Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1155,2,Mod(1121,1155)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1155, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1155.1121");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1155 = 3 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1155.l (of order \(2\), degree \(1\), 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: | \(9.22272143346\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 1121.2 | ||
Character | \(\chi\) | \(=\) | 1155.1121 |
Dual form | 1155.2.l.f.1121.1 |
$q$-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 \(\left(\mathbb{Z}/1155\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(232\) | \(386\) | \(661\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.72154 | −1.92442 | −0.962208 | − | 0.272316i | \(-0.912210\pi\) | ||||
−0.962208 | + | 0.272316i | \(0.912210\pi\) | |||||||
\(3\) | −1.44946 | + | 0.948193i | −0.836845 | + | 0.547439i | ||||
\(4\) | 5.40675 | 2.70338 | ||||||||
\(5\) | 1.00000i | 0.447214i | ||||||||
\(6\) | 3.94475 | − | 2.58054i | 1.61044 | − | 1.05350i | ||||
\(7\) | 1.00000i | 0.377964i | ||||||||
\(8\) | −9.27160 | −3.27801 | ||||||||
\(9\) | 1.20186 | − | 2.74873i | 0.400620 | − | 0.916244i | ||||
\(10\) | − | 2.72154i | − | 0.860625i | ||||||
\(11\) | −3.31662 | + | 0.00239114i | −1.00000 | + | 0.000720955i | ||||
\(12\) | −7.83687 | + | 5.12664i | −2.26231 | + | 1.47993i | ||||
\(13\) | 0.172105i | 0.0477333i | 0.999715 | + | 0.0238667i | \(0.00759772\pi\) | ||||
−0.999715 | + | 0.0238667i | \(0.992402\pi\) | |||||||
\(14\) | − | 2.72154i | − | 0.727361i | ||||||
\(15\) | −0.948193 | − | 1.44946i | −0.244822 | − | 0.374249i | ||||
\(16\) | 14.4195 | 3.60487 | ||||||||
\(17\) | 0.805674 | 0.195405 | 0.0977023 | − | 0.995216i | \(-0.468851\pi\) | ||||
0.0977023 | + | 0.995216i | \(0.468851\pi\) | |||||||
\(18\) | −3.27091 | + | 7.48077i | −0.770960 | + | 1.76323i | ||||
\(19\) | − | 2.99512i | − | 0.687127i | −0.939130 | − | 0.343563i | \(-0.888366\pi\) | ||
0.939130 | − | 0.343563i | \(-0.111634\pi\) | |||||||
\(20\) | 5.40675i | 1.20899i | ||||||||
\(21\) | −0.948193 | − | 1.44946i | −0.206913 | − | 0.316298i | ||||
\(22\) | 9.02631 | − | 0.00650757i | 1.92442 | − | 0.00138742i | ||||
\(23\) | − | 0.277197i | − | 0.0577995i | −0.999582 | − | 0.0288998i | \(-0.990800\pi\) | ||
0.999582 | − | 0.0288998i | \(-0.00920036\pi\) | |||||||
\(24\) | 13.4388 | − | 8.79126i | 2.74318 | − | 1.79451i | ||||
\(25\) | −1.00000 | −0.200000 | ||||||||
\(26\) | − | 0.468390i | − | 0.0918588i | ||||||
\(27\) | 0.864280 | + | 5.12377i | 0.166331 | + | 0.986070i | ||||
\(28\) | 5.40675i | 1.02178i | ||||||||
\(29\) | 7.75959 | 1.44092 | 0.720460 | − | 0.693497i | \(-0.243931\pi\) | ||||
0.720460 | + | 0.693497i | \(0.243931\pi\) | |||||||
\(30\) | 2.58054 | + | 3.94475i | 0.471140 | + | 0.720210i | ||||
\(31\) | 2.70960 | 0.486659 | 0.243329 | − | 0.969944i | \(-0.421760\pi\) | ||||
0.243329 | + | 0.969944i | \(0.421760\pi\) | |||||||
\(32\) | −20.6999 | −3.65926 | ||||||||
\(33\) | 4.80504 | − | 3.14826i | 0.836450 | − | 0.548042i | ||||
\(34\) | −2.19267 | −0.376040 | ||||||||
\(35\) | −1.00000 | −0.169031 | ||||||||
\(36\) | 6.49817 | − | 14.8617i | 1.08303 | − | 2.47695i | ||||
\(37\) | −1.15232 | −0.189440 | −0.0947202 | − | 0.995504i | \(-0.530196\pi\) | ||||
−0.0947202 | + | 0.995504i | \(0.530196\pi\) | |||||||
\(38\) | 8.15131i | 1.32232i | ||||||||
\(39\) | −0.163189 | − | 0.249459i | −0.0261311 | − | 0.0399454i | ||||
\(40\) | − | 9.27160i | − | 1.46597i | ||||||
\(41\) | −2.26777 | −0.354167 | −0.177083 | − | 0.984196i | \(-0.556666\pi\) | ||||
−0.177083 | + | 0.984196i | \(0.556666\pi\) | |||||||
\(42\) | 2.58054 | + | 3.94475i | 0.398186 | + | 0.608689i | ||||
\(43\) | − | 9.92713i | − | 1.51387i | −0.653488 | − | 0.756937i | \(-0.726695\pi\) | ||
0.653488 | − | 0.756937i | \(-0.273305\pi\) | |||||||
\(44\) | −17.9322 | + | 0.0129283i | −2.70338 | + | 0.00194901i | ||||
\(45\) | 2.74873 | + | 1.20186i | 0.409757 | + | 0.179163i | ||||
\(46\) | 0.754401i | 0.111230i | ||||||||
\(47\) | − | 11.2793i | − | 1.64525i | −0.568583 | − | 0.822626i | \(-0.692508\pi\) | ||
0.568583 | − | 0.822626i | \(-0.307492\pi\) | |||||||
\(48\) | −20.9004 | + | 13.6724i | −3.01672 | + | 1.97345i | ||||
\(49\) | −1.00000 | −0.142857 | ||||||||
\(50\) | 2.72154 | 0.384883 | ||||||||
\(51\) | −1.16779 | + | 0.763934i | −0.163523 | + | 0.106972i | ||||
\(52\) | 0.930529i | 0.129041i | ||||||||
\(53\) | 10.5607i | 1.45062i | 0.688423 | + | 0.725310i | \(0.258303\pi\) | ||||
−0.688423 | + | 0.725310i | \(0.741697\pi\) | |||||||
\(54\) | −2.35217 | − | 13.9445i | −0.320089 | − | 1.89761i | ||||
\(55\) | −0.00239114 | − | 3.31662i | −0.000322421 | − | 0.447213i | ||||
\(56\) | − | 9.27160i | − | 1.23897i | ||||||
\(57\) | 2.83995 | + | 4.34130i | 0.376160 | + | 0.575019i | ||||
\(58\) | −21.1180 | −2.77293 | ||||||||
\(59\) | − | 5.52208i | − | 0.718913i | −0.933162 | − | 0.359456i | \(-0.882962\pi\) | ||
0.933162 | − | 0.359456i | \(-0.117038\pi\) | |||||||
\(60\) | −5.12664 | − | 7.83687i | −0.661847 | − | 1.01174i | ||||
\(61\) | 4.15256i | 0.531680i | 0.964017 | + | 0.265840i | \(0.0856493\pi\) | ||||
−0.964017 | + | 0.265840i | \(0.914351\pi\) | |||||||
\(62\) | −7.37428 | −0.936534 | ||||||||
\(63\) | 2.74873 | + | 1.20186i | 0.346308 | + | 0.151420i | ||||
\(64\) | 27.4966 | 3.43707 | ||||||||
\(65\) | −0.172105 | −0.0213470 | ||||||||
\(66\) | −13.0771 | + | 8.56811i | −1.60968 | + | 1.05466i | ||||
\(67\) | −8.68588 | −1.06115 | −0.530574 | − | 0.847638i | \(-0.678024\pi\) | ||||
−0.530574 | + | 0.847638i | \(0.678024\pi\) | |||||||
\(68\) | 4.35608 | 0.528252 | ||||||||
\(69\) | 0.262836 | + | 0.401785i | 0.0316417 | + | 0.0483693i | ||||
\(70\) | 2.72154 | 0.325286 | ||||||||
\(71\) | − | 14.8767i | − | 1.76554i | −0.469803 | − | 0.882771i | \(-0.655675\pi\) | ||
0.469803 | − | 0.882771i | \(-0.344325\pi\) | |||||||
\(72\) | −11.1432 | + | 25.4851i | −1.31324 | + | 3.00345i | ||||
\(73\) | 6.17210i | 0.722389i | 0.932490 | + | 0.361195i | \(0.117631\pi\) | ||||
−0.932490 | + | 0.361195i | \(0.882369\pi\) | |||||||
\(74\) | 3.13608 | 0.364562 | ||||||||
\(75\) | 1.44946 | − | 0.948193i | 0.167369 | − | 0.109488i | ||||
\(76\) | − | 16.1939i | − | 1.85756i | ||||||
\(77\) | −0.00239114 | − | 3.31662i | −0.000272496 | − | 0.377964i | ||||
\(78\) | 0.444124 | + | 0.678912i | 0.0502871 | + | 0.0768716i | ||||
\(79\) | 3.40257i | 0.382819i | 0.981510 | + | 0.191410i | \(0.0613059\pi\) | ||||
−0.981510 | + | 0.191410i | \(0.938694\pi\) | |||||||
\(80\) | 14.4195i | 1.61215i | ||||||||
\(81\) | −6.11106 | − | 6.60719i | −0.679007 | − | 0.734132i | ||||
\(82\) | 6.17182 | 0.681564 | ||||||||
\(83\) | 18.1415 | 1.99129 | 0.995645 | − | 0.0932273i | \(-0.0297183\pi\) | ||||
0.995645 | + | 0.0932273i | \(0.0297183\pi\) | |||||||
\(84\) | −5.12664 | − | 7.83687i | −0.559363 | − | 0.855072i | ||||
\(85\) | 0.805674i | 0.0873876i | ||||||||
\(86\) | 27.0170i | 2.91332i | ||||||||
\(87\) | −11.2472 | + | 7.35759i | −1.20583 | + | 0.788816i | ||||
\(88\) | 30.7504 | − | 0.0221697i | 3.27800 | − | 0.00236330i | ||||
\(89\) | 14.7270i | 1.56106i | 0.625120 | + | 0.780529i | \(0.285050\pi\) | ||||
−0.625120 | + | 0.780529i | \(0.714950\pi\) | |||||||
\(90\) | −7.48077 | − | 3.27091i | −0.788543 | − | 0.344784i | ||||
\(91\) | −0.172105 | −0.0180415 | ||||||||
\(92\) | − | 1.49874i | − | 0.156254i | ||||||
\(93\) | −3.92746 | + | 2.56922i | −0.407258 | + | 0.266416i | ||||
\(94\) | 30.6970i | 3.16615i | ||||||||
\(95\) | 2.99512 | 0.307292 | ||||||||
\(96\) | 30.0037 | − | 19.6275i | 3.06224 | − | 2.00322i | ||||
\(97\) | 15.5799 | 1.58190 | 0.790952 | − | 0.611878i | \(-0.209586\pi\) | ||||
0.790952 | + | 0.611878i | \(0.209586\pi\) | |||||||
\(98\) | 2.72154 | 0.274917 | ||||||||
\(99\) | −3.97955 | + | 9.11939i | −0.399960 | + | 0.916533i | ||||
\(100\) | −5.40675 | −0.540675 | ||||||||
\(101\) | 0.215897 | 0.0214826 | 0.0107413 | − | 0.999942i | \(-0.496581\pi\) | ||||
0.0107413 | + | 0.999942i | \(0.496581\pi\) | |||||||
\(102\) | 3.17818 | − | 2.07907i | 0.314687 | − | 0.205859i | ||||
\(103\) | 0.488013 | 0.0480854 | 0.0240427 | − | 0.999711i | \(-0.492346\pi\) | ||||
0.0240427 | + | 0.999711i | \(0.492346\pi\) | |||||||
\(104\) | − | 1.59569i | − | 0.156470i | ||||||
\(105\) | 1.44946 | − | 0.948193i | 0.141453 | − | 0.0925341i | ||||
\(106\) | − | 28.7412i | − | 2.79160i | ||||||
\(107\) | 13.8525 | 1.33917 | 0.669585 | − | 0.742736i | \(-0.266472\pi\) | ||||
0.669585 | + | 0.742736i | \(0.266472\pi\) | |||||||
\(108\) | 4.67295 | + | 27.7030i | 0.449655 | + | 2.66572i | ||||
\(109\) | 7.99287i | 0.765578i | 0.923836 | + | 0.382789i | \(0.125036\pi\) | ||||
