Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [385,2,Mod(54,385)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(385, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("385.54");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 385 = 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 385.o (of order \(6\), degree \(2\), 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: | \(3.07424047782\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 54.12 | ||
Character | \(\chi\) | \(=\) | 385.54 |
Dual form | 385.2.o.b.164.12 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/385\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(232\) | \(276\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.559049 | + | 0.968301i | −0.395307 | + | 0.684692i | −0.993140 | − | 0.116928i | \(-0.962695\pi\) |
0.597833 | + | 0.801621i | \(0.296029\pi\) | |||||||
\(3\) | 1.09998 | + | 1.90522i | 0.635075 | + | 1.09998i | 0.986499 | + | 0.163765i | \(0.0523639\pi\) |
−0.351425 | + | 0.936216i | \(0.614303\pi\) | |||||||
\(4\) | 0.374928 | + | 0.649395i | 0.187464 | + | 0.324697i | ||||
\(5\) | 2.23591 | − | 0.0266420i | 0.999929 | − | 0.0119147i | ||||
\(6\) | −2.45977 | −1.00420 | ||||||||
\(7\) | 0.753941 | + | 2.53605i | 0.284963 | + | 0.958539i | ||||
\(8\) | −3.07461 | −1.08704 | ||||||||
\(9\) | −0.919918 | + | 1.59334i | −0.306639 | + | 0.531115i | ||||
\(10\) | −1.22419 | + | 2.17993i | −0.387121 | + | 0.689354i | ||||
\(11\) | −0.244502 | − | 3.30760i | −0.0737201 | − | 0.997279i | ||||
\(12\) | −0.824828 | + | 1.42864i | −0.238107 | + | 0.412414i | ||||
\(13\) | 1.32524i | 0.367555i | 0.982968 | + | 0.183778i | \(0.0588326\pi\) | ||||
−0.982968 | + | 0.183778i | \(0.941167\pi\) | |||||||
\(14\) | −2.87716 | − | 0.687737i | −0.768952 | − | 0.183805i | ||||
\(15\) | 2.51022 | + | 4.23060i | 0.648135 | + | 1.09234i | ||||
\(16\) | 0.969001 | − | 1.67836i | 0.242250 | − | 0.419590i | ||||
\(17\) | 1.39627 | − | 0.806134i | 0.338644 | − | 0.195516i | −0.321028 | − | 0.947070i | \(-0.604028\pi\) |
0.659672 | + | 0.751553i | \(0.270695\pi\) | |||||||
\(18\) | −1.02856 | − | 1.78152i | −0.242434 | − | 0.419907i | ||||
\(19\) | 3.85134 | − | 6.67071i | 0.883558 | − | 1.53037i | 0.0362000 | − | 0.999345i | \(-0.488475\pi\) |
0.847358 | − | 0.531022i | \(-0.178192\pi\) | |||||||
\(20\) | 0.855607 | + | 1.44200i | 0.191319 | + | 0.322441i | ||||
\(21\) | −4.00243 | + | 4.22604i | −0.873402 | + | 0.922197i | ||||
\(22\) | 3.33944 | + | 1.61236i | 0.711972 | + | 0.343756i | ||||
\(23\) | −4.13442 | − | 2.38701i | −0.862087 | − | 0.497726i | 0.00262368 | − | 0.999997i | \(-0.499165\pi\) |
−0.864711 | + | 0.502270i | \(0.832498\pi\) | |||||||
\(24\) | −3.38201 | − | 5.85782i | −0.690351 | − | 1.19572i | ||||
\(25\) | 4.99858 | − | 0.119138i | 0.999716 | − | 0.0238276i | ||||
\(26\) | −1.28323 | − | 0.740874i | −0.251662 | − | 0.145297i | ||||
\(27\) | 2.55232 | 0.491194 | ||||||||
\(28\) | −1.36423 | + | 1.44044i | −0.257815 | + | 0.272218i | ||||
\(29\) | − | 1.46178i | − | 0.271446i | −0.990747 | − | 0.135723i | \(-0.956664\pi\) | ||
0.990747 | − | 0.135723i | \(-0.0433358\pi\) | |||||||
\(30\) | −5.49983 | + | 0.0655333i | −1.00413 | + | 0.0119647i | ||||
\(31\) | −5.73309 | + | 3.31000i | −1.02969 | + | 0.594494i | −0.916897 | − | 0.399125i | \(-0.869314\pi\) |
−0.112796 | + | 0.993618i | \(0.535981\pi\) | |||||||
\(32\) | −1.99117 | − | 3.44881i | −0.351993 | − | 0.609669i | ||||
\(33\) | 6.03277 | − | 4.10413i | 1.05017 | − | 0.714437i | ||||
\(34\) | 1.80267i | 0.309156i | ||||||||
\(35\) | 1.75331 | + | 5.65030i | 0.296363 | + | 0.955075i | ||||
\(36\) | −1.37961 | −0.229935 | ||||||||
\(37\) | −6.97627 | − | 4.02775i | −1.14689 | − | 0.662158i | −0.198763 | − | 0.980048i | \(-0.563692\pi\) |
−0.948128 | + | 0.317890i | \(0.897026\pi\) | |||||||
\(38\) | 4.30618 | + | 7.45851i | 0.698554 | + | 1.20993i | ||||
\(39\) | −2.52488 | + | 1.45774i | −0.404304 | + | 0.233425i | ||||
\(40\) | −6.87455 | + | 0.0819137i | −1.08696 | + | 0.0129517i | ||||
\(41\) | −3.08647 | −0.482025 | −0.241012 | − | 0.970522i | \(-0.577479\pi\) | ||||
−0.241012 | + | 0.970522i | \(0.577479\pi\) | |||||||
\(42\) | −1.85452 | − | 6.23812i | −0.286159 | − | 0.962563i | ||||
\(43\) | 1.34053 | 0.204429 | 0.102215 | − | 0.994762i | \(-0.467407\pi\) | ||||
0.102215 | + | 0.994762i | \(0.467407\pi\) | |||||||
\(44\) | 2.05627 | − | 1.39889i | 0.309994 | − | 0.210891i | ||||
\(45\) | −2.01440 | + | 3.58708i | −0.300289 | + | 0.534731i | ||||
\(46\) | 4.62269 | − | 2.66891i | 0.681579 | − | 0.393510i | ||||
\(47\) | 2.43898 | − | 4.22444i | 0.355762 | − | 0.616198i | −0.631486 | − | 0.775387i | \(-0.717555\pi\) |
0.987248 | + | 0.159189i | \(0.0508880\pi\) | |||||||
\(48\) | 4.26353 | 0.615388 | ||||||||
\(49\) | −5.86315 | + | 3.82407i | −0.837592 | + | 0.546296i | ||||
\(50\) | −2.67909 | + | 4.90674i | −0.378881 | + | 0.693917i | ||||
\(51\) | 3.07173 | + | 1.77347i | 0.430129 | + | 0.248335i | ||||
\(52\) | −0.860603 | + | 0.496870i | −0.119344 | + | 0.0689034i | ||||
\(53\) | −7.05204 | + | 4.07150i | −0.968672 | + | 0.559263i | −0.898831 | − | 0.438295i | \(-0.855583\pi\) |
−0.0698412 | + | 0.997558i | \(0.522249\pi\) | |||||||
\(54\) | −1.42687 | + | 2.47141i | −0.194173 | + | 0.336317i | ||||
\(55\) | −0.634805 | − | 7.38898i | −0.0855971 | − | 0.996330i | ||||
\(56\) | −2.31807 | − | 7.79738i | −0.309766 | − | 1.04197i | ||||
\(57\) | 16.9456 | 2.24450 | ||||||||
\(58\) | 1.41545 | + | 0.817209i | 0.185857 | + | 0.107305i | ||||
\(59\) | 4.45176 | − | 2.57023i | 0.579570 | − | 0.334615i | −0.181392 | − | 0.983411i | \(-0.558060\pi\) |
0.760963 | + | 0.648796i | \(0.224727\pi\) | |||||||
\(60\) | −1.80618 | + | 3.21629i | −0.233177 | + | 0.415222i | ||||
\(61\) | −5.68028 | + | 9.83853i | −0.727285 | + | 1.25970i | 0.230741 | + | 0.973015i | \(0.425885\pi\) |
−0.958026 | + | 0.286680i | \(0.907448\pi\) | |||||||
\(62\) | − | 7.40181i | − | 0.940031i | ||||||
\(63\) | −4.73437 | − | 1.13167i | −0.596475 | − | 0.142578i | ||||
\(64\) | 8.32865 | 1.04108 | ||||||||
\(65\) | 0.0353070 | + | 2.96311i | 0.00437929 | + | 0.367529i | ||||
\(66\) | 0.601420 | + | 8.13595i | 0.0740296 | + | 1.00147i | ||||
\(67\) | 1.92548 | − | 1.11168i | 0.235235 | − | 0.135813i | −0.377750 | − | 0.925908i | \(-0.623302\pi\) |
0.612985 | + | 0.790095i | \(0.289969\pi\) | |||||||
\(68\) | 1.04700 | + | 0.604485i | 0.126967 | + | 0.0733046i | ||||
\(69\) | − | 10.5027i | − | 1.26437i | ||||||
\(70\) | −6.45138 | − | 1.46106i | −0.771087 | − | 0.174631i | ||||
\(71\) | 6.16214 | 0.731311 | 0.365656 | − | 0.930750i | \(-0.380845\pi\) | ||||
0.365656 | + | 0.930750i | \(0.380845\pi\) | |||||||
\(72\) | 2.82839 | − | 4.89891i | 0.333329 | − | 0.577342i | ||||
\(73\) | −7.29209 | + | 4.21009i | −0.853474 | + | 0.492754i | −0.861822 | − | 0.507212i | \(-0.830676\pi\) |
0.00834740 | + | 0.999965i | \(0.497343\pi\) | |||||||
\(74\) | 7.80015 | − | 4.50342i | 0.906749 | − | 0.523512i | ||||
\(75\) | 5.72533 | + | 9.39236i | 0.661104 | + | 1.08454i | ||||
\(76\) | 5.77590 | 0.662542 | ||||||||
\(77\) | 8.20391 | − | 3.11381i | 0.934923 | − | 0.354851i | ||||
\(78\) | − | 3.25979i | − | 0.369098i | ||||||
\(79\) | 10.7640 | + | 6.21458i | 1.21104 | + | 0.699195i | 0.962986 | − | 0.269551i | \(-0.0868753\pi\) |
0.248055 | + | 0.968746i | \(0.420209\pi\) | |||||||
\(80\) | 2.12188 | − | 3.77847i | 0.237234 | − | 0.422446i | ||||
\(81\) | 5.56726 | + | 9.64277i | 0.618584 | + | 1.07142i | ||||
\(82\) | 1.72549 | − | 2.98863i | 0.190548 | − | 0.330039i | ||||
\(83\) | − | 8.72553i | − | 0.957752i | −0.877883 | − | 0.478876i | \(-0.841044\pi\) | ||
0.877883 | − | 0.478876i | \(-0.158956\pi\) | |||||||
\(84\) | −4.24499 | − | 1.01470i | −0.463167 | − | 0.110712i | ||||
\(85\) | 3.10045 | − | 1.83964i | 0.336291 | − | 0.199537i | ||||
\(86\) | −0.749424 | + | 1.29804i | −0.0808125 | + | 0.139971i | ||||
\(87\) | 2.78502 | − | 1.60793i | 0.298586 | − | 0.172389i | ||||
\(88\) | 0.751748 | + | 10.1696i | 0.0801366 | + | 1.08408i | ||||
\(89\) | 4.38135 | + | 2.52957i | 0.464422 | + | 0.268134i | 0.713902 | − | 0.700246i | \(-0.246926\pi\) |
−0.249480 | + | 0.968380i | \(0.580260\pi\) | |||||||
\(90\) | −2.34723 | − | 3.95590i | −0.247419 | − | 0.416989i | ||||
\(91\) | −3.36088 | + | 0.999152i | −0.352316 | + | 0.104740i | ||||
\(92\) | − | 3.57983i | − | 0.373223i | ||||||
\(93\) | −12.6126 | − | 7.28188i | −1.30786 | − | 0.755095i | ||||
\(94\) | 2.72702 | + | 4.72334i | 0.281271 | + | 0.487175i | ||||
\(95\) | 8.43352 | − | 15.0177i | 0.865261 | − | 1.54079i | ||||
\(96\) | 4.38050 | − | 7.58725i | 0.447083 | − | 0.774371i | ||||
\(97\) | 5.52259 | 0.560734 | 0.280367 | − | 0.959893i | \(-0.409544\pi\) | ||||
0.280367 | + | 0.959893i | \(0.409544\pi\) | |||||||
\(98\) | −0.425067 | − | 7.81514i | −0.0429382 | − | 0.789448i | ||||
\(99\) | 5.49507 | + | 2.65314i | 0.552275 | + | 0.266651i | ||||
\(100\) | 1.95148 | + | 3.20138i | 0.195148 | + | 0.320138i | ||||
\(101\) | −3.01415 | − | 5.22066i | −0.299919 | − | 0.519476i | 0.676198 | − | 0.736720i | \(-0.263626\pi\) |
−0.976117 | + | 0.217245i | \(0.930293\pi\) | |||||||
\(102\) | −3.43450 | + | 1.98291i | −0.340066 | + | 0.196337i | ||||
\(103\) | 0.585808 | − | 1.01465i | 0.0577213 | − | 0.0999763i | −0.835721 | − | 0.549155i | \(-0.814950\pi\) |
0.893442 | + | 0.449178i | \(0.148283\pi\) | |||||||
\(104\) | − | 4.07459i | − | 0.399547i | ||||||
\(105\) | −8.83648 | + | 9.55567i | −0.862352 | + | 0.932538i | ||||
\(106\) | − | 9.10467i | − | 0.884324i | ||||||
\(107\) | 3.42434 | − | 5.93113i | 0.331043 | − | 0.573384i | −0.651673 | − | 0.758500i | \(-0.725933\pi\) |
0.982717 | + | 0.185116i | \(0.0592660\pi\) | |||||||
\(108\) | 0.956936 | + | 1.65746i | 0.0920812 | + | 0.159489i | ||||
\(109\) | −17.5441 | + | 10.1291i | −1.68042 | + | 0.970191i | −0.719040 | + | 0.694969i | \(0.755418\pi\) |
−0.961381 | + | 0.275222i | \(0.911249\pi\) | |||||||
\(110\) | 7.50965 | + | 3.51612i | 0.716017 | + | 0.335249i | ||||
\(111\) | − | 17.7218i | − | 1.68208i | ||||||
