Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1155,2,Mod(1121,1155)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1155, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1155.1121");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1155 = 3 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1155.l (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(9.22272143346\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 1121.11 | ||
Character | \(\chi\) | \(=\) | 1155.1121 |
Dual form | 1155.2.l.e.1121.12 |
$q$-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 \(\left(\mathbb{Z}/1155\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(232\) | \(386\) | \(661\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.80850 | −1.27880 | −0.639402 | − | 0.768873i | \(-0.720818\pi\) | ||||
−0.639402 | + | 0.768873i | \(0.720818\pi\) | |||||||
\(3\) | −1.28663 | + | 1.15956i | −0.742837 | + | 0.669472i | ||||
\(4\) | 1.27068 | 0.635340 | ||||||||
\(5\) | 1.00000i | 0.447214i | ||||||||
\(6\) | 2.32688 | − | 2.09707i | 0.949943 | − | 0.856123i | ||||
\(7\) | − | 1.00000i | − | 0.377964i | ||||||
\(8\) | 1.31898 | 0.466329 | ||||||||
\(9\) | 0.310844 | − | 2.98385i | 0.103615 | − | 0.994618i | ||||
\(10\) | − | 1.80850i | − | 0.571899i | ||||||
\(11\) | −1.44078 | + | 2.98733i | −0.434411 | + | 0.900715i | ||||
\(12\) | −1.63490 | + | 1.47343i | −0.471954 | + | 0.425342i | ||||
\(13\) | 1.34941i | 0.374260i | 0.982335 | + | 0.187130i | \(0.0599186\pi\) | ||||
−0.982335 | + | 0.187130i | \(0.940081\pi\) | |||||||
\(14\) | 1.80850i | 0.483342i | ||||||||
\(15\) | −1.15956 | − | 1.28663i | −0.299397 | − | 0.332207i | ||||
\(16\) | −4.92673 | −1.23168 | ||||||||
\(17\) | 3.37791 | 0.819263 | 0.409631 | − | 0.912251i | \(-0.365657\pi\) | ||||
0.409631 | + | 0.912251i | \(0.365657\pi\) | |||||||
\(18\) | −0.562161 | + | 5.39630i | −0.132503 | + | 1.27192i | ||||
\(19\) | − | 6.55028i | − | 1.50274i | −0.659883 | − | 0.751368i | \(-0.729394\pi\) | ||
0.659883 | − | 0.751368i | \(-0.270606\pi\) | |||||||
\(20\) | 1.27068i | 0.284132i | ||||||||
\(21\) | 1.15956 | + | 1.28663i | 0.253037 | + | 0.280766i | ||||
\(22\) | 2.60565 | − | 5.40260i | 0.555526 | − | 1.15184i | ||||
\(23\) | 0.712889i | 0.148648i | 0.997234 | + | 0.0743239i | \(0.0236799\pi\) | ||||
−0.997234 | + | 0.0743239i | \(0.976320\pi\) | |||||||
\(24\) | −1.69704 | + | 1.52943i | −0.346407 | + | 0.312194i | ||||
\(25\) | −1.00000 | −0.200000 | ||||||||
\(26\) | − | 2.44042i | − | 0.478605i | ||||||
\(27\) | 3.06001 | + | 4.19956i | 0.588900 | + | 0.808206i | ||||
\(28\) | − | 1.27068i | − | 0.240136i | ||||||
\(29\) | 0.481775 | 0.0894634 | 0.0447317 | − | 0.998999i | \(-0.485757\pi\) | ||||
0.0447317 | + | 0.998999i | \(0.485757\pi\) | |||||||
\(30\) | 2.09707 | + | 2.32688i | 0.382870 | + | 0.424828i | ||||
\(31\) | −10.7144 | −1.92436 | −0.962180 | − | 0.272413i | \(-0.912178\pi\) | ||||
−0.962180 | + | 0.272413i | \(0.912178\pi\) | |||||||
\(32\) | 6.27205 | 1.10875 | ||||||||
\(33\) | −1.61024 | − | 5.51427i | −0.280307 | − | 0.959910i | ||||
\(34\) | −6.10895 | −1.04768 | ||||||||
\(35\) | 1.00000 | 0.169031 | ||||||||
\(36\) | 0.394982 | − | 3.79152i | 0.0658304 | − | 0.631920i | ||||
\(37\) | −7.74452 | −1.27319 | −0.636595 | − | 0.771198i | \(-0.719658\pi\) | ||||
−0.636595 | + | 0.771198i | \(0.719658\pi\) | |||||||
\(38\) | 11.8462i | 1.92170i | ||||||||
\(39\) | −1.56473 | − | 1.73620i | −0.250557 | − | 0.278014i | ||||
\(40\) | 1.31898i | 0.208549i | ||||||||
\(41\) | −4.14472 | −0.647297 | −0.323648 | − | 0.946177i | \(-0.604909\pi\) | ||||
−0.323648 | + | 0.946177i | \(0.604909\pi\) | |||||||
\(42\) | −2.09707 | − | 2.32688i | −0.323584 | − | 0.359045i | ||||
\(43\) | 8.37596i | 1.27732i | 0.769488 | + | 0.638661i | \(0.220511\pi\) | ||||
−0.769488 | + | 0.638661i | \(0.779489\pi\) | |||||||
\(44\) | −1.83076 | + | 3.79594i | −0.275998 | + | 0.572260i | ||||
\(45\) | 2.98385 | + | 0.310844i | 0.444806 | + | 0.0463378i | ||||
\(46\) | − | 1.28926i | − | 0.190091i | ||||||
\(47\) | 8.28479i | 1.20846i | 0.796810 | + | 0.604230i | \(0.206519\pi\) | ||||
−0.796810 | + | 0.604230i | \(0.793481\pi\) | |||||||
\(48\) | 6.33889 | − | 5.71284i | 0.914940 | − | 0.824577i | ||||
\(49\) | −1.00000 | −0.142857 | ||||||||
\(50\) | 1.80850 | 0.255761 | ||||||||
\(51\) | −4.34612 | + | 3.91688i | −0.608579 | + | 0.548474i | ||||
\(52\) | 1.71467i | 0.237782i | ||||||||
\(53\) | − | 12.2763i | − | 1.68627i | −0.537699 | − | 0.843137i | \(-0.680706\pi\) | ||
0.537699 | − | 0.843137i | \(-0.319294\pi\) | |||||||
\(54\) | −5.53404 | − | 7.59492i | −0.753087 | − | 1.03354i | ||||
\(55\) | −2.98733 | − | 1.44078i | −0.402812 | − | 0.194274i | ||||
\(56\) | − | 1.31898i | − | 0.176256i | ||||||
\(57\) | 7.59543 | + | 8.42779i | 1.00604 | + | 1.11629i | ||||
\(58\) | −0.871291 | −0.114406 | ||||||||
\(59\) | 1.07631i | 0.140124i | 0.997543 | + | 0.0700620i | \(0.0223197\pi\) | ||||
−0.997543 | + | 0.0700620i | \(0.977680\pi\) | |||||||
\(60\) | −1.47343 | − | 1.63490i | −0.190219 | − | 0.211064i | ||||
\(61\) | − | 9.12424i | − | 1.16824i | −0.811668 | − | 0.584120i | \(-0.801440\pi\) | ||
0.811668 | − | 0.584120i | \(-0.198560\pi\) | |||||||
\(62\) | 19.3770 | 2.46088 | ||||||||
\(63\) | −2.98385 | − | 0.310844i | −0.375930 | − | 0.0391626i | ||||
\(64\) | −1.48955 | −0.186193 | ||||||||
\(65\) | −1.34941 | −0.167374 | ||||||||
\(66\) | 2.91213 | + | 9.97256i | 0.358458 | + | 1.22754i | ||||
\(67\) | 13.1988 | 1.61248 | 0.806242 | − | 0.591585i | \(-0.201498\pi\) | ||||
0.806242 | + | 0.591585i | \(0.201498\pi\) | |||||||
\(68\) | 4.29224 | 0.520510 | ||||||||
\(69\) | −0.826638 | − | 0.917226i | −0.0995155 | − | 0.110421i | ||||
\(70\) | −1.80850 | −0.216157 | ||||||||
\(71\) | − | 3.34547i | − | 0.397034i | −0.980097 | − | 0.198517i | \(-0.936388\pi\) | ||
0.980097 | − | 0.198517i | \(-0.0636125\pi\) | |||||||
\(72\) | 0.409996 | − | 3.93564i | 0.0483185 | − | 0.463819i | ||||
\(73\) | − | 8.92255i | − | 1.04431i | −0.852852 | − | 0.522153i | \(-0.825129\pi\) | ||
0.852852 | − | 0.522153i | \(-0.174871\pi\) | |||||||
\(74\) | 14.0060 | 1.62816 | ||||||||
\(75\) | 1.28663 | − | 1.15956i | 0.148567 | − | 0.133894i | ||||
\(76\) | − | 8.32330i | − | 0.954748i | ||||||
\(77\) | 2.98733 | + | 1.44078i | 0.340438 | + | 0.164192i | ||||
\(78\) | 2.82981 | + | 3.13992i | 0.320413 | + | 0.355526i | ||||
\(79\) | − | 17.6143i | − | 1.98177i | −0.134723 | − | 0.990883i | \(-0.543014\pi\) | ||
0.134723 | − | 0.990883i | \(-0.456986\pi\) | |||||||
\(80\) | − | 4.92673i | − | 0.550825i | ||||||
\(81\) | −8.80675 | − | 1.85502i | −0.978528 | − | 0.206114i | ||||
\(82\) | 7.49574 | 0.827765 | ||||||||
\(83\) | 0.931766 | 0.102275 | 0.0511373 | − | 0.998692i | \(-0.483715\pi\) | ||||
0.0511373 | + | 0.998692i | \(0.483715\pi\) | |||||||
\(84\) | 1.47343 | + | 1.63490i | 0.160764 | + | 0.178382i | ||||
\(85\) | 3.37791i | 0.366385i | ||||||||
\(86\) | − | 15.1479i | − | 1.63344i | ||||||
\(87\) | −0.619867 | + | 0.558647i | −0.0664567 | + | 0.0598932i | ||||
\(88\) | −1.90035 | + | 3.94023i | −0.202578 | + | 0.420030i | ||||
\(89\) | 5.94550i | 0.630222i | 0.949055 | + | 0.315111i | \(0.102042\pi\) | ||||
−0.949055 | + | 0.315111i | \(0.897958\pi\) | |||||||
\(90\) | −5.39630 | − | 0.562161i | −0.568820 | − | 0.0592570i | ||||
\(91\) | 1.34941 | 0.141457 | ||||||||
\(92\) | 0.905854i | 0.0944418i | ||||||||
\(93\) | 13.7855 | − | 12.4240i | 1.42949 | − | 1.28831i | ||||
\(94\) | − | 14.9831i | − | 1.54538i | ||||||
\(95\) | 6.55028 | 0.672044 | ||||||||
\(96\) | −8.06982 | + | 7.27281i | −0.823622 | + | 0.742278i | ||||
\(97\) | 12.9386 | 1.31372 | 0.656859 | − | 0.754013i | \(-0.271885\pi\) | ||||
0.656859 | + | 0.754013i | \(0.271885\pi\) | |||||||
\(98\) | 1.80850 | 0.182686 | ||||||||
\(99\) | 8.46591 | + | 5.22766i | 0.850856 | + | 0.525399i | ||||
\(100\) | −1.27068 | −0.127068 | ||||||||
\(101\) | −4.29671 | −0.427539 | −0.213769 | − | 0.976884i | \(-0.568574\pi\) | ||||
−0.213769 | + | 0.976884i | \(0.568574\pi\) | |||||||
\(102\) | 7.85997 | − | 7.08369i | 0.778253 | − | 0.701390i | ||||
\(103\) | 5.99656 | 0.590858 | 0.295429 | − | 0.955365i | \(-0.404537\pi\) | ||||
0.295429 | + | 0.955365i | \(0.404537\pi\) | |||||||
\(104\) | 1.77985i | 0.174528i | ||||||||
\(105\) | −1.28663 | + | 1.15956i | −0.125562 | + | 0.113161i | ||||
\(106\) | 22.2016i | 2.15641i | ||||||||
\(107\) | −19.4116 | −1.87659 | −0.938295 | − | 0.345837i | \(-0.887595\pi\) | ||||
−0.938295 | + | 0.345837i | \(0.887595\pi\) | |||||||
\(108\) | 3.88829 | + | 5.33629i | 0.374151 | + | 0.513485i | ||||
\(109\) | − | 12.3702i | − | 1.18485i | −0.805626 | − | 0.592424i | \(-0.798171\pi\) | ||
0.805626 | − | 0.592424i | \(-0.201829\pi\) | |||||||