−0.923836 | + | 0.382789i | \(0.874964\pi\) | |||||||
\(110\) | 0.00650757 | + | 9.02631i | 0.000620472 | + | 0.860625i | ||||
\(111\) | 1.67024 | − | 1.09262i | 0.158532 | − | 0.103707i | ||||
\(112\) | 14.4195i | 1.36251i | ||||||||
\(113\) | − | 11.5739i | − | 1.08878i | −0.838833 | − | 0.544389i | \(-0.816762\pi\) | ||
0.838833 | − | 0.544389i | \(-0.183238\pi\) | |||||||
\(114\) | −7.72901 | − | 11.8150i | −0.723889 | − | 1.10658i | ||||
\(115\) | 0.277197 | 0.0258487 | ||||||||
\(116\) | 41.9542 | 3.89535 | ||||||||
\(117\) | 0.473070 | + | 0.206846i | 0.0437354 | + | 0.0191229i | ||||
\(118\) | 15.0285i | 1.38349i | ||||||||
\(119\) | 0.805674i | 0.0738560i | ||||||||
\(120\) | 8.79126 | + | 13.4388i | 0.802529 | + | 1.22679i | ||||
\(121\) | 11.0000 | − | 0.0158610i | 0.999999 | − | 0.00144191i | ||||
\(122\) | − | 11.3013i | − | 1.02317i | ||||||
\(123\) | 3.28704 | − | 2.15029i | 0.296383 | − | 0.193885i | ||||
\(124\) | 14.6501 | 1.31562 | ||||||||
\(125\) | − | 1.00000i | − | 0.0894427i | ||||||
\(126\) | −7.48077 | − | 3.27091i | −0.666440 | − | 0.291396i | ||||
\(127\) | − | 2.44997i | − | 0.217400i | −0.994075 | − | 0.108700i | \(-0.965331\pi\) | ||
0.994075 | − | 0.108700i | \(-0.0346688\pi\) | |||||||
\(128\) | −33.4331 | −2.95510 | ||||||||
\(129\) | 9.41283 | + | 14.3890i | 0.828754 | + | 1.26688i | ||||
\(130\) | 0.468390 | 0.0410805 | ||||||||
\(131\) | 15.0987 | 1.31918 | 0.659590 | − | 0.751626i | \(-0.270730\pi\) | ||||
0.659590 | + | 0.751626i | \(0.270730\pi\) | |||||||
\(132\) | 25.9797 | − | 17.0219i | 2.26124 | − | 1.48157i | ||||
\(133\) | 2.99512 | 0.259709 | ||||||||
\(134\) | 23.6389 | 2.04209 | ||||||||
\(135\) | −5.12377 | + | 0.864280i | −0.440984 | + | 0.0743854i | ||||
\(136\) | −7.46989 | −0.640537 | ||||||||
\(137\) | 3.93608i | 0.336282i | 0.985763 | + | 0.168141i | \(0.0537764\pi\) | ||||
−0.985763 | + | 0.168141i | \(0.946224\pi\) | |||||||
\(138\) | −0.715318 | − | 1.09347i | −0.0608919 | − | 0.0930826i | ||||
\(139\) | 18.7504i | 1.59039i | 0.606357 | + | 0.795193i | \(0.292630\pi\) | ||||
−0.606357 | + | 0.795193i | \(0.707370\pi\) | |||||||
\(140\) | −5.40675 | −0.456954 | ||||||||
\(141\) | 10.6949 | + | 16.3489i | 0.900676 | + | 1.37682i | ||||
\(142\) | 40.4875i | 3.39764i | ||||||||
\(143\) | −0.000411527 | − | 0.570807i | −3.44136e−5 | − | 0.0477333i | ||||
\(144\) | 17.3302 | − | 39.6353i | 1.44418 | − | 3.30294i | ||||
\(145\) | 7.75959i | 0.644399i | ||||||||
\(146\) | − | 16.7976i | − | 1.39018i | ||||||
\(147\) | 1.44946 | − | 0.948193i | 0.119549 | − | 0.0782056i | ||||
\(148\) | −6.23031 | −0.512129 | ||||||||
\(149\) | −12.4309 | −1.01838 | −0.509189 | − | 0.860654i | \(-0.670055\pi\) | ||||
−0.509189 | + | 0.860654i | \(0.670055\pi\) | |||||||
\(150\) | −3.94475 | + | 2.58054i | −0.322088 | + | 0.210700i | ||||
\(151\) | 15.2632i | 1.24210i | 0.783770 | + | 0.621051i | \(0.213294\pi\) | ||||
−0.783770 | + | 0.621051i | \(0.786706\pi\) | |||||||
\(152\) | 27.7695i | 2.25240i | ||||||||
\(153\) | 0.968308 | − | 2.21458i | 0.0782831 | − | 0.179038i | ||||
\(154\) | 0.00650757 | + | 9.02631i | 0.000524395 | + | 0.727361i | ||||
\(155\) | 2.70960i | 0.217640i | ||||||||
\(156\) | −0.882321 | − | 1.34876i | −0.0706422 | − | 0.107987i | ||||
\(157\) | −9.24609 | −0.737918 | −0.368959 | − | 0.929446i | \(-0.620286\pi\) | ||||
−0.368959 | + | 0.929446i | \(0.620286\pi\) | |||||||
\(158\) | − | 9.26022i | − | 0.736704i | ||||||
\(159\) | −10.0135 | − | 15.3073i | −0.794126 | − | 1.21394i | ||||
\(160\) | − | 20.6999i | − | 1.63647i | ||||||
\(161\) | 0.277197 | 0.0218462 | ||||||||
\(162\) | 16.6315 | + | 17.9817i | 1.30669 | + | 1.41278i | ||||
\(163\) | −11.9348 | −0.934808 | −0.467404 | − | 0.884044i | \(-0.654811\pi\) | ||||
−0.467404 | + | 0.884044i | \(0.654811\pi\) | |||||||
\(164\) | −12.2613 | −0.957446 | ||||||||
\(165\) | 3.14826 | + | 4.80504i | 0.245092 | + | 0.374072i | ||||
\(166\) | −49.3728 | −3.83207 | ||||||||
\(167\) | −6.83831 | −0.529164 | −0.264582 | − | 0.964363i | \(-0.585234\pi\) | ||||
−0.264582 | + | 0.964363i | \(0.585234\pi\) | |||||||
\(168\) | 8.79126 | + | 13.4388i | 0.678261 | + | 1.03683i | ||||
\(169\) | 12.9704 | 0.997722 | ||||||||
\(170\) | − | 2.19267i | − | 0.168170i | ||||||
\(171\) | −8.23277 | − | 3.59971i | −0.629576 | − | 0.275277i | ||||
\(172\) | − | 53.6735i | − | 4.09257i | ||||||
\(173\) | 23.5066 | 1.78717 | 0.893587 | − | 0.448889i | \(-0.148180\pi\) | ||||
0.893587 | + | 0.448889i | \(0.148180\pi\) | |||||||
\(174\) | 30.6097 | − | 20.0239i | 2.32051 | − | 1.51801i | ||||
\(175\) | − | 1.00000i | − | 0.0755929i | ||||||
\(176\) | −47.8240 | + | 0.0344790i | −3.60487 | + | 0.00259895i | ||||
\(177\) | 5.23599 | + | 8.00402i | 0.393561 | + | 0.601619i | ||||
\(178\) | − | 40.0800i | − | 3.00412i | ||||||
\(179\) | 16.7328i | 1.25067i | 0.780358 | + | 0.625333i | \(0.215037\pi\) | ||||
−0.780358 | + | 0.625333i | \(0.784963\pi\) | |||||||
\(180\) | 14.8617 | + | 6.49817i | 1.10773 | + | 0.484345i | ||||
\(181\) | 18.7882 | 1.39652 | 0.698259 | − | 0.715846i | \(-0.253959\pi\) | ||||
0.698259 | + | 0.715846i | \(0.253959\pi\) | |||||||
\(182\) | 0.468390 | 0.0347194 | ||||||||
\(183\) | −3.93742 | − | 6.01896i | −0.291063 | − | 0.444934i | ||||
\(184\) | 2.57006i | 0.189467i | ||||||||
\(185\) | − | 1.15232i | − | 0.0847203i | ||||||
\(186\) | 10.6887 | − | 6.99224i | 0.783734 | − | 0.512696i | ||||
\(187\) | −2.67212 | + | 0.00192648i | −0.195405 | + | 0.000140878i | ||||
\(188\) | − | 60.9843i | − | 4.44774i | ||||||
\(189\) | −5.12377 | + | 0.864280i | −0.372699 | + | 0.0628671i | ||||
\(190\) | −8.15131 | −0.591358 | ||||||||
\(191\) | 19.9286i | 1.44198i | 0.692944 | + | 0.720991i | \(0.256313\pi\) | ||||
−0.692944 | + | 0.720991i | \(0.743687\pi\) | |||||||
\(192\) | −39.8552 | + | 26.0721i | −2.87630 | + | 1.88159i | ||||
\(193\) | − | 21.8093i | − | 1.56987i | −0.619581 | − | 0.784933i | \(-0.712697\pi\) | ||
0.619581 | − | 0.784933i | \(-0.287303\pi\) | |||||||
\(194\) | −42.4014 | −3.04424 | ||||||||
\(195\) | 0.249459 | − | 0.163189i | 0.0178641 | − | 0.0116862i | ||||
\(196\) | −5.40675 | −0.386197 | ||||||||
\(197\) | −10.8244 | −0.771207 | −0.385604 | − | 0.922665i | \(-0.626007\pi\) | ||||
−0.385604 | + | 0.922665i | \(0.626007\pi\) | |||||||
\(198\) | 10.8305 | − | 24.8187i | 0.769689 | − | 1.76379i | ||||
\(199\) | −1.09079 | −0.0773243 | −0.0386621 | − | 0.999252i | \(-0.512310\pi\) | ||||
−0.0386621 | + | 0.999252i | \(0.512310\pi\) | |||||||
\(200\) | 9.27160 | 0.655601 | ||||||||
\(201\) | 12.5898 | − | 8.23588i | 0.888017 | − | 0.580914i | ||||
\(202\) | −0.587572 | −0.0413414 | ||||||||
\(203\) | 7.75959i | 0.544616i | ||||||||
\(204\) | −6.31396 | + | 4.13040i | −0.442066 | + | 0.289186i | ||||
\(205\) | − | 2.26777i | − | 0.158388i | ||||||
\(206\) | −1.32815 | −0.0925363 | ||||||||
\(207\) | −0.761940 | − | 0.333152i | −0.0529585 | − | 0.0231557i | ||||
\(208\) | 2.48166i | 0.172072i | ||||||||
\(209\) | 0.00716174 | + | 9.93367i | 0.000495388 | + | 0.687126i | ||||
\(210\) | −3.94475 | + | 2.58054i | −0.272214 | + | 0.178074i | ||||
\(211\) | 11.9193i | 0.820561i | 0.911959 | + | 0.410280i | \(0.134569\pi\) | ||||
−0.911959 | + | 0.410280i | \(0.865431\pi\) | |||||||
\(212\) | 57.0989i | 3.92157i | ||||||||
\(213\) | 14.1060 | + | 21.5632i | 0.966527 | + | 1.47749i | ||||
\(214\) | −37.7000 | −2.57712 | ||||||||
\(215\) | 9.92713 | 0.677025 | ||||||||
\(216\) | −8.01325 | − | 47.5055i | −0.545233 | − | 3.23234i | ||||
\(217\) | 2.70960i | 0.183940i | ||||||||
\(218\) | − | 21.7529i | − | 1.47329i | ||||||
\(219\) | −5.85234 | − | 8.94620i | −0.395464 | − | 0.604528i | ||||
\(220\) | −0.0129283 | − | 17.9322i | −0.000871626 | − | 1.20899i | ||||
\(221\) | 0.138660i | 0.00932731i | ||||||||
\(222\) | −4.54562 | + | 2.97361i | −0.305082 | + | 0.199576i | ||||
\(223\) | 11.9148 | 0.797873 | 0.398936 | − | 0.916979i | \(-0.369379\pi\) | ||||
0.398936 | + | 0.916979i | \(0.369379\pi\) | |||||||
\(224\) | − | 20.6999i | − | 1.38307i | ||||||
\(225\) | −1.20186 | + | 2.74873i | −0.0801241 | + | 0.183249i | ||||
\(226\) | 31.4987i | 2.09526i | ||||||||
\(227\) | 22.8508 | 1.51666 | 0.758330 | − | 0.651871i | \(-0.226016\pi\) | ||||
0.758330 | + | 0.651871i | \(0.226016\pi\) | |||||||
\(228\) | 15.3549 | + | 23.4723i | 1.01690 | + | 1.55449i | ||||
\(229\) | 5.49872 | 0.363365 | 0.181683 | − | 0.983357i | \(-0.441846\pi\) | ||||
0.181683 | + | 0.983357i | \(0.441846\pi\) | |||||||
\(230\) | −0.754401 | −0.0497437 | ||||||||
\(231\) | 3.14826 | + | 4.80504i | 0.207141 | + | 0.316149i | ||||
\(232\) | −71.9438 | −4.72334 | ||||||||
\(233\) | 16.6448 | 1.09043 | 0.545217 | − | 0.838295i | \(-0.316447\pi\) | ||||
0.545217 | + | 0.838295i | \(0.316447\pi\) | |||||||
