Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,2,Mod(46,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.46");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.h (of order \(5\), 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: | \(1.79663404548\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{5})\) |
Coefficient field: | 16.0.1130304400000000000000.3 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 5x^{14} + 5x^{12} - 10x^{10} + 205x^{8} - 700x^{6} + 1250x^{4} - 1250x^{2} + 625 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 5^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 46.1 | ||
Root | \(1.85090 - 0.438393i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 225.46 |
Dual form | 225.2.h.e.181.1 |
$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.670386 | + | 2.06324i | −0.474035 | + | 1.45893i | 0.373221 | + | 0.927743i | \(0.378253\pi\) |
−0.847255 | + | 0.531186i | \(0.821747\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −2.18949 | − | 1.59076i | −1.09475 | − | 0.795380i | ||||
\(5\) | 1.69588 | + | 1.45739i | 0.758420 | + | 0.651766i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −3.32440 | −1.25650 | −0.628252 | − | 0.778010i | \(-0.716229\pi\) | ||||
−0.628252 | + | 0.778010i | \(0.716229\pi\) | |||||||
\(8\) | 1.23973 | − | 0.900718i | 0.438311 | − | 0.318452i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −4.14384 | + | 2.52199i | −1.31040 | + | 0.797522i | ||||
\(11\) | −1.18052 | + | 3.63326i | −0.355940 | + | 1.09547i | 0.599523 | + | 0.800357i | \(0.295357\pi\) |
−0.955463 | + | 0.295112i | \(0.904643\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.819443 | + | 2.52199i | 0.227273 | + | 0.699473i | 0.998053 | + | 0.0623720i | \(0.0198665\pi\) |
−0.770780 | + | 0.637101i | \(0.780133\pi\) | |||||||
\(14\) | 2.22863 | − | 6.85902i | 0.595626 | − | 1.83315i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.645329 | − | 1.98612i | −0.161332 | − | 0.496530i | ||||
\(17\) | −3.82870 | + | 2.78171i | −0.928596 | + | 0.674664i | −0.945649 | − | 0.325190i | \(-0.894572\pi\) |
0.0170528 | + | 0.999855i | \(0.494572\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.95435 | − | 2.14646i | 0.677773 | − | 0.492431i | −0.194845 | − | 0.980834i | \(-0.562420\pi\) |
0.872618 | + | 0.488403i | \(0.162420\pi\) | |||||||
\(20\) | −1.39476 | − | 5.88869i | −0.311877 | − | 1.31675i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −6.70487 | − | 4.87137i | −1.42948 | − | 1.03858i | ||||
\(23\) | 1.11807 | − | 3.44107i | 0.233134 | − | 0.717513i | −0.764229 | − | 0.644944i | \(-0.776880\pi\) |
0.997363 | − | 0.0725682i | \(-0.0231195\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.752016 | + | 4.94312i | 0.150403 | + | 0.988625i | ||||
\(26\) | −5.75280 | −1.12822 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 7.27874 | + | 5.28832i | 1.37555 | + | 0.999398i | ||||
\(29\) | −0.0281335 | − | 0.0204402i | −0.00522426 | − | 0.00379565i | 0.585170 | − | 0.810911i | \(-0.301028\pi\) |
−0.590394 | + | 0.807115i | \(0.701028\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 8.17609 | − | 5.94028i | 1.46847 | − | 1.06690i | 0.487415 | − | 0.873171i | \(-0.337940\pi\) |
0.981054 | − | 0.193734i | \(-0.0620599\pi\) | |||||||
\(32\) | 7.59524 | 1.34266 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −3.17262 | − | 9.76433i | −0.544100 | − | 1.67457i | ||||
\(35\) | −5.63778 | − | 4.84495i | −0.952958 | − | 0.818946i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.23366 | + | 9.95217i | 0.531610 | + | 1.63613i | 0.750862 | + | 0.660459i | \(0.229638\pi\) |
−0.219252 | + | 0.975668i | \(0.570362\pi\) | |||||||
\(38\) | 2.44810 | + | 7.53447i | 0.397134 | + | 1.22225i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 3.41514 | + | 0.279266i | 0.539980 | + | 0.0441559i | ||||
\(41\) | 0.589966 | + | 1.81573i | 0.0921371 | + | 0.283569i | 0.986497 | − | 0.163779i | \(-0.0523685\pi\) |
−0.894360 | + | 0.447348i | \(0.852368\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.27279 | −0.346597 | −0.173298 | − | 0.984869i | \(-0.555442\pi\) | ||||
−0.173298 | + | 0.984869i | \(0.555442\pi\) | |||||||
\(44\) | 8.36438 | − | 6.07708i | 1.26098 | − | 0.916154i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 6.35020 | + | 4.61369i | 0.936286 | + | 0.680252i | ||||
\(47\) | −1.19421 | − | 0.867645i | −0.174194 | − | 0.126559i | 0.497272 | − | 0.867595i | \(-0.334335\pi\) |
−0.671466 | + | 0.741036i | \(0.734335\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.05161 | 0.578801 | ||||||||
\(50\) | −10.7030 | − | 1.76221i | −1.51363 | − | 0.249215i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.21771 | − | 6.82541i | 0.307541 | − | 0.946513i | ||||
\(53\) | 7.22046 | + | 5.24597i | 0.991806 | + | 0.720589i | 0.960316 | − | 0.278915i | \(-0.0899747\pi\) |
0.0314903 | + | 0.999504i | \(0.489975\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −7.29710 | + | 4.44110i | −0.983941 | + | 0.598837i | ||||
\(56\) | −4.12136 | + | 2.99434i | −0.550740 | + | 0.400136i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.0610333 | − | 0.0443433i | 0.00801406 | − | 0.00582256i | ||||
\(59\) | 3.83193 | + | 11.7935i | 0.498875 | + | 1.53538i | 0.810830 | + | 0.585282i | \(0.199016\pi\) |
−0.311955 | + | 0.950097i | \(0.600984\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.59967 | + | 4.92329i | −0.204817 | + | 0.630363i | 0.794903 | + | 0.606736i | \(0.207521\pi\) |
−0.999721 | + | 0.0236271i | \(0.992479\pi\) | |||||||
\(62\) | 6.77506 | + | 20.8515i | 0.860433 | + | 2.64814i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −3.80108 | + | 11.6985i | −0.475135 | + | 1.46232i | ||||
\(65\) | −2.28585 | + | 5.47123i | −0.283524 | + | 0.678623i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.39437 | − | 3.19269i | 0.536857 | − | 0.390050i | −0.286059 | − | 0.958212i | \(-0.592345\pi\) |
0.822916 | + | 0.568162i | \(0.192345\pi\) | |||||||
\(68\) | 12.8079 | 1.55319 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 13.7758 | − | 8.38408i | 1.64652 | − | 1.00209i | ||||
\(71\) | −9.80619 | − | 7.12462i | −1.16378 | − | 0.845536i | −0.173530 | − | 0.984829i | \(-0.555517\pi\) |
−0.990251 | + | 0.139292i | \(0.955517\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.78817 | − | 11.6588i | 0.443371 | − | 1.36456i | −0.440889 | − | 0.897562i | \(-0.645337\pi\) |
0.884260 | − | 0.466995i | \(-0.154663\pi\) | |||||||
\(74\) | −22.7015 | −2.63899 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −9.88302 | −1.13366 | ||||||||
\(77\) | 3.92451 | − | 12.0784i | 0.447239 | − | 1.37646i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 5.86453 | + | 4.26083i | 0.659811 | + | 0.479381i | 0.866599 | − | 0.499005i | \(-0.166301\pi\) |
−0.206788 | + | 0.978386i | \(0.566301\pi\) | |||||||
\(80\) | 1.80015 | − | 4.30871i | 0.201263 | − | 0.481729i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −4.14178 | −0.457383 | ||||||||
\(83\) | 4.55307 | − | 3.30800i | 0.499764 | − | 0.363100i | −0.309163 | − | 0.951009i | \(-0.600049\pi\) |
0.808927 | + | 0.587909i | \(0.200049\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −10.5471 | − | 0.862466i | −1.14399 | − | 0.0935475i | ||||
\(86\) | 1.52364 | − | 4.68930i | 0.164299 | − | 0.505660i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.80902 | + | 5.56758i | 0.192842 | + | 0.593506i | ||||
\(89\) | 5.50537 | − | 16.9438i | 0.583568 | − | 1.79604i | −0.0213784 | − | 0.999771i | \(-0.506805\pi\) |
0.604946 | − | 0.796266i | \(-0.293195\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.72415 | − | 8.38408i | −0.285569 | − | 0.878890i | ||||
\(92\) | −7.92192 | + | 5.75562i | −0.825918 | + | 0.600064i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 2.59074 | − | 1.88228i | 0.267214 | − | 0.194143i | ||||
\(95\) | 8.13845 | + | 0.665506i | 0.834987 | + | 0.0682795i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 6.69686 | + | 4.86555i | 0.679963 | + | 0.494022i | 0.873345 | − | 0.487102i | \(-0.161946\pi\) |
−0.193383 | + | 0.981123i | \(0.561946\pi\) | |||||||
\(98\) | −2.71614 | + | 8.35943i | −0.274372 | + | 0.844430i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 6.21679 | − | 12.0192i | 0.621679 | − | 1.20192i | ||||
\(101\) | 3.57692 | 0.355916 | 0.177958 | − | 0.984038i | \(-0.443051\pi\) | ||||
0.177958 | + | 0.984038i | \(0.443051\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −10.0800 | − | 7.32352i | −0.993208 | − | 0.721608i | −0.0325865 | − | 0.999469i | \(-0.510374\pi\) |
−0.960621 | + | 0.277861i | \(0.910374\pi\) | |||||||
\(104\) | 3.28749 | + | 2.38850i | 0.322365 | + | 0.234212i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −15.6642 | + | 11.3807i | −1.52144 | + | 1.10539i | ||||
\(107\) | −0.574861 | −0.0555740 | −0.0277870 | − | 0.999614i | \(-0.508846\pi\) | ||||
