Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [99,3,Mod(26,99)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(99, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("99.26");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 99 = 3^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 99.l (of order \(10\), degree \(4\), 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: | \(2.69755461717\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 26.6 | ||
Character | \(\chi\) | \(=\) | 99.26 |
Dual form | 99.3.l.a.80.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.15480 | − | 1.58945i | 0.577401 | − | 0.794724i | −0.416006 | − | 0.909362i | \(-0.636571\pi\) |
0.993407 | + | 0.114637i | \(0.0365706\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.0432885 | + | 0.133228i | 0.0108221 | + | 0.0333071i | ||||
\(5\) | 5.65603 | + | 7.78486i | 1.13121 | + | 1.55697i | 0.785758 | + | 0.618533i | \(0.212273\pi\) |
0.345448 | + | 0.938438i | \(0.387727\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.61633 | − | 4.97456i | −0.230905 | − | 0.710651i | −0.997638 | − | 0.0686861i | \(-0.978119\pi\) |
0.766734 | − | 0.641965i | \(-0.221881\pi\) | |||||||
\(8\) | 7.73579 | + | 2.51351i | 0.966973 | + | 0.314189i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 18.9052 | 1.89052 | ||||||||
\(11\) | −9.06319 | − | 6.23366i | −0.823927 | − | 0.566696i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −13.9350 | − | 10.1244i | −1.07193 | − | 0.778800i | −0.0956692 | − | 0.995413i | \(-0.530499\pi\) |
−0.976258 | + | 0.216613i | \(0.930499\pi\) | |||||||
\(14\) | −9.77335 | − | 3.17555i | −0.698097 | − | 0.226825i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 12.4751 | − | 9.06367i | 0.779692 | − | 0.566479i | ||||
\(17\) | 4.53667 | + | 6.24419i | 0.266863 | + | 0.367306i | 0.921328 | − | 0.388787i | \(-0.127106\pi\) |
−0.654464 | + | 0.756093i | \(0.727106\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.33521 | − | 13.3424i | 0.228169 | − | 0.702231i | −0.769786 | − | 0.638302i | \(-0.779637\pi\) |
0.997954 | − | 0.0639288i | \(-0.0203630\pi\) | |||||||
\(20\) | −0.792322 | + | 1.09054i | −0.0396161 | + | 0.0545269i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −20.3743 | + | 7.20684i | −0.926104 | + | 0.327584i | ||||
\(23\) | − | 5.68512i | − | 0.247179i | −0.992333 | − | 0.123590i | \(-0.960559\pi\) | ||
0.992333 | − | 0.123590i | \(-0.0394407\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −20.8879 | + | 64.2864i | −0.835516 | + | 2.57145i | ||||
\(26\) | −32.1844 | + | 10.4574i | −1.23786 | + | 0.402206i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.592783 | − | 0.430682i | 0.0211708 | − | 0.0153815i | ||||
\(29\) | 22.9057 | − | 7.44253i | 0.789853 | − | 0.256639i | 0.113812 | − | 0.993502i | \(-0.463694\pi\) |
0.676042 | + | 0.736863i | \(0.263694\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −12.1481 | − | 8.82612i | −0.391874 | − | 0.284713i | 0.374349 | − | 0.927288i | \(-0.377866\pi\) |
−0.766223 | + | 0.642575i | \(0.777866\pi\) | |||||||
\(32\) | 2.24031i | 0.0700097i | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 15.1638 | 0.445994 | ||||||||
\(35\) | 29.5842 | − | 40.7192i | 0.845263 | − | 1.16340i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.36563 | − | 7.28065i | −0.0639359 | − | 0.196774i | 0.913986 | − | 0.405746i | \(-0.132988\pi\) |
−0.977922 | + | 0.208972i | \(0.932988\pi\) | |||||||
\(38\) | −16.2007 | − | 22.2984i | −0.426335 | − | 0.586800i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 24.1865 | + | 74.4385i | 0.604663 | + | 1.86096i | ||||
\(41\) | −17.3048 | − | 5.62267i | −0.422068 | − | 0.137138i | 0.0902795 | − | 0.995916i | \(-0.471224\pi\) |
−0.512347 | + | 0.858778i | \(0.671224\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −53.6955 | −1.24873 | −0.624366 | − | 0.781132i | \(-0.714642\pi\) | ||||
−0.624366 | + | 0.781132i | \(0.714642\pi\) | |||||||
\(44\) | 0.438168 | − | 1.47732i | 0.00995836 | − | 0.0335754i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −9.03621 | − | 6.56519i | −0.196439 | − | 0.142722i | ||||
\(47\) | −36.9117 | − | 11.9934i | −0.785356 | − | 0.255178i | −0.111231 | − | 0.993795i | \(-0.535479\pi\) |
−0.674125 | + | 0.738617i | \(0.735479\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 17.5081 | − | 12.7204i | 0.357309 | − | 0.259600i | ||||
\(50\) | 78.0585 | + | 107.438i | 1.56117 | + | 2.14877i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.745630 | − | 2.29481i | 0.0143390 | − | 0.0441310i | ||||
\(53\) | −47.9715 | + | 66.0271i | −0.905123 | + | 1.24580i | 0.0636816 | + | 0.997970i | \(0.479716\pi\) |
−0.968805 | + | 0.247825i | \(0.920284\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.73355 | − | 105.813i | −0.0497010 | − | 1.92388i | ||||
\(56\) | − | 42.5448i | − | 0.759728i | ||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 14.6221 | − | 45.0022i | 0.252105 | − | 0.775899i | ||||
\(59\) | 0.000412921 | 0 | 0.000134166i | 6.99867e−6 | 0 | 2.27400e-6i | −0.309013 | − | 0.951058i | \(-0.599999\pi\) |
0.309020 | + | 0.951055i | \(0.399999\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.86696 | + | 2.80951i | −0.0633928 | + | 0.0460576i | −0.619030 | − | 0.785367i | \(-0.712474\pi\) |
0.555638 | + | 0.831425i | \(0.312474\pi\) | |||||||
\(62\) | −28.0573 | + | 9.11638i | −0.452537 | + | 0.147038i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 53.4611 | + | 38.8418i | 0.835330 | + | 0.606903i | ||||
\(65\) | − | 165.746i | − | 2.54994i | ||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 111.796 | 1.66860 | 0.834298 | − | 0.551313i | \(-0.185873\pi\) | ||||
0.834298 | + | 0.551313i | \(0.185873\pi\) | |||||||
\(68\) | −0.635517 | + | 0.874715i | −0.00934585 | + | 0.0128635i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −30.5571 | − | 94.0452i | −0.436530 | − | 1.34350i | ||||
\(71\) | 58.5632 | + | 80.6053i | 0.824834 | + | 1.13529i | 0.988863 | + | 0.148831i | \(0.0475509\pi\) |
−0.164029 | + | 0.986456i | \(0.552449\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −10.5980 | − | 32.6171i | −0.145177 | − | 0.446810i | 0.851856 | − | 0.523775i | \(-0.175477\pi\) |
−0.997034 | + | 0.0769653i | \(0.975477\pi\) | |||||||
\(74\) | −14.3041 | − | 4.64767i | −0.193298 | − | 0.0628063i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.96525 | 0.0258585 | ||||||||
\(77\) | −16.3606 | + | 55.1611i | −0.212475 | + | 0.716377i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 49.9398 | + | 36.2834i | 0.632150 | + | 0.459284i | 0.857144 | − | 0.515076i | \(-0.172236\pi\) |
−0.224995 | + | 0.974360i | \(0.572236\pi\) | |||||||
\(80\) | 141.119 | + | 45.8523i | 1.76398 | + | 0.573153i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −28.9205 | + | 21.0120i | −0.352690 | + | 0.256244i | ||||
\(83\) | 38.3421 | + | 52.7733i | 0.461953 | + | 0.635823i | 0.974912 | − | 0.222589i | \(-0.0714509\pi\) |
−0.512960 | + | 0.858413i | \(0.671451\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −22.9506 | + | 70.6347i | −0.270007 | + | 0.830996i | ||||
\(86\) | −62.0076 | + | 85.3462i | −0.721019 | + | 0.992397i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −54.4426 | − | 71.0027i | −0.618666 | − | 0.806849i | ||||
\(89\) | − | 92.5976i | − | 1.04042i | −0.854038 | − | 0.520211i | \(-0.825853\pi\) | ||
0.854038 | − | 0.520211i | \(-0.174147\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −27.8408 | + | 85.6851i | −0.305943 | + | 0.941595i | ||||
\(92\) | 0.757419 | − | 0.246100i | 0.00823282 | − | 0.00267500i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −61.6886 | + | 44.8194i | −0.656261 | + | 0.476802i | ||||
\(95\) | 128.389 | − | 41.7160i | 1.35146 | − | 0.439116i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 42.4116 | + | 30.8138i | 0.437233 | + | 0.317668i | 0.784534 | − | 0.620085i | \(-0.212902\pi\) |
−0.347302 | + | 0.937753i | \(0.612902\pi\) | |||||||
\(98\) | − | 42.5178i | − | 0.433855i | ||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −9.46897 | −0.0946897 | ||||||||
\(101\) | −34.6336 | + | 47.6691i | −0.342907 | + | 0.471971i | −0.945288 | − | 0.326238i | \(-0.894219\pi\) |
0.602381 | + | 0.798209i | \(0.294219\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −29.8866 | − | 91.9816i | −0.290161 | − | 0.893025i | −0.984804 | − | 0.173670i | \(-0.944437\pi\) |
0.694642 | − | 0.719355i | \(-0.255563\pi\) | |||||||
\(104\) | −82.3508 | − | 113.346i | −0.791834 | − | 1.08987i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 49.5491 | + | 152.497i | 0.467445 | + | 1.43865i | ||||
\(107\) | −17.4915 | − | 5.68333i | −0.163472 | − | 0.0531152i | 0.226138 | − | 0.974095i | \(-0.427390\pi\) |
−0.389610 | + | 0.920980i | \(0.627390\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 50.6495 | 0.464674 | 0.232337 | − | 0.972635i | \(-0.425363\pi\) | ||||
