Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(19,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.ba (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: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 59.14 | ||
Character | \(\chi\) | \(=\) | 280.59 |
Dual form | 280.2.ba.b.19.14 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.634137 | + | 1.26407i | −0.448403 | + | 0.893832i | ||||
\(3\) | 0.653375 | − | 1.13168i | 0.377226 | − | 0.653375i | −0.613431 | − | 0.789748i | \(-0.710211\pi\) |
0.990658 | + | 0.136373i | \(0.0435446\pi\) | |||||||
\(4\) | −1.19574 | − | 1.60319i | −0.597870 | − | 0.801593i | ||||
\(5\) | −1.67181 | + | 1.48495i | −0.747654 | + | 0.664088i | ||||
\(6\) | 1.01619 | + | 1.54355i | 0.414858 | + | 0.630152i | ||||
\(7\) | −1.03631 | + | 2.43435i | −0.391687 | + | 0.920099i | ||||
\(8\) | 2.78480 | − | 0.494858i | 0.984576 | − | 0.174959i | ||||
\(9\) | 0.646203 | + | 1.11926i | 0.215401 | + | 0.373085i | ||||
\(10\) | −0.816920 | − | 3.05494i | −0.258333 | − | 0.966056i | ||||
\(11\) | 0.168671 | − | 0.292146i | 0.0508561 | − | 0.0880853i | −0.839477 | − | 0.543396i | \(-0.817138\pi\) |
0.890333 | + | 0.455310i | \(0.150472\pi\) | |||||||
\(12\) | −2.59556 | + | 0.305712i | −0.749273 | + | 0.0882514i | ||||
\(13\) | 1.29865i | 0.360182i | 0.983650 | + | 0.180091i | \(0.0576391\pi\) | ||||
−0.983650 | + | 0.180091i | \(0.942361\pi\) | |||||||
\(14\) | −2.42003 | − | 2.85368i | −0.646780 | − | 0.762677i | ||||
\(15\) | 0.588166 | + | 2.86217i | 0.151864 | + | 0.739010i | ||||
\(16\) | −1.14041 | + | 3.83399i | −0.285103 | + | 0.958497i | ||||
\(17\) | −3.41832 | + | 5.92071i | −0.829065 | + | 1.43598i | 0.0697076 | + | 0.997567i | \(0.477793\pi\) |
−0.898773 | + | 0.438415i | \(0.855540\pi\) | |||||||
\(18\) | −1.82460 | + | 0.107083i | −0.430062 | + | 0.0252397i | ||||
\(19\) | −0.551990 | + | 0.318691i | −0.126635 | + | 0.0731128i | −0.561979 | − | 0.827151i | \(-0.689960\pi\) |
0.435344 | + | 0.900264i | \(0.356627\pi\) | |||||||
\(20\) | 4.37969 | + | 0.904605i | 0.979329 | + | 0.202276i | ||||
\(21\) | 2.07781 | + | 2.76331i | 0.453415 | + | 0.603003i | ||||
\(22\) | 0.262332 | + | 0.398472i | 0.0559294 | + | 0.0849545i | ||||
\(23\) | 1.51602 | + | 2.62582i | 0.316111 | + | 0.547521i | 0.979673 | − | 0.200601i | \(-0.0642894\pi\) |
−0.663562 | + | 0.748121i | \(0.730956\pi\) | |||||||
\(24\) | 1.25950 | − | 3.47483i | 0.257094 | − | 0.709296i | ||||
\(25\) | 0.589869 | − | 4.96508i | 0.117974 | − | 0.993017i | ||||
\(26\) | −1.64159 | − | 0.823524i | −0.321942 | − | 0.161506i | ||||
\(27\) | 5.60910 | 1.07947 | ||||||||
\(28\) | 5.14187 | − | 1.24946i | 0.971722 | − | 0.236126i | ||||
\(29\) | 5.90687i | 1.09688i | 0.836191 | + | 0.548439i | \(0.184778\pi\) | ||||
−0.836191 | + | 0.548439i | \(0.815222\pi\) | |||||||
\(30\) | −3.99096 | − | 1.07153i | −0.728646 | − | 0.195633i | ||||
\(31\) | −1.08115 | + | 1.87261i | −0.194181 | + | 0.336331i | −0.946632 | − | 0.322318i | \(-0.895538\pi\) |
0.752451 | + | 0.658648i | \(0.228871\pi\) | |||||||
\(32\) | −4.12325 | − | 3.87283i | −0.728894 | − | 0.684626i | ||||
\(33\) | −0.220410 | − | 0.381762i | −0.0383685 | − | 0.0664562i | ||||
\(34\) | −5.31650 | − | 8.07554i | −0.911772 | − | 1.38494i | ||||
\(35\) | −1.88238 | − | 5.60862i | −0.318180 | − | 0.948030i | ||||
\(36\) | 1.02169 | − | 2.37432i | 0.170281 | − | 0.395720i | ||||
\(37\) | −4.30421 | − | 7.45510i | −0.707607 | − | 1.22561i | −0.965742 | − | 0.259503i | \(-0.916441\pi\) |
0.258135 | − | 0.966109i | \(-0.416892\pi\) | |||||||
\(38\) | −0.0528107 | − | 0.899847i | −0.00856703 | − | 0.145974i | ||||
\(39\) | 1.46966 | + | 0.848507i | 0.235334 | + | 0.135870i | ||||
\(40\) | −3.92081 | + | 4.96259i | −0.619934 | + | 0.784654i | ||||
\(41\) | 5.28231i | 0.824959i | 0.910967 | + | 0.412479i | \(0.135337\pi\) | ||||
−0.910967 | + | 0.412479i | \(0.864663\pi\) | |||||||
\(42\) | −4.81063 | + | 0.874175i | −0.742296 | + | 0.134888i | ||||
\(43\) | − | 10.6010i | − | 1.61664i | −0.588744 | − | 0.808320i | \(-0.700377\pi\) | ||
0.588744 | − | 0.808320i | \(-0.299623\pi\) | |||||||
\(44\) | −0.670050 | + | 0.0789204i | −0.101014 | + | 0.0118977i | ||||
\(45\) | −2.74236 | − | 0.911602i | −0.408807 | − | 0.135894i | ||||
\(46\) | −4.28057 | + | 0.251221i | −0.631136 | + | 0.0370405i | ||||
\(47\) | 7.78384 | − | 4.49400i | 1.13539 | − | 0.655517i | 0.190105 | − | 0.981764i | \(-0.439117\pi\) |
0.945285 | + | 0.326247i | \(0.105784\pi\) | |||||||
\(48\) | 3.59373 | + | 3.79561i | 0.518710 | + | 0.547849i | ||||
\(49\) | −4.85214 | − | 5.04547i | −0.693163 | − | 0.720781i | ||||
\(50\) | 5.90215 | + | 3.89418i | 0.834690 | + | 0.550720i | ||||
\(51\) | 4.46689 | + | 7.73688i | 0.625490 | + | 1.08338i | ||||
\(52\) | 2.08198 | − | 1.55285i | 0.288719 | − | 0.215342i | ||||
\(53\) | 3.63168 | − | 6.29026i | 0.498850 | − | 0.864034i | −0.501149 | − | 0.865361i | \(-0.667089\pi\) |
0.999999 | + | 0.00132737i | \(0.000422515\pi\) | |||||||
\(54\) | −3.55694 | + | 7.09029i | −0.484038 | + | 0.964866i | ||||
\(55\) | 0.151837 | + | 0.738878i | 0.0204737 | + | 0.0996303i | ||||
\(56\) | −1.68125 | + | 7.29201i | −0.224666 | + | 0.974436i | ||||
\(57\) | 0.832900i | 0.110320i | ||||||||
\(58\) | −7.46668 | − | 3.74576i | −0.980424 | − | 0.491843i | ||||
\(59\) | 7.50354 | + | 4.33217i | 0.976877 | + | 0.564000i | 0.901326 | − | 0.433142i | \(-0.142595\pi\) |
0.0755513 | + | 0.997142i | \(0.475928\pi\) | |||||||
\(60\) | 3.88530 | − | 4.36535i | 0.501590 | − | 0.563565i | ||||
\(61\) | −3.97207 | − | 6.87982i | −0.508571 | − | 0.880871i | −0.999951 | − | 0.00992531i | \(-0.996841\pi\) |
0.491380 | − | 0.870945i | \(-0.336493\pi\) | |||||||
\(62\) | −1.68151 | − | 2.55414i | −0.213552 | − | 0.324376i | ||||
\(63\) | −3.39433 | + | 0.413194i | −0.427645 | + | 0.0520575i | ||||
\(64\) | 7.51023 | − | 2.75616i | 0.938779 | − | 0.344520i | ||||
\(65\) | −1.92843 | − | 2.17110i | −0.239192 | − | 0.269291i | ||||
\(66\) | 0.622343 | − | 0.0365244i | 0.0766052 | − | 0.00449585i | ||||
\(67\) | 10.9447 | + | 6.31895i | 1.33711 | + | 0.771983i | 0.986378 | − | 0.164492i | \(-0.0525985\pi\) |
0.350735 | + | 0.936475i | \(0.385932\pi\) | |||||||
\(68\) | 13.5794 | − | 1.59942i | 1.64675 | − | 0.193958i | ||||
\(69\) | 3.96211 | 0.476981 | ||||||||
\(70\) | 8.28337 | + | 1.17718i | 0.990052 | + | 0.140700i | ||||
\(71\) | 3.53507i | 0.419536i | 0.977751 | + | 0.209768i | \(0.0672708\pi\) | ||||
−0.977751 | + | 0.209768i | \(0.932729\pi\) | |||||||
\(72\) | 2.35342 | + | 2.79713i | 0.277353 | + | 0.329645i | ||||
\(73\) | −5.93618 | + | 10.2818i | −0.694777 | + | 1.20339i | 0.275479 | + | 0.961307i | \(0.411164\pi\) |
−0.970256 | + | 0.242082i | \(0.922170\pi\) | |||||||
\(74\) | 12.1532 | − | 0.713255i | 1.41278 | − | 0.0829142i | ||||
\(75\) | −5.23347 | − | 3.91160i | −0.604309 | − | 0.451673i | ||||
\(76\) | 1.17096 | + | 0.503870i | 0.134318 | + | 0.0577979i | ||||
\(77\) | 0.536392 | + | 0.713356i | 0.0611275 | + | 0.0812945i | ||||
\(78\) | −2.00454 | + | 1.31968i | −0.226969 | + | 0.149424i | ||||
\(79\) | 8.96466 | − | 5.17575i | 1.00860 | − | 0.582317i | 0.0978208 | − | 0.995204i | \(-0.468813\pi\) |
0.910782 | + | 0.412887i | \(0.135479\pi\) | |||||||
\(80\) | −3.78672 | − | 8.10313i | −0.423368 | − | 0.905958i | ||||
\(81\) | 1.72624 | − | 2.98993i | 0.191804 | − | 0.332214i | ||||
\(82\) | −6.67721 | − | 3.34971i | −0.737374 | − | 0.369914i | ||||
\(83\) | −3.76821 | −0.413615 | −0.206807 | − | 0.978382i | \(-0.566307\pi\) | ||||
−0.206807 | + | 0.978382i | \(0.566307\pi\) | |||||||
\(84\) | 1.94558 | − | 6.63531i | 0.212280 | − | 0.723972i | ||||
\(85\) | −3.07716 | − | 14.9743i | −0.333765 | − | 1.62419i | ||||
\(86\) | 13.4004 | + | 6.72250i | 1.44500 | + | 0.724906i | ||||
\(87\) | 6.68467 | + | 3.85940i | 0.716672 | + | 0.413771i | ||||
\(88\) | 0.325143 | − | 0.897036i | 0.0346604 | − | 0.0956244i | ||||
\(89\) | −6.43915 | + | 3.71765i | −0.682549 | + | 0.394070i | −0.800815 | − | 0.598912i | \(-0.795600\pi\) |
0.118266 | + | 0.992982i | \(0.462266\pi\) | |||||||
\(90\) | 2.89136 | − | 2.88845i | 0.304776 | − | 0.304470i | ||||
\(91\) | −3.16138 | − | 1.34580i | −0.331403 | − | 0.141078i | ||||
\(92\) | 2.39691 | − | 5.57025i | 0.249895 | − | 0.580739i | ||||
\(93\) | 1.41279 | + | 2.44703i | 0.146500 | + | 0.253745i | ||||
\(94\) | 0.744706 | + | 12.6891i | 0.0768106 | + | 1.30878i | ||||
\(95\) | 0.449580 | − | 1.35247i | 0.0461259 | − | 0.138760i | ||||
\(96\) | −7.07683 | + | 2.13578i | −0.722276 | + | 0.217982i | ||||
\(97\) | 6.03558 | 0.612820 | 0.306410 | − | 0.951900i | \(-0.400872\pi\) | ||||
0.306410 | + | 0.951900i | \(0.400872\pi\) | |||||||
\(98\) | 9.45474 | − | 2.93392i | 0.955073 | − | 0.296371i | ||||
\(99\) | 0.435982 | 0.0438178 | ||||||||
\(100\) | −8.66528 | + | 4.99128i | −0.866528 | + | 0.499128i | ||||
\(101\) | −0.757059 | + | 1.31127i | −0.0753302 | + | 0.130476i | −0.901230 | − | 0.433341i | \(-0.857334\pi\) |
0.825900 | + | 0.563817i | \(0.190668\pi\) | |||||||
\(102\) | −12.6126 | + | 0.740214i | −1.24883 | + | 0.0732921i | ||||
\(103\) | −6.60049 | + | 3.81079i | −0.650366 | + | 0.375489i | −0.788596 | − | 0.614911i | \(-0.789192\pi\) |
0.138231 | + | 0.990400i | \(0.455858\pi\) | |||||||
\(104\) | 0.642649 | + | 3.61649i | 0.0630169 | + | 0.354626i | ||||
\(105\) | −7.57706 | − | 1.53428i | −0.739445 | − | 0.149731i | ||||
\(106\) | 5.64834 | + | 8.57958i | 0.548615 | + | 0.833323i | ||||
\(107\) | 1.68270 | − | 0.971509i | 0.162673 | − | 0.0939193i | −0.416453 | − | 0.909157i | \(-0.636727\pi\) |
0.579126 | + | 0.815238i | \(0.303394\pi\) | |||||||
\(108\) | −6.70703 | − | 8.99243i | −0.645384 | − | 0.865297i | ||||
\(109\) | −1.32933 | − | 0.767488i | −0.127326 | − | 0.0735120i | 0.434984 | − | 0.900438i | \(-0.356754\pi\) |
−0.562310 | + | 0.826926i | \(0.690087\pi\) | |||||||
\(110\) | −1.03028 | − | 0.276618i | −0.0982331 | − | 0.0263745i | ||||
\(111\) | −11.2490 | −1.06771 | ||||||||
\(112\) | −8.15146 | − | 6.74935i | −0.770241 | − | 0.637753i | ||||
\(113\) | − | 6.74556i | − | 0.634569i | −0.948330 | − | 0.317285i | \(-0.897229\pi\) | ||
0.948330 | − | 0.317285i | \(-0.102771\pi\) | |||||||
\(114\) | −1.05284 | − | 0.528173i | −0.0986078 | − | 0.0494679i | ||||
\(115\) | −6.43368 | − | 2.13865i | −0.599944 | − | 0.199430i | ||||
\(116\) | 9.46980 | − | 7.06308i | 0.879249 | − | 0.655790i | ||||