−0.0277870 | + | 0.999614i | \(0.508846\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 3.50801 | + | 10.7966i | 0.336007 | + | 1.03412i | 0.966224 | + | 0.257704i | \(0.0829659\pi\) |
−0.630217 | + | 0.776419i | \(0.717034\pi\) | |||||||
\(110\) | −4.27115 | − | 18.0329i | −0.407239 | − | 1.71937i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 2.14533 | + | 6.60264i | 0.202715 | + | 0.623891i | ||||
\(113\) | −5.33988 | − | 16.4345i | −0.502334 | − | 1.54603i | −0.805207 | − | 0.592994i | \(-0.797946\pi\) |
0.302873 | − | 0.953031i | \(-0.402054\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 6.91110 | − | 4.20617i | 0.644464 | − | 0.392228i | ||||
\(116\) | 0.0290827 | + | 0.0895073i | 0.00270026 | + | 0.00831055i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −26.9016 | −2.47649 | ||||||||
\(119\) | 12.7281 | − | 9.24751i | 1.16678 | − | 0.847718i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.90777 | − | 2.11262i | −0.264343 | − | 0.192056i | ||||
\(122\) | −9.08552 | − | 6.60101i | −0.822564 | − | 0.597628i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −27.3510 | −2.45620 | ||||||||
\(125\) | −5.92874 | + | 9.47893i | −0.530283 | + | 0.847821i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.93011 | + | 9.01796i | −0.260005 | + | 0.800214i | 0.732797 | + | 0.680448i | \(0.238215\pi\) |
−0.992802 | + | 0.119767i | \(0.961785\pi\) | |||||||
\(128\) | −9.29929 | − | 6.75633i | −0.821949 | − | 0.597181i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −9.75605 | − | 8.38408i | −0.855662 | − | 0.735332i | ||||
\(131\) | −7.79027 | + | 5.65996i | −0.680639 | + | 0.494513i | −0.873570 | − | 0.486699i | \(-0.838201\pi\) |
0.192931 | + | 0.981212i | \(0.438201\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −9.82142 | + | 7.13568i | −0.851625 | + | 0.618742i | ||||
\(134\) | 3.64136 | + | 11.2070i | 0.314566 | + | 0.968133i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −2.24102 | + | 6.89715i | −0.192166 | + | 0.591426i | ||||
\(137\) | 0.440172 | + | 1.35471i | 0.0376064 | + | 0.115741i | 0.968097 | − | 0.250574i | \(-0.0806194\pi\) |
−0.930491 | + | 0.366315i | \(0.880619\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.508854 | + | 1.56609i | −0.0431605 | + | 0.132834i | −0.970315 | − | 0.241845i | \(-0.922247\pi\) |
0.927154 | + | 0.374680i | \(0.122247\pi\) | |||||||
\(140\) | 4.63672 | + | 19.5763i | 0.391874 | + | 1.65450i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 21.2737 | − | 15.4562i | 1.78525 | − | 1.29706i | ||||
\(143\) | −10.1304 | −0.847146 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.0179217 | − | 0.0756657i | −0.00148831 | − | 0.00628369i | ||||
\(146\) | 21.5153 | + | 15.6318i | 1.78062 | + | 1.29369i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 8.75145 | − | 26.9342i | 0.719365 | − | 2.21398i | ||||
\(149\) | −9.87569 | −0.809048 | −0.404524 | − | 0.914527i | \(-0.632563\pi\) | ||||
−0.404524 | + | 0.914527i | \(0.632563\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −11.6003 | −0.944021 | −0.472011 | − | 0.881593i | \(-0.656472\pi\) | ||||
−0.472011 | + | 0.881593i | \(0.656472\pi\) | |||||||
\(152\) | 1.72924 | − | 5.32206i | 0.140260 | − | 0.431676i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 22.2897 | + | 16.1944i | 1.79615 | + | 1.30498i | ||||
\(155\) | 22.5230 | + | 1.84177i | 1.80909 | + | 0.147935i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 5.64993 | 0.450914 | 0.225457 | − | 0.974253i | \(-0.427613\pi\) | ||||
0.225457 | + | 0.974253i | \(0.427613\pi\) | |||||||
\(158\) | −12.7226 | + | 9.24351i | −1.01216 | + | 0.735374i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 12.8806 | + | 11.0692i | 1.01830 | + | 0.875100i | ||||
\(161\) | −3.71691 | + | 11.4395i | −0.292934 | + | 0.901557i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.75451 | − | 11.5552i | −0.294076 | − | 0.905072i | −0.983530 | − | 0.180743i | \(-0.942150\pi\) |
0.689455 | − | 0.724329i | \(-0.257850\pi\) | |||||||
\(164\) | 1.59666 | − | 4.91402i | 0.124678 | − | 0.383720i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.77287 | + | 11.6117i | 0.292831 | + | 0.901242i | ||||
\(167\) | −7.99263 | + | 5.80699i | −0.618488 | + | 0.449358i | −0.852393 | − | 0.522901i | \(-0.824850\pi\) |
0.233905 | + | 0.972260i | \(0.424850\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 4.82830 | − | 3.50796i | 0.371407 | − | 0.269843i | ||||
\(170\) | 8.85007 | − | 21.1829i | 0.678770 | − | 1.62465i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 4.97625 | + | 3.61546i | 0.379435 | + | 0.275676i | ||||
\(173\) | 0.0578028 | − | 0.177899i | 0.00439467 | − | 0.0135254i | −0.948835 | − | 0.315772i | \(-0.897737\pi\) |
0.953230 | + | 0.302246i | \(0.0977366\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.50000 | − | 16.4329i | −0.188982 | − | 1.24221i | ||||
\(176\) | 7.97791 | 0.601357 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 31.2683 | + | 22.7178i | 2.34366 | + | 1.70277i | ||||
\(179\) | 12.8779 | + | 9.35635i | 0.962540 | + | 0.699326i | 0.953739 | − | 0.300635i | \(-0.0971986\pi\) |
0.00880060 | + | 0.999961i | \(0.497199\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 10.7058 | − | 7.77821i | 0.795755 | − | 0.578150i | −0.113910 | − | 0.993491i | \(-0.536338\pi\) |
0.909666 | + | 0.415341i | \(0.136338\pi\) | |||||||
\(182\) | 19.1246 | 1.41761 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.71332 | − | 5.27307i | −0.126308 | − | 0.388736i | ||||
\(185\) | −9.02033 | + | 21.5904i | −0.663188 | + | 1.58736i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −5.58684 | − | 17.1945i | −0.408550 | − | 1.25739i | ||||
\(188\) | 1.23450 | + | 3.79941i | 0.0900353 | + | 0.277100i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −6.82900 | + | 16.3454i | −0.495428 | + | 1.18582i | ||||
\(191\) | −0.818073 | − | 2.51777i | −0.0591937 | − | 0.182179i | 0.917087 | − | 0.398686i | \(-0.130534\pi\) |
−0.976281 | + | 0.216507i | \(0.930534\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −8.29846 | −0.597336 | −0.298668 | − | 0.954357i | \(-0.596542\pi\) | ||||
−0.298668 | + | 0.954357i | \(0.596542\pi\) | |||||||
\(194\) | −14.5283 | + | 10.5554i | −1.04307 | + | 0.757834i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −8.87097 | − | 6.44514i | −0.633641 | − | 0.460367i | ||||
\(197\) | −16.8564 | − | 12.2469i | −1.20097 | − | 0.872555i | −0.206589 | − | 0.978428i | \(-0.566236\pi\) |
−0.994380 | + | 0.105873i | \(0.966236\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −3.31747 | −0.235169 | −0.117585 | − | 0.993063i | \(-0.537515\pi\) | ||||
−0.117585 | + | 0.993063i | \(0.537515\pi\) | |||||||
\(200\) | 5.38466 | + | 5.45079i | 0.380753 | + | 0.385429i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −2.39791 | + | 7.38002i | −0.168717 | + | 0.519256i | ||||
\(203\) | 0.0935269 | + | 0.0679513i | 0.00656430 | + | 0.00476925i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.64572 | + | 3.93907i | −0.114942 | + | 0.275116i | ||||
\(206\) | 21.8676 | − | 15.8878i | 1.52359 | − | 1.10695i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 4.48015 | − | 3.25502i | 0.310643 | − | 0.225695i | ||||
\(209\) | 4.31098 | + | 13.2678i | 0.298197 | + | 0.917756i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3.29924 | − | 10.1540i | 0.227129 | − | 0.699032i | −0.770939 | − | 0.636909i | \(-0.780213\pi\) |
0.998068 | − | 0.0621231i | \(-0.0197871\pi\) | |||||||
\(212\) | −7.46406 | − | 22.9720i | −0.512634 | − | 1.57773i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0.385379 | − | 1.18608i | 0.0263440 | − | 0.0810784i | ||||
\(215\) | −3.85437 | − | 3.31234i | −0.262866 | − | 0.225900i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −27.1806 | + | 19.7478i | −1.84514 | + | 1.34057i | ||||
\(218\) | −24.6276 | −1.66799 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 23.0417 | + | 1.88419i | 1.55347 | + | 0.127032i | ||||
\(221\) | −10.1528 | − | 7.37647i | −0.682954 | − | 0.496195i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 0.169512 | − | 0.521705i | 0.0113514 | − | 0.0349359i | −0.945220 | − | 0.326433i | \(-0.894153\pi\) |
0.956572 | + | 0.291497i | \(0.0941533\pi\) | |||||||
\(224\) | −25.2496 | −1.68706 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 37.4880 | 2.49366 | ||||||||
\(227\) | 1.13841 | − | 3.50365i | 0.0755586 | − | 0.232546i | −0.906143 | − | 0.422972i | \(-0.860987\pi\) |
0.981702 | + | 0.190426i | \(0.0609870\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1.39323 | + | 1.01224i | 0.0920673 | + | 0.0668908i | 0.632867 | − | 0.774261i | \(-0.281878\pi\) |
−0.540799 | + | 0.841152i | \(0.681878\pi\) | |||||||
\(230\) | 4.04522 | + | 17.0790i | 0.266734 | + | 1.12616i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.0532889 | −0.00349858 | ||||||||
\(233\) | 14.0037 | − | 10.1743i | 0.917412 | − | 0.666539i | −0.0254662 | − | 0.999676i | \(-0.508107\pi\) |
