Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [171,2,Mod(14,171)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(171, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([15, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("171.14");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 171 = 3^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 171.x (of order \(18\), 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: | \(1.36544187456\) |
Analytic rank: | \(0\) |
Dimension: | \(108\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 14.14 | ||
Character | \(\chi\) | \(=\) | 171.14 |
Dual form | 171.2.x.a.110.14 |
$q$-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 \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).
\(n\) | \(20\) | \(154\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{7}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.28121 | + | 1.07506i | 0.905949 | + | 0.760182i | 0.971344 | − | 0.237678i | \(-0.0763862\pi\) |
−0.0653946 | + | 0.997859i | \(0.520831\pi\) | |||||||
\(3\) | 0.658438 | + | 1.60202i | 0.380149 | + | 0.924925i | ||||
\(4\) | 0.138440 | + | 0.785130i | 0.0692198 | + | 0.392565i | ||||
\(5\) | −0.199661 | − | 0.548565i | −0.0892912 | − | 0.245326i | 0.887007 | − | 0.461757i | \(-0.152781\pi\) |
−0.976298 | + | 0.216431i | \(0.930558\pi\) | |||||||
\(6\) | −0.878670 | + | 2.76037i | −0.358715 | + | 1.12692i | ||||
\(7\) | −1.25763 | + | 2.17828i | −0.475341 | + | 0.823314i | −0.999601 | − | 0.0282440i | \(-0.991008\pi\) |
0.524261 | + | 0.851558i | \(0.324342\pi\) | |||||||
\(8\) | 1.00580 | − | 1.74210i | 0.355605 | − | 0.615927i | ||||
\(9\) | −2.13292 | + | 2.10966i | −0.710973 | + | 0.703219i | ||||
\(10\) | 0.333933 | − | 0.917472i | 0.105599 | − | 0.290130i | ||||
\(11\) | − | 0.404547i | − | 0.121975i | −0.998139 | − | 0.0609877i | \(-0.980575\pi\) | ||
0.998139 | − | 0.0609877i | \(-0.0194250\pi\) | |||||||
\(12\) | −1.16664 | + | 0.738742i | −0.336779 | + | 0.213256i | ||||
\(13\) | 2.33106 | − | 6.40453i | 0.646519 | − | 1.77630i | 0.0163159 | − | 0.999867i | \(-0.494806\pi\) |
0.630203 | − | 0.776430i | \(-0.282972\pi\) | |||||||
\(14\) | −3.95307 | + | 1.43880i | −1.05650 | + | 0.384536i | ||||
\(15\) | 0.747346 | − | 0.681056i | 0.192964 | − | 0.175848i | ||||
\(16\) | 4.65983 | − | 1.69604i | 1.16496 | − | 0.424010i | ||||
\(17\) | 1.57381 | + | 4.32400i | 0.381704 | + | 1.04872i | 0.970639 | + | 0.240542i | \(0.0773253\pi\) |
−0.588935 | + | 0.808181i | \(0.700452\pi\) | |||||||
\(18\) | −5.00072 | + | 0.409890i | −1.17868 | + | 0.0966119i | ||||
\(19\) | −3.47008 | − | 2.63790i | −0.796091 | − | 0.605176i | ||||
\(20\) | 0.403054 | − | 0.232703i | 0.0901255 | − | 0.0520340i | ||||
\(21\) | −4.31772 | − | 0.580486i | −0.942204 | − | 0.126672i | ||||
\(22\) | 0.434912 | − | 0.518308i | 0.0927235 | − | 0.110504i | ||||
\(23\) | −6.06451 | + | 1.06934i | −1.26454 | + | 0.222972i | −0.765403 | − | 0.643552i | \(-0.777460\pi\) |
−0.499136 | + | 0.866524i | \(0.666349\pi\) | |||||||
\(24\) | 3.45314 | + | 0.464249i | 0.704869 | + | 0.0947644i | ||||
\(25\) | 3.56916 | − | 2.99488i | 0.713833 | − | 0.598977i | ||||
\(26\) | 9.87182 | − | 5.69950i | 1.93602 | − | 1.11776i | ||||
\(27\) | −4.78410 | − | 2.02790i | −0.920701 | − | 0.390269i | ||||
\(28\) | −1.88434 | − | 0.685845i | −0.356107 | − | 0.129612i | ||||
\(29\) | 0.264049 | + | 1.49750i | 0.0490327 | + | 0.278078i | 0.999460 | − | 0.0328698i | \(-0.0104647\pi\) |
−0.950427 | + | 0.310948i | \(0.899354\pi\) | |||||||
\(30\) | 1.68968 | − | 0.0691324i | 0.308492 | − | 0.0126218i | ||||
\(31\) | 2.99963i | 0.538750i | 0.963035 | + | 0.269375i | \(0.0868171\pi\) | ||||
−0.963035 | + | 0.269375i | \(0.913183\pi\) | |||||||
\(32\) | 4.01296 | + | 1.46060i | 0.709398 | + | 0.258200i | ||||
\(33\) | 0.648091 | − | 0.266369i | 0.112818 | − | 0.0463689i | ||||
\(34\) | −2.63218 | + | 7.23187i | −0.451416 | + | 1.24025i | ||||
\(35\) | 1.44603 | + | 0.254974i | 0.244424 | + | 0.0430985i | ||||
\(36\) | −1.95164 | − | 1.38256i | −0.325273 | − | 0.230427i | ||||
\(37\) | − | 7.01209i | − | 1.15278i | −0.817175 | − | 0.576390i | \(-0.804461\pi\) | ||
0.817175 | − | 0.576390i | \(-0.195539\pi\) | |||||||
\(38\) | −1.60999 | − | 7.11024i | −0.261174 | − | 1.15343i | ||||
\(39\) | 11.7950 | − | 0.482587i | 1.88872 | − | 0.0772758i | ||||
\(40\) | −1.15648 | − | 0.203918i | −0.182855 | − | 0.0322423i | ||||
\(41\) | 3.94971 | + | 3.31420i | 0.616841 | + | 0.517591i | 0.896809 | − | 0.442418i | \(-0.145879\pi\) |
−0.279968 | + | 0.960009i | \(0.590324\pi\) | |||||||
\(42\) | −4.90783 | − | 5.38553i | −0.757295 | − | 0.831005i | ||||
\(43\) | −0.105574 | + | 0.598738i | −0.0160998 | + | 0.0913066i | −0.991799 | − | 0.127808i | \(-0.959206\pi\) |
0.975699 | + | 0.219115i | \(0.0703169\pi\) | |||||||
\(44\) | 0.317622 | − | 0.0560053i | 0.0478833 | − | 0.00844312i | ||||
\(45\) | 1.58314 | + | 0.748828i | 0.236001 | + | 0.111629i | ||||
\(46\) | −8.91949 | − | 5.14967i | −1.31511 | − | 0.759278i | ||||
\(47\) | −4.36769 | + | 0.770141i | −0.637093 | + | 0.112337i | −0.482860 | − | 0.875698i | \(-0.660402\pi\) |
−0.154233 | + | 0.988034i | \(0.549291\pi\) | |||||||
\(48\) | 5.78529 | + | 6.34840i | 0.835035 | + | 0.916312i | ||||
\(49\) | 0.336719 | + | 0.583215i | 0.0481028 | + | 0.0833164i | ||||
\(50\) | 7.79251 | 1.10203 | ||||||||
\(51\) | −5.89086 | + | 5.36835i | −0.824886 | + | 0.751719i | ||||
\(52\) | 5.35110 | + | 0.943543i | 0.742064 | + | 0.130846i | ||||
\(53\) | −2.63029 | + | 2.20707i | −0.361297 | + | 0.303165i | −0.805308 | − | 0.592857i | \(-0.798000\pi\) |
0.444010 | + | 0.896022i | \(0.353555\pi\) | |||||||
\(54\) | −3.94931 | − | 7.74135i | −0.537433 | − | 1.05346i | ||||
\(55\) | −0.221920 | + | 0.0807723i | −0.0299237 | + | 0.0108913i | ||||
\(56\) | 2.52986 | + | 4.38185i | 0.338067 | + | 0.585550i | ||||
\(57\) | 1.94113 | − | 7.29603i | 0.257110 | − | 0.966382i | ||||
\(58\) | −1.27160 | + | 2.20247i | −0.166969 | + | 0.289198i | ||||
\(59\) | −1.31593 | + | 7.46301i | −0.171320 | + | 0.971602i | 0.770987 | + | 0.636851i | \(0.219763\pi\) |
−0.942307 | + | 0.334751i | \(0.891348\pi\) | |||||||
\(60\) | 0.638180 | + | 0.492479i | 0.0823887 | + | 0.0635787i | ||||
\(61\) | −10.7552 | − | 3.91458i | −1.37706 | − | 0.501211i | −0.455778 | − | 0.890094i | \(-0.650639\pi\) |
−0.921287 | + | 0.388883i | \(0.872861\pi\) | |||||||
\(62\) | −3.22478 | + | 3.84315i | −0.409548 | + | 0.488080i | ||||
\(63\) | −1.91300 | − | 7.29928i | −0.241016 | − | 0.919623i | ||||
\(64\) | −1.38769 | − | 2.40355i | −0.173461 | − | 0.300443i | ||||
\(65\) | −3.97872 | −0.493500 | ||||||||
\(66\) | 1.11670 | + | 0.355463i | 0.137456 | + | 0.0437545i | ||||
\(67\) | 1.54091 | + | 1.83638i | 0.188252 | + | 0.224349i | 0.851913 | − | 0.523684i | \(-0.175443\pi\) |
−0.663661 | + | 0.748033i | \(0.730998\pi\) | |||||||
\(68\) | −3.17702 | + | 1.83425i | −0.385271 | + | 0.222436i | ||||
\(69\) | −5.70620 | − | 9.01136i | −0.686946 | − | 1.08484i | ||||
\(70\) | 1.57855 | + | 1.88124i | 0.188673 | + | 0.224852i | ||||
\(71\) | 5.10921 | + | 4.28714i | 0.606352 | + | 0.508790i | 0.893480 | − | 0.449102i | \(-0.148256\pi\) |
−0.287128 | + | 0.957892i | \(0.592701\pi\) | |||||||
\(72\) | 1.52994 | + | 5.83767i | 0.180305 | + | 0.687976i | ||||
\(73\) | −2.34660 | + | 13.3082i | −0.274649 | + | 1.55761i | 0.465426 | + | 0.885087i | \(0.345901\pi\) |
−0.740075 | + | 0.672524i | \(0.765210\pi\) | |||||||
\(74\) | 7.53841 | − | 8.98393i | 0.876323 | − | 1.04436i | ||||
\(75\) | 7.14793 | + | 3.74592i | 0.825372 | + | 0.432541i | ||||
\(76\) | 1.59070 | − | 3.08966i | 0.182466 | − | 0.354408i | ||||
\(77\) | 0.881218 | + | 0.508771i | 0.100424 | + | 0.0579799i | ||||
\(78\) | 15.6307 | + | 12.0621i | 1.76982 | + | 1.36576i | ||||
\(79\) | −0.472257 | − | 1.29752i | −0.0531331 | − | 0.145982i | 0.910287 | − | 0.413978i | \(-0.135861\pi\) |
−0.963420 | + | 0.267996i | \(0.913639\pi\) | |||||||
\(80\) | −1.86078 | − | 2.21759i | −0.208041 | − | 0.247934i | ||||
\(81\) | 0.0986944 | − | 8.99946i | 0.0109660 | − | 0.999940i | ||||
\(82\) | 1.49743 | + | 8.49234i | 0.165363 | + | 0.937822i | ||||
\(83\) | −11.3968 | − | 6.57996i | −1.25096 | − | 0.722245i | −0.279664 | − | 0.960098i | \(-0.590223\pi\) |
−0.971301 | + | 0.237853i | \(0.923556\pi\) | |||||||
\(84\) | −0.141987 | − | 3.47034i | −0.0154920 | − | 0.378645i | ||||
\(85\) | 2.05776 | − | 1.72667i | 0.223196 | − | 0.187284i | ||||
\(86\) | −0.778940 | + | 0.653608i | −0.0839953 | + | 0.0704804i | ||||
\(87\) | −2.22516 | + | 1.40902i | −0.238562 | + | 0.151063i | ||||
\(88\) | −0.704762 | − | 0.406895i | −0.0751279 | − | 0.0433751i | ||||
\(89\) | −1.53648 | − | 8.71380i | −0.162866 | − | 0.923661i | −0.951237 | − | 0.308461i | \(-0.900186\pi\) |
0.788371 | − | 0.615201i | \(-0.210925\pi\) | |||||||
\(90\) | 1.22330 | + | 2.66138i | 0.128947 | + | 0.280534i | ||||
\(91\) | 11.0193 | + | 13.1323i | 1.15513 | + | 1.37663i | ||||
\(92\) | −1.67914 | − | 4.61339i | −0.175062 | − | 0.480979i | ||||
\(93\) | −4.80547 | + | 1.97507i | −0.498304 | + | 0.204805i | ||||
\(94\) | −6.42386 | − | 3.70882i | −0.662570 | − | 0.382535i | ||||
\(95\) | −0.754220 | + | 2.43025i | −0.0773813 | + | 0.249339i | ||||
\(96\) | 0.302380 | + | 7.39055i | 0.0308616 | + | 0.754295i | ||||
\(97\) | −2.35590 | + | 2.80765i | −0.239206 | + | 0.285074i | −0.872270 | − | 0.489025i | \(-0.837353\pi\) |
0.633064 | + | 0.774099i | \(0.281797\pi\) | |||||||
\(98\) | −0.195584 | + | 1.10921i | −0.0197570 | + | 0.112047i | ||||
\(99\) | 0.853455 | + | 0.862866i | 0.0857754 | + | 0.0867213i | ||||
\(100\) | 2.84549 | + | 2.38765i | 0.284549 | + | 0.238765i | ||||
\(101\) | 5.71285 | + | 6.80830i | 0.568449 | + | 0.677452i | 0.971312 | − | 0.237809i | \(-0.0764292\pi\) |
−0.402863 | + | 0.915260i | \(0.631985\pi\) | |||||||
\(102\) | −13.3187 | + | 0.544928i | −1.31875 | + | 0.0539559i | ||||
\(103\) | −0.240253 | + | 0.138710i | −0.0236728 | + | 0.0136675i | −0.511790 | − | 0.859111i | \(-0.671017\pi\) |
0.488117 | + | 0.872778i | \(0.337684\pi\) | |||||||
\(104\) | −8.81277 | − | 10.5026i | −0.864163 | − | 1.02987i | ||||
\(105\) | 0.543648 | + | 2.48445i | 0.0530546 | + | 0.242458i | ||||
\(106\) | −5.74267 | −0.557777 | ||||||||
\(107\) | 2.99056 | + | 5.17980i | 0.289108 | + | 0.500750i | 0.973597 | − | 0.228273i | \(-0.0733079\pi\) |
−0.684489 | + | 0.729023i | \(0.739975\pi\) | |||||||
\(108\) | 0.929854 | − | 4.03688i | 0.0894752 | − | 0.388449i | ||||
\(109\) | 5.96323 | − | 7.10670i | 0.571174 | − | 0.680698i | −0.400698 | − | 0.916210i | \(-0.631232\pi\) |