\(117\) | −1.45353 | + | 0.839193i | −0.134378 | + | 0.0775834i | ||||
\(118\) | −10.2344 | + | 6.73780i | −0.942156 | + | 0.620265i | ||||
\(119\) | −10.8707 | − | 14.4571i | −0.996512 | − | 1.32528i | ||||
\(120\) | 3.05429 | + | 7.67952i | 0.278818 | + | 0.701041i | ||||
\(121\) | 5.44310 | + | 9.42773i | 0.494827 | + | 0.857066i | ||||
\(122\) | 11.2154 | − | 0.658216i | 1.01539 | − | 0.0595920i | ||||
\(123\) | 5.97788 | + | 3.45133i | 0.539007 | + | 0.311196i | ||||
\(124\) | 4.29492 | − | 0.505867i | 0.385695 | − | 0.0454282i | ||||
\(125\) | 6.38674 | + | 9.17658i | 0.571247 | + | 0.820778i | ||||
\(126\) | 1.63016 | − | 4.55268i | 0.145227 | − | 0.405585i | ||||
\(127\) | −4.49296 | −0.398686 | −0.199343 | − | 0.979930i | \(-0.563881\pi\) | ||||
−0.199343 | + | 0.979930i | \(0.563881\pi\) | |||||||
\(128\) | −1.27854 | + | 11.2412i | −0.113008 | + | 0.993594i | ||||
\(129\) | −11.9969 | − | 6.92644i | −1.05627 | − | 0.609839i | ||||
\(130\) | 3.96730 | − | 1.06090i | 0.347956 | − | 0.0930467i | ||||
\(131\) | −4.26159 | + | 2.46043i | −0.372336 | + | 0.214969i | −0.674479 | − | 0.738294i | \(-0.735632\pi\) |
0.302142 | + | 0.953263i | \(0.402298\pi\) | |||||||
\(132\) | −0.348482 | + | 0.809846i | −0.0303314 | + | 0.0704881i | ||||
\(133\) | −0.203777 | − | 1.67400i | −0.0176697 | − | 0.145154i | ||||
\(134\) | −14.9281 | + | 9.82783i | −1.28959 | + | 0.848995i | ||||
\(135\) | −9.37732 | + | 8.32921i | −0.807072 | + | 0.716864i | ||||
\(136\) | −6.58944 | + | 18.1796i | −0.565039 | + | 1.55889i | ||||
\(137\) | 14.2291 | + | 8.21516i | 1.21567 | + | 0.701868i | 0.963989 | − | 0.265942i | \(-0.0856829\pi\) |
0.251682 | + | 0.967810i | \(0.419016\pi\) | |||||||
\(138\) | −2.51252 | + | 5.00837i | −0.213880 | + | 0.426341i | ||||
\(139\) | − | 9.85042i | − | 0.835502i | −0.908562 | − | 0.417751i | \(-0.862818\pi\) | ||
0.908562 | − | 0.417751i | \(-0.137182\pi\) | |||||||
\(140\) | −6.74083 | + | 9.72426i | −0.569704 | + | 0.821850i | ||||
\(141\) | − | 11.7451i | − | 0.989113i | ||||||
\(142\) | −4.46857 | − | 2.24172i | −0.374994 | − | 0.188121i | ||||
\(143\) | 0.379396 | + | 0.219044i | 0.0317267 | + | 0.0183174i | ||||
\(144\) | −5.02815 | + | 1.20112i | −0.419013 | + | 0.100094i | ||||
\(145\) | −8.77138 | − | 9.87513i | −0.728423 | − | 0.820085i | ||||
\(146\) | −9.23250 | − | 14.0238i | −0.764087 | − | 1.16062i | ||||
\(147\) | −8.88011 | + | 2.19448i | −0.732419 | + | 0.180998i | ||||
\(148\) | −6.80521 | + | 15.8148i | −0.559385 | + | 1.29997i | ||||
\(149\) | −12.5917 | + | 7.26981i | −1.03155 | + | 0.595566i | −0.917428 | − | 0.397901i | \(-0.869739\pi\) |
−0.114122 | + | 0.993467i | \(0.536405\pi\) | |||||||
\(150\) | 8.26327 | − | 4.13498i | 0.674693 | − | 0.337619i | ||||
\(151\) | 6.58039 | + | 3.79919i | 0.535504 | + | 0.309174i | 0.743255 | − | 0.669008i | \(-0.233281\pi\) |
−0.207751 | + | 0.978182i | \(0.566614\pi\) | |||||||
\(152\) | −1.37947 | + | 1.16065i | −0.111890 | + | 0.0941411i | ||||
\(153\) | −8.83572 | −0.714326 | ||||||||
\(154\) | −1.24188 | + | 0.225671i | −0.100073 | + | 0.0181851i | ||||
\(155\) | −0.973249 | − | 4.73609i | −0.0781732 | − | 0.380412i | ||||
\(156\) | −0.397014 | − | 3.37073i | −0.0317865 | − | 0.269874i | ||||
\(157\) | 15.6636 | + | 9.04339i | 1.25009 | + | 0.721741i | 0.971128 | − | 0.238561i | \(-0.0766756\pi\) |
0.278964 | + | 0.960302i | \(0.410009\pi\) | |||||||
\(158\) | 0.857680 | + | 14.6141i | 0.0682333 | + | 1.16263i | ||||
\(159\) | −4.74570 | − | 8.21979i | −0.376358 | − | 0.651872i | ||||
\(160\) | 12.6442 | + | 0.351820i | 0.999613 | + | 0.0278138i | ||||
\(161\) | −7.96322 | + | 0.969367i | −0.627589 | + | 0.0763968i | ||||
\(162\) | 2.68480 | + | 4.07810i | 0.210938 | + | 0.320406i | ||||
\(163\) | −6.40416 | + | 3.69745i | −0.501613 | + | 0.289606i | −0.729379 | − | 0.684109i | \(-0.760191\pi\) |
0.227766 | + | 0.973716i | \(0.426858\pi\) | |||||||
\(164\) | 8.46853 | − | 6.31627i | 0.661281 | − | 0.493218i | ||||
\(165\) | 0.935378 | + | 0.310934i | 0.0728191 | + | 0.0242062i | ||||
\(166\) | 2.38956 | − | 4.76327i | 0.185466 | − | 0.369702i | ||||
\(167\) | − | 18.7215i | − | 1.44872i | −0.689424 | − | 0.724358i | \(-0.742136\pi\) | ||
0.689424 | − | 0.724358i | \(-0.257864\pi\) | |||||||
\(168\) | 7.15373 | + | 6.66705i | 0.551922 | + | 0.514374i | ||||
\(169\) | 11.3135 | 0.870269 | ||||||||
\(170\) | 20.8799 | + | 5.60601i | 1.60141 | + | 0.429962i | ||||
\(171\) | −0.713395 | − | 0.411879i | −0.0545547 | − | 0.0314971i | ||||
\(172\) | −16.9954 | + | 12.6761i | −1.29589 | + | 0.966541i | ||||
\(173\) | −8.41281 | + | 4.85714i | −0.639614 | + | 0.369281i | −0.784466 | − | 0.620172i | \(-0.787063\pi\) |
0.144852 | + | 0.989453i | \(0.453729\pi\) | |||||||
\(174\) | −9.11754 | + | 6.00250i | −0.691199 | + | 0.455048i | ||||
\(175\) | 11.4755 | + | 6.58129i | 0.867465 | + | 0.497499i | ||||
\(176\) | 0.927730 | + | 0.979847i | 0.0699303 | + | 0.0738588i | ||||
\(177\) | 9.80524 | − | 5.66106i | 0.737007 | − | 0.425511i | ||||
\(178\) | −0.616055 | − | 10.4970i | −0.0461753 | − | 0.786785i | ||||
\(179\) | 1.19445 | − | 2.06885i | 0.0892775 | − | 0.154633i | −0.817928 | − | 0.575320i | \(-0.804878\pi\) |
0.907206 | + | 0.420687i | \(0.138211\pi\) | |||||||
\(180\) | 1.81768 | + | 5.48655i | 0.135482 | + | 0.408944i | ||||
\(181\) | 9.87158 | 0.733749 | 0.366874 | − | 0.930270i | \(-0.380428\pi\) | ||||
0.366874 | + | 0.930270i | \(0.380428\pi\) | |||||||
\(182\) | 3.70593 | − | 3.14278i | 0.274702 | − | 0.232958i | ||||
\(183\) | −10.3810 | −0.767385 | ||||||||
\(184\) | 5.52121 | + | 6.56216i | 0.407029 | + | 0.483769i | ||||
\(185\) | 18.2662 | + | 6.07197i | 1.34296 | + | 0.446420i | ||||
\(186\) | −3.98912 | + | 0.234116i | −0.292497 | + | 0.0171662i | ||||
\(187\) | 1.15314 | + | 1.99730i | 0.0843260 | + | 0.146057i | ||||
\(188\) | −16.5122 | − | 7.10528i | −1.20427 | − | 0.518206i | ||||
\(189\) | −5.81274 | + | 13.6545i | −0.422815 | + | 0.993220i | ||||
\(190\) | 1.42451 | + | 1.42595i | 0.103345 | + | 0.103449i | ||||
\(191\) | 11.1524 | − | 6.43881i | 0.806956 | − | 0.465896i | −0.0389418 | − | 0.999241i | \(-0.512399\pi\) |
0.845898 | + | 0.533345i | \(0.179065\pi\) | |||||||
\(192\) | 1.78791 | − | 10.3000i | 0.129031 | − | 0.743336i | ||||
\(193\) | 4.28850 | + | 2.47597i | 0.308693 | + | 0.178224i | 0.646341 | − | 0.763048i | \(-0.276298\pi\) |
−0.337649 | + | 0.941272i | \(0.609632\pi\) | |||||||
\(194\) | −3.82738 | + | 7.62938i | −0.274790 | + | 0.547758i | ||||
\(195\) | −3.71697 | + | 0.763823i | −0.266178 | + | 0.0546985i | ||||
\(196\) | −2.28692 | + | 13.8120i | −0.163352 | + | 0.986568i | ||||
\(197\) | 6.56633 | 0.467831 | 0.233916 | − | 0.972257i | \(-0.424846\pi\) | ||||
0.233916 | + | 0.972257i | \(0.424846\pi\) | |||||||
\(198\) | −0.276472 | + | 0.551111i | −0.0196480 | + | 0.0391657i | ||||
\(199\) | 13.8184 | − | 23.9342i | 0.979560 | − | 1.69665i | 0.315577 | − | 0.948900i | \(-0.397802\pi\) |
0.663983 | − | 0.747748i | \(-0.268865\pi\) | |||||||
\(200\) | −0.814346 | − | 14.1187i | −0.0575830 | − | 0.998341i | ||||
\(201\) | 14.3020 | − | 8.25729i | 1.00879 | − | 0.582424i | ||||
\(202\) | −1.17745 | − | 1.78850i | −0.0828451 | − | 0.125838i | ||||
\(203\) | −14.3794 | − | 6.12132i | −1.00924 | − | 0.429632i | ||||
\(204\) | 7.06242 | − | 16.4126i | 0.494468 | − | 1.14911i | ||||
\(205\) | −7.84395 | − | 8.83100i | −0.547845 | − | 0.616784i | ||||
\(206\) | −0.631491 | − | 10.7600i | −0.0439981 | − | 0.749688i | ||||
\(207\) | −1.95931 | + | 3.39362i | −0.136181 | + | 0.235873i | ||||
\(208\) | −4.97902 | − | 1.48100i | −0.345233 | − | 0.102689i | ||||
\(209\) | 0.215015i | 0.0148729i | ||||||||
\(210\) | 6.74433 | − | 8.60497i | 0.465403 | − | 0.593800i | ||||
\(211\) | −16.2713 | −1.12016 | −0.560080 | − | 0.828439i | \(-0.689230\pi\) | ||||
−0.560080 | + | 0.828439i | \(0.689230\pi\) | |||||||
\(212\) | −14.4270 | + | 1.69925i | −0.990851 | + | 0.116705i | ||||
\(213\) | 4.00056 | + | 2.30973i | 0.274114 | + | 0.158260i | ||||
\(214\) | 0.160990 | + | 2.74312i | 0.0110050 | + | 0.187516i | ||||
\(215\) | 15.7419 | + | 17.7228i | 1.07359 | + | 1.20869i | ||||
\(216\) | 15.6202 | − | 2.77571i | 1.06282 | − | 0.188863i | ||||
\(217\) | −3.43819 | − | 4.57250i | −0.233399 | − | 0.310401i | ||||
\(218\) | 1.81313 | − | 1.19367i | 0.122801 | − | 0.0808455i | ||||
\(219\) | 7.75709 | + | 13.4357i | 0.524176 | + | 0.907899i | ||||
\(220\) | 1.00300 | − | 1.12693i | 0.0676224 | − | 0.0759775i | ||||
\(221\) | −7.68895 | − | 4.43921i | −0.517214 | − | 0.298614i | ||||
\(222\) | 7.13343 | − | 14.2196i | 0.478765 | − | 0.954354i | ||||
\(223\) | − | 1.78444i | − | 0.119495i | −0.998214 | − | 0.0597475i | \(-0.980970\pi\) | ||
0.998214 | − | 0.0597475i | \(-0.0190296\pi\) | |||||||
\(224\) | 13.7008 | − | 6.02400i | 0.915422 | − | 0.402495i | ||||
\(225\) | 5.93838 | − | 2.54824i | 0.395892 | − | 0.169882i | ||||
\(226\) | 8.52686 | + | 4.27761i | 0.567198 | + | 0.284543i | ||||
\(227\) | −10.5973 | + | 18.3551i | −0.703368 | + | 1.21827i | 0.263909 | + | 0.964548i | \(0.414988\pi\) |
−0.967277 | + | 0.253722i | \(0.918345\pi\) | |||||||
\(228\) | 1.33529 | − | 0.995932i | 0.0884320 | − | 0.0659572i | ||||
\(229\) | 4.07746 | + | 7.06236i | 0.269446 | + | 0.466694i | 0.968719 | − | 0.248161i | \(-0.0798261\pi\) |
−0.699273 | + | 0.714855i | \(0.746493\pi\) | |||||||
\(230\) | 6.78324 | − | 6.77642i | 0.447274 | − | 0.446824i | ||||
\(231\) | 1.15775 | − | 0.140934i | 0.0761746 | − | 0.00927279i | ||||
\(232\) | 2.92306 | + | 16.4494i | 0.191908 | + | 1.07996i | ||||
\(233\) | 23.4709 | − | 13.5509i | 1.53763 | − | 0.887750i | 0.538652 | − | 0.842528i | \(-0.318934\pi\) |
0.998977 | − | 0.0452221i | \(-0.0143995\pi\) | |||||||
\(234\) | −0.139064 | − | 2.36952i | −0.00909088 | − | 0.154900i | ||||
\(235\) | −6.33971 | + | 19.0717i | −0.413557 | + | 1.24410i | ||||
\(236\) | −2.02701 | − | 17.2097i | −0.131947 | − | 1.12026i | ||||
\(237\) | − | 13.5268i | − | 0.878661i | ||||||
\(238\) | 25.1682 | − | 4.57350i | 1.63141 | − | 0.296456i | ||||
\(239\) | 18.6789i | 1.20824i | 0.796894 | + | 0.604119i | \(0.206475\pi\) | ||||
−0.796894 | + | 0.604119i | \(0.793525\pi\) | |||||||
\(240\) | −11.6443 | − | 1.00903i | −0.751635 | − | 0.0651327i | ||||
\(241\) | −17.4676 | − | 10.0849i | −1.12518 | − | 0.649625i | −0.182465 | − | 0.983212i | \(-0.558408\pi\) |
−0.942719 | + | 0.333587i | \(0.891741\pi\) | |||||||
