Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(19,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 10, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.by (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 115.4 | ||
Character | \(\chi\) | \(=\) | 546.115 |
Dual form | 546.2.by.a.19.4 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(1\) | \(e\left(\frac{7}{12}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.965926 | + | 0.258819i | −0.683013 | + | 0.183013i | ||||
\(3\) | − | 1.00000i | − | 0.577350i | ||||||
\(4\) | 0.866025 | − | 0.500000i | 0.433013 | − | 0.250000i | ||||
\(5\) | 3.74075 | + | 1.00233i | 1.67291 | + | 0.448256i | 0.965894 | − | 0.258939i | \(-0.0833729\pi\) |
0.707019 | + | 0.707195i | \(0.250040\pi\) | |||||||
\(6\) | 0.258819 | + | 0.965926i | 0.105662 | + | 0.394338i | ||||
\(7\) | −2.20451 | − | 1.46293i | −0.833225 | − | 0.552935i | ||||
\(8\) | −0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | ||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | −3.87271 | −1.22466 | ||||||||
\(11\) | 3.02557 | − | 3.02557i | 0.912243 | − | 0.912243i | −0.0842056 | − | 0.996448i | \(-0.526835\pi\) |
0.996448 | + | 0.0842056i | \(0.0268353\pi\) | |||||||
\(12\) | −0.500000 | − | 0.866025i | −0.144338 | − | 0.250000i | ||||
\(13\) | 3.26846 | + | 1.52222i | 0.906508 | + | 0.422189i | ||||
\(14\) | 2.50802 | + | 0.842511i | 0.670297 | + | 0.225171i | ||||
\(15\) | 1.00233 | − | 3.74075i | 0.258800 | − | 0.965856i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | 0.792138 | + | 1.37202i | 0.192122 | + | 0.332764i | 0.945953 | − | 0.324303i | \(-0.105130\pi\) |
−0.753832 | + | 0.657068i | \(0.771797\pi\) | |||||||
\(18\) | 0.965926 | − | 0.258819i | 0.227671 | − | 0.0610042i | ||||
\(19\) | 0.254457 | − | 0.254457i | 0.0583765 | − | 0.0583765i | −0.677316 | − | 0.735692i | \(-0.736857\pi\) |
0.735692 | + | 0.677316i | \(0.236857\pi\) | |||||||
\(20\) | 3.74075 | − | 1.00233i | 0.836456 | − | 0.224128i | ||||
\(21\) | −1.46293 | + | 2.20451i | −0.319237 | + | 0.481062i | ||||
\(22\) | −2.13940 | + | 3.70555i | −0.456121 | + | 0.790025i | ||||
\(23\) | −6.12520 | − | 3.53639i | −1.27719 | − | 0.737388i | −0.300862 | − | 0.953668i | \(-0.597274\pi\) |
−0.976331 | + | 0.216280i | \(0.930608\pi\) | |||||||
\(24\) | 0.707107 | + | 0.707107i | 0.144338 | + | 0.144338i | ||||
\(25\) | 8.65839 | + | 4.99892i | 1.73168 | + | 0.999785i | ||||
\(26\) | −3.55107 | − | 0.624415i | −0.696422 | − | 0.122458i | ||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | −2.64062 | − | 0.164680i | −0.499031 | − | 0.0311215i | ||||
\(29\) | −2.17009 | − | 3.75870i | −0.402975 | − | 0.697974i | 0.591108 | − | 0.806592i | \(-0.298691\pi\) |
−0.994084 | + | 0.108618i | \(0.965357\pi\) | |||||||
\(30\) | 3.87271i | 0.707056i | ||||||||
\(31\) | 0.968081 | + | 3.61293i | 0.173873 | + | 0.648901i | 0.996741 | + | 0.0806691i | \(0.0257057\pi\) |
−0.822868 | + | 0.568232i | \(0.807628\pi\) | |||||||
\(32\) | −0.258819 | + | 0.965926i | −0.0457532 | + | 0.170753i | ||||
\(33\) | −3.02557 | − | 3.02557i | −0.526684 | − | 0.526684i | ||||
\(34\) | −1.12025 | − | 1.12025i | −0.192122 | − | 0.192122i | ||||
\(35\) | −6.78016 | − | 7.68208i | −1.14606 | − | 1.29851i | ||||
\(36\) | −0.866025 | + | 0.500000i | −0.144338 | + | 0.0833333i | ||||
\(37\) | −0.503317 | − | 1.87840i | −0.0827447 | − | 0.308808i | 0.912133 | − | 0.409895i | \(-0.134435\pi\) |
−0.994878 | + | 0.101087i | \(0.967768\pi\) | |||||||
\(38\) | −0.179928 | + | 0.311645i | −0.0291882 | + | 0.0505555i | ||||
\(39\) | 1.52222 | − | 3.26846i | 0.243751 | − | 0.523373i | ||||
\(40\) | −3.35386 | + | 1.93635i | −0.530292 | + | 0.306164i | ||||
\(41\) | 5.14204 | + | 1.37781i | 0.803052 | + | 0.215177i | 0.636924 | − | 0.770927i | \(-0.280207\pi\) |
0.166129 | + | 0.986104i | \(0.446873\pi\) | |||||||
\(42\) | 0.842511 | − | 2.50802i | 0.130002 | − | 0.386996i | ||||
\(43\) | 7.57309 | + | 4.37232i | 1.15488 | + | 0.666773i | 0.950073 | − | 0.312028i | \(-0.101008\pi\) |
0.204812 | + | 0.978801i | \(0.434342\pi\) | |||||||
\(44\) | 1.10743 | − | 4.13300i | 0.166952 | − | 0.623073i | ||||
\(45\) | −3.74075 | − | 1.00233i | −0.557637 | − | 0.149419i | ||||
\(46\) | 6.83178 | + | 1.83057i | 1.00729 | + | 0.269903i | ||||
\(47\) | 0.515596 | − | 1.92423i | 0.0752074 | − | 0.280678i | −0.918073 | − | 0.396412i | \(-0.870255\pi\) |
0.993280 | + | 0.115734i | \(0.0369220\pi\) | |||||||
\(48\) | −0.866025 | − | 0.500000i | −0.125000 | − | 0.0721688i | ||||
\(49\) | 2.71969 | + | 6.45006i | 0.388527 | + | 0.921437i | ||||
\(50\) | −9.65718 | − | 2.58763i | −1.36573 | − | 0.365947i | ||||
\(51\) | 1.37202 | − | 0.792138i | 0.192122 | − | 0.110921i | ||||
\(52\) | 3.59168 | − | 0.315946i | 0.498077 | − | 0.0438138i | ||||
\(53\) | 4.42114 | − | 7.65764i | 0.607290 | − | 1.05186i | −0.384395 | − | 0.923169i | \(-0.625590\pi\) |
0.991685 | − | 0.128689i | \(-0.0410767\pi\) | |||||||
\(54\) | −0.258819 | − | 0.965926i | −0.0352208 | − | 0.131446i | ||||
\(55\) | 14.3505 | − | 8.28526i | 1.93502 | − | 1.11718i | ||||
\(56\) | 2.59327 | − | 0.524375i | 0.346540 | − | 0.0700725i | ||||
\(57\) | −0.254457 | − | 0.254457i | −0.0337037 | − | 0.0337037i | ||||
\(58\) | 3.06897 | + | 3.06897i | 0.402975 | + | 0.402975i | ||||
\(59\) | 2.31356 | − | 8.63432i | 0.301200 | − | 1.12409i | −0.634968 | − | 0.772539i | \(-0.718987\pi\) |
0.936167 | − | 0.351554i | \(-0.114347\pi\) | |||||||
\(60\) | −1.00233 | − | 3.74075i | −0.129400 | − | 0.482928i | ||||
\(61\) | − | 5.95308i | − | 0.762214i | −0.924531 | − | 0.381107i | \(-0.875543\pi\) | ||
0.924531 | − | 0.381107i | \(-0.124457\pi\) | |||||||
\(62\) | −1.87019 | − | 3.23926i | −0.237514 | − | 0.411387i | ||||
\(63\) | 2.20451 | + | 1.46293i | 0.277742 | + | 0.184312i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | 10.7007 | + | 8.97033i | 1.32726 | + | 1.11263i | ||||
\(66\) | 3.70555 | + | 2.13940i | 0.456121 | + | 0.263342i | ||||
\(67\) | −8.80073 | − | 8.80073i | −1.07518 | − | 1.07518i | −0.996934 | − | 0.0782458i | \(-0.975068\pi\) |
−0.0782458 | − | 0.996934i | \(-0.524932\pi\) | |||||||
\(68\) | 1.37202 | + | 0.792138i | 0.166382 | + | 0.0960608i | ||||
\(69\) | −3.53639 | + | 6.12520i | −0.425731 | + | 0.737388i | ||||
\(70\) | 8.53740 | + | 5.66549i | 1.02041 | + | 0.677155i | ||||
\(71\) | 4.41410 | − | 1.18275i | 0.523857 | − | 0.140367i | 0.0128072 | − | 0.999918i | \(-0.495923\pi\) |
0.511050 | + | 0.859551i | \(0.329257\pi\) | |||||||
\(72\) | 0.707107 | − | 0.707107i | 0.0833333 | − | 0.0833333i | ||||
\(73\) | −8.88186 | + | 2.37989i | −1.03954 | + | 0.278545i | −0.737924 | − | 0.674884i | \(-0.764194\pi\) |
−0.301619 | + | 0.953429i | \(0.597527\pi\) | |||||||
\(74\) | 0.972333 | + | 1.68413i | 0.113031 | + | 0.195776i | ||||
\(75\) | 4.99892 | − | 8.65839i | 0.577226 | − | 0.999785i | ||||
\(76\) | 0.0931378 | − | 0.347595i | 0.0106836 | − | 0.0398719i | ||||
\(77\) | −11.0961 | + | 2.24369i | −1.26451 | + | 0.255693i | ||||
\(78\) | −0.624415 | + | 3.55107i | −0.0707011 | + | 0.402080i | ||||
\(79\) | 8.16932 | + | 14.1497i | 0.919120 | + | 1.59196i | 0.800755 | + | 0.598993i | \(0.204432\pi\) |
0.118365 | + | 0.992970i | \(0.462235\pi\) | |||||||
\(80\) | 2.73842 | − | 2.73842i | 0.306164 | − | 0.306164i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −5.32344 | −0.587875 | ||||||||
\(83\) | −9.65709 | + | 9.65709i | −1.06000 | + | 1.06000i | −0.0619219 | + | 0.998081i | \(0.519723\pi\) |
−0.998081 | + | 0.0619219i | \(0.980277\pi\) | |||||||
\(84\) | −0.164680 | + | 2.64062i | −0.0179680 | + | 0.288115i | ||||
\(85\) | 1.58797 | + | 5.92637i | 0.172239 | + | 0.642805i | ||||
\(86\) | −8.44668 | − | 2.26328i | −0.910829 | − | 0.244056i | ||||
\(87\) | −3.75870 | + | 2.17009i | −0.402975 | + | 0.232658i | ||||
\(88\) | 4.27880i | 0.456121i | ||||||||
\(89\) | −15.8111 | + | 4.23657i | −1.67597 | + | 0.449076i | −0.966712 | − | 0.255869i | \(-0.917639\pi\) |
−0.709262 | + | 0.704945i | \(0.750972\pi\) | |||||||
\(90\) | 3.87271 | 0.408219 | ||||||||
\(91\) | −4.97844 | − | 8.13727i | −0.521882 | − | 0.853018i | ||||
\(92\) | −7.07278 | −0.737388 | ||||||||
\(93\) | 3.61293 | − | 0.968081i | 0.374643 | − | 0.100385i | ||||
\(94\) | 1.99211i | 0.205470i | ||||||||
\(95\) | 1.20691 | − | 0.696810i | 0.123826 | − | 0.0714912i | ||||
\(96\) | 0.965926 | + | 0.258819i | 0.0985844 | + | 0.0264156i | ||||
\(97\) | 2.68866 | + | 10.0342i | 0.272992 | + | 1.01882i | 0.957175 | + | 0.289510i | \(0.0934923\pi\) |
−0.684183 | + | 0.729310i | \(0.739841\pi\) | |||||||
\(98\) | −4.29641 | − | 5.52638i | −0.434003 | − | 0.558248i | ||||
\(99\) | −3.02557 | + | 3.02557i | −0.304081 | + | 0.304081i | ||||
\(100\) | 9.99785 | 0.999785 | ||||||||
\(101\) | 12.4787 | 1.24168 | 0.620840 | − | 0.783938i | \(-0.286792\pi\) | ||||
0.620840 | + | 0.783938i | \(0.286792\pi\) | |||||||
\(102\) | −1.12025 | + | 1.12025i | −0.110921 | + | 0.110921i | ||||
\(103\) | 0.784555 | + | 1.35889i | 0.0773045 | + | 0.133895i | 0.902086 | − | 0.431556i | \(-0.142035\pi\) |
−0.824782 | + | 0.565451i | \(0.808702\pi\) | |||||||
\(104\) | −3.38753 | + | 1.23478i | −0.332174 | + | 0.121080i | ||||
\(105\) | −7.68208 | + | 6.78016i | −0.749694 | + | 0.661676i | ||||
\(106\) | −2.28855 | + | 8.54098i | −0.222284 | + | 0.829574i | ||||
\(107\) | −4.32759 | + | 7.49560i | −0.418364 | + | 0.724627i | −0.995775 | − | 0.0918261i | \(-0.970730\pi\) |
0.577411 | + | 0.816453i | \(0.304063\pi\) | |||||||
\(108\) | 0.500000 | + | 0.866025i | 0.0481125 | + | 0.0833333i | ||||
\(109\) | −9.65675 | + | 2.58752i | −0.924949 | + | 0.247839i | −0.689699 | − | 0.724096i | \(-0.742257\pi\) |
−0.235249 | + | 0.971935i | \(0.575591\pi\) | |||||||
\(110\) | −11.7171 | + | 11.7171i | −1.11718 | + | 1.11718i | ||||
\(111\) | −1.87840 | + | 0.503317i | −0.178290 | + | 0.0477727i | ||||
\(112\) | −2.36918 | + | 1.17769i | −0.223867 | + | 0.111282i | ||||
\(113\) | −1.11853 | + | 1.93735i | −0.105223 | + | 0.182251i | −0.913829 | − | 0.406099i | \(-0.866889\pi\) |
0.808607 | + | 0.588350i | \(0.200222\pi\) | |||||||
\(114\) | 0.311645 | + | 0.179928i | 0.0291882 | + | 0.0168518i | ||||
\(115\) | −19.3682 | − | 19.3682i | −1.80609 | − | 1.80609i | ||||
