Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1368,2,Mod(379,1368)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1368, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1368.379");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1368 = 2^{3} \cdot 3^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1368.e (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(10.9235349965\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Twist minimal: | no (minimal twist has level 456) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 379.5 | ||
Character | \(\chi\) | \(=\) | 1368.379 |
Dual form | 1368.2.e.g.379.6 |
$q$-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 \(\left(\mathbb{Z}/1368\mathbb{Z}\right)^\times\).
\(n\) | \(343\) | \(685\) | \(1009\) | \(1217\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.33983 | − | 0.452615i | −0.947402 | − | 0.320047i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.59028 | + | 1.21285i | 0.795140 | + | 0.606426i | ||||
\(5\) | − | 0.393257i | − | 0.175870i | −0.996126 | − | 0.0879349i | \(-0.971973\pi\) | ||
0.996126 | − | 0.0879349i | \(-0.0280268\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.35370i | 0.511649i | 0.966723 | + | 0.255824i | \(0.0823469\pi\) | ||||
−0.966723 | + | 0.255824i | \(0.917653\pi\) | |||||||
\(8\) | −1.58175 | − | 2.34480i | −0.559231 | − | 0.829012i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.177994 | + | 0.526897i | −0.0562866 | + | 0.166619i | ||||
\(11\) | −1.21598 | −0.366631 | −0.183316 | − | 0.983054i | \(-0.558683\pi\) | ||||
−0.183316 | + | 0.983054i | \(0.558683\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.30636 | −0.917020 | −0.458510 | − | 0.888689i | \(-0.651617\pi\) | ||||
−0.458510 | + | 0.888689i | \(0.651617\pi\) | |||||||
\(14\) | 0.612703 | − | 1.81372i | 0.163752 | − | 0.484737i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.05798 | + | 3.85755i | 0.264494 | + | 0.964387i | ||||
\(17\) | 0.00555711 | 0.00134780 | 0.000673898 | − | 1.00000i | \(-0.499785\pi\) | ||||
0.000673898 | 1.00000i | \(0.499785\pi\) | ||||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.48659 | − | 3.58007i | 0.570462 | − | 0.821324i | ||||
\(20\) | 0.476963 | − | 0.625388i | 0.106652 | − | 0.139841i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.62920 | + | 0.550370i | 0.347347 | + | 0.117339i | ||||
\(23\) | 0.677182i | 0.141202i | 0.997505 | + | 0.0706011i | \(0.0224918\pi\) | ||||
−0.997505 | + | 0.0706011i | \(0.977508\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.84535 | 0.969070 | ||||||||
\(26\) | 4.42996 | + | 1.49651i | 0.868786 | + | 0.293490i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.64183 | + | 2.15275i | −0.310277 | + | 0.406832i | ||||
\(29\) | 5.04174 | 0.936228 | 0.468114 | − | 0.883668i | \(-0.344934\pi\) | ||||
0.468114 | + | 0.883668i | \(0.344934\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.84195 | 0.869639 | 0.434820 | − | 0.900518i | \(-0.356812\pi\) | ||||
0.434820 | + | 0.900518i | \(0.356812\pi\) | |||||||
\(32\) | 0.328479 | − | 5.64731i | 0.0580674 | − | 0.998313i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.00744557 | − | 0.00251523i | −0.00127690 | − | 0.000431358i | ||||
\(35\) | 0.532350 | 0.0899836 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.23826 | −0.696766 | −0.348383 | − | 0.937352i | \(-0.613269\pi\) | ||||
−0.348383 | + | 0.937352i | \(0.613269\pi\) | |||||||
\(38\) | −4.95199 | + | 3.67121i | −0.803319 | + | 0.595549i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.922108 | + | 0.622032i | −0.145798 | + | 0.0983519i | ||||
\(41\) | − | 1.96739i | − | 0.307254i | −0.988129 | − | 0.153627i | \(-0.950905\pi\) | ||
0.988129 | − | 0.153627i | \(-0.0490955\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.59845 | 0.701257 | 0.350629 | − | 0.936515i | \(-0.385968\pi\) | ||||
0.350629 | + | 0.936515i | \(0.385968\pi\) | |||||||
\(44\) | −1.93374 | − | 1.47480i | −0.291523 | − | 0.222335i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.306503 | − | 0.907308i | 0.0451914 | − | 0.133775i | ||||
\(47\) | 10.9421i | 1.59607i | 0.602612 | + | 0.798034i | \(0.294127\pi\) | ||||
−0.602612 | + | 0.798034i | \(0.705873\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.16751 | 0.738215 | ||||||||
\(50\) | −6.49194 | − | 2.19308i | −0.918098 | − | 0.310148i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −5.25804 | − | 4.01013i | −0.729159 | − | 0.556105i | ||||
\(53\) | 4.67945 | 0.642772 | 0.321386 | − | 0.946948i | \(-0.395851\pi\) | ||||
0.321386 | + | 0.946948i | \(0.395851\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.478192i | 0.0644793i | ||||||||
\(56\) | 3.17414 | − | 2.14120i | 0.424163 | − | 0.286130i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −6.75507 | − | 2.28197i | −0.886984 | − | 0.299637i | ||||
\(59\) | 9.88941i | 1.28749i | 0.765240 | + | 0.643745i | \(0.222620\pi\) | ||||
−0.765240 | + | 0.643745i | \(0.777380\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − | 4.99390i | − | 0.639403i | −0.947518 | − | 0.319701i | \(-0.896417\pi\) | ||
0.947518 | − | 0.319701i | \(-0.103583\pi\) | |||||||
\(62\) | −6.48738 | − | 2.19154i | −0.823897 | − | 0.278326i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −2.99616 | + | 7.41775i | −0.374520 | + | 0.927219i | ||||
\(65\) | 1.30025i | 0.161276i | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.46296i | 0.300899i | 0.988618 | + | 0.150450i | \(0.0480721\pi\) | ||||
−0.988618 | + | 0.150450i | \(0.951928\pi\) | |||||||
\(68\) | 0.00883735 | + | 0.00673995i | 0.00107169 | + | 0.000817339i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.713258 | − | 0.240950i | −0.0852506 | − | 0.0287990i | ||||
\(71\) | −0.424001 | −0.0503197 | −0.0251598 | − | 0.999683i | \(-0.508009\pi\) | ||||
−0.0251598 | + | 0.999683i | \(0.508009\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.23201 | −0.144196 | −0.0720978 | − | 0.997398i | \(-0.522969\pi\) | ||||
−0.0720978 | + | 0.997398i | \(0.522969\pi\) | |||||||
\(74\) | 5.67855 | + | 1.91830i | 0.660118 | + | 0.222998i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 8.29646 | − | 2.67744i | 0.951670 | − | 0.307124i | ||||
\(77\) | − | 1.64606i | − | 0.187586i | ||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 11.1012 | 1.24899 | 0.624494 | − | 0.781030i | \(-0.285305\pi\) | ||||
0.624494 | + | 0.781030i | \(0.285305\pi\) | |||||||
\(80\) | 1.51701 | − | 0.416056i | 0.169607 | − | 0.0465165i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −0.890470 | + | 2.63596i | −0.0983359 | + | 0.291093i | ||||
\(83\) | 7.42465 | 0.814961 | 0.407481 | − | 0.913214i | \(-0.366407\pi\) | ||||
0.407481 | + | 0.913214i | \(0.366407\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | − | 0.00218537i | − | 0.000237037i | ||||||
\(86\) | −6.16114 | − | 2.08133i | −0.664372 | − | 0.224435i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.92337 | + | 2.85122i | 0.205032 | + | 0.303941i | ||||
\(89\) | 11.9802i | 1.26990i | 0.772552 | + | 0.634952i | \(0.218980\pi\) | ||||
−0.772552 | + | 0.634952i | \(0.781020\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | − | 4.47581i | − | 0.469192i | ||||||
\(92\) | −0.821323 | + | 1.07691i | −0.0856288 | + | 0.112276i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 4.95256 | − | 14.6605i | 0.510817 | − | 1.51212i | ||||
\(95\) | −1.40789 | − | 0.977868i | −0.144446 | − | 0.100327i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.05436i | 0.208589i | 0.994546 | + | 0.104295i | \(0.0332585\pi\) | ||||
−0.994546 | + | 0.104295i | \(0.966742\pi\) | |||||||
\(98\) | −6.92357 | − | 2.33889i | −0.699386 | − | 0.236264i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 7.70546 | + | 5.87670i | 0.770546 | + | 0.587670i | ||||
\(101\) | − | 8.75636i | − | 0.871291i | −0.900118 | − | 0.435645i | \(-0.856520\pi\) | ||
0.900118 | − | 0.435645i | \(-0.143480\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 9.60437 | 0.946346 | 0.473173 | − | 0.880969i | \(-0.343108\pi\) | ||||
0.473173 | + | 0.880969i | \(0.343108\pi\) | |||||||
\(104\) | 5.22982 | + | 7.75275i | 0.512826 | + | 0.760220i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −6.26966 | − | 2.11799i | −0.608964 | − | 0.205718i | ||||
\(107\) | 7.32145i | 0.707791i | 0.935285 | + | 0.353896i | \(0.115143\pi\) | ||||
