Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [572,2,Mod(9,572)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(572, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 18, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("572.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 572 = 2^{2} \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 572.bg (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.56744299562\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 9.6 | ||
Character | \(\chi\) | \(=\) | 572.9 |
Dual form | 572.2.bg.a.445.6 |
$q$-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 \(\left(\mathbb{Z}/572\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(353\) | \(365\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{3}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.0694093 | − | 0.660385i | −0.0400735 | − | 0.381274i | −0.996116 | − | 0.0880467i | \(-0.971938\pi\) |
0.956043 | − | 0.293227i | \(-0.0947291\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.596743 | − | 1.83659i | −0.266872 | − | 0.821346i | −0.991256 | − | 0.131950i | \(-0.957876\pi\) |
0.724385 | − | 0.689396i | \(-0.242124\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.373949 | + | 3.55789i | −0.141339 | + | 1.34476i | 0.662121 | + | 0.749397i | \(0.269657\pi\) |
−0.803460 | + | 0.595358i | \(0.797010\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.50315 | − | 0.532061i | 0.834384 | − | 0.177354i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.296716 | + | 3.30333i | 0.0894631 | + | 0.995990i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.59752 | − | 0.240552i | 0.997772 | − | 0.0667171i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.17143 | + | 0.521556i | −0.302463 | + | 0.134665i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.31217 | − | 1.45731i | 0.318247 | − | 0.353449i | −0.562702 | − | 0.826659i | \(-0.690238\pi\) |
0.880949 | + | 0.473211i | \(0.156905\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.403370 | + | 0.179592i | 0.0925393 | + | 0.0412012i | 0.452484 | − | 0.891772i | \(-0.350538\pi\) |
−0.359945 | + | 0.932974i | \(0.617205\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.37553 | 0.518384 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 2.75014 | − | 4.76339i | 0.573444 | − | 0.993235i | −0.422764 | − | 0.906240i | \(-0.638940\pi\) |
0.996209 | − | 0.0869952i | \(-0.0277265\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.02814 | − | 0.746987i | 0.205628 | − | 0.149397i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −1.14069 | − | 3.51068i | −0.219526 | − | 0.675631i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 4.83102 | − | 2.15091i | 0.897098 | − | 0.399414i | 0.0942162 | − | 0.995552i | \(-0.469965\pi\) |
0.802882 | + | 0.596138i | \(0.203299\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.523420 | − | 1.61092i | 0.0940090 | − | 0.289330i | −0.892985 | − | 0.450086i | \(-0.851393\pi\) |
0.986994 | + | 0.160756i | \(0.0513933\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 2.16087 | − | 0.425228i | 0.376160 | − | 0.0740227i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 6.75752 | − | 1.43635i | 1.14223 | − | 0.242788i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −7.83466 | + | 3.48821i | −1.28801 | + | 0.573459i | −0.932485 | − | 0.361208i | \(-0.882364\pi\) |
−0.355525 | + | 0.934667i | \(0.615698\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −0.408558 | − | 2.35905i | −0.0654217 | − | 0.377750i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −0.663858 | − | 6.31619i | −0.103677 | − | 0.986423i | −0.915445 | − | 0.402443i | \(-0.868161\pi\) |
0.811768 | − | 0.583980i | \(-0.198505\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.33947 | + | 7.51618i | 0.661763 | + | 1.14621i | 0.980152 | + | 0.198247i | \(0.0635248\pi\) |
−0.318389 | + | 0.947960i | \(0.603142\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −2.47091 | − | 4.27975i | −0.368342 | − | 0.637987i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 1.63874 | − | 1.19061i | 0.239035 | − | 0.173669i | −0.461818 | − | 0.886974i | \(-0.652803\pi\) |
0.700853 | + | 0.713306i | \(0.252803\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.67170 | − | 1.20556i | −0.810242 | − | 0.172222i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −1.05346 | − | 0.765384i | −0.147514 | − | 0.107175i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −2.00019 | + | 6.15594i | −0.274747 | + | 0.845584i | 0.714540 | + | 0.699595i | \(0.246636\pi\) |
−0.989286 | + | 0.145988i | \(0.953364\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 5.88978 | − | 2.51618i | 0.794177 | − | 0.339282i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.0906021 | − | 0.278845i | 0.0120005 | − | 0.0369339i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −0.660129 | + | 6.28071i | −0.0859415 | + | 0.817679i | 0.863630 | + | 0.504127i | \(0.168186\pi\) |
−0.949571 | + | 0.313552i | \(0.898481\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.94065 | + | 3.26592i | −0.376512 | + | 0.418159i | −0.901383 | − | 0.433023i | \(-0.857447\pi\) |
0.524871 | + | 0.851182i | \(0.324114\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0.956963 | + | 9.10490i | 0.120566 | + | 1.14711i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −2.58859 | − | 6.46360i | −0.321075 | − | 0.801711i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.387949 | + | 0.671947i | −0.0473955 | + | 0.0820914i | −0.888750 | − | 0.458392i | \(-0.848425\pi\) |
0.841354 | + | 0.540484i | \(0.181759\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −3.33656 | − | 1.48553i | −0.401674 | − | 0.178837i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −0.187482 | + | 0.208220i | −0.0222500 | + | 0.0247112i | −0.754167 | − | 0.656683i | \(-0.771959\pi\) |
0.731917 | + | 0.681394i | \(0.238626\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 11.6845 | + | 8.48929i | 1.36757 | + | 0.993597i | 0.997923 | + | 0.0644241i | \(0.0205210\pi\) |
0.369646 | + | 0.929173i | \(0.379479\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −0.564662 | − | 0.627121i | −0.0652015 | − | 0.0724136i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −11.8638 | − | 0.179595i | −1.35201 | − | 0.0204668i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.115224 | + | 0.354622i | −0.0129637 | + | 0.0398981i | −0.957329 | − | 0.289000i | \(-0.906677\pi\) |
0.944365 | + | 0.328898i | \(0.106677\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 4.77426 | − | 2.12564i | 0.530473 | − | 0.236182i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 0.852596 | + | 2.62402i | 0.0935845 | + | 0.288024i | 0.986882 | − | 0.161442i | \(-0.0516145\pi\) |
−0.893298 | + | 0.449466i | \(0.851614\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.45950 | − | 1.54027i | −0.375235 | − | 0.167065i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −1.75575 | − | 3.04104i | −0.188236 | − | 0.326034i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 3.10372 | − | 5.37580i | 0.328993 | − | 0.569833i | −0.653319 | − | 0.757083i | \(-0.726624\pi\) |
0.982312 | + | 0.187249i | \(0.0599573\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.489431 | + | 12.8895i | −0.0513063 | + | 1.35119i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −1.10016 | − | 0.233846i | −0.114081 | − | 0.0242487i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0.0891276 | − | 0.847993i | 0.00914430 | − | 0.0870022i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.66133 | + | 0.990797i | −0.473286 | + | 0.100600i | −0.438379 | − | 0.898790i | \(-0.644447\pi\) |
−0.0349078 | + | 0.999391i | \(0.511114\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 2.50030 | + | 8.11085i | 0.251289 | + | 0.815172i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −5.18901 | − | 5.76298i | −0.516326 | − | 0.573438i | 0.427443 | − | 0.904042i | \(-0.359414\pi\) |
−0.943770 | + | 0.330604i | \(0.892748\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −11.2330 | − | 8.16126i | −1.10682 | − | 0.804153i | −0.124662 | − | 0.992199i | \(-0.539785\pi\) |
−0.982160 | + | 0.188046i | \(0.939785\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −1.41758 | − | 4.36287i | −0.138342 | − | 0.425772i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 0.785366 | + | 7.47226i | 0.0759242 | + | 0.722370i | 0.964579 | + | 0.263794i | \(0.0849738\pi\) |
