Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1008,2,Mod(193,1008)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1008, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 2, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1008.193");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1008 = 2^{4} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1008.t (of order \(3\), degree \(2\), not 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: | \(8.04892052375\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.309123.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 3x^{5} + 10x^{4} - 15x^{3} + 19x^{2} - 12x + 3 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 961.1 | ||
Root | \(0.500000 + 2.05195i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1008.961 |
Dual form | 1008.2.t.g.193.1 |
$q$-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 \(\left(\mathbb{Z}/1008\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(577\) | \(757\) | \(785\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 | ||||||||
\(3\) | −1.73025 | − | 0.0789082i | −0.998962 | − | 0.0455577i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.460505 | −0.205944 | −0.102972 | − | 0.994684i | \(-0.532835\pi\) | ||||
−0.102972 | + | 0.994684i | \(0.532835\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.25729 | + | 1.38008i | −0.853177 | + | 0.521621i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.98755 | + | 0.273062i | 0.995849 | + | 0.0910208i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.64766 | 1.09981 | 0.549906 | − | 0.835227i | \(-0.314664\pi\) | ||||
0.549906 | + | 0.835227i | \(0.314664\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.730252 | + | 1.26483i | 0.202536 | + | 0.350802i | 0.949345 | − | 0.314236i | \(-0.101748\pi\) |
−0.746809 | + | 0.665038i | \(0.768415\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.796790 | + | 0.0363376i | 0.205730 | + | 0.00938234i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −1.86693 | − | 3.23361i | −0.452796 | − | 0.784266i | 0.545763 | − | 0.837940i | \(-0.316240\pi\) |
−0.998558 | + | 0.0536743i | \(0.982907\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.02704 | − | 3.51094i | 0.465035 | − | 0.805465i | −0.534168 | − | 0.845378i | \(-0.679375\pi\) |
0.999203 | + | 0.0399136i | \(0.0127083\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 4.01459 | − | 2.20977i | 0.876055 | − | 0.482211i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.13307 | −0.236262 | −0.118131 | − | 0.992998i | \(-0.537690\pi\) | ||||
−0.118131 | + | 0.992998i | \(0.537690\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.78794 | −0.957587 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −5.14766 | − | 0.708209i | −0.990668 | − | 0.136295i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −4.48755 | + | 7.77266i | −0.833317 | + | 1.44335i | 0.0620772 | + | 0.998071i | \(0.480228\pi\) |
−0.895394 | + | 0.445275i | \(0.853106\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.257295 | + | 0.445647i | −0.0462115 | + | 0.0800406i | −0.888206 | − | 0.459446i | \(-0.848048\pi\) |
0.841994 | + | 0.539486i | \(0.181381\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −6.31138 | − | 0.287831i | −1.09867 | − | 0.0501049i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 1.03950 | − | 0.635534i | 0.175707 | − | 0.107425i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.55408 | + | 7.88791i | −0.748687 | + | 1.29676i | 0.199765 | + | 0.979844i | \(0.435982\pi\) |
−0.948452 | + | 0.316920i | \(0.897351\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −1.16372 | − | 2.24611i | −0.186344 | − | 0.359665i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −0.472958 | − | 0.819187i | −0.0738636 | − | 0.127936i | 0.826728 | − | 0.562602i | \(-0.190200\pi\) |
−0.900592 | + | 0.434666i | \(0.856866\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.66372 | + | 8.07779i | −0.711210 | + | 1.23185i | 0.253193 | + | 0.967416i | \(0.418519\pi\) |
−0.964403 | + | 0.264436i | \(0.914814\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.37578 | − | 0.125747i | −0.205089 | − | 0.0187452i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 1.16372 | + | 2.01561i | 0.169745 | + | 0.294007i | 0.938330 | − | 0.345740i | \(-0.112372\pi\) |
−0.768585 | + | 0.639748i | \(0.779039\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.19076 | − | 6.23049i | 0.455822 | − | 0.890071i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.97509 | + | 5.74228i | 0.416596 | + | 0.804080i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 6.21780 | + | 10.7695i | 0.854080 | + | 1.47931i | 0.877495 | + | 0.479585i | \(0.159213\pi\) |
−0.0234151 | + | 0.999726i | \(0.507454\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.67977 | −0.226500 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −3.78434 | + | 5.91486i | −0.501248 | + | 0.783443i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −6.44805 | + | 11.1684i | −0.839465 | + | 1.45400i | 0.0508779 | + | 0.998705i | \(0.483798\pi\) |
−0.890343 | + | 0.455291i | \(0.849535\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −6.04163 | − | 10.4644i | −0.773552 | − | 1.33983i | −0.935605 | − | 0.353049i | \(-0.885145\pi\) |
0.162053 | − | 0.986782i | \(-0.448188\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −7.12062 | + | 3.50667i | −0.897114 | + | 0.441799i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −0.336285 | − | 0.582462i | −0.0417110 | − | 0.0722456i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.16012 | + | 2.00938i | −0.141731 | + | 0.245485i | −0.928148 | − | 0.372210i | \(-0.878600\pi\) |
0.786418 | + | 0.617695i | \(0.211933\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 1.96050 | + | 0.0894089i | 0.236017 | + | 0.0107636i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.67977 | −0.199352 | −0.0996758 | − | 0.995020i | \(-0.531781\pi\) | ||||
−0.0996758 | + | 0.995020i | \(0.531781\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.62062 | − | 11.4673i | −0.774885 | − | 1.34214i | −0.934859 | − | 0.355019i | \(-0.884474\pi\) |
0.159974 | − | 0.987121i | \(-0.448859\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 8.28434 | + | 0.377808i | 0.956593 | + | 0.0436255i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −8.23385 | + | 5.03407i | −0.938334 | + | 0.573685i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.50360 | − | 4.33636i | −0.281677 | − | 0.487879i | 0.690121 | − | 0.723694i | \(-0.257557\pi\) |
