Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1386,2,Mod(701,1386)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1386, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 0, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1386.701");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1386 = 2 \cdot 3^{2} \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1386.bu (of order \(10\), 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: | \(11.0672657201\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 701.3 | ||
Character | \(\chi\) | \(=\) | 1386.701 |
Dual form | 1386.2.bu.a.953.3 |
$q$-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 \(\left(\mathbb{Z}/1386\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(1135\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.809017 | + | 0.587785i | −0.572061 | + | 0.415627i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.309017 | − | 0.951057i | 0.154508 | − | 0.475528i | ||||
\(5\) | −1.14907 | + | 1.58155i | −0.513878 | + | 0.707293i | −0.984567 | − | 0.175006i | \(-0.944005\pi\) |
0.470689 | + | 0.882299i | \(0.344005\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.951057 | − | 0.309017i | −0.359466 | − | 0.116797i | ||||
\(8\) | 0.309017 | + | 0.951057i | 0.109254 | + | 0.336249i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | − | 1.95491i | − | 0.618196i | ||||||
\(11\) | −3.11122 | + | 1.14906i | −0.938067 | + | 0.346455i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.07823 | − | 4.23682i | −0.853747 | − | 1.17508i | −0.983025 | − | 0.183474i | \(-0.941266\pi\) |
0.129277 | − | 0.991608i | \(-0.458734\pi\) | |||||||
\(14\) | 0.951057 | − | 0.309017i | 0.254181 | − | 0.0825883i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.809017 | − | 0.587785i | −0.202254 | − | 0.146946i | ||||
\(17\) | 5.56776 | + | 4.04522i | 1.35038 | + | 0.981109i | 0.998992 | + | 0.0448797i | \(0.0142904\pi\) |
0.351389 | + | 0.936230i | \(0.385710\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.10464 | + | 1.00876i | −0.712253 | + | 0.231425i | −0.642661 | − | 0.766150i | \(-0.722170\pi\) |
−0.0695919 | + | 0.997576i | \(0.522170\pi\) | |||||||
\(20\) | 1.14907 | + | 1.58155i | 0.256939 | + | 0.353646i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.84163 | − | 2.75834i | 0.392636 | − | 0.588079i | ||||
\(23\) | − | 4.67171i | − | 0.974119i | −0.873369 | − | 0.487059i | \(-0.838070\pi\) | ||
0.873369 | − | 0.487059i | \(-0.161930\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.364124 | + | 1.12066i | 0.0728249 | + | 0.224132i | ||||
\(26\) | 4.98068 | + | 1.61832i | 0.976792 | + | 0.317379i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.587785 | + | 0.809017i | −0.111081 | + | 0.152890i | ||||
\(29\) | 1.03594 | − | 3.18831i | 0.192370 | − | 0.592054i | −0.807627 | − | 0.589694i | \(-0.799249\pi\) |
0.999997 | − | 0.00236079i | \(-0.000751464\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 6.95040 | − | 5.04976i | 1.24833 | − | 0.906964i | 0.250205 | − | 0.968193i | \(-0.419502\pi\) |
0.998124 | + | 0.0612294i | \(0.0195021\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −6.88213 | −1.18028 | ||||||||
\(35\) | 1.58155 | − | 1.14907i | 0.267331 | − | 0.194228i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.00445 | − | 6.16906i | 0.329530 | − | 1.01419i | −0.639825 | − | 0.768521i | \(-0.720993\pi\) |
0.969354 | − | 0.245667i | \(-0.0790069\pi\) | |||||||
\(38\) | 1.91877 | − | 2.64096i | 0.311266 | − | 0.428421i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.85923 | − | 0.604100i | −0.293970 | − | 0.0955166i | ||||
\(41\) | −0.0804575 | − | 0.247623i | −0.0125653 | − | 0.0386722i | 0.944577 | − | 0.328289i | \(-0.106472\pi\) |
−0.957143 | + | 0.289617i | \(0.906472\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 0.320624i | − | 0.0488947i | −0.999701 | − | 0.0244473i | \(-0.992217\pi\) | ||
0.999701 | − | 0.0244473i | \(-0.00778260\pi\) | |||||||
\(44\) | 0.131402 | + | 3.31402i | 0.0198097 | + | 0.499607i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.74596 | + | 3.77949i | 0.404870 | + | 0.557256i | ||||
\(47\) | −2.31798 | + | 0.753158i | −0.338112 | + | 0.109859i | −0.473152 | − | 0.880981i | \(-0.656884\pi\) |
0.135040 | + | 0.990840i | \(0.456884\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.809017 | + | 0.587785i | 0.115574 | + | 0.0839693i | ||||
\(50\) | −0.953290 | − | 0.692606i | −0.134816 | − | 0.0979493i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −4.98068 | + | 1.61832i | −0.690696 | + | 0.224421i | ||||
\(53\) | 2.65509 | + | 3.65441i | 0.364704 | + | 0.501972i | 0.951452 | − | 0.307797i | \(-0.0995919\pi\) |
−0.586748 | + | 0.809770i | \(0.699592\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.75769 | − | 6.24090i | 0.237007 | − | 0.841523i | ||||
\(56\) | − | 1.00000i | − | 0.133631i | ||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 1.03594 | + | 3.18831i | 0.136026 | + | 0.418646i | ||||
\(59\) | 1.57908 | + | 0.513075i | 0.205579 | + | 0.0667967i | 0.409996 | − | 0.912087i | \(-0.365530\pi\) |
−0.204417 | + | 0.978884i | \(0.565530\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.29887 | − | 4.54051i | 0.422377 | − | 0.581353i | −0.543805 | − | 0.839211i | \(-0.683017\pi\) |
0.966183 | + | 0.257859i | \(0.0830170\pi\) | |||||||
\(62\) | −2.65482 | + | 8.17068i | −0.337162 | + | 1.03768i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | 10.2378 | 1.26985 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.70439 | 0.208224 | 0.104112 | − | 0.994566i | \(-0.466800\pi\) | ||||
0.104112 | + | 0.994566i | \(0.466800\pi\) | |||||||
\(68\) | 5.56776 | − | 4.04522i | 0.675191 | − | 0.490555i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.604100 | + | 1.85923i | −0.0722038 | + | 0.222220i | ||||
\(71\) | 0.800779 | − | 1.10218i | 0.0950350 | − | 0.130805i | −0.758852 | − | 0.651264i | \(-0.774239\pi\) |
0.853887 | + | 0.520459i | \(0.174239\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.13456 | + | 0.693562i | 0.249832 | + | 0.0811753i | 0.431256 | − | 0.902230i | \(-0.358071\pi\) |
−0.181424 | + | 0.983405i | \(0.558071\pi\) | |||||||
\(74\) | 2.00445 | + | 6.16906i | 0.233013 | + | 0.717139i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.26441i | 0.374454i | ||||||||
\(77\) | 3.31402 | − | 0.131402i | 0.377668 | − | 0.0149747i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −7.06493 | − | 9.72405i | −0.794867 | − | 1.09404i | −0.993485 | − | 0.113964i | \(-0.963645\pi\) |
0.198618 | − | 0.980077i | \(-0.436355\pi\) | |||||||
\(80\) | 1.85923 | − | 0.604100i | 0.207868 | − | 0.0675404i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.210640 | + | 0.153039i | 0.0232613 | + | 0.0169004i | ||||
\(83\) | 1.89373 | + | 1.37587i | 0.207864 | + | 0.151022i | 0.686847 | − | 0.726802i | \(-0.258994\pi\) |
−0.478983 | + | 0.877824i | \(0.658994\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −12.7955 | + | 4.15750i | −1.38786 | + | 0.450944i | ||||
\(86\) | 0.188458 | + | 0.259390i | 0.0203219 | + | 0.0279707i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −2.05424 | − | 2.60386i | −0.218983 | − | 0.277573i | ||||
\(89\) | − | 8.82988i | − | 0.935965i | −0.883738 | − | 0.467983i | \(-0.844981\pi\) | ||
0.883738 | − | 0.467983i | \(-0.155019\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.61832 | + | 4.98068i | 0.169646 | + | 0.522117i | ||||
\(92\) | −4.44306 | − | 1.44364i | −0.463221 | − | 0.150510i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.43259 | − | 1.97179i | 0.147761 | − | 0.203375i | ||||
\(95\) | 1.97203 | − | 6.06929i | 0.202326 | − | 0.622696i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 11.6907 | − | 8.49376i | 1.18701 | − | 0.862411i | 0.194062 | − | 0.980989i | \(-0.437834\pi\) |
0.992945 | + | 0.118579i | \(0.0378338\pi\) | |||||||
\(98\) | −1.00000 | −0.101015 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.17833 | 0.117833 | ||||||||
\(101\) | 11.1395 | − | 8.09333i | 1.10842 | − | 0.805317i | 0.126009 | − | 0.992029i | \(-0.459783\pi\) |
0.982415 | + | 0.186713i | \(0.0597833\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 3.73892 | − | 11.5072i | 0.368407 | − | 1.13384i | −0.579414 | − | 0.815034i | \(-0.696718\pi\) |
0.947820 | − | 0.318805i | \(-0.103282\pi\) | |||||||
\(104\) | 3.07823 | − | 4.23682i | 0.301845 | − | 0.415454i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −4.29602 | − | 1.39586i | −0.417266 | − | 0.135578i | ||||
\(107\) | 0.560019 | + | 1.72356i | 0.0541391 | + | 0.166623i | 0.974470 | − | 0.224518i | \(-0.0720806\pi\) |
−0.920331 | + | 0.391141i | \(0.872081\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 19.2419i | 1.84304i | 0.388327 | + | 0.921522i | \(0.373053\pi\) | ||||
−0.388327 | + | 0.921522i | \(0.626947\pi\) | |||||||