−0.888655 | + | 0.458577i | \(0.848359\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −1.99560 | −0.191144 | −0.0955718 | − | 0.995423i | \(-0.530468\pi\) | ||||
−0.0955718 | + | 0.995423i | \(0.530468\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 2.84736 | + | 4.93178i | 0.270260 | + | 0.468104i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −6.52571 | − | 2.90543i | −0.613887 | − | 0.273320i | 0.0761473 | − | 0.997097i | \(-0.475738\pi\) |
−0.690035 | + | 0.723776i | \(0.742405\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −10.3895 | − | 2.20836i | −0.968826 | − | 0.205930i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 8.87714 | − | 2.51624i | 0.820692 | − | 0.232626i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 4.69425 | + | 5.21350i | 0.430322 | + | 0.477920i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.8239 | + | 1.96030i | −0.983993 | + | 0.178209i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −4.12504 | + | 0.876804i | −0.371942 | + | 0.0790588i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −9.79691 | − | 7.11787i | −0.876262 | − | 0.636642i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −8.06917 | − | 1.71516i | −0.716023 | − | 0.152195i | −0.164527 | − | 0.986373i | \(-0.552610\pi\) |
−0.551497 | + | 0.834177i | \(0.685943\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 4.66238 | − | 3.38741i | 0.410499 | − | 0.298245i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 6.93275 | 0.605717 | 0.302859 | − | 0.953035i | \(-0.402059\pi\) | ||||
0.302859 | + | 0.953035i | \(0.402059\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.789807 | + | 1.36799i | −0.0684849 | + | 0.118619i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −5.76697 | + | 4.18995i | −0.496342 | + | 0.360614i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 9.45614 | − | 10.5021i | 0.807892 | − | 0.897255i | −0.188504 | − | 0.982072i | \(-0.560364\pi\) |
0.996397 | + | 0.0848171i | \(0.0270306\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.55568 | − | 14.8013i | 0.131951 | − | 1.25543i | −0.705416 | − | 0.708793i | \(-0.749240\pi\) |
0.837368 | − | 0.546640i | \(-0.184093\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −0.900007 | − | 0.999559i | −0.0757943 | − | 0.0841781i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 1.86206 | + | 11.8124i | 0.155713 | + | 0.987802i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −6.83321 | − | 7.58905i | −0.567467 | − | 0.630236i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −0.402463 | + | 3.82918i | −0.0331946 | + | 0.315826i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −8.38364 | + | 9.31097i | −0.686814 | + | 0.762784i | −0.981219 | − | 0.192896i | \(-0.938212\pi\) |
0.294405 | + | 0.955681i | \(0.404879\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −8.42520 | + | 6.12126i | −0.685633 | + | 0.498141i | −0.875222 | − | 0.483722i | \(-0.839284\pi\) |
0.189589 | + | 0.981864i | \(0.439284\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 2.50917 | − | 4.34601i | 0.202855 | − | 0.351354i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −3.27094 | −0.262728 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −16.1665 | + | 11.7457i | −1.29023 | + | 0.937405i | −0.999810 | − | 0.0194946i | \(-0.993794\pi\) |
−0.290418 | + | 0.956900i | \(0.593794\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 4.20412 | + | 0.893614i | 0.333409 | + | 0.0708682i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 15.9192 | + | 11.5660i | 1.25461 | + | 0.911526i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −17.9456 | + | 3.81446i | −1.40561 | + | 0.298771i | −0.847411 | − | 0.530937i | \(-0.821840\pi\) |
−0.558197 | + | 0.829709i | \(0.688507\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −2.07045 | − | 3.71488i | −0.161185 | − | 0.289203i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −14.3987 | − | 15.9914i | −1.11421 | − | 1.23745i | −0.968738 | − | 0.248087i | \(-0.920198\pi\) |
−0.145468 | − | 0.989363i | \(-0.546469\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.8843 | − | 1.73078i | 0.991098 | − | 0.133137i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.10525 | + | 0.234928i | 0.0845205 | + | 0.0179654i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 3.01956 | + | 1.34439i | 0.229573 | + | 0.102212i | 0.518300 | − | 0.855199i | \(-0.326565\pi\) |
−0.288727 | + | 0.957412i | \(0.593232\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.27323 | + | 3.93734i | 0.171840 | + | 0.297635i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 4.19351 | 0.315203 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 1.89275 | + | 18.0083i | 0.141471 | + | 1.34600i | 0.802952 | + | 0.596043i | \(0.203261\pi\) |
−0.661481 | + | 0.749962i | \(0.730072\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.42543 | + | 4.38703i | 0.105952 | + | 0.326086i | 0.989953 | − | 0.141399i | \(-0.0451602\pi\) |
−0.884001 | + | 0.467485i | \(0.845160\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 2.36088 | + | 1.71528i | 0.174521 | + | 0.126797i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 11.0817 | + | 12.3075i | 0.814741 | + | 0.904862i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 5.20330 | + | 3.90210i | 0.380503 | + | 0.285350i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 12.9172 | − | 2.74563i | 0.939587 | − | 0.199715i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 1.68965 | − | 16.0759i | 0.122258 | − | 1.16321i | −0.745598 | − | 0.666396i | \(-0.767836\pi\) |
0.867856 | − | 0.496815i | \(-0.165497\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −10.8562 | − | 2.30757i | −0.781450 | − | 0.166102i | −0.200121 | − | 0.979771i | \(-0.564134\pi\) |
−0.581328 | + | 0.813669i | \(0.697467\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −4.08880 | + | 2.15810i | −0.292805 | + | 0.154545i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 2.00057 | − | 3.46508i | 0.142534 | − | 0.246877i | −0.785916 | − | 0.618333i | \(-0.787808\pi\) |
0.928450 | + | 0.371457i | \(0.121142\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 5.18148 | + | 8.97458i | 0.367305 | + | 0.636191i | 0.989143 | − | 0.146955i | \(-0.0469472\pi\) |
−0.621838 | + | 0.783146i | \(0.713614\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0.470671 | + | 0.209556i | 0.0331986 | + | 0.0147810i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 5.84614 | + | 17.9926i | 0.410319 | + | 1.26283i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −11.2041 | + | 4.98837i | −0.782526 | + | 0.348403i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 4.34961 | − | 13.3867i | 0.302319 | − | 0.930442i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −0.473564 | + | 1.38575i | −0.0327571 | + | 0.0958542i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −16.9078 | − | 18.7780i | −1.16398 | − | 1.29273i | −0.948700 | − | 0.316177i | \(-0.897601\pi\) |
−0.215278 | − | 0.976553i | \(-0.569066\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0.150519 | + | 0.109358i | 0.0103134 | + | 0.00749309i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 11.2146 | − | 12.4550i | 0.764827 | − | 0.849426i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 5.53575 | + | 2.46467i | 0.375791 | + | 0.167313i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 4.79519 | − | 8.30551i | 0.324029 | − | 0.561235i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 4.36998 | − | 5.55833i | 0.293957 | − | 0.373894i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1.25376 | + | 11.9288i | 0.0839581 | + | 0.798808i | 0.952776 | + | 0.303676i | \(0.0982139\pi\) |
−0.868817 | + | 0.495133i | \(0.835119\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 2.17615 | − | 2.41686i | 0.145076 | − | 0.161124i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −0.933964 | + | 8.88607i | −0.0619894 | + | 0.589789i | 0.918801 | + | 0.394722i | \(0.129159\pi\) |
−0.980790 | + | 0.195067i | \(0.937508\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 6.36729 | − | 19.5965i | 0.420763 | − | 1.29497i | −0.486231 | − | 0.873830i | \(-0.661629\pi\) |
0.906994 | − | 0.421144i | \(-0.138371\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0.704857 | + | 7.84716i | 0.0463762 | + | 0.516305i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 4.65279 | − | 14.3198i | 0.304814 | − | 0.938122i | −0.674932 | − | 0.737880i | \(-0.735827\pi\) |