−0.971798 | + | 0.235815i | \(0.924224\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 8.85087 | + | 1.63157i | 0.983430 | + | 0.181286i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −3.32383 | + | 5.75705i | −0.364838 | + | 0.631918i | −0.988750 | − | 0.149577i | \(-0.952209\pi\) |
0.623912 | + | 0.781494i | \(0.285542\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.859728 | + | 1.48909i | 0.0932506 | + | 0.161515i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 8.37792 | − | 13.0946i | 0.898207 | − | 1.40388i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −1.36333 | + | 2.36135i | −0.144512 | + | 0.250303i | −0.929191 | − | 0.369600i | \(-0.879495\pi\) |
0.784679 | + | 0.619903i | \(0.212828\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.39397 | − | 1.84730i | −0.355784 | − | 0.193649i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0.480350 | − | 0.750780i | 0.0498099 | − | 0.0778522i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −0.933463 | + | 1.61680i | −0.0957713 | + | 0.165881i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −5.59358 | + | 9.68836i | −0.567942 | + | 0.983704i | 0.428827 | + | 0.903386i | \(0.358927\pi\) |
−0.996769 | + | 0.0803178i | \(0.974406\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 10.8976 | + | 0.996040i | 1.09525 | + | 0.100106i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 13.7558 | 1.36876 | 0.684378 | − | 0.729127i | \(-0.260074\pi\) | ||||
0.684378 | + | 0.729127i | \(0.260074\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −11.1623 | −1.09985 | −0.549925 | − | 0.835214i | \(-0.685344\pi\) | ||||
−0.549925 | + | 0.835214i | \(0.685344\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −1.84874 | + | 1.01761i | −0.180418 | + | 0.0993085i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 3.89037 | − | 6.73832i | 0.376096 | − | 0.651418i | −0.614394 | − | 0.788999i | \(-0.710600\pi\) |
0.990490 | + | 0.137581i | \(0.0439329\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −3.75729 | − | 6.50783i | −0.359884 | − | 0.623337i | 0.628058 | − | 0.778167i | \(-0.283850\pi\) |
−0.987941 | + | 0.154830i | \(0.950517\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 8.50214 | − | 13.2887i | 0.806987 | − | 1.26131i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 3.03064 | + | 5.24922i | 0.285099 | + | 0.493805i | 0.972633 | − | 0.232346i | \(-0.0746403\pi\) |
−0.687534 | + | 0.726152i | \(0.741307\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.521786 | 0.0486568 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 1.83628 | + | 3.97816i | 0.169765 | + | 0.367781i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 8.67684 | + | 4.72270i | 0.795405 | + | 0.432929i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.30545 | 0.209586 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0.753696 | + | 1.45472i | 0.0679585 | + | 0.131168i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 4.50739 | 0.403153 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −8.80992 | −0.781754 | −0.390877 | − | 0.920443i | \(-0.627828\pi\) | ||||
−0.390877 | + | 0.920443i | \(0.627828\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 8.70681 | − | 13.6086i | 0.766592 | − | 1.19817i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −21.1373 | −1.84678 | −0.923389 | − | 0.383865i | \(-0.874593\pi\) | ||||
−0.923389 | + | 0.383865i | \(0.874593\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.269748 | + | 10.7227i | 0.0233901 | + | 0.929777i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 2.37052 | + | 0.326134i | 0.204022 | + | 0.0280691i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −4.40642 | −0.376466 | −0.188233 | − | 0.982124i | \(-0.560276\pi\) | ||||
−0.188233 | + | 0.982124i | \(0.560276\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.01245 | + | 1.75362i | 0.0858751 | + | 0.148740i | 0.905764 | − | 0.423783i | \(-0.139298\pi\) |
−0.819889 | + | 0.572523i | \(0.805965\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.85447 | − | 3.57935i | −0.156175 | − | 0.301435i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 2.66372 | + | 4.61369i | 0.222751 | + | 0.385816i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.06654 | − | 3.57935i | 0.171617 | − | 0.297249i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −6.01245 | + | 10.5286i | −0.495899 | + | 0.868380i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −9.16225 | −0.750601 | −0.375300 | − | 0.926903i | \(-0.622460\pi\) | ||||
−0.375300 | + | 0.926903i | \(0.622460\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.103896 | 0.00845496 | 0.00422748 | − | 0.999991i | \(-0.498654\pi\) | ||||
0.00422748 | + | 0.999991i | \(0.498654\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −4.69455 | − | 10.1703i | −0.379532 | − | 0.822224i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.118485 | − | 0.205223i | 0.00951698 | − | 0.0164839i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −10.4911 | + | 18.1712i | −0.837285 | + | 1.45022i | 0.0548721 | + | 0.998493i | \(0.482525\pi\) |
−0.892157 | + | 0.451726i | \(0.850808\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −9.90856 | − | 19.1247i | −0.785800 | − | 1.51668i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 2.55768 | − | 1.56373i | 0.201574 | − | 0.123239i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 11.5182 | − | 19.9501i | 0.902174 | − | 1.56261i | 0.0775078 | − | 0.996992i | \(-0.475304\pi\) |
0.824666 | − | 0.565620i | \(-0.191363\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 2.90642 | + | 0.132547i | 0.226265 | + | 0.0103188i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 5.31498 | + | 9.20581i | 0.411285 | + | 0.712367i | 0.995031 | − | 0.0995698i | \(-0.0317467\pi\) |
−0.583745 | + | 0.811937i | \(0.698413\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.43346 | − | 9.41103i | 0.417959 | − | 0.723926i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 7.01459 | − | 9.93559i | 0.536419 | − | 0.759793i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −1.46936 | − | 2.54500i | −0.111713 | − | 0.193493i | 0.804748 | − | 0.593617i | \(-0.202301\pi\) |
−0.916461 | + | 0.400124i | \(0.868967\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 10.8078 | − | 6.60773i | 0.816991 | − | 0.499498i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 12.0380 | − | 18.8153i | 0.904834 | − | 1.41424i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 4.58113 | + | 7.93474i | 0.342409 | + | 0.593071i | 0.984880 | − | 0.173240i | \(-0.0554237\pi\) |