0.971871 | + | 0.235512i | \(0.0756767\pi\) | |||||||
\(110\) | −0.371160 | − | 0.135091i | −0.0353888 | − | 0.0128805i | ||||
\(111\) | 11.2335 | − | 4.61702i | 1.06624 | − | 0.438228i | ||||
\(112\) | −2.16590 | + | 12.2834i | −0.204658 | + | 1.16068i | ||||
\(113\) | −10.0435 | + | 17.3958i | −0.944812 | + | 1.63646i | −0.188684 | + | 0.982038i | \(0.560422\pi\) |
−0.756128 | + | 0.654424i | \(0.772911\pi\) | |||||||
\(114\) | 10.3307 | − | 7.26088i | 0.967555 | − | 0.680044i | ||||
\(115\) | 1.79745 | + | 3.11327i | 0.167613 | + | 0.290314i | ||||
\(116\) | −1.13917 | + | 0.414626i | −0.105770 | + | 0.0384970i | ||||
\(117\) | 8.53940 | + | 18.5781i | 0.789468 | + | 1.71754i | ||||
\(118\) | −9.70916 | + | 8.14695i | −0.893801 | + | 0.749988i | ||||
\(119\) | −11.3982 | − | 2.00980i | −1.04487 | − | 0.184238i | ||||
\(120\) | −0.434787 | − | 1.98696i | −0.0396905 | − | 0.181384i | ||||
\(121\) | 10.8363 | 0.985122 | ||||||||
\(122\) | −9.57125 | − | 16.5779i | −0.866540 | − | 1.50089i | ||||
\(123\) | −2.70877 | + | 8.50970i | −0.244241 | + | 0.767293i | ||||
\(124\) | −2.35510 | + | 0.415268i | −0.211494 | + | 0.0372922i | ||||
\(125\) | −4.88331 | − | 2.81938i | −0.436777 | − | 0.252173i | ||||
\(126\) | 5.39621 | − | 11.4085i | 0.480733 | − | 1.01635i | ||||
\(127\) | 14.8487 | − | 2.61823i | 1.31761 | − | 0.232331i | 0.529735 | − | 0.848163i | \(-0.322291\pi\) |
0.787877 | + | 0.615833i | \(0.211180\pi\) | |||||||
\(128\) | 2.28917 | − | 12.9825i | 0.202336 | − | 1.14751i | ||||
\(129\) | −1.02870 | + | 0.225101i | −0.0905721 | + | 0.0198190i | ||||
\(130\) | −5.09756 | − | 4.27736i | −0.447086 | − | 0.375149i | ||||
\(131\) | 8.30606 | + | 1.46458i | 0.725704 | + | 0.127961i | 0.524283 | − | 0.851544i | \(-0.324333\pi\) |
0.201420 | + | 0.979505i | \(0.435444\pi\) | |||||||
\(132\) | 0.298856 | + | 0.471960i | 0.0260120 | + | 0.0410788i | ||||
\(133\) | 10.1102 | − | 4.24131i | 0.876665 | − | 0.367768i | ||||
\(134\) | 4.00935i | 0.346355i | ||||||||
\(135\) | −0.157233 | + | 3.02928i | −0.0135325 | + | 0.260719i | ||||
\(136\) | 9.11579 | + | 1.60736i | 0.781672 | + | 0.137830i | ||||
\(137\) | 5.33163 | − | 14.6485i | 0.455512 | − | 1.25151i | −0.473281 | − | 0.880911i | \(-0.656931\pi\) |
0.928793 | − | 0.370598i | \(-0.120847\pi\) | |||||||
\(138\) | 2.37693 | − | 17.6799i | 0.202338 | − | 1.50501i | ||||
\(139\) | 5.28626 | + | 1.92404i | 0.448375 | + | 0.163195i | 0.556331 | − | 0.830961i | \(-0.312209\pi\) |
−0.107957 | + | 0.994156i | \(0.534431\pi\) | |||||||
\(140\) | 1.17062i | 0.0989355i | ||||||||
\(141\) | −4.10963 | − | 6.49002i | −0.346093 | − | 0.546559i | ||||
\(142\) | 1.93703 | + | 10.9854i | 0.162552 | + | 0.921876i | ||||
\(143\) | −2.59093 | − | 0.943022i | −0.216665 | − | 0.0788595i | ||||
\(144\) | −6.36098 | + | 13.4482i | −0.530082 | + | 1.12068i | ||||
\(145\) | 0.768753 | − | 0.443840i | 0.0638415 | − | 0.0368589i | ||||
\(146\) | −17.3136 | + | 14.5279i | −1.43289 | + | 1.20233i | ||||
\(147\) | −0.712612 | + | 0.923441i | −0.0587752 | + | 0.0761641i | ||||
\(148\) | 5.50540 | − | 0.970751i | 0.452541 | − | 0.0797952i | ||||
\(149\) | 13.0336 | − | 15.5328i | 1.06775 | − | 1.27250i | 0.107251 | − | 0.994232i | \(-0.465795\pi\) |
0.960503 | − | 0.278268i | \(-0.0897605\pi\) | |||||||
\(150\) | 5.13088 | + | 12.4837i | 0.418935 | + | 1.01929i | ||||
\(151\) | −0.772652 | + | 0.446091i | −0.0628775 | + | 0.0363023i | −0.531109 | − | 0.847303i | \(-0.678225\pi\) |
0.468232 | + | 0.883606i | \(0.344891\pi\) | |||||||
\(152\) | −8.08572 | + | 3.39203i | −0.655839 | + | 0.275130i | ||||
\(153\) | −12.4790 | − | 5.90255i | −1.00886 | − | 0.477193i | ||||
\(154\) | 0.582062 | + | 1.59920i | 0.0469039 | + | 0.128867i | ||||
\(155\) | 1.64549 | − | 0.598911i | 0.132169 | − | 0.0481057i | ||||
\(156\) | 2.01179 | + | 9.19382i | 0.161072 | + | 0.736095i | ||||
\(157\) | −6.33046 | + | 2.30410i | −0.505226 | + | 0.183887i | −0.582043 | − | 0.813158i | \(-0.697746\pi\) |
0.0768172 | + | 0.997045i | \(0.475524\pi\) | |||||||
\(158\) | 0.789848 | − | 2.17009i | 0.0628369 | − | 0.172643i | ||||
\(159\) | −5.26765 | − | 2.76054i | −0.417751 | − | 0.218925i | ||||
\(160\) | − | 2.49299i | − | 0.197089i | ||||||
\(161\) | 5.29761 | − | 14.5551i | 0.417510 | − | 1.14710i | ||||
\(162\) | 9.80140 | − | 11.4241i | 0.770071 | − | 0.897559i | ||||
\(163\) | 7.41814 | − | 12.8486i | 0.581034 | − | 1.00638i | −0.414323 | − | 0.910130i | \(-0.635982\pi\) |
0.995357 | − | 0.0962505i | \(-0.0306850\pi\) | |||||||
\(164\) | −2.05528 | + | 3.55985i | −0.160491 | + | 0.277978i | ||||
\(165\) | −0.275519 | − | 0.302336i | −0.0214491 | − | 0.0235369i | ||||
\(166\) | −7.52784 | − | 20.6826i | −0.584273 | − | 1.60528i | ||||
\(167\) | 0.834702 | + | 4.73383i | 0.0645912 | + | 0.366315i | 0.999921 | + | 0.0125388i | \(0.00399133\pi\) |
−0.935330 | + | 0.353776i | \(0.884898\pi\) | |||||||
\(168\) | −5.35405 | + | 6.93806i | −0.413074 | + | 0.535283i | ||||
\(169\) | −25.6256 | − | 21.5024i | −1.97120 | − | 1.65403i | ||||
\(170\) | 4.49269 | 0.344574 | ||||||||
\(171\) | 12.9665 | − | 1.69425i | 0.991571 | − | 0.129562i | ||||
\(172\) | −0.484702 | −0.0369582 | ||||||||
\(173\) | −6.00586 | − | 5.03951i | −0.456617 | − | 0.383147i | 0.385268 | − | 0.922805i | \(-0.374109\pi\) |
−0.841884 | + | 0.539658i | \(0.818554\pi\) | |||||||
\(174\) | −4.36566 | − | 0.586931i | −0.330960 | − | 0.0444951i | ||||
\(175\) | 2.03501 | + | 11.5411i | 0.153832 | + | 0.872426i | ||||
\(176\) | −0.686127 | − | 1.88512i | −0.0517188 | − | 0.142096i | ||||
\(177\) | −12.8223 | + | 2.80578i | −0.963786 | + | 0.210896i | ||||
\(178\) | 7.39931 | − | 12.8160i | 0.554602 | − | 0.960599i | ||||
\(179\) | −0.189879 | + | 0.328881i | −0.0141923 | + | 0.0245817i | −0.873034 | − | 0.487659i | \(-0.837851\pi\) |
0.858842 | + | 0.512240i | \(0.171184\pi\) | |||||||
\(180\) | −0.368757 | + | 1.34664i | −0.0274856 | + | 0.100373i | ||||
\(181\) | −4.35197 | + | 11.9569i | −0.323479 | + | 0.888752i | 0.666241 | + | 0.745736i | \(0.267902\pi\) |
−0.989720 | + | 0.143015i | \(0.954320\pi\) | |||||||
\(182\) | 28.6715i | 2.12527i | ||||||||
\(183\) | −0.810416 | − | 19.8076i | −0.0599076 | − | 1.46422i | ||||
\(184\) | −4.23681 | + | 11.6406i | −0.312342 | + | 0.858153i | ||||
\(185\) | −3.84658 | + | 1.40004i | −0.282807 | + | 0.102933i | ||||
\(186\) | −8.28011 | − | 2.63569i | −0.607127 | − | 0.193258i | ||||
\(187\) | 1.74926 | − | 0.636678i | 0.127918 | − | 0.0465585i | ||||
\(188\) | −1.20932 | − | 3.32259i | −0.0881989 | − | 0.242325i | ||||
\(189\) | 10.4340 | − | 7.87078i | 0.758960 | − | 0.572515i | ||||
\(190\) | −3.57898 | + | 2.30282i | −0.259646 | + | 0.167064i | ||||
\(191\) | 16.9778 | − | 9.80211i | 1.22847 | − | 0.709256i | 0.261758 | − | 0.965134i | \(-0.415698\pi\) |
0.966709 | + | 0.255878i | \(0.0823645\pi\) | |||||||
\(192\) | 2.93682 | − | 3.80569i | 0.211946 | − | 0.274652i | ||||
\(193\) | 0.0560858 | − | 0.0668404i | 0.00403714 | − | 0.00481128i | −0.764022 | − | 0.645190i | \(-0.776778\pi\) |
0.768059 | + | 0.640379i | \(0.221223\pi\) | |||||||
\(194\) | −6.03679 | + | 1.06445i | −0.433416 | + | 0.0764230i | ||||
\(195\) | −2.61974 | − | 6.37398i | −0.187603 | − | 0.456450i | ||||
\(196\) | −0.411284 | + | 0.345108i | −0.0293774 | + | 0.0246506i | ||||
\(197\) | 12.6355 | − | 7.29511i | 0.900242 | − | 0.519755i | 0.0229632 | − | 0.999736i | \(-0.492690\pi\) |
0.877279 | + | 0.479981i | \(0.159357\pi\) | |||||||
\(198\) | 0.165819 | + | 2.02302i | 0.0117843 | + | 0.143770i | ||||
\(199\) | 8.66420 | + | 3.15351i | 0.614189 | + | 0.223547i | 0.630335 | − | 0.776323i | \(-0.282917\pi\) |
−0.0161461 | + | 0.999870i | \(0.505140\pi\) | |||||||
\(200\) | −1.62752 | − | 9.23012i | −0.115083 | − | 0.652668i | ||||
\(201\) | −1.92732 | + | 3.67770i | −0.135943 | + | 0.259405i | ||||
\(202\) | 14.8645i | 1.04586i | ||||||||
\(203\) | −3.59405 | − | 1.30813i | −0.252253 | − | 0.0918125i | ||||
\(204\) | −5.03038 | − | 3.88190i | −0.352197 | − | 0.271788i | ||||
\(205\) | 1.02945 | − | 2.82839i | 0.0718998 | − | 0.197543i | ||||
\(206\) | −0.456935 | − | 0.0805699i | −0.0318362 | − | 0.00561357i | ||||
\(207\) | 10.6792 | − | 15.0749i | 0.742255 | − | 1.04777i | ||||
\(208\) | − | 33.7976i | − | 2.34344i | ||||||
\(209\) | −1.06716 | + | 1.40381i | −0.0738167 | + | 0.0971036i | ||||
\(210\) | −1.97441 | + | 3.76755i | −0.136247 | + | 0.259985i | ||||
\(211\) | −6.98414 | − | 1.23149i | −0.480808 | − | 0.0847794i | −0.0720091 | − | 0.997404i | \(-0.522941\pi\) |
−0.408799 | + | 0.912625i | \(0.634052\pi\) | |||||||
\(212\) | −2.09697 | − | 1.75957i | −0.144021 | − | 0.120848i | ||||
\(213\) | −3.50397 | + | 11.0079i | −0.240088 | + | 0.754246i | ||||
\(214\) | −1.73707 | + | 9.85142i | −0.118744 | + | 0.673429i | ||||
\(215\) | 0.349525 | − | 0.0616307i | 0.0238374 | − | 0.00420318i | ||||
\(216\) | −8.34467 | + | 6.29473i | −0.567783 | + | 0.428302i | ||||
\(217\) | −6.53405 | − | 3.77244i | −0.443560 | − | 0.256090i | ||||
\(218\) | 15.2802 | − | 2.69432i | 1.03491 | − | 0.182482i | ||||
\(219\) | −22.8651 | + | 5.00335i | −1.54508 | + | 0.338095i | ||||
\(220\) | −0.0941393 | − | 0.163054i | −0.00634687 | − | 0.0109931i | ||||
\(221\) | 31.3618 | 2.10962 | ||||||||
\(222\) | 19.3560 | + | 6.16131i | 1.29909 | + | 0.413520i | ||||
\(223\) | 13.6087 | + | 2.39958i | 0.911306 | + | 0.160688i | 0.609596 | − | 0.792712i | \(-0.291332\pi\) |
0.301710 | + | 0.953400i | \(0.402443\pi\) | |||||||
\(224\) | −8.22843 | + | 6.90448i | −0.549785 | + | 0.461325i | ||||
\(225\) | −1.29456 | + | 13.9176i | −0.0863041 | + | 0.927837i | ||||
\(226\) | −31.5693 | + | 11.4903i | −2.09996 | + | 0.764323i | ||||
\(227\) | 4.85622 | + | 8.41122i | 0.322319 | + | 0.558272i | 0.980966 | − | 0.194179i | \(-0.0622044\pi\) |
−0.658647 | + | 0.752452i | \(0.728871\pi\) | |||||||
\(228\) | 5.99706 | + | 0.513984i | 0.397165 | + | 0.0340394i | ||||
\(229\) | 1.12422 | − | 1.94720i | 0.0742903 | − | 0.128675i | −0.826487 | − | 0.562956i | \(-0.809664\pi\) |
0.900777 | + | 0.434281i | \(0.142998\pi\) | |||||||
\(230\) | −1.04405 | + | 5.92111i | −0.0688427 | + | 0.390426i | ||||
\(231\) | −0.234834 | + | 1.74672i | −0.0154509 | + | 0.114926i | ||||
\(232\) | 2.87437 | + | 1.04619i | 0.188712 | + | 0.0686855i | ||||
\(233\) | −18.5722 | + | 22.1335i | −1.21671 | + | 1.45002i | −0.360992 | + | 0.932569i | \(0.617562\pi\) |
−0.855715 | + | 0.517447i | \(0.826882\pi\) | |||||||
\(234\) | −9.03181 | + | 32.9827i | −0.590428 | + | 2.15615i | ||||