\(110\) | 2.24631 | + | 6.08214i | 0.214177 | + | 0.579910i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.587785 | + | 0.809017i | 0.0555405 | + | 0.0764449i | ||||
\(113\) | −6.10633 | + | 1.98407i | −0.574435 | + | 0.186645i | −0.581806 | − | 0.813328i | \(-0.697654\pi\) |
0.00737115 | + | 0.999973i | \(0.497654\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 7.38856 | + | 5.36811i | 0.688987 | + | 0.500578i | ||||
\(116\) | −2.71214 | − | 1.97048i | −0.251816 | − | 0.182955i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −1.57908 | + | 0.513075i | −0.145366 | + | 0.0472324i | ||||
\(119\) | −4.04522 | − | 5.56776i | −0.370824 | − | 0.510396i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 8.35932 | − | 7.14995i | 0.759938 | − | 0.649995i | ||||
\(122\) | 5.61238i | 0.508121i | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −2.65482 | − | 8.17068i | −0.238409 | − | 0.733749i | ||||
\(125\) | −11.4869 | − | 3.73233i | −1.02742 | − | 0.333830i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 7.11660 | − | 9.79516i | 0.631496 | − | 0.869180i | −0.366630 | − | 0.930367i | \(-0.619489\pi\) |
0.998126 | + | 0.0611868i | \(0.0194885\pi\) | |||||||
\(128\) | 0.309017 | − | 0.951057i | 0.0273135 | − | 0.0840623i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −8.28259 | + | 6.01766i | −0.726432 | + | 0.527783i | ||||
\(131\) | −5.58096 | −0.487611 | −0.243805 | − | 0.969824i | \(-0.578396\pi\) | ||||
−0.243805 | + | 0.969824i | \(0.578396\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.26441 | 0.283060 | ||||||||
\(134\) | −1.37888 | + | 1.00181i | −0.119117 | + | 0.0865436i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −2.12670 | + | 6.54530i | −0.182363 | + | 0.561255i | ||||
\(137\) | 12.4698 | − | 17.1631i | 1.06536 | − | 1.46635i | 0.190679 | − | 0.981653i | \(-0.438931\pi\) |
0.874684 | − | 0.484693i | \(-0.161069\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 8.60931 | + | 2.79733i | 0.730232 | + | 0.237267i | 0.650454 | − | 0.759546i | \(-0.274579\pi\) |
0.0797783 | + | 0.996813i | \(0.474579\pi\) | |||||||
\(140\) | −0.604100 | − | 1.85923i | −0.0510558 | − | 0.157134i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 1.36237i | 0.114327i | ||||||||
\(143\) | 14.4454 | + | 9.64459i | 1.20798 | + | 0.806521i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 3.85212 | + | 5.30198i | 0.319901 | + | 0.440306i | ||||
\(146\) | −2.13456 | + | 0.693562i | −0.176658 | + | 0.0573996i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −5.24772 | − | 3.81269i | −0.431360 | − | 0.313401i | ||||
\(149\) | −6.42716 | − | 4.66960i | −0.526533 | − | 0.382549i | 0.292526 | − | 0.956258i | \(-0.405504\pi\) |
−0.819059 | + | 0.573709i | \(0.805504\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 8.37006 | − | 2.71960i | 0.681146 | − | 0.221318i | 0.0520487 | − | 0.998645i | \(-0.483425\pi\) |
0.629097 | + | 0.777327i | \(0.283425\pi\) | |||||||
\(152\) | −1.91877 | − | 2.64096i | −0.155633 | − | 0.214210i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −2.60386 | + | 2.05424i | −0.209825 | + | 0.165535i | ||||
\(155\) | 16.7949i | 1.34900i | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.33097 | − | 10.2517i | −0.265841 | − | 0.818173i | −0.991499 | − | 0.130118i | \(-0.958465\pi\) |
0.725658 | − | 0.688056i | \(-0.241535\pi\) | |||||||
\(158\) | 11.4313 | + | 3.71426i | 0.909426 | + | 0.295490i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.14907 | + | 1.58155i | −0.0908417 | + | 0.125033i | ||||
\(161\) | −1.44364 | + | 4.44306i | −0.113775 | + | 0.350162i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −5.06912 | + | 3.68293i | −0.397044 | + | 0.288469i | −0.768336 | − | 0.640047i | \(-0.778915\pi\) |
0.371292 | + | 0.928516i | \(0.378915\pi\) | |||||||
\(164\) | −0.260366 | −0.0203312 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −2.34078 | −0.181680 | ||||||||
\(167\) | −11.7727 | + | 8.55336i | −0.910998 | + | 0.661879i | −0.941267 | − | 0.337663i | \(-0.890364\pi\) |
0.0302691 | + | 0.999542i | \(0.490364\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −4.45792 | + | 13.7201i | −0.342917 | + | 1.05539i | ||||
\(170\) | 7.90803 | − | 10.8845i | 0.606518 | − | 0.834801i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.304931 | − | 0.0990782i | −0.0232508 | − | 0.00755464i | ||||
\(173\) | 0.462448 | + | 1.42327i | 0.0351593 | + | 0.108209i | 0.967096 | − | 0.254412i | \(-0.0818819\pi\) |
−0.931937 | + | 0.362621i | \(0.881882\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | − | 1.17833i | − | 0.0890735i | ||||||
\(176\) | 3.19243 | + | 0.899118i | 0.240638 | + | 0.0677735i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 5.19007 | + | 7.14352i | 0.389012 | + | 0.535429i | ||||
\(179\) | −18.5406 | + | 6.02420i | −1.38579 | + | 0.450270i | −0.904568 | − | 0.426330i | \(-0.859806\pi\) |
−0.481220 | + | 0.876600i | \(0.659806\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 13.5248 | + | 9.82635i | 1.00529 | + | 0.730387i | 0.963216 | − | 0.268727i | \(-0.0866031\pi\) |
0.0420753 | + | 0.999114i | \(0.486603\pi\) | |||||||
\(182\) | −4.23682 | − | 3.07823i | −0.314054 | − | 0.228174i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 4.44306 | − | 1.44364i | 0.327547 | − | 0.106426i | ||||
\(185\) | 7.45346 | + | 10.2588i | 0.547989 | + | 0.754243i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −21.9707 | − | 6.18785i | −1.60666 | − | 0.452500i | ||||
\(188\) | 2.43727i | 0.177756i | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1.97203 | + | 6.06929i | 0.143066 | + | 0.440312i | ||||
\(191\) | 12.4400 | + | 4.04200i | 0.900127 | + | 0.292469i | 0.722289 | − | 0.691591i | \(-0.243090\pi\) |
0.177837 | + | 0.984060i | \(0.443090\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 0.344321 | − | 0.473918i | 0.0247848 | − | 0.0341133i | −0.796445 | − | 0.604711i | \(-0.793289\pi\) |
0.821230 | + | 0.570598i | \(0.193289\pi\) | |||||||
\(194\) | −4.46543 | + | 13.7432i | −0.320599 | + | 0.986704i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.809017 | − | 0.587785i | 0.0577869 | − | 0.0419847i | ||||
\(197\) | −13.1723 | −0.938485 | −0.469243 | − | 0.883069i | \(-0.655473\pi\) | ||||
−0.469243 | + | 0.883069i | \(0.655473\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 18.0436 | 1.27908 | 0.639540 | − | 0.768758i | \(-0.279125\pi\) | ||||
0.639540 | + | 0.768758i | \(0.279125\pi\) | |||||||
\(200\) | −0.953290 | + | 0.692606i | −0.0674078 | + | 0.0489746i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −4.25492 | + | 13.0953i | −0.299375 | + | 0.921381i | ||||
\(203\) | −1.97048 | + | 2.71214i | −0.138301 | + | 0.190355i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.484080 | + | 0.157287i | 0.0338096 | + | 0.0109854i | ||||
\(206\) | 3.73892 | + | 11.5072i | 0.260503 | + | 0.801745i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 5.23700i | 0.363120i | ||||||||
\(209\) | 8.50008 | − | 6.70588i | 0.587963 | − | 0.463856i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −14.5077 | − | 19.9681i | −0.998751 | − | 1.37466i | −0.926088 | − | 0.377306i | \(-0.876850\pi\) |
−0.0726627 | − | 0.997357i | \(-0.523150\pi\) | |||||||
\(212\) | 4.29602 | − | 1.39586i | 0.295052 | − | 0.0958682i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −1.46615 | − | 1.06522i | −0.100224 | − | 0.0728169i | ||||
\(215\) | 0.507084 | + | 0.368418i | 0.0345828 | + | 0.0251259i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −8.17068 | + | 2.65482i | −0.554662 | + | 0.180221i | ||||
\(218\) | −11.3101 | − | 15.5671i | −0.766018 | − | 1.05433i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −5.39229 | − | 3.60021i | −0.363548 | − | 0.242726i | ||||
\(221\) | − | 36.0417i | − | 2.42443i | ||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 5.28842 | + | 16.2761i | 0.354139 | + | 1.08993i | 0.956507 | + | 0.291709i | \(0.0942240\pi\) |
−0.602368 | + | 0.798219i | \(0.705776\pi\) | |||||||
\(224\) | −0.951057 | − | 0.309017i | −0.0635451 | − | 0.0206471i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 3.77392 | − | 5.19435i | 0.251037 | − | 0.345523i | ||||
\(227\) | −0.728652 | + | 2.24256i | −0.0483623 | + | 0.148844i | −0.972321 | − | 0.233647i | \(-0.924934\pi\) |
0.923959 | + | 0.382491i | \(0.124934\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 2.84743 | − | 2.06878i | 0.188163 | − | 0.136709i | −0.489715 | − | 0.871882i | \(-0.662899\pi\) |
0.677879 | + | 0.735174i | \(0.262899\pi\) | |||||||
\(230\) | −9.13277 | −0.602197 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 3.35239 | 0.220095 | ||||||||
\(233\) | −12.4768 | + | 9.06495i | −0.817384 | + | 0.593864i | −0.915962 | − | 0.401265i | \(-0.868571\pi\) |
