Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1134,2,Mod(647,1134)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1134, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1134.647");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1134 = 2 \cdot 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1134.k (of order \(6\), degree \(2\), 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: | \(9.05503558921\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 8 x^{15} + 52 x^{14} - 224 x^{13} + 796 x^{12} - 2228 x^{11} + 5254 x^{10} - 10232 x^{9} + \cdots + 225 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3^{4} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 647.2 | ||
Root | \(0.500000 - 0.911095i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1134.647 |
Dual form | 1134.2.k.c.971.2 |
$q$-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 \(\left(\mathbb{Z}/1134\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | + | 0.500000i | −0.612372 | + | 0.353553i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | 0.330211 | + | 0.571943i | 0.147675 | + | 0.255781i | 0.930368 | − | 0.366628i | \(-0.119488\pi\) |
−0.782693 | + | 0.622408i | \(0.786154\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.34953 | + | 1.21644i | −0.888037 | + | 0.459772i | ||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.571943 | − | 0.330211i | −0.180864 | − | 0.104422i | ||||
\(11\) | 2.25192 | + | 1.30015i | 0.678980 | + | 0.392009i | 0.799471 | − | 0.600705i | \(-0.205113\pi\) |
−0.120490 | + | 0.992714i | \(0.538447\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | − | 5.87410i | − | 1.62918i | −0.580035 | − | 0.814592i | \(-0.696961\pi\) | ||
0.580035 | − | 0.814592i | \(-0.303039\pi\) | |||||||
\(14\) | 1.42653 | − | 2.22823i | 0.381256 | − | 0.595520i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 2.35656 | − | 4.08169i | 0.571550 | − | 0.989954i | −0.424857 | − | 0.905261i | \(-0.639676\pi\) |
0.996407 | − | 0.0846936i | \(-0.0269912\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.59343 | + | 2.07467i | −0.824389 | + | 0.475961i | −0.851928 | − | 0.523659i | \(-0.824566\pi\) |
0.0275384 | + | 0.999621i | \(0.491233\pi\) | |||||||
\(20\) | 0.660423 | 0.147675 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.60030 | −0.554385 | ||||||||
\(23\) | 4.56456 | − | 2.63535i | 0.951776 | − | 0.549508i | 0.0581439 | − | 0.998308i | \(-0.481482\pi\) |
0.893632 | + | 0.448800i | \(0.148148\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.28192 | − | 3.95240i | 0.456384 | − | 0.790481i | ||||
\(26\) | 2.93705 | + | 5.08712i | 0.576003 | + | 0.997667i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.121294 | + | 2.64297i | −0.0229224 | + | 0.499474i | ||||
\(29\) | 7.43874i | 1.38134i | 0.723170 | + | 0.690670i | \(0.242684\pi\) | ||||
−0.723170 | + | 0.690670i | \(0.757316\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.73804 | − | 1.00346i | −0.312162 | − | 0.180227i | 0.335732 | − | 0.941958i | \(-0.391017\pi\) |
−0.647894 | + | 0.761731i | \(0.724350\pi\) | |||||||
\(32\) | 0.866025 | + | 0.500000i | 0.153093 | + | 0.0883883i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 4.71312i | 0.808294i | ||||||||
\(35\) | −1.47157 | − | 0.942112i | −0.248742 | − | 0.159246i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.17112 | + | 5.49254i | 0.521329 | + | 0.902968i | 0.999692 | + | 0.0248059i | \(0.00789677\pi\) |
−0.478364 | + | 0.878162i | \(0.658770\pi\) | |||||||
\(38\) | 2.07467 | − | 3.59343i | 0.336556 | − | 0.582931i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.571943 | + | 0.330211i | −0.0904321 | + | 0.0522110i | ||||
\(41\) | 7.90306 | 1.23425 | 0.617126 | − | 0.786865i | \(-0.288297\pi\) | ||||
0.617126 | + | 0.786865i | \(0.288297\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.66007 | −0.405656 | −0.202828 | − | 0.979214i | \(-0.565013\pi\) | ||||
−0.202828 | + | 0.979214i | \(0.565013\pi\) | |||||||
\(44\) | 2.25192 | − | 1.30015i | 0.339490 | − | 0.196005i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.63535 | + | 4.56456i | −0.388561 | + | 0.673007i | ||||
\(47\) | 0.874572 | + | 1.51480i | 0.127569 | + | 0.220957i | 0.922734 | − | 0.385436i | \(-0.125949\pi\) |
−0.795165 | + | 0.606393i | \(0.792616\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.04054 | − | 5.71612i | 0.577220 | − | 0.816588i | ||||
\(50\) | 4.56384i | 0.645425i | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −5.08712 | − | 2.93705i | −0.705457 | − | 0.407296i | ||||
\(53\) | 7.83672 | + | 4.52454i | 1.07646 | + | 0.621493i | 0.929938 | − | 0.367715i | \(-0.119860\pi\) |
0.146519 | + | 0.989208i | \(0.453193\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.71730i | 0.231560i | ||||||||
\(56\) | −1.21644 | − | 2.34953i | −0.162554 | − | 0.313969i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −3.71937 | − | 6.44214i | −0.488377 | − | 0.845894i | ||||
\(59\) | −0.111972 | + | 0.193941i | −0.0145775 | + | 0.0252490i | −0.873222 | − | 0.487322i | \(-0.837974\pi\) |
0.858645 | + | 0.512571i | \(0.171307\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 7.78008 | − | 4.49183i | 0.996137 | − | 0.575120i | 0.0890340 | − | 0.996029i | \(-0.471622\pi\) |
0.907103 | + | 0.420909i | \(0.138289\pi\) | |||||||
\(62\) | 2.00692 | 0.254879 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 3.35965 | − | 1.93970i | 0.416714 | − | 0.240590i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.67037 | − | 9.82137i | 0.692746 | − | 1.19987i | −0.278189 | − | 0.960526i | \(-0.589734\pi\) |
0.970935 | − | 0.239345i | \(-0.0769326\pi\) | |||||||
\(68\) | −2.35656 | − | 4.08169i | −0.285775 | − | 0.494977i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.74548 | + | 0.0801053i | 0.208624 | + | 0.00957442i | ||||
\(71\) | − | 3.89426i | − | 0.462163i | −0.972934 | − | 0.231082i | \(-0.925774\pi\) | ||
0.972934 | − | 0.231082i | \(-0.0742265\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −3.46836 | − | 2.00246i | −0.405940 | − | 0.234370i | 0.283104 | − | 0.959089i | \(-0.408636\pi\) |
−0.689044 | + | 0.724720i | \(0.741969\pi\) | |||||||
\(74\) | −5.49254 | − | 3.17112i | −0.638495 | − | 0.368635i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 4.14934i | 0.475961i | ||||||||
\(77\) | −6.87250 | − | 0.315400i | −0.783195 | − | 0.0359432i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 5.08602 | + | 8.80925i | 0.572222 | + | 0.991118i | 0.996337 | + | 0.0855099i | \(0.0272519\pi\) |
−0.424115 | + | 0.905608i | \(0.639415\pi\) | |||||||
\(80\) | 0.330211 | − | 0.571943i | 0.0369188 | − | 0.0639452i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −6.84425 | + | 3.95153i | −0.755821 | + | 0.436374i | ||||
\(83\) | 12.2888 | 1.34887 | 0.674437 | − | 0.738332i | \(-0.264386\pi\) | ||||
0.674437 | + | 0.738332i | \(0.264386\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.11265 | 0.337615 | ||||||||
\(86\) | 2.30369 | − | 1.33003i | 0.248413 | − | 0.143421i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.30015 | + | 2.25192i | −0.138596 | + | 0.240056i | ||||
\(89\) | −7.52627 | − | 13.0359i | −0.797783 | − | 1.38180i | −0.921057 | − | 0.389428i | \(-0.872673\pi\) |
0.123274 | − | 0.992373i | \(-0.460660\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 7.14550 | + | 13.8014i | 0.749052 | + | 1.44678i | ||||
\(92\) | − | 5.27070i | − | 0.549508i | ||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −1.51480 | − | 0.874572i | −0.156240 | − | 0.0902052i | ||||
\(95\) | −2.37318 | − | 1.37016i | −0.243483 | − | 0.140575i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 4.33520i | 0.440173i | 0.975480 | + | 0.220087i | \(0.0706340\pi\) | ||||
−0.975480 | + | 0.220087i | \(0.929366\pi\) | |||||||
\(98\) | −0.641153 | + | 6.97058i | −0.0647662 | + | 0.704134i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.28192 | − | 3.95240i | −0.228192 | − | 0.395240i | ||||
\(101\) | 2.53783 | − | 4.39565i | 0.252523 | − | 0.437384i | −0.711696 | − | 0.702487i | \(-0.752073\pi\) |
0.964220 | + | 0.265104i | \(0.0854062\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.48292 | − | 1.43352i | 0.244649 | − | 0.141248i | −0.372662 | − | 0.927967i | \(-0.621555\pi\) |
0.617312 | + | 0.786719i | \(0.288222\pi\) | |||||||
\(104\) | 5.87410 | 0.576003 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −9.04907 | −0.878923 | ||||||||
\(107\) | −8.49932 | + | 4.90709i | −0.821660 | + | 0.474386i | −0.850989 | − | 0.525184i | \(-0.823997\pi\) |
0.0293282 | + | 0.999570i | \(0.490663\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 3.84454 | − | 6.65893i | 0.368240 | − | 0.637810i | −0.621051 | − | 0.783770i | \(-0.713294\pi\) |