0.232337 | + | 0.972635i | \(0.425363\pi\) | |||||||
\(110\) | −171.342 | − | 117.849i | −1.55765 | − | 1.07135i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −65.2516 | − | 47.4081i | −0.582604 | − | 0.423286i | ||||
\(113\) | −9.35427 | − | 3.03939i | −0.0827811 | − | 0.0268972i | 0.267334 | − | 0.963604i | \(-0.413857\pi\) |
−0.350115 | + | 0.936707i | \(0.613857\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 44.2579 | − | 32.1552i | 0.384851 | − | 0.279611i | ||||
\(116\) | 1.98311 | + | 2.72952i | 0.0170958 | + | 0.0235303i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.000263592 | 0 | 0.000811253i | 2.23383e−6 | 0 | 6.87502e-6i | ||||
\(119\) | 23.7293 | − | 32.6606i | 0.199406 | − | 0.274459i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 43.2830 | + | 112.994i | 0.357711 | + | 0.933832i | ||||
\(122\) | 9.39077i | 0.0769736i | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.650015 | − | 2.00054i | 0.00524206 | − | 0.0161334i | ||||
\(125\) | −389.812 | + | 126.657i | −3.11849 | + | 1.01326i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −174.328 | + | 126.656i | −1.37266 | + | 0.997294i | −0.375133 | + | 0.926971i | \(0.622403\pi\) |
−0.997524 | + | 0.0703233i | \(0.977597\pi\) | |||||||
\(128\) | 114.951 | − | 37.3500i | 0.898058 | − | 0.291797i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −263.445 | − | 191.404i | −2.02650 | − | 1.47234i | ||||
\(131\) | 166.588i | 1.27166i | 0.771827 | + | 0.635832i | \(0.219343\pi\) | ||||
−0.771827 | + | 0.635832i | \(0.780657\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −73.3797 | −0.551727 | ||||||||
\(134\) | 129.102 | − | 177.694i | 0.963450 | − | 1.32607i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 19.3999 | + | 59.7067i | 0.142646 | + | 0.439020i | ||||
\(137\) | −25.7144 | − | 35.3928i | −0.187696 | − | 0.258342i | 0.704790 | − | 0.709416i | \(-0.251041\pi\) |
−0.892487 | + | 0.451074i | \(0.851041\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −31.8516 | − | 98.0291i | −0.229148 | − | 0.705245i | −0.997844 | − | 0.0656308i | \(-0.979094\pi\) |
0.768696 | − | 0.639614i | \(-0.220906\pi\) | |||||||
\(140\) | 6.70560 | + | 2.17878i | 0.0478972 | + | 0.0155627i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 195.747 | 1.37850 | ||||||||
\(143\) | 63.1840 | + | 178.626i | 0.441846 | + | 1.24913i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 187.495 | + | 136.223i | 1.29307 | + | 0.939468i | ||||
\(146\) | −64.0818 | − | 20.8214i | −0.438917 | − | 0.142613i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.867584 | − | 0.630337i | 0.00586205 | − | 0.00425903i | ||||
\(149\) | 53.1924 | + | 73.2130i | 0.356996 | + | 0.491363i | 0.949309 | − | 0.314345i | \(-0.101785\pi\) |
−0.592313 | + | 0.805708i | \(0.701785\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 74.2733 | − | 228.590i | 0.491876 | − | 1.51384i | −0.329892 | − | 0.944019i | \(-0.607012\pi\) |
0.821769 | − | 0.569821i | \(-0.192988\pi\) | |||||||
\(152\) | 67.0724 | − | 92.3173i | 0.441266 | − | 0.607351i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 68.7825 | + | 89.7044i | 0.446639 | + | 0.582496i | ||||
\(155\) | − | 144.492i | − | 0.932207i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −9.14801 | + | 28.1547i | −0.0582676 | + | 0.179329i | −0.975954 | − | 0.217976i | \(-0.930055\pi\) |
0.917687 | + | 0.397305i | \(0.130055\pi\) | |||||||
\(158\) | 115.341 | − | 37.4766i | 0.730008 | − | 0.237194i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −17.4405 | + | 12.6713i | −0.109003 | + | 0.0791953i | ||||
\(161\) | −28.2810 | + | 9.18905i | −0.175658 | + | 0.0570748i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −169.962 | − | 123.484i | −1.04271 | − | 0.757573i | −0.0718974 | − | 0.997412i | \(-0.522905\pi\) |
−0.970813 | + | 0.239839i | \(0.922905\pi\) | |||||||
\(164\) | − | 2.54888i | − | 0.0155420i | ||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 128.158 | 0.772036 | ||||||||
\(167\) | −8.96158 | + | 12.3346i | −0.0536622 | + | 0.0738596i | −0.835005 | − | 0.550243i | \(-0.814535\pi\) |
0.781343 | + | 0.624102i | \(0.214535\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 39.4581 | + | 121.440i | 0.233480 | + | 0.718578i | ||||
\(170\) | 85.7668 | + | 118.048i | 0.504511 | + | 0.694399i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −2.32440 | − | 7.15375i | −0.0135139 | − | 0.0415916i | ||||
\(173\) | 203.903 | + | 66.2520i | 1.17863 | + | 0.382960i | 0.831857 | − | 0.554990i | \(-0.187278\pi\) |
0.346772 | + | 0.937950i | \(0.387278\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 353.558 | 2.02033 | ||||||||
\(176\) | −169.564 | + | 4.38046i | −0.963431 | + | 0.0248890i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −147.179 | − | 106.932i | −0.826849 | − | 0.600741i | ||||
\(179\) | 194.582 | + | 63.2234i | 1.08705 | + | 0.353204i | 0.797105 | − | 0.603840i | \(-0.206364\pi\) |
0.289943 | + | 0.957044i | \(0.406364\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −110.640 | + | 80.3847i | −0.611271 | + | 0.444114i | −0.849862 | − | 0.527006i | \(-0.823315\pi\) |
0.238591 | + | 0.971120i | \(0.423315\pi\) | |||||||
\(182\) | 104.042 | + | 143.201i | 0.571657 | + | 0.786818i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 14.2896 | − | 43.9789i | 0.0776609 | − | 0.239016i | ||||
\(185\) | 43.2988 | − | 59.5956i | 0.234047 | − | 0.322139i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −2.19257 | − | 84.8724i | −0.0117250 | − | 0.453863i | ||||
\(188\) | − | 5.43686i | − | 0.0289195i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 81.9581 | − | 252.241i | 0.431358 | − | 1.32758i | ||||
\(191\) | 232.753 | − | 75.6261i | 1.21860 | − | 0.395948i | 0.372030 | − | 0.928221i | \(-0.378662\pi\) |
0.846573 | + | 0.532272i | \(0.178662\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 12.7310 | − | 9.24963i | 0.0659639 | − | 0.0479256i | −0.554315 | − | 0.832307i | \(-0.687020\pi\) |
0.620279 | + | 0.784382i | \(0.287020\pi\) | |||||||
\(194\) | 97.9540 | − | 31.8272i | 0.504918 | − | 0.164058i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 2.45262 | + | 1.78193i | 0.0125133 | + | 0.00909148i | ||||
\(197\) | 95.4172i | 0.484351i | 0.970232 | + | 0.242176i | \(0.0778610\pi\) | ||||
−0.970232 | + | 0.242176i | \(0.922139\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −65.2214 | −0.327746 | −0.163873 | − | 0.986481i | \(-0.552399\pi\) | ||||
−0.163873 | + | 0.986481i | \(0.552399\pi\) | |||||||
\(200\) | −323.169 | + | 444.804i | −1.61584 | + | 2.22402i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 35.7726 | + | 110.097i | 0.177092 | + | 0.545033i | ||||
\(203\) | −74.0466 | − | 101.916i | −0.364762 | − | 0.502051i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −54.1047 | − | 166.517i | −0.263926 | − | 0.812279i | ||||
\(206\) | −180.713 | − | 58.7173i | −0.877248 | − | 0.285035i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −265.605 | −1.27695 | ||||||||
\(209\) | −122.463 | + | 93.9005i | −0.585946 | + | 0.449285i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 222.580 | + | 161.714i | 1.05488 | + | 0.766415i | 0.973134 | − | 0.230238i | \(-0.0739506\pi\) |
0.0817453 | + | 0.996653i | \(0.473951\pi\) | |||||||
\(212\) | −10.8733 | − | 3.53295i | −0.0512891 | − | 0.0166649i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −29.2326 | + | 21.2387i | −0.136601 | + | 0.0992462i | ||||
\(215\) | −303.703 | − | 418.011i | −1.41257 | − | 1.94424i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −24.2707 | + | 74.6974i | −0.111846 | + | 0.344228i | ||||
\(218\) | 58.4902 | − | 80.5048i | 0.268304 | − | 0.369288i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 13.9790 | − | 4.94469i | 0.0635410 | − | 0.0224759i | ||||
\(221\) | − | 132.944i | − | 0.601558i | ||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 56.5219 | − | 173.956i | 0.253461 | − | 0.780074i | −0.740668 | − | 0.671872i | \(-0.765491\pi\) |
0.994129 | − | 0.108202i | \(-0.0345094\pi\) | |||||||
\(224\) | 11.1445 | − | 3.62108i | 0.0497525 | − | 0.0161656i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −15.6333 | + | 11.3582i | −0.0691738 | + | 0.0502577i | ||||
\(227\) | −238.155 | + | 77.3812i | −1.04914 | + | 0.340886i | −0.782331 | − | 0.622863i | \(-0.785969\pi\) |
−0.266809 | + | 0.963749i | \(0.585969\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 283.549 | + | 206.010i | 1.23820 | + | 0.899608i | 0.997477 | − | 0.0709854i | \(-0.0226144\pi\) |
0.240726 | + | 0.970593i | \(0.422614\pi\) | |||||||
\(230\) | − | 107.479i | − | 0.467298i | ||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 195.901 | 0.844400 | ||||||||
\(233\) | 214.372 | − | 295.058i | 0.920052 | − | 1.26634i | −0.0435636 | − | 0.999051i | \(-0.513871\pi\) |
0.963616 | − | 0.267292i | \(-0.0861289\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −115.407 | − | 355.187i | −0.491095 | − | 1.51144i | ||||
