Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [722,2,Mod(99,722)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(722, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("722.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 722 = 2 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 722.e (of order \(9\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.76519902594\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 38) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 415.1 | ||
Root | \(0.939693 - 0.342020i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 722.415 |
Dual form | 722.2.e.i.595.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).
\(n\) | \(363\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.766044 | + | 0.642788i | 0.541675 | + | 0.454519i | ||||
\(3\) | 0.939693 | − | 0.342020i | 0.542532 | − | 0.197465i | −0.0561935 | − | 0.998420i | \(-0.517896\pi\) |
0.598725 | + | 0.800954i | \(0.295674\pi\) | |||||||
\(4\) | 0.173648 | + | 0.984808i | 0.0868241 | + | 0.492404i | ||||
\(5\) | 0 | 0 | −0.984808 | − | 0.173648i | \(-0.944444\pi\) | ||||
0.984808 | + | 0.173648i | \(0.0555556\pi\) | |||||||
\(6\) | 0.939693 | + | 0.342020i | 0.383628 | + | 0.139629i | ||||
\(7\) | 2.00000 | + | 3.46410i | 0.755929 | + | 1.30931i | 0.944911 | + | 0.327327i | \(0.106148\pi\) |
−0.188982 | + | 0.981981i | \(0.560519\pi\) | |||||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | −1.53209 | + | 1.28558i | −0.510696 | + | 0.428525i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.50000 | + | 2.59808i | −0.452267 | + | 0.783349i | −0.998526 | − | 0.0542666i | \(-0.982718\pi\) |
0.546259 | + | 0.837616i | \(0.316051\pi\) | |||||||
\(12\) | 0.500000 | + | 0.866025i | 0.144338 | + | 0.250000i | ||||
\(13\) | 1.87939 | + | 0.684040i | 0.521248 | + | 0.189719i | 0.589226 | − | 0.807968i | \(-0.299433\pi\) |
−0.0679785 | + | 0.997687i | \(0.521655\pi\) | |||||||
\(14\) | −0.694593 | + | 3.93923i | −0.185638 | + | 1.05280i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | −4.59627 | − | 3.85673i | −1.11476 | − | 0.935393i | −0.116431 | − | 0.993199i | \(-0.537145\pi\) |
−0.998328 | + | 0.0578055i | \(0.981590\pi\) | |||||||
\(18\) | −2.00000 | −0.471405 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 3.06418 | + | 2.57115i | 0.668658 | + | 0.561071i | ||||
\(22\) | −2.81908 | + | 1.02606i | −0.601029 | + | 0.218757i | ||||
\(23\) | −1.04189 | − | 5.90885i | −0.217249 | − | 1.23208i | −0.876961 | − | 0.480561i | \(-0.840433\pi\) |
0.659712 | − | 0.751518i | \(-0.270678\pi\) | |||||||
\(24\) | −0.173648 | + | 0.984808i | −0.0354458 | + | 0.201023i | ||||
\(25\) | 4.69846 | + | 1.71010i | 0.939693 | + | 0.342020i | ||||
\(26\) | 1.00000 | + | 1.73205i | 0.196116 | + | 0.339683i | ||||
\(27\) | −2.50000 | + | 4.33013i | −0.481125 | + | 0.833333i | ||||
\(28\) | −3.06418 | + | 2.57115i | −0.579075 | + | 0.485902i | ||||
\(29\) | 0 | 0 | −0.642788 | − | 0.766044i | \(-0.722222\pi\) | ||||
0.642788 | + | 0.766044i | \(0.277778\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.00000 | + | 1.73205i | 0.179605 | + | 0.311086i | 0.941745 | − | 0.336327i | \(-0.109185\pi\) |
−0.762140 | + | 0.647412i | \(0.775851\pi\) | |||||||
\(32\) | −0.939693 | − | 0.342020i | −0.166116 | − | 0.0604612i | ||||
\(33\) | −0.520945 | + | 2.95442i | −0.0906848 | + | 0.514299i | ||||
\(34\) | −1.04189 | − | 5.90885i | −0.178683 | − | 1.01336i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −1.53209 | − | 1.28558i | −0.255348 | − | 0.214263i | ||||
\(37\) | 10.0000 | 1.64399 | 0.821995 | − | 0.569495i | \(-0.192861\pi\) | ||||
0.821995 | + | 0.569495i | \(0.192861\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 2.00000 | 0.320256 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 8.45723 | − | 3.07818i | 1.32080 | − | 0.480731i | 0.417084 | − | 0.908868i | \(-0.363052\pi\) |
0.903714 | + | 0.428137i | \(0.140830\pi\) | |||||||
\(42\) | 0.694593 | + | 3.93923i | 0.107178 | + | 0.607837i | ||||
\(43\) | −0.694593 | + | 3.93923i | −0.105924 | + | 0.600727i | 0.884923 | + | 0.465738i | \(0.154211\pi\) |
−0.990847 | + | 0.134989i | \(0.956900\pi\) | |||||||
\(44\) | −2.81908 | − | 1.02606i | −0.424992 | − | 0.154684i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 3.00000 | − | 5.19615i | 0.442326 | − | 0.766131i | ||||
\(47\) | 0 | 0 | −0.642788 | − | 0.766044i | \(-0.722222\pi\) | ||||
0.642788 | + | 0.766044i | \(0.277778\pi\) | |||||||
\(48\) | −0.766044 | + | 0.642788i | −0.110569 | + | 0.0927784i | ||||
\(49\) | −4.50000 | + | 7.79423i | −0.642857 | + | 1.11346i | ||||
\(50\) | 2.50000 | + | 4.33013i | 0.353553 | + | 0.612372i | ||||
\(51\) | −5.63816 | − | 2.05212i | −0.789500 | − | 0.287354i | ||||
\(52\) | −0.347296 | + | 1.96962i | −0.0481613 | + | 0.273137i | ||||
\(53\) | −1.04189 | − | 5.90885i | −0.143114 | − | 0.811642i | −0.968862 | − | 0.247602i | \(-0.920357\pi\) |
0.825747 | − | 0.564040i | \(-0.190754\pi\) | |||||||
\(54\) | −4.69846 | + | 1.71010i | −0.639380 | + | 0.232715i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −4.00000 | −0.534522 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 6.89440 | + | 5.78509i | 0.897574 | + | 0.753154i | 0.969715 | − | 0.244240i | \(-0.0785385\pi\) |
−0.0721404 | + | 0.997394i | \(0.522983\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.694593 | − | 3.93923i | −0.0889335 | − | 0.504367i | −0.996438 | − | 0.0843252i | \(-0.973127\pi\) |