\(116\) | −3.75870 | − | 2.17009i | −0.348987 | − | 0.201488i | ||||
\(117\) | −3.26846 | − | 1.52222i | −0.302169 | − | 0.140730i | ||||
\(118\) | 8.93891i | 0.822893i | ||||||||
\(119\) | 0.260898 | − | 4.18347i | 0.0239165 | − | 0.383498i | ||||
\(120\) | 1.93635 | + | 3.35386i | 0.176764 | + | 0.306164i | ||||
\(121\) | − | 7.30811i | − | 0.664374i | ||||||
\(122\) | 1.54077 | + | 5.75024i | 0.139495 | + | 0.520602i | ||||
\(123\) | 1.37781 | − | 5.14204i | 0.124233 | − | 0.463642i | ||||
\(124\) | 2.64485 | + | 2.64485i | 0.237514 | + | 0.237514i | ||||
\(125\) | 13.6862 | + | 13.6862i | 1.22413 | + | 1.22413i | ||||
\(126\) | −2.50802 | − | 0.842511i | −0.223432 | − | 0.0750569i | ||||
\(127\) | −16.0382 | + | 9.25967i | −1.42316 | + | 0.821662i | −0.996568 | − | 0.0827811i | \(-0.973620\pi\) |
−0.426593 | + | 0.904444i | \(0.640286\pi\) | |||||||
\(128\) | 0.258819 | + | 0.965926i | 0.0228766 | + | 0.0853766i | ||||
\(129\) | 4.37232 | − | 7.57309i | 0.384962 | − | 0.666773i | ||||
\(130\) | −12.6578 | − | 5.89512i | −1.11016 | − | 0.517037i | ||||
\(131\) | 11.1843 | − | 6.45723i | 0.977173 | − | 0.564171i | 0.0757577 | − | 0.997126i | \(-0.475862\pi\) |
0.901416 | + | 0.432955i | \(0.142529\pi\) | |||||||
\(132\) | −4.13300 | − | 1.10743i | −0.359732 | − | 0.0963898i | ||||
\(133\) | −0.933205 | + | 0.188700i | −0.0809191 | + | 0.0163624i | ||||
\(134\) | 10.7786 | + | 6.22305i | 0.931133 | + | 0.537590i | ||||
\(135\) | −1.00233 | + | 3.74075i | −0.0862668 | + | 0.321952i | ||||
\(136\) | −1.53029 | − | 0.410041i | −0.131222 | − | 0.0351607i | ||||
\(137\) | −8.55322 | − | 2.29183i | −0.730751 | − | 0.195804i | −0.125787 | − | 0.992057i | \(-0.540146\pi\) |
−0.604963 | + | 0.796253i | \(0.706812\pi\) | |||||||
\(138\) | 1.83057 | − | 6.83178i | 0.155828 | − | 0.581559i | ||||
\(139\) | −0.440191 | − | 0.254144i | −0.0373365 | − | 0.0215562i | 0.481216 | − | 0.876602i | \(-0.340195\pi\) |
−0.518552 | + | 0.855046i | \(0.673529\pi\) | |||||||
\(140\) | −9.71283 | − | 3.26280i | −0.820884 | − | 0.275757i | ||||
\(141\) | −1.92423 | − | 0.515596i | −0.162049 | − | 0.0434210i | ||||
\(142\) | −3.95758 | + | 2.28491i | −0.332112 | + | 0.191745i | ||||
\(143\) | 14.4945 | − | 5.28336i | 1.21209 | − | 0.441817i | ||||
\(144\) | −0.500000 | + | 0.866025i | −0.0416667 | + | 0.0721688i | ||||
\(145\) | −4.35029 | − | 16.2355i | −0.361272 | − | 1.34829i | ||||
\(146\) | 7.96326 | − | 4.59759i | 0.659044 | − | 0.380499i | ||||
\(147\) | 6.45006 | − | 2.71969i | 0.531992 | − | 0.224316i | ||||
\(148\) | −1.37509 | − | 1.37509i | −0.113031 | − | 0.113031i | ||||
\(149\) | −12.3997 | − | 12.3997i | −1.01582 | − | 1.01582i | −0.999873 | − | 0.0159487i | \(-0.994923\pi\) |
−0.0159487 | − | 0.999873i | \(-0.505077\pi\) | |||||||
\(150\) | −2.58763 | + | 9.65718i | −0.211279 | + | 0.788505i | ||||
\(151\) | 5.92821 | + | 22.1244i | 0.482431 | + | 1.80046i | 0.591360 | + | 0.806408i | \(0.298591\pi\) |
−0.108928 | + | 0.994050i | \(0.534742\pi\) | |||||||
\(152\) | 0.359857i | 0.0291882i | ||||||||
\(153\) | −0.792138 | − | 1.37202i | −0.0640405 | − | 0.110921i | ||||
\(154\) | 10.1373 | − | 5.03911i | 0.816884 | − | 0.406063i | ||||
\(155\) | 14.4854i | 1.16349i | ||||||||
\(156\) | −0.315946 | − | 3.59168i | −0.0252959 | − | 0.287565i | ||||
\(157\) | −0.568262 | − | 0.328086i | −0.0453523 | − | 0.0261841i | 0.477152 | − | 0.878821i | \(-0.341669\pi\) |
−0.522505 | + | 0.852636i | \(0.675002\pi\) | |||||||
\(158\) | −11.5532 | − | 11.5532i | −0.919120 | − | 0.919120i | ||||
\(159\) | −7.65764 | − | 4.42114i | −0.607290 | − | 0.350619i | ||||
\(160\) | −1.93635 | + | 3.35386i | −0.153082 | + | 0.265146i | ||||
\(161\) | 8.32956 | + | 16.7567i | 0.656462 | + | 1.32061i | ||||
\(162\) | −0.965926 | + | 0.258819i | −0.0758903 | + | 0.0203347i | ||||
\(163\) | −13.9241 | + | 13.9241i | −1.09062 | + | 1.09062i | −0.0951546 | + | 0.995463i | \(0.530335\pi\) |
−0.995463 | + | 0.0951546i | \(0.969665\pi\) | |||||||
\(164\) | 5.14204 | − | 1.37781i | 0.401526 | − | 0.107589i | ||||
\(165\) | −8.28526 | − | 14.3505i | −0.645007 | − | 1.11718i | ||||
\(166\) | 6.82859 | − | 11.8275i | 0.530001 | − | 0.917989i | ||||
\(167\) | −3.53213 | + | 13.1821i | −0.273325 | + | 1.02006i | 0.683631 | + | 0.729828i | \(0.260400\pi\) |
−0.956956 | + | 0.290234i | \(0.906267\pi\) | |||||||
\(168\) | −0.524375 | − | 2.59327i | −0.0404564 | − | 0.200075i | ||||
\(169\) | 8.36567 | + | 9.95066i | 0.643513 | + | 0.765435i | ||||
\(170\) | −3.06772 | − | 5.31344i | −0.235283 | − | 0.407522i | ||||
\(171\) | −0.254457 | + | 0.254457i | −0.0194588 | + | 0.0194588i | ||||
\(172\) | 8.74465 | 0.666773 | ||||||||
\(173\) | 17.6805 | 1.34422 | 0.672112 | − | 0.740450i | \(-0.265387\pi\) | ||||
0.672112 | + | 0.740450i | \(0.265387\pi\) | |||||||
\(174\) | 3.06897 | − | 3.06897i | 0.232658 | − | 0.232658i | ||||
\(175\) | −11.7744 | − | 23.6867i | −0.890061 | − | 1.79055i | ||||
\(176\) | −1.10743 | − | 4.13300i | −0.0834760 | − | 0.311537i | ||||
\(177\) | −8.63432 | − | 2.31356i | −0.648996 | − | 0.173898i | ||||
\(178\) | 14.1759 | − | 8.18443i | 1.06252 | − | 0.613449i | ||||
\(179\) | 1.47632i | 0.110345i | 0.998477 | + | 0.0551726i | \(0.0175709\pi\) | ||||
−0.998477 | + | 0.0551726i | \(0.982429\pi\) | |||||||
\(180\) | −3.74075 | + | 1.00233i | −0.278819 | + | 0.0747093i | ||||
\(181\) | −14.3938 | −1.06988 | −0.534941 | − | 0.844889i | \(-0.679666\pi\) | ||||
−0.534941 | + | 0.844889i | \(0.679666\pi\) | |||||||
\(182\) | 6.91488 | + | 6.57149i | 0.512565 | + | 0.487111i | ||||
\(183\) | −5.95308 | −0.440065 | ||||||||
\(184\) | 6.83178 | − | 1.83057i | 0.503645 | − | 0.134951i | ||||
\(185\) | − | 7.53112i | − | 0.553699i | ||||||
\(186\) | −3.23926 | + | 1.87019i | −0.237514 | + | 0.137129i | ||||
\(187\) | 6.54781 | + | 1.75448i | 0.478824 | + | 0.128300i | ||||
\(188\) | −0.515596 | − | 1.92423i | −0.0376037 | − | 0.140339i | ||||
\(189\) | 1.46293 | − | 2.20451i | 0.106412 | − | 0.160354i | ||||
\(190\) | −0.985438 | + | 0.985438i | −0.0714912 | + | 0.0714912i | ||||
\(191\) | 0.654823 | 0.0473813 | 0.0236907 | − | 0.999719i | \(-0.492458\pi\) | ||||
0.0236907 | + | 0.999719i | \(0.492458\pi\) | |||||||
\(192\) | −1.00000 | −0.0721688 | ||||||||
\(193\) | −2.35226 | + | 2.35226i | −0.169319 | + | 0.169319i | −0.786680 | − | 0.617361i | \(-0.788202\pi\) |
0.617361 | + | 0.786680i | \(0.288202\pi\) | |||||||
\(194\) | −5.19409 | − | 8.99643i | −0.372914 | − | 0.645906i | ||||
\(195\) | 8.97033 | − | 10.7007i | 0.642379 | − | 0.766294i | ||||
\(196\) | 5.58035 | + | 4.22607i | 0.398596 | + | 0.301862i | ||||
\(197\) | −2.47071 | + | 9.22081i | −0.176031 | + | 0.656955i | 0.820343 | + | 0.571872i | \(0.193782\pi\) |
−0.996374 | + | 0.0850838i | \(0.972884\pi\) | |||||||
\(198\) | 2.13940 | − | 3.70555i | 0.152040 | − | 0.263342i | ||||
\(199\) | −7.92030 | − | 13.7184i | −0.561455 | − | 0.972469i | −0.997370 | − | 0.0724809i | \(-0.976908\pi\) |
0.435915 | − | 0.899988i | \(-0.356425\pi\) | |||||||
\(200\) | −9.65718 | + | 2.58763i | −0.682866 | + | 0.182973i | ||||
\(201\) | −8.80073 | + | 8.80073i | −0.620755 | + | 0.620755i | ||||
\(202\) | −12.0535 | + | 3.22973i | −0.848083 | + | 0.227243i | ||||
\(203\) | −0.714739 | + | 11.4608i | −0.0501649 | + | 0.804388i | ||||
\(204\) | 0.792138 | − | 1.37202i | 0.0554607 | − | 0.0960608i | ||||
\(205\) | 17.8541 | + | 10.3080i | 1.24698 | + | 0.719945i | ||||
\(206\) | −1.10953 | − | 1.10953i | −0.0773045 | − | 0.0773045i | ||||
\(207\) | 6.12520 | + | 3.53639i | 0.425731 | + | 0.245796i | ||||
\(208\) | 2.95251 | − | 2.06946i | 0.204720 | − | 0.143491i | ||||
\(209\) | − | 1.53975i | − | 0.106507i | ||||||
\(210\) | 5.66549 | − | 8.53740i | 0.390956 | − | 0.589136i | ||||
\(211\) | 3.78670 | + | 6.55876i | 0.260687 | + | 0.451524i | 0.966425 | − | 0.256950i | \(-0.0827175\pi\) |
−0.705737 | + | 0.708473i | \(0.749384\pi\) | |||||||
\(212\) | − | 8.84228i | − | 0.607290i | ||||||
\(213\) | −1.18275 | − | 4.41410i | −0.0810410 | − | 0.302449i | ||||
\(214\) | 2.24012 | − | 8.36026i | 0.153132 | − | 0.571496i | ||||
\(215\) | 23.9465 | + | 23.9465i | 1.63314 | + | 1.63314i | ||||
\(216\) | −0.707107 | − | 0.707107i | −0.0481125 | − | 0.0481125i | ||||
\(217\) | 3.15131 | − | 9.38095i | 0.213925 | − | 0.636820i | ||||
\(218\) | 8.65800 | − | 4.99870i | 0.586394 | − | 0.338555i | ||||
\(219\) | 2.37989 | + | 8.88186i | 0.160818 | + | 0.600180i | ||||
\(220\) | 8.28526 | − | 14.3505i | 0.558592 | − | 0.967510i | ||||
\(221\) | 0.500546 | + | 5.69021i | 0.0336703 | + | 0.382765i | ||||
\(222\) | 1.68413 | − | 0.972333i | 0.113031 | − | 0.0652587i | ||||
\(223\) | 13.7367 | + | 3.68073i | 0.919877 | + | 0.246480i | 0.687533 | − | 0.726154i | \(-0.258694\pi\) |
0.232344 | + | 0.972634i | \(0.425361\pi\) | |||||||
\(224\) | 1.98365 | − | 1.75076i | 0.132538 | − | 0.116977i | ||||
\(225\) | −8.65839 | − | 4.99892i | −0.577226 | − | 0.333262i | ||||
\(226\) | 0.578994 | − | 2.16084i | 0.0385141 | − | 0.143737i | ||||
\(227\) | −25.6700 | − | 6.87826i | −1.70378 | − | 0.456526i | −0.729893 | − | 0.683561i | \(-0.760430\pi\) |
−0.973887 | + | 0.227035i | \(0.927097\pi\) | |||||||
\(228\) | −0.347595 | − | 0.0931378i | −0.0230200 | − | 0.00616820i | ||||
\(229\) | 1.60726 | − | 5.99836i | 0.106211 | − | 0.396383i | −0.892269 | − | 0.451504i | \(-0.850888\pi\) |
0.998480 | + | 0.0551208i | \(0.0175544\pi\) | |||||||
\(230\) | 23.7211 | + | 13.6954i | 1.56412 | + | 0.903047i | ||||
\(231\) | 2.24369 | + | 11.0961i | 0.147624 | + | 0.730067i | ||||
\(232\) | 4.19229 | + | 1.12332i | 0.275237 | + | 0.0737496i | ||||
\(233\) | −15.8168 | + | 9.13186i | −1.03620 | + | 0.598248i | −0.918753 | − | 0.394832i | \(-0.870803\pi\) |
−0.117442 | + | 0.993080i | \(0.537469\pi\) | |||||||
\(234\) | 3.55107 | + | 0.624415i | 0.232141 | + | 0.0408193i | ||||
\(235\) | 3.85743 | − | 6.68126i | 0.251631 | − | 0.435837i | ||||
\(236\) | −2.31356 | − | 8.63432i | −0.150600 | − | 0.562047i | ||||
\(237\) | 14.1497 | − | 8.16932i | 0.919120 | − | 0.530654i | ||||
\(238\) | 0.830754 | + | 4.10845i | 0.0538498 | + | 0.266311i | ||||
\(239\) | 0.158134 | + | 0.158134i | 0.0102288 | + | 0.0102288i | 0.712203 | − | 0.701974i | \(-0.247698\pi\) |
