Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(311,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.311");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bg (of order \(6\), 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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 467.8 | ||
Character | \(\chi\) | \(=\) | 546.467 |
Dual form | 546.2.bg.a.311.8 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | + | 0.866025i | −0.353553 | + | 0.612372i | ||||
\(3\) | −0.418670 | − | 1.68069i | −0.241719 | − | 0.970346i | ||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | 0.0916492 | + | 0.0529137i | 0.0409868 | + | 0.0236637i | 0.520353 | − | 0.853951i | \(-0.325800\pi\) |
−0.479367 | + | 0.877615i | \(0.659134\pi\) | |||||||
\(6\) | 1.66485 | + | 0.477766i | 0.679674 | + | 0.195047i | ||||
\(7\) | 2.29863 | − | 1.31008i | 0.868800 | − | 0.495163i | ||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | −2.64943 | + | 1.40731i | −0.883144 | + | 0.469102i | ||||
\(10\) | −0.0916492 | + | 0.0529137i | −0.0289820 | + | 0.0167328i | ||||
\(11\) | 0.603696 | + | 1.04563i | 0.182021 | + | 0.315270i | 0.942569 | − | 0.334012i | \(-0.108403\pi\) |
−0.760547 | + | 0.649282i | \(0.775069\pi\) | |||||||
\(12\) | −1.24618 | + | 1.20292i | −0.359743 | + | 0.347254i | ||||
\(13\) | 3.60130 | + | 0.175001i | 0.998821 | + | 0.0485364i | ||||
\(14\) | −0.0147545 | + | 2.64571i | −0.00394331 | + | 0.707096i | ||||
\(15\) | 0.0505607 | − | 0.176187i | 0.0130547 | − | 0.0454913i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −1.14124 | − | 1.97669i | −0.276792 | − | 0.479417i | 0.693794 | − | 0.720174i | \(-0.255938\pi\) |
−0.970586 | + | 0.240756i | \(0.922605\pi\) | |||||||
\(18\) | 0.105953 | − | 2.99813i | 0.0249733 | − | 0.706666i | ||||
\(19\) | 1.82371 | − | 3.15875i | 0.418387 | − | 0.724667i | −0.577390 | − | 0.816468i | \(-0.695929\pi\) |
0.995777 | + | 0.0918008i | \(0.0292623\pi\) | |||||||
\(20\) | − | 0.105827i | − | 0.0236637i | ||||||
\(21\) | −3.16420 | − | 3.31479i | −0.690485 | − | 0.723347i | ||||
\(22\) | −1.20739 | −0.257417 | ||||||||
\(23\) | −0.845930 | − | 0.488398i | −0.176389 | − | 0.101838i | 0.409206 | − | 0.912442i | \(-0.365806\pi\) |
−0.585595 | + | 0.810604i | \(0.699139\pi\) | |||||||
\(24\) | −0.418670 | − | 1.68069i | −0.0854606 | − | 0.343069i | ||||
\(25\) | −2.49440 | − | 4.32043i | −0.498880 | − | 0.864086i | ||||
\(26\) | −1.95221 | + | 3.03132i | −0.382859 | + | 0.594490i | ||||
\(27\) | 3.47448 | + | 3.86367i | 0.668664 | + | 0.743565i | ||||
\(28\) | −2.28387 | − | 1.33563i | −0.431612 | − | 0.252411i | ||||
\(29\) | − | 7.03811i | − | 1.30694i | −0.756951 | − | 0.653472i | \(-0.773312\pi\) | ||
0.756951 | − | 0.653472i | \(-0.226688\pi\) | |||||||
\(30\) | 0.127302 | + | 0.131880i | 0.0232421 | + | 0.0240780i | ||||
\(31\) | −0.610707 | − | 1.05778i | −0.109686 | − | 0.189982i | 0.805957 | − | 0.591974i | \(-0.201651\pi\) |
−0.915643 | + | 0.401992i | \(0.868318\pi\) | |||||||
\(32\) | −0.500000 | − | 0.866025i | −0.0883883 | − | 0.153093i | ||||
\(33\) | 1.50463 | − | 1.45240i | 0.261923 | − | 0.252830i | ||||
\(34\) | 2.28248 | 0.391442 | ||||||||
\(35\) | 0.279988 | + | 0.00156143i | 0.0473267 | + | 0.000263930i | ||||
\(36\) | 2.54348 | + | 1.59082i | 0.423913 | + | 0.265137i | ||||
\(37\) | −2.01173 | − | 1.16147i | −0.330726 | − | 0.190945i | 0.325438 | − | 0.945564i | \(-0.394488\pi\) |
−0.656163 | + | 0.754619i | \(0.727822\pi\) | |||||||
\(38\) | 1.82371 | + | 3.15875i | 0.295844 | + | 0.512417i | ||||
\(39\) | −1.21363 | − | 6.12594i | −0.194337 | − | 0.980935i | ||||
\(40\) | 0.0916492 | + | 0.0529137i | 0.0144910 | + | 0.00836639i | ||||
\(41\) | − | 0.417669i | − | 0.0652290i | −0.999468 | − | 0.0326145i | \(-0.989617\pi\) | ||
0.999468 | − | 0.0326145i | \(-0.0103834\pi\) | |||||||
\(42\) | 4.45279 | − | 1.08288i | 0.687081 | − | 0.167092i | ||||
\(43\) | 4.90433 | 0.747903 | 0.373951 | − | 0.927448i | \(-0.378003\pi\) | ||||
0.373951 | + | 0.927448i | \(0.378003\pi\) | |||||||
\(44\) | 0.603696 | − | 1.04563i | 0.0910106 | − | 0.157635i | ||||
\(45\) | −0.317284 | − | 0.0112127i | −0.0472979 | − | 0.00167149i | ||||
\(46\) | 0.845930 | − | 0.488398i | 0.124726 | − | 0.0720104i | ||||
\(47\) | 1.47958 | + | 0.854236i | 0.215819 | + | 0.124603i | 0.604013 | − | 0.796975i | \(-0.293568\pi\) |
−0.388194 | + | 0.921578i | \(0.626901\pi\) | |||||||
\(48\) | 1.66485 | + | 0.477766i | 0.240301 | + | 0.0689596i | ||||
\(49\) | 3.56739 | − | 6.02276i | 0.509628 | − | 0.860395i | ||||
\(50\) | 4.98880 | 0.705523 | ||||||||
\(51\) | −2.84439 | + | 2.74565i | −0.398295 | + | 0.384468i | ||||
\(52\) | −1.64910 | − | 3.20632i | −0.228688 | − | 0.444636i | ||||
\(53\) | 1.77421 | − | 1.02434i | 0.243706 | − | 0.140704i | −0.373173 | − | 0.927762i | \(-0.621730\pi\) |
0.616879 | + | 0.787058i | \(0.288397\pi\) | |||||||
\(54\) | −5.08328 | + | 1.07715i | −0.691747 | + | 0.146582i | ||||
\(55\) | 0.127775i | 0.0172292i | ||||||||
\(56\) | 2.29863 | − | 1.31008i | 0.307167 | − | 0.175066i | ||||
\(57\) | −6.07241 | − | 1.74261i | −0.804310 | − | 0.230814i | ||||
\(58\) | 6.09518 | + | 3.51906i | 0.800337 | + | 0.462075i | ||||
\(59\) | 9.04020 | − | 5.21936i | 1.17693 | − | 0.679503i | 0.221631 | − | 0.975131i | \(-0.428862\pi\) |
0.955303 | + | 0.295628i | \(0.0955287\pi\) | |||||||
\(60\) | −0.177863 | + | 0.0443067i | −0.0229620 | + | 0.00571997i | ||||
\(61\) | −8.67338 | − | 5.00758i | −1.11051 | − | 0.641154i | −0.171550 | − | 0.985175i | \(-0.554878\pi\) |
−0.938962 | + | 0.344021i | \(0.888211\pi\) | |||||||
\(62\) | 1.22141 | 0.155120 | ||||||||
\(63\) | −4.24638 | + | 6.70584i | −0.534994 | + | 0.844856i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 0.320796 | + | 0.206597i | 0.0397899 | + | 0.0256252i | ||||
\(66\) | 0.505498 | + | 2.02925i | 0.0622226 | + | 0.249784i | ||||
\(67\) | −5.65318 | + | 3.26387i | −0.690646 | + | 0.398745i | −0.803854 | − | 0.594827i | \(-0.797221\pi\) |
0.113208 | + | 0.993571i | \(0.463887\pi\) | |||||||
\(68\) | −1.14124 | + | 1.97669i | −0.138396 | + | 0.239709i | ||||
\(69\) | −0.466680 | + | 1.62622i | −0.0561817 | + | 0.195774i | ||||
\(70\) | −0.141346 | + | 0.241696i | −0.0168941 | + | 0.0288882i | ||||
\(71\) | 2.72046 | 0.322859 | 0.161430 | − | 0.986884i | \(-0.448390\pi\) | ||||
0.161430 | + | 0.986884i | \(0.448390\pi\) | |||||||
\(72\) | −2.64943 | + | 1.40731i | −0.312239 | + | 0.165853i | ||||
\(73\) | 3.72258 | + | 6.44769i | 0.435695 | + | 0.754645i | 0.997352 | − | 0.0727248i | \(-0.0231695\pi\) |
−0.561658 | + | 0.827370i | \(0.689836\pi\) | |||||||
\(74\) | 2.01173 | − | 1.16147i | 0.233858 | − | 0.135018i | ||||
\(75\) | −6.21697 | + | 6.00114i | −0.717874 | + | 0.692952i | ||||
\(76\) | −3.64741 | −0.418387 | ||||||||
\(77\) | 2.75753 | + | 1.61263i | 0.314250 | + | 0.183777i | ||||
\(78\) | 5.91203 | + | 2.01193i | 0.669406 | + | 0.227806i | ||||
\(79\) | −5.04911 | + | 8.74532i | −0.568069 | + | 0.983925i | 0.428687 | + | 0.903453i | \(0.358976\pi\) |
−0.996757 | + | 0.0804722i | \(0.974357\pi\) | |||||||
\(80\) | −0.0916492 | + | 0.0529137i | −0.0102467 | + | 0.00591593i | ||||
\(81\) | 5.03898 | − | 7.45713i | 0.559886 | − | 0.828569i | ||||
\(82\) | 0.361712 | + | 0.208835i | 0.0399444 | + | 0.0230619i | ||||
\(83\) | 11.6784i | 1.28188i | 0.767593 | + | 0.640938i | \(0.221454\pi\) | ||||
−0.767593 | + | 0.640938i | \(0.778546\pi\) | |||||||
\(84\) | −1.28859 | + | 4.39767i | −0.140597 | + | 0.479825i | ||||
\(85\) | − | 0.241549i | − | 0.0261997i | ||||||
\(86\) | −2.45216 | + | 4.24727i | −0.264424 | + | 0.457995i | ||||
\(87\) | −11.8289 | + | 2.94664i | −1.26819 | + | 0.315913i | ||||
\(88\) | 0.603696 | + | 1.04563i | 0.0643542 | + | 0.111465i | ||||
\(89\) | 14.7044 | + | 8.48960i | 1.55867 | + | 0.899896i | 0.997385 | + | 0.0722705i | \(0.0230245\pi\) |
0.561281 | + | 0.827626i | \(0.310309\pi\) | |||||||
\(90\) | 0.168352 | − | 0.269170i | 0.0177459 | − | 0.0283730i | ||||
\(91\) | 8.50732 | − | 4.31572i | 0.891810 | − | 0.452411i | ||||
\(92\) | 0.976796i | 0.101838i | ||||||||
\(93\) | −1.52211 | + | 1.46927i | −0.157835 | + | 0.152356i | ||||
\(94\) | −1.47958 | + | 0.854236i | −0.152607 | + | 0.0881077i | ||||
\(95\) | 0.334282 | − | 0.192998i | 0.0342966 | − | 0.0198012i | ||||
\(96\) | −1.24618 | + | 1.20292i | −0.127188 | + | 0.122773i | ||||
\(97\) | −8.85297 | −0.898883 | −0.449441 | − | 0.893310i | \(-0.648377\pi\) | ||||
−0.449441 | + | 0.893310i | \(0.648377\pi\) | |||||||
\(98\) | 3.43217 | + | 6.10084i | 0.346701 | + | 0.616278i | ||||
\(99\) | −3.07098 | − | 1.92075i | −0.308645 | − | 0.193042i | ||||
\(100\) | −2.49440 | + | 4.32043i | −0.249440 | + | 0.432043i | ||||
\(101\) | 5.84190 | + | 10.1185i | 0.581291 | + | 1.00682i | 0.995327 | + | 0.0965644i | \(0.0307854\pi\) |
−0.414036 | + | 0.910260i | \(0.635881\pi\) | |||||||
\(102\) | −0.955606 | − | 3.83614i | −0.0946191 | − | 0.379835i | ||||
\(103\) | −0.999136 | − | 0.576851i | −0.0984478 | − | 0.0568388i | 0.449968 | − | 0.893045i | \(-0.351435\pi\) |
−0.548416 | + | 0.836206i | \(0.684769\pi\) | |||||||
\(104\) | 3.60130 | + | 0.175001i | 0.353137 | + | 0.0171602i | ||||
\(105\) | −0.114598 | − | 0.471227i | −0.0111837 | − | 0.0459871i | ||||
\(106\) | 2.04868i | 0.198985i | ||||||||
\(107\) | −10.5362 | − | 6.08311i | −1.01858 | − | 0.588076i | −0.104886 | − | 0.994484i | \(-0.533448\pi\) |
−0.913692 | + | 0.406408i | \(0.866781\pi\) | |||||||
\(108\) | 1.60880 | − | 4.94083i | 0.154807 | − | 0.475431i | ||||
\(109\) | −6.24015 | + | 3.60275i | −0.597698 | + | 0.345081i | −0.768135 | − | 0.640287i | \(-0.778815\pi\) |
0.170437 | + | 0.985368i | \(0.445482\pi\) | |||||||
\(110\) | −0.110657 | − | 0.0638876i | −0.0105507 | − | 0.00609144i | ||||
\(111\) | −1.10982 | + | 3.86736i | −0.105340 | + | 0.367073i | ||||
\(112\) | −0.0147545 | + | 2.64571i | −0.00139417 | + | 0.249996i | ||||
\(113\) | − | 13.3168i | − | 1.25274i | −0.779526 | − | 0.626370i | \(-0.784540\pi\) | ||
0.779526 | − | 0.626370i | \(-0.215460\pi\) | |||||||
\(114\) | 4.54535 | − | 4.38756i | 0.425711 | − | 0.410932i | ||||
\(115\) | −0.0516859 | − | 0.0895226i | −0.00481973 | − | 0.00834802i | ||||
