Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [810,2,Mod(17,810)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(810, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([22, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("810.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 810 = 2 \cdot 3^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 810.s (of order \(36\), degree \(12\), not 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: | \(6.46788256372\) |
Analytic rank: | \(0\) |
Dimension: | \(216\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{36})\) |
Twist minimal: | no (minimal twist has level 270) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 773.11 | ||
Character | \(\chi\) | \(=\) | 810.773 |
Dual form | 810.2.s.a.197.11 |
$q$-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 \(\left(\mathbb{Z}/810\mathbb{Z}\right)^\times\).
\(n\) | \(487\) | \(731\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{5}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.996195 | + | 0.0871557i | 0.704416 | + | 0.0616284i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.984808 | + | 0.173648i | 0.492404 | + | 0.0868241i | ||||
\(5\) | −2.20857 | − | 0.349587i | −0.987703 | − | 0.156340i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.10212 | − | 0.771712i | −0.416562 | − | 0.291680i | 0.346445 | − | 0.938070i | \(-0.387389\pi\) |
−0.763007 | + | 0.646391i | \(0.776278\pi\) | |||||||
\(8\) | 0.965926 | + | 0.258819i | 0.341506 | + | 0.0915064i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.16970 | − | 0.540747i | −0.686119 | − | 0.170999i | ||||
\(11\) | 1.46618 | − | 4.02828i | 0.442068 | − | 1.21457i | −0.496061 | − | 0.868288i | \(-0.665221\pi\) |
0.938129 | − | 0.346285i | \(-0.112557\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.298865 | − | 3.41605i | −0.0828903 | − | 0.947441i | −0.917797 | − | 0.397050i | \(-0.870034\pi\) |
0.834907 | − | 0.550391i | \(-0.185521\pi\) | |||||||
\(14\) | −1.03067 | − | 0.864832i | −0.275457 | − | 0.231136i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.939693 | + | 0.342020i | 0.234923 | + | 0.0855050i | ||||
\(17\) | −7.43061 | + | 1.99103i | −1.80219 | + | 0.482895i | −0.994317 | − | 0.106464i | \(-0.966047\pi\) |
−0.807871 | + | 0.589359i | \(0.799380\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 6.12582 | − | 3.53674i | 1.40536 | − | 0.811384i | 0.410423 | − | 0.911895i | \(-0.365381\pi\) |
0.994936 | + | 0.100511i | \(0.0320477\pi\) | |||||||
\(20\) | −2.11431 | − | 0.727791i | −0.472775 | − | 0.162739i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.81168 | − | 3.88517i | 0.386252 | − | 0.828321i | ||||
\(23\) | −2.78440 | − | 3.97654i | −0.580588 | − | 0.829166i | 0.416198 | − | 0.909274i | \(-0.363362\pi\) |
−0.996786 | + | 0.0801079i | \(0.974474\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.75558 | + | 1.54418i | 0.951116 | + | 0.308835i | ||||
\(26\) | − | 3.42910i | − | 0.672501i | ||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.951369 | − | 0.951369i | −0.179792 | − | 0.179792i | ||||
\(29\) | −0.00478023 | + | 0.00401109i | −0.000887667 | + | 0.000744841i | −0.643231 | − | 0.765672i | \(-0.722407\pi\) |
0.642344 | + | 0.766417i | \(0.277962\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.582373 | − | 3.30280i | 0.104597 | − | 0.593200i | −0.886783 | − | 0.462186i | \(-0.847065\pi\) |
0.991380 | − | 0.131015i | \(-0.0418235\pi\) | |||||||
\(32\) | 0.906308 | + | 0.422618i | 0.160214 | + | 0.0747091i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −7.57586 | + | 1.33583i | −1.29925 | + | 0.229093i | ||||
\(35\) | 2.16433 | + | 2.08967i | 0.365838 | + | 0.353218i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.24815 | − | 4.65816i | −0.205195 | − | 0.765797i | −0.989390 | − | 0.145283i | \(-0.953591\pi\) |
0.784196 | − | 0.620514i | \(-0.213076\pi\) | |||||||
\(38\) | 6.41076 | − | 2.98938i | 1.03996 | − | 0.484942i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.04284 | − | 0.909296i | −0.323001 | − | 0.143772i | ||||
\(41\) | −0.705833 | + | 0.841179i | −0.110233 | + | 0.131370i | −0.818339 | − | 0.574735i | \(-0.805105\pi\) |
0.708107 | + | 0.706105i | \(0.249549\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.14516 | + | 6.74482i | 0.479632 | + | 1.02857i | 0.986075 | + | 0.166301i | \(0.0531824\pi\) |
−0.506443 | + | 0.862274i | \(0.669040\pi\) | |||||||
\(44\) | 2.14340 | − | 3.71249i | 0.323130 | − | 0.559678i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.42723 | − | 4.20409i | −0.357876 | − | 0.619859i | ||||
\(47\) | 2.04873 | − | 2.92589i | 0.298838 | − | 0.426785i | −0.641450 | − | 0.767165i | \(-0.721667\pi\) |
0.940288 | + | 0.340380i | \(0.110556\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.77501 | − | 4.87681i | −0.253573 | − | 0.696687i | ||||
\(50\) | 4.60290 | + | 1.95278i | 0.650948 | + | 0.276164i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.298865 | − | 3.41605i | 0.0414452 | − | 0.473720i | ||||
\(53\) | 8.13905 | − | 8.13905i | 1.11798 | − | 1.11798i | 0.125947 | − | 0.992037i | \(-0.459803\pi\) |
0.992037 | − | 0.125947i | \(-0.0401971\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −4.64639 | + | 8.38420i | −0.626519 | + | 1.13052i | ||||
\(56\) | −0.864832 | − | 1.03067i | −0.115568 | − | 0.137729i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.00511163 | + | 0.00357920i | −0.000671190 | + | 0.000469972i | ||||
\(59\) | −8.71384 | + | 3.17158i | −1.13444 | + | 0.412904i | −0.839904 | − | 0.542735i | \(-0.817389\pi\) |
−0.294541 | + | 0.955639i | \(0.595167\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.24279 | + | 7.04819i | 0.159122 | + | 0.902428i | 0.954920 | + | 0.296865i | \(0.0959411\pi\) |
−0.795797 | + | 0.605563i | \(0.792948\pi\) | |||||||
\(62\) | 0.868015 | − | 3.23947i | 0.110238 | − | 0.411414i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.866025 | + | 0.500000i | 0.108253 | + | 0.0625000i | ||||
\(65\) | −0.534140 | + | 7.64906i | −0.0662520 | + | 0.948750i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −5.54705 | + | 0.485304i | −0.677680 | + | 0.0592893i | −0.420799 | − | 0.907154i | \(-0.638250\pi\) |
−0.256881 | + | 0.966443i | \(0.582695\pi\) | |||||||
\(68\) | −7.66346 | + | 0.670466i | −0.929331 | + | 0.0813059i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.97397 | + | 2.27035i | 0.235934 | + | 0.271359i | ||||
\(71\) | 2.37880 | + | 1.37340i | 0.282312 | + | 0.162993i | 0.634470 | − | 0.772948i | \(-0.281219\pi\) |
−0.352158 | + | 0.935941i | \(0.614552\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.76825 | + | 10.3313i | −0.323999 | + | 1.20918i | 0.591315 | + | 0.806441i | \(0.298609\pi\) |
−0.915314 | + | 0.402741i | \(0.868058\pi\) | |||||||
\(74\) | −0.837415 | − | 4.74922i | −0.0973475 | − | 0.552085i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 6.64690 | − | 2.41927i | 0.762452 | − | 0.277510i | ||||
\(77\) | −4.72458 | + | 3.30818i | −0.538415 | + | 0.377002i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −3.61314 | − | 4.30597i | −0.406510 | − | 0.484459i | 0.523484 | − | 0.852036i | \(-0.324632\pi\) |
−0.929993 | + | 0.367576i | \(0.880188\pi\) | |||||||
\(80\) | −1.95581 | − | 1.08388i | −0.218667 | − | 0.121182i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −0.776460 | + | 0.776460i | −0.0857457 | + | 0.0857457i | ||||
\(83\) | −1.20379 | + | 13.7594i | −0.132133 | + | 1.51029i | 0.583672 | + | 0.811989i | \(0.301615\pi\) |
−0.715806 | + | 0.698300i | \(0.753940\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 17.1071 | − | 1.79968i | 1.85552 | − | 0.195202i | ||||
\(86\) | 2.54534 | + | 6.99327i | 0.274471 | + | 0.754104i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.45881 | − | 3.51155i | 0.262110 | − | 0.374332i | ||||
\(89\) | 0.692740 | + | 1.19986i | 0.0734303 | + | 0.127185i | 0.900403 | − | 0.435058i | \(-0.143272\pi\) |
−0.826972 | + | 0.562243i | \(0.809939\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.30682 | + | 3.99553i | −0.241820 | + | 0.418845i | ||||
\(92\) | −2.05158 | − | 4.39964i | −0.213892 | − | 0.458694i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 2.29594 | − | 2.73620i | 0.236808 | − | 0.282217i | ||||
\(95\) | −14.7657 | + | 5.66964i | −1.51493 | + | 0.581693i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.62517 | + | 2.15675i | −0.469615 | + | 0.218985i | −0.642995 | − | 0.765870i | \(-0.722309\pi\) |
0.173381 | + | 0.984855i | \(0.444531\pi\) | |||||||
\(98\) | −1.34322 | − | 5.01296i | −0.135685 | − | 0.506385i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 4.41519 | + | 2.34651i | 0.441519 | + | 0.234651i | ||||
\(101\) | 14.0387 | − | 2.47539i | 1.39690 | − | 0.246311i | 0.576030 | − | 0.817428i | \(-0.304601\pi\) |
0.820868 | + | 0.571118i | \(0.193490\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.83486 | + | 0.855607i | 0.180794 | + | 0.0843055i | 0.510908 | − | 0.859636i | \(-0.329309\pi\) |
−0.330114 | + | 0.943941i | \(0.607087\pi\) | |||||||
\(104\) | 0.595456 | − | 3.37700i | 0.0583893 | − | 0.331142i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 8.81744 | − | 7.39871i | 0.856426 | − | 0.718626i | ||||