0.942879 | + | 0.333137i | \(0.108107\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.760739 | − | 3.21185i | −0.0496251 | − | 0.209518i | ||||
\(236\) | 10.3706 | − | 31.9174i | 0.675068 | − | 2.07765i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 10.5471 | + | 32.4605i | 0.683664 | + | 2.10410i | ||||
\(239\) | −3.14880 | + | 9.69101i | −0.203679 | + | 0.626860i | 0.796086 | + | 0.605183i | \(0.206900\pi\) |
−0.999765 | + | 0.0216761i | \(0.993100\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 3.71188 | + | 11.4240i | 0.239104 | + | 0.735885i | 0.996551 | + | 0.0829883i | \(0.0264464\pi\) |
−0.757447 | + | 0.652897i | \(0.773554\pi\) | |||||||
\(242\) | 6.30816 | − | 4.58315i | 0.405504 | − | 0.294616i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 11.3343 | − | 8.23482i | 0.725601 | − | 0.527180i | ||||
\(245\) | 6.87104 | + | 5.90478i | 0.438975 | + | 0.377243i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 7.83425 | + | 5.69192i | 0.498482 | + | 0.362168i | ||||
\(248\) | 4.78564 | − | 14.7287i | 0.303889 | − | 0.935273i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −15.5827 | − | 18.5869i | −0.985538 | − | 1.17554i | ||||
\(251\) | −8.68448 | −0.548159 | −0.274080 | − | 0.961707i | \(-0.588373\pi\) | ||||
−0.274080 | + | 0.961707i | \(0.588373\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 11.1824 | + | 8.12449i | 0.703031 | + | 0.510782i | ||||
\(254\) | −16.6419 | − | 12.0910i | −1.04420 | − | 0.758659i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.271296 | − | 0.197108i | 0.0169560 | − | 0.0123193i | ||||
\(257\) | 8.45069 | 0.527140 | 0.263570 | − | 0.964640i | \(-0.415100\pi\) | ||||
0.263570 | + | 0.964640i | \(0.415100\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −10.7500 | − | 33.0850i | −0.667970 | − | 2.05580i | ||||
\(260\) | 13.7083 | − | 8.34300i | 0.850150 | − | 0.517411i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −6.45535 | − | 19.8675i | −0.398813 | − | 1.22742i | ||||
\(263\) | 2.52357 | + | 7.76676i | 0.155610 | + | 0.478919i | 0.998222 | − | 0.0596022i | \(-0.0189832\pi\) |
−0.842612 | + | 0.538521i | \(0.818983\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 4.59959 | + | 19.4196i | 0.282551 | + | 1.19293i | ||||
\(266\) | −8.13845 | − | 25.0476i | −0.499000 | − | 1.53576i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −14.7002 | −0.897960 | ||||||||
\(269\) | −11.0322 | + | 8.01539i | −0.672647 | + | 0.488707i | −0.870910 | − | 0.491442i | \(-0.836470\pi\) |
0.198263 | + | 0.980149i | \(0.436470\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.872330 | + | 0.633785i | 0.0529902 | + | 0.0384997i | 0.613965 | − | 0.789333i | \(-0.289574\pi\) |
−0.560975 | + | 0.827833i | \(0.689574\pi\) | |||||||
\(272\) | 7.99558 | + | 5.80913i | 0.484803 | + | 0.352230i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3.09017 | −0.186684 | ||||||||
\(275\) | −18.8474 | − | 3.10317i | −1.13654 | − | 0.187128i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 5.45470 | − | 16.7878i | 0.327741 | − | 1.00868i | −0.642447 | − | 0.766330i | \(-0.722081\pi\) |
0.970188 | − | 0.242353i | \(-0.0779192\pi\) | |||||||
\(278\) | −2.89009 | − | 2.09977i | −0.173336 | − | 0.125936i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −11.3533 | − | 0.928391i | −0.678487 | − | 0.0554820i | ||||
\(281\) | 20.5184 | − | 14.9075i | 1.22402 | − | 0.889305i | 0.227596 | − | 0.973756i | \(-0.426913\pi\) |
0.996428 | + | 0.0844503i | \(0.0269134\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 8.81015 | − | 6.40095i | 0.523709 | − | 0.380497i | −0.294290 | − | 0.955716i | \(-0.595083\pi\) |
0.817999 | + | 0.575219i | \(0.195083\pi\) | |||||||
\(284\) | 10.1370 | + | 31.1986i | 0.601523 | + | 1.85130i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 6.79128 | − | 20.9014i | 0.401577 | − | 1.23593i | ||||
\(287\) | −1.96128 | − | 6.03620i | −0.115771 | − | 0.356305i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 1.66772 | − | 5.13272i | 0.0981012 | − | 0.301924i | ||||
\(290\) | 0.168131 | + | 0.0137486i | 0.00987297 | + | 0.000807343i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −26.8405 | + | 19.5007i | −1.57072 | + | 1.14119i | ||||
\(293\) | 8.22487 | 0.480502 | 0.240251 | − | 0.970711i | \(-0.422770\pi\) | ||||
0.240251 | + | 0.970711i | \(0.422770\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −10.6892 | + | 25.5849i | −0.622350 | + | 1.48961i | ||||
\(296\) | 12.9730 | + | 9.42541i | 0.754038 | + | 0.547841i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 6.62053 | − | 20.3759i | 0.383517 | − | 1.18034i | ||||
\(299\) | 9.59452 | 0.554866 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 7.55564 | 0.435500 | ||||||||
\(302\) | 7.77670 | − | 23.9342i | 0.447499 | − | 1.37726i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −6.16964 | − | 4.48251i | −0.353853 | − | 0.257089i | ||||
\(305\) | −9.88802 | + | 6.01796i | −0.566187 | + | 0.344587i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 6.38809 | 0.364587 | 0.182294 | − | 0.983244i | \(-0.441648\pi\) | ||||
0.182294 | + | 0.983244i | \(0.441648\pi\) | |||||||
\(308\) | −27.8065 | + | 20.2026i | −1.58442 | + | 1.15115i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −18.8991 | + | 45.2355i | −1.07340 | + | 2.56920i | ||||
\(311\) | −5.80554 | + | 17.8676i | −0.329202 | + | 1.01318i | 0.640306 | + | 0.768120i | \(0.278808\pi\) |
−0.969508 | + | 0.245060i | \(0.921192\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 6.73970 | + | 20.7427i | 0.380950 | + | 1.17244i | 0.939376 | + | 0.342890i | \(0.111406\pi\) |
−0.558425 | + | 0.829555i | \(0.688594\pi\) | |||||||
\(314\) | −3.78764 | + | 11.6571i | −0.213749 | + | 0.657851i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −6.06239 | − | 18.6581i | −0.341036 | − | 1.04960i | ||||
\(317\) | 8.90788 | − | 6.47195i | 0.500316 | − | 0.363501i | −0.308822 | − | 0.951120i | \(-0.599935\pi\) |
0.809138 | + | 0.587619i | \(0.199935\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.107477 | − | 0.0780864i | 0.00601754 | − | 0.00437200i | ||||
\(320\) | −23.4955 | + | 14.2996i | −1.31344 | + | 0.799374i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −21.1106 | − | 15.3377i | −1.17645 | − | 0.854739i | ||||
\(323\) | −5.34047 | + | 16.4363i | −0.297152 | + | 0.914539i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −11.8503 | + | 5.94718i | −0.657334 | + | 0.329890i | ||||
\(326\) | 26.3581 | 1.45984 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 2.36686 | + | 1.71962i | 0.130688 | + | 0.0949503i | ||||
\(329\) | 3.97003 | + | 2.88440i | 0.218875 | + | 0.159022i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −7.08443 | + | 5.14714i | −0.389395 | + | 0.282912i | −0.765208 | − | 0.643784i | \(-0.777364\pi\) |
0.375812 | + | 0.926696i | \(0.377364\pi\) | |||||||
\(332\) | −15.2311 | −0.835917 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −6.62304 | − | 20.3836i | −0.362396 | − | 1.11534i | ||||
\(335\) | 12.1053 | + | 0.989890i | 0.661384 | + | 0.0540834i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −9.42596 | − | 29.0101i | −0.513465 | − | 1.58028i | −0.786058 | − | 0.618153i | \(-0.787881\pi\) |
0.272593 | − | 0.962129i | \(-0.412119\pi\) | |||||||
\(338\) | 4.00093 | + | 12.3136i | 0.217622 | + | 0.669772i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 21.7207 | + | 18.6662i | 1.17797 | + | 1.01232i | ||||
\(341\) | 11.9305 | + | 36.7185i | 0.646075 | + | 1.98842i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 9.80162 | 0.529238 | ||||||||
\(344\) | −2.81765 | + | 2.04714i | −0.151917 | + | 0.110374i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.328297 | + | 0.238522i | 0.0176494 | + | 0.0128230i | ||||
\(347\) | −10.2956 | − | 7.48018i | −0.552696 | − | 0.401557i | 0.276083 | − | 0.961134i | \(-0.410964\pi\) |
−0.828778 | + | 0.559577i | \(0.810964\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −22.2817 | −1.19271 | −0.596357 | − | 0.802720i | \(-0.703386\pi\) | ||||
−0.596357 | + | 0.802720i | \(0.703386\pi\) | |||||||
\(350\) | 35.5809 | + | 5.85830i | 1.90188 | + | 0.313139i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −8.96631 | + | 27.5955i | −0.477906 | + | 1.47084i | ||||
\(353\) | −13.7602 | − | 9.99740i | −0.732384 | − | 0.532108i | 0.157933 | − | 0.987450i | \(-0.449517\pi\) |
−0.890317 | + | 0.455342i | \(0.849517\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −6.24676 | − | 26.3740i | −0.331544 | − | 1.39978i | ||||
\(356\) | −39.0075 | + | 28.3406i | −2.06739 | + | 1.50205i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −27.9375 | + | 20.2978i | −1.47654 | + | 1.07277i | ||||
\(359\) | −6.24572 | − | 19.2223i | −0.329636 | − | 1.01452i | −0.969304 | − | 0.245865i | \(-0.920928\pi\) |