\(242\) | −15.3690 | + | 0.901982i | −0.987955 | + | 0.0579816i | ||||
\(243\) | 6.15789 | + | 10.6658i | 0.395029 | + | 0.684210i | ||||
\(244\) | −6.28007 | + | 14.5944i | −0.402040 | + | 0.934313i | ||||
\(245\) | 15.6041 | + | 1.22987i | 0.996908 | + | 0.0785736i | ||||
\(246\) | −8.15351 | + | 5.36783i | −0.519849 | + | 0.342241i | ||||
\(247\) | −0.413870 | − | 0.716843i | −0.0263339 | − | 0.0456116i | ||||
\(248\) | −2.08412 | + | 5.74986i | −0.132341 | + | 0.365116i | ||||
\(249\) | −2.46205 | + | 4.26440i | −0.156026 | + | 0.270245i | ||||
\(250\) | −15.6499 | + | 2.25407i | −0.989786 | + | 0.142560i | ||||
\(251\) | − | 21.5319i | − | 1.35908i | −0.733637 | − | 0.679542i | \(-0.762179\pi\) | ||
0.733637 | − | 0.679542i | \(-0.237821\pi\) | |||||||
\(252\) | 4.72116 | + | 4.94767i | 0.297405 | + | 0.311674i | ||||
\(253\) | 1.02283 | 0.0643047 | ||||||||
\(254\) | 2.84916 | − | 5.67942i | 0.178772 | − | 0.356358i | ||||
\(255\) | −18.9566 | − | 6.30147i | −1.18711 | − | 0.394613i | ||||
\(256\) | −13.3989 | − | 8.74464i | −0.837433 | − | 0.546540i | ||||
\(257\) | 4.89663 | + | 8.48121i | 0.305443 | + | 0.529043i | 0.977360 | − | 0.211583i | \(-0.0678620\pi\) |
−0.671917 | + | 0.740627i | \(0.734529\pi\) | |||||||
\(258\) | 16.3632 | − | 10.7726i | 1.01873 | − | 0.670676i | ||||
\(259\) | 22.6088 | − | 2.75219i | 1.40484 | − | 0.171013i | ||||
\(260\) | −1.17477 | + | 5.68770i | −0.0728560 | + | 0.352736i | ||||
\(261\) | −6.61130 | + | 3.81703i | −0.409229 | + | 0.236268i | ||||
\(262\) | −0.407720 | − | 6.94719i | −0.0251890 | − | 0.429199i | ||||
\(263\) | 8.74263 | − | 15.1427i | 0.539094 | − | 0.933737i | −0.459860 | − | 0.887992i | \(-0.652100\pi\) |
0.998953 | − | 0.0457458i | \(-0.0145664\pi\) | |||||||
\(264\) | −0.802716 | − | 0.954058i | −0.0494038 | − | 0.0587182i | ||||
\(265\) | 3.26923 | + | 15.9089i | 0.200827 | + | 0.977279i | ||||
\(266\) | 2.24527 | + | 0.803957i | 0.137667 | + | 0.0492938i | ||||
\(267\) | 9.71606i | 0.594613i | ||||||||
\(268\) | −2.95662 | − | 25.1023i | −0.180604 | − | 1.53337i | ||||
\(269\) | −9.86300 | + | 17.0832i | −0.601358 | + | 1.04158i | 0.391258 | + | 0.920281i | \(0.372040\pi\) |
−0.992616 | + | 0.121301i | \(0.961293\pi\) | |||||||
\(270\) | −4.58219 | − | 17.1354i | −0.278863 | − | 1.04283i | ||||
\(271\) | 2.58340 | + | 4.47458i | 0.156930 | + | 0.271811i | 0.933760 | − | 0.357899i | \(-0.116507\pi\) |
−0.776830 | + | 0.629710i | \(0.783174\pi\) | |||||||
\(272\) | −18.8016 | − | 19.8578i | −1.14002 | − | 1.20406i | ||||
\(273\) | −3.58858 | + | 2.69835i | −0.217191 | + | 0.163312i | ||||
\(274\) | −19.4077 | + | 12.7770i | −1.17246 | + | 0.771886i | ||||
\(275\) | −1.35104 | − | 1.00979i | −0.0814705 | − | 0.0608927i | ||||
\(276\) | −4.73765 | − | 6.35199i | −0.285173 | − | 0.382345i | ||||
\(277\) | −7.49971 | + | 12.9899i | −0.450614 | + | 0.780486i | −0.998424 | − | 0.0561162i | \(-0.982128\pi\) |
0.547810 | + | 0.836603i | \(0.315462\pi\) | |||||||
\(278\) | 12.4516 | + | 6.24652i | 0.746798 | + | 0.374641i | ||||
\(279\) | −2.79457 | −0.167307 | ||||||||
\(280\) | −8.01753 | − | 14.6874i | −0.479139 | − | 0.877739i | ||||
\(281\) | 23.7107 | 1.41446 | 0.707232 | − | 0.706981i | \(-0.249944\pi\) | ||||
0.707232 | + | 0.706981i | \(0.249944\pi\) | |||||||
\(282\) | 14.8466 | + | 7.44798i | 0.884100 | + | 0.443521i | ||||
\(283\) | −5.91985 | + | 10.2535i | −0.351899 | + | 0.609506i | −0.986582 | − | 0.163266i | \(-0.947797\pi\) |
0.634683 | + | 0.772772i | \(0.281131\pi\) | |||||||
\(284\) | 5.66738 | − | 4.22703i | 0.336297 | − | 0.250828i | ||||
\(285\) | −1.23681 | − | 1.39245i | −0.0732624 | − | 0.0824814i | ||||
\(286\) | −0.517477 | + | 0.340679i | −0.0305990 | + | 0.0201448i | ||||
\(287\) | −12.8590 | − | 5.47409i | −0.759043 | − | 0.323125i | ||||
\(288\) | 1.67024 | − | 7.11761i | 0.0984196 | − | 0.419409i | ||||
\(289\) | −14.8699 | − | 25.7553i | −0.874697 | − | 1.51502i | ||||
\(290\) | 18.0451 | − | 4.82544i | 1.05964 | − | 0.283360i | ||||
\(291\) | 3.94349 | − | 6.83033i | 0.231172 | − | 0.400401i | ||||
\(292\) | 23.5817 | − | 2.77752i | 1.38001 | − | 0.162542i | ||||
\(293\) | 5.93168i | 0.346533i | 0.984875 | + | 0.173266i | \(0.0554321\pi\) | ||||
−0.984875 | + | 0.173266i | \(0.944568\pi\) | |||||||
\(294\) | 2.85723 | − | 12.6167i | 0.166637 | − | 0.735819i | ||||
\(295\) | −18.9775 | + | 3.89980i | −1.10491 | + | 0.227055i | ||||
\(296\) | −15.6756 | − | 18.6310i | −0.911124 | − | 1.08291i | ||||
\(297\) | 0.946090 | − | 1.63868i | 0.0548977 | − | 0.0950856i | ||||
\(298\) | −1.20469 | − | 20.5268i | −0.0697857 | − | 1.18909i | ||||
\(299\) | −3.41002 | + | 1.96878i | −0.197207 | + | 0.113857i | ||||
\(300\) | −0.0131522 | + | 13.0675i | −0.000759341 | + | 0.754452i | ||||
\(301\) | 25.8066 | + | 10.9859i | 1.48747 | + | 0.633216i | ||||
\(302\) | −8.97530 | + | 5.90886i | −0.516471 | + | 0.340017i | ||||
\(303\) | 0.989287 | + | 1.71350i | 0.0568331 | + | 0.0984377i | ||||
\(304\) | −0.592364 | − | 2.47976i | −0.0339744 | − | 0.142224i | ||||
\(305\) | 16.8567 | + | 5.60342i | 0.965211 | + | 0.320851i | ||||
\(306\) | 5.60306 | − | 11.1690i | 0.320305 | − | 0.638487i | ||||
\(307\) | 8.83855 | 0.504443 | 0.252221 | − | 0.967670i | \(-0.418839\pi\) | ||||
0.252221 | + | 0.967670i | \(0.418839\pi\) | |||||||
\(308\) | 0.502257 | − | 1.71292i | 0.0286188 | − | 0.0976029i | ||||
\(309\) | 9.95951i | 0.566577i | ||||||||
\(310\) | 6.60392 | + | 1.77308i | 0.375077 | + | 0.100704i | ||||
\(311\) | −11.3386 | + | 19.6391i | −0.642955 | + | 1.11363i | 0.341814 | + | 0.939768i | \(0.388959\pi\) |
−0.984770 | + | 0.173864i | \(0.944375\pi\) | |||||||
\(312\) | 4.51259 | + | 1.63565i | 0.255475 | + | 0.0926005i | ||||
\(313\) | −10.2270 | − | 17.7137i | −0.578064 | − | 1.00124i | −0.995701 | − | 0.0926229i | \(-0.970475\pi\) |
0.417637 | − | 0.908614i | \(-0.362858\pi\) | |||||||
\(314\) | −21.3643 | + | 14.0651i | −1.20566 | + | 0.793741i | ||||
\(315\) | 5.06109 | − | 5.73117i | 0.285160 | − | 0.322915i | ||||
\(316\) | −19.0171 | − | 8.18317i | −1.06980 | − | 0.460339i | ||||
\(317\) | 1.04378 | + | 1.80788i | 0.0586245 | + | 0.101541i | 0.893848 | − | 0.448370i | \(-0.147995\pi\) |
−0.835224 | + | 0.549910i | \(0.814662\pi\) | |||||||
\(318\) | 13.3998 | − | 0.786415i | 0.751424 | − | 0.0441000i | ||||
\(319\) | 1.72567 | + | 0.996314i | 0.0966188 | + | 0.0557829i | ||||
\(320\) | −8.46289 | + | 15.7601i | −0.473090 | + | 0.881014i | ||||
\(321\) | − | 2.53904i | − | 0.141715i | ||||||
\(322\) | 3.82442 | − | 10.6808i | 0.213127 | − | 0.595216i | ||||
\(323\) | − | 4.35756i | − | 0.242461i | ||||||
\(324\) | −6.85754 | + | 0.807700i | −0.380974 | + | 0.0448722i | ||||
\(325\) | 6.44792 | + | 0.766035i | 0.357666 | + | 0.0424920i | ||||
\(326\) | −0.612708 | − | 10.4400i | −0.0339348 | − | 0.578218i | ||||
\(327\) | −1.73710 | + | 1.00291i | −0.0960617 | + | 0.0554613i | ||||
\(328\) | 2.61400 | + | 14.7102i | 0.144334 | + | 0.812234i | ||||
\(329\) | 2.87354 | + | 23.6058i | 0.158424 | + | 1.30143i | ||||
\(330\) | −0.986200 | + | 0.985208i | −0.0542885 | + | 0.0542339i | ||||
\(331\) | −6.62025 | − | 11.4666i | −0.363882 | − | 0.630262i | 0.624714 | − | 0.780854i | \(-0.285216\pi\) |
−0.988596 | + | 0.150591i | \(0.951882\pi\) | |||||||
\(332\) | 4.50580 | + | 6.04114i | 0.247288 | + | 0.331551i | ||||
\(333\) | 5.56278 | − | 9.63502i | 0.304839 | − | 0.527996i | ||||
\(334\) | 23.6653 | + | 11.8720i | 1.29491 | + | 0.649608i | ||||
\(335\) | −27.6808 | + | 5.68830i | −1.51236 | + | 0.310785i | ||||
\(336\) | −12.9640 | + | 4.81498i | −0.707247 | + | 0.262679i | ||||
\(337\) | − | 13.0464i | − | 0.710681i | −0.934737 | − | 0.355341i | \(-0.884365\pi\) | ||
0.934737 | − | 0.355341i | \(-0.115635\pi\) | |||||||
\(338\) | −7.17431 | + | 14.3010i | −0.390231 | + | 0.777874i | ||||
\(339\) | −7.63381 | − | 4.40738i | −0.414612 | − | 0.239376i | ||||
\(340\) | −20.3271 | + | 22.8386i | −1.10239 | + | 1.23860i | ||||
\(341\) | 0.364717 | + | 0.631708i | 0.0197505 | + | 0.0342089i | ||||
\(342\) | 0.973033 | − | 0.640593i | 0.0526156 | − | 0.0346393i | ||||
\(343\) | 17.3107 | − | 6.58317i | 0.934692 | − | 0.355458i | ||||
\(344\) | −5.24600 | − | 29.5217i | −0.282845 | − | 1.59170i | ||||
\(345\) | −6.62387 | + | 5.88351i | −0.356617 | + | 0.316758i | ||||
\(346\) | −0.804882 | − | 13.7145i | −0.0432707 | − | 0.737294i | ||||
\(347\) | −22.2014 | − | 12.8180i | −1.19184 | − | 0.688107i | −0.233113 | − | 0.972450i | \(-0.574891\pi\) |
−0.958723 | + | 0.284343i | \(0.908225\pi\) | |||||||
\(348\) | −1.80580 | − | 15.3316i | −0.0968010 | − | 0.821860i | ||||
\(349\) | 24.9774 | 1.33701 | 0.668505 | − | 0.743708i | \(-0.266935\pi\) | ||||
0.668505 | + | 0.743708i | \(0.266935\pi\) | |||||||
\(350\) | −15.5962 | + | 10.3324i | −0.833654 | + | 0.552287i | ||||
\(351\) | 7.28427i | 0.388806i | ||||||||
\(352\) | −1.82690 | + | 0.551358i | −0.0973742 | + | 0.0293875i | ||||
\(353\) | 4.78385 | − | 8.28587i | 0.254619 | − | 0.441012i | −0.710173 | − | 0.704027i | \(-0.751383\pi\) |
0.964792 | + | 0.263015i | \(0.0847168\pi\) | |||||||
\(354\) | 0.938101 | + | 15.9844i | 0.0498595 | + | 0.849561i | ||||
\(355\) | −5.24939 | − | 5.90995i | −0.278609 | − | 0.313668i | ||||
\(356\) | 13.6596 | + | 5.87782i | 0.723959 | + | 0.311524i | ||||
\(357\) | −23.4634 | + | 2.85621i | −1.24181 | + | 0.151167i | ||||
\(358\) | 1.85772 | + | 2.82180i | 0.0981838 | + | 0.149137i | ||||
\(359\) | 17.0899 | − | 9.86683i | 0.901968 | − | 0.520752i | 0.0241299 | − | 0.999709i | \(-0.492318\pi\) |
0.877838 | + | 0.478957i | \(0.158985\pi\) | |||||||
\(360\) | −8.08804 | − | 1.18155i | −0.426277 | − | 0.0622732i | ||||
\(361\) | −9.29687 | + | 16.1027i | −0.489309 | + | 0.847508i | ||||
\(362\) | −6.25994 | + | 12.4784i | −0.329015 | + | 0.655848i | ||||
\(363\) | 14.2255 | 0.746647 | ||||||||
\(364\) | 1.62262 | + | 6.67751i | 0.0850482 | + | 0.349996i | ||||
\(365\) | −5.34373 | − | 26.0040i | −0.279703 | − | 1.36111i | ||||
\(366\) | 6.58297 | − | 13.1223i | 0.344097 | − | 0.685913i | ||||
\(367\) | 8.78783 | + | 5.07365i | 0.458721 | + | 0.264843i | 0.711506 | − | 0.702680i | \(-0.248013\pi\) |
−0.252785 | + | 0.967522i | \(0.581347\pi\) | |||||||
\(368\) | −11.7962 | + | 2.81788i | −0.614921 | + | 0.146892i | ||||
\(369\) | −5.91226 | + | 3.41345i | −0.307780 | + | 0.177697i | ||||
\(370\) | −19.2587 | + | 19.2393i | −1.00121 | + | 1.00020i | ||||
