Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [288,2,Mod(35,288)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(288, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("288.35");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 288 = 2^{5} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 288.w (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.29969157821\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 107.7 | ||
Character | \(\chi\) | \(=\) | 288.107 |
Dual form | 288.2.w.b.35.7 |
$q$-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 \(\left(\mathbb{Z}/288\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{8}\right)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.33776 | − | 0.458699i | 0.945937 | − | 0.324349i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.57919 | − | 1.22726i | 0.789595 | − | 0.613628i | ||||
\(5\) | 2.70076 | + | 1.11869i | 1.20782 | + | 0.500294i | 0.893517 | − | 0.449029i | \(-0.148230\pi\) |
0.314300 | + | 0.949324i | \(0.398230\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.06647 | + | 1.06647i | −0.403090 | + | 0.403090i | −0.879320 | − | 0.476231i | \(-0.842003\pi\) |
0.476231 | + | 0.879320i | \(0.342003\pi\) | |||||||
\(8\) | 1.54963 | − | 2.36614i | 0.547878 | − | 0.836558i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 4.12611 | + | 0.257702i | 1.30479 | + | 0.0814925i | ||||
\(11\) | −5.29504 | − | 2.19328i | −1.59651 | − | 0.661297i | −0.605596 | − | 0.795772i | \(-0.707065\pi\) |
−0.990917 | + | 0.134475i | \(0.957065\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.67540 | + | 4.04478i | 0.464674 | + | 1.12182i | 0.966457 | + | 0.256828i | \(0.0826774\pi\) |
−0.501783 | + | 0.864993i | \(0.667323\pi\) | |||||||
\(14\) | −0.937494 | + | 1.91588i | −0.250556 | + | 0.512039i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.987684 | − | 3.87614i | 0.246921 | − | 0.969036i | ||||
\(17\) | −3.44484 | −0.835498 | −0.417749 | − | 0.908563i | \(-0.637181\pi\) | ||||
−0.417749 | + | 0.908563i | \(0.637181\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.23205 | − | 1.33876i | 0.741483 | − | 0.307132i | 0.0202218 | − | 0.999796i | \(-0.493563\pi\) |
0.721261 | + | 0.692663i | \(0.243563\pi\) | |||||||
\(20\) | 5.63794 | − | 1.54790i | 1.26068 | − | 0.346121i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −8.08953 | − | 0.505243i | −1.72469 | − | 0.107718i | ||||
\(23\) | −0.703083 | + | 0.703083i | −0.146603 | + | 0.146603i | −0.776599 | − | 0.629996i | \(-0.783057\pi\) |
0.629996 | + | 0.776599i | \(0.283057\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.50711 | + | 2.50711i | 0.501422 | + | 0.501422i | ||||
\(26\) | 4.09662 | + | 4.64243i | 0.803414 | + | 0.910456i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.375329 | + | 2.99300i | −0.0709304 | + | 0.565625i | ||||
\(29\) | −3.94721 | − | 9.52941i | −0.732979 | − | 1.76957i | −0.632405 | − | 0.774638i | \(-0.717932\pi\) |
−0.100574 | − | 0.994930i | \(-0.532068\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 4.23846i | − | 0.761250i | −0.924729 | − | 0.380625i | \(-0.875709\pi\) | ||
0.924729 | − | 0.380625i | \(-0.124291\pi\) | |||||||
\(32\) | −0.456702 | − | 5.63839i | −0.0807343 | − | 0.996736i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −4.60837 | + | 1.58015i | −0.790328 | + | 0.270993i | ||||
\(35\) | −4.07335 | + | 1.68724i | −0.688522 | + | 0.285195i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.04600 | + | 4.93947i | −0.336360 | + | 0.812044i | 0.661699 | + | 0.749769i | \(0.269836\pi\) |
−0.998059 | + | 0.0622749i | \(0.980164\pi\) | |||||||
\(38\) | 3.70961 | − | 3.27347i | 0.601778 | − | 0.531027i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 6.83218 | − | 4.65683i | 1.08026 | − | 0.736310i | ||||
\(41\) | 3.53573 | + | 3.53573i | 0.552188 | + | 0.552188i | 0.927072 | − | 0.374884i | \(-0.122317\pi\) |
−0.374884 | + | 0.927072i | \(0.622317\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.38340 | + | 8.16825i | −0.515963 | + | 1.24565i | 0.424400 | + | 0.905475i | \(0.360485\pi\) |
−0.940364 | + | 0.340171i | \(0.889515\pi\) | |||||||
\(44\) | −11.0536 | + | 3.03477i | −1.66639 | + | 0.457508i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.618051 | + | 1.26306i | −0.0911267 | + | 0.186228i | ||||
\(47\) | 4.33671i | 0.632575i | 0.948663 | + | 0.316287i | \(0.102436\pi\) | ||||
−0.948663 | + | 0.316287i | \(0.897564\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.72526i | 0.675038i | ||||||||
\(50\) | 4.50391 | + | 2.20390i | 0.636950 | + | 0.311678i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 7.60977 | + | 4.33133i | 1.05529 | + | 0.600648i | ||||
\(53\) | 0.541366 | − | 1.30697i | 0.0743624 | − | 0.179527i | −0.882327 | − | 0.470636i | \(-0.844024\pi\) |
0.956690 | + | 0.291110i | \(0.0940244\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −11.8470 | − | 11.8470i | −1.59745 | − | 1.59745i | ||||
\(56\) | 0.870790 | + | 4.17608i | 0.116364 | + | 0.558052i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −9.65155 | − | 10.9375i | −1.26731 | − | 1.43616i | ||||
\(59\) | −3.66093 | + | 8.83827i | −0.476613 | + | 1.15064i | 0.484575 | + | 0.874750i | \(0.338974\pi\) |
−0.961188 | + | 0.275895i | \(0.911026\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.97197 | + | 0.816817i | −0.252485 | + | 0.104583i | −0.505336 | − | 0.862922i | \(-0.668632\pi\) |
0.252851 | + | 0.967505i | \(0.418632\pi\) | |||||||
\(62\) | −1.94418 | − | 5.67003i | −0.246911 | − | 0.720095i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −3.19728 | − | 7.33331i | −0.399660 | − | 0.916663i | ||||
\(65\) | 12.7983i | 1.58743i | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.55849 | − | 8.59096i | −0.434739 | − | 1.04955i | −0.977740 | − | 0.209821i | \(-0.932712\pi\) |
0.543001 | − | 0.839732i | \(-0.317288\pi\) | |||||||
\(68\) | −5.44006 | + | 4.22771i | −0.659705 | + | 0.512685i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −4.67522 | + | 4.12556i | −0.558796 | + | 0.493098i | ||||
\(71\) | 1.76501 | + | 1.76501i | 0.209468 | + | 0.209468i | 0.804041 | − | 0.594574i | \(-0.202679\pi\) |
−0.594574 | + | 0.804041i | \(0.702679\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.16342 | + | 1.16342i | −0.136168 | + | 0.136168i | −0.771905 | − | 0.635737i | \(-0.780696\pi\) |
0.635737 | + | 0.771905i | \(0.280696\pi\) | |||||||
\(74\) | −0.471315 | + | 7.54631i | −0.0547893 | + | 0.877241i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.46102 | − | 6.08071i | 0.397006 | − | 0.697505i | ||||
\(77\) | 7.98610 | − | 3.30795i | 0.910100 | − | 0.376976i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 14.4770 | 1.62879 | 0.814393 | − | 0.580314i | \(-0.197070\pi\) | ||||
0.814393 | + | 0.580314i | \(0.197070\pi\) | |||||||
\(80\) | 7.00371 | − | 9.36362i | 0.783039 | − | 1.04689i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 6.35178 | + | 3.10811i | 0.701437 | + | 0.343233i | ||||
\(83\) | −4.27230 | − | 10.3143i | −0.468946 | − | 1.13214i | −0.964624 | − | 0.263630i | \(-0.915080\pi\) |
0.495678 | − | 0.868507i | \(-0.334920\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −9.30371 | − | 3.85372i | −1.00913 | − | 0.417995i | ||||
\(86\) | −0.779399 | + | 12.4791i | −0.0840448 | + | 1.34566i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −13.3950 | + | 9.13005i | −1.42791 | + | 0.973267i | ||||
\(89\) | 7.99481 | − | 7.99481i | 0.847448 | − | 0.847448i | −0.142366 | − | 0.989814i | \(-0.545471\pi\) |
0.989814 | + | 0.142366i | \(0.0454709\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −6.10044 | − | 2.52688i | −0.639500 | − | 0.264889i | ||||
\(92\) | −0.247439 | + | 1.97317i | −0.0257973 | + | 0.205717i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.98925 | + | 5.80147i | 0.205175 | + | 0.598376i | ||||
\(95\) | 10.2267 | 1.04923 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 12.8450 | 1.30421 | 0.652107 | − | 0.758127i | \(-0.273885\pi\) | ||||
0.652107 | + | 0.758127i | \(0.273885\pi\) | |||||||
\(98\) | 2.16747 | + | 6.32126i | 0.218948 | + | 0.638543i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 7.03607 | + | 0.882337i | 0.703607 | + | 0.0882337i | ||||
\(101\) | 0.195046 | + | 0.0807908i | 0.0194078 | + | 0.00803898i | 0.392366 | − | 0.919809i | \(-0.371657\pi\) |
−0.372958 | + | 0.927848i | \(0.621657\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 7.52990 | − | 7.52990i | 0.741943 | − | 0.741943i | −0.231009 | − | 0.972952i | \(-0.574203\pi\) |
0.972952 | + | 0.231009i | \(0.0742026\pi\) | |||||||
\(104\) | 12.1668 | + | 2.30368i | 1.19305 | + | 0.225894i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.124709 | − | 1.99674i | 0.0121128 | − | 0.193940i | ||||
\(107\) | 6.43177 | + | 2.66413i | 0.621783 | + | 0.257551i | 0.671257 | − | 0.741225i | \(-0.265755\pi\) |
−0.0494744 | + | 0.998775i | \(0.515755\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −4.89484 | − | 11.8172i | −0.468840 | − | 1.13188i | −0.964670 | − | 0.263461i | \(-0.915136\pi\) |
