Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [567,2,Mod(143,567)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(567, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([7, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("567.143");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 567 = 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 567.ba (of order \(18\), degree \(6\), not 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: | \(4.52751779461\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 189) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 143.11 | ||
Character | \(\chi\) | \(=\) | 567.143 |
Dual form | 567.2.ba.a.341.11 |
$q$-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 \(\left(\mathbb{Z}/567\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{7}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.00959490 | + | 0.0114348i | −0.00678462 | + | 0.00808559i | −0.769426 | − | 0.638736i | \(-0.779458\pi\) |
0.762641 | + | 0.646821i | \(0.223902\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.347258 | + | 1.96940i | 0.173629 | + | 0.984698i | ||||
\(5\) | −1.26073 | + | 1.05788i | −0.563815 | + | 0.473097i | −0.879587 | − | 0.475738i | \(-0.842181\pi\) |
0.315772 | + | 0.948835i | \(0.397737\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.81613 | + | 1.92397i | 0.686434 | + | 0.727192i | ||||
\(8\) | −0.0517058 | − | 0.0298524i | −0.0182808 | − | 0.0105544i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | − | 0.0245663i | − | 0.00776856i | ||||||
\(11\) | −2.95219 | + | 3.51829i | −0.890120 | + | 1.06080i | 0.107659 | + | 0.994188i | \(0.465665\pi\) |
−0.997779 | + | 0.0666155i | \(0.978780\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.52751 | − | 4.19679i | 0.423654 | − | 1.16398i | −0.525946 | − | 0.850518i | \(-0.676289\pi\) |
0.949600 | − | 0.313463i | \(-0.101489\pi\) | |||||||
\(14\) | −0.0394257 | + | 0.00230675i | −0.0105370 | + | 0.000616504i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.75751 | + | 1.36762i | −0.939379 | + | 0.341906i | ||||
\(17\) | −3.77410 | −0.915355 | −0.457677 | − | 0.889118i | \(-0.651318\pi\) | ||||
−0.457677 | + | 0.889118i | \(0.651318\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.46832i | 0.336856i | 0.985714 | + | 0.168428i | \(0.0538690\pi\) | ||||
−0.985714 | + | 0.168428i | \(0.946131\pi\) | |||||||
\(20\) | −2.52118 | − | 2.11552i | −0.563752 | − | 0.473044i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.0119048 | − | 0.0675152i | −0.00253810 | − | 0.0143943i | ||||
\(23\) | 2.54129 | − | 6.98214i | 0.529896 | − | 1.45588i | −0.329297 | − | 0.944226i | \(-0.606812\pi\) |
0.859193 | − | 0.511651i | \(-0.170966\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.397908 | + | 2.25665i | −0.0795815 | + | 0.451329i | ||||
\(26\) | 0.0333330 | + | 0.0577345i | 0.00653714 | + | 0.0113227i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −3.15839 | + | 4.24480i | −0.596880 | + | 0.802192i | ||||
\(29\) | 2.83246 | + | 7.78213i | 0.525975 | + | 1.44511i | 0.863771 | + | 0.503885i | \(0.168097\pi\) |
−0.337795 | + | 0.941220i | \(0.609681\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −8.27481 | + | 1.45907i | −1.48620 | + | 0.262057i | −0.857052 | − | 0.515229i | \(-0.827707\pi\) |
−0.629147 | + | 0.777286i | \(0.716596\pi\) | |||||||
\(32\) | 0.0612550 | − | 0.168297i | 0.0108284 | − | 0.0297509i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.0362121 | − | 0.0431559i | 0.00621033 | − | 0.00740118i | ||||
\(35\) | −4.32497 | − | 0.504358i | −0.731054 | − | 0.0852520i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.397320 | − | 0.688178i | 0.0653190 | − | 0.113136i | −0.831516 | − | 0.555500i | \(-0.812527\pi\) |
0.896835 | + | 0.442364i | \(0.145860\pi\) | |||||||
\(38\) | −0.0167899 | − | 0.0140884i | −0.00272368 | − | 0.00228544i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.0967671 | − | 0.0170627i | 0.0153002 | − | 0.00269784i | ||||
\(41\) | 3.97658 | + | 1.44736i | 0.621037 | + | 0.226039i | 0.633326 | − | 0.773885i | \(-0.281689\pi\) |
−0.0122884 | + | 0.999924i | \(0.503912\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.303215 | + | 1.71962i | −0.0462399 | + | 0.262239i | −0.999160 | − | 0.0409825i | \(-0.986951\pi\) |
0.952920 | + | 0.303222i | \(0.0980623\pi\) | |||||||
\(44\) | −7.95407 | − | 4.59229i | −1.19912 | − | 0.692313i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.0554557 | + | 0.0960520i | 0.00817649 | + | 0.0141621i | ||||
\(47\) | 0.286275 | − | 1.62355i | 0.0417575 | − | 0.236819i | −0.956785 | − | 0.290798i | \(-0.906079\pi\) |
0.998542 | + | 0.0539790i | \(0.0171904\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.403318 | + | 6.98837i | −0.0576169 | + | 0.998339i | ||||
\(50\) | −0.0219863 | − | 0.0262023i | −0.00310933 | − | 0.00370556i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 8.79559 | + | 1.55090i | 1.21973 | + | 0.215071i | ||||
\(53\) | 3.66888 | + | 2.11823i | 0.503959 | + | 0.290961i | 0.730347 | − | 0.683076i | \(-0.239358\pi\) |
−0.226388 | + | 0.974037i | \(0.572692\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 7.55866i | − | 1.01921i | ||||||
\(56\) | −0.0364696 | − | 0.153696i | −0.00487346 | − | 0.0205385i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.116164 | − | 0.0422802i | −0.0152531 | − | 0.00555166i | ||||
\(59\) | 10.8663 | + | 3.95501i | 1.41467 | + | 0.514898i | 0.932497 | − | 0.361178i | \(-0.117625\pi\) |
0.482173 | + | 0.876076i | \(0.339848\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.96287 | + | 0.522435i | 0.379357 | + | 0.0668909i | 0.360075 | − | 0.932923i | \(-0.382751\pi\) |
0.0192817 | + | 0.999814i | \(0.493862\pi\) | |||||||
\(62\) | 0.0627118 | − | 0.108620i | 0.00796441 | − | 0.0137948i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −3.99733 | − | 6.92357i | −0.499666 | − | 0.865447i | ||||
\(65\) | 2.51392 | + | 6.90693i | 0.311813 | + | 0.856700i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −8.30643 | + | 6.96992i | −1.01479 | + | 0.851512i | −0.988964 | − | 0.148155i | \(-0.952667\pi\) |
−0.0258279 | + | 0.999666i | \(0.508222\pi\) | |||||||
\(68\) | −1.31059 | − | 7.43270i | −0.158932 | − | 0.901348i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.0472649 | − | 0.0446158i | 0.00564924 | − | 0.00533260i | ||||
\(71\) | −6.66808 | + | 3.84982i | −0.791355 | + | 0.456889i | −0.840439 | − | 0.541906i | \(-0.817703\pi\) |
0.0490844 | + | 0.998795i | \(0.484370\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 13.7076 | − | 7.91406i | 1.60435 | − | 0.926271i | 0.613745 | − | 0.789504i | \(-0.289662\pi\) |
0.990603 | − | 0.136767i | \(-0.0436712\pi\) | |||||||
\(74\) | 0.00405690 | + | 0.0111462i | 0.000471605 | + | 0.00129573i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −2.89171 | + | 0.509886i | −0.331701 | + | 0.0584879i | ||||
\(77\) | −12.1307 | + | 0.709749i | −1.38242 | + | 0.0808833i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.22109 | + | 1.02462i | 0.137384 | + | 0.115279i | 0.708890 | − | 0.705319i | \(-0.249196\pi\) |
−0.571506 | + | 0.820598i | \(0.693641\pi\) | |||||||
\(80\) | 3.29043 | − | 5.69919i | 0.367881 | − | 0.637189i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −0.0547050 | + | 0.0315840i | −0.00604116 | + | 0.00348787i | ||||
\(83\) | 4.61667 | − | 1.68033i | 0.506745 | − | 0.184440i | −0.0759804 | − | 0.997109i | \(-0.524209\pi\) |
0.582725 | + | 0.812669i | \(0.301986\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 4.75812 | − | 3.99254i | 0.516091 | − | 0.433051i | ||||
\(86\) | −0.0167541 | − | 0.0199668i | −0.00180664 | − | 0.00215307i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.257675 | − | 0.0937859i | 0.0274682 | − | 0.00999761i | ||||
\(89\) | 7.18505 | 0.761614 | 0.380807 | − | 0.924655i | \(-0.375646\pi\) | ||||
0.380807 | + | 0.924655i | \(0.375646\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 10.8487 | − | 4.68306i | 1.13725 | − | 0.490918i | ||||
\(92\) | 14.6331 | + | 2.58021i | 1.52561 | + | 0.269005i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.0158181 | + | 0.0188513i | 0.00163151 | + | 0.00194436i | ||||
\(95\) | −1.55330 | − | 1.85115i | −0.159365 | − | 0.189924i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.56544 | + | 0.276029i | 0.158946 | + | 0.0280265i | 0.252555 | − | 0.967583i | \(-0.418729\pi\) |
−0.0936086 | + | 0.995609i | \(0.529840\pi\) | |||||||
\(98\) | −0.0760405 | − | 0.0716645i | −0.00768125 | − | 0.00723921i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −4.58241 | −0.458241 | ||||||||
\(101\) | −2.17178 | + | 0.790462i | −0.216100 | + | 0.0786539i | −0.447802 | − | 0.894133i | \(-0.647793\pi\) |
0.231702 | + | 0.972787i | \(0.425571\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.351554 | − | 0.418965i | −0.0346396 | − | 0.0412819i | 0.748447 | − | 0.663195i | \(-0.230800\pi\) |
−0.783086 | + | 0.621913i | \(0.786356\pi\) | |||||||
\(104\) | −0.204265 | + | 0.171399i | −0.0200299 | + | 0.0168070i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.0594239 | + | 0.0216285i | −0.00577176 | + | 0.00210075i | ||||
\(107\) | 2.89299 | − | 1.67027i | 0.279676 | − | 0.161471i | −0.353601 | − | 0.935397i | \(-0.615043\pi\) |
