Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1071,2,Mod(613,1071)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1071, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1071.613");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1071 = 3^{2} \cdot 7 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1071.i (of order \(3\), degree \(2\), 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: | \(8.55197805648\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 10.0.5743021975227.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - 4x^{9} + 2x^{8} + 10x^{7} - 8x^{6} - 12x^{5} - 24x^{4} + 90x^{3} + 54x^{2} - 324x + 243 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 357) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 613.1 | ||
Root | \(1.66532 + 0.476133i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1071.613 |
Dual form | 1071.2.i.g.919.1 |
$q$-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 \(\left(\mathbb{Z}/1071\mathbb{Z}\right)^\times\).
\(n\) | \(190\) | \(596\) | \(766\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.24500 | − | 2.15641i | −0.880351 | − | 1.52481i | −0.850951 | − | 0.525245i | \(-0.823974\pi\) |
−0.0294001 | − | 0.999568i | \(-0.509360\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −2.10007 | + | 3.63743i | −1.05004 | + | 1.81872i | ||||
\(5\) | −1.16532 | − | 2.01840i | −0.521148 | − | 0.902654i | −0.999698 | − | 0.0245940i | \(-0.992171\pi\) |
0.478550 | − | 0.878060i | \(-0.341163\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.62628 | + | 2.08692i | −0.614675 | + | 0.788781i | ||||
\(8\) | 5.47838 | 1.93690 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.90166 | + | 5.02583i | −0.917586 | + | 1.58931i | ||||
\(11\) | −2.57387 | + | 4.45807i | −0.776050 | + | 1.34416i | 0.158152 | + | 0.987415i | \(0.449446\pi\) |
−0.934202 | + | 0.356744i | \(0.883887\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.596965 | −0.165568 | −0.0827841 | − | 0.996568i | \(-0.526381\pi\) | ||||
−0.0827841 | + | 0.996568i | \(0.526381\pi\) | |||||||
\(14\) | 6.52497 | + | 0.908700i | 1.74387 | + | 0.242860i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.62046 | − | 4.53877i | −0.655115 | − | 1.13469i | ||||
\(17\) | 0.500000 | − | 0.866025i | 0.121268 | − | 0.210042i | ||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.946522 | − | 1.63942i | −0.217147 | − | 0.376110i | 0.736788 | − | 0.676124i | \(-0.236342\pi\) |
−0.953935 | + | 0.300015i | \(0.903008\pi\) | |||||||
\(20\) | 9.78904 | 2.18890 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 12.8179 | 2.73279 | ||||||||
\(23\) | −2.07968 | − | 3.60212i | −0.433644 | − | 0.751093i | 0.563540 | − | 0.826089i | \(-0.309439\pi\) |
−0.997184 | + | 0.0749957i | \(0.976106\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.215950 | + | 0.374037i | −0.0431901 | + | 0.0748074i | ||||
\(26\) | 0.743224 | + | 1.28730i | 0.145758 | + | 0.252461i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −4.17572 | − | 10.2981i | −0.789137 | − | 1.94617i | ||||
\(29\) | 2.90140 | 0.538776 | 0.269388 | − | 0.963032i | \(-0.413179\pi\) | ||||
0.269388 | + | 0.963032i | \(0.413179\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.22053 | − | 5.57813i | 0.578425 | − | 1.00186i | −0.417235 | − | 0.908799i | \(-0.637001\pi\) |
0.995660 | − | 0.0930629i | \(-0.0296658\pi\) | |||||||
\(32\) | −1.04659 | + | 1.81275i | −0.185013 | + | 0.320453i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.49001 | −0.427033 | ||||||||
\(35\) | 6.10736 | + | 0.850541i | 1.03233 | + | 0.143768i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 4.70193 | + | 8.14397i | 0.772992 | + | 1.33886i | 0.935916 | + | 0.352222i | \(0.114574\pi\) |
−0.162925 | + | 0.986639i | \(0.552093\pi\) | |||||||
\(38\) | −2.35685 | + | 4.08218i | −0.382331 | + | 0.662217i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −6.38408 | − | 11.0575i | −1.00941 | − | 1.74835i | ||||
\(41\) | 2.09319 | 0.326901 | 0.163451 | − | 0.986552i | \(-0.447738\pi\) | ||||
0.163451 | + | 0.986552i | \(0.447738\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 11.3362 | 1.72876 | 0.864381 | − | 0.502838i | \(-0.167711\pi\) | ||||
0.864381 | + | 0.502838i | \(0.167711\pi\) | |||||||
\(44\) | −10.8106 | − | 18.7245i | −1.62976 | − | 2.82283i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −5.17843 | + | 8.96930i | −0.763518 | + | 1.32245i | ||||
\(47\) | 2.19153 | + | 3.79584i | 0.319667 | + | 0.553679i | 0.980419 | − | 0.196925i | \(-0.0630956\pi\) |
−0.660752 | + | 0.750605i | \(0.729762\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.71045 | − | 6.78781i | −0.244350 | − | 0.969687i | ||||
\(50\) | 1.07544 | 0.152090 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.25367 | − | 2.17142i | 0.173853 | − | 0.301122i | ||||
\(53\) | −5.46554 | + | 9.46659i | −0.750749 | + | 1.30034i | 0.196710 | + | 0.980462i | \(0.436974\pi\) |
−0.947460 | + | 0.319875i | \(0.896359\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 11.9975 | 1.61775 | ||||||||
\(56\) | −8.90936 | + | 11.4329i | −1.19056 | + | 1.52779i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −3.61225 | − | 6.25660i | −0.474312 | − | 0.821532i | ||||
\(59\) | 1.60603 | − | 2.78172i | 0.209087 | − | 0.362150i | −0.742340 | − | 0.670023i | \(-0.766284\pi\) |
0.951427 | + | 0.307874i | \(0.0996174\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −5.29160 | − | 9.16532i | −0.677520 | − | 1.17350i | −0.975726 | − | 0.218997i | \(-0.929721\pi\) |
0.298206 | − | 0.954502i | \(-0.403612\pi\) | |||||||
\(62\) | −16.0383 | −2.03687 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −5.26979 | −0.658724 | ||||||||
\(65\) | 0.695656 | + | 1.20491i | 0.0862855 | + | 0.149451i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 7.38448 | − | 12.7903i | 0.902158 | − | 1.56258i | 0.0774709 | − | 0.996995i | \(-0.475316\pi\) |
0.824687 | − | 0.565589i | \(-0.191351\pi\) | |||||||
\(68\) | 2.10007 | + | 3.63743i | 0.254671 | + | 0.441103i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −5.76958 | − | 14.2289i | −0.689596 | − | 1.70068i | ||||
\(71\) | 6.91028 | 0.820099 | 0.410050 | − | 0.912063i | \(-0.365511\pi\) | ||||
0.410050 | + | 0.912063i | \(0.365511\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.217019 | + | 0.375888i | −0.0254002 | + | 0.0439944i | −0.878446 | − | 0.477842i | \(-0.841419\pi\) |
0.853046 | + | 0.521836i | \(0.174753\pi\) | |||||||
\(74\) | 11.7078 | − | 20.2786i | 1.36101 | − | 2.35734i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 7.95106 | 0.912049 | ||||||||
\(77\) | −5.11780 | − | 12.6215i | −0.583228 | − | 1.43835i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.07982 | + | 5.33441i | 0.346507 | + | 0.600168i | 0.985626 | − | 0.168939i | \(-0.0540342\pi\) |
−0.639119 | + | 0.769108i | \(0.720701\pi\) | |||||||
\(80\) | −6.10736 | + | 10.5783i | −0.682824 | + | 1.18269i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −2.60603 | − | 4.51377i | −0.287788 | − | 0.498463i | ||||
\(83\) | 5.17802 | 0.568362 | 0.284181 | − | 0.958771i | \(-0.408278\pi\) | ||||
0.284181 | + | 0.958771i | \(0.408278\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.33064 | −0.252794 | ||||||||
\(86\) | −14.1137 | − | 24.4456i | −1.52192 | − | 2.63604i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −14.1006 | + | 24.4230i | −1.50313 | + | 2.60350i | ||||
\(89\) | 0.197342 | + | 0.341806i | 0.0209182 | + | 0.0362313i | 0.876295 | − | 0.481775i | \(-0.160008\pi\) |
−0.855377 | + | 0.518006i | \(0.826674\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.970830 | − | 1.24582i | 0.101771 | − | 0.130597i | ||||
\(92\) | 17.4699 | 1.82137 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 5.45692 | − | 9.45166i | 0.562838 | − | 0.974865i | ||||
\(95\) | −2.20601 | + | 3.82091i | −0.226331 | + | 0.392018i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −17.4653 | −1.77334 | −0.886668 | − | 0.462407i | \(-0.846986\pi\) | ||||
−0.886668 | + | 0.462407i | \(0.846986\pi\) | |||||||
\(98\) | −12.5078 | + | 12.1393i | −1.26348 | + | 1.22625i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.907023 | − | 1.57101i | −0.0907023 | − | 0.157101i | ||||
\(101\) | 7.58116 | − | 13.1310i | 0.754353 | − | 1.30658i | −0.191342 | − | 0.981523i | \(-0.561284\pi\) |
0.945695 | − | 0.325055i | \(-0.105383\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.89030 | + | 11.9343i | 0.678921 | + | 1.17593i | 0.975306 | + | 0.220857i | \(0.0708855\pi\) |
−0.296385 | + | 0.955069i | \(0.595781\pi\) | |||||||