−0.935285 | + | 0.353896i | \(0.884857\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −6.70281 | −0.642013 | −0.321006 | − | 0.947077i | \(-0.604021\pi\) | ||||
−0.321006 | + | 0.947077i | \(0.604021\pi\) | |||||||
\(110\) | 0.216437 | − | 0.640695i | 0.0206364 | − | 0.0610878i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −5.22195 | + | 1.43218i | −0.493428 | + | 0.135328i | ||||
\(113\) | − | 2.04224i | − | 0.192118i | −0.995376 | − | 0.0960588i | \(-0.969376\pi\) | ||
0.995376 | − | 0.0960588i | \(-0.0306237\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.266307 | 0.0248332 | ||||||||
\(116\) | 8.01778 | + | 6.11489i | 0.744432 | + | 0.567753i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 4.47609 | − | 13.2501i | 0.412058 | − | 1.21977i | ||||
\(119\) | 0.00752263i | 0.000689598i | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −9.52140 | −0.865582 | ||||||||
\(122\) | −2.26031 | + | 6.69096i | −0.204639 | + | 0.605771i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 7.70005 | + | 5.87257i | 0.691484 | + | 0.527372i | ||||
\(125\) | − | 3.87175i | − | 0.346300i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −5.00649 | −0.444254 | −0.222127 | − | 0.975018i | \(-0.571300\pi\) | ||||
−0.222127 | + | 0.975018i | \(0.571300\pi\) | |||||||
\(128\) | 7.37173 | − | 8.58240i | 0.651575 | − | 0.758584i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.588513 | − | 1.74211i | 0.0516160 | − | 0.152793i | ||||
\(131\) | 16.6424 | 1.45406 | 0.727028 | − | 0.686608i | \(-0.240901\pi\) | ||||
0.727028 | + | 0.686608i | \(0.240901\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 4.84632 | + | 3.36608i | 0.420229 | + | 0.291876i | ||||
\(134\) | 1.11477 | − | 3.29995i | 0.0963019 | − | 0.285072i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.00878993 | − | 0.0130303i | −0.000753730 | − | 0.00111734i | ||||
\(137\) | 13.3028 | 1.13653 | 0.568267 | − | 0.822844i | \(-0.307614\pi\) | ||||
0.568267 | + | 0.822844i | \(0.307614\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 14.9252 | 1.26594 | 0.632968 | − | 0.774178i | \(-0.281836\pi\) | ||||
0.632968 | + | 0.774178i | \(0.281836\pi\) | |||||||
\(140\) | 0.846585 | + | 0.645662i | 0.0715495 | + | 0.0545684i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.568089 | + | 0.191909i | 0.0476729 | + | 0.0161047i | ||||
\(143\) | 4.02046 | 0.336208 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | − | 1.98270i | − | 0.164654i | ||||||
\(146\) | 1.65068 | + | 0.557625i | 0.136611 | + | 0.0461494i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −6.74002 | − | 5.14039i | −0.554027 | − | 0.422538i | ||||
\(149\) | − | 19.2617i | − | 1.57798i | −0.614408 | − | 0.788989i | \(-0.710605\pi\) | ||
0.614408 | − | 0.788989i | \(-0.289395\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 19.3294 | 1.57300 | 0.786501 | − | 0.617589i | \(-0.211890\pi\) | ||||
0.786501 | + | 0.617589i | \(0.211890\pi\) | |||||||
\(152\) | −12.3277 | − | 0.167793i | −0.999907 | − | 0.0136098i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.745033 | + | 2.20544i | −0.0600365 | + | 0.177720i | ||||
\(155\) | − | 1.90413i | − | 0.152943i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − | 2.56382i | − | 0.204615i | −0.994753 | − | 0.102307i | \(-0.967377\pi\) | ||
0.994753 | − | 0.102307i | \(-0.0326226\pi\) | |||||||
\(158\) | −14.8738 | − | 5.02459i | −1.18329 | − | 0.399735i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −2.22084 | − | 0.129177i | −0.175573 | − | 0.0102123i | ||||
\(161\) | −0.916699 | −0.0722460 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −16.0963 | −1.26076 | −0.630378 | − | 0.776288i | \(-0.717100\pi\) | ||||
−0.630378 | + | 0.776288i | \(0.717100\pi\) | |||||||
\(164\) | 2.38615 | − | 3.12870i | 0.186327 | − | 0.244310i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −9.94775 | − | 3.36051i | −0.772096 | − | 0.260826i | ||||
\(167\) | 16.5107 | 1.27764 | 0.638818 | − | 0.769358i | \(-0.279424\pi\) | ||||
0.638818 | + | 0.769358i | \(0.279424\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.06797 | −0.159075 | ||||||||
\(170\) | −0.000989132 | 0.00292802i | −7.58629e−5 | 0.000224569i | ||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 7.31282 | + | 5.57725i | 0.557598 | + | 0.425261i | ||||
\(173\) | 13.8251 | 1.05110 | 0.525550 | − | 0.850763i | \(-0.323860\pi\) | ||||
0.525550 | + | 0.850763i | \(0.323860\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 6.55913i | 0.495823i | ||||||||
\(176\) | −1.28648 | − | 4.69069i | −0.0969717 | − | 0.353574i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 5.42244 | − | 16.0515i | 0.406429 | − | 1.20311i | ||||
\(179\) | − | 9.07865i | − | 0.678570i | −0.940684 | − | 0.339285i | \(-0.889815\pi\) | ||
0.940684 | − | 0.339285i | \(-0.110185\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −4.43828 | −0.329895 | −0.164947 | − | 0.986302i | \(-0.552745\pi\) | ||||
−0.164947 | + | 0.986302i | \(0.552745\pi\) | |||||||
\(182\) | −2.02582 | + | 5.99681i | −0.150164 | + | 0.444513i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.58786 | − | 1.07113i | 0.117058 | − | 0.0789648i | ||||
\(185\) | 1.66673i | 0.122540i | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.00675732 | −0.000494144 | ||||||||
\(188\) | −13.2712 | + | 17.4010i | −0.967898 | + | 1.26910i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1.44373 | + | 1.94741i | 0.104739 | + | 0.141280i | ||||
\(191\) | − | 10.7380i | − | 0.776976i | −0.921454 | − | 0.388488i | \(-0.872997\pi\) | ||
0.921454 | − | 0.388488i | \(-0.127003\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 24.4529i | 1.76016i | 0.474826 | + | 0.880080i | \(0.342511\pi\) | ||||
−0.474826 | + | 0.880080i | \(0.657489\pi\) | |||||||
\(194\) | 0.929836 | − | 2.75250i | 0.0667584 | − | 0.197618i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 8.21778 | + | 6.26743i | 0.586984 | + | 0.447673i | ||||
\(197\) | − | 0.602544i | − | 0.0429295i | −0.999770 | − | 0.0214647i | \(-0.993167\pi\) | ||
0.999770 | − | 0.0214647i | \(-0.00683297\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 1.82192i | − | 0.129152i | −0.997913 | − | 0.0645761i | \(-0.979430\pi\) | ||
0.997913 | − | 0.0645761i | \(-0.0205695\pi\) | |||||||
\(200\) | −7.66411 | − | 11.3614i | −0.541934 | − | 0.803370i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −3.96326 | + | 11.7320i | −0.278854 | + | 0.825462i | ||||
\(203\) | 6.82498i | 0.479020i | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.773689 | −0.0540368 | ||||||||
\(206\) | −12.8682 | − | 4.34708i | −0.896570 | − | 0.302875i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −3.49805 | − | 12.7545i | −0.242546 | − | 0.884362i | ||||
\(209\) | −3.02364 | + | 4.35328i | −0.209149 | + | 0.301123i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.00976i | 0.344886i | 0.985020 | + | 0.172443i | \(0.0551660\pi\) | ||||
−0.985020 | + | 0.172443i | \(0.944834\pi\) | |||||||
\(212\) | 7.44164 | + | 5.67549i | 0.511094 | + | 0.389794i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 3.31380 | − | 9.80948i | 0.226527 | − | 0.670563i | ||||
\(215\) | − | 1.80837i | − | 0.123330i | ||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 6.55452i | 0.444950i | ||||||||
\(218\) | 8.98061 | + | 3.03379i | 0.608244 | + | 0.205474i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.579976 | + | 0.760458i | −0.0391020 | + | 0.0512701i | ||||
\(221\) | −0.0183738 | −0.00123596 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −6.38809 | −0.427778 | −0.213889 | − | 0.976858i | \(-0.568613\pi\) | ||||
−0.213889 | + | 0.976858i | \(0.568613\pi\) | |||||||
\(224\) | 7.64474 | + | 0.444661i | 0.510786 | + | 0.0297101i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −0.924347 | + | 2.73625i | −0.0614867 | + | 0.182012i | ||||
\(227\) | − | 12.2227i | − | 0.811248i | −0.914040 | − | 0.405624i | \(-0.867054\pi\) | ||
0.914040 | − | 0.405624i | \(-0.132946\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | − | 22.2874i | − | 1.47280i | −0.676549 | − | 0.736398i | \(-0.736525\pi\) | ||
0.676549 | − | 0.736398i | \(-0.263475\pi\) | |||||||
\(230\) | −0.356805 | − | 0.120534i | −0.0235270 | − | 0.00794780i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −7.97475 | − | 11.8219i | −0.523568 | − | 0.776144i | ||||
\(233\) | −6.96654 | −0.456393 | −0.228197 | − | 0.973615i | \(-0.573283\pi\) | ||||
