Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(41,756)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(756, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 17, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.bx (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: | \(6.03669039281\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 41.2 | ||
Character | \(\chi\) | \(=\) | 756.41 |
Dual form | 756.2.bx.a.461.2 |
$q$-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 \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{17}{18}\right)\) | \(-1\) | \(1\) |
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 | ||||||||
\(3\) | −1.70123 | − | 0.325320i | −0.982203 | − | 0.187823i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 2.96273 | + | 2.48603i | 1.32497 | + | 1.11179i | 0.985224 | + | 0.171270i | \(0.0547870\pi\) |
0.339750 | + | 0.940516i | \(0.389657\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.79607 | + | 1.94271i | 0.678851 | + | 0.734276i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.78833 | + | 1.10688i | 0.929445 | + | 0.368961i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.338747 | + | 0.403702i | 0.102136 | + | 0.121721i | 0.814691 | − | 0.579895i | \(-0.196907\pi\) |
−0.712555 | + | 0.701616i | \(0.752462\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.435661 | + | 0.0768188i | 0.120831 | + | 0.0213057i | 0.233736 | − | 0.972300i | \(-0.424905\pi\) |
−0.112906 | + | 0.993606i | \(0.536016\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −4.23152 | − | 5.19313i | −1.09257 | − | 1.34086i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −1.02179 | + | 1.76979i | −0.247820 | + | 0.429236i | −0.962921 | − | 0.269785i | \(-0.913047\pi\) |
0.715101 | + | 0.699021i | \(0.246381\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.49064 | + | 2.01532i | −0.800807 | + | 0.462346i | −0.843753 | − | 0.536731i | \(-0.819659\pi\) |
0.0429464 | + | 0.999077i | \(0.486326\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2.42352 | − | 3.88929i | −0.528855 | − | 0.848712i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −2.55771 | − | 7.02725i | −0.533320 | − | 1.46528i | −0.855097 | − | 0.518468i | \(-0.826502\pi\) |
0.321777 | − | 0.946815i | \(-0.395720\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.72921 | + | 9.80683i | 0.345842 | + | 1.96137i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −4.38349 | − | 2.79016i | −0.843604 | − | 0.536966i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.159050 | − | 0.0280448i | 0.0295348 | − | 0.00520778i | −0.158861 | − | 0.987301i | \(-0.550782\pi\) |
0.188396 | + | 0.982093i | \(0.439671\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.87661 | + | 5.15593i | 0.337048 | + | 0.926033i | 0.986227 | + | 0.165397i | \(0.0528905\pi\) |
−0.649179 | + | 0.760636i | \(0.724887\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.444952 | − | 0.796990i | −0.0774562 | − | 0.138738i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.491636 | + | 10.2208i | 0.0831017 | + | 1.72763i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.57564 | − | 4.46114i | 0.423433 | − | 0.733407i | −0.572840 | − | 0.819667i | \(-0.694158\pi\) |
0.996273 | + | 0.0862605i | \(0.0274917\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −0.716167 | − | 0.272415i | −0.114679 | − | 0.0436214i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −1.01692 | + | 5.76725i | −0.158816 | + | 0.900693i | 0.796397 | + | 0.604775i | \(0.206737\pi\) |
−0.955213 | + | 0.295918i | \(0.904374\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.81951 | − | 4.04405i | 0.734969 | − | 0.616712i | −0.196512 | − | 0.980501i | \(-0.562962\pi\) |
0.931481 | + | 0.363789i | \(0.118517\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 5.50934 | + | 10.2113i | 0.821284 | + | 1.52221i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 2.82049 | + | 1.02658i | 0.411411 | + | 0.149741i | 0.539430 | − | 0.842030i | \(-0.318640\pi\) |
−0.128019 | + | 0.991772i | \(0.540862\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.548267 | + | 6.97850i | −0.0783238 | + | 0.996928i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.31403 | − | 2.67840i | 0.324030 | − | 0.375051i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 12.0204i | 1.65112i | 0.564312 | + | 0.825562i | \(0.309142\pi\) | ||||
−0.564312 | + | 0.825562i | \(0.690858\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.03820i | 0.274830i | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 6.59398 | − | 2.29294i | 0.873394 | − | 0.303707i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −5.93331 | − | 4.97864i | −0.772451 | − | 0.648164i | 0.168884 | − | 0.985636i | \(-0.445984\pi\) |
−0.941336 | + | 0.337472i | \(0.890428\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.00630 | − | 11.0072i | 0.512954 | − | 1.40933i | −0.365189 | − | 0.930933i | \(-0.618996\pi\) |
0.878144 | − | 0.478397i | \(-0.158782\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 2.85768 | + | 7.40497i | 0.360034 | + | 0.932939i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 1.09977 | + | 1.31066i | 0.136410 | + | 0.162567i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.79309 | + | 10.1691i | −0.219061 | + | 1.24236i | 0.654657 | + | 0.755926i | \(0.272813\pi\) |
−0.873718 | + | 0.486432i | \(0.838298\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 2.06514 | + | 12.7870i | 0.248613 | + | 1.53938i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −4.73069 | − | 2.73126i | −0.561430 | − | 0.324141i | 0.192290 | − | 0.981338i | \(-0.438409\pi\) |
−0.753719 | + | 0.657197i | \(0.771742\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 11.8488 | − | 6.84090i | 1.38680 | − | 0.800667i | 0.393843 | − | 0.919178i | \(-0.371145\pi\) |
0.992953 | + | 0.118511i | \(0.0378120\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0.248582 | − | 17.2462i | 0.0287038 | − | 1.99142i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −0.175865 | + | 1.38316i | −0.0200417 | + | 0.157626i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.51105 | + | 8.56961i | 0.170007 | + | 0.964157i | 0.943751 | + | 0.330658i | \(0.107271\pi\) |
−0.773744 | + | 0.633499i | \(0.781618\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 6.54961 | + | 6.17273i | 0.727735 | + | 0.685858i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −1.20343 | − | 6.82497i | −0.132093 | − | 0.749138i | −0.976840 | − | 0.213972i | \(-0.931360\pi\) |
0.844747 | − | 0.535166i | \(-0.179751\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −7.42702 | + | 2.70321i | −0.805573 | + | 0.293205i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −0.279703 | − | 0.00403157i | −0.0299873 | − | 0.000432230i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 0.396843 | + | 0.687352i | 0.0420652 | + | 0.0728591i | 0.886291 | − | 0.463128i | \(-0.153273\pi\) |
−0.844226 | + | 0.535987i | \(0.819940\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.633241 | + | 0.984337i | 0.0663817 | + | 0.103187i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −1.51520 | − | 9.38190i | −0.157119 | − | 0.972858i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −15.3520 | − | 2.70696i | −1.57508 | − | 0.277729i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 6.78774 | + | 8.08932i | 0.689191 | + | 0.821346i | 0.991258 | − | 0.131941i | \(-0.0421210\pi\) |
−0.302067 | + | 0.953287i | \(0.597677\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.497687 | + | 1.50061i | 0.0500194 | + | 0.150817i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −17.9577 | − | 6.53606i | −1.78686 | − | 0.650363i | −0.999423 | − | 0.0339631i | \(-0.989187\pi\) |
−0.787434 | − | 0.616400i | \(-0.788591\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.424547 | − | 0.505955i | 0.0418319 | − | 0.0498533i | −0.744723 | − | 0.667374i | \(-0.767418\pi\) |
0.786555 | + | 0.617521i | \(0.211863\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 2.48865 | − | 17.5479i | 0.242867 | − | 1.71250i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 10.2820i | 0.993994i | 0.867752 | + | 0.496997i | \(0.165564\pi\) | ||||
−0.867752 | + | 0.496997i | \(0.834436\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.90699 | 0.470004 | 0.235002 | − | 0.971995i | \(-0.424490\pi\) | ||||