0.989290 | + | 0.145961i | \(0.0466272\pi\) | |||||||
\(110\) | −0.858648 | − | 1.48722i | −0.0818688 | − | 0.141801i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 2.22823 | + | 1.42653i | 0.210548 | + | 0.134794i | ||||
\(113\) | 0.544483i | 0.0512207i | 0.999672 | + | 0.0256103i | \(0.00815291\pi\) | ||||
−0.999672 | + | 0.0256103i | \(0.991847\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 3.01454 | + | 1.74044i | 0.281107 | + | 0.162297i | ||||
\(116\) | 6.44214 | + | 3.71937i | 0.598138 | + | 0.345335i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 0.223944i | − | 0.0206157i | ||||||
\(119\) | −0.571674 | + | 12.4566i | −0.0524052 | + | 1.14190i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.11923 | − | 3.67061i | −0.192657 | − | 0.333692i | ||||
\(122\) | −4.49183 | + | 7.78008i | −0.406671 | + | 0.704375i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −1.73804 | + | 1.00346i | −0.156081 | + | 0.0901134i | ||||
\(125\) | 6.31618 | 0.564936 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 19.4512 | 1.72602 | 0.863009 | − | 0.505189i | \(-0.168577\pi\) | ||||
0.863009 | + | 0.505189i | \(0.168577\pi\) | |||||||
\(128\) | 0.866025 | − | 0.500000i | 0.0765466 | − | 0.0441942i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.93970 | + | 3.35965i | −0.170123 | + | 0.294661i | ||||
\(131\) | 8.35965 | + | 14.4793i | 0.730386 | + | 1.26507i | 0.956718 | + | 0.291016i | \(0.0939932\pi\) |
−0.226332 | + | 0.974050i | \(0.572673\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 5.91915 | − | 9.24568i | 0.513255 | − | 0.801702i | ||||
\(134\) | 11.3407i | 0.979691i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 4.08169 | + | 2.35656i | 0.350002 | + | 0.202074i | ||||
\(137\) | 2.72325 | + | 1.57227i | 0.232663 | + | 0.134328i | 0.611800 | − | 0.791013i | \(-0.290446\pi\) |
−0.379137 | + | 0.925340i | \(0.623779\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 16.8214i | 1.42677i | 0.700771 | + | 0.713386i | \(0.252840\pi\) | ||||
−0.700771 | + | 0.713386i | \(0.747160\pi\) | |||||||
\(140\) | −1.55168 | + | 0.803365i | −0.131141 | + | 0.0678968i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 1.94713 | + | 3.37253i | 0.163399 | + | 0.283016i | ||||
\(143\) | 7.63721 | − | 13.2280i | 0.638655 | − | 1.10618i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −4.25453 | + | 2.45636i | −0.353320 | + | 0.203989i | ||||
\(146\) | 4.00491 | 0.331449 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 6.34224 | 0.521329 | ||||||||
\(149\) | −18.0015 | + | 10.3931i | −1.47474 | + | 0.851439i | −0.999595 | − | 0.0284697i | \(-0.990937\pi\) |
−0.475142 | + | 0.879909i | \(0.657603\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 4.71396 | − | 8.16482i | 0.383617 | − | 0.664443i | −0.607960 | − | 0.793968i | \(-0.708012\pi\) |
0.991576 | + | 0.129525i | \(0.0413451\pi\) | |||||||
\(152\) | −2.07467 | − | 3.59343i | −0.168278 | − | 0.291466i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 6.10946 | − | 3.16311i | 0.492315 | − | 0.254890i | ||||
\(155\) | − | 1.32542i | − | 0.106460i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 4.00571 | + | 2.31270i | 0.319690 | + | 0.184573i | 0.651254 | − | 0.758859i | \(-0.274243\pi\) |
−0.331564 | + | 0.943433i | \(0.607576\pi\) | |||||||
\(158\) | −8.80925 | − | 5.08602i | −0.700826 | − | 0.404622i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.660423i | 0.0522110i | ||||||||
\(161\) | −7.51880 | + | 11.7443i | −0.592564 | + | 0.925583i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −5.76907 | − | 9.99233i | −0.451869 | − | 0.782659i | 0.546634 | − | 0.837372i | \(-0.315909\pi\) |
−0.998502 | + | 0.0547126i | \(0.982576\pi\) | |||||||
\(164\) | 3.95153 | − | 6.84425i | 0.308563 | − | 0.534446i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −10.6424 | + | 6.14441i | −0.826013 | + | 0.476899i | ||||
\(167\) | 19.0063 | 1.47076 | 0.735378 | − | 0.677658i | \(-0.237005\pi\) | ||||
0.735378 | + | 0.677658i | \(0.237005\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −21.5051 | −1.65424 | ||||||||
\(170\) | −2.69564 | + | 1.55633i | −0.206746 | + | 0.119365i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1.33003 | + | 2.30369i | −0.101414 | + | 0.175654i | ||||
\(173\) | −4.78911 | − | 8.29499i | −0.364110 | − | 0.630656i | 0.624523 | − | 0.781006i | \(-0.285293\pi\) |
−0.988633 | + | 0.150350i | \(0.951960\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.553567 | + | 12.0621i | −0.0418457 | + | 0.911809i | ||||
\(176\) | − | 2.60030i | − | 0.196005i | ||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 13.0359 | + | 7.52627i | 0.977080 | + | 0.564118i | ||||
\(179\) | −17.6588 | − | 10.1953i | −1.31988 | − | 0.762032i | −0.336170 | − | 0.941801i | \(-0.609132\pi\) |
−0.983709 | + | 0.179769i | \(0.942465\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 23.9866i | − | 1.78291i | −0.453107 | − | 0.891456i | \(-0.649684\pi\) | ||
0.453107 | − | 0.891456i | \(-0.350316\pi\) | |||||||
\(182\) | −13.0889 | − | 8.37958i | −0.970211 | − | 0.621136i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 2.63535 | + | 4.56456i | 0.194280 | + | 0.336504i | ||||
\(185\) | −2.09428 | + | 3.62740i | −0.153974 | + | 0.266692i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 10.6136 | − | 6.12776i | 0.776143 | − | 0.448106i | ||||
\(188\) | 1.74914 | 0.127569 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 2.74032 | 0.198803 | ||||||||
\(191\) | −4.94699 | + | 2.85615i | −0.357952 | + | 0.206664i | −0.668182 | − | 0.743998i | \(-0.732927\pi\) |
0.310230 | + | 0.950661i | \(0.399594\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.691202 | + | 1.19720i | −0.0497538 | + | 0.0861761i | −0.889830 | − | 0.456293i | \(-0.849177\pi\) |
0.840076 | + | 0.542469i | \(0.182510\pi\) | |||||||
\(194\) | −2.16760 | − | 3.75439i | −0.155625 | − | 0.269550i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2.93003 | − | 6.35727i | −0.209288 | − | 0.454091i | ||||
\(197\) | 5.94533i | 0.423587i | 0.977314 | + | 0.211794i | \(0.0679305\pi\) | ||||
−0.977314 | + | 0.211794i | \(0.932069\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −16.1647 | − | 9.33269i | −1.14588 | − | 0.661577i | −0.198003 | − | 0.980201i | \(-0.563446\pi\) |
−0.947881 | + | 0.318625i | \(0.896779\pi\) | |||||||
\(200\) | 3.95240 | + | 2.28192i | 0.279477 | + | 0.161356i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 5.07566i | 0.357122i | ||||||||
\(203\) | −9.04879 | − | 17.4775i | −0.635101 | − | 1.22668i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.60968 | + | 4.52010i | 0.182268 | + | 0.315698i | ||||
\(206\) | −1.43352 | + | 2.48292i | −0.0998777 | + | 0.172993i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −5.08712 | + | 2.93705i | −0.352729 | + | 0.203648i | ||||
\(209\) | −10.7895 | −0.746326 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −8.17368 | −0.562699 | −0.281350 | − | 0.959605i | \(-0.590782\pi\) | ||||
−0.281350 | + | 0.959605i | \(0.590782\pi\) | |||||||
\(212\) | 7.83672 | − | 4.52454i | 0.538228 | − | 0.310746i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 4.90709 | − | 8.49932i | 0.335441 | − | 0.581002i | ||||
\(215\) | −0.878384 | − | 1.52141i | −0.0599053 | − | 0.103759i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 5.30423 | + | 0.243427i | 0.360075 | + | 0.0165249i | ||||
\(218\) | 7.68907i | 0.520770i | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 1.48722 | + | 0.858648i | 0.100268 | + | 0.0578900i | ||||
\(221\) | −23.9762 | − | 13.8427i | −1.61282 | − | 0.931160i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 27.1394i | 1.81739i | 0.417462 | + | 0.908695i | \(0.362920\pi\) | ||||
−0.417462 | + | 0.908695i | \(0.637080\pi\) | |||||||
\(224\) | −2.64297 | − | 0.121294i | −0.176591 | − | 0.00810430i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −0.272242 | − | 0.471536i | −0.0181092 | − | 0.0313661i | ||||
\(227\) | −6.29665 | + | 10.9061i | −0.417924 | + | 0.723865i | −0.995730 | − | 0.0923086i | \(-0.970575\pi\) |
0.577807 | + | 0.816174i | \(0.303909\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −1.22382 | + | 0.706571i | −0.0808721 | + | 0.0466916i | −0.539891 | − | 0.841735i | \(-0.681534\pi\) |
0.459019 | + | 0.888427i | \(0.348201\pi\) | |||||||
\(230\) | −3.48089 | −0.229523 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −7.43874 | −0.488377 | ||||||||
\(233\) | 15.5393 | − | 8.97160i | 1.01801 | − | 0.587749i | 0.104484 | − | 0.994527i | \(-0.466681\pi\) |
0.913527 | + | 0.406777i | \(0.133348\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.577587 | + | 1.00041i | −0.0376776 | + | 0.0652596i | ||||