0.0985777 | + | 0.995129i | \(0.468571\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.47236 | − | 4.53144i | 0.0960459 | − | 0.295599i | ||||
\(236\) | 0.975927 | − | 1.34325i | 0.0635275 | − | 0.0874381i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 6.54530 | + | 2.12670i | 0.424269 | + | 0.137853i | ||||
\(239\) | −7.27591 | − | 22.3929i | −0.470639 | − | 1.44848i | −0.851750 | − | 0.523949i | \(-0.824458\pi\) |
0.381110 | − | 0.924530i | \(-0.375542\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | − | 8.11384i | − | 0.522658i | −0.965250 | − | 0.261329i | \(-0.915839\pi\) | ||
0.965250 | − | 0.261329i | \(-0.0841608\pi\) | |||||||
\(242\) | −2.56020 | + | 10.6979i | −0.164576 | + | 0.687688i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −3.29887 | − | 4.54051i | −0.211189 | − | 0.290676i | ||||
\(245\) | −1.85923 | + | 0.604100i | −0.118782 | + | 0.0385945i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 13.8307 | + | 10.0486i | 0.880028 | + | 0.639377i | ||||
\(248\) | 6.95040 | + | 5.04976i | 0.441351 | + | 0.320660i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 11.4869 | − | 3.73233i | 0.726497 | − | 0.236053i | ||||
\(251\) | −10.5149 | − | 14.4725i | −0.663694 | − | 0.913496i | 0.335903 | − | 0.941897i | \(-0.390959\pi\) |
−0.999597 | + | 0.0284003i | \(0.990959\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 5.36807 | + | 14.5347i | 0.337488 | + | 0.913788i | ||||
\(254\) | 12.1075i | 0.759691i | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | 19.4257 | + | 6.31180i | 1.21174 | + | 0.393719i | 0.844069 | − | 0.536235i | \(-0.180154\pi\) |
0.367675 | + | 0.929954i | \(0.380154\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −3.81269 | + | 5.24772i | −0.236909 | + | 0.326077i | ||||
\(260\) | 3.16367 | − | 9.73677i | 0.196202 | − | 0.603849i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 4.51509 | − | 3.28041i | 0.278943 | − | 0.202664i | ||||
\(263\) | −22.0512 | −1.35973 | −0.679866 | − | 0.733336i | \(-0.737962\pi\) | ||||
−0.679866 | + | 0.733336i | \(0.737962\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −8.83053 | −0.542455 | ||||||||
\(266\) | −2.64096 | + | 1.91877i | −0.161928 | + | 0.117648i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.526685 | − | 1.62097i | 0.0321724 | − | 0.0990165i | ||||
\(269\) | 17.8555 | − | 24.5760i | 1.08867 | − | 1.49842i | 0.239063 | − | 0.971004i | \(-0.423160\pi\) |
0.849605 | − | 0.527419i | \(-0.176840\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −16.2268 | − | 5.27241i | −0.985709 | − | 0.320276i | −0.228568 | − | 0.973528i | \(-0.573404\pi\) |
−0.757141 | + | 0.653252i | \(0.773404\pi\) | |||||||
\(272\) | −2.12670 | − | 6.54530i | −0.128950 | − | 0.396867i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 21.2148i | 1.28163i | ||||||||
\(275\) | −2.42057 | − | 3.06821i | −0.145966 | − | 0.185020i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 15.7626 | + | 21.6953i | 0.947081 | + | 1.30354i | 0.952812 | + | 0.303561i | \(0.0981757\pi\) |
−0.00573112 | + | 0.999984i | \(0.501824\pi\) | |||||||
\(278\) | −8.60931 | + | 2.79733i | −0.516352 | + | 0.167773i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 1.58155 | + | 1.14907i | 0.0945160 | + | 0.0686699i | ||||
\(281\) | −23.4861 | − | 17.0636i | −1.40106 | − | 1.01793i | −0.994547 | − | 0.104288i | \(-0.966744\pi\) |
−0.406516 | − | 0.913644i | \(-0.633256\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −4.15948 | + | 1.35150i | −0.247255 | + | 0.0803381i | −0.430023 | − | 0.902818i | \(-0.641494\pi\) |
0.182767 | + | 0.983156i | \(0.441494\pi\) | |||||||
\(284\) | −0.800779 | − | 1.10218i | −0.0475175 | − | 0.0654023i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −17.3555 | + | 0.688154i | −1.02625 | + | 0.0406914i | ||||
\(287\) | 0.260366i | 0.0153689i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 9.38292 | + | 28.8777i | 0.551937 | + | 1.69869i | ||||
\(290\) | −6.23286 | − | 2.02518i | −0.366006 | − | 0.118923i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 1.31923 | − | 1.81577i | 0.0772023 | − | 0.106260i | ||||
\(293\) | −3.17574 | + | 9.77392i | −0.185529 | + | 0.570999i | −0.999957 | − | 0.00926552i | \(-0.997051\pi\) |
0.814428 | + | 0.580264i | \(0.197051\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.62593 | + | 1.90785i | −0.152888 | + | 0.111079i | ||||
\(296\) | 6.48654 | 0.377022 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 7.94441 | 0.460207 | ||||||||
\(299\) | −19.7932 | + | 14.3806i | −1.14467 | + | 0.831651i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.0990782 | + | 0.304931i | −0.00571077 | + | 0.0175759i | ||||
\(302\) | −5.17298 | + | 7.12000i | −0.297672 | + | 0.409710i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 3.10464 | + | 1.00876i | 0.178063 | + | 0.0578563i | ||||
\(305\) | 3.39044 | + | 10.4347i | 0.194136 | + | 0.597489i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 5.94602i | 0.339357i | 0.985499 | + | 0.169679i | \(0.0542729\pi\) | ||||
−0.985499 | + | 0.169679i | \(0.945727\pi\) | |||||||
\(308\) | 0.899118 | − | 3.19243i | 0.0512320 | − | 0.181905i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −9.87182 | − | 13.5874i | −0.560682 | − | 0.771712i | ||||
\(311\) | −11.5815 | + | 3.76307i | −0.656729 | + | 0.213384i | −0.618379 | − | 0.785880i | \(-0.712210\pi\) |
−0.0383503 | + | 0.999264i | \(0.512210\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −6.48792 | − | 4.71375i | −0.366719 | − | 0.266437i | 0.389130 | − | 0.921183i | \(-0.372776\pi\) |
−0.755849 | + | 0.654746i | \(0.772776\pi\) | |||||||
\(314\) | 8.72060 | + | 6.33589i | 0.492132 | + | 0.357555i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −11.4313 | + | 3.71426i | −0.643061 | + | 0.208943i | ||||
\(317\) | 17.9866 | + | 24.7564i | 1.01023 | + | 1.39046i | 0.918835 | + | 0.394643i | \(0.129132\pi\) |
0.0913923 | + | 0.995815i | \(0.470868\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.440512 | + | 11.1099i | 0.0246639 | + | 0.622034i | ||||
\(320\) | − | 1.95491i | − | 0.109283i | ||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −1.44364 | − | 4.44306i | −0.0804508 | − | 0.247602i | ||||
\(323\) | −21.3665 | − | 6.94241i | −1.18887 | − | 0.386286i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 3.62717 | − | 4.99238i | 0.201199 | − | 0.276927i | ||||
\(326\) | 1.93623 | − | 5.95911i | 0.107238 | − | 0.330044i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0.210640 | − | 0.153039i | 0.0116307 | − | 0.00845018i | ||||
\(329\) | 2.43727 | 0.134371 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −31.9390 | −1.75553 | −0.877763 | − | 0.479096i | \(-0.840965\pi\) | ||||
−0.877763 | + | 0.479096i | \(0.840965\pi\) | |||||||
\(332\) | 1.89373 | − | 1.37587i | 0.103932 | − | 0.0755109i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 4.49677 | − | 13.8396i | 0.246052 | − | 0.757271i | ||||
\(335\) | −1.95846 | + | 2.69558i | −0.107002 | + | 0.147275i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −9.39201 | − | 3.05165i | −0.511615 | − | 0.166234i | 0.0418214 | − | 0.999125i | \(-0.486684\pi\) |
−0.553437 | + | 0.832891i | \(0.686684\pi\) | |||||||
\(338\) | −4.45792 | − | 13.7201i | −0.242479 | − | 0.746273i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 13.4539i | 0.729643i | ||||||||
\(341\) | −15.8217 | + | 23.6973i | −0.856794 | + | 1.28328i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −0.587785 | − | 0.809017i | −0.0317374 | − | 0.0436828i | ||||
\(344\) | 0.304931 | − | 0.0990782i | 0.0164408 | − | 0.00534194i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −1.21071 | − | 0.879629i | −0.0650879 | − | 0.0472892i | ||||
\(347\) | −16.7859 | − | 12.1957i | −0.901116 | − | 0.654699i | 0.0376362 | − | 0.999292i | \(-0.488017\pi\) |
−0.938752 | + | 0.344592i | \(0.888017\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −26.4949 | + | 8.60871i | −1.41824 | + | 0.460814i | −0.915042 | − | 0.403358i | \(-0.867843\pi\) |
−0.503197 | + | 0.864172i | \(0.667843\pi\) | |||||||
\(350\) | 0.692606 | + | 0.953290i | 0.0370213 | + | 0.0509555i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −3.11122 | + | 1.14906i | −0.165828 | + | 0.0612451i | ||||
\(353\) | 15.8540i | 0.843826i | 0.906636 | + | 0.421913i | \(0.138641\pi\) | ||||
−0.906636 | + | 0.421913i | \(0.861359\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.823006 | + | 2.53295i | 0.0436806 | + | 0.134435i | ||||
\(356\) | −8.39771 | − | 2.72858i | −0.445078 | − | 0.144615i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 11.4587 | − | 15.7716i | 0.605612 | − | 0.833553i | ||||
\(359\) | 1.13824 | − | 3.50315i | 0.0600742 | − | 0.184889i | −0.916516 | − | 0.399998i | \(-0.869011\pi\) |
0.976590 | + | 0.215109i | \(0.0690107\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −6.75013 | + | 4.90426i | −0.355270 | + | 0.258119i | ||||