\(112\) | 4.98698 | + | 1.19206i | 0.471225 | + | 0.112639i | ||||
\(113\) | 9.33728i | 0.878377i | 0.898395 | + | 0.439189i | \(0.144734\pi\) | ||||
−0.898395 | + | 0.439189i | \(0.855266\pi\) | |||||||
\(114\) | −9.47342 | + | 16.4085i | −0.887267 | + | 1.53679i | ||||
\(115\) | −9.30779 | − | 5.22699i | −0.867956 | − | 0.487419i | ||||
\(116\) | 0.949275 | − | 0.548064i | 0.0881380 | − | 0.0508865i | ||||
\(117\) | −2.11156 | − | 1.21911i | −0.195214 | − | 0.112707i | ||||
\(118\) | 5.74753i | 0.529103i | ||||||||
\(119\) | 3.09710 | + | 2.93323i | 0.283911 | + | 0.268889i | ||||
\(120\) | −7.71794 | − | 13.0074i | −0.704548 | − | 1.18741i | ||||
\(121\) | −10.8804 | + | 1.61743i | −0.989131 | + | 0.147039i | ||||
\(122\) | −6.35111 | − | 11.0004i | −0.575003 | − | 0.995934i | ||||
\(123\) | −3.39505 | − | 5.88041i | −0.306122 | − | 0.530218i | ||||
\(124\) | −4.29899 | − | 2.48203i | −0.386061 | − | 0.222892i | ||||
\(125\) | 11.1732 | − | 0.399554i | 0.999361 | − | 0.0357372i | ||||
\(126\) | 3.74255 | − | 3.95164i | 0.333413 | − | 0.352040i | ||||
\(127\) | 21.0588 | 1.86867 | 0.934335 | − | 0.356396i | \(-0.115995\pi\) | ||||
0.934335 | + | 0.356396i | \(0.115995\pi\) | |||||||
\(128\) | −0.673784 | + | 1.16703i | −0.0595546 | + | 0.103152i | ||||
\(129\) | 1.47456 | + | 2.55402i | 0.129828 | + | 0.224869i | ||||
\(130\) | −2.88893 | − | 1.62234i | −0.253376 | − | 0.142288i | ||||
\(131\) | 0.533952 | − | 0.924833i | 0.0466516 | − | 0.0808030i | −0.841757 | − | 0.539857i | \(-0.818478\pi\) |
0.888408 | + | 0.459054i | \(0.151812\pi\) | |||||||
\(132\) | 4.92706 | + | 2.37890i | 0.428845 | + | 0.207056i | ||||
\(133\) | 19.8210 | + | 4.73788i | 1.71870 | + | 0.410826i | ||||
\(134\) | 2.48593i | 0.214751i | ||||||||
\(135\) | 5.70675 | − | 0.0679988i | 0.491159 | − | 0.00585241i | ||||
\(136\) | −4.29297 | + | 2.47855i | −0.368119 | + | 0.212534i | ||||
\(137\) | −4.31277 | + | 2.48998i | −0.368465 | + | 0.212733i | −0.672788 | − | 0.739836i | \(-0.734903\pi\) |
0.304323 | + | 0.952569i | \(0.401570\pi\) | |||||||
\(138\) | 10.1697 | + | 5.87151i | 0.865706 | + | 0.499816i | ||||
\(139\) | −7.32649 | −0.621425 | −0.310713 | − | 0.950504i | \(-0.600568\pi\) | ||||
−0.310713 | + | 0.950504i | \(0.600568\pi\) | |||||||
\(140\) | −3.01191 | + | 3.25705i | −0.254553 | + | 0.275271i | ||||
\(141\) | 10.7313 | 0.903742 | ||||||||
\(142\) | −3.44494 | + | 5.96681i | −0.289093 | + | 0.500723i | ||||
\(143\) | 4.38336 | − | 0.324023i | 0.366555 | − | 0.0270962i | ||||
\(144\) | 1.78280 | + | 3.08790i | 0.148567 | + | 0.257325i | ||||
\(145\) | −0.0389448 | − | 3.26842i | −0.00323419 | − | 0.271427i | ||||
\(146\) | − | 9.41458i | − | 0.779156i | ||||||
\(147\) | −13.7351 | − | 6.96420i | −1.13285 | − | 0.574397i | ||||
\(148\) | − | 6.04047i | − | 0.496523i | ||||||
\(149\) | 13.8798 | + | 8.01348i | 1.13707 | + | 0.656490i | 0.945704 | − | 0.325028i | \(-0.105374\pi\) |
0.191369 | + | 0.981518i | \(0.438707\pi\) | |||||||
\(150\) | −12.2954 | + | 0.293053i | −1.00391 | + | 0.0239277i | ||||
\(151\) | −10.1826 | + | 5.87891i | −0.828645 | + | 0.478419i | −0.853389 | − | 0.521275i | \(-0.825456\pi\) |
0.0247434 | + | 0.999694i | \(0.492123\pi\) | |||||||
\(152\) | −11.8414 | + | 20.5098i | −0.960461 | + | 1.66357i | ||||
\(153\) | 2.96631i | 0.239812i | ||||||||
\(154\) | −1.57129 | + | 9.68463i | −0.126618 | + | 0.780410i | ||||
\(155\) | −12.7305 | + | 7.55360i | −1.02254 | + | 0.606720i | ||||
\(156\) | −1.89329 | − | 1.09309i | −0.151585 | − | 0.0875176i | ||||
\(157\) | −9.84176 | − | 17.0464i | −0.785458 | − | 1.36045i | −0.928725 | − | 0.370769i | \(-0.879094\pi\) |
0.143267 | − | 0.989684i | \(-0.454239\pi\) | |||||||
\(158\) | −12.0352 | + | 6.94851i | −0.957467 | + | 0.552794i | ||||
\(159\) | −15.5142 | − | 8.95714i | −1.23036 | − | 0.710348i | ||||
\(160\) | −4.54396 | − | 7.65818i | −0.359232 | − | 0.605432i | ||||
\(161\) | 2.93648 | − | 12.2848i | 0.231427 | − | 0.968177i | ||||
\(162\) | −12.4495 | −0.978123 | ||||||||
\(163\) | 6.24286 | + | 3.60432i | 0.488979 | + | 0.282312i | 0.724151 | − | 0.689642i | \(-0.242232\pi\) |
−0.235172 | + | 0.971954i | \(0.575565\pi\) | |||||||
\(164\) | −1.15720 | − | 2.00433i | −0.0903624 | − | 0.156512i | ||||
\(165\) | 13.3794 | − | 9.33719i | 1.04158 | − | 0.726899i | ||||
\(166\) | 8.44895 | + | 4.87800i | 0.655765 | + | 0.378606i | ||||
\(167\) | 9.99067i | 0.773101i | 0.922268 | + | 0.386550i | \(0.126333\pi\) | ||||
−0.922268 | + | 0.386550i | \(0.873667\pi\) | |||||||
\(168\) | 12.3059 | − | 12.9934i | 0.949421 | − | 1.00246i | ||||
\(169\) | 11.2437 | 0.864903 | ||||||||
\(170\) | 0.0480268 | + | 4.03062i | 0.00368349 | + | 0.309134i | ||||
\(171\) | 7.08583 | + | 12.2730i | 0.541867 | + | 0.938541i | ||||
\(172\) | 0.502604 | + | 0.870535i | 0.0383232 | + | 0.0663777i | ||||
\(173\) | −16.6981 | − | 9.64062i | −1.26953 | − | 0.732963i | −0.294631 | − | 0.955611i | \(-0.595197\pi\) |
−0.974899 | + | 0.222648i | \(0.928530\pi\) | |||||||
\(174\) | 3.59566i | 0.272586i | ||||||||
\(175\) | 4.07078 | + | 12.5868i | 0.307722 | + | 0.951476i | ||||
\(176\) | −5.78826 | − | 2.79471i | −0.436307 | − | 0.210659i | ||||
\(177\) | 9.79371 | + | 5.65440i | 0.736141 | + | 0.425011i | ||||
\(178\) | −4.89877 | + | 2.82831i | −0.367179 | + | 0.211991i | ||||
\(179\) | −3.72196 | − | 6.44662i | −0.278192 | − | 0.481843i | 0.692743 | − | 0.721184i | \(-0.256402\pi\) |
−0.970936 | + | 0.239341i | \(0.923069\pi\) | |||||||
\(180\) | −3.08469 | + | 0.0367556i | −0.229919 | + | 0.00273960i | ||||
\(181\) | 10.2427i | 0.761332i | 0.924713 | + | 0.380666i | \(0.124305\pi\) | ||||
−0.924713 | + | 0.380666i | \(0.875695\pi\) | |||||||
\(182\) | 0.911416 | − | 3.81292i | 0.0675586 | − | 0.282632i | ||||
\(183\) | −24.9928 | −1.84752 | ||||||||
\(184\) | 12.7117 | + | 7.33913i | 0.937122 | + | 0.541047i | ||||
\(185\) | −15.7056 | − | 8.81982i | −1.15470 | − | 0.648446i | ||||
\(186\) | 14.1021 | − | 8.14185i | 1.03402 | − | 0.596990i | ||||
\(187\) | −3.00776 | − | 4.42119i | −0.219949 | − | 0.323309i | ||||
\(188\) | 3.65777 | 0.266771 | ||||||||
\(189\) | 1.92430 | + | 6.47282i | 0.139972 | + | 0.470828i | ||||
\(190\) | 9.82693 | + | 16.5618i | 0.712920 | + | 1.20152i | ||||
\(191\) | −5.41795 | + | 9.38417i | −0.392029 | + | 0.679014i | −0.992717 | − | 0.120469i | \(-0.961560\pi\) |
0.600688 | + | 0.799484i | \(0.294893\pi\) | |||||||
\(192\) | 9.16136 | + | 15.8679i | 0.661164 | + | 1.14517i | ||||
\(193\) | 10.8394 | + | 18.7743i | 0.780235 | + | 1.35141i | 0.931805 | + | 0.362960i | \(0.118234\pi\) |
−0.151569 | + | 0.988447i | \(0.548433\pi\) | |||||||
\(194\) | −3.08740 | + | 5.34753i | −0.221662 | + | 0.383930i | ||||
\(195\) | −5.60656 | + | 3.32664i | −0.401494 | + | 0.238225i | ||||
\(196\) | −4.68159 | − | 2.37374i | −0.334399 | − | 0.169553i | ||||
\(197\) | −5.95062 | −0.423964 | −0.211982 | − | 0.977274i | \(-0.567992\pi\) | ||||
−0.211982 | + | 0.977274i | \(0.567992\pi\) | |||||||
\(198\) | −5.64106 | + | 3.83764i | −0.400892 | + | 0.272729i | ||||
\(199\) | 5.11046 | − | 2.95052i | 0.362271 | − | 0.209157i | −0.307806 | − | 0.951449i | \(-0.599595\pi\) |
0.670076 | + | 0.742292i | \(0.266261\pi\) | |||||||
\(200\) | −15.3687 | + | 0.366303i | −1.08673 | + | 0.0259016i | ||||
\(201\) | 4.23598 | + | 2.44565i | 0.298783 | + | 0.172503i | ||||
\(202\) | 6.74024 | 0.474241 | ||||||||
\(203\) | 3.70716 | − | 1.10210i | 0.260192 | − | 0.0773522i | ||||
\(204\) | 2.65969i | 0.186216i | ||||||||
\(205\) | −6.90106 | + | 0.0822296i | −0.481991 | + | 0.00574316i | ||||
\(206\) | 0.654990 | + | 1.13448i | 0.0456354 | + | 0.0790427i | ||||
\(207\) | 7.60666 | − | 4.39171i | 0.528699 | − | 0.305245i | ||||
\(208\) | 2.22423 | + | 1.28416i | 0.154222 | + | 0.0890403i | ||||
\(209\) | −23.0057 | − | 11.1077i | −1.59134 | − | 0.768335i | ||||
\(210\) | −4.31274 | − | 13.8985i | −0.297608 | − | 0.959085i | ||||
\(211\) | 13.3333i | 0.917905i | 0.888461 | + | 0.458952i | \(0.151775\pi\) | ||||
−0.888461 | + | 0.458952i | \(0.848225\pi\) | |||||||
\(212\) | −5.28802 | − | 3.05304i | −0.363183 | − | 0.209684i | ||||
\(213\) | 6.77824 | + | 11.7403i | 0.464437 | + | 0.804429i | ||||
\(214\) | 3.82875 | + | 6.63159i | 0.261728 | + | 0.453326i | ||||
\(215\) | 2.99731 | − | 0.0357145i | 0.204415 | − | 0.00243571i | ||||
\(216\) | −7.84738 | −0.533947 | ||||||||
\(217\) | −12.7168 | − | 12.0439i | −0.863269 | − | 0.817592i | ||||
\(218\) | − | 22.6506i | − | 1.53409i | ||||||
\(219\) | −16.0423 | − | 9.26204i | −1.08404 | − | 0.625870i | ||||
\(220\) | 4.56036 | − | 3.18258i | 0.307459 | − | 0.214569i | ||||
\(221\) | 1.06832 | + | 1.85039i | 0.0718630 | + | 0.124470i | ||||
\(222\) | 17.1600 | + | 9.90735i | 1.15171 | + | 0.664938i | ||||
\(223\) | −16.9493 | −1.13501 | −0.567506 | − | 0.823369i | \(-0.692092\pi\) | ||||
−0.567506 | + | 0.823369i | \(0.692092\pi\) | |||||||
\(224\) | 7.24514 | − | 7.64992i | 0.484087 | − | 0.511132i | ||||
\(225\) | −4.40845 | + | 8.07406i | −0.293897 | + | 0.538270i | ||||
\(226\) | −9.04130 | − | 5.22000i | −0.601418 | − | 0.347229i | ||||
\(227\) | −17.5343 | + | 10.1234i | −1.16379 | + | 0.671915i | −0.952210 | − | 0.305445i | \(-0.901195\pi\) |
−0.211581 | + | 0.977360i | \(0.567861\pi\) | |||||||
\(228\) | 6.35339 | + | 11.0044i | 0.420763 | + | 0.728783i | ||||
\(229\) | −14.7133 | − | 8.49471i | −0.972280 | − | 0.561346i | −0.0723497 | − | 0.997379i | \(-0.523050\pi\) |
−0.899931 | + | 0.436033i | \(0.856383\pi\) | |||||||
\(230\) | 10.2648 | − | 6.09060i | 0.676842 | − | 0.401602i | ||||
\(231\) | 14.9566 | + | 12.2052i | 0.984075 | + | 0.803041i | ||||
\(232\) | 4.49441i | 0.295073i | ||||||||
\(233\) | 2.72396 | − | 4.71804i | 0.178453 | − | 0.309089i | −0.762898 | − | 0.646519i | \(-0.776224\pi\) |
0.941351 | + | 0.337430i | \(0.109557\pi\) | |||||||
\(234\) | 2.36093 | − | 1.36309i | 0.154339 | − | 0.0891077i | ||||
\(235\) | 5.34080 | − | 9.51045i | 0.348395 | − | 0.620393i | ||||
\(236\) | 3.33818 | + | 1.92730i | 0.217297 | + | 0.125457i | ||||