\(234\) | −1.28748 | − | 0.562939i | −0.0841651 | − | 0.0368005i | ||||
\(235\) | 11.2793 | 0.735779 | ||||||||
\(236\) | − | 29.8565i | − | 1.94349i | ||||||
\(237\) | −3.22629 | − | 4.93189i | −0.209570 | − | 0.320361i | ||||
\(238\) | − | 2.19267i | − | 0.142130i | ||||||
\(239\) | −10.1506 | −0.656586 | −0.328293 | − | 0.944576i | \(-0.606473\pi\) | ||||
−0.328293 | + | 0.944576i | \(0.606473\pi\) | |||||||
\(240\) | −13.6724 | − | 20.9004i | −0.882552 | − | 1.34912i | ||||
\(241\) | − | 14.9415i | − | 0.962465i | −0.876593 | − | 0.481233i | \(-0.840189\pi\) | ||
0.876593 | − | 0.481233i | \(-0.159811\pi\) | |||||||
\(242\) | −29.9369 | + | 0.0431663i | −1.92441 | + | 0.00277484i | ||||
\(243\) | 15.1226 | + | 3.78239i | 0.970116 | + | 0.242640i | ||||
\(244\) | 22.4518i | 1.43733i | ||||||||
\(245\) | − | 1.00000i | − | 0.0638877i | ||||||
\(246\) | −8.94581 | + | 5.85208i | −0.570364 | + | 0.373115i | ||||
\(247\) | 0.515474 | 0.0327988 | ||||||||
\(248\) | −25.1223 | −1.59527 | ||||||||
\(249\) | −26.2954 | + | 17.2016i | −1.66640 | + | 1.09011i | ||||
\(250\) | 2.72154i | 0.172125i | ||||||||
\(251\) | − | 22.0026i | − | 1.38879i | −0.719593 | − | 0.694397i | \(-0.755671\pi\) | ||
0.719593 | − | 0.694397i | \(-0.244329\pi\) | |||||||
\(252\) | 14.8617 | + | 6.49817i | 0.936200 | + | 0.409346i | ||||
\(253\) | 0.000662816 | 0.919358i | 4.16709e−5 | 0.0577995i | ||||||
\(254\) | 6.66769i | 0.418368i | ||||||||
\(255\) | −0.763934 | − | 1.16779i | −0.0478394 | − | 0.0731299i | ||||
\(256\) | 35.9962 | 2.24976 | ||||||||
\(257\) | 3.49330i | 0.217906i | 0.994047 | + | 0.108953i | \(0.0347498\pi\) | ||||
−0.994047 | + | 0.108953i | \(0.965250\pi\) | |||||||
\(258\) | −25.6174 | − | 39.1601i | −1.59487 | − | 2.43800i | ||||
\(259\) | − | 1.15232i | − | 0.0716017i | ||||||
\(260\) | −0.930529 | −0.0577090 | ||||||||
\(261\) | 9.32595 | − | 21.3290i | 0.577262 | − | 1.32023i | ||||
\(262\) | −41.0916 | −2.53865 | ||||||||
\(263\) | −9.26286 | −0.571172 | −0.285586 | − | 0.958353i | \(-0.592188\pi\) | ||||
−0.285586 | + | 0.958353i | \(0.592188\pi\) | |||||||
\(264\) | −44.5504 | + | 29.1894i | −2.74189 | + | 1.79649i | ||||
\(265\) | −10.5607 | −0.648737 | ||||||||
\(266\) | −8.15131 | −0.499789 | ||||||||
\(267\) | −13.9640 | − | 21.3462i | −0.854585 | − | 1.30636i | ||||
\(268\) | −46.9624 | −2.86868 | ||||||||
\(269\) | 22.0189i | 1.34252i | 0.741224 | + | 0.671258i | \(0.234246\pi\) | ||||
−0.741224 | + | 0.671258i | \(0.765754\pi\) | |||||||
\(270\) | 13.9445 | − | 2.35217i | 0.848636 | − | 0.143148i | ||||
\(271\) | − | 21.5629i | − | 1.30985i | −0.755692 | − | 0.654927i | \(-0.772699\pi\) | ||
0.755692 | − | 0.654927i | \(-0.227301\pi\) | |||||||
\(272\) | 11.6174 | 0.704408 | ||||||||
\(273\) | 0.249459 | − | 0.163189i | 0.0150979 | − | 0.00987663i | ||||
\(274\) | − | 10.7122i | − | 0.647147i | ||||||
\(275\) | 3.31662 | − | 0.00239114i | 0.200000 | − | 0.000144191i | ||||
\(276\) | 1.42109 | + | 2.17235i | 0.0855396 | + | 0.130760i | ||||
\(277\) | 23.1201i | 1.38915i | 0.719418 | + | 0.694577i | \(0.244408\pi\) | ||||
−0.719418 | + | 0.694577i | \(0.755592\pi\) | |||||||
\(278\) | − | 51.0298i | − | 3.06056i | ||||||
\(279\) | 3.25657 | − | 7.44797i | 0.194965 | − | 0.445898i | ||||
\(280\) | 9.27160 | 0.554084 | ||||||||
\(281\) | 7.75556 | 0.462658 | 0.231329 | − | 0.972876i | \(-0.425693\pi\) | ||||
0.231329 | + | 0.972876i | \(0.425693\pi\) | |||||||
\(282\) | −29.1066 | − | 44.4940i | −1.73327 | − | 2.64958i | ||||
\(283\) | − | 19.2362i | − | 1.14347i | −0.820437 | − | 0.571737i | \(-0.806270\pi\) | ||
0.820437 | − | 0.571737i | \(-0.193730\pi\) | |||||||
\(284\) | − | 80.4348i | − | 4.77293i | ||||||
\(285\) | −4.34130 | + | 2.83995i | −0.257156 | + | 0.168224i | ||||
\(286\) | 0.00111998 | + | 1.55347i | 6.62261e−5 | + | 0.0918587i | ||||
\(287\) | − | 2.26777i | − | 0.133862i | ||||||
\(288\) | −24.8784 | + | 56.8985i | −1.46597 | + | 3.35278i | ||||
\(289\) | −16.3509 | −0.961817 | ||||||||
\(290\) | − | 21.1180i | − | 1.24009i | ||||||
\(291\) | −22.5825 | + | 14.7728i | −1.32381 | + | 0.865997i | ||||
\(292\) | 33.3710i | 1.95289i | ||||||||
\(293\) | 1.86080 | 0.108709 | 0.0543545 | − | 0.998522i | \(-0.482690\pi\) | ||||
0.0543545 | + | 0.998522i | \(0.482690\pi\) | |||||||
\(294\) | −3.94475 | + | 2.58054i | −0.230063 | + | 0.150500i | ||||
\(295\) | 5.52208 | 0.321508 | ||||||||
\(296\) | 10.6839 | 0.620986 | ||||||||
\(297\) | −2.87874 | − | 16.9916i | −0.167042 | − | 0.985950i | ||||
\(298\) | 33.8311 | 1.95978 | ||||||||
\(299\) | 0.0477070 | 0.00275896 | ||||||||
\(300\) | 7.83687 | − | 5.12664i | 0.452462 | − | 0.295987i | ||||
\(301\) | 9.92713 | 0.572190 | ||||||||
\(302\) | − | 41.5393i | − | 2.39032i | ||||||
\(303\) | −0.312934 | + | 0.204712i | −0.0179776 | + | 0.0117604i | ||||
\(304\) | − | 43.1880i | − | 2.47700i | ||||||
\(305\) | −4.15256 | −0.237775 | ||||||||
\(306\) | −2.63529 | + | 6.02706i | −0.150649 | + | 0.344544i | ||||
\(307\) | 2.56587i | 0.146442i | 0.997316 | + | 0.0732208i | \(0.0233278\pi\) | ||||
−0.997316 | + | 0.0732208i | \(0.976672\pi\) | |||||||
\(308\) | −0.0129283 | − | 17.9322i | −0.000736658 | − | 1.02178i | ||||
\(309\) | −0.707355 | + | 0.462731i | −0.0402400 | + | 0.0263238i | ||||
\(310\) | − | 7.37428i | − | 0.418831i | ||||||
\(311\) | − | 10.8136i | − | 0.613185i | −0.951841 | − | 0.306593i | \(-0.900811\pi\) | ||
0.951841 | − | 0.306593i | \(-0.0991889\pi\) | |||||||
\(312\) | 1.51302 | + | 2.31288i | 0.0856579 | + | 0.130941i | ||||
\(313\) | 2.72343 | 0.153937 | 0.0769686 | − | 0.997034i | \(-0.475476\pi\) | ||||
0.0769686 | + | 0.997034i | \(0.475476\pi\) | |||||||
\(314\) | 25.1635 | 1.42006 | ||||||||
\(315\) | −1.20186 | + | 2.74873i | −0.0677172 | + | 0.154874i | ||||
\(316\) | 18.3969i | 1.03490i | ||||||||
\(317\) | 34.4141i | 1.93289i | 0.256873 | + | 0.966445i | \(0.417308\pi\) | ||||
−0.256873 | + | 0.966445i | \(0.582692\pi\) | |||||||
\(318\) | 27.2522 | + | 41.6592i | 1.52823 | + | 2.33613i | ||||
\(319\) | −25.7356 | + | 0.0185543i | −1.44092 | + | 0.00103884i | ||||
\(320\) | 27.4966i | 1.53711i | ||||||||
\(321\) | −20.0786 | + | 13.1348i | −1.12068 | + | 0.733114i | ||||
\(322\) | −0.754401 | −0.0420411 | ||||||||
\(323\) | − | 2.41309i | − | 0.134268i | ||||||
\(324\) | −33.0410 | − | 35.7234i | −1.83561 | − | 1.98464i | ||||
\(325\) | − | 0.172105i | − | 0.00954667i | ||||||
\(326\) | 32.4811 | 1.79896 | ||||||||
\(327\) | −7.57878 | − | 11.5853i | −0.419107 | − | 0.640670i | ||||
\(328\) | 21.0259 | 1.16096 | ||||||||
\(329\) | 11.2793 | 0.621847 | ||||||||
\(330\) | −8.56811 | − | 13.0771i | −0.471659 | − | 0.719870i | ||||
\(331\) | −2.92456 | −0.160749 | −0.0803743 | − | 0.996765i | \(-0.525612\pi\) | ||||
−0.0803743 | + | 0.996765i | \(0.525612\pi\) | |||||||
\(332\) | 98.0867 | 5.38321 | ||||||||
\(333\) | −1.38493 | + | 3.16742i | −0.0758937 | + | 0.173574i | ||||
\(334\) | 18.6107 | 1.01833 | ||||||||
\(335\) | − | 8.68588i | − | 0.474560i | ||||||
\(336\) | −13.6724 | − | 20.9004i | −0.745893 | − | 1.14021i | ||||
\(337\) | 13.0089i | 0.708640i | 0.935124 | + | 0.354320i | \(0.115288\pi\) | ||||
−0.935124 | + | 0.354320i | \(0.884712\pi\) | |||||||
\(338\) | −35.2993 | −1.92003 | ||||||||
\(339\) | 10.9743 | + | 16.7758i | 0.596040 | + | 0.911139i | ||||
\(340\) | 4.35608i | 0.236242i | ||||||||
\(341\) | −8.98673 | + | 0.00647903i | −0.486659 | + | 0.000350859i | ||||
\(342\) | 22.4058 | + | 9.79675i | 1.21157 | + | 0.529747i | ||||
\(343\) | − | 1.00000i | − | 0.0539949i | ||||||
\(344\) | 92.0404i | 4.96248i | ||||||||
\(345\) | −0.401785 | + | 0.262836i | −0.0216314 | + | 0.0141506i | ||||
\(346\) | −63.9741 | −3.43927 | ||||||||
\(347\) | −8.30106 | −0.445624 | −0.222812 | − | 0.974861i | \(-0.571524\pi\) | ||||
−0.222812 | + | 0.974861i | \(0.571524\pi\) | |||||||
\(348\) | −60.8109 | + | 39.7807i | −3.25980 | + | 2.13247i | ||||
\(349\) | − | 13.4179i | − | 0.718243i | −0.933291 | − | 0.359121i | \(-0.883076\pi\) | ||
0.933291 | − | 0.359121i | \(-0.116924\pi\) | |||||||
\(350\) | 2.72154i | 0.145472i | ||||||||
\(351\) | −0.881826 | + | 0.148747i | −0.0470684 | + | 0.00793952i | ||||
\(352\) | 68.6538 | − | 0.0494964i | 3.65926 | − | 0.00263816i | ||||
\(353\) | − | 2.79079i | − | 0.148539i | −0.997238 | − | 0.0742693i | \(-0.976338\pi\) | ||
0.997238 | − | 0.0742693i | \(-0.0236624\pi\) | |||||||
\(354\) | −14.2499 | − | 21.7832i | −0.757375 | − | 1.15777i | ||||
\(355\) | 14.8767 | 0.789575 | ||||||||
\(356\) | 79.6252i | 4.22013i | ||||||||
\(357\) | −0.763934 | − | 1.16779i | −0.0404317 | − | 0.0618061i | ||||
\(358\) | − | 45.5388i | − | 2.40680i | ||||||
\(359\) | 12.6490 | 0.667591 | 0.333795 | − | 0.942646i | \(-0.391671\pi\) | ||||
0.333795 | + | 0.942646i | \(0.391671\pi\) | |||||||
