Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [460,2,Mod(91,460)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(460, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("460.91");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 460 = 2^{2} \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 460.e (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.67311849298\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Coefficient field: | 16.0.7465802011608416256.3 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - x^{14} + x^{12} + 8x^{10} - 20x^{8} + 32x^{6} + 16x^{4} - 64x^{2} + 256 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{8} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 91.2 | ||
Root | \(-0.0786378 + 1.41203i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 460.91 |
Dual form | 460.2.e.a.91.3 |
$q$-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 \(\left(\mathbb{Z}/460\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(277\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.35760 | − | 0.396143i | −0.959966 | − | 0.280116i | ||||
\(3\) | 1.47175i | 0.849715i | 0.905260 | + | 0.424858i | \(0.139676\pi\) | ||||
−0.905260 | + | 0.424858i | \(0.860324\pi\) | |||||||
\(4\) | 1.68614 | + | 1.07561i | 0.843070 | + | 0.537803i | ||||
\(5\) | 1.00000i | 0.447214i | ||||||||
\(6\) | 0.583024 | − | 1.99804i | 0.238019 | − | 0.815698i | ||||
\(7\) | 3.53986 | 1.33794 | 0.668970 | − | 0.743289i | \(-0.266735\pi\) | ||||
0.668970 | + | 0.743289i | \(0.266735\pi\) | |||||||
\(8\) | −1.86301 | − | 2.12819i | −0.658672 | − | 0.752430i | ||||
\(9\) | 0.833952 | 0.277984 | ||||||||
\(10\) | 0.396143 | − | 1.35760i | 0.125272 | − | 0.429310i | ||||
\(11\) | −1.16300 | −0.350657 | −0.175328 | − | 0.984510i | \(-0.556099\pi\) | ||||
−0.175328 | + | 0.984510i | \(0.556099\pi\) | |||||||
\(12\) | −1.58302 | + | 2.48158i | −0.456980 | + | 0.716370i | ||||
\(13\) | 5.75893 | 1.59724 | 0.798620 | − | 0.601835i | \(-0.205564\pi\) | ||||
0.798620 | + | 0.601835i | \(0.205564\pi\) | |||||||
\(14\) | −4.80570 | − | 1.40229i | −1.28438 | − | 0.374778i | ||||
\(15\) | −1.47175 | −0.380004 | ||||||||
\(16\) | 1.68614 | + | 3.62725i | 0.421535 | + | 0.906812i | ||||
\(17\) | − | 6.92143i | − | 1.67869i | −0.543597 | − | 0.839346i | \(-0.682938\pi\) | ||
0.543597 | − | 0.839346i | \(-0.317062\pi\) | |||||||
\(18\) | −1.13217 | − | 0.330364i | −0.266855 | − | 0.0778677i | ||||
\(19\) | −3.53986 | −0.812099 | −0.406050 | − | 0.913851i | \(-0.633094\pi\) | ||||
−0.406050 | + | 0.913851i | \(0.633094\pi\) | |||||||
\(20\) | −1.07561 | + | 1.68614i | −0.240513 | + | 0.377033i | ||||
\(21\) | 5.20979i | 1.13687i | ||||||||
\(22\) | 1.57888 | + | 0.460714i | 0.336619 | + | 0.0982245i | ||||
\(23\) | 4.70285 | + | 0.939764i | 0.980613 | + | 0.195954i | ||||
\(24\) | 3.13217 | − | 2.74188i | 0.639352 | − | 0.559684i | ||||
\(25\) | −1.00000 | −0.200000 | ||||||||
\(26\) | −7.81831 | − | 2.28136i | −1.53330 | − | 0.447412i | ||||
\(27\) | 5.64262i | 1.08592i | ||||||||
\(28\) | 5.96870 | + | 3.80749i | 1.12798 | + | 0.719549i | ||||
\(29\) | −5.71519 | −1.06128 | −0.530642 | − | 0.847596i | \(-0.678049\pi\) | ||||
−0.530642 | + | 0.847596i | \(0.678049\pi\) | |||||||
\(30\) | 1.99804 | + | 0.583024i | 0.364791 | + | 0.106445i | ||||
\(31\) | 8.33558i | 1.49711i | 0.663070 | + | 0.748557i | \(0.269253\pi\) | ||||
−0.663070 | + | 0.748557i | \(0.730747\pi\) | |||||||
\(32\) | −0.852189 | − | 5.59230i | −0.150647 | − | 0.988588i | ||||
\(33\) | − | 1.71164i | − | 0.297958i | ||||||
\(34\) | −2.74188 | + | 9.39651i | −0.470228 | + | 1.61149i | ||||
\(35\) | 3.53986i | 0.598345i | ||||||||
\(36\) | 1.40616 | + | 0.897004i | 0.234360 | + | 0.149501i | ||||
\(37\) | − | 2.93580i | − | 0.482642i | −0.970445 | − | 0.241321i | \(-0.922419\pi\) | ||
0.970445 | − | 0.241321i | \(-0.0775807\pi\) | |||||||
\(38\) | 4.80570 | + | 1.40229i | 0.779588 | + | 0.227482i | ||||
\(39\) | 8.47571i | 1.35720i | ||||||||
\(40\) | 2.12819 | − | 1.86301i | 0.336497 | − | 0.294567i | ||||
\(41\) | 6.63662 | 1.03647 | 0.518233 | − | 0.855239i | \(-0.326590\pi\) | ||||
0.518233 | + | 0.855239i | \(0.326590\pi\) | |||||||
\(42\) | 2.06382 | − | 7.07279i | 0.318455 | − | 1.09136i | ||||
\(43\) | −4.32076 | −0.658910 | −0.329455 | − | 0.944171i | \(-0.606865\pi\) | ||||
−0.329455 | + | 0.944171i | \(0.606865\pi\) | |||||||
\(44\) | −1.96098 | − | 1.25093i | −0.295628 | − | 0.188584i | ||||
\(45\) | 0.833952i | 0.124318i | ||||||||
\(46\) | −6.01230 | − | 3.13883i | −0.886466 | − | 0.462795i | ||||
\(47\) | 0.327086i | 0.0477105i | 0.999715 | + | 0.0238552i | \(0.00759408\pi\) | ||||
−0.999715 | + | 0.0238552i | \(0.992406\pi\) | |||||||
\(48\) | −5.33840 | + | 2.48158i | −0.770532 | + | 0.358185i | ||||
\(49\) | 5.53059 | 0.790085 | ||||||||
\(50\) | 1.35760 | + | 0.396143i | 0.191993 | + | 0.0560232i | ||||
\(51\) | 10.1866 | 1.42641 | ||||||||
\(52\) | 9.71037 | + | 6.19435i | 1.34659 | + | 0.859001i | ||||
\(53\) | 7.45202i | 1.02361i | 0.859100 | + | 0.511807i | \(0.171024\pi\) | ||||
−0.859100 | + | 0.511807i | \(0.828976\pi\) | |||||||
\(54\) | 2.23529 | − | 7.66040i | 0.304184 | − | 1.04245i | ||||
\(55\) | − | 1.16300i | − | 0.156818i | ||||||
\(56\) | −6.59477 | − | 7.53351i | −0.881264 | − | 1.00671i | ||||
\(57\) | − | 5.20979i | − | 0.690053i | ||||||
\(58\) | 7.75893 | + | 2.26404i | 1.01880 | + | 0.297283i | ||||
\(59\) | 8.51278i | 1.10827i | 0.832427 | + | 0.554135i | \(0.186951\pi\) | ||||
−0.832427 | + | 0.554135i | \(0.813049\pi\) | |||||||
\(60\) | −2.48158 | − | 1.58302i | −0.320370 | − | 0.204368i | ||||
\(61\) | − | 8.40520i | − | 1.07618i | −0.842889 | − | 0.538088i | \(-0.819147\pi\) | ||
0.842889 | − | 0.538088i | \(-0.180853\pi\) | |||||||
\(62\) | 3.30209 | − | 11.3164i | 0.419365 | − | 1.43718i | ||||
\(63\) | 2.95207 | 0.371926 | ||||||||
\(64\) | −1.05842 | + | 7.92967i | −0.132303 | + | 0.991209i | ||||
\(65\) | 5.75893i | 0.714308i | ||||||||
\(66\) | −0.678055 | + | 2.32372i | −0.0834629 | + | 0.286030i | ||||
\(67\) | 3.74555 | 0.457592 | 0.228796 | − | 0.973474i | \(-0.426521\pi\) | ||||
0.228796 | + | 0.973474i | \(0.426521\pi\) | |||||||
\(68\) | 7.44473 | − | 11.6705i | 0.902807 | − | 1.41526i | ||||
\(69\) | −1.38310 | + | 6.92143i | −0.166505 | + | 0.833242i | ||||
\(70\) | 1.40229 | − | 4.80570i | 0.167606 | − | 0.574391i | ||||
\(71\) | − | 12.6466i | − | 1.50087i | −0.660943 | − | 0.750436i | \(-0.729843\pi\) | ||
0.660943 | − | 0.750436i | \(-0.270157\pi\) | |||||||
\(72\) | −1.55366 | − | 1.77481i | −0.183100 | − | 0.209163i | ||||
\(73\) | 1.85606 | 0.217235 | 0.108618 | − | 0.994084i | \(-0.465358\pi\) | ||||
0.108618 | + | 0.994084i | \(0.465358\pi\) | |||||||
\(74\) | −1.16300 | + | 3.98563i | −0.135196 | + | 0.463320i | ||||
\(75\) | − | 1.47175i | − | 0.169943i | ||||||
\(76\) | −5.96870 | − | 3.80749i | −0.684657 | − | 0.436750i | ||||
\(77\) | −4.11684 | −0.469158 | ||||||||
\(78\) | 3.35760 | − | 11.5066i | 0.380173 | − | 1.30287i | ||||
\(79\) | −15.4773 | −1.74133 | −0.870664 | − | 0.491879i | \(-0.836310\pi\) | ||||
−0.870664 | + | 0.491879i | \(0.836310\pi\) | |||||||
\(80\) | −3.62725 | + | 1.68614i | −0.405539 | + | 0.188516i | ||||
\(81\) | −5.80267 | −0.644741 | ||||||||
\(82\) | −9.00986 | − | 2.62905i | −0.994973 | − | 0.290331i | ||||
\(83\) | −15.1460 | −1.66249 | −0.831246 | − | 0.555904i | \(-0.812372\pi\) | ||||
−0.831246 | + | 0.555904i | \(0.812372\pi\) | |||||||
\(84\) | −5.60368 | + | 8.78443i | −0.611412 | + | 0.958460i | ||||
\(85\) | 6.92143 | 0.750734 | ||||||||
\(86\) | 5.86585 | + | 1.71164i | 0.632531 | + | 0.184571i | ||||
\(87\) | − | 8.41134i | − | 0.901790i | ||||||
\(88\) | 2.16667 | + | 2.47508i | 0.230968 | + | 0.263845i | ||||
\(89\) | 14.9358i | 1.58319i | 0.611045 | + | 0.791596i | \(0.290749\pi\) | ||||
−0.611045 | + | 0.791596i | \(0.709251\pi\) | |||||||
\(90\) | 0.330364 | − | 1.13217i | 0.0348235 | − | 0.119341i | ||||
\(91\) | 20.3858 | 2.13701 | ||||||||
\(92\) | 6.91886 | + | 6.64300i | 0.721341 | + | 0.692580i | ||||
\(93\) | −12.2679 | −1.27212 | ||||||||
\(94\) | 0.129573 | − | 0.444052i | 0.0133645 | − | 0.0458004i | ||||
\(95\) | − | 3.53986i | − | 0.363182i | ||||||
\(96\) | 8.23046 | − | 1.25421i | 0.840018 | − | 0.128007i | ||||
\(97\) | − | 9.46639i | − | 0.961166i | −0.876949 | − | 0.480583i | \(-0.840425\pi\) | ||
0.876949 | − | 0.480583i | \(-0.159575\pi\) | |||||||
\(98\) | −7.50832 | − | 2.19091i | −0.758455 | − | 0.221315i | ||||
\(99\) | −0.969883 | −0.0974769 | ||||||||
\(100\) | −1.68614 | − | 1.07561i | −0.168614 | − | 0.107561i | ||||
\(101\) | −6.39083 | −0.635912 | −0.317956 | − | 0.948106i | \(-0.602996\pi\) | ||||
−0.317956 | + | 0.948106i | \(0.602996\pi\) | |||||||
\(102\) | −13.8293 | − | 4.03536i | −1.36931 | − | 0.399560i | ||||
\(103\) | −1.40698 | −0.138634 | −0.0693168 | − | 0.997595i | \(-0.522082\pi\) | ||||
−0.0693168 | + | 0.997595i | \(0.522082\pi\) | |||||||
\(104\) | −10.7289 | − | 12.2561i | −1.05206 | − | 1.20181i | ||||
\(105\) | −5.20979 | −0.508423 | ||||||||
\(106\) | 2.95207 | − | 10.1168i | 0.286730 | − | 0.982635i | ||||
\(107\) | 4.32076 | 0.417704 | 0.208852 | − | 0.977947i | \(-0.433027\pi\) | ||||