−0.642470 | + | 0.766311i | \(0.722090\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 22.4284 | 1.66709 | 0.833545 | − | 0.552452i | \(-0.186308\pi\) | ||||
0.833545 | + | 0.552452i | \(0.186308\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 9.62782 | + | 18.5828i | 0.711709 | + | 1.37368i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 2.09718 | − | 3.63242i | 0.154188 | − | 0.267061i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −6.80992 | − | 11.7951i | −0.497990 | − | 0.862545i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 12.5972 | − | 5.50555i | 0.916310 | − | 0.400470i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 1.24484 | + | 2.15613i | 0.0900736 | + | 0.156012i | 0.907542 | − | 0.419962i | \(-0.137956\pi\) |
−0.817468 | + | 0.575974i | \(0.804623\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −2.24484 | + | 3.88818i | −0.161587 | + | 0.279877i | −0.935438 | − | 0.353491i | \(-0.884995\pi\) |
0.773851 | + | 0.633368i | \(0.218328\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0.535897 | + | 1.03434i | 0.0383763 | + | 0.0740708i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 12.7339 | 0.907249 | 0.453625 | − | 0.891193i | \(-0.350131\pi\) | ||||
0.453625 | + | 0.891193i | \(0.350131\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1.47296 | + | 2.55124i | 0.104415 | + | 0.180852i | 0.913499 | − | 0.406841i | \(-0.133370\pi\) |
−0.809084 | + | 0.587693i | \(0.800036\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 2.16585 | − | 3.38519i | 0.152767 | − | 0.238773i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −0.597178 | − | 23.7384i | −0.0419137 | − | 1.66611i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.217799 | + | 0.377240i | 0.0152118 | + | 0.0263476i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −3.38511 | − | 0.309400i | −0.235282 | − | 0.0215048i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 7.39397 | − | 12.8067i | 0.511451 | − | 0.885860i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.608168 | + | 1.05338i | 0.0418680 | + | 0.0725176i | 0.886200 | − | 0.463303i | \(-0.153336\pi\) |
−0.844332 | + | 0.535820i | \(0.820002\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 2.90642 | + | 0.132547i | 0.199145 | + | 0.00908200i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 2.14766 | − | 3.71986i | 0.146469 | − | 0.253693i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.0342393 | − | 1.36104i | −0.00232432 | − | 0.0923937i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 10.5505 | + | 20.3637i | 0.712936 | + | 1.37605i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 2.72665 | − | 4.72270i | 0.183415 | − | 0.317683i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 0.445916 | − | 0.772349i | 0.0298607 | − | 0.0517203i | −0.850709 | − | 0.525637i | \(-0.823827\pi\) |
0.880570 | + | 0.473917i | \(0.157160\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −14.3042 | − | 1.30740i | −0.953612 | − | 0.0871603i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 14.6519 | 0.972483 | 0.486242 | − | 0.873824i | \(-0.338368\pi\) | ||||
0.486242 | + | 0.873824i | \(0.338368\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −9.57587 | −0.632791 | −0.316396 | − | 0.948627i | \(-0.602473\pi\) | ||||
−0.316396 | + | 0.948627i | \(0.602473\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 14.6439 | − | 8.06049i | 0.963496 | − | 0.530341i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 7.21420 | − | 12.4954i | 0.472618 | − | 0.818598i | −0.526891 | − | 0.849933i | \(-0.676642\pi\) |
0.999509 | + | 0.0313345i | \(0.00997571\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.535897 | − | 0.928200i | −0.0349580 | − | 0.0605491i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 3.98968 | + | 7.70055i | 0.259158 | + | 0.500205i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 9.15486 | + | 15.8567i | 0.592179 | + | 1.02568i | 0.993938 | + | 0.109938i | \(0.0350654\pi\) |
−0.401760 | + | 0.915745i | \(0.631601\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.0933847 | 0.00601544 | 0.00300772 | − | 0.999995i | \(-0.499043\pi\) | ||||
0.00300772 | + | 0.999995i | \(0.499043\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −15.1855 | − | 3.52144i | −0.974150 | − | 0.225901i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −1.46936 | + | 2.86917i | −0.0938739 | + | 0.183305i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 5.92101 | 0.376745 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 6.20535 | − | 9.69886i | 0.393248 | − | 0.614641i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 18.2733 | 1.15340 | 0.576702 | − | 0.816955i | \(-0.304339\pi\) | ||||
0.576702 | + | 0.816955i | \(0.304339\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −4.13307 | −0.259844 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −1.37005 | − | 2.64435i | −0.0857956 | − | 0.165595i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −21.0512 | −1.31314 | −0.656568 | − | 0.754267i | \(-0.727992\pi\) | ||||
−0.656568 | + | 0.754267i | \(0.727992\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.606032 | − | 24.0903i | −0.0376570 | − | 1.49690i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −15.5292 | + | 21.9958i | −0.961232 | + | 1.36151i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 5.16518 | 0.318499 | 0.159249 | − | 0.987238i | \(-0.449093\pi\) | ||||
0.159249 | + | 0.987238i | \(0.449093\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −2.86333 | − | 4.95943i | −0.175893 | − | 0.304655i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 2.54523 | − | 3.97816i | 0.155766 | − | 0.243459i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 8.42840 | + | 14.5984i | 0.513889 | + | 0.890081i | 0.999870 | + | 0.0161123i | \(0.00512891\pi\) |
−0.485981 | + | 0.873969i | \(0.661538\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −12.5562 | + | 21.7480i | −0.762736 | + | 1.32110i | 0.178699 | + | 0.983904i | \(0.442811\pi\) |
−0.941435 | + | 0.337194i | \(0.890522\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 5.72665 | + | 3.46410i | 0.346593 | + | 0.209657i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −17.4648 | −1.05317 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 3.38151 | 0.203176 | 0.101588 | − | 0.994827i | \(-0.467608\pi\) | ||||