\(236\) | 3.57495e−5 | 0 | 4.92049e-5i | 1.51481e−7 | 0 | 2.08495e-7i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −24.5097 | − | 75.4331i | −0.102982 | − | 0.316946i | ||||
\(239\) | −230.931 | − | 75.0342i | −0.966240 | − | 0.313951i | −0.216943 | − | 0.976184i | \(-0.569609\pi\) |
−0.749297 | + | 0.662234i | \(0.769609\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −418.345 | −1.73587 | −0.867935 | − | 0.496677i | \(-0.834553\pi\) | ||||
−0.867935 | + | 0.496677i | \(0.834553\pi\) | |||||||
\(242\) | 229.581 | + | 61.6893i | 0.948682 | + | 0.254914i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −0.541702 | − | 0.393569i | −0.00222009 | − | 0.00161299i | ||||
\(245\) | 198.053 | + | 64.3513i | 0.808379 | + | 0.262658i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −195.495 | + | 142.036i | −0.791478 | + | 0.575043i | ||||
\(248\) | −71.7906 | − | 98.8113i | −0.289478 | − | 0.398433i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −248.840 | + | 765.850i | −0.995359 | + | 3.06340i | ||||
\(251\) | −162.338 | + | 223.439i | −0.646766 | + | 0.890197i | −0.998954 | − | 0.0457326i | \(-0.985438\pi\) |
0.352188 | + | 0.935929i | \(0.385438\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −35.4391 | + | 51.5254i | −0.140076 | + | 0.203658i | ||||
\(254\) | 423.348i | 1.66672i | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −8.30108 | + | 25.5481i | −0.0324261 | + | 0.0997972i | ||||
\(257\) | −153.309 | + | 49.8130i | −0.596532 | + | 0.193825i | −0.591693 | − | 0.806163i | \(-0.701540\pi\) |
−0.00483877 | + | 0.999988i | \(0.501540\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −32.3944 | + | 23.5359i | −0.125075 | + | 0.0908722i | ||||
\(260\) | 22.0821 | − | 7.17491i | 0.0849311 | − | 0.0275958i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 264.783 | + | 192.376i | 1.01062 | + | 0.734260i | ||||
\(263\) | − | 55.4784i | − | 0.210944i | −0.994422 | − | 0.105472i | \(-0.966365\pi\) | ||
0.994422 | − | 0.105472i | \(-0.0336354\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −785.340 | −2.96355 | ||||||||
\(266\) | −84.7390 | + | 116.633i | −0.318568 | + | 0.438471i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 4.83948 | + | 14.8944i | 0.0180578 | + | 0.0555761i | ||||
\(269\) | −34.2101 | − | 47.0861i | −0.127175 | − | 0.175041i | 0.740682 | − | 0.671856i | \(-0.234503\pi\) |
−0.867856 | + | 0.496815i | \(0.834503\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 131.612 | + | 405.060i | 0.485653 | + | 1.49469i | 0.831033 | + | 0.556223i | \(0.187750\pi\) |
−0.345380 | + | 0.938463i | \(0.612250\pi\) | |||||||
\(272\) | 113.191 | + | 36.7779i | 0.416142 | + | 0.135213i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −85.9501 | −0.313686 | ||||||||
\(275\) | 590.050 | − | 452.432i | 2.14564 | − | 1.64521i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 103.461 | + | 75.1686i | 0.373504 | + | 0.271367i | 0.758663 | − | 0.651484i | \(-0.225853\pi\) |
−0.385158 | + | 0.922851i | \(0.625853\pi\) | |||||||
\(278\) | −192.594 | − | 62.5777i | −0.692786 | − | 0.225100i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 331.205 | − | 240.635i | 1.18288 | − | 0.859409i | ||||
\(281\) | −43.7302 | − | 60.1895i | −0.155624 | − | 0.214198i | 0.724085 | − | 0.689711i | \(-0.242262\pi\) |
−0.879709 | + | 0.475513i | \(0.842262\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 152.758 | − | 470.142i | 0.539782 | − | 1.66128i | −0.193301 | − | 0.981139i | \(-0.561919\pi\) |
0.733083 | − | 0.680139i | \(-0.238081\pi\) | |||||||
\(284\) | −8.20379 | + | 11.2916i | −0.0288866 | + | 0.0397590i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 356.882 | + | 105.850i | 1.24784 | + | 0.370104i | ||||
\(287\) | 95.1718i | 0.331609i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 70.8974 | − | 218.200i | 0.245320 | − | 0.755016i | ||||
\(290\) | 433.038 | − | 140.703i | 1.49324 | − | 0.485182i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 3.88676 | − | 2.82389i | 0.0133108 | − | 0.00967087i | ||||
\(293\) | −12.9456 | + | 4.20629i | −0.0441831 | + | 0.0143559i | −0.331025 | − | 0.943622i | \(-0.607394\pi\) |
0.286842 | + | 0.957978i | \(0.407394\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.00337996 | + | 0.00245568i | 1.14575e−5 | + | 8.32436e-6i | ||||
\(296\) | − | 62.2676i | − | 0.210363i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 177.795 | 0.596628 | ||||||||
\(299\) | −57.5585 | + | 79.2225i | −0.192503 | + | 0.264958i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 86.7897 | + | 267.111i | 0.288338 | + | 0.887413i | ||||
\(302\) | −277.561 | − | 382.030i | −0.919075 | − | 1.26500i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −66.8490 | − | 205.740i | −0.219898 | − | 0.676777i | ||||
\(305\) | −43.7433 | − | 14.2131i | −0.143421 | − | 0.0466002i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −215.268 | −0.701198 | −0.350599 | − | 0.936526i | \(-0.614022\pi\) | ||||
−0.350599 | + | 0.936526i | \(0.614022\pi\) | |||||||
\(308\) | −8.05724 | + | 0.208148i | −0.0261599 | + | 0.000675806i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −229.663 | − | 166.860i | −0.740847 | − | 0.538257i | ||||
\(311\) | −85.6398 | − | 27.8260i | −0.275369 | − | 0.0894728i | 0.168077 | − | 0.985774i | \(-0.446244\pi\) |
−0.443446 | + | 0.896301i | \(0.646244\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −208.941 | + | 151.805i | −0.667544 | + | 0.484999i | −0.869202 | − | 0.494457i | \(-0.835367\pi\) |
0.201658 | + | 0.979456i | \(0.435367\pi\) | |||||||
\(314\) | 34.1863 | + | 47.0534i | 0.108873 | + | 0.149851i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.67216 | + | 8.22405i | −0.00845619 | + | 0.0260255i | ||||
\(317\) | −61.7422 | + | 84.9808i | −0.194770 | + | 0.268078i | −0.895221 | − | 0.445623i | \(-0.852982\pi\) |
0.700451 | + | 0.713701i | \(0.252982\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −253.993 | − | 75.3335i | −0.796218 | − | 0.236155i | ||||
\(320\) | 635.878i | 1.98712i | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −18.0534 | + | 55.5627i | −0.0560665 | + | 0.172555i | ||||
\(323\) | 102.980 | − | 33.4602i | 0.318823 | − | 0.103592i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 941.935 | − | 684.356i | 2.89826 | − | 2.10571i | ||||
\(326\) | −392.544 | + | 127.545i | −1.20412 | + | 0.391244i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −119.733 | − | 86.9915i | −0.365041 | − | 0.265218i | ||||
\(329\) | 203.005i | 0.617036i | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 258.731 | 0.781664 | 0.390832 | − | 0.920462i | \(-0.372187\pi\) | ||||
0.390832 | + | 0.920462i | \(0.372187\pi\) | |||||||
\(332\) | −5.37113 | + | 7.39273i | −0.0161781 | + | 0.0222673i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 9.25629 | + | 28.4879i | 0.0277135 | + | 0.0852933i | ||||
\(335\) | 632.321 | + | 870.316i | 1.88753 | + | 2.59796i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −113.715 | − | 349.979i | −0.337433 | − | 1.03851i | −0.965511 | − | 0.260362i | \(-0.916158\pi\) |
0.628078 | − | 0.778150i | \(-0.283842\pi\) | |||||||
\(338\) | 238.588 | + | 77.5221i | 0.705883 | + | 0.229355i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −10.4040 | −0.0306001 | ||||||||
\(341\) | 55.0817 | + | 155.720i | 0.161530 | + | 0.456657i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −298.926 | − | 217.183i | −0.871505 | − | 0.633186i | ||||
\(344\) | −415.377 | − | 134.964i | −1.20749 | − | 0.392337i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 340.772 | − | 247.585i | 0.984889 | − | 0.715564i | ||||
\(347\) | −245.149 | − | 337.419i | −0.706482 | − | 0.972388i | −0.999866 | − | 0.0163937i | \(-0.994781\pi\) |
0.293384 | − | 0.955995i | \(-0.405219\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 86.4724 | − | 266.135i | 0.247772 | − | 0.762564i | −0.747396 | − | 0.664379i | \(-0.768696\pi\) |
0.995168 | − | 0.0981851i | \(-0.0313037\pi\) | |||||||
\(350\) | 408.290 | − | 561.963i | 1.16654 | − | 1.60561i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 13.9653 | − | 20.3044i | 0.0396742 | − | 0.0576828i | ||||
\(353\) | − | 333.271i | − | 0.944111i | −0.881569 | − | 0.472056i | \(-0.843512\pi\) | ||
0.881569 | − | 0.472056i | \(-0.156488\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −296.266 | + | 911.812i | −0.834551 | + | 2.56848i | ||||
\(356\) | 12.3366 | − | 4.00841i | 0.0346534 | − | 0.0112596i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 325.194 | − | 236.267i | 0.908363 | − | 0.659964i | ||||
\(359\) | −472.450 | + | 153.508i | −1.31602 | + | 0.427600i | −0.881125 | − | 0.472883i | \(-0.843213\pi\) |
−0.434891 | + | 0.900483i | \(0.643213\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 132.830 | + | 96.5064i | 0.367949 | + | 0.267331i | ||||