0.907505 | − | 0.420042i | \(-0.137985\pi\) | |||||||
\(62\) | −0.347296 | + | 1.96962i | −0.0441067 | + | 0.250141i | ||||
\(63\) | −7.51754 | − | 2.73616i | −0.947121 | − | 0.344724i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −2.29813 | + | 1.92836i | −0.282881 | + | 0.237365i | ||||
\(67\) | 5.36231 | − | 4.49951i | 0.655111 | − | 0.549703i | −0.253506 | − | 0.967334i | \(-0.581584\pi\) |
0.908617 | + | 0.417631i | \(0.137139\pi\) | |||||||
\(68\) | 3.00000 | − | 5.19615i | 0.363803 | − | 0.630126i | ||||
\(69\) | −3.00000 | − | 5.19615i | −0.361158 | − | 0.625543i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.04189 | − | 5.90885i | 0.123649 | − | 0.701251i | −0.858451 | − | 0.512895i | \(-0.828573\pi\) |
0.982101 | − | 0.188356i | \(-0.0603159\pi\) | |||||||
\(72\) | −0.347296 | − | 1.96962i | −0.0409293 | − | 0.232121i | ||||
\(73\) | 0.939693 | − | 0.342020i | 0.109983 | − | 0.0400304i | −0.286443 | − | 0.958097i | \(-0.592473\pi\) |
0.396425 | + | 0.918067i | \(0.370251\pi\) | |||||||
\(74\) | 7.66044 | + | 6.42788i | 0.890509 | + | 0.747225i | ||||
\(75\) | 5.00000 | 0.577350 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −12.0000 | −1.36753 | ||||||||
\(78\) | 1.53209 | + | 1.28558i | 0.173475 | + | 0.145563i | ||||
\(79\) | −3.75877 | + | 1.36808i | −0.422895 | + | 0.153921i | −0.544696 | − | 0.838633i | \(-0.683355\pi\) |
0.121802 | + | 0.992554i | \(0.461133\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.173648 | − | 0.984808i | 0.0192942 | − | 0.109423i | ||||
\(82\) | 8.45723 | + | 3.07818i | 0.933945 | + | 0.339928i | ||||
\(83\) | −1.50000 | − | 2.59808i | −0.164646 | − | 0.285176i | 0.771883 | − | 0.635764i | \(-0.219315\pi\) |
−0.936530 | + | 0.350588i | \(0.885982\pi\) | |||||||
\(84\) | −2.00000 | + | 3.46410i | −0.218218 | + | 0.377964i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −3.06418 | + | 2.57115i | −0.330419 | + | 0.277254i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.50000 | − | 2.59808i | −0.159901 | − | 0.276956i | ||||
\(89\) | 5.63816 | + | 2.05212i | 0.597643 | + | 0.217524i | 0.623088 | − | 0.782152i | \(-0.285878\pi\) |
−0.0254445 | + | 0.999676i | \(0.508100\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.38919 | + | 7.87846i | 0.145626 | + | 0.825887i | ||||
\(92\) | 5.63816 | − | 2.05212i | 0.587818 | − | 0.213948i | ||||
\(93\) | 1.53209 | + | 1.28558i | 0.158870 | + | 0.133308i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −1.00000 | −0.102062 | ||||||||
\(97\) | −13.0228 | − | 10.9274i | −1.32226 | − | 1.10951i | −0.985820 | − | 0.167803i | \(-0.946333\pi\) |
−0.336440 | − | 0.941705i | \(-0.609223\pi\) | |||||||
\(98\) | −8.45723 | + | 3.07818i | −0.854310 | + | 0.310943i | ||||
\(99\) | −1.04189 | − | 5.90885i | −0.104714 | − | 0.593861i | ||||
\(100\) | −0.868241 | + | 4.92404i | −0.0868241 | + | 0.492404i | ||||
\(101\) | 0 | 0 | 0.342020 | − | 0.939693i | \(-0.388889\pi\) | ||||
−0.342020 | + | 0.939693i | \(0.611111\pi\) | |||||||
\(102\) | −3.00000 | − | 5.19615i | −0.297044 | − | 0.514496i | ||||
\(103\) | 1.00000 | − | 1.73205i | 0.0985329 | − | 0.170664i | −0.812545 | − | 0.582899i | \(-0.801918\pi\) |
0.911078 | + | 0.412235i | \(0.135252\pi\) | |||||||
\(104\) | −1.53209 | + | 1.28558i | −0.150234 | + | 0.126061i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 3.00000 | − | 5.19615i | 0.291386 | − | 0.504695i | ||||
\(107\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(108\) | −4.69846 | − | 1.71010i | −0.452110 | − | 0.164555i | ||||
\(109\) | 2.77837 | − | 15.7569i | 0.266120 | − | 1.50924i | −0.499708 | − | 0.866194i | \(-0.666559\pi\) |
0.765828 | − | 0.643046i | \(-0.222329\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 9.39693 | − | 3.42020i | 0.891917 | − | 0.324631i | ||||
\(112\) | −3.06418 | − | 2.57115i | −0.289538 | − | 0.242951i | ||||
\(113\) | −15.0000 | −1.41108 | −0.705541 | − | 0.708669i | \(-0.749296\pi\) | ||||
−0.705541 | + | 0.708669i | \(0.749296\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −3.75877 | + | 1.36808i | −0.347498 | + | 0.126479i | ||||
\(118\) | 1.56283 | + | 8.86327i | 0.143870 | + | 0.815930i | ||||
\(119\) | 4.16756 | − | 23.6354i | 0.382039 | − | 2.16665i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.00000 | + | 1.73205i | 0.0909091 | + | 0.157459i | ||||
\(122\) | 2.00000 | − | 3.46410i | 0.181071 | − | 0.313625i | ||||
\(123\) | 6.89440 | − | 5.78509i | 0.621647 | − | 0.521624i | ||||
\(124\) | −1.53209 | + | 1.28558i | −0.137586 | + | 0.115448i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −4.00000 | − | 6.92820i | −0.356348 | − | 0.617213i | ||||
\(127\) | 1.87939 | + | 0.684040i | 0.166768 | + | 0.0606988i | 0.424055 | − | 0.905636i | \(-0.360606\pi\) |
−0.257287 | + | 0.966335i | \(0.582828\pi\) | |||||||
\(128\) | 0.173648 | − | 0.984808i | 0.0153485 | − | 0.0870455i | ||||
\(129\) | 0.694593 | + | 3.93923i | 0.0611555 | + | 0.346830i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 6.89440 | + | 5.78509i | 0.602367 | + | 0.505446i | 0.892205 | − | 0.451630i | \(-0.149157\pi\) |
−0.289839 | + | 0.957075i | \(0.593602\pi\) | |||||||
\(132\) | −3.00000 | −0.261116 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 7.00000 | 0.604708 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 5.63816 | − | 2.05212i | 0.483468 | − | 0.175968i | ||||
\(137\) | 1.56283 | + | 8.86327i | 0.133522 | + | 0.757240i | 0.975878 | + | 0.218318i | \(0.0700571\pi\) |
