Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [495,2,Mod(91,495)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(495, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("495.91");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 495 = 3^{2} \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 495.n (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.95259490005\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 2 x^{15} + 5 x^{14} - 8 x^{13} + 47 x^{12} + 32 x^{11} + 171 x^{10} + 26 x^{9} + 360 x^{8} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 361.2 | ||
Root | \(0.735494 + 0.534368i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 495.361 |
Dual form | 495.2.n.g.181.2 |
$q$-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 \(\left(\mathbb{Z}/495\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) | \(397\) |
\(\chi(n)\) | \(e\left(\frac{3}{5}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0280832 | − | 0.0864312i | 0.0198578 | − | 0.0611161i | −0.940637 | − | 0.339415i | \(-0.889771\pi\) |
0.960494 | + | 0.278299i | \(0.0897707\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.61135 | + | 1.17072i | 0.805676 | + | 0.585358i | ||||
\(5\) | 0.309017 | + | 0.951057i | 0.138197 | + | 0.425325i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.98801 | + | 1.44438i | 0.751399 | + | 0.545923i | 0.896260 | − | 0.443529i | \(-0.146274\pi\) |
−0.144861 | + | 0.989452i | \(0.546274\pi\) | |||||||
\(8\) | 0.293484 | − | 0.213228i | 0.103762 | − | 0.0753876i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.0908791 | 0.0287385 | ||||||||
\(11\) | −0.242484 | − | 3.30775i | −0.0731117 | − | 0.997324i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.0999755 | − | 0.307693i | 0.0277282 | − | 0.0853386i | −0.936235 | − | 0.351375i | \(-0.885714\pi\) |
0.963963 | + | 0.266037i | \(0.0857142\pi\) | |||||||
\(14\) | 0.180669 | − | 0.131264i | 0.0482858 | − | 0.0350817i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.22078 | + | 3.75716i | 0.305194 | + | 0.939291i | ||||
\(17\) | 1.13260 | + | 3.48579i | 0.274696 | + | 0.845428i | 0.989300 | + | 0.145898i | \(0.0466071\pi\) |
−0.714604 | + | 0.699530i | \(0.753393\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.437853 | + | 0.318119i | −0.100450 | + | 0.0729815i | −0.636877 | − | 0.770966i | \(-0.719774\pi\) |
0.536426 | + | 0.843947i | \(0.319774\pi\) | |||||||
\(20\) | −0.615482 | + | 1.89426i | −0.137626 | + | 0.423569i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.292702 | − | 0.0719339i | −0.0624043 | − | 0.0153364i | ||||
\(23\) | −4.62543 | −0.964470 | −0.482235 | − | 0.876042i | \(-0.660175\pi\) | ||||
−0.482235 | + | 0.876042i | \(0.660175\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.809017 | + | 0.587785i | −0.161803 | + | 0.117557i | ||||
\(26\) | −0.0237866 | − | 0.0172820i | −0.00466494 | − | 0.00338928i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.51244 | + | 4.65480i | 0.285824 | + | 0.879675i | ||||
\(29\) | −1.19403 | − | 0.867515i | −0.221726 | − | 0.161094i | 0.471377 | − | 0.881932i | \(-0.343757\pi\) |
−0.693103 | + | 0.720838i | \(0.743757\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.275312 | − | 0.847323i | 0.0494475 | − | 0.152184i | −0.923284 | − | 0.384118i | \(-0.874506\pi\) |
0.972731 | + | 0.231935i | \(0.0745055\pi\) | |||||||
\(32\) | 1.08455 | 0.191723 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.333088 | 0.0571241 | ||||||||
\(35\) | −0.759354 | + | 2.33705i | −0.128354 | + | 0.395034i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.84899 | + | 1.34337i | 0.303971 | + | 0.220848i | 0.729305 | − | 0.684188i | \(-0.239843\pi\) |
−0.425334 | + | 0.905036i | \(0.639843\pi\) | |||||||
\(38\) | 0.0151991 | + | 0.0467779i | 0.00246562 | + | 0.00758838i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.293484 | + | 0.213228i | 0.0464038 | + | 0.0337144i | ||||
\(41\) | 7.26541 | − | 5.27863i | 1.13467 | − | 0.824384i | 0.148299 | − | 0.988943i | \(-0.452620\pi\) |
0.986367 | + | 0.164559i | \(0.0526201\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 6.31964 | 0.963736 | 0.481868 | − | 0.876244i | \(-0.339959\pi\) | ||||
0.481868 | + | 0.876244i | \(0.339959\pi\) | |||||||
\(44\) | 3.48171 | − | 5.61383i | 0.524887 | − | 0.846317i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.129897 | + | 0.399782i | −0.0191523 | + | 0.0589446i | ||||
\(47\) | 1.18347 | − | 0.859844i | 0.172627 | − | 0.125421i | −0.498117 | − | 0.867110i | \(-0.665975\pi\) |
0.670744 | + | 0.741689i | \(0.265975\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.297142 | − | 0.914509i | −0.0424488 | − | 0.130644i | ||||
\(50\) | 0.0280832 | + | 0.0864312i | 0.00397156 | + | 0.0122232i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.521317 | − | 0.378759i | 0.0722936 | − | 0.0525244i | ||||
\(53\) | −3.19196 | + | 9.82385i | −0.438450 | + | 1.34941i | 0.451060 | + | 0.892494i | \(0.351046\pi\) |
−0.889510 | + | 0.456916i | \(0.848954\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.07092 | − | 1.25277i | 0.414083 | − | 0.168923i | ||||
\(56\) | 0.891432 | 0.119123 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.108513 | + | 0.0788390i | −0.0142484 | + | 0.0103521i | ||||
\(59\) | −5.09137 | − | 3.69910i | −0.662840 | − | 0.481581i | 0.204781 | − | 0.978808i | \(-0.434352\pi\) |
−0.867621 | + | 0.497227i | \(0.834352\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.00101 | − | 6.15847i | −0.256203 | − | 0.788511i | −0.993590 | − | 0.113041i | \(-0.963941\pi\) |
0.737388 | − | 0.675470i | \(-0.236059\pi\) | |||||||
\(62\) | −0.0655035 | − | 0.0475911i | −0.00831895 | − | 0.00604407i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −2.41109 | + | 7.42059i | −0.301387 | + | 0.927573i | ||||
\(65\) | 0.323527 | 0.0401286 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −7.05634 | −0.862069 | −0.431035 | − | 0.902335i | \(-0.641851\pi\) | ||||
−0.431035 | + | 0.902335i | \(0.641851\pi\) | |||||||
\(68\) | −2.25585 | + | 6.94279i | −0.273562 | + | 0.841936i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.180669 | + | 0.131264i | 0.0215941 | + | 0.0156890i | ||||
\(71\) | −2.87940 | − | 8.86188i | −0.341722 | − | 1.05171i | −0.963315 | − | 0.268372i | \(-0.913515\pi\) |
0.621594 | − | 0.783340i | \(-0.286485\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −5.01044 | − | 3.64030i | −0.586428 | − | 0.426065i | 0.254608 | − | 0.967044i | \(-0.418054\pi\) |
−0.841036 | + | 0.540980i | \(0.818054\pi\) | |||||||
\(74\) | 0.168034 | − | 0.122084i | 0.0195336 | − | 0.0141920i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.07796 | −0.123651 | ||||||||
\(77\) | 4.29557 | − | 6.92609i | 0.489526 | − | 0.789301i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.58612 | − | 11.0369i | 0.403470 | − | 1.24175i | −0.518697 | − | 0.854958i | \(-0.673583\pi\) |
0.922166 | − | 0.386793i | \(-0.126417\pi\) | |||||||
\(80\) | −3.19603 | + | 2.32205i | −0.357327 | + | 0.259614i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −0.252202 | − | 0.776199i | −0.0278511 | − | 0.0857168i | ||||
\(83\) | 5.36887 | + | 16.5237i | 0.589311 | + | 1.81371i | 0.581223 | + | 0.813744i | \(0.302574\pi\) |
0.00808702 | + | 0.999967i | \(0.497426\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.96519 | + | 2.15434i | −0.321620 | + | 0.233670i | ||||
\(86\) | 0.177476 | − | 0.546214i | 0.0191377 | − | 0.0588997i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.776471 | − | 0.919066i | −0.0827721 | − | 0.0979727i | ||||
\(89\) | 4.70270 | 0.498485 | 0.249242 | − | 0.968441i | \(-0.419818\pi\) | ||||
0.249242 | + | 0.968441i | \(0.419818\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.643177 | − | 0.467296i | 0.0674233 | − | 0.0489859i | ||||
\(92\) | −7.45320 | − | 5.41507i | −0.777050 | − | 0.564560i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.0410816 | − | 0.126436i | −0.00423724 | − | 0.0130409i | ||||
\(95\) | −0.437853 | − | 0.318119i | −0.0449228 | − | 0.0326383i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 3.40155 | − | 10.4689i | 0.345375 | − | 1.06296i | −0.616007 | − | 0.787741i | \(-0.711251\pi\) |
0.961383 | − | 0.275216i | \(-0.0887492\pi\) | |||||||
\(98\) | −0.0873867 | −0.00882739 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −1.99174 | −0.199174 | ||||||||
\(101\) | 2.07395 | − | 6.38296i | 0.206366 | − | 0.635129i | −0.793289 | − | 0.608846i | \(-0.791633\pi\) |
0.999655 | − | 0.0262830i | \(-0.00836709\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −12.6233 | − | 9.17139i | −1.24381 | − | 0.903684i | −0.245968 | − | 0.969278i | \(-0.579106\pi\) |
−0.997846 | + | 0.0655935i | \(0.979106\pi\) | |||||||
\(104\) | −0.0362677 | − | 0.111620i | −0.00355634 | − | 0.0109453i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.759446 | + | 0.551770i | 0.0737640 | + | 0.0535926i | ||||