\(362\) | 268.685i | 0.742224i | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −12.6209 | −0.0346727 | ||||||||
\(365\) | 193.977 | − | 266.987i | 0.531445 | − | 0.731471i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 51.0462 | + | 157.104i | 0.139090 | + | 0.428076i | 0.996204 | − | 0.0870514i | \(-0.0277444\pi\) |
−0.857113 | + | 0.515128i | \(0.827744\pi\) | |||||||
\(368\) | −51.5281 | − | 70.9223i | −0.140022 | − | 0.192724i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −44.7227 | − | 137.642i | −0.120872 | − | 0.372006i | ||||
\(371\) | 405.994 | + | 131.915i | 1.09432 | + | 0.355567i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 393.501 | 1.05496 | 0.527481 | − | 0.849567i | \(-0.323136\pi\) | ||||
0.527481 | + | 0.849567i | \(0.323136\pi\) | |||||||
\(374\) | −137.432 | − | 94.5259i | −0.367466 | − | 0.252743i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −255.396 | − | 185.556i | −0.679245 | − | 0.493500i | ||||
\(377\) | −394.544 | − | 128.195i | −1.04654 | − | 0.340040i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −153.017 | + | 111.173i | −0.403739 | + | 0.293334i | −0.771062 | − | 0.636760i | \(-0.780274\pi\) |
0.367323 | + | 0.930093i | \(0.380274\pi\) | |||||||
\(380\) | 11.1155 | + | 15.2992i | 0.0292513 | + | 0.0402610i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 148.580 | − | 457.282i | 0.388953 | − | 1.19707i | ||||
\(383\) | 275.626 | − | 379.367i | 0.719651 | − | 0.990514i | −0.279885 | − | 0.960034i | \(-0.590296\pi\) |
0.999535 | − | 0.0304804i | \(-0.00970371\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −521.957 | + | 184.628i | −1.35573 | + | 0.479553i | ||||
\(386\) | − | 30.9168i | − | 0.0800954i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −2.26934 | + | 6.98431i | −0.00584881 | + | 0.0180008i | ||||
\(389\) | 432.711 | − | 140.596i | 1.11237 | − | 0.361430i | 0.305518 | − | 0.952186i | \(-0.401170\pi\) |
0.806850 | + | 0.590756i | \(0.201170\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 35.4990 | − | 25.7915i | 0.0907903 | − | 0.0659630i | ||||
\(392\) | 167.412 | − | 54.3954i | 0.427071 | − | 0.138764i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 151.661 | + | 110.188i | 0.384926 | + | 0.279665i | ||||
\(395\) | 593.994i | 1.50378i | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 168.638 | 0.424782 | 0.212391 | − | 0.977185i | \(-0.431875\pi\) | ||||
0.212391 | + | 0.977185i | \(0.431875\pi\) | |||||||
\(398\) | −75.3178 | + | 103.666i | −0.189241 | + | 0.260468i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 322.092 | + | 991.298i | 0.805231 | + | 2.47825i | ||||
\(401\) | 41.0252 | + | 56.4664i | 0.102307 | + | 0.140814i | 0.857101 | − | 0.515148i | \(-0.172263\pi\) |
−0.754794 | + | 0.655962i | \(0.772263\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 79.9253 | + | 245.985i | 0.198326 | + | 0.610384i | ||||
\(404\) | −7.85011 | − | 2.55066i | −0.0194310 | − | 0.00631350i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −247.500 | −0.609606 | ||||||||
\(407\) | −23.9450 | + | 80.7325i | −0.0588328 | + | 0.198360i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −448.126 | − | 325.583i | −1.09566 | − | 0.796046i | −0.115317 | − | 0.993329i | \(-0.536788\pi\) |
−0.980347 | + | 0.197283i | \(0.936788\pi\) | |||||||
\(410\) | −327.151 | − | 106.298i | −0.797929 | − | 0.259263i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 10.9608 | − | 7.96349i | 0.0266039 | − | 0.0193289i | ||||
\(413\) | −0.00133484 | − | 0.00183724i | −3.23205e−6 | − | 4.44853e-6i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −193.969 | + | 596.975i | −0.467395 | + | 1.43849i | ||||
\(416\) | 22.6818 | − | 31.2188i | 0.0545235 | − | 0.0750452i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 7.82980 | + | 303.085i | 0.0187316 | + | 0.725083i | ||||
\(419\) | 307.485i | 0.733855i | 0.930250 | + | 0.366927i | \(0.119590\pi\) | ||||
−0.930250 | + | 0.366927i | \(0.880410\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.09596 | + | 3.37301i | −0.00260322 | + | 0.00801189i | −0.952350 | − | 0.305008i | \(-0.901341\pi\) |
0.949746 | + | 0.313020i | \(0.101341\pi\) | |||||||
\(422\) | 514.071 | − | 167.032i | 1.21818 | − | 0.395810i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −537.057 | + | 390.195i | −1.26664 | + | 0.920271i | ||||
\(425\) | −496.178 | + | 161.218i | −1.16748 | + | 0.379337i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 20.2264 | + | 14.6953i | 0.0473686 | + | 0.0344153i | ||||
\(428\) | − | 2.57638i | − | 0.00601959i | ||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −1015.12 | −2.36076 | ||||||||
\(431\) | 69.9030 | − | 96.2132i | 0.162188 | − | 0.223232i | −0.720187 | − | 0.693781i | \(-0.755944\pi\) |
0.882374 | + | 0.470548i | \(0.155944\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 61.6340 | + | 189.690i | 0.142342 | + | 0.438083i | 0.996660 | − | 0.0816680i | \(-0.0260247\pi\) |
−0.854318 | + | 0.519751i | \(0.826025\pi\) | |||||||
\(434\) | 90.6999 | + | 124.838i | 0.208986 | + | 0.287644i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 2.19254 | + | 6.74795i | 0.00502876 | + | 0.0154769i | ||||
\(437\) | −75.8532 | − | 24.6462i | −0.173577 | − | 0.0563986i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −7.94474 | −0.0180973 | −0.00904867 | − | 0.999959i | \(-0.502880\pi\) | ||||
−0.00904867 | + | 0.999959i | \(0.502880\pi\) | |||||||
\(440\) | 244.817 | − | 825.421i | 0.556402 | − | 1.87596i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −211.308 | − | 153.524i | −0.478073 | − | 0.347340i | ||||
\(443\) | −446.341 | − | 145.025i | −1.00754 | − | 0.327370i | −0.241666 | − | 0.970359i | \(-0.577694\pi\) |
−0.765875 | + | 0.642989i | \(0.777694\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 720.859 | − | 523.735i | 1.61991 | − | 1.17693i | ||||
\(446\) | −211.223 | − | 290.724i | −0.473595 | − | 0.651847i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 106.810 | − | 328.727i | 0.238415 | − | 0.733765i | ||||
\(449\) | −434.087 | + | 597.469i | −0.966786 | + | 1.33067i | −0.0231324 | + | 0.999732i | \(0.507364\pi\) |
−0.943654 | + | 0.330935i | \(0.892636\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 121.787 | + | 158.831i | 0.270037 | + | 0.352176i | ||||
\(452\) | − | 1.37782i | − | 0.00304828i | ||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −152.028 | + | 467.895i | −0.334864 | + | 1.03060i | ||||
\(455\) | −824.515 | + | 267.901i | −1.81212 | + | 0.588794i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 146.584 | − | 106.500i | 0.320753 | − | 0.233041i | −0.415744 | − | 0.909482i | \(-0.636479\pi\) |
0.736497 | + | 0.676441i | \(0.236479\pi\) | |||||||
\(458\) | 654.885 | − | 212.785i | 1.42988 | − | 0.464596i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 6.19984 | + | 4.50445i | 0.0134779 | + | 0.00979228i | ||||
\(461\) | − | 561.409i | − | 1.21781i | −0.793244 | − | 0.608903i | \(-0.791610\pi\) | ||
0.793244 | − | 0.608903i | \(-0.208390\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 379.155 | 0.818909 | 0.409454 | − | 0.912331i | \(-0.365719\pi\) | ||||
0.409454 | + | 0.912331i | \(0.365719\pi\) | |||||||
\(464\) | 218.294 | − | 300.456i | 0.470462 | − | 0.647535i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −221.422 | − | 681.467i | −0.475155 | − | 1.46238i | ||||
\(467\) | −268.209 | − | 369.158i | −0.574324 | − | 0.790489i | 0.418735 | − | 0.908109i | \(-0.362474\pi\) |
−0.993059 | + | 0.117619i | \(0.962474\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −180.699 | − | 556.136i | −0.385287 | − | 1.18579i | ||||
\(470\) | −697.825 | − | 226.737i | −1.48473 | − | 0.482419i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0.00353150 | 7.48199e−6 | ||||||||
\(473\) | 486.652 | + | 334.719i | 1.02886 | + | 0.707651i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 767.181 | + | 557.389i | 1.61512 | + | 1.17345i | ||||
\(476\) | 5.37853 | + | 1.74759i | 0.0112994 | + | 0.00367141i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −385.943 | + | 280.404i | −0.807412 | + | 0.586619i | ||||
\(479\) | −316.414 | − | 435.507i | −0.660573 | − | 0.909201i | 0.338927 | − | 0.940813i | \(-0.389936\pi\) |
−0.999500 | + | 0.0316118i | \(0.989936\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −40.7471 | + | 125.407i | −0.0847134 | + | 0.260721i | ||||
\(482\) | −483.106 | + | 664.938i | −1.00229 | + | 1.37954i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −13.1803 | + | 10.6578i | −0.0272320 | + | 0.0220203i | ||||
\(485\) | 504.452i | 1.04011i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 60.1626 | − | 185.162i | 0.123537 | − | 0.380208i | −0.870095 | − | 0.492885i | \(-0.835942\pi\) |
0.993632 | + | 0.112676i | \(0.0359424\pi\) | |||||||
\(488\) | −36.9757 | + | 12.0141i | −0.0757700 | + | 0.0246192i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 330.995 | − | 240.482i | 0.675500 | − | 0.490780i | ||||