\(360\) | −25.4851 | − | 11.1432i | −1.34319 | − | 0.587297i | ||||
\(361\) | 10.0293 | 0.527857 | ||||||||
\(362\) | −51.1328 | −2.68748 | ||||||||
\(363\) | −15.9290 | + | 10.4531i | −0.836055 | + | 0.548645i | ||||
\(364\) | −0.930529 | −0.0487730 | ||||||||
\(365\) | −6.17210 | −0.323062 | ||||||||
\(366\) | 10.7158 | + | 16.3808i | 0.560126 | + | 0.856238i | ||||
\(367\) | 20.5199 | 1.07113 | 0.535566 | − | 0.844494i | \(-0.320098\pi\) | ||||
0.535566 | + | 0.844494i | \(0.320098\pi\) | |||||||
\(368\) | − | 3.99703i | − | 0.208360i | ||||||
\(369\) | −2.72555 | + | 6.23350i | −0.141886 | + | 0.324503i | ||||
\(370\) | 3.13608i | 0.163037i | ||||||||
\(371\) | −10.5607 | −0.548283 | ||||||||
\(372\) | −21.2348 | + | 13.8912i | −1.10097 | + | 0.720223i | ||||
\(373\) | − | 6.46957i | − | 0.334982i | −0.985874 | − | 0.167491i | \(-0.946434\pi\) | ||
0.985874 | − | 0.167491i | \(-0.0535664\pi\) | |||||||
\(374\) | 7.27226 | − | 0.00524298i | 0.376040 | − | 0.000271108i | ||||
\(375\) | 0.948193 | + | 1.44946i | 0.0489645 | + | 0.0748497i | ||||
\(376\) | 104.577i | 5.39315i | ||||||||
\(377\) | 1.33546i | 0.0687799i | ||||||||
\(378\) | 13.9445 | − | 2.35217i | 0.717229 | − | 0.120982i | ||||
\(379\) | 27.7284 | 1.42431 | 0.712155 | − | 0.702022i | \(-0.247719\pi\) | ||||
0.712155 | + | 0.702022i | \(0.247719\pi\) | |||||||
\(380\) | 16.1939 | 0.830727 | ||||||||
\(381\) | 2.32305 | + | 3.55114i | 0.119013 | + | 0.181930i | ||||
\(382\) | − | 54.2364i | − | 2.77497i | ||||||
\(383\) | 14.3961i | 0.735607i | 0.929903 | + | 0.367804i | \(0.119890\pi\) | ||||
−0.929903 | + | 0.367804i | \(0.880110\pi\) | |||||||
\(384\) | 48.4599 | − | 31.7010i | 2.47296 | − | 1.61774i | ||||
\(385\) | 3.31662 | − | 0.00239114i | 0.169031 | − | 0.000121864i | ||||
\(386\) | 59.3547i | 3.02108i | ||||||||
\(387\) | −27.2870 | − | 11.9310i | −1.38708 | − | 0.606489i | ||||
\(388\) | 84.2369 | 4.27648 | ||||||||
\(389\) | 18.3625i | 0.931017i | 0.885043 | + | 0.465508i | \(0.154128\pi\) | ||||
−0.885043 | + | 0.465508i | \(0.845872\pi\) | |||||||
\(390\) | −0.678912 | + | 0.444124i | −0.0343780 | + | 0.0224891i | ||||
\(391\) | − | 0.223330i | − | 0.0112943i | ||||||
\(392\) | 9.27160 | 0.468286 | ||||||||
\(393\) | −21.8849 | + | 14.3165i | −1.10395 | + | 0.722171i | ||||
\(394\) | 29.4590 | 1.48412 | ||||||||
\(395\) | −3.40257 | −0.171202 | ||||||||
\(396\) | −21.5164 | + | 49.3063i | −1.08124 | + | 2.47773i | ||||
\(397\) | 21.7707 | 1.09264 | 0.546320 | − | 0.837576i | \(-0.316028\pi\) | ||||
0.546320 | + | 0.837576i | \(0.316028\pi\) | |||||||
\(398\) | 2.96863 | 0.148804 | ||||||||
\(399\) | −4.34130 | + | 2.83995i | −0.217337 | + | 0.142175i | ||||
\(400\) | −14.4195 | −0.720974 | ||||||||
\(401\) | − | 7.26794i | − | 0.362943i | −0.983396 | − | 0.181472i | \(-0.941914\pi\) | ||
0.983396 | − | 0.181472i | \(-0.0580861\pi\) | |||||||
\(402\) | −34.2636 | + | 22.4142i | −1.70891 | + | 1.11792i | ||||
\(403\) | 0.466336i | 0.0232298i | ||||||||
\(404\) | 1.16730 | 0.0580755 | ||||||||
\(405\) | 6.60719 | − | 6.11106i | 0.328314 | − | 0.303661i | ||||
\(406\) | − | 21.1180i | − | 1.04807i | ||||||
\(407\) | 3.82181 | − | 0.00275536i | 0.189440 | − | 0.000136578i | ||||
\(408\) | 10.8273 | − | 7.08289i | 0.536031 | − | 0.350655i | ||||
\(409\) | − | 25.5498i | − | 1.26335i | −0.775231 | − | 0.631677i | \(-0.782367\pi\) | ||
0.775231 | − | 0.631677i | \(-0.217633\pi\) | |||||||
\(410\) | 6.17182i | 0.304805i | ||||||||
\(411\) | −3.73216 | − | 5.70519i | −0.184094 | − | 0.281416i | ||||
\(412\) | 2.63857 | 0.129993 | ||||||||
\(413\) | 5.52208 | 0.271724 | ||||||||
\(414\) | 2.07365 | + | 0.906685i | 0.101914 | + | 0.0445612i | ||||
\(415\) | 18.1415i | 0.890532i | ||||||||
\(416\) | − | 3.56256i | − | 0.174669i | ||||||
\(417\) | −17.7790 | − | 27.1779i | −0.870639 | − | 1.33091i | ||||
\(418\) | −0.0194909 | − | 27.0348i | −0.000953332 | − | 1.32232i | ||||
\(419\) | − | 0.887405i | − | 0.0433526i | −0.999765 | − | 0.0216763i | \(-0.993100\pi\) | ||
0.999765 | − | 0.0216763i | \(-0.00690032\pi\) | |||||||
\(420\) | 7.83687 | − | 5.12664i | 0.382400 | − | 0.250155i | ||||
\(421\) | 19.1695 | 0.934262 | 0.467131 | − | 0.884188i | \(-0.345288\pi\) | ||||
0.467131 | + | 0.884188i | \(0.345288\pi\) | |||||||
\(422\) | − | 32.4389i | − | 1.57910i | ||||||
\(423\) | −31.0037 | − | 13.5561i | −1.50745 | − | 0.659122i | ||||
\(424\) | − | 97.9143i | − | 4.75514i | ||||||
\(425\) | −0.805674 | −0.0390809 | ||||||||
\(426\) | −38.3900 | − | 58.6850i | −1.86000 | − | 2.84330i | ||||
\(427\) | −4.15256 | −0.200956 | ||||||||
\(428\) | 74.8969 | 3.62028 | ||||||||
\(429\) | 0.541832 | + | 0.826972i | 0.0261599 | + | 0.0399266i | ||||
\(430\) | −27.0170 | −1.30288 | ||||||||
\(431\) | 28.7718 | 1.38589 | 0.692945 | − | 0.720991i | \(-0.256313\pi\) | ||||
0.692945 | + | 0.720991i | \(0.256313\pi\) | |||||||
\(432\) | 12.4625 | + | 73.8821i | 0.599600 | + | 3.55465i | ||||
\(433\) | 6.02132 | 0.289366 | 0.144683 | − | 0.989478i | \(-0.453784\pi\) | ||||
0.144683 | + | 0.989478i | \(0.453784\pi\) | |||||||
\(434\) | − | 7.37428i | − | 0.353977i | ||||||
\(435\) | −7.35759 | − | 11.2472i | −0.352769 | − | 0.539262i | ||||
\(436\) | 43.2155i | 2.06965i | ||||||||
\(437\) | −0.830237 | −0.0397156 | ||||||||
\(438\) | 15.9273 | + | 24.3474i | 0.761038 | + | 1.16336i | ||||
\(439\) | 11.4284i | 0.545447i | 0.962092 | + | 0.272723i | \(0.0879244\pi\) | ||||
−0.962092 | + | 0.272723i | \(0.912076\pi\) | |||||||
\(440\) | 0.0221697 | + | 30.7504i | 0.00105690 | + | 1.46597i | ||||
\(441\) | −1.20186 | + | 2.74873i | −0.0572315 | + | 0.130892i | ||||
\(442\) | − | 0.377369i | − | 0.0179496i | ||||||
\(443\) | − | 13.9506i | − | 0.662814i | −0.943488 | − | 0.331407i | \(-0.892477\pi\) | ||
0.943488 | − | 0.331407i | \(-0.107523\pi\) | |||||||
\(444\) | 9.03058 | − | 5.90754i | 0.428572 | − | 0.280359i | ||||
\(445\) | −14.7270 | −0.698126 | ||||||||
\(446\) | −32.4265 | −1.53544 | ||||||||
\(447\) | 18.0181 | − | 11.7869i | 0.852226 | − | 0.557501i | ||||
\(448\) | 27.4966i | 1.29909i | ||||||||
\(449\) | − | 20.3223i | − | 0.959070i | −0.877523 | − | 0.479535i | \(-0.840805\pi\) | ||
0.877523 | − | 0.479535i | \(-0.159195\pi\) | |||||||
\(450\) | 3.27091 | − | 7.48077i | 0.154192 | − | 0.352647i | ||||
\(451\) | 7.52135 | − | 0.00542256i | 0.354167 | − | 0.000255338i | ||||
\(452\) | − | 62.5770i | − | 2.94338i | ||||||
\(453\) | −14.4725 | − | 22.1234i | −0.679975 | − | 1.03945i | ||||
\(454\) | −62.1892 | −2.91868 | ||||||||
\(455\) | − | 0.172105i | − | 0.00806840i | ||||||
\(456\) | −26.3308 | − | 40.2508i | −1.23305 | − | 1.88491i | ||||
\(457\) | − | 19.8529i | − | 0.928680i | −0.885657 | − | 0.464340i | \(-0.846292\pi\) | ||
0.885657 | − | 0.464340i | \(-0.153708\pi\) | |||||||
\(458\) | −14.9650 | −0.699266 | ||||||||
\(459\) | 0.696328 | + | 4.12809i | 0.0325018 | + | 0.192683i | ||||
\(460\) | 1.49874 | 0.0698789 | ||||||||
\(461\) | −14.5172 | −0.676134 | −0.338067 | − | 0.941122i | \(-0.609773\pi\) | ||||
−0.338067 | + | 0.941122i | \(0.609773\pi\) | |||||||
\(462\) | −8.56811 | − | 13.0771i | −0.398625 | − | 0.608401i | ||||
\(463\) | −8.28367 | −0.384975 | −0.192487 | − | 0.981299i | \(-0.561655\pi\) | ||||
−0.192487 | + | 0.981299i | \(0.561655\pi\) | |||||||
\(464\) | 111.889 | 5.19433 | ||||||||
\(465\) | −2.56922 | − | 3.92746i | −0.119145 | − | 0.182131i | ||||
\(466\) | −45.2993 | −2.09845 | ||||||||
\(467\) | − | 36.8146i | − | 1.70358i | −0.523886 | − | 0.851788i | \(-0.675518\pi\) | ||
0.523886 | − | 0.851788i | \(-0.324482\pi\) | |||||||
\(468\) | 2.55778 | + | 1.11837i | 0.118233 | + | 0.0516965i | ||||
\(469\) | − | 8.68588i | − | 0.401076i | ||||||
\(470\) | −30.6970 | −1.41595 | ||||||||
\(471\) | 13.4018 | − | 8.76707i | 0.617523 | − | 0.403965i | ||||
\(472\) | 51.1985i | 2.35660i | ||||||||
\(473\) | 0.0237371 | + | 32.9246i | 0.00109144 | + | 1.51387i | ||||
\(474\) | 8.78047 | + | 13.4223i | 0.403301 | + | 0.616507i | ||||
\(475\) | 2.99512i | 0.137425i | ||||||||
\(476\) | 4.35608i | 0.199661i | ||||||||
\(477\) | 29.0285 | + | 12.6925i | 1.32912 | + | 0.581148i | ||||
\(478\) | 27.6251 | 1.26354 | ||||||||
\(479\) | −39.8146 | −1.81918 | −0.909589 | − | 0.415510i | \(-0.863603\pi\) | ||||
−0.909589 | + | 0.415510i | \(0.863603\pi\) | |||||||
\(480\) | 19.6275 | + | 30.0037i | 0.895869 | + | 1.36947i | ||||
\(481\) | − | 0.198320i | − | 0.00904262i | ||||||
\(482\) | 40.6638i | 1.85218i | ||||||||
\(483\) | −0.401785 | + | 0.262836i | −0.0182819 | + | 0.0119595i | ||||
\(484\) | 59.4742 | − | 0.0857566i | 2.70337 | − | 0.00389803i | ||||
\(485\) | 15.5799i | 0.707449i | ||||||||
\(486\) | −41.1567 | − | 10.2939i | −1.86691 | − | 0.466941i | ||||