\(237\) | 27.3437i | 1.77616i | ||||||||
\(238\) | −4.57168 | + | 1.35911i | −0.296338 | + | 0.0880980i | ||||
\(239\) | − | 20.2347i | − | 1.30888i | −0.756116 | − | 0.654438i | \(-0.772905\pi\) | ||
0.756116 | − | 0.654438i | \(-0.227095\pi\) | |||||||
\(240\) | 9.53287 | − | 0.113589i | 0.615344 | − | 0.00733214i | ||||
\(241\) | −14.1647 | − | 24.5339i | −0.912427 | − | 1.58037i | −0.810625 | − | 0.585565i | \(-0.800873\pi\) |
−0.101802 | − | 0.994805i | \(-0.532461\pi\) | |||||||
\(242\) | 4.51654 | − | 11.4398i | 0.290334 | − | 0.735376i | ||||
\(243\) | −8.41928 | + | 14.5826i | −0.540097 | + | 0.935475i | ||||
\(244\) | −8.51879 | −0.545360 | ||||||||
\(245\) | −13.0076 | + | 8.70648i | −0.831024 | + | 0.556237i | ||||
\(246\) | 7.59201 | 0.484049 | ||||||||
\(247\) | 8.84029 | + | 5.10394i | 0.562494 | + | 0.324756i | ||||
\(248\) | 17.6270 | − | 10.1770i | 1.11932 | − | 0.646237i | ||||
\(249\) | 16.6241 | − | 9.59792i | 1.05351 | − | 0.608244i | ||||
\(250\) | −5.85948 | + | 11.0424i | −0.370586 | + | 0.698382i | ||||
\(251\) | 6.70848i | 0.423435i | 0.977331 | + | 0.211718i | \(0.0679057\pi\) | ||||
−0.977331 | + | 0.211718i | \(0.932094\pi\) | |||||||
\(252\) | −1.04015 | − | 3.49877i | −0.0655231 | − | 0.220402i | ||||
\(253\) | −6.88440 | + | 14.2586i | −0.432819 | + | 0.896434i | ||||
\(254\) | −11.7729 | + | 20.3913i | −0.738699 | + | 1.27946i | ||||
\(255\) | 6.91536 | + | 3.88347i | 0.433057 | + | 0.243192i | ||||
\(256\) | 7.57530 | + | 13.1208i | 0.473456 | + | 0.820050i | ||||
\(257\) | −4.33616 | + | 7.51044i | −0.270482 | + | 0.468488i | −0.968985 | − | 0.247118i | \(-0.920516\pi\) |
0.698503 | + | 0.715607i | \(0.253850\pi\) | |||||||
\(258\) | −3.29741 | −0.205288 | ||||||||
\(259\) | 4.95490 | − | 20.7289i | 0.307882 | − | 1.28803i | ||||
\(260\) | −1.91099 | + | 1.13388i | −0.118515 | + | 0.0703205i | ||||
\(261\) | 2.32912 | + | 1.34472i | 0.144169 | + | 0.0832361i | ||||
\(262\) | 0.597011 | + | 1.03405i | 0.0368835 | + | 0.0638840i | ||||
\(263\) | −2.60871 | − | 4.51843i | −0.160860 | − | 0.278618i | 0.774317 | − | 0.632798i | \(-0.218094\pi\) |
−0.935177 | + | 0.354180i | \(0.884760\pi\) | |||||||
\(264\) | −18.5484 | + | 12.6186i | −1.14158 | + | 0.776621i | ||||
\(265\) | −15.6593 | + | 9.29138i | −0.961940 | + | 0.570765i | ||||
\(266\) | −15.6686 | + | 16.5440i | −0.960703 | + | 1.01438i | ||||
\(267\) | 11.1299i | 0.681140i | ||||||||
\(268\) | 1.44383 | + | 0.833597i | 0.0881961 | + | 0.0509201i | ||||
\(269\) | 24.3697 | − | 14.0698i | 1.48584 | − | 0.857852i | 0.485974 | − | 0.873973i | \(-0.338465\pi\) |
0.999870 | + | 0.0161209i | \(0.00513166\pi\) | |||||||
\(270\) | −3.12451 | + | 5.56387i | −0.190152 | + | 0.338606i | ||||
\(271\) | 11.5215 | − | 19.9558i | 0.699881 | − | 1.21223i | −0.268627 | − | 0.963244i | \(-0.586570\pi\) |
0.968507 | − | 0.248985i | \(-0.0800969\pi\) | |||||||
\(272\) | − | 3.12458i | − | 0.189455i | ||||||
\(273\) | −5.60051 | − | 5.30418i | −0.338958 | − | 0.321023i | ||||
\(274\) | − | 5.56808i | − | 0.336380i | ||||||
\(275\) | −1.61622 | − | 16.5042i | −0.0974620 | − | 0.995239i | ||||
\(276\) | 6.82038 | − | 3.93775i | 0.410539 | − | 0.237025i | ||||
\(277\) | 0.0130371 | + | 0.0225810i | 0.000783326 | + | 0.00135676i | 0.866417 | − | 0.499321i | \(-0.166417\pi\) |
−0.865633 | + | 0.500678i | \(0.833084\pi\) | |||||||
\(278\) | 4.09587 | − | 7.09425i | 0.245654 | − | 0.425485i | ||||
\(279\) | − | 12.1797i | − | 0.729180i | ||||||
\(280\) | −5.39074 | − | 17.3725i | −0.322158 | − | 1.03820i | ||||
\(281\) | − | 13.5059i | − | 0.805696i | −0.915267 | − | 0.402848i | \(-0.868020\pi\) | ||
0.915267 | − | 0.402848i | \(-0.131980\pi\) | |||||||
\(282\) | −5.99935 | + | 10.3912i | −0.357256 | + | 0.618785i | ||||
\(283\) | 17.0782 | − | 9.86008i | 1.01519 | − | 0.586121i | 0.102484 | − | 0.994735i | \(-0.467321\pi\) |
0.912707 | + | 0.408614i | \(0.133988\pi\) | |||||||
\(284\) | 2.31036 | + | 4.00166i | 0.137095 | + | 0.237455i | ||||
\(285\) | 37.8888 | − | 0.451465i | 2.24434 | − | 0.0267425i | ||||
\(286\) | −2.13676 | + | 4.42556i | −0.126349 | + | 0.261689i | ||||
\(287\) | −2.32701 | − | 7.82745i | −0.137359 | − | 0.462040i | ||||
\(288\) | 7.32686 | 0.431739 | ||||||||
\(289\) | −7.20029 | + | 12.4713i | −0.423547 | + | 0.733604i | ||||
\(290\) | 3.18658 | + | 1.78949i | 0.187123 | + | 0.105083i | ||||
\(291\) | 6.07474 | + | 10.5218i | 0.356108 | + | 0.616797i | ||||
\(292\) | −5.46802 | − | 3.15696i | −0.319992 | − | 0.184747i | ||||
\(293\) | − | 14.9162i | − | 0.871415i | −0.900088 | − | 0.435707i | \(-0.856498\pi\) | ||
0.900088 | − | 0.435707i | \(-0.143502\pi\) | |||||||
\(294\) | 14.4220 | − | 9.40635i | 0.841109 | − | 0.548590i | ||||
\(295\) | 9.88526 | − | 5.86540i | 0.575542 | − | 0.341497i | ||||
\(296\) | 21.4493 | + | 12.3838i | 1.24671 | + | 0.719791i | ||||
\(297\) | −0.624047 | − | 8.44205i | −0.0362109 | − | 0.489857i | ||||
\(298\) | −15.5189 | + | 8.95985i | −0.898987 | + | 0.519030i | ||||
\(299\) | 3.16336 | − | 5.47910i | 0.182942 | − | 0.316864i | ||||
\(300\) | −3.95276 | + | 7.23946i | −0.228213 | + | 0.417971i | ||||
\(301\) | 1.01068 | + | 3.39967i | 0.0582548 | + | 0.195953i | ||||
\(302\) | − | 13.1464i | − | 0.756489i | ||||||
\(303\) | 6.63102 | − | 11.4853i | 0.380942 | − | 0.659811i | ||||
\(304\) | −7.46390 | − | 12.9279i | −0.428084 | − | 0.741464i | ||||
\(305\) | −12.4385 | + | 22.1494i | −0.712225 | + | 1.26827i | ||||
\(306\) | −2.87228 | − | 1.65831i | −0.164197 | − | 0.0947994i | ||||
\(307\) | − | 4.88287i | − | 0.278680i | −0.990245 | − | 0.139340i | \(-0.955502\pi\) | ||
0.990245 | − | 0.139340i | \(-0.0444981\pi\) | |||||||
\(308\) | 5.09797 | + | 4.16013i | 0.290484 | + | 0.237045i | ||||
\(309\) | 2.57751 | 0.146629 | ||||||||
\(310\) | −0.197199 | − | 16.5498i | −0.0112001 | − | 0.939964i | ||||
\(311\) | −15.8667 | + | 9.16065i | −0.899718 | + | 0.519453i | −0.877109 | − | 0.480292i | \(-0.840531\pi\) |
−0.0226095 | + | 0.999744i | \(0.507197\pi\) | |||||||
\(312\) | 7.76301 | − | 4.48197i | 0.439494 | − | 0.253742i | ||||
\(313\) | 6.18485 | − | 10.7125i | 0.349588 | − | 0.605505i | −0.636588 | − | 0.771204i | \(-0.719655\pi\) |
0.986176 | + | 0.165699i | \(0.0529881\pi\) | |||||||
\(314\) | 22.0081 | 1.24199 | ||||||||
\(315\) | −10.6158 | − | 2.40419i | −0.598131 | − | 0.135461i | ||||
\(316\) | 9.32009i | 0.524296i | ||||||||
\(317\) | 17.8232 | + | 10.2902i | 1.00105 | + | 0.577957i | 0.908559 | − | 0.417756i | \(-0.137183\pi\) |
0.0924921 | + | 0.995713i | \(0.470517\pi\) | |||||||
\(318\) | 17.3464 | − | 10.0150i | 0.972739 | − | 0.561611i | ||||
\(319\) | −4.83500 | + | 0.357409i | −0.270708 | + | 0.0200111i | ||||
\(320\) | 18.6221 | − | 0.221892i | 1.04101 | − | 0.0124041i | ||||
\(321\) | 15.0668 | 0.840949 | ||||||||
\(322\) | 10.2537 | + | 9.71120i | 0.571419 | + | 0.541184i | ||||
\(323\) | − | 12.4188i | − | 0.691000i | ||||||
\(324\) | −4.17464 | + | 7.23069i | −0.231925 | + | 0.401705i | ||||
\(325\) | 0.157886 | + | 6.62431i | 0.00875797 | + | 0.367451i | ||||
\(326\) | −6.98013 | + | 4.02998i | −0.386594 | + | 0.223200i | ||||
\(327\) | −38.5964 | − | 22.2836i | −2.13438 | − | 1.23229i | ||||
\(328\) | 9.48968 | 0.523980 | ||||||||
\(329\) | 12.5523 | + | 3.00041i | 0.692029 | + | 0.165418i | ||||
\(330\) | 1.56148 | + | 18.1752i | 0.0859565 | + | 1.00051i | ||||
\(331\) | 16.5660 | − | 28.6932i | 0.910552 | − | 1.57712i | 0.0972657 | − | 0.995258i | \(-0.468990\pi\) |
0.813286 | − | 0.581864i | \(-0.197676\pi\) | |||||||
\(332\) | 5.66632 | − | 3.27145i | 0.310980 | − | 0.179544i | ||||
\(333\) | 12.8352 | − | 7.41040i | 0.703364 | − | 0.406087i | ||||
\(334\) | −9.67398 | − | 5.58527i | −0.529336 | − | 0.305612i | ||||
\(335\) | 4.27558 | − | 2.53690i | 0.233600 | − | 0.138606i | ||||
\(336\) | 3.21445 | + | 10.8126i | 0.175363 | + | 0.589873i | ||||
\(337\) | 14.9466 | 0.814193 | 0.407097 | − | 0.913385i | \(-0.366541\pi\) | ||||
0.407097 | + | 0.913385i | \(0.366541\pi\) | |||||||
\(338\) | −6.28580 | + | 10.8873i | −0.341903 | + | 0.592193i | ||||
\(339\) | −17.7896 | + | 10.2708i | −0.966199 | + | 0.557835i | ||||
\(340\) | 2.35710 | + | 1.32368i | 0.127832 | + | 0.0717866i | ||||
\(341\) | 12.3499 | + | 18.1535i | 0.668785 | + | 0.983065i | ||||
\(342\) | −15.8453 | −0.856816 | ||||||||
\(343\) | −14.1185 | − | 11.9861i | −0.762328 | − | 0.647190i | ||||
\(344\) | −4.12162 | −0.222223 | ||||||||
\(345\) | −0.279812 | − | 23.4830i | −0.0150646 | − | 1.26428i | ||||
\(346\) | 18.6701 | − | 10.7792i | 1.00371 | − | 0.579491i | ||||
\(347\) | 7.00754 | + | 12.1374i | 0.376184 | + | 0.651570i | 0.990504 | − | 0.137487i | \(-0.0439026\pi\) |
−0.614319 | + | 0.789058i | \(0.710569\pi\) | |||||||
\(348\) | 2.08837 | + | 1.20572i | 0.111948 | + | 0.0646334i | ||||
\(349\) | 18.4855 | 0.989508 | 0.494754 | − | 0.869033i | \(-0.335258\pi\) | ||||
0.494754 | + | 0.869033i | \(0.335258\pi\) | |||||||
\(350\) | −14.4636 | − | 3.09493i | −0.773113 | − | 0.165431i | ||||
\(351\) | 3.38243i | 0.180541i | ||||||||
\(352\) | −10.9204 | + | 7.42924i | −0.582061 | + | 0.395980i | ||||
\(353\) | −6.60263 | − | 11.4361i | −0.351423 | − | 0.608682i | 0.635076 | − | 0.772449i | \(-0.280969\pi\) |
−0.986499 | + | 0.163768i | \(0.947635\pi\) | |||||||
\(354\) | −10.9503 | + | 6.32218i | −0.582004 | + | 0.336020i | ||||
\(355\) | 13.7780 | − | 0.164172i | 0.731259 | − | 0.00871333i | ||||
\(356\) | 3.79363i | 0.201062i | ||||||||
\(357\) | −2.18170 | + | 9.12717i | −0.115468 | + | 0.483061i | ||||
\(358\) | 8.32303 | 0.439886 | ||||||||
\(359\) | −18.6088 | − | 10.7438i | −0.982136 | − | 0.567037i | −0.0792218 | − | 0.996857i | \(-0.525244\pi\) |
−0.902914 | + | 0.429820i | \(0.858577\pi\) | |||||||
\(360\) | 6.19350 | − | 11.0289i | 0.326426 | − | 0.581273i | ||||
\(361\) | −20.1656 | − | 34.9279i | −1.06135 | − | 1.83831i | ||||
\(362\) | −9.91800 | − | 5.72616i | −0.521279 | − | 0.300960i | ||||
\(363\) | −15.0498 | − | 18.9505i | −0.789912 | − | 0.994645i | ||||
\(364\) | −1.90893 | − | 1.80793i | −0.100055 | − | 0.0947611i | ||||