\(107\) | 6.58564 | + | 6.58564i | 0.636658 | + | 0.636658i | 0.949730 | − | 0.313071i | \(-0.101358\pi\) |
−0.313071 | + | 0.949730i | \(0.601358\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 0.997902i | − | 0.0955817i | −0.998857 | − | 0.0477908i | \(-0.984782\pi\) | ||
0.998857 | − | 0.0477908i | \(-0.0152181\pi\) | |||||||
\(110\) | −5.35944 | + | 7.94733i | −0.511002 | + | 0.757748i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.771712 | − | 1.10212i | −0.0729200 | − | 0.104140i | ||||
\(113\) | 4.69253 | − | 10.0632i | 0.441436 | − | 0.946662i | −0.552167 | − | 0.833733i | \(-0.686199\pi\) |
0.993603 | − | 0.112929i | \(-0.0360231\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.75941 | + | 9.75587i | 0.443817 | + | 0.909739i | ||||
\(116\) | −0.00540413 | + | 0.00312007i | −0.000501761 | + | 0.000289692i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −8.95710 | + | 2.40005i | −0.824568 | + | 0.220942i | ||||
\(119\) | 9.72592 | + | 3.53994i | 0.891573 | + | 0.324506i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −5.65090 | − | 4.74167i | −0.513719 | − | 0.431061i | ||||
\(122\) | 0.623767 | + | 7.12968i | 0.0564732 | + | 0.645491i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 1.14705 | − | 3.15149i | 0.103008 | − | 0.283013i | ||||
\(125\) | −9.96321 | − | 5.07291i | −0.891137 | − | 0.453735i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 10.7439 | + | 2.87882i | 0.953368 | + | 0.255454i | 0.701791 | − | 0.712383i | \(-0.252384\pi\) |
0.251577 | + | 0.967837i | \(0.419051\pi\) | |||||||
\(128\) | 0.819152 | + | 0.573576i | 0.0724035 | + | 0.0506975i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.19877 | + | 7.57340i | −0.105139 | + | 0.664231i | ||||
\(131\) | 7.17885 | + | 1.26582i | 0.627219 | + | 0.110596i | 0.478218 | − | 0.878241i | \(-0.341283\pi\) |
0.149001 | + | 0.988837i | \(0.452394\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −9.48073 | − | 0.829456i | −0.822084 | − | 0.0719230i | ||||
\(134\) | −5.56824 | −0.481023 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −7.69273 | −0.659646 | ||||||||
\(137\) | −11.8699 | − | 1.03848i | −1.01411 | − | 0.0887234i | −0.432035 | − | 0.901857i | \(-0.642204\pi\) |
−0.582078 | + | 0.813133i | \(0.697760\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −6.01894 | − | 1.06130i | −0.510520 | − | 0.0900184i | −0.0875463 | − | 0.996160i | \(-0.527903\pi\) |
−0.422974 | + | 0.906142i | \(0.639014\pi\) | |||||||
\(140\) | 1.76858 | + | 2.43375i | 0.149472 | + | 0.205690i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 2.25005 | + | 1.57550i | 0.188820 | + | 0.132213i | ||||
\(143\) | −14.1990 | − | 3.80461i | −1.18738 | − | 0.318157i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.0119597 | − | 0.00718767i | 0.000993200 | − | 0.000596904i | ||||
\(146\) | −3.65814 | + | 10.0507i | −0.302750 | + | 0.831799i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.420307 | − | 4.80413i | −0.0345490 | − | 0.394897i | ||||
\(149\) | 1.65154 | + | 1.38581i | 0.135299 | + | 0.113530i | 0.707926 | − | 0.706287i | \(-0.249631\pi\) |
−0.572627 | + | 0.819816i | \(0.694075\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 14.2033 | + | 5.16957i | 1.15585 | + | 0.420693i | 0.847612 | − | 0.530617i | \(-0.178040\pi\) |
0.308234 | + | 0.951311i | \(0.400262\pi\) | |||||||
\(152\) | 6.83246 | − | 1.83075i | 0.554186 | − | 0.148494i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −4.99492 | + | 2.88382i | −0.402502 | + | 0.232385i | ||||
\(155\) | −2.44083 | + | 7.09088i | −0.196052 | + | 0.569553i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.631683 | + | 1.35465i | −0.0504138 | + | 0.108113i | −0.929901 | − | 0.367810i | \(-0.880108\pi\) |
0.879487 | + | 0.475922i | \(0.157886\pi\) | |||||||
\(158\) | −3.22410 | − | 4.60449i | −0.256495 | − | 0.366314i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.85390 | − | 1.25022i | −0.146564 | − | 0.0988383i | ||||
\(161\) | 6.53138i | 0.514745i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −11.5642 | − | 11.5642i | −0.905779 | − | 0.905779i | 0.0901493 | − | 0.995928i | \(-0.471266\pi\) |
−0.995928 | + | 0.0901493i | \(0.971266\pi\) | |||||||
\(164\) | −0.841179 | + | 0.705833i | −0.0656850 | + | 0.0551163i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −2.39842 | + | 13.6021i | −0.186153 | + | 1.05573i | ||||
\(167\) | −7.74478 | − | 3.61145i | −0.599309 | − | 0.279462i | 0.0991955 | − | 0.995068i | \(-0.468373\pi\) |
−0.698505 | + | 0.715606i | \(0.746151\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.22245 | − | 0.215550i | 0.0940343 | − | 0.0165808i | ||||
\(170\) | 17.1988 | − | 0.301850i | 1.31909 | − | 0.0231509i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 1.92615 | + | 7.18850i | 0.146868 | + | 0.548118i | ||||
\(173\) | 18.7601 | − | 8.74798i | 1.42630 | − | 0.665097i | 0.452350 | − | 0.891840i | \(-0.350586\pi\) |
0.973954 | + | 0.226744i | \(0.0728080\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −4.04955 | − | 5.37180i | −0.306118 | − | 0.406070i | ||||
\(176\) | 2.75551 | − | 3.28389i | 0.207704 | − | 0.247532i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0.585529 | + | 1.25567i | 0.0438873 | + | 0.0941166i | ||||
\(179\) | 7.96252 | − | 13.7915i | 0.595147 | − | 1.03082i | −0.398379 | − | 0.917221i | \(-0.630427\pi\) |
0.993526 | − | 0.113604i | \(-0.0362394\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −3.45571 | − | 5.98546i | −0.256861 | − | 0.444896i | 0.708538 | − | 0.705672i | \(-0.249355\pi\) |
−0.965399 | + | 0.260776i | \(0.916022\pi\) | |||||||
\(182\) | −2.64628 | + | 3.77927i | −0.196155 | + | 0.280138i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.66032 | − | 4.56170i | −0.122401 | − | 0.336293i | ||||
\(185\) | 1.12820 | + | 10.7242i | 0.0829467 | + | 0.788460i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −2.87416 | + | 32.8518i | −0.210179 | + | 2.40236i | ||||
\(188\) | 2.52568 | − | 2.52568i | 0.184204 | − | 0.184204i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −15.2037 | + | 4.36115i | −1.10299 | + | 0.316391i | ||||
\(191\) | 17.4482 | + | 20.7940i | 1.26251 | + | 1.50460i | 0.775712 | + | 0.631087i | \(0.217391\pi\) |
0.486798 | + | 0.873515i | \(0.338165\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 14.5121 | − | 10.1615i | 1.04461 | − | 0.731441i | 0.0804452 | − | 0.996759i | \(-0.474366\pi\) |
0.964161 | + | 0.265318i | \(0.0854769\pi\) | |||||||
\(194\) | −4.79554 | + | 1.74543i | −0.344300 | + | 0.125315i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.901198 | − | 5.11095i | −0.0643713 | − | 0.365068i | ||||
\(197\) | −2.27387 | + | 8.48620i | −0.162006 | + | 0.604616i | 0.836397 | + | 0.548125i | \(0.184658\pi\) |
−0.998403 | + | 0.0564917i | \(0.982009\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −10.6250 | − | 6.13434i | −0.753186 | − | 0.434852i | 0.0736580 | − | 0.997284i | \(-0.476533\pi\) |
−0.826844 | + | 0.562431i | \(0.809866\pi\) | |||||||
\(200\) | 4.19387 | + | 2.72239i | 0.296552 | + | 0.192502i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 14.2010 | − | 1.24242i | 0.999177 | − | 0.0874167i | ||||
\(203\) | 0.00836379 | 0.000731737i | 0.000587023 | 5.13579e-5i | ||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.85295 | − | 1.61105i | 0.129415 | − | 0.112521i | ||||
\(206\) | 1.75330 | + | 1.01227i | 0.122158 | + | 0.0705282i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0.887515 | − | 3.31225i | 0.0615381 | − | 0.229663i | ||||
\(209\) | −5.26548 | − | 29.8620i | −0.364221 | − | 2.06560i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.43443 | + | 2.34194i | −0.442965 | + | 0.161226i | −0.553867 | − | 0.832605i | \(-0.686848\pi\) |
0.110902 | + | 0.993831i | \(0.464626\pi\) | |||||||
\(212\) | 9.42873 | − | 6.60207i | 0.647568 | − | 0.453432i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 5.98661 | + | 7.13456i | 0.409236 | + | 0.487708i | ||||
\(215\) | −4.58841 | − | 15.9959i | −0.312927 | − | 1.09091i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −3.19066 | + | 3.19066i | −0.216596 | + | 0.216596i | ||||
\(218\) | 0.0869729 | − | 0.994105i | 0.00589055 | − | 0.0673293i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −6.03170 | + | 7.44998i | −0.406657 | + | 0.502278i | ||||
\(221\) | 9.02219 | + | 24.7883i | 0.606898 | + | 1.66744i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 0.0323543 | − | 0.0462067i | 0.00216660 | − | 0.00309423i | −0.818067 | − | 0.575123i | \(-0.804954\pi\) |
0.820234 | + | 0.572028i | \(0.193843\pi\) | |||||||
\(224\) | −0.672720 | − | 1.16518i | −0.0449480 | − | 0.0778522i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 5.55173 | − | 9.61588i | 0.369296 | − | 0.639639i | ||||
\(227\) | 3.14003 | + | 6.73382i | 0.208411 | + | 0.446939i | 0.982531 | − | 0.186100i | \(-0.0595849\pi\) |
−0.774120 | + | 0.633039i | \(0.781807\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −7.90847 | + | 9.42495i | −0.522606 | + | 0.622818i | −0.961195 | − | 0.275870i | \(-0.911034\pi\) |
0.438589 | + | 0.898688i | \(0.355479\pi\) | |||||||
\(230\) | 3.89102 | + | 10.1336i | 0.256566 | + | 0.668187i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.00565550 | + | 0.00263720i | −0.000371301 | + | 0.000173141i | ||||
