Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [700,2,Mod(199,700)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(700, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("700.199");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 700 = 2^{2} \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 700.t (of order \(6\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.58952814149\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | no (minimal twist has level 140) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 299.2 | ||
Character | \(\chi\) | \(=\) | 700.299 |
Dual form | 700.2.t.c.199.2 |
$q$-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 \(\left(\mathbb{Z}/700\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(351\) | \(477\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.32225 | − | 0.501653i | −0.934972 | − | 0.354722i | ||||
\(3\) | −1.55083 | + | 0.895374i | −0.895374 | + | 0.516944i | −0.875696 | − | 0.482862i | \(-0.839597\pi\) |
−0.0196774 | + | 0.999806i | \(0.506264\pi\) | |||||||
\(4\) | 1.49669 | + | 1.32662i | 0.748344 | + | 0.663311i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 2.49976 | − | 0.405928i | 1.02052 | − | 0.165719i | ||||
\(7\) | 2.56598 | − | 0.644798i | 0.969848 | − | 0.243711i | ||||
\(8\) | −1.31349 | − | 2.50494i | −0.464389 | − | 0.885631i | ||||
\(9\) | 0.103389 | − | 0.179074i | 0.0344628 | − | 0.0596914i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.66757 | − | 2.11747i | 1.10581 | − | 0.638442i | 0.168072 | − | 0.985775i | \(-0.446246\pi\) |
0.937742 | + | 0.347333i | \(0.112913\pi\) | |||||||
\(12\) | −3.50894 | − | 0.717273i | −1.01294 | − | 0.207059i | ||||
\(13\) | −2.98261 | −0.827227 | −0.413613 | − | 0.910453i | \(-0.635733\pi\) | ||||
−0.413613 | + | 0.910453i | \(0.635733\pi\) | |||||||
\(14\) | −3.71633 | − | 0.434646i | −0.993230 | − | 0.116164i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.480152 | + | 3.97108i | 0.120038 | + | 0.992769i | ||||
\(17\) | −1.10901 | − | 1.92087i | −0.268976 | − | 0.465879i | 0.699622 | − | 0.714513i | \(-0.253352\pi\) |
−0.968598 | + | 0.248634i | \(0.920018\pi\) | |||||||
\(18\) | −0.226539 | + | 0.184916i | −0.0533957 | + | 0.0435850i | ||||
\(19\) | 2.28341 | − | 3.95499i | 0.523851 | − | 0.907336i | −0.475764 | − | 0.879573i | \(-0.657828\pi\) |
0.999615 | − | 0.0277631i | \(-0.00883842\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −3.40207 | + | 3.29748i | −0.742391 | + | 0.719570i | ||||
\(22\) | −5.91168 | + | 0.959979i | −1.26037 | + | 0.204668i | ||||
\(23\) | −1.02992 | + | 1.78388i | −0.214754 | + | 0.371965i | −0.953196 | − | 0.302352i | \(-0.902228\pi\) |
0.738443 | + | 0.674316i | \(0.235562\pi\) | |||||||
\(24\) | 4.27987 | + | 2.70868i | 0.873624 | + | 0.552907i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 3.94375 | + | 1.49624i | 0.773434 | + | 0.293436i | ||||
\(27\) | − | 5.00196i | − | 0.962627i | ||||||
\(28\) | 4.69587 | + | 2.43902i | 0.887436 | + | 0.460931i | ||||
\(29\) | −6.42784 | −1.19362 | −0.596810 | − | 0.802383i | \(-0.703565\pi\) | ||||
−0.596810 | + | 0.802383i | \(0.703565\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.20072 | + | 2.07971i | 0.215656 | + | 0.373527i | 0.953475 | − | 0.301471i | \(-0.0974777\pi\) |
−0.737819 | + | 0.674998i | \(0.764144\pi\) | |||||||
\(32\) | 1.35722 | − | 5.49163i | 0.239925 | − | 0.970791i | ||||
\(33\) | −3.79186 | + | 6.56769i | −0.660078 | + | 1.14329i | ||||
\(34\) | 0.502784 | + | 3.09621i | 0.0862267 | + | 0.530996i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0.392304 | − | 0.130861i | 0.0653840 | − | 0.0218101i | ||||
\(37\) | 3.74511 | + | 2.16224i | 0.615692 | + | 0.355470i | 0.775190 | − | 0.631728i | \(-0.217654\pi\) |
−0.159498 | + | 0.987198i | \(0.550987\pi\) | |||||||
\(38\) | −5.00327 | + | 4.08400i | −0.811638 | + | 0.662512i | ||||
\(39\) | 4.62553 | − | 2.67055i | 0.740677 | − | 0.427630i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | − | 4.88552i | − | 0.762990i | −0.924371 | − | 0.381495i | \(-0.875409\pi\) | ||
0.924371 | − | 0.381495i | \(-0.124591\pi\) | |||||||
\(42\) | 6.15257 | − | 2.65344i | 0.949362 | − | 0.409435i | ||||
\(43\) | 12.3733 | 1.88692 | 0.943459 | − | 0.331490i | \(-0.107551\pi\) | ||||
0.943459 | + | 0.331490i | \(0.107551\pi\) | |||||||
\(44\) | 8.29829 | + | 1.69628i | 1.25101 | + | 0.255724i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.25671 | − | 1.84207i | 0.332733 | − | 0.271598i | ||||
\(47\) | 5.85833 | + | 3.38231i | 0.854525 | + | 0.493360i | 0.862175 | − | 0.506610i | \(-0.169102\pi\) |
−0.00764982 | + | 0.999971i | \(0.502435\pi\) | |||||||
\(48\) | −4.30023 | − | 5.72856i | −0.620685 | − | 0.826847i | ||||
\(49\) | 6.16847 | − | 3.30908i | 0.881210 | − | 0.472725i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 3.43979 | + | 1.98597i | 0.481667 | + | 0.278091i | ||||
\(52\) | −4.46404 | − | 3.95679i | −0.619050 | − | 0.548708i | ||||
\(53\) | 11.1174 | − | 6.41865i | 1.52710 | − | 0.881670i | 0.527615 | − | 0.849484i | \(-0.323086\pi\) |
0.999482 | − | 0.0321861i | \(-0.0102469\pi\) | |||||||
\(54\) | −2.50925 | + | 6.61384i | −0.341465 | + | 0.900029i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −4.98557 | − | 5.58069i | −0.666225 | − | 0.745751i | ||||
\(57\) | 8.17803i | 1.08321i | ||||||||
\(58\) | 8.49921 | + | 3.22455i | 1.11600 | + | 0.423404i | ||||
\(59\) | −6.99014 | − | 12.1073i | −0.910039 | − | 1.57623i | −0.814006 | − | 0.580856i | \(-0.802718\pi\) |
−0.0960332 | − | 0.995378i | \(-0.530615\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.0195769 | + | 0.0113027i | 0.00250657 | + | 0.00144717i | 0.501253 | − | 0.865301i | \(-0.332873\pi\) |
−0.498746 | + | 0.866748i | \(0.666206\pi\) | |||||||
\(62\) | −0.544360 | − | 3.35224i | −0.0691338 | − | 0.425735i | ||||
\(63\) | 0.149826 | − | 0.526165i | 0.0188763 | − | 0.0662905i | ||||
\(64\) | −4.54948 | + | 6.58044i | −0.568685 | + | 0.822556i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 8.30848 | − | 6.78193i | 1.02270 | − | 0.834798i | ||||
\(67\) | 2.53010 | + | 4.38227i | 0.309101 | + | 0.535379i | 0.978166 | − | 0.207825i | \(-0.0666384\pi\) |
−0.669065 | + | 0.743204i | \(0.733305\pi\) | |||||||
\(68\) | 0.888418 | − | 4.34619i | 0.107736 | − | 0.527052i | ||||
\(69\) | − | 3.68867i | − | 0.444063i | ||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 4.07391i | − | 0.483485i | −0.970340 | − | 0.241742i | \(-0.922281\pi\) | ||
0.970340 | − | 0.241742i | \(-0.0777189\pi\) | |||||||
\(72\) | −0.584371 | − | 0.0237699i | −0.0688687 | − | 0.00280131i | ||||
\(73\) | 1.66682 | + | 2.88701i | 0.195086 | + | 0.337899i | 0.946929 | − | 0.321443i | \(-0.104168\pi\) |
−0.751843 | + | 0.659343i | \(0.770835\pi\) | |||||||
\(74\) | −3.86728 | − | 4.73777i | −0.449562 | − | 0.550754i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 8.66433 | − | 2.89016i | 0.993867 | − | 0.331524i | ||||
\(77\) | 8.04555 | − | 7.79822i | 0.916876 | − | 0.888690i | ||||
\(78\) | −7.45579 | + | 1.21072i | −0.844202 | + | 0.137087i | ||||
\(79\) | 3.14131 | + | 1.81364i | 0.353425 | + | 0.204050i | 0.666193 | − | 0.745780i | \(-0.267923\pi\) |
−0.312768 | + | 0.949830i | \(0.601256\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 4.78879 | + | 8.29442i | 0.532087 | + | 0.921603i | ||||
\(82\) | −2.45084 | + | 6.45988i | −0.270650 | + | 0.713374i | ||||
\(83\) | − | 11.7373i | − | 1.28834i | −0.764884 | − | 0.644168i | \(-0.777204\pi\) | ||
0.764884 | − | 0.644168i | \(-0.222796\pi\) | |||||||
\(84\) | −9.46634 | + | 0.422052i | −1.03286 | + | 0.0460496i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −16.3606 | − | 6.20713i | −1.76421 | − | 0.669332i | ||||
\(87\) | 9.96851 | − | 5.75532i | 1.06874 | − | 0.617035i | ||||
\(88\) | −10.1215 | − | 6.40577i | −1.07895 | − | 0.682857i | ||||
\(89\) | 14.4625 | + | 8.34991i | 1.53302 | + | 0.885089i | 0.999220 | + | 0.0394771i | \(0.0125692\pi\) |
0.533798 | + | 0.845612i | \(0.320764\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −7.65330 | + | 1.92318i | −0.802284 | + | 0.201604i | ||||
\(92\) | −3.90801 | + | 1.30359i | −0.407438 | + | 0.135909i | ||||
\(93\) | −3.72424 | − | 2.15019i | −0.386185 | − | 0.222964i | ||||
\(94\) | −6.04943 | − | 7.41111i | −0.623951 | − | 0.764397i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 2.81223 | + | 9.73181i | 0.287022 | + | 0.993249i | ||||
\(97\) | −12.0198 | −1.22042 | −0.610211 | − | 0.792239i | \(-0.708916\pi\) | ||||
−0.610211 | + | 0.792239i | \(0.708916\pi\) | |||||||
\(98\) | −9.81627 | + | 1.28099i | −0.991593 | + | 0.129400i | ||||
\(99\) | − | 0.875689i | − | 0.0880100i | ||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 6.06956 | − | 3.50426i | 0.603943 | − | 0.348687i | −0.166648 | − | 0.986016i | \(-0.553294\pi\) |
0.770591 | + | 0.637330i | \(0.219961\pi\) | |||||||
\(102\) | −3.55200 | − | 4.35152i | −0.351700 | − | 0.430865i | ||||
\(103\) | 1.78406 | + | 1.03003i | 0.175789 | + | 0.101492i | 0.585313 | − | 0.810808i | \(-0.300972\pi\) |
−0.409524 | + | 0.912299i | \(0.634305\pi\) | |||||||
\(104\) | 3.91763 | + | 7.47126i | 0.384155 | + | 0.732618i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −17.9200 | + | 2.90997i | −1.74054 | + | 0.282641i | ||||
\(107\) | −2.26529 | + | 3.92360i | −0.218994 | + | 0.379309i | −0.954501 | − | 0.298209i | \(-0.903611\pi\) |
0.735507 | + | 0.677517i | \(0.236944\pi\) | |||||||
\(108\) | 6.63570 | − | 7.48637i | 0.638521 | − | 0.720376i | ||||
\(109\) | 5.97295 | + | 10.3454i | 0.572105 | + | 0.990914i | 0.996350 | + | 0.0853668i | \(0.0272062\pi\) |
−0.424245 | + | 0.905547i | \(0.639460\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −7.74405 | −0.735033 | ||||||||