\(236\) | 0.111972 | + | 0.193941i | 0.00728875 | + | 0.0126245i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −5.73324 | − | 11.0736i | −0.371631 | − | 0.717795i | ||||
\(239\) | 25.6164i | 1.65699i | 0.559997 | + | 0.828494i | \(0.310802\pi\) | ||||
−0.559997 | + | 0.828494i | \(0.689198\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −10.5993 | − | 6.11953i | −0.682764 | − | 0.394194i | 0.118132 | − | 0.992998i | \(-0.462309\pi\) |
−0.800896 | + | 0.598804i | \(0.795643\pi\) | |||||||
\(242\) | 3.67061 | + | 2.11923i | 0.235956 | + | 0.136229i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 8.98366i | − | 0.575120i | ||||||
\(245\) | 4.60353 | + | 0.423432i | 0.294109 | + | 0.0270521i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 12.1868 | + | 21.1082i | 0.775428 | + | 1.34308i | ||||
\(248\) | 1.00346 | − | 1.73804i | 0.0637198 | − | 0.110366i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −5.46997 | + | 3.15809i | −0.345951 | + | 0.199735i | ||||
\(251\) | −22.2877 | −1.40679 | −0.703394 | − | 0.710800i | \(-0.748333\pi\) | ||||
−0.703394 | + | 0.710800i | \(0.748333\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 13.7054 | 0.861650 | ||||||||
\(254\) | −16.8453 | + | 9.72561i | −1.05697 | + | 0.610239i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −14.1946 | − | 24.5858i | −0.885436 | − | 1.53362i | −0.845213 | − | 0.534429i | \(-0.820527\pi\) |
−0.0402224 | − | 0.999191i | \(-0.512807\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −14.1320 | − | 9.04738i | −0.878118 | − | 0.562177i | ||||
\(260\) | − | 3.87939i | − | 0.240590i | ||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −14.4793 | − | 8.35965i | −0.894537 | − | 0.516461i | ||||
\(263\) | −24.1449 | − | 13.9401i | −1.48884 | − | 0.859582i | −0.488921 | − | 0.872328i | \(-0.662609\pi\) |
−0.999919 | + | 0.0127465i | \(0.995943\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 5.97621i | 0.367116i | ||||||||
\(266\) | −0.503290 | + | 10.9666i | −0.0308587 | + | 0.672403i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −5.67037 | − | 9.82137i | −0.346373 | − | 0.599936i | ||||
\(269\) | 3.06694 | − | 5.31209i | 0.186995 | − | 0.323884i | −0.757252 | − | 0.653123i | \(-0.773459\pi\) |
0.944247 | + | 0.329238i | \(0.106792\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.98593 | + | 1.72393i | −0.181382 | + | 0.104721i | −0.587942 | − | 0.808903i | \(-0.700062\pi\) |
0.406560 | + | 0.913624i | \(0.366728\pi\) | |||||||
\(272\) | −4.71312 | −0.285775 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3.14453 | −0.189968 | ||||||||
\(275\) | 10.2774 | − | 5.93367i | 0.619752 | − | 0.357814i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 6.71559 | − | 11.6317i | 0.403501 | − | 0.698884i | −0.590645 | − | 0.806931i | \(-0.701127\pi\) |
0.994146 | + | 0.108048i | \(0.0344600\pi\) | |||||||
\(278\) | −8.41070 | − | 14.5678i | −0.504440 | − | 0.873716i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.942112 | − | 1.47157i | 0.0563020 | − | 0.0879434i | ||||
\(281\) | 26.4653i | 1.57879i | 0.613889 | + | 0.789393i | \(0.289604\pi\) | ||||
−0.613889 | + | 0.789393i | \(0.710396\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −6.64541 | − | 3.83673i | −0.395029 | − | 0.228070i | 0.289308 | − | 0.957236i | \(-0.406575\pi\) |
−0.684337 | + | 0.729166i | \(0.739908\pi\) | |||||||
\(284\) | −3.37253 | − | 1.94713i | −0.200123 | − | 0.115541i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 15.2744i | 0.903195i | ||||||||
\(287\) | −18.5685 | + | 9.61361i | −1.09606 | + | 0.567474i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −2.60677 | − | 4.51506i | −0.153340 | − | 0.265592i | ||||
\(290\) | 2.45636 | − | 4.25453i | 0.144242 | − | 0.249835i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −3.46836 | + | 2.00246i | −0.202970 | + | 0.117185i | ||||
\(293\) | 3.32948 | 0.194511 | 0.0972553 | − | 0.995259i | \(-0.468994\pi\) | ||||
0.0972553 | + | 0.995259i | \(0.468994\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.147898 | −0.00861093 | ||||||||
\(296\) | −5.49254 | + | 3.17112i | −0.319247 | + | 0.184318i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 10.3931 | − | 18.0015i | 0.602059 | − | 1.04280i | ||||
\(299\) | −15.4803 | − | 26.8127i | −0.895250 | − | 1.55062i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 6.24990 | − | 3.23581i | 0.360238 | − | 0.186509i | ||||
\(302\) | 9.42792i | 0.542516i | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 3.59343 | + | 2.07467i | 0.206097 | + | 0.118990i | ||||
\(305\) | 5.13814 | + | 2.96651i | 0.294209 | + | 0.169862i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 18.5385i | − | 1.05805i | −0.848607 | − | 0.529024i | \(-0.822558\pi\) | ||
0.848607 | − | 0.529024i | \(-0.177442\pi\) | |||||||
\(308\) | −3.70940 | + | 5.79406i | −0.211363 | + | 0.330147i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.662708 | + | 1.14784i | 0.0376393 | + | 0.0651932i | ||||
\(311\) | 10.7758 | − | 18.6642i | 0.611039 | − | 1.05835i | −0.380026 | − | 0.924976i | \(-0.624085\pi\) |
0.991066 | − | 0.133376i | \(-0.0425816\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 23.5767 | − | 13.6120i | 1.33263 | − | 0.769396i | 0.346930 | − | 0.937891i | \(-0.387224\pi\) |
0.985702 | + | 0.168496i | \(0.0538909\pi\) | |||||||
\(314\) | −4.62539 | −0.261026 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 10.1720 | 0.572222 | ||||||||
\(317\) | 19.4249 | − | 11.2149i | 1.09101 | − | 0.629894i | 0.157164 | − | 0.987573i | \(-0.449765\pi\) |
0.933845 | + | 0.357678i | \(0.116432\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −9.67147 | + | 16.7515i | −0.541498 | + | 0.937902i | ||||
\(320\) | −0.330211 | − | 0.571943i | −0.0184594 | − | 0.0319726i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.639304 | − | 13.9303i | 0.0356270 | − | 0.776305i | ||||
\(323\) | 19.5563i | 1.08814i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −23.2168 | − | 13.4042i | −1.28784 | − | 0.743533i | ||||
\(326\) | 9.99233 | + | 5.76907i | 0.553424 | + | 0.319519i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 7.90306i | 0.436374i | ||||||||
\(329\) | −3.89750 | − | 2.49520i | −0.214876 | − | 0.137565i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.46420 | − | 2.53608i | −0.0804799 | − | 0.139395i | 0.822976 | − | 0.568076i | \(-0.192312\pi\) |
−0.903456 | + | 0.428680i | \(0.858979\pi\) | |||||||
\(332\) | 6.14441 | − | 10.6424i | 0.337219 | − | 0.584080i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −16.4600 | + | 9.50317i | −0.900650 | + | 0.519991i | ||||
\(335\) | 7.48968 | 0.409205 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −24.8418 | −1.35322 | −0.676610 | − | 0.736341i | \(-0.736552\pi\) | ||||
−0.676610 | + | 0.736341i | \(0.736552\pi\) | |||||||
\(338\) | 18.6240 | − | 10.7525i | 1.01301 | − | 0.584862i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 1.55633 | − | 2.69564i | 0.0844037 | − | 0.146192i | ||||
\(341\) | −2.60929 | − | 4.51943i | −0.141301 | − | 0.244741i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −2.54004 | + | 18.3453i | −0.137149 | + | 0.990550i | ||||
\(344\) | − | 2.66007i | − | 0.143421i | ||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 8.29499 | + | 4.78911i | 0.445941 | + | 0.257464i | ||||
\(347\) | 13.4947 | + | 7.79117i | 0.724433 | + | 0.418252i | 0.816382 | − | 0.577512i | \(-0.195976\pi\) |
−0.0919490 | + | 0.995764i | \(0.529310\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 16.1238i | 0.863085i | 0.902093 | + | 0.431542i | \(0.142030\pi\) | ||||
−0.902093 | + | 0.431542i | \(0.857970\pi\) | |||||||
\(350\) | −5.55164 | − | 10.7229i | −0.296748 | − | 0.573161i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.30015 | + | 2.25192i | 0.0692981 | + | 0.120028i | ||||
\(353\) | −10.9701 | + | 19.0008i | −0.583880 | + | 1.01131i | 0.411134 | + | 0.911575i | \(0.365133\pi\) |
−0.995014 | + | 0.0997345i | \(0.968201\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 2.22729 | − | 1.28593i | 0.118212 | − | 0.0682500i | ||||
\(356\) | −15.0525 | −0.797783 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 20.3906 | 1.07768 | ||||||||
\(359\) | −9.77938 | + | 5.64613i | −0.516136 | + | 0.297991i | −0.735352 | − | 0.677685i | \(-0.762983\pi\) |
0.219216 | + | 0.975676i | \(0.429650\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −0.891506 | + | 1.54413i | −0.0469214 | + | 0.0812702i | ||||
\(362\) | 11.9933 | + | 20.7730i | 0.630355 | + | 1.09181i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 15.5251 | + | 0.712494i | 0.813735 | + | 0.0373448i | ||||
