Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(9,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.j (of order \(10\), degree \(4\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 7x^{14} + 25x^{12} - 57x^{10} + 194x^{8} - 303x^{6} + 235x^{4} - 33x^{2} + 121 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 124.1 | ||
Root | \(-0.972539 + 1.33858i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 605.124 |
Dual form | 605.2.j.g.444.1 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.972539 | − | 1.33858i | −0.687689 | − | 0.946522i | 0.312305 | − | 0.949982i | \(-0.398899\pi\) |
−0.999994 | + | 0.00345950i | \(0.998899\pi\) | |||||||
\(3\) | 1.87813 | − | 0.610243i | 1.08434 | − | 0.352324i | 0.288284 | − | 0.957545i | \(-0.406915\pi\) |
0.796058 | + | 0.605221i | \(0.206915\pi\) | |||||||
\(4\) | −0.227943 | + | 0.701538i | −0.113972 | + | 0.350769i | ||||
\(5\) | −2.02976 | − | 0.938132i | −0.907734 | − | 0.419545i | ||||
\(6\) | −2.64342 | − | 1.92056i | −1.07917 | − | 0.784064i | ||||
\(7\) | −2.13329 | − | 0.693148i | −0.806308 | − | 0.261985i | −0.123275 | − | 0.992373i | \(-0.539340\pi\) |
−0.683033 | + | 0.730387i | \(0.739340\pi\) | |||||||
\(8\) | −1.98645 | + | 0.645437i | −0.702316 | + | 0.228196i | ||||
\(9\) | 0.727943 | − | 0.528882i | 0.242648 | − | 0.176294i | ||||
\(10\) | 0.718246 | + | 3.62937i | 0.227129 | + | 1.14771i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 1.45668i | 0.420508i | ||||||||
\(13\) | −2.17466 | − | 2.99317i | −0.603143 | − | 0.830155i | 0.392849 | − | 0.919603i | \(-0.371490\pi\) |
−0.995991 | + | 0.0894482i | \(0.971490\pi\) | |||||||
\(14\) | 1.14687 | + | 3.52970i | 0.306514 | + | 0.943353i | ||||
\(15\) | −4.38464 | − | 0.523295i | −1.13211 | − | 0.135114i | ||||
\(16\) | 3.98940 | + | 2.89847i | 0.997350 | + | 0.724617i | ||||
\(17\) | −1.30759 | + | 1.79974i | −0.317137 | + | 0.436502i | −0.937591 | − | 0.347741i | \(-0.886949\pi\) |
0.620453 | + | 0.784244i | \(0.286949\pi\) | |||||||
\(18\) | −1.41591 | − | 0.460056i | −0.333732 | − | 0.108436i | ||||
\(19\) | 1.63372 | + | 5.02809i | 0.374802 | + | 1.15352i | 0.943612 | + | 0.331053i | \(0.107404\pi\) |
−0.568810 | + | 0.822469i | \(0.692596\pi\) | |||||||
\(20\) | 1.12080 | − | 1.21011i | 0.250619 | − | 0.270589i | ||||
\(21\) | −4.42960 | −0.966617 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | − | 3.85415i | − | 0.803647i | −0.915717 | − | 0.401823i | \(-0.868377\pi\) | ||
0.915717 | − | 0.401823i | \(-0.131623\pi\) | |||||||
\(24\) | −3.33695 | + | 2.42443i | −0.681152 | + | 0.494886i | ||||
\(25\) | 3.23982 | + | 3.80836i | 0.647963 | + | 0.761672i | ||||
\(26\) | −1.89166 | + | 5.82194i | −0.370986 | + | 1.14178i | ||||
\(27\) | −2.43782 | + | 3.35538i | −0.469159 | + | 0.645743i | ||||
\(28\) | 0.972539 | − | 1.33858i | 0.183793 | − | 0.252969i | ||||
\(29\) | 0.0582308 | − | 0.179216i | 0.0108132 | − | 0.0332796i | −0.945504 | − | 0.325609i | \(-0.894431\pi\) |
0.956318 | + | 0.292330i | \(0.0944305\pi\) | |||||||
\(30\) | 3.56376 | + | 6.37814i | 0.650651 | + | 1.16448i | ||||
\(31\) | −0.555687 | + | 0.403730i | −0.0998043 | + | 0.0725121i | −0.636568 | − | 0.771220i | \(-0.719647\pi\) |
0.536764 | + | 0.843733i | \(0.319647\pi\) | |||||||
\(32\) | − | 3.98166i | − | 0.703866i | ||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 3.68079 | 0.631251 | ||||||||
\(35\) | 3.67979 | + | 3.40823i | 0.621999 | + | 0.576096i | ||||
\(36\) | 0.205101 | + | 0.631235i | 0.0341834 | + | 0.105206i | ||||
\(37\) | −2.46624 | − | 0.801331i | −0.405448 | − | 0.131738i | 0.0991914 | − | 0.995068i | \(-0.468374\pi\) |
−0.504639 | + | 0.863330i | \(0.668374\pi\) | |||||||
\(38\) | 5.14166 | − | 7.07689i | 0.834087 | − | 1.14802i | ||||
\(39\) | −5.91087 | − | 4.29450i | −0.946496 | − | 0.687670i | ||||
\(40\) | 4.63751 | + | 0.553474i | 0.733255 | + | 0.0875119i | ||||
\(41\) | −2.44619 | − | 7.52860i | −0.382031 | − | 1.17577i | −0.938611 | − | 0.344976i | \(-0.887887\pi\) |
0.556581 | − | 0.830793i | \(-0.312113\pi\) | |||||||
\(42\) | 4.30795 | + | 5.92939i | 0.664732 | + | 0.914924i | ||||
\(43\) | − | 8.41368i | − | 1.28307i | −0.767092 | − | 0.641537i | \(-0.778297\pi\) | ||
0.767092 | − | 0.641537i | \(-0.221703\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.97371 | + | 0.390594i | −0.294223 | + | 0.0582263i | ||||
\(46\) | −5.15911 | + | 3.74831i | −0.760669 | + | 0.552659i | ||||
\(47\) | −11.4252 | + | 3.71227i | −1.66654 | + | 0.541491i | −0.982227 | − | 0.187699i | \(-0.939897\pi\) |
−0.684311 | + | 0.729190i | \(0.739897\pi\) | |||||||
\(48\) | 9.26140 | + | 3.00921i | 1.33677 | + | 0.434342i | ||||
\(49\) | −1.59265 | − | 1.15713i | −0.227521 | − | 0.165304i | ||||
\(50\) | 1.94696 | − | 8.04054i | 0.275342 | − | 1.13710i | ||||
\(51\) | −1.35755 | + | 4.17811i | −0.190095 | + | 0.585053i | ||||
\(52\) | 2.59552 | − | 0.843335i | 0.359934 | − | 0.116950i | ||||
\(53\) | −7.43935 | − | 10.2394i | −1.02187 | − | 1.40649i | −0.910882 | − | 0.412667i | \(-0.864597\pi\) |
−0.110991 | − | 0.993821i | \(-0.535403\pi\) | |||||||
\(54\) | 6.86233 | 0.933845 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 4.68506 | 0.626067 | ||||||||
\(57\) | 6.13671 | + | 8.44645i | 0.812827 | + | 1.11876i | ||||
\(58\) | −0.296528 | + | 0.0963477i | −0.0389360 | + | 0.0126511i | ||||
\(59\) | 0.106206 | − | 0.326867i | 0.0138268 | − | 0.0425545i | −0.943905 | − | 0.330217i | \(-0.892878\pi\) |
0.957732 | + | 0.287662i | \(0.0928781\pi\) | |||||||
\(60\) | 1.36656 | − | 2.95671i | 0.176422 | − | 0.381710i | ||||
\(61\) | 1.40233 | + | 1.01885i | 0.179550 | + | 0.130451i | 0.673930 | − | 0.738795i | \(-0.264605\pi\) |
−0.494380 | + | 0.869246i | \(0.664605\pi\) | |||||||
\(62\) | 1.08085 | + | 0.351191i | 0.137269 | + | 0.0446013i | ||||
\(63\) | −1.91951 | + | 0.623686i | −0.241835 | + | 0.0785770i | ||||
\(64\) | 2.64900 | − | 1.92461i | 0.331125 | − | 0.240577i | ||||
\(65\) | 1.60605 | + | 8.11552i | 0.199206 | + | 1.00661i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 0.650461i | − | 0.0794664i | −0.999210 | − | 0.0397332i | \(-0.987349\pi\) | ||
0.999210 | − | 0.0397332i | \(-0.0126508\pi\) | |||||||
\(68\) | −0.964532 | − | 1.32756i | −0.116967 | − | 0.160991i | ||||
\(69\) | −2.35197 | − | 7.23862i | −0.283144 | − | 0.871428i | ||||
\(70\) | 0.983462 | − | 8.24035i | 0.117546 | − | 0.984910i | ||||
\(71\) | −3.75999 | − | 2.73179i | −0.446229 | − | 0.324204i | 0.341876 | − | 0.939745i | \(-0.388938\pi\) |
−0.788105 | + | 0.615541i | \(0.788938\pi\) | |||||||
\(72\) | −1.10466 | + | 1.52044i | −0.130186 | + | 0.179185i | ||||
\(73\) | 8.42484 | + | 2.73740i | 0.986053 | + | 0.320388i | 0.757279 | − | 0.653091i | \(-0.226528\pi\) |
0.228774 | + | 0.973479i | \(0.426528\pi\) | |||||||
\(74\) | 1.32587 | + | 4.08060i | 0.154129 | + | 0.474360i | ||||
\(75\) | 8.40884 | + | 5.17554i | 0.970969 | + | 0.597619i | ||||
\(76\) | −3.89979 | −0.447336 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 12.0888i | 1.36878i | ||||||||
\(79\) | 5.85264 | − | 4.25219i | 0.658473 | − | 0.478409i | −0.207674 | − | 0.978198i | \(-0.566589\pi\) |
0.866147 | + | 0.499789i | \(0.166589\pi\) | |||||||
\(80\) | −5.37836 | − | 9.62576i | −0.601319 | − | 1.07619i | ||||
\(81\) | −3.36512 | + | 10.3568i | −0.373902 | + | 1.15075i | ||||
\(82\) | −7.69865 | + | 10.5963i | −0.850174 | + | 1.17016i | ||||
\(83\) | −1.87013 | + | 2.57401i | −0.205273 | + | 0.282534i | −0.899224 | − | 0.437488i | \(-0.855868\pi\) |
0.693951 | + | 0.720022i | \(0.255868\pi\) | |||||||
\(84\) | 1.00970 | − | 3.10753i | 0.110167 | − | 0.339059i | ||||
\(85\) | 4.34249 | − | 2.42635i | 0.471009 | − | 0.263174i | ||||
\(86\) | −11.2624 | + | 8.18263i | −1.21446 | + | 0.882356i | ||||
\(87\) | − | 0.372127i | − | 0.0398962i | ||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −9.92195 | −1.05172 | −0.525862 | − | 0.850570i | \(-0.676257\pi\) | ||||
−0.525862 | + | 0.850570i | \(0.676257\pi\) | |||||||
\(90\) | 2.44235 | + | 2.26211i | 0.257446 | + | 0.238447i | ||||
\(91\) | 2.56448 | + | 7.89265i | 0.268830 | + | 0.827375i | ||||
\(92\) | 2.70383 | + | 0.878529i | 0.281894 | + | 0.0915930i | ||||
\(93\) | −0.797281 | + | 1.09736i | −0.0826742 | + | 0.113791i | ||||
\(94\) | 16.0806 | + | 11.6833i | 1.65859 | + | 1.20504i | ||||
\(95\) | 1.40095 | − | 11.7384i | 0.143734 | − | 1.20434i | ||||
\(96\) | −2.42978 | − | 7.47810i | −0.247989 | − | 0.763231i | ||||
\(97\) | 1.33316 | + | 1.83494i | 0.135362 | + | 0.186310i | 0.871317 | − | 0.490721i | \(-0.163266\pi\) |
−0.735955 | + | 0.677031i | \(0.763266\pi\) | |||||||
\(98\) | 3.25724i | 0.329031i | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −3.41020 | + | 1.40476i | −0.341020 | + | 0.140476i | ||||
\(101\) | 8.00673 | − | 5.81723i | 0.796699 | − | 0.578836i | −0.113245 | − | 0.993567i | \(-0.536124\pi\) |
0.909944 | + | 0.414731i | \(0.136124\pi\) | |||||||
\(102\) | 6.91303 | − | 2.24618i | 0.684492 | − | 0.222405i | ||||
\(103\) | 9.73989 | + | 3.16468i | 0.959700 | + | 0.311825i | 0.746651 | − | 0.665216i | \(-0.231661\pi\) |
0.213049 | + | 0.977041i | \(0.431661\pi\) | |||||||
\(104\) | 6.25176 | + | 4.54217i | 0.613035 | + | 0.445396i | ||||
\(105\) | 8.99100 | + | 4.15555i | 0.877431 | + | 0.405540i | ||||
\(106\) | −6.47123 | + | 19.9164i | −0.628542 | + | 1.93445i | ||||
\(107\) | −9.55508 | + | 3.10463i | −0.923724 | + | 0.300136i | −0.731994 | − | 0.681311i | \(-0.761410\pi\) |
−0.191731 | + | 0.981448i | \(0.561410\pi\) | |||||||
\(108\) | −1.79824 | − | 2.47506i | −0.173035 | − | 0.238163i | ||||
\(109\) | −8.80173 | −0.843053 | −0.421527 | − | 0.906816i | \(-0.638506\pi\) | ||||
−0.421527 | + | 0.906816i | \(0.638506\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −5.12094 | −0.486058 | ||||||||
