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 | 26.3 | ||
Character | \(\chi\) | \(=\) | 99.26 |
Dual form | 99.3.l.a.80.3 |
$q$-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 | −0.993407 | − | 0.114637i | \(-0.963429\pi\) |
0.416006 | + | 0.909362i | \(0.363429\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.0432885 | + | 0.133228i | 0.0108221 | + | 0.0333071i | ||||
\(5\) | −5.65603 | − | 7.78486i | −1.13121 | − | 1.55697i | −0.785758 | − | 0.618533i | \(-0.787727\pi\) |
−0.345448 | − | 0.938438i | \(-0.612273\pi\) | |||||||
\(6\) | 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 | 0.654464 | − | 0.756093i | \(-0.272894\pi\) |
−0.921328 | + | 0.388787i | \(0.872894\pi\) | |||||||
\(18\) | 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 | \(0.0394407\pi\) | ||||
−0.992333 | + | 0.123590i | \(0.960559\pi\) | |||||||
\(24\) | 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 | −0.676042 | − | 0.736863i | \(-0.736306\pi\) |
−0.113812 | + | 0.993502i | \(0.536306\pi\) | |||||||
\(30\) | 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 | 0.512347 | − | 0.858778i | \(-0.328776\pi\) |
−0.0902795 | + | 0.995916i | \(0.528776\pi\) | |||||||
\(42\) | 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 | 0.674125 | − | 0.738617i | \(-0.264521\pi\) |
0.111231 | + | 0.993795i | \(0.464521\pi\) | |||||||
\(48\) | 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 | \(-0.520284\pi\) |
0.968805 | − | 0.247825i | \(-0.0797158\pi\) | |||||||
\(54\) | 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 | −0.309020 | − | 0.951055i | \(-0.600001\pi\) |
0.309013 | + | 0.951058i | \(0.400001\pi\) | |||||||
\(60\) | 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 | \(-0.952449\pi\) |
0.164029 | − | 0.986456i | \(-0.447551\pi\) | |||||||
\(72\) | 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 | 0.512960 | − | 0.858413i | \(-0.328549\pi\) |
−0.974912 | + | 0.222589i | \(0.928549\pi\) | |||||||
\(84\) | 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 | \(0.174147\pi\) | ||||
−0.854038 | + | 0.520211i | \(0.825853\pi\) | |||||||
\(90\) | 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 | −0.602381 | − | 0.798209i | \(-0.705781\pi\) |
0.945288 | + | 0.326238i | \(0.105781\pi\) | |||||||
\(102\) | 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 | 0.389610 | − | 0.920980i | \(-0.372610\pi\) |
−0.226138 | + | 0.974095i | \(0.572610\pi\) | |||||||
\(108\) | 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 | 0.350115 | − | 0.936707i | \(-0.386143\pi\) |
−0.267334 | + | 0.963604i | \(0.586143\pi\) | |||||||
\(114\) | 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 | \(-0.780657\pi\) | ||
0.771827 | − | 0.635832i | \(-0.219343\pi\) | |||||||
\(132\) | 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 | 0.892487 | − | 0.451074i | \(-0.148959\pi\) |
−0.704790 | + | 0.709416i | \(0.748959\pi\) | |||||||
\(138\) | 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 | 0.592313 | − | 0.805708i | \(-0.298215\pi\) |
−0.949309 | + | 0.314345i | \(0.898215\pi\) | |||||||
\(150\) | 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 | −0.781343 | − | 0.624102i | \(-0.785465\pi\) |
0.835005 | + | 0.550243i | \(0.185465\pi\) | |||||||
\(168\) | 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 | −0.346772 | − | 0.937950i | \(-0.612722\pi\) |
−0.831857 | + | 0.554990i | \(0.812722\pi\) | |||||||
\(174\) | 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 | −0.289943 | − | 0.957044i | \(-0.593636\pi\) |
−0.797105 | + | 0.603840i | \(0.793636\pi\) | |||||||
\(180\) | 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 | −0.846573 | − | 0.532272i | \(-0.821338\pi\) |