\(110\) | 5.40260 | + | 2.60565i | 0.515118 | + | 0.248439i | ||||
\(111\) | 9.96434 | − | 8.98023i | 0.945773 | − | 0.852365i | ||||
\(112\) | 4.92673i | 0.465532i | ||||||||
\(113\) | − | 9.42002i | − | 0.886161i | −0.896482 | − | 0.443080i | \(-0.853886\pi\) | ||
0.896482 | − | 0.443080i | \(-0.146114\pi\) | |||||||
\(114\) | −13.7364 | − | 15.2417i | −1.28653 | − | 1.42751i | ||||
\(115\) | −0.712889 | −0.0664773 | ||||||||
\(116\) | 0.612181 | 0.0568396 | ||||||||
\(117\) | 4.02645 | + | 0.419457i | 0.372246 | + | 0.0387788i | ||||
\(118\) | − | 1.94651i | − | 0.179191i | ||||||
\(119\) | − | 3.37791i | − | 0.309652i | ||||||
\(120\) | −1.52943 | − | 1.69704i | −0.139618 | − | 0.154918i | ||||
\(121\) | −6.84833 | − | 8.60816i | −0.622575 | − | 0.782560i | ||||
\(122\) | 16.5012i | 1.49395i | ||||||||
\(123\) | 5.33273 | − | 4.80605i | 0.480836 | − | 0.433347i | ||||
\(124\) | −13.6145 | −1.22262 | ||||||||
\(125\) | − | 1.00000i | − | 0.0894427i | ||||||
\(126\) | 5.39630 | + | 0.562161i | 0.480741 | + | 0.0500813i | ||||
\(127\) | − | 15.9298i | − | 1.41355i | −0.707441 | − | 0.706773i | \(-0.750150\pi\) | ||
0.707441 | − | 0.706773i | \(-0.249850\pi\) | |||||||
\(128\) | −9.85025 | −0.870647 | ||||||||
\(129\) | −9.71242 | − | 10.7768i | −0.855131 | − | 0.948842i | ||||
\(130\) | 2.44042 | 0.214039 | ||||||||
\(131\) | 9.25617 | 0.808715 | 0.404358 | − | 0.914601i | \(-0.367495\pi\) | ||||
0.404358 | + | 0.914601i | \(0.367495\pi\) | |||||||
\(132\) | −2.04610 | − | 7.00686i | −0.178090 | − | 0.609869i | ||||
\(133\) | −6.55028 | −0.567981 | ||||||||
\(134\) | −23.8700 | −2.06205 | ||||||||
\(135\) | −4.19956 | + | 3.06001i | −0.361441 | + | 0.263364i | ||||
\(136\) | 4.45539 | 0.382046 | ||||||||
\(137\) | − | 4.85552i | − | 0.414835i | −0.978253 | − | 0.207418i | \(-0.933494\pi\) | ||
0.978253 | − | 0.207418i | \(-0.0665059\pi\) | |||||||
\(138\) | 1.49498 | + | 1.65881i | 0.127261 | + | 0.141207i | ||||
\(139\) | 8.54162i | 0.724490i | 0.932083 | + | 0.362245i | \(0.117990\pi\) | ||||
−0.932083 | + | 0.362245i | \(0.882010\pi\) | |||||||
\(140\) | 1.27068 | 0.107392 | ||||||||
\(141\) | −9.60670 | − | 10.6595i | −0.809030 | − | 0.897690i | ||||
\(142\) | 6.05028i | 0.507728i | ||||||||
\(143\) | −4.03115 | − | 1.94420i | −0.337102 | − | 0.162583i | ||||
\(144\) | −1.53144 | + | 14.7006i | −0.127620 | + | 1.22505i | ||||
\(145\) | 0.481775i | 0.0400092i | ||||||||
\(146\) | 16.1365i | 1.33546i | ||||||||
\(147\) | 1.28663 | − | 1.15956i | 0.106120 | − | 0.0956389i | ||||
\(148\) | −9.84079 | −0.808908 | ||||||||
\(149\) | 6.39327 | 0.523757 | 0.261878 | − | 0.965101i | \(-0.415658\pi\) | ||||
0.261878 | + | 0.965101i | \(0.415658\pi\) | |||||||
\(150\) | −2.32688 | + | 2.09707i | −0.189989 | + | 0.171225i | ||||
\(151\) | − | 3.08127i | − | 0.250750i | −0.992109 | − | 0.125375i | \(-0.959987\pi\) | ||
0.992109 | − | 0.125375i | \(-0.0400134\pi\) | |||||||
\(152\) | − | 8.63967i | − | 0.700770i | ||||||
\(153\) | 1.05000 | − | 10.0792i | 0.0848875 | − | 0.814853i | ||||
\(154\) | −5.40260 | − | 2.60565i | −0.435354 | − | 0.209969i | ||||
\(155\) | − | 10.7144i | − | 0.860600i | ||||||
\(156\) | −1.98826 | − | 2.20615i | −0.159189 | − | 0.176634i | ||||
\(157\) | 19.5792 | 1.56259 | 0.781297 | − | 0.624160i | \(-0.214559\pi\) | ||||
0.781297 | + | 0.624160i | \(0.214559\pi\) | |||||||
\(158\) | 31.8555i | 2.53429i | ||||||||
\(159\) | 14.2351 | + | 15.7950i | 1.12891 | + | 1.25263i | ||||
\(160\) | 6.27205i | 0.495849i | ||||||||
\(161\) | 0.712889 | 0.0561836 | ||||||||
\(162\) | 15.9270 | + | 3.35481i | 1.25135 | + | 0.263579i | ||||
\(163\) | −17.8048 | −1.39458 | −0.697289 | − | 0.716790i | \(-0.745611\pi\) | ||||
−0.697289 | + | 0.716790i | \(0.745611\pi\) | |||||||
\(164\) | −5.26661 | −0.411253 | ||||||||
\(165\) | 5.51427 | − | 1.61024i | 0.429285 | − | 0.125357i | ||||
\(166\) | −1.68510 | −0.130789 | ||||||||
\(167\) | −18.4581 | −1.42833 | −0.714165 | − | 0.699977i | \(-0.753194\pi\) | ||||
−0.714165 | + | 0.699977i | \(0.753194\pi\) | |||||||
\(168\) | 1.52943 | + | 1.69704i | 0.117998 | + | 0.130929i | ||||
\(169\) | 11.1791 | 0.859929 | ||||||||
\(170\) | − | 6.10895i | − | 0.468535i | ||||||
\(171\) | −19.5451 | − | 2.03611i | −1.49465 | − | 0.155705i | ||||
\(172\) | 10.6432i | 0.811533i | ||||||||
\(173\) | 16.0928 | 1.22351 | 0.611757 | − | 0.791046i | \(-0.290463\pi\) | ||||
0.611757 | + | 0.791046i | \(0.290463\pi\) | |||||||
\(174\) | 1.12103 | − | 1.01031i | 0.0849851 | − | 0.0765917i | ||||
\(175\) | 1.00000i | 0.0755929i | ||||||||
\(176\) | 7.09832 | − | 14.7178i | 0.535056 | − | 1.10940i | ||||
\(177\) | −1.24805 | − | 1.38482i | −0.0938091 | − | 0.104089i | ||||
\(178\) | − | 10.7524i | − | 0.805930i | ||||||
\(179\) | − | 6.83897i | − | 0.511168i | −0.966787 | − | 0.255584i | \(-0.917732\pi\) | ||
0.966787 | − | 0.255584i | \(-0.0822678\pi\) | |||||||
\(180\) | 3.79152 | + | 0.394982i | 0.282603 | + | 0.0294403i | ||||
\(181\) | 12.6394 | 0.939483 | 0.469741 | − | 0.882804i | \(-0.344347\pi\) | ||||
0.469741 | + | 0.882804i | \(0.344347\pi\) | |||||||
\(182\) | −2.44042 | −0.180896 | ||||||||
\(183\) | 10.5801 | + | 11.7395i | 0.782104 | + | 0.867812i | ||||
\(184\) | 0.940286i | 0.0693188i | ||||||||
\(185\) | − | 7.74452i | − | 0.569388i | ||||||
\(186\) | −24.9311 | + | 22.4688i | −1.82803 | + | 1.64749i | ||||
\(187\) | −4.86681 | + | 10.0909i | −0.355896 | + | 0.737922i | ||||
\(188\) | 10.5273i | 0.767783i | ||||||||
\(189\) | 4.19956 | − | 3.06001i | 0.305473 | − | 0.222583i | ||||
\(190\) | −11.8462 | −0.859413 | ||||||||
\(191\) | − | 2.74904i | − | 0.198913i | −0.995042 | − | 0.0994567i | \(-0.968290\pi\) | ||
0.995042 | − | 0.0994567i | \(-0.0317105\pi\) | |||||||
\(192\) | 1.91650 | − | 1.72722i | 0.138311 | − | 0.124651i | ||||
\(193\) | 10.8177i | 0.778678i | 0.921095 | + | 0.389339i | \(0.127296\pi\) | ||||
−0.921095 | + | 0.389339i | \(0.872704\pi\) | |||||||
\(194\) | −23.3995 | −1.67999 | ||||||||
\(195\) | 1.73620 | − | 1.56473i | 0.124332 | − | 0.112052i | ||||
\(196\) | −1.27068 | −0.0907628 | ||||||||
\(197\) | 19.8368 | 1.41332 | 0.706658 | − | 0.707555i | \(-0.250202\pi\) | ||||
0.706658 | + | 0.707555i | \(0.250202\pi\) | |||||||
\(198\) | −15.3106 | − | 9.45423i | −1.08808 | − | 0.671883i | ||||
\(199\) | −2.67260 | −0.189456 | −0.0947278 | − | 0.995503i | \(-0.530198\pi\) | ||||
−0.0947278 | + | 0.995503i | \(0.530198\pi\) | |||||||
\(200\) | −1.31898 | −0.0932659 | ||||||||
\(201\) | −16.9819 | + | 15.3047i | −1.19781 | + | 1.07951i | ||||
\(202\) | 7.77061 | 0.546738 | ||||||||
\(203\) | − | 0.481775i | − | 0.0338140i | ||||||
\(204\) | −5.52253 | + | 4.97710i | −0.386654 | + | 0.348467i | ||||
\(205\) | − | 4.14472i | − | 0.289480i | ||||||
\(206\) | −10.8448 | −0.755592 | ||||||||
\(207\) | 2.12716 | + | 0.221597i | 0.147848 | + | 0.0154021i | ||||
\(208\) | − | 6.64820i | − | 0.460970i | ||||||
\(209\) | 19.5679 | + | 9.43748i | 1.35354 | + | 0.652804i | ||||
\(210\) | 2.32688 | − | 2.09707i | 0.160570 | − | 0.144711i | ||||
\(211\) | − | 5.81643i | − | 0.400420i | −0.979753 | − | 0.200210i | \(-0.935838\pi\) | ||
0.979753 | − | 0.200210i | \(-0.0641624\pi\) | |||||||
\(212\) | − | 15.5992i | − | 1.07136i | ||||||
\(213\) | 3.87927 | + | 4.30438i | 0.265803 | + | 0.294931i | ||||
\(214\) | 35.1059 | 2.39979 | ||||||||
\(215\) | −8.37596 | −0.571235 | ||||||||
\(216\) | 4.03609 | + | 5.53913i | 0.274621 | + | 0.376890i | ||||
\(217\) | 10.7144i | 0.727340i | ||||||||
\(218\) | 22.3715i | 1.51519i | ||||||||
\(219\) | 10.3462 | + | 11.4800i | 0.699133 | + | 0.775749i | ||||
\(220\) | −3.79594 | − | 1.83076i | −0.255922 | − | 0.123430i | ||||
\(221\) | 4.55820i | 0.306617i | ||||||||
\(222\) | −18.0205 | + | 16.2408i | −1.20946 | + | 1.09001i | ||||
\(223\) | −6.54973 | −0.438603 | −0.219301 | − | 0.975657i | \(-0.570378\pi\) | ||||
−0.219301 | + | 0.975657i | \(0.570378\pi\) | |||||||
\(224\) | − | 6.27205i | − | 0.419069i | ||||||
\(225\) | −0.310844 | + | 2.98385i | −0.0207229 | + | 0.198924i | ||||
\(226\) | 17.0361i | 1.13323i | ||||||||
\(227\) | 5.43050 | 0.360435 | 0.180217 | − | 0.983627i | \(-0.442320\pi\) | ||||
0.180217 | + | 0.983627i | \(0.442320\pi\) | |||||||
\(228\) | 9.65136 | + | 10.7090i | 0.639177 | + | 0.709222i | ||||
\(229\) | −20.0789 | −1.32685 | −0.663424 | − | 0.748243i | \(-0.730898\pi\) | ||||
−0.663424 | + | 0.748243i | \(0.730898\pi\) | |||||||
\(230\) | 1.28926 | 0.0850114 | ||||||||
\(231\) | −5.51427 | + | 1.61024i | −0.362812 | + | 0.105946i | ||||
\(232\) | 0.635451 | 0.0417194 | ||||||||
\(233\) | −27.7256 | −1.81636 | −0.908181 | − | 0.418578i | \(-0.862529\pi\) | ||||
−0.908181 | + | 0.418578i | \(0.862529\pi\) | |||||||