\(112\) | −6.50148 | − | 8.94851i | −0.614332 | − | 0.845555i | ||||
\(113\) | −0.220029 | + | 0.0714918i | −0.0206986 | + | 0.00672538i | −0.319348 | − | 0.947638i | \(-0.603464\pi\) |
0.298649 | + | 0.954363i | \(0.403464\pi\) | |||||||
\(114\) | 5.33811 | − | 16.4290i | 0.499960 | − | 1.53872i | ||||
\(115\) | −3.61571 | + | 7.82299i | −0.337166 | + | 0.729498i | ||||
\(116\) | 0.112453 | + | 0.0817022i | 0.0104410 | + | 0.00758586i | ||||
\(117\) | −3.16606 | − | 1.02872i | −0.292703 | − | 0.0951048i | ||||
\(118\) | −0.540828 | + | 0.175726i | −0.0497873 | + | 0.0161769i | ||||
\(119\) | 4.03696 | − | 2.93302i | 0.370068 | − | 0.268870i | ||||
\(120\) | 9.04763 | − | 1.79051i | 0.825932 | − | 0.163451i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | − | 2.86801i | − | 0.259658i | ||||||
\(123\) | −9.18855 | − | 12.6470i | −0.828504 | − | 1.14034i | ||||
\(124\) | −0.156567 | − | 0.481863i | −0.0140601 | − | 0.0432726i | ||||
\(125\) | −3.00329 | − | 10.7694i | −0.268623 | − | 0.963246i | ||||
\(126\) | 2.70165 | + | 1.96286i | 0.240682 | + | 0.174866i | ||||
\(127\) | −1.42852 | + | 1.96619i | −0.126761 | + | 0.174471i | −0.867680 | − | 0.497123i | \(-0.834390\pi\) |
0.740920 | + | 0.671594i | \(0.234390\pi\) | |||||||
\(128\) | −12.7261 | − | 4.13496i | −1.12484 | − | 0.365482i | ||||
\(129\) | −5.13439 | − | 15.8020i | −0.452058 | − | 1.39129i | ||||
\(130\) | 9.30136 | − | 10.0425i | 0.815783 | − | 0.880784i | ||||
\(131\) | −1.58846 | −0.138785 | −0.0693924 | − | 0.997589i | \(-0.522106\pi\) | ||||
−0.0693924 | + | 0.997589i | \(0.522106\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | − | 11.8588i | − | 1.02829i | ||||||
\(134\) | −0.870697 | + | 0.632598i | −0.0752167 | + | 0.0546482i | ||||
\(135\) | 8.09597 | − | 4.52359i | 0.696791 | − | 0.389329i | ||||
\(136\) | 1.43584 | − | 4.41907i | 0.123123 | − | 0.378932i | ||||
\(137\) | 10.9927 | − | 15.1301i | 0.939169 | − | 1.29266i | −0.0170046 | − | 0.999855i | \(-0.505413\pi\) |
0.956174 | − | 0.292800i | \(-0.0945870\pi\) | |||||||
\(138\) | −7.40212 | + | 10.1881i | −0.630111 | + | 0.867273i | ||||
\(139\) | 3.59306 | − | 11.0583i | 0.304759 | − | 0.937953i | −0.675008 | − | 0.737811i | \(-0.735860\pi\) |
0.979767 | − | 0.200142i | \(-0.0641403\pi\) | |||||||
\(140\) | −3.22979 | + | 1.80463i | −0.272967 | + | 0.152519i | ||||
\(141\) | −19.1927 | + | 13.9443i | −1.61632 | + | 1.17432i | ||||
\(142\) | 7.68984i | 0.645317i | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 4.43700 | 0.369750 | ||||||||
\(145\) | −0.286323 | + | 0.309137i | −0.0237778 | + | 0.0256724i | ||||
\(146\) | −4.52925 | − | 13.9396i | −0.374843 | − | 1.15365i | ||||
\(147\) | −3.69733 | − | 1.20134i | −0.304951 | − | 0.0990846i | ||||
\(148\) | 1.12433 | − | 1.54750i | 0.0924191 | − | 0.127204i | ||||
\(149\) | −4.78576 | − | 3.47706i | −0.392065 | − | 0.284852i | 0.374236 | − | 0.927333i | \(-0.377905\pi\) |
−0.766301 | + | 0.642482i | \(0.777905\pi\) | |||||||
\(150\) | −1.25003 | − | 16.2893i | −0.102064 | − | 1.33002i | ||||
\(151\) | −3.94858 | − | 12.1525i | −0.321331 | − | 0.988954i | −0.973070 | − | 0.230511i | \(-0.925960\pi\) |
0.651739 | − | 0.758443i | \(-0.274040\pi\) | |||||||
\(152\) | −6.49062 | − | 8.93357i | −0.526459 | − | 0.724609i | ||||
\(153\) | 2.00167i | 0.161826i | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 1.50666 | − | 0.298166i | 0.121018 | − | 0.0239492i | ||||
\(156\) | 4.36009 | − | 3.16779i | 0.349087 | − | 0.253627i | ||||
\(157\) | 13.6464 | − | 4.43398i | 1.08910 | − | 0.353870i | 0.291202 | − | 0.956662i | \(-0.405945\pi\) |
0.797899 | + | 0.602791i | \(0.205945\pi\) | |||||||
\(158\) | −11.3838 | − | 3.69883i | −0.905649 | − | 0.294263i | ||||
\(159\) | −20.2206 | − | 14.6911i | −1.60360 | − | 1.16508i | ||||
\(160\) | −3.73533 | + | 8.08181i | −0.295304 | + | 0.638923i | ||||
\(161\) | −2.67150 | + | 8.22203i | −0.210544 | + | 0.647986i | ||||
\(162\) | 17.1361 | − | 5.56786i | 1.34634 | − | 0.437452i | ||||
\(163\) | 2.13199 | + | 2.93443i | 0.166990 | + | 0.229843i | 0.884308 | − | 0.466903i | \(-0.154630\pi\) |
−0.717318 | + | 0.696746i | \(0.754630\pi\) | |||||||
\(164\) | 5.83919 | 0.455964 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 5.26430 | 0.408589 | ||||||||
\(167\) | 2.24575 | + | 3.09101i | 0.173781 | + | 0.239190i | 0.887019 | − | 0.461733i | \(-0.152772\pi\) |
−0.713238 | + | 0.700922i | \(0.752772\pi\) | |||||||
\(168\) | 8.79917 | − | 2.85902i | 0.678871 | − | 0.220578i | ||||
\(169\) | −0.212666 | + | 0.654519i | −0.0163589 | + | 0.0503476i | ||||
\(170\) | −7.47111 | − | 3.45307i | −0.573008 | − | 0.264838i | ||||
\(171\) | 3.84852 | + | 2.79611i | 0.294304 | + | 0.213824i | ||||
\(172\) | 5.90252 | + | 1.91784i | 0.450063 | + | 0.146234i | ||||
\(173\) | 2.00401 | − | 0.651143i | 0.152362 | − | 0.0495055i | −0.231843 | − | 0.972753i | \(-0.574476\pi\) |
0.384205 | + | 0.923248i | \(0.374476\pi\) | |||||||
\(174\) | −0.498123 | + | 0.361908i | −0.0377626 | + | 0.0274362i | ||||
\(175\) | −4.27171 | − | 10.3700i | −0.322911 | − | 0.783899i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | − | 0.678711i | − | 0.0510151i | ||||||
\(178\) | 9.64948 | + | 13.2814i | 0.723259 | + | 0.995481i | ||||
\(179\) | −1.55249 | − | 4.77808i | −0.116039 | − | 0.357131i | 0.876124 | − | 0.482087i | \(-0.160121\pi\) |
−0.992162 | + | 0.124956i | \(0.960121\pi\) | |||||||
\(180\) | 0.175878 | − | 1.47366i | 0.0131091 | − | 0.109840i | ||||
\(181\) | 12.6592 | + | 9.19743i | 0.940949 | + | 0.683640i | 0.948649 | − | 0.316331i | \(-0.102451\pi\) |
−0.00769972 | + | 0.999970i | \(0.502451\pi\) | |||||||
\(182\) | 8.07093 | − | 11.1087i | 0.598257 | − | 0.823430i | ||||
\(183\) | 3.25552 | + | 1.05778i | 0.240655 | + | 0.0781934i | ||||
\(184\) | 2.48761 | + | 7.65608i | 0.183389 | + | 0.564414i | ||||
\(185\) | 4.25411 | + | 3.94017i | 0.312769 | + | 0.289687i | ||||
\(186\) | 2.24430 | 0.164560 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | − | 8.86140i | − | 0.646284i | ||||||
\(189\) | 7.52636 | − | 5.46822i | 0.547462 | − | 0.397754i | ||||
\(190\) | −17.0754 | + | 9.54079i | −1.23878 | + | 0.692162i | ||||
\(191\) | 0.962852 | − | 2.96335i | 0.0696695 | − | 0.214421i | −0.910160 | − | 0.414258i | \(-0.864041\pi\) |
0.979829 | + | 0.199837i | \(0.0640413\pi\) | |||||||
\(192\) | 3.80070 | − | 5.23122i | 0.274292 | − | 0.377530i | ||||
\(193\) | 5.66412 | − | 7.79599i | 0.407712 | − | 0.561168i | −0.554946 | − | 0.831886i | \(-0.687261\pi\) |
0.962659 | + | 0.270718i | \(0.0872612\pi\) | |||||||
\(194\) | 1.15967 | − | 3.56910i | 0.0832595 | − | 0.256246i | ||||
\(195\) | 7.96881 | + | 14.2620i | 0.570659 | + | 1.02132i | ||||
\(196\) | 1.17480 | − | 0.853543i | 0.0839143 | − | 0.0609673i | ||||
\(197\) | 14.3974i | 1.02577i | 0.858457 | + | 0.512885i | \(0.171423\pi\) | ||||
−0.858457 | + | 0.512885i | \(0.828577\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −14.7978 | −1.04899 | −0.524493 | − | 0.851415i | \(-0.675745\pi\) | ||||
−0.524493 | + | 0.851415i | \(0.675745\pi\) | |||||||
\(200\) | −8.89379 | − | 5.47402i | −0.628886 | − | 0.387071i | ||||
\(201\) | −0.396939 | − | 1.22165i | −0.0279979 | − | 0.0861688i | ||||
\(202\) | −15.5737 | − | 5.06020i | −1.09576 | − | 0.356035i | ||||
\(203\) | −0.248446 | + | 0.341957i | −0.0174375 | + | 0.0240007i | ||||
\(204\) | −2.62166 | − | 1.90475i | −0.183553 | − | 0.133359i | ||||
\(205\) | −2.09765 | + | 17.5761i | −0.146506 | + | 1.22757i | ||||
\(206\) | −5.23623 | − | 16.1154i | −0.364825 | − | 1.12282i | ||||
\(207\) | −2.03839 | − | 2.80561i | −0.141678 | − | 0.195003i | ||||
\(208\) | − | 18.2441i | − | 1.26500i | ||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −3.18154 | − | 16.0766i | −0.219547 | − | 1.10939i | ||||
\(211\) | −5.47824 | + | 3.98017i | −0.377137 | + | 0.274006i | −0.760164 | − | 0.649731i | \(-0.774882\pi\) |
0.383027 | + | 0.923737i | \(0.374882\pi\) | |||||||
\(212\) | 8.87907 | − | 2.88498i | 0.609817 | − | 0.198141i | ||||
\(213\) | −8.72883 | − | 2.83617i | −0.598089 | − | 0.194331i | ||||
\(214\) | 13.4485 | + | 9.77090i | 0.919320 | + | 0.667925i | ||||
\(215\) | −7.89315 | + | 17.0777i | −0.538308 | + | 1.16469i | ||||
\(216\) | 2.67693 | − | 8.23875i | 0.182142 | − | 0.560576i | ||||
\(217\) | 1.46529 | − | 0.476100i | 0.0994701 | − | 0.0323198i | ||||
\(218\) | 8.56003 | + | 11.7819i | 0.579758 | + | 0.797969i | ||||
\(219\) | 17.4935 | 1.18210 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 8.23051 | 0.553644 | ||||||||
\(222\) | 4.98031 | + | 6.85481i | 0.334257 | + | 0.460065i | ||||
\(223\) | −8.29062 | + | 2.69379i | −0.555181 | + | 0.180389i | −0.573152 | − | 0.819449i | \(-0.694279\pi\) |
0.0179708 | + | 0.999839i | \(0.494279\pi\) | |||||||
\(224\) | −2.75988 | + | 8.49404i | −0.184402 | + | 0.567532i | ||||
\(225\) | 4.37257 | + | 1.05879i | 0.291505 | + | 0.0705860i | ||||
\(226\) | 0.309684 | + | 0.224999i | 0.0205999 | + | 0.0149667i | ||||
\(227\) | −3.62109 | − | 1.17656i | −0.240340 | − | 0.0780912i | 0.186370 | − | 0.982480i | \(-0.440328\pi\) |
−0.426710 | + | 0.904388i | \(0.640328\pi\) | |||||||
\(228\) | −7.32433 | + | 2.37982i | −0.485065 | + | 0.157607i | ||||
\(229\) | −2.19540 | + | 1.59505i | −0.145076 | + | 0.105404i | −0.657956 | − | 0.753056i | \(-0.728579\pi\) |
0.512880 | + | 0.858461i | \(0.328579\pi\) | |||||||
\(230\) | 13.9881 | − | 2.76823i | 0.922351 | − | 0.182532i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.393588i | 0.0258403i | ||||||||
\(233\) | 6.17808 | + | 8.50340i | 0.404740 | + | 0.557076i | 0.961926 | − | 0.273312i | \(-0.0881190\pi\) |
−0.557186 | + | 0.830388i | \(0.688119\pi\) | |||||||
\(234\) | 1.70209 | + | 5.23851i | 0.111269 | + | 0.342452i | ||||