\(487\) | −25.6257 | −1.16121 | −0.580606 | − | 0.814185i | \(-0.697184\pi\) | ||||
−0.580606 | + | 0.814185i | \(0.697184\pi\) | |||||||
\(488\) | − | 38.5008i | − | 1.74285i | ||||||
\(489\) | 17.2990 | − | 11.3165i | 0.782290 | − | 0.511751i | ||||
\(490\) | 2.72154i | 0.122946i | ||||||||
\(491\) | −4.88356 | −0.220392 | −0.110196 | − | 0.993910i | \(-0.535148\pi\) | ||||
−0.110196 | + | 0.993910i | \(0.535148\pi\) | |||||||
\(492\) | 17.7722 | − | 11.6261i | 0.801234 | − | 0.524144i | ||||
\(493\) | 6.25170 | 0.281562 | ||||||||
\(494\) | −1.40288 | −0.0631186 | ||||||||
\(495\) | −9.11939 | − | 3.97955i | −0.409886 | − | 0.178867i | ||||
\(496\) | 39.0710 | 1.75434 | ||||||||
\(497\) | 14.8767 | 0.667312 | ||||||||
\(498\) | 71.5638 | − | 46.8149i | 3.20685 | − | 2.09783i | ||||
\(499\) | 19.6421 | 0.879303 | 0.439651 | − | 0.898169i | \(-0.355102\pi\) | ||||
0.439651 | + | 0.898169i | \(0.355102\pi\) | |||||||
\(500\) | − | 5.40675i | − | 0.241797i | ||||||
\(501\) | 9.91185 | − | 6.48404i | 0.442829 | − | 0.289685i | ||||
\(502\) | 59.8809i | 2.67262i | ||||||||
\(503\) | −14.6898 | −0.654985 | −0.327492 | − | 0.944854i | \(-0.606204\pi\) | ||||
−0.327492 | + | 0.944854i | \(0.606204\pi\) | |||||||
\(504\) | −25.4851 | − | 11.1432i | −1.13520 | − | 0.496356i | ||||
\(505\) | 0.215897i | 0.00960730i | ||||||||
\(506\) | −0.00180388 | − | 2.50206i | −8.01921e−5 | − | 0.111230i | ||||
\(507\) | −18.8000 | + | 12.2984i | −0.834939 | + | 0.546192i | ||||
\(508\) | − | 13.2464i | − | 0.587714i | ||||||
\(509\) | − | 24.7908i | − | 1.09883i | −0.835548 | − | 0.549417i | \(-0.814850\pi\) | ||
0.835548 | − | 0.549417i | \(-0.185150\pi\) | |||||||
\(510\) | 2.07907 | + | 3.17818i | 0.0920629 | + | 0.140732i | ||||
\(511\) | −6.17210 | −0.273038 | ||||||||
\(512\) | −31.0987 | −1.37438 | ||||||||
\(513\) | 15.3463 | − | 2.58862i | 0.677555 | − | 0.114290i | ||||
\(514\) | − | 9.50713i | − | 0.419342i | ||||||
\(515\) | 0.488013i | 0.0215044i | ||||||||
\(516\) | 50.8929 | + | 77.7976i | 2.24043 | + | 3.42485i | ||||
\(517\) | 0.0269703 | + | 37.4091i | 0.00118615 | + | 1.64525i | ||||
\(518\) | 3.13608i | 0.137792i | ||||||||
\(519\) | −34.0719 | + | 22.2888i | −1.49559 | + | 0.978370i | ||||
\(520\) | 1.59569 | 0.0699756 | ||||||||
\(521\) | 9.73355i | 0.426435i | 0.977005 | + | 0.213217i | \(0.0683942\pi\) | ||||
−0.977005 | + | 0.213217i | \(0.931606\pi\) | |||||||
\(522\) | −25.3809 | + | 58.0477i | −1.11089 | + | 2.54068i | ||||
\(523\) | 4.63100i | 0.202499i | 0.994861 | + | 0.101250i | \(0.0322841\pi\) | ||||
−0.994861 | + | 0.101250i | \(0.967716\pi\) | |||||||
\(524\) | 81.6349 | 3.56624 | ||||||||
\(525\) | 0.948193 | + | 1.44946i | 0.0413825 | + | 0.0632596i | ||||
\(526\) | 25.2092 | 1.09917 | ||||||||
\(527\) | 2.18306 | 0.0950954 | ||||||||
\(528\) | 69.2862 | − | 45.3963i | 3.01529 | − | 1.97562i | ||||
\(529\) | 22.9232 | 0.996659 | ||||||||
\(530\) | 28.7412 | 1.24844 | ||||||||
\(531\) | −15.1787 | − | 6.63677i | −0.658700 | − | 0.288011i | ||||
\(532\) | 16.1939 | 0.702092 | ||||||||
\(533\) | − | 0.390295i | − | 0.0169056i | ||||||
\(534\) | 38.0036 | + | 58.0943i | 1.64458 | + | 2.51399i | ||||
\(535\) | 13.8525i | 0.598895i | ||||||||
\(536\) | 80.5320 | 3.47845 | ||||||||
\(537\) | −15.8659 | − | 24.2534i | −0.684663 | − | 1.04661i | ||||
\(538\) | − | 59.9252i | − | 2.58356i | ||||||
\(539\) | 3.31662 | − | 0.00239114i | 0.142857 | − | 0.000102994i | ||||
\(540\) | −27.7030 | + | 4.67295i | −1.19215 | + | 0.201092i | ||||
\(541\) | − | 33.9406i | − | 1.45922i | −0.683863 | − | 0.729610i | \(-0.739701\pi\) | ||
0.683863 | − | 0.729610i | \(-0.260299\pi\) | |||||||
\(542\) | 58.6843i | 2.52071i | ||||||||
\(543\) | −27.2327 | + | 17.8149i | −1.16867 | + | 0.764508i | ||||
\(544\) | −16.6774 | −0.715037 | ||||||||
\(545\) | −7.99287 | −0.342377 | ||||||||
\(546\) | −0.678912 | + | 0.444124i | −0.0290547 | + | 0.0190067i | ||||
\(547\) | 2.35160i | 0.100547i | 0.998735 | + | 0.0502735i | \(0.0160093\pi\) | ||||
−0.998735 | + | 0.0502735i | \(0.983991\pi\) | |||||||
\(548\) | 21.2814i | 0.909097i | ||||||||
\(549\) | 11.4143 | + | 4.99080i | 0.487149 | + | 0.213002i | ||||
\(550\) | −9.02631 | + | 0.00650757i | −0.384883 | + | 0.000277484i | ||||
\(551\) | − | 23.2409i | − | 0.990094i | ||||||
\(552\) | −2.43691 | − | 3.72519i | −0.103722 | − | 0.158555i | ||||
\(553\) | −3.40257 | −0.144692 | ||||||||
\(554\) | − | 62.9222i | − | 2.67331i | ||||||
\(555\) | 1.09262 | + | 1.67024i | 0.0463792 | + | 0.0708978i | ||||
\(556\) | 101.379i | 4.29941i | ||||||||
\(557\) | −7.96546 | −0.337507 | −0.168754 | − | 0.985658i | \(-0.553974\pi\) | ||||
−0.168754 | + | 0.985658i | \(0.553974\pi\) | |||||||
\(558\) | −8.86286 | + | 20.2699i | −0.375195 | + | 0.858094i | ||||
\(559\) | 1.70851 | 0.0722622 | ||||||||
\(560\) | −14.4195 | −0.609334 | ||||||||
\(561\) | 3.87130 | − | 2.53647i | 0.163446 | − | 0.107090i | ||||
\(562\) | −21.1070 | −0.890346 | ||||||||
\(563\) | 25.1595 | 1.06035 | 0.530174 | − | 0.847889i | \(-0.322127\pi\) | ||||
0.530174 | + | 0.847889i | \(0.322127\pi\) | |||||||
\(564\) | 57.8249 | + | 88.3942i | 2.43487 | + | 3.72207i | ||||
\(565\) | 11.5739 | 0.486916 | ||||||||
\(566\) | 52.3520i | 2.20052i | ||||||||
\(567\) | 6.60719 | − | 6.11106i | 0.277476 | − | 0.256640i | ||||
\(568\) | 137.931i | 5.78746i | ||||||||
\(569\) | −23.6867 | −0.992998 | −0.496499 | − | 0.868037i | \(-0.665381\pi\) | ||||
−0.496499 | + | 0.868037i | \(0.665381\pi\) | |||||||
\(570\) | 11.8150 | − | 7.72901i | 0.494875 | − | 0.323733i | ||||
\(571\) | − | 16.6368i | − | 0.696227i | −0.937452 | − | 0.348114i | \(-0.886822\pi\) | ||
0.937452 | − | 0.348114i | \(-0.113178\pi\) | |||||||
\(572\) | −0.00222502 | − | 3.08621i | −9.30329e−5 | − | 0.129041i | ||||
\(573\) | −18.8961 | − | 28.8857i | −0.789398 | − | 1.20672i | ||||
\(574\) | 6.17182i | 0.257607i | ||||||||
\(575\) | 0.277197i | 0.0115599i | ||||||||
\(576\) | 33.0471 | − | 75.5807i | 1.37696 | − | 3.14920i | ||||
\(577\) | 11.8929 | 0.495109 | 0.247554 | − | 0.968874i | \(-0.420373\pi\) | ||||
0.247554 | + | 0.968874i | \(0.420373\pi\) | |||||||
\(578\) | 44.4995 | 1.85094 | ||||||||
\(579\) | 20.6794 | + | 31.6116i | 0.859406 | + | 1.31374i | ||||
\(580\) | 41.9542i | 1.74205i | ||||||||
\(581\) | 18.1415i | 0.752637i | ||||||||
\(582\) | 61.4590 | − | 40.2047i | 2.54756 | − | 1.66654i | ||||
\(583\) | −0.0252520 | − | 35.0258i | −0.00104583 | − | 1.45062i | ||||
\(584\) | − | 57.2252i | − | 2.36800i | ||||||
\(585\) | −0.206846 | + | 0.473070i | −0.00855204 | + | 0.0195591i | ||||
\(586\) | −5.06423 | −0.209201 | ||||||||
\(587\) | 42.5068i | 1.75444i | 0.480087 | + | 0.877221i | \(0.340605\pi\) | ||||
−0.480087 | + | 0.877221i | \(0.659395\pi\) | |||||||
\(588\) | 7.83687 | − | 5.12664i | 0.323187 | − | 0.211419i | ||||
\(589\) | − | 8.11557i | − | 0.334396i | ||||||
\(590\) | −15.0285 | −0.618714 | ||||||||
\(591\) | 15.6895 | − | 10.2636i | 0.645381 | − | 0.422189i | ||||
\(592\) | −16.6159 | −0.682908 | ||||||||
\(593\) | 2.87782 | 0.118178 | 0.0590889 | − | 0.998253i | \(-0.481180\pi\) | ||||
0.0590889 | + | 0.998253i | \(0.481180\pi\) | |||||||
\(594\) | 7.83460 | + | 46.2431i | 0.321457 | + | 1.89738i | ||||
\(595\) | −0.805674 | −0.0330294 | ||||||||
\(596\) | −67.2108 | −2.75306 | ||||||||
\(597\) | 1.58106 | − | 1.03428i | 0.0647085 | − | 0.0423303i | ||||
\(598\) | −0.129836 | −0.00530940 | ||||||||
\(599\) | − | 19.2896i | − | 0.788153i | −0.919078 | − | 0.394076i | \(-0.871065\pi\) | ||
0.919078 | − | 0.394076i | \(-0.128935\pi\) | |||||||
\(600\) | −13.4388 | + | 8.79126i | −0.548637 | + | 0.358902i | ||||
\(601\) | − | 16.0532i | − | 0.654822i | −0.944882 | − | 0.327411i | \(-0.893824\pi\) | ||
0.944882 | − | 0.327411i | \(-0.106176\pi\) | |||||||
\(602\) | −27.0170 | −1.10113 | ||||||||
\(603\) | −10.4392 | + | 23.8751i | −0.425118 | + | 0.972271i | ||||
\(604\) | 82.5243i | 3.35787i | ||||||||
\(605\) | 0.0158610 | + | 11.0000i | 0.000644842 | + | 0.447213i | ||||
\(606\) | 0.851662 | − | 0.557132i | 0.0345964 | − | 0.0226319i | ||||
\(607\) | − | 18.9219i | − | 0.768015i | −0.923330 | − | 0.384007i | \(-0.874544\pi\) | ||
0.923330 | − | 0.384007i | \(-0.125456\pi\) | |||||||
\(608\) | 61.9986i | 2.51438i | ||||||||
\(609\) | −7.35759 | − | 11.2472i | −0.298144 | − | 0.455760i | ||||
\(610\) | 11.3013 | 0.457577 | ||||||||
\(611\) | 1.94122 | 0.0785334 | ||||||||
\(612\) | 5.23540 | − | 11.9737i | 0.211629 | − | 0.484008i | ||||
\(613\) | − | 16.2024i | − | 0.654407i | −0.944954 | − | 0.327204i | \(-0.893894\pi\) | ||
0.944954 | − | 0.327204i | \(-0.106106\pi\) | |||||||
\(614\) | − | 6.98309i | − | 0.281815i | ||||||
\(615\) | 2.15029 | + | 3.28704i | 0.0867079 | + | 0.132546i | ||||
\(616\) | 0.0221697 | + | 30.7504i | 0.000893242 | + | 1.23897i | ||||