\(233\) | 3.38830 | + | 12.6453i | 0.221975 | + | 0.828421i | 0.983594 | + | 0.180396i | \(0.0577380\pi\) |
−0.761619 | + | 0.648025i | \(0.775595\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −5.54762 | + | 5.74582i | −0.361887 | + | 0.374816i | ||||
\(236\) | −9.13219 | + | 1.61025i | −0.594455 | + | 0.104818i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 9.38038 | + | 4.37414i | 0.608040 | + | 0.283534i | ||||
\(239\) | −0.00469859 | + | 0.0266470i | −0.000303927 | + | 0.00172365i | −0.984959 | − | 0.172786i | \(-0.944723\pi\) |
0.984655 | + | 0.174510i | \(0.0558341\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 5.56632 | − | 4.67069i | 0.358558 | − | 0.300866i | −0.445658 | − | 0.895203i | \(-0.647030\pi\) |
0.804216 | + | 0.594338i | \(0.202586\pi\) | |||||||
\(242\) | −5.21614 | − | 5.21614i | −0.335306 | − | 0.335306i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 7.15692i | 0.458175i | ||||||||
\(245\) | 2.21538 | + | 11.3913i | 0.141535 | + | 0.727764i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −13.9125 | − | 19.8691i | −0.885230 | − | 1.26424i | ||||
\(248\) | 1.41736 | − | 3.03953i | 0.0900022 | − | 0.193010i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −9.48316 | − | 5.92196i | −0.599768 | − | 0.374538i | ||||
\(251\) | −9.23875 | + | 5.33400i | −0.583145 | + | 0.336679i | −0.762382 | − | 0.647127i | \(-0.775970\pi\) |
0.179237 | + | 0.983806i | \(0.442637\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −20.1011 | + | 5.38606i | −1.26374 | + | 0.338619i | ||||
\(254\) | 10.4521 | + | 3.80426i | 0.655824 | + | 0.238701i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | −0.545692 | − | 6.23728i | −0.0340393 | − | 0.389071i | −0.994035 | − | 0.109058i | \(-0.965217\pi\) |
0.959996 | − | 0.280013i | \(-0.0903389\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −2.21915 | + | 6.09706i | −0.137891 | + | 0.378853i | ||||
\(260\) | −1.85427 | + | 7.44010i | −0.114997 | + | 0.461416i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 7.04121 | + | 1.88669i | 0.435007 | + | 0.116560i | ||||
\(263\) | −1.84417 | − | 1.29130i | −0.113716 | − | 0.0796249i | 0.515335 | − | 0.856989i | \(-0.327668\pi\) |
−0.629051 | + | 0.777364i | \(0.716556\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −20.8210 | + | 15.1304i | −1.27902 | + | 0.929451i | ||||
\(266\) | −9.37236 | − | 1.65260i | −0.574656 | − | 0.101327i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −5.54705 | − | 0.485304i | −0.338840 | − | 0.0296447i | ||||
\(269\) | 20.0830 | 1.22448 | 0.612240 | − | 0.790672i | \(-0.290269\pi\) | ||||
0.612240 | + | 0.790672i | \(0.290269\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 22.3527 | 1.35783 | 0.678914 | − | 0.734218i | \(-0.262451\pi\) | ||||
0.678914 | + | 0.734218i | \(0.262451\pi\) | |||||||
\(272\) | −7.66346 | − | 0.670466i | −0.464666 | − | 0.0406530i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −11.7342 | − | 2.06906i | −0.708890 | − | 0.124996i | ||||
\(275\) | 13.1929 | − | 16.8928i | 0.795561 | − | 1.01867i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −4.15972 | − | 2.91267i | −0.249933 | − | 0.175005i | 0.441896 | − | 0.897066i | \(-0.354306\pi\) |
−0.691829 | + | 0.722061i | \(0.743195\pi\) | |||||||
\(278\) | −5.90354 | − | 1.58185i | −0.354071 | − | 0.0948729i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 1.54974 | + | 2.57863i | 0.0926144 | + | 0.154103i | ||||
\(281\) | 5.51412 | − | 15.1499i | 0.328945 | − | 0.903769i | −0.659435 | − | 0.751762i | \(-0.729204\pi\) |
0.988379 | − | 0.152007i | \(-0.0485736\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1.35460 | + | 15.4831i | 0.0805226 | + | 0.920377i | 0.923794 | + | 0.382890i | \(0.125071\pi\) |
−0.843272 | + | 0.537488i | \(0.819373\pi\) | |||||||
\(284\) | 2.10417 | + | 1.76561i | 0.124860 | + | 0.104770i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −13.8134 | − | 5.02765i | −0.816801 | − | 0.297291i | ||||
\(287\) | 1.42706 | − | 0.382380i | 0.0842367 | − | 0.0225712i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 36.5273 | − | 21.0891i | 2.14867 | − | 1.24053i | ||||
\(290\) | 0.0125406 | − | 0.00611796i | 0.000736412 | − | 0.000359259i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −4.52020 | + | 9.69360i | −0.264525 | + | 0.567275i | ||||
\(293\) | −18.4183 | − | 26.3041i | −1.07601 | − | 1.53670i | −0.821991 | − | 0.569500i | \(-0.807137\pi\) |
−0.254017 | − | 0.967200i | \(-0.581752\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 20.3539 | − | 3.95841i | 1.18505 | − | 0.230468i | ||||
\(296\) | − | 4.82248i | − | 0.280301i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 1.52447 | + | 1.52447i | 0.0883104 | + | 0.0883104i | ||||
\(299\) | −12.7519 | + | 10.7001i | −0.737461 | + | 0.618803i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.73872 | − | 9.86075i | 0.100218 | − | 0.568364i | ||||
\(302\) | 13.6987 | + | 6.38779i | 0.788269 | + | 0.367576i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 6.96602 | − | 1.22830i | 0.399529 | − | 0.0704477i | ||||
\(305\) | −0.280826 | − | 16.0009i | −0.0160800 | − | 0.916209i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −0.658671 | − | 2.45819i | −0.0375923 | − | 0.140296i | 0.944579 | − | 0.328284i | \(-0.106470\pi\) |
−0.982171 | + | 0.187987i | \(0.939804\pi\) | |||||||
\(308\) | −5.22726 | + | 2.43751i | −0.297851 | + | 0.138890i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −3.04955 | + | 6.85117i | −0.173203 | + | 0.389120i | ||||
\(311\) | 10.8671 | − | 12.9510i | 0.616219 | − | 0.734382i | −0.364196 | − | 0.931322i | \(-0.618656\pi\) |
0.980415 | + | 0.196941i | \(0.0631006\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −10.5221 | − | 22.5647i | −0.594743 | − | 1.27543i | −0.941354 | − | 0.337422i | \(-0.890445\pi\) |
0.346610 | − | 0.938009i | \(-0.387333\pi\) | |||||||
\(314\) | −0.747344 | + | 1.29444i | −0.0421751 | + | 0.0730494i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.81052 | − | 4.86797i | −0.158104 | − | 0.273845i | ||||
\(317\) | 14.7708 | − | 21.0949i | 0.829611 | − | 1.18481i | −0.150940 | − | 0.988543i | \(-0.548230\pi\) |
0.980551 | − | 0.196264i | \(-0.0628811\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.00914915 | + | 0.0251371i | 0.000512254 | + | 0.00140741i | ||||
\(320\) | −1.73789 | − | 1.40704i | −0.0971508 | − | 0.0786558i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.569248 | + | 6.50653i | −0.0317229 | + | 0.362595i | ||||
\(323\) | −38.4768 | + | 38.4768i | −2.14091 | + | 2.14091i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 3.85370 | − | 16.7068i | 0.213765 | − | 0.926725i | ||||
\(326\) | −10.5123 | − | 12.5281i | −0.582223 | − | 0.693867i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.899495 | + | 0.629833i | −0.0496663 | + | 0.0347767i | ||||
\(329\) | −4.51589 | + | 1.64365i | −0.248969 | + | 0.0906173i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0.572221 | + | 3.24523i | 0.0314521 | + | 0.178374i | 0.996487 | − | 0.0837477i | \(-0.0266890\pi\) |
−0.965035 | + | 0.262121i | \(0.915578\pi\) | |||||||
\(332\) | −3.57479 | + | 13.3413i | −0.196192 | + | 0.732200i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −7.40055 | − | 4.27271i | −0.404940 | − | 0.233792i | ||||
\(335\) | 12.4207 | + | 0.867349i | 0.678616 | + | 0.0473883i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 23.2238 | − | 2.03182i | 1.26508 | − | 0.110680i | 0.565208 | − | 0.824949i | \(-0.308796\pi\) |
0.699872 | + | 0.714269i | \(0.253241\pi\) | |||||||
\(338\) | 1.23658 | − | 0.108187i | 0.0672611 | − | 0.00588459i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 17.1597 | + | 1.19827i | 0.930615 | + | 0.0649856i | ||||
\(341\) | −12.4508 | − | 7.18844i | −0.674246 | − | 0.389276i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −4.24479 | + | 15.8418i | −0.229197 | + | 0.855376i | ||||
\(344\) | 1.29230 | + | 7.32902i | 0.0696764 | + | 0.395154i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 19.4512 | − | 7.07964i | 1.04570 | − | 0.380604i | ||||
\(347\) | −4.06509 | + | 2.84641i | −0.218226 | + | 0.152803i | −0.677578 | − | 0.735451i | \(-0.736970\pi\) |
0.459352 | + | 0.888254i | \(0.348082\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −18.4096 | − | 21.9397i | −0.985443 | − | 1.17440i | −0.984674 | − | 0.174405i | \(-0.944200\pi\) |
−0.000768814 | − | 1.00000i | \(-0.500245\pi\) | |||||||
\(350\) | −3.56596 | − | 5.70430i | −0.190609 | − | 0.304908i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 3.03123 | − | 3.03123i | 0.161565 | − | 0.161565i | ||||
\(353\) | −1.14797 | + | 13.1214i | −0.0611003 | + | 0.698380i | 0.902440 | + | 0.430816i | \(0.141774\pi\) |
−0.963540 | + | 0.267564i | \(0.913781\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.77363 | − | 3.86485i | −0.253358 | − | 0.205125i | ||||
\(356\) | 0.473862 | + | 1.30193i | 0.0251146 | + | 0.0690019i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 9.13423 | − | 13.0450i | 0.482759 | − | 0.689451i | ||||
\(359\) | −2.89200 | − | 5.00910i | −0.152634 | − | 0.264370i | 0.779561 | − | 0.626326i | \(-0.215442\pi\) |