0.639668 | − | 0.768651i | \(-0.279072\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −1.75044 | + | 5.38732i | −0.0921287 | + | 0.283543i | ||||
\(362\) | 8.87128 | + | 27.3030i | 0.466264 | + | 1.43501i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −7.37254 | + | 22.6904i | −0.386426 | + | 1.18930i | ||||
\(365\) | 23.4157 | − | 14.2510i | 1.22563 | − | 0.745933i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −11.7853 | + | 8.56250i | −0.615186 | + | 0.446959i | −0.851237 | − | 0.524782i | \(-0.824147\pi\) |
0.236051 | + | 0.971741i | \(0.424147\pi\) | |||||||
\(368\) | −7.55589 | −0.393878 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −38.4990 | − | 33.0850i | −2.00147 | − | 1.72001i | ||||
\(371\) | −24.0037 | − | 17.4397i | −1.24621 | − | 0.905423i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −1.75150 | + | 5.39055i | −0.0906891 | + | 0.279112i | −0.986106 | − | 0.166116i | \(-0.946877\pi\) |
0.895417 | + | 0.445228i | \(0.146877\pi\) | |||||||
\(374\) | 39.2217 | 2.02811 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −2.26200 | −0.116654 | ||||||||
\(377\) | 0.0284961 | − | 0.0877019i | 0.00146762 | − | 0.00451688i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −7.27243 | − | 5.28373i | −0.373560 | − | 0.271407i | 0.385126 | − | 0.922864i | \(-0.374158\pi\) |
−0.758685 | + | 0.651457i | \(0.774158\pi\) | |||||||
\(380\) | −16.7604 | − | 14.4034i | −0.859791 | − | 0.738881i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 5.74318 | 0.293847 | ||||||||
\(383\) | 18.7825 | − | 13.6463i | 0.959741 | − | 0.697292i | 0.00665004 | − | 0.999978i | \(-0.497883\pi\) |
0.953090 | + | 0.302686i | \(0.0978832\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 24.2585 | − | 14.7640i | 1.23633 | − | 0.752441i | ||||
\(386\) | 5.56317 | − | 17.1217i | 0.283158 | − | 0.871471i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −6.92280 | − | 21.3062i | −0.351452 | − | 1.08166i | ||||
\(389\) | −3.27362 | + | 10.0752i | −0.165979 | + | 0.510831i | −0.999107 | − | 0.0422493i | \(-0.986548\pi\) |
0.833128 | + | 0.553080i | \(0.186548\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 5.29131 | + | 16.2850i | 0.267593 | + | 0.823566i | ||||
\(392\) | 5.02291 | − | 3.64936i | 0.253695 | − | 0.184320i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 36.5685 | − | 26.5686i | 1.84230 | − | 1.33851i | ||||
\(395\) | 3.73584 | + | 15.7728i | 0.187970 | + | 0.793614i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 2.19339 | + | 1.59359i | 0.110083 | + | 0.0799802i | 0.641465 | − | 0.767152i | \(-0.278327\pi\) |
−0.531382 | + | 0.847133i | \(0.678327\pi\) | |||||||
\(398\) | 2.22399 | − | 6.84472i | 0.111478 | − | 0.343095i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 9.33233 | − | 4.68353i | 0.466616 | − | 0.234177i | ||||
\(401\) | 8.49932 | 0.424436 | 0.212218 | − | 0.977222i | \(-0.431931\pi\) | ||||
0.212218 | + | 0.977222i | \(0.431931\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 21.6811 | + | 15.7523i | 1.08001 | + | 0.784676i | ||||
\(404\) | −7.83163 | − | 5.69001i | −0.389638 | − | 0.283089i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.202899 | + | 0.147415i | −0.0100697 | + | 0.00731606i | ||||
\(407\) | −39.9762 | −1.98155 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 4.96087 | + | 15.2680i | 0.245299 | + | 0.754954i | 0.995587 | + | 0.0938422i | \(0.0299149\pi\) |
−0.750288 | + | 0.661111i | \(0.770085\pi\) | |||||||
\(410\) | −7.02396 | − | 6.03620i | −0.346889 | − | 0.298107i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 10.4200 | + | 32.0696i | 0.513358 | + | 1.57995i | ||||
\(413\) | −12.7389 | − | 39.2062i | −0.626838 | − | 1.92921i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 12.5425 | + | 1.02564i | 0.615687 | + | 0.0503467i | ||||
\(416\) | 6.22386 | + | 19.1551i | 0.305150 | + | 0.939155i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −30.2647 | −1.48030 | ||||||||
\(419\) | 22.0512 | − | 16.0212i | 1.07727 | − | 0.782685i | 0.100068 | − | 0.994981i | \(-0.468094\pi\) |
0.977205 | + | 0.212296i | \(0.0680941\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.42210 | − | 1.75976i | −0.118046 | − | 0.0857653i | 0.527196 | − | 0.849744i | \(-0.323243\pi\) |
−0.645242 | + | 0.763978i | \(0.723243\pi\) | |||||||
\(422\) | 18.7384 | + | 13.6142i | 0.912170 | + | 0.662730i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 13.6766 | 0.664193 | ||||||||
\(425\) | −16.6296 | − | 16.8338i | −0.806654 | − | 0.816561i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 5.31795 | − | 16.3670i | 0.257354 | − | 0.792053i | ||||
\(428\) | 1.25866 | + | 0.914466i | 0.0608394 | + | 0.0442024i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 9.41806 | − | 5.73193i | 0.454179 | − | 0.276418i | ||||
\(431\) | 27.7155 | − | 20.1365i | 1.33501 | − | 0.969940i | 0.335395 | − | 0.942077i | \(-0.391130\pi\) |
0.999612 | − | 0.0278621i | \(-0.00886992\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 8.32935 | − | 6.05163i | 0.400283 | − | 0.290823i | −0.369373 | − | 0.929281i | \(-0.620428\pi\) |
0.769656 | + | 0.638458i | \(0.220428\pi\) | |||||||
\(434\) | −22.5230 | − | 69.3186i | −1.08114 | − | 3.32740i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 9.49396 | − | 29.2194i | 0.454678 | − | 1.39936i | ||||
\(437\) | −4.08294 | − | 12.5660i | −0.195314 | − | 0.601113i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −12.1458 | + | 37.3810i | −0.579688 | + | 1.78410i | 0.0399418 | + | 0.999202i | \(0.487283\pi\) |
−0.619630 | + | 0.784894i | \(0.712717\pi\) | |||||||
\(440\) | −5.04627 | + | 12.0784i | −0.240572 | + | 0.575815i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 22.0257 | − | 16.0026i | 1.04766 | − | 0.761167i | ||||
\(443\) | 0.749909 | 0.0356293 | 0.0178146 | − | 0.999841i | \(-0.494329\pi\) | ||||
0.0178146 | + | 0.999841i | \(0.494329\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 34.0302 | − | 20.7111i | 1.61319 | − | 0.981802i | ||||
\(446\) | 0.962762 | + | 0.699487i | 0.0455881 | + | 0.0331217i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 12.6363 | − | 38.8906i | 0.597009 | − | 1.83741i | ||||
\(449\) | 6.79987 | 0.320906 | 0.160453 | − | 0.987043i | \(-0.448705\pi\) | ||||
0.160453 | + | 0.987043i | \(0.448705\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −7.29348 | −0.343436 | ||||||||
\(452\) | −14.4517 | + | 44.4776i | −0.679749 | + | 2.09205i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 6.46569 | + | 4.69760i | 0.303450 | + | 0.220469i | ||||
\(455\) | 7.59906 | − | 18.1885i | 0.356249 | − | 0.852692i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 17.4455 | 0.816065 | 0.408033 | − | 0.912967i | \(-0.366215\pi\) | ||||
0.408033 | + | 0.912967i | \(0.366215\pi\) | |||||||
\(458\) | −3.02250 | + | 2.19597i | −0.141232 | + | 0.102611i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −21.8228 | − | 1.78452i | −1.01749 | − | 0.0832037i | ||||
\(461\) | −11.8487 | + | 36.4666i | −0.551850 | + | 1.69842i | 0.152271 | + | 0.988339i | \(0.451341\pi\) |
−0.704121 | + | 0.710080i | \(0.748659\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 4.66531 | + | 14.3583i | 0.216815 | + | 0.667289i | 0.999020 | + | 0.0442671i | \(0.0140953\pi\) |
−0.782204 | + | 0.623022i | \(0.785905\pi\) | |||||||
\(464\) | −0.0224413 | + | 0.0690671i | −0.00104181 | + | 0.00320636i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 11.6041 | + | 35.7136i | 0.537548 | + | 1.65440i | ||||
\(467\) | 4.51552 | − | 3.28072i | 0.208953 | − | 0.151814i | −0.478387 | − | 0.878149i | \(-0.658778\pi\) |
0.687340 | + | 0.726336i | \(0.258778\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −14.6086 | + | 10.6138i | −0.674563 | + | 0.490099i | ||||
\(470\) | 7.13681 | + | 0.583599i | 0.329196 | + | 0.0269194i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 15.3732 | + | 11.1693i | 0.707607 | + | 0.514107i | ||||
\(473\) | 2.68306 | − | 8.25762i | 0.123367 | − | 0.379686i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 12.8319 | + | 12.9895i | 0.588769 | + | 0.596000i | ||||
\(476\) | −42.5787 | −1.95159 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −17.8839 | − | 12.9934i | −0.817992 | − | 0.594306i | ||||
\(479\) | 2.38091 | + | 1.72983i | 0.108786 | + | 0.0790380i | 0.640848 | − | 0.767667i | \(-0.278583\pi\) |
−0.532062 | + | 0.846705i | \(0.678583\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −22.4494 | + | 16.3105i | −1.02361 | + | 0.743693i | ||||
\(482\) | −26.0588 | −1.18695 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 3.00587 | + | 9.25113i | 0.136631 | + | 0.420506i | ||||
\(485\) | 4.26605 | + | 18.0113i | 0.193711 | + | 0.817853i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −1.76445 | − | 5.43042i | −0.0799549 | − | 0.246076i | 0.903087 | − | 0.429458i | \(-0.141295\pi\) |
−0.983042 | + | 0.183382i | \(0.941295\pi\) | |||||||