0.208852 | + | 0.977947i | \(0.433027\pi\) | |||||||
\(108\) | −6.06924 | + | 9.51425i | −0.584013 | + | 0.915509i | ||||
\(109\) | 0.131214i | 0.0125680i | 0.999980 | + | 0.00628400i | \(0.00200027\pi\) | ||||
−0.999980 | + | 0.00628400i | \(0.998000\pi\) | |||||||
\(110\) | −0.460714 | + | 1.57888i | −0.0439273 | + | 0.150540i | ||||
\(111\) | 4.32076 | 0.410108 | ||||||||
\(112\) | 5.96870 | + | 12.8399i | 0.563989 | + | 1.21326i | ||||
\(113\) | − | 9.32663i | − | 0.877376i | −0.898640 | − | 0.438688i | \(-0.855443\pi\) | ||
0.898640 | − | 0.438688i | \(-0.144557\pi\) | |||||||
\(114\) | −2.06382 | + | 7.07279i | −0.193295 | + | 0.662428i | ||||
\(115\) | −0.939764 | + | 4.70285i | −0.0876334 | + | 0.438543i | ||||
\(116\) | −9.63662 | − | 6.14730i | −0.894738 | − | 0.570763i | ||||
\(117\) | 4.80267 | 0.444007 | ||||||||
\(118\) | 3.37228 | − | 11.5569i | 0.310444 | − | 1.06390i | ||||
\(119\) | − | 24.5009i | − | 2.24599i | ||||||
\(120\) | 2.74188 | + | 3.13217i | 0.250298 | + | 0.285927i | ||||
\(121\) | −9.64744 | −0.877040 | ||||||||
\(122\) | −3.32967 | + | 11.4109i | −0.301454 | + | 1.03309i | ||||
\(123\) | 9.76745i | 0.880701i | ||||||||
\(124\) | −8.96581 | + | 14.0550i | −0.805153 | + | 1.26217i | ||||
\(125\) | − | 1.00000i | − | 0.0894427i | ||||||
\(126\) | −4.00772 | − | 1.16944i | −0.357036 | − | 0.104182i | ||||
\(127\) | − | 10.1247i | − | 0.898418i | −0.893427 | − | 0.449209i | \(-0.851706\pi\) | ||
0.893427 | − | 0.449209i | \(-0.148294\pi\) | |||||||
\(128\) | 4.57820 | − | 10.3460i | 0.404660 | − | 0.914467i | ||||
\(129\) | − | 6.35908i | − | 0.559886i | ||||||
\(130\) | 2.28136 | − | 7.81831i | 0.200089 | − | 0.685711i | ||||
\(131\) | − | 5.41204i | − | 0.472852i | −0.971650 | − | 0.236426i | \(-0.924024\pi\) | ||
0.971650 | − | 0.236426i | \(-0.0759761\pi\) | |||||||
\(132\) | 1.84105 | − | 2.88607i | 0.160243 | − | 0.251200i | ||||
\(133\) | −12.5306 | −1.08654 | ||||||||
\(134\) | −5.08495 | − | 1.48378i | −0.439273 | − | 0.128179i | ||||
\(135\) | −5.64262 | −0.485639 | ||||||||
\(136\) | −14.7301 | + | 12.8947i | −1.26310 | + | 1.10571i | ||||
\(137\) | 16.6474i | 1.42229i | 0.703047 | + | 0.711143i | \(0.251822\pi\) | ||||
−0.703047 | + | 0.711143i | \(0.748178\pi\) | |||||||
\(138\) | 4.61957 | − | 8.84861i | 0.393244 | − | 0.753243i | ||||
\(139\) | − | 9.34213i | − | 0.792389i | −0.918167 | − | 0.396195i | \(-0.870331\pi\) | ||
0.918167 | − | 0.396195i | \(-0.129669\pi\) | |||||||
\(140\) | −3.80749 | + | 5.96870i | −0.321792 | + | 0.504447i | ||||
\(141\) | −0.481390 | −0.0405403 | ||||||||
\(142\) | −5.00986 | + | 17.1690i | −0.420418 | + | 1.44079i | ||||
\(143\) | −6.69762 | −0.560083 | ||||||||
\(144\) | 1.40616 | + | 3.02495i | 0.117180 | + | 0.252079i | ||||
\(145\) | − | 5.71519i | − | 0.474621i | ||||||
\(146\) | −2.51978 | − | 0.735265i | −0.208538 | − | 0.0608510i | ||||
\(147\) | 8.13965i | 0.671347i | ||||||||
\(148\) | 3.15776 | − | 4.95017i | 0.259567 | − | 0.406901i | ||||
\(149\) | − | 19.0958i | − | 1.56438i | −0.623037 | − | 0.782192i | \(-0.714101\pi\) | ||
0.623037 | − | 0.782192i | \(-0.285899\pi\) | |||||||
\(150\) | −0.583024 | + | 1.99804i | −0.0476037 | + | 0.163140i | ||||
\(151\) | − | 4.20794i | − | 0.342437i | −0.985233 | − | 0.171218i | \(-0.945230\pi\) | ||
0.985233 | − | 0.171218i | \(-0.0547704\pi\) | |||||||
\(152\) | 6.59477 | + | 7.53351i | 0.534907 | + | 0.611048i | ||||
\(153\) | − | 5.77213i | − | 0.466649i | ||||||
\(154\) | 5.58902 | + | 1.63086i | 0.450376 | + | 0.131419i | ||||
\(155\) | −8.33558 | −0.669530 | ||||||||
\(156\) | −9.11653 | + | 14.2912i | −0.729907 | + | 1.14421i | ||||
\(157\) | 2.54496i | 0.203110i | 0.994830 | + | 0.101555i | \(0.0323818\pi\) | ||||
−0.994830 | + | 0.101555i | \(0.967618\pi\) | |||||||
\(158\) | 21.0119 | + | 6.13121i | 1.67162 | + | 0.487773i | ||||
\(159\) | −10.9675 | −0.869780 | ||||||||
\(160\) | 5.59230 | − | 0.852189i | 0.442110 | − | 0.0673715i | ||||
\(161\) | 16.6474 | + | 3.32663i | 1.31200 | + | 0.262175i | ||||
\(162\) | 7.87769 | + | 2.29869i | 0.618930 | + | 0.180602i | ||||
\(163\) | − | 12.0811i | − | 0.946267i | −0.880991 | − | 0.473134i | \(-0.843123\pi\) | ||
0.880991 | − | 0.473134i | \(-0.156877\pi\) | |||||||
\(164\) | 11.1903 | + | 7.13839i | 0.873814 | + | 0.557415i | ||||
\(165\) | 1.71164 | 0.133251 | ||||||||
\(166\) | 20.5622 | + | 6.00000i | 1.59594 | + | 0.465690i | ||||
\(167\) | − | 8.51278i | − | 0.658738i | −0.944201 | − | 0.329369i | \(-0.893164\pi\) | ||
0.944201 | − | 0.329369i | \(-0.106836\pi\) | |||||||
\(168\) | 11.0874 | − | 9.70586i | 0.855414 | − | 0.748823i | ||||
\(169\) | 20.1653 | 1.55118 | ||||||||
\(170\) | −9.39651 | − | 2.74188i | −0.720679 | − | 0.210292i | ||||
\(171\) | −2.95207 | −0.225750 | ||||||||
\(172\) | −7.28541 | − | 4.64744i | −0.555507 | − | 0.354364i | ||||
\(173\) | −6.92143 | −0.526226 | −0.263113 | − | 0.964765i | \(-0.584749\pi\) | ||||
−0.263113 | + | 0.964765i | \(0.584749\pi\) | |||||||
\(174\) | −3.33210 | + | 11.4192i | −0.252606 | + | 0.865688i | ||||
\(175\) | −3.53986 | −0.267588 | ||||||||
\(176\) | −1.96098 | − | 4.21848i | −0.147814 | − | 0.317980i | ||||
\(177\) | −12.5287 | −0.941713 | ||||||||
\(178\) | 5.91672 | − | 20.2768i | 0.443477 | − | 1.51981i | ||||
\(179\) | 5.41204i | 0.404515i | 0.979332 | + | 0.202257i | \(0.0648277\pi\) | ||||
−0.979332 | + | 0.202257i | \(0.935172\pi\) | |||||||
\(180\) | −0.897004 | + | 1.40616i | −0.0668587 | + | 0.104809i | ||||
\(181\) | 16.5508i | 1.23021i | 0.788445 | + | 0.615105i | \(0.210886\pi\) | ||||
−0.788445 | + | 0.615105i | \(0.789114\pi\) | |||||||
\(182\) | −27.6757 | − | 8.07570i | −2.05146 | − | 0.598611i | ||||
\(183\) | 12.3704 | 0.914443 | ||||||||
\(184\) | −6.76144 | − | 11.7594i | −0.498460 | − | 0.866913i | ||||
\(185\) | 2.93580 | 0.215844 | ||||||||
\(186\) | 16.6549 | + | 4.85985i | 1.22119 | + | 0.356341i | ||||
\(187\) | 8.04960i | 0.588645i | ||||||||
\(188\) | −0.351816 | + | 0.551514i | −0.0256588 | + | 0.0402233i | ||||
\(189\) | 19.9741i | 1.45290i | ||||||||
\(190\) | −1.40229 | + | 4.80570i | −0.101733 | + | 0.348642i | ||||
\(191\) | 15.1460 | 1.09593 | 0.547964 | − | 0.836502i | \(-0.315403\pi\) | ||||
0.547964 | + | 0.836502i | \(0.315403\pi\) | |||||||
\(192\) | −11.6705 | − | 1.55773i | −0.842246 | − | 0.112420i | ||||
\(193\) | 25.3739 | 1.82645 | 0.913227 | − | 0.407450i | \(-0.133582\pi\) | ||||
0.913227 | + | 0.407450i | \(0.133582\pi\) | |||||||
\(194\) | −3.75005 | + | 12.8515i | −0.269238 | + | 0.922687i | ||||
\(195\) | −8.47571 | −0.606958 | ||||||||
\(196\) | 9.32536 | + | 5.94874i | 0.666097 | + | 0.424910i | ||||
\(197\) | 1.85797 | 0.132375 | 0.0661874 | − | 0.997807i | \(-0.478916\pi\) | ||||
0.0661874 | + | 0.997807i | \(0.478916\pi\) | |||||||
\(198\) | 1.31671 | + | 0.384213i | 0.0935745 | + | 0.0273048i | ||||
\(199\) | 18.8916 | 1.33919 | 0.669594 | − | 0.742727i | \(-0.266468\pi\) | ||||
0.669594 | + | 0.742727i | \(0.266468\pi\) | |||||||
\(200\) | 1.86301 | + | 2.12819i | 0.131734 | + | 0.150486i | ||||
\(201\) | 5.51252i | 0.388823i | ||||||||
\(202\) | 8.67618 | + | 2.53169i | 0.610454 | + | 0.178129i | ||||
\(203\) | −20.2310 | −1.41994 | ||||||||
\(204\) | 17.1761 | + | 10.9568i | 1.20256 | + | 0.767129i | ||||
\(205\) | 6.63662i | 0.463522i | ||||||||
\(206\) | 1.91011 | + | 0.557365i | 0.133084 | + | 0.0388335i | ||||
\(207\) | 3.92195 | + | 0.783717i | 0.272595 | + | 0.0544721i | ||||
\(208\) | 9.71037 | + | 20.8891i | 0.673293 | + | 1.44840i | ||||
\(209\) | 4.11684 | 0.284768 | ||||||||
\(210\) | 7.07279 | + | 2.06382i | 0.488069 | + | 0.142417i | ||||
\(211\) | 9.98092i | 0.687115i | 0.939132 | + | 0.343557i | \(0.111632\pi\) | ||||
−0.939132 | + | 0.343557i | \(0.888368\pi\) | |||||||
\(212\) | −8.01544 | + | 12.5652i | −0.550503 | + | 0.862978i | ||||
\(213\) | 18.6126 | 1.27531 | ||||||||
\(214\) | −5.86585 | − | 1.71164i | −0.400981 | − | 0.117005i | ||||
\(215\) | − | 4.32076i | − | 0.294673i | ||||||
\(216\) | 12.0086 | − | 10.5122i | 0.817081 | − | 0.715267i | ||||
\(217\) | 29.5068i | 2.00305i | ||||||||
\(218\) | 0.0519795 | − | 0.178135i | 0.00352049 | − | 0.0120649i | ||||
\(219\) | 2.73165i | 0.184588i | ||||||||
\(220\) | 1.25093 | − | 1.96098i | 0.0843375 | − | 0.132209i | ||||
\(221\) | − | 39.8600i | − | 2.68128i | ||||||
\(222\) | −5.86585 | − | 1.71164i | −0.393690 | − | 0.114878i | ||||
\(223\) | − | 12.1431i | − | 0.813161i | −0.913615 | − | 0.406581i | \(-0.866721\pi\) | ||
0.913615 | − | 0.406581i | \(-0.133279\pi\) | |||||||
\(224\) | −3.01663 | − | 19.7959i | −0.201557 | − | 1.32267i | ||||
\(225\) | −0.833952 | −0.0555968 | ||||||||
\(226\) | −3.69468 | + | 12.6618i | −0.245767 | + | 0.842251i | ||||
\(227\) | 27.6203 | 1.83323 | 0.916613 | − | 0.399775i | \(-0.130912\pi\) | ||||
0.916613 | + | 0.399775i | \(0.130912\pi\) | |||||||
\(228\) | 5.60368 | − | 8.78443i | 0.371113 | − | 0.581763i | ||||
\(229\) | − | 2.67337i | − | 0.176661i | −0.996091 | − | 0.0883306i | \(-0.971847\pi\) | ||
0.996091 | − | 0.0883306i | \(-0.0281532\pi\) | |||||||
\(230\) | 3.13883 | − | 6.01230i | 0.206968 | − | 0.396439i | ||||