−0.228197 | + | 0.973615i | \(0.573283\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.30306 | 0.280700 | ||||||||
\(236\) | −11.9944 | + | 15.7269i | −0.780769 | + | 1.02374i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.00340486 | − | 0.0100790i | 0.000220704 | − | 0.000653327i | ||||
\(239\) | 9.25488i | 0.598648i | 0.954151 | + | 0.299324i | \(0.0967612\pi\) | ||||
−0.954151 | + | 0.299324i | \(0.903239\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 7.83870i | 0.504935i | 0.967605 | + | 0.252468i | \(0.0812421\pi\) | ||||
−0.967605 | + | 0.252468i | \(0.918758\pi\) | |||||||
\(242\) | 12.7570 | + | 4.30953i | 0.820053 | + | 0.277027i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 6.05686 | − | 7.94169i | 0.387751 | − | 0.508414i | ||||
\(245\) | − | 2.03216i | − | 0.129830i | ||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −8.22156 | + | 11.8370i | −0.523125 | + | 0.753170i | ||||
\(248\) | −7.65873 | − | 11.3534i | −0.486330 | − | 0.720941i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −1.75241 | + | 5.18748i | −0.110832 | + | 0.328085i | ||||
\(251\) | 8.09717 | 0.511089 | 0.255544 | − | 0.966797i | \(-0.417745\pi\) | ||||
0.255544 | + | 0.966797i | \(0.417745\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 0.823439i | − | 0.0517691i | ||||||
\(254\) | 6.70784 | + | 2.26601i | 0.420887 | + | 0.142182i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −13.7614 | + | 8.16239i | −0.860086 | + | 0.510149i | ||||
\(257\) | 4.42157i | 0.275810i | 0.990445 | + | 0.137905i | \(0.0440369\pi\) | ||||
−0.990445 | + | 0.137905i | \(0.955963\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | − | 5.73732i | − | 0.356500i | ||||||
\(260\) | −1.57701 | + | 2.06776i | −0.0978021 | + | 0.128237i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −22.2980 | − | 7.53262i | −1.37758 | − | 0.465367i | ||||
\(263\) | 0.798438i | 0.0492338i | 0.999697 | + | 0.0246169i | \(0.00783660\pi\) | ||||
−0.999697 | + | 0.0246169i | \(0.992163\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | − | 1.84023i | − | 0.113044i | ||||||
\(266\) | −4.96970 | − | 6.70349i | −0.304712 | − | 0.411017i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −2.98721 | + | 3.91680i | −0.182473 | + | 0.239257i | ||||
\(269\) | −14.3823 | −0.876903 | −0.438451 | − | 0.898755i | \(-0.644473\pi\) | ||||
−0.438451 | + | 0.898755i | \(0.644473\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 29.7531i | 1.80737i | 0.428197 | + | 0.903686i | \(0.359149\pi\) | ||||
−0.428197 | + | 0.903686i | \(0.640851\pi\) | |||||||
\(272\) | 0.00587928 | + | 0.0214368i | 0.000356484 | + | 0.00129980i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −17.8235 | − | 6.02105i | −1.07675 | − | 0.363745i | ||||
\(275\) | −5.89184 | −0.355291 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | − | 26.7252i | − | 1.60576i | −0.596138 | − | 0.802882i | \(-0.703299\pi\) | ||
0.596138 | − | 0.802882i | \(-0.296701\pi\) | |||||||
\(278\) | −19.9972 | − | 6.75536i | −1.19935 | − | 0.405159i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.842042 | − | 1.24825i | −0.0503217 | − | 0.0745974i | ||||
\(281\) | − | 9.71220i | − | 0.579381i | −0.957120 | − | 0.289690i | \(-0.906448\pi\) | ||
0.957120 | − | 0.289690i | \(-0.0935524\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −0.279927 | −0.0166399 | −0.00831995 | − | 0.999965i | \(-0.502648\pi\) | ||||
−0.00831995 | + | 0.999965i | \(0.502648\pi\) | |||||||
\(284\) | −0.674280 | − | 0.514251i | −0.0400112 | − | 0.0305152i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −5.38673 | − | 1.81972i | −0.318524 | − | 0.107602i | ||||
\(287\) | 2.66325 | 0.157206 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −17.0000 | −0.999998 | ||||||||
\(290\) | −0.897400 | + | 2.65648i | −0.0526971 | + | 0.155994i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −1.95923 | − | 1.49424i | −0.114656 | − | 0.0874440i | ||||
\(293\) | −26.6739 | −1.55831 | −0.779154 | − | 0.626833i | \(-0.784351\pi\) | ||||
−0.779154 | + | 0.626833i | \(0.784351\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 3.88908 | 0.226431 | ||||||||
\(296\) | 6.70386 | + | 9.93788i | 0.389654 | + | 0.577627i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −8.71812 | + | 25.8073i | −0.505027 | + | 1.49498i | ||||
\(299\) | − | 2.23901i | − | 0.129485i | ||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 6.22491i | 0.358798i | ||||||||
\(302\) | −25.8980 | − | 8.74877i | −1.49026 | − | 0.503435i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 16.4410 | + | 5.80451i | 0.942958 | + | 0.332911i | ||||
\(305\) | −1.96388 | −0.112452 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 18.0033i | 1.02750i | 0.857939 | + | 0.513751i | \(0.171744\pi\) | ||||
−0.857939 | + | 0.513751i | \(0.828256\pi\) | |||||||
\(308\) | 1.99643 | − | 2.61770i | 0.113757 | − | 0.149157i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.861837 | + | 2.55121i | −0.0489491 | + | 0.144899i | ||||
\(311\) | − | 19.2359i | − | 1.09077i | −0.838186 | − | 0.545385i | \(-0.816384\pi\) | ||
0.838186 | − | 0.545385i | \(-0.183616\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −20.0287 | −1.13209 | −0.566044 | − | 0.824375i | \(-0.691527\pi\) | ||||
−0.566044 | + | 0.824375i | \(0.691527\pi\) | |||||||
\(314\) | −1.16042 | + | 3.43507i | −0.0654864 | + | 0.193852i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 17.6541 | + | 13.4642i | 0.993119 | + | 0.757419i | ||||
\(317\) | −11.0972 | −0.623283 | −0.311642 | − | 0.950200i | \(-0.600879\pi\) | ||||
−0.311642 | + | 0.950200i | \(0.600879\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −6.13065 | −0.343250 | ||||||||
\(320\) | 2.91708 | + | 1.17826i | 0.163070 | + | 0.0658668i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 1.22822 | + | 0.414912i | 0.0684460 | + | 0.0231221i | ||||
\(323\) | 0.0138182 | − | 0.0198948i | 0.000768867 | − | 0.00110698i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −16.0205 | −0.888656 | ||||||||
\(326\) | 21.5662 | + | 7.28541i | 1.19444 | + | 0.403502i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −4.61313 | + | 3.11191i | −0.254718 | + | 0.171826i | ||||
\(329\) | −14.8123 | −0.816627 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 23.0048i | 1.26446i | 0.774781 | + | 0.632230i | \(0.217860\pi\) | ||||
−0.774781 | + | 0.632230i | \(0.782140\pi\) | |||||||
\(332\) | 11.8073 | + | 9.00501i | 0.648008 | + | 0.494214i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −22.1215 | − | 7.47299i | −1.21044 | − | 0.408904i | ||||
\(335\) | 0.968578 | 0.0529191 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 14.7725i | 0.804710i | 0.915484 | + | 0.402355i | \(0.131808\pi\) | ||||
−0.915484 | + | 0.402355i | \(0.868192\pi\) | |||||||
\(338\) | 2.77073 | + | 0.935995i | 0.150708 | + | 0.0509114i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.00265053 | − | 0.00347535i | 0.000143745 | − | 0.000188477i | ||||
\(341\) | −5.88770 | −0.318837 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 16.4711i | 0.889356i | ||||||||
\(344\) | −7.27358 | − | 10.7824i | −0.392165 | − | 0.581351i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −18.5232 | − | 6.25743i | −0.995813 | − | 0.336401i | ||||
\(347\) | −32.3507 | −1.73668 | −0.868338 | − | 0.495973i | \(-0.834811\pi\) | ||||
−0.868338 | + | 0.495973i | \(0.834811\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | − | 28.8848i | − | 1.54617i | −0.634303 | − | 0.773084i | \(-0.718713\pi\) | ||
0.634303 | − | 0.773084i | \(-0.281287\pi\) | |||||||
\(350\) | 2.96876 | − | 8.78810i | 0.158687 | − | 0.469744i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.399423 | + | 6.86700i | −0.0212893 | + | 0.366012i | ||||
\(353\) | 22.1629 | 1.17961 | 0.589806 | − | 0.807545i | \(-0.299204\pi\) | ||||
0.589806 | + | 0.807545i | \(0.299204\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.166741i | 0.00884971i | ||||||||
\(356\) | −14.5303 | + | 19.0519i | −0.770103 | + | 1.00975i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −4.10913 | + | 12.1638i | −0.217174 | + | 0.642878i | ||||
\(359\) | 21.0084i | 1.10878i | 0.832256 | + | 0.554391i | \(0.187049\pi\) | ||||
−0.832256 | + | 0.554391i | \(0.812951\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −6.63376 | − | 17.8043i | −0.349145 | − | 0.937069i | ||||
\(362\) | 5.94653 | + | 2.00883i | 0.312543 | + | 0.105582i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 5.42850 | − | 7.11778i | 0.284531 | − | 0.373073i | ||||