−0.701974 | + | 0.712203i | \(0.747698\pi\) | |||||||
\(240\) | −2.73842 | − | 2.73842i | −0.176764 | − | 0.176764i | ||||
\(241\) | −3.45246 | + | 12.8848i | −0.222393 | + | 0.829981i | 0.761040 | + | 0.648705i | \(0.224689\pi\) |
−0.983432 | + | 0.181275i | \(0.941977\pi\) | |||||||
\(242\) | 1.89148 | + | 7.05909i | 0.121589 | + | 0.453776i | ||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | −2.97654 | − | 5.15552i | −0.190554 | − | 0.330049i | ||||
\(245\) | 3.70857 | + | 26.8541i | 0.236932 | + | 1.71564i | ||||
\(246\) | 5.32344i | 0.339410i | ||||||||
\(247\) | 1.21902 | − | 0.444343i | 0.0775647 | − | 0.0282728i | ||||
\(248\) | −3.23926 | − | 1.87019i | −0.205693 | − | 0.118757i | ||||
\(249\) | 9.65709 | + | 9.65709i | 0.611993 | + | 0.611993i | ||||
\(250\) | −16.7621 | − | 9.67759i | −1.06013 | − | 0.612065i | ||||
\(251\) | 2.49027 | − | 4.31328i | 0.157184 | − | 0.272252i | −0.776668 | − | 0.629910i | \(-0.783092\pi\) |
0.933852 | + | 0.357659i | \(0.116425\pi\) | |||||||
\(252\) | 2.64062 | + | 0.164680i | 0.166344 | + | 0.0103738i | ||||
\(253\) | −29.2318 | + | 7.83264i | −1.83779 | + | 0.492434i | ||||
\(254\) | 13.0951 | − | 13.0951i | 0.821662 | − | 0.821662i | ||||
\(255\) | 5.92637 | − | 1.58797i | 0.371124 | − | 0.0994423i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −3.79093 | + | 6.56609i | −0.236472 | + | 0.409581i | −0.959699 | − | 0.281029i | \(-0.909324\pi\) |
0.723228 | + | 0.690610i | \(0.242658\pi\) | |||||||
\(258\) | −2.26328 | + | 8.44668i | −0.140906 | + | 0.525867i | ||||
\(259\) | −1.63840 | + | 4.87727i | −0.101805 | + | 0.303059i | ||||
\(260\) | 13.7523 | + | 2.41818i | 0.852878 | + | 0.149969i | ||||
\(261\) | 2.17009 | + | 3.75870i | 0.134325 | + | 0.232658i | ||||
\(262\) | −9.13191 | + | 9.13191i | −0.564171 | + | 0.564171i | ||||
\(263\) | −25.9242 | −1.59856 | −0.799278 | − | 0.600962i | \(-0.794784\pi\) | ||||
−0.799278 | + | 0.600962i | \(0.794784\pi\) | |||||||
\(264\) | 4.27880 | 0.263342 | ||||||||
\(265\) | 24.2138 | − | 24.2138i | 1.48744 | − | 1.48744i | ||||
\(266\) | 0.852568 | − | 0.423801i | 0.0522743 | − | 0.0259849i | ||||
\(267\) | 4.23657 | + | 15.8111i | 0.259274 | + | 0.967624i | ||||
\(268\) | −12.0220 | − | 3.22129i | −0.734362 | − | 0.196772i | ||||
\(269\) | 8.29785 | − | 4.79077i | 0.505929 | − | 0.292098i | −0.225230 | − | 0.974306i | \(-0.572313\pi\) |
0.731159 | + | 0.682207i | \(0.238980\pi\) | |||||||
\(270\) | − | 3.87271i | − | 0.235685i | ||||||
\(271\) | 12.5689 | − | 3.36783i | 0.763507 | − | 0.204581i | 0.144006 | − | 0.989577i | \(-0.454002\pi\) |
0.619501 | + | 0.784996i | \(0.287335\pi\) | |||||||
\(272\) | 1.58428 | 0.0960608 | ||||||||
\(273\) | −8.13727 | + | 4.97844i | −0.492490 | + | 0.301309i | ||||
\(274\) | 8.85494 | 0.534947 | ||||||||
\(275\) | 41.3211 | − | 11.0720i | 2.49176 | − | 0.667664i | ||||
\(276\) | 7.07278i | 0.425731i | ||||||||
\(277\) | −8.14723 | + | 4.70380i | −0.489519 | + | 0.282624i | −0.724375 | − | 0.689406i | \(-0.757872\pi\) |
0.234856 | + | 0.972030i | \(0.424538\pi\) | |||||||
\(278\) | 0.490969 | + | 0.131555i | 0.0294464 | + | 0.00789013i | ||||
\(279\) | −0.968081 | − | 3.61293i | −0.0579575 | − | 0.216300i | ||||
\(280\) | 10.2263 | + | 0.637756i | 0.611141 | + | 0.0381132i | ||||
\(281\) | −6.76237 | + | 6.76237i | −0.403409 | + | 0.403409i | −0.879433 | − | 0.476024i | \(-0.842078\pi\) |
0.476024 | + | 0.879433i | \(0.342078\pi\) | |||||||
\(282\) | 1.99211 | 0.118628 | ||||||||
\(283\) | 2.35306 | 0.139875 | 0.0699375 | − | 0.997551i | \(-0.477720\pi\) | ||||
0.0699375 | + | 0.997551i | \(0.477720\pi\) | |||||||
\(284\) | 3.23135 | − | 3.23135i | 0.191745 | − | 0.191745i | ||||
\(285\) | −0.696810 | − | 1.20691i | −0.0412755 | − | 0.0714912i | ||||
\(286\) | −12.6332 | + | 8.85479i | −0.747018 | + | 0.523595i | ||||
\(287\) | −9.32003 | − | 10.5598i | −0.550144 | − | 0.623326i | ||||
\(288\) | 0.258819 | − | 0.965926i | 0.0152511 | − | 0.0569177i | ||||
\(289\) | 7.24504 | − | 12.5488i | 0.426179 | − | 0.738163i | ||||
\(290\) | 8.40412 | + | 14.5564i | 0.493507 | + | 0.854779i | ||||
\(291\) | 10.0342 | − | 2.68866i | 0.588216 | − | 0.157612i | ||||
\(292\) | −6.50197 | + | 6.50197i | −0.380499 | + | 0.380499i | ||||
\(293\) | 18.0335 | − | 4.83207i | 1.05353 | − | 0.282292i | 0.309820 | − | 0.950795i | \(-0.399731\pi\) |
0.743710 | + | 0.668503i | \(0.233065\pi\) | |||||||
\(294\) | −5.52638 | + | 4.29641i | −0.322305 | + | 0.250572i | ||||
\(295\) | 17.3089 | − | 29.9799i | 1.00776 | − | 1.74550i | ||||
\(296\) | 1.68413 | + | 0.972333i | 0.0978881 | + | 0.0565157i | ||||
\(297\) | 3.02557 | + | 3.02557i | 0.175561 | + | 0.175561i | ||||
\(298\) | 15.1864 | + | 8.76790i | 0.879727 | + | 0.507911i | ||||
\(299\) | −14.6368 | − | 20.8825i | −0.846469 | − | 1.20766i | ||||
\(300\) | − | 9.99785i | − | 0.577226i | ||||||
\(301\) | −10.2985 | − | 20.7177i | −0.593597 | − | 1.19415i | ||||
\(302\) | −11.4524 | − | 19.8362i | −0.659013 | − | 1.14144i | ||||
\(303\) | − | 12.4787i | − | 0.716884i | ||||||
\(304\) | −0.0931378 | − | 0.347595i | −0.00534182 | − | 0.0199359i | ||||
\(305\) | 5.96695 | − | 22.2690i | 0.341667 | − | 1.27512i | ||||
\(306\) | 1.12025 | + | 1.12025i | 0.0640405 | + | 0.0640405i | ||||
\(307\) | −1.49765 | − | 1.49765i | −0.0854756 | − | 0.0854756i | 0.663076 | − | 0.748552i | \(-0.269250\pi\) |
−0.748552 | + | 0.663076i | \(0.769250\pi\) | |||||||
\(308\) | −8.48763 | + | 7.49113i | −0.483627 | + | 0.426847i | ||||
\(309\) | 1.35889 | − | 0.784555i | 0.0773045 | − | 0.0446317i | ||||
\(310\) | −3.74909 | − | 13.9918i | −0.212934 | − | 0.794681i | ||||
\(311\) | 7.75912 | − | 13.4392i | 0.439979 | − | 0.762066i | −0.557708 | − | 0.830037i | \(-0.688319\pi\) |
0.997687 | + | 0.0679709i | \(0.0216525\pi\) | |||||||
\(312\) | 1.23478 | + | 3.38753i | 0.0699054 | + | 0.191781i | ||||
\(313\) | −1.50320 | + | 0.867872i | −0.0849658 | + | 0.0490550i | −0.541881 | − | 0.840455i | \(-0.682288\pi\) |
0.456915 | + | 0.889510i | \(0.348954\pi\) | |||||||
\(314\) | 0.633814 | + | 0.169830i | 0.0357682 | + | 0.00958406i | ||||
\(315\) | 6.78016 | + | 7.68208i | 0.382019 | + | 0.432836i | ||||
\(316\) | 14.1497 | + | 8.16932i | 0.795981 | + | 0.459560i | ||||
\(317\) | 8.77234 | − | 32.7388i | 0.492703 | − | 1.83879i | −0.0498267 | − | 0.998758i | \(-0.515867\pi\) |
0.542530 | − | 0.840036i | \(-0.317466\pi\) | |||||||
\(318\) | 8.54098 | + | 2.28855i | 0.478955 | + | 0.128335i | ||||
\(319\) | −17.9380 | − | 4.80646i | −1.00433 | − | 0.269110i | ||||
\(320\) | 1.00233 | − | 3.74075i | 0.0560319 | − | 0.209114i | ||||
\(321\) | 7.49560 | + | 4.32759i | 0.418364 | + | 0.241542i | ||||
\(322\) | −12.3827 | − | 14.0299i | −0.690061 | − | 0.781855i | ||||
\(323\) | 0.550686 | + | 0.147556i | 0.0306410 | + | 0.00821023i | ||||
\(324\) | 0.866025 | − | 0.500000i | 0.0481125 | − | 0.0277778i | ||||
\(325\) | 20.6901 | + | 29.5188i | 1.14768 | + | 1.63741i | ||||
\(326\) | 9.84580 | − | 17.0534i | 0.545309 | − | 0.944502i | ||||
\(327\) | 2.58752 | + | 9.65675i | 0.143090 | + | 0.534019i | ||||
\(328\) | −4.61023 | + | 2.66172i | −0.254557 | + | 0.146969i | ||||
\(329\) | −3.95164 | + | 3.48770i | −0.217861 | + | 0.192283i | ||||
\(330\) | 11.7171 | + | 11.7171i | 0.645007 | + | 0.645007i | ||||
\(331\) | 6.04854 | + | 6.04854i | 0.332458 | + | 0.332458i | 0.853519 | − | 0.521061i | \(-0.174464\pi\) |
−0.521061 | + | 0.853519i | \(0.674464\pi\) | |||||||
\(332\) | −3.53474 | + | 13.1918i | −0.193994 | + | 0.723995i | ||||
\(333\) | 0.503317 | + | 1.87840i | 0.0275816 | + | 0.102936i | ||||
\(334\) | − | 13.6471i | − | 0.746737i | ||||||
\(335\) | −24.1001 | − | 41.7425i | −1.31673 | − | 2.28064i | ||||
\(336\) | 1.17769 | + | 2.36918i | 0.0642485 | + | 0.129250i | ||||
\(337\) | − | 3.09226i | − | 0.168446i | −0.996447 | − | 0.0842230i | \(-0.973159\pi\) | ||
0.996447 | − | 0.0842230i | \(-0.0268408\pi\) | |||||||
\(338\) | −10.6560 | − | 7.44640i | −0.579612 | − | 0.405031i | ||||
\(339\) | 1.93735 | + | 1.11853i | 0.105223 | + | 0.0607503i | ||||
\(340\) | 4.33841 | + | 4.33841i | 0.235283 | + | 0.235283i | ||||
\(341\) | 13.8602 | + | 8.00216i | 0.750569 | + | 0.433341i | ||||
\(342\) | 0.179928 | − | 0.311645i | 0.00972942 | − | 0.0168518i | ||||
\(343\) | 3.44041 | − | 18.1979i | 0.185765 | − | 0.982594i | ||||
\(344\) | −8.44668 | + | 2.26328i | −0.455414 | + | 0.122028i | ||||
\(345\) | −19.3682 | + | 19.3682i | −1.04275 | + | 1.04275i | ||||
\(346\) | −17.0781 | + | 4.57605i | −0.918122 | + | 0.246010i | ||||
\(347\) | 4.19762 | + | 7.27048i | 0.225340 | + | 0.390300i | 0.956421 | − | 0.291990i | \(-0.0943174\pi\) |
−0.731082 | + | 0.682290i | \(0.760984\pi\) | |||||||
\(348\) | −2.17009 | + | 3.75870i | −0.116329 | + | 0.201488i | ||||
\(349\) | −4.98005 | + | 18.5858i | −0.266576 | + | 0.994874i | 0.694703 | + | 0.719297i | \(0.255536\pi\) |
−0.961279 | + | 0.275578i | \(0.911131\pi\) | |||||||
\(350\) | 17.5038 | + | 19.8322i | 0.935616 | + | 1.06008i | ||||
\(351\) | −1.52222 | + | 3.26846i | −0.0812503 | + | 0.174458i | ||||
\(352\) | 2.13940 | + | 3.70555i | 0.114030 | + | 0.197506i | ||||
\(353\) | −1.22448 | + | 1.22448i | −0.0651727 | + | 0.0651727i | −0.738942 | − | 0.673769i | \(-0.764674\pi\) |
0.673769 | + | 0.738942i | \(0.264674\pi\) | |||||||
\(354\) | 8.93891 | 0.475098 | ||||||||
\(355\) | 17.6975 | 0.939288 | ||||||||
\(356\) | −11.5745 | + | 11.5745i | −0.613449 | + | 0.613449i | ||||
\(357\) | −4.18347 | − | 0.260898i | −0.221413 | − | 0.0138082i | ||||
\(358\) | −0.382099 | − | 1.42601i | −0.0201946 | − | 0.0753671i | ||||
\(359\) | 9.75266 | + | 2.61322i | 0.514726 | + | 0.137920i | 0.506826 | − | 0.862048i | \(-0.330819\pi\) |
0.00789978 | + | 0.999969i | \(0.497485\pi\) | |||||||
\(360\) | 3.35386 | − | 1.93635i | 0.176764 | − | 0.102055i | ||||
\(361\) | 18.8705i | 0.993184i | ||||||||
\(362\) | 13.9033 | − | 3.72539i | 0.730744 | − | 0.195802i | ||||
\(363\) | −7.30811 | −0.383576 | ||||||||
\(364\) | −8.38009 | − | 4.55787i | −0.439236 | − | 0.238897i | ||||
\(365\) | −35.6102 | −1.86392 | ||||||||
\(366\) | 5.75024 | − | 1.54077i | 0.300570 | − | 0.0805374i | ||||