\(235\) | 26.6730 | + | 3.18334i | 1.73995 | + | 0.207658i | ||||
\(236\) | 0.205101 | + | 0.149014i | 0.0133509 | + | 0.00970001i | ||||
\(237\) | 8.39717 | − | 11.5577i | 0.545455 | − | 0.750755i | ||||
\(238\) | −7.85220 | − | 2.55133i | −0.508983 | − | 0.165378i | ||||
\(239\) | 6.19258 | + | 19.0588i | 0.400565 | + | 1.23281i | 0.924542 | + | 0.381079i | \(0.124448\pi\) |
−0.523978 | + | 0.851732i | \(0.675552\pi\) | |||||||
\(240\) | −15.9753 | − | 14.7964i | −1.03120 | − | 0.955102i | ||||
\(241\) | −28.4450 | −1.83230 | −0.916152 | − | 0.400832i | \(-0.868721\pi\) | ||||
−0.916152 | + | 0.400832i | \(0.868721\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 9.06251i | 0.581361i | ||||||||
\(244\) | −1.03442 | + | 0.751547i | −0.0662217 | + | 0.0481129i | ||||
\(245\) | 2.14715 | + | 3.84280i | 0.137176 | + | 0.245507i | ||||
\(246\) | −7.99280 | + | 24.5993i | −0.509602 | + | 1.56839i | ||||
\(247\) | 11.4971 | − | 15.8244i | 0.731543 | − | 1.00688i | ||||
\(248\) | 0.843262 | − | 1.16065i | 0.0535472 | − | 0.0737014i | ||||
\(249\) | −1.94158 | + | 5.97557i | −0.123043 | + | 0.378687i | ||||
\(250\) | −11.4950 | + | 14.4938i | −0.727005 | + | 0.916670i | ||||
\(251\) | 19.2845 | − | 14.0110i | 1.21723 | − | 0.884369i | 0.221362 | − | 0.975192i | \(-0.428950\pi\) |
0.995867 | + | 0.0908228i | \(0.0289497\pi\) | |||||||
\(252\) | − | 1.48877i | − | 0.0937838i | ||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 4.02120 | 0.252313 | ||||||||
\(255\) | 6.67512 | − | 7.20698i | 0.418012 | − | 0.451319i | ||||
\(256\) | 4.81797 | + | 14.8282i | 0.301123 | + | 0.926761i | ||||
\(257\) | 23.4686 | + | 7.62540i | 1.46393 | + | 0.475660i | 0.929268 | − | 0.369407i | \(-0.120439\pi\) |
0.534662 | + | 0.845066i | \(0.320439\pi\) | |||||||
\(258\) | −16.1590 | + | 22.2409i | −1.00601 | + | 1.38466i | ||||
\(259\) | 4.70577 | + | 3.41894i | 0.292402 | + | 0.212443i | ||||
\(260\) | −6.05943 | − | 0.723175i | −0.375790 | − | 0.0448494i | ||||
\(261\) | −0.0523954 | − | 0.161256i | −0.00324319 | − | 0.00998152i | ||||
\(262\) | 1.54484 | + | 2.12629i | 0.0954407 | + | 0.131363i | ||||
\(263\) | 5.44098i | 0.335505i | 0.985829 | + | 0.167753i | \(0.0536510\pi\) | ||||
−0.985829 | + | 0.167753i | \(0.946349\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 5.49416 | + | 27.7625i | 0.337504 | + | 1.70544i | ||||
\(266\) | −15.8740 | + | 11.5331i | −0.973296 | + | 0.707141i | ||||
\(267\) | −18.6348 | + | 6.05480i | −1.14043 | + | 0.370548i | ||||
\(268\) | 0.456323 | + | 0.148268i | 0.0278743 | + | 0.00905692i | ||||
\(269\) | −5.42492 | − | 3.94143i | −0.330763 | − | 0.240314i | 0.409991 | − | 0.912089i | \(-0.365532\pi\) |
−0.740754 | + | 0.671776i | \(0.765532\pi\) | |||||||
\(270\) | −13.9289 | − | 6.43778i | −0.847684 | − | 0.391791i | ||||
\(271\) | 1.56357 | − | 4.81219i | 0.0949804 | − | 0.292319i | −0.892268 | − | 0.451506i | \(-0.850887\pi\) |
0.987249 | + | 0.159186i | \(0.0508870\pi\) | |||||||
\(272\) | −10.4330 | + | 3.38989i | −0.632594 | + | 0.205542i | ||||
\(273\) | 9.63287 | + | 13.2585i | 0.583008 | + | 0.802442i | ||||
\(274\) | −30.9438 | −1.86938 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 5.61428 | 0.337940 | ||||||||
\(277\) | −6.28559 | − | 8.65138i | −0.377665 | − | 0.519811i | 0.577299 | − | 0.816533i | \(-0.304107\pi\) |
−0.954964 | + | 0.296722i | \(0.904107\pi\) | |||||||
\(278\) | −18.2969 | + | 5.94501i | −1.09737 | + | 0.356558i | ||||
\(279\) | −0.190983 | + | 0.587785i | −0.0114339 | + | 0.0351898i | ||||
\(280\) | −9.50952 | − | 4.39520i | −0.568303 | − | 0.262664i | ||||
\(281\) | −11.0995 | − | 8.06425i | −0.662140 | − | 0.481073i | 0.205245 | − | 0.978711i | \(-0.434201\pi\) |
−0.867385 | + | 0.497638i | \(0.834201\pi\) | |||||||
\(282\) | 37.3313 | + | 12.1297i | 2.22304 | + | 0.722311i | ||||
\(283\) | 20.8940 | − | 6.78888i | 1.24202 | − | 0.403557i | 0.386965 | − | 0.922094i | \(-0.373523\pi\) |
0.855055 | + | 0.518537i | \(0.173523\pi\) | |||||||
\(284\) | 2.77352 | − | 2.01508i | 0.164578 | − | 0.119573i | ||||
\(285\) | −4.53213 | − | 22.9013i | −0.268460 | − | 1.35655i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 17.7563i | 1.04812i | ||||||||
\(288\) | −2.10583 | − | 2.89843i | −0.124087 | − | 0.170791i | ||||
\(289\) | 3.72400 | + | 11.4613i | 0.219059 | + | 0.674194i | ||||
\(290\) | 0.692265 | + | 0.0826199i | 0.0406512 | + | 0.00485161i | ||||
\(291\) | 3.62361 | + | 2.63271i | 0.212420 | + | 0.154332i | ||||
\(292\) | −3.84078 | + | 5.28637i | −0.224764 | + | 0.309362i | ||||
\(293\) | 13.3510 | + | 4.33799i | 0.779971 | + | 0.253428i | 0.671828 | − | 0.740707i | \(-0.265509\pi\) |
0.108143 | + | 0.994135i | \(0.465509\pi\) | |||||||
\(294\) | 1.98771 | + | 6.11754i | 0.115926 | + | 0.356782i | ||||
\(295\) | −0.522216 | + | 0.563825i | −0.0304046 | + | 0.0328272i | ||||
\(296\) | 5.41627 | 0.314815 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 9.78772i | 0.566988i | ||||||||
\(299\) | −11.5361 | + | 8.38148i | −0.667151 | + | 0.484714i | ||||
\(300\) | −5.54757 | + | 4.71939i | −0.320289 | + | 0.272474i | ||||
\(301\) | −5.83193 | + | 17.9488i | −0.336147 | + | 1.03455i | ||||
\(302\) | −12.4270 | + | 17.1042i | −0.715091 | + | 0.984239i | ||||
\(303\) | 11.4878 | − | 15.8116i | 0.659956 | − | 0.908352i | ||||
\(304\) | −8.05617 | + | 24.7943i | −0.462053 | + | 1.42205i | ||||
\(305\) | −1.89057 | − | 3.38360i | −0.108254 | − | 0.193744i | ||||
\(306\) | 2.67941 | − | 1.94670i | 0.153172 | − | 0.111286i | ||||
\(307\) | 6.86951i | 0.392064i | 0.980598 | + | 0.196032i | \(0.0628056\pi\) | ||||
−0.980598 | + | 0.196032i | \(0.937194\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 20.2241 | 1.15051 | ||||||||
\(310\) | −1.86441 | − | 1.72681i | −0.105891 | − | 0.0980765i | ||||
\(311\) | −1.70008 | − | 5.23231i | −0.0964027 | − | 0.296697i | 0.891214 | − | 0.453583i | \(-0.149854\pi\) |
−0.987617 | + | 0.156886i | \(0.949854\pi\) | |||||||
\(312\) | 14.5135 | + | 4.71571i | 0.821664 | + | 0.266975i | ||||
\(313\) | −8.36536 | + | 11.5139i | −0.472838 | + | 0.650806i | −0.977109 | − | 0.212740i | \(-0.931761\pi\) |
0.504271 | + | 0.863546i | \(0.331761\pi\) | |||||||
\(314\) | −19.2069 | − | 13.9546i | −1.08391 | − | 0.787506i | ||||
\(315\) | 4.48123 | + | 0.534822i | 0.252489 | + | 0.0301338i | ||||
\(316\) | 1.64900 | + | 5.07510i | 0.0927636 | + | 0.285497i | ||||
\(317\) | −10.9836 | − | 15.1176i | −0.616900 | − | 0.849090i | 0.380222 | − | 0.924895i | \(-0.375847\pi\) |
−0.997123 | + | 0.0758046i | \(0.975847\pi\) | |||||||
\(318\) | 41.3547i | 2.31906i | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −7.18237 | + | 1.42138i | −0.401506 | + | 0.0794575i | ||||
\(321\) | −16.0511 | + | 11.6618i | −0.895888 | + | 0.650900i | ||||
\(322\) | 13.6040 | − | 4.42021i | 0.758122 | − | 0.246329i | ||||
\(323\) | −11.1855 | − | 3.63439i | −0.622379 | − | 0.202223i | ||||
\(324\) | −6.49860 | − | 4.72151i | −0.361033 | − | 0.262306i | ||||
\(325\) | 4.35354 | − | 17.9792i | 0.241491 | − | 0.997307i | ||||
\(326\) | 1.85454 | − | 5.70770i | 0.102714 | − | 0.316120i | ||||
\(327\) | −16.5308 | + | 5.37120i | −0.914158 | + | 0.297028i | ||||
\(328\) | 9.71847 | + | 13.3763i | 0.536613 | + | 0.738584i | ||||
\(329\) | 26.9464 | 1.48560 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0.468249 | 0.0257373 | 0.0128686 | − | 0.999917i | \(-0.495904\pi\) | ||||
0.0128686 | + | 0.999917i | \(0.495904\pi\) | |||||||
\(332\) | −1.37948 | − | 1.89869i | −0.0757089 | − | 0.104204i | ||||
\(333\) | −2.21909 | + | 0.721027i | −0.121606 | + | 0.0395120i | ||||
\(334\) | 1.95350 | − | 6.01226i | 0.106891 | − | 0.328976i | ||||
\(335\) | −0.610218 | + | 1.32028i | −0.0333398 | + | 0.0721344i | ||||
\(336\) | −17.6714 | − | 12.8390i | −0.964055 | − | 0.700427i | ||||
\(337\) | −32.4189 | − | 10.5335i | −1.76597 | − | 0.573798i | −0.768177 | − | 0.640238i | \(-0.778836\pi\) |
−0.997790 | + | 0.0664400i | \(0.978836\pi\) | |||||||
\(338\) | 1.08295 | − | 0.351873i | 0.0589050 | − | 0.0191394i | ||||
\(339\) | −0.369617 | + | 0.268542i | −0.0200748 | + | 0.0145852i | ||||
\(340\) | 0.712333 | + | 3.59949i | 0.0386317 | + | 0.195210i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | − | 7.87090i | − | 0.425610i | ||||||
\(343\) | 11.8246 | + | 16.2752i | 0.638470 | + | 0.878779i | ||||
\(344\) | 5.43050 | + | 16.7134i | 0.292793 | + | 0.901124i | ||||
\(345\) | −2.01686 | + | 16.8991i | −0.108584 | + | 0.909816i | ||||
\(346\) | −2.82059 | − | 2.04928i | −0.151636 | − | 0.110170i | ||||
\(347\) | −2.11187 | + | 2.90673i | −0.113371 | + | 0.156042i | −0.861932 | − | 0.507025i | \(-0.830745\pi\) |
0.748561 | + | 0.663066i | \(0.230745\pi\) | |||||||
\(348\) | 0.261061 | + | 0.0848239i | 0.0139943 | + | 0.00454704i | ||||
\(349\) | −1.96878 | − | 6.05927i | −0.105386 | − | 0.324346i | 0.884435 | − | 0.466664i | \(-0.154544\pi\) |
−0.989821 | + | 0.142319i | \(0.954544\pi\) | |||||||
\(350\) | −9.72672 | + | 15.8033i | −0.519915 | + | 0.844721i | ||||
\(351\) | 15.3446 | 0.819037 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 12.1971i | 0.649186i | 0.945854 | + | 0.324593i | \(0.105227\pi\) | ||||
−0.945854 | + | 0.324593i | \(0.894773\pi\) | |||||||
\(354\) | −0.908513 | + | 0.660073i | −0.0482869 | + | 0.0350825i | ||||
\(355\) | 5.06908 | + | 9.07224i | 0.269039 | + | 0.481505i | ||||
\(356\) | 2.26164 | − | 6.96062i | 0.119867 | − | 0.368912i | ||||
\(357\) | 5.79210 | − | 7.97214i | 0.306550 | − | 0.421930i | ||||
\(358\) | −4.88601 | + | 6.72501i | −0.258234 | + | 0.355428i | ||||
\(359\) | 7.45190 | − | 22.9346i | 0.393296 | − | 1.21044i | −0.536984 | − | 0.843593i | \(-0.680436\pi\) |
0.930280 | − | 0.366850i | \(-0.119564\pi\) | |||||||