\(488\) | 2.45133 | + | 7.54442i | 0.110966 | + | 0.341520i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −16.7892 | + | 10.2181i | −0.758460 | + | 0.461607i | ||||
\(491\) | −12.7515 | − | 39.2451i | −0.575467 | − | 1.77111i | −0.634583 | − | 0.772855i | \(-0.718828\pi\) |
0.0591157 | − | 0.998251i | \(-0.481172\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.164573 | 0.00741202 | ||||||||
\(494\) | −16.9957 | + | 12.3481i | −0.764675 | + | 0.555569i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −17.0744 | − | 12.4052i | −0.766661 | − | 0.557012i | ||||
\(497\) | 32.5997 | + | 23.6850i | 1.46229 | + | 1.06242i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 34.8039 | 1.55804 | 0.779018 | − | 0.627002i | \(-0.215718\pi\) | ||||
0.779018 | + | 0.627002i | \(0.215718\pi\) | |||||||
\(500\) | 28.0596 | − | 11.3228i | 1.25486 | − | 0.506373i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 5.82195 | − | 17.9181i | 0.259847 | − | 0.799725i | ||||
\(503\) | 22.7485 | + | 16.5278i | 1.01431 | + | 0.736937i | 0.965108 | − | 0.261852i | \(-0.0843331\pi\) |
0.0491992 | + | 0.998789i | \(0.484333\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 6.06602 | + | 5.21297i | 0.269934 | + | 0.231974i | ||||
\(506\) | −24.2593 | + | 17.6254i | −1.07846 | + | 0.783544i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 20.7609 | − | 15.0837i | 0.921114 | − | 0.669229i | ||||
\(509\) | −9.80583 | − | 30.1792i | −0.434636 | − | 1.33767i | −0.893459 | − | 0.449144i | \(-0.851729\pi\) |
0.458824 | − | 0.888527i | \(-0.348271\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −12.5934 | + | 38.7584i | −0.557098 | + | 1.71457i | ||||
\(512\) | −6.87922 | − | 21.1721i | −0.304021 | − | 0.935682i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −5.66523 | + | 17.4358i | −0.249883 | + | 0.769059i | ||||
\(515\) | −6.42116 | − | 27.1103i | −0.282950 | − | 1.19462i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 4.56217 | − | 3.31461i | 0.200644 | − | 0.145776i | ||||
\(518\) | 75.4687 | 3.31591 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 2.09420 | + | 8.84176i | 0.0918369 | + | 0.387737i | ||||
\(521\) | −1.06229 | − | 0.771800i | −0.0465398 | − | 0.0338132i | 0.564272 | − | 0.825589i | \(-0.309157\pi\) |
−0.610812 | + | 0.791776i | \(0.709157\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −0.223533 | + | 0.687963i | −0.00977441 | + | 0.0300825i | −0.955825 | − | 0.293937i | \(-0.905034\pi\) |
0.946050 | + | 0.324020i | \(0.105034\pi\) | |||||||
\(524\) | 26.0604 | 1.13845 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −17.7164 | −0.772473 | ||||||||
\(527\) | −14.7796 | + | 45.4870i | −0.643811 | + | 1.98145i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 8.01651 | + | 5.82434i | 0.348544 | + | 0.253232i | ||||
\(530\) | −43.1507 | − | 3.52856i | −1.87435 | − | 0.153271i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 32.8551 | 1.42445 | ||||||||
\(533\) | −4.09579 | + | 2.97577i | −0.177409 | + | 0.128895i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −0.974896 | − | 0.837799i | −0.0421484 | − | 0.0362212i | ||||
\(536\) | 2.57212 | − | 7.91617i | 0.111099 | − | 0.341926i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −9.14178 | − | 28.1355i | −0.394130 | − | 1.21301i | ||||
\(539\) | −4.78300 | + | 14.7206i | −0.206018 | + | 0.634059i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −13.5264 | − | 41.6301i | −0.581546 | − | 1.78982i | −0.612718 | − | 0.790302i | \(-0.709924\pi\) |
0.0311714 | − | 0.999514i | \(-0.490076\pi\) | |||||||
\(542\) | −1.89244 | + | 1.37494i | −0.0812875 | + | 0.0590588i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −29.0799 | + | 21.1278i | −1.24679 | + | 0.905845i | ||||
\(545\) | −9.78565 | + | 23.4222i | −0.419171 | + | 1.00330i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 18.0077 | + | 13.0834i | 0.769954 | + | 0.559405i | 0.901947 | − | 0.431846i | \(-0.142138\pi\) |
−0.131993 | + | 0.991251i | \(0.542138\pi\) | |||||||
\(548\) | 1.19126 | − | 3.66633i | 0.0508883 | − | 0.156618i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 19.0376 | − | 36.8064i | 0.811767 | − | 1.56943i | ||||
\(551\) | −0.126990 | −0.00540996 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −19.4960 | − | 14.1647i | −0.829055 | − | 0.602344i | ||||
\(554\) | 30.9805 | + | 22.5087i | 1.31624 | + | 0.956301i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 3.60541 | − | 2.61948i | 0.152903 | − | 0.111091i | ||||
\(557\) | 40.8497 | 1.73086 | 0.865429 | − | 0.501032i | \(-0.167046\pi\) | ||||
0.865429 | + | 0.501032i | \(0.167046\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1.86242 | − | 5.73193i | −0.0787719 | − | 0.242435i | ||||
\(560\) | −5.98442 | + | 14.3239i | −0.252888 | + | 0.605294i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 17.0024 | + | 52.3280i | 0.717203 | + | 2.20732i | ||||
\(563\) | 11.6682 | + | 35.9110i | 0.491756 | + | 1.51347i | 0.821952 | + | 0.569557i | \(0.192885\pi\) |
−0.330195 | + | 0.943913i | \(0.607115\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 14.8957 | − | 35.6532i | 0.626666 | − | 1.49994i | ||||
\(566\) | 7.30047 | + | 22.4685i | 0.306862 | + | 0.944423i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −18.5743 | −0.779361 | ||||||||
\(569\) | −22.0522 | + | 16.0218i | −0.924476 | + | 0.671671i | −0.944634 | − | 0.328126i | \(-0.893583\pi\) |
0.0201584 | + | 0.999797i | \(0.493583\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 32.4321 | + | 23.5633i | 1.35724 | + | 0.986094i | 0.998615 | + | 0.0526136i | \(0.0167552\pi\) |
0.358628 | + | 0.933481i | \(0.383245\pi\) | |||||||
\(572\) | 22.1804 | + | 16.1150i | 0.927410 | + | 0.673803i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 13.7689 | 0.574703 | ||||||||
\(575\) | 17.8504 | + | 2.93902i | 0.744415 | + | 0.122566i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 5.13837 | − | 15.8143i | 0.213913 | − | 0.658357i | −0.785316 | − | 0.619095i | \(-0.787500\pi\) |
0.999229 | − | 0.0392614i | \(-0.0125005\pi\) | |||||||
\(578\) | 9.47199 | + | 6.88180i | 0.393983 | + | 0.286245i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.0811265 | + | 0.194179i | −0.00336860 | + | 0.00806282i | ||||
\(581\) | −15.1362 | + | 10.9971i | −0.627956 | + | 0.456236i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −27.5839 | + | 20.0408i | −1.14241 | + | 0.830007i | ||||
\(584\) | −5.80496 | − | 17.8658i | −0.240211 | − | 0.739293i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −5.51384 | + | 16.9699i | −0.227775 | + | 0.701018i | ||||
\(587\) | −3.31218 | − | 10.1938i | −0.136708 | − | 0.420745i | 0.859144 | − | 0.511735i | \(-0.170997\pi\) |
−0.995852 | + | 0.0909899i | \(0.970997\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 11.4044 | − | 35.0993i | 0.469912 | − | 1.44624i | ||||
\(590\) | −45.6219 | − | 39.2062i | −1.87822 | − | 1.61409i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 17.6794 | − | 12.8448i | 0.726620 | − | 0.527920i | ||||
\(593\) | −30.3399 | −1.24591 | −0.622954 | − | 0.782258i | \(-0.714068\pi\) | ||||
−0.622954 | + | 0.782258i | \(0.714068\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 35.0626 | + | 2.86718i | 1.43743 | + | 0.117543i | ||||
\(596\) | 21.6228 | + | 15.7099i | 0.885703 | + | 0.643501i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −6.43204 | + | 19.7958i | −0.263025 | + | 0.809509i | ||||
\(599\) | 38.5303 | 1.57431 | 0.787153 | − | 0.616758i | \(-0.211554\pi\) | ||||
0.787153 | + | 0.616758i | \(0.211554\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −12.5110 | −0.510333 | −0.255166 | − | 0.966897i | \(-0.582130\pi\) | ||||
−0.255166 | + | 0.966897i | \(0.582130\pi\) | |||||||
\(602\) | −5.06520 | + | 15.5891i | −0.206442 | + | 0.635363i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 25.3988 | + | 18.4533i | 1.03346 | + | 0.750855i | ||||
\(605\) | −1.85232 | − | 7.82051i | −0.0753073 | − | 0.317949i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −8.69260 | −0.352822 | −0.176411 | − | 0.984317i | \(-0.556449\pi\) | ||||
−0.176411 | + | 0.984317i | \(0.556449\pi\) | |||||||
\(608\) | 22.4390 | − | 16.3029i | 0.910020 | − | 0.661168i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −5.78768 | − | 24.4357i | −0.234336 | − | 0.989372i | ||||
\(611\) | 1.20960 | − | 3.72277i | 0.0489352 | − | 0.150607i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −0.883537 | − | 2.71925i | −0.0356857 | − | 0.109829i | 0.931627 | − | 0.363416i | \(-0.118390\pi\) |
−0.967313 | + | 0.253587i | \(0.918390\pi\) | |||||||
\(614\) | −4.28249 | + | 13.1801i | −0.172827 | + | 0.531907i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −6.01389 | − | 18.5088i | −0.242306 | − | 0.745743i | ||||
\(617\) | 32.1143 | − | 23.3324i | 1.29287 | − | 0.939326i | 0.293012 | − | 0.956109i | \(-0.405342\pi\) |