−0.932195 | + | 0.361956i | \(0.882109\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 15.5171 | − | 26.8764i | 0.816690 | − | 1.41455i | ||||
\(362\) | −2.92089 | − | 6.26387i | −0.153519 | − | 0.329222i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −2.96559 | + | 3.53425i | −0.155439 | + | 0.185245i | ||||
\(365\) | 9.72555 | − | 21.8496i | 0.509059 | − | 1.14366i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −9.77555 | + | 4.55841i | −0.510280 | + | 0.237947i | −0.660666 | − | 0.750680i | \(-0.729726\pi\) |
0.150386 | + | 0.988627i | \(0.451948\pi\) | |||||||
\(368\) | −1.25643 | − | 4.68905i | −0.0654958 | − | 0.244434i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.189226 | + | 10.7817i | 0.00983740 | + | 0.560516i | ||||
\(371\) | −15.2512 | + | 2.68920i | −0.791803 | + | 0.139616i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 3.38202 | + | 1.57706i | 0.175114 | + | 0.0816572i | 0.508199 | − | 0.861240i | \(-0.330312\pi\) |
−0.333084 | + | 0.942897i | \(0.608089\pi\) | |||||||
\(374\) | −5.72644 | + | 32.4763i | −0.296107 | + | 1.67931i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 2.73620 | − | 2.29594i | 0.141109 | − | 0.118404i | ||||
\(377\) | 0.0151307 | + | 0.0151307i | 0.000779272 | + | 0.000779272i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 20.3733i | 1.04651i | 0.852177 | + | 0.523253i | \(0.175282\pi\) | ||||
−0.852177 | + | 0.523253i | \(0.824718\pi\) | |||||||
\(380\) | −15.5259 | + | 3.01947i | −0.796462 | + | 0.154896i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 15.5695 | + | 22.2356i | 0.796606 | + | 1.13767i | ||||
\(383\) | 5.74785 | − | 12.3263i | 0.293701 | − | 0.629845i | −0.702983 | − | 0.711206i | \(-0.748149\pi\) |
0.996685 | + | 0.0813617i | \(0.0259269\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 11.5911 | − | 5.65471i | 0.590735 | − | 0.288191i | ||||
\(386\) | 15.3425 | − | 8.85802i | 0.780915 | − | 0.450861i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −4.92942 | + | 1.32083i | −0.250253 | + | 0.0670551i | ||||
\(389\) | 6.23872 | + | 2.27071i | 0.316316 | + | 0.115129i | 0.495299 | − | 0.868723i | \(-0.335059\pi\) |
−0.178983 | + | 0.983852i | \(0.557281\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 28.6072 | + | 24.0043i | 1.44673 | + | 1.21395i | ||||
\(392\) | −0.452320 | − | 5.17004i | −0.0228456 | − | 0.261127i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −3.00484 | + | 8.25572i | −0.151382 | + | 0.415917i | ||||
\(395\) | 6.47456 | + | 10.7731i | 0.325771 | + | 0.542056i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −28.2089 | − | 7.55855i | −1.41576 | − | 0.379353i | −0.531785 | − | 0.846879i | \(-0.678479\pi\) |
−0.883979 | + | 0.467527i | \(0.845145\pi\) | |||||||
\(398\) | −10.0499 | − | 7.03703i | −0.503757 | − | 0.352734i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 3.94064 | + | 3.07755i | 0.197032 | + | 0.153878i | ||||
\(401\) | 13.2541 | + | 2.33705i | 0.661876 | + | 0.116707i | 0.494488 | − | 0.869184i | \(-0.335356\pi\) |
0.167388 | + | 0.985891i | \(0.446467\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −11.4566 | − | 1.00232i | −0.570692 | − | 0.0499291i | ||||
\(404\) | 14.2552 | 0.709224 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.00839574 | 0.000416674 | ||||||||
\(407\) | −20.5944 | − | 1.80178i | −1.02083 | − | 0.0893107i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −8.85097 | − | 1.56066i | −0.437652 | − | 0.0771699i | −0.0495190 | − | 0.998773i | \(-0.515769\pi\) |
−0.388133 | + | 0.921603i | \(0.626880\pi\) | |||||||
\(410\) | 1.98631 | − | 1.44343i | 0.0980968 | − | 0.0712858i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 1.65841 | + | 1.16123i | 0.0817038 | + | 0.0572096i | ||||
\(413\) | 12.0512 | + | 3.22912i | 0.593002 | + | 0.158894i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 7.46876 | − | 29.9678i | 0.366627 | − | 1.47106i | ||||
\(416\) | 1.17282 | − | 3.22230i | 0.0575022 | − | 0.157986i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −2.64280 | − | 30.2073i | −0.129263 | − | 1.47749i | ||||
\(419\) | 9.47636 | + | 7.95161i | 0.462950 | + | 0.388461i | 0.844215 | − | 0.536004i | \(-0.180067\pi\) |
−0.381265 | + | 0.924466i | \(0.624511\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −18.9688 | − | 6.90407i | −0.924481 | − | 0.336484i | −0.164461 | − | 0.986384i | \(-0.552589\pi\) |
−0.760020 | + | 0.649900i | \(0.774811\pi\) | |||||||
\(422\) | −6.61406 | + | 1.77223i | −0.321967 | + | 0.0862709i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 9.96826 | − | 5.75518i | 0.484101 | − | 0.279496i | ||||
\(425\) | −38.4113 | − | 2.00569i | −1.86322 | − | 0.0972904i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 4.06948 | − | 8.72702i | 0.196936 | − | 0.422330i | ||||
\(428\) | 5.34201 | + | 7.62918i | 0.258216 | + | 0.368770i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −3.17681 | − | 16.3350i | −0.153200 | − | 0.787741i | ||||
\(431\) | − | 8.26858i | − | 0.398283i | −0.979971 | − | 0.199142i | \(-0.936185\pi\) | ||
0.979971 | − | 0.199142i | \(-0.0638154\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 24.6631 | + | 24.6631i | 1.18523 | + | 1.18523i | 0.978369 | + | 0.206865i | \(0.0663262\pi\) |
0.206865 | + | 0.978369i | \(0.433674\pi\) | |||||||
\(434\) | −3.45660 | + | 2.90043i | −0.165922 | + | 0.139225i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.173284 | − | 0.982742i | 0.00829879 | − | 0.0470648i | ||||
\(437\) | −31.1208 | − | 14.5118i | −1.48871 | − | 0.694196i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 2.32992 | − | 0.410828i | 0.111201 | − | 0.0196077i | −0.117771 | − | 0.993041i | \(-0.537575\pi\) |
0.228972 | + | 0.973433i | \(0.426464\pi\) | |||||||
\(440\) | −6.65806 | + | 6.89594i | −0.317410 | + | 0.328751i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 6.82742 | + | 25.4803i | 0.324747 | + | 1.21197i | ||||
\(443\) | −3.14927 | + | 1.46853i | −0.149626 | + | 0.0697719i | −0.495989 | − | 0.868329i | \(-0.665194\pi\) |
0.346363 | + | 0.938101i | \(0.387417\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1.11051 | − | 2.89215i | −0.0526432 | − | 0.137101i | ||||
\(446\) | 0.0362583 | − | 0.0432110i | 0.00171688 | − | 0.00204610i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.568607 | − | 1.21938i | −0.0268642 | − | 0.0576104i | ||||
\(449\) | 2.75309 | − | 4.76849i | 0.129926 | − | 0.225039i | −0.793721 | − | 0.608281i | \(-0.791859\pi\) |
0.923648 | + | 0.383242i | \(0.125193\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.35363 | + | 4.07661i | 0.110828 | + | 0.191960i | ||||
\(452\) | 6.36868 | − | 9.09542i | 0.299558 | − | 0.427813i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 2.54119 | + | 6.98187i | 0.119264 | + | 0.327675i | ||||
\(455\) | 6.49156 | − | 8.01798i | 0.304329 | − | 0.375889i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 0.879530 | − | 10.0531i | 0.0411427 | − | 0.470263i | −0.947477 | − | 0.319825i | \(-0.896376\pi\) |
0.988619 | − | 0.150438i | \(-0.0480685\pi\) | |||||||
\(458\) | −8.69981 | + | 8.69981i | −0.406516 | + | 0.406516i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 2.99301 | + | 10.4341i | 0.139550 | + | 0.486493i | ||||
\(461\) | −7.75567 | − | 9.24285i | −0.361218 | − | 0.430482i | 0.554575 | − | 0.832134i | \(-0.312881\pi\) |
−0.915793 | + | 0.401651i | \(0.868436\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −8.32374 | + | 5.82835i | −0.386837 | + | 0.270866i | −0.750776 | − | 0.660556i | \(-0.770320\pi\) |
0.363939 | + | 0.931423i | \(0.381432\pi\) | |||||||
\(464\) | −0.00586382 | + | 0.00213426i | −0.000272221 | + | 9.90804e-5i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 2.27329 | + | 12.8925i | 0.105308 | + | 0.597233i | ||||
\(467\) | −5.28342 | + | 19.7180i | −0.244487 | + | 0.912440i | 0.729153 | + | 0.684351i | \(0.239914\pi\) |
−0.973640 | + | 0.228089i | \(0.926752\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 6.48803 | + | 3.74587i | 0.299589 | + | 0.172968i | ||||
\(470\) | −6.02729 | + | 5.24045i | −0.278018 | + | 0.241724i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −9.23778 | + | 0.808201i | −0.425203 | + | 0.0372005i | ||||
\(473\) | 31.7814 | − | 2.78051i | 1.46131 | − | 0.127848i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 34.5932 | − | 7.35991i | 1.58724 | − | 0.337696i | ||||
\(476\) | 8.96345 | + | 5.17505i | 0.410839 | + | 0.237198i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −0.00700316 | + | 0.0261361i | −0.000320317 | + | 0.00119544i | ||||
\(479\) | −7.22274 | − | 40.9622i | −0.330015 | − | 1.87161i | −0.471789 | − | 0.881711i | \(-0.656392\pi\) |
0.141774 | − | 0.989899i | \(-0.454719\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −15.5395 | + | 5.65590i | −0.708538 | + | 0.257887i | ||||
\(482\) | 5.95221 | − | 4.16778i | 0.271116 | − | 0.189837i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −4.74167 | − | 5.65090i | −0.215531 | − | 0.256859i | ||||
\(485\) | 10.9690 | − | 3.14644i | 0.498076 | − | 0.142872i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 21.5643 | − | 21.5643i | 0.977171 | − | 0.977171i | −0.0225745 | − | 0.999745i | \(-0.507186\pi\) |
0.999745 | + | 0.0225745i | \(0.00718628\pi\) | |||||||