\(365\) | − | 2.64493i | − | 0.138442i | ||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −10.7901 | − | 6.22965i | −0.563237 | − | 0.325185i | 0.191207 | − | 0.981550i | \(-0.438760\pi\) |
−0.754444 | + | 0.656365i | \(0.772093\pi\) | |||||||
\(368\) | −4.56456 | − | 2.63535i | −0.237944 | − | 0.137377i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | − | 4.18856i | − | 0.217753i | ||||||
\(371\) | −23.9164 | − | 1.09760i | −1.24168 | − | 0.0569844i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 9.19719 | + | 15.9300i | 0.476212 | + | 0.824824i | 0.999629 | − | 0.0272532i | \(-0.00867605\pi\) |
−0.523416 | + | 0.852077i | \(0.675343\pi\) | |||||||
\(374\) | −6.12776 | + | 10.6136i | −0.316859 | + | 0.548816i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.51480 | + | 0.874572i | −0.0781200 | + | 0.0451026i | ||||
\(377\) | 43.6959 | 2.25046 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −0.285278 | −0.0146538 | −0.00732688 | − | 0.999973i | \(-0.502332\pi\) | ||||
−0.00732688 | + | 0.999973i | \(0.502332\pi\) | |||||||
\(380\) | −2.37318 | + | 1.37016i | −0.121742 | + | 0.0702876i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 2.85615 | − | 4.94699i | 0.146133 | − | 0.253110i | ||||
\(383\) | −1.39732 | − | 2.42022i | −0.0713996 | − | 0.123668i | 0.828115 | − | 0.560558i | \(-0.189413\pi\) |
−0.899515 | + | 0.436890i | \(0.856080\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −2.08899 | − | 4.03483i | −0.106465 | − | 0.205634i | ||||
\(386\) | − | 1.38240i | − | 0.0703625i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 3.75439 | + | 2.16760i | 0.190601 | + | 0.110043i | ||||
\(389\) | 6.71856 | + | 3.87896i | 0.340645 | + | 0.196671i | 0.660557 | − | 0.750776i | \(-0.270320\pi\) |
−0.319912 | + | 0.947447i | \(0.603653\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 24.8415i | − | 1.25629i | ||||||
\(392\) | 5.71612 | + | 4.04054i | 0.288708 | + | 0.204078i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −2.97267 | − | 5.14881i | −0.149761 | − | 0.259393i | ||||
\(395\) | −3.35893 | + | 5.81783i | −0.169006 | + | 0.292727i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.00629 | − | 2.89038i | 0.251258 | − | 0.145064i | −0.369082 | − | 0.929397i | \(-0.620328\pi\) |
0.620340 | + | 0.784333i | \(0.286995\pi\) | |||||||
\(398\) | 18.6654 | 0.935611 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.56384 | −0.228192 | ||||||||
\(401\) | −11.8154 | + | 6.82164i | −0.590034 | + | 0.340656i | −0.765111 | − | 0.643898i | \(-0.777316\pi\) |
0.175077 | + | 0.984555i | \(0.443983\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −5.89443 | + | 10.2095i | −0.293623 | + | 0.508569i | ||||
\(404\) | −2.53783 | − | 4.39565i | −0.126262 | − | 0.218692i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 16.5752 | + | 10.6116i | 0.822615 | + | 0.526644i | ||||
\(407\) | 16.4917i | 0.817463i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −25.3625 | − | 14.6431i | −1.25410 | − | 0.724053i | −0.282176 | − | 0.959363i | \(-0.591056\pi\) |
−0.971921 | + | 0.235309i | \(0.924390\pi\) | |||||||
\(410\) | −4.52010 | − | 2.60968i | −0.223232 | − | 0.128883i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | − | 2.86703i | − | 0.141248i | ||||||
\(413\) | 0.0271630 | − | 0.591876i | 0.00133661 | − | 0.0291243i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 4.05791 | + | 7.02851i | 0.199195 | + | 0.345016i | ||||
\(416\) | 2.93705 | − | 5.08712i | 0.144001 | − | 0.249417i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 9.34398 | − | 5.39475i | 0.457029 | − | 0.263866i | ||||
\(419\) | 20.8178 | 1.01702 | 0.508509 | − | 0.861057i | \(-0.330197\pi\) | ||||
0.508509 | + | 0.861057i | \(0.330197\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −38.3993 | −1.87147 | −0.935734 | − | 0.352707i | \(-0.885261\pi\) | ||||
−0.935734 | + | 0.352707i | \(0.885261\pi\) | |||||||
\(422\) | 7.07862 | − | 4.08684i | 0.344582 | − | 0.198944i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −4.52454 | + | 7.83672i | −0.219731 | + | 0.380585i | ||||
\(425\) | −10.7550 | − | 18.6282i | −0.521693 | − | 0.903599i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −12.8154 | + | 20.0177i | −0.620183 | + | 0.968723i | ||||
\(428\) | 9.81417i | 0.474386i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 1.52141 | + | 0.878384i | 0.0733687 | + | 0.0423595i | ||||
\(431\) | 17.2706 | + | 9.97120i | 0.831897 | + | 0.480296i | 0.854502 | − | 0.519448i | \(-0.173863\pi\) |
−0.0226047 | + | 0.999744i | \(0.507196\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 28.2196i | − | 1.35615i | −0.734993 | − | 0.678075i | \(-0.762815\pi\) | ||
0.734993 | − | 0.678075i | \(-0.237185\pi\) | |||||||
\(434\) | −4.71531 | + | 2.44130i | −0.226342 | + | 0.117186i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −3.84454 | − | 6.65893i | −0.184120 | − | 0.318905i | ||||
\(437\) | −10.9349 | + | 18.9399i | −0.523089 | + | 0.906017i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −7.91077 | + | 4.56728i | −0.377560 | + | 0.217985i | −0.676756 | − | 0.736207i | \(-0.736615\pi\) |
0.299196 | + | 0.954192i | \(0.403282\pi\) | |||||||
\(440\) | −1.71730 | −0.0818688 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 27.6854 | 1.31686 | ||||||||
\(443\) | 29.2751 | − | 16.9020i | 1.39090 | − | 0.803037i | 0.397486 | − | 0.917608i | \(-0.369883\pi\) |
0.993415 | + | 0.114571i | \(0.0365495\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 4.97052 | − | 8.60919i | 0.235625 | − | 0.408115i | ||||
\(446\) | −13.5697 | − | 23.5034i | −0.642544 | − | 1.11292i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 2.34953 | − | 1.21644i | 0.111005 | − | 0.0574714i | ||||
\(449\) | 27.0131i | 1.27483i | 0.770522 | + | 0.637413i | \(0.219995\pi\) | ||||
−0.770522 | + | 0.637413i | \(0.780005\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 17.7971 | + | 10.2752i | 0.838032 | + | 0.483838i | ||||
\(452\) | 0.471536 | + | 0.272242i | 0.0221792 | + | 0.0128052i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | − | 12.5933i | − | 0.591033i | ||||||
\(455\) | −5.53406 | + | 8.64418i | −0.259441 | + | 0.405246i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.70305 | + | 2.94976i | 0.0796651 | + | 0.137984i | 0.903105 | − | 0.429419i | \(-0.141282\pi\) |
−0.823440 | + | 0.567403i | \(0.807948\pi\) | |||||||
\(458\) | 0.706571 | − | 1.22382i | 0.0330159 | − | 0.0571852i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 3.01454 | − | 1.74044i | 0.140554 | − | 0.0811486i | ||||
\(461\) | −1.67610 | −0.0780639 | −0.0390319 | − | 0.999238i | \(-0.512427\pi\) | ||||
−0.0390319 | + | 0.999238i | \(0.512427\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 16.4467 | 0.764341 | 0.382170 | − | 0.924092i | \(-0.375177\pi\) | ||||
0.382170 | + | 0.924092i | \(0.375177\pi\) | |||||||
\(464\) | 6.44214 | − | 3.71937i | 0.299069 | − | 0.172667i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −8.97160 | + | 15.5393i | −0.415601 | + | 0.719843i | ||||
\(467\) | −1.83112 | − | 3.17159i | −0.0847340 | − | 0.146764i | 0.820544 | − | 0.571584i | \(-0.193671\pi\) |
−0.905278 | + | 0.424820i | \(0.860337\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.37556 | + | 29.9732i | −0.0635176 | + | 1.38404i | ||||
\(470\) | − | 1.15517i | − | 0.0532842i | ||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −0.193941 | − | 0.111972i | −0.00892686 | − | 0.00515392i | ||||
\(473\) | −5.99027 | − | 3.45848i | −0.275433 | − | 0.159021i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 18.9369i | 0.868885i | ||||||||
\(476\) | 10.5019 | + | 6.72341i | 0.481355 | + | 0.308167i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −12.8082 | − | 22.1845i | −0.585834 | − | 1.01469i | ||||
\(479\) | 14.2133 | − | 24.6182i | 0.649422 | − | 1.12483i | −0.333839 | − | 0.942630i | \(-0.608344\pi\) |
0.983261 | − | 0.182202i | \(-0.0583225\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 32.2637 | − | 18.6275i | 1.47110 | − | 0.849340i | ||||
\(482\) | 12.2391 | 0.557474 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −4.23846 | −0.192657 | ||||||||
\(485\) | −2.47949 | + | 1.43153i | −0.112588 | + | 0.0650026i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −20.0702 | + | 34.7626i | −0.909467 | + | 1.57524i | −0.0946602 | + | 0.995510i | \(0.530176\pi\) |
−0.814807 | + | 0.579733i | \(0.803157\pi\) | |||||||
\(488\) | 4.49183 | + | 7.78008i | 0.203336 | + | 0.352188i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −4.19849 | + | 1.93506i | −0.189668 | + | 0.0874171i | ||||
\(491\) | 8.45892i | 0.381746i | 0.981615 | + | 0.190873i | \(0.0611318\pi\) | ||||