\(116\) | −6.09518 | + | 3.51906i | −0.565924 | + | 0.326736i | ||||
\(117\) | −9.78768 | + | 4.60448i | −0.904872 | + | 0.425685i | ||||
\(118\) | 10.4387i | 0.960963i | ||||||||
\(119\) | −5.21290 | − | 3.04856i | −0.477866 | − | 0.279461i | ||||
\(120\) | 0.0505607 | − | 0.176187i | 0.00461554 | − | 0.0160836i | ||||
\(121\) | 4.77110 | − | 8.26379i | 0.433737 | − | 0.751254i | ||||
\(122\) | 8.67338 | − | 5.00758i | 0.785251 | − | 0.453365i | ||||
\(123\) | −0.701972 | + | 0.174865i | −0.0632947 | + | 0.0157671i | ||||
\(124\) | −0.610707 | + | 1.05778i | −0.0548431 | + | 0.0949910i | ||||
\(125\) | − | 1.05709i | − | 0.0945488i | ||||||
\(126\) | −3.68423 | − | 7.03039i | −0.328218 | − | 0.626317i | ||||
\(127\) | 13.7882 | 1.22351 | 0.611755 | − | 0.791048i | \(-0.290464\pi\) | ||||
0.611755 | + | 0.791048i | \(0.290464\pi\) | |||||||
\(128\) | −0.500000 | + | 0.866025i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | −2.05329 | − | 8.24265i | −0.180782 | − | 0.725725i | ||||
\(130\) | −0.339316 | + | 0.174519i | −0.0297600 | + | 0.0153064i | ||||
\(131\) | −6.41784 | + | 11.1160i | −0.560729 | + | 0.971212i | 0.436704 | + | 0.899605i | \(0.356146\pi\) |
−0.997433 | + | 0.0716063i | \(0.977187\pi\) | |||||||
\(132\) | −2.01013 | − | 0.576851i | −0.174960 | − | 0.0502085i | ||||
\(133\) | 0.0538159 | − | 9.65000i | 0.00466643 | − | 0.836761i | ||||
\(134\) | − | 6.52773i | − | 0.563910i | ||||||
\(135\) | 0.113992 | + | 0.537950i | 0.00981088 | + | 0.0462994i | ||||
\(136\) | −1.14124 | − | 1.97669i | −0.0978606 | − | 0.169500i | ||||
\(137\) | 2.91269 | + | 5.04492i | 0.248848 | + | 0.431017i | 0.963206 | − | 0.268763i | \(-0.0866148\pi\) |
−0.714359 | + | 0.699780i | \(0.753282\pi\) | |||||||
\(138\) | −1.17501 | − | 1.21727i | −0.100024 | − | 0.103621i | ||||
\(139\) | 18.0901i | 1.53438i | 0.641420 | + | 0.767190i | \(0.278346\pi\) | ||||
−0.641420 | + | 0.767190i | \(0.721654\pi\) | |||||||
\(140\) | −0.138642 | − | 0.243258i | −0.0117174 | − | 0.0205590i | ||||
\(141\) | 0.816250 | − | 2.84436i | 0.0687406 | − | 0.239538i | ||||
\(142\) | −1.36023 | + | 2.35599i | −0.114148 | + | 0.197710i | ||||
\(143\) | 1.99111 | + | 3.87129i | 0.166505 | + | 0.323733i | ||||
\(144\) | 0.105953 | − | 2.99813i | 0.00882938 | − | 0.249844i | ||||
\(145\) | 0.372412 | − | 0.645037i | 0.0309272 | − | 0.0535674i | ||||
\(146\) | −7.44515 | −0.616165 | ||||||||
\(147\) | −11.6160 | − | 3.47413i | −0.958068 | − | 0.286542i | ||||
\(148\) | 2.32294i | 0.190945i | ||||||||
\(149\) | 5.92542 | − | 10.2631i | 0.485429 | − | 0.840788i | −0.514430 | − | 0.857532i | \(-0.671997\pi\) |
0.999860 | + | 0.0167437i | \(0.00532993\pi\) | |||||||
\(150\) | −2.08866 | − | 8.38462i | −0.170538 | − | 0.684602i | ||||
\(151\) | −15.7115 | + | 9.07106i | −1.27859 | + | 0.738192i | −0.976588 | − | 0.215116i | \(-0.930987\pi\) |
−0.301998 | + | 0.953309i | \(0.597654\pi\) | |||||||
\(152\) | 1.82371 | − | 3.15875i | 0.147922 | − | 0.256209i | ||||
\(153\) | 5.80545 | + | 3.63102i | 0.469342 | + | 0.293551i | ||||
\(154\) | −2.77535 | + | 1.58178i | −0.223644 | + | 0.127463i | ||||
\(155\) | − | 0.129259i | − | 0.0103823i | ||||||
\(156\) | −4.69840 | + | 4.11401i | −0.376173 | + | 0.329384i | ||||
\(157\) | −15.3218 | + | 8.84604i | −1.22281 | + | 0.705991i | −0.965516 | − | 0.260342i | \(-0.916165\pi\) |
−0.257295 | + | 0.966333i | \(0.582831\pi\) | |||||||
\(158\) | −5.04911 | − | 8.74532i | −0.401686 | − | 0.695740i | ||||
\(159\) | −2.46440 | − | 2.55303i | −0.195440 | − | 0.202468i | ||||
\(160\) | − | 0.105827i | − | 0.00836639i | ||||||
\(161\) | −2.58432 | − | 0.0144122i | −0.203673 | − | 0.00113584i | ||||
\(162\) | 3.93857 | + | 8.09244i | 0.309443 | + | 0.635802i | ||||
\(163\) | 4.80436 | + | 2.77380i | 0.376306 | + | 0.217261i | 0.676210 | − | 0.736709i | \(-0.263621\pi\) |
−0.299904 | + | 0.953970i | \(0.596955\pi\) | |||||||
\(164\) | −0.361712 | + | 0.208835i | −0.0282450 | + | 0.0163072i | ||||
\(165\) | 0.214750 | − | 0.0534956i | 0.0167183 | − | 0.00416462i | ||||
\(166\) | −10.1138 | − | 5.83922i | −0.784985 | − | 0.453211i | ||||
\(167\) | 9.21026i | 0.712712i | 0.934350 | + | 0.356356i | \(0.115981\pi\) | ||||
−0.934350 | + | 0.356356i | \(0.884019\pi\) | |||||||
\(168\) | −3.16420 | − | 3.31479i | −0.244123 | − | 0.255742i | ||||
\(169\) | 12.9387 | + | 1.26046i | 0.995288 | + | 0.0969584i | ||||
\(170\) | 0.209188 | + | 0.120775i | 0.0160440 | + | 0.00926298i | ||||
\(171\) | −0.386453 | + | 10.9354i | −0.0295528 | + | 0.836252i | ||||
\(172\) | −2.45216 | − | 4.24727i | −0.186976 | − | 0.323851i | ||||
\(173\) | 5.82669 | − | 10.0921i | 0.442995 | − | 0.767289i | −0.554915 | − | 0.831907i | \(-0.687249\pi\) |
0.997910 | + | 0.0646174i | \(0.0205827\pi\) | |||||||
\(174\) | 3.36257 | − | 11.7174i | 0.254916 | − | 0.888296i | ||||
\(175\) | −11.3938 | − | 6.66321i | −0.861290 | − | 0.503691i | ||||
\(176\) | −1.20739 | −0.0910106 | ||||||||
\(177\) | −12.5570 | − | 13.0086i | −0.943841 | − | 0.977785i | ||||
\(178\) | −14.7044 | + | 8.48960i | −1.10214 | + | 0.636323i | ||||
\(179\) | −15.1632 | + | 8.75448i | −1.13335 | + | 0.654341i | −0.944776 | − | 0.327718i | \(-0.893720\pi\) |
−0.188576 | + | 0.982059i | \(0.560387\pi\) | |||||||
\(180\) | 0.148932 | + | 0.280382i | 0.0111007 | + | 0.0208985i | ||||
\(181\) | 13.3881i | 0.995127i | 0.867428 | + | 0.497564i | \(0.165772\pi\) | ||||
−0.867428 | + | 0.497564i | \(0.834228\pi\) | |||||||
\(182\) | −0.516136 | + | 9.52542i | −0.0382586 | + | 0.706071i | ||||
\(183\) | −4.78490 | + | 16.6738i | −0.353710 | + | 1.23256i | ||||
\(184\) | −0.845930 | − | 0.488398i | −0.0623628 | − | 0.0360052i | ||||
\(185\) | −0.122915 | − | 0.212896i | −0.00903692 | − | 0.0156524i | ||||
\(186\) | −0.511369 | − | 2.05282i | −0.0374954 | − | 0.150520i | ||||
\(187\) | 1.37793 | − | 2.38664i | 0.100764 | − | 0.174528i | ||||
\(188\) | − | 1.70847i | − | 0.124603i | ||||||
\(189\) | 13.0483 | + | 4.32932i | 0.949121 | + | 0.314912i | ||||
\(190\) | 0.385996i | 0.0280031i | ||||||||
\(191\) | 12.8955 | + | 7.44521i | 0.933084 | + | 0.538717i | 0.887786 | − | 0.460257i | \(-0.152243\pi\) |
0.0452987 | + | 0.998973i | \(0.485576\pi\) | |||||||
\(192\) | −0.418670 | − | 1.68069i | −0.0302149 | − | 0.121293i | ||||
\(193\) | 11.3018 | − | 6.52508i | 0.813519 | − | 0.469685i | −0.0346576 | − | 0.999399i | \(-0.511034\pi\) |
0.848176 | + | 0.529714i | \(0.177701\pi\) | |||||||
\(194\) | 4.42648 | − | 7.66690i | 0.317803 | − | 0.550451i | ||||
\(195\) | 0.212917 | − | 0.625655i | 0.0152473 | − | 0.0448041i | ||||
\(196\) | −6.99956 | − | 0.0780724i | −0.499969 | − | 0.00557660i | ||||
\(197\) | −8.81199 | −0.627828 | −0.313914 | − | 0.949451i | \(-0.601640\pi\) | ||||
−0.313914 | + | 0.949451i | \(0.601640\pi\) | |||||||
\(198\) | 3.19890 | − | 1.69917i | 0.227336 | − | 0.120755i | ||||
\(199\) | 13.8134 | − | 7.97517i | 0.979206 | − | 0.565345i | 0.0771758 | − | 0.997017i | \(-0.475410\pi\) |
0.902030 | + | 0.431673i | \(0.142076\pi\) | |||||||
\(200\) | −2.49440 | − | 4.32043i | −0.176381 | − | 0.305500i | ||||
\(201\) | 7.85236 | + | 8.13476i | 0.553863 | + | 0.573782i | ||||
\(202\) | −11.6838 | −0.822069 | ||||||||
\(203\) | −9.22047 | − | 16.1780i | −0.647150 | − | 1.13547i | ||||
\(204\) | 3.80000 | + | 1.09049i | 0.266053 | + | 0.0763498i | ||||
\(205\) | 0.0221004 | − | 0.0382790i | 0.00154356 | − | 0.00267352i | ||||
\(206\) | 0.999136 | − | 0.576851i | 0.0696131 | − | 0.0401911i | ||||
\(207\) | 2.92856 | + | 0.103494i | 0.203549 | + | 0.00719334i | ||||
\(208\) | −1.95221 | + | 3.03132i | −0.135361 | + | 0.210184i | ||||
\(209\) | 4.40386 | 0.304621 | ||||||||
\(210\) | 0.465394 | + | 0.136369i | 0.0321152 | + | 0.00941033i | ||||
\(211\) | 16.2666 | 1.11984 | 0.559919 | − | 0.828547i | \(-0.310832\pi\) | ||||
0.559919 | + | 0.828547i | \(0.310832\pi\) | |||||||
\(212\) | −1.77421 | − | 1.02434i | −0.121853 | − | 0.0703518i | ||||
\(213\) | −1.13897 | − | 4.57225i | −0.0780412 | − | 0.313285i | ||||
\(214\) | 10.5362 | − | 6.08311i | 0.720243 | − | 0.415833i | ||||
\(215\) | 0.449477 | + | 0.259506i | 0.0306541 | + | 0.0176982i | ||||
\(216\) | 3.47448 | + | 3.86367i | 0.236408 | + | 0.262890i | ||||
\(217\) | −2.78956 | − | 1.63136i | −0.189367 | − | 0.110744i | ||||
\(218\) | − | 7.20550i | − | 0.488018i | ||||||
\(219\) | 9.27803 | − | 8.95594i | 0.626951 | − | 0.605187i | ||||
\(220\) | 0.110657 | − | 0.0638876i | 0.00746046 | − | 0.00430730i | ||||
\(221\) | −3.76403 | − | 7.31837i | −0.253196 | − | 0.492287i | ||||
\(222\) | −2.79432 | − | 2.89481i | −0.187542 | − | 0.194287i | ||||
\(223\) | 19.4124 | 1.29995 | 0.649975 | − | 0.759955i | \(-0.274779\pi\) | ||||
0.649975 | + | 0.759955i | \(0.274779\pi\) | |||||||
\(224\) | −2.28387 | − | 1.33563i | −0.152598 | − | 0.0892407i | ||||
\(225\) | 12.6889 | + | 7.93629i | 0.845927 | + | 0.529086i | ||||
\(226\) | 11.5327 | + | 6.65841i | 0.767144 | + | 0.442911i | ||||
\(227\) | −14.8984 | + | 8.60159i | −0.988841 | + | 0.570908i | −0.904928 | − | 0.425566i | \(-0.860075\pi\) |
−0.0839133 | + | 0.996473i | \(0.526742\pi\) | |||||||
\(228\) | 1.52706 | + | 6.13017i | 0.101132 | + | 0.405980i | ||||
\(229\) | 4.77500 | − | 8.27054i | 0.315541 | − | 0.546533i | −0.664012 | − | 0.747722i | \(-0.731147\pi\) |
0.979552 | + | 0.201190i | \(0.0644808\pi\) | |||||||
\(230\) | 0.103372 | 0.00681613 | ||||||||
\(231\) | 1.55584 | − | 5.30972i | 0.102367 | − | 0.349354i | ||||
\(232\) | − | 7.03811i | − | 0.462075i | ||||||
\(233\) | 9.52198 | + | 5.49752i | 0.623806 | + | 0.360154i | 0.778349 | − | 0.627832i | \(-0.216057\pi\) |
−0.154543 | + | 0.987986i | \(0.549391\pi\) | |||||||
\(234\) | 0.906241 | − | 10.7786i | 0.0592429 | − | 0.704621i | ||||
\(235\) | 0.0904015 | + | 0.156580i | 0.00589714 | + | 0.0102142i | ||||
\(236\) | −9.04020 | − | 5.21936i | −0.588467 | − | 0.339752i | ||||
\(237\) | 16.8121 | + | 4.82459i | 1.09206 | + | 0.313391i | ||||
\(238\) | 5.24658 | − | 2.99023i | 0.340085 | − | 0.193828i | ||||
\(239\) | 15.2257 | 0.984868 | 0.492434 | − | 0.870350i | \(-0.336107\pi\) | ||||
0.492434 | + | 0.870350i | \(0.336107\pi\) | |||||||
\(240\) | 0.127302 | + | 0.131880i | 0.00821732 | + | 0.00851284i | ||||