\(362\) | −16.7176 | −0.878657 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 5.23700 | 0.274493 | ||||||||
\(365\) | −3.54966 | + | 2.57898i | −0.185798 | + | 0.134990i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 8.49646 | − | 26.1494i | 0.443512 | − | 1.36499i | −0.440596 | − | 0.897705i | \(-0.645233\pi\) |
0.884108 | − | 0.467283i | \(-0.154767\pi\) | |||||||
\(368\) | −2.74596 | + | 3.77949i | −0.143143 | + | 0.197020i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −12.0600 | − | 3.91852i | −0.626967 | − | 0.203714i | ||||
\(371\) | −1.39586 | − | 4.29602i | −0.0724695 | − | 0.223038i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 30.7864i | 1.59406i | 0.603940 | + | 0.797030i | \(0.293597\pi\) | ||||
−0.603940 | + | 0.797030i | \(0.706403\pi\) | |||||||
\(374\) | 21.4118 | − | 7.90799i | 1.10718 | − | 0.408912i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.43259 | − | 1.97179i | −0.0738803 | − | 0.101687i | ||||
\(377\) | −16.6972 | + | 5.42524i | −0.859948 | + | 0.279414i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 18.2132 | + | 13.2326i | 0.935547 | + | 0.679715i | 0.947345 | − | 0.320216i | \(-0.103755\pi\) |
−0.0117977 | + | 0.999930i | \(0.503755\pi\) | |||||||
\(380\) | −5.16284 | − | 3.75103i | −0.264848 | − | 0.192424i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −12.4400 | + | 4.04200i | −0.636486 | + | 0.206807i | ||||
\(383\) | −2.75854 | − | 3.79681i | −0.140955 | − | 0.194008i | 0.732703 | − | 0.680549i | \(-0.238258\pi\) |
−0.873658 | + | 0.486541i | \(0.838258\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −3.60021 | + | 5.39229i | −0.183484 | + | 0.274817i | ||||
\(386\) | 0.585794i | 0.0298162i | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −4.46543 | − | 13.7432i | −0.226698 | − | 0.697705i | ||||
\(389\) | −33.1759 | − | 10.7795i | −1.68208 | − | 0.546543i | −0.696771 | − | 0.717294i | \(-0.745381\pi\) |
−0.985314 | + | 0.170751i | \(0.945381\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 18.8981 | − | 26.0110i | 0.955717 | − | 1.31543i | ||||
\(392\) | −0.309017 | + | 0.951057i | −0.0156077 | + | 0.0480356i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 10.6566 | − | 7.74246i | 0.536871 | − | 0.390060i | ||||
\(395\) | 23.4972 | 1.18227 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 11.1675 | 0.560479 | 0.280239 | − | 0.959930i | \(-0.409586\pi\) | ||||
0.280239 | + | 0.959930i | \(0.409586\pi\) | |||||||
\(398\) | −14.5976 | + | 10.6058i | −0.731712 | + | 0.531620i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.364124 | − | 1.12066i | 0.0182062 | − | 0.0560330i | ||||
\(401\) | 5.17312 | − | 7.12019i | 0.258333 | − | 0.355565i | −0.660075 | − | 0.751200i | \(-0.729475\pi\) |
0.918408 | + | 0.395635i | \(0.129475\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −42.7898 | − | 13.9033i | −2.13151 | − | 0.692571i | ||||
\(404\) | −4.25492 | − | 13.0953i | −0.211690 | − | 0.651515i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | − | 3.35239i | − | 0.166376i | ||||||
\(407\) | 0.852347 | + | 21.4965i | 0.0422493 | + | 1.06554i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −17.4107 | − | 23.9638i | −0.860905 | − | 1.18493i | −0.981353 | − | 0.192214i | \(-0.938433\pi\) |
0.120448 | − | 0.992720i | \(-0.461567\pi\) | |||||||
\(410\) | −0.484080 | + | 0.157287i | −0.0239070 | + | 0.00776785i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −9.78861 | − | 7.11184i | −0.482250 | − | 0.350375i | ||||
\(413\) | −1.34325 | − | 0.975927i | −0.0660970 | − | 0.0480223i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4.35204 | + | 1.41406i | −0.213633 | + | 0.0694136i | ||||
\(416\) | −3.07823 | − | 4.23682i | −0.150923 | − | 0.207727i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −2.93509 | + | 10.4214i | −0.143560 | + | 0.509727i | ||||
\(419\) | − | 35.5244i | − | 1.73548i | −0.497016 | − | 0.867741i | \(-0.665571\pi\) | ||
0.497016 | − | 0.867741i | \(-0.334429\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −5.63824 | − | 17.3527i | −0.274791 | − | 0.845720i | −0.989275 | − | 0.146068i | \(-0.953338\pi\) |
0.714483 | − | 0.699652i | \(-0.246662\pi\) | |||||||
\(422\) | 23.4739 | + | 7.62715i | 1.14269 | + | 0.371284i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −2.65509 | + | 3.65441i | −0.128942 | + | 0.177474i | ||||
\(425\) | −2.50595 | + | 7.71253i | −0.121557 | + | 0.374113i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −4.54051 | + | 3.29887i | −0.219731 | + | 0.159644i | ||||
\(428\) | 1.81226 | 0.0875989 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.626790 | −0.0302265 | ||||||||
\(431\) | −27.3723 | + | 19.8871i | −1.31848 | + | 0.957930i | −0.318528 | + | 0.947913i | \(0.603188\pi\) |
−0.999950 | + | 0.0100167i | \(0.996812\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −2.25019 | + | 6.92536i | −0.108137 | + | 0.332812i | −0.990454 | − | 0.137844i | \(-0.955983\pi\) |
0.882317 | + | 0.470656i | \(0.155983\pi\) | |||||||
\(434\) | 5.04976 | − | 6.95040i | 0.242396 | − | 0.333630i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 18.3002 | + | 5.94609i | 0.876419 | + | 0.284766i | ||||
\(437\) | 4.71263 | + | 14.5040i | 0.225436 | + | 0.693819i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | − | 28.9329i | − | 1.38089i | −0.723385 | − | 0.690445i | \(-0.757415\pi\) | ||
0.723385 | − | 0.690445i | \(-0.242585\pi\) | |||||||
\(440\) | 6.47861 | − | 0.256880i | 0.308856 | − | 0.0122463i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 21.1848 | + | 29.1584i | 1.00766 | + | 1.38692i | ||||
\(443\) | 12.5921 | − | 4.09143i | 0.598270 | − | 0.194390i | 0.00580119 | − | 0.999983i | \(-0.498153\pi\) |
0.592469 | + | 0.805594i | \(0.298153\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 13.9649 | + | 10.1461i | 0.662001 | + | 0.480972i | ||||
\(446\) | −13.8453 | − | 10.0592i | −0.655593 | − | 0.476316i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.951057 | − | 0.309017i | 0.0449332 | − | 0.0145997i | ||||
\(449\) | 17.6543 | + | 24.2991i | 0.833159 | + | 1.14674i | 0.987327 | + | 0.158700i | \(0.0507302\pi\) |
−0.154168 | + | 0.988045i | \(0.549270\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.534854 | + | 0.677957i | 0.0251853 | + | 0.0319237i | ||||
\(452\) | 6.42057i | 0.301998i | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −0.728652 | − | 2.24256i | −0.0341973 | − | 0.105249i | ||||
\(455\) | −9.73677 | − | 3.16367i | −0.456467 | − | 0.148315i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 6.32507 | − | 8.70571i | 0.295874 | − | 0.407236i | −0.635037 | − | 0.772482i | \(-0.719015\pi\) |
0.930911 | + | 0.365246i | \(0.119015\pi\) | |||||||
\(458\) | −1.08762 | + | 3.34735i | −0.0508212 | + | 0.156412i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 7.38856 | − | 5.36811i | 0.344494 | − | 0.250289i | ||||
\(461\) | 34.3208 | 1.59848 | 0.799240 | − | 0.601012i | \(-0.205236\pi\) | ||||
0.799240 | + | 0.601012i | \(0.205236\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −9.62362 | −0.447248 | −0.223624 | − | 0.974676i | \(-0.571789\pi\) | ||||
−0.223624 | + | 0.974676i | \(0.571789\pi\) | |||||||
\(464\) | −2.71214 | + | 1.97048i | −0.125908 | + | 0.0914774i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 4.76573 | − | 14.6674i | 0.220768 | − | 0.679454i | ||||
\(467\) | 12.9233 | − | 17.7874i | 0.598018 | − | 0.823102i | −0.397507 | − | 0.917599i | \(-0.630124\pi\) |
0.995525 | + | 0.0944977i | \(0.0301245\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.62097 | − | 0.526685i | −0.0748495 | − | 0.0243201i | ||||
\(470\) | 1.47236 | + | 4.53144i | 0.0679147 | + | 0.209020i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 1.66035i | 0.0764237i | ||||||||
\(473\) | 0.368416 | + | 0.997529i | 0.0169398 | + | 0.0458664i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −2.26095 | − | 3.11193i | −0.103740 | − | 0.142785i | ||||
\(476\) | −6.54530 | + | 2.12670i | −0.300003 | + | 0.0974770i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 19.0486 | + | 13.8396i | 0.871261 | + | 0.633008i | ||||
\(479\) | 22.1314 | + | 16.0794i | 1.01121 | + | 0.734688i | 0.964463 | − | 0.264219i | \(-0.0851142\pi\) |
0.0467482 | + | 0.998907i | \(0.485114\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −32.3074 | + | 10.4973i | −1.47309 | + | 0.478635i | ||||
\(482\) | 4.76919 | + | 6.56423i | 0.217231 | + | 0.298993i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −4.21683 | − | 10.1596i | −0.191674 | − | 0.461802i | ||||
\(485\) | 28.2493i | 1.28273i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 10.9951 | + | 33.8393i | 0.498233 | + | 1.53340i | 0.811856 | + | 0.583857i | \(0.198457\pi\) |
−0.313623 | + | 0.949548i | \(0.601543\pi\) | |||||||
