Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1134,2,Mod(163,1134)]
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([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1134.163");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1134 = 2 \cdot 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1134.g (of order \(3\), 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: | \(6\) |
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: | \( 3 \) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 487.2 | ||
Root | \(0.500000 + 2.05195i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1134.487 |
Dual form | 1134.2.g.m.163.2 |
$q$-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 \(\left(\mathbb{Z}/1134\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | −0.296790 | − | 0.514055i | −0.132728 | − | 0.229892i | 0.791999 | − | 0.610522i | \(-0.209040\pi\) |
−0.924727 | + | 0.380630i | \(0.875707\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.25729 | − | 1.38008i | −0.853177 | − | 0.521621i | ||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.296790 | − | 0.514055i | 0.0938531 | − | 0.162558i | ||||
\(11\) | 0.296790 | − | 0.514055i | 0.0894855 | − | 0.154993i | −0.817808 | − | 0.575491i | \(-0.804811\pi\) |
0.907294 | + | 0.420497i | \(0.138144\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.51459 | 0.697422 | 0.348711 | − | 0.937230i | \(-0.386620\pi\) | ||||
0.348711 | + | 0.937230i | \(0.386620\pi\) | |||||||
\(14\) | 0.0665372 | − | 2.64491i | 0.0177828 | − | 0.706883i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 1.46050 | − | 2.52967i | 0.354224 | − | 0.613535i | −0.632760 | − | 0.774348i | \(-0.718078\pi\) |
0.986985 | + | 0.160813i | \(0.0514116\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.69076 | + | 4.66053i | 0.617302 | + | 1.06920i | 0.989976 | + | 0.141236i | \(0.0451077\pi\) |
−0.372674 | + | 0.927962i | \(0.621559\pi\) | |||||||
\(20\) | 0.593579 | 0.132728 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.593579 | 0.126552 | ||||||||
\(23\) | −2.23025 | − | 3.86291i | −0.465040 | − | 0.805473i | 0.534164 | − | 0.845381i | \(-0.320627\pi\) |
−0.999203 | + | 0.0399086i | \(0.987293\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.32383 | − | 4.02499i | 0.464766 | − | 0.804999i | ||||
\(26\) | 1.25729 | + | 2.17770i | 0.246576 | + | 0.427082i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.32383 | − | 1.26483i | 0.439163 | − | 0.239031i | ||||
\(29\) | 6.19436 | 1.15026 | 0.575132 | − | 0.818061i | \(-0.304951\pi\) | ||||
0.575132 | + | 0.818061i | \(0.304951\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.93346 | − | 6.81296i | 0.706471 | − | 1.22364i | −0.259687 | − | 0.965693i | \(-0.583620\pi\) |
0.966158 | − | 0.257951i | \(-0.0830472\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.92101 | 0.500949 | ||||||||
\(35\) | −0.0394951 | + | 1.56997i | −0.00667590 | + | 0.265373i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.500000 | + | 0.866025i | 0.0821995 | + | 0.142374i | 0.904194 | − | 0.427121i | \(-0.140472\pi\) |
−0.821995 | + | 0.569495i | \(0.807139\pi\) | |||||||
\(38\) | −2.69076 | + | 4.66053i | −0.436498 | + | 0.756038i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.296790 | + | 0.514055i | 0.0469266 | + | 0.0812792i | ||||
\(41\) | 0.273346 | 0.0426895 | 0.0213448 | − | 0.999772i | \(-0.493205\pi\) | ||||
0.0213448 | + | 0.999772i | \(0.493205\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 11.1623 | 1.70223 | 0.851114 | − | 0.524981i | \(-0.175928\pi\) | ||||
0.851114 | + | 0.524981i | \(0.175928\pi\) | |||||||
\(44\) | 0.296790 | + | 0.514055i | 0.0447427 | + | 0.0774967i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.23025 | − | 3.86291i | 0.328833 | − | 0.569555i | ||||
\(47\) | −6.08113 | − | 10.5328i | −0.887023 | − | 1.53637i | −0.843377 | − | 0.537323i | \(-0.819436\pi\) |
−0.0436467 | − | 0.999047i | \(-0.513898\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.19076 | + | 6.23049i | 0.455822 | + | 0.890071i | ||||
\(50\) | 4.64766 | 0.657279 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.25729 | + | 2.17770i | −0.174355 | + | 0.301992i | ||||
\(53\) | 4.02704 | − | 6.97504i | 0.553157 | − | 0.958096i | −0.444888 | − | 0.895586i | \(-0.646756\pi\) |
0.998044 | − | 0.0625092i | \(-0.0199103\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.352336 | −0.0475090 | ||||||||
\(56\) | 2.25729 | + | 1.38008i | 0.301644 | + | 0.184421i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.09718 | + | 5.36447i | 0.406679 | + | 0.704389i | ||||
\(59\) | −4.32383 | + | 7.48910i | −0.562915 | + | 0.974997i | 0.434325 | + | 0.900756i | \(0.356987\pi\) |
−0.997240 | + | 0.0742412i | \(0.976347\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.32383 | + | 5.75705i | 0.425573 | + | 0.737114i | 0.996474 | − | 0.0839050i | \(-0.0267392\pi\) |
−0.570901 | + | 0.821019i | \(0.693406\pi\) | |||||||
\(62\) | 7.86693 | 0.999101 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −0.746304 | − | 1.29264i | −0.0925676 | − | 0.160332i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.956906 | − | 1.65741i | 0.116905 | − | 0.202485i | −0.801635 | − | 0.597814i | \(-0.796036\pi\) |
0.918540 | + | 0.395329i | \(0.129369\pi\) | |||||||
\(68\) | 1.46050 | + | 2.52967i | 0.177112 | + | 0.306767i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.37938 | + | 0.750780i | −0.164867 | + | 0.0897353i | ||||
\(71\) | −14.4107 | −1.71023 | −0.855117 | − | 0.518435i | \(-0.826515\pi\) | ||||
−0.855117 | + | 0.518435i | \(0.826515\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.95691 | − | 6.85356i | 0.463121 | − | 0.802149i | −0.535994 | − | 0.844222i | \(-0.680063\pi\) |
0.999115 | + | 0.0420732i | \(0.0133963\pi\) | |||||||
\(74\) | −0.500000 | + | 0.866025i | −0.0581238 | + | 0.100673i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −5.38151 | −0.617302 | ||||||||
\(77\) | −1.37938 | + | 0.750780i | −0.157195 | + | 0.0855593i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.62422 | + | 8.00938i | 0.520265 | + | 0.901126i | 0.999722 | + | 0.0235607i | \(0.00750031\pi\) |
−0.479457 | + | 0.877565i | \(0.659166\pi\) | |||||||
\(80\) | −0.296790 | + | 0.514055i | −0.0331821 | + | 0.0574731i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.136673 | + | 0.236725i | 0.0150930 | + | 0.0261419i | ||||
\(83\) | −7.70175 | −0.845377 | −0.422688 | − | 0.906275i | \(-0.638913\pi\) | ||||
−0.422688 | + | 0.906275i | \(0.638913\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.73385 | −0.188063 | ||||||||
\(86\) | 5.58113 | + | 9.66679i | 0.601828 | + | 1.04240i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.296790 | + | 0.514055i | −0.0316379 | + | 0.0547984i | ||||
\(89\) | −6.21780 | − | 10.7695i | −0.659085 | − | 1.14157i | −0.980853 | − | 0.194751i | \(-0.937610\pi\) |
0.321767 | − | 0.946819i | \(-0.395723\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −5.67617 | − | 3.47033i | −0.595024 | − | 0.363790i | ||||
\(92\) | 4.46050 | 0.465040 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 6.08113 | − | 10.5328i | 0.627220 | − | 1.08638i | ||||
\(95\) | 1.59718 | − | 2.76639i | 0.163867 | − | 0.283826i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −11.7339 | −1.19139 | −0.595696 | − | 0.803210i | \(-0.703124\pi\) | ||||
−0.595696 | + | 0.803210i | \(0.703124\pi\) | |||||||
\(98\) | −3.80039 | + | 5.87852i | −0.383897 | + | 0.593821i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.32383 | + | 4.02499i | 0.232383 | + | 0.402499i | ||||
\(101\) | 0.811379 | − | 1.40535i | 0.0807352 | − | 0.139837i | −0.822831 | − | 0.568287i | \(-0.807607\pi\) |
0.903566 | + | 0.428449i | \(0.140940\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −3.19076 | − | 5.52655i | −0.314395 | − | 0.544548i | 0.664914 | − | 0.746920i | \(-0.268468\pi\) |
−0.979309 | + | 0.202372i | \(0.935135\pi\) | |||||||
\(104\) | −2.51459 | −0.246576 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 8.05408 | 0.782282 | ||||||||
\(107\) | 9.35447 | + | 16.2024i | 0.904331 | + | 1.56635i | 0.821813 | + | 0.569758i | \(0.192963\pi\) |
0.0825182 | + | 0.996590i | \(0.473704\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −1.43346 | + | 2.48283i | −0.137301 | + | 0.237812i | −0.926474 | − | 0.376359i | \(-0.877176\pi\) |
0.789173 | + | 0.614171i | \(0.210509\pi\) | |||||||