0.495830 | − | 0.868420i | \(-0.334864\pi\) | |||||||
\(110\) | −21.2827 | − | 10.4142i | −2.02922 | − | 0.992958i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 3.08047 | + | 5.18715i | 0.291077 | + | 0.490139i | ||||
\(113\) | 0.983568 | 0.0925263 | 0.0462631 | − | 0.998929i | \(-0.485269\pi\) | ||||
0.0462631 | + | 0.998929i | \(0.485269\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −2.68539 | + | 1.11233i | −0.250414 | + | 0.103725i | ||||
\(116\) | −17.9284 | − | 10.2045i | −1.66461 | − | 0.947465i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.843332 | + | 13.5027i | −0.0776350 | + | 1.24303i | ||||
\(119\) | 3.67384 | − | 3.67384i | 0.336780 | − | 0.336780i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 15.4488 | + | 15.4488i | 1.40443 | + | 1.40443i | ||||
\(122\) | −2.26335 | + | 1.99724i | −0.204914 | + | 0.180822i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −5.20168 | − | 6.69334i | −0.467125 | − | 0.601079i | ||||
\(125\) | −1.62704 | − | 3.92802i | −0.145527 | − | 0.351333i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 5.32766i | 0.472754i | 0.971661 | + | 0.236377i | \(0.0759600\pi\) | ||||
−0.971661 | + | 0.236377i | \(0.924040\pi\) | |||||||
\(128\) | −7.64097 | − | 8.34360i | −0.675372 | − | 0.737477i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 5.87055 | + | 17.1210i | 0.514882 | + | 1.50161i | ||||
\(131\) | −17.7023 | + | 7.33252i | −1.54666 | + | 0.640646i | −0.982707 | − | 0.185165i | \(-0.940718\pi\) |
−0.563948 | + | 0.825811i | \(0.690718\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.01915 | + | 4.87465i | −0.175082 | + | 0.422686i | ||||
\(134\) | −8.70107 | − | 9.86034i | −0.751658 | − | 0.851804i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −5.33824 | + | 8.15100i | −0.457750 | + | 0.698943i | ||||
\(137\) | 10.0787 | + | 10.0787i | 0.861079 | + | 0.861079i | 0.991464 | − | 0.130384i | \(-0.0416211\pi\) |
−0.130384 | + | 0.991464i | \(0.541621\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −4.57378 | + | 11.0421i | −0.387943 | + | 0.936578i | 0.602432 | + | 0.798170i | \(0.294198\pi\) |
−0.990375 | + | 0.138408i | \(0.955802\pi\) | |||||||
\(140\) | −4.36192 | + | 7.66352i | −0.368650 | + | 0.647685i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 3.17076 | + | 1.55154i | 0.266084 | + | 0.130203i | ||||
\(143\) | − | 25.0919i | − | 2.09829i | ||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | − | 30.1524i | − | 2.50402i | ||||||
\(146\) | −1.02271 | + | 2.09003i | −0.0846404 | + | 0.172972i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.83098 | + | 10.3113i | 0.232705 | + | 0.847586i | ||||
\(149\) | 2.47497 | − | 5.97511i | 0.202758 | − | 0.489500i | −0.789492 | − | 0.613761i | \(-0.789656\pi\) |
0.992250 | + | 0.124261i | \(0.0396559\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −5.28519 | − | 5.28519i | −0.430103 | − | 0.430103i | 0.458560 | − | 0.888663i | \(-0.348365\pi\) |
−0.888663 | + | 0.458560i | \(0.848365\pi\) | |||||||
\(152\) | 1.84079 | − | 9.72208i | 0.149308 | − | 0.788565i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 9.16611 | − | 8.08845i | 0.738626 | − | 0.651786i | ||||
\(155\) | 4.74153 | − | 11.4471i | 0.380849 | − | 0.919451i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 19.9431 | − | 8.26070i | 1.59163 | − | 0.659276i | 0.601431 | − | 0.798924i | \(-0.294597\pi\) |
0.990201 | + | 0.139649i | \(0.0445973\pi\) | |||||||
\(158\) | 19.3667 | − | 6.64057i | 1.54073 | − | 0.528295i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 5.07418 | − | 15.7389i | 0.401149 | − | 1.24427i | ||||
\(161\) | − | 1.49964i | − | 0.118188i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 4.75817 | + | 11.4872i | 0.372689 | + | 0.899751i | 0.993293 | + | 0.115626i | \(0.0368875\pi\) |
−0.620604 | + | 0.784124i | \(0.713112\pi\) | |||||||
\(164\) | 9.92283 | + | 1.24434i | 0.774843 | + | 0.0971668i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −10.4464 | − | 11.8383i | −0.810801 | − | 0.918828i | ||||
\(167\) | 13.4711 | + | 13.4711i | 1.04243 | + | 1.04243i | 0.999059 | + | 0.0433679i | \(0.0138088\pi\) |
0.0433679 | + | 0.999059i | \(0.486191\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −4.36092 | + | 4.36092i | −0.335455 | + | 0.335455i | ||||
\(170\) | −14.2138 | − | 0.887743i | −1.09015 | − | 0.0680868i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 4.68150 | + | 17.0515i | 0.356961 | + | 1.30017i | ||||
\(173\) | 1.48659 | − | 0.615768i | 0.113024 | − | 0.0468160i | −0.325455 | − | 0.945558i | \(-0.605517\pi\) |
0.438479 | + | 0.898742i | \(0.355517\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −5.34754 | −0.404236 | ||||||||
\(176\) | −13.7313 | + | 18.3581i | −1.03503 | + | 1.38379i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 7.02791 | − | 14.3623i | 0.526764 | − | 1.07650i | ||||
\(179\) | −0.188898 | − | 0.456040i | −0.0141189 | − | 0.0340860i | 0.916663 | − | 0.399661i | \(-0.130872\pi\) |
−0.930782 | + | 0.365575i | \(0.880872\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −20.2286 | − | 8.37896i | −1.50358 | − | 0.622803i | −0.529358 | − | 0.848398i | \(-0.677567\pi\) |
−0.974221 | + | 0.225596i | \(0.927567\pi\) | |||||||
\(182\) | −9.31999 | − | 0.582093i | −0.690843 | − | 0.0431476i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.574076 | + | 2.75312i | 0.0423215 | + | 0.202963i | ||||
\(185\) | −11.0515 | + | 11.0515i | −0.812522 | + | 0.812522i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 18.2406 | + | 7.55549i | 1.33388 | + | 0.552512i | ||||
\(188\) | 5.32226 | + | 6.84850i | 0.388166 | + | 0.499478i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 13.6808 | − | 4.69096i | 0.992509 | − | 0.340318i | ||||
\(191\) | 23.3059 | 1.68636 | 0.843180 | − | 0.537632i | \(-0.180681\pi\) | ||||
0.843180 | + | 0.537632i | \(0.180681\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −27.0699 | −1.94854 | −0.974268 | − | 0.225392i | \(-0.927634\pi\) | ||||
−0.974268 | + | 0.225392i | \(0.927634\pi\) | |||||||
\(194\) | 17.1835 | − | 5.89200i | 1.23371 | − | 0.423021i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 5.79911 | + | 7.46209i | 0.414222 | + | 0.533006i | ||||
\(197\) | −0.234504 | − | 0.0971345i | −0.0167077 | − | 0.00692055i | 0.374314 | − | 0.927302i | \(-0.377878\pi\) |
−0.391022 | + | 0.920381i | \(0.627878\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −2.87064 | + | 2.87064i | −0.203494 | + | 0.203494i | −0.801495 | − | 0.598001i | \(-0.795962\pi\) |
0.598001 | + | 0.801495i | \(0.295962\pi\) | |||||||
\(200\) | 9.81728 | − | 2.04709i | 0.694187 | − | 0.144751i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0.297983 | + | 0.0186110i | 0.0209660 | + | 0.00130946i | ||||
\(203\) | 14.3725 | + | 5.95328i | 1.00875 | + | 0.417838i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 5.59377 | + | 13.5045i | 0.390686 | + | 0.943199i | ||||
\(206\) | 6.61922 | − | 13.5271i | 0.461183 | − | 0.942480i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 17.3329 | − | 2.49914i | 1.20182 | − | 0.173284i | ||||
\(209\) | −20.0501 | −1.38689 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 21.3966 | − | 8.86277i | 1.47300 | − | 0.610138i | 0.505462 | − | 0.862849i | \(-0.331322\pi\) |
0.967542 | + | 0.252710i | \(0.0813219\pi\) | |||||||
\(212\) | −0.749072 | − | 2.72836i | −0.0514465 | − | 0.187384i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 9.82618 | + | 0.613708i | 0.671704 | + | 0.0419522i | ||||
\(215\) | −18.2755 | + | 18.2755i | −1.24638 | + | 1.24638i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 4.52021 | + | 4.52021i | 0.306852 | + | 0.306852i | ||||
\(218\) | −11.9686 | − | 13.5633i | −0.810618 | − | 0.918620i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −33.2481 | − | 4.16937i | −2.24158 | − | 0.281099i | ||||
\(221\) | −5.77151 | − | 13.9337i | −0.388234 | − | 0.937279i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | − | 6.32748i | − | 0.423720i | −0.977300 | − | 0.211860i | \(-0.932048\pi\) | ||
0.977300 | − | 0.211860i | \(-0.0679520\pi\) | |||||||
\(224\) | 6.50026 | + | 5.52614i | 0.434317 | + | 0.369231i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 1.31578 | − | 0.451162i | 0.0875241 | − | 0.0300108i | ||||
\(227\) | 6.62883 | − | 2.74575i | 0.439971 | − | 0.182242i | −0.151691 | − | 0.988428i | \(-0.548472\pi\) |
0.591662 | + | 0.806186i | \(0.298472\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −2.56839 | + | 6.20065i | −0.169724 | + | 0.409751i | −0.985739 | − | 0.168280i | \(-0.946179\pi\) |
0.816015 | + | 0.578031i | \(0.196179\pi\) | |||||||
\(230\) | −3.08218 | + | 2.71981i | −0.203233 | + | 0.179339i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −28.6647 | − | 5.42741i | −1.88193 | − | 0.356327i | ||||
\(233\) | −4.72679 | − | 4.72679i | −0.309662 | − | 0.309662i | 0.535116 | − | 0.844779i | \(-0.320268\pi\) |