0.633277 | + | 0.773925i | \(0.281709\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.92585 | − | 3.33567i | 0.184463 | − | 0.319499i | −0.758932 | − | 0.651169i | \(-0.774279\pi\) |
0.943395 | + | 0.331670i | \(0.107612\pi\) | |||||||
\(110\) | 0.0864314 | + | 0.0725246i | 0.00824091 | + | 0.00691495i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −9.45541 | − | 4.74556i | −0.893453 | − | 0.448413i | ||||
\(113\) | −4.52691 | + | 0.798216i | −0.425856 | + | 0.0750899i | −0.382469 | − | 0.923968i | \(-0.624926\pi\) |
−0.0433872 | + | 0.999058i | \(0.513815\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.18237 | + | 11.4910i | 0.390008 | + | 1.07154i | ||||
\(116\) | −14.3425 | + | 8.28065i | −1.33167 | + | 0.768839i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.149485 | + | 0.0863054i | −0.0137612 | + | 0.00794506i | ||||
\(119\) | −6.85428 | − | 7.26126i | −0.628330 | − | 0.665639i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.75277 | − | 9.94044i | −0.159343 | − | 0.903676i | ||||
\(122\) | −0.0344024 | + | 0.0288670i | −0.00311464 | + | 0.00261350i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −5.74698 | − | 15.7897i | −0.516094 | − | 1.41796i | ||||
\(125\) | −6.00001 | − | 10.3923i | −0.536657 | − | 0.929518i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.63202 | − | 4.55879i | 0.233554 | − | 0.404527i | −0.725298 | − | 0.688435i | \(-0.758298\pi\) |
0.958851 | + | 0.283908i | \(0.0916312\pi\) | |||||||
\(128\) | 0.470277 | + | 0.0829224i | 0.0415670 | + | 0.00732938i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.103100 | − | 0.0375253i | −0.00904246 | − | 0.00329119i | ||||
\(131\) | 14.2240 | + | 5.17710i | 1.24275 | + | 0.452325i | 0.877947 | − | 0.478758i | \(-0.158913\pi\) |
0.364807 | + | 0.931083i | \(0.381135\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.82500 | + | 2.66667i | −0.244959 | + | 0.231229i | ||||
\(134\) | − | 0.161858i | − | 0.0139824i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.195143 | + | 0.112666i | 0.0167334 | + | 0.00966102i | ||||
\(137\) | −3.51827 | − | 0.620365i | −0.300586 | − | 0.0530014i | 0.0213213 | − | 0.999773i | \(-0.493213\pi\) |
−0.321907 | + | 0.946771i | \(0.604324\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −3.91305 | − | 4.66340i | −0.331901 | − | 0.395544i | 0.574124 | − | 0.818768i | \(-0.305343\pi\) |
−0.906025 | + | 0.423224i | \(0.860898\pi\) | |||||||
\(140\) | −0.508600 | − | 8.69273i | −0.0429846 | − | 0.734670i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.0199578 | − | 0.113186i | 0.00167482 | − | 0.00949839i | ||||
\(143\) | 10.2560 | + | 17.7640i | 0.857652 | + | 1.48550i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −11.8035 | − | 6.81476i | −0.980228 | − | 0.565935i | ||||
\(146\) | −0.0410273 | + | 0.232677i | −0.00339544 | + | 0.0192565i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.49327 | + | 0.543505i | 0.122746 | + | 0.0446758i | ||||
\(149\) | 19.9144 | − | 3.51144i | 1.63145 | − | 0.287668i | 0.718433 | − | 0.695596i | \(-0.244860\pi\) |
0.913014 | + | 0.407928i | \(0.133748\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 14.6511 | + | 12.2937i | 1.19229 | + | 1.00045i | 0.999817 | + | 0.0191488i | \(0.00609564\pi\) |
0.192474 | + | 0.981302i | \(0.438349\pi\) | |||||||
\(152\) | 0.0438328 | − | 0.0759207i | 0.00355531 | − | 0.00615798i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.108277 | − | 0.145521i | 0.00872518 | − | 0.0117264i | ||||
\(155\) | 8.88877 | − | 10.5932i | 0.713963 | − | 0.850868i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 5.43336 | − | 14.9280i | 0.433630 | − | 1.19139i | −0.509939 | − | 0.860211i | \(-0.670332\pi\) |
0.943569 | − | 0.331177i | \(-0.107446\pi\) | |||||||
\(158\) | −0.0234325 | + | 0.00413178i | −0.00186419 | + | 0.000328707i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.100811 | + | 0.276977i | 0.00796983 | + | 0.0218969i | ||||
\(161\) | 18.0488 | − | 7.79114i | 1.42244 | − | 0.614028i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 8.71884 | + | 15.1015i | 0.682912 | + | 1.18284i | 0.974088 | + | 0.226169i | \(0.0726202\pi\) |
−0.291176 | + | 0.956670i | \(0.594046\pi\) | |||||||
\(164\) | −1.46952 | + | 8.33406i | −0.114750 | + | 0.650781i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.0250823 | + | 0.0689130i | −0.00194676 | + | 0.00534869i | ||||
\(167\) | −1.64317 | − | 9.31890i | −0.127153 | − | 0.721118i | −0.980006 | − | 0.198968i | \(-0.936241\pi\) |
0.852853 | − | 0.522150i | \(-0.174870\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.32122 | − | 4.46503i | −0.409325 | − | 0.343464i | ||||
\(170\) | 0.0927159i | 0.00711099i | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −3.49190 | −0.266255 | ||||||||
\(173\) | −1.42819 | + | 0.519819i | −0.108583 | + | 0.0395211i | −0.395740 | − | 0.918362i | \(-0.629512\pi\) |
0.287157 | + | 0.957883i | \(0.407290\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −5.06437 | + | 3.33281i | −0.382831 | + | 0.251937i | ||||
\(176\) | 6.28122 | − | 17.2575i | 0.473465 | − | 1.30083i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.0689398 | + | 0.0821592i | −0.00516726 | + | 0.00615810i | ||||
\(179\) | − | 8.59347i | − | 0.642306i | −0.947027 | − | 0.321153i | \(-0.895930\pi\) | ||
0.947027 | − | 0.321153i | \(-0.104070\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −9.18805 | − | 5.30472i | −0.682942 | − | 0.394297i | 0.118021 | − | 0.993011i | \(-0.462345\pi\) |
−0.800963 | + | 0.598714i | \(0.795678\pi\) | |||||||
\(182\) | −0.0505422 | + | 0.168985i | −0.00374644 | + | 0.0125260i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.339833 | + | 0.285154i | −0.0250528 | + | 0.0210218i | ||||
\(185\) | 0.227095 | + | 1.28792i | 0.0166964 | + | 0.0946898i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 11.1419 | − | 13.2784i | 0.814775 | − | 0.971011i | ||||
\(188\) | 3.29682 | 0.240445 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.0360713 | 0.00261688 | ||||||||
\(191\) | −6.31992 | + | 7.53179i | −0.457294 | + | 0.544981i | −0.944589 | − | 0.328256i | \(-0.893539\pi\) |
0.487295 | + | 0.873237i | \(0.337984\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 3.38821 | + | 19.2155i | 0.243889 | + | 1.38316i | 0.823059 | + | 0.567955i | \(0.192265\pi\) |
−0.579171 | + | 0.815206i | \(0.696623\pi\) | |||||||
\(194\) | −0.0181766 | + | 0.0152520i | −0.00130500 | + | 0.00109503i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −13.9029 | + | 1.63247i | −0.993066 | + | 0.116605i | ||||
\(197\) | 3.74738 | + | 2.16355i | 0.266990 | + | 0.154147i | 0.627519 | − | 0.778601i | \(-0.284070\pi\) |
−0.360529 | + | 0.932748i | \(0.617404\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1.69609i | 0.120233i | 0.998191 | + | 0.0601164i | \(0.0191472\pi\) | ||||
−0.998191 | + | 0.0601164i | \(0.980853\pi\) | |||||||
\(200\) | 0.0879404 | − | 0.104803i | 0.00621832 | − | 0.00741071i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0.0117992 | − | 0.0324181i | 0.000830191 | − | 0.00228093i | ||||
\(203\) | −9.82845 | + | 19.5830i | −0.689822 | + | 1.37445i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −6.54451 | + | 2.38201i | −0.457089 | + | 0.166367i | ||||
\(206\) | 0.00816388 | 0.000568805 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 17.8586i | 1.23827i | ||||||||
\(209\) | −5.16597 | − | 4.33477i | −0.357338 | − | 0.299842i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.04647 | + | 5.93483i | 0.0720420 | + | 0.408570i | 0.999408 | + | 0.0344141i | \(0.0109565\pi\) |
−0.927366 | + | 0.374156i | \(0.877932\pi\) | |||||||
\(212\) | −2.89758 | + | 7.96104i | −0.199007 | + | 0.546767i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −0.00865884 | + | 0.0491067i | −0.000591906 | + | 0.00335687i | ||||
\(215\) | −1.43687 | − | 2.48874i | −0.0979939 | − | 0.169730i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −17.8354 | − | 13.2706i | −1.21074 | − | 0.900868i | ||||
\(218\) | 0.0196642 | + | 0.0540270i | 0.00133183 | + | 0.00365917i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 14.8860 | − | 2.62480i | 1.00361 | − | 0.176964i | ||||
\(221\) | −5.76497 | + | 15.8391i | −0.387794 | + | 1.06546i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −0.590154 | + | 0.703318i | −0.0395196 | + | 0.0470976i | −0.785442 | − | 0.618935i | \(-0.787564\pi\) |
0.745923 | + | 0.666033i | \(0.232009\pi\) | |||||||
\(224\) | 0.435045 | − | 0.187796i | 0.0290676 | − | 0.0125477i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.0343078 | − | 0.0594229i | 0.00228212 | − | 0.00395275i | ||||
\(227\) | 10.2102 | + | 8.56739i | 0.677676 | + | 0.568638i | 0.915326 | − | 0.402713i | \(-0.131933\pi\) |
−0.237650 | + | 0.971351i | \(0.576377\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 12.1287 | − | 2.13862i | 0.801488 | − | 0.141324i | 0.242123 | − | 0.970246i | \(-0.422156\pi\) |
0.559365 | + | 0.828922i | \(0.311045\pi\) | |||||||
\(230\) | −0.171526 | − | 0.0624303i | −0.0113101 | − | 0.00411653i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.0858601 | − | 0.486937i | 0.00563699 | − | 0.0319690i | ||||
\(233\) | −21.5947 | − | 12.4677i | −1.41472 | − | 0.816788i | −0.418891 | − | 0.908037i | \(-0.637581\pi\) |