\(488\) | −0.623767 | + | 7.12968i | −0.0282366 | + | 0.322746i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 1.21413 | + | 11.5410i | 0.0548487 | + | 0.521371i | ||||
\(491\) | −2.06551 | − | 5.67493i | −0.0932150 | − | 0.256106i | 0.884319 | − | 0.466883i | \(-0.154623\pi\) |
−0.977534 | + | 0.210777i | \(0.932401\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.0275339 | − | 0.0393224i | 0.00124006 | − | 0.00177099i | ||||
\(494\) | −12.1278 | − | 21.0060i | −0.545657 | − | 0.945105i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.67688 | − | 2.90443i | 0.0752939 | − | 0.130413i | ||||
\(497\) | −1.56185 | − | 3.34940i | −0.0700586 | − | 0.150241i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −9.82974 | + | 11.7146i | −0.440040 | + | 0.524419i | −0.939791 | − | 0.341750i | \(-0.888980\pi\) |
0.499751 | + | 0.866169i | \(0.333425\pi\) | |||||||
\(500\) | −8.93094 | − | 6.72594i | −0.399404 | − | 0.300793i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −9.66849 | + | 4.50849i | −0.431526 | + | 0.201224i | ||||
\(503\) | 4.09733 | + | 15.2915i | 0.182691 | + | 0.681813i | 0.995113 | + | 0.0987425i | \(0.0314820\pi\) |
−0.812422 | + | 0.583070i | \(0.801851\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −31.8707 | + | 0.559351i | −1.41823 | + | 0.0248908i | ||||
\(506\) | −20.4940 | + | 3.61364i | −0.911069 | + | 0.160646i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 10.0808 | + | 4.70075i | 0.447263 | + | 0.208562i | ||||
\(509\) | −5.47407 | + | 31.0450i | −0.242634 | + | 1.37604i | 0.583291 | + | 0.812264i | \(0.301765\pi\) |
−0.825924 | + | 0.563781i | \(0.809346\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 11.0237 | − | 9.24998i | 0.487660 | − | 0.409195i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | − | 6.26111i | − | 0.276166i | ||||||
\(515\) | −3.75330 | − | 2.53111i | −0.165390 | − | 0.111534i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −8.78251 | − | 12.5427i | −0.386254 | − | 0.551628i | ||||
\(518\) | −2.74210 | + | 5.88045i | −0.120481 | + | 0.258372i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −2.49566 | + | 7.25018i | −0.109442 | + | 0.317942i | ||||
\(521\) | 18.5639 | − | 10.7179i | 0.813300 | − | 0.469559i | −0.0348007 | − | 0.999394i | \(-0.511080\pi\) |
0.848100 | + | 0.529835i | \(0.177746\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 33.9851 | − | 9.10628i | 1.48606 | − | 0.398190i | 0.577658 | − | 0.816279i | \(-0.303967\pi\) |
0.908406 | + | 0.418089i | \(0.137300\pi\) | |||||||
\(524\) | 6.84998 | + | 2.49319i | 0.299243 | + | 0.108915i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −1.72460 | − | 1.44711i | −0.0751963 | − | 0.0630972i | ||||
\(527\) | 2.24858 | + | 25.7013i | 0.0979495 | + | 1.11957i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −0.193512 | + | 0.531670i | −0.00841357 | + | 0.0231161i | ||||
\(530\) | −22.0604 | + | 13.2581i | −0.958245 | + | 0.575896i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −9.19266 | − | 2.46317i | −0.398553 | − | 0.106792i | ||||
\(533\) | 3.08445 | + | 2.15976i | 0.133603 | + | 0.0935495i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −12.2426 | − | 16.8471i | −0.529294 | − | 0.728364i | ||||
\(536\) | −5.48365 | − | 0.966915i | −0.236857 | − | 0.0417644i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 20.0065 | + | 1.75035i | 0.862543 | + | 0.0754628i | ||||
\(539\) | −22.2477 | −0.958274 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −1.73780 | −0.0747137 | −0.0373569 | − | 0.999302i | \(-0.511894\pi\) | ||||
−0.0373569 | + | 0.999302i | \(0.511894\pi\) | |||||||
\(542\) | 22.2676 | + | 1.94816i | 0.956476 | + | 0.0836808i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −7.57586 | − | 1.33583i | −0.324812 | − | 0.0572732i | ||||
\(545\) | −0.348854 | + | 2.20394i | −0.0149432 | + | 0.0944063i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −24.3181 | − | 17.0277i | −1.03977 | − | 0.728052i | −0.0766277 | − | 0.997060i | \(-0.524415\pi\) |
−0.963138 | + | 0.269008i | \(0.913304\pi\) | |||||||
\(548\) | −11.5092 | − | 3.08389i | −0.491650 | − | 0.131737i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 14.6150 | − | 15.6787i | 0.623185 | − | 0.668540i | ||||
\(551\) | −0.0150966 | + | 0.0414777i | −0.000643138 | + | 0.00176701i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.659139 | + | 7.53399i | 0.0280294 | + | 0.320378i | ||||
\(554\) | −3.89003 | − | 3.26413i | −0.165272 | − | 0.138679i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −5.74321 | − | 2.09036i | −0.243566 | − | 0.0886508i | ||||
\(557\) | 30.6627 | − | 8.21606i | 1.29922 | − | 0.348125i | 0.458066 | − | 0.888918i | \(-0.348542\pi\) |
0.841156 | + | 0.540793i | \(0.181876\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 22.1006 | − | 12.7598i | 0.934757 | − | 0.539682i | ||||
\(560\) | 1.31910 | + | 2.70389i | 0.0557419 | + | 0.114260i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 6.81354 | − | 14.6117i | 0.287412 | − | 0.616357i | ||||
\(563\) | −12.2805 | − | 17.5384i | −0.517561 | − | 0.739154i | 0.472262 | − | 0.881458i | \(-0.343438\pi\) |
−0.989823 | + | 0.142305i | \(0.954549\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −13.8817 | + | 20.5848i | −0.584009 | + | 0.866007i | ||||
\(566\) | 15.5423i | 0.653291i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 1.94228 | + | 1.94228i | 0.0814964 | + | 0.0814964i | ||||
\(569\) | 26.5911 | − | 22.3126i | 1.11476 | − | 0.935393i | 0.116430 | − | 0.993199i | \(-0.462855\pi\) |
0.998328 | + | 0.0578062i | \(0.0184105\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −3.94694 | + | 22.3842i | −0.165174 | + | 0.936750i | 0.783710 | + | 0.621127i | \(0.213325\pi\) |
−0.948885 | + | 0.315623i | \(0.897786\pi\) | |||||||
\(572\) | −13.3226 | − | 6.21244i | −0.557046 | − | 0.259755i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 1.45496 | − | 0.256548i | 0.0607287 | − | 0.0107081i | ||||
\(575\) | −7.10097 | − | 23.2104i | −0.296131 | − | 0.967939i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 5.75013 | + | 21.4598i | 0.239381 | + | 0.893383i | 0.976125 | + | 0.217210i | \(0.0696958\pi\) |
−0.736744 | + | 0.676172i | \(0.763638\pi\) | |||||||
\(578\) | 38.2264 | − | 17.8253i | 1.59001 | − | 0.741433i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.0130261 | − | 0.00500169i | 0.000540881 | − | 0.000207684i | ||||
\(581\) | 11.9450 | − | 14.2355i | 0.495562 | − | 0.590588i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −20.8531 | − | 44.7197i | −0.863648 | − | 1.85210i | ||||
\(584\) | −5.34785 | + | 9.26275i | −0.221296 | + | 0.383295i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −16.0557 | − | 27.8092i | −0.663253 | − | 1.14879i | ||||
\(587\) | −4.24785 | + | 6.06656i | −0.175327 | + | 0.250394i | −0.897192 | − | 0.441641i | \(-0.854397\pi\) |
0.721864 | + | 0.692034i | \(0.243285\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −8.11364 | − | 22.2921i | −0.334317 | − | 0.918528i | ||||
\(590\) | 20.6214 | − | 2.16939i | 0.848970 | − | 0.0893124i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0.420307 | − | 4.80413i | 0.0172745 | − | 0.197449i | ||||
\(593\) | 10.8659 | − | 10.8659i | 0.446208 | − | 0.446208i | −0.447884 | − | 0.894092i | \(-0.647822\pi\) |
0.894092 | + | 0.447884i | \(0.147822\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −20.2429 | − | 11.2183i | −0.829877 | − | 0.459905i | ||||
\(596\) | 1.38581 | + | 1.65154i | 0.0567648 | + | 0.0676497i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −13.6359 | + | 9.54799i | −0.557615 | + | 0.390446i | ||||
\(599\) | 37.1726 | − | 13.5297i | 1.51883 | − | 0.552809i | 0.557974 | − | 0.829858i | \(-0.311579\pi\) |
0.960856 | + | 0.277049i | \(0.0893566\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −1.53626 | − | 8.71259i | −0.0626655 | − | 0.355394i | −0.999976 | − | 0.00689897i | \(-0.997804\pi\) |
0.937311 | − | 0.348495i | \(-0.113307\pi\) | |||||||
\(602\) | 2.59152 | − | 9.67169i | 0.105623 | − | 0.394189i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 13.0898 | + | 7.55740i | 0.532616 | + | 0.307506i | ||||
\(605\) | 10.8228 | + | 12.4478i | 0.440009 | + | 0.506075i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −19.5481 | + | 1.71024i | −0.793433 | + | 0.0694164i | −0.476663 | − | 0.879086i | \(-0.658154\pi\) |
−0.316770 | + | 0.948502i | \(0.602598\pi\) | |||||||
\(608\) | 7.04657 | − | 0.616495i | 0.285776 | − | 0.0250022i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 1.11481 | − | 15.9645i | 0.0451374 | − | 0.646383i | ||||
\(611\) | −10.6073 | − | 6.12411i | −0.429124 | − | 0.247755i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −10.4403 | + | 38.9638i | −0.421680 | + | 1.57373i | 0.349387 | + | 0.936979i | \(0.386390\pi\) |
−0.771067 | + | 0.636754i | \(0.780277\pi\) | |||||||
\(614\) | −0.441919 | − | 2.50625i | −0.0178344 | − | 0.101144i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −5.41981 | + | 1.97265i | −0.218370 | + | 0.0794803i | ||||
\(617\) | −3.15147 | + | 2.20668i | −0.126873 | + | 0.0888377i | −0.635291 | − | 0.772273i | \(-0.719120\pi\) |