\(107\) | 7.26833 | − | 5.28075i | 0.702656 | − | 0.510509i | −0.178140 | − | 0.984005i | \(-0.557008\pi\) |
0.880796 | + | 0.473496i | \(0.157008\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −10.7685 | −1.03144 | −0.515719 | − | 0.856758i | \(-0.672475\pi\) | ||||
−0.515719 | + | 0.856758i | \(0.672475\pi\) | |||||||
\(110\) | −0.0220367 | − | 0.300605i | −0.00210112 | − | 0.0286616i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.99984 | + | 9.23256i | −0.283458 | + | 0.872394i | ||||
\(113\) | −16.0953 | + | 11.6939i | −1.51412 | + | 1.10007i | −0.549812 | + | 0.835288i | \(0.685301\pi\) |
−0.964308 | + | 0.264784i | \(0.914699\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.42934 | − | 4.39905i | −0.133286 | − | 0.410213i | ||||
\(116\) | −0.908393 | − | 2.79575i | −0.0843422 | − | 0.259578i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.462699 | + | 0.336170i | −0.0425949 | + | 0.0309470i | ||||
\(119\) | −2.78316 | + | 8.56570i | −0.255132 | + | 0.785216i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.8824 | + | 1.60415i | −0.989309 | + | 0.145832i | ||||
\(122\) | −0.588478 | −0.0532783 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 1.43560 | − | 1.04302i | 0.128921 | − | 0.0936663i | ||||
\(125\) | −0.809017 | − | 0.587785i | −0.0723607 | − | 0.0525731i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −3.74224 | − | 11.5174i | −0.332070 | − | 1.02201i | −0.968147 | − | 0.250381i | \(-0.919444\pi\) |
0.636078 | − | 0.771625i | \(-0.280556\pi\) | |||||||
\(128\) | 2.32850 | + | 1.69175i | 0.205812 | + | 0.149531i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.00908568 | − | 0.0279628i | 0.000796867 | − | 0.00245250i | ||||
\(131\) | 18.7043 | 1.63420 | 0.817099 | − | 0.576497i | \(-0.195581\pi\) | ||||
0.817099 | + | 0.576497i | \(0.195581\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.32994 | −0.115321 | ||||||||
\(134\) | −0.198165 | + | 0.609888i | −0.0171188 | + | 0.0526863i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.07567 | + | 0.781519i | 0.0922378 | + | 0.0670147i | ||||
\(137\) | −4.87796 | − | 15.0128i | −0.416752 | − | 1.28263i | −0.910674 | − | 0.413125i | \(-0.864437\pi\) |
0.493922 | − | 0.869506i | \(-0.335563\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −11.1932 | − | 8.13233i | −0.949395 | − | 0.689776i | 0.00126895 | − | 0.999999i | \(-0.499596\pi\) |
−0.950664 | + | 0.310224i | \(0.899596\pi\) | |||||||
\(140\) | −3.95961 | + | 2.87683i | −0.334648 | + | 0.243136i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.846805 | −0.0710623 | ||||||||
\(143\) | −1.04201 | − | 0.256083i | −0.0871375 | − | 0.0214147i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.456080 | − | 1.40367i | 0.0378754 | − | 0.116568i | ||||
\(146\) | −0.455344 | + | 0.330827i | −0.0376846 | + | 0.0273794i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.40667 | + | 4.32927i | 0.115627 | + | 0.355864i | ||||
\(149\) | 2.79288 | + | 8.59559i | 0.228801 | + | 0.704178i | 0.997883 | + | 0.0650280i | \(0.0207137\pi\) |
−0.769082 | + | 0.639150i | \(0.779286\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 7.16102 | − | 5.20278i | 0.582755 | − | 0.423397i | −0.256961 | − | 0.966422i | \(-0.582721\pi\) |
0.839716 | + | 0.543025i | \(0.182721\pi\) | |||||||
\(152\) | −0.0606708 | + | 0.186725i | −0.00492105 | + | 0.0151454i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.477997 | − | 0.565778i | −0.0385181 | − | 0.0455917i | ||||
\(155\) | 0.890928 | 0.0715611 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −9.49715 | + | 6.90008i | −0.757955 | + | 0.550686i | −0.898282 | − | 0.439419i | \(-0.855184\pi\) |
0.140328 | + | 0.990105i | \(0.455184\pi\) | |||||||
\(158\) | −0.853225 | − | 0.619904i | −0.0678789 | − | 0.0493169i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.335145 | + | 1.03147i | 0.0264955 | + | 0.0815448i | ||||
\(161\) | −9.19543 | − | 6.68087i | −0.724701 | − | 0.526526i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.35476 | − | 7.24722i | 0.184439 | − | 0.567646i | −0.815499 | − | 0.578759i | \(-0.803537\pi\) |
0.999938 | + | 0.0111126i | \(0.00353731\pi\) | |||||||
\(164\) | 17.8869 | 1.39673 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 1.57894 | 0.122549 | ||||||||
\(167\) | 3.12640 | − | 9.62208i | 0.241928 | − | 0.744579i | −0.754198 | − | 0.656647i | \(-0.771974\pi\) |
0.996126 | − | 0.0879319i | \(-0.0280258\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 10.4325 | + | 7.57968i | 0.802503 | + | 0.583053i | ||||
\(170\) | 0.102930 | + | 0.316785i | 0.00789435 | + | 0.0242963i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 10.1832 | + | 7.39850i | 0.776459 | + | 0.564130i | ||||
\(173\) | −7.84357 | + | 5.69869i | −0.596335 | + | 0.433263i | −0.844576 | − | 0.535435i | \(-0.820148\pi\) |
0.248241 | + | 0.968698i | \(0.420148\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.45732 | −0.185756 | ||||||||
\(176\) | 12.1317 | − | 4.94907i | 0.914464 | − | 0.373050i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0.132067 | − | 0.406459i | 0.00989882 | − | 0.0304654i | ||||
\(179\) | −14.6904 | + | 10.6732i | −1.09801 | + | 0.797751i | −0.980734 | − | 0.195348i | \(-0.937416\pi\) |
−0.117276 | + | 0.993099i | \(0.537416\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.36254 | − | 4.19346i | −0.101277 | − | 0.311697i | 0.887562 | − | 0.460688i | \(-0.152397\pi\) |
−0.988839 | + | 0.148991i | \(0.952397\pi\) | |||||||
\(182\) | −0.0223264 | − | 0.0687137i | −0.00165495 | − | 0.00509340i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.35749 | + | 0.986274i | −0.100075 | + | 0.0727091i | ||||
\(185\) | −0.706250 | + | 2.17361i | −0.0519245 | + | 0.159807i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 11.2555 | − | 4.59161i | 0.823082 | − | 0.335772i | ||||
\(188\) | 2.91363 | 0.212498 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.0397917 | + | 0.0289104i | −0.00288679 | + | 0.00209738i | ||||
\(191\) | −9.93939 | − | 7.22139i | −0.719189 | − | 0.522521i | 0.166936 | − | 0.985968i | \(-0.446613\pi\) |
−0.886125 | + | 0.463446i | \(0.846613\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 7.19896 | + | 22.1561i | 0.518193 | + | 1.59483i | 0.777397 | + | 0.629010i | \(0.216540\pi\) |
−0.259204 | + | 0.965823i | \(0.583460\pi\) | |||||||
\(194\) | −0.809313 | − | 0.588000i | −0.0581053 | − | 0.0422160i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.591830 | − | 1.82146i | 0.0422736 | − | 0.130105i | ||||
\(197\) | 19.6929 | 1.40306 | 0.701532 | − | 0.712638i | \(-0.252500\pi\) | ||||
0.701532 | + | 0.712638i | \(0.252500\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 22.2083 | 1.57431 | 0.787154 | − | 0.616757i | \(-0.211554\pi\) | ||||
0.787154 | + | 0.616757i | \(0.211554\pi\) | |||||||
\(200\) | −0.112101 | + | 0.345011i | −0.00792672 | + | 0.0243959i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −0.493444 | − | 0.358508i | −0.0347186 | − | 0.0252245i | ||||
\(203\) | −1.12073 | − | 3.44927i | −0.0786601 | − | 0.242091i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 7.26541 | + | 5.27863i | 0.507438 | + | 0.368676i | ||||
\(206\) | −1.14720 | + | 0.833488i | −0.0799291 | + | 0.0580719i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 1.27810 | 0.0886203 | ||||||||
\(209\) | 1.15843 | + | 1.37117i | 0.0801303 | + | 0.0948458i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.01468 | + | 12.3559i | −0.276382 | + | 0.850616i | 0.712469 | + | 0.701704i | \(0.247577\pi\) |
−0.988850 | + | 0.148912i | \(0.952423\pi\) | |||||||
\(212\) | −16.6443 | + | 12.0928i | −1.14314 | + | 0.830537i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −0.252304 | − | 0.776510i | −0.0172471 | − | 0.0530812i | ||||
\(215\) | 1.95288 | + | 6.01033i | 0.133185 | + | 0.409901i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.77118 | − | 1.28684i | 0.120235 | − | 0.0873561i | ||||
\(218\) | −0.302415 | + | 0.930736i | −0.0204821 | + | 0.0630374i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 6.41497 | + | 1.57653i | 0.432498 | + | 0.106290i | ||||
\(221\) | 1.18578 | 0.0797645 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 18.3008 | − | 13.2963i | 1.22551 | − | 0.890387i | 0.228968 | − | 0.973434i | \(-0.426465\pi\) |
0.996546 | + | 0.0830466i | \(0.0264650\pi\) | |||||||
\(224\) | 2.15610 | + | 1.56650i | 0.144061 | + | 0.104666i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.558712 | + | 1.71954i | 0.0371650 | + | 0.114382i | ||||
\(227\) | −12.7278 | − | 9.24727i | −0.844772 | − | 0.613763i | 0.0789276 | − | 0.996880i | \(-0.474850\pi\) |
−0.923700 | + | 0.383118i | \(0.874850\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −7.50944 | + | 23.1117i | −0.496238 | + | 1.52726i | 0.318781 | + | 0.947828i | \(0.396727\pi\) |
−0.815019 | + | 0.579434i | \(0.803273\pi\) | |||||||
\(230\) | −0.420355 | −0.0277174 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.535408 | −0.0351513 | ||||||||
