Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [129,2,Mod(2,129)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(129, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("129.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 129 = 3 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 129.j (of order \(14\), degree \(6\), 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: | \(1.03007018607\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 113.8 | ||
Character | \(\chi\) | \(=\) | 129.113 |
Dual form | 129.2.j.a.8.8 |
$q$-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 \(\left(\mathbb{Z}/129\mathbb{Z}\right)^\times\).
\(n\) | \(44\) | \(46\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.178779 | + | 0.783281i | 0.126416 | + | 0.553863i | 0.997977 | + | 0.0635767i | \(0.0202508\pi\) |
−0.871561 | + | 0.490287i | \(0.836892\pi\) | |||||||
\(3\) | −1.60231 | − | 0.657721i | −0.925095 | − | 0.379735i | ||||
\(4\) | 1.22037 | − | 0.587699i | 0.610185 | − | 0.293850i | ||||
\(5\) | −2.53156 | − | 3.17448i | −1.13215 | − | 1.41967i | −0.893785 | − | 0.448495i | \(-0.851960\pi\) |
−0.238364 | − | 0.971176i | \(-0.576611\pi\) | |||||||
\(6\) | 0.228721 | − | 1.37265i | 0.0933748 | − | 0.560381i | ||||
\(7\) | − | 3.17594i | − | 1.20039i | −0.799852 | − | 0.600197i | \(-0.795089\pi\) | ||
0.799852 | − | 0.600197i | \(-0.204911\pi\) | |||||||
\(8\) | 1.68036 | + | 2.10711i | 0.594098 | + | 0.744976i | ||||
\(9\) | 2.13481 | + | 2.10775i | 0.711602 | + | 0.702582i | ||||
\(10\) | 2.03392 | − | 2.55046i | 0.643182 | − | 0.806525i | ||||
\(11\) | −0.516214 | + | 1.07193i | −0.155644 | + | 0.323199i | −0.964180 | − | 0.265248i | \(-0.914546\pi\) |
0.808536 | + | 0.588447i | \(0.200260\pi\) | |||||||
\(12\) | −2.34196 | + | 0.139015i | −0.676064 | + | 0.0401302i | ||||
\(13\) | 0.593805 | + | 0.744608i | 0.164692 | + | 0.206517i | 0.857329 | − | 0.514770i | \(-0.172123\pi\) |
−0.692637 | + | 0.721287i | \(0.743551\pi\) | |||||||
\(14\) | 2.48766 | − | 0.567791i | 0.664854 | − | 0.151749i | ||||
\(15\) | 1.96843 | + | 6.75157i | 0.508247 | + | 1.74325i | ||||
\(16\) | 0.338999 | − | 0.425091i | 0.0847498 | − | 0.106273i | ||||
\(17\) | 0.109436 | + | 0.0872725i | 0.0265422 | + | 0.0211667i | 0.636671 | − | 0.771136i | \(-0.280311\pi\) |
−0.610129 | + | 0.792302i | \(0.708882\pi\) | |||||||
\(18\) | −1.26930 | + | 2.04897i | −0.299177 | + | 0.482948i | ||||
\(19\) | −0.157259 | − | 0.326551i | −0.0360776 | − | 0.0749159i | 0.882151 | − | 0.470967i | \(-0.156095\pi\) |
−0.918229 | + | 0.396051i | \(0.870380\pi\) | |||||||
\(20\) | −4.95509 | − | 2.38624i | −1.10799 | − | 0.533580i | ||||
\(21\) | −2.08888 | + | 5.08885i | −0.455832 | + | 1.11048i | ||||
\(22\) | −0.931910 | − | 0.212702i | −0.198684 | − | 0.0453483i | ||||
\(23\) | 3.80396 | − | 7.89901i | 0.793181 | − | 1.64706i | 0.0311525 | − | 0.999515i | \(-0.490082\pi\) |
0.762029 | − | 0.647543i | \(-0.224203\pi\) | |||||||
\(24\) | −1.30658 | − | 4.48146i | −0.266704 | − | 0.914774i | ||||
\(25\) | −2.55591 | + | 11.1982i | −0.511181 | + | 2.23963i | ||||
\(26\) | −0.477077 | + | 0.598236i | −0.0935626 | + | 0.117324i | ||||
\(27\) | −2.03432 | − | 4.78138i | −0.391505 | − | 0.920176i | ||||
\(28\) | −1.86650 | − | 3.87583i | −0.352735 | − | 0.732462i | ||||
\(29\) | 1.25733 | + | 5.50874i | 0.233481 | + | 1.02295i | 0.946728 | + | 0.322034i | \(0.104367\pi\) |
−0.713247 | + | 0.700913i | \(0.752776\pi\) | |||||||
\(30\) | −4.93646 | + | 2.74887i | −0.901271 | + | 0.501873i | ||||
\(31\) | 1.51188 | + | 6.62398i | 0.271542 | + | 1.18970i | 0.908194 | + | 0.418550i | \(0.137462\pi\) |
−0.636652 | + | 0.771151i | \(0.719681\pi\) | |||||||
\(32\) | 5.24997 | + | 2.52825i | 0.928071 | + | 0.446936i | ||||
\(33\) | 1.53217 | − | 1.37804i | 0.266716 | − | 0.239886i | ||||
\(34\) | −0.0487940 | + | 0.101322i | −0.00836810 | + | 0.0173765i | ||||
\(35\) | −10.0820 | + | 8.04010i | −1.70416 | + | 1.35903i | ||||
\(36\) | 3.84398 | + | 1.31761i | 0.640663 | + | 0.219601i | ||||
\(37\) | − | 1.16757i | − | 0.191947i | −0.995384 | − | 0.0959733i | \(-0.969404\pi\) | ||
0.995384 | − | 0.0959733i | \(-0.0305963\pi\) | |||||||
\(38\) | 0.227667 | − | 0.181558i | 0.0369324 | − | 0.0294526i | ||||
\(39\) | −0.461717 | − | 1.58365i | −0.0739338 | − | 0.253587i | ||||
\(40\) | 2.43503 | − | 10.6686i | 0.385012 | − | 1.68685i | ||||
\(41\) | 6.60740 | − | 1.50809i | 1.03190 | − | 0.235525i | 0.327145 | − | 0.944974i | \(-0.393913\pi\) |
0.704757 | + | 0.709449i | \(0.251056\pi\) | |||||||
\(42\) | −4.35945 | − | 0.726404i | −0.672677 | − | 0.112087i | ||||
\(43\) | −5.93308 | − | 2.79260i | −0.904786 | − | 0.425867i | ||||
\(44\) | 1.61153i | 0.242947i | ||||||||
\(45\) | 1.28660 | − | 12.1128i | 0.191795 | − | 1.80567i | ||||
\(46\) | 6.86721 | + | 1.56740i | 1.01252 | + | 0.231100i | ||||
\(47\) | 0.952840 | + | 1.97859i | 0.138986 | + | 0.288607i | 0.958831 | − | 0.283979i | \(-0.0916545\pi\) |
−0.819845 | + | 0.572586i | \(0.805940\pi\) | |||||||
\(48\) | −0.822774 | + | 0.458162i | −0.118757 | + | 0.0661300i | ||||
\(49\) | −3.08661 | −0.440944 | ||||||||
\(50\) | −9.22825 | −1.30507 | ||||||||
\(51\) | −0.117950 | − | 0.211816i | −0.0165163 | − | 0.0296602i | ||||
\(52\) | 1.16227 | + | 0.559718i | 0.161177 | + | 0.0776190i | ||||
\(53\) | 6.04937 | + | 4.82421i | 0.830945 | + | 0.662657i | 0.943640 | − | 0.330973i | \(-0.107377\pi\) |
−0.112695 | + | 0.993630i | \(0.535948\pi\) | |||||||
\(54\) | 3.38147 | − | 2.44825i | 0.460159 | − | 0.333165i | ||||
\(55\) | 4.70965 | − | 1.07495i | 0.635048 | − | 0.144946i | ||||
\(56\) | 6.69206 | − | 5.33674i | 0.894264 | − | 0.713152i | ||||
\(57\) | 0.0371981 | + | 0.626669i | 0.00492701 | + | 0.0830043i | ||||
\(58\) | −4.09011 | + | 1.96969i | −0.537057 | + | 0.258633i | ||||
\(59\) | −5.49104 | − | 4.37895i | −0.714872 | − | 0.570091i | 0.197080 | − | 0.980387i | \(-0.436854\pi\) |
−0.911952 | + | 0.410296i | \(0.865425\pi\) | |||||||
\(60\) | 6.37011 | + | 7.08257i | 0.822378 | + | 0.914356i | ||||
\(61\) | 5.92730 | + | 1.35287i | 0.758913 | + | 0.173217i | 0.584431 | − | 0.811443i | \(-0.301318\pi\) |
0.174482 | + | 0.984660i | \(0.444175\pi\) | |||||||
\(62\) | −4.91814 | + | 2.36845i | −0.624605 | + | 0.300794i | ||||
\(63\) | 6.69408 | − | 6.78003i | 0.843375 | − | 0.854203i | ||||
\(64\) | −0.799773 | + | 3.50404i | −0.0999716 | + | 0.438004i | ||||
\(65\) | 0.860488 | − | 3.77004i | 0.106730 | − | 0.467616i | ||||
\(66\) | 1.35331 | + | 0.953752i | 0.166581 | + | 0.117399i | ||||
\(67\) | 4.43756 | − | 2.13702i | 0.542134 | − | 0.261078i | −0.142714 | − | 0.989764i | \(-0.545583\pi\) |
0.684848 | + | 0.728686i | \(0.259869\pi\) | |||||||
\(68\) | 0.184843 | + | 0.0421891i | 0.0224155 | + | 0.00511618i | ||||
\(69\) | −11.2905 | + | 10.1547i | −1.35921 | + | 1.22249i | ||||
\(70\) | −8.10010 | − | 6.45962i | −0.968147 | − | 0.772072i | ||||
\(71\) | 8.40760 | − | 4.04888i | 0.997798 | − | 0.480514i | 0.137607 | − | 0.990487i | \(-0.456059\pi\) |
0.860191 | + | 0.509973i | \(0.170344\pi\) | |||||||
\(72\) | −0.854002 | + | 8.04006i | −0.100645 | + | 0.947530i | ||||
\(73\) | −5.34444 | + | 4.26205i | −0.625519 | + | 0.498835i | −0.884188 | − | 0.467131i | \(-0.845288\pi\) |
0.258669 | + | 0.965966i | \(0.416716\pi\) | |||||||
\(74\) | 0.914532 | − | 0.208736i | 0.106312 | − | 0.0242651i | ||||
\(75\) | 11.4606 | − | 16.2619i | 1.32336 | − | 1.87776i | ||||
\(76\) | −0.383828 | − | 0.306092i | −0.0440281 | − | 0.0351112i | ||||
\(77\) | 3.40438 | + | 1.63947i | 0.387966 | + | 0.186834i | ||||
\(78\) | 1.15790 | − | 0.644777i | 0.131106 | − | 0.0730066i | ||||
\(79\) | −6.11283 | −0.687747 | −0.343873 | − | 0.939016i | \(-0.611739\pi\) | ||||
−0.343873 | + | 0.939016i | \(0.611739\pi\) | |||||||
\(80\) | −2.20764 | −0.246822 | ||||||||
\(81\) | 0.114804 | + | 8.99927i | 0.0127560 | + | 0.999919i | ||||
\(82\) | 2.36252 | + | 4.90583i | 0.260897 | + | 0.541759i | ||||
\(83\) | −12.3961 | − | 2.82932i | −1.36065 | − | 0.310559i | −0.520937 | − | 0.853595i | \(-0.674417\pi\) |
−0.839709 | + | 0.543036i | \(0.817275\pi\) | |||||||
\(84\) | 0.441504 | + | 7.43792i | 0.0481720 | + | 0.811543i | ||||
\(85\) | − | 0.568339i | − | 0.0616450i | ||||||
\(86\) | 1.12668 | − | 5.14652i | 0.121493 | − | 0.554964i | ||||
\(87\) | 1.60857 | − | 9.65369i | 0.172457 | − | 1.03498i | ||||
\(88\) | −3.12610 | + | 0.713512i | −0.333243 | + | 0.0760606i | ||||
\(89\) | −0.425398 | + | 1.86379i | −0.0450921 | + | 0.197561i | −0.992457 | − | 0.122595i | \(-0.960878\pi\) |
0.947365 | + | 0.320156i | \(0.103735\pi\) | |||||||
\(90\) | 9.71774 | − | 1.15774i | 1.02434 | − | 0.122037i | ||||
\(91\) | 2.36483 | − | 1.88589i | 0.247902 | − | 0.197695i | ||||
\(92\) | − | 11.8753i | − | 1.23809i | ||||||
\(93\) | 1.93422 | − | 11.6081i | 0.200570 | − | 1.20370i | ||||
\(94\) | −1.37945 | + | 1.10007i | −0.142279 | + | 0.113464i | ||||
\(95\) | −0.638520 | + | 1.32590i | −0.0655107 | + | 0.136034i | ||||
\(96\) | −6.74920 | − | 7.50406i | −0.688837 | − | 0.765879i | ||||
\(97\) | 2.31217 | + | 1.11348i | 0.234765 | + | 0.113057i | 0.547568 | − | 0.836761i | \(-0.315554\pi\) |
−0.312803 | + | 0.949818i | \(0.601268\pi\) | |||||||
\(98\) | −0.551821 | − | 2.41768i | −0.0557423 | − | 0.244223i | ||||
\(99\) | −3.36137 | + | 1.20031i | −0.337831 | + | 0.120636i | ||||
\(100\) | 3.46200 | + | 15.1680i | 0.346200 | + | 1.51680i | ||||
\(101\) | 1.71938 | + | 3.57032i | 0.171084 | + | 0.355260i | 0.968827 | − | 0.247738i | \(-0.0796871\pi\) |
−0.797743 | + | 0.602998i | \(0.793973\pi\) | |||||||
\(102\) | 0.144825 | − | 0.130256i | 0.0143398 | − | 0.0128973i | ||||
\(103\) | 8.04400 | − | 10.0869i | 0.792598 | − | 0.993887i | −0.207280 | − | 0.978282i | \(-0.566461\pi\) |
0.999878 | − | 0.0156053i | \(-0.00496754\pi\) | |||||||
\(104\) | −0.571162 | + | 2.50242i | −0.0560070 | + | 0.245383i | ||||
\(105\) | 21.4426 | − | 6.25163i | 2.09258 | − | 0.610097i | ||||
\(106\) | −2.69722 | + | 5.60082i | −0.261977 | + | 0.544000i | ||||
\(107\) | −10.9413 | − | 2.49728i | −1.05773 | − | 0.241421i | −0.341932 | − | 0.939725i | \(-0.611081\pi\) |
−0.715801 | + | 0.698304i | \(0.753938\pi\) | |||||||
\(108\) | −5.29263 | − | 4.63948i | −0.509284 | − | 0.446434i | ||||
\(109\) | −15.3693 | − | 7.40145i | −1.47211 | − | 0.708931i | −0.485836 | − | 0.874050i | \(-0.661485\pi\) |
−0.986274 | + | 0.165119i | \(0.947199\pi\) | |||||||