0.101588 | + | 0.994827i | \(0.467608\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −0.890369 | + | 1.26113i | −0.0533050 | + | 0.0755022i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −10.1388 | + | 17.5609i | −0.604831 | + | 1.04760i | 0.387248 | + | 0.921976i | \(0.373426\pi\) |
−0.992078 | + | 0.125622i | \(0.959907\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 8.67471 | − | 15.0250i | 0.515658 | − | 0.893145i | −0.484177 | − | 0.874970i | \(-0.660881\pi\) |
0.999835 | − | 0.0181754i | \(-0.00578571\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 1.74271 | − | 2.72382i | 0.103229 | − | 0.161345i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 2.19815 | + | 1.19643i | 0.129753 | + | 0.0706228i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 1.52918 | − | 2.64861i | 0.0899517 | − | 0.155801i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 10.4428 | − | 16.3219i | 0.612168 | − | 0.956809i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −4.93560 | − | 8.54871i | −0.288341 | − | 0.499421i | 0.685073 | − | 0.728474i | \(-0.259770\pi\) |
−0.973414 | + | 0.229054i | \(0.926437\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.96936 | − | 5.14308i | 0.172883 | − | 0.299442i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −18.7769 | − | 2.58331i | −1.08955 | − | 0.149899i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −0.827430 | − | 1.43315i | −0.0478515 | − | 0.0828813i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.620621 | − | 24.6703i | −0.0357720 | − | 1.42197i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −23.8011 | − | 1.08545i | −1.36734 | − | 0.0623574i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 2.78220 | + | 4.81891i | 0.159308 | + | 0.275930i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −7.78794 | −0.444481 | −0.222240 | − | 0.974992i | \(-0.571337\pi\) | ||||
−0.222240 | + | 0.974992i | \(0.571337\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 19.3135 | + | 0.880794i | 1.09871 | + | 0.0501066i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 7.70535 | − | 13.3461i | 0.436930 | − | 0.756785i | −0.560521 | − | 0.828140i | \(-0.689399\pi\) |
0.997451 | + | 0.0713552i | \(0.0227324\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −4.24844 | − | 7.35851i | −0.240136 | − | 0.415928i | 0.720617 | − | 0.693334i | \(-0.243859\pi\) |
−0.960753 | + | 0.277406i | \(0.910525\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 3.27908 | − | 1.61484i | 0.184755 | − | 0.0909859i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 7.05262 | + | 12.2155i | 0.396115 | + | 0.686091i | 0.993243 | − | 0.116055i | \(-0.0370249\pi\) |
−0.597128 | + | 0.802146i | \(0.703692\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −16.3691 | + | 28.3520i | −0.916491 | + | 1.58741i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −7.26303 | + | 11.3520i | −0.405383 | + | 0.633607i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −15.1373 | −0.842264 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −3.49640 | − | 6.05594i | −0.193945 | − | 0.335923i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 5.98755 | + | 11.5567i | 0.331112 | + | 0.639085i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −5.40856 | − | 2.94381i | −0.298183 | − | 0.162298i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 13.7719 | + | 23.8536i | 0.756971 | + | 1.31111i | 0.944388 | + | 0.328832i | \(0.106655\pi\) |
−0.187417 | + | 0.982280i | \(0.560012\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −15.7594 | + | 22.3219i | −0.863611 | + | 1.22323i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 0.534239 | − | 0.925330i | 0.0291886 | − | 0.0505562i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.748440 | + | 1.29634i | 0.0407701 | + | 0.0706159i | 0.885690 | − | 0.464276i | \(-0.153686\pi\) |
−0.844920 | + | 0.534892i | \(0.820352\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −4.82957 | − | 9.32162i | −0.262306 | − | 0.506281i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −0.938524 | + | 1.62557i | −0.0508239 | + | 0.0880296i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 1.39610 | + | 18.4676i | 0.0753825 | + | 0.997155i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −0.902822 | − | 0.0411732i | −0.0486063 | − | 0.00221669i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −9.14406 | + | 15.8380i | −0.490879 | + | 0.850228i | −0.999945 | − | 0.0105001i | \(-0.996658\pi\) |
0.509066 | + | 0.860728i | \(0.329991\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −3.90136 | + | 6.75735i | −0.208835 | + | 0.361713i | −0.951348 | − | 0.308119i | \(-0.900300\pi\) |
0.742513 | + | 0.669832i | \(0.233634\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −2.86333 | − | 7.02811i | −0.152833 | − | 0.375133i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 26.9253 | 1.43309 | 0.716544 | − | 0.697542i | \(-0.245723\pi\) | ||||
0.716544 | + | 0.697542i | \(0.245723\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.773541 | 0.0410553 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −14.6405 | − | 8.85614i | −0.774856 | − | 0.468717i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 3.13161 | − | 5.42411i | 0.165280 | − | 0.286274i | −0.771475 | − | 0.636260i | \(-0.780481\pi\) |
0.936755 | + | 0.349987i | \(0.113814\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1.28220 | + | 2.22084i | 0.0674842 | + | 0.116886i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −3.98901 | − | 0.181919i | −0.209369 | − | 0.00954827i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 3.04883 | + | 5.28073i | 0.159583 | + | 0.276406i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −29.2733 | −1.52806 | −0.764028 | − | 0.645183i | \(-0.776781\pi\) | ||||
−0.764028 | + | 0.645183i | \(0.776781\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −1.18929 | − | 2.57651i | −0.0619122 | − | 0.134128i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −28.8982 | − | 15.7290i | −1.50032 | − | 0.816608i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 17.8597 | 0.924742 | 0.462371 | − | 0.886687i | \(-0.346999\pi\) | ||||
0.462371 | + | 0.886687i | \(0.346999\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −7.79893 | − | 0.355670i | −0.402735 | − | 0.0183667i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −13.1082 | −0.675105 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 22.4255 | 1.15192 | 0.575960 | − | 0.817478i | \(-0.304629\pi\) | ||||