0.979746 | − | 0.200242i | \(-0.0641728\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −3.16457 | − | 2.29919i | −0.206434 | − | 0.149983i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0.242185 | + | 0.0514780i | 0.0157316 | + | 0.00334386i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 10.6335 | − | 7.72570i | 0.687825 | − | 0.499734i | −0.188119 | − | 0.982146i | \(-0.560239\pi\) |
0.875944 | + | 0.482412i | \(0.160239\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −12.6539 | − | 21.9172i | −0.815110 | − | 1.41181i | −0.909249 | − | 0.416253i | \(-0.863343\pi\) |
0.0941386 | − | 0.995559i | \(-0.469990\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −7.27215 | − | 12.5957i | −0.466508 | − | 0.808016i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 1.17044 | + | 11.1360i | 0.0747765 | + | 0.711451i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.49433 | + | 0.549053i | 0.0950820 | + | 0.0349354i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 1.67369 | − | 0.745173i | 0.106066 | − | 0.0472234i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 10.7226 | − | 2.27916i | 0.676804 | − | 0.143859i | 0.143329 | − | 0.989675i | \(-0.454219\pi\) |
0.533475 | + | 0.845816i | \(0.320886\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 16.5510 | + | 7.67125i | 1.04055 | + | 0.482287i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −0.777048 | + | 2.39151i | −0.0486606 | + | 0.149762i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −26.0036 | + | 11.5775i | −1.62206 | + | 0.722187i | −0.998236 | − | 0.0593775i | \(-0.981088\pi\) |
−0.623824 | + | 0.781565i | \(0.714422\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −9.48091 | − | 29.1793i | −0.589115 | − | 1.81311i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 10.9484 | − | 7.95445i | 0.677687 | − | 0.492368i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −11.6538 | + | 20.1850i | −0.718604 | + | 1.24466i | 0.242949 | + | 0.970039i | \(0.421885\pi\) |
−0.961553 | + | 0.274620i | \(0.911448\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 12.4995 | 0.767839 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −3.76552 | − | 1.67652i | −0.230446 | − | 0.102601i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 19.9710 | − | 22.1800i | 1.21765 | − | 1.35234i | 0.300508 | − | 0.953779i | \(-0.402844\pi\) |
0.917143 | − | 0.398559i | \(-0.130490\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −9.14427 | + | 4.07129i | −0.555475 | + | 0.247313i | −0.665221 | − | 0.746646i | \(-0.731663\pi\) |
0.109747 | + | 0.993960i | \(0.464996\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 8.54602 | − | 0.571439i | 0.517229 | − | 0.0345851i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 2.77261 | + | 3.17464i | 0.167195 | + | 0.191438i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −16.8041 | + | 3.57183i | −1.00966 | + | 0.214611i | −0.682913 | − | 0.730500i | \(-0.739287\pi\) |
−0.326751 | + | 0.945111i | \(0.605954\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0.453091 | − | 4.31087i | 0.0271259 | − | 0.258085i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 9.48935 | + | 29.2052i | 0.566087 | + | 1.74224i | 0.664698 | + | 0.747112i | \(0.268560\pi\) |
−0.0986108 | + | 0.995126i | \(0.531440\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −0.986122 | − | 9.38232i | −0.0586188 | − | 0.557721i | −0.983935 | − | 0.178525i | \(-0.942867\pi\) |
0.925316 | − | 0.379196i | \(-0.123799\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −0.566188 | −0.0335381 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 22.7205 | 1.34115 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 1.37502 | + | 13.0824i | 0.0808834 | + | 0.769554i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0.977847 | + | 3.00950i | 0.0573224 | + | 0.176420i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 1.41442 | − | 13.4573i | 0.0826312 | − | 0.786183i | −0.872223 | − | 0.489108i | \(-0.837322\pi\) |
0.954854 | − | 0.297075i | \(-0.0960111\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 11.9290 | − | 2.53559i | 0.694533 | − | 0.147627i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 11.2585 | − | 4.80975i | 0.653283 | − | 0.279090i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 8.74785 | − | 17.7979i | 0.505901 | − | 1.02928i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −28.3645 | + | 12.6287i | −1.63490 | + | 0.727905i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −3.44562 | + | 3.82675i | −0.197946 | + | 0.219841i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 7.75296 | + | 3.45184i | 0.443933 | + | 0.197652i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 33.4366 | 1.90833 | 0.954163 | − | 0.299287i | \(-0.0967490\pi\) | ||||
0.954163 | + | 0.299287i | \(0.0967490\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −4.60990 | + | 7.98458i | −0.262248 | + | 0.454227i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 0.832146 | − | 0.604589i | 0.0471867 | − | 0.0342831i | −0.563942 | − | 0.825814i | \(-0.690716\pi\) |
0.611129 | + | 0.791531i | \(0.290716\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 5.36875 | + | 16.5233i | 0.303460 | + | 0.933953i | 0.980248 | + | 0.197775i | \(0.0633714\pi\) |
−0.676788 | + | 0.736178i | \(0.736629\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 16.1509 | − | 7.19083i | 0.909998 | − | 0.405157i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −5.26704 | + | 16.2103i | −0.295827 | + | 0.910460i | 0.687116 | + | 0.726548i | \(0.258876\pi\) |
−0.982943 | + | 0.183913i | \(0.941124\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 8.53859 | + | 15.3202i | 0.478070 | + | 0.857768i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 4.88006 | − | 1.03729i | 0.272378 | − | 0.0578958i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0.791008 | − | 0.352179i | 0.0440129 | − | 0.0195958i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 3.51906 | − | 2.93462i | 0.195202 | − | 0.162784i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0.138513 | + | 1.31786i | 0.00765978 | + | 0.0728780i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 3.62326 | + | 6.27568i | 0.199757 | + | 0.345989i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 8.81428 | + | 15.2668i | 0.484477 | + | 0.839138i | 0.999841 | − | 0.0178331i | \(-0.00567676\pi\) |
−0.515364 | + | 0.856971i | \(0.672343\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −17.7554 | + | 12.9000i | −0.972990 | + | 0.706918i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 1.46559 | + | 0.311522i | 0.0800740 | + | 0.0170203i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 19.0115 | + | 13.8127i | 1.03562 | + | 0.752425i | 0.969427 | − | 0.245382i | \(-0.0789133\pi\) |
0.0661974 | + | 0.997807i | \(0.478913\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −1.46576 | + | 4.51115i | −0.0796092 | + | 0.245012i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 5.47671 | + | 1.25104i | 0.296580 | + | 0.0677477i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −1.32837 | + | 4.08829i | −0.0717251 | + | 0.220747i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −0.737238 | + | 7.01435i | −0.0396916 | + | 0.377640i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 20.2180 | − | 22.4544i | 1.08536 | − | 1.20541i | 0.107929 | − | 0.994159i | \(-0.465578\pi\) |
0.977431 | − | 0.211256i | \(-0.0677553\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 0.801387 | + | 7.62469i | 0.0428973 | + | 0.408140i | 0.994808 | + | 0.101766i | \(0.0324492\pi\) |
−0.951911 | + | 0.306374i | \(0.900884\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −4.94816 | − | 12.3554i | −0.264113 | − | 0.659480i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 3.13896 | − | 5.43683i | 0.167070 | − | 0.289373i | −0.770319 | − | 0.637659i | \(-0.779903\pi\) |
0.937388 | + | 0.348286i | \(0.113236\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.494293 | + | 0.220073i | 0.0262343 | + | 0.0116803i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 3.11709 | − | 3.46188i | 0.164974 | − | 0.183222i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −1.71570 | − | 1.24653i | −0.0905510 | − | 0.0657892i | 0.541589 | − | 0.840644i | \(-0.317823\pi\) |