\(235\) | 1.29453 | + | 2.24219i | 0.0844459 | + | 0.146265i | ||||
\(236\) | −6.04161 | −0.393275 | ||||||||
\(237\) | 1.76769 | − | 1.61090i | 0.114824 | − | 0.104639i | ||||
\(238\) | −12.4427 | − | 14.8287i | −0.806543 | − | 0.961200i | ||||
\(239\) | −8.75151 | + | 5.05269i | −0.566088 | + | 0.326831i | −0.755585 | − | 0.655050i | \(-0.772647\pi\) |
0.189497 | + | 0.981881i | \(0.439314\pi\) | |||||||
\(240\) | 2.32741 | − | 4.44114i | 0.150233 | − | 0.286674i | ||||
\(241\) | −4.27935 | − | 5.09993i | −0.275657 | − | 0.328516i | 0.610398 | − | 0.792095i | \(-0.291009\pi\) |
−0.886056 | + | 0.463579i | \(0.846565\pi\) | |||||||
\(242\) | 13.8836 | + | 11.6497i | 0.892471 | + | 0.748872i | ||||
\(243\) | 14.4823 | − | 5.76747i | 0.929038 | − | 0.369983i | ||||
\(244\) | 1.58451 | − | 8.98618i | 0.101438 | − | 0.575281i | ||||
\(245\) | 0.252701 | − | 0.301158i | 0.0161445 | − | 0.0192403i | ||||
\(246\) | −12.6189 | + | 7.99059i | −0.804553 | + | 0.509461i | ||||
\(247\) | −24.9835 | + | 16.0751i | −1.58966 | + | 1.02284i | ||||
\(248\) | 5.22567 | + | 3.01704i | 0.331830 | + | 0.191582i | ||||
\(249\) | 3.03711 | − | 22.5904i | 0.192469 | − | 1.43161i | ||||
\(250\) | −3.22553 | − | 8.86206i | −0.204000 | − | 0.560486i | ||||
\(251\) | 12.9843 | + | 15.4741i | 0.819561 | + | 0.976714i | 0.999976 | − | 0.00687624i | \(-0.00218879\pi\) |
−0.180416 | + | 0.983590i | \(0.557744\pi\) | |||||||
\(252\) | 5.46605 | − | 2.51246i | 0.344329 | − | 0.158270i | ||||
\(253\) | 0.432597 | + | 2.45338i | 0.0271971 | + | 0.154243i | ||||
\(254\) | 21.8390 | + | 12.6088i | 1.37030 | + | 0.791145i | ||||
\(255\) | 4.12106 | + | 2.15967i | 0.258071 | + | 0.135244i | ||||
\(256\) | 12.6378 | − | 10.6044i | 0.789861 | − | 0.662772i | ||||
\(257\) | −12.8250 | + | 10.7615i | −0.800004 | + | 0.671283i | −0.948200 | − | 0.317675i | \(-0.897098\pi\) |
0.148196 | + | 0.988958i | \(0.452654\pi\) | |||||||
\(258\) | −1.55998 | − | 0.817515i | −0.0971198 | − | 0.0508963i | ||||
\(259\) | 15.2743 | + | 8.81863i | 0.949100 | + | 0.547963i | ||||
\(260\) | −0.550813 | − | 3.12381i | −0.0341600 | − | 0.193731i | ||||
\(261\) | −3.72240 | − | 2.63699i | −0.230411 | − | 0.163225i | ||||
\(262\) | 9.06726 | + | 10.8059i | 0.560177 | + | 0.667593i | ||||
\(263\) | 0.131317 | + | 0.360791i | 0.00809736 | + | 0.0222473i | 0.943675 | − | 0.330873i | \(-0.107343\pi\) |
−0.935578 | + | 0.353120i | \(0.885121\pi\) | |||||||
\(264\) | 0.187810 | − | 1.39696i | 0.0115589 | − | 0.0859767i | ||||
\(265\) | 1.73589 | + | 1.00222i | 0.106635 | + | 0.0615656i | ||||
\(266\) | 17.5129 | + | 5.43506i | 1.07378 | + | 0.333245i | ||||
\(267\) | 12.9480 | − | 8.19896i | 0.792404 | − | 0.501768i | ||||
\(268\) | −1.22847 | + | 1.46404i | −0.0750410 | + | 0.0894304i | ||||
\(269\) | 5.48235 | − | 31.0919i | 0.334265 | − | 1.89571i | −0.100110 | − | 0.994976i | \(-0.531920\pi\) |
0.434375 | − | 0.900732i | \(-0.356969\pi\) | |||||||
\(270\) | −3.45811 | + | 3.71210i | −0.210454 | + | 0.225911i | ||||
\(271\) | −7.01972 | − | 5.89025i | −0.426418 | − | 0.357807i | 0.404180 | − | 0.914679i | \(-0.367557\pi\) |
−0.830598 | + | 0.556872i | \(0.812001\pi\) | |||||||
\(272\) | 14.6673 | + | 17.4799i | 0.889338 | + | 1.05987i | ||||
\(273\) | −13.7826 | + | 26.2998i | −0.834161 | + | 1.59174i | ||||
\(274\) | 22.5790 | − | 13.0360i | 1.36405 | − | 0.787532i | ||||
\(275\) | −1.21157 | − | 1.44389i | −0.0730604 | − | 0.0870700i | ||||
\(276\) | 6.28513 | − | 5.72764i | 0.378320 | − | 0.344763i | ||||
\(277\) | 12.7744 | 0.767542 | 0.383771 | − | 0.923428i | \(-0.374625\pi\) | ||||
0.383771 | + | 0.923428i | \(0.374625\pi\) | |||||||
\(278\) | 4.70433 | + | 8.14814i | 0.282147 | + | 0.488693i | ||||
\(279\) | −6.32820 | − | 6.39798i | −0.378859 | − | 0.383037i | ||||
\(280\) | 1.89861 | − | 2.26268i | 0.113464 | − | 0.135221i | ||||
\(281\) | −2.26386 | − | 0.823978i | −0.135051 | − | 0.0491544i | 0.273611 | − | 0.961841i | \(-0.411782\pi\) |
−0.408661 | + | 0.912686i | \(0.634004\pi\) | |||||||
\(282\) | 1.71188 | − | 12.7332i | 0.101941 | − | 0.758248i | ||||
\(283\) | −4.81731 | + | 27.3203i | −0.286359 | + | 1.62402i | 0.414030 | + | 0.910263i | \(0.364121\pi\) |
−0.700390 | + | 0.713761i | \(0.746990\pi\) | |||||||
\(284\) | −2.65864 | + | 4.60491i | −0.157761 | + | 0.273251i | ||||
\(285\) | −4.38991 | + | 0.391896i | −0.260036 | + | 0.0232139i | ||||
\(286\) | −2.30571 | − | 3.99361i | −0.136340 | − | 0.236147i | ||||
\(287\) | −12.1865 | + | 4.43554i | −0.719349 | + | 0.261822i | ||||
\(288\) | −11.6407 | + | 5.35063i | −0.685934 | + | 0.315289i | ||||
\(289\) | −3.19732 | + | 2.68287i | −0.188078 | + | 0.157816i | ||||
\(290\) | 1.46209 | + | 0.257805i | 0.0858566 | + | 0.0151388i | ||||
\(291\) | −6.04913 | − | 1.92553i | −0.354606 | − | 0.112877i | ||||
\(292\) | −10.7736 | −0.630475 | ||||||||
\(293\) | 15.6142 | + | 27.0446i | 0.912193 | + | 1.57996i | 0.810960 | + | 0.585101i | \(0.198945\pi\) |
0.101233 | + | 0.994863i | \(0.467721\pi\) | |||||||
\(294\) | −1.90576 | + | 0.417018i | −0.111146 | + | 0.0243210i | ||||
\(295\) | 4.35669 | − | 0.768201i | 0.253656 | − | 0.0447264i | ||||
\(296\) | −12.2158 | − | 7.05278i | −0.710028 | − | 0.409935i | ||||
\(297\) | −0.820379 | + | 1.93539i | −0.0476032 | + | 0.112303i | ||||
\(298\) | 33.3975 | − | 5.88888i | 1.93466 | − | 0.341133i | ||||
\(299\) | −7.28813 | + | 41.3330i | −0.421483 | + | 2.39035i | ||||
\(300\) | −1.95148 | + | 6.13064i | −0.112669 | + | 0.353952i | ||||
\(301\) | −1.17145 | − | 0.982961i | −0.0675211 | − | 0.0566569i | ||||
\(302\) | −1.46950 | − | 0.259112i | −0.0845602 | − | 0.0149102i | ||||
\(303\) | −7.14547 | + | 13.6349i | −0.410497 | + | 0.783306i | ||||
\(304\) | −20.6440 | − | 6.40679i | −1.18401 | − | 0.367454i | ||||
\(305\) | 6.68152i | 0.382583i | ||||||||
\(306\) | −9.64252 | − | 20.9780i | −0.551226 | − | 1.19923i | ||||
\(307\) | −11.1605 | − | 1.96789i | −0.636961 | − | 0.112313i | −0.154164 | − | 0.988045i | \(-0.549268\pi\) |
−0.482798 | + | 0.875732i | \(0.660379\pi\) | |||||||
\(308\) | −0.277456 | + | 0.762305i | −0.0158095 | + | 0.0434363i | ||||
\(309\) | −0.380407 | − | 0.293557i | −0.0216406 | − | 0.0166999i | ||||
\(310\) | 2.75208 | + | 1.00168i | 0.156308 | + | 0.0568913i | ||||
\(311\) | − | 24.3216i | − | 1.37915i | −0.724214 | − | 0.689576i | \(-0.757797\pi\) | ||
0.724214 | − | 0.689576i | \(-0.242203\pi\) | |||||||
\(312\) | 11.0228 | − | 21.0335i | 0.624041 | − | 1.19079i | ||||
\(313\) | −2.25649 | − | 12.7972i | −0.127545 | − | 0.723341i | −0.979764 | − | 0.200157i | \(-0.935855\pi\) |
0.852219 | − | 0.523185i | \(-0.175256\pi\) | |||||||
\(314\) | −10.5877 | − | 3.85360i | −0.597497 | − | 0.217471i | ||||
\(315\) | −3.62217 | + | 2.50679i | −0.204086 | + | 0.141242i | ||||
\(316\) | 0.953339 | − | 0.550411i | 0.0536295 | − | 0.0309630i | ||||
\(317\) | 2.68688 | − | 2.25456i | 0.150910 | − | 0.126629i | −0.564207 | − | 0.825634i | \(-0.690818\pi\) |
0.715117 | + | 0.699005i | \(0.246373\pi\) | |||||||
\(318\) | −3.78119 | − | 9.19986i | −0.212039 | − | 0.515902i | ||||
\(319\) | 0.605807 | − | 0.106820i | 0.0339187 | − | 0.00598078i | ||||
\(320\) | −1.04143 | + | 1.24113i | −0.0582179 | + | 0.0693814i | ||||
\(321\) | −6.32903 | + | 8.20150i | −0.353252 | + | 0.457763i | ||||
\(322\) | 22.4349 | − | 12.9528i | 1.25025 | − | 0.721831i | ||||
\(323\) | 5.94505 | − | 19.1562i | 0.330791 | − | 1.06588i | ||||
\(324\) | 7.07941 | − | 1.16839i | 0.393301 | − | 0.0649108i | ||||
\(325\) | −10.8609 | − | 29.8401i | −0.602454 | − | 1.65523i | ||||
\(326\) | 23.3172 | − | 8.48676i | 1.29142 | − | 0.470038i | ||||
\(327\) | 15.3115 | + | 4.87388i | 0.846726 | + | 0.269526i | ||||
\(328\) | 9.74631 | − | 3.54737i | 0.538150 | − | 0.195871i | ||||
\(329\) | 3.81536 | − | 10.4826i | 0.210348 | − | 0.577926i | ||||
\(330\) | −0.0279673 | − | 0.683555i | −0.00153955 | − | 0.0376284i | ||||
\(331\) | 14.5165i | 0.797901i | 0.916973 | + | 0.398950i | \(0.130625\pi\) | ||||
−0.916973 | + | 0.398950i | \(0.869375\pi\) | |||||||
\(332\) | 3.58835 | − | 9.85892i | 0.196937 | − | 0.541079i | ||||
\(333\) | 14.7931 | + | 14.9562i | 0.810657 | + | 0.819596i | ||||
\(334\) | −4.01972 | + | 6.96236i | −0.219949 | + | 0.380964i | ||||
\(335\) | 0.699714 | − | 1.21194i | 0.0382295 | − | 0.0662154i | ||||
\(336\) | −21.1044 | + | 4.61806i | −1.15134 | + | 0.251936i | ||||
\(337\) | −3.62311 | − | 9.95441i | −0.197363 | − | 0.542251i | 0.801048 | − | 0.598600i | \(-0.204276\pi\) |
−0.998411 | + | 0.0563492i | \(0.982054\pi\) | |||||||
\(338\) | −9.71528 | − | 55.0981i | −0.528441 | − | 2.99694i | ||||
\(339\) | −34.4814 | − | 4.63577i | −1.87277 | − | 0.251781i | ||||
\(340\) | 1.64054 | + | 1.37657i | 0.0889705 | + | 0.0746551i | ||||
\(341\) | 1.21349 | 0.0657143 | ||||||||
\(342\) | 18.4341 | + | 11.7691i | 0.996804 | + | 0.636398i | ||||
\(343\) | −19.3007 | −1.04214 | ||||||||
\(344\) | 0.936876 | + | 0.786133i | 0.0505130 | + | 0.0423854i | ||||
\(345\) | −3.80401 | + | 4.92944i | −0.204801 | + | 0.265392i | ||||
\(346\) | −2.27696 | − | 12.9133i | −0.122410 | − | 0.694224i | ||||
\(347\) | −12.5772 | − | 34.5556i | −0.675179 | − | 1.85504i | −0.488353 | − | 0.872646i | \(-0.662402\pi\) |
−0.186826 | − | 0.982393i | \(-0.559820\pi\) | |||||||
\(348\) | −1.41431 | − | 1.55197i | −0.0758151 | − | 0.0831944i | ||||
\(349\) | −10.4080 | + | 18.0272i | −0.557129 | + | 0.964976i | 0.440606 | + | 0.897701i | \(0.354764\pi\) |
−0.997734 | + | 0.0672748i | \(0.978570\pi\) | |||||||
\(350\) | −9.80012 | + | 16.9743i | −0.523838 | + | 0.907315i | ||||
\(351\) | −24.1398 | + | 25.9128i | −1.28848 | + | 1.38312i | ||||
\(352\) | 0.590881 | − | 1.62343i | 0.0314940 | − | 0.0865292i | ||||
\(353\) | − | 0.532095i | − | 0.0283205i | −0.999900 | − | 0.0141603i | \(-0.995492\pi\) | ||
0.999900 | − | 0.0141603i | \(-0.00450751\pi\) | |||||||
\(354\) | −19.4444 | − | 10.1900i | −1.03346 | − | 0.541592i | ||||
\(355\) | 1.33166 | − | 3.65871i | 0.0706772 | − | 0.194184i | ||||
\(356\) | 6.62876 | − | 2.41267i | 0.351324 | − | 0.127871i | ||||
\(357\) | −4.28524 | − | 19.5834i | −0.226799 | − | 1.03646i | ||||
\(358\) | −0.596841 | + | 0.217232i | −0.0315440 | + | 0.0114811i | ||||
\(359\) | −9.26844 | − | 25.4648i | −0.489170 | − | 1.34398i | −0.901433 | − | 0.432918i | \(-0.857484\pi\) |
0.412264 | − | 0.911064i | \(-0.364738\pi\) | |||||||
\(360\) | 2.89687 | − | 2.00483i | 0.152678 | − | 0.105664i | ||||
\(361\) | 5.08294 | + | 18.3075i | 0.267523 | + | 0.963551i | ||||
\(362\) | −18.4302 | + | 10.6407i | −0.968669 | + | 0.559261i | ||||