\(365\) | −16.1923 | + | 9.60765i | −0.847543 | + | 0.502887i | ||||
\(366\) | 13.9722 | − | 24.2006i | 0.730339 | − | 1.26498i | ||||
\(367\) | 8.88275 | + | 15.3854i | 0.463676 | + | 0.803110i | 0.999141 | − | 0.0414474i | \(-0.0131969\pi\) |
−0.535465 | + | 0.844558i | \(0.679864\pi\) | |||||||
\(368\) | −8.01252 | + | 4.62603i | −0.417682 | + | 0.241149i | ||||
\(369\) | 2.83929 | − | 4.91780i | 0.147808 | − | 0.256011i | ||||
\(370\) | 17.3204 | − | 10.2770i | 0.900447 | − | 0.534278i | ||||
\(371\) | −15.6424 | − | 14.8147i | −0.812111 | − | 0.769141i | ||||
\(372\) | − | 10.9207i | − | 0.566213i | ||||||
\(373\) | −15.1401 | + | 26.2234i | −0.783924 | + | 1.35780i | 0.145715 | + | 0.989327i | \(0.453452\pi\) |
−0.929640 | + | 0.368470i | \(0.879882\pi\) | |||||||
\(374\) | 5.96253 | − | 0.440757i | 0.308315 | − | 0.0227910i | ||||
\(375\) | 13.0515 | + | 20.8479i | 0.673979 | + | 1.07658i | ||||
\(376\) | −7.49892 | + | 12.9885i | −0.386727 | + | 0.669831i | ||||
\(377\) | 1.93721 | 0.0997715 | ||||||||
\(378\) | −7.34342 | − | 1.75532i | −0.377705 | − | 0.0902841i | ||||
\(379\) | −15.4573 | −0.793990 | −0.396995 | − | 0.917821i | \(-0.629947\pi\) | ||||
−0.396995 | + | 0.917821i | \(0.629947\pi\) | |||||||
\(380\) | 12.9144 | − | 0.153882i | 0.662495 | − | 0.00789396i | ||||
\(381\) | 23.1643 | + | 40.1218i | 1.18674 | + | 2.05550i | ||||
\(382\) | −6.05780 | − | 10.4924i | −0.309944 | − | 0.536839i | ||||
\(383\) | −16.2668 | + | 28.1750i | −0.831197 | + | 1.43968i | 0.0658929 | + | 0.997827i | \(0.479010\pi\) |
−0.897090 | + | 0.441848i | \(0.854323\pi\) | |||||||
\(384\) | −2.96460 | −0.151286 | ||||||||
\(385\) | 18.2603 | − | 7.18076i | 0.930629 | − | 0.365965i | ||||
\(386\) | −24.2390 | −1.23373 | ||||||||
\(387\) | −1.23318 | + | 2.13593i | −0.0626861 | + | 0.108575i | ||||
\(388\) | 2.07057 | + | 3.58634i | 0.105117 | + | 0.182069i | ||||
\(389\) | −14.9186 | − | 25.8398i | −0.756405 | − | 1.31013i | −0.944673 | − | 0.328014i | \(-0.893621\pi\) |
0.188268 | − | 0.982118i | \(-0.439713\pi\) | |||||||
\(390\) | −0.0868472 | − | 7.28859i | −0.00439768 | − | 0.369072i | ||||
\(391\) | −7.69701 | −0.389254 | ||||||||
\(392\) | 18.0269 | − | 11.7575i | 0.910495 | − | 0.593845i | ||||
\(393\) | 2.34935 | 0.118509 | ||||||||
\(394\) | 3.32669 | − | 5.76200i | 0.167596 | − | 0.290285i | ||||
\(395\) | 24.2328 | + | 13.6085i | 1.21929 | + | 0.684716i | ||||
\(396\) | 0.337318 | + | 4.56321i | 0.0169509 | + | 0.229310i | ||||
\(397\) | 1.68551 | − | 2.91938i | 0.0845932 | − | 0.146520i | −0.820625 | − | 0.571468i | \(-0.806374\pi\) |
0.905218 | + | 0.424948i | \(0.139708\pi\) | |||||||
\(398\) | 6.59795i | 0.330725i | ||||||||
\(399\) | 12.7760 | + | 42.9750i | 0.639599 | + | 2.15144i | ||||
\(400\) | 4.64367 | − | 8.50486i | 0.232184 | − | 0.425243i | ||||
\(401\) | −11.1120 | + | 19.2465i | −0.554907 | + | 0.961126i | 0.443004 | + | 0.896520i | \(0.353913\pi\) |
−0.997911 | + | 0.0646068i | \(0.979421\pi\) | |||||||
\(402\) | −4.73624 | + | 2.73447i | −0.236222 | + | 0.136383i | ||||
\(403\) | −4.38654 | − | 7.59771i | −0.218509 | − | 0.378469i | ||||
\(404\) | 2.26018 | − | 3.91475i | 0.112448 | − | 0.194766i | ||||
\(405\) | 12.7048 | + | 21.4120i | 0.631306 | + | 1.06397i | ||||
\(406\) | −1.00532 | + | 4.20578i | −0.0498933 | + | 0.208729i | ||||
\(407\) | −11.6165 | + | 24.0595i | −0.575807 | + | 1.19258i | ||||
\(408\) | −9.44438 | − | 5.45271i | −0.467566 | − | 0.269950i | ||||
\(409\) | 9.22929 | + | 15.9856i | 0.456359 | + | 0.790437i | 0.998765 | − | 0.0496792i | \(-0.0158199\pi\) |
−0.542406 | + | 0.840116i | \(0.682487\pi\) | |||||||
\(410\) | 3.77841 | − | 6.72827i | 0.186602 | − | 0.332286i | ||||
\(411\) | −9.48794 | − | 5.47786i | −0.468005 | − | 0.270203i | ||||
\(412\) | 0.878543 | 0.0432827 | ||||||||
\(413\) | 9.87460 | + | 9.35212i | 0.485897 | + | 0.460188i | ||||
\(414\) | 9.82072i | 0.482662i | ||||||||
\(415\) | −0.232466 | − | 19.5095i | −0.0114113 | − | 0.957684i | ||||
\(416\) | 4.57050 | − | 2.63878i | 0.224087 | − | 0.129377i | ||||
\(417\) | −8.05901 | − | 13.9586i | −0.394651 | − | 0.683556i | ||||
\(418\) | 23.6169 | − | 16.0667i | 1.15514 | − | 0.785849i | ||||
\(419\) | 12.9418i | 0.632250i | 0.948718 | + | 0.316125i | \(0.102382\pi\) | ||||
−0.948718 | + | 0.316125i | \(0.897618\pi\) | |||||||
\(420\) | −9.51845 | − | 2.15567i | −0.464453 | − | 0.105186i | ||||
\(421\) | −2.60803 | −0.127107 | −0.0635537 | − | 0.997978i | \(-0.520243\pi\) | ||||
−0.0635537 | + | 0.997978i | \(0.520243\pi\) | |||||||
\(422\) | −12.9107 | − | 7.45399i | −0.628483 | − | 0.362855i | ||||
\(423\) | 4.48733 | + | 7.77228i | 0.218181 | + | 0.377901i | ||||
\(424\) | 21.6823 | − | 12.5183i | 1.05298 | − | 0.607941i | ||||
\(425\) | 6.88331 | − | 4.19588i | 0.333889 | − | 0.203530i | ||||
\(426\) | −15.1575 | −0.734382 | ||||||||
\(427\) | −29.2337 | − | 6.98783i | −1.41472 | − | 0.338165i | ||||
\(428\) | 5.13553 | 0.248235 | ||||||||
\(429\) | 5.43895 | + | 7.99486i | 0.262595 | + | 0.385996i | ||||
\(430\) | −1.64106 | + | 2.92227i | −0.0791390 | + | 0.140924i | ||||
\(431\) | 0.810938 | − | 0.468195i | 0.0390615 | − | 0.0225522i | −0.480342 | − | 0.877081i | \(-0.659487\pi\) |
0.519404 | + | 0.854529i | \(0.326154\pi\) | |||||||
\(432\) | 2.47320 | − | 4.28371i | 0.118992 | − | 0.206100i | ||||
\(433\) | 20.2866 | 0.974912 | 0.487456 | − | 0.873148i | \(-0.337925\pi\) | ||||
0.487456 | + | 0.873148i | \(0.337925\pi\) | |||||||
\(434\) | 18.7714 | − | 5.58053i | 0.901056 | − | 0.267874i | ||||
\(435\) | 6.18422 | − | 3.66939i | 0.296511 | − | 0.175934i | ||||
\(436\) | −13.1556 | − | 7.59537i | −0.630037 | − | 0.363752i | ||||
\(437\) | −31.8461 | + | 18.3864i | −1.52341 | + | 0.879540i | ||||
\(438\) | 17.9369 | − | 10.3559i | 0.857058 | − | 0.494822i | ||||
\(439\) | −18.0228 | + | 31.2164i | −0.860181 | + | 1.48988i | 0.0115736 | + | 0.999933i | \(0.496316\pi\) |
−0.871754 | + | 0.489943i | \(0.837017\pi\) | |||||||
\(440\) | 1.95178 | + | 22.7182i | 0.0930474 | + | 1.08305i | ||||
\(441\) | −0.699450 | − | 12.8598i | −0.0333071 | − | 0.612373i | ||||
\(442\) | −2.38897 | −0.113632 | ||||||||
\(443\) | −14.6418 | − | 8.45344i | −0.695652 | − | 0.401635i | 0.110074 | − | 0.993923i | \(-0.464891\pi\) |
−0.805726 | + | 0.592288i | \(0.798225\pi\) | |||||||
\(444\) | 11.5084 | − | 6.64440i | 0.546166 | − | 0.315329i | ||||
\(445\) | 9.86368 | + | 5.53916i | 0.467583 | + | 0.262582i | ||||
\(446\) | 9.47551 | − | 16.4121i | 0.448678 | − | 0.777134i | ||||
\(447\) | 35.2587i | 1.66768i | ||||||||
\(448\) | 6.27931 | + | 21.1219i | 0.296670 | + | 0.997917i | ||||
\(449\) | 7.16375 | 0.338078 | 0.169039 | − | 0.985609i | \(-0.445934\pi\) | ||||
0.169039 | + | 0.985609i | \(0.445934\pi\) | |||||||
\(450\) | −5.35358 | − | 8.78251i | −0.252370 | − | 0.414011i | ||||
\(451\) | 0.754647 | + | 10.2088i | 0.0355349 | + | 0.480713i | ||||
\(452\) | −6.06358 | + | 3.50081i | −0.285207 | + | 0.164664i | ||||
\(453\) | −22.4013 | − | 12.9334i | −1.05250 | − | 0.607663i | ||||
\(454\) | − | 22.6380i | − | 1.06245i | ||||||
\(455\) | −7.48800 | + | 2.32355i | −0.351043 | + | 0.108930i | ||||
\(456\) | −52.1011 | −2.43986 | ||||||||
\(457\) | 4.40159 | − | 7.62378i | 0.205898 | − | 0.356625i | −0.744521 | − | 0.667599i | \(-0.767322\pi\) |
0.950418 | + | 0.310974i | \(0.100655\pi\) | |||||||
\(458\) | 16.4509 | − | 9.49792i | 0.768699 | − | 0.443809i | ||||
\(459\) | 3.56371 | − | 2.05751i | 0.166340 | − | 0.0960364i | ||||
\(460\) | −0.0953738 | − | 8.00418i | −0.00444683 | − | 0.373197i | ||||
\(461\) | 8.12390 | 0.378368 | 0.189184 | − | 0.981942i | \(-0.439416\pi\) | ||||
0.189184 | + | 0.981942i | \(0.439416\pi\) | |||||||
\(462\) | −20.1798 | + | 7.65926i | −0.938848 | + | 0.356341i | ||||
\(463\) | − | 20.7991i | − | 0.966618i | −0.875450 | − | 0.483309i | \(-0.839435\pi\) | ||
0.875450 | − | 0.483309i | \(-0.160565\pi\) | |||||||
\(464\) | −2.45340 | − | 1.41647i | −0.113896 | − | 0.0657580i | ||||
\(465\) | −28.3946 | − | 15.9456i | −1.31677 | − | 0.739459i | ||||
\(466\) | 3.04566 | + | 5.27524i | 0.141087 | + | 0.244371i | ||||
\(467\) | −1.62259 | + | 2.81040i | −0.0750843 | + | 0.130050i | −0.901123 | − | 0.433564i | \(-0.857256\pi\) |
0.826039 | + | 0.563614i | \(0.190589\pi\) | |||||||
\(468\) | − | 1.82832i | − | 0.0845140i | ||||||
\(469\) | 4.27097 | + | 4.04498i | 0.197215 | + | 0.186780i | ||||
\(470\) | 6.22321 | + | 10.4883i | 0.287055 | + | 0.483790i | ||||
\(471\) | 21.6515 | − | 37.5015i | 0.997649 | − | 1.72798i | ||||
\(472\) | −13.6874 | + | 7.90244i | −0.630015 | + | 0.363739i | ||||
\(473\) | −0.327763 | − | 4.43395i | −0.0150706 | − | 0.203873i | ||||
\(474\) | −26.4769 | − | 15.2865i | −1.21613 | − | 0.702130i | ||||
\(475\) | 18.4565 | − | 33.8029i | 0.846842 | − | 1.55099i | ||||
\(476\) | −0.743632 | + | 3.11099i | −0.0340843 | + | 0.142592i | ||||
\(477\) | − | 14.9818i | − | 0.685968i | ||||||
\(478\) | 19.5933 | + | 11.3122i | 0.896177 | + | 0.517408i | ||||
\(479\) | −13.0871 | − | 22.6676i | −0.597966 | − | 1.03571i | −0.993121 | − | 0.117093i | \(-0.962642\pi\) |
0.395155 | − | 0.918615i | \(-0.370691\pi\) | |||||||
\(480\) | 9.59227 | − | 17.0811i | 0.437825 | − | 0.779643i | ||||
\(481\) | 5.33773 | − | 9.24522i | 0.243379 | − | 0.421546i | ||||
\(482\) | 31.6750 | 1.44276 | ||||||||
\(483\) | 26.6353 | − | 7.91839i | 1.21195 | − | 0.360299i | ||||
\(484\) | −5.12973 | − | 6.45928i | −0.233170 | − | 0.293604i | ||||
\(485\) | 12.3480 | − | 0.147133i | 0.560694 | − | 0.00668095i | ||||
\(486\) | −9.41358 | − | 16.3048i | −0.427009 | − | 0.739601i | ||||
\(487\) | −13.9450 | + | 8.05115i | −0.631908 | + | 0.364833i | −0.781491 | − | 0.623917i | \(-0.785540\pi\) |
0.149582 | + | 0.988749i | \(0.452207\pi\) | |||||||
\(488\) | 17.4646 | − | 30.2497i | 0.790587 | − | 1.36934i | ||||
\(489\) | 15.8587i | 0.717156i | ||||||||
\(490\) | −1.15862 | − | 17.4626i | −0.0523412 | − | 0.788880i | ||||
\(491\) | 2.72219i | 0.122851i | 0.998112 | + | 0.0614253i | \(0.0195646\pi\) | ||||