\(488\) | 5.33769 | + | 1.73432i | 0.241626 | + | 0.0785090i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 1.14907 | − | 1.58155i | 0.0519095 | − | 0.0714473i | ||||
\(491\) | 0.355412 | − | 1.09384i | 0.0160395 | − | 0.0493645i | −0.942716 | − | 0.333595i | \(-0.891738\pi\) |
0.958756 | + | 0.284231i | \(0.0917381\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 18.6653 | − | 13.5611i | 0.840643 | − | 0.610763i | ||||
\(494\) | −17.0957 | −0.769172 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −8.59116 | −0.385755 | ||||||||
\(497\) | −1.10218 | + | 0.800779i | −0.0494395 | + | 0.0359199i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 8.61195 | − | 26.5048i | 0.385524 | − | 1.18652i | −0.550576 | − | 0.834785i | \(-0.685592\pi\) |
0.936100 | − | 0.351735i | \(-0.114408\pi\) | |||||||
\(500\) | −7.09931 | + | 9.77137i | −0.317491 | + | 0.436989i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 17.0135 | + | 5.52801i | 0.759347 | + | 0.246727i | ||||
\(503\) | −9.15395 | − | 28.1730i | −0.408154 | − | 1.25617i | −0.918232 | − | 0.396042i | \(-0.870384\pi\) |
0.510078 | − | 0.860128i | \(-0.329616\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 26.9175i | 1.19781i | ||||||||
\(506\) | −12.8861 | − | 8.60354i | −0.572859 | − | 0.382474i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −7.11660 | − | 9.79516i | −0.315748 | − | 0.434590i | ||||
\(509\) | 8.06771 | − | 2.62136i | 0.357595 | − | 0.116190i | −0.124710 | − | 0.992193i | \(-0.539800\pi\) |
0.482304 | + | 0.876004i | \(0.339800\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.81577 | − | 1.31923i | −0.0803249 | − | 0.0583595i | ||||
\(512\) | −0.809017 | − | 0.587785i | −0.0357538 | − | 0.0259767i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −19.4257 | + | 6.31180i | −0.856832 | + | 0.278402i | ||||
\(515\) | 13.9030 | + | 19.1358i | 0.612640 | + | 0.843226i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 6.34632 | − | 5.00674i | 0.279111 | − | 0.220196i | ||||
\(518\) | − | 6.48654i | − | 0.285002i | ||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 3.16367 | + | 9.73677i | 0.138736 | + | 0.426986i | ||||
\(521\) | −18.8924 | − | 6.13851i | −0.827691 | − | 0.268933i | −0.135618 | − | 0.990761i | \(-0.543302\pi\) |
−0.692072 | + | 0.721828i | \(0.743302\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 6.99315 | − | 9.62524i | 0.305789 | − | 0.420882i | −0.628273 | − | 0.777993i | \(-0.716238\pi\) |
0.934062 | + | 0.357110i | \(0.116238\pi\) | |||||||
\(524\) | −1.72461 | + | 5.30781i | −0.0753400 | + | 0.231873i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 17.8398 | − | 12.9613i | 0.777851 | − | 0.565141i | ||||
\(527\) | 59.1255 | 2.57555 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 1.17513 | 0.0510925 | ||||||||
\(530\) | 7.14405 | − | 5.19045i | 0.310318 | − | 0.225459i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 1.00876 | − | 3.10464i | 0.0437352 | − | 0.134603i | ||||
\(533\) | −0.801466 | + | 1.10312i | −0.0347153 | + | 0.0477816i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −3.36941 | − | 1.09479i | −0.145672 | − | 0.0473318i | ||||
\(536\) | 0.526685 | + | 1.62097i | 0.0227493 | + | 0.0700152i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 30.3776i | 1.30967i | ||||||||
\(539\) | −3.19243 | − | 0.899118i | −0.137508 | − | 0.0387277i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 8.25934 | + | 11.3680i | 0.355097 | + | 0.488749i | 0.948774 | − | 0.315954i | \(-0.102325\pi\) |
−0.593678 | + | 0.804703i | \(0.702325\pi\) | |||||||
\(542\) | 16.2268 | − | 5.27241i | 0.697001 | − | 0.226469i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 5.56776 | + | 4.04522i | 0.238716 | + | 0.173437i | ||||
\(545\) | −30.4322 | − | 22.1103i | −1.30357 | − | 0.947100i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −24.7835 | + | 8.05264i | −1.05966 | + | 0.344306i | −0.786454 | − | 0.617648i | \(-0.788085\pi\) |
−0.273210 | + | 0.961954i | \(0.588085\pi\) | |||||||
\(548\) | −12.4698 | − | 17.1631i | −0.532681 | − | 0.733173i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 3.76174 | + | 1.05946i | 0.160401 | + | 0.0451755i | ||||
\(551\) | 10.9436i | 0.466212i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 3.71426 | + | 11.4313i | 0.157946 | + | 0.486108i | ||||
\(554\) | −25.5044 | − | 8.28687i | −1.08358 | − | 0.352075i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 5.32085 | − | 7.32352i | 0.225654 | − | 0.310586i | ||||
\(557\) | −1.38688 | + | 4.26838i | −0.0587641 | + | 0.180857i | −0.976130 | − | 0.217188i | \(-0.930311\pi\) |
0.917366 | + | 0.398046i | \(0.130311\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1.35842 | + | 0.986953i | −0.0574552 | + | 0.0417437i | ||||
\(560\) | −1.95491 | −0.0826100 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 29.0304 | 1.22457 | ||||||||
\(563\) | 1.73678 | − | 1.26184i | 0.0731963 | − | 0.0531803i | −0.550585 | − | 0.834779i | \(-0.685595\pi\) |
0.623782 | + | 0.781599i | \(0.285595\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 3.87867 | − | 11.9373i | 0.163177 | − | 0.502206i | ||||
\(566\) | 2.57070 | − | 3.53826i | 0.108055 | − | 0.148724i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 1.29569 | + | 0.420995i | 0.0543659 | + | 0.0176645i | ||||
\(569\) | 1.71658 | + | 5.28308i | 0.0719626 | + | 0.221478i | 0.980569 | − | 0.196176i | \(-0.0628524\pi\) |
−0.908606 | + | 0.417654i | \(0.862852\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 31.2300i | − | 1.30693i | −0.756955 | − | 0.653467i | \(-0.773314\pi\) | ||
0.756955 | − | 0.653467i | \(-0.226686\pi\) | |||||||
\(572\) | 13.6364 | − | 10.7580i | 0.570167 | − | 0.449816i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −0.153039 | − | 0.210640i | −0.00638773 | − | 0.00879196i | ||||
\(575\) | 5.23540 | − | 1.70108i | 0.218331 | − | 0.0709401i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 16.0220 | + | 11.6407i | 0.667005 | + | 0.484608i | 0.869021 | − | 0.494775i | \(-0.164749\pi\) |
−0.202016 | + | 0.979382i | \(0.564749\pi\) | |||||||
\(578\) | −24.5648 | − | 17.8474i | −1.02176 | − | 0.742353i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 6.23286 | − | 2.02518i | 0.258805 | − | 0.0840909i | ||||
\(581\) | −1.37587 | − | 1.89373i | −0.0570809 | − | 0.0785651i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −12.4597 | − | 8.31882i | −0.516028 | − | 0.344530i | ||||
\(584\) | 2.24441i | 0.0928745i | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −3.17574 | − | 9.77392i | −0.131189 | − | 0.403757i | ||||
\(587\) | 8.96778 | + | 2.91381i | 0.370140 | + | 0.120266i | 0.488180 | − | 0.872743i | \(-0.337661\pi\) |
−0.118040 | + | 0.993009i | \(0.537661\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −16.4845 | + | 22.6890i | −0.679232 | + | 0.934882i | ||||
\(590\) | 1.00302 | − | 3.08696i | 0.0412935 | − | 0.127088i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −5.24772 | + | 3.81269i | −0.215680 | + | 0.156701i | ||||
\(593\) | 39.8227 | 1.63532 | 0.817662 | − | 0.575699i | \(-0.195270\pi\) | ||||
0.817662 | + | 0.575699i | \(0.195270\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 13.4539 | 0.551558 | ||||||||
\(596\) | −6.42716 | + | 4.66960i | −0.263267 | + | 0.191274i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 7.56033 | − | 23.2683i | 0.309165 | − | 0.951511i | ||||
\(599\) | 17.7566 | − | 24.4398i | 0.725514 | − | 0.998584i | −0.273809 | − | 0.961784i | \(-0.588284\pi\) |
0.999323 | − | 0.0367999i | \(-0.0117164\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 18.6733 | + | 6.06731i | 0.761699 | + | 0.247491i | 0.664007 | − | 0.747726i | \(-0.268854\pi\) |
0.0976911 | + | 0.995217i | \(0.468854\pi\) | |||||||
\(602\) | −0.0990782 | − | 0.304931i | −0.00403812 | − | 0.0124281i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | − | 8.80080i | − | 0.358099i | ||||||
\(605\) | 1.70261 | + | 21.4365i | 0.0692210 | + | 0.871517i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 28.7589 | + | 39.5832i | 1.16729 | + | 1.60663i | 0.679513 | + | 0.733664i | \(0.262191\pi\) |
0.487775 | + | 0.872970i | \(0.337809\pi\) | |||||||
\(608\) | −3.10464 | + | 1.00876i | −0.125910 | + | 0.0409106i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −8.87628 | − | 6.44900i | −0.359390 | − | 0.261112i | ||||
\(611\) | 10.3263 | + | 7.50248i | 0.417756 | + | 0.303518i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −12.4850 | + | 4.05662i | −0.504265 | + | 0.163845i | −0.550092 | − | 0.835104i | \(-0.685407\pi\) |
0.0458277 | + | 0.998949i | \(0.485407\pi\) | |||||||
\(614\) | −3.49498 | − | 4.81043i | −0.141046 | − | 0.194133i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1.14906 | + | 3.11122i | 0.0462969 | + | 0.125354i | ||||