\(110\) | 1.68397 | + | 3.49680i | 0.160560 | + | 0.333407i | ||||
\(111\) | −0.767932 | + | 1.87080i | −0.0728889 | + | 0.177569i | ||||
\(112\) | −1.35007 | − | 1.07664i | −0.127569 | − | 0.101733i | ||||
\(113\) | −10.3069 | + | 12.9245i | −0.969596 | + | 1.21584i | 0.00682852 | + | 0.999977i | \(0.497826\pi\) |
−0.976425 | + | 0.215858i | \(0.930745\pi\) | |||||||
\(114\) | −0.484208 | + | 0.141172i | −0.0453502 | + | 0.0132219i | ||||
\(115\) | −34.7052 | + | 7.92124i | −3.23628 | + | 0.738660i | ||||
\(116\) | 4.77190 | + | 5.98377i | 0.443059 | + | 0.555579i | ||||
\(117\) | −0.301786 | + | 2.84118i | −0.0279001 | + | 0.262668i | ||||
\(118\) | 2.44827 | − | 5.08389i | 0.225382 | − | 0.468010i | ||||
\(119\) | 0.277172 | − | 0.347563i | 0.0254083 | − | 0.0318611i | ||||
\(120\) | −10.9186 | + | 15.4928i | −0.996729 | + | 1.41429i | ||||
\(121\) | 5.97583 | + | 7.49346i | 0.543258 | + | 0.681223i | ||||
\(122\) | 4.88460i | 0.442231i | ||||||||
\(123\) | −11.5790 | − | 1.92938i | −1.04404 | − | 0.173966i | ||||
\(124\) | 5.73796 | + | 7.19518i | 0.515284 | + | 0.646146i | ||||
\(125\) | 23.7277 | − | 11.4267i | 2.12227 | − | 1.02203i | ||||
\(126\) | 6.50743 | + | 4.03122i | 0.579728 | + | 0.359130i | ||||
\(127\) | 2.90055 | + | 12.7081i | 0.257382 | + | 1.12767i | 0.924038 | + | 0.382300i | \(0.124868\pi\) |
−0.666656 | + | 0.745365i | \(0.732275\pi\) | |||||||
\(128\) | 8.76642 | 0.774849 | ||||||||
\(129\) | 7.66989 | + | 8.37692i | 0.675296 | + | 0.737547i | ||||
\(130\) | 3.10684 | 0.272488 | ||||||||
\(131\) | 2.58570 | + | 11.3287i | 0.225913 | + | 0.989791i | 0.952934 | + | 0.303176i | \(0.0980471\pi\) |
−0.727021 | + | 0.686615i | \(0.759096\pi\) | |||||||
\(132\) | 1.05994 | − | 2.58217i | 0.0922556 | − | 0.224749i | ||||
\(133\) | −1.03711 | + | 0.499445i | −0.0899286 | + | 0.0433073i | ||||
\(134\) | 2.46722 | + | 3.09380i | 0.213136 | + | 0.267264i | ||||
\(135\) | −10.0284 | + | 18.5623i | −0.863105 | + | 1.59759i | ||||
\(136\) | 0.377244i | 0.0323484i | ||||||||
\(137\) | −2.84902 | − | 3.57256i | −0.243408 | − | 0.305224i | 0.645088 | − | 0.764108i | \(-0.276821\pi\) |
−0.888496 | + | 0.458884i | \(0.848249\pi\) | |||||||
\(138\) | −9.97251 | − | 7.02817i | −0.848916 | − | 0.598277i | ||||
\(139\) | −2.27559 | + | 2.85350i | −0.193013 | + | 0.242031i | −0.868916 | − | 0.494960i | \(-0.835183\pi\) |
0.675903 | + | 0.736991i | \(0.263754\pi\) | |||||||
\(140\) | −7.57857 | + | 15.7371i | −0.640506 | + | 1.33002i | ||||
\(141\) | −0.225386 | − | 3.79702i | −0.0189809 | − | 0.319767i | ||||
\(142\) | 4.67451 | + | 5.86166i | 0.392277 | + | 0.491899i | ||||
\(143\) | −1.10470 | + | 0.252140i | −0.0923794 | + | 0.0210850i | ||||
\(144\) | 1.61968 | − | 0.192964i | 0.134974 | − | 0.0160803i | ||||
\(145\) | 14.3044 | − | 17.9371i | 1.18791 | − | 1.48960i | ||||
\(146\) | −4.29385 | − | 3.42423i | −0.355362 | − | 0.283391i | ||||
\(147\) | 4.94571 | + | 2.03013i | 0.407916 | + | 0.167442i | ||||
\(148\) | −0.686178 | − | 1.42486i | −0.0564035 | − | 0.117123i | ||||
\(149\) | −8.08783 | − | 3.89489i | −0.662581 | − | 0.319082i | 0.0721967 | − | 0.997390i | \(-0.476999\pi\) |
−0.734777 | + | 0.678308i | \(0.762713\pi\) | |||||||
\(150\) | 14.7865 | + | 6.06961i | 1.20732 | + | 0.495582i | ||||
\(151\) | −3.48583 | − | 0.795617i | −0.283672 | − | 0.0647464i | 0.0783172 | − | 0.996928i | \(-0.475045\pi\) |
−0.361990 | + | 0.932182i | \(0.617902\pi\) | |||||||
\(152\) | 0.423827 | − | 0.880086i | 0.0343769 | − | 0.0713844i | ||||
\(153\) | 0.0496769 | + | 0.416974i | 0.00401614 | + | 0.0337103i | ||||
\(154\) | −0.675530 | + | 2.95969i | −0.0544358 | + | 0.238499i | ||||
\(155\) | 17.2003 | − | 21.5685i | 1.38156 | − | 1.73242i | ||||
\(156\) | −1.49418 | − | 1.66129i | −0.119630 | − | 0.133010i | ||||
\(157\) | 4.15038 | + | 8.61836i | 0.331237 | + | 0.687820i | 0.998367 | − | 0.0571207i | \(-0.0181920\pi\) |
−0.667131 | + | 0.744941i | \(0.732478\pi\) | |||||||
\(158\) | −1.09284 | − | 4.78806i | −0.0869420 | − | 0.380918i | ||||
\(159\) | −6.52000 | − | 11.7087i | −0.517069 | − | 0.928559i | ||||
\(160\) | −5.26474 | − | 23.0663i | −0.416214 | − | 1.82355i | ||||
\(161\) | −25.0868 | − | 12.0812i | −1.97712 | − | 0.952130i | ||||
\(162\) | −7.02843 | + | 1.69880i | −0.552206 | + | 0.133470i | ||||
\(163\) | 4.39342 | − | 9.12303i | 0.344119 | − | 0.714571i | −0.655039 | − | 0.755595i | \(-0.727348\pi\) |
0.999158 | + | 0.0410241i | \(0.0130621\pi\) | |||||||
\(164\) | 7.17716 | − | 5.72360i | 0.560442 | − | 0.446938i | ||||
\(165\) | −8.25334 | − | 1.37523i | −0.642521 | − | 0.107062i | ||||
\(166\) | − | 10.2154i | − | 0.792872i | ||||||
\(167\) | 2.37247 | − | 1.89198i | 0.183587 | − | 0.146406i | −0.527384 | − | 0.849627i | \(-0.676827\pi\) |
0.710971 | + | 0.703221i | \(0.248256\pi\) | |||||||
\(168\) | −14.2329 | + | 4.14962i | −1.09809 | + | 0.320150i | ||||
\(169\) | 2.69094 | − | 11.7898i | 0.206995 | − | 0.906905i | ||||
\(170\) | 0.445169 | − | 0.101607i | 0.0341429 | − | 0.00779290i | ||||
\(171\) | 0.352570 | − | 1.02859i | 0.0269617 | − | 0.0786579i | ||||
\(172\) | −8.88176 | + | 0.0788599i | −0.677228 | + | 0.00601301i | ||||
\(173\) | 12.6343i | 0.960572i | 0.877112 | + | 0.480286i | \(0.159467\pi\) | ||||
−0.877112 | + | 0.480286i | \(0.840533\pi\) | |||||||
\(174\) | 7.84913 | − | 0.465913i | 0.595041 | − | 0.0353208i | ||||
\(175\) | 35.5647 | + | 8.11741i | 2.68844 | + | 0.613619i | ||||
\(176\) | 0.280672 | + | 0.582821i | 0.0211564 | + | 0.0439318i | ||||
\(177\) | 5.91822 | + | 10.6280i | 0.444841 | + | 0.798851i | ||||
\(178\) | −1.53592 | −0.115122 | ||||||||
\(179\) | 11.9633 | 0.894179 | 0.447090 | − | 0.894489i | \(-0.352460\pi\) | ||||
0.447090 | + | 0.894489i | \(0.352460\pi\) | |||||||
\(180\) | −5.54855 | − | 15.5382i | −0.413565 | − | 1.15815i | ||||
\(181\) | 6.56258 | + | 3.16037i | 0.487793 | + | 0.234909i | 0.661580 | − | 0.749875i | \(-0.269886\pi\) |
−0.173787 | + | 0.984783i | \(0.555600\pi\) | |||||||
\(182\) | 1.89996 | + | 1.51517i | 0.140835 | + | 0.112312i | ||||
\(183\) | −8.60757 | − | 6.06622i | −0.636290 | − | 0.448428i | ||||
\(184\) | 23.0361 | − | 5.25785i | 1.69825 | − | 0.387614i | ||||
\(185\) | −3.70641 | + | 2.95577i | −0.272501 | + | 0.217312i | ||||
\(186\) | 9.43818 | − | 0.560237i | 0.692041 | − | 0.0410785i | ||||
\(187\) | −0.150042 | + | 0.0722566i | −0.0109722 | + | 0.00528392i | ||||
\(188\) | 2.32563 | + | 1.85463i | 0.169614 | + | 0.135263i | ||||
\(189\) | −15.1854 | + | 6.46088i | −1.10457 | + | 0.469960i | ||||
\(190\) | −1.15271 | − | 0.263098i | −0.0836261 | − | 0.0190871i | ||||
\(191\) | −7.98825 | + | 3.84694i | −0.578010 | + | 0.278355i | −0.699961 | − | 0.714181i | \(-0.746799\pi\) |
0.121951 | + | 0.992536i | \(0.461085\pi\) | |||||||
\(192\) | 3.58616 | − | 5.08853i | 0.258809 | − | 0.367233i | ||||
\(193\) | −0.202622 | + | 0.887747i | −0.0145851 | + | 0.0639014i | −0.981697 | − | 0.190451i | \(-0.939005\pi\) |
0.967112 | + | 0.254352i | \(0.0818622\pi\) | |||||||
\(194\) | −0.458803 | + | 2.01015i | −0.0329401 | + | 0.144320i | ||||
\(195\) | −3.85840 | + | 5.47482i | −0.276306 | + | 0.392060i | ||||
\(196\) | −3.76681 | + | 1.81400i | −0.269058 | + | 0.129571i | ||||
\(197\) | −12.8758 | − | 2.93881i | −0.917361 | − | 0.209382i | −0.262325 | − | 0.964980i | \(-0.584489\pi\) |
−0.655036 | + | 0.755598i | \(0.727346\pi\) | |||||||
\(198\) | −1.54112 | − | 2.41831i | −0.109523 | − | 0.171862i | ||||
\(199\) | −0.480775 | − | 0.383405i | −0.0340812 | − | 0.0271789i | 0.606301 | − | 0.795235i | \(-0.292653\pi\) |
−0.640382 | + | 0.768056i | \(0.721224\pi\) | |||||||
\(200\) | −27.8906 | + | 13.4314i | −1.97216 | + | 0.949744i | ||||
\(201\) | −8.51591 | + | 0.505492i | −0.600666 | + | 0.0356546i | ||||
\(202\) | −2.48918 | + | 1.98505i | −0.175138 | + | 0.139668i | ||||
\(203\) | 17.4954 | − | 3.99322i | 1.22794 | − | 0.280269i | ||||
\(204\) | −0.268427 | − | 0.189175i | −0.0187936 | − | 0.0132449i | ||||
\(205\) | −21.5145 | − | 17.1572i | −1.50264 | − | 1.19831i | ||||
\(206\) | 9.33894 | + | 4.49739i | 0.650675 | + | 0.313348i | ||||
\(207\) | 24.7698 | − | 8.84507i | 1.72162 | − | 0.614775i | ||||
\(208\) | 0.517825 | 0.0359047 | ||||||||
\(209\) | 0.431219 | 0.0298280 | ||||||||
\(210\) | 8.73027 | + | 15.6779i | 0.602446 | + | 1.08188i | ||||
\(211\) | −0.320283 | − | 0.665076i | −0.0220492 | − | 0.0457857i | 0.889653 | − | 0.456636i | \(-0.150946\pi\) |
−0.911703 | + | 0.410851i | \(0.865232\pi\) | |||||||
\(212\) | 10.2177 | + | 2.33211i | 0.701752 | + | 0.160170i | ||||
\(213\) | −16.1346 | + | 0.957728i | −1.10553 | + | 0.0656224i | ||||
\(214\) | − | 9.01656i | − | 0.616359i | ||||||
\(215\) | 6.15491 | + | 25.9041i | 0.419761 | + | 1.76664i | ||||
\(216\) | 6.65649 | − | 12.3210i | 0.452917 | − | 0.838337i | ||||
\(217\) | 21.0374 | − | 4.80164i | 1.42811 | − | 0.325957i | ||||
\(218\) | 3.04972 | − | 13.3617i | 0.206553 | − | 0.904968i | ||||
\(219\) | 11.3667 | − | 3.31398i | 0.768090 | − | 0.223938i | ||||
\(220\) | 5.11577 | − | 4.07969i | 0.344905 | − | 0.275052i | ||||
\(221\) | 0.133310i | 0.00896739i | ||||||||
\(222\) | −1.60266 | − | 0.267046i | −0.107563 | − | 0.0179230i | ||||
\(223\) | −15.8052 | + | 12.6042i | −1.05839 | + | 0.844040i | −0.988150 | − | 0.153490i | \(-0.950949\pi\) |
−0.0702421 | + | 0.997530i | \(0.522377\pi\) | |||||||
\(224\) | 8.02958 | − | 16.6736i | 0.536499 | − | 1.11405i | ||||
\(225\) | −29.0593 | + | 18.5187i | −1.93728 | + | 1.23458i | ||||
\(226\) | −11.9662 | − | 5.76261i | −0.795979 | − | 0.383323i | ||||
\(227\) | 4.25201 | + | 18.6293i | 0.282216 | + | 1.23647i | 0.894945 | + | 0.446176i | \(0.147214\pi\) |
−0.612729 | + | 0.790293i | \(0.709928\pi\) | |||||||
\(228\) | 0.413688 | + | 0.742907i | 0.0273972 | + | 0.0492002i | ||||
\(229\) | −3.73076 | − | 16.3455i | −0.246536 | − | 1.08014i | −0.934937 | − | 0.354814i | \(-0.884544\pi\) |
0.688401 | − | 0.725330i | \(-0.258313\pi\) | |||||||
\(230\) | −12.4091 | − | 25.7678i | −0.818233 | − | 1.69908i | ||||
\(231\) | −4.37658 | − | 4.86607i | −0.287958 | − | 0.320164i | ||||
\(232\) | −9.49474 | + | 11.9060i | −0.623360 | + | 0.781669i | ||||
\(233\) | 4.97440 | − | 21.7943i | 0.325884 | − | 1.42779i | −0.501014 | − | 0.865439i | \(-0.667040\pi\) |
0.826898 | − | 0.562352i | \(-0.190103\pi\) | |||||||
\(234\) | −2.27940 | + | 0.271560i | −0.149009 | + | 0.0177524i | ||||