\(104\) | −3.27040 | −0.320689 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 27.2185 | 2.64369 | ||||||||
\(107\) | −0.440707 | − | 0.763327i | −0.0426048 | − | 0.0737936i | 0.843937 | − | 0.536443i | \(-0.180232\pi\) |
−0.886541 | + | 0.462649i | \(0.846899\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −6.94356 | + | 12.0266i | −0.665072 | + | 1.15194i | 0.314194 | + | 0.949359i | \(0.398266\pi\) |
−0.979266 | + | 0.202580i | \(0.935067\pi\) | |||||||
\(110\) | −14.9370 | − | 25.8716i | −1.42419 | − | 2.46676i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 13.7336 | + | 1.91261i | 1.29771 | + | 0.180725i | ||||
\(113\) | 16.4092 | 1.54365 | 0.771823 | − | 0.635838i | \(-0.219345\pi\) | ||||
0.771823 | + | 0.635838i | \(0.219345\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −4.84700 | + | 8.39525i | −0.451985 | + | 0.782861i | ||||
\(116\) | −6.09314 | + | 10.5536i | −0.565734 | + | 0.979880i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −7.99805 | −0.736280 | ||||||||
\(119\) | 0.994185 | + | 2.45186i | 0.0911368 | + | 0.224761i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −7.74959 | − | 13.4227i | −0.704508 | − | 1.22024i | ||||
\(122\) | −13.1761 | + | 22.8217i | −1.19291 | + | 2.06618i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 13.5267 | + | 23.4289i | 1.21473 | + | 2.10398i | ||||
\(125\) | −10.6466 | −0.952262 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 5.62184 | 0.498858 | 0.249429 | − | 0.968393i | \(-0.419757\pi\) | ||||
0.249429 | + | 0.968393i | \(0.419757\pi\) | |||||||
\(128\) | 8.65410 | + | 14.9893i | 0.764922 | + | 1.32488i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1.73219 | − | 3.00024i | 0.151923 | − | 0.263138i | ||||
\(131\) | 4.22187 | + | 7.31249i | 0.368866 | + | 0.638895i | 0.989389 | − | 0.145294i | \(-0.0464127\pi\) |
−0.620522 | + | 0.784189i | \(0.713079\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 4.96065 | + | 0.690844i | 0.430143 | + | 0.0599038i | ||||
\(134\) | −36.7749 | −3.17686 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.73919 | − | 4.74442i | 0.234884 | − | 0.406830i | ||||
\(137\) | −0.435865 | + | 0.754941i | −0.0372385 | + | 0.0644990i | −0.884044 | − | 0.467404i | \(-0.845189\pi\) |
0.846805 | + | 0.531903i | \(0.178523\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −12.3738 | −1.04954 | −0.524768 | − | 0.851245i | \(-0.675848\pi\) | ||||
−0.524768 | + | 0.851245i | \(0.675848\pi\) | |||||||
\(140\) | −15.9197 | + | 20.4289i | −1.34546 | + | 1.72656i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −8.60333 | − | 14.9014i | −0.721975 | − | 1.25050i | ||||
\(143\) | 1.53651 | − | 2.66131i | 0.128489 | − | 0.222550i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −3.38106 | − | 5.85617i | −0.280782 | − | 0.486328i | ||||
\(146\) | 1.08076 | 0.0894442 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −39.4975 | −3.24668 | ||||||||
\(149\) | −2.56134 | − | 4.43637i | −0.209833 | − | 0.363442i | 0.741829 | − | 0.670589i | \(-0.233959\pi\) |
−0.951662 | + | 0.307148i | \(0.900625\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.86857 | − | 3.23646i | 0.152062 | − | 0.263380i | −0.779923 | − | 0.625875i | \(-0.784742\pi\) |
0.931985 | + | 0.362496i | \(0.118075\pi\) | |||||||
\(152\) | −5.18541 | − | 8.98139i | −0.420592 | − | 0.728487i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −20.8455 | + | 26.7499i | −1.67978 | + | 2.15557i | ||||
\(155\) | −15.0118 | −1.20578 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.80862 | − | 3.13261i | 0.144343 | − | 0.250010i | −0.784785 | − | 0.619769i | \(-0.787226\pi\) |
0.929128 | + | 0.369759i | \(0.120560\pi\) | |||||||
\(158\) | 7.66879 | − | 13.2827i | 0.610096 | − | 1.05672i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 4.87848 | 0.385677 | ||||||||
\(161\) | 10.8995 | + | 1.51791i | 0.858998 | + | 0.119628i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.86964 | + | 4.97037i | 0.224768 | + | 0.389309i | 0.956250 | − | 0.292552i | \(-0.0945043\pi\) |
−0.731482 | + | 0.681861i | \(0.761171\pi\) | |||||||
\(164\) | −4.39585 | + | 7.61383i | −0.343258 | + | 0.594540i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −6.44666 | − | 11.1659i | −0.500358 | − | 0.866646i | ||||
\(167\) | 25.0743 | 1.94031 | 0.970154 | − | 0.242490i | \(-0.0779641\pi\) | ||||
0.970154 | + | 0.242490i | \(0.0779641\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.6436 | −0.972587 | ||||||||
\(170\) | 2.90166 | + | 5.02583i | 0.222547 | + | 0.385463i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −23.8069 | + | 41.2348i | −1.81526 | + | 3.14413i | ||||
\(173\) | 8.26656 | + | 14.3181i | 0.628495 | + | 1.08858i | 0.987854 | + | 0.155386i | \(0.0496620\pi\) |
−0.359359 | + | 0.933199i | \(0.617005\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.429389 | − | 1.05896i | −0.0324588 | − | 0.0800497i | ||||
\(176\) | 26.9789 | 2.03361 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0.491382 | − | 0.851099i | 0.0368307 | − | 0.0637926i | ||||
\(179\) | 2.28512 | − | 3.95794i | 0.170798 | − | 0.295830i | −0.767901 | − | 0.640568i | \(-0.778699\pi\) |
0.938699 | + | 0.344738i | \(0.112032\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 23.3136 | 1.73289 | 0.866444 | − | 0.499275i | \(-0.166400\pi\) | ||||
0.866444 | + | 0.499275i | \(0.166400\pi\) | |||||||
\(182\) | −3.89518 | − | 0.542462i | −0.288730 | − | 0.0402099i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −11.3933 | − | 19.7338i | −0.839924 | − | 1.45479i | ||||
\(185\) | 10.9585 | − | 18.9807i | 0.805686 | − | 1.39549i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 2.57387 | + | 4.45807i | 0.188220 | + | 0.326006i | ||||
\(188\) | −18.4095 | −1.34265 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 10.9859 | 0.797005 | ||||||||
\(191\) | 9.13188 | + | 15.8169i | 0.660760 | + | 1.14447i | 0.980416 | + | 0.196936i | \(0.0630991\pi\) |
−0.319657 | + | 0.947533i | \(0.603568\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 0.0449554 | − | 0.0778650i | 0.00323596 | − | 0.00560484i | −0.864403 | − | 0.502800i | \(-0.832303\pi\) |
0.867639 | + | 0.497195i | \(0.165637\pi\) | |||||||
\(194\) | 21.7444 | + | 37.6624i | 1.56116 | + | 2.70401i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 28.2823 | + | 8.03326i | 2.02016 | + | 0.573804i | ||||
\(197\) | −4.49561 | −0.320299 | −0.160150 | − | 0.987093i | \(-0.551198\pi\) | ||||
−0.160150 | + | 0.987093i | \(0.551198\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 7.16288 | − | 12.4065i | 0.507763 | − | 0.879471i | −0.492197 | − | 0.870484i | \(-0.663806\pi\) |
0.999960 | − | 0.00898737i | \(-0.00286081\pi\) | |||||||
\(200\) | −1.18306 | + | 2.04912i | −0.0836548 | + | 0.144894i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −37.7543 | −2.65638 | ||||||||
\(203\) | −4.71847 | + | 6.05497i | −0.331172 | + | 0.424976i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.43924 | − | 4.22489i | −0.170364 | − | 0.295079i | ||||
\(206\) | 17.1569 | − | 29.7166i | 1.19538 | − | 2.07046i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 1.56432 | + | 2.70949i | 0.108466 | + | 0.187869i | ||||
\(209\) | 9.74489 | 0.674068 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 17.5551 | 1.20854 | 0.604270 | − | 0.796780i | \(-0.293465\pi\) | ||||
0.604270 | + | 0.796780i | \(0.293465\pi\) | |||||||
\(212\) | −22.9560 | − | 39.7610i | −1.57663 | − | 2.73080i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −1.09736 | + | 1.90069i | −0.0750143 | + | 0.129929i | ||||
\(215\) | −13.2104 | − | 22.8810i | −0.900940 | − | 1.56047i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 6.40361 | + | 15.7926i | 0.434706 | + | 1.07207i | ||||
\(218\) | 34.5790 | 2.34199 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −25.1957 | + | 43.6402i | −1.69869 | + | 2.94222i | ||||
\(221\) | −0.298482 | + | 0.516987i | −0.0200781 | + | 0.0347763i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 24.8716 | 1.66553 | 0.832764 | − | 0.553628i | \(-0.186757\pi\) | ||||
0.832764 | + | 0.553628i | \(0.186757\pi\) | |||||||
\(224\) | −2.08102 | − | 5.13220i | −0.139044 | − | 0.342909i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −20.4295 | − | 35.3849i | −1.35895 | − | 2.35377i | ||||
\(227\) | −4.16368 | + | 7.21171i | −0.276353 | + | 0.478658i | −0.970476 | − | 0.241199i | \(-0.922459\pi\) |
0.694122 | + | 0.719857i | \(0.255793\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −8.51284 | − | 14.7447i | −0.562544 | − | 0.974355i | −0.997273 | − | 0.0737941i | \(-0.976489\pi\) |
0.434729 | − | 0.900561i | \(-0.356844\pi\) | |||||||