−0.998112 | + | 0.0614253i | \(0.980435\pi\) | |||||||
\(492\) | 2.54580 | − | 4.40946i | 0.114774 | − | 0.198794i | ||||
\(493\) | −1.17839 | − | 2.04104i | −0.0530722 | − | 0.0919238i | ||||
\(494\) | −9.88431 | + | 5.70671i | −0.444716 | + | 0.256757i | ||||
\(495\) | 12.3572 | + | 5.78579i | 0.555413 | + | 0.260052i | ||||
\(496\) | 12.8296i | 0.576065i | ||||||||
\(497\) | 4.64589 | + | 15.6275i | 0.208397 | + | 0.700990i | ||||
\(498\) | 21.4628i | 0.961773i | ||||||||
\(499\) | 0.531976 | − | 0.921410i | 0.0238145 | − | 0.0412480i | −0.853873 | − | 0.520482i | \(-0.825752\pi\) |
0.877687 | + | 0.479234i | \(0.159086\pi\) | |||||||
\(500\) | 4.44862 | + | 7.10601i | 0.198948 | + | 0.317791i | ||||
\(501\) | −19.0345 | + | 10.9895i | −0.850397 | + | 0.490977i | ||||
\(502\) | −6.49583 | − | 3.75037i | −0.289923 | − | 0.167387i | ||||
\(503\) | 0.0383442i | 0.00170968i | 1.00000 | 0.000854841i | \(0.000272104\pi\) | |||||
−1.00000 | 0.000854841i | \(0.999728\pi\) | ||||||||
\(504\) | 14.5563 | + | 3.47946i | 0.648391 | + | 0.154987i | ||||
\(505\) | −6.87846 | − | 11.5926i | −0.306087 | − | 0.515865i | ||||
\(506\) | −9.95795 | − | 14.6375i | −0.442685 | − | 0.650714i | ||||
\(507\) | 12.3679 | + | 21.4218i | 0.549278 | + | 0.951377i | ||||
\(508\) | 7.89555 | + | 13.6755i | 0.350309 | + | 0.606752i | ||||
\(509\) | 34.7656 | + | 20.0719i | 1.54096 | + | 0.889672i | 0.998779 | + | 0.0494082i | \(0.0157335\pi\) |
0.542178 | + | 0.840264i | \(0.317600\pi\) | |||||||
\(510\) | −7.62640 | + | 4.52511i | −0.337703 | + | 0.200375i | ||||
\(511\) | −16.1748 | − | 15.3190i | −0.715532 | − | 0.677671i | ||||
\(512\) | −19.6350 | −0.867752 | ||||||||
\(513\) | 9.82984 | − | 17.0258i | 0.433998 | − | 0.751707i | ||||
\(514\) | −4.84825 | − | 8.39741i | −0.213847 | − | 0.370394i | ||||
\(515\) | 1.28278 | − | 2.28427i | 0.0565261 | − | 0.100657i | ||||
\(516\) | −1.10571 | + | 1.91515i | −0.0486762 | + | 0.0843096i | ||||
\(517\) | −14.5691 | − | 7.03430i | −0.640748 | − | 0.309368i | ||||
\(518\) | 17.3018 | + | 16.3863i | 0.760196 | + | 0.719972i | ||||
\(519\) | − | 42.4180i | − | 1.86194i | ||||||
\(520\) | −0.108555 | − | 9.11042i | −0.00476046 | − | 0.399518i | ||||
\(521\) | −33.6164 | + | 19.4084i | −1.47276 | + | 0.850299i | −0.999530 | − | 0.0306396i | \(-0.990246\pi\) |
−0.473231 | + | 0.880939i | \(0.656912\pi\) | |||||||
\(522\) | −2.60419 | + | 1.50353i | −0.113982 | + | 0.0658077i | ||||
\(523\) | −19.3705 | − | 11.1836i | −0.847015 | − | 0.489024i | 0.0126276 | − | 0.999920i | \(-0.495980\pi\) |
−0.859643 | + | 0.510896i | \(0.829314\pi\) | |||||||
\(524\) | 0.800775 | 0.0349820 | ||||||||
\(525\) | −19.5030 | + | 21.6010i | −0.851180 | + | 0.942747i | ||||
\(526\) | 5.83360 | 0.254357 | ||||||||
\(527\) | −5.33661 | + | 9.24328i | −0.232466 | + | 0.402644i | ||||
\(528\) | −1.04244 | − | 14.1021i | −0.0453665 | − | 0.613713i | ||||
\(529\) | −0.104361 | − | 0.180759i | −0.00453744 | − | 0.00785908i | ||||
\(530\) | −0.242566 | − | 20.3572i | −0.0105364 | − | 0.884261i | ||||
\(531\) | 9.45759i | 0.410424i | ||||||||
\(532\) | 4.35469 | + | 14.6480i | 0.188800 | + | 0.635072i | ||||
\(533\) | − | 4.09030i | − | 0.177171i | ||||||
\(534\) | −10.7771 | − | 6.22217i | −0.466372 | − | 0.269260i | ||||
\(535\) | 7.49850 | − | 13.3527i | 0.324188 | − | 0.577288i | ||||
\(536\) | −5.92010 | + | 3.41797i | −0.255709 | + | 0.147634i | ||||
\(537\) | 8.18817 | − | 14.1823i | 0.353346 | − | 0.612013i | ||||
\(538\) | 31.4629i | 1.35646i | ||||||||
\(539\) | 14.0820 | + | 18.4579i | 0.606557 | + | 0.795040i | ||||
\(540\) | 2.18378 | + | 3.68044i | 0.0939750 | + | 0.158381i | ||||
\(541\) | −4.72856 | − | 2.73004i | −0.203297 | − | 0.117373i | 0.394895 | − | 0.918726i | \(-0.370781\pi\) |
−0.598192 | + | 0.801353i | \(0.704114\pi\) | |||||||
\(542\) | 12.8822 | + | 22.3126i | 0.553336 | + | 0.958406i | ||||
\(543\) | −19.5146 | + | 11.2668i | −0.837451 | + | 0.483503i | ||||
\(544\) | −5.56041 | − | 3.21030i | −0.238401 | − | 0.137641i | ||||
\(545\) | −38.9572 | + | 23.1151i | −1.66874 | + | 0.990144i | ||||
\(546\) | 8.26700 | − | 2.45769i | 0.353795 | − | 0.105179i | ||||
\(547\) | 10.2488 | 0.438206 | 0.219103 | − | 0.975702i | \(-0.429687\pi\) | ||||
0.219103 | + | 0.975702i | \(0.429687\pi\) | |||||||
\(548\) | −3.23396 | − | 1.86713i | −0.138148 | − | 0.0797597i | ||||
\(549\) | −10.4508 | − | 18.1013i | −0.446029 | − | 0.772544i | ||||
\(550\) | 16.8846 | + | 7.66165i | 0.719960 | + | 0.326694i | ||||
\(551\) | −9.75114 | − | 5.62982i | −0.415413 | − | 0.239839i | ||||
\(552\) | 32.2916i | 1.37442i | ||||||||
\(553\) | −7.64512 | + | 31.9834i | −0.325103 | + | 1.36007i | ||||
\(554\) | −0.0291536 | −0.00123862 | ||||||||
\(555\) | −0.472144 | − | 39.6243i | −0.0200414 | − | 1.68196i | ||||
\(556\) | −2.74691 | − | 4.75779i | −0.116495 | − | 0.201775i | ||||
\(557\) | 12.6616 | + | 21.9305i | 0.536489 | + | 0.929227i | 0.999090 | + | 0.0426598i | \(0.0135832\pi\) |
−0.462600 | + | 0.886567i | \(0.653083\pi\) | |||||||
\(558\) | 11.7936 | + | 6.80906i | 0.499264 | + | 0.288250i | ||||
\(559\) | 1.77653i | 0.0751391i | ||||||||
\(560\) | 11.1822 | + | 2.53247i | 0.472534 | + | 0.107016i | ||||
\(561\) | 5.11487 | − | 10.5937i | 0.215950 | − | 0.447265i | ||||
\(562\) | 13.0778 | + | 7.55048i | 0.551654 | + | 0.318498i | ||||
\(563\) | −9.39779 | + | 5.42581i | −0.396069 | + | 0.228671i | −0.684787 | − | 0.728744i | \(-0.740105\pi\) |
0.288717 | + | 0.957414i | \(0.406771\pi\) | |||||||
\(564\) | 4.02348 | + | 6.96888i | 0.169419 | + | 0.293443i | ||||
\(565\) | 0.248764 | + | 20.8773i | 0.0104656 | + | 0.878315i | ||||
\(566\) | 22.0491i | 0.926792i | ||||||||
\(567\) | −20.2572 | + | 21.3889i | −0.850723 | + | 0.898251i | ||||
\(568\) | −18.9462 | −0.794964 | ||||||||
\(569\) | 21.3508 | + | 12.3269i | 0.895074 | + | 0.516771i | 0.875599 | − | 0.483039i | \(-0.160467\pi\) |
0.0194753 | + | 0.999810i | \(0.493800\pi\) | |||||||
\(570\) | −20.7446 | + | 36.9402i | −0.868894 | + | 1.54725i | ||||
\(571\) | 14.7897 | − | 8.53883i | 0.618929 | − | 0.357339i | −0.157523 | − | 0.987515i | \(-0.550351\pi\) |
0.776452 | + | 0.630176i | \(0.217017\pi\) | |||||||
\(572\) | 1.85386 | + | 2.72505i | 0.0775140 | + | 0.113940i | ||||
\(573\) | −23.8386 | −0.995871 | ||||||||
\(574\) | 8.88024 | + | 2.12268i | 0.370654 | + | 0.0885988i | ||||
\(575\) | −20.9506 | − | 11.4391i | −0.873702 | − | 0.477043i | ||||
\(576\) | −7.66168 | + | 13.2704i | −0.319237 | + | 0.552934i | ||||
\(577\) | −1.66785 | − | 2.88880i | −0.0694335 | − | 0.120262i | 0.829219 | − | 0.558924i | \(-0.188786\pi\) |
−0.898652 | + | 0.438662i | \(0.855453\pi\) | |||||||
\(578\) | −8.05064 | − | 13.9441i | −0.334862 | − | 0.579999i | ||||
\(579\) | −23.8462 | + | 41.3029i | −0.991015 | + | 1.71649i | ||||
\(580\) | 2.10789 | − | 1.25071i | 0.0875254 | − | 0.0519330i | ||||
\(581\) | 22.1284 | − | 6.57854i | 0.918042 | − | 0.272924i | ||||
\(582\) | −13.5843 | −0.563088 | ||||||||
\(583\) | 15.1911 | + | 22.3298i | 0.629152 | + | 0.924808i | ||||
\(584\) | 22.4203 | − | 12.9444i | 0.927759 | − | 0.535642i | ||||
\(585\) | −4.75374 | − | 2.66956i | −0.196543 | − | 0.110373i | ||||
\(586\) | 14.4434 | + | 8.33890i | 0.596651 | + | 0.344477i | ||||
\(587\) | 34.5724 | 1.42696 | 0.713479 | − | 0.700677i | \(-0.247118\pi\) | ||||
0.713479 | + | 0.700677i | \(0.247118\pi\) | |||||||
\(588\) | −0.627149 | − | 11.5306i | −0.0258632 | − | 0.475512i | ||||
\(589\) | 50.9917i | 2.10108i | ||||||||
\(590\) | 0.153126 | + | 12.8510i | 0.00630408 | + | 0.529066i | ||||
\(591\) | −6.54558 | − | 11.3373i | −0.269249 | − | 0.466353i | ||||
\(592\) | −13.5200 | + | 7.80579i | −0.555669 | + | 0.320816i | ||||
\(593\) | 9.68396 | + | 5.59103i | 0.397672 | + | 0.229596i | 0.685479 | − | 0.728092i | \(-0.259593\pi\) |
−0.287807 | + | 0.957689i | \(0.592926\pi\) | |||||||
\(594\) | 8.52332 | + | 4.11525i | 0.349716 | + | 0.168851i | ||||
\(595\) | 7.00299 | + | 6.47592i | 0.287095 | + | 0.265487i | ||||
\(596\) | 12.0179i | 0.492273i | ||||||||
\(597\) | 11.2428 | + | 6.49104i | 0.460138 | + | 0.265661i | ||||
\(598\) | 3.53695 | + | 6.12617i | 0.144636 | + | 0.250518i | ||||
\(599\) | 4.97988 | + | 8.62541i | 0.203473 | + | 0.352425i | 0.949645 | − | 0.313328i | \(-0.101444\pi\) |
−0.746172 | + | 0.665753i | \(0.768111\pi\) | |||||||
\(600\) | −17.6032 | − | 28.8778i | −0.718646 | − | 1.17893i | ||||
\(601\) | 9.46743 | 0.386185 | 0.193092 | − | 0.981181i | \(-0.438148\pi\) | ||||
0.193092 | + | 0.981181i | \(0.438148\pi\) | |||||||
\(602\) | −3.85692 | − | 0.921934i | −0.157196 | − | 0.0375752i | ||||
\(603\) | 4.09060i | 0.166582i | ||||||||
\(604\) | −7.63546 | − | 4.40834i | −0.310683 | − | 0.179373i | ||||
\(605\) | −24.2846 | + | 3.90630i | −0.987309 | + | 0.158814i | ||||
\(606\) | 7.41413 | + | 12.8417i | 0.301179 | + | 0.521657i | ||||
\(607\) | 21.0223 | + | 12.1372i | 0.853268 | + | 0.492634i | 0.861752 | − | 0.507330i | \(-0.169367\pi\) |
−0.00848425 | + | 0.999964i | \(0.502701\pi\) | |||||||
\(608\) | −30.6747 | −1.24402 | ||||||||
\(609\) | 6.17755 | + | 5.85069i | 0.250327 | + | 0.237082i | ||||
\(610\) | −14.4936 | − | 24.4268i | −0.586828 | − | 0.989012i | ||||
\(611\) | 5.59840 | + | 3.23224i | 0.226487 | + | 0.130762i | ||||
\(612\) | −1.92631 | + | 1.11215i | −0.0778663 | + | 0.0449561i | ||||
\(613\) | 2.45535 | + | 4.25279i | 0.0991706 | + | 0.171769i | 0.911342 | − | 0.411651i | \(-0.135048\pi\) |
−0.812171 | + | 0.583419i | \(0.801714\pi\) | |||||||
\(614\) | 4.72809 | + | 2.72976i | 0.190810 | + | 0.110164i | ||||
\(615\) | −7.74770 | − | 13.0576i | −0.312417 | − | 0.526534i | ||||
\(616\) | −25.2238 | + | 9.57374i | −1.01630 | + | 0.385737i | ||||
\(617\) | 5.24697i | 0.211235i | 0.994407 | + | 0.105618i | \(0.0336819\pi\) | ||||
−0.994407 | + | 0.105618i | \(0.966318\pi\) | |||||||
\(618\) | −1.44095 | + | 2.49581i | −0.0579637 | + | 0.100396i | ||||
\(619\) | 17.6600 | − | 10.1960i | 0.709817 | − | 0.409813i | −0.101176 | − | 0.994869i | \(-0.532261\pi\) |
0.810993 | + | 0.585055i | \(0.198927\pi\) | |||||||