−0.995828 | + | 0.0912481i | \(0.970914\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.35660 | + | 2.34970i | 0.0884947 | + | 0.153277i | ||||
\(236\) | −4.01557 | + | 22.7734i | −0.261391 | + | 1.48242i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.148797 | − | 0.00870590i | 0.00964506 | − | 0.000564320i | ||||
\(239\) | −7.34853 | − | 8.75764i | −0.475337 | − | 0.566485i | 0.474088 | − | 0.880477i | \(-0.342778\pi\) |
−0.949425 | + | 0.313993i | \(0.898333\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −6.05886 | − | 1.06834i | −0.390286 | − | 0.0688179i | −0.0249379 | − | 0.999689i | \(-0.507939\pi\) |
−0.365348 | + | 0.930871i | \(0.619050\pi\) | |||||||
\(242\) | 0.130484 | + | 0.0753350i | 0.00838784 | + | 0.00484272i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 6.01649i | 0.385166i | ||||||||
\(245\) | −6.88436 | − | 9.23710i | −0.439826 | − | 0.590137i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 6.16224 | + | 2.24287i | 0.392094 | + | 0.142711i | ||||
\(248\) | 0.471412 | + | 0.171580i | 0.0299347 | + | 0.0108953i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0.176403 | + | 0.0311046i | 0.0111567 | + | 0.00196723i | ||||
\(251\) | −6.31801 | + | 10.9431i | −0.398789 | + | 0.690724i | −0.993577 | − | 0.113160i | \(-0.963903\pi\) |
0.594787 | + | 0.803883i | \(0.297236\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 17.0628 | + | 29.5536i | 1.07273 | + | 1.85802i | ||||
\(254\) | 0.0268747 | + | 0.0738376i | 0.00168627 | + | 0.00463298i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 12.2431 | − | 10.2731i | 0.765191 | − | 0.642072i | ||||
\(257\) | 2.59847 | + | 14.7367i | 0.162088 | + | 0.919247i | 0.952016 | + | 0.306048i | \(0.0990068\pi\) |
−0.789928 | + | 0.613200i | \(0.789882\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2.04562 | − | 0.485392i | 0.127109 | − | 0.0301608i | ||||
\(260\) | −12.7295 | + | 7.34939i | −0.789451 | + | 0.455790i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −0.195676 | + | 0.112974i | −0.0120889 | + | 0.00697955i | ||||
\(263\) | 5.44968 | + | 14.9729i | 0.336042 | + | 0.923267i | 0.986505 | + | 0.163730i | \(0.0523525\pi\) |
−0.650463 | + | 0.759538i | \(0.725425\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −6.86628 | + | 1.21071i | −0.421792 | + | 0.0743734i | ||||
\(266\) | −0.00338704 | − | 0.0578896i | −0.000207673 | − | 0.00354944i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −16.6110 | − | 13.9383i | −1.01468 | − | 0.851417i | ||||
\(269\) | 4.94336 | − | 8.56215i | 0.301402 | − | 0.522044i | −0.675052 | − | 0.737770i | \(-0.735879\pi\) |
0.976454 | + | 0.215727i | \(0.0692121\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.92889 | − | 1.11364i | 0.117171 | − | 0.0676490i | −0.440269 | − | 0.897866i | \(-0.645117\pi\) |
0.557440 | + | 0.830217i | \(0.311784\pi\) | |||||||
\(272\) | 14.1812 | − | 5.16155i | 0.859864 | − | 0.312965i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0.0408511 | − | 0.0342782i | 0.00246791 | − | 0.00207082i | ||||
\(275\) | −6.76483 | − | 8.06201i | −0.407935 | − | 0.486158i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 8.12965 | − | 2.95895i | 0.488464 | − | 0.177786i | −0.0860344 | − | 0.996292i | \(-0.527420\pi\) |
0.574498 | + | 0.818506i | \(0.305197\pi\) | |||||||
\(278\) | 0.0908701 | 0.00545003 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.208570 | + | 0.155189i | 0.0124644 | + | 0.00927431i | ||||
\(281\) | −29.4759 | − | 5.19740i | −1.75839 | − | 0.310051i | −0.800958 | − | 0.598721i | \(-0.795676\pi\) |
−0.957429 | + | 0.288670i | \(0.906787\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 6.29451 | + | 7.50150i | 0.374170 | + | 0.445918i | 0.919965 | − | 0.392001i | \(-0.128217\pi\) |
−0.545795 | + | 0.837918i | \(0.683772\pi\) | |||||||
\(284\) | −9.89735 | − | 11.7952i | −0.587300 | − | 0.699917i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.301532 | − | 0.0531682i | −0.0178300 | − | 0.00314390i | ||||
\(287\) | 4.43733 | + | 10.2794i | 0.261927 | + | 0.606774i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −2.75614 | −0.162126 | ||||||||
\(290\) | 0.191178 | − | 0.0695833i | 0.0112264 | − | 0.00408607i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 20.3460 | + | 24.2474i | 1.19066 | + | 1.41897i | ||||
\(293\) | 7.96197 | − | 6.68088i | 0.465143 | − | 0.390301i | −0.379876 | − | 0.925037i | \(-0.624033\pi\) |
0.845019 | + | 0.534736i | \(0.179589\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −17.8834 | + | 6.50901i | −1.04121 | + | 0.378969i | ||||
\(296\) | −0.0410875 | + | 0.0237219i | −0.00238816 | + | 0.00137881i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −0.150924 | + | 0.261408i | −0.00874278 | + | 0.0151429i | ||||
\(299\) | −25.4208 | − | 21.3306i | −1.47012 | − | 1.23358i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −3.85917 | + | 2.53968i | −0.222439 | + | 0.146385i | ||||
\(302\) | −0.281152 | + | 0.0495747i | −0.0161785 | + | 0.00285270i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −2.00811 | − | 5.51724i | −0.115173 | − | 0.316435i | ||||
\(305\) | −4.28805 | + | 2.47571i | −0.245533 | + | 0.141759i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −14.7821 | + | 8.53446i | −0.843660 | + | 0.487087i | −0.858507 | − | 0.512802i | \(-0.828607\pi\) |
0.0148465 | + | 0.999890i | \(0.495274\pi\) | |||||||
\(308\) | −5.61024 | − | 23.6436i | −0.319673 | − | 1.34722i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.0358441 | + | 0.203282i | 0.00203581 | + | 0.0115456i | ||||
\(311\) | −25.4810 | + | 21.3811i | −1.44489 | + | 1.21241i | −0.508690 | + | 0.860950i | \(0.669870\pi\) |
−0.936203 | + | 0.351459i | \(0.885686\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.334233 | + | 0.918298i | 0.0188920 | + | 0.0519052i | 0.948780 | − | 0.315937i | \(-0.102319\pi\) |
−0.929888 | + | 0.367842i | \(0.880097\pi\) | |||||||
\(314\) | 0.118566 | + | 0.205362i | 0.00669106 | + | 0.0115893i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.59384 | + | 2.76062i | −0.0896608 | + | 0.155297i | ||||
\(317\) | 3.33535 | + | 0.588112i | 0.187332 | + | 0.0330317i | 0.266527 | − | 0.963827i | \(-0.414124\pi\) |
−0.0791950 | + | 0.996859i | \(0.525235\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −35.7417 | − | 13.0089i | −2.00115 | − | 0.728360i | ||||
\(320\) | 12.3638 | + | 4.50007i | 0.691159 | + | 0.251561i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.0840863 | + | 0.281138i | −0.00468595 | + | 0.0156672i | ||||
\(323\) | − | 5.54159i | − | 0.308343i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 8.86287 | + | 5.11698i | 0.491624 | + | 0.283839i | ||||
\(326\) | −0.256338 | − | 0.0451993i | −0.0141972 | − | 0.00250336i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.162405 | − | 0.193547i | −0.00896733 | − | 0.0106868i | ||||
\(329\) | 3.64357 | − | 2.39779i | 0.200877 | − | 0.132195i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 1.05543 | − | 5.98565i | 0.0580117 | − | 0.329001i | −0.941966 | − | 0.335709i | \(-0.891024\pi\) |
0.999978 | + | 0.00670803i | \(0.00213525\pi\) | |||||||
\(332\) | 4.91240 | + | 8.50853i | 0.269603 | + | 0.466967i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0.122325 | + | 0.0706246i | 0.00669335 | + | 0.00386441i | ||||
\(335\) | 3.09883 | − | 17.5744i | 0.169307 | − | 0.960190i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −16.0696 | − | 5.84885i | −0.875366 | − | 0.318607i | −0.135028 | − | 0.990842i | \(-0.543112\pi\) |
−0.740338 | + | 0.672235i | \(0.765335\pi\) | |||||||
\(338\) | 0.102113 | − | 0.0180053i | 0.00555422 | − | 0.000979359i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 9.51518 | + | 7.98419i | 0.516033 | + | 0.433003i | ||||
\(341\) | 19.2954 | − | 33.4206i | 1.04490 | − | 1.80983i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −14.1779 | + | 11.9158i | −0.765534 | + | 0.643395i | ||||
\(344\) | 0.0670127 | − | 0.0798626i | 0.00361308 | − | 0.00430590i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.00775934 | − | 0.0213186i | 0.000417144 | − | 0.00114610i | ||||
\(347\) | −20.7567 | + | 3.65996i | −1.11428 | + | 0.196477i | −0.700327 | − | 0.713822i | \(-0.746962\pi\) |
−0.413950 | + | 0.910299i | \(0.635851\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −2.22508 | − | 6.11336i | −0.119106 | − | 0.327240i | 0.865785 | − | 0.500416i | \(-0.166819\pi\) |
−0.984891 | + | 0.173175i | \(0.944597\pi\) | |||||||
\(350\) | 0.0104823 | − | 0.0898878i | 0.000560302 | − | 0.00480471i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0.411279 | + | 0.712357i | 0.0219213 | + | 0.0379687i | ||||
\(353\) | 3.31542 | − | 18.8027i | 0.176462 | − | 1.00077i | −0.759980 | − | 0.649946i | \(-0.774791\pi\) |
0.936443 | − | 0.350821i | \(-0.114097\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 4.33400 | − | 11.9076i | 0.230025 | − | 0.631989i | ||||
\(356\) | 2.49506 | + | 14.1502i | 0.132238 | + | 0.749959i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0.0982642 | + | 0.0824534i | 0.00519342 | + | 0.00435780i | ||||
\(359\) | 20.1016i | 1.06092i | 0.847710 | + | 0.530460i | \(0.177981\pi\) | ||||