\(360\) | 3.66857 | − | 2.04980i | 0.193351 | − | 0.108034i | ||||
\(361\) | −7.24126 | + | 5.26109i | −0.381119 | + | 0.276899i | ||||
\(362\) | − | 25.8902i | − | 1.36076i | ||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −6.12155 | −0.320856 | ||||||||
\(365\) | −14.5323 | − | 13.4599i | −0.760657 | − | 0.704522i | ||||
\(366\) | −1.75019 | − | 5.38652i | −0.0914837 | − | 0.281558i | ||||
\(367\) | −19.3920 | − | 6.30083i | −1.01225 | − | 0.328901i | −0.244501 | − | 0.969649i | \(-0.578624\pi\) |
−0.767751 | + | 0.640748i | \(0.778624\pi\) | |||||||
\(368\) | 11.1711 | − | 15.3758i | 0.582336 | − | 0.801517i | ||||
\(369\) | −5.76243 | − | 4.18665i | −0.299980 | − | 0.217948i | ||||
\(370\) | 1.13696 | − | 9.52646i | 0.0591075 | − | 0.495257i | ||||
\(371\) | 8.77288 | + | 27.0002i | 0.455465 | + | 1.40178i | ||||
\(372\) | −0.588107 | − | 0.809460i | −0.0304919 | − | 0.0419685i | ||||
\(373\) | 7.51997i | 0.389369i | 0.980866 | + | 0.194685i | \(0.0623684\pi\) | ||||
−0.980866 | + | 0.194685i | \(0.937632\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −12.2125 | − | 18.3937i | −0.630653 | − | 0.949845i | ||||
\(376\) | 20.2996 | − | 14.7485i | 1.04687 | − | 0.760596i | ||||
\(377\) | −0.663056 | + | 0.215440i | −0.0341491 | + | 0.0110957i | ||||
\(378\) | −14.6393 | − | 4.75661i | −0.752967 | − | 0.244654i | ||||
\(379\) | 18.7621 | + | 13.6315i | 0.963745 | + | 0.700202i | 0.954017 | − | 0.299751i | \(-0.0969036\pi\) |
0.00972738 | + | 0.999953i | \(0.496904\pi\) | |||||||
\(380\) | 7.91562 | + | 3.65852i | 0.406063 | + | 0.187678i | ||||
\(381\) | −1.48310 | + | 4.56452i | −0.0759816 | + | 0.233847i | ||||
\(382\) | −4.90311 | + | 1.59312i | −0.250865 | + | 0.0815109i | ||||
\(383\) | 1.43443 | + | 1.97432i | 0.0732958 | + | 0.100883i | 0.844091 | − | 0.536200i | \(-0.180141\pi\) |
−0.770795 | + | 0.637083i | \(0.780141\pi\) | |||||||
\(384\) | −26.4246 | −1.34848 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −15.9442 | −0.811537 | ||||||||
\(387\) | −4.44984 | − | 6.12468i | −0.226198 | − | 0.311335i | ||||
\(388\) | −1.59116 | + | 0.517000i | −0.0807791 | + | 0.0262467i | ||||
\(389\) | −10.4983 | + | 32.3104i | −0.532284 | + | 1.63820i | 0.217162 | + | 0.976136i | \(0.430320\pi\) |
−0.749446 | + | 0.662066i | \(0.769680\pi\) | |||||||
\(390\) | 11.3409 | − | 24.5372i | 0.574267 | − | 1.24249i | ||||
\(391\) | 6.93649 | + | 5.03966i | 0.350794 | + | 0.254866i | ||||
\(392\) | 3.91057 | + | 1.27062i | 0.197513 | + | 0.0641760i | ||||
\(393\) | −2.98335 | + | 0.969349i | −0.150490 | + | 0.0488972i | ||||
\(394\) | 19.2721 | − | 14.0020i | 0.970915 | − | 0.705411i | ||||
\(395\) | −15.8685 | + | 3.14036i | −0.798433 | + | 0.158009i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 27.4961i | − | 1.37999i | −0.723814 | − | 0.689995i | \(-0.757613\pi\) | ||
0.723814 | − | 0.689995i | \(-0.242387\pi\) | |||||||
\(398\) | 14.3914 | + | 19.8081i | 0.721376 | + | 0.992888i | ||||
\(399\) | −7.23674 | − | 22.2724i | −0.362290 | − | 1.11501i | ||||
\(400\) | 1.88651 | + | 24.5836i | 0.0943257 | + | 1.22918i | ||||
\(401\) | 1.52696 | + | 1.10940i | 0.0762527 | + | 0.0554008i | 0.625259 | − | 0.780418i | \(-0.284994\pi\) |
−0.549006 | + | 0.835819i | \(0.684994\pi\) | |||||||
\(402\) | −1.24925 | + | 1.71944i | −0.0623068 | + | 0.0857579i | ||||
\(403\) | 2.41686 | + | 0.785286i | 0.120392 | + | 0.0391179i | ||||
\(404\) | 2.25592 | + | 6.94302i | 0.112236 | + | 0.345428i | ||||
\(405\) | 16.5464 | − | 17.8648i | 0.822196 | − | 0.887708i | ||||
\(406\) | 0.699363 | 0.0347088 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | − | 9.17582i | − | 0.454271i | ||||||
\(409\) | −10.9682 | + | 7.96888i | −0.542344 | + | 0.394036i | −0.824955 | − | 0.565199i | \(-0.808799\pi\) |
0.282611 | + | 0.959235i | \(0.408799\pi\) | |||||||
\(410\) | 25.5671 | − | 14.2855i | 1.26267 | − | 0.705511i | ||||
\(411\) | 11.4127 | − | 35.1247i | 0.562947 | − | 1.73257i | ||||
\(412\) | −4.44029 | + | 6.11153i | −0.218757 | + | 0.301094i | ||||
\(413\) | −0.453134 | + | 0.623686i | −0.0222973 | + | 0.0306896i | ||||
\(414\) | −1.77313 | + | 5.45712i | −0.0871444 | + | 0.268203i | ||||
\(415\) | 6.21067 | − | 3.47019i | 0.304870 | − | 0.170345i | ||||
\(416\) | −11.9178 | + | 8.65878i | −0.584317 | + | 0.424531i | ||||
\(417\) | − | 22.9616i | − | 1.12444i | ||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 22.1368 | 1.08145 | 0.540727 | − | 0.841198i | \(-0.318149\pi\) | ||||
0.540727 | + | 0.841198i | \(0.318149\pi\) | |||||||
\(420\) | −4.96471 | + | 5.36029i | −0.242253 | + | 0.261555i | ||||
\(421\) | 5.53219 | + | 17.0263i | 0.269623 | + | 0.829813i | 0.990592 | + | 0.136846i | \(0.0436967\pi\) |
−0.720970 | + | 0.692967i | \(0.756303\pi\) | |||||||
\(422\) | 10.6556 | + | 3.46221i | 0.518706 | + | 0.168538i | ||||
\(423\) | −6.35355 | + | 8.74491i | −0.308920 | + | 0.425192i | ||||
\(424\) | 21.3868 | + | 15.5384i | 1.03863 | + | 0.754612i | ||||
\(425\) | −11.0904 | + | 0.851066i | −0.537965 | + | 0.0412828i | ||||
\(426\) | 4.69267 | + | 14.4426i | 0.227361 | + | 0.699744i | ||||
\(427\) | −2.28536 | − | 3.14553i | −0.110596 | − | 0.152223i | ||||
\(428\) | − | 7.41093i | − | 0.358221i | ||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 30.5364 | − | 6.04310i | 1.47259 | − | 0.291424i | ||||
\(431\) | 27.0581 | − | 19.6589i | 1.30334 | − | 0.946934i | 0.303361 | − | 0.952876i | \(-0.401891\pi\) |
0.999982 | + | 0.00594140i | \(0.00189122\pi\) | |||||||
\(432\) | −19.4509 | + | 6.31998i | −0.935832 | + | 0.304070i | ||||
\(433\) | −29.9501 | − | 9.73138i | −1.43931 | − | 0.467660i | −0.517628 | − | 0.855606i | \(-0.673185\pi\) |
−0.921682 | + | 0.387946i | \(0.873185\pi\) | |||||||
\(434\) | −2.06235 | − | 1.49838i | −0.0989958 | − | 0.0719247i | ||||
\(435\) | −0.349104 | + | 0.755327i | −0.0167383 | + | 0.0362151i | ||||
\(436\) | 2.00630 | − | 6.17475i | 0.0960842 | − | 0.295717i | ||||
\(437\) | 19.3790 | − | 6.29662i | 0.927024 | − | 0.301208i | ||||
\(438\) | −17.0131 | − | 23.4165i | −0.812916 | − | 1.11888i | ||||
\(439\) | 35.6208 | 1.70009 | 0.850045 | − | 0.526710i | \(-0.176575\pi\) | ||||
0.850045 | + | 0.526710i | \(0.176575\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −1.77134 | −0.0843495 | ||||||||
\(442\) | −8.00448 | − | 11.0172i | −0.380734 | − | 0.524036i | ||||
\(443\) | 22.3380 | − | 7.25806i | 1.06131 | − | 0.344841i | 0.274213 | − | 0.961669i | \(-0.411583\pi\) |
0.787098 | + | 0.616828i | \(0.211583\pi\) | |||||||
\(444\) | 1.16728 | − | 3.59253i | 0.0553969 | − | 0.170494i | ||||
\(445\) | 20.1391 | + | 9.30810i | 0.954686 | + | 0.441246i | ||||
\(446\) | 11.6688 | + | 8.47789i | 0.552534 | + | 0.401439i | ||||
\(447\) | −11.1102 | − | 3.60991i | −0.525492 | − | 0.170743i | ||||
\(448\) | −6.98513 | + | 2.26961i | −0.330016 | + | 0.107229i | ||||
\(449\) | −25.3966 | + | 18.4517i | −1.19854 | + | 0.870792i | −0.994141 | − | 0.108096i | \(-0.965525\pi\) |
−0.204401 | + | 0.978887i | \(0.565525\pi\) | |||||||
\(450\) | −2.83522 | − | 6.88277i | −0.133653 | − | 0.324457i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | − | 0.170655i | − | 0.00802692i | ||||||
\(453\) | −14.8319 | − | 20.4144i | −0.696864 | − | 0.959151i | ||||
\(454\) | 1.94672 | + | 5.99138i | 0.0913640 | + | 0.281190i | ||||
\(455\) | 2.19909 | − | 18.4260i | 0.103095 | − | 0.863823i | ||||
\(456\) | −17.6419 | − | 12.8176i | −0.826158 | − | 0.600239i | ||||
\(457\) | −22.9887 | + | 31.6412i | −1.07536 | + | 1.48011i | −0.210839 | + | 0.977521i | \(0.567620\pi\) |
−0.864525 | + | 0.502591i | \(0.832380\pi\) | |||||||
\(458\) | 4.27023 | + | 1.38748i | 0.199535 | + | 0.0648328i | ||||
\(459\) | −2.85115 | − | 8.77492i | −0.133080 | − | 0.409578i | ||||
\(460\) | −4.66395 | − | 4.31975i | −0.217458 | − | 0.201409i | ||||
\(461\) | 8.88399 | 0.413769 | 0.206884 | − | 0.978365i | \(-0.433668\pi\) | ||||
0.206884 | + | 0.978365i | \(0.433668\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 4.21081i | − | 0.195693i | −0.995202 | − | 0.0978464i | \(-0.968805\pi\) | ||
0.995202 | − | 0.0978464i | \(-0.0311954\pi\) | |||||||
\(464\) | 0.751758 | − | 0.546184i | 0.0348995 | − | 0.0253560i | ||||
\(465\) | 2.64776 | − | 1.47942i | 0.122787 | − | 0.0686067i | ||||
\(466\) | 5.37410 | − | 16.5398i | 0.248950 | − | 0.766190i | ||||
\(467\) | −3.95488 | + | 5.44342i | −0.183010 | + | 0.251891i | −0.890658 | − | 0.454673i | \(-0.849756\pi\) |
0.707649 | + | 0.706565i | \(0.249756\pi\) | |||||||
\(468\) | 1.44337 | − | 1.98662i | 0.0667196 | − | 0.0918317i | ||||
\(469\) | −0.450866 | + | 1.38762i | −0.0208190 | + | 0.0640744i | ||||
\(470\) | −21.6793 | − | 38.8000i | −0.999993 | − | 1.78971i | ||||
\(471\) | 22.9240 | − | 16.6552i | 1.05628 | − | 0.767433i | ||||
\(472\) | 0.717854i | 0.0330419i | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −23.6376 | −1.08571 | ||||||||
\(475\) | −13.8558 | + | 22.5119i | −0.635747 | + | 1.03292i | ||||
\(476\) | 1.13743 | + | 3.50064i | 0.0521339 | + | 0.160452i | ||||
\(477\) | −10.8309 | − | 3.51916i | −0.495911 | − | 0.161131i | ||||
\(478\) | 19.4893 | − | 26.8247i | 0.891420 | − | 1.22693i | ||||
\(479\) | −16.8352 | − | 12.2315i | −0.769218 | − | 0.558870i | 0.132506 | − | 0.991182i | \(-0.457698\pi\) |
−0.901724 | + | 0.432313i | \(0.857698\pi\) | |||||||
\(480\) | −2.08358 | + | 17.4582i | −0.0951022 | + | 0.796853i | ||||
\(481\) | 2.96473 | + | 9.12450i | 0.135180 | + | 0.416041i | ||||
\(482\) | 27.6639 | + | 38.0760i | 1.26005 | + | 1.73432i | ||||
\(483\) | 17.0723i | 0.776818i | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −0.984576 | − | 4.97516i | −0.0447073 | − | 0.225910i | ||||
\(486\) | 12.1309 | − | 8.81365i | 0.550271 | − | 0.399795i | ||||