0.235002 | + | 0.971995i | \(0.424490\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −5.83304 | + | 6.75149i | −0.553648 | + | 0.640824i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 4.14212 | − | 4.93639i | 0.389658 | − | 0.464376i | −0.535180 | − | 0.844738i | \(-0.679756\pi\) |
0.924838 | + | 0.380362i | \(0.124201\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 9.89213 | − | 27.1784i | 0.922446 | − | 2.53440i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 1.12974 | + | 0.696423i | 0.104444 | + | 0.0643843i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −5.27338 | + | 1.19362i | −0.483410 | + | 0.109419i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.86190 | − | 10.5594i | 0.169264 | − | 0.959944i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 3.60621 | − | 9.48057i | 0.325161 | − | 0.854834i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −9.58794 | + | 16.6068i | −0.857572 | + | 1.48536i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.86687 | − | 3.23351i | −0.165658 | − | 0.286928i | 0.771231 | − | 0.636556i | \(-0.219641\pi\) |
−0.936889 | + | 0.349628i | \(0.886308\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −9.51469 | + | 5.31196i | −0.837722 | + | 0.467692i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 14.9954 | − | 5.45789i | 1.31016 | − | 0.476858i | 0.409866 | − | 0.912146i | \(-0.365575\pi\) |
0.900292 | + | 0.435287i | \(0.143353\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −10.1846 | − | 3.16165i | −0.883118 | − | 0.274150i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −6.05070 | − | 19.1640i | −0.520762 | − | 1.64937i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −10.2530 | + | 1.80788i | −0.875972 | + | 0.154458i | −0.593516 | − | 0.804823i | \(-0.702260\pi\) |
−0.282457 | + | 0.959280i | \(0.591149\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −4.25631 | − | 11.6941i | −0.361015 | − | 0.991881i | −0.978671 | − | 0.205433i | \(-0.934140\pi\) |
0.617656 | − | 0.786448i | \(-0.288082\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −4.46433 | − | 2.66400i | −0.375964 | − | 0.224349i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0.116567 | + | 0.201900i | 0.00974780 | + | 0.0168837i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.540942 | + | 0.312313i | 0.0449228 | + | 0.0259362i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 3.20297 | − | 11.6936i | 0.264176 | − | 0.964474i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −18.4810 | − | 3.25869i | −1.51402 | − | 0.266963i | −0.645941 | − | 0.763388i | \(-0.723535\pi\) |
−0.868080 | + | 0.496425i | \(0.834646\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.64538 | − | 2.21974i | 0.215278 | − | 0.180639i | −0.528772 | − | 0.848764i | \(-0.677347\pi\) |
0.744049 | + | 0.668125i | \(0.232903\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −4.80803 | + | 3.80375i | −0.388706 | + | 0.307515i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −7.25791 | + | 19.9409i | −0.582969 | + | 1.60170i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 6.61942 | − | 7.88872i | 0.528288 | − | 0.629589i | −0.434232 | − | 0.900801i | \(-0.642980\pi\) |
0.962519 | + | 0.271212i | \(0.0874246\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 3.91046 | − | 20.4493i | 0.310120 | − | 1.62174i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 9.05811 | − | 17.5903i | 0.713879 | − | 1.38631i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 17.1535 | 1.34357 | 0.671784 | − | 0.740747i | \(-0.265528\pi\) | ||||
0.671784 | + | 0.740747i | \(0.265528\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0.663065 | − | 3.46743i | 0.0516196 | − | 0.269939i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −2.20956 | − | 1.85404i | −0.170981 | − | 0.143470i | 0.553282 | − | 0.832994i | \(-0.313375\pi\) |
−0.724263 | + | 0.689524i | \(0.757820\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.0321 | − | 4.37933i | −0.925547 | − | 0.336871i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −11.9638 | + | 1.75565i | −0.914893 | + | 0.134258i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −2.70496 | + | 2.26973i | −0.205654 | + | 0.172565i | −0.739798 | − | 0.672829i | \(-0.765079\pi\) |
0.534143 | + | 0.845394i | \(0.320634\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −15.9461 | + | 20.9731i | −1.20541 | + | 1.58542i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 8.47425 | + | 10.4000i | 0.636964 | + | 0.781713i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −19.6692 | − | 11.3560i | −1.47014 | − | 0.848788i | −0.470705 | − | 0.882290i | \(-0.656001\pi\) |
−0.999439 | + | 0.0335025i | \(0.989334\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.231419 | − | 0.133610i | 0.0172012 | − | 0.00993112i | −0.491375 | − | 0.870948i | \(-0.663505\pi\) |
0.508576 | + | 0.861017i | \(0.330172\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −10.3965 | + | 17.4224i | −0.768530 | + | 1.28790i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 18.7214 | − | 6.81405i | 1.37643 | − | 0.500979i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.06059 | + | 0.187011i | −0.0775583 | + | 0.0136756i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −2.45258 | − | 13.5272i | −0.178399 | − | 0.983958i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 7.83537 | − | 1.38159i | 0.566947 | − | 0.0999681i | 0.117175 | − | 0.993111i | \(-0.462616\pi\) |
0.449773 | + | 0.893143i | \(0.351505\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 9.18165 | − | 3.34185i | 0.660909 | − | 0.240551i | 0.0102804 | − | 0.999947i | \(-0.496728\pi\) |
0.650629 | + | 0.759396i | \(0.274505\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −1.44458 | − | 2.58750i | −0.103448 | − | 0.185295i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 19.2864 | − | 11.1350i | 1.37410 | − | 0.793336i | 0.382657 | − | 0.923890i | \(-0.375009\pi\) |
0.991441 | + | 0.130555i | \(0.0416758\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 21.6887 | + | 12.5220i | 1.53747 | + | 0.887660i | 0.998986 | + | 0.0450256i | \(0.0143369\pi\) |
0.538486 | + | 0.842634i | \(0.318996\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 6.35868 | − | 16.7167i | 0.448506 | − | 1.17910i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0.340148 | + | 0.258618i | 0.0238737 | + | 0.0181514i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −17.3504 | + | 14.5587i | −1.21181 | + | 1.01683i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0.646603 | − | 22.4254i | 0.0449420 | − | 1.55867i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −1.99603 | − | 0.726496i | −0.138068 | − | 0.0502527i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 20.3108 | + | 17.0428i | 1.39825 | + | 1.17327i | 0.961868 | + | 0.273514i | \(0.0881859\pi\) |
0.436385 | + | 0.899760i | \(0.356258\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 7.15943 | + | 6.18548i | 0.490556 | + | 0.423822i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 24.3326 | 1.65947 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −6.64598 | + | 12.9061i | −0.451159 | + | 0.876125i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −22.3829 | + | 7.78327i | −1.51250 | + | 0.525945i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.581105 | + | 0.692535i | −0.0390894 | + | 0.0465849i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 8.14058 | − | 22.3660i | 0.545133 | − | 1.49774i | −0.295073 | − | 0.955475i | \(-0.595344\pi\) |
0.840206 | − | 0.542267i | \(-0.182434\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −6.03342 | + | 29.2588i | −0.402228 | + | 1.95058i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 4.32319 | − | 3.62758i | 0.286940 | − | 0.240771i | −0.487944 | − | 0.872875i | \(-0.662253\pi\) |
0.774884 | + | 0.632104i | \(0.217808\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −6.27922 | − | 1.10720i | −0.414943 | − | 0.0731656i | −0.0377204 | − | 0.999288i | \(-0.512010\pi\) |
−0.377222 | + | 0.926123i | \(0.623121\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0.749158 | − | 2.29586i | 0.0492909 | − | 0.151057i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 18.5054 | + | 10.6841i | 1.21233 | + | 0.699937i | 0.963266 | − | 0.268550i | \(-0.0865445\pi\) |