−0.847710 | + | 0.530460i | \(0.822019\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 16.8440 | 0.886528 | ||||||||
\(362\) | 0.148817 | − | 0.0541648i | 0.00782162 | − | 0.00284684i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 12.9901 | + | 19.7391i | 0.680865 | + | 1.03461i | ||||
\(365\) | −8.90941 | + | 24.4784i | −0.466340 | + | 1.28126i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 0.397490 | − | 0.473710i | 0.0207488 | − | 0.0247275i | −0.755570 | − | 0.655068i | \(-0.772640\pi\) |
0.776319 | + | 0.630340i | \(0.217085\pi\) | |||||||
\(368\) | 29.7110i | 1.54880i | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −0.0169060 | − | 0.00976069i | −0.000878902 | − | 0.000507434i | ||||
\(371\) | 2.58777 | + | 10.9058i | 0.134350 | + | 0.566201i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 24.6870 | − | 20.7149i | 1.27825 | − | 1.07258i | 0.284764 | − | 0.958598i | \(-0.408085\pi\) |
0.993483 | − | 0.113979i | \(-0.0363595\pi\) | |||||||
\(374\) | 0.0449298 | + | 0.254809i | 0.00232326 | + | 0.0131759i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.0632688 | + | 0.0754008i | −0.00326284 | + | 0.00388850i | ||||
\(377\) | 36.9866 | 1.90491 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 8.60323 | 0.441918 | 0.220959 | − | 0.975283i | \(-0.429081\pi\) | ||||
0.220959 | + | 0.975283i | \(0.429081\pi\) | |||||||
\(380\) | 3.10626 | − | 3.70190i | 0.159348 | − | 0.189903i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −0.0254852 | − | 0.144534i | −0.00130393 | − | 0.00739498i | ||||
\(383\) | −9.30459 | + | 7.80747i | −0.475442 | + | 0.398943i | −0.848775 | − | 0.528754i | \(-0.822659\pi\) |
0.373333 | + | 0.927697i | \(0.378215\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 14.5426 | − | 13.7275i | 0.741161 | − | 0.699620i | ||||
\(386\) | −0.252234 | − | 0.145627i | −0.0128384 | − | 0.00741224i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 3.17883i | 0.161380i | ||||||||
\(389\) | 20.6789 | − | 24.6442i | 1.04846 | − | 1.24951i | 0.0809437 | − | 0.996719i | \(-0.474207\pi\) |
0.967521 | − | 0.252792i | \(-0.0813489\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −9.59110 | + | 26.3513i | −0.485043 | + | 1.33264i | ||||
\(392\) | 0.229473 | − | 0.349299i | 0.0115901 | − | 0.0176423i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −0.0606954 | + | 0.0220913i | −0.00305779 | + | 0.00111295i | ||||
\(395\) | −2.62339 | −0.131997 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 11.5611i | − | 0.580233i | −0.956991 | − | 0.290116i | \(-0.906306\pi\) | ||
0.956991 | − | 0.290116i | \(-0.0936940\pi\) | |||||||
\(398\) | −0.0193944 | − | 0.0162738i | −0.000972153 | − | 0.000815733i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −1.59110 | − | 9.02357i | −0.0795549 | − | 0.451179i | ||||
\(401\) | 0.0353788 | − | 0.0972024i | 0.00176673 | − | 0.00485406i | −0.938806 | − | 0.344446i | \(-0.888067\pi\) |
0.940573 | + | 0.339592i | \(0.110289\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −6.51641 | + | 36.9564i | −0.324606 | + | 1.84093i | ||||
\(404\) | −2.31090 | − | 4.00259i | −0.114971 | − | 0.199136i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.129623 | − | 0.300282i | −0.00643310 | − | 0.0149028i | ||||
\(407\) | 1.24824 | + | 3.42952i | 0.0618731 | + | 0.169995i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −3.57697 | + | 0.630716i | −0.176870 | + | 0.0311869i | −0.261381 | − | 0.965236i | \(-0.584178\pi\) |
0.0845117 | + | 0.996422i | \(0.473067\pi\) | |||||||
\(410\) | 0.0355563 | − | 0.0976900i | 0.00175600 | − | 0.00482457i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.703029 | − | 0.837837i | 0.0346357 | − | 0.0412773i | ||||
\(413\) | 12.1253 | + | 28.0892i | 0.596648 | + | 1.38218i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4.04278 | + | 7.00230i | −0.198452 | + | 0.343730i | ||||
\(416\) | −0.612739 | − | 0.514149i | −0.0300420 | − | 0.0252082i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.0991340 | − | 0.0174800i | 0.00484880 | − | 0.000854974i | ||||
\(419\) | −37.3388 | − | 13.5902i | −1.82412 | − | 0.663926i | −0.994392 | − | 0.105761i | \(-0.966272\pi\) |
−0.829730 | − | 0.558165i | \(-0.811506\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.45892 | + | 8.27397i | −0.0711036 | + | 0.403249i | 0.928395 | + | 0.371594i | \(0.121189\pi\) |
−0.999499 | + | 0.0316544i | \(0.989922\pi\) | |||||||
\(422\) | −0.0779040 | − | 0.0449779i | −0.00379231 | − | 0.00218949i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −0.126468 | − | 0.219049i | −0.00614184 | − | 0.0106380i | ||||
\(425\) | 1.50174 | − | 8.51682i | 0.0728453 | − | 0.413126i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 4.37583 | + | 6.64929i | 0.211761 | + | 0.321782i | ||||
\(428\) | 4.29404 | + | 5.11744i | 0.207560 | + | 0.247361i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0.0422447 | + | 0.00744889i | 0.00203722 | + | 0.000359217i | ||||
\(431\) | 4.45253 | + | 2.57067i | 0.214471 | + | 0.123825i | 0.603387 | − | 0.797448i | \(-0.293817\pi\) |
−0.388917 | + | 0.921273i | \(0.627151\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 19.5889i | − | 0.941384i | −0.882298 | − | 0.470692i | \(-0.844004\pi\) | ||
0.882298 | − | 0.470692i | \(-0.155996\pi\) | |||||||
\(434\) | 0.322875 | − | 0.0766129i | 0.0154985 | − | 0.00367754i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 7.23802 | + | 2.63442i | 0.346638 | + | 0.126166i | ||||
\(437\) | 10.2520 | + | 3.73143i | 0.490421 | + | 0.178499i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −31.6846 | − | 5.58684i | −1.51222 | − | 0.266645i | −0.644851 | − | 0.764309i | \(-0.723080\pi\) |
−0.867370 | + | 0.497663i | \(0.834192\pi\) | |||||||
\(440\) | −0.225644 | + | 0.390827i | −0.0107572 | + | 0.0186319i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.125802 | − | 0.217896i | −0.00598380 | − | 0.0103643i | ||||
\(443\) | 7.92834 | + | 21.7829i | 0.376687 | + | 1.03494i | 0.972721 | + | 0.231979i | \(0.0745201\pi\) |
−0.596034 | + | 0.802959i | \(0.703258\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −9.05840 | + | 7.60090i | −0.429409 | + | 0.360317i | ||||
\(446\) | −0.00237980 | − | 0.0134965i | −0.000112687 | − | 0.000639079i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 6.06106 | − | 20.2649i | 0.286358 | − | 0.957425i | ||||
\(449\) | 16.3545 | − | 9.44229i | 0.771817 | − | 0.445609i | −0.0617051 | − | 0.998094i | \(-0.519654\pi\) |
0.833523 | + | 0.552485i | \(0.186321\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −16.8318 | + | 9.71787i | −0.792581 | + | 0.457597i | ||||
\(452\) | −3.14401 | − | 8.63809i | −0.147882 | − | 0.406302i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −0.195932 | + | 0.0345481i | −0.00919554 | + | 0.00162142i | ||||
\(455\) | −8.72312 | + | 17.3806i | −0.408946 | + | 0.814816i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −14.1005 | − | 11.8318i | −0.659596 | − | 0.553467i | 0.250370 | − | 0.968150i | \(-0.419448\pi\) |
−0.909966 | + | 0.414684i | \(0.863892\pi\) | |||||||
\(458\) | −0.0919191 | + | 0.159209i | −0.00429510 | + | 0.00743933i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −21.1779 | + | 12.2271i | −0.987425 | + | 0.570090i | ||||
\(461\) | 15.0689 | − | 5.48464i | 0.701830 | − | 0.255445i | 0.0336380 | − | 0.999434i | \(-0.489291\pi\) |
0.668192 | + | 0.743989i | \(0.267068\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 27.7311 | − | 23.2691i | 1.28877 | − | 1.08141i | 0.296802 | − | 0.954939i | \(-0.404080\pi\) |
0.991971 | − | 0.126469i | \(-0.0403645\pi\) | |||||||
\(464\) | −21.2860 | − | 25.3677i | −0.988180 | − | 1.17767i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0.349765 | − | 0.127304i | 0.0162025 | − | 0.00589724i | ||||
\(467\) | 10.8654 | 0.502793 | 0.251396 | − | 0.967884i | \(-0.419110\pi\) | ||||
0.251396 | + | 0.967884i | \(0.419110\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −28.4955 | − | 3.32301i | −1.31580 | − | 0.153442i | ||||
\(470\) | −0.0398846 | − | 0.00703274i | −0.00183974 | − | 0.000324396i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −0.443784 | − | 0.528881i | −0.0204268 | − | 0.0243437i | ||||
\(473\) | −5.15496 | − | 6.14344i | −0.237025 | − | 0.282476i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −3.31348 | − | 0.584256i | −0.152033 | − | 0.0268075i | ||||
\(476\) | 11.9201 | − | 16.0203i | 0.546357 | − | 0.734290i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0.170650 | 0.00780534 | ||||||||
\(479\) | −11.5834 | + | 4.21600i | −0.529257 | + | 0.192634i | −0.592807 | − | 0.805345i | \(-0.701980\pi\) |
0.0635495 | + | 0.997979i | \(0.479758\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −2.28123 | − | 2.71867i | −0.104015 | − | 0.123961i | ||||
\(482\) | 0.0703504 | − | 0.0590310i | 0.00320437 | − | 0.00268879i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 18.9680 | − | 6.90379i | 0.862182 | − | 0.313809i | ||||
\(485\) | −2.26560 | + | 1.30805i | −0.102876 | + | 0.0593953i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 9.66499 | − | 16.7403i | 0.437963 | − | 0.758574i | −0.559570 | − | 0.828783i | \(-0.689034\pi\) |
0.997532 | + | 0.0702097i | \(0.0223669\pi\) | |||||||