\(365\) | 0.484495i | 0.0253596i | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | − | 4.90961i | − | 0.256280i | −0.991756 | − | 0.128140i | \(-0.959099\pi\) | ||
0.991756 | − | 0.128140i | \(-0.0409007\pi\) | |||||||
\(368\) | −2.61226 | + | 0.716443i | −0.136174 | + | 0.0373472i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.754386 | − | 2.23313i | 0.0392186 | − | 0.116095i | ||||
\(371\) | 6.33456i | 0.328874i | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −16.5859 | −0.858784 | −0.429392 | − | 0.903118i | \(-0.641272\pi\) | ||||
−0.429392 | + | 0.903118i | \(0.641272\pi\) | |||||||
\(374\) | 0.00905365 | + | 0.00305846i | 0.000468153 | + | 0.000158149i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 25.6570 | − | 17.3076i | 1.32316 | − | 0.892572i | ||||
\(377\) | −16.6698 | −0.858540 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 25.6241i | − | 1.31622i | −0.752920 | − | 0.658112i | \(-0.771356\pi\) | ||
0.752920 | − | 0.658112i | \(-0.228644\pi\) | |||||||
\(380\) | −1.05292 | − | 3.26264i | −0.0540138 | − | 0.167370i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −4.86019 | + | 14.3871i | −0.248669 | + | 0.736108i | ||||
\(383\) | −24.1194 | −1.23245 | −0.616223 | − | 0.787572i | \(-0.711338\pi\) | ||||
−0.616223 | + | 0.787572i | \(0.711338\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.647326 | −0.0329908 | ||||||||
\(386\) | 11.0678 | − | 32.7627i | 0.563334 | − | 1.66758i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −2.49164 | + | 3.26701i | −0.126494 | + | 0.165857i | ||||
\(389\) | 26.1872i | 1.32774i | 0.747847 | + | 0.663871i | \(0.231087\pi\) | ||||
−0.747847 | + | 0.663871i | \(0.768913\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.00376317i | 0.000190312i | ||||||||
\(392\) | −8.17368 | − | 12.1168i | −0.412833 | − | 0.611989i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −0.272721 | + | 0.807306i | −0.0137395 | + | 0.0406715i | ||||
\(395\) | − | 4.36564i | − | 0.219659i | ||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.83861i | 0.293032i | 0.989208 | + | 0.146516i | \(0.0468059\pi\) | ||||
−0.989208 | + | 0.146516i | \(0.953194\pi\) | |||||||
\(398\) | −0.824627 | + | 2.44106i | −0.0413348 | + | 0.122359i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 5.12626 | + | 18.6912i | 0.256313 | + | 0.934559i | ||||
\(401\) | 10.8439i | 0.541519i | 0.962647 | + | 0.270759i | \(0.0872748\pi\) | ||||
−0.962647 | + | 0.270759i | \(0.912725\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −16.0092 | −0.797476 | ||||||||
\(404\) | 10.6202 | − | 13.9251i | 0.528374 | − | 0.692798i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 3.08909 | − | 9.14431i | 0.153309 | − | 0.453824i | ||||
\(407\) | 5.15364 | 0.255456 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | − | 23.8663i | − | 1.18011i | −0.807363 | − | 0.590055i | \(-0.799106\pi\) | ||
0.807363 | − | 0.590055i | \(-0.200894\pi\) | |||||||
\(410\) | 1.03661 | + | 0.350183i | 0.0511945 | + | 0.0172943i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 15.2736 | + | 11.6487i | 0.752477 | + | 0.573889i | ||||
\(413\) | −13.3872 | −0.658743 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | − | 2.91979i | − | 0.143327i | ||||||
\(416\) | −1.08607 | + | 18.6720i | −0.0532490 | + | 0.915472i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 6.02151 | − | 4.46411i | 0.294522 | − | 0.218347i | ||||
\(419\) | −10.0928 | −0.493064 | −0.246532 | − | 0.969135i | \(-0.579291\pi\) | ||||
−0.246532 | + | 0.969135i | \(0.579291\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 21.2013 | 1.03329 | 0.516645 | − | 0.856200i | \(-0.327181\pi\) | ||||
0.516645 | + | 0.856200i | \(0.327181\pi\) | |||||||
\(422\) | 2.26749 | − | 6.71221i | 0.110380 | − | 0.326745i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −7.40171 | − | 10.9724i | −0.359459 | − | 0.532866i | ||||
\(425\) | 0.0269261 | 0.00130611 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 6.76021 | 0.327150 | ||||||||
\(428\) | −8.87984 | + | 11.6431i | −0.429223 | + | 0.562793i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.818497 | + | 2.42291i | −0.0394714 | + | 0.116843i | ||||
\(431\) | 29.6252 | 1.42700 | 0.713498 | − | 0.700657i | \(-0.247110\pi\) | ||||
0.713498 | + | 0.700657i | \(0.247110\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 37.6370i | − | 1.80872i | −0.426770 | − | 0.904360i | \(-0.640349\pi\) | ||
0.426770 | − | 0.904360i | \(-0.359651\pi\) | |||||||
\(434\) | 2.96667 | − | 8.78193i | 0.142405 | − | 0.421546i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −10.6593 | − | 8.12952i | −0.510490 | − | 0.389333i | ||||
\(437\) | 2.42436 | + | 1.68387i | 0.115973 | + | 0.0805506i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −4.58779 | −0.218963 | −0.109482 | − | 0.993989i | \(-0.534919\pi\) | ||||
−0.109482 | + | 0.993989i | \(0.534919\pi\) | |||||||
\(440\) | 1.12126 | − | 0.756377i | 0.0534541 | − | 0.0360589i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.0246177 | + | 0.00831626i | 0.00117095 | + | 0.000395564i | ||||
\(443\) | 2.78642 | 0.132387 | 0.0661935 | − | 0.997807i | \(-0.478915\pi\) | ||||
0.0661935 | + | 0.997807i | \(0.478915\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 4.71131 | 0.223338 | ||||||||
\(446\) | 8.55894 | + | 2.89135i | 0.405278 | + | 0.136909i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −10.0414 | − | 4.05589i | −0.474410 | − | 0.191623i | ||||
\(449\) | 25.9258i | 1.22352i | 0.791045 | + | 0.611758i | \(0.209537\pi\) | ||||
−0.791045 | + | 0.611758i | \(0.790463\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.39230i | 0.112649i | ||||||||
\(452\) | 2.47693 | − | 3.24773i | 0.116505 | − | 0.152760i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −5.53217 | + | 16.3763i | −0.259638 | + | 0.768577i | ||||
\(455\) | −1.76014 | −0.0825167 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 11.1120 | 0.519798 | 0.259899 | − | 0.965636i | \(-0.416311\pi\) | ||||
0.259899 | + | 0.965636i | \(0.416311\pi\) | |||||||
\(458\) | −10.0876 | + | 29.8613i | −0.471364 | + | 1.39533i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.423502 | + | 0.322991i | 0.0197459 | + | 0.0150595i | ||||
\(461\) | 40.3495i | 1.87927i | 0.342185 | + | 0.939633i | \(0.388833\pi\) | ||||
−0.342185 | + | 0.939633i | \(0.611167\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 3.44187i | − | 0.159957i | −0.996797 | − | 0.0799787i | \(-0.974515\pi\) | ||
0.996797 | − | 0.0799787i | \(-0.0254852\pi\) | |||||||
\(464\) | 5.33404 | + | 19.4488i | 0.247627 | + | 0.902886i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 9.33397 | + | 3.15316i | 0.432388 | + | 0.146067i | ||||
\(467\) | 31.1938 | 1.44348 | 0.721738 | − | 0.692166i | \(-0.243344\pi\) | ||||
0.721738 | + | 0.692166i | \(0.243344\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −3.33410 | −0.153955 | ||||||||
\(470\) | −5.76535 | − | 1.94763i | −0.265936 | − | 0.0898374i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 23.1887 | − | 15.6425i | 1.06734 | − | 0.720005i | ||||
\(473\) | −5.59162 | −0.257103 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 12.0484 | − | 17.3467i | 0.552818 | − | 0.795920i | ||||
\(476\) | −0.00912384 | + | 0.0119631i | −0.000418191 | + | 0.000548327i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 4.18890 | − | 12.3999i | 0.191596 | − | 0.567160i | ||||
\(479\) | − | 0.844102i | − | 0.0385680i | −0.999814 | − | 0.0192840i | \(-0.993861\pi\) | ||
0.999814 | − | 0.0192840i | \(-0.00613867\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 14.0132 | 0.638949 | ||||||||
\(482\) | 3.54791 | − | 10.5025i | 0.161603 | − | 0.478376i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −15.1417 | − | 11.5481i | −0.688258 | − | 0.524912i | ||||
\(485\) | 0.807893 | 0.0366845 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −31.4332 | −1.42437 | −0.712186 | − | 0.701990i | \(-0.752295\pi\) | ||||
−0.712186 | + | 0.701990i | \(0.752295\pi\) | |||||||
\(488\) | −11.7097 | + | 7.89907i | −0.530072 | + | 0.357574i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.919785 | + | 2.72274i | −0.0415517 | + | 0.123001i | ||||
\(491\) | −33.2319 | −1.49974 | −0.749868 | − | 0.661588i | \(-0.769883\pi\) | ||||
−0.749868 | + | 0.661588i | \(0.769883\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.0280175 | 0.00126184 | ||||||||