−0.981615 | + | 0.190873i | \(0.938868\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 30.3626 | + | 17.5299i | 1.36746 | + | 0.789505i | ||||
\(494\) | −21.1082 | − | 12.1868i | −0.949702 | − | 0.548311i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2.00692i | 0.0901134i | ||||||||
\(497\) | 4.73713 | + | 9.14966i | 0.212490 | + | 0.410418i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −5.74186 | − | 9.94519i | −0.257041 | − | 0.445208i | 0.708407 | − | 0.705804i | \(-0.249414\pi\) |
−0.965448 | + | 0.260596i | \(0.916081\pi\) | |||||||
\(500\) | 3.15809 | − | 5.46997i | 0.141234 | − | 0.244625i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 19.3017 | − | 11.1439i | 0.861478 | − | 0.497375i | ||||
\(503\) | 1.99804 | 0.0890883 | 0.0445441 | − | 0.999007i | \(-0.485816\pi\) | ||||
0.0445441 | + | 0.999007i | \(0.485816\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 3.35208 | 0.149166 | ||||||||
\(506\) | −11.8692 | + | 6.85269i | −0.527650 | + | 0.304639i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 9.72561 | − | 16.8453i | 0.431504 | − | 0.747387i | ||||
\(509\) | 15.9306 | + | 27.5926i | 0.706112 | + | 1.22302i | 0.966289 | + | 0.257461i | \(0.0828858\pi\) |
−0.260177 | + | 0.965561i | \(0.583781\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 10.5849 | + | 0.485772i | 0.468247 | + | 0.0214893i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 24.5858 | + | 14.1946i | 1.08443 | + | 0.626098i | ||||
\(515\) | 1.63978 | + | 0.946726i | 0.0722572 | + | 0.0417177i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 4.54829i | 0.200034i | ||||||||
\(518\) | 16.7623 | + | 0.769275i | 0.736495 | + | 0.0338000i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 1.93970 | + | 3.35965i | 0.0850613 | + | 0.147330i | ||||
\(521\) | 0.864274 | − | 1.49697i | 0.0378645 | − | 0.0655833i | −0.846472 | − | 0.532433i | \(-0.821278\pi\) |
0.884337 | + | 0.466850i | \(0.154611\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −38.4274 | + | 22.1861i | −1.68031 | + | 0.970130i | −0.718864 | + | 0.695151i | \(0.755338\pi\) |
−0.961450 | + | 0.274979i | \(0.911329\pi\) | |||||||
\(524\) | 16.7193 | 0.730386 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 27.8801 | 1.21563 | ||||||||
\(527\) | −8.19162 | + | 4.72943i | −0.356833 | + | 0.206017i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 2.39013 | − | 4.13982i | 0.103919 | − | 0.179992i | ||||
\(530\) | −2.98811 | − | 5.17555i | −0.129795 | − | 0.224812i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −5.04742 | − | 9.74897i | −0.218834 | − | 0.422672i | ||||
\(533\) | − | 46.4234i | − | 2.01082i | ||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −5.61315 | − | 3.24075i | −0.242677 | − | 0.140110i | ||||
\(536\) | 9.82137 | + | 5.67037i | 0.424219 | + | 0.244923i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 6.13388i | 0.264450i | ||||||||
\(539\) | 16.5308 | − | 7.61896i | 0.712032 | − | 0.328172i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 15.7052 | + | 27.2022i | 0.675220 | + | 1.16952i | 0.976404 | + | 0.215950i | \(0.0692848\pi\) |
−0.301184 | + | 0.953566i | \(0.597382\pi\) | |||||||
\(542\) | 1.72393 | − | 2.98593i | 0.0740490 | − | 0.128257i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 4.08169 | − | 2.35656i | 0.175001 | − | 0.101037i | ||||
\(545\) | 5.07804 | 0.217519 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −21.6668 | −0.926406 | −0.463203 | − | 0.886252i | \(-0.653300\pi\) | ||||
−0.463203 | + | 0.886252i | \(0.653300\pi\) | |||||||
\(548\) | 2.72325 | − | 1.57227i | 0.116331 | − | 0.0671639i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −5.93367 | + | 10.2774i | −0.253013 | + | 0.438231i | ||||
\(551\) | −15.4329 | − | 26.7306i | −0.657464 | − | 1.13876i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −22.6657 | − | 14.5107i | −0.963843 | − | 0.617058i | ||||
\(554\) | 13.4312i | 0.570636i | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 14.5678 | + | 8.41070i | 0.617811 | + | 0.356693i | ||||
\(557\) | 7.32110 | + | 4.22684i | 0.310205 | + | 0.179097i | 0.647018 | − | 0.762475i | \(-0.276016\pi\) |
−0.336813 | + | 0.941571i | \(0.609349\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 15.6255i | 0.660889i | ||||||||
\(560\) | −0.0801053 | + | 1.74548i | −0.00338507 | + | 0.0737599i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −13.2326 | − | 22.9196i | −0.558185 | − | 0.966805i | ||||
\(563\) | 19.9644 | − | 34.5794i | 0.841400 | − | 1.45735i | −0.0473118 | − | 0.998880i | \(-0.515065\pi\) |
0.888712 | − | 0.458467i | \(-0.151601\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.311413 | + | 0.179795i | −0.0131013 | + | 0.00756401i | ||||
\(566\) | 7.67346 | 0.322540 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 3.89426 | 0.163399 | ||||||||
\(569\) | 17.2519 | − | 9.96037i | 0.723236 | − | 0.417560i | −0.0927066 | − | 0.995693i | \(-0.529552\pi\) |
0.815943 | + | 0.578133i | \(0.196219\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 4.50381 | − | 7.80082i | 0.188478 | − | 0.326454i | −0.756265 | − | 0.654266i | \(-0.772978\pi\) |
0.944743 | + | 0.327812i | \(0.106311\pi\) | |||||||
\(572\) | −7.63721 | − | 13.2280i | −0.319328 | − | 0.553092i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 11.2739 | − | 17.6099i | 0.470565 | − | 0.735021i | ||||
\(575\) | − | 24.0546i | − | 1.00315i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −17.7359 | − | 10.2398i | −0.738355 | − | 0.426290i | 0.0831158 | − | 0.996540i | \(-0.473513\pi\) |
−0.821471 | + | 0.570250i | \(0.806846\pi\) | |||||||
\(578\) | 4.51506 | + | 2.60677i | 0.187802 | + | 0.108427i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 4.91271i | 0.203989i | ||||||||
\(581\) | −28.8729 | + | 14.9486i | −1.19785 | + | 0.620174i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 11.7651 | + | 20.3778i | 0.487262 | + | 0.843963i | ||||
\(584\) | 2.00246 | − | 3.46836i | 0.0828622 | − | 0.143522i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −2.88342 | + | 1.66474i | −0.119113 | + | 0.0687699i | ||||
\(587\) | 22.2964 | 0.920270 | 0.460135 | − | 0.887849i | \(-0.347801\pi\) | ||||
0.460135 | + | 0.887849i | \(0.347801\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 8.32739 | 0.343124 | ||||||||
\(590\) | 0.128083 | − | 0.0739488i | 0.00527310 | − | 0.00304442i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 3.17112 | − | 5.49254i | 0.130332 | − | 0.225742i | ||||
\(593\) | 18.9090 | + | 32.7513i | 0.776499 | + | 1.34494i | 0.933948 | + | 0.357409i | \(0.116340\pi\) |
−0.157449 | + | 0.987527i | \(0.550327\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −7.31326 | + | 3.78636i | −0.299815 | + | 0.155226i | ||||
\(596\) | 20.7863i | 0.851439i | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 26.8127 | + | 15.4803i | 1.09645 | + | 0.633037i | ||||
\(599\) | 5.73495 | + | 3.31107i | 0.234324 | + | 0.135287i | 0.612565 | − | 0.790420i | \(-0.290138\pi\) |
−0.378241 | + | 0.925707i | \(0.623471\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 29.5837i | − | 1.20674i | −0.797460 | − | 0.603372i | \(-0.793824\pi\) | ||
0.797460 | − | 0.603372i | \(-0.206176\pi\) | |||||||
\(602\) | −3.79466 | + | 5.92725i | −0.154659 | + | 0.241577i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −4.71396 | − | 8.16482i | −0.191808 | − | 0.332222i | ||||
\(605\) | 1.39959 | − | 2.42416i | 0.0569013 | − | 0.0985560i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −9.92423 | + | 5.72975i | −0.402812 | + | 0.232564i | −0.687697 | − | 0.725998i | \(-0.741378\pi\) |
0.284885 | + | 0.958562i | \(0.408045\pi\) | |||||||
\(608\) | −4.14934 | −0.168278 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −5.93301 | −0.240221 | ||||||||
\(611\) | 8.89811 | − | 5.13733i | 0.359979 | − | 0.207834i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −2.47537 | + | 4.28746i | −0.0999791 | + | 0.173169i | −0.911676 | − | 0.410910i | \(-0.865211\pi\) |
0.811697 | + | 0.584079i | \(0.198544\pi\) | |||||||
\(614\) | 9.26924 | + | 16.0548i | 0.374076 | + | 0.647919i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.315400 | − | 6.87250i | 0.0127078 | − | 0.276901i | ||||
\(617\) | − | 10.1338i | − | 0.407970i | −0.978974 | − | 0.203985i | \(-0.934611\pi\) | ||
0.978974 | − | 0.203985i | \(-0.0653893\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 22.1612 | + | 12.7948i | 0.890732 | + | 0.514264i | 0.874182 | − | 0.485599i | \(-0.161398\pi\) |
0.0165502 | + | 0.999863i | \(0.494732\pi\) | |||||||
\(620\) | −1.14784 | − | 0.662708i | −0.0460985 | − | 0.0266150i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 21.5516i | 0.864140i | ||||||||