\(110\) | −0.176168 | − | 0.305132i | −0.0167970 | − | 0.0290932i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.0665372 | + | 2.64491i | −0.00628718 | + | 0.249921i | ||||
\(113\) | 12.3202 | 1.15899 | 0.579495 | − | 0.814976i | \(-0.303250\pi\) | ||||
0.579495 | + | 0.814976i | \(0.303250\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.32383 | + | 2.29294i | −0.123448 | + | 0.213818i | ||||
\(116\) | −3.09718 | + | 5.36447i | −0.287566 | + | 0.498078i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −8.64766 | −0.796082 | ||||||||
\(119\) | −6.78794 | + | 3.69459i | −0.622249 | + | 0.338683i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.32383 | + | 9.22115i | 0.483985 | + | 0.838286i | ||||
\(122\) | −3.32383 | + | 5.75705i | −0.300926 | + | 0.521218i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 3.93346 | + | 6.81296i | 0.353235 | + | 0.611822i | ||||
\(125\) | −5.72665 | −0.512207 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 12.3346 | 1.09452 | 0.547261 | − | 0.836962i | \(-0.315671\pi\) | ||||
0.547261 | + | 0.836962i | \(0.315671\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.746304 | − | 1.29264i | 0.0654552 | − | 0.113372i | ||||
\(131\) | 0.593579 | + | 1.02811i | 0.0518613 | + | 0.0898264i | 0.890791 | − | 0.454414i | \(-0.150151\pi\) |
−0.838929 | + | 0.544240i | \(0.816818\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.358071 | − | 14.2336i | 0.0310487 | − | 1.23421i | ||||
\(134\) | 1.91381 | 0.165328 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.46050 | + | 2.52967i | −0.125237 | + | 0.216917i | ||||
\(137\) | −1.26089 | + | 2.18393i | −0.107725 | + | 0.186586i | −0.914848 | − | 0.403797i | \(-0.867690\pi\) |
0.807123 | + | 0.590383i | \(0.201023\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −4.91381 | −0.416784 | −0.208392 | − | 0.978045i | \(-0.566823\pi\) | ||||
−0.208392 | + | 0.978045i | \(0.566823\pi\) | |||||||
\(140\) | −1.33988 | − | 0.819187i | −0.113241 | − | 0.0692339i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −7.20535 | − | 12.4800i | −0.604659 | − | 1.04730i | ||||
\(143\) | 0.746304 | − | 1.29264i | 0.0624091 | − | 0.108096i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −1.83842 | − | 3.18424i | −0.152673 | − | 0.264437i | ||||
\(146\) | 7.91381 | 0.654952 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.00000 | −0.0821995 | ||||||||
\(149\) | −9.02558 | − | 15.6328i | −0.739404 | − | 1.28069i | −0.952764 | − | 0.303712i | \(-0.901774\pi\) |
0.213360 | − | 0.976974i | \(-0.431559\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.823832 | + | 1.42692i | −0.0670425 | + | 0.116121i | −0.897598 | − | 0.440815i | \(-0.854690\pi\) |
0.830556 | + | 0.556936i | \(0.188023\pi\) | |||||||
\(152\) | −2.69076 | − | 4.66053i | −0.218249 | − | 0.378019i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −1.33988 | − | 0.819187i | −0.107971 | − | 0.0660120i | ||||
\(155\) | −4.66964 | −0.375075 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3.30039 | − | 5.71644i | 0.263400 | − | 0.456222i | −0.703743 | − | 0.710454i | \(-0.748490\pi\) |
0.967143 | + | 0.254233i | \(0.0818229\pi\) | |||||||
\(158\) | −4.62422 | + | 8.00938i | −0.367883 | + | 0.637192i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.593579 | −0.0469266 | ||||||||
\(161\) | −0.296790 | + | 11.7977i | −0.0233903 | + | 0.929785i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −2.99115 | − | 5.18082i | −0.234285 | − | 0.405793i | 0.724780 | − | 0.688980i | \(-0.241941\pi\) |
−0.959065 | + | 0.283188i | \(0.908608\pi\) | |||||||
\(164\) | −0.136673 | + | 0.236725i | −0.0106724 | + | 0.0184851i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −3.85087 | − | 6.66991i | −0.298886 | − | 0.517685i | ||||
\(167\) | −7.46050 | −0.577311 | −0.288656 | − | 0.957433i | \(-0.593208\pi\) | ||||
−0.288656 | + | 0.957433i | \(0.593208\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −6.67684 | −0.513603 | ||||||||
\(170\) | −0.866926 | − | 1.50156i | −0.0664902 | − | 0.115164i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −5.58113 | + | 9.66679i | −0.425557 | + | 0.737086i | ||||
\(173\) | 12.8296 | + | 22.2215i | 0.975414 | + | 1.68947i | 0.678562 | + | 0.734543i | \(0.262603\pi\) |
0.296851 | + | 0.954924i | \(0.404063\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −10.8004 | + | 5.87852i | −0.816433 | + | 0.444375i | ||||
\(176\) | −0.593579 | −0.0447427 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 6.21780 | − | 10.7695i | 0.466044 | − | 0.807211i | ||||
\(179\) | 7.51819 | − | 13.0219i | 0.561936 | − | 0.973301i | −0.435392 | − | 0.900241i | \(-0.643390\pi\) |
0.997328 | − | 0.0730602i | \(-0.0232765\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.0861875 | −0.00640627 | −0.00320313 | − | 0.999995i | \(-0.501020\pi\) | ||||
−0.00320313 | + | 0.999995i | \(0.501020\pi\) | |||||||
\(182\) | 0.167314 | − | 6.65087i | 0.0124021 | − | 0.492996i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 2.23025 | + | 3.86291i | 0.164416 | + | 0.284778i | ||||
\(185\) | 0.296790 | − | 0.514055i | 0.0218204 | − | 0.0377941i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.866926 | − | 1.50156i | −0.0633959 | − | 0.109805i | ||||
\(188\) | 12.1623 | 0.887023 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 3.19436 | 0.231743 | ||||||||
\(191\) | −1.99115 | − | 3.44877i | −0.144074 | − | 0.249544i | 0.784953 | − | 0.619555i | \(-0.212687\pi\) |
−0.929027 | + | 0.370011i | \(0.879354\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3.39037 | + | 5.87229i | −0.244044 | + | 0.422697i | −0.961862 | − | 0.273534i | \(-0.911808\pi\) |
0.717818 | + | 0.696230i | \(0.245141\pi\) | |||||||
\(194\) | −5.86693 | − | 10.1618i | −0.421221 | − | 0.729576i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −6.99115 | − | 0.351971i | −0.499368 | − | 0.0251408i | ||||
\(197\) | 11.0584 | 0.787875 | 0.393938 | − | 0.919137i | \(-0.371113\pi\) | ||||
0.393938 | + | 0.919137i | \(0.371113\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2.80924 | − | 4.86575i | 0.199142 | − | 0.344924i | −0.749109 | − | 0.662447i | \(-0.769518\pi\) |
0.948250 | + | 0.317523i | \(0.102851\pi\) | |||||||
\(200\) | −2.32383 | + | 4.02499i | −0.164320 | + | 0.284610i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 1.62276 | 0.114177 | ||||||||
\(203\) | −13.9825 | − | 8.54871i | −0.981378 | − | 0.600002i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.0811263 | − | 0.140515i | −0.00566611 | − | 0.00981399i | ||||
\(206\) | 3.19076 | − | 5.52655i | 0.222311 | − | 0.385053i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −1.25729 | − | 2.17770i | −0.0871777 | − | 0.150996i | ||||
\(209\) | 3.19436 | 0.220958 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −19.3245 | −1.33035 | −0.665177 | − | 0.746686i | \(-0.731644\pi\) | ||||
−0.665177 | + | 0.746686i | \(0.731644\pi\) | |||||||
\(212\) | 4.02704 | + | 6.97504i | 0.276578 | + | 0.479048i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −9.35447 | + | 16.2024i | −0.639459 | + | 1.10757i | ||||
\(215\) | −3.31284 | − | 5.73801i | −0.225934 | − | 0.391329i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −18.2814 | + | 9.95036i | −1.24102 | + | 0.675474i | ||||
\(218\) | −2.86693 | −0.194173 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.176168 | − | 0.305132i | 0.0118773 | − | 0.0205720i | ||||
\(221\) | 3.67257 | − | 6.36108i | 0.247044 | − | 0.427892i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −25.3245 | −1.69585 | −0.847927 | − | 0.530113i | \(-0.822150\pi\) | ||||
−0.847927 | + | 0.530113i | \(0.822150\pi\) | |||||||
\(224\) | −2.32383 | + | 1.26483i | −0.155268 | + | 0.0845103i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 6.16012 | + | 10.6696i | 0.409765 | + | 0.709734i | ||||
\(227\) | −2.40856 | + | 4.17174i | −0.159862 | + | 0.276888i | −0.934819 | − | 0.355126i | \(-0.884438\pi\) |
0.774957 | + | 0.632014i | \(0.217771\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 4.64766 | + | 8.04999i | 0.307126 | + | 0.531958i | 0.977732 | − | 0.209855i | \(-0.0672993\pi\) |
−0.670606 | + | 0.741814i | \(0.733966\pi\) | |||||||
\(230\) | −2.64766 | −0.174582 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −6.19436 | −0.406679 | ||||||||
\(233\) | 0.0971780 | + | 0.168317i | 0.00636634 | + | 0.0110268i | 0.869191 | − | 0.494476i | \(-0.164640\pi\) |
−0.862825 | + | 0.505503i | \(0.831307\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −3.60963 | + | 6.25206i | −0.235466 | + | 0.407840i | ||||