\(371\) | 11.5492 | + | 15.3594i | 0.599603 | + | 0.797422i | ||||
\(372\) | 2.23371 | − | 5.19099i | 0.115813 | − | 0.269140i | ||||
\(373\) | 9.28187 | + | 16.0767i | 0.480597 | + | 0.832419i | 0.999752 | − | 0.0222614i | \(-0.00708662\pi\) |
−0.519155 | + | 0.854680i | \(0.673753\pi\) | |||||||
\(374\) | −3.25597 | + | 0.191088i | −0.168362 | + | 0.00988094i | ||||
\(375\) | 14.5579 | − | 1.23199i | 0.751765 | − | 0.0636195i | ||||
\(376\) | 19.4525 | − | 16.3668i | 1.00319 | − | 0.844053i | ||||
\(377\) | −7.67097 | −0.395075 | ||||||||
\(378\) | −13.5742 | − | 16.0065i | −0.698181 | − | 0.823288i | ||||
\(379\) | 23.9371 | 1.22956 | 0.614782 | − | 0.788697i | \(-0.289244\pi\) | ||||
0.614782 | + | 0.788697i | \(0.289244\pi\) | |||||||
\(380\) | −2.70583 | + | 0.896437i | −0.138806 | + | 0.0459862i | ||||
\(381\) | −2.93559 | + | 5.08459i | −0.150395 | + | 0.260491i | ||||
\(382\) | 1.06698 | + | 18.1804i | 0.0545916 | + | 0.930192i | ||||
\(383\) | −19.1286 | + | 11.0439i | −0.977428 | + | 0.564318i | −0.901493 | − | 0.432794i | \(-0.857528\pi\) |
−0.0759355 | + | 0.997113i | \(0.524194\pi\) | |||||||
\(384\) | 11.8861 | + | 8.79163i | 0.606560 | + | 0.448646i | ||||
\(385\) | −1.95604 | − | 0.396080i | −0.0996889 | − | 0.0201861i | ||||
\(386\) | −5.84929 | + | 3.85086i | −0.297721 | + | 0.196003i | ||||
\(387\) | 11.8653 | − | 6.85041i | 0.603145 | − | 0.348226i | ||||
\(388\) | −7.21698 | − | 9.67615i | −0.366387 | − | 0.491232i | ||||
\(389\) | −2.69778 | − | 1.55757i | −0.136783 | − | 0.0789717i | 0.430047 | − | 0.902807i | \(-0.358497\pi\) |
−0.566830 | + | 0.823835i | \(0.691830\pi\) | |||||||
\(390\) | 1.39154 | − | 5.18287i | 0.0704635 | − | 0.262445i | ||||
\(391\) | −20.7289 | −1.04831 | ||||||||
\(392\) | −16.0090 | − | 11.6495i | −0.808578 | − | 0.588388i | ||||
\(393\) | 6.43032i | 0.324367i | ||||||||
\(394\) | −4.16395 | + | 8.30029i | −0.209777 | + | 0.418163i | ||||
\(395\) | −7.30146 | + | 21.9649i | −0.367376 | + | 1.10517i | ||||
\(396\) | −0.521321 | − | 0.698959i | −0.0261973 | − | 0.0351240i | ||||
\(397\) | 21.1570 | − | 12.2150i | 1.06184 | − | 0.613054i | 0.135900 | − | 0.990723i | \(-0.456607\pi\) |
0.925941 | + | 0.377668i | \(0.123274\pi\) | |||||||
\(398\) | 21.4917 | + | 32.6449i | 1.07728 | + | 1.63634i | ||||
\(399\) | −2.02757 | − | 0.863139i | −0.101506 | − | 0.0432110i | ||||
\(400\) | 18.3634 | + | 7.92378i | 0.918169 | + | 0.396189i | ||||
\(401\) | −12.5658 | − | 21.7647i | −0.627508 | − | 1.08688i | −0.988050 | − | 0.154133i | \(-0.950742\pi\) |
0.360542 | − | 0.932743i | \(-0.382592\pi\) | |||||||
\(402\) | 1.36832 | + | 23.3150i | 0.0682458 | + | 1.16285i | ||||
\(403\) | −2.43187 | − | 1.40404i | −0.121140 | − | 0.0699402i | ||||
\(404\) | 3.00745 | − | 0.354226i | 0.149626 | − | 0.0176234i | ||||
\(405\) | 1.55395 | + | 7.56194i | 0.0772165 | + | 0.375756i | ||||
\(406\) | 16.8563 | − | 14.2948i | 0.836563 | − | 0.709438i | ||||
\(407\) | −2.90397 | −0.143945 | ||||||||
\(408\) | 16.2681 | + | 19.3352i | 0.805389 | + | 0.957235i | ||||
\(409\) | 9.63575 | + | 5.56320i | 0.476457 | + | 0.275083i | 0.718939 | − | 0.695073i | \(-0.244628\pi\) |
−0.242482 | + | 0.970156i | \(0.577961\pi\) | |||||||
\(410\) | 16.1371 | − | 4.31523i | 0.796956 | − | 0.213114i | ||||
\(411\) | 18.5938 | − | 10.7352i | 0.917166 | − | 0.529526i | ||||
\(412\) | 14.0019 | + | 6.02509i | 0.689823 | + | 0.296835i | ||||
\(413\) | −18.3220 | + | 13.7768i | −0.901566 | + | 0.677912i | ||||
\(414\) | −3.04730 | − | 4.62872i | −0.149767 | − | 0.227489i | ||||
\(415\) | 6.29971 | − | 5.59559i | 0.309241 | − | 0.274677i | ||||
\(416\) | 5.02946 | − | 5.35467i | 0.246590 | − | 0.262534i | ||||
\(417\) | −11.1475 | − | 6.43602i | −0.545896 | − | 0.315173i | ||||
\(418\) | −0.271794 | − | 0.136349i | −0.0132939 | − | 0.00666906i | ||||
\(419\) | 4.05377i | 0.198040i | 0.995085 | + | 0.0990198i | \(0.0315707\pi\) | ||||
−0.995085 | + | 0.0990198i | \(0.968429\pi\) | |||||||
\(420\) | 6.60045 | + | 13.9820i | 0.322069 | + | 0.682253i | ||||
\(421\) | − | 22.4223i | − | 1.09279i | −0.837526 | − | 0.546397i | \(-0.815999\pi\) | ||
0.837526 | − | 0.546397i | \(-0.184001\pi\) | |||||||
\(422\) | 10.3182 | − | 20.5680i | 0.502283 | − | 1.00123i | ||||
\(423\) | 10.0599 | + | 5.80807i | 0.489128 | + | 0.282398i | ||||
\(424\) | 7.00073 | − | 19.3143i | 0.339985 | − | 0.937985i | ||||
\(425\) | 27.3805 | + | 20.4647i | 1.32815 | + | 0.992684i | ||||
\(426\) | −5.45656 | + | 3.59230i | −0.264371 | + | 0.174048i | ||||
\(427\) | 20.8642 | − | 2.53981i | 1.00969 | − | 0.122910i | ||||
\(428\) | −3.56959 | − | 1.53601i | −0.172542 | − | 0.0742460i | ||||
\(429\) | 0.495776 | − | 0.286236i | 0.0239363 | − | 0.0138196i | ||||
\(430\) | −32.3854 | + | 8.66019i | −1.56176 | + | 0.417631i | ||||
\(431\) | 14.0817 | + | 8.13005i | 0.678289 | + | 0.391611i | 0.799210 | − | 0.601052i | \(-0.205251\pi\) |
−0.120921 | + | 0.992662i | \(0.538585\pi\) | |||||||
\(432\) | −6.39668 | + | 21.5052i | −0.307760 | + | 1.03467i | ||||
\(433\) | 2.53783 | 0.121960 | 0.0609801 | − | 0.998139i | \(-0.480577\pi\) | ||||
0.0609801 | + | 0.998139i | \(0.480577\pi\) | |||||||
\(434\) | 7.96024 | − | 1.44651i | 0.382104 | − | 0.0694349i | ||||
\(435\) | −16.9065 | + | 3.47422i | −0.810603 | + | 0.166576i | ||||
\(436\) | 0.359105 | + | 3.04888i | 0.0171980 | + | 0.146015i | ||||
\(437\) | −1.67365 | − | 0.966283i | −0.0800616 | − | 0.0462236i | ||||
\(438\) | −21.9027 | + | 1.28544i | −1.04655 | + | 0.0614206i | ||||
\(439\) | −11.3888 | − | 19.7261i | −0.543560 | − | 0.941473i | −0.998696 | − | 0.0510514i | \(-0.983743\pi\) |
0.455136 | − | 0.890422i | \(-0.349591\pi\) | |||||||
\(440\) | 0.788475 | + | 1.98249i | 0.0375891 | + | 0.0945115i | ||||
\(441\) | 2.51170 | − | 8.69118i | 0.119605 | − | 0.413866i | ||||
\(442\) | 10.4873 | − | 6.90429i | 0.498831 | − | 0.328403i | ||||
\(443\) | 1.64896 | − | 0.952029i | 0.0783446 | − | 0.0452323i | −0.460316 | − | 0.887755i | \(-0.652264\pi\) |
0.538661 | + | 0.842523i | \(0.318931\pi\) | |||||||
\(444\) | 13.4509 | + | 18.0343i | 0.638353 | + | 0.855870i | ||||
\(445\) | 5.24451 | − | 15.7770i | 0.248613 | − | 0.747900i | ||||
\(446\) | 2.25566 | + | 1.13158i | 0.106808 | + | 0.0535819i | ||||
\(447\) | 18.9996i | 0.898652i | ||||||||
\(448\) | −1.07342 | + | 21.1388i | −0.0507145 | + | 0.998713i | ||||
\(449\) | −22.8903 | −1.08026 | −0.540130 | − | 0.841582i | \(-0.681625\pi\) | ||||
−0.540130 | + | 0.841582i | \(0.681625\pi\) | |||||||
\(450\) | −0.544597 | + | 9.12245i | −0.0256725 | + | 0.430036i | ||||
\(451\) | 1.54321 | + | 0.890970i | 0.0726667 | + | 0.0419542i | ||||
\(452\) | −10.8144 | + | 8.06594i | −0.508666 | + | 0.379390i | ||||
\(453\) | 8.59892 | − | 4.96459i | 0.404012 | − | 0.233257i | ||||
\(454\) | −16.4819 | − | 25.0354i | −0.773535 | − | 1.17497i | ||||
\(455\) | 7.28365 | − | 2.44456i | 0.341463 | − | 0.114603i | ||||
\(456\) | 0.412167 | + | 2.31946i | 0.0193015 | + | 0.108619i | ||||
\(457\) | −32.0413 | + | 18.4990i | −1.49883 | + | 0.865349i | −0.999999 | − | 0.00135206i | \(-0.999570\pi\) |
−0.498829 | + | 0.866701i | \(0.666236\pi\) | |||||||
\(458\) | −11.5130 | + | 0.675680i | −0.537966 | + | 0.0315725i | ||||
\(459\) | −19.1737 | + | 33.2098i | −0.894952 | + | 1.55010i | ||||
\(460\) | 4.26435 | + | 12.8717i | 0.198826 | + | 0.600144i | ||||
\(461\) | −7.04683 | −0.328204 | −0.164102 | − | 0.986443i | \(-0.552473\pi\) | ||||
−0.164102 | + | 0.986443i | \(0.552473\pi\) | |||||||
\(462\) | −0.556025 | + | 1.55285i | −0.0258686 | + | 0.0722453i | ||||
\(463\) | 36.8182 | 1.71109 | 0.855543 | − | 0.517731i | \(-0.173223\pi\) | ||||
0.855543 | + | 0.517731i | \(0.173223\pi\) | |||||||
\(464\) | −22.6468 | − | 6.73625i | −1.05135 | − | 0.312723i | ||||
\(465\) | −5.99563 | − | 1.99304i | −0.278041 | − | 0.0924249i | ||||
\(466\) | 2.24554 | + | 38.2620i | 0.104023 | + | 1.77245i | ||||
\(467\) | −13.6516 | − | 23.6452i | −0.631719 | − | 1.09417i | −0.987200 | − | 0.159486i | \(-0.949016\pi\) |
0.355481 | − | 0.934683i | \(-0.384317\pi\) | |||||||
\(468\) | 3.08342 | + | 1.32681i | 0.142531 | + | 0.0613320i | ||||
\(469\) | −26.7247 | + | 20.0950i | −1.23403 | + | 0.927901i | ||||
\(470\) | −20.0877 | − | 20.1079i | −0.926575 | − | 0.927508i | ||||
\(471\) | 20.4684 | − | 11.8174i | 0.943134 | − | 0.544519i | ||||
\(472\) | 23.0397 | + | 8.35104i | 1.06049 | + | 0.384388i | ||||
\(473\) | −3.09704 | − | 1.78808i | −0.142402 | − | 0.0822160i | ||||
\(474\) | 17.0988 | + | 8.57786i | 0.785375 | + | 0.393994i | ||||
\(475\) | 1.25673 | + | 2.92866i | 0.0576626 | + | 0.134376i | ||||
\(476\) | −10.1789 | + | 34.7146i | −0.466548 | + | 1.59114i | ||||
\(477\) | 9.38722 | 0.429811 | ||||||||
\(478\) | −23.6114 | − | 11.8450i | −1.07996 | − | 0.541777i | ||||
\(479\) | 8.50010 | − | 14.7226i | 0.388379 | − | 0.672693i | −0.603852 | − | 0.797096i | \(-0.706368\pi\) |
0.992232 | + | 0.124403i | \(0.0397017\pi\) | |||||||
\(480\) | 8.65956 | − | 14.0793i | 0.395253 | − | 0.642630i | ||||
\(481\) | 9.68159 | − | 5.58967i | 0.441443 | − | 0.254867i | ||||
\(482\) | 23.8248 | − | 15.6850i | 1.08519 | − | 0.714431i | ||||
\(483\) | −4.10595 | + | 9.64516i | −0.186827 | + | 0.438870i | ||||
\(484\) | 8.60587 | − | 19.9994i | 0.391176 | − | 0.909064i | ||||
\(485\) | −10.0903 | + | 8.96251i | −0.458177 | + | 0.406966i | ||||
\(486\) | −17.3872 | + | 1.02043i | −0.788701 | + | 0.0462877i | ||||
\(487\) | −19.8165 | + | 34.3232i | −0.897973 | + | 1.55533i | −0.0678912 | + | 0.997693i | \(0.521627\pi\) |
−0.830082 | + | 0.557642i | \(0.811706\pi\) | |||||||
\(488\) | −14.4659 | − | 17.1933i | −0.654843 | − | 0.778305i | ||||
\(489\) | 9.66327i | 0.436988i | ||||||||
\(490\) | −11.4498 | + | 18.9447i | −0.517248 | + | 0.855836i | ||||
\(491\) | −42.8252 | −1.93267 | −0.966337 | − | 0.257280i | \(-0.917174\pi\) | ||||
−0.966337 | + | 0.257280i | \(0.917174\pi\) | |||||||
\(492\) | −1.61487 | − | 13.7105i | −0.0728038 | − | 0.618119i | ||||
\(493\) | −34.9728 | − | 20.1916i | −1.57510 | − | 0.909383i | ||||
\(494\) | 1.16859 | − | 0.0685828i | 0.0525773 | − | 0.00308569i | ||||
\(495\) | −0.728876 | + | 0.647409i | −0.0327606 | + | 0.0290989i | ||||
\(496\) | −5.94660 | − | 6.28066i | −0.267010 | − | 0.282010i | ||||
\(497\) | −8.60561 | − | 3.66342i | −0.386014 | − | 0.164327i | ||||
\(498\) | −3.82922 | − | 5.81642i | −0.171591 | − | 0.260640i | ||||