\(234\) | −7.28185 | − | 0.758588i | −0.476029 | − | 0.0495905i | ||||
\(235\) | −8.28479 | −0.540440 | ||||||||
\(236\) | 1.36765i | 0.0890264i | ||||||||
\(237\) | 20.4249 | + | 22.6632i | 1.32674 | + | 1.47213i | ||||
\(238\) | 6.10895i | 0.395985i | ||||||||
\(239\) | −8.21641 | −0.531475 | −0.265738 | − | 0.964045i | \(-0.585616\pi\) | ||||
−0.265738 | + | 0.964045i | \(0.585616\pi\) | |||||||
\(240\) | 5.71284 | + | 6.33889i | 0.368762 | + | 0.409174i | ||||
\(241\) | − | 16.7068i | − | 1.07618i | −0.842888 | − | 0.538089i | \(-0.819146\pi\) | ||
0.842888 | − | 0.538089i | \(-0.180854\pi\) | |||||||
\(242\) | 12.3852 | + | 15.5679i | 0.796151 | + | 1.00074i | ||||
\(243\) | 13.4821 | − | 7.82522i | 0.864874 | − | 0.501988i | ||||
\(244\) | − | 11.5940i | − | 0.742229i | ||||||
\(245\) | − | 1.00000i | − | 0.0638877i | ||||||
\(246\) | −9.64425 | + | 8.69175i | −0.614895 | + | 0.554166i | ||||
\(247\) | 8.83903 | 0.562414 | ||||||||
\(248\) | −14.1320 | −0.897386 | ||||||||
\(249\) | −1.19884 | + | 1.08044i | −0.0759734 | + | 0.0684700i | ||||
\(250\) | 1.80850i | 0.114380i | ||||||||
\(251\) | − | 18.8961i | − | 1.19271i | −0.802720 | − | 0.596356i | \(-0.796615\pi\) | ||
0.802720 | − | 0.596356i | \(-0.203385\pi\) | |||||||
\(252\) | −3.79152 | − | 0.394982i | −0.238843 | − | 0.0248816i | ||||
\(253\) | −2.12964 | − | 1.02711i | −0.133889 | − | 0.0645741i | ||||
\(254\) | 28.8092i | 1.80765i | ||||||||
\(255\) | −3.91688 | − | 4.34612i | −0.245285 | − | 0.272165i | ||||
\(256\) | 20.7933 | 1.29958 | ||||||||
\(257\) | − | 13.4096i | − | 0.836467i | −0.908339 | − | 0.418234i | \(-0.862649\pi\) | ||
0.908339 | − | 0.418234i | \(-0.137351\pi\) | |||||||
\(258\) | 17.5649 | + | 19.4898i | 1.09354 | + | 1.21338i | ||||
\(259\) | 7.74452i | 0.481221i | ||||||||
\(260\) | −1.71467 | −0.106339 | ||||||||
\(261\) | 0.149757 | − | 1.43755i | 0.00926970 | − | 0.0889818i | ||||
\(262\) | −16.7398 | −1.03419 | ||||||||
\(263\) | −31.5525 | −1.94561 | −0.972806 | − | 0.231623i | \(-0.925596\pi\) | ||||
−0.972806 | + | 0.231623i | \(0.925596\pi\) | |||||||
\(264\) | −2.12387 | − | 7.27320i | −0.130715 | − | 0.447634i | ||||
\(265\) | 12.2763 | 0.754125 | ||||||||
\(266\) | 11.8462 | 0.726336 | ||||||||
\(267\) | −6.89416 | − | 7.64967i | −0.421916 | − | 0.468152i | ||||
\(268\) | 16.7714 | 1.02448 | ||||||||
\(269\) | 20.2967i | 1.23751i | 0.785584 | + | 0.618755i | \(0.212363\pi\) | ||||
−0.785584 | + | 0.618755i | \(0.787637\pi\) | |||||||
\(270\) | 7.59492 | − | 5.53404i | 0.462212 | − | 0.336791i | ||||
\(271\) | 12.2583i | 0.744640i | 0.928104 | + | 0.372320i | \(0.121438\pi\) | ||||
−0.928104 | + | 0.372320i | \(0.878562\pi\) | |||||||
\(272\) | −16.6420 | −1.00907 | ||||||||
\(273\) | −1.73620 | + | 1.56473i | −0.105080 | + | 0.0947015i | ||||
\(274\) | 8.78122i | 0.530493i | ||||||||
\(275\) | 1.44078 | − | 2.98733i | 0.0868821 | − | 0.180143i | ||||
\(276\) | −1.05039 | − | 1.16550i | −0.0632261 | − | 0.0701549i | ||||
\(277\) | − | 25.8088i | − | 1.55070i | −0.631533 | − | 0.775349i | \(-0.717574\pi\) | ||
0.631533 | − | 0.775349i | \(-0.282426\pi\) | |||||||
\(278\) | − | 15.4475i | − | 0.926481i | ||||||
\(279\) | −3.33050 | + | 31.9701i | −0.199392 | + | 1.91400i | ||||
\(280\) | 1.31898 | 0.0788240 | ||||||||
\(281\) | −5.43734 | −0.324365 | −0.162182 | − | 0.986761i | \(-0.551853\pi\) | ||||
−0.162182 | + | 0.986761i | \(0.551853\pi\) | |||||||
\(282\) | 17.3737 | + | 19.2777i | 1.03459 | + | 1.14797i | ||||
\(283\) | 1.91108i | 0.113602i | 0.998386 | + | 0.0568009i | \(0.0180900\pi\) | ||||
−0.998386 | + | 0.0568009i | \(0.981910\pi\) | |||||||
\(284\) | − | 4.25101i | − | 0.252251i | ||||||
\(285\) | −8.42779 | + | 7.59543i | −0.499219 | + | 0.449915i | ||||
\(286\) | 7.29034 | + | 3.51610i | 0.431087 | + | 0.207911i | ||||
\(287\) | 4.14472i | 0.244655i | ||||||||
\(288\) | 1.94963 | − | 18.7149i | 0.114883 | − | 1.10278i | ||||
\(289\) | −5.58974 | −0.328808 | ||||||||
\(290\) | − | 0.871291i | − | 0.0511640i | ||||||
\(291\) | −16.6472 | + | 15.0031i | −0.975879 | + | 0.879497i | ||||
\(292\) | − | 11.3377i | − | 0.663489i | ||||||
\(293\) | 15.5671 | 0.909441 | 0.454721 | − | 0.890634i | \(-0.349739\pi\) | ||||
0.454721 | + | 0.890634i | \(0.349739\pi\) | |||||||
\(294\) | −2.32688 | + | 2.09707i | −0.135706 | + | 0.122303i | ||||
\(295\) | −1.07631 | −0.0626654 | ||||||||
\(296\) | −10.2148 | −0.593726 | ||||||||
\(297\) | −16.9543 | + | 3.09065i | −0.983788 | + | 0.179338i | ||||
\(298\) | −11.5622 | −0.669782 | ||||||||
\(299\) | −0.961983 | −0.0556329 | ||||||||
\(300\) | 1.63490 | − | 1.47343i | 0.0943908 | − | 0.0850684i | ||||
\(301\) | 8.37596 | 0.482782 | ||||||||
\(302\) | 5.57248i | 0.320660i | ||||||||
\(303\) | 5.52829 | − | 4.98229i | 0.317592 | − | 0.286225i | ||||
\(304\) | 32.2715i | 1.85089i | ||||||||
\(305\) | 9.12424 | 0.522453 | ||||||||
\(306\) | −1.89893 | + | 18.2282i | −0.108555 | + | 1.04204i | ||||
\(307\) | 12.6856i | 0.724005i | 0.932177 | + | 0.362003i | \(0.117907\pi\) | ||||
−0.932177 | + | 0.362003i | \(0.882093\pi\) | |||||||
\(308\) | 3.79594 | + | 1.83076i | 0.216294 | + | 0.104317i | ||||
\(309\) | −7.71536 | + | 6.95336i | −0.438911 | + | 0.395563i | ||||
\(310\) | 19.3770i | 1.10054i | ||||||||
\(311\) | 8.96954i | 0.508616i | 0.967123 | + | 0.254308i | \(0.0818477\pi\) | ||||
−0.967123 | + | 0.254308i | \(0.918152\pi\) | |||||||
\(312\) | −2.06384 | − | 2.29001i | −0.116842 | − | 0.129646i | ||||
\(313\) | −27.8760 | −1.57565 | −0.787823 | − | 0.615901i | \(-0.788792\pi\) | ||||
−0.787823 | + | 0.615901i | \(0.788792\pi\) | |||||||
\(314\) | −35.4091 | −1.99825 | ||||||||
\(315\) | 0.310844 | − | 2.98385i | 0.0175141 | − | 0.168121i | ||||
\(316\) | − | 22.3822i | − | 1.25909i | ||||||
\(317\) | − | 6.74310i | − | 0.378730i | −0.981907 | − | 0.189365i | \(-0.939357\pi\) | ||
0.981907 | − | 0.189365i | \(-0.0606430\pi\) | |||||||
\(318\) | −25.7441 | − | 28.5653i | −1.44366 | − | 1.60186i | ||||
\(319\) | −0.694130 | + | 1.43922i | −0.0388638 | + | 0.0805810i | ||||
\(320\) | − | 1.48955i | − | 0.0832682i | ||||||
\(321\) | 24.9756 | − | 22.5089i | 1.39400 | − | 1.25632i | ||||
\(322\) | −1.28926 | −0.0718477 | ||||||||
\(323\) | − | 22.1262i | − | 1.23114i | ||||||
\(324\) | −11.1906 | − | 2.35714i | −0.621698 | − | 0.130952i | ||||
\(325\) | − | 1.34941i | − | 0.0748520i | ||||||
\(326\) | 32.2000 | 1.78339 | ||||||||
\(327\) | 14.3440 | + | 15.9159i | 0.793222 | + | 0.880149i | ||||
\(328\) | −5.46680 | −0.301853 | ||||||||
\(329\) | 8.28479 | 0.456755 | ||||||||
\(330\) | −9.97256 | + | 2.91213i | −0.548971 | + | 0.160307i | ||||
\(331\) | 14.4244 | 0.792836 | 0.396418 | − | 0.918070i | \(-0.370253\pi\) | ||||
0.396418 | + | 0.918070i | \(0.370253\pi\) | |||||||
\(332\) | 1.18398 | 0.0649791 | ||||||||
\(333\) | −2.40733 | + | 23.1085i | −0.131921 | + | 1.26634i | ||||
\(334\) | 33.3815 | 1.82655 | ||||||||
\(335\) | 13.1988i | 0.721125i | ||||||||
\(336\) | −5.71284 | − | 6.33889i | −0.311661 | − | 0.345815i | ||||
\(337\) | 4.87912i | 0.265782i | 0.991131 | + | 0.132891i | \(0.0424261\pi\) | ||||
−0.991131 | + | 0.132891i | \(0.957574\pi\) | |||||||
\(338\) | −20.2174 | −1.09968 | ||||||||
\(339\) | 10.9231 | + | 12.1201i | 0.593260 | + | 0.658273i | ||||
\(340\) | 4.29224i | 0.232779i | ||||||||
\(341\) | 15.4370 | − | 32.0074i | 0.835962 | − | 1.73330i | ||||
\(342\) | 35.3473 | + | 3.68231i | 1.91136 | + | 0.199117i | ||||
\(343\) | 1.00000i | 0.0539949i | ||||||||
\(344\) | 11.0477i | 0.595652i | ||||||||
\(345\) | 0.917226 | − | 0.826638i | 0.0493818 | − | 0.0445047i | ||||
\(346\) | −29.1039 | −1.56463 | ||||||||
\(347\) | 29.4139 | 1.57902 | 0.789512 | − | 0.613736i | \(-0.210334\pi\) | ||||
0.789512 | + | 0.613736i | \(0.210334\pi\) | |||||||
\(348\) | −0.787652 | + | 0.709861i | −0.0422226 | + | 0.0380525i | ||||
\(349\) | − | 9.49356i | − | 0.508178i | −0.967181 | − | 0.254089i | \(-0.918224\pi\) | ||
0.967181 | − | 0.254089i | \(-0.0817757\pi\) | |||||||
\(350\) | − | 1.80850i | − | 0.0966685i | ||||||
\(351\) | −5.66695 | + | 4.12923i | −0.302479 | + | 0.220402i | ||||
\(352\) | −9.03662 | + | 18.7367i | −0.481654 | + | 0.998670i | ||||
\(353\) | − | 2.78697i | − | 0.148335i | −0.997246 | − | 0.0741677i | \(-0.976370\pi\) | ||
0.997246 | − | 0.0741677i | \(-0.0236300\pi\) | |||||||
\(354\) | 2.25710 | + | 2.50445i | 0.119964 | + | 0.133110i | ||||
\(355\) | 3.34547 | 0.177559 | ||||||||
\(356\) | 7.55482i | 0.400405i | ||||||||
\(357\) | 3.91688 | + | 4.34612i | 0.207304 | + | 0.230021i | ||||
\(358\) | 12.3683i | 0.653684i | ||||||||
\(359\) | −7.84969 | −0.414291 | −0.207145 | − | 0.978310i | \(-0.566417\pi\) | ||||
−0.207145 | + | 0.978310i | \(0.566417\pi\) | |||||||
\(360\) | 3.93564 | + | 0.409996i | 0.207426 | + | 0.0216087i | ||||