−0.844779 | + | 0.535116i | \(0.820268\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −4.85145 | + | 11.7124i | −0.316474 | + | 0.764035i | ||||
\(236\) | 5.06552 | + | 18.4502i | 0.329737 | + | 1.20101i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 3.22952 | − | 6.59989i | 0.209339 | − | 0.427808i | ||||
\(239\) | 5.76879i | 0.373152i | 0.982441 | + | 0.186576i | \(0.0597390\pi\) | ||||
−0.982441 | + | 0.186576i | \(0.940261\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | − | 20.1679i | − | 1.29913i | −0.760308 | − | 0.649563i | \(-0.774952\pi\) | ||
0.760308 | − | 0.649563i | \(-0.225048\pi\) | |||||||
\(242\) | 27.7530 | + | 13.5804i | 1.78403 | + | 0.872979i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −2.11167 | + | 3.71002i | −0.135186 | + | 0.237510i | ||||
\(245\) | −5.28612 | + | 12.7618i | −0.337718 | + | 0.815322i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 10.8300 | + | 10.8300i | 0.689095 | + | 0.689095i | ||||
\(248\) | −10.0288 | − | 6.56806i | −0.636830 | − | 0.417072i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −3.97836 | − | 4.50842i | −0.251614 | − | 0.285137i | ||||
\(251\) | −0.288817 | + | 0.697266i | −0.0182300 | + | 0.0440110i | −0.932732 | − | 0.360569i | \(-0.882582\pi\) |
0.914502 | + | 0.404580i | \(0.132582\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 5.26491 | − | 2.18080i | 0.331002 | − | 0.137105i | ||||
\(254\) | 2.44379 | + | 7.12712i | 0.153337 | + | 0.447195i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −14.0490 | − | 7.65681i | −0.878060 | − | 0.478550i | ||||
\(257\) | − | 6.89560i | − | 0.430136i | −0.976599 | − | 0.215068i | \(-0.931003\pi\) | ||
0.976599 | − | 0.215068i | \(-0.0689973\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −3.08582 | − | 7.44983i | −0.191743 | − | 0.462910i | ||||
\(260\) | 15.7068 | + | 20.2109i | 0.974091 | + | 1.25343i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −20.3179 | + | 17.9292i | −1.25525 | + | 1.10767i | ||||
\(263\) | −3.11571 | − | 3.11571i | −0.192123 | − | 0.192123i | 0.604490 | − | 0.796613i | \(-0.293377\pi\) |
−0.796613 | + | 0.604490i | \(0.793377\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.92420 | − | 2.92420i | 0.179632 | − | 0.179632i | ||||
\(266\) | −0.465130 | + | 7.44728i | −0.0285190 | + | 0.456622i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −16.1628 | − | 9.19958i | −0.987303 | − | 0.561954i | ||||
\(269\) | −12.4085 | + | 5.13977i | −0.756560 | + | 0.313378i | −0.727415 | − | 0.686198i | \(-0.759279\pi\) |
−0.0291452 | + | 0.999575i | \(0.509279\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.94627 | 0.361210 | 0.180605 | − | 0.983556i | \(-0.442194\pi\) | ||||
0.180605 | + | 0.983556i | \(0.442194\pi\) | |||||||
\(272\) | −3.40242 | + | 13.3527i | −0.206302 | + | 0.809627i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 18.1059 | + | 8.85974i | 1.09382 | + | 0.535237i | ||||
\(275\) | −7.77645 | − | 18.7740i | −0.468938 | − | 1.13212i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −8.48544 | − | 3.51479i | −0.509841 | − | 0.211183i | 0.112907 | − | 0.993606i | \(-0.463984\pi\) |
−0.622748 | + | 0.782423i | \(0.713984\pi\) | |||||||
\(278\) | −1.05362 | + | 16.8696i | −0.0631917 | + | 1.01177i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −2.31995 | + | 12.2527i | −0.138643 | + | 0.732241i | ||||
\(281\) | −12.5190 | + | 12.5190i | −0.746823 | + | 0.746823i | −0.973881 | − | 0.227058i | \(-0.927089\pi\) |
0.227058 | + | 0.973881i | \(0.427089\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −16.8466 | − | 6.97810i | −1.00143 | − | 0.414805i | −0.179107 | − | 0.983830i | \(-0.557321\pi\) |
−0.822321 | + | 0.569024i | \(0.807321\pi\) | |||||||
\(284\) | 4.95340 | + | 0.621166i | 0.293930 | + | 0.0368594i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −11.5096 | − | 33.5669i | −0.680579 | − | 1.98485i | ||||
\(287\) | −7.54153 | −0.445162 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −5.13305 | −0.301944 | ||||||||
\(290\) | −13.8309 | − | 40.3366i | −0.812177 | − | 2.36865i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −0.409447 | + | 3.26508i | −0.0239611 | + | 0.191074i | ||||
\(293\) | −1.86190 | − | 0.771224i | −0.108773 | − | 0.0450554i | 0.327633 | − | 0.944805i | \(-0.393749\pi\) |
−0.436406 | + | 0.899750i | \(0.643749\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −19.7746 | + | 19.7746i | −1.15132 | + | 1.15132i | ||||
\(296\) | 8.51696 | + | 12.4955i | 0.495038 | + | 0.726285i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0.570135 | − | 9.12852i | 0.0330270 | − | 0.528801i | ||||
\(299\) | −4.02177 | − | 1.66587i | −0.232585 | − | 0.0963398i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −5.10292 | − | 12.3195i | −0.294127 | − | 0.710086i | ||||
\(302\) | −9.49462 | − | 4.64599i | −0.546354 | − | 0.267347i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −1.99698 | − | 13.8502i | −0.114534 | − | 0.794361i | ||||
\(305\) | −6.23959 | −0.357278 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −3.70099 | + | 1.53300i | −0.211227 | + | 0.0874930i | −0.485788 | − | 0.874077i | \(-0.661467\pi\) |
0.274561 | + | 0.961570i | \(0.411467\pi\) | |||||||
\(308\) | 8.55186 | − | 15.0249i | 0.487288 | − | 0.856121i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 1.09226 | − | 17.4884i | 0.0620362 | − | 0.993272i | ||||
\(311\) | −9.17785 | + | 9.17785i | −0.520428 | + | 0.520428i | −0.917701 | − | 0.397273i | \(-0.869957\pi\) |
0.397273 | + | 0.917701i | \(0.369957\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −8.66154 | − | 8.66154i | −0.489579 | − | 0.489579i | 0.418594 | − | 0.908173i | \(-0.362523\pi\) |
−0.908173 | + | 0.418594i | \(0.862523\pi\) | |||||||
\(314\) | 22.8899 | − | 20.1987i | 1.29175 | − | 1.13988i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 22.8619 | − | 17.7669i | 1.28608 | − | 0.999469i | ||||
\(317\) | 7.41379 | + | 17.8985i | 0.416400 | + | 1.00528i | 0.983382 | + | 0.181548i | \(0.0581108\pi\) |
−0.566982 | + | 0.823730i | \(0.691889\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 59.1159i | 3.30986i | ||||||||
\(320\) | −0.431378 | − | 23.3823i | −0.0241148 | − | 1.30711i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.687884 | − | 2.00616i | −0.0383343 | − | 0.111799i | ||||
\(323\) | −11.1339 | + | 4.61182i | −0.619507 | + | 0.256608i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −5.94030 | + | 14.3411i | −0.329508 | + | 0.795503i | ||||
\(326\) | 11.6345 | + | 13.1846i | 0.644374 | + | 0.730226i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 13.8451 | − | 2.88697i | 0.764469 | − | 0.159406i | ||||
\(329\) | −4.62500 | − | 4.62500i | −0.254984 | − | 0.254984i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −3.96293 | + | 9.56736i | −0.217822 | + | 0.525870i | −0.994585 | − | 0.103923i | \(-0.966860\pi\) |
0.776763 | + | 0.629793i | \(0.216860\pi\) | |||||||
\(332\) | −19.4050 | − | 11.0450i | −1.06499 | − | 0.606171i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 24.2003 | + | 11.8419i | 1.32418 | + | 0.647960i | ||||
\(335\) | − | 27.1830i | − | 1.48517i | ||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 7.50723i | 0.408945i | 0.978872 | + | 0.204472i | \(0.0655479\pi\) | ||||
−0.978872 | + | 0.204472i | \(0.934452\pi\) | |||||||
\(338\) | −3.83350 | + | 7.83420i | −0.208515 | + | 0.426124i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −19.4218 | + | 5.33227i | −1.05330 | + | 0.289183i | ||||
\(341\) | −9.29611 | + | 22.4428i | −0.503413 | + | 1.21535i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −12.5047 | − | 12.5047i | −0.675190 | − | 0.675190i | ||||
\(344\) | 14.0842 | + | 20.6634i | 0.759371 | + | 1.11410i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 1.70625 | − | 1.50565i | 0.0917286 | − | 0.0809441i | ||||
\(347\) | −1.18203 | + | 2.85368i | −0.0634548 | + | 0.153194i | −0.952426 | − | 0.304769i | \(-0.901421\pi\) |
0.888971 | + | 0.457963i | \(0.151421\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.41473 | − | 1.41443i | 0.182786 | − | 0.0757126i | −0.289413 | − | 0.957204i | \(-0.593460\pi\) |
0.472200 | + | 0.881492i | \(0.343460\pi\) | |||||||
\(350\) | −7.15371 | + | 2.45291i | −0.382382 | + | 0.131114i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −9.94829 | + | 30.8571i | −0.530245 | + | 1.64469i | ||||
\(353\) | 6.81226i | 0.362580i | 0.983430 | + | 0.181290i | \(0.0580273\pi\) | ||||
−0.983430 | + | 0.181290i | \(0.941973\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 2.79236 | + | 6.74136i | 0.148203 | + | 0.357794i | ||||
\(356\) | 2.81365 | − | 22.4370i | 0.149123 | − | 1.18916i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −0.461884 | − | 0.523423i | −0.0244114 | − | 0.0276638i | ||||
\(359\) | −5.31414 | − | 5.31414i | −0.280469 | − | 0.280469i | 0.552827 | − | 0.833296i | \(-0.313549\pi\) |
−0.833296 | + | 0.552827i | \(0.813549\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −4.78116 | + | 4.78116i | −0.251640 | + | 0.251640i | ||||