\(241\) | 8.18626 | + | 14.1790i | 0.527323 | + | 0.913351i | 0.999493 | + | 0.0318429i | \(0.0101376\pi\) |
−0.472170 | + | 0.881508i | \(0.656529\pi\) | |||||||
\(242\) | 4.77110 | + | 8.26379i | 0.306698 | + | 0.531217i | ||||
\(243\) | −14.6428 | − | 5.34688i | −0.939334 | − | 0.343003i | ||||
\(244\) | 10.0152i | 0.641154i | ||||||||
\(245\) | 0.645635 | − | 0.363217i | 0.0412481 | − | 0.0232051i | ||||
\(246\) | 0.199548 | − | 0.695358i | 0.0127227 | − | 0.0443344i | ||||
\(247\) | 7.12050 | − | 11.0565i | 0.453067 | − | 0.703506i | ||||
\(248\) | −0.610707 | − | 1.05778i | −0.0387799 | − | 0.0671688i | ||||
\(249\) | 19.6278 | − | 4.88941i | 1.24386 | − | 0.309854i | ||||
\(250\) | 0.915465 | + | 0.528544i | 0.0578991 | + | 0.0334281i | ||||
\(251\) | −5.68832 | −0.359044 | −0.179522 | − | 0.983754i | \(-0.557455\pi\) | ||||
−0.179522 | + | 0.983754i | \(0.557455\pi\) | |||||||
\(252\) | 7.93062 | + | 0.324556i | 0.499582 | + | 0.0204451i | ||||
\(253\) | − | 1.17938i | − | 0.0741468i | ||||||
\(254\) | −6.89412 | + | 11.9410i | −0.432576 | + | 0.749243i | ||||
\(255\) | −0.405969 | + | 0.101129i | −0.0254228 | + | 0.00633296i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 7.39698 | − | 12.8119i | 0.461411 | − | 0.799187i | −0.537621 | − | 0.843187i | \(-0.680677\pi\) |
0.999032 | + | 0.0439995i | \(0.0140100\pi\) | |||||||
\(258\) | 8.16499 | + | 2.34312i | 0.508330 | + | 0.145876i | ||||
\(259\) | −6.14583 | − | 0.0342739i | −0.381883 | − | 0.00212968i | ||||
\(260\) | 0.0185198 | − | 0.381116i | 0.00114855 | − | 0.0236358i | ||||
\(261\) | 9.90478 | + | 18.6470i | 0.613090 | + | 1.15422i | ||||
\(262\) | −6.41784 | − | 11.1160i | −0.396496 | − | 0.686750i | ||||
\(263\) | −20.3349 | + | 11.7403i | −1.25390 | + | 0.723940i | −0.971882 | − | 0.235468i | \(-0.924338\pi\) |
−0.282020 | + | 0.959409i | \(0.591004\pi\) | |||||||
\(264\) | 1.50463 | − | 1.45240i | 0.0926038 | − | 0.0893890i | ||||
\(265\) | 0.216806 | 0.0133183 | ||||||||
\(266\) | 8.33023 | + | 4.87160i | 0.510759 | + | 0.298697i | ||||
\(267\) | 8.11209 | − | 28.2679i | 0.496452 | − | 1.72997i | ||||
\(268\) | 5.65318 | + | 3.26387i | 0.345323 | + | 0.199372i | ||||
\(269\) | 9.17404 | + | 15.8899i | 0.559351 | + | 0.968824i | 0.997551 | + | 0.0699465i | \(0.0222829\pi\) |
−0.438200 | + | 0.898878i | \(0.644384\pi\) | |||||||
\(270\) | −0.522875 | − | 0.170255i | −0.0318211 | − | 0.0103614i | ||||
\(271\) | 11.0400 | − | 19.1219i | 0.670634 | − | 1.16157i | −0.307091 | − | 0.951680i | \(-0.599356\pi\) |
0.977725 | − | 0.209891i | \(-0.0673110\pi\) | |||||||
\(272\) | 2.28248 | 0.138396 | ||||||||
\(273\) | −10.8151 | − | 12.4913i | −0.654562 | − | 0.756008i | ||||
\(274\) | −5.82537 | −0.351924 | ||||||||
\(275\) | 3.01172 | − | 5.21645i | 0.181614 | − | 0.314564i | ||||
\(276\) | 1.64169 | − | 0.408955i | 0.0988182 | − | 0.0246162i | ||||
\(277\) | −1.11567 | − | 1.93239i | −0.0670338 | − | 0.116106i | 0.830561 | − | 0.556928i | \(-0.188020\pi\) |
−0.897594 | + | 0.440822i | \(0.854687\pi\) | |||||||
\(278\) | −15.6665 | − | 9.04503i | −0.939612 | − | 0.542485i | ||||
\(279\) | 3.10664 | + | 1.94305i | 0.185990 | + | 0.116327i | ||||
\(280\) | 0.279988 | + | 0.00156143i | 0.0167325 | + | 9.33134e-5i | ||||
\(281\) | −23.4884 | −1.40120 | −0.700600 | − | 0.713554i | \(-0.747084\pi\) | ||||
−0.700600 | + | 0.713554i | \(0.747084\pi\) | |||||||
\(282\) | 2.05516 | + | 2.12907i | 0.122383 | + | 0.126784i | ||||
\(283\) | −4.21753 | + | 2.43499i | −0.250706 | + | 0.144745i | −0.620088 | − | 0.784533i | \(-0.712903\pi\) |
0.369381 | + | 0.929278i | \(0.379570\pi\) | |||||||
\(284\) | −1.36023 | − | 2.35599i | −0.0807148 | − | 0.139802i | ||||
\(285\) | −0.464323 | − | 0.481022i | −0.0275041 | − | 0.0284933i | ||||
\(286\) | −4.34818 | − | 0.211294i | −0.257114 | − | 0.0124941i | ||||
\(287\) | −0.547179 | − | 0.960067i | −0.0322990 | − | 0.0566710i | ||||
\(288\) | 2.54348 | + | 1.59082i | 0.149876 | + | 0.0937401i | ||||
\(289\) | 5.89514 | − | 10.2107i | 0.346773 | − | 0.600628i | ||||
\(290\) | 0.372412 | + | 0.645037i | 0.0218688 | + | 0.0378779i | ||||
\(291\) | 3.70647 | + | 14.8791i | 0.217277 | + | 0.872228i | ||||
\(292\) | 3.72258 | − | 6.44769i | 0.217847 | − | 0.377323i | ||||
\(293\) | − | 3.97126i | − | 0.232003i | −0.993249 | − | 0.116002i | \(-0.962992\pi\) | ||
0.993249 | − | 0.116002i | \(-0.0370078\pi\) | |||||||
\(294\) | 8.81667 | − | 8.32264i | 0.514198 | − | 0.485386i | ||||
\(295\) | 1.10470 | 0.0643183 | ||||||||
\(296\) | −2.01173 | − | 1.16147i | −0.116929 | − | 0.0675091i | ||||
\(297\) | −1.94245 | + | 5.96552i | −0.112713 | + | 0.346154i | ||||
\(298\) | 5.92542 | + | 10.2631i | 0.343250 | + | 0.594527i | ||||
\(299\) | −2.96098 | − | 1.90691i | −0.171238 | − | 0.110279i | ||||
\(300\) | 8.30563 | + | 2.38348i | 0.479526 | + | 0.137610i | ||||
\(301\) | 11.2732 | − | 6.42505i | 0.649778 | − | 0.370334i | ||||
\(302\) | − | 18.1421i | − | 1.04396i | ||||||
\(303\) | 14.5602 | − | 14.0547i | 0.836460 | − | 0.807422i | ||||
\(304\) | 1.82371 | + | 3.15875i | 0.104597 | + | 0.181167i | ||||
\(305\) | −0.529939 | − | 0.917880i | −0.0303442 | − | 0.0525577i | ||||
\(306\) | −6.04728 | + | 3.21215i | −0.345700 | + | 0.183627i | ||||
\(307\) | 3.58652 | 0.204694 | 0.102347 | − | 0.994749i | \(-0.467365\pi\) | ||||
0.102347 | + | 0.994749i | \(0.467365\pi\) | |||||||
\(308\) | 0.0178145 | − | 3.19441i | 0.00101508 | − | 0.182018i | ||||
\(309\) | −0.551200 | + | 1.92075i | −0.0313567 | + | 0.109267i | ||||
\(310\) | 0.111942 | + | 0.0646295i | 0.00635785 | + | 0.00367071i | ||||
\(311\) | 14.7153 | + | 25.4877i | 0.834431 | + | 1.44528i | 0.894493 | + | 0.447082i | \(0.147537\pi\) |
−0.0600623 | + | 0.998195i | \(0.519130\pi\) | |||||||
\(312\) | −1.21363 | − | 6.12594i | −0.0687085 | − | 0.346813i | ||||
\(313\) | −12.7524 | − | 7.36260i | −0.720809 | − | 0.416159i | 0.0942416 | − | 0.995549i | \(-0.469957\pi\) |
−0.815050 | + | 0.579390i | \(0.803291\pi\) | |||||||
\(314\) | − | 17.6921i | − | 0.998421i | ||||||
\(315\) | −0.744008 | + | 0.389893i | −0.0419201 | + | 0.0219680i | ||||
\(316\) | 10.0982 | 0.568069 | ||||||||
\(317\) | −13.3964 | + | 23.2033i | −0.752420 | + | 1.30323i | 0.194227 | + | 0.980957i | \(0.437780\pi\) |
−0.946647 | + | 0.322272i | \(0.895553\pi\) | |||||||
\(318\) | 3.44319 | − | 0.857718i | 0.193084 | − | 0.0480984i | ||||
\(319\) | 7.35928 | − | 4.24888i | 0.412040 | − | 0.237892i | ||||
\(320\) | 0.0916492 | + | 0.0529137i | 0.00512334 | + | 0.00295796i | ||||
\(321\) | −5.81260 | + | 20.2550i | −0.324428 | + | 1.13052i | ||||
\(322\) | 1.30464 | − | 2.23088i | 0.0727048 | − | 0.124322i | ||||
\(323\) | −8.32515 | −0.463224 | ||||||||
\(324\) | −8.97755 | − | 0.635319i | −0.498753 | − | 0.0352955i | ||||
\(325\) | −8.22701 | − | 15.9957i | −0.456352 | − | 0.887281i | ||||
\(326\) | −4.80436 | + | 2.77380i | −0.266089 | + | 0.153626i | ||||
\(327\) | 8.66767 | + | 8.97939i | 0.479323 | + | 0.496561i | ||||
\(328\) | − | 0.417669i | − | 0.0230619i | ||||||
\(329\) | 4.52012 | + | 0.0252077i | 0.249202 | + | 0.00138974i | ||||
\(330\) | −0.0610466 | + | 0.212727i | −0.00336051 | + | 0.0117102i | ||||
\(331\) | 1.52884 | + | 0.882679i | 0.0840329 | + | 0.0485164i | 0.541428 | − | 0.840747i | \(-0.317884\pi\) |
−0.457395 | + | 0.889264i | \(0.651217\pi\) | |||||||
\(332\) | 10.1138 | − | 5.83922i | 0.555068 | − | 0.320469i | ||||
\(333\) | 6.96448 | + | 0.246122i | 0.381651 | + | 0.0134874i | ||||
\(334\) | −7.97632 | − | 4.60513i | −0.436445 | − | 0.251982i | ||||
\(335\) | −0.690813 | −0.0377431 | ||||||||
\(336\) | 4.45279 | − | 1.08288i | 0.242920 | − | 0.0590760i | ||||
\(337\) | −19.9939 | −1.08913 | −0.544567 | − | 0.838717i | \(-0.683306\pi\) | ||||
−0.544567 | + | 0.838717i | \(0.683306\pi\) | |||||||
\(338\) | −7.56096 | + | 10.5751i | −0.411262 | + | 0.575207i | ||||
\(339\) | −22.3814 | + | 5.57534i | −1.21559 | + | 0.302811i | ||||
\(340\) | −0.209188 | + | 0.120775i | −0.0113448 | + | 0.00654992i | ||||
\(341\) | 0.737363 | − | 1.27715i | 0.0399304 | − | 0.0691615i | ||||
\(342\) | −9.27712 | − | 5.80238i | −0.501649 | − | 0.313757i | ||||
\(343\) | 0.309832 | − | 18.5177i | 0.0167294 | − | 0.999860i | ||||
\(344\) | 4.90433 | 0.264424 | ||||||||
\(345\) | −0.128820 | + | 0.124348i | −0.00693545 | + | 0.00669469i | ||||
\(346\) | 5.82669 | + | 10.0921i | 0.313245 | + | 0.542556i | ||||
\(347\) | −5.40323 | + | 3.11955i | −0.290060 | + | 0.167466i | −0.637969 | − | 0.770062i | \(-0.720225\pi\) |
0.347909 | + | 0.937528i | \(0.386892\pi\) | |||||||
\(348\) | 8.46631 | + | 8.77079i | 0.453842 | + | 0.470163i | ||||
\(349\) | 5.19865 | 0.278278 | 0.139139 | − | 0.990273i | \(-0.455567\pi\) | ||||
0.139139 | + | 0.990273i | \(0.455567\pi\) | |||||||
\(350\) | 11.4674 | − | 6.53571i | 0.612959 | − | 0.349349i | ||||
\(351\) | 11.8365 | + | 14.5223i | 0.631786 | + | 0.775143i | ||||
\(352\) | 0.603696 | − | 1.04563i | 0.0321771 | − | 0.0557324i | ||||
\(353\) | −21.5387 | + | 12.4354i | −1.14639 | + | 0.661869i | −0.948005 | − | 0.318255i | \(-0.896903\pi\) |
−0.198386 | + | 0.980124i | \(0.563570\pi\) | |||||||
\(354\) | 17.5443 | − | 4.37038i | 0.932466 | − | 0.232283i | ||||
\(355\) | 0.249328 | + | 0.143950i | 0.0132330 | + | 0.00764005i | ||||
\(356\) | − | 16.9792i | − | 0.899896i | ||||||
\(357\) | −2.94119 | + | 10.0376i | −0.155665 | + | 0.531247i | ||||
\(358\) | − | 17.5090i | − | 0.925378i | ||||||
\(359\) | 15.5010 | − | 26.8486i | 0.818113 | − | 1.41701i | −0.0889571 | − | 0.996035i | \(-0.528353\pi\) |
0.907071 | − | 0.420979i | \(-0.138313\pi\) | |||||||
\(360\) | −0.317284 | − | 0.0112127i | −0.0167223 | − | 0.000590960i | ||||
\(361\) | 2.84819 | + | 4.93321i | 0.149905 | + | 0.259643i | ||||
\(362\) | −11.5944 | − | 6.69403i | −0.609388 | − | 0.351831i | ||||
\(363\) | −15.8864 | − | 4.55894i | −0.833819 | − | 0.239282i | ||||
\(364\) | −7.99119 | − | 5.20970i | −0.418852 | − | 0.273062i | ||||
\(365\) | 0.787901i | 0.0412406i | ||||||||
\(366\) | −12.0475 | − | 12.4807i | −0.629731 | − | 0.652378i | ||||
\(367\) | 14.7620 | − | 8.52284i | 0.770570 | − | 0.444889i | −0.0625080 | − | 0.998044i | \(-0.519910\pi\) |
0.833078 | + | 0.553156i | \(0.186577\pi\) | |||||||