\(236\) | −4.32383 | − | 7.48910i | −0.281457 | − | 0.487499i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −6.59358 | − | 4.03123i | −0.427398 | − | 0.261306i | ||||
\(239\) | 13.6549 | 0.883260 | 0.441630 | − | 0.897197i | \(-0.354400\pi\) | ||||
0.441630 | + | 0.897197i | \(0.354400\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 6.50000 | − | 11.2583i | 0.418702 | − | 0.725213i | −0.577107 | − | 0.816668i | \(-0.695819\pi\) |
0.995809 | + | 0.0914555i | \(0.0291519\pi\) | |||||||
\(242\) | −5.32383 | + | 9.22115i | −0.342229 | + | 0.592758i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −6.64766 | −0.425573 | ||||||||
\(245\) | 2.25583 | − | 3.48937i | 0.144120 | − | 0.222928i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 6.76615 | + | 11.7193i | 0.430520 | + | 0.745682i | ||||
\(248\) | −3.93346 | + | 6.81296i | −0.249775 | + | 0.432623i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −2.86333 | − | 4.95943i | −0.181093 | − | 0.313662i | ||||
\(251\) | −19.5438 | −1.23359 | −0.616796 | − | 0.787123i | \(-0.711570\pi\) | ||||
−0.616796 | + | 0.787123i | \(0.711570\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.64766 | −0.166457 | ||||||||
\(254\) | 6.16731 | + | 10.6821i | 0.386972 | + | 0.670255i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −4.16372 | − | 7.21177i | −0.259725 | − | 0.449858i | 0.706443 | − | 0.707770i | \(-0.250299\pi\) |
−0.966168 | + | 0.257912i | \(0.916965\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.0665372 | − | 2.64491i | 0.00413442 | − | 0.164347i | ||||
\(260\) | 1.49261 | 0.0925676 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −0.593579 | + | 1.02811i | −0.0366715 | + | 0.0635168i | ||||
\(263\) | 8.54523 | − | 14.8008i | 0.526921 | − | 0.912655i | −0.472586 | − | 0.881284i | \(-0.656680\pi\) |
0.999508 | − | 0.0313704i | \(-0.00998713\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −4.78074 | −0.293678 | ||||||||
\(266\) | 12.5057 | − | 6.80672i | 0.766776 | − | 0.417347i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.956906 | + | 1.65741i | 0.0584524 | + | 0.101242i | ||||
\(269\) | −5.00720 | + | 8.67272i | −0.305294 | + | 0.528785i | −0.977327 | − | 0.211737i | \(-0.932088\pi\) |
0.672033 | + | 0.740522i | \(0.265421\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.10457 | + | 8.84137i | 0.310081 | + | 0.537075i | 0.978380 | − | 0.206818i | \(-0.0663106\pi\) |
−0.668299 | + | 0.743893i | \(0.732977\pi\) | |||||||
\(272\) | −2.92101 | −0.177112 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −2.52179 | −0.152347 | ||||||||
\(275\) | −1.37938 | − | 2.38915i | −0.0831797 | − | 0.144071i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −9.67111 | + | 16.7508i | −0.581081 | + | 1.00646i | 0.414271 | + | 0.910154i | \(0.364037\pi\) |
−0.995352 | + | 0.0963074i | \(0.969297\pi\) | |||||||
\(278\) | −2.45691 | − | 4.25549i | −0.147355 | − | 0.255227i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.0394951 | − | 1.56997i | 0.00236029 | − | 0.0938235i | ||||
\(281\) | 12.8027 | 0.763746 | 0.381873 | − | 0.924215i | \(-0.375279\pi\) | ||||
0.381873 | + | 0.924215i | \(0.375279\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 8.17617 | − | 14.1615i | 0.486023 | − | 0.841816i | −0.513848 | − | 0.857881i | \(-0.671781\pi\) |
0.999871 | + | 0.0160650i | \(0.00511388\pi\) | |||||||
\(284\) | 7.20535 | − | 12.4800i | 0.427559 | − | 0.740553i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.49261 | 0.0882598 | ||||||||
\(287\) | −0.617023 | − | 0.377240i | −0.0364217 | − | 0.0222678i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 4.23385 | + | 7.33325i | 0.249050 | + | 0.431367i | ||||
\(290\) | 1.83842 | − | 3.18424i | 0.107956 | − | 0.186985i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 3.95691 | + | 6.85356i | 0.231560 | + | 0.401074i | ||||
\(293\) | 20.7778 | 1.21385 | 0.606926 | − | 0.794758i | \(-0.292402\pi\) | ||||
0.606926 | + | 0.794758i | \(0.292402\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 5.13307 | 0.298859 | ||||||||
\(296\) | −0.500000 | − | 0.866025i | −0.0290619 | − | 0.0503367i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 9.02558 | − | 15.6328i | 0.522838 | − | 0.905582i | ||||
\(299\) | −5.60817 | − | 9.71363i | −0.324329 | − | 0.561754i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −25.1965 | − | 15.4048i | −1.45230 | − | 0.887918i | ||||
\(302\) | −1.64766 | −0.0948124 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 2.69076 | − | 4.66053i | 0.154326 | − | 0.267300i | ||||
\(305\) | 1.97296 | − | 3.41726i | 0.112971 | − | 0.195672i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −22.6768 | −1.29424 | −0.647118 | − | 0.762390i | \(-0.724026\pi\) | ||||
−0.647118 | + | 0.762390i | \(0.724026\pi\) | |||||||
\(308\) | 0.0394951 | − | 1.56997i | 0.00225044 | − | 0.0894572i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −2.33482 | − | 4.04403i | −0.132609 | − | 0.229686i | ||||
\(311\) | 3.25729 | − | 5.64180i | 0.184704 | − | 0.319917i | −0.758773 | − | 0.651356i | \(-0.774201\pi\) |
0.943477 | + | 0.331439i | \(0.107534\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −0.133074 | − | 0.230492i | −0.00752181 | − | 0.0130282i | 0.862240 | − | 0.506500i | \(-0.169061\pi\) |
−0.869762 | + | 0.493472i | \(0.835728\pi\) | |||||||
\(314\) | 6.60078 | 0.372503 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −9.24844 | −0.520265 | ||||||||
\(317\) | −7.86186 | − | 13.6171i | −0.441566 | − | 0.764815i | 0.556240 | − | 0.831022i | \(-0.312244\pi\) |
−0.997806 | + | 0.0662067i | \(0.978910\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1.83842 | − | 3.18424i | 0.102932 | − | 0.178283i | ||||
\(320\) | −0.296790 | − | 0.514055i | −0.0165910 | − | 0.0287365i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −10.3655 | + | 5.64180i | −0.577645 | + | 0.314405i | ||||
\(323\) | 15.7195 | 0.874654 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 5.84348 | − | 10.1212i | 0.324138 | − | 0.561424i | ||||
\(326\) | 2.99115 | − | 5.18082i | 0.165664 | − | 0.286939i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.273346 | −0.0150930 | ||||||||
\(329\) | −0.809243 | + | 32.1681i | −0.0446150 | + | 1.77349i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 12.5811 | + | 21.7912i | 0.691521 | + | 1.19775i | 0.971339 | + | 0.237697i | \(0.0763925\pi\) |
−0.279818 | + | 0.960053i | \(0.590274\pi\) | |||||||
\(332\) | 3.85087 | − | 6.66991i | 0.211344 | − | 0.366059i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −3.73025 | − | 6.46099i | −0.204110 | − | 0.353529i | ||||
\(335\) | −1.13600 | −0.0620663 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 18.7339 | 1.02050 | 0.510249 | − | 0.860027i | \(-0.329553\pi\) | ||||
0.510249 | + | 0.860027i | \(0.329553\pi\) | |||||||
\(338\) | −3.33842 | − | 5.78231i | −0.181586 | − | 0.314516i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.866926 | − | 1.50156i | 0.0470156 | − | 0.0814335i | ||||
\(341\) | −2.33482 | − | 4.04403i | −0.126438 | − | 0.218997i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 1.39610 | − | 18.4676i | 0.0753825 | − | 0.997155i | ||||
\(344\) | −11.1623 | −0.601828 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −12.8296 | + | 22.2215i | −0.689722 | + | 1.19463i | ||||
\(347\) | −11.2719 | + | 19.5235i | −0.605106 | + | 1.04808i | 0.386928 | + | 0.922110i | \(0.373536\pi\) |
−0.992035 | + | 0.125965i | \(0.959797\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −3.79086 | −0.202920 | −0.101460 | − | 0.994840i | \(-0.532351\pi\) | ||||
−0.101460 | + | 0.994840i | \(0.532351\pi\) | |||||||
\(350\) | −10.4911 | − | 6.41415i | −0.560775 | − | 0.342851i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.296790 | − | 0.514055i | −0.0158189 | − | 0.0273992i | ||||
\(353\) | −3.41741 | + | 5.91913i | −0.181890 | + | 0.315043i | −0.942524 | − | 0.334138i | \(-0.891555\pi\) |
0.760634 | + | 0.649181i | \(0.224888\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 4.27694 | + | 7.40789i | 0.226997 | + | 0.393170i | ||||
\(356\) | 12.4356 | 0.659085 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 15.0364 | 0.794697 | ||||||||
\(359\) | −6.32237 | − | 10.9507i | −0.333682 | − | 0.577954i | 0.649549 | − | 0.760320i | \(-0.274958\pi\) |
−0.983231 | + | 0.182366i | \(0.941624\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −4.98035 | + | 8.62622i | −0.262124 | + | 0.454012i | ||||