−0.632140 | + | 0.774855i | \(0.717823\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −12.5830 | − | 13.9749i | −0.662265 | − | 0.735519i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 2.04583 | + | 7.01189i | 0.107378 | + | 0.368029i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 8.61867 | − | 26.5255i | 0.451122 | − | 1.38841i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 7.22736 | − | 3.21783i | 0.377265 | − | 0.167969i | −0.209339 | − | 0.977843i | \(-0.567131\pi\) |
0.586604 | + | 0.809874i | \(0.300465\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −5.02234 | − | 15.4572i | −0.261452 | − | 0.804668i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −21.1542 | − | 9.41845i | −1.09827 | − | 0.488981i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 9.00016 | + | 15.5887i | 0.466011 | + | 0.807154i | 0.999247 | − | 0.0388124i | \(-0.0123575\pi\) |
−0.533236 | + | 0.845967i | \(0.679024\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −4.02054 | + | 6.96378i | −0.207620 | + | 0.359608i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 16.8623 | − | 8.90005i | 0.868452 | − | 0.458376i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −26.1459 | − | 5.55749i | −1.34303 | − | 0.285469i | −0.520337 | − | 0.853961i | \(-0.674194\pi\) |
−0.822689 | + | 0.568492i | \(0.807527\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −0.572588 | + | 5.44781i | −0.0293346 | + | 0.279100i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −35.4061 | + | 7.52580i | −1.80917 | + | 0.384551i | −0.983688 | − | 0.179881i | \(-0.942429\pi\) |
−0.825480 | + | 0.564431i | \(0.809095\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 6.74981 | + | 21.8961i | 0.344002 | + | 1.11593i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 14.8614 | + | 16.5053i | 0.755448 | + | 0.839011i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −31.8478 | − | 23.1388i | −1.61475 | − | 1.17318i | −0.844810 | − | 0.535067i | \(-0.820287\pi\) |
−0.769939 | − | 0.638117i | \(-0.779713\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −3.33308 | − | 10.2582i | −0.168561 | − | 0.518777i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −0.481197 | − | 4.57829i | −0.0242732 | − | 0.230944i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0.720053 | 0.0362298 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −3.88486 | − | 6.72877i | −0.194975 | − | 0.337707i | 0.751917 | − | 0.659258i | \(-0.229129\pi\) |
−0.946892 | + | 0.321551i | \(0.895796\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0.958217 | + | 0.426626i | 0.0479709 | + | 0.0213580i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −23.6483 | − | 5.02659i | −1.18094 | − | 0.251016i | −0.424713 | − | 0.905328i | \(-0.639625\pi\) |
−0.756225 | + | 0.654312i | \(0.772958\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.49550 | − | 5.92123i | 0.0744963 | − | 0.294957i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −6.75292 | − | 7.49988i | −0.335555 | − | 0.372672i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −13.8474 | − | 24.8454i | −0.686389 | − | 1.23154i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 28.0518 | − | 5.96259i | 1.38707 | − | 0.294831i | 0.546921 | − | 0.837184i | \(-0.315800\pi\) |
0.840150 | + | 0.542353i | \(0.182467\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −7.59178 | − | 5.51575i | −0.374475 | − | 0.272072i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −22.0992 | − | 4.69733i | −1.08743 | − | 0.231141i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 4.31046 | − | 3.13173i | 0.211592 | − | 0.153731i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −9.88257 | −0.483951 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 16.9379 | − | 29.3373i | 0.827469 | − | 1.43322i | −0.0725480 | − | 0.997365i | \(-0.523113\pi\) |
0.900017 | − | 0.435854i | \(-0.143554\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −13.4515 | + | 9.77312i | −0.655588 | + | 0.476312i | −0.865170 | − | 0.501479i | \(-0.832790\pi\) |
0.209582 | + | 0.977791i | \(0.432790\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 3.46853 | − | 3.85220i | 0.168646 | − | 0.187300i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0.260500 | − | 2.47849i | 0.0126361 | − | 0.120224i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −10.5201 | − | 11.6838i | −0.509105 | − | 0.565419i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 7.67149 | − | 2.04957i | 0.370383 | − | 0.0989541i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 9.26865 | + | 10.2939i | 0.446455 | + | 0.495838i | 0.923799 | − | 0.382878i | \(-0.125067\pi\) |
−0.477344 | + | 0.878717i | \(0.658400\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −1.42847 | + | 13.5910i | −0.0686480 | + | 0.653142i | 0.905051 | + | 0.425303i | \(0.139833\pi\) |
−0.973699 | + | 0.227839i | \(0.926834\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −4.53741 | + | 5.03930i | −0.217552 | + | 0.241616i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 1.96479 | − | 1.42750i | 0.0939886 | − | 0.0682867i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 0.946165 | − | 1.63881i | 0.0451580 | − | 0.0782159i | −0.842563 | − | 0.538598i | \(-0.818954\pi\) |
0.887721 | + | 0.460382i | \(0.152288\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −14.8385 | −0.706598 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −13.5793 | + | 9.86595i | −0.645173 | + | 0.468746i | −0.861623 | − | 0.507548i | \(-0.830552\pi\) |
0.216451 | + | 0.976294i | \(0.430552\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −11.7252 | − | 2.49228i | −0.555829 | − | 0.118145i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 6.73073 | + | 4.89016i | 0.318353 | + | 0.231297i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 7.93559 | − | 1.68676i | 0.374503 | − | 0.0796032i | −0.0168147 | − | 0.999859i | \(-0.505353\pi\) |
0.391318 | + | 0.920255i | \(0.372019\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 20.6675 | − | 4.06705i | 0.973192 | − | 0.191510i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 4.62718 | + | 5.13900i | 0.217404 | + | 0.241451i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 23.9648 | − | 6.79285i | 1.12349 | − | 0.318454i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 32.6389 | + | 6.93761i | 1.52678 | + | 0.324527i | 0.893382 | − | 0.449297i | \(-0.148326\pi\) |
0.633400 | + | 0.773825i | \(0.281659\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −6.61292 | − | 2.94426i | −0.308665 | − | 0.137426i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 3.32818 | + | 5.76458i | 0.155009 | + | 0.268483i | 0.933062 | − | 0.359715i | \(-0.117126\pi\) |
−0.778053 | + | 0.628198i | \(0.783793\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 25.1883 | 1.17060 | 0.585299 | − | 0.810818i | \(-0.300977\pi\) | ||||
0.585299 | + | 0.810818i | \(0.300977\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0.227034 | + | 2.16008i | 0.0105284 | + | 0.100171i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 8.72820 | + | 26.8626i | 0.403893 | + | 1.24305i | 0.921816 | + | 0.387628i | \(0.126705\pi\) |
−0.517923 | + | 0.855427i | \(0.673295\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −2.24564 | − | 1.63155i | −0.103694 | − | 0.0753381i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 8.87876 | + | 9.86087i | 0.409112 | + | 0.454365i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −23.5408 | + | 16.5648i | −1.08241 | + | 0.761653i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.548873 | − | 0.116667i | 0.0251840 | − | 0.00535303i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −1.73143 | + | 16.4735i | −0.0792768 | + | 0.754269i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −11.2201 | − | 2.38491i | −0.512660 | − | 0.108969i | −0.0556845 | − | 0.998448i | \(-0.517734\pi\) |
−0.456976 | + | 0.889479i | \(0.651067\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −27.3462 | + | 14.4336i | −1.24688 | + | 0.658114i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 6.53305 | − | 11.3156i | 0.297264 | − | 0.514877i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 4.60130 | + | 7.96968i | 0.208934 | + | 0.361885i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −35.5853 | − | 15.8436i | −1.61252 | − | 0.717942i | −0.615018 | − | 0.788513i | \(-0.710851\pi\) |