\(368\) | 0.845930 | − | 0.488398i | 0.0440972 | − | 0.0254595i | ||||
\(369\) | 0.587789 | + | 1.10659i | 0.0305991 | + | 0.0576066i | ||||
\(370\) | 0.245831 | 0.0127801 | ||||||||
\(371\) | 2.73628 | − | 4.67892i | 0.142061 | − | 0.242917i | ||||
\(372\) | 2.03348 | + | 0.583550i | 0.105431 | + | 0.0302557i | ||||
\(373\) | −10.9216 | + | 18.9168i | −0.565501 | + | 0.979476i | 0.431502 | + | 0.902112i | \(0.357984\pi\) |
−0.997003 | + | 0.0773640i | \(0.975350\pi\) | |||||||
\(374\) | 1.37793 | + | 2.38664i | 0.0712508 | + | 0.123410i | ||||
\(375\) | −1.77664 | + | 0.442571i | −0.0917451 | + | 0.0228542i | ||||
\(376\) | 1.47958 | + | 0.854236i | 0.0763035 | + | 0.0440538i | ||||
\(377\) | 1.23167 | − | 25.3464i | 0.0634344 | − | 1.30540i | ||||
\(378\) | −10.2734 | + | 9.13546i | −0.528408 | + | 0.469878i | ||||
\(379\) | 29.5625i | 1.51852i | 0.650786 | + | 0.759261i | \(0.274440\pi\) | ||||
−0.650786 | + | 0.759261i | \(0.725560\pi\) | |||||||
\(380\) | −0.334282 | − | 0.192998i | −0.0171483 | − | 0.00990059i | ||||
\(381\) | −5.77272 | − | 23.1738i | −0.295745 | − | 1.18723i | ||||
\(382\) | −12.8955 | + | 7.44521i | −0.659790 | + | 0.380930i | ||||
\(383\) | −13.3338 | − | 7.69829i | −0.681327 | − | 0.393364i | 0.119028 | − | 0.992891i | \(-0.462022\pi\) |
−0.800355 | + | 0.599527i | \(0.795356\pi\) | |||||||
\(384\) | 1.66485 | + | 0.477766i | 0.0849592 | + | 0.0243809i | ||||
\(385\) | 0.167395 | + | 0.293708i | 0.00853125 | + | 0.0149687i | ||||
\(386\) | 13.0502i | 0.664235i | ||||||||
\(387\) | −12.9937 | + | 6.90189i | −0.660506 | + | 0.350843i | ||||
\(388\) | 4.42648 | + | 7.66690i | 0.224721 | + | 0.389228i | ||||
\(389\) | −9.83397 | + | 5.67765i | −0.498602 | + | 0.287868i | −0.728136 | − | 0.685433i | \(-0.759613\pi\) |
0.229534 | + | 0.973301i | \(0.426280\pi\) | |||||||
\(390\) | 0.435374 | + | 0.497219i | 0.0220460 | + | 0.0251777i | ||||
\(391\) | 2.22952i | 0.112752i | ||||||||
\(392\) | 3.56739 | − | 6.02276i | 0.180181 | − | 0.304196i | ||||
\(393\) | 21.3695 | + | 6.13245i | 1.07795 | + | 0.309341i | ||||
\(394\) | 4.40599 | − | 7.63140i | 0.221971 | − | 0.384465i | ||||
\(395\) | −0.925494 | + | 0.534334i | −0.0465666 | + | 0.0268853i | ||||
\(396\) | −0.127926 | + | 3.61992i | −0.00642854 | + | 0.181908i | ||||
\(397\) | −12.6212 | + | 21.8606i | −0.633440 | + | 1.09715i | 0.353404 | + | 0.935471i | \(0.385024\pi\) |
−0.986843 | + | 0.161679i | \(0.948309\pi\) | |||||||
\(398\) | 15.9503i | 0.799519i | ||||||||
\(399\) | −16.2412 | + | 3.94971i | −0.813076 | + | 0.197733i | ||||
\(400\) | 4.98880 | 0.249440 | ||||||||
\(401\) | 17.2752 | − | 29.9215i | 0.862681 | − | 1.49421i | −0.00665018 | − | 0.999978i | \(-0.502117\pi\) |
0.869331 | − | 0.494230i | \(-0.164550\pi\) | |||||||
\(402\) | −10.9711 | + | 2.73296i | −0.547188 | + | 0.136308i | ||||
\(403\) | −2.01423 | − | 3.91624i | −0.100336 | − | 0.195082i | ||||
\(404\) | 5.84190 | − | 10.1185i | 0.290645 | − | 0.503412i | ||||
\(405\) | 0.856402 | − | 0.416809i | 0.0425550 | − | 0.0207114i | ||||
\(406\) | 18.6208 | + | 0.103844i | 0.924135 | + | 0.00515369i | ||||
\(407\) | − | 2.80470i | − | 0.139024i | ||||||
\(408\) | −2.84439 | + | 2.74565i | −0.140818 | + | 0.135930i | ||||
\(409\) | −4.95129 | − | 8.57588i | −0.244825 | − | 0.424050i | 0.717257 | − | 0.696809i | \(-0.245397\pi\) |
−0.962083 | + | 0.272759i | \(0.912064\pi\) | |||||||
\(410\) | 0.0221004 | + | 0.0382790i | 0.00109146 | + | 0.00189047i | ||||
\(411\) | 7.25949 | − | 7.00747i | 0.358084 | − | 0.345653i | ||||
\(412\) | 1.15370i | 0.0568388i | ||||||||
\(413\) | 13.9423 | − | 23.8407i | 0.686056 | − | 1.17313i | ||||
\(414\) | −1.55391 | + | 2.48446i | −0.0763705 | + | 0.122105i | ||||
\(415\) | −0.617949 | + | 1.07032i | −0.0303339 | + | 0.0525399i | ||||
\(416\) | −1.64910 | − | 3.20632i | −0.0808536 | − | 0.157203i | ||||
\(417\) | 30.4038 | − | 7.57376i | 1.48888 | − | 0.370889i | ||||
\(418\) | −2.20193 | + | 3.81385i | −0.107700 | + | 0.186542i | ||||
\(419\) | −26.9663 | −1.31739 | −0.658694 | − | 0.752411i | \(-0.728891\pi\) | ||||
−0.658694 | + | 0.752411i | \(0.728891\pi\) | |||||||
\(420\) | −0.350796 | + | 0.334859i | −0.0171171 | + | 0.0163394i | ||||
\(421\) | 10.6473i | 0.518917i | 0.965754 | + | 0.259458i | \(0.0835440\pi\) | ||||
−0.965754 | + | 0.259458i | \(0.916456\pi\) | |||||||
\(422\) | −8.13330 | + | 14.0873i | −0.395923 | + | 0.685758i | ||||
\(423\) | −5.12222 | − | 0.181017i | −0.249051 | − | 0.00880135i | ||||
\(424\) | 1.77421 | − | 1.02434i | 0.0861630 | − | 0.0497463i | ||||
\(425\) | −5.69342 | + | 9.86130i | −0.276172 | + | 0.478343i | ||||
\(426\) | 4.52917 | + | 1.29974i | 0.219439 | + | 0.0629728i | ||||
\(427\) | −26.4972 | − | 0.147769i | −1.28229 | − | 0.00715104i | ||||
\(428\) | 12.1662i | 0.588076i | ||||||||
\(429\) | 5.67281 | − | 4.96722i | 0.273886 | − | 0.239820i | ||||
\(430\) | −0.449477 | + | 0.259506i | −0.0216757 | + | 0.0125145i | ||||
\(431\) | 11.0130 | + | 19.0751i | 0.530478 | + | 0.918816i | 0.999368 | + | 0.0355586i | \(0.0113211\pi\) |
−0.468889 | + | 0.883257i | \(0.655346\pi\) | |||||||
\(432\) | −5.08328 | + | 1.07715i | −0.244569 | + | 0.0518245i | ||||
\(433\) | − | 35.6522i | − | 1.71334i | −0.515868 | − | 0.856668i | \(-0.672530\pi\) | ||
0.515868 | − | 0.856668i | \(-0.327470\pi\) | |||||||
\(434\) | 2.80758 | − | 1.60015i | 0.134768 | − | 0.0768095i | ||||
\(435\) | −1.24002 | − | 0.355852i | −0.0594546 | − | 0.0170618i | ||||
\(436\) | 6.24015 | + | 3.60275i | 0.298849 | + | 0.172541i | ||||
\(437\) | −3.08546 | + | 1.78139i | −0.147597 | + | 0.0852154i | ||||
\(438\) | 3.11706 | + | 12.5130i | 0.148939 | + | 0.597894i | ||||
\(439\) | −8.95324 | − | 5.16916i | −0.427315 | − | 0.246710i | 0.270887 | − | 0.962611i | \(-0.412683\pi\) |
−0.698202 | + | 0.715901i | \(0.746016\pi\) | |||||||
\(440\) | 0.127775i | 0.00609144i | ||||||||
\(441\) | −0.975693 | + | 20.9773i | −0.0464616 | + | 0.998920i | ||||
\(442\) | 8.21991 | + | 0.399436i | 0.390981 | + | 0.0189992i | ||||
\(443\) | −33.8232 | − | 19.5279i | −1.60699 | − | 0.927796i | −0.990039 | − | 0.140795i | \(-0.955034\pi\) |
−0.616952 | − | 0.787001i | \(-0.711633\pi\) | |||||||
\(444\) | 3.90414 | − | 0.972545i | 0.185282 | − | 0.0461549i | ||||
\(445\) | 0.898432 | + | 1.55613i | 0.0425898 | + | 0.0737676i | ||||
\(446\) | −9.70620 | + | 16.8116i | −0.459602 | + | 0.796054i | ||||
\(447\) | −19.7299 | − | 5.66193i | −0.933193 | − | 0.267800i | ||||
\(448\) | 2.29863 | − | 1.31008i | 0.108600 | − | 0.0618953i | ||||
\(449\) | −14.4259 | −0.680801 | −0.340400 | − | 0.940281i | \(-0.610563\pi\) | ||||
−0.340400 | + | 0.940281i | \(0.610563\pi\) | |||||||
\(450\) | −13.2175 | + | 7.02077i | −0.623078 | + | 0.330962i | ||||
\(451\) | 0.436729 | − | 0.252145i | 0.0205647 | − | 0.0118731i | ||||
\(452\) | −11.5327 | + | 6.65841i | −0.542453 | + | 0.313185i | ||||
\(453\) | 21.8236 | + | 22.6084i | 1.02536 | + | 1.06224i | ||||
\(454\) | − | 17.2032i | − | 0.807385i | ||||||
\(455\) | 1.00805 | + | 0.0546213i | 0.0472581 | + | 0.00256069i | ||||
\(456\) | −6.07241 | − | 1.74261i | −0.284367 | − | 0.0816052i | ||||
\(457\) | −35.3848 | − | 20.4294i | −1.65523 | − | 0.955647i | −0.974872 | − | 0.222766i | \(-0.928491\pi\) |
−0.680357 | − | 0.732881i | \(-0.738175\pi\) | |||||||
\(458\) | 4.77500 | + | 8.27054i | 0.223121 | + | 0.386457i | ||||
\(459\) | 3.67206 | − | 11.2773i | 0.171397 | − | 0.526381i | ||||
\(460\) | −0.0516859 | + | 0.0895226i | −0.00240987 | + | 0.00417401i | ||||
\(461\) | − | 12.6945i | − | 0.591242i | −0.955305 | − | 0.295621i | \(-0.904474\pi\) | ||
0.955305 | − | 0.295621i | \(-0.0955265\pi\) | |||||||
\(462\) | 3.82043 | + | 4.00225i | 0.177742 | + | 0.186202i | ||||
\(463\) | 30.2556i | 1.40610i | 0.711141 | + | 0.703049i | \(0.248179\pi\) | ||||
−0.711141 | + | 0.703049i | \(0.751821\pi\) | |||||||
\(464\) | 6.09518 | + | 3.51906i | 0.282962 | + | 0.163368i | ||||
\(465\) | −0.217244 | + | 0.0541168i | −0.0100745 | + | 0.00250961i | ||||
\(466\) | −9.52198 | + | 5.49752i | −0.441097 | + | 0.254668i | ||||
\(467\) | 7.65871 | − | 13.2653i | 0.354403 | − | 0.613844i | −0.632613 | − | 0.774468i | \(-0.718017\pi\) |
0.987016 | + | 0.160624i | \(0.0513508\pi\) | |||||||
\(468\) | 8.88144 | + | 6.17414i | 0.410545 | + | 0.285400i | ||||
\(469\) | −8.71865 | + | 14.9085i | −0.402590 | + | 0.688412i | ||||
\(470\) | −0.180803 | −0.00833982 | ||||||||
\(471\) | 21.2822 | + | 22.0476i | 0.980632 | + | 1.01590i | ||||
\(472\) | 9.04020 | − | 5.21936i | 0.416109 | − | 0.240241i | ||||
\(473\) | 2.96072 | + | 5.12812i | 0.136134 | + | 0.235791i | ||||
\(474\) | −12.5843 | + | 12.1474i | −0.578014 | + | 0.557948i | ||||
\(475\) | −18.1962 | −0.834900 | ||||||||
\(476\) | −0.0336769 | + | 6.03879i | −0.00154358 | + | 0.276787i | ||||
\(477\) | −3.25908 | + | 5.21076i | −0.149223 | + | 0.238585i | ||||
\(478\) | −7.61285 | + | 13.1858i | −0.348203 | + | 0.603106i | ||||
\(479\) | −36.8694 | + | 21.2866i | −1.68461 | + | 0.972608i | −0.726078 | + | 0.687612i | \(0.758659\pi\) |
−0.958529 | + | 0.284996i | \(0.908008\pi\) | |||||||
\(480\) | −0.177863 | + | 0.0443067i | −0.00811829 | + | 0.00202231i | ||||
\(481\) | −7.04158 | − | 4.53486i | −0.321068 | − | 0.206772i | ||||
\(482\) | −16.3725 | −0.745748 | ||||||||
\(483\) | 1.05775 | + | 4.34947i | 0.0481295 | + | 0.197908i | ||||
\(484\) | −9.54220 | −0.433737 | ||||||||
\(485\) | −0.811367 | − | 0.468443i | −0.0368423 | − | 0.0212709i | ||||
\(486\) | 11.9519 | − | 10.0076i | 0.542150 | − | 0.453953i | ||||
\(487\) | −4.29100 | + | 2.47741i | −0.194444 | + | 0.112262i | −0.594061 | − | 0.804420i | \(-0.702476\pi\) |
0.399617 | + | 0.916682i | \(0.369143\pi\) | |||||||
\(488\) | −8.67338 | − | 5.00758i | −0.392625 | − | 0.226682i | ||||
\(489\) | 2.65045 | − | 9.23594i | 0.119858 | − | 0.417664i | ||||
\(490\) | −0.00826220 | + | 0.740745i | −0.000373248 | + | 0.0334635i | ||||
\(491\) | − | 36.3557i | − | 1.64071i | −0.571853 | − | 0.820356i | \(-0.693775\pi\) | ||
0.571853 | − | 0.820356i | \(-0.306225\pi\) | |||||||
\(492\) | 0.502424 | + | 0.520493i | 0.0226510 | + | 0.0234656i | ||||
\(493\) | −13.9121 | + | 8.03218i | −0.626572 | + | 0.361751i | ||||
\(494\) | 6.01493 | + | 11.6948i | 0.270625 | + | 0.526172i | ||||