\(230\) | 24.1381 | 1.59162 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 15.8949 | 1.04355 | ||||||||
\(233\) | −7.69984 | − | 13.3365i | −0.504433 | − | 0.873704i | −0.999987 | − | 0.00512668i | \(-0.998368\pi\) |
0.495554 | − | 0.868577i | \(-0.334965\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 5.10767 | − | 8.84674i | 0.333188 | − | 0.577098i | ||||
\(236\) | 6.74555 | + | 11.6836i | 0.439098 | + | 0.760540i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 4.04944 | − | 5.19644i | 0.262486 | − | 0.336835i | ||||
\(239\) | −12.0954 | −0.782388 | −0.391194 | − | 0.920308i | \(-0.627938\pi\) | ||||
−0.391194 | + | 0.920308i | \(0.627938\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −7.39732 | + | 12.8125i | −0.476503 | + | 0.825328i | −0.999638 | − | 0.0269222i | \(-0.991429\pi\) |
0.523134 | + | 0.852250i | \(0.324763\pi\) | |||||||
\(242\) | −19.2965 | + | 33.4226i | −1.24043 | + | 2.14849i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 44.4510 | 2.84568 | ||||||||
\(245\) | −11.7073 | + | 11.3623i | −0.747950 | + | 0.725914i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.565040 | + | 0.978678i | 0.0359527 | + | 0.0622718i | ||||
\(248\) | 17.6433 | − | 30.5591i | 1.12035 | − | 1.94050i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 13.2551 | + | 22.9585i | 0.838325 | + | 1.45202i | ||||
\(251\) | 11.4881 | 0.725121 | 0.362560 | − | 0.931960i | \(-0.381903\pi\) | ||||
0.362560 | + | 0.931960i | \(0.381903\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 21.4113 | 1.34612 | ||||||||
\(254\) | −6.99922 | − | 12.1230i | −0.439170 | − | 0.760664i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 16.2790 | − | 28.1960i | 1.01744 | − | 1.76225i | ||||
\(257\) | 3.92761 | + | 6.80282i | 0.244997 | + | 0.424348i | 0.962131 | − | 0.272588i | \(-0.0878795\pi\) |
−0.717133 | + | 0.696936i | \(0.754546\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −24.6424 | − | 3.43183i | −1.53121 | − | 0.213243i | ||||
\(260\) | −5.84371 | −0.362412 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 10.5125 | − | 18.2082i | 0.649464 | − | 1.12490i | ||||
\(263\) | 7.82870 | − | 13.5597i | 0.482738 | − | 0.836127i | −0.517065 | − | 0.855946i | \(-0.672976\pi\) |
0.999804 | + | 0.0198187i | \(0.00630889\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 25.4764 | 1.56501 | ||||||||
\(266\) | −4.68629 | − | 11.5573i | −0.287335 | − | 0.708624i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 31.0159 | + | 53.7211i | 1.89460 | + | 3.28154i | ||||
\(269\) | 14.3835 | − | 24.9129i | 0.876975 | − | 1.51897i | 0.0223313 | − | 0.999751i | \(-0.492891\pi\) |
0.854644 | − | 0.519215i | \(-0.173776\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 2.43463 | + | 4.21690i | 0.147893 | + | 0.256158i | 0.930449 | − | 0.366423i | \(-0.119418\pi\) |
−0.782556 | + | 0.622581i | \(0.786084\pi\) | |||||||
\(272\) | −5.24092 | −0.317778 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 2.17062 | 0.131132 | ||||||||
\(275\) | −1.11166 | − | 1.92544i | −0.0670353 | − | 0.116109i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −9.62936 | + | 16.6785i | −0.578572 | + | 1.00212i | 0.417071 | + | 0.908874i | \(0.363057\pi\) |
−0.995643 | + | 0.0932428i | \(0.970277\pi\) | |||||||
\(278\) | 15.4055 | + | 26.6831i | 0.923960 | + | 1.60035i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 33.4584 | + | 4.65959i | 1.99952 | + | 0.278464i | ||||
\(281\) | −14.6294 | −0.872716 | −0.436358 | − | 0.899773i | \(-0.643732\pi\) | ||||
−0.436358 | + | 0.899773i | \(0.643732\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −5.99015 | + | 10.3752i | −0.356078 | + | 0.616744i | −0.987302 | − | 0.158856i | \(-0.949219\pi\) |
0.631224 | + | 0.775600i | \(0.282553\pi\) | |||||||
\(284\) | −14.5121 | + | 25.1357i | −0.861134 | + | 1.49153i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −7.65184 | −0.452463 | ||||||||
\(287\) | −3.40410 | + | 4.36831i | −0.200938 | + | 0.257853i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −0.500000 | − | 0.866025i | −0.0294118 | − | 0.0509427i | ||||
\(290\) | −8.41887 | + | 14.5819i | −0.494373 | + | 0.856279i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −0.911511 | − | 1.57878i | −0.0533422 | − | 0.0923913i | ||||
\(293\) | 7.08802 | 0.414087 | 0.207043 | − | 0.978332i | \(-0.433616\pi\) | ||||
0.207043 | + | 0.978332i | \(0.433616\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −7.48616 | −0.435861 | ||||||||
\(296\) | 25.7589 | + | 44.6158i | 1.49721 | + | 2.59324i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −6.37776 | + | 11.0466i | −0.369454 | + | 0.639912i | ||||
\(299\) | 1.24150 | + | 2.15034i | 0.0717976 | + | 0.124357i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −18.4359 | + | 23.6578i | −1.06263 | + | 1.36361i | ||||
\(302\) | −9.30553 | −0.535473 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −4.96065 | + | 8.59210i | −0.284513 | + | 0.492791i | ||||
\(305\) | −12.3328 | + | 21.3611i | −0.706176 | + | 1.22313i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 30.7472 | 1.75484 | 0.877418 | − | 0.479726i | \(-0.159264\pi\) | ||||
0.877418 | + | 0.479726i | \(0.159264\pi\) | |||||||
\(308\) | 56.6576 | + | 7.89042i | 3.22837 | + | 0.449598i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 18.6898 | + | 32.3717i | 1.06151 | + | 1.83859i | ||||
\(311\) | 16.4415 | − | 28.4776i | 0.932313 | − | 1.61481i | 0.152957 | − | 0.988233i | \(-0.451120\pi\) |
0.779356 | − | 0.626581i | \(-0.215546\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1.17705 | + | 2.03871i | 0.0665306 | + | 0.115234i | 0.897372 | − | 0.441275i | \(-0.145474\pi\) |
−0.830841 | + | 0.556509i | \(0.812140\pi\) | |||||||
\(314\) | −9.00694 | −0.508291 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −25.8714 | −1.45538 | ||||||||
\(317\) | 15.2899 | + | 26.4828i | 0.858765 | + | 1.48742i | 0.873108 | + | 0.487527i | \(0.162101\pi\) |
−0.0143426 | + | 0.999897i | \(0.504566\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −7.46781 | + | 12.9346i | −0.418117 | + | 0.724200i | ||||
\(320\) | 6.14100 | + | 10.6365i | 0.343292 | + | 0.594600i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −10.2966 | − | 25.3935i | −0.573809 | − | 1.41513i | ||||
\(323\) | −1.89304 | −0.105332 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.128915 | − | 0.223287i | 0.00715090 | − | 0.0123857i | ||||
\(326\) | 7.14543 | − | 12.3763i | 0.395749 | − | 0.685457i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 11.4673 | 0.633175 | ||||||||
\(329\) | −11.4856 | − | 1.59954i | −0.633223 | − | 0.0881857i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2.00378 | + | 3.47065i | 0.110138 | + | 0.190764i | 0.915826 | − | 0.401576i | \(-0.131537\pi\) |
−0.805688 | + | 0.592340i | \(0.798204\pi\) | |||||||
\(332\) | −10.8742 | + | 18.8347i | −0.596801 | + | 1.03369i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −31.2176 | − | 54.0705i | −1.70815 | − | 2.95861i | ||||
\(335\) | −34.4212 | −1.88063 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −23.1664 | −1.26195 | −0.630977 | − | 0.775801i | \(-0.717346\pi\) | ||||
−0.630977 | + | 0.775801i | \(0.717346\pi\) | |||||||
\(338\) | 15.7414 | + | 27.2649i | 0.856218 | + | 1.48301i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 4.89452 | − | 8.47756i | 0.265443 | − | 0.459760i | ||||
\(341\) | 16.5785 | + | 28.7147i | 0.897774 | + | 1.55499i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 16.9473 | + | 7.46930i | 0.915066 | + | 0.403304i | ||||
\(344\) | 62.1043 | 3.34844 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 20.5838 | − | 35.6522i | 1.10659 | − | 1.91667i | ||||
\(347\) | −2.95625 | + | 5.12037i | −0.158700 | + | 0.274876i | −0.934400 | − | 0.356225i | \(-0.884063\pi\) |
0.775700 | + | 0.631101i | \(0.217397\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 26.4483 | 1.41575 | 0.707874 | − | 0.706339i | \(-0.249655\pi\) | ||||
0.707874 | + | 0.706339i | \(0.249655\pi\) | |||||||
\(350\) | −1.74896 | + | 2.24435i | −0.0934857 | + | 0.119965i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −5.38759 | − | 9.33158i | −0.287160 | − | 0.497375i | ||||
\(353\) | −2.16542 | + | 3.75061i | −0.115254 | + | 0.199625i | −0.917881 | − | 0.396856i | \(-0.870101\pi\) |
0.802628 | + | 0.596481i | \(0.203435\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −8.05270 | − | 13.9477i | −0.427393 | − | 0.740266i | ||||
\(356\) | −1.65773 | −0.0878593 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −11.3799 | −0.601448 | ||||||||