\(112\) | 3.79260 | + | 9.88009i | 0.358367 | + | 0.933581i | ||||
\(113\) | − | 1.40568i | − | 0.132235i | −0.997812 | − | 0.0661177i | \(-0.978939\pi\) | ||
0.997812 | − | 0.0661177i | \(-0.0210613\pi\) | |||||||
\(114\) | 4.10254 | − | 10.8134i | 0.384238 | − | 1.01277i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −9.62047 | − | 8.52731i | −0.893238 | − | 0.791741i | ||||
\(117\) | −0.308368 | + | 0.534108i | −0.0285086 | + | 0.0493783i | ||||
\(118\) | 3.16906 | + | 19.5155i | 0.291735 | + | 1.79655i | ||||
\(119\) | −4.08428 | − | 4.21382i | −0.374405 | − | 0.386280i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.46737 | − | 6.00566i | 0.315215 | − | 0.545969i | ||||
\(122\) | −0.0202155 | − | 0.0247659i | −0.00183023 | − | 0.00224220i | ||||
\(123\) | 4.37437 | + | 7.57663i | 0.394423 | + | 0.683161i | ||||
\(124\) | −0.961882 | + | 4.70558i | −0.0863796 | + | 0.422574i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −0.462059 | + | 0.620561i | −0.0411635 | + | 0.0552839i | ||||
\(127\) | 14.8435 | 1.31715 | 0.658573 | − | 0.752517i | \(-0.271161\pi\) | ||||
0.658573 | + | 0.752517i | \(0.271161\pi\) | |||||||
\(128\) | 9.31665 | − | 6.41873i | 0.823483 | − | 0.567341i | ||||
\(129\) | −19.1890 | + | 11.0788i | −1.68950 | + | 0.975431i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −1.49660 | + | 2.59219i | −0.130759 | + | 0.226480i | −0.923969 | − | 0.382467i | \(-0.875075\pi\) |
0.793211 | + | 0.608947i | \(0.208408\pi\) | |||||||
\(132\) | −14.3881 | + | 4.79942i | −1.25232 | + | 0.417736i | ||||
\(133\) | 3.30901 | − | 11.6207i | 0.286928 | − | 1.00765i | ||||
\(134\) | −1.14705 | − | 7.06369i | −0.0990901 | − | 0.610210i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.35499 | + | 5.30106i | −0.287688 | + | 0.454563i | ||||
\(137\) | −13.1076 | + | 7.56769i | −1.11986 | + | 0.646551i | −0.941365 | − | 0.337390i | \(-0.890456\pi\) |
−0.178495 | + | 0.983941i | \(0.557123\pi\) | |||||||
\(138\) | −1.85043 | + | 4.87734i | −0.157519 | + | 0.415187i | ||||
\(139\) | 6.82740 | 0.579093 | 0.289546 | − | 0.957164i | \(-0.406496\pi\) | ||||
0.289546 | + | 0.957164i | \(0.406496\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −12.1137 | −1.02016 | ||||||||
\(142\) | −2.04369 | + | 5.38673i | −0.171503 | + | 0.452044i | ||||
\(143\) | −10.9389 | + | 6.31559i | −0.914758 | + | 0.528136i | ||||
\(144\) | 0.760760 | + | 0.324581i | 0.0633966 | + | 0.0270484i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −0.755670 | − | 4.65351i | −0.0625397 | − | 0.385128i | ||||
\(147\) | −6.60341 | + | 10.6549i | −0.544640 | + | 0.878802i | ||||
\(148\) | 2.73679 | + | 8.20454i | 0.224963 | + | 0.674409i | ||||
\(149\) | 7.41324 | − | 12.8401i | 0.607316 | − | 1.05190i | −0.384365 | − | 0.923181i | \(-0.625580\pi\) |
0.991681 | − | 0.128721i | \(-0.0410871\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −11.0583 | + | 6.38449i | −0.899909 | + | 0.519563i | −0.877171 | − | 0.480179i | \(-0.840572\pi\) |
−0.0227383 | + | 0.999741i | \(0.507238\pi\) | |||||||
\(152\) | −12.9063 | − | 0.524976i | −1.04684 | − | 0.0425812i | ||||
\(153\) | −0.458638 | −0.0370786 | ||||||||
\(154\) | −14.5502 | + | 6.27512i | −1.17249 | + | 0.505664i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 10.4658 | + | 2.13934i | 0.837933 | + | 0.171285i | ||||
\(157\) | −6.03430 | − | 10.4517i | −0.481589 | − | 0.834137i | 0.518187 | − | 0.855267i | \(-0.326607\pi\) |
−0.999777 | + | 0.0211298i | \(0.993274\pi\) | |||||||
\(158\) | −3.24378 | − | 3.97393i | −0.258061 | − | 0.316149i | ||||
\(159\) | −11.4942 | + | 19.9085i | −0.911548 | + | 1.57885i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −1.49252 | + | 5.24149i | −0.117627 | + | 0.413087i | ||||
\(162\) | −2.17105 | − | 13.3696i | −0.170574 | − | 1.05042i | ||||
\(163\) | −1.96460 | + | 3.40279i | −0.153879 | + | 0.266527i | −0.932650 | − | 0.360781i | \(-0.882510\pi\) |
0.778771 | + | 0.627308i | \(0.215843\pi\) | |||||||
\(164\) | 6.48124 | − | 7.31210i | 0.506099 | − | 0.570979i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −5.88806 | + | 15.5196i | −0.457002 | + | 1.20456i | ||||
\(167\) | 3.08397i | 0.238645i | 0.992856 | + | 0.119323i | \(0.0380722\pi\) | ||||
−0.992856 | + | 0.119323i | \(0.961928\pi\) | |||||||
\(168\) | 12.7286 | + | 4.19076i | 0.982032 | + | 0.323324i | ||||
\(169\) | −4.10404 | −0.315696 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.472157 | − | 0.817801i | −0.0361068 | − | 0.0625388i | ||||
\(172\) | 18.5190 | + | 16.4147i | 1.41206 | + | 1.25161i | ||||
\(173\) | −5.81013 | + | 10.0634i | −0.441736 | + | 0.765109i | −0.997818 | − | 0.0660179i | \(-0.978971\pi\) |
0.556082 | + | 0.831127i | \(0.312304\pi\) | |||||||
\(174\) | −16.0680 | + | 2.60924i | −1.21811 | + | 0.197806i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 10.1696 | + | 13.5475i | 0.766565 | + | 1.02118i | ||||
\(177\) | 21.6811 | + | 12.5176i | 1.62965 | + | 0.940879i | ||||
\(178\) | −14.9342 | − | 18.2958i | −1.11937 | − | 1.37133i | ||||
\(179\) | −5.05528 | + | 2.91866i | −0.377849 | + | 0.218151i | −0.676882 | − | 0.736092i | \(-0.736669\pi\) |
0.299033 | + | 0.954243i | \(0.403336\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 9.78262i | − | 0.727136i | −0.931568 | − | 0.363568i | \(-0.881558\pi\) | ||
0.931568 | − | 0.363568i | \(-0.118442\pi\) | |||||||
\(182\) | 11.0843 | + | 1.29638i | 0.821627 | + | 0.0960939i | ||||
\(183\) | −0.0404807 | −0.00299242 | ||||||||
\(184\) | 5.82131 | + | 0.236788i | 0.429153 | + | 0.0174562i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 3.84572 | + | 4.71136i | 0.281982 | + | 0.345454i | ||||
\(187\) | −8.13477 | − | 4.69661i | −0.594873 | − | 0.343450i | ||||
\(188\) | 4.28105 | + | 12.8340i | 0.312228 | + | 0.936019i | ||||
\(189\) | −3.22525 | − | 12.8349i | −0.234603 | − | 0.933602i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 13.6837 | + | 7.90026i | 0.990115 | + | 0.571643i | 0.905309 | − | 0.424755i | \(-0.139640\pi\) |
0.0848061 | + | 0.996397i | \(0.472973\pi\) | |||||||
\(192\) | 1.16352 | − | 14.2787i | 0.0839701 | − | 1.03047i | ||||
\(193\) | −3.65822 | + | 2.11208i | −0.263325 | + | 0.152031i | −0.625850 | − | 0.779943i | \(-0.715248\pi\) |
0.362526 | + | 0.931974i | \(0.381915\pi\) | |||||||
\(194\) | 15.8931 | + | 6.02976i | 1.14106 | + | 0.432911i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 13.6222 | + | 3.23057i | 0.973012 | + | 0.230755i | ||||
\(197\) | − | 9.28951i | − | 0.661850i | −0.943657 | − | 0.330925i | \(-0.892639\pi\) | ||
0.943657 | − | 0.330925i | \(-0.107361\pi\) | |||||||
\(198\) | −0.439292 | + | 1.15788i | −0.0312191 | + | 0.0822869i | ||||
\(199\) | 7.52975 | + | 13.0419i | 0.533770 | + | 0.924517i | 0.999222 | + | 0.0394437i | \(0.0125586\pi\) |
−0.465452 | + | 0.885073i | \(0.654108\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −7.84754 | − | 4.53078i | −0.553523 | − | 0.319576i | ||||
\(202\) | −9.78339 | + | 1.58869i | −0.688357 | + | 0.111780i | ||||
\(203\) | −16.4937 | + | 4.14466i | −1.15763 | + | 0.290898i | ||||
\(204\) | 2.51367 | + | 7.53567i | 0.175992 | + | 0.527603i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −1.84226 | − | 2.25693i | −0.128356 | − | 0.157248i | ||||
\(207\) | 0.212965 | + | 0.368865i | 0.0148021 | + | 0.0256379i | ||||
\(208\) | −1.43210 | − | 11.8442i | −0.0992986 | − | 0.821245i | ||||
\(209\) | − | 19.3402i | − | 1.33779i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 22.9573i | − | 1.58045i | −0.612818 | − | 0.790224i | \(-0.709964\pi\) | ||
0.612818 | − | 0.790224i | \(-0.290036\pi\) | |||||||
\(212\) | 25.1545 | + | 5.14190i | 1.72761 | + | 0.353147i | ||||
\(213\) | 3.64768 | + | 6.31796i | 0.249935 | + | 0.432900i | ||||
\(214\) | 4.96357 | − | 4.05159i | 0.339302 | − | 0.276961i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −12.5296 | + | 6.57003i | −0.852533 | + | 0.447034i | ||||
\(217\) | 4.42202 | + | 4.56226i | 0.300186 | + | 0.309707i | ||||
\(218\) | −2.70790 | − | 16.6756i | −0.183402 | − | 1.12942i | ||||
\(219\) | −5.16991 | − | 2.98485i | −0.349350 | − | 0.201697i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 3.30776 | + | 5.72920i | 0.222504 | + | 0.385388i | ||||
\(222\) | 10.2396 | + | 3.88483i | 0.687235 | + | 0.260733i | ||||
\(223\) | − | 12.2328i | − | 0.819169i | −0.912272 | − | 0.409585i | \(-0.865674\pi\) | ||
0.912272 | − | 0.409585i | \(-0.134326\pi\) | |||||||
\(224\) | −0.0583893 | − | 14.9665i | −0.00390130 | − | 0.999992i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −0.705164 | + | 1.85866i | −0.0469068 | + | 0.123636i | ||||
\(227\) | −13.9147 | + | 8.03366i | −0.923552 | + | 0.533213i | −0.884767 | − | 0.466035i | \(-0.845682\pi\) |
−0.0387855 | + | 0.999248i | \(0.512349\pi\) | |||||||
\(228\) | −10.8492 | + | 12.2400i | −0.718503 | + | 0.810612i | ||||
\(229\) | −15.3282 | − | 8.84975i | −1.01292 | − | 0.584808i | −0.100873 | − | 0.994899i | \(-0.532164\pi\) |
−0.912045 | + | 0.410091i | \(0.865497\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −5.49498 | + | 19.2975i | −0.361543 | + | 1.26968i | ||||
\(232\) | 8.44292 | + | 16.1014i | 0.554305 | + | 1.05711i | ||||
\(233\) | −6.90060 | − | 3.98406i | −0.452073 | − | 0.261005i | 0.256632 | − | 0.966509i | \(-0.417387\pi\) |
−0.708705 | + | 0.705505i | \(0.750720\pi\) | |||||||
\(234\) | 0.675676 | − | 0.551531i | 0.0441703 | − | 0.0360547i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 5.59972 | − | 27.3941i | 0.364510 | − | 1.78320i | ||||
\(237\) | −6.49553 | −0.421930 | ||||||||
\(238\) | 3.28656 | + | 7.62061i | 0.213036 | + | 0.493971i | ||||
\(239\) | − | 11.3845i | − | 0.736401i | −0.929747 | − | 0.368200i | \(-0.879974\pi\) | ||