\(494\) | 16.3731 | − | 12.1383i | 0.736660 | − | 0.546130i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 5.12266 | + | 18.6780i | 0.230014 | + | 0.838669i | ||||
\(497\) | − | 0.573969i | − | 0.0257460i | ||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −1.07956 | −0.0483275 | −0.0241638 | − | 0.999708i | \(-0.507692\pi\) | ||||
−0.0241638 | + | 0.999708i | \(0.507692\pi\) | |||||||
\(500\) | 4.69586 | − | 6.15717i | 0.210005 | − | 0.275357i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −10.8488 | − | 3.66490i | −0.484206 | − | 0.163573i | ||||
\(503\) | 34.2767i | 1.52832i | 0.645025 | + | 0.764162i | \(0.276847\pi\) | ||||
−0.645025 | + | 0.764162i | \(0.723153\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −3.44350 | −0.153234 | ||||||||
\(506\) | −0.372701 | + | 1.10327i | −0.0165686 | + | 0.0490462i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −7.96172 | − | 6.07214i | −0.353244 | − | 0.269407i | ||||
\(509\) | −15.7347 | −0.697429 | −0.348715 | − | 0.937229i | \(-0.613382\pi\) | ||||
−0.348715 | + | 0.937229i | \(0.613382\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | − | 1.66776i | − | 0.0737775i | ||||||
\(512\) | 22.1323 | − | 4.70759i | 0.978119 | − | 0.208048i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 2.00127 | − | 5.92415i | 0.0882722 | − | 0.261303i | ||||
\(515\) | − | 3.77698i | − | 0.166434i | ||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | − | 13.3053i | − | 0.585169i | ||||||
\(518\) | −2.59680 | + | 7.68702i | −0.114097 | + | 0.337748i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 3.04882 | − | 2.05666i | 0.133700 | − | 0.0901907i | ||||
\(521\) | − | 31.7648i | − | 1.39164i | −0.718215 | − | 0.695822i | \(-0.755040\pi\) | ||
0.718215 | − | 0.695822i | \(-0.244960\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | − | 36.2049i | − | 1.58313i | −0.611086 | − | 0.791564i | \(-0.709267\pi\) | ||
0.611086 | − | 0.791564i | \(-0.290733\pi\) | |||||||
\(524\) | 26.4661 | + | 20.1848i | 1.15618 | + | 0.881778i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0.361385 | − | 1.06977i | 0.0157571 | − | 0.0466442i | ||||
\(527\) | 0.0269072 | 0.00117210 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 22.5414 | 0.980062 | ||||||||
\(530\) | −0.832915 | + | 2.46559i | −0.0361795 | + | 0.107098i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 3.62444 | + | 11.2309i | 0.157139 | + | 0.486921i | ||||
\(533\) | 6.50490i | 0.281758i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 2.87921 | 0.124479 | ||||||||
\(536\) | 5.77516 | − | 3.89578i | 0.249449 | − | 0.168272i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 19.2698 | + | 6.50964i | 0.830779 | + | 0.280650i | ||||
\(539\) | −6.28358 | −0.270653 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 13.8419i | 0.595108i | 0.954705 | + | 0.297554i | \(0.0961708\pi\) | ||||
−0.954705 | + | 0.297554i | \(0.903829\pi\) | |||||||
\(542\) | 13.4667 | − | 39.8640i | 0.578444 | − | 1.71231i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.00182539 | − | 0.0313827i | 7.82631e−5 | − | 0.00134552i | ||||
\(545\) | 2.63593i | 0.112911i | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 12.2681i | 0.524545i | 0.964994 | + | 0.262272i | \(0.0844719\pi\) | ||||
−0.964994 | + | 0.262272i | \(0.915528\pi\) | |||||||
\(548\) | 21.1552 | + | 16.1343i | 0.903704 | + | 0.689225i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 7.89405 | + | 2.66673i | 0.336603 | + | 0.113710i | ||||
\(551\) | 12.5367 | − | 18.0498i | 0.534083 | − | 0.768946i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 15.0277i | 0.639043i | ||||||||
\(554\) | −12.0962 | + | 35.8072i | −0.513920 | + | 1.52130i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 23.7352 | + | 18.1020i | 1.00660 | + | 0.767697i | ||||
\(557\) | − | 41.7859i | − | 1.77053i | −0.465090 | − | 0.885263i | \(-0.653978\pi\) | ||
0.465090 | − | 0.885263i | \(-0.346022\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −15.2041 | −0.643067 | ||||||||
\(560\) | 0.563214 | + | 2.05357i | 0.0238001 | + | 0.0867790i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −4.39589 | + | 13.0127i | −0.185429 | + | 0.548906i | ||||
\(563\) | 5.24786i | 0.221171i | 0.993867 | + | 0.110585i | \(0.0352726\pi\) | ||||
−0.993867 | + | 0.110585i | \(0.964727\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.803124 | −0.0337877 | ||||||||
\(566\) | 0.375054 | + | 0.126699i | 0.0157647 | + | 0.00532556i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.670662 | + | 0.994197i | 0.0281403 | + | 0.0417156i | ||||
\(569\) | − | 32.6133i | − | 1.36722i | −0.729846 | − | 0.683611i | \(-0.760408\pi\) | ||
0.729846 | − | 0.683611i | \(-0.239592\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 27.2472 | 1.14026 | 0.570129 | − | 0.821555i | \(-0.306893\pi\) | ||||
0.570129 | + | 0.821555i | \(0.306893\pi\) | |||||||
\(572\) | 6.39366 | + | 4.87623i | 0.267332 | + | 0.203885i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −3.56829 | − | 1.20542i | −0.148938 | − | 0.0503135i | ||||
\(575\) | 3.28118i | 0.136835i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −13.9778 | −0.581902 | −0.290951 | − | 0.956738i | \(-0.593972\pi\) | ||||
−0.290951 | + | 0.956738i | \(0.593972\pi\) | |||||||
\(578\) | 22.7770 | + | 7.69444i | 0.947400 | + | 0.320047i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 2.40472 | − | 3.15305i | 0.0998507 | − | 0.130923i | ||||
\(581\) | 10.0507i | 0.416974i | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −5.69011 | −0.235660 | ||||||||
\(584\) | 1.94872 | + | 2.88881i | 0.0806387 | + | 0.119540i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 35.7385 | + | 12.0730i | 1.47634 | + | 0.498732i | ||||
\(587\) | −7.74807 | −0.319797 | −0.159899 | − | 0.987133i | \(-0.551117\pi\) | ||||
−0.159899 | + | 0.987133i | \(0.551117\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 12.0399 | − | 17.3345i | 0.496096 | − | 0.714255i | ||||
\(590\) | −5.21070 | − | 1.76025i | −0.214521 | − | 0.0724685i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −4.48398 | − | 16.3493i | −0.184291 | − | 0.671953i | ||||
\(593\) | 10.7668 | 0.442140 | 0.221070 | − | 0.975258i | \(-0.429045\pi\) | ||||
0.221070 | + | 0.975258i | \(0.429045\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.00295833 | 0.000121280 | ||||||||
\(596\) | 23.3616 | − | 30.6314i | 0.956927 | − | 1.25471i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −1.01341 | + | 2.99989i | −0.0414414 | + | 0.122675i | ||||
\(599\) | 17.5934 | 0.718845 | 0.359422 | − | 0.933175i | \(-0.382974\pi\) | ||||
0.359422 | + | 0.933175i | \(0.382974\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 12.6891i | − | 0.517599i | −0.965931 | − | 0.258799i | \(-0.916673\pi\) | ||
0.965931 | − | 0.258799i | \(-0.0833269\pi\) | |||||||
\(602\) | 2.81749 | − | 8.34030i | 0.114832 | − | 0.339925i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 30.7391 | + | 23.4437i | 1.25076 | + | 0.953910i | ||||
\(605\) | 3.74436i | 0.152230i | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 28.0538 | 1.13867 | 0.569334 | − | 0.822106i | \(-0.307201\pi\) | ||||
0.569334 | + | 0.822106i | \(0.307201\pi\) | |||||||
\(608\) | −19.4010 | − | 15.2185i | −0.786813 | − | 0.617192i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.63127 | + | 0.888883i | 0.106537 | + | 0.0359898i | ||||
\(611\) | − | 36.1785i | − | 1.46363i | ||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | − | 0.510517i | − | 0.0206196i | −0.999947 | − | 0.0103098i | \(-0.996718\pi\) | ||
0.999947 | − | 0.0103098i | \(-0.00328177\pi\) | |||||||
\(614\) | 8.14856 | − | 24.1213i | 0.328849 | − | 0.973457i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −3.85969 | + | 2.60365i | −0.155511 | + | 0.104904i | ||||
\(617\) | −31.9714 | −1.28712 | −0.643560 | − | 0.765396i | \(-0.722543\pi\) | ||||
−0.643560 | + | 0.765396i | \(0.722543\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 8.53505 | 0.343053 | 0.171526 | − | 0.985180i | \(-0.445130\pi\) | ||||
0.171526 | + | 0.985180i | \(0.445130\pi\) | |||||||
\(620\) | 2.30943 | − | 3.02810i | 0.0927488 | − | 0.121611i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −8.70647 | + | 25.7728i | −0.349098 | + | 1.03340i | ||||
\(623\) | −16.2176 | −0.649745 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 22.7042 | 0.908166 | ||||||||