\(231\) | − | 6.05897i | − | 0.398651i | ||||||
\(232\) | 10.6474 | + | 12.1630i | 0.699039 | + | 0.798543i | ||||
\(233\) | −19.2493 | −1.26107 | −0.630533 | − | 0.776162i | \(-0.717164\pi\) | ||||
−0.630533 | + | 0.776162i | \(0.717164\pi\) | |||||||
\(234\) | −6.52009 | − | 1.90255i | −0.426232 | − | 0.124373i | ||||
\(235\) | −0.327086 | −0.0213368 | ||||||||
\(236\) | −9.15640 | + | 14.3537i | −0.596031 | + | 0.934349i | ||||
\(237\) | − | 22.7787i | − | 1.47963i | ||||||
\(238\) | −9.70586 | + | 33.2623i | −0.629137 | + | 2.15608i | ||||
\(239\) | 12.6352i | 0.817303i | 0.912691 | + | 0.408651i | \(0.134001\pi\) | ||||
−0.912691 | + | 0.408651i | \(0.865999\pi\) | |||||||
\(240\) | −2.48158 | − | 5.33840i | −0.160185 | − | 0.344592i | ||||
\(241\) | − | 5.48076i | − | 0.353047i | −0.984296 | − | 0.176523i | \(-0.943515\pi\) | ||
0.984296 | − | 0.176523i | \(-0.0564851\pi\) | |||||||
\(242\) | 13.0973 | + | 3.82177i | 0.841929 | + | 0.245673i | ||||
\(243\) | 8.38778i | 0.538076i | ||||||||
\(244\) | 9.04069 | − | 14.1724i | 0.578771 | − | 0.907292i | ||||
\(245\) | 5.53059i | 0.353337i | ||||||||
\(246\) | 3.86931 | − | 13.2603i | 0.246698 | − | 0.845443i | ||||
\(247\) | −20.3858 | −1.29712 | ||||||||
\(248\) | 17.7397 | − | 15.5292i | 1.12647 | − | 0.986107i | ||||
\(249\) | − | 22.2912i | − | 1.41265i | ||||||
\(250\) | −0.396143 | + | 1.35760i | −0.0250543 | + | 0.0858620i | ||||
\(251\) | 3.20863 | 0.202527 | 0.101263 | − | 0.994860i | \(-0.467711\pi\) | ||||
0.101263 | + | 0.994860i | \(0.467711\pi\) | |||||||
\(252\) | 4.97760 | + | 3.17527i | 0.313560 | + | 0.200023i | ||||
\(253\) | −5.46941 | − | 1.09294i | −0.343859 | − | 0.0687127i | ||||
\(254\) | −4.01082 | + | 13.7452i | −0.251661 | + | 0.862451i | ||||
\(255\) | 10.1866i | 0.637910i | ||||||||
\(256\) | −10.3139 | + | 12.2321i | −0.644616 | + | 0.764506i | ||||
\(257\) | 1.64018 | 0.102311 | 0.0511557 | − | 0.998691i | \(-0.483710\pi\) | ||||
0.0511557 | + | 0.998691i | \(0.483710\pi\) | |||||||
\(258\) | −2.51911 | + | 8.63307i | −0.156833 | + | 0.537471i | ||||
\(259\) | − | 10.3923i | − | 0.645746i | ||||||
\(260\) | −6.19435 | + | 9.71037i | −0.384157 | + | 0.602212i | ||||
\(261\) | −4.76620 | −0.295020 | ||||||||
\(262\) | −2.14394 | + | 7.34737i | −0.132453 | + | 0.453922i | ||||
\(263\) | −21.9476 | −1.35335 | −0.676674 | − | 0.736283i | \(-0.736579\pi\) | ||||
−0.676674 | + | 0.736283i | \(0.736579\pi\) | |||||||
\(264\) | −3.64270 | + | 3.18880i | −0.224193 | + | 0.196257i | ||||
\(265\) | −7.45202 | −0.457774 | ||||||||
\(266\) | 17.0115 | + | 4.96391i | 1.04304 | + | 0.304357i | ||||
\(267\) | −21.9818 | −1.34526 | ||||||||
\(268\) | 6.31553 | + | 4.02874i | 0.385782 | + | 0.246094i | ||||
\(269\) | −7.55805 | −0.460822 | −0.230411 | − | 0.973093i | \(-0.574007\pi\) | ||||
−0.230411 | + | 0.973093i | \(0.574007\pi\) | |||||||
\(270\) | 7.66040 | + | 2.23529i | 0.466197 | + | 0.136035i | ||||
\(271\) | − | 14.9403i | − | 0.907561i | −0.891114 | − | 0.453780i | \(-0.850075\pi\) | ||
0.891114 | − | 0.453780i | \(-0.149925\pi\) | |||||||
\(272\) | 25.1057 | − | 11.6705i | 1.52226 | − | 0.707628i | ||||
\(273\) | 30.0028i | 1.81585i | ||||||||
\(274\) | 6.59477 | − | 22.6005i | 0.398405 | − | 1.36535i | ||||
\(275\) | 1.16300 | 0.0701314 | ||||||||
\(276\) | −9.77683 | + | 10.1828i | −0.588496 | + | 0.612934i | ||||
\(277\) | 9.82732 | 0.590466 | 0.295233 | − | 0.955425i | \(-0.404603\pi\) | ||||
0.295233 | + | 0.955425i | \(0.404603\pi\) | |||||||
\(278\) | −3.70082 | + | 12.6829i | −0.221961 | + | 0.760667i | ||||
\(279\) | 6.95147i | 0.416174i | ||||||||
\(280\) | 7.53351 | − | 6.59477i | 0.450213 | − | 0.394113i | ||||
\(281\) | − | 5.77494i | − | 0.344504i | −0.985053 | − | 0.172252i | \(-0.944896\pi\) | ||
0.985053 | − | 0.172252i | \(-0.0551044\pi\) | |||||||
\(282\) | 0.653533 | + | 0.190699i | 0.0389173 | + | 0.0113560i | ||||
\(283\) | −8.83050 | −0.524919 | −0.262459 | − | 0.964943i | \(-0.584534\pi\) | ||||
−0.262459 | + | 0.964943i | \(0.584534\pi\) | |||||||
\(284\) | 13.6027 | − | 21.3239i | 0.807174 | − | 1.26534i | ||||
\(285\) | 5.20979 | 0.308601 | ||||||||
\(286\) | 9.09267 | + | 2.65322i | 0.537661 | + | 0.156888i | ||||
\(287\) | 23.4927 | 1.38673 | ||||||||
\(288\) | −0.710684 | − | 4.66370i | −0.0418775 | − | 0.274811i | ||||
\(289\) | −30.9062 | −1.81801 | ||||||||
\(290\) | −2.26404 | + | 7.75893i | −0.132949 | + | 0.455620i | ||||
\(291\) | 13.9322 | 0.816718 | ||||||||
\(292\) | 3.12957 | + | 1.99639i | 0.183144 | + | 0.116830i | ||||
\(293\) | 2.44831i | 0.143032i | 0.997439 | + | 0.0715160i | \(0.0227837\pi\) | ||||
−0.997439 | + | 0.0715160i | \(0.977216\pi\) | |||||||
\(294\) | 3.22447 | − | 11.0504i | 0.188055 | − | 0.644471i | ||||
\(295\) | −8.51278 | −0.495633 | ||||||||
\(296\) | −6.24795 | + | 5.46941i | −0.363155 | + | 0.317903i | ||||
\(297\) | − | 6.56235i | − | 0.380786i | ||||||
\(298\) | −7.56466 | + | 25.9243i | −0.438209 | + | 1.50176i | ||||
\(299\) | 27.0834 | + | 5.41204i | 1.56627 | + | 0.312986i | ||||
\(300\) | 1.58302 | − | 2.48158i | 0.0913959 | − | 0.143274i | ||||
\(301\) | −15.2949 | −0.881582 | ||||||||
\(302\) | −1.66695 | + | 5.71268i | −0.0959220 | + | 0.328728i | ||||
\(303\) | − | 9.40571i | − | 0.540344i | ||||||
\(304\) | −5.96870 | − | 12.8399i | −0.342328 | − | 0.736421i | ||||
\(305\) | 8.40520 | 0.481281 | ||||||||
\(306\) | −2.28659 | + | 7.83623i | −0.130716 | + | 0.447968i | ||||
\(307\) | − | 21.2050i | − | 1.21023i | −0.796137 | − | 0.605116i | \(-0.793127\pi\) | ||
0.796137 | − | 0.605116i | \(-0.206873\pi\) | |||||||
\(308\) | −6.94158 | − | 4.42810i | −0.395533 | − | 0.252315i | ||||
\(309\) | − | 2.07072i | − | 0.117799i | ||||||
\(310\) | 11.3164 | + | 3.30209i | 0.642726 | + | 0.187546i | ||||
\(311\) | − | 9.51159i | − | 0.539353i | −0.962951 | − | 0.269676i | \(-0.913083\pi\) | ||
0.962951 | − | 0.269676i | \(-0.0869167\pi\) | |||||||
\(312\) | 18.0380 | − | 15.7903i | 1.02120 | − | 0.893949i | ||||
\(313\) | − | 16.6474i | − | 0.940969i | −0.882408 | − | 0.470484i | \(-0.844079\pi\) | ||
0.882408 | − | 0.470484i | \(-0.155921\pi\) | |||||||
\(314\) | 1.00817 | − | 3.45504i | 0.0568944 | − | 0.194979i | ||||
\(315\) | 2.95207i | 0.166330i | ||||||||
\(316\) | −26.0968 | − | 16.6474i | −1.46806 | − | 0.936492i | ||||
\(317\) | 2.41375 | 0.135570 | 0.0677849 | − | 0.997700i | \(-0.478407\pi\) | ||||
0.0677849 | + | 0.997700i | \(0.478407\pi\) | |||||||
\(318\) | 14.8895 | + | 4.34471i | 0.834960 | + | 0.243639i | ||||
\(319\) | 6.64675 | 0.372147 | ||||||||
\(320\) | −7.92967 | − | 1.05842i | −0.443282 | − | 0.0591676i | ||||
\(321\) | 6.35908i | 0.354929i | ||||||||
\(322\) | −21.2827 | − | 11.1110i | −1.18604 | − | 0.619192i | ||||
\(323\) | 24.5009i | 1.36326i | ||||||||
\(324\) | −9.78412 | − | 6.24139i | −0.543562 | − | 0.346744i | ||||
\(325\) | −5.75893 | −0.319448 | ||||||||
\(326\) | −4.78586 | + | 16.4013i | −0.265064 | + | 0.908385i | ||||
\(327\) | −0.193114 | −0.0106792 | ||||||||
\(328\) | −12.3641 | − | 14.1240i | −0.682691 | − | 0.779869i | ||||
\(329\) | 1.15784i | 0.0638338i | ||||||||
\(330\) | −2.32372 | − | 0.678055i | −0.127917 | − | 0.0373257i | ||||
\(331\) | − | 7.46743i | − | 0.410447i | −0.978715 | − | 0.205224i | \(-0.934208\pi\) | ||
0.978715 | − | 0.205224i | \(-0.0657922\pi\) | |||||||
\(332\) | −25.5383 | − | 16.2912i | −1.40160 | − | 0.894094i | ||||
\(333\) | − | 2.44831i | − | 0.134167i | ||||||
\(334\) | −3.37228 | + | 11.5569i | −0.184523 | + | 0.632367i | ||||
\(335\) | 3.74555i | 0.204641i | ||||||||
\(336\) | −18.8972 | + | 8.78443i | −1.03093 | + | 0.479230i | ||||
\(337\) | 31.4548i | 1.71345i | 0.515770 | + | 0.856727i | \(0.327506\pi\) | ||||
−0.515770 | + | 0.856727i | \(0.672494\pi\) | |||||||
\(338\) | −27.3764 | − | 7.98835i | −1.48908 | − | 0.434509i | ||||
\(339\) | 13.7265 | 0.745519 | ||||||||
\(340\) | 11.6705 | + | 7.44473i | 0.632922 | + | 0.403747i | ||||
\(341\) | − | 9.69426i | − | 0.524973i | ||||||
\(342\) | 4.00772 | + | 1.16944i | 0.216713 | + | 0.0632362i | ||||
\(343\) | −5.20149 | −0.280854 | ||||||||
\(344\) | 8.04960 | + | 9.19542i | 0.434005 | + | 0.495784i | ||||
\(345\) | −6.92143 | − | 1.38310i | −0.372637 | − | 0.0744635i | ||||
\(346\) | 9.39651 | + | 2.74188i | 0.505160 | + | 0.147404i | ||||
\(347\) | 19.8241i | 1.06421i | 0.846677 | + | 0.532107i | \(0.178599\pi\) | ||||
−0.846677 | + | 0.532107i | \(0.821401\pi\) | |||||||
\(348\) | 9.04729 | − | 14.1827i | 0.484986 | − | 0.760273i | ||||
\(349\) | −28.6634 | −1.53432 | −0.767160 | − | 0.641456i | \(-0.778331\pi\) | ||||
−0.767160 | + | 0.641456i | \(0.778331\pi\) | |||||||
\(350\) | 4.80570 | + | 1.40229i | 0.256876 | + | 0.0749556i | ||||
\(351\) | 32.4955i | 1.73448i | ||||||||
\(352\) | 0.991093 | + | 6.50382i | 0.0528255 | + | 0.346655i | ||||
\(353\) | 12.6439 | 0.672966 | 0.336483 | − | 0.941690i | \(-0.390763\pi\) | ||||
0.336483 | + | 0.941690i | \(0.390763\pi\) | |||||||
\(354\) | 17.0089 | + | 4.96316i | 0.904013 | + | 0.263789i | ||||
\(355\) | 12.6466 | 0.671211 | ||||||||
\(356\) | −16.0650 | + | 25.1839i | −0.851446 | + | 1.33474i | ||||
\(357\) | 36.0592 | 1.90845 | ||||||||