\(233\) | −1.65556 | + | 5.09529i | −0.108459 | + | 0.333804i | −0.990527 | − | 0.137319i | \(-0.956151\pi\) |
0.882067 | + | 0.471123i | \(0.156151\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.18347 | + | 0.859844i | 0.0772013 | + | 0.0560901i | ||||
\(236\) | −3.87340 | − | 11.9211i | −0.252137 | − | 0.775997i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.662183 | + | 0.481104i | 0.0429230 | + | 0.0311854i | ||||
\(239\) | −0.745637 | + | 0.541737i | −0.0482312 | + | 0.0350420i | −0.611640 | − | 0.791136i | \(-0.709490\pi\) |
0.563408 | + | 0.826179i | \(0.309490\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 11.4029 | 0.734523 | 0.367262 | − | 0.930118i | \(-0.380295\pi\) | ||||
0.367262 | + | 0.930118i | \(0.380295\pi\) | |||||||
\(242\) | −0.166964 | + | 0.985628i | −0.0107328 | + | 0.0633586i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 3.98549 | − | 12.2661i | 0.255145 | − | 0.785255i | ||||
\(245\) | 0.777928 | − | 0.565198i | 0.0497000 | − | 0.0361091i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.0541084 | + | 0.166528i | 0.00344283 | + | 0.0105959i | ||||
\(248\) | −0.0998738 | − | 0.307380i | −0.00634199 | − | 0.0195186i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −0.0735227 | + | 0.0534174i | −0.00464999 | + | 0.00337841i | ||||
\(251\) | −0.274926 | + | 0.846135i | −0.0173532 | + | 0.0534076i | −0.959358 | − | 0.282191i | \(-0.908939\pi\) |
0.942005 | + | 0.335599i | \(0.108939\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.12159 | + | 15.2998i | 0.0705140 | + | 0.961888i | ||||
\(254\) | −1.10056 | −0.0690551 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −12.4130 | + | 9.01860i | −0.775815 | + | 0.563663i | ||||
\(257\) | 12.9545 | + | 9.41196i | 0.808077 | + | 0.587102i | 0.913272 | − | 0.407349i | \(-0.133547\pi\) |
−0.105196 | + | 0.994452i | \(0.533547\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.73548 | + | 5.34127i | 0.107838 | + | 0.331890i | ||||
\(260\) | 0.521317 | + | 0.378759i | 0.0323307 | + | 0.0234896i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.525275 | − | 1.61663i | 0.0324516 | − | 0.0998757i | ||||
\(263\) | 21.2954 | 1.31313 | 0.656565 | − | 0.754269i | \(-0.272009\pi\) | ||||
0.656565 | + | 0.754269i | \(0.272009\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −10.3294 | −0.634531 | ||||||||
\(266\) | −0.0373490 | + | 0.114948i | −0.00229001 | + | 0.00704794i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −11.3703 | − | 8.26097i | −0.694549 | − | 0.504619i | ||||
\(269\) | −9.35808 | − | 28.8012i | −0.570572 | − | 1.75604i | −0.650783 | − | 0.759264i | \(-0.725559\pi\) |
0.0802108 | − | 0.996778i | \(-0.474441\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −4.86915 | − | 3.53764i | −0.295780 | − | 0.214897i | 0.429991 | − | 0.902833i | \(-0.358517\pi\) |
−0.725771 | + | 0.687937i | \(0.758517\pi\) | |||||||
\(272\) | −11.7140 | + | 8.51073i | −0.710267 | + | 0.516039i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −1.43456 | −0.0866651 | ||||||||
\(275\) | 2.14042 | + | 2.53350i | 0.129072 | + | 0.152776i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −8.66386 | + | 26.6646i | −0.520561 | + | 1.60212i | 0.252369 | + | 0.967631i | \(0.418790\pi\) |
−0.772930 | + | 0.634491i | \(0.781210\pi\) | |||||||
\(278\) | −1.01723 | + | 0.739059i | −0.0610093 | + | 0.0443258i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.275468 | + | 0.847802i | 0.0164623 | + | 0.0506659i | ||||
\(281\) | 8.10523 | + | 24.9453i | 0.483517 | + | 1.48811i | 0.834117 | + | 0.551588i | \(0.185978\pi\) |
−0.350599 | + | 0.936526i | \(0.614022\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −10.0324 | + | 7.28897i | −0.596365 | + | 0.433284i | −0.844587 | − | 0.535419i | \(-0.820154\pi\) |
0.248222 | + | 0.968703i | \(0.420154\pi\) | |||||||
\(284\) | 5.73502 | − | 17.6506i | 0.340311 | − | 1.04737i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.0513966 | + | 0.0828708i | −0.00303915 | + | 0.00490025i | ||||
\(287\) | 22.0681 | 1.30264 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 2.88536 | − | 2.09634i | 0.169727 | − | 0.123314i | ||||
\(290\) | −0.108513 | − | 0.0788390i | −0.00637208 | − | 0.00462959i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −3.81183 | − | 11.7316i | −0.223071 | − | 0.686540i | ||||
\(293\) | −24.0919 | − | 17.5038i | −1.40746 | − | 1.02258i | −0.993685 | − | 0.112202i | \(-0.964210\pi\) |
−0.413776 | − | 0.910379i | \(-0.635790\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.94473 | − | 5.98526i | 0.113227 | − | 0.348475i | ||||
\(296\) | 0.829091 | 0.0481899 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0.821359 | 0.0475801 | ||||||||
\(299\) | −0.462430 | + | 1.42321i | −0.0267430 | + | 0.0823065i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 12.5635 | + | 9.12794i | 0.724150 | + | 0.526126i | ||||
\(302\) | −0.248578 | − | 0.765046i | −0.0143041 | − | 0.0440234i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −1.72974 | − | 1.25673i | −0.0992077 | − | 0.0720786i | ||||
\(305\) | 5.23871 | − | 3.80614i | 0.299967 | − | 0.217939i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 13.5474 | 0.773194 | 0.386597 | − | 0.922249i | \(-0.373650\pi\) | ||||
0.386597 | + | 0.922249i | \(0.373650\pi\) | |||||||
\(308\) | 15.0302 | − | 6.13148i | 0.856423 | − | 0.349373i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.0250201 | − | 0.0770039i | 0.00142105 | − | 0.00437353i | ||||
\(311\) | −7.08052 | + | 5.14430i | −0.401499 | + | 0.291706i | −0.770151 | − | 0.637861i | \(-0.779819\pi\) |
0.368652 | + | 0.929567i | \(0.379819\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 5.00966 | + | 15.4181i | 0.283162 | + | 0.871484i | 0.986943 | + | 0.161067i | \(0.0514936\pi\) |
−0.703781 | + | 0.710417i | \(0.748506\pi\) | |||||||
\(314\) | 0.329672 | + | 1.01463i | 0.0186045 | + | 0.0572586i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 18.6996 | − | 13.5861i | 1.05193 | − | 0.764275i | ||||
\(317\) | −1.81782 | + | 5.59467i | −0.102099 | + | 0.314228i | −0.989039 | − | 0.147657i | \(-0.952827\pi\) |
0.886940 | + | 0.461885i | \(0.152827\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −2.57999 | + | 4.15992i | −0.144452 | + | 0.232911i | ||||
\(320\) | −7.80247 | −0.436171 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.835672 | + | 0.607152i | −0.0465702 | + | 0.0338352i | ||||
\(323\) | −1.60481 | − | 1.16596i | −0.0892939 | − | 0.0648758i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.0999755 | + | 0.307693i | 0.00554564 | + | 0.0170677i | ||||
\(326\) | −0.560256 | − | 0.407050i | −0.0310297 | − | 0.0225444i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 1.00673 | − | 3.09838i | 0.0555871 | − | 0.171080i | ||||
\(329\) | 3.59470 | 0.198182 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 13.4772 | 0.740775 | 0.370387 | − | 0.928877i | \(-0.379225\pi\) | ||||
0.370387 | + | 0.928877i | \(0.379225\pi\) | |||||||
\(332\) | −10.6934 | + | 32.9109i | −0.586877 | + | 1.80622i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −0.743848 | − | 0.540437i | −0.0407016 | − | 0.0295714i | ||||
\(335\) | −2.18053 | − | 6.71098i | −0.119135 | − | 0.366660i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 12.2650 | + | 8.91103i | 0.668116 | + | 0.485415i | 0.869394 | − | 0.494119i | \(-0.164509\pi\) |
−0.201278 | + | 0.979534i | \(0.564509\pi\) | |||||||
\(338\) | 0.948100 | − | 0.688835i | 0.0515698 | − | 0.0374677i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −7.30008 | −0.395902 | ||||||||
\(341\) | −2.86949 | − | 0.705200i | −0.155392 | − | 0.0381887i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 6.04565 | − | 18.6066i | 0.326435 | − | 1.00466i | ||||
\(344\) | 1.85471 | − | 1.34753i | 0.0999993 | − | 0.0726537i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.272272 | + | 0.837966i | 0.0146374 | + | 0.0450493i | ||||
\(347\) | 5.36400 | + | 16.5087i | 0.287955 | + | 0.886233i | 0.985497 | + | 0.169690i | \(0.0542767\pi\) |
−0.697543 | + | 0.716543i | \(0.745723\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.95801 | − | 2.87566i | 0.211867 | − | 0.153931i | −0.476791 | − | 0.879017i | \(-0.658200\pi\) |
0.688658 | + | 0.725086i | \(0.258200\pi\) | |||||||
\(350\) | −0.0690094 | + | 0.212389i | −0.00368871 | + | 0.0113527i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.262986 | − | 3.58742i | −0.0140172 | − | 0.191210i | ||||
\(353\) | 9.32665 | 0.496408 | 0.248204 | − | 0.968708i | \(-0.420160\pi\) | ||||
0.248204 | + | 0.968708i | \(0.420160\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 7.53836 | − | 5.47694i | 0.400095 | − | 0.290686i | ||||
\(356\) | 7.57770 | + | 5.50552i | 0.401617 | + | 0.291792i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0.509943 | + | 1.56944i | 0.0269513 | + | 0.0829477i | ||||
\(359\) | −23.4423 | − | 17.0318i | −1.23724 | − | 0.898904i | −0.239825 | − | 0.970816i | \(-0.577090\pi\) |
