Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(5,756)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(756, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 5, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.ck (of order \(18\), degree \(6\), 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: | \(6.03669039281\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 5.17 | ||
Character | \(\chi\) | \(=\) | 756.5 |
Dual form | 756.2.ck.a.605.17 |
$q$-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 \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{5}{18}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) |
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 | 0 | ||||||||
\(3\) | 1.06196 | − | 1.36830i | 0.613125 | − | 0.789986i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.449866 | − | 2.55131i | 0.201186 | − | 1.14098i | −0.702144 | − | 0.712035i | \(-0.747774\pi\) |
0.903330 | − | 0.428947i | \(-0.141115\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.53584 | − | 0.754675i | −0.958456 | − | 0.285240i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.744465 | − | 2.90616i | −0.248155 | − | 0.968720i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.32853 | − | 0.586909i | 1.00359 | − | 0.176960i | 0.352379 | − | 0.935857i | \(-0.385373\pi\) |
0.651210 | + | 0.758898i | \(0.274262\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.718420 | + | 0.856180i | −0.199254 | + | 0.237462i | −0.856414 | − | 0.516289i | \(-0.827313\pi\) |
0.657160 | + | 0.753751i | \(0.271757\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −3.01321 | − | 3.32495i | −0.778008 | − | 0.858499i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −2.35421 | −0.570981 | −0.285490 | − | 0.958382i | \(-0.592156\pi\) | ||||
−0.285490 | + | 0.958382i | \(0.592156\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | − | 0.116725i | − | 0.0267786i | −0.999910 | − | 0.0133893i | \(-0.995738\pi\) | ||
0.999910 | − | 0.0133893i | \(-0.00426208\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −3.72559 | + | 2.66833i | −0.812989 | + | 0.582278i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.0811022 | + | 0.0966538i | −0.0169110 | + | 0.0201537i | −0.774434 | − | 0.632655i | \(-0.781965\pi\) |
0.757523 | + | 0.652809i | \(0.226410\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.60836 | − | 0.585397i | −0.321673 | − | 0.117079i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −4.76708 | − | 2.06759i | −0.917425 | − | 0.397908i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.74633 | − | 2.08119i | −0.324285 | − | 0.386468i | 0.579130 | − | 0.815235i | \(-0.303392\pi\) |
−0.903415 | + | 0.428767i | \(0.858948\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.400779 | + | 1.10113i | 0.0719821 | + | 0.197769i | 0.970466 | − | 0.241237i | \(-0.0775530\pi\) |
−0.898484 | + | 0.439006i | \(0.855331\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 2.73171 | − | 5.17769i | 0.475530 | − | 0.901319i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −3.06620 | + | 6.13021i | −0.518282 | + | 1.03620i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −5.12795 | − | 8.88188i | −0.843031 | − | 1.46017i | −0.887321 | − | 0.461153i | \(-0.847436\pi\) |
0.0442901 | − | 0.999019i | \(-0.485897\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.408570 | + | 1.89224i | 0.0654236 | + | 0.303001i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 2.53395 | + | 2.12623i | 0.395736 | + | 0.332062i | 0.818843 | − | 0.574018i | \(-0.194616\pi\) |
−0.423107 | + | 0.906080i | \(0.639060\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.39884 | − | 0.873106i | −0.365819 | − | 0.133147i | 0.152569 | − | 0.988293i | \(-0.451245\pi\) |
−0.518388 | + | 0.855146i | \(0.673468\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −7.74944 | + | 0.591981i | −1.15522 | + | 0.0882474i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 7.71339 | + | 2.80744i | 1.12511 | + | 0.409508i | 0.836516 | − | 0.547943i | \(-0.184589\pi\) |
0.288597 | + | 0.957451i | \(0.406811\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.86093 | + | 3.82747i | 0.837276 | + | 0.546781i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −2.50009 | + | 3.22126i | −0.350083 | + | 0.451067i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −8.17694 | + | 4.72096i | −1.12319 | + | 0.648473i | −0.942213 | − | 0.335014i | \(-0.891259\pi\) |
−0.180976 | + | 0.983488i | \(0.557925\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 8.75615i | − | 1.18068i | ||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.159715 | − | 0.123958i | −0.0211547 | − | 0.0164187i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 6.49318 | + | 5.44842i | 0.845340 | + | 0.709324i | 0.958758 | − | 0.284223i | \(-0.0917357\pi\) |
−0.113419 | + | 0.993547i | \(0.536180\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.60136 | − | 4.39971i | 0.205033 | − | 0.563325i | −0.793970 | − | 0.607957i | \(-0.791989\pi\) |
0.999003 | + | 0.0446321i | \(0.0142115\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.305368 | + | 7.93138i | −0.0384728 | + | 0.999260i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 1.86119 | + | 2.21808i | 0.230852 | + | 0.275119i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.57661 | − | 8.94138i | 0.192613 | − | 1.09236i | −0.723164 | − | 0.690677i | \(-0.757313\pi\) |
0.915777 | − | 0.401687i | \(-0.131576\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0.0461234 | + | 0.213615i | 0.00555260 | + | 0.0257162i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 7.05686 | + | 4.07428i | 0.837495 | + | 0.483528i | 0.856412 | − | 0.516293i | \(-0.172688\pi\) |
−0.0189167 | + | 0.999821i | \(0.506022\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 9.72113 | + | 5.61250i | 1.13777 | + | 0.656893i | 0.945878 | − | 0.324523i | \(-0.105204\pi\) |
0.191894 | + | 0.981416i | \(0.438537\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −2.50902 | + | 1.57905i | −0.289717 | + | 0.182333i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −8.88353 | − | 1.02365i | −1.01237 | − | 0.116656i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.45450 | − | 13.9202i | −0.276153 | − | 1.56614i | −0.735275 | − | 0.677769i | \(-0.762947\pi\) |
0.459122 | − | 0.888373i | \(-0.348164\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −7.89155 | + | 4.32707i | −0.876838 | + | 0.480785i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 9.54729 | − | 8.01113i | 1.04795 | − | 0.879336i | 0.0550746 | − | 0.998482i | \(-0.482460\pi\) |
0.992877 | + | 0.119147i | \(0.0380159\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.05908 | + | 6.00634i | −0.114873 | + | 0.651479i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −4.70223 | + | 0.179341i | −0.504132 | + | 0.0192273i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −0.407850 | −0.0432321 | −0.0216160 | − | 0.999766i | \(-0.506881\pi\) | ||||
−0.0216160 | + | 0.999766i | \(0.506881\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.46793 | − | 1.62896i | 0.258710 | − | 0.170761i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 1.93229 | + | 0.620978i | 0.200369 | + | 0.0643925i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −0.297803 | − | 0.0525107i | −0.0305540 | − | 0.00538749i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.76618 | − | 7.60002i | 0.280863 | − | 0.771665i | −0.716397 | − | 0.697693i | \(-0.754210\pi\) |
0.997260 | − | 0.0739724i | \(-0.0235677\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −4.18362 | − | 9.23631i | −0.420470 | − | 0.928284i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −8.69458 | + | 7.29562i | −0.865143 | + | 0.725941i | −0.963070 | − | 0.269252i | \(-0.913223\pi\) |
0.0979265 | + | 0.995194i | \(0.468779\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 15.4152 | + | 2.71812i | 1.51891 | + | 0.267824i | 0.870003 | − | 0.493047i | \(-0.164117\pi\) |
0.648903 | + | 0.760871i | \(0.275228\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 5.13175 | + | 10.7055i | 0.500807 | + | 1.04475i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −6.44745 | − | 3.72244i | −0.623298 | − | 0.359862i | 0.154854 | − | 0.987937i | \(-0.450509\pi\) |
−0.778152 | + | 0.628076i | \(0.783843\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −8.47513 | − | 14.6794i | −0.811770 | − | 1.40603i | −0.911624 | − | 0.411025i | \(-0.865171\pi\) |