\(358\) | 2.14394 | − | 7.34737i | 0.113311 | − | 0.388320i | ||||
\(359\) | −23.7325 | −1.25256 | −0.626278 | − | 0.779600i | \(-0.715422\pi\) | ||||
−0.626278 | + | 0.779600i | \(0.715422\pi\) | |||||||
\(360\) | 1.77481 | − | 1.55366i | 0.0935407 | − | 0.0818849i | ||||
\(361\) | −6.46941 | −0.340495 | ||||||||
\(362\) | 6.55649 | − | 22.4693i | 0.344601 | − | 1.18096i | ||||
\(363\) | − | 14.1986i | − | 0.745234i | ||||||
\(364\) | 34.3733 | + | 21.9271i | 1.80165 | + | 1.14929i | ||||
\(365\) | 1.85606i | 0.0971505i | ||||||||
\(366\) | −16.7940 | − | 4.90044i | −0.877835 | − | 0.256150i | ||||
\(367\) | −32.7053 | −1.70720 | −0.853601 | − | 0.520927i | \(-0.825586\pi\) | ||||
−0.853601 | + | 0.520927i | \(0.825586\pi\) | |||||||
\(368\) | 4.52092 | + | 18.6430i | 0.235669 | + | 0.971833i | ||||
\(369\) | 5.53462 | 0.288121 | ||||||||
\(370\) | −3.98563 | − | 1.16300i | −0.207203 | − | 0.0604613i | ||||
\(371\) | 26.3791i | 1.36953i | ||||||||
\(372\) | −20.6854 | − | 13.1954i | −1.07249 | − | 0.684151i | ||||
\(373\) | 13.9713i | 0.723404i | 0.932294 | + | 0.361702i | \(0.117804\pi\) | ||||
−0.932294 | + | 0.361702i | \(0.882196\pi\) | |||||||
\(374\) | 3.18880 | − | 10.9281i | 0.164889 | − | 0.565079i | ||||
\(375\) | 1.47175 | 0.0760009 | ||||||||
\(376\) | 0.696104 | − | 0.609364i | 0.0358988 | − | 0.0314255i | ||||
\(377\) | −32.9134 | −1.69513 | ||||||||
\(378\) | 7.91260 | − | 27.1167i | 0.406980 | − | 1.39473i | ||||
\(379\) | 20.7170 | 1.06416 | 0.532081 | − | 0.846693i | \(-0.321410\pi\) | ||||
0.532081 | + | 0.846693i | \(0.321410\pi\) | |||||||
\(380\) | 3.80749 | − | 5.96870i | 0.195320 | − | 0.306188i | ||||
\(381\) | 14.9010 | 0.763399 | ||||||||
\(382\) | −20.5622 | − | 6.00000i | −1.05205 | − | 0.306987i | ||||
\(383\) | −1.99477 | −0.101928 | −0.0509639 | − | 0.998700i | \(-0.516229\pi\) | ||||
−0.0509639 | + | 0.998700i | \(0.516229\pi\) | |||||||
\(384\) | 15.2268 | + | 6.73797i | 0.777037 | + | 0.343845i | ||||
\(385\) | − | 4.11684i | − | 0.209814i | ||||||
\(386\) | −34.4476 | − | 10.0517i | −1.75333 | − | 0.511619i | ||||
\(387\) | −3.60330 | −0.183166 | ||||||||
\(388\) | 10.1821 | − | 15.9617i | 0.516918 | − | 0.810331i | ||||
\(389\) | 16.4309i | 0.833081i | 0.909117 | + | 0.416541i | \(0.136758\pi\) | ||||
−0.909117 | + | 0.416541i | \(0.863242\pi\) | |||||||
\(390\) | 11.5066 | + | 3.35760i | 0.582659 | + | 0.170019i | ||||
\(391\) | 6.50451 | − | 32.5505i | 0.328947 | − | 1.64615i | ||||
\(392\) | −10.3035 | − | 11.7702i | −0.520407 | − | 0.594484i | ||||
\(393\) | 7.96517 | 0.401789 | ||||||||
\(394\) | −2.52238 | − | 0.736023i | −0.127075 | − | 0.0370803i | ||||
\(395\) | − | 15.4773i | − | 0.778745i | ||||||
\(396\) | −1.63536 | − | 1.04321i | −0.0821799 | − | 0.0524234i | ||||
\(397\) | −0.580900 | −0.0291545 | −0.0145773 | − | 0.999894i | \(-0.504640\pi\) | ||||
−0.0145773 | + | 0.999894i | \(0.504640\pi\) | |||||||
\(398\) | −25.6472 | − | 7.48378i | −1.28558 | − | 0.375128i | ||||
\(399\) | − | 18.4419i | − | 0.923250i | ||||||
\(400\) | −1.68614 | − | 3.62725i | −0.0843070 | − | 0.181362i | ||||
\(401\) | 8.44831i | 0.421889i | 0.977498 | + | 0.210944i | \(0.0676539\pi\) | ||||
−0.977498 | + | 0.210944i | \(0.932346\pi\) | |||||||
\(402\) | 2.18375 | − | 7.48378i | 0.108915 | − | 0.373257i | ||||
\(403\) | 48.0041i | 2.39125i | ||||||||
\(404\) | −10.7758 | − | 6.87402i | −0.536118 | − | 0.341995i | ||||
\(405\) | − | 5.80267i | − | 0.288337i | ||||||
\(406\) | 27.4655 | + | 8.01437i | 1.36309 | + | 0.397746i | ||||
\(407\) | 3.41432i | 0.169242i | ||||||||
\(408\) | −18.9777 | − | 21.6791i | −0.939537 | − | 1.07327i | ||||
\(409\) | 2.95154 | 0.145944 | 0.0729722 | − | 0.997334i | \(-0.476752\pi\) | ||||
0.0729722 | + | 0.997334i | \(0.476752\pi\) | |||||||
\(410\) | 2.62905 | − | 9.00986i | 0.129840 | − | 0.444965i | ||||
\(411\) | −24.5009 | −1.20854 | ||||||||
\(412\) | −2.37236 | − | 1.51335i | −0.116878 | − | 0.0745576i | ||||
\(413\) | 30.1340i | 1.48280i | ||||||||
\(414\) | −5.01397 | − | 2.61763i | −0.246423 | − | 0.128649i | ||||
\(415\) | − | 15.1460i | − | 0.743489i | ||||||
\(416\) | −4.90770 | − | 32.2057i | −0.240620 | − | 1.57901i | ||||
\(417\) | 13.7493 | 0.673305 | ||||||||
\(418\) | −5.58902 | − | 1.63086i | −0.273368 | − | 0.0797680i | ||||
\(419\) | −13.6392 | −0.666320 | −0.333160 | − | 0.942870i | \(-0.608115\pi\) | ||||
−0.333160 | + | 0.942870i | \(0.608115\pi\) | |||||||
\(420\) | −8.78443 | − | 5.60368i | −0.428636 | − | 0.273432i | ||||
\(421\) | − | 22.9416i | − | 1.11811i | −0.829132 | − | 0.559053i | \(-0.811165\pi\) | ||
0.829132 | − | 0.559053i | \(-0.188835\pi\) | |||||||
\(422\) | 3.95388 | − | 13.5501i | 0.192472 | − | 0.659607i | ||||
\(423\) | 0.272774i | 0.0132627i | ||||||||
\(424\) | 15.8593 | − | 13.8832i | 0.770198 | − | 0.674226i | ||||
\(425\) | 6.92143i | 0.335739i | ||||||||
\(426\) | −25.2684 | − | 7.37326i | −1.22426 | − | 0.357236i | ||||
\(427\) | − | 29.7532i | − | 1.43986i | ||||||
\(428\) | 7.28541 | + | 4.64744i | 0.352154 | + | 0.224642i | ||||
\(429\) | − | 9.85722i | − | 0.475911i | ||||||
\(430\) | −1.71164 | + | 5.86585i | −0.0825427 | + | 0.282876i | ||||
\(431\) | −21.3048 | −1.02622 | −0.513109 | − | 0.858324i | \(-0.671506\pi\) | ||||
−0.513109 | + | 0.858324i | \(0.671506\pi\) | |||||||
\(432\) | −20.4672 | + | 9.51425i | −0.984728 | + | 0.457755i | ||||
\(433\) | − | 21.3294i | − | 1.02503i | −0.858679 | − | 0.512514i | \(-0.828714\pi\) | ||
0.858679 | − | 0.512514i | \(-0.171286\pi\) | |||||||
\(434\) | 11.6889 | − | 40.0583i | 0.561086 | − | 1.92286i | ||||
\(435\) | 8.41134 | 0.403293 | ||||||||
\(436\) | −0.141134 | + | 0.221245i | −0.00675911 | + | 0.0105957i | ||||
\(437\) | −16.6474 | − | 3.32663i | −0.796355 | − | 0.159134i | ||||
\(438\) | 1.08213 | − | 3.70848i | 0.0517060 | − | 0.177198i | ||||
\(439\) | − | 10.4758i | − | 0.499984i | −0.968248 | − | 0.249992i | \(-0.919572\pi\) | ||
0.968248 | − | 0.249992i | \(-0.0804281\pi\) | |||||||
\(440\) | −2.47508 | + | 2.16667i | −0.117995 | + | 0.103292i | ||||
\(441\) | 4.61225 | 0.219631 | ||||||||
\(442\) | −15.7903 | + | 54.1139i | −0.751068 | + | 2.57393i | ||||
\(443\) | − | 12.6173i | − | 0.599465i | −0.954023 | − | 0.299733i | \(-0.903103\pi\) | ||
0.954023 | − | 0.299733i | \(-0.0968975\pi\) | |||||||
\(444\) | 7.28541 | + | 4.64744i | 0.345750 | + | 0.220558i | ||||
\(445\) | −14.9358 | −0.708025 | ||||||||
\(446\) | −4.81041 | + | 16.4854i | −0.227779 | + | 0.780608i | ||||
\(447\) | 28.1042 | 1.32928 | ||||||||
\(448\) | −3.74666 | + | 28.0699i | −0.177013 | + | 1.32618i | ||||
\(449\) | −13.7434 | −0.648591 | −0.324295 | − | 0.945956i | \(-0.605127\pi\) | ||||
−0.324295 | + | 0.945956i | \(0.605127\pi\) | |||||||
\(450\) | 1.13217 | + | 0.330364i | 0.0533710 | + | 0.0155735i | ||||
\(451\) | −7.71837 | −0.363444 | ||||||||
\(452\) | 10.0318 | − | 15.7260i | 0.471856 | − | 0.739689i | ||||
\(453\) | 6.19303 | 0.290974 | ||||||||
\(454\) | −37.4973 | − | 10.9416i | −1.75984 | − | 0.513516i | ||||
\(455\) | 20.3858i | 0.955701i | ||||||||
\(456\) | −11.0874 | + | 9.70586i | −0.519217 | + | 0.454519i | ||||
\(457\) | 3.81412i | 0.178417i | 0.996013 | + | 0.0892084i | \(0.0284337\pi\) | ||||
−0.996013 | + | 0.0892084i | \(0.971566\pi\) | |||||||
\(458\) | −1.05904 | + | 3.62936i | −0.0494856 | + | 0.169589i | ||||
\(459\) | 39.0550 | 1.82293 | ||||||||
\(460\) | −6.64300 | + | 6.91886i | −0.309731 | + | 0.322593i | ||||
\(461\) | 24.6480 | 1.14797 | 0.573985 | − | 0.818866i | \(-0.305397\pi\) | ||||
0.573985 | + | 0.818866i | \(0.305397\pi\) | |||||||
\(462\) | −2.40022 | + | 8.22564i | −0.111668 | + | 0.382691i | ||||
\(463\) | − | 41.6124i | − | 1.93389i | −0.254983 | − | 0.966945i | \(-0.582070\pi\) | ||
0.254983 | − | 0.966945i | \(-0.417930\pi\) | |||||||
\(464\) | −9.63662 | − | 20.7304i | −0.447369 | − | 0.962386i | ||||
\(465\) | − | 12.2679i | − | 0.568910i | ||||||
\(466\) | 26.1329 | + | 7.62550i | 1.21058 | + | 0.353245i | ||||
\(467\) | 5.16511 | 0.239013 | 0.119506 | − | 0.992833i | \(-0.461869\pi\) | ||||
0.119506 | + | 0.992833i | \(0.461869\pi\) | |||||||
\(468\) | 8.09798 | + | 5.16578i | 0.374329 | + | 0.238788i | ||||
\(469\) | 13.2587 | 0.612231 | ||||||||
\(470\) | 0.444052 | + | 0.129573i | 0.0204826 | + | 0.00597677i | ||||
\(471\) | −3.74555 | −0.172586 | ||||||||
\(472\) | 18.1168 | − | 15.8593i | 0.833895 | − | 0.729986i | ||||
\(473\) | 5.02503 | 0.231051 | ||||||||
\(474\) | −9.02361 | + | 30.9242i | −0.414468 | + | 1.42040i | ||||
\(475\) | 3.53986 | 0.162420 | ||||||||
\(476\) | 26.3533 | − | 41.3119i | 1.20790 | − | 1.89353i | ||||
\(477\) | 6.21462i | 0.284548i | ||||||||
\(478\) | 5.00535 | − | 17.1535i | 0.228939 | − | 0.784583i | ||||
\(479\) | −2.23875 | −0.102291 | −0.0511455 | − | 0.998691i | \(-0.516287\pi\) | ||||
−0.0511455 | + | 0.998691i | \(0.516287\pi\) | |||||||
\(480\) | 1.25421 | + | 8.23046i | 0.0572466 | + | 0.375667i | ||||
\(481\) | − | 16.9071i | − | 0.770895i | ||||||
\(482\) | −2.17117 | + | 7.44067i | −0.0988940 | + | 0.338913i | ||||
\(483\) | −4.89597 | + | 24.5009i | −0.222774 | + | 1.11483i | ||||
\(484\) | −16.2669 | − | 10.3768i | −0.739406 | − | 0.471675i | ||||
\(485\) | 9.46639 | 0.429847 | ||||||||