−0.997507 | + | 0.0705709i | \(0.977518\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 3.76460 | + | 11.5863i | 0.170241 | + | 0.523948i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 14.8484 | − | 6.61092i | 0.670097 | − | 0.298347i | −0.0433454 | − | 0.999060i | \(-0.513802\pi\) |
0.713443 | + | 0.700714i | \(0.247135\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 3.20456 | − | 9.86263i | 0.144326 | − | 0.444191i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 13.4042 | − | 9.43210i | 0.602476 | − | 0.423941i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −0.670715 | − | 0.744905i | −0.0300857 | − | 0.0334135i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −30.7128 | − | 22.3142i | −1.37489 | − | 0.998919i | −0.997337 | − | 0.0729326i | \(-0.976764\pi\) |
−0.377557 | − | 0.925986i | \(-0.623236\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −9.56107 | + | 10.6186i | −0.427157 | + | 0.474406i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −22.6076 | − | 10.0656i | −1.00802 | − | 0.448801i | −0.164778 | − | 0.986331i | \(-0.552691\pi\) |
−0.843245 | + | 0.537530i | \(0.819358\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −7.48771 | + | 12.9691i | −0.333199 | + | 0.577117i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −2.03727 | − | 8.38845i | −0.0904783 | − | 0.372544i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 0.450347 | + | 4.28477i | 0.0199613 | + | 0.189919i | 0.999959 | − | 0.00909143i | \(-0.00289393\pi\) |
−0.979997 | + | 0.199010i | \(0.936227\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −34.5734 | + | 38.3976i | −1.52944 | + | 1.69861i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0.170370 | − | 1.62096i | 0.00752202 | − | 0.0715672i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −8.28564 | + | 25.5006i | −0.365109 | + | 1.12369i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 4.41922 | + | 5.06001i | 0.194357 | + | 0.222539i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0.678233 | − | 2.08739i | 0.0297711 | − | 0.0916261i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 15.7477 | + | 11.4413i | 0.689917 | + | 0.501254i | 0.876633 | − | 0.481160i | \(-0.159784\pi\) |
−0.186716 | + | 0.982414i | \(0.559784\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −26.6433 | − | 5.66321i | −1.16503 | − | 0.247635i | −0.415493 | − | 0.909596i | \(-0.636391\pi\) |
−0.749538 | + | 0.661961i | \(0.769724\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 2.44238 | − | 1.77449i | 0.106594 | − | 0.0774452i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −1.66079 | − | 2.87658i | −0.0723453 | − | 0.125306i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −3.62657 | − | 6.28140i | −0.157677 | − | 0.273105i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 1.68932 | + | 16.0728i | 0.0733102 | + | 0.697500i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −3.90761 | − | 22.5629i | −0.169258 | − | 0.977308i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 13.2548 | − | 5.90141i | 0.573054 | − | 0.255140i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 11.7611 | − | 2.49989i | 0.507527 | − | 0.107878i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 2.29946 | − | 19.0932i | 0.0990450 | − | 0.822401i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −6.15806 | + | 18.9525i | −0.264755 | + | 0.814834i | 0.726994 | + | 0.686644i | \(0.240917\pi\) |
−0.991750 | + | 0.128190i | \(0.959083\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 2.79819 | − | 1.24584i | 0.120082 | − | 0.0534640i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 1.19086 | + | 3.66508i | 0.0510108 | + | 0.156995i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −20.1427 | + | 14.6345i | −0.861238 | + | 0.625726i | −0.928222 | − | 0.372028i | \(-0.878663\pi\) |
0.0669834 | + | 0.997754i | \(0.478663\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −5.62322 | + | 9.73971i | −0.239993 | + | 0.415681i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 2.33497 | 0.0994732 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −1.21862 | − | 0.542564i | −0.0518209 | − | 0.0230722i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 7.35849 | − | 8.17243i | 0.312350 | − | 0.346900i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −28.4875 | + | 12.6834i | −1.20705 | + | 0.537414i | −0.908864 | − | 0.417093i | \(-0.863049\pi\) |
−0.298189 | + | 0.954507i | \(0.596382\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 17.4194 | + | 25.9957i | 0.736760 | + | 1.09950i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 2.21573 | − | 3.70703i | 0.0935484 | − | 0.156511i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −33.4613 | + | 7.11243i | −1.41023 | + | 0.299753i | −0.849212 | − | 0.528052i | \(-0.822922\pi\) |
−0.561015 | + | 0.827805i | \(0.689589\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.44191 | + | 13.7188i | −0.0606615 | + | 0.577155i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 5.77745 | + | 17.7812i | 0.242630 | + | 0.746739i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −1.98993 | − | 18.9329i | −0.0834223 | − | 0.793710i | −0.953621 | − | 0.301009i | \(-0.902676\pi\) |
0.870199 | − | 0.492701i | \(-0.163990\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −19.7614 | −0.826987 | −0.413493 | − | 0.910507i | \(-0.635692\pi\) | ||||
−0.413493 | + | 0.910507i | \(0.635692\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −10.7336 | −0.448401 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −0.730658 | − | 6.95175i | −0.0304706 | − | 0.289908i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 6.16748 | + | 18.9815i | 0.256755 | + | 0.790212i | 0.993479 | + | 0.114018i | \(0.0363720\pi\) |
−0.736723 | + | 0.676194i | \(0.763628\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −0.770358 | + | 7.32947i | −0.0320150 | + | 0.304602i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −9.65480 | + | 2.05219i | −0.400548 | + | 0.0851392i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −20.9286 | − | 4.78070i | −0.866773 | − | 0.197997i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −9.91866 | − | 14.8021i | −0.410086 | − | 0.611991i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −34.8200 | + | 15.5029i | −1.43718 | + | 0.639872i | −0.969737 | − | 0.244153i | \(-0.921490\pi\) |
−0.467440 | + | 0.884025i | \(0.654824\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.500440 | − | 0.555795i | 0.0206203 | − | 0.0229011i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −2.42715 | − | 1.08064i | −0.0998395 | − | 0.0444514i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 25.9203 | 1.06442 | 0.532210 | − | 0.846613i | \(-0.321362\pi\) | ||||
0.532210 | + | 0.846613i | \(0.321362\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 6.77377 | − | 11.7325i | 0.277698 | − | 0.480986i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 5.56704 | − | 4.04469i | 0.227844 | − | 0.165538i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −14.2025 | − | 43.7107i | −0.580297 | − | 1.78597i | −0.617389 | − | 0.786658i | \(-0.711809\pi\) |
0.0370921 | − | 0.999312i | \(-0.488191\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 25.5941 | − | 11.3952i | 1.04401 | − | 0.464821i | 0.188206 | − | 0.982130i | \(-0.439733\pi\) |
0.855799 | + | 0.517308i | \(0.173066\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −0.613578 | + | 1.88840i | −0.0249868 | + | 0.0769016i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 10.0593 | + | 18.7093i | 0.408971 | + | 0.760640i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −11.6983 | + | 2.48655i | −0.474820 | + | 0.100926i | −0.439105 | − | 0.898436i | \(-0.644704\pi\) |
−0.0357152 | + | 0.999362i | \(0.511371\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 11.4762 | − | 5.10956i | 0.465041 | − | 0.207050i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 5.60899 | − | 4.67745i | 0.226915 | − | 0.189230i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 0.958966 | + | 9.12395i | 0.0387323 | + | 0.368513i | 0.996670 | + | 0.0815377i | \(0.0259831\pi\) |
−0.957938 | + | 0.286975i | \(0.907350\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 4.07191 | + | 7.05276i | 0.164195 | + | 0.284395i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −4.41413 | − | 7.64550i | −0.177706 | − | 0.307796i | 0.763388 | − | 0.645940i | \(-0.223534\pi\) |