\(363\) | 7.13505 | + | 17.3600i | 0.374493 | + | 0.911164i | ||||
\(364\) | −8.78502 | + | 10.4696i | −0.460460 | + | 0.548755i | ||||
\(365\) | 7.76895 | − | 1.36988i | 0.406646 | − | 0.0717026i | ||||
\(366\) | 20.2560 | − | 26.2488i | 1.05880 | − | 1.37205i | ||||
\(367\) | −17.6986 | + | 14.8509i | −0.923857 | + | 0.775208i | −0.974704 | − | 0.223498i | \(-0.928252\pi\) |
0.0508471 | + | 0.998706i | \(0.483808\pi\) | |||||||
\(368\) | −26.4460 | + | 15.2686i | −1.37859 | + | 0.795930i | ||||
\(369\) | −15.4162 | + | 1.26361i | −0.802537 | + | 0.0657809i | ||||
\(370\) | −6.43340 | − | 2.34156i | −0.334456 | − | 0.121732i | ||||
\(371\) | −1.49970 | − | 8.50519i | −0.0778603 | − | 0.441568i | ||||
\(372\) | −2.21595 | − | 3.49949i | −0.114892 | − | 0.181440i | ||||
\(373\) | − | 25.0670i | − | 1.29792i | −0.760823 | − | 0.648959i | \(-0.775205\pi\) | ||
0.760823 | − | 0.648959i | \(-0.224795\pi\) | |||||||
\(374\) | 2.92563 | + | 1.06484i | 0.151281 | + | 0.0550616i | ||||
\(375\) | 1.30134 | − | 9.67954i | 0.0672010 | − | 0.499849i | ||||
\(376\) | −3.05137 | + | 8.38358i | −0.157363 | + | 0.432350i | ||||
\(377\) | 10.2063 | + | 1.79964i | 0.525650 | + | 0.0926862i | ||||
\(378\) | 21.8296 | + | 1.13306i | 1.12280 | + | 0.0582781i | ||||
\(379\) | − | 19.7225i | − | 1.01308i | −0.862217 | − | 0.506538i | \(-0.830925\pi\) | ||
0.862217 | − | 0.506538i | \(-0.169075\pi\) | |||||||
\(380\) | −2.01248 | − | 0.255718i | −0.103238 | − | 0.0131180i | ||||
\(381\) | 13.9714 | + | 22.0640i | 0.715777 | + | 1.13037i | ||||
\(382\) | 32.2898 | + | 5.69357i | 1.65209 | + | 0.291308i | ||||
\(383\) | −16.3804 | − | 13.7448i | −0.836999 | − | 0.702325i | 0.119888 | − | 0.992787i | \(-0.461747\pi\) |
−0.956887 | + | 0.290462i | \(0.906191\pi\) | |||||||
\(384\) | 22.3055 | − | 4.88090i | 1.13827 | − | 0.249077i | ||||
\(385\) | 0.103149 | − | 0.584987i | 0.00525696 | − | 0.0298137i | ||||
\(386\) | 0.143715 | − | 0.0253408i | 0.00731489 | − | 0.00128981i | ||||
\(387\) | −1.03795 | − | 1.49978i | −0.0527620 | − | 0.0762383i | ||||
\(388\) | −2.53052 | − | 1.46100i | −0.128468 | − | 0.0741710i | ||||
\(389\) | −25.6112 | + | 4.51595i | −1.29854 | + | 0.228968i | −0.779835 | − | 0.625985i | \(-0.784697\pi\) |
−0.518706 | + | 0.854953i | \(0.673586\pi\) | |||||||
\(390\) | 3.49598 | − | 10.9828i | 0.177026 | − | 0.556134i | ||||
\(391\) | −14.1682 | − | 24.5400i | −0.716515 | − | 1.24104i | ||||
\(392\) | 1.35469 | 0.0684224 | ||||||||
\(393\) | 3.12273 | + | 14.2708i | 0.157521 | + | 0.719866i | ||||
\(394\) | 24.0313 | + | 4.23738i | 1.21068 | + | 0.213476i | ||||
\(395\) | −0.617480 | + | 0.518127i | −0.0310688 | + | 0.0260698i | ||||
\(396\) | −0.559310 | + | 0.789528i | −0.0281064 | + | 0.0396753i | ||||
\(397\) | 2.93642 | − | 1.06877i | 0.147375 | − | 0.0536400i | −0.267280 | − | 0.963619i | \(-0.586125\pi\) |
0.414654 | + | 0.909979i | \(0.363903\pi\) | |||||||
\(398\) | 7.71042 | + | 13.3548i | 0.386488 | + | 0.669417i | ||||
\(399\) | 13.4516 | + | 13.4041i | 0.673421 | + | 0.671043i | ||||
\(400\) | 11.5523 | − | 20.0091i | 0.577613 | − | 1.00045i | ||||
\(401\) | −1.57136 | + | 8.91162i | −0.0784700 | + | 0.445025i | 0.920106 | + | 0.391670i | \(0.128103\pi\) |
−0.998576 | + | 0.0533550i | \(0.983009\pi\) | |||||||
\(402\) | −6.42304 | + | 2.63990i | −0.320352 | + | 0.131666i | ||||
\(403\) | 19.2112 | + | 6.99232i | 0.956980 | + | 0.348312i | ||||
\(404\) | −4.55452 | + | 5.42787i | −0.226596 | + | 0.270046i | ||||
\(405\) | −4.95649 | + | 1.74270i | −0.246290 | + | 0.0865956i | ||||
\(406\) | −3.19840 | − | 5.53980i | −0.158734 | − | 0.274935i | ||||
\(407\) | −2.83672 | −0.140611 | ||||||||
\(408\) | 3.42716 | + | 15.6620i | 0.169670 | + | 0.775384i | ||||
\(409\) | 24.5093 | + | 29.2091i | 1.21191 | + | 1.44430i | 0.861543 | + | 0.507684i | \(0.169498\pi\) |
0.350366 | + | 0.936613i | \(0.386057\pi\) | |||||||
\(410\) | 4.35962 | − | 2.51703i | 0.215306 | − | 0.124307i | ||||
\(411\) | 26.9778 | − | 1.10378i | 1.33072 | − | 0.0544455i | ||||
\(412\) | −0.142166 | − | 0.169427i | −0.00700401 | − | 0.00834705i | ||||
\(413\) | −14.6016 | − | 12.2522i | −0.718498 | − | 0.602891i | ||||
\(414\) | 29.8886 | − | 7.83323i | 1.46894 | − | 0.384982i | ||||
\(415\) | −1.33403 | + | 7.56566i | −0.0654850 | + | 0.371384i | ||||
\(416\) | 18.7089 | − | 22.2964i | 0.917279 | − | 1.09317i | ||||
\(417\) | 0.398325 | + | 9.73554i | 0.0195060 | + | 0.476752i | ||||
\(418\) | −2.87643 | + | 0.651315i | −0.140691 | + | 0.0318569i | ||||
\(419\) | −10.2452 | − | 5.91508i | −0.500512 | − | 0.288971i | 0.228413 | − | 0.973564i | \(-0.426646\pi\) |
−0.728925 | + | 0.684594i | \(0.759980\pi\) | |||||||
\(420\) | −1.87535 | + | 0.770781i | −0.0915079 | + | 0.0376102i | ||||
\(421\) | −1.20018 | − | 3.29748i | −0.0584934 | − | 0.160709i | 0.907004 | − | 0.421122i | \(-0.138364\pi\) |
−0.965497 | + | 0.260413i | \(0.916141\pi\) | |||||||
\(422\) | −7.62419 | − | 9.08616i | −0.371140 | − | 0.442307i | ||||
\(423\) | 7.69120 | − | 10.8570i | 0.373959 | − | 0.527884i | ||||
\(424\) | 1.19940 | + | 6.80211i | 0.0582478 | + | 0.330340i | ||||
\(425\) | 18.5670 | + | 10.7197i | 0.900634 | + | 0.519981i | ||||
\(426\) | −16.3234 | + | 10.3364i | −0.790872 | + | 0.500798i | ||||
\(427\) | 22.0532 | − | 18.5048i | 1.06723 | − | 0.895511i | ||||
\(428\) | −3.65280 | + | 3.06507i | −0.176565 | + | 0.148156i | ||||
\(429\) | −0.195229 | − | 4.77164i | −0.00942575 | − | 0.230377i | ||||
\(430\) | 0.514071 | + | 0.296799i | 0.0247907 | + | 0.0143129i | ||||
\(431\) | 0.452949 | + | 2.56880i | 0.0218178 | + | 0.123735i | 0.993771 | − | 0.111438i | \(-0.0355456\pi\) |
−0.971954 | + | 0.235173i | \(0.924434\pi\) | |||||||
\(432\) | −25.7325 | − | 1.33563i | −1.23806 | − | 0.0642606i | ||||
\(433\) | 3.13200 | + | 3.73257i | 0.150514 | + | 0.179376i | 0.836033 | − | 0.548679i | \(-0.184869\pi\) |
−0.685519 | + | 0.728055i | \(0.740425\pi\) | |||||||
\(434\) | −4.31587 | − | 11.8578i | −0.207169 | − | 0.569191i | ||||
\(435\) | 1.21722 | + | 0.939315i | 0.0583610 | + | 0.0450367i | ||||
\(436\) | 6.40523 | + | 3.69806i | 0.306755 | + | 0.177105i | ||||
\(437\) | 23.8652 | + | 12.2869i | 1.14163 | + | 0.587763i | ||||
\(438\) | −34.6738 | − | 18.1710i | −1.65678 | − | 0.868246i | ||||
\(439\) | −10.5687 | + | 12.5953i | −0.504418 | + | 0.601142i | −0.956823 | − | 0.290670i | \(-0.906122\pi\) |
0.452405 | + | 0.891813i | \(0.350566\pi\) | |||||||
\(440\) | −0.0824944 | + | 0.467849i | −0.00393276 | + | 0.0223038i | ||||
\(441\) | −1.94858 | − | 0.533588i | −0.0927895 | − | 0.0254090i | ||||
\(442\) | 40.1809 | + | 33.7158i | 1.91121 | + | 1.60370i | ||||
\(443\) | −10.5311 | − | 12.5505i | −0.500349 | − | 0.596293i | 0.455469 | − | 0.890252i | \(-0.349472\pi\) |
−0.955818 | + | 0.293959i | \(0.905027\pi\) | |||||||
\(444\) | 5.18012 | + | 8.18057i | 0.245838 | + | 0.388233i | ||||
\(445\) | −4.47331 | + | 2.58267i | −0.212055 | + | 0.122430i | ||||
\(446\) | 14.8559 | + | 17.7045i | 0.703445 | + | 0.838334i | ||||
\(447\) | 33.4657 | + | 10.6527i | 1.58287 | + | 0.503853i | ||||
\(448\) | 6.98081 | 0.329812 | ||||||||
\(449\) | 12.6656 | + | 21.9375i | 0.597728 | + | 1.03529i | 0.993156 | + | 0.116798i | \(0.0372629\pi\) |
−0.395428 | + | 0.918497i | \(0.629404\pi\) | |||||||
\(450\) | −16.6208 | + | 16.4395i | −0.783512 | + | 0.774967i | ||||
\(451\) | 1.34075 | − | 1.59784i | 0.0631334 | − | 0.0752394i | ||||
\(452\) | −15.0484 | − | 5.47717i | −0.707817 | − | 0.257625i | ||||
\(453\) | −1.22339 | − | 0.944078i | −0.0574798 | − | 0.0443567i | ||||
\(454\) | −2.82074 | + | 15.9972i | −0.132384 | + | 0.750787i | ||||
\(455\) | 5.00377 | − | 8.66679i | 0.234580 | − | 0.406305i | ||||
\(456\) | −10.7580 | − | 10.7200i | −0.503791 | − | 0.502011i | ||||
\(457\) | 10.8524 | + | 18.7969i | 0.507654 | + | 0.879282i | 0.999961 | + | 0.00886020i | \(0.00282033\pi\) |
−0.492307 | + | 0.870422i | \(0.663846\pi\) | |||||||
\(458\) | 3.53371 | − | 1.28616i | 0.165119 | − | 0.0600985i | ||||
\(459\) | 1.23937 | − | 23.8780i | 0.0578490 | − | 1.11453i | ||||
\(460\) | −2.19549 | + | 1.84223i | −0.102365 | + | 0.0858945i | ||||
\(461\) | −22.9177 | − | 4.04101i | −1.06738 | − | 0.188208i | −0.387753 | − | 0.921763i | \(-0.626749\pi\) |
−0.679630 | + | 0.733555i | \(0.737860\pi\) | |||||||
\(462\) | −2.17870 | + | 1.98545i | −0.101362 | + | 0.0923714i | ||||
\(463\) | 25.0104 | 1.16233 | 0.581165 | − | 0.813785i | \(-0.302597\pi\) | ||||
0.581165 | + | 0.813785i | \(0.302597\pi\) | |||||||
\(464\) | 3.77024 | + | 6.53024i | 0.175029 | + | 0.303159i | ||||
\(465\) | 2.04292 | + | 2.24176i | 0.0947381 | + | 0.103959i | ||||
\(466\) | −47.5897 | + | 8.39135i | −2.20455 | + | 0.388722i | ||||
\(467\) | 13.6784 | + | 7.89724i | 0.632961 | + | 0.365440i | 0.781898 | − | 0.623406i | \(-0.214252\pi\) |
−0.148937 | + | 0.988847i | \(0.547585\pi\) | |||||||
\(468\) | −13.4040 | + | 9.27648i | −0.619601 | + | 0.428806i | ||||
\(469\) | −5.93805 | + | 1.04704i | −0.274194 | + | 0.0483477i | ||||
\(470\) | −0.751930 | + | 4.26441i | −0.0346840 | + | 0.196703i | ||||
\(471\) | −7.85942 | − | 8.62440i | −0.362143 | − | 0.397392i | ||||
\(472\) | 11.6778 | + | 9.79881i | 0.537513 | + | 0.451027i | ||||
\(473\) | 0.242217 | + | 0.0427094i | 0.0111372 | + | 0.00196378i | ||||
\(474\) | 3.99659 | − | 0.163518i | 0.183569 | − | 0.00751064i | ||||
\(475\) | −20.2855 | + | 0.977385i | −0.930763 | + | 0.0448455i | ||||
\(476\) | − | 9.22728i | − | 0.422931i | ||||||
\(477\) | 0.954024 | − | 10.2565i | 0.0436818 | − | 0.469613i | ||||
\(478\) | −16.6444 | − | 2.93486i | −0.761298 | − | 0.134237i | ||||
\(479\) | 8.78811 | − | 24.1451i | 0.401539 | − | 1.10322i | −0.559986 | − | 0.828502i | \(-0.689194\pi\) |
0.961525 | − | 0.274717i | \(-0.0885842\pi\) | |||||||
\(480\) | 3.99382 | − | 1.64148i | 0.182292 | − | 0.0749230i | ||||
\(481\) | −44.9091 | − | 16.3456i | −2.04768 | − | 0.745295i | ||||
\(482\) | − | 11.1346i | − | 0.507168i | ||||||
\(483\) | 26.8056 | − | 1.09674i | 1.21970 | − | 0.0499033i | ||||
\(484\) | 1.50018 | + | 8.50794i | 0.0681900 | + | 0.386724i | ||||
\(485\) | 2.01056 | + | 0.731785i | 0.0912949 | + | 0.0332286i | ||||
\(486\) | 24.7552 | + | 8.17999i | 1.12292 | + | 0.371052i | ||||
\(487\) | −17.2791 | + | 9.97610i | −0.782991 | + | 0.452060i | −0.837489 | − | 0.546454i | \(-0.815977\pi\) |
0.0544981 | + | 0.998514i | \(0.482644\pi\) | |||||||
\(488\) | −17.6372 | + | 14.7994i | −0.798400 | + | 0.669938i | ||||
\(489\) | 25.4681 | + | 3.42399i | 1.15171 | + | 0.154838i | ||||