\(620\) | −9.67829 | − | 5.43505i | −0.388689 | − | 0.218277i | ||||
\(621\) | −10.5524 | − | 6.09241i | −0.423452 | − | 0.244480i | ||||
\(622\) | − | 20.4850i | − | 0.821374i | ||||||
\(623\) | −3.11185 | + | 13.0185i | −0.124674 | + | 0.521574i | ||||
\(624\) | 5.65020i | 0.226189i | ||||||||
\(625\) | 24.9716 | − | 1.19104i | 0.998864 | − | 0.0476417i | ||||
\(626\) | 6.91527 | + | 11.9776i | 0.276390 | + | 0.478721i | ||||
\(627\) | −4.14323 | − | 56.0493i | −0.165465 | − | 2.23839i | ||||
\(628\) | 7.37991 | − | 12.7824i | 0.294490 | − | 0.510072i | ||||
\(629\) | −12.9876 | −0.517851 | ||||||||
\(630\) | 8.26272 | − | 8.93521i | 0.329195 | − | 0.355987i | ||||
\(631\) | 11.3835 | 0.453171 | 0.226585 | − | 0.973991i | \(-0.427244\pi\) | ||||
0.226585 | + | 0.973991i | \(0.427244\pi\) | |||||||
\(632\) | −33.0950 | − | 19.1074i | −1.31645 | − | 0.760052i | ||||
\(633\) | −25.4030 | + | 14.6664i | −1.00968 | + | 0.582938i | ||||
\(634\) | −19.9281 | + | 11.5055i | −0.791446 | + | 0.456942i | ||||
\(635\) | 47.0857 | − | 0.561049i | 1.86854 | − | 0.0222646i | ||||
\(636\) | − | 13.4331i | − | 0.532659i | ||||||
\(637\) | −5.06781 | − | 7.77007i | −0.200794 | − | 0.307861i | ||||
\(638\) | 2.35692 | − | 4.88154i | 0.0933114 | − | 0.193262i | ||||
\(639\) | −5.66866 | + | 9.81841i | −0.224249 | + | 0.388410i | ||||
\(640\) | −1.47543 | + | 2.62732i | −0.0583214 | + | 0.103854i | ||||
\(641\) | −19.6379 | − | 34.0139i | −0.775652 | − | 1.34347i | −0.934427 | − | 0.356154i | \(-0.884088\pi\) |
0.158776 | − | 0.987315i | \(-0.449245\pi\) | |||||||
\(642\) | −8.42310 | + | 14.5892i | −0.332433 | + | 0.575791i | ||||
\(643\) | −13.0937 | −0.516365 | −0.258183 | − | 0.966096i | \(-0.583124\pi\) | ||||
−0.258183 | + | 0.966096i | \(0.583124\pi\) | |||||||
\(644\) | 9.07865 | − | 2.69898i | 0.357749 | − | 0.106355i | ||||
\(645\) | 3.36503 | + | 5.67126i | 0.132498 | + | 0.223306i | ||||
\(646\) | 12.0251 | + | 6.94271i | 0.473122 | + | 0.273157i | ||||
\(647\) | −2.83360 | − | 4.90795i | −0.111401 | − | 0.192951i | 0.804935 | − | 0.593363i | \(-0.202200\pi\) |
−0.916335 | + | 0.400412i | \(0.868867\pi\) | |||||||
\(648\) | −17.1171 | − | 29.6478i | −0.672425 | − | 1.16467i | ||||
\(649\) | −9.58975 | − | 14.0962i | −0.376431 | − | 0.553325i | ||||
\(650\) | −6.50260 | − | 3.55043i | −0.255053 | − | 0.139259i | ||||
\(651\) | 8.95809 | − | 37.4763i | 0.351095 | − | 1.46881i | ||||
\(652\) | 5.40544i | 0.211693i | ||||||||
\(653\) | 9.70026 | + | 5.60045i | 0.379601 | + | 0.219163i | 0.677644 | − | 0.735390i | \(-0.263001\pi\) |
−0.298044 | + | 0.954552i | \(0.596334\pi\) | |||||||
\(654\) | 43.1545 | − | 24.9153i | 1.68748 | − | 0.974265i | ||||
\(655\) | 1.16923 | − | 2.08207i | 0.0456856 | − | 0.0813531i | ||||
\(656\) | −2.99079 | + | 5.18020i | −0.116771 | + | 0.202253i | ||||
\(657\) | − | 15.4917i | − | 0.604390i | ||||||
\(658\) | −9.92264 | + | 10.4770i | −0.386825 | + | 0.408436i | ||||
\(659\) | 32.8192i | 1.27845i | 0.769019 | + | 0.639226i | \(0.220745\pi\) | ||||
−0.769019 | + | 0.639226i | \(0.779255\pi\) | |||||||
\(660\) | 11.0798 | + | 5.18773i | 0.431282 | + | 0.201932i | ||||
\(661\) | 16.1867 | − | 9.34537i | 0.629588 | − | 0.363493i | −0.151004 | − | 0.988533i | \(-0.548251\pi\) |
0.780593 | + | 0.625040i | \(0.214917\pi\) | |||||||
\(662\) | 18.5225 | + | 32.0818i | 0.719896 | + | 1.24690i | ||||
\(663\) | −2.35027 | + | 4.07078i | −0.0912767 | + | 0.158096i | ||||
\(664\) | 26.8276i | 1.04111i | ||||||||
\(665\) | 44.4441 | + | 10.0654i | 1.72347 | + | 0.390320i | ||||
\(666\) | 16.5711i | 0.642117i | ||||||||
\(667\) | −3.48929 | + | 6.04363i | −0.135106 | + | 0.234010i | ||||
\(668\) | −6.48789 | + | 3.74578i | −0.251024 | + | 0.144929i | ||||
\(669\) | −18.6440 | − | 32.2923i | −0.720817 | − | 1.24849i | ||||
\(670\) | 0.0662300 | + | 5.55830i | 0.00255869 | + | 0.214736i | ||||
\(671\) | 33.9308 | + | 16.3826i | 1.30988 | + | 0.632442i | ||||
\(672\) | 22.5443 | + | 5.38885i | 0.869666 | + | 0.207879i | ||||
\(673\) | −7.66200 | −0.295348 | −0.147674 | − | 0.989036i | \(-0.547179\pi\) | ||||
−0.147674 | + | 0.989036i | \(0.547179\pi\) | |||||||
\(674\) | −8.35588 | + | 14.4728i | −0.321857 | + | 0.557472i | ||||
\(675\) | 12.7580 | − | 0.304078i | 0.491054 | − | 0.0117040i | ||||
\(676\) | 4.21560 | + | 7.30163i | 0.162138 | + | 0.280832i | ||||
\(677\) | −12.4332 | − | 7.17832i | −0.477847 | − | 0.275885i | 0.241672 | − | 0.970358i | \(-0.422304\pi\) |
−0.719519 | + | 0.694473i | \(0.755638\pi\) | |||||||
\(678\) | − | 22.9676i | − | 0.882065i | ||||||
\(679\) | 4.16370 | + | 14.0056i | 0.159788 | + | 0.537485i | ||||
\(680\) | −9.53266 | + | 5.65618i | −0.365561 | + | 0.216905i | ||||
\(681\) | −38.5748 | − | 22.2711i | −1.47819 | − | 0.853432i | ||||
\(682\) | −24.4822 | + | 1.80976i | −0.937473 | + | 0.0692992i | ||||
\(683\) | 39.9734 | − | 23.0786i | 1.52954 | − | 0.883079i | 0.530157 | − | 0.847900i | \(-0.322133\pi\) |
0.999381 | − | 0.0351794i | \(-0.0112003\pi\) | |||||||
\(684\) | −5.31336 | + | 9.20300i | −0.203161 | + | 0.351886i | ||||
\(685\) | −9.57663 | + | 5.68227i | −0.365904 | + | 0.217108i | ||||
\(686\) | 19.4991 | − | 6.97014i | 0.744480 | − | 0.266121i | ||||
\(687\) | − | 37.3761i | − | 1.42599i | ||||||
\(688\) | 1.29898 | − | 2.24990i | 0.0495231 | − | 0.0857765i | ||||
\(689\) | −5.39571 | − | 9.34564i | −0.205560 | − | 0.356041i | ||||
\(690\) | 22.8951 | + | 12.8572i | 0.871600 | + | 0.489466i | ||||
\(691\) | −3.07104 | − | 1.77306i | −0.116828 | − | 0.0674505i | 0.440447 | − | 0.897778i | \(-0.354820\pi\) |
−0.557275 | + | 0.830328i | \(0.688153\pi\) | |||||||
\(692\) | − | 14.4582i | − | 0.549617i | ||||||
\(693\) | −2.58556 | + | 15.9361i | −0.0982174 | + | 0.605363i | ||||
\(694\) | −15.6702 | −0.594834 | ||||||||
\(695\) | −16.3814 | + | 0.195192i | −0.621381 | + | 0.00740407i | ||||
\(696\) | −8.56286 | + | 4.94377i | −0.324575 | + | 0.187393i | ||||
\(697\) | −4.30953 | + | 2.48811i | −0.163235 | + | 0.0942437i | ||||
\(698\) | −10.3343 | + | 17.8996i | −0.391160 | + | 0.677509i | ||||
\(699\) | 11.9852 | 0.453323 | ||||||||
\(700\) | −6.64759 | + | 7.36271i | −0.251255 | + | 0.278284i | ||||
\(701\) | 29.8738i | 1.12832i | 0.825666 | + | 0.564159i | \(0.190799\pi\) | ||||
−0.825666 | + | 0.564159i | \(0.809201\pi\) | |||||||
\(702\) | −3.27521 | − | 1.89095i | −0.123615 | − | 0.0713691i | ||||
\(703\) | −53.7359 | + | 31.0245i | −2.02669 | + | 1.17011i | ||||
\(704\) | −2.03637 | − | 27.5479i | −0.0767487 | − | 1.03825i | ||||
\(705\) | 23.9943 | − | 0.285904i | 0.903678 | − | 0.0107678i | ||||
\(706\) | 14.7648 | 0.555680 | ||||||||
\(707\) | 10.9674 | − | 11.5801i | 0.412471 | − | 0.435516i | ||||
\(708\) | 8.47998i | 0.318697i | ||||||||
\(709\) | −15.6464 | + | 27.1003i | −0.587611 | + | 1.01777i | 0.406933 | + | 0.913458i | \(0.366598\pi\) |
−0.994544 | + | 0.104315i | \(0.966735\pi\) | |||||||
\(710\) | −7.54360 | + | 13.4330i | −0.283106 | + | 0.504132i | ||||
\(711\) | −19.8039 | + | 11.4338i | −0.742705 | + | 0.428801i | ||||
\(712\) | −13.4709 | − | 7.77744i | −0.504844 | − | 0.291472i | ||||
\(713\) | 31.6040 | 1.18358 | ||||||||
\(714\) | −7.61817 | − | 7.21508i | −0.285103 | − | 0.270018i | ||||
\(715\) | 9.79216 | − | 0.841269i | 0.366206 | − | 0.0314617i | ||||
\(716\) | 2.79094 | − | 4.83404i | 0.104302 | − | 0.180657i | ||||
\(717\) | 38.5517 | − | 22.2578i | 1.43974 | − | 0.831233i | ||||
\(718\) | 20.8065 | − | 12.0126i | 0.776491 | − | 0.448308i | ||||
\(719\) | −39.3874 | − | 22.7403i | −1.46890 | − | 0.848072i | −0.469511 | − | 0.882927i | \(-0.655570\pi\) |
−0.999392 | + | 0.0348553i | \(0.988903\pi\) | |||||||
\(720\) | 4.06845 | + | 6.85678i | 0.151622 | + | 0.255537i | ||||
\(721\) | 3.01487 | + | 0.720655i | 0.112280 | + | 0.0268386i | ||||
\(722\) | 45.0943 | 1.67824 | ||||||||
\(723\) | 31.1618 | − | 53.9738i | 1.15892 | − | 2.00731i | ||||
\(724\) | −6.65154 | + | 3.84027i | −0.247203 | + | 0.142723i | ||||
\(725\) | −0.174154 | − | 7.30684i | −0.00646792 | − | 0.271369i | ||||
\(726\) | 26.7634 | − | 3.97851i | 0.993284 | − | 0.147656i | ||||
\(727\) | −10.6547 | −0.395162 | −0.197581 | − | 0.980287i | \(-0.563309\pi\) | ||||
−0.197581 | + | 0.980287i | \(0.563309\pi\) | |||||||
\(728\) | 10.3334 | − | 3.07200i | 0.382981 | − | 0.113856i | ||||
\(729\) | −3.64065 | −0.134839 | ||||||||
\(730\) | −0.250823 | − | 21.0502i | −0.00928338 | − | 0.779101i | ||||
\(731\) | 1.87174 | − | 1.08065i | 0.0692288 | − | 0.0399693i | ||||
\(732\) | −9.37051 | − | 16.2302i | −0.346344 | − | 0.599886i | ||||
\(733\) | 45.0830 | + | 26.0287i | 1.66518 | + | 0.961392i | 0.970181 | + | 0.242380i | \(0.0779281\pi\) |
0.694998 | + | 0.719012i | \(0.255405\pi\) | |||||||
\(734\) | −19.8636 | −0.733178 | ||||||||
\(735\) | −30.8959 | − | 15.2054i | −1.13961 | − | 0.560859i | ||||
\(736\) | 19.0118i | 0.700784i | ||||||||
\(737\) | −4.14776 | − | 6.09691i | −0.152785 | − | 0.224582i | ||||
\(738\) | 3.17461 | + | 5.49859i | 0.116859 | + | 0.202406i | ||||
\(739\) | 23.9404 | − | 13.8220i | 0.880662 | − | 0.508450i | 0.00978542 | − | 0.999952i | \(-0.496885\pi\) |
0.870877 | + | 0.491502i | \(0.163552\pi\) | |||||||
\(740\) | −0.160930 | − | 13.5059i | −0.00591591 | − | 0.496488i | ||||
\(741\) | 22.4570i | 0.824977i | ||||||||
\(742\) | 23.0899 | − | 6.86438i | 0.847658 | − | 0.251999i | ||||
\(743\) | −17.8843 | −0.656113 | −0.328056 | − | 0.944658i | \(-0.606394\pi\) | ||||
−0.328056 | + | 0.944658i | \(0.606394\pi\) | |||||||
\(744\) | 38.7788 | + | 22.3889i | 1.42170 | + | 0.820818i | ||||
\(745\) | 31.2474 | + | 17.5476i | 1.14481 | + | 0.642895i | ||||
\(746\) | −16.9281 | − | 29.3203i | −0.619782 | − | 1.07349i | ||||
\(747\) | 13.9028 | + | 8.02677i | 0.508676 | + | 0.293684i | ||||
\(748\) | 1.74340 | − | 3.61085i | 0.0637451 | − | 0.132026i | ||||
\(749\) | 17.6234 | + | 4.21259i | 0.643946 | + | 0.153925i | ||||
\(750\) | −27.4835 | + | 0.982813i | −1.00356 | + | 0.0358873i | ||||
\(751\) | 1.58624 | − | 2.74744i | 0.0578826 | − | 0.100256i | −0.835632 | − | 0.549289i | \(-0.814898\pi\) |