\(367\) | − | 7.11196i | − | 0.371241i | −0.982621 | − | 0.185621i | \(-0.940570\pi\) | ||
0.982621 | − | 0.185621i | \(-0.0594296\pi\) | |||||||
\(368\) | −6.12520 | + | 3.53639i | −0.319298 | + | 0.184347i | ||||
\(369\) | −5.14204 | − | 1.37781i | −0.267684 | − | 0.0717257i | ||||
\(370\) | 1.94920 | + | 7.27450i | 0.101334 | + | 0.378183i | ||||
\(371\) | −20.9490 | + | 10.4135i | −1.08762 | + | 0.540642i | ||||
\(372\) | 2.64485 | − | 2.64485i | 0.137129 | − | 0.137129i | ||||
\(373\) | 33.0514 | 1.71134 | 0.855668 | − | 0.517524i | \(-0.173146\pi\) | ||||
0.855668 | + | 0.517524i | \(0.173146\pi\) | |||||||
\(374\) | −6.77880 | −0.350523 | ||||||||
\(375\) | 13.6862 | − | 13.6862i | 0.706751 | − | 0.706751i | ||||
\(376\) | 0.996055 | + | 1.72522i | 0.0513676 | + | 0.0889713i | ||||
\(377\) | −1.37126 | − | 15.5885i | −0.0706236 | − | 0.802851i | ||||
\(378\) | −0.842511 | + | 2.50802i | −0.0433341 | + | 0.128999i | ||||
\(379\) | 8.08095 | − | 30.1585i | 0.415091 | − | 1.54914i | −0.369563 | − | 0.929206i | \(-0.620493\pi\) |
0.784654 | − | 0.619934i | \(-0.212841\pi\) | |||||||
\(380\) | 0.696810 | − | 1.20691i | 0.0357456 | − | 0.0619132i | ||||
\(381\) | 9.25967 | + | 16.0382i | 0.474387 | + | 0.821662i | ||||
\(382\) | −0.632510 | + | 0.169481i | −0.0323620 | + | 0.00867138i | ||||
\(383\) | 9.00186 | − | 9.00186i | 0.459973 | − | 0.459973i | −0.438673 | − | 0.898647i | \(-0.644551\pi\) |
0.898647 | + | 0.438673i | \(0.144551\pi\) | |||||||
\(384\) | 0.965926 | − | 0.258819i | 0.0492922 | − | 0.0132078i | ||||
\(385\) | −43.7565 | − | 2.72883i | −2.23004 | − | 0.139074i | ||||
\(386\) | 1.66330 | − | 2.88091i | 0.0846595 | − | 0.146635i | ||||
\(387\) | −7.57309 | − | 4.37232i | −0.384962 | − | 0.222258i | ||||
\(388\) | 7.34555 | + | 7.34555i | 0.372914 | + | 0.372914i | ||||
\(389\) | 19.2107 | + | 11.0913i | 0.974019 | + | 0.562350i | 0.900459 | − | 0.434941i | \(-0.143231\pi\) |
0.0735598 | + | 0.997291i | \(0.476564\pi\) | |||||||
\(390\) | −5.89512 | + | 12.6578i | −0.298511 | + | 0.640952i | ||||
\(391\) | − | 11.2052i | − | 0.566673i | ||||||
\(392\) | −6.48399 | − | 2.63777i | −0.327491 | − | 0.133228i | ||||
\(393\) | −6.45723 | − | 11.1843i | −0.325724 | − | 0.564171i | ||||
\(394\) | − | 9.54608i | − | 0.480925i | ||||||
\(395\) | 16.3767 | + | 61.1187i | 0.824001 | + | 3.07521i | ||||
\(396\) | −1.10743 | + | 4.13300i | −0.0556507 | + | 0.207691i | ||||
\(397\) | −3.59656 | − | 3.59656i | −0.180506 | − | 0.180506i | 0.611070 | − | 0.791576i | \(-0.290739\pi\) |
−0.791576 | + | 0.611070i | \(0.790739\pi\) | |||||||
\(398\) | 11.2010 | + | 11.2010i | 0.561455 | + | 0.561455i | ||||
\(399\) | 0.188700 | + | 0.933205i | 0.00944681 | + | 0.0467187i | ||||
\(400\) | 8.65839 | − | 4.99892i | 0.432919 | − | 0.249946i | ||||
\(401\) | 0.949113 | + | 3.54214i | 0.0473965 | + | 0.176886i | 0.985566 | − | 0.169289i | \(-0.0541471\pi\) |
−0.938170 | + | 0.346175i | \(0.887480\pi\) | |||||||
\(402\) | 6.22305 | − | 10.7786i | 0.310378 | − | 0.537590i | ||||
\(403\) | −2.33555 | + | 13.2823i | −0.116342 | + | 0.661641i | ||||
\(404\) | 10.8069 | − | 6.23936i | 0.537663 | − | 0.310420i | ||||
\(405\) | 3.74075 | + | 1.00233i | 0.185879 | + | 0.0498062i | ||||
\(406\) | −2.27588 | − | 11.2552i | −0.112950 | − | 0.558588i | ||||
\(407\) | −7.20605 | − | 4.16042i | −0.357191 | − | 0.206224i | ||||
\(408\) | −0.410041 | + | 1.53029i | −0.0203000 | + | 0.0757608i | ||||
\(409\) | −16.5375 | − | 4.43122i | −0.817728 | − | 0.219110i | −0.174375 | − | 0.984679i | \(-0.555791\pi\) |
−0.643353 | + | 0.765570i | \(0.722457\pi\) | |||||||
\(410\) | −19.9136 | − | 5.33584i | −0.983464 | − | 0.263518i | ||||
\(411\) | −2.29183 | + | 8.55322i | −0.113048 | + | 0.421899i | ||||
\(412\) | 1.35889 | + | 0.784555i | 0.0669476 | + | 0.0386522i | ||||
\(413\) | −17.7316 | + | 15.6498i | −0.872517 | + | 0.770078i | ||||
\(414\) | −6.83178 | − | 1.83057i | −0.335764 | − | 0.0899676i | ||||
\(415\) | −45.8043 | + | 26.4451i | −2.24844 | + | 1.29814i | ||||
\(416\) | −2.31630 | + | 2.76311i | −0.113566 | + | 0.135473i | ||||
\(417\) | −0.254144 | + | 0.440191i | −0.0124455 | + | 0.0215562i | ||||
\(418\) | 0.398518 | + | 1.48729i | 0.0194921 | + | 0.0727457i | ||||
\(419\) | 1.19774 | − | 0.691514i | 0.0585133 | − | 0.0337827i | −0.470458 | − | 0.882422i | \(-0.655911\pi\) |
0.528971 | + | 0.848640i | \(0.322578\pi\) | |||||||
\(420\) | −3.26280 | + | 9.71283i | −0.159208 | + | 0.473938i | ||||
\(421\) | −19.8508 | − | 19.8508i | −0.967469 | − | 0.967469i | 0.0320178 | − | 0.999487i | \(-0.489807\pi\) |
−0.999487 | + | 0.0320178i | \(0.989807\pi\) | |||||||
\(422\) | −5.35521 | − | 5.35521i | −0.260687 | − | 0.260687i | ||||
\(423\) | −0.515596 | + | 1.92423i | −0.0250691 | + | 0.0935593i | ||||
\(424\) | 2.28855 | + | 8.54098i | 0.111142 | + | 0.414787i | ||||
\(425\) | 15.8393i | 0.768321i | ||||||||
\(426\) | 2.28491 | + | 3.95758i | 0.110704 | + | 0.191745i | ||||
\(427\) | −8.70893 | + | 13.1236i | −0.421455 | + | 0.635096i | ||||
\(428\) | 8.65518i | 0.418364i | ||||||||
\(429\) | −5.28336 | − | 14.4945i | −0.255083 | − | 0.699803i | ||||
\(430\) | −29.3283 | − | 16.9327i | −1.41434 | − | 0.816568i | ||||
\(431\) | 4.87258 | + | 4.87258i | 0.234704 | + | 0.234704i | 0.814653 | − | 0.579949i | \(-0.196928\pi\) |
−0.579949 | + | 0.814653i | \(0.696928\pi\) | |||||||
\(432\) | 0.866025 | + | 0.500000i | 0.0416667 | + | 0.0240563i | ||||
\(433\) | 3.30247 | − | 5.72004i | 0.158706 | − | 0.274888i | −0.775696 | − | 0.631107i | \(-0.782601\pi\) |
0.934402 | + | 0.356219i | \(0.115934\pi\) | |||||||
\(434\) | −0.615965 | + | 9.87692i | −0.0295672 | + | 0.474107i | ||||
\(435\) | −16.2355 | + | 4.35029i | −0.778433 | + | 0.208580i | ||||
\(436\) | −7.06923 | + | 7.06923i | −0.338555 | + | 0.338555i | ||||
\(437\) | −2.45846 | + | 0.658743i | −0.117604 | + | 0.0315119i | ||||
\(438\) | −4.59759 | − | 7.96326i | −0.219681 | − | 0.380499i | ||||
\(439\) | 5.58357 | − | 9.67104i | 0.266489 | − | 0.461573i | −0.701463 | − | 0.712706i | \(-0.747470\pi\) |
0.967953 | + | 0.251132i | \(0.0808029\pi\) | |||||||
\(440\) | −4.28877 | + | 16.0059i | −0.204459 | + | 0.763051i | ||||
\(441\) | −2.71969 | − | 6.45006i | −0.129509 | − | 0.307146i | ||||
\(442\) | −1.95623 | − | 5.36677i | −0.0930482 | − | 0.255271i | ||||
\(443\) | 5.10413 | + | 8.84062i | 0.242505 | + | 0.420030i | 0.961427 | − | 0.275060i | \(-0.0886977\pi\) |
−0.718922 | + | 0.695090i | \(0.755364\pi\) | |||||||
\(444\) | −1.37509 | + | 1.37509i | −0.0652587 | + | 0.0652587i | ||||
\(445\) | −63.3918 | −3.00506 | ||||||||
\(446\) | −14.2213 | −0.673396 | ||||||||
\(447\) | −12.3997 | + | 12.3997i | −0.586485 | + | 0.586485i | ||||
\(448\) | −1.46293 | + | 2.20451i | −0.0691168 | + | 0.104153i | ||||
\(449\) | 7.99914 | + | 29.8532i | 0.377503 | + | 1.40886i | 0.849653 | + | 0.527342i | \(0.176811\pi\) |
−0.472151 | + | 0.881518i | \(0.656522\pi\) | |||||||
\(450\) | 9.65718 | + | 2.58763i | 0.455244 | + | 0.121982i | ||||
\(451\) | 19.7262 | − | 11.3890i | 0.928873 | − | 0.536285i | ||||
\(452\) | 2.23706i | 0.105223i | ||||||||
\(453\) | 22.1244 | − | 5.92821i | 1.03949 | − | 0.278532i | ||||
\(454\) | 26.5756 | 1.24725 | ||||||||
\(455\) | −10.4668 | − | 35.4295i | −0.490693 | − | 1.66096i | ||||
\(456\) | 0.359857 | 0.0168518 | ||||||||
\(457\) | −19.7641 | + | 5.29578i | −0.924526 | + | 0.247726i | −0.689519 | − | 0.724268i | \(-0.742178\pi\) |
−0.235007 | + | 0.971994i | \(0.575511\pi\) | |||||||
\(458\) | 6.20996i | 0.290172i | ||||||||
\(459\) | −1.37202 | + | 0.792138i | −0.0640405 | + | 0.0369738i | ||||
\(460\) | −26.4575 | − | 7.08925i | −1.23359 | − | 0.330538i | ||||
\(461\) | −2.42182 | − | 9.03836i | −0.112795 | − | 0.420958i | 0.886317 | − | 0.463079i | \(-0.153255\pi\) |
−0.999113 | + | 0.0421206i | \(0.986589\pi\) | |||||||
\(462\) | −5.03911 | − | 10.1373i | −0.234441 | − | 0.471628i | ||||
\(463\) | 17.9800 | − | 17.9800i | 0.835601 | − | 0.835601i | −0.152675 | − | 0.988276i | \(-0.548789\pi\) |
0.988276 | + | 0.152675i | \(0.0487888\pi\) | |||||||
\(464\) | −4.34018 | −0.201488 | ||||||||
\(465\) | 14.4854 | 0.671744 | ||||||||
\(466\) | 12.9144 | − | 12.9144i | 0.598248 | − | 0.598248i | ||||
\(467\) | −8.49550 | − | 14.7146i | −0.393125 | − | 0.680912i | 0.599735 | − | 0.800199i | \(-0.295273\pi\) |
−0.992860 | + | 0.119287i | \(0.961939\pi\) | |||||||
\(468\) | −3.59168 | + | 0.315946i | −0.166026 | + | 0.0146046i | ||||
\(469\) | 6.52642 | + | 32.2761i | 0.301362 | + | 1.49037i | ||||
\(470\) | −1.99675 | + | 7.45198i | −0.0921033 | + | 0.343734i | ||||
\(471\) | −0.328086 | + | 0.568262i | −0.0151174 | + | 0.0261841i | ||||
\(472\) | 4.46945 | + | 7.74132i | 0.205723 | + | 0.356323i | ||||
\(473\) | 36.1416 | − | 9.68412i | 1.66179 | − | 0.445276i | ||||
\(474\) | −11.5532 | + | 11.5532i | −0.530654 | + | 0.530654i | ||||
\(475\) | 3.47520 | − | 0.931178i | 0.159453 | − | 0.0427254i | ||||
\(476\) | −1.86579 | − | 3.75344i | −0.0855184 | − | 0.172039i | ||||
\(477\) | −4.42114 | + | 7.65764i | −0.202430 | + | 0.350619i | ||||
\(478\) | −0.193674 | − | 0.111818i | −0.00885843 | − | 0.00511442i | ||||
\(479\) | −30.2968 | − | 30.2968i | −1.38430 | − | 1.38430i | −0.836824 | − | 0.547472i | \(-0.815590\pi\) |
−0.547472 | − | 0.836824i | \(-0.684410\pi\) | |||||||
\(480\) | 3.35386 | + | 1.93635i | 0.153082 | + | 0.0883820i | ||||
\(481\) | 1.21428 | − | 6.90565i | 0.0553664 | − | 0.314870i | ||||
\(482\) | − | 13.3393i | − | 0.607588i | ||||||
\(483\) | 16.7567 | − | 8.32956i | 0.762457 | − | 0.379008i | ||||
\(484\) | −3.65406 | − | 6.32901i | −0.166093 | − | 0.287682i | ||||
\(485\) | 40.2304i | 1.82677i | ||||||||
\(486\) | 0.258819 | + | 0.965926i | 0.0117403 | + | 0.0438153i | ||||
\(487\) | 0.222519 | − | 0.830450i | 0.0100833 | − | 0.0376313i | −0.960701 | − | 0.277586i | \(-0.910466\pi\) |
0.970784 | + | 0.239954i | \(0.0771325\pi\) | |||||||
\(488\) | 4.20947 | + | 4.20947i | 0.190554 | + | 0.190554i | ||||
\(489\) | 13.9241 | + | 13.9241i | 0.629668 | + | 0.629668i | ||||
\(490\) | −10.5325 | − | 24.9792i | −0.475812 | − | 1.12844i | ||||
\(491\) | 4.74663 | − | 2.74047i | 0.214212 | − | 0.123675i | −0.389055 | − | 0.921214i | \(-0.627198\pi\) |