\(235\) | 3.86883 | − | 8.03370i | 0.252374 | − | 0.524061i | ||||
\(236\) | −9.27461 | − | 2.11687i | −0.603725 | − | 0.137796i | ||||
\(237\) | 9.79466 | + | 4.02053i | 0.636231 | + | 0.261162i | ||||
\(238\) | 0.321792 | + | 0.154967i | 0.0208587 | + | 0.0100450i | ||||
\(239\) | 3.56593 | + | 7.40473i | 0.230661 | + | 0.478972i | 0.983887 | − | 0.178789i | \(-0.0572180\pi\) |
−0.753227 | + | 0.657761i | \(0.771504\pi\) | |||||||
\(240\) | 3.53733 | + | 1.45201i | 0.228334 | + | 0.0937269i | ||||
\(241\) | 9.03066 | + | 7.20171i | 0.581716 | + | 0.463903i | 0.869596 | − | 0.493763i | \(-0.164379\pi\) |
−0.287880 | + | 0.957666i | \(0.592950\pi\) | |||||||
\(242\) | −4.80113 | + | 6.02043i | −0.308628 | + | 0.387008i | ||||
\(243\) | 5.73505 | − | 14.4951i | 0.367904 | − | 0.929864i | ||||
\(244\) | 8.02858 | − | 1.83247i | 0.513977 | − | 0.117312i | ||||
\(245\) | 7.81395 | + | 9.79839i | 0.499215 | + | 0.625996i | ||||
\(246\) | −0.558834 | − | 9.41455i | −0.0356300 | − | 0.600250i | ||||
\(247\) | 0.149771 | − | 0.311004i | 0.00952973 | − | 0.0197887i | ||||
\(248\) | −11.4169 | + | 14.3164i | −0.724977 | + | 0.909092i | ||||
\(249\) | 18.0015 | + | 12.6866i | 1.14080 | + | 0.803982i | ||||
\(250\) | 13.1923 | + | 16.5426i | 0.834354 | + | 1.04625i | ||||
\(251\) | 11.8664i | 0.748999i | 0.927227 | + | 0.374499i | \(0.122185\pi\) | ||||
−0.927227 | + | 0.374499i | \(0.877815\pi\) | |||||||
\(252\) | 4.18464 | − | 12.2083i | 0.263608 | − | 0.769048i | ||||
\(253\) | 6.50352 | + | 8.15516i | 0.408873 | + | 0.512710i | ||||
\(254\) | −9.43549 | + | 4.54389i | −0.592035 | + | 0.285109i | ||||
\(255\) | −0.373808 | + | 0.910656i | −0.0234088 | + | 0.0570275i | ||||
\(256\) | 3.16680 | + | 13.8746i | 0.197925 | + | 0.867165i | ||||
\(257\) | 10.5406 | 0.657507 | 0.328754 | − | 0.944416i | \(-0.393371\pi\) | ||||
0.328754 | + | 0.944416i | \(0.393371\pi\) | |||||||
\(258\) | −5.19027 | + | 7.50529i | −0.323132 | + | 0.467259i | ||||
\(259\) | −3.70812 | −0.230411 | ||||||||
\(260\) | −1.16554 | − | 5.10656i | −0.0722836 | − | 0.316695i | ||||
\(261\) | −8.92687 | + | 14.4102i | −0.552559 | + | 0.891971i | ||||
\(262\) | −8.41127 | + | 4.05066i | −0.519650 | + | 0.250250i | ||||
\(263\) | 5.48797 | + | 6.88170i | 0.338403 | + | 0.424344i | 0.921693 | − | 0.387920i | \(-0.126806\pi\) |
−0.583290 | + | 0.812264i | \(0.698235\pi\) | |||||||
\(264\) | 5.47828 | + | 0.912831i | 0.337165 | + | 0.0561809i | ||||
\(265\) | − | 31.4164i | − | 1.92989i | ||||||
\(266\) | −0.576618 | − | 0.723056i | −0.0353547 | − | 0.0443334i | ||||
\(267\) | 1.90747 | − | 2.70658i | 0.116735 | − | 0.165640i | ||||
\(268\) | 4.15954 | − | 5.21590i | 0.254084 | − | 0.318612i | ||||
\(269\) | 1.83234 | − | 3.80490i | 0.111720 | − | 0.231989i | −0.837611 | − | 0.546267i | \(-0.816048\pi\) |
0.949331 | + | 0.314279i | \(0.101763\pi\) | |||||||
\(270\) | −16.3323 | − | 4.53650i | −0.993954 | − | 0.276083i | ||||
\(271\) | 3.08033 | + | 3.86261i | 0.187117 | + | 0.234637i | 0.866537 | − | 0.499112i | \(-0.166340\pi\) |
−0.679421 | + | 0.733749i | \(0.737769\pi\) | |||||||
\(272\) | 0.0741975 | − | 0.0169351i | 0.00449889 | − | 0.00102684i | ||||
\(273\) | −5.02958 | + | 1.46639i | −0.304404 | + | 0.0887497i | ||||
\(274\) | 2.28897 | − | 2.87028i | 0.138282 | − | 0.173400i | ||||
\(275\) | −10.6842 | − | 8.52039i | −0.644284 | − | 0.513799i | ||||
\(276\) | −7.81063 | + | 19.0279i | −0.470145 | + | 1.14535i | ||||
\(277\) | 11.7799 | + | 24.4612i | 0.707784 | + | 1.46973i | 0.875159 | + | 0.483836i | \(0.160757\pi\) |
−0.167375 | + | 0.985893i | \(0.553529\pi\) | |||||||
\(278\) | −2.64192 | − | 1.27228i | −0.158452 | − | 0.0763064i | ||||
\(279\) | −10.7341 | + | 17.3276i | −0.642634 | + | 1.03737i | ||||
\(280\) | −33.8828 | − | 7.73352i | −2.02488 | − | 0.462166i | ||||
\(281\) | −6.64615 | + | 13.8009i | −0.396476 | + | 0.823291i | 0.603194 | + | 0.797595i | \(0.293895\pi\) |
−0.999670 | + | 0.0256961i | \(0.991820\pi\) | |||||||
\(282\) | 2.93384 | − | 0.855368i | 0.174708 | − | 0.0509364i | ||||
\(283\) | −4.28936 | + | 18.7929i | −0.254976 | + | 1.11712i | 0.671570 | + | 0.740941i | \(0.265620\pi\) |
−0.926546 | + | 0.376182i | \(0.877237\pi\) | |||||||
\(284\) | 7.88085 | − | 9.88228i | 0.467643 | − | 0.586405i | ||||
\(285\) | 1.89518 | − | 1.70454i | 0.112261 | − | 0.100968i | ||||
\(286\) | −0.394993 | − | 0.820211i | −0.0233564 | − | 0.0485001i | ||||
\(287\) | −4.78962 | − | 20.9847i | −0.282722 | − | 1.23869i | ||||
\(288\) | 5.87875 | + | 16.4629i | 0.346409 | + | 0.970087i | ||||
\(289\) | −3.77850 | − | 16.5547i | −0.222264 | − | 0.973804i | ||||
\(290\) | 16.6071 | + | 7.99756i | 0.975203 | + | 0.469633i | ||||
\(291\) | −2.97246 | − | 3.30491i | −0.174248 | − | 0.193737i | ||||
\(292\) | −4.01739 | + | 8.34220i | −0.235100 | + | 0.488190i | ||||
\(293\) | 5.39776 | − | 4.30457i | 0.315341 | − | 0.251476i | −0.453009 | − | 0.891506i | \(-0.649650\pi\) |
0.768350 | + | 0.640030i | \(0.221078\pi\) | |||||||
\(294\) | −0.705972 | + | 4.23683i | −0.0411731 | + | 0.247097i | ||||
\(295\) | 28.5168i | 1.66031i | ||||||||
\(296\) | 2.46019 | − | 1.96194i | 0.142996 | − | 0.114035i | ||||
\(297\) | 6.17544 | + | 0.287567i | 0.358335 | + | 0.0166863i | ||||
\(298\) | 1.60486 | − | 7.03137i | 0.0929672 | − | 0.407316i | ||||
\(299\) | 8.14048 | − | 1.85801i | 0.470776 | − | 0.107452i | ||||
\(300\) | 4.42911 | − | 26.5809i | 0.255715 | − | 1.53465i | ||||
\(301\) | −8.86913 | + | 18.8431i | −0.511208 | + | 1.08610i | ||||
\(302\) | − | 2.87262i | − | 0.165301i | ||||||
\(303\) | −0.406703 | − | 6.85164i | −0.0233645 | − | 0.393616i | ||||
\(304\) | −0.192125 | − | 0.0438512i | −0.0110191 | − | 0.00251504i | ||||
\(305\) | −10.7107 | − | 22.2410i | −0.613292 | − | 1.27351i | ||||
\(306\) | −0.317726 | + | 0.113457i | −0.0181632 | + | 0.00648591i | ||||
\(307\) | 3.33442 | 0.190305 | 0.0951527 | − | 0.995463i | \(-0.469666\pi\) | ||||
0.0951527 | + | 0.995463i | \(0.469666\pi\) | |||||||
\(308\) | 5.11812 | 0.291632 | ||||||||
\(309\) | −19.5233 | + | 10.8716i | −1.11064 | + | 0.618463i | ||||
\(310\) | 19.9692 | + | 9.61666i | 1.13417 | + | 0.546190i | ||||
\(311\) | −10.7871 | − | 8.60241i | −0.611679 | − | 0.487798i | 0.267966 | − | 0.963428i | \(-0.413649\pi\) |
−0.879645 | + | 0.475631i | \(0.842220\pi\) | |||||||
\(312\) | 2.56108 | − | 3.63400i | 0.144992 | − | 0.205735i | ||||
\(313\) | −24.7910 | + | 5.65838i | −1.40127 | + | 0.319830i | −0.855369 | − | 0.518020i | \(-0.826669\pi\) |
−0.545900 | + | 0.837850i | \(0.683812\pi\) | |||||||
\(314\) | −6.00860 | + | 4.79170i | −0.339085 | + | 0.270411i | ||||
\(315\) | −38.4696 | − | 4.08617i | −2.16751 | − | 0.230230i | ||||
\(316\) | −7.45991 | + | 3.59251i | −0.419653 | + | 0.202094i | ||||
\(317\) | −12.6297 | − | 10.0719i | −0.709355 | − | 0.565692i | 0.200964 | − | 0.979599i | \(-0.435593\pi\) |
−0.910319 | + | 0.413907i | \(0.864164\pi\) | |||||||
\(318\) | 8.00556 | − | 7.20025i | 0.448929 | − | 0.403770i | ||||
\(319\) | −6.55403 | − | 1.49591i | −0.366955 | − | 0.0837551i | ||||
\(320\) | 13.1482 | − | 6.33182i | 0.735005 | − | 0.353960i | ||||
\(321\) | 15.8888 | + | 11.1977i | 0.886828 | + | 0.624996i | ||||
\(322\) | 4.97796 | − | 21.8099i | 0.277411 | − | 1.21542i | ||||
\(323\) | 0.0112891 | − | 0.0494609i | 0.000628143 | − | 0.00275208i | ||||
\(324\) | 5.42897 | + | 10.9150i | 0.301609 | + | 0.606387i | ||||
\(325\) | −9.85594 | + | 4.74637i | −0.546709 | + | 0.263281i | ||||
\(326\) | 7.93135 | + | 1.81028i | 0.439277 | + | 0.100262i | ||||
\(327\) | 19.7583 | + | 21.9681i | 1.09264 | + | 1.21484i | ||||
\(328\) | 14.2806 | + | 11.3884i | 0.788512 | + | 0.628817i | ||||
\(329\) | 6.28389 | − | 3.02616i | 0.346442 | − | 0.166838i | ||||
\(330\) | −0.398328 | − | 6.71054i | −0.0219272 | − | 0.369403i | ||||
\(331\) | 12.0012 | − | 9.57060i | 0.659643 | − | 0.526048i | −0.235473 | − | 0.971881i | \(-0.575664\pi\) |
0.895116 | + | 0.445833i | \(0.147092\pi\) | |||||||
\(332\) | −16.7906 | + | 3.83235i | −0.921504 | + | 0.210327i | ||||
\(333\) | 2.46093 | − | 2.49253i | 0.134858 | − | 0.136590i | ||||
\(334\) | 1.90610 | + | 1.52006i | 0.104297 | + | 0.0831741i | ||||
\(335\) | −18.0179 | − | 8.67695i | −0.984422 | − | 0.474073i | ||||
\(336\) | 1.45510 | + | 2.61308i | 0.0793821 | + | 0.142555i | ||||
\(337\) | −24.5061 | −1.33493 | −0.667467 | − | 0.744639i | \(-0.732621\pi\) | ||||
−0.667467 | + | 0.744639i | \(0.732621\pi\) | |||||||
\(338\) | 9.71578 | 0.528469 | ||||||||
\(339\) | 25.0157 | − | 13.9300i | 1.35866 | − | 0.756574i | ||||
\(340\) | −0.334012 | − | 0.693584i | −0.0181144 | − | 0.0376149i | ||||
\(341\) | −7.88089 | − | 1.79876i | −0.426774 | − | 0.0974084i | ||||
\(342\) | 0.868703 | + | 0.0922722i | 0.0469741 | + | 0.00498951i | ||||
\(343\) | − | 12.4287i | − | 0.671087i | ||||||
\(344\) | −4.08541 | − | 17.1942i | −0.220271 | − | 0.927051i | ||||
\(345\) | 60.8186 | + | 10.1340i | 3.27436 | + | 0.545599i | ||||
\(346\) | −9.89624 | + | 2.25875i | −0.532025 | + | 0.121431i | ||||
\(347\) | −1.12947 | + | 4.94853i | −0.0606331 | + | 0.265651i | −0.996154 | − | 0.0876206i | \(-0.972074\pi\) |
0.935521 | + | 0.353272i | \(0.114931\pi\) | |||||||
\(348\) | −3.71042 | − | 12.7264i | −0.198899 | − | 0.682209i | ||||
\(349\) | 1.24279 | − | 0.991090i | 0.0665249 | − | 0.0530518i | −0.589663 | − | 0.807650i | \(-0.700739\pi\) |
0.656188 | + | 0.754598i | \(0.272168\pi\) | |||||||
\(350\) | 29.3084i | 1.56660i | ||||||||
\(351\) | 2.35226 | − | 4.35397i | 0.125554 | − | 0.232398i | ||||
\(352\) | −5.42021 | + | 4.32247i | −0.288898 | + | 0.230389i | ||||
\(353\) | −8.89967 | + | 18.4804i | −0.473682 | + | 0.983611i | 0.518058 | + | 0.855345i | \(0.326655\pi\) |
−0.991740 | + | 0.128265i | \(0.959059\pi\) | |||||||
\(354\) | −7.26667 | + | 6.53570i | −0.386219 | + | 0.347368i | ||||
\(355\) | −34.1375 | − | 16.4397i | −1.81183 | − | 0.872531i | ||||
\(356\) | 0.576205 | + | 2.52452i | 0.0305388 | + | 0.133799i | ||||
\(357\) | −0.672716 | + | 0.374603i | −0.0356039 | + | 0.0198261i | ||||
\(358\) | 2.13879 | + | 9.37063i | 0.113038 | + | 0.495253i | ||||
\(359\) | 8.37325 | + | 17.3872i | 0.441923 | + | 0.917663i | 0.996344 | + | 0.0854266i | \(0.0272253\pi\) |
−0.554421 | + | 0.832236i | \(0.687060\pi\) | |||||||
\(360\) | 27.6850 | − | 17.6429i | 1.45913 | − | 0.929863i | ||||
\(361\) | 11.7644 | − | 14.7521i | 0.619179 | − | 0.776426i | ||||