\(495\) | −0.179819 | − | 0.338532i | −0.00808225 | − | 0.0152159i | ||||
\(496\) | 1.22141 | 0.0548431 | ||||||||
\(497\) | 6.25333 | − | 3.56401i | 0.280500 | − | 0.159868i | ||||
\(498\) | −5.57956 | + | 19.4429i | −0.250026 | + | 0.871257i | ||||
\(499\) | 22.8436 | + | 13.1887i | 1.02262 | + | 0.590409i | 0.914861 | − | 0.403769i | \(-0.132300\pi\) |
0.107757 | + | 0.994177i | \(0.465633\pi\) | |||||||
\(500\) | −0.915465 | + | 0.528544i | −0.0409409 | + | 0.0236372i | ||||
\(501\) | 15.4796 | − | 3.85606i | 0.691577 | − | 0.172276i | ||||
\(502\) | 2.84416 | − | 4.92623i | 0.126941 | − | 0.219868i | ||||
\(503\) | 33.8590 | 1.50970 | 0.754849 | − | 0.655898i | \(-0.227710\pi\) | ||||
0.754849 | + | 0.655898i | \(0.227710\pi\) | |||||||
\(504\) | −4.24638 | + | 6.70584i | −0.189149 | + | 0.298702i | ||||
\(505\) | 1.23647i | 0.0550220i | ||||||||
\(506\) | 1.02137 | + | 0.589688i | 0.0454054 | + | 0.0262148i | ||||
\(507\) | −3.29862 | − | 22.2737i | −0.146497 | − | 0.989211i | ||||
\(508\) | −6.89412 | − | 11.9410i | −0.305877 | − | 0.529795i | ||||
\(509\) | 34.0447 | + | 19.6557i | 1.50901 | + | 0.871225i | 0.999945 | + | 0.0104951i | \(0.00334074\pi\) |
0.509061 | + | 0.860730i | \(0.329993\pi\) | |||||||
\(510\) | 0.115404 | − | 0.402144i | 0.00511017 | − | 0.0178072i | ||||
\(511\) | 17.0038 | + | 9.94399i | 0.752204 | + | 0.439896i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 18.5408 | − | 3.92882i | 0.818597 | − | 0.173461i | ||||
\(514\) | 7.39698 | + | 12.8119i | 0.326267 | + | 0.565111i | ||||
\(515\) | −0.0610466 | − | 0.105736i | −0.00269004 | − | 0.00465928i | ||||
\(516\) | −6.11170 | + | 5.89953i | −0.269052 | + | 0.259712i | ||||
\(517\) | 2.06280i | 0.0907216i | ||||||||
\(518\) | 3.10260 | − | 5.30531i | 0.136320 | − | 0.233102i | ||||
\(519\) | −19.4012 | − | 5.56759i | −0.851617 | − | 0.244390i | ||||
\(520\) | 0.320796 | + | 0.206597i | 0.0140679 | + | 0.00905987i | ||||
\(521\) | −8.81970 | − | 15.2762i | −0.386398 | − | 0.669261i | 0.605564 | − | 0.795797i | \(-0.292948\pi\) |
−0.991962 | + | 0.126535i | \(0.959614\pi\) | |||||||
\(522\) | −21.1012 | − | 0.745706i | −0.923573 | − | 0.0326387i | ||||
\(523\) | 17.8468 | + | 10.3039i | 0.780387 | + | 0.450557i | 0.836567 | − | 0.547864i | \(-0.184559\pi\) |
−0.0561804 | + | 0.998421i | \(0.517892\pi\) | |||||||
\(524\) | 12.8357 | 0.560729 | ||||||||
\(525\) | −6.42854 | + | 21.9391i | −0.280565 | + | 0.957501i | ||||
\(526\) | − | 23.4807i | − | 1.02381i | ||||||
\(527\) | −1.39393 | + | 2.41435i | −0.0607204 | + | 0.105171i | ||||
\(528\) | 0.505498 | + | 2.02925i | 0.0219990 | + | 0.0883118i | ||||
\(529\) | −11.0229 | − | 19.0923i | −0.479258 | − | 0.830099i | ||||
\(530\) | −0.108403 | + | 0.187759i | −0.00470872 | + | 0.00815575i | ||||
\(531\) | −16.6062 | + | 26.5507i | −0.720646 | + | 1.15220i | ||||
\(532\) | −8.38405 | + | 4.77839i | −0.363495 | + | 0.207170i | ||||
\(533\) | 0.0730924 | − | 1.50415i | 0.00316598 | − | 0.0651521i | ||||
\(534\) | 20.4247 | + | 21.1592i | 0.883862 | + | 0.915649i | ||||
\(535\) | −0.643759 | − | 1.11502i | −0.0278321 | − | 0.0482067i | ||||
\(536\) | −5.65318 | + | 3.26387i | −0.244180 | + | 0.140978i | ||||
\(537\) | 21.0619 | + | 21.8194i | 0.908890 | + | 0.941577i | ||||
\(538\) | −18.3481 | −0.791042 | ||||||||
\(539\) | 8.45122 | + | 0.0942640i | 0.364020 | + | 0.00406024i | ||||
\(540\) | 0.408882 | − | 0.367695i | 0.0175955 | − | 0.0158231i | ||||
\(541\) | −17.1036 | − | 9.87474i | −0.735339 | − | 0.424548i | 0.0850330 | − | 0.996378i | \(-0.472900\pi\) |
−0.820372 | + | 0.571830i | \(0.806234\pi\) | |||||||
\(542\) | 11.0400 | + | 19.1219i | 0.474210 | + | 0.821355i | ||||
\(543\) | 22.5012 | − | 5.60518i | 0.965618 | − | 0.240541i | ||||
\(544\) | −1.14124 | + | 1.97669i | −0.0489303 | + | 0.0847498i | ||||
\(545\) | −0.762539 | −0.0326636 | ||||||||
\(546\) | 16.2254 | − | 3.12054i | 0.694381 | − | 0.133547i | ||||
\(547\) | −25.0148 | −1.06956 | −0.534778 | − | 0.844992i | \(-0.679605\pi\) | ||||
−0.534778 | + | 0.844992i | \(0.679605\pi\) | |||||||
\(548\) | 2.91269 | − | 5.04492i | 0.124424 | − | 0.215508i | ||||
\(549\) | 30.0267 | + | 1.06113i | 1.28151 | + | 0.0452880i | ||||
\(550\) | 3.01172 | + | 5.21645i | 0.128420 | + | 0.222430i | ||||
\(551\) | −22.2316 | − | 12.8354i | −0.947100 | − | 0.546808i | ||||
\(552\) | −0.466680 | + | 1.62622i | −0.0198632 | + | 0.0692167i | ||||
\(553\) | −0.148995 | + | 26.7170i | −0.00633589 | + | 1.13612i | ||||
\(554\) | 2.23133 | 0.0948002 | ||||||||
\(555\) | −0.306350 | + | 0.295715i | −0.0130039 | + | 0.0125524i | ||||
\(556\) | 15.6665 | − | 9.04503i | 0.664406 | − | 0.383595i | ||||
\(557\) | 4.88652 | + | 8.46370i | 0.207049 | + | 0.358619i | 0.950783 | − | 0.309856i | \(-0.100281\pi\) |
−0.743735 | + | 0.668475i | \(0.766948\pi\) | |||||||
\(558\) | −3.23605 | + | 1.71890i | −0.136993 | + | 0.0727670i | ||||
\(559\) | 17.6620 | + | 0.858260i | 0.747021 | + | 0.0363005i | ||||
\(560\) | −0.141346 | + | 0.241696i | −0.00597298 | + | 0.0102135i | ||||
\(561\) | −4.58809 | − | 1.31665i | −0.193709 | − | 0.0555891i | ||||
\(562\) | 11.7442 | − | 20.3416i | 0.495399 | − | 0.858057i | ||||
\(563\) | −0.418795 | − | 0.725375i | −0.0176501 | − | 0.0305709i | 0.857065 | − | 0.515208i | \(-0.172285\pi\) |
−0.874716 | + | 0.484637i | \(0.838952\pi\) | |||||||
\(564\) | −2.87141 | + | 0.715285i | −0.120908 | + | 0.0301189i | ||||
\(565\) | 0.704642 | − | 1.22048i | 0.0296445 | − | 0.0513458i | ||||
\(566\) | − | 4.86999i | − | 0.204701i | ||||||
\(567\) | 1.81333 | − | 23.7426i | 0.0761527 | − | 0.997096i | ||||
\(568\) | 2.72046 | 0.114148 | ||||||||
\(569\) | −23.1014 | − | 13.3376i | −0.968463 | − | 0.559142i | −0.0696956 | − | 0.997568i | \(-0.522203\pi\) |
−0.898767 | + | 0.438426i | \(0.855536\pi\) | |||||||
\(570\) | 0.648739 | − | 0.161605i | 0.0271727 | − | 0.00676888i | ||||
\(571\) | 11.7217 | + | 20.3025i | 0.490536 | + | 0.849633i | 0.999941 | − | 0.0108941i | \(-0.00346775\pi\) |
−0.509405 | + | 0.860527i | \(0.670134\pi\) | |||||||
\(572\) | 2.35708 | − | 3.65999i | 0.0985544 | − | 0.153032i | ||||
\(573\) | 7.11414 | − | 24.7904i | 0.297197 | − | 1.03563i | ||||
\(574\) | 1.10503 | + | 0.00616251i | 0.0461231 | + | 0.000257218i | ||||
\(575\) | 4.87304i | 0.203220i | ||||||||
\(576\) | −2.64943 | + | 1.40731i | −0.110393 | + | 0.0586378i | ||||
\(577\) | −2.28855 | − | 3.96389i | −0.0952736 | − | 0.165019i | 0.814449 | − | 0.580235i | \(-0.197039\pi\) |
−0.909723 | + | 0.415216i | \(0.863706\pi\) | |||||||
\(578\) | 5.89514 | + | 10.2107i | 0.245205 | + | 0.424708i | ||||
\(579\) | −15.6983 | − | 16.2629i | −0.652400 | − | 0.675863i | ||||
\(580\) | −0.744825 | −0.0309272 | ||||||||
\(581\) | 15.2997 | + | 26.8444i | 0.634737 | + | 1.11369i | ||||
\(582\) | −14.7389 | − | 4.22965i | −0.610947 | − | 0.175325i | ||||
\(583\) | 2.14216 | + | 1.23678i | 0.0887193 | + | 0.0512221i | ||||
\(584\) | 3.72258 | + | 6.44769i | 0.154041 | + | 0.266807i | ||||
\(585\) | −1.14067 | − | 0.0959051i | −0.0471610 | − | 0.00396519i | ||||
\(586\) | 3.43921 | + | 1.98563i | 0.142072 | + | 0.0820256i | ||||
\(587\) | 36.9891i | 1.52670i | 0.645982 | + | 0.763352i | \(0.276448\pi\) | ||||
−0.645982 | + | 0.763352i | \(0.723552\pi\) | |||||||
\(588\) | 2.79929 | + | 11.7968i | 0.115441 | + | 0.486491i | ||||
\(589\) | −4.45500 | −0.183565 | ||||||||
\(590\) | −0.552351 | + | 0.956700i | −0.0227399 | + | 0.0393867i | ||||
\(591\) | 3.68931 | + | 14.8102i | 0.151758 | + | 0.609211i | ||||
\(592\) | 2.01173 | − | 1.16147i | 0.0826814 | − | 0.0477362i | ||||
\(593\) | 24.0004 | + | 13.8566i | 0.985579 | + | 0.569024i | 0.903950 | − | 0.427639i | \(-0.140654\pi\) |
0.0816289 | + | 0.996663i | \(0.473988\pi\) | |||||||
\(594\) | −4.19506 | − | 4.66497i | −0.172125 | − | 0.191406i | ||||
\(595\) | −0.316448 | − | 0.555232i | −0.0129731 | − | 0.0227623i | ||||
\(596\) | −11.8508 | −0.485429 | ||||||||
\(597\) | −19.1870 | − | 19.8771i | −0.785273 | − | 0.813515i | ||||
\(598\) | 3.13192 | − | 1.61083i | 0.128074 | − | 0.0658718i | ||||
\(599\) | 10.8738 | − | 6.27799i | 0.444291 | − | 0.256512i | −0.261125 | − | 0.965305i | \(-0.584093\pi\) |
0.705416 | + | 0.708793i | \(0.250760\pi\) | |||||||
\(600\) | −6.21697 | + | 6.00114i | −0.253807 | + | 0.244996i | ||||
\(601\) | − | 10.7277i | − | 0.437594i | −0.975770 | − | 0.218797i | \(-0.929787\pi\) | ||
0.975770 | − | 0.218797i | \(-0.0702132\pi\) | |||||||
\(602\) | −0.0723610 | + | 12.9754i | −0.00294922 | + | 0.528839i | ||||
\(603\) | 10.3845 | − | 16.6032i | 0.422888 | − | 0.676133i | ||||
\(604\) | 15.7115 | + | 9.07106i | 0.639293 | + | 0.369096i | ||||
\(605\) | 0.874535 | − | 0.504913i | 0.0355549 | − | 0.0205276i | ||||
\(606\) | 4.89165 | + | 19.6368i | 0.198710 | + | 0.797692i | ||||
\(607\) | 27.0857 | + | 15.6379i | 1.09937 | + | 0.634724i | 0.936057 | − | 0.351849i | \(-0.114447\pi\) |
0.163318 | + | 0.986574i | \(0.447780\pi\) | |||||||
\(608\) | −3.64741 | −0.147922 | ||||||||
\(609\) | −23.3299 | + | 22.2700i | −0.945374 | + | 0.902425i | ||||
\(610\) | 1.05988 | 0.0429132 | ||||||||
\(611\) | 5.17892 | + | 3.33529i | 0.209517 | + | 0.134931i | ||||
\(612\) | 0.241835 | − | 6.84317i | 0.00977560 | − | 0.276619i | ||||
\(613\) | −10.8577 | + | 6.26872i | −0.438540 | + | 0.253191i | −0.702978 | − | 0.711212i | \(-0.748147\pi\) |
0.264438 | + | 0.964403i | \(0.414813\pi\) | |||||||
\(614\) | −1.79326 | + | 3.10602i | −0.0723702 | + | 0.125349i | ||||
\(615\) | −0.0735879 | − | 0.0211177i | −0.00296735 | − | 0.000851546i | ||||
\(616\) | 2.75753 | + | 1.61263i | 0.111104 | + | 0.0649748i | ||||
\(617\) | −7.90025 | −0.318052 | −0.159026 | − | 0.987274i | \(-0.550835\pi\) | ||||
−0.159026 | + | 0.987274i | \(0.550835\pi\) | |||||||
\(618\) | −1.38782 | − | 1.43773i | −0.0558261 | − | 0.0578338i | ||||
\(619\) | 5.53340 | + | 9.58414i | 0.222406 | + | 0.385219i | 0.955538 | − | 0.294868i | \(-0.0952755\pi\) |
−0.733132 | + | 0.680086i | \(0.761942\pi\) | |||||||
\(620\) | −0.111942 | + | 0.0646295i | −0.00449568 | + | 0.00259558i | ||||
\(621\) | −1.05216 | − | 4.96533i | −0.0422216 | − | 0.199252i | ||||
\(622\) | −29.4307 | −1.18006 | ||||||||