−0.842356 | + | 0.538922i | \(0.818832\pi\) | |||||||
\(138\) | 1.04189 | − | 5.90885i | 0.0886915 | − | 0.502994i | ||||
\(139\) | −10.3366 | − | 3.76222i | −0.876741 | − | 0.319107i | −0.135847 | − | 0.990730i | \(-0.543376\pi\) |
−0.740894 | + | 0.671622i | \(0.765598\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 4.59627 | − | 3.85673i | 0.385710 | − | 0.323649i | ||||
\(143\) | −4.59627 | + | 3.85673i | −0.384359 | + | 0.322516i | ||||
\(144\) | 1.00000 | − | 1.73205i | 0.0833333 | − | 0.144338i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0.939693 | + | 0.342020i | 0.0777695 | + | 0.0283058i | ||||
\(147\) | −1.56283 | + | 8.86327i | −0.128900 | + | 0.731030i | ||||
\(148\) | 1.73648 | + | 9.84808i | 0.142738 | + | 0.809507i | ||||
\(149\) | −16.9145 | + | 6.15636i | −1.38569 | + | 0.504349i | −0.923897 | − | 0.382641i | \(-0.875015\pi\) |
−0.461790 | + | 0.886989i | \(0.652793\pi\) | |||||||
\(150\) | 3.83022 | + | 3.21394i | 0.312736 | + | 0.262417i | ||||
\(151\) | 10.0000 | 0.813788 | 0.406894 | − | 0.913475i | \(-0.366612\pi\) | ||||
0.406894 | + | 0.913475i | \(0.366612\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 12.0000 | 0.970143 | ||||||||
\(154\) | −9.19253 | − | 7.71345i | −0.740755 | − | 0.621568i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0.347296 | + | 1.96962i | 0.0278060 | + | 0.157695i | ||||
\(157\) | −2.77837 | + | 15.7569i | −0.221738 | + | 1.25754i | 0.647085 | + | 0.762418i | \(0.275988\pi\) |
−0.868824 | + | 0.495122i | \(0.835123\pi\) | |||||||
\(158\) | −3.75877 | − | 1.36808i | −0.299032 | − | 0.108839i | ||||
\(159\) | −3.00000 | − | 5.19615i | −0.237915 | − | 0.412082i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 18.3851 | − | 15.4269i | 1.44895 | − | 1.21581i | ||||
\(162\) | 0.766044 | − | 0.642788i | 0.0601861 | − | 0.0505022i | ||||
\(163\) | 9.50000 | − | 16.4545i | 0.744097 | − | 1.28881i | −0.206518 | − | 0.978443i | \(-0.566213\pi\) |
0.950615 | − | 0.310372i | \(-0.100454\pi\) | |||||||
\(164\) | 4.50000 | + | 7.79423i | 0.351391 | + | 0.608627i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.520945 | − | 2.95442i | 0.0404331 | − | 0.229308i | ||||
\(167\) | 4.16756 | + | 23.6354i | 0.322495 | + | 1.82896i | 0.526722 | + | 0.850038i | \(0.323421\pi\) |
−0.204227 | + | 0.978924i | \(0.565468\pi\) | |||||||
\(168\) | −3.75877 | + | 1.36808i | −0.289995 | + | 0.105550i | ||||
\(169\) | −6.89440 | − | 5.78509i | −0.530338 | − | 0.445007i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −4.00000 | −0.304997 | ||||||||
\(173\) | −4.59627 | − | 3.85673i | −0.349448 | − | 0.293221i | 0.451121 | − | 0.892463i | \(-0.351024\pi\) |
−0.800568 | + | 0.599242i | \(0.795469\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 3.47296 | + | 19.6962i | 0.262531 | + | 1.48889i | ||||
\(176\) | 0.520945 | − | 2.95442i | 0.0392677 | − | 0.222698i | ||||
\(177\) | 8.45723 | + | 3.07818i | 0.635685 | + | 0.231370i | ||||
\(178\) | 3.00000 | + | 5.19615i | 0.224860 | + | 0.389468i | ||||
\(179\) | 4.50000 | − | 7.79423i | 0.336346 | − | 0.582568i | −0.647397 | − | 0.762153i | \(-0.724142\pi\) |
0.983742 | + | 0.179585i | \(0.0574756\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.53209 | + | 1.28558i | −0.113879 | + | 0.0955561i | −0.697949 | − | 0.716147i | \(-0.745904\pi\) |
0.584070 | + | 0.811703i | \(0.301459\pi\) | |||||||
\(182\) | −4.00000 | + | 6.92820i | −0.296500 | + | 0.513553i | ||||
\(183\) | −2.00000 | − | 3.46410i | −0.147844 | − | 0.256074i | ||||
\(184\) | 5.63816 | + | 2.05212i | 0.415650 | + | 0.151284i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0.347296 | + | 1.96962i | 0.0254650 | + | 0.144419i | ||||
\(187\) | 16.9145 | − | 6.15636i | 1.23691 | − | 0.450198i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −20.0000 | −1.45479 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 12.0000 | 0.868290 | 0.434145 | − | 0.900843i | \(-0.357051\pi\) | ||||
0.434145 | + | 0.900843i | \(0.357051\pi\) | |||||||
\(192\) | −0.766044 | − | 0.642788i | −0.0552845 | − | 0.0463892i | ||||
\(193\) | 1.87939 | − | 0.684040i | 0.135281 | − | 0.0492383i | −0.273492 | − | 0.961874i | \(-0.588179\pi\) |
0.408773 | + | 0.912636i | \(0.365957\pi\) | |||||||
\(194\) | −2.95202 | − | 16.7417i | −0.211943 | − | 1.20199i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −8.45723 | − | 3.07818i | −0.604088 | − | 0.219870i | ||||
\(197\) | −9.00000 | − | 15.5885i | −0.641223 | − | 1.11063i | −0.985160 | − | 0.171639i | \(-0.945094\pi\) |
0.343937 | − | 0.938993i | \(-0.388239\pi\) | |||||||
\(198\) | 3.00000 | − | 5.19615i | 0.213201 | − | 0.369274i | ||||
\(199\) | −7.66044 | + | 6.42788i | −0.543035 | + | 0.455660i | −0.872574 | − | 0.488482i | \(-0.837551\pi\) |
0.329540 | + | 0.944142i | \(0.393106\pi\) | |||||||
\(200\) | −3.83022 | + | 3.21394i | −0.270838 | + | 0.227260i | ||||
\(201\) | 3.50000 | − | 6.06218i | 0.246871 | − | 0.427593i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 1.04189 | − | 5.90885i | 0.0729468 | − | 0.413702i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 1.87939 | − | 0.684040i | 0.130943 | − | 0.0476593i | ||||
\(207\) | 9.19253 | + | 7.71345i | 0.638925 | + | 0.536122i | ||||
\(208\) | −2.00000 | −0.138675 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −15.3209 | − | 12.8558i | −1.05473 | − | 0.885026i | −0.0611501 | − | 0.998129i | \(-0.519477\pi\) |