\(362\) | −1.30221 | + | 5.70535i | −0.0684426 | + | 0.299867i | ||||
\(363\) | −4.64655 | − | 15.9373i | −0.243880 | − | 0.836491i | ||||
\(364\) | 1.77763 | − | 3.69129i | 0.0931733 | − | 0.193476i | ||||
\(365\) | 27.0596 | + | 6.17617i | 1.41636 | + | 0.323275i | ||||
\(366\) | 3.21271 | − | 7.82666i | 0.167931 | − | 0.409106i | ||||
\(367\) | 13.8076 | + | 6.64938i | 0.720750 | + | 0.347095i | 0.758039 | − | 0.652210i | \(-0.226158\pi\) |
−0.0372887 | + | 0.999305i | \(0.511872\pi\) | |||||||
\(368\) | −2.06826 | − | 4.29479i | −0.107816 | − | 0.223881i | ||||
\(369\) | 17.2842 | + | 10.7072i | 0.899779 | + | 0.557396i | ||||
\(370\) | −2.97782 | − | 2.37474i | −0.154810 | − | 0.123457i | ||||
\(371\) | 15.3214 | − | 19.2125i | 0.795449 | − | 0.997461i | ||||
\(372\) | −4.46159 | − | 15.3029i | −0.231323 | − | 0.793418i | ||||
\(373\) | 20.4553 | − | 4.66878i | 1.05913 | − | 0.241740i | 0.342736 | − | 0.939432i | \(-0.388646\pi\) |
0.716398 | + | 0.697691i | \(0.245789\pi\) | |||||||
\(374\) | −0.0834216 | − | 0.104607i | −0.00431363 | − | 0.00540912i | ||||
\(375\) | −45.5347 | + | 2.70287i | −2.35140 | + | 0.139576i | ||||
\(376\) | −2.56799 | + | 5.33249i | −0.132434 | + | 0.275002i | ||||
\(377\) | −3.35524 | + | 4.20734i | −0.172804 | + | 0.216689i | ||||
\(378\) | −7.77551 | − | 10.7393i | −0.399929 | − | 0.552372i | ||||
\(379\) | 4.84820 | + | 6.07946i | 0.249036 | + | 0.312281i | 0.890599 | − | 0.454789i | \(-0.150285\pi\) |
−0.641564 | + | 0.767070i | \(0.721714\pi\) | |||||||
\(380\) | 1.99335i | 0.102256i | ||||||||
\(381\) | 3.71082 | − | 22.2702i | 0.190111 | − | 1.14093i | ||||
\(382\) | −4.44137 | − | 5.56930i | −0.227240 | − | 0.284950i | ||||
\(383\) | −23.5908 | + | 11.3607i | −1.20543 | + | 0.580506i | −0.925220 | − | 0.379431i | \(-0.876120\pi\) |
−0.280214 | + | 0.959938i | \(0.590405\pi\) | |||||||
\(384\) | −14.0465 | − | 5.76585i | −0.716809 | − | 0.294237i | ||||
\(385\) | −3.41397 | − | 14.9576i | −0.173992 | − | 0.762308i | ||||
\(386\) | −0.731580 | −0.0372364 | ||||||||
\(387\) | −6.77988 | − | 18.4671i | −0.344641 | − | 0.938735i | ||||
\(388\) | 3.47610 | 0.176472 | ||||||||
\(389\) | 1.95759 | + | 8.57675i | 0.0992536 | + | 0.434858i | 1.00000 | 0.000512711i | \(0.000163201\pi\) | |
−0.900746 | + | 0.434346i | \(0.856980\pi\) | |||||||
\(390\) | −4.97813 | − | 2.04343i | −0.252077 | − | 0.103473i | ||||
\(391\) | 1.10566 | − | 0.532457i | 0.0559155 | − | 0.0269275i | ||||
\(392\) | −5.18663 | − | 6.50383i | −0.261964 | − | 0.328493i | ||||
\(393\) | 3.30801 | − | 19.8527i | 0.166867 | − | 1.00144i | ||||
\(394\) | − | 10.6107i | − | 0.534562i | ||||||
\(395\) | 15.4750 | + | 19.4051i | 0.778632 | + | 0.976374i | ||||
\(396\) | −3.39670 | + | 3.44030i | −0.170690 | + | 0.172882i | ||||
\(397\) | 3.26814 | − | 4.09811i | 0.164023 | − | 0.205678i | −0.693027 | − | 0.720912i | \(-0.743723\pi\) |
0.857050 | + | 0.515233i | \(0.172295\pi\) | |||||||
\(398\) | 0.214362 | − | 0.445127i | 0.0107450 | − | 0.0223122i | ||||
\(399\) | 1.99026 | − | 0.118139i | 0.0996379 | − | 0.00591436i | ||||
\(400\) | 3.89379 | + | 4.88266i | 0.194690 | + | 0.244133i | ||||
\(401\) | 12.4548 | − | 2.84272i | 0.621962 | − | 0.141959i | 0.100084 | − | 0.994979i | \(-0.468089\pi\) |
0.521878 | + | 0.853020i | \(0.325232\pi\) | |||||||
\(402\) | −1.91841 | − | 6.57998i | −0.0956814 | − | 0.328180i | ||||
\(403\) | −4.03450 | + | 5.05911i | −0.200973 | + | 0.252012i | ||||
\(404\) | 4.19655 | + | 3.34664i | 0.208786 | + | 0.166501i | ||||
\(405\) | 28.2774 | − | 23.1467i | 1.40511 | − | 1.15017i | ||||
\(406\) | 6.25563 | + | 12.9899i | 0.310462 | + | 0.644680i | ||||
\(407\) | 1.25155 | + | 0.602713i | 0.0620369 | + | 0.0298754i | ||||
\(408\) | 0.248121 | − | 0.604462i | 0.0122838 | − | 0.0299253i | ||||
\(409\) | −29.5751 | − | 6.75032i | −1.46239 | − | 0.333782i | −0.584014 | − | 0.811744i | \(-0.698519\pi\) |
−0.878381 | + | 0.477962i | \(0.841376\pi\) | |||||||
\(410\) | 9.59259 | − | 19.9192i | 0.473744 | − | 0.983740i | ||||
\(411\) | 2.21528 | + | 7.59822i | 0.109271 | + | 0.374792i | ||||
\(412\) | 3.88862 | − | 17.0371i | 0.191578 | − | 0.839360i | ||||
\(413\) | −13.9073 | + | 17.4392i | −0.684334 | + | 0.858128i | ||||
\(414\) | 11.3565 | + | 17.8204i | 0.558142 | + | 0.875827i | ||||
\(415\) | 22.3998 | + | 46.5137i | 1.09956 | + | 2.28327i | ||||
\(416\) | 1.23490 | + | 5.41045i | 0.0605460 | + | 0.265269i | ||||
\(417\) | 5.52301 | − | 3.07549i | 0.270463 | − | 0.150608i | ||||
\(418\) | 0.0770927 | + | 0.337765i | 0.00377073 | + | 0.0165206i | ||||
\(419\) | −5.42569 | − | 2.61287i | −0.265062 | − | 0.127647i | 0.296633 | − | 0.954992i | \(-0.404136\pi\) |
−0.561695 | + | 0.827344i | \(0.689851\pi\) | |||||||
\(420\) | 22.4938 | − | 20.2311i | 1.09759 | − | 0.987177i | ||||
\(421\) | 10.3277 | − | 21.4457i | 0.503340 | − | 1.04520i | −0.482248 | − | 0.876035i | \(-0.660180\pi\) |
0.985588 | − | 0.169162i | \(-0.0541062\pi\) | |||||||
\(422\) | 0.463681 | − | 0.369773i | 0.0225716 | − | 0.0180003i | ||||
\(423\) | −2.13624 | + | 6.23226i | −0.103868 | + | 0.303023i | ||||
\(424\) | 20.8531i | 1.01272i | ||||||||
\(425\) | −1.25700 | + | 1.00242i | −0.0609734 | + | 0.0486247i | ||||
\(426\) | −3.63470 | − | 12.4667i | −0.176102 | − | 0.604015i | ||||
\(427\) | 4.29663 | − | 18.8248i | 0.207928 | − | 0.910994i | ||||
\(428\) | −14.8201 | + | 3.38258i | −0.716355 | + | 0.163503i | ||||
\(429\) | 1.93591 | + | 0.322575i | 0.0934664 | + | 0.0155741i | ||||
\(430\) | −19.1898 | + | 9.45212i | −0.925415 | + | 0.455822i | ||||
\(431\) | − | 27.4545i | − | 1.32244i | −0.750194 | − | 0.661218i | \(-0.770040\pi\) | ||
0.750194 | − | 0.661218i | \(-0.229960\pi\) | |||||||
\(432\) | −2.72215 | − | 0.756110i | −0.130970 | − | 0.0363784i | ||||
\(433\) | 30.6353 | + | 6.99230i | 1.47224 | + | 0.336028i | 0.882018 | − | 0.471215i | \(-0.156185\pi\) |
0.590218 | + | 0.807244i | \(0.299042\pi\) | |||||||
\(434\) | 7.52207 | + | 15.6197i | 0.361071 | + | 0.749772i | ||||
\(435\) | −34.7177 | + | 19.3326i | −1.66458 | + | 0.926926i | ||||
\(436\) | −23.1060 | −1.10658 | ||||||||
\(437\) | −3.17764 | −0.152007 | ||||||||
\(438\) | 4.62790 | + | 8.31084i | 0.221130 | + | 0.397107i | ||||
\(439\) | 5.50138 | + | 2.64933i | 0.262567 | + | 0.126445i | 0.560536 | − | 0.828130i | \(-0.310595\pi\) |
−0.297969 | + | 0.954575i | \(0.596309\pi\) | |||||||
\(440\) | 10.1789 | + | 8.11744i | 0.485262 | + | 0.386984i | ||||
\(441\) | −6.58932 | − | 6.50580i | −0.313777 | − | 0.309800i | ||||
\(442\) | −0.104419 | + | 0.0238330i | −0.00496671 | + | 0.00113362i | ||||
\(443\) | 3.54107 | − | 2.82391i | 0.168241 | − | 0.134168i | −0.535750 | − | 0.844377i | \(-0.679971\pi\) |
0.703991 | + | 0.710209i | \(0.251400\pi\) | |||||||
\(444\) | 0.162309 | + | 2.73439i | 0.00770285 | + | 0.129768i | ||||
\(445\) | 6.99349 | − | 3.36789i | 0.331523 | − | 0.159653i | ||||
\(446\) | −12.6983 | − | 10.1265i | −0.601280 | − | 0.479505i | ||||
\(447\) | 10.3975 | + | 11.5604i | 0.491784 | + | 0.546786i | ||||
\(448\) | 11.1286 | + | 2.54003i | 0.525778 | + | 0.120005i | ||||
\(449\) | −15.2686 | + | 7.35295i | −0.720568 | + | 0.347007i | −0.757967 | − | 0.652293i | \(-0.773807\pi\) |
0.0373987 | + | 0.999300i | \(0.488093\pi\) | |||||||
\(450\) | −19.7005 | − | 19.4508i | −0.928692 | − | 0.916920i | ||||
\(451\) | −1.79426 | + | 7.86116i | −0.0844883 | + | 0.370167i | ||||
\(452\) | −4.98257 | + | 21.8301i | −0.234360 | + | 1.02680i | ||||
\(453\) | 5.06209 | + | 3.56753i | 0.237838 | + | 0.167617i | ||||
\(454\) | −13.8318 | + | 6.66104i | −0.649158 | + | 0.312618i | ||||
\(455\) | −11.9734 | − | 2.73286i | −0.561323 | − | 0.128118i | ||||
\(456\) | −1.25795 | + | 1.13141i | −0.0589091 | + | 0.0529833i | ||||
\(457\) | −17.1713 | − | 13.6937i | −0.803240 | − | 0.640563i | 0.133318 | − | 0.991073i | \(-0.457437\pi\) |
−0.936559 | + | 0.350510i | \(0.886008\pi\) | |||||||
\(458\) | 12.1362 | − | 5.84447i | 0.567086 | − | 0.273094i | ||||
\(459\) | 0.194654 | − | 0.700795i | 0.00908568 | − | 0.0327103i | ||||
\(460\) | −37.6979 | + | 30.0631i | −1.75768 | + | 1.40170i | ||||
\(461\) | 23.5163 | − | 5.36745i | 1.09527 | − | 0.249987i | 0.363535 | − | 0.931581i | \(-0.381570\pi\) |
0.731731 | + | 0.681594i | \(0.238713\pi\) | |||||||
\(462\) | 3.02906 | − | 4.29804i | 0.140925 | − | 0.199963i | ||||
\(463\) | 5.77693 | + | 4.60695i | 0.268477 | + | 0.214103i | 0.748469 | − | 0.663170i | \(-0.230789\pi\) |
−0.479992 | + | 0.877273i | \(0.659361\pi\) | |||||||
\(464\) | 2.76795 | + | 1.33298i | 0.128499 | + | 0.0618818i | ||||
\(465\) | −41.7462 | + | 23.2464i | −1.93593 | + | 1.07803i | ||||
\(466\) | 17.9604 | 0.831998 | ||||||||
\(467\) | 18.6616 | 0.863557 | 0.431778 | − | 0.901980i | \(-0.357886\pi\) | ||||
0.431778 | + | 0.901980i | \(0.357886\pi\) | |||||||
\(468\) | 1.30147 | + | 3.64466i | 0.0601605 | + | 0.168474i | ||||
\(469\) | −6.78704 | − | 14.0934i | −0.313396 | − | 0.650774i | ||||
\(470\) | 6.98431 | + | 1.59412i | 0.322162 | + | 0.0735314i | ||||
\(471\) | −0.981736 | − | 16.5391i | −0.0452360 | − | 0.762081i | ||||
\(472\) | − | 18.9285i | − | 0.871253i | ||||||
\(473\) | 6.05620 | − | 4.91826i | 0.278465 | − | 0.226142i | ||||
\(474\) | −1.39813 | + | 8.39076i | −0.0642183 | + | 0.385400i | ||||
\(475\) | 4.05871 | − | 0.926374i | 0.186226 | − | 0.0425050i | ||||
\(476\) | 0.133990 | − | 0.587050i | 0.00614143 | − | 0.0269074i | ||||
\(477\) | 2.74602 | + | 23.0493i | 0.125732 | + | 1.05536i | ||||
\(478\) | −5.16247 | + | 4.11693i | −0.236126 | + | 0.188304i | ||||
\(479\) | − | 29.8133i | − | 1.36221i | −0.732187 | − | 0.681103i | \(-0.761500\pi\) | ||
0.732187 | − | 0.681103i | \(-0.238500\pi\) | |||||||
\(480\) | −6.73545 | + | 40.4222i | −0.307430 | + | 1.84501i | ||||
\(481\) | 0.869378 | − | 0.693306i | 0.0396402 | − | 0.0316120i | ||||
\(482\) | −4.02648 | + | 8.36106i | −0.183401 | + | 0.380836i | ||||
\(483\) | 32.2509 | + | 35.8579i | 1.46746 | + | 1.63159i | ||||
\(484\) | 11.6966 | + | 5.63280i | 0.531665 | + | 0.256036i | ||||
\(485\) | −2.31868 | − | 10.1588i | −0.105286 | − | 0.461287i | ||||
\(486\) | 12.3791 | + | 1.90073i | 0.561526 | + | 0.0862190i | ||||
\(487\) | −2.72443 | − | 11.9365i | −0.123456 | − | 0.540894i | −0.998394 | − | 0.0566591i | \(-0.981955\pi\) |
0.874938 | − | 0.484235i | \(-0.160902\pi\) | |||||||
\(488\) | 7.10938 | + | 14.7628i | 0.321827 | + | 0.668280i | ||||