−0.997411 | + | 0.0719119i | \(0.977090\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −5.78081 | + | 17.7915i | −0.304253 | + | 0.936394i | ||||
\(362\) | −0.400710 | −0.0210608 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 1.58346 | 0.0829956 | ||||||||
\(365\) | 1.91382 | − | 5.89013i | 0.100174 | − | 0.308303i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 11.2839 | + | 8.19820i | 0.589013 | + | 0.427943i | 0.841962 | − | 0.539537i | \(-0.181401\pi\) |
−0.252949 | + | 0.967480i | \(0.581401\pi\) | |||||||
\(368\) | −5.64662 | − | 17.3785i | −0.294350 | − | 0.905917i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.168034 | + | 0.122084i | 0.00873568 | + | 0.00634684i | ||||
\(371\) | −20.5350 | + | 14.9196i | −1.06612 | + | 0.774585i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −22.0121 | −1.13974 | −0.569871 | − | 0.821734i | \(-0.693007\pi\) | ||||
−0.569871 | + | 0.821734i | \(0.693007\pi\) | |||||||
\(374\) | −0.0807685 | − | 1.10177i | −0.00417644 | − | 0.0569712i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0.163987 | − | 0.504701i | 0.00845699 | − | 0.0260279i | ||||
\(377\) | −0.386302 | + | 0.280665i | −0.0198956 | + | 0.0144550i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −0.585450 | − | 1.80183i | −0.0300726 | − | 0.0925538i | 0.934894 | − | 0.354928i | \(-0.115495\pi\) |
−0.964966 | + | 0.262374i | \(0.915495\pi\) | |||||||
\(380\) | −0.333109 | − | 1.02520i | −0.0170881 | − | 0.0525918i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −0.903283 | + | 0.656273i | −0.0462160 | + | 0.0335779i | ||||
\(383\) | 0.296274 | − | 0.911838i | 0.0151389 | − | 0.0465928i | −0.943202 | − | 0.332221i | \(-0.892202\pi\) |
0.958341 | + | 0.285628i | \(0.0922021\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 7.91451 | + | 1.94505i | 0.403361 | + | 0.0991292i | ||||
\(386\) | 2.11715 | 0.107760 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 17.7372 | − | 12.8868i | 0.900471 | − | 0.654230i | ||||
\(389\) | 5.28186 | + | 3.83750i | 0.267801 | + | 0.194569i | 0.713579 | − | 0.700575i | \(-0.247073\pi\) |
−0.445778 | + | 0.895143i | \(0.647073\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −5.23877 | − | 16.1233i | −0.264936 | − | 0.815389i | ||||
\(392\) | −0.282206 | − | 0.205034i | −0.0142535 | − | 0.0103558i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0.553040 | − | 1.70208i | 0.0278618 | − | 0.0857497i | ||||
\(395\) | 11.6049 | 0.583907 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −21.3621 | −1.07213 | −0.536066 | − | 0.844176i | \(-0.680090\pi\) | ||||
−0.536066 | + | 0.844176i | \(0.680090\pi\) | |||||||
\(398\) | 0.623681 | − | 1.91949i | 0.0312623 | − | 0.0962155i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.19603 | − | 2.32205i | −0.159802 | − | 0.116103i | ||||
\(401\) | 3.90987 | + | 12.0334i | 0.195250 | + | 0.600917i | 0.999974 | + | 0.00726766i | \(0.00231339\pi\) |
−0.804724 | + | 0.593649i | \(0.797687\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.233191 | − | 0.169423i | −0.0116161 | − | 0.00843956i | ||||
\(404\) | 10.8145 | − | 7.85719i | 0.538042 | − | 0.390910i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.329598 | −0.0163577 | ||||||||
\(407\) | 3.99517 | − | 6.44173i | 0.198033 | − | 0.319305i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 1.54745 | − | 4.76256i | 0.0765164 | − | 0.235493i | −0.905481 | − | 0.424386i | \(-0.860490\pi\) |
0.981998 | + | 0.188893i | \(0.0604899\pi\) | |||||||
\(410\) | 0.660274 | − | 0.479717i | 0.0326086 | − | 0.0236915i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −9.60355 | − | 29.5567i | −0.473133 | − | 1.45615i | ||||
\(413\) | −4.77883 | − | 14.7077i | −0.235151 | − | 0.723719i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −14.0559 | + | 10.2122i | −0.689977 | + | 0.501297i | ||||
\(416\) | 0.108428 | − | 0.333709i | 0.00531614 | − | 0.0163614i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.151044 | − | 0.0616176i | 0.00738781 | − | 0.00301382i | ||||
\(419\) | −9.31728 | −0.455179 | −0.227589 | − | 0.973757i | \(-0.573084\pi\) | ||||
−0.227589 | + | 0.973757i | \(0.573084\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −19.1562 | + | 13.9178i | −0.933617 | + | 0.678313i | −0.946876 | − | 0.321600i | \(-0.895780\pi\) |
0.0132587 | + | 0.999912i | \(0.495780\pi\) | |||||||
\(422\) | 0.955191 | + | 0.693987i | 0.0464980 | + | 0.0337827i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 1.15794 | + | 3.56376i | 0.0562343 | + | 0.173071i | ||||
\(425\) | −2.96519 | − | 2.15434i | −0.143833 | − | 0.104501i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 4.91712 | − | 15.1333i | 0.237956 | − | 0.732353i | ||||
\(428\) | 17.8941 | 0.864944 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0.574323 | 0.0276963 | ||||||||
\(431\) | −7.94388 | + | 24.4488i | −0.382643 | + | 1.17765i | 0.555532 | + | 0.831495i | \(0.312515\pi\) |
−0.938176 | + | 0.346160i | \(0.887485\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −16.0949 | − | 11.6937i | −0.773474 | − | 0.561962i | 0.129539 | − | 0.991574i | \(-0.458650\pi\) |
−0.903013 | + | 0.429613i | \(0.858650\pi\) | |||||||
\(434\) | −0.0614824 | − | 0.189223i | −0.00295125 | − | 0.00908302i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −17.3519 | − | 12.6069i | −0.831005 | − | 0.603761i | ||||
\(437\) | 2.02526 | − | 1.47144i | 0.0968814 | − | 0.0703884i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −2.83831 | −0.135465 | −0.0677327 | − | 0.997704i | \(-0.521577\pi\) | ||||
−0.0677327 | + | 0.997704i | \(0.521577\pi\) | |||||||
\(440\) | 0.634141 | − | 1.02247i | 0.0302315 | − | 0.0487446i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.0333006 | − | 0.102489i | 0.00158395 | − | 0.00487489i | ||||
\(443\) | 21.9190 | − | 15.9251i | 1.04141 | − | 0.756625i | 0.0708460 | − | 0.997487i | \(-0.477430\pi\) |
0.970559 | + | 0.240862i | \(0.0774301\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1.45321 | + | 4.47253i | 0.0688889 | + | 0.212018i | ||||
\(446\) | −0.635271 | − | 1.95516i | −0.0300810 | − | 0.0925797i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −15.5114 | + | 11.2697i | −0.732846 | + | 0.532443i | ||||
\(449\) | −8.08057 | + | 24.8694i | −0.381346 | + | 1.17366i | 0.557751 | + | 0.830009i | \(0.311665\pi\) |
−0.939097 | + | 0.343653i | \(0.888335\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −19.2221 | − | 22.7522i | −0.905135 | − | 1.07136i | ||||
\(452\) | −39.6255 | −1.86383 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −1.15669 | + | 0.840383i | −0.0542861 | + | 0.0394412i | ||||
\(455\) | 0.643177 | + | 0.467296i | 0.0301526 | + | 0.0219072i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −4.35548 | − | 13.4048i | −0.203741 | − | 0.627050i | −0.999763 | − | 0.0217820i | \(-0.993066\pi\) |
0.796022 | − | 0.605268i | \(-0.206934\pi\) | |||||||
\(458\) | 1.78668 | + | 1.29810i | 0.0834861 | + | 0.0606562i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 2.84687 | − | 8.76177i | 0.132736 | − | 0.408519i | ||||
\(461\) | −0.212479 | −0.00989612 | −0.00494806 | − | 0.999988i | \(-0.501575\pi\) | ||||
−0.00494806 | + | 0.999988i | \(0.501575\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −9.01059 | −0.418758 | −0.209379 | − | 0.977835i | \(-0.567144\pi\) | ||||
−0.209379 | + | 0.977835i | \(0.567144\pi\) | |||||||
\(464\) | 1.80175 | − | 5.54522i | 0.0836441 | − | 0.257430i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0.393899 | + | 0.286184i | 0.0182470 | + | 0.0132572i | ||||
\(467\) | 1.83401 | + | 5.64451i | 0.0848679 | + | 0.261197i | 0.984481 | − | 0.175491i | \(-0.0561514\pi\) |
−0.899613 | + | 0.436688i | \(0.856151\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −14.0281 | − | 10.1920i | −0.647758 | − | 0.470624i | ||||
\(470\) | 0.107553 | − | 0.0781419i | 0.00496105 | − | 0.00360442i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −2.28299 | −0.105083 | ||||||||
\(473\) | −1.53241 | − | 20.9038i | −0.0704604 | − | 0.961156i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.167245 | − | 0.514727i | 0.00767373 | − | 0.0236173i | ||||
\(476\) | −14.5127 | + | 10.5441i | −0.665187 | + | 0.483286i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0.0258831 | + | 0.0796599i | 0.00118386 | + | 0.00364356i | ||||
\(479\) | 9.48284 | + | 29.1852i | 0.433282 | + | 1.33351i | 0.894837 | + | 0.446394i | \(0.147292\pi\) |
−0.461555 | + | 0.887112i | \(0.652708\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.598198 | − | 0.434616i | 0.0272755 | − | 0.0198168i | ||||
\(482\) | 0.320229 | − | 0.985563i | 0.0145860 | − | 0.0448912i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −19.4134 | − | 10.1553i | −0.882427 | − | 0.461607i | ||||
\(485\) | 11.0077 | 0.499832 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −32.3998 | + | 23.5398i | −1.46818 | + | 1.06669i | −0.487038 | + | 0.873381i | \(0.661923\pi\) |