\(623\) | 44.9221 | + | 0.250520i | 1.79976 | + | 0.0100369i | ||||
\(624\) | 5.91203 | + | 2.01193i | 0.236671 | + | 0.0805417i | ||||
\(625\) | −12.4161 | + | 21.5053i | −0.496643 | + | 0.860210i | ||||
\(626\) | 12.7524 | − | 7.36260i | 0.509689 | − | 0.294269i | ||||
\(627\) | −1.84376 | − | 7.40152i | −0.0736327 | − | 0.295588i | ||||
\(628\) | 15.3218 | + | 8.84604i | 0.611406 | + | 0.352995i | ||||
\(629\) | 5.30207i | 0.211407i | ||||||||
\(630\) | 0.0343469 | − | 0.839276i | 0.00136841 | − | 0.0334376i | ||||
\(631\) | − | 18.1982i | − | 0.724461i | −0.932089 | − | 0.362230i | \(-0.882015\pi\) | ||
0.932089 | − | 0.362230i | \(-0.117985\pi\) | |||||||
\(632\) | −5.04911 | + | 8.74532i | −0.200843 | + | 0.347870i | ||||
\(633\) | −6.81033 | − | 27.3391i | −0.270686 | − | 1.08663i | ||||
\(634\) | −13.3964 | − | 23.2033i | −0.532041 | − | 0.921522i | ||||
\(635\) | 1.26368 | + | 0.729587i | 0.0501477 | + | 0.0289528i | ||||
\(636\) | −0.978788 | + | 3.41075i | −0.0388115 | + | 0.135245i | ||||
\(637\) | 13.9013 | − | 21.0655i | 0.550788 | − | 0.834645i | ||||
\(638\) | 8.49776i | 0.336430i | ||||||||
\(639\) | −7.20767 | + | 3.82852i | −0.285131 | + | 0.151454i | ||||
\(640\) | −0.0916492 | + | 0.0529137i | −0.00362275 | + | 0.00209160i | ||||
\(641\) | 5.02205 | − | 2.89948i | 0.198359 | − | 0.114523i | −0.397531 | − | 0.917589i | \(-0.630133\pi\) |
0.595890 | + | 0.803066i | \(0.296800\pi\) | |||||||
\(642\) | −14.6350 | − | 15.1613i | −0.577598 | − | 0.598371i | ||||
\(643\) | −17.1073 | −0.674646 | −0.337323 | − | 0.941389i | \(-0.609521\pi\) | ||||
−0.337323 | + | 0.941389i | \(0.609521\pi\) | |||||||
\(644\) | 1.27968 | + | 2.24529i | 0.0504264 | + | 0.0884769i | ||||
\(645\) | 0.247966 | − | 0.864079i | 0.00976366 | − | 0.0340231i | ||||
\(646\) | 4.16258 | − | 7.20979i | 0.163774 | − | 0.283666i | ||||
\(647\) | 6.64633 | + | 11.5118i | 0.261294 | + | 0.452575i | 0.966586 | − | 0.256342i | \(-0.0825174\pi\) |
−0.705292 | + | 0.708917i | \(0.749184\pi\) | |||||||
\(648\) | 5.03898 | − | 7.45713i | 0.197950 | − | 0.292944i | ||||
\(649\) | 10.9151 | + | 6.30182i | 0.428454 | + | 0.247368i | ||||
\(650\) | 17.9662 | + | 0.873043i | 0.704691 | + | 0.0342436i | ||||
\(651\) | −1.57391 | + | 5.37138i | −0.0616863 | + | 0.210521i | ||||
\(652\) | − | 5.54760i | − | 0.217261i | ||||||
\(653\) | −20.2462 | − | 11.6891i | −0.792295 | − | 0.457432i | 0.0484750 | − | 0.998824i | \(-0.484564\pi\) |
−0.840770 | + | 0.541393i | \(0.817897\pi\) | |||||||
\(654\) | −12.1102 | + | 3.01673i | −0.473547 | + | 0.117963i | ||||
\(655\) | −1.17638 | + | 0.679183i | −0.0459650 | + | 0.0265379i | ||||
\(656\) | 0.361712 | + | 0.208835i | 0.0141225 | + | 0.00815362i | ||||
\(657\) | −18.9366 | − | 11.8439i | −0.738787 | − | 0.462075i | ||||
\(658\) | −2.28189 | + | 3.90193i | −0.0889574 | + | 0.152113i | ||||
\(659\) | 1.60689i | 0.0625954i | 0.999510 | + | 0.0312977i | \(0.00996400\pi\) | ||||
−0.999510 | + | 0.0312977i | \(0.990036\pi\) | |||||||
\(660\) | −0.153704 | − | 0.159231i | −0.00598291 | − | 0.00619807i | ||||
\(661\) | 3.91663 | + | 6.78381i | 0.152339 | + | 0.263860i | 0.932087 | − | 0.362234i | \(-0.117986\pi\) |
−0.779748 | + | 0.626094i | \(0.784653\pi\) | |||||||
\(662\) | −1.52884 | + | 0.882679i | −0.0594202 | + | 0.0343063i | ||||
\(663\) | −10.7240 | + | 9.39014i | −0.416486 | + | 0.364683i | ||||
\(664\) | 11.6784i | 0.453211i | ||||||||
\(665\) | 0.515549 | − | 0.881567i | 0.0199921 | − | 0.0341857i | ||||
\(666\) | −3.69539 | + | 5.90835i | −0.143193 | + | 0.228944i | ||||
\(667\) | −3.43740 | + | 5.95375i | −0.133097 | + | 0.230530i | ||||
\(668\) | 7.97632 | − | 4.60513i | 0.308613 | − | 0.178178i | ||||
\(669\) | −8.12738 | − | 32.6262i | −0.314223 | − | 1.26140i | ||||
\(670\) | 0.345406 | − | 0.598261i | 0.0133442 | − | 0.0231129i | ||||
\(671\) | − | 12.0922i | − | 0.466815i | ||||||
\(672\) | −1.28859 | + | 4.39767i | −0.0497086 | + | 0.169644i | ||||
\(673\) | −26.3985 | −1.01759 | −0.508793 | − | 0.860889i | \(-0.669908\pi\) | ||||
−0.508793 | + | 0.860889i | \(0.669908\pi\) | |||||||
\(674\) | 9.99693 | − | 17.3152i | 0.385067 | − | 0.666956i | ||||
\(675\) | 8.02598 | − | 24.6488i | 0.308920 | − | 0.948733i | ||||
\(676\) | −5.37778 | − | 11.8355i | −0.206838 | − | 0.455212i | ||||
\(677\) | −9.98440 | + | 17.2935i | −0.383732 | + | 0.664643i | −0.991592 | − | 0.129401i | \(-0.958695\pi\) |
0.607861 | + | 0.794044i | \(0.292028\pi\) | |||||||
\(678\) | 6.36232 | − | 22.1706i | 0.244344 | − | 0.851455i | ||||
\(679\) | −20.3497 | + | 11.5981i | −0.780950 | + | 0.445093i | ||||
\(680\) | − | 0.241549i | − | 0.00926298i | ||||||
\(681\) | 20.6941 | + | 21.4383i | 0.793000 | + | 0.821519i | ||||
\(682\) | 0.737363 | + | 1.27715i | 0.0282351 | + | 0.0489046i | ||||
\(683\) | −20.4986 | − | 35.5046i | −0.784357 | − | 1.35855i | −0.929383 | − | 0.369118i | \(-0.879660\pi\) |
0.145026 | − | 0.989428i | \(-0.453673\pi\) | |||||||
\(684\) | 9.66357 | − | 5.13303i | 0.369496 | − | 0.196266i | ||||
\(685\) | 0.616484i | 0.0235546i | ||||||||
\(686\) | 15.8819 | + | 9.52716i | 0.606372 | + | 0.363749i | ||||
\(687\) | −15.8993 | − | 4.56266i | −0.606598 | − | 0.174076i | ||||
\(688\) | −2.45216 | + | 4.24727i | −0.0934879 | + | 0.161926i | ||||
\(689\) | 6.56871 | − | 3.37846i | 0.250248 | − | 0.128709i | ||||
\(690\) | −0.0432786 | − | 0.173736i | −0.00164759 | − | 0.00661401i | ||||
\(691\) | −3.60774 | + | 6.24879i | −0.137245 | + | 0.237715i | −0.926453 | − | 0.376411i | \(-0.877158\pi\) |
0.789208 | + | 0.614126i | \(0.210491\pi\) | |||||||
\(692\) | −11.6534 | −0.442995 | ||||||||
\(693\) | −9.57537 | − | 0.391866i | −0.363738 | − | 0.0148858i | ||||
\(694\) | − | 6.23911i | − | 0.236833i | ||||||
\(695\) | −0.957212 | + | 1.65794i | −0.0363091 | + | 0.0628892i | ||||
\(696\) | −11.8289 | + | 2.94664i | −0.448372 | + | 0.111692i | ||||
\(697\) | −0.825602 | + | 0.476661i | −0.0312719 | + | 0.0180548i | ||||
\(698\) | −2.59933 | + | 4.50217i | −0.0983860 | + | 0.170410i | ||||
\(699\) | 5.25306 | − | 18.3051i | 0.198689 | − | 0.692364i | ||||
\(700\) | −0.0736074 | + | 13.1989i | −0.00278210 | + | 0.498872i | ||||
\(701\) | − | 20.2655i | − | 0.765419i | −0.923869 | − | 0.382709i | \(-0.874991\pi\) | ||
0.923869 | − | 0.382709i | \(-0.125009\pi\) | |||||||
\(702\) | −18.4949 | + | 2.98957i | −0.698046 | + | 0.112834i | ||||
\(703\) | −7.33760 | + | 4.23636i | −0.276743 | + | 0.159777i | ||||
\(704\) | 0.603696 | + | 1.04563i | 0.0227527 | + | 0.0394088i | ||||
\(705\) | 0.225314 | − | 0.217492i | 0.00848581 | − | 0.00819123i | ||||
\(706\) | − | 24.8708i | − | 0.936024i | ||||||
\(707\) | 26.6843 | + | 15.6053i | 1.00357 | + | 0.586896i | ||||
\(708\) | −4.98727 | + | 17.3790i | −0.187433 | + | 0.653141i | ||||
\(709\) | 22.9129 | + | 13.2288i | 0.860513 | + | 0.496817i | 0.864184 | − | 0.503176i | \(-0.167835\pi\) |
−0.00367133 | + | 0.999993i | \(0.501169\pi\) | |||||||
\(710\) | −0.249328 | + | 0.143950i | −0.00935711 | + | 0.00540233i | ||||
\(711\) | 1.06993 | − | 30.2758i | 0.0401256 | − | 1.13543i | ||||
\(712\) | 14.7044 | + | 8.48960i | 0.551072 | + | 0.318161i | ||||
\(713\) | 1.19307i | 0.0446809i | ||||||||
\(714\) | −7.22223 | − | 7.56595i | −0.270285 | − | 0.283149i | ||||
\(715\) | −0.0223607 | + | 0.460157i | −0.000836244 | + | 0.0172089i | ||||
\(716\) | 15.1632 | + | 8.75448i | 0.566676 | + | 0.327170i | ||||
\(717\) | −6.37453 | − | 25.5897i | −0.238061 | − | 0.955663i | ||||
\(718\) | 15.5010 | + | 26.8486i | 0.578494 | + | 1.00198i | ||||
\(719\) | 6.33059 | − | 10.9649i | 0.236091 | − | 0.408922i | −0.723498 | − | 0.690326i | \(-0.757467\pi\) |
0.959589 | + | 0.281405i | \(0.0908003\pi\) | |||||||
\(720\) | 0.168352 | − | 0.269170i | 0.00627413 | − | 0.0100314i | ||||
\(721\) | −3.05236 | − | 0.0170223i | −0.113676 | − | 0.000633945i | ||||
\(722\) | −5.69638 | −0.211997 | ||||||||
\(723\) | 20.4032 | − | 19.6949i | 0.758802 | − | 0.732460i | ||||
\(724\) | 11.5944 | − | 6.69403i | 0.430903 | − | 0.248782i | ||||
\(725\) | −30.4077 | + | 17.5559i | −1.12931 | + | 0.652008i | ||||
\(726\) | 11.8913 | − | 11.4785i | 0.441329 | − | 0.426008i | ||||
\(727\) | − | 18.4770i | − | 0.685274i | −0.939468 | − | 0.342637i | \(-0.888680\pi\) | ||
0.939468 | − | 0.342637i | \(-0.111320\pi\) | |||||||
\(728\) | 8.50732 | − | 4.31572i | 0.315302 | − | 0.159951i | ||||
\(729\) | −2.85596 | + | 26.8485i | −0.105776 | + | 0.994390i | ||||
\(730\) | −0.682342 | − | 0.393950i | −0.0252546 | − | 0.0145808i | ||||
\(731\) | −5.59702 | − | 9.69432i | −0.207013 | − | 0.358557i | ||||
\(732\) | 16.8324 | − | 4.19304i | 0.622142 | − | 0.154979i | ||||
\(733\) | 1.52428 | − | 2.64013i | 0.0563005 | − | 0.0975153i | −0.836502 | − | 0.547965i | \(-0.815403\pi\) |
0.892802 | + | 0.450449i | \(0.148736\pi\) | |||||||
\(734\) | 17.0457i | 0.629168i | ||||||||
\(735\) | −0.880763 | − | 0.933044i | −0.0324874 | − | 0.0344159i | ||||
\(736\) | 0.976796i | 0.0360052i | ||||||||
\(737\) | −6.82561 | − | 3.94077i | −0.251425 | − | 0.145160i | ||||
\(738\) | −1.25223 | − | 0.0442532i | −0.0460951 | − | 0.00162898i | ||||
\(739\) | 29.4714 | − | 17.0153i | 1.08412 | − | 0.625919i | 0.152118 | − | 0.988362i | \(-0.451391\pi\) |
0.932006 | + | 0.362443i | \(0.118057\pi\) | |||||||
\(740\) | −0.122915 | + | 0.212896i | −0.00451846 | + | 0.00782620i | ||||
\(741\) | −21.5636 | − | 7.33834i | −0.792159 | − | 0.269581i | ||||
\(742\) | 2.68392 | + | 4.70915i | 0.0985300 | + | 0.172878i | ||||
\(743\) | 51.3542 | 1.88400 | 0.942002 | − | 0.335607i | \(-0.108941\pi\) | ||||
0.942002 | + | 0.335607i | \(0.108941\pi\) | |||||||
\(744\) | −1.52211 | + | 1.46927i | −0.0558031 | + | 0.0538659i | ||||
\(745\) | 1.08612 | − | 0.627072i | 0.0397924 | − | 0.0229741i | ||||
\(746\) | −10.9216 | − | 18.9168i | −0.399869 | − | 0.692594i | ||||
\(747\) | −16.4351 | − | 30.9412i | −0.601331 | − | 1.13208i | ||||
\(748\) | −2.75585 | −0.100764 | ||||||||
\(749\) | −32.1883 | − | 0.179507i | −1.17613 | − | 0.00655903i | ||||
\(750\) | 0.505041 | − | 1.75990i | 0.0184415 | − | 0.0642624i | ||||
\(751\) | −3.22181 | + | 5.58034i | −0.117566 | + | 0.203630i | −0.918802 | − | 0.394718i | \(-0.870842\pi\) |