\(617\) | − | 28.2745i | − | 1.13829i | −0.822238 | − | 0.569144i | \(-0.807275\pi\) | ||
0.822238 | − | 0.569144i | \(-0.192725\pi\) | |||||||
\(618\) | 1.92509 | − | 1.25934i | 0.0774385 | − | 0.0506580i | ||||
\(619\) | −36.7577 | −1.47742 | −0.738708 | − | 0.674025i | \(-0.764564\pi\) | ||||
−0.738708 | + | 0.674025i | \(0.764564\pi\) | |||||||
\(620\) | 14.6501i | 0.588364i | ||||||||
\(621\) | 1.42029 | − | 0.239576i | 0.0569944 | − | 0.00961384i | ||||
\(622\) | 29.4297i | 1.18002i | ||||||||
\(623\) | −14.7270 | −0.590024 | ||||||||
\(624\) | −2.35309 | − | 3.59707i | −0.0941992 | − | 0.143998i | ||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | −7.41190 | −0.296239 | ||||||||
\(627\) | −9.42942 | − | 14.3917i | −0.376575 | − | 0.574747i | ||||
\(628\) | −49.9913 | −1.99487 | ||||||||
\(629\) | −0.928395 | −0.0370175 | ||||||||
\(630\) | 3.27091 | − | 7.48077i | 0.130316 | − | 0.298041i | ||||
\(631\) | −4.33480 | −0.172566 | −0.0862829 | − | 0.996271i | \(-0.527499\pi\) | ||||
−0.0862829 | + | 0.996271i | \(0.527499\pi\) | |||||||
\(632\) | − | 31.5473i | − | 1.25488i | ||||||
\(633\) | −11.3018 | − | 17.2766i | −0.449207 | − | 0.686682i | ||||
\(634\) | − | 93.6593i | − | 3.71968i | ||||||
\(635\) | 2.44997 | 0.0972243 | ||||||||
\(636\) | −54.1408 | − | 82.7625i | −2.14682 | − | 3.28175i | ||||
\(637\) | − | 0.172105i | − | 0.00681905i | ||||||
\(638\) | 70.0405 | − | 0.0504961i | 2.77293 | − | 0.00199916i | ||||
\(639\) | −40.8921 | − | 17.8798i | −1.61767 | − | 0.707312i | ||||
\(640\) | − | 33.4331i | − | 1.32156i | ||||||
\(641\) | − | 44.7866i | − | 1.76896i | −0.466576 | − | 0.884481i | \(-0.654512\pi\) | ||
0.466576 | − | 0.884481i | \(-0.345488\pi\) | |||||||
\(642\) | 54.6446 | − | 35.7469i | 2.15665 | − | 1.41082i | ||||
\(643\) | −28.3896 | −1.11958 | −0.559789 | − | 0.828635i | \(-0.689118\pi\) | ||||
−0.559789 | + | 0.828635i | \(0.689118\pi\) | |||||||
\(644\) | 1.49874 | 0.0590584 | ||||||||
\(645\) | −14.3890 | + | 9.41283i | −0.566565 | + | 0.370630i | ||||
\(646\) | 6.56730i | 0.258387i | ||||||||
\(647\) | − | 39.9059i | − | 1.56886i | −0.620215 | − | 0.784432i | \(-0.712955\pi\) | ||
0.620215 | − | 0.784432i | \(-0.287045\pi\) | |||||||
\(648\) | 56.6593 | + | 61.2592i | 2.22579 | + | 2.40649i | ||||
\(649\) | 0.0132040 | + | 18.3146i | 0.000518304 | + | 0.718913i | ||||
\(650\) | 0.468390i | 0.0183718i | ||||||||
\(651\) | −2.56922 | − | 3.92746i | −0.100696 | − | 0.153929i | ||||
\(652\) | −64.5287 | −2.52714 | ||||||||
\(653\) | 23.0556i | 0.902236i | 0.892464 | + | 0.451118i | \(0.148975\pi\) | ||||
−0.892464 | + | 0.451118i | \(0.851025\pi\) | |||||||
\(654\) | 20.6259 | + | 31.5299i | 0.806537 | + | 1.23292i | ||||
\(655\) | 15.0987i | 0.589955i | ||||||||
\(656\) | −32.7001 | −1.27672 | ||||||||
\(657\) | 16.9654 | + | 7.41801i | 0.661885 | + | 0.289404i | ||||
\(658\) | −30.6970 | −1.19669 | ||||||||
\(659\) | −15.9548 | −0.621512 | −0.310756 | − | 0.950490i | \(-0.600582\pi\) | ||||
−0.310756 | + | 0.950490i | \(0.600582\pi\) | |||||||
\(660\) | 17.0219 | + | 25.9797i | 0.662576 | + | 1.01126i | ||||
\(661\) | 16.3665 | 0.636584 | 0.318292 | − | 0.947993i | \(-0.396891\pi\) | ||||
0.318292 | + | 0.947993i | \(0.396891\pi\) | |||||||
\(662\) | 7.95930 | 0.309347 | ||||||||
\(663\) | −0.131477 | − | 0.200983i | −0.00510614 | − | 0.00780552i | ||||
\(664\) | −168.201 | −6.52746 | ||||||||
\(665\) | 2.99512i | 0.116146i | ||||||||
\(666\) | 3.76913 | − | 8.62025i | 0.146051 | − | 0.334028i | ||||
\(667\) | − | 2.15093i | − | 0.0832845i | ||||||
\(668\) | −36.9731 | −1.43053 | ||||||||
\(669\) | −17.2700 | + | 11.2975i | −0.667696 | + | 0.436787i | ||||
\(670\) | 23.6389i | 0.913251i | ||||||||
\(671\) | −0.00992934 | − | 13.7725i | −0.000383318 | − | 0.531680i | ||||
\(672\) | 19.6275 | + | 30.0037i | 0.757147 | + | 1.15742i | ||||
\(673\) | − | 10.5404i | − | 0.406302i | −0.979147 | − | 0.203151i | \(-0.934882\pi\) | ||
0.979147 | − | 0.203151i | \(-0.0651182\pi\) | |||||||
\(674\) | − | 35.4042i | − | 1.36372i | ||||||
\(675\) | −0.864280 | − | 5.12377i | −0.0332661 | − | 0.197214i | ||||
\(676\) | 70.1276 | 2.69722 | ||||||||
\(677\) | −23.5251 | −0.904142 | −0.452071 | − | 0.891982i | \(-0.649315\pi\) | ||||
−0.452071 | + | 0.891982i | \(0.649315\pi\) | |||||||
\(678\) | −29.8668 | − | 45.6560i | −1.14703 | − | 1.75341i | ||||
\(679\) | 15.5799i | 0.597904i | ||||||||
\(680\) | − | 7.46989i | − | 0.286457i | ||||||
\(681\) | −33.1213 | + | 21.6669i | −1.26921 | + | 0.830279i | ||||
\(682\) | 24.4577 | − | 0.0176329i | 0.936534 | − | 0.000675199i | ||||
\(683\) | 11.0546i | 0.422993i | 0.977379 | + | 0.211497i | \(0.0678338\pi\) | ||||
−0.977379 | + | 0.211497i | \(0.932166\pi\) | |||||||
\(684\) | −44.5126 | − | 19.4628i | −1.70198 | − | 0.744177i | ||||
\(685\) | −3.93608 | −0.150390 | ||||||||
\(686\) | 2.72154i | 0.103909i | ||||||||
\(687\) | −7.97016 | + | 5.21384i | −0.304081 | + | 0.198921i | ||||
\(688\) | − | 143.144i | − | 5.45731i | ||||||
\(689\) | −1.81754 | −0.0692429 | ||||||||
\(690\) | 1.09347 | − | 0.715318i | 0.0416278 | − | 0.0272317i | ||||
\(691\) | 32.9085 | 1.25190 | 0.625949 | − | 0.779864i | \(-0.284712\pi\) | ||||
0.625949 | + | 0.779864i | \(0.284712\pi\) | |||||||
\(692\) | 127.094 | 4.83141 | ||||||||
\(693\) | −9.11939 | − | 3.97955i | −0.346417 | − | 0.151171i | ||||
\(694\) | 22.5916 | 0.857566 | ||||||||
\(695\) | −18.7504 | −0.711242 | ||||||||
\(696\) | 104.280 | − | 68.2166i | 3.95271 | − | 2.58574i | ||||
\(697\) | −1.82709 | −0.0692058 | ||||||||
\(698\) | 36.5172i | 1.38220i | ||||||||
\(699\) | −24.1259 | + | 15.7824i | −0.912525 | + | 0.596947i | ||||
\(700\) | − | 5.40675i | − | 0.204356i | ||||||
\(701\) | 14.4987 | 0.547607 | 0.273804 | − | 0.961786i | \(-0.411718\pi\) | ||||
0.273804 | + | 0.961786i | \(0.411718\pi\) | |||||||
\(702\) | 2.39992 | − | 0.404820i | 0.0905792 | − | 0.0152789i | ||||
\(703\) | 3.45133i | 0.130170i | ||||||||
\(704\) | −91.1958 | + | 0.0657481i | −3.43707 | + | 0.00247798i | ||||
\(705\) | −16.3489 | + | 10.6949i | −0.615733 | + | 0.402794i | ||||
\(706\) | 7.59522i | 0.285850i | ||||||||
\(707\) | 0.215897i | 0.00811965i | ||||||||
\(708\) | 28.3097 | + | 43.2758i | 1.06394 | + | 1.62640i | ||||
\(709\) | 1.60433 | 0.0602520 | 0.0301260 | − | 0.999546i | \(-0.490409\pi\) | ||||
0.0301260 | + | 0.999546i | \(0.490409\pi\) | |||||||
\(710\) | −40.4875 | −1.51947 | ||||||||
\(711\) | 9.35276 | + | 4.08942i | 0.350756 | + | 0.153365i | ||||
\(712\) | − | 136.543i | − | 5.11716i | ||||||
\(713\) | − | 0.751093i | − | 0.0281287i | ||||||
\(714\) | 2.07907 | + | 3.17818i | 0.0778074 | + | 0.118941i | ||||
\(715\) | 0.570807 | 0.000411527i | 0.0213470 | 1.53902e-5i | ||||||
\(716\) | 90.4699i | 3.38102i | ||||||||
\(717\) | 14.7128 | − | 9.62470i | 0.549461 | − | 0.359441i | ||||
\(718\) | −34.4248 | −1.28472 | ||||||||
\(719\) | − | 5.47717i | − | 0.204264i | −0.994771 | − | 0.102132i | \(-0.967434\pi\) | ||
0.994771 | − | 0.102132i | \(-0.0325664\pi\) | |||||||
\(720\) | 39.6353 | + | 17.3302i | 1.47712 | + | 0.645859i | ||||
\(721\) | 0.488013i | 0.0181746i | ||||||||
\(722\) | −27.2950 | −1.01582 | ||||||||
\(723\) | 14.1674 | + | 21.6571i | 0.526891 | + | 0.805435i | ||||
\(724\) | 101.583 | 3.77531 | ||||||||
\(725\) | −7.75959 | −0.288184 | ||||||||
\(726\) | 43.3513 | − | 28.4485i | 1.60892 | − | 1.05582i | ||||
\(727\) | 33.8318 | 1.25475 | 0.627376 | − | 0.778716i | \(-0.284129\pi\) | ||||
0.627376 | + | 0.778716i | \(0.284129\pi\) | |||||||
\(728\) | 1.59569 | 0.0591401 | ||||||||
\(729\) | −25.5060 | + | 8.85674i | −0.944668 | + | 0.328027i | ||||
\(730\) | 16.7976 | 0.621706 | ||||||||
\(731\) | − | 7.99803i | − | 0.295818i | ||||||
\(732\) | −21.2887 | − | 32.5430i | −0.786852 | − | 1.20282i | ||||
\(733\) | 4.52984i | 0.167313i | 0.996495 | + | 0.0836567i | \(0.0266599\pi\) | ||||
−0.996495 | + | 0.0836567i | \(0.973340\pi\) | |||||||
\(734\) | −55.8457 | −2.06130 | ||||||||
\(735\) | 0.948193 | + | 1.44946i | 0.0349746 | + | 0.0534641i | ||||
\(736\) | 5.73795i | 0.211504i | ||||||||
\(737\) | 28.8078 | − | 0.0207691i | 1.06115 | − | 0.000765041i | ||||
\(738\) | 7.41768 | − | 16.9647i | 0.273048 | − | 0.624479i | ||||
\(739\) | 24.2918i | 0.893590i | 0.894636 | + | 0.446795i | \(0.147435\pi\) | ||||
−0.894636 | + | 0.446795i | \(0.852565\pi\) | |||||||
\(740\) | − | 6.23031i | − | 0.229031i | ||||||
\(741\) | −0.747159 | + | 0.488769i | −0.0274476 | + | 0.0179554i | ||||
\(742\) | 28.7412 | 1.05512 | ||||||||
\(743\) | −25.4167 | −0.932448 | −0.466224 | − | 0.884667i | \(-0.654386\pi\) | ||||
−0.466224 | + | 0.884667i | \(0.654386\pi\) | |||||||
\(744\) | 36.4138 | − | 23.8208i | 1.33499 | − | 0.873314i | ||||