\(490\) | 0.647525 | − | 0.114176i | 0.0292522 | − | 0.00515795i | ||||
\(491\) | −27.0303 | + | 32.2134i | −1.21986 | + | 1.45377i | −0.368143 | + | 0.929769i | \(0.620006\pi\) |
−0.851716 | + | 0.524003i | \(0.824438\pi\) | |||||||
\(492\) | −7.05622 | − | 0.948656i | −0.318119 | − | 0.0427687i | ||||
\(493\) | −6.05961 | + | 3.49851i | −0.272911 | + | 0.157565i | ||||
\(494\) | −49.2907 | − | 6.26318i | −2.21769 | − | 0.281794i | ||||
\(495\) | 0.302936 | − | 0.640456i | 0.0136160 | − | 0.0287864i | ||||
\(496\) | 5.08750 | + | 13.9778i | 0.228435 | + | 0.627621i | ||||
\(497\) | −15.7641 | + | 5.73767i | −0.707117 | + | 0.257370i | ||||
\(498\) | 28.1772 | − | 25.6779i | 1.26265 | − | 1.15065i | ||||
\(499\) | −5.31693 | + | 1.93520i | −0.238018 | + | 0.0866316i | −0.458275 | − | 0.888810i | \(-0.651533\pi\) |
0.220257 | + | 0.975442i | \(0.429310\pi\) | |||||||
\(500\) | 1.53754 | − | 4.22435i | 0.0687608 | − | 0.188919i | ||||
\(501\) | −7.03408 | + | 4.45414i | −0.314259 | + | 0.198996i | ||||
\(502\) | 33.7843i | 1.50787i | ||||||||
\(503\) | −1.26270 | + | 3.46923i | −0.0563009 | + | 0.154685i | −0.964655 | − | 0.263517i | \(-0.915117\pi\) |
0.908354 | + | 0.418202i | \(0.137340\pi\) | |||||||
\(504\) | −14.6402 | − | 4.00900i | −0.652126 | − | 0.178575i | ||||
\(505\) | 2.59416 | − | 4.49322i | 0.115439 | − | 0.199946i | ||||
\(506\) | −2.08328 | + | 3.60835i | −0.0926132 | + | 0.160411i | ||||
\(507\) | 17.5744 | − | 55.2107i | 0.780507 | − | 2.45199i | ||||
\(508\) | 4.11131 | + | 11.2957i | 0.182410 | + | 0.501167i | ||||
\(509\) | 0.901032 | + | 5.11001i | 0.0399376 | + | 0.226497i | 0.998243 | − | 0.0592476i | \(-0.0188702\pi\) |
−0.958306 | + | 0.285745i | \(0.907759\pi\) | |||||||
\(510\) | 2.95816 | + | 7.19737i | 0.130989 | + | 0.318705i | ||||
\(511\) | −26.0380 | − | 21.8484i | −1.15185 | − | 0.966518i | ||||
\(512\) | 1.22629 | 0.0541947 | ||||||||
\(513\) | 11.2518 | + | 19.6570i | 0.496780 | + | 0.867876i | ||||
\(514\) | −28.0008 | −1.23506 | ||||||||
\(515\) | 0.124061 | + | 0.104099i | 0.00546676 | + | 0.00458716i | ||||
\(516\) | −0.319146 | − | 0.776502i | −0.0140496 | − | 0.0341836i | ||||
\(517\) | 0.311558 | + | 1.76693i | 0.0137023 | + | 0.0777097i | ||||
\(518\) | 10.0890 | + | 27.7193i | 0.443285 | + | 1.21792i | ||||
\(519\) | 4.11890 | − | 12.9397i | 0.180800 | − | 0.567989i | ||||
\(520\) | −4.00181 | + | 6.93134i | −0.175491 | + | 0.303960i | ||||
\(521\) | 18.4067 | − | 31.8814i | 0.806413 | − | 1.39675i | −0.108919 | − | 0.994051i | \(-0.534739\pi\) |
0.915333 | − | 0.402698i | \(-0.131928\pi\) | |||||||
\(522\) | −1.93424 | − | 7.38032i | −0.0846595 | − | 0.323028i | ||||
\(523\) | −2.82677 | + | 7.76649i | −0.123606 | + | 0.339605i | −0.986027 | − | 0.166587i | \(-0.946725\pi\) |
0.862421 | + | 0.506192i | \(0.168947\pi\) | |||||||
\(524\) | 6.72409i | 0.293743i | ||||||||
\(525\) | −17.1491 | + | 10.8592i | −0.748450 | + | 0.473935i | ||||
\(526\) | −0.219627 | + | 0.603421i | −0.00957621 | + | 0.0263104i | ||||
\(527\) | −12.9704 | + | 4.72084i | −0.565000 | + | 0.205643i | ||||
\(528\) | 2.56822 | − | 2.34042i | 0.111768 | − | 0.101854i | ||||
\(529\) | 14.0219 | − | 5.10356i | 0.609648 | − | 0.221894i | ||||
\(530\) | 1.14659 | + | 3.15023i | 0.0498046 | + | 0.136837i | ||||
\(531\) | −12.9376 | − | 18.6942i | −0.561445 | − | 0.811258i | ||||
\(532\) | 4.72963 | + | 7.35065i | 0.205056 | + | 0.318691i | ||||
\(533\) | 30.4329 | − | 17.5704i | 1.31819 | − | 0.761060i | ||||
\(534\) | 25.4034 | + | 3.41530i | 1.09931 | + | 0.147795i | ||||
\(535\) | 2.24436 | − | 2.67472i | 0.0970320 | − | 0.115638i | ||||
\(536\) | 4.74901 | − | 0.837379i | 0.205126 | − | 0.0361693i | ||||
\(537\) | −0.651897 | − | 0.0876427i | −0.0281314 | − | 0.00378206i | ||||
\(538\) | 40.4497 | − | 33.9413i | 1.74391 | − | 1.46331i | ||||
\(539\) | 0.235938 | − | 0.136219i | 0.0101626 | − | 0.00586735i | ||||
\(540\) | −2.40015 | + | 0.295924i | −0.103286 | + | 0.0127345i | ||||
\(541\) | −10.7032 | − | 3.89566i | −0.460168 | − | 0.167487i | 0.101526 | − | 0.994833i | \(-0.467628\pi\) |
−0.561693 | + | 0.827346i | \(0.689850\pi\) | |||||||
\(542\) | −2.66135 | − | 15.0932i | −0.114315 | − | 0.648310i | ||||
\(543\) | −22.0207 | + | 0.900966i | −0.944999 | + | 0.0386641i | ||||
\(544\) | 19.6507i | 0.842518i | ||||||||
\(545\) | −5.08911 | − | 1.85228i | −0.217993 | − | 0.0793431i | ||||
\(546\) | −45.9322 | + | 18.8784i | −1.96572 | + | 0.807920i | ||||
\(547\) | 0.617530 | − | 1.69665i | 0.0264037 | − | 0.0725435i | −0.925790 | − | 0.378037i | \(-0.876599\pi\) |
0.952194 | + | 0.305493i | \(0.0988214\pi\) | |||||||
\(548\) | 12.2391 | + | 2.15809i | 0.522829 | + | 0.0921889i | ||||
\(549\) | 31.1984 | − | 14.3403i | 1.33152 | − | 0.612031i | ||||
\(550\) | − | 3.15244i | − | 0.134420i | ||||||
\(551\) | 3.03398 | − | 5.89297i | 0.129252 | − | 0.251049i | ||||
\(552\) | −21.4380 | + | 0.877126i | −0.912464 | + | 0.0373330i | ||||
\(553\) | 3.42028 | + | 0.603088i | 0.145445 | + | 0.0256459i | ||||
\(554\) | 16.3667 | + | 13.7333i | 0.695354 | + | 0.583471i | ||||
\(555\) | −4.77563 | − | 5.24045i | −0.202714 | − | 0.222445i | ||||
\(556\) | −0.778795 | + | 4.41677i | −0.0330283 | + | 0.187313i | ||||
\(557\) | −2.75569 | + | 0.485903i | −0.116763 | + | 0.0205884i | −0.231724 | − | 0.972782i | \(-0.574437\pi\) |
0.114962 | + | 0.993370i | \(0.463326\pi\) | |||||||
\(558\) | −1.22952 | − | 15.0003i | −0.0520497 | − | 0.635014i | ||||
\(559\) | 3.58853 | + | 2.07184i | 0.151779 | + | 0.0876296i | ||||
\(560\) | 7.17070 | − | 1.26439i | 0.303018 | − | 0.0534302i | ||||
\(561\) | 2.17175 | + | 2.38313i | 0.0916912 | + | 0.100616i | ||||
\(562\) | −2.01465 | − | 3.48947i | −0.0849828 | − | 0.147195i | ||||
\(563\) | −36.2091 | −1.52603 | −0.763017 | − | 0.646379i | \(-0.776283\pi\) | ||||
−0.763017 | + | 0.646379i | \(0.776283\pi\) | |||||||
\(564\) | 4.52658 | − | 4.12507i | 0.190603 | − | 0.173697i | ||||
\(565\) | 11.5480 | + | 2.03623i | 0.485829 | + | 0.0856648i | ||||
\(566\) | −35.5429 | + | 29.8241i | −1.49398 | + | 1.25360i | ||||
\(567\) | 19.4793 | + | 11.5330i | 0.818052 | + | 0.484340i | ||||
\(568\) | 12.6075 | − | 4.58876i | 0.528999 | − | 0.192540i | ||||
\(569\) | 7.47528 | + | 12.9476i | 0.313380 | + | 0.542790i | 0.979092 | − | 0.203419i | \(-0.0652053\pi\) |
−0.665712 | + | 0.746209i | \(0.731872\pi\) | |||||||
\(570\) | −6.04569 | − | 4.21732i | −0.253226 | − | 0.176644i | ||||
\(571\) | −7.37174 | + | 12.7682i | −0.308498 | + | 0.534334i | −0.978034 | − | 0.208446i | \(-0.933160\pi\) |
0.669536 | + | 0.742779i | \(0.266493\pi\) | |||||||
\(572\) | 0.381707 | − | 2.16477i | 0.0159600 | − | 0.0905136i | ||||
\(573\) | 26.8819 | + | 20.7446i | 1.12301 | + | 0.866617i | ||||
\(574\) | −20.3820 | − | 7.41842i | −0.850726 | − | 0.309639i | ||||
\(575\) | −18.4427 | + | 21.9792i | −0.769114 | + | 0.916594i | ||||
\(576\) | 8.03048 | + | 2.19903i | 0.334604 | + | 0.0916261i | ||||
\(577\) | −18.2291 | − | 31.5737i | −0.758886 | − | 1.31443i | −0.943419 | − | 0.331603i | \(-0.892411\pi\) |
0.184533 | − | 0.982826i | \(-0.440923\pi\) | |||||||
\(578\) | −6.98067 | −0.290358 | ||||||||
\(579\) | 0.144009 | + | 0.0458401i | 0.00598479 | + | 0.00190505i | ||||
\(580\) | 0.454898 | + | 0.542126i | 0.0188886 | + | 0.0225106i | ||||
\(581\) | 28.6661 | − | 16.5504i | 1.18927 | − | 0.686625i | ||||
\(582\) | −5.68012 | − | 8.97017i | −0.235448 | − | 0.371826i | ||||
\(583\) | 0.892863 | + | 1.06407i | 0.0369786 | + | 0.0440694i | ||||
\(584\) | 20.8241 | + | 17.4735i | 0.861707 | + | 0.723058i | ||||
\(585\) | 8.48629 | − | 8.39374i | 0.350865 | − | 0.347038i | ||||
\(586\) | −9.06955 | + | 51.4360i | −0.374660 | + | 2.12480i | ||||
\(587\) | −1.91259 | + | 2.27934i | −0.0789410 | + | 0.0940782i | −0.804069 | − | 0.594535i | \(-0.797336\pi\) |
0.725128 | + | 0.688614i | \(0.241780\pi\) | |||||||
\(588\) | −0.823675 | − | 0.431652i | −0.0339678 | − | 0.0178010i | ||||
\(589\) | 7.91274 | − | 10.4090i | 0.326039 | − | 0.428894i | ||||
\(590\) | 6.40767 | + | 3.69947i | 0.263800 | + | 0.152305i | ||||
\(591\) | 20.0066 | + | 15.4389i | 0.822961 | + | 0.635072i | ||||
\(592\) | −11.8928 | − | 32.6751i | −0.488790 | − | 1.34294i | ||||
\(593\) | 1.72884 | + | 2.06035i | 0.0709948 | + | 0.0846083i | 0.800373 | − | 0.599503i | \(-0.204635\pi\) |
−0.729378 | + | 0.684111i | \(0.760190\pi\) | |||||||
\(594\) | −3.13174 | + | 1.59768i | −0.128497 | + | 0.0655536i | ||||
\(595\) | 1.17326 | + | 6.65391i | 0.0480991 | + | 0.272784i | ||||
\(596\) | 13.9997 | + | 8.08272i | 0.573449 | + | 0.331081i | ||||
\(597\) | 0.652856 | + | 15.9566i | 0.0267196 | + | 0.653060i | ||||
\(598\) | −53.7731 | + | 45.1210i | −2.19894 | + | 1.84513i | ||||
\(599\) | 18.1064 | − | 15.1931i | 0.739809 | − | 0.620773i | −0.192978 | − | 0.981203i | \(-0.561814\pi\) |
0.932786 | + | 0.360430i | \(0.117370\pi\) | |||||||
\(600\) | 13.7152 | − | 8.68477i | 0.559920 | − | 0.354554i | ||||
\(601\) | −13.4725 | − | 7.77837i | −0.549556 | − | 0.317286i | 0.199387 | − | 0.979921i | \(-0.436105\pi\) |
−0.748943 | + | 0.662634i | \(0.769438\pi\) | |||||||
\(602\) | −0.444124 | − | 2.51875i | −0.0181011 | − | 0.102657i | ||||
\(603\) | −7.16076 | − | 0.666068i | −0.291609 | − | 0.0271244i | ||||
\(604\) | −0.457205 | − | 0.544875i | −0.0186034 | − | 0.0221707i | ||||
\(605\) | −2.16360 | − | 5.94444i | −0.0879627 | − | 0.241676i | ||||
\(606\) | −23.8132 | + | 9.78734i | −0.967344 | + | 0.397583i | ||||
\(607\) | −4.10356 | − | 2.36919i | −0.166558 | − | 0.0961626i | 0.414404 | − | 0.910093i | \(-0.363990\pi\) |
−0.580962 | + | 0.813931i | \(0.697324\pi\) | |||||||
\(608\) | −10.0724 | − | 15.6542i | −0.408489 | − | 0.634862i | ||||
\(609\) | −0.270815 | − | 6.61905i | −0.0109740 | − | 0.268217i | ||||
\(610\) | −7.18304 | + | 8.56041i | −0.290833 | + | 0.346601i | ||||
\(611\) | −5.24894 | + | 29.7682i | −0.212350 | + | 1.20429i | ||||
\(612\) | 2.90669 | − | 10.6147i | 0.117496 | − | 0.429076i | ||||
\(613\) | 29.7951 | + | 25.0010i | 1.20341 | + | 1.00978i | 0.999526 | + | 0.0307869i | \(0.00980132\pi\) |
0.203885 | + | 0.978995i | \(0.434643\pi\) | |||||||
\(614\) | −12.1833 | − | 14.5194i | −0.491676 | − | 0.585957i | ||||
\(615\) | 5.20895 | − | 0.213122i | 0.210045 | − | 0.00859389i | ||||
\(616\) | 1.77266 | − | 1.02345i | 0.0714227 | − | 0.0412359i | ||||
\(617\) | 4.98288 | + | 5.93837i | 0.200603 | + | 0.239070i | 0.856962 | − | 0.515379i | \(-0.172349\pi\) |
−0.656359 | + | 0.754449i | \(0.727904\pi\) | |||||||