\(488\) | −0.137602 | − | 0.115462i | −0.00622894 | − | 0.00522670i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.171679 | + | 0.00990806i | 0.00775565 | + | 0.000447600i | ||||
\(491\) | 32.7847 | − | 5.78082i | 1.47955 | − | 0.260885i | 0.625153 | − | 0.780502i | \(-0.285037\pi\) |
0.854399 | + | 0.519617i | \(0.173926\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −10.6900 | − | 29.3706i | −0.481454 | − | 1.32278i | ||||
\(494\) | −0.0847727 | + | 0.0489436i | −0.00381411 | + | 0.00220207i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 29.0973 | − | 16.7993i | 1.30651 | − | 0.754311i | ||||
\(497\) | −19.5170 | − | 5.83740i | −0.875459 | − | 0.261843i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −3.49591 | − | 19.8263i | −0.156498 | − | 0.887546i | −0.957403 | − | 0.288755i | \(-0.906759\pi\) |
0.800905 | − | 0.598792i | \(-0.204352\pi\) | |||||||
\(500\) | 18.3831 | − | 15.4252i | 0.822115 | − | 0.689837i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −0.0645112 | − | 0.177243i | −0.00287927 | − | 0.00791074i | ||||
\(503\) | 5.39577 | + | 9.34574i | 0.240585 | + | 0.416706i | 0.960881 | − | 0.276961i | \(-0.0893273\pi\) |
−0.720296 | + | 0.693667i | \(0.755994\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.90181 | − | 3.29403i | 0.0846294 | − | 0.146582i | ||||
\(506\) | −0.501654 | − | 0.0884552i | −0.0223013 | − | 0.00393231i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 9.89205 | + | 3.60041i | 0.438889 | + | 0.159742i | ||||
\(509\) | 32.3031 | + | 11.7574i | 1.43181 | + | 0.521136i | 0.937449 | − | 0.348122i | \(-0.113180\pi\) |
0.494360 | + | 0.869258i | \(0.335403\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 40.1212 | + | 11.9999i | 1.77486 | + | 0.530846i | ||||
\(512\) | 1.19363i | 0.0527514i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −0.193442 | − | 0.111684i | −0.00853237 | − | 0.00492616i | ||||
\(515\) | 0.886427 | + | 0.156301i | 0.0390607 | + | 0.00688745i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 4.86697 | + | 5.80022i | 0.214049 | + | 0.255094i | ||||
\(518\) | −0.0140772 | + | 0.0280484i | −0.000618515 | + | 0.00123238i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.0762041 | − | 0.432175i | 0.00334177 | − | 0.0189521i | ||||
\(521\) | −16.4187 | − | 28.4380i | −0.719317 | − | 1.24589i | −0.961271 | − | 0.275605i | \(-0.911122\pi\) |
0.241954 | − | 0.970288i | \(-0.422212\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 2.01194 | + | 1.16159i | 0.0879760 | + | 0.0507929i | 0.543343 | − | 0.839511i | \(-0.317158\pi\) |
−0.455367 | + | 0.890304i | \(0.650492\pi\) | |||||||
\(524\) | −5.25638 | + | 29.8104i | −0.229626 | + | 1.30227i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −0.223500 | − | 0.0813475i | −0.00974508 | − | 0.00354692i | ||||
\(527\) | 31.2300 | − | 5.50669i | 1.36040 | − | 0.239875i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −24.6732 | − | 20.7032i | −1.07275 | − | 0.900141i | ||||
\(530\) | 0.0520371 | − | 0.0901309i | 0.00226035 | − | 0.00391504i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −6.23273 | − | 4.63753i | −0.270223 | − | 0.201063i | ||||
\(533\) | 12.1485 | − | 14.4780i | 0.526210 | − | 0.627113i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.88034 | + | 5.16619i | −0.0812941 | + | 0.223354i | ||||
\(536\) | 0.637559 | − | 0.112419i | 0.0275384 | − | 0.00485576i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0.0504750 | + | 0.138679i | 0.00217613 | + | 0.00597888i | ||||
\(539\) | −23.3964 | − | 22.0500i | −1.00776 | − | 0.949761i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 9.54866 | + | 16.5388i | 0.410529 | + | 0.711057i | 0.994948 | − | 0.100395i | \(-0.0320108\pi\) |
−0.584419 | + | 0.811452i | \(0.698677\pi\) | |||||||
\(542\) | −0.00577323 | + | 0.0327416i | −0.000247982 | + | 0.00140637i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −0.231183 | + | 0.635169i | −0.00991187 | + | 0.0272326i | ||||
\(545\) | 1.10075 | + | 6.24269i | 0.0471511 | + | 0.267407i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 18.5854 | + | 15.5950i | 0.794655 | + | 0.666795i | 0.946893 | − | 0.321549i | \(-0.104204\pi\) |
−0.152238 | + | 0.988344i | \(0.548648\pi\) | |||||||
\(548\) | − | 7.14428i | − | 0.305189i | ||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.157095 | 0.00669855 | ||||||||
\(551\) | −11.4267 | + | 4.15896i | −0.486792 | + | 0.177178i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.246332 | + | 4.21019i | 0.0104751 | + | 0.179035i | ||||
\(554\) | −0.0441683 | + | 0.121351i | −0.00187653 | + | 0.00515573i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 7.82524 | − | 9.32575i | 0.331864 | − | 0.395500i | ||||
\(557\) | 16.5691i | 0.702055i | 0.936365 | + | 0.351028i | \(0.114168\pi\) | ||||
−0.936365 | + | 0.351028i | \(0.885832\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 6.75372 | + | 3.89926i | 0.285652 | + | 0.164921i | ||||
\(560\) | 16.9409 | − | 4.01980i | 0.715885 | − | 0.169868i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0.342250 | − | 0.287181i | 0.0144369 | − | 0.0121140i | ||||
\(563\) | −6.89101 | − | 39.0809i | −0.290422 | − | 1.64706i | −0.685250 | − | 0.728308i | \(-0.740307\pi\) |
0.394829 | − | 0.918755i | \(-0.370804\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 4.86279 | − | 5.79525i | 0.204579 | − | 0.243808i | ||||
\(566\) | −0.146173 | −0.00614411 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.459704 | 0.0192888 | ||||||||
\(569\) | −4.54173 | + | 5.41262i | −0.190399 | + | 0.226909i | −0.852796 | − | 0.522244i | \(-0.825095\pi\) |
0.662397 | + | 0.749153i | \(0.269539\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −3.80649 | − | 21.5877i | −0.159297 | − | 0.903417i | −0.954752 | − | 0.297404i | \(-0.903879\pi\) |
0.795455 | − | 0.606013i | \(-0.207232\pi\) | |||||||
\(572\) | −31.4228 | + | 26.3668i | −1.31385 | + | 1.10245i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −0.160118 | − | 0.0478901i | −0.00668321 | − | 0.00199889i | ||||
\(575\) | 14.7450 | + | 8.51305i | 0.614910 | + | 0.355019i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 4.42356i | 0.184155i | 0.995752 | + | 0.0920775i | \(0.0293508\pi\) | ||||
−0.995752 | + | 0.0920775i | \(0.970649\pi\) | |||||||
\(578\) | 0.0264449 | − | 0.0315158i | 0.00109996 | − | 0.00131088i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 9.32210 | − | 25.6122i | 0.387079 | − | 1.06349i | ||||
\(581\) | 11.6174 | + | 5.83062i | 0.481970 | + | 0.241895i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −18.2838 | + | 6.65475i | −0.757236 | + | 0.275611i | ||||
\(584\) | −0.945014 | −0.0391050 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0.155146i | 0.00640900i | ||||||||
\(587\) | −28.2005 | − | 23.6630i | −1.16396 | − | 0.976677i | −0.164007 | − | 0.986459i | \(-0.552442\pi\) |
−0.999952 | + | 0.00978187i | \(0.996886\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.14239 | − | 12.1501i | −0.0882755 | − | 0.500635i | ||||
\(590\) | 0.0971600 | − | 0.266945i | 0.00400001 | − | 0.0109899i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.551766 | + | 3.12922i | −0.0226775 | + | 0.128610i | ||||
\(593\) | −15.9700 | − | 27.6608i | −0.655809 | − | 1.13589i | −0.981690 | − | 0.190484i | \(-0.938994\pi\) |
0.325882 | − | 0.945411i | \(-0.394339\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 16.3229 | + | 1.90350i | 0.669174 | + | 0.0780359i | ||||
\(596\) | 13.8308 | + | 37.9999i | 0.566533 | + | 1.55654i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0.487819 | − | 0.0860157i | 0.0199484 | − | 0.00351744i | ||||
\(599\) | 13.1453 | − | 36.1165i | 0.537104 | − | 1.47568i | −0.313353 | − | 0.949637i | \(-0.601452\pi\) |
0.850457 | − | 0.526044i | \(-0.176325\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 11.7434 | − | 13.9953i | 0.479025 | − | 0.570880i | −0.471366 | − | 0.881938i | \(-0.656239\pi\) |
0.950391 | + | 0.311058i | \(0.100683\pi\) | |||||||
\(602\) | 0.00798775 | − | 0.0684967i | 0.000325557 | − | 0.00279172i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −19.1235 | + | 33.1229i | −0.778126 | + | 1.34775i | ||||
\(605\) | 12.7255 | + | 10.6780i | 0.517366 | + | 0.434122i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 19.1650 | − | 3.37930i | 0.777883 | − | 0.137162i | 0.229410 | − | 0.973330i | \(-0.426320\pi\) |
0.548473 | + | 0.836168i | \(0.315209\pi\) | |||||||
\(608\) | 0.247113 | + | 0.0899419i | 0.0100218 | + | 0.00364763i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.0128343 | − | 0.0727870i | 0.000519646 | − | 0.00294706i | ||||
\(611\) | −6.37641 | − | 3.68142i | −0.257962 | − | 0.148934i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −13.2018 | − | 22.8662i | −0.533217 | − | 0.923559i | −0.999247 | − | 0.0387902i | \(-0.987650\pi\) |
0.466030 | − | 0.884769i | \(-0.345684\pi\) | |||||||
\(614\) | 0.0442435 | − | 0.250917i | 0.00178552 | − | 0.0101262i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.648413 | + | 0.325430i | 0.0261253 | + | 0.0131120i | ||||
\(617\) | −16.7822 | − | 20.0003i | −0.675628 | − | 0.805182i | 0.313910 | − | 0.949453i | \(-0.398361\pi\) |