\(361\) | −23.9061 | −1.25822 | ||||||||
\(362\) | −22.8585 | −1.20141 | ||||||||
\(363\) | 18.7929 | + | 3.13449i | 0.986374 | + | 0.164518i | ||||
\(364\) | 1.71467 | 0.0898733 | ||||||||
\(365\) | 8.92255 | 0.467028 | ||||||||
\(366\) | −19.1341 | − | 21.2310i | −1.00016 | − | 1.10976i | ||||
\(367\) | −13.2221 | −0.690191 | −0.345095 | − | 0.938568i | \(-0.612153\pi\) | ||||
−0.345095 | + | 0.938568i | \(0.612153\pi\) | |||||||
\(368\) | − | 3.51222i | − | 0.183087i | ||||||
\(369\) | −1.28836 | + | 12.3672i | −0.0670693 | + | 0.643813i | ||||
\(370\) | 14.0060i | 0.728136i | ||||||||
\(371\) | −12.2763 | −0.637352 | ||||||||
\(372\) | 17.5169 | − | 15.7869i | 0.908209 | − | 0.818511i | ||||
\(373\) | − | 12.5690i | − | 0.650796i | −0.945577 | − | 0.325398i | \(-0.894502\pi\) | ||
0.945577 | − | 0.325398i | \(-0.105498\pi\) | |||||||
\(374\) | 8.80163 | − | 18.2495i | 0.455122 | − | 0.943658i | ||||
\(375\) | 1.15956 | + | 1.28663i | 0.0598794 | + | 0.0664414i | ||||
\(376\) | 10.9275i | 0.563541i | ||||||||
\(377\) | 0.650114i | 0.0334826i | ||||||||
\(378\) | −7.59492 | + | 5.53404i | −0.390640 | + | 0.284640i | ||||
\(379\) | −5.11078 | −0.262523 | −0.131262 | − | 0.991348i | \(-0.541903\pi\) | ||||
−0.131262 | + | 0.991348i | \(0.541903\pi\) | |||||||
\(380\) | 8.32330 | 0.426976 | ||||||||
\(381\) | 18.4716 | + | 20.4958i | 0.946329 | + | 1.05003i | ||||
\(382\) | 4.97164i | 0.254371i | ||||||||
\(383\) | 17.7960i | 0.909331i | 0.890662 | + | 0.454666i | \(0.150241\pi\) | ||||
−0.890662 | + | 0.454666i | \(0.849759\pi\) | |||||||
\(384\) | 12.6736 | − | 11.4220i | 0.646749 | − | 0.582874i | ||||
\(385\) | −1.44078 | + | 2.98733i | −0.0734288 | + | 0.152249i | ||||
\(386\) | − | 19.5639i | − | 0.995776i | ||||||
\(387\) | 24.9926 | + | 2.60361i | 1.27045 | + | 0.132349i | ||||
\(388\) | 16.4408 | 0.834657 | ||||||||
\(389\) | − | 20.4353i | − | 1.03611i | −0.855347 | − | 0.518056i | \(-0.826656\pi\) | ||
0.855347 | − | 0.518056i | \(-0.173344\pi\) | |||||||
\(390\) | −3.13992 | + | 2.82981i | −0.158996 | + | 0.143293i | ||||
\(391\) | 2.40807i | 0.121782i | ||||||||
\(392\) | −1.31898 | −0.0666185 | ||||||||
\(393\) | −11.9093 | + | 10.7331i | −0.600744 | + | 0.541412i | ||||
\(394\) | −35.8750 | −1.80735 | ||||||||
\(395\) | 17.6143 | 0.886273 | ||||||||
\(396\) | 10.7575 | + | 6.64268i | 0.540582 | + | 0.333807i | ||||
\(397\) | 12.9022 | 0.647541 | 0.323771 | − | 0.946136i | \(-0.395049\pi\) | ||||
0.323771 | + | 0.946136i | \(0.395049\pi\) | |||||||
\(398\) | 4.83340 | 0.242277 | ||||||||
\(399\) | 8.42779 | − | 7.59543i | 0.421917 | − | 0.380247i | ||||
\(400\) | 4.92673 | 0.246337 | ||||||||
\(401\) | 32.9426i | 1.64507i | 0.568712 | + | 0.822537i | \(0.307442\pi\) | ||||
−0.568712 | + | 0.822537i | \(0.692558\pi\) | |||||||
\(402\) | 30.7119 | − | 27.6787i | 1.53177 | − | 1.38049i | ||||
\(403\) | − | 14.4581i | − | 0.720212i | ||||||
\(404\) | −5.45974 | −0.271632 | ||||||||
\(405\) | 1.85502 | − | 8.80675i | 0.0921768 | − | 0.437611i | ||||
\(406\) | 0.871291i | 0.0432414i | ||||||||
\(407\) | 11.1581 | − | 23.1355i | 0.553087 | − | 1.14678i | ||||
\(408\) | −5.73244 | + | 5.16629i | −0.283798 | + | 0.255769i | ||||
\(409\) | − | 15.0977i | − | 0.746535i | −0.927724 | − | 0.373268i | \(-0.878237\pi\) | ||
0.927724 | − | 0.373268i | \(-0.121763\pi\) | |||||||
\(410\) | 7.49574i | 0.370188i | ||||||||
\(411\) | 5.63026 | + | 6.24727i | 0.277720 | + | 0.308155i | ||||
\(412\) | 7.61970 | 0.375396 | ||||||||
\(413\) | 1.07631 | 0.0529619 | ||||||||
\(414\) | −3.84697 | − | 0.400759i | −0.189068 | − | 0.0196962i | ||||
\(415\) | 0.931766i | 0.0457386i | ||||||||
\(416\) | 8.46359i | 0.414962i | ||||||||
\(417\) | −9.90451 | − | 10.9899i | −0.485026 | − | 0.538179i | ||||
\(418\) | −35.3885 | − | 17.0677i | −1.73091 | − | 0.834809i | ||||
\(419\) | − | 1.01087i | − | 0.0493843i | −0.999695 | − | 0.0246921i | \(-0.992139\pi\) | ||
0.999695 | − | 0.0246921i | \(-0.00786055\pi\) | |||||||
\(420\) | −1.63490 | + | 1.47343i | −0.0797748 | + | 0.0718959i | ||||
\(421\) | −9.68547 | −0.472041 | −0.236020 | − | 0.971748i | \(-0.575843\pi\) | ||||
−0.236020 | + | 0.971748i | \(0.575843\pi\) | |||||||
\(422\) | 10.5190i | 0.512058i | ||||||||
\(423\) | 24.7206 | + | 2.57527i | 1.20196 | + | 0.125214i | ||||
\(424\) | − | 16.1921i | − | 0.786359i | ||||||
\(425\) | −3.37791 | −0.163853 | ||||||||
\(426\) | −7.01566 | − | 7.78448i | −0.339910 | − | 0.377160i | ||||
\(427\) | −9.12424 | −0.441553 | ||||||||
\(428\) | −24.6659 | −1.19227 | ||||||||
\(429\) | 7.44103 | − | 2.17288i | 0.359256 | − | 0.104908i | ||||
\(430\) | 15.1479 | 0.730498 | ||||||||
\(431\) | 10.2582 | 0.494120 | 0.247060 | − | 0.969000i | \(-0.420535\pi\) | ||||
0.247060 | + | 0.969000i | \(0.420535\pi\) | |||||||
\(432\) | −15.0759 | − | 20.6901i | −0.725338 | − | 0.995454i | ||||
\(433\) | −21.8399 | −1.04956 | −0.524779 | − | 0.851238i | \(-0.675852\pi\) | ||||
−0.524779 | + | 0.851238i | \(0.675852\pi\) | |||||||
\(434\) | − | 19.3770i | − | 0.930125i | ||||||
\(435\) | −0.558647 | − | 0.619867i | −0.0267851 | − | 0.0297204i | ||||
\(436\) | − | 15.7185i | − | 0.752781i | ||||||
\(437\) | 4.66962 | 0.223378 | ||||||||
\(438\) | −18.7112 | − | 20.7617i | −0.894055 | − | 0.992031i | ||||
\(439\) | − | 10.3704i | − | 0.494951i | −0.968894 | − | 0.247476i | \(-0.920399\pi\) | ||
0.968894 | − | 0.247476i | \(-0.0796010\pi\) | |||||||
\(440\) | −3.94023 | − | 1.90035i | −0.187843 | − | 0.0905958i | ||||
\(441\) | −0.310844 | + | 2.98385i | −0.0148021 | + | 0.142088i | ||||
\(442\) | − | 8.24351i | − | 0.392104i | ||||||
\(443\) | 3.33075i | 0.158249i | 0.996865 | + | 0.0791244i | \(0.0252124\pi\) | ||||
−0.996865 | + | 0.0791244i | \(0.974788\pi\) | |||||||
\(444\) | 12.6615 | − | 11.4110i | 0.600887 | − | 0.541541i | ||||
\(445\) | −5.94550 | −0.281844 | ||||||||
\(446\) | 11.8452 | 0.560887 | ||||||||
\(447\) | −8.22578 | + | 7.41337i | −0.389066 | + | 0.350640i | ||||
\(448\) | 1.48955i | 0.0703744i | ||||||||
\(449\) | − | 10.3191i | − | 0.486987i | −0.969903 | − | 0.243493i | \(-0.921707\pi\) | ||
0.969903 | − | 0.243493i | \(-0.0782934\pi\) | |||||||
\(450\) | 0.562161 | − | 5.39630i | 0.0265005 | − | 0.254384i | ||||
\(451\) | 5.97162 | − | 12.3817i | 0.281192 | − | 0.583030i | ||||
\(452\) | − | 11.9698i | − | 0.563013i | ||||||
\(453\) | 3.57291 | + | 3.96446i | 0.167870 | + | 0.186266i | ||||
\(454\) | −9.82106 | −0.460925 | ||||||||
\(455\) | 1.34941i | 0.0632615i | ||||||||
\(456\) | 10.0182 | + | 11.1161i | 0.469146 | + | 0.520558i | ||||
\(457\) | 8.34569i | 0.390395i | 0.980764 | + | 0.195197i | \(0.0625347\pi\) | ||||
−0.980764 | + | 0.195197i | \(0.937465\pi\) | |||||||
\(458\) | 36.3127 | 1.69678 | ||||||||
\(459\) | 10.3364 | + | 14.1857i | 0.482464 | + | 0.662133i | ||||
\(460\) | −0.905854 | −0.0422356 | ||||||||
\(461\) | −7.11685 | −0.331465 | −0.165732 | − | 0.986171i | \(-0.552999\pi\) | ||||
−0.165732 | + | 0.986171i | \(0.552999\pi\) | |||||||
\(462\) | 9.97256 | − | 2.91213i | 0.463965 | − | 0.135484i | ||||
\(463\) | −36.5457 | −1.69842 | −0.849211 | − | 0.528054i | \(-0.822922\pi\) | ||||
−0.849211 | + | 0.528054i | \(0.822922\pi\) | |||||||
\(464\) | −2.37358 | −0.110191 | ||||||||
\(465\) | 12.4240 | + | 13.7855i | 0.576148 | + | 0.639286i | ||||
\(466\) | 50.1417 | 2.32277 | ||||||||
\(467\) | − | 11.1574i | − | 0.516303i | −0.966104 | − | 0.258152i | \(-0.916887\pi\) | ||
0.966104 | − | 0.258152i | \(-0.0831134\pi\) | |||||||
\(468\) | 5.11633 | + | 0.532995i | 0.236502 | + | 0.0246377i | ||||
\(469\) | − | 13.1988i | − | 0.609462i | ||||||
\(470\) | 14.9831 | 0.691117 | ||||||||
\(471\) | −25.1913 | + | 22.7033i | −1.16075 | + | 1.04611i | ||||
\(472\) | 1.41963i | 0.0653440i | ||||||||
\(473\) | −25.0218 | − | 12.0679i | −1.15050 | − | 0.554882i | ||||
\(474\) | −36.9384 | − | 40.9864i | −1.69664 | − | 1.88257i | ||||
\(475\) | 6.55028i | 0.300547i | ||||||||
\(476\) | − | 4.29224i | − | 0.196734i | ||||||
\(477\) | −36.6305 | − | 3.81600i | −1.67720 | − | 0.174722i | ||||
\(478\) | 14.8594 | 0.679653 | ||||||||
\(479\) | −9.15741 | −0.418413 | −0.209206 | − | 0.977871i | \(-0.567088\pi\) | ||||
−0.209206 | + | 0.977871i | \(0.567088\pi\) | |||||||
\(480\) | −7.27281 | − | 8.06982i | −0.331957 | − | 0.368335i | ||||
\(481\) | − | 10.4506i | − | 0.476505i | ||||||
\(482\) | 30.2142i | 1.37622i | ||||||||
\(483\) | −0.917226 | + | 0.826638i | −0.0417352 | + | 0.0376133i | ||||
\(484\) | −8.70202 | − | 10.9382i | −0.395547 | − | 0.497191i | ||||
\(485\) | 12.9386i | 0.587513i | ||||||||
\(486\) | −24.3823 | + | 14.1519i | −1.10600 | + | 0.641944i | ||||
\(487\) | 25.3711 | 1.14967 | 0.574837 | − | 0.818268i | \(-0.305066\pi\) | ||||