\(486\) | 3.32276 | − | 11.3872i | 0.150724 | − | 0.516535i | ||||
\(487\) | 30.3341i | 1.37457i | 0.726389 | + | 0.687284i | \(0.241197\pi\) | ||||
−0.726389 | + | 0.687284i | \(0.758803\pi\) | |||||||
\(488\) | −17.8879 | + | 15.6589i | −0.809747 | + | 0.708847i | ||||
\(489\) | 17.7804 | 0.804058 | ||||||||
\(490\) | 2.19091 | − | 7.50832i | 0.0989752 | − | 0.339191i | ||||
\(491\) | 23.2954i | 1.05131i | 0.850698 | + | 0.525654i | \(0.176179\pi\) | ||||
−0.850698 | + | 0.525654i | \(0.823821\pi\) | |||||||
\(492\) | −10.5059 | + | 16.4693i | −0.473644 | + | 0.742493i | ||||
\(493\) | 39.5573i | 1.78157i | ||||||||
\(494\) | 27.6757 | + | 8.07570i | 1.24519 | + | 0.363343i | ||||
\(495\) | − | 0.969883i | − | 0.0435930i | ||||||
\(496\) | −30.2352 | + | 14.0550i | −1.35760 | + | 0.631087i | ||||
\(497\) | − | 44.7671i | − | 2.00808i | ||||||
\(498\) | −8.83050 | + | 30.2624i | −0.395704 | + | 1.35609i | ||||
\(499\) | 22.5990i | 1.01167i | 0.862631 | + | 0.505834i | \(0.168815\pi\) | ||||
−0.862631 | + | 0.505834i | \(0.831185\pi\) | |||||||
\(500\) | 1.07561 | − | 1.68614i | 0.0481026 | − | 0.0754065i | ||||
\(501\) | 12.5287 | 0.559740 | ||||||||
\(502\) | −4.35603 | − | 1.27108i | −0.194419 | − | 0.0567310i | ||||
\(503\) | −2.63342 | −0.117418 | −0.0587092 | − | 0.998275i | \(-0.518698\pi\) | ||||
−0.0587092 | + | 0.998275i | \(0.518698\pi\) | |||||||
\(504\) | −5.49972 | − | 6.28258i | −0.244977 | − | 0.279848i | ||||
\(505\) | − | 6.39083i | − | 0.284388i | ||||||
\(506\) | 6.99229 | + | 3.65045i | 0.310845 | + | 0.162282i | ||||
\(507\) | 29.6783i | 1.31806i | ||||||||
\(508\) | 10.8901 | − | 17.0716i | 0.483172 | − | 0.757429i | ||||
\(509\) | 34.6596 | 1.53626 | 0.768130 | − | 0.640293i | \(-0.221187\pi\) | ||||
0.768130 | + | 0.640293i | \(0.221187\pi\) | |||||||
\(510\) | 4.03536 | − | 13.8293i | 0.178689 | − | 0.612372i | ||||
\(511\) | 6.57018 | 0.290648 | ||||||||
\(512\) | 18.8477 | − | 12.5205i | 0.832960 | − | 0.553333i | ||||
\(513\) | − | 19.9741i | − | 0.881877i | ||||||
\(514\) | −2.22670 | − | 0.649745i | −0.0982154 | − | 0.0286590i | ||||
\(515\) | − | 1.40698i | − | 0.0619989i | ||||||
\(516\) | 6.83987 | − | 10.7223i | 0.301108 | − | 0.472023i | ||||
\(517\) | − | 0.380401i | − | 0.0167300i | ||||||
\(518\) | −4.11684 | + | 14.1086i | −0.180884 | + | 0.619895i | ||||
\(519\) | − | 10.1866i | − | 0.447143i | ||||||
\(520\) | 12.2561 | − | 10.7289i | 0.537467 | − | 0.470494i | ||||
\(521\) | 5.00371i | 0.219216i | 0.993975 | + | 0.109608i | \(0.0349596\pi\) | ||||
−0.993975 | + | 0.109608i | \(0.965040\pi\) | |||||||
\(522\) | 6.47057 | + | 1.88810i | 0.283209 | + | 0.0826398i | ||||
\(523\) | −17.3919 | −0.760493 | −0.380247 | − | 0.924885i | \(-0.624161\pi\) | ||||
−0.380247 | + | 0.924885i | \(0.624161\pi\) | |||||||
\(524\) | 5.82122 | − | 9.12545i | 0.254301 | − | 0.398647i | ||||
\(525\) | − | 5.20979i | − | 0.227374i | ||||||
\(526\) | 29.7960 | + | 8.69440i | 1.29917 | + | 0.379094i | ||||
\(527\) | 57.6941 | 2.51320 | ||||||||
\(528\) | 6.20855 | − | 2.88607i | 0.270192 | − | 0.125600i | ||||
\(529\) | 21.2337 | + | 8.83915i | 0.923204 | + | 0.384311i | ||||
\(530\) | 10.1168 | + | 2.95207i | 0.439448 | + | 0.128230i | ||||
\(531\) | 7.09924i | 0.308081i | ||||||||
\(532\) | −21.1283 | − | 13.4780i | −0.916030 | − | 0.584345i | ||||
\(533\) | 38.2199 | 1.65549 | ||||||||
\(534\) | 29.8424 | + | 8.70793i | 1.29141 | + | 0.376829i | ||||
\(535\) | 4.32076i | 0.186803i | ||||||||
\(536\) | −6.97798 | − | 7.97126i | −0.301403 | − | 0.344306i | ||||
\(537\) | −7.96517 | −0.343722 | ||||||||
\(538\) | 10.2608 | + | 2.99407i | 0.442374 | + | 0.129084i | ||||
\(539\) | −6.43206 | −0.277049 | ||||||||
\(540\) | −9.51425 | − | 6.06924i | −0.409428 | − | 0.261178i | ||||
\(541\) | 6.53779 | 0.281082 | 0.140541 | − | 0.990075i | \(-0.455116\pi\) | ||||
0.140541 | + | 0.990075i | \(0.455116\pi\) | |||||||
\(542\) | −5.91852 | + | 20.2830i | −0.254222 | + | 0.871228i | ||||
\(543\) | −24.3586 | −1.04533 | ||||||||
\(544\) | −38.7067 | + | 5.89837i | −1.65953 | + | 0.252890i | ||||
\(545\) | −0.131214 | −0.00562058 | ||||||||
\(546\) | 11.8854 | − | 40.7317i | 0.508649 | − | 1.74316i | ||||
\(547\) | 34.5946i | 1.47916i | 0.673069 | + | 0.739579i | \(0.264976\pi\) | ||||
−0.673069 | + | 0.739579i | \(0.735024\pi\) | |||||||
\(548\) | −17.9061 | + | 28.0699i | −0.764910 | + | 1.19909i | ||||
\(549\) | − | 7.00953i | − | 0.299160i | ||||||
\(550\) | −1.57888 | − | 0.460714i | −0.0673237 | − | 0.0196449i | ||||
\(551\) | 20.2310 | 0.861869 | ||||||||
\(552\) | 17.3069 | − | 9.95116i | 0.736629 | − | 0.423549i | ||||
\(553\) | −54.7873 | −2.32979 | ||||||||
\(554\) | −13.3415 | − | 3.89303i | −0.566828 | − | 0.165399i | ||||
\(555\) | 4.32076i | 0.183406i | ||||||||
\(556\) | 10.0485 | − | 15.7521i | 0.426150 | − | 0.668040i | ||||
\(557\) | 3.84587i | 0.162955i | 0.996675 | + | 0.0814774i | \(0.0259638\pi\) | ||||
−0.996675 | + | 0.0814774i | \(0.974036\pi\) | |||||||
\(558\) | 2.75378 | − | 9.43730i | 0.116577 | − | 0.399513i | ||||
\(559\) | −24.8830 | −1.05244 | ||||||||
\(560\) | −12.8399 | + | 5.96870i | −0.542587 | + | 0.252224i | ||||
\(561\) | −11.8470 | −0.500181 | ||||||||
\(562\) | −2.28771 | + | 7.84005i | −0.0965011 | + | 0.330712i | ||||
\(563\) | 8.64152 | 0.364197 | 0.182098 | − | 0.983280i | \(-0.441711\pi\) | ||||
0.182098 | + | 0.983280i | \(0.441711\pi\) | |||||||
\(564\) | −0.811691 | − | 0.517786i | −0.0341783 | − | 0.0218027i | ||||
\(565\) | 9.32663 | 0.392374 | ||||||||
\(566\) | 11.9883 | + | 3.49815i | 0.503904 | + | 0.147038i | ||||
\(567\) | −20.5406 | −0.862625 | ||||||||
\(568\) | −26.9144 | + | 23.5606i | −1.12930 | + | 0.988583i | ||||
\(569\) | 5.28746i | 0.221662i | 0.993839 | + | 0.110831i | \(0.0353512\pi\) | ||||
−0.993839 | + | 0.110831i | \(0.964649\pi\) | |||||||
\(570\) | −7.07279 | − | 2.06382i | −0.296247 | − | 0.0864440i | ||||
\(571\) | −23.7200 | −0.992650 | −0.496325 | − | 0.868137i | \(-0.665318\pi\) | ||||
−0.496325 | + | 0.868137i | \(0.665318\pi\) | |||||||
\(572\) | −11.2931 | − | 7.20401i | −0.472190 | − | 0.301215i | ||||
\(573\) | 22.2912i | 0.931227i | ||||||||
\(574\) | −31.8936 | − | 9.30648i | −1.33121 | − | 0.388445i | ||||
\(575\) | −4.70285 | − | 0.939764i | −0.196123 | − | 0.0391909i | ||||
\(576\) | −0.882673 | + | 6.61296i | −0.0367780 | + | 0.275540i | ||||
\(577\) | −16.0897 | −0.669825 | −0.334912 | − | 0.942249i | \(-0.608707\pi\) | ||||
−0.334912 | + | 0.942249i | \(0.608707\pi\) | |||||||
\(578\) | 41.9581 | + | 12.2433i | 1.74523 | + | 0.509253i | ||||
\(579\) | 37.3441i | 1.55197i | ||||||||
\(580\) | 6.14730 | − | 9.63662i | 0.255253 | − | 0.400139i | ||||
\(581\) | −53.6148 | −2.22432 | ||||||||
\(582\) | −18.9143 | − | 5.51914i | −0.784022 | − | 0.228776i | ||||
\(583\) | − | 8.66668i | − | 0.358937i | ||||||
\(584\) | −3.45784 | − | 3.95005i | −0.143087 | − | 0.163454i | ||||
\(585\) | 4.80267i | 0.198566i | ||||||||
\(586\) | 0.969883 | − | 3.32382i | 0.0400655 | − | 0.137306i | ||||
\(587\) | − | 32.2006i | − | 1.32906i | −0.747261 | − | 0.664531i | \(-0.768631\pi\) | ||
0.747261 | − | 0.664531i | \(-0.231369\pi\) | |||||||
\(588\) | −8.75506 | + | 13.7246i | −0.361053 | + | 0.565993i | ||||
\(589\) | − | 29.5068i | − | 1.21581i | ||||||
\(590\) | 11.5569 | + | 3.37228i | 0.475791 | + | 0.138835i | ||||
\(591\) | 2.73447i | 0.112481i | ||||||||
\(592\) | 10.6489 | − | 4.95017i | 0.437666 | − | 0.203451i | ||||
\(593\) | 13.0612 | 0.536359 | 0.268179 | − | 0.963369i | \(-0.413578\pi\) | ||||
0.268179 | + | 0.963369i | \(0.413578\pi\) | |||||||
\(594\) | −2.59963 | + | 8.90903i | −0.106664 | + | 0.365542i | ||||
\(595\) | 24.5009 | 1.00444 | ||||||||
\(596\) | 20.5395 | − | 32.1981i | 0.841331 | − | 1.31889i | ||||
\(597\) | 27.8037i | 1.13793i | ||||||||
\(598\) | −34.6244 | − | 18.0763i | −1.41590 | − | 0.739194i | ||||
\(599\) | 16.6052i | 0.678469i | 0.940702 | + | 0.339234i | \(0.110168\pi\) | ||||
−0.940702 | + | 0.339234i | \(0.889832\pi\) | |||||||
\(600\) | −3.13217 | + | 2.74188i | −0.127870 | + | 0.111937i | ||||
\(601\) | 0.980281 | 0.0399865 | 0.0199932 | − | 0.999800i | \(-0.493636\pi\) | ||||
0.0199932 | + | 0.999800i | \(0.493636\pi\) | |||||||
\(602\) | 20.7643 | + | 6.05897i | 0.846289 | + | 0.246945i | ||||
\(603\) | 3.12361 | 0.127203 | ||||||||
\(604\) | 4.52608 | − | 7.09517i | 0.184164 | − | 0.288698i | ||||
\(605\) | − | 9.64744i | − | 0.392224i | ||||||
\(606\) | −3.72601 | + | 12.7692i | −0.151359 | + | 0.518712i | ||||
\(607\) | − | 9.05291i | − | 0.367446i | −0.982978 | − | 0.183723i | \(-0.941185\pi\) | ||
0.982978 | − | 0.183723i | \(-0.0588150\pi\) | |||||||
\(608\) | 3.01663 | + | 19.7959i | 0.122340 | + | 0.802831i | ||||
\(609\) | − | 29.7749i | − | 1.20654i | ||||||
\(610\) | −11.4109 | − | 3.32967i | −0.462013 | − | 0.134814i | ||||
\(611\) | 1.88367i | 0.0762051i | ||||||||
\(612\) | 6.20855 | − | 9.73263i | 0.250966 | − | 0.393418i | ||||
\(613\) | − | 10.4845i | − | 0.423464i | −0.977328 | − | 0.211732i | \(-0.932090\pi\) | ||
0.977328 | − | 0.211732i | \(-0.0679104\pi\) | |||||||
\(614\) | −8.40022 | + | 28.7878i | −0.339005 | + | 1.16178i | ||||