0.0998542 | − | 0.995002i | \(-0.468162\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −17.5987 | − | 2.41568i | −1.67040 | − | 0.229286i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 0.327903 | + | 0.900905i | 0.0308465 | + | 0.0847500i | 0.954160 | − | 0.299297i | \(-0.0967522\pi\) |
−0.923313 | + | 0.384047i | \(0.874530\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.210109 | + | 0.250398i | 0.0195928 | + | 0.0233498i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 3.02303 | + | 1.45045i | 0.279480 | + | 0.134094i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 5.96990 | + | 1.77667i | 0.547260 | + | 0.162867i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.398017 | − | 0.144866i | 0.0361834 | − | 0.0131697i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 5.60028 | − | 1.20920i | 0.504960 | − | 0.109030i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 4.25960 | − | 7.37785i | 0.380990 | − | 0.659895i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.30393 | + | 3.99052i | 0.204441 | + | 0.354102i | 0.949954 | − | 0.312389i | \(-0.101129\pi\) |
−0.745514 | + | 0.666490i | \(0.767796\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −3.74215 | + | 2.35511i | −0.329478 | + | 0.207356i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 15.6483 | + | 13.1305i | 1.36720 | + | 1.14721i | 0.973686 | + | 0.227895i | \(0.0731843\pi\) |
0.393512 | + | 0.919320i | \(0.371260\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.0880897 | + | 0.295996i | −0.00763835 | + | 0.0256661i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −7.41962 | + | 11.2322i | −0.638579 | + | 0.966713i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 4.84629 | − | 13.3151i | 0.414046 | − | 1.13758i | −0.540973 | − | 0.841040i | \(-0.681944\pi\) |
0.955019 | − | 0.296543i | \(-0.0958339\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 18.1091 | + | 3.19312i | 1.53599 | + | 0.270837i | 0.876696 | − | 0.481045i | \(-0.159743\pi\) |
0.659298 | + | 0.751882i | \(0.270854\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 12.0327 | − | 7.57279i | 1.01334 | − | 0.637744i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −1.88878 | + | 3.27147i | −0.157948 | + | 0.273574i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −6.09539 | + | 3.51918i | −0.506195 | + | 0.292252i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 11.4612 | − | 3.95485i | 0.945304 | − | 0.326191i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 6.37358 | + | 17.5113i | 0.522144 | + | 1.43458i | 0.868129 | + | 0.496338i | \(0.165322\pi\) |
−0.345985 | + | 0.938240i | \(0.612455\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.85223 | + | 10.5045i | 0.150733 | + | 0.854847i | 0.962584 | + | 0.270983i | \(0.0873487\pi\) |
−0.811852 | + | 0.583864i | \(0.801540\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 1.75263 | + | 6.84172i | 0.141692 | + | 0.553121i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 2.98963 | − | 0.527153i | 0.240133 | − | 0.0423419i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3.30641 | − | 3.94043i | 0.263881 | − | 0.314481i | −0.617793 | − | 0.786341i | \(-0.711973\pi\) |
0.881673 | + | 0.471860i | \(0.156417\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −2.22395 | + | 16.2020i | −0.176371 | + | 1.28490i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0.278604 | − | 0.183892i | 0.0219571 | − | 0.0144928i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.26560 | − | 2.19209i | 0.0991296 | − | 0.171697i | −0.812195 | − | 0.583386i | \(-0.801727\pi\) |
0.911325 | + | 0.411689i | \(0.135061\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −11.9810 | − | 9.29872i | −0.932720 | − | 0.723904i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −6.21832 | + | 2.26328i | −0.481188 | + | 0.175138i | −0.571214 | − | 0.820801i | \(-0.693527\pi\) |
0.0900259 | + | 0.995939i | \(0.471305\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 2.04051 | + | 11.5723i | 0.156962 | + | 0.890177i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.339223 | + | 0.0868979i | −0.0259410 | + | 0.00664525i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −8.20343 | + | 6.88349i | −0.623695 | + | 0.523342i | −0.898963 | − | 0.438025i | \(-0.855678\pi\) |
0.275267 | + | 0.961368i | \(0.411234\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 3.63676 | + | 2.69826i | 0.274914 | + | 0.203970i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 14.3506 | − | 3.09855i | 1.07866 | − | 0.232902i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 4.62241i | 0.345495i | 0.984966 | + | 0.172748i | \(0.0552645\pi\) | ||||
−0.984966 | + | 0.172748i | \(0.944735\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 9.48331 | − | 5.47519i | 0.704889 | − | 0.406968i | −0.104277 | − | 0.994548i | \(-0.533253\pi\) |
0.809166 | + | 0.587580i | \(0.199919\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −4.31951 | − | 6.86347i | −0.319307 | − | 0.507362i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −24.9674 | + | 9.08737i | −1.83564 | + | 0.668117i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −7.83607 | + | 1.38171i | −0.573030 | + | 0.101041i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 10.5282 | + | 8.84067i | 0.765812 | + | 0.643064i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 19.4111 | − | 3.42270i | 1.40454 | − | 0.247658i | 0.580532 | − | 0.814237i | \(-0.302845\pi\) |
0.824007 | + | 0.566579i | \(0.191733\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −20.8024 | + | 7.57147i | −1.49739 | + | 0.545006i | −0.955384 | − | 0.295367i | \(-0.904558\pi\) |
−0.542008 | + | 0.840373i | \(0.682336\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 5.01151 | − | 0.191137i | 0.358882 | − | 0.0136876i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 1.74551 | − | 1.00777i | 0.124363 | − | 0.0718008i | −0.436528 | − | 0.899691i | \(-0.643792\pi\) |
0.560891 | + | 0.827890i | \(0.310459\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 3.72542i | 0.264088i | 0.991244 | + | 0.132044i | \(0.0421540\pi\) | ||||
−0.991244 | + | 0.132044i | \(0.957846\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −10.5602 | − | 11.6527i | −0.744856 | − | 0.821917i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 2.85778 | + | 6.59548i | 0.200577 | + | 0.462912i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 6.56463 | − | 5.50838i | 0.458493 | − | 0.384722i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0.341269 | + | 0.163741i | 0.0237199 | + | 0.0113808i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −0.0685072 | − | 0.388524i | −0.00473874 | − | 0.0268747i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.81139 | − | 1.75120i | 0.331229 | − | 0.120558i | −0.171052 | − | 0.985262i | \(-0.554717\pi\) |
0.502281 | + | 0.864704i | \(0.332494\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 13.0690 | − | 5.32913i | 0.895470 | − | 0.365146i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −3.30672 | + | 5.72741i | −0.225517 | + | 0.390606i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.185313 | − | 3.09475i | −0.0125799 | − | 0.210085i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 18.0030 | − | 7.34111i | 1.21653 | − | 0.496066i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 1.69131 | − | 2.01563i | 0.113770 | − | 0.135586i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −23.3657 | + | 4.12001i | −1.56468 | + | 0.275896i | −0.887812 | − | 0.460205i | \(-0.847776\pi\) |
−0.676871 | + | 0.736101i | \(0.736665\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −0.503887 | + | 5.10997i | −0.0335925 | + | 0.340665i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 3.55971 | + | 20.1881i | 0.236266 | + | 1.33993i | 0.839931 | + | 0.542693i | \(0.182595\pi\) |
−0.603665 | + | 0.797238i | \(0.706294\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −6.76544 | − | 18.5879i | −0.447073 | − | 1.22832i | −0.934752 | − | 0.355300i | \(-0.884379\pi\) |
0.487679 | − | 0.873023i | \(-0.337844\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −10.8346 | + | 11.0682i | −0.712867 | + | 0.728235i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 15.2011 | − | 8.77638i | 0.995859 | − | 0.574959i | 0.0888386 | − | 0.996046i | \(-0.471684\pi\) |