0.999859 | + | 0.0167825i | \(0.00534230\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −17.5615 | + | 12.7592i | −0.705857 | + | 0.512835i | −0.881834 | − | 0.471559i | \(-0.843691\pi\) |
0.175978 | + | 0.984394i | \(0.443691\pi\) | |||||||
\(620\) | −46.3841 | − | 39.8612i | −1.86283 | − | 1.60086i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −32.9732 | − | 23.9564i | −1.32210 | − | 0.960565i | ||||
\(623\) | −18.3020 | + | 56.3279i | −0.733255 | + | 2.25673i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −23.8689 | + | 7.43462i | −0.954758 | + | 0.297385i | ||||
\(626\) | −47.3152 | −1.89110 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −12.3705 | − | 8.98768i | −0.493636 | − | 0.358648i | ||||
\(629\) | −40.0648 | − | 29.1088i | −1.59749 | − | 1.16064i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 3.42841 | − | 2.49089i | 0.136483 | − | 0.0991606i | −0.517449 | − | 0.855714i | \(-0.673118\pi\) |
0.653932 | + | 0.756553i | \(0.273118\pi\) | |||||||
\(632\) | 11.1082 | 0.441862 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 7.38145 | + | 22.7178i | 0.293155 | + | 0.902237i | ||||
\(635\) | −18.1118 | + | 11.0231i | −0.718746 | + | 0.437436i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 3.32006 | + | 10.2181i | 0.131546 | + | 0.404856i | ||||
\(638\) | 0.0890598 | + | 0.274098i | 0.00352591 | + | 0.0108516i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −5.92386 | − | 25.0106i | −0.234161 | − | 0.988633i | ||||
\(641\) | −7.99569 | − | 24.6082i | −0.315811 | − | 0.971965i | −0.975419 | − | 0.220356i | \(-0.929278\pi\) |
0.659609 | − | 0.751609i | \(-0.270722\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 3.38669 | 0.133558 | 0.0667790 | − | 0.997768i | \(-0.478728\pi\) | ||||
0.0667790 | + | 0.997768i | \(0.478728\pi\) | |||||||
\(644\) | 26.3356 | − | 19.1339i | 1.03777 | − | 0.753983i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −30.3318 | − | 22.0373i | −1.19339 | − | 0.867046i | ||||
\(647\) | 5.38122 | + | 3.90969i | 0.211558 | + | 0.153706i | 0.688518 | − | 0.725219i | \(-0.258262\pi\) |
−0.476960 | + | 0.878925i | \(0.658262\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −47.3724 | −1.85953 | ||||||||
\(650\) | −4.32620 | − | 28.4368i | −0.169687 | − | 1.11538i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −10.1611 | + | 31.2725i | −0.397938 | + | 1.22473i | ||||
\(653\) | 15.9053 | + | 11.5559i | 0.622424 | + | 0.452218i | 0.853767 | − | 0.520654i | \(-0.174312\pi\) |
−0.231343 | + | 0.972872i | \(0.574312\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −21.4601 | − | 1.75486i | −0.838517 | − | 0.0685681i | ||||
\(656\) | 3.22553 | − | 2.34348i | 0.125936 | − | 0.0914976i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −8.61264 | + | 6.25745i | −0.335756 | + | 0.243941i | ||||
\(659\) | −0.0777271 | − | 0.239219i | −0.00302782 | − | 0.00931866i | 0.949531 | − | 0.313673i | \(-0.101559\pi\) |
−0.952559 | + | 0.304354i | \(0.901559\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −14.5495 | + | 44.7788i | −0.565911 | + | 1.74169i | 0.0993193 | + | 0.995056i | \(0.468333\pi\) |
−0.665230 | + | 0.746638i | \(0.731667\pi\) | |||||||
\(662\) | −5.87046 | − | 18.0674i | −0.228162 | − | 0.702210i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 2.66501 | − | 8.20206i | 0.103422 | − | 0.318302i | ||||
\(665\) | −27.0554 | − | 2.21241i | −1.04916 | − | 0.0857934i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.101791 | + | 0.0739558i | −0.00394138 | + | 0.00286358i | ||||
\(668\) | 26.7373 | 1.03450 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −10.1576 | + | 24.3125i | −0.392423 | + | 0.939275i | ||||
\(671\) | −15.9992 | − | 11.6241i | −0.617641 | − | 0.448742i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 4.65524 | − | 14.3273i | 0.179446 | − | 0.552278i | −0.820362 | − | 0.571844i | \(-0.806228\pi\) |
0.999809 | + | 0.0195655i | \(0.00622828\pi\) | |||||||
\(674\) | 66.1738 | 2.54892 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −16.1518 | −0.621225 | ||||||||
\(677\) | −1.91183 | + | 5.88401i | −0.0734776 | + | 0.226141i | −0.981050 | − | 0.193755i | \(-0.937933\pi\) |
0.907572 | + | 0.419896i | \(0.137933\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −22.2630 | − | 16.1750i | −0.854376 | − | 0.620740i | ||||
\(680\) | −13.8524 | + | 8.43070i | −0.531214 | + | 0.323303i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −83.7569 | −3.20722 | ||||||||
\(683\) | 10.0722 | − | 7.31789i | 0.385403 | − | 0.280011i | −0.378166 | − | 0.925738i | \(-0.623445\pi\) |
0.763569 | + | 0.645726i | \(0.223445\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −1.22786 | + | 2.93893i | −0.0469143 | + | 0.112291i | ||||
\(686\) | −6.57087 | + | 20.2231i | −0.250877 | + | 0.772120i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 1.46669 | + | 4.51402i | 0.0559172 | + | 0.172095i | ||||
\(689\) | −7.31351 | + | 22.5087i | −0.278622 | + | 0.857512i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −8.44383 | − | 25.9875i | −0.321219 | − | 0.988609i | −0.973119 | − | 0.230304i | \(-0.926028\pi\) |
0.651900 | − | 0.758305i | \(-0.273972\pi\) | |||||||
\(692\) | −0.409553 | + | 0.297558i | −0.0155689 | + | 0.0113114i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 22.3354 | − | 16.2276i | 0.847840 | − | 0.615992i | ||||
\(695\) | −3.14537 | + | 1.91430i | −0.119311 | + | 0.0726137i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −7.30963 | − | 5.31076i | −0.276872 | − | 0.201159i | ||||
\(698\) | 14.9374 | − | 45.9725i | 0.565387 | − | 1.74008i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −20.6671 | + | 39.9566i | −0.781142 | + | 1.51022i | ||||
\(701\) | 27.7130 | 1.04671 | 0.523353 | − | 0.852116i | \(-0.324681\pi\) | ||||
0.523353 | + | 0.852116i | \(0.324681\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 30.9153 | + | 22.4613i | 1.16599 | + | 0.847142i | ||||
\(704\) | −38.0166 | − | 27.6207i | −1.43280 | − | 1.04099i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 29.8517 | − | 21.6885i | 1.12348 | − | 0.816258i | ||||
\(707\) | −11.8911 | −0.447210 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 2.47850 | + | 7.62803i | 0.0930819 | + | 0.286477i | 0.986749 | − | 0.162254i | \(-0.0518763\pi\) |
−0.893667 | + | 0.448731i | \(0.851876\pi\) | |||||||
\(710\) | 58.6035 | + | 4.79219i | 2.19935 | + | 0.179848i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −8.43639 | − | 25.9645i | −0.316167 | − | 0.973062i | ||||
\(713\) | −11.2995 | − | 34.7761i | −0.423168 | − | 1.30238i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −17.1799 | − | 14.7640i | −0.642493 | − | 0.552141i | ||||
\(716\) | −13.3124 | − | 40.9713i | −0.497507 | − | 1.53117i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 43.8473 | 1.63637 | ||||||||
\(719\) | −12.9705 | + | 9.42361i | −0.483717 | + | 0.351441i | −0.802763 | − | 0.596298i | \(-0.796638\pi\) |
0.319046 | + | 0.947739i | \(0.396638\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 33.5098 | + | 24.3463i | 1.24797 | + | 0.906703i | ||||
\(722\) | −9.94183 | − | 7.22316i | −0.369997 | − | 0.268818i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −35.8135 | −1.33100 | ||||||||
\(725\) | 0.0798815 | − | 0.154439i | 0.00296673 | − | 0.00573571i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −1.17061 | + | 3.60278i | −0.0434157 | + | 0.133620i | −0.970415 | − | 0.241444i | \(-0.922379\pi\) |
0.926999 | + | 0.375063i | \(0.122379\pi\) | |||||||
\(728\) | −10.9289 | − | 7.94032i | −0.405052 | − | 0.294288i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 13.7057 | + | 57.8658i | 0.507271 | + | 2.14171i | ||||
\(731\) | 8.70181 | − | 6.32224i | 0.321848 | − | 0.233836i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 34.3518 | − | 24.9581i | 1.26881 | − | 0.921847i | 0.269659 | − | 0.962956i | \(-0.413089\pi\) |
0.999155 | + | 0.0411091i | \(0.0130891\pi\) | |||||||
\(734\) | −9.76578 | − | 30.0560i | −0.360461 | − | 1.10939i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 8.49202 | − | 26.1357i | 0.313020 | − | 0.963376i | ||||
\(737\) | 6.41226 | + | 19.7349i | 0.236199 | + | 0.726945i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −0.356025 | + | 1.09573i | −0.0130966 | + | 0.0403072i | −0.957391 | − | 0.288794i | \(-0.906746\pi\) |
0.944295 | + | 0.329101i | \(0.106746\pi\) | |||||||
\(740\) | 54.0951 | − | 32.9228i | 1.98857 | − | 1.21027i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 52.0739 | − | 37.8339i | 1.91169 | − | 1.38893i | ||||
\(743\) | −39.7658 | −1.45887 | −0.729433 | − | 0.684053i | \(-0.760216\pi\) | ||||
−0.729433 | + | 0.684053i | \(0.760216\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −16.7480 | − | 14.3928i | −0.613599 | − | 0.527310i | ||||
\(746\) | −9.94781 | − | 7.22751i | −0.364215 | − | 0.264618i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −15.1200 | + | 46.5346i | −0.552842 | + | 1.70147i | ||||