0.801237 | + | 0.598347i | \(0.204176\pi\) | |||||||
\(752\) | −1.47958 | + | 0.854236i | −0.0539547 | + | 0.0311508i | ||||
\(753\) | 2.38153 | + | 9.56030i | 0.0867876 | + | 0.348397i | ||||
\(754\) | 21.3348 | + | 13.7398i | 0.776966 | + | 0.500376i | ||||
\(755\) | −1.91993 | −0.0698735 | ||||||||
\(756\) | −2.77483 | − | 13.4648i | −0.100920 | − | 0.489709i | ||||
\(757\) | −33.0813 | −1.20236 | −0.601180 | − | 0.799114i | \(-0.705302\pi\) | ||||
−0.601180 | + | 0.799114i | \(0.705302\pi\) | |||||||
\(758\) | −25.6019 | − | 14.7812i | −0.929902 | − | 0.536879i | ||||
\(759\) | −1.98217 | + | 0.493769i | −0.0719480 | + | 0.0179227i | ||||
\(760\) | 0.334282 | − | 0.192998i | 0.0121257 | − | 0.00700077i | ||||
\(761\) | −2.67214 | − | 1.54276i | −0.0968650 | − | 0.0559250i | 0.450785 | − | 0.892633i | \(-0.351144\pi\) |
−0.547650 | + | 0.836708i | \(0.684477\pi\) | |||||||
\(762\) | 22.9554 | + | 6.58756i | 0.831587 | + | 0.238642i | ||||
\(763\) | −9.62391 | + | 16.4565i | −0.348409 | + | 0.595764i | ||||
\(764\) | − | 14.8904i | − | 0.538717i | ||||||
\(765\) | 0.339934 | + | 0.639968i | 0.0122903 | + | 0.0231381i | ||||
\(766\) | 13.3338 | − | 7.69829i | 0.481771 | − | 0.278151i | ||||
\(767\) | 33.4699 | − | 17.2145i | 1.20853 | − | 0.621578i | ||||
\(768\) | −1.24618 | + | 1.20292i | −0.0449678 | + | 0.0434067i | ||||
\(769\) | 44.6644 | 1.61064 | 0.805320 | − | 0.592840i | \(-0.201993\pi\) | ||||
0.805320 | + | 0.592840i | \(0.201993\pi\) | |||||||
\(770\) | −0.338056 | − | 0.00188526i | −0.0121827 | − | 6.79401e-5i | ||||
\(771\) | −24.6298 | − | 7.06805i | −0.887020 | − | 0.254550i | ||||
\(772\) | −11.3018 | − | 6.52508i | −0.406759 | − | 0.234843i | ||||
\(773\) | 44.2470 | − | 25.5460i | 1.59145 | − | 0.918826i | 0.598396 | − | 0.801201i | \(-0.295805\pi\) |
0.993058 | − | 0.117626i | \(-0.0375283\pi\) | |||||||
\(774\) | 0.519626 | − | 14.7038i | 0.0186776 | − | 0.528517i | ||||
\(775\) | −3.04669 | + | 5.27703i | −0.109440 | + | 0.189556i | ||||
\(776\) | −8.85297 | −0.317803 | ||||||||
\(777\) | 2.51547 | + | 10.3436i | 0.0902419 | + | 0.371074i | ||||
\(778\) | − | 11.3553i | − | 0.407107i | ||||||
\(779\) | −1.31931 | − | 0.761706i | −0.0472693 | − | 0.0272910i | ||||
\(780\) | −0.648292 | + | 0.128436i | −0.0232126 | + | 0.00459873i | ||||
\(781\) | 1.64233 | + | 2.84460i | 0.0587672 | + | 0.101788i | ||||
\(782\) | −1.93082 | − | 1.11476i | −0.0690460 | − | 0.0398637i | ||||
\(783\) | 27.1930 | − | 24.4538i | 0.971797 | − | 0.873907i | ||||
\(784\) | 3.43217 | + | 6.10084i | 0.122577 | + | 0.217887i | ||||
\(785\) | −1.87231 | −0.0668254 | ||||||||
\(786\) | −15.9956 | + | 15.4403i | −0.570545 | + | 0.550739i | ||||
\(787\) | −16.0516 | − | 27.8022i | −0.572178 | − | 0.991042i | −0.996342 | − | 0.0854563i | \(-0.972765\pi\) |
0.424164 | − | 0.905586i | \(-0.360568\pi\) | |||||||
\(788\) | 4.40599 | + | 7.63140i | 0.156957 | + | 0.271858i | ||||
\(789\) | 28.2455 | + | 29.2613i | 1.00556 | + | 1.04173i | ||||
\(790\) | − | 1.06867i | − | 0.0380215i | ||||||
\(791\) | −17.4461 | − | 30.6104i | −0.620310 | − | 1.08838i | ||||
\(792\) | −3.07098 | − | 1.92075i | −0.109122 | − | 0.0682507i | ||||
\(793\) | −30.3591 | − | 19.5516i | −1.07808 | − | 0.694299i | ||||
\(794\) | −12.6212 | − | 21.8606i | −0.447910 | − | 0.775802i | ||||
\(795\) | −0.0907700 | − | 0.364383i | −0.00321928 | − | 0.0129233i | ||||
\(796\) | −13.8134 | − | 7.97517i | −0.489603 | − | 0.282672i | ||||
\(797\) | −14.8107 | −0.524621 | −0.262311 | − | 0.964983i | \(-0.584485\pi\) | ||||
−0.262311 | + | 0.964983i | \(0.584485\pi\) | |||||||
\(798\) | 4.70004 | − | 16.0401i | 0.166379 | − | 0.567814i | ||||
\(799\) | − | 3.89956i | − | 0.137956i | ||||||
\(800\) | −2.49440 | + | 4.32043i | −0.0881904 | + | 0.152750i | ||||
\(801\) | −50.9058 | − | 1.79899i | −1.79867 | − | 0.0635642i | ||||
\(802\) | 17.2752 | + | 29.9215i | 0.610008 | + | 1.05656i | ||||
\(803\) | −4.49461 | + | 7.78489i | −0.158611 | + | 0.274723i | ||||
\(804\) | 3.11873 | − | 10.8677i | 0.109989 | − | 0.383275i | ||||
\(805\) | −0.236088 | − | 0.138067i | −0.00832101 | − | 0.00486621i | ||||
\(806\) | 4.39868 | + | 0.213748i | 0.154937 | + | 0.00752895i | ||||
\(807\) | 22.8651 | − | 22.0713i | 0.804889 | − | 0.776947i | ||||
\(808\) | 5.84190 | + | 10.1185i | 0.205517 | + | 0.355966i | ||||
\(809\) | −41.4000 | + | 23.9023i | −1.45555 | + | 0.840361i | −0.998788 | − | 0.0492291i | \(-0.984324\pi\) |
−0.456760 | + | 0.889590i | \(0.650990\pi\) | |||||||
\(810\) | −0.0672341 | + | 0.950070i | −0.00236237 | + | 0.0333821i | ||||
\(811\) | 37.9398 | 1.33225 | 0.666123 | − | 0.745842i | \(-0.267953\pi\) | ||||
0.666123 | + | 0.745842i | \(0.267953\pi\) | |||||||
\(812\) | −9.40033 | + | 16.0742i | −0.329887 | + | 0.564093i | ||||
\(813\) | −36.7601 | − | 10.5491i | −1.28923 | − | 0.369973i | ||||
\(814\) | 2.42894 | + | 1.40235i | 0.0851344 | + | 0.0491524i | ||||
\(815\) | 0.293544 | + | 0.508433i | 0.0102824 | + | 0.0178096i | ||||
\(816\) | −0.955606 | − | 3.83614i | −0.0334529 | − | 0.134292i | ||||
\(817\) | 8.94405 | − | 15.4916i | 0.312913 | − | 0.541981i | ||||
\(818\) | 9.90258 | 0.346235 | ||||||||
\(819\) | −16.4660 | + | 23.4066i | −0.575370 | + | 0.817894i | ||||
\(820\) | −0.0442008 | −0.00154356 | ||||||||
\(821\) | −7.70294 | + | 13.3419i | −0.268835 | + | 0.465635i | −0.968561 | − | 0.248776i | \(-0.919972\pi\) |
0.699727 | + | 0.714411i | \(0.253305\pi\) | |||||||
\(822\) | 2.43891 | + | 9.79064i | 0.0850666 | + | 0.341488i | ||||
\(823\) | 5.07586 | + | 8.79165i | 0.176933 | + | 0.306458i | 0.940829 | − | 0.338883i | \(-0.110049\pi\) |
−0.763895 | + | 0.645340i | \(0.776716\pi\) | |||||||
\(824\) | −0.999136 | − | 0.576851i | −0.0348065 | − | 0.0200956i | ||||
\(825\) | −10.0281 | − | 2.87780i | −0.349135 | − | 0.100192i | ||||
\(826\) | 13.6755 | + | 23.9948i | 0.475833 | + | 0.834885i | ||||
\(827\) | 52.1371 | 1.81299 | 0.906493 | − | 0.422221i | \(-0.138749\pi\) | ||||
0.906493 | + | 0.422221i | \(0.138749\pi\) | |||||||
\(828\) | −1.37465 | − | 2.58796i | −0.0477725 | − | 0.0899377i | ||||
\(829\) | 3.42966 | − | 1.98012i | 0.119117 | − | 0.0687722i | −0.439258 | − | 0.898361i | \(-0.644758\pi\) |
0.558375 | + | 0.829589i | \(0.311425\pi\) | |||||||
\(830\) | −0.617949 | − | 1.07032i | −0.0214493 | − | 0.0371513i | ||||
\(831\) | −2.78065 | + | 2.68412i | −0.0964597 | + | 0.0931111i | ||||
\(832\) | 3.60130 | + | 0.175001i | 0.124853 | + | 0.00606705i | ||||
\(833\) | −15.9764 | − | 0.178199i | −0.553549 | − | 0.00617423i | ||||
\(834\) | −8.64282 | + | 30.1173i | −0.299276 | + | 1.04288i | ||||
\(835\) | −0.487349 | + | 0.844113i | −0.0168654 | + | 0.0292117i | ||||
\(836\) | −2.20193 | − | 3.81385i | −0.0761553 | − | 0.131905i | ||||
\(837\) | 1.96501 | − | 6.03479i | 0.0679207 | − | 0.208593i | ||||
\(838\) | 13.4831 | − | 23.3535i | 0.465767 | − | 0.806733i | ||||
\(839\) | 30.7002i | 1.05989i | 0.848033 | + | 0.529944i | \(0.177787\pi\) | ||||
−0.848033 | + | 0.529944i | \(0.822213\pi\) | |||||||
\(840\) | −0.114598 | − | 0.471227i | −0.00395402 | − | 0.0162589i | ||||
\(841\) | −20.5350 | −0.708104 | ||||||||
\(842\) | −9.22081 | − | 5.32364i | −0.317770 | − | 0.183465i | ||||
\(843\) | 9.83388 | + | 39.4767i | 0.338697 | + | 1.35965i | ||||
\(844\) | −8.13330 | − | 14.0873i | −0.279960 | − | 0.484904i | ||||
\(845\) | 1.11913 | + | 0.800157i | 0.0384992 | + | 0.0275262i | ||||
\(846\) | 2.71787 | − | 4.34546i | 0.0934424 | − | 0.149400i | ||||
\(847\) | 0.140791 | − | 25.2459i | 0.00483763 | − | 0.867460i | ||||
\(848\) | 2.04868i | 0.0703518i | ||||||||
\(849\) | 5.85822 | + | 6.06890i | 0.201054 | + | 0.208284i | ||||
\(850\) | −5.69342 | − | 9.86130i | −0.195283 | − | 0.338240i | ||||
\(851\) | 1.13452 | + | 1.96505i | 0.0388909 | + | 0.0673609i | ||||
\(852\) | −3.39020 | + | 3.27250i | −0.116146 | + | 0.112114i | ||||
\(853\) | 36.8069 | 1.26024 | 0.630122 | − | 0.776496i | \(-0.283005\pi\) | ||||
0.630122 | + | 0.776496i | \(0.283005\pi\) | |||||||
\(854\) | 13.3766 | − | 22.8734i | 0.457737 | − | 0.782710i | ||||
\(855\) | −0.614051 | + | 0.981773i | −0.0210001 | + | 0.0335759i | ||||
\(856\) | −10.5362 | − | 6.08311i | −0.360122 | − | 0.207916i | ||||
\(857\) | 24.8881 | + | 43.1074i | 0.850160 | + | 1.47252i | 0.881064 | + | 0.472998i | \(0.156828\pi\) |
−0.0309036 | + | 0.999522i | \(0.509838\pi\) | |||||||
\(858\) | 1.46533 | + | 7.39641i | 0.0500256 | + | 0.252509i | ||||
\(859\) | 33.0379 | + | 19.0744i | 1.12724 | + | 0.650811i | 0.943239 | − | 0.332116i | \(-0.107762\pi\) |
0.183999 | + | 0.982927i | \(0.441096\pi\) | |||||||
\(860\) | − | 0.519012i | − | 0.0176982i | ||||||
\(861\) | −1.38449 | + | 1.32159i | −0.0471832 | + | 0.0450396i | ||||
\(862\) | −22.0260 | −0.750210 | ||||||||
\(863\) | −5.64656 | + | 9.78013i | −0.192211 | + | 0.332919i | −0.945983 | − | 0.324217i | \(-0.894899\pi\) |
0.753772 | + | 0.657137i | \(0.228233\pi\) | |||||||
\(864\) | 1.60880 | − | 4.94083i | 0.0547325 | − | 0.168090i | ||||
\(865\) | 1.06802 | − | 0.616623i | 0.0363138 | − | 0.0209658i | ||||
\(866\) | 30.8757 | + | 17.8261i | 1.04920 | + | 0.605756i | ||||
\(867\) | −19.6291 | − | 5.63299i | −0.666639 | − | 0.191307i | ||||
\(868\) | −0.0180214 | + | 3.23151i | −0.000611685 | + | 0.109684i | ||||
\(869\) | −12.1925 | −0.413603 | ||||||||
\(870\) | 0.928189 | − | 0.895967i | 0.0314686 | − | 0.0303761i | ||||
\(871\) | −20.9300 | + | 10.7649i | −0.709186 | + | 0.364753i | ||||
\(872\) | −6.24015 | + | 3.60275i | −0.211318 | + | 0.122005i | ||||
\(873\) | 23.4553 | − | 12.4588i | 0.793843 | − | 0.421668i | ||||
\(874\) | − | 3.56278i | − | 0.120513i | ||||||
\(875\) | −1.38487 | − | 2.42985i | −0.0468171 | − | 0.0821441i | ||||
\(876\) | −12.3951 | − | 3.55704i | −0.418791 | − | 0.120181i | ||||
\(877\) | −0.700269 | − | 0.404301i | −0.0236464 | − | 0.0136523i | 0.488130 | − | 0.872771i | \(-0.337679\pi\) |
−0.511777 | + | 0.859119i | \(0.671012\pi\) | |||||||
\(878\) | 8.95324 | − | 5.16916i | 0.302157 | − | 0.174451i | ||||
\(879\) | −6.67445 | + | 1.66264i | −0.225124 | + | 0.0560796i | ||||
\(880\) | −0.110657 | − | 0.0638876i | −0.00373023 | − | 0.00215365i | ||||
\(881\) | −32.2390 | −1.08616 | −0.543079 | − | 0.839681i | \(-0.682742\pi\) | ||||