\(359\) | 0.698715 | + | 1.21021i | 0.0368768 | + | 0.0638724i | 0.883875 | − | 0.467724i | \(-0.154926\pi\) |
−0.846998 | + | 0.531596i | \(0.821592\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.70819 | − | 13.3510i | 0.405694 | − | 0.702683i | ||||
\(362\) | −29.0256 | − | 50.2737i | −1.52555 | − | 2.64233i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 2.49276 | + | 6.14763i | 0.130656 | + | 0.322223i | ||||
\(365\) | 1.01159 | 0.0529489 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 0.829833 | − | 1.43731i | 0.0433169 | − | 0.0750272i | −0.843554 | − | 0.537044i | \(-0.819541\pi\) |
0.886871 | + | 0.462017i | \(0.152874\pi\) | |||||||
\(368\) | −10.8995 | + | 18.8784i | −0.568173 | + | 0.984105i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −54.5736 | −2.83715 | ||||||||
\(371\) | −10.8675 | − | 26.8014i | −0.564213 | − | 1.39146i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −0.920052 | − | 1.59358i | −0.0476385 | − | 0.0825123i | 0.841223 | − | 0.540688i | \(-0.181836\pi\) |
−0.888861 | + | 0.458176i | \(0.848503\pi\) | |||||||
\(374\) | 6.40895 | − | 11.1006i | 0.331399 | − | 0.574000i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 12.0060 | + | 20.7950i | 0.619163 | + | 1.07242i | ||||
\(377\) | −1.73203 | −0.0892041 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −4.60612 | −0.236600 | −0.118300 | − | 0.992978i | \(-0.537745\pi\) | ||||
−0.118300 | + | 0.992978i | \(0.537745\pi\) | |||||||
\(380\) | −9.26554 | − | 16.0484i | −0.475312 | − | 0.823265i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 22.7385 | − | 39.3842i | 1.16340 | − | 2.01507i | ||||
\(383\) | −5.68567 | − | 9.84787i | −0.290524 | − | 0.503203i | 0.683410 | − | 0.730035i | \(-0.260496\pi\) |
−0.973934 | + | 0.226832i | \(0.927163\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −19.5113 | + | 25.0379i | −0.994389 | + | 1.27605i | ||||
\(386\) | −0.223879 | −0.0113951 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 36.6785 | − | 63.5290i | 1.86207 | − | 3.22519i | ||||
\(389\) | 1.62680 | − | 2.81770i | 0.0824821 | − | 0.142863i | −0.821833 | − | 0.569728i | \(-0.807049\pi\) |
0.904315 | + | 0.426865i | \(0.140382\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −4.15937 | −0.210348 | ||||||||
\(392\) | −9.37048 | − | 37.1862i | −0.473281 | − | 1.87819i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 5.59706 | + | 9.69439i | 0.281976 | + | 0.488396i | ||||
\(395\) | 7.17797 | − | 12.4326i | 0.361163 | − | 0.625553i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −0.0664812 | − | 0.115149i | −0.00333660 | − | 0.00577916i | 0.864352 | − | 0.502887i | \(-0.167729\pi\) |
−0.867689 | + | 0.497108i | \(0.834395\pi\) | |||||||
\(398\) | −35.6713 | −1.78804 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.26356 | 0.113178 | ||||||||
\(401\) | −5.09167 | − | 8.81904i | −0.254266 | − | 0.440402i | 0.710430 | − | 0.703768i | \(-0.248501\pi\) |
−0.964696 | + | 0.263366i | \(0.915167\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.92254 | + | 3.32995i | −0.0957688 | + | 0.165876i | ||||
\(404\) | 31.8420 | + | 55.1519i | 1.58420 | + | 2.74391i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 18.9315 | + | 2.63650i | 0.939556 | + | 0.130847i | ||||
\(407\) | −48.4085 | −2.39952 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 7.03167 | − | 12.1792i | 0.347694 | − | 0.602223i | −0.638146 | − | 0.769916i | \(-0.720298\pi\) |
0.985839 | + | 0.167693i | \(0.0536316\pi\) | |||||||
\(410\) | −6.07373 | + | 10.5200i | −0.299960 | + | 0.519546i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −57.8805 | −2.85157 | ||||||||
\(413\) | 3.19338 | + | 7.87550i | 0.157136 | + | 0.387528i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −6.03407 | − | 10.4513i | −0.296201 | − | 0.513035i | ||||
\(416\) | 0.624780 | − | 1.08215i | 0.0306323 | − | 0.0530568i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −12.1324 | − | 21.0140i | −0.593417 | − | 1.02783i | ||||
\(419\) | −26.5734 | −1.29820 | −0.649098 | − | 0.760704i | \(-0.724854\pi\) | ||||
−0.649098 | + | 0.760704i | \(0.724854\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −11.0420 | −0.538155 | −0.269077 | − | 0.963119i | \(-0.586719\pi\) | ||||
−0.269077 | + | 0.963119i | \(0.586719\pi\) | |||||||
\(422\) | −21.8561 | − | 37.8559i | −1.06394 | − | 1.84280i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −29.9423 | + | 51.8616i | −1.45413 | + | 2.51862i | ||||
\(425\) | 0.215950 | + | 0.374037i | 0.0104751 | + | 0.0181435i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 27.7329 | + | 3.86221i | 1.34209 | + | 0.186906i | ||||
\(428\) | 3.70207 | 0.178946 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −32.8940 | + | 56.9740i | −1.58629 | + | 2.74753i | ||||
\(431\) | −3.20784 | + | 5.55614i | −0.154516 | + | 0.267630i | −0.932883 | − | 0.360180i | \(-0.882715\pi\) |
0.778367 | + | 0.627810i | \(0.216049\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −20.9787 | −1.00817 | −0.504086 | − | 0.863654i | \(-0.668170\pi\) | ||||
−0.504086 | + | 0.863654i | \(0.668170\pi\) | |||||||
\(434\) | 26.0827 | − | 33.4706i | 1.25201 | − | 1.60664i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −29.1639 | − | 50.5134i | −1.39670 | − | 2.41915i | ||||
\(437\) | −3.93693 | + | 6.81896i | −0.188329 | + | 0.326195i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 3.56767 | + | 6.17939i | 0.170276 | + | 0.294926i | 0.938516 | − | 0.345235i | \(-0.112201\pi\) |
−0.768241 | + | 0.640161i | \(0.778868\pi\) | |||||||
\(440\) | 65.7271 | 3.13341 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 1.48645 | 0.0707031 | ||||||||
\(443\) | 11.9249 | + | 20.6545i | 0.566569 | + | 0.981327i | 0.996902 | + | 0.0786566i | \(0.0250631\pi\) |
−0.430332 | + | 0.902671i | \(0.641604\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.459933 | − | 0.796627i | 0.0218029 | − | 0.0377638i | ||||
\(446\) | −30.9653 | − | 53.6335i | −1.46625 | − | 2.53962i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 8.57014 | − | 10.9976i | 0.404901 | − | 0.519588i | ||||
\(449\) | −31.7250 | −1.49720 | −0.748598 | − | 0.663025i | \(-0.769273\pi\) | ||||
−0.748598 | + | 0.663025i | \(0.769273\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −5.38759 | + | 9.33158i | −0.253692 | + | 0.439407i | ||||
\(452\) | −34.4604 | + | 59.6872i | −1.62088 | + | 2.80745i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 20.7352 | 0.973152 | ||||||||
\(455\) | −3.64588 | − | 0.507743i | −0.170921 | − | 0.0238034i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −13.8608 | − | 24.0076i | −0.648379 | − | 1.12303i | −0.983510 | − | 0.180854i | \(-0.942114\pi\) |
0.335130 | − | 0.942172i | \(-0.391220\pi\) | |||||||
\(458\) | −21.1970 | + | 36.7144i | −0.990473 | + | 1.71555i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −20.3581 | − | 35.2613i | −0.949201 | − | 1.64406i | ||||
\(461\) | 22.6069 | 1.05291 | 0.526453 | − | 0.850204i | \(-0.323522\pi\) | ||||
0.526453 | + | 0.850204i | \(0.323522\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 7.23081 | 0.336044 | 0.168022 | − | 0.985783i | \(-0.446262\pi\) | ||||
0.168022 | + | 0.985783i | \(0.446262\pi\) | |||||||
\(464\) | −7.60300 | − | 13.1688i | −0.352960 | − | 0.611345i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −19.1727 | + | 33.2080i | −0.888157 | + | 1.53833i | ||||
\(467\) | −15.4473 | − | 26.7556i | −0.714818 | − | 1.23810i | −0.963030 | − | 0.269395i | \(-0.913176\pi\) |
0.248212 | − | 0.968706i | \(-0.420157\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 14.6831 | + | 36.2114i | 0.678002 | + | 1.67209i | ||||
\(470\) | −25.4363 | −1.17329 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 8.79844 | − | 15.2393i | 0.404981 | − | 0.701447i | ||||
\(473\) | −29.1780 | + | 50.5378i | −1.34161 | + | 2.32373i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.817607 | 0.0375144 | ||||||||
\(476\) | −11.0063 | − | 1.53279i | −0.504474 | − | 0.0702555i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 15.0589 | + | 26.0827i | 0.688776 | + | 1.19300i | ||||
\(479\) | −10.9056 | + | 18.8890i | −0.498289 | + | 0.863061i | −0.999998 | − | 0.00197495i | \(-0.999371\pi\) |
0.501709 | + | 0.865036i | \(0.332705\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −2.80688 | − | 4.86166i | −0.127983 | − | 0.221673i | ||||
\(482\) | 36.8388 | 1.67796 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 65.0988 | 2.95904 | ||||||||
\(485\) | 20.3527 | + | 35.2520i | 0.924170 | + | 1.60071i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −2.27912 | + | 3.94755i | −0.103277 | + | 0.178880i | −0.913033 | − | 0.407886i | \(-0.866266\pi\) |