0.574837 | + | 0.818268i | \(0.305066\pi\) | |||||||
\(488\) | − | 12.0347i | − | 0.544784i | ||||||
\(489\) | 22.9082 | − | 20.6457i | 1.03595 | − | 0.933631i | ||||
\(490\) | 1.80850i | 0.0816998i | ||||||||
\(491\) | −14.8041 | −0.668099 | −0.334050 | − | 0.942556i | \(-0.608415\pi\) | ||||
−0.334050 | + | 0.942556i | \(0.608415\pi\) | |||||||
\(492\) | 6.77619 | − | 6.10695i | 0.305494 | − | 0.275322i | ||||
\(493\) | 1.62739 | 0.0732940 | ||||||||
\(494\) | −15.9854 | −0.719218 | ||||||||
\(495\) | −5.22766 | + | 8.46591i | −0.234966 | + | 0.380514i | ||||
\(496\) | 52.7869 | 2.37020 | ||||||||
\(497\) | −3.34547 | −0.150065 | ||||||||
\(498\) | 2.16810 | − | 1.95397i | 0.0971551 | − | 0.0875597i | ||||
\(499\) | 3.20158 | 0.143322 | 0.0716611 | − | 0.997429i | \(-0.477170\pi\) | ||||
0.0716611 | + | 0.997429i | \(0.477170\pi\) | |||||||
\(500\) | − | 1.27068i | − | 0.0568265i | ||||||
\(501\) | 23.7488 | − | 21.4033i | 1.06102 | − | 0.956227i | ||||
\(502\) | 34.1736i | 1.52524i | ||||||||
\(503\) | −9.21332 | −0.410802 | −0.205401 | − | 0.978678i | \(-0.565850\pi\) | ||||
−0.205401 | + | 0.978678i | \(0.565850\pi\) | |||||||
\(504\) | −3.93564 | − | 0.409996i | −0.175307 | − | 0.0182627i | ||||
\(505\) | − | 4.29671i | − | 0.191201i | ||||||
\(506\) | 3.85145 | + | 1.85754i | 0.171218 | + | 0.0825776i | ||||
\(507\) | −14.3834 | + | 12.9628i | −0.638788 | + | 0.575699i | ||||
\(508\) | − | 20.2417i | − | 0.898081i | ||||||
\(509\) | − | 31.5132i | − | 1.39680i | −0.715708 | − | 0.698400i | \(-0.753896\pi\) | ||
0.715708 | − | 0.698400i | \(-0.246104\pi\) | |||||||
\(510\) | 7.08369 | + | 7.85997i | 0.313671 | + | 0.348045i | ||||
\(511\) | −8.92255 | −0.394710 | ||||||||
\(512\) | −17.9042 | −0.791261 | ||||||||
\(513\) | 27.5083 | − | 20.0439i | 1.21452 | − | 0.884961i | ||||
\(514\) | 24.2513i | 1.06968i | ||||||||
\(515\) | 5.99656i | 0.264240i | ||||||||
\(516\) | −12.3414 | − | 13.6938i | −0.543298 | − | 0.602837i | ||||
\(517\) | −24.7494 | − | 11.9365i | −1.08848 | − | 0.524968i | ||||
\(518\) | − | 14.0060i | − | 0.615387i | ||||||
\(519\) | −20.7055 | + | 18.6606i | −0.908872 | + | 0.819108i | ||||
\(520\) | −1.77985 | −0.0780515 | ||||||||
\(521\) | − | 20.3217i | − | 0.890311i | −0.895453 | − | 0.445155i | \(-0.853148\pi\) | ||
0.895453 | − | 0.445155i | \(-0.146852\pi\) | |||||||
\(522\) | −0.270835 | + | 2.59980i | −0.0118541 | + | 0.113790i | ||||
\(523\) | 31.2911i | 1.36827i | 0.729358 | + | 0.684133i | \(0.239819\pi\) | ||||
−0.729358 | + | 0.684133i | \(0.760181\pi\) | |||||||
\(524\) | 11.7616 | 0.513809 | ||||||||
\(525\) | −1.15956 | − | 1.28663i | −0.0506073 | − | 0.0561532i | ||||
\(526\) | 57.0628 | 2.48806 | ||||||||
\(527\) | −36.1922 | −1.57656 | ||||||||
\(528\) | 7.93323 | + | 27.1673i | 0.345250 | + | 1.18231i | ||||
\(529\) | 22.4918 | 0.977904 | ||||||||
\(530\) | −22.2016 | −0.964377 | ||||||||
\(531\) | 3.21156 | + | 0.334565i | 0.139370 | + | 0.0145189i | ||||
\(532\) | −8.32330 | −0.360861 | ||||||||
\(533\) | − | 5.59295i | − | 0.242257i | ||||||
\(534\) | 12.4681 | + | 13.8344i | 0.539548 | + | 0.598675i | ||||
\(535\) | − | 19.4116i | − | 0.839236i | ||||||
\(536\) | 17.4089 | 0.751949 | ||||||||
\(537\) | 7.93019 | + | 8.79923i | 0.342213 | + | 0.379715i | ||||
\(538\) | − | 36.7066i | − | 1.58253i | ||||||
\(539\) | 1.44078 | − | 2.98733i | 0.0620586 | − | 0.128674i | ||||
\(540\) | −5.33629 | + | 3.88829i | −0.229638 | + | 0.167326i | ||||
\(541\) | − | 37.7595i | − | 1.62341i | −0.584069 | − | 0.811704i | \(-0.698540\pi\) | ||
0.584069 | − | 0.811704i | \(-0.301460\pi\) | |||||||
\(542\) | − | 22.1692i | − | 0.952249i | ||||||
\(543\) | −16.2623 | + | 14.6562i | −0.697883 | + | 0.628957i | ||||
\(544\) | 21.1864 | 0.908359 | ||||||||
\(545\) | 12.3702 | 0.529880 | ||||||||
\(546\) | 3.13992 | − | 2.82981i | 0.134376 | − | 0.121105i | ||||
\(547\) | − | 26.2473i | − | 1.12225i | −0.827730 | − | 0.561126i | \(-0.810368\pi\) | ||
0.827730 | − | 0.561126i | \(-0.189632\pi\) | |||||||
\(548\) | − | 6.16981i | − | 0.263561i | ||||||
\(549\) | −27.2254 | − | 2.83621i | −1.16195 | − | 0.121047i | ||||
\(550\) | −2.60565 | + | 5.40260i | −0.111105 | + | 0.230368i | ||||
\(551\) | − | 3.15576i | − | 0.134440i | ||||||
\(552\) | −1.09032 | − | 1.20980i | −0.0464070 | − | 0.0514926i | ||||
\(553\) | −17.6143 | −0.749037 | ||||||||
\(554\) | 46.6752i | 1.98304i | ||||||||
\(555\) | 8.98023 | + | 9.96434i | 0.381189 | + | 0.422963i | ||||
\(556\) | 10.8537i | 0.460297i | ||||||||
\(557\) | −21.8124 | −0.924219 | −0.462109 | − | 0.886823i | \(-0.652907\pi\) | ||||
−0.462109 | + | 0.886823i | \(0.652907\pi\) | |||||||
\(558\) | 6.02321 | − | 57.8181i | 0.254983 | − | 2.44763i | ||||
\(559\) | −11.3026 | −0.478051 | ||||||||
\(560\) | −4.92673 | −0.208192 | ||||||||
\(561\) | −5.43925 | − | 18.6267i | −0.229645 | − | 0.786419i | ||||
\(562\) | 9.83344 | 0.414799 | ||||||||
\(563\) | 21.5343 | 0.907563 | 0.453782 | − | 0.891113i | \(-0.350075\pi\) | ||||
0.453782 | + | 0.891113i | \(0.350075\pi\) | |||||||
\(564\) | −12.2070 | − | 13.5448i | −0.514009 | − | 0.570338i | ||||
\(565\) | 9.42002 | 0.396303 | ||||||||
\(566\) | − | 3.45619i | − | 0.145275i | ||||||
\(567\) | −1.85502 | + | 8.80675i | −0.0779036 | + | 0.369849i | ||||
\(568\) | − | 4.41260i | − | 0.185148i | ||||||
\(569\) | 23.3610 | 0.979345 | 0.489673 | − | 0.871906i | \(-0.337116\pi\) | ||||
0.489673 | + | 0.871906i | \(0.337116\pi\) | |||||||
\(570\) | 15.2417 | − | 13.7364i | 0.638404 | − | 0.575353i | ||||
\(571\) | − | 3.62849i | − | 0.151848i | −0.997114 | − | 0.0759238i | \(-0.975809\pi\) | ||
0.997114 | − | 0.0759238i | \(-0.0241906\pi\) | |||||||
\(572\) | −5.12230 | − | 2.47046i | −0.214174 | − | 0.103295i | ||||
\(573\) | 3.18767 | + | 3.53700i | 0.133167 | + | 0.147760i | ||||
\(574\) | − | 7.49574i | − | 0.312866i | ||||||
\(575\) | − | 0.712889i | − | 0.0297295i | ||||||
\(576\) | −0.463016 | + | 4.44459i | −0.0192923 | + | 0.185191i | ||||
\(577\) | −16.6449 | −0.692936 | −0.346468 | − | 0.938062i | \(-0.612619\pi\) | ||||
−0.346468 | + | 0.938062i | \(0.612619\pi\) | |||||||
\(578\) | 10.1091 | 0.420481 | ||||||||
\(579\) | −12.5438 | − | 13.9184i | −0.521303 | − | 0.578431i | ||||
\(580\) | 0.612181i | 0.0254194i | ||||||||
\(581\) | − | 0.931766i | − | 0.0386562i | ||||||
\(582\) | 30.1066 | − | 27.1331i | 1.24796 | − | 1.12470i | ||||
\(583\) | 36.6733 | + | 17.6873i | 1.51885 | + | 0.732535i | ||||
\(584\) | − | 11.7687i | − | 0.486990i | ||||||
\(585\) | −0.419457 | + | 4.02645i | −0.0173424 | + | 0.166473i | ||||
\(586\) | −28.1532 | −1.16300 | ||||||||
\(587\) | 44.5901i | 1.84043i | 0.391411 | + | 0.920216i | \(0.371987\pi\) | ||||
−0.391411 | + | 0.920216i | \(0.628013\pi\) | |||||||
\(588\) | 1.63490 | − | 1.47343i | 0.0674220 | − | 0.0607631i | ||||
\(589\) | 70.1822i | 2.89181i | ||||||||
\(590\) | 1.94651 | 0.0801368 | ||||||||
\(591\) | −25.5227 | + | 23.0020i | −1.04986 | + | 0.946176i | ||||
\(592\) | 38.1552 | 1.56817 | ||||||||
\(593\) | 14.6115 | 0.600023 | 0.300012 | − | 0.953936i | \(-0.403009\pi\) | ||||
0.300012 | + | 0.953936i | \(0.403009\pi\) | |||||||
\(594\) | 30.6619 | − | 5.58945i | 1.25807 | − | 0.229338i | ||||
\(595\) | 3.37791 | 0.138481 | ||||||||
\(596\) | 8.12379 | 0.332763 | ||||||||
\(597\) | 3.43865 | − | 3.09904i | 0.140735 | − | 0.126835i | ||||
\(598\) | 1.73975 | 0.0711436 | ||||||||
\(599\) | 12.6672i | 0.517570i | 0.965935 | + | 0.258785i | \(0.0833221\pi\) | ||||
−0.965935 | + | 0.258785i | \(0.916678\pi\) | |||||||
\(600\) | 1.69704 | − | 1.52943i | 0.0692814 | − | 0.0624389i | ||||
\(601\) | − | 19.5603i | − | 0.797880i | −0.916977 | − | 0.398940i | \(-0.869378\pi\) | ||
0.916977 | − | 0.398940i | \(-0.130622\pi\) | |||||||
\(602\) | −15.1479 | −0.617384 | ||||||||
\(603\) | 4.10275 | − | 39.3831i | 0.167077 | − | 1.60381i | ||||
\(604\) | − | 3.91530i | − | 0.159311i | ||||||
\(605\) | 8.60816 | − | 6.84833i | 0.349972 | − | 0.278424i | ||||
\(606\) | −9.99792 | + | 9.01049i | −0.406138 | + | 0.366026i | ||||
\(607\) | 5.39318i | 0.218903i | 0.993992 | + | 0.109451i | \(0.0349094\pi\) | ||||
−0.993992 | + | 0.109451i | \(0.965091\pi\) | |||||||
\(608\) | − | 41.0836i | − | 1.66616i | ||||||
\(609\) | 0.558647 | + | 0.619867i | 0.0226375 | + | 0.0251183i | ||||
\(610\) | −16.5012 | −0.668114 | ||||||||
\(611\) | −11.1796 | −0.452279 | ||||||||
\(612\) | 1.33421 | − | 12.8074i | 0.0539324 | − | 0.517708i | ||||
\(613\) | − | 6.52179i | − | 0.263413i | −0.991289 | − | 0.131706i | \(-0.957954\pi\) | ||
0.991289 | − | 0.131706i | \(-0.0420456\pi\) | |||||||
\(614\) | − | 22.9419i | − | 0.925861i | ||||||
\(615\) | 4.80605 | + | 5.33273i | 0.193799 | + | 0.215036i | ||||
\(616\) | 3.94023 | + | 1.90035i | 0.158756 | + | 0.0765674i | ||||