\(362\) | −0.0430937 | − | 0.0746406i | −0.00226496 | − | 0.00392302i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 5.84348 | − | 3.18054i | 0.306282 | − | 0.166706i | ||||
\(365\) | −4.69748 | −0.245877 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −3.27188 | + | 5.66707i | −0.170791 | + | 0.295819i | −0.938697 | − | 0.344744i | \(-0.887966\pi\) |
0.767906 | + | 0.640563i | \(0.221299\pi\) | |||||||
\(368\) | −2.23025 | + | 3.86291i | −0.116260 | + | 0.201368i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.593579 | 0.0308587 | ||||||||
\(371\) | −18.7163 | + | 10.1871i | −0.971704 | + | 0.528887i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −4.71420 | − | 8.16524i | −0.244092 | − | 0.422780i | 0.717784 | − | 0.696266i | \(-0.245157\pi\) |
−0.961876 | + | 0.273486i | \(0.911823\pi\) | |||||||
\(374\) | 0.866926 | − | 1.50156i | 0.0448277 | − | 0.0776438i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 6.08113 | + | 10.5328i | 0.313610 | + | 0.543189i | ||||
\(377\) | 15.5763 | 0.802218 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −7.27762 | −0.373826 | −0.186913 | − | 0.982376i | \(-0.559848\pi\) | ||||
−0.186913 | + | 0.982376i | \(0.559848\pi\) | |||||||
\(380\) | 1.59718 | + | 2.76639i | 0.0819335 | + | 0.141913i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 1.99115 | − | 3.44877i | 0.101876 | − | 0.176454i | ||||
\(383\) | 12.0416 | + | 20.8567i | 0.615299 | + | 1.06573i | 0.990332 | + | 0.138717i | \(0.0442979\pi\) |
−0.375033 | + | 0.927011i | \(0.622369\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.795327 | + | 0.486253i | 0.0405336 | + | 0.0247817i | ||||
\(386\) | −6.78074 | −0.345130 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 5.86693 | − | 10.1618i | 0.297848 | − | 0.515888i | ||||
\(389\) | 8.14913 | − | 14.1147i | 0.413177 | − | 0.715644i | −0.582058 | − | 0.813147i | \(-0.697752\pi\) |
0.995235 | + | 0.0975035i | \(0.0310857\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −13.0292 | −0.658914 | ||||||||
\(392\) | −3.19076 | − | 6.23049i | −0.161158 | − | 0.314688i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 5.52918 | + | 9.57682i | 0.278556 | + | 0.482473i | ||||
\(395\) | 2.74484 | − | 4.75420i | 0.138108 | − | 0.239210i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −6.08619 | − | 10.5416i | −0.305457 | − | 0.529067i | 0.671906 | − | 0.740636i | \(-0.265476\pi\) |
−0.977363 | + | 0.211569i | \(0.932143\pi\) | |||||||
\(398\) | 5.61849 | 0.281629 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.64766 | −0.232383 | ||||||||
\(401\) | 16.6804 | + | 28.8914i | 0.832981 | + | 1.44277i | 0.895663 | + | 0.444733i | \(0.146701\pi\) |
−0.0626819 | + | 0.998034i | \(0.519965\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 9.89104 | − | 17.1318i | 0.492708 | − | 0.853395i | ||||
\(404\) | 0.811379 | + | 1.40535i | 0.0403676 | + | 0.0699187i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.412155 | − | 16.3835i | 0.0204549 | − | 0.813102i | ||||
\(407\) | 0.593579 | 0.0294226 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 2.89037 | − | 5.00627i | 0.142920 | − | 0.247544i | −0.785675 | − | 0.618639i | \(-0.787684\pi\) |
0.928595 | + | 0.371095i | \(0.121018\pi\) | |||||||
\(410\) | 0.0811263 | − | 0.140515i | 0.00400654 | − | 0.00693954i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 6.38151 | 0.314395 | ||||||||
\(413\) | 20.0957 | − | 10.9379i | 0.988846 | − | 0.538217i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.28580 | + | 3.95912i | 0.112205 | + | 0.194346i | ||||
\(416\) | 1.25729 | − | 2.17770i | 0.0616439 | − | 0.106770i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 1.59718 | + | 2.76639i | 0.0781205 | + | 0.135309i | ||||
\(419\) | −30.8712 | −1.50816 | −0.754078 | − | 0.656784i | \(-0.771916\pi\) | ||||
−0.754078 | + | 0.656784i | \(0.771916\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.73385 | 0.181977 | 0.0909884 | − | 0.995852i | \(-0.470997\pi\) | ||||
0.0909884 | + | 0.995852i | \(0.470997\pi\) | |||||||
\(422\) | −9.66225 | − | 16.7355i | −0.470351 | − | 0.814672i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −4.02704 | + | 6.97504i | −0.195570 | + | 0.338738i | ||||
\(425\) | −6.78794 | − | 11.7570i | −0.329263 | − | 0.570301i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.442317 | − | 17.5825i | 0.0214052 | − | 0.850877i | ||||
\(428\) | −18.7089 | −0.904331 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 3.31284 | − | 5.73801i | 0.159759 | − | 0.276711i | ||||
\(431\) | −14.0979 | + | 24.4182i | −0.679070 | + | 1.17618i | 0.296192 | + | 0.955128i | \(0.404283\pi\) |
−0.975261 | + | 0.221055i | \(0.929050\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 12.5438 | 0.602815 | 0.301407 | − | 0.953495i | \(-0.402544\pi\) | ||||
0.301407 | + | 0.953495i | \(0.402544\pi\) | |||||||
\(434\) | −17.7580 | − | 10.8570i | −0.852410 | − | 0.521152i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −1.43346 | − | 2.48283i | −0.0686504 | − | 0.118906i | ||||
\(437\) | 12.0021 | − | 20.7883i | 0.574140 | − | 0.994440i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −13.0203 | − | 22.5519i | −0.621426 | − | 1.07634i | −0.989220 | − | 0.146434i | \(-0.953220\pi\) |
0.367794 | − | 0.929907i | \(-0.380113\pi\) | |||||||
\(440\) | 0.352336 | 0.0167970 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 7.34514 | 0.349373 | ||||||||
\(443\) | 11.7865 | + | 20.4148i | 0.559992 | + | 0.969935i | 0.997496 | + | 0.0707186i | \(0.0225292\pi\) |
−0.437504 | + | 0.899216i | \(0.644137\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −3.69076 | + | 6.39258i | −0.174959 | + | 0.303037i | ||||
\(446\) | −12.6623 | − | 21.9317i | −0.599575 | − | 1.03849i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −2.25729 | − | 1.38008i | −0.106647 | − | 0.0652027i | ||||
\(449\) | 13.6870 | 0.645928 | 0.322964 | − | 0.946411i | \(-0.395321\pi\) | ||||
0.322964 | + | 0.946411i | \(0.395321\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.0811263 | − | 0.140515i | 0.00382009 | − | 0.00661659i | ||||
\(452\) | −6.16012 | + | 10.6696i | −0.289748 | + | 0.501857i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −4.81711 | −0.226078 | ||||||||
\(455\) | −0.0993140 | + | 3.94782i | −0.00465591 | + | 0.185077i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 11.1762 | + | 19.3577i | 0.522799 | + | 0.905515i | 0.999648 | + | 0.0265293i | \(0.00844554\pi\) |
−0.476849 | + | 0.878985i | \(0.658221\pi\) | |||||||
\(458\) | −4.64766 | + | 8.04999i | −0.217171 | + | 0.376151i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −1.32383 | − | 2.29294i | −0.0617240 | − | 0.106909i | ||||
\(461\) | 7.97509 | 0.371437 | 0.185719 | − | 0.982603i | \(-0.440539\pi\) | ||||
0.185719 | + | 0.982603i | \(0.440539\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 28.7352 | 1.33544 | 0.667719 | − | 0.744413i | \(-0.267271\pi\) | ||||
0.667719 | + | 0.744413i | \(0.267271\pi\) | |||||||
\(464\) | −3.09718 | − | 5.36447i | −0.143783 | − | 0.249039i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.0971780 | + | 0.168317i | −0.00450168 | + | 0.00779714i | ||||
\(467\) | 16.7829 | + | 29.0688i | 0.776619 | + | 1.34514i | 0.933880 | + | 0.357586i | \(0.116400\pi\) |
−0.157261 | + | 0.987557i | \(0.550267\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −4.44738 | + | 2.42066i | −0.205361 | + | 0.111775i | ||||
\(470\) | −7.21926 | −0.333000 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 4.32383 | − | 7.48910i | 0.199020 | − | 0.344714i | ||||
\(473\) | 3.31284 | − | 5.73801i | 0.152325 | − | 0.263834i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 25.0115 | 1.14760 | ||||||||
\(476\) | 0.194356 | − | 7.72582i | 0.00890829 | − | 0.354112i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 6.82743 | + | 11.8255i | 0.312279 | + | 0.540884i | ||||
\(479\) | −0.183560 | + | 0.317935i | −0.00838707 | + | 0.0145268i | −0.870188 | − | 0.492719i | \(-0.836003\pi\) |
0.861801 | + | 0.507246i | \(0.169336\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.25729 | + | 2.17770i | 0.0573277 | + | 0.0992945i | ||||
\(482\) | 13.0000 | 0.592134 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −10.6477 | −0.483985 | ||||||||
\(485\) | 3.48249 | + | 6.03184i | 0.158132 | + | 0.273892i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −14.9538 | + | 25.9007i | −0.677621 | + | 1.17367i | 0.298075 | + | 0.954543i | \(0.403656\pi\) |
