | 7.76525 | + | 6.51582i | 0.636154 | + | 0.533797i | 0.902834 | − | 0.429988i | \(-0.141482\pi\) |
−0.266680 | + | 0.963785i | \(0.585927\pi\) | |||||||
\(150\) | 7.31569 | − | 17.5797i | 0.597324 | − | 1.43537i | ||||
\(151\) | 17.4779 | + | 6.36142i | 1.42233 | + | 0.517685i | 0.934722 | − | 0.355379i | \(-0.115648\pi\) |
0.487605 | + | 0.873064i | \(0.337870\pi\) | |||||||
\(152\) | −0.835020 | − | 3.11634i | −0.0677291 | − | 0.252768i | ||||
\(153\) | −18.1734 | − | 9.40419i | −1.46923 | − | 0.760284i | ||||
\(154\) | 0.00333555 | − | 0.00192578i | 0.000268786 | − | 0.000155184i | ||||
\(155\) | 3.00413 | + | 11.7918i | 0.241297 | + | 0.947139i | ||||
\(156\) | 5.03323 | + | 14.7682i | 0.402981 | + | 1.18240i | ||||
\(157\) | −0.293204 | − | 0.136723i | −0.0234002 | − | 0.0109117i | 0.410883 | − | 0.911688i | \(-0.365220\pi\) |
−0.434283 | + | 0.900776i | \(0.642998\pi\) | |||||||
\(158\) | −9.41892 | + | 6.59520i | −0.749329 | + | 0.524686i | ||||
\(159\) | 5.07803 | − | 13.1054i | 0.402714 | − | 1.03933i | ||||
\(160\) | −0.200481 | + | 16.2432i | −0.0158494 | + | 1.28413i | ||||
\(161\) | − | 0.00330906i | − | 0.000260790i | ||||||
\(162\) | −19.7879 | + | 0.0965494i | −1.55468 | + | 0.00758564i | ||||
\(163\) | −3.86594 | + | 3.86594i | −0.302804 | + | 0.302804i | −0.842110 | − | 0.539306i | \(-0.818687\pi\) |
0.539306 | + | 0.842110i | \(0.318687\pi\) | |||||||
\(164\) | −25.5384 | + | 21.4292i | −1.99421 | + | 1.67334i | ||||
\(165\) | 9.24087 | − | 4.93681i | 0.719401 | − | 0.384330i | ||||
\(166\) | 6.11500 | − | 34.6799i | 0.474616 | − | 2.69168i | ||||
\(167\) | −7.78235 | + | 16.6893i | −0.602217 | + | 1.29146i | 0.334838 | + | 0.942276i | \(0.391318\pi\) |
−0.937055 | + | 0.349182i | \(0.886459\pi\) | |||||||
\(168\) | 0.000907620 | − | 0.00184614i | 7.00244e−5 | − | 0.000142433i | ||||
\(169\) | −2.85412 | + | 0.503259i | −0.219548 | + | 0.0387122i | ||||
\(170\) | 27.7046 | − | 18.8937i | 2.12484 | − | 1.44908i | ||||
\(171\) | 1.12960 | − | 5.15478i | 0.0863828 | − | 0.394196i | ||||
\(172\) | 23.8136 | − | 6.38085i | 1.81577 | − | 0.486535i | ||||
\(173\) | 1.25855 | + | 2.69896i | 0.0956855 | + | 0.205198i | 0.948324 | − | 0.317302i | \(-0.102777\pi\) |
−0.852639 | + | 0.522501i | \(0.824999\pi\) | |||||||
\(174\) | 11.2659 | − | 18.6168i | 0.854066 | − | 1.41134i | ||||
\(175\) | 0.000760571 | 0.00314725i | 5.74937e−5 | 0.000237910i | ||||||
\(176\) | −2.84428 | + | 3.38968i | −0.214395 | + | 0.255506i | ||||
\(177\) | 2.69536 | + | 2.80875i | 0.202596 | + | 0.211118i | ||||
\(178\) | −11.9332 | + | 5.56454i | −0.894431 | + | 0.417080i | ||||
\(179\) | −8.26245 | + | 14.3110i | −0.617564 | + | 1.06965i | 0.372365 | + | 0.928087i | \(0.378547\pi\) |
−0.989929 | + | 0.141566i | \(0.954786\pi\) | |||||||
\(180\) | 8.94547 | − | 16.7764i | 0.666756 | − | 1.25044i | ||||
\(181\) | 4.81540 | + | 8.34051i | 0.357926 | + | 0.619945i | 0.987614 | − | 0.156902i | \(-0.0501508\pi\) |
−0.629688 | + | 0.776848i | \(0.716817\pi\) | |||||||
\(182\) | −0.00370692 | − | 0.00259561i | −0.000274775 | − | 0.000192400i | ||||
\(183\) | 9.47449 | − | 6.34738i | 0.700374 | − | 0.469212i | ||||
\(184\) | −3.20550 | − | 8.80705i | −0.236313 | − | 0.649264i | ||||
\(185\) | 0.453971 | − | 0.371477i | 0.0333766 | − | 0.0273115i | ||||
\(186\) | 3.17758 | + | 20.4789i | 0.232992 | + | 1.50159i | ||||
\(187\) | 18.3810 | + | 1.60813i | 1.34415 | + | 0.117598i | ||||
\(188\) | 1.41056 | + | 1.41056i | 0.102876 | + | 0.102876i | ||||
\(189\) | 0.00270628 | − | 0.00199960i | 0.000196853 | − | 0.000145449i | ||||
\(190\) | 6.55572 | + | 5.64023i | 0.475602 | + | 0.409185i | ||||
\(191\) | 0.797244 | + | 0.950119i | 0.0576866 | + | 0.0687482i | 0.794116 | − | 0.607766i | \(-0.207934\pi\) |
−0.736430 | + | 0.676514i | \(0.763490\pi\) | |||||||
\(192\) | −2.36831 | + | 21.8714i | −0.170918 | + | 1.57843i | ||||
\(193\) | 10.1567 | + | 14.5052i | 0.731093 | + | 1.04411i | 0.996791 | + | 0.0800524i | \(0.0255088\pi\) |
−0.265698 | + | 0.964056i | \(0.585602\pi\) | |||||||
\(194\) | 17.3883 | − | 6.32881i | 1.24840 | − | 0.454382i | ||||
\(195\) | −9.84549 | − | 7.38878i | −0.705050 | − | 0.529121i | ||||
\(196\) | −3.44506 | − | 19.5379i | −0.246076 | − | 1.39557i | ||||
\(197\) | −16.4067 | − | 4.39615i | −1.16893 | − | 0.313213i | −0.378401 | − | 0.925642i | \(-0.623526\pi\) |
−0.790526 | + | 0.612429i | \(0.790193\pi\) | |||||||
\(198\) | 16.4682 | − | 6.86847i | 1.17034 | − | 0.488121i | ||||
\(199\) | −9.13371 | − | 5.27335i | −0.647472 | − | 0.373818i | 0.140015 | − | 0.990149i | \(-0.455285\pi\) |
−0.787487 | + | 0.616331i | \(0.788618\pi\) | |||||||
\(200\) | 5.07302 | + | 7.63963i | 0.358717 | + | 0.540204i | ||||
\(201\) | −3.76510 | + | 2.07159i | −0.265570 | + | 0.146118i | ||||
\(202\) | −2.20532 | − | 25.2069i | −0.155166 | − | 1.77355i | ||||
\(203\) | 0.000322495 | 0.00368613i | 2.26347e−5 | 0.000258716i | ||||||
\(204\) | 29.3358 | − | 16.1408i | 2.05392 | − | 1.13008i | ||||
\(205\) | 7.12059 | − | 25.3202i | 0.497324 | − | 1.76844i | ||||
\(206\) | −13.0576 | − | 7.53880i | −0.909765 | − | 0.525253i | ||||
\(207\) | 1.96387 | − | 15.2036i | 0.136498 | − | 1.05672i | ||||
\(208\) | 5.02181 | + | 1.34559i | 0.348200 | + | 0.0932999i | ||||
\(209\) | 0.826290 | + | 4.68612i | 0.0571557 | + | 0.324146i | ||||
\(210\) | 0.000778193 | 0.00545916i | 5.37004e−5 | 0.000376718i | ||||||
\(211\) | 0.169003 | − | 0.0615119i | 0.0116346 | − | 0.00423465i | −0.336196 | − | 0.941792i | \(-0.609141\pi\) |
0.347831 | + | 0.937557i | \(0.386918\pi\) | |||||||
\(212\) | 13.1912 | + | 18.8390i | 0.905978 | + | 1.29387i | ||||
\(213\) | 2.24600 | − | 20.7419i | 0.153894 | − | 1.42121i | ||||
\(214\) | −19.3383 | − | 23.0465i | −1.32194 | − | 1.57543i | ||||
\(215\) | −12.6857 | + | 14.7448i | −0.865157 | + | 1.00558i | ||||
\(216\) | 5.26574 | − | 7.94351i | 0.358288 | − | 0.540488i | ||||
\(217\) | −0.00249185 | − | 0.00249185i | −0.000169158 | − | 0.000169158i | ||||
\(218\) | −8.18815 | − | 0.716371i | −0.554572 | − | 0.0485187i | ||||
\(219\) | 0.385205 | + | 2.48257i | 0.0260297 | + | 0.167757i | ||||
\(220\) | −1.70482 | + | 17.0586i | −0.114939 | + | 1.15009i | ||||
\(221\) | −7.41460 | − | 20.3715i | −0.498760 | − | 1.37033i | ||||
\(222\) | 0.829970 | − | 0.556034i | 0.0557039 | − | 0.0373185i | ||||
\(223\) | −15.0996 | − | 10.5728i | −1.01114 | − | 0.708010i | −0.0542728 | − | 0.998526i | \(-0.517284\pi\) |
−0.956870 | + | 0.290516i | \(0.906173\pi\) | |||||||
\(224\) | −0.00235221 | − | 0.00407414i | −0.000157163 | − | 0.000272215i | ||||
\(225\) | 1.62663 | + | 14.9115i | 0.108442 | + | 0.994103i | ||||
\(226\) | 1.22863 | − | 2.12804i | 0.0817271 | − | 0.141555i | ||||
\(227\) | −14.1883 | + | 6.61613i | −0.941713 | + | 0.439128i | −0.831963 | − | 0.554831i | \(-0.812783\pi\) |
−0.109750 | + | 0.993959i | \(0.535005\pi\) | |||||||
\(228\) | 5.97884 | + | 6.23034i | 0.395958 | + | 0.412615i | ||||
\(229\) | −4.54463 | + | 5.41608i | −0.300318 | + | 0.357904i | −0.895008 | − | 0.446050i | \(-0.852830\pi\) |
0.594690 | + | 0.803955i | \(0.297275\pi\) | |||||||
\(230\) | 20.3998 | + | 14.6626i | 1.34513 | + | 0.966825i | ||||
\(231\) | −0.00157086 | + | 0.00259584i | −0.000103355 | + | 0.000170794i | ||||
\(232\) | 4.42910 | + | 9.49823i | 0.290785 | + | 0.623590i | ||||
\(233\) | 2.20921 | − | 0.591957i | 0.144730 | − | 0.0387804i | −0.185726 | − | 0.982601i | \(-0.559464\pi\) |
0.330457 | + | 0.943821i | \(0.392797\pi\) | |||||||
\(234\) | −15.4911 | − | 14.1256i | −1.01269 | − | 0.923421i | ||||
\(235\) | −1.54645 | − | 0.292404i | −0.100879 | − | 0.0190744i | ||||
\(236\) | −6.27313 | + | 1.10612i | −0.408346 | + | 0.0720024i | ||||
\(237\) | 3.99637 | − | 8.12881i | 0.259592 | − | 0.528023i | ||||
\(238\) | −0.00410424 | + | 0.00880157i | −0.000266038 | + | 0.000570521i | ||||
\(239\) | −1.33675 | + | 7.58107i | −0.0864670 | + | 0.490379i | 0.910563 | + | 0.413369i | \(0.135648\pi\) |
−0.997030 | + | 0.0770092i | \(0.975463\pi\) | |||||||
\(240\) | −2.98521 | − | 5.58781i | −0.192694 | − | 0.360691i | ||||
\(241\) | −7.35154 | + | 6.16868i | −0.473555 | + | 0.397359i | −0.848089 | − | 0.529853i | \(-0.822247\pi\) |
0.374535 | + | 0.927213i | \(0.377802\pi\) | |||||||
\(242\) | 5.72484 | − | 5.72484i | 0.368007 | − | 0.368007i | ||||
\(243\) | 13.6208 | − | 7.58109i | 0.873777 | − | 0.486327i | ||||
\(244\) | 18.6609i | 1.19464i | ||||||||
\(245\) | 10.9305 | + | 11.2037i | 0.698326 | + | 0.715780i | ||||
\(246\) | 16.1846 | − | 41.7694i | 1.03189 | − | 2.66312i | ||||
\(247\) | 4.57972 | − | 3.20676i | 0.291401 | − | 0.204041i | ||||
\(248\) | −9.04592 | − | 4.21818i | −0.574416 | − | 0.267855i | ||||
\(249\) | 8.94915 | + | 26.2581i | 0.567129 | + | 1.66404i | ||||
\(250\) | −22.7725 | − | 9.25685i | −1.44026 | − | 0.585454i | ||||
\(251\) | −4.10987 | + | 2.37283i | −0.259413 | + | 0.149772i | −0.624067 | − | 0.781371i | \(-0.714521\pi\) |
0.364654 | + | 0.931143i | \(0.381187\pi\) | |||||||
\(252\) | 0.000253588 | 0.00550016i | 1.59745e−5 | 0.000346478i | ||||||