0.907020 | + | 0.421087i | \(0.138351\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 10.6327 | − | 18.4163i | 0.693598 | − | 1.20135i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −21.6535 | − | 11.4242i | −1.40655 | − | 0.742084i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 17.9853 | + | 3.17130i | 1.16337 | + | 0.205134i | 0.721807 | − | 0.692095i | \(-0.243312\pi\) |
0.441566 | + | 0.897229i | \(0.354423\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −5.56206 | + | 15.2816i | −0.358284 | + | 0.984377i | 0.621341 | + | 0.783541i | \(0.286588\pi\) |
−0.979625 | + | 0.200837i | \(0.935634\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −2.45983 | + | 15.3932i | −0.157798 | + | 0.987471i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 12.4017 | − | 13.2312i | 0.792316 | − | 0.845312i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.0999379 | + | 0.0838578i | 0.00635890 | + | 0.00533575i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −0.822710 | − | 21.5710i | −0.0521371 | − | 1.36701i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −3.28698 | − | 5.69321i | −0.207472 | − | 0.359352i | 0.743445 | − | 0.668797i | \(-0.233190\pi\) |
−0.950918 | + | 0.309444i | \(0.899857\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.213224 | + | 0.369315i | −0.0134053 | + | 0.0232186i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 7.09374 | + | 7.82765i | 0.444227 | + | 0.490187i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 15.3134 | − | 5.57362i | 0.955224 | − | 0.347673i | 0.183064 | − | 0.983101i | \(-0.441398\pi\) |
0.772160 | + | 0.635428i | \(0.219176\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 6.30072 | + | 26.3929i | 0.391508 | + | 1.63998i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −4.74820 | + | 6.62449i | −0.293906 | + | 0.410046i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 3.67048 | + | 4.37430i | 0.226331 | + | 0.269731i | 0.867245 | − | 0.497882i | \(-0.165889\pi\) |
−0.640914 | + | 0.767613i | \(0.721444\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 8.36612 | + | 22.9857i | 0.513927 | + | 1.41200i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −0.433122 | + | 0.558060i | −0.0265067 | + | 0.0341527i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −12.6846 | − | 21.9703i | −0.773392 | − | 1.33955i | −0.935694 | − | 0.352813i | \(-0.885225\pi\) |
0.162302 | − | 0.986741i | \(-0.448108\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 2.95607 | + | 1.70669i | 0.179568 | + | 0.103674i | 0.587090 | − | 0.809522i | \(-0.300274\pi\) |
−0.407521 | + | 0.913196i | \(0.633607\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0.391962 | − | 5.10676i | 0.0237226 | − | 0.309075i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −5.69706 | − | 1.00455i | −0.343546 | − | 0.0605764i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −16.4067 | + | 13.7669i | −0.985784 | + | 0.827171i | −0.984952 | − | 0.172829i | \(-0.944709\pi\) |
−0.000832089 | 1.00000i | \(0.500265\pi\) | ||||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 2.90170 | − | 1.98448i | 0.173720 | − | 0.118808i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −2.04388 | + | 5.61551i | −0.121928 | + | 0.334993i | −0.985608 | − | 0.169046i | \(-0.945931\pi\) |
0.863680 | + | 0.504040i | \(0.168153\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −5.29351 | − | 0.933388i | −0.314666 | − | 0.0554842i | 0.0140846 | − | 0.999901i | \(-0.495517\pi\) |
−0.328751 | + | 0.944417i | \(0.606628\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −0.388106 | + | 0.351718i | −0.0229894 | + | 0.0208340i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −4.82106 | − | 7.30409i | −0.284578 | − | 0.431147i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −11.4577 | −0.673981 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −7.46149 | − | 11.8559i | −0.437400 | − | 0.695005i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −4.55335 | + | 25.8233i | −0.266010 | + | 1.50862i | 0.500135 | + | 0.865948i | \(0.333284\pi\) |
−0.766144 | + | 0.642668i | \(0.777827\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 16.8217 | − | 14.1151i | 0.979397 | − | 0.821812i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −17.0809 | − | 4.08419i | −0.991132 | − | 0.236989i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −0.0244876 | − | 0.138876i | −0.00141615 | − | 0.00803141i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 5.42415 | + | 4.02440i | 0.312643 | + | 0.231962i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0.749230 | + | 19.6444i | 0.0430421 | + | 1.12854i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −10.5046 | − | 6.06486i | −0.601494 | − | 0.347273i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 10.1398 | + | 5.85419i | 0.578707 | + | 0.334116i | 0.760619 | − | 0.649198i | \(-0.224895\pi\) |
−0.181913 | + | 0.983315i | \(0.558229\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 20.0896 | − | 18.2060i | 1.14286 | − | 1.03570i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −1.85672 | + | 10.5300i | −0.105285 | + | 0.597100i | 0.885821 | + | 0.464027i | \(0.153596\pi\) |
−0.991106 | + | 0.133074i | \(0.957515\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1.63919 | + | 1.95351i | 0.0926523 | + | 0.110419i | 0.810379 | − | 0.585907i | \(-0.199262\pi\) |
−0.717726 | + | 0.696325i | \(0.754817\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 20.0981 | + | 4.34714i | 1.13240 | + | 0.244934i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 5.30604 | − | 14.5782i | 0.298017 | − | 0.818795i | −0.696814 | − | 0.717252i | \(-0.745400\pi\) |
0.994831 | − | 0.101543i | \(-0.0323780\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −7.03418 | − | 5.90237i | −0.393838 | − | 0.330470i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −11.9404 | + | 4.86892i | −0.666446 | + | 0.271757i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0.274796i | 0.0152901i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 1.65669 | − | 0.956488i | 0.0918964 | − | 0.0530564i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −29.0860 | − | 3.99247i | −1.60846 | − | 0.220784i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −17.4412 | − | 12.9403i | −0.961563 | − | 0.713423i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −22.6410 | − | 8.24065i | −1.24446 | − | 0.452947i | −0.365936 | − | 0.930640i | \(-0.619251\pi\) |
−0.878527 | + | 0.477693i | \(0.841473\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −21.9946 | + | 21.5149i | −1.20530 | + | 1.17901i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −22.1030 | − | 8.04484i | −1.20762 | − | 0.439537i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −10.1610 | − | 8.52606i | −0.553503 | − | 0.464444i | 0.322622 | − | 0.946528i | \(-0.395436\pi\) |
−0.876125 | + | 0.482084i | \(0.839880\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 1.58092 | + | 0.508061i | 0.0858641 | + | 0.0275941i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 1.98027 | + | 3.42993i | 0.107238 | + | 0.185741i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −11.9739 | − | 14.1289i | −0.646528 | − | 0.762890i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0.565747 | − | 0.0215773i | 0.0304588 | − | 0.00116169i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 2.30205 | + | 6.32484i | 0.123581 | + | 0.339535i | 0.986020 | − | 0.166625i | \(-0.0532868\pi\) |
−0.862440 | + | 0.506160i | \(0.831065\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1.49276 | − | 1.77900i | −0.0799055 | − | 0.0952277i | 0.724611 | − | 0.689159i | \(-0.242020\pi\) |
−0.804516 | + | 0.593931i | \(0.797575\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 5.19500 | − | 2.59608i | 0.277288 | − | 0.138568i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −10.1311 | − | 3.68740i | −0.539221 | − | 0.196261i | 0.0580297 | − | 0.998315i | \(-0.481518\pi\) |
−0.597251 | + | 0.802054i | \(0.703740\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 13.5694 | − | 16.1714i | 0.720190 | − | 0.858289i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 8.77083 | − | 6.28183i | 0.464201 | − | 0.332470i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | − | 27.3379i | − | 1.44284i | −0.692497 | − | 0.721421i | \(-0.743489\pi\) | ||