\(626\) | 26.8350 | + | 9.06529i | 1.07254 | + | 0.362322i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 3.10953 | − | 4.07719i | 0.124084 | − | 0.162697i | ||||
\(629\) | −0.0235525 | −0.000939099 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 4.94467i | − | 0.196844i | −0.995145 | − | 0.0984221i | \(-0.968620\pi\) | ||
0.995145 | − | 0.0984221i | \(-0.0313795\pi\) | |||||||
\(632\) | −17.5593 | − | 26.0302i | −0.698473 | − | 1.03543i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 14.8684 | + | 5.02278i | 0.590499 | + | 0.199480i | ||||
\(635\) | 1.96884i | 0.0781309i | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −17.0857 | −0.676958 | ||||||||
\(638\) | 8.21401 | + | 2.77482i | 0.325196 | + | 0.109856i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −3.37509 | − | 2.89898i | −0.133412 | − | 0.114592i | ||||
\(641\) | − | 9.73828i | − | 0.384639i | −0.981332 | − | 0.192320i | \(-0.938399\pi\) | ||
0.981332 | − | 0.192320i | \(-0.0616010\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −34.7059 | −1.36867 | −0.684334 | − | 0.729168i | \(-0.739907\pi\) | ||||
−0.684334 | + | 0.729168i | \(0.739907\pi\) | |||||||
\(644\) | −1.45781 | − | 1.11182i | −0.0574456 | − | 0.0438119i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.0275188 | + | 0.0204013i | −0.00108271 | + | 0.000802678i | ||||
\(647\) | − | 15.7832i | − | 0.620502i | −0.950655 | − | 0.310251i | \(-0.899587\pi\) | ||
0.950655 | − | 0.310251i | \(-0.100413\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | − | 12.0253i | − | 0.472034i | ||||||
\(650\) | 21.4647 | + | 7.25111i | 0.841914 | + | 0.284412i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −25.5975 | − | 19.5224i | −1.00248 | − | 0.764556i | ||||
\(653\) | − | 18.6709i | − | 0.730650i | −0.930880 | − | 0.365325i | \(-0.880958\pi\) | ||
0.930880 | − | 0.365325i | \(-0.119042\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | − | 6.54475i | − | 0.255725i | ||||||
\(656\) | 7.58930 | − | 2.08145i | 0.296312 | − | 0.0812670i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 19.8459 | + | 6.70426i | 0.773674 | + | 0.261359i | ||||
\(659\) | − | 5.70895i | − | 0.222389i | −0.993799 | − | 0.111195i | \(-0.964532\pi\) | ||
0.993799 | − | 0.111195i | \(-0.0354677\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 37.3664 | 1.45338 | 0.726692 | − | 0.686963i | \(-0.241057\pi\) | ||||
0.726692 | + | 0.686963i | \(0.241057\pi\) | |||||||
\(662\) | 10.4123 | − | 30.8225i | 0.404687 | − | 1.19795i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −11.7439 | − | 17.4093i | −0.455752 | − | 0.675612i | ||||
\(665\) | 1.32374 | − | 1.90585i | 0.0513323 | − | 0.0739057i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 3.41418i | 0.132198i | ||||||||
\(668\) | 26.2566 | + | 20.0251i | 1.01590 | + | 0.774793i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −1.29773 | − | 0.438393i | −0.0501356 | − | 0.0169366i | ||||
\(671\) | 6.07247i | 0.234425i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 23.1675i | 0.893040i | 0.894774 | + | 0.446520i | \(0.147337\pi\) | ||||
−0.894774 | + | 0.446520i | \(0.852663\pi\) | |||||||
\(674\) | 6.68626 | − | 19.7926i | 0.257545 | − | 0.762384i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −3.28865 | − | 2.50814i | −0.126487 | − | 0.0964671i | ||||
\(677\) | 28.2705 | 1.08652 | 0.543262 | − | 0.839564i | \(-0.317189\pi\) | ||||
0.543262 | + | 0.839564i | \(0.317189\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −2.78098 | −0.106724 | ||||||||
\(680\) | −0.00512425 | + | 0.00345670i | −0.000196506 | + | 0.000132558i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 7.88850 | + | 2.66486i | 0.302066 | + | 0.102043i | ||||
\(683\) | − | 26.5216i | − | 1.01482i | −0.861704 | − | 0.507411i | \(-0.830603\pi\) | ||
0.861704 | − | 0.507411i | \(-0.169397\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 5.23142i | − | 0.199882i | ||||||
\(686\) | 7.45507 | − | 22.0684i | 0.284636 | − | 0.842577i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 4.86505 | + | 17.7388i | 0.185478 | + | 0.676284i | ||||
\(689\) | −15.4720 | −0.589435 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 8.53640 | 0.324740 | 0.162370 | − | 0.986730i | \(-0.448086\pi\) | ||||
0.162370 | + | 0.986730i | \(0.448086\pi\) | |||||||
\(692\) | 21.9857 | + | 16.7678i | 0.835771 | + | 0.637414i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 43.3444 | + | 14.6424i | 1.64533 | + | 0.555818i | ||||
\(695\) | − | 5.86942i | − | 0.222640i | ||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | − | 0.0109330i | − | 0.000414116i | ||||||
\(698\) | −13.0737 | + | 38.7007i | −0.494847 | + | 1.46484i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −7.95526 | + | 10.4308i | −0.300680 | + | 0.394249i | ||||
\(701\) | − | 14.2487i | − | 0.538166i | −0.963117 | − | 0.269083i | \(-0.913279\pi\) | ||
0.963117 | − | 0.269083i | \(-0.0867207\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −10.5388 | + | 15.1733i | −0.397479 | + | 0.572271i | ||||
\(704\) | 3.64327 | − | 9.01982i | 0.137311 | − | 0.339947i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −29.6945 | − | 10.0313i | −1.11757 | − | 0.377531i | ||||
\(707\) | 11.8535 | 0.445795 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 51.2166i | 1.92348i | 0.273963 | + | 0.961740i | \(0.411665\pi\) | ||||
−0.273963 | + | 0.961740i | \(0.588335\pi\) | |||||||
\(710\) | 0.0754697 | − | 0.223405i | 0.00283233 | − | 0.00838423i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 28.0913 | − | 18.9497i | 1.05276 | − | 0.710170i | ||||
\(713\) | 3.27888i | 0.122795i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | − | 1.58107i | − | 0.0591288i | ||||||
\(716\) | 11.0111 | − | 14.4376i | 0.411503 | − | 0.539558i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 9.50872 | − | 28.1477i | 0.354862 | − | 1.05046i | ||||
\(719\) | 39.4189i | 1.47008i | 0.678026 | + | 0.735038i | \(0.262836\pi\) | ||||
−0.678026 | + | 0.735038i | \(0.737164\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 13.0014i | 0.484197i | ||||||||
\(722\) | 0.829608 | + | 26.8572i | 0.0308748 | + | 0.999523i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −7.05810 | − | 5.38298i | −0.262312 | − | 0.200057i | ||||
\(725\) | 24.4290 | 0.907270 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 32.9620i | 1.22249i | 0.791440 | + | 0.611246i | \(0.209332\pi\) | ||||
−0.791440 | + | 0.611246i | \(0.790668\pi\) | |||||||
\(728\) | −10.4949 | + | 7.07959i | −0.388966 | + | 0.262387i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0.219290 | − | 0.649140i | 0.00811628 | − | 0.0240258i | ||||
\(731\) | 0.0255541 | 0.000945152 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 39.5261i | 1.45993i | 0.683485 | + | 0.729965i | \(0.260464\pi\) | ||||
−0.683485 | + | 0.729965i | \(0.739536\pi\) | |||||||
\(734\) | −2.22217 | + | 6.57804i | −0.0820216 | + | 0.242800i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 3.82426 | + | 0.222440i | 0.140964 | + | 0.00819925i | ||||
\(737\) | − | 2.99491i | − | 0.110319i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −2.89967 | −0.106666 | −0.0533330 | − | 0.998577i | \(-0.516984\pi\) | ||||
−0.0533330 | + | 0.998577i | \(0.516984\pi\) | |||||||
\(740\) | −2.02149 | + | 2.65056i | −0.0743116 | + | 0.0974366i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 2.86712 | − | 8.48722i | 0.105255 | − | 0.311576i | ||||
\(743\) | −44.8357 | −1.64486 | −0.822431 | − | 0.568865i | \(-0.807383\pi\) | ||||
−0.822431 | + | 0.568865i | \(0.807383\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −7.57478 | −0.277519 | ||||||||
\(746\) | 22.2222 | + | 7.50702i | 0.813614 | + | 0.274851i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −0.0107460 | − | 0.00819563i | −0.000392914 | − | 0.000299662i | ||||
\(749\) | −9.91101 | −0.362141 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 19.9481 | 0.727918 | 0.363959 | − | 0.931415i | \(-0.381425\pi\) | ||||
0.363959 | + | 0.931415i | \(0.381425\pi\) | |||||||
\(752\) | −42.2097 | + | 11.5765i | −1.53923 | + | 0.422151i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 22.3347 | + | 7.54501i | 0.813382 | + | 0.274773i | ||||
\(755\) | − | 7.60141i | − | 0.276644i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 24.8537i | 0.903322i | 0.892190 | + | 0.451661i | \(0.149168\pi\) | ||||