−0.372030 | + | 0.928221i | \(0.621338\pi\) | |||||||
\(192\) | 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 | \(-0.922139\pi\) | ||
0.970232 | − | 0.242176i | \(-0.0778610\pi\) | |||||||
\(198\) | 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 | 0.266809 | − | 0.963749i | \(-0.414031\pi\) |
0.782331 | + | 0.622863i | \(0.214031\pi\) | |||||||
\(228\) | 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 | \(0.486129\pi\) |
−0.963616 | + | 0.267292i | \(0.913871\pi\) | |||||||
\(234\) | 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 | 0.749297 | − | 0.662234i | \(-0.230391\pi\) |
0.216943 | + | 0.976184i | \(0.430391\pi\) | |||||||
\(240\) | 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 | −0.352188 | − | 0.935929i | \(-0.614562\pi\) |
0.998954 | + | 0.0457326i | \(0.0145622\pi\) | |||||||
\(252\) | 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 | 0.00483877 | − | 0.999988i | \(-0.498460\pi\) |
0.591693 | + | 0.806163i | \(0.298460\pi\) | |||||||
\(258\) | 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 | \(0.0336354\pi\) | ||||
−0.994422 | + | 0.105472i | \(0.966365\pi\) | |||||||
\(264\) | 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 | 0.867856 | − | 0.496815i | \(-0.165497\pi\) |
−0.740682 | + | 0.671856i | \(0.765497\pi\) | |||||||
\(270\) | 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 | 0.879709 | − | 0.475513i | \(-0.157738\pi\) |
−0.724085 | + | 0.689711i | \(0.757738\pi\) | |||||||
\(282\) | 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 | −0.286842 | − | 0.957978i | \(-0.592606\pi\) |
0.331025 | + | 0.943622i | \(0.392606\pi\) | |||||||
\(294\) | 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 | 0.443446 | − | 0.896301i | \(-0.353756\pi\) |
−0.168077 | + | 0.985774i | \(0.553756\pi\) | |||||||
\(312\) | 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 | −0.700451 | − | 0.713701i | \(-0.747018\pi\) |
0.895221 | + | 0.445623i | \(0.147018\pi\) | |||||||
\(318\) | 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 | \(0.00521852\pi\) |
−0.293384 | + | 0.955995i | \(0.594781\pi\) | |||||||
\(348\) | 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 | \(0.156488\pi\) | ||||
−0.881569 | + | 0.472056i | \(0.843512\pi\) | |||||||
\(354\) | 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 | 0.434891 | − | 0.900483i | \(-0.356787\pi\) |
0.881125 | + | 0.472883i | \(0.156787\pi\) | |||||||
\(360\) | 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 | \(0.409704\pi\) |
−0.999535 | + | 0.0304804i | \(0.990296\pi\) | |||||||
\(384\) | 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 | −0.806850 | − | 0.590756i | \(-0.798830\pi\) |
−0.305518 | + | 0.952186i | \(0.598830\pi\) | |||||||
\(390\) | 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 | 0.754794 | − | 0.655962i | \(-0.227737\pi\) |
−0.857101 | + | 0.515148i | \(0.827737\pi\) | |||||||
\(402\) | 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 | \(-0.880410\pi\) | ||
0.930250 | − | 0.366927i | \(-0.119590\pi\) | |||||||
\(420\) | 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 | −0.882374 | − | 0.470548i | \(-0.844056\pi\) |
0.720187 | + | 0.693781i | \(0.244056\pi\) | |||||||
\(432\) | 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 | 0.765875 | − | 0.642989i | \(-0.222306\pi\) |
0.241666 | + | 0.970359i | \(0.422306\pi\) | |||||||
\(444\) | 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 | \(-0.492636\pi\) |
0.943654 | − | 0.330935i | \(-0.107364\pi\) | |||||||
\(450\) | 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 | \(0.208390\pi\) | ||||
−0.793244 | + | 0.608903i | \(0.791610\pi\) | |||||||