\(615\) | −9.76745 | −0.393862 | ||||||||
\(616\) | 7.66970 | + | 8.76144i | 0.309021 | + | 0.353009i | ||||
\(617\) | 8.27118i | 0.332985i | 0.986043 | + | 0.166493i | \(0.0532442\pi\) | ||||
−0.986043 | + | 0.166493i | \(0.946756\pi\) | |||||||
\(618\) | −0.820302 | + | 2.81120i | −0.0329974 | + | 0.113083i | ||||
\(619\) | 15.1042 | 0.607087 | 0.303544 | − | 0.952818i | \(-0.401830\pi\) | ||||
0.303544 | + | 0.952818i | \(0.401830\pi\) | |||||||
\(620\) | −14.0550 | − | 8.96581i | −0.564461 | − | 0.360075i | ||||
\(621\) | −5.30273 | + | 26.5364i | −0.212791 | + | 1.06487i | ||||
\(622\) | −3.76795 | + | 12.9129i | −0.151081 | + | 0.517760i | ||||
\(623\) | 52.8706i | 2.11822i | ||||||||
\(624\) | −30.7435 | + | 14.2912i | −1.23073 | + | 0.572107i | ||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | −6.59477 | + | 22.6005i | −0.263580 | + | 0.903298i | ||||
\(627\) | 6.05897i | 0.241972i | ||||||||
\(628\) | −2.73738 | + | 4.29117i | −0.109233 | + | 0.171236i | ||||
\(629\) | −20.3199 | −0.810208 | ||||||||
\(630\) | 1.16944 | − | 4.00772i | 0.0465917 | − | 0.159671i | ||||
\(631\) | 36.3050 | 1.44528 | 0.722640 | − | 0.691225i | \(-0.242928\pi\) | ||||
0.722640 | + | 0.691225i | \(0.242928\pi\) | |||||||
\(632\) | 28.8342 | + | 32.9386i | 1.14696 | + | 1.31023i | ||||
\(633\) | −14.6894 | −0.583852 | ||||||||
\(634\) | −3.27690 | − | 0.956191i | −0.130142 | − | 0.0379752i | ||||
\(635\) | 10.1247 | 0.401785 | ||||||||
\(636\) | −18.4928 | − | 11.7967i | −0.733286 | − | 0.467771i | ||||
\(637\) | 31.8503 | 1.26196 | ||||||||
\(638\) | −9.02361 | − | 2.63307i | −0.357248 | − | 0.104244i | ||||
\(639\) | − | 10.5466i | − | 0.417218i | ||||||
\(640\) | 10.3460 | + | 4.57820i | 0.408962 | + | 0.180969i | ||||
\(641\) | 33.5891i | 1.32669i | 0.748315 | + | 0.663344i | \(0.230863\pi\) | ||||
−0.748315 | + | 0.663344i | \(0.769137\pi\) | |||||||
\(642\) | 2.51911 | − | 8.63307i | 0.0994213 | − | 0.340720i | ||||
\(643\) | −1.33940 | −0.0528207 | −0.0264104 | − | 0.999651i | \(-0.508408\pi\) | ||||
−0.0264104 | + | 0.999651i | \(0.508408\pi\) | |||||||
\(644\) | 24.4918 | + | 23.5153i | 0.965111 | + | 0.926631i | ||||
\(645\) | 6.35908 | 0.250388 | ||||||||
\(646\) | 9.70586 | − | 33.2623i | 0.381872 | − | 1.30869i | ||||
\(647\) | − | 41.6967i | − | 1.63927i | −0.572889 | − | 0.819633i | \(-0.694178\pi\) | ||
0.572889 | − | 0.819633i | \(-0.305822\pi\) | |||||||
\(648\) | 10.8104 | + | 12.3492i | 0.424673 | + | 0.485123i | ||||
\(649\) | − | 9.90033i | − | 0.388622i | ||||||
\(650\) | 7.81831 | + | 2.28136i | 0.306659 | + | 0.0894824i | ||||
\(651\) | −43.4266 | −1.70202 | ||||||||
\(652\) | 12.9945 | − | 20.3705i | 0.508906 | − | 0.797770i | ||||
\(653\) | −13.9039 | −0.544101 | −0.272051 | − | 0.962283i | \(-0.587702\pi\) | ||||
−0.272051 | + | 0.962283i | \(0.587702\pi\) | |||||||
\(654\) | 0.262171 | + | 0.0765008i | 0.0102517 | + | 0.00299142i | ||||
\(655\) | 5.41204 | 0.211466 | ||||||||
\(656\) | 11.1903 | + | 24.0727i | 0.436907 | + | 0.939880i | ||||
\(657\) | 1.54786 | 0.0603878 | ||||||||
\(658\) | 0.458671 | − | 1.57188i | 0.0178808 | − | 0.0612783i | ||||
\(659\) | 2.90120 | 0.113015 | 0.0565074 | − | 0.998402i | \(-0.482004\pi\) | ||||
0.0565074 | + | 0.998402i | \(0.482004\pi\) | |||||||
\(660\) | 2.88607 | + | 1.84105i | 0.112340 | + | 0.0716629i | ||||
\(661\) | 9.24133i | 0.359446i | 0.983717 | + | 0.179723i | \(0.0575202\pi\) | ||||
−0.983717 | + | 0.179723i | \(0.942480\pi\) | |||||||
\(662\) | −2.95818 | + | 10.1378i | −0.114973 | + | 0.394015i | ||||
\(663\) | 58.6640 | 2.27832 | ||||||||
\(664\) | 28.2171 | + | 32.2337i | 1.09504 | + | 1.25091i | ||||
\(665\) | − | 12.5306i | − | 0.485916i | ||||||
\(666\) | −0.969883 | + | 3.32382i | −0.0375822 | + | 0.128795i | ||||
\(667\) | −26.8777 | − | 5.37093i | −1.04071 | − | 0.207963i | ||||
\(668\) | 9.15640 | − | 14.3537i | 0.354272 | − | 0.555363i | ||||
\(669\) | 17.8716 | 0.690956 | ||||||||
\(670\) | 1.48378 | − | 5.08495i | 0.0573233 | − | 0.196449i | ||||
\(671\) | 9.77523i | 0.377368i | ||||||||
\(672\) | 29.1347 | − | 4.43972i | 1.12389 | − | 0.171266i | ||||
\(673\) | −12.1472 | −0.468241 | −0.234121 | − | 0.972208i | \(-0.575221\pi\) | ||||
−0.234121 | + | 0.972208i | \(0.575221\pi\) | |||||||
\(674\) | 12.4606 | − | 42.7030i | 0.479965 | − | 1.64486i | ||||
\(675\) | − | 5.64262i | − | 0.217184i | ||||||
\(676\) | 34.0015 | + | 21.6899i | 1.30775 | + | 0.834228i | ||||
\(677\) | − | 22.1571i | − | 0.851568i | −0.904825 | − | 0.425784i | \(-0.859998\pi\) | ||
0.904825 | − | 0.425784i | \(-0.140002\pi\) | |||||||
\(678\) | −18.6350 | − | 5.43765i | −0.715674 | − | 0.208832i | ||||
\(679\) | − | 33.5097i | − | 1.28598i | ||||||
\(680\) | −12.8947 | − | 14.7301i | −0.494487 | − | 0.564875i | ||||
\(681\) | 40.6502i | 1.55772i | ||||||||
\(682\) | −3.84032 | + | 13.1609i | −0.147053 | + | 0.503957i | ||||
\(683\) | − | 19.4459i | − | 0.744078i | −0.928217 | − | 0.372039i | \(-0.878659\pi\) | ||
0.928217 | − | 0.372039i | \(-0.121341\pi\) | |||||||
\(684\) | −4.97760 | − | 3.17527i | −0.190323 | − | 0.121409i | ||||
\(685\) | −16.6474 | −0.636066 | ||||||||
\(686\) | 7.06153 | + | 2.06054i | 0.269610 | + | 0.0786716i | ||||
\(687\) | 3.93453 | 0.150112 | ||||||||
\(688\) | −7.28541 | − | 15.6725i | −0.277754 | − | 0.597507i | ||||
\(689\) | 42.9157i | 1.63496i | ||||||||
\(690\) | 8.84861 | + | 4.61957i | 0.336861 | + | 0.175864i | ||||
\(691\) | − | 19.0338i | − | 0.724081i | −0.932162 | − | 0.362040i | \(-0.882080\pi\) | ||
0.932162 | − | 0.362040i | \(-0.117920\pi\) | |||||||
\(692\) | −11.6705 | − | 7.44473i | −0.443646 | − | 0.283006i | ||||
\(693\) | −3.43325 | −0.130418 | ||||||||
\(694\) | 7.85319 | − | 26.9131i | 0.298103 | − | 1.02161i | ||||
\(695\) | 9.34213 | 0.354367 | ||||||||
\(696\) | −17.9010 | + | 15.6704i | −0.678534 | + | 0.593984i | ||||
\(697\) | − | 45.9349i | − | 1.73991i | ||||||
\(698\) | 38.9134 | + | 11.3548i | 1.47289 | + | 0.429787i | ||||
\(699\) | − | 28.3302i | − | 1.07155i | ||||||
\(700\) | −5.96870 | − | 3.80749i | −0.225596 | − | 0.143910i | ||||
\(701\) | 1.32081i | 0.0498862i | 0.999689 | + | 0.0249431i | \(0.00794046\pi\) | ||||
−0.999689 | + | 0.0249431i | \(0.992060\pi\) | |||||||
\(702\) | 12.8729 | − | 44.1157i | 0.485855 | − | 1.66504i | ||||
\(703\) | 10.3923i | 0.391953i | ||||||||
\(704\) | 1.23094 | − | 9.22219i | 0.0463929 | − | 0.347574i | ||||
\(705\) | − | 0.481390i | − | 0.0181302i | ||||||
\(706\) | −17.1653 | − | 5.00879i | −0.646025 | − | 0.188508i | ||||
\(707\) | −22.6226 | −0.850812 | ||||||||
\(708\) | −21.1251 | − | 13.4759i | −0.793931 | − | 0.506457i | ||||
\(709\) | 14.6676i | 0.550854i | 0.961322 | + | 0.275427i | \(0.0888193\pi\) | ||||
−0.961322 | + | 0.275427i | \(0.911181\pi\) | |||||||
\(710\) | −17.1690 | − | 5.00986i | −0.644340 | − | 0.188017i | ||||
\(711\) | −12.9073 | −0.484061 | ||||||||
\(712\) | 31.7863 | − | 27.8255i | 1.19124 | − | 1.04280i | ||||
\(713\) | −7.83348 | + | 39.2010i | −0.293366 | + | 1.46809i | ||||
\(714\) | −48.9538 | − | 14.2846i | −1.83205 | − | 0.534588i | ||||
\(715\) | − | 6.69762i | − | 0.250477i | ||||||
\(716\) | −5.82122 | + | 9.12545i | −0.217549 | + | 0.341034i | ||||
\(717\) | −18.5958 | −0.694475 | ||||||||
\(718\) | 32.2192 | + | 9.40149i | 1.20241 | + | 0.350861i | ||||
\(719\) | 24.8798i | 0.927858i | 0.885872 | + | 0.463929i | \(0.153561\pi\) | ||||
−0.885872 | + | 0.463929i | \(0.846439\pi\) | |||||||
\(720\) | −3.02495 | + | 1.40616i | −0.112733 | + | 0.0524045i | ||||
\(721\) | −4.98050 | −0.185484 | ||||||||
\(722\) | 8.78285 | + | 2.56281i | 0.326864 | + | 0.0953780i | ||||
\(723\) | 8.06631 | 0.299989 | ||||||||
\(724\) | −17.8021 | + | 27.9070i | −0.661611 | + | 1.03715i | ||||
\(725\) | 5.71519 | 0.212257 | ||||||||
\(726\) | −5.62469 | + | 19.2760i | −0.208752 | + | 0.715400i | ||||
\(727\) | −16.7420 | −0.620926 | −0.310463 | − | 0.950585i | \(-0.600484\pi\) | ||||
−0.310463 | + | 0.950585i | \(0.600484\pi\) | |||||||
\(728\) | −37.9789 | − | 43.3849i | −1.40759 | − | 1.60795i | ||||
\(729\) | −29.7527 | −1.10195 | ||||||||
\(730\) | 0.735265 | − | 2.51978i | 0.0272134 | − | 0.0932612i | ||||
\(731\) | 29.9058i | 1.10611i | ||||||||
\(732\) | 20.8582 | + | 13.3056i | 0.770940 | + | 0.491791i | ||||
\(733\) | − | 14.5767i | − | 0.538403i | −0.963084 | − | 0.269202i | \(-0.913240\pi\) | ||
0.963084 | − | 0.269202i | \(-0.0867598\pi\) | |||||||
\(734\) | 44.4006 | + | 12.9560i | 1.63886 | + | 0.478214i | ||||
\(735\) | −8.13965 | −0.300236 | ||||||||
\(736\) | 1.24772 | − | 27.1006i | 0.0459914 | − | 0.998942i | ||||
\(737\) | −4.35606 | −0.160458 | ||||||||
\(738\) | −7.51379 | − | 2.19250i | −0.276586 | − | 0.0807072i | ||||
\(739\) | 30.1332i | 1.10847i | 0.832361 | + | 0.554234i | \(0.186989\pi\) | ||||
−0.832361 | + | 0.554234i | \(0.813011\pi\) | |||||||
\(740\) | 4.95017 | + | 3.15776i | 0.181972 | + | 0.116082i | ||||
\(741\) | − | 30.0028i | − | 1.10218i | ||||||
\(742\) | 10.4499 | − | 35.8122i | 0.383628 | − | 1.31471i | ||||
\(743\) | −5.43289 | −0.199313 | −0.0996567 | − | 0.995022i | \(-0.531774\pi\) | ||||
−0.0996567 | + | 0.995022i | \(0.531774\pi\) | |||||||