−0.941095 | + | 0.338144i | \(0.890201\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 30.2540 | − | 21.9809i | 1.21601 | − | 0.883485i | 0.220250 | − | 0.975443i | \(-0.429313\pi\) |
0.995763 | + | 0.0919585i | \(0.0293127\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −19.8598 | − | 4.22133i | −0.796947 | − | 0.169396i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 17.9659 | + | 13.0530i | 0.719787 | + | 0.522956i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −5.26277 | + | 16.1971i | −0.210511 | + | 0.647886i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0.947998 | + | 0.216551i | 0.0378594 | + | 0.00864820i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −5.19697 | + | 15.9946i | −0.207217 | + | 0.637747i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 2.71983 | − | 25.8774i | 0.108275 | − | 1.03016i | −0.796606 | − | 0.604499i | \(-0.793374\pi\) |
0.904881 | − | 0.425665i | \(-0.139960\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −11.2271 | + | 12.4690i | −0.446239 | + | 0.495599i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 1.66519 | + | 15.8432i | 0.0660811 | + | 0.628719i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −20.6940 | − | 2.97267i | −0.819927 | − | 0.117782i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −0.358511 | + | 0.620959i | −0.0141825 | + | 0.0245647i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 25.5609 | + | 11.3805i | 1.00960 | + | 0.449501i | 0.843799 | − | 0.536659i | \(-0.180314\pi\) |
0.165796 | + | 0.986160i | \(0.446981\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −0.967123 | + | 1.07410i | −0.0381396 | + | 0.0423583i | −0.761913 | − | 0.647680i | \(-0.775740\pi\) |
0.723773 | + | 0.690038i | \(0.242406\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −9.00352 | − | 6.54144i | −0.354513 | − | 0.257569i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −2.33620 | − | 2.59461i | −0.0918454 | − | 0.102005i | 0.695470 | − | 0.718555i | \(-0.255196\pi\) |
−0.787315 | + | 0.616551i | \(0.788530\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −20.9431 | − | 0.317038i | −0.822089 | − | 0.0124448i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 1.24340 | − | 3.82680i | 0.0487328 | − | 0.149984i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 45.6913 | − | 20.3431i | 1.78804 | − | 0.796087i | 0.810377 | − | 0.585908i | \(-0.199262\pi\) |
0.977663 | − | 0.210178i | \(-0.0674045\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −4.13707 | − | 12.7326i | −0.161649 | − | 0.497504i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 33.7649 | + | 15.0331i | 1.31730 | + | 0.586498i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 1.21638 | + | 2.10683i | 0.0473833 | + | 0.0820703i | 0.888744 | − | 0.458403i | \(-0.151578\pi\) |
−0.841361 | + | 0.540474i | \(0.818245\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 1.68250 | − | 2.91417i | 0.0654416 | − | 0.113348i | −0.831448 | − | 0.555602i | \(-0.812488\pi\) |
0.896890 | + | 0.442254i | \(0.145821\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −3.97396 | − | 2.50007i | −0.154336 | − | 0.0970947i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 2.98373 | + | 0.634212i | 0.115704 | + | 0.0245937i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 3.04039 | − | 28.9273i | 0.117724 | − | 1.12007i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 7.79055 | − | 1.65593i | 0.301200 | − | 0.0640220i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −11.6609 | − | 8.74488i | −0.450166 | − | 0.337592i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 12.2294 | + | 13.5821i | 0.471407 | + | 0.523550i | 0.931216 | − | 0.364467i | \(-0.118749\pi\) |
−0.459809 | + | 0.888018i | \(0.652082\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −3.79523 | − | 2.75739i | −0.146078 | − | 0.106132i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 3.73109 | + | 11.4831i | 0.143397 | + | 0.441332i | 0.996801 | − | 0.0799182i | \(-0.0254659\pi\) |
−0.853404 | + | 0.521250i | \(0.825466\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1.78204 | − | 16.9550i | −0.0683885 | − | 0.650673i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 5.93306 | 0.227355 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 8.91959 | + | 15.4492i | 0.341299 | + | 0.591147i | 0.984674 | − | 0.174404i | \(-0.0557999\pi\) |
−0.643375 | + | 0.765551i | \(0.722467\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −24.9309 | − | 11.0999i | −0.952561 | − | 0.424107i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −13.3832 | − | 2.84469i | −0.510601 | − | 0.108532i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −5.71488 | + | 22.6273i | −0.217720 | + | 0.862030i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 5.88483 | + | 6.53577i | 0.223870 | + | 0.248632i | 0.844608 | − | 0.535386i | \(-0.179834\pi\) |
−0.620738 | + | 0.784018i | \(0.713167\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −29.7925 | + | 5.86273i | −1.13172 | + | 0.222707i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −28.1123 | + | 5.97545i | −1.06636 | + | 0.226662i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −10.0757 | − | 7.32044i | −0.381645 | − | 0.277281i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −9.77953 | − | 2.07870i | −0.369896 | − | 0.0786238i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −16.4694 | + | 11.9657i | −0.622039 | + | 0.451938i | −0.853633 | − | 0.520875i | \(-0.825606\pi\) |
0.231594 | + | 0.972813i | \(0.425606\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −3.78672 | −0.142819 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −1.29870 | + | 2.24942i | −0.0489120 | + | 0.0847181i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 22.4445 | − | 16.3069i | 0.844112 | − | 0.613283i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 19.0995 | − | 21.2121i | 0.717297 | − | 0.796639i | −0.268732 | − | 0.963215i | \(-0.586605\pi\) |
0.986029 | + | 0.166576i | \(0.0532712\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −0.0997418 | + | 0.948980i | −0.00374061 | + | 0.0355895i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −6.23396 | − | 6.92352i | −0.233464 | − | 0.259288i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 20.5833 | − | 10.4688i | 0.769772 | − | 0.391511i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −5.84000 | − | 6.48598i | −0.218099 | − | 0.242223i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 0.414282 | − | 3.94163i | 0.0154501 | − | 0.146998i | −0.984077 | − | 0.177742i | \(-0.943121\pi\) |
0.999527 | + | 0.0307435i | \(0.00978751\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 33.2374 | − | 36.9139i | 1.23783 | − | 1.37475i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −13.5955 | + | 9.87772i | −0.505622 | + | 0.367356i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 3.36026 | − | 5.82015i | 0.124797 | − | 0.216155i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −1.08990 | −0.0404220 | −0.0202110 | − | 0.999796i | \(-0.506434\pi\) | ||||
−0.0202110 | + | 0.999796i | \(0.506434\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 4.87068 | − | 3.53876i | 0.180396 | − | 0.131065i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 16.6475 | + | 3.53853i | 0.615730 | + | 0.130877i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 10.4754 | + | 7.61084i | 0.386918 | + | 0.281113i | 0.764192 | − | 0.644989i | \(-0.223138\pi\) |
−0.377273 | + | 0.926102i | \(0.623138\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 7.27279 | − | 1.54588i | 0.268261 | − | 0.0570206i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −2.33477 | − | 1.08214i | −0.0860024 | − | 0.0398613i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −3.13387 | − | 3.48051i | −0.115281 | − | 0.128033i | 0.682742 | − | 0.730660i | \(-0.260787\pi\) |
−0.798023 | + | 0.602627i | \(0.794121\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.258866 | − | 1.02494i | 0.00950968 | − | 0.0376522i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 37.2973 | + | 7.92778i | 1.36830 | + | 0.290842i | 0.832745 | − | 0.553656i | \(-0.186768\pi\) |