\(499\) | −0.363871 | − | 0.630243i | −0.0162891 | − | 0.0282136i | 0.857766 | − | 0.514040i | \(-0.171852\pi\) |
−0.874055 | + | 0.485827i | \(0.838519\pi\) | |||||||
\(500\) | 7.07488 | − | 21.2119i | 0.316398 | − | 0.948626i | ||||
\(501\) | −21.1868 | − | 12.2322i | −0.946555 | − | 0.546494i | ||||
\(502\) | 27.2178 | + | 13.6542i | 1.21479 | + | 0.609416i | ||||
\(503\) | 4.71017i | 0.210016i | 0.994471 | + | 0.105008i | \(0.0334868\pi\) | ||||
−0.994471 | + | 0.105008i | \(0.966513\pi\) | |||||||
\(504\) | −9.24805 | + | 2.83037i | −0.411941 | + | 0.126075i | ||||
\(505\) | −0.681503 | − | 3.31637i | −0.0303265 | − | 0.147577i | ||||
\(506\) | −0.648614 | + | 1.29293i | −0.0288344 | + | 0.0574776i | ||||
\(507\) | 7.39196 | − | 12.8032i | 0.328288 | − | 0.568612i | ||||
\(508\) | 5.37242 | + | 7.20306i | 0.238363 | + | 0.319584i | ||||
\(509\) | −16.9005 | − | 29.2726i | −0.749103 | − | 1.29749i | −0.948253 | − | 0.317516i | \(-0.897151\pi\) |
0.199150 | − | 0.979969i | \(-0.436182\pi\) | |||||||
\(510\) | 19.9866 | − | 19.9665i | 0.885021 | − | 0.884131i | ||||
\(511\) | −18.8777 | − | 25.1058i | −0.835101 | − | 1.11061i | ||||
\(512\) | 19.5506 | − | 11.3919i | 0.864022 | − | 0.503454i | ||||
\(513\) | −3.09617 | + | 1.78757i | −0.136699 | + | 0.0789232i | ||||
\(514\) | −13.8260 | + | 0.811426i | −0.609837 | + | 0.0357905i | ||||
\(515\) | 5.37591 | − | 16.1723i | 0.236891 | − | 0.712636i | ||||
\(516\) | 3.24086 | + | 27.5155i | 0.142671 | + | 1.21130i | ||||
\(517\) | − | 3.03202i | − | 0.133348i | ||||||
\(518\) | −10.8581 | + | 30.3244i | −0.477079 | + | 1.33238i | ||||
\(519\) | 12.6941i | 0.557210i | ||||||||
\(520\) | −6.44468 | − | 5.09177i | −0.282618 | − | 0.223289i | ||||
\(521\) | −1.19800 | − | 0.691667i | −0.0524855 | − | 0.0303025i | 0.473528 | − | 0.880779i | \(-0.342980\pi\) |
−0.526013 | + | 0.850476i | \(0.676314\pi\) | |||||||
\(522\) | −0.632525 | − | 10.7777i | −0.0276849 | − | 0.471725i | ||||
\(523\) | 10.5809 | + | 18.3267i | 0.462671 | + | 0.801370i | 0.999093 | − | 0.0425801i | \(-0.0135578\pi\) |
−0.536422 | + | 0.843950i | \(0.680224\pi\) | |||||||
\(524\) | 9.04027 | + | 3.89008i | 0.394926 | + | 0.169939i | ||||
\(525\) | 14.9457 | − | 8.68650i | 0.652284 | − | 0.379110i | ||||
\(526\) | 13.5974 | + | 20.6538i | 0.592873 | + | 0.900549i | ||||
\(527\) | −7.39145 | − | 12.8024i | −0.321977 | − | 0.557680i | ||||
\(528\) | 1.71503 | − | 0.409685i | 0.0746370 | − | 0.0178292i | ||||
\(529\) | 6.90339 | − | 11.9570i | 0.300147 | − | 0.519871i | ||||
\(530\) | −22.1831 | − | 5.95592i | −0.963574 | − | 0.258709i | ||||
\(531\) | 11.1978i | 0.485945i | ||||||||
\(532\) | −2.44007 | + | 2.32836i | −0.105790 | + | 0.100947i | ||||
\(533\) | −6.85989 | −0.297135 | ||||||||
\(534\) | −12.2818 | − | 6.16132i | −0.531484 | − | 0.266626i | ||||
\(535\) | −1.37051 | + | 4.12290i | −0.0592525 | + | 0.178248i | ||||
\(536\) | 33.6059 | + | 12.1809i | 1.45155 | + | 0.526136i | ||||
\(537\) | −1.56085 | − | 2.70347i | −0.0673556 | − | 0.116663i | ||||
\(538\) | −15.3399 | − | 23.3006i | −0.661349 | − | 1.00456i | ||||
\(539\) | −2.29243 | + | 0.566512i | −0.0987418 | + | 0.0244014i | ||||
\(540\) | 24.5661 | + | 5.07402i | 1.05716 | + | 0.218351i | ||||
\(541\) | 2.03605 | − | 1.17551i | 0.0875366 | − | 0.0505393i | −0.455593 | − | 0.890188i | \(-0.650573\pi\) |
0.543129 | + | 0.839649i | \(0.317239\pi\) | |||||||
\(542\) | −7.29440 | + | 0.428098i | −0.313321 | + | 0.0183884i | ||||
\(543\) | 6.44984 | − | 11.1715i | 0.276789 | − | 0.479413i | ||||
\(544\) | 37.0245 | − | 11.1740i | 1.58741 | − | 0.479080i | ||||
\(545\) | 3.36206 | − | 0.690890i | 0.144015 | − | 0.0295945i | ||||
\(546\) | −1.13525 | − | 6.24734i | −0.0485842 | − | 0.267361i | ||||
\(547\) | − | 37.9822i | − | 1.62400i | −0.583656 | − | 0.812001i | \(-0.698378\pi\) | ||
0.583656 | − | 0.812001i | \(-0.301622\pi\) | |||||||
\(548\) | −3.84385 | − | 32.6350i | −0.164201 | − | 1.39410i | ||||
\(549\) | 5.13352 | − | 8.89152i | 0.219093 | − | 0.379481i | ||||
\(550\) | 2.13319 | − | 1.06746i | 0.0909594 | − | 0.0455165i | ||||
\(551\) | −1.88247 | − | 3.26053i | −0.0801958 | − | 0.138903i | ||||
\(552\) | 11.0337 | − | 1.96068i | 0.469624 | − | 0.0834521i | ||||
\(553\) | 3.30947 | + | 27.1868i | 0.140733 | + | 1.15610i | ||||
\(554\) | −11.6643 | − | 17.7175i | −0.495567 | − | 0.752745i | ||||
\(555\) | 18.8062 | − | 16.7042i | 0.798279 | − | 0.709055i | ||||
\(556\) | −15.7921 | + | 11.7785i | −0.669733 | + | 0.499522i | ||||
\(557\) | −12.5827 | + | 21.7938i | −0.533144 | + | 0.923433i | 0.466106 | + | 0.884729i | \(0.345656\pi\) |
−0.999251 | + | 0.0387043i | \(0.987677\pi\) | |||||||
\(558\) | 1.77214 | − | 3.53253i | 0.0750208 | − | 0.149544i | ||||
\(559\) | 13.7670 | 0.582284 | ||||||||
\(560\) | 23.6501 | − | 0.820891i | 0.999398 | − | 0.0346890i | ||||
\(561\) | 3.01373 | 0.127240 | ||||||||
\(562\) | −15.0359 | + | 29.9720i | −0.634250 | + | 1.26429i | ||||
\(563\) | 22.7306 | − | 39.3705i | 0.957980 | − | 1.65927i | 0.230585 | − | 0.973052i | \(-0.425936\pi\) |
0.727396 | − | 0.686218i | \(-0.240731\pi\) | |||||||
\(564\) | −18.8295 | + | 14.0440i | −0.792866 | + | 0.591361i | ||||
\(565\) | 10.0168 | + | 11.2773i | 0.421410 | + | 0.474438i | ||||
\(566\) | −9.20711 | − | 13.9852i | −0.387004 | − | 0.587842i | ||||
\(567\) | 5.48963 | + | 7.30074i | 0.230543 | + | 0.306602i | ||||
\(568\) | 1.74936 | + | 9.84447i | 0.0734015 | + | 0.413065i | ||||
\(569\) | −5.41670 | − | 9.38201i | −0.227080 | − | 0.393314i | 0.729861 | − | 0.683595i | \(-0.239585\pi\) |
−0.956941 | + | 0.290281i | \(0.906251\pi\) | |||||||
\(570\) | 2.54446 | − | 0.680413i | 0.106576 | − | 0.0284994i | ||||
\(571\) | 0.714547 | − | 1.23763i | 0.0299029 | − | 0.0517933i | −0.850687 | − | 0.525673i | \(-0.823814\pi\) |
0.880590 | + | 0.473880i | \(0.157147\pi\) | |||||||
\(572\) | −0.102490 | − | 0.870163i | −0.00428533 | − | 0.0363833i | ||||
\(573\) | − | 16.8278i | − | 0.702993i | ||||||
\(574\) | 15.0740 | − | 12.7833i | 0.629177 | − | 0.533567i | ||||
\(575\) | 13.9316 | − | 5.97826i | 0.580990 | − | 0.249311i | ||||
\(576\) | 7.93798 | + | 6.62483i | 0.330749 | + | 0.276035i | ||||
\(577\) | 7.32076 | − | 12.6799i | 0.304767 | − | 0.527872i | −0.672442 | − | 0.740149i | \(-0.734755\pi\) |
0.977209 | + | 0.212277i | \(0.0680880\pi\) | |||||||
\(578\) | 41.9861 | − | 2.46410i | 1.74639 | − | 0.102493i | ||||
\(579\) | 5.60399 | − | 3.23547i | 0.232894 | − | 0.134461i | ||||
\(580\) | −5.34338 | + | 25.8702i | −0.221872 | + | 1.07420i | ||||
\(581\) | 3.90502 | − | 9.17314i | 0.162007 | − | 0.380566i | ||||
\(582\) | 6.13329 | + | 9.31621i | 0.254233 | + | 0.386169i | ||||
\(583\) | −1.22512 | − | 2.12196i | −0.0507391 | − | 0.0878827i | ||||
\(584\) | −11.4431 | + | 31.5702i | −0.473517 | + | 1.30638i | ||||
\(585\) | 1.18385 | − | 3.56138i | 0.0489464 | − | 0.147245i | ||||
\(586\) | −7.49806 | − | 3.76150i | −0.309742 | − | 0.155386i | ||||
\(587\) | −20.7299 | −0.855616 | −0.427808 | − | 0.903870i | \(-0.640714\pi\) | ||||
−0.427808 | + | 0.903870i | \(0.640714\pi\) | |||||||
\(588\) | 14.1365 | + | 11.6124i | 0.582978 | + | 0.478889i | ||||
\(589\) | − | 1.37821i | − | 0.0567884i | ||||||
\(590\) | 7.10471 | − | 26.4619i | 0.292496 | − | 1.08942i | ||||
\(591\) | 4.29027 | − | 7.43097i | 0.176478 | − | 0.305669i | ||||
\(592\) | 33.4913 | − | 8.00040i | 1.37649 | − | 0.328814i | ||||
\(593\) | −0.830997 | − | 1.43933i | −0.0341249 | − | 0.0591061i | 0.848459 | − | 0.529262i | \(-0.177531\pi\) |
−0.882583 | + | 0.470156i | \(0.844198\pi\) | |||||||
\(594\) | 1.47145 | + | 2.23507i | 0.0603742 | + | 0.0917059i | ||||
\(595\) | 39.6416 | + | 8.02706i | 1.62515 | + | 0.329077i | ||||
\(596\) | 26.7112 | + | 11.4940i | 1.09413 | + | 0.470812i | ||||
\(597\) | −18.0572 | − | 31.2760i | −0.739031 | − | 1.28004i | ||||
\(598\) | −0.326249 | − | 5.55898i | −0.0133413 | − | 0.227324i | ||||
\(599\) | −31.9015 | − | 18.4183i | −1.30346 | − | 0.752553i | −0.322464 | − | 0.946582i | \(-0.604511\pi\) |
−0.980996 | + | 0.194029i | \(0.937844\pi\) | |||||||
\(600\) | −16.5099 | − | 8.30320i | −0.674012 | − | 0.338977i | ||||
\(601\) | 36.8443i | 1.50291i | 0.659785 | + | 0.751455i | \(0.270647\pi\) | ||||
−0.659785 | + | 0.751455i | \(0.729353\pi\) | |||||||
\(602\) | −30.2519 | + | 25.6548i | −1.23297 | + | 1.04561i | ||||
\(603\) | 16.3333i | 0.665143i | ||||||||
\(604\) | −1.77763 | − | 15.0924i | −0.0723307 | − | 0.614102i | ||||
\(605\) | −23.0995 | − | 7.67861i | −0.939127 | − | 0.312180i | ||||
\(606\) | −2.79332 | + | 0.163936i | −0.113471 | + | 0.00665944i | ||||
\(607\) | 16.7562 | − | 9.67418i | 0.680112 | − | 0.392663i | −0.119785 | − | 0.992800i | \(-0.538221\pi\) |
0.799897 | + | 0.600137i | \(0.204887\pi\) | |||||||
\(608\) | 3.51023 | + | 0.823720i | 0.142359 | + | 0.0334062i | ||||
\(609\) | −16.3225 | + | 12.2733i | −0.661421 | + | 0.497340i | ||||
\(610\) | −17.7726 | + | 17.7547i | −0.719590 | + | 0.718866i | ||||
\(611\) | 5.83615 | + | 10.1085i | 0.236105 | + | 0.408946i | ||||
\(612\) | 10.5652 | + | 14.1653i | 0.427074 | + | 0.572598i | ||||
\(613\) | 6.61363 | − | 11.4551i | 0.267122 | − | 0.462669i | −0.700995 | − | 0.713166i | \(-0.747261\pi\) |
0.968117 | + | 0.250497i | \(0.0805940\pi\) | |||||||
\(614\) | −5.60485 | + | 11.1725i | −0.226193 | + | 0.450887i | ||||
\(615\) | −15.1189 | + | 3.10688i | −0.609652 | + | 0.125281i | ||||
\(616\) | 1.84675 | + | 1.72112i | 0.0744079 | + | 0.0693458i | ||||
\(617\) | 12.0831i | 0.486448i | 0.969970 | + | 0.243224i | \(0.0782049\pi\) | ||||
−0.969970 | + | 0.243224i | \(0.921795\pi\) | |||||||
\(618\) | −12.5895 | − | 6.31569i | −0.506424 | − | 0.254054i | ||||
\(619\) | −10.4861 | − | 6.05415i | −0.421472 | − | 0.243337i | 0.274235 | − | 0.961663i | \(-0.411575\pi\) |
−0.695707 | + | 0.718326i | \(0.744909\pi\) | |||||||
\(620\) | −6.42908 | + | 7.22343i | −0.258198 | + | 0.290100i | ||||
\(621\) | 8.50348 | + | 14.7285i | 0.341233 | + | 0.591033i | ||||
\(622\) | −17.6349 | − | 26.7867i | −0.707096 | − | 1.07405i | ||||
\(623\) | −2.37713 | − | 19.5278i | −0.0952376 | − | 0.782364i | ||||
\(624\) | −4.92918 | + | 4.66700i | −0.197325 | + | 0.186830i | ||||
\(625\) | −24.3041 | − | 5.85749i | −0.972164 | − | 0.234300i | ||||
\(626\) | 28.8766 | − | 1.69473i | 1.15414 | − | 0.0677350i | ||||
\(627\) | 0.243328 | + | 0.140486i | 0.00971760 | + | 0.00561046i | ||||
\(628\) | −4.23137 | − | 35.9252i | −0.168850 | − | 1.43357i | ||||