0.575960 | + | 0.817478i | \(0.304629\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 15.2434 | + | 0.695175i | 0.780942 | + | 0.0356149i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 14.1403 | 0.722534 | 0.361267 | − | 0.932462i | \(-0.382344\pi\) | ||||
0.361267 | + | 0.932462i | \(0.382344\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 3.79173 | − | 2.31821i | 0.193244 | − | 0.118147i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −16.1388 | + | 22.8593i | −0.820382 | + | 1.16200i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −23.1301 | −1.17275 | −0.586373 | − | 0.810041i | \(-0.699445\pi\) | ||||
−0.586373 | + | 0.810041i | \(0.699445\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.11537 | + | 3.66392i | 0.106979 | + | 0.185292i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 36.5729 | + | 1.66791i | 1.84486 | + | 0.0841350i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 1.15292 | + | 1.99691i | 0.0580097 | + | 0.100476i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −5.13307 | + | 8.89075i | −0.257622 | + | 0.446214i | −0.965604 | − | 0.260016i | \(-0.916272\pi\) |
0.707983 | + | 0.706230i | \(0.249605\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0.379379 | − | 18.5743i | 0.0189927 | − | 0.929877i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 34.0335 | 1.69955 | 0.849775 | − | 0.527146i | \(-0.176738\pi\) | ||||
0.849775 | + | 0.527146i | \(0.176738\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.751560 | −0.0374379 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −4.07587 | − | 0.751347i | −0.202532 | − | 0.0373348i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −16.6118 | + | 28.7724i | −0.823415 | + | 1.42620i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 1.74484 | − | 3.02215i | 0.0862769 | − | 0.149436i | −0.819658 | − | 0.572854i | \(-0.805836\pi\) |
0.905935 | + | 0.423418i | \(0.139170\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 7.62422 | + | 0.347703i | 0.376075 | + | 0.0171509i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −0.858071 | − | 34.1091i | −0.0422229 | − | 1.67840i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.53064 | − | 2.65115i | 0.0751362 | − | 0.130140i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −1.61342 | − | 3.11410i | −0.0790097 | − | 0.152498i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −14.4897 | − | 25.0969i | −0.707867 | − | 1.22606i | −0.965647 | − | 0.259858i | \(-0.916324\pi\) |
0.257779 | − | 0.966204i | \(-0.417009\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.06128 | + | 1.83819i | −0.0517237 | + | 0.0895881i | −0.890728 | − | 0.454537i | \(-0.849805\pi\) |
0.839004 | + | 0.544125i | \(0.183138\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 2.92627 | + | 6.33951i | 0.142280 | + | 0.308237i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 8.93872 | + | 15.4823i | 0.433592 | + | 0.751003i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 28.0795 | + | 15.2833i | 1.35886 | + | 0.739612i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −4.24484 | − | 8.19304i | −0.204943 | − | 0.395564i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −10.9356 | − | 18.9410i | −0.526749 | − | 0.912356i | −0.999514 | − | 0.0311679i | \(-0.990077\pi\) |
0.472765 | − | 0.881189i | \(-0.343256\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −13.0512 | −0.627199 | −0.313599 | − | 0.949555i | \(-0.601535\pi\) | ||||
−0.313599 | + | 0.949555i | \(0.601535\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −3.85807 | + | 6.03011i | −0.184980 | + | 0.289122i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −2.29679 | + | 3.97816i | −0.109870 | + | 0.190301i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 2.43200 | + | 4.21235i | 0.116073 | + | 0.201044i | 0.918208 | − | 0.396098i | \(-0.129636\pi\) |
−0.802135 | + | 0.597143i | \(0.796303\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 11.2339 | − | 17.7426i | 0.534945 | − | 0.844887i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −5.76975 | − | 9.99350i | −0.274129 | − | 0.474805i | 0.695786 | − | 0.718249i | \(-0.255056\pi\) |
−0.969915 | + | 0.243444i | \(0.921723\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.627819 | − | 1.08741i | 0.0297615 | − | 0.0515484i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 15.8530 | + | 0.722977i | 0.749822 | + | 0.0341957i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −26.4251 | −1.24708 | −0.623538 | − | 0.781793i | \(-0.714306\pi\) | ||||
−0.623538 | + | 0.781793i | \(0.714306\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.72519 | − | 2.98812i | −0.0812361 | − | 0.140705i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −0.179767 | − | 0.00819828i | −0.00844618 | − | 0.000385189i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 1.56294 | + | 0.850689i | 0.0732717 | + | 0.0398809i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.86906 | + | 3.23731i | 0.0874310 | + | 0.151435i | 0.906425 | − | 0.422368i | \(-0.138801\pi\) |
−0.818994 | + | 0.573803i | \(0.805468\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 7.32023 | + | 17.9677i | 0.341679 | + | 0.838661i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −7.90496 | + | 13.6918i | −0.368171 | + | 0.637690i | −0.989280 | − | 0.146034i | \(-0.953349\pi\) |
0.621109 | + | 0.783724i | \(0.286682\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −19.1965 | − | 33.2493i | −0.892137 | − | 1.54523i | −0.837309 | − | 0.546730i | \(-0.815872\pi\) |
−0.0548278 | − | 0.998496i | \(-0.517461\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −0.221203 | + | 0.345738i | −0.0102581 | + | 0.0160332i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −3.15652 | + | 5.46725i | −0.146066 | + | 0.252994i | −0.929770 | − | 0.368140i | \(-0.879995\pi\) |
0.783704 | + | 0.621134i | \(0.213328\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.154382 | − | 6.13682i | −0.00712869 | − | 0.283372i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 19.5862 | − | 30.6129i | 0.902484 | − | 1.41057i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −17.0117 | + | 29.4651i | −0.782197 | + | 1.35481i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −9.70535 | + | 16.8102i | −0.445312 | + | 0.771303i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 15.6352 | + | 33.8724i | 0.715887 | + | 1.55091i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 20.4136 | 0.932722 | 0.466361 | − | 0.884594i | \(-0.345565\pi\) | ||||