\(617\) | 24.8535i | 1.00056i | 0.865862 | + | 0.500282i | \(0.166770\pi\) | ||||
−0.865862 | + | 0.500282i | \(0.833230\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −4.40031 | − | 13.5428i | −0.176864 | − | 0.544330i | 0.822850 | − | 0.568258i | \(-0.192383\pi\) |
−0.999714 | + | 0.0239285i | \(0.992383\pi\) | |||||||
\(620\) | 15.9729 | + | 5.18992i | 0.641489 | + | 0.208432i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 7.15779 | − | 9.85185i | 0.287001 | − | 0.395023i | ||||
\(623\) | −2.72858 | + | 8.39771i | −0.109318 | + | 0.336447i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 14.3357 | − | 10.4155i | 0.573427 | − | 0.416619i | ||||
\(626\) | 8.01951 | 0.320524 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −10.7793 | −0.430139 | ||||||||
\(629\) | 36.1155 | − | 26.2394i | 1.44002 | − | 1.04624i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −6.56247 | + | 20.1972i | −0.261248 | + | 0.804038i | 0.731286 | + | 0.682071i | \(0.238920\pi\) |
−0.992534 | + | 0.121968i | \(0.961080\pi\) | |||||||
\(632\) | 7.06493 | − | 9.72405i | 0.281028 | − | 0.386802i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −29.1029 | − | 9.45610i | −1.15582 | − | 0.375550i | ||||
\(635\) | 7.31413 | + | 22.5106i | 0.290252 | + | 0.893305i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | − | 5.23700i | − | 0.207497i | ||||||
\(638\) | −6.88661 | − | 8.72916i | −0.272643 | − | 0.345591i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 1.14907 | + | 1.58155i | 0.0454208 | + | 0.0625164i | ||||
\(641\) | 42.1737 | − | 13.7031i | 1.66576 | − | 0.541238i | 0.683693 | − | 0.729770i | \(-0.260373\pi\) |
0.982067 | + | 0.188532i | \(0.0603728\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −26.4090 | − | 19.1873i | −1.04147 | − | 0.756672i | −0.0708974 | − | 0.997484i | \(-0.522586\pi\) |
−0.970572 | + | 0.240812i | \(0.922586\pi\) | |||||||
\(644\) | 3.77949 | + | 2.74596i | 0.148933 | + | 0.108206i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 21.3665 | − | 6.94241i | 0.840656 | − | 0.273146i | ||||
\(647\) | 15.2586 | + | 21.0017i | 0.599878 | + | 0.825662i | 0.995697 | − | 0.0926669i | \(-0.0295392\pi\) |
−0.395819 | + | 0.918329i | \(0.629539\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −5.50242 | + | 0.218174i | −0.215989 | + | 0.00856407i | ||||
\(650\) | 6.17092i | 0.242043i | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 1.93623 | + | 5.95911i | 0.0758287 | + | 0.233377i | ||||
\(653\) | 3.70498 | + | 1.20382i | 0.144987 | + | 0.0471092i | 0.380612 | − | 0.924735i | \(-0.375714\pi\) |
−0.235624 | + | 0.971844i | \(0.575714\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 6.41289 | − | 8.82659i | 0.250572 | − | 0.344883i | ||||
\(656\) | −0.0804575 | + | 0.247623i | −0.00314134 | + | 0.00966804i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −1.97179 | + | 1.43259i | −0.0768685 | + | 0.0558482i | ||||
\(659\) | 34.6565 | 1.35002 | 0.675012 | − | 0.737807i | \(-0.264138\pi\) | ||||
0.675012 | + | 0.737807i | \(0.264138\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 12.3673 | 0.481032 | 0.240516 | − | 0.970645i | \(-0.422683\pi\) | ||||
0.240516 | + | 0.970645i | \(0.422683\pi\) | |||||||
\(662\) | 25.8392 | − | 18.7733i | 1.00427 | − | 0.729644i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −0.723340 | + | 2.22621i | −0.0280710 | + | 0.0863937i | ||||
\(665\) | −3.75103 | + | 5.16284i | −0.145459 | + | 0.200207i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −14.8949 | − | 4.83963i | −0.576731 | − | 0.187391i | ||||
\(668\) | 4.49677 | + | 13.8396i | 0.173985 | + | 0.535471i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | − | 3.33193i | − | 0.128723i | ||||||
\(671\) | −5.04619 | + | 17.9171i | −0.194806 | + | 0.691682i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 13.8476 | + | 19.0595i | 0.533785 | + | 0.734691i | 0.987701 | − | 0.156353i | \(-0.0499736\pi\) |
−0.453917 | + | 0.891044i | \(0.649974\pi\) | |||||||
\(674\) | 9.39201 | − | 3.05165i | 0.361767 | − | 0.117545i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 11.6710 | + | 8.47947i | 0.448884 | + | 0.326133i | ||||
\(677\) | 21.5716 | + | 15.6727i | 0.829064 | + | 0.602350i | 0.919294 | − | 0.393571i | \(-0.128760\pi\) |
−0.0902303 | + | 0.995921i | \(0.528760\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −13.7432 | + | 4.46543i | −0.527415 | + | 0.171368i | ||||
\(680\) | −7.90803 | − | 10.8845i | −0.303259 | − | 0.417400i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −1.12890 | − | 28.4713i | −0.0432278 | − | 1.09022i | ||||
\(683\) | 0.199835i | 0.00764649i | 0.999993 | + | 0.00382324i | \(0.00121698\pi\) | ||||
−0.999993 | + | 0.00382324i | \(0.998783\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 12.8159 | + | 39.4432i | 0.489669 | + | 1.50705i | ||||
\(686\) | 0.951057 | + | 0.309017i | 0.0363115 | + | 0.0117983i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −0.188458 | + | 0.259390i | −0.00718489 | + | 0.00988915i | ||||
\(689\) | 7.31012 | − | 22.4982i | 0.278494 | − | 0.857115i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 20.4257 | − | 14.8402i | 0.777031 | − | 0.564546i | −0.127055 | − | 0.991896i | \(-0.540553\pi\) |
0.904086 | + | 0.427350i | \(0.140553\pi\) | |||||||
\(692\) | 1.49651 | 0.0568889 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 20.7486 | 0.787605 | ||||||||
\(695\) | −14.3168 | + | 10.4018i | −0.543067 | + | 0.394562i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.553719 | − | 1.70417i | 0.0209736 | − | 0.0645501i | ||||
\(698\) | 16.3747 | − | 22.5379i | 0.619793 | − | 0.853072i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −1.12066 | − | 0.364124i | −0.0423570 | − | 0.0137626i | ||||
\(701\) | −4.33098 | − | 13.3294i | −0.163579 | − | 0.503443i | 0.835350 | − | 0.549718i | \(-0.185265\pi\) |
−0.998929 | + | 0.0462749i | \(0.985265\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 21.1747i | 0.798620i | ||||||||
\(704\) | 1.84163 | − | 2.75834i | 0.0694089 | − | 0.103959i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −9.31878 | − | 12.8262i | −0.350717 | − | 0.482720i | ||||
\(707\) | −13.0953 | + | 4.25492i | −0.492499 | + | 0.160023i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −17.3146 | − | 12.5798i | −0.650264 | − | 0.472444i | 0.213097 | − | 0.977031i | \(-0.431645\pi\) |
−0.863361 | + | 0.504587i | \(0.831645\pi\) | |||||||
\(710\) | −2.15466 | − | 1.56545i | −0.0808629 | − | 0.0587503i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 8.39771 | − | 2.72858i | 0.314718 | − | 0.102258i | ||||
\(713\) | −23.5910 | − | 32.4702i | −0.883490 | − | 1.21602i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −31.8522 | + | 11.7639i | −1.19120 | + | 0.439945i | ||||
\(716\) | 19.4947i | 0.728552i | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 1.13824 | + | 3.50315i | 0.0424788 | + | 0.130736i | ||||
\(719\) | 3.29837 | + | 1.07170i | 0.123008 | + | 0.0399678i | 0.369874 | − | 0.929082i | \(-0.379401\pi\) |
−0.246866 | + | 0.969050i | \(0.579401\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −7.11184 | + | 9.78861i | −0.264859 | + | 0.364547i | ||||
\(722\) | 2.57832 | − | 7.93525i | 0.0959551 | − | 0.295320i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 13.5248 | − | 9.82635i | 0.502646 | − | 0.365194i | ||||
\(725\) | 3.95022 | 0.146708 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 9.75693 | 0.361864 | 0.180932 | − | 0.983496i | \(-0.442089\pi\) | ||||
0.180932 | + | 0.983496i | \(0.442089\pi\) | |||||||
\(728\) | −4.23682 | + | 3.07823i | −0.157027 | + | 0.114087i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 1.35585 | − | 4.17288i | 0.0501823 | − | 0.154445i | ||||
\(731\) | 1.29699 | − | 1.78516i | 0.0479710 | − | 0.0660264i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −10.2235 | − | 3.32180i | −0.377612 | − | 0.122693i | 0.114061 | − | 0.993474i | \(-0.463614\pi\) |
−0.491672 | + | 0.870780i | \(0.663614\pi\) | |||||||
\(734\) | 8.49646 | + | 26.1494i | 0.313610 | + | 0.965193i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | − | 4.67171i | − | 0.172202i | ||||||
\(737\) | −5.30272 | + | 1.95845i | −0.195328 | + | 0.0721403i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −21.9294 | − | 30.1832i | −0.806686 | − | 1.11031i | −0.991826 | − | 0.127596i | \(-0.959274\pi\) |
0.185140 | − | 0.982712i | \(-0.440726\pi\) | |||||||
\(740\) | 12.0600 | − | 3.91852i | 0.443333 | − | 0.144048i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 3.65441 | + | 2.65509i | 0.134158 | + | 0.0974713i | ||||
\(743\) | −39.3318 | − | 28.5762i | −1.44294 | − | 1.04836i | −0.987417 | − | 0.158136i | \(-0.949452\pi\) |
−0.455525 | − | 0.890223i | \(-0.650548\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 14.7705 | − | 4.79922i | 0.541148 | − | 0.175830i | ||||