0.249062 | + | 0.968488i | \(0.419878\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 5.80427 | + | 10.0533i | 0.378629 | + | 0.655804i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0.217221 | − | 15.0704i | 0.0141100 | − | 0.978929i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 8.05528 | + | 22.1317i | 0.521053 | + | 1.43158i | 0.869350 | + | 0.494197i | \(0.164538\pi\) |
−0.348297 | + | 0.937384i | \(0.613240\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −4.93118 | + | 0.869500i | −0.317645 | + | 0.0560094i | −0.330198 | − | 0.943912i | \(-0.607115\pi\) |
0.0125525 | + | 0.999921i | \(0.496004\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −9.13426 | − | 12.6319i | −0.585963 | − | 0.810338i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −18.9731 | + | 19.3124i | −1.21215 | + | 1.23382i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.67555 | + | 0.609850i | −0.106613 | + | 0.0388038i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −0.172998 | + | 12.0023i | −0.0109633 | + | 0.760616i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 1.53539 | + | 2.65938i | 0.0969132 | + | 0.167859i | 0.910405 | − | 0.413717i | \(-0.135770\pi\) |
−0.813492 | + | 0.581576i | \(0.802436\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.97050 | − | 3.41301i | 0.123884 | − | 0.214574i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 13.5144 | − | 2.18262i | 0.846307 | − | 0.136681i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 4.81703 | − | 27.3187i | 0.300478 | − | 1.70410i | −0.343583 | − | 0.939122i | \(-0.611641\pi\) |
0.644061 | − | 0.764974i | \(-0.277248\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 13.2927 | − | 3.00879i | 0.825971 | − | 0.186957i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0.474526 | + | 0.0978515i | 0.0293724 | + | 0.00605686i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 0.139169 | − | 0.382363i | 0.00858152 | − | 0.0235775i | −0.935328 | − | 0.353782i | \(-0.884895\pi\) |
0.943909 | + | 0.330204i | \(0.107118\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −29.8830 | + | 35.6131i | −1.83570 | + | 2.18770i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −0.451510 | − | 1.29844i | −0.0276319 | − | 0.0794633i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −16.0290 | −0.977306 | −0.488653 | − | 0.872478i | \(-0.662512\pi\) | ||||
−0.488653 | + | 0.872478i | \(0.662512\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 2.09570i | 0.127305i | 0.997972 | + | 0.0636523i | \(0.0202749\pi\) | ||||
−0.997972 | + | 0.0636523i | \(0.979725\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −0.757061 | − | 1.88058i | −0.0458194 | − | 0.113818i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −3.37328 | + | 4.02012i | −0.203416 | + | 0.242422i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −17.1546 | − | 6.24377i | −1.03072 | − | 0.375152i | −0.229366 | − | 0.973340i | \(-0.573665\pi\) |
−0.801355 | + | 0.598189i | \(0.795887\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −0.474416 | + | 16.4536i | −0.0284025 | + | 0.985054i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 1.89410 | + | 2.25730i | 0.112992 | + | 0.134659i | 0.819576 | − | 0.572970i | \(-0.194209\pi\) |
−0.706584 | + | 0.707630i | \(0.749765\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −27.9044 | − | 4.92030i | −1.65875 | − | 0.292482i | −0.735739 | − | 0.677265i | \(-0.763165\pi\) |
−0.923007 | + | 0.384784i | \(0.874276\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 25.2365 | + | 9.59945i | 1.49488 | + | 0.568622i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −13.0306 | + | 8.38280i | −0.769170 | + | 0.494821i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 6.41191 | + | 11.1057i | 0.377171 | + | 0.653279i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −8.91586 | − | 15.9699i | −0.522657 | − | 0.936174i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 15.3690 | − | 5.59385i | 0.897865 | − | 0.326796i | 0.148468 | − | 0.988917i | \(-0.452566\pi\) |
0.749397 | + | 0.662121i | \(0.230344\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −5.20178 | − | 29.5008i | −0.302859 | − | 1.71760i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −0.358499 | − | 2.71478i | −0.0208022 | − | 0.157528i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −0.574470 | − | 3.25798i | −0.0332225 | − | 0.188414i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 16.5126 | + | 2.09953i | 0.951772 | + | 0.121015i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 28.4238 | + | 16.9613i | 1.63290 | + | 0.974402i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 39.2339 | − | 22.6517i | 2.24652 | − | 1.29703i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 24.9496 | + | 14.4047i | 1.42395 | + | 0.822118i | 0.996634 | − | 0.0819833i | \(-0.0261254\pi\) |
0.427317 | + | 0.904102i | \(0.359459\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −0.886847 | + | 0.722630i | −0.0504510 | + | 0.0411090i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −0.551909 | + | 3.13003i | −0.0312959 | + | 0.177488i | −0.996449 | − | 0.0841979i | \(-0.973167\pi\) |
0.965153 | + | 0.261686i | \(0.0842783\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1.37077 | + | 1.63362i | 0.0774804 | + | 0.0923376i | 0.803392 | − | 0.595450i | \(-0.203026\pi\) |
−0.725912 | + | 0.687788i | \(0.758582\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −9.94242 | + | 29.0432i | −0.560192 | + | 1.63640i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 7.88509 | − | 21.6641i | 0.442871 | − | 1.21678i | −0.494725 | − | 0.869050i | \(-0.664731\pi\) |
0.937596 | − | 0.347727i | \(-0.113047\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.0651993 | + | 0.0547087i | 0.00365046 | + | 0.00306310i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 3.34492 | − | 17.4919i | 0.186695 | − | 0.976303i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 8.23690i | − | 0.458314i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 4.40529i | 0.244362i | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −8.34789 | − | 1.59634i | −0.461640 | − | 0.0882778i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 3.07146 | + | 7.32321i | 0.169335 | + | 0.403741i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −27.5488 | − | 10.0269i | −1.51422 | − | 0.551130i | −0.554521 | − | 0.832170i | \(-0.687098\pi\) |
−0.959696 | + | 0.281040i | \(0.909321\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 12.1197 | − | 9.58821i | 0.664156 | − | 0.525431i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −30.5932 | + | 25.6708i | −1.67149 | + | 1.40254i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 2.98036 | − | 16.9025i | 0.162351 | − | 0.920735i | −0.789404 | − | 0.613874i | \(-0.789610\pi\) |
0.951754 | − | 0.306861i | \(-0.0992787\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −8.65258 | + | 7.05039i | −0.469944 | + | 0.382925i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −1.44577 | + | 2.50414i | −0.0782928 | + | 0.135607i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −14.5419 | + | 11.4687i | −0.785191 | + | 0.619254i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −25.6704 | + | 43.0185i | −1.38205 | + | 2.31604i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −8.98798 | − | 24.6943i | −0.482500 | − | 1.32566i | −0.907343 | − | 0.420391i | \(-0.861893\pi\) |
0.424843 | − | 0.905267i | \(-0.360329\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −20.9044 | + | 3.68602i | −1.11899 | + | 0.197308i | −0.702397 | − | 0.711786i | \(-0.747887\pi\) |
−0.416592 | + | 0.909094i | \(0.636776\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −1.69538 | − | 1.55230i | −0.0904927 | − | 0.0828556i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −5.37900 | − | 30.5059i | −0.286296 | − | 1.62366i | −0.700621 | − | 0.713534i | \(-0.747093\pi\) |
0.414325 | − | 0.910129i | \(-0.364018\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −7.22577 | − | 19.8526i | −0.383504 | − | 1.05367i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 9.35952 | − | 0.315082i | 0.495359 | − | 0.0166759i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 5.58490 | − | 3.22445i | 0.294760 | − | 0.170180i | −0.345327 | − | 0.938483i | \(-0.612232\pi\) |