0.692497 | − | 0.721421i | \(-0.256511\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 18.9864 | 0.999283 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0.224460 | − | 0.698448i | 0.0117811 | − | 0.0366590i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 18.6924 | − | 22.2768i | 0.978407 | − | 1.16602i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −28.5523 | + | 5.03454i | −1.49042 | + | 0.262801i | −0.858732 | − | 0.512424i | \(-0.828748\pi\) |
−0.631685 | + | 0.775225i | \(0.717636\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 4.29274 | − | 8.94696i | 0.223471 | − | 0.465760i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 24.2982 | − | 5.80064i | 1.26150 | − | 0.301154i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −3.02012 | + | 17.1280i | −0.156376 | + | 0.886852i | 0.801141 | + | 0.598476i | \(0.204227\pi\) |
−0.957517 | + | 0.288377i | \(0.906884\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −5.57153 | − | 13.6634i | −0.287713 | − | 0.705575i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 3.03647 | 0.156386 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 19.8221 | 1.01819 | 0.509097 | − | 0.860709i | \(-0.329980\pi\) | ||||
0.509097 | + | 0.860709i | \(0.329980\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 7.90690 | + | 1.08534i | 0.405083 | + | 0.0556034i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −2.13848 | + | 12.1279i | −0.109271 | + | 0.619707i | 0.880157 | + | 0.474683i | \(0.157437\pi\) |
−0.989428 | + | 0.145024i | \(0.953674\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −6.60805 | + | 22.2042i | −0.336778 | + | 1.13163i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −0.751536 | + | 7.62141i | −0.0382027 | + | 0.387418i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −10.0836 | + | 1.77801i | −0.511257 | + | 0.0901484i | −0.423325 | − | 0.905978i | \(-0.639137\pi\) |
−0.0879325 | + | 0.996126i | \(0.528026\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.190932 | − | 0.227544i | 0.00965584 | − | 0.0115074i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 34.5843 | − | 7.46739i | 1.74455 | − | 0.376680i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −36.6189 | −1.84250 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 33.0450i | − | 1.65848i | −0.558892 | − | 0.829240i | \(-0.688773\pi\) | ||
0.558892 | − | 0.829240i | \(-0.311227\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0.311462 | + | 0.434870i | 0.0155926 | + | 0.0217707i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 1.12919 | − | 1.34572i | 0.0563892 | − | 0.0672020i | −0.737113 | − | 0.675770i | \(-0.763811\pi\) |
0.793502 | + | 0.608568i | \(0.208256\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.23070 | − | 0.447936i | −0.0613053 | − | 0.0223133i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 7.48958 | + | 22.0804i | 0.372160 | + | 1.09718i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −22.2814 | − | 26.5539i | −1.10445 | − | 1.31623i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 3.23082 | + | 8.87661i | 0.159754 | + | 0.438920i | 0.993583 | − | 0.113102i | \(-0.0360786\pi\) |
−0.833829 | + | 0.552022i | \(0.813856\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −13.0724 | − | 20.7713i | −0.644812 | − | 1.02457i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −12.3538 | − | 18.7165i | −0.607893 | − | 0.920981i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −16.1439 | − | 27.9621i | −0.792473 | − | 1.37260i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 23.6004 | − | 21.3876i | 1.15571 | − | 1.04736i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −5.84407 | − | 4.90375i | −0.285501 | − | 0.239564i | 0.488778 | − | 0.872408i | \(-0.337443\pi\) |
−0.774279 | + | 0.632844i | \(0.781887\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −7.26865 | − | 2.64557i | −0.354252 | − | 0.128937i | 0.158763 | − | 0.987317i | \(-0.449249\pi\) |
−0.513015 | + | 0.858379i | \(0.671472\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 2.41654 | − | 24.5064i | 0.117496 | − | 1.19154i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 3.78643 | + | 1.37815i | 0.183669 | + | 0.0668501i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −7.38114 | + | 9.94843i | −0.357199 | + | 0.481438i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 2.47051 | + | 6.05859i | 0.119277 | + | 0.292511i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −32.2999 | + | 18.6484i | −1.55583 | + | 0.898260i | −0.558183 | + | 0.829718i | \(0.688501\pi\) |
−0.997648 | + | 0.0685418i | \(0.978165\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 11.0883i | − | 0.532870i | −0.963853 | − | 0.266435i | \(-0.914154\pi\) | ||
0.963853 | − | 0.266435i | \(-0.0858458\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.65782 | + | 12.0775i | −0.0794862 | + | 0.579074i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 0.0112819 | + | 0.00946668i | 0.000539689 | + | 0.000452853i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 9.22473 | − | 25.3447i | 0.440272 | − | 1.20964i | −0.499041 | − | 0.866578i | \(-0.666314\pi\) |
0.939313 | − | 0.343060i | \(-0.111464\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 6.75998 | − | 19.8822i | 0.321904 | − | 0.946772i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −25.6317 | − | 30.5467i | −1.21780 | − | 1.45132i | −0.854346 | − | 0.519705i | \(-0.826042\pi\) |
−0.363454 | − | 0.931612i | \(-0.618403\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.183478 | + | 1.04055i | −0.00869768 | + | 0.0493270i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 30.7291 | + | 9.87539i | 1.45344 | + | 0.467090i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −1.95937 | − | 1.13124i | −0.0924682 | − | 0.0533865i | 0.453053 | − | 0.891484i | \(-0.350335\pi\) |
−0.545521 | + | 0.838097i | \(0.683668\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 9.68222 | + | 5.59003i | 0.455918 | + | 0.263224i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 16.3403 | + | 8.62104i | 0.767735 | + | 0.405052i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −3.04575 | − | 7.02929i | −0.142787 | − | 0.329538i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 3.51406 | + | 19.9292i | 0.164381 | + | 0.932250i | 0.949700 | + | 0.313160i | \(0.101388\pi\) |
−0.785320 | + | 0.619091i | \(0.787501\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 11.2227 | + | 4.86755i | 0.523832 | + | 0.227198i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 8.26907 | − | 6.93857i | 0.385129 | − | 0.323162i | −0.429583 | − | 0.903027i | \(-0.641339\pi\) |
0.814712 | + | 0.579866i | \(0.196895\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −3.86641 | + | 21.9275i | −0.179687 | + | 1.01906i | 0.752906 | + | 0.658128i | \(0.228651\pi\) |
−0.932593 | + | 0.360929i | \(0.882460\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 2.45358 | − | 4.65052i | 0.113782 | − | 0.215663i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −1.50943 | −0.0698481 | −0.0349241 | − | 0.999390i | \(-0.511119\pi\) | ||||
−0.0349241 | + | 0.999390i | \(0.511119\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −10.7459 | + | 21.4841i | −0.496198 | + | 0.992041i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −1.88038 | − | 8.70875i | −0.0866434 | − | 0.401278i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −8.49703 | − | 1.49826i | −0.390694 | − | 0.0688899i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.0683306 | + | 0.187737i | −0.00313523 | + | 0.00861396i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 19.8073 | + | 20.2489i | 0.906914 | + | 0.927134i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −9.83065 | + | 8.24890i | −0.449174 | + | 0.376902i | −0.839129 | − | 0.543932i | \(-0.816935\pi\) |
0.389955 | + | 0.920834i | \(0.372490\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 11.2885 | + | 1.99047i | 0.514712 | + | 0.0907576i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0.0442484 | − | 0.576500i | 0.00201337 | − | 0.0262316i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −18.1456 | − | 10.4764i | −0.823951 | − | 0.475708i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −11.2032 | − | 19.4046i | −0.507667 | − | 0.879306i | −0.999961 | − | 0.00887634i | \(-0.997175\pi\) |