\(746\) | −18.0958 | − | 24.9067i | −0.662534 | − | 0.911900i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −12.6743 | + | 18.9832i | −0.463419 | + | 0.694096i | ||||
\(749\) | − | 1.81226i | − | 0.0662186i | ||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −12.4818 | − | 38.4149i | −0.455466 | − | 1.40178i | −0.870588 | − | 0.492013i | \(-0.836261\pi\) |
0.415122 | − | 0.909766i | \(-0.363739\pi\) | |||||||
\(752\) | 2.31798 | + | 0.753158i | 0.0845281 | + | 0.0274648i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 10.3194 | − | 14.2035i | 0.375811 | − | 0.517259i | ||||
\(755\) | −5.31656 | + | 16.3627i | −0.193490 | + | 0.595500i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 6.59766 | − | 4.79348i | 0.239796 | − | 0.174222i | −0.461396 | − | 0.887194i | \(-0.652651\pi\) |
0.701192 | + | 0.712972i | \(0.252651\pi\) | |||||||
\(758\) | −22.5127 | −0.817698 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 6.38163 | 0.231486 | ||||||||
\(761\) | 21.2873 | − | 15.4661i | 0.771664 | − | 0.560647i | −0.130802 | − | 0.991409i | \(-0.541755\pi\) |
0.902466 | + | 0.430762i | \(0.141755\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 5.94609 | − | 18.3002i | 0.215263 | − | 0.662511i | ||||
\(764\) | 7.68834 | − | 10.5821i | 0.278154 | − | 0.382847i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 4.46341 | + | 1.45025i | 0.161270 | + | 0.0523997i | ||||
\(767\) | −2.68697 | − | 8.26966i | −0.0970210 | − | 0.298600i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 44.4548i | 1.60308i | 0.597941 | + | 0.801540i | \(0.295986\pi\) | ||||
−0.597941 | + | 0.801540i | \(0.704014\pi\) | |||||||
\(770\) | −0.256880 | − | 6.47861i | −0.00925731 | − | 0.233473i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −0.344321 | − | 0.473918i | −0.0123924 | − | 0.0170567i | ||||
\(773\) | 31.1828 | − | 10.1319i | 1.12157 | − | 0.364419i | 0.311201 | − | 0.950344i | \(-0.399269\pi\) |
0.810365 | + | 0.585925i | \(0.199269\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 8.18987 | + | 5.95029i | 0.294189 | + | 0.213741i | ||||
\(776\) | 11.6907 | + | 8.49376i | 0.419670 | + | 0.304908i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 33.1759 | − | 10.7795i | 1.18941 | − | 0.386464i | ||||
\(779\) | 0.499583 | + | 0.687617i | 0.0178994 | + | 0.0246364i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.22493 | + | 4.34926i | −0.0438314 | + | 0.155629i | ||||
\(782\) | 32.1513i | 1.14973i | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −0.309017 | − | 0.951057i | −0.0110363 | − | 0.0339663i | ||||
\(785\) | 20.0411 | + | 6.51175i | 0.715297 | + | 0.232414i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −16.6696 | + | 22.9437i | −0.594205 | + | 0.817854i | −0.995162 | − | 0.0982433i | \(-0.968678\pi\) |
0.400957 | + | 0.916097i | \(0.368678\pi\) | |||||||
\(788\) | −4.07045 | + | 12.5276i | −0.145004 | + | 0.446276i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −19.0096 | + | 13.8113i | −0.676332 | + | 0.491384i | ||||
\(791\) | 6.42057 | 0.228289 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −29.3920 | −1.04374 | ||||||||
\(794\) | −9.03467 | + | 6.56407i | −0.320628 | + | 0.232950i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 5.57579 | − | 17.1605i | 0.197629 | − | 0.608239i | ||||
\(797\) | 5.47760 | − | 7.53927i | 0.194027 | − | 0.267055i | −0.700908 | − | 0.713251i | \(-0.747222\pi\) |
0.894935 | + | 0.446197i | \(0.147222\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −15.9527 | − | 5.18334i | −0.564365 | − | 0.183373i | ||||
\(800\) | 0.364124 | + | 1.12066i | 0.0128737 | + | 0.0396213i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 8.80104i | 0.310775i | ||||||||
\(803\) | −7.43804 | + | 0.294922i | −0.262483 | + | 0.0104076i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −5.36811 | − | 7.38856i | −0.189201 | − | 0.260413i | ||||
\(806\) | 42.7898 | − | 13.9033i | 1.50721 | − | 0.489721i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 11.1395 | + | 8.09333i | 0.391887 | + | 0.284722i | ||||
\(809\) | 15.0031 | + | 10.9004i | 0.527481 | + | 0.383237i | 0.819415 | − | 0.573201i | \(-0.194299\pi\) |
−0.291934 | + | 0.956439i | \(0.594299\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 29.3103 | − | 9.52350i | 1.02923 | − | 0.334415i | 0.254741 | − | 0.967009i | \(-0.418010\pi\) |
0.774484 | + | 0.632594i | \(0.218010\pi\) | |||||||
\(812\) | 1.97048 | + | 2.71214i | 0.0691504 | + | 0.0951774i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −13.3249 | − | 16.8900i | −0.467037 | − | 0.591996i | ||||
\(815\) | − | 12.2490i | − | 0.429064i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.323432 | + | 0.995421i | 0.0113154 | + | 0.0348254i | ||||
\(818\) | 28.1711 | + | 9.15336i | 0.984981 | + | 0.320040i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.299178 | − | 0.411783i | 0.0104477 | − | 0.0143801i | ||||
\(821\) | −1.04887 | + | 3.22810i | −0.0366059 | + | 0.112661i | −0.967690 | − | 0.252144i | \(-0.918864\pi\) |
0.931084 | + | 0.364805i | \(0.118864\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 38.6862 | − | 28.1072i | 1.34852 | − | 0.979755i | 0.349433 | − | 0.936961i | \(-0.386374\pi\) |
0.999084 | − | 0.0427932i | \(-0.0136257\pi\) | |||||||
\(824\) | 12.0994 | 0.421502 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 1.66035 | 0.0577709 | ||||||||
\(827\) | −33.0924 | + | 24.0430i | −1.15074 | + | 0.836058i | −0.988579 | − | 0.150706i | \(-0.951845\pi\) |
−0.162157 | + | 0.986765i | \(0.551845\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 16.1015 | − | 49.5554i | 0.559229 | − | 1.72113i | −0.125277 | − | 0.992122i | \(-0.539982\pi\) |
0.684506 | − | 0.729008i | \(-0.260018\pi\) | |||||||
\(830\) | 2.68971 | − | 3.70207i | 0.0933611 | − | 0.128501i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 4.98068 | + | 1.61832i | 0.172674 | + | 0.0561052i | ||||
\(833\) | 2.12670 | + | 6.54530i | 0.0736857 | + | 0.226781i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | − | 28.4475i | − | 0.984467i | ||||||
\(836\) | −3.75100 | − | 10.1563i | −0.129731 | − | 0.351263i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 20.8807 | + | 28.7399i | 0.721313 | + | 0.992803i | ||||
\(839\) | −31.2659 | + | 10.1589i | −1.07942 | + | 0.350725i | −0.794149 | − | 0.607722i | \(-0.792083\pi\) |
−0.285270 | + | 0.958447i | \(0.592083\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 14.3694 | + | 10.4399i | 0.495495 | + | 0.359998i | ||||
\(842\) | 14.7611 | + | 10.7246i | 0.508702 | + | 0.369593i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −23.4739 | + | 7.62715i | −0.808007 | + | 0.262537i | ||||
\(845\) | −16.5766 | − | 22.8157i | −0.570252 | − | 0.784884i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −10.1596 | + | 4.21683i | −0.349089 | + | 0.144892i | ||||
\(848\) | − | 4.51710i | − | 0.155118i | ||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −2.50595 | − | 7.71253i | −0.0859535 | − | 0.264538i | ||||
\(851\) | −28.8201 | − | 9.36421i | −0.987939 | − | 0.321001i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 12.8614 | − | 17.7022i | 0.440367 | − | 0.606113i | −0.529927 | − | 0.848044i | \(-0.677781\pi\) |
0.970294 | + | 0.241930i | \(0.0777805\pi\) | |||||||
\(854\) | 1.73432 | − | 5.33769i | 0.0593472 | − | 0.182652i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −1.46615 | + | 1.06522i | −0.0501120 | + | 0.0364085i | ||||
\(857\) | 10.2880 | 0.351430 | 0.175715 | − | 0.984441i | \(-0.443776\pi\) | ||||
0.175715 | + | 0.984441i | \(0.443776\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −36.8976 | −1.25893 | −0.629465 | − | 0.777029i | \(-0.716726\pi\) | ||||
−0.629465 | + | 0.777029i | \(0.716726\pi\) | |||||||
\(860\) | 0.507084 | − | 0.368418i | 0.0172914 | − | 0.0125629i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 10.4553 | − | 32.1781i | 0.356109 | − | 1.09599i | ||||
\(863\) | 5.53805 | − | 7.62248i | 0.188518 | − | 0.259472i | −0.704288 | − | 0.709914i | \(-0.748734\pi\) |
0.892806 | + | 0.450442i | \(0.148734\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −2.78236 | − | 0.904045i | −0.0946032 | − | 0.0307384i | ||||
\(866\) | −2.25019 | − | 6.92536i | −0.0764645 | − | 0.235333i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 8.59116i | 0.291603i | ||||||||
\(869\) | 33.1540 | + | 22.1356i | 1.12467 | + | 0.750898i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −5.24650 | − | 7.22119i | −0.177771 | − | 0.244681i | ||||
\(872\) | −18.3002 | + | 5.94609i | −0.619722 | + | 0.201360i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −12.3378 | − | 8.96395i | −0.417333 | − | 0.303210i | ||||
\(875\) | 9.77137 | + | 7.09931i | 0.330333 | + | 0.240001i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −48.8966 | + | 15.8875i | −1.65112 | + | 0.536482i | −0.978983 | − | 0.203943i | \(-0.934624\pi\) |