\(489\) | −13.0400 | + | 11.7283i | −0.589691 | + | 0.530372i | ||||
\(490\) | −6.27792 | + | 7.87226i | −0.283608 | + | 0.355633i | ||||
\(491\) | −7.20808 | + | 31.5806i | −0.325296 | + | 1.42521i | 0.502691 | + | 0.864466i | \(0.332343\pi\) |
−0.827987 | + | 0.560748i | \(0.810514\pi\) | |||||||
\(492\) | −15.2646 | + | 4.45042i | −0.688180 | + | 0.200640i | ||||
\(493\) | −0.343163 | + | 0.712586i | −0.0154553 | + | 0.0320933i | ||||
\(494\) | 0.270379 | + | 0.0617123i | 0.0121649 | + | 0.00277657i | ||||
\(495\) | 12.3199 | + | 7.63194i | 0.553738 | + | 0.343030i | ||||
\(496\) | 3.32832 | + | 1.60284i | 0.149446 | + | 0.0719694i | ||||
\(497\) | −12.8590 | − | 26.7020i | −0.576806 | − | 1.19775i | ||||
\(498\) | −6.71890 | + | 16.3683i | −0.301081 | + | 0.733482i | ||||
\(499\) | −14.2706 | − | 11.3804i | −0.638841 | − | 0.509459i | 0.249660 | − | 0.968334i | \(-0.419681\pi\) |
−0.888501 | + | 0.458875i | \(0.848253\pi\) | |||||||
\(500\) | 22.2411 | − | 27.8895i | 0.994654 | − | 1.24726i | ||||
\(501\) | −5.04583 | + | 1.47112i | −0.225431 | + | 0.0657248i | ||||
\(502\) | −9.29471 | + | 2.12146i | −0.414843 | + | 0.0946852i | ||||
\(503\) | −27.8541 | − | 34.9279i | −1.24195 | − | 1.55736i | −0.691108 | − | 0.722751i | \(-0.742877\pi\) |
−0.550844 | − | 0.834608i | \(-0.685694\pi\) | |||||||
\(504\) | 25.5348 | + | 2.71226i | 1.13741 | + | 0.120814i | ||||
\(505\) | 6.98120 | − | 14.4966i | 0.310660 | − | 0.645091i | ||||
\(506\) | −5.22509 | + | 6.55205i | −0.232284 | + | 0.291274i | ||||
\(507\) | −12.0661 | + | 17.1210i | −0.535874 | + | 0.760370i | ||||
\(508\) | 11.0083 | + | 13.8040i | 0.488415 | + | 0.612453i | ||||
\(509\) | − | 30.1551i | − | 1.33660i | −0.743892 | − | 0.668300i | \(-0.767022\pi\) | ||
0.743892 | − | 0.668300i | \(-0.232978\pi\) | |||||||
\(510\) | −0.780129 | − | 0.129991i | −0.0345447 | − | 0.00575609i | ||||
\(511\) | 13.5360 | + | 16.9736i | 0.598798 | + | 0.750869i | ||||
\(512\) | 5.49495 | − | 2.64623i | 0.242845 | − | 0.116948i | ||||
\(513\) | −1.24145 | + | 1.41622i | −0.0548113 | + | 0.0625277i | ||||
\(514\) | 1.88444 | + | 8.25629i | 0.0831192 | + | 0.364169i | ||||
\(515\) | −52.3844 | −2.30833 | ||||||||
\(516\) | 14.2832 | + | 5.71536i | 0.628784 | + | 0.251605i | ||||
\(517\) | −2.61278 | −0.114910 | ||||||||
\(518\) | −0.662933 | − | 2.90450i | −0.0291276 | − | 0.127616i | ||||
\(519\) | 8.30987 | − | 20.2442i | 0.364763 | − | 0.888620i | ||||
\(520\) | 9.38983 | − | 4.52190i | 0.411771 | − | 0.198299i | ||||
\(521\) | −17.3711 | − | 21.7827i | −0.761043 | − | 0.954317i | 0.238817 | − | 0.971065i | \(-0.423240\pi\) |
−0.999860 | + | 0.0167473i | \(0.994669\pi\) | |||||||
\(522\) | −12.8832 | − | 4.41600i | −0.563882 | − | 0.193283i | ||||
\(523\) | 1.81842i | 0.0795139i | 0.999209 | + | 0.0397570i | \(0.0126584\pi\) | ||||
−0.999209 | + | 0.0397570i | \(0.987342\pi\) | |||||||
\(524\) | 9.81337 | + | 12.3056i | 0.428699 | + | 0.537572i | ||||
\(525\) | −51.6468 | − | 36.3983i | −2.25405 | − | 1.58855i | ||||
\(526\) | −4.40917 | + | 5.52893i | −0.192249 | + | 0.241073i | ||||
\(527\) | −0.412636 | + | 0.856848i | −0.0179747 | + | 0.0373249i | ||||
\(528\) | −0.0663904 | − | 1.11846i | −0.00288927 | − | 0.0486749i | ||||
\(529\) | −33.5840 | − | 42.1130i | −1.46017 | − | 1.83100i | ||||
\(530\) | 24.6079 | − | 5.61659i | 1.06890 | − | 0.243969i | ||||
\(531\) | −2.49257 | − | 20.9219i | −0.108168 | − | 0.907935i | ||||
\(532\) | −0.972132 | + | 1.21901i | −0.0421473 | + | 0.0528510i | ||||
\(533\) | 5.04644 | + | 4.02440i | 0.218586 | + | 0.174316i | ||||
\(534\) | 2.46103 | + | 1.01021i | 0.106499 | + | 0.0437160i | ||||
\(535\) | 19.7710 | + | 41.0549i | 0.854775 | + | 1.77496i | ||||
\(536\) | 11.9596 | + | 5.75946i | 0.516578 | + | 0.248771i | ||||
\(537\) | −19.1689 | − | 7.86851i | −0.827201 | − | 0.339551i | ||||
\(538\) | 3.30789 | + | 0.755004i | 0.142613 | + | 0.0325505i | ||||
\(539\) | 1.59335 | − | 3.30863i | 0.0686305 | − | 0.142513i | ||||
\(540\) | −1.32930 | + | 28.5465i | −0.0572041 | + | 1.22845i | ||||
\(541\) | 7.06940 | − | 30.9731i | 0.303937 | − | 1.33164i | −0.560190 | − | 0.828364i | \(-0.689272\pi\) |
0.864128 | − | 0.503272i | \(-0.167871\pi\) | |||||||
\(542\) | −2.47481 | + | 3.10331i | −0.106302 | + | 0.133299i | ||||
\(543\) | −8.43666 | − | 9.38025i | −0.362052 | − | 0.402545i | ||||
\(544\) | 0.353890 | + | 0.734859i | 0.0151729 | + | 0.0315068i | ||||
\(545\) | 15.4125 | + | 67.5267i | 0.660200 | + | 2.89253i | ||||
\(546\) | −2.04778 | − | 3.67742i | −0.0876367 | − | 0.157379i | ||||
\(547\) | −2.62727 | − | 11.5108i | −0.112334 | − | 0.492167i | −0.999527 | − | 0.0307676i | \(-0.990205\pi\) |
0.887193 | − | 0.461399i | \(-0.152652\pi\) | |||||||
\(548\) | −5.57645 | − | 2.68548i | −0.238214 | − | 0.114718i | ||||
\(549\) | 9.80214 | + | 15.3814i | 0.418345 | + | 0.656460i | ||||
\(550\) | 4.76375 | − | 9.89203i | 0.203127 | − | 0.421797i | ||||
\(551\) | 1.60116 | − | 1.27688i | 0.0682116 | − | 0.0543970i | ||||
\(552\) | −40.3693 | − | 6.72663i | −1.71823 | − | 0.286304i | ||||
\(553\) | 19.4140i | 0.825567i | ||||||||
\(554\) | −17.0540 | + | 13.6001i | −0.724554 | + | 0.577813i | ||||
\(555\) | 7.88290 | − | 2.29828i | 0.334611 | − | 0.0975564i | ||||
\(556\) | −1.10006 | + | 4.81969i | −0.0466531 | + | 0.204400i | ||||
\(557\) | 10.7005 | − | 2.44233i | 0.453396 | − | 0.103485i | 0.0102766 | − | 0.999947i | \(-0.496729\pi\) |
0.443120 | + | 0.896462i | \(0.353872\pi\) | |||||||
\(558\) | −15.4914 | − | 5.31001i | −0.655803 | − | 0.224791i | ||||
\(559\) | −1.44370 | − | 6.07607i | −0.0610619 | − | 0.256990i | ||||
\(560\) | 7.01134i | 0.296283i | ||||||||
\(561\) | 0.287939 | − | 0.0170916i | 0.0121568 | − | 0.000721610i | ||||
\(562\) | −11.9981 | − | 2.73850i | −0.506111 | − | 0.115517i | ||||
\(563\) | −4.14050 | − | 8.59785i | −0.174501 | − | 0.362356i | 0.795313 | − | 0.606198i | \(-0.207306\pi\) |
−0.969815 | + | 0.243842i | \(0.921592\pi\) | |||||||
\(564\) | −2.50656 | − | 4.50132i | −0.105545 | − | 0.189540i | ||||
\(565\) | 67.1213 | 2.82381 | ||||||||
\(566\) | −15.4870 | −0.650966 | ||||||||
\(567\) | 28.5812 | − | 0.364610i | 1.20030 | − | 0.0153122i | ||||
\(568\) | 22.6593 | + | 10.9121i | 0.950762 | + | 0.457863i | ||||
\(569\) | 7.39020 | + | 5.89349i | 0.309813 | + | 0.247068i | 0.766036 | − | 0.642798i | \(-0.222226\pi\) |
−0.456223 | + | 0.889866i | \(0.650798\pi\) | |||||||
\(570\) | 1.67395 | + | 1.17972i | 0.0701140 | + | 0.0494131i | ||||
\(571\) | 1.34224 | − | 0.306357i | 0.0561709 | − | 0.0128206i | −0.194343 | − | 0.980934i | \(-0.562258\pi\) |
0.250514 | + | 0.968113i | \(0.419400\pi\) | |||||||
\(572\) | −1.19996 | + | 0.956933i | −0.0501727 | + | 0.0400114i | ||||
\(573\) | 15.3299 | − | 0.909959i | 0.640415 | − | 0.0380141i | ||||
\(574\) | 15.5806 | − | 7.50324i | 0.650323 | − | 0.313179i | ||||
\(575\) | 78.7318 | + | 62.7865i | 3.28334 | + | 2.61838i | ||||
\(576\) | −9.09298 | + | 5.79472i | −0.378874 | + | 0.241447i | ||||
\(577\) | −36.3279 | − | 8.29160i | −1.51235 | − | 0.345184i | −0.615720 | − | 0.787965i | \(-0.711135\pi\) |
−0.896630 | + | 0.442781i | \(0.853992\pi\) | |||||||
\(578\) | 12.2914 | − | 5.91925i | 0.511257 | − | 0.246208i | ||||
\(579\) | 0.908554 | − | 1.28918i | 0.0377582 | − | 0.0535764i | ||||
\(580\) | 6.91500 | − | 30.2966i | 0.287130 | − | 1.25800i | ||||
\(581\) | −8.98577 | + | 39.3692i | −0.372793 | + | 1.63331i | ||||
\(582\) | 2.05726 | − | 2.91912i | 0.0852761 | − | 0.121001i | ||||
\(583\) | −8.29398 | + | 3.99417i | −0.343502 | + | 0.165422i | ||||
\(584\) | −17.9612 | − | 4.09953i | −0.743240 | − | 0.169640i | ||||
\(585\) | 9.78327 | − | 6.23462i | 0.404489 | − | 0.257770i | ||||
\(586\) | 4.33670 | + | 3.45840i | 0.179147 | + | 0.142865i | ||||
\(587\) | −1.73828 | + | 0.837112i | −0.0717465 | + | 0.0345513i | −0.469413 | − | 0.882979i | \(-0.655534\pi\) |
0.397666 | + | 0.917530i | \(0.369820\pi\) | |||||||
\(588\) | 7.22871 | − | 0.429085i | 0.298107 | − | 0.0176952i | ||||
\(589\) | 1.92531 | − | 1.53538i | 0.0793311 | − | 0.0632644i | ||||
\(590\) | −22.3367 | + | 5.09820i | −0.919586 | + | 0.209889i | ||||
\(591\) | 18.6981 | + | 13.1776i | 0.769137 | + | 0.542052i | ||||
\(592\) | −0.496322 | − | 0.395804i | −0.0203987 | − | 0.0162674i | ||||
\(593\) | −27.3627 | − | 13.1772i | −1.12365 | − | 0.541122i | −0.222633 | − | 0.974902i | \(-0.571465\pi\) |
−0.901019 | + | 0.433780i | \(0.857180\pi\) | |||||||
\(594\) | 0.878791 | + | 4.88851i | 0.0360573 | + | 0.200578i | ||||
\(595\) | −1.80501 | −0.0739983 | ||||||||
\(596\) | −12.1592 | −0.498059 | ||||||||
\(597\) | 0.518178 | + | 0.930551i | 0.0212076 | + | 0.0380849i | ||||
\(598\) | 2.91069 | + | 6.04411i | 0.119027 | + | 0.247162i | ||||
\(599\) | 19.4920 | + | 4.44892i | 0.796421 | + | 0.181778i | 0.601323 | − | 0.799006i | \(-0.294640\pi\) |
0.195098 | + | 0.980784i | \(0.437497\pi\) | |||||||
\(600\) | 53.5236 | − | 3.17708i | 2.18509 | − | 0.129704i | ||||
\(601\) | 28.5727i | 1.16551i | 0.812649 | + | 0.582753i | \(0.198025\pi\) | ||||
−0.812649 | + | 0.582753i | \(0.801975\pi\) | |||||||
\(602\) | −16.3451 | − | 3.57828i | −0.666175 | − | 0.145840i | ||||
\(603\) | 13.9776 | + | 4.79113i | 0.569213 | + | 0.195110i | ||||
\(604\) | −4.72158 | + | 1.07767i | −0.192118 | + | 0.0438498i | ||||
\(605\) | 8.65963 | − | 37.9403i | 0.352064 | − | 1.54249i | ||||
\(606\) | 5.29405 | − | 1.54349i | 0.215056 | − | 0.0627000i | ||||
\(607\) | 3.95722 | − | 3.15578i | 0.160619 | − | 0.128089i | −0.539882 | − | 0.841740i | \(-0.681531\pi\) |
0.700501 | + | 0.713651i | \(0.252960\pi\) | |||||||
\(608\) | − | 2.11197i | − | 0.0856517i | ||||||
\(609\) | −30.6596 | − | 5.10873i | −1.24239 | − | 0.207016i | ||||
\(610\) | 15.5061 | − | 12.3657i | 0.627823 | − | 0.500672i | ||||
\(611\) | −0.907474 | + | 1.88439i | −0.0367125 | + | 0.0762342i | ||||
\(612\) | 0.305679 | + | 0.479667i | 0.0123564 | + | 0.0193894i | ||||
\(613\) | 20.8682 | + | 10.0496i | 0.842857 | + | 0.405898i | 0.804921 | − | 0.593382i | \(-0.202208\pi\) |
0.0379356 | + | 0.999280i | \(0.487922\pi\) | |||||||
\(614\) | 0.596124 | + | 2.61179i | 0.0240576 | + | 0.105403i | ||||
\(615\) | 23.1882 | + | 41.6417i | 0.935040 | + | 1.67916i | ||||
\(616\) | 2.26607 | + | 9.92831i | 0.0913027 | + | 0.400023i | ||||
\(617\) | 16.7533 | + | 34.7886i | 0.674462 | + | 1.40054i | 0.904126 | + | 0.427265i | \(0.140523\pi\) |