0.929747 | − | 0.368200i | \(-0.120026\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −14.1199 | + | 8.15213i | −0.909543 | + | 0.525125i | −0.880284 | − | 0.474447i | \(-0.842648\pi\) |
−0.0292587 | + | 0.999572i | \(0.509315\pi\) | |||||||
\(242\) | −7.59749 | + | 6.20157i | −0.488385 | + | 0.398652i | ||||
\(243\) | −1.85775 | − | 1.07257i | −0.119175 | − | 0.0688056i | ||||
\(244\) | 0.0143061 | + | 0.0428878i | 0.000915854 | + | 0.00274561i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −1.98317 | − | 12.2126i | −0.126442 | − | 0.778647i | ||||
\(247\) | −6.81053 | + | 11.7962i | −0.433343 | + | 0.750573i | ||||
\(248\) | 3.63242 | − | 5.73942i | 0.230659 | − | 0.364454i | ||||
\(249\) | 10.5093 | + | 18.2026i | 0.665998 | + | 1.15354i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 3.30769 | 0.208779 | 0.104390 | − | 0.994536i | \(-0.466711\pi\) | ||||
0.104390 | + | 0.994536i | \(0.466711\pi\) | |||||||
\(252\) | 0.922264 | − | 0.588743i | 0.0580972 | − | 0.0370873i | ||||
\(253\) | 8.72333i | 0.548431i | ||||||||
\(254\) | −19.6268 | − | 7.44627i | −1.23149 | − | 0.467221i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −15.5389 | + | 3.81344i | −0.971182 | + | 0.238340i | ||||
\(257\) | −3.65064 | + | 6.32310i | −0.227721 | + | 0.394424i | −0.957132 | − | 0.289651i | \(-0.906461\pi\) |
0.729411 | + | 0.684075i | \(0.239794\pi\) | |||||||
\(258\) | 30.9303 | − | 5.02268i | 1.92564 | − | 0.312698i | ||||
\(259\) | 11.0041 | + | 3.13342i | 0.683760 | + | 0.194701i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −0.664565 | + | 1.15106i | −0.0411355 | + | 0.0712488i | ||||
\(262\) | 3.27926 | − | 2.67674i | 0.202593 | − | 0.165370i | ||||
\(263\) | −0.803288 | − | 1.39134i | −0.0495329 | − | 0.0857935i | 0.840196 | − | 0.542283i | \(-0.182440\pi\) |
−0.889729 | + | 0.456490i | \(0.849107\pi\) | |||||||
\(264\) | 21.4323 | + | 0.871780i | 1.31906 | + | 0.0536543i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −10.2049 | + | 13.7055i | −0.625704 | + | 0.840341i | ||||
\(267\) | −29.9052 | −1.83017 | ||||||||
\(268\) | −2.02683 | + | 9.91538i | −0.123809 | + | 0.605678i | ||||
\(269\) | −21.0856 | + | 12.1738i | −1.28561 | + | 0.742247i | −0.977868 | − | 0.209223i | \(-0.932907\pi\) |
−0.307742 | + | 0.951470i | \(0.599573\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.37857 | − | 2.38775i | 0.0837422 | − | 0.145046i | −0.821112 | − | 0.570767i | \(-0.806646\pi\) |
0.904855 | + | 0.425721i | \(0.139979\pi\) | |||||||
\(272\) | 7.09543 | − | 5.32629i | 0.430223 | − | 0.322954i | ||||
\(273\) | 10.1470 | − | 9.83510i | 0.614126 | − | 0.595247i | ||||
\(274\) | 21.1279 | − | 3.43089i | 1.27638 | − | 0.207268i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 4.89346 | − | 5.52078i | 0.294552 | − | 0.332312i | ||||
\(277\) | 16.6524 | − | 9.61429i | 1.00055 | − | 0.577667i | 0.0921377 | − | 0.995746i | \(-0.470630\pi\) |
0.908410 | + | 0.418080i | \(0.137297\pi\) | |||||||
\(278\) | −9.02753 | − | 3.42499i | −0.541435 | − | 0.205417i | ||||
\(279\) | 0.496563 | 0.0297285 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 2.61717 | 0.156128 | 0.0780638 | − | 0.996948i | \(-0.475126\pi\) | ||||
0.0780638 | + | 0.996948i | \(0.475126\pi\) | |||||||
\(282\) | 16.0174 | + | 6.07689i | 0.953820 | + | 0.361873i | ||||
\(283\) | 21.4276 | − | 12.3712i | 1.27374 | − | 0.735393i | 0.298049 | − | 0.954551i | \(-0.403664\pi\) |
0.975690 | + | 0.219157i | \(0.0703308\pi\) | |||||||
\(284\) | 5.40454 | − | 6.09738i | 0.320701 | − | 0.361813i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 17.6322 | − | 2.86324i | 1.04261 | − | 0.169307i | ||||
\(287\) | −3.15018 | − | 12.5361i | −0.185949 | − | 0.739984i | ||||
\(288\) | −0.843087 | − | 0.810815i | −0.0496794 | − | 0.0477777i | ||||
\(289\) | 6.04017 | − | 10.4619i | 0.355304 | − | 0.615405i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 18.6407 | − | 10.7622i | 1.09273 | − | 0.630891i | ||||
\(292\) | −1.33527 | + | 6.53219i | −0.0781405 | + | 0.382268i | ||||
\(293\) | −13.9941 | −0.817542 | −0.408771 | − | 0.912637i | \(-0.634043\pi\) | ||||
−0.408771 | + | 0.912637i | \(0.634043\pi\) | |||||||
\(294\) | 14.0764 | − | 10.7758i | 0.820954 | − | 0.628459i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 0.497117 | − | 12.2214i | 0.0288943 | − | 0.710353i | ||||
\(297\) | −10.5915 | − | 18.3450i | −0.614581 | − | 1.06449i | ||||
\(298\) | −16.2434 | + | 13.2589i | −0.940956 | + | 0.768070i | ||||
\(299\) | 3.07186 | − | 5.32062i | 0.177650 | − | 0.307699i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 31.7497 | − | 7.97831i | 1.83002 | − | 0.459862i | ||||
\(302\) | 17.8246 | − | 2.89448i | 1.02569 | − | 0.166559i | ||||
\(303\) | −6.27524 | + | 10.8690i | −0.360503 | + | 0.624410i | ||||
\(304\) | 16.8019 | + | 7.16862i | 0.963658 | + | 0.411148i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0.606433 | + | 0.230077i | 0.0346675 | + | 0.0131526i | ||||
\(307\) | − | 26.2375i | − | 1.49746i | −0.662878 | − | 0.748728i | \(-0.730665\pi\) | ||
0.662878 | − | 0.748728i | \(-0.269335\pi\) | |||||||
\(308\) | 22.3870 | − | 0.998111i | 1.27562 | − | 0.0568727i | ||||
\(309\) | −3.68904 | −0.209862 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 3.72950 | + | 6.45969i | 0.211481 | + | 0.366295i | 0.952178 | − | 0.305543i | \(-0.0988381\pi\) |
−0.740697 | + | 0.671839i | \(0.765505\pi\) | |||||||
\(312\) | −12.7652 | − | 8.07894i | −0.722685 | − | 0.457380i | ||||
\(313\) | −2.12920 | + | 3.68788i | −0.120349 | + | 0.208451i | −0.919905 | − | 0.392140i | \(-0.871735\pi\) |
0.799556 | + | 0.600591i | \(0.205068\pi\) | |||||||
\(314\) | 2.73572 | + | 16.8469i | 0.154385 | + | 0.950725i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.29556 | + | 6.88178i | 0.129135 | + | 0.387131i | ||||
\(317\) | −5.23441 | − | 3.02209i | −0.293994 | − | 0.169737i | 0.345748 | − | 0.938327i | \(-0.387625\pi\) |
−0.639742 | + | 0.768590i | \(0.720959\pi\) | |||||||
\(318\) | 25.1854 | − | 20.5579i | 1.41232 | − | 1.15283i | ||||
\(319\) | −23.5745 | + | 13.6108i | −1.31992 | + | 0.762057i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | − | 8.11313i | − | 0.452831i | ||||||
\(322\) | 4.60289 | − | 6.18183i | 0.256509 | − | 0.344500i | ||||
\(323\) | −10.1294 | −0.563612 | ||||||||
\(324\) | −3.83624 | + | 18.7671i | −0.213124 | + | 1.04262i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 4.30471 | − | 3.51379i | 0.238416 | − | 0.194611i | ||||
\(327\) | −18.5261 | − | 10.6960i | −1.02450 | − | 0.591492i | ||||
\(328\) | −12.2379 | + | 6.41709i | −0.675728 | + | 0.354325i | ||||
\(329\) | 17.2132 | + | 4.90148i | 0.948997 | + | 0.270227i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −25.1826 | − | 14.5392i | −1.38416 | − | 0.799145i | −0.391510 | − | 0.920174i | \(-0.628047\pi\) |
−0.992649 | + | 0.121029i | \(0.961380\pi\) | |||||||
\(332\) | 15.5710 | − | 17.5671i | 0.854567 | − | 0.964119i | ||||
\(333\) | 0.774403 | − | 0.447102i | 0.0424370 | − | 0.0245010i | ||||
\(334\) | 1.54708 | − | 4.07778i | 0.0846527 | − | 0.223126i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −14.7281 | − | 11.9266i | −0.803482 | − | 0.650648i | ||||
\(337\) | − | 16.6744i | − | 0.908311i | −0.890922 | − | 0.454156i | \(-0.849941\pi\) | ||
0.890922 | − | 0.454156i | \(-0.150059\pi\) | |||||||
\(338\) | 5.42657 | + | 2.05881i | 0.295167 | + | 0.111984i | ||||
\(339\) | 1.25861 | + | 2.17998i | 0.0683583 | + | 0.118400i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 8.80745 | + | 5.08498i | 0.476950 | + | 0.275367i | ||||
\(342\) | 0.214058 | + | 1.31820i | 0.0115749 | + | 0.0712799i | ||||
\(343\) | 13.6945 | − | 12.4684i | 0.739431 | − | 0.673232i | ||||
\(344\) | −16.2523 | − | 30.9945i | −0.876265 | − | 1.67111i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 12.7308 | − | 10.3917i | 0.684412 | − | 0.558662i | ||||
\(347\) | −10.8223 | − | 18.7447i | −0.580970 | − | 1.00627i | −0.995365 | − | 0.0961725i | \(-0.969340\pi\) |
0.414395 | − | 0.910097i | \(-0.363993\pi\) | |||||||
\(348\) | 22.5549 | + | 4.61051i | 1.20907 | + | 0.247149i | ||||
\(349\) | 4.97653i | 0.266388i | 0.991090 | + | 0.133194i | \(0.0425233\pi\) | ||||
−0.991090 | + | 0.133194i | \(0.957477\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 14.9189i | 0.796311i | ||||||||
\(352\) | −6.65065 | − | 23.0148i | −0.354481 | − | 1.22669i | ||||
\(353\) | 4.29603 | + | 7.44095i | 0.228655 | + | 0.396042i | 0.957410 | − | 0.288733i | \(-0.0932340\pi\) |
−0.728755 | + | 0.684775i | \(0.759901\pi\) | |||||||
\(354\) | −22.3883 | − | 27.4278i | −1.18993 | − | 1.45777i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 10.5686 | + | 31.6834i | 0.560137 | + | 1.67922i | ||||
\(357\) | 10.1070 | + | 2.87797i | 0.534918 | + | 0.152318i | ||||
\(358\) | 8.14849 | − | 1.32321i | 0.430661 | − | 0.0699337i | ||||
\(359\) | 18.8228 | + | 10.8673i | 0.993429 | + | 0.573557i | 0.906298 | − | 0.422640i | \(-0.138897\pi\) |
0.0871318 | + | 0.996197i | \(0.472230\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −0.927949 | − | 1.60726i | −0.0488394 | − | 0.0845924i | ||||
\(362\) | −4.90748 | + | 12.9351i | −0.257931 | + | 0.679852i | ||||
\(363\) | 12.4184i | 0.651795i | ||||||||
\(364\) | −14.0059 | − | 7.27463i | −0.734111 | − | 0.381294i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0.0535256 | + | 0.0203073i | 0.00279783 | + | 0.00106148i | ||||
\(367\) | −0.819305 | + | 0.473026i | −0.0427674 | + | 0.0246918i | −0.521231 | − | 0.853415i | \(-0.674527\pi\) |
0.478464 | + | 0.878107i | \(0.341194\pi\) | |||||||
\(368\) | −7.57844 | − | 3.23337i | −0.395054 | − | 0.168551i | ||||