\(462\) | 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 | 0.993059 | − | 0.117619i | \(-0.0375263\pi\) |
−0.418735 | + | 0.908109i | \(0.637526\pi\) | |||||||
\(468\) | 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 | 0.999500 | − | 0.0316118i | \(-0.0100640\pi\) |
−0.338927 | + | 0.940813i | \(0.610064\pi\) | |||||||
\(480\) | 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 | −0.104853 | − | 0.994488i | \(-0.533437\pi\) |
0.499717 | + | 0.866188i | \(0.333437\pi\) | |||||||
\(492\) | 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 | 0.554895 | − | 0.831920i | \(-0.312758\pi\) |
−0.0400708 | + | 0.999197i | \(0.512758\pi\) | |||||||
\(504\) | 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 | −0.765468 | − | 0.643473i | \(-0.777493\pi\) |
−0.997501 | + | 0.0706498i | \(0.977493\pi\) | |||||||
\(510\) | 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 | −0.589722 | − | 0.807606i | \(-0.700763\pi\) |
−0.00239665 | + | 0.999997i | \(0.500763\pi\) | |||||||
\(522\) | 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 | −0.686964 | − | 0.726692i | \(-0.741057\pi\) |
−0.128627 | + | 0.991693i | \(0.541057\pi\) | |||||||
\(558\) | 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 | −0.488156 | − | 0.872756i | \(-0.662330\pi\) |
0.980889 | + | 0.194567i | \(0.0623303\pi\) | |||||||
\(564\) | 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 | 0.199603 | − | 0.979877i | \(-0.436035\pi\) |
−0.414475 | + | 0.910061i | \(0.636035\pi\) | |||||||
\(570\) | 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 | 0.0442770 | − | 0.999019i | \(-0.485902\pi\) |
0.623030 | + | 0.782198i | \(0.285902\pi\) | |||||||
\(588\) | 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 | \(0.218037\pi\) | ||||
−0.774429 | + | 0.632661i | \(0.781963\pi\) | |||||||
\(594\) | 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 | 0.454213 | − | 0.890893i | \(-0.349920\pi\) |
−0.987649 | + | 0.156682i | \(0.949920\pi\) | |||||||
\(600\) | 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 | \(0.0157825\pi\) | ||||
−0.998771 | + | 0.0495619i | \(0.984217\pi\) | |||||||
\(618\) | 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 | 0.0384062 | − | 0.999262i | \(-0.487772\pi\) |
−0.556280 | + | 0.830995i | \(0.687772\pi\) | |||||||
\(642\) | 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 | −0.833928 | − | 0.551874i | \(-0.813913\pi\) |
0.782561 | + | 0.622574i | \(0.213913\pi\) | |||||||
\(648\) | 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 | 0.135829 | − | 0.990732i | \(-0.456630\pi\) |
0.692226 | + | 0.721681i | \(0.256630\pi\) | |||||||
\(654\) | 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 | \(0.0932973\pi\) | ||||
−0.957352 | + | 0.288923i | \(0.906703\pi\) | |||||||
\(660\) | 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 | \(0.0159352\pi\) |
−0.261038 | + | 0.965328i | \(0.584065\pi\) | |||||||
\(678\) | 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 | \(-0.791657\pi\) | ||
0.793334 | − | 0.608786i | \(-0.208343\pi\) | |||||||
\(684\) | 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 | −0.373936 | − | 0.927454i | \(-0.621992\pi\) |
−0.847665 | + | 0.530532i | \(0.821992\pi\) | |||||||
\(702\) | 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 | −0.302173 | − | 0.953253i | \(-0.597712\pi\) |
0.315845 | + | 0.948811i | \(0.397712\pi\) | |||||||
\(720\) | 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 | \(-0.975503\pi\) |
0.234983 | − | 0.971999i | \(-0.424497\pi\) | |||||||
\(744\) | 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 | \(0.420531\pi\) |
−0.997921 | + | 0.0644566i | \(0.979469\pi\) | |||||||
\(762\) | 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 | 0.397290 | − | 0.917693i | \(-0.369951\pi\) |