−0.989538 | + | 0.144271i | \(0.953916\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −27.6159 | − | 4.86943i | −1.10998 | − | 0.195719i | −0.411541 | − | 0.911391i | \(-0.635009\pi\) |
−0.698436 | + | 0.715672i | \(0.746120\pi\) | |||||||
\(620\) | 23.9489 | + | 13.8269i | 0.961813 | + | 0.555303i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 0.496518i | − | 0.0199085i | ||||||
\(623\) | 13.0490 | + | 13.8238i | 0.522797 | + | 0.553839i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 7.79185 | + | 2.83600i | 0.311674 | + | 0.113440i | ||||
\(626\) | −0.0137074 | − | 0.00498910i | −0.000547859 | − | 0.000199405i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 31.2860 | + | 5.51657i | 1.24845 | + | 0.220135i | ||||
\(629\) | −1.49953 | + | 2.59725i | −0.0597900 | + | 0.103559i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −19.6263 | − | 33.9938i | −0.781312 | − | 1.35327i | −0.931178 | − | 0.364565i | \(-0.881218\pi\) |
0.149866 | − | 0.988706i | \(-0.452116\pi\) | |||||||
\(632\) | −0.0325503 | − | 0.0894312i | −0.00129478 | − | 0.00355738i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −0.0387273 | + | 0.0324960i | −0.00153806 | + | 0.00129058i | ||||
\(635\) | 1.50438 | + | 8.53175i | 0.0596994 | + | 0.338572i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 28.7127 | + | 12.3674i | 1.13764 | + | 0.490016i | ||||
\(638\) | 0.491692 | − | 0.283879i | 0.0194663 | − | 0.0112389i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.680613 | + | 0.392952i | −0.0269036 | + | 0.0155328i | ||||
\(641\) | −10.2351 | − | 28.1208i | −0.404263 | − | 1.11070i | −0.960160 | − | 0.279452i | \(-0.909847\pi\) |
0.555897 | − | 0.831251i | \(-0.312375\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 1.69315 | − | 0.298548i | 0.0667714 | − | 0.0117736i | −0.140163 | − | 0.990128i | \(-0.544763\pi\) |
0.206934 | + | 0.978355i | \(0.433651\pi\) | |||||||
\(644\) | 21.6114 | + | 32.8396i | 0.851609 | + | 1.29406i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.0633668 | + | 0.0531710i | 0.00249313 | + | 0.00209199i | ||||
\(647\) | −23.2767 | + | 40.3164i | −0.915102 | + | 1.58500i | −0.108350 | + | 0.994113i | \(0.534557\pi\) |
−0.806752 | + | 0.590890i | \(0.798777\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −45.9942 | + | 26.5548i | −1.80543 | + | 1.04237i | ||||
\(650\) | −0.143550 | + | 0.0522479i | −0.00563049 | + | 0.00204933i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −26.7131 | + | 22.4150i | −1.04617 | + | 0.877837i | ||||
\(653\) | 12.3612 | + | 14.7315i | 0.483730 | + | 0.576487i | 0.951611 | − | 0.307305i | \(-0.0994271\pi\) |
−0.467882 | + | 0.883791i | \(0.654983\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −23.4093 | + | 8.52029i | −0.914677 | + | 0.332915i | ||||
\(656\) | −16.9215 | −0.660673 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −0.00754150 | + | 0.0646699i | −0.000293998 | + | 0.00252110i | ||||
\(659\) | −20.4588 | − | 3.60744i | −0.796962 | − | 0.140526i | −0.239683 | − | 0.970851i | \(-0.577043\pi\) |
−0.557279 | + | 0.830325i | \(0.688155\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 9.07299 | + | 10.8128i | 0.352898 | + | 0.420568i | 0.913066 | − | 0.407811i | \(-0.133708\pi\) |
−0.560168 | + | 0.828379i | \(0.689263\pi\) | |||||||
\(662\) | 0.0583176 | + | 0.0695003i | 0.00226658 | + | 0.00270120i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −0.288870 | − | 0.0509356i | −0.0112103 | − | 0.00197668i | ||||
\(665\) | 0.740559 | − | 6.35045i | 0.0287177 | − | 0.246260i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 61.5341 | 2.38261 | ||||||||
\(668\) | 17.7820 | − | 6.47212i | 0.688006 | − | 0.250414i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0.171226 | + | 0.204059i | 0.00661502 | + | 0.00788347i | ||||
\(671\) | −10.5850 | + | 8.88191i | −0.408631 | + | 0.342882i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −6.36430 | + | 2.31642i | −0.245326 | + | 0.0892913i | −0.461757 | − | 0.887007i | \(-0.652781\pi\) |
0.216431 | + | 0.976298i | \(0.430558\pi\) | |||||||
\(674\) | 0.221066 | − | 0.127633i | 0.00851515 | − | 0.00491623i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 6.94558 | − | 12.0301i | 0.267138 | − | 0.462696i | ||||
\(677\) | −24.1811 | − | 20.2904i | −0.929356 | − | 0.779823i | 0.0463453 | − | 0.998925i | \(-0.485243\pi\) |
−0.975702 | + | 0.219103i | \(0.929687\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 2.31198 | + | 3.51317i | 0.0887255 | + | 0.134823i | ||||
\(680\) | −0.365209 | + | 0.0643962i | −0.0140051 | + | 0.00246948i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.197019 | + | 0.541306i | 0.00754425 | + | 0.0207277i | ||||
\(683\) | 21.2271 | − | 12.2555i | 0.812233 | − | 0.468943i | −0.0354979 | − | 0.999370i | \(-0.511302\pi\) |
0.847731 | + | 0.530427i | \(0.177968\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 5.09185 | − | 2.93978i | 0.194550 | − | 0.112323i | ||||
\(686\) | −0.000219288 | − | 0.276452i | −8.37245e−6 | − | 0.0105550i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −1.21246 | − | 6.87618i | −0.0462244 | − | 0.262152i | ||||
\(689\) | 14.4940 | − | 12.1619i | 0.552178 | − | 0.463332i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −9.24106 | − | 25.3896i | −0.351547 | − | 0.965866i | −0.981874 | − | 0.189537i | \(-0.939301\pi\) |
0.630327 | − | 0.776330i | \(-0.282921\pi\) | |||||||
\(692\) | −1.51968 | − | 2.63216i | −0.0577695 | − | 0.100060i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0.157307 | − | 0.272465i | 0.00597131 | − | 0.0103426i | ||||
\(695\) | 9.86660 | + | 1.73975i | 0.374261 | + | 0.0659924i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −15.0080 | − | 5.46247i | −0.568469 | − | 0.206906i | ||||
\(698\) | 0.0912541 | + | 0.0332138i | 0.00345402 | + | 0.00125716i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −8.32226 | − | 8.81641i | −0.314552 | − | 0.333229i | ||||
\(701\) | 28.6921i | 1.08369i | 0.840479 | + | 0.541843i | \(0.182273\pi\) | ||||
−0.840479 | + | 0.541843i | \(0.817727\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.01047 | + | 0.583393i | 0.0381104 | + | 0.0220031i | ||||
\(704\) | 36.1600 | + | 6.37598i | 1.36283 | + | 0.240304i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0.183193 | + | 0.218321i | 0.00689457 | + | 0.00821662i | ||||
\(707\) | −5.46506 | − | 2.74285i | −0.205535 | − | 0.103155i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −6.60874 | + | 37.4800i | −0.248196 | + | 1.40759i | 0.564754 | + | 0.825259i | \(0.308971\pi\) |
−0.812950 | + | 0.582333i | \(0.802140\pi\) | |||||||
\(710\) | 0.0945759 | + | 0.163810i | 0.00354937 | + | 0.00614769i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −0.371509 | − | 0.214491i | −0.0139229 | − | 0.00803838i | ||||
\(713\) | −10.8413 | + | 61.4838i | −0.406008 | + | 2.30259i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −31.7221 | − | 11.5459i | −1.18634 | − | 0.431793i | ||||
\(716\) | 16.9239 | − | 2.98415i | 0.632477 | − | 0.111523i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −0.229857 | − | 0.192873i | −0.00857817 | − | 0.00719794i | ||||
\(719\) | 6.16159 | − | 10.6722i | 0.229789 | − | 0.398005i | −0.727957 | − | 0.685623i | \(-0.759530\pi\) |
0.957745 | + | 0.287618i | \(0.0928632\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.167608 | − | 1.43728i | 0.00624205 | − | 0.0535269i | ||||
\(722\) | −0.161617 | + | 0.192607i | −0.00601475 | + | 0.00716810i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 7.25648 | − | 19.9370i | 0.269685 | − | 0.740953i | ||||
\(725\) | −18.6886 | + | 3.29530i | −0.694076 | + | 0.122384i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 9.28805 | + | 25.5187i | 0.344475 | + | 0.946437i | 0.984079 | + | 0.177732i | \(0.0568761\pi\) |
−0.639604 | + | 0.768705i | \(0.720902\pi\) | |||||||
\(728\) | −0.700739 | − | 0.0817168i | −0.0259711 | − | 0.00302863i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −0.194420 | − | 0.336745i | −0.00719579 | − | 0.0124635i | ||||
\(731\) | 1.14437 | − | 6.49002i | 0.0423259 | − | 0.240042i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −15.7087 | + | 43.1594i | −0.580216 | + | 1.59413i | 0.207597 | + | 0.978214i | \(0.433436\pi\) |
−0.787813 | + | 0.615915i | \(0.788786\pi\) | |||||||
\(734\) | 0.00160288 | + | 0.00909040i | 5.91635e−5 | + | 0.000335533i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1.01940 | − | 0.855382i | −0.0375757 | − | 0.0315298i | ||||
\(737\) | − | 49.8010i | − | 1.83444i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 27.6265 | 1.01626 | 0.508129 | − | 0.861281i | \(-0.330337\pi\) | ||||
0.508129 | + | 0.861281i | \(0.330337\pi\) | |||||||
\(740\) | −2.45757 | + | 0.894481i | −0.0903419 | + | 0.0328818i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −0.149534 | − | 0.0750495i | −0.00548958 | − | 0.00275515i | ||||
\(743\) | −3.93643 | + | 10.8153i | −0.144414 | + | 0.396773i | −0.990719 | − | 0.135925i | \(-0.956600\pi\) |
0.846306 | + | 0.532698i | \(0.178822\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −21.3919 | + | 25.4939i | −0.783740 | + | 0.934025i | ||||
\(746\) | 0.481047i | 0.0176124i | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 30.0195 | + | 17.3318i | 1.09762 | + | 0.633712i | ||||