−0.892190 | + | 0.451661i | \(0.850832\pi\) | |||||||
\(758\) | −11.5979 | + | 34.3319i | −0.421253 | + | 1.24699i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.0659856 | + | 4.84795i | −0.00239355 | + | 0.175854i | ||||
\(761\) | 29.7493 | 1.07841 | 0.539206 | − | 0.842174i | \(-0.318725\pi\) | ||||
0.539206 | + | 0.842174i | \(0.318725\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | − | 9.07356i | − | 0.328485i | ||||||
\(764\) | 13.0236 | − | 17.0765i | 0.471179 | − | 0.617804i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 32.3159 | + | 10.9168i | 1.16762 | + | 0.394441i | ||||
\(767\) | − | 32.6980i | − | 1.18065i | ||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −17.7979 | −0.641809 | −0.320905 | − | 0.947112i | \(-0.603987\pi\) | ||||
−0.320905 | + | 0.947112i | \(0.603987\pi\) | |||||||
\(770\) | 0.867306 | + | 0.292989i | 0.0312555 | + | 0.0105586i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −29.6578 | + | 38.8870i | −1.06741 | + | 1.39957i | ||||
\(773\) | −2.50404 | −0.0900641 | −0.0450320 | − | 0.998986i | \(-0.514339\pi\) | ||||
−0.0450320 | + | 0.998986i | \(0.514339\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 23.4609 | 0.842741 | ||||||||
\(776\) | 4.81707 | − | 3.24948i | 0.172923 | − | 0.116650i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 11.8527 | − | 35.0863i | 0.424940 | − | 1.25790i | ||||
\(779\) | −7.04338 | − | 4.89208i | −0.252355 | − | 0.175277i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.515576 | 0.0184488 | ||||||||
\(782\) | 0.00170327 | − | 0.00504201i | 6.09088e−5 | − | 0.000180302i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 5.46710 | + | 19.9339i | 0.195254 | + | 0.711926i | ||||
\(785\) | −1.00824 | −0.0359856 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 48.3385i | 1.72308i | 0.507689 | + | 0.861540i | \(0.330500\pi\) | ||||
−0.507689 | + | 0.861540i | \(0.669500\pi\) | |||||||
\(788\) | 0.730797 | − | 0.958213i | 0.0260336 | − | 0.0341349i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −1.97595 | + | 5.84921i | −0.0703013 | + | 0.208105i | ||||
\(791\) | 2.76457 | 0.0982967 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 16.5116i | 0.586345i | ||||||||
\(794\) | 2.64264 | − | 7.82274i | 0.0937839 | − | 0.277619i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 2.20972 | − | 2.89736i | 0.0783214 | − | 0.102694i | ||||
\(797\) | −4.38865 | −0.155454 | −0.0777271 | − | 0.996975i | \(-0.524766\pi\) | ||||
−0.0777271 | + | 0.996975i | \(0.524766\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.0608064i | 0.00215118i | ||||||||
\(800\) | 1.59160 | − | 27.3632i | 0.0562714 | − | 0.967435i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 4.90811 | − | 14.5290i | 0.173312 | − | 0.513036i | ||||
\(803\) | 1.49809 | 0.0528666 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.360498i | 0.0127059i | ||||||||
\(806\) | 21.4496 | + | 7.24602i | 0.755530 | + | 0.255230i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −20.5319 | + | 13.8503i | −0.722310 | + | 0.487253i | ||||
\(809\) | 1.71674 | 0.0603574 | 0.0301787 | − | 0.999545i | \(-0.490392\pi\) | ||||
0.0301787 | + | 0.999545i | \(0.490392\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 39.8836i | − | 1.40050i | −0.713897 | − | 0.700251i | \(-0.753072\pi\) | ||
0.713897 | − | 0.700251i | \(-0.246928\pi\) | |||||||
\(812\) | −8.27770 | + | 10.8536i | −0.290490 | + | 0.380888i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −6.90499 | − | 2.33261i | −0.242020 | − | 0.0817580i | ||||
\(815\) | 6.32997i | 0.221729i | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 11.4345 | − | 16.4628i | 0.400041 | − | 0.575959i | ||||
\(818\) | −10.8022 | + | 31.9767i | −0.377691 | + | 1.11804i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −1.23038 | − | 0.938371i | −0.0429668 | − | 0.0327693i | ||||
\(821\) | 21.5429i | 0.751853i | 0.926650 | + | 0.375926i | \(0.122675\pi\) | ||||
−0.926650 | + | 0.375926i | \(0.877325\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | − | 51.4146i | − | 1.79220i | −0.443852 | − | 0.896100i | \(-0.646388\pi\) | ||
0.443852 | − | 0.896100i | \(-0.353612\pi\) | |||||||
\(824\) | −15.1917 | − | 22.5203i | −0.529227 | − | 0.784532i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 17.9366 | + | 6.05927i | 0.624094 | + | 0.210829i | ||||
\(827\) | 28.1995i | 0.980592i | 0.871556 | + | 0.490296i | \(0.163111\pi\) | ||||
−0.871556 | + | 0.490296i | \(0.836889\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −56.6258 | −1.96670 | −0.983348 | − | 0.181734i | \(-0.941829\pi\) | ||||
−0.983348 | + | 0.181734i | \(0.941829\pi\) | |||||||
\(830\) | −1.32154 | + | 3.91202i | −0.0458714 | + | 0.135788i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 9.90640 | − | 24.5258i | 0.343443 | − | 0.850278i | ||||
\(833\) | 0.0287164 | 0.000994964 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | − | 6.49295i | − | 0.224698i | ||||||
\(836\) | −10.0883 | + | 3.25571i | −0.348912 | + | 0.112601i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 13.5226 | + | 4.56814i | 0.467130 | + | 0.157804i | ||||
\(839\) | −12.4990 | −0.431513 | −0.215756 | − | 0.976447i | \(-0.569222\pi\) | ||||
−0.215756 | + | 0.976447i | \(0.569222\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −3.58083 | −0.123477 | ||||||||
\(842\) | −28.4061 | − | 9.59604i | −0.978940 | − | 0.330701i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −6.07610 | + | 7.96691i | −0.209148 | + | 0.274232i | ||||
\(845\) | 0.813244i | 0.0279764i | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | − | 12.8891i | − | 0.442874i | ||||||
\(848\) | 4.95075 | + | 18.0512i | 0.170009 | + | 0.619882i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −0.0360764 | − | 0.0121872i | −0.00123741 | − | 0.000418016i | ||||
\(851\) | − | 2.87008i | − | 0.0983850i | ||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 32.9738i | 1.12900i | 0.825433 | + | 0.564500i | \(0.190931\pi\) | ||||
−0.825433 | + | 0.564500i | \(0.809069\pi\) | |||||||
\(854\) | −9.05753 | − | 3.05977i | −0.309942 | − | 0.104703i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 17.1673 | − | 11.5807i | 0.586767 | − | 0.395819i | ||||
\(857\) | − | 32.4358i | − | 1.10799i | −0.832521 | − | 0.553993i | \(-0.813103\pi\) | ||
0.832521 | − | 0.553993i | \(-0.186897\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 18.7433 | 0.639514 | 0.319757 | − | 0.947500i | \(-0.396399\pi\) | ||||
0.319757 | + | 0.947500i | \(0.396399\pi\) | |||||||
\(860\) | 2.19329 | − | 2.87582i | 0.0747906 | − | 0.0980646i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −39.6927 | − | 13.4088i | −1.35194 | − | 0.456706i | ||||
\(863\) | −29.2455 | −0.995529 | −0.497765 | − | 0.867312i | \(-0.665846\pi\) | ||||
−0.497765 | + | 0.867312i | \(0.665846\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | − | 5.43680i | − | 0.184857i | ||||||
\(866\) | −17.0351 | + | 50.4271i | −0.578876 | + | 1.71358i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −7.94967 | + | 10.4235i | −0.269829 | + | 0.353797i | ||||
\(869\) | −13.4989 | −0.457918 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − | 8.14345i | − | 0.275930i | ||||||
\(872\) | 10.6021 | + | 15.7167i | 0.359034 | + | 0.532236i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −2.48608 | − | 3.35340i | −0.0840928 | − | 0.113431i | ||||
\(875\) | 5.24117 | 0.177184 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 29.1471 | 0.984229 | 0.492114 | − | 0.870531i | \(-0.336224\pi\) | ||||
0.492114 | + | 0.870531i | \(0.336224\pi\) | |||||||
\(878\) | 6.14685 | + | 2.07650i | 0.207446 | + | 0.0700786i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −1.84465 | + | 0.505915i | −0.0621831 | + | 0.0170544i | ||||
\(881\) | 9.86763 | 0.332449 | 0.166224 | − | 0.986088i | \(-0.446842\pi\) | ||||
0.166224 | + | 0.986088i | \(0.446842\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −45.5997 | −1.53455 | −0.767276 | − | 0.641317i | \(-0.778388\pi\) | ||||
−0.767276 | + | 0.641317i | \(0.778388\pi\) | |||||||
\(884\) | −0.0292195 | − | 0.0222847i | −0.000982758 | − | 0.000749516i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −3.73333 | − | 1.26118i | −0.125424 | − | 0.0423701i | ||||
\(887\) | 5.88747 | 0.197682 | 0.0988410 | − | 0.995103i | \(-0.468486\pi\) | ||||
0.0988410 | + | 0.995103i | \(0.468486\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | − | 6.77726i | − | 0.227302i | ||||||