\(253\) | 3.57769 | + | 13.3521i | 0.224927 | + | 0.839440i | ||||
\(254\) | −21.5852 | − | 7.85635i | −1.35437 | − | 0.492951i | ||||
\(255\) | −11.9467 | + | 23.5612i | −0.748129 | + | 1.47546i | ||||
\(256\) | −3.10423 | − | 2.60476i | −0.194015 | − | 0.162798i | ||||
\(257\) | −12.0332 | + | 1.05277i | −0.750612 | + | 0.0656701i | −0.456040 | − | 0.889959i | \(-0.650733\pi\) |
−0.294572 | + | 0.955629i | \(0.595177\pi\) | |||||||
\(258\) | −23.9014 | + | 22.9366i | −1.48804 | + | 1.42797i | ||||
\(259\) | −5.81013e−5 | 0 | 0.000159632i | −3.61024e−6 | 0 | 9.91906e-6i | ||||
\(260\) | 19.0114 | − | 6.65503i | 1.17904 | − | 0.412728i | ||||
\(261\) | −0.705942 | + | 17.1275i | −0.0436967 | + | 1.06016i | ||||
\(262\) | −8.28485 | + | 30.9195i | −0.511840 | + | 1.91021i | ||||
\(263\) | −4.91225 | + | 7.01542i | −0.302902 | + | 0.432589i | −0.941531 | − | 0.336926i | \(-0.890613\pi\) |
0.638629 | + | 0.769515i | \(0.279502\pi\) | |||||||
\(264\) | −1.66625 | + | 8.43052i | −0.102550 | + | 0.518863i | ||||
\(265\) | −16.9726 | − | 6.41581i | −1.04262 | − | 0.394120i | ||||
\(266\) | −0.00246646 | 0.000434903i | −0.000151228 | 2.66656e-5i | ||||||
\(267\) | 6.12310 | − | 8.37225i | 0.374728 | − | 0.512374i | ||||
\(268\) | 0.612870 | − | 7.00513i | 0.0374370 | − | 0.427907i | ||||
\(269\) | 17.3406 | 1.05728 | 0.528638 | − | 0.848847i | \(-0.322703\pi\) | ||||
0.528638 | + | 0.848847i | \(0.322703\pi\) | |||||||
\(270\) | 0.335520 | + | 25.5441i | 0.0204191 | + | 1.55457i | ||||
\(271\) | −11.8573 | −0.720278 | −0.360139 | − | 0.932899i | \(-0.617271\pi\) | ||||
−0.360139 | + | 0.932899i | \(0.617271\pi\) | |||||||
\(272\) | 0.972407 | − | 11.1147i | 0.0589609 | − | 0.673926i | ||||
\(273\) | 0.00354418 | 0.000383777i | 0.000214504 | 2.32272e-5i | ||||||
\(274\) | −15.8320 | − | 2.79161i | −0.956446 | − | 0.168647i | ||||
\(275\) | −6.47166 | − | 11.8769i | −0.390256 | − | 0.716204i | ||||
\(276\) | 18.8798 | + | 16.5164i | 1.13643 | + | 0.994172i | ||||
\(277\) | 11.4745 | − | 16.3872i | 0.689433 | − | 0.984613i | −0.309993 | − | 0.950739i | \(-0.600327\pi\) |
0.999426 | − | 0.0338740i | \(-0.0107845\pi\) | |||||||
\(278\) | −1.73690 | + | 6.48220i | −0.104172 | + | 0.388776i | ||||
\(279\) | −9.97002 | − | 12.9278i | −0.596889 | − | 0.773964i | ||||
\(280\) | −0.00239295 | − | 0.00115202i | −0.000143006 | − | 6.88462e-5i | ||||
\(281\) | −2.66069 | + | 7.31019i | −0.158724 | + | 0.436089i | −0.993407 | − | 0.114641i | \(-0.963428\pi\) |
0.834683 | + | 0.550730i | \(0.185651\pi\) | |||||||
\(282\) | −2.57424 | − | 0.746917i | −0.153294 | − | 0.0444783i | ||||
\(283\) | 14.9700 | − | 1.30970i | 0.889873 | − | 0.0778538i | 0.366957 | − | 0.930238i | \(-0.380400\pi\) |
0.522916 | + | 0.852384i | \(0.324844\pi\) | |||||||
\(284\) | 26.1518 | + | 21.9440i | 1.55182 | + | 1.30213i | ||||
\(285\) | −6.66661 | − | 1.40333i | −0.394896 | − | 0.0831258i | ||||
\(286\) | 17.7638 | + | 6.46550i | 1.05040 | + | 0.382313i | ||||
\(287\) | 0.00197148 | + | 0.00735767i | 0.000116373 | + | 0.000434310i | ||||
\(288\) | −8.38936 | − | 20.1148i | −0.494348 | − | 1.18527i | ||||
\(289\) | −25.5680 | + | 14.7617i | −1.50400 | + | 0.868336i | ||||
\(290\) | −24.1534 | − | 14.3453i | −1.41834 | − | 0.842387i | ||||
\(291\) | −9.59793 | + | 10.9713i | −0.562641 | + | 0.643150i | ||||
\(292\) | −3.72573 | − | 1.73734i | −0.218032 | − | 0.101670i | ||||
\(293\) | 18.4726 | − | 12.9347i | 1.07918 | − | 0.755651i | 0.108038 | − | 0.994147i | \(-0.465543\pi\) |
0.971144 | + | 0.238495i | \(0.0766542\pi\) | |||||||
\(294\) | 16.7109 | + | 20.7695i | 0.974602 | + | 1.21130i | ||||
\(295\) | 3.59723 | − | 3.50951i | 0.209439 | − | 0.204332i | ||||
\(296\) | 0.481143i | 0.0279659i | ||||||||
\(297\) | −8.75797 | + | 10.9944i | −0.508189 | + | 0.637959i | ||||
\(298\) | 15.7597 | − | 15.7597i | 0.912936 | − | 0.912936i | ||||
\(299\) | 12.4415 | − | 10.4396i | 0.719510 | − | 0.603740i | ||||
\(300\) | −21.7528 | − | 11.3694i | −1.25590 | − | 0.656411i | ||||
\(301\) | 0.000978160 | − | 0.00554742i | 5.63802e−5 | − | 0.000319748i | ||||
\(302\) | 17.2827 | − | 37.0629i | 0.994510 | − | 2.13273i | ||||
\(303\) | 11.0944 | + | 16.5602i | 0.637358 | + | 0.951360i | ||||
\(304\) | 2.83362 | − | 0.499644i | 0.162519 | − | 0.0286566i | ||||
\(305\) | −8.29512 | − | 12.1634i | −0.474977 | − | 0.696477i | ||||
\(306\) | −24.0806 | + | 38.0033i | −1.37660 | + | 2.17250i | ||||
\(307\) | 4.88220 | − | 1.30818i | 0.278642 | − | 0.0746619i | −0.116792 | − | 0.993156i | \(-0.537261\pi\) |
0.395434 | + | 0.918495i | \(0.370594\pi\) | |||||||
\(308\) | −0.00209822 | − | 0.00449965i | −0.000119557 | − | 0.000256392i | ||||
\(309\) | 11.8751 | + | 0.244625i | 0.675553 | + | 0.0139162i | ||||
\(310\) | 26.4034 | − | 4.32034i | 1.49961 | − | 0.245379i | ||||
\(311\) | 12.6744 | − | 15.1048i | 0.718699 | − | 0.856512i | −0.275805 | − | 0.961214i | \(-0.588944\pi\) |
0.994504 | + | 0.104702i | \(0.0333888\pi\) | |||||||
\(312\) | 9.80460 | − | 2.41185i | 0.555076 | − | 0.136544i | ||||
\(313\) | −24.5912 | + | 11.4671i | −1.38998 | + | 0.648157i | −0.966244 | − | 0.257629i | \(-0.917059\pi\) |
−0.423734 | + | 0.905787i | \(0.639281\pi\) | |||||||
\(314\) | −0.355652 | + | 0.616007i | −0.0200706 | + | 0.0347633i | ||||
\(315\) | −0.00261022 | − | 0.00347237i | −0.000147069 | − | 0.000195646i | ||||
\(316\) | 7.41094 | + | 12.8361i | 0.416898 | + | 0.722089i | ||||
\(317\) | 0.204479 | + | 0.143177i | 0.0114847 | + | 0.00804165i | 0.579305 | − | 0.815111i | \(-0.303324\pi\) |
−0.567820 | + | 0.823153i | \(0.692213\pi\) | |||||||
\(318\) | −27.7319 | − | 13.6338i | −1.55513 | − | 0.764547i | ||||
\(319\) | −5.28664 | − | 14.5249i | −0.295995 | − | 0.813240i | ||||
\(320\) | 28.2602 | + | 2.82429i | 1.57979 | + | 0.157883i | ||||
\(321\) | 22.0991 | + | 8.56286i | 1.23345 | + | 0.477932i | ||||
\(322\) | −0.00724787 | 0.000634107i | −0.000403908 | 3.53374e-5i | ||||||
\(323\) | −8.48389 | − | 8.48389i | −0.472056 | − | 0.472056i | ||||
\(324\) | −2.09913 | + | 25.4212i | −0.116619 | + | 1.41229i | ||||
\(325\) | −9.43362 | + | 12.7888i | −0.523283 | + | 0.709394i | ||||
\(326\) | 7.72680 | + | 9.20844i | 0.427948 | + | 0.510009i | ||||
\(327\) | 5.92347 | − | 2.61502i | 0.327569 | − | 0.144611i | ||||
\(328\) | 12.3745 | + | 17.6726i | 0.683268 | + | 0.975808i | ||||
\(329\) | 0.000428303 | 0 | 0.000155890i | 2.36131e−5 | 0 | 8.59448e-6i | ||||
\(330\) | −9.04235 | − | 21.1864i | −0.497765 | − | 1.16627i | ||||
\(331\) | 0.820786 | + | 4.65491i | 0.0451145 | + | 0.255857i | 0.999021 | − | 0.0442484i | \(-0.0140893\pi\) |
−0.953906 | + | 0.300105i | \(0.902978\pi\) | |||||||
\(332\) | −43.8467 | − | 11.7487i | −2.40640 | − | 0.644794i | ||||
\(333\) | −0.361687 | + | 0.698953i | −0.0198203 | + | 0.0383024i | ||||
\(334\) | 35.0635 | + | 20.2439i | 1.91859 | + | 1.10770i | ||||
\(335\) | 2.71444 | + | 4.83849i | 0.148306 | + | 0.264355i | ||||
\(336\) | 0.00156966 | 0.000949876i | 8.56320e−5 | 5.18200e-5i | ||||||
\(337\) | 0.943046 | + | 10.7791i | 0.0513710 | + | 0.587173i | 0.977637 | + | 0.210302i | \(0.0674446\pi\) |
−0.926266 | + | 0.376872i | \(0.877000\pi\) | |||||||
\(338\) | 0.555366 | + | 6.34786i | 0.0302079 | + | 0.345278i | ||||
\(339\) | −0.0398674 | + | 1.93534i | −0.00216530 | + | 0.105113i | ||||
\(340\) | −21.1496 | − | 37.6991i | −1.14700 | − | 2.04452i | ||||
\(341\) | 12.7488 | + | 7.36051i | 0.690385 | + | 0.398594i | ||||
\(342\) | −11.0741 | − | 3.46198i | −0.598820 | − | 0.187202i | ||||
\(343\) | −0.00875706 | − | 0.00234645i | −0.000472837 | − | 0.000126696i | ||||
\(344\) | −2.77045 | − | 15.7120i | −0.149373 | − | 0.847134i | ||||
\(345\) | −19.6480 | − | 2.37323i | −1.05781 | − | 0.127771i | ||||
\(346\) | 6.15274 | − | 2.23942i | 0.330774 | − | 0.120392i | ||||
\(347\) | 13.7981 | + | 19.7058i | 0.740723 | + | 1.05786i | 0.995855 | + | 0.0909561i | \(0.0289923\pi\) |
−0.255132 | + | 0.966906i | \(0.582119\pi\) | |||||||
\(348\) | −22.6408 | − | 16.5585i | −1.21368 | − | 0.887630i | ||||
\(349\) | −0.752338 | − | 0.896601i | −0.0402717 | − | 0.0479940i | 0.745533 | − | 0.666469i | \(-0.232195\pi\) |
−0.785804 | + | 0.618475i | \(0.787751\pi\) | |||||||
\(350\) | 0.00703921 | − | 0.00106279i | 0.000376262 | − | 5.68084e-5i | ||||
\(351\) | 16.0561 | + | 3.86669i | 0.857012 | + | 0.206388i | ||||
\(352\) | 13.8961 | + | 13.8961i | 0.740662 | + | 0.740662i | ||||
\(353\) | −20.1919 | − | 1.76656i | −1.07470 | − | 0.0940245i | −0.463963 | − | 0.885855i | \(-0.653573\pi\) |
−0.610741 | + | 0.791830i | \(0.709129\pi\) | |||||||
\(354\) | 6.66854 | − | 5.36546i | 0.354429 | − | 0.285171i | ||||
\(355\) | −26.8007 | − | 2.67843i | −1.42243 | − | 0.142157i | ||||
\(356\) | 5.80497 | + | 15.9490i | 0.307663 | + | 0.845296i | ||||
\(357\) | −0.000509670 | − | 0.00763339i | −2.69746e−5 | − | 0.000404002i | ||||
\(358\) | 29.7622 | + | 20.8397i | 1.57298 | + | 1.10141i | ||||
\(359\) | 13.1082 | + | 22.7040i | 0.691823 | + | 1.19827i | 0.971240 | + | 0.238102i | \(0.0765253\pi\) |
−0.279418 | + | 0.960170i | \(0.590141\pi\) | |||||||