−0.672139 | + | 0.740425i | \(0.734624\pi\) | |||||||
\(878\) | 17.0063 | + | 23.4072i | 0.573935 | + | 0.789954i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −5.09031 | + | 4.01585i | −0.171594 | + | 0.135374i | ||||
\(881\) | − | 4.41624i | − | 0.148787i | −0.997229 | − | 0.0743934i | \(-0.976298\pi\) | ||
0.997229 | − | 0.0743934i | \(-0.0237021\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −14.9797 | − | 46.1029i | −0.504108 | − | 1.55149i | −0.802265 | − | 0.596968i | \(-0.796372\pi\) |
0.298157 | − | 0.954517i | \(-0.403628\pi\) | |||||||
\(884\) | −34.2777 | − | 11.1375i | −1.15288 | − | 0.374595i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −7.78236 | + | 10.7115i | −0.261453 | + | 0.359860i | ||||
\(887\) | −9.44911 | + | 29.0814i | −0.317270 | + | 0.976456i | 0.657540 | + | 0.753420i | \(0.271597\pi\) |
−0.974810 | + | 0.223037i | \(0.928403\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −9.79516 | + | 7.11660i | −0.328519 | + | 0.238683i | ||||
\(890\) | −17.2616 | −0.578610 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 17.1137 | 0.573009 | ||||||||
\(893\) | 6.43674 | − | 4.67657i | 0.215397 | − | 0.156495i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 11.7768 | − | 36.2451i | 0.393654 | − | 1.21154i | ||||
\(896\) | −0.587785 | + | 0.809017i | −0.0196365 | + | 0.0270274i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −28.5653 | − | 9.28142i | −0.953236 | − | 0.309725i | ||||
\(899\) | −8.89997 | − | 27.3913i | −0.296831 | − | 0.913551i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 31.0873i | 1.03567i | ||||||||
\(902\) | −0.831199 | − | 0.234100i | −0.0276759 | − | 0.00779466i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −3.77392 | − | 5.19435i | −0.125519 | − | 0.172762i | ||||
\(905\) | −31.0818 | + | 10.0991i | −1.03319 | + | 0.335705i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 40.2931 | + | 29.2747i | 1.33791 | + | 0.972050i | 0.999518 | + | 0.0310454i | \(0.00988363\pi\) |
0.338394 | + | 0.941005i | \(0.390116\pi\) | |||||||
\(908\) | 1.90764 | + | 1.38598i | 0.0633071 | + | 0.0459953i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 9.73677 | − | 3.16367i | 0.322771 | − | 0.104875i | ||||
\(911\) | −18.6304 | − | 25.6425i | −0.617252 | − | 0.849575i | 0.379897 | − | 0.925029i | \(-0.375959\pi\) |
−0.997149 | + | 0.0754537i | \(0.975959\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −7.47276 | − | 2.10463i | −0.247312 | − | 0.0696532i | ||||
\(914\) | 10.7608i | 0.355937i | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −1.08762 | − | 3.34735i | −0.0359360 | − | 0.110600i | ||||
\(917\) | 5.30781 | + | 1.72461i | 0.175279 | + | 0.0569517i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 8.65665 | − | 11.9149i | 0.285557 | − | 0.393035i | −0.642008 | − | 0.766698i | \(-0.721898\pi\) |
0.927564 | + | 0.373663i | \(0.121898\pi\) | |||||||
\(920\) | −2.82218 | + | 8.68578i | −0.0930445 | + | 0.286362i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −27.7661 | + | 20.1733i | −0.914429 | + | 0.664371i | ||||
\(923\) | −7.13471 | −0.234842 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 7.64329 | 0.251310 | ||||||||
\(926\) | 7.78567 | − | 5.65662i | 0.255853 | − | 0.185888i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 1.03594 | − | 3.18831i | 0.0340066 | − | 0.104661i | ||||
\(929\) | −0.890210 | + | 1.22527i | −0.0292068 | + | 0.0401998i | −0.823371 | − | 0.567504i | \(-0.807909\pi\) |
0.794164 | + | 0.607704i | \(0.207909\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −3.10464 | − | 1.00876i | −0.101750 | − | 0.0330607i | ||||
\(932\) | 4.76573 | + | 14.6674i | 0.156107 | + | 0.480446i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 21.9864i | 0.719417i | ||||||||
\(935\) | 35.0322 | − | 27.6376i | 1.14568 | − | 0.903847i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −12.1998 | − | 16.7917i | −0.398552 | − | 0.548559i | 0.561828 | − | 0.827254i | \(-0.310098\pi\) |
−0.960380 | + | 0.278695i | \(0.910098\pi\) | |||||||
\(938\) | 1.62097 | − | 0.526685i | 0.0529266 | − | 0.0171969i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −3.85468 | − | 2.80059i | −0.125726 | − | 0.0913451i | ||||
\(941\) | −4.11590 | − | 2.99038i | −0.134174 | − | 0.0974835i | 0.518674 | − | 0.854972i | \(-0.326426\pi\) |
−0.652848 | + | 0.757489i | \(0.726426\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −1.15682 | + | 0.375874i | −0.0376713 | + | 0.0122401i | ||||
\(944\) | −0.975927 | − | 1.34325i | −0.0317637 | − | 0.0437190i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.884388 | − | 0.590469i | −0.0287539 | − | 0.0191978i | ||||
\(947\) | 32.3323i | 1.05066i | 0.850899 | + | 0.525330i | \(0.176058\pi\) | ||||
−0.850899 | + | 0.525330i | \(0.823942\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −3.63218 | − | 11.1787i | −0.117906 | − | 0.362876i | ||||
\(950\) | 3.65829 | + | 1.18865i | 0.118691 | + | 0.0385650i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 4.04522 | − | 5.56776i | 0.131106 | − | 0.180452i | ||||
\(953\) | 6.73463 | − | 20.7270i | 0.218156 | − | 0.671415i | −0.780759 | − | 0.624833i | \(-0.785167\pi\) |
0.998914 | − | 0.0465820i | \(-0.0148329\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −20.6870 | + | 15.0300i | −0.669417 | + | 0.486360i | ||||
\(956\) | −23.5453 | −0.761510 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −27.3560 | −0.883831 | ||||||||
\(959\) | −17.1631 | + | 12.4698i | −0.554227 | + | 0.402669i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 13.2284 | − | 40.7129i | 0.426724 | − | 1.31332i | ||||
\(962\) | 19.9670 | − | 27.4823i | 0.643763 | − | 0.886064i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −7.71672 | − | 2.50731i | −0.248539 | − | 0.0807551i | ||||
\(965\) | 0.353878 | + | 1.08913i | 0.0113918 | + | 0.0350602i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 10.4215i | 0.335133i | 0.985861 | + | 0.167566i | \(0.0535908\pi\) | ||||
−0.985861 | + | 0.167566i | \(0.946409\pi\) | |||||||
\(968\) | 9.38318 | + | 5.74073i | 0.301587 | + | 0.184514i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −16.6045 | − | 22.8542i | −0.533139 | − | 0.733803i | ||||
\(971\) | −21.2679 | + | 6.91035i | −0.682519 | + | 0.221764i | −0.629698 | − | 0.776840i | \(-0.716821\pi\) |
−0.0528209 | + | 0.998604i | \(0.516821\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −7.32352 | − | 5.32085i | −0.234781 | − | 0.170578i | ||||
\(974\) | −28.7854 | − | 20.9138i | −0.922345 | − | 0.670123i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −5.33769 | + | 1.73432i | −0.170855 | + | 0.0555142i | ||||
\(977\) | 22.5272 | + | 31.0060i | 0.720709 | + | 0.991971i | 0.999500 | + | 0.0316193i | \(0.0100664\pi\) |
−0.278791 | + | 0.960352i | \(0.589934\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 10.1461 | + | 27.4716i | 0.324269 | + | 0.877998i | ||||
\(980\) | 1.95491i | 0.0624473i | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0.355412 | + | 1.09384i | 0.0113416 | + | 0.0349060i | ||||
\(983\) | 38.2646 | + | 12.4329i | 1.22045 | + | 0.396549i | 0.847247 | − | 0.531200i | \(-0.178259\pi\) |
0.373205 | + | 0.927749i | \(0.378259\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 15.1358 | − | 20.8327i | 0.482267 | − | 0.663784i | ||||
\(986\) | −7.12951 | + | 21.9424i | −0.227050 | + | 0.698788i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 13.8307 | − | 10.0486i | 0.440014 | − | 0.319689i | ||||
\(989\) | −1.49786 | −0.0476292 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −2.06259 | −0.0655205 | −0.0327602 | − | 0.999463i | \(-0.510430\pi\) | ||||
−0.0327602 | + | 0.999463i | \(0.510430\pi\) | |||||||
\(992\) | 6.95040 | − | 5.04976i | 0.220675 | − | 0.160330i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0.420995 | − | 1.29569i | 0.0133531 | − | 0.0410967i | ||||
\(995\) | −20.7333 | + | 28.5370i | −0.657291 | + | 0.904684i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −38.1981 | − | 12.4113i | −1.20975 | − | 0.393070i | −0.366408 | − | 0.930454i | \(-0.619413\pi\) |
−0.843338 | + | 0.537384i | \(0.819413\pi\) | |||||||
\(998\) | 8.61195 | + | 26.5048i | 0.272606 | + | 0.838996i | ||||
\(999\) | 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 | 1386.2.bu.a.701.3 | ✓ | 48 | |
3.2 | odd | 2 | 1386.2.bu.b.701.10 | yes | 48 | ||
11.7 | odd | 10 | 1386.2.bu.b.953.10 | yes | 48 | ||
33.29 | even | 10 | inner | 1386.2.bu.a.953.3 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1386.2.bu.a.701.3 | ✓ | 48 | 1.1 | even | 1 | trivial | |
1386.2.bu.a.953.3 | yes | 48 | 33.29 | even | 10 | inner | |
1386.2.bu.b.701.10 | yes | 48 | 3.2 | odd | 2 | ||
1386.2.bu.b.953.10 | yes | 48 | 11.7 | odd | 10 |