0.640086 | + | 0.768303i | \(0.278899\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −1.37697 | + | 2.38499i | −0.0724724 | + | 0.125526i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −6.60269 | + | 17.3582i | −0.346551 | + | 0.911068i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 52.1115 | + | 9.18866i | 2.72764 | + | 0.480956i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 1.21743 | + | 1.45088i | 0.0635493 | + | 0.0757352i | 0.796883 | − | 0.604134i | \(-0.206481\pi\) |
−0.733333 | + | 0.679869i | \(0.762036\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −9.21920 | + | 14.9554i | −0.479932 | + | 0.778547i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −23.3521 | + | 21.5894i | −1.21238 | + | 1.12087i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −20.5013 | − | 17.2027i | −1.06152 | − | 0.890720i | −0.0672618 | − | 0.997735i | \(-0.521426\pi\) |
−0.994257 | + | 0.107015i | \(0.965871\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 21.7138 | − | 25.1328i | 1.12129 | − | 1.29785i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0.0714462 | 0.00367967 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −34.2398 | −1.75878 | −0.879389 | − | 0.476104i | \(-0.842049\pi\) | ||||
−0.879389 | + | 0.476104i | \(0.842049\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 2.12404 | + | 6.10826i | 0.108818 | + | 0.312936i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −7.21930 | − | 6.05771i | −0.368889 | − | 0.309534i | 0.439433 | − | 0.898275i | \(-0.355179\pi\) |
−0.808322 | + | 0.588741i | \(0.799624\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −3.95963 | + | 3.66074i | −0.201801 | + | 0.186569i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 17.9147 | − | 5.94153i | 0.910656 | − | 0.302025i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −3.40981 | − | 4.06365i | −0.172884 | − | 0.206035i | 0.672644 | − | 0.739966i | \(-0.265159\pi\) |
−0.845528 | + | 0.533931i | \(0.820714\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 15.0502 | + | 2.65375i | 0.761120 | + | 0.134206i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −27.2862 | + | 4.40679i | −1.37641 | + | 0.222293i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −16.8274 | + | 29.1460i | −0.846681 | + | 1.46649i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 22.2739 | − | 12.8599i | 1.11790 | − | 0.645418i | 0.177033 | − | 0.984205i | \(-0.443350\pi\) |
0.940863 | + | 0.338787i | \(0.110017\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 16.2978 | + | 8.69193i | 0.815909 | + | 0.435141i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −2.53667 | − | 6.96944i | −0.126675 | − | 0.348037i | 0.860101 | − | 0.510123i | \(-0.170400\pi\) |
−0.986777 | + | 0.162086i | \(0.948178\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.421492 | + | 2.39040i | 0.0209960 | + | 0.119074i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 4.05919 | + | 34.5707i | 0.201703 | + | 1.71783i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 2.67346 | − | 0.471403i | 0.132519 | − | 0.0233666i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 5.51677 | + | 15.1572i | 0.272787 | + | 0.749475i | 0.998132 | + | 0.0610902i | \(0.0194577\pi\) |
−0.725346 | + | 0.688385i | \(0.758320\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 18.0308 | + | 0.259891i | 0.889393 | + | 0.0128195i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −0.984575 | − | 20.4687i | −0.0484478 | − | 1.00720i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 13.4016 | − | 23.2123i | 0.657861 | − | 1.13945i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 3.43661 | + | 21.2790i | 0.168292 | + | 1.04204i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 3.79439 | − | 21.5190i | 0.185368 | − | 1.05127i | −0.740114 | − | 0.672481i | \(-0.765228\pi\) |
0.925482 | − | 0.378792i | \(-0.123660\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 21.7924 | − | 18.2860i | 1.06210 | − | 0.891205i | 0.0677839 | − | 0.997700i | \(-0.478407\pi\) |
0.994313 | + | 0.106495i | \(0.0339627\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 6.72817 | + | 5.98439i | 0.327135 | + | 0.290971i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −19.1229 | − | 6.96016i | −0.927596 | − | 0.337617i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 28.5795 | − | 11.9866i | 1.38306 | − | 0.580074i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −0.132624 | − | 0.381398i | −0.00640317 | − | 0.0184141i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 35.9184i | 1.73013i | 0.501662 | + | 0.865064i | \(0.332722\pi\) | ||||
−0.501662 | + | 0.865064i | \(0.667278\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 20.0480i | 0.963447i | 0.876323 | + | 0.481724i | \(0.159989\pi\) | ||||
−0.876323 | + | 0.481724i | \(0.840011\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −0.818663 | − | 0.707294i | −0.0392519 | − | 0.0339122i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 23.0902 | + | 19.3750i | 1.10455 | + | 0.926831i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −1.50467 | + | 4.13404i | −0.0718138 | + | 0.197307i | −0.970407 | − | 0.241477i | \(-0.922368\pi\) |
0.898593 | + | 0.438783i | \(0.144590\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −9.25314 | + | 18.8515i | −0.440626 | + | 0.897691i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 15.0733 | + | 17.9636i | 0.716152 | + | 0.853477i | 0.994251 | − | 0.107076i | \(-0.0341487\pi\) |
−0.278099 | + | 0.960553i | \(0.589704\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.533037 | + | 3.02300i | −0.0252684 | + | 0.143304i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 30.3802 | + | 11.5560i | 1.43693 | + | 0.546580i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 3.97274 | + | 2.29366i | 0.187485 | + | 0.108245i | 0.590805 | − | 0.806815i | \(-0.298810\pi\) |
−0.403320 | + | 0.915059i | \(0.632144\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −2.67273 | + | 1.54310i | −0.125854 | + | 0.0726618i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −5.22251 | + | 2.91568i | −0.245375 | + | 0.136990i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −0.570964 | + | 4.49058i | −0.0267672 | + | 0.210522i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.49961 | + | 8.50469i | 0.0701487 | + | 0.397833i | 0.999584 | + | 0.0288474i | \(0.00918368\pi\) |
−0.929435 | + | 0.368985i | \(0.879705\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 9.41698 | − | 4.90690i | 0.439547 | − | 0.229034i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −1.10346 | − | 6.25802i | −0.0513932 | − | 0.291465i | 0.948269 | − | 0.317469i | \(-0.102833\pi\) |
−0.999662 | + | 0.0260038i | \(0.991722\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 5.00316 | − | 1.82100i | 0.232517 | − | 0.0846291i | −0.223134 | − | 0.974788i | \(-0.571629\pi\) |
0.455651 | + | 0.890159i | \(0.349407\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 18.8345 | − | 31.5629i | 0.873430 | − | 1.46369i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 7.53405 | + | 13.0494i | 0.348634 | + | 0.603852i | 0.986007 | − | 0.166703i | \(-0.0533122\pi\) |
−0.637373 | + | 0.770556i | \(0.719979\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −22.9762 | + | 14.7810i | −1.06094 | + | 0.682524i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −13.8275 | + | 11.2671i | −0.637137 | + | 0.519159i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 3.26519 | + | 0.575741i | 0.150133 | + | 0.0264726i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −25.7999 | − | 30.7472i | −1.18378 | − | 1.41078i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −13.3051 | + | 33.5168i | −0.609201 | + | 1.53463i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 8.09837 | + | 2.94757i | 0.370024 | + | 0.134678i | 0.520338 | − | 0.853961i | \(-0.325806\pi\) |
−0.150314 | + | 0.988638i | \(0.548028\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.46481 | − | 1.74569i | 0.0667894 | − | 0.0795965i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −21.1324 | + | 26.9783i | −0.961556 | + | 1.22756i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 40.8410i | 1.85449i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 27.0332 | 1.22499 | 0.612495 | − | 0.790475i | \(-0.290166\pi\) | ||||