0.603267 | + | 0.797539i | \(0.293865\pi\) | |||||||
\(492\) | −1.37781 | − | 5.14204i | −0.0621163 | − | 0.231821i | ||||
\(493\) | 3.43802 | − | 5.95482i | 0.154841 | − | 0.268192i | ||||
\(494\) | −1.06248 | + | 0.744709i | −0.0478034 | + | 0.0335060i | ||||
\(495\) | −14.3505 | + | 8.28526i | −0.645007 | + | 0.372395i | ||||
\(496\) | 3.61293 | + | 0.968081i | 0.162225 | + | 0.0434681i | ||||
\(497\) | −11.4612 | − | 3.85012i | −0.514105 | − | 0.172702i | ||||
\(498\) | −11.8275 | − | 6.82859i | −0.530001 | − | 0.305996i | ||||
\(499\) | −4.12370 | + | 15.3898i | −0.184602 | + | 0.688944i | 0.810113 | + | 0.586273i | \(0.199405\pi\) |
−0.994715 | + | 0.102671i | \(0.967261\pi\) | |||||||
\(500\) | 18.6957 | + | 5.00949i | 0.836096 | + | 0.224031i | ||||
\(501\) | 13.1821 | + | 3.53213i | 0.588933 | + | 0.157804i | ||||
\(502\) | −1.28906 | + | 4.81083i | −0.0575335 | + | 0.214718i | ||||
\(503\) | −16.5880 | − | 9.57711i | −0.739624 | − | 0.427022i | 0.0823084 | − | 0.996607i | \(-0.473771\pi\) |
−0.821933 | + | 0.569585i | \(0.807104\pi\) | |||||||
\(504\) | −2.59327 | + | 0.524375i | −0.115513 | + | 0.0233575i | ||||
\(505\) | 46.6797 | + | 12.5078i | 2.07722 | + | 0.556590i | ||||
\(506\) | 26.2085 | − | 15.1315i | 1.16511 | − | 0.672677i | ||||
\(507\) | 9.95066 | − | 8.36567i | 0.441924 | − | 0.371532i | ||||
\(508\) | −9.25967 | + | 16.0382i | −0.410831 | + | 0.711581i | ||||
\(509\) | 4.10886 | + | 15.3345i | 0.182122 | + | 0.679689i | 0.995228 | + | 0.0975737i | \(0.0311082\pi\) |
−0.813106 | + | 0.582115i | \(0.802225\pi\) | |||||||
\(510\) | −5.31344 | + | 3.06772i | −0.235283 | + | 0.135841i | ||||
\(511\) | 23.0617 | + | 7.74704i | 1.02019 | + | 0.342709i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 0.254457 | + | 0.254457i | 0.0112346 | + | 0.0112346i | ||||
\(514\) | 1.96233 | − | 7.32352i | 0.0865547 | − | 0.323027i | ||||
\(515\) | 1.57276 | + | 5.86964i | 0.0693043 | + | 0.258647i | ||||
\(516\) | − | 8.74465i | − | 0.384962i | ||||||
\(517\) | −4.26192 | − | 7.38186i | −0.187439 | − | 0.324654i | ||||
\(518\) | 0.320247 | − | 5.13513i | 0.0140709 | − | 0.225625i | ||||
\(519\) | − | 17.6805i | − | 0.776088i | ||||||
\(520\) | −13.9095 | + | 1.22357i | −0.609973 | + | 0.0536569i | ||||
\(521\) | 10.3862 | + | 5.99650i | 0.455030 | + | 0.262712i | 0.709952 | − | 0.704250i | \(-0.248717\pi\) |
−0.254922 | + | 0.966962i | \(0.582050\pi\) | |||||||
\(522\) | −3.06897 | − | 3.06897i | −0.134325 | − | 0.134325i | ||||
\(523\) | 21.3404 | + | 12.3209i | 0.933150 | + | 0.538754i | 0.887806 | − | 0.460217i | \(-0.152228\pi\) |
0.0453435 | + | 0.998971i | \(0.485562\pi\) | |||||||
\(524\) | 6.45723 | − | 11.1843i | 0.282086 | − | 0.488587i | ||||
\(525\) | −23.6867 | + | 11.7744i | −1.03377 | + | 0.513877i | ||||
\(526\) | 25.0409 | − | 6.70968i | 1.09183 | − | 0.292556i | ||||
\(527\) | −4.19017 | + | 4.19017i | −0.182527 | + | 0.182527i | ||||
\(528\) | −4.13300 | + | 1.10743i | −0.179866 | + | 0.0481949i | ||||
\(529\) | 13.5121 | + | 23.4036i | 0.587482 | + | 1.01755i | ||||
\(530\) | −17.1218 | + | 29.6558i | −0.743722 | + | 1.28816i | ||||
\(531\) | −2.31356 | + | 8.63432i | −0.100400 | + | 0.374698i | ||||
\(532\) | −0.713829 | + | 0.630021i | −0.0309484 | + | 0.0273149i | ||||
\(533\) | 14.7092 | + | 12.3306i | 0.637128 | + | 0.534100i | ||||
\(534\) | −8.18443 | − | 14.1759i | −0.354175 | − | 0.613449i | ||||
\(535\) | −23.7015 | + | 23.7015i | −1.02470 | + | 1.02470i | ||||
\(536\) | 12.4461 | 0.537590 | ||||||||
\(537\) | 1.47632 | 0.0637078 | ||||||||
\(538\) | −6.77517 | + | 6.77517i | −0.292098 | + | 0.292098i | ||||
\(539\) | 27.7437 | + | 11.2865i | 1.19501 | + | 0.486144i | ||||
\(540\) | 1.00233 | + | 3.74075i | 0.0431334 | + | 0.160976i | ||||
\(541\) | −30.7831 | − | 8.24830i | −1.32347 | − | 0.354622i | −0.473192 | − | 0.880959i | \(-0.656898\pi\) |
−0.850276 | + | 0.526337i | \(0.823565\pi\) | |||||||
\(542\) | −11.2690 | + | 6.50615i | −0.484044 | + | 0.279463i | ||||
\(543\) | 14.3938i | 0.617697i | ||||||||
\(544\) | −1.53029 | + | 0.410041i | −0.0656108 | + | 0.0175803i | ||||
\(545\) | −38.7170 | −1.65845 | ||||||||
\(546\) | 6.57149 | − | 6.91488i | 0.281234 | − | 0.295930i | ||||
\(547\) | 16.4490 | 0.703307 | 0.351653 | − | 0.936130i | \(-0.385620\pi\) | ||||
0.351653 | + | 0.936130i | \(0.385620\pi\) | |||||||
\(548\) | −8.55322 | + | 2.29183i | −0.365375 | + | 0.0979020i | ||||
\(549\) | 5.95308i | 0.254071i | ||||||||
\(550\) | −37.0475 | + | 21.3894i | −1.57971 | + | 0.912046i | ||||
\(551\) | −1.50862 | − | 0.404235i | −0.0642696 | − | 0.0172210i | ||||
\(552\) | −1.83057 | − | 6.83178i | −0.0779142 | − | 0.290780i | ||||
\(553\) | 2.69064 | − | 43.1441i | 0.114418 | − | 1.83468i | ||||
\(554\) | 6.65218 | − | 6.65218i | 0.282624 | − | 0.282624i | ||||
\(555\) | −7.53112 | −0.319678 | ||||||||
\(556\) | −0.508288 | −0.0215562 | ||||||||
\(557\) | 18.8769 | − | 18.8769i | 0.799838 | − | 0.799838i | −0.183232 | − | 0.983070i | \(-0.558656\pi\) |
0.983070 | + | 0.183232i | \(0.0586559\pi\) | |||||||
\(558\) | 1.87019 | + | 3.23926i | 0.0791714 | + | 0.137129i | ||||
\(559\) | 18.0967 | + | 25.8187i | 0.765408 | + | 1.09201i | ||||
\(560\) | −10.0430 | + | 2.03075i | −0.424392 | + | 0.0858148i | ||||
\(561\) | 1.75448 | − | 6.54781i | 0.0740743 | − | 0.276449i | ||||
\(562\) | 4.78172 | − | 8.28217i | 0.201704 | − | 0.349362i | ||||
\(563\) | 4.27970 | + | 7.41266i | 0.180368 | + | 0.312406i | 0.942006 | − | 0.335597i | \(-0.108938\pi\) |
−0.761638 | + | 0.648003i | \(0.775605\pi\) | |||||||
\(564\) | −1.92423 | + | 0.515596i | −0.0810247 | + | 0.0217105i | ||||
\(565\) | −6.12601 | + | 6.12601i | −0.257723 | + | 0.257723i | ||||
\(566\) | −2.27288 | + | 0.609017i | −0.0955363 | + | 0.0255989i | ||||
\(567\) | −2.20451 | − | 1.46293i | −0.0925805 | − | 0.0614372i | ||||
\(568\) | −2.28491 | + | 3.95758i | −0.0958726 | + | 0.166056i | ||||
\(569\) | 33.4365 | + | 19.3045i | 1.40173 | + | 0.809289i | 0.994570 | − | 0.104069i | \(-0.0331861\pi\) |
0.407159 | + | 0.913357i | \(0.366519\pi\) | |||||||
\(570\) | 0.985438 | + | 0.985438i | 0.0412755 | + | 0.0412755i | ||||
\(571\) | −20.6559 | − | 11.9257i | −0.864423 | − | 0.499075i | 0.00106798 | − | 0.999999i | \(-0.499660\pi\) |
−0.865491 | + | 0.500925i | \(0.832993\pi\) | |||||||
\(572\) | 9.91096 | − | 11.8228i | 0.414398 | − | 0.494336i | ||||
\(573\) | − | 0.654823i | − | 0.0273556i | ||||||
\(574\) | 11.7355 | + | 7.78780i | 0.489832 | + | 0.325056i | ||||
\(575\) | −35.3563 | − | 61.2388i | −1.47446 | − | 2.55384i | ||||
\(576\) | 1.00000i | 0.0416667i | ||||||||
\(577\) | −8.42837 | − | 31.4551i | −0.350877 | − | 1.30949i | −0.885594 | − | 0.464461i | \(-0.846248\pi\) |
0.534716 | − | 0.845032i | \(-0.320419\pi\) | |||||||
\(578\) | −3.75031 | + | 13.9963i | −0.155992 | + | 0.582171i | ||||
\(579\) | 2.35226 | + | 2.35226i | 0.0977564 | + | 0.0977564i | ||||
\(580\) | −11.8852 | − | 11.8852i | −0.493507 | − | 0.493507i | ||||
\(581\) | 35.4167 | − | 7.16148i | 1.46933 | − | 0.297108i | ||||
\(582\) | −8.99643 | + | 5.19409i | −0.372914 | + | 0.215302i | ||||
\(583\) | −9.79224 | − | 36.5451i | −0.405553 | − | 1.51355i | ||||
\(584\) | 4.59759 | − | 7.96326i | 0.190250 | − | 0.329522i | ||||
\(585\) | −10.7007 | − | 8.97033i | −0.442420 | − | 0.370877i | ||||
\(586\) | −16.1684 | + | 9.33484i | −0.667911 | + | 0.385619i | ||||
\(587\) | −26.2589 | − | 7.03605i | −1.08382 | − | 0.290409i | −0.327660 | − | 0.944796i | \(-0.606260\pi\) |
−0.756160 | + | 0.654387i | \(0.772927\pi\) | |||||||
\(588\) | 4.22607 | − | 5.58035i | 0.174280 | − | 0.230130i | ||||
\(589\) | 1.16567 | + | 0.673001i | 0.0480306 | + | 0.0277305i | ||||
\(590\) | −8.95974 | + | 33.4382i | −0.368867 | + | 1.37663i | ||||
\(591\) | 9.22081 | + | 2.47071i | 0.379293 | + | 0.101631i | ||||
\(592\) | −1.87840 | − | 0.503317i | −0.0772019 | − | 0.0206862i | ||||
\(593\) | 12.0362 | − | 44.9198i | 0.494269 | − | 1.84464i | −0.0398202 | − | 0.999207i | \(-0.512679\pi\) |
0.534089 | − | 0.845428i | \(-0.320655\pi\) | |||||||
\(594\) | −3.70555 | − | 2.13940i | −0.152040 | − | 0.0877806i | ||||
\(595\) | 5.16917 | − | 15.3878i | 0.211915 | − | 0.630838i | ||||
\(596\) | −16.9383 | − | 4.53860i | −0.693819 | − | 0.185908i | ||||
\(597\) | −13.7184 | + | 7.92030i | −0.561455 | + | 0.324156i | ||||
\(598\) | 19.5429 | + | 16.3826i | 0.799167 | + | 0.669936i | ||||
\(599\) | −12.2342 | + | 21.1903i | −0.499877 | + | 0.865813i | −1.00000 | 0.000141679i | \(-0.999955\pi\) | |
0.500123 | + | 0.865955i | \(0.333288\pi\) | |||||||
\(600\) | 2.58763 | + | 9.65718i | 0.105640 | + | 0.394253i | ||||
\(601\) | 15.8703 | − | 9.16272i | 0.647363 | − | 0.373755i | −0.140082 | − | 0.990140i | \(-0.544737\pi\) |
0.787445 | + | 0.616385i | \(0.211403\pi\) | |||||||
\(602\) | 15.3097 | + | 17.3463i | 0.623978 | + | 0.706982i | ||||
\(603\) | 8.80073 | + | 8.80073i | 0.358393 | + | 0.358393i | ||||
\(604\) | 16.1962 | + | 16.1962i | 0.659013 | + | 0.659013i | ||||
\(605\) | 7.32514 | − | 27.3378i | 0.297809 | − | 1.11144i | ||||
\(606\) | 3.22973 | + | 12.0535i | 0.131199 | + | 0.489641i | ||||
\(607\) | 33.9749i | 1.37900i | 0.724286 | + | 0.689500i | \(0.242170\pi\) | ||||
−0.724286 | + | 0.689500i | \(0.757830\pi\) | |||||||
\(608\) | 0.179928 | + | 0.311645i | 0.00729706 | + | 0.0126389i | ||||
\(609\) | 11.4608 | + | 0.714739i | 0.464414 | + | 0.0289627i | ||||
\(610\) | 23.0545i | 0.933451i | ||||||||
\(611\) | 4.61431 | − | 5.50442i | 0.186675 | − | 0.222685i | ||||
\(612\) | −1.37202 | − | 0.792138i | −0.0554607 | − | 0.0320203i | ||||
\(613\) | 7.83114 | + | 7.83114i | 0.316297 | + | 0.316297i | 0.847343 | − | 0.531046i | \(-0.178201\pi\) |
−0.531046 | + | 0.847343i | \(0.678201\pi\) | |||||||
\(614\) | 1.83424 | + | 1.05900i | 0.0740240 | + | 0.0427378i | ||||
\(615\) | 10.3080 | − | 17.8541i | 0.415661 | − | 0.719945i | ||||
\(616\) | 6.25957 | − | 9.43263i | 0.252205 | − | 0.380052i | ||||
\(617\) | −32.1486 | + | 8.61418i | −1.29425 | + | 0.346794i | −0.839274 | − | 0.543708i | \(-0.817020\pi\) |
−0.454979 | + | 0.890502i | \(0.650353\pi\) | |||||||
\(618\) | −1.10953 | + | 1.10953i | −0.0446317 | + | 0.0446317i | ||||