−0.975695 | + | 0.219131i | \(0.929678\pi\) | |||||||
\(488\) | −3.32383 | − | 5.75705i | −0.150463 | − | 0.260609i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 4.14980 | + | 0.208922i | 0.187469 | + | 0.00943816i | ||||
\(491\) | 0.510317 | 0.0230303 | 0.0115151 | − | 0.999934i | \(-0.496335\pi\) | ||||
0.0115151 | + | 0.999934i | \(0.496335\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 9.04689 | − | 15.6697i | 0.407451 | − | 0.705726i | ||||
\(494\) | −6.76615 | + | 11.7193i | −0.304423 | + | 0.527277i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −7.86693 | −0.353235 | ||||||||
\(497\) | 32.5292 | + | 19.8879i | 1.45913 | + | 0.892095i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 9.50953 | + | 16.4710i | 0.425705 | + | 0.737343i | 0.996486 | − | 0.0837597i | \(-0.0266928\pi\) |
−0.570781 | + | 0.821102i | \(0.693359\pi\) | |||||||
\(500\) | 2.86333 | − | 4.95943i | 0.128052 | − | 0.221792i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −9.77188 | − | 16.9254i | −0.436141 | − | 0.755418i | ||||
\(503\) | −37.7807 | −1.68456 | −0.842280 | − | 0.539040i | \(-0.818787\pi\) | ||||
−0.842280 | + | 0.539040i | \(0.818787\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −0.963235 | −0.0428634 | ||||||||
\(506\) | −1.32383 | − | 2.29294i | −0.0588515 | − | 0.101934i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −6.16731 | + | 10.6821i | −0.273630 | + | 0.473942i | ||||
\(509\) | 5.60817 | + | 9.71363i | 0.248578 | + | 0.430549i | 0.963131 | − | 0.269031i | \(-0.0867035\pi\) |
−0.714554 | + | 0.699581i | \(0.753370\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −18.3904 | + | 10.0097i | −0.813542 | + | 0.442801i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 4.16372 | − | 7.21177i | 0.183654 | − | 0.318097i | ||||
\(515\) | −1.89397 | + | 3.28045i | −0.0834582 | + | 0.144554i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −7.21926 | −0.317503 | ||||||||
\(518\) | 2.32383 | − | 1.26483i | 0.102103 | − | 0.0555736i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.746304 | + | 1.29264i | 0.0327276 | + | 0.0566859i | ||||
\(521\) | −13.7360 | + | 23.7914i | −0.601785 | + | 1.04232i | 0.390766 | + | 0.920490i | \(0.372210\pi\) |
−0.992551 | + | 0.121831i | \(0.961123\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 11.0919 | + | 19.2118i | 0.485016 | + | 0.840072i | 0.999852 | − | 0.0172166i | \(-0.00548048\pi\) |
−0.514836 | + | 0.857289i | \(0.672147\pi\) | |||||||
\(524\) | −1.18716 | −0.0518613 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 17.0905 | 0.745179 | ||||||||
\(527\) | −11.4897 | − | 19.9007i | −0.500498 | − | 0.866889i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 1.55195 | − | 2.68805i | 0.0674760 | − | 0.116872i | ||||
\(530\) | −2.39037 | − | 4.14024i | −0.103831 | − | 0.179841i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 12.1477 | + | 7.42692i | 0.526668 | + | 0.321998i | ||||
\(533\) | 0.687353 | 0.0297726 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 5.55262 | − | 9.61742i | 0.240061 | − | 0.415797i | ||||
\(536\) | −0.956906 | + | 1.65741i | −0.0413321 | + | 0.0715892i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −10.0144 | −0.431751 | ||||||||
\(539\) | 4.14980 | + | 0.208922i | 0.178745 | + | 0.00899893i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 14.9246 | + | 25.8502i | 0.641659 | + | 1.11139i | 0.985062 | + | 0.172198i | \(0.0550869\pi\) |
−0.343403 | + | 0.939188i | \(0.611580\pi\) | |||||||
\(542\) | −5.10457 | + | 8.84137i | −0.219260 | + | 0.379770i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −1.46050 | − | 2.52967i | −0.0626186 | − | 0.108459i | ||||
\(545\) | 1.70175 | 0.0728949 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −17.6870 | −0.756240 | −0.378120 | − | 0.925757i | \(-0.623429\pi\) | ||||
−0.378120 | + | 0.925757i | \(0.623429\pi\) | |||||||
\(548\) | −1.26089 | − | 2.18393i | −0.0538627 | − | 0.0932929i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 1.37938 | − | 2.38915i | 0.0588169 | − | 0.101874i | ||||
\(551\) | 16.6675 | + | 28.8690i | 0.710060 | + | 1.22986i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.615366 | − | 24.4613i | 0.0261680 | − | 1.04020i | ||||
\(554\) | −19.3422 | −0.821772 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 2.45691 | − | 4.25549i | 0.104196 | − | 0.180473i | ||||
\(557\) | 15.0651 | − | 26.0935i | 0.638328 | − | 1.10562i | −0.347472 | − | 0.937690i | \(-0.612960\pi\) |
0.985800 | − | 0.167926i | \(-0.0537069\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 28.0685 | 1.18717 | ||||||||
\(560\) | 1.37938 | − | 0.750780i | 0.0582894 | − | 0.0317262i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 6.40136 | + | 11.0875i | 0.270025 | + | 0.467697i | ||||
\(563\) | −2.04883 | + | 3.54867i | −0.0863478 | + | 0.149559i | −0.905965 | − | 0.423353i | \(-0.860853\pi\) |
0.819617 | + | 0.572912i | \(0.194186\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −3.65652 | − | 6.33327i | −0.153831 | − | 0.266443i | ||||
\(566\) | 16.3523 | 0.687340 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 14.4107 | 0.604659 | ||||||||
\(569\) | −3.11849 | − | 5.40138i | −0.130734 | − | 0.226437i | 0.793226 | − | 0.608927i | \(-0.208400\pi\) |
−0.923960 | + | 0.382490i | \(0.875067\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −17.8011 | + | 30.8323i | −0.744951 | + | 1.29029i | 0.205266 | + | 0.978706i | \(0.434194\pi\) |
−0.950218 | + | 0.311587i | \(0.899139\pi\) | |||||||
\(572\) | 0.746304 | + | 1.29264i | 0.0312045 | + | 0.0540479i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0.0181877 | − | 0.722977i | 0.000759140 | − | 0.0301765i | ||||
\(575\) | −20.7309 | −0.864539 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 23.1388 | − | 40.0776i | 0.963281 | − | 1.66845i | 0.249118 | − | 0.968473i | \(-0.419859\pi\) |
0.714164 | − | 0.699979i | \(-0.246807\pi\) | |||||||
\(578\) | −4.23385 | + | 7.33325i | −0.176105 | + | 0.305023i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 3.67684 | 0.152673 | ||||||||
\(581\) | 17.3851 | + | 10.6290i | 0.721256 | + | 0.440966i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −2.39037 | − | 4.14024i | −0.0989990 | − | 0.171471i | ||||
\(584\) | −3.95691 | + | 6.85356i | −0.163738 | + | 0.283602i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 10.3889 | + | 17.9941i | 0.429162 | + | 0.743330i | ||||
\(587\) | −2.26322 | −0.0934132 | −0.0467066 | − | 0.998909i | \(-0.514873\pi\) | ||||
−0.0467066 | + | 0.998909i | \(0.514873\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 42.3360 | 1.74442 | ||||||||
\(590\) | 2.56654 | + | 4.44537i | 0.105663 | + | 0.183013i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0.500000 | − | 0.866025i | 0.0205499 | − | 0.0355934i | ||||
\(593\) | 23.0979 | + | 40.0067i | 0.948515 | + | 1.64288i | 0.748555 | + | 0.663072i | \(0.230748\pi\) |
0.199960 | + | 0.979804i | \(0.435919\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 3.91381 | + | 2.39285i | 0.160451 | + | 0.0980974i | ||||
\(596\) | 18.0512 | 0.739404 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 5.60817 | − | 9.71363i | 0.229335 | − | 0.397220i | ||||
\(599\) | 8.39037 | − | 14.5325i | 0.342821 | − | 0.593784i | −0.642134 | − | 0.766592i | \(-0.721951\pi\) |
0.984955 | + | 0.172808i | \(0.0552842\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 11.3992 | 0.464984 | 0.232492 | − | 0.972598i | \(-0.425312\pi\) | ||||
0.232492 | + | 0.972598i | \(0.425312\pi\) | |||||||
\(602\) | 0.742705 | − | 29.5232i | 0.0302704 | − | 1.20328i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −0.823832 | − | 1.42692i | −0.0335212 | − | 0.0580605i | ||||
\(605\) | 3.16012 | − | 5.47348i | 0.128477 | − | 0.222529i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 7.21420 | + | 12.4954i | 0.292815 | + | 0.507171i | 0.974474 | − | 0.224499i | \(-0.0720745\pi\) |
−0.681659 | + | 0.731670i | \(0.738741\pi\) | |||||||
\(608\) | 5.38151 | 0.218249 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 3.94592 | 0.159765 | ||||||||
\(611\) | −15.2915 | − | 26.4857i | −0.618629 | − | 1.07150i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 12.2053 | − | 21.1403i | 0.492969 | − | 0.853848i | −0.506998 | − | 0.861947i | \(-0.669245\pi\) |
0.999967 | + | 0.00809942i | \(0.00257815\pi\) | |||||||