0.508417 | + | 0.861111i | \(0.330231\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 31.5228 | + | 37.5674i | 1.26701 | + | 1.50996i | 0.763223 | + | 0.646135i | \(0.223616\pi\) |
0.503786 | + | 0.863828i | \(0.331940\pi\) | |||||||
\(620\) | −3.63506 | + | 6.55931i | −0.145988 | + | 0.263428i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 11.9545 | − | 11.9545i | 0.479334 | − | 0.479334i | ||||
\(623\) | 0.162465 | − | 1.85699i | 0.00650903 | − | 0.0743986i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 20.2310 | + | 14.6869i | 0.809242 | + | 0.587476i | ||||
\(626\) | −8.51540 | − | 23.3959i | −0.340344 | − | 0.935087i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −0.857318 | + | 1.22438i | −0.0342107 | + | 0.0488580i | ||||
\(629\) | 18.5490 | + | 32.1279i | 0.739598 | + | 1.28102i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −21.7434 | + | 37.6606i | −0.865590 | + | 1.49925i | 0.000870334 | 1.00000i | \(0.499723\pi\) | |
−0.866460 | + | 0.499246i | \(0.833610\pi\) | |||||||
\(632\) | −2.37556 | − | 5.09440i | −0.0944945 | − | 0.202644i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 16.5531 | − | 19.7273i | 0.657409 | − | 0.783470i | ||||
\(635\) | −22.7223 | − | 10.1140i | −0.901707 | − | 0.401363i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −16.1289 | + | 7.52104i | −0.639051 | + | 0.297994i | ||||
\(638\) | 0.00692349 | + | 0.0258388i | 0.000274104 | + | 0.00102297i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −1.60864 | − | 1.55315i | −0.0635871 | − | 0.0613936i | ||||
\(641\) | −31.6672 | + | 5.58379i | −1.25078 | + | 0.220546i | −0.759530 | − | 0.650472i | \(-0.774571\pi\) |
−0.491250 | + | 0.871018i | \(0.663460\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −15.3924 | − | 7.17758i | −0.607016 | − | 0.283056i | 0.0947082 | − | 0.995505i | \(-0.469808\pi\) |
−0.701724 | + | 0.712449i | \(0.747586\pi\) | |||||||
\(644\) | −1.13416 | + | 6.43216i | −0.0446923 | + | 0.253462i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −41.6839 | + | 34.9769i | −1.64003 | + | 1.37615i | ||||
\(647\) | 21.6407 | + | 21.6407i | 0.850784 | + | 0.850784i | 0.990230 | − | 0.139446i | \(-0.0445320\pi\) |
−0.139446 | + | 0.990230i | \(0.544532\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 39.7519i | 1.56040i | ||||||||
\(650\) | 5.29513 | − | 16.3073i | 0.207692 | − | 0.639626i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −9.38042 | − | 13.3966i | −0.367366 | − | 0.524652i | ||||
\(653\) | −8.25358 | + | 17.6999i | −0.322988 | + | 0.692649i | −0.999022 | − | 0.0442212i | \(-0.985919\pi\) |
0.676034 | + | 0.736870i | \(0.263697\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −15.4125 | − | 5.30530i | −0.602216 | − | 0.207295i | ||||
\(656\) | −0.950966 | + | 0.549040i | −0.0371290 | + | 0.0214364i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −4.64196 | + | 1.24381i | −0.180962 | + | 0.0484887i | ||||
\(659\) | −3.03288 | − | 1.10388i | −0.118144 | − | 0.0430009i | 0.282272 | − | 0.959335i | \(-0.408912\pi\) |
−0.400416 | + | 0.916334i | \(0.631134\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −13.9565 | − | 11.7109i | −0.542844 | − | 0.455500i | 0.329665 | − | 0.944098i | \(-0.393064\pi\) |
−0.872509 | + | 0.488598i | \(0.837509\pi\) | |||||||
\(662\) | 0.287203 | + | 3.28275i | 0.0111625 | + | 0.127588i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −4.72396 | + | 12.9790i | −0.183325 | + | 0.503682i | ||||
\(665\) | 20.6489 | + | 5.14626i | 0.800730 | + | 0.199563i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.0292604 | + | 0.00784029i | 0.00113297 | + | 0.000303577i | ||||
\(668\) | −7.00000 | − | 4.90145i | −0.270838 | − | 0.189643i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 12.2979 | + | 1.94659i | 0.475108 | + | 0.0752032i | ||||
\(671\) | 30.2142 | + | 5.32759i | 1.16641 | + | 0.205669i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −47.1598 | − | 4.12595i | −1.81788 | − | 0.159044i | −0.873268 | − | 0.487239i | \(-0.838004\pi\) |
−0.944610 | + | 0.328196i | \(0.893559\pi\) | |||||||
\(674\) | 23.3125 | 0.897963 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 1.24130 | 0.0477425 | ||||||||
\(677\) | 9.89706 | + | 0.865881i | 0.380375 | + | 0.0332785i | 0.275740 | − | 0.961232i | \(-0.411077\pi\) |
0.104635 | + | 0.994511i | \(0.466633\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 6.76188 | + | 1.19230i | 0.259497 | + | 0.0457563i | ||||
\(680\) | 16.9900 | + | 2.68928i | 0.651535 | + | 0.103129i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −11.7769 | − | 8.24624i | −0.450959 | − | 0.315765i | ||||
\(683\) | 17.7729 | + | 4.76224i | 0.680062 | + | 0.182222i | 0.582283 | − | 0.812986i | \(-0.302160\pi\) |
0.0977790 | + | 0.995208i | \(0.468826\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 25.8525 | + | 6.44312i | 0.987772 | + | 0.246179i | ||||
\(686\) | −5.60934 | + | 15.4115i | −0.214166 | + | 0.588416i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0.648620 | + | 7.41376i | 0.0247284 | + | 0.282647i | ||||
\(689\) | −30.2359 | − | 25.3709i | −1.15189 | − | 0.966554i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 7.98078 | + | 2.90477i | 0.303603 | + | 0.110503i | 0.489329 | − | 0.872099i | \(-0.337242\pi\) |
−0.185726 | + | 0.982602i | \(0.559464\pi\) | |||||||
\(692\) | 19.9942 | − | 5.35742i | 0.760064 | − | 0.203659i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −4.29770 | + | 2.48128i | −0.163139 | + | 0.0941881i | ||||
\(695\) | 12.9222 | + | 4.44810i | 0.490169 | + | 0.168726i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 3.56996 | − | 7.65580i | 0.135222 | − | 0.289984i | ||||
\(698\) | −16.4274 | − | 23.4607i | −0.621785 | − | 0.888001i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −3.05523 | − | 5.99339i | −0.115477 | − | 0.226529i | ||||
\(701\) | 21.8864i | 0.826637i | 0.910586 | + | 0.413319i | \(0.135630\pi\) | ||||
−0.910586 | + | 0.413319i | \(0.864370\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −24.1207 | − | 24.1207i | −0.909728 | − | 0.909728i | ||||
\(704\) | 3.28389 | − | 2.75551i | 0.123766 | − | 0.103852i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −2.28721 | + | 12.9714i | −0.0860801 | + | 0.488185i | ||||
\(707\) | −17.3826 | − | 8.10562i | −0.653739 | − | 0.304843i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −2.29997 | + | 0.405546i | −0.0863770 | + | 0.0152306i | −0.216670 | − | 0.976245i | \(-0.569519\pi\) |
0.130293 | + | 0.991476i | \(0.458408\pi\) | |||||||
\(710\) | −4.41862 | − | 4.26620i | −0.165828 | − | 0.160107i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0.358589 | + | 1.33827i | 0.0134387 | + | 0.0501538i | ||||
\(713\) | −14.7553 | + | 6.88050i | −0.552590 | + | 0.257677i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 30.0294 | + | 13.3665i | 1.12304 | + | 0.499880i | ||||
\(716\) | 10.2364 | − | 12.1993i | 0.382553 | − | 0.455909i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −2.44443 | − | 5.24209i | −0.0912252 | − | 0.195633i | ||||
\(719\) | −20.7200 | + | 35.8882i | −0.772727 | + | 1.33840i | 0.163336 | + | 0.986570i | \(0.447774\pi\) |
−0.936063 | + | 0.351832i | \(0.885559\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −1.36195 | − | 2.35896i | −0.0507216 | − | 0.0878524i | ||||
\(722\) | 17.8005 | − | 25.4217i | 0.662466 | − | 0.946099i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −2.36384 | − | 6.49461i | −0.0878516 | − | 0.241370i | ||||
\(725\) | −0.0289266 | + | 0.0116935i | −0.00107431 | + | 0.000434287i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 0.853202 | − | 9.75214i | 0.0316435 | − | 0.361687i | −0.963821 | − | 0.266551i | \(-0.914116\pi\) |
0.995464 | − | 0.0951358i | \(-0.0303285\pi\) | |||||||
\(728\) | −3.26234 | + | 3.26234i | −0.120910 | + | 0.120910i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 11.5929 | − | 20.9188i | 0.429071 | − | 0.774239i | ||||
\(731\) | −36.7996 | − | 43.8560i | −1.36108 | − | 1.62207i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 29.1774 | − | 20.4302i | 1.07769 | − | 0.754608i | 0.106837 | − | 0.994277i | \(-0.465928\pi\) |
0.970855 | + | 0.239669i | \(0.0770389\pi\) | |||||||
\(734\) | −10.1356 | + | 3.68907i | −0.374114 | + | 0.136166i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.842968 | − | 4.78071i | −0.0310722 | − | 0.176219i | ||||
\(737\) | −6.17801 | + | 23.0566i | −0.227570 | + | 0.849302i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 43.5295 | + | 25.1318i | 1.60126 | + | 0.924487i | 0.991236 | + | 0.132104i | \(0.0421732\pi\) |
0.610023 | + | 0.792384i | \(0.291160\pi\) | |||||||
\(740\) | −0.751184 | + | 10.7572i | −0.0276141 | + | 0.395443i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −15.4276 | + | 1.34974i | −0.566363 | + | 0.0495504i | ||||
\(743\) | −13.4718 | + | 1.17863i | −0.494232 | + | 0.0432397i | −0.331548 | − | 0.943439i | \(-0.607571\pi\) |
−0.162684 | + | 0.986678i | \(0.552015\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −3.16308 | − | 3.63801i | −0.115886 | − | 0.133286i | ||||
\(746\) | 3.23170 | + | 1.86582i | 0.118321 | + | 0.0683127i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −8.53515 | + | 31.8536i | −0.312076 | + | 1.16468i | ||||