\(362\) | −30.9044 | − | 1.93018i | −1.62430 | − | 0.101448i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −12.7349 | + | 3.49637i | −0.667489 | + | 0.183260i | ||||
\(365\) | −4.44363 | + | 1.84061i | −0.232590 | + | 0.0963420i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 29.3775 | 1.53349 | 0.766745 | − | 0.641951i | \(-0.221875\pi\) | ||||
0.766745 | + | 0.641951i | \(0.221875\pi\) | |||||||
\(368\) | 2.03083 | + | 3.41968i | 0.105864 | + | 0.178263i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −9.71491 | + | 19.8535i | −0.505054 | + | 1.03214i | ||||
\(371\) | 0.816501 | + | 1.97121i | 0.0423906 | + | 0.102340i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 14.6798 | + | 6.08058i | 0.760092 | + | 0.314840i | 0.728852 | − | 0.684671i | \(-0.240054\pi\) |
0.0312402 | + | 0.999512i | \(0.490054\pi\) | |||||||
\(374\) | 27.8672 | + | 1.74048i | 1.44098 | + | 0.0899982i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 10.2613 | + | 6.72031i | 0.529186 | + | 0.346574i | ||||
\(377\) | 31.9312 | − | 31.9312i | 1.64454 | − | 1.64454i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −1.25001 | − | 0.517769i | −0.0642085 | − | 0.0265960i | 0.350348 | − | 0.936620i | \(-0.386063\pi\) |
−0.414557 | + | 0.910024i | \(0.636063\pi\) | |||||||
\(380\) | 16.1498 | − | 12.5507i | 0.828469 | − | 0.643839i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 31.1777 | − | 10.6904i | 1.59519 | − | 0.546969i | ||||
\(383\) | −35.2581 | −1.80160 | −0.900802 | − | 0.434230i | \(-0.857020\pi\) | ||||
−0.900802 | + | 0.434230i | \(0.857020\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 25.2691 | 1.28783 | ||||||||
\(386\) | −36.2130 | + | 12.4170i | −1.84319 | + | 0.632006i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 20.2847 | − | 15.7641i | 1.02980 | − | 0.800303i | ||||
\(389\) | −3.34556 | − | 1.38578i | −0.169627 | − | 0.0702616i | 0.296254 | − | 0.955109i | \(-0.404262\pi\) |
−0.465881 | + | 0.884848i | \(0.654262\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.42201 | − | 2.42201i | 0.122486 | − | 0.122486i | ||||
\(392\) | 11.1807 | + | 7.32242i | 0.564708 | + | 0.369838i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −0.358264 | − | 0.0223759i | −0.0180491 | − | 0.00112728i | ||||
\(395\) | 39.0988 | + | 16.1953i | 1.96728 | + | 0.814872i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.21822 | − | 5.35526i | −0.111329 | − | 0.268773i | 0.858389 | − | 0.513000i | \(-0.171466\pi\) |
−0.969718 | + | 0.244227i | \(0.921466\pi\) | |||||||
\(398\) | −2.52346 | + | 5.15698i | −0.126490 | + | 0.258496i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 12.1941 | − | 7.24168i | 0.609707 | − | 0.362084i | ||||
\(401\) | 5.97617 | 0.298436 | 0.149218 | − | 0.988804i | \(-0.452324\pi\) | ||||
0.149218 | + | 0.988804i | \(0.452324\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 17.1437 | − | 7.10114i | 0.853987 | − | 0.353733i | ||||
\(404\) | 0.407166 | − | 0.111788i | 0.0202573 | − | 0.00556164i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 21.9577 | + | 1.37140i | 1.08974 | + | 0.0680612i | ||||
\(407\) | 21.6672 | − | 21.6672i | 1.07401 | − | 1.07401i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −5.91961 | − | 5.91961i | −0.292706 | − | 0.292706i | 0.545443 | − | 0.838148i | \(-0.316362\pi\) |
−0.838148 | + | 0.545443i | \(0.816362\pi\) | |||||||
\(410\) | 13.6776 | + | 15.5000i | 0.675490 | + | 0.765488i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 2.65003 | − | 21.1323i | 0.130557 | − | 1.04111i | ||||
\(413\) | −5.52150 | − | 13.3301i | −0.271695 | − | 0.655931i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | − | 32.6357i | − | 1.60203i | ||||||
\(416\) | 22.0409 | − | 11.2938i | 1.08064 | − | 0.553726i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −26.8222 | + | 9.19696i | −1.31191 | + | 0.449838i | ||||
\(419\) | 30.7382 | − | 12.7322i | 1.50166 | − | 0.622007i | 0.527841 | − | 0.849343i | \(-0.323002\pi\) |
0.973816 | + | 0.227336i | \(0.0730017\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 7.98264 | − | 19.2718i | 0.389050 | − | 0.939249i | −0.601092 | − | 0.799180i | \(-0.705267\pi\) |
0.990142 | − | 0.140069i | \(-0.0447326\pi\) | |||||||
\(422\) | 24.5582 | − | 21.6709i | 1.19547 | − | 1.05492i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −2.25357 | − | 3.30628i | −0.109443 | − | 0.160567i | ||||
\(425\) | −8.63660 | − | 8.63660i | −0.418937 | − | 0.418937i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.23194 | − | 2.97417i | 0.0596179 | − | 0.143930i | ||||
\(428\) | 13.4266 | − | 3.68627i | 0.648997 | − | 0.178183i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −16.0652 | + | 32.8312i | −0.774735 | + | 1.58326i | ||||
\(431\) | 29.2128i | 1.40713i | 0.710630 | + | 0.703565i | \(0.248410\pi\) | ||||
−0.710630 | + | 0.703565i | \(0.751590\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 17.9410i | 0.862190i | 0.902306 | + | 0.431095i | \(0.141873\pi\) | ||||
−0.902306 | + | 0.431095i | \(0.858127\pi\) | |||||||
\(434\) | 8.12037 | + | 3.97353i | 0.389790 | + | 0.190736i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −22.2326 | − | 12.6544i | −1.06475 | − | 0.606034i | ||||
\(437\) | −1.33114 | + | 3.21366i | −0.0636771 | + | 0.153730i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −8.96708 | − | 8.96708i | −0.427975 | − | 0.427975i | 0.459963 | − | 0.887938i | \(-0.347863\pi\) |
−0.887938 | + | 0.459963i | \(0.847863\pi\) | |||||||
\(440\) | −46.3903 | + | 9.67325i | −2.21157 | + | 0.461154i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −14.1122 | − | 15.9925i | −0.671251 | − | 0.760684i | ||||
\(443\) | −6.09257 | + | 14.7088i | −0.289467 | + | 0.698835i | −0.999988 | − | 0.00484090i | \(-0.998459\pi\) |
0.710522 | + | 0.703675i | \(0.248459\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 30.5358 | − | 12.6484i | 1.44754 | − | 0.599589i | ||||
\(446\) | −2.90241 | − | 8.46464i | −0.137433 | − | 0.400812i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 11.2306 | + | 4.41097i | 0.530596 | + | 0.208399i | ||||
\(449\) | 3.66413i | 0.172921i | 0.996255 | + | 0.0864604i | \(0.0275556\pi\) | ||||
−0.996255 | + | 0.0864604i | \(0.972444\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −10.9670 | − | 26.4766i | −0.516415 | − | 1.24674i | ||||
\(452\) | 1.55324 | − | 1.20709i | 0.0730583 | − | 0.0567767i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 7.60829 | − | 6.71379i | 0.357075 | − | 0.315094i | ||||
\(455\) | −13.6490 | − | 13.6490i | −0.639876 | − | 0.639876i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −13.9728 | + | 13.9728i | −0.653622 | + | 0.653622i | −0.953863 | − | 0.300241i | \(-0.902933\pi\) |
0.300241 | + | 0.953863i | \(0.402933\pi\) | |||||||
\(458\) | −0.591655 | + | 9.47309i | −0.0276462 | + | 0.442648i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −2.87564 | + | 5.05224i | −0.134077 | + | 0.235562i | ||||
\(461\) | −2.25638 | + | 0.934623i | −0.105090 | + | 0.0435297i | −0.434609 | − | 0.900619i | \(-0.643113\pi\) |
0.329519 | + | 0.944149i | \(0.393113\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 16.4302 | 0.763575 | 0.381788 | − | 0.924250i | \(-0.375309\pi\) | ||||
0.381788 | + | 0.924250i | \(0.375309\pi\) | |||||||
\(464\) | −40.8360 | + | 5.88791i | −1.89576 | + | 0.273339i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −8.49148 | − | 4.15513i | −0.393360 | − | 0.192482i | ||||
\(467\) | 8.14599 | + | 19.6662i | 0.376951 | + | 0.910041i | 0.992534 | + | 0.121969i | \(0.0389208\pi\) |
−0.615582 | + | 0.788072i | \(0.711079\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 12.9571 | + | 5.36700i | 0.598303 | + | 0.247825i | ||||
\(470\) | −1.11758 | + | 17.8938i | −0.0515501 | + | 0.825377i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 15.2395 | + | 22.3584i | 0.701456 | + | 1.02913i | ||||
\(473\) | 35.8304 | − | 35.8304i | 1.64748 | − | 1.64748i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 11.4595 | + | 4.74669i | 0.525799 | + | 0.217793i | ||||
\(476\) | 1.29295 | − | 10.3104i | 0.0592622 | − | 0.472578i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 2.64614 | + | 7.71724i | 0.121032 | + | 0.352978i | ||||
\(479\) | −4.35772 | −0.199109 | −0.0995545 | − | 0.995032i | \(-0.531742\pi\) | ||||
−0.0995545 | + | 0.995032i | \(0.531742\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −23.4070 | −1.06727 | ||||||||
\(482\) | −9.25098 | − | 26.9797i | −0.421370 | − | 1.22889i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 43.3562 | + | 5.43695i | 1.97073 | + | 0.247134i | ||||
\(485\) | 34.6914 | + | 14.3696i | 1.57525 | + | 0.652491i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 10.1865 | − | 10.1865i | 0.461594 | − | 0.461594i | −0.437584 | − | 0.899178i | \(-0.644166\pi\) |
0.899178 | + | 0.437584i | \(0.144166\pi\) | |||||||