\(623\) | 33.5405 | + | 21.4729i | 1.34377 | + | 0.860292i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −9.32393 | − | 16.1495i | −0.372957 | − | 0.645981i | ||||
\(626\) | −13.6120 | + | 23.5767i | −0.544045 | + | 0.942313i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 4.00571 | − | 2.31270i | 0.159845 | − | 0.0922866i | ||||
\(629\) | 29.8918 | 1.19186 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 38.6494 | 1.53861 | 0.769305 | − | 0.638882i | \(-0.220603\pi\) | ||||
0.769305 | + | 0.638882i | \(0.220603\pi\) | |||||||
\(632\) | −8.80925 | + | 5.08602i | −0.350413 | + | 0.202311i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −11.2149 | + | 19.4249i | −0.445403 | + | 0.771460i | ||||
\(635\) | 6.42302 | + | 11.1250i | 0.254890 | + | 0.441482i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −33.5771 | − | 23.7346i | −1.33037 | − | 0.940398i | ||||
\(638\) | − | 19.3429i | − | 0.765794i | ||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0.571943 | + | 0.330211i | 0.0226080 | + | 0.0130528i | ||||
\(641\) | −13.2162 | − | 7.63037i | −0.522008 | − | 0.301382i | 0.215748 | − | 0.976449i | \(-0.430781\pi\) |
−0.737756 | + | 0.675068i | \(0.764114\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 0.0876859i | 0.00345799i | 0.999999 | + | 0.00172900i | \(0.000550357\pi\) | ||||
−0.999999 | + | 0.00172900i | \(0.999450\pi\) | |||||||
\(644\) | 6.41149 | + | 12.3836i | 0.252648 | + | 0.487984i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −9.77817 | − | 16.9363i | −0.384717 | − | 0.666349i | ||||
\(647\) | −21.1405 | + | 36.6165i | −0.831121 | + | 1.43954i | 0.0660294 | + | 0.997818i | \(0.478967\pi\) |
−0.897150 | + | 0.441726i | \(0.854366\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.504304 | + | 0.291160i | −0.0197957 | + | 0.0114290i | ||||
\(650\) | 26.8085 | 1.05152 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −11.5381 | −0.451869 | ||||||||
\(653\) | 9.92733 | − | 5.73154i | 0.388486 | − | 0.224293i | −0.293018 | − | 0.956107i | \(-0.594660\pi\) |
0.681504 | + | 0.731814i | \(0.261326\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −5.52090 | + | 9.56249i | −0.215720 | + | 0.373637i | ||||
\(656\) | −3.95153 | − | 6.84425i | −0.154281 | − | 0.267223i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 4.62293 | + | 0.212161i | 0.180221 | + | 0.00827089i | ||||
\(659\) | 43.1305i | 1.68013i | 0.542489 | + | 0.840063i | \(0.317482\pi\) | ||||
−0.542489 | + | 0.840063i | \(0.682518\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1.81381 | − | 1.04720i | −0.0705491 | − | 0.0407315i | 0.464311 | − | 0.885672i | \(-0.346302\pi\) |
−0.534860 | + | 0.844941i | \(0.679636\pi\) | |||||||
\(662\) | 2.53608 | + | 1.46420i | 0.0985674 | + | 0.0569079i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 12.2888i | 0.476899i | ||||||||
\(665\) | 7.24257 | + | 0.332384i | 0.280855 | + | 0.0128893i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 19.6037 | + | 33.9546i | 0.759057 | + | 1.31473i | ||||
\(668\) | 9.50317 | − | 16.4600i | 0.367689 | − | 0.636856i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −6.48626 | + | 3.74484i | −0.250586 | + | 0.144676i | ||||
\(671\) | 23.3602 | 0.901810 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 8.86436 | 0.341696 | 0.170848 | − | 0.985297i | \(-0.445349\pi\) | ||||
0.170848 | + | 0.985297i | \(0.445349\pi\) | |||||||
\(674\) | 21.5137 | − | 12.4209i | 0.828675 | − | 0.478436i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −10.7525 | + | 18.6240i | −0.413560 | + | 0.716306i | ||||
\(677\) | −2.70881 | − | 4.69180i | −0.104108 | − | 0.180320i | 0.809265 | − | 0.587443i | \(-0.199865\pi\) |
−0.913373 | + | 0.407123i | \(0.866532\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −5.27352 | − | 10.1857i | −0.202379 | − | 0.390890i | ||||
\(680\) | 3.11265i | 0.119365i | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 4.51943 | + | 2.60929i | 0.173058 | + | 0.0999151i | ||||
\(683\) | −12.5852 | − | 7.26604i | −0.481558 | − | 0.278027i | 0.239508 | − | 0.970894i | \(-0.423014\pi\) |
−0.721065 | + | 0.692867i | \(0.756347\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 2.07672i | 0.0793475i | ||||||||
\(686\) | −6.97289 | − | 17.1575i | −0.266226 | − | 0.655075i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 1.33003 | + | 2.30369i | 0.0507071 | + | 0.0878272i | ||||
\(689\) | 26.5776 | − | 46.0337i | 1.01253 | − | 1.75375i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 3.28158 | − | 1.89462i | 0.124837 | − | 0.0720748i | −0.436281 | − | 0.899810i | \(-0.643705\pi\) |
0.561118 | + | 0.827736i | \(0.310371\pi\) | |||||||
\(692\) | −9.57823 | −0.364110 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −15.5823 | −0.591497 | ||||||||
\(695\) | −9.62088 | + | 5.55462i | −0.364941 | + | 0.210699i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 18.6241 | − | 32.2578i | 0.705437 | − | 1.22185i | ||||
\(698\) | −8.06188 | − | 13.9636i | −0.305147 | − | 0.528529i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 10.1693 | + | 6.51045i | 0.384363 | + | 0.246072i | ||||
\(701\) | 29.5523i | 1.11618i | 0.829782 | + | 0.558088i | \(0.188465\pi\) | ||||
−0.829782 | + | 0.558088i | \(0.811535\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −22.7904 | − | 13.1580i | −0.859556 | − | 0.496265i | ||||
\(704\) | −2.25192 | − | 1.30015i | −0.0848725 | − | 0.0490012i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | − | 21.9402i | − | 0.825730i | ||||||
\(707\) | −0.615647 | + | 13.4148i | −0.0231538 | + | 0.504516i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 2.27586 | + | 3.94191i | 0.0854718 | + | 0.148041i | 0.905592 | − | 0.424150i | \(-0.139427\pi\) |
−0.820120 | + | 0.572191i | \(0.806094\pi\) | |||||||
\(710\) | −1.28593 | + | 2.22729i | −0.0482600 | + | 0.0835888i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 13.0359 | − | 7.52627i | 0.488540 | − | 0.282059i | ||||
\(713\) | −10.5779 | −0.396144 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 10.0876 | 0.377254 | ||||||||
\(716\) | −17.6588 | + | 10.1953i | −0.659939 | + | 0.381016i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 5.64613 | − | 9.77938i | 0.210712 | − | 0.364963i | ||||
\(719\) | −14.0142 | − | 24.2733i | −0.522641 | − | 0.905240i | −0.999653 | − | 0.0263435i | \(-0.991614\pi\) |
0.477012 | − | 0.878897i | \(-0.341720\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −4.08990 | + | 6.38841i | −0.152316 | + | 0.237917i | ||||
\(722\) | − | 1.78301i | − | 0.0663568i | ||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −20.7730 | − | 11.9933i | −0.772024 | − | 0.445728i | ||||
\(725\) | 29.4009 | + | 16.9746i | 1.09192 | + | 0.630421i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 18.8842i | − | 0.700374i | −0.936680 | − | 0.350187i | \(-0.886118\pi\) | ||
0.936680 | − | 0.350187i | \(-0.113882\pi\) | |||||||
\(728\) | −13.8014 | + | 7.14550i | −0.511512 | + | 0.264830i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 1.32247 | + | 2.29058i | 0.0489467 | + | 0.0847782i | ||||
\(731\) | −6.26861 | + | 10.8576i | −0.231853 | + | 0.401581i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 8.25128 | − | 4.76388i | 0.304768 | − | 0.175958i | −0.339815 | − | 0.940492i | \(-0.610364\pi\) |
0.644583 | + | 0.764534i | \(0.277031\pi\) | |||||||
\(734\) | 12.4593 | 0.459881 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 5.27070 | 0.194280 | ||||||||
\(737\) | 25.5385 | − | 14.7446i | 0.940722 | − | 0.543126i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 4.87463 | − | 8.44311i | 0.179316 | − | 0.310585i | −0.762330 | − | 0.647188i | \(-0.775945\pi\) |
0.941647 | + | 0.336603i | \(0.109278\pi\) | |||||||
\(740\) | 2.09428 | + | 3.62740i | 0.0769872 | + | 0.133346i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 21.2610 | − | 11.0077i | 0.780517 | − | 0.404104i | ||||
\(743\) | − | 33.0765i | − | 1.21346i | −0.794908 | − | 0.606729i | \(-0.792481\pi\) | ||
0.794908 | − | 0.606729i | \(-0.207519\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −11.8886 | − | 6.86387i | −0.435563 | − | 0.251473i | ||||
\(746\) | −15.9300 | − | 9.19719i | −0.583239 | − | 0.336733i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | − | 12.2555i | − | 0.448106i | ||||||
\(749\) | 14.0002 | − | 21.8682i | 0.511556 | − | 0.799048i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 4.18103 | + | 7.24176i | 0.152568 | + | 0.264256i | 0.932171 | − | 0.362019i | \(-0.117912\pi\) |
−0.779603 | + | 0.626274i | \(0.784579\pi\) | |||||||
\(752\) | 0.874572 | − | 1.51480i | 0.0318924 | − | 0.0552392i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −37.8418 | + | 21.8480i | −1.37812 | + | 0.795656i | ||||