\(487\) | 15.0071 | − | 4.87610i | 0.680036 | − | 0.220957i | 0.0514249 | − | 0.998677i | \(-0.483624\pi\) |
0.628611 | + | 0.777720i | \(0.283624\pi\) | |||||||
\(488\) | −3.44327 | − | 1.11879i | −0.155869 | − | 0.0506450i | ||||
\(489\) | 5.79489 | + | 4.21023i | 0.262054 | + | 0.190393i | ||||
\(490\) | 3.05572 | − | 6.61141i | 0.138044 | − | 0.298673i | ||||
\(491\) | −5.97340 | + | 18.3842i | −0.269576 | + | 0.829669i | 0.721028 | + | 0.692906i | \(0.243670\pi\) |
−0.990604 | + | 0.136763i | \(0.956330\pi\) | |||||||
\(492\) | 10.9668 | − | 3.56332i | 0.494421 | − | 0.160647i | ||||
\(493\) | 0.246401 | + | 0.339142i | 0.0110973 | + | 0.0152742i | ||||
\(494\) | −32.3637 | −1.45611 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −3.38705 | −0.152083 | ||||||||
\(497\) | 6.12761 | + | 8.43394i | 0.274861 | + | 0.378314i | ||||
\(498\) | 9.88707 | − | 3.21250i | 0.443050 | − | 0.143956i | ||||
\(499\) | 12.8117 | − | 39.4305i | 0.573532 | − | 1.76515i | −0.0675920 | − | 0.997713i | \(-0.521532\pi\) |
0.641124 | − | 0.767437i | \(-0.278468\pi\) | |||||||
\(500\) | 8.23973 | + | 0.347895i | 0.368492 | + | 0.0155583i | ||||
\(501\) | 6.10409 | + | 4.43488i | 0.272711 | + | 0.198136i | ||||
\(502\) | −37.5099 | − | 12.1877i | −1.67415 | − | 0.543964i | ||||
\(503\) | 31.0628 | − | 10.0929i | 1.38502 | − | 0.450020i | 0.480704 | − | 0.876883i | \(-0.340381\pi\) |
0.904317 | + | 0.426862i | \(0.140381\pi\) | |||||||
\(504\) | 3.41046 | − | 2.47784i | 0.151914 | − | 0.110372i | ||||
\(505\) | −21.7090 | + | 4.29618i | −0.966039 | + | 0.191178i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 1.35905i | 0.0603576i | ||||||||
\(508\) | −1.05373 | − | 1.45034i | −0.0467519 | − | 0.0643485i | ||||
\(509\) | −5.14365 | − | 15.8305i | −0.227988 | − | 0.701675i | −0.997975 | − | 0.0636149i | \(-0.979737\pi\) |
0.769986 | − | 0.638060i | \(-0.220263\pi\) | |||||||
\(510\) | −16.1390 | − | 1.92614i | −0.714646 | − | 0.0852909i | ||||
\(511\) | −16.0752 | − | 11.6793i | −0.711126 | − | 0.516663i | ||||
\(512\) | −0.567200 | + | 0.780684i | −0.0250669 | + | 0.0345017i | ||||
\(513\) | −20.8539 | − | 6.77583i | −0.920720 | − | 0.299160i | ||||
\(514\) | −12.6169 | − | 38.8307i | −0.556505 | − | 1.71275i | ||||
\(515\) | −16.8007 | − | 15.5608i | −0.740328 | − | 0.685692i | ||||
\(516\) | 12.2561 | 0.539543 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | − | 9.62412i | − | 0.422860i | ||||||
\(519\) | 3.36645 | − | 2.44587i | 0.147771 | − | 0.107362i | ||||
\(520\) | −8.42839 | − | 15.0845i | −0.369609 | − | 0.661498i | ||||
\(521\) | 4.34362 | − | 13.3683i | 0.190298 | − | 0.585676i | −0.809702 | − | 0.586842i | \(-0.800371\pi\) |
0.999999 | + | 0.00116602i | \(0.000371156\pi\) | |||||||
\(522\) | −0.164899 | + | 0.226964i | −0.00721742 | + | 0.00993393i | ||||
\(523\) | −9.20925 | + | 12.6754i | −0.402692 | + | 0.554258i | −0.961417 | − | 0.275095i | \(-0.911291\pi\) |
0.558725 | + | 0.829353i | \(0.311291\pi\) | |||||||
\(524\) | 0.362080 | − | 1.11437i | 0.0158175 | − | 0.0486814i | ||||
\(525\) | −14.3511 | − | 16.8695i | −0.626332 | − | 0.736245i | ||||
\(526\) | 7.28322 | − | 5.29157i | 0.317563 | − | 0.230723i | ||||
\(527\) | − | 1.52801i | − | 0.0665611i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 8.14550 | 0.354152 | ||||||||
\(530\) | 31.8192 | − | 34.3546i | 1.38214 | − | 1.49227i | ||||
\(531\) | −0.0955624 | − | 0.294111i | −0.00414705 | − | 0.0127633i | ||||
\(532\) | 8.31938 | + | 2.70313i | 0.360691 | + | 0.117196i | ||||
\(533\) | −17.2147 | + | 23.6940i | −0.745652 | + | 1.02630i | ||||
\(534\) | 26.2279 | + | 19.0557i | 1.13499 | + | 0.824620i | ||||
\(535\) | 22.3070 | + | 2.66228i | 0.964417 | + | 0.115100i | ||||
\(536\) | 0.419831 | + | 1.29211i | 0.0181339 | + | 0.0558106i | ||||
\(537\) | −5.83158 | − | 8.02648i | −0.251651 | − | 0.346368i | ||||
\(538\) | 11.0949i | 0.478336i | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 1.32805 | + | 6.71075i | 0.0571501 | + | 0.288785i | ||||
\(541\) | −32.0681 | + | 23.2989i | −1.37872 | + | 1.00170i | −0.381718 | + | 0.924279i | \(0.624667\pi\) |
−0.996999 | + | 0.0774172i | \(0.975333\pi\) | |||||||
\(542\) | −7.96215 | + | 2.58706i | −0.342004 | + | 0.111124i | ||||
\(543\) | 29.3883 | + | 9.54884i | 1.26117 | + | 0.409780i | ||||
\(544\) | 7.16598 | + | 5.20639i | 0.307239 | + | 0.223222i | ||||
\(545\) | 17.8654 | + | 8.25719i | 0.765268 | + | 0.353699i | ||||
\(546\) | 8.37930 | − | 25.7888i | 0.358601 | − | 1.10366i | ||||
\(547\) | −39.1516 | + | 12.7211i | −1.67400 | + | 0.543916i | −0.983733 | − | 0.179637i | \(-0.942508\pi\) |
−0.690269 | + | 0.723553i | \(0.742508\pi\) | |||||||
\(548\) | 8.10865 | + | 11.1606i | 0.346385 | + | 0.476757i | ||||
\(549\) | 1.55967 | 0.0665651 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0.996247 | 0.0424415 | ||||||||
\(552\) | 9.34414 | + | 12.8611i | 0.397713 | + | 0.547405i | ||||
\(553\) | −15.4328 | + | 5.01441i | −0.656268 | + | 0.213234i | ||||
\(554\) | −5.46762 | + | 16.8276i | −0.232297 | + | 0.714936i | ||||
\(555\) | 10.3943 | + | 4.80412i | 0.441212 | + | 0.203924i | ||||
\(556\) | 6.93880 | + | 5.04133i | 0.294271 | + | 0.213800i | ||||
\(557\) | 28.4137 | + | 9.23218i | 1.20393 | + | 0.391180i | 0.841205 | − | 0.540717i | \(-0.181847\pi\) |
0.362724 | + | 0.931897i | \(0.381847\pi\) | |||||||
\(558\) | 0.972539 | − | 0.315997i | 0.0411708 | − | 0.0133772i | ||||
\(559\) | −25.1836 | + | 18.2969i | −1.06515 | + | 0.773877i | ||||
\(560\) | 4.80152 | + | 24.2625i | 0.202901 | + | 1.02528i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 22.7004i | 0.957558i | ||||||||
\(563\) | 1.26832 | + | 1.74569i | 0.0534533 | + | 0.0735721i | 0.834907 | − | 0.550391i | \(-0.185521\pi\) |
−0.781454 | + | 0.623963i | \(0.785521\pi\) | |||||||
\(564\) | −5.40761 | − | 16.6429i | −0.227701 | − | 0.700793i | ||||
\(565\) | 0.513674 | + | 0.0613055i | 0.0216104 | + | 0.00257914i | ||||
\(566\) | −29.4077 | − | 21.3660i | −1.23610 | − | 0.898079i | ||||
\(567\) | 14.3575 | − | 19.7615i | 0.602960 | − | 0.829903i | ||||
\(568\) | 9.23223 | + | 2.99973i | 0.387376 | + | 0.125866i | ||||
\(569\) | 0.221654 | + | 0.682181i | 0.00929222 | + | 0.0285985i | 0.955595 | − | 0.294683i | \(-0.0952140\pi\) |
−0.946303 | + | 0.323281i | \(0.895214\pi\) | |||||||
\(570\) | −26.2476 | + | 28.3390i | −1.09939 | + | 1.18699i | ||||
\(571\) | 21.6311 | 0.905235 | 0.452617 | − | 0.891705i | \(-0.350490\pi\) | ||||
0.452617 | + | 0.891705i | \(0.350490\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | − | 6.15315i | − | 0.257051i | ||||||
\(574\) | 23.7682 | − | 17.2686i | 0.992068 | − | 0.720779i | ||||
\(575\) | 14.6780 | − | 12.4867i | 0.612115 | − | 0.520733i | ||||
\(576\) | 0.910431 | − | 2.80202i | 0.0379346 | − | 0.116751i | ||||
\(577\) | −13.7704 | + | 18.9533i | −0.573269 | + | 0.789037i | −0.992937 | − | 0.118641i | \(-0.962146\pi\) |
0.419668 | + | 0.907677i | \(0.362146\pi\) | |||||||
\(578\) | 11.7202 | − | 16.1314i | 0.487495 | − | 0.670980i | ||||
\(579\) | 5.88053 | − | 18.0984i | 0.244387 | − | 0.752145i | ||||
\(580\) | −0.151606 | − | 0.271332i | −0.00629508 | − | 0.0112664i | ||||
\(581\) | 5.77370 | − | 4.19484i | 0.239533 | − | 0.174031i | ||||
\(582\) | − | 7.41093i | − | 0.307193i | ||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −18.5023 | −0.765633 | ||||||||
\(585\) | 5.46126 | + | 5.05823i | 0.225795 | + | 0.209132i | ||||
\(586\) | −7.17756 | − | 22.0903i | −0.296502 | − | 0.912540i | ||||
\(587\) | 2.13735 | + | 0.694466i | 0.0882177 | + | 0.0286637i | 0.352793 | − | 0.935701i | \(-0.385232\pi\) |
−0.264576 | + | 0.964365i | \(0.585232\pi\) | |||||||
\(588\) | 1.68557 | − | 2.31998i | 0.0695116 | − | 0.0956745i | ||||
\(589\) | −2.93783 | − | 2.13446i | −0.121051 | − | 0.0879488i | ||||
\(590\) | 1.26260 | + | 0.150688i | 0.0519805 | + | 0.00620373i | ||||
\(591\) | 8.78590 | + | 27.0402i | 0.361404 | + | 1.11229i | ||||
\(592\) | −7.51619 | − | 10.3451i | −0.308914 | − | 0.425183i | ||||
\(593\) | − | 25.4034i | − | 1.04319i | −0.853193 | − | 0.521596i | \(-0.825337\pi\) | ||
0.853193 | − | 0.521596i | \(-0.174663\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −10.9456 | + | 2.16612i | −0.448726 | + | 0.0888022i | ||||
\(596\) | 3.53017 | − | 2.56482i | 0.144601 | − | 0.105059i | ||||
\(597\) | −27.7922 | + | 9.03023i | −1.13746 | + | 0.369583i | ||||
\(598\) | 22.4387 | + | 7.29076i | 0.917585 | + | 0.298141i | ||||
\(599\) | −14.7446 | − | 10.7126i | −0.602448 | − | 0.437704i | 0.244299 | − | 0.969700i | \(-0.421442\pi\) |
−0.846747 | + | 0.531996i | \(0.821442\pi\) | |||||||
\(600\) | −20.0442 | − | 4.85357i | −0.818302 | − | 0.198146i | ||||
\(601\) | 10.7043 | − | 32.9444i | 0.436637 | − | 1.34383i | −0.454762 | − | 0.890613i | \(-0.650276\pi\) |
0.891400 | − | 0.453218i | \(-0.149724\pi\) | |||||||
\(602\) | 29.6978 | − | 9.64940i | 1.21039 | − | 0.393280i | ||||
\(603\) | −0.344017 | − | 0.473499i | −0.0140095 | − | 0.0192824i | ||||
\(604\) | 9.42547 | 0.383517 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −32.3375 | −1.31362 | ||||||||
\(607\) | −14.9581 | − | 20.5881i | −0.607131 | − | 0.835644i | 0.389207 | − | 0.921150i | \(-0.372749\pi\) |
−0.996338 | + | 0.0855067i | \(0.972749\pi\) | |||||||
\(608\) | 20.0201 | − | 6.50494i | 0.811924 | − | 0.263810i | ||||
\(609\) | −0.257939 | + | 0.793855i | −0.0104522 | + | 0.0321686i | ||||
\(610\) | −2.69058 | + | 5.82137i | −0.108938 | + | 0.235700i | ||||
\(611\) | 35.9574 | + | 26.1246i | 1.45468 | + | 1.05689i | ||||
\(612\) | −1.40425 | − | 0.456268i | −0.0567634 | − | 0.0184436i | ||||
\(613\) | −35.2477 | + | 11.4527i | −1.42364 | + | 0.462569i | −0.916757 | − | 0.399445i | \(-0.869203\pi\) |
−0.506884 | + | 0.862014i | \(0.669203\pi\) | |||||||