\(744\) | 22.8552 | + | 26.1085i | 0.837911 | + | 0.957183i | ||||
\(745\) | 19.0958 | 0.699614 | ||||||||
\(746\) | 5.53462 | − | 18.9673i | 0.202637 | − | 0.694444i | ||||
\(747\) | −12.6311 | −0.462146 | ||||||||
\(748\) | −8.65820 | + | 13.5728i | −0.316575 | + | 0.496269i | ||||
\(749\) | 15.2949 | 0.558863 | ||||||||
\(750\) | −1.99804 | − | 0.583024i | −0.0729583 | − | 0.0212890i | ||||
\(751\) | −10.0611 | −0.367134 | −0.183567 | − | 0.983007i | \(-0.558764\pi\) | ||||
−0.183567 | + | 0.983007i | \(0.558764\pi\) | |||||||
\(752\) | −1.18642 | + | 0.551514i | −0.0432644 | + | 0.0201116i | ||||
\(753\) | 4.72230i | 0.172090i | ||||||||
\(754\) | 44.6832 | + | 13.0384i | 1.62726 | + | 0.474832i | ||||
\(755\) | 4.20794 | 0.153142 | ||||||||
\(756\) | −21.4842 | + | 33.6791i | −0.781374 | + | 1.22490i | ||||
\(757\) | 16.5853i | 0.602805i | 0.953497 | + | 0.301402i | \(0.0974547\pi\) | ||||
−0.953497 | + | 0.301402i | \(0.902545\pi\) | |||||||
\(758\) | −28.1254 | − | 8.20692i | −1.02156 | − | 0.298089i | ||||
\(759\) | 1.60854 | − | 8.04960i | 0.0583862 | − | 0.292182i | ||||
\(760\) | −7.53351 | + | 6.59477i | −0.273269 | + | 0.239218i | ||||
\(761\) | 34.1984 | 1.23969 | 0.619845 | − | 0.784724i | \(-0.287195\pi\) | ||||
0.619845 | + | 0.784724i | \(0.287195\pi\) | |||||||
\(762\) | −20.2295 | − | 5.90292i | −0.732838 | − | 0.213840i | ||||
\(763\) | 0.464478i | 0.0168152i | ||||||||
\(764\) | 25.5383 | + | 16.2912i | 0.923944 | + | 0.589394i | ||||
\(765\) | 5.77213 | 0.208692 | ||||||||
\(766\) | 2.70809 | + | 0.790214i | 0.0978472 | + | 0.0285516i | ||||
\(767\) | 49.0245i | 1.77017i | ||||||||
\(768\) | −18.0026 | − | 15.1794i | −0.649613 | − | 0.547740i | ||||
\(769\) | 44.6472i | 1.61002i | 0.593261 | + | 0.805010i | \(0.297840\pi\) | ||||
−0.593261 | + | 0.805010i | \(0.702160\pi\) | |||||||
\(770\) | −1.63086 | + | 5.58902i | −0.0587721 | + | 0.201414i | ||||
\(771\) | 2.41393i | 0.0869355i | ||||||||
\(772\) | 42.7840 | + | 27.2924i | 1.53983 | + | 0.982274i | ||||
\(773\) | − | 42.9053i | − | 1.54319i | −0.636111 | − | 0.771597i | \(-0.719458\pi\) | ||
0.636111 | − | 0.771597i | \(-0.280542\pi\) | |||||||
\(774\) | 4.89184 | + | 1.42743i | 0.175833 | + | 0.0513078i | ||||
\(775\) | − | 8.33558i | − | 0.299423i | ||||||
\(776\) | −20.1463 | + | 17.6359i | −0.723211 | + | 0.633093i | ||||
\(777\) | 15.2949 | 0.548701 | ||||||||
\(778\) | 6.50901 | − | 22.3066i | 0.233359 | − | 0.799730i | ||||
\(779\) | −23.4927 | −0.841713 | ||||||||
\(780\) | −14.2912 | − | 9.11653i | −0.511708 | − | 0.326424i | ||||
\(781\) | 14.7079i | 0.526291i | ||||||||
\(782\) | −21.7252 | + | 41.6137i | −0.776890 | + | 1.48810i | ||||
\(783\) | − | 32.2487i | − | 1.15247i | ||||||
\(784\) | 9.32536 | + | 20.0608i | 0.333049 | + | 0.716458i | ||||
\(785\) | −2.54496 | −0.0908337 | ||||||||
\(786\) | −10.8135 | − | 3.15535i | −0.385704 | − | 0.112548i | ||||
\(787\) | 2.63565 | 0.0939506 | 0.0469753 | − | 0.998896i | \(-0.485042\pi\) | ||||
0.0469753 | + | 0.998896i | \(0.485042\pi\) | |||||||
\(788\) | 3.13280 | + | 1.99844i | 0.111601 | + | 0.0711917i | ||||
\(789\) | − | 32.3014i | − | 1.14996i | ||||||
\(790\) | −6.13121 | + | 21.0119i | −0.218139 | + | 0.747569i | ||||
\(791\) | − | 33.0149i | − | 1.17388i | ||||||
\(792\) | 1.80690 | + | 2.06410i | 0.0642053 | + | 0.0733446i | ||||
\(793\) | − | 48.4050i | − | 1.71891i | ||||||
\(794\) | 0.788629 | + | 0.230120i | 0.0279874 | + | 0.00816665i | ||||
\(795\) | − | 10.9675i | − | 0.388978i | ||||||
\(796\) | 31.8539 | + | 20.3199i | 1.12903 | + | 0.720220i | ||||
\(797\) | − | 47.3035i | − | 1.67558i | −0.545996 | − | 0.837788i | \(-0.683848\pi\) | ||
0.545996 | − | 0.837788i | \(-0.316152\pi\) | |||||||
\(798\) | −7.30564 | + | 25.0367i | −0.258617 | + | 0.886289i | ||||
\(799\) | 2.26391 | 0.0800912 | ||||||||
\(800\) | 0.852189 | + | 5.59230i | 0.0301294 | + | 0.197718i | ||||
\(801\) | 12.4557i | 0.440102i | ||||||||
\(802\) | 3.34674 | − | 11.4694i | 0.118178 | − | 0.404999i | ||||
\(803\) | −2.15859 | −0.0761749 | ||||||||
\(804\) | −5.92930 | + | 9.29488i | −0.209110 | + | 0.327805i | ||||
\(805\) | −3.32663 | + | 16.6474i | −0.117248 | + | 0.586745i | ||||
\(806\) | 19.0165 | − | 65.1702i | 0.669827 | − | 2.29552i | ||||
\(807\) | − | 11.1236i | − | 0.391568i | ||||||
\(808\) | 11.9062 | + | 13.6009i | 0.418857 | + | 0.478479i | ||||
\(809\) | −32.4597 | −1.14122 | −0.570611 | − | 0.821221i | \(-0.693293\pi\) | ||||
−0.570611 | + | 0.821221i | \(0.693293\pi\) | |||||||
\(810\) | −2.29869 | + | 7.87769i | −0.0807677 | + | 0.276794i | ||||
\(811\) | − | 24.2658i | − | 0.852086i | −0.904703 | − | 0.426043i | \(-0.859907\pi\) | ||
0.904703 | − | 0.426043i | \(-0.140093\pi\) | |||||||
\(812\) | −34.1123 | − | 21.7606i | −1.19711 | − | 0.763646i | ||||
\(813\) | 21.9884 | 0.771168 | ||||||||
\(814\) | 1.35256 | − | 4.63528i | 0.0474073 | − | 0.162466i | ||||
\(815\) | 12.0811 | 0.423184 | ||||||||
\(816\) | 17.1761 | + | 36.9494i | 0.601282 | + | 1.29349i | ||||
\(817\) | 15.2949 | 0.535100 | ||||||||
\(818\) | −4.00700 | − | 1.16923i | −0.140102 | − | 0.0408813i | ||||
\(819\) | 17.0008 | 0.594055 | ||||||||
\(820\) | −7.13839 | + | 11.1903i | −0.249284 | + | 0.390781i | ||||
\(821\) | 14.7107 | 0.513408 | 0.256704 | − | 0.966490i | \(-0.417363\pi\) | ||||
0.256704 | + | 0.966490i | \(0.417363\pi\) | |||||||
\(822\) | 33.2623 | + | 9.70586i | 1.16016 | + | 0.338531i | ||||
\(823\) | − | 13.4405i | − | 0.468506i | −0.972176 | − | 0.234253i | \(-0.924736\pi\) | ||
0.972176 | − | 0.234253i | \(-0.0752644\pi\) | |||||||
\(824\) | 2.62121 | + | 2.99432i | 0.0913141 | + | 0.104312i | ||||
\(825\) | 1.71164i | 0.0595917i | ||||||||
\(826\) | 11.9374 | − | 40.9099i | 0.415355 | − | 1.42344i | ||||
\(827\) | 6.28210 | 0.218450 | 0.109225 | − | 0.994017i | \(-0.465163\pi\) | ||||
0.109225 | + | 0.994017i | \(0.465163\pi\) | |||||||
\(828\) | 5.76999 | + | 5.53994i | 0.200521 | + | 0.192526i | ||||
\(829\) | −28.2337 | −0.980597 | −0.490298 | − | 0.871555i | \(-0.663112\pi\) | ||||
−0.490298 | + | 0.871555i | \(0.663112\pi\) | |||||||
\(830\) | −6.00000 | + | 20.5622i | −0.208263 | + | 0.713725i | ||||
\(831\) | 14.4634i | 0.501728i | ||||||||
\(832\) | −6.09538 | + | 45.6665i | −0.211319 | + | 1.58320i | ||||
\(833\) | − | 38.2796i | − | 1.32631i | ||||||
\(834\) | −18.6660 | − | 5.44669i | −0.646350 | − | 0.188603i | ||||
\(835\) | 8.51278 | 0.294597 | ||||||||
\(836\) | 6.94158 | + | 4.42810i | 0.240079 | + | 0.153149i | ||||
\(837\) | −47.0345 | −1.62575 | ||||||||
\(838\) | 18.5166 | + | 5.40309i | 0.639644 | + | 0.186647i | ||||
\(839\) | −30.2119 | −1.04303 | −0.521515 | − | 0.853242i | \(-0.674633\pi\) | ||||
−0.521515 | + | 0.853242i | \(0.674633\pi\) | |||||||
\(840\) | 9.70586 | + | 11.0874i | 0.334884 | + | 0.382553i | ||||
\(841\) | 3.66345 | 0.126326 | ||||||||
\(842\) | −9.08817 | + | 31.1455i | −0.313199 | + | 1.07334i | ||||
\(843\) | 8.49927 | 0.292731 | ||||||||
\(844\) | −10.7355 | + | 16.8292i | −0.369533 | + | 0.579286i | ||||
\(845\) | 20.1653i | 0.693708i | ||||||||
\(846\) | 0.108058 | − | 0.370318i | 0.00371510 | − | 0.0127318i | ||||
\(847\) | −34.1506 | −1.17343 | ||||||||
\(848\) | −27.0303 | + | 12.5652i | −0.928225 | + | 0.431489i | ||||
\(849\) | − | 12.9963i | − | 0.446032i | ||||||
\(850\) | 2.74188 | − | 9.39651i | 0.0940457 | − | 0.322298i | ||||
\(851\) | 2.75896 | − | 13.8066i | 0.0945758 | − | 0.473285i | ||||
\(852\) | 31.3835 | + | 20.0198i | 1.07518 | + | 0.685868i | ||||
\(853\) | −19.2010 | −0.657431 | −0.328715 | − | 0.944429i | \(-0.606616\pi\) | ||||
−0.328715 | + | 0.944429i | \(0.606616\pi\) | |||||||
\(854\) | −11.7865 | + | 40.3929i | −0.403327 | + | 1.38222i | ||||
\(855\) | − | 2.95207i | − | 0.100959i | ||||||
\(856\) | −8.04960 | − | 9.19542i | −0.275130 | − | 0.314293i | ||||
\(857\) | 57.6819 | 1.97038 | 0.985189 | − | 0.171472i | \(-0.0548524\pi\) | ||||
0.985189 | + | 0.171472i | \(0.0548524\pi\) | |||||||
\(858\) | −3.90488 | + | 13.3821i | −0.133310 | + | 0.456859i | ||||
\(859\) | − | 55.8795i | − | 1.90658i | −0.302052 | − | 0.953292i | \(-0.597672\pi\) | ||
0.302052 | − | 0.953292i | \(-0.402328\pi\) | |||||||
\(860\) | 4.64744 | − | 7.28541i | 0.158476 | − | 0.248430i | ||||
\(861\) | 34.5754i | 1.17833i | ||||||||
\(862\) | 28.9234 | + | 8.43977i | 0.985134 | + | 0.287460i | ||||
\(863\) | 35.1360i | 1.19604i | 0.801480 | + | 0.598021i | \(0.204046\pi\) | ||||
−0.801480 | + | 0.598021i | \(0.795954\pi\) | |||||||
\(864\) | 31.5552 | − | 4.80858i | 1.07353 | − | 0.163591i | ||||
\(865\) | − | 6.92143i | − | 0.235336i | ||||||
\(866\) | −8.44952 | + | 28.9568i | −0.287126 | + | 0.983992i | ||||
\(867\) | − | 45.4861i | − | 1.54479i | ||||||
\(868\) | −31.7377 | + | 49.7526i | −1.07725 | + | 1.68871i | ||||
\(869\) | 18.0000 | 0.610608 | ||||||||
\(870\) | −11.4192 | − | 3.33210i | −0.387147 | − | 0.112969i | ||||
\(871\) | 21.5704 | 0.730884 | ||||||||
\(872\) | 0.279248 | − | 0.244452i | 0.00945654 | − | 0.00827819i | ||||
\(873\) | − | 7.89451i | − | 0.267189i | ||||||
\(874\) | 21.2827 | + | 11.1110i | 0.719898 | + | 0.375835i | ||||
\(875\) | − | 3.53986i | − | 0.119669i | ||||||