−0.217992 | + | 0.975951i | \(0.569951\pi\) | |||||||
\(774\) | 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 | 0.648982 | − | 0.760804i | \(-0.275195\pi\) |
−0.924114 | + | 0.382117i | \(0.875195\pi\) | |||||||
\(798\) | 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 | \(0.229308\pi\) |
0.395153 | + | 0.918615i | \(0.370692\pi\) | |||||||
\(810\) | 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 | 0.285890 | − | 0.958263i | \(-0.407711\pi\) |
0.794542 | + | 0.607209i | \(0.207711\pi\) | |||||||
\(822\) | 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 | −0.466850 | − | 0.884337i | \(-0.654611\pi\) |
0.985319 | + | 0.170726i | \(0.0546112\pi\) | |||||||
\(828\) | 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 | −0.304609 | − | 0.952477i | \(-0.598526\pi\) |
−0.806286 | + | 0.591525i | \(0.798526\pi\) | |||||||
\(840\) | 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 | \(0.208621\pi\) | ||||
−0.792804 | + | 0.609477i | \(0.791379\pi\) | |||||||
\(858\) | 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 | 0.526992 | − | 0.849870i | \(-0.323320\pi\) |
−0.971124 | + | 0.238575i | \(0.923320\pi\) | |||||||
\(864\) | 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 | \(-0.985358\pi\) | ||
0.998942 | − | 0.0459821i | \(-0.0146417\pi\) | |||||||
\(882\) | 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 | 0.667314 | − | 0.744776i | \(-0.267444\pi\) |
0.977637 | + | 0.210299i | \(0.0674437\pi\) | |||||||
\(888\) | 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 | −0.671282 | − | 0.741202i | \(-0.734256\pi\) |
0.912362 | + | 0.409383i | \(0.134256\pi\) | |||||||
\(912\) | 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 | 0.936124 | − | 0.351670i | \(-0.114386\pi\) |
−0.623736 | + | 0.781635i | \(0.714386\pi\) | |||||||
\(930\) | 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 | 0.333574 | − | 0.942724i | \(-0.391745\pi\) |
−0.999664 | + | 0.0259296i | \(0.991745\pi\) | |||||||
\(942\) | 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 | \(0.0334416\pi\) | ||||
−0.994486 | + | 0.104867i | \(0.966558\pi\) | |||||||
\(948\) | 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 | 0.305276 | − | 0.952264i | \(-0.401251\pi\) |
0.806700 | + | 0.590961i | \(0.201251\pi\) | |||||||
\(954\) | 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 | 0.251698 | − | 0.967806i | \(-0.419011\pi\) |
−0.365234 | + | 0.930916i | \(0.619011\pi\) | |||||||
\(972\) | 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 | −0.773255 | − | 0.634095i | \(-0.781373\pi\) |
0.842009 | + | 0.539463i | \(0.181373\pi\) | |||||||
\(978\) | 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 | 0.229641 | − | 0.973275i | \(-0.426245\pi\) |
0.757861 | + | 0.652417i | \(0.226245\pi\) | |||||||
\(984\) | 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.26.3 | ✓ | 32 | |
3.2 | odd | 2 | inner | 99.3.l.a.26.6 | yes | 32 | |
11.3 | even | 5 | inner | 99.3.l.a.80.6 | yes | 32 | |
11.5 | even | 5 | 1089.3.b.i.485.5 | 16 | |||
11.6 | odd | 10 | 1089.3.b.j.485.12 | 16 | |||
33.5 | odd | 10 | 1089.3.b.i.485.12 | 16 | |||
33.14 | odd | 10 | inner | 99.3.l.a.80.3 | yes | 32 | |
33.17 | even | 10 | 1089.3.b.j.485.5 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.3.l.a.26.3 | ✓ | 32 | 1.1 | even | 1 | trivial | |
99.3.l.a.26.6 | yes | 32 | 3.2 | odd | 2 | inner | |
99.3.l.a.80.3 | yes | 32 | 33.14 | odd | 10 | inner | |
99.3.l.a.80.6 | yes | 32 | 11.3 | even | 5 | inner | |
1089.3.b.i.485.5 | 16 | 11.5 | even | 5 | |||
1089.3.b.i.485.12 | 16 | 33.5 | odd | 10 | |||
1089.3.b.j.485.5 | 16 | 33.17 | even | 10 | |||
1089.3.b.j.485.12 | 16 | 11.6 | odd | 10 |