\(614\) | 9.19542 | − | 6.68086i | 0.371097 | − | 0.269618i | ||||
\(615\) | 6.78600 | + | 34.2903i | 0.273638 | + | 1.38272i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 27.5937i | 1.11088i | 0.831557 | + | 0.555439i | \(0.187450\pi\) | ||||
−0.831557 | + | 0.555439i | \(0.812550\pi\) | |||||||
\(618\) | −19.6687 | − | 27.0716i | −0.791190 | − | 1.08898i | ||||
\(619\) | −6.31739 | − | 19.4429i | −0.253917 | − | 0.781477i | −0.994041 | − | 0.109006i | \(-0.965233\pi\) |
0.740124 | − | 0.672471i | \(-0.234767\pi\) | |||||||
\(620\) | −0.134259 | + | 1.12494i | −0.00539196 | + | 0.0451788i | ||||
\(621\) | 12.9321 | + | 9.39575i | 0.518949 | + | 0.377038i | ||||
\(622\) | −5.35049 | + | 7.36432i | −0.214535 | + | 0.295282i | ||||
\(623\) | 21.1664 | + | 6.87738i | 0.848014 | + | 0.275536i | ||||
\(624\) | −11.1333 | − | 34.2649i | −0.445691 | − | 1.37169i | ||||
\(625\) | −4.00719 | + | 24.6768i | −0.160287 | + | 0.987070i | ||||
\(626\) | 23.5480 | 0.941167 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 10.5842i | 0.422354i | ||||||||
\(629\) | 4.66703 | − | 3.39079i | 0.186087 | − | 0.135200i | ||||
\(630\) | −3.64227 | − | 6.51864i | −0.145111 | − | 0.259709i | ||||
\(631\) | 0.234586 | − | 0.721982i | 0.00933873 | − | 0.0287417i | −0.946279 | − | 0.323353i | \(-0.895190\pi\) |
0.955617 | + | 0.294611i | \(0.0951900\pi\) | |||||||
\(632\) | −8.88145 | + | 12.2243i | −0.353285 | + | 0.486255i | ||||
\(633\) | −7.86000 | + | 10.8184i | −0.312407 | + | 0.429991i | ||||
\(634\) | −9.55425 | + | 29.4050i | −0.379448 | + | 1.16782i | ||||
\(635\) | 4.74409 | − | 2.65074i | 0.188264 | − | 0.105192i | ||||
\(636\) | 14.9155 | − | 10.8368i | 0.591440 | − | 0.429706i | ||||
\(637\) | 7.28342i | 0.288579i | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −4.18186 | −0.165432 | ||||||||
\(640\) | 21.9517 | + | 20.3317i | 0.867718 | + | 0.803681i | ||||
\(641\) | −4.60590 | − | 14.1755i | −0.181922 | − | 0.559899i | 0.817960 | − | 0.575276i | \(-0.195105\pi\) |
−0.999882 | + | 0.0153768i | \(0.995105\pi\) | |||||||
\(642\) | 31.2207 | + | 10.1442i | 1.23218 | + | 0.400361i | ||||
\(643\) | 16.2432 | − | 22.3568i | 0.640569 | − | 0.881667i | −0.358077 | − | 0.933692i | \(-0.616568\pi\) |
0.998646 | + | 0.0520249i | \(0.0165675\pi\) | |||||||
\(644\) | −5.15911 | − | 3.74831i | −0.203297 | − | 0.147704i | ||||
\(645\) | −4.40284 | + | 36.8910i | −0.173361 | + | 1.45258i | ||||
\(646\) | 6.01340 | + | 18.5073i | 0.236594 | + | 0.728162i | ||||
\(647\) | 14.6820 | + | 20.2081i | 0.577210 | + | 0.794461i | 0.993386 | − | 0.114823i | \(-0.0366300\pi\) |
−0.416176 | + | 0.909284i | \(0.636630\pi\) | |||||||
\(648\) | − | 22.7452i | − | 0.893514i | ||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −28.3007 | + | 11.6579i | −1.11004 | + | 0.457260i | ||||
\(651\) | 2.46147 | − | 1.78836i | 0.0964725 | − | 0.0700914i | ||||
\(652\) | −2.54459 | + | 0.826787i | −0.0996538 | + | 0.0323795i | ||||
\(653\) | 26.4042 | + | 8.57923i | 1.03327 | + | 0.335731i | 0.776084 | − | 0.630629i | \(-0.217203\pi\) |
0.257191 | + | 0.966361i | \(0.417203\pi\) | |||||||
\(654\) | 23.2667 | + | 16.9042i | 0.909800 | + | 0.661008i | ||||
\(655\) | 3.22419 | + | 1.49019i | 0.125980 | + | 0.0582265i | ||||
\(656\) | 12.0626 | − | 37.1248i | 0.470964 | − | 1.44948i | ||||
\(657\) | 7.58057 | − | 2.46308i | 0.295746 | − | 0.0960938i | ||||
\(658\) | −26.2064 | − | 36.0701i | −1.02163 | − | 1.40616i | ||||
\(659\) | −21.5863 | −0.840883 | −0.420442 | − | 0.907320i | \(-0.638125\pi\) | ||||
−0.420442 | + | 0.907320i | \(0.638125\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −16.0174 | −0.623003 | −0.311502 | − | 0.950246i | \(-0.600832\pi\) | ||||
−0.311502 | + | 0.950246i | \(0.600832\pi\) | |||||||
\(662\) | −0.455390 | − | 0.626791i | −0.0176992 | − | 0.0243609i | ||||
\(663\) | 15.4580 | − | 5.02261i | 0.600339 | − | 0.195062i | ||||
\(664\) | 2.05356 | − | 6.32019i | 0.0796934 | − | 0.245271i | ||||
\(665\) | −11.1251 | + | 24.0704i | −0.431413 | + | 0.933411i | ||||
\(666\) | 3.12331 | + | 2.26922i | 0.121026 | + | 0.0879304i | ||||
\(667\) | −0.690726 | − | 0.224431i | −0.0267450 | − | 0.00868999i | ||||
\(668\) | −2.68036 | + | 0.870903i | −0.103706 | + | 0.0336963i | ||||
\(669\) | −13.9270 | + | 10.1186i | −0.538450 | + | 0.391207i | ||||
\(670\) | 2.36076 | − | 0.467191i | 0.0912042 | − | 0.0180492i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 17.6372i | 0.680368i | ||||||||
\(673\) | 18.4253 | + | 25.3602i | 0.710242 | + | 0.977564i | 0.999792 | + | 0.0204009i | \(0.00649425\pi\) |
−0.289550 | + | 0.957163i | \(0.593506\pi\) | |||||||
\(674\) | 17.4286 | + | 53.6396i | 0.671324 | + | 2.06612i | ||||
\(675\) | −20.6766 | + | 1.58670i | −0.795842 | + | 0.0610720i | ||||
\(676\) | −0.410694 | − | 0.298386i | −0.0157959 | − | 0.0114764i | ||||
\(677\) | −18.0252 | + | 24.8096i | −0.692766 | + | 0.953510i | 0.307232 | + | 0.951635i | \(0.400597\pi\) |
−0.999998 | + | 0.00187591i | \(0.999403\pi\) | |||||||
\(678\) | 0.718933 | + | 0.233596i | 0.0276105 | + | 0.00897118i | ||||
\(679\) | −1.57213 | − | 4.83853i | −0.0603330 | − | 0.185686i | ||||
\(680\) | −7.06008 | + | 7.62262i | −0.270742 | + | 0.292314i | ||||
\(681\) | −7.51888 | −0.288124 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | − | 3.27236i | − | 0.125213i | −0.998038 | − | 0.0626066i | \(-0.980059\pi\) | ||
0.998038 | − | 0.0626066i | \(-0.0199414\pi\) | |||||||
\(684\) | −2.83882 | + | 2.06253i | −0.108545 | + | 0.0788627i | ||||
\(685\) | −36.5066 | + | 20.3979i | −1.39484 | + | 0.779364i | ||||
\(686\) | 10.2858 | − | 31.6566i | 0.392715 | − | 1.20865i | ||||
\(687\) | −3.14989 | + | 4.33546i | −0.120176 | + | 0.165408i | ||||
\(688\) | 24.3868 | − | 33.5655i | 0.929737 | − | 1.27967i | ||||
\(689\) | −14.4701 | + | 44.5344i | −0.551267 | + | 1.69663i | ||||
\(690\) | 24.5823 | − | 13.7353i | 0.935833 | − | 0.522893i | ||||
\(691\) | 29.5247 | − | 21.4510i | 1.12317 | − | 0.816034i | 0.138487 | − | 0.990364i | \(-0.455776\pi\) |
0.984687 | + | 0.174330i | \(0.0557761\pi\) | |||||||
\(692\) | 1.55431i | 0.0590862i | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 5.94478 | 0.225661 | ||||||||
\(695\) | −17.6672 | + | 19.0749i | −0.670154 | + | 0.723552i | ||||
\(696\) | 0.240184 | + | 0.739212i | 0.00910417 | + | 0.0280197i | ||||
\(697\) | 16.7482 | + | 5.44181i | 0.634382 | + | 0.206123i | ||||
\(698\) | −6.19614 | + | 8.52825i | −0.234527 | + | 0.322799i | ||||
\(699\) | 16.7924 | + | 12.2004i | 0.635147 | + | 0.461461i | ||||
\(700\) | 8.24866 | − | 0.632992i | 0.311770 | − | 0.0239249i | ||||
\(701\) | −14.3880 | − | 44.2818i | −0.543429 | − | 1.67250i | −0.724696 | − | 0.689068i | \(-0.758020\pi\) |
0.181267 | − | 0.983434i | \(-0.441980\pi\) | |||||||
\(702\) | −14.9233 | − | 20.5401i | −0.563242 | − | 0.775236i | ||||
\(703\) | − | 13.7096i | − | 0.517068i | ||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 52.0381 | − | 10.2983i | 1.95987 | − | 0.387855i | ||||
\(706\) | 16.3268 | − | 11.8621i | 0.614469 | − | 0.446438i | ||||
\(707\) | −21.1129 | + | 6.85999i | −0.794031 | + | 0.257996i | ||||
\(708\) | 0.476142 | + | 0.154708i | 0.0178945 | + | 0.00581427i | ||||
\(709\) | −28.7982 | − | 20.9231i | −1.08154 | − | 0.785785i | −0.103590 | − | 0.994620i | \(-0.533033\pi\) |
−0.977951 | + | 0.208835i | \(0.933033\pi\) | |||||||
\(710\) | 7.21409 | − | 15.6085i | 0.270740 | − | 0.585776i | ||||
\(711\) | 2.01148 | − | 6.19071i | 0.0754365 | − | 0.232170i | ||||
\(712\) | 19.7095 | − | 6.40399i | 0.738643 | − | 0.240000i | ||||
\(713\) | 1.55604 | + | 2.14170i | 0.0582741 | + | 0.0802074i | ||||
\(714\) | −16.3044 | −0.610178 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 3.70588 | 0.138495 | ||||||||
\(717\) | 23.2610 | + | 32.0160i | 0.868698 | + | 1.19566i | ||||
\(718\) | −37.9472 | + | 12.3298i | −1.41618 | + | 0.460143i | ||||
\(719\) | −6.82658 | + | 21.0101i | −0.254589 | + | 0.783543i | 0.739322 | + | 0.673352i | \(0.235146\pi\) |
−0.993910 | + | 0.110191i | \(0.964854\pi\) | |||||||
\(720\) | −9.00603 | − | 4.16250i | −0.335635 | − | 0.155127i | ||||
\(721\) | −18.5844 | − | 13.5024i | −0.692120 | − | 0.502855i | ||||
\(722\) | 14.0848 | + | 4.57644i | 0.524183 | + | 0.170317i | ||||
\(723\) | −53.4235 | + | 17.3584i | −1.98684 | + | 0.645564i | ||||
\(724\) | −9.33792 | + | 6.78440i | −0.347041 | + | 0.252140i | ||||
\(725\) | 0.871176 | − | 0.358863i | 0.0323547 | − | 0.0133278i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 45.5415i | − | 1.68904i | −0.535522 | − | 0.844521i | \(-0.679885\pi\) | ||
0.535522 | − | 0.844521i | \(-0.320115\pi\) | |||||||
\(728\) | −10.1884 | − | 14.0232i | −0.377608 | − | 0.519733i | ||||
\(729\) | −4.56501 | − | 14.0497i | −0.169075 | − | 0.520358i | ||||
\(730\) | −3.88391 | + | 32.5430i | −0.143750 | + | 1.20447i | ||||
\(731\) | 15.1425 | + | 11.0017i | 0.560065 | + | 0.406911i | ||||
\(732\) | −1.48415 | + | 2.04275i | −0.0548556 | + | 0.0755023i | ||||
\(733\) | −10.8220 | − | 3.51627i | −0.399719 | − | 0.129877i | 0.102257 | − | 0.994758i | \(-0.467393\pi\) |
−0.501976 | + | 0.864881i | \(0.667393\pi\) | |||||||
\(734\) | 10.4252 | + | 32.0856i | 0.384803 | + | 1.18430i | ||||
\(735\) | 6.37767 | + | 5.90701i | 0.235244 | + | 0.217883i | ||||
\(736\) | −15.3459 | −0.565659 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 11.7852i | 0.433818i | ||||||||
\(739\) | 3.50933 | − | 2.54968i | 0.129093 | − | 0.0937915i | −0.521365 | − | 0.853334i | \(-0.674577\pi\) |
0.650458 | + | 0.759542i | \(0.274577\pi\) | |||||||
\(740\) | −3.73387 | + | 2.08629i | −0.137260 | + | 0.0766934i | ||||
\(741\) | 11.9364 | − | 36.7364i | 0.438494 | − | 1.34954i | ||||
\(742\) | 27.6100 | − | 38.0019i | 1.01360 | − | 1.39510i | ||||