0.809756 | + | 0.586767i | \(0.199599\pi\) | |||||||
\(488\) | −28.9894 | − | 50.2111i | −1.31229 | − | 2.27295i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 39.0775 | + | 11.0995i | 1.76534 | + | 0.501425i | ||||
\(491\) | 1.59981 | 0.0721983 | 0.0360992 | − | 0.999348i | \(-0.488507\pi\) | ||||
0.0360992 | + | 0.999348i | \(0.488507\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 1.45070 | − | 2.51268i | 0.0653362 | − | 0.113166i | ||||
\(494\) | 1.40696 | − | 2.43692i | 0.0633019 | − | 0.109642i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −33.7571 | −1.51574 | ||||||||
\(497\) | −11.2380 | + | 14.4212i | −0.504094 | + | 0.646878i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 12.5765 | + | 21.7832i | 0.563003 | + | 0.975150i | 0.997232 | + | 0.0743474i | \(0.0236874\pi\) |
−0.434229 | + | 0.900802i | \(0.642979\pi\) | |||||||
\(500\) | 22.3587 | − | 38.7263i | 0.999909 | − | 1.73189i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −14.3027 | − | 24.7730i | −0.638361 | − | 1.10567i | ||||
\(503\) | −17.2499 | −0.769135 | −0.384568 | − | 0.923097i | \(-0.625649\pi\) | ||||
−0.384568 | + | 0.923097i | \(0.625649\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −35.3380 | −1.57252 | ||||||||
\(506\) | −26.6572 | − | 46.1716i | −1.18506 | − | 2.05258i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −11.8063 | + | 20.4491i | −0.523818 | + | 0.907280i | ||||
\(509\) | −7.76030 | − | 13.4412i | −0.343969 | − | 0.595772i | 0.641197 | − | 0.767377i | \(-0.278438\pi\) |
−0.985166 | + | 0.171604i | \(0.945105\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.431514 | − | 1.06420i | −0.0190891 | − | 0.0470774i | ||||
\(512\) | −46.4533 | −2.05296 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 9.77978 | − | 16.9391i | 0.431368 | − | 0.747151i | ||||
\(515\) | 16.0588 | − | 27.8147i | 0.707637 | − | 1.22566i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −22.5628 | −0.992311 | ||||||||
\(518\) | 23.2795 | + | 57.4118i | 1.02284 | + | 2.52253i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 3.81107 | + | 6.60096i | 0.167126 | + | 0.289471i | ||||
\(521\) | 12.7448 | − | 22.0747i | 0.558361 | − | 0.967110i | −0.439272 | − | 0.898354i | \(-0.644764\pi\) |
0.997633 | − | 0.0687562i | \(-0.0219030\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −4.51439 | − | 7.81915i | −0.197400 | − | 0.341907i | 0.750284 | − | 0.661115i | \(-0.229917\pi\) |
−0.947685 | + | 0.319208i | \(0.896583\pi\) | |||||||
\(524\) | −35.4649 | −1.54929 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −38.9871 | −1.69992 | ||||||||
\(527\) | −3.22053 | − | 5.57813i | −0.140289 | − | 0.242987i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 2.84984 | − | 4.93607i | 0.123906 | − | 0.214612i | ||||
\(530\) | −31.7183 | − | 54.9377i | −1.37775 | − | 2.38634i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −12.9306 | + | 16.5932i | −0.560614 | + | 0.719407i | ||||
\(533\) | −1.24956 | −0.0541244 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.02713 | + | 1.77904i | −0.0444068 | + | 0.0769148i | ||||
\(536\) | 40.4550 | − | 70.0701i | 1.74739 | − | 3.02657i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −71.6299 | −3.08818 | ||||||||
\(539\) | 34.6630 | + | 9.84563i | 1.49304 | + | 0.424081i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 17.1995 | + | 29.7904i | 0.739464 | + | 1.28079i | 0.952737 | + | 0.303796i | \(0.0982543\pi\) |
−0.213273 | + | 0.976993i | \(0.568412\pi\) | |||||||
\(542\) | 6.06224 | − | 10.5001i | 0.260396 | − | 0.451018i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 1.04659 | + | 1.81275i | 0.0448724 | + | 0.0777212i | ||||
\(545\) | 32.3659 | 1.38640 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −24.1154 | −1.03110 | −0.515551 | − | 0.856859i | \(-0.672413\pi\) | ||||
−0.515551 | + | 0.856859i | \(0.672413\pi\) | |||||||
\(548\) | −1.83070 | − | 3.17086i | −0.0782035 | − | 0.135453i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −2.76803 | + | 4.79437i | −0.118029 | + | 0.204433i | ||||
\(551\) | −2.74624 | − | 4.75662i | −0.116994 | − | 0.202639i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −16.1411 | − | 2.24789i | −0.686390 | − | 0.0955901i | ||||
\(554\) | 47.9544 | 2.03739 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 25.9860 | − | 45.0090i | 1.10205 | − | 1.90881i | ||||
\(557\) | 9.19967 | − | 15.9343i | 0.389803 | − | 0.675158i | −0.602620 | − | 0.798028i | \(-0.705877\pi\) |
0.992423 | + | 0.122870i | \(0.0392099\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −6.76734 | −0.286228 | ||||||||
\(560\) | −12.1437 | − | 29.9487i | −0.513165 | − | 1.26557i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 18.2137 | + | 31.5470i | 0.768297 | + | 1.33073i | ||||
\(563\) | −6.83677 | + | 11.8416i | −0.288136 | + | 0.499065i | −0.973365 | − | 0.229262i | \(-0.926369\pi\) |
0.685229 | + | 0.728328i | \(0.259702\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −19.1220 | − | 33.1202i | −0.804467 | − | 1.39338i | ||||
\(566\) | 29.8311 | 1.25389 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 37.8571 | 1.58845 | ||||||||
\(569\) | −11.7978 | − | 20.4343i | −0.494588 | − | 0.856652i | 0.505392 | − | 0.862890i | \(-0.331348\pi\) |
−0.999981 | + | 0.00623751i | \(0.998015\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 2.85804 | − | 4.95027i | 0.119605 | − | 0.207162i | −0.800006 | − | 0.599992i | \(-0.795170\pi\) |
0.919611 | + | 0.392830i | \(0.128504\pi\) | |||||||
\(572\) | 6.45356 | + | 11.1779i | 0.269837 | + | 0.467371i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 13.6580 | + | 1.90208i | 0.570074 | + | 0.0793913i | ||||
\(575\) | 1.79643 | 0.0749164 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 12.6215 | − | 21.8611i | 0.525440 | − | 0.910089i | −0.474121 | − | 0.880460i | \(-0.657234\pi\) |
0.999561 | − | 0.0296294i | \(-0.00943272\pi\) | |||||||
\(578\) | −1.24500 | + | 2.15641i | −0.0517854 | + | 0.0896949i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 28.4019 | 1.17932 | ||||||||
\(581\) | −8.42090 | + | 10.8061i | −0.349358 | + | 0.448313i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −28.1351 | − | 48.7315i | −1.16524 | − | 2.01825i | ||||
\(584\) | −1.18891 | + | 2.05926i | −0.0491975 | + | 0.0852126i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −8.82462 | − | 15.2847i | −0.364542 | − | 0.631405i | ||||
\(587\) | −10.1988 | −0.420950 | −0.210475 | − | 0.977599i | \(-0.567501\pi\) | ||||
−0.210475 | + | 0.977599i | \(0.567501\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −12.1932 | −0.502413 | ||||||||
\(590\) | 9.32031 | + | 16.1432i | 0.383711 | + | 0.664607i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 24.6424 | − | 42.6819i | 1.01280 | − | 1.75422i | ||||
\(593\) | −1.62267 | − | 2.81054i | −0.0666349 | − | 0.115415i | 0.830783 | − | 0.556596i | \(-0.187893\pi\) |
−0.897418 | + | 0.441181i | \(0.854560\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 3.79027 | − | 4.86386i | 0.155386 | − | 0.199399i | ||||
\(596\) | 21.5160 | 0.881329 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 3.09134 | − | 5.35436i | 0.126414 | − | 0.218956i | ||||
\(599\) | −10.5704 | + | 18.3085i | −0.431895 | + | 0.748064i | −0.997037 | − | 0.0769299i | \(-0.975488\pi\) |
0.565142 | + | 0.824994i | \(0.308822\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 8.77314 | 0.357864 | 0.178932 | − | 0.983861i | \(-0.442736\pi\) | ||||
0.178932 | + | 0.983861i | \(0.442736\pi\) | |||||||
\(602\) | 73.9687 | + | 10.3012i | 3.01474 | + | 0.419847i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 7.84828 | + | 13.5936i | 0.319342 | + | 0.553116i | ||||
\(605\) | −18.0615 | + | 31.2835i | −0.734306 | + | 1.27185i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 10.2399 | + | 17.7359i | 0.415623 | + | 0.719880i | 0.995494 | − | 0.0948287i | \(-0.0302303\pi\) |
−0.579871 | + | 0.814708i | \(0.696897\pi\) | |||||||
\(608\) | 3.96250 | 0.160701 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 61.4177 | 2.48673 | ||||||||
\(611\) | −1.30826 | − | 2.26598i | −0.0529267 | − | 0.0916717i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −15.0441 | + | 26.0572i | −0.607626 | + | 1.05244i | 0.384005 | + | 0.923331i | \(0.374545\pi\) |
−0.991631 | + | 0.129108i | \(0.958789\pi\) | |||||||
\(614\) | −38.2804 | − | 66.3036i | −1.54487 | − | 2.67580i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −28.0373 | − | 69.1454i | −1.12965 | − | 2.78595i | ||||