\(749\) | 1.91107 | 0.0698289 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −26.2947 | −0.959506 | −0.479753 | − | 0.877404i | \(-0.659274\pi\) | ||||
−0.479753 | + | 0.877404i | \(0.659274\pi\) | |||||||
\(752\) | −0.952587 | + | 2.93176i | −0.0347373 | + | 0.106910i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.161846 | + | 0.117588i | 0.00589410 | + | 0.00428231i | ||||
\(755\) | −19.6728 | − | 16.9062i | −0.715965 | − | 0.615280i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −24.5334 | −0.891681 | −0.445840 | − | 0.895113i | \(-0.647095\pi\) | ||||
−0.445840 | + | 0.895113i | \(0.647095\pi\) | |||||||
\(758\) | 15.7769 | − | 11.4626i | 0.573044 | − | 0.416341i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 10.6889 | − | 6.50540i | 0.387728 | − | 0.235975i | ||||
\(761\) | −5.81060 | + | 17.8832i | −0.210634 | + | 0.648265i | 0.788801 | + | 0.614649i | \(0.210702\pi\) |
−0.999435 | + | 0.0336159i | \(0.989298\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −11.6620 | − | 35.8920i | −0.422194 | − | 1.29938i | ||||
\(764\) | −2.21400 | + | 6.81400i | −0.0800998 | + | 0.246522i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 15.5640 | + | 47.9010i | 0.562349 | + | 1.73073i | ||||
\(767\) | −26.6029 | + | 19.3281i | −0.960576 | + | 0.697899i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 25.8086 | − | 18.7510i | 0.930681 | − | 0.676179i | −0.0154785 | − | 0.999880i | \(-0.504927\pi\) |
0.946159 | + | 0.323701i | \(0.104927\pi\) | |||||||
\(770\) | 14.1990 | + | 59.9485i | 0.511697 | + | 2.16039i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 18.1694 | + | 13.2009i | 0.653932 | + | 0.475109i | ||||
\(773\) | 1.57099 | − | 4.83500i | 0.0565045 | − | 0.173903i | −0.918821 | − | 0.394674i | \(-0.870857\pi\) |
0.975326 | + | 0.220771i | \(0.0708575\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 35.5121 | + | 35.9482i | 1.27563 | + | 1.29130i | ||||
\(776\) | 12.6848 | 0.455358 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −18.5928 | − | 13.5085i | −0.666586 | − | 0.484303i | ||||
\(779\) | 5.64034 | + | 4.09795i | 0.202086 | + | 0.146824i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 37.4620 | − | 27.2177i | 1.34049 | − | 0.973926i | ||||
\(782\) | −37.1470 | −1.32837 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −2.61462 | − | 8.04698i | −0.0933793 | − | 0.287392i | ||||
\(785\) | 9.58160 | + | 8.23416i | 0.341982 | + | 0.293890i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −9.73607 | − | 29.9645i | −0.347053 | − | 1.06812i | −0.960475 | − | 0.278365i | \(-0.910207\pi\) |
0.613422 | − | 0.789755i | \(-0.289793\pi\) | |||||||
\(788\) | 17.4251 | + | 53.6290i | 0.620744 | + | 1.91045i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −35.0474 | − | 2.86593i | −1.24693 | − | 0.101965i | ||||
\(791\) | 17.7519 | + | 54.6347i | 0.631185 | + | 1.94259i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −13.7273 | −0.487471 | ||||||||
\(794\) | −4.75838 | + | 3.45717i | −0.168869 | + | 0.122690i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 7.26358 | + | 5.27730i | 0.257451 | + | 0.187049i | ||||
\(797\) | 14.2273 | + | 10.3368i | 0.503958 | + | 0.366147i | 0.810527 | − | 0.585701i | \(-0.199181\pi\) |
−0.306569 | + | 0.951849i | \(0.599181\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 6.98581 | 0.247140 | ||||||||
\(800\) | 5.71174 | + | 37.5442i | 0.201941 | + | 1.32739i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −5.69783 | + | 17.5361i | −0.201197 | + | 0.619222i | ||||
\(803\) | 37.8874 | + | 27.5268i | 1.33702 | + | 0.971399i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −22.9752 | + | 13.9830i | −0.809771 | + | 0.492835i | ||||
\(806\) | −47.0354 | + | 34.1732i | −1.65675 | + | 1.20370i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 4.43442 | − | 3.22179i | 0.156002 | − | 0.113342i | ||||
\(809\) | −4.46737 | − | 13.7491i | −0.157064 | − | 0.483394i | 0.841300 | − | 0.540569i | \(-0.181791\pi\) |
−0.998364 | + | 0.0571746i | \(0.981791\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 7.90971 | − | 24.3436i | 0.277748 | − | 0.854819i | −0.710732 | − | 0.703463i | \(-0.751636\pi\) |
0.988479 | − | 0.151356i | \(-0.0483640\pi\) | |||||||
\(812\) | −0.0966824 | − | 0.297558i | −0.00339289 | − | 0.0104422i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 26.7995 | − | 82.4804i | 0.939322 | − | 2.89094i | ||||
\(815\) | 10.4732 | − | 25.0680i | 0.366862 | − | 0.878094i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −6.71460 | + | 4.87844i | −0.234914 | + | 0.170675i | ||||
\(818\) | −34.8272 | −1.21770 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 9.86939 | − | 6.00662i | 0.344654 | − | 0.209760i | ||||
\(821\) | 9.29237 | + | 6.75130i | 0.324306 | + | 0.235622i | 0.738011 | − | 0.674789i | \(-0.235765\pi\) |
−0.413705 | + | 0.910411i | \(0.635765\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −17.2352 | + | 53.0444i | −0.600781 | + | 1.84901i | −0.0772383 | + | 0.997013i | \(0.524610\pi\) |
−0.523542 | + | 0.852000i | \(0.675390\pi\) | |||||||
\(824\) | −19.0929 | −0.665132 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 89.4316 | 3.11172 | ||||||||
\(827\) | −1.60407 | + | 4.93680i | −0.0557788 | + | 0.171670i | −0.975065 | − | 0.221921i | \(-0.928767\pi\) |
0.919286 | + | 0.393591i | \(0.128767\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −24.1809 | − | 17.5685i | −0.839838 | − | 0.610178i | 0.0824876 | − | 0.996592i | \(-0.473714\pi\) |
−0.922325 | + | 0.386414i | \(0.873714\pi\) | |||||||
\(830\) | −10.5245 | + | 25.1906i | −0.365309 | + | 0.874378i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −32.6183 | −1.13084 | ||||||||
\(833\) | −15.5124 | + | 11.2704i | −0.537473 | + | 0.390497i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −22.0176 | − | 1.80045i | −0.761951 | − | 0.0623071i | ||||
\(836\) | 11.6671 | − | 35.9076i | 0.403514 | − | 1.24189i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 18.2726 | + | 56.2373i | 0.631216 | + | 1.94268i | ||||
\(839\) | 13.0615 | − | 40.1991i | 0.450932 | − | 1.38783i | −0.424913 | − | 0.905234i | \(-0.639695\pi\) |
0.875845 | − | 0.482592i | \(-0.160305\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −8.96112 | − | 27.5795i | −0.309004 | − | 0.951017i | ||||
\(842\) | 5.25454 | − | 3.81764i | 0.181083 | − | 0.131565i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −23.3763 | + | 16.9839i | −0.804645 | + | 0.584609i | ||||
\(845\) | 13.3007 | + | 1.08764i | 0.457558 | + | 0.0374159i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 9.66658 | + | 7.02318i | 0.332148 | + | 0.241319i | ||||
\(848\) | 5.75955 | − | 17.7261i | 0.197784 | − | 0.608715i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 45.8804 | − | 23.0256i | 1.57369 | − | 0.789772i | ||||
\(851\) | 37.8616 | 1.29788 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 4.51616 | + | 3.28118i | 0.154630 | + | 0.112346i | 0.662410 | − | 0.749141i | \(-0.269534\pi\) |
−0.507780 | + | 0.861487i | \(0.669534\pi\) | |||||||
\(854\) | 30.2039 | + | 21.9444i | 1.03355 | + | 0.750921i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −0.712674 | + | 0.517788i | −0.0243587 | + | 0.0176976i | ||||
\(857\) | −40.9218 | −1.39786 | −0.698930 | − | 0.715190i | \(-0.746340\pi\) | ||||
−0.698930 | + | 0.715190i | \(0.746340\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 1.94601 | + | 5.98920i | 0.0663970 | + | 0.204349i | 0.978751 | − | 0.205054i | \(-0.0657370\pi\) |
−0.912354 | + | 0.409403i | \(0.865737\pi\) | |||||||
\(860\) | 3.16998 | + | 13.3837i | 0.108096 | + | 0.456381i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 22.9662 | + | 70.6828i | 0.782233 | + | 2.40746i | ||||
\(863\) | −5.91389 | − | 18.2011i | −0.201311 | − | 0.619572i | −0.999845 | − | 0.0176217i | \(-0.994391\pi\) |
0.798534 | − | 0.601950i | \(-0.205609\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0.357295 | − | 0.217454i | 0.0121484 | − | 0.00739364i | ||||
\(866\) | 6.90206 | + | 21.2423i | 0.234541 | + | 0.721844i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 90.9257 | 3.08622 | ||||||||
\(869\) | −22.4039 | + | 16.2774i | −0.760000 | + | 0.552172i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 11.6529 | + | 8.46630i | 0.394842 | + | 0.286869i | ||||
\(872\) | 14.0737 | + | 10.2251i | 0.476594 | + | 0.346266i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 28.6638 | 0.969567 | ||||||||
\(875\) | 19.7095 | − | 31.5117i | 0.666302 | − | 1.06529i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 4.11847 | − | 12.6753i | 0.139071 | − | 0.428016i | −0.857130 | − | 0.515100i | \(-0.827755\pi\) |
0.996201 | + | 0.0870840i | \(0.0277549\pi\) | |||||||
\(878\) | −68.9834 | − | 50.1194i | −2.32808 | − | 1.69145i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 13.5296 | + | 11.6269i | 0.456082 | + | 0.391944i | ||||