\(488\) | −1.12312 | + | 5.93174i | −0.0508414 | + | 0.268517i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −1.21771 | + | 19.4969i | −0.0550105 | + | 0.880782i | ||||
\(491\) | −28.0848 | − | 11.6331i | −1.26745 | − | 0.524994i | −0.355260 | − | 0.934768i | \(-0.615608\pi\) |
−0.912187 | + | 0.409774i | \(0.865608\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 13.5975 | + | 32.8273i | 0.612402 | + | 1.47847i | ||||
\(494\) | 19.4556 | + | 9.52019i | 0.875349 | + | 0.428333i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −16.4289 | − | 4.18626i | −0.737679 | − | 0.187969i | ||||
\(497\) | −3.76467 | −0.168869 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −20.5327 | + | 8.50493i | −0.919170 | + | 0.380733i | −0.791560 | − | 0.611092i | \(-0.790731\pi\) |
−0.127610 | + | 0.991824i | \(0.540731\pi\) | |||||||
\(500\) | −7.39009 | − | 4.20630i | −0.330495 | − | 0.188111i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −0.0665318 | + | 1.06525i | −0.00296946 | + | 0.0475446i | ||||
\(503\) | −6.66355 | + | 6.66355i | −0.297113 | + | 0.297113i | −0.839882 | − | 0.542769i | \(-0.817376\pi\) |
0.542769 | + | 0.839882i | \(0.317376\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0.436393 | + | 0.436393i | 0.0194192 | + | 0.0194192i | ||||
\(506\) | 6.04284 | − | 5.33238i | 0.268637 | − | 0.237053i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 6.53841 | + | 8.41339i | 0.290095 | + | 0.373284i | ||||
\(509\) | −4.13590 | − | 9.98494i | −0.183320 | − | 0.442575i | 0.805327 | − | 0.592831i | \(-0.201990\pi\) |
−0.988647 | + | 0.150257i | \(0.951990\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | − | 2.48152i | − | 0.109776i | ||||||
\(512\) | −22.3063 | − | 3.79870i | −0.985807 | − | 0.167881i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −3.16301 | − | 9.22464i | −0.139514 | − | 0.406882i | ||||
\(515\) | 28.7601 | − | 11.9128i | 1.26732 | − | 0.524942i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 9.51161 | − | 22.9631i | 0.418320 | − | 1.00991i | ||||
\(518\) | −7.54531 | − | 8.55060i | −0.331522 | − | 0.375692i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 30.2825 | + | 19.8326i | 1.32798 | + | 0.869717i | ||||
\(521\) | 2.91587 | + | 2.91587i | 0.127746 | + | 0.127746i | 0.768089 | − | 0.640343i | \(-0.221208\pi\) |
−0.640343 | + | 0.768089i | \(0.721208\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 14.2159 | − | 34.3201i | 0.621616 | − | 1.50071i | −0.228189 | − | 0.973617i | \(-0.573280\pi\) |
0.849805 | − | 0.527097i | \(-0.176720\pi\) | |||||||
\(524\) | −18.9564 | + | 33.3047i | −0.828113 | + | 1.45492i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −5.59724 | − | 2.73889i | −0.244051 | − | 0.119421i | ||||
\(527\) | 14.6008i | 0.636023i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 22.0113i | 0.957015i | ||||||||
\(530\) | 2.57055 | − | 5.25320i | 0.111657 | − | 0.228185i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 2.79383 | + | 10.1760i | 0.121128 | + | 0.441186i | ||||
\(533\) | −8.37748 | + | 20.2250i | −0.362869 | + | 0.876043i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 14.3903 | + | 14.3903i | 0.622149 | + | 0.622149i | ||||
\(536\) | −25.8418 | − | 4.89292i | −1.11620 | − | 0.211342i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −14.2420 | + | 12.5675i | −0.614015 | + | 0.541825i | ||||
\(539\) | 10.3638 | − | 25.0204i | 0.446401 | − | 1.07771i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −29.5435 | + | 12.2373i | −1.27017 | + | 0.526123i | −0.913017 | − | 0.407921i | \(-0.866254\pi\) |
−0.357157 | + | 0.934044i | \(0.616254\pi\) | |||||||
\(542\) | 7.95467 | − | 2.72755i | 0.341682 | − | 0.117158i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 1.57327 | + | 19.4234i | 0.0674533 | + | 0.832770i | ||||
\(545\) | − | 37.3912i | − | 1.60166i | ||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −11.8740 | − | 28.6664i | −0.507696 | − | 1.22569i | −0.945206 | − | 0.326474i | \(-0.894140\pi\) |
0.437510 | − | 0.899213i | \(-0.355860\pi\) | |||||||
\(548\) | 28.2853 | + | 3.54703i | 1.20829 | + | 0.151521i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −19.0146 | − | 21.5480i | −0.810787 | − | 0.918811i | ||||
\(551\) | −25.5152 | − | 25.5152i | −1.08698 | − | 1.08698i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −15.4393 | + | 15.4393i | −0.656546 | + | 0.656546i | ||||
\(554\) | −12.9637 | − | 0.809665i | −0.550775 | − | 0.0343994i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 6.32860 | + | 23.0508i | 0.268392 | + | 0.977570i | ||||
\(557\) | 16.2393 | − | 6.72656i | 0.688083 | − | 0.285013i | −0.0111181 | − | 0.999938i | \(-0.503539\pi\) |
0.699201 | + | 0.714925i | \(0.253539\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −38.7074 | −1.63715 | ||||||||
\(560\) | 2.51679 | + | 17.4553i | 0.106354 | + | 0.737623i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −11.0050 | + | 22.4899i | −0.464216 | + | 0.948679i | ||||
\(563\) | 15.7698 | + | 38.0718i | 0.664620 | + | 1.60453i | 0.790481 | + | 0.612486i | \(0.209830\pi\) |
−0.125862 | + | 0.992048i | \(0.540170\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 2.65638 | + | 1.10031i | 0.111755 | + | 0.0462904i | ||||
\(566\) | −25.7375 | − | 1.60747i | −1.08183 | − | 0.0675672i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 6.91137 | − | 1.44115i | 0.289995 | − | 0.0604693i | ||||
\(569\) | −11.0276 | + | 11.0276i | −0.462302 | + | 0.462302i | −0.899409 | − | 0.437107i | \(-0.856003\pi\) |
0.437107 | + | 0.899409i | \(0.356003\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −31.3409 | − | 12.9818i | −1.31157 | − | 0.543272i | −0.386231 | − | 0.922402i | \(-0.626223\pi\) |
−0.925343 | + | 0.379130i | \(0.876223\pi\) | |||||||
\(572\) | −30.7942 | − | 39.6249i | −1.28757 | − | 1.65680i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −10.0887 | + | 3.45929i | −0.421096 | + | 0.144388i | ||||
\(575\) | −3.52541 | −0.147020 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −2.28631 | −0.0951802 | −0.0475901 | − | 0.998867i | \(-0.515154\pi\) | ||||
−0.0475901 | + | 0.998867i | \(0.515154\pi\) | |||||||
\(578\) | −6.86677 | + | 2.35452i | −0.285620 | + | 0.0979353i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −37.0047 | − | 47.6164i | −1.53654 | − | 1.97716i | ||||
\(581\) | 15.5562 | + | 6.44359i | 0.645380 | + | 0.267325i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −5.73311 | + | 5.73311i | −0.237441 | + | 0.237441i | ||||
\(584\) | 0.949947 | + | 4.55569i | 0.0393091 | + | 0.188516i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −2.84453 | − | 0.177659i | −0.117506 | − | 0.00733903i | ||||
\(587\) | 5.89005 | + | 2.43974i | 0.243108 | + | 0.100699i | 0.500911 | − | 0.865499i | \(-0.332998\pi\) |
−0.257803 | + | 0.966198i | \(0.582998\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −5.67428 | − | 13.6989i | −0.233805 | − | 0.564454i | ||||
\(590\) | −17.3830 | + | 35.5242i | −0.715648 | + | 1.46251i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 17.1253 | + | 12.8092i | 0.703845 | + | 0.526455i | ||||
\(593\) | 10.9801 | 0.450897 | 0.225449 | − | 0.974255i | \(-0.427615\pi\) | ||||
0.225449 | + | 0.974255i | \(0.427615\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 14.0321 | − | 5.81227i | 0.575259 | − | 0.238280i | ||||
\(596\) | −3.42454 | − | 12.4733i | −0.140275 | − | 0.510925i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −6.14429 | − | 0.383750i | −0.251259 | − | 0.0156927i | ||||
\(599\) | −3.54515 | + | 3.54515i | −0.144851 | + | 0.144851i | −0.775813 | − | 0.630962i | \(-0.782660\pi\) |
0.630962 | + | 0.775813i | \(0.282660\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 0.844578 | + | 0.844578i | 0.0344511 | + | 0.0344511i | 0.724122 | − | 0.689671i | \(-0.242245\pi\) |
−0.689671 | + | 0.724122i | \(0.742245\pi\) | |||||||
\(602\) | −12.4774 | − | 14.1398i | −0.508542 | − | 0.576297i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −14.8326 | − | 1.86004i | −0.603531 | − | 0.0756839i | ||||
\(605\) | 24.4410 | + | 59.0059i | 0.993669 | + | 2.39893i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 17.9859i | − | 0.730024i | −0.931003 | − | 0.365012i | \(-0.881065\pi\) | ||
0.931003 | − | 0.365012i | \(-0.118935\pi\) | |||||||
\(608\) | −9.02453 | − | 17.6121i | −0.365993 | − | 0.714266i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −8.34706 | + | 2.86210i | −0.337963 | + | 0.115883i | ||||
\(611\) | −17.5411 | + | 7.26575i | −0.709636 | + | 0.293941i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −6.72419 | + | 16.2336i | −0.271588 | + | 0.655671i | −0.999552 | − | 0.0299448i | \(-0.990467\pi\) |
0.727964 | + | 0.685615i | \(0.240467\pi\) | |||||||
\(614\) | −4.24784 | + | 3.74843i | −0.171429 | + | 0.151274i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 4.54842 | − | 24.0224i | 0.183261 | − | 0.967888i | ||||
\(617\) | 8.70935 | + | 8.70935i | 0.350625 | + | 0.350625i | 0.860342 | − | 0.509717i | \(-0.170250\pi\) |