\(619\) | 3.70436 | − | 0.992581i | 0.148891 | − | 0.0398952i | −0.183604 | − | 0.983000i | \(-0.558776\pi\) |
0.332495 | + | 0.943105i | \(0.392110\pi\) | |||||||
\(620\) | 7.24269 | + | 12.5447i | 0.290874 | + | 0.503808i | ||||
\(621\) | 3.53639 | − | 6.12520i | 0.141910 | − | 0.245796i | ||||
\(622\) | −4.01641 | + | 14.9895i | −0.161044 | + | 0.601023i | ||||
\(623\) | 41.0535 | + | 13.7910i | 1.64477 | + | 0.552523i | ||||
\(624\) | −2.06946 | − | 2.95251i | −0.0828446 | − | 0.118195i | ||||
\(625\) | 12.4838 | + | 21.6227i | 0.499354 | + | 0.864906i | ||||
\(626\) | 1.22736 | − | 1.22736i | 0.0490550 | − | 0.0490550i | ||||
\(627\) | −1.53975 | −0.0614919 | ||||||||
\(628\) | −0.656173 | −0.0261841 | ||||||||
\(629\) | 2.17852 | − | 2.17852i | 0.0868631 | − | 0.0868631i | ||||
\(630\) | −8.53740 | − | 5.66549i | −0.340138 | − | 0.225718i | ||||
\(631\) | 4.45622 | + | 16.6308i | 0.177399 | + | 0.662063i | 0.996131 | + | 0.0878860i | \(0.0280111\pi\) |
−0.818731 | + | 0.574177i | \(0.805322\pi\) | |||||||
\(632\) | −15.7819 | − | 4.22875i | −0.627771 | − | 0.168211i | ||||
\(633\) | 6.55876 | − | 3.78670i | 0.260687 | − | 0.150508i | ||||
\(634\) | 33.8937i | 1.34609i | ||||||||
\(635\) | −69.2761 | + | 18.5625i | −2.74914 | + | 0.736630i | ||||
\(636\) | −8.84228 | −0.350619 | ||||||||
\(637\) | −0.929249 | + | 25.2217i | −0.0368182 | + | 0.999322i | ||||
\(638\) | 18.5707 | 0.735223 | ||||||||
\(639\) | −4.41410 | + | 1.18275i | −0.174619 | + | 0.0467891i | ||||
\(640\) | 3.87271i | 0.153082i | ||||||||
\(641\) | −19.5916 | + | 11.3112i | −0.773821 | + | 0.446766i | −0.834236 | − | 0.551407i | \(-0.814091\pi\) |
0.0604148 | + | 0.998173i | \(0.480758\pi\) | |||||||
\(642\) | −8.36026 | − | 2.24012i | −0.329953 | − | 0.0884107i | ||||
\(643\) | 9.23701 | + | 34.4730i | 0.364272 | + | 1.35948i | 0.868405 | + | 0.495855i | \(0.165145\pi\) |
−0.504133 | + | 0.863626i | \(0.668188\pi\) | |||||||
\(644\) | 15.5920 | + | 10.3470i | 0.614410 | + | 0.407727i | ||||
\(645\) | 23.9465 | − | 23.9465i | 0.942892 | − | 0.942892i | ||||
\(646\) | −0.570113 | −0.0224308 | ||||||||
\(647\) | 13.1666 | 0.517634 | 0.258817 | − | 0.965926i | \(-0.416667\pi\) | ||||
0.258817 | + | 0.965926i | \(0.416667\pi\) | |||||||
\(648\) | −0.707107 | + | 0.707107i | −0.0277778 | + | 0.0277778i | ||||
\(649\) | −19.1239 | − | 33.1236i | −0.750679 | − | 1.30021i | ||||
\(650\) | −27.6251 | − | 23.1580i | −1.08355 | − | 0.908330i | ||||
\(651\) | −9.38095 | − | 3.15131i | −0.367668 | − | 0.123510i | ||||
\(652\) | −5.09656 | + | 19.0206i | −0.199597 | + | 0.744905i | ||||
\(653\) | 21.0542 | − | 36.4670i | 0.823916 | − | 1.42707i | −0.0788282 | − | 0.996888i | \(-0.525118\pi\) |
0.902745 | − | 0.430177i | \(-0.141549\pi\) | |||||||
\(654\) | −4.99870 | − | 8.65800i | −0.195465 | − | 0.338555i | ||||
\(655\) | 48.3098 | − | 12.9446i | 1.88762 | − | 0.505786i | ||||
\(656\) | 3.76424 | − | 3.76424i | 0.146969 | − | 0.146969i | ||||
\(657\) | 8.88186 | − | 2.37989i | 0.346514 | − | 0.0928482i | ||||
\(658\) | 2.91431 | − | 4.39162i | 0.113612 | − | 0.171203i | ||||
\(659\) | −10.1803 | + | 17.6328i | −0.396569 | + | 0.686878i | −0.993300 | − | 0.115564i | \(-0.963133\pi\) |
0.596731 | + | 0.802441i | \(0.296466\pi\) | |||||||
\(660\) | −14.3505 | − | 8.28526i | −0.558592 | − | 0.322503i | ||||
\(661\) | −20.4387 | − | 20.4387i | −0.794975 | − | 0.794975i | 0.187324 | − | 0.982298i | \(-0.440019\pi\) |
−0.982298 | + | 0.187324i | \(0.940019\pi\) | |||||||
\(662\) | −7.40792 | − | 4.27697i | −0.287917 | − | 0.166229i | ||||
\(663\) | 5.69021 | − | 0.500546i | 0.220990 | − | 0.0194396i | ||||
\(664\) | − | 13.6572i | − | 0.530001i | ||||||
\(665\) | −3.68002 | − | 0.229501i | −0.142705 | − | 0.00889966i | ||||
\(666\) | −0.972333 | − | 1.68413i | −0.0376771 | − | 0.0652587i | ||||
\(667\) | 30.6971i | 1.18860i | ||||||||
\(668\) | 3.53213 | + | 13.1821i | 0.136662 | + | 0.510031i | ||||
\(669\) | 3.68073 | − | 13.7367i | 0.142305 | − | 0.531091i | ||||
\(670\) | 34.0826 | + | 34.0826i | 1.31673 | + | 1.31673i | ||||
\(671\) | −18.0115 | − | 18.0115i | −0.695325 | − | 0.695325i | ||||
\(672\) | −1.75076 | − | 1.98365i | −0.0675368 | − | 0.0765209i | ||||
\(673\) | 6.17376 | − | 3.56442i | 0.237981 | − | 0.137398i | −0.376267 | − | 0.926511i | \(-0.622793\pi\) |
0.614248 | + | 0.789113i | \(0.289459\pi\) | |||||||
\(674\) | 0.800335 | + | 2.98689i | 0.0308278 | + | 0.115051i | ||||
\(675\) | −4.99892 | + | 8.65839i | −0.192409 | + | 0.333262i | ||||
\(676\) | 12.2202 | + | 4.43469i | 0.470008 | + | 0.170565i | ||||
\(677\) | 37.1749 | − | 21.4629i | 1.42875 | − | 0.824888i | 0.431726 | − | 0.902005i | \(-0.357905\pi\) |
0.997022 | + | 0.0771168i | \(0.0245714\pi\) | |||||||
\(678\) | −2.16084 | − | 0.578994i | −0.0829864 | − | 0.0222361i | ||||
\(679\) | 8.75216 | − | 26.0538i | 0.335877 | − | 0.999853i | ||||
\(680\) | −5.31344 | − | 3.06772i | −0.203761 | − | 0.117642i | ||||
\(681\) | −6.87826 | + | 25.6700i | −0.263576 | + | 0.983678i | ||||
\(682\) | −15.4590 | − | 4.14222i | −0.591955 | − | 0.158614i | ||||
\(683\) | −27.7411 | − | 7.43322i | −1.06149 | − | 0.284424i | −0.314495 | − | 0.949259i | \(-0.601835\pi\) |
−0.746990 | + | 0.664835i | \(0.768502\pi\) | |||||||
\(684\) | −0.0931378 | + | 0.347595i | −0.00356121 | + | 0.0132906i | ||||
\(685\) | −29.6982 | − | 17.1463i | −1.13471 | − | 0.655126i | ||||
\(686\) | 1.38678 | + | 18.4683i | 0.0529476 | + | 0.705122i | ||||
\(687\) | −5.99836 | − | 1.60726i | −0.228852 | − | 0.0613207i | ||||
\(688\) | 7.57309 | − | 4.37232i | 0.288721 | − | 0.166693i | ||||
\(689\) | 26.1070 | − | 18.2987i | 0.994596 | − | 0.697126i | ||||
\(690\) | 13.6954 | − | 23.7211i | 0.521375 | − | 0.903047i | ||||
\(691\) | 12.2052 | + | 45.5503i | 0.464307 | + | 1.73282i | 0.659178 | + | 0.751987i | \(0.270904\pi\) |
−0.194871 | + | 0.980829i | \(0.562429\pi\) | |||||||
\(692\) | 15.3118 | − | 8.84025i | 0.582066 | − | 0.336056i | ||||
\(693\) | 11.0961 | − | 2.24369i | 0.421505 | − | 0.0852309i | ||||
\(694\) | −5.93632 | − | 5.93632i | −0.225340 | − | 0.225340i | ||||
\(695\) | −1.39191 | − | 1.39191i | −0.0527980 | − | 0.0527980i | ||||
\(696\) | 1.12332 | − | 4.19229i | 0.0425794 | − | 0.158908i | ||||
\(697\) | 2.18283 | + | 8.14641i | 0.0826804 | + | 0.308567i | ||||
\(698\) | − | 19.2414i | − | 0.728298i | ||||||
\(699\) | 9.13186 | + | 15.8168i | 0.345398 | + | 0.598248i | ||||
\(700\) | −22.0403 | − | 14.6261i | −0.833045 | − | 0.552816i | ||||
\(701\) | − | 6.01200i | − | 0.227070i | −0.993534 | − | 0.113535i | \(-0.963783\pi\) | ||
0.993534 | − | 0.113535i | \(-0.0362174\pi\) | |||||||
\(702\) | 0.624415 | − | 3.55107i | 0.0235670 | − | 0.134027i | ||||
\(703\) | −0.606046 | − | 0.349901i | −0.0228575 | − | 0.0131968i | ||||
\(704\) | −3.02557 | − | 3.02557i | −0.114030 | − | 0.114030i | ||||
\(705\) | −6.68126 | − | 3.85743i | −0.251631 | − | 0.145279i | ||||
\(706\) | 0.865841 | − | 1.49968i | 0.0325863 | − | 0.0564412i | ||||
\(707\) | −27.5094 | − | 18.2555i | −1.03460 | − | 0.686568i | ||||
\(708\) | −8.63432 | + | 2.31356i | −0.324498 | + | 0.0869489i | ||||
\(709\) | 4.93912 | − | 4.93912i | 0.185493 | − | 0.185493i | −0.608252 | − | 0.793744i | \(-0.708129\pi\) |
0.793744 | + | 0.608252i | \(0.208129\pi\) | |||||||
\(710\) | −17.0945 | + | 4.58046i | −0.641546 | + | 0.171902i | ||||
\(711\) | −8.16932 | − | 14.1497i | −0.306373 | − | 0.530654i | ||||
\(712\) | 8.18443 | − | 14.1759i | 0.306725 | − | 0.531262i | ||||
\(713\) | 6.84702 | − | 25.5534i | 0.256423 | − | 0.956984i | ||||
\(714\) | 4.10845 | − | 0.830754i | 0.153755 | − | 0.0310902i | ||||
\(715\) | 59.5160 | − | 5.23539i | 2.22577 | − | 0.195792i | ||||
\(716\) | 0.738159 | + | 1.27853i | 0.0275863 | + | 0.0477809i | ||||
\(717\) | 0.158134 | − | 0.158134i | 0.00590562 | − | 0.00590562i | ||||
\(718\) | −10.0967 | −0.376805 | ||||||||
\(719\) | 16.6351 | 0.620383 | 0.310191 | − | 0.950674i | \(-0.399607\pi\) | ||||
0.310191 | + | 0.950674i | \(0.399607\pi\) | |||||||
\(720\) | −2.73842 | + | 2.73842i | −0.102055 | + | 0.102055i | ||||
\(721\) | 0.258400 | − | 4.14342i | 0.00962334 | − | 0.154309i | ||||
\(722\) | −4.88405 | − | 18.2275i | −0.181765 | − | 0.678358i | ||||
\(723\) | 12.8848 | + | 3.45246i | 0.479190 | + | 0.128398i | ||||
\(724\) | −12.4654 | + | 7.19690i | −0.463273 | + | 0.267471i | ||||
\(725\) | − | 43.3924i | − | 1.61155i | ||||||
\(726\) | 7.05909 | − | 1.89148i | 0.261988 | − | 0.0701994i | ||||
\(727\) | −27.7026 | −1.02743 | −0.513716 | − | 0.857960i | \(-0.671732\pi\) | ||||
−0.513716 | + | 0.857960i | \(0.671732\pi\) | |||||||
\(728\) | 9.27421 | + | 2.23363i | 0.343725 | + | 0.0827840i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 34.3968 | − | 9.21660i | 1.27308 | − | 0.341122i | ||||
\(731\) | 13.8539i | 0.512406i | ||||||||
\(732\) | −5.15552 | + | 2.97654i | −0.190554 | + | 0.110016i | ||||
\(733\) | −7.85783 | − | 2.10550i | −0.290236 | − | 0.0777684i | 0.110764 | − | 0.993847i | \(-0.464670\pi\) |
−0.400999 | + | 0.916078i | \(0.631337\pi\) | |||||||
\(734\) | 1.84071 | + | 6.86963i | 0.0679419 | + | 0.253563i | ||||
\(735\) | 26.8541 | − | 3.70857i | 0.990527 | − | 0.136793i | ||||
\(736\) | 5.00121 | − | 5.00121i | 0.184347 | − | 0.184347i | ||||
\(737\) | −53.2544 | −1.96165 | ||||||||
\(738\) | 5.32344 | 0.195958 | ||||||||
\(739\) | 26.0807 | − | 26.0807i | 0.959395 | − | 0.959395i | −0.0398124 | − | 0.999207i | \(-0.512676\pi\) |
0.999207 | + | 0.0398124i | \(0.0126760\pi\) | |||||||
\(740\) | −3.76556 | − | 6.52214i | −0.138425 | − | 0.239759i | ||||
\(741\) | −0.444343 | − | 1.21902i | −0.0163233 | − | 0.0447820i | ||||
\(742\) | 17.5400 | − | 15.4807i | 0.643912 | − | 0.568313i | ||||
\(743\) | −6.26734 | + | 23.3900i | −0.229926 | + | 0.858097i | 0.750444 | + | 0.660934i | \(0.229840\pi\) |
−0.980371 | + | 0.197163i | \(0.936827\pi\) | |||||||
\(744\) | −1.87019 | + | 3.23926i | −0.0685645 | + | 0.118757i | ||||
\(745\) | −33.9555 | − | 58.8126i | −1.24403 | − | 2.15473i | ||||
\(746\) | −31.9252 | + | 8.55433i | −1.16886 | + | 0.313196i | ||||
\(747\) | 9.65709 | − | 9.65709i | 0.353334 | − | 0.353334i | ||||
\(748\) | 6.54781 | − | 1.75448i | 0.239412 | − | 0.0641502i | ||||