\(618\) | −0.171789 | − | 0.785068i | −0.00691035 | − | 0.0315801i | ||||
\(619\) | 26.3144 | 1.05767 | 0.528833 | − | 0.848726i | \(-0.322630\pi\) | ||||
0.528833 | + | 0.848726i | \(0.322630\pi\) | |||||||
\(620\) | 0.698024 | + | 1.20901i | 0.0280333 | + | 0.0485551i | ||||
\(621\) | 31.1818 | + | 7.18239i | 1.25128 | + | 0.288219i | ||||
\(622\) | 26.1472 | − | 31.1610i | 1.04841 | − | 1.24944i | ||||
\(623\) | 20.9135 | + | 7.61188i | 0.837880 | + | 0.304963i | ||||
\(624\) | 54.1443 | − | 22.2536i | 2.16751 | − | 0.890857i | ||||
\(625\) | 3.47371 | − | 19.7004i | 0.138949 | − | 0.788016i | ||||
\(626\) | 10.8667 | − | 18.8217i | 0.434322 | − | 0.752268i | ||||
\(627\) | −2.95158 | − | 0.785280i | −0.117875 | − | 0.0313610i | ||||
\(628\) | −2.68540 | − | 4.65126i | −0.107159 | − | 0.185605i | ||||
\(629\) | 30.3202 | − | 11.0357i | 1.20895 | − | 0.440021i | ||||
\(630\) | −7.33570 | − | 0.682341i | −0.292261 | − | 0.0271851i | ||||
\(631\) | −4.47423 | + | 3.75433i | −0.178116 | + | 0.149457i | −0.727487 | − | 0.686121i | \(-0.759312\pi\) |
0.549371 | + | 0.835579i | \(0.314867\pi\) | |||||||
\(632\) | −2.73540 | − | 0.482326i | −0.108809 | − | 0.0191859i | ||||
\(633\) | −2.62575 | − | 11.9996i | −0.104364 | − | 0.476940i | ||||
\(634\) | 5.86624 | 0.232978 | ||||||||
\(635\) | −4.40099 | − | 7.62273i | −0.174648 | − | 0.302499i | ||||
\(636\) | 1.43814 | − | 4.51796i | 0.0570258 | − | 0.179149i | ||||
\(637\) | 4.52013 | − | 0.797021i | 0.179094 | − | 0.0315791i | ||||
\(638\) | 0.891002 | + | 0.514420i | 0.0352751 | + | 0.0203661i | ||||
\(639\) | −19.9419 | + | 1.63456i | −0.788891 | + | 0.0646623i | ||||
\(640\) | −7.57882 | + | 1.33635i | −0.299579 | + | 0.0528239i | ||||
\(641\) | 0.555772 | − | 3.15194i | 0.0219517 | − | 0.124494i | −0.971863 | − | 0.235548i | \(-0.924311\pi\) |
0.993814 | + | 0.111054i | \(0.0354226\pi\) | |||||||
\(642\) | −16.9259 | + | 3.70373i | −0.668012 | + | 0.146174i | ||||
\(643\) | −30.3291 | − | 25.4492i | −1.19606 | − | 1.00362i | −0.999734 | − | 0.0230796i | \(-0.992653\pi\) |
−0.196331 | − | 0.980538i | \(-0.562903\pi\) | |||||||
\(644\) | 12.1610 | + | 2.14432i | 0.479211 | + | 0.0844979i | ||||
\(645\) | 0.328874 | + | 0.519366i | 0.0129494 | + | 0.0204500i | ||||
\(646\) | 28.2109 | − | 18.1517i | 1.10994 | − | 0.714170i | ||||
\(647\) | − | 27.5631i | − | 1.08362i | −0.840502 | − | 0.541808i | \(-0.817740\pi\) | ||
0.840502 | − | 0.541808i | \(-0.182260\pi\) | |||||||
\(648\) | −15.5787 | − | 9.22363i | −0.611990 | − | 0.362338i | ||||
\(649\) | 3.01914 | + | 0.532355i | 0.118512 | + | 0.0208968i | ||||
\(650\) | 18.1648 | − | 49.9074i | 0.712482 | − | 1.95753i | ||||
\(651\) | 1.74124 | − | 12.9516i | 0.0682447 | − | 0.507613i | ||||
\(652\) | 11.1148 | + | 4.04545i | 0.435289 | + | 0.158432i | ||||
\(653\) | 13.3174i | 0.521149i | 0.965454 | + | 0.260574i | \(0.0839119\pi\) | ||||
−0.965454 | + | 0.260574i | \(0.916088\pi\) | |||||||
\(654\) | 14.3774 | + | 22.7052i | 0.562202 | + | 0.887843i | ||||
\(655\) | −0.854980 | − | 4.84883i | −0.0334068 | − | 0.189460i | ||||
\(656\) | 24.0260 | + | 8.74475i | 0.938057 | + | 0.341425i | ||||
\(657\) | −23.0707 | − | 33.3359i | −0.900074 | − | 1.30056i | ||||
\(658\) | 16.1577 | − | 9.32866i | 0.629893 | − | 0.363669i | ||||
\(659\) | −8.52225 | + | 7.15102i | −0.331980 | + | 0.278564i | −0.793506 | − | 0.608562i | \(-0.791746\pi\) |
0.461526 | + | 0.887127i | \(0.347302\pi\) | |||||||
\(660\) | 0.199231 | − | 0.258174i | 0.00775504 | − | 0.0100494i | ||||
\(661\) | 2.27762 | − | 0.401606i | 0.0885892 | − | 0.0156207i | −0.129178 | − | 0.991621i | \(-0.541234\pi\) |
0.217767 | + | 0.976001i | \(0.430123\pi\) | |||||||
\(662\) | −15.6061 | + | 18.5987i | −0.606550 | + | 0.722858i | ||||
\(663\) | 20.6498 | + | 50.2421i | 0.801971 | + | 1.95124i | ||||
\(664\) | −22.9260 | + | 13.2363i | −0.889700 | + | 0.513668i | ||||
\(665\) | −4.34525 | − | 4.69927i | −0.168501 | − | 0.182230i | ||||
\(666\) | 2.87418 | + | 35.0655i | 0.111372 | + | 1.35876i | ||||
\(667\) | −3.20266 | − | 8.79923i | −0.124007 | − | 0.340707i | ||||
\(668\) | −3.60112 | + | 1.31070i | −0.139331 | + | 0.0507125i | ||||
\(669\) | 5.11631 | + | 23.3814i | 0.197808 | + | 0.903976i | ||||
\(670\) | 2.19939 | − | 0.800511i | 0.0849697 | − | 0.0309264i | ||||
\(671\) | −1.58363 | + | 4.35099i | −0.0611354 | + | 0.167968i | ||||
\(672\) | −16.4790 | − | 8.63593i | −0.635691 | − | 0.333138i | ||||
\(673\) | 16.1918i | 0.624147i | 0.950058 | + | 0.312073i | \(0.101023\pi\) | ||||
−0.950058 | + | 0.312073i | \(0.898977\pi\) | |||||||
\(674\) | 6.05963 | − | 16.6487i | 0.233408 | − | 0.641284i | ||||
\(675\) | −23.1486 | + | 7.08993i | −0.890988 | + | 0.272892i | ||||
\(676\) | 13.3346 | − | 23.0962i | 0.512869 | − | 0.888316i | ||||
\(677\) | −21.0773 | + | 36.5070i | −0.810068 | + | 1.40308i | 0.102748 | + | 0.994707i | \(0.467236\pi\) |
−0.912816 | + | 0.408371i | \(0.866097\pi\) | |||||||
\(678\) | −39.1941 | − | 43.0090i | −1.50524 | − | 1.65175i | ||||
\(679\) | −3.15301 | − | 8.66282i | −0.121001 | − | 0.332449i | ||||
\(680\) | −0.938329 | − | 5.32153i | −0.0359833 | − | 0.204071i | ||||
\(681\) | −10.2774 | + | 13.3180i | −0.393831 | + | 0.510347i | ||||
\(682\) | 1.55473 | + | 1.30458i | 0.0595338 | + | 0.0499548i | ||||
\(683\) | 13.0918 | 0.500945 | 0.250472 | − | 0.968124i | \(-0.419414\pi\) | ||||
0.250472 | + | 0.968124i | \(0.419414\pi\) | |||||||
\(684\) | 3.12528 | + | 9.94582i | 0.119498 | + | 0.380288i | ||||
\(685\) | −9.10020 | −0.347701 | ||||||||
\(686\) | −24.7282 | − | 20.7494i | −0.944128 | − | 0.792217i | ||||
\(687\) | 3.85967 | + | 0.518904i | 0.147256 | + | 0.0197974i | ||||
\(688\) | 0.523528 | + | 2.96907i | 0.0199593 | + | 0.113195i | ||||
\(689\) | 8.00391 | + | 21.9906i | 0.304925 | + | 0.837773i | ||||
\(690\) | −10.1732 | + | 2.22609i | −0.387286 | + | 0.0847459i | ||||
\(691\) | 13.9770 | − | 24.2089i | 0.531710 | − | 0.920949i | −0.467605 | − | 0.883938i | \(-0.654883\pi\) |
0.999315 | − | 0.0370110i | \(-0.0117836\pi\) | |||||||
\(692\) | 3.12522 | − | 5.41305i | 0.118803 | − | 0.205773i | ||||
\(693\) | −2.95290 | + | 0.773899i | −0.112171 | + | 0.0293980i | ||||
\(694\) | 21.0353 | − | 57.7940i | 0.798489 | − | 2.19383i | ||||
\(695\) | − | 3.28401i | − | 0.124570i | ||||||
\(696\) | 0.216587 | + | 5.29365i | 0.00820970 | + | 0.200655i | ||||
\(697\) | −8.11451 | + | 22.2944i | −0.307359 | + | 0.844462i | ||||
\(698\) | −32.7152 | + | 11.9073i | −1.23829 | + | 0.450700i | ||||
\(699\) | −47.6870 | − | 15.1795i | −1.80369 | − | 0.574141i | ||||
\(700\) | −8.77955 | + | 3.19550i | −0.331836 | + | 0.120778i | ||||
\(701\) | 5.74896 | + | 15.7951i | 0.217135 | + | 0.596574i | 0.999661 | − | 0.0260446i | \(-0.00829119\pi\) |
−0.782526 | + | 0.622618i | \(0.786069\pi\) | |||||||
\(702\) | −58.7858 | + | 7.24794i | −2.21873 | + | 0.273556i | ||||
\(703\) | −18.4972 | + | 24.3325i | −0.697635 | + | 0.917718i | ||||
\(704\) | −0.972347 | + | 0.561385i | −0.0366467 | + | 0.0211580i | ||||
\(705\) | −2.73966 | + | 3.55021i | −0.103182 | + | 0.133708i | ||||
\(706\) | 0.572034 | − | 0.681723i | 0.0215288 | − | 0.0256570i | ||||
\(707\) | −22.0151 | + | 3.88185i | −0.827962 | + | 0.145992i | ||||
\(708\) | −3.97802 | − | 9.67877i | −0.149503 | − | 0.363750i | ||||
\(709\) | 25.8623 | − | 21.7010i | 0.971278 | − | 0.814999i | −0.0114728 | − | 0.999934i | \(-0.503652\pi\) |
0.982751 | + | 0.184935i | \(0.0592075\pi\) | |||||||
\(710\) | 5.63946 | − | 3.25595i | 0.211645 | − | 0.122193i | ||||
\(711\) | 3.74460 | + | 1.77120i | 0.140433 | + | 0.0664250i | ||||
\(712\) | −16.7257 | − | 6.08767i | −0.626824 | − | 0.228145i | ||||
\(713\) | −3.20762 | − | 18.1913i | −0.120126 | − | 0.681270i | ||||
\(714\) | 15.5630 | − | 29.6972i | 0.582432 | − | 1.11139i | ||||
\(715\) | 1.60958i | 0.0601948i | ||||||||
\(716\) | −0.284501 | − | 0.103550i | −0.0106323 | − | 0.00386984i | ||||
\(717\) | −13.8568 | − | 10.6932i | −0.517492 | − | 0.399345i | ||||
\(718\) | 15.5014 | − | 42.5898i | 0.578508 | − | 1.58944i | ||||
\(719\) | 21.8362 | + | 3.85031i | 0.814352 | + | 0.143592i | 0.565287 | − | 0.824895i | \(-0.308766\pi\) |
0.249065 | + | 0.968487i | \(0.419877\pi\) | |||||||
\(720\) | 8.64723 | + | 0.804335i | 0.322263 | + | 0.0299758i | ||||
\(721\) | − | 0.697785i | − | 0.0259869i | ||||||
\(722\) | −13.1693 | + | 28.9201i | −0.490112 | + | 1.07630i | ||||
\(723\) | 5.35250 | − | 10.2136i | 0.199061 | − | 0.379847i | ||||
\(724\) | −9.99023 | − | 1.76155i | −0.371284 | − | 0.0654674i | ||||
\(725\) | 5.42726 | + | 4.55401i | 0.201563 | + | 0.169132i | ||||
\(726\) | −9.52157 | + | 29.9124i | −0.353379 | + | 1.11015i | ||||
\(727\) | −1.60278 | + | 9.08980i | −0.0594437 | + | 0.337122i | −0.999997 | − | 0.00252468i | \(-0.999196\pi\) |
0.940553 | + | 0.339647i | \(0.110307\pi\) | |||||||
\(728\) | 33.9610 | − | 5.98823i | 1.25868 | − | 0.221939i | ||||
\(729\) | 18.7753 | + | 19.4033i | 0.695380 | + | 0.718642i | ||||
\(730\) | 11.4263 | + | 6.59699i | 0.422907 | + | 0.244166i | ||||
\(731\) | −2.75509 | + | 0.485797i | −0.101901 | + | 0.0179678i | ||||
\(732\) | 15.4393 | − | 3.37843i | 0.570653 | − | 0.124870i | ||||
\(733\) | −3.07982 | − | 5.33441i | −0.113756 | − | 0.197031i | 0.803526 | − | 0.595270i | \(-0.202955\pi\) |
−0.917282 | + | 0.398239i | \(0.869621\pi\) | |||||||
\(734\) | −38.6411 | −1.42627 | ||||||||
\(735\) | 0.648848 | + | 0.206538i | 0.0239331 | + | 0.00761828i | ||||
\(736\) | −25.8985 | − | 4.56661i | −0.954633 | − | 0.168328i | ||||
\(737\) | 0.742901 | − | 0.623368i | 0.0273651 | − | 0.0229621i | ||||
\(738\) | −21.1098 | − | 14.9544i | −0.777064 | − | 0.550480i | ||||
\(739\) | 41.0076 | − | 14.9256i | 1.50849 | − | 0.549045i | 0.550247 | − | 0.835002i | \(-0.314533\pi\) |
0.958243 | + | 0.285956i | \(0.0923112\pi\) | |||||||
\(740\) | −1.63173 | − | 2.82625i | −0.0599838 | − | 0.103895i | ||||
\(741\) | −42.2027 | − | 29.4395i | −1.55036 | − | 1.08149i | ||||
\(742\) | 7.22217 | − | 12.5092i | 0.265134 | − | 0.459226i | ||||
\(743\) | 5.37307 | − | 30.4722i | 0.197119 | − | 1.11792i | −0.712250 | − | 0.701926i | \(-0.752324\pi\) |
0.909369 | − | 0.415991i | \(-0.136565\pi\) | |||||||
\(744\) | −1.39258 | + | 10.3582i | −0.0510543 | + | 0.379748i | ||||
\(745\) | −11.1231 | − | 4.04847i | −0.407518 | − | 0.148324i | ||||
\(746\) | 26.9485 | − | 32.1160i | 0.986654 | − | 1.17585i | ||||
\(747\) | 38.1900 | − | 10.0089i | 1.39730 | − | 0.366205i | ||||
\(748\) | 0.742042 | + | 1.28525i | 0.0271317 | + | 0.0469935i | ||||
\(749\) | −15.0441 | −0.549699 | ||||||||