−0.543079 | + | 0.839681i | \(0.682742\pi\) | |||||||
\(882\) | −17.6790 | − | 11.3336i | −0.595284 | − | 0.381623i | ||||
\(883\) | −15.8943 | −0.534886 | −0.267443 | − | 0.963574i | \(-0.586179\pi\) | ||||
−0.267443 | + | 0.963574i | \(0.586179\pi\) | |||||||
\(884\) | −4.45587 | + | 6.91893i | −0.149867 | + | 0.232709i | ||||
\(885\) | −0.462505 | − | 1.85666i | −0.0155469 | − | 0.0624110i | ||||
\(886\) | 33.8232 | − | 19.5279i | 1.13631 | − | 0.656051i | ||||
\(887\) | 14.9312 | − | 25.8616i | 0.501340 | − | 0.868347i | −0.498659 | − | 0.866798i | \(-0.666174\pi\) |
0.999999 | − | 0.00154824i | \(-0.000492819\pi\) | |||||||
\(888\) | −1.10982 | + | 3.86736i | −0.0372432 | + | 0.129780i | ||||
\(889\) | 31.6941 | − | 18.0637i | 1.06299 | − | 0.605836i | ||||
\(890\) | −1.79686 | −0.0602310 | ||||||||
\(891\) | 10.8394 | + | 0.767079i | 0.363134 | + | 0.0256981i | ||||
\(892\) | −9.70620 | − | 16.8116i | −0.324988 | − | 0.562895i | ||||
\(893\) | 5.39664 | − | 3.11575i | 0.180592 | − | 0.104265i | ||||
\(894\) | 14.7683 | − | 14.2557i | 0.493927 | − | 0.476780i | ||||
\(895\) | −1.85293 | −0.0619365 | ||||||||
\(896\) | −0.0147545 | + | 2.64571i | −0.000492914 | + | 0.0883870i | ||||
\(897\) | −1.96525 | + | 5.77485i | −0.0656177 | + | 0.192817i | ||||
\(898\) | 7.21296 | − | 12.4932i | 0.240699 | − | 0.416904i | ||||
\(899\) | −7.44474 | + | 4.29822i | −0.248296 | + | 0.143354i | ||||
\(900\) | 0.528576 | − | 14.9571i | 0.0176192 | − | 0.498569i | ||||
\(901\) | −4.04959 | − | 2.33803i | −0.134911 | − | 0.0778912i | ||||
\(902\) | 0.504291i | 0.0167910i | ||||||||
\(903\) | −15.5183 | − | 16.2568i | −0.516416 | − | 0.540993i | ||||
\(904\) | − | 13.3168i | − | 0.442911i | ||||||
\(905\) | −0.708412 | + | 1.22701i | −0.0235484 | + | 0.0407870i | ||||
\(906\) | −30.4913 | + | 7.59555i | −1.01300 | + | 0.252345i | ||||
\(907\) | 10.7037 | + | 18.5394i | 0.355411 | + | 0.615590i | 0.987188 | − | 0.159560i | \(-0.0510076\pi\) |
−0.631777 | + | 0.775150i | \(0.717674\pi\) | |||||||
\(908\) | 14.8984 | + | 8.60159i | 0.494420 | + | 0.285454i | ||||
\(909\) | −29.7175 | − | 18.5868i | −0.985667 | − | 0.616487i | ||||
\(910\) | −0.551328 | + | 0.845686i | −0.0182764 | + | 0.0280342i | ||||
\(911\) | − | 3.64882i | − | 0.120891i | −0.998172 | − | 0.0604454i | \(-0.980748\pi\) | ||
0.998172 | − | 0.0604454i | \(-0.0192521\pi\) | |||||||
\(912\) | 4.54535 | − | 4.38756i | 0.150512 | − | 0.145287i | ||||
\(913\) | −12.2114 | + | 7.05023i | −0.404137 | + | 0.233329i | ||||
\(914\) | 35.3848 | − | 20.4294i | 1.17042 | − | 0.675744i | ||||
\(915\) | −1.32080 | + | 1.27495i | −0.0436644 | + | 0.0421486i | ||||
\(916\) | −9.54999 | −0.315541 | ||||||||
\(917\) | −0.189384 | + | 33.9595i | −0.00625403 | + | 1.12144i | ||||
\(918\) | 7.93044 | + | 8.81877i | 0.261744 | + | 0.291063i | ||||
\(919\) | 2.25933 | − | 3.91327i | 0.0745283 | − | 0.129087i | −0.826353 | − | 0.563153i | \(-0.809588\pi\) |
0.900881 | + | 0.434066i | \(0.142922\pi\) | |||||||
\(920\) | −0.0516859 | − | 0.0895226i | −0.00170403 | − | 0.00295147i | ||||
\(921\) | −1.50157 | − | 6.02783i | −0.0494784 | − | 0.198624i | ||||
\(922\) | 10.9938 | + | 6.34725i | 0.362060 | + | 0.209035i | ||||
\(923\) | 9.79720 | + | 0.476082i | 0.322479 | + | 0.0156704i | ||||
\(924\) | −5.37627 | + | 1.30746i | −0.176866 | + | 0.0430123i | ||||
\(925\) | 11.5887i | 0.381034i | ||||||||
\(926\) | −26.2022 | − | 15.1278i | −0.861056 | − | 0.497131i | ||||
\(927\) | 3.45895 | + | 0.122238i | 0.113607 | + | 0.00401482i | ||||
\(928\) | −6.09518 | + | 3.51906i | −0.200084 | + | 0.115519i | ||||
\(929\) | 14.5504 | + | 8.40067i | 0.477383 | + | 0.275617i | 0.719325 | − | 0.694674i | \(-0.244451\pi\) |
−0.241942 | + | 0.970291i | \(0.577785\pi\) | |||||||
\(930\) | 0.0617555 | − | 0.215197i | 0.00202504 | − | 0.00705660i | ||||
\(931\) | −12.5185 | − | 22.2523i | −0.410279 | − | 0.729289i | ||||
\(932\) | − | 10.9950i | − | 0.360154i | ||||||
\(933\) | 36.6761 | − | 35.4029i | 1.20072 | − | 1.15904i | ||||
\(934\) | 7.65871 | + | 13.2653i | 0.250601 | + | 0.434053i | ||||
\(935\) | 0.252572 | − | 0.145822i | 0.00825997 | − | 0.00476890i | ||||
\(936\) | −9.78768 | + | 4.60448i | −0.319920 | + | 0.150502i | ||||
\(937\) | − | 24.5999i | − | 0.803645i | −0.915718 | − | 0.401822i | \(-0.868377\pi\) | ||
0.915718 | − | 0.401822i | \(-0.131623\pi\) | |||||||
\(938\) | −8.55183 | − | 15.0048i | −0.279227 | − | 0.489925i | ||||
\(939\) | −7.03521 | + | 24.5153i | −0.229585 | + | 0.800027i | ||||
\(940\) | 0.0904015 | − | 0.156580i | 0.00294857 | − | 0.00510708i | ||||
\(941\) | 36.5960 | − | 21.1287i | 1.19299 | − | 0.688776i | 0.234010 | − | 0.972234i | \(-0.424815\pi\) |
0.958984 | + | 0.283459i | \(0.0914819\pi\) | |||||||
\(942\) | −29.7349 | + | 7.40713i | −0.968815 | + | 0.241337i | ||||
\(943\) | −0.203989 | + | 0.353319i | −0.00664279 | + | 0.0115057i | ||||
\(944\) | 10.4387i | 0.339752i | ||||||||
\(945\) | 0.966782 | + | 1.08721i | 0.0314494 | + | 0.0353669i | ||||
\(946\) | −5.92145 | −0.192523 | ||||||||
\(947\) | −4.10191 | + | 7.10472i | −0.133294 | + | 0.230872i | −0.924945 | − | 0.380102i | \(-0.875889\pi\) |
0.791650 | + | 0.610974i | \(0.209222\pi\) | |||||||
\(948\) | −4.22782 | − | 16.9720i | −0.137313 | − | 0.551224i | ||||
\(949\) | 12.2778 | + | 23.8715i | 0.398553 | + | 0.774903i | ||||
\(950\) | 9.09811 | − | 15.7584i | 0.295182 | − | 0.511269i | ||||
\(951\) | 44.6063 | + | 12.8007i | 1.44646 | + | 0.415092i | ||||
\(952\) | −5.21290 | − | 3.04856i | −0.168951 | − | 0.0988043i | ||||
\(953\) | 53.5038i | 1.73316i | 0.499041 | + | 0.866578i | \(0.333686\pi\) | ||||
−0.499041 | + | 0.866578i | \(0.666314\pi\) | |||||||
\(954\) | −2.88312 | − | 5.42783i | −0.0933443 | − | 0.175732i | ||||
\(955\) | 0.787907 | + | 1.36469i | 0.0254961 | + | 0.0441605i | ||||
\(956\) | −7.61285 | − | 13.1858i | −0.246217 | − | 0.426460i | ||||
\(957\) | −10.2222 | − | 10.5898i | −0.330435 | − | 0.342319i | ||||
\(958\) | − | 42.5731i | − | 1.37548i | ||||||
\(959\) | 13.3044 | + | 7.78056i | 0.429622 | + | 0.251247i | ||||
\(960\) | 0.0505607 | − | 0.176187i | 0.00163184 | − | 0.00568641i | ||||
\(961\) | 14.7541 | − | 25.5548i | 0.475938 | − | 0.824349i | ||||
\(962\) | 7.44809 | − | 3.83075i | 0.240136 | − | 0.123508i | ||||
\(963\) | 36.4759 | + | 1.28904i | 1.17542 | + | 0.0415388i | ||||
\(964\) | 8.18626 | − | 14.1790i | 0.263662 | − | 0.456675i | ||||
\(965\) | 1.38106 | 0.0444580 | ||||||||
\(966\) | −4.29563 | − | 1.25869i | −0.138210 | − | 0.0404978i | ||||
\(967\) | 28.2530i | 0.908555i | 0.890860 | + | 0.454278i | \(0.150103\pi\) | ||||
−0.890860 | + | 0.454278i | \(0.849897\pi\) | |||||||
\(968\) | 4.77110 | − | 8.26379i | 0.153349 | − | 0.265608i | ||||
\(969\) | 3.48549 | + | 13.9920i | 0.111970 | + | 0.449488i | ||||
\(970\) | 0.811367 | − | 0.468443i | 0.0260514 | − | 0.0150408i | ||||
\(971\) | 7.54548 | − | 13.0692i | 0.242146 | − | 0.419409i | −0.719179 | − | 0.694825i | \(-0.755482\pi\) |
0.961325 | + | 0.275415i | \(0.0888153\pi\) | |||||||
\(972\) | 2.69085 | + | 15.3545i | 0.0863091 | + | 0.492494i | ||||
\(973\) | 23.6994 | + | 41.5824i | 0.759768 | + | 1.33307i | ||||
\(974\) | − | 4.95482i | − | 0.158763i | ||||||
\(975\) | −23.4394 | + | 20.5240i | −0.750661 | + | 0.657293i | ||||
\(976\) | 8.67338 | − | 5.00758i | 0.277628 | − | 0.160289i | ||||
\(977\) | 12.0405 | + | 20.8547i | 0.385208 | + | 0.667200i | 0.991798 | − | 0.127815i | \(-0.0407963\pi\) |
−0.606590 | + | 0.795015i | \(0.707463\pi\) | |||||||
\(978\) | 6.67333 | + | 6.91333i | 0.213390 | + | 0.221064i | ||||
\(979\) | 20.5006i | 0.655201i | ||||||||
\(980\) | −0.637373 | − | 0.377528i | −0.0203601 | − | 0.0120597i | ||||
\(981\) | 11.4627 | − | 18.3270i | 0.365975 | − | 0.585138i | ||||
\(982\) | 31.4850 | + | 18.1779i | 1.00473 | + | 0.580079i | ||||
\(983\) | 23.0577 | − | 13.3124i | 0.735427 | − | 0.424599i | −0.0849773 | − | 0.996383i | \(-0.527082\pi\) |
0.820404 | + | 0.571784i | \(0.193748\pi\) | |||||||
\(984\) | −0.701972 | + | 0.174865i | −0.0223781 | + | 0.00557451i | ||||
\(985\) | −0.807611 | − | 0.466275i | −0.0257326 | − | 0.0148567i | ||||
\(986\) | − | 16.0644i | − | 0.511593i | ||||||
\(987\) | −1.85007 | − | 7.60747i | −0.0588884 | − | 0.242148i | ||||
\(988\) | −13.1354 | − | 0.638299i | −0.417894 | − | 0.0203070i | ||||
\(989\) | −4.14872 | − | 2.39526i | −0.131922 | − | 0.0761650i | ||||
\(990\) | 0.383086 | + | 0.0135381i | 0.0121753 | + | 0.000430269i | ||||
\(991\) | 3.04456 | + | 5.27333i | 0.0967135 | + | 0.167513i | 0.910322 | − | 0.413900i | \(-0.135834\pi\) |
−0.813609 | + | 0.581412i | \(0.802500\pi\) | |||||||
\(992\) | −0.610707 | + | 1.05778i | −0.0193900 | + | 0.0335844i | ||||
\(993\) | 0.843428 | − | 2.93906i | 0.0267654 | − | 0.0932684i | ||||
\(994\) | −0.0401391 | + | 7.19755i | −0.00127314 | + | 0.228292i | ||||
\(995\) | 1.68798 | 0.0535126 | ||||||||
\(996\) | −14.0483 | − | 14.5535i | −0.445136 | − | 0.461145i | ||||
\(997\) | 27.4812 | − | 15.8663i | 0.870339 | − | 0.502491i | 0.00287843 | − | 0.999996i | \(-0.499084\pi\) |
0.867461 | + | 0.497505i | \(0.165750\pi\) | |||||||
\(998\) | −22.8436 | + | 13.1887i | −0.723100 | + | 0.417482i | ||||
\(999\) | −2.50216 | − | 11.8082i | −0.0791648 | − | 0.373594i |
(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.bg.a.467.8 | yes | 36 | |
3.2 | odd | 2 | 546.2.bg.b.467.14 | yes | 36 | ||
7.3 | odd | 6 | inner | 546.2.bg.a.311.14 | yes | 36 | |
13.12 | even | 2 | 546.2.bg.b.467.8 | yes | 36 | ||
21.17 | even | 6 | 546.2.bg.b.311.8 | yes | 36 | ||
39.38 | odd | 2 | inner | 546.2.bg.a.467.14 | yes | 36 | |
91.38 | odd | 6 | 546.2.bg.b.311.14 | yes | 36 | ||
273.38 | even | 6 | inner | 546.2.bg.a.311.8 | ✓ | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bg.a.311.8 | ✓ | 36 | 273.38 | even | 6 | inner | |
546.2.bg.a.311.14 | yes | 36 | 7.3 | odd | 6 | inner | |
546.2.bg.a.467.8 | yes | 36 | 1.1 | even | 1 | trivial | |
546.2.bg.a.467.14 | yes | 36 | 39.38 | odd | 2 | inner | |
546.2.bg.b.311.8 | yes | 36 | 21.17 | even | 6 | ||
546.2.bg.b.311.14 | yes | 36 | 91.38 | odd | 6 | ||
546.2.bg.b.467.8 | yes | 36 | 13.12 | even | 2 | ||
546.2.bg.b.467.14 | yes | 36 | 3.2 | odd | 2 |