\(369\) | −0.874871 | − | 0.505107i | −0.0455439 | − | 0.0262948i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 24.3883 | − | 23.6386i | 1.26618 | − | 1.22726i | ||||
\(372\) | −2.72153 | − | 8.15881i | −0.141105 | − | 0.423015i | ||||
\(373\) | 31.9654 | + | 18.4552i | 1.65511 | + | 0.955576i | 0.974926 | + | 0.222530i | \(0.0714316\pi\) |
0.680180 | + | 0.733045i | \(0.261902\pi\) | |||||||
\(374\) | 8.40013 | + | 10.2909i | 0.434360 | + | 0.532131i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0.777621 | − | 19.1174i | 0.0401028 | − | 0.985906i | ||||
\(377\) | 19.1717 | 0.987394 | ||||||||
\(378\) | −2.17408 | + | 18.5889i | −0.111823 | + | 0.956110i | ||||
\(379\) | 32.1315i | 1.65048i | 0.564780 | + | 0.825241i | \(0.308961\pi\) | ||||
−0.564780 | + | 0.825241i | \(0.691039\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −23.0197 | + | 13.2905i | −1.17934 | + | 0.680891i | ||||
\(382\) | −14.1300 | − | 17.3106i | −0.722955 | − | 0.885686i | ||||
\(383\) | −14.4272 | − | 8.32956i | −0.737196 | − | 0.425620i | 0.0838528 | − | 0.996478i | \(-0.473277\pi\) |
−0.821049 | + | 0.570858i | \(0.806611\pi\) | |||||||
\(384\) | −8.70140 | + | 18.2963i | −0.444041 | + | 0.933677i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 5.89661 | − | 0.957533i | 0.300130 | − | 0.0487371i | ||||
\(387\) | 1.27926 | − | 2.21575i | 0.0650285 | − | 0.112633i | ||||
\(388\) | −17.9899 | − | 15.9457i | −0.913296 | − | 0.809520i | ||||
\(389\) | 9.88823 | + | 17.1269i | 0.501353 | + | 0.868369i | 0.999999 | + | 0.00156294i | \(0.000497498\pi\) |
−0.498646 | + | 0.866806i | \(0.666169\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 4.56880 | 0.231054 | ||||||||
\(392\) | −16.3913 | − | 11.1052i | −0.827885 | − | 0.560898i | ||||
\(393\) | − | 5.36007i | − | 0.270380i | ||||||
\(394\) | −4.66011 | + | 12.2830i | −0.234773 | + | 0.618811i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 1.16171 | − | 1.31063i | 0.0583780 | − | 0.0658618i | ||||
\(397\) | −19.4679 | + | 33.7193i | −0.977064 | + | 1.69232i | −0.304117 | + | 0.952635i | \(0.598361\pi\) |
−0.672948 | + | 0.739690i | \(0.734972\pi\) | |||||||
\(398\) | −3.41370 | − | 21.0220i | −0.171113 | − | 1.05374i | ||||
\(399\) | 5.27318 | + | 20.9846i | 0.263989 | + | 1.05055i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −4.46848 | + | 7.73964i | −0.223145 | + | 0.386499i | −0.955761 | − | 0.294143i | \(-0.904966\pi\) |
0.732616 | + | 0.680642i | \(0.238299\pi\) | |||||||
\(402\) | 8.10352 | + | 9.92756i | 0.404167 | + | 0.495142i | ||||
\(403\) | −3.58128 | − | 6.20296i | −0.178396 | − | 0.308992i | ||||
\(404\) | 13.7331 | + | 2.80722i | 0.683245 | + | 0.139664i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 23.8880 | + | 2.79383i | 1.18554 | + | 0.138656i | ||||
\(407\) | 18.3139 | 0.907788 | ||||||||
\(408\) | 0.456590 | − | 11.2250i | 0.0226046 | − | 0.555722i | ||||
\(409\) | −21.8677 | + | 12.6253i | −1.08129 | + | 0.624282i | −0.931244 | − | 0.364397i | \(-0.881275\pi\) |
−0.150044 | + | 0.988679i | \(0.547942\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 13.5518 | − | 23.4724i | 0.668462 | − | 1.15781i | ||||
\(412\) | 1.30373 | + | 3.90840i | 0.0642299 | + | 0.192553i | ||||
\(413\) | −25.7433 | − | 26.5598i | −1.26675 | − | 1.30692i | ||||
\(414\) | −0.0965498 | − | 0.594567i | −0.00474516 | − | 0.0292214i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −4.04807 | + | 16.3794i | −0.198473 | + | 0.803065i | ||||
\(417\) | −10.5882 | + | 6.11308i | −0.518504 | + | 0.299359i | ||||
\(418\) | −9.70209 | + | 25.5726i | −0.474545 | + | 1.25080i | ||||
\(419\) | −1.53621 | −0.0750489 | −0.0375245 | − | 0.999296i | \(-0.511947\pi\) | ||||
−0.0375245 | + | 0.999296i | \(0.511947\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 15.7880 | 0.769460 | 0.384730 | − | 0.923029i | \(-0.374295\pi\) | ||||
0.384730 | + | 0.923029i | \(0.374295\pi\) | |||||||
\(422\) | −11.5166 | + | 30.3553i | −0.560620 | + | 1.47767i | ||||
\(423\) | 1.21137 | − | 0.699384i | 0.0588987 | − | 0.0340052i | ||||
\(424\) | −30.6810 | − | 19.4177i | −1.49000 | − | 0.943006i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −1.65371 | − | 10.1838i | −0.0801227 | − | 0.493406i | ||||
\(427\) | 0.0575219 | + | 0.0163794i | 0.00278368 | + | 0.000792655i | ||||
\(428\) | −8.59556 | + | 2.86722i | −0.415482 | + | 0.138592i | ||||
\(429\) | 11.3096 | − | 19.5888i | 0.546034 | − | 0.945758i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −10.3752 | + | 5.99013i | −0.499756 | + | 0.288534i | −0.728613 | − | 0.684926i | \(-0.759835\pi\) |
0.228857 | + | 0.973460i | \(0.426501\pi\) | |||||||
\(432\) | 19.8632 | − | 2.40170i | 0.955667 | − | 0.115552i | ||||
\(433\) | −24.2190 | −1.16389 | −0.581946 | − | 0.813228i | \(-0.697708\pi\) | ||||
−0.581946 | + | 0.813228i | \(0.697708\pi\) | |||||||
\(434\) | −3.55834 | − | 8.25077i | −0.170806 | − | 0.396050i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −4.78485 | + | 23.4078i | −0.229153 | + | 1.12103i | ||||
\(437\) | 4.70348 | + | 8.14667i | 0.224998 | + | 0.389708i | ||||
\(438\) | 5.33855 | + | 6.54022i | 0.255086 | + | 0.312504i | ||||
\(439\) | 12.9813 | − | 22.4843i | 0.619564 | − | 1.07312i | −0.370002 | − | 0.929031i | \(-0.620643\pi\) |
0.989565 | − | 0.144085i | \(-0.0460238\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0.0451790 | − | 1.44673i | 0.00215138 | − | 0.0688921i | ||||
\(442\) | −1.49961 | − | 9.23478i | −0.0713291 | − | 0.439254i | ||||
\(443\) | −8.96825 | + | 15.5335i | −0.426094 | + | 0.738017i | −0.996522 | − | 0.0833309i | \(-0.973444\pi\) |
0.570428 | + | 0.821348i | \(0.306777\pi\) | |||||||
\(444\) | −11.5904 | − | 10.2734i | −0.550058 | − | 0.487555i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −6.13662 | + | 16.1748i | −0.290578 | + | 0.765900i | ||||
\(447\) | 26.5505i | 1.25579i | ||||||||
\(448\) | −7.43079 | + | 19.8188i | −0.351072 | + | 0.936348i | ||||
\(449\) | 4.14444 | 0.195588 | 0.0977941 | − | 0.995207i | \(-0.468821\pi\) | ||||
0.0977941 | + | 0.995207i | \(0.468821\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −10.3449 | − | 17.9180i | −0.487125 | − | 0.843725i | ||||
\(452\) | 1.86481 | − | 2.10387i | 0.0877131 | − | 0.0989575i | ||||
\(453\) | 11.4330 | − | 19.8026i | 0.537170 | − | 0.930406i | ||||
\(454\) | 22.4288 | − | 3.64215i | 1.05264 | − | 0.170935i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 20.4855 | − | 10.7418i | 0.959322 | − | 0.503030i | ||||
\(457\) | −5.96908 | − | 3.44625i | −0.279222 | − | 0.161209i | 0.353849 | − | 0.935303i | \(-0.384873\pi\) |
−0.633071 | + | 0.774094i | \(0.718206\pi\) | |||||||
\(458\) | 15.8282 | + | 19.3910i | 0.739605 | + | 0.906084i | ||||
\(459\) | −9.60811 | + | 5.54724i | −0.448468 | + | 0.258923i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 10.4266i | 0.485616i | 0.970074 | + | 0.242808i | \(0.0780684\pi\) | ||||
−0.970074 | + | 0.242808i | \(0.921932\pi\) | |||||||
\(462\) | 16.9464 | − | 22.7596i | 0.788418 | − | 1.05887i | ||||
\(463\) | −9.86521 | −0.458475 | −0.229238 | − | 0.973370i | \(-0.573623\pi\) | ||||
−0.229238 | + | 0.973370i | \(0.573623\pi\) | |||||||
\(464\) | −3.08634 | − | 25.5254i | −0.143280 | − | 1.18499i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 7.12570 | + | 8.72963i | 0.330092 | + | 0.404392i | ||||
\(467\) | −3.37330 | − | 1.94758i | −0.156098 | − | 0.0901231i | 0.419916 | − | 0.907563i | \(-0.362059\pi\) |
−0.576014 | + | 0.817440i | \(0.695393\pi\) | |||||||
\(468\) | −1.17009 | + | 0.390307i | −0.0540874 | + | 0.0180419i | ||||
\(469\) | 9.31787 | + | 9.61339i | 0.430259 | + | 0.443905i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 18.7164 | + | 10.8059i | 0.862405 | + | 0.497910i | ||||
\(472\) | −21.1466 | + | 33.4127i | −0.973349 | + | 1.53795i | ||||
\(473\) | 45.3801 | − | 26.2002i | 2.08658 | − | 1.20469i | ||||
\(474\) | 8.58872 | + | 3.25851i | 0.394493 | + | 0.149668i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −0.522755 | − | 11.7251i | −0.0239605 | − | 0.537417i | ||||
\(477\) | − | 2.65446i | − | 0.121539i | ||||||
\(478\) | −5.71106 | + | 15.0531i | −0.261218 | + | 0.688514i | ||||
\(479\) | −0.547415 | − | 0.948150i | −0.0250120 | − | 0.0433221i | 0.853248 | − | 0.521505i | \(-0.174629\pi\) |
−0.878260 | + | 0.478183i | \(0.841296\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −11.1702 | − | 6.44912i | −0.509317 | − | 0.294054i | ||||
\(482\) | 22.7596 | − | 3.69586i | 1.03667 | − | 0.168342i | ||||
\(483\) | −2.37845 | − | 9.46503i | −0.108223 | − | 0.430674i | ||||
\(484\) | 13.1568 | − | 4.38871i | 0.598037 | − | 0.199487i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 1.91835 | + | 2.35016i | 0.0870182 | + | 0.106605i | ||||
\(487\) | −7.00816 | − | 12.1385i | −0.317570 | − | 0.550048i | 0.662410 | − | 0.749141i | \(-0.269534\pi\) |
−0.979980 | + | 0.199094i | \(0.936200\pi\) | |||||||
\(488\) | 0.00259860 | − | 0.0638851i | 0.000117633 | − | 0.00289194i | ||||
\(489\) | − | 7.03621i | − | 0.318189i | ||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 12.7049i | 0.573364i | 0.958026 | + | 0.286682i | \(0.0925523\pi\) | ||||
−0.958026 | + | 0.286682i | \(0.907448\pi\) | |||||||
\(492\) | −3.50425 | + | 17.1430i | −0.157984 | + | 0.772865i | ||||
\(493\) | 7.12857 | + | 12.3470i | 0.321055 | + | 0.556083i | ||||
\(494\) | 14.9228 | − | 12.1810i | 0.671409 | − | 0.548048i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −7.68216 | + | 5.76673i | −0.344939 | + | 0.258934i | ||||
\(497\) | −2.62685 | − | 10.4536i | −0.117830 | − | 0.468907i | ||||
\(498\) | −4.76449 | − | 29.3404i | −0.213502 | − | 1.31477i | ||||
\(499\) | −6.22192 | − | 3.59223i | −0.278532 | − | 0.160810i | 0.354227 | − | 0.935160i | \(-0.384744\pi\) |