−0.993583 | + | 0.113102i | \(0.963921\pi\) | |||||||
\(212\) | 5.63816 | − | 2.05212i | 0.387230 | − | 0.140940i | ||||
\(213\) | −1.04189 | − | 5.90885i | −0.0713891 | − | 0.404867i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −2.50000 | − | 4.33013i | −0.170103 | − | 0.294628i | ||||
\(217\) | −4.00000 | + | 6.92820i | −0.271538 | + | 0.470317i | ||||
\(218\) | 12.2567 | − | 10.2846i | 0.830129 | − | 0.696561i | ||||
\(219\) | 0.766044 | − | 0.642788i | 0.0517645 | − | 0.0434356i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −6.00000 | − | 10.3923i | −0.403604 | − | 0.699062i | ||||
\(222\) | 9.39693 | + | 3.42020i | 0.630680 | + | 0.229549i | ||||
\(223\) | −2.43107 | + | 13.7873i | −0.162797 | + | 0.923266i | 0.788510 | + | 0.615022i | \(0.210853\pi\) |
−0.951307 | + | 0.308245i | \(0.900258\pi\) | |||||||
\(224\) | −0.694593 | − | 3.93923i | −0.0464094 | − | 0.263201i | ||||
\(225\) | −9.39693 | + | 3.42020i | −0.626462 | + | 0.228013i | ||||
\(226\) | −11.4907 | − | 9.64181i | −0.764348 | − | 0.641364i | ||||
\(227\) | −3.00000 | −0.199117 | −0.0995585 | − | 0.995032i | \(-0.531743\pi\) | ||||
−0.0995585 | + | 0.995032i | \(0.531743\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −16.0000 | −1.05731 | −0.528655 | − | 0.848837i | \(-0.677303\pi\) | ||||
−0.528655 | + | 0.848837i | \(0.677303\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −11.2763 | + | 4.10424i | −0.741927 | + | 0.270039i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 0.520945 | − | 2.95442i | 0.0341282 | − | 0.193551i | −0.962977 | − | 0.269583i | \(-0.913114\pi\) |
0.997105 | + | 0.0760324i | \(0.0242252\pi\) | |||||||
\(234\) | −3.75877 | − | 1.36808i | −0.245719 | − | 0.0894342i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −4.50000 | + | 7.79423i | −0.292925 | + | 0.507361i | ||||
\(237\) | −3.06418 | + | 2.57115i | −0.199040 | + | 0.167014i | ||||
\(238\) | 18.3851 | − | 15.4269i | 1.19173 | − | 0.999978i | ||||
\(239\) | 6.00000 | − | 10.3923i | 0.388108 | − | 0.672222i | −0.604087 | − | 0.796918i | \(-0.706462\pi\) |
0.992195 | + | 0.124696i | \(0.0397955\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 4.69846 | + | 1.71010i | 0.302655 | + | 0.110157i | 0.488883 | − | 0.872349i | \(-0.337404\pi\) |
−0.186229 | + | 0.982506i | \(0.559627\pi\) | |||||||
\(242\) | −0.347296 | + | 1.96962i | −0.0223251 | + | 0.126612i | ||||
\(243\) | −2.77837 | − | 15.7569i | −0.178233 | − | 1.01081i | ||||
\(244\) | 3.75877 | − | 1.36808i | 0.240631 | − | 0.0875824i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 9.00000 | 0.573819 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −2.00000 | −0.127000 | ||||||||
\(249\) | −2.29813 | − | 1.92836i | −0.145638 | − | 0.122205i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −0.520945 | − | 2.95442i | −0.0328817 | − | 0.186482i | 0.963943 | − | 0.266109i | \(-0.0857381\pi\) |
−0.996825 | + | 0.0796274i | \(0.974627\pi\) | |||||||
\(252\) | 1.38919 | − | 7.87846i | 0.0875105 | − | 0.496296i | ||||
\(253\) | 16.9145 | + | 6.15636i | 1.06340 | + | 0.387047i | ||||
\(254\) | 1.00000 | + | 1.73205i | 0.0627456 | + | 0.108679i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | −2.29813 | + | 1.92836i | −0.143354 | + | 0.120288i | −0.711644 | − | 0.702540i | \(-0.752049\pi\) |
0.568291 | + | 0.822828i | \(0.307605\pi\) | |||||||
\(258\) | −2.00000 | + | 3.46410i | −0.124515 | + | 0.215666i | ||||
\(259\) | 20.0000 | + | 34.6410i | 1.24274 | + | 2.15249i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 1.56283 | + | 8.86327i | 0.0965522 | + | 0.547575i | ||||
\(263\) | 11.2763 | − | 4.10424i | 0.695327 | − | 0.253078i | 0.0299127 | − | 0.999553i | \(-0.490477\pi\) |
0.665414 | + | 0.746474i | \(0.268255\pi\) | |||||||
\(264\) | −2.29813 | − | 1.92836i | −0.141440 | − | 0.118683i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 6.00000 | 0.367194 | ||||||||
\(268\) | 5.36231 | + | 4.49951i | 0.327555 | + | 0.274852i | ||||
\(269\) | 11.2763 | − | 4.10424i | 0.687529 | − | 0.250240i | 0.0254521 | − | 0.999676i | \(-0.491897\pi\) |
0.662077 | + | 0.749436i | \(0.269675\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.77837 | + | 15.7569i | −0.168774 | + | 0.957165i | 0.776313 | + | 0.630347i | \(0.217087\pi\) |
−0.945087 | + | 0.326818i | \(0.894024\pi\) | |||||||
\(272\) | 5.63816 | + | 2.05212i | 0.341863 | + | 0.124428i | ||||
\(273\) | 4.00000 | + | 6.92820i | 0.242091 | + | 0.419314i | ||||
\(274\) | −4.50000 | + | 7.79423i | −0.271855 | + | 0.470867i | ||||
\(275\) | −11.4907 | + | 9.64181i | −0.692913 | + | 0.581423i | ||||
\(276\) | 4.59627 | − | 3.85673i | 0.276663 | − | 0.232148i | ||||
\(277\) | −4.00000 | + | 6.92820i | −0.240337 | + | 0.416275i | −0.960810 | − | 0.277207i | \(-0.910591\pi\) |
0.720473 | + | 0.693482i | \(0.243925\pi\) | |||||||
\(278\) | −5.50000 | − | 9.52628i | −0.329868 | − | 0.571348i | ||||
\(279\) | −3.75877 | − | 1.36808i | −0.225032 | − | 0.0819048i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −4.68850 | − | 26.5898i | −0.279693 | − | 1.58622i | −0.723650 | − | 0.690167i | \(-0.757537\pi\) |
0.443957 | − | 0.896048i | \(-0.353574\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 3.83022 | + | 3.21394i | 0.227683 | + | 0.191049i | 0.749492 | − | 0.662014i | \(-0.230298\pi\) |
−0.521809 | + | 0.853063i | \(0.674742\pi\) | |||||||
\(284\) | 6.00000 | 0.356034 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −6.00000 | −0.354787 | ||||||||