0.492293 | − | 0.870429i | \(-0.336159\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −1.65540 | − | 4.05963i | −0.0748597 | − | 0.183583i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 1.86210 | + | 5.11607i | 0.0840353 | + | 0.230885i | 0.974592 | − | 0.223987i | \(-0.0719073\pi\) |
−0.890557 | + | 0.454872i | \(0.849685\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 4.11123 | + | 4.89957i | 0.185161 | + | 0.220666i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −25.4468 | + | 6.51864i | −1.14375 | + | 0.292991i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −14.8203 | − | 15.6573i | −0.664781 | − | 0.702328i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −14.3904 | + | 5.23768i | −0.644203 | + | 0.234471i | −0.643401 | − | 0.765529i | \(-0.722477\pi\) |
−0.000801335 | 1.00000i | \(0.500255\pi\) | ||||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −3.50679 | + | 10.9120i | −0.156672 | + | 0.487513i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −5.37147 | + | 9.30366i | −0.239502 | + | 0.414830i | −0.960572 | − | 0.278033i | \(-0.910318\pi\) |
0.721069 | + | 0.692863i | \(0.243651\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 14.7020 | + | 25.4647i | 0.654232 | + | 1.13316i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 18.0013 | + | 9.49735i | 0.799465 | + | 0.421792i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 10.4319 | + | 8.75343i | 0.462387 | + | 0.387989i | 0.844008 | − | 0.536330i | \(-0.180190\pi\) |
−0.381621 | + | 0.924319i | \(0.624634\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −20.4156 | − | 21.5687i | −0.903132 | − | 0.954142i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −0.241340 | + | 0.556439i | −0.0106554 | + | 0.0245674i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 13.8696 | − | 38.1063i | 0.611165 | − | 1.67916i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 27.3219 | + | 4.81759i | 1.20162 | + | 0.211878i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0.706906 | + | 18.5347i | 0.0310297 | + | 0.813585i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 7.64859 | − | 13.2477i | 0.335091 | − | 0.580394i | −0.648412 | − | 0.761290i | \(-0.724566\pi\) |
0.983502 | + | 0.180896i | \(0.0578997\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −12.1121 | + | 6.99294i | −0.529626 | + | 0.305780i | −0.740864 | − | 0.671655i | \(-0.765584\pi\) |
0.211238 | + | 0.977435i | \(0.432250\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 7.55413 | − | 2.11071i | 0.329689 | − | 0.0921189i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −0.943520 | − | 2.59230i | −0.0411004 | − | 0.112922i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3.99114 | + | 22.6349i | 0.173528 | + | 0.984126i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 11.0001 | − | 22.9264i | 0.477362 | − | 0.994920i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −3.64088 | + | 0.641985i | −0.157704 | + | 0.0278074i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −12.3976 | + | 14.7749i | −0.535995 | + | 0.638774i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 6.32483 | + | 4.90884i | 0.272936 | + | 0.211832i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 21.7546 | + | 9.29999i | 0.937039 | + | 0.400579i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −16.0626 | + | 27.8212i | −0.690583 | + | 1.19613i | 0.281064 | + | 0.959689i | \(0.409313\pi\) |
−0.971647 | + | 0.236436i | \(0.924021\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 2.57926 | − | 18.7904i | 0.110686 | − | 0.806375i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −41.2643 | + | 15.0190i | −1.76757 | + | 0.643343i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −4.13424 | − | 23.4464i | −0.176767 | − | 1.00250i | −0.936084 | − | 0.351776i | \(-0.885578\pi\) |
0.759317 | − | 0.650721i | \(-0.225533\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −13.9784 | − | 1.37839i | −0.596584 | − | 0.0588283i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −0.242928 | + | 0.203841i | −0.0103491 | + | 0.00868391i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −4.28100 | + | 37.1516i | −0.182046 | + | 1.57985i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −14.0802 | + | 43.8132i | −0.597672 | + | 1.85977i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 9.33194i | 0.395407i | 0.980262 | + | 0.197703i | \(0.0633483\pi\) | ||||
−0.980262 | + | 0.197703i | \(0.936652\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 2.47091 | − | 1.42658i | 0.104508 | − | 0.0603379i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −6.43103 | + | 12.1894i | −0.271518 | + | 0.514636i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 30.5263 | − | 11.1107i | 1.28653 | − | 0.468259i | 0.393943 | − | 0.919135i | \(-0.371111\pi\) |
0.892586 | + | 0.450876i | \(0.148888\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 2.44600 | − | 0.431297i | 0.102904 | − | 0.0181448i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 23.2772 | − | 5.01718i | 0.977550 | − | 0.210702i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 40.1659 | − | 7.08232i | 1.68384 | − | 0.296906i | 0.751835 | − | 0.659351i | \(-0.229169\pi\) |
0.932005 | + | 0.362445i | \(0.118058\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 31.1702 | − | 11.3450i | 1.30443 | − | 0.474775i | 0.405995 | − | 0.913875i | \(-0.366925\pi\) |
0.898438 | + | 0.439101i | \(0.144703\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 15.9306 | − | 30.1949i | 0.665512 | − | 1.26141i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0.187023 | − | 0.107978i | 0.00779939 | − | 0.00450298i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 43.1437i | 1.79609i | 0.439899 | + | 0.898047i | \(0.355014\pi\) | ||||
−0.439899 | + | 0.898047i | \(0.644986\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −11.7314 | + | 36.5045i | −0.487542 | + | 1.51708i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −30.2562 | + | 13.1098i | −1.25524 | + | 0.543886i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −24.4464 | + | 20.5130i | −1.01247 | + | 0.849560i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 5.06051 | − | 7.06021i | 0.209226 | − | 0.291904i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 7.44234 | + | 42.2076i | 0.307178 | + | 1.74209i | 0.613070 | + | 0.790028i | \(0.289934\pi\) |
−0.305892 | + | 0.952066i | \(0.598955\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.128530 | − | 0.0467811i | 0.00529599 | − | 0.00192758i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0.474742 | − | 3.45859i | 0.0195283 | − | 0.142268i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 2.95663 | − | 5.12102i | 0.121414 | − | 0.210295i | −0.798911 | − | 0.601449i | \(-0.794590\pi\) |
0.920326 | + | 0.391153i | \(0.127924\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 7.21849 | − | 14.4318i | 0.295929 | − | 0.591647i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 5.09747 | + | 3.95626i | 0.208626 | + | 0.161919i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 16.5465 | − | 19.7193i | 0.676070 | − | 0.805709i | −0.313527 | − | 0.949579i | \(-0.601511\pi\) |
0.989596 | + | 0.143871i | \(0.0459550\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −19.3751 | + | 3.41635i | −0.790325 | + | 0.139356i | −0.554218 | − | 0.832371i | \(-0.686983\pi\) |
−0.236107 | + | 0.971727i | \(0.575872\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −27.1588 | + | 2.07467i | −1.10599 | + | 0.0844870i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −0.190546 | − | 1.08064i | −0.00774678 | − | 0.0439342i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 4.38614 | + | 12.0508i | 0.178028 | + | 0.489128i | 0.996324 | − | 0.0856697i | \(-0.0273030\pi\) |
−0.818296 | + | 0.574798i | \(0.805081\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 12.0594 | + | 3.09388i | 0.488672 | + | 0.125370i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −7.94513 | + | 4.58712i | −0.321425 | + | 0.185575i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −15.1423 | + | 26.2273i | −0.611594 | + | 1.05931i | 0.379378 | + | 0.925242i | \(0.376138\pi\) |
−0.990972 | + | 0.134070i | \(0.957195\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −0.565687 | − | 14.8320i | −0.0228107 | − | 0.598086i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −33.7970 | − | 5.95933i | −1.36062 | − | 0.239913i | −0.554753 | − | 0.832015i | \(-0.687187\pi\) |