−0.509717 | + | 0.860342i | \(0.670250\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −3.38639 | + | 8.17546i | −0.136110 | + | 0.328600i | −0.977208 | − | 0.212284i | \(-0.931910\pi\) |
0.841098 | + | 0.540883i | \(0.181910\pi\) | |||||||
\(620\) | −6.56071 | − | 23.8962i | −0.263485 | − | 0.959694i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −8.06786 | + | 16.4876i | −0.323492 | + | 0.661093i | ||||
\(623\) | 17.0525i | 0.683195i | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | − | 30.1567i | − | 1.20627i | ||||||
\(626\) | −15.5601 | − | 7.61400i | −0.621906 | − | 0.304317i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 21.3559 | − | 37.5205i | 0.852195 | − | 1.49723i | ||||
\(629\) | 7.04814 | − | 17.0157i | 0.281028 | − | 0.678461i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 2.69060 | + | 2.69060i | 0.107111 | + | 0.107111i | 0.758631 | − | 0.651520i | \(-0.225868\pi\) |
−0.651520 | + | 0.758631i | \(0.725868\pi\) | |||||||
\(632\) | 22.4340 | − | 34.2546i | 0.892375 | − | 1.36257i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 18.1279 | + | 20.5431i | 0.719949 | + | 0.815871i | ||||
\(635\) | −5.96002 | + | 14.3888i | −0.236516 | + | 0.571000i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −19.1127 | + | 7.91673i | −0.757272 | + | 0.313672i | ||||
\(638\) | 27.1164 | + | 79.0827i | 1.07355 | + | 3.13092i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −11.3025 | − | 31.0820i | −0.446771 | − | 1.22862i | ||||
\(641\) | − | 37.2166i | − | 1.46997i | −0.678084 | − | 0.734984i | \(-0.737189\pi\) | ||
0.678084 | − | 0.734984i | \(-0.262811\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −11.0037 | − | 26.5652i | −0.433942 | − | 1.04763i | −0.978005 | − | 0.208583i | \(-0.933115\pi\) |
0.544063 | − | 0.839044i | \(-0.316885\pi\) | |||||||
\(644\) | −1.84044 | − | 2.36822i | −0.0725237 | − | 0.0933209i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −12.7790 | + | 11.2766i | −0.502784 | + | 0.443672i | ||||
\(647\) | 30.0988 | + | 30.0988i | 1.18331 | + | 1.18331i | 0.978882 | + | 0.204426i | \(0.0655327\pi\) |
0.204426 | + | 0.978882i | \(0.434467\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 38.7695 | − | 38.7695i | 1.52184 | − | 1.52184i | ||||
\(650\) | −1.36841 | + | 21.9098i | −0.0536733 | + | 0.859372i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 21.6119 | + | 12.3011i | 0.846386 | + | 0.481746i | ||||
\(653\) | −4.00245 | + | 1.65787i | −0.156628 | + | 0.0648775i | −0.459620 | − | 0.888116i | \(-0.652014\pi\) |
0.302992 | + | 0.952993i | \(0.402014\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −56.0125 | −2.18859 | ||||||||
\(656\) | 17.1972 | − | 10.2128i | 0.671436 | − | 0.398743i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −8.30861 | − | 4.06564i | −0.323903 | − | 0.158495i | ||||
\(659\) | −2.32569 | − | 5.61472i | −0.0905962 | − | 0.218719i | 0.872086 | − | 0.489352i | \(-0.162767\pi\) |
−0.962682 | + | 0.270634i | \(0.912767\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 37.0965 | + | 15.3659i | 1.44288 | + | 0.597662i | 0.960496 | − | 0.278295i | \(-0.0897692\pi\) |
0.482389 | + | 0.875957i | \(0.339769\pi\) | |||||||
\(662\) | −0.912900 | + | 14.6166i | −0.0354809 | + | 0.568090i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −31.0255 | − | 5.87441i | −1.20402 | − | 0.227971i | ||||
\(665\) | −10.9065 | + | 10.9065i | −0.422935 | + | 0.422935i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 9.47519 | + | 3.92475i | 0.366881 | + | 0.151967i | ||||
\(668\) | 37.8060 | + | 4.74095i | 1.46276 | + | 0.183433i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −12.4688 | − | 36.3643i | −0.481712 | − | 1.40487i | ||||
\(671\) | 12.2332 | 0.472256 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −13.6208 | −0.525043 | −0.262521 | − | 0.964926i | \(-0.584554\pi\) | ||||
−0.262521 | + | 0.964926i | \(0.584554\pi\) | |||||||
\(674\) | 3.44356 | + | 10.0429i | 0.132641 | + | 0.386836i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −1.53475 | + | 12.2387i | −0.0590290 | + | 0.470718i | ||||
\(677\) | −11.5314 | − | 4.77647i | −0.443189 | − | 0.183575i | 0.149918 | − | 0.988698i | \(-0.452099\pi\) |
−0.593107 | + | 0.805124i | \(0.702099\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −13.6989 | + | 13.6989i | −0.525715 | + | 0.525715i | ||||
\(680\) | −23.5358 | + | 16.0421i | −0.902556 | + | 0.615185i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −2.14145 | + | 34.2872i | −0.0820004 | + | 1.31292i | ||||
\(683\) | −37.0003 | − | 15.3260i | −1.41578 | − | 0.586435i | −0.461982 | − | 0.886889i | \(-0.652862\pi\) |
−0.953796 | + | 0.300454i | \(0.902862\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 15.9452 | + | 38.4950i | 0.609233 | + | 1.47082i | ||||
\(686\) | −22.4641 | − | 10.9924i | −0.857685 | − | 0.419690i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 28.3196 | + | 21.1822i | 1.07967 | + | 0.807563i | ||||
\(689\) | 6.19344 | 0.235951 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 6.40367 | − | 2.65249i | 0.243607 | − | 0.100905i | −0.257539 | − | 0.966268i | \(-0.582912\pi\) |
0.501147 | + | 0.865362i | \(0.332912\pi\) | |||||||
\(692\) | 1.59191 | − | 2.79685i | 0.0605154 | − | 0.106320i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −0.272293 | + | 4.35973i | −0.0103361 | + | 0.165493i | ||||
\(695\) | −24.7054 | + | 24.7054i | −0.937129 | + | 0.937129i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −12.1800 | − | 12.1800i | −0.461352 | − | 0.461352i | ||||
\(698\) | 3.91929 | − | 3.45850i | 0.148347 | − | 0.130906i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −8.44478 | + | 6.56280i | −0.319183 | + | 0.248051i | ||||
\(701\) | −7.95095 | − | 19.1953i | −0.300303 | − | 0.724996i | −0.999945 | − | 0.0105021i | \(-0.996657\pi\) |
0.699642 | − | 0.714494i | \(-0.253343\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 18.7037i | 0.705424i | ||||||||
\(704\) | 0.845748 | + | 45.8426i | 0.0318753 | + | 1.72776i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 3.12478 | + | 9.11315i | 0.117603 | + | 0.342978i | ||||
\(707\) | −0.294173 | + | 0.121850i | −0.0110635 | + | 0.00458266i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 0.602133 | − | 1.45368i | 0.0226136 | − | 0.0545940i | −0.912169 | − | 0.409813i | \(-0.865594\pi\) |
0.934783 | + | 0.355219i | \(0.115594\pi\) | |||||||
\(710\) | 6.82776 | + | 7.73745i | 0.256241 | + | 0.290381i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −6.52786 | − | 31.3059i | −0.244642 | − | 1.17324i | ||||
\(713\) | 2.97999 | + | 2.97999i | 0.111602 | + | 0.111602i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 28.0701 | − | 67.7673i | 1.04976 | − | 2.53435i | ||||
\(716\) | −0.857983 | − | 0.488347i | −0.0320643 | − | 0.0182504i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −9.54662 | − | 4.67144i | −0.356277 | − | 0.174337i | ||||
\(719\) | − | 36.1660i | − | 1.34877i | −0.738382 | − | 0.674383i | \(-0.764410\pi\) | ||
0.738382 | − | 0.674383i | \(-0.235590\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 16.0609i | 0.598139i | ||||||||
\(722\) | −4.20292 | + | 8.58915i | −0.156416 | + | 0.319655i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −42.2279 | + | 11.5937i | −1.56939 | + | 0.430876i | ||||
\(725\) | 13.9952 | − | 33.7874i | 0.519768 | − | 1.25483i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −3.48345 | − | 3.48345i | −0.129194 | − | 0.129194i | 0.639553 | − | 0.768747i | \(-0.279119\pi\) |
−0.768747 | + | 0.639553i | \(0.779119\pi\) | |||||||
\(728\) | −15.4324 | + | 10.5188i | −0.571963 | + | 0.389852i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −5.10021 | + | 4.50058i | −0.188767 | + | 0.166574i | ||||
\(731\) | 11.6553 | − | 28.1383i | 0.431086 | − | 1.04073i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −9.32567 | + | 3.86282i | −0.344452 | + | 0.142677i | −0.548201 | − | 0.836347i | \(-0.684687\pi\) |
0.203750 | + | 0.979023i | \(0.434687\pi\) | |||||||
\(734\) | 39.2999 | − | 13.4754i | 1.45059 | − | 0.497387i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 4.28536 | + | 3.64316i | 0.157960 | + | 0.134289i | ||||
\(737\) | 53.2942i | 1.96312i | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 18.2859 | + | 44.1460i | 0.672657 | + | 1.62394i | 0.777078 | + | 0.629404i | \(0.216701\pi\) |
−0.104421 | + | 0.994533i | \(0.533299\pi\) | |||||||
\(740\) | −3.88940 | + | 31.0154i | −0.142977 | + | 1.14015i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 1.99647 | + | 2.26247i | 0.0732928 | + | 0.0830579i | ||||
\(743\) | −26.3660 | − | 26.3660i | −0.967273 | − | 0.967273i | 0.0322079 | − | 0.999481i | \(-0.489746\pi\) |
−0.999481 | + | 0.0322079i | \(0.989746\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 13.3686 | − | 13.3686i | 0.489789 | − | 0.489789i | ||||
\(746\) | 22.4272 | + | 1.40072i | 0.821118 | + | 0.0512841i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 38.0779 | − | 10.4543i | 1.39226 | − | 0.382247i | ||||