\(287\) | 27.5776 | + | 23.1404i | 1.62785 | + | 1.36593i | ||||
\(288\) | 1.87939 | − | 0.684040i | 0.110744 | − | 0.0403075i | ||||
\(289\) | 3.29932 | + | 18.7113i | 0.194077 | + | 1.10067i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −15.9748 | − | 5.81434i | −0.936458 | − | 0.340843i | ||||
\(292\) | 0.500000 | + | 0.866025i | 0.0292603 | + | 0.0506803i | ||||
\(293\) | 12.0000 | − | 20.7846i | 0.701047 | − | 1.21425i | −0.267052 | − | 0.963682i | \(-0.586049\pi\) |
0.968099 | − | 0.250568i | \(-0.0806172\pi\) | |||||||
\(294\) | −6.89440 | + | 5.78509i | −0.402090 | + | 0.337393i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −5.00000 | + | 8.66025i | −0.290619 | + | 0.503367i | ||||
\(297\) | −7.50000 | − | 12.9904i | −0.435194 | − | 0.753778i | ||||
\(298\) | −16.9145 | − | 6.15636i | −0.979829 | − | 0.356629i | ||||
\(299\) | 2.08378 | − | 11.8177i | 0.120508 | − | 0.683435i | ||||
\(300\) | 0.868241 | + | 4.92404i | 0.0501279 | + | 0.284290i | ||||
\(301\) | −15.0351 | + | 5.47232i | −0.866608 | + | 0.315419i | ||||
\(302\) | 7.66044 | + | 6.42788i | 0.440809 | + | 0.369883i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 9.19253 | + | 7.71345i | 0.525502 | + | 0.440949i | ||||
\(307\) | −6.57785 | + | 2.39414i | −0.375418 | + | 0.136641i | −0.522836 | − | 0.852433i | \(-0.675126\pi\) |
0.147418 | + | 0.989074i | \(0.452904\pi\) | |||||||
\(308\) | −2.08378 | − | 11.8177i | −0.118734 | − | 0.673376i | ||||
\(309\) | 0.347296 | − | 1.96962i | 0.0197570 | − | 0.112048i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 15.0000 | + | 25.9808i | 0.850572 | + | 1.47323i | 0.880693 | + | 0.473688i | \(0.157077\pi\) |
−0.0301210 | + | 0.999546i | \(0.509589\pi\) | |||||||
\(312\) | −1.00000 | + | 1.73205i | −0.0566139 | + | 0.0980581i | ||||
\(313\) | −14.5548 | + | 12.2130i | −0.822688 | + | 0.690318i | −0.953600 | − | 0.301076i | \(-0.902654\pi\) |
0.130912 | + | 0.991394i | \(0.458210\pi\) | |||||||
\(314\) | −12.2567 | + | 10.2846i | −0.691686 | + | 0.580394i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.00000 | − | 3.46410i | −0.112509 | − | 0.194871i | ||||
\(317\) | −16.9145 | − | 6.15636i | −0.950011 | − | 0.345776i | −0.179900 | − | 0.983685i | \(-0.557577\pi\) |
−0.770112 | + | 0.637909i | \(0.779799\pi\) | |||||||
\(318\) | 1.04189 | − | 5.90885i | 0.0584262 | − | 0.331352i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 24.0000 | 1.33747 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | 7.66044 | + | 6.42788i | 0.424925 | + | 0.356554i | ||||
\(326\) | 17.8542 | − | 6.49838i | 0.988850 | − | 0.359912i | ||||
\(327\) | −2.77837 | − | 15.7569i | −0.153644 | − | 0.871360i | ||||
\(328\) | −1.56283 | + | 8.86327i | −0.0862930 | + | 0.489392i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2.50000 | − | 4.33013i | 0.137412 | − | 0.238005i | −0.789104 | − | 0.614260i | \(-0.789455\pi\) |
0.926516 | + | 0.376254i | \(0.122788\pi\) | |||||||
\(332\) | 2.29813 | − | 1.92836i | 0.126126 | − | 0.105833i | ||||
\(333\) | −15.3209 | + | 12.8558i | −0.839580 | + | 0.704491i | ||||
\(334\) | −12.0000 | + | 20.7846i | −0.656611 | + | 1.13728i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −3.75877 | − | 1.36808i | −0.205058 | − | 0.0746349i | ||||
\(337\) | −1.91013 | + | 10.8329i | −0.104051 | + | 0.590105i | 0.887544 | + | 0.460724i | \(0.152410\pi\) |
−0.991595 | + | 0.129381i | \(0.958701\pi\) | |||||||
\(338\) | −1.56283 | − | 8.86327i | −0.0850069 | − | 0.482098i | ||||
\(339\) | −14.0954 | + | 5.13030i | −0.765556 | + | 0.278640i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −6.00000 | −0.324918 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −8.00000 | −0.431959 | ||||||||
\(344\) | −3.06418 | − | 2.57115i | −0.165209 | − | 0.138627i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −1.04189 | − | 5.90885i | −0.0560123 | − | 0.317662i | ||||
\(347\) | −1.56283 | + | 8.86327i | −0.0838973 | + | 0.475805i | 0.913692 | + | 0.406408i | \(0.133219\pi\) |
−0.997589 | + | 0.0693974i | \(0.977892\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 2.00000 | + | 3.46410i | 0.107058 | + | 0.185429i | 0.914577 | − | 0.404412i | \(-0.132524\pi\) |
−0.807519 | + | 0.589841i | \(0.799190\pi\) | |||||||
\(350\) | −10.0000 | + | 17.3205i | −0.534522 | + | 0.925820i | ||||
\(351\) | −7.66044 | + | 6.42788i | −0.408884 | + | 0.343095i | ||||
\(352\) | 2.29813 | − | 1.92836i | 0.122491 | − | 0.102782i | ||||
\(353\) | −1.50000 | + | 2.59808i | −0.0798369 | + | 0.138282i | −0.903179 | − | 0.429263i | \(-0.858773\pi\) |
0.823343 | + | 0.567545i | \(0.192107\pi\) | |||||||
\(354\) | 4.50000 | + | 7.79423i | 0.239172 | + | 0.414259i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −1.04189 | + | 5.90885i | −0.0552200 | + | 0.313168i | ||||
\(357\) | −4.16756 | − | 23.6354i | −0.220570 | − | 1.25092i | ||||
\(358\) | 8.45723 | − | 3.07818i | 0.446979 | − | 0.162687i | ||||
\(359\) | −4.59627 | − | 3.85673i | −0.242582 | − | 0.203550i | 0.513388 | − | 0.858156i | \(-0.328390\pi\) |
−0.755970 | + | 0.654606i | \(0.772834\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | −2.00000 | −0.105118 | ||||||||
\(363\) | 1.53209 | + | 1.28558i | 0.0804138 | + | 0.0674752i | ||||
\(364\) | −7.51754 | + | 2.73616i | −0.394026 | + | 0.143414i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0.694593 | − | 3.93923i | 0.0363069 | − | 0.205907i | ||||