\(881\) | 26.5565 | − | 19.2944i | 0.894711 | − | 0.650046i | −0.0423910 | − | 0.999101i | \(-0.513498\pi\) |
0.937102 | + | 0.349055i | \(0.113498\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 5.89651 | − | 4.28406i | 0.198433 | − | 0.144170i | −0.484132 | − | 0.874995i | \(-0.660864\pi\) |
0.682565 | + | 0.730825i | \(0.260864\pi\) | |||||||
\(884\) | 10.4954 | + | 32.3015i | 0.352998 | + | 1.08642i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −0.502729 | + | 1.54724i | −0.0168895 | + | 0.0519806i | ||||
\(887\) | 9.84779 | + | 30.3084i | 0.330656 | + | 1.01766i | 0.968822 | + | 0.247757i | \(0.0796933\pi\) |
−0.638166 | + | 0.769899i | \(0.720307\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 9.74085 | − | 29.9793i | 0.326698 | − | 1.00547i | ||||
\(890\) | 19.9186 | + | 84.0968i | 0.667673 | + | 2.81893i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −1.20105 | + | 0.872616i | −0.0402142 | + | 0.0292173i | ||||
\(893\) | −5.39048 | −0.180385 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 8.20351 | + | 34.6354i | 0.274213 | + | 1.15773i | ||||
\(896\) | 30.9145 | + | 22.4607i | 1.03278 | + | 0.750360i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −4.55854 | + | 14.0297i | −0.152120 | + | 0.468179i | ||||
\(899\) | −0.351442 | −0.0117213 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −42.2377 | −1.40714 | ||||||||
\(902\) | 4.88944 | − | 15.0482i | 0.162801 | − | 0.501049i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −21.4229 | − | 15.5646i | −0.712513 | − | 0.517671i | ||||
\(905\) | 29.4916 | + | 2.41162i | 0.980335 | + | 0.0801651i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −40.7506 | −1.35310 | −0.676551 | − | 0.736396i | \(-0.736526\pi\) | ||||
−0.676551 | + | 0.736396i | \(0.736526\pi\) | |||||||
\(908\) | −8.06600 | + | 5.86029i | −0.267680 | + | 0.194481i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 32.4330 | + | 27.8720i | 1.07514 | + | 0.923948i | ||||
\(911\) | 7.78362 | − | 23.9555i | 0.257883 | − | 0.793682i | −0.735365 | − | 0.677671i | \(-0.762989\pi\) |
0.993248 | − | 0.116011i | \(-0.0370108\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 6.64384 | + | 20.4476i | 0.219879 | + | 0.676718i | ||||
\(914\) | −11.6952 | + | 35.9942i | −0.386843 | + | 1.19058i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −1.44024 | − | 4.43259i | −0.0475868 | − | 0.146457i | ||||
\(917\) | 25.8979 | − | 18.8159i | 0.855225 | − | 0.621357i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 1.94774 | − | 1.41512i | 0.0642500 | − | 0.0466804i | −0.555197 | − | 0.831719i | \(-0.687357\pi\) |
0.619447 | + | 0.785039i | \(0.287357\pi\) | |||||||
\(920\) | 4.77934 | − | 11.4395i | 0.157570 | − | 0.377148i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −67.2960 | − | 48.8934i | −2.21628 | − | 1.61022i | ||||
\(923\) | 9.93256 | − | 30.5693i | 0.326934 | − | 1.00620i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −46.7631 | + | 23.4686i | −1.53756 | + | 0.771642i | ||||
\(926\) | −32.7522 | −1.07630 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −0.213681 | − | 0.155248i | −0.00701441 | − | 0.00509627i | ||||
\(929\) | −8.92928 | − | 6.48750i | −0.292960 | − | 0.212848i | 0.431590 | − | 0.902070i | \(-0.357953\pi\) |
−0.724551 | + | 0.689222i | \(0.757953\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 11.9699 | − | 8.69661i | 0.392296 | − | 0.285020i | ||||
\(932\) | −46.8458 | −1.53449 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 3.74176 | + | 11.5159i | 0.122434 | + | 0.376813i | ||||
\(935\) | 15.5846 | − | 37.3021i | 0.509669 | − | 1.21991i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 0.492148 | + | 1.51468i | 0.0160778 | + | 0.0494823i | 0.958774 | − | 0.284171i | \(-0.0917184\pi\) |
−0.942696 | + | 0.333654i | \(0.891718\pi\) | |||||||
\(938\) | −12.1053 | − | 37.2563i | −0.395253 | − | 1.21646i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −3.44366 | + | 8.24249i | −0.112320 | + | 0.268840i | ||||
\(941\) | 2.47918 | + | 7.63013i | 0.0808189 | + | 0.248735i | 0.983299 | − | 0.181996i | \(-0.0582558\pi\) |
−0.902480 | + | 0.430731i | \(0.858256\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 6.90767 | 0.224945 | ||||||||
\(944\) | 20.9504 | − | 15.2213i | 0.681877 | − | 0.495412i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 15.2387 | + | 11.0716i | 0.495454 | + | 0.359969i | ||||
\(947\) | −9.39328 | − | 6.82462i | −0.305241 | − | 0.221770i | 0.424611 | − | 0.905376i | \(-0.360411\pi\) |
−0.729852 | + | 0.683606i | \(0.760411\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 32.5074 | 1.05524 | ||||||||
\(950\) | −35.4028 | + | 17.7673i | −1.14862 | + | 0.576447i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 7.45004 | − | 22.9289i | 0.241457 | − | 0.743129i | ||||
\(953\) | −0.743091 | − | 0.539888i | −0.0240711 | − | 0.0174887i | 0.575685 | − | 0.817672i | \(-0.304736\pi\) |
−0.599756 | + | 0.800183i | \(0.704736\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 2.28203 | − | 5.46209i | 0.0738446 | − | 0.176749i | ||||
\(956\) | 22.3104 | − | 16.2094i | 0.721568 | − | 0.524250i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −5.16518 | + | 3.75272i | −0.166879 | + | 0.121245i | ||||
\(959\) | −1.46330 | − | 4.50359i | −0.0472526 | − | 0.145428i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 21.9820 | − | 67.6537i | 0.709097 | − | 2.18238i | ||||
\(962\) | −18.6026 | − | 57.2528i | −0.599771 | − | 1.84590i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 10.0457 | − | 30.9175i | 0.323550 | − | 0.995786i | ||||
\(965\) | −14.0732 | − | 12.0941i | −0.453032 | − | 0.389323i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −18.2399 | + | 13.2521i | −0.586555 | + | 0.426157i | −0.841081 | − | 0.540909i | \(-0.818080\pi\) |
0.254526 | + | 0.967066i | \(0.418080\pi\) | |||||||
\(968\) | −5.50773 | −0.177025 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −40.0215 | − | 3.27269i | −1.28501 | − | 0.105080i | ||||
\(971\) | −45.4353 | − | 33.0106i | −1.45809 | − | 1.05936i | −0.983856 | − | 0.178962i | \(-0.942726\pi\) |
−0.474231 | − | 0.880401i | \(-0.657274\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 1.69163 | − | 5.20631i | 0.0542313 | − | 0.166907i | ||||
\(974\) | 12.3871 | 0.396909 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 10.8106 | 0.346038 | ||||||||
\(977\) | 15.3303 | − | 47.1818i | 0.490459 | − | 1.50948i | −0.333456 | − | 0.942766i | \(-0.608215\pi\) |
0.823915 | − | 0.566713i | \(-0.191785\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 55.0620 | + | 40.0049i | 1.75979 | + | 1.27856i | ||||
\(980\) | −5.65101 | − | 23.8587i | −0.180515 | − | 0.762137i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 89.5203 | 2.85671 | ||||||||
\(983\) | −45.4691 | + | 33.0352i | −1.45024 | + | 1.05366i | −0.464464 | + | 0.885592i | \(0.653753\pi\) |
−0.985775 | + | 0.168069i | \(0.946247\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −10.7379 | − | 45.3356i | −0.342138 | − | 1.44451i | ||||
\(986\) | −0.110328 | + | 0.339554i | −0.00351355 | + | 0.0108136i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −8.09857 | − | 24.9248i | −0.257650 | − | 0.792964i | ||||
\(989\) | −2.54114 | + | 7.82082i | −0.0808035 | + | 0.248688i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −5.32519 | − | 16.3892i | −0.169160 | − | 0.520621i | 0.830159 | − | 0.557527i | \(-0.188250\pi\) |
−0.999319 | + | 0.0369060i | \(0.988250\pi\) | |||||||
\(992\) | 62.0993 | − | 45.1178i | 1.97166 | − | 1.43249i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −70.7222 | + | 51.3827i | −2.24317 | + | 1.62976i | ||||
\(995\) | −5.62603 | − | 4.83485i | −0.178357 | − | 0.153275i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −1.28873 | − | 0.936317i | −0.0408145 | − | 0.0296535i | 0.567191 | − | 0.823586i | \(-0.308030\pi\) |
−0.608005 | + | 0.793933i | \(0.708030\pi\) | |||||||
\(998\) | −23.3320 | + | 71.8086i | −0.738563 | + | 2.27306i | ||||
\(999\) | 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 | 225.2.h.e.46.1 | ✓ | 16 | |
3.2 | odd | 2 | inner | 225.2.h.e.46.4 | yes | 16 | |
25.6 | even | 5 | inner | 225.2.h.e.181.1 | yes | 16 | |
25.9 | even | 10 | 5625.2.a.v.1.8 | 8 | |||
25.16 | even | 5 | 5625.2.a.w.1.1 | 8 | |||
75.41 | odd | 10 | 5625.2.a.w.1.8 | 8 | |||
75.56 | odd | 10 | inner | 225.2.h.e.181.4 | yes | 16 | |
75.59 | odd | 10 | 5625.2.a.v.1.1 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.2.h.e.46.1 | ✓ | 16 | 1.1 | even | 1 | trivial | |
225.2.h.e.46.4 | yes | 16 | 3.2 | odd | 2 | inner | |
225.2.h.e.181.1 | yes | 16 | 25.6 | even | 5 | inner | |
225.2.h.e.181.4 | yes | 16 | 75.56 | odd | 10 | inner | |
5625.2.a.v.1.1 | 8 | 75.59 | odd | 10 | |||
5625.2.a.v.1.8 | 8 | 25.9 | even | 10 | |||
5625.2.a.w.1.1 | 8 | 25.16 | even | 5 | |||
5625.2.a.w.1.8 | 8 | 75.41 | odd | 10 |