0.612495 | + | 0.790475i | \(0.290166\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −29.1820 | − | 5.58038i | −1.31966 | − | 0.252354i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 12.7073 | − | 15.1440i | 0.573474 | − | 0.683440i | −0.398866 | − | 0.917009i | \(-0.630596\pi\) |
0.972340 | + | 0.233569i | \(0.0750405\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.112882 | + | 0.310140i | −0.00508394 | + | 0.0139680i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −2.25605 | + | 5.68317i | −0.101402 | + | 0.255440i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −3.19058 | − | 14.0959i | −0.143117 | − | 0.632288i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 3.66923 | − | 20.8092i | 0.164257 | − | 0.931549i | −0.785570 | − | 0.618773i | \(-0.787630\pi\) |
0.949827 | − | 0.312776i | \(-0.101259\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 3.15580 | + | 3.87296i | 0.140991 | + | 0.173031i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 1.01476 | − | 1.75761i | 0.0452458 | − | 0.0783681i | −0.842516 | − | 0.538672i | \(-0.818926\pi\) |
0.887761 | + | 0.460304i | \(0.152260\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −36.9550 | − | 64.0079i | −1.64448 | − | 2.84831i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 19.0446 | + | 11.3645i | 0.845802 | + | 0.504715i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −26.7901 | + | 9.75081i | −1.18745 | + | 0.432197i | −0.858828 | − | 0.512264i | \(-0.828807\pi\) |
−0.328624 | + | 0.944461i | \(0.606585\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 34.5712 | + | 10.7321i | 1.52934 | + | 0.474758i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 20.9242 | + | 0.905292i | 0.923828 | + | 0.0399696i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 2.51564 | − | 0.443575i | 0.110852 | − | 0.0195462i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.541001 | + | 1.48639i | 0.0237932 | + | 0.0653713i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 5.34014 | − | 2.98135i | 0.234406 | − | 0.130867i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −6.77514 | − | 11.7349i | −0.296824 | − | 0.514115i | 0.678583 | − | 0.734523i | \(-0.262594\pi\) |
−0.975408 | + | 0.220409i | \(0.929261\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 4.44184 | + | 2.56450i | 0.194228 | + | 0.112138i | 0.593960 | − | 0.804494i | \(-0.297564\pi\) |
−0.399732 | + | 0.916632i | \(0.630897\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 33.9508 | − | 30.4924i | 1.48174 | − | 1.33080i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −11.0424 | − | 1.94707i | −0.481014 | − | 0.0848157i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −25.2214 | + | 21.1632i | −1.09658 | + | 0.920141i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −11.0333 | − | 20.4496i | −0.478804 | − | 0.887437i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −0.886067 | + | 2.43445i | −0.0383798 | + | 0.105448i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −25.5612 | + | 30.4627i | −1.10511 | + | 1.31702i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 29.7674 | + | 25.7179i | 1.28456 | + | 1.10981i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −3.00296 | + | 2.14260i | −0.129347 | + | 0.0922885i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 19.8658 | 0.854097 | 0.427048 | − | 0.904229i | \(-0.359553\pi\) | ||||
0.427048 | + | 0.904229i | \(0.359553\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −0.437161 | + | 0.152015i | −0.0187604 | + | 0.00652358i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 14.5381 | + | 12.1989i | 0.622744 | + | 0.522544i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −15.5559 | − | 5.66188i | −0.665122 | − | 0.242085i | −0.0126758 | − | 0.999920i | \(-0.504035\pi\) |
−0.652446 | + | 0.757835i | \(0.726257\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 23.3546 | − | 26.2573i | 0.996751 | − | 1.12063i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −0.498666 | + | 0.418430i | −0.0212439 | + | 0.0178257i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −13.9343 | + | 18.3272i | −0.592548 | + | 0.779350i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −34.0661 | + | 5.50178i | −1.44603 | + | 0.233537i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −25.1633 | − | 14.5281i | −1.06620 | − | 0.615574i | −0.139063 | − | 0.990284i | \(-0.544409\pi\) |
−0.927142 | + | 0.374710i | \(0.877742\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 2.41033 | − | 1.39161i | 0.101946 | − | 0.0588587i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1.86515 | + | 0.0268837i | 0.0787465 | + | 0.00113503i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 2.56115 | − | 0.932182i | 0.107940 | − | 0.0392868i | −0.287486 | − | 0.957785i | \(-0.592819\pi\) |
0.395425 | + | 0.918498i | \(0.370597\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 24.5440 | − | 4.32777i | 1.03257 | − | 0.182071i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −0.228270 | + | 23.8107i | −0.00958643 | + | 0.999954i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 31.2049 | − | 5.50227i | 1.30818 | − | 0.230667i | 0.524275 | − | 0.851549i | \(-0.324336\pi\) |
0.783904 | + | 0.620882i | \(0.213225\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −8.83590 | + | 3.21601i | −0.369771 | + | 0.134586i | −0.520220 | − | 0.854032i | \(-0.674150\pi\) |
0.150449 | + | 0.988618i | \(0.451928\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −13.7792 | − | 0.198610i | −0.575634 | − | 0.00829704i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 64.4923 | − | 37.2346i | 2.68951 | − | 1.55279i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −4.00443 | − | 2.31196i | −0.166707 | − | 0.0962481i | 0.414325 | − | 0.910129i | \(-0.364018\pi\) |
−0.581032 | + | 0.813881i | \(0.697351\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −16.7072 | + | 2.69826i | −0.694328 | + | 0.112136i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 11.0975 | − | 14.5960i | 0.460403 | − | 0.605546i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −4.85265 | + | 4.07186i | −0.200976 | + | 0.168639i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 1.61579 | + | 4.87188i | 0.0668046 | + | 0.201427i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −9.10676 | − | 3.31459i | −0.375876 | − | 0.136808i | 0.147172 | − | 0.989111i | \(-0.452983\pi\) |
−0.523048 | + | 0.852303i | \(0.675205\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −16.9414 | − | 14.2155i | −0.698058 | − | 0.585740i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −36.4329 | + | 12.6689i | −1.49865 | + | 0.521129i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −1.01328 | −0.0416104 | −0.0208052 | − | 0.999784i | \(-0.506623\pi\) | ||||
−0.0208052 | + | 0.999784i | \(0.506623\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −18.5910 | − | 9.57340i | −0.762157 | − | 0.392471i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −32.8237 | − | 28.3585i | −1.34339 | − | 1.16064i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −12.1760 | + | 14.5108i | −0.497498 | + | 0.592895i | −0.955108 | − | 0.296258i | \(-0.904261\pi\) |
0.457610 | + | 0.889153i | \(0.348706\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −6.74204 | + | 18.5236i | −0.275014 | + | 0.755593i | 0.722895 | + | 0.690957i | \(0.242811\pi\) |
−0.997909 | + | 0.0646360i | \(0.979411\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −16.2558 | + | 26.3702i | −0.661987 | + | 1.07388i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 31.7672 | − | 26.6559i | 1.29152 | − | 1.08372i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 6.65045 | + | 1.17265i | 0.269933 | + | 0.0475966i | 0.306976 | − | 0.951717i | \(-0.400683\pi\) |
−0.0370430 | + | 0.999314i | \(0.511794\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −0.494534 | − | 0.550624i | −0.0200395 | − | 0.0223124i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 1.14992 | + | 0.663906i | 0.0465207 | + | 0.0268588i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −2.23959 | − | 3.87908i | −0.0904561 | − | 0.156675i | 0.817247 | − | 0.576288i | \(-0.195499\pi\) |
−0.907703 | + | 0.419613i | \(0.862166\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 34.2532 | − | 19.1232i | 1.38122 | − | 0.771123i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −12.2280 | − | 33.5960i | −0.492279 | − | 1.35252i | −0.898590 | − | 0.438790i | \(-0.855407\pi\) |