\(750\) | 12.0734 | − | 11.0025i | 0.440857 | − | 0.401753i | ||||
\(751\) | 28.3565 | + | 33.7940i | 1.03474 | + | 1.23316i | 0.971963 | + | 0.235133i | \(0.0755527\pi\) |
0.0627816 | + | 0.998027i | \(0.480003\pi\) | |||||||
\(752\) | −19.0465 | + | 10.9965i | −0.694555 | + | 0.401001i | ||||
\(753\) | −16.2404 | + | 30.9897i | −0.591832 | + | 1.12933i | ||||
\(754\) | 11.1416 | + | 13.2781i | 0.405754 | + | 0.483558i | ||||
\(755\) | 0.398978 | + | 0.334782i | 0.0145203 | + | 0.0121840i | ||||
\(756\) | 7.62406 | + | 7.10240i | 0.277285 | + | 0.258312i | ||||
\(757\) | 2.66165 | − | 15.0949i | 0.0967392 | − | 0.548635i | −0.897461 | − | 0.441093i | \(-0.854591\pi\) |
0.994201 | − | 0.107542i | \(-0.0342980\pi\) | |||||||
\(758\) | 21.2029 | − | 25.2686i | 0.770123 | − | 0.917797i | ||||
\(759\) | −3.64552 | + | 2.30842i | −0.132324 | + | 0.0837905i | ||||
\(760\) | 3.47515 | + | 3.75829i | 0.126057 | + | 0.136327i | ||||
\(761\) | −23.7318 | − | 13.7015i | −0.860276 | − | 0.496680i | 0.00382896 | − | 0.999993i | \(-0.498781\pi\) |
−0.864105 | + | 0.503312i | \(0.832115\pi\) | |||||||
\(762\) | −5.81983 | + | 43.2886i | −0.210830 | + | 1.56818i | ||||
\(763\) | 7.98085 | + | 21.9272i | 0.288926 | + | 0.793819i | ||||
\(764\) | 10.0463 | + | 11.9727i | 0.363463 | + | 0.433159i | ||||
\(765\) | −0.746366 | + | 8.02402i | −0.0269849 | + | 0.290109i | ||||
\(766\) | −6.21020 | − | 35.2198i | −0.224384 | − | 1.27254i | ||||
\(767\) | 44.7296 | + | 25.8246i | 1.61509 | + | 0.932473i | ||||
\(768\) | 25.3096 | + | 13.2636i | 0.913280 | + | 0.478610i | ||||
\(769\) | 11.6063 | − | 9.73884i | 0.418534 | − | 0.351191i | −0.409071 | − | 0.912502i | \(-0.634147\pi\) |
0.827605 | + | 0.561311i | \(0.189703\pi\) | |||||||
\(770\) | 0.761051 | − | 0.638597i | 0.0274264 | − | 0.0230135i | ||||
\(771\) | −25.6846 | − | 13.4602i | −0.925008 | − | 0.484756i | ||||
\(772\) | 0.0602429 | + | 0.0347813i | 0.00216819 | + | 0.00125181i | ||||
\(773\) | −2.17005 | − | 12.3070i | −0.0780513 | − | 0.442651i | −0.998641 | − | 0.0521193i | \(-0.983402\pi\) |
0.920590 | − | 0.390531i | \(-0.127709\pi\) | |||||||
\(774\) | 0.282527 | − | 3.03739i | 0.0101552 | − | 0.109177i | ||||
\(775\) | 8.98355 | + | 10.7062i | 0.322699 | + | 0.384577i | ||||
\(776\) | 2.52165 | + | 6.92817i | 0.0905219 | + | 0.248707i | ||||
\(777\) | −4.07042 | + | 30.2762i | −0.146025 | + | 1.08615i | ||||
\(778\) | −37.6682 | − | 21.7477i | −1.35047 | − | 0.779694i | ||||
\(779\) | −4.96328 | − | 21.9195i | −0.177828 | − | 0.785347i | ||||
\(780\) | 4.64173 | − | 2.93925i | 0.166201 | − | 0.105242i | ||||
\(781\) | 1.73435 | − | 2.06692i | 0.0620598 | − | 0.0739600i | ||||
\(782\) | 8.22961 | − | 46.6724i | 0.294290 | − | 1.66900i | ||||
\(783\) | 1.77353 | − | 7.69964i | 0.0633808 | − | 0.275163i | ||||
\(784\) | 2.55821 | + | 2.14659i | 0.0913647 | + | 0.0766641i | ||||
\(785\) | 2.52790 | + | 3.01263i | 0.0902245 | + | 0.107525i | ||||
\(786\) | −11.3411 | + | 21.6409i | −0.404523 | + | 0.771907i | ||||
\(787\) | 5.00564 | − | 2.89001i | 0.178432 | − | 0.103018i | −0.408124 | − | 0.912927i | \(-0.633817\pi\) |
0.586556 | + | 0.809909i | \(0.300484\pi\) | |||||||
\(788\) | 7.47686 | + | 8.91058i | 0.266352 | + | 0.317426i | ||||
\(789\) | −0.491529 | + | 0.447931i | −0.0174989 | + | 0.0159468i | ||||
\(790\) | −1.34814 | −0.0479645 | ||||||||
\(791\) | −25.2620 | − | 43.7551i | −0.898215 | − | 1.55575i | ||||
\(792\) | 2.36161 | − | 0.618933i | 0.0839161 | − | 0.0219928i | ||||
\(793\) | −50.1421 | + | 59.7570i | −1.78060 | + | 2.12203i | ||||
\(794\) | 4.91115 | + | 1.78751i | 0.174290 | + | 0.0634364i | ||||
\(795\) | −0.462593 | + | 3.44082i | −0.0164065 | + | 0.122033i | ||||
\(796\) | −1.27645 | + | 7.23910i | −0.0452425 | + | 0.256583i | ||||
\(797\) | −15.0976 | + | 26.1497i | −0.534783 | + | 0.926271i | 0.464391 | + | 0.885630i | \(0.346273\pi\) |
−0.999174 | + | 0.0406406i | \(0.987060\pi\) | |||||||
\(798\) | 2.82408 | + | 31.6346i | 0.0999714 | + | 1.11985i | ||||
\(799\) | −10.2040 | − | 17.6738i | −0.360991 | − | 0.625255i | ||||
\(800\) | 18.6972 | − | 6.80524i | 0.661047 | − | 0.240602i | ||||
\(801\) | 21.6603 | + | 15.3444i | 0.765330 | + | 0.542168i | ||||
\(802\) | −11.5938 | + | 9.72832i | −0.409390 | + | 0.343519i | ||||
\(803\) | 5.38380 | + | 0.949310i | 0.189990 | + | 0.0335004i | ||||
\(804\) | −3.15429 | − | 1.00406i | −0.111243 | − | 0.0354104i | ||||
\(805\) | −9.04212 | −0.318693 | ||||||||
\(806\) | 17.0964 | + | 29.6118i | 0.602195 | + | 1.04303i | ||||
\(807\) | 53.4196 | − | 11.6893i | 1.88046 | − | 0.411482i | ||||
\(808\) | 17.6068 | − | 3.10455i | 0.619404 | − | 0.109218i | ||||
\(809\) | 11.2366 | + | 6.48747i | 0.395059 | + | 0.228087i | 0.684350 | − | 0.729154i | \(-0.260086\pi\) |
−0.289291 | + | 0.957241i | \(0.593419\pi\) | |||||||
\(810\) | −8.22380 | − | 3.09576i | −0.288955 | − | 0.108774i | ||||
\(811\) | 55.4307 | − | 9.77392i | 1.94643 | − | 0.343209i | 0.946654 | − | 0.322251i | \(-0.104440\pi\) |
0.999780 | − | 0.0209574i | \(-0.00667145\pi\) | |||||||
\(812\) | 0.529491 | − | 3.00289i | 0.0185815 | − | 0.105381i | ||||
\(813\) | 4.81423 | − | 15.1241i | 0.168842 | − | 0.530425i | ||||
\(814\) | −3.63442 | − | 3.04964i | −0.127386 | − | 0.106890i | ||||
\(815\) | −8.52941 | − | 1.50396i | −0.298772 | − | 0.0526816i | ||||
\(816\) | −18.3455 | + | 35.0067i | −0.642221 | + | 1.22548i | ||||
\(817\) | 1.94576 | − | 1.79918i | 0.0680735 | − | 0.0629452i | ||||
\(818\) | 63.7719i | 2.22973i | ||||||||
\(819\) | −51.2078 | − | 4.76317i | −1.78934 | − | 0.166439i | ||||
\(820\) | 2.36317 | + | 0.416690i | 0.0825254 | + | 0.0145515i | ||||
\(821\) | −4.62750 | + | 12.7139i | −0.161501 | + | 0.443720i | −0.993877 | − | 0.110491i | \(-0.964758\pi\) |
0.832376 | + | 0.554211i | \(0.186980\pi\) | |||||||
\(822\) | 35.7507 | + | 27.5885i | 1.24695 | + | 0.962261i | ||||
\(823\) | −4.57724 | − | 1.66598i | −0.159552 | − | 0.0580724i | 0.261009 | − | 0.965336i | \(-0.415945\pi\) |
−0.420562 | + | 0.907264i | \(0.638167\pi\) | |||||||
\(824\) | 0.558060i | 0.0194409i | ||||||||
\(825\) | 1.51540 | − | 2.89167i | 0.0527594 | − | 0.100675i | ||||
\(826\) | −5.53582 | − | 31.3952i | −0.192616 | − | 1.09238i | ||||
\(827\) | −22.6833 | − | 8.25604i | −0.788775 | − | 0.287091i | −0.0839482 | − | 0.996470i | \(-0.526753\pi\) |
−0.704827 | + | 0.709380i | \(0.748975\pi\) | |||||||
\(828\) | 13.3141 | + | 6.29759i | 0.462698 | + | 0.218856i | ||||
\(829\) | 45.1860 | − | 26.0882i | 1.56938 | − | 0.906080i | 0.573135 | − | 0.819461i | \(-0.305727\pi\) |
0.996242 | − | 0.0866187i | \(-0.0276062\pi\) | |||||||
\(830\) | −9.84271 | + | 8.25901i | −0.341645 | + | 0.286675i | ||||
\(831\) | 8.41117 | + | 20.4649i | 0.291780 | + | 0.709919i | ||||
\(832\) | −18.6284 | + | 3.28468i | −0.645822 | + | 0.113876i | ||||
\(833\) | −1.99189 | + | 2.37384i | −0.0690148 | + | 0.0822487i | ||||
\(834\) | −9.95595 | + | 12.9015i | −0.344746 | + | 0.446741i | ||||
\(835\) | 2.43015 | − | 1.40305i | 0.0840990 | − | 0.0485546i | ||||
\(836\) | −1.24991 | − | 0.643513i | −0.0432290 | − | 0.0222563i | ||||
\(837\) | 6.08295 | − | 14.3506i | 0.210257 | − | 0.496028i | ||||
\(838\) | −6.76718 | − | 18.5927i | −0.233768 | − | 0.642273i | ||||
\(839\) | −9.47505 | + | 3.44864i | −0.327115 | + | 0.119060i | −0.500357 | − | 0.865819i | \(-0.666798\pi\) |
0.173242 | + | 0.984879i | \(0.444576\pi\) | |||||||
\(840\) | 4.87497 | + | 1.55178i | 0.168203 | + | 0.0535415i | ||||
\(841\) | 25.0783 | − | 9.12776i | 0.864769 | − | 0.314750i | ||||
\(842\) | 2.00730 | − | 5.51502i | 0.0691762 | − | 0.190060i | ||||
\(843\) | −0.170584 | − | 4.16928i | −0.00587523 | − | 0.143598i | ||||
\(844\) | − | 5.65394i | − | 0.194617i | ||||||
\(845\) | −6.67904 | + | 18.3505i | −0.229766 | + | 0.631276i | ||||
\(846\) | 21.5259 | − | 5.64153i | 0.740076 | − | 0.193960i | ||||
\(847\) | −13.6281 | + | 23.6046i | −0.468268 | + | 0.811065i | ||||
\(848\) | −8.51340 | + | 14.7456i | −0.292352 | + | 0.506368i | ||||
\(849\) | −46.9395 | + | 10.2713i | −1.61096 | + | 0.352510i | ||||
\(850\) | 12.2639 | + | 33.6948i | 0.420648 | + | 1.15572i | ||||
\(851\) | 7.49829 | + | 42.5249i | 0.257038 | + | 1.45773i | ||||
\(852\) | −9.12769 | − | 1.22715i | −0.312710 | − | 0.0420415i | ||||
\(853\) | 3.07507 | + | 2.58029i | 0.105288 | + | 0.0883475i | 0.693912 | − | 0.720060i | \(-0.255886\pi\) |
−0.588624 | + | 0.808407i | \(0.700330\pi\) | |||||||
\(854\) | 48.1485 | 1.64761 | ||||||||
\(855\) | −3.51831 | − | 6.77468i | −0.120324 | − | 0.231689i | ||||
\(856\) | 12.0317 | 0.411234 | ||||||||
\(857\) | −14.4590 | − | 12.1326i | −0.493911 | − | 0.414441i | 0.361514 | − | 0.932367i | \(-0.382260\pi\) |
−0.855426 | + | 0.517926i | \(0.826704\pi\) | |||||||
\(858\) | 4.87967 | − | 6.32334i | 0.166589 | − | 0.215875i | ||||
\(859\) | −5.24029 | − | 29.7192i | −0.178796 | − | 1.01400i | −0.933670 | − | 0.358135i | \(-0.883413\pi\) |
0.754874 | − | 0.655870i | \(-0.227698\pi\) | |||||||
\(860\) | 0.0967763 | + | 0.265891i | 0.00330004 | + | 0.00906680i | ||||
\(861\) | −15.1299 | − | 16.6025i | −0.515626 | − | 0.565813i | ||||
\(862\) | −2.18129 | + | 3.77811i | −0.0742952 | + | 0.128683i | ||||
\(863\) | 2.77666 | − | 4.80931i | 0.0945184 | − | 0.163711i | −0.814889 | − | 0.579617i | \(-0.803202\pi\) |
0.909408 | + | 0.415906i | \(0.136536\pi\) | |||||||
\(864\) | −16.2365 | − | 15.1255i | −0.552376 | − | 0.514581i | ||||
\(865\) | −1.56536 | + | 4.30080i | −0.0532239 | + | 0.146231i | ||||
\(866\) | 8.14928i | 0.276924i | ||||||||
\(867\) | −6.40324 | − | 3.35566i | −0.217466 | − | 0.113964i | ||||
\(868\) | 2.05728 | − | 5.65234i | 0.0698287 | − | 0.191853i | ||||
\(869\) | −0.524906 | + | 0.191050i | −0.0178062 | + | 0.00648093i | ||||
\(870\) | 0.549684 | + | 2.51204i | 0.0186360 | + | 0.0851660i | ||||
\(871\) | 15.3531 | − | 5.58807i | 0.520219 | − | 0.189344i | ||||
\(872\) | −6.38276 | − | 17.5365i | −0.216148 | − | 0.593861i | ||||
\(873\) | −0.898238 | − | 10.9586i | −0.0304008 | − | 0.370894i | ||||
\(874\) | 17.3670 | + | 41.3985i | 0.587449 | + | 1.40033i | ||||
\(875\) | 12.2828 | − | 7.09149i | 0.415235 | − | 0.239736i | ||||
\(876\) | −7.09372 | − | 17.2594i | −0.239674 | − | 0.583142i | ||||
\(877\) | −22.9693 | + | 27.3737i | −0.775617 | + | 0.924344i | −0.998727 | − | 0.0504489i | \(-0.983935\pi\) |
0.223110 | + | 0.974793i | \(0.428379\pi\) | |||||||
\(878\) | −27.0815 | + | 4.77519i | −0.913955 | + | 0.161155i | ||||
\(879\) | −33.0450 | + | 42.8215i | −1.11458 | + | 1.44433i | ||||