0.535559 | + | 0.844498i | \(0.320101\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 22.1033 | + | 9.84101i | 0.809801 | + | 0.360547i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 3.53032 | + | 6.11469i | 0.129168 | + | 0.223725i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −26.8791 | −0.982142 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −0.488493 | − | 4.64770i | −0.0178253 | − | 0.169597i | 0.981987 | − | 0.188946i | \(-0.0605072\pi\) |
−0.999813 | + | 0.0193494i | \(0.993841\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −2.24937 | − | 6.92284i | −0.0819715 | − | 0.252282i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 16.2699 | + | 11.8208i | 0.592122 | + | 0.430202i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 18.0709 | + | 20.0698i | 0.656798 | + | 0.729448i | 0.975887 | − | 0.218277i | \(-0.0700435\pi\) |
−0.319089 | + | 0.947725i | \(0.603377\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 3.91718 | − | 11.4625i | 0.142185 | − | 0.416063i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 13.0287 | − | 2.76933i | 0.472289 | − | 0.100388i | 0.0343827 | − | 0.999409i | \(-0.489053\pi\) |
0.437906 | + | 0.899021i | \(0.355720\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.746252 | − | 7.10011i | 0.0270161 | − | 0.257041i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −9.47916 | − | 2.01486i | −0.342720 | − | 0.0728473i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −0.863989 | + | 22.7538i | −0.0311968 | + | 0.821591i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 25.3860 | − | 43.9699i | 0.915443 | − | 1.58559i | 0.109192 | − | 0.994021i | \(-0.465174\pi\) |
0.806251 | − | 0.591574i | \(-0.201493\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 9.45053 | + | 16.3688i | 0.340353 | + | 0.589508i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −16.2812 | − | 7.24884i | −0.585593 | − | 0.260723i | 0.0924834 | − | 0.995714i | \(-0.470519\pi\) |
−0.678076 | + | 0.734991i | \(0.737186\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.665189 | − | 2.04724i | −0.0238943 | − | 0.0735391i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −18.6115 | + | 8.28637i | −0.667683 | + | 0.297272i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 0.866555 | − | 2.66698i | 0.0310476 | − | 0.0955545i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.743448 | − | 0.557533i | −0.0266027 | − | 0.0199501i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −13.0619 | − | 14.5067i | −0.466793 | − | 0.518426i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 31.2192 | + | 22.6820i | 1.11426 | + | 0.809557i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −3.49684 | + | 3.88364i | −0.124649 | + | 0.138437i | −0.802239 | − | 0.597003i | \(-0.796358\pi\) |
0.677590 | + | 0.735440i | \(0.263025\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 14.1387 | + | 6.29497i | 0.503352 | + | 0.224107i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 12.7775 | − | 22.1313i | 0.454315 | − | 0.786897i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −9.79342 | + | 12.4566i | −0.347775 | + | 0.442347i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −0.867582 | − | 8.25449i | −0.0307700 | − | 0.292757i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 18.0422 | − | 20.0379i | 0.639088 | − | 0.709779i | −0.333386 | − | 0.942790i | \(-0.608191\pi\) |
0.972474 | + | 0.233011i | \(0.0748580\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.415207 | − | 3.95043i | 0.0146890 | − | 0.139756i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 4.90882 | − | 15.1078i | 0.173445 | − | 0.533808i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −24.5759 | + | 41.1167i | −0.867266 | + | 1.45098i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 11.7422 | − | 36.1389i | 0.413859 | − | 1.27373i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −16.0335 | − | 11.6490i | −0.564406 | − | 0.410065i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −42.1616 | − | 8.96172i | −1.48232 | − | 0.315077i | −0.605482 | − | 0.795859i | \(-0.707019\pi\) |
−0.876840 | + | 0.480782i | \(0.840353\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 28.5848 | − | 20.7680i | 1.00375 | − | 0.729265i | 0.0408585 | − | 0.999165i | \(-0.486991\pi\) |
0.962888 | + | 0.269900i | \(0.0869907\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 3.32332 | + | 5.75615i | 0.116554 | + | 0.201877i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 17.7145 | + | 30.6824i | 0.620511 | + | 1.07476i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.400566 | + | 3.81113i | 0.0140140 | + | 0.133335i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 5.63289 | + | 32.5248i | 0.196829 | + | 1.13651i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −35.7902 | + | 15.9348i | −1.24909 | + | 0.556129i | −0.921384 | − | 0.388653i | \(-0.872941\pi\) |
−0.327701 | + | 0.944781i | \(0.606274\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 29.8731 | − | 6.34972i | 1.04131 | − | 0.221337i | 0.344645 | − | 0.938733i | \(-0.387999\pi\) |
0.696666 | + | 0.717396i | \(0.254666\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 1.90404 | − | 2.05134i | 0.0662901 | − | 0.0714184i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 3.07140 | − | 9.45280i | 0.106803 | − | 0.328706i | −0.883346 | − | 0.468721i | \(-0.844715\pi\) |
0.990149 | + | 0.140015i | \(0.0447150\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 33.7810 | − | 15.0403i | 1.17326 | − | 0.522371i | 0.274835 | − | 0.961491i | \(-0.411377\pi\) |
0.898428 | + | 0.439121i | \(0.144710\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 3.52515 | + | 10.8493i | 0.122286 | + | 0.376358i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −9.19907 | + | 6.68352i | −0.318729 | + | 0.231570i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −20.7772 | + | 35.9872i | −0.719025 | + | 1.24539i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −6.25250 | −0.216118 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 34.2678 | + | 15.2570i | 1.18305 | + | 0.526730i | 0.901485 | − | 0.432811i | \(-0.142478\pi\) |
0.281570 | + | 0.959541i | \(0.409145\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −0.692422 | + | 0.769013i | −0.0238766 | + | 0.0265177i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 18.6281 | − | 8.29374i | 0.641584 | − | 0.285652i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −10.8673 | − | 22.6302i | −0.373847 | − | 0.778504i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −2.92692 | − | 39.2433i | −0.100570 | − | 1.34842i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −6.12750 | + | 1.30244i | −0.210295 | + | 0.0446996i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −4.93071 | + | 46.9126i | −0.169023 | + | 1.60814i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 10.4669 | + | 32.2137i | 0.358379 | + | 1.10298i | 0.954024 | + | 0.299729i | \(0.0968962\pi\) |
−0.595646 | + | 0.803247i | \(0.703104\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −0.228084 | − | 2.17008i | −0.00780032 | − | 0.0742150i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −1.12486 | −0.0384244 | −0.0192122 | − | 0.999815i | \(-0.506116\pi\) | ||||
−0.0192122 | + | 0.999815i | \(0.506116\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −15.2919 | −0.521752 | −0.260876 | − | 0.965372i | \(-0.584011\pi\) | ||||
−0.260876 | + | 0.965372i | \(0.584011\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −1.57702 | − | 15.0043i | −0.0537446 | − | 0.511346i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −3.68927 | − | 11.3544i | −0.125584 | − | 0.386509i | 0.868423 | − | 0.495824i | \(-0.165134\pi\) |
−0.994007 | + | 0.109316i | \(0.965134\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0.667195 | − | 6.34794i | 0.0226853 | − | 0.215836i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 8.54399 | − | 1.81608i | 0.290169 | − | 0.0616774i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −1.20562 | − | 0.275400i | −0.0408979 | − | 0.00934230i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −1.23402 | + | 2.51066i | −0.0418130 | + | 0.0850706i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −11.1409 | + | 4.96023i | −0.377061 | + | 0.167878i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 28.9881 | − | 32.1946i | 0.979978 | − | 1.08838i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 44.2899 | + | 19.7192i | 1.49557 | + | 0.665868i | 0.981426 | − | 0.191839i | \(-0.0614450\pi\) |