−0.229664 | + | 0.973270i | \(0.573763\pi\) | |||||||
\(618\) | −12.0059 | − | 13.3486i | −0.482947 | − | 0.536961i | ||||
\(619\) | 9.15819 | − | 11.4840i | 0.368099 | − | 0.461581i | −0.562942 | − | 0.826496i | \(-0.690331\pi\) |
0.931041 | + | 0.364915i | \(0.118902\pi\) | |||||||
\(620\) | 8.31493 | − | 36.4301i | 0.333936 | − | 1.46307i | ||||
\(621\) | −45.5066 | − | 2.11907i | −1.82612 | − | 0.0850354i | ||||
\(622\) | 4.80960 | − | 9.98724i | 0.192848 | − | 0.400452i | ||||
\(623\) | 5.91929 | + | 1.35104i | 0.237151 | + | 0.0541282i | ||||
\(624\) | −0.829718 | − | 0.340584i | −0.0332153 | − | 0.0136343i | ||||
\(625\) | −44.5986 | − | 21.4776i | −1.78395 | − | 0.859103i | ||||
\(626\) | −8.86420 | − | 18.4067i | −0.354285 | − | 0.735680i | ||||
\(627\) | −0.690947 | − | 0.283621i | −0.0275938 | − | 0.0113267i | ||||
\(628\) | 10.1300 | + | 8.07841i | 0.404231 | + | 0.322364i | ||||
\(629\) | 0.101896 | − | 0.127774i | 0.00406287 | − | 0.00509468i | ||||
\(630\) | −3.67692 | − | 30.8630i | −0.146492 | − | 1.22961i | ||||
\(631\) | −30.5277 | + | 6.96775i | −1.21529 | + | 0.277382i | −0.781657 | − | 0.623709i | \(-0.785625\pi\) |
−0.433632 | + | 0.901090i | \(0.642768\pi\) | |||||||
\(632\) | −10.2718 | − | 12.8804i | −0.408589 | − | 0.512355i | ||||
\(633\) | 0.0757602 | + | 1.27632i | 0.00301120 | + | 0.0507290i | ||||
\(634\) | 5.63117 | − | 11.6932i | 0.223642 | − | 0.464398i | ||||
\(635\) | 32.9988 | − | 41.3792i | 1.30952 | − | 1.64208i | ||||
\(636\) | −14.8380 | − | 10.4571i | −0.588365 | − | 0.414653i | ||||
\(637\) | −1.83284 | − | 2.29831i | −0.0726199 | − | 0.0910625i | ||||
\(638\) | − | 5.40109i | − | 0.213831i | ||||||
\(639\) | 26.4826 | + | 9.07750i | 1.04764 | + | 0.359100i | ||||
\(640\) | −22.1927 | − | 27.8288i | −0.877245 | − | 1.10003i | ||||
\(641\) | −10.9180 | + | 5.25781i | −0.431233 | + | 0.207671i | −0.636892 | − | 0.770953i | \(-0.719780\pi\) |
0.205659 | + | 0.978624i | \(0.434066\pi\) | |||||||
\(642\) | −5.93038 | + | 14.4473i | −0.234053 | + | 0.570191i | ||||
\(643\) | 0.771533 | + | 3.38031i | 0.0304263 | + | 0.133306i | 0.987860 | − | 0.155347i | \(-0.0496496\pi\) |
−0.957434 | + | 0.288653i | \(0.906792\pi\) | |||||||
\(644\) | −37.7153 | −1.48619 | ||||||||
\(645\) | 7.17556 | − | 45.5546i | 0.282537 | − | 1.79371i | ||||
\(646\) | 0.0407600 | 0.00160368 | ||||||||
\(647\) | −5.72391 | − | 25.0781i | −0.225030 | − | 0.985921i | −0.953630 | − | 0.300982i | \(-0.902686\pi\) |
0.728600 | − | 0.684940i | \(-0.240171\pi\) | |||||||
\(648\) | −18.7695 | + | 15.3640i | −0.737337 | + | 0.603553i | ||||
\(649\) | 7.52848 | − | 3.62552i | 0.295519 | − | 0.142314i | ||||
\(650\) | −5.47978 | − | 6.87142i | −0.214935 | − | 0.269519i | ||||
\(651\) | −36.8666 | − | 6.14298i | −1.44492 | − | 0.240763i | ||||
\(652\) | − | 13.7155i | − | 0.537140i | ||||||
\(653\) | −11.3899 | − | 14.2825i | −0.445723 | − | 0.558919i | 0.507319 | − | 0.861759i | \(-0.330637\pi\) |
−0.953042 | + | 0.302840i | \(0.902065\pi\) | |||||||
\(654\) | −13.6749 | + | 19.4037i | −0.534729 | + | 0.758746i | ||||
\(655\) | 29.4168 | − | 36.8875i | 1.14941 | − | 1.44131i | ||||
\(656\) | 1.59882 | − | 3.31999i | 0.0624235 | − | 0.129624i | ||||
\(657\) | −20.3927 | − | 2.16607i | −0.795593 | − | 0.0845066i | ||||
\(658\) | 3.49376 | + | 4.38104i | 0.136201 | + | 0.170791i | ||||
\(659\) | −24.0957 | + | 5.49969i | −0.938636 | + | 0.214237i | −0.664359 | − | 0.747413i | \(-0.731295\pi\) |
−0.274276 | + | 0.961651i | \(0.588438\pi\) | |||||||
\(660\) | −10.8803 | + | 3.17219i | −0.423517 | + | 0.123477i | ||||
\(661\) | −3.99505 | + | 5.00964i | −0.155389 | + | 0.194852i | −0.853432 | − | 0.521204i | \(-0.825483\pi\) |
0.698043 | + | 0.716056i | \(0.254055\pi\) | |||||||
\(662\) | 9.64202 | + | 7.68926i | 0.374748 | + | 0.298851i | ||||
\(663\) | 0.0876806 | − | 0.213604i | 0.00340523 | − | 0.00829569i | ||||
\(664\) | −14.8682 | − | 30.8742i | −0.576999 | − | 1.19815i | ||||
\(665\) | 4.21098 | + | 2.02790i | 0.163295 | + | 0.0786386i | ||||
\(666\) | 2.39231 | + | 1.48199i | 0.0927002 | + | 0.0574260i | ||||
\(667\) | 48.2965 | + | 11.0234i | 1.87005 | + | 0.426826i | ||||
\(668\) | 1.78337 | − | 3.70321i | 0.0690008 | − | 0.143282i | ||||
\(669\) | 33.6149 | − | 9.80048i | 1.29963 | − | 0.378908i | ||||
\(670\) | 3.57528 | − | 15.6643i | 0.138125 | − | 0.605165i | ||||
\(671\) | −4.50993 | + | 5.65527i | −0.174104 | + | 0.218319i | ||||
\(672\) | −23.8324 | + | 21.4351i | −0.919357 | + | 0.826876i | ||||
\(673\) | 4.46606 | + | 9.27387i | 0.172154 | + | 0.357481i | 0.969138 | − | 0.246519i | \(-0.0792868\pi\) |
−0.796984 | + | 0.604000i | \(0.793573\pi\) | |||||||
\(674\) | −4.38118 | − | 19.1952i | −0.168757 | − | 0.739371i | ||||
\(675\) | 58.7421 | − | 10.5599i | 2.26099 | − | 0.406450i | ||||
\(676\) | −3.64490 | − | 15.9693i | −0.140188 | − | 0.614205i | ||||
\(677\) | −8.58042 | − | 4.13211i | −0.329772 | − | 0.158810i | 0.261670 | − | 0.965157i | \(-0.415727\pi\) |
−0.591442 | + | 0.806348i | \(0.701441\pi\) | |||||||
\(678\) | 15.3834 | + | 17.1039i | 0.590795 | + | 0.656872i | ||||
\(679\) | 3.53635 | − | 7.34332i | 0.135713 | − | 0.281811i | ||||
\(680\) | 1.19755 | − | 0.955016i | 0.0459240 | − | 0.0366232i | ||||
\(681\) | 5.43981 | − | 32.6466i | 0.208454 | − | 1.25102i | ||||
\(682\) | − | 6.49453i | − | 0.248688i | ||||||
\(683\) | −22.4946 | + | 17.9389i | −0.860732 | + | 0.686411i | −0.950894 | − | 0.309516i | \(-0.899833\pi\) |
0.0901619 | + | 0.995927i | \(0.471262\pi\) | |||||||
\(684\) | −0.174233 | − | 1.46246i | −0.00666196 | − | 0.0559186i | ||||
\(685\) | −4.12854 | + | 18.0883i | −0.157744 | + | 0.691120i | ||||
\(686\) | 9.73516 | − | 2.22199i | 0.371690 | − | 0.0848359i | ||||
\(687\) | −4.77295 | + | 28.6445i | −0.182100 | + | 1.09285i | ||||
\(688\) | −3.19842 | + | 1.57541i | −0.121938 | + | 0.0600620i | ||||
\(689\) | 7.36905i | 0.280738i | ||||||||
\(690\) | 2.93527 | + | 49.4498i | 0.111744 | + | 1.88252i | ||||
\(691\) | 7.50848 | + | 1.71376i | 0.285636 | + | 0.0651945i | 0.362938 | − | 0.931813i | \(-0.381774\pi\) |
−0.0773025 | + | 0.997008i | \(0.524631\pi\) | |||||||
\(692\) | 7.42520 | + | 15.4186i | 0.282264 | + | 0.586127i | ||||
\(693\) | 3.81213 | + | 10.6755i | 0.144811 | + | 0.405530i | ||||
\(694\) | −4.07802 | −0.154799 | ||||||||
\(695\) | 14.8192 | 0.562124 | ||||||||
\(696\) | 23.0444 | − | 12.8323i | 0.873495 | − | 0.486407i | ||||
\(697\) | 0.854703 | + | 0.411603i | 0.0323742 | + | 0.0155906i | ||||
\(698\) | 0.998486 | + | 0.796266i | 0.0377933 | + | 0.0301391i | ||||
\(699\) | −22.3051 | + | 31.6495i | −0.843656 | + | 1.19709i | ||||
\(700\) | 48.1727 | − | 10.9951i | 1.82076 | − | 0.415576i | ||||
\(701\) | 13.3189 | − | 10.6215i | 0.503047 | − | 0.401167i | −0.338820 | − | 0.940851i | \(-0.610028\pi\) |
0.841867 | + | 0.539684i | \(0.181456\pi\) | |||||||
\(702\) | 3.83092 | + | 1.06408i | 0.144589 | + | 0.0401612i | ||||
\(703\) | −0.381270 | + | 0.183610i | −0.0143799 | + | 0.00692498i | ||||
\(704\) | −3.34322 | − | 2.66613i | −0.126002 | − | 0.100484i | ||||
\(705\) | −11.4830 | + | 10.3279i | −0.432475 | + | 0.388971i | ||||
\(706\) | −16.0664 | − | 3.66705i | −0.604667 | − | 0.138011i | ||||
\(707\) | 11.3391 | − | 5.46064i | 0.426452 | − | 0.205368i | ||||
\(708\) | 13.4685 | + | 9.49198i | 0.506177 | + | 0.356731i | ||||
\(709\) | −4.69104 | + | 20.5528i | −0.176176 | + | 0.771877i | 0.807198 | + | 0.590281i | \(0.200983\pi\) |
−0.983373 | + | 0.181595i | \(0.941874\pi\) | |||||||
\(710\) | 6.77388 | − | 29.6783i | 0.254219 | − | 1.11381i | ||||
\(711\) | −13.0497 | − | 12.8843i | −0.489402 | − | 0.483199i | ||||
\(712\) | −4.64203 | + | 2.23549i | −0.173968 | + | 0.0837784i | ||||
\(713\) | 58.0740 | + | 13.2550i | 2.17489 | + | 0.496404i | ||||
\(714\) | −0.413686 | − | 0.459955i | −0.0154818 | − | 0.0172134i | ||||
\(715\) | 3.59702 | + | 2.86853i | 0.134521 | + | 0.107277i | ||||
\(716\) | 14.5997 | − | 7.03083i | 0.545615 | − | 0.262754i | ||||
\(717\) | −0.843488 | − | 14.2101i | −0.0315007 | − | 0.530685i | ||||
\(718\) | −12.1221 | + | 9.66707i | −0.452394 | + | 0.360772i | ||||
\(719\) | −24.7293 | + | 5.64430i | −0.922247 | + | 0.210497i | −0.657180 | − | 0.753733i | \(-0.728251\pi\) |
−0.265066 | + | 0.964230i | \(0.585394\pi\) | |||||||
\(720\) | −4.71289 | − | 4.65315i | −0.175639 | − | 0.173413i | ||||
\(721\) | −32.0353 | − | 25.5473i | −1.19306 | − | 0.951430i | ||||
\(722\) | 13.6583 | + | 6.57747i | 0.508308 | + | 0.244788i | ||||
\(723\) | −9.73323 | − | 17.4790i | −0.361983 | − | 0.650053i | ||||
\(724\) | 9.86613 | 0.366672 | ||||||||
\(725\) | −64.9014 | −2.41038 | ||||||||
\(726\) | 11.6527 | − | 6.48880i | 0.432471 | − | 0.240822i | ||||
\(727\) | 16.5937 | + | 34.4571i | 0.615426 | + | 1.27794i | 0.942897 | + | 0.333083i | \(0.108089\pi\) |
−0.327472 | + | 0.944861i | \(0.606197\pi\) | |||||||
\(728\) | 7.94755 | + | 1.81398i | 0.294556 | + | 0.0672305i | ||||
\(729\) | −18.7231 | + | 19.4537i | −0.693448 | + | 0.720507i | ||||
\(730\) | 22.2994i | 0.825338i | ||||||||
\(731\) | −0.405576 | − | 0.823406i | −0.0150008 | − | 0.0304548i | ||||
\(732\) | −14.0695 | − | 2.34437i | −0.520025 | − | 0.0866505i | ||||
\(733\) | −23.0974 | + | 5.27183i | −0.853122 | + | 0.194720i | −0.626653 | − | 0.779299i | \(-0.715576\pi\) |
−0.226470 | + | 0.974018i | \(0.572718\pi\) | |||||||
\(734\) | −2.73983 | + | 12.0040i | −0.101129 | + | 0.443075i | ||||
\(735\) | −6.07579 | − | 20.8395i | −0.224109 | − | 0.768675i | ||||
\(736\) | 39.9414 | − | 31.8522i | 1.47226 | − | 1.17409i | ||||
\(737\) | 5.85990i | 0.215852i | ||||||||
\(738\) | −5.29672 | + | 15.4526i | −0.194975 | + | 0.568818i | ||||
\(739\) | −7.57250 | + | 6.03887i | −0.278559 | + | 0.222143i | −0.752796 | − | 0.658254i | \(-0.771295\pi\) |
0.474237 | + | 0.880397i | \(0.342724\pi\) | |||||||
\(740\) | −2.78610 | + | 5.78539i | −0.102419 | + | 0.212675i | ||||
\(741\) | −0.444534 | + | 0.399817i | −0.0163304 | + | 0.0146876i | ||||
\(742\) | 17.7879 | + | 8.56620i | 0.653014 | + | 0.314475i | ||||
\(743\) | −0.309106 | − | 1.35428i | −0.0113400 | − | 0.0496838i | 0.968941 | − | 0.247291i | \(-0.0795402\pi\) |
−0.980281 | + | 0.197607i | \(0.936683\pi\) | |||||||
\(744\) | 27.7097 | − | 15.4302i | 1.01589 | − | 0.565697i | ||||
\(745\) | 8.11059 | + | 35.5348i | 0.297149 | + | 1.30190i | ||||