−0.805863 | + | 0.592101i | \(0.798298\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −7.36707 | + | 20.2409i | −0.296107 | + | 0.813548i | 0.699034 | + | 0.715089i | \(0.253614\pi\) |
−0.995141 | + | 0.0984597i | \(0.968608\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0.586461 | − | 0.293070i | 0.0235339 | − | 0.0117605i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 1.03424 | + | 0.307795i | 0.0414360 | + | 0.0123315i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −23.4627 | − | 19.6876i | −0.938509 | − | 0.787502i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −0.604367 | − | 0.318860i | −0.0241361 | − | 0.0127340i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 12.0723 | + | 20.9098i | 0.481354 | + | 0.833730i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 9.15885 | − | 15.8636i | 0.364608 | − | 0.631520i | −0.624105 | − | 0.781340i | \(-0.714536\pi\) |
0.988713 | + | 0.149821i | \(0.0478697\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 2.71336 | − | 8.44311i | 0.107846 | − | 0.335583i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 11.2175 | − | 4.08285i | 0.445154 | − | 0.162023i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −7.48761 | + | 2.26828i | −0.296670 | + | 0.0898726i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 6.58693 | − | 23.5415i | 0.260575 | − | 0.931289i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 26.4237 | + | 31.4905i | 1.04367 | + | 1.24380i | 0.969121 | + | 0.246584i | \(0.0793080\pi\) |
0.0745514 | + | 0.997217i | \(0.476248\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 14.5325 | + | 39.9277i | 0.573105 | + | 1.57459i | 0.799569 | + | 0.600574i | \(0.205061\pi\) |
−0.226464 | + | 0.974020i | \(0.572716\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 4.32517 | + | 10.6069i | 0.170303 | + | 0.417645i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 2.03413 | + | 3.52322i | 0.0799700 | + | 0.138512i | 0.903237 | − | 0.429143i | \(-0.141184\pi\) |
−0.823267 | + | 0.567655i | \(0.807851\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 24.8104 | + | 14.3243i | 0.973895 | + | 0.562279i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −4.43133 | − | 3.03295i | −0.173677 | − | 0.118871i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 30.6601 | + | 5.40620i | 1.19982 | + | 0.211561i | 0.737622 | − | 0.675214i | \(-0.235949\pi\) |
0.462201 | + | 0.886775i | \(0.347060\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 40.5396 | − | 34.0168i | 1.58401 | − | 1.32914i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 9.07378 | − | 32.4295i | 0.354002 | − | 1.26519i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −8.48007 | + | 23.2988i | −0.330337 | + | 0.907593i | 0.657687 | + | 0.753291i | \(0.271535\pi\) |
−0.988024 | + | 0.154302i | \(0.950687\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 30.1409 | + | 5.31465i | 1.17234 | + | 0.206716i | 0.725710 | − | 0.688001i | \(-0.241511\pi\) |
0.446634 | + | 0.894717i | \(0.352623\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −0.961862 | − | 4.45474i | −0.0373556 | − | 0.173008i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0.715551 | + | 0.357903i | 0.0277479 | + | 0.0138789i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.342786 | 0.0132727 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −19.1762 | + | 36.3465i | −0.741393 | + | 1.40524i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 2.74795 | − | 15.5844i | 0.106083 | − | 0.601629i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 4.44436 | − | 3.72926i | 0.171317 | − | 0.143752i | −0.553098 | − | 0.833116i | \(-0.686554\pi\) |
0.724415 | + | 0.689364i | \(0.242110\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 6.45684 | + | 6.11608i | 0.248524 | + | 0.235408i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −6.28158 | − | 35.6246i | −0.241421 | − | 1.36917i | −0.828660 | − | 0.559752i | \(-0.810896\pi\) |
0.587239 | − | 0.809413i | \(-0.300215\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −12.7501 | + | 17.1848i | −0.489305 | + | 0.659493i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 31.4036 | + | 16.5683i | 1.20339 | + | 0.634899i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −23.1494 | − | 13.3653i | −0.885788 | − | 0.511410i | −0.0132254 | − | 0.999913i | \(-0.504210\pi\) |
−0.872562 | + | 0.488503i | \(0.837543\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −31.7908 | − | 18.3544i | −1.21466 | − | 0.701286i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −32.6184 | − | 10.4826i | −1.24447 | − | 0.399935i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 1.83249 | − | 10.3926i | 0.0698122 | − | 0.395925i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −16.7330 | − | 19.9416i | −0.636553 | − | 0.758615i | 0.347268 | − | 0.937766i | \(-0.387109\pi\) |
−0.983822 | + | 0.179151i | \(0.942665\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 3.63857 | + | 26.5790i | 0.138218 | + | 1.00965i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 16.2933 | − | 44.7655i | 0.618041 | − | 1.69805i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −5.96545 | − | 5.00561i | −0.225958 | − | 0.189601i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 4.13438 | − | 30.1198i | 0.156377 | − | 1.13924i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 22.3146i | 0.842809i | 0.906873 | + | 0.421405i | \(0.138463\pi\) | ||||
−0.906873 | + | 0.421405i | \(0.861537\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −1.03674 | + | 0.598562i | −0.0391014 | + | 0.0225752i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −13.9074 | − | 34.1061i | −0.523785 | − | 1.28451i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 27.5539 | − | 11.9389i | 1.03627 | − | 0.449009i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 5.43860 | + | 1.97949i | 0.204251 | + | 0.0743412i | 0.442120 | − | 0.896956i | \(-0.354227\pi\) |
−0.237869 | + | 0.971297i | \(0.576449\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −38.6270 | + | 17.4963i | −1.44862 | + | 0.656161i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −0.138933 | − | 0.0505674i | −0.00520307 | − | 0.00189376i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 7.49684 | + | 6.29060i | 0.280366 | + | 0.235255i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 23.4390 | − | 21.2414i | 0.875346 | − | 0.793275i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 26.2658 | + | 45.4937i | 0.979548 | + | 1.69663i | 0.664026 | + | 0.747709i | \(0.268846\pi\) |
0.315522 | + | 0.948918i | \(0.397820\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −37.0392 | − | 18.5262i | −1.37941 | − | 0.689951i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 15.0031 | + | 23.8391i | 0.557971 | + | 0.886586i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 1.59041 | + | 4.36961i | 0.0590663 | + | 0.162283i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −12.3912 | − | 14.7672i | −0.459563 | − | 0.547686i | 0.485645 | − | 0.874156i | \(-0.338585\pi\) |
−0.945207 | + | 0.326471i | \(0.894141\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 18.4501 | + | 19.7128i | 0.683338 | + | 0.730102i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 5.64738 | + | 2.05548i | 0.208876 | + | 0.0760246i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 25.2536 | − | 30.0960i | 0.932762 | − | 1.11162i | −0.0607798 | − | 0.998151i | \(-0.519359\pi\) |
0.993541 | − | 0.113471i | \(-0.0361968\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −4.93407 | − | 31.0203i | −0.181996 | − | 1.14420i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | − | 30.6870i | − | 1.13037i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 13.0679 | 0.480710 | 0.240355 | − | 0.970685i | \(-0.422736\pi\) | ||||
0.240355 | + | 0.970685i | \(0.422736\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.220873 | − | 0.0476905i | 0.00811396 | − | 0.00175196i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −3.14402 | + | 3.74690i | −0.115343 | + | 0.137460i | −0.820626 | − | 0.571465i | \(-0.806375\pi\) |