\(360\) | −10.3108 | − | 6.71316i | −0.543427 | − | 0.353815i | ||||
\(361\) | −7.95290 | + | 13.7748i | −0.418574 | + | 0.724991i | ||||
\(362\) | 19.1911 | − | 8.94895i | 1.00866 | − | 0.470347i | ||||
\(363\) | −1.77725 | + | 6.12527i | −0.0932814 | + | 0.321493i | ||||
\(364\) | −0.00374959 | + | 0.00446858i | −0.000196532 | + | 0.000234217i | ||||
\(365\) | 3.20077 | − | 0.523737i | 0.167536 | − | 0.0274136i | ||||
\(366\) | −12.0872 | − | 21.9684i | −0.631807 | − | 1.14831i | ||||
\(367\) | −8.86817 | − | 19.0178i | −0.462914 | − | 0.992723i | −0.989757 | − | 0.142761i | \(-0.954402\pi\) |
0.526843 | − | 0.849963i | \(-0.323376\pi\) | |||||||
\(368\) | 8.07380 | − | 2.16337i | 0.420876 | − | 0.112773i | ||||
\(369\) | 4.69139 | + | 34.9751i | 0.244224 | + | 1.82073i | ||||
\(370\) | −0.726657 | − | 1.06552i | −0.0377771 | − | 0.0553940i | ||||
\(371\) | 0.00517492 | 0.000912477i | 0.000268668 | 4.73735e-5i | ||||||
\(372\) | 26.6547 | − | 1.77970i | 1.38198 | − | 0.0922730i | ||||
\(373\) | −0.710169 | + | 1.52296i | −0.0367712 | + | 0.0788560i | −0.923835 | − | 0.382790i | \(-0.874963\pi\) |
0.887064 | + | 0.461646i | \(0.152741\pi\) | |||||||
\(374\) | 7.04459 | − | 39.9519i | 0.364267 | − | 2.06586i | ||||
\(375\) | 19.2327 | − | 2.25881i | 0.993174 | − | 0.116644i | ||||
\(376\) | 0.988917 | − | 0.829800i | 0.0509995 | − | 0.0427937i | ||||
\(377\) | −12.8418 | + | 12.8418i | −0.661386 | + | 0.661386i | ||||
\(378\) | −0.00386115 | − | 0.00631078i | −0.000198596 | − | 0.000324592i | ||||
\(379\) | − | 11.6637i | − | 0.599126i | −0.954077 | − | 0.299563i | \(-0.903159\pi\) | ||
0.954077 | − | 0.299563i | \(-0.0968408\pi\) | |||||||
\(380\) | 7.97935 | − | 7.78478i | 0.409332 | − | 0.399351i | ||||
\(381\) | 17.8814 | − | 2.77455i | 0.916093 | − | 0.142144i | ||||
\(382\) | 2.23383 | − | 1.56415i | 0.114293 | − | 0.0800286i | ||||
\(383\) | 9.54105 | + | 4.44907i | 0.487525 | + | 0.227337i | 0.650808 | − | 0.759243i | \(-0.274430\pi\) |
−0.163283 | + | 0.986579i | \(0.552208\pi\) | |||||||
\(384\) | 22.7633 | + | 4.49904i | 1.16163 | + | 0.229591i | ||||
\(385\) | 0.00336784 | + | 0.00200024i | 0.000171641 | + | 0.000101942i | ||||
\(386\) | 33.7173 | − | 19.4667i | 1.71616 | − | 0.990828i | ||||
\(387\) | 7.78649 | − | 24.9073i | 0.395809 | − | 1.26611i | ||||
\(388\) | −6.17353 | − | 23.0399i | −0.313414 | − | 1.16968i | ||||
\(389\) | −36.8621 | − | 13.4167i | −1.86898 | − | 0.680254i | −0.970427 | − | 0.241396i | \(-0.922395\pi\) |
−0.898557 | − | 0.438858i | \(-0.855383\pi\) | |||||||
\(390\) | −18.0704 | + | 20.1488i | −0.915030 | + | 1.02027i | ||||
\(391\) | −26.6998 | − | 22.4038i | −1.35027 | − | 1.13301i | ||||
\(392\) | −12.7900 | + | 1.11898i | −0.645990 | + | 0.0565168i | ||||
\(393\) | −6.02351 | − | 24.4866i | −0.303846 | − | 1.23519i | ||||
\(394\) | −12.7729 | + | 35.0933i | −0.643491 | + | 1.76798i | ||||
\(395\) | −10.5365 | − | 5.07248i | −0.530148 | − | 0.255224i | ||||
\(396\) | −6.96989 | − | 21.9191i | −0.350250 | − | 1.10147i | ||||
\(397\) | 2.69699 | − | 10.0653i | 0.135358 | − | 0.505162i | −0.864638 | − | 0.502395i | \(-0.832452\pi\) |
0.999996 | − | 0.00276748i | \(-0.000880917\pi\) | |||||||
\(398\) | −13.3006 | + | 18.9952i | −0.666697 | + | 0.952141i | ||||
\(399\) | 0.00186749 | 0.000636470i | 9.34916e−5 | 3.18634e-5i | ||||||
\(400\) | −7.18177 | + | 3.91331i | −0.359088 | + | 0.195665i | ||||
\(401\) | 26.3401 | + | 4.64448i | 1.31536 | + | 0.231934i | 0.786931 | − | 0.617041i | \(-0.211669\pi\) |
0.528433 | + | 0.848975i | \(0.322780\pi\) | |||||||
\(402\) | 3.81592 | + | 8.64373i | 0.190321 | + | 0.431110i | ||||
\(403\) | 1.50746 | − | 17.2304i | 0.0750921 | − | 0.858306i | ||||
\(404\) | −32.6169 | −1.62275 | ||||||||
\(405\) | −9.93196 | − | 17.5030i | −0.493523 | − | 0.869733i | ||||
\(406\) | 0.00813559 | 0.000403762 | ||||||||
\(407\) | 0.0618489 | − | 0.706936i | 0.00306574 | − | 0.0350415i | ||||
\(408\) | −8.75099 | − | 19.8225i | −0.433239 | − | 0.981361i | ||||
\(409\) | 33.6400 | + | 5.93165i | 1.66339 | + | 0.293301i | 0.924687 | − | 0.380727i | \(-0.124326\pi\) |
0.738705 | + | 0.674028i | \(0.235438\pi\) | |||||||
\(410\) | −54.0947 | − | 20.4484i | −2.67154 | − | 1.00987i | ||||
\(411\) | 11.9873 | − | 4.08545i | 0.591289 | − | 0.201520i | ||||
\(412\) | −11.1478 | + | 15.9208i | −0.549214 | + | 0.784359i | ||||
\(413\) | −0.000376692 | 0.00140583i | −1.85358e−5 | 6.91766e-5i | ||||||
\(414\) | −32.9243 | − | 7.21491i | −1.61814 | − | 0.354594i | ||||
\(415\) | 33.8025 | − | 11.8327i | 1.65930 | − | 0.580847i | ||||
\(416\) | 7.89716 | − | 21.6973i | 0.387190 | − | 1.06380i | ||||
\(417\) | −1.26282 | − | 5.13357i | −0.0618403 | − | 0.251392i | ||||
\(418\) | 10.4224 | − | 0.911843i | 0.509777 | − | 0.0445997i | ||||
\(419\) | −12.2431 | − | 10.2731i | −0.598112 | − | 0.501876i | 0.292726 | − | 0.956196i | \(-0.405438\pi\) |
−0.890838 | + | 0.454321i | \(0.849882\pi\) | |||||||
\(420\) | 0.00709774 | 0.000385984i | 0.000346334 | 1.88341e-5i | ||||||
\(421\) | 29.9345 | + | 10.8953i | 1.45892 | + | 0.531002i | 0.945067 | − | 0.326878i | \(-0.105997\pi\) |
0.513850 | + | 0.857880i | \(0.328219\pi\) | |||||||
\(422\) | −0.102345 | − | 0.381956i | −0.00498206 | − | 0.0185933i | ||||
\(423\) | 2.06037 | − | 0.462050i | 0.100179 | − | 0.0224656i | ||||
\(424\) | 12.8891 | − | 7.44152i | 0.625950 | − | 0.361392i | ||||
\(425\) | 30.5436 | + | 15.1715i | 1.48158 | + | 0.735924i | ||||
\(426\) | −45.0008 | − | 8.89416i | −2.18030 | − | 0.430924i | ||||
\(427\) | 0.00386425 | + | 0.00180193i | 0.000187004 | + | 8.72015e-5i | ||||
\(428\) | −31.7675 | + | 22.2438i | −1.53554 | + | 1.07520i | ||||
\(429\) | −14.7158 | + | 2.28335i | −0.710484 | + | 0.110241i | ||||
\(430\) | 29.8647 | + | 30.6111i | 1.44020 | + | 1.47620i | ||||
\(431\) | 5.93676i | 0.285963i | 0.989725 | + | 0.142982i | \(0.0456690\pi\) | ||||
−0.989725 | + | 0.142982i | \(0.954331\pi\) | |||||||
\(432\) | 6.64813 | + | 5.29580i | 0.319858 | + | 0.254794i | ||||
\(433\) | −7.73933 | + | 7.73933i | −0.371929 | + | 0.371929i | −0.868179 | − | 0.496251i | \(-0.834710\pi\) |
0.496251 | + | 0.868179i | \(0.334710\pi\) | |||||||
\(434\) | −0.00593543 | + | 0.00498042i | −0.000284910 | + | 0.000239068i | ||||
\(435\) | 22.1182 | + | 0.728809i | 1.06049 | + | 0.0349437i | ||||
\(436\) | −1.83984 | + | 10.4342i | −0.0881122 | + | 0.499709i | ||||
\(437\) | 3.79875 | − | 8.14644i | 0.181719 | − | 0.389697i | ||||
\(438\) | 5.51142 | − | 0.367990i | 0.263346 | − | 0.0175832i | ||||
\(439\) | 28.6483 | − | 5.05146i | 1.36731 | − | 0.241093i | 0.558665 | − | 0.829394i | \(-0.311314\pi\) |
0.808642 | + | 0.588300i | \(0.200203\pi\) | |||||||
\(440\) | 10.9011 | + | 2.06120i | 0.519691 | + | 0.0982637i | ||||
\(441\) | −19.4210 | − | 7.98900i | −0.924810 | − | 0.380428i | ||||
\(442\) | −46.0407 | + | 12.3366i | −2.18993 | + | 0.586791i | ||||
\(443\) | −11.4725 | − | 24.6030i | −0.545077 | − | 1.16892i | −0.965214 | − | 0.261461i | \(-0.915796\pi\) |
0.420137 | − | 0.907461i | \(-0.361982\pi\) | |||||||
\(444\) | −0.620778 | − | 1.12826i | −0.0294608 | − | 0.0535450i | ||||
\(445\) | −10.8734 | − | 7.81540i | −0.515449 | − | 0.370485i | ||||
\(446\) | −26.0513 | + | 31.0468i | −1.23357 | + | 1.47011i | ||||
\(447\) | −4.89253 | + | 16.8620i | −0.231409 | + | 0.797547i | ||||
\(448\) | −0.00745435 | + | 0.00347602i | −0.000352185 | + | 0.000164227i | ||||
\(449\) | 1.73698 | − | 3.00854i | 0.0819733 | − | 0.141982i | −0.822124 | − | 0.569308i | \(-0.807211\pi\) |
0.904097 | + | 0.427326i | \(0.140544\pi\) | |||||||
\(450\) | 32.9726 | − | 0.705363i | 1.55435 | − | 0.0332512i | ||||
\(451\) | −15.9099 | − | 27.5568i | −0.749169 | − | 1.29760i | ||||
\(452\) | −2.59467 | − | 1.81681i | −0.122043 | − | 0.0854554i | ||||
\(453\) | 2.14620 | + | 32.1438i | 0.100837 | + | 1.51025i | ||||
\(454\) | 11.7725 | + | 32.3447i | 0.552511 | + | 1.51801i | ||||
\(455\) | 0.000457667 | − | 0.00457946i | 2.14557e−5 | − | 0.000214688i | ||||
\(456\) | 4.35378 | − | 3.50301i | 0.203884 | − | 0.164044i | ||||
\(457\) | −23.5029 | − | 2.05624i | −1.09942 | − | 0.0961868i | −0.477025 | − | 0.878890i | \(-0.658285\pi\) |
−0.622395 | + | 0.782703i | \(0.713840\pi\) | |||||||
\(458\) | 10.9920 | + | 10.9920i | 0.513624 | + | 0.513624i | ||||
\(459\) | 2.18858 | − | 35.3743i | 0.102154 | − | 1.65113i | ||||
\(460\) | 21.1207 | − | 24.5489i | 0.984757 | − | 1.14460i | ||||
\(461\) | 5.14645 | + | 6.13330i | 0.239694 | + | 0.285656i | 0.872459 | − | 0.488688i | \(-0.162524\pi\) |
−0.632765 | + | 0.774344i | \(0.718080\pi\) | |||||||
\(462\) | 0.00538467 | + | 0.00393812i | 0.000250518 | + | 0.000183218i | ||||
\(463\) | −1.35473 | − | 1.93475i | −0.0629594 | − | 0.0899154i | 0.786438 | − | 0.617670i | \(-0.211923\pi\) |
−0.849397 | + | 0.527754i | \(0.823034\pi\) | |||||||
\(464\) | −8.78299 | + | 3.19675i | −0.407740 | + | 0.148405i | ||||
\(465\) | −16.5828 | + | 13.0086i | −0.769011 | + | 0.603258i | ||||
\(466\) | −0.873225 | − | 4.95230i | −0.0404514 | − | 0.229411i | ||||