\(629\) | 58.8527 | 2.34661 | ||||||||
\(630\) | 4.03518 | + | 10.0319i | 0.160765 | + | 0.399681i | ||||
\(631\) | 3.98549i | 0.158660i | 0.996848 | + | 0.0793299i | \(0.0252780\pi\) | ||||
−0.996848 | + | 0.0793299i | \(0.974722\pi\) | |||||||
\(632\) | 22.4035 | − | 18.8497i | 0.891165 | − | 0.749800i | ||||
\(633\) | −10.6312 | + | 18.4138i | −0.422554 | + | 0.731884i | ||||
\(634\) | −2.94718 | + | 0.172966i | −0.117048 | + | 0.00686935i | ||||
\(635\) | 7.51136 | − | 6.67181i | 0.298079 | − | 0.264763i | ||||
\(636\) | −7.50323 | + | 17.4370i | −0.297523 | + | 0.691421i | ||||
\(637\) | 6.55231 | − | 6.30125i | 0.259612 | − | 0.249664i | ||||
\(638\) | −2.35372 | + | 1.54956i | −0.0931846 | + | 0.0613477i | ||||
\(639\) | −3.95665 | + | 2.28437i | −0.156523 | + | 0.0903684i | ||||
\(640\) | −14.5552 | − | 20.6917i | −0.575343 | − | 0.817912i | ||||
\(641\) | −3.32962 | + | 5.76707i | −0.131512 | + | 0.227786i | −0.924260 | − | 0.381764i | \(-0.875317\pi\) |
0.792748 | + | 0.609550i | \(0.208650\pi\) | |||||||
\(642\) | 3.20952 | + | 1.61010i | 0.126670 | + | 0.0635455i | ||||
\(643\) | 22.3506 | 0.881421 | 0.440711 | − | 0.897649i | \(-0.354727\pi\) | ||||
0.440711 | + | 0.897649i | \(0.354727\pi\) | |||||||
\(644\) | 11.0760 | + | 11.6074i | 0.436456 | + | 0.457396i | ||||
\(645\) | 30.3419 | − | 6.23516i | 1.19471 | − | 0.245509i | ||||
\(646\) | 5.50826 | + | 2.76329i | 0.216719 | + | 0.108720i | ||||
\(647\) | 9.62380 | + | 5.55631i | 0.378351 | + | 0.218441i | 0.677100 | − | 0.735891i | \(-0.263236\pi\) |
−0.298750 | + | 0.954331i | \(0.596570\pi\) | |||||||
\(648\) | 3.32763 | − | 9.18059i | 0.130722 | − | 0.360648i | ||||
\(649\) | 2.53125 | − | 1.46142i | 0.0993603 | − | 0.0573657i | ||||
\(650\) | −5.05719 | + | 7.66484i | −0.198359 | + | 0.300640i | ||||
\(651\) | −7.42102 | + | 0.903366i | −0.290853 | + | 0.0354057i | ||||
\(652\) | 13.5854 | + | 5.84588i | 0.532046 | + | 0.228942i | ||||
\(653\) | 7.41053 | + | 12.8354i | 0.289997 | + | 0.502289i | 0.973809 | − | 0.227369i | \(-0.0730125\pi\) |
−0.683812 | + | 0.729658i | \(0.739679\pi\) | |||||||
\(654\) | −0.166194 | − | 2.83180i | −0.00649870 | − | 0.110732i | ||||
\(655\) | 3.47094 | − | 10.4416i | 0.135621 | − | 0.407986i | ||||
\(656\) | −20.2523 | − | 6.02401i | −0.790720 | − | 0.235198i | ||||
\(657\) | −15.3439 | −0.598622 | ||||||||
\(658\) | −31.6615 | − | 11.3369i | −1.23429 | − | 0.441960i | ||||
\(659\) | −0.263237 | −0.0102542 | −0.00512712 | − | 0.999987i | \(-0.501632\pi\) | ||||
−0.00512712 | + | 0.999987i | \(0.501632\pi\) | |||||||
\(660\) | −0.619985 | − | 1.87138i | −0.0241329 | − | 0.0728434i | ||||
\(661\) | 13.3229 | − | 23.0759i | 0.518199 | − | 0.897547i | −0.481577 | − | 0.876404i | \(-0.659936\pi\) |
0.999776 | − | 0.0211434i | \(-0.00673066\pi\) | |||||||
\(662\) | 18.6927 | − | 1.09705i | 0.726514 | − | 0.0426380i | ||||
\(663\) | −10.0475 | + | 5.80094i | −0.390214 | + | 0.225290i | ||||
\(664\) | −10.4937 | + | 1.86473i | −0.407235 | + | 0.0723655i | ||||
\(665\) | 2.82647 | + | 2.49600i | 0.109606 | + | 0.0967909i | ||||
\(666\) | 8.65176 | + | 13.1417i | 0.335249 | + | 0.509229i | ||||
\(667\) | −15.5103 | + | 8.95490i | −0.600563 | + | 0.346735i | ||||
\(668\) | −30.0141 | + | 22.3861i | −1.16128 | + | 0.866144i | ||||
\(669\) | −2.01941 | − | 1.16591i | −0.0780750 | − | 0.0450766i | ||||
\(670\) | 10.3630 | − | 38.5976i | 0.400358 | − | 1.49115i | ||||
\(671\) | −2.67988 | −0.103456 | ||||||||
\(672\) | 2.13452 | − | 19.4408i | 0.0823407 | − | 0.749945i | ||||
\(673\) | 36.5349i | 1.40832i | 0.710043 | + | 0.704158i | \(0.248676\pi\) | ||||
−0.710043 | + | 0.704158i | \(0.751324\pi\) | |||||||
\(674\) | 16.4915 | + | 8.27319i | 0.635230 | + | 0.318671i | ||||
\(675\) | 3.30863 | − | 27.8496i | 0.127349 | − | 1.07193i | ||||
\(676\) | −13.5280 | − | 18.1376i | −0.520308 | − | 0.697602i | ||||
\(677\) | −17.0196 | + | 9.82627i | −0.654116 | + | 0.377654i | −0.790031 | − | 0.613066i | \(-0.789936\pi\) |
0.135915 | + | 0.990720i | \(0.456602\pi\) | |||||||
\(678\) | 10.4121 | − | 6.85478i | 0.399875 | − | 0.263256i | ||||
\(679\) | −6.25470 | + | 14.6927i | −0.240033 | + | 0.563855i | ||||
\(680\) | −15.9794 | − | 40.1777i | −0.612784 | − | 1.54074i | ||||
\(681\) | 13.8480 | + | 23.9855i | 0.530658 | + | 0.919126i | ||||
\(682\) | −1.02980 | + | 0.0604376i | −0.0394332 | + | 0.00231428i | ||||
\(683\) | −5.62027 | − | 3.24486i | −0.215054 | − | 0.124161i | 0.388604 | − | 0.921405i | \(-0.372957\pi\) |
−0.603658 | + | 0.797244i | \(0.706291\pi\) | |||||||
\(684\) | 0.192717 | + | 1.63620i | 0.00736871 | + | 0.0625618i | ||||
\(685\) | −35.9873 | + | 7.39526i | −1.37500 | + | 0.282558i | ||||
\(686\) | −2.65580 | + | 26.0566i | −0.101399 | + | 0.994846i | ||||
\(687\) | 10.6564 | 0.406568 | ||||||||
\(688\) | 40.6442 | + | 12.0895i | 1.54954 | + | 0.460908i | ||||
\(689\) | 8.16886 | + | 4.71630i | 0.311209 | + | 0.179677i | ||||
\(690\) | −3.23673 | − | 12.1040i | −0.123220 | − | 0.460791i | ||||
\(691\) | −14.9183 | + | 8.61308i | −0.567518 | + | 0.327657i | −0.756158 | − | 0.654390i | \(-0.772926\pi\) |
0.188639 | + | 0.982046i | \(0.439592\pi\) | |||||||
\(692\) | 17.8464 | + | 7.67942i | 0.678419 | + | 0.291928i | ||||
\(693\) | −0.451810 | + | 1.06133i | −0.0171629 | + | 0.0403167i | ||||
\(694\) | 30.2816 | − | 19.9358i | 1.14947 | − | 0.756752i | ||||
\(695\) | 14.6274 | + | 16.4680i | 0.554847 | + | 0.624667i | ||||
\(696\) | 20.5253 | + | 7.43969i | 0.778011 | + | 0.282001i | ||||
\(697\) | −31.2750 | − | 18.0566i | −1.18463 | − | 0.683944i | ||||
\(698\) | −15.8391 | + | 31.5732i | −0.599519 | + | 1.19506i | ||||
\(699\) | − | 35.4153i | − | 1.33953i | ||||||
\(700\) | −3.17065 | − | 26.2668i | −0.119839 | − | 0.992793i | ||||
\(701\) | 20.0480i | 0.757201i | 0.925560 | + | 0.378600i | \(0.123595\pi\) | ||||
−0.925560 | + | 0.378600i | \(0.876405\pi\) | |||||||
\(702\) | −9.20782 | − | 4.61923i | −0.347527 | − | 0.174342i | ||||
\(703\) | 4.75176 | + | 2.74343i | 0.179216 | + | 0.103470i | ||||
\(704\) | 0.461553 | − | 2.65897i | 0.0173954 | − | 0.100214i | ||||
\(705\) | 17.4408 | + | 19.6355i | 0.656858 | + | 0.739514i | ||||
\(706\) | 7.44029 | + | 11.3015i | 0.280019 | + | 0.425337i | ||||
\(707\) | −2.40754 | − | 3.20182i | −0.0905447 | − | 0.120417i | ||||
\(708\) | −20.8003 | − | 8.95047i | −0.781721 | − | 0.336379i | ||||
\(709\) | −13.6342 | + | 7.87172i | −0.512044 | + | 0.295629i | −0.733673 | − | 0.679502i | \(-0.762196\pi\) |
0.221630 | + | 0.975131i | \(0.428862\pi\) | |||||||
\(710\) | 10.7994 | − | 2.88787i | 0.405295 | − | 0.108380i | ||||
\(711\) | 11.5860 | + | 6.68917i | 0.434508 | + | 0.250863i | ||||
\(712\) | −16.0920 | + | 13.5394i | −0.603075 | + | 0.507409i | ||||
\(713\) | −6.55617 | −0.245531 | ||||||||
\(714\) | 11.2685 | − | 31.4705i | 0.421715 | − | 1.17776i | ||||
\(715\) | −0.959546 | + | 0.197183i | −0.0358850 | + | 0.00737423i | ||||
\(716\) | −4.74501 | + | 0.558880i | −0.177329 | + | 0.0208863i | ||||
\(717\) | 21.1385 | + | 12.2043i | 0.789432 | + | 0.455779i | ||||
\(718\) | 1.63504 | + | 27.8597i | 0.0610193 | + | 1.03971i | ||||
\(719\) | 11.4051 | + | 19.7541i | 0.425337 | + | 0.736705i | 0.996452 | − | 0.0841652i | \(-0.0268223\pi\) |
−0.571115 | + | 0.820870i | \(0.693489\pi\) | |||||||
\(720\) | 6.62249 | − | 9.47458i | 0.246806 | − | 0.353097i | ||||
\(721\) | −2.43669 | − | 20.0171i | −0.0907471 | − | 0.745474i | ||||
\(722\) | −14.4594 | − | 21.9632i | −0.538122 | − | 0.817385i | ||||
\(723\) | −22.8257 | + | 13.1784i | −0.848898 | + | 0.490111i | ||||
\(724\) | −11.8038 | − | 15.8260i | −0.438687 | − | 0.588168i | ||||
\(725\) | 29.3281 | + | 3.48427i | 1.08922 | + | 0.129403i | ||||
\(726\) | −9.02094 | + | 17.9821i | −0.334799 | + | 0.667377i | ||||
\(727\) | − | 43.1926i | − | 1.60193i | −0.598714 | − | 0.800963i | \(-0.704321\pi\) | ||
0.598714 | − | 0.800963i | \(-0.295679\pi\) | |||||||
\(728\) | −9.46979 | − | 2.18336i | −0.350974 | − | 0.0809205i | ||||
\(729\) | 26.4511 | 0.979669 | ||||||||
\(730\) | 36.2595 | + | 9.73527i | 1.34202 | + | 0.360318i | ||||
\(731\) | 62.7655 | + | 36.2377i | 2.32147 | + | 1.34030i | ||||
\(732\) | 12.4130 | + | 16.6427i | 0.458797 | + | 0.615130i | ||||
\(733\) | 12.9526 | − | 7.47818i | 0.478415 | − | 0.276213i | −0.241341 | − | 0.970440i | \(-0.577587\pi\) |
0.719756 | + | 0.694227i | \(0.244254\pi\) | |||||||
\(734\) | −11.9861 | + | 7.89103i | −0.442416 | + | 0.291263i | ||||
\(735\) | 11.5871 | − | 16.8552i | 0.427398 | − | 0.621715i | ||||
\(736\) | 3.91844 | − | 16.6982i | 0.144435 | − | 0.615503i | ||||
\(737\) | 3.69211 | − | 2.13164i | 0.136001 | − | 0.0785200i | ||||
\(738\) | −0.565646 | − | 9.63810i | −0.0208217 | − | 0.354783i | ||||
\(739\) | −1.37228 | + | 2.37687i | −0.0504803 | + | 0.0874344i | −0.890161 | − | 0.455645i | \(-0.849409\pi\) |
0.839681 | + | 0.543080i | \(0.182742\pi\) | |||||||
\(740\) | −12.1072 | − | 36.5447i | −0.445068 | − | 1.34341i | ||||
\(741\) | −1.08165 | −0.0397353 | ||||||||
\(742\) | −26.7391 | + | 4.85897i | −0.981624 | + | 0.178378i | ||||
\(743\) | −20.5678 | −0.754559 | −0.377279 | − | 0.926099i | \(-0.623140\pi\) | ||||
−0.377279 | + | 0.926099i | \(0.623140\pi\) | |||||||
\(744\) | 5.14528 | + | 6.11536i | 0.188635 | + | 0.224200i | ||||
\(745\) | 10.2556 | − | 30.8517i | 0.375735 | − | 1.13032i | ||||
\(746\) | −26.2080 | + | 1.53811i | −0.959543 | + | 0.0563142i | ||||
\(747\) | −2.43503 | − | 4.21759i | −0.0890930 | − | 0.154314i | ||||
\(748\) | 1.82318 | − | 4.23695i | 0.0666622 | − | 0.154918i | ||||
\(749\) | 0.621200 | + | 5.10307i | 0.0226982 | + | 0.186462i | ||||
\(750\) | −7.67437 | + | 19.1834i | −0.280228 | + | 0.700479i | ||||
\(751\) | −31.6827 | + | 18.2920i | −1.15612 | + | 0.667486i | −0.950371 | − | 0.311119i | \(-0.899296\pi\) |
−0.205748 | + | 0.978605i | \(0.565963\pi\) | |||||||
\(752\) | 8.35317 | + | 34.9681i | 0.304609 | + | 1.27516i | ||||
\(753\) | −24.3672 | − | 14.0684i | −0.887991 | − | 0.512682i | ||||
\(754\) | 4.86445 | − | 9.69663i | 0.177153 | − | 0.353130i | ||||
\(755\) | −16.6427 | + | 3.42002i | −0.605691 | + | 0.124467i | ||||
\(756\) | 28.8413 | − | 7.00835i | 1.04895 | − | 0.254891i | ||||
\(757\) | −34.7609 | −1.26341 | −0.631704 | − | 0.775210i | \(-0.717644\pi\) | ||||
−0.631704 | + | 0.775210i | \(0.717644\pi\) | |||||||
\(758\) | −15.1794 | + | 30.2581i | −0.551340 | + | 1.09902i | ||||