\(614\) | −11.3384 | − | 19.6387i | −0.457581 | − | 0.792554i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1.37938 | − | 0.750780i | 0.0555767 | − | 0.0302498i | ||||
\(617\) | −48.9397 | −1.97024 | −0.985119 | − | 0.171876i | \(-0.945017\pi\) | ||||
−0.985119 | + | 0.171876i | \(0.945017\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 22.3296 | − | 38.6759i | 0.897501 | − | 1.55452i | 0.0668227 | − | 0.997765i | \(-0.478714\pi\) |
0.830678 | − | 0.556753i | \(-0.187953\pi\) | |||||||
\(620\) | 2.33482 | − | 4.04403i | 0.0937687 | − | 0.162412i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 6.51459 | 0.261211 | ||||||||
\(623\) | −0.827430 | + | 32.8911i | −0.0331503 | + | 1.31775i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −9.91955 | − | 17.1812i | −0.396782 | − | 0.687246i | ||||
\(626\) | 0.133074 | − | 0.230492i | 0.00531873 | − | 0.00921230i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 3.30039 | + | 5.71644i | 0.131700 | + | 0.228111i | ||||
\(629\) | 2.92101 | 0.116468 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 33.2852 | 1.32506 | 0.662532 | − | 0.749034i | \(-0.269482\pi\) | ||||
0.662532 | + | 0.749034i | \(0.269482\pi\) | |||||||
\(632\) | −4.62422 | − | 8.00938i | −0.183942 | − | 0.318596i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 7.86186 | − | 13.6171i | 0.312235 | − | 0.540806i | ||||
\(635\) | −3.66079 | − | 6.34067i | −0.145274 | − | 0.251622i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 8.02344 | + | 15.6671i | 0.317900 | + | 0.620754i | ||||
\(638\) | 3.67684 | 0.145568 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0.296790 | − | 0.514055i | 0.0117316 | − | 0.0203198i | ||||
\(641\) | −15.3940 | + | 26.6631i | −0.608025 | + | 1.05313i | 0.383540 | + | 0.923524i | \(0.374705\pi\) |
−0.991566 | + | 0.129606i | \(0.958629\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 27.4690 | 1.08327 | 0.541637 | − | 0.840613i | \(-0.317805\pi\) | ||||
0.541637 | + | 0.840613i | \(0.317805\pi\) | |||||||
\(644\) | −10.0687 | − | 6.15585i | −0.396761 | − | 0.242575i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 7.85973 | + | 13.6134i | 0.309237 | + | 0.535614i | ||||
\(647\) | −6.63521 | + | 11.4925i | −0.260857 | + | 0.451818i | −0.966470 | − | 0.256780i | \(-0.917338\pi\) |
0.705613 | + | 0.708598i | \(0.250672\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 2.56654 | + | 4.44537i | 0.100745 | + | 0.174496i | ||||
\(650\) | 11.6870 | 0.458400 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 5.98229 | 0.234285 | ||||||||
\(653\) | 8.57081 | + | 14.8451i | 0.335402 | + | 0.580933i | 0.983562 | − | 0.180571i | \(-0.0577946\pi\) |
−0.648160 | + | 0.761504i | \(0.724461\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.352336 | − | 0.610265i | 0.0137669 | − | 0.0238450i | ||||
\(656\) | −0.136673 | − | 0.236725i | −0.00533619 | − | 0.00924255i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −28.2630 | + | 15.3832i | −1.10181 | + | 0.599701i | ||||
\(659\) | −8.52179 | −0.331962 | −0.165981 | − | 0.986129i | \(-0.553079\pi\) | ||||
−0.165981 | + | 0.986129i | \(0.553079\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −17.1680 | + | 29.7358i | −0.667757 | + | 1.15659i | 0.310773 | + | 0.950484i | \(0.399412\pi\) |
−0.978530 | + | 0.206105i | \(0.933921\pi\) | |||||||
\(662\) | −12.5811 | + | 21.7912i | −0.488979 | + | 0.846937i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 7.70175 | 0.298886 | ||||||||
\(665\) | −7.42315 | + | 4.04033i | −0.287857 | + | 0.156677i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −13.8150 | − | 23.9282i | −0.534918 | − | 0.926505i | ||||
\(668\) | 3.73025 | − | 6.46099i | 0.144328 | − | 0.249983i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.568000 | − | 0.983804i | −0.0219437 | − | 0.0380077i | ||||
\(671\) | 3.94592 | 0.152330 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 15.4031 | 0.593746 | 0.296873 | − | 0.954917i | \(-0.404056\pi\) | ||||
0.296873 | + | 0.954917i | \(0.404056\pi\) | |||||||
\(674\) | 9.36693 | + | 16.2240i | 0.360800 | + | 0.624925i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 3.33842 | − | 5.78231i | 0.128401 | − | 0.222397i | ||||
\(677\) | 3.69076 | + | 6.39258i | 0.141847 | + | 0.245687i | 0.928192 | − | 0.372101i | \(-0.121362\pi\) |
−0.786345 | + | 0.617788i | \(0.788029\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 26.4868 | + | 16.1937i | 1.01647 | + | 0.621455i | ||||
\(680\) | 1.73385 | 0.0664902 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 2.33482 | − | 4.04403i | 0.0894050 | − | 0.154854i | ||||
\(683\) | 4.79893 | − | 8.31198i | 0.183626 | − | 0.318049i | −0.759487 | − | 0.650523i | \(-0.774550\pi\) |
0.943113 | + | 0.332474i | \(0.107883\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.49688 | 0.0571929 | ||||||||
\(686\) | 16.6914 | − | 8.02472i | 0.637282 | − | 0.306385i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −5.58113 | − | 9.66679i | −0.212778 | − | 0.368543i | ||||
\(689\) | 10.1264 | − | 17.5394i | 0.385783 | − | 0.668197i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 7.07227 | + | 12.2495i | 0.269042 | + | 0.465994i | 0.968615 | − | 0.248567i | \(-0.0799597\pi\) |
−0.699573 | + | 0.714561i | \(0.746626\pi\) | |||||||
\(692\) | −25.6591 | −0.975414 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −22.5438 | −0.855750 | ||||||||
\(695\) | 1.45837 | + | 2.52597i | 0.0553191 | + | 0.0958155i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.399223 | − | 0.691475i | 0.0151217 | − | 0.0261915i | ||||
\(698\) | −1.89543 | − | 3.28298i | −0.0717431 | − | 0.124263i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0.309243 | − | 12.2927i | 0.0116883 | − | 0.464619i | ||||
\(701\) | 37.3753 | 1.41164 | 0.705822 | − | 0.708389i | \(-0.250578\pi\) | ||||
0.705822 | + | 0.708389i | \(0.250578\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −2.69076 | + | 4.66053i | −0.101484 | + | 0.175775i | ||||
\(704\) | 0.296790 | − | 0.514055i | 0.0111857 | − | 0.0193742i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −6.83482 | −0.257232 | ||||||||
\(707\) | −3.77102 | + | 2.05252i | −0.141824 | + | 0.0771929i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 5.24338 | + | 9.08180i | 0.196919 | + | 0.341074i | 0.947528 | − | 0.319673i | \(-0.103573\pi\) |
−0.750609 | + | 0.660747i | \(0.770240\pi\) | |||||||
\(710\) | −4.27694 | + | 7.40789i | −0.160511 | + | 0.278013i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 6.21780 | + | 10.7695i | 0.233022 | + | 0.403606i | ||||
\(713\) | −35.0905 | −1.31415 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.885981 | −0.0331338 | ||||||||
\(716\) | 7.51819 | + | 13.0219i | 0.280968 | + | 0.486651i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 6.32237 | − | 10.9507i | 0.235949 | − | 0.408675i | ||||
\(719\) | 1.11995 | + | 1.93981i | 0.0417670 | + | 0.0723426i | 0.886153 | − | 0.463392i | \(-0.153368\pi\) |
−0.844386 | + | 0.535735i | \(0.820035\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −0.424608 | + | 16.8786i | −0.0158132 | + | 0.628590i | ||||
\(722\) | −9.96070 | −0.370699 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0.0430937 | − | 0.0746406i | 0.00160157 | − | 0.00277399i | ||||
\(725\) | 14.3946 | − | 24.9322i | 0.534604 | − | 0.925961i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −0.370045 | −0.0137242 | −0.00686211 | − | 0.999976i | \(-0.502184\pi\) | ||||
−0.00686211 | + | 0.999976i | \(0.502184\pi\) | |||||||
\(728\) | 5.67617 | + | 3.47033i | 0.210373 | + | 0.128619i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −2.34874 | − | 4.06813i | −0.0869307 | − | 0.150568i | ||||
\(731\) | 16.3025 | − | 28.2368i | 0.602971 | − | 1.04438i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −7.00953 | − | 12.1409i | −0.258903 | − | 0.448433i | 0.707045 | − | 0.707168i | \(-0.250028\pi\) |
−0.965948 | + | 0.258735i | \(0.916694\pi\) | |||||||
\(734\) | −6.54377 | −0.241535 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −4.46050 | −0.164416 | ||||||||
\(737\) | −0.568000 | − | 0.983804i | −0.0209225 | − | 0.0362389i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 13.3872 | − | 23.1874i | 0.492458 | − | 0.852962i | −0.507504 | − | 0.861649i | \(-0.669432\pi\) |
0.999962 | + | 0.00868705i | \(0.00276521\pi\) | |||||||
\(740\) | 0.296790 | + | 0.514055i | 0.0109102 | + | 0.0188970i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −18.1804 | − | 11.1153i | −0.667425 | − | 0.408055i | ||||