\(749\) | 20.5057 | − | 10.1931i | 0.749262 | − | 0.372450i | ||||
\(750\) | −9.67759 | + | 16.7621i | −0.353376 | + | 0.612065i | ||||
\(751\) | −20.5726 | − | 11.8776i | −0.750703 | − | 0.433419i | 0.0752446 | − | 0.997165i | \(-0.476026\pi\) |
−0.825948 | + | 0.563746i | \(0.809360\pi\) | |||||||
\(752\) | −1.40863 | − | 1.40863i | −0.0513676 | − | 0.0513676i | ||||
\(753\) | −4.31328 | − | 2.49027i | −0.157184 | − | 0.0907505i | ||||
\(754\) | 5.35915 | + | 14.7025i | 0.195169 | + | 0.535432i | ||||
\(755\) | 88.7038i | 3.22826i | ||||||||
\(756\) | 0.164680 | − | 2.64062i | 0.00598934 | − | 0.0960385i | ||||
\(757\) | 9.11505 | + | 15.7877i | 0.331292 | + | 0.573815i | 0.982765 | − | 0.184857i | \(-0.0591821\pi\) |
−0.651473 | + | 0.758671i | \(0.725849\pi\) | |||||||
\(758\) | 31.2224i | 1.13405i | ||||||||
\(759\) | 7.83264 | + | 29.2318i | 0.284307 | + | 1.06105i | ||||
\(760\) | −0.360695 | + | 1.34613i | −0.0130838 | + | 0.0488294i | ||||
\(761\) | 1.13498 | + | 1.13498i | 0.0411430 | + | 0.0411430i | 0.727379 | − | 0.686236i | \(-0.240738\pi\) |
−0.686236 | + | 0.727379i | \(0.740738\pi\) | |||||||
\(762\) | −13.0951 | − | 13.0951i | −0.474387 | − | 0.474387i | ||||
\(763\) | 25.0737 | + | 8.42293i | 0.907729 | + | 0.304930i | ||||
\(764\) | 0.567093 | − | 0.327411i | 0.0205167 | − | 0.0118453i | ||||
\(765\) | −1.58797 | − | 5.92637i | −0.0574131 | − | 0.214268i | ||||
\(766\) | −6.36527 | + | 11.0250i | −0.229987 | + | 0.398349i | ||||
\(767\) | 20.7052 | − | 24.6992i | 0.747620 | − | 0.891836i | ||||
\(768\) | −0.866025 | + | 0.500000i | −0.0312500 | + | 0.0180422i | ||||
\(769\) | −29.4787 | − | 7.89880i | −1.06303 | − | 0.284838i | −0.315404 | − | 0.948957i | \(-0.602140\pi\) |
−0.747627 | + | 0.664119i | \(0.768807\pi\) | |||||||
\(770\) | 42.9718 | − | 8.68916i | 1.54860 | − | 0.313136i | ||||
\(771\) | 6.56609 | + | 3.79093i | 0.236472 | + | 0.136527i | ||||
\(772\) | −0.860985 | + | 3.21324i | −0.0309875 | + | 0.115647i | ||||
\(773\) | −11.1177 | − | 2.97898i | −0.399876 | − | 0.107146i | 0.0532757 | − | 0.998580i | \(-0.483034\pi\) |
−0.453152 | + | 0.891433i | \(0.649700\pi\) | |||||||
\(774\) | 8.44668 | + | 2.26328i | 0.303610 | + | 0.0813520i | ||||
\(775\) | −9.67873 | + | 36.1215i | −0.347670 | + | 1.29752i | ||||
\(776\) | −8.99643 | − | 5.19409i | −0.322953 | − | 0.186457i | ||||
\(777\) | 4.87727 | + | 1.63840i | 0.174971 | + | 0.0587774i | ||||
\(778\) | −21.4267 | − | 5.74127i | −0.768184 | − | 0.205834i | ||||
\(779\) | 1.65902 | − | 0.957837i | 0.0594407 | − | 0.0343181i | ||||
\(780\) | 2.41818 | − | 13.7523i | 0.0865846 | − | 0.492410i | ||||
\(781\) | 9.77666 | − | 16.9337i | 0.349836 | − | 0.605934i | ||||
\(782\) | 2.90013 | + | 10.8234i | 0.103708 | + | 0.387045i | ||||
\(783\) | 3.75870 | − | 2.17009i | 0.134325 | − | 0.0775527i | ||||
\(784\) | 6.94576 | + | 0.869714i | 0.248063 | + | 0.0310612i | ||||
\(785\) | −1.79687 | − | 1.79687i | −0.0641332 | − | 0.0641332i | ||||
\(786\) | 9.13191 | + | 9.13191i | 0.325724 | + | 0.325724i | ||||
\(787\) | −4.24357 | + | 15.8372i | −0.151267 | + | 0.564535i | 0.848129 | + | 0.529789i | \(0.177729\pi\) |
−0.999396 | + | 0.0347462i | \(0.988938\pi\) | |||||||
\(788\) | 2.47071 | + | 9.22081i | 0.0880153 | + | 0.328478i | ||||
\(789\) | 25.9242i | 0.922926i | ||||||||
\(790\) | −31.6374 | − | 54.7975i | −1.12561 | − | 1.94961i | ||||
\(791\) | 5.30002 | − | 2.63458i | 0.188447 | − | 0.0936747i | ||||
\(792\) | − | 4.27880i | − | 0.152040i | ||||||
\(793\) | 9.06193 | − | 19.4574i | 0.321798 | − | 0.690953i | ||||
\(794\) | 4.40487 | + | 2.54315i | 0.156323 | + | 0.0902531i | ||||
\(795\) | −24.2138 | − | 24.2138i | −0.858776 | − | 0.858776i | ||||
\(796\) | −13.7184 | − | 7.92030i | −0.486234 | − | 0.280728i | ||||
\(797\) | 18.9373 | − | 32.8004i | 0.670794 | − | 1.16185i | −0.306886 | − | 0.951746i | \(-0.599287\pi\) |
0.977679 | − | 0.210102i | \(-0.0673797\pi\) | |||||||
\(798\) | −0.423801 | − | 0.852568i | −0.0150024 | − | 0.0301806i | ||||
\(799\) | 3.04851 | − | 0.816846i | 0.107849 | − | 0.0288979i | ||||
\(800\) | −7.06954 | + | 7.06954i | −0.249946 | + | 0.249946i | ||||
\(801\) | 15.8111 | − | 4.23657i | 0.558658 | − | 0.149692i | ||||
\(802\) | −1.83355 | − | 3.17579i | −0.0647448 | − | 0.112141i | ||||
\(803\) | −19.6722 | + | 34.0732i | −0.694215 | + | 1.20242i | ||||
\(804\) | −3.22129 | + | 12.0220i | −0.113606 | + | 0.423984i | ||||
\(805\) | 14.3630 | + | 71.0316i | 0.506230 | + | 2.50353i | ||||
\(806\) | −1.18176 | − | 13.4342i | −0.0416256 | − | 0.473201i | ||||
\(807\) | −4.79077 | − | 8.29785i | −0.168643 | − | 0.292098i | ||||
\(808\) | −8.82379 | + | 8.82379i | −0.310420 | + | 0.310420i | ||||
\(809\) | −26.4503 | −0.929943 | −0.464972 | − | 0.885326i | \(-0.653935\pi\) | ||||
−0.464972 | + | 0.885326i | \(0.653935\pi\) | |||||||
\(810\) | −3.87271 | −0.136073 | ||||||||
\(811\) | 16.2954 | − | 16.2954i | 0.572208 | − | 0.572208i | −0.360537 | − | 0.932745i | \(-0.617407\pi\) |
0.932745 | + | 0.360537i | \(0.117407\pi\) | |||||||
\(812\) | 5.11140 | + | 10.2827i | 0.179375 | + | 0.360852i | ||||
\(813\) | −3.36783 | − | 12.5689i | −0.118115 | − | 0.440811i | ||||
\(814\) | 8.03731 | + | 2.15359i | 0.281708 | + | 0.0754833i | ||||
\(815\) | −66.0429 | + | 38.1299i | −2.31338 | + | 1.33563i | ||||
\(816\) | − | 1.58428i | − | 0.0554607i | ||||||
\(817\) | 3.03960 | − | 0.814457i | 0.106342 | − | 0.0284943i | ||||
\(818\) | 17.1209 | 0.598619 | ||||||||
\(819\) | 4.97844 | + | 8.13727i | 0.173961 | + | 0.284339i | ||||
\(820\) | 20.6161 | 0.719945 | ||||||||
\(821\) | 35.8503 | − | 9.60605i | 1.25118 | − | 0.335254i | 0.428390 | − | 0.903594i | \(-0.359081\pi\) |
0.822794 | + | 0.568340i | \(0.192414\pi\) | |||||||
\(822\) | − | 8.85494i | − | 0.308852i | ||||||
\(823\) | −7.52800 | + | 4.34629i | −0.262410 | + | 0.151502i | −0.625433 | − | 0.780278i | \(-0.715078\pi\) |
0.363024 | + | 0.931780i | \(0.381744\pi\) | |||||||
\(824\) | −1.51564 | − | 0.406115i | −0.0527999 | − | 0.0141477i | ||||
\(825\) | −11.0720 | − | 41.3211i | −0.385476 | − | 1.43862i | ||||
\(826\) | 13.0770 | − | 19.7059i | 0.455006 | − | 0.685655i | ||||
\(827\) | 12.9002 | − | 12.9002i | 0.448584 | − | 0.448584i | −0.446300 | − | 0.894884i | \(-0.647258\pi\) |
0.894884 | + | 0.446300i | \(0.147258\pi\) | |||||||
\(828\) | 7.07278 | 0.245796 | ||||||||
\(829\) | −23.7209 | −0.823861 | −0.411931 | − | 0.911215i | \(-0.635145\pi\) | ||||
−0.411931 | + | 0.911215i | \(0.635145\pi\) | |||||||
\(830\) | 37.3990 | − | 37.3990i | 1.29814 | − | 1.29814i | ||||
\(831\) | 4.70380 | + | 8.14723i | 0.163173 | + | 0.282624i | ||||
\(832\) | 1.52222 | − | 3.26846i | 0.0527736 | − | 0.113313i | ||||
\(833\) | −6.69527 | + | 8.84081i | −0.231977 | + | 0.306316i | ||||
\(834\) | 0.131555 | − | 0.490969i | 0.00455537 | − | 0.0170009i | ||||
\(835\) | −26.4256 | + | 45.7705i | −0.914496 | + | 1.58395i | ||||
\(836\) | −0.769877 | − | 1.33347i | −0.0266268 | − | 0.0461189i | ||||
\(837\) | −3.61293 | + | 0.968081i | −0.124881 | + | 0.0334618i | ||||
\(838\) | −0.977948 | + | 0.977948i | −0.0337827 | + | 0.0337827i | ||||
\(839\) | −36.7821 | + | 9.85572i | −1.26986 | + | 0.340257i | −0.829976 | − | 0.557799i | \(-0.811646\pi\) |
−0.439881 | + | 0.898056i | \(0.644979\pi\) | |||||||
\(840\) | 0.637756 | − | 10.2263i | 0.0220047 | − | 0.352843i | ||||
\(841\) | 5.08143 | − | 8.80129i | 0.175222 | − | 0.303493i | ||||
\(842\) | 24.3122 | + | 14.0366i | 0.837853 | + | 0.483735i | ||||
\(843\) | 6.76237 | + | 6.76237i | 0.232908 | + | 0.232908i | ||||
\(844\) | 6.55876 | + | 3.78670i | 0.225762 | + | 0.130344i | ||||
\(845\) | 21.3200 | + | 45.6080i | 0.733431 | + | 1.56896i | ||||
\(846\) | − | 1.99211i | − | 0.0684901i | ||||||
\(847\) | −10.6912 | + | 16.1108i | −0.367355 | + | 0.553573i | ||||
\(848\) | −4.42114 | − | 7.65764i | −0.151823 | − | 0.262964i | ||||
\(849\) | − | 2.35306i | − | 0.0807568i | ||||||
\(850\) | −4.09952 | − | 15.2996i | −0.140613 | − | 0.524773i | ||||
\(851\) | −3.55985 | + | 13.2855i | −0.122030 | + | 0.455422i | ||||
\(852\) | −3.23135 | − | 3.23135i | −0.110704 | − | 0.110704i | ||||
\(853\) | 8.19249 | + | 8.19249i | 0.280505 | + | 0.280505i | 0.833311 | − | 0.552805i | \(-0.186443\pi\) |
−0.552805 | + | 0.833311i | \(0.686443\pi\) | |||||||
\(854\) | 5.01554 | − | 14.9305i | 0.171628 | − | 0.510910i | ||||
\(855\) | −1.20691 | + | 0.696810i | −0.0412755 | + | 0.0238304i | ||||
\(856\) | −2.24012 | − | 8.36026i | −0.0765659 | − | 0.285748i | ||||
\(857\) | −3.89354 | + | 6.74381i | −0.133001 | + | 0.230364i | −0.924832 | − | 0.380376i | \(-0.875795\pi\) |
0.791831 | + | 0.610740i | \(0.209128\pi\) | |||||||
\(858\) | 8.85479 | + | 12.6332i | 0.302298 | + | 0.431291i | ||||
\(859\) | 40.9958 | − | 23.6689i | 1.39876 | − | 0.807573i | 0.404495 | − | 0.914540i | \(-0.367447\pi\) |
0.994263 | + | 0.106967i | \(0.0341139\pi\) | |||||||
\(860\) | 32.7115 | + | 8.76502i | 1.11545 | + | 0.298885i | ||||
\(861\) | −10.5598 | + | 9.32003i | −0.359878 | + | 0.317626i | ||||
\(862\) | −5.96766 | − | 3.44543i | −0.203259 | − | 0.117352i | ||||
\(863\) | 9.68771 | − | 36.1550i | 0.329774 | − | 1.23073i | −0.579652 | − | 0.814864i | \(-0.696811\pi\) |
0.909425 | − | 0.415868i | \(-0.136522\pi\) | |||||||
\(864\) | −0.965926 | − | 0.258819i | −0.0328615 | − | 0.00880520i | ||||
\(865\) | 66.1383 | + | 17.7217i | 2.24877 | + | 0.602556i | ||||
\(866\) | −1.70948 | + | 6.37988i | −0.0580906 | + | 0.216797i | ||||
\(867\) | −12.5488 | − | 7.24504i | −0.426179 | − | 0.246054i | ||||
\(868\) | −1.96136 | − | 9.69980i | −0.0665729 | − | 0.329233i | ||||
\(869\) | 67.5276 | + | 18.0940i | 2.29072 | + | 0.613796i | ||||
\(870\) | 14.5564 | − | 8.40412i | 0.493507 | − | 0.284926i | ||||
\(871\) | −15.3682 | − | 42.1615i | −0.520730 | − | 1.42859i | ||||
\(872\) | 4.99870 | − | 8.65800i | 0.169277 | − | 0.293197i | ||||
\(873\) | −2.68866 | − | 10.0342i | −0.0909973 | − | 0.339607i | ||||
\(874\) | 2.20420 | − | 1.27259i | 0.0745581 | − | 0.0430461i | ||||
\(875\) | −10.1494 | − | 50.1932i | −0.343111 | − | 1.69684i | ||||
\(876\) | 6.50197 | + | 6.50197i | 0.219681 | + | 0.219681i | ||||