\(749\) | −2.17594 | − | 12.3404i | −0.0795072 | − | 0.450908i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −40.9996 | + | 14.9226i | −1.49610 | + | 0.544535i | −0.955047 | − | 0.296455i | \(-0.904195\pi\) |
−0.541051 | + | 0.840990i | \(0.681973\pi\) | |||||||
\(752\) | 2.92589 | − | 2.04873i | 0.106696 | − | 0.0747095i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.0137544 | + | 0.0163919i | 0.000500906 | + | 0.000596957i | ||||
\(755\) | −29.5617 | − | 16.3826i | −1.07586 | − | 0.596225i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 17.7448 | − | 17.7448i | 0.644944 | − | 0.644944i | −0.306823 | − | 0.951767i | \(-0.599266\pi\) |
0.951767 | + | 0.306823i | \(0.0992658\pi\) | |||||||
\(758\) | −1.77565 | + | 20.2958i | −0.0644945 | + | 0.737176i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −15.7300 | + | 1.65481i | −0.570587 | + | 0.0600262i | ||||
\(761\) | 12.4805 | + | 34.2900i | 0.452419 | + | 1.24301i | 0.931016 | + | 0.364977i | \(0.118923\pi\) |
−0.478597 | + | 0.878035i | \(0.658854\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.770093 | + | 1.09981i | −0.0278792 | + | 0.0398157i | ||||
\(764\) | 13.5723 | + | 23.5079i | 0.491029 | + | 0.850488i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 6.80029 | − | 11.7784i | 0.245704 | − | 0.425572i | ||||
\(767\) | 13.4385 | + | 28.8190i | 0.485237 | + | 1.04059i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −11.5933 | + | 13.8163i | −0.418063 | + | 0.498228i | −0.933439 | − | 0.358736i | \(-0.883208\pi\) |
0.515376 | + | 0.856964i | \(0.327652\pi\) | |||||||
\(770\) | 12.0398 | − | 4.62296i | 0.433884 | − | 0.166600i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 16.0562 | − | 7.48712i | 0.577875 | − | 0.269467i | ||||
\(773\) | 7.27975 | + | 27.1684i | 0.261834 | + | 0.977179i | 0.964160 | + | 0.265323i | \(0.0854785\pi\) |
−0.702325 | + | 0.711856i | \(0.747855\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 7.86962 | − | 14.8074i | 0.282685 | − | 0.531899i | ||||
\(776\) | −5.02578 | + | 0.886180i | −0.180415 | + | 0.0318120i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 6.01707 | + | 2.80581i | 0.215723 | + | 0.100593i | ||||
\(779\) | −1.34877 | + | 7.64926i | −0.0483247 | + | 0.274063i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 9.02019 | − | 7.56884i | 0.322768 | − | 0.270834i | ||||
\(782\) | 26.4062 | + | 26.4062i | 0.944286 | + | 0.944286i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | − | 5.18979i | − | 0.185350i | ||||||
\(785\) | 1.86868 | − | 2.77101i | 0.0666962 | − | 0.0989015i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 21.8945 | + | 31.2685i | 0.780453 | + | 1.11460i | 0.990581 | + | 0.136929i | \(0.0437232\pi\) |
−0.210127 | + | 0.977674i | \(0.567388\pi\) | |||||||
\(788\) | −3.71294 | + | 7.96242i | −0.132268 | + | 0.283649i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 5.51098 | + | 11.2964i | 0.196072 | + | 0.401910i | ||||
\(791\) | −12.9376 | + | 7.46952i | −0.460007 | + | 0.265585i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 23.7055 | − | 6.35187i | 0.841808 | − | 0.225562i | ||||
\(794\) | −27.4428 | − | 9.98836i | −0.973908 | − | 0.354473i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −9.39836 | − | 7.88616i | −0.333116 | − | 0.279518i | ||||
\(797\) | 2.84657 | + | 32.5365i | 0.100831 | + | 1.15250i | 0.863028 | + | 0.505156i | \(0.168565\pi\) |
−0.762197 | + | 0.647345i | \(0.775879\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −9.39779 | + | 25.8202i | −0.332470 | + | 0.913453i | ||||
\(800\) | 3.65742 | + | 3.40929i | 0.129309 | + | 0.120537i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 12.9999 | + | 3.48332i | 0.459044 | + | 0.123000i | ||||
\(803\) | 37.5585 | + | 26.2987i | 1.32541 | + | 0.928062i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 2.28329 | − | 14.4250i | 0.0804753 | − | 0.508415i | ||||
\(806\) | −11.3256 | − | 1.99701i | −0.398928 | − | 0.0703417i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 14.2010 | + | 1.24242i | 0.499589 | + | 0.0437083i | ||||
\(809\) | −18.8465 | −0.662608 | −0.331304 | − | 0.943524i | \(-0.607488\pi\) | ||||
−0.331304 | + | 0.943524i | \(0.607488\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 23.8763 | 0.838409 | 0.419205 | − | 0.907892i | \(-0.362309\pi\) | ||||
0.419205 | + | 0.907892i | \(0.362309\pi\) | |||||||
\(812\) | 0.00836379 | 0.000731737i | 0.000293512 | 2.56789e-5i | ||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −20.3590 | − | 3.58984i | −0.713582 | − | 0.125824i | ||||
\(815\) | 21.4977 | + | 29.5831i | 0.753031 | + | 1.03625i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 43.1214 | + | 30.1939i | 1.50863 | + | 1.05635i | ||||
\(818\) | −8.68127 | − | 2.32614i | −0.303533 | − | 0.0813315i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 2.10455 | − | 1.26482i | 0.0734942 | − | 0.0441693i | ||||
\(821\) | −7.71011 | + | 21.1833i | −0.269085 | + | 0.739304i | 0.729390 | + | 0.684098i | \(0.239804\pi\) |
−0.998475 | + | 0.0552062i | \(0.982418\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 4.54252 | + | 51.9212i | 0.158342 | + | 1.80986i | 0.495712 | + | 0.868487i | \(0.334907\pi\) |
−0.337370 | + | 0.941372i | \(0.609537\pi\) | |||||||
\(824\) | 1.55089 | + | 1.30135i | 0.0540277 | + | 0.0453346i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 11.7239 | + | 4.26716i | 0.407928 | + | 0.148474i | ||||
\(827\) | −19.7756 | + | 5.29886i | −0.687665 | + | 0.184259i | −0.585699 | − | 0.810529i | \(-0.699180\pi\) |
−0.101966 | + | 0.994788i | \(0.532513\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 8.17054 | − | 4.71726i | 0.283775 | − | 0.163837i | −0.351356 | − | 0.936242i | \(-0.614279\pi\) |
0.635131 | + | 0.772404i | \(0.280946\pi\) | |||||||
\(830\) | 10.0522 | − | 29.2028i | 0.348917 | − | 1.01364i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 1.44920 | − | 3.10782i | 0.0502419 | − | 0.107744i | ||||
\(833\) | 22.8993 | + | 32.7036i | 0.793413 | + | 1.13311i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 15.8424 | + | 10.6836i | 0.548248 | + | 0.369722i | ||||
\(836\) | − | 30.3227i | − | 1.04873i | ||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 8.74727 | + | 8.74727i | 0.302169 | + | 0.302169i | ||||
\(839\) | −34.6389 | + | 29.0655i | −1.19587 | + | 1.00345i | −0.196129 | + | 0.980578i | \(0.562837\pi\) |
−0.999738 | + | 0.0228742i | \(0.992718\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −5.03579 | + | 28.5594i | −0.173648 | + | 0.984806i | ||||
\(842\) | −18.2949 | − | 8.53103i | −0.630482 | − | 0.293999i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −6.74335 | + | 1.18903i | −0.232116 | + | 0.0409283i | ||||
\(845\) | −2.77521 | + | 0.0487068i | −0.0954703 | + | 0.00167556i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 2.56876 | + | 9.58676i | 0.0882638 | + | 0.329405i | ||||
\(848\) | 10.4319 | − | 4.86449i | 0.358234 | − | 0.167047i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −38.0904 | − | 5.34583i | −1.30649 | − | 0.183360i | ||||
\(851\) | −15.0480 | + | 17.9335i | −0.515839 | + | 0.614753i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 18.5338 | + | 39.7458i | 0.634584 | + | 1.36087i | 0.915959 | + | 0.401272i | \(0.131432\pi\) |
−0.281375 | + | 0.959598i | \(0.590791\pi\) | |||||||
\(854\) | 4.81460 | − | 8.33913i | 0.164752 | − | 0.285359i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 4.65675 | + | 8.06573i | 0.159165 | + | 0.275681i | ||||
\(857\) | −1.31729 | + | 1.88128i | −0.0449977 | + | 0.0642633i | −0.841020 | − | 0.541003i | \(-0.818045\pi\) |
0.796023 | + | 0.605267i | \(0.206934\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −1.23367 | − | 3.38949i | −0.0420924 | − | 0.115648i | 0.916866 | − | 0.399196i | \(-0.130711\pi\) |
−0.958958 | + | 0.283548i | \(0.908488\pi\) | |||||||
\(860\) | −1.74104 | − | 16.5497i | −0.0593689 | − | 0.564339i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0.720654 | − | 8.23711i | 0.0245456 | − | 0.280557i | ||||
\(863\) | −11.9419 | + | 11.9419i | −0.406507 | + | 0.406507i | −0.880518 | − | 0.474012i | \(-0.842805\pi\) |
0.474012 | + | 0.880518i | \(0.342805\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −44.4912 | + | 12.7623i | −1.51275 | + | 0.433930i | ||||
\(866\) | 22.4198 | + | 26.7188i | 0.761854 | + | 0.907942i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −3.69623 | + | 2.58813i | −0.125458 | + | 0.0878469i | ||||
\(869\) | −22.6432 | + | 8.24143i | −0.768116 | + | 0.279571i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 3.31564 | + | 18.8039i | 0.112346 | + | 0.637148i | ||||
\(872\) | 0.258276 | − | 0.963899i | 0.00874633 | − | 0.0326417i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −29.7375 | − | 17.1690i | −1.00589 | − | 0.580749i | ||||
\(875\) | 7.06582 | + | 13.2797i | 0.238868 | + | 0.448935i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 44.3005 | − | 3.87579i | 1.49592 | − | 0.130876i | 0.690394 | − | 0.723434i | \(-0.257437\pi\) |
0.805528 | + | 0.592558i | \(0.201882\pi\) | |||||||
\(878\) | 2.35686 | − | 0.206198i | 0.0795401 | − | 0.00695886i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −7.23374 | + | 6.28941i | −0.243849 | + | 0.212016i | ||||