\(759\) | 0.668291 | − | 1.15751i | 0.0242574 | − | 0.0420151i | ||||
\(760\) | 0.582712 | − | 3.98883i | 0.0211372 | − | 0.144690i | ||||
\(761\) | −7.09181 | + | 4.09446i | −0.257078 | + | 0.148424i | −0.623001 | − | 0.782221i | \(-0.714087\pi\) |
0.365923 | + | 0.930645i | \(0.380753\pi\) | |||||||
\(762\) | −4.56571 | − | 6.93512i | −0.165398 | − | 0.251233i | ||||
\(763\) | 3.24592 | − | 2.44070i | 0.117510 | − | 0.0883593i | ||||
\(764\) | −23.6579 | − | 10.1801i | −0.855914 | − | 0.368305i | ||||
\(765\) | 14.7716 | − | 13.1206i | 0.534069 | − | 0.474375i | ||||
\(766\) | −1.83010 | − | 31.1833i | −0.0661243 | − | 1.12670i | ||||
\(767\) | −5.62598 | + | 9.74449i | −0.203142 | + | 0.351853i | ||||
\(768\) | −18.6506 | + | 9.44975i | −0.672997 | + | 0.340988i | ||||
\(769\) | − | 29.2850i | − | 1.05604i | −0.849231 | − | 0.528021i | \(-0.822934\pi\) | ||
0.849231 | − | 0.528021i | \(-0.177066\pi\) | |||||||
\(770\) | 1.74107 | − | 2.22140i | 0.0627438 | − | 0.0800536i | ||||
\(771\) | 12.7973 | 0.460885 | ||||||||
\(772\) | −1.15850 | − | 9.83587i | −0.0416952 | − | 0.354001i | ||||
\(773\) | −14.5234 | − | 8.38511i | −0.522372 | − | 0.301591i | 0.215533 | − | 0.976497i | \(-0.430851\pi\) |
−0.737904 | + | 0.674905i | \(0.764185\pi\) | |||||||
\(774\) | 1.13519 | + | 19.3426i | 0.0408035 | + | 0.695255i | ||||
\(775\) | 8.65992 | + | 6.47260i | 0.311074 | + | 0.232503i | ||||
\(776\) | 16.8079 | − | 2.98675i | 0.603368 | − | 0.107218i | ||||
\(777\) | 11.6574 | − | 27.3841i | 0.418209 | − | 0.982400i | ||||
\(778\) | 3.67963 | − | 2.42247i | 0.131921 | − | 0.0868499i | ||||
\(779\) | −1.68343 | − | 2.91578i | −0.0603151 | − | 0.104469i | ||||
\(780\) | 5.66908 | + | 5.04566i | 0.202986 | + | 0.180664i | ||||
\(781\) | 1.03276 | + | 0.596262i | 0.0369549 | + | 0.0213359i | ||||
\(782\) | 13.1450 | − | 26.2028i | 0.470064 | − | 0.937010i | ||||
\(783\) | 33.1322i | 1.18405i | ||||||||
\(784\) | 24.8777 | − | 12.8491i | 0.888489 | − | 0.458898i | ||||
\(785\) | −39.6154 | + | 8.14083i | −1.41394 | + | 0.290559i | ||||
\(786\) | −8.12837 | − | 4.07771i | −0.289929 | − | 0.145447i | ||||
\(787\) | 0.115323 | − | 0.199746i | 0.00411083 | − | 0.00712017i | −0.863963 | − | 0.503556i | \(-0.832025\pi\) |
0.868074 | + | 0.496436i | \(0.165358\pi\) | |||||||
\(788\) | −7.85162 | − | 10.5270i | −0.279702 | − | 0.375010i | ||||
\(789\) | −11.4244 | − | 19.7877i | −0.406720 | − | 0.704460i | ||||
\(790\) | −23.1350 | − | 23.1583i | −0.823107 | − | 0.823935i | ||||
\(791\) | 16.4211 | + | 6.99047i | 0.583866 | + | 0.248552i | ||||
\(792\) | 1.21412 | − | 0.215749i | 0.0431419 | − | 0.00766631i | ||||
\(793\) | 8.93450 | − | 5.15834i | 0.317273 | − | 0.183178i | ||||
\(794\) | 2.02417 | + | 34.4899i | 0.0718349 | + | 1.22400i | ||||
\(795\) | 20.1398 | + | 6.69479i | 0.714287 | + | 0.237440i | ||||
\(796\) | −54.8941 | + | 6.46558i | −1.94567 | + | 0.229167i | ||||
\(797\) | 25.6496i | 0.908554i | 0.890860 | + | 0.454277i | \(0.150102\pi\) | ||||
−0.890860 | + | 0.454277i | \(0.849898\pi\) | |||||||
\(798\) | 2.37683 | − | 2.01564i | 0.0841387 | − | 0.0713529i | ||||
\(799\) | 61.4478i | 2.17387i | ||||||||
\(800\) | −21.6611 | + | 18.1878i | −0.765836 | + | 0.643036i | ||||
\(801\) | −8.32200 | − | 4.80471i | −0.294043 | − | 0.169766i | ||||
\(802\) | 35.4805 | − | 2.08230i | 1.25286 | − | 0.0735285i | ||||
\(803\) | 2.00252 | + | 3.46846i | 0.0706673 | + | 0.122399i | ||||
\(804\) | −30.3395 | − | 13.0553i | −1.06999 | − | 0.460423i | ||||
\(805\) | 11.8735 | − | 13.4455i | 0.418486 | − | 0.473893i | ||||
\(806\) | 3.31694 | − | 2.18370i | 0.116834 | − | 0.0769174i | ||||
\(807\) | 12.8885 | + | 22.3235i | 0.453696 | + | 0.785824i | ||||
\(808\) | −1.45937 | + | 4.02625i | −0.0513404 | + | 0.141643i | ||||
\(809\) | 13.0378 | − | 22.5821i | 0.458385 | − | 0.793946i | −0.540491 | − | 0.841350i | \(-0.681762\pi\) |
0.998876 | + | 0.0474041i | \(0.0150948\pi\) | |||||||
\(810\) | −10.5442 | − | 2.83101i | −0.370487 | − | 0.0994715i | ||||
\(811\) | 16.3763i | 0.575051i | 0.957773 | + | 0.287525i | \(0.0928325\pi\) | ||||
−0.957773 | + | 0.287525i | \(0.907167\pi\) | |||||||
\(812\) | 7.38040 | + | 30.3723i | 0.259001 | + | 1.06586i | ||||
\(813\) | 6.75171 | 0.236793 | ||||||||
\(814\) | 1.84152 | − | 3.67082i | 0.0645451 | − | 0.128662i | ||||
\(815\) | 5.21601 | − | 15.6913i | 0.182709 | − | 0.549641i | ||||
\(816\) | −34.7572 | + | 8.30278i | −1.21675 | + | 0.290656i | ||||
\(817\) | 3.37845 | + | 5.85165i | 0.118197 | + | 0.204723i | ||||
\(818\) | −13.1427 | + | 8.65242i | −0.459522 | + | 0.302525i | ||||
\(819\) | −0.536595 | − | 4.40805i | −0.0187501 | − | 0.154030i | ||||
\(820\) | −4.77841 | + | 23.1349i | −0.166869 | + | 0.807905i | ||||
\(821\) | −34.7768 | + | 20.0784i | −1.21372 | + | 0.700740i | −0.963567 | − | 0.267467i | \(-0.913813\pi\) |
−0.250150 | + | 0.968207i | \(0.580480\pi\) | |||||||
\(822\) | 1.77893 | + | 30.3114i | 0.0620475 | + | 1.05723i | ||||
\(823\) | −27.4665 | + | 47.5734i | −0.957422 | + | 1.65830i | −0.228697 | + | 0.973498i | \(0.573447\pi\) |
−0.728725 | + | 0.684806i | \(0.759887\pi\) | |||||||
\(824\) | −16.4952 | + | 13.8786i | −0.574639 | + | 0.483484i | ||||
\(825\) | −2.02549 | + | 0.869166i | −0.0705186 | + | 0.0302605i | ||||
\(826\) | −5.79617 | − | 31.8966i | −0.201675 | − | 1.10983i | ||||
\(827\) | 36.3142i | 1.26277i | 0.775471 | + | 0.631384i | \(0.217513\pi\) | ||||
−0.775471 | + | 0.631384i | \(0.782487\pi\) | |||||||
\(828\) | 7.78343 | − | 0.916754i | 0.270493 | − | 0.0318594i | ||||
\(829\) | 2.57148 | − | 4.45393i | 0.0893111 | − | 0.154691i | −0.817909 | − | 0.575348i | \(-0.804867\pi\) |
0.907220 | + | 0.420656i | \(0.138200\pi\) | |||||||
\(830\) | 3.07833 | + | 11.5116i | 0.106850 | + | 0.399575i | ||||
\(831\) | 9.80025 | + | 16.9745i | 0.339967 | + | 0.588840i | ||||
\(832\) | 3.57930 | + | 9.75318i | 0.124090 | + | 0.338131i | ||||
\(833\) | 46.4589 | − | 11.4811i | 1.60971 | − | 0.397796i | ||||
\(834\) | 15.2046 | − | 10.0099i | 0.526493 | − | 0.346615i | ||||
\(835\) | 27.8005 | + | 31.2988i | 0.962075 | + | 1.08314i | ||||
\(836\) | 0.344710 | − | 0.257103i | 0.0119220 | − | 0.00889208i | ||||
\(837\) | −6.06429 | + | 10.5037i | −0.209612 | + | 0.363059i | ||||
\(838\) | −5.12424 | − | 2.57064i | −0.177014 | − | 0.0888014i | ||||
\(839\) | 34.7304 | 1.19903 | 0.599514 | − | 0.800365i | \(-0.295361\pi\) | ||||
0.599514 | + | 0.800365i | \(0.295361\pi\) | |||||||
\(840\) | −21.8598 | − | 0.523105i | −0.754236 | − | 0.0180488i | ||||
\(841\) | −5.89106 | −0.203140 | ||||||||
\(842\) | 28.3433 | + | 14.2188i | 0.976774 | + | 0.490012i | ||||
\(843\) | 15.4920 | − | 26.8329i | 0.533573 | − | 0.924175i | ||||
\(844\) | 19.4562 | + | 26.0859i | 0.669710 | + | 0.897912i | ||||
\(845\) | −18.9140 | + | 16.7999i | −0.650661 | + | 0.577936i | ||||
\(846\) | −13.7211 | + | 9.03326i | −0.471743 | + | 0.310570i | ||||
\(847\) | −28.5911 | + | 3.48041i | −0.982403 | + | 0.119588i | ||||
\(848\) | 19.9752 | + | 21.0973i | 0.685950 | + | 0.724485i | ||||
\(849\) | 7.73576 | + | 13.3987i | 0.265491 | + | 0.459843i | ||||
\(850\) | −43.2317 | + | 21.6334i | −1.48284 | + | 0.742018i | ||||
\(851\) | 13.0505 | − | 22.6041i | 0.447365 | − | 0.774859i | ||||
\(852\) | −1.08071 | − | 9.17548i | −0.0370246 | − | 0.314347i | ||||
\(853\) | − | 1.93358i | − | 0.0662045i | −0.999452 | − | 0.0331023i | \(-0.989461\pi\) | ||
0.999452 | − | 0.0331023i | \(-0.0105387\pi\) | |||||||
\(854\) | −10.0203 | + | 27.9843i | −0.342886 | + | 0.957605i | ||||
\(855\) | 1.80428 | − | 0.370772i | 0.0617049 | − | 0.0126801i | ||||
\(856\) | 4.20523 | − | 3.53816i | 0.143732 | − | 0.120932i | ||||
\(857\) | 6.25417 | − | 10.8325i | 0.213638 | − | 0.370032i | −0.739212 | − | 0.673473i | \(-0.764802\pi\) |
0.952850 | + | 0.303440i | \(0.0981353\pi\) | |||||||
\(858\) | 0.0474325 | + | 0.808208i | 0.00161932 | + | 0.0275918i | ||||
\(859\) | 10.9495 | − | 6.32172i | 0.373594 | − | 0.215694i | −0.301434 | − | 0.953487i | \(-0.597465\pi\) |
0.675027 | + | 0.737793i | \(0.264132\pi\) | |||||||
\(860\) | 9.58974 | − | 46.4292i | 0.327007 | − | 1.58322i | ||||
\(861\) | −14.5967 | + | 10.9756i | −0.497453 | + | 0.374048i | ||||
\(862\) | −19.2066 | + | 12.6446i | −0.654181 | + | 0.430677i | ||||
\(863\) | −22.6283 | − | 39.1934i | −0.770276 | − | 1.33416i | −0.937411 | − | 0.348224i | \(-0.886785\pi\) |
0.167135 | − | 0.985934i | \(-0.446548\pi\) | |||||||
\(864\) | −23.1277 | − | 21.7231i | −0.786821 | − | 0.739035i | ||||
\(865\) | 6.85199 | − | 20.6128i | 0.232975 | − | 0.700855i | ||||
\(866\) | −1.60933 | + | 3.20799i | −0.0546872 | + | 0.109012i | ||||
\(867\) | −38.8624 | −1.31983 | ||||||||
\(868\) | −3.21939 | + | 10.9796i | −0.109273 | + | 0.372671i | ||||
\(869\) | − | 3.49199i | − | 0.118458i | ||||||
\(870\) | 6.32937 | − | 23.5741i | 0.214586 | − | 0.799236i | ||||
\(871\) | −8.20612 | + | 14.2134i | −0.278054 | + | 0.481603i | ||||
\(872\) | −4.08171 | − | 1.47947i | −0.138224 | − | 0.0501012i | ||||
\(873\) | 3.90021 | + | 6.75536i | 0.132002 | + | 0.228634i | ||||
\(874\) | 2.28277 | − | 1.50285i | 0.0772159 | − | 0.0508348i | ||||
\(875\) | −28.9576 | + | 6.03783i | −0.978947 | + | 0.204116i | ||||
\(876\) | 12.2644 | − | 28.5017i | 0.414377 | − | 0.962982i | ||||
\(877\) | 21.2278 | + | 36.7676i | 0.716810 | + | 1.24155i | 0.962257 | + | 0.272142i | \(0.0877320\pi\) |
−0.245447 | + | 0.969410i | \(0.578935\pi\) | |||||||
\(878\) | 32.1572 | − | 1.88726i | 1.08525 | − | 0.0636919i | ||||
\(879\) | 6.71276 | + | 3.87561i | 0.226416 | + | 0.130721i | ||||
\(880\) | −3.00601 | − | 0.260484i | −0.101332 | − | 0.00878092i | ||||
\(881\) | 12.5917i | 0.424225i | 0.977245 | + | 0.212113i | \(0.0680344\pi\) | ||||
−0.977245 | + | 0.212113i | \(0.931966\pi\) | |||||||
\(882\) | 9.39349 | + | 8.68637i | 0.316295 | + | 0.292485i | ||||
\(883\) | 9.44218i | 0.317755i | 0.987298 | + | 0.158877i | \(0.0507874\pi\) | ||||
−0.987298 | + | 0.158877i | \(0.949213\pi\) | |||||||
\(884\) | 2.07709 | + | 17.6350i | 0.0698602 | + | 0.593128i | ||||
\(885\) | −7.98609 | + | 24.0245i | −0.268450 | + | 0.807573i | ||||
\(886\) | 0.157762 | + | 2.68812i | 0.00530011 | + | 0.0903092i | ||||
\(887\) | −6.38100 | + | 3.68407i | −0.214253 | + | 0.123699i | −0.603286 | − | 0.797525i | \(-0.706142\pi\) |
0.389033 | + | 0.921224i | \(0.372809\pi\) | |||||||
\(888\) | −31.3263 | + | 5.56668i | −1.05124 | + | 0.186806i | ||||