−0.632758 | + | 0.774349i | \(0.718077\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −2.76131 | − | 4.78273i | −0.123366 | − | 0.213676i | ||||
\(502\) | −4.37359 | − | 1.65931i | −0.195203 | − | 0.0740587i | ||||
\(503\) | 32.4664i | 1.44760i | 0.690008 | + | 0.723802i | \(0.257607\pi\) | ||||
−0.690008 | + | 0.723802i | \(0.742393\pi\) | |||||||
\(504\) | −1.51481 | + | 0.315808i | −0.0674749 | + | 0.0140672i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 4.37609 | − | 11.5344i | 0.194541 | − | 0.512768i | ||||
\(507\) | 6.36469 | − | 3.67465i | 0.282666 | − | 0.163197i | ||||
\(508\) | 22.2160 | + | 19.6917i | 0.985678 | + | 0.873676i | ||||
\(509\) | −2.74567 | − | 1.58521i | −0.121699 | − | 0.0702632i | 0.437915 | − | 0.899017i | \(-0.355717\pi\) |
−0.559614 | + | 0.828753i | \(0.689051\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 6.13855 | + | 6.33324i | 0.271554 | + | 0.280166i | ||||
\(512\) | 22.4593 | + | 2.75282i | 0.992572 | + | 0.121659i | ||||
\(513\) | −19.7827 | − | 11.4215i | −0.873427 | − | 0.504273i | ||||
\(514\) | 7.99906 | − | 6.52936i | 0.352824 | − | 0.287998i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −43.4173 | − | 8.87506i | −1.91134 | − | 0.390703i | ||||
\(517\) | 28.6478 | 1.25993 | ||||||||
\(518\) | −12.9782 | − | 9.66339i | −0.570231 | − | 0.424585i | ||||
\(519\) | − | 20.8090i | − | 0.913412i | ||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 15.5474 | − | 8.97629i | 0.681143 | − | 0.393258i | −0.119142 | − | 0.992877i | \(-0.538015\pi\) |
0.800286 | + | 0.599619i | \(0.204681\pi\) | |||||||
\(522\) | 1.45615 | − | 1.18861i | 0.0637341 | − | 0.0520240i | ||||
\(523\) | 11.5683 | + | 6.67894i | 0.505845 | + | 0.292050i | 0.731124 | − | 0.682245i | \(-0.238996\pi\) |
−0.225279 | + | 0.974294i | \(0.572329\pi\) | |||||||
\(524\) | −5.67879 | + | 1.89427i | −0.248079 | + | 0.0827518i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0.364180 | + | 2.24267i | 0.0158790 | + | 0.0977849i | ||||
\(527\) | 2.66323 | − | 4.61286i | 0.116012 | − | 0.200939i | ||||
\(528\) | −27.9015 | − | 11.9043i | −1.21426 | − | 0.518067i | ||||
\(529\) | 9.37851 | + | 16.2441i | 0.407762 | + | 0.706264i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −2.89080 | −0.125450 | ||||||||
\(532\) | 20.3689 | − | 13.0028i | 0.883103 | − | 0.563744i | ||||
\(533\) | 14.5716i | 0.631166i | ||||||||
\(534\) | 39.5421 | + | 15.0020i | 1.71115 | + | 0.649201i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 7.65406 | − | 12.0938i | 0.330605 | − | 0.522374i | ||||
\(537\) | 5.22659 | − | 9.05272i | 0.225544 | − | 0.390654i | ||||
\(538\) | 33.9874 | − | 5.51911i | 1.46530 | − | 0.237946i | ||||
\(539\) | 15.6164 | − | 25.1978i | 0.672646 | − | 1.08535i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −14.3702 | + | 24.8899i | −0.617822 | + | 1.07010i | 0.372060 | + | 0.928209i | \(0.378652\pi\) |
−0.989882 | + | 0.141891i | \(0.954682\pi\) | |||||||
\(542\) | −3.02064 | + | 2.46564i | −0.129748 | + | 0.105908i | ||||
\(543\) | 8.75910 | + | 15.1712i | 0.375889 | + | 0.651059i | ||||
\(544\) | −12.0539 | + | 3.48324i | −0.516806 | + | 0.149343i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −18.3507 | + | 7.91417i | −0.785338 | + | 0.338695i | ||||
\(547\) | −11.3007 | −0.483181 | −0.241591 | − | 0.970378i | \(-0.577669\pi\) | ||||
−0.241591 | + | 0.970378i | \(0.577669\pi\) | |||||||
\(548\) | −29.6575 | − | 6.06238i | −1.26690 | − | 0.258972i | ||||
\(549\) | 0.00404806 | − | 0.00233715i | 0.000172767 | − | 9.97470e-5i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −14.6774 | + | 25.4220i | −0.625279 | + | 1.08301i | ||||
\(552\) | −9.23990 | + | 4.84503i | −0.393276 | + | 0.206218i | ||||
\(553\) | 9.22997 | + | 2.62824i | 0.392498 | + | 0.111764i | ||||
\(554\) | −26.8417 | + | 4.35874i | −1.14040 | + | 0.185185i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 10.2185 | + | 9.05738i | 0.433361 | + | 0.384118i | ||||
\(557\) | 2.89442 | − | 1.67109i | 0.122640 | − | 0.0708065i | −0.437425 | − | 0.899255i | \(-0.644109\pi\) |
0.560065 | + | 0.828449i | \(0.310776\pi\) | |||||||
\(558\) | −0.656580 | − | 0.249102i | −0.0277953 | − | 0.0105453i | ||||
\(559\) | −36.9048 | −1.56091 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 16.8209 | 0.710179 | ||||||||
\(562\) | −3.46056 | − | 1.31291i | −0.145975 | − | 0.0553819i | ||||
\(563\) | −33.5177 | + | 19.3515i | −1.41260 | + | 0.815567i | −0.995633 | − | 0.0933539i | \(-0.970241\pi\) |
−0.416970 | + | 0.908920i | \(0.636908\pi\) | |||||||
\(564\) | −18.1305 | − | 16.0703i | −0.763430 | − | 0.676683i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −34.5387 | + | 5.60863i | −1.45177 | + | 0.235748i | ||||
\(567\) | 17.6361 | + | 18.1955i | 0.740649 | + | 0.764139i | ||||
\(568\) | −10.2049 | + | 5.35105i | −0.428189 | + | 0.224525i | ||||
\(569\) | 8.27513 | − | 14.3329i | 0.346911 | − | 0.600868i | −0.638788 | − | 0.769383i | \(-0.720564\pi\) |
0.985699 | + | 0.168515i | \(0.0538971\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −13.6896 | + | 7.90367i | −0.572890 | + | 0.330758i | −0.758303 | − | 0.651902i | \(-0.773971\pi\) |
0.185413 | + | 0.982661i | \(0.440638\pi\) | |||||||
\(572\) | −24.7505 | − | 5.05934i | −1.03487 | − | 0.211542i | ||||
\(573\) | −28.2948 | −1.18203 | ||||||||
\(574\) | −2.12347 | + | 18.1562i | −0.0886319 | + | 0.757825i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0.708024 | + | 1.49504i | 0.0295010 | + | 0.0622932i | ||||
\(577\) | 0.955219 | + | 1.65449i | 0.0397663 | + | 0.0688772i | 0.885224 | − | 0.465166i | \(-0.154005\pi\) |
−0.845457 | + | 0.534043i | \(0.820672\pi\) | |||||||
\(578\) | −13.2349 | + | 10.8032i | −0.550497 | + | 0.449352i | ||||
\(579\) | 3.78219 | − | 6.55095i | 0.157183 | − | 0.272248i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −7.56820 | − | 30.1176i | −0.313982 | − | 1.24949i | ||||
\(582\) | −30.0465 | + | 4.87916i | −1.24547 | + | 0.202248i | ||||
\(583\) | 27.1826 | − | 47.0817i | 1.12579 | − | 1.94992i | ||||
\(584\) | 5.04245 | − | 7.96735i | 0.208658 | − | 0.329691i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 18.5037 | + | 7.02017i | 0.764379 | + | 0.290000i | ||||
\(587\) | 25.0330i | 1.03322i | 0.856221 | + | 0.516611i | \(0.172806\pi\) | ||||
−0.856221 | + | 0.516611i | \(0.827194\pi\) | |||||||
\(588\) | −24.0183 | + | 7.18686i | −0.990497 | + | 0.296381i | ||||
\(589\) | 10.9670 | 0.451886 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 8.31758 | + | 14.4065i | 0.342140 | + | 0.592603i | ||||
\(592\) | −6.78820 | + | 15.9103i | −0.278993 | + | 0.653910i | ||||
\(593\) | −11.7140 | + | 20.2893i | −0.481037 | + | 0.833180i | −0.999763 | − | 0.0217604i | \(-0.993073\pi\) |
0.518727 | + | 0.854940i | \(0.326406\pi\) | |||||||
\(594\) | 4.80177 | + | 29.5700i | 0.197019 | + | 1.21327i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 28.1293 | − | 9.38307i | 1.15222 | − | 0.384346i | ||||
\(597\) | −23.3548 | − | 13.4839i | −0.955848 | − | 0.551859i | ||||
\(598\) | −6.73087 | + | 5.49418i | −0.275246 | + | 0.224674i | ||||
\(599\) | 23.5836 | − | 13.6160i | 0.963600 | − | 0.556335i | 0.0663207 | − | 0.997798i | \(-0.478874\pi\) |
0.897279 | + | 0.441464i | \(0.145541\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 10.1290i | 0.413171i | 0.978429 | + | 0.206586i | \(0.0662352\pi\) | ||||
−0.978429 | + | 0.206586i | \(0.933765\pi\) | |||||||
\(602\) | −45.9834 | − | 5.37802i | −1.87414 | − | 0.219192i | ||||
\(603\) | 1.04633 | 0.0426101 | ||||||||
\(604\) | −25.0206 | − | 5.11454i | −1.01807 | − | 0.208108i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 13.7499 | − | 11.2236i | 0.558553 | − | 0.455927i | ||||
\(607\) | 29.2395 | + | 16.8814i | 1.18680 | + | 0.685196i | 0.957577 | − | 0.288179i | \(-0.0930497\pi\) |
0.229218 | + | 0.973375i | \(0.426383\pi\) | |||||||
\(608\) | −18.6202 | − | 17.9074i | −0.755149 | − | 0.726243i | ||||
\(609\) | 21.8679 | − | 21.1957i | 0.886133 | − | 0.858893i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −17.4731 | − | 10.0881i | −0.706886 | − | 0.408121i | ||||
\(612\) | −0.686437 | − | 0.608438i | −0.0277476 | − | 0.0245947i | ||||
\(613\) | −6.15689 | + | 3.55468i | −0.248674 | + | 0.143572i | −0.619157 | − | 0.785267i | \(-0.712526\pi\) |
0.370483 | + | 0.928839i | \(0.379192\pi\) | |||||||
\(614\) | −13.1621 | + | 34.6926i | −0.531181 | + | 1.40008i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −30.1019 | − | 9.91074i | −1.21284 | − | 0.399315i | ||||
\(617\) | − | 3.89670i | − | 0.156875i | −0.996919 | − | 0.0784377i | \(-0.975007\pi\) | ||
0.996919 | − | 0.0784377i | \(-0.0249932\pi\) | |||||||
\(618\) | 4.87783 | + | 1.85062i | 0.196215 | + | 0.0744428i | ||||
\(619\) | −9.99960 | − | 17.3198i | −0.401918 | − | 0.696142i | 0.592039 | − | 0.805909i | \(-0.298323\pi\) |
−0.993957 | + | 0.109767i | \(0.964990\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 8.92289 | + | 5.15163i | 0.358063 | + | 0.206728i | ||||
\(622\) | −1.69081 | − | 10.4122i | −0.0677954 | − | 0.417493i | ||||
\(623\) | 42.4944 | + | 12.1003i | 1.70250 | + | 0.484788i | ||||
\(624\) | 12.8259 | + | 17.0861i | 0.513447 | + | 0.683990i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 4.66536 | − | 3.80818i | 0.186465 | − | 0.152205i | ||||
\(627\) | 17.3167 | + | 29.9935i | 0.691564 | + | 1.19782i | ||||
\(628\) | 4.83400 | − | 23.6482i | 0.192898 | − | 0.943665i | ||||
\(629\) | − | 9.59182i | − | 0.382451i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 45.3146i | 1.80394i | 0.431794 | + | 0.901972i | \(0.357881\pi\) | ||||
−0.431794 | + | 0.901972i | \(0.642119\pi\) | |||||||