\(617\) | −37.8597 | −1.52417 | −0.762086 | − | 0.647476i | \(-0.775825\pi\) | ||||
−0.762086 | + | 0.647476i | \(0.775825\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 5.54171 | − | 9.59852i | 0.222740 | − | 0.385797i | −0.732899 | − | 0.680338i | \(-0.761833\pi\) |
0.955639 | + | 0.294540i | \(0.0951665\pi\) | |||||||
\(620\) | 31.5259 | − | 54.6045i | 1.26611 | − | 2.19297i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −81.8791 | −3.28305 | ||||||||
\(623\) | −1.03425 | − | 0.144035i | −0.0414364 | − | 0.00577064i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 13.4865 | + | 23.3593i | 0.539459 | + | 0.934371i | ||||
\(626\) | 2.93086 | − | 5.07639i | 0.117141 | − | 0.202894i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 7.59645 | + | 13.1574i | 0.303131 | + | 0.525039i | ||||
\(629\) | 9.40385 | 0.374956 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −23.5684 | −0.938243 | −0.469122 | − | 0.883134i | \(-0.655429\pi\) | ||||
−0.469122 | + | 0.883134i | \(0.655429\pi\) | |||||||
\(632\) | 16.8724 | + | 29.2239i | 0.671150 | + | 1.16247i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 38.0719 | − | 65.9425i | 1.51203 | − | 2.61891i | ||||
\(635\) | −6.55125 | − | 11.3471i | −0.259979 | − | 0.450296i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.02108 | + | 4.05208i | 0.0404565 | + | 0.160549i | ||||
\(638\) | 37.1898 | 1.47236 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 20.1696 | − | 34.9348i | 0.797274 | − | 1.38092i | ||||
\(641\) | 12.4440 | − | 21.5537i | 0.491510 | − | 0.851320i | −0.508442 | − | 0.861096i | \(-0.669778\pi\) |
0.999952 | + | 0.00977574i | \(0.00311177\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 21.5679 | 0.850557 | 0.425278 | − | 0.905063i | \(-0.360176\pi\) | ||||
0.425278 | + | 0.905063i | \(0.360176\pi\) | |||||||
\(644\) | −28.4109 | + | 36.4583i | −1.11955 | + | 1.43666i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 2.35685 | + | 4.08218i | 0.0927290 | + | 0.160611i | ||||
\(647\) | −11.1073 | + | 19.2384i | −0.436674 | + | 0.756341i | −0.997431 | − | 0.0716393i | \(-0.977177\pi\) |
0.560757 | + | 0.827981i | \(0.310510\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 8.26741 | + | 14.3196i | 0.324524 | + | 0.562093i | ||||
\(650\) | −0.641998 | −0.0251812 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −24.1058 | −0.944057 | ||||||||
\(653\) | −11.2721 | − | 19.5239i | −0.441112 | − | 0.764028i | 0.556660 | − | 0.830740i | \(-0.312082\pi\) |
−0.997772 | + | 0.0667120i | \(0.978749\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 9.83967 | − | 17.0428i | 0.384468 | − | 0.665918i | ||||
\(656\) | −5.48512 | − | 9.50051i | −0.214158 | − | 0.370933i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 10.8504 | + | 26.7592i | 0.422992 | + | 1.04318i | ||||
\(659\) | 38.3546 | 1.49408 | 0.747041 | − | 0.664778i | \(-0.231474\pi\) | ||||
0.747041 | + | 0.664778i | \(0.231474\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −14.1377 | + | 24.4873i | −0.549895 | + | 0.952445i | 0.448387 | + | 0.893840i | \(0.351999\pi\) |
−0.998281 | + | 0.0586056i | \(0.981335\pi\) | |||||||
\(662\) | 4.98943 | − | 8.64195i | 0.193920 | − | 0.335879i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 28.3672 | 1.10086 | ||||||||
\(665\) | −4.38636 | − | 10.8176i | −0.170096 | − | 0.419489i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −6.03398 | − | 10.4512i | −0.233637 | − | 0.404671i | ||||
\(668\) | −52.6578 | + | 91.2061i | −2.03739 | + | 3.52887i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 42.8545 | + | 74.2262i | 1.65562 | + | 2.86761i | ||||
\(671\) | 54.4795 | 2.10316 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 21.8417 | 0.841937 | 0.420969 | − | 0.907075i | \(-0.361690\pi\) | ||||
0.420969 | + | 0.907075i | \(0.361690\pi\) | |||||||
\(674\) | 28.8423 | + | 49.9563i | 1.11096 | + | 1.92424i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 26.5525 | − | 45.9904i | 1.02125 | − | 1.76886i | ||||
\(677\) | 3.00000 | + | 5.19615i | 0.115299 | + | 0.199704i | 0.917899 | − | 0.396813i | \(-0.129884\pi\) |
−0.802600 | + | 0.596518i | \(0.796551\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 28.4035 | − | 36.4487i | 1.09002 | − | 1.39877i | ||||
\(680\) | −12.7682 | −0.489636 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 41.2805 | − | 71.4999i | 1.58071 | − | 2.73787i | ||||
\(683\) | 6.80646 | − | 11.7891i | 0.260442 | − | 0.451099i | −0.705917 | − | 0.708294i | \(-0.749465\pi\) |
0.966359 | + | 0.257195i | \(0.0827984\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 2.03169 | 0.0776271 | ||||||||
\(686\) | −4.99254 | − | 45.8446i | −0.190616 | − | 1.75035i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −29.7062 | − | 51.4527i | −1.13254 | − | 1.96161i | ||||
\(689\) | 3.26273 | − | 5.65122i | 0.124300 | − | 0.215294i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 10.9400 | + | 18.9487i | 0.416178 | + | 0.720842i | 0.995551 | − | 0.0942206i | \(-0.0300359\pi\) |
−0.579373 | + | 0.815062i | \(0.696703\pi\) | |||||||
\(692\) | −69.4415 | −2.63977 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 14.7222 | 0.558846 | ||||||||
\(695\) | 14.4195 | + | 24.9753i | 0.546963 | + | 0.947368i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 1.04659 | − | 1.81275i | 0.0396426 | − | 0.0686630i | ||||
\(698\) | −32.9283 | − | 57.0335i | −1.24635 | − | 2.15875i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 4.75364 | + | 0.662015i | 0.179671 | + | 0.0250218i | ||||
\(701\) | 23.2153 | 0.876829 | 0.438414 | − | 0.898773i | \(-0.355540\pi\) | ||||
0.438414 | + | 0.898773i | \(0.355540\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 8.90095 | − | 15.4169i | 0.335706 | − | 0.581459i | ||||
\(704\) | 13.5637 | − | 23.4931i | 0.511203 | − | 0.885429i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 10.7838 | 0.405854 | ||||||||
\(707\) | 15.0741 | + | 37.1758i | 0.566922 | + | 1.39814i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1.28712 | − | 2.22935i | −0.0483387 | − | 0.0837251i | 0.840844 | − | 0.541278i | \(-0.182059\pi\) |
−0.889182 | + | 0.457553i | \(0.848726\pi\) | |||||||
\(710\) | −20.0513 | + | 34.7299i | −0.752512 | + | 1.30339i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 1.08111 | + | 1.87254i | 0.0405164 | + | 0.0701764i | ||||
\(713\) | −26.7908 | −1.00332 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −7.16211 | −0.267848 | ||||||||
\(716\) | 9.59783 | + | 16.6239i | 0.358688 | + | 0.621265i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 1.73981 | − | 3.01343i | 0.0649290 | − | 0.112460i | ||||
\(719\) | 9.41387 | + | 16.3053i | 0.351078 | + | 0.608085i | 0.986439 | − | 0.164130i | \(-0.0524818\pi\) |
−0.635360 | + | 0.772216i | \(0.719148\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −36.1115 | − | 5.02907i | −1.34486 | − | 0.187292i | ||||
\(722\) | −38.3869 | −1.42861 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −48.9603 | + | 84.8017i | −1.81959 | + | 3.15163i | ||||
\(725\) | −0.626558 | + | 1.08523i | −0.0232698 | + | 0.0403044i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −16.5235 | −0.612823 | −0.306411 | − | 0.951899i | \(-0.599128\pi\) | ||||
−0.306411 | + | 0.951899i | \(0.599128\pi\) | |||||||
\(728\) | 5.31857 | − | 6.82505i | 0.197119 | − | 0.252953i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −1.25943 | − | 2.18140i | −0.0466137 | − | 0.0807372i | ||||
\(731\) | 5.66812 | − | 9.81748i | 0.209643 | − | 0.363113i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 8.03661 | + | 13.9198i | 0.296839 | + | 0.514140i | 0.975411 | − | 0.220394i | \(-0.0707342\pi\) |
−0.678572 | + | 0.734534i | \(0.737401\pi\) | |||||||
\(734\) | −4.13258 | −0.152536 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 8.70634 | 0.320920 | ||||||||
\(737\) | 38.0134 | + | 65.8411i | 1.40024 | + | 2.42529i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 3.17347 | − | 5.49661i | 0.116738 | − | 0.202196i | −0.801735 | − | 0.597679i | \(-0.796090\pi\) |
0.918473 | + | 0.395483i | \(0.129423\pi\) | |||||||
\(740\) | 46.0273 | + | 79.7217i | 1.69200 | + | 2.93063i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −44.2648 | + | 56.8027i | −1.62501 | + | 2.08529i | ||||
\(743\) | −8.14793 | −0.298918 | −0.149459 | − | 0.988768i | \(-0.547753\pi\) | ||||
−0.149459 | + | 0.988768i | \(0.547753\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −5.96957 | + | 10.3396i | −0.218708 | + | 0.378814i | ||||
\(746\) | −2.29094 | + | 3.96802i | −0.0838772 | + | 0.145280i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −21.6212 | −0.790550 | ||||||||