\(746\) | 7.31394 | + | 15.1876i | 0.267782 | + | 0.556056i | ||||
\(747\) | −20.4997 | − | 32.1679i | −0.750046 | − | 1.17696i | ||||
\(748\) | −0.140642 | + | 0.176360i | −0.00514238 | + | 0.00644834i | ||||
\(749\) | −7.93121 | + | 34.7489i | −0.289800 | + | 1.26970i | ||||
\(750\) | −10.2578 | − | 35.1833i | −0.374560 | − | 1.28471i | ||||
\(751\) | −20.6660 | + | 42.9134i | −0.754113 | + | 1.56593i | 0.0687122 | + | 0.997637i | \(0.478111\pi\) |
−0.822825 | + | 0.568295i | \(0.807603\pi\) | |||||||
\(752\) | 1.16409 | + | 0.265697i | 0.0424501 | + | 0.00968897i | ||||
\(753\) | 7.80476 | − | 19.0136i | 0.284421 | − | 0.692895i | ||||
\(754\) | −3.89537 | − | 1.87591i | −0.141861 | − | 0.0683167i | ||||
\(755\) | 6.29892 | + | 13.0798i | 0.229241 | + | 0.476024i | ||||
\(756\) | −14.7347 | + | 16.8091i | −0.535897 | + | 0.611341i | ||||
\(757\) | 0.649695 | + | 0.518114i | 0.0236136 | + | 0.0188312i | 0.635225 | − | 0.772327i | \(-0.280907\pi\) |
−0.611612 | + | 0.791158i | \(0.709479\pi\) | |||||||
\(758\) | −3.89517 | + | 4.88438i | −0.141479 | + | 0.177409i | ||||
\(759\) | −5.05685 | − | 17.3446i | −0.183552 | − | 0.629569i | ||||
\(760\) | −3.86676 | + | 0.882563i | −0.140262 | + | 0.0320139i | ||||
\(761\) | 0.449391 | + | 0.563518i | 0.0162904 | + | 0.0204275i | 0.789910 | − | 0.613223i | \(-0.210127\pi\) |
−0.773620 | + | 0.633650i | \(0.781556\pi\) | |||||||
\(762\) | 18.1072 | − | 1.07482i | 0.655955 | − | 0.0389365i | ||||
\(763\) | −23.5066 | + | 48.8119i | −0.850996 | + | 1.76711i | ||||
\(764\) | −7.48778 | + | 9.38938i | −0.270898 | + | 0.339696i | ||||
\(765\) | 1.19791 | − | 1.21329i | 0.0433107 | − | 0.0438667i | ||||
\(766\) | −13.1162 | − | 16.4472i | −0.473907 | − | 0.594260i | ||||
\(767\) | − | 6.68891i | − | 0.241523i | ||||||
\(768\) | 4.05144 | − | 24.3144i | 0.146194 | − | 0.877369i | ||||
\(769\) | −11.6847 | − | 14.6521i | −0.421360 | − | 0.528369i | 0.525164 | − | 0.851001i | \(-0.324004\pi\) |
−0.946524 | + | 0.322632i | \(0.895432\pi\) | |||||||
\(770\) | 11.1056 | − | 5.34819i | 0.400219 | − | 0.192735i | ||||
\(771\) | −16.8894 | − | 6.93280i | −0.608257 | − | 0.249679i | ||||
\(772\) | 0.274454 | + | 1.20246i | 0.00987781 | + | 0.0432775i | ||||
\(773\) | 47.7797 | 1.71851 | 0.859257 | − | 0.511543i | \(-0.170926\pi\) | ||||
0.859257 | + | 0.511543i | \(0.170926\pi\) | |||||||
\(774\) | 13.2528 | − | 8.61208i | 0.476363 | − | 0.309555i | ||||
\(775\) | −78.0406 | −2.80330 | ||||||||
\(776\) | 1.53906 | + | 6.74305i | 0.0552489 | + | 0.242061i | ||||
\(777\) | 5.94157 | + | 2.43891i | 0.213153 | + | 0.0874953i | ||||
\(778\) | −6.36803 | + | 3.06668i | −0.228305 | + | 0.109946i | ||||
\(779\) | −1.53154 | − | 1.92049i | −0.0548731 | − | 0.0688087i | ||||
\(780\) | −1.49113 | + | 8.94890i | −0.0533911 | + | 0.320422i | ||||
\(781\) | 11.1024i | 0.397276i | ||||||||
\(782\) | 0.614731 | + | 0.770849i | 0.0219827 | + | 0.0275655i | ||||
\(783\) | 23.7815 | − | 17.2183i | 0.849883 | − | 0.615332i | ||||
\(784\) | −1.04636 | + | 1.31209i | −0.0373699 | + | 0.0468604i | ||||
\(785\) | 16.8519 | − | 34.9932i | 0.601469 | − | 1.24896i | ||||
\(786\) | 16.1417 | − | 0.958146i | 0.575755 | − | 0.0341760i | ||||
\(787\) | −13.5786 | − | 17.0270i | −0.484025 | − | 0.606948i | 0.478518 | − | 0.878078i | \(-0.341174\pi\) |
−0.962543 | + | 0.271130i | \(0.912603\pi\) | |||||||
\(788\) | −17.4404 | + | 3.98065i | −0.621287 | + | 0.141805i | ||||
\(789\) | −4.26721 | − | 14.6362i | −0.151917 | − | 0.521062i | ||||
\(790\) | −12.4330 | + | 15.5905i | −0.442347 | + | 0.554685i | ||||
\(791\) | 41.0475 | + | 32.7343i | 1.45948 | + | 1.16390i | ||||
\(792\) | −8.17752 | − | 5.06582i | −0.290576 | − | 0.180006i | ||||
\(793\) | 2.51230 | + | 5.21685i | 0.0892145 | + | 0.185256i | ||||
\(794\) | 3.79425 | + | 1.82721i | 0.134653 | + | 0.0648454i | ||||
\(795\) | −20.6632 | + | 50.3389i | −0.732849 | + | 1.78534i | ||||
\(796\) | −0.812051 | − | 0.185345i | −0.0287824 | − | 0.00656939i | ||||
\(797\) | −15.7815 | + | 32.7707i | −0.559011 | + | 1.16080i | 0.409611 | + | 0.912260i | \(0.365664\pi\) |
−0.968622 | + | 0.248538i | \(0.920050\pi\) | |||||||
\(798\) | 0.448353 | + | 1.53782i | 0.0158715 | + | 0.0544381i | ||||
\(799\) | −0.0684014 | + | 0.299686i | −0.00241987 | + | 0.0106021i | ||||
\(800\) | −41.7302 | + | 52.3280i | −1.47538 | + | 1.85007i | ||||
\(801\) | −4.83654 | + | 3.08220i | −0.170891 | + | 0.108904i | ||||
\(802\) | 4.45330 | + | 9.24738i | 0.157252 | + | 0.326536i | ||||
\(803\) | −1.80974 | − | 7.92898i | −0.0638643 | − | 0.279808i | ||||
\(804\) | −10.0955 | + | 5.62168i | −0.356040 | + | 0.198261i | ||||
\(805\) | 25.1574 | + | 110.222i | 0.886682 | + | 3.88481i | ||||
\(806\) | −4.68399 | − | 2.25569i | −0.164986 | − | 0.0794532i | ||||
\(807\) | −5.43854 | + | 4.89146i | −0.191446 | + | 0.172188i | ||||
\(808\) | −4.63388 | + | 9.62235i | −0.163019 | + | 0.338513i | ||||
\(809\) | 27.9607 | − | 22.2979i | 0.983045 | − | 0.783952i | 0.00665747 | − | 0.999978i | \(-0.497881\pi\) |
0.976388 | + | 0.216025i | \(0.0693094\pi\) | |||||||
\(810\) | 23.1857 | + | 18.0110i | 0.814664 | + | 0.632842i | ||||
\(811\) | − | 24.4260i | − | 0.857714i | −0.903372 | − | 0.428857i | \(-0.858916\pi\) | ||
0.903372 | − | 0.428857i | \(-0.141084\pi\) | |||||||
\(812\) | 19.0041 | − | 15.1553i | 0.666913 | − | 0.531846i | ||||
\(813\) | −2.39513 | − | 8.21510i | −0.0840008 | − | 0.288116i | ||||
\(814\) | −0.248344 | + | 1.08807i | −0.00870445 | + | 0.0381367i | ||||
\(815\) | −40.0831 | + | 9.14871i | −1.40405 | + | 0.320465i | ||||
\(816\) | −0.130026 | − | 0.0216659i | −0.00455183 | − | 0.000758459i | ||||
\(817\) | 0.0211016 | + | 2.37661i | 0.000738252 | + | 0.0831472i | ||||
\(818\) | − | 24.3724i | − | 0.852162i | ||||||
\(819\) | 9.02344 | + | 0.958455i | 0.315304 | + | 0.0334911i | ||||
\(820\) | −36.3389 | − | 8.29411i | −1.26901 | − | 0.289643i | ||||
\(821\) | 7.17012 | + | 14.8889i | 0.250239 | + | 0.519626i | 0.987814 | − | 0.155639i | \(-0.0497436\pi\) |
−0.737575 | + | 0.675265i | \(0.764029\pi\) | |||||||
\(822\) | −5.55550 | + | 3.09358i | −0.193770 | + | 0.107901i | ||||
\(823\) | −12.1955 | −0.425108 | −0.212554 | − | 0.977149i | \(-0.568178\pi\) | ||||
−0.212554 | + | 0.977149i | \(0.568178\pi\) | |||||||
\(824\) | 34.7710 | 1.21130 | ||||||||
\(825\) | 11.5154 | + | 20.6796i | 0.400916 | + | 0.719970i | ||||
\(826\) | −16.1461 | − | 7.77557i | −0.561796 | − | 0.270547i | ||||
\(827\) | −8.23190 | − | 6.56472i | −0.286251 | − | 0.228278i | 0.469828 | − | 0.882758i | \(-0.344316\pi\) |
−0.756079 | + | 0.654480i | \(0.772887\pi\) | |||||||
\(828\) | 25.0301 | − | 25.3515i | 0.869858 | − | 0.881025i | ||||
\(829\) | −31.9166 | + | 7.28476i | −1.10851 | + | 0.253010i | −0.737318 | − | 0.675546i | \(-0.763908\pi\) |
−0.371192 | + | 0.928556i | \(0.621051\pi\) | |||||||
\(830\) | −32.4287 | + | 25.8610i | −1.12562 | + | 0.897650i | ||||
\(831\) | −2.78642 | − | 46.9423i | −0.0966600 | − | 1.62841i | ||||
\(832\) | −3.08404 | + | 1.48520i | −0.106920 | + | 0.0514899i | ||||
\(833\) | −0.337787 | − | 0.269376i | −0.0117036 | − | 0.00933333i | ||||
\(834\) | 3.39637 | + | 3.77624i | 0.117607 | + | 0.130760i | ||||
\(835\) | −12.0121 | − | 2.74168i | −0.415696 | − | 0.0948799i | ||||
\(836\) | 0.526246 | − | 0.253427i | 0.0182006 | − | 0.00876495i | ||||
\(837\) | 28.5961 | − | 20.7041i | 0.988425 | − | 0.715640i | ||||
\(838\) | 1.07662 | − | 4.71696i | 0.0371911 | − | 0.162945i | ||||
\(839\) | 1.83250 | − | 8.02870i | 0.0632649 | − | 0.277182i | −0.933394 | − | 0.358852i | \(-0.883168\pi\) |
0.996659 | + | 0.0816703i | \(0.0260254\pi\) | |||||||
\(840\) | 49.2043 | + | 34.6769i | 1.69771 | + | 1.19647i | ||||
\(841\) | −2.63723 | + | 1.27002i | −0.0909389 | + | 0.0437939i | ||||
\(842\) | 18.6443 | + | 4.25545i | 0.642526 | + | 0.146652i | ||||
\(843\) | 19.7263 | − | 17.7420i | 0.679410 | − | 0.611066i | ||||
\(844\) | −0.781729 | − | 0.623408i | −0.0269082 | − | 0.0214586i | ||||
\(845\) | −44.2386 | + | 21.3042i | −1.52186 | + | 0.732887i | ||||
\(846\) | −5.26352 | − | 0.559083i | −0.180964 | − | 0.0192217i | ||||
\(847\) | 23.7988 | − | 18.9789i | 0.817736 | − | 0.652123i | ||||
\(848\) | 4.10146 | − | 0.936132i | 0.140845 | − | 0.0321469i | ||||
\(849\) | 19.2334 | − | 27.2909i | 0.660088 | − | 0.936621i | ||||
\(850\) | −1.00990 | − | 0.805372i | −0.0346394 | − | 0.0276240i | ||||
\(851\) | −9.22262 | − | 4.44138i | −0.316147 | − | 0.152248i | ||||
\(852\) | −19.1274 | + | 10.6511i | −0.655293 | + | 0.364900i | ||||
\(853\) | 34.0661 | 1.16640 | 0.583200 | − | 0.812329i | \(-0.301800\pi\) | ||||
0.583200 | + | 0.812329i | \(0.301800\pi\) | |||||||
\(854\) | 15.5132 | 0.530852 | ||||||||
\(855\) | −4.15778 | + | 1.48470i | −0.142193 | + | 0.0507757i | ||||
\(856\) | −13.1233 | − | 27.2508i | −0.448545 | − | 0.931414i | ||||
\(857\) | 3.08886 | + | 0.705013i | 0.105514 | + | 0.0240828i | 0.274952 | − | 0.961458i | \(-0.411338\pi\) |
−0.169438 | + | 0.985541i | \(0.554195\pi\) | |||||||
\(858\) | 0.0934320 | + | 1.57403i | 0.00318971 | + | 0.0537364i | ||||
\(859\) | 4.31378i | 0.147184i | 0.997288 | + | 0.0735922i | \(0.0234463\pi\) | ||||
−0.997288 | + | 0.0735922i | \(0.976554\pi\) | |||||||
\(860\) | 22.7351 | + | 27.9953i | 0.775260 | + | 0.954633i | ||||
\(861\) | −6.12760 | + | 36.7743i | −0.208828 | + | 1.25326i | ||||
\(862\) | 21.5046 | − | 4.90828i | 0.732448 | − | 0.167177i | ||||
\(863\) | −5.14925 | + | 22.5603i | −0.175282 | + | 0.767963i | 0.808485 | + | 0.588516i | \(0.200288\pi\) |
−0.983768 | + | 0.179446i | \(0.942569\pi\) | |||||||
\(864\) | 1.40841 | − | 30.2453i | 0.0479151 | − | 1.02897i | ||||
\(865\) | 40.1075 | − | 31.9847i | 1.36370 | − | 1.08751i | ||||
\(866\) | 25.2461i | 0.857897i | ||||||||
\(867\) | −4.83402 | + | 29.0109i | −0.164172 | + | 0.985263i | ||||
\(868\) | 22.8515 | − | 18.2234i | 0.775629 | − | 0.618544i | ||||
\(869\) | 3.15553 | − | 6.55252i | 0.107044 | − | 0.222279i | ||||
\(870\) | −21.3496 | − | 23.7374i | −0.723820 | − | 0.804774i | ||||
\(871\) | 4.22628 | + | 2.03527i | 0.143202 | + | 0.0689625i | ||||
\(872\) | −10.2303 | − | 44.8219i | −0.346442 | − | 1.51786i | ||||
\(873\) | 2.58910 | + | 7.25054i | 0.0876277 | + | 0.245394i | ||||
\(874\) | −0.568094 | − | 2.48898i | −0.0192161 | − | 0.0841911i | ||||
\(875\) | −36.2904 | − | 75.3578i | −1.22684 | − | 2.54756i | ||||
\(876\) | 11.9239 | − | 10.7245i | 0.402873 | − | 0.362347i | ||||