\(467\) | 19.8687 | + | 5.32380i | 0.919414 | + | 0.246356i | 0.687335 | − | 0.726341i | \(-0.258780\pi\) |
0.232079 | + | 0.972697i | \(0.425447\pi\) | |||||||
\(468\) | −19.8796 | + | 18.3057i | −0.918936 | + | 0.846183i | ||||
\(469\) | −0.00139143 | 0.000803341i | −6.42501e−5 | 3.70948e-5i | ||||||
\(470\) | −0.936800 | + | 3.33118i | −0.0432114 | + | 0.153656i | ||||
\(471\) | 0.0115405 | − | 0.560224i | 0.000531757 | − | 0.0258138i | ||||
\(472\) | 0.359274 | + | 4.10653i | 0.0165369 | + | 0.189018i | ||||
\(473\) | 2.05087 | + | 23.4415i | 0.0942989 | + | 1.07784i | ||||
\(474\) | −17.0388 | − | 10.3110i | −0.782619 | − | 0.473600i | ||||
\(475\) | −1.74058 | + | 8.62122i | −0.0798632 | + | 0.395569i | ||||
\(476\) | 0.0108413 | + | 0.00625924i | 0.000496911 | + | 0.000286892i | ||||
\(477\) | 24.3179 | − | 1.12119i | 1.11344 | − | 0.0513356i | ||||
\(478\) | 16.3488 | + | 4.38064i | 0.747775 | + | 0.200366i | ||||
\(479\) | −3.74161 | − | 21.2197i | −0.170958 | − | 0.969553i | −0.942706 | − | 0.333624i | \(-0.891728\pi\) |
0.771748 | − | 0.635929i | \(-0.219383\pi\) | |||||||
\(480\) | −25.8778 | + | 11.0446i | −1.18115 | + | 0.504115i | ||||
\(481\) | −0.783491 | + | 0.285167i | −0.0357241 | + | 0.0130025i | ||||
\(482\) | 12.1026 | + | 17.2843i | 0.551257 | + | 0.787277i | ||||
\(483\) | 0.00524325 | − | 0.00231472i | 0.000238576 | − | 0.000105324i | ||||
\(484\) | −6.70831 | − | 7.99465i | −0.304923 | − | 0.363393i | ||||
\(485\) | 14.2657 | + | 12.2735i | 0.647772 | + | 0.557312i | ||||
\(486\) | −13.9948 | − | 31.2866i | −0.634818 | − | 1.41919i | ||||
\(487\) | 2.20133 | + | 2.20133i | 0.0997518 | + | 0.0997518i | 0.755221 | − | 0.655470i | \(-0.227529\pi\) |
−0.655470 | + | 0.755221i | \(0.727529\pi\) | |||||||
\(488\) | 12.0302 | + | 1.05251i | 0.544583 | + | 0.0476449i | ||||
\(489\) | −8.82991 | − | 3.42137i | −0.399302 | − | 0.154720i | ||||
\(490\) | 26.6342 | − | 21.7943i | 1.20321 | − | 0.984568i | ||||
\(491\) | −2.81965 | − | 7.74693i | −0.127249 | − | 0.349614i | 0.859666 | − | 0.510857i | \(-0.170672\pi\) |
−0.986915 | + | 0.161243i | \(0.948450\pi\) | |||||||
\(492\) | −51.8193 | − | 25.4759i | −2.33619 | − | 1.14854i | ||||
\(493\) | 31.9257 | + | 22.3546i | 1.43786 | + | 1.00680i | ||||
\(494\) | −6.14620 | − | 10.6455i | −0.276530 | − | 0.478965i | ||||
\(495\) | 14.2865 | + | 11.1889i | 0.642132 | + | 0.502905i | ||||
\(496\) | 4.45078 | − | 7.70898i | 0.199846 | − | 0.346144i | ||||
\(497\) | 0.00706937 | − | 0.00329650i | 0.000317105 | − | 0.000147868i | ||||
\(498\) | 59.2283 | − | 14.5697i | 2.65408 | − | 0.652882i | ||||
\(499\) | −16.9583 | + | 20.2101i | −0.759156 | + | 0.904727i | −0.997794 | − | 0.0663815i | \(-0.978855\pi\) |
0.238638 | + | 0.971109i | \(0.423299\pi\) | |||||||
\(500\) | −14.4455 | + | 28.2030i | −0.646022 | + | 1.26127i | ||||
\(501\) | −31.8883 | − | 0.656890i | −1.42466 | − | 0.0293477i | ||||
\(502\) | 4.40968 | + | 9.45659i | 0.196814 | + | 0.422068i | ||||
\(503\) | 7.51109 | − | 2.01259i | 0.334903 | − | 0.0897370i | −0.0874487 | − | 0.996169i | \(-0.527871\pi\) |
0.422352 | + | 0.906432i | \(0.361205\pi\) | |||||||
\(504\) | 0.00356013 | 0.000146738i | 0.000158581 | 6.53622e-6i | ||||||
\(505\) | 21.2602 | − | 14.4988i | 0.946066 | − | 0.645190i | ||||
\(506\) | 29.9309 | − | 5.27762i | 1.33059 | − | 0.234619i | ||||
\(507\) | −2.79391 | − | 4.17036i | −0.124082 | − | 0.185212i | ||||
\(508\) | −12.5137 | + | 26.8357i | −0.555204 | + | 1.19064i | ||||
\(509\) | 5.25087 | − | 29.7791i | 0.232741 | − | 1.31994i | −0.614580 | − | 0.788855i | \(-0.710674\pi\) |
0.847320 | − | 0.531082i | \(-0.178215\pi\) | |||||||
\(510\) | 49.3170 | + | 30.6819i | 2.18379 | + | 1.35862i | ||||
\(511\) | −0.000719528 | 0 | 0.000603755i | −3.18300e−5 | 0 | 2.67086e-5i | ||||
\(512\) | 12.6456 | − | 12.6456i | 0.558861 | − | 0.558861i | ||||
\(513\) | 8.95800 | − | 1.81596i | 0.395505 | − | 0.0801765i | ||||
\(514\) | 26.5583i | 1.17144i | ||||||||
\(515\) | 0.189245 | − | 15.3328i | 0.00833913 | − | 0.675645i | ||||
\(516\) | 26.7684 | + | 33.2696i | 1.17842 | + | 1.46461i | ||||
\(517\) | −1.55967 | + | 1.09209i | −0.0685940 | + | 0.0480300i | ||||
\(518\) | 0.000338510 | 0 | 0.000157850i | 1.48733e−5 | 0 | 6.93553e-6i | ||||
\(519\) | −3.39618 | + | 3.88214i | −0.149076 | + | 0.170407i | ||||
\(520\) | −3.21807 | − | 12.6316i | −0.141122 | − | 0.553930i | ||||
\(521\) | 2.44020 | − | 1.40885i | 0.106907 | − | 0.0617227i | −0.445593 | − | 0.895236i | \(-0.647007\pi\) |
0.552500 | + | 0.833513i | \(0.313674\pi\) | |||||||
\(522\) | 37.3792 | + | 4.82833i | 1.63604 | + | 0.211330i | ||||
\(523\) | −3.41584 | − | 12.7481i | −0.149364 | − | 0.557436i | −0.999522 | − | 0.0309077i | \(-0.990160\pi\) |
0.850158 | − | 0.526528i | \(-0.176506\pi\) | |||||||
\(524\) | 38.7741 | + | 14.1126i | 1.69385 | + | 0.616512i | ||||
\(525\) | −0.00445484 | + | 0.00340667i | −0.000194425 | + | 0.000148679i | ||||
\(526\) | 14.4246 | + | 12.1037i | 0.628944 | + | 0.527747i | ||||
\(527\) | −36.9769 | + | 3.23506i | −1.61074 | + | 0.140921i | ||||
\(528\) | −7.36059 | − | 2.13568i | −0.320329 | − | 0.0929435i | ||||
\(529\) | 1.06428 | − | 2.92409i | 0.0462731 | − | 0.127134i | ||||
\(530\) | −17.3051 | + | 35.9458i | −0.751683 | + | 1.56138i | ||||
\(531\) | −2.56506 | + | 6.23559i | −0.111314 | + | 0.270602i | ||||
\(532\) | −0.000835576 | 0.00311841i | −3.62268e−5 | 0.000135200i | ||||||
\(533\) | −21.4438 | + | 30.6249i | −0.928834 | + | 1.32651i | ||||
\(534\) | −17.1645 | − | 15.0159i | −0.742780 | − | 0.649800i | ||||
\(535\) | 10.8187 | − | 28.6201i | 0.467734 | − | 1.23736i | ||||
\(536\) | −4.48148 | − | 0.790206i | −0.193570 | − | 0.0341317i | ||||
\(537\) | −28.4556 | − | 3.08127i | −1.22795 | − | 0.132967i | ||||
\(538\) | 3.32294 | − | 37.9814i | 0.143262 | − | 1.63749i | ||||
\(539\) | 18.9359 | 0.815627 | ||||||||
\(540\) | 32.8399 | + | 2.43896i | 1.41320 | + | 0.104956i | ||||
\(541\) | −11.4416 | −0.491911 | −0.245956 | − | 0.969281i | \(-0.579102\pi\) | ||||
−0.245956 | + | 0.969281i | \(0.579102\pi\) | |||||||
\(542\) | −2.27218 | + | 25.9711i | −0.0975985 | + | 1.11556i | ||||
\(543\) | −9.84723 | + | 13.4643i | −0.422585 | + | 0.577810i | ||||
\(544\) | −48.7984 | − | 8.60448i | −2.09222 | − | 0.368914i | ||||
\(545\) | −3.43898 | − | 7.61904i | −0.147310 | − | 0.326364i | ||||
\(546\) | 0.00151975 | − | 0.00768933i | 6.50395e−5 | − | 0.000329073i | ||||
\(547\) | −18.3834 | + | 26.2542i | −0.786018 | + | 1.12255i | 0.203632 | + | 0.979048i | \(0.434726\pi\) |
−0.989650 | + | 0.143503i | \(0.954163\pi\) | |||||||
\(548\) | −5.36349 | + | 20.0168i | −0.229117 | + | 0.855076i | ||||
\(549\) | 16.6850 | + | 10.5724i | 0.712099 | + | 0.451219i | ||||
\(550\) | −27.2543 | + | 11.8990i | −1.16213 | + | 0.507376i | ||||
\(551\) | −3.43769 | + | 9.44496i | −0.146450 | + | 0.402369i | ||||
\(552\) | 11.7126 | − | 11.2398i | 0.498522 | − | 0.478398i | ||||
\(553\) | 0.00337369 | 0.000295160i | 0.000143464 | 1.25515e-5i | ||||||
\(554\) | −33.6943 | − | 28.2729i | −1.43153 | − | 1.20120i | ||||
\(555\) | 0.906168 | + | 0.459472i | 0.0384647 | + | 0.0195035i | ||||
\(556\) | 8.12889 | + | 2.95868i | 0.344742 | + | 0.125476i | ||||
\(557\) | −7.68893 | − | 28.6955i | −0.325791 | − | 1.21587i | −0.913515 | − | 0.406806i | \(-0.866643\pi\) |
0.587724 | − | 0.809061i | \(-0.300024\pi\) | |||||||
\(558\) | −30.2263 | + | 19.3601i | −1.27958 | + | 0.819580i | ||||
\(559\) | 23.9433 | − | 13.8237i | 1.01269 | − | 0.584679i | ||||
\(560\) | 0.00120951 | − | 0.00203648i | 5.11113e−5 | − | 8.60569e-5i | ||||
\(561\) | 10.3096 | + | 30.2498i | 0.435271 | + | 1.27715i | ||||
\(562\) | 15.5017 | + | 7.22858i | 0.653902 | + | 0.304919i | ||||
\(563\) | 4.91264 | − | 3.43987i | 0.207043 | − | 0.144973i | −0.465456 | − | 0.885071i | \(-0.654110\pi\) |
0.672499 | + | 0.740098i | \(0.265221\pi\) | |||||||
\(564\) | −1.24835 | + | 3.22176i | −0.0525652 | + | 0.135661i | ||||
\(565\) | 2.49885 | + | 0.0308420i | 0.105127 | + | 0.00129753i | ||||
\(566\) | − | 33.0399i | − | 1.38877i | ||||||
\(567\) | 0.00506147 | + | 0.00288940i | 0.000212562 | + | 0.000121344i | ||||
\(568\) | 15.6218 | − | 15.6218i | 0.655475 | − | 0.655475i | ||||
\(569\) | 8.00903 | − | 6.72037i | 0.335756 | − | 0.281733i | −0.459284 | − | 0.888289i | \(-0.651894\pi\) |
0.795040 | + | 0.606557i | \(0.207450\pi\) | |||||||
\(570\) | −4.35123 | + | 14.3330i | −0.182253 | + | 0.600345i | ||||
\(571\) | −1.98699 | + | 11.2688i | −0.0831531 | + | 0.471584i | 0.914587 | + | 0.404390i | \(0.132516\pi\) |
−0.997740 | + | 0.0671948i | \(0.978595\pi\) | |||||||
\(572\) | 10.2983 | − | 22.0848i | 0.430594 | − | 0.923411i | ||||
\(573\) | −0.947795 | + | 1.92786i | −0.0395947 | + | 0.0805376i | ||||
\(574\) | 0.0164934 | − | 0.00290823i | 0.000688421 | − | 0.000121387i | ||||
\(575\) | −2.85434 | + | 25.3899i | −0.119034 | + | 1.05883i | ||||
\(576\) | −36.3122 | + | 11.5467i | −1.51301 | + | 0.481111i | ||||
\(577\) | −44.1170 | + | 11.8211i | −1.83662 | + | 0.492120i | −0.998569 | − | 0.0534774i | \(-0.982969\pi\) |
−0.838047 | + | 0.545597i | \(0.816303\pi\) | |||||||