\(749\) | 2.30971 | + | 0.321662i | 0.0843951 | + | 0.0117533i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −18.5765 | − | 32.1754i | −0.677864 | − | 1.17410i | −0.975623 | − | 0.219454i | \(-0.929572\pi\) |
0.297758 | − | 0.954641i | \(-0.403761\pi\) | |||||||
\(752\) | 11.4856 | − | 19.8937i | 0.418838 | − | 0.725448i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 2.15639 | + | 3.73497i | 0.0785310 | + | 0.136020i | ||||
\(755\) | −8.70996 | −0.316988 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 9.61543 | 0.349479 | 0.174739 | − | 0.984615i | \(-0.444092\pi\) | ||||
0.174739 | + | 0.984615i | \(0.444092\pi\) | |||||||
\(758\) | 5.73464 | + | 9.93268i | 0.208291 | + | 0.360771i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −12.0853 | + | 20.9324i | −0.438381 | + | 0.759299i | ||||
\(761\) | −0.0792099 | − | 0.137196i | −0.00287136 | − | 0.00497334i | 0.864586 | − | 0.502485i | \(-0.167581\pi\) |
−0.867458 | + | 0.497511i | \(0.834247\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −13.8064 | − | 34.0492i | −0.499824 | − | 1.23266i | ||||
\(764\) | −76.7104 | −2.77529 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −14.1574 | + | 24.5213i | −0.511527 | + | 0.885990i | ||||
\(767\) | −0.958743 | + | 1.66059i | −0.0346182 | + | 0.0599605i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 25.6975 | 0.926674 | 0.463337 | − | 0.886182i | \(-0.346652\pi\) | ||||
0.463337 | + | 0.886182i | \(0.346652\pi\) | |||||||
\(770\) | 78.2836 | + | 10.9022i | 2.82115 | + | 0.392887i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0.188819 | + | 0.327044i | 0.00679575 | + | 0.0117706i | ||||
\(773\) | −15.7495 | + | 27.2790i | −0.566472 | + | 0.981158i | 0.430439 | + | 0.902620i | \(0.358359\pi\) |
−0.996911 | + | 0.0785385i | \(0.974975\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1.39095 | + | 2.40920i | 0.0499644 | + | 0.0865410i | ||||
\(776\) | −95.6817 | −3.43477 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −8.10150 | −0.290453 | ||||||||
\(779\) | −1.98125 | − | 3.43162i | −0.0709856 | − | 0.122951i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −17.7861 | + | 30.8065i | −0.636438 | + | 1.10234i | ||||
\(782\) | 5.17843 | + | 8.96930i | 0.185180 | + | 0.320742i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −26.3262 | + | 25.5505i | −0.940220 | + | 0.912519i | ||||
\(785\) | −8.43048 | −0.300897 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −17.6356 | + | 30.5458i | −0.628642 | + | 1.08884i | 0.359182 | + | 0.933267i | \(0.383056\pi\) |
−0.987824 | + | 0.155573i | \(0.950278\pi\) | |||||||
\(788\) | 9.44111 | − | 16.3525i | 0.336326 | − | 0.582533i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −35.7464 | −1.27180 | ||||||||
\(791\) | −26.6859 | + | 34.2446i | −0.948840 | + | 1.21760i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 3.15890 | + | 5.47137i | 0.112176 | + | 0.194294i | ||||
\(794\) | −0.165539 | + | 0.286722i | −0.00587476 | + | 0.0101754i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 30.0851 | + | 52.1090i | 1.06634 | + | 1.84695i | ||||
\(797\) | −2.97165 | −0.105261 | −0.0526306 | − | 0.998614i | \(-0.516761\pi\) | ||||
−0.0526306 | + | 0.998614i | \(0.516761\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 4.38305 | 0.155061 | ||||||||
\(800\) | −0.452025 | − | 0.782930i | −0.0159815 | − | 0.0276808i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −12.6783 | + | 21.9595i | −0.447687 | + | 0.775416i | ||||
\(803\) | −1.11716 | − | 1.93497i | −0.0394236 | − | 0.0682837i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −9.63763 | − | 23.7683i | −0.339682 | − | 0.837722i | ||||
\(806\) | 9.57431 | 0.337241 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 41.5325 | − | 71.9363i | 1.46111 | − | 2.53071i | ||||
\(809\) | 23.0577 | − | 39.9371i | 0.810665 | − | 1.40411i | −0.101734 | − | 0.994812i | \(-0.532439\pi\) |
0.912399 | − | 0.409302i | \(-0.134228\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −28.0004 | −0.983227 | −0.491614 | − | 0.870813i | \(-0.663593\pi\) | ||||
−0.491614 | + | 0.870813i | \(0.663593\pi\) | |||||||
\(812\) | −12.1154 | − | 29.8790i | −0.425168 | − | 1.04855i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 60.2688 | + | 104.389i | 2.11242 | + | 3.65882i | ||||
\(815\) | 6.68811 | − | 11.5842i | 0.234274 | − | 0.405775i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −10.7300 | − | 18.5849i | −0.375396 | − | 0.650204i | ||||
\(818\) | −35.0178 | −1.22437 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 20.4903 | 0.715553 | ||||||||
\(821\) | 7.06991 | + | 12.2454i | 0.246741 | + | 0.427369i | 0.962620 | − | 0.270856i | \(-0.0873068\pi\) |
−0.715878 | + | 0.698225i | \(0.753973\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 16.8643 | − | 29.2098i | 0.587852 | − | 1.01819i | −0.406661 | − | 0.913579i | \(-0.633307\pi\) |
0.994513 | − | 0.104611i | \(-0.0333597\pi\) | |||||||
\(824\) | 37.7477 | + | 65.3809i | 1.31500 | + | 2.27765i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 13.0070 | − | 16.6913i | 0.452573 | − | 0.580764i | ||||
\(827\) | 43.8428 | 1.52456 | 0.762282 | − | 0.647245i | \(-0.224079\pi\) | ||||
0.762282 | + | 0.647245i | \(0.224079\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −15.4144 | + | 26.6986i | −0.535365 | + | 0.927279i | 0.463781 | + | 0.885950i | \(0.346493\pi\) |
−0.999146 | + | 0.0413291i | \(0.986841\pi\) | |||||||
\(830\) | −15.0249 | + | 26.0239i | −0.521521 | + | 0.903301i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 3.14588 | 0.109064 | ||||||||
\(833\) | −6.73364 | − | 1.91261i | −0.233307 | − | 0.0662682i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −29.2196 | − | 50.6099i | −1.01119 | − | 1.75143i | ||||
\(836\) | −20.4650 | + | 35.4464i | −0.707796 | + | 1.22594i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 33.0840 | + | 57.3032i | 1.14287 | + | 1.97951i | ||||
\(839\) | 0.689347 | 0.0237989 | 0.0118995 | − | 0.999929i | \(-0.496212\pi\) | ||||
0.0118995 | + | 0.999929i | \(0.496212\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −20.5819 | −0.709721 | ||||||||
\(842\) | 13.7474 | + | 23.8111i | 0.473765 | + | 0.820586i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −36.8669 | + | 63.8553i | −1.26901 | + | 2.19799i | ||||
\(845\) | 14.7339 | + | 25.5199i | 0.506862 | + | 0.877910i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 40.6150 | + | 5.65624i | 1.39555 | + | 0.194351i | ||||
\(848\) | 57.2889 | 1.96731 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0.537718 | − | 0.931356i | 0.0184436 | − | 0.0319452i | ||||
\(851\) | 19.5570 | − | 33.8738i | 0.670406 | − | 1.16118i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −8.18346 | −0.280196 | −0.140098 | − | 0.990138i | \(-0.544742\pi\) | ||||
−0.140098 | + | 0.990138i | \(0.544742\pi\) | |||||||
\(854\) | −26.1990 | − | 64.6119i | −0.896512 | − | 2.21097i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −2.41436 | − | 4.18180i | −0.0825211 | − | 0.142931i | ||||
\(857\) | 25.5105 | − | 44.1855i | 0.871423 | − | 1.50935i | 0.0108975 | − | 0.999941i | \(-0.496531\pi\) |
0.860525 | − | 0.509408i | \(-0.170136\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −9.77387 | − | 16.9288i | −0.333480 | − | 0.577605i | 0.649712 | − | 0.760181i | \(-0.274890\pi\) |
−0.983192 | + | 0.182576i | \(0.941556\pi\) | |||||||
\(860\) | 110.971 | 3.78408 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 15.9751 | 0.544114 | ||||||||
\(863\) | −0.427888 | − | 0.741123i | −0.0145655 | − | 0.0252281i | 0.858651 | − | 0.512561i | \(-0.171303\pi\) |
−0.873216 | + | 0.487333i | \(0.837970\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 19.2664 | − | 33.3704i | 0.655077 | − | 1.13463i | ||||
\(866\) | 26.1186 | + | 45.2387i | 0.887545 | + | 1.53727i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −70.8924 | − | 9.87283i | −2.40625 | − | 0.335106i | ||||
\(869\) | −31.7082 | −1.07563 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −4.40828 | + | 7.63536i | −0.149369 | + | 0.258714i | ||||
\(872\) | −38.0394 | + | 65.8862i | −1.28818 | + | 2.23119i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 19.6060 | 0.663182 | ||||||||
\(875\) | 17.3143 | − | 22.2186i | 0.585331 | − | 0.751126i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 5.01076 | + | 8.67889i | 0.169201 | + | 0.293065i | 0.938139 | − | 0.346258i | \(-0.112548\pi\) |
−0.768938 | + | 0.639323i | \(0.779214\pi\) | |||||||