\(755\) | 6.22641 | 0.226602 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −18.1472 | −0.659572 | −0.329786 | − | 0.944056i | \(-0.606977\pi\) | ||||
−0.329786 | + | 0.944056i | \(0.606977\pi\) | |||||||
\(758\) | 0.247058 | − | 0.142639i | 0.00897356 | − | 0.00518089i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 1.37016 | − | 2.37318i | 0.0497009 | − | 0.0860844i | ||||
\(761\) | −4.08474 | − | 7.07498i | −0.148072 | − | 0.256468i | 0.782443 | − | 0.622722i | \(-0.213973\pi\) |
−0.930515 | + | 0.366254i | \(0.880640\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.932638 | + | 20.3220i | −0.0337638 | + | 0.735705i | ||||
\(764\) | 5.71230i | 0.206664i | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 2.42022 | + | 1.39732i | 0.0874463 | + | 0.0504871i | ||||
\(767\) | 1.13923 | + | 0.657734i | 0.0411352 | + | 0.0237494i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | − | 21.6670i | − | 0.781333i | −0.920532 | − | 0.390667i | \(-0.872245\pi\) | ||
0.920532 | − | 0.390667i | \(-0.127755\pi\) | |||||||
\(770\) | 3.82653 | + | 2.44977i | 0.137899 | + | 0.0882836i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0.691202 | + | 1.19720i | 0.0248769 | + | 0.0430881i | ||||
\(773\) | 5.35259 | − | 9.27095i | 0.192519 | − | 0.333453i | −0.753565 | − | 0.657373i | \(-0.771668\pi\) |
0.946084 | + | 0.323920i | \(0.105001\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −7.93216 | + | 4.57964i | −0.284932 | + | 0.164505i | ||||
\(776\) | −4.33520 | −0.155625 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −7.75793 | −0.278135 | ||||||||
\(779\) | −28.3991 | + | 16.3962i | −1.01750 | + | 0.587456i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 5.06311 | − | 8.76957i | 0.181172 | − | 0.313800i | ||||
\(782\) | 12.4207 | + | 21.5133i | 0.444164 | + | 0.769315i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −6.97058 | − | 0.641153i | −0.248949 | − | 0.0228983i | ||||
\(785\) | 3.05471i | 0.109027i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 21.4355 | + | 12.3758i | 0.764093 | + | 0.441149i | 0.830763 | − | 0.556626i | \(-0.187904\pi\) |
−0.0666702 | + | 0.997775i | \(0.521238\pi\) | |||||||
\(788\) | 5.14881 | + | 2.97267i | 0.183419 | + | 0.105897i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | − | 6.71785i | − | 0.239010i | ||||||
\(791\) | −0.662332 | − | 1.27928i | −0.0235498 | − | 0.0454859i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −26.3855 | − | 45.7010i | −0.936976 | − | 1.62289i | ||||
\(794\) | −2.89038 | + | 5.00629i | −0.102576 | + | 0.177666i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −16.1647 | + | 9.33269i | −0.572942 | + | 0.330788i | ||||
\(797\) | −54.4419 | −1.92843 | −0.964215 | − | 0.265122i | \(-0.914588\pi\) | ||||
−0.964215 | + | 0.265122i | \(0.914588\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 8.24393 | 0.291649 | ||||||||
\(800\) | 3.95240 | − | 2.28192i | 0.139739 | − | 0.0806781i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 6.82164 | − | 11.8154i | 0.240881 | − | 0.417217i | ||||
\(803\) | −5.20698 | − | 9.01875i | −0.183750 | − | 0.318265i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −9.19988 | − | 0.422211i | −0.324253 | − | 0.0148810i | ||||
\(806\) | − | 11.7889i | − | 0.415245i | ||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 4.39565 | + | 2.53783i | 0.154638 | + | 0.0892805i | ||||
\(809\) | −24.6546 | − | 14.2343i | −0.866809 | − | 0.500452i | −0.000522376 | − | 1.00000i | \(-0.500166\pi\) |
−0.866286 | + | 0.499548i | \(0.833500\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 34.3732i | − | 1.20701i | −0.797361 | − | 0.603503i | \(-0.793771\pi\) | ||
0.797361 | − | 0.603503i | \(-0.206229\pi\) | |||||||
\(812\) | −19.6604 | − | 0.902275i | −0.689944 | − | 0.0316636i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −8.24585 | − | 14.2822i | −0.289017 | − | 0.500592i | ||||
\(815\) | 3.81003 | − | 6.59916i | 0.133459 | − | 0.231158i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 9.55877 | − | 5.51876i | 0.334419 | − | 0.193077i | ||||
\(818\) | 29.2861 | 1.02397 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 5.21936 | 0.182268 | ||||||||
\(821\) | −0.957060 | + | 0.552559i | −0.0334016 | + | 0.0192844i | −0.516608 | − | 0.856222i | \(-0.672805\pi\) |
0.483206 | + | 0.875507i | \(0.339472\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −17.4396 | + | 30.2063i | −0.607908 | + | 1.05293i | 0.383677 | + | 0.923467i | \(0.374658\pi\) |
−0.991585 | + | 0.129460i | \(0.958676\pi\) | |||||||
\(824\) | 1.43352 | + | 2.48292i | 0.0499389 | + | 0.0864967i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0.272414 | + | 0.526162i | 0.00947851 | + | 0.0183075i | ||||
\(827\) | 17.3806i | 0.604382i | 0.953247 | + | 0.302191i | \(0.0977181\pi\) | ||||
−0.953247 | + | 0.302191i | \(0.902282\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 45.2612 | + | 26.1315i | 1.57199 | + | 0.907586i | 0.995926 | + | 0.0901786i | \(0.0287438\pi\) |
0.576060 | + | 0.817408i | \(0.304590\pi\) | |||||||
\(830\) | −7.02851 | − | 4.05791i | −0.243963 | − | 0.140852i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 5.87410i | 0.203648i | ||||||||
\(833\) | −13.8096 | − | 29.9626i | −0.478475 | − | 1.03814i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 6.27611 | + | 10.8705i | 0.217194 | + | 0.376191i | ||||
\(836\) | −5.39475 | + | 9.34398i | −0.186581 | + | 0.323168i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −18.0288 | + | 10.4089i | −0.622794 | + | 0.359570i | ||||
\(839\) | −28.2310 | −0.974644 | −0.487322 | − | 0.873222i | \(-0.662026\pi\) | ||||
−0.487322 | + | 0.873222i | \(0.662026\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −26.3349 | −0.908099 | ||||||||
\(842\) | 33.2548 | − | 19.1997i | 1.14604 | − | 0.661664i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −4.08684 | + | 7.07862i | −0.140675 | + | 0.243656i | ||||
\(845\) | −7.10123 | − | 12.2997i | −0.244290 | − | 0.423122i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 9.44427 | + | 6.04628i | 0.324509 | + | 0.207753i | ||||
\(848\) | − | 9.04907i | − | 0.310746i | ||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 18.6282 | + | 10.7550i | 0.638941 | + | 0.368893i | ||||
\(851\) | 28.9495 | + | 16.7140i | 0.992376 | + | 0.572949i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 32.5436i | 1.11427i | 0.830422 | + | 0.557135i | \(0.188099\pi\) | ||||
−0.830422 | + | 0.557135i | \(0.811901\pi\) | |||||||
\(854\) | 1.08966 | − | 23.7435i | 0.0372875 | − | 0.812487i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −4.90709 | − | 8.49932i | −0.167721 | − | 0.290501i | ||||
\(857\) | −23.6268 | + | 40.9228i | −0.807075 | + | 1.39789i | 0.107807 | + | 0.994172i | \(0.465617\pi\) |
−0.914881 | + | 0.403723i | \(0.867716\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −3.48645 | + | 2.01290i | −0.118956 | + | 0.0686794i | −0.558297 | − | 0.829641i | \(-0.688545\pi\) |
0.439341 | + | 0.898320i | \(0.355212\pi\) | |||||||
\(860\) | −1.75677 | −0.0599053 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −19.9424 | −0.679241 | ||||||||
\(863\) | −19.4653 | + | 11.2383i | −0.662605 | + | 0.382555i | −0.793269 | − | 0.608871i | \(-0.791623\pi\) |
0.130664 | + | 0.991427i | \(0.458289\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 3.16284 | − | 5.47820i | 0.107540 | − | 0.186264i | ||||
\(866\) | 14.1098 | + | 24.4389i | 0.479471 | + | 0.830469i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 2.86293 | − | 4.47189i | 0.0971742 | − | 0.151786i | ||||
\(869\) | 26.4503i | 0.897266i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −57.6917 | − | 33.3083i | −1.95481 | − | 1.12861i | ||||
\(872\) | 6.65893 | + | 3.84454i | 0.225500 | + | 0.130192i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | − | 21.8699i | − | 0.739760i | ||||||
\(875\) | −14.8400 | + | 7.68326i | −0.501684 | + | 0.259742i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 6.82567 | + | 11.8224i | 0.230487 | + | 0.399214i | 0.957951 | − | 0.286931i | \(-0.0926349\pi\) |
−0.727465 | + | 0.686145i | \(0.759302\pi\) | |||||||
\(878\) | 4.56728 | − | 7.91077i | 0.154138 | − | 0.266975i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 1.48722 | − | 0.858648i | 0.0501342 | − | 0.0289450i | ||||
\(881\) | −11.6865 | −0.393727 | −0.196863 | − | 0.980431i | \(-0.563076\pi\) | ||||
−0.196863 | + | 0.980431i | \(0.563076\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −26.6602 | −0.897187 | −0.448593 | − | 0.893736i | \(-0.648075\pi\) | ||||
−0.448593 | + | 0.893736i | \(0.648075\pi\) | |||||||