0.893515 | + | 0.449034i | \(0.148232\pi\) | |||||||
\(752\) | −4.72675 | − | 8.18698i | −0.172367 | − | 0.298548i | ||||
\(753\) | −12.7811 | + | 7.37920i | −0.465771 | + | 0.268913i | ||||
\(754\) | −1.08300 | + | 1.87581i | −0.0394404 | + | 0.0683128i | ||||
\(755\) | −22.6107 | + | 13.4160i | −0.822886 | + | 0.488258i | ||||
\(756\) | −3.48194 | + | 3.67647i | −0.126637 | + | 0.133712i | ||||
\(757\) | − | 19.6632i | − | 0.714672i | −0.933976 | − | 0.357336i | \(-0.883685\pi\) | ||
0.933976 | − | 0.357336i | \(-0.116315\pi\) | |||||||
\(758\) | 8.64141 | − | 14.9674i | 0.313870 | − | 0.543639i | ||||
\(759\) | −34.7386 | + | 2.56792i | −1.26093 | + | 0.0932097i | ||||
\(760\) | −25.9298 | + | 46.1736i | −0.940572 | + | 1.67489i | ||||
\(761\) | 5.50167 | − | 9.52918i | 0.199435 | − | 0.345432i | −0.748910 | − | 0.662672i | \(-0.769423\pi\) |
0.948346 | + | 0.317239i | \(0.102756\pi\) | |||||||
\(762\) | −51.8000 | −1.87652 | ||||||||
\(763\) | −38.9151 | − | 36.8561i | −1.40882 | − | 1.33428i | ||||
\(764\) | −8.12537 | −0.293966 | ||||||||
\(765\) | 0.0790284 | + | 6.63240i | 0.00285728 | + | 0.239795i | ||||
\(766\) | −18.1879 | − | 31.5024i | −0.657156 | − | 1.13823i | ||||
\(767\) | 3.40616 | + | 5.89965i | 0.122989 | + | 0.213024i | ||||
\(768\) | −16.6654 | + | 28.8653i | −0.601360 | + | 1.04159i | ||||
\(769\) | 8.06401 | 0.290795 | 0.145398 | − | 0.989373i | \(-0.453554\pi\) | ||||
0.145398 | + | 0.989373i | \(0.453554\pi\) | |||||||
\(770\) | −3.25524 | + | 21.6958i | −0.117311 | + | 0.781863i | ||||
\(771\) | −19.0788 | −0.687105 | ||||||||
\(772\) | −8.12798 | + | 14.0781i | −0.292532 | + | 0.506681i | ||||
\(773\) | −18.2913 | − | 31.6815i | −0.657893 | − | 1.13950i | −0.981160 | − | 0.193196i | \(-0.938115\pi\) |
0.323268 | − | 0.946308i | \(-0.395219\pi\) | |||||||
\(774\) | −1.37882 | − | 2.38818i | −0.0495605 | − | 0.0858414i | ||||
\(775\) | −28.2630 | + | 17.2283i | −1.01524 | + | 0.618860i | ||||
\(776\) | −16.9798 | −0.609539 | ||||||||
\(777\) | 44.9434 | − | 13.3612i | 1.61234 | − | 0.479330i | ||||
\(778\) | 33.3610 | 1.19605 | ||||||||
\(779\) | −11.8870 | + | 20.5889i | −0.425897 | + | 0.737675i | ||||
\(780\) | −4.26236 | − | 2.39362i | −0.152617 | − | 0.0857053i | ||||
\(781\) | −1.50666 | − | 20.3819i | −0.0539124 | − | 0.729321i | ||||
\(782\) | 4.30300 | − | 7.45302i | 0.153875 | − | 0.266519i | ||||
\(783\) | − | 3.73094i | − | 0.133333i | ||||||
\(784\) | 0.736770 | + | 13.5460i | 0.0263132 | + | 0.483785i | ||||
\(785\) | −22.4594 | − | 37.8521i | −0.801611 | − | 1.35100i | ||||
\(786\) | −1.31340 | + | 2.27488i | −0.0468475 | + | 0.0811423i | ||||
\(787\) | 37.0080 | − | 21.3666i | 1.31919 | − | 0.761637i | 0.335595 | − | 0.942006i | \(-0.391062\pi\) |
0.983599 | + | 0.180369i | \(0.0577292\pi\) | |||||||
\(788\) | −2.23106 | − | 3.86431i | −0.0794781 | − | 0.137660i | ||||
\(789\) | 5.73908 | − | 9.94037i | 0.204316 | − | 0.353887i | ||||
\(790\) | −26.7244 | + | 15.8569i | −0.950813 | + | 0.564162i | ||||
\(791\) | −23.6798 | + | 7.03976i | −0.841958 | + | 0.250305i | ||||
\(792\) | −16.8952 | − | 8.15738i | −0.600344 | − | 0.289860i | ||||
\(793\) | −13.0384 | − | 7.52773i | −0.463007 | − | 0.267317i | ||||
\(794\) | 1.88456 | + | 3.26416i | 0.0668806 | + | 0.115841i | ||||
\(795\) | −34.9270 | − | 19.6140i | −1.23873 | − | 0.695638i | ||||
\(796\) | 3.83211 | + | 2.21247i | 0.135826 | + | 0.0784189i | ||||
\(797\) | −16.3690 | −0.579820 | −0.289910 | − | 0.957054i | \(-0.593625\pi\) | ||||
−0.289910 | + | 0.957054i | \(0.593625\pi\) | |||||||
\(798\) | −48.7551 | − | 11.6541i | −1.72591 | − | 0.412551i | ||||
\(799\) | − | 7.86459i | − | 0.278229i | ||||||
\(800\) | −10.3639 | − | 17.0019i | −0.366420 | − | 0.601109i | ||||
\(801\) | −8.06095 | + | 4.65399i | −0.284820 | + | 0.164441i | ||||
\(802\) | −12.4243 | − | 21.5195i | −0.438717 | − | 0.759881i | ||||
\(803\) | 15.7082 | + | 23.0899i | 0.554331 | + | 0.814826i | ||||
\(804\) | 3.66777i | 0.129352i | ||||||||
\(805\) | 6.23841 | − | 27.5459i | 0.219875 | − | 0.970866i | ||||
\(806\) | 9.80917 | 0.345513 | ||||||||
\(807\) | 53.6123 | + | 30.9531i | 1.88724 | + | 1.08960i | ||||
\(808\) | 9.26734 | + | 16.0515i | 0.326024 | + | 0.564690i | ||||
\(809\) | −46.1660 | + | 26.6539i | −1.62311 | + | 0.937103i | −0.637028 | + | 0.770841i | \(0.719836\pi\) |
−0.986082 | + | 0.166262i | \(0.946830\pi\) | |||||||
\(810\) | −27.8359 | + | 0.331679i | −0.978054 | + | 0.0116540i | ||||
\(811\) | 38.1898 | 1.34102 | 0.670512 | − | 0.741899i | \(-0.266074\pi\) | ||||
0.670512 | + | 0.741899i | \(0.266074\pi\) | |||||||
\(812\) | 2.10562 | + | 1.99420i | 0.0738927 | + | 0.0699829i | ||||
\(813\) | 50.6937 | 1.77791 | ||||||||
\(814\) | −16.8027 | − | 24.6987i | −0.588933 | − | 0.865688i | ||||
\(815\) | 14.0545 | + | 7.89260i | 0.492308 | + | 0.276466i | ||||
\(816\) | 5.95302 | − | 3.43698i | 0.208398 | − | 0.120318i | ||||
\(817\) | 5.16285 | − | 8.94232i | 0.180625 | − | 0.312852i | ||||
\(818\) | −20.6385 | −0.721609 | ||||||||
\(819\) | 1.49974 | − | 6.27417i | 0.0524051 | − | 0.219237i | ||||
\(820\) | −2.64080 | − | 4.45068i | −0.0922208 | − | 0.155425i | ||||
\(821\) | 4.49214 | + | 2.59354i | 0.156777 | + | 0.0905152i | 0.576336 | − | 0.817213i | \(-0.304482\pi\) |
−0.419559 | + | 0.907728i | \(0.637815\pi\) | |||||||
\(822\) | 10.6084 | − | 6.12479i | 0.370012 | − | 0.213626i | ||||
\(823\) | 44.1195 | − | 25.4724i | 1.53791 | − | 0.887912i | 0.538948 | − | 0.842339i | \(-0.318822\pi\) |
0.998961 | − | 0.0455735i | \(-0.0145115\pi\) | |||||||
\(824\) | −1.80113 | + | 3.11965i | −0.0627453 | + | 0.108678i | ||||
\(825\) | 29.6663 | − | 21.2336i | 1.03285 | − | 0.739257i | ||||
\(826\) | −14.5761 | + | 4.33330i | −0.507166 | + | 0.150775i | ||||
\(827\) | 8.08660 | 0.281199 | 0.140599 | − | 0.990067i | \(-0.455097\pi\) | ||||
0.140599 | + | 0.990067i | \(0.455097\pi\) | |||||||
\(828\) | 5.70390 | + | 3.29315i | 0.198224 | + | 0.114445i | ||||
\(829\) | 19.7001 | − | 11.3738i | 0.684212 | − | 0.395030i | −0.117228 | − | 0.993105i | \(-0.537401\pi\) |
0.801440 | + | 0.598075i | \(0.204068\pi\) | |||||||
\(830\) | 19.0210 | + | 10.6817i | 0.660230 | + | 0.370766i | ||||
\(831\) | −0.0286812 | + | 0.0496774i | −0.000994941 | + | 0.00172329i | ||||
\(832\) | 11.0375i | 0.382655i | ||||||||
\(833\) | −5.10379 | + | 10.0659i | −0.176836 | + | 0.348763i | ||||
\(834\) | 18.0215 | 0.624034 | ||||||||
\(835\) | 0.266171 | + | 22.3382i | 0.00921123 | + | 0.773046i | ||||
\(836\) | −1.41222 | − | 19.1044i | −0.0488426 | − | 0.660739i | ||||
\(837\) | −14.6327 | + | 8.44817i | −0.505779 | + | 0.292012i | ||||
\(838\) | −12.5316 | − | 7.23512i | −0.432897 | − | 0.249933i | ||||
\(839\) | − | 14.5270i | − | 0.501528i | −0.968048 | − | 0.250764i | \(-0.919318\pi\) | ||
0.968048 | − | 0.250764i | \(-0.0806818\pi\) | |||||||
\(840\) | 27.1687 | − | 29.3800i | 0.937410 | − | 1.01370i | ||||
\(841\) | 26.8632 | 0.926317 | ||||||||
\(842\) | 1.45801 | − | 2.52536i | 0.0502465 | − | 0.0870295i | ||||
\(843\) | 25.7318 | − | 14.8563i | 0.886251 | − | 0.511677i | ||||
\(844\) | −8.65860 | + | 4.99905i | −0.298041 | + | 0.172074i | ||||
\(845\) | 25.1400 | − | 0.299556i | 0.864842 | − | 0.0103050i | ||||
\(846\) | −10.0345 | −0.344995 | ||||||||
\(847\) | −12.3051 | − | 26.3739i | −0.422808 | − | 0.906219i | ||||
\(848\) | 15.7811i | 0.541927i | ||||||||
\(849\) | 37.5713 | + | 21.6918i | 1.28944 | + | 0.744461i | ||||
\(850\) | 0.214767 | + | 9.01081i | 0.00736646 | + | 0.309068i | ||||
\(851\) | 19.2286 | + | 33.3048i | 0.659146 | + | 1.14168i | ||||
\(852\) | −5.08271 | + | 8.80350i | −0.174131 | + | 0.301603i | ||||
\(853\) | − | 31.0922i | − | 1.06458i | −0.846564 | − | 0.532288i | \(-0.821332\pi\) | ||
0.846564 | − | 0.532288i | \(-0.178668\pi\) | |||||||
\(854\) | 23.1094 | − | 24.4005i | 0.790786 | − | 0.834966i | ||||
\(855\) | 16.1703 | + | 27.2526i | 0.553011 | + | 0.932018i | ||||
\(856\) | −10.5285 | + | 18.2359i | −0.359857 | + | 0.623290i | ||||
\(857\) | −8.66229 | + | 5.00118i | −0.295898 | + | 0.170837i | −0.640599 | − | 0.767876i | \(-0.721314\pi\) |
0.344701 | + | 0.938713i | \(0.387980\pi\) | |||||||
\(858\) | −10.7821 | + | 0.797025i | −0.368094 | + | 0.0272100i | ||||
\(859\) | −27.6381 | − | 15.9568i | −0.942999 | − | 0.544441i | −0.0520997 | − | 0.998642i | \(-0.516591\pi\) |
−0.890899 | + | 0.454201i | \(0.849925\pi\) | |||||||
\(860\) | 1.14697 | + | 1.93305i | 0.0391113 | + | 0.0659164i | ||||
\(861\) | 12.3534 | − | 13.0435i | 0.421001 | − | 0.444522i | ||||
\(862\) | 1.04698i | 0.0356602i | ||||||||
\(863\) | 27.4483 | + | 15.8473i | 0.934351 | + | 0.539448i | 0.888185 | − | 0.459486i | \(-0.151966\pi\) |
0.0461657 | + | 0.998934i | \(0.485300\pi\) | |||||||
\(864\) | −5.08210 | − | 8.80246i | −0.172897 | − | 0.299466i | ||||
\(865\) | −37.5922 | − | 21.1107i | −1.27817 | − | 0.717785i | ||||
\(866\) | −11.3412 | + | 19.6435i | −0.385390 | + | 0.667515i | ||||
\(867\) | −31.6808 | −1.07593 | ||||||||
\(868\) | 3.05336 | − | 12.7738i | 0.103638 | − | 0.433570i | ||||
\(869\) | 17.9235 | − | 37.1224i | 0.608014 | − | 1.25929i | ||||
\(870\) | 0.0957955 | + | 8.03956i | 0.00324777 | + | 0.272567i | ||||
\(871\) | 1.47324 | + | 2.55172i | 0.0499187 | + | 0.0864617i | ||||
\(872\) | 53.9413 | − | 31.1430i | 1.82668 | − | 1.05464i | ||||
\(873\) | −5.08033 | + | 8.79938i | −0.171943 | + | 0.297814i | ||||
\(874\) | − | 41.1155i | − | 1.39075i | ||||||
\(875\) | 9.43722 | + | 28.0346i | 0.319036 | + | 0.947742i | ||||
\(876\) | − | 13.8904i | − | 0.469313i | ||||||
\(877\) | 25.1248 | − | 43.5174i | 0.848404 | − | 1.46948i | −0.0342281 | − | 0.999414i | \(-0.510897\pi\) |
0.882632 | − | 0.470065i | \(-0.155769\pi\) | |||||||
\(878\) | −20.1512 | − | 34.9030i | −0.680071 | − | 1.17792i | ||||
\(879\) | 28.4187 | − | 16.4076i | 0.958540 | − | 0.553413i | ||||
\(880\) | −13.0165 | − | 6.09450i | −0.438786 | − | 0.205445i | ||||
\(881\) | − | 14.2983i | − | 0.481721i | −0.970560 | − | 0.240860i | \(-0.922570\pi\) | ||