\(878\) | 8.88353 | − | 15.3867i | 0.299805 | − | 0.519277i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −31.4391 | − | 54.4541i | −1.05981 | − | 1.83565i | ||||
\(881\) | −32.1954 | −1.08469 | −0.542345 | − | 0.840156i | \(-0.682463\pi\) | ||||
−0.542345 | + | 0.840156i | \(0.682463\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 19.5142 | 0.656706 | 0.328353 | − | 0.944555i | \(-0.393506\pi\) | ||||
0.328353 | + | 0.944555i | \(0.393506\pi\) | |||||||
\(884\) | −1.25367 | − | 2.17142i | −0.0421654 | − | 0.0730327i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 29.6931 | − | 51.4300i | 0.997560 | − | 1.72782i | ||||
\(887\) | 0.141967 | + | 0.245894i | 0.00476678 | + | 0.00825630i | 0.868399 | − | 0.495866i | \(-0.165149\pi\) |
−0.863632 | + | 0.504122i | \(0.831816\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −9.14267 | + | 11.7323i | −0.306635 | + | 0.393489i | ||||
\(890\) | −2.29047 | −0.0767769 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −52.2323 | + | 90.4689i | −1.74887 | + | 3.02912i | ||||
\(893\) | 4.14866 | − | 7.18568i | 0.138830 | − | 0.240460i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −10.6516 | −0.356044 | ||||||||
\(896\) | −45.3555 | − | 6.31643i | −1.51522 | − | 0.211017i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 39.4978 | + | 68.4121i | 1.31806 | + | 2.28294i | ||||
\(899\) | 9.34405 | − | 16.1844i | 0.311641 | − | 0.539779i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 5.46554 | + | 9.46659i | 0.182083 | + | 0.315378i | ||||
\(902\) | 26.8303 | 0.893351 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 89.8957 | 2.98989 | ||||||||
\(905\) | −27.1679 | − | 47.0561i | −0.903090 | − | 1.56420i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −6.85534 | + | 11.8738i | −0.227628 | + | 0.394263i | −0.957105 | − | 0.289743i | \(-0.906430\pi\) |
0.729477 | + | 0.684006i | \(0.239764\pi\) | |||||||
\(908\) | −17.4881 | − | 30.2902i | −0.580362 | − | 1.00522i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 3.44423 | + | 8.49416i | 0.114175 | + | 0.281579i | ||||
\(911\) | 24.6522 | 0.816762 | 0.408381 | − | 0.912811i | \(-0.366093\pi\) | ||||
0.408381 | + | 0.912811i | \(0.366093\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −13.3276 | + | 23.0840i | −0.441078 | + | 0.763969i | ||||
\(914\) | −34.5134 | + | 59.7790i | −1.14160 | + | 1.97731i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 71.5103 | 2.36277 | ||||||||
\(917\) | −22.1265 | − | 3.08144i | −0.730681 | − | 0.101758i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 2.82238 | + | 4.88850i | 0.0931017 | + | 0.161257i | 0.908815 | − | 0.417200i | \(-0.136988\pi\) |
−0.815713 | + | 0.578457i | \(0.803655\pi\) | |||||||
\(920\) | −26.5537 | + | 45.9924i | −0.875450 | + | 1.51632i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −28.1456 | − | 48.7497i | −0.926927 | − | 1.60548i | ||||
\(923\) | −4.12519 | −0.135782 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −4.06153 | −0.133542 | ||||||||
\(926\) | −9.00239 | − | 15.5926i | −0.295837 | − | 0.512404i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −3.03658 | + | 5.25952i | −0.0996808 | + | 0.172652i | ||||
\(929\) | 14.7322 | + | 25.5169i | 0.483348 | + | 0.837184i | 0.999817 | − | 0.0191223i | \(-0.00608720\pi\) |
−0.516469 | + | 0.856306i | \(0.672754\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −9.50913 | + | 9.22896i | −0.311649 | + | 0.302467i | ||||
\(932\) | 64.6809 | 2.11869 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −38.4640 | + | 66.6216i | −1.25858 | + | 2.17993i | ||||
\(935\) | 5.99877 | − | 10.3902i | 0.196181 | − | 0.339795i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 0.947116 | 0.0309409 | 0.0154705 | − | 0.999880i | \(-0.495075\pi\) | ||||
0.0154705 | + | 0.999880i | \(0.495075\pi\) | |||||||
\(938\) | 59.8061 | − | 76.7461i | 1.95274 | − | 2.50585i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 21.4529 | + | 37.1576i | 0.699718 | + | 1.21195i | ||||
\(941\) | −2.77876 | + | 4.81295i | −0.0905850 | + | 0.156898i | −0.907757 | − | 0.419495i | \(-0.862207\pi\) |
0.817172 | + | 0.576393i | \(0.195540\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −4.35317 | − | 7.53991i | −0.141759 | − | 0.245533i | ||||
\(944\) | −16.8342 | −0.547905 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 145.307 | 4.72434 | ||||||||
\(947\) | 15.1118 | + | 26.1744i | 0.491068 | + | 0.850554i | 0.999947 | − | 0.0102836i | \(-0.00327344\pi\) |
−0.508879 | + | 0.860838i | \(0.669940\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0.129553 | − | 0.224392i | 0.00420546 | − | 0.00728407i | ||||
\(950\) | −1.01792 | − | 1.76310i | −0.0330258 | − | 0.0572024i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 5.44652 | + | 13.4322i | 0.176523 | + | 0.435340i | ||||
\(953\) | −47.8740 | −1.55079 | −0.775395 | − | 0.631476i | \(-0.782449\pi\) | ||||
−0.775395 | + | 0.631476i | \(0.782449\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 21.2832 | − | 36.8635i | 0.688707 | − | 1.19288i | ||||
\(956\) | 25.4013 | − | 43.9963i | 0.821536 | − | 1.42294i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 54.3100 | 1.75468 | ||||||||
\(959\) | −0.866662 | − | 2.13736i | −0.0279860 | − | 0.0690189i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −5.24368 | − | 9.08232i | −0.169151 | − | 0.292978i | ||||
\(962\) | −6.98916 | + | 12.1056i | −0.225340 | + | 0.390300i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −31.0698 | − | 53.8145i | −1.00069 | − | 1.73325i | ||||
\(965\) | −0.209550 | −0.00674565 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −32.5941 | −1.04816 | −0.524078 | − | 0.851671i | \(-0.675590\pi\) | ||||
−0.524078 | + | 0.851671i | \(0.675590\pi\) | |||||||
\(968\) | −42.4552 | − | 73.5345i | −1.36456 | − | 2.36349i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 50.6785 | − | 87.7777i | 1.62719 | − | 2.81837i | ||||
\(971\) | −30.2776 | − | 52.4423i | −0.971654 | − | 1.68295i | −0.690562 | − | 0.723273i | \(-0.742637\pi\) |
−0.281092 | − | 0.959681i | \(-0.590697\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 20.1233 | − | 25.8232i | 0.645123 | − | 0.827853i | ||||
\(974\) | 11.3500 | 0.363679 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −27.7329 | + | 48.0347i | −0.887707 | + | 1.53755i | ||||
\(977\) | −1.11354 | + | 1.92871i | −0.0356253 | + | 0.0617048i | −0.883288 | − | 0.468830i | \(-0.844676\pi\) |
0.847663 | + | 0.530535i | \(0.178009\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −2.03172 | −0.0649342 | ||||||||
\(980\) | −16.7436 | − | 66.4462i | −0.534856 | − | 2.12254i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −1.99177 | − | 3.44984i | −0.0635599 | − | 0.110089i | ||||
\(983\) | −16.4458 | + | 28.4850i | −0.524541 | + | 0.908531i | 0.475051 | + | 0.879958i | \(0.342430\pi\) |
−0.999592 | + | 0.0285730i | \(0.990904\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 5.23884 | + | 9.07393i | 0.166923 | + | 0.289120i | ||||
\(986\) | −7.22450 | −0.230075 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −4.74650 | −0.151006 | ||||||||
\(989\) | −23.5758 | − | 40.8345i | −0.749667 | − | 1.29846i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 19.6589 | − | 34.0503i | 0.624487 | − | 1.08164i | −0.364153 | − | 0.931339i | \(-0.618641\pi\) |
0.988640 | − | 0.150304i | \(-0.0480252\pi\) | |||||||
\(992\) | 6.74118 | + | 11.6761i | 0.214033 | + | 0.370716i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 45.0894 | + | 6.27937i | 1.43015 | + | 0.199170i | ||||
\(995\) | −33.3882 | −1.05848 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 19.3188 | − | 33.4611i | 0.611832 | − | 1.05972i | −0.379099 | − | 0.925356i | \(-0.623766\pi\) |
0.990931 | − | 0.134368i | \(-0.0429006\pi\) | |||||||
\(998\) | 31.3157 | − | 54.2403i | 0.991280 | − | 1.71695i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 1071.2.i.g.613.1 | 10 | ||
3.2 | odd | 2 | 357.2.i.f.256.5 | yes | 10 | ||
7.2 | even | 3 | inner | 1071.2.i.g.919.1 | 10 | ||
7.3 | odd | 6 | 7497.2.a.bw.1.5 | 5 | |||
7.4 | even | 3 | 7497.2.a.bv.1.5 | 5 | |||
21.2 | odd | 6 | 357.2.i.f.205.5 | ✓ | 10 | ||
21.11 | odd | 6 | 2499.2.a.ba.1.1 | 5 | |||
21.17 | even | 6 | 2499.2.a.bb.1.1 | 5 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
357.2.i.f.205.5 | ✓ | 10 | 21.2 | odd | 6 | ||
357.2.i.f.256.5 | yes | 10 | 3.2 | odd | 2 | ||
1071.2.i.g.613.1 | 10 | 1.1 | even | 1 | trivial | ||
1071.2.i.g.919.1 | 10 | 7.2 | even | 3 | inner | ||
2499.2.a.ba.1.1 | 5 | 21.11 | odd | 6 | |||
2499.2.a.bb.1.1 | 5 | 21.17 | even | 6 | |||
7497.2.a.bv.1.5 | 5 | 7.4 | even | 3 | |||
7497.2.a.bw.1.5 | 5 | 7.3 | odd | 6 |