\(632\) | 0.416971 | − | 10.2510i | 0.0165862 | − | 0.407763i | ||||
\(633\) | 20.5554 | + | 35.6030i | 0.817004 | + | 1.41509i | ||||
\(634\) | 5.40516 | + | 6.62181i | 0.214666 | + | 0.262986i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −43.6143 | + | 14.5484i | −1.72942 | + | 0.576882i | ||||
\(637\) | −18.3981 | + | 9.86968i | −0.728961 | + | 0.391051i | ||||
\(638\) | 37.9993 | − | 6.17059i | 1.50441 | − | 0.244296i | ||||
\(639\) | −0.729533 | − | 0.421196i | −0.0288599 | − | 0.0166623i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 0.302318 | + | 0.523631i | 0.0119409 | + | 0.0206822i | 0.871934 | − | 0.489623i | \(-0.162866\pi\) |
−0.859993 | + | 0.510305i | \(0.829532\pi\) | |||||||
\(642\) | −4.06998 | + | 10.7276i | −0.160629 | + | 0.423384i | ||||
\(643\) | − | 41.7919i | − | 1.64811i | −0.566508 | − | 0.824056i | \(-0.691706\pi\) | ||
0.566508 | − | 0.824056i | \(-0.308294\pi\) | |||||||
\(644\) | −9.18730 | + | 5.86487i | −0.362030 | + | 0.231108i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 13.3935 | + | 5.08142i | 0.526962 | + | 0.199926i | ||||
\(647\) | 0.281039 | − | 0.162258i | 0.0110488 | − | 0.00637901i | −0.494465 | − | 0.869197i | \(-0.664636\pi\) |
0.505514 | + | 0.862818i | \(0.331303\pi\) | |||||||
\(648\) | 14.4870 | − | 22.8903i | 0.569104 | − | 0.899216i | ||||
\(649\) | −51.2737 | − | 29.6029i | −2.01267 | − | 1.16201i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −10.9427 | − | 3.11595i | −0.428880 | − | 0.122124i | ||||
\(652\) | −7.45461 | + | 2.48663i | −0.291945 | + | 0.0973841i | ||||
\(653\) | −12.4020 | − | 7.16031i | −0.485328 | − | 0.280204i | 0.237306 | − | 0.971435i | \(-0.423736\pi\) |
−0.722634 | + | 0.691230i | \(0.757069\pi\) | |||||||
\(654\) | 19.1304 | + | 23.4365i | 0.748058 | + | 0.916440i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 19.4008 | − | 2.34579i | 0.757473 | − | 0.0915877i | ||||
\(657\) | 0.689319 | 0.0268929 | ||||||||
\(658\) | −20.3014 | − | 15.1161i | −0.791430 | − | 0.589285i | ||||
\(659\) | − | 8.70296i | − | 0.339019i | −0.985529 | − | 0.169510i | \(-0.945782\pi\) | ||
0.985529 | − | 0.169510i | \(-0.0542184\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −18.4070 | + | 10.6273i | −0.715949 | + | 0.413354i | −0.813260 | − | 0.581900i | \(-0.802309\pi\) |
0.0973106 | + | 0.995254i | \(0.468976\pi\) | |||||||
\(662\) | 26.0040 | + | 31.8573i | 1.01068 | + | 1.23817i | ||||
\(663\) | −10.2596 | − | 5.92336i | −0.398448 | − | 0.230044i | ||||
\(664\) | −29.4013 | + | 15.4169i | −1.14099 | + | 0.598290i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −1.24824 | + | 0.202698i | −0.0483685 | + | 0.00785440i | ||||
\(667\) | 6.62018 | − | 11.4665i | 0.256335 | − | 0.443984i | ||||
\(668\) | −4.09126 | + | 4.61575i | −0.158296 | + | 0.178589i | ||||
\(669\) | 10.9529 | + | 18.9710i | 0.423465 | + | 0.733463i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 0.0957329 | 0.00369573 | ||||||||
\(672\) | 13.4912 | + | 23.1583i | 0.520433 | + | 0.893350i | ||||
\(673\) | − | 9.06372i | − | 0.349381i | −0.984623 | − | 0.174690i | \(-0.944108\pi\) | ||
0.984623 | − | 0.174690i | \(-0.0558924\pi\) | |||||||
\(674\) | −8.36475 | + | 22.0477i | −0.322198 | + | 0.849245i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −6.14248 | − | 5.44451i | −0.236249 | − | 0.209404i | ||||
\(677\) | −8.81053 | + | 15.2603i | −0.338616 | + | 0.586500i | −0.984173 | − | 0.177212i | \(-0.943292\pi\) |
0.645557 | + | 0.763713i | \(0.276625\pi\) | |||||||
\(678\) | −0.570605 | − | 3.51386i | −0.0219139 | − | 0.134949i | ||||
\(679\) | −30.8425 | + | 7.75033i | −1.18362 | + | 0.297430i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 14.3863 | − | 24.9177i | 0.551283 | − | 0.954850i | ||||
\(682\) | −9.09475 | − | 11.1419i | −0.348256 | − | 0.426646i | ||||
\(683\) | 7.28114 | + | 12.6113i | 0.278605 | + | 0.482558i | 0.971038 | − | 0.238924i | \(-0.0767947\pi\) |
−0.692433 | + | 0.721482i | \(0.743461\pi\) | |||||||
\(684\) | 0.378239 | − | 1.85037i | 0.0144623 | − | 0.0707505i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −24.3623 | + | 9.61651i | −0.930158 | + | 0.367160i | ||||
\(687\) | 31.6954 | 1.20925 | ||||||||
\(688\) | 5.94108 | + | 49.1355i | 0.226502 | + | 1.87327i | ||||
\(689\) | −33.1590 | + | 19.1443i | −1.26326 | + | 0.729341i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 4.64423 | − | 8.04404i | 0.176675 | − | 0.306010i | −0.764065 | − | 0.645139i | \(-0.776799\pi\) |
0.940740 | + | 0.339130i | \(0.110133\pi\) | |||||||
\(692\) | −22.0463 | + | 7.35399i | −0.838076 | + | 0.279557i | ||||
\(693\) | −0.564643 | − | 2.24700i | −0.0214490 | − | 0.0853564i | ||||
\(694\) | 4.90640 | + | 30.2142i | 0.186244 | + | 1.14692i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −27.5103 | − | 17.4110i | −1.04278 | − | 0.659961i | ||||
\(697\) | −9.38445 | + | 5.41811i | −0.355461 | + | 0.205226i | ||||
\(698\) | 2.49649 | − | 6.58022i | 0.0944936 | − | 0.249065i | ||||
\(699\) | 14.2689 | 0.539699 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −29.6374 | −1.11939 | −0.559695 | − | 0.828699i | \(-0.689082\pi\) | ||||
−0.559695 | + | 0.828699i | \(0.689082\pi\) | |||||||
\(702\) | 7.48410 | − | 19.7265i | 0.282469 | − | 0.744528i | ||||
\(703\) | 17.1033 | − | 9.87457i | 0.645062 | − | 0.372427i | ||||
\(704\) | −2.75162 | + | 33.7676i | −0.103706 | + | 1.27266i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −1.94765 | − | 11.9939i | −0.0733009 | − | 0.451397i | ||||
\(707\) | 13.3148 | − | 12.9055i | 0.500754 | − | 0.485361i | ||||
\(708\) | 15.8437 | + | 47.4975i | 0.595444 | + | 1.78507i | ||||
\(709\) | −10.6014 | + | 18.3622i | −0.398144 | + | 0.689606i | −0.993497 | − | 0.113858i | \(-0.963679\pi\) |
0.595353 | + | 0.803465i | \(0.297012\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0.649551 | − | 0.375019i | 0.0243601 | − | 0.0140643i | ||||
\(712\) | 1.91971 | − | 47.1952i | 0.0719444 | − | 1.76872i | ||||
\(713\) | −4.94660 | −0.185252 | ||||||||
\(714\) | −11.9202 | − | 8.87559i | −0.446102 | − | 0.332160i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −11.4381 | − | 2.33811i | −0.427463 | − | 0.0873791i | ||||
\(717\) | 10.1934 | + | 17.6554i | 0.380678 | + | 0.659354i | ||||
\(718\) | −19.4368 | − | 23.8119i | −0.725375 | − | 0.888651i | ||||
\(719\) | −9.44163 | + | 16.3534i | −0.352113 | + | 0.609878i | −0.986620 | − | 0.163040i | \(-0.947870\pi\) |
0.634506 | + | 0.772918i | \(0.281204\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 5.24202 | + | 1.49267i | 0.195223 | + | 0.0555898i | ||||
\(722\) | 0.420696 | + | 2.59070i | 0.0156567 | + | 0.0964159i | ||||
\(723\) | 14.5984 | − | 25.2852i | 0.542920 | − | 0.940366i | ||||
\(724\) | 12.9778 | − | 14.6415i | 0.482317 | − | 0.544148i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 6.22971 | − | 16.4202i | 0.231206 | − | 0.609410i | ||||
\(727\) | 4.07859i | 0.151267i | 0.997136 | + | 0.0756333i | \(0.0240978\pi\) | ||||
−0.997136 | + | 0.0756333i | \(0.975902\pi\) | |||||||
\(728\) | 14.8700 | + | 16.6450i | 0.551119 | + | 0.616905i | ||||
\(729\) | −24.8913 | −0.921900 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −13.7222 | − | 23.7676i | −0.507535 | − | 0.879076i | ||||
\(732\) | −0.0605870 | − | 0.0537026i | −0.00223936 | − | 0.00198490i | ||||
\(733\) | 0.761855 | − | 1.31957i | 0.0281397 | − | 0.0487395i | −0.851613 | − | 0.524172i | \(-0.824375\pi\) |
0.879752 | + | 0.475432i | \(0.157708\pi\) | |||||||
\(734\) | 1.32062 | − | 0.214452i | 0.0487450 | − | 0.00791555i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 8.39856 | + | 8.07708i | 0.309575 | + | 0.297725i | ||||
\(737\) | 18.5587 | + | 10.7148i | 0.683617 | + | 0.394686i | ||||
\(738\) | 0.903409 | + | 1.10676i | 0.0332549 | + | 0.0407404i | ||||
\(739\) | 25.1141 | − | 14.4997i | 0.923839 | − | 0.533379i | 0.0389810 | − | 0.999240i | \(-0.487589\pi\) |
0.884858 | + | 0.465861i | \(0.154255\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | − | 24.3919i | − | 0.896058i | ||||||
\(742\) | −44.1058 | + | 19.0217i | −1.61918 | + | 0.698307i | ||||
\(743\) | −30.8783 | −1.13282 | −0.566408 | − | 0.824125i | \(-0.691667\pi\) | ||||
−0.566408 | + | 0.824125i | \(0.691667\pi\) | |||||||
\(744\) | −0.494346 | + | 12.1533i | −0.0181236 | + | 0.445560i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −33.0081 | − | 40.4380i | −1.20851 | − | 1.48054i | ||||
\(747\) | −2.10185 | − | 1.21350i | −0.0769026 | − | 0.0443997i | ||||
\(748\) | −5.94459 | − | 17.8211i | −0.217356 | − | 0.651605i | ||||
\(749\) | −3.28275 | + | 11.5285i | −0.119949 | + | 0.421243i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −45.9308 | − | 26.5182i | −1.67604 | − | 0.967661i | −0.964146 | − | 0.265374i | \(-0.914505\pi\) |
−0.711893 | − | 0.702288i | \(-0.752162\pi\) | |||||||
\(752\) | −10.6185 | + | 24.8879i | −0.387218 | + | 0.907568i | ||||
\(753\) | −5.12967 | + | 2.96162i | −0.186936 | + | 0.107927i | ||||
\(754\) | −25.3498 | − | 9.61756i | −0.923186 | − | 0.350251i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 12.1999 | − | 23.4885i | 0.443705 | − | 0.854270i | ||||
\(757\) | 10.2924i | 0.374082i | 0.982352 | + | 0.187041i | \(0.0598898\pi\) | ||||
−0.982352 | + | 0.187041i | \(0.940110\pi\) | |||||||
\(758\) | 16.1189 | − | 42.4858i | 0.585463 | − | 1.54315i | ||||
\(759\) | −7.81065 | − | 13.5284i | −0.283508 | − | 0.491051i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −24.8716 | − | 14.3596i | −0.901595 | − | 0.520536i | −0.0238779 | − | 0.999715i | \(-0.507601\pi\) |
−0.877717 | + | 0.479179i | \(0.840935\pi\) | |||||||
\(762\) | 37.1050 | − | 6.02537i | 1.34417 | − | 0.218276i | ||||
\(763\) | 21.9972 | + | 22.6948i | 0.796351 | + | 0.821608i | ||||