\(578\) | 27.4332 | + | 58.8308i | 1.14107 | + | 2.44704i | ||||
\(579\) | −15.8790 | + | 26.2399i | −0.659910 | + | 1.09049i | ||||
\(580\) | −21.1349 | + | 29.4047i | −0.877581 | + | 1.22096i | ||||
\(581\) | −0.00666682 | + | 0.00794521i | −0.000276586 | + | 0.000329623i | ||||
\(582\) | 22.1914 | + | 23.1249i | 0.919862 | + | 0.958557i | ||||
\(583\) | −19.8943 | + | 9.27687i | −0.823938 | + | 0.384209i | ||||
\(584\) | −1.33016 | + | 2.30390i | −0.0550424 | + | 0.0953362i | ||||
\(585\) | 4.82059 | − | 20.7688i | 0.199307 | − | 0.858686i | ||||
\(586\) | −24.7911 | − | 42.9394i | −1.02411 | − | 1.77381i | ||||
\(587\) | 22.7446 | + | 15.9259i | 0.938770 | + | 0.657334i | 0.939457 | − | 0.342666i | \(-0.111330\pi\) |
−0.000687603 | 1.00000i | \(0.500219\pi\) | ||||||||
\(588\) | 28.5483 | − | 19.1257i | 1.17731 | − | 0.788732i | ||||
\(589\) | −3.27398 | − | 8.99519i | −0.134902 | − | 0.370640i | ||||
\(590\) | −6.99760 | − | 8.55157i | −0.288087 | − | 0.352063i | ||||
\(591\) | −4.51088 | − | 29.0718i | −0.185553 | − | 1.19585i | ||||
\(592\) | −0.427473 | − | 0.0373990i | −0.0175690 | − | 0.00153709i | ||||
\(593\) | −12.5526 | − | 12.5526i | −0.515474 | − | 0.515474i | 0.400725 | − | 0.916199i | \(-0.368758\pi\) |
−0.916199 | + | 0.400725i | \(0.868758\pi\) | |||||||
\(594\) | 22.4029 | + | 21.2895i | 0.919201 | + | 0.873519i | ||||
\(595\) | −0.00984889 | 0.000739308i | −0.000403765 | 3.03087e-5i | ||||||
\(596\) | −18.4671 | − | 22.0082i | −0.756441 | − | 0.901491i | ||||
\(597\) | 1.96657 | − | 18.1613i | 0.0804862 | − | 0.743291i | ||||
\(598\) | −20.4820 | − | 29.2513i | −0.837570 | − | 1.19617i | ||||
\(599\) | −9.47392 | + | 3.44823i | −0.387094 | + | 0.140891i | −0.528234 | − | 0.849099i | \(-0.677146\pi\) |
0.141140 | + | 0.989990i | \(0.454923\pi\) | |||||||
\(600\) | −8.55647 | + | 13.3823i | −0.349317 | + | 0.546329i | ||||
\(601\) | −0.977209 | − | 5.54203i | −0.0398612 | − | 0.226064i | 0.958369 | − | 0.285533i | \(-0.0921705\pi\) |
−0.998230 | + | 0.0594686i | \(0.981059\pi\) | |||||||
\(602\) | −0.0119631 | − | 0.00320552i | −0.000487581 | − | 0.000130647i | ||||
\(603\) | −5.91619 | − | 4.51676i | −0.240926 | − | 0.183937i | ||||
\(604\) | −45.6522 | − | 26.3573i | −1.85756 | − | 1.07246i | ||||
\(605\) | 7.92636 | + | 2.22906i | 0.322252 | + | 0.0906243i | ||||
\(606\) | 38.3980 | − | 21.1269i | 1.55981 | − | 0.858220i | ||||
\(607\) | 1.06222 | + | 12.1412i | 0.0431140 | + | 0.492796i | 0.986799 | + | 0.161950i | \(0.0517784\pi\) |
−0.943685 | + | 0.330846i | \(0.892666\pi\) | |||||||
\(608\) | −1.11375 | − | 12.7303i | −0.0451686 | − | 0.516280i | ||||
\(609\) | −0.00561514 | + | 0.00308949i | −0.000227537 | + | 0.000125192i | ||||
\(610\) | −28.2313 | + | 15.8381i | −1.14305 | + | 0.641264i | ||||
\(611\) | 1.93736 | + | 1.11853i | 0.0783771 | + | 0.0452511i | ||||
\(612\) | 46.0960 | + | 35.1924i | 1.86332 | + | 1.42257i | ||||
\(613\) | −21.2470 | − | 5.69311i | −0.858157 | − | 0.229942i | −0.197197 | − | 0.980364i | \(-0.563184\pi\) |
−0.660960 | + | 0.750422i | \(0.729851\pi\) | |||||||
\(614\) | −1.92976 | − | 10.9442i | −0.0778789 | − | 0.441673i | ||||
\(615\) | 45.1011 | − | 6.42909i | 1.81865 | − | 0.259246i | ||||
\(616\) | −0.00301917 | + | 0.00109889i | −0.000121646 | + | 4.42754e-5i | ||||
\(617\) | −4.11472 | − | 5.87642i | −0.165652 | − | 0.236576i | 0.727740 | − | 0.685853i | \(-0.240571\pi\) |
−0.893393 | + | 0.449277i | \(0.851682\pi\) | |||||||
\(618\) | 2.81141 | − | 25.9634i | 0.113091 | − | 1.04440i | ||||
\(619\) | 0.611202 | + | 0.728403i | 0.0245663 | + | 0.0292770i | 0.778188 | − | 0.628032i | \(-0.216139\pi\) |
−0.753621 | + | 0.657309i | \(0.771695\pi\) | |||||||
\(620\) | −2.58156 | − | 34.3909i | −0.103678 | − | 1.38117i | ||||
\(621\) | 25.4640 | − | 7.52330i | 1.02184 | − | 0.301900i | ||||
\(622\) | −30.6554 | − | 30.6554i | −1.22917 | − | 1.22917i | ||||
\(623\) | 0.00386323 | 0.000337988i | 0.000154777 | 1.35412e-5i | ||||||
\(624\) | 1.38071 | + | 8.89839i | 0.0552725 | + | 0.356221i | ||||
\(625\) | −3.12097 | − | 24.8044i | −0.124839 | − | 0.992177i | ||||
\(626\) | 20.4041 | + | 56.0599i | 0.815513 | + | 2.24060i | ||||
\(627\) | −6.84723 | + | 4.58726i | −0.273452 | + | 0.183198i | ||||
\(628\) | 0.751081 | + | 0.525913i | 0.0299714 | + | 0.0209862i | ||||
\(629\) | 0.894651 | + | 1.54958i | 0.0356721 | + | 0.0617859i | ||||
\(630\) | −0.00810576 | + | 0.00505180i | −0.000322941 | + | 0.000201269i | ||||
\(631\) | −19.0880 | + | 33.0615i | −0.759883 | + | 1.31616i | 0.183027 | + | 0.983108i | \(0.441411\pi\) |
−0.942910 | + | 0.333048i | \(0.891923\pi\) | |||||||
\(632\) | 8.69315 | − | 4.05368i | 0.345795 | − | 0.161247i | ||||
\(633\) | 0.215686 | + | 0.224759i | 0.00857273 | + | 0.00893335i | ||||
\(634\) | 0.352787 | − | 0.420435i | 0.0140110 | − | 0.0166976i | ||||
\(635\) | −3.77236 | − | 23.0545i | −0.149702 | − | 0.914888i | ||||
\(636\) | −20.6233 | + | 34.0798i | −0.817767 | + | 1.35135i | ||||
\(637\) | −9.40257 | − | 20.1639i | −0.372543 | − | 0.798922i | ||||
\(638\) | −32.8272 | + | 8.79602i | −1.29964 | + | 0.348238i | ||||
\(639\) | 34.4369 | − | 10.9503i | 1.36230 | − | 0.433189i | ||||
\(640\) | 5.56545 | − | 29.4342i | 0.219994 | − | 1.16349i | ||||
\(641\) | −24.5606 | + | 4.33069i | −0.970084 | + | 0.171052i | −0.636168 | − | 0.771551i | \(-0.719481\pi\) |
−0.333916 | + | 0.942603i | \(0.608370\pi\) | |||||||
\(642\) | 22.9901 | − | 46.7631i | 0.907348 | − | 1.84559i | ||||
\(643\) | 18.7461 | − | 40.2010i | 0.739272 | − | 1.58537i | −0.0697279 | − | 0.997566i | \(-0.522213\pi\) |
0.809000 | − | 0.587808i | \(-0.200009\pi\) | |||||||
\(644\) | −0.00162856 | + | 0.00923602i | −6.41742e−5 | + | 0.000363950i | ||||
\(645\) | −32.2371 | − | 9.78653i | −1.26933 | − | 0.385344i | ||||
\(646\) | −20.2081 | + | 16.9566i | −0.795078 | + | 0.667149i | ||||
\(647\) | −4.55768 | + | 4.55768i | −0.179181 | + | 0.179181i | −0.790999 | − | 0.611818i | \(-0.790439\pi\) |
0.611818 | + | 0.790999i | \(0.290439\pi\) | |||||||
\(648\) | 16.2701 | + | 2.78707i | 0.639148 | + | 0.109486i | ||||
\(649\) | − | 6.07983i | − | 0.238654i | ||||||
\(650\) | 26.2037 | + | 23.1133i | 1.02779 | + | 0.906577i | ||||
\(651\) | 0.00220529 | − | 0.00569145i | 8.64323e−5 | − | 0.000223065i | ||||
\(652\) | 12.6930 | − | 8.88773i | 0.497096 | − | 0.348070i | ||||
\(653\) | 6.12762 | + | 2.85735i | 0.239792 | + | 0.111817i | 0.538800 | − | 0.842434i | \(-0.318878\pi\) |
−0.299008 | + | 0.954251i | \(0.596656\pi\) | |||||||
\(654\) | −4.59261 | − | 13.4754i | −0.179585 | − | 0.526928i | ||||
\(655\) | −31.5469 | + | 8.03701i | −1.23264 | + | 0.314032i | ||||
\(656\) | −16.6632 | + | 9.62047i | −0.650587 | + | 0.375616i | ||||
\(657\) | −3.66421 | + | 2.34695i | −0.142955 | + | 0.0915631i | ||||
\(658\) | −0.000259372 | 0 | 0.000967991i | −1.01114e−5 | 0 | 3.77362e-5i | ||||
\(659\) | 29.5176 | + | 10.7435i | 1.14984 | + | 0.418508i | 0.845458 | − | 0.534042i | \(-0.179327\pi\) |
0.304383 | + | 0.952550i | \(0.401550\pi\) | |||||||
\(660\) | −28.2222 | + | 9.23138i | −1.09855 | + | 0.359331i | ||||
\(661\) | −12.6918 | − | 10.6497i | −0.493654 | − | 0.414225i | 0.361680 | − | 0.932302i | \(-0.382203\pi\) |
−0.855334 | + | 0.518078i | \(0.826648\pi\) | |||||||
\(662\) | 10.3530 | − | 0.905769i | 0.402380 | − | 0.0352037i | ||||
\(663\) | 27.0923 | − | 25.9986i | 1.05218 | − | 1.00970i | ||||
\(664\) | −10.0472 | + | 27.6043i | −0.389905 | + | 1.07126i | ||||
\(665\) | −0.000841553 | − | 0.00240406i | −3.26340e−5 | − | 9.32254e-5i | ||||
\(666\) | 1.46162 | + | 0.926147i | 0.0566365 | + | 0.0358875i | ||||
\(667\) | −7.55709 | + | 28.2034i | −0.292612 | + | 1.09204i | ||||
\(668\) | 29.9353 | − | 42.7520i | 1.15823 | − | 1.65412i | ||||
\(669\) | 6.19049 | − | 31.3213i | 0.239338 | − | 1.21095i | ||||
\(670\) | 11.1180 | − | 5.01828i | 0.429524 | − | 0.193873i | ||||
\(671\) | −17.5405 | − | 3.09287i | −0.677144 | − | 0.119399i | ||||
\(672\) | 0.00481014 | − | 0.00657701i | 0.000185555 | − | 0.000253714i | ||||
\(673\) | 0.682431 | − | 7.80022i | 0.0263058 | − | 0.300676i | −0.971633 | − | 0.236496i | \(-0.924001\pi\) |
0.997938 | − | 0.0641806i | \(-0.0204434\pi\) | |||||||
\(674\) | 23.7902 | 0.916366 | ||||||||
\(675\) | −22.4897 | + | 13.0082i | −0.865629 | + | 0.500686i | ||||
\(676\) | 8.21392 | 0.315920 | ||||||||
\(677\) | −2.64043 | + | 30.1802i | −0.101480 | + | 1.15992i | 0.759229 | + | 0.650823i | \(0.225576\pi\) |
−0.860709 | + | 0.509097i | \(0.829979\pi\) | |||||||
\(678\) | 4.23136 | + | 0.458186i | 0.162504 | + | 0.0175965i | ||||
\(679\) | −0.00536718 | 0.000946379i | −0.000205974 | 3.63187e-5i | ||||||
\(680\) | −25.4966 | + | 11.5083i | −0.977751 | + | 0.441325i | ||||
\(681\) | −20.4082 | − | 17.8536i | −0.782045 | − | 0.684150i | ||||
\(682\) | 18.5648 | − | 26.5133i | 0.710885 | − | 1.01525i | ||||
\(683\) | 8.05741 | − | 30.0707i | 0.308308 | − | 1.15062i | −0.621752 | − | 0.783214i | \(-0.713579\pi\) |
0.930060 | − | 0.367408i | \(-0.119755\pi\) | |||||||
\(684\) | −5.68980 | + | 13.8317i | −0.217555 | + | 0.528870i | ||||