\(491\) | −193.879 | + | 62.9950i | −0.394865 | + | 0.128299i | −0.499717 | − | 0.866188i | \(-0.666563\pi\) |
0.104853 | + | 0.994488i | \(0.466563\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 150.388 | + | 109.264i | 0.305048 | + | 0.221630i | ||||
\(494\) | 474.752i | 0.961037i | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −231.546 | −0.466826 | ||||||||
\(497\) | 306.318 | − | 421.611i | 0.616335 | − | 0.848312i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −264.246 | − | 813.267i | −0.529552 | − | 1.62979i | −0.755135 | − | 0.655569i | \(-0.772429\pi\) |
0.225584 | − | 0.974224i | \(-0.427571\pi\) | |||||||
\(500\) | −33.7487 | − | 46.4511i | −0.0674974 | − | 0.0929022i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 167.677 | + | 516.057i | 0.334018 | + | 1.02800i | ||||
\(503\) | −258.957 | − | 84.1401i | −0.514824 | − | 0.167277i | 0.0400708 | − | 0.999197i | \(-0.487242\pi\) |
−0.554895 | + | 0.831920i | \(0.687242\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −566.986 | −1.12274 | ||||||||
\(506\) | 40.9718 | + | 115.830i | 0.0809719 | + | 0.228914i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −24.4206 | − | 17.7426i | −0.0480720 | − | 0.0349264i | ||||
\(509\) | 897.352 | + | 291.567i | 1.76297 | + | 0.572824i | 0.997501 | − | 0.0706498i | \(-0.0225073\pi\) |
0.765468 | + | 0.643473i | \(0.222507\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −145.126 | + | 105.440i | −0.284004 | + | 0.206341i | ||||
\(512\) | 315.197 | + | 433.831i | 0.615619 | + | 0.847327i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −97.8660 | + | 301.200i | −0.190401 | + | 0.585993i | ||||
\(515\) | 547.024 | − | 752.914i | 1.06218 | − | 1.46197i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 259.776 | + | 338.793i | 0.502468 | + | 0.655306i | ||||
\(518\) | 78.6685i | 0.151870i | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 416.605 | − | 1282.18i | 0.801163 | − | 2.46573i | ||||
\(521\) | 308.494 | − | 100.236i | 0.592119 | − | 0.192391i | 0.00239665 | − | 0.999997i | \(-0.499237\pi\) |
0.589722 | + | 0.807606i | \(0.299237\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −98.0023 | + | 71.2028i | −0.187385 | + | 0.136143i | −0.677523 | − | 0.735502i | \(-0.736946\pi\) |
0.490138 | + | 0.871645i | \(0.336946\pi\) | |||||||
\(524\) | −22.1942 | + | 7.21135i | −0.0423554 | + | 0.0137621i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −88.1801 | − | 64.0666i | −0.167643 | − | 0.121800i | ||||
\(527\) | − | 115.896i | − | 0.219917i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 496.679 | 0.938902 | ||||||||
\(530\) | −906.913 | + | 1248.26i | −1.71116 | + | 2.35520i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −3.17649 | − | 9.77624i | −0.00597085 | − | 0.0183764i | ||||
\(533\) | 184.217 | + | 253.553i | 0.345623 | + | 0.475709i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −54.6885 | − | 168.314i | −0.102221 | − | 0.314605i | ||||
\(536\) | 864.830 | + | 281.000i | 1.61349 | + | 0.524254i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −114.347 | −0.212540 | ||||||||
\(539\) | −237.974 | + | 6.14776i | −0.441510 | + | 0.0114059i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 482.965 | + | 350.895i | 0.892727 | + | 0.648604i | 0.936588 | − | 0.350433i | \(-0.113966\pi\) |
−0.0438604 | + | 0.999038i | \(0.513966\pi\) | |||||||
\(542\) | 795.808 | + | 258.574i | 1.46828 | + | 0.477073i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −13.9889 | + | 10.1635i | −0.0257149 | + | 0.0186830i | ||||
\(545\) | 286.475 | + | 394.299i | 0.525643 | + | 0.723485i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −104.567 | + | 321.823i | −0.191164 | + | 0.588343i | 0.808836 | + | 0.588035i | \(0.200098\pi\) |
−1.00000 | 0.000308188i | \(0.999902\pi\) | ||||||||
\(548\) | 3.60219 | − | 4.95798i | 0.00657333 | − | 0.00904742i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −37.7256 | − | 1460.32i | −0.0685920 | − | 2.65513i | ||||
\(551\) | − | 337.882i | − | 0.613217i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 99.7746 | − | 307.075i | 0.180424 | − | 0.555289i | ||||
\(554\) | 238.953 | − | 77.6406i | 0.431324 | − | 0.140146i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 11.6814 | − | 8.48706i | 0.0210098 | − | 0.0152645i | ||||
\(557\) | 454.284 | − | 147.606i | 0.815590 | − | 0.265001i | 0.128627 | − | 0.991693i | \(-0.458943\pi\) |
0.686964 | + | 0.726692i | \(0.258943\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 748.249 | + | 543.635i | 1.33855 | + | 0.972513i | ||||
\(560\) | − | 776.116i | − | 1.38592i | ||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −146.168 | −0.260085 | ||||||||
\(563\) | −277.409 | + | 381.820i | −0.492733 | + | 0.678189i | −0.980889 | − | 0.194567i | \(-0.937670\pi\) |
0.488156 | + | 0.872756i | \(0.337670\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −29.2468 | − | 90.0125i | −0.0517643 | − | 0.159314i | ||||
\(566\) | −570.861 | − | 785.722i | −1.00859 | − | 1.38820i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 250.430 | + | 770.745i | 0.440898 | + | 1.35694i | ||||
\(569\) | 122.262 | + | 39.7253i | 0.214871 | + | 0.0698159i | 0.414475 | − | 0.910061i | \(-0.363965\pi\) |
−0.199603 | + | 0.979877i | \(0.563965\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 266.234 | 0.466259 | 0.233130 | − | 0.972446i | \(-0.425103\pi\) | ||||
0.233130 | + | 0.972446i | \(0.425103\pi\) | |||||||
\(572\) | −21.0629 | + | 16.1503i | −0.0368232 | + | 0.0282348i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 151.271 | + | 109.905i | 0.263538 | + | 0.191471i | ||||
\(575\) | 365.476 | + | 118.750i | 0.635610 | + | 0.206522i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −583.296 | + | 423.789i | −1.01091 | + | 0.734470i | −0.964400 | − | 0.264448i | \(-0.914810\pi\) |
−0.0465112 | + | 0.998918i | \(0.514810\pi\) | |||||||
\(578\) | −264.945 | − | 364.665i | −0.458382 | − | 0.630908i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −10.0324 | + | 30.8765i | −0.0172972 | + | 0.0532353i | ||||
\(581\) | 200.551 | − | 276.034i | 0.345182 | − | 0.475102i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 846.366 | − | 299.379i | 1.45174 | − | 0.513514i | ||||
\(584\) | − | 278.957i | − | 0.477667i | ||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −8.26396 | + | 25.4339i | −0.0141023 | + | 0.0434025i | ||||
\(587\) | −391.709 | + | 127.274i | −0.667307 | + | 0.216821i | −0.623030 | − | 0.782198i | \(-0.714098\pi\) |
−0.0442770 | + | 0.999019i | \(0.514098\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −170.426 | + | 123.822i | −0.289348 | + | 0.210224i | ||||
\(590\) | 0.00780637 | − | 0.00253644i | 1.32311e−5 | − | 4.29906e-6i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −95.5008 | − | 69.3854i | −0.161319 | − | 0.117205i | ||||
\(593\) | − | 750.336i | − | 1.26532i | −0.774429 | − | 0.632661i | \(-0.781963\pi\) | ||
0.774429 | − | 0.632661i | \(-0.218037\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 388.472 | 0.652895 | ||||||||
\(596\) | −7.45143 | + | 10.2560i | −0.0125024 | + | 0.0172081i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 59.4514 | + | 182.973i | 0.0994171 | + | 0.305974i | ||||
\(599\) | 319.528 | + | 439.793i | 0.533436 | + | 0.734211i | 0.987649 | − | 0.156682i | \(-0.0500796\pi\) |
−0.454213 | + | 0.890893i | \(0.650080\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −227.497 | − | 700.163i | −0.378530 | − | 1.16500i | −0.941066 | − | 0.338224i | \(-0.890174\pi\) |
0.562535 | − | 0.826773i | \(-0.309826\pi\) | |||||||
\(602\) | 524.785 | + | 170.513i | 0.871735 | + | 0.283244i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 33.6698 | 0.0557447 | ||||||||
\(605\) | −634.830 | + | 976.048i | −1.04931 | + | 1.61330i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −452.759 | − | 328.949i | −0.745896 | − | 0.541925i | 0.148656 | − | 0.988889i | \(-0.452505\pi\) |
−0.894552 | + | 0.446964i | \(0.852505\pi\) | |||||||
\(608\) | 29.8911 | + | 9.71220i | 0.0491630 | + | 0.0159740i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −73.1058 | + | 53.1145i | −0.119846 | + | 0.0870729i | ||||
\(611\) | 392.941 | + | 540.837i | 0.643112 | + | 0.885168i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −33.9655 | + | 104.535i | −0.0554086 | + | 0.170530i | −0.974931 | − | 0.222508i | \(-0.928576\pi\) |
0.919522 | + | 0.393038i | \(0.128576\pi\) | |||||||
\(614\) | −248.592 | + | 342.157i | −0.404872 | + | 0.557259i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −265.210 | + | 385.592i | −0.430535 | + | 0.625961i | ||||
\(617\) | − | 61.1594i | − | 0.0991238i | −0.998771 | − | 0.0495619i | \(-0.984217\pi\) | ||
0.998771 | − | 0.0495619i | \(-0.0157825\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 25.2833 | − | 77.8139i | 0.0408454 | − | 0.125709i | −0.928555 | − | 0.371196i | \(-0.878948\pi\) |