\(617\) | − | 5.87247i | − | 0.236417i | −0.992989 | − | 0.118208i | \(-0.962285\pi\) | ||
0.992989 | − | 0.118208i | \(-0.0377151\pi\) | |||||||
\(618\) | 13.9532 | − | 12.5752i | 0.561282 | − | 0.505847i | ||||
\(619\) | 35.2371 | 1.41630 | 0.708149 | − | 0.706063i | \(-0.249530\pi\) | ||||
0.708149 | + | 0.706063i | \(0.249530\pi\) | |||||||
\(620\) | − | 13.6145i | − | 0.546773i | ||||||
\(621\) | −2.99382 | + | 2.18145i | −0.120138 | + | 0.0875386i | ||||
\(622\) | − | 16.2214i | − | 0.650420i | ||||||
\(623\) | 5.94550 | 0.238201 | ||||||||
\(624\) | 7.70899 | + | 8.55379i | 0.308606 | + | 0.342426i | ||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | 50.4139 | 2.01494 | ||||||||
\(627\) | −36.1200 | + | 10.5475i | −1.44249 | + | 0.421228i | ||||
\(628\) | 24.8789 | 0.992777 | ||||||||
\(629\) | −26.1603 | −1.04308 | ||||||||
\(630\) | −0.562161 | + | 5.39630i | −0.0223970 | + | 0.214994i | ||||
\(631\) | 20.5179 | 0.816803 | 0.408402 | − | 0.912802i | \(-0.366086\pi\) | ||||
0.408402 | + | 0.912802i | \(0.366086\pi\) | |||||||
\(632\) | − | 23.2329i | − | 0.924156i | ||||||
\(633\) | 6.74450 | + | 7.48360i | 0.268070 | + | 0.297447i | ||||
\(634\) | 12.1949i | 0.484322i | ||||||||
\(635\) | 15.9298 | 0.632157 | ||||||||
\(636\) | 18.0882 | + | 20.0704i | 0.717243 | + | 0.795843i | ||||
\(637\) | − | 1.34941i | − | 0.0534657i | ||||||
\(638\) | 1.25534 | − | 2.60284i | 0.0496992 | − | 0.103047i | ||||
\(639\) | −9.98238 | − | 1.03992i | −0.394897 | − | 0.0411385i | ||||
\(640\) | − | 9.85025i | − | 0.389365i | ||||||
\(641\) | 28.0444i | 1.10769i | 0.832620 | + | 0.553844i | \(0.186840\pi\) | ||||
−0.832620 | + | 0.553844i | \(0.813160\pi\) | |||||||
\(642\) | −45.1684 | + | 40.7074i | −1.78265 | + | 1.60659i | ||||
\(643\) | 1.85589 | 0.0731890 | 0.0365945 | − | 0.999330i | \(-0.488349\pi\) | ||||
0.0365945 | + | 0.999330i | \(0.488349\pi\) | |||||||
\(644\) | 0.905854 | 0.0356956 | ||||||||
\(645\) | 10.7768 | − | 9.71242i | 0.424335 | − | 0.382426i | ||||
\(646\) | 40.0153i | 1.57438i | ||||||||
\(647\) | − | 24.4143i | − | 0.959826i | −0.877316 | − | 0.479913i | \(-0.840668\pi\) | ||
0.877316 | − | 0.479913i | \(-0.159332\pi\) | |||||||
\(648\) | −11.6159 | − | 2.44674i | −0.456316 | − | 0.0961168i | ||||
\(649\) | −3.21531 | − | 1.55073i | −0.126212 | − | 0.0608714i | ||||
\(650\) | 2.44042i | 0.0957211i | ||||||||
\(651\) | −12.4240 | − | 13.7855i | −0.486934 | − | 0.540295i | ||||
\(652\) | −22.6242 | −0.886031 | ||||||||
\(653\) | − | 12.6529i | − | 0.495147i | −0.968869 | − | 0.247574i | \(-0.920367\pi\) | ||
0.968869 | − | 0.247574i | \(-0.0796332\pi\) | |||||||
\(654\) | −25.9411 | − | 28.7839i | −1.01438 | − | 1.12554i | ||||
\(655\) | 9.25617i | 0.361668i | ||||||||
\(656\) | 20.4199 | 0.797264 | ||||||||
\(657\) | −26.6236 | − | 2.77352i | −1.03868 | − | 0.108205i | ||||
\(658\) | −14.9831 | −0.584100 | ||||||||
\(659\) | −35.4674 | −1.38162 | −0.690808 | − | 0.723038i | \(-0.742745\pi\) | ||||
−0.690808 | + | 0.723038i | \(0.742745\pi\) | |||||||
\(660\) | 7.00686 | − | 2.04610i | 0.272742 | − | 0.0796444i | ||||
\(661\) | −18.6166 | −0.724100 | −0.362050 | − | 0.932159i | \(-0.617923\pi\) | ||||
−0.362050 | + | 0.932159i | \(0.617923\pi\) | |||||||
\(662\) | −26.0865 | −1.01388 | ||||||||
\(663\) | −5.28550 | − | 5.86472i | −0.205272 | − | 0.227767i | ||||
\(664\) | 1.22898 | 0.0476936 | ||||||||
\(665\) | − | 6.55028i | − | 0.254009i | ||||||
\(666\) | 4.35367 | − | 41.7918i | 0.168701 | − | 1.61940i | ||||
\(667\) | 0.343452i | 0.0132985i | ||||||||
\(668\) | −23.4543 | −0.907475 | ||||||||
\(669\) | 8.42710 | − | 7.59481i | 0.325810 | − | 0.293632i | ||||
\(670\) | − | 23.8700i | − | 0.922178i | ||||||
\(671\) | 27.2572 | + | 13.1460i | 1.05225 | + | 0.507495i | ||||
\(672\) | 7.27281 | + | 8.06982i | 0.280555 | + | 0.311300i | ||||
\(673\) | 34.4372i | 1.32746i | 0.747974 | + | 0.663728i | \(0.231027\pi\) | ||||
−0.747974 | + | 0.663728i | \(0.768973\pi\) | |||||||
\(674\) | − | 8.82389i | − | 0.339884i | ||||||
\(675\) | −3.06001 | − | 4.19956i | −0.117780 | − | 0.161641i | ||||
\(676\) | 14.2050 | 0.546347 | ||||||||
\(677\) | 20.8411 | 0.800990 | 0.400495 | − | 0.916299i | \(-0.368838\pi\) | ||||
0.400495 | + | 0.916299i | \(0.368838\pi\) | |||||||
\(678\) | −19.7544 | − | 21.9192i | −0.758663 | − | 0.841803i | ||||
\(679\) | − | 12.9386i | − | 0.496539i | ||||||
\(680\) | 4.45539i | 0.170856i | ||||||||
\(681\) | −6.98705 | + | 6.29698i | −0.267744 | + | 0.241301i | ||||
\(682\) | −27.9179 | + | 57.8855i | −1.06903 | + | 2.21655i | ||||
\(683\) | 9.02849i | 0.345466i | 0.984969 | + | 0.172733i | \(0.0552597\pi\) | ||||
−0.984969 | + | 0.172733i | \(0.944740\pi\) | |||||||
\(684\) | −24.8355 | − | 2.58724i | −0.949609 | − | 0.0989257i | ||||
\(685\) | 4.85552 | 0.185520 | ||||||||
\(686\) | − | 1.80850i | − | 0.0690489i | ||||||
\(687\) | 25.8341 | − | 23.2826i | 0.985633 | − | 0.888288i | ||||
\(688\) | − | 41.2661i | − | 1.57326i | ||||||
\(689\) | 16.5658 | 0.631105 | ||||||||
\(690\) | −1.65881 | + | 1.49498i | −0.0631496 | + | 0.0569128i | ||||
\(691\) | −4.63005 | −0.176135 | −0.0880677 | − | 0.996114i | \(-0.528069\pi\) | ||||
−0.0880677 | + | 0.996114i | \(0.528069\pi\) | |||||||
\(692\) | 20.4488 | 0.777347 | ||||||||
\(693\) | 5.22766 | − | 8.46591i | 0.198582 | − | 0.321593i | ||||
\(694\) | −53.1952 | −2.01926 | ||||||||
\(695\) | −8.54162 | −0.324002 | ||||||||
\(696\) | −0.817591 | + | 0.736843i | −0.0309907 | + | 0.0279300i | ||||
\(697\) | −14.0005 | −0.530306 | ||||||||
\(698\) | 17.1691i | 0.649861i | ||||||||
\(699\) | 35.6726 | − | 32.1494i | 1.34926 | − | 1.21600i | ||||
\(700\) | 1.27068i | 0.0480272i | ||||||||
\(701\) | −18.0507 | −0.681766 | −0.340883 | − | 0.940106i | \(-0.610726\pi\) | ||||
−0.340883 | + | 0.940106i | \(0.610726\pi\) | |||||||
\(702\) | 10.2487 | − | 7.46771i | 0.386812 | − | 0.281851i | ||||
\(703\) | 50.7287i | 1.91327i | ||||||||
\(704\) | 2.14610 | − | 4.44977i | 0.0808843 | − | 0.167707i | ||||
\(705\) | 10.6595 | − | 9.60670i | 0.401459 | − | 0.361809i | ||||
\(706\) | 5.04024i | 0.189692i | ||||||||
\(707\) | 4.29671i | 0.161594i | ||||||||
\(708\) | −1.58587 | − | 1.75966i | −0.0596007 | − | 0.0661321i | ||||
\(709\) | −20.4768 | −0.769023 | −0.384512 | − | 0.923120i | \(-0.625630\pi\) | ||||
−0.384512 | + | 0.923120i | \(0.625630\pi\) | |||||||
\(710\) | −6.05028 | −0.227063 | ||||||||
\(711\) | −52.5586 | − | 5.47530i | −1.97110 | − | 0.205340i | ||||
\(712\) | 7.84199i | 0.293891i | ||||||||
\(713\) | − | 7.63817i | − | 0.286052i | ||||||
\(714\) | −7.08369 | − | 7.85997i | −0.265101 | − | 0.294152i | ||||
\(715\) | 1.94420 | − | 4.03115i | 0.0727091 | − | 0.150756i | ||||
\(716\) | − | 8.69013i | − | 0.324765i | ||||||
\(717\) | 10.5715 | − | 9.52742i | 0.394800 | − | 0.355808i | ||||
\(718\) | 14.1962 | 0.529796 | ||||||||
\(719\) | 0.347625i | 0.0129642i | 0.999979 | + | 0.00648211i | \(0.00206334\pi\) | ||||
−0.999979 | + | 0.00648211i | \(0.997937\pi\) | |||||||
\(720\) | −14.7006 | − | 1.53144i | −0.547861 | − | 0.0570735i | ||||
\(721\) | − | 5.99656i | − | 0.223323i | ||||||
\(722\) | 43.2342 | 1.60901 | ||||||||
\(723\) | 19.3725 | + | 21.4955i | 0.720471 | + | 0.799426i | ||||
\(724\) | 16.0607 | 0.596890 | ||||||||
\(725\) | −0.481775 | −0.0178927 | ||||||||
\(726\) | −33.9871 | − | 5.66874i | −1.26138 | − | 0.210387i | ||||
\(727\) | −21.6203 | −0.801852 | −0.400926 | − | 0.916110i | \(-0.631312\pi\) | ||||
−0.400926 | + | 0.916110i | \(0.631312\pi\) | |||||||
\(728\) | 1.77985 | 0.0659656 | ||||||||
\(729\) | −8.27264 | + | 25.7014i | −0.306394 | + | 0.951905i | ||||
\(730\) | −16.1365 | −0.597237 | ||||||||
\(731\) | 28.2932i | 1.04646i | ||||||||
\(732\) | 13.4439 | + | 14.9172i | 0.496901 | + | 0.551355i | ||||
\(733\) | 11.3107i | 0.417771i | 0.977940 | + | 0.208886i | \(0.0669836\pi\) | ||||
−0.977940 | + | 0.208886i | \(0.933016\pi\) | |||||||
\(734\) | 23.9123 | 0.882618 | ||||||||
\(735\) | 1.15956 | + | 1.28663i | 0.0427710 | + | 0.0474581i | ||||
\(736\) | 4.47128i | 0.164813i | ||||||||
\(737\) | −19.0165 | + | 39.4291i | −0.700480 | + | 1.45239i | ||||
\(738\) | 2.33000 | − | 22.3662i | 0.0857685 | − | 0.823310i | ||||
\(739\) | − | 24.7765i | − | 0.911418i | −0.890129 | − | 0.455709i | \(-0.849386\pi\) | ||
0.890129 | − | 0.455709i | \(-0.150614\pi\) | |||||||
\(740\) | − | 9.84079i | − | 0.361755i | ||||||
\(741\) | −11.3726 | + | 10.2494i | −0.417782 | + | 0.376521i | ||||
\(742\) | 22.2016 | 0.815048 | ||||||||
\(743\) | −0.875821 | −0.0321308 | −0.0160654 | − | 0.999871i | \(-0.505114\pi\) | ||||
−0.0160654 | + | 0.999871i | \(0.505114\pi\) | |||||||
\(744\) | 18.1827 | − | 16.3869i | 0.666612 | − | 0.600775i | ||||