0.406311 | − | 0.913735i | \(-0.366815\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −22.6201 | + | 3.98854i | −0.909179 | + | 0.160313i | −0.608630 | − | 0.793454i | \(-0.708281\pi\) |
−0.300548 | + | 0.953767i | \(0.597170\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −8.39545 | + | 37.9403i | −0.336898 | + | 1.52249i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −0.622570 | + | 2.00548i | −0.0249427 | + | 0.0803480i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −22.9036 | + | 8.33624i | −0.916145 | + | 0.333450i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 3.15935 | + | 1.88528i | 0.126172 | + | 0.0752908i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 5.26351 | + | 9.11666i | 0.209870 | + | 0.363505i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 11.8477 | − | 20.5208i | 0.471649 | − | 0.816919i | −0.527825 | − | 0.849353i | \(-0.676992\pi\) |
0.999474 | + | 0.0324337i | \(0.0103258\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −29.0089 | − | 35.6011i | −1.15300 | − | 1.41502i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 2.50757 | − | 14.2211i | 0.0995098 | − | 0.564348i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.774938 | + | 2.99814i | −0.0307042 | + | 0.118791i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −10.1675 | − | 12.8520i | −0.402222 | − | 0.508417i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 3.54522 | − | 9.74042i | 0.140028 | − | 0.384723i | −0.849779 | − | 0.527139i | \(-0.823265\pi\) |
0.989807 | + | 0.142416i | \(0.0454869\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −22.5352 | + | 26.8565i | −0.888703 | + | 1.05912i | 0.109176 | + | 0.994022i | \(0.465179\pi\) |
−0.997879 | + | 0.0650928i | \(0.979266\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −41.3952 | − | 7.91586i | −1.62993 | − | 0.311687i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 41.8249 | 1.64431 | 0.822154 | − | 0.569265i | \(-0.192772\pi\) | ||||
0.822154 | + | 0.569265i | \(0.192772\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | − | 4.08179i | − | 0.160224i | ||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 15.5049 | − | 19.7941i | 0.607686 | − | 0.775794i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 5.71332 | − | 6.80888i | 0.223580 | − | 0.266452i | −0.642581 | − | 0.766218i | \(-0.722136\pi\) |
0.866160 | + | 0.499766i | \(0.166581\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 57.9959 | + | 21.1088i | 2.26609 | + | 0.824789i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 40.6105 | − | 5.95948i | 1.58437 | − | 0.232502i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 12.6768 | + | 15.1076i | 0.493818 | + | 0.588509i | 0.954184 | − | 0.299220i | \(-0.0967264\pi\) |
−0.460366 | + | 0.887729i | \(0.652282\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −35.7231 | − | 6.29895i | −1.38947 | − | 0.245001i | −0.571659 | − | 0.820491i | \(-0.693700\pi\) |
−0.817809 | + | 0.575490i | \(0.804811\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 1.21389 | − | 0.989112i | 0.0471434 | − | 0.0384139i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −22.3143 | − | 34.6863i | −0.865313 | − | 1.34508i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.603881 | − | 1.04595i | −0.0233824 | − | 0.0404995i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −21.1251 | + | 35.4014i | −0.816742 | + | 1.36870i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 5.80076 | − | 2.11130i | 0.223936 | − | 0.0815060i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −5.46796 | − | 31.0103i | −0.210774 | − | 1.19536i | −0.888091 | − | 0.459668i | \(-0.847968\pi\) |
0.677317 | − | 0.735692i | \(-0.263143\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 19.7827 | − | 47.8130i | 0.761435 | − | 1.84032i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −3.28571 | − | 18.6342i | −0.126280 | − | 0.716170i | −0.980539 | − | 0.196323i | \(-0.937100\pi\) |
0.854259 | − | 0.519847i | \(-0.174011\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −3.52396 | + | 27.7156i | −0.135237 | + | 1.06363i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −8.53484 | + | 4.76492i | −0.327056 | + | 0.182592i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −34.0145 | + | 19.6383i | −1.30153 | + | 0.751438i | −0.980666 | − | 0.195688i | \(-0.937306\pi\) |
−0.320863 | + | 0.947126i | \(0.603973\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −34.8713 | − | 20.1330i | −1.33236 | − | 0.769241i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 10.3222 | + | 3.92635i | 0.393816 | + | 0.149799i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −0.923390 | + | 5.23680i | −0.0351784 | + | 0.199506i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 5.86756 | + | 6.99268i | 0.223212 | + | 0.266014i | 0.866015 | − | 0.500017i | \(-0.166673\pi\) |
−0.642803 | + | 0.766032i | \(0.722229\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −2.02138 | + | 3.66206i | −0.0767857 | + | 0.139110i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 16.4616 | − | 45.2278i | 0.624423 | − | 1.71559i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −9.16772 | − | 7.69263i | −0.347252 | − | 0.291379i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −28.0061 | − | 24.1962i | −1.05929 | − | 0.915184i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 48.6132i | 1.83610i | 0.396469 | + | 0.918048i | \(0.370235\pi\) | ||||
−0.396469 | + | 0.918048i | \(0.629765\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 20.7629i | 0.783089i | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −6.60384 | − | 18.9912i | −0.248715 | − | 0.715248i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −19.5556 | − | 46.6259i | −0.735463 | − | 1.75355i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 15.1822 | + | 5.52587i | 0.570179 | + | 0.207528i | 0.610990 | − | 0.791639i | \(-0.290772\pi\) |
−0.0408102 | + | 0.999167i | \(0.512994\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −5.27224 | + | 25.5675i | −0.197725 | + | 0.958856i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 31.4322 | − | 26.3748i | 1.17715 | − | 0.987743i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.156572 | + | 0.887963i | −0.00585545 | + | 0.0332079i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −6.50397 | − | 40.2716i | −0.242895 | − | 1.50397i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 5.26374 | − | 9.11707i | 0.196305 | − | 0.340009i | −0.751023 | − | 0.660276i | \(-0.770439\pi\) |
0.947327 | + | 0.320267i | \(0.103773\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.74544 | − | 0.0839583i | 0.0650037 | − | 0.00312677i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 8.67191 | + | 0.124995i | 0.322512 | + | 0.00464860i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0.550061 | + | 1.51128i | 0.0204287 | + | 0.0561275i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 41.5663 | − | 7.32927i | 1.54161 | − | 0.271827i | 0.662726 | − | 0.748862i | \(-0.269400\pi\) |
0.878884 | + | 0.477035i | \(0.158288\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 11.4300 | + | 24.4613i | 0.423334 | + | 0.905974i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 2.23259 | + | 12.6617i | 0.0825754 | + | 0.468309i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −6.35155 | − | 17.4508i | −0.234600 | − | 0.644558i | −0.999999 | − | 0.00100281i | \(-0.999681\pi\) |
0.765399 | − | 0.643555i | \(-0.222541\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 38.5602 | − | 26.6824i | 1.42232 | − | 0.984196i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −4.71271 | + | 2.72088i | −0.173595 | + | 0.100225i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 2.22752 | − | 3.85819i | 0.0819408 | − | 0.141926i | −0.822143 | − | 0.569281i | \(-0.807221\pi\) |
0.904084 | + | 0.427356i | \(0.140555\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 3.04888 | − | 0.492403i | 0.112003 | − | 0.0180889i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −9.18232 | − | 1.61909i | −0.336867 | − | 0.0593987i | 0.00265623 | − | 0.999996i | \(-0.499154\pi\) |