−0.981138 | + | 0.193311i | \(0.938077\pi\) | |||||||
\(488\) | −1.90042 | − | 1.38074i | −0.0860281 | − | 0.0625031i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.0270040 | − | 0.0831097i | −0.00121992 | − | 0.00375452i | ||||
\(491\) | −15.7927 | − | 11.4740i | −0.712713 | − | 0.517816i | 0.171335 | − | 0.985213i | \(-0.445192\pi\) |
−0.884048 | + | 0.467397i | \(0.845192\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 1.67161 | − | 5.14469i | 0.0752856 | − | 0.231705i | ||||
\(494\) | 0.0159128 | 0.000715950 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 3.51962 | 0.158036 | ||||||||
\(497\) | 7.07561 | − | 21.7765i | 0.317384 | − | 0.976809i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −7.50690 | − | 5.45408i | −0.336055 | − | 0.244158i | 0.406941 | − | 0.913455i | \(-0.366596\pi\) |
−0.742995 | + | 0.669296i | \(0.766596\pi\) | |||||||
\(500\) | −0.615482 | − | 1.89426i | −0.0275252 | − | 0.0847138i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0.0654117 | + | 0.0475243i | 0.00291946 | + | 0.00212112i | ||||
\(503\) | 15.7812 | − | 11.4657i | 0.703651 | − | 0.511232i | −0.177468 | − | 0.984126i | \(-0.556791\pi\) |
0.881119 | + | 0.472894i | \(0.156791\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 6.71144 | 0.298655 | ||||||||
\(506\) | 1.35387 | + | 0.332726i | 0.0601871 | + | 0.0147915i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 7.45356 | − | 22.9397i | 0.330698 | − | 1.01779i | ||||
\(509\) | −8.55440 | + | 6.21513i | −0.379167 | + | 0.275481i | −0.761002 | − | 0.648750i | \(-0.775292\pi\) |
0.381835 | + | 0.924231i | \(0.375292\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −4.70287 | − | 14.4739i | −0.208043 | − | 0.640289i | ||||
\(512\) | 2.20971 | + | 6.80077i | 0.0976561 | + | 0.300555i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 1.17729 | − | 0.855351i | 0.0519280 | − | 0.0377279i | ||||
\(515\) | 4.82169 | − | 14.8396i | 0.212469 | − | 0.653912i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3.13112 | − | 3.70614i | −0.137707 | − | 0.162996i | ||||
\(518\) | 0.510390 | 0.0224252 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.0949500 | − | 0.0689852i | 0.00416383 | − | 0.00302520i | ||||
\(521\) | 6.77644 | + | 4.92337i | 0.296881 | + | 0.215697i | 0.726247 | − | 0.687434i | \(-0.241263\pi\) |
−0.429366 | + | 0.903131i | \(0.641263\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 10.6523 | + | 32.7846i | 0.465795 | + | 1.43357i | 0.857980 | + | 0.513683i | \(0.171719\pi\) |
−0.392186 | + | 0.919886i | \(0.628281\pi\) | |||||||
\(524\) | 30.1391 | + | 21.8974i | 1.31663 | + | 0.956591i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0.598043 | − | 1.84059i | 0.0260759 | − | 0.0802534i | ||||
\(527\) | 3.26541 | 0.142243 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −1.60536 | −0.0697983 | ||||||||
\(530\) | −0.290083 | + | 0.892783i | −0.0126004 | + | 0.0387800i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −2.14301 | − | 1.55698i | −0.0929111 | − | 0.0675038i | ||||
\(533\) | −0.897834 | − | 2.76325i | −0.0388895 | − | 0.119690i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 7.26833 | + | 5.28075i | 0.314237 | + | 0.228307i | ||||
\(536\) | −2.07092 | + | 1.50461i | −0.0894502 | + | 0.0649894i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −2.75213 | −0.118653 | ||||||||
\(539\) | −2.95291 | + | 1.20462i | −0.127191 | + | 0.0518869i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −7.43553 | + | 22.8842i | −0.319678 | + | 0.983868i | 0.654108 | + | 0.756402i | \(0.273044\pi\) |
−0.973786 | + | 0.227467i | \(0.926956\pi\) | |||||||
\(542\) | −0.442504 | + | 0.321498i | −0.0190072 | + | 0.0138095i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 1.22836 | + | 3.78051i | 0.0526656 | + | 0.162088i | ||||
\(545\) | −3.32766 | − | 10.2415i | −0.142541 | − | 0.438697i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 17.9233 | − | 13.0220i | 0.766343 | − | 0.556781i | −0.134506 | − | 0.990913i | \(-0.542945\pi\) |
0.900849 | + | 0.434132i | \(0.142945\pi\) | |||||||
\(548\) | 9.71563 | − | 29.9016i | 0.415031 | − | 1.27733i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.279083 | − | 0.113850i | 0.0119001 | − | 0.00485459i | ||||
\(551\) | 0.798784 | 0.0340293 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 23.0707 | − | 16.7619i | 0.981068 | − | 0.712787i | ||||
\(554\) | 2.06135 | + | 1.49766i | 0.0875782 | + | 0.0636293i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −8.51553 | − | 26.2081i | −0.361139 | − | 1.11147i | ||||
\(557\) | 6.22550 | + | 4.52309i | 0.263783 | + | 0.191649i | 0.711813 | − | 0.702369i | \(-0.247874\pi\) |
−0.448030 | + | 0.894018i | \(0.647874\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.631809 | − | 1.94451i | 0.0267227 | − | 0.0822439i | ||||
\(560\) | −9.70768 | −0.410224 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 2.38367 | 0.100549 | ||||||||
\(563\) | 10.0877 | − | 31.0469i | 0.425148 | − | 1.30847i | −0.477705 | − | 0.878520i | \(-0.658531\pi\) |
0.902853 | − | 0.429950i | \(-0.141469\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −16.0953 | − | 11.6939i | −0.677135 | − | 0.491967i | ||||
\(566\) | 0.348252 | + | 1.07181i | 0.0146381 | + | 0.0450515i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −2.73466 | − | 1.98685i | −0.114744 | − | 0.0833662i | ||||
\(569\) | −13.2440 | + | 9.62230i | −0.555215 | + | 0.403388i | −0.829705 | − | 0.558203i | \(-0.811491\pi\) |
0.274489 | + | 0.961590i | \(0.411491\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 14.2204 | 0.595107 | 0.297554 | − | 0.954705i | \(-0.403829\pi\) | ||||
0.297554 | + | 0.954705i | \(0.403829\pi\) | |||||||
\(572\) | −1.37925 | − | 1.63254i | −0.0576693 | − | 0.0682600i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0.619742 | − | 1.90737i | 0.0258675 | − | 0.0796121i | ||||
\(575\) | 3.74205 | − | 2.71876i | 0.156054 | − | 0.113380i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 6.75349 | + | 20.7851i | 0.281151 | + | 0.865295i | 0.987526 | + | 0.157457i | \(0.0503295\pi\) |
−0.706374 | + | 0.707838i | \(0.749671\pi\) | |||||||
\(578\) | −0.100159 | − | 0.308257i | −0.00416605 | − | 0.0128218i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 2.37820 | − | 1.72787i | 0.0987495 | − | 0.0717457i | ||||
\(581\) | −13.1930 | + | 40.6040i | −0.547340 | + | 1.68454i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 33.2688 | + | 8.17608i | 1.37785 | + | 0.338619i | ||||
\(584\) | −2.24670 | −0.0929690 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −2.18945 | + | 1.59073i | −0.0904452 | + | 0.0657123i | ||||
\(587\) | −31.1788 | − | 22.6527i | −1.28689 | − | 0.934977i | −0.287148 | − | 0.957886i | \(-0.592707\pi\) |
−0.999738 | + | 0.0229093i | \(0.992707\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.149003 | + | 0.458585i | 0.00613957 | + | 0.0188957i | ||||
\(590\) | −0.462699 | − | 0.336170i | −0.0190490 | − | 0.0138399i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −2.79005 | + | 8.58689i | −0.114670 | + | 0.352919i | ||||
\(593\) | −30.7989 | −1.26476 | −0.632379 | − | 0.774659i | \(-0.717921\pi\) | ||||
−0.632379 | + | 0.774659i | \(0.717921\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −9.00651 | −0.369231 | ||||||||
\(596\) | −5.56268 | + | 17.1202i | −0.227856 | + | 0.701270i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0.110023 | + | 0.0799367i | 0.00449919 | + | 0.00326886i | ||||
\(599\) | 11.6618 | + | 35.8914i | 0.476489 | + | 1.46648i | 0.843939 | + | 0.536439i | \(0.180231\pi\) |
−0.367451 | + | 0.930043i | \(0.619769\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 18.5724 | + | 13.4937i | 0.757585 | + | 0.550417i | 0.898169 | − | 0.439651i | \(-0.144898\pi\) |
−0.140584 | + | 0.990069i | \(0.544898\pi\) | |||||||
\(602\) | 1.14176 | − | 0.829539i | 0.0465348 | − | 0.0338095i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 17.6299 | 0.717351 | ||||||||
\(605\) | −4.88849 | − | 9.85407i | −0.198745 | − | 0.400625i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 3.47703 | − | 10.7012i | 0.141128 | − | 0.434348i | −0.855365 | − | 0.518027i | \(-0.826667\pi\) |
0.996493 | + | 0.0836784i | \(0.0266668\pi\) | |||||||
\(608\) | −0.474874 | + | 0.345016i | −0.0192587 | + | 0.0139923i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.181850 | − | 0.559676i | −0.00736288 | − | 0.0226606i | ||||
\(611\) | −0.146250 | − | 0.450110i | −0.00591662 | − | 0.0182095i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −36.2214 | + | 26.3164i | −1.46297 | + | 1.06291i | −0.480390 | + | 0.877055i | \(0.659505\pi\) |
−0.982578 | + | 0.185853i | \(0.940495\pi\) | |||||||
\(614\) | 0.380455 | − | 1.17092i | 0.0153539 | − | 0.0472545i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.216158 | − | 2.94863i | −0.00870926 | − | 0.118804i | ||||
\(617\) | 16.4108 | 0.660673 | 0.330337 | − | 0.943863i | \(-0.392838\pi\) | ||||