0.969400 | + | 0.245487i | \(0.0789478\pi\) | |||||||
\(620\) | 19.2504 | − | 6.25484i | 0.0310491 | − | 0.0100885i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −143.125 | + | 103.986i | −0.230105 | + | 0.167181i | ||||
\(623\) | −460.632 | + | 149.668i | −0.739377 | + | 0.240238i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −1823.67 | − | 1324.97i | −2.91786 | − | 2.11995i | ||||
\(626\) | 507.406i | 0.810553i | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −4.14700 | −0.00660351 | ||||||||
\(629\) | 34.7297 | − | 47.8014i | 0.0552142 | − | 0.0759958i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 2.87142 | + | 8.83732i | 0.00455058 | + | 0.0140053i | 0.953306 | − | 0.302006i | \(-0.0976563\pi\) |
−0.948755 | + | 0.316011i | \(0.897656\pi\) | |||||||
\(632\) | 295.125 | + | 406.205i | 0.466970 | + | 0.642729i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 63.7726 | + | 196.272i | 0.100588 | + | 0.309577i | ||||
\(635\) | −1972.00 | − | 640.743i | −3.10552 | − | 1.00904i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −372.763 | −0.585185 | ||||||||
\(638\) | −413.051 | + | 316.714i | −0.647415 | + | 0.496417i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 940.933 | + | 683.628i | 1.47021 | + | 1.06817i | ||||
\(641\) | 331.957 | + | 107.859i | 0.517874 | + | 0.168268i | 0.556280 | − | 0.830995i | \(-0.312228\pi\) |
−0.0384062 | + | 0.999262i | \(0.512228\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −733.104 | + | 532.631i | −1.14013 | + | 0.828353i | −0.987137 | − | 0.159874i | \(-0.948891\pi\) |
−0.152993 | + | 0.988227i | \(0.548891\pi\) | |||||||
\(644\) | −2.44848 | − | 3.37005i | −0.00380199 | − | 0.00523299i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 65.7381 | − | 202.321i | 0.101762 | − | 0.313191i | ||||
\(647\) | 33.2345 | − | 45.7434i | 0.0513671 | − | 0.0707007i | −0.782561 | − | 0.622574i | \(-0.786087\pi\) |
0.833928 | + | 0.551874i | \(0.186087\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.00457873 | − | 0.00135804i | −7.05506e−6 | − | 2.09250e-6i | ||||
\(650\) | − | 2287.45i | − | 3.51916i | ||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 9.09423 | − | 27.9892i | 0.0139482 | − | 0.0429282i | ||||
\(653\) | −540.720 | + | 175.691i | −0.828055 | + | 0.269051i | −0.692226 | − | 0.721681i | \(-0.743370\pi\) |
−0.135829 | + | 0.990732i | \(0.543370\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1296.86 | + | 942.227i | −1.97995 | + | 1.43851i | ||||
\(656\) | −266.840 | + | 86.7017i | −0.406769 | + | 0.132167i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 322.666 | + | 234.430i | 0.490374 | + | 0.356277i | ||||
\(659\) | − | 380.801i | − | 0.577847i | −0.957352 | − | 0.288923i | \(-0.906703\pi\) | ||
0.957352 | − | 0.288923i | \(-0.0932973\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 350.773 | 0.530671 | 0.265335 | − | 0.964156i | \(-0.414517\pi\) | ||||
0.265335 | + | 0.964156i | \(0.414517\pi\) | |||||||
\(662\) | 298.783 | − | 411.239i | 0.451333 | − | 0.621207i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 163.960 | + | 504.616i | 0.246927 | + | 0.759965i | ||||
\(665\) | −415.038 | − | 571.250i | −0.624117 | − | 0.859023i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −42.3117 | − | 130.222i | −0.0634358 | − | 0.195235i | ||||
\(668\) | −2.03125 | − | 0.659992i | −0.00304079 | − | 0.000988011i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 2113.53 | 3.15452 | ||||||||
\(671\) | 52.5606 | − | 1.35784i | 0.0783317 | − | 0.00202360i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 390.671 | + | 283.839i | 0.580491 | + | 0.421752i | 0.838901 | − | 0.544284i | \(-0.183198\pi\) |
−0.258410 | + | 0.966035i | \(0.583198\pi\) | |||||||
\(674\) | −687.591 | − | 223.412i | −1.02017 | − | 0.331472i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −14.4711 | + | 10.5139i | −0.0214070 | + | 0.0155531i | ||||
\(677\) | −499.429 | − | 687.405i | −0.737709 | − | 1.01537i | −0.998747 | − | 0.0500409i | \(-0.984065\pi\) |
0.261038 | − | 0.965328i | \(-0.415935\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 84.7340 | − | 260.784i | 0.124792 | − | 0.384071i | ||||
\(680\) | −355.082 | + | 488.728i | −0.522179 | + | 0.718718i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 311.117 | + | 92.2763i | 0.456184 | + | 0.135302i | ||||
\(683\) | 831.602i | 1.21757i | 0.793334 | + | 0.608786i | \(0.208343\pi\) | ||||
−0.793334 | + | 0.608786i | \(0.791657\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 130.087 | − | 400.366i | 0.189908 | − | 0.584475i | ||||
\(686\) | −690.402 | + | 224.325i | −1.00642 | + | 0.327004i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −669.855 | + | 486.678i | −0.973626 | + | 0.707381i | ||||
\(689\) | 1336.97 | − | 434.408i | 1.94045 | − | 0.630491i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −736.820 | − | 535.331i | −1.06631 | − | 0.774719i | −0.0910643 | − | 0.995845i | \(-0.529027\pi\) |
−0.975245 | + | 0.221126i | \(0.929027\pi\) | |||||||
\(692\) | 30.0336i | 0.0434011i | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −819.409 | −1.18070 | ||||||||
\(695\) | 582.989 | − | 802.415i | 0.838833 | − | 1.15455i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −43.3971 | − | 133.563i | −0.0622627 | − | 0.191625i | ||||
\(698\) | −323.149 | − | 444.776i | −0.462964 | − | 0.637216i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 15.3050 | + | 47.1039i | 0.0218643 | + | 0.0672913i | ||||
\(701\) | 856.342 | + | 278.242i | 1.22160 | + | 0.396922i | 0.847665 | − | 0.530532i | \(-0.178008\pi\) |
0.373936 | + | 0.927454i | \(0.378008\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −107.397 | −0.152769 | ||||||||
\(704\) | −242.402 | − | 685.289i | −0.344321 | − | 0.973422i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −529.718 | − | 384.862i | −0.750308 | − | 0.545131i | ||||
\(707\) | 293.112 | + | 95.2379i | 0.414586 | + | 0.134707i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 746.154 | − | 542.113i | 1.05240 | − | 0.764616i | 0.0797356 | − | 0.996816i | \(-0.474592\pi\) |
0.972668 | + | 0.232200i | \(0.0745924\pi\) | |||||||
\(710\) | 1107.15 | + | 1523.86i | 1.55937 | + | 2.14628i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 232.745 | − | 716.315i | 0.326889 | − | 1.00606i | ||||
\(713\) | −50.1776 | + | 69.0635i | −0.0703753 | + | 0.0968632i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1033.21 | + | 1502.19i | −1.44504 | + | 2.10097i | ||||
\(716\) | 28.6606i | 0.0400288i | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −301.593 | + | 928.206i | −0.420045 | + | 1.29277i | ||||
\(719\) | −9.82994 | + | 3.19394i | −0.0136717 | + | 0.00444220i | −0.315845 | − | 0.948811i | \(-0.602288\pi\) |
0.302173 | + | 0.953253i | \(0.402288\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −409.261 | + | 297.346i | −0.567630 | + | 0.412407i | ||||
\(722\) | 306.784 | − | 99.6802i | 0.424909 | − | 0.138061i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −15.4989 | − | 11.2606i | −0.0214074 | − | 0.0155534i | ||||
\(725\) | 1627.99i | 2.24550i | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 119.809 | 0.164799 | 0.0823995 | − | 0.996599i | \(-0.473742\pi\) | ||||
0.0823995 | + | 0.996599i | \(0.473742\pi\) | |||||||
\(728\) | −430.741 | + | 592.864i | −0.591677 | + | 0.814373i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −200.357 | − | 616.635i | −0.274461 | − | 0.844705i | ||||
\(731\) | −243.599 | − | 335.285i | −0.333240 | − | 0.458666i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 393.151 | + | 1210.00i | 0.536359 | + | 1.65074i | 0.740693 | + | 0.671843i | \(0.234497\pi\) |
−0.204334 | + | 0.978901i | \(0.565503\pi\) | |||||||
\(734\) | 308.657 | + | 100.289i | 0.420514 | + | 0.136633i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 12.7364 | 0.0173049 | ||||||||
\(737\) | −1013.23 | − | 696.898i | −1.37480 | − | 0.945588i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 136.706 | + | 99.3227i | 0.184988 | + | 0.134402i | 0.676425 | − | 0.736511i | \(-0.263528\pi\) |
−0.491437 | + | 0.870913i | \(0.663528\pi\) | |||||||
\(740\) | 9.81416 | + | 3.18882i | 0.0132624 | + | 0.00430921i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 678.515 | − | 492.970i | 0.914441 | − | 0.664380i | ||||
\(743\) | 566.208 | + | 779.319i | 0.762057 | + | 1.04888i | 0.997040 | + | 0.0768822i | \(0.0244965\pi\) |
−0.234983 | + | 0.971999i | \(0.575503\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −269.095 | + | 828.190i | −0.361202 | + | 1.11167i | ||||
\(746\) | 454.416 | − | 625.450i | 0.609137 | − | 0.838405i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 11.2125 | − | 3.96611i | 0.0149900 | − | 0.00530229i | ||||