\(877\) | −26.3027 | + | 32.9826i | −0.888181 | + | 1.11374i | 0.104685 | + | 0.994505i | \(0.466617\pi\) |
−0.992866 | + | 0.119238i | \(0.961955\pi\) | |||||||
\(878\) | −1.09164 | + | 4.78277i | −0.0368410 | + | 0.161411i | ||||
\(879\) | −11.4801 | + | 3.34705i | −0.387214 | + | 0.112893i | ||||
\(880\) | 1.13962 | − | 2.36644i | 0.0384164 | − | 0.0797725i | ||||
\(881\) | 30.0898 | + | 6.86780i | 1.01375 | + | 0.231382i | 0.696958 | − | 0.717112i | \(-0.254537\pi\) |
0.316794 | + | 0.948494i | \(0.397394\pi\) | |||||||
\(882\) | 3.91784 | − | 6.32439i | 0.131920 | − | 0.212953i | ||||
\(883\) | −7.35532 | − | 3.54214i | −0.247526 | − | 0.119202i | 0.306008 | − | 0.952029i | \(-0.401007\pi\) |
−0.553534 | + | 0.832827i | \(0.686721\pi\) | |||||||
\(884\) | 0.0783461 | + | 0.162687i | 0.00263506 | + | 0.00547177i | ||||
\(885\) | 18.7561 | − | 45.6928i | 0.630479 | − | 1.53595i | ||||
\(886\) | 2.84498 | + | 2.26880i | 0.0955790 | + | 0.0762217i | ||||
\(887\) | 13.7730 | − | 17.2707i | 0.462450 | − | 0.579895i | −0.494854 | − | 0.868976i | \(-0.664778\pi\) |
0.957304 | + | 0.289082i | \(0.0933499\pi\) | |||||||
\(888\) | −5.23240 | + | 1.52552i | −0.175588 | + | 0.0511930i | ||||
\(889\) | 40.3603 | − | 9.21198i | 1.35364 | − | 0.308960i | ||||
\(890\) | 3.88829 | + | 4.87576i | 0.130336 | + | 0.163436i | ||||
\(891\) | −9.70584 | − | 4.52248i | −0.325158 | − | 0.151509i | ||||
\(892\) | −11.8807 | + | 24.6705i | −0.397794 | + | 0.826029i | ||||
\(893\) | 0.496269 | − | 0.622302i | 0.0166070 | − | 0.0208245i | ||||
\(894\) | −7.19617 | + | 10.2109i | −0.240676 | + | 0.341503i | ||||
\(895\) | −30.2859 | − | 37.9773i | −1.01234 | − | 1.26944i | ||||
\(896\) | − | 27.8416i | − | 0.930124i | ||||||
\(897\) | −14.2656 | − | 2.37705i | −0.476316 | − | 0.0793673i | ||||
\(898\) | −8.48913 | − | 10.6450i | −0.283286 | − | 0.355229i | ||||
\(899\) | −34.5888 | + | 16.6571i | −1.15360 | + | 0.555546i | ||||
\(900\) | −24.5796 | + | 39.6778i | −0.819321 | + | 1.32259i | ||||
\(901\) | 0.240999 | + | 1.05589i | 0.00802885 | + | 0.0351767i | ||||
\(902\) | −6.47827 | −0.215703 | ||||||||
\(903\) | 26.6046 | − | 24.3591i | 0.885346 | − | 0.810621i | ||||
\(904\) | −44.5528 | −1.48180 | ||||||||
\(905\) | −6.58105 | − | 28.8335i | −0.218762 | − | 0.958457i | ||||
\(906\) | −1.88938 | + | 4.60283i | −0.0627705 | + | 0.152919i | ||||
\(907\) | −17.9178 | + | 8.62875i | −0.594950 | + | 0.286513i | −0.707027 | − | 0.707187i | \(-0.749964\pi\) |
0.112077 | + | 0.993700i | \(0.464250\pi\) | |||||||
\(908\) | 16.1374 | + | 20.2357i | 0.535540 | + | 0.671546i | ||||
\(909\) | −3.85480 | + | 11.2460i | −0.127856 | + | 0.373005i | ||||
\(910\) | − | 9.86715i | − | 0.327093i | ||||||
\(911\) | −32.9347 | − | 41.2988i | −1.09117 | − | 1.36829i | −0.924013 | − | 0.382361i | \(-0.875111\pi\) |
−0.167162 | − | 0.985929i | \(-0.553460\pi\) | |||||||
\(912\) | 0.279002 | + | 0.196628i | 0.00923867 | + | 0.00651099i | ||||
\(913\) | 9.43186 | − | 11.8272i | 0.312149 | − | 0.391423i | ||||
\(914\) | 7.65612 | − | 15.8981i | 0.253242 | − | 0.525863i | ||||
\(915\) | 2.53352 | + | 42.6816i | 0.0837555 | + | 1.41101i | ||||
\(916\) | −14.1592 | − | 17.7551i | −0.467833 | − | 0.586643i | ||||
\(917\) | 35.9792 | − | 8.21203i | 1.18814 | − | 0.271185i | ||||
\(918\) | 0.583720 | + | 0.0271816i | 0.0192656 | + | 0.000897128i | ||||
\(919\) | −29.1593 | + | 36.5646i | −0.961876 | + | 1.20615i | 0.0166142 | + | 0.999862i | \(0.494711\pi\) |
−0.978490 | + | 0.206293i | \(0.933860\pi\) | |||||||
\(920\) | −75.0084 | − | 59.8172i | −2.47295 | − | 1.97211i | ||||
\(921\) | −5.34278 | − | 2.19312i | −0.176051 | − | 0.0722656i | ||||
\(922\) | 8.40845 | + | 17.4603i | 0.276918 | + | 0.575025i | ||||
\(923\) | 8.00730 | + | 3.85611i | 0.263563 | + | 0.126925i | ||||
\(924\) | −8.20083 | − | 3.36629i | −0.269787 | − | 0.110743i | ||||
\(925\) | 13.0746 | + | 2.98419i | 0.429890 | + | 0.0981195i | ||||
\(926\) | −2.57574 | + | 5.34858i | −0.0846442 | + | 0.175765i | ||||
\(927\) | 38.4329 | − | 4.57877i | 1.26230 | − | 0.150387i | ||||
\(928\) | −7.32651 | + | 32.0995i | −0.240505 | + | 1.05372i | ||||
\(929\) | 12.1882 | − | 15.2835i | 0.399881 | − | 0.501434i | −0.540601 | − | 0.841279i | \(-0.681803\pi\) |
0.940482 | + | 0.339845i | \(0.110375\pi\) | |||||||
\(930\) | −25.6718 | − | 28.5431i | −0.841812 | − | 0.935964i | ||||
\(931\) | 0.485396 | + | 1.00794i | 0.0159082 | + | 0.0330338i | ||||
\(932\) | −6.73787 | − | 29.5206i | −0.220706 | − | 0.966978i | ||||
\(933\) | 11.6263 | + | 20.8786i | 0.380627 | + | 0.683536i | ||||
\(934\) | 3.33630 | + | 14.6173i | 0.109167 | + | 0.478292i | ||||
\(935\) | 0.609219 | + | 0.293384i | 0.0199236 | + | 0.00959469i | ||||
\(936\) | −6.49380 | + | 4.13833i | −0.212256 | + | 0.135265i | ||||
\(937\) | −1.06523 | + | 2.21197i | −0.0347994 | + | 0.0722618i | −0.917644 | − | 0.397404i | \(-0.869911\pi\) |
0.882844 | + | 0.469666i | \(0.155626\pi\) | |||||||
\(938\) | 9.82574 | − | 7.83576i | 0.320822 | − | 0.255847i | ||||
\(939\) | 43.4445 | + | 7.23905i | 1.41776 | + | 0.236237i | ||||
\(940\) | − | 12.0778i | − | 0.393934i | ||||||
\(941\) | 36.8969 | − | 29.4243i | 1.20280 | − | 0.959205i | 0.203004 | − | 0.979178i | \(-0.434929\pi\) |
0.999801 | + | 0.0199729i | \(0.00635798\pi\) | |||||||
\(942\) | 12.7792 | − | 3.72581i | 0.416370 | − | 0.121394i | ||||
\(943\) | 13.2218 | − | 57.9286i | 0.430562 | − | 1.88642i | ||||
\(944\) | −3.72291 | + | 0.849730i | −0.121170 | + | 0.0276564i | ||||
\(945\) | 58.9527 | + | 31.8495i | 1.91773 | + | 1.03607i | ||||
\(946\) | 4.93510 | + | 3.86443i | 0.160454 | + | 0.125643i | ||||
\(947\) | 37.4137i | 1.21578i | 0.794020 | + | 0.607891i | \(0.207984\pi\) | ||||
−0.794020 | + | 0.607891i | \(0.792016\pi\) | |||||||
\(948\) | 14.3160 | − | 0.849775i | 0.464961 | − | 0.0275994i | ||||
\(949\) | −6.34710 | − | 1.44868i | −0.206036 | − | 0.0470263i | ||||
\(950\) | 1.45122 | + | 3.01349i | 0.0470839 | + | 0.0977707i | ||||
\(951\) | 13.6123 | + | 24.4451i | 0.441408 | + | 0.792686i | ||||
\(952\) | 1.19810 | 0.0388308 | ||||||||
\(953\) | −56.2686 | −1.82272 | −0.911360 | − | 0.411611i | \(-0.864966\pi\) | ||||
−0.911360 | + | 0.411611i | \(0.864966\pi\) | |||||||
\(954\) | −17.5632 | + | 6.27163i | −0.568628 | + | 0.203052i | ||||
\(955\) | 32.4348 | + | 15.6198i | 1.04957 | + | 0.505444i | ||||
\(956\) | 8.70351 | + | 6.94081i | 0.281491 | + | 0.224482i | ||||
\(957\) | 9.51771 | + | 6.70764i | 0.307664 | + | 0.216827i | ||||
\(958\) | 23.3522 | − | 5.32999i | 0.754476 | − | 0.172204i | ||||
\(959\) | −11.3462 | + | 9.04833i | −0.366389 | + | 0.292186i | ||||
\(960\) | −25.2320 | + | 1.49774i | −0.814361 | + | 0.0483392i | ||||
\(961\) | −13.6613 | + | 6.57892i | −0.440686 | + | 0.212223i | ||||
\(962\) | 0.698480 | + | 0.557019i | 0.0225199 | + | 0.0179590i | ||||
\(963\) | −18.0939 | − | 28.3927i | −0.583068 | − | 0.914941i | ||||
\(964\) | 15.2532 | + | 3.48144i | 0.491272 | + | 0.112130i | ||||
\(965\) | 3.33109 | − | 1.60417i | 0.107231 | − | 0.0516400i | ||||
\(966\) | −22.3211 | + | 31.6721i | −0.718168 | + | 1.01903i | ||||
\(967\) | 13.1721 | − | 57.7109i | 0.423587 | − | 1.85586i | −0.0872605 | − | 0.996186i | \(-0.527811\pi\) |
0.510848 | − | 0.859671i | \(-0.329332\pi\) | |||||||
\(968\) | −5.74796 | + | 25.1835i | −0.184747 | + | 0.809428i | ||||
\(969\) | −0.0506201 | + | 0.0718266i | −0.00162615 | + | 0.00230740i | ||||
\(970\) | 7.54266 | − | 3.63235i | 0.242180 | − | 0.116628i | ||||
\(971\) | −26.3806 | − | 6.02120i | −0.846594 | − | 0.193230i | −0.222845 | − | 0.974854i | \(-0.571534\pi\) |
−0.623749 | + | 0.781624i | \(0.714391\pi\) | |||||||
\(972\) | −1.51990 | − | 21.0599i | −0.0487508 | − | 0.675498i | ||||
\(973\) | 9.06255 | + | 7.22714i | 0.290532 | + | 0.231692i | ||||
\(974\) | 8.86256 | − | 4.26798i | 0.283975 | − | 0.136755i | ||||
\(975\) | 18.9141 | − | 1.12271i | 0.605735 | − | 0.0359556i | ||||
\(976\) | 2.58444 | − | 2.06102i | 0.0827259 | − | 0.0659717i | ||||
\(977\) | 52.8896 | − | 12.0717i | 1.69209 | − | 0.386208i | 0.735471 | − | 0.677556i | \(-0.236961\pi\) |
0.956617 | + | 0.291348i | \(0.0941037\pi\) | |||||||
\(978\) | −11.5178 | − | 8.11724i | −0.368300 | − | 0.259561i | ||||
\(979\) | −1.77825 | − | 1.41811i | −0.0568332 | − | 0.0453230i | ||||
\(980\) | 15.2944 | + | 7.36541i | 0.488562 | + | 0.235279i | ||||
\(981\) | −17.2101 | − | 48.1952i | −0.549475 | − | 1.53876i | ||||
\(982\) | −26.0252 | −0.830497 | ||||||||
\(983\) | 51.0614 | 1.62860 | 0.814302 | − | 0.580441i | \(-0.197120\pi\) | ||||
0.814302 | + | 0.580441i | \(0.197120\pi\) | |||||||
\(984\) | −15.3915 | − | 27.6403i | −0.490664 | − | 0.881141i | ||||
\(985\) | 23.2666 | + | 48.3137i | 0.741337 | + | 1.53940i | ||||
\(986\) | −0.619506 | − | 0.141398i | −0.0197291 | − | 0.00450303i | ||||
\(987\) | −12.0591 | + | 0.715812i | −0.383846 | + | 0.0227845i | ||||
\(988\) | − | 0.467560i | − | 0.0148751i | ||||||
\(989\) | −44.6280 | + | 36.2425i | −1.41909 | + | 1.15244i | ||||
\(990\) | −3.77542 | + | 11.0144i | −0.119991 | + | 0.350060i | ||||
\(991\) | −13.5709 | + | 3.09747i | −0.431094 | + | 0.0983945i | −0.432561 | − | 0.901604i | \(-0.642390\pi\) |
0.00146706 | + | 0.999999i | \(0.499533\pi\) | |||||||
\(992\) | −8.80976 | + | 38.5981i | −0.279710 | + | 1.22549i | ||||
\(993\) | −25.5244 | + | 7.44168i | −0.809992 | + | 0.236155i | ||||
\(994\) | 18.6163 | − | 14.8460i | 0.590473 | − | 0.470886i | ||||
\(995\) | 2.49683i | 0.0791547i | ||||||||
\(996\) | 29.4244 | + | 4.90291i | 0.932348 | + | 0.155355i | ||||
\(997\) | 2.83260 | − | 2.25892i | 0.0897092 | − | 0.0715407i | −0.577608 | − | 0.816314i | \(-0.696014\pi\) |
0.667317 | + | 0.744773i | \(0.267442\pi\) | |||||||
\(998\) | 6.36280 | − | 13.2125i | 0.201411 | − | 0.418234i | ||||
\(999\) | −5.58257 | + | 2.37520i | −0.176625 | + | 0.0751480i |
(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 | 129.2.j.a.113.8 | yes | 72 | |
3.2 | odd | 2 | inner | 129.2.j.a.113.5 | yes | 72 | |
43.8 | odd | 14 | inner | 129.2.j.a.8.5 | ✓ | 72 | |
129.8 | even | 14 | inner | 129.2.j.a.8.8 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
129.2.j.a.8.5 | ✓ | 72 | 43.8 | odd | 14 | inner | |
129.2.j.a.8.8 | yes | 72 | 129.8 | even | 14 | inner | |
129.2.j.a.113.5 | yes | 72 | 3.2 | odd | 2 | inner | |
129.2.j.a.113.8 | yes | 72 | 1.1 | even | 1 | trivial |