\(764\) | 9.99951 | + | 29.9773i | 0.361770 | + | 1.08454i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 14.8978 | + | 18.2512i | 0.538281 | + | 0.659443i | ||||
\(767\) | 20.8489 | + | 36.1113i | 0.752809 | + | 1.30390i | ||||
\(768\) | 20.6838 | − | 19.8271i | 0.746362 | − | 0.715450i | ||||
\(769\) | − | 31.6976i | − | 1.14304i | −0.820586 | − | 0.571522i | \(-0.806353\pi\) | ||
0.820586 | − | 0.571522i | \(-0.193647\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | − | 13.0748i | − | 0.470876i | ||||||
\(772\) | −8.27714 | − | 1.69196i | −0.297901 | − | 0.0608949i | ||||
\(773\) | 18.9867 | + | 32.8859i | 0.682904 | + | 1.18282i | 0.974091 | + | 0.226158i | \(0.0726167\pi\) |
−0.291186 | + | 0.956666i | \(0.594050\pi\) | |||||||
\(774\) | −2.80304 | + | 2.28802i | −0.100753 | + | 0.0822413i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 15.7879 | + | 30.1088i | 0.566752 | + | 1.08084i | ||||
\(777\) | −19.8711 | + | 4.99335i | −0.712870 | + | 0.179136i | ||||
\(778\) | −4.48294 | − | 27.6065i | −0.160721 | − | 0.989741i | ||||
\(779\) | −19.3222 | − | 11.1557i | −0.692289 | − | 0.399693i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −8.62640 | − | 14.9414i | −0.308677 | − | 0.534644i | ||||
\(782\) | −6.04110 | − | 2.29195i | −0.216029 | − | 0.0819601i | ||||
\(783\) | 32.1518i | 1.14901i | ||||||||
\(784\) | 16.1024 | + | 22.9066i | 0.575086 | + | 0.818093i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −2.68889 | + | 7.08734i | −0.0959097 | + | 0.252797i | ||||
\(787\) | 26.4152 | − | 15.2508i | 0.941600 | − | 0.543633i | 0.0511385 | − | 0.998692i | \(-0.483715\pi\) |
0.890462 | + | 0.455059i | \(0.150382\pi\) | |||||||
\(788\) | 12.3237 | − | 13.9035i | 0.439012 | − | 0.495292i | ||||
\(789\) | 2.49153 | + | 1.43849i | 0.0887009 | + | 0.0512115i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −0.906381 | − | 3.60694i | −0.0322272 | − | 0.128248i | ||||
\(792\) | −2.19355 | + | 1.15021i | −0.0779444 | + | 0.0408709i | ||||
\(793\) | −0.0583903 | − | 0.0337117i | −0.00207350 | − | 0.00119714i | ||||
\(794\) | 42.6568 | − | 34.8193i | 1.51383 | − | 1.23569i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −6.03199 | + | 29.5088i | −0.213798 | + | 1.04591i | ||||
\(797\) | −46.7505 | −1.65599 | −0.827995 | − | 0.560736i | \(-0.810518\pi\) | ||||
−0.827995 | + | 0.560736i | \(0.810518\pi\) | |||||||
\(798\) | 3.55455 | − | 30.3922i | 0.125830 | − | 1.07587i | ||||
\(799\) | − | 15.0041i | − | 0.530808i | ||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 2.99051 | − | 1.72657i | 0.105664 | − | 0.0610054i | ||||
\(802\) | 9.79106 | − | 7.99210i | 0.345734 | − | 0.282211i | ||||
\(803\) | 12.2263 | + | 7.05887i | 0.431458 | + | 0.249102i | ||||
\(804\) | −5.73469 | − | 17.1919i | −0.202247 | − | 0.606311i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 1.62361 | + | 9.99842i | 0.0571893 | + | 0.352179i | ||||
\(807\) | 21.8001 | − | 37.7589i | 0.767401 | − | 1.32918i | ||||
\(808\) | −16.7503 | − | 10.6011i | −0.589273 | − | 0.372945i | ||||
\(809\) | −4.64834 | − | 8.05116i | −0.163427 | − | 0.283064i | 0.772669 | − | 0.634810i | \(-0.218921\pi\) |
−0.936096 | + | 0.351746i | \(0.885588\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 21.7915 | 0.765204 | 0.382602 | − | 0.923913i | \(-0.375028\pi\) | ||||
0.382602 | + | 0.923913i | \(0.375028\pi\) | |||||||
\(812\) | −30.1843 | − | 15.6776i | −1.05926 | − | 0.550176i | ||||
\(813\) | 4.93734i | 0.173160i | ||||||||
\(814\) | −24.2156 | − | 9.18724i | −0.848756 | − | 0.322013i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −6.23480 | + | 14.6132i | −0.218262 | + | 0.511566i | ||||
\(817\) | 28.2535 | − | 48.9364i | 0.988463 | − | 1.71207i | ||||
\(818\) | 35.2481 | − | 5.72383i | 1.23242 | − | 0.200129i | ||||
\(819\) | −0.446872 | + | 1.56934i | −0.0156150 | + | 0.0548373i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 8.02542 | − | 13.9004i | 0.280089 | − | 0.485129i | −0.691317 | − | 0.722551i | \(-0.742969\pi\) |
0.971406 | + | 0.237423i | \(0.0763026\pi\) | |||||||
\(822\) | −29.6939 | + | 24.2381i | −1.03569 | + | 0.845401i | ||||
\(823\) | −26.2740 | − | 45.5079i | −0.915854 | − | 1.58631i | −0.805646 | − | 0.592397i | \(-0.798182\pi\) |
−0.110208 | − | 0.993909i | \(-0.535152\pi\) | |||||||
\(824\) | 0.236812 | − | 5.82190i | 0.00824974 | − | 0.202816i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 20.7153 | + | 48.0329i | 0.720777 | + | 1.67128i | ||||
\(827\) | 5.19538 | 0.180661 | 0.0903305 | − | 0.995912i | \(-0.471208\pi\) | ||||
0.0903305 | + | 0.995912i | \(0.471208\pi\) | |||||||
\(828\) | −0.170603 | + | 0.834600i | −0.00592887 | + | 0.0290044i | ||||
\(829\) | 48.5004 | − | 28.0017i | 1.68449 | − | 0.972539i | 0.725873 | − | 0.687828i | \(-0.241436\pi\) |
0.958614 | − | 0.284710i | \(-0.0918975\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −17.2168 | + | 29.8203i | −0.597243 | + | 1.03446i | ||||
\(832\) | 13.5693 | − | 19.6269i | 0.470431 | − | 0.680440i | ||||
\(833\) | −13.1972 | − | 8.17901i | −0.457257 | − | 0.283386i | ||||
\(834\) | 17.0668 | − | 2.77143i | 0.590976 | − | 0.0959668i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 25.6572 | − | 28.9463i | 0.887372 | − | 1.00113i | ||||
\(837\) | 10.4026 | − | 6.00596i | 0.359567 | − | 0.207596i | ||||
\(838\) | 2.03126 | + | 0.770646i | 0.0701686 | + | 0.0266215i | ||||
\(839\) | 40.5836 | 1.40110 | 0.700551 | − | 0.713603i | \(-0.252938\pi\) | ||||
0.700551 | + | 0.713603i | \(0.252938\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 12.3171 | 0.424729 | ||||||||
\(842\) | −20.8757 | − | 7.92010i | −0.719423 | − | 0.272945i | ||||
\(843\) | −4.05880 | + | 2.34335i | −0.139793 | + | 0.0807092i | ||||
\(844\) | 30.4557 | − | 34.3600i | 1.04833 | − | 1.18272i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −1.95258 | + | 0.317073i | −0.0671311 | + | 0.0109012i | ||||
\(847\) | 5.02475 | − | 17.6461i | 0.172652 | − | 0.606328i | ||||
\(848\) | 30.8270 | + | 41.0663i | 1.05860 | + | 1.41022i | ||||
\(849\) | −22.1538 | + | 38.3714i | −0.760315 | + | 1.31690i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −7.71435 | + | 4.45388i | −0.264445 | + | 0.152677i | ||||
\(852\) | −2.92211 | + | 14.2951i | −0.100110 | + | 0.489742i | ||||
\(853\) | 4.27019 | 0.146208 | 0.0731042 | − | 0.997324i | \(-0.476709\pi\) | ||||
0.0731042 | + | 0.997324i | \(0.476709\pi\) | |||||||
\(854\) | −0.0678416 | − | 0.0505137i | −0.00232149 | − | 0.00172854i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 12.8038 | + | 0.520809i | 0.437626 | + | 0.0178009i | ||||
\(857\) | 14.3624 | + | 24.8764i | 0.490610 | + | 0.849761i | 0.999942 | − | 0.0108089i | \(-0.00344065\pi\) |
−0.509332 | + | 0.860570i | \(0.670107\pi\) | |||||||
\(858\) | −24.7810 | + | 20.2278i | −0.846008 | + | 0.690567i | ||||
\(859\) | −2.16348 | + | 3.74726i | −0.0738170 | + | 0.127855i | −0.900571 | − | 0.434709i | \(-0.856851\pi\) |
0.826754 | + | 0.562563i | \(0.190185\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 16.1099 | + | 16.6209i | 0.549025 | + | 0.566437i | ||||
\(862\) | 16.7236 | − | 2.71569i | 0.569608 | − | 0.0924968i | ||||
\(863\) | 7.26780 | − | 12.5882i | 0.247399 | − | 0.428507i | −0.715405 | − | 0.698710i | \(-0.753758\pi\) |
0.962803 | + | 0.270203i | \(0.0870909\pi\) | |||||||
\(864\) | −27.4689 | − | 6.78877i | −0.934510 | − | 0.230959i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 32.0236 | + | 12.1495i | 1.08821 | + | 0.412858i | ||||
\(867\) | 21.6329i | 0.734690i | ||||||||
\(868\) | 0.565983 | + | 12.6946i | 0.0192107 | + | 0.430884i | ||||
\(869\) | 15.3613 | 0.521097 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −7.54631 | − | 13.0706i | −0.255697 | − | 0.442880i | ||||
\(872\) | 18.0693 | − | 28.5506i | 0.611905 | − | 0.966844i | ||||
\(873\) | −1.24271 | + | 2.15243i | −0.0420592 | + | 0.0728487i | ||||
\(874\) | −2.13237 | − | 13.1314i | −0.0721287 | − | 0.444178i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −3.77798 | − | 11.3259i | −0.127646 | − | 0.382667i | ||||
\(877\) | −1.85356 | − | 1.07015i | −0.0625902 | − | 0.0361365i | 0.468378 | − | 0.883528i | \(-0.344838\pi\) |
−0.530969 | + | 0.847392i | \(0.678172\pi\) | |||||||
\(878\) | −28.4438 | + | 23.2177i | −0.959933 | + | 0.783560i | ||||
\(879\) | 21.7025 | − | 12.5299i | 0.732006 | − | 0.422624i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 55.7208i | 1.87728i | 0.344897 | + | 0.938640i | \(0.387914\pi\) | ||||
−0.344897 | + | 0.938640i | \(0.612086\pi\) | |||||||
\(882\) | −0.785497 | + | 1.89028i | −0.0264490 | + | 0.0636490i | ||||
\(883\) | 17.6938 | 0.595444 | 0.297722 | − | 0.954653i | \(-0.403773\pi\) | ||||
0.297722 | + | 0.954653i | \(0.403773\pi\) | |||||||
\(884\) | −2.64980 | + | 12.9630i | −0.0891225 | + | 0.435992i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 19.6507 | − | 16.0402i | 0.660177 | − | 0.538880i | ||||
\(887\) | 22.9419 | + | 13.2455i | 0.770315 | + | 0.444742i | 0.832987 | − | 0.553293i | \(-0.186629\pi\) |
−0.0626720 | + | 0.998034i | \(0.519962\pi\) | |||||||
\(888\) | 10.1717 | + | 19.3984i | 0.341342 | + | 0.650968i | ||||
\(889\) | 38.0880 | − | 9.57105i | 1.27743 | − | 0.321003i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 35.1264 | + | 20.2802i | 1.17678 | + | 0.679414i | ||||
\(892\) | 16.2283 | − | 18.3087i | 0.543364 | − | 0.613020i | ||||
\(893\) | 26.7540 | − | 15.4464i | 0.895288 | − | 0.516895i | ||||
\(894\) | 13.3191 | − | 35.1064i | 0.445458 | − | 1.17413i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 19.7675 | − | 22.4777i | 0.660386 | − | 0.750926i | ||||
\(897\) | 11.0018i | 0.367341i | ||||||||
\(898\) | −5.47998 | − | 2.07907i | −0.182869 | − | 0.0693795i | ||||