−0.339523 | + | 0.940598i | \(0.610266\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −46.6530 | − | 55.5989i | −1.70923 | − | 2.03698i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 4.19890 | − | 20.3624i | 0.153630 | − | 0.745020i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −19.9749 | + | 18.4671i | −0.729866 | + | 0.674773i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −25.2029 | − | 21.1478i | −0.919668 | − | 0.771693i | 0.0542659 | − | 0.998527i | \(-0.482718\pi\) |
−0.973933 | + | 0.226834i | \(0.927163\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −1.74690 | − | 5.02370i | −0.0636606 | − | 0.183074i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 13.3559 | 0.486070 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −8.61580 | −0.313147 | −0.156573 | − | 0.987666i | \(-0.550045\pi\) | ||||
−0.156573 | + | 0.987666i | \(0.550045\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −4.46259 | + | 5.16526i | −0.161982 | + | 0.187487i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −26.6750 | − | 22.3830i | −0.966969 | − | 0.811383i | 0.0151036 | − | 0.999886i | \(-0.495192\pi\) |
−0.982073 | + | 0.188503i | \(0.939637\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 8.81329 | + | 9.53287i | 0.319063 | + | 0.345113i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −23.7011 | − | 0.683387i | −0.856917 | − | 0.0247079i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −2.20246 | − | 2.62479i | −0.0795262 | − | 0.0947757i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 39.3508 | + | 6.93861i | 1.41903 | + | 0.250213i | 0.829938 | − | 0.557856i | \(-0.188376\pi\) |
0.589088 | + | 0.808069i | \(0.299487\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −17.0822 | + | 44.9082i | −0.615200 | + | 1.61733i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −15.8113 | + | 27.3859i | −0.568692 | + | 0.985003i | 0.428004 | + | 0.903777i | \(0.359217\pi\) |
−0.996696 | + | 0.0812264i | \(0.974116\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −47.3183 | + | 27.3192i | −1.69972 | + | 0.981336i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −23.5928 | + | 0.794235i | −0.846386 | + | 0.0284930i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −8.07315 | − | 22.1808i | −0.289251 | − | 0.794709i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.499886 | − | 2.83500i | −0.0178873 | − | 0.101444i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −0.775443 | − | 0.320840i | −0.0277121 | − | 0.0114659i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 39.2232 | − | 6.91610i | 1.39993 | − | 0.246846i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 18.6226 | + | 51.1653i | 0.663825 | + | 1.82385i | 0.558671 | + | 0.829389i | \(0.311311\pi\) |
0.105154 | + | 0.994456i | \(0.466466\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −0.361148 | + | 0.605211i | −0.0128572 | + | 0.0215461i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 17.0295 | − | 0.819145i | 0.605500 | − | 0.0291254i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 2.59095 | − | 4.48766i | 0.0920074 | − | 0.159361i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 62.4233 | − | 50.8644i | 2.21393 | − | 1.80397i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −2.68399 | + | 15.2217i | −0.0950718 | + | 0.539179i | 0.899653 | + | 0.436605i | \(0.143819\pi\) |
−0.994725 | + | 0.102575i | \(0.967292\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −4.69876 | + | 3.94273i | −0.166230 | + | 0.139484i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0.345711 | + | 2.35582i | 0.0122151 | + | 0.0832390i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 6.77543 | + | 2.46605i | 0.239100 | + | 0.0870251i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 70.5668 | − | 29.5967i | 2.48715 | − | 1.04315i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 27.2689 | + | 5.21455i | 0.959912 | + | 0.183561i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | − | 10.5892i | − | 0.372298i | −0.982522 | − | 0.186149i | \(-0.940399\pi\) | ||
0.982522 | − | 0.186149i | \(-0.0596007\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 19.7910i | − | 0.694955i | −0.937688 | − | 0.347477i | \(-0.887038\pi\) | ||
0.937688 | − | 0.347477i | \(-0.112962\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0.681772 | − | 3.56526i | 0.0239108 | − | 0.125039i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 50.8213 | + | 42.6441i | 1.78019 | + | 1.49376i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −8.67311 | + | 23.8292i | −0.303434 | + | 0.833677i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0.676141 | + | 3.44558i | 0.0236263 | + | 0.120398i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 13.5290 | + | 16.1232i | 0.472165 | + | 0.562704i | 0.948589 | − | 0.316512i | \(-0.102512\pi\) |
−0.476424 | + | 0.879216i | \(0.658067\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −6.18334 | + | 35.0674i | −0.215538 | + | 1.22237i | 0.664434 | + | 0.747347i | \(0.268673\pi\) |
−0.879971 | + | 0.475027i | \(0.842438\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 7.04653 | − | 5.74173i | 0.245329 | − | 0.199901i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −12.2674 | − | 7.08260i | −0.426580 | − | 0.246286i | 0.271309 | − | 0.962492i | \(-0.412544\pi\) |
−0.697889 | + | 0.716206i | \(0.745877\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 18.8774 | − | 10.8989i | 0.655638 | − | 0.378533i | −0.134975 | − | 0.990849i | \(-0.543095\pi\) |
0.790613 | + | 0.612316i | \(0.209762\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 27.1526 | + | 16.2028i | 0.941915 | + | 0.562069i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −11.7902 | − | 8.10085i | −0.408507 | − | 0.280678i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −1.93714 | − | 10.9861i | −0.0670375 | − | 0.380188i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 6.15978 | − | 27.8370i | 0.212913 | − | 0.962188i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −4.48518 | − | 25.4367i | −0.154846 | − | 0.878173i | −0.958927 | − | 0.283654i | \(-0.908453\pi\) |
0.804081 | − | 0.594520i | \(-0.202658\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −27.2266 | + | 9.90966i | −0.938847 | + | 0.341713i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −2.48794 | − | 4.45636i | −0.0856893 | − | 0.153485i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −24.7608 | − | 42.8869i | −0.851797 | − | 1.47536i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 23.8580 | − | 15.3482i | 0.819769 | − | 0.527372i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 45.8710 | + | 17.4484i | 1.57429 | + | 0.598827i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −37.9373 | − | 6.68937i | −1.30047 | − | 0.229309i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 6.80562 | + | 8.11062i | 0.233020 | + | 0.277702i | 0.869865 | − | 0.493289i | \(-0.164206\pi\) |
−0.636845 | + | 0.770991i | \(0.719761\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −39.8101 | − | 24.5408i | −1.36148 | − | 0.839276i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 4.04919 | + | 1.47379i | 0.138318 | + | 0.0503436i | 0.410252 | − | 0.911972i | \(-0.365441\pi\) |
−0.271934 | + | 0.962316i | \(0.587663\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 2.43859 | − | 2.90620i | 0.0832036 | − | 0.0991582i | −0.722837 | − | 0.691019i | \(-0.757162\pi\) |
0.806040 | + | 0.591861i | \(0.201607\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 24.8950 | − | 10.0219i | 0.848420 | − | 0.341546i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 23.0651i | 0.785147i | 0.919721 | + | 0.392573i | \(0.128415\pi\) | ||||
−0.919721 | + | 0.392573i | \(0.871585\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −13.6567 | −0.464342 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −7.29518 | − | 20.9793i | −0.247757 | − | 0.712494i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −2.94771 | + | 3.51294i | −0.0999942 | + | 0.119168i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −1.56236 | + | 4.29256i | −0.0529386 | + | 0.145448i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 9.97256 | + | 30.0690i | 0.337520 | + | 1.01768i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −49.4829 | + | 11.2004i | −1.67283 | + | 0.378641i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 1.83482 | − | 10.4058i | 0.0619573 | − | 0.351378i | −0.938031 | − | 0.346551i | \(-0.887353\pi\) |