\(685\) | −5.40186 | − | 15.4314i | −0.206394 | − | 0.589605i | ||||
\(686\) | −0.00681755 | + | 0.0187311i | −0.000260295 | + | 0.000715155i | ||||
\(687\) | −11.7609 | − | 3.41242i | −0.448705 | − | 0.130192i | ||||
\(688\) | 14.1747 | − | 1.24013i | 0.540405 | − | 0.0472793i | ||||
\(689\) | 19.7569 | + | 16.5780i | 0.752679 | + | 0.631573i | ||||
\(690\) | −8.96322 | + | 42.5805i | −0.341224 | + | 1.62101i | ||||
\(691\) | 6.70424 | + | 2.44014i | 0.255041 | + | 0.0928274i | 0.466377 | − | 0.884586i | \(-0.345559\pi\) |
−0.211336 | + | 0.977414i | \(0.567781\pi\) | |||||||
\(692\) | −2.18447 | − | 8.15256i | −0.0830411 | − | 0.309914i | ||||
\(693\) | −0.00521198 | 0.000673238i | −0.000197987 | 2.55742e-5i | ||||||
\(694\) | 45.8059 | − | 26.4461i | 1.73877 | − | 1.00388i | ||||
\(695\) | −6.61373 | + | 1.68494i | −0.250873 | + | 0.0639135i | ||||
\(696\) | −11.9519 | + | 13.6621i | −0.453035 | + | 0.517860i | ||||
\(697\) | 72.7146 | + | 33.9074i | 2.75426 | + | 1.28433i | ||||
\(698\) | −2.10801 | + | 1.47604i | −0.0797892 | + | 0.0558690i | ||||
\(699\) | 2.48333 | + | 3.08645i | 0.0939283 | + | 0.116740i | ||||
\(700\) | −0.000573927 | − | 0.00915871i | −2.16924e−5 | − | 0.000346167i | ||||
\(701\) | 18.1226i | 0.684482i | 0.939612 | + | 0.342241i | \(0.111186\pi\) | ||||
−0.939612 | + | 0.342241i | \(0.888814\pi\) | |||||||
\(702\) | 11.5460 | − | 34.4269i | 0.435777 | − | 1.29936i | ||||
\(703\) | −0.326292 | + | 0.326292i | −0.0123064 | + | 0.0123064i | ||||
\(704\) | 26.3202 | − | 22.0853i | 0.991981 | − | 0.832371i | ||||
\(705\) | −0.618441 | − | 2.65491i | −0.0232918 | − | 0.0999898i | ||||
\(706\) | −7.73863 | + | 43.8880i | −0.291247 | + | 1.65175i | ||||
\(707\) | −0.00314955 | + | 0.00675423i | −0.000118451 | + | 0.000254019i | ||||
\(708\) | −6.14079 | − | 9.16611i | −0.230785 | − | 0.344484i | ||||
\(709\) | 20.6080 | − | 3.63375i | 0.773951 | − | 0.136469i | 0.227296 | − | 0.973826i | \(-0.427012\pi\) |
0.546656 | + | 0.837357i | \(0.315901\pi\) | |||||||
\(710\) | −11.0024 | + | 58.1886i | −0.412911 | + | 2.18378i | ||||
\(711\) | 15.6757 | + | 0.646105i | 0.587885 | + | 0.0242308i | ||||
\(712\) | 10.6094 | − | 2.84277i | 0.397603 | − | 0.106537i | ||||
\(713\) | −11.7521 | − | 25.2025i | −0.440121 | − | 0.943842i | ||||
\(714\) | −0.0168172 | 0.000346429i | −0.000629367 | 1.29648e-5i | ||||||
\(715\) | 3.10452 | + | 18.9730i | 0.116102 | + | 0.709550i | ||||
\(716\) | 30.1048 | − | 35.8774i | 1.12507 | − | 1.34080i | ||||
\(717\) | −12.9474 | + | 3.18495i | −0.483529 | + | 0.118944i | ||||
\(718\) | 52.2408 | − | 24.3603i | 1.94961 | − | 0.909117i | ||||
\(719\) | −4.36807 | + | 7.56572i | −0.162902 | + | 0.282154i | −0.935908 | − | 0.352244i | \(-0.885419\pi\) |
0.773007 | + | 0.634398i | \(0.218752\pi\) | |||||||
\(720\) | 6.76577 | − | 8.63884i | 0.252145 | − | 0.321950i | ||||
\(721\) | 0.00222038 | + | 0.00384581i | 8.26912e−5 | + | 0.000143225i | ||||
\(722\) | 28.6472 | + | 20.0590i | 1.06614 | + | 0.746518i | ||||
\(723\) | −14.9168 | − | 7.33357i | −0.554763 | − | 0.272738i | ||||
\(724\) | −9.33561 | − | 25.6494i | −0.346955 | − | 0.953252i | ||||
\(725\) | 0.705142 | − | 28.5613i | 0.0261883 | − | 1.06074i | ||||
\(726\) | 13.0757 | + | 5.06650i | 0.485284 | + | 0.188035i | ||||
\(727\) | 44.6377 | + | 3.90529i | 1.65552 | + | 0.144839i | 0.876253 | − | 0.481851i | \(-0.160035\pi\) |
0.779268 | + | 0.626690i | \(0.215591\pi\) | |||||||
\(728\) | 0.00266931 | + | 0.00266931i | 9.89311e−5 | + | 9.89311e-5i | ||||
\(729\) | 21.5403 | + | 16.2793i | 0.797787 | + | 0.602939i | ||||
\(730\) | −0.533792 | − | 7.11105i | −0.0197565 | − | 0.263192i | ||||
\(731\) | −38.1379 | − | 45.4510i | −1.41058 | − | 1.68106i | ||||
\(732\) | −29.5684 | + | 13.0535i | −1.09288 | + | 0.482471i | ||||
\(733\) | 12.9159 | + | 18.4458i | 0.477060 | + | 0.681312i | 0.983489 | − | 0.180970i | \(-0.0579237\pi\) |
−0.506429 | + | 0.862282i | \(0.669035\pi\) | |||||||
\(734\) | −43.3544 | + | 15.7797i | −1.60024 | + | 0.582440i | ||||
\(735\) | −10.1064 | + | 25.1567i | −0.372781 | + | 0.927919i | ||||
\(736\) | −6.44625 | − | 36.5585i | −0.237612 | − | 1.34756i | ||||
\(737\) | 6.48298 | + | 1.73711i | 0.238804 | + | 0.0639873i | ||||
\(738\) | 77.5054 | − | 3.57342i | 2.85301 | − | 0.131540i | ||||
\(739\) | 29.3820 | + | 16.9637i | 1.08084 | + | 0.624020i | 0.931122 | − | 0.364709i | \(-0.118832\pi\) |
0.149714 | + | 0.988729i | \(0.452165\pi\) | |||||||
\(740\) | −1.44992 | + | 0.813418i | −0.0533000 | + | 0.0299018i | ||||
\(741\) | 8.28471 | + | 5.01347i | 0.304347 | + | 0.184174i | ||||
\(742\) | −0.00100695 | − | 0.0115095i | −3.69664e−5 | − | 0.000422528i | ||||
\(743\) | −2.22992 | − | 25.4881i | −0.0818078 | − | 0.935068i | −0.920572 | − | 0.390573i | \(-0.872277\pi\) |
0.838764 | − | 0.544495i | \(-0.183279\pi\) | |||||||
\(744\) | 0.356047 | − | 17.2840i | 0.0130533 | − | 0.633664i | ||||
\(745\) | 21.8202 | + | 6.13631i | 0.799430 | + | 0.224817i | ||||
\(746\) | 3.19968 | + | 1.84733i | 0.117148 | + | 0.0676357i | ||||
\(747\) | −35.3463 | + | 32.5479i | −1.29325 | + | 1.19086i | ||||
\(748\) | −50.5122 | − | 13.5347i | −1.84691 | − | 0.494878i | ||||
\(749\) | 0.00153867 | + | 0.00872624i | 5.62218e−5 | + | 0.000318850i | ||||
\(750\) | −1.26198 | − | 42.5585i | −0.0460809 | − | 1.55402i | ||||
\(751\) | −18.3171 | + | 6.66687i | −0.668400 | + | 0.243278i | −0.653859 | − | 0.756617i | \(-0.726851\pi\) |
−0.0145411 | + | 0.999894i | \(0.504629\pi\) | |||||||
\(752\) | 0.660369 | + | 0.943105i | 0.0240812 | + | 0.0343915i | ||||
\(753\) | −6.63468 | − | 4.85232i | −0.241781 | − | 0.176828i | ||||
\(754\) | 25.6667 | + | 30.5884i | 0.934726 | + | 1.11396i | ||||
\(755\) | 41.4732 | − | 3.11319i | 1.50936 | − | 0.113301i | ||||
\(756\) | −0.00853770 | + | 0.00424924i | −0.000310513 | + | 0.000154543i | ||||
\(757\) | 37.3446 | + | 37.3446i | 1.35731 | + | 1.35731i | 0.877215 | + | 0.480097i | \(0.159399\pi\) |
0.480097 | + | 0.877215i | \(0.340601\pi\) | |||||||
\(758\) | −25.5472 | − | 2.23509i | −0.927917 | − | 0.0811822i | ||||
\(759\) | −18.6540 | + | 15.0088i | −0.677096 | + | 0.544786i | ||||
\(760\) | −4.56862 | − | 5.58318i | −0.165721 | − | 0.202523i | ||||
\(761\) | 13.8978 | + | 38.1838i | 0.503793 | + | 1.38416i | 0.887543 | + | 0.460724i | \(0.152410\pi\) |
−0.383750 | + | 0.923437i | \(0.625368\pi\) | |||||||
\(762\) | −2.65055 | − | 39.6976i | −0.0960194 | − | 1.43809i | ||||
\(763\) | 0.00198304 | + | 0.00138854i | 7.17908e−5 | + | 5.02685e-5i | ||||
\(764\) | −1.75761 | − | 3.04427i | −0.0635881 | − | 0.110138i | ||||
\(765\) | −45.6898 | − | 2.44837i | −1.65192 | − | 0.0885209i | ||||
\(766\) | 11.5732 | − | 20.0453i | 0.418156 | − | 0.724267i | ||||
\(767\) | −6.47410 | + | 3.01892i | −0.233766 | + | 0.109007i | ||||
\(768\) | 1.95584 | − | 6.74076i | 0.0705751 | − | 0.243236i | ||||
\(769\) | −1.03060 | + | 1.22823i | −0.0371646 | + | 0.0442910i | −0.784307 | − | 0.620373i | \(-0.786981\pi\) |
0.747142 | + | 0.664664i | \(0.231425\pi\) | |||||||
\(770\) | 0.00502653 | − | 0.00699332i | 0.000181144 | − | 0.000252022i | ||||
\(771\) | −10.0855 | − | 18.3304i | −0.363221 | − | 0.660153i | ||||
\(772\) | −21.2098 | − | 45.4846i | −0.763358 | − | 1.63703i | ||||
\(773\) | −32.5784 | + | 8.72934i | −1.17176 | + | 0.313973i | −0.791654 | − | 0.610970i | \(-0.790780\pi\) |
−0.380108 | + | 0.924942i | \(0.624113\pi\) | |||||||
\(774\) | −53.0627 | − | 21.8278i | −1.90730 | − | 0.784583i | ||||
\(775\) | 16.9701 | + | 21.2690i | 0.609585 | + | 0.764005i | ||||
\(776\) | −15.2015 | + | 2.68044i | −0.545702 | + | 0.0962220i | ||||
\(777\) | −0.000293582 | 0 | 1.96020e-5i | −1.05322e−5 | 0 | 7.03220e-7i | ||||
\(778\) | −36.4506 | + | 78.1685i | −1.30682 | + | 2.80248i | ||||
\(779\) | −3.59298 | + | 20.3768i | −0.128732 | + | 0.730074i | ||||
\(780\) | 23.8437 | + | 25.4685i | 0.853740 | + | 0.911920i | ||||
\(781\) | −24.9609 | + | 20.9447i | −0.893172 | + | 0.749460i | ||||
\(782\) | −54.1877 | + | 54.1877i | −1.93775 | + | 1.93775i | ||||
\(783\) | −27.6325 | + | 10.8623i | −0.987506 | + | 0.388186i | ||||
\(784\) | − | 11.4502i | − | 0.408937i | ||||||
\(785\) | −0.723345 | − | 0.00892787i | −0.0258173 | − | 0.000318649i | ||||
\(786\) | −54.7877 | + | 8.50106i | −1.95421 | + | 0.303223i | ||||
\(787\) | 1.89659 | − | 1.32801i | 0.0676063 | − | 0.0473384i | −0.539285 | − | 0.842123i | \(-0.681305\pi\) |
0.606891 | + | 0.794785i | \(0.292416\pi\) | |||||||
\(788\) | 43.6296 | + | 20.3448i | 1.55424 | + | 0.724754i | ||||
\(789\) | −14.5522 | − | 2.87616i | −0.518072 | − | 0.102394i | ||||
\(790\) | −13.1294 | + | 22.1062i | −0.467123 | + | 0.786502i | ||||
\(791\) | −0.000626766 | 0 | 0.000361864i | −2.22852e−5 | 0 | 1.28664e-5i | ||||
\(792\) | −14.5238 | + | 3.25705i | −0.516082 | + | 0.115734i | ||||
\(793\) | 5.41626 | + | 20.2138i | 0.192337 | + | 0.717812i | ||||
\(794\) | −21.5293 | − | 7.83603i | −0.764047 | − | 0.278090i | ||||
\(795\) | −1.70655 | − | 31.3812i | −0.0605251 | − | 1.11298i | ||||