0.705284 | + | 0.708925i | \(0.250820\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 47.5440 | − | 8.38329i | 1.74188 | − | 0.307140i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −30.3892 | − | 21.7820i | −1.11188 | − | 0.796960i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 13.5404 | + | 14.3052i | 0.494757 | + | 0.522701i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 3.51062 | − | 19.9097i | 0.128104 | − | 0.726516i | −0.851311 | − | 0.524661i | \(-0.824192\pi\) |
0.979415 | − | 0.201855i | \(-0.0646969\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −11.2806 | − | 1.54843i | −0.411090 | − | 0.0564280i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 27.6336 | 1.00569 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −38.4613 | −1.39790 | −0.698950 | − | 0.715171i | \(-0.746349\pi\) | ||||
−0.698950 | + | 0.715171i | \(0.746349\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0.278895 | + | 0.683952i | 0.0101233 | + | 0.0248259i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −6.92697 | + | 39.2848i | −0.251102 | + | 1.42407i | 0.554780 | + | 0.831997i | \(0.312802\pi\) |
−0.805883 | + | 0.592075i | \(0.798309\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 10.4134 | + | 43.6204i | 0.376990 | + | 1.57916i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 18.2438 | − | 1.39365i | 0.659607 | − | 0.0503875i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −9.32966 | + | 1.64507i | −0.336874 | + | 0.0594000i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −12.0209 | + | 14.3260i | −0.433486 | + | 0.516609i | −0.937925 | − | 0.346839i | \(-0.887255\pi\) |
0.504438 | + | 0.863448i | \(0.331700\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 8.63592 | − | 26.8723i | 0.311015 | − | 0.967780i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −8.57951 | −0.308583 | −0.154292 | − | 0.988025i | \(-0.549310\pi\) | ||||
−0.154292 | + | 0.988025i | \(0.549310\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | − | 2.00564i | − | 0.0720446i | ||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 42.8045 | + | 19.4071i | 1.53560 | + | 0.696226i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 0.248185 | − | 0.295776i | 0.00889216 | − | 0.0105973i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 25.8802 | + | 9.41962i | 0.926066 | + | 0.337061i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 4.02183 | + | 13.5319i | 0.143729 | + | 0.483591i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −8.56584 | − | 10.2084i | −0.305728 | − | 0.364352i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −3.88872 | − | 10.6842i | −0.138618 | − | 0.380849i | 0.850887 | − | 0.525349i | \(-0.176065\pi\) |
−0.989505 | + | 0.144499i | \(0.953843\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 9.88325 | − | 0.376943i | 0.351853 | − | 0.0134195i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −0.151616 | − | 2.53201i | −0.00539086 | − | 0.0900278i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 2.61649 | + | 4.53189i | 0.0929143 | + | 0.160932i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 40.3358 | + | 12.9627i | 1.43056 | + | 0.459739i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 11.9873 | + | 10.0585i | 0.424611 | + | 0.356291i | 0.829914 | − | 0.557891i | \(-0.188389\pi\) |
−0.405303 | + | 0.914183i | \(0.632834\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −18.1590 | − | 6.60932i | −0.642418 | − | 0.233821i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0.303630 | + | 1.18528i | 0.0107282 | + | 0.0418798i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 35.6511 | + | 12.9759i | 1.25810 | + | 0.457911i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.343833 | − | 0.793534i | −0.0121185 | − | 0.0279684i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −43.5325 | − | 5.97545i | −1.53242 | − | 0.210346i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −10.4983 | + | 6.06119i | −0.369100 | + | 0.213100i | −0.673065 | − | 0.739583i | \(-0.735023\pi\) |
0.303965 | + | 0.952683i | \(0.401689\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 31.5450i | − | 1.10770i | −0.832618 | − | 0.553848i | \(-0.813159\pi\) | ||
0.832618 | − | 0.553848i | \(-0.186841\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 5.47449 | − | 2.23233i | 0.191999 | − | 0.0782914i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −5.02335 | − | 4.21509i | −0.175960 | − | 0.147648i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.101914 | + | 0.280005i | −0.00356550 | + | 0.00979614i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −6.57130 | − | 5.95951i | −0.229620 | − | 0.208242i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 32.2286 | + | 38.4086i | 1.12479 | + | 1.34047i | 0.933352 | + | 0.358962i | \(0.116869\pi\) |
0.191434 | + | 0.981505i | \(0.438686\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −2.25211 | + | 12.7724i | −0.0785038 | + | 0.445217i | 0.920066 | + | 0.391762i | \(0.128134\pi\) |
−0.998570 | + | 0.0534548i | \(0.982977\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −7.42459 | + | 6.72847i | −0.258491 | + | 0.234255i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −12.4941 | − | 7.21346i | −0.434462 | − | 0.250837i | 0.266784 | − | 0.963756i | \(-0.414039\pi\) |
−0.701246 | + | 0.712920i | \(0.747372\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 26.7205 | + | 15.4271i | 0.928043 | + | 0.535806i | 0.886192 | − | 0.463318i | \(-0.153341\pi\) |
0.0418506 | + | 0.999124i | \(0.486675\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 1.41380 | + | 37.0692i | 0.0490442 | + | 1.28591i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −13.7979 | − | 9.01067i | −0.478068 | − | 0.312201i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 2.97694 | + | 16.8831i | 0.103021 | + | 0.584262i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0.366144 | − | 6.07784i | 0.0126558 | − | 0.210081i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −30.0808 | + | 25.2408i | −1.03850 | + | 0.871409i | −0.991838 | − | 0.127502i | \(-0.959304\pi\) |
−0.0466664 | + | 0.998911i | \(0.514860\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 3.75409 | − | 21.2905i | 0.129452 | − | 0.734156i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 5.51315 | + | 8.76010i | 0.189883 | + | 0.301714i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 30.4426 | 1.04726 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −1.11863 | + | 0.0669837i | −0.0384367 | + | 0.00230159i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −6.89867 | + | 6.25186i | −0.236762 | + | 0.214563i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 1.27436 | + | 0.224703i | 0.0436843 | + | 0.00770273i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 15.8578 | − | 43.5689i | 0.542960 | − | 1.49177i | −0.300077 | − | 0.953915i | \(-0.597012\pi\) |
0.843037 | − | 0.537856i | \(-0.180766\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0.0690992 | + | 0.904556i | 0.00236314 | + | 0.0309352i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 6.03029 | − | 5.06001i | 0.205991 | − | 0.172847i | −0.533956 | − | 0.845512i | \(-0.679295\pi\) |
0.739947 | + | 0.672666i | \(0.234851\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −50.8696 | − | 8.96968i | −1.73565 | − | 0.306041i | −0.785736 | − | 0.618562i | \(-0.787716\pi\) |
−0.949911 | + | 0.312521i | \(0.898827\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −15.1139 | − | 1.16005i | −0.515082 | − | 0.0395343i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 36.0622 | + | 20.8205i | 1.22757 | + | 0.708738i | 0.966521 | − | 0.256587i | \(-0.0825980\pi\) |
0.261050 | + | 0.965325i | \(0.415931\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 13.8715 | + | 24.0262i | 0.471646 | + | 0.816915i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −12.1676 | + | 15.6775i | −0.413235 | + | 0.532435i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −16.3398 | − | 44.8931i | −0.554288 | − | 1.52289i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 6.52276 | + | 7.77353i | 0.221015 | + | 0.263396i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −24.1462 | − | 2.38102i | −0.817225 | − | 0.0805854i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −16.3695 | + | 15.4944i | −0.553391 | + | 0.523806i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 20.6069 | − | 7.50031i | 0.695846 | − | 0.253267i | 0.0302100 | − | 0.999544i | \(-0.490382\pi\) |