\(877\) | 8.74056 | + | 8.74056i | 0.295148 | + | 0.295148i | 0.839110 | − | 0.543962i | \(-0.183076\pi\) |
−0.543962 | + | 0.839110i | \(0.683076\pi\) | |||||||
\(878\) | −2.89027 | + | 10.7866i | −0.0975419 | + | 0.364031i | ||||
\(879\) | −4.83207 | − | 18.0335i | −0.162982 | − | 0.608256i | ||||
\(880\) | − | 16.5705i | − | 0.558592i | ||||||
\(881\) | 8.46718 | + | 14.6656i | 0.285267 | + | 0.494096i | 0.972674 | − | 0.232176i | \(-0.0745845\pi\) |
−0.687407 | + | 0.726272i | \(0.741251\pi\) | |||||||
\(882\) | 4.29641 | + | 5.52638i | 0.144668 | + | 0.186083i | ||||
\(883\) | − | 14.3982i | − | 0.484537i | −0.970209 | − | 0.242268i | \(-0.922109\pi\) | ||
0.970209 | − | 0.242268i | \(-0.0778914\pi\) | |||||||
\(884\) | 3.27859 | + | 4.67760i | 0.110271 | + | 0.157325i | ||||
\(885\) | −29.9799 | − | 17.3089i | −1.00776 | − | 0.581832i | ||||
\(886\) | −7.21834 | − | 7.21834i | −0.242505 | − | 0.242505i | ||||
\(887\) | −37.1566 | − | 21.4524i | −1.24760 | − | 0.720300i | −0.276966 | − | 0.960880i | \(-0.589329\pi\) |
−0.970629 | + | 0.240580i | \(0.922662\pi\) | |||||||
\(888\) | 0.972333 | − | 1.68413i | 0.0326294 | − | 0.0565157i | ||||
\(889\) | 48.9025 | + | 3.04976i | 1.64014 | + | 0.102286i | ||||
\(890\) | 61.2318 | − | 16.4070i | 2.05249 | − | 0.549964i | ||||
\(891\) | 3.02557 | − | 3.02557i | 0.101360 | − | 0.101360i | ||||
\(892\) | 13.7367 | − | 3.68073i | 0.459938 | − | 0.123240i | ||||
\(893\) | −0.358437 | − | 0.620831i | −0.0119946 | − | 0.0207753i | ||||
\(894\) | 8.76790 | − | 15.1864i | 0.293242 | − | 0.507911i | ||||
\(895\) | −1.47976 | + | 5.52253i | −0.0494628 | + | 0.184598i | ||||
\(896\) | 0.842511 | − | 2.50802i | 0.0281463 | − | 0.0837871i | ||||
\(897\) | −20.8825 | + | 14.6368i | −0.697246 | + | 0.488709i | ||||
\(898\) | −15.4532 | − | 26.7656i | −0.515678 | − | 0.893181i | ||||
\(899\) | 11.4791 | − | 11.4791i | 0.382850 | − | 0.382850i | ||||
\(900\) | −9.99785 | −0.333262 | ||||||||
\(901\) | 14.0086 | 0.466694 | ||||||||
\(902\) | −16.1064 | + | 16.1064i | −0.536285 | + | 0.536285i | ||||
\(903\) | −20.7177 | + | 10.2985i | −0.689441 | + | 0.342713i | ||||
\(904\) | −0.578994 | − | 2.16084i | −0.0192571 | − | 0.0718684i | ||||
\(905\) | −53.8436 | − | 14.4273i | −1.78982 | − | 0.479581i | ||||
\(906\) | −19.8362 | + | 11.4524i | −0.659013 | + | 0.380481i | ||||
\(907\) | 49.7264i | 1.65114i | 0.564301 | + | 0.825569i | \(0.309146\pi\) | ||||
−0.564301 | + | 0.825569i | \(0.690854\pi\) | |||||||
\(908\) | −25.6700 | + | 6.87826i | −0.851890 | + | 0.228263i | ||||
\(909\) | −12.4787 | −0.413893 | ||||||||
\(910\) | 19.2800 | + | 31.5133i | 0.639126 | + | 1.04465i | ||||
\(911\) | 0.604437 | 0.0200259 | 0.0100129 | − | 0.999950i | \(-0.496813\pi\) | ||||
0.0100129 | + | 0.999950i | \(0.496813\pi\) | |||||||
\(912\) | −0.347595 | + | 0.0931378i | −0.0115100 | + | 0.00308410i | ||||
\(913\) | 58.4363i | 1.93396i | ||||||||
\(914\) | 17.7200 | − | 10.2307i | 0.586126 | − | 0.338400i | ||||
\(915\) | −22.2690 | − | 5.96695i | −0.736190 | − | 0.197261i | ||||
\(916\) | −1.60726 | − | 5.99836i | −0.0531053 | − | 0.198191i | ||||
\(917\) | −34.1022 | − | 2.12675i | −1.12615 | − | 0.0702315i | ||||
\(918\) | 1.12025 | − | 1.12025i | 0.0369738 | − | 0.0369738i | ||||
\(919\) | 34.1289 | 1.12581 | 0.562905 | − | 0.826522i | \(-0.309684\pi\) | ||||
0.562905 | + | 0.826522i | \(0.309684\pi\) | |||||||
\(920\) | 27.3908 | 0.903047 | ||||||||
\(921\) | −1.49765 | + | 1.49765i | −0.0493493 | + | 0.0493493i | ||||
\(922\) | 4.67860 | + | 8.10357i | 0.154081 | + | 0.266877i | ||||
\(923\) | 16.2277 | + | 2.85346i | 0.534142 | + | 0.0939228i | ||||
\(924\) | 7.49113 | + | 8.48763i | 0.246440 | + | 0.279222i | ||||
\(925\) | 5.03208 | − | 18.7800i | 0.165454 | − | 0.617482i | ||||
\(926\) | −12.7138 | + | 22.0209i | −0.417801 | + | 0.723652i | ||||
\(927\) | −0.784555 | − | 1.35889i | −0.0257682 | − | 0.0446317i | ||||
\(928\) | 4.19229 | − | 1.12332i | 0.137619 | − | 0.0368748i | ||||
\(929\) | −4.47695 | + | 4.47695i | −0.146884 | + | 0.146884i | −0.776725 | − | 0.629840i | \(-0.783120\pi\) |
0.629840 | + | 0.776725i | \(0.283120\pi\) | |||||||
\(930\) | −13.9918 | + | 3.74909i | −0.458809 | + | 0.122938i | ||||
\(931\) | 2.33331 | + | 0.949221i | 0.0764711 | + | 0.0311095i | ||||
\(932\) | −9.13186 | + | 15.8168i | −0.299124 | + | 0.518098i | ||||
\(933\) | −13.4392 | − | 7.75912i | −0.439979 | − | 0.254022i | ||||
\(934\) | 12.0144 | + | 12.0144i | 0.393125 | + | 0.393125i | ||||
\(935\) | 22.7351 | + | 13.1261i | 0.743519 | + | 0.429271i | ||||
\(936\) | 3.38753 | − | 1.23478i | 0.110725 | − | 0.0403599i | ||||
\(937\) | 58.3352i | 1.90573i | 0.303398 | + | 0.952864i | \(0.401879\pi\) | ||||
−0.303398 | + | 0.952864i | \(0.598121\pi\) | |||||||
\(938\) | −14.6577 | − | 29.4871i | −0.478591 | − | 0.962789i | ||||
\(939\) | 0.867872 | + | 1.50320i | 0.0283219 | + | 0.0490550i | ||||
\(940\) | − | 7.71485i | − | 0.251631i | ||||||
\(941\) | −9.84700 | − | 36.7495i | −0.321003 | − | 1.19800i | −0.918269 | − | 0.395956i | \(-0.870413\pi\) |
0.597266 | − | 0.802043i | \(-0.296253\pi\) | |||||||
\(942\) | 0.169830 | − | 0.633814i | 0.00553336 | − | 0.0206508i | ||||
\(943\) | −26.6236 | − | 26.6236i | −0.866984 | − | 0.866984i | ||||
\(944\) | −6.32076 | − | 6.32076i | −0.205723 | − | 0.205723i | ||||
\(945\) | 7.68208 | − | 6.78016i | 0.249898 | − | 0.220559i | ||||
\(946\) | −32.4037 | + | 18.7083i | −1.05354 | + | 0.608259i | ||||
\(947\) | −5.48121 | − | 20.4561i | −0.178115 | − | 0.664735i | −0.996000 | − | 0.0893532i | \(-0.971520\pi\) |
0.817885 | − | 0.575382i | \(-0.195147\pi\) | |||||||
\(948\) | 8.16932 | − | 14.1497i | 0.265327 | − | 0.459560i | ||||
\(949\) | −32.6527 | − | 5.74161i | −1.05995 | − | 0.186381i | ||||
\(950\) | −3.11578 | + | 1.79890i | −0.101089 | + | 0.0583639i | ||||
\(951\) | −32.7388 | − | 8.77234i | −1.06163 | − | 0.284462i | ||||
\(952\) | 2.77368 | + | 3.14264i | 0.0898954 | + | 0.101854i | ||||
\(953\) | 35.7121 | + | 20.6184i | 1.15683 | + | 0.667895i | 0.950542 | − | 0.310596i | \(-0.100529\pi\) |
0.206287 | + | 0.978492i | \(0.433862\pi\) | |||||||
\(954\) | 2.28855 | − | 8.54098i | 0.0740945 | − | 0.276525i | ||||
\(955\) | 2.44953 | + | 0.656349i | 0.0792648 | + | 0.0212389i | ||||
\(956\) | 0.216015 | + | 0.0578810i | 0.00698642 | + | 0.00187201i | ||||
\(957\) | −4.80646 | + | 17.9380i | −0.155371 | + | 0.579852i | ||||
\(958\) | 37.1058 | + | 21.4231i | 1.19884 | + | 0.692148i | ||||
\(959\) | 15.5028 | + | 17.5651i | 0.500613 | + | 0.567206i | ||||
\(960\) | −3.74075 | − | 1.00233i | −0.120732 | − | 0.0323501i | ||||
\(961\) | 14.7307 | − | 8.50478i | 0.475184 | − | 0.274348i | ||||
\(962\) | 0.614409 | + | 6.98462i | 0.0198094 | + | 0.225193i | ||||
\(963\) | 4.32759 | − | 7.49560i | 0.139455 | − | 0.241542i | ||||
\(964\) | 3.45246 | + | 12.8848i | 0.111196 | + | 0.414990i | ||||
\(965\) | −11.1569 | + | 6.44145i | −0.359154 | + | 0.207358i | ||||
\(966\) | −14.0299 | + | 12.3827i | −0.451404 | + | 0.398407i | ||||
\(967\) | −23.8026 | − | 23.8026i | −0.765439 | − | 0.765439i | 0.211861 | − | 0.977300i | \(-0.432048\pi\) |
−0.977300 | + | 0.211861i | \(0.932048\pi\) | |||||||
\(968\) | 5.16762 | + | 5.16762i | 0.166093 | + | 0.166093i | ||||
\(969\) | 0.147556 | − | 0.550686i | 0.00474018 | − | 0.0176906i | ||||
\(970\) | −10.4124 | − | 38.8596i | −0.334322 | − | 1.24771i | ||||
\(971\) | 5.73070i | 0.183907i | 0.995763 | + | 0.0919534i | \(0.0293111\pi\) | ||||
−0.995763 | + | 0.0919534i | \(0.970689\pi\) | |||||||
\(972\) | −0.500000 | − | 0.866025i | −0.0160375 | − | 0.0277778i | ||||
\(973\) | 0.598608 | + | 1.20423i | 0.0191905 | + | 0.0386058i | ||||
\(974\) | 0.859746i | 0.0275480i | ||||||||
\(975\) | 29.5188 | − | 20.6901i | 0.945358 | − | 0.662614i | ||||
\(976\) | −5.15552 | − | 2.97654i | −0.165024 | − | 0.0952768i | ||||
\(977\) | 21.9031 | + | 21.9031i | 0.700741 | + | 0.700741i | 0.964570 | − | 0.263828i | \(-0.0849852\pi\) |
−0.263828 | + | 0.964570i | \(0.584985\pi\) | |||||||
\(978\) | −17.0534 | − | 9.84580i | −0.545309 | − | 0.314834i | ||||
\(979\) | −35.0195 | + | 60.6556i | −1.11923 | + | 1.93856i | ||||
\(980\) | 16.6387 | + | 21.4020i | 0.531505 | + | 0.683663i | ||||
\(981\) | 9.65675 | − | 2.58752i | 0.308316 | − | 0.0826131i | ||||
\(982\) | −3.87560 | + | 3.87560i | −0.123675 | + | 0.123675i | ||||
\(983\) | 8.82392 | − | 2.36436i | 0.281439 | − | 0.0754114i | −0.115338 | − | 0.993326i | \(-0.536795\pi\) |
0.396777 | + | 0.917915i | \(0.370128\pi\) | |||||||
\(984\) | 2.66172 | + | 4.61023i | 0.0848525 | + | 0.146969i | ||||
\(985\) | −18.4846 | + | 32.0162i | −0.588968 | + | 1.02012i | ||||
\(986\) | −1.77965 | + | 6.64174i | −0.0566756 | + | 0.211516i | ||||
\(987\) | 3.48770 | + | 3.95164i | 0.111015 | + | 0.125782i | ||||
\(988\) | 0.833535 | − | 0.994324i | 0.0265183 | − | 0.0316337i | ||||
\(989\) | −30.9245 | − | 53.5627i | −0.983341 | − | 1.70320i | ||||
\(990\) | 11.7171 | − | 11.7171i | 0.372395 | − | 0.372395i | ||||
\(991\) | 24.5403 | 0.779547 | 0.389773 | − | 0.920911i | \(-0.372553\pi\) | ||||
0.389773 | + | 0.920911i | \(0.372553\pi\) | |||||||
\(992\) | −3.74038 | −0.118757 | ||||||||
\(993\) | 6.04854 | − | 6.04854i | 0.191945 | − | 0.191945i | ||||
\(994\) | 12.0671 | + | 0.752556i | 0.382747 | + | 0.0238696i | ||||
\(995\) | −15.8775 | − | 59.2557i | −0.503351 | − | 1.87853i | ||||
\(996\) | 13.1918 | + | 3.53474i | 0.417999 | + | 0.112002i | ||||
\(997\) | 6.79694 | − | 3.92421i | 0.215261 | − | 0.124281i | −0.388493 | − | 0.921452i | \(-0.627004\pi\) |
0.603754 | + | 0.797171i | \(0.293671\pi\) | |||||||
\(998\) | − | 15.9327i | − | 0.504342i | ||||||
\(999\) | 1.87840 | − | 0.503317i | 0.0594301 | − | 0.0159242i |
(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 | 546.2.by.a.115.4 | yes | 32 | |
7.5 | odd | 6 | 546.2.cg.a.271.8 | yes | 32 | ||
13.6 | odd | 12 | 546.2.cg.a.409.8 | yes | 32 | ||
91.19 | even | 12 | inner | 546.2.by.a.19.4 | ✓ | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.by.a.19.4 | ✓ | 32 | 91.19 | even | 12 | inner | |
546.2.by.a.115.4 | yes | 32 | 1.1 | even | 1 | trivial | |
546.2.cg.a.271.8 | yes | 32 | 7.5 | odd | 6 | ||
546.2.cg.a.409.8 | yes | 32 | 13.6 | odd | 12 |