\(743\) | −10.1654 | + | 13.9915i | −0.372934 | + | 0.513300i | −0.953695 | − | 0.300774i | \(-0.902755\pi\) |
0.580761 | + | 0.814074i | \(0.302755\pi\) | |||||||
\(744\) | 0.875481 | − | 2.69445i | 0.0320967 | − | 0.0987834i | ||||
\(745\) | 6.45199 | + | 11.5473i | 0.236382 | + | 0.423059i | ||||
\(746\) | 10.0661 | − | 7.31346i | 0.368547 | − | 0.267765i | ||||
\(747\) | 2.86281i | 0.104745i | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 22.5357 | 0.823437 | ||||||||
\(750\) | −12.7443 | + | 34.2361i | −0.465357 | + | 1.25012i | ||||
\(751\) | −9.73806 | − | 29.9707i | −0.355347 | − | 1.09365i | −0.955808 | − | 0.293991i | \(-0.905016\pi\) |
0.600461 | − | 0.799654i | \(-0.294984\pi\) | |||||||
\(752\) | −56.3396 | − | 18.3058i | −2.05449 | − | 0.667546i | ||||
\(753\) | 27.6688 | − | 38.0829i | 1.00831 | − | 1.38782i | ||||
\(754\) | 0.933232 | + | 0.678033i | 0.0339863 | + | 0.0246925i | ||||
\(755\) | −3.38598 | + | 28.3708i | −0.123228 | + | 1.03252i | ||||
\(756\) | 2.12058 | + | 6.52647i | 0.0771247 | + | 0.237365i | ||||
\(757\) | 5.45311 | + | 7.50556i | 0.198197 | + | 0.272794i | 0.896534 | − | 0.442974i | \(-0.146077\pi\) |
−0.698338 | + | 0.715768i | \(0.746077\pi\) | |||||||
\(758\) | − | 38.3718i | − | 1.39373i | ||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 4.79350 | + | 24.2220i | 0.173879 | + | 0.878626i | ||||
\(761\) | −3.36397 | + | 2.44407i | −0.121944 | + | 0.0885975i | −0.647086 | − | 0.762417i | \(-0.724012\pi\) |
0.525142 | + | 0.851015i | \(0.324012\pi\) | |||||||
\(762\) | 7.55236 | − | 2.45391i | 0.273593 | − | 0.0888958i | ||||
\(763\) | 18.7767 | + | 6.10090i | 0.679760 | + | 0.220868i | ||||
\(764\) | 1.85943 | + | 1.35095i | 0.0672717 | + | 0.0488758i | ||||
\(765\) | 1.87783 | − | 4.06291i | 0.0678932 | − | 0.146895i | ||||
\(766\) | 1.24776 | − | 3.84020i | 0.0450833 | − | 0.138752i | ||||
\(767\) | −1.20933 | + | 0.392935i | −0.0436663 | + | 0.0141880i | ||||
\(768\) | 18.0976 | + | 24.9092i | 0.653040 | + | 0.898833i | ||||
\(769\) | 16.8800 | 0.608709 | 0.304355 | − | 0.952559i | \(-0.401559\pi\) | ||||
0.304355 | + | 0.952559i | \(0.401559\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 48.7305 | 1.75499 | ||||||||
\(772\) | 4.17808 | + | 5.75064i | 0.150373 | + | 0.206970i | ||||
\(773\) | 8.06267 | − | 2.61972i | 0.289994 | − | 0.0942248i | −0.160407 | − | 0.987051i | \(-0.551281\pi\) |
0.450402 | + | 0.892826i | \(0.351281\pi\) | |||||||
\(774\) | −3.87076 | + | 11.9130i | −0.139132 | + | 0.428203i | ||||
\(775\) | −3.33787 | − | 0.808243i | −0.119900 | − | 0.0290330i | ||||
\(776\) | −3.83259 | − | 2.78454i | −0.137582 | − | 0.0999593i | ||||
\(777\) | 10.9245 | + | 3.54957i | 0.391913 | + | 0.127340i | ||||
\(778\) | 53.4602 | − | 17.3703i | 1.91664 | − | 0.622754i | ||||
\(779\) | 33.8580 | − | 24.5993i | 1.21309 | − | 0.881361i | ||||
\(780\) | −11.8217 | + | 2.33950i | −0.423286 | + | 0.0837676i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | − | 14.1863i | − | 0.507303i | ||||||
\(783\) | 0.459381 | + | 0.632284i | 0.0164169 | + | 0.0225960i | ||||
\(784\) | −2.99981 | − | 9.23247i | −0.107136 | − | 0.329731i | ||||
\(785\) | −31.8585 | − | 3.80222i | −1.13708 | − | 0.135707i | ||||
\(786\) | 4.19898 | + | 3.05074i | 0.149773 | + | 0.108816i | ||||
\(787\) | 31.5150 | − | 43.3767i | 1.12339 | − | 1.54621i | 0.323336 | − | 0.946284i | \(-0.395196\pi\) |
0.800054 | − | 0.599928i | \(-0.204804\pi\) | |||||||
\(788\) | −10.1003 | − | 3.28179i | −0.359808 | − | 0.116909i | ||||
\(789\) | 3.32032 | + | 10.2189i | 0.118207 | + | 0.363803i | ||||
\(790\) | 19.6364 | + | 18.1873i | 0.698632 | + | 0.647074i | ||||
\(791\) | 0.518940 | 0.0184514 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | − | 6.41307i | − | 0.227735i | ||||||
\(794\) | −36.8059 | + | 26.7410i | −1.30619 | + | 0.949004i | ||||
\(795\) | 27.2607 | + | 48.7890i | 0.966837 | + | 1.73037i | ||||
\(796\) | 3.37305 | − | 10.3812i | 0.119555 | − | 0.367951i | ||||
\(797\) | −16.7782 | + | 23.0932i | −0.594315 | + | 0.818004i | −0.995173 | − | 0.0981362i | \(-0.968712\pi\) |
0.400858 | + | 0.916140i | \(0.368712\pi\) | |||||||
\(798\) | −22.7755 | + | 31.3477i | −0.806243 | + | 1.10970i | ||||
\(799\) | 8.25835 | − | 25.4166i | 0.292159 | − | 0.899174i | ||||
\(800\) | 15.1636 | − | 12.8999i | 0.536114 | − | 0.456079i | ||||
\(801\) | −7.22262 | + | 5.24754i | −0.255199 | + | 0.185413i | ||||
\(802\) | − | 3.12290i | − | 0.110273i | ||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 0.947515 | 0.0334163 | ||||||||
\(805\) | 13.1358 | − | 14.1825i | 0.462977 | − | 0.499867i | ||||
\(806\) | −1.29932 | − | 3.99890i | −0.0457666 | − | 0.140855i | ||||
\(807\) | −12.5940 | − | 4.09203i | −0.443329 | − | 0.144046i | ||||
\(808\) | −12.1503 | + | 16.7235i | −0.427446 | + | 0.588330i | ||||
\(809\) | −29.8900 | − | 21.7163i | −1.05088 | − | 0.763506i | −0.0784966 | − | 0.996914i | \(-0.525012\pi\) |
−0.972379 | + | 0.233409i | \(0.925012\pi\) | |||||||
\(810\) | −40.0055 | − | 4.77454i | −1.40565 | − | 0.167760i | ||||
\(811\) | 11.8591 | + | 36.4985i | 0.416428 | + | 1.28163i | 0.910967 | + | 0.412479i | \(0.135337\pi\) |
−0.494539 | + | 0.869156i | \(0.664663\pi\) | |||||||
\(812\) | −0.183264 | − | 0.252241i | −0.00643131 | − | 0.00885194i | ||||
\(813\) | − | 9.99209i | − | 0.350438i | ||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −1.57453 | − | 7.95628i | −0.0551535 | − | 0.278696i | ||||
\(816\) | −17.5259 | + | 12.7333i | −0.613530 | + | 0.445756i | ||||
\(817\) | 42.3047 | − | 13.7456i | 1.48005 | − | 0.480899i | ||||
\(818\) | 21.3340 | + | 6.93185i | 0.745927 | + | 0.242366i | ||||
\(819\) | 6.04108 | + | 4.38910i | 0.211092 | + | 0.153368i | ||||
\(820\) | −11.8521 | − | 5.47793i | −0.413894 | − | 0.191298i | ||||
\(821\) | 3.16732 | − | 9.74799i | 0.110540 | − | 0.340207i | −0.880451 | − | 0.474138i | \(-0.842760\pi\) |
0.990991 | + | 0.133930i | \(0.0427599\pi\) | |||||||
\(822\) | −58.1166 | + | 18.8832i | −2.02705 | + | 0.658629i | ||||
\(823\) | −14.8296 | − | 20.4112i | −0.516926 | − | 0.711488i | 0.468142 | − | 0.883653i | \(-0.344924\pi\) |
−0.985068 | + | 0.172165i | \(0.944924\pi\) | |||||||
\(824\) | −21.3904 | −0.745170 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 1.27555 | 0.0443820 | ||||||||
\(827\) | 10.7850 | + | 14.8443i | 0.375031 | + | 0.516186i | 0.954260 | − | 0.298979i | \(-0.0966462\pi\) |
−0.579229 | + | 0.815165i | \(0.696646\pi\) | |||||||
\(828\) | 2.43288 | − | 0.790489i | 0.0845483 | − | 0.0274714i | ||||
\(829\) | −7.53463 | + | 23.1892i | −0.261689 | + | 0.805395i | 0.730749 | + | 0.682646i | \(0.239171\pi\) |
−0.992438 | + | 0.122749i | \(0.960829\pi\) | |||||||
\(830\) | −10.6852 | − | 4.93861i | −0.370890 | − | 0.171422i | ||||
\(831\) | −17.0846 | − | 12.4127i | −0.592659 | − | 0.430592i | ||||
\(832\) | −11.5214 | − | 3.74352i | −0.399432 | − | 0.129783i | ||||
\(833\) | 4.16506 | − | 1.35331i | 0.144311 | − | 0.0468894i | ||||
\(834\) | −30.7361 | + | 22.3311i | −1.06430 | + | 0.773262i | ||||
\(835\) | −1.65855 | − | 8.38081i | −0.0573964 | − | 0.290030i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | − | 2.84876i | − | 0.0984676i | ||||||
\(838\) | −21.5289 | − | 29.6320i | −0.743704 | − | 1.02362i | ||||
\(839\) | 13.0655 | + | 40.2114i | 0.451071 | + | 1.38825i | 0.875687 | + | 0.482880i | \(0.160409\pi\) |
−0.424616 | + | 0.905374i | \(0.639591\pi\) | |||||||
\(840\) | −20.5423 | − | 2.45167i | −0.708777 | − | 0.0845905i | ||||
\(841\) | 23.4328 | + | 17.0249i | 0.808026 | + | 0.587066i | ||||
\(842\) | 17.4109 | − | 23.9641i | 0.600020 | − | 0.825857i | ||||
\(843\) | −25.7675 | − | 8.37236i | −0.887479 | − | 0.288359i | ||||
\(844\) | −1.54351 | − | 4.75044i | −0.0531299 | − | 0.163517i | ||||
\(845\) | 1.04568 | − | 1.12900i | 0.0359727 | − | 0.0388389i | ||||
\(846\) | 17.8849 | 0.614895 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | − | 62.4117i | − | 2.14323i | ||||||
\(849\) | 35.0989 | − | 25.5009i | 1.20459 | − | 0.875187i | ||||
\(850\) | 11.9251 | + | 14.0178i | 0.409027 | + | 0.480806i | ||||
\(851\) | −3.08845 | + | 9.50527i | −0.105871 | + | 0.325837i | ||||
\(852\) | 3.97936 | − | 5.47712i | 0.136331 | − | 0.187643i | ||||
\(853\) | −9.04511 | + | 12.4495i | −0.309699 | + | 0.426264i | −0.935287 | − | 0.353890i | \(-0.884859\pi\) |
0.625589 | + | 0.780153i | \(0.284859\pi\) | |||||||
\(854\) | −1.98796 | + | 6.11831i | −0.0680265 | + | 0.209364i | ||||
\(855\) | −5.18843 | − | 9.28585i | −0.177441 | − | 0.317569i | ||||
\(856\) | 16.9768 | − | 12.3344i | 0.580256 | − | 0.421581i | ||||
\(857\) | 36.1038i | 1.23328i | 0.787245 | + | 0.616641i | \(0.211507\pi\) | ||||
−0.787245 | + | 0.616641i | \(0.788493\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −48.3509 | −1.64971 | −0.824855 | − | 0.565344i | \(-0.808743\pi\) | ||||
−0.824855 | + | 0.565344i | \(0.808743\pi\) | |||||||
\(860\) | −10.1815 | − | 9.43009i | −0.347185 | − | 0.321563i | ||||
\(861\) | 10.8356 | + | 33.3486i | 0.369277 | + | 1.13652i | ||||
\(862\) | −52.6301 | − | 17.1006i | −1.79259 | − | 0.582447i | ||||
\(863\) | 21.8590 | − | 30.0863i | 0.744088 | − | 1.02415i | −0.254286 | − | 0.967129i | \(-0.581840\pi\) |
0.998373 | − | 0.0570194i | \(-0.0181597\pi\) | |||||||
\(864\) | 13.3600 | + | 9.70660i | 0.454516 | + | 0.330225i | ||||
\(865\) | −4.67852 | − | 0.558367i | −0.159074 | − | 0.0189851i | ||||
\(866\) | 16.1014 | + | 49.5549i | 0.547146 | + | 1.68394i | ||||
\(867\) | 13.9884 | + | 19.2533i | 0.475070 | + | 0.653877i | ||||
\(868\) | 1.13648i | 0.0385745i | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 1.35059 | − | 0.267279i | 0.0457892 | − | 0.00906160i | ||||
\(871\) | −1.94694 | + | 1.41453i | −0.0659694 | + | 0.0479296i | ||||