\(749\) | −9.70055 | + | 4.01810i | −0.354450 | + | 0.146818i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 31.9193 | 1.16475 | 0.582377 | − | 0.812919i | \(-0.302123\pi\) | ||||
0.582377 | + | 0.812919i | \(0.302123\pi\) | |||||||
\(752\) | 16.8097 | + | 4.28330i | 0.612988 | + | 0.156196i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 28.0694 | − | 57.3631i | 1.02223 | − | 2.08904i | ||||
\(755\) | −8.36155 | − | 20.1866i | −0.304308 | − | 0.734664i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 25.8156 | + | 10.6932i | 0.938284 | + | 0.388650i | 0.798815 | − | 0.601577i | \(-0.205461\pi\) |
0.139469 | + | 0.990226i | \(0.455461\pi\) | |||||||
\(758\) | −1.90970 | − | 0.119273i | −0.0693636 | − | 0.00433220i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 15.8476 | − | 24.1977i | 0.574851 | − | 0.877745i | ||||
\(761\) | −14.4436 | + | 14.4436i | −0.523579 | + | 0.523579i | −0.918650 | − | 0.395072i | \(-0.870720\pi\) |
0.395072 | + | 0.918650i | \(0.370720\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 17.8229 | + | 7.38250i | 0.645234 | + | 0.267265i | ||||
\(764\) | 36.8045 | − | 28.6024i | 1.33154 | − | 1.03480i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −47.1668 | + | 16.1729i | −1.70420 | + | 0.584349i | ||||
\(767\) | −41.8824 | −1.51229 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 21.6737 | 0.781574 | 0.390787 | − | 0.920481i | \(-0.372203\pi\) | ||||
0.390787 | + | 0.920481i | \(0.372203\pi\) | |||||||
\(770\) | 33.8040 | − | 11.5909i | 1.21821 | − | 0.417708i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −42.7486 | + | 33.2217i | −1.53855 | + | 1.19568i | ||||
\(773\) | 5.45257 | + | 2.25853i | 0.196115 | + | 0.0812336i | 0.478580 | − | 0.878044i | \(-0.341152\pi\) |
−0.282464 | + | 0.959278i | \(0.591152\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 10.6263 | − | 10.6263i | 0.381708 | − | 0.381708i | ||||
\(776\) | 19.9051 | − | 30.3932i | 0.714550 | − | 1.09105i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −5.11120 | − | 0.319227i | −0.183245 | − | 0.0114448i | ||||
\(779\) | 16.1611 | + | 6.69416i | 0.579033 | + | 0.239843i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −5.47463 | − | 13.2169i | −0.195898 | − | 0.472939i | ||||
\(782\) | 2.12909 | − | 4.35104i | 0.0761361 | − | 0.155593i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 18.3158 | + | 4.66707i | 0.654135 | + | 0.166681i | ||||
\(785\) | 63.1027 | 2.25223 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −38.9288 | + | 16.1249i | −1.38766 | + | 0.574789i | −0.946519 | − | 0.322647i | \(-0.895427\pi\) |
−0.441144 | + | 0.897436i | \(0.645427\pi\) | |||||||
\(788\) | −0.489535 | + | 0.134402i | −0.0174389 | + | 0.00478787i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 59.7335 | + | 3.73074i | 2.12522 | + | 0.132734i | ||||
\(791\) | −1.04895 | + | 1.04895i | −0.0372964 | + | 0.0372964i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −6.60770 | − | 6.60770i | −0.234646 | − | 0.234646i | ||||
\(794\) | −5.42390 | − | 6.14654i | −0.192487 | − | 0.218133i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −1.01028 | + | 8.05630i | −0.0358083 | + | 0.285548i | ||||
\(797\) | 13.4105 | + | 32.3759i | 0.475025 | + | 1.14681i | 0.961915 | + | 0.273349i | \(0.0881312\pi\) |
−0.486890 | + | 0.873463i | \(0.661869\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 14.9393i | − | 0.528515i | ||||||
\(800\) | 12.9911 | − | 15.2811i | 0.459303 | − | 0.540267i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 7.99467 | − | 2.74126i | 0.282301 | − | 0.0967974i | ||||
\(803\) | 8.71205 | − | 3.60865i | 0.307442 | − | 0.127346i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 1.67764 | − | 4.05017i | 0.0591289 | − | 0.142750i | ||||
\(806\) | 19.6768 | − | 17.3634i | 0.693085 | − | 0.611599i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0.493412 | − | 0.336311i | 0.0173582 | − | 0.0118314i | ||||
\(809\) | −23.3959 | − | 23.3959i | −0.822557 | − | 0.822557i | 0.163917 | − | 0.986474i | \(-0.447587\pi\) |
−0.986474 | + | 0.163917i | \(0.947587\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −14.5916 | + | 35.2272i | −0.512380 | + | 1.23699i | 0.430115 | + | 0.902774i | \(0.358473\pi\) |
−0.942495 | + | 0.334221i | \(0.891527\pi\) | |||||||
\(812\) | 30.0031 | − | 8.23736i | 1.05290 | − | 0.289075i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 19.0468 | − | 38.9243i | 0.667589 | − | 1.36429i | ||||
\(815\) | 36.3473i | 1.27319i | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 30.9297i | 1.08209i | ||||||||
\(818\) | −10.6343 | − | 5.20368i | −0.371820 | − | 0.181942i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 25.4072 | + | 14.4613i | 0.887257 | + | 0.505009i | ||||
\(821\) | 6.11371 | − | 14.7598i | 0.213370 | − | 0.515120i | −0.780567 | − | 0.625072i | \(-0.785070\pi\) |
0.993937 | + | 0.109952i | \(0.0350696\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 17.5536 | + | 17.5536i | 0.611879 | + | 0.611879i | 0.943435 | − | 0.331557i | \(-0.107574\pi\) |
−0.331557 | + | 0.943435i | \(0.607574\pi\) | |||||||
\(824\) | −6.14825 | − | 29.4854i | −0.214185 | − | 1.02717i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −13.5009 | − | 15.2997i | −0.469757 | − | 0.532345i | ||||
\(827\) | −4.15220 | + | 10.0243i | −0.144386 | + | 0.348579i | −0.979484 | − | 0.201522i | \(-0.935411\pi\) |
0.835098 | + | 0.550102i | \(0.185411\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 3.68500 | − | 1.52638i | 0.127985 | − | 0.0530132i | −0.317772 | − | 0.948167i | \(-0.602935\pi\) |
0.445757 | + | 0.895154i | \(0.352935\pi\) | |||||||
\(830\) | −14.9700 | − | 43.6587i | −0.519616 | − | 1.51542i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 24.3049 | − | 25.2186i | 0.842621 | − | 0.874297i | ||||
\(833\) | − | 16.2778i | − | 0.563992i | ||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 21.3123 | + | 51.4524i | 0.737541 | + | 1.78058i | ||||
\(836\) | −31.6629 | + | 24.6066i | −1.09508 | + | 0.851037i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 35.2800 | − | 31.1321i | 1.21873 | − | 1.07544i | ||||
\(839\) | 4.96619 | + | 4.96619i | 0.171452 | + | 0.171452i | 0.787617 | − | 0.616165i | \(-0.211315\pi\) |
−0.616165 | + | 0.787617i | \(0.711315\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −54.7231 | + | 54.7231i | −1.88700 | + | 1.88700i | ||||
\(842\) | 1.83888 | − | 29.4426i | 0.0633719 | − | 1.01466i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 22.9124 | − | 40.2551i | 0.788679 | − | 1.38564i | ||||
\(845\) | −16.6563 | + | 6.89927i | −0.572995 | + | 0.237342i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −32.9514 | −1.13223 | ||||||||
\(848\) | −4.53132 | − | 3.38929i | −0.155606 | − | 0.116389i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −15.5153 | − | 7.59208i | −0.532170 | − | 0.260406i | ||||
\(851\) | −2.03435 | − | 4.91137i | −0.0697368 | − | 0.168359i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −7.27599 | − | 3.01381i | −0.249125 | − | 0.103191i | 0.254627 | − | 0.967039i | \(-0.418047\pi\) |
−0.503752 | + | 0.863848i | \(0.668047\pi\) | |||||||
\(854\) | 0.283790 | − | 4.54381i | 0.00971110 | − | 0.155486i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 16.2706 | − | 11.0901i | 0.556117 | − | 0.379051i | ||||
\(857\) | −36.1746 | + | 36.1746i | −1.23570 | + | 1.23570i | −0.273961 | + | 0.961741i | \(0.588334\pi\) |
−0.961741 | + | 0.273961i | \(0.911666\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −28.2133 | − | 11.6863i | −0.962627 | − | 0.398733i | −0.154664 | − | 0.987967i | \(-0.549430\pi\) |
−0.807962 | + | 0.589234i | \(0.799430\pi\) | |||||||
\(860\) | −6.43177 | + | 51.2892i | −0.219322 | + | 1.74895i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 13.3999 | + | 39.0796i | 0.456402 | + | 1.33106i | ||||
\(863\) | 6.56021 | 0.223312 | 0.111656 | − | 0.993747i | \(-0.464384\pi\) | ||||
0.111656 | + | 0.993747i | \(0.464384\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 4.70379 | 0.159934 | ||||||||
\(866\) | 8.22953 | + | 24.0007i | 0.279651 | + | 0.815578i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 12.6857 | + | 1.59082i | 0.430582 | + | 0.0539958i | ||||
\(869\) | −76.6560 | − | 31.7520i | −2.60038 | − | 1.07711i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 28.7867 | − | 28.7867i | 0.975399 | − | 0.975399i | ||||
\(872\) | −35.5463 | − | 6.73039i | −1.20375 | − | 0.227920i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −0.306642 | + | 4.90969i | −0.0103723 | + | 0.166073i | ||||
\(875\) | 5.92433 | + | 2.45394i | 0.200279 | + | 0.0829582i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −9.62481 | − | 23.2364i | −0.325007 | − | 0.784636i | −0.998948 | − | 0.0458511i | \(-0.985400\pi\) |
0.673941 | − | 0.738785i | \(-0.264600\pi\) | |||||||
\(878\) | −16.1090 | − | 7.88259i | −0.543651 | − | 0.266024i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −57.6219 | + | 34.2197i | −1.94243 | + | 1.15354i | ||||