\(743\) | 10.0934 | 0.370290 | 0.185145 | − | 0.982711i | \(-0.440724\pi\) | ||||
0.185145 | + | 0.982711i | \(0.440724\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −5.35740 | + | 9.27928i | −0.196280 | + | 0.339967i | ||||
\(746\) | 4.71420 | − | 8.16524i | 0.172599 | − | 0.298951i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 1.73385 | 0.0633959 | ||||||||
\(749\) | 1.24484 | − | 49.4836i | 0.0454855 | − | 1.80809i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −5.75729 | − | 9.97193i | −0.210087 | − | 0.363881i | 0.741655 | − | 0.670782i | \(-0.234041\pi\) |
−0.951741 | + | 0.306901i | \(0.900708\pi\) | |||||||
\(752\) | −6.08113 | + | 10.5328i | −0.221756 | + | 0.384092i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 7.78813 | + | 13.4894i | 0.283627 | + | 0.491256i | ||||
\(755\) | 0.978019 | 0.0355938 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −15.2484 | −0.554214 | −0.277107 | − | 0.960839i | \(-0.589376\pi\) | ||||
−0.277107 | + | 0.960839i | \(0.589376\pi\) | |||||||
\(758\) | −3.63881 | − | 6.30260i | −0.132168 | − | 0.228921i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −1.59718 | + | 2.76639i | −0.0579357 | + | 0.100348i | ||||
\(761\) | 0.850874 | + | 1.47376i | 0.0308442 | + | 0.0534236i | 0.881035 | − | 0.473050i | \(-0.156847\pi\) |
−0.850191 | + | 0.526474i | \(0.823514\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 6.66225 | − | 3.62619i | 0.241190 | − | 0.131277i | ||||
\(764\) | 3.98229 | 0.144074 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −12.0416 | + | 20.8567i | −0.435082 | + | 0.753584i | ||||
\(767\) | −10.8727 | + | 18.8320i | −0.392589 | + | 0.679984i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −48.2422 | −1.73966 | −0.869829 | − | 0.493353i | \(-0.835771\pi\) | ||||
−0.869829 | + | 0.493353i | \(0.835771\pi\) | |||||||
\(770\) | −0.0234435 | + | 0.931900i | −0.000844845 | + | 0.0335833i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −3.39037 | − | 5.87229i | −0.122022 | − | 0.211348i | ||||
\(773\) | 3.10243 | − | 5.37357i | 0.111587 | − | 0.193274i | −0.804823 | − | 0.593514i | \(-0.797740\pi\) |
0.916410 | + | 0.400240i | \(0.131073\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −18.2814 | − | 31.6643i | −0.656688 | − | 1.13742i | ||||
\(776\) | 11.7339 | 0.421221 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 16.2983 | 0.584321 | ||||||||
\(779\) | 0.735508 | + | 1.27394i | 0.0263523 | + | 0.0456436i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −4.27694 | + | 7.40789i | −0.153041 | + | 0.265075i | ||||
\(782\) | −6.51459 | − | 11.2836i | −0.232961 | − | 0.403501i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 3.80039 | − | 5.87852i | 0.135728 | − | 0.209947i | ||||
\(785\) | −3.91808 | −0.139842 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −3.04883 | + | 5.28073i | −0.108679 | + | 0.188238i | −0.915235 | − | 0.402920i | \(-0.867995\pi\) |
0.806556 | + | 0.591157i | \(0.201329\pi\) | |||||||
\(788\) | −5.52918 | + | 9.57682i | −0.196969 | + | 0.341160i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 5.48968 | 0.195314 | ||||||||
\(791\) | −27.8104 | − | 17.0029i | −0.988824 | − | 0.604554i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 8.35807 | + | 14.4766i | 0.296804 | + | 0.514079i | ||||
\(794\) | 6.08619 | − | 10.5416i | 0.215991 | − | 0.374107i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 2.80924 | + | 4.86575i | 0.0995710 | + | 0.172462i | ||||
\(797\) | 12.4572 | 0.441256 | 0.220628 | − | 0.975358i | \(-0.429189\pi\) | ||||
0.220628 | + | 0.975358i | \(0.429189\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −35.5261 | −1.25682 | ||||||||
\(800\) | −2.32383 | − | 4.02499i | −0.0821599 | − | 0.142305i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −16.6804 | + | 28.8914i | −0.589007 | + | 1.02019i | ||||
\(803\) | −2.34874 | − | 4.06813i | −0.0828852 | − | 0.143561i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 6.15272 | − | 3.34886i | 0.216855 | − | 0.118032i | ||||
\(806\) | 19.7821 | 0.696794 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −0.811379 | + | 1.40535i | −0.0285442 | + | 0.0494400i | ||||
\(809\) | −2.81644 | + | 4.87822i | −0.0990208 | + | 0.171509i | −0.911280 | − | 0.411788i | \(-0.864904\pi\) |
0.812259 | + | 0.583297i | \(0.198238\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −45.6414 | −1.60269 | −0.801344 | − | 0.598204i | \(-0.795881\pi\) | ||||
−0.801344 | + | 0.598204i | \(0.795881\pi\) | |||||||
\(812\) | 14.3946 | − | 7.83483i | 0.505153 | − | 0.274949i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0.296790 | + | 0.514055i | 0.0104025 | + | 0.0180176i | ||||
\(815\) | −1.77548 | + | 3.07523i | −0.0621924 | + | 0.107720i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 30.0349 | + | 52.0220i | 1.05079 | + | 1.82002i | ||||
\(818\) | 5.78074 | 0.202119 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.162253 | 0.00566611 | ||||||||
\(821\) | −16.3473 | − | 28.3143i | −0.570524 | − | 0.988176i | −0.996512 | − | 0.0834476i | \(-0.973407\pi\) |
0.425988 | − | 0.904729i | \(-0.359926\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 5.21994 | − | 9.04119i | 0.181956 | − | 0.315156i | −0.760591 | − | 0.649231i | \(-0.775091\pi\) |
0.942546 | + | 0.334075i | \(0.108424\pi\) | |||||||
\(824\) | 3.19076 | + | 5.52655i | 0.111155 | + | 0.192527i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 19.5203 | + | 11.9345i | 0.679199 | + | 0.415253i | ||||
\(827\) | 16.7060 | 0.580925 | 0.290463 | − | 0.956886i | \(-0.406191\pi\) | ||||
0.290463 | + | 0.956886i | \(0.406191\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −13.1046 | + | 22.6978i | −0.455141 | + | 0.788327i | −0.998696 | − | 0.0510466i | \(-0.983744\pi\) |
0.543556 | + | 0.839373i | \(0.317078\pi\) | |||||||
\(830\) | −2.28580 | + | 3.95912i | −0.0793412 | + | 0.137423i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 2.51459 | 0.0871777 | ||||||||
\(833\) | 20.4212 | + | 1.02811i | 0.707553 | + | 0.0356219i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 2.21420 | + | 3.83511i | 0.0766256 | + | 0.132719i | ||||
\(836\) | −1.59718 | + | 2.76639i | −0.0552396 | + | 0.0956777i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −15.4356 | − | 26.7352i | −0.533214 | − | 0.923554i | ||||
\(839\) | −22.3772 | −0.772548 | −0.386274 | − | 0.922384i | \(-0.626238\pi\) | ||||
−0.386274 | + | 0.922384i | \(0.626238\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 9.37005 | 0.323105 | ||||||||
\(842\) | 1.86693 | + | 3.23361i | 0.0643385 | + | 0.111438i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 9.66225 | − | 16.7355i | 0.332588 | − | 0.576060i | ||||
\(845\) | 1.98162 | + | 3.43226i | 0.0681697 | + | 0.118073i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0.708466 | − | 28.1622i | 0.0243432 | − | 0.967663i | ||||
\(848\) | −8.05408 | −0.276578 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 6.78794 | − | 11.7570i | 0.232824 | − | 0.403263i | ||||
\(851\) | 2.23025 | − | 3.86291i | 0.0764521 | − | 0.132419i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −9.92528 | −0.339835 | −0.169918 | − | 0.985458i | \(-0.554350\pi\) | ||||
−0.169918 | + | 0.985458i | \(0.554350\pi\) | |||||||
\(854\) | 15.4481 | − | 8.40819i | 0.528621 | − | 0.287722i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −9.35447 | − | 16.2024i | −0.319729 | − | 0.553787i | ||||
\(857\) | −3.89776 | + | 6.75112i | −0.133145 | + | 0.230614i | −0.924887 | − | 0.380241i | \(-0.875841\pi\) |
0.791742 | + | 0.610855i | \(0.209174\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −8.17111 | − | 14.1528i | −0.278795 | − | 0.482886i | 0.692291 | − | 0.721619i | \(-0.256602\pi\) |
−0.971085 | + | 0.238732i | \(0.923268\pi\) | |||||||
\(860\) | 6.62568 | 0.225934 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −28.1957 | −0.960349 | ||||||||
\(863\) | 0.730252 | + | 1.26483i | 0.0248581 | + | 0.0430555i | 0.878187 | − | 0.478318i | \(-0.158753\pi\) |
−0.853329 | + | 0.521373i | \(0.825420\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 7.61537 | − | 13.1902i | 0.258930 | − | 0.448480i | ||||
\(866\) | 6.27188 | + | 10.8632i | 0.213127 | + | 0.369147i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0.523443 | − | 20.8073i | 0.0177668 | − | 0.706247i | ||||