\(745\) | − | 12.4309i | − | 0.455433i | ||||||
\(746\) | 17.6072i | 0.644644i | ||||||||
\(747\) | 21.8036 | − | 49.8662i | 0.797751 | − | 1.82451i | ||||
\(748\) | −14.4475 | + | 0.0104160i | −0.528252 | + | 0.000380846i | ||||
\(749\) | 13.8525i | 0.506159i | ||||||||
\(750\) | −2.58054 | − | 3.94475i | −0.0942280 | − | 0.144042i | ||||
\(751\) | −50.1560 | −1.83022 | −0.915109 | − | 0.403206i | \(-0.867896\pi\) | ||||
−0.915109 | + | 0.403206i | \(0.867896\pi\) | |||||||
\(752\) | − | 162.641i | − | 5.93092i | ||||||
\(753\) | 20.8627 | + | 31.8919i | 0.760280 | + | 1.16221i | ||||
\(754\) | − | 3.63451i | − | 0.132361i | ||||||
\(755\) | −15.2632 | −0.555485 | ||||||||
\(756\) | −27.7030 | + | 4.67295i | −1.00755 | + | 0.169953i | ||||
\(757\) | −2.78449 | −0.101204 | −0.0506020 | − | 0.998719i | \(-0.516114\pi\) | ||||
−0.0506020 | + | 0.998719i | \(0.516114\pi\) | |||||||
\(758\) | −75.4637 | −2.74097 | ||||||||
\(759\) | −0.872689 | − | 1.33194i | −0.0316766 | − | 0.0483465i | ||||
\(760\) | −27.7695 | −1.00731 | ||||||||
\(761\) | 3.42022 | 0.123983 | 0.0619915 | − | 0.998077i | \(-0.480255\pi\) | ||||
0.0619915 | + | 0.998077i | \(0.480255\pi\) | |||||||
\(762\) | −6.32226 | − | 9.66454i | −0.229031 | − | 0.350109i | ||||
\(763\) | −7.99287 | −0.289361 | ||||||||
\(764\) | 107.749i | 3.89822i | ||||||||
\(765\) | 2.21458 | + | 0.968308i | 0.0800684 | + | 0.0350093i | ||||
\(766\) | − | 39.1795i | − | 1.41561i | ||||||
\(767\) | 0.950376 | 0.0343161 | ||||||||
\(768\) | −52.1750 | + | 34.1313i | −1.88270 | + | 1.23161i | ||||
\(769\) | 17.5485i | 0.632816i | 0.948623 | + | 0.316408i | \(0.102477\pi\) | ||||
−0.948623 | + | 0.316408i | \(0.897523\pi\) | |||||||
\(770\) | −9.02631 | + | 0.00650757i | −0.325286 | + | 0.000234516i | ||||
\(771\) | −3.31232 | − | 5.06339i | −0.119290 | − | 0.182354i | ||||
\(772\) | − | 117.917i | − | 4.24394i | ||||||
\(773\) | − | 1.59689i | − | 0.0574360i | −0.999588 | − | 0.0287180i | \(-0.990858\pi\) | ||
0.999588 | − | 0.0287180i | \(-0.00914249\pi\) | |||||||
\(774\) | 74.2626 | + | 32.4707i | 2.66931 | + | 1.16714i | ||||
\(775\) | −2.70960 | −0.0973318 | ||||||||
\(776\) | −144.451 | −5.18549 | ||||||||
\(777\) | 1.09262 | + | 1.67024i | 0.0391976 | + | 0.0599196i | ||||
\(778\) | − | 49.9742i | − | 1.79166i | ||||||
\(779\) | 6.79224i | 0.243357i | ||||||||
\(780\) | 1.34876 | − | 0.882321i | 0.0482935 | − | 0.0315922i | ||||
\(781\) | 0.0355723 | + | 49.3405i | 0.00127288 | + | 1.76554i | ||||
\(782\) | 0.607801i | 0.0217349i | ||||||||
\(783\) | 6.70646 | + | 39.7584i | 0.239669 | + | 1.42085i | ||||
\(784\) | −14.4195 | −0.514981 | ||||||||
\(785\) | − | 9.24609i | − | 0.330007i | ||||||
\(786\) | 59.5606 | − | 38.9628i | 2.12446 | − | 1.38976i | ||||
\(787\) | 34.2362i | 1.22039i | 0.792252 | + | 0.610194i | \(0.208908\pi\) | ||||
−0.792252 | + | 0.610194i | \(0.791092\pi\) | |||||||
\(788\) | −58.5249 | −2.08486 | ||||||||
\(789\) | 13.4261 | − | 8.78298i | 0.477983 | − | 0.312682i | ||||
\(790\) | 9.26022 | 0.329464 | ||||||||
\(791\) | 11.5739 | 0.411519 | ||||||||
\(792\) | 36.8968 | − | 84.5513i | 1.31107 | − | 3.00440i | ||||
\(793\) | −0.714675 | −0.0253789 | ||||||||
\(794\) | −59.2497 | −2.10269 | ||||||||
\(795\) | 15.3073 | − | 10.0135i | 0.542892 | − | 0.355144i | ||||
\(796\) | −5.89765 | −0.209037 | ||||||||
\(797\) | 44.0963i | 1.56197i | 0.624549 | + | 0.780986i | \(0.285283\pi\) | ||||
−0.624549 | + | 0.780986i | \(0.714717\pi\) | |||||||
\(798\) | 11.8150 | − | 7.72901i | 0.418246 | − | 0.273604i | ||||
\(799\) | − | 9.08742i | − | 0.321490i | ||||||
\(800\) | 20.6999 | 0.731852 | ||||||||
\(801\) | 40.4806 | + | 17.6998i | 1.43031 | + | 0.625392i | ||||
\(802\) | 19.7799i | 0.698454i | ||||||||
\(803\) | −0.0147583 | − | 20.4705i | −0.000520811 | − | 0.722389i | ||||
\(804\) | 68.0700 | − | 44.5294i | 2.40065 | − | 1.57043i | ||||
\(805\) | 0.277197i | 0.00976991i | ||||||||
\(806\) | − | 1.26915i | − | 0.0447039i | ||||||
\(807\) | −20.8782 | − | 31.9155i | −0.734946 | − | 1.12348i | ||||
\(808\) | −2.00171 | −0.0704200 | ||||||||
\(809\) | −8.76247 | −0.308072 | −0.154036 | − | 0.988065i | \(-0.549227\pi\) | ||||
−0.154036 | + | 0.988065i | \(0.549227\pi\) | |||||||
\(810\) | −17.9817 | + | 16.6315i | −0.631812 | + | 0.584370i | ||||
\(811\) | − | 30.8999i | − | 1.08504i | −0.840043 | − | 0.542520i | \(-0.817470\pi\) | ||
0.840043 | − | 0.542520i | \(-0.182530\pi\) | |||||||
\(812\) | 41.9542i | 1.47230i | ||||||||
\(813\) | 20.4458 | + | 31.2546i | 0.717066 | + | 1.09615i | ||||
\(814\) | −10.4012 | + | 0.00749881i | −0.364562 | + | 0.000262833i | ||||
\(815\) | − | 11.9348i | − | 0.418059i | ||||||
\(816\) | −16.8389 | + | 11.0155i | −0.589481 | + | 0.385621i | ||||
\(817\) | −29.7329 | −1.04022 | ||||||||
\(818\) | 69.5346i | 2.43122i | ||||||||
\(819\) | −0.206846 | + | 0.473070i | −0.00722779 | + | 0.0165304i | ||||
\(820\) | − | 12.2613i | − | 0.428183i | ||||||
\(821\) | 50.3975 | 1.75889 | 0.879443 | − | 0.476005i | \(-0.157916\pi\) | ||||
0.879443 | + | 0.476005i | \(0.157916\pi\) | |||||||
\(822\) | 10.1572 | + | 15.5269i | 0.354273 | + | 0.541562i | ||||
\(823\) | 39.5308 | 1.37796 | 0.688978 | − | 0.724782i | \(-0.258060\pi\) | ||||
0.688978 | + | 0.724782i | \(0.258060\pi\) | |||||||
\(824\) | −4.52466 | −0.157624 | ||||||||
\(825\) | −4.80504 | + | 3.14826i | −0.167290 | + | 0.109608i | ||||
\(826\) | −15.0285 | −0.522909 | ||||||||
\(827\) | −28.3617 | −0.986234 | −0.493117 | − | 0.869963i | \(-0.664143\pi\) | ||||
−0.493117 | + | 0.869963i | \(0.664143\pi\) | |||||||
\(828\) | −4.11962 | − | 1.80127i | −0.143167 | − | 0.0625985i | ||||
\(829\) | −33.8527 | −1.17575 | −0.587877 | − | 0.808950i | \(-0.700036\pi\) | ||||
−0.587877 | + | 0.808950i | \(0.700036\pi\) | |||||||
\(830\) | − | 49.3728i | − | 1.71375i | ||||||
\(831\) | −21.9223 | − | 33.5117i | −0.760477 | − | 1.16251i | ||||
\(832\) | 4.73230i | 0.164063i | ||||||||
\(833\) | −0.805674 | −0.0279150 | ||||||||
\(834\) | 48.3861 | + | 73.9655i | 1.67547 | + | 2.56122i | ||||
\(835\) | − | 6.83831i | − | 0.236650i | ||||||
\(836\) | 0.0387217 | + | 53.7089i | 0.00133922 | + | 1.85756i | ||||
\(837\) | 2.34185 | + | 13.8834i | 0.0809463 | + | 0.479880i | ||||
\(838\) | 2.41510i | 0.0834284i | ||||||||
\(839\) | − | 19.2183i | − | 0.663490i | −0.943369 | − | 0.331745i | \(-0.892363\pi\) | ||
0.943369 | − | 0.331745i | \(-0.107637\pi\) | |||||||
\(840\) | −13.4388 | + | 8.79126i | −0.463683 | + | 0.303327i | ||||
\(841\) | 31.2112 | 1.07625 | ||||||||
\(842\) | −52.1704 | −1.79791 | ||||||||
\(843\) | −11.2414 | + | 7.35376i | −0.387173 | + | 0.253277i | ||||
\(844\) | 64.4449i | 2.21828i | ||||||||
\(845\) | 12.9704i | 0.446195i | ||||||||
\(846\) | 84.3777 | + | 36.8935i | 2.90097 | + | 1.26842i | ||||
\(847\) | 0.0158610 | + | 11.0000i | 0.000544991 | + | 0.377964i | ||||
\(848\) | 152.279i | 5.22929i | ||||||||
\(849\) | 18.2396 | + | 27.8821i | 0.625982 | + | 0.956911i | ||||
\(850\) | 2.19267 | 0.0752080 | ||||||||
\(851\) | 0.319420i | 0.0109496i | ||||||||
\(852\) | 76.2677 | + | 116.587i | 2.61289 | + | 3.99420i | ||||
\(853\) | − | 45.2402i | − | 1.54900i | −0.632577 | − | 0.774498i | \(-0.718003\pi\) | ||
0.632577 | − | 0.774498i | \(-0.281997\pi\) | |||||||
\(854\) | 11.3013 | 0.386723 | ||||||||
\(855\) | 3.59971 | − | 8.23277i | 0.123108 | − | 0.281555i | ||||
\(856\) | −128.435 | −4.38981 | ||||||||
\(857\) | 39.4057 | 1.34607 | 0.673037 | − | 0.739609i | \(-0.264990\pi\) | ||||
0.673037 | + | 0.739609i | \(0.264990\pi\) | |||||||
\(858\) | −1.47461 | − | 2.25063i | −0.0503425 | − | 0.0768353i | ||||
\(859\) | −0.570560 | −0.0194673 | −0.00973363 | − | 0.999953i | \(-0.503098\pi\) | ||||
−0.00973363 | + | 0.999953i | \(0.503098\pi\) | |||||||
\(860\) | 53.6735 | 1.83025 | ||||||||
\(861\) | 2.15029 | + | 3.28704i | 0.0732816 | + | 0.112022i | ||||
\(862\) | −78.3035 | −2.66703 | ||||||||
\(863\) | 37.9106i | 1.29049i | 0.763975 | + | 0.645246i | \(0.223245\pi\) | ||||
−0.763975 | + | 0.645246i | \(0.776755\pi\) | |||||||
\(864\) | −17.8905 | − | 106.062i | −0.608648 | − | 3.60829i | ||||
\(865\) | 23.5066i | 0.799249i | ||||||||
\(866\) | −16.3872 | −0.556861 | ||||||||
\(867\) | 23.6999 | − | 15.5038i | 0.804892 | − | 0.526536i | ||||
\(868\) | 14.6501i | 0.497258i | ||||||||
\(869\) | −0.00813602 | − | 11.2851i | −0.000275996 | − | 0.382819i | ||||
\(870\) | 20.0239 | + | 30.6097i | 0.678875 | + | 1.03776i | ||||
\(871\) | − | 1.49488i | − | 0.0506521i | ||||||
\(872\) | − | 74.1067i | − | 2.50957i | ||||||
\(873\) | 18.7249 | − | 42.8251i | 0.633743 | − | 1.44941i | ||||
\(874\) | 2.25952 | 0.0764293 | ||||||||
\(875\) | 1.00000 | 0.0338062 | ||||||||
\(876\) | −31.6421 | − | 48.3699i | −1.06909 | − | 1.63427i | ||||