\(876\) | −2.93818 | + | 4.60595i | −0.0992720 | + | 0.155621i | ||||
\(877\) | −24.7643 | −0.836230 | −0.418115 | − | 0.908394i | \(-0.637309\pi\) | ||||
−0.418115 | + | 0.908394i | \(0.637309\pi\) | |||||||
\(878\) | −4.14993 | + | 14.2220i | −0.140054 | + | 0.479968i | ||||
\(879\) | −3.60330 | −0.121536 | ||||||||
\(880\) | 4.21848 | − | 1.96098i | 0.142205 | − | 0.0661045i | ||||
\(881\) | 7.84285i | 0.264232i | 0.991234 | + | 0.132116i | \(0.0421772\pi\) | ||||
−0.991234 | + | 0.132116i | \(0.957823\pi\) | |||||||
\(882\) | −6.26157 | − | 1.82711i | −0.210838 | − | 0.0615221i | ||||
\(883\) | − | 2.88449i | − | 0.0970708i | −0.998821 | − | 0.0485354i | \(-0.984545\pi\) | ||
0.998821 | − | 0.0485354i | \(-0.0154554\pi\) | |||||||
\(884\) | 42.8737 | − | 67.2096i | 1.44200 | − | 2.26050i | ||||
\(885\) | − | 12.5287i | − | 0.421147i | ||||||
\(886\) | −4.99826 | + | 17.1292i | −0.167920 | + | 0.575467i | ||||
\(887\) | 27.8673i | 0.935691i | 0.883810 | + | 0.467846i | \(0.154970\pi\) | ||||
−0.883810 | + | 0.467846i | \(0.845030\pi\) | |||||||
\(888\) | −8.04960 | − | 9.19542i | −0.270127 | − | 0.308578i | ||||
\(889\) | − | 35.8398i | − | 1.20203i | ||||||
\(890\) | 20.2768 | + | 5.91672i | 0.679680 | + | 0.198329i | ||||
\(891\) | 6.74849 | 0.226083 | ||||||||
\(892\) | 13.0612 | − | 20.4750i | 0.437321 | − | 0.685552i | ||||
\(893\) | − | 1.15784i | − | 0.0387456i | ||||||
\(894\) | −38.1541 | − | 11.1333i | −1.27607 | − | 0.372353i | ||||
\(895\) | −5.41204 | −0.180904 | ||||||||
\(896\) | 16.2062 | − | 36.6234i | 0.541410 | − | 1.22350i | ||||
\(897\) | −7.96517 | + | 39.8600i | −0.265949 | + | 1.33089i | ||||
\(898\) | 18.6580 | + | 5.44436i | 0.622625 | + | 0.181681i | ||||
\(899\) | − | 47.6395i | − | 1.58887i | ||||||
\(900\) | −1.40616 | − | 0.897004i | −0.0468720 | − | 0.0299001i | ||||
\(901\) | 51.5786 | 1.71833 | ||||||||
\(902\) | 10.4784 | + | 3.05758i | 0.348894 | + | 0.101806i | ||||
\(903\) | − | 22.5102i | − | 0.749094i | ||||||
\(904\) | −19.8489 | + | 17.3756i | −0.660164 | + | 0.577903i | ||||
\(905\) | −16.5508 | −0.550167 | ||||||||
\(906\) | −8.40764 | − | 2.45333i | −0.279325 | − | 0.0815064i | ||||
\(907\) | 34.2014 | 1.13564 | 0.567820 | − | 0.823153i | \(-0.307787\pi\) | ||||
0.567820 | + | 0.823153i | \(0.307787\pi\) | |||||||
\(908\) | 46.5718 | + | 29.7086i | 1.54554 | + | 0.985915i | ||||
\(909\) | −5.32964 | −0.176773 | ||||||||
\(910\) | 8.07570 | − | 27.6757i | 0.267707 | − | 0.917441i | ||||
\(911\) | −22.6587 | −0.750716 | −0.375358 | − | 0.926880i | \(-0.622480\pi\) | ||||
−0.375358 | + | 0.926880i | \(0.622480\pi\) | |||||||
\(912\) | 18.8972 | − | 8.78443i | 0.625748 | − | 0.290882i | ||||
\(913\) | 17.6148 | 0.582964 | ||||||||
\(914\) | 1.51094 | − | 5.17803i | 0.0499774 | − | 0.171274i | ||||
\(915\) | 12.3704i | 0.408951i | ||||||||
\(916\) | 2.87549 | − | 4.50768i | 0.0950090 | − | 0.148938i | ||||
\(917\) | − | 19.1578i | − | 0.632648i | ||||||
\(918\) | −53.0209 | − | 15.4714i | −1.74995 | − | 0.510631i | ||||
\(919\) | −16.5070 | −0.544516 | −0.272258 | − | 0.962224i | \(-0.587770\pi\) | ||||
−0.272258 | + | 0.962224i | \(0.587770\pi\) | |||||||
\(920\) | 11.7594 | − | 6.76144i | 0.387695 | − | 0.222918i | ||||
\(921\) | 31.2085 | 1.02835 | ||||||||
\(922\) | −33.4620 | − | 9.76414i | −1.10201 | − | 0.321565i | ||||
\(923\) | − | 72.8308i | − | 2.39725i | ||||||
\(924\) | 6.51706 | − | 10.2163i | 0.214396 | − | 0.336091i | ||||
\(925\) | 2.93580i | 0.0965284i | ||||||||
\(926\) | −16.4845 | + | 56.4928i | −0.541713 | + | 1.85647i | ||||
\(927\) | −1.17335 | −0.0385379 | ||||||||
\(928\) | 4.87043 | + | 31.9611i | 0.159880 | + | 1.04917i | ||||
\(929\) | 46.2688 | 1.51803 | 0.759015 | − | 0.651073i | \(-0.225681\pi\) | ||||
0.759015 | + | 0.651073i | \(0.225681\pi\) | |||||||
\(930\) | −4.85985 | + | 16.6549i | −0.159361 | + | 0.546134i | ||||
\(931\) | −19.5775 | −0.641627 | ||||||||
\(932\) | −32.4571 | − | 20.7047i | −1.06317 | − | 0.678206i | ||||
\(933\) | 13.9987 | 0.458296 | ||||||||
\(934\) | −7.01214 | − | 2.04612i | −0.229444 | − | 0.0669512i | ||||
\(935\) | −8.04960 | −0.263250 | ||||||||
\(936\) | −8.94740 | − | 10.2210i | −0.292455 | − | 0.334084i | ||||
\(937\) | 56.3876i | 1.84210i | 0.389441 | + | 0.921051i | \(0.372668\pi\) | ||||
−0.389441 | + | 0.921051i | \(0.627332\pi\) | |||||||
\(938\) | −18.0000 | − | 5.25236i | −0.587721 | − | 0.171495i | ||||
\(939\) | 24.5009 | 0.799556 | ||||||||
\(940\) | −0.551514 | − | 0.351816i | −0.0179884 | − | 0.0114750i | ||||
\(941\) | 39.6971i | 1.29409i | 0.762453 | + | 0.647044i | \(0.223995\pi\) | ||||
−0.762453 | + | 0.647044i | \(0.776005\pi\) | |||||||
\(942\) | 5.08495 | + | 1.48378i | 0.165677 | + | 0.0483440i | ||||
\(943\) | 31.2111 | + | 6.23686i | 1.01637 | + | 0.203100i | ||||
\(944\) | −30.8780 | + | 14.3537i | −1.00499 | + | 0.467174i | ||||
\(945\) | −19.9741 | −0.649756 | ||||||||
\(946\) | −6.82197 | − | 1.99063i | −0.221801 | − | 0.0647211i | ||||
\(947\) | 16.6941i | 0.542484i | 0.962511 | + | 0.271242i | \(0.0874344\pi\) | ||||
−0.962511 | + | 0.271242i | \(0.912566\pi\) | |||||||
\(948\) | 24.5009 | − | 38.4080i | 0.795751 | − | 1.24743i | ||||
\(949\) | 10.6889 | 0.346977 | ||||||||
\(950\) | −4.80570 | − | 1.40229i | −0.155918 | − | 0.0454964i | ||||
\(951\) | 3.55244i | 0.115196i | ||||||||
\(952\) | −52.1426 | + | 45.6453i | −1.68995 | + | 1.47937i | ||||
\(953\) | 2.39477i | 0.0775742i | 0.999247 | + | 0.0387871i | \(0.0123494\pi\) | ||||
−0.999247 | + | 0.0387871i | \(0.987651\pi\) | |||||||
\(954\) | 2.46188 | − | 8.43696i | 0.0797064 | − | 0.273157i | ||||
\(955\) | 15.1460i | 0.490114i | ||||||||
\(956\) | −13.5905 | + | 21.3047i | −0.439548 | + | 0.689044i | ||||
\(957\) | 9.78236i | 0.316219i | ||||||||
\(958\) | 3.03932 | + | 0.886865i | 0.0981959 | + | 0.0286533i | ||||
\(959\) | 58.9296i | 1.90293i | ||||||||
\(960\) | 1.55773 | − | 11.6705i | 0.0502756 | − | 0.376664i | ||||
\(961\) | −38.4819 | −1.24135 | ||||||||
\(962\) | −6.69762 | + | 22.9530i | −0.215940 | + | 0.740034i | ||||
\(963\) | 3.60330 | 0.116115 | ||||||||
\(964\) | 5.89514 | − | 9.24133i | 0.189870 | − | 0.297643i | ||||
\(965\) | 25.3739i | 0.816815i | ||||||||
\(966\) | 16.3526 | − | 31.3228i | 0.526137 | − | 1.00779i | ||||
\(967\) | − | 27.1960i | − | 0.874563i | −0.899325 | − | 0.437282i | \(-0.855941\pi\) | ||
0.899325 | − | 0.437282i | \(-0.144059\pi\) | |||||||
\(968\) | 17.9732 | + | 20.5316i | 0.577681 | + | 0.659911i | ||||
\(969\) | −36.0592 | −1.15839 | ||||||||
\(970\) | −12.8515 | − | 3.75005i | −0.412638 | − | 0.120407i | ||||
\(971\) | −24.7066 | −0.792871 | −0.396436 | − | 0.918063i | \(-0.629753\pi\) | ||||
−0.396436 | + | 0.918063i | \(0.629753\pi\) | |||||||
\(972\) | −9.02195 | + | 14.1430i | −0.289379 | + | 0.453636i | ||||
\(973\) | − | 33.0698i | − | 1.06017i | ||||||
\(974\) | 12.0166 | − | 41.1814i | 0.385038 | − | 1.31954i | ||||
\(975\) | − | 8.47571i | − | 0.271440i | ||||||
\(976\) | 30.4878 | − | 14.1724i | 0.975889 | − | 0.453646i | ||||
\(977\) | − | 25.3686i | − | 0.811614i | −0.913959 | − | 0.405807i | \(-0.866991\pi\) | ||
0.913959 | − | 0.405807i | \(-0.133009\pi\) | |||||||
\(978\) | −24.1386 | − | 7.04359i | −0.771868 | − | 0.225229i | ||||
\(979\) | − | 17.3703i | − | 0.555157i | ||||||
\(980\) | −5.94874 | + | 9.32536i | −0.190026 | + | 0.297888i | ||||
\(981\) | 0.109426i | 0.00349370i | ||||||||
\(982\) | 9.22834 | − | 31.6258i | 0.294488 | − | 1.00922i | ||||
\(983\) | 50.6994 | 1.61706 | 0.808530 | − | 0.588454i | \(-0.200263\pi\) | ||||
0.808530 | + | 0.588454i | \(0.200263\pi\) | |||||||
\(984\) | 20.7870 | − | 18.1968i | 0.662666 | − | 0.580093i | ||||
\(985\) | 1.85797i | 0.0591998i | ||||||||
\(986\) | 15.6704 | − | 53.7029i | 0.499046 | − | 1.71025i | ||||
\(987\) | −1.70405 | −0.0542405 | ||||||||
\(988\) | −34.3733 | − | 21.9271i | −1.09356 | − | 0.697594i | ||||
\(989\) | −20.3199 | − | 4.06049i | −0.646135 | − | 0.129116i | ||||
\(990\) | −0.384213 | + | 1.31671i | −0.0122111 | + | 0.0418478i | ||||
\(991\) | 13.9029i | 0.441639i | 0.975315 | + | 0.220820i | \(0.0708732\pi\) | ||||
−0.975315 | + | 0.220820i | \(0.929127\pi\) | |||||||
\(992\) | 46.6150 | − | 7.10349i | 1.48003 | − | 0.225536i | ||||
\(993\) | 10.9902 | 0.348763 | ||||||||
\(994\) | −17.7342 | + | 60.7757i | −0.562494 | + | 1.92769i | ||||
\(995\) | 18.8916i | 0.598903i | ||||||||
\(996\) | 23.9765 | − | 37.5860i | 0.759725 | − | 1.19096i | ||||
\(997\) | −11.8776 | −0.376168 | −0.188084 | − | 0.982153i | \(-0.560228\pi\) | ||||
−0.188084 | + | 0.982153i | \(0.560228\pi\) | |||||||
\(998\) | 8.95244 | − | 30.6803i | 0.283384 | − | 0.971168i | ||||
\(999\) | 16.5656 | 0.524112 |
(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 | 460.2.e.a.91.2 | yes | 16 | |
4.3 | odd | 2 | inner | 460.2.e.a.91.4 | yes | 16 | |
23.22 | odd | 2 | inner | 460.2.e.a.91.1 | ✓ | 16 | |
92.91 | even | 2 | inner | 460.2.e.a.91.3 | yes | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
460.2.e.a.91.1 | ✓ | 16 | 23.22 | odd | 2 | inner | |
460.2.e.a.91.2 | yes | 16 | 1.1 | even | 1 | trivial | |
460.2.e.a.91.3 | yes | 16 | 92.91 | even | 2 | inner | |
460.2.e.a.91.4 | yes | 16 | 4.3 | odd | 2 | inner |