0.514139 | + | 0.857707i | \(0.328112\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −8.98517 | −0.303062 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 24.0372 | − | 41.6337i | 0.809834 | − | 1.40267i | −0.103144 | − | 0.994666i | \(-0.532890\pi\) |
0.912978 | − | 0.408008i | \(-0.133776\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 6.91318 | − | 5.02272i | 0.232647 | − | 0.169028i | −0.465354 | − | 0.885125i | \(-0.654073\pi\) |
0.698001 | + | 0.716097i | \(0.254073\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −2.50245 | − | 7.70174i | −0.0841188 | − | 0.258891i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −26.2424 | + | 11.6839i | −0.881134 | + | 0.392306i | −0.796880 | − | 0.604138i | \(-0.793517\pi\) |
−0.0842543 | + | 0.996444i | \(0.526851\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 9.11979 | − | 28.0678i | 0.305868 | − | 0.941365i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 8.43827 | + | 15.1402i | 0.282693 | + | 0.507217i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 0.874842 | − | 0.185953i | 0.0292755 | − | 0.00622269i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 31.9443 | − | 14.2225i | 1.06778 | − | 0.475407i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −12.3607 | − | 4.54161i | −0.412711 | − | 0.151640i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −0.936293 | − | 8.90823i | −0.0312271 | − | 0.297106i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 6.34652 | + | 10.9925i | 0.211433 | + | 0.366213i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 10.3085 | + | 17.8549i | 0.343047 | + | 0.594175i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 7.20655 | − | 5.23586i | 0.239554 | − | 0.174046i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 17.5323 | + | 3.72661i | 0.582152 | + | 0.123740i | 0.489569 | − | 0.871965i | \(-0.337154\pi\) |
0.0925830 | + | 0.995705i | \(0.470488\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −16.0552 | − | 11.6648i | −0.532516 | − | 0.386895i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −2.87260 | + | 8.84095i | −0.0951734 | + | 0.292914i | −0.987299 | − | 0.158874i | \(-0.949214\pi\) |
0.892125 | + | 0.451788i | \(0.149214\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −8.41501 | + | 3.59499i | −0.278496 | + | 0.118977i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 1.74142 | − | 5.35953i | 0.0575695 | − | 0.177181i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −2.59250 | + | 24.6660i | −0.0856118 | + | 0.814542i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 7.64107 | − | 8.48627i | 0.252056 | − | 0.279936i | −0.603817 | − | 0.797123i | \(-0.706354\pi\) |
0.855872 | + | 0.517187i | \(0.173021\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −2.32081 | − | 22.0810i | −0.0764732 | − | 0.727594i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −0.624383 | + | 0.794175i | −0.0205518 | + | 0.0261406i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −5.44947 | + | 9.43876i | −0.179178 | + | 0.310345i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −32.4602 | − | 14.4522i | −1.06613 | − | 0.474673i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 24.9927 | − | 27.7572i | 0.819985 | − | 0.910685i | −0.177313 | − | 0.984155i | \(-0.556740\pi\) |
0.997297 | + | 0.0734695i | \(0.0234071\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −2.07128 | − | 1.50487i | −0.0678835 | − | 0.0493203i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −0.457020 | − | 0.507573i | −0.0149622 | − | 0.0166172i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 4.06152 | − | 11.8849i | 0.132826 | − | 0.388677i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −6.17911 | + | 19.0173i | −0.201863 | + | 0.621269i | 0.797965 | + | 0.602704i | \(0.205910\pi\) |
−0.999828 | + | 0.0185655i | \(0.994090\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 10.5391 | − | 4.69231i | 0.343931 | − | 0.153128i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 6.92548 | + | 21.3144i | 0.225764 | + | 0.694830i | 0.998213 | + | 0.0597536i | \(0.0190315\pi\) |
−0.772449 | + | 0.635077i | \(0.780968\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −31.9122 | − | 14.2082i | −1.03920 | − | 0.462683i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −12.7508 | − | 22.0851i | −0.414784 | − | 0.718428i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −12.1433 | + | 21.0329i | −0.394605 | + | 0.683477i | −0.993051 | − | 0.117687i | \(-0.962452\pi\) |
0.598445 | + | 0.801164i | \(0.295785\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 44.0774 | + | 27.7297i | 1.43081 | + | 0.900143i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 11.0706 | + | 2.35313i | 0.358989 | + | 0.0763055i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −1.68601 | + | 16.0413i | −0.0546152 | + | 0.519628i | 0.932677 | + | 0.360713i | \(0.117467\pi\) |
−0.987292 | + | 0.158916i | \(0.949200\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −30.5331 | + | 6.49000i | −0.988027 | + | 0.210012i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 9.52460 | − | 6.70213i | 0.307886 | − | 0.216649i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 33.8292 | + | 37.5711i | 1.09240 | + | 1.21323i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 22.7584 | + | 16.5350i | 0.734143 | + | 0.533386i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 5.94159 | + | 18.2863i | 0.191465 | + | 0.589269i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 2.24034 | + | 21.3154i | 0.0721192 | + | 0.686168i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −9.01198 | −0.289806 | −0.144903 | − | 0.989446i | \(-0.546287\pi\) | ||||
−0.144903 | + | 0.989446i | \(0.546287\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −0.287477 | − | 0.497925i | −0.00923510 | − | 0.0159957i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 7.37054 | + | 3.28158i | 0.236532 | + | 0.105311i | 0.521580 | − | 0.853202i | \(-0.325343\pi\) |
−0.285048 | + | 0.958513i | \(0.592010\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 52.0798 | + | 11.0699i | 1.66960 | + | 0.354885i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −2.18224 | − | 2.12025i | −0.0698875 | − | 0.0679022i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −12.0992 | − | 13.4375i | −0.387088 | − | 0.429905i | 0.517834 | − | 0.855481i | \(-0.326738\pi\) |
−0.904923 | + | 0.425576i | \(0.860072\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 18.6789 | + | 8.65751i | 0.596981 | + | 0.276695i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −4.99528 | + | 1.06178i | −0.159487 | + | 0.0339000i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −34.6162 | − | 25.1501i | −1.10409 | − | 0.802165i | −0.122364 | − | 0.992485i | \(-0.539047\pi\) |
−0.981722 | + | 0.190320i | \(0.939047\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −7.55774 | − | 1.60645i | −0.240810 | − | 0.0511857i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 3.89288 | − | 2.82834i | 0.123912 | − | 0.0900271i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 47.7366 | 1.51794 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −24.5823 | + | 42.5778i | −0.780883 | + | 1.35253i | 0.150546 | + | 0.988603i | \(0.451897\pi\) |
−0.931428 | + | 0.363925i | \(0.881436\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 9.47016 | − | 6.88048i | 0.300526 | − | 0.218345i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 13.3906 | − | 14.8717i | 0.424510 | − | 0.471466i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 6.11835 | − | 58.2122i | 0.193770 | − | 1.84360i | −0.276424 | − | 0.961036i | \(-0.589149\pi\) |
0.470194 | − | 0.882563i | \(-0.344184\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 21.1829 | + | 23.5260i | 0.670199 | + | 0.744331i |
(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 | 572.2.bg.a.9.6 | ✓ | 112 | |
11.5 | even | 5 | inner | 572.2.bg.a.269.9 | yes | 112 | |
13.3 | even | 3 | inner | 572.2.bg.a.185.9 | yes | 112 | |
143.16 | even | 15 | inner | 572.2.bg.a.445.6 | yes | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
572.2.bg.a.9.6 | ✓ | 112 | 1.1 | even | 1 | trivial | |
572.2.bg.a.185.9 | yes | 112 | 13.3 | even | 3 | inner | |
572.2.bg.a.269.9 | yes | 112 | 11.5 | even | 5 | inner | |
572.2.bg.a.445.6 | yes | 112 | 143.16 | even | 15 | inner |