0.330337 | + | 0.943863i | \(0.392838\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −1.21920 | + | 0.885800i | −0.0490037 | + | 0.0356033i | −0.612017 | − | 0.790844i | \(-0.709642\pi\) |
0.563014 | + | 0.826448i | \(0.309642\pi\) | |||||||
\(620\) | 1.43560 | + | 1.04302i | 0.0576550 | + | 0.0418888i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0.245784 | + | 0.756446i | 0.00985505 | + | 0.0303307i | ||||
\(623\) | 9.34903 | + | 6.79247i | 0.374561 | + | 0.272134i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0.309017 | − | 0.951057i | 0.0123607 | − | 0.0380423i | ||||
\(626\) | 1.47329 | 0.0588847 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −23.3813 | −0.933015 | ||||||||
\(629\) | −2.58853 | + | 7.96667i | −0.103211 | + | 0.317652i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 26.9869 | + | 19.6071i | 1.07433 | + | 0.780548i | 0.976686 | − | 0.214674i | \(-0.0688688\pi\) |
0.0976458 | + | 0.995221i | \(0.468869\pi\) | |||||||
\(632\) | −1.30092 | − | 4.00382i | −0.0517478 | − | 0.159263i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0.432504 | + | 0.314232i | 0.0171769 | + | 0.0124798i | ||||
\(635\) | 9.79730 | − | 7.11816i | 0.388794 | − | 0.282475i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.311095 | −0.0123260 | ||||||||
\(638\) | 0.287092 | + | 0.339815i | 0.0113661 | + | 0.0134534i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.889407 | + | 2.73731i | −0.0351569 | + | 0.108202i | ||||
\(641\) | −6.96411 | + | 5.05972i | −0.275066 | + | 0.199847i | −0.716762 | − | 0.697318i | \(-0.754377\pi\) |
0.441697 | + | 0.897164i | \(0.354377\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −3.66045 | − | 11.2657i | −0.144354 | − | 0.444276i | 0.852573 | − | 0.522608i | \(-0.175041\pi\) |
−0.996927 | + | 0.0783317i | \(0.975041\pi\) | |||||||
\(644\) | −6.99568 | − | 21.5305i | −0.275668 | − | 0.848420i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.145843 | + | 0.105961i | −0.00573813 | + | 0.00416900i | ||||
\(647\) | −6.86541 | + | 21.1295i | −0.269907 | + | 0.830688i | 0.720615 | + | 0.693335i | \(0.243859\pi\) |
−0.990522 | + | 0.137353i | \(0.956141\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −11.0011 | + | 17.7379i | −0.431831 | + | 0.696275i | ||||
\(650\) | 0.0294019 | 0.00115324 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 12.2788 | − | 8.92107i | 0.480875 | − | 0.349376i | ||||
\(653\) | −5.54195 | − | 4.02646i | −0.216873 | − | 0.157568i | 0.474045 | − | 0.880501i | \(-0.342793\pi\) |
−0.690918 | + | 0.722933i | \(0.742793\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 5.77993 | + | 17.7888i | 0.225841 | + | 0.695066i | ||||
\(656\) | 28.7021 | + | 20.8533i | 1.12063 | + | 0.814185i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0.100951 | − | 0.310694i | 0.00393547 | − | 0.0121121i | ||||
\(659\) | −10.7882 | −0.420248 | −0.210124 | − | 0.977675i | \(-0.567387\pi\) | ||||
−0.210124 | + | 0.977675i | \(0.567387\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 24.3271 | 0.946214 | 0.473107 | − | 0.881005i | \(-0.343132\pi\) | ||||
0.473107 | + | 0.881005i | \(0.343132\pi\) | |||||||
\(662\) | 0.378483 | − | 1.16485i | 0.0147102 | − | 0.0452732i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 5.09900 | + | 3.70464i | 0.197880 | + | 0.143768i | ||||
\(665\) | −0.410975 | − | 1.26485i | −0.0159369 | − | 0.0490488i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 5.52292 | + | 4.01263i | 0.213848 | + | 0.155370i | ||||
\(668\) | 16.3025 | − | 11.8444i | 0.630761 | − | 0.458275i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.641274 | −0.0247746 | ||||||||
\(671\) | −19.8855 | + | 8.11216i | −0.767669 | + | 0.313167i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 10.5821 | − | 32.5684i | 0.407910 | − | 1.25542i | −0.510530 | − | 0.859860i | \(-0.670551\pi\) |
0.918441 | − | 0.395559i | \(-0.129449\pi\) | |||||||
\(674\) | 1.11463 | − | 0.809826i | 0.0429340 | − | 0.0311933i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 7.93684 | + | 24.4271i | 0.305263 | + | 0.939503i | ||||
\(677\) | −5.47487 | − | 16.8499i | −0.210416 | − | 0.647595i | −0.999447 | − | 0.0332415i | \(-0.989417\pi\) |
0.789031 | − | 0.614353i | \(-0.210583\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 21.8834 | − | 15.8992i | 0.839807 | − | 0.610156i | ||||
\(680\) | −0.410869 | + | 1.26452i | −0.0157561 | + | 0.0484923i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.141536 | + | 0.228209i | −0.00541968 | + | 0.00873858i | ||||
\(683\) | 19.2788 | 0.737683 | 0.368842 | − | 0.929492i | \(-0.379754\pi\) | ||||
0.368842 | + | 0.929492i | \(0.379754\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 12.7707 | − | 9.27843i | 0.487942 | − | 0.354511i | ||||
\(686\) | −1.43841 | − | 1.04507i | −0.0549187 | − | 0.0399008i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 7.71486 | + | 23.7439i | 0.294126 | + | 0.905228i | ||||
\(689\) | 2.70361 | + | 1.96429i | 0.102999 | + | 0.0748334i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −8.42752 | + | 25.9372i | −0.320598 | + | 0.986699i | 0.652791 | + | 0.757538i | \(0.273598\pi\) |
−0.973389 | + | 0.229161i | \(0.926402\pi\) | |||||||
\(692\) | −19.3103 | −0.734067 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 1.57750 | 0.0598812 | ||||||||
\(695\) | 4.27542 | − | 13.1584i | 0.162176 | − | 0.499126i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 26.6290 | + | 19.3471i | 1.00865 | + | 0.732824i | ||||
\(698\) | −0.137393 | − | 0.422853i | −0.00520041 | − | 0.0160052i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −3.95961 | − | 2.87683i | −0.149659 | − | 0.108734i | ||||
\(701\) | 31.7252 | − | 23.0497i | 1.19824 | − | 0.870574i | 0.204132 | − | 0.978943i | \(-0.434563\pi\) |
0.994111 | + | 0.108369i | \(0.0345628\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −1.23693 | −0.0466519 | ||||||||
\(704\) | 25.1301 | + | 6.17592i | 0.947126 | + | 0.232764i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0.261922 | − | 0.806113i | 0.00985757 | − | 0.0303385i | ||||
\(707\) | 13.3425 | − | 9.69386i | 0.501794 | − | 0.364575i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 8.72458 | + | 26.8515i | 0.327658 | + | 1.00843i | 0.970226 | + | 0.242200i | \(0.0778691\pi\) |
−0.642568 | + | 0.766229i | \(0.722131\pi\) | |||||||
\(710\) | −0.261677 | − | 0.805359i | −0.00982057 | − | 0.0302246i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 1.38016 | − | 1.00275i | 0.0517239 | − | 0.0375796i | ||||
\(713\) | −1.27344 | + | 3.91924i | −0.0476906 | + | 0.146777i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.0784503 | − | 1.07015i | −0.00293387 | − | 0.0400212i | ||||
\(716\) | −36.1666 | −1.35161 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −2.13041 | + | 1.54784i | −0.0795063 | + | 0.0577647i | ||||
\(719\) | −34.1565 | − | 24.8162i | −1.27382 | − | 0.925486i | −0.274475 | − | 0.961594i | \(-0.588504\pi\) |
−0.999348 | + | 0.0361078i | \(0.988504\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −11.8484 | − | 36.4657i | −0.441259 | − | 1.35806i | ||||
\(722\) | 1.37540 | + | 0.999284i | 0.0511869 | + | 0.0371895i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 2.71382 | − | 8.35228i | 0.100858 | − | 0.310410i | ||||
\(725\) | 1.47591 | 0.0548137 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 5.10543 | 0.189350 | 0.0946750 | − | 0.995508i | \(-0.469819\pi\) | ||||
0.0946750 | + | 0.995508i | \(0.469819\pi\) | |||||||
\(728\) | 0.0891214 | − | 0.274287i | 0.00330306 | − | 0.0101658i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −0.455344 | − | 0.330827i | −0.0168531 | − | 0.0122445i | ||||
\(731\) | 7.15763 | + | 22.0289i | 0.264734 | + | 0.814769i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 15.5996 | + | 11.3338i | 0.576185 | + | 0.418623i | 0.837347 | − | 0.546672i | \(-0.184106\pi\) |
−0.261162 | + | 0.965295i | \(0.584106\pi\) | |||||||
\(734\) | 1.02547 | − | 0.745045i | 0.0378507 | − | 0.0275001i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −5.01652 | −0.184911 | ||||||||
\(737\) | 1.71105 | + | 23.3406i | 0.0630274 | + | 0.859762i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −11.0939 | + | 34.1435i | −0.408096 | + | 1.25599i | 0.510187 | + | 0.860064i | \(0.329576\pi\) |
−0.918282 | + | 0.395926i | \(0.870424\pi\) | |||||||
\(740\) | −3.68270 | + | 2.67564i | −0.135379 | + | 0.0983584i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.712826 | + | 2.19385i | 0.0261687 | + | 0.0805389i | ||||
\(743\) | 3.81228 | + | 11.7330i | 0.139859 | + | 0.430442i | 0.996314 | − | 0.0857798i | \(-0.0273381\pi\) |
−0.856455 | + | 0.516221i | \(0.827338\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −7.31184 | + | 5.31236i | −0.267885 | + | 0.194630i | ||||
\(746\) | −0.618169 | + | 1.90253i | −0.0226328 | + | 0.0696565i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 23.5120 | + | 5.77826i | 0.859684 | + | 0.211274i | ||||