0.466361 | + | 0.884594i | \(0.345565\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −13.3025 | −0.606543 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −4.54883 | + | 2.50383i | −0.206979 | + | 0.113928i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 2.57587 | − | 4.46154i | 0.116964 | − | 0.202588i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −6.18190 | − | 10.7074i | −0.280129 | − | 0.485197i | 0.691287 | − | 0.722580i | \(-0.257044\pi\) |
−0.971416 | + | 0.237383i | \(0.923710\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −21.5036 | + | 33.6098i | −0.972426 | + | 1.51989i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −0.207004 | − | 0.358541i | −0.00934194 | − | 0.0161807i | 0.861317 | − | 0.508069i | \(-0.169640\pi\) |
−0.870659 | + | 0.491888i | \(0.836307\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 33.5117 | 1.50929 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −5.01838 | − | 0.458681i | −0.225560 | − | 0.0206162i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 3.79173 | − | 2.31821i | 0.170082 | − | 0.103986i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 0.923935 | 0.0413610 | 0.0206805 | − | 0.999786i | \(-0.493417\pi\) | ||||
0.0206805 | + | 0.999786i | \(0.493417\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −8.46984 | − | 16.3478i | −0.378404 | − | 0.730365i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 23.8142 | 1.06182 | 0.530911 | − | 0.847428i | \(-0.321850\pi\) | ||||
0.530911 | + | 0.847428i | \(0.321850\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −6.33463 | −0.281887 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −10.1439 | + | 15.8547i | −0.450505 | + | 0.704133i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −30.6342 | −1.35784 | −0.678919 | − | 0.734213i | \(-0.737551\pi\) | ||||
−0.678919 | + | 0.734213i | \(0.737551\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 30.7704 | + | 16.7480i | 1.36120 | + | 0.740887i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −12.9210 | + | 16.6376i | −0.570477 | + | 0.734567i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 5.14027 | 0.226507 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 4.24484 | + | 7.35228i | 0.186688 | + | 0.323353i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 2.34154 | + | 4.51945i | 0.102782 | + | 0.198382i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −13.4518 | − | 23.2993i | −0.589336 | − | 1.02076i | −0.994320 | − | 0.106436i | \(-0.966056\pi\) |
0.404984 | − | 0.914324i | \(-0.367277\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 7.85301 | − | 13.6018i | 0.343388 | − | 0.594766i | −0.641671 | − | 0.766980i | \(-0.721759\pi\) |
0.985060 | + | 0.172214i | \(0.0550920\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −19.2216 | + | 10.5802i | −0.838899 | + | 0.461759i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 1.92140 | 0.0836975 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −21.7161 | −0.944180 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −22.3135 | + | 31.6053i | −0.968324 | + | 1.37155i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0.690757 | − | 1.19643i | 0.0299200 | − | 0.0518230i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.79153 | + | 3.10303i | −0.0774548 | + | 0.134156i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −7.30039 | − | 14.0906i | −0.315035 | − | 0.608054i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 11.6388 | − | 22.7267i | 0.501319 | − | 0.978910i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −2.05934 | + | 3.56688i | −0.0885379 | + | 0.153352i | −0.906893 | − | 0.421360i | \(-0.861553\pi\) |
0.818355 | + | 0.574713i | \(0.194886\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −38.8068 | − | 1.76979i | −1.66536 | − | 0.0759488i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 1.73025 | + | 2.99689i | 0.0741159 | + | 0.128372i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 11.8602 | − | 20.5425i | 0.507106 | − | 0.878333i | −0.492860 | − | 0.870108i | \(-0.664049\pi\) |
0.999966 | − | 0.00822465i | \(-0.00261802\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −15.1922 | − | 32.9127i | −0.648388 | − | 1.40468i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 18.1929 | + | 31.5110i | 0.775043 | + | 1.34241i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 11.6359 | + | 6.33327i | 0.494808 | + | 0.269318i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −3.91528 | + | 6.11952i | −0.166194 | + | 0.259759i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −21.0313 | − | 36.4273i | −0.891125 | − | 1.54347i | −0.838528 | − | 0.544859i | \(-0.816583\pi\) |
−0.0525975 | − | 0.998616i | \(-0.516750\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −13.6228 | −0.576181 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 10.8521 | + | 20.9459i | 0.458178 | + | 0.884336i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 5.91216 | − | 10.2402i | 0.249168 | − | 0.431571i | −0.714127 | − | 0.700016i | \(-0.753176\pi\) |
0.963295 | + | 0.268445i | \(0.0865097\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.39562 | − | 2.41729i | −0.0587144 | − | 0.101696i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −22.2307 | + | 8.53197i | −0.933603 | + | 0.358309i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −7.10078 | − | 12.2989i | −0.297680 | − | 0.515597i | 0.677925 | − | 0.735131i | \(-0.262880\pi\) |
−0.975605 | + | 0.219534i | \(0.929546\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 5.97869 | − | 10.3554i | 0.250200 | − | 0.433360i | −0.713380 | − | 0.700777i | \(-0.752837\pi\) |
0.963581 | + | 0.267417i | \(0.0861701\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −1.98375 | − | 3.82888i | −0.0828725 | − | 0.159954i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 5.42509 | 0.226242 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 21.3135 | + | 36.9161i | 0.887293 | + | 1.53684i | 0.843062 | + | 0.537816i | \(0.180750\pi\) |