\(749\) | 96.1986i | 0.128436i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −127.573 | + | 392.629i | −0.169871 | + | 0.522808i | −0.999362 | − | 0.0357111i | \(-0.988630\pi\) |
0.829491 | + | 0.558519i | \(0.188630\pi\) | |||||||
\(752\) | −569.180 | + | 184.938i | −0.756889 | + | 0.245928i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −659.380 | + | 479.067i | −0.874509 | + | 0.635368i | ||||
\(755\) | 2199.63 | − | 714.704i | 2.91342 | − | 0.946627i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −729.792 | − | 530.225i | −0.964058 | − | 0.700429i | −0.00996868 | − | 0.999950i | \(-0.503173\pi\) |
−0.954090 | + | 0.299521i | \(0.903173\pi\) | |||||||
\(758\) | 371.596i | 0.490233i | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 1098.04 | 1.44479 | ||||||||
\(761\) | 571.395 | − | 786.458i | 0.750848 | − | 1.03345i | −0.247073 | − | 0.968997i | \(-0.579469\pi\) |
0.997921 | − | 0.0644566i | \(-0.0205314\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −81.8665 | − | 251.959i | −0.107295 | − | 0.330222i | ||||
\(764\) | 20.1511 | + | 27.7356i | 0.0263757 | + | 0.0363031i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −284.691 | − | 876.187i | −0.371659 | − | 1.14385i | ||||
\(767\) | −0.00711243 | − | 0.00231097i | −9.27305e−6 | − | 3.01300e-6i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 1404.29 | 1.82613 | 0.913064 | − | 0.407817i | \(-0.133710\pi\) | ||||
0.913064 | + | 0.407817i | \(0.133710\pi\) | |||||||
\(770\) | −309.300 | + | 1042.83i | −0.401689 | + | 1.35433i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 1.78342 | + | 1.29573i | 0.00231013 | + | 0.00167841i | ||||
\(773\) | −138.598 | − | 45.0331i | −0.179298 | − | 0.0582576i | 0.217992 | − | 0.975951i | \(-0.430049\pi\) |
−0.397290 | + | 0.917693i | \(0.630049\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 821.147 | − | 596.599i | 1.05955 | − | 0.769805i | ||||
\(776\) | 250.636 | + | 344.971i | 0.322985 | + | 0.444550i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 276.225 | − | 850.133i | 0.355045 | − | 1.09272i | ||||
\(779\) | −150.040 | + | 206.512i | −0.192605 | + | 0.265099i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −28.3035 | − | 1095.60i | −0.0362401 | − | 1.40282i | ||||
\(782\) | − | 86.2080i | − | 0.110240i | ||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 103.122 | − | 317.376i | 0.131533 | − | 0.404816i | ||||
\(785\) | −270.921 | + | 88.0277i | −0.345123 | + | 0.112137i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 740.082 | − | 537.701i | 0.940383 | − | 0.683228i | −0.00812966 | − | 0.999967i | \(-0.502588\pi\) |
0.948513 | + | 0.316739i | \(0.102588\pi\) | |||||||
\(788\) | −12.7123 | + | 4.13047i | −0.0161323 | + | 0.00524171i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 944.124 | + | 685.946i | 1.19509 | + | 0.868286i | ||||
\(791\) | 51.4460i | 0.0650392i | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 82.3310 | 0.103822 | ||||||||
\(794\) | 194.744 | − | 268.042i | 0.245269 | − | 0.337584i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −2.82334 | − | 8.68934i | −0.00354691 | − | 0.0109163i | ||||
\(797\) | 219.280 | + | 301.813i | 0.275132 | + | 0.378687i | 0.924114 | − | 0.382117i | \(-0.124805\pi\) |
−0.648982 | + | 0.760804i | \(0.724805\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −92.5677 | − | 284.894i | −0.115854 | − | 0.356563i | ||||
\(800\) | −144.021 | − | 46.7954i | −0.180027 | − | 0.0584942i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 137.126 | 0.170981 | ||||||||
\(803\) | −107.273 | + | 361.680i | −0.133590 | + | 0.450410i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −231.494 | − | 168.190i | −0.287570 | − | 0.208932i | ||||
\(806\) | 483.278 | + | 157.027i | 0.599600 | + | 0.194822i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −387.735 | + | 281.706i | −0.479870 | + | 0.348646i | ||||
\(809\) | −927.680 | − | 1276.84i | −1.14670 | − | 1.57830i | −0.751546 | − | 0.659680i | \(-0.770692\pi\) |
−0.395153 | − | 0.918615i | \(-0.629308\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 222.549 | − | 684.936i | 0.274413 | − | 0.844558i | −0.714960 | − | 0.699165i | \(-0.753555\pi\) |
0.989374 | − | 0.145393i | \(-0.0464447\pi\) | |||||||
\(812\) | 10.3728 | − | 14.2769i | 0.0127744 | − | 0.0175824i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 100.668 | + | 131.289i | 0.123671 | + | 0.161289i | ||||
\(815\) | − | 2021.56i | − | 2.48044i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −232.781 | + | 716.426i | −0.284921 | + | 0.876898i | ||||
\(818\) | −1034.99 | + | 336.290i | −1.26527 | + | 0.411113i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 19.8427 | − | 14.4166i | 0.0241984 | − | 0.0175812i | ||||
\(821\) | −887.035 | + | 288.215i | −1.08043 | + | 0.351054i | −0.794542 | − | 0.607209i | \(-0.792289\pi\) |
−0.285890 | + | 0.958263i | \(0.592289\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −403.890 | − | 293.443i | −0.490753 | − | 0.356553i | 0.314721 | − | 0.949184i | \(-0.398089\pi\) |
−0.805474 | + | 0.592631i | \(0.798089\pi\) | |||||||
\(824\) | − | 786.670i | − | 0.954697i | ||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −0.00446168 | −5.40155e−6 | ||||||||
\(827\) | −428.774 | + | 590.156i | −0.518469 | + | 0.713611i | −0.985319 | − | 0.170726i | \(-0.945389\pi\) |
0.466850 | + | 0.884337i | \(0.345389\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −457.435 | − | 1407.84i | −0.551792 | − | 1.69824i | −0.704269 | − | 0.709934i | \(-0.748725\pi\) |
0.152477 | − | 0.988307i | \(-0.451275\pi\) | |||||||
\(830\) | 724.866 | + | 997.692i | 0.873332 | + | 1.20204i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −351.734 | − | 1082.52i | −0.422757 | − | 1.30111i | ||||
\(833\) | 158.857 | + | 51.6158i | 0.190705 | + | 0.0619638i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −146.710 | −0.175700 | ||||||||
\(836\) | −17.8114 | − | 12.2507i | −0.0213055 | − | 0.0146539i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 488.732 | + | 355.085i | 0.583212 | + | 0.423729i | ||||
\(839\) | 932.042 | + | 302.839i | 1.11090 | + | 0.360952i | 0.806286 | − | 0.591525i | \(-0.201474\pi\) |
0.304609 | + | 0.952477i | \(0.401474\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −211.101 | + | 153.374i | −0.251012 | + | 0.182371i | ||||
\(842\) | 4.09561 | + | 5.63712i | 0.00486414 | + | 0.00669492i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −11.9097 | + | 36.6542i | −0.0141110 | + | 0.0434292i | ||||
\(845\) | −722.214 | + | 994.042i | −0.854691 | + | 1.17638i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 492.134 | − | 397.949i | 0.581032 | − | 0.469834i | ||||
\(848\) | 1258.49i | 1.48407i | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −316.740 | + | 974.825i | −0.372635 | + | 1.14685i | ||||
\(851\) | −41.3914 | + | 13.4489i | −0.0486385 | + | 0.0158036i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 1124.90 | − | 817.288i | 1.31876 | − | 0.958134i | 0.318812 | − | 0.947818i | \(-0.396716\pi\) |
0.999947 | − | 0.0103159i | \(-0.00328372\pi\) | |||||||
\(854\) | 46.7150 | − | 15.1786i | 0.0547014 | − | 0.0177735i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −121.025 | − | 87.9300i | −0.141385 | − | 0.102722i | ||||
\(857\) | − | 1044.64i | − | 1.21895i | −0.792804 | − | 0.609477i | \(-0.791379\pi\) | ||
0.792804 | − | 0.609477i | \(-0.208621\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 480.571 | 0.559454 | 0.279727 | − | 0.960080i | \(-0.409756\pi\) | ||||
0.279727 | + | 0.960080i | \(0.409756\pi\) | |||||||
\(860\) | 42.5441 | − | 58.5569i | 0.0494699 | − | 0.0680894i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −72.2018 | − | 222.214i | −0.0837608 | − | 0.257789i | ||||
\(863\) | 383.286 | + | 527.547i | 0.444132 | + | 0.611295i | 0.971124 | − | 0.238575i | \(-0.0766804\pi\) |
−0.526992 | + | 0.849870i | \(0.676680\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 637.518 | + | 1962.08i | 0.737014 | + | 2.26830i | ||||
\(866\) | 372.678 | + | 121.090i | 0.430344 | + | 0.139827i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −11.0024 | −0.0126756 | ||||||||
\(869\) | −226.436 | − | 640.151i | −0.260571 | − | 0.736653i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −1557.88 | − | 1131.87i | −1.78861 | − | 1.29950i | ||||
\(872\) | 391.814 | + | 127.308i | 0.449328 | + | 0.145995i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −126.769 | + | 92.1032i | −0.145045 | + | 0.105381i | ||||
\(875\) | 1260.13 | + | 1734.42i | 1.44015 | + | 1.98219i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −107.579 | + | 331.093i | −0.122667 | + | 0.377530i | −0.993469 | − | 0.114104i | \(-0.963600\pi\) |
0.870802 | + | 0.491634i | \(0.163600\pi\) | |||||||
\(878\) | −9.17460 | + | 12.6278i | −0.0104494 | + | 0.0143824i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −993.160 | − | 1295.25i | −1.12859 | − | 1.47188i | ||||