\(890\) | −6.31235 | − | 2.13241i | −0.211591 | − | 0.0714786i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −10.1588 | − | 7.74781i | −0.340143 | − | 0.259416i | ||||
\(893\) | 39.1734 | + | 27.2085i | 1.31089 | + | 0.910497i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −3.57024 | −0.119340 | ||||||||
\(896\) | 11.6180 | + | 9.97908i | 0.388129 | + | 0.333378i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 11.7344 | − | 34.7362i | 0.391583 | − | 1.15916i | ||||
\(899\) | 24.4118 | 0.814181 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0.0260042 | 0.000866326 | ||||||||
\(902\) | 1.08279 | − | 3.20527i | 0.0360530 | − | 0.106724i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −4.78864 | + | 3.23030i | −0.159268 | + | 0.107438i | ||||
\(905\) | 1.74538i | 0.0580185i | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 32.4697i | 1.07814i | 0.842261 | + | 0.539069i | \(0.181224\pi\) | ||||
−0.842261 | + | 0.539069i | \(0.818776\pi\) | |||||||
\(908\) | 14.8243 | − | 19.4375i | 0.491962 | − | 0.645055i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 2.35829 | + | 0.796667i | 0.0781765 | + | 0.0264092i | ||||
\(911\) | −22.2375 | −0.736760 | −0.368380 | − | 0.929675i | \(-0.620087\pi\) | ||||
−0.368380 | + | 0.929675i | \(0.620087\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −9.02821 | −0.298790 | ||||||||
\(914\) | −14.8882 | − | 5.02947i | −0.492458 | − | 0.166360i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 27.0314 | − | 35.4433i | 0.893142 | − | 1.17108i | ||||
\(917\) | 22.5288i | 0.743966i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 1.82361i | 0.0601553i | 0.999548 | + | 0.0300776i | \(0.00957546\pi\) | ||||
−0.999548 | + | 0.0300776i | \(0.990425\pi\) | |||||||
\(920\) | −0.421229 | − | 0.624435i | −0.0138875 | − | 0.0205870i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 18.2628 | − | 54.0614i | 0.601453 | − | 1.78042i | ||||
\(923\) | 1.40190 | 0.0461441 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −20.5359 | −0.675215 | ||||||||
\(926\) | −1.55784 | + | 4.61152i | −0.0511939 | + | 0.151544i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 1.65611 | − | 28.4723i | 0.0543644 | − | 0.934648i | ||||
\(929\) | 48.0824 | 1.57753 | 0.788767 | − | 0.614693i | \(-0.210720\pi\) | ||||
0.788767 | + | 0.614693i | \(0.210720\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 12.8495 | − | 18.5000i | 0.421124 | − | 0.606314i | ||||
\(932\) | −11.0787 | − | 8.44939i | −0.362896 | − | 0.276769i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −41.7943 | − | 14.1188i | −1.36755 | − | 0.461980i | ||||
\(935\) | 0.00265736i | 8.69050e-5i | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 12.8423 | 0.419540 | 0.209770 | − | 0.977751i | \(-0.432728\pi\) | ||||
0.209770 | + | 0.977751i | \(0.432728\pi\) | |||||||
\(938\) | 4.46713 | + | 1.50907i | 0.145857 | + | 0.0492727i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 6.84306 | + | 5.21897i | 0.223196 | + | 0.170224i | ||||
\(941\) | 4.78698 | 0.156051 | 0.0780256 | − | 0.996951i | \(-0.475138\pi\) | ||||
0.0780256 | + | 0.996951i | \(0.475138\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 1.33228 | 0.0433850 | ||||||||
\(944\) | −38.1489 | + | 10.4628i | −1.24164 | + | 0.340534i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 7.49181 | + | 2.53085i | 0.243580 | + | 0.0822850i | ||||
\(947\) | 26.3364 | 0.855817 | 0.427908 | − | 0.903822i | \(-0.359251\pi\) | ||||
0.427908 | + | 0.903822i | \(0.359251\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 4.07346 | 0.132230 | ||||||||
\(950\) | −23.9941 | + | 17.7883i | −0.778472 | + | 0.577128i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0.0176391 | − | 0.0118989i | 0.000571685 | − | 0.000385645i | ||||
\(953\) | − | 50.7687i | − | 1.64456i | −0.569084 | − | 0.822279i | \(-0.692702\pi\) | ||
0.569084 | − | 0.822279i | \(-0.307298\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −4.22280 | −0.136647 | ||||||||
\(956\) | −11.2248 | + | 14.7178i | −0.363036 | + | 0.476009i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −0.382053 | + | 1.13095i | −0.0123436 | + | 0.0365394i | ||||
\(959\) | 18.0079i | 0.581507i | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −7.55556 | −0.243728 | ||||||||
\(962\) | −18.7753 | − | 6.34260i | −0.605341 | − | 0.204494i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −9.50719 | + | 12.4657i | −0.306206 | + | 0.401494i | ||||
\(965\) | 9.61628 | 0.309559 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 49.0390i | − | 1.57699i | −0.615042 | − | 0.788494i | \(-0.710861\pi\) | ||
0.615042 | − | 0.788494i | \(-0.289139\pi\) | |||||||
\(968\) | 15.0604 | + | 22.3258i | 0.484060 | + | 0.717577i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −1.08244 | − | 0.365665i | −0.0347550 | − | 0.0117408i | ||||
\(971\) | 22.1251i | 0.710027i | 0.934861 | + | 0.355013i | \(0.115524\pi\) | ||||
−0.934861 | + | 0.355013i | \(0.884476\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 20.2041i | 0.647715i | ||||||||
\(974\) | 42.1150 | + | 14.2271i | 1.34945 | + | 0.455866i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 19.2642 | − | 5.28342i | 0.616632 | − | 0.169118i | ||||
\(977\) | 45.0576i | 1.44152i | 0.693184 | + | 0.720761i | \(0.256207\pi\) | ||||
−0.693184 | + | 0.720761i | \(0.743793\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | − | 14.5677i | − | 0.465586i | ||||||
\(980\) | 2.46471 | − | 3.23170i | 0.0787322 | − | 0.103233i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 44.5251 | + | 15.0413i | 1.42085 | + | 0.479986i | ||||
\(983\) | −58.9765 | −1.88106 | −0.940529 | − | 0.339713i | \(-0.889670\pi\) | ||||
−0.940529 | + | 0.339713i | \(0.889670\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −0.236955 | −0.00755000 | ||||||||
\(986\) | −0.0375386 | − | 0.0126811i | −0.00119547 | − | 0.000403850i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −27.4311 | + | 8.85259i | −0.872700 | + | 0.281638i | ||||
\(989\) | 3.11399i | 0.0990192i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −36.9320 | −1.17318 | −0.586592 | − | 0.809882i | \(-0.699531\pi\) | ||||
−0.586592 | + | 0.809882i | \(0.699531\pi\) | |||||||
\(992\) | 1.59048 | − | 27.3440i | 0.0504977 | − | 0.868172i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −0.259787 | + | 0.769019i | −0.00823994 | + | 0.0243918i | ||||
\(995\) | −0.716481 | −0.0227140 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 34.0903i | 1.07965i | 0.841777 | + | 0.539825i | \(0.181510\pi\) | ||||
−0.841777 | + | 0.539825i | \(0.818490\pi\) | |||||||
\(998\) | 1.44642 | + | 0.488623i | 0.0457856 | + | 0.0154671i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 1368.2.e.g.379.5 | 40 | ||
3.2 | odd | 2 | 456.2.e.a.379.36 | yes | 40 | ||
4.3 | odd | 2 | 5472.2.e.g.5167.31 | 40 | |||
8.3 | odd | 2 | inner | 1368.2.e.g.379.35 | 40 | ||
8.5 | even | 2 | 5472.2.e.g.5167.16 | 40 | |||
12.11 | even | 2 | 1824.2.e.a.1519.25 | 40 | |||
19.18 | odd | 2 | inner | 1368.2.e.g.379.36 | 40 | ||
24.5 | odd | 2 | 1824.2.e.a.1519.9 | 40 | |||
24.11 | even | 2 | 456.2.e.a.379.6 | yes | 40 | ||
57.56 | even | 2 | 456.2.e.a.379.5 | ✓ | 40 | ||
76.75 | even | 2 | 5472.2.e.g.5167.15 | 40 | |||
152.37 | odd | 2 | 5472.2.e.g.5167.32 | 40 | |||
152.75 | even | 2 | inner | 1368.2.e.g.379.6 | 40 | ||
228.227 | odd | 2 | 1824.2.e.a.1519.10 | 40 | |||
456.227 | odd | 2 | 456.2.e.a.379.35 | yes | 40 | ||
456.341 | even | 2 | 1824.2.e.a.1519.26 | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
456.2.e.a.379.5 | ✓ | 40 | 57.56 | even | 2 | ||
456.2.e.a.379.6 | yes | 40 | 24.11 | even | 2 | ||
456.2.e.a.379.35 | yes | 40 | 456.227 | odd | 2 | ||
456.2.e.a.379.36 | yes | 40 | 3.2 | odd | 2 | ||
1368.2.e.g.379.5 | 40 | 1.1 | even | 1 | trivial | ||
1368.2.e.g.379.6 | 40 | 152.75 | even | 2 | inner | ||
1368.2.e.g.379.35 | 40 | 8.3 | odd | 2 | inner | ||
1368.2.e.g.379.36 | 40 | 19.18 | odd | 2 | inner | ||
1824.2.e.a.1519.9 | 40 | 24.5 | odd | 2 | |||
1824.2.e.a.1519.10 | 40 | 228.227 | odd | 2 | |||
1824.2.e.a.1519.25 | 40 | 12.11 | even | 2 | |||
1824.2.e.a.1519.26 | 40 | 456.341 | even | 2 | |||
5472.2.e.g.5167.15 | 40 | 76.75 | even | 2 | |||
5472.2.e.g.5167.16 | 40 | 8.5 | even | 2 | |||
5472.2.e.g.5167.31 | 40 | 4.3 | odd | 2 | |||
5472.2.e.g.5167.32 | 40 | 152.37 | odd | 2 |