\(796\) | 22.8981 | + | 19.2138i | 0.811602 | + | 0.681015i | ||||
\(797\) | 16.5943 | − | 1.45181i | 0.587801 | − | 0.0514259i | 0.210624 | − | 0.977567i | \(-0.432450\pi\) |
0.377177 | + | 0.926141i | \(0.376895\pi\) | |||||||
\(798\) | −0.00103621 | − | 0.00421236i | −3.66813e−5 | − | 0.000149116i | ||||
\(799\) | 1.64198 | − | 4.51129i | 0.0580889 | − | 0.159598i | ||||
\(800\) | 14.5338 | + | 33.2892i | 0.513848 | + | 1.17695i | ||||
\(801\) | 17.5491 | + | 3.84565i | 0.620068 | + | 0.135880i | ||||
\(802\) | 15.2204 | − | 56.8031i | 0.537449 | − | 2.00579i | ||||
\(803\) | 2.25054 | − | 3.21410i | 0.0794197 | − | 0.113423i | ||||
\(804\) | 11.5284 | − | 3.92907i | 0.406577 | − | 0.138568i | ||||
\(805\) | −0.00304407 | − | 0.00674411i | −0.000107289 | − | 0.000237699i | ||||
\(806\) | −37.4510 | − | 6.60363i | −1.31916 | − | 0.232603i | ||||
\(807\) | 12.1300 | + | 27.4765i | 0.426995 | + | 0.967217i | ||||
\(808\) | −1.83965 | + | 21.0273i | −0.0647188 | + | 0.739739i | ||||
\(809\) | −38.2899 | −1.34620 | −0.673100 | − | 0.739551i | \(-0.735038\pi\) | ||||
−0.673100 | + | 0.739551i | \(0.735038\pi\) | |||||||
\(810\) | −40.2403 | + | 18.4000i | −1.41390 | + | 0.646512i | ||||
\(811\) | 48.1974 | 1.69244 | 0.846220 | − | 0.532833i | \(-0.178873\pi\) | ||||
0.846220 | + | 0.532833i | \(0.178873\pi\) | |||||||
\(812\) | 0.000914012 | − | 0.0104472i | 3.20755e−5 | − | 0.000366625i | ||||
\(813\) | −8.29429 | − | 18.7880i | −0.290894 | − | 0.658924i | ||||
\(814\) | −1.53656 | − | 0.270937i | −0.0538564 | − | 0.00949633i | ||||
\(815\) | −4.32272 | + | 11.4354i | −0.151418 | + | 0.400566i | ||||
\(816\) | 18.2916 | − | 6.23404i | 0.640332 | − | 0.218235i | ||||
\(817\) | 8.77644 | − | 12.5341i | 0.307049 | − | 0.438511i | ||||
\(818\) | 19.4385 | − | 72.5455i | 0.679652 | − | 2.53649i | ||||
\(819\) | 0.00187110 | + | 0.00588427i | 6.53814e−5 | + | 0.000205613i | ||||
\(820\) | −32.3359 | + | 67.1676i | −1.12922 | + | 2.34560i | ||||
\(821\) | 5.73809 | − | 15.7653i | 0.200261 | − | 0.550212i | −0.798390 | − | 0.602141i | \(-0.794315\pi\) |
0.998651 | + | 0.0519288i | \(0.0165369\pi\) | |||||||
\(822\) | −6.65131 | − | 27.0388i | −0.231991 | − | 0.943086i | ||||
\(823\) | −34.4725 | + | 3.01595i | −1.20164 | + | 0.105130i | −0.670338 | − | 0.742056i | \(-0.733851\pi\) |
−0.531298 | + | 0.847185i | \(0.678295\pi\) | |||||||
\(824\) | 9.63498 | + | 8.08471i | 0.335651 | + | 0.281644i | ||||
\(825\) | 14.2921 | − | 18.5625i | 0.497588 | − | 0.646262i | ||||
\(826\) | 0.00300703 | + | 0.00109447i | 0.000104628 | + | 3.80815e-5i | ||||
\(827\) | 5.23409 | + | 19.5339i | 0.182007 | + | 0.679261i | 0.995251 | + | 0.0973378i | \(0.0310327\pi\) |
−0.813244 | + | 0.581923i | \(0.802301\pi\) | |||||||
\(828\) | −12.9639 | + | 41.4687i | −0.450526 | + | 1.44114i | ||||
\(829\) | −45.7476 | + | 26.4124i | −1.58888 | + | 0.917340i | −0.595387 | + | 0.803439i | \(0.703001\pi\) |
−0.993492 | + | 0.113900i | \(0.963666\pi\) | |||||||
\(830\) | −19.4399 | − | 76.3055i | −0.674769 | − | 2.64860i | ||||
\(831\) | 33.9923 | + | 6.71839i | 1.17918 | + | 0.233059i | ||||
\(832\) | −36.5867 | − | 17.0607i | −1.26842 | − | 0.591473i | ||||
\(833\) | −39.1110 | + | 27.3858i | −1.35511 | + | 0.948861i | ||||
\(834\) | −11.4861 | + | 1.78223i | −0.397732 | + | 0.0617135i | ||||
\(835\) | −0.508179 | + | 41.1732i | −0.0175863 | + | 1.42486i | ||||
\(836\) | − | 13.4862i | − | 0.466432i | ||||||
\(837\) | 13.5101 | − | 24.8407i | 0.466976 | − | 0.858621i | ||||
\(838\) | −24.8475 | + | 24.8475i | −0.858342 | + | 0.858342i | ||||
\(839\) | 1.94021 | − | 1.62803i | 0.0669835 | − | 0.0562059i | −0.608681 | − | 0.793415i | \(-0.708301\pi\) |
0.675665 | + | 0.737209i | \(0.263857\pi\) | |||||||
\(840\) | 0.000151491 | − | 0.00459752i | 5.22693e−6 | − | 0.000158629i | ||||
\(841\) | 0.633784 | − | 3.59437i | 0.0218546 | − | 0.123944i | ||||
\(842\) | 29.6003 | − | 63.4780i | 1.02009 | − | 2.18760i | ||||
\(843\) | −13.4443 | + | 0.897656i | −0.463046 | + | 0.0309169i | ||||
\(844\) | −0.501982 | + | 0.0885129i | −0.0172789 | + | 0.00304674i | ||||
\(845\) | −5.35396 | + | 3.65125i | −0.184182 | + | 0.125607i | ||||
\(846\) | −0.617209 | − | 4.60140i | −0.0212201 | − | 0.158199i | ||||
\(847\) | −0.00230328 | 0.000617162i | −7.91417e−5 | 2.12059e-5i | ||||||
\(848\) | 5.60957 | + | 12.0298i | 0.192634 | + | 0.413104i | ||||
\(849\) | 12.5469 | + | 22.8040i | 0.430609 | + | 0.782631i | ||||
\(850\) | 39.0832 | − | 63.9928i | 1.34054 | − | 2.19493i | ||||
\(851\) | −0.861655 | + | 1.02688i | −0.0295371 | + | 0.0352010i | ||||
\(852\) | −16.4770 | + | 56.7879i | −0.564494 | + | 1.94552i | ||||
\(853\) | 37.8798 | − | 17.6637i | 1.29698 | − | 0.604792i | 0.353257 | − | 0.935526i | \(-0.385074\pi\) |
0.943724 | + | 0.330734i | \(0.107296\pi\) | |||||||
\(854\) | 0.00468729 | − | 0.00811862i | 0.000160396 | − | 0.000277813i | ||||
\(855\) | −2.43978 | − | 11.5450i | −0.0834387 | − | 0.394830i | ||||
\(856\) | 12.5483 | + | 21.7343i | 0.428893 | + | 0.742864i | ||||
\(857\) | −21.9778 | − | 15.3891i | −0.750749 | − | 0.525680i | 0.134434 | − | 0.990923i | \(-0.457078\pi\) |
−0.885183 | + | 0.465242i | \(0.845967\pi\) | |||||||
\(858\) | 2.18131 | + | 32.6697i | 0.0744687 | + | 1.11532i | ||||
\(859\) | −7.80591 | − | 21.4466i | −0.266334 | − | 0.731747i | −0.998707 | − | 0.0508429i | \(-0.983809\pi\) |
0.732372 | − | 0.680904i | \(-0.238413\pi\) | |||||||
\(860\) | 42.6641 | − | 34.9113i | 1.45483 | − | 1.19047i | ||||
\(861\) | −0.0102793 | + | 0.00827062i | −0.000350316 | + | 0.000281862i | ||||
\(862\) | 13.0034 | + | 1.13765i | 0.442896 | + | 0.0387484i | ||||
\(863\) | 7.93097 | + | 7.93097i | 0.269973 | + | 0.269973i | 0.829089 | − | 0.559116i | \(-0.188859\pi\) |
−0.559116 | + | 0.829089i | \(0.688859\pi\) | |||||||
\(864\) | 26.0037 | − | 27.3635i | 0.884663 | − | 0.930927i | ||||
\(865\) | 5.04784 | + | 4.34292i | 0.171632 | + | 0.147664i | ||||
\(866\) | 15.4685 | + | 18.4346i | 0.525641 | + | 0.626434i | ||||
\(867\) | −41.2753 | − | 30.1869i | −1.40178 | − | 1.02520i | ||||
\(868\) | 0.00572871 | + | 0.00818145i | 0.000194445 | + | 0.000277696i | ||||
\(869\) | −13.2938 | + | 4.83854i | −0.450961 | + | 0.164136i | ||||
\(870\) | 5.83478 | − | 48.3062i | 0.197818 | − | 1.63773i | ||||
\(871\) | −1.36935 | − | 7.76596i | −0.0463986 | − | 0.263139i | ||||
\(872\) | 6.62293 | + | 1.77461i | 0.224281 | + | 0.0600959i | ||||
\(873\) | −24.0980 | − | 7.53350i | −0.815595 | − | 0.254970i | ||||
\(874\) | −17.1153 | − | 9.88153i | −0.578934 | − | 0.334248i | ||||
\(875\) | 0.00444532 | + | 0.00571467i | 0.000150279 | + | 0.000193191i | ||||
\(876\) | 0.146645 | − | 7.11876i | 0.00495466 | − | 0.240521i | ||||
\(877\) | 0.0855499 | + | 0.977840i | 0.00288882 | + | 0.0330193i | 0.997502 | − | 0.0706341i | \(-0.0225023\pi\) |
−0.994613 | + | 0.103653i | \(0.966947\pi\) | |||||||
\(878\) | −5.57448 | − | 63.7167i | −0.188130 | − | 2.15033i | ||||
\(879\) | 33.4170 | + | 20.2222i | 1.12713 | + | 0.682077i | ||||
\(880\) | −2.67861 | + | 9.52492i | −0.0902961 | + | 0.321085i | ||||
\(881\) | 22.3414 | + | 12.8988i | 0.752701 | + | 0.434572i | 0.826669 | − | 0.562689i | \(-0.190233\pi\) |
−0.0739682 | + | 0.997261i | \(0.523566\pi\) | |||||||
\(882\) | −21.2200 | + | 41.0072i | −0.714515 | + | 1.38078i | ||||
\(883\) | 46.3611 | + | 12.4224i | 1.56018 | + | 0.418048i | 0.932719 | − | 0.360604i | \(-0.117429\pi\) |
0.627457 | + | 0.778652i | \(0.284096\pi\) | |||||||
\(884\) | 10.6693 | + | 60.5085i | 0.358847 | + | 2.03512i | ||||
\(885\) | 8.07717 | + | 3.24492i | 0.271511 | + | 0.109077i | ||||
\(886\) | −56.0866 | + | 20.4139i | −1.88427 | + | 0.685817i | ||||
\(887\) | −3.82768 | − | 5.46649i | −0.128521 | − | 0.183547i | 0.749734 | − | 0.661739i | \(-0.230181\pi\) |
−0.878255 | + | 0.478192i | \(0.841292\pi\) | |||||||
\(888\) | −0.762379 | + | 0.336565i | −0.0255837 | + | 0.0112944i | ||||
\(889\) | 0.00434872 | + | 0.00518260i | 0.000145851 | + | 0.000173819i | ||||
\(890\) | −19.2018 | + | 22.3185i | −0.643646 | + | 0.748119i | ||||
\(891\) | −23.5470 | − | 6.18643i | −0.788856 | − | 0.207253i | ||||
\(892\) | 36.9415 | + | 36.9415i | 1.23689 | + | 1.23689i | ||||
\(893\) | 1.23338 | + | 0.107907i | 0.0412735 | + | 0.00361097i | ||||
\(894\) | 35.9956 | + | 13.9474i | 1.20387 | + | 0.466471i | ||||
\(895\) | −3.67452 | + | 36.7676i | −0.122826 | + | 1.22901i | ||||
\(896\) | 0.00296711 | + | 0.00815206i | 9.91241e−5 | + | 0.000272341i | ||||
\(897\) | 25.2447 | + | 12.4111i | 0.842897 | + | 0.414393i | ||||
\(898\) | −6.25679 | − | 4.38105i | −0.208792 | − | 0.146198i | ||||
\(899\) | 15.5475 | + | 26.9291i | 0.518538 | + | 0.898134i | ||||
\(900\) | 2.79861 | − | 42.4206i | 0.0932869 | − | 1.41402i | ||||
\(901\) | 27.6739 | − | 47.9327i | 0.921953 | − | 1.59687i | ||||
\(902\) | −63.4068 | + | 29.5671i | −2.11121 | + | 0.984476i | ||||
\(903\) | 0.00947420 | − | 0.00233057i | 0.000315282 | − | 7.75567e-5i | ||||
\(904\) | −1.31760 | + | 1.57025i | −0.0438226 | + | 0.0522258i | ||||
\(905\) | 17.4867 | + | 12.5688i | 0.581279 | + | 0.417801i | ||||