\(881\) | 81.0204i | 0.0919641i | 0.998942 | + | 0.0459821i | \(0.0146417\pi\) | ||||
−0.998942 | + | 0.0459821i | \(0.985358\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 301.483 | − | 927.871i | 0.341431 | − | 1.05082i | −0.622036 | − | 0.782989i | \(-0.713694\pi\) |
0.963467 | − | 0.267827i | \(-0.0863057\pi\) | |||||||
\(884\) | 17.7119 | − | 5.75496i | 0.0200361 | − | 0.00651013i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −745.945 | + | 541.961i | −0.841924 | + | 0.611694i | ||||
\(887\) | −1459.07 | + | 474.081i | −1.64495 | + | 0.534477i | −0.977637 | − | 0.210299i | \(-0.932556\pi\) |
−0.667314 | + | 0.744776i | \(0.732556\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 911.831 | + | 662.484i | 1.02568 | + | 0.745201i | ||||
\(890\) | − | 1750.58i | − | 1.96694i | ||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 25.6227 | 0.0287250 | ||||||||
\(893\) | −320.040 | + | 440.497i | −0.358387 | + | 0.493278i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 608.375 | + | 1872.38i | 0.679748 | + | 2.09205i | ||||
\(896\) | −371.600 | − | 511.463i | −0.414732 | − | 0.570829i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 448.363 | + | 1379.92i | 0.499290 | + | 1.53666i | ||||
\(899\) | −343.950 | − | 111.756i | −0.382592 | − | 0.124312i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −629.917 | −0.699131 | ||||||||
\(902\) | 393.094 | − | 10.1551i | 0.435803 | − | 0.0112584i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −64.7231 | − | 47.0241i | −0.0715963 | − | 0.0520178i | ||||
\(905\) | −1251.57 | − | 406.659i | −1.38295 | − | 0.449346i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −841.629 | + | 611.479i | −0.927926 | + | 0.674178i | −0.945484 | − | 0.325668i | \(-0.894411\pi\) |
0.0175578 | + | 0.999846i | \(0.494411\pi\) | |||||||
\(908\) | −20.6187 | − | 28.3792i | −0.0227078 | − | 0.0312547i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −526.336 | + | 1619.90i | −0.578392 | + | 1.78011i | ||||
\(911\) | −219.624 | + | 302.287i | −0.241080 | + | 0.331819i | −0.912362 | − | 0.409383i | \(-0.865744\pi\) |
0.671282 | + | 0.741202i | \(0.265744\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −18.5307 | − | 717.307i | −0.0202965 | − | 0.785659i | ||||
\(914\) | − | 355.974i | − | 0.389468i | ||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −15.1720 | + | 46.6946i | −0.0165633 | + | 0.0509766i | ||||
\(917\) | 828.702 | − | 269.262i | 0.903710 | − | 0.293633i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −3.84227 | + | 2.79157i | −0.00418092 | + | 0.00303762i | −0.589874 | − | 0.807495i | \(-0.700822\pi\) |
0.585693 | + | 0.810533i | \(0.300822\pi\) | |||||||
\(920\) | 423.192 | − | 137.503i | 0.459991 | − | 0.149460i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −892.331 | − | 648.316i | −0.967821 | − | 0.703163i | ||||
\(923\) | − | 1716.16i | − | 1.85932i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 517.460 | 0.559416 | ||||||||
\(926\) | 437.849 | − | 602.647i | 0.472839 | − | 0.650807i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 16.6736 | + | 51.3159i | 0.0179672 | + | 0.0552974i | ||||
\(929\) | −290.209 | − | 399.438i | −0.312388 | − | 0.429966i | 0.623736 | − | 0.781635i | \(-0.285614\pi\) |
−0.936124 | + | 0.351670i | \(0.885614\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −93.8192 | − | 288.746i | −0.100772 | − | 0.310146i | ||||
\(932\) | 48.5899 | + | 15.7878i | 0.0521351 | + | 0.0169397i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −896.487 | −0.959836 | ||||||||
\(935\) | 648.318 | − | 497.110i | 0.693389 | − | 0.531668i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 475.006 | + | 345.112i | 0.506944 | + | 0.368316i | 0.811663 | − | 0.584126i | \(-0.198563\pi\) |
−0.304719 | + | 0.952442i | \(0.598563\pi\) | |||||||
\(938\) | −1092.62 | − | 355.014i | −1.16484 | − | 0.378480i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 42.3252 | − | 30.7511i | 0.0450268 | − | 0.0327139i | ||||
\(941\) | 626.791 | + | 862.704i | 0.666090 | + | 0.916794i | 0.999664 | − | 0.0259296i | \(-0.00825458\pi\) |
−0.333574 | + | 0.942724i | \(0.608255\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −31.9656 | + | 98.3799i | −0.0338977 | + | 0.104326i | ||||
\(944\) | 0.00393518 | − | 0.00541632i | 4.16863e−6 | − | 5.73762e-6i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 1094.01 | − | 386.975i | 1.15645 | − | 0.409064i | ||||
\(947\) | − | 198.618i | − | 0.209734i | −0.994486 | − | 0.104867i | \(-0.966558\pi\) | ||
0.994486 | − | 0.104867i | \(-0.0334416\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −182.546 | + | 561.819i | −0.192356 | + | 0.592012i | ||||
\(950\) | 1771.88 | − | 575.720i | 1.86514 | − | 0.606021i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 265.658 | − | 193.012i | 0.279052 | − | 0.202743i | ||||
\(953\) | −1059.71 | + | 344.322i | −1.11198 | + | 0.361303i | −0.806700 | − | 0.590961i | \(-0.798749\pi\) |
−0.305276 | + | 0.952264i | \(0.598749\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 1905.20 | + | 1384.21i | 1.99497 | + | 1.44943i | ||||
\(956\) | − | 34.0147i | − | 0.0355802i | ||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −1057.61 | −1.10398 | ||||||||
\(959\) | −134.501 | + | 185.124i | −0.140251 | + | 0.193039i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −227.289 | − | 699.524i | −0.236513 | − | 0.727913i | ||||
\(962\) | 152.273 | + | 209.586i | 0.158288 | + | 0.217864i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −18.1095 | − | 55.7354i | −0.0187858 | − | 0.0578168i | ||||
\(965\) | 144.014 | + | 46.7930i | 0.149237 | + | 0.0484902i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −983.820 | −1.01739 | −0.508697 | − | 0.860945i | \(-0.669873\pi\) | ||||
−0.508697 | + | 0.860945i | \(0.669873\pi\) | |||||||
\(968\) | 50.8172 | + | 982.887i | 0.0524971 | + | 1.01538i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 801.801 | + | 582.542i | 0.826599 | + | 0.600559i | ||||
\(971\) | 110.243 | + | 35.8200i | 0.113535 | + | 0.0368898i | 0.365234 | − | 0.930916i | \(-0.380989\pi\) |
−0.251698 | + | 0.967806i | \(0.580989\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −436.169 | + | 316.895i | −0.448272 | + | 0.325689i | ||||
\(974\) | −224.829 | − | 309.450i | −0.230830 | − | 0.317711i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −22.7761 | + | 70.0978i | −0.0233362 | + | 0.0718215i | ||||
\(977\) | −67.1734 | + | 92.4562i | −0.0687547 | + | 0.0946328i | −0.842009 | − | 0.539463i | \(-0.818627\pi\) |
0.773255 | + | 0.634095i | \(0.218627\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −577.222 | + | 839.230i | −0.589603 | + | 0.857232i | ||||
\(980\) | 29.1719i | 0.0297673i | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −123.764 | + | 380.907i | −0.126033 | + | 0.387889i | ||||
\(983\) | −970.714 | + | 315.404i | −0.987502 | + | 0.320859i | −0.757861 | − | 0.652417i | \(-0.773755\pi\) |
−0.229641 | + | 0.973275i | \(0.573755\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −742.809 | + | 539.682i | −0.754121 | + | 0.547901i | ||||
\(986\) | 347.338 | − | 112.857i | 0.352270 | − | 0.114459i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −27.3858 | − | 19.8970i | −0.0277185 | − | 0.0201386i | ||||
\(989\) | 305.265i | 0.308661i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 544.638 | 0.549584 | 0.274792 | − | 0.961504i | \(-0.411391\pi\) | ||||
0.274792 | + | 0.961504i | \(0.411391\pi\) | |||||||
\(992\) | 19.7732 | − | 27.2155i | 0.0199327 | − | 0.0274350i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −316.392 | − | 973.755i | −0.318302 | − | 0.979632i | ||||
\(995\) | −368.894 | − | 507.739i | −0.370748 | − | 0.510291i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 386.146 | + | 1188.43i | 0.387308 | + | 1.19201i | 0.934792 | + | 0.355195i | \(0.115585\pi\) |
−0.547485 | + | 0.836816i | \(0.684415\pi\) | |||||||
\(998\) | −1597.80 | − | 519.156i | −1.60100 | − | 0.520196i | ||||
\(999\) | 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 | 99.3.l.a.26.6 | yes | 32 | |
3.2 | odd | 2 | inner | 99.3.l.a.26.3 | ✓ | 32 | |
11.3 | even | 5 | inner | 99.3.l.a.80.3 | yes | 32 | |
11.5 | even | 5 | 1089.3.b.i.485.12 | 16 | |||
11.6 | odd | 10 | 1089.3.b.j.485.5 | 16 | |||
33.5 | odd | 10 | 1089.3.b.i.485.5 | 16 | |||
33.14 | odd | 10 | inner | 99.3.l.a.80.6 | yes | 32 | |
33.17 | even | 10 | 1089.3.b.j.485.12 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.3.l.a.26.3 | ✓ | 32 | 3.2 | odd | 2 | inner | |
99.3.l.a.26.6 | yes | 32 | 1.1 | even | 1 | trivial | |
99.3.l.a.80.3 | yes | 32 | 11.3 | even | 5 | inner | |
99.3.l.a.80.6 | yes | 32 | 33.14 | odd | 10 | inner | |
1089.3.b.i.485.5 | 16 | 33.5 | odd | 10 | |||
1089.3.b.i.485.12 | 16 | 11.5 | even | 5 | |||
1089.3.b.j.485.5 | 16 | 11.6 | odd | 10 | |||
1089.3.b.j.485.12 | 16 | 33.17 | even | 10 |