\(367\) | 20.6732 | + | 7.52444i | 1.07913 | + | 0.392773i | 0.819585 | − | 0.572957i | \(-0.194204\pi\) |
0.259549 | + | 0.965730i | \(0.416426\pi\) | |||||||
\(368\) | 3.00000 | + | 5.19615i | 0.156386 | + | 0.270868i | ||||
\(369\) | −9.00000 | + | 15.5885i | −0.468521 | + | 0.811503i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 18.3851 | − | 15.4269i | 0.954505 | − | 0.800925i | ||||
\(372\) | −1.00000 | + | 1.73205i | −0.0518476 | + | 0.0898027i | ||||
\(373\) | −2.00000 | − | 3.46410i | −0.103556 | − | 0.179364i | 0.809591 | − | 0.586994i | \(-0.199689\pi\) |
−0.913147 | + | 0.407630i | \(0.866355\pi\) | |||||||
\(374\) | 16.9145 | + | 6.15636i | 0.874626 | + | 0.318338i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −15.3209 | − | 12.8558i | −0.788021 | − | 0.661229i | ||||
\(379\) | 28.0000 | 1.43826 | 0.719132 | − | 0.694874i | \(-0.244540\pi\) | ||||
0.719132 | + | 0.694874i | \(0.244540\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 2.00000 | 0.102463 | ||||||||
\(382\) | 9.19253 | + | 7.71345i | 0.470331 | + | 0.394655i | ||||
\(383\) | −33.8289 | + | 12.3127i | −1.72858 | + | 0.629151i | −0.998528 | − | 0.0542428i | \(-0.982725\pi\) |
−0.730050 | + | 0.683394i | \(0.760503\pi\) | |||||||
\(384\) | −0.173648 | − | 0.984808i | −0.00886145 | − | 0.0502558i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 1.87939 | + | 0.684040i | 0.0956582 | + | 0.0348167i | ||||
\(387\) | −4.00000 | − | 6.92820i | −0.203331 | − | 0.352180i | ||||
\(388\) | 8.50000 | − | 14.7224i | 0.431522 | − | 0.747418i | ||||
\(389\) | −27.5776 | + | 23.1404i | −1.39824 | + | 1.17326i | −0.436366 | + | 0.899769i | \(0.643735\pi\) |
−0.961874 | + | 0.273493i | \(0.911821\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −18.0000 | + | 31.1769i | −0.910299 | + | 1.57668i | ||||
\(392\) | −4.50000 | − | 7.79423i | −0.227284 | − | 0.393668i | ||||
\(393\) | 8.45723 | + | 3.07818i | 0.426611 | + | 0.155274i | ||||
\(394\) | 3.12567 | − | 17.7265i | 0.157469 | − | 0.893050i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 5.63816 | − | 2.05212i | 0.283328 | − | 0.103123i | ||||
\(397\) | −7.66044 | − | 6.42788i | −0.384467 | − | 0.322606i | 0.429986 | − | 0.902835i | \(-0.358518\pi\) |
−0.814453 | + | 0.580230i | \(0.802963\pi\) | |||||||
\(398\) | −10.0000 | −0.501255 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −5.00000 | −0.250000 | ||||||||
\(401\) | 20.6832 | + | 17.3553i | 1.03287 | + | 0.866681i | 0.991190 | − | 0.132450i | \(-0.0422845\pi\) |
0.0416801 | + | 0.999131i | \(0.486729\pi\) | |||||||
\(402\) | 6.57785 | − | 2.39414i | 0.328073 | − | 0.119409i | ||||
\(403\) | 0.694593 | + | 3.93923i | 0.0346001 | + | 0.196227i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −15.0000 | + | 25.9808i | −0.743522 | + | 1.28782i | ||||
\(408\) | 4.59627 | − | 3.85673i | 0.227549 | − | 0.190936i | ||||
\(409\) | −3.83022 | + | 3.21394i | −0.189392 | + | 0.158919i | −0.732554 | − | 0.680709i | \(-0.761672\pi\) |
0.543161 | + | 0.839628i | \(0.317227\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 4.50000 | + | 7.79423i | 0.221969 | + | 0.384461i | ||||
\(412\) | 1.87939 | + | 0.684040i | 0.0925907 | + | 0.0337002i | ||||
\(413\) | −6.25133 | + | 35.4531i | −0.307608 | + | 1.74453i | ||||
\(414\) | 2.08378 | + | 11.8177i | 0.102412 | + | 0.580808i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −1.53209 | − | 1.28558i | −0.0751168 | − | 0.0630305i | ||||
\(417\) | −11.0000 | −0.538672 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −12.0000 | −0.586238 | −0.293119 | − | 0.956076i | \(-0.594693\pi\) | ||||
−0.293119 | + | 0.956076i | \(0.594693\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −9.39693 | + | 3.42020i | −0.457978 | + | 0.166690i | −0.560699 | − | 0.828020i | \(-0.689467\pi\) |
0.102721 | + | 0.994710i | \(0.467245\pi\) | |||||||
\(422\) | −3.47296 | − | 19.6962i | −0.169061 | − | 0.958794i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 5.63816 | + | 2.05212i | 0.273813 | + | 0.0996598i | ||||
\(425\) | −15.0000 | − | 25.9808i | −0.727607 | − | 1.26025i | ||||
\(426\) | 3.00000 | − | 5.19615i | 0.145350 | − | 0.251754i | ||||
\(427\) | 12.2567 | − | 10.2846i | 0.593144 | − | 0.497707i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −3.00000 | + | 5.19615i | −0.144841 | + | 0.250873i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −28.1908 | − | 10.2606i | −1.35790 | − | 0.494236i | −0.442497 | − | 0.896770i | \(-0.645907\pi\) |
−0.915405 | + | 0.402534i | \(0.868129\pi\) | |||||||
\(432\) | 0.868241 | − | 4.92404i | 0.0417733 | − | 0.236908i | ||||
\(433\) | −4.51485 | − | 25.6050i | −0.216970 | − | 1.23050i | −0.877455 | − | 0.479659i | \(-0.840760\pi\) |
0.660485 | − | 0.750839i | \(-0.270351\pi\) | |||||||
\(434\) | −7.51754 | + | 2.73616i | −0.360854 | + | 0.131340i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 16.0000 | 0.766261 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 1.00000 | 0.0477818 | ||||||||
\(439\) | −10.7246 | − | 8.99903i | −0.511858 | − | 0.429500i | 0.349924 | − | 0.936778i | \(-0.386207\pi\) |
−0.861783 | + | 0.507278i | \(0.830652\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −3.12567 | − | 17.7265i | −0.148841 | − | 0.844121i | ||||
\(442\) | 2.08378 | − | 11.8177i | 0.0991152 | − | 0.562110i | ||||
\(443\) | −8.45723 | − | 3.07818i | −0.401815 | − | 0.146249i | 0.133204 | − | 0.991089i | \(-0.457473\pi\) |
−0.535019 | + | 0.844840i | \(0.679696\pi\) | |||||||