\(877\) | 37.1560i | 1.25467i | 0.778750 | + | 0.627335i | \(0.215854\pi\) | ||||
−0.778750 | + | 0.627335i | \(0.784146\pi\) | |||||||
\(878\) | − | 31.1027i | − | 1.04967i | ||||||
\(879\) | −2.69715 | + | 1.76440i | −0.0909726 | + | 0.0595116i | ||||
\(880\) | −0.0344790 | − | 47.8240i | −0.00116229 | − | 1.61215i | ||||
\(881\) | − | 47.0403i | − | 1.58483i | −0.609983 | − | 0.792414i | \(-0.708824\pi\) | ||
0.609983 | − | 0.792414i | \(-0.291176\pi\) | |||||||
\(882\) | 3.27091 | − | 7.48077i | 0.110137 | − | 0.251891i | ||||
\(883\) | −32.0167 | −1.07745 | −0.538724 | − | 0.842482i | \(-0.681093\pi\) | ||||
−0.538724 | + | 0.842482i | \(0.681093\pi\) | |||||||
\(884\) | 0.749703i | 0.0252152i | ||||||||
\(885\) | −8.00402 | + | 5.23599i | −0.269052 | + | 0.176006i | ||||
\(886\) | 37.9671i | 1.27553i | ||||||||
\(887\) | 23.7893 | 0.798767 | 0.399384 | − | 0.916784i | \(-0.369224\pi\) | ||||
0.399384 | + | 0.916784i | \(0.369224\pi\) | |||||||
\(888\) | −15.4858 | + | 10.1304i | −0.519670 | + | 0.339952i | ||||
\(889\) | 2.44997 | 0.0821695 | ||||||||
\(890\) | 40.0800 | 1.34349 | ||||||||
\(891\) | 20.2839 | + | 21.8990i | 0.679536 | + | 0.733642i | ||||
\(892\) | 64.4203 | 2.15695 | ||||||||
\(893\) | −33.7827 | −1.13050 | ||||||||
\(894\) | −49.0368 | + | 32.0784i | −1.64004 | + | 1.07286i | ||||
\(895\) | −16.7328 | −0.559314 | ||||||||
\(896\) | − | 33.4331i | − | 1.11692i | ||||||
\(897\) | −0.0691493 | + | 0.0452354i | −0.00230883 | + | 0.00151037i | ||||
\(898\) | 55.3080i | 1.84565i | ||||||||
\(899\) | 21.0254 | 0.701236 | ||||||||
\(900\) | −6.49817 | + | 14.8617i | −0.216606 | + | 0.495391i | ||||
\(901\) | 8.50846i | 0.283458i | ||||||||
\(902\) | −20.4696 | + | 0.0147577i | −0.681564 | + | 0.000491377i | ||||
\(903\) | −14.3890 | + | 9.41283i | −0.478835 | + | 0.313239i | ||||
\(904\) | 107.308i | 3.56902i | ||||||||
\(905\) | 18.7882i | 0.624541i | ||||||||
\(906\) | 39.3873 | + | 60.2095i | 1.30855 | + | 2.00033i | ||||
\(907\) | 37.6602 | 1.25049 | 0.625244 | − | 0.780430i | \(-0.285000\pi\) | ||||
0.625244 | + | 0.780430i | \(0.285000\pi\) | |||||||
\(908\) | 123.549 | 4.10010 | ||||||||
\(909\) | 0.259479 | − | 0.593444i | 0.00860636 | − | 0.0196833i | ||||
\(910\) | 0.468390i | 0.0155270i | ||||||||
\(911\) | − | 11.4298i | − | 0.378687i | −0.981911 | − | 0.189343i | \(-0.939364\pi\) | ||
0.981911 | − | 0.189343i | \(-0.0606359\pi\) | |||||||
\(912\) | 40.9505 | + | 62.5992i | 1.35601 | + | 2.07287i | ||||
\(913\) | −60.1686 | + | 0.0433789i | −1.99129 | + | 0.00143563i | ||||
\(914\) | 54.0304i | 1.78717i | ||||||||
\(915\) | 6.01896 | − | 3.93742i | 0.198981 | − | 0.130167i | ||||
\(916\) | 29.7302 | 0.982314 | ||||||||
\(917\) | 15.0987i | 0.498603i | ||||||||
\(918\) | −1.89508 | − | 11.2347i | −0.0625470 | − | 0.370802i | ||||
\(919\) | − | 27.9845i | − | 0.923123i | −0.887108 | − | 0.461561i | \(-0.847289\pi\) | ||
0.887108 | − | 0.461561i | \(-0.152711\pi\) | |||||||
\(920\) | −2.57006 | −0.0847323 | ||||||||
\(921\) | −2.43293 | − | 3.71912i | −0.0801679 | − | 0.122549i | ||||
\(922\) | 39.5091 | 1.30116 | ||||||||
\(923\) | 2.56036 | 0.0842752 | ||||||||
\(924\) | 17.0219 | + | 25.9797i | 0.559979 | + | 0.854669i | ||||
\(925\) | 1.15232 | 0.0378881 | ||||||||
\(926\) | 22.5443 | 0.740852 | ||||||||
\(927\) | 0.586524 | − | 1.34142i | 0.0192640 | − | 0.0440579i | ||||
\(928\) | −160.623 | −5.27270 | ||||||||
\(929\) | − | 20.1572i | − | 0.661337i | −0.943747 | − | 0.330668i | \(-0.892726\pi\) | ||
0.943747 | − | 0.330668i | \(-0.107274\pi\) | |||||||
\(930\) | 6.99224 | + | 10.6887i | 0.229284 | + | 0.350497i | ||||
\(931\) | 2.99512i | 0.0981609i | ||||||||
\(932\) | 89.9941 | 2.94786 | ||||||||
\(933\) | 10.2534 | + | 15.6739i | 0.335682 | + | 0.513141i | ||||
\(934\) | 100.192i | 3.27839i | ||||||||
\(935\) | −0.00192648 | − | 2.67212i | −6.30026e−5 | − | 0.0873876i | ||||
\(936\) | −4.38612 | − | 1.91780i | −0.143365 | − | 0.0626851i | ||||
\(937\) | − | 7.22869i | − | 0.236151i | −0.993005 | − | 0.118076i | \(-0.962328\pi\) | ||
0.993005 | − | 0.118076i | \(-0.0376725\pi\) | |||||||
\(938\) | 23.6389i | 0.771838i | ||||||||
\(939\) | −3.94750 | + | 2.58233i | −0.128822 | + | 0.0842713i | ||||
\(940\) | 60.9843 | 1.98909 | ||||||||
\(941\) | −17.3978 | −0.567153 | −0.283577 | − | 0.958950i | \(-0.591521\pi\) | ||||
−0.283577 | + | 0.958950i | \(0.591521\pi\) | |||||||
\(942\) | −36.4735 | + | 23.8599i | −1.18837 | + | 0.777397i | ||||
\(943\) | 0.628620i | 0.0204707i | ||||||||
\(944\) | − | 79.6254i | − | 2.59159i | ||||||
\(945\) | −0.864280 | − | 5.12377i | −0.0281150 | − | 0.166676i | ||||
\(946\) | −0.0646015 | − | 89.6053i | −0.00210038 | − | 2.91332i | ||||
\(947\) | 1.01917i | 0.0331185i | 0.999863 | + | 0.0165593i | \(0.00527122\pi\) | ||||
−0.999863 | + | 0.0165593i | \(0.994729\pi\) | |||||||
\(948\) | −17.4438 | − | 26.6655i | −0.566548 | − | 0.866055i | ||||
\(949\) | −1.06225 | −0.0344820 | ||||||||
\(950\) | − | 8.15131i | − | 0.264463i | ||||||
\(951\) | −32.6312 | − | 49.8819i | −1.05814 | − | 1.61753i | ||||
\(952\) | − | 7.46989i | − | 0.242100i | ||||||
\(953\) | 17.8608 | 0.578569 | 0.289285 | − | 0.957243i | \(-0.406583\pi\) | ||||
0.289285 | + | 0.957243i | \(0.406583\pi\) | |||||||
\(954\) | −79.0020 | − | 34.5430i | −2.55778 | − | 1.11837i | ||||
\(955\) | −19.9286 | −0.644874 | ||||||||
\(956\) | −54.8817 | −1.77500 | ||||||||
\(957\) | 37.2852 | − | 24.4292i | 1.20526 | − | 0.789685i | ||||
\(958\) | 108.357 | 3.50085 | ||||||||
\(959\) | −3.93608 | −0.127103 | ||||||||
\(960\) | −26.0721 | − | 39.8552i | −0.841472 | − | 1.28632i | ||||
\(961\) | −23.6581 | −0.763163 | ||||||||
\(962\) | 0.539735i | 0.0174018i | ||||||||
\(963\) | 16.6488 | − | 38.0768i | 0.536499 | − | 1.22701i | ||||
\(964\) | − | 80.7849i | − | 2.60191i | ||||||
\(965\) | 21.8093 | 0.702065 | ||||||||
\(966\) | 1.09347 | − | 0.715318i | 0.0351819 | − | 0.0230150i | ||||
\(967\) | − | 40.5262i | − | 1.30323i | −0.758548 | − | 0.651617i | \(-0.774091\pi\) | ||
0.758548 | − | 0.651617i | \(-0.225909\pi\) | |||||||
\(968\) | −101.987 | + | 0.147057i | −3.27800 | + | 0.00472659i | ||||
\(969\) | 2.28807 | + | 3.49767i | 0.0735034 | + | 0.112361i | ||||
\(970\) | − | 42.4014i | − | 1.36143i | ||||||
\(971\) | − | 13.4067i | − | 0.430241i | −0.976588 | − | 0.215120i | \(-0.930986\pi\) | ||
0.976588 | − | 0.215120i | \(-0.0690144\pi\) | |||||||
\(972\) | 81.7643 | + | 20.4504i | 2.62259 | + | 0.655948i | ||||
\(973\) | −18.7504 | −0.601109 | ||||||||
\(974\) | 69.7413 | 2.23465 | ||||||||
\(975\) | 0.163189 | + | 0.249459i | 0.00522622 | + | 0.00798908i | ||||
\(976\) | 59.8777i | 1.91664i | ||||||||
\(977\) | 26.3879i | 0.844225i | 0.906544 | + | 0.422112i | \(0.138711\pi\) | ||||
−0.906544 | + | 0.422112i | \(0.861289\pi\) | |||||||
\(978\) | −47.0800 | + | 30.7983i | −1.50545 | + | 0.984821i | ||||
\(979\) | −0.0352143 | − | 48.8439i | −0.00112545 | − | 1.56106i | ||||
\(980\) | − | 5.40675i | − | 0.172712i | ||||||
\(981\) | 21.9703 | + | 9.60632i | 0.701456 | + | 0.306706i | ||||
\(982\) | 13.2908 | 0.424126 | ||||||||
\(983\) | 19.6862i | 0.627893i | 0.949441 | + | 0.313947i | \(0.101651\pi\) | ||||
−0.949441 | + | 0.313947i | \(0.898349\pi\) | |||||||
\(984\) | −30.4762 | + | 19.9366i | −0.971544 | + | 0.635555i | ||||
\(985\) | − | 10.8244i | − | 0.344894i | ||||||
\(986\) | −17.0142 | −0.541843 | ||||||||
\(987\) | −16.3489 | + | 10.6949i | −0.520390 | + | 0.340423i | ||||
\(988\) | 2.78704 | 0.0886676 | ||||||||
\(989\) | −2.75177 | −0.0875012 | ||||||||
\(990\) | 24.8187 | + | 10.8305i | 0.788791 | + | 0.344215i | ||||
\(991\) | −39.8882 | −1.26709 | −0.633546 | − | 0.773705i | \(-0.718401\pi\) | ||||
−0.633546 | + | 0.773705i | \(0.718401\pi\) | |||||||
\(992\) | −56.0885 | −1.78081 | ||||||||
\(993\) | 4.23903 | − | 2.77305i | 0.134522 | − | 0.0880001i | ||||
\(994\) | −40.4875 | −1.28419 | ||||||||
\(995\) | − | 1.09079i | − | 0.0345805i | ||||||
\(996\) | −142.173 | + | 93.0051i | −4.50491 | + | 2.94698i | ||||
\(997\) | − | 19.5278i | − | 0.618453i | −0.950988 | − | 0.309226i | \(-0.899930\pi\) | ||
0.950988 | − | 0.309226i | \(-0.100070\pi\) | |||||||
\(998\) | −53.4568 | −1.69214 | ||||||||
\(999\) | −0.995927 | − | 5.90423i | −0.0315097 | − | 0.186801i |
(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 | 1155.2.l.f.1121.2 | yes | 40 | |
3.2 | odd | 2 | 1155.2.l.e.1121.39 | ✓ | 40 | ||
11.10 | odd | 2 | 1155.2.l.e.1121.40 | yes | 40 | ||
33.32 | even | 2 | inner | 1155.2.l.f.1121.1 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1155.2.l.e.1121.39 | ✓ | 40 | 3.2 | odd | 2 | ||
1155.2.l.e.1121.40 | yes | 40 | 11.10 | odd | 2 | ||
1155.2.l.f.1121.1 | yes | 40 | 33.32 | even | 2 | inner | |
1155.2.l.f.1121.2 | yes | 40 | 1.1 | even | 1 | trivial |