\(906\) | 70.8162 | + | 1.45879i | 2.35271 | + | 0.0484652i | ||||
\(907\) | 0.500360 | + | 1.07303i | 0.0166142 | + | 0.0356292i | 0.914440 | − | 0.404722i | \(-0.132632\pi\) |
−0.897826 | + | 0.440351i | \(0.854854\pi\) | |||||||
\(908\) | 42.8576 | − | 11.4837i | 1.42228 | − | 0.381099i | ||||
\(909\) | −18.4792 | + | 29.1633i | −0.612917 | + | 0.967286i | ||||
\(910\) | −0.00994274 | − | 0.00187998i | −0.000329599 | − | 6.23208e-5i | ||||
\(911\) | −27.0446 | + | 4.76870i | −0.896028 | + | 0.157994i | −0.602653 | − | 0.798003i | \(-0.705890\pi\) |
−0.293375 | + | 0.955997i | \(0.594779\pi\) | |||||||
\(912\) | 2.77384 | + | 4.14041i | 0.0918511 | + | 0.137103i | ||||
\(913\) | 18.3105 | − | 39.2670i | 0.605990 | − | 1.29955i | ||||
\(914\) | −9.00761 | + | 51.0847i | −0.297945 | + | 1.68973i | ||||
\(915\) | 13.4706 | − | 21.6522i | 0.445325 | − | 0.715800i | ||||
\(916\) | 15.3502 | − | 12.8803i | 0.507185 | − | 0.425578i | ||||
\(917\) | 0.00666650 | − | 0.00666650i | 0.000220147 | − | 0.000220147i | ||||
\(918\) | −77.0614 | − | 11.5724i | −2.54341 | − | 0.381945i | ||||
\(919\) | − | 21.2332i | − | 0.700419i | −0.936671 | − | 0.350209i | \(-0.886110\pi\) | ||
0.936671 | − | 0.350209i | \(-0.113890\pi\) | |||||||
\(920\) | −14.6348 | − | 15.0006i | −0.482496 | − | 0.494556i | ||||
\(921\) | 5.48799 | + | 6.82083i | 0.180835 | + | 0.224754i | ||||
\(922\) | 14.4200 | − | 10.0970i | 0.474899 | − | 0.332528i | ||||
\(923\) | 34.6972 | + | 16.1796i | 1.14207 | + | 0.532557i | ||||
\(924\) | 0.00566203 | − | 0.00647222i | 0.000186267 | − | 0.000212920i | ||||
\(925\) | 0.583498 | − | 1.17471i | 0.0191853 | − | 0.0386244i | ||||
\(926\) | −4.49731 | + | 2.59652i | −0.147791 | + | 0.0853270i | ||||
\(927\) | 7.91918 | + | 18.9874i | 0.260100 | + | 0.623630i | ||||
\(928\) | 10.7437 | + | 40.0962i | 0.352680 | + | 1.31622i | ||||
\(929\) | 28.3403 | + | 10.3150i | 0.929816 | + | 0.338425i | 0.762136 | − | 0.647416i | \(-0.224150\pi\) |
0.167679 | + | 0.985842i | \(0.446373\pi\) | |||||||
\(930\) | 25.3151 | + | 38.8144i | 0.830115 | + | 1.27277i | ||||
\(931\) | −9.43249 | − | 7.91479i | −0.309137 | − | 0.259397i | ||||
\(932\) | −6.45754 | + | 0.564962i | −0.211524 | + | 0.0185059i | ||||
\(933\) | 32.7996 | + | 9.51681i | 1.07381 | + | 0.311566i | ||||
\(934\) | 15.4682 | − | 42.4985i | 0.506135 | − | 1.39059i | ||||
\(935\) | 38.9411 | − | 13.6315i | 1.27351 | − | 0.445799i | ||||
\(936\) | 10.6800 | + | 13.8484i | 0.349088 | + | 0.452650i | ||||
\(937\) | −4.43173 | + | 16.5394i | −0.144778 | + | 0.540320i | 0.854987 | + | 0.518650i | \(0.173565\pi\) |
−0.999765 | + | 0.0216704i | \(0.993102\pi\) | |||||||
\(938\) | −0.00202620 | + | 0.00289372i | −6.61579e−5 | + | 9.44832e-5i | ||||
\(939\) | −35.3716 | − | 30.9438i | −1.15431 | − | 1.00981i | ||||
\(940\) | 4.17244 | + | 1.57723i | 0.136090 | + | 0.0514435i | ||||
\(941\) | −21.0459 | − | 3.71097i | −0.686078 | − | 0.120974i | −0.180266 | − | 0.983618i | \(-0.557696\pi\) |
−0.505812 | + | 0.862644i | \(0.668807\pi\) | |||||||
\(942\) | −1.22485 | − | 0.132632i | −0.0399079 | − | 0.00432137i | ||||
\(943\) | −5.23871 | + | 59.8787i | −0.170596 | + | 1.94992i | ||||
\(944\) | −3.67638 | −0.119656 | ||||||||
\(945\) | 0.00367614 | − | 0.00656489i | 0.000119585 | − | 0.000213556i | ||||
\(946\) | 51.7372 | 1.68212 | ||||||||
\(947\) | 2.48308 | − | 28.3818i | 0.0806894 | − | 0.922284i | −0.842691 | − | 0.538398i | \(-0.819030\pi\) |
0.923380 | − | 0.383886i | \(-0.125415\pi\) | |||||||
\(948\) | −15.1550 | + | 20.7218i | −0.492211 | + | 0.673012i | ||||
\(949\) | −4.54003 | − | 0.800530i | −0.147376 | − | 0.0259863i | ||||
\(950\) | 18.5496 | + | 5.46447i | 0.601829 | + | 0.177291i | ||||
\(951\) | −0.0838316 | + | 0.424153i | −0.00271843 | + | 0.0137541i | ||||
\(952\) | 0.00464666 | − | 0.00663611i | 0.000150599 | − | 0.000215078i | ||||
\(953\) | 13.1177 | − | 48.9558i | 0.424923 | − | 1.58583i | −0.339169 | − | 0.940726i | \(-0.610146\pi\) |
0.764091 | − | 0.645108i | \(-0.223188\pi\) | |||||||
\(954\) | 2.20422 | − | 53.4786i | 0.0713644 | − | 1.73143i | ||||
\(955\) | 2.49888 | + | 1.20301i | 0.0808617 | + | 0.0389285i | ||||
\(956\) | 7.46208 | − | 20.5019i | 0.241341 | − | 0.663078i | ||||
\(957\) | 19.3169 | − | 18.5371i | 0.624426 | − | 0.599220i | ||||
\(958\) | −47.1948 | + | 4.12901i | −1.52479 | + | 0.133402i | ||||
\(959\) | 0.00362713 | + | 0.00304352i | 0.000117126 | + | 9.82804e-5i | ||||
\(960\) | 15.2932 | + | 46.7542i | 0.493585 | + | 1.50899i | ||||
\(961\) | 1.30221 | + | 0.473965i | 0.0420067 | + | 0.0152892i | ||||
\(962\) | 0.474467 | + | 1.77074i | 0.0152974 | + | 0.0570908i | ||||
\(963\) | 1.89061 | + | 41.0062i | 0.0609240 | + | 1.32141i | ||||
\(964\) | 23.5551 | − | 13.5995i | 0.758657 | − | 0.438011i | ||||
\(965\) | 34.0437 | + | 20.2194i | 1.09591 | + | 0.650885i | ||||
\(966\) | −0.00406522 | − | 0.0119279i | −0.000130796 | − | 0.000383775i | ||||
\(967\) | −48.1057 | − | 22.4321i | −1.54697 | − | 0.721366i | −0.553229 | − | 0.833029i | \(-0.686604\pi\) |
−0.993746 | + | 0.111663i | \(0.964382\pi\) | |||||||
\(968\) | −5.53233 | + | 3.87378i | −0.177816 | + | 0.124508i | ||||
\(969\) | 7.50827 | − | 19.3774i | 0.241200 | − | 0.622492i | ||||
\(970\) | 29.6166 | − | 28.8944i | 0.950931 | − | 0.927743i | ||||
\(971\) | 12.4548i | 0.399695i | 0.979827 | + | 0.199847i | \(0.0640447\pi\) | ||||
−0.979827 | + | 0.199847i | \(0.935955\pi\) | |||||||
\(972\) | −41.7486 | + | 14.4563i | −1.33909 | + | 0.463686i | ||||
\(973\) | 0.00139762 | − | 0.00139762i | 4.48056e−5 | − | 4.48056e-5i | ||||
\(974\) | 5.24344 | − | 4.39976i | 0.168011 | − | 0.140978i | ||||
\(975\) | −26.8629 | − | 6.00181i | −0.860302 | − | 0.192212i | ||||
\(976\) | −1.87021 | + | 10.6065i | −0.0598639 | + | 0.339505i | ||||
\(977\) | 7.99244 | − | 17.1398i | 0.255701 | − | 0.548352i | −0.735991 | − | 0.676992i | \(-0.763283\pi\) |
0.991691 | + | 0.128639i | \(0.0410610\pi\) | |||||||
\(978\) | −9.18592 | + | 18.6846i | −0.293733 | + | 0.597469i | ||||
\(979\) | −15.9536 | + | 2.81305i | −0.509879 | + | 0.0899055i | ||||
\(980\) | −24.9946 | − | 36.6506i | −0.798424 | − | 1.17076i | ||||
\(981\) | 8.28706 | + | 7.55658i | 0.264586 | + | 0.241263i | ||||
\(982\) | −17.5085 | + | 4.69139i | −0.558719 | + | 0.149708i | ||||
\(983\) | −5.63921 | − | 12.0933i | −0.179863 | − | 0.385717i | 0.795619 | − | 0.605798i | \(-0.207146\pi\) |
−0.975482 | + | 0.220080i | \(0.929368\pi\) | |||||||
\(984\) | −19.3464 | + | 31.9698i | −0.616742 | + | 1.01916i | ||||
\(985\) | −37.4821 | + | 6.13314i | −1.19428 | + | 0.195418i | ||||
\(986\) | 55.0815 | − | 65.6436i | 1.75415 | − | 2.09052i | ||||
\(987\) | 0.000546612 | 0 | 0.000569606i | 1.73989e−5 | 0 | 1.81308e-5i | ||||
\(988\) | −14.3608 | + | 6.69656i | −0.456878 | + | 0.213046i | ||||
\(989\) | 22.2250 | − | 38.4948i | 0.706713 | − | 1.22406i | ||||
\(990\) | 27.2450 | − | 29.1479i | 0.865902 | − | 0.926380i | ||||
\(991\) | −2.99736 | − | 5.19158i | −0.0952142 | − | 0.164916i | 0.814484 | − | 0.580186i | \(-0.197020\pi\) |
−0.909698 | + | 0.415270i | \(0.863687\pi\) | |||||||
\(992\) | −32.3842 | − | 22.6757i | −1.02820 | − | 0.719953i | ||||
\(993\) | −6.80161 | + | 4.55670i | −0.215843 | + | 0.144603i | ||||
\(994\) | −0.00586569 | − | 0.0161158i | −0.000186048 | − | 0.000511163i | ||||
\(995\) | −23.4662 | − | 2.34519i | −0.743930 | − | 0.0743476i | ||||
\(996\) | −12.0553 | − | 77.6941i | −0.381987 | − | 2.46183i | ||||
\(997\) | −45.5235 | − | 3.98279i | −1.44174 | − | 0.126136i | −0.660718 | − | 0.750634i | \(-0.729748\pi\) |
−0.781026 | + | 0.624498i | \(0.785304\pi\) | |||||||
\(998\) | 41.0167 | + | 41.0167i | 1.29836 | + | 1.29836i | ||||
\(999\) | −1.36051 | − | 0.0841734i | −0.0430445 | − | 0.00266313i |
(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 | 135.2.q.a.32.14 | ✓ | 192 | |
3.2 | odd | 2 | 405.2.r.a.287.3 | 192 | |||
5.2 | odd | 4 | 675.2.ba.b.518.14 | 192 | |||
5.3 | odd | 4 | inner | 135.2.q.a.113.3 | yes | 192 | |
5.4 | even | 2 | 675.2.ba.b.32.3 | 192 | |||
15.8 | even | 4 | 405.2.r.a.368.14 | 192 | |||
27.11 | odd | 18 | inner | 135.2.q.a.92.3 | yes | 192 | |
27.16 | even | 9 | 405.2.r.a.197.14 | 192 | |||
135.38 | even | 36 | inner | 135.2.q.a.38.14 | yes | 192 | |
135.43 | odd | 36 | 405.2.r.a.278.3 | 192 | |||
135.92 | even | 36 | 675.2.ba.b.443.3 | 192 | |||
135.119 | odd | 18 | 675.2.ba.b.632.14 | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
135.2.q.a.32.14 | ✓ | 192 | 1.1 | even | 1 | trivial | |
135.2.q.a.38.14 | yes | 192 | 135.38 | even | 36 | inner | |
135.2.q.a.92.3 | yes | 192 | 27.11 | odd | 18 | inner | |
135.2.q.a.113.3 | yes | 192 | 5.3 | odd | 4 | inner | |
405.2.r.a.197.14 | 192 | 27.16 | even | 9 | |||
405.2.r.a.278.3 | 192 | 135.43 | odd | 36 | |||
405.2.r.a.287.3 | 192 | 3.2 | odd | 2 | |||
405.2.r.a.368.14 | 192 | 15.8 | even | 4 | |||
675.2.ba.b.32.3 | 192 | 5.4 | even | 2 | |||
675.2.ba.b.443.3 | 192 | 135.92 | even | 36 | |||
675.2.ba.b.518.14 | 192 | 5.2 | odd | 4 | |||
675.2.ba.b.632.14 | 192 | 135.119 | odd | 18 |