\(881\) | −20.0596 | − | 11.5814i | −0.675825 | − | 0.390188i | 0.122455 | − | 0.992474i | \(-0.460923\pi\) |
−0.798280 | + | 0.602286i | \(0.794257\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 5.68779 | − | 21.2271i | 0.191409 | − | 0.714350i | −0.801758 | − | 0.597649i | \(-0.796102\pi\) |
0.993167 | − | 0.116701i | \(-0.0372318\pi\) | |||||||
\(884\) | 4.58069 | + | 25.9784i | 0.154065 | + | 0.873747i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −3.26528 | + | 1.18846i | −0.109699 | + | 0.0399272i | ||||
\(887\) | 29.4217 | − | 20.6013i | 0.987883 | − | 0.691723i | 0.0363722 | − | 0.999338i | \(-0.488420\pi\) |
0.951511 | + | 0.307615i | \(0.0995309\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −9.61945 | − | 11.4640i | −0.322626 | − | 0.384491i | ||||
\(890\) | −0.854217 | − | 2.97793i | −0.0286334 | − | 0.0998206i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0.0398865 | − | 0.0398865i | 0.00133550 | − | 0.00133550i | ||||
\(893\) | 2.20203 | − | 25.1693i | 0.0736880 | − | 0.842258i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −22.4071 | + | 27.6759i | −0.748988 | + | 0.925103i | ||||
\(896\) | −0.460167 | − | 1.26430i | −0.0153731 | − | 0.0422373i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 3.15822 | − | 4.51040i | 0.105391 | − | 0.150514i | ||||
\(899\) | 0.0104640 | + | 0.0181241i | 0.000348992 | + | 0.000604472i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −44.2730 | + | 76.6832i | −1.47495 | + | 2.55469i | ||||
\(902\) | 1.98938 | + | 4.26623i | 0.0662390 | + | 0.142050i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 7.13717 | − | 8.50575i | 0.237379 | − | 0.282897i | ||||
\(905\) | 5.53974 | + | 14.4274i | 0.184147 | + | 0.479583i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −23.5226 | + | 10.9688i | −0.781055 | + | 0.364212i | −0.771898 | − | 0.635746i | \(-0.780693\pi\) |
−0.00915710 | + | 0.999958i | \(0.502915\pi\) | |||||||
\(908\) | 1.92301 | + | 7.17678i | 0.0638174 | + | 0.238170i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 7.16567 | − | 7.42169i | 0.237540 | − | 0.246027i | ||||
\(911\) | 13.9071 | − | 2.45220i | 0.460763 | − | 0.0812449i | 0.0615515 | − | 0.998104i | \(-0.480395\pi\) |
0.399211 | + | 0.916859i | \(0.369284\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 53.6617 | + | 25.0229i | 1.77594 | + | 0.828136i | ||||
\(914\) | 1.75237 | − | 9.93817i | 0.0579631 | − | 0.328725i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −9.42495 | + | 7.90847i | −0.311409 | + | 0.261303i | ||||
\(917\) | −6.93510 | − | 6.93510i | −0.229017 | − | 0.229017i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 27.7976i | − | 0.916959i | −0.888705 | − | 0.458479i | \(-0.848394\pi\) | ||
0.888705 | − | 0.458479i | \(-0.151606\pi\) | |||||||
\(920\) | 2.07223 | + | 10.6553i | 0.0683194 | + | 0.351294i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −6.92059 | − | 9.88363i | −0.227917 | − | 0.325500i | ||||
\(923\) | 3.98066 | − | 8.53656i | 0.131025 | − | 0.280984i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 1.25735 | − | 24.0796i | 0.0413413 | − | 0.791733i | ||||
\(926\) | −8.80004 | + | 5.08071i | −0.289187 | + | 0.166962i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −0.00602752 | + | 0.00161507i | −0.000197863 | + | 5.30172e-5i | ||||
\(929\) | −30.6608 | − | 11.1596i | −1.00595 | − | 0.366135i | −0.214072 | − | 0.976818i | \(-0.568673\pi\) |
−0.791875 | + | 0.610683i | \(0.790895\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −28.1214 | − | 23.5967i | −0.921643 | − | 0.773350i | ||||
\(932\) | 1.14099 | + | 13.0416i | 0.0373743 | + | 0.427190i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −6.98185 | + | 19.1825i | −0.228453 | + | 0.627670i | ||||
\(935\) | 17.8323 | − | 71.5508i | 0.583180 | − | 2.33996i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −40.8389 | − | 10.9427i | −1.33415 | − | 0.357484i | −0.479888 | − | 0.877330i | \(-0.659323\pi\) |
−0.854260 | + | 0.519846i | \(0.825989\pi\) | |||||||
\(938\) | 6.13687 | + | 4.29708i | 0.200376 | + | 0.140305i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −6.46109 | + | 4.69520i | −0.210737 | + | 0.153140i | ||||
\(941\) | −55.9278 | − | 9.86158i | −1.82319 | − | 0.321478i | −0.845896 | − | 0.533348i | \(-0.820934\pi\) |
−0.977298 | + | 0.211869i | \(0.932045\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 5.31031 | + | 0.464592i | 0.172927 | + | 0.0151292i | ||||
\(944\) | −9.27307 | −0.301813 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 31.9028 | 1.03725 | ||||||||
\(947\) | 44.2394 | + | 3.87045i | 1.43759 | + | 0.125773i | 0.779138 | − | 0.626852i | \(-0.215657\pi\) |
0.658450 | + | 0.752625i | \(0.271212\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 36.1194 | + | 6.36882i | 1.17248 | + | 0.206741i | ||||
\(950\) | 35.1030 | − | 4.31691i | 1.13889 | − | 0.140059i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 8.47831 | + | 5.93658i | 0.274784 | + | 0.192406i | ||||
\(953\) | 9.05327 | + | 2.42582i | 0.293264 | + | 0.0785799i | 0.402452 | − | 0.915441i | \(-0.368158\pi\) |
−0.109187 | + | 0.994021i | \(0.534825\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −31.2664 | − | 52.0247i | −1.01176 | − | 1.68348i | ||||
\(956\) | −0.00925442 | + | 0.0254263i | −0.000299309 | + | 0.000822346i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −3.62516 | − | 41.4358i | −0.117124 | − | 1.33873i | ||||
\(959\) | 12.2806 | + | 10.3047i | 0.396562 | + | 0.332755i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 18.5611 | + | 6.75570i | 0.598747 | + | 0.217926i | ||||
\(962\) | −15.9733 | + | 4.28003i | −0.514999 | + | 0.137994i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 6.29281 | − | 3.63315i | 0.202678 | − | 0.117016i | ||||
\(965\) | −35.6034 | + | 17.3692i | −1.14611 | + | 0.559133i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 10.2031 | − | 21.8807i | 0.328111 | − | 0.703636i | −0.671180 | − | 0.741295i | \(-0.734212\pi\) |
0.999291 | + | 0.0376584i | \(0.0119899\pi\) | |||||||
\(968\) | −4.23112 | − | 6.04266i | −0.135993 | − | 0.194219i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 11.2015 | − | 2.17846i | 0.359658 | − | 0.0699460i | ||||
\(971\) | − | 42.1000i | − | 1.35105i | −0.737336 | − | 0.675526i | \(-0.763917\pi\) | ||
0.737336 | − | 0.675526i | \(-0.236083\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 5.81457 | + | 5.81457i | 0.186407 | + | 0.186407i | ||||
\(974\) | 23.3617 | − | 19.6028i | 0.748556 | − | 0.628113i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −1.24279 | + | 7.04819i | −0.0397806 | + | 0.225607i | ||||
\(977\) | −14.8310 | − | 6.91579i | −0.474484 | − | 0.221256i | 0.170640 | − | 0.985333i | \(-0.445417\pi\) |
−0.645124 | + | 0.764078i | \(0.723194\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 5.84906 | − | 1.03135i | 0.186937 | − | 0.0329620i | ||||
\(980\) | 0.203639 | + | 11.6029i | 0.00650501 | + | 0.370642i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −1.56304 | − | 5.83336i | −0.0498787 | − | 0.186150i | ||||
\(983\) | −5.97463 | + | 2.78601i | −0.190561 | + | 0.0888601i | −0.515557 | − | 0.856855i | \(-0.672415\pi\) |
0.324996 | + | 0.945715i | \(0.394637\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 7.98867 | − | 17.9475i | 0.254540 | − | 0.571854i | ||||
\(986\) | 0.0308562 | − | 0.0367730i | 0.000982663 | − | 0.00117109i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −10.2509 | − | 21.9831i | −0.326124 | − | 0.699375i | ||||
\(989\) | 18.0636 | − | 31.2872i | 0.574391 | − | 0.994874i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −27.5644 | − | 47.7429i | −0.875612 | − | 1.51660i | −0.856110 | − | 0.516794i | \(-0.827125\pi\) |
−0.0195020 | − | 0.999810i | \(-0.506208\pi\) | |||||||
\(992\) | 1.92363 | − | 2.74723i | 0.0610754 | − | 0.0872247i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −1.26399 | − | 3.47278i | −0.0400913 | − | 0.110150i | ||||
\(995\) | 21.3216 | + | 17.2625i | 0.675939 | + | 0.547258i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 2.30128 | − | 26.3037i | 0.0728822 | − | 0.833047i | −0.868497 | − | 0.495695i | \(-0.834913\pi\) |
0.941379 | − | 0.337352i | \(-0.109531\pi\) | |||||||
\(998\) | −10.8133 | + | 10.8133i | −0.342290 | + | 0.342290i | ||||
\(999\) | 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 | 810.2.s.a.773.11 | 216 | ||
3.2 | odd | 2 | 270.2.r.a.113.1 | ✓ | 216 | ||
5.2 | odd | 4 | inner | 810.2.s.a.287.7 | 216 | ||
15.2 | even | 4 | 270.2.r.a.167.14 | yes | 216 | ||
27.11 | odd | 18 | inner | 810.2.s.a.683.7 | 216 | ||
27.16 | even | 9 | 270.2.r.a.173.14 | yes | 216 | ||
135.92 | even | 36 | inner | 810.2.s.a.197.11 | 216 | ||
135.97 | odd | 36 | 270.2.r.a.227.1 | yes | 216 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
270.2.r.a.113.1 | ✓ | 216 | 3.2 | odd | 2 | ||
270.2.r.a.167.14 | yes | 216 | 15.2 | even | 4 | ||
270.2.r.a.173.14 | yes | 216 | 27.16 | even | 9 | ||
270.2.r.a.227.1 | yes | 216 | 135.97 | odd | 36 | ||
810.2.s.a.197.11 | 216 | 135.92 | even | 36 | inner | ||
810.2.s.a.287.7 | 216 | 5.2 | odd | 4 | inner | ||
810.2.s.a.683.7 | 216 | 27.11 | odd | 18 | inner | ||
810.2.s.a.773.11 | 216 | 1.1 | even | 1 | trivial |