\(745\) | 6.39327i | 0.234231i | ||||||||
\(746\) | 22.7310i | 0.832240i | ||||||||
\(747\) | 0.289633 | − | 2.78025i | 0.0105971 | − | 0.101724i | ||||
\(748\) | −6.18415 | + | 12.8223i | −0.226115 | + | 0.468831i | ||||
\(749\) | 19.4116i | 0.709284i | ||||||||
\(750\) | −2.09707 | − | 2.32688i | −0.0765740 | − | 0.0849655i | ||||
\(751\) | −10.5229 | −0.383986 | −0.191993 | − | 0.981396i | \(-0.561495\pi\) | ||||
−0.191993 | + | 0.981396i | \(0.561495\pi\) | |||||||
\(752\) | − | 40.8169i | − | 1.48844i | ||||||
\(753\) | 21.9112 | + | 24.3123i | 0.798487 | + | 0.885991i | ||||
\(754\) | − | 1.17573i | − | 0.0428176i | ||||||
\(755\) | 3.08127 | 0.112139 | ||||||||
\(756\) | 5.33629 | − | 3.88829i | 0.194079 | − | 0.141416i | ||||
\(757\) | −6.26326 | −0.227642 | −0.113821 | − | 0.993501i | \(-0.536309\pi\) | ||||
−0.113821 | + | 0.993501i | \(0.536309\pi\) | |||||||
\(758\) | 9.24286 | 0.335716 | ||||||||
\(759\) | 3.93106 | − | 1.14792i | 0.142688 | − | 0.0416670i | ||||
\(760\) | 8.63967 | 0.313394 | ||||||||
\(761\) | −18.5137 | −0.671122 | −0.335561 | − | 0.942018i | \(-0.608926\pi\) | ||||
−0.335561 | + | 0.942018i | \(0.608926\pi\) | |||||||
\(762\) | −33.4059 | − | 37.0668i | −1.21017 | − | 1.34279i | ||||
\(763\) | −12.3702 | −0.447830 | ||||||||
\(764\) | − | 3.49314i | − | 0.126378i | ||||||
\(765\) | 10.0792 | + | 1.05000i | 0.364413 | + | 0.0379629i | ||||
\(766\) | − | 32.1840i | − | 1.16286i | ||||||
\(767\) | −1.45239 | −0.0524429 | ||||||||
\(768\) | −26.7533 | + | 24.1111i | −0.965377 | + | 0.870033i | ||||
\(769\) | − | 3.80905i | − | 0.137358i | −0.997639 | − | 0.0686789i | \(-0.978122\pi\) | ||
0.997639 | − | 0.0686789i | \(-0.0218784\pi\) | |||||||
\(770\) | 2.60565 | − | 5.40260i | 0.0939010 | − | 0.194696i | ||||
\(771\) | 15.5492 | + | 17.2532i | 0.559992 | + | 0.621359i | ||||
\(772\) | 13.7459i | 0.494725i | ||||||||
\(773\) | − | 9.88973i | − | 0.355709i | −0.984057 | − | 0.177854i | \(-0.943084\pi\) | ||
0.984057 | − | 0.177854i | \(-0.0569156\pi\) | |||||||
\(774\) | −45.1992 | − | 4.70864i | −1.62465 | − | 0.169248i | ||||
\(775\) | 10.7144 | 0.384872 | ||||||||
\(776\) | 17.0658 | 0.612625 | ||||||||
\(777\) | −8.98023 | − | 9.96434i | −0.322164 | − | 0.357469i | ||||
\(778\) | 36.9573i | 1.32498i | ||||||||
\(779\) | 27.1491i | 0.972716i | ||||||||
\(780\) | 2.20615 | − | 1.98826i | 0.0789929 | − | 0.0711913i | ||||
\(781\) | 9.99402 | + | 4.82007i | 0.357614 | + | 0.172476i | ||||
\(782\) | − | 4.35501i | − | 0.155735i | ||||||
\(783\) | 1.47424 | + | 2.02324i | 0.0526850 | + | 0.0723048i | ||||
\(784\) | 4.92673 | 0.175955 | ||||||||
\(785\) | 19.5792i | 0.698813i | ||||||||
\(786\) | 21.5380 | − | 19.4108i | 0.768233 | − | 0.692360i | ||||
\(787\) | − | 0.716991i | − | 0.0255580i | −0.999918 | − | 0.0127790i | \(-0.995932\pi\) | ||
0.999918 | − | 0.0127790i | \(-0.00406779\pi\) | |||||||
\(788\) | 25.2063 | 0.897936 | ||||||||
\(789\) | 40.5965 | − | 36.5870i | 1.44527 | − | 1.30253i | ||||
\(790\) | −31.8555 | −1.13337 | ||||||||
\(791\) | −9.42002 | −0.334937 | ||||||||
\(792\) | 11.1663 | + | 6.89517i | 0.396779 | + | 0.245009i | ||||
\(793\) | 12.3124 | 0.437225 | ||||||||
\(794\) | −23.3336 | −0.828078 | ||||||||
\(795\) | −15.7950 | + | 14.2351i | −0.560192 | + | 0.504865i | ||||
\(796\) | −3.39602 | −0.120369 | ||||||||
\(797\) | 21.1338i | 0.748598i | 0.927308 | + | 0.374299i | \(0.122117\pi\) | ||||
−0.927308 | + | 0.374299i | \(0.877883\pi\) | |||||||
\(798\) | −15.2417 | + | 13.7364i | −0.539550 | + | 0.486262i | ||||
\(799\) | 27.9852i | 0.990047i | ||||||||
\(800\) | −6.27205 | −0.221750 | ||||||||
\(801\) | 17.7405 | + | 1.84812i | 0.626830 | + | 0.0653001i | ||||
\(802\) | − | 59.5767i | − | 2.10373i | ||||||
\(803\) | 26.6546 | + | 12.8554i | 0.940622 | + | 0.453657i | ||||
\(804\) | −21.5786 | + | 19.4474i | −0.761018 | + | 0.685857i | ||||
\(805\) | 0.712889i | 0.0251260i | ||||||||
\(806\) | 26.1476i | 0.921009i | ||||||||
\(807\) | −23.5352 | − | 26.1143i | −0.828478 | − | 0.919268i | ||||
\(808\) | −5.66727 | −0.199374 | ||||||||
\(809\) | −34.1717 | −1.20141 | −0.600706 | − | 0.799470i | \(-0.705114\pi\) | ||||
−0.600706 | + | 0.799470i | \(0.705114\pi\) | |||||||
\(810\) | −3.35481 | + | 15.9270i | −0.117876 | + | 0.559619i | ||||
\(811\) | − | 14.1555i | − | 0.497066i | −0.968623 | − | 0.248533i | \(-0.920052\pi\) | ||
0.968623 | − | 0.248533i | \(-0.0799484\pi\) | |||||||
\(812\) | − | 0.612181i | − | 0.0214834i | ||||||
\(813\) | −14.2143 | − | 15.7719i | −0.498516 | − | 0.553146i | ||||
\(814\) | −20.1795 | + | 41.8405i | −0.707290 | + | 1.46651i | ||||
\(815\) | − | 17.8048i | − | 0.623675i | ||||||
\(816\) | 21.4122 | − | 19.2974i | 0.749577 | − | 0.675546i | ||||
\(817\) | 54.8648 | 1.91948 | ||||||||
\(818\) | 27.3043i | 0.954672i | ||||||||
\(819\) | 0.419457 | − | 4.02645i | 0.0146570 | − | 0.140696i | ||||
\(820\) | − | 5.26661i | − | 0.183918i | ||||||
\(821\) | 15.1317 | 0.528102 | 0.264051 | − | 0.964509i | \(-0.414941\pi\) | ||||
0.264051 | + | 0.964509i | \(0.414941\pi\) | |||||||
\(822\) | −10.1823 | − | 11.2982i | −0.355150 | − | 0.394070i | ||||
\(823\) | 4.08410 | 0.142363 | 0.0711815 | − | 0.997463i | \(-0.477323\pi\) | ||||
0.0711815 | + | 0.997463i | \(0.477323\pi\) | |||||||
\(824\) | 7.90933 | 0.275534 | ||||||||
\(825\) | 1.61024 | + | 5.51427i | 0.0560614 | + | 0.191982i | ||||
\(826\) | −1.94651 | −0.0677279 | ||||||||
\(827\) | −17.9866 | −0.625457 | −0.312728 | − | 0.949843i | \(-0.601243\pi\) | ||||
−0.312728 | + | 0.949843i | \(0.601243\pi\) | |||||||
\(828\) | 2.70293 | + | 0.281579i | 0.0939334 | + | 0.00978554i | ||||
\(829\) | 44.2697 | 1.53755 | 0.768776 | − | 0.639518i | \(-0.220866\pi\) | ||||
0.768776 | + | 0.639518i | \(0.220866\pi\) | |||||||
\(830\) | − | 1.68510i | − | 0.0584907i | ||||||
\(831\) | 29.9268 | + | 33.2064i | 1.03815 | + | 1.15192i | ||||
\(832\) | − | 2.01002i | − | 0.0696847i | ||||||
\(833\) | −3.37791 | −0.117038 | ||||||||
\(834\) | 17.9123 | + | 19.8753i | 0.620253 | + | 0.688225i | ||||
\(835\) | − | 18.4581i | − | 0.638769i | ||||||
\(836\) | 24.8645 | + | 11.9920i | 0.859956 | + | 0.414752i | ||||
\(837\) | −32.7862 | − | 44.9957i | −1.13326 | − | 1.55528i | ||||
\(838\) | 1.82816i | 0.0631528i | ||||||||
\(839\) | 50.2576i | 1.73509i | 0.497362 | + | 0.867543i | \(0.334302\pi\) | ||||
−0.497362 | + | 0.867543i | \(0.665698\pi\) | |||||||
\(840\) | −1.69704 | + | 1.52943i | −0.0585534 | + | 0.0527705i | ||||
\(841\) | −28.7679 | −0.991996 | ||||||||
\(842\) | 17.5162 | 0.603648 | ||||||||
\(843\) | 6.99586 | − | 6.30492i | 0.240950 | − | 0.217153i | ||||
\(844\) | − | 7.39081i | − | 0.254402i | ||||||
\(845\) | 11.1791i | 0.384572i | ||||||||
\(846\) | −44.7072 | − | 4.65739i | −1.53707 | − | 0.160124i | ||||
\(847\) | −8.60816 | + | 6.84833i | −0.295780 | + | 0.235311i | ||||
\(848\) | 60.4818i | 2.07696i | ||||||||
\(849\) | −2.21601 | − | 2.45886i | −0.0760533 | − | 0.0843877i | ||||
\(850\) | 6.10895 | 0.209535 | ||||||||
\(851\) | − | 5.52098i | − | 0.189257i | ||||||
\(852\) | 4.92930 | + | 5.46949i | 0.168875 | + | 0.187382i | ||||
\(853\) | 36.9562i | 1.26536i | 0.774415 | + | 0.632678i | \(0.218044\pi\) | ||||
−0.774415 | + | 0.632678i | \(0.781956\pi\) | |||||||
\(854\) | 16.5012 | 0.564660 | ||||||||
\(855\) | 2.03611 | − | 19.5451i | 0.0696335 | − | 0.668427i | ||||
\(856\) | −25.6035 | −0.875108 | ||||||||
\(857\) | 37.9677 | 1.29695 | 0.648476 | − | 0.761235i | \(-0.275407\pi\) | ||||
0.648476 | + | 0.761235i | \(0.275407\pi\) | |||||||
\(858\) | −13.4571 | + | 3.92966i | −0.459418 | + | 0.134157i | ||||
\(859\) | −2.10790 | −0.0719207 | −0.0359604 | − | 0.999353i | \(-0.511449\pi\) | ||||
−0.0359604 | + | 0.999353i | \(0.511449\pi\) | |||||||
\(860\) | −10.6432 | −0.362928 | ||||||||
\(861\) | −4.80605 | − | 5.33273i | −0.163790 | − | 0.181739i | ||||
\(862\) | −18.5520 | −0.631883 | ||||||||
\(863\) | − | 20.1493i | − | 0.685890i | −0.939355 | − | 0.342945i | \(-0.888575\pi\) | ||
0.939355 | − | 0.342945i | \(-0.111425\pi\) | |||||||
\(864\) | 19.1926 | + | 26.3399i | 0.652944 | + | 0.896100i | ||||
\(865\) | 16.0928i | 0.547172i | ||||||||
\(866\) | 39.4975 | 1.34218 | ||||||||
\(867\) | 7.19194 | − | 6.48164i | 0.244251 | − | 0.220128i | ||||
\(868\) | 13.6145i | 0.462108i | ||||||||
\(869\) | 52.6199 | + | 25.3783i | 1.78501 | + | 0.860900i | ||||
\(870\) | 1.01031 | + | 1.12103i | 0.0342528 | + | 0.0380065i | ||||
\(871\) | 17.8106i | 0.603489i | ||||||||
\(872\) | − | 16.3160i | − | 0.552529i | ||||||
\(873\) | 4.02189 | − | 38.6069i | 0.136120 | − | 1.30665i | ||||
\(874\) | −8.44502 | −0.285657 | ||||||||
\(875\) | −1.00000 | −0.0338062 | ||||||||
\(876\) | 13.1467 | + | 14.5874i | 0.444187 | + | 0.492864i | ||||