\(749\) | 22.0769 | 0.806674 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −5.50024 | + | 3.99616i | −0.200707 | + | 0.145822i | −0.683599 | − | 0.729858i | \(-0.739586\pi\) |
0.482892 | + | 0.875680i | \(0.339586\pi\) | |||||||
\(752\) | 4.67533 | + | 3.39683i | 0.170492 | + | 0.123870i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.0134096 | + | 0.0412705i | 0.000488349 | + | 0.00150298i | ||||
\(755\) | 7.16102 | + | 5.20278i | 0.260616 | + | 0.189349i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −3.16082 | + | 9.72801i | −0.114882 | + | 0.353571i | −0.991922 | − | 0.126846i | \(-0.959515\pi\) |
0.877040 | + | 0.480417i | \(0.159515\pi\) | |||||||
\(758\) | −0.172176 | −0.00625370 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.196335 | −0.00712181 | ||||||||
\(761\) | 7.57503 | − | 23.3136i | 0.274595 | − | 0.845116i | −0.714732 | − | 0.699399i | \(-0.753451\pi\) |
0.989326 | − | 0.145717i | \(-0.0465488\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −21.4080 | − | 15.5538i | −0.775022 | − | 0.563086i | ||||
\(764\) | −7.56166 | − | 23.2724i | −0.273571 | − | 0.841966i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −0.0704909 | − | 0.0512147i | −0.00254694 | − | 0.00185046i | ||||
\(767\) | −1.64720 | + | 1.19676i | −0.0594768 | + | 0.0432125i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 27.2852 | 0.983930 | 0.491965 | − | 0.870615i | \(-0.336279\pi\) | ||||
0.491965 | + | 0.870615i | \(0.336279\pi\) | |||||||
\(770\) | 0.390378 | − | 0.629437i | 0.0140682 | − | 0.0226833i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −14.3385 | + | 44.1293i | −0.516053 | + | 1.58825i | ||||
\(773\) | 7.01865 | − | 5.09935i | 0.252443 | − | 0.183411i | −0.454366 | − | 0.890815i | \(-0.650134\pi\) |
0.706809 | + | 0.707404i | \(0.250134\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.275312 | + | 0.847323i | 0.00988950 | + | 0.0304367i | ||||
\(776\) | −1.23397 | − | 3.79776i | −0.0442968 | − | 0.136332i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0.480011 | − | 0.348748i | 0.0172092 | − | 0.0125032i | ||||
\(779\) | −1.50195 | + | 4.62253i | −0.0538130 | + | 0.165619i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −28.6147 | + | 11.6732i | −1.02391 | + | 0.417700i | ||||
\(782\) | −1.54067 | −0.0550944 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 3.07321 | − | 2.23282i | 0.109758 | − | 0.0797436i | ||||
\(785\) | −9.49715 | − | 6.90008i | −0.338968 | − | 0.246274i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −9.29945 | − | 28.6208i | −0.331490 | − | 1.02022i | −0.968425 | − | 0.249303i | \(-0.919798\pi\) |
0.636936 | − | 0.770917i | \(-0.280202\pi\) | |||||||
\(788\) | 31.7323 | + | 23.0548i | 1.13041 | + | 0.821294i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0.325903 | − | 1.00303i | 0.0115951 | − | 0.0356861i | ||||
\(791\) | −48.8882 | −1.73826 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −2.09497 | −0.0743945 | ||||||||
\(794\) | −0.599915 | + | 1.84635i | −0.0212902 | + | 0.0655245i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 35.7855 | + | 25.9997i | 1.26838 | + | 0.921533i | ||||
\(797\) | 9.94562 | + | 30.6095i | 0.352292 | + | 1.08424i | 0.957563 | + | 0.288224i | \(0.0930647\pi\) |
−0.605271 | + | 0.796019i | \(0.706935\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 4.33764 | + | 3.15148i | 0.153455 | + | 0.111491i | ||||
\(800\) | −0.877420 | + | 0.637483i | −0.0310215 | + | 0.0225384i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 1.14986 | 0.0406029 | ||||||||
\(803\) | −10.8262 | + | 17.4560i | −0.382050 | + | 0.616009i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 3.51234 | − | 10.8099i | 0.123794 | − | 0.380998i | ||||
\(806\) | −0.0211922 | + | 0.0153970i | −0.000746462 | + | 0.000542337i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −0.752358 | − | 2.31552i | −0.0264679 | − | 0.0814597i | ||||
\(809\) | −13.0540 | − | 40.1760i | −0.458953 | − | 1.41251i | −0.866431 | − | 0.499297i | \(-0.833591\pi\) |
0.407477 | − | 0.913215i | \(-0.366409\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 38.2700 | − | 27.8047i | 1.34384 | − | 0.976357i | 0.344546 | − | 0.938769i | \(-0.388033\pi\) |
0.999293 | − | 0.0375875i | \(-0.0119673\pi\) | |||||||
\(812\) | 2.23221 | − | 6.87005i | 0.0783353 | − | 0.241091i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −0.444569 | − | 0.526211i | −0.0155821 | − | 0.0184437i | ||||
\(815\) | 7.62018 | 0.266923 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −2.76707 | + | 2.01040i | −0.0968076 | + | 0.0703349i | ||||
\(818\) | −0.368176 | − | 0.267496i | −0.0128730 | − | 0.00935276i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 5.52736 | + | 17.0115i | 0.193024 | + | 0.594066i | ||||
\(821\) | 21.6295 | + | 15.7148i | 0.754876 | + | 0.548449i | 0.897334 | − | 0.441351i | \(-0.145501\pi\) |
−0.142458 | + | 0.989801i | \(0.545501\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −5.75152 | + | 17.7014i | −0.200485 | + | 0.617031i | 0.799383 | + | 0.600822i | \(0.205160\pi\) |
−0.999869 | + | 0.0162092i | \(0.994840\pi\) | |||||||
\(824\) | −5.66035 | −0.197188 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −1.40541 | −0.0489004 | ||||||||
\(827\) | −1.38068 | + | 4.24930i | −0.0480110 | + | 0.147763i | −0.972188 | − | 0.234202i | \(-0.924752\pi\) |
0.924177 | + | 0.381965i | \(0.124752\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −30.3591 | − | 22.0572i | −1.05441 | − | 0.766077i | −0.0813673 | − | 0.996684i | \(-0.525929\pi\) |
−0.973047 | + | 0.230607i | \(0.925929\pi\) | |||||||
\(830\) | 0.487918 | + | 1.50166i | 0.0169359 | + | 0.0521233i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 2.04221 | + | 1.48375i | 0.0708009 | + | 0.0514399i | ||||
\(833\) | 2.85124 | − | 2.07155i | 0.0987896 | − | 0.0717749i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 10.1173 | 0.350122 | ||||||||
\(836\) | 0.261389 | + | 3.56563i | 0.00904032 | + | 0.123320i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −0.261659 | + | 0.805303i | −0.00903885 | + | 0.0278187i | ||||
\(839\) | 25.8181 | − | 18.7579i | 0.891339 | − | 0.647595i | −0.0448882 | − | 0.998992i | \(-0.514293\pi\) |
0.936227 | + | 0.351397i | \(0.114293\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −8.28836 | − | 25.5090i | −0.285806 | − | 0.879619i | ||||
\(842\) | 0.664965 | + | 2.04655i | 0.0229162 | + | 0.0705288i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −20.9343 | + | 15.2097i | −0.720589 | + | 0.523539i | ||||
\(845\) | −3.98488 | + | 12.2642i | −0.137084 | + | 0.421901i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −23.9514 | − | 12.5292i | −0.822979 | − | 0.430509i | ||||
\(848\) | −40.8065 | −1.40130 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −0.269474 | + | 0.195784i | −0.00924287 | + | 0.00671534i | ||||
\(851\) | −8.55236 | − | 6.21365i | −0.293171 | − | 0.213001i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 16.3512 | + | 50.3237i | 0.559853 | + | 1.72305i | 0.682769 | + | 0.730634i | \(0.260776\pi\) |
−0.122916 | + | 0.992417i | \(0.539224\pi\) | |||||||
\(854\) | −1.16990 | − | 0.849985i | −0.0400333 | − | 0.0290859i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 1.00713 | − | 3.09963i | 0.0344230 | − | 0.105943i | ||||
\(857\) | −17.8209 | −0.608750 | −0.304375 | − | 0.952552i | \(-0.598448\pi\) | ||||
−0.304375 | + | 0.952552i | \(0.598448\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 7.61904 | 0.259958 | 0.129979 | − | 0.991517i | \(-0.458509\pi\) | ||||
0.129979 | + | 0.991517i | \(0.458509\pi\) | |||||||
\(860\) | −3.88962 | + | 11.9710i | −0.132635 | + | 0.408209i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 1.89004 | + | 1.37320i | 0.0643752 | + | 0.0467713i | ||||
\(863\) | 0.623314 | + | 1.91836i | 0.0212178 | + | 0.0653018i | 0.961105 | − | 0.276184i | \(-0.0890699\pi\) |
−0.939887 | + | 0.341486i | \(0.889070\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −7.84357 | − | 5.69869i | −0.266689 | − | 0.193761i | ||||
\(866\) | −1.46269 | + | 1.06271i | −0.0497044 | + | 0.0361123i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 4.36051 | 0.148005 | ||||||||
\(869\) | −37.3770 | − | 9.18569i | −1.26793 | − | 0.311603i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.705461 | + | 2.17119i | −0.0239036 | + | 0.0735678i | ||||
\(872\) | −3.16039 | + | 2.29616i | −0.107024 | + | 0.0777577i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −0.0703023 | − | 0.216368i | −0.00237801 | − | 0.00731877i | ||||
\(875\) | −0.759354 | − | 2.33705i | −0.0256709 | − | 0.0790068i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −0.929313 | + | 0.675185i | −0.0313807 | + | 0.0227994i | −0.603365 | − | 0.797465i | \(-0.706174\pi\) |
0.571984 | + | 0.820265i | \(0.306174\pi\) | |||||||
\(878\) | −0.0797089 | + | 0.245319i | −0.00269005 | + | 0.00827911i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 8.45576 | + | 10.0086i | 0.285044 | + | 0.337390i | ||||