0.999988 | − | 0.00482623i | \(-0.00153624\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −27.9659 | + | 4.51656i | −0.943265 | + | 0.152340i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −7.77385 | + | 13.4647i | −0.261908 | + | 0.453637i | −0.966749 | − | 0.255728i | \(-0.917685\pi\) |
0.704841 | + | 0.709365i | \(0.251018\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 19.0385 | + | 32.9756i | 0.640696 | + | 1.10972i | 0.985278 | + | 0.170962i | \(0.0546876\pi\) |
−0.344581 | + | 0.938757i | \(0.611979\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −0.747780 | + | 51.8797i | −0.0251364 | + | 1.74392i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −16.5628 | + | 6.02837i | −0.556124 | + | 0.202413i | −0.604766 | − | 0.796404i | \(-0.706733\pi\) |
0.0486411 | + | 0.998816i | \(0.484511\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 2.92876 | − | 9.43441i | 0.0982274 | − | 0.316420i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −0.273285 | + | 4.73508i | −0.00915540 | + | 0.158631i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −11.9142 | + | 2.10079i | −0.398693 | + | 0.0703003i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −30.0432 | − | 82.5430i | −1.00423 | − | 2.75911i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −0.0825828 | + | 5.72945i | −0.00275736 | + | 0.191301i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 0.443071 | + | 0.767421i | 0.0147772 | + | 0.0255949i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −21.2735 | − | 12.2822i | −0.708722 | − | 0.409181i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −27.4087 | − | 8.94366i | −0.912103 | − | 0.297626i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 1.01779 | + | 0.179464i | 0.0338324 | + | 0.00596557i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −33.8290 | + | 28.3859i | −1.12327 | + | 0.942538i | −0.998765 | − | 0.0496805i | \(-0.984180\pi\) |
−0.124508 | + | 0.992219i | \(0.539735\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −42.8374 | − | 38.1018i | −1.42083 | − | 1.26376i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −8.64070 | + | 23.7401i | −0.286279 | + | 0.786546i | 0.710300 | + | 0.703899i | \(0.248559\pi\) |
−0.996579 | + | 0.0826462i | \(0.973663\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 2.34760 | − | 2.79776i | 0.0776943 | − | 0.0925924i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −74.1147 | + | 25.7721i | −2.45016 | + | 0.851998i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 37.5360 | + | 19.3291i | 1.23955 | + | 0.638302i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 9.20198 | 0.303545 | 0.151773 | − | 0.988415i | \(-0.451502\pi\) | ||||
0.151773 | + | 0.988415i | \(0.451502\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −37.7588 | − | 32.6222i | −1.24420 | − | 1.07494i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −1.85117 | − | 1.55331i | −0.0609318 | − | 0.0511279i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 48.2035 | + | 17.5446i | 1.58492 | + | 0.576864i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 1.74381 | − | 0.940848i | 0.0572743 | − | 0.0309015i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −42.0340 | + | 35.2707i | −1.37909 | + | 1.15720i | −0.409545 | + | 0.912290i | \(0.634312\pi\) |
−0.969547 | + | 0.244905i | \(0.921243\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −12.1501 | − | 25.4643i | −0.398203 | − | 0.834559i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 1.95718 | − | 5.14534i | 0.0640752 | − | 0.168451i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −3.60717 | − | 2.08260i | −0.117967 | − | 0.0681083i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 13.9817 | − | 8.07236i | 0.456763 | − | 0.263712i | −0.253919 | − | 0.967225i | \(-0.581720\pi\) |
0.710682 | + | 0.703513i | \(0.248386\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −1.80054 | − | 3.22509i | −0.0587583 | − | 0.105247i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 1.41968 | − | 0.516721i | 0.0462802 | − | 0.0168446i | −0.318776 | − | 0.947830i | \(-0.603272\pi\) |
0.365057 | + | 0.930985i | \(0.381050\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 43.1289 | − | 7.60479i | 1.40447 | − | 0.247646i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 26.3626 | − | 46.1746i | 0.857576 | − | 1.50206i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −21.7837 | + | 3.84105i | −0.707874 | + | 0.124817i | −0.515983 | − | 0.856599i | \(-0.672573\pi\) |
−0.191891 | + | 0.981416i | \(0.561462\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 5.68757 | − | 2.07011i | 0.184626 | − | 0.0671985i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −20.4621 | + | 34.2903i | −0.663528 | + | 1.11194i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −15.2587 | + | 8.80962i | −0.494278 | + | 0.285371i | −0.726347 | − | 0.687328i | \(-0.758784\pi\) |
0.232070 | + | 0.972699i | \(0.425450\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 26.6488 | + | 15.3857i | 0.862334 | + | 0.497869i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −0.0931209 | − | 0.114282i | −0.00301017 | − | 0.00369423i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −21.9273 | − | 16.6715i | −0.708069 | − | 0.538352i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 0.685388 | − | 0.575109i | 0.0221093 | − | 0.0185519i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −11.3809 | + | 28.6695i | −0.366745 | + | 0.923862i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 35.5107 | + | 12.9248i | 1.14313 | + | 0.416065i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −9.81476 | − | 8.23556i | −0.315621 | − | 0.264838i | 0.471189 | − | 0.882032i | \(-0.343825\pi\) |
−0.786811 | + | 0.617194i | \(0.788269\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −2.67963 | + | 14.0128i | −0.0860820 | + | 0.450157i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 35.1253 | 1.12722 | 0.563612 | − | 0.826039i | \(-0.309411\pi\) | ||||
0.563612 | + | 0.826039i | \(0.309411\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 15.0737 | − | 29.2722i | 0.483239 | − | 0.938424i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 1.43313 | − | 7.49439i | 0.0458968 | − | 0.240013i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 0.977986 | − | 1.16552i | 0.0312885 | − | 0.0372882i | −0.750173 | − | 0.661241i | \(-0.770030\pi\) |
0.781462 | + | 0.623953i | \(0.214474\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −0.143056 | + | 0.393044i | −0.00457210 | + | 0.0125618i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 13.6823 | + | 5.43147i | 0.436843 | + | 0.173413i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −11.1072 | + | 9.32003i | −0.354264 | + | 0.297263i | −0.802500 | − | 0.596653i | \(-0.796497\pi\) |
0.448236 | + | 0.893915i | \(0.352053\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 84.8223 | + | 14.9565i | 2.70266 | + | 0.476553i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −2.84286 | − | 13.4576i | −0.0904893 | − | 0.428361i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −40.7455 | − | 23.5244i | −1.29563 | − | 0.748033i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 19.4627 | + | 33.7104i | 0.618254 | + | 1.07085i | 0.989804 | + | 0.142434i | \(0.0454930\pi\) |
−0.371550 | + | 0.928413i | \(0.621174\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 43.6047 | + | 26.0202i | 1.38375 | + | 0.825727i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 33.1279 | + | 91.0180i | 1.05022 | + | 2.88547i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 20.6186 | − | 3.63561i | 0.652997 | − | 0.115141i | 0.162672 | − | 0.986680i | \(-0.447989\pi\) |
0.490326 | + | 0.871539i | \(0.336878\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −23.7376 | + | 12.3689i | −0.751024 | + | 0.391335i |
(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 | 756.2.bx.a.41.2 | ✓ | 144 | |
7.6 | odd | 2 | inner | 756.2.bx.a.41.23 | yes | 144 | |
27.2 | odd | 18 | inner | 756.2.bx.a.461.23 | yes | 144 | |
189.83 | even | 18 | inner | 756.2.bx.a.461.2 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.bx.a.41.2 | ✓ | 144 | 1.1 | even | 1 | trivial | |
756.2.bx.a.41.23 | yes | 144 | 7.6 | odd | 2 | inner | |
756.2.bx.a.461.2 | yes | 144 | 189.83 | even | 18 | inner | |
756.2.bx.a.461.23 | yes | 144 | 27.2 | odd | 18 | inner |