\(881\) | −36.6081 | −1.23336 | −0.616679 | − | 0.787215i | \(-0.711522\pi\) | ||||
−0.616679 | + | 0.787215i | \(0.711522\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 1.40699 | − | 0.582794i | 0.0473489 | − | 0.0196126i | −0.358883 | − | 0.933382i | \(-0.616842\pi\) |
0.406232 | + | 0.913770i | \(0.366842\pi\) | |||||||
\(884\) | −26.2145 | − | 14.9208i | −0.881688 | − | 0.501840i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −1.40348 | + | 22.4714i | −0.0471510 | + | 0.754942i | ||||
\(887\) | 32.4795 | − | 32.4795i | 1.09056 | − | 1.09056i | 0.0950860 | − | 0.995469i | \(-0.469687\pi\) |
0.995469 | − | 0.0950860i | \(-0.0303126\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −5.68182 | − | 5.68182i | −0.190562 | − | 0.190562i | ||||
\(890\) | 35.0477 | − | 30.9272i | 1.17480 | − | 1.03668i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −7.76545 | − | 9.99230i | −0.260006 | − | 0.334567i | ||||
\(893\) | 5.80581 | + | 14.0165i | 0.194284 | + | 0.469044i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | − | 1.44297i | − | 0.0482333i | ||||||
\(896\) | 17.0471 | + | 0.749338i | 0.569505 | + | 0.0250336i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 1.68073 | + | 4.90171i | 0.0560867 | + | 0.163572i | ||||
\(899\) | −40.3901 | + | 16.7301i | −1.34708 | + | 0.557980i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −1.86492 | + | 4.50232i | −0.0621296 | + | 0.149994i | ||||
\(902\) | −26.8160 | − | 30.3888i | −0.892874 | − | 1.01184i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 1.52417 | − | 2.32726i | 0.0506931 | − | 0.0774036i | ||||
\(905\) | −45.2591 | − | 45.2591i | −1.50446 | − | 1.50446i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 10.6402 | − | 25.6878i | 0.353303 | − | 0.852950i | −0.642905 | − | 0.765946i | \(-0.722271\pi\) |
0.996208 | − | 0.0870037i | \(-0.0277292\pi\) | |||||||
\(908\) | 7.09844 | − | 12.4713i | 0.235570 | − | 0.413876i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −24.5199 | − | 11.9983i | −0.812826 | − | 0.397739i | ||||
\(911\) | − | 9.64671i | − | 0.319610i | −0.987149 | − | 0.159805i | \(-0.948914\pi\) | ||
0.987149 | − | 0.159805i | \(-0.0510865\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 63.9847i | 2.11758i | ||||||||
\(914\) | −12.2830 | + | 25.1016i | −0.406284 | + | 0.830288i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 3.55381 | + | 12.9441i | 0.117421 | + | 0.427685i | ||||
\(917\) | 11.0591 | − | 26.6990i | 0.365203 | − | 0.881678i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 36.1191 | + | 36.1191i | 1.19146 | + | 1.19146i | 0.976657 | + | 0.214803i | \(0.0689110\pi\) |
0.214803 | + | 0.976657i | \(0.431089\pi\) | |||||||
\(920\) | −1.52945 | + | 8.07773i | −0.0504244 | + | 0.266315i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −2.58978 | + | 2.28530i | −0.0852898 | + | 0.0752623i | ||||
\(923\) | −4.18197 | + | 10.0962i | −0.137651 | + | 0.332320i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −17.5133 | + | 7.25426i | −0.575835 | + | 0.238519i | ||||
\(926\) | 21.9796 | − | 7.53651i | 0.722295 | − | 0.247665i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −51.9278 | + | 26.6080i | −1.70461 | + | 0.873451i | ||||
\(929\) | − | 16.6303i | − | 0.545622i | −0.962068 | − | 0.272811i | \(-0.912047\pi\) | ||
0.962068 | − | 0.272811i | \(-0.0879534\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 6.32599 | + | 15.2723i | 0.207326 | + | 0.500529i | ||||
\(932\) | −13.2655 | − | 1.66352i | −0.434526 | − | 0.0544903i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 19.9182 | + | 22.5720i | 0.651744 | + | 0.738578i | ||||
\(935\) | 40.8112 | + | 40.8112i | 1.33467 | + | 1.33467i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 39.4807 | − | 39.4807i | 1.28978 | − | 1.28978i | 0.354860 | − | 0.934920i | \(-0.384529\pi\) |
0.934920 | − | 0.354860i | \(-0.115471\pi\) | |||||||
\(938\) | 19.7953 | + | 1.23634i | 0.646339 | + | 0.0403680i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 6.71280 | + | 24.4501i | 0.218947 | + | 0.797475i | ||||
\(941\) | 38.4855 | − | 15.9412i | 1.25459 | − | 0.519669i | 0.346347 | − | 0.938107i | \(-0.387422\pi\) |
0.908246 | + | 0.418437i | \(0.137422\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −4.97182 | −0.161905 | ||||||||
\(944\) | 30.6426 | + | 22.9197i | 0.997330 | + | 0.745973i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 31.4970 | − | 64.3678i | 1.02406 | − | 2.09278i | ||||
\(947\) | −1.88812 | − | 4.55832i | −0.0613556 | − | 0.148125i | 0.890228 | − | 0.455515i | \(-0.150545\pi\) |
−0.951584 | + | 0.307389i | \(0.900545\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −6.65498 | − | 2.75658i | −0.216030 | − | 0.0894825i | ||||
\(950\) | 17.5074 | + | 1.09345i | 0.568014 | + | 0.0354761i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −2.99974 | − | 14.3859i | −0.0972220 | − | 0.466251i | ||||
\(953\) | −3.89115 | + | 3.89115i | −0.126047 | + | 0.126047i | −0.767316 | − | 0.641269i | \(-0.778408\pi\) |
0.641269 | + | 0.767316i | \(0.278408\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 62.9438 | + | 26.0722i | 2.03681 | + | 0.843676i | ||||
\(956\) | 7.07978 | + | 9.11001i | 0.228976 | + | 0.294639i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −5.82957 | + | 1.99888i | −0.188345 | + | 0.0645809i | ||||
\(959\) | −21.4973 | −0.694184 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 13.0354 | 0.420498 | ||||||||
\(962\) | −31.3129 | + | 10.7368i | −1.00957 | + | 0.346167i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −24.7511 | − | 31.8489i | −0.797180 | − | 1.02578i | ||||
\(965\) | −73.1094 | − | 30.2829i | −2.35348 | − | 0.974842i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 11.3033 | − | 11.3033i | 0.363488 | − | 0.363488i | −0.501607 | − | 0.865095i | \(-0.667258\pi\) |
0.865095 | + | 0.501607i | \(0.167258\pi\) | |||||||
\(968\) | 60.4939 | − | 12.6141i | 1.94435 | − | 0.405433i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 53.0000 | + | 3.31019i | 1.70173 | + | 0.106284i | ||||
\(971\) | 19.3675 | + | 8.02226i | 0.621531 | + | 0.257447i | 0.671150 | − | 0.741322i | \(-0.265801\pi\) |
−0.0496188 | + | 0.998768i | \(0.515801\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −6.89828 | − | 16.6539i | −0.221149 | − | 0.533900i | ||||
\(974\) | 8.95451 | − | 18.2996i | 0.286921 | − | 0.586356i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 1.21842 | + | 8.45040i | 0.0390006 | + | 0.270491i | ||||
\(977\) | 2.98023 | 0.0953461 | 0.0476730 | − | 0.998863i | \(-0.484819\pi\) | ||||
0.0476730 | + | 0.998863i | \(0.484819\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −59.8676 | + | 24.7980i | −1.91338 | + | 0.792547i | ||||
\(980\) | 7.31423 | + | 26.6407i | 0.233645 | + | 0.851007i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −42.9067 | − | 2.67980i | −1.36921 | − | 0.0855157i | ||||
\(983\) | 35.5614 | − | 35.5614i | 1.13423 | − | 1.13423i | 0.144767 | − | 0.989466i | \(-0.453757\pi\) |
0.989466 | − | 0.144767i | \(-0.0462432\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −0.524675 | − | 0.524675i | −0.0167175 | − | 0.0167175i | ||||
\(986\) | 33.2481 | + | 37.6779i | 1.05883 | + | 1.19991i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 30.3938 | + | 3.81144i | 0.966955 | + | 0.121258i | ||||
\(989\) | −3.36415 | − | 8.12177i | −0.106974 | − | 0.258257i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | − | 7.45023i | − | 0.236664i | −0.992974 | − | 0.118332i | \(-0.962245\pi\) | ||
0.992974 | − | 0.118332i | \(-0.0377548\pi\) | |||||||
\(992\) | −23.8981 | + | 1.93571i | −0.758765 | + | 0.0614590i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −5.03622 | + | 1.72685i | −0.159739 | + | 0.0547724i | ||||
\(995\) | −10.9643 | + | 4.54156i | −0.347591 | + | 0.143977i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 0.482816 | − | 1.16562i | 0.0152909 | − | 0.0369156i | −0.916050 | − | 0.401065i | \(-0.868640\pi\) |
0.931341 | + | 0.364149i | \(0.118640\pi\) | |||||||
\(998\) | −23.5666 | + | 20.7959i | −0.745987 | + | 0.658282i | ||||
\(999\) | 0 | 0 |
(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 | 288.2.w.b.107.7 | yes | 32 | |
3.2 | odd | 2 | 288.2.w.a.107.2 | yes | 32 | ||
4.3 | odd | 2 | 1152.2.w.a.719.7 | 32 | |||
12.11 | even | 2 | 1152.2.w.b.719.2 | 32 | |||
32.3 | odd | 8 | 288.2.w.a.35.2 | ✓ | 32 | ||
32.29 | even | 8 | 1152.2.w.b.431.2 | 32 | |||
96.29 | odd | 8 | 1152.2.w.a.431.7 | 32 | |||
96.35 | even | 8 | inner | 288.2.w.b.35.7 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
288.2.w.a.35.2 | ✓ | 32 | 32.3 | odd | 8 | ||
288.2.w.a.107.2 | yes | 32 | 3.2 | odd | 2 | ||
288.2.w.b.35.7 | yes | 32 | 96.35 | even | 8 | inner | |
288.2.w.b.107.7 | yes | 32 | 1.1 | even | 1 | trivial | |
1152.2.w.a.431.7 | 32 | 96.29 | odd | 8 | |||
1152.2.w.a.719.7 | 32 | 4.3 | odd | 2 | |||
1152.2.w.b.431.2 | 32 | 32.29 | even | 8 | |||
1152.2.w.b.719.2 | 32 | 12.11 | even | 2 |