\(872\) | 17.4842 | − | 5.68096i | 0.592090 | − | 0.192382i | ||||
\(873\) | 1.94093 | + | 0.630647i | 0.0656906 | + | 0.0213442i | ||||
\(874\) | −27.2754 | − | 19.8167i | −0.922604 | − | 0.670311i | ||||
\(875\) | −1.05791 | + | 25.0560i | −0.0357637 | + | 0.847048i | ||||
\(876\) | −3.98752 | + | 12.2723i | −0.134726 | + | 0.414644i | ||||
\(877\) | 24.5308 | − | 7.97055i | 0.828347 | − | 0.269146i | 0.135998 | − | 0.990709i | \(-0.456576\pi\) |
0.692349 | + | 0.721563i | \(0.256576\pi\) | |||||||
\(878\) | −34.6426 | − | 47.6815i | −1.16913 | − | 1.60917i | ||||
\(879\) | 27.7221 | 0.935044 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −45.6820 | −1.53906 | −0.769532 | − | 0.638608i | \(-0.779511\pi\) | ||||
−0.769532 | + | 0.638608i | \(0.779511\pi\) | |||||||
\(882\) | 1.72270 | + | 2.37109i | 0.0580062 | + | 0.0798387i | ||||
\(883\) | 4.72324 | − | 1.53467i | 0.158950 | − | 0.0516459i | −0.228461 | − | 0.973553i | \(-0.573369\pi\) |
0.387411 | + | 0.921907i | \(0.373369\pi\) | |||||||
\(884\) | −1.87609 | + | 5.77401i | −0.0630997 | + | 0.194201i | ||||
\(885\) | −0.636721 | + | 1.37762i | −0.0214031 | + | 0.0463081i | ||||
\(886\) | −31.4401 | − | 22.8426i | −1.05625 | − | 0.767411i | ||||
\(887\) | 27.5076 | + | 8.93777i | 0.923615 | + | 0.300101i | 0.731949 | − | 0.681359i | \(-0.238611\pi\) |
0.191666 | + | 0.981460i | \(0.438611\pi\) | |||||||
\(888\) | 10.1725 | − | 3.30524i | 0.341367 | − | 0.110917i | ||||
\(889\) | 4.41031 | − | 3.20428i | 0.147917 | − | 0.107468i | ||||
\(890\) | −7.12641 | − | 36.0104i | −0.238878 | − | 1.20707i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | − | 6.43021i | − | 0.215299i | ||||||
\(893\) | −37.3313 | − | 51.3821i | −1.24924 | − | 1.71944i | ||||
\(894\) | 5.97289 | + | 18.3827i | 0.199763 | + | 0.614808i | ||||
\(895\) | −1.33129 | + | 11.1548i | −0.0445002 | + | 0.372863i | ||||
\(896\) | 24.2823 | + | 17.6421i | 0.811215 | + | 0.589382i | ||||
\(897\) | −16.5517 | + | 22.7814i | −0.552644 | + | 0.760649i | ||||
\(898\) | 49.3984 | + | 16.0505i | 1.64845 | + | 0.535613i | ||||
\(899\) | 0.0399968 | + | 0.123098i | 0.00133397 | + | 0.00410553i | ||||
\(900\) | −1.73948 | + | 2.82618i | −0.0579827 | + | 0.0942060i | ||||
\(901\) | 28.1559 | 0.938010 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 37.2692i | 1.24024i | ||||||||
\(904\) | 0.390933 | − | 0.284030i | 0.0130022 | − | 0.00944668i | ||||
\(905\) | −17.0666 | − | 30.5445i | −0.567314 | − | 1.01533i | ||||
\(906\) | −12.9018 | + | 39.7076i | −0.428633 | + | 1.31920i | ||||
\(907\) | 7.78974 | − | 10.7217i | 0.258654 | − | 0.356007i | −0.659864 | − | 0.751385i | \(-0.729386\pi\) |
0.918519 | + | 0.395378i | \(0.129386\pi\) | |||||||
\(908\) | 1.65081 | − | 2.27214i | 0.0547839 | − | 0.0754036i | ||||
\(909\) | 2.75182 | − | 8.46923i | 0.0912720 | − | 0.280906i | ||||
\(910\) | −26.8034 | + | 14.9763i | −0.888525 | + | 0.496460i | ||||
\(911\) | −11.1099 | + | 8.07183i | −0.368088 | + | 0.267431i | −0.756418 | − | 0.654089i | \(-0.773052\pi\) |
0.388330 | + | 0.921520i | \(0.373052\pi\) | |||||||
\(912\) | 51.4833i | 1.70478i | ||||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 64.7117 | 2.14047 | ||||||||
\(915\) | −5.61556 | − | 5.20114i | −0.185645 | − | 0.171944i | ||||
\(916\) | −0.618563 | − | 1.90374i | −0.0204379 | − | 0.0629014i | ||||
\(917\) | 3.38865 | + | 1.10104i | 0.111903 | + | 0.0363596i | ||||
\(918\) | −8.97313 | + | 12.3505i | −0.296157 | + | 0.407626i | ||||
\(919\) | −48.0394 | − | 34.9027i | −1.58467 | − | 1.15133i | −0.911079 | − | 0.412232i | \(-0.864749\pi\) |
−0.673595 | − | 0.739101i | \(-0.735251\pi\) | |||||||
\(920\) | 2.13317 | − | 17.8737i | 0.0703286 | − | 0.589278i | ||||
\(921\) | 4.19207 | + | 12.9019i | 0.138133 | + | 0.425131i | ||||
\(922\) | −8.64002 | − | 11.8920i | −0.284544 | − | 0.391641i | ||||
\(923\) | 17.1950i | 0.565981i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −4.93842 | − | 11.9885i | −0.162374 | − | 0.394179i | ||||
\(926\) | −5.63652 | + | 4.09517i | −0.185228 | + | 0.134576i | ||||
\(927\) | 8.76383 | − | 2.84754i | 0.287842 | − | 0.0935255i | ||||
\(928\) | −0.713578 | − | 0.231856i | −0.0234244 | − | 0.00761103i | ||||
\(929\) | 15.8471 | + | 11.5136i | 0.519926 | + | 0.377749i | 0.816576 | − | 0.577238i | \(-0.195869\pi\) |
−0.296650 | + | 0.954986i | \(0.595869\pi\) | |||||||
\(930\) | −4.55538 | − | 2.10545i | −0.149377 | − | 0.0690405i | ||||
\(931\) | 3.21618 | − | 9.89839i | 0.105406 | − | 0.324407i | ||||
\(932\) | −7.37371 | + | 2.39586i | −0.241534 | + | 0.0784791i | ||||
\(933\) | −6.38596 | − | 8.78952i | −0.209067 | − | 0.287756i | ||||
\(934\) | 11.1327 | 0.364275 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 6.95320 | 0.227272 | ||||||||
\(937\) | −23.8319 | − | 32.8018i | −0.778554 | − | 1.07159i | −0.995440 | − | 0.0953903i | \(-0.969590\pi\) |
0.216886 | − | 0.976197i | \(-0.430410\pi\) | |||||||
\(938\) | 2.29593 | − | 0.745994i | 0.0749649 | − | 0.0243576i | ||||
\(939\) | −8.68498 | + | 26.7296i | −0.283424 | + | 0.872288i | ||||
\(940\) | −8.31316 | + | 17.9865i | −0.271146 | + | 0.586654i | ||||
\(941\) | −0.331447 | − | 0.240811i | −0.0108049 | − | 0.00785020i | 0.582370 | − | 0.812924i | \(-0.302126\pi\) |
−0.593175 | + | 0.805074i | \(0.702126\pi\) | |||||||
\(942\) | −44.5889 | − | 14.4878i | −1.45278 | − | 0.472038i | ||||
\(943\) | −29.0164 | + | 9.42799i | −0.944903 | + | 0.307018i | ||||
\(944\) | 1.37111 | − | 0.996169i | 0.0446258 | − | 0.0324225i | ||||
\(945\) | −20.4066 | + | 4.03843i | −0.663826 | + | 0.131370i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | − | 2.45729i | − | 0.0798511i | −0.999203 | − | 0.0399256i | \(-0.987288\pi\) | ||
0.999203 | − | 0.0399256i | \(-0.0127121\pi\) | |||||||
\(948\) | 6.19409 | + | 8.52544i | 0.201175 | + | 0.276893i | ||||
\(949\) | −10.1277 | − | 31.1699i | −0.328759 | − | 1.01182i | ||||
\(950\) | 43.6093 | − | 3.34653i | 1.41487 | − | 0.108576i | ||||
\(951\) | −29.8541 | − | 21.6903i | −0.968086 | − | 0.703355i | ||||
\(952\) | −6.12614 | + | 8.43191i | −0.198549 | + | 0.273280i | ||||
\(953\) | −58.0396 | − | 18.8582i | −1.88009 | − | 0.610877i | −0.986935 | − | 0.161122i | \(-0.948489\pi\) |
−0.893152 | − | 0.449755i | \(-0.851511\pi\) | |||||||
\(954\) | 5.82273 | + | 17.9205i | 0.188518 | + | 0.580199i | ||||
\(955\) | −4.73437 | + | 5.11160i | −0.153201 | + | 0.165407i | ||||
\(956\) | −14.7820 | −0.478085 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 34.4309i | 1.11241i | ||||||||
\(959\) | −33.9380 | + | 24.6574i | −1.09592 | + | 0.796230i | ||||
\(960\) | −12.6221 | + | 7.05253i | −0.407375 | + | 0.227619i | ||||
\(961\) | −9.43374 | + | 29.0341i | −0.304314 | + | 0.936582i | ||||
\(962\) | 9.33060 | − | 12.8425i | 0.300830 | − | 0.414058i | ||||
\(963\) | −5.31357 | + | 7.31350i | −0.171227 | + | 0.235674i | ||||
\(964\) | 6.48385 | − | 19.9552i | 0.208831 | − | 0.642715i | ||||
\(965\) | −18.8105 | + | 10.5103i | −0.605530 | + | 0.338337i | ||||
\(966\) | 22.8528 | − | 16.6035i | 0.735276 | − | 0.534209i | ||||
\(967\) | 17.1997i | 0.553106i | 0.960999 | + | 0.276553i | \(0.0891921\pi\) | ||||
−0.960999 | + | 0.276553i | \(0.910808\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −23.2258 | −0.746119 | ||||||||
\(970\) | −5.70213 | + | 6.15647i | −0.183084 | + | 0.197672i | ||||
\(971\) | 8.40803 | + | 25.8773i | 0.269827 | + | 0.830441i | 0.990542 | + | 0.137210i | \(0.0438134\pi\) |
−0.720715 | + | 0.693231i | \(0.756187\pi\) | |||||||
\(972\) | −6.35769 | − | 2.06574i | −0.203923 | − | 0.0662586i | ||||
\(973\) | −15.3301 | + | 21.1000i | −0.491460 | + | 0.676436i | ||||
\(974\) | −21.1220 | − | 15.3461i | −0.676794 | − | 0.491720i | ||||
\(975\) | −2.79514 | − | 36.4241i | −0.0895162 | − | 1.16650i | ||||
\(976\) | 2.64135 | + | 8.12923i | 0.0845474 | + | 0.260210i | ||||
\(977\) | −11.2692 | − | 15.5107i | −0.360532 | − | 0.496230i | 0.589765 | − | 0.807575i | \(-0.299220\pi\) |
−0.950297 | + | 0.311345i | \(0.899220\pi\) | |||||||
\(978\) | − | 11.8516i | − | 0.378971i | ||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | −3.18529 | + | 0.630365i | −0.101750 | + | 0.0201363i | ||||
\(981\) | −6.40716 | + | 4.65508i | −0.204565 | + | 0.148625i | ||||
\(982\) | 30.4182 | − | 9.88348i | 0.970685 | − | 0.315395i | ||||
\(983\) | −22.9494 | − | 7.45672i | −0.731973 | − | 0.237832i | −0.0807665 | − | 0.996733i | \(-0.525737\pi\) |
−0.651206 | + | 0.758901i | \(0.725737\pi\) | |||||||
\(984\) | 26.4154 | + | 19.1919i | 0.842092 | + | 0.611816i | ||||
\(985\) | 13.5066 | − | 29.2232i | 0.430357 | − | 0.931127i | ||||
\(986\) | 0.214336 | − | 0.659657i | 0.00682584 | − | 0.0210078i | ||||
\(987\) | 50.6090 | − | 16.4439i | 1.61090 | − | 0.523414i | ||||
\(988\) | 8.48072 | + | 11.6727i | 0.269808 | + | 0.371358i | ||||
\(989\) | −32.4276 | −1.03114 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 27.7081 | 0.880177 | 0.440089 | − | 0.897954i | \(-0.354947\pi\) | ||||
0.440089 | + | 0.897954i | \(0.354947\pi\) | |||||||
\(992\) | 1.60752 | + | 2.21256i | 0.0510387 | + | 0.0702488i | ||||
\(993\) | 0.879435 | − | 0.285746i | 0.0279080 | − | 0.00906786i | ||||
\(994\) | 5.33020 | − | 16.4047i | 0.169064 | − | 0.520324i | ||||
\(995\) | 30.0358 | + | 13.8823i | 0.952200 | + | 0.440097i | ||||
\(996\) | −3.74952 | − | 2.72418i | −0.118808 | − | 0.0863191i | ||||
\(997\) | 31.8520 | + | 10.3494i | 1.00876 | + | 0.327767i | 0.766362 | − | 0.642408i | \(-0.222065\pi\) |
0.242402 | + | 0.970176i | \(0.422065\pi\) | |||||||
\(998\) | −65.2409 | + | 21.1981i | −2.06517 | + | 0.671013i | ||||
\(999\) | 8.70103 | − | 6.32167i | 0.275288 | − | 0.200009i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))