0.0442307 | + | 0.999021i | \(0.485916\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 4.19095 | − | 6.55040i | 0.174170 | − | 0.272225i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −0.442317 | − | 17.5825i | −0.0183504 | − | 0.729445i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 22.6804 | + | 39.2837i | 0.939328 | + | 1.62696i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −0.845618 | − | 1.83196i | −0.0349620 | − | 0.0757422i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −20.5328 | + | 35.5638i | −0.847478 | + | 1.46788i | 0.0359730 | + | 0.999353i | \(0.488547\pi\) |
−0.883451 | + | 0.468523i | \(0.844786\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1.04309 | + | 1.80669i | 0.0429799 | + | 0.0744434i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −22.0328 | − | 1.00481i | −0.906307 | − | 0.0413322i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 16.1008 | − | 27.8874i | 0.661180 | − | 1.14520i | −0.319126 | − | 0.947712i | \(-0.603389\pi\) |
0.980306 | − | 0.197485i | \(-0.0632772\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −3.99573 | − | 2.17483i | −0.163809 | − | 0.0891592i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −2.34728 | − | 4.53051i | −0.0960676 | − | 0.185422i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 9.53590 | − | 16.5167i | 0.389626 | − | 0.674852i | −0.602773 | − | 0.797913i | \(-0.705938\pi\) |
0.992399 | + | 0.123060i | \(0.0392709\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 4.27188 | − | 7.39912i | 0.174254 | − | 0.301816i | −0.765649 | − | 0.643259i | \(-0.777582\pi\) |
0.939903 | + | 0.341442i | \(0.110915\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −4.01459 | + | 5.68634i | −0.163487 | + | 0.231565i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −1.06167 | −0.0431631 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −38.0115 | −1.54284 | −0.771419 | − | 0.636328i | \(-0.780453\pi\) | ||||
−0.771419 | + | 0.636328i | \(0.780453\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −0.839883 | + | 41.1205i | −0.0340338 | + | 1.66629i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −1.69961 | + | 2.94381i | −0.0687589 | + | 0.119094i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 11.3296 | + | 19.6234i | 0.457597 | + | 0.792581i | 0.998833 | − | 0.0482894i | \(-0.0153770\pi\) |
−0.541237 | + | 0.840870i | \(0.682044\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −0.347081 | − | 0.669906i | −0.0139956 | − | 0.0270132i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −10.1388 | − | 17.5609i | −0.408173 | − | 0.706977i | 0.586512 | − | 0.809941i | \(-0.300501\pi\) |
−0.994685 | + | 0.102964i | \(0.967167\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −2.06128 | −0.0828499 | −0.0414249 | − | 0.999142i | \(-0.513190\pi\) | ||||
−0.0414249 | + | 0.999142i | \(0.513190\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 5.83269 | + | 0.802453i | 0.234058 | + | 0.0322013i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −0.181424 | − | 7.21177i | −0.00726860 | − | 0.288933i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 21.8640 | 0.874560 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −13.8040 | + | 21.5754i | −0.551278 | + | 0.861640i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 34.0085 | 1.35601 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −1.63715 | −0.0651740 | −0.0325870 | − | 0.999469i | \(-0.510375\pi\) | ||||
−0.0325870 | + | 0.999469i | \(0.510375\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −0.969165 | − | 1.87060i | −0.0385208 | − | 0.0743497i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 4.05701 | 0.160998 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 10.2106 | − | 0.514055i | 0.404559 | − | 0.0203676i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −5.01838 | − | 0.458681i | −0.198524 | − | 0.0181451i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 21.9325 | 0.866281 | 0.433140 | − | 0.901326i | \(-0.357405\pi\) | ||||
0.433140 | + | 0.901326i | \(0.357405\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 14.1819 | + | 24.5638i | 0.559280 | + | 0.968701i | 0.997557 | + | 0.0698609i | \(0.0222555\pi\) |
−0.438277 | + | 0.898840i | \(0.644411\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −4.00953 | + | 6.26683i | −0.157875 | + | 0.246756i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −17.3904 | − | 30.1210i | −0.683686 | − | 1.18418i | −0.973848 | − | 0.227201i | \(-0.927042\pi\) |
0.290162 | − | 0.956978i | \(-0.406291\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −23.5203 | + | 40.7384i | −0.923253 | + | 1.59912i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.0481549 | + | 2.35765i | −0.00188734 | + | 0.0924037i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −3.19863 | −0.125172 | −0.0625860 | − | 0.998040i | \(-0.519935\pi\) | ||||
−0.0625860 | + | 0.998040i | \(0.519935\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 9.73385 | 0.380333 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −16.6481 | − | 36.0668i | −0.649506 | − | 1.40710i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −5.30418 | + | 9.18711i | −0.206622 | + | 0.357879i | −0.950648 | − | 0.310271i | \(-0.899580\pi\) |
0.744027 | + | 0.668150i | \(0.232914\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −5.06507 | + | 8.77297i | −0.197009 | + | 0.341229i | −0.947557 | − | 0.319586i | \(-0.896456\pi\) |
0.750549 | + | 0.660815i | \(0.229789\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −5.09046 | + | 7.95631i | −0.197697 | + | 0.308998i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −0.124220 | − | 4.93786i | −0.00481705 | − | 0.191482i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 5.08472 | − | 8.80700i | 0.196881 | − | 0.341008i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −0.832492 | + | 1.30117i | −0.0321860 | + | 0.0503062i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −22.0378 | − | 38.1707i | −0.850761 | − | 1.47356i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 1.60817 | − | 2.78543i | 0.0619903 | − | 0.107370i | −0.833365 | − | 0.552724i | \(-0.813589\pi\) |
0.895355 | + | 0.445353i | \(0.146922\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 24.6467 | + | 3.39086i | 0.948651 | + | 0.130514i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 14.6819 | + | 25.4298i | 0.564271 | + | 0.977347i | 0.997117 | + | 0.0758786i | \(0.0241762\pi\) |
−0.432846 | + | 0.901468i | \(0.642491\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.744363 | − | 29.5891i | −0.0285660 | − | 1.13552i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −25.3515 | − | 1.15616i | −0.971473 | − | 0.0443041i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −12.6278 | − | 21.8720i | −0.483190 | − | 0.836910i | 0.516624 | − | 0.856213i | \(-0.327189\pi\) |