\(749\) | 8.46761 | + | 2.53260i | 0.309400 | + | 0.0925391i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −8.89746 | + | 7.46586i | −0.324673 | + | 0.272433i | −0.790525 | − | 0.612430i | \(-0.790192\pi\) |
0.465852 | + | 0.884863i | \(0.345748\pi\) | |||||||
\(752\) | 1.14472 | + | 6.49202i | 0.0417436 | + | 0.236740i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −0.354883 | + | 0.422933i | −0.0129241 | + | 0.0154023i | ||||
\(755\) | −31.4764 | −1.14554 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 25.0813 | 0.911595 | 0.455798 | − | 0.890083i | \(-0.349354\pi\) | ||||
0.455798 | + | 0.890083i | \(0.349354\pi\) | |||||||
\(758\) | −0.0825471 | + | 0.0983759i | −0.00299825 | + | 0.00357317i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.0250534 | + | 0.142085i | 0.000908784 | + | 0.00515397i | ||||
\(761\) | 19.9698 | − | 16.7566i | 0.723904 | − | 0.607428i | −0.204558 | − | 0.978854i | \(-0.565576\pi\) |
0.928462 | + | 0.371427i | \(0.121131\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 9.91533 | − | 2.35274i | 0.358959 | − | 0.0851751i | ||||
\(764\) | −17.0277 | − | 9.83096i | −0.616041 | − | 0.355672i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | − | 0.181308i | − | 0.00655091i | ||||||
\(767\) | 33.1967 | − | 39.5623i | 1.19866 | − | 1.42851i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −3.57920 | + | 9.83378i | −0.129069 | + | 0.354615i | −0.987348 | − | 0.158569i | \(-0.949312\pi\) |
0.858279 | + | 0.513184i | \(0.171534\pi\) | |||||||
\(770\) | 0.0174359 | + | 0.298006i | 0.000628347 | + | 0.0107394i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −36.6663 | + | 13.3455i | −1.31965 | + | 0.480314i | ||||
\(773\) | −28.1877 | −1.01384 | −0.506921 | − | 0.861993i | \(-0.669216\pi\) | ||||
−0.506921 | + | 0.861993i | \(0.669216\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | − | 19.2539i | − | 0.691620i | ||||||
\(776\) | −0.0727022 | − | 0.0610044i | −0.00260986 | − | 0.00218993i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0.0833881 | + | 0.472917i | 0.00298961 | + | 0.0169549i | ||||
\(779\) | −2.12518 | + | 5.83889i | −0.0761426 | + | 0.209200i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 6.14069 | − | 34.8256i | 0.219731 | − | 1.24616i | ||||
\(782\) | −0.209295 | − | 0.362510i | −0.00748439 | − | 0.0129633i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −8.04199 | − | 26.8105i | −0.287214 | − | 0.957518i | ||||
\(785\) | 8.94204 | + | 24.5680i | 0.319155 | + | 0.876871i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −34.6191 | + | 6.10428i | −1.23404 | + | 0.217594i | −0.752359 | − | 0.658754i | \(-0.771084\pi\) |
−0.481679 | + | 0.876348i | \(0.659973\pi\) | |||||||
\(788\) | −2.95958 | + | 8.13139i | −0.105431 | + | 0.289669i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0.0251711 | − | 0.0299978i | 0.000895548 | − | 0.00106727i | ||||
\(791\) | −9.75722 | − | 7.25997i | −0.346927 | − | 0.258135i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 6.71836 | − | 11.6365i | 0.238576 | − | 0.413226i | ||||
\(794\) | 0.132198 | + | 0.110927i | 0.00469153 | + | 0.00393666i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −3.34028 | + | 0.588981i | −0.118393 | + | 0.0208759i | ||||
\(797\) | −3.03842 | − | 1.10589i | −0.107626 | − | 0.0391728i | 0.287646 | − | 0.957737i | \(-0.407127\pi\) |
−0.395272 | + | 0.918564i | \(0.629350\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −1.08043 | + | 6.12744i | −0.0382229 | + | 0.216773i | ||||
\(800\) | 0.355412 | + | 0.205197i | 0.0125657 | + | 0.00725482i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0.000772030 | 0.00133719i | 2.72613e−5 | 4.72180e-5i | ||||||
\(803\) | −12.6234 | + | 71.5910i | −0.445471 | + | 2.52639i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −14.5125 | + | 28.9159i | −0.511499 | + | 1.01915i | ||||
\(806\) | −0.360063 | − | 0.429107i | −0.0126827 | − | 0.0151146i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0.135891 | + | 0.0239612i | 0.00478061 | + | 0.000842951i | ||||
\(809\) | −6.10355 | − | 3.52388i | −0.214589 | − | 0.123893i | 0.388853 | − | 0.921300i | \(-0.372871\pi\) |
−0.603442 | + | 0.797407i | \(0.706205\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 27.1164i | 0.952186i | 0.879395 | + | 0.476093i | \(0.157947\pi\) | ||||
−0.879395 | + | 0.476093i | \(0.842053\pi\) | |||||||
\(812\) | −41.9796 | − | 12.5558i | −1.47320 | − | 0.440621i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −0.0511925 | − | 0.0186325i | −0.00179429 | − | 0.000653070i | ||||
\(815\) | −26.9676 | − | 9.81540i | −0.944634 | − | 0.343819i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −2.52495 | − | 0.445217i | −0.0883369 | − | 0.0155762i | ||||
\(818\) | 0.0271086 | − | 0.0469534i | 0.000947829 | − | 0.00164169i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −6.96375 | − | 12.0616i | −0.243185 | − | 0.421208i | ||||
\(821\) | 13.1798 | + | 36.2112i | 0.459978 | + | 1.26378i | 0.925502 | + | 0.378743i | \(0.123644\pi\) |
−0.465524 | + | 0.885035i | \(0.654134\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 24.4459 | − | 20.5125i | 0.852130 | − | 0.715022i | −0.108128 | − | 0.994137i | \(-0.534486\pi\) |
0.960258 | + | 0.279115i | \(0.0900412\pi\) | |||||||
\(824\) | 0.00567026 | + | 0.0321576i | 0.000197533 | + | 0.00112026i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −0.437535 | − | 0.130863i | −0.0152238 | − | 0.00455331i | ||||
\(827\) | −19.5503 | + | 11.2874i | −0.679831 | + | 0.392501i | −0.799791 | − | 0.600278i | \(-0.795057\pi\) |
0.119960 | + | 0.992779i | \(0.461723\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −28.8216 | + | 16.6401i | −1.00101 | + | 0.577936i | −0.908548 | − | 0.417780i | \(-0.862808\pi\) |
−0.0924662 | + | 0.995716i | \(0.529475\pi\) | |||||||
\(830\) | −0.0412795 | − | 0.113415i | −0.00143283 | − | 0.00393668i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −35.1628 | + | 6.20014i | −1.21905 | + | 0.214951i | ||||
\(833\) | 1.52217 | − | 26.3748i | 0.0527399 | − | 0.913834i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 11.9298 | + | 10.0103i | 0.412849 | + | 0.346422i | ||||
\(836\) | 6.74295 | − | 11.6791i | 0.233210 | − | 0.403931i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0.513663 | − | 0.296564i | 0.0177442 | − | 0.0102446i | ||||
\(839\) | 28.7046 | − | 10.4476i | 0.990993 | − | 0.360692i | 0.204888 | − | 0.978785i | \(-0.434317\pi\) |
0.786105 | + | 0.618093i | \(0.212095\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −30.3234 | + | 25.4443i | −1.04563 | + | 0.877391i | ||||
\(842\) | −0.0806126 | − | 0.0960703i | −0.00277809 | − | 0.00331080i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −11.3246 | + | 4.12183i | −0.389810 | + | 0.141879i | ||||
\(845\) | 11.4321 | 0.393275 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 15.9418 | − | 21.4254i | 0.547768 | − | 0.736187i | ||||
\(848\) | −16.6828 | − | 2.94163i | −0.572890 | − | 0.101016i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0.0829786 | + | 0.0988901i | 0.00284614 | + | 0.00339190i | ||||
\(851\) | −3.79525 | − | 4.52301i | −0.130100 | − | 0.155047i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 39.5220 | + | 6.96880i | 1.35321 | + | 0.238607i | 0.802780 | − | 0.596275i | \(-0.203353\pi\) |
0.550429 | + | 0.834882i | \(0.314464\pi\) | |||||||
\(854\) | −0.118019 | − | 0.0137628i | −0.00403851 | − | 0.000470952i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −0.199446 | −0.00681693 | ||||||||
\(857\) | −28.0069 | + | 10.1937i | −0.956698 | + | 0.348209i | −0.772739 | − | 0.634724i | \(-0.781114\pi\) |
−0.183959 | + | 0.982934i | \(0.558891\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 31.5023 | + | 37.5429i | 1.07484 | + | 1.28095i | 0.957680 | + | 0.287835i | \(0.0929356\pi\) |
0.117163 | + | 0.993113i | \(0.462620\pi\) | |||||||
\(860\) | 4.40234 | − | 3.69401i | 0.150119 | − | 0.125965i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −0.0721165 | + | 0.0262483i | −0.00245630 | + | 0.000894019i | ||||
\(863\) | −16.1553 | + | 9.32725i | −0.549932 | + | 0.317503i | −0.749095 | − | 0.662463i | \(-0.769511\pi\) |
0.199163 | + | 0.979966i | \(0.436178\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 1.25066 | − | 2.16620i | 0.0425236 | − | 0.0736530i | ||||
\(866\) | 0.223995 | + | 0.187954i | 0.00761165 | + | 0.00638693i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 19.9416 | − | 39.7332i | 0.676863 | − | 1.34863i | ||||
\(869\) | −7.20980 | + | 1.27128i | −0.244576 | + | 0.0431253i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 16.5632 | + | 45.5070i | 0.561222 | + | 1.54195i | ||||
\(872\) | −0.199155 | + | 0.114982i | −0.00674424 | + | 0.00389379i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −0.141035 | + | 0.0814267i | −0.00477059 | + | 0.00275430i | ||||
\(875\) | 9.09770 | − | 30.4177i | 0.307558 | − | 1.02831i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −0.106352 | − | 0.603150i | −0.00359124 | − | 0.0203669i | 0.982959 | − | 0.183822i | \(-0.0588471\pi\) |
−0.986551 | + | 0.163455i | \(0.947736\pi\) | |||||||
\(878\) | 0.367894 | − | 0.308700i | 0.0124158 | − | 0.0104181i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 10.3374 | + | 28.4018i | 0.348474 | + | 0.957424i | ||||