\(899\) | −7.71804 | − | 13.3680i | −0.257411 | − | 0.445849i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −24.6588 | − | 14.2368i | −0.821503 | − | 0.474295i | ||||
\(902\) | 4.69000 | + | 28.8816i | 0.156160 | + | 0.961653i | ||||
\(903\) | −42.0949 | + | 40.8009i | −1.40083 | + | 1.35777i | ||||
\(904\) | −3.52115 | + | 1.84635i | −0.117112 | + | 0.0614087i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −25.0513 | + | 20.4485i | −0.832274 | + | 0.679357i | ||||
\(907\) | −19.7918 | − | 34.2804i | −0.657175 | − | 1.13826i | −0.981344 | − | 0.192262i | \(-0.938418\pi\) |
0.324168 | − | 0.945999i | \(-0.394916\pi\) | |||||||
\(908\) | −31.4836 | − | 6.43567i | −1.04482 | − | 0.213575i | ||||
\(909\) | − | 1.44920i | − | 0.0480670i | ||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 0.579839i | 0.0192109i | 0.999954 | + | 0.00960546i | \(0.00305756\pi\) | ||||
−0.999954 | + | 0.00960546i | \(0.996942\pi\) | |||||||
\(912\) | −32.4756 | + | 3.92670i | −1.07537 | + | 0.130026i | ||||
\(913\) | −24.8534 | − | 43.0474i | −0.822528 | − | 1.42466i | ||||
\(914\) | 6.16380 | + | 7.55122i | 0.203880 | + | 0.249772i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −11.2013 | − | 33.5801i | −0.370101 | − | 1.10952i | ||||
\(917\) | −2.16880 | + | 7.61650i | −0.0716201 | + | 0.251519i | ||||
\(918\) | 15.4871 | − | 2.51490i | 0.511151 | − | 0.0830042i | ||||
\(919\) | 3.25111 | + | 1.87703i | 0.107244 | + | 0.0619174i | 0.552663 | − | 0.833405i | \(-0.313612\pi\) |
−0.445419 | + | 0.895322i | \(0.646945\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 23.4924 | + | 40.6900i | 0.774101 | + | 1.34078i | ||||
\(922\) | 5.23054 | − | 13.7866i | 0.172259 | − | 0.454037i | ||||
\(923\) | 12.1509i | 0.399951i | ||||||||
\(924\) | −33.8248 | + | 21.5926i | −1.11275 | + | 0.710345i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 13.0443 | + | 4.94891i | 0.428661 | + | 0.162631i | ||||
\(927\) | 0.368903 | − | 0.212986i | 0.0121164 | − | 0.00699538i | ||||
\(928\) | −8.72401 | + | 35.2993i | −0.286380 | + | 1.15876i | ||||
\(929\) | 22.4184 | + | 12.9433i | 0.735525 | + | 0.424655i | 0.820440 | − | 0.571733i | \(-0.193729\pi\) |
−0.0849153 | + | 0.996388i | \(0.527062\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.997813 | − | 31.9522i | 0.0327020 | − | 1.04719i | ||||
\(932\) | −5.04270 | − | 15.1174i | −0.165179 | − | 0.495186i | ||||
\(933\) | −11.5677 | − | 6.67860i | −0.378709 | − | 0.218648i | ||||
\(934\) | 3.48334 | + | 4.26741i | 0.113978 | + | 0.139634i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 1.74295 | + | 0.0708963i | 0.0569701 | + | 0.00231732i | ||||
\(937\) | 53.4145 | 1.74497 | 0.872487 | − | 0.488636i | \(-0.162506\pi\) | ||||
0.872487 | + | 0.488636i | \(0.162506\pi\) | |||||||
\(938\) | −7.49796 | − | 17.3856i | −0.244817 | − | 0.567661i | ||||
\(939\) | − | 7.62571i | − | 0.248856i | ||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 28.8728 | − | 16.6697i | 0.941225 | − | 0.543417i | 0.0508811 | − | 0.998705i | \(-0.483797\pi\) |
0.890344 | + | 0.455288i | \(0.150464\pi\) | |||||||
\(942\) | −19.3269 | − | 23.6772i | −0.629705 | − | 0.771446i | ||||
\(943\) | 8.71518 | + | 5.03171i | 0.283805 | + | 0.163855i | ||||
\(944\) | 44.7226 | − | 33.5717i | 1.45560 | − | 1.09267i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −73.1472 | + | 11.8781i | −2.37822 | + | 0.386192i | ||||
\(947\) | −19.4148 | + | 33.6274i | −0.630896 | + | 1.09274i | 0.356473 | + | 0.934306i | \(0.383979\pi\) |
−0.987369 | + | 0.158438i | \(0.949354\pi\) | |||||||
\(948\) | −9.72179 | − | 8.61712i | −0.315749 | − | 0.279871i | ||||
\(949\) | −4.97146 | − | 8.61083i | −0.161381 | − | 0.279519i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 10.8236 | 0.350979 | ||||||||
\(952\) | −5.19070 | + | 15.7657i | −0.168232 | + | 0.510969i | ||||
\(953\) | 14.1526i | 0.458447i | 0.973374 | + | 0.229224i | \(0.0736187\pi\) | ||||
−0.973374 | + | 0.229224i | \(0.926381\pi\) | |||||||
\(954\) | −1.33162 | + | 3.50986i | −0.0431127 | + | 0.113636i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 15.1029 | − | 17.0390i | 0.488462 | − | 0.551081i | ||||
\(957\) | 24.3734 | − | 42.2161i | 0.787882 | − | 1.36465i | ||||
\(958\) | 0.248177 | + | 1.52830i | 0.00801822 | + | 0.0493773i | ||||
\(959\) | −28.7542 | + | 27.8703i | −0.928522 | + | 0.899978i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 12.6165 | − | 21.8525i | 0.406985 | − | 0.704919i | ||||
\(962\) | 11.5346 | + | 14.1309i | 0.371889 | + | 0.455599i | ||||
\(963\) | 0.468410 | + | 0.811310i | 0.0150943 | + | 0.0261441i | ||||
\(964\) | −31.9479 | − | 6.53057i | −1.02897 | − | 0.210335i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −1.60326 | + | 13.7083i | −0.0515841 | + | 0.441057i | ||||
\(967\) | −10.9730 | −0.352869 | −0.176434 | − | 0.984312i | \(-0.556456\pi\) | ||||
−0.176434 | + | 0.984312i | \(0.556456\pi\) | |||||||
\(968\) | −19.5982 | − | 0.797177i | −0.629910 | − | 0.0256223i | ||||
\(969\) | 15.7089 | − | 9.06956i | 0.504644 | − | 0.291356i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 6.49830 | − | 11.2554i | 0.208540 | − | 0.361202i | −0.742715 | − | 0.669608i | \(-0.766462\pi\) |
0.951255 | + | 0.308406i | \(0.0997954\pi\) | |||||||
\(972\) | −1.35758 | − | 4.06984i | −0.0435443 | − | 0.130540i | ||||
\(973\) | 17.5190 | − | 4.40230i | 0.561632 | − | 0.141131i | ||||
\(974\) | 3.17723 | + | 19.5658i | 0.101805 | + | 0.626928i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −0.0354842 | + | 0.0831685i | −0.00113582 | + | 0.00266216i | ||||
\(977\) | −17.9462 | + | 10.3612i | −0.574148 | + | 0.331485i | −0.758805 | − | 0.651318i | \(-0.774216\pi\) |
0.184656 | + | 0.982803i | \(0.440883\pi\) | |||||||
\(978\) | −3.52974 | + | 9.30363i | −0.112869 | + | 0.297497i | ||||
\(979\) | 70.7228 | 2.26031 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 2.47014 | 0.0788654 | ||||||||
\(982\) | 6.37345 | − | 16.7990i | 0.203385 | − | 0.536079i | ||||
\(983\) | 26.4043 | − | 15.2445i | 0.842166 | − | 0.486225i | −0.0158341 | − | 0.999875i | \(-0.505040\pi\) |
0.858000 | + | 0.513650i | \(0.171707\pi\) | |||||||
\(984\) | 13.2333 | − | 20.9094i | 0.421863 | − | 0.666567i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −3.23181 | − | 19.9019i | −0.102922 | − | 0.633807i | ||||
\(987\) | −31.0835 | + | 7.81091i | −0.989400 | + | 0.248624i | ||||
\(988\) | −25.8423 | + | 8.62021i | −0.822153 | + | 0.274246i | ||||
\(989\) | −12.7436 | + | 22.0726i | −0.405223 | + | 0.701867i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 38.5713 | − | 22.2691i | 1.22526 | − | 0.707403i | 0.259223 | − | 0.965817i | \(-0.416533\pi\) |
0.966034 | + | 0.258415i | \(0.0832000\pi\) | |||||||
\(992\) | 13.0506 | − | 3.77128i | 0.414358 | − | 0.119738i | ||||
\(993\) | 52.0719 | 1.65245 | ||||||||
\(994\) | −1.77071 | + | 15.1400i | −0.0561635 | + | 0.480211i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −8.41885 | + | 41.1854i | −0.266761 | + | 1.30501i | ||||
\(997\) | 15.0714 | + | 26.1044i | 0.477315 | + | 0.826734i | 0.999662 | − | 0.0259989i | \(-0.00827663\pi\) |
−0.522347 | + | 0.852733i | \(0.674943\pi\) | |||||||
\(998\) | 6.42488 | + | 7.87107i | 0.203376 | + | 0.249154i | ||||
\(999\) | 10.8154 | − | 18.7329i | 0.342185 | − | 0.592682i |
(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 | 700.2.t.c.299.2 | 32 | ||
4.3 | odd | 2 | inner | 700.2.t.c.299.3 | 32 | ||
5.2 | odd | 4 | 700.2.p.c.551.11 | 32 | |||
5.3 | odd | 4 | 140.2.o.a.131.6 | yes | 32 | ||
5.4 | even | 2 | 700.2.t.d.299.15 | 32 | |||
7.3 | odd | 6 | 700.2.t.d.199.14 | 32 | |||
20.3 | even | 4 | 140.2.o.a.131.5 | yes | 32 | ||
20.7 | even | 4 | 700.2.p.c.551.12 | 32 | |||
20.19 | odd | 2 | 700.2.t.d.299.14 | 32 | |||
28.3 | even | 6 | 700.2.t.d.199.15 | 32 | |||
35.3 | even | 12 | 140.2.o.a.31.5 | ✓ | 32 | ||
35.13 | even | 4 | 980.2.o.f.411.6 | 32 | |||
35.17 | even | 12 | 700.2.p.c.451.12 | 32 | |||
35.18 | odd | 12 | 980.2.o.f.31.5 | 32 | |||
35.23 | odd | 12 | 980.2.g.a.391.30 | 32 | |||
35.24 | odd | 6 | inner | 700.2.t.c.199.3 | 32 | ||
35.33 | even | 12 | 980.2.g.a.391.29 | 32 | |||
140.3 | odd | 12 | 140.2.o.a.31.6 | yes | 32 | ||
140.23 | even | 12 | 980.2.g.a.391.31 | 32 | |||
140.59 | even | 6 | inner | 700.2.t.c.199.2 | 32 | ||
140.83 | odd | 4 | 980.2.o.f.411.5 | 32 | |||
140.87 | odd | 12 | 700.2.p.c.451.11 | 32 | |||
140.103 | odd | 12 | 980.2.g.a.391.32 | 32 | |||
140.123 | even | 12 | 980.2.o.f.31.6 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
140.2.o.a.31.5 | ✓ | 32 | 35.3 | even | 12 | ||
140.2.o.a.31.6 | yes | 32 | 140.3 | odd | 12 | ||
140.2.o.a.131.5 | yes | 32 | 20.3 | even | 4 | ||
140.2.o.a.131.6 | yes | 32 | 5.3 | odd | 4 | ||
700.2.p.c.451.11 | 32 | 140.87 | odd | 12 | |||
700.2.p.c.451.12 | 32 | 35.17 | even | 12 | |||
700.2.p.c.551.11 | 32 | 5.2 | odd | 4 | |||
700.2.p.c.551.12 | 32 | 20.7 | even | 4 | |||
700.2.t.c.199.2 | 32 | 140.59 | even | 6 | inner | ||
700.2.t.c.199.3 | 32 | 35.24 | odd | 6 | inner | ||
700.2.t.c.299.2 | 32 | 1.1 | even | 1 | trivial | ||
700.2.t.c.299.3 | 32 | 4.3 | odd | 2 | inner | ||
700.2.t.d.199.14 | 32 | 7.3 | odd | 6 | |||
700.2.t.d.199.15 | 32 | 28.3 | even | 6 | |||
700.2.t.d.299.14 | 32 | 20.19 | odd | 2 | |||
700.2.t.d.299.15 | 32 | 5.4 | even | 2 | |||
980.2.g.a.391.29 | 32 | 35.33 | even | 12 | |||
980.2.g.a.391.30 | 32 | 35.23 | odd | 12 | |||
980.2.g.a.391.31 | 32 | 140.23 | even | 12 | |||
980.2.g.a.391.32 | 32 | 140.103 | odd | 12 | |||
980.2.o.f.31.5 | 32 | 35.18 | odd | 12 | |||
980.2.o.f.31.6 | 32 | 140.123 | even | 12 | |||
980.2.o.f.411.5 | 32 | 140.83 | odd | 4 | |||
980.2.o.f.411.6 | 32 | 35.13 | even | 4 |