\(884\) | −23.9762 | + | 13.8427i | −0.806408 | + | 0.465580i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −16.9020 | + | 29.2751i | −0.567833 | + | 0.983515i | ||||
\(887\) | 6.50026 | + | 11.2588i | 0.218257 | + | 0.378033i | 0.954275 | − | 0.298929i | \(-0.0966294\pi\) |
−0.736018 | + | 0.676962i | \(0.763296\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −45.7012 | + | 23.6613i | −1.53277 | + | 0.793574i | ||||
\(890\) | 9.94104i | 0.333224i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 23.5034 | + | 13.5697i | 0.786953 | + | 0.454347i | ||||
\(893\) | −6.28543 | − | 3.62889i | −0.210334 | − | 0.121436i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | − | 13.4664i | − | 0.450133i | ||||||
\(896\) | −1.42653 | + | 2.22823i | −0.0476570 | + | 0.0744400i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −13.5065 | − | 23.3940i | −0.450719 | − | 0.780668i | ||||
\(899\) | 7.46448 | − | 12.9289i | 0.248954 | − | 0.431202i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 36.9355 | − | 21.3247i | 1.23050 | − | 0.710429i | ||||
\(902\) | −20.5503 | −0.684250 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −0.544483 | −0.0181092 | ||||||||
\(905\) | 13.7190 | − | 7.92066i | 0.456034 | − | 0.263292i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −13.5506 | + | 23.4703i | −0.449940 | + | 0.779319i | −0.998382 | − | 0.0568698i | \(-0.981888\pi\) |
0.548441 | + | 0.836189i | \(0.315221\pi\) | |||||||
\(908\) | 6.29665 | + | 10.9061i | 0.208962 | + | 0.361932i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0.470547 | − | 10.2531i | 0.0155985 | − | 0.339887i | ||||
\(911\) | 37.3223i | 1.23654i | 0.785964 | + | 0.618272i | \(0.212167\pi\) | ||||
−0.785964 | + | 0.618272i | \(0.787833\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 27.6735 | + | 15.9773i | 0.915859 | + | 0.528771i | ||||
\(914\) | −2.94976 | − | 1.70305i | −0.0975694 | − | 0.0563317i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 1.41314i | 0.0466916i | ||||||||
\(917\) | −37.2545 | − | 23.8506i | −1.23025 | − | 0.787615i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −6.00814 | − | 10.4064i | −0.198190 | − | 0.343276i | 0.749751 | − | 0.661720i | \(-0.230173\pi\) |
−0.947942 | + | 0.318444i | \(0.896840\pi\) | |||||||
\(920\) | −1.74044 | + | 3.01454i | −0.0573807 | + | 0.0993864i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 1.45155 | − | 0.838051i | 0.0478042 | − | 0.0275997i | ||||
\(923\) | −22.8753 | −0.752949 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 28.9450 | 0.951705 | ||||||||
\(926\) | −14.2432 | + | 8.22333i | −0.468061 | + | 0.270235i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −3.71937 | + | 6.44214i | −0.122094 | + | 0.211474i | ||||
\(929\) | 16.7460 | + | 29.0050i | 0.549419 | + | 0.951622i | 0.998314 | + | 0.0580375i | \(0.0184843\pi\) |
−0.448895 | + | 0.893584i | \(0.648182\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −2.66036 | + | 28.9233i | −0.0871897 | + | 0.947922i | ||||
\(932\) | − | 17.9432i | − | 0.587749i | ||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 3.17159 | + | 1.83112i | 0.103778 | + | 0.0599160i | ||||
\(935\) | 7.00946 | + | 4.04691i | 0.229234 | + | 0.132348i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 28.5256i | 0.931891i | 0.884813 | + | 0.465946i | \(0.154286\pi\) | ||||
−0.884813 | + | 0.465946i | \(0.845714\pi\) | |||||||
\(938\) | −13.7953 | − | 26.6454i | −0.450434 | − | 0.870002i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.577587 | + | 1.00041i | 0.0188388 | + | 0.0326298i | ||||
\(941\) | 4.05703 | − | 7.02698i | 0.132255 | − | 0.229073i | −0.792290 | − | 0.610144i | \(-0.791111\pi\) |
0.924546 | + | 0.381071i | \(0.124445\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 36.0740 | − | 20.8273i | 1.17473 | − | 0.678231i | ||||
\(944\) | 0.223944 | 0.00728875 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 6.91696 | 0.224890 | ||||||||
\(947\) | 27.5208 | − | 15.8892i | 0.894307 | − | 0.516329i | 0.0189584 | − | 0.999820i | \(-0.493965\pi\) |
0.875349 | + | 0.483492i | \(0.160632\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −11.7626 | + | 20.3735i | −0.381831 | + | 0.661351i | ||||
\(950\) | −9.46846 | − | 16.3998i | −0.307197 | − | 0.532081i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −12.4566 | − | 0.571674i | −0.403722 | − | 0.0185281i | ||||
\(953\) | − | 4.07356i | − | 0.131956i | −0.997821 | − | 0.0659778i | \(-0.978983\pi\) | ||
0.997821 | − | 0.0659778i | \(-0.0210166\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −3.26711 | − | 1.88627i | −0.105721 | − | 0.0610381i | ||||
\(956\) | 22.1845 | + | 12.8082i | 0.717497 | + | 0.414247i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 28.4266i | 0.918422i | ||||||||
\(959\) | −8.31091 | − | 0.381413i | −0.268373 | − | 0.0123165i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −13.4861 | − | 23.3587i | −0.435037 | − | 0.753505i | ||||
\(962\) | −18.6275 | + | 32.2637i | −0.600574 | + | 1.04022i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −10.5993 | + | 6.11953i | −0.341382 | + | 0.197097i | ||||
\(965\) | −0.912971 | −0.0293896 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −37.7138 | −1.21279 | −0.606397 | − | 0.795162i | \(-0.707386\pi\) | ||||
−0.606397 | + | 0.795162i | \(0.707386\pi\) | |||||||
\(968\) | 3.67061 | − | 2.11923i | 0.117978 | − | 0.0681146i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 1.43153 | − | 2.47949i | 0.0459638 | − | 0.0796116i | ||||
\(971\) | 26.7525 | + | 46.3368i | 0.858530 | + | 1.48702i | 0.873331 | + | 0.487127i | \(0.161955\pi\) |
−0.0148008 | + | 0.999890i | \(0.504711\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −20.4622 | − | 39.5223i | −0.655989 | − | 1.26703i | ||||
\(974\) | − | 40.1404i | − | 1.28618i | ||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −7.78008 | − | 4.49183i | −0.249034 | − | 0.143780i | ||||
\(977\) | 4.43220 | + | 2.55893i | 0.141799 | + | 0.0818675i | 0.569221 | − | 0.822185i | \(-0.307245\pi\) |
−0.427422 | + | 0.904052i | \(0.640578\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | − | 39.1411i | − | 1.25095i | ||||||
\(980\) | 2.66847 | − | 3.77506i | 0.0852410 | − | 0.120590i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −4.22946 | − | 7.32564i | −0.134967 | − | 0.233770i | ||||
\(983\) | 9.18953 | − | 15.9167i | 0.293100 | − | 0.507665i | −0.681441 | − | 0.731873i | \(-0.738646\pi\) |
0.974541 | + | 0.224208i | \(0.0719797\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −3.40039 | + | 1.96322i | −0.108345 | + | 0.0625533i | ||||
\(986\) | −35.0597 | −1.11653 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 24.3736 | 0.775428 | ||||||||
\(989\) | −12.1420 | + | 7.01020i | −0.386094 | + | 0.222912i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 11.8103 | − | 20.4561i | 0.375168 | − | 0.649810i | −0.615184 | − | 0.788383i | \(-0.710918\pi\) |
0.990352 | + | 0.138574i | \(0.0442517\pi\) | |||||||
\(992\) | −1.00346 | − | 1.73804i | −0.0318599 | − | 0.0551830i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −8.67731 | − | 5.55527i | −0.275227 | − | 0.176202i | ||||
\(995\) | − | 12.3270i | − | 0.390793i | ||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 32.3902 | + | 18.7005i | 1.02581 | + | 0.592250i | 0.915781 | − | 0.401678i | \(-0.131573\pi\) |
0.110027 | + | 0.993929i | \(0.464906\pi\) | |||||||
\(998\) | 9.94519 | + | 5.74186i | 0.314809 | + | 0.181755i | ||||
\(999\) | 0 | 0 |
(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 | 1134.2.k.c.647.2 | ✓ | 16 | |
3.2 | odd | 2 | 1134.2.k.d.647.7 | yes | 16 | ||
7.5 | odd | 6 | 1134.2.k.d.971.7 | yes | 16 | ||
9.2 | odd | 6 | 1134.2.t.g.1025.2 | 16 | |||
9.4 | even | 3 | 1134.2.l.h.269.2 | 16 | |||
9.5 | odd | 6 | 1134.2.l.g.269.7 | 16 | |||
9.7 | even | 3 | 1134.2.t.h.1025.7 | 16 | |||
21.5 | even | 6 | inner | 1134.2.k.c.971.2 | yes | 16 | |
63.5 | even | 6 | 1134.2.t.h.593.7 | 16 | |||
63.40 | odd | 6 | 1134.2.t.g.593.2 | 16 | |||
63.47 | even | 6 | 1134.2.l.h.215.6 | 16 | |||
63.61 | odd | 6 | 1134.2.l.g.215.3 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1134.2.k.c.647.2 | ✓ | 16 | 1.1 | even | 1 | trivial | |
1134.2.k.c.971.2 | yes | 16 | 21.5 | even | 6 | inner | |
1134.2.k.d.647.7 | yes | 16 | 3.2 | odd | 2 | ||
1134.2.k.d.971.7 | yes | 16 | 7.5 | odd | 6 | ||
1134.2.l.g.215.3 | 16 | 63.61 | odd | 6 | |||
1134.2.l.g.269.7 | 16 | 9.5 | odd | 6 | |||
1134.2.l.h.215.6 | 16 | 63.47 | even | 6 | |||
1134.2.l.h.269.2 | 16 | 9.4 | even | 3 | |||
1134.2.t.g.593.2 | 16 | 63.40 | odd | 6 | |||
1134.2.t.g.1025.2 | 16 | 9.2 | odd | 6 | |||
1134.2.t.h.593.7 | 16 | 63.5 | even | 6 | |||
1134.2.t.h.1025.7 | 16 | 9.7 | even | 3 |