0.970560 | − | 0.240860i | \(-0.0774296\pi\) | |||||||
\(882\) | 12.8432 | + | 6.51200i | 0.432454 | + | 0.219271i | ||||
\(883\) | − | 8.82580i | − | 0.297012i | −0.988912 | − | 0.148506i | \(-0.952554\pi\) | ||
0.988912 | − | 0.148506i | \(-0.0474464\pi\) | |||||||
\(884\) | −0.801087 | + | 1.38752i | −0.0269435 | + | 0.0466675i | ||||
\(885\) | 22.0485 | + | 12.3818i | 0.741152 | + | 0.416210i | ||||
\(886\) | 16.3710 | − | 9.45178i | 0.549993 | − | 0.317539i | ||||
\(887\) | 45.6063 | + | 26.3308i | 1.53131 | + | 0.884102i | 0.999302 | + | 0.0373630i | \(0.0118958\pi\) |
0.532008 | + | 0.846739i | \(0.321438\pi\) | |||||||
\(888\) | 54.4876i | 1.82848i | ||||||||
\(889\) | 15.8771 | + | 53.4064i | 0.532502 | + | 1.79119i | ||||
\(890\) | −10.8779 | + | 6.45435i | −0.364627 | + | 0.216350i | ||||
\(891\) | 30.5332 | − | 20.7719i | 1.02290 | − | 0.695886i | ||||
\(892\) | −6.35478 | − | 11.0068i | −0.212774 | − | 0.368535i | ||||
\(893\) | −18.7867 | − | 32.5395i | −0.628673 | − | 1.08889i | ||||
\(894\) | −34.1411 | − | 19.7113i | −1.14185 | − | 0.659246i | ||||
\(895\) | −8.49371 | − | 14.3149i | −0.283913 | − | 0.478494i | ||||
\(896\) | −3.46764 | − | 0.828882i | −0.115846 | − | 0.0276910i | ||||
\(897\) | 13.9185 | 0.464727 | ||||||||
\(898\) | −4.00489 | + | 6.93666i | −0.133645 | + | 0.231479i | ||||
\(899\) | 4.83850 | + | 8.38053i | 0.161373 | + | 0.279506i | ||||
\(900\) | −6.89611 | + | 0.164364i | −0.229870 | + | 0.00547882i | ||||
\(901\) | −6.56435 | + | 11.3698i | −0.218690 | + | 0.378783i | ||||
\(902\) | −10.3071 | − | 4.97649i | −0.343188 | − | 0.165699i | ||||
\(903\) | −5.36539 | + | 5.66515i | −0.178549 | + | 0.188524i | ||||
\(904\) | − | 28.7085i | − | 0.954830i | ||||||
\(905\) | 0.272885 | + | 22.9017i | 0.00907102 | + | 0.761278i | ||||
\(906\) | 25.0468 | − | 14.4608i | 0.832124 | − | 0.480427i | ||||
\(907\) | −34.9450 | + | 20.1755i | −1.16033 | + | 0.669916i | −0.951383 | − | 0.308011i | \(-0.900337\pi\) |
−0.208946 | + | 0.977927i | \(0.567003\pi\) | |||||||
\(908\) | −13.1482 | − | 7.59111i | −0.436338 | − | 0.251920i | ||||
\(909\) | 11.0911 | 0.367868 | ||||||||
\(910\) | 1.93626 | − | 8.54962i | 0.0641864 | − | 0.283417i | ||||
\(911\) | 58.5385 | 1.93947 | 0.969734 | − | 0.244163i | \(-0.0785131\pi\) | ||||
0.969734 | + | 0.244163i | \(0.0785131\pi\) | |||||||
\(912\) | 16.4203 | − | 28.4408i | 0.543731 | − | 0.941769i | ||||
\(913\) | −28.8606 | + | 2.13341i | −0.955146 | + | 0.0706056i | ||||
\(914\) | 4.92141 | + | 8.52413i | 0.162786 | + | 0.281953i | ||||
\(915\) | −55.8817 | + | 0.665858i | −1.84739 | + | 0.0220126i | ||||
\(916\) | − | 12.7396i | − | 0.420929i | ||||||
\(917\) | 2.74799 | + | 0.656863i | 0.0907468 | + | 0.0216915i | ||||
\(918\) | 4.60100i | 0.151856i | ||||||||
\(919\) | −14.5801 | − | 8.41784i | −0.480954 | − | 0.277679i | 0.239860 | − | 0.970807i | \(-0.422898\pi\) |
−0.720814 | + | 0.693129i | \(0.756232\pi\) | |||||||
\(920\) | 28.6178 | + | 16.0710i | 0.943502 | + | 0.529844i | ||||
\(921\) | 9.30295 | − | 5.37106i | 0.306543 | − | 0.176982i | ||||
\(922\) | −4.54166 | + | 7.86638i | −0.149572 | + | 0.259065i | ||||
\(923\) | 8.16631i | 0.268797i | ||||||||
\(924\) | −2.31830 | + | 14.2888i | −0.0762664 | + | 0.470068i | ||||
\(925\) | −35.3513 | − | 19.3019i | −1.16234 | − | 0.634642i | ||||
\(926\) | 20.1398 | + | 11.6277i | 0.661836 | + | 0.382111i | ||||
\(927\) | 1.07779 | + | 1.86679i | 0.0353993 | + | 0.0613133i | ||||
\(928\) | −5.04141 | + | 2.91066i | −0.165493 | + | 0.0955472i | ||||
\(929\) | 11.3265 | + | 6.53935i | 0.371610 | + | 0.214549i | 0.674162 | − | 0.738584i | \(-0.264505\pi\) |
−0.302552 | + | 0.953133i | \(0.597838\pi\) | |||||||
\(930\) | 31.3141 | − | 18.5802i | 1.02683 | − | 0.609267i | ||||
\(931\) | 2.92832 | + | 53.8392i | 0.0959720 | + | 1.76451i | ||||
\(932\) | 4.08516 | 0.133814 | ||||||||
\(933\) | −34.9062 | − | 20.1531i | −1.14278 | − | 0.659782i | ||||
\(934\) | −1.81421 | − | 3.14231i | −0.0593628 | − | 0.102819i | ||||
\(935\) | −6.84287 | − | 9.80524i | −0.223786 | − | 0.320666i | ||||
\(936\) | 6.49223 | + | 3.74829i | 0.212205 | + | 0.122517i | ||||
\(937\) | − | 24.9947i | − | 0.816542i | −0.912861 | − | 0.408271i | \(-0.866132\pi\) | ||
0.912861 | − | 0.408271i | \(-0.133868\pi\) | |||||||
\(938\) | −6.30444 | + | 1.87424i | −0.205847 | + | 0.0611961i | ||||
\(939\) | 27.2129 | 0.888059 | ||||||||
\(940\) | 8.17845 | − | 0.0974504i | 0.266752 | − | 0.00317848i | ||||
\(941\) | 0.637096 | + | 1.10348i | 0.0207687 | + | 0.0359725i | 0.876223 | − | 0.481906i | \(-0.160055\pi\) |
−0.855454 | + | 0.517878i | \(0.826722\pi\) | |||||||
\(942\) | 24.2085 | + | 41.9304i | 0.788756 | + | 1.36616i | ||||
\(943\) | 12.7608 | + | 7.36743i | 0.415547 | + | 0.239916i | ||||
\(944\) | − | 9.96221i | − | 0.324242i | ||||||
\(945\) | 4.47500 | + | 14.4214i | 0.145572 | + | 0.469127i | ||||
\(946\) | 4.47663 | + | 2.16142i | 0.145548 | + | 0.0702739i | ||||
\(947\) | −30.9892 | − | 17.8916i | −1.00701 | − | 0.581399i | −0.0966967 | − | 0.995314i | \(-0.530828\pi\) |
−0.910315 | + | 0.413915i | \(0.864161\pi\) | |||||||
\(948\) | −17.7568 | + | 10.2519i | −0.576716 | + | 0.332967i | ||||
\(949\) | −5.57937 | − | 9.66376i | −0.181114 | − | 0.313699i | ||||
\(950\) | 22.4134 | + | 36.7690i | 0.727185 | + | 1.19294i | ||||
\(951\) | 45.2763i | 1.46818i | ||||||||
\(952\) | −9.52238 | − | 9.01853i | −0.308622 | − | 0.292292i | ||||
\(953\) | −25.5368 | −0.827217 | −0.413608 | − | 0.910455i | \(-0.635732\pi\) | ||||
−0.413608 | + | 0.910455i | \(0.635732\pi\) | |||||||
\(954\) | 14.5069 | + | 8.37555i | 0.469677 | + | 0.271168i | ||||
\(955\) | −11.8640 | + | 21.1265i | −0.383911 | + | 0.683637i | ||||
\(956\) | 13.1403 | − | 7.58657i | 0.424988 | − | 0.245367i | ||||
\(957\) | −5.99935 | − | 8.81861i | −0.193931 | − | 0.285065i | ||||
\(958\) | 29.2654 | 0.945522 | ||||||||
\(959\) | −9.56630 | − | 9.06013i | −0.308912 | − | 0.292567i | ||||
\(960\) | 20.9067 | + | 35.2352i | 0.674762 | + | 1.13721i | ||||
\(961\) | 6.41220 | − | 11.1063i | 0.206845 | − | 0.358266i | ||||
\(962\) | 5.96810 | + | 10.3371i | 0.192419 | + | 0.333280i | ||||
\(963\) | 6.30022 | + | 10.9123i | 0.203022 | + | 0.351644i | ||||
\(964\) | 10.6215 | − | 18.3969i | 0.342095 | − | 0.592525i | ||||
\(965\) | 24.7360 | + | 41.6890i | 0.796281 | + | 1.34201i | ||||
\(966\) | −7.22307 | + | 30.2178i | −0.232399 | + | 0.972242i | ||||
\(967\) | −19.8966 | −0.639833 | −0.319916 | − | 0.947446i | \(-0.603655\pi\) | ||||
−0.319916 | + | 0.947446i | \(0.603655\pi\) | |||||||
\(968\) | 33.4531 | − | 4.97296i | 1.07522 | − | 0.159837i | ||||
\(969\) | 23.6606 | − | 13.6604i | 0.760087 | − | 0.438836i | ||||
\(970\) | −6.76067 | + | 12.0388i | −0.217072 | + | 0.386544i | ||||
\(971\) | 13.0497 | + | 7.53424i | 0.418784 | + | 0.241785i | 0.694557 | − | 0.719438i | \(-0.255600\pi\) |
−0.275773 | + | 0.961223i | \(0.588934\pi\) | |||||||
\(972\) | −12.6265 | −0.404995 | ||||||||
\(973\) | −5.52374 | − | 18.5804i | −0.177083 | − | 0.595660i | ||||
\(974\) | − | 18.0040i | − | 0.576884i | ||||||
\(975\) | −12.4471 | + | 7.58743i | −0.398627 | + | 0.242992i | ||||
\(976\) | 11.0084 | + | 19.0671i | 0.352370 | + | 0.610323i | ||||
\(977\) | −29.3942 | + | 16.9707i | −0.940402 | + | 0.542942i | −0.890086 | − | 0.455792i | \(-0.849356\pi\) |
−0.0503159 | + | 0.998733i | \(0.516023\pi\) | |||||||
\(978\) | −15.3560 | − | 8.86581i | −0.491032 | − | 0.283497i | ||||
\(979\) | 7.29556 | − | 15.1102i | 0.233167 | − | 0.482925i | ||||
\(980\) | −10.5309 | − | 5.18275i | −0.336396 | − | 0.165557i | ||||
\(981\) | − | 37.2717i | − | 1.18999i | ||||||
\(982\) | −2.63590 | − | 1.52184i | −0.0841149 | − | 0.0485638i | ||||
\(983\) | −1.32050 | − | 2.28717i | −0.0421174 | − | 0.0729495i | 0.844198 | − | 0.536031i | \(-0.180077\pi\) |
−0.886316 | + | 0.463082i | \(0.846744\pi\) | |||||||
\(984\) | 10.4385 | + | 18.0800i | 0.332766 | + | 0.576368i | ||||
\(985\) | −13.3051 | + | 0.158536i | −0.423934 | + | 0.00505139i | ||||
\(986\) | 2.63512 | 0.0839193 | ||||||||
\(987\) | 8.09080 | + | 27.2153i | 0.257533 | + | 0.866272i | ||||
\(988\) | 7.65445i | 0.243521i | ||||||||
\(989\) | −5.54233 | − | 3.19987i | −0.176236 | − | 0.101750i | ||||
\(990\) | −12.5106 | + | 8.73091i | −0.397614 | + | 0.277487i | ||||
\(991\) | 6.87543 | + | 11.9086i | 0.218405 | + | 0.378289i | 0.954321 | − | 0.298785i | \(-0.0965812\pi\) |
−0.735915 | + | 0.677074i | \(0.763248\pi\) | |||||||
\(992\) | 22.8311 | + | 13.1816i | 0.724889 | + | 0.418515i | ||||
\(993\) | 72.8893 | 2.31307 | ||||||||
\(994\) | −17.7294 | − | 4.23793i | −0.562343 | − | 0.134419i | ||||
\(995\) | 11.3479 | − | 6.73326i | 0.359753 | − | 0.213459i | ||||
\(996\) | 12.4657 | + | 7.19707i | 0.394990 | + | 0.228048i | ||||
\(997\) | 35.2006 | − | 20.3231i | 1.11481 | − | 0.643638i | 0.174742 | − | 0.984614i | \(-0.444091\pi\) |
0.940072 | + | 0.340976i | \(0.110758\pi\) | |||||||
\(998\) | 0.594801 | + | 1.03023i | 0.0188281 | + | 0.0326112i | ||||
\(999\) | −17.8057 | − | 10.2801i | −0.563346 | − | 0.325248i |
(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 | 385.2.o.b.54.12 | yes | 72 | |
5.4 | even | 2 | inner | 385.2.o.b.54.25 | yes | 72 | |
7.3 | odd | 6 | inner | 385.2.o.b.164.11 | yes | 72 | |
11.10 | odd | 2 | inner | 385.2.o.b.54.26 | yes | 72 | |
35.24 | odd | 6 | inner | 385.2.o.b.164.26 | yes | 72 | |
55.54 | odd | 2 | inner | 385.2.o.b.54.11 | ✓ | 72 | |
77.10 | even | 6 | inner | 385.2.o.b.164.25 | yes | 72 | |
385.164 | even | 6 | inner | 385.2.o.b.164.12 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
385.2.o.b.54.11 | ✓ | 72 | 55.54 | odd | 2 | inner | |
385.2.o.b.54.12 | yes | 72 | 1.1 | even | 1 | trivial | |
385.2.o.b.54.25 | yes | 72 | 5.4 | even | 2 | inner | |
385.2.o.b.54.26 | yes | 72 | 11.10 | odd | 2 | inner | |
385.2.o.b.164.11 | yes | 72 | 7.3 | odd | 6 | inner | |
385.2.o.b.164.12 | yes | 72 | 385.164 | even | 6 | inner | |
385.2.o.b.164.25 | yes | 72 | 77.10 | even | 6 | inner | |
385.2.o.b.164.26 | yes | 72 | 35.24 | odd | 6 | inner |