\(444\) | 5.00000 | + | 8.66025i | 0.237289 | + | 0.410997i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −10.7246 | + | 8.99903i | −0.507826 | + | 0.426116i | ||||
\(447\) | −13.7888 | + | 11.5702i | −0.652188 | + | 0.547251i | ||||
\(448\) | 2.00000 | − | 3.46410i | 0.0944911 | − | 0.163663i | ||||
\(449\) | 4.50000 | + | 7.79423i | 0.212368 | + | 0.367832i | 0.952455 | − | 0.304679i | \(-0.0985491\pi\) |
−0.740087 | + | 0.672511i | \(0.765216\pi\) | |||||||
\(450\) | −9.39693 | − | 3.42020i | −0.442975 | − | 0.161230i | ||||
\(451\) | −4.68850 | + | 26.5898i | −0.220773 | + | 1.25207i | ||||
\(452\) | −2.60472 | − | 14.7721i | −0.122516 | − | 0.694822i | ||||
\(453\) | 9.39693 | − | 3.42020i | 0.441506 | − | 0.160695i | ||||
\(454\) | −2.29813 | − | 1.92836i | −0.107857 | − | 0.0905026i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 5.00000 | 0.233890 | 0.116945 | − | 0.993138i | \(-0.462690\pi\) | ||||
0.116945 | + | 0.993138i | \(0.462690\pi\) | |||||||
\(458\) | −12.2567 | − | 10.2846i | −0.572718 | − | 0.480568i | ||||
\(459\) | 28.1908 | − | 10.2606i | 1.31583 | − | 0.478924i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 1.04189 | − | 5.90885i | 0.0485256 | − | 0.275202i | −0.950884 | − | 0.309546i | \(-0.899823\pi\) |
0.999410 | + | 0.0343436i | \(0.0109340\pi\) | |||||||
\(462\) | −11.2763 | − | 4.10424i | −0.524621 | − | 0.190947i | ||||
\(463\) | 17.0000 | + | 29.4449i | 0.790057 | + | 1.36842i | 0.925931 | + | 0.377693i | \(0.123282\pi\) |
−0.135874 | + | 0.990726i | \(0.543384\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 2.29813 | − | 1.92836i | 0.106459 | − | 0.0893297i | ||||
\(467\) | 13.5000 | − | 23.3827i | 0.624705 | − | 1.08202i | −0.363892 | − | 0.931441i | \(-0.618552\pi\) |
0.988598 | − | 0.150581i | \(-0.0481143\pi\) | |||||||
\(468\) | −2.00000 | − | 3.46410i | −0.0924500 | − | 0.160128i | ||||
\(469\) | 26.3114 | + | 9.57656i | 1.21495 | + | 0.442205i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 2.77837 | + | 15.7569i | 0.128021 | + | 0.726041i | ||||
\(472\) | −8.45723 | + | 3.07818i | −0.389276 | + | 0.141685i | ||||
\(473\) | −9.19253 | − | 7.71345i | −0.422673 | − | 0.354665i | ||||
\(474\) | −4.00000 | −0.183726 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 24.0000 | 1.10004 | ||||||||
\(477\) | 9.19253 | + | 7.71345i | 0.420897 | + | 0.353175i | ||||
\(478\) | 11.2763 | − | 4.10424i | 0.515766 | − | 0.187724i | ||||
\(479\) | 6.25133 | + | 35.4531i | 0.285631 | + | 1.61989i | 0.703024 | + | 0.711166i | \(0.251833\pi\) |
−0.417393 | + | 0.908726i | \(0.637056\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 18.7939 | + | 6.84040i | 0.856926 | + | 0.311896i | ||||
\(482\) | 2.50000 | + | 4.33013i | 0.113872 | + | 0.197232i | ||||
\(483\) | 12.0000 | − | 20.7846i | 0.546019 | − | 0.945732i | ||||
\(484\) | −1.53209 | + | 1.28558i | −0.0696404 | + | 0.0584352i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 8.00000 | − | 13.8564i | 0.362887 | − | 0.628539i | ||||
\(487\) | 1.00000 | + | 1.73205i | 0.0453143 | + | 0.0784867i | 0.887793 | − | 0.460243i | \(-0.152238\pi\) |
−0.842479 | + | 0.538730i | \(0.818904\pi\) | |||||||
\(488\) | 3.75877 | + | 1.36808i | 0.170152 | + | 0.0619301i | ||||
\(489\) | 3.29932 | − | 18.7113i | 0.149200 | − | 0.846156i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 0 | 0 | −0.342020 | − | 0.939693i | \(-0.611111\pi\) | ||||
0.342020 | + | 0.939693i | \(0.388889\pi\) | |||||||
\(492\) | 6.89440 | + | 5.78509i | 0.310824 | + | 0.260812i | ||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.53209 | − | 1.28558i | −0.0687928 | − | 0.0577240i | ||||
\(497\) | 22.5526 | − | 8.20848i | 1.01162 | − | 0.368201i | ||||
\(498\) | −0.520945 | − | 2.95442i | −0.0233441 | − | 0.132391i | ||||
\(499\) | −4.34120 | + | 24.6202i | −0.194339 | + | 1.10215i | 0.719018 | + | 0.694991i | \(0.244592\pi\) |
−0.913357 | + | 0.407160i | \(0.866519\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 12.0000 | + | 20.7846i | 0.536120 | + | 0.928588i | ||||
\(502\) | 1.50000 | − | 2.59808i | 0.0669483 | − | 0.115958i | ||||
\(503\) | 4.59627 | − | 3.85673i | 0.204937 | − | 0.171963i | −0.534542 | − | 0.845142i | \(-0.679516\pi\) |
0.739480 | + | 0.673179i | \(0.235072\pi\) | |||||||
\(504\) | 6.12836 | − | 5.14230i | 0.272979 | − | 0.229056i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 9.00000 | + | 15.5885i | 0.400099 | + | 0.692991i | ||||
\(507\) | −8.45723 | − | 3.07818i | −0.375599 | − | 0.136707i | ||||
\(508\) | −0.347296 | + | 1.96962i | −0.0154088 | + | 0.0873876i | ||||
\(509\) | 4.16756 | + | 23.6354i | 0.184724 | + | 1.04762i | 0.926310 | + | 0.376762i | \(0.122963\pi\) |
−0.741586 | + | 0.670858i | \(0.765926\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 3.06418 | + | 2.57115i | 0.135551 | + | 0.113741i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −3.00000 | −0.132324 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −3.75877 | + | 1.36808i | −0.165471 | + | 0.0602264i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | −6.94593 | + | 39.3923i | −0.305187 | + | 1.73080i | ||||
\(519\) | −5.63816 | − | 2.05212i | −0.247488 | − | 0.0900781i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 4.50000 | − | 7.79423i | 0.197149 | − | 0.341471i | −0.750454 | − | 0.660922i | \(-0.770165\pi\) |