0.665636 | + | 0.746276i | \(0.268160\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 30.4985 | + | 33.6538i | 1.02869 | + | 1.13511i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 12.4755 | − | 21.6082i | 0.420311 | − | 0.727999i | −0.575659 | − | 0.817690i | \(-0.695254\pi\) |
0.995970 | + | 0.0896905i | \(0.0285878\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 21.2389 | + | 36.7869i | 0.714746 | + | 1.23798i | 0.963057 | + | 0.269296i | \(0.0867910\pi\) |
−0.248312 | + | 0.968680i | \(0.579876\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −1.44956 | − | 38.0068i | −0.0487264 | − | 1.27758i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −17.3786 | − | 14.5823i | −0.583515 | − | 0.489627i | 0.302584 | − | 0.953123i | \(-0.402151\pi\) |
−0.886099 | + | 0.463495i | \(0.846595\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −2.83084 | − | 11.8580i | −0.0949432 | − | 0.397705i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −23.7276 | + | 19.0344i | −0.794906 | + | 0.637676i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 0.327700 | − | 0.900348i | 0.0109661 | − | 0.0301290i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 11.7932 | + | 2.07946i | 0.394204 | + | 0.0695088i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −0.216028 | − | 0.113975i | −0.00721298 | − | 0.00380552i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 1.59178 | − | 2.75704i | 0.0530887 | − | 0.0919524i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 19.2503 | − | 11.1141i | 0.641319 | − | 0.370266i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 11.2668 | − | 3.14807i | 0.374936 | − | 0.104761i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −9.70273 | − | 26.6580i | −0.322530 | − | 0.886143i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −1.61111 | − | 9.13705i | −0.0534960 | − | 0.303391i | 0.946306 | − | 0.323271i | \(-0.104783\pi\) |
−0.999802 | + | 0.0198803i | \(0.993671\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 27.6751 | + | 19.8365i | 0.917924 | + | 0.657936i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −30.4364 | + | 5.36675i | −1.00840 | + | 0.177808i | −0.653364 | − | 0.757044i | \(-0.726643\pi\) |
−0.355037 | + | 0.934852i | \(0.615532\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 27.0766 | − | 32.2687i | 0.896105 | − | 1.06794i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −19.4541 | + | 7.93279i | −0.643132 | + | 0.262250i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −29.7723 | − | 45.1061i | −0.983166 | − | 1.48953i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −25.6490 | + | 44.4254i | −0.846083 | + | 1.46546i | 0.0385944 | + | 0.999255i | \(0.487712\pi\) |
−0.884677 | + | 0.466204i | \(0.845621\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 18.7783 | − | 7.65724i | 0.618767 | − | 0.252315i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −8.55811 | + | 3.11490i | −0.281694 | + | 0.102528i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 3.04820 | + | 17.2872i | 0.100224 | + | 0.568399i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −3.57679 | − | 46.8226i | −0.117477 | − | 1.53786i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −39.6793 | + | 33.2949i | −1.30184 | + | 1.09237i | −0.312010 | + | 0.950079i | \(0.601002\pi\) |
−0.989825 | + | 0.142291i | \(0.954553\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.446762 | − | 0.684119i | 0.0146420 | − | 0.0224211i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 12.4364 | + | 13.7230i | 0.407148 | + | 0.449271i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 20.6139i | 0.674145i | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 2.50743 | − | 1.44766i | 0.0819140 | − | 0.0472931i | −0.458484 | − | 0.888703i | \(-0.651607\pi\) |
0.540398 | + | 0.841410i | \(0.318274\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 4.41373 | − | 0.168338i | 0.144037 | − | 0.00549349i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −35.1125 | + | 12.7799i | −1.14463 | + | 0.416613i | −0.843585 | − | 0.536995i | \(-0.819559\pi\) |
−0.301050 | + | 0.953608i | \(0.597337\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −0.411017 | + | 0.0724734i | −0.0133846 | + | 0.00236006i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 27.2916 | − | 22.8836i | 0.887796 | − | 0.744403i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 28.0144 | − | 4.93969i | 0.910344 | − | 0.160518i | 0.301185 | − | 0.953566i | \(-0.402618\pi\) |
0.609160 | + | 0.793048i | \(0.291507\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −11.7892 | + | 4.29090i | −0.382692 | + | 0.139289i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −14.3125 | − | 22.7418i | −0.464114 | − | 0.737453i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −40.2768 | + | 23.2538i | −1.30469 | + | 0.753264i | −0.981205 | − | 0.192968i | \(-0.938189\pi\) |
−0.323487 | + | 0.946233i | \(0.604855\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | − | 51.0636i | − | 1.65238i | ||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −15.5462 | + | 3.35672i | −0.502538 | + | 0.108507i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −22.3379 | + | 30.1075i | −0.721330 | + | 0.972221i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 22.6955 | − | 19.0438i | 0.732113 | − | 0.614316i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −6.01810 | + | 21.5085i | −0.193931 | + | 0.693103i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 9.95889 | + | 56.4797i | 0.320588 | + | 1.81815i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −51.4456 | + | 18.7247i | −1.65438 | + | 0.602145i | −0.989465 | − | 0.144775i | \(-0.953754\pi\) |
−0.664914 | + | 0.746920i | \(0.731532\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0.376003 | + | 0.291824i | 0.0120789 | + | 0.00937474i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −8.88338 | + | 15.3865i | −0.285081 | + | 0.493775i | −0.972629 | − | 0.232364i | \(-0.925354\pi\) |
0.687548 | + | 0.726139i | \(0.258687\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −43.5119 | − | 21.7637i | −1.39493 | − | 0.697713i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0.450583 | − | 3.28259i | 0.0144302 | − | 0.105127i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 19.0696 | − | 22.7262i | 0.610090 | − | 0.727077i | −0.369243 | − | 0.929333i | \(-0.620383\pi\) |
0.979333 | + | 0.202256i | \(0.0648273\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1.35754 | + | 0.239371i | −0.0433872 | + | 0.00765034i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −36.3511 | + | 35.5583i | −1.16060 | + | 1.13529i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −5.87362 | − | 33.3109i | −0.187339 | − | 1.06245i | −0.922913 | − | 0.385009i | \(-0.874198\pi\) |
0.735573 | − | 0.677445i | \(-0.236913\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −1.78590 | − | 4.90671i | −0.0569034 | − | 0.156341i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −36.2281 | + | 10.1225i | −1.15315 | + | 0.322204i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 0.278940 | − | 0.161046i | 0.00886977 | − | 0.00512097i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −5.57737 | + | 9.66029i | −0.177171 | + | 0.306869i | −0.940910 | − | 0.338655i | \(-0.890028\pi\) |
0.763739 | + | 0.645525i | \(0.223361\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −35.3196 | + | 22.2283i | −1.12083 | + | 0.705394i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 9.50471 | + | 1.67594i | 0.301320 | + | 0.0531308i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −5.82149 | + | 15.9944i | −0.184368 | + | 0.506548i | −0.997101 | − | 0.0760887i | \(-0.975757\pi\) |
0.812733 | + | 0.582637i | \(0.197979\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 6.08128 | + | 52.9432i | 0.192403 | + | 1.67505i |
(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 | 756.2.ck.a.5.17 | yes | 144 | |
7.3 | odd | 6 | 756.2.ca.a.437.23 | yes | 144 | ||
27.11 | odd | 18 | 756.2.ca.a.173.23 | ✓ | 144 | ||
189.38 | even | 18 | inner | 756.2.ck.a.605.17 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.ca.a.173.23 | ✓ | 144 | 27.11 | odd | 18 | ||
756.2.ca.a.437.23 | yes | 144 | 7.3 | odd | 6 | ||
756.2.ck.a.5.17 | yes | 144 | 1.1 | even | 1 | trivial | |
756.2.ck.a.605.17 | yes | 144 | 189.38 | even | 18 | inner |