\(881\) | 24.2819 | + | 42.0575i | 0.818079 | + | 1.41695i | 0.907096 | + | 0.420924i | \(0.138294\pi\) |
−0.0890174 | + | 0.996030i | \(0.528373\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −10.4471 | + | 18.0949i | −0.351573 | + | 0.608943i | −0.986525 | − | 0.163609i | \(-0.947686\pi\) |
0.634952 | + | 0.772551i | \(0.281020\pi\) | |||||||
\(884\) | −33.1955 | − | 5.85326i | −1.11648 | − | 0.196866i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −0.325154 | − | 0.118346i | −0.0109238 | − | 0.00397592i | ||||
\(887\) | −10.6701 | − | 3.88359i | −0.358266 | − | 0.130398i | 0.156615 | − | 0.987660i | \(-0.449942\pi\) |
−0.514881 | + | 0.857261i | \(0.672164\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 13.5511 | − | 3.21545i | 0.454488 | − | 0.107843i | ||||
\(890\) | − | 0.176510i | − | 0.00591664i | ||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −1.59005 | − | 0.918014i | −0.0532387 | − | 0.0307374i | ||||
\(893\) | 2.38389 | + | 0.420344i | 0.0797738 | + | 0.0140663i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 9.09083 | + | 10.8340i | 0.303873 | + | 0.362142i | ||||
\(896\) | 0.694545 | + | 1.05540i | 0.0232031 | + | 0.0352583i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −0.0489497 | + | 0.277608i | −0.00163347 | + | 0.00926389i | ||||
\(899\) | −34.7928 | − | 60.2629i | −1.16040 | − | 2.00988i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −13.8467 | − | 7.99441i | −0.461301 | − | 0.266332i | ||||
\(902\) | 0.0503784 | − | 0.285710i | 0.00167742 | − | 0.00951310i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0.257896 | + | 0.0938665i | 0.00857750 | + | 0.00312195i | ||||
\(905\) | 17.1954 | − | 3.03201i | 0.571594 | − | 0.100787i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 31.2356 | + | 26.2098i | 1.03716 | + | 0.870281i | 0.991686 | − | 0.128685i | \(-0.0410755\pi\) |
0.0454747 | + | 0.998965i | \(0.485520\pi\) | |||||||
\(908\) | −13.3270 | + | 23.0831i | −0.442272 | + | 0.766038i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.115046 | − | 0.266512i | −0.00381373 | − | 0.00883479i | ||||
\(911\) | 22.9670 | − | 27.3710i | 0.760931 | − | 0.906843i | −0.236975 | − | 0.971516i | \(-0.576156\pi\) |
0.997907 | + | 0.0646730i | \(0.0206004\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −7.71741 | + | 21.2034i | −0.255409 | + | 0.701730i | ||||
\(914\) | 0.270587 | − | 0.0477117i | 0.00895021 | − | 0.00157816i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 8.42357 | + | 23.1436i | 0.278323 | + | 0.764685i | ||||
\(917\) | 15.8720 | + | 36.7688i | 0.524141 | + | 1.21421i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −13.2691 | − | 22.9827i | −0.437706 | − | 0.758129i | 0.559806 | − | 0.828624i | \(-0.310876\pi\) |
−0.997512 | + | 0.0704945i | \(0.977542\pi\) | |||||||
\(920\) | 0.126780 | − | 0.719003i | 0.00417980 | − | 0.0237048i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −0.0818693 | + | 0.224934i | −0.00269622 | + | 0.00740781i | ||||
\(923\) | 5.97134 | + | 33.8652i | 0.196549 | + | 1.11469i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 1.39488 | + | 1.17044i | 0.0458633 | + | 0.0384839i | ||||
\(926\) | 0.540363i | 0.0177574i | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 1.48321 | 0.0486887 | ||||||||
\(929\) | 11.5826 | − | 4.21571i | 0.380011 | − | 0.138313i | −0.144950 | − | 0.989439i | \(-0.546302\pi\) |
0.524961 | + | 0.851126i | \(0.324080\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −10.2612 | − | 0.592201i | −0.336296 | − | 0.0194086i | ||||
\(932\) | 17.0550 | − | 46.8581i | 0.558654 | − | 1.53489i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −0.104253 | + | 0.124244i | −0.00341126 | + | 0.00406538i | ||||
\(935\) | 28.5272i | 0.932938i | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −32.0189 | − | 18.4861i | −1.04601 | − | 0.603915i | −0.124481 | − | 0.992222i | \(-0.539727\pi\) |
−0.921530 | + | 0.388307i | \(0.873060\pi\) | |||||||
\(938\) | 0.311409 | − | 0.293955i | 0.0101679 | − | 0.00959798i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −4.15639 | + | 3.48763i | −0.135567 | + | 0.113754i | ||||
\(941\) | −7.49093 | − | 42.4832i | −0.244197 | − | 1.38491i | −0.822349 | − | 0.568983i | \(-0.807337\pi\) |
0.578152 | − | 0.815929i | \(-0.303774\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 20.2113 | − | 24.0869i | 0.658171 | − | 0.784377i | ||||
\(944\) | −46.2392 | −1.50496 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0.119710 | 0.00389211 | ||||||||
\(947\) | −21.1385 | + | 25.1919i | −0.686909 | + | 0.818626i | −0.990978 | − | 0.134024i | \(-0.957210\pi\) |
0.304069 | + | 0.952650i | \(0.401655\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −12.2753 | − | 69.6166i | −0.398473 | − | 2.25985i | ||||
\(950\) | 0.0384733 | − | 0.0322830i | 0.00124824 | − | 0.00104740i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0.137640 | + | 0.580066i | 0.00446094 | + | 0.0188000i | ||||
\(953\) | −39.0374 | − | 22.5383i | −1.26455 | − | 0.730086i | −0.290595 | − | 0.956846i | \(-0.593853\pi\) |
−0.973951 | + | 0.226760i | \(0.927187\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | − | 16.1812i | − | 0.523613i | ||||||
\(956\) | 14.6954 | − | 17.5133i | 0.475284 | − | 0.566421i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0.0629322 | − | 0.172905i | 0.00203325 | − | 0.00558630i | ||||
\(959\) | −5.19608 | − | 7.89570i | −0.167790 | − | 0.254965i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 37.2131 | − | 13.5445i | 1.20042 | − | 0.436918i | ||||
\(962\) | 0.0529755 | 0.00170800 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | − | 12.3033i | − | 0.396262i | ||||||
\(965\) | −24.5992 | − | 20.6412i | −0.791878 | − | 0.664464i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 0.795684 | + | 4.51255i | 0.0255875 | + | 0.145114i | 0.994925 | − | 0.100619i | \(-0.0320824\pi\) |
−0.969338 | + | 0.245733i | \(0.920971\pi\) | |||||||
\(968\) | −0.206117 | + | 0.566303i | −0.00662486 | + | 0.0182017i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0.00678103 | − | 0.0384572i | 0.000217726 | − | 0.00123478i | ||||
\(971\) | 8.12033 | + | 14.0648i | 0.260594 | + | 0.451362i | 0.966400 | − | 0.257043i | \(-0.0827483\pi\) |
−0.705806 | + | 0.708405i | \(0.749415\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 1.86560 | − | 15.9979i | 0.0598085 | − | 0.512871i | ||||
\(974\) | 0.0986861 | + | 0.271138i | 0.00316211 | + | 0.00868782i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −11.8475 | + | 2.08904i | −0.379230 | + | 0.0668685i | ||||
\(977\) | −2.94829 | + | 8.10036i | −0.0943241 | + | 0.259153i | −0.977878 | − | 0.209176i | \(-0.932922\pi\) |
0.883554 | + | 0.468330i | \(0.155144\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −21.2117 | + | 25.2791i | −0.677927 | + | 0.807922i | ||||
\(980\) | 15.8009 | − | 16.7657i | 0.504740 | − | 0.535560i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −0.248463 | + | 0.430351i | −0.00792878 | + | 0.0137331i | ||||
\(983\) | 17.4896 | + | 14.6755i | 0.557831 | + | 0.468076i | 0.877583 | − | 0.479425i | \(-0.159155\pi\) |
−0.319751 | + | 0.947501i | \(0.603599\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −7.01321 | + | 1.23662i | −0.223459 | + | 0.0394019i | ||||
\(986\) | 0.438415 | + | 0.159570i | 0.0139620 | + | 0.00508174i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −2.27722 | + | 12.9147i | −0.0724480 | + | 0.410873i | ||||
\(989\) | 11.2361 | + | 6.48715i | 0.357286 | + | 0.206279i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 7.45798 | + | 12.9176i | 0.236910 | + | 0.410341i | 0.959826 | − | 0.280595i | \(-0.0905319\pi\) |
−0.722916 | + | 0.690936i | \(0.757199\pi\) | |||||||
\(992\) | −0.261316 | + | 1.48200i | −0.00829680 | + | 0.0470535i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0.254013 | − | 0.167163i | 0.00805681 | − | 0.00530210i | ||||
\(995\) | −1.79426 | − | 2.13831i | −0.0568818 | − | 0.0677891i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −2.28470 | − | 0.402855i | −0.0723573 | − | 0.0127585i | 0.137352 | − | 0.990522i | \(-0.456141\pi\) |
−0.209710 | + | 0.977764i | \(0.567252\pi\) | |||||||
\(998\) | 0.260252 | + | 0.150256i | 0.00823812 | + | 0.00475628i | ||||
\(999\) | 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 | 567.2.ba.a.143.11 | 132 | ||
3.2 | odd | 2 | 189.2.ba.a.101.12 | ✓ | 132 | ||
7.5 | odd | 6 | 567.2.bd.a.467.12 | 132 | |||
21.5 | even | 6 | 189.2.bd.a.47.11 | yes | 132 | ||
27.4 | even | 9 | 189.2.bd.a.185.11 | yes | 132 | ||
27.23 | odd | 18 | 567.2.bd.a.17.12 | 132 | |||
189.131 | even | 18 | inner | 567.2.ba.a.341.11 | 132 | ||
189.166 | odd | 18 | 189.2.ba.a.131.12 | yes | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.ba.a.101.12 | ✓ | 132 | 3.2 | odd | 2 | ||
189.2.ba.a.131.12 | yes | 132 | 189.166 | odd | 18 | ||
189.2.bd.a.47.11 | yes | 132 | 21.5 | even | 6 | ||
189.2.bd.a.185.11 | yes | 132 | 27.4 | even | 9 | ||
567.2.ba.a.143.11 | 132 | 1.1 | even | 1 | trivial | ||
567.2.ba.a.341.11 | 132 | 189.131 | even | 18 | inner | ||
567.2.bd.a.17.12 | 132 | 27.23 | odd | 18 | |||
567.2.bd.a.467.12 | 132 | 7.5 | odd | 6 |