−0.999814 | + | 0.0193029i | \(0.993855\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 2.02918 | 0.0775309 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 16.5687 | + | 0.755615i | 0.632134 | + | 0.0288285i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −9.08113 | + | 15.7290i | −0.345963 | + | 0.599226i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −7.68190 | − | 13.3054i | −0.292233 | − | 0.506163i | 0.682104 | − | 0.731255i | \(-0.261065\pi\) |
−0.974338 | + | 0.225092i | \(0.927732\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −25.9736 | + | 12.7912i | −0.986657 | + | 0.485896i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −0.466240 | − | 0.807551i | −0.0176855 | − | 0.0306321i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1.76595 | + | 3.05872i | −0.0668903 | + | 0.115857i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −13.4684 | + | 21.0509i | −0.509421 | + | 0.796217i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −13.3700 | −0.504980 | −0.252490 | − | 0.967600i | \(-0.581249\pi\) | ||||
−0.252490 | + | 0.967600i | \(0.581249\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 18.4626 | + | 31.9782i | 0.696332 | + | 1.20608i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0.853994 | + | 1.64831i | 0.0321633 | + | 0.0620788i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −31.0510 | + | 18.9842i | −1.16779 | + | 0.713972i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 0.562939 | + | 0.975038i | 0.0211416 | + | 0.0366183i | 0.876403 | − | 0.481579i | \(-0.159937\pi\) |
−0.855261 | + | 0.518197i | \(0.826603\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −6.29552 | − | 13.6387i | −0.236101 | − | 0.511492i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 0.291534 | − | 0.504951i | 0.0109180 | − | 0.0189106i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.22665 | − | 2.12463i | −0.0458743 | − | 0.0794565i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −14.5890 | − | 28.1585i | −0.544836 | − | 1.05160i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −9.13667 | + | 15.8252i | −0.340740 | + | 0.590180i | −0.984570 | − | 0.174989i | \(-0.944011\pi\) |
0.643830 | + | 0.765169i | \(0.277344\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 25.1965 | − | 15.4048i | 0.938366 | − | 0.573705i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −0.161579 | − | 0.00736882i | −0.00600919 | − | 0.000274050i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 21.4861 | − | 37.2150i | 0.797973 | − | 1.38213i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 14.8478 | − | 25.7171i | 0.550673 | − | 0.953793i | −0.447553 | − | 0.894257i | \(-0.647705\pi\) |
0.998226 | − | 0.0595359i | \(-0.0189621\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 25.9969 | + | 7.29124i | 0.962847 | + | 0.270046i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 34.8272 | 1.28813 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 19.2278 | 0.710195 | 0.355098 | − | 0.934829i | \(-0.384448\pi\) | ||||
0.355098 | + | 0.934829i | \(0.384448\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 2.76876 | − | 4.84845i | 0.102127 | − | 0.178838i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −4.23171 | + | 7.32955i | −0.155877 | + | 0.269987i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 15.1336 | + | 26.2121i | 0.556697 | + | 0.964227i | 0.997769 | + | 0.0667556i | \(0.0212648\pi\) |
−0.441073 | + | 0.897471i | \(0.645402\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −10.2448 | − | 0.467216i | −0.376354 | − | 0.0171636i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 11.8815 | + | 20.5794i | 0.435890 | + | 0.754984i | 0.997368 | − | 0.0725076i | \(-0.0231002\pi\) |
−0.561477 | + | 0.827492i | \(0.689767\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 4.21926 | 0.154582 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −11.5021 | + | 16.2918i | −0.420841 | + | 0.596087i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0.517709 | + | 20.5794i | 0.0189167 | + | 0.751954i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −12.6683 | −0.462273 | −0.231136 | − | 0.972921i | \(-0.574244\pi\) | ||||
−0.231136 | + | 0.972921i | \(0.574244\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −31.6175 | − | 1.44192i | −1.15221 | − | 0.0525464i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −0.0478448 | −0.00174125 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −29.0799 | −1.05693 | −0.528464 | − | 0.848955i | \(-0.677232\pi\) | ||||
−0.528464 | + | 0.848955i | \(0.677232\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 7.15126 | + | 0.326134i | 0.259574 | + | 0.0118379i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 29.2029 | 1.05860 | 0.529302 | − | 0.848433i | \(-0.322454\pi\) | ||||
0.529302 | + | 0.848433i | \(0.322454\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 17.4626 | + | 9.50471i | 0.632190 | + | 0.344094i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 2.16186 | + | 4.68350i | 0.0781623 | + | 0.169332i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −18.8348 | −0.680086 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 12.5869 | + | 21.8011i | 0.453894 | + | 0.786167i | 0.998624 | − | 0.0524443i | \(-0.0167012\pi\) |
−0.544730 | + | 0.838611i | \(0.683368\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 36.4238 | + | 1.66111i | 1.31177 | + | 0.0598234i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −0.752039 | − | 1.30257i | −0.0270490 | − | 0.0468502i | 0.852184 | − | 0.523242i | \(-0.175278\pi\) |
−0.879233 | + | 0.476392i | \(0.841944\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1.23191 | − | 2.13373i | 0.0442515 | − | 0.0766458i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −0.852336 | + | 41.7302i | −0.0305774 | + | 1.49706i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −3.83482 | −0.137397 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −6.12722 | −0.219249 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 28.6050 | − | 36.8329i | 1.02226 | − | 1.31630i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 4.83122 | − | 8.36792i | 0.172434 | − | 0.298664i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −7.47656 | + | 12.9498i | −0.266510 | + | 0.461610i | −0.967958 | − | 0.251111i | \(-0.919204\pi\) |
0.701448 | + |