\(880\) | −0.897117 | + | 0.752771i | −0.0302418 | + | 0.0253759i | ||||
\(881\) | −12.2972 | + | 7.09981i | −0.414305 | + | 0.239199i | −0.692638 | − | 0.721286i | \(-0.743551\pi\) |
0.278333 | + | 0.960485i | \(0.410218\pi\) | |||||||
\(882\) | −1.92289 | − | 2.77847i | −0.0647471 | − | 0.0935561i | ||||
\(883\) | 3.10982 | + | 1.13188i | 0.104654 | + | 0.0380909i | 0.393816 | − | 0.919189i | \(-0.371155\pi\) |
−0.289163 | + | 0.957280i | \(0.593377\pi\) | |||||||
\(884\) | 4.34172 | + | 24.6231i | 0.146028 | + | 0.828164i | ||||
\(885\) | 4.09928 | + | 6.47367i | 0.137796 | + | 0.217610i | ||||
\(886\) | − | 27.4014i | − | 0.920567i | ||||||
\(887\) | 38.9812 | + | 14.1880i | 1.30886 | + | 0.476386i | 0.899872 | − | 0.436154i | \(-0.143660\pi\) |
0.408988 | + | 0.912540i | \(0.365882\pi\) | |||||||
\(888\) | 3.25535 | − | 24.2137i | 0.109243 | − | 0.812559i | ||||
\(889\) | −12.9710 | + | 35.6375i | −0.435033 | + | 1.19524i | ||||
\(890\) | −8.50775 | − | 1.50015i | −0.285180 | − | 0.0502850i | ||||
\(891\) | −3.64070 | − | 0.0399265i | −0.121968 | − | 0.00133759i | ||||
\(892\) | 11.0168i | 0.368870i | ||||||||
\(893\) | 17.1878 | + | 8.84909i | 0.575168 | + | 0.296123i | ||||
\(894\) | 31.4242 | + | 49.6259i | 1.05098 | + | 1.65974i | ||||
\(895\) | 0.218324 | + | 0.0384964i | 0.00729777 | + | 0.00128679i | ||||
\(896\) | 25.4007 | + | 21.3137i | 0.848578 | + | 0.712042i | ||||
\(897\) | −71.0150 | + | 15.5395i | −2.37112 | + | 0.518849i | ||||
\(898\) | −7.35685 | + | 41.7228i | −0.245501 | + | 1.39231i | ||||
\(899\) | −4.49194 | + | 0.792050i | −0.149815 | + | 0.0264163i | ||||
\(900\) | −11.1063 | + | 0.910342i | −0.370210 | + | 0.0303447i | ||||
\(901\) | −13.6829 | − | 7.89984i | −0.455844 | − | 0.263182i | ||||
\(902\) | 3.43555 | − | 0.605780i | 0.114391 | − | 0.0201703i | ||||
\(903\) | 0.803396 | − | 2.52390i | 0.0267353 | − | 0.0839901i | ||||
\(904\) | 20.2036 | + | 34.9936i | 0.671960 | + | 1.16387i | ||||
\(905\) | 7.42807 | 0.246917 | ||||||||
\(906\) | −0.552471 | − | 2.52477i | −0.0183546 | − | 0.0838800i | ||||
\(907\) | 18.6843 | + | 3.29455i | 0.620403 | + | 0.109394i | 0.475010 | − | 0.879980i | \(-0.342444\pi\) |
0.145393 | + | 0.989374i | \(0.453555\pi\) | |||||||
\(908\) | −5.93161 | + | 4.97721i | −0.196847 | + | 0.165175i | ||||
\(909\) | −26.5482 | − | 2.46942i | −0.880549 | − | 0.0819056i | ||||
\(910\) | 15.7282 | − | 5.72459i | 0.521384 | − | 0.189768i | ||||
\(911\) | −8.73004 | − | 15.1209i | −0.289239 | − | 0.500977i | 0.684389 | − | 0.729117i | \(-0.260069\pi\) |
−0.973628 | + | 0.228140i | \(0.926736\pi\) | |||||||
\(912\) | −3.32899 | − | 37.2905i | −0.110234 | − | 1.23481i | ||||
\(913\) | −2.66190 | + | 4.61055i | −0.0880961 | + | 0.152587i | ||||
\(914\) | −6.30363 | + | 35.7497i | −0.208506 | + | 1.18249i | ||||
\(915\) | −10.7039 | + | 4.39937i | −0.353861 | + | 0.145439i | ||||
\(916\) | 1.68444 | + | 0.613086i | 0.0556555 | + | 0.0202569i | ||||
\(917\) | −13.6362 | + | 16.2510i | −0.450309 | + | 0.536657i | ||||
\(918\) | 27.2581 | − | 29.2602i | 0.899652 | − | 0.965730i | ||||
\(919\) | −20.9664 | − | 36.3149i | −0.691619 | − | 1.19792i | −0.971307 | − | 0.237828i | \(-0.923565\pi\) |
0.279689 | − | 0.960091i | \(-0.409769\pi\) | |||||||
\(920\) | 7.23152 | 0.238416 | ||||||||
\(921\) | −4.19587 | − | 19.1750i | −0.138259 | − | 0.631838i | ||||
\(922\) | −25.0180 | − | 29.8152i | −0.823923 | − | 0.981913i | ||||
\(923\) | 39.3670 | − | 22.7285i | 1.29578 | − | 0.748119i | ||||
\(924\) | −1.40391 | + | 0.0574404i | −0.0461853 | + | 0.00188965i | ||||
\(925\) | −21.0004 | − | 25.0273i | −0.690489 | − | 0.822892i | ||||
\(926\) | 32.0434 | + | 26.8876i | 1.05301 | + | 0.883583i | ||||
\(927\) | 0.219809 | − | 0.802708i | 0.00721949 | − | 0.0263644i | ||||
\(928\) | −1.12762 | + | 6.39507i | −0.0370160 | + | 0.209928i | ||||
\(929\) | 9.16238 | − | 10.9193i | 0.300608 | − | 0.358251i | −0.594503 | − | 0.804093i | \(-0.702651\pi\) |
0.895112 | + | 0.445842i | \(0.147096\pi\) | |||||||
\(930\) | 0.207372 | + | 5.06842i | 0.00679999 | + | 0.166200i | ||||
\(931\) | 0.370021 | − | 2.91204i | 0.0121269 | − | 0.0954381i | ||||
\(932\) | −19.9488 | − | 11.5175i | −0.653446 | − | 0.377267i | ||||
\(933\) | 38.9636 | − | 16.0143i | 1.27561 | − | 0.524283i | ||||
\(934\) | 9.03487 | + | 24.8231i | 0.295630 | + | 0.812236i | ||||
\(935\) | −0.698518 | − | 0.832462i | −0.0228440 | − | 0.0272244i | ||||
\(936\) | 40.9539 | + | 3.80939i | 1.33862 | + | 0.124514i | ||||
\(937\) | −5.18260 | − | 29.3920i | −0.169308 | − | 0.960194i | −0.944511 | − | 0.328481i | \(-0.893463\pi\) |
0.775203 | − | 0.631713i | \(-0.217648\pi\) | |||||||
\(938\) | −8.73349 | − | 5.04228i | −0.285159 | − | 0.164636i | ||||
\(939\) | 19.0156 | − | 12.0411i | 0.620551 | − | 0.392947i | ||||
\(940\) | −1.58120 | + | 1.32678i | −0.0515730 | + | 0.0432749i | ||||
\(941\) | 34.8696 | − | 29.2590i | 1.13672 | − | 0.953817i | 0.137389 | − | 0.990517i | \(-0.456129\pi\) |
0.999326 | + | 0.0366997i | \(0.0116845\pi\) | |||||||
\(942\) | −0.797791 | − | 19.4990i | −0.0259934 | − | 0.635311i | ||||
\(943\) | −27.4971 | − | 15.8754i | −0.895427 | − | 0.516975i | ||||
\(944\) | 6.52555 | + | 37.0083i | 0.212389 | + | 1.20452i | ||||
\(945\) | −6.40090 | − | 4.15222i | −0.208221 | − | 0.135072i | ||||
\(946\) | 0.264415 | + | 0.315118i | 0.00859688 | + | 0.0102454i | ||||
\(947\) | −19.6062 | − | 53.8677i | −0.637118 | − | 1.75047i | −0.660596 | − | 0.750742i | \(-0.729696\pi\) |
0.0234784 | − | 0.999724i | \(-0.492526\pi\) | |||||||
\(948\) | 1.50948 | + | 1.16486i | 0.0490257 | + | 0.0378327i | ||||
\(949\) | 79.7629 | + | 46.0511i | 2.58921 | + | 1.49488i | ||||
\(950\) | −27.0407 | − | 20.5559i | −0.877315 | − | 0.666921i | ||||
\(951\) | 5.38099 | + | 2.81994i | 0.174491 | + | 0.0914429i | ||||
\(952\) | −14.9656 | + | 17.8353i | −0.485038 | + | 0.578046i | ||||
\(953\) | −3.12608 | + | 17.7289i | −0.101264 | + | 0.574294i | 0.891384 | + | 0.453250i | \(0.149735\pi\) |
−0.992647 | + | 0.121044i | \(0.961376\pi\) | |||||||
\(954\) | 12.2487 | − | 12.1151i | 0.396565 | − | 0.392240i | ||||
\(955\) | −8.76689 | − | 7.35629i | −0.283690 | − | 0.238044i | ||||
\(956\) | −5.17857 | − | 6.17158i | −0.167487 | − | 0.199603i | ||||
\(957\) | 0.570014 | + | 0.900179i | 0.0184259 | + | 0.0290987i | ||||
\(958\) | 37.2168 | − | 21.4871i | 1.20242 | − | 0.694218i | ||||
\(959\) | 25.2035 | + | 30.0363i | 0.813862 | + | 0.969923i | ||||
\(960\) | −2.67403 | − | 0.851186i | −0.0863041 | − | 0.0274719i | ||||
\(961\) | 22.0022 | 0.709748 | ||||||||
\(962\) | −39.9654 | − | 69.2221i | −1.28854 | − | 2.23181i | ||||
\(963\) | −17.3062 | − | 4.73904i | −0.557685 | − | 0.152714i | ||||
\(964\) | 3.41168 | − | 4.06588i | 0.109883 | − | 0.130953i | ||||
\(965\) | −0.0478645 | − | 0.0174212i | −0.00154081 | − | 0.000560809i | ||||
\(966\) | 35.5226 | + | 27.4125i | 1.14292 | + | 0.881982i | ||||
\(967\) | −1.26590 | + | 7.17925i | −0.0407085 | + | 0.230869i | −0.998373 | − | 0.0570165i | \(-0.981841\pi\) |
0.957665 | + | 0.287886i | \(0.0929523\pi\) | |||||||
\(968\) | 10.8992 | − | 18.8780i | 0.350315 | − | 0.606763i | ||||
\(969\) | 34.6030 | − | 3.08907i | 1.11161 | − | 0.0992353i | ||||
\(970\) | 1.78923 | + | 3.09904i | 0.0574488 | + | 0.0995042i | ||||
\(971\) | 5.85755 | − | 2.13197i | 0.187978 | − | 0.0684183i | −0.246316 | − | 0.969190i | \(-0.579220\pi\) |
0.434294 | + | 0.900771i | \(0.356998\pi\) | |||||||
\(972\) | 6.53314 | + | 10.5720i | 0.209550 | + | 0.339098i | ||||
\(973\) | −10.8393 | + | 9.09524i | −0.347491 | + | 0.291580i | ||||
\(974\) | −32.8630 | − | 5.79463i | −1.05300 | − | 0.185672i | ||||
\(975\) | 40.6531 | − | 37.0472i | 1.30194 | − | 1.18646i | ||||
\(976\) | −56.7568 | −1.81674 | ||||||||
\(977\) | 7.86310 | + | 13.6193i | 0.251563 | + | 0.435719i | 0.963956 | − | 0.266061i | \(-0.0857222\pi\) |
−0.712394 | + | 0.701780i | \(0.752389\pi\) | |||||||
\(978\) | 28.9489 | + | 31.7665i | 0.925682 | + | 1.01578i | ||||
\(979\) | −3.52514 | + | 0.621577i | −0.112664 | + | 0.0198657i | ||||
\(980\) | 0.271432 | + | 0.156711i | 0.00867057 | + | 0.00500596i | ||||
\(981\) | 2.27361 | + | 27.7384i | 0.0725907 | + | 0.885618i | ||||
\(982\) | −69.2627 | + | 12.2129i | −2.21026 | + | 0.389729i | ||||
\(983\) | 1.40366 | − | 7.96055i | 0.0447698 | − | 0.253902i | −0.954206 | − | 0.299150i | \(-0.903297\pi\) |
0.998976 | + | 0.0452483i | \(0.0144079\pi\) | |||||||
\(984\) | 12.1003 | + | 13.2780i | 0.385743 | + | 0.423288i | ||||
\(985\) | −6.52466 | − | 5.47484i | −0.207893 | − | 0.174443i | ||||
\(986\) | −11.5247 | − | 2.03212i | −0.367022 | − | 0.0647158i | ||||
\(987\) | 19.3055 | − | 0.789875i | 0.614502 | − | 0.0251420i | ||||
\(988\) | −16.0798 | − | 17.3899i | −0.511566 | − | 0.553245i | ||||
\(989\) | − | 3.74395i | − | 0.119051i | ||||||
\(990\) | 1.07665 | − | 0.494882i | 0.0342182 | − | 0.0157284i | ||||
\(991\) | −46.4300 | − | 8.18687i | −1.47490 | − | 0.260064i | −0.622361 | − | 0.782730i | \(-0.713827\pi\) |
−0.852538 | + | 0.522666i | \(0.824938\pi\) | |||||||
\(992\) | −4.38126 | + | 12.0374i | −0.139105 | + | 0.382188i | ||||
\(993\) | −23.2557 | + | 9.55823i | −0.737998 | + | 0.303321i | ||||
\(994\) | −26.3654 | − | 9.59623i | −0.836260 | − | 0.304374i | ||||
\(995\) | − | 5.38251i | − | 0.170637i | ||||||
\(996\) | 18.1569 | − | 0.742879i | 0.575323 | − | 0.0235390i | ||||
\(997\) | −0.765922 | − | 4.34376i | −0.0242570 | − | 0.137568i | 0.970274 | − | 0.242008i | \(-0.0778061\pi\) |
−0.994531 | + | 0.104440i | \(0.966695\pi\) | |||||||
\(998\) | −8.89254 | − | 3.23662i | −0.281488 | − | 0.102453i | ||||
\(999\) | −14.2198 | + | 33.5465i | −0.449894 | + | 1.06137i |
(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 | 171.2.x.a.14.14 | ✓ | 108 | |
3.2 | odd | 2 | 513.2.bo.a.71.5 | 108 | |||
9.2 | odd | 6 | 171.2.bd.a.128.5 | yes | 108 | ||
9.7 | even | 3 | 513.2.cd.a.413.14 | 108 | |||
19.15 | odd | 18 | 171.2.bd.a.167.5 | yes | 108 | ||
57.53 | even | 18 | 513.2.cd.a.395.14 | 108 | |||
171.34 | odd | 18 | 513.2.bo.a.224.5 | 108 | |||
171.110 | even | 18 | inner | 171.2.x.a.110.14 | yes | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
171.2.x.a.14.14 | ✓ | 108 | 1.1 | even | 1 | trivial | |
171.2.x.a.110.14 | yes | 108 | 171.110 | even | 18 | inner | |
171.2.bd.a.128.5 | yes | 108 | 9.2 | odd | 6 | ||
171.2.bd.a.167.5 | yes | 108 | 19.15 | odd | 18 | ||
513.2.bo.a.71.5 | 108 | 3.2 | odd | 2 | |||
513.2.bo.a.224.5 | 108 | 171.34 | odd | 18 | |||
513.2.cd.a.395.14 | 108 | 57.53 | even | 18 | |||
513.2.cd.a.413.14 | 108 | 9.7 | even | 3 |