\(889\) | 4.65609 | − | 10.9375i | 0.156160 | − | 0.366831i | ||||
\(890\) | 16.6174 | + | 16.6342i | 0.557018 | + | 0.557579i | ||||
\(891\) | −0.582330 | − | 1.00863i | −0.0195088 | − | 0.0337902i | ||||
\(892\) | −2.86079 | + | 2.13373i | −0.0957864 | + | 0.0714425i | ||||
\(893\) | −2.86440 | + | 4.96128i | −0.0958535 | + | 0.166023i | ||||
\(894\) | −24.0168 | − | 12.0484i | −0.803243 | − | 0.402958i | ||||
\(895\) | 1.07524 | + | 5.23241i | 0.0359414 | + | 0.174900i | ||||
\(896\) | −26.0402 | − | 14.7618i | −0.869941 | − | 0.493156i | ||||
\(897\) | 5.14540i | 0.171800i | ||||||||
\(898\) | 14.5156 | − | 28.9349i | 0.484391 | − | 0.965570i | ||||
\(899\) | −11.0612 | − | 6.38622i | −0.368913 | − | 0.212992i | ||||
\(900\) | −11.1861 | − | 6.47329i | −0.372868 | − | 0.215776i | ||||
\(901\) | 24.8285 | + | 43.0043i | 0.827158 | + | 1.43268i | ||||
\(902\) | −2.10485 | + | 1.38572i | −0.0700839 | + | 0.0461395i | ||||
\(903\) | 29.2939 | − | 22.0269i | 0.974839 | − | 0.733008i | ||||
\(904\) | −3.33810 | − | 18.7851i | −0.111023 | − | 0.624782i | ||||
\(905\) | −16.5034 | + | 14.6588i | −0.548590 | + | 0.487274i | ||||
\(906\) | 0.822688 | + | 14.0179i | 0.0273320 | + | 0.465712i | ||||
\(907\) | −29.0520 | − | 16.7732i | −0.964657 | − | 0.556945i | −0.0670537 | − | 0.997749i | \(-0.521360\pi\) |
−0.897603 | + | 0.440804i | \(0.854693\pi\) | |||||||
\(908\) | 42.0982 | − | 4.95845i | 1.39708 | − | 0.164552i | ||||
\(909\) | −1.95686 | −0.0649048 | ||||||||
\(910\) | −1.52874 | + | 10.7572i | −0.0506774 | + | 0.356599i | ||||
\(911\) | − | 49.7262i | − | 1.64750i | −0.566951 | − | 0.823751i | \(-0.691877\pi\) | ||
0.566951 | − | 0.823751i | \(-0.308123\pi\) | |||||||
\(912\) | −3.19333 | − | 0.949848i | −0.105742 | − | 0.0314526i | ||||
\(913\) | −0.635586 | + | 1.10087i | −0.0210348 | + | 0.0364334i | ||||
\(914\) | −3.06550 | − | 52.2333i | −0.101398 | − | 1.72772i | ||||
\(915\) | 17.3550 | − | 15.4152i | 0.573739 | − | 0.509611i | ||||
\(916\) | 6.44670 | − | 14.9817i | 0.213005 | − | 0.495008i | ||||
\(917\) | −1.57324 | − | 12.9240i | −0.0519530 | − | 0.426787i | ||||
\(918\) | −29.8208 | − | 45.2965i | −0.984232 | − | 1.49501i | ||||
\(919\) | −15.1509 | + | 8.74736i | −0.499781 | + | 0.288549i | −0.728623 | − | 0.684915i | \(-0.759839\pi\) |
0.228842 | + | 0.973464i | \(0.426506\pi\) | |||||||
\(920\) | −18.9748 | − | 2.77196i | −0.625582 | − | 0.0913889i | ||||
\(921\) | 5.77489 | − | 10.0024i | 0.190289 | − | 0.329590i | ||||
\(922\) | 4.46866 | − | 8.90768i | 0.147167 | − | 0.293359i | ||||
\(923\) | −4.59083 | −0.151109 | ||||||||
\(924\) | −1.61032 | − | 1.68758i | −0.0529755 | − | 0.0555171i | ||||
\(925\) | −39.5541 | + | 16.9732i | −1.30053 | + | 0.558076i | ||||
\(926\) | −23.3478 | + | 46.5407i | −0.767256 | + | 1.52942i | ||||
\(927\) | −8.53051 | − | 4.92509i | −0.280179 | − | 0.161761i | ||||
\(928\) | 22.8763 | − | 24.3555i | 0.750951 | − | 0.799507i | ||||
\(929\) | −14.5419 | + | 8.39576i | −0.477104 | + | 0.275456i | −0.719209 | − | 0.694794i | \(-0.755496\pi\) |
0.242105 | + | 0.970250i | \(0.422162\pi\) | |||||||
\(930\) | 6.32139 | − | 6.31503i | 0.207286 | − | 0.207078i | ||||
\(931\) | 4.28628 | + | 1.23871i | 0.140477 | + | 0.0405971i | ||||
\(932\) | −49.7897 | − | 21.4248i | −1.63092 | − | 0.701793i | ||||
\(933\) | 14.8168 | + | 25.6634i | 0.485079 | + | 0.840182i | ||||
\(934\) | 38.5461 | − | 2.26222i | 1.26127 | − | 0.0740220i | ||||
\(935\) | −4.89371 | − | 1.62674i | −0.160041 | − | 0.0532002i | ||||
\(936\) | −3.63250 | + | 3.05627i | −0.118732 | + | 0.0998975i | ||||
\(937\) | 43.8764 | 1.43338 | 0.716690 | − | 0.697392i | \(-0.245656\pi\) | ||||
0.716690 | + | 0.697392i | \(0.245656\pi\) | |||||||
\(938\) | −8.45436 | − | 46.5248i | −0.276045 | − | 1.51909i | ||||
\(939\) | −26.7283 | −0.872244 | ||||||||
\(940\) | 38.1561 | − | 12.6410i | 1.24451 | − | 0.412305i | ||||
\(941\) | −1.66745 | + | 2.88811i | −0.0543573 | + | 0.0941495i | −0.891924 | − | 0.452186i | \(-0.850644\pi\) |
0.837566 | + | 0.546336i | \(0.183978\pi\) | |||||||
\(942\) | 1.95828 | + | 33.3674i | 0.0638043 | + | 1.08717i | ||||
\(943\) | −13.8704 | + | 8.00807i | −0.451682 | + | 0.260779i | ||||
\(944\) | −25.1666 | + | 23.8280i | −0.819103 | + | 0.775536i | ||||
\(945\) | −10.5585 | − | 31.4593i | −0.343467 | − | 1.02337i | ||||
\(946\) | 4.22421 | − | 2.78099i | 0.137341 | − | 0.0904178i | ||||
\(947\) | 13.9434 | − | 8.05021i | 0.453099 | − | 0.261597i | −0.256039 | − | 0.966666i | \(-0.582418\pi\) |
0.709138 | + | 0.705070i | \(0.249084\pi\) | |||||||
\(948\) | −21.6860 | + | 16.1746i | −0.704329 | + | 0.525325i | ||||
\(949\) | −13.3524 | − | 7.70903i | −0.433438 | − | 0.250246i | ||||
\(950\) | −4.49897 | − | 0.268582i | −0.145966 | − | 0.00871395i | ||||
\(951\) | 2.72791 | 0.0884587 | ||||||||
\(952\) | −37.4268 | − | 34.8806i | −1.21301 | − | 1.13049i | ||||
\(953\) | − | 3.07172i | − | 0.0995026i | −0.998762 | − | 0.0497513i | \(-0.984157\pi\) | ||
0.998762 | − | 0.0497513i | \(-0.0158429\pi\) | |||||||
\(954\) | −5.95278 | + | 11.8661i | −0.192728 | + | 0.384179i | ||||
\(955\) | −9.08327 | + | 27.3251i | −0.293928 | + | 0.884219i | ||||
\(956\) | 29.9458 | − | 22.3351i | 0.968515 | − | 0.722369i | ||||
\(957\) | 2.25501 | − | 1.30193i | 0.0728943 | − | 0.0420855i | ||||
\(958\) | 13.2202 | + | 20.0809i | 0.427124 | + | 0.648783i | ||||
\(959\) | −34.7442 | + | 26.1251i | −1.12195 | + | 0.843625i | ||||
\(960\) | 12.3059 | + | 19.8745i | 0.397170 | + | 0.641447i | ||||
\(961\) | 13.1622 | + | 22.7976i | 0.424588 | + | 0.735408i | ||||
\(962\) | 0.926271 | + | 15.7828i | 0.0298642 | + | 0.508858i | ||||
\(963\) | 2.17473 | + | 1.25558i | 0.0700798 | + | 0.0404606i | ||||
\(964\) | 4.71869 | + | 40.0627i | 0.151979 | + | 1.29033i | ||||
\(965\) | −10.8462 | + | 2.22886i | −0.349152 | + | 0.0717494i | ||||
\(966\) | −9.58841 | − | 11.3066i | −0.308502 | − | 0.363783i | ||||
\(967\) | −19.1674 | −0.616383 | −0.308192 | − | 0.951324i | \(-0.599724\pi\) | ||||
−0.308192 | + | 0.951324i | \(0.599724\pi\) | |||||||
\(968\) | 19.8233 | + | 23.5608i | 0.637146 | + | 0.757272i | ||||
\(969\) | −4.93136 | − | 2.84712i | −0.158418 | − | 0.0914627i | ||||
\(970\) | −4.93059 | − | 18.4383i | −0.158312 | − | 0.592018i | ||||
\(971\) | −36.7871 | + | 21.2390i | −1.18055 | + | 0.681593i | −0.956143 | − | 0.292901i | \(-0.905379\pi\) |
−0.224412 | + | 0.974494i | \(0.572046\pi\) | |||||||
\(972\) | 9.73599 | − | 22.6257i | 0.312282 | − | 0.725721i | ||||
\(973\) | 23.9794 | + | 10.2081i | 0.768744 | + | 0.327255i | ||||
\(974\) | −30.8205 | − | 46.8151i | −0.987554 | − | 1.50005i | ||||
\(975\) | 5.07981 | − | 6.79646i | 0.162684 | − | 0.217661i | ||||
\(976\) | 30.9069 | − | 7.38303i | 0.989307 | − | 0.236325i | ||||
\(977\) | 4.83162 | + | 2.78954i | 0.154577 | + | 0.0892452i | 0.575293 | − | 0.817947i | \(-0.304888\pi\) |
−0.420716 | + | 0.907192i | \(0.638221\pi\) | |||||||
\(978\) | −12.2150 | − | 6.12784i | −0.390594 | − | 0.195947i | ||||
\(979\) | 2.50823i | 0.0801634i | ||||||||
\(980\) | −16.6867 | − | 26.4869i | −0.533038 | − | 0.846092i | ||||
\(981\) | − | 1.98381i | − | 0.0633382i | ||||||
\(982\) | 27.1570 | − | 54.1340i | 0.866616 | − | 1.72749i | ||||
\(983\) | 2.32060 | + | 1.33980i | 0.0740156 | + | 0.0427329i | 0.536551 | − | 0.843868i | \(-0.319727\pi\) |
−0.462535 | + | 0.886601i | \(0.653060\pi\) | |||||||
\(984\) | 18.3551 | + | 6.65306i | 0.585140 | + | 0.212092i | ||||
\(985\) | −10.9776 | + | 9.75064i | −0.349776 | + | 0.310681i | ||||
\(986\) | 47.7011 | − | 31.4038i | 1.51911 | − | 1.00010i | ||||
\(987\) | 28.5916 | + | 12.1715i | 0.910081 | + | 0.387422i | ||||
\(988\) | −0.654352 | + | 1.52067i | −0.0208177 | + | 0.0483789i | ||||
\(989\) | 27.8363 | − | 16.0713i | 0.885143 | − | 0.511038i | ||||
\(990\) | −0.356162 | − | 1.33190i | −0.0113196 | − | 0.0423304i | ||||
\(991\) | −0.289819 | − | 0.167327i | −0.00920640 | − | 0.00531532i | 0.495390 | − | 0.868671i | \(-0.335025\pi\) |
−0.504596 | + | 0.863356i | \(0.668359\pi\) | |||||||
\(992\) | 11.7102 | − | 3.53411i | 0.371798 | − | 0.112208i | ||||
\(993\) | −17.3020 | −0.549063 | ||||||||
\(994\) | 10.0879 | − | 8.55498i | 0.319970 | − | 0.271347i | ||||
\(995\) | 12.4393 | + | 60.5328i | 0.394352 | + | 1.91902i | ||||
\(996\) | 9.78060 | − | 1.15199i | 0.309910 | − | 0.0365021i | ||||
\(997\) | −26.3710 | − | 15.2253i | −0.835179 | − | 0.482191i | 0.0204437 | − | 0.999791i | \(-0.493492\pi\) |
−0.855623 | + | 0.517600i | \(0.826825\pi\) | |||||||
\(998\) | 1.02742 | − | 0.0602975i | 0.0325223 | − | 0.00190868i | ||||
\(999\) | −24.1427 | − | 41.8164i | −0.763842 | − | 1.32301i |
(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 | 280.2.ba.b.59.14 | yes | 80 | |
4.3 | odd | 2 | 1120.2.bq.b.1039.16 | 80 | |||
5.4 | even | 2 | inner | 280.2.ba.b.59.27 | yes | 80 | |
7.5 | odd | 6 | inner | 280.2.ba.b.19.40 | yes | 80 | |
8.3 | odd | 2 | inner | 280.2.ba.b.59.1 | yes | 80 | |
8.5 | even | 2 | 1120.2.bq.b.1039.15 | 80 | |||
20.19 | odd | 2 | 1120.2.bq.b.1039.26 | 80 | |||
28.19 | even | 6 | 1120.2.bq.b.719.25 | 80 | |||
35.19 | odd | 6 | inner | 280.2.ba.b.19.1 | ✓ | 80 | |
40.19 | odd | 2 | inner | 280.2.ba.b.59.40 | yes | 80 | |
40.29 | even | 2 | 1120.2.bq.b.1039.25 | 80 | |||
56.5 | odd | 6 | 1120.2.bq.b.719.26 | 80 | |||
56.19 | even | 6 | inner | 280.2.ba.b.19.27 | yes | 80 | |
140.19 | even | 6 | 1120.2.bq.b.719.15 | 80 | |||
280.19 | even | 6 | inner | 280.2.ba.b.19.14 | yes | 80 | |
280.229 | odd | 6 | 1120.2.bq.b.719.16 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.ba.b.19.1 | ✓ | 80 | 35.19 | odd | 6 | inner | |
280.2.ba.b.19.14 | yes | 80 | 280.19 | even | 6 | inner | |
280.2.ba.b.19.27 | yes | 80 | 56.19 | even | 6 | inner | |
280.2.ba.b.19.40 | yes | 80 | 7.5 | odd | 6 | inner | |
280.2.ba.b.59.1 | yes | 80 | 8.3 | odd | 2 | inner | |
280.2.ba.b.59.14 | yes | 80 | 1.1 | even | 1 | trivial | |
280.2.ba.b.59.27 | yes | 80 | 5.4 | even | 2 | inner | |
280.2.ba.b.59.40 | yes | 80 | 40.19 | odd | 2 | inner | |
1120.2.bq.b.719.15 | 80 | 140.19 | even | 6 | |||
1120.2.bq.b.719.16 | 80 | 280.229 | odd | 6 | |||
1120.2.bq.b.719.25 | 80 | 28.19 | even | 6 | |||
1120.2.bq.b.719.26 | 80 | 56.5 | odd | 6 | |||
1120.2.bq.b.1039.15 | 80 | 8.5 | even | 2 | |||
1120.2.bq.b.1039.16 | 80 | 4.3 | odd | 2 | |||
1120.2.bq.b.1039.25 | 80 | 40.29 | even | 2 | |||
1120.2.bq.b.1039.26 | 80 | 20.19 | odd | 2 |