\(869\) | 5.48968 | 0.186225 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 2.40623 | − | 4.16771i | 0.0815319 | − | 0.141217i | ||||
\(872\) | 1.43346 | − | 2.48283i | 0.0485432 | − | 0.0840792i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 24.0043 | 0.811957 | ||||||||
\(875\) | 12.9267 | + | 7.90324i | 0.437004 | + | 0.267178i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 1.20467 | + | 2.08655i | 0.0406789 | + | 0.0704579i | 0.885648 | − | 0.464357i | \(-0.153715\pi\) |
−0.844969 | + | 0.534815i | \(0.820381\pi\) | |||||||
\(878\) | 13.0203 | − | 22.5519i | 0.439415 | − | 0.761088i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.176168 | + | 0.305132i | 0.00593863 | + | 0.0102860i | ||||
\(881\) | −18.9607 | −0.638802 | −0.319401 | − | 0.947620i | \(-0.603482\pi\) | ||||
−0.319401 | + | 0.947620i | \(0.603482\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 3.64008 | 0.122498 | 0.0612492 | − | 0.998123i | \(-0.480492\pi\) | ||||
0.0612492 | + | 0.998123i | \(0.480492\pi\) | |||||||
\(884\) | 3.67257 | + | 6.36108i | 0.123522 | + | 0.213946i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −11.7865 | + | 20.4148i | −0.395974 | + | 0.685848i | ||||
\(887\) | 12.2286 | + | 21.1805i | 0.410596 | + | 0.711173i | 0.994955 | − | 0.100322i | \(-0.0319873\pi\) |
−0.584359 | + | 0.811495i | \(0.698654\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −27.8429 | − | 17.0228i | −0.933820 | − | 0.570926i | ||||
\(890\) | −7.38151 | −0.247429 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 12.6623 | − | 21.9317i | 0.423964 | − | 0.734326i | ||||
\(893\) | 32.7257 | − | 56.6825i | 1.09512 | − | 1.89681i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −8.92528 | −0.298339 | ||||||||
\(896\) | 0.0665372 | − | 2.64491i | 0.00222285 | − | 0.0883604i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 6.84348 | + | 11.8533i | 0.228370 | + | 0.395548i | ||||
\(899\) | 24.3653 | − | 42.2019i | 0.812627 | − | 1.40751i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −11.7630 | − | 20.3742i | −0.391883 | − | 0.678762i | ||||
\(902\) | 0.162253 | 0.00540242 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −12.3202 | −0.409765 | ||||||||
\(905\) | 0.0255796 | + | 0.0443051i | 0.000850293 | + | 0.00147275i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −5.01838 | + | 8.69209i | −0.166633 | + | 0.288616i | −0.937234 | − | 0.348701i | \(-0.886623\pi\) |
0.770601 | + | 0.637318i | \(0.219956\pi\) | |||||||
\(908\) | −2.40856 | − | 4.17174i | −0.0799308 | − | 0.138444i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −3.46857 | + | 1.88790i | −0.114982 | + | 0.0625833i | ||||
\(911\) | −22.8918 | −0.758440 | −0.379220 | − | 0.925306i | \(-0.623808\pi\) | ||||
−0.379220 | + | 0.925306i | \(0.623808\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −2.28580 | + | 3.95912i | −0.0756489 | + | 0.131028i | ||||
\(914\) | −11.1762 | + | 19.3577i | −0.369675 | + | 0.640296i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −9.29533 | −0.307126 | ||||||||
\(917\) | 0.0789903 | − | 3.13993i | 0.00260849 | − | 0.103690i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 10.8910 | + | 18.8638i | 0.359262 | + | 0.622261i | 0.987838 | − | 0.155488i | \(-0.0496950\pi\) |
−0.628575 | + | 0.777749i | \(0.716362\pi\) | |||||||
\(920\) | 1.32383 | − | 2.29294i | 0.0436454 | − | 0.0755961i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 3.98755 | + | 6.90663i | 0.131323 | + | 0.227458i | ||||
\(923\) | −36.2370 | −1.19275 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 4.64766 | 0.152814 | ||||||||
\(926\) | 14.3676 | + | 24.8854i | 0.472149 | + | 0.817785i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 3.09718 | − | 5.36447i | 0.101670 | − | 0.176097i | ||||
\(929\) | 16.4189 | + | 28.4383i | 0.538686 | + | 0.933031i | 0.998975 | + | 0.0452622i | \(0.0144123\pi\) |
−0.460289 | + | 0.887769i | \(0.652254\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −20.4518 | + | 31.6354i | −0.670282 | + | 1.03681i | ||||
\(932\) | −0.194356 | −0.00636634 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −16.7829 | + | 29.0688i | −0.549152 | + | 0.951160i | ||||
\(935\) | −0.514589 | + | 0.891294i | −0.0168289 | + | 0.0291484i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −8.78074 | −0.286854 | −0.143427 | − | 0.989661i | \(-0.545812\pi\) | ||||
−0.143427 | + | 0.989661i | \(0.545812\pi\) | |||||||
\(938\) | −4.32004 | − | 2.64121i | −0.141054 | − | 0.0862387i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −3.60963 | − | 6.25206i | −0.117733 | − | 0.203920i | ||||
\(941\) | −2.13307 | + | 3.69459i | −0.0695362 | + | 0.120440i | −0.898697 | − | 0.438570i | \(-0.855485\pi\) |
0.829161 | + | 0.559010i | \(0.188819\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −0.609631 | − | 1.05591i | −0.0198523 | − | 0.0343852i | ||||
\(944\) | 8.64766 | 0.281457 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 6.62568 | 0.215420 | ||||||||
\(947\) | 11.5292 | + | 19.9691i | 0.374648 | + | 0.648909i | 0.990274 | − | 0.139129i | \(-0.0444302\pi\) |
−0.615626 | + | 0.788038i | \(0.711097\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 9.94999 | − | 17.2339i | 0.322990 | − | 0.559436i | ||||
\(950\) | 12.5057 | + | 21.6606i | 0.405740 | + | 0.702762i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 6.78794 | − | 3.69459i | 0.219998 | − | 0.119742i | ||||
\(953\) | −36.5552 | −1.18414 | −0.592070 | − | 0.805886i | \(-0.701689\pi\) | ||||
−0.592070 | + | 0.805886i | \(0.701689\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1.18190 | + | 2.04712i | −0.0382455 | + | 0.0662431i | ||||
\(956\) | −6.82743 | + | 11.8255i | −0.220815 | + | 0.382463i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −0.367120 | −0.0118611 | ||||||||
\(959\) | 5.86021 | − | 3.18964i | 0.189236 | − | 0.102999i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −15.4443 | − | 26.7502i | −0.498202 | − | 0.862911i | ||||
\(962\) | −1.25729 | + | 2.17770i | −0.0405368 | + | 0.0702118i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 6.50000 | + | 11.2583i | 0.209351 | + | 0.362606i | ||||
\(965\) | 4.02491 | 0.129566 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −53.5438 | −1.72185 | −0.860926 | − | 0.508731i | \(-0.830115\pi\) | ||||
−0.860926 | + | 0.508731i | \(0.830115\pi\) | |||||||
\(968\) | −5.32383 | − | 9.22115i | −0.171114 | − | 0.296379i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −3.48249 | + | 6.03184i | −0.111816 | + | 0.193671i | ||||
\(971\) | −15.9897 | − | 27.6949i | −0.513133 | − | 0.888773i | −0.999884 | − | 0.0152321i | \(-0.995151\pi\) |
0.486751 | − | 0.873541i | \(-0.338182\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 11.0919 | + | 6.78146i | 0.355591 | + | 0.217403i | ||||
\(974\) | −29.9076 | −0.958300 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 3.32383 | − | 5.75705i | 0.106393 | − | 0.184279i | ||||
\(977\) | 13.7104 | − | 23.7471i | 0.438635 | − | 0.759738i | −0.558950 | − | 0.829202i | \(-0.688796\pi\) |
0.997584 | + | 0.0694638i | \(0.0221288\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −7.38151 | −0.235914 | ||||||||
\(980\) | 1.89397 | + | 3.69829i | 0.0605006 | + | 0.118138i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0.255158 | + | 0.441947i | 0.00814243 | + | 0.0141031i | ||||
\(983\) | 29.5782 | − | 51.2309i | 0.943398 | − | 1.63401i | 0.184471 | − | 0.982838i | \(-0.440943\pi\) |
0.758927 | − | 0.651175i | \(-0.225724\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −3.28201 | − | 5.68460i | −0.104573 | − | 0.181126i | ||||
\(986\) | 18.0938 | 0.576223 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −13.5323 | −0.430520 | ||||||||
\(989\) | −24.8946 | − | 43.1188i | −0.791604 | − | 1.37110i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 6.41887 | − | 11.1178i | 0.203902 | − | 0.353169i | −0.745880 | − | 0.666080i | \(-0.767971\pi\) |
0.949782 | + | 0.312911i | \(0.101304\pi\) | |||||||
\(992\) | −3.93346 | − | 6.81296i | −0.124888 | − | 0.216312i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −0.958848 | + | 38.1151i | −0.0304128 | + | 1.20894i | ||||
\(995\) | −3.33502 | −0.105727 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 2.89037 | − | 5.00627i | 0.0915389 | − | 0.158550i | −0.816620 | − | 0.577176i | \(-0.804155\pi\) |
0.908159 | + | 0.418626i | \(0.137488\pi\) | |||||||
\(998\) | −9.50953 | + | 16.4710i | −0.301019 | + | 0.521380i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))