\(877\) | 3.77883i | 0.127602i | 0.997963 | + | 0.0638011i | \(0.0203223\pi\) | ||||
−0.997963 | + | 0.0638011i | \(0.979678\pi\) | |||||||
\(878\) | 18.7549i | 0.632946i | ||||||||
\(879\) | −20.0292 | + | 18.0510i | −0.675567 | + | 0.608845i | ||||
\(880\) | 14.7178 | + | 7.09832i | 0.496137 | + | 0.239284i | ||||
\(881\) | − | 49.3135i | − | 1.66141i | −0.556711 | − | 0.830707i | \(-0.687937\pi\) | ||
0.556711 | − | 0.830707i | \(-0.312063\pi\) | |||||||
\(882\) | 0.562161 | − | 5.39630i | 0.0189290 | − | 0.181703i | ||||
\(883\) | 27.7348 | 0.933350 | 0.466675 | − | 0.884429i | \(-0.345452\pi\) | ||||
0.466675 | + | 0.884429i | \(0.345452\pi\) | |||||||
\(884\) | 5.79200i | 0.194806i | ||||||||
\(885\) | 1.38482 | − | 1.24805i | 0.0465502 | − | 0.0419527i | ||||
\(886\) | − | 6.02367i | − | 0.202369i | ||||||
\(887\) | −38.1323 | −1.28036 | −0.640179 | − | 0.768225i | \(-0.721140\pi\) | ||||
−0.640179 | + | 0.768225i | \(0.721140\pi\) | |||||||
\(888\) | 13.1428 | − | 11.8447i | 0.441042 | − | 0.397483i | ||||
\(889\) | −15.9298 | −0.534270 | ||||||||
\(890\) | 10.7524 | 0.360423 | ||||||||
\(891\) | 18.2301 | − | 23.6360i | 0.610733 | − | 0.791837i | ||||
\(892\) | −8.32261 | −0.278662 | ||||||||
\(893\) | 54.2676 | 1.81600 | ||||||||
\(894\) | 14.8763 | − | 13.4071i | 0.497539 | − | 0.448400i | ||||
\(895\) | 6.83897 | 0.228601 | ||||||||
\(896\) | 9.85025i | 0.329074i | ||||||||
\(897\) | 1.23772 | − | 1.11548i | 0.0413262 | − | 0.0372447i | ||||
\(898\) | 18.6620i | 0.622760i | ||||||||
\(899\) | −5.16192 | −0.172160 | ||||||||
\(900\) | −0.394982 | + | 3.79152i | −0.0131661 | + | 0.126384i | ||||
\(901\) | − | 41.4681i | − | 1.38150i | ||||||
\(902\) | −10.7997 | + | 22.3923i | −0.359590 | + | 0.745581i | ||||
\(903\) | −10.7768 | + | 9.71242i | −0.358629 | + | 0.323209i | ||||
\(904\) | − | 12.4248i | − | 0.413243i | ||||||
\(905\) | 12.6394i | 0.420149i | ||||||||
\(906\) | −6.46162 | − | 7.16973i | −0.214673 | − | 0.238198i | ||||
\(907\) | −55.7426 | −1.85090 | −0.925451 | − | 0.378868i | \(-0.876313\pi\) | ||||
−0.925451 | + | 0.378868i | \(0.876313\pi\) | |||||||
\(908\) | 6.90042 | 0.228998 | ||||||||
\(909\) | −1.33561 | + | 12.8208i | −0.0442992 | + | 0.425238i | ||||
\(910\) | − | 2.44042i | − | 0.0808991i | ||||||
\(911\) | 2.76244i | 0.0915236i | 0.998952 | + | 0.0457618i | \(0.0145715\pi\) | ||||
−0.998952 | + | 0.0457618i | \(0.985428\pi\) | |||||||
\(912\) | −37.4207 | − | 41.5215i | −1.23912 | − | 1.37491i | ||||
\(913\) | −1.34247 | + | 2.78350i | −0.0444292 | + | 0.0921203i | ||||
\(914\) | − | 15.0932i | − | 0.499238i | ||||||
\(915\) | −11.7395 | + | 10.5801i | −0.388097 | + | 0.349767i | ||||
\(916\) | −25.5138 | −0.842999 | ||||||||
\(917\) | − | 9.25617i | − | 0.305666i | ||||||
\(918\) | −18.6935 | − | 25.6549i | −0.616977 | − | 0.846738i | ||||
\(919\) | 17.3325i | 0.571745i | 0.958268 | + | 0.285873i | \(0.0922835\pi\) | ||||
−0.958268 | + | 0.285873i | \(0.907717\pi\) | |||||||
\(920\) | −0.940286 | −0.0310003 | ||||||||
\(921\) | −14.7097 | − | 16.3217i | −0.484701 | − | 0.537818i | ||||
\(922\) | 12.8708 | 0.423878 | ||||||||
\(923\) | 4.51442 | 0.148594 | ||||||||
\(924\) | −7.00686 | + | 2.04610i | −0.230509 | + | 0.0673118i | ||||
\(925\) | 7.74452 | 0.254638 | ||||||||
\(926\) | 66.0929 | 2.17195 | ||||||||
\(927\) | 1.86399 | − | 17.8928i | 0.0612215 | − | 0.587678i | ||||
\(928\) | 3.02172 | 0.0991927 | ||||||||
\(929\) | − | 22.5188i | − | 0.738817i | −0.929267 | − | 0.369409i | \(-0.879560\pi\) | ||
0.929267 | − | 0.369409i | \(-0.120440\pi\) | |||||||
\(930\) | −22.4688 | − | 24.9311i | −0.736780 | − | 0.817521i | ||||
\(931\) | 6.55028i | 0.214677i | ||||||||
\(932\) | −35.2303 | −1.15401 | ||||||||
\(933\) | −10.4007 | − | 11.5405i | −0.340504 | − | 0.377819i | ||||
\(934\) | 20.1782i | 0.660251i | ||||||||
\(935\) | −10.0909 | − | 4.86681i | −0.330009 | − | 0.159162i | ||||
\(936\) | 5.31080 | + | 0.553254i | 0.173589 | + | 0.0180837i | ||||
\(937\) | 55.0337i | 1.79787i | 0.438079 | + | 0.898936i | \(0.355659\pi\) | ||||
−0.438079 | + | 0.898936i | \(0.644341\pi\) | |||||||
\(938\) | 23.8700i | 0.779382i | ||||||||
\(939\) | 35.8662 | − | 32.3239i | 1.17045 | − | 1.05485i | ||||
\(940\) | −10.5273 | −0.343363 | ||||||||
\(941\) | 33.0738 | 1.07817 | 0.539087 | − | 0.842250i | \(-0.318769\pi\) | ||||
0.539087 | + | 0.842250i | \(0.318769\pi\) | |||||||
\(942\) | 45.5585 | − | 41.0589i | 1.48438 | − | 1.33777i | ||||
\(943\) | − | 2.95473i | − | 0.0962192i | ||||||
\(944\) | − | 5.30271i | − | 0.172588i | ||||||
\(945\) | 3.06001 | + | 4.19956i | 0.0995422 | + | 0.136612i | ||||
\(946\) | 45.2519 | + | 21.8248i | 1.47127 | + | 0.709585i | ||||
\(947\) | 33.1179i | 1.07619i | 0.842885 | + | 0.538094i | \(0.180855\pi\) | ||||
−0.842885 | + | 0.538094i | \(0.819145\pi\) | |||||||
\(948\) | 25.9534 | + | 28.7976i | 0.842929 | + | 0.935302i | ||||
\(949\) | 12.0402 | 0.390842 | ||||||||
\(950\) | − | 11.8462i | − | 0.384341i | ||||||
\(951\) | 7.81902 | + | 8.67589i | 0.253549 | + | 0.281335i | ||||
\(952\) | − | 4.45539i | − | 0.144400i | ||||||
\(953\) | 21.1589 | 0.685404 | 0.342702 | − | 0.939444i | \(-0.388658\pi\) | ||||
0.342702 | + | 0.939444i | \(0.388658\pi\) | |||||||
\(954\) | 66.2464 | + | 6.90124i | 2.14481 | + | 0.223436i | ||||
\(955\) | 2.74904 | 0.0889568 | ||||||||
\(956\) | −10.4404 | −0.337667 | ||||||||
\(957\) | −0.775774 | − | 2.65663i | −0.0250772 | − | 0.0858768i | ||||
\(958\) | 16.5612 | 0.535068 | ||||||||
\(959\) | −4.85552 | −0.156793 | ||||||||
\(960\) | 1.72722 | + | 1.91650i | 0.0557457 | + | 0.0618547i | ||||
\(961\) | 83.7981 | 2.70316 | ||||||||
\(962\) | 18.8999i | 0.609356i | ||||||||
\(963\) | −6.03397 | + | 57.9213i | −0.194442 | + | 1.86649i | ||||
\(964\) | − | 21.2290i | − | 0.683739i | ||||||
\(965\) | −10.8177 | −0.348235 | ||||||||
\(966\) | 1.65881 | − | 1.49498i | 0.0533712 | − | 0.0481001i | ||||
\(967\) | − | 56.9616i | − | 1.83176i | −0.401451 | − | 0.915881i | \(-0.631494\pi\) | ||
0.401451 | − | 0.915881i | \(-0.368506\pi\) | |||||||
\(968\) | −9.03279 | − | 11.3540i | −0.290325 | − | 0.364931i | ||||
\(969\) | 25.6567 | + | 28.4683i | 0.824211 | + | 0.914534i | ||||
\(970\) | − | 23.3995i | − | 0.751313i | ||||||
\(971\) | 55.4385i | 1.77911i | 0.456831 | + | 0.889553i | \(0.348984\pi\) | ||||
−0.456831 | + | 0.889553i | \(0.651016\pi\) | |||||||
\(972\) | 17.1314 | − | 9.94334i | 0.549489 | − | 0.318933i | ||||
\(973\) | 8.54162 | 0.273832 | ||||||||
\(974\) | −45.8836 | −1.47021 | ||||||||
\(975\) | 1.56473 | + | 1.73620i | 0.0501113 | + | 0.0556029i | ||||
\(976\) | 44.9527i | 1.43890i | ||||||||
\(977\) | − | 6.80568i | − | 0.217733i | −0.994056 | − | 0.108867i | \(-0.965278\pi\) | ||
0.994056 | − | 0.108867i | \(-0.0347221\pi\) | |||||||
\(978\) | −41.4295 | + | 37.3378i | −1.32477 | + | 1.19393i | ||||
\(979\) | −17.7612 | − | 8.56614i | −0.567650 | − | 0.273775i | ||||
\(980\) | − | 1.27068i | − | 0.0405904i | ||||||
\(981\) | −36.9108 | − | 3.84519i | −1.17847 | − | 0.122767i | ||||
\(982\) | 26.7732 | 0.854368 | ||||||||
\(983\) | 2.20627i | 0.0703691i | 0.999381 | + | 0.0351845i | \(0.0112019\pi\) | ||||
−0.999381 | + | 0.0351845i | \(0.988798\pi\) | |||||||
\(984\) | 7.03376 | − | 6.33908i | 0.224228 | − | 0.202082i | ||||
\(985\) | 19.8368i | 0.632054i | ||||||||
\(986\) | −2.94314 | −0.0937287 | ||||||||
\(987\) | −10.6595 | + | 9.60670i | −0.339295 | + | 0.305785i | ||||
\(988\) | 11.2316 | 0.357324 | ||||||||
\(989\) | −5.97113 | −0.189871 | ||||||||
\(990\) | 9.45423 | − | 15.3106i | 0.300475 | − | 0.486603i | ||||
\(991\) | 13.9961 | 0.444600 | 0.222300 | − | 0.974978i | \(-0.428644\pi\) | ||||
0.222300 | + | 0.974978i | \(0.428644\pi\) | |||||||
\(992\) | −67.2012 | −2.13364 | ||||||||
\(993\) | −18.5589 | + | 16.7259i | −0.588948 | + | 0.530782i | ||||
\(994\) | 6.05028 | 0.191903 | ||||||||
\(995\) | − | 2.67260i | − | 0.0847271i | ||||||
\(996\) | −1.52334 | + | 1.37289i | −0.0482689 | + | 0.0435017i | ||||
\(997\) | 12.5561i | 0.397655i | 0.980035 | + | 0.198827i | \(0.0637133\pi\) | ||||
−0.980035 | + | 0.198827i | \(0.936287\pi\) | |||||||
\(998\) | −5.79006 | −0.183281 | ||||||||
\(999\) | −23.6983 | − | 32.5236i | −0.749782 | − | 1.02900i |
(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 | 1155.2.l.e.1121.11 | ✓ | 40 | |
3.2 | odd | 2 | 1155.2.l.f.1121.30 | yes | 40 | ||
11.10 | odd | 2 | 1155.2.l.f.1121.29 | yes | 40 | ||
33.32 | even | 2 | inner | 1155.2.l.e.1121.12 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1155.2.l.e.1121.11 | ✓ | 40 | 1.1 | even | 1 | trivial | |
1155.2.l.e.1121.12 | yes | 40 | 33.32 | even | 2 | inner | |
1155.2.l.f.1121.29 | yes | 40 | 11.10 | odd | 2 | ||
1155.2.l.f.1121.30 | yes | 40 | 3.2 | odd | 2 |