\(881\) | 36.3252 | 1.22383 | 0.611913 | − | 0.790925i | \(-0.290400\pi\) | ||||
0.611913 | + | 0.790925i | \(0.290400\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 18.5815 | − | 13.5002i | 0.625316 | − | 0.454319i | −0.229458 | − | 0.973318i | \(-0.573695\pi\) |
0.854774 | + | 0.519000i | \(0.173695\pi\) | |||||||
\(884\) | 1.91072 | + | 1.38822i | 0.0642643 | + | 0.0466908i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −0.760870 | − | 2.34172i | −0.0255619 | − | 0.0786715i | ||||
\(887\) | 15.9618 | + | 11.5969i | 0.535946 | + | 0.389387i | 0.822577 | − | 0.568654i | \(-0.192536\pi\) |
−0.286631 | + | 0.958041i | \(0.592536\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 9.19588 | − | 28.3020i | 0.308420 | − | 0.949219i | ||||
\(890\) | 0.427377 | 0.0143257 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 45.0553 | 1.50856 | ||||||||
\(893\) | −0.244655 | + | 0.752971i | −0.00818707 | + | 0.0251972i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −14.6904 | − | 10.6732i | −0.491045 | − | 0.356765i | ||||
\(896\) | 2.18556 | + | 6.72646i | 0.0730144 | + | 0.224715i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 1.92257 | + | 1.39683i | 0.0641569 | + | 0.0466127i | ||||
\(899\) | −1.06380 | + | 0.772894i | −0.0354796 | + | 0.0257775i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −37.8591 | −1.26127 | ||||||||
\(902\) | −2.50632 | + | 1.02244i | −0.0834512 | + | 0.0340434i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −2.23023 | + | 6.86396i | −0.0741765 | + | 0.228292i | ||||
\(905\) | 3.56717 | − | 2.59170i | 0.118577 | − | 0.0861510i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 2.34427 | + | 7.21492i | 0.0778402 | + | 0.239567i | 0.982403 | − | 0.186773i | \(-0.0598027\pi\) |
−0.904563 | + | 0.426340i | \(0.859803\pi\) | |||||||
\(908\) | −9.68300 | − | 29.8012i | −0.321342 | − | 0.988988i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0.0584514 | − | 0.0424674i | 0.00193764 | − | 0.00140778i | ||||
\(911\) | 9.97431 | − | 30.6978i | 0.330464 | − | 1.01706i | −0.638450 | − | 0.769663i | \(-0.720424\pi\) |
0.968914 | − | 0.247399i | \(-0.0795760\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 53.3544 | − | 21.7656i | 1.76577 | − | 0.720337i | ||||
\(914\) | −1.28091 | −0.0423687 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −39.1576 | + | 28.4496i | −1.29380 | + | 0.940003i | ||||
\(917\) | 37.1843 | + | 27.0160i | 1.22793 | + | 0.892147i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −2.20447 | − | 6.78467i | −0.0727188 | − | 0.223805i | 0.908091 | − | 0.418773i | \(-0.137540\pi\) |
−0.980810 | + | 0.194968i | \(0.937540\pi\) | |||||||
\(920\) | −1.35749 | − | 0.986274i | −0.0447551 | − | 0.0325165i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −0.00596708 | + | 0.0183648i | −0.000196515 | + | 0.000604812i | ||||
\(923\) | −3.01461 | −0.0992269 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −2.28547 | −0.0751459 | ||||||||
\(926\) | −0.253046 | + | 0.778796i | −0.00831561 | + | 0.0255928i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −1.29499 | − | 0.940864i | −0.0425101 | − | 0.0308854i | ||||
\(929\) | 16.0259 | + | 49.3227i | 0.525793 | + | 1.61823i | 0.762742 | + | 0.646703i | \(0.223853\pi\) |
−0.236948 | + | 0.971522i | \(0.576147\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.421027 | + | 0.305894i | 0.0137986 | + | 0.0100253i | ||||
\(932\) | −8.63284 | + | 6.27212i | −0.282778 | + | 0.205450i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0.539366 | 0.0176486 | ||||||||
\(935\) | 7.84501 | + | 9.28570i | 0.256559 | + | 0.303675i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 13.4538 | − | 41.4066i | 0.439517 | − | 1.35269i | −0.448870 | − | 0.893597i | \(-0.648173\pi\) |
0.888387 | − | 0.459096i | \(-0.151827\pi\) | |||||||
\(938\) | −1.27486 | + | 0.926242i | −0.0416257 | + | 0.0302429i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.900360 | + | 2.77102i | 0.0293665 | + | 0.0903808i | ||||
\(941\) | −4.84617 | − | 14.9150i | −0.157981 | − | 0.486215i | 0.840470 | − | 0.541858i | \(-0.182279\pi\) |
−0.998451 | + | 0.0556434i | \(0.982279\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −33.6057 | + | 24.4160i | −1.09435 | + | 0.795093i | ||||
\(944\) | 7.68268 | − | 23.6449i | 0.250050 | − | 0.769575i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −1.84977 | − | 0.454596i | −0.0601413 | − | 0.0147802i | ||||
\(947\) | −10.8305 | −0.351944 | −0.175972 | − | 0.984395i | \(-0.556307\pi\) | ||||
−0.175972 | + | 0.984395i | \(0.556307\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −1.62102 | + | 1.17774i | −0.0526204 | + | 0.0382309i | ||||
\(950\) | −0.0397917 | − | 0.0289104i | −0.00129101 | − | 0.000937976i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 1.00964 | + | 3.10734i | 0.0327225 | + | 0.100710i | ||||
\(953\) | −26.6128 | − | 19.3353i | −0.862073 | − | 0.626332i | 0.0663755 | − | 0.997795i | \(-0.478856\pi\) |
−0.928448 | + | 0.371462i | \(0.878856\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 3.79651 | − | 11.6845i | 0.122852 | − | 0.378100i | ||||
\(956\) | −1.83570 | −0.0593709 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 2.78882 | 0.0901026 | ||||||||
\(959\) | 11.9867 | − | 36.8913i | 0.387071 | − | 1.19128i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 24.4374 | + | 17.7548i | 0.788302 | + | 0.572735i | ||||
\(962\) | −0.0207651 | − | 0.0639083i | −0.000669493 | − | 0.00206049i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 18.3740 | + | 13.3495i | 0.591788 | + | 0.429959i | ||||
\(965\) | −18.8471 | + | 13.6932i | −0.606711 | + | 0.440801i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −7.65301 | −0.246104 | −0.123052 | − | 0.992400i | \(-0.539268\pi\) | ||||
−0.123052 | + | 0.992400i | \(0.539268\pi\) | |||||||
\(968\) | −2.85176 | + | 2.79123i | −0.0916589 | + | 0.0897135i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0.309130 | − | 0.951405i | 0.00992557 | − | 0.0305478i | ||||
\(971\) | 34.9602 | − | 25.4001i | 1.12193 | − | 0.815127i | 0.137426 | − | 0.990512i | \(-0.456117\pi\) |
0.984500 | + | 0.175385i | \(0.0561170\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −10.5061 | − | 32.3344i | −0.336810 | − | 1.03659i | ||||
\(974\) | 1.12469 | + | 3.46143i | 0.0360373 | + | 0.110911i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 20.6956 | − | 15.0362i | 0.662449 | − | 0.481298i | ||||
\(977\) | 5.45581 | − | 16.7913i | 0.174547 | − | 0.537200i | −0.825066 | − | 0.565037i | \(-0.808862\pi\) |
0.999612 | + | 0.0278370i | \(0.00886193\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1.14033 | − | 15.5553i | −0.0364451 | − | 0.497151i | ||||
\(980\) | 1.91520 | 0.0611789 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −1.43522 | + | 1.04275i | −0.0457998 | + | 0.0332755i | ||||
\(983\) | 9.78842 | + | 7.11170i | 0.312202 | + | 0.226828i | 0.732841 | − | 0.680400i | \(-0.238194\pi\) |
−0.420639 | + | 0.907228i | \(0.638194\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 6.08545 | + | 18.7291i | 0.193899 | + | 0.596758i | ||||
\(986\) | −0.397717 | − | 0.288959i | −0.0126659 | − | 0.00920232i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −0.107770 | + | 0.331681i | −0.00342861 | + | 0.0105522i | ||||
\(989\) | −29.2311 | −0.929494 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −8.45499 | −0.268581 | −0.134291 | − | 0.990942i | \(-0.542876\pi\) | ||||
−0.134291 | + | 0.990942i | \(0.542876\pi\) | |||||||
\(992\) | 0.298590 | − | 0.918965i | 0.00948023 | − | 0.0291772i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −1.68346 | − | 1.22311i | −0.0533961 | − | 0.0387946i | ||||
\(995\) | 6.86275 | + | 21.1214i | 0.217564 | + | 0.669593i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −44.1402 | − | 32.0697i | −1.39793 | − | 1.01566i | −0.994942 | − | 0.100455i | \(-0.967970\pi\) |
−0.402992 | − | 0.915204i | \(-0.632030\pi\) | |||||||
\(998\) | −0.682220 | + | 0.495662i | −0.0215953 | + | 0.0156899i | ||||
\(999\) | 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 | 495.2.n.g.361.2 | yes | 16 | |
3.2 | odd | 2 | 495.2.n.h.361.3 | yes | 16 | ||
11.4 | even | 5 | 5445.2.a.cd.1.4 | 8 | |||
11.5 | even | 5 | inner | 495.2.n.g.181.2 | ✓ | 16 | |
11.7 | odd | 10 | 5445.2.a.cb.1.5 | 8 | |||
33.5 | odd | 10 | 495.2.n.h.181.3 | yes | 16 | ||
33.26 | odd | 10 | 5445.2.a.ca.1.5 | 8 | |||
33.29 | even | 10 | 5445.2.a.cc.1.4 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
495.2.n.g.181.2 | ✓ | 16 | 11.5 | even | 5 | inner | |
495.2.n.g.361.2 | yes | 16 | 1.1 | even | 1 | trivial | |
495.2.n.h.181.3 | yes | 16 | 33.5 | odd | 10 | ||
495.2.n.h.361.3 | yes | 16 | 3.2 | odd | 2 | ||
5445.2.a.ca.1.5 | 8 | 33.26 | odd | 10 | |||
5445.2.a.cb.1.5 | 8 | 11.7 | odd | 10 | |||
5445.2.a.cc.1.4 | 8 | 33.29 | even | 10 | |||
5445.2.a.cd.1.4 | 8 | 11.4 | even | 5 |