0.947603 | + | 0.319451i | \(0.103499\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 21.4492 | − | 17.9981i | 0.937910 | − | 0.787000i | −0.0393104 | − | 0.999227i | \(-0.512516\pi\) |
0.977220 | + | 0.212227i | \(0.0680717\pi\) | |||||||
\(524\) | −4.50000 | + | 7.79423i | −0.196583 | + | 0.340492i | ||||
\(525\) | 10.0000 | + | 17.3205i | 0.436436 | + | 0.755929i | ||||
\(526\) | 11.2763 | + | 4.10424i | 0.491671 | + | 0.178953i | ||||
\(527\) | 2.08378 | − | 11.8177i | 0.0907708 | − | 0.514787i | ||||
\(528\) | −0.520945 | − | 2.95442i | −0.0226712 | − | 0.128575i | ||||
\(529\) | −12.2160 | + | 4.44626i | −0.531131 | + | 0.193316i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −18.0000 | −0.781133 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 18.0000 | 0.779667 | ||||||||
\(534\) | 4.59627 | + | 3.85673i | 0.198900 | + | 0.166897i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 1.21554 | + | 6.89365i | 0.0525032 | + | 0.297761i | ||||
\(537\) | 1.56283 | − | 8.86327i | 0.0674412 | − | 0.382478i | ||||
\(538\) | 11.2763 | + | 4.10424i | 0.486156 | + | 0.176946i | ||||
\(539\) | −13.5000 | − | 23.3827i | −0.581486 | − | 1.00716i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 33.7060 | − | 28.2827i | 1.44913 | − | 1.21597i | 0.515922 | − | 0.856636i | \(-0.327449\pi\) |
0.933210 | − | 0.359331i | \(-0.116995\pi\) | |||||||
\(542\) | −12.2567 | + | 10.2846i | −0.526471 | + | 0.441761i | ||||
\(543\) | −1.00000 | + | 1.73205i | −0.0429141 | + | 0.0743294i | ||||
\(544\) | 3.00000 | + | 5.19615i | 0.128624 | + | 0.222783i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −1.38919 | + | 7.87846i | −0.0594516 | + | 0.337167i | ||||
\(547\) | 0.694593 | + | 3.93923i | 0.0296986 | + | 0.168429i | 0.996050 | − | 0.0887974i | \(-0.0283024\pi\) |
−0.966351 | + | 0.257227i | \(0.917191\pi\) | |||||||
\(548\) | −8.45723 | + | 3.07818i | −0.361275 | + | 0.131493i | ||||
\(549\) | 6.12836 | + | 5.14230i | 0.261552 | + | 0.219468i | ||||
\(550\) | −15.0000 | −0.639602 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 6.00000 | 0.255377 | ||||||||
\(553\) | −12.2567 | − | 10.2846i | −0.521208 | − | 0.437346i | ||||
\(554\) | −7.51754 | + | 2.73616i | −0.319390 | + | 0.116248i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1.91013 | − | 10.8329i | 0.0810076 | − | 0.459417i | ||||
\(557\) | −22.5526 | − | 8.20848i | −0.955585 | − | 0.347805i | −0.183283 | − | 0.983060i | \(-0.558673\pi\) |
−0.772302 | + | 0.635256i | \(0.780895\pi\) | |||||||
\(558\) | −2.00000 | − | 3.46410i | −0.0846668 | − | 0.146647i | ||||
\(559\) | −4.00000 | + | 6.92820i | −0.169182 | + | 0.293032i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 13.7888 | − | 11.5702i | 0.582164 | − | 0.488493i | ||||
\(562\) | 13.5000 | − | 23.3827i | 0.569463 | − | 0.986339i | ||||
\(563\) | −10.5000 | − | 18.1865i | −0.442522 | − | 0.766471i | 0.555354 | − | 0.831614i | \(-0.312583\pi\) |
−0.997876 | + | 0.0651433i | \(0.979250\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 0.868241 | + | 4.92404i | 0.0364949 | + | 0.206973i | ||||
\(567\) | 3.75877 | − | 1.36808i | 0.157854 | − | 0.0574540i | ||||
\(568\) | 4.59627 | + | 3.85673i | 0.192855 | + | 0.161825i | ||||
\(569\) | 6.00000 | 0.251533 | 0.125767 | − | 0.992060i | \(-0.459861\pi\) | ||||
0.125767 | + | 0.992060i | \(0.459861\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −7.00000 | −0.292941 | −0.146470 | − | 0.989215i | \(-0.546791\pi\) | ||||
−0.146470 | + | 0.989215i | \(0.546791\pi\) | |||||||
\(572\) | −4.59627 | − | 3.85673i | −0.192180 | − | 0.161258i | ||||
\(573\) | 11.2763 | − | 4.10424i | 0.471075 | − | 0.171457i | ||||
\(574\) | 6.25133 | + | 35.4531i | 0.260926 | + | 1.47978i | ||||
\(575\) | 5.20945 | − | 29.5442i | 0.217249 | − | 1.23208i | ||||
\(576\) | 1.87939 | + | 0.684040i | 0.0783077 | + | 0.0285017i | ||||
\(577\) | −5.50000 | − | 9.52628i | −0.228968 | − | 0.396584i | 0.728535 | − | 0.685009i | \(-0.240202\pi\) |
−0.957503 | + | 0.288425i | \(0.906868\pi\) | |||||||
\(578\) | −9.50000 | + | 16.4545i | −0.395148 | + | 0.684416i | ||||
\(579\) | 1.53209 | − | 1.28558i | 0.0636714 | − | 0.0534267i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 6.00000 | − | 10.3923i | 0.248922 | − | 0.431145i | ||||
\(582\) | −8.50000 | − | 14.7224i | −0.352336 | − | 0.610264i | ||||
\(583\) | 16.9145 | + | 6.15636i | 0.700526 | + | 0.254970i | ||||
\(584\) | −0.173648 | + | 0.984808i | −0.00718561 | + | 0.0407516i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 22.5526 | − | 8.20848i | 0.931640 | − | 0.339089i | ||||
\(587\) | −9.19253 | − | 7.71345i | −0.379416 | − | 0.318368i | 0.433057 | − | 0.901367i | \(-0.357435\pi\) |
−0.812473 | + | 0.582998i | \(0.801879\pi\) | |||||||
\(588\) | −9.00000 | −0.371154 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −13.7888 | − | 11.5702i | −0.567195 | − | 0.475933i | ||||
\(592\) | −9.39693 | + | 3.42020i | −0.386211 | + | 0.140569i | ||||
\(593\) | −3.64661 | − | 20.6810i | −0.149748 | − | 0.849265i | −0.963431 | − | 0.267956i | \(-0.913652\pi\) |
0.813683 | − | 0.581309i | \(-0.197459\pi\) | |||||||
\(594\) | 2.60472 | − | 14.7721i | 0.106873 | − | 0.606107i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −9.00000 | − | 15.5885i | −0.368654 | − | 0.638528i | ||||
\(597\) | −5.00000 | + | 8.66025i | −0.204636 | + | 0.354441i | ||||
\(598\) | 9.19253 | − | 7.71345i | 0.375911 | − | 0.315426i | ||||
\(599\) | 4.59627 | − | 3.85673i | 0.187798 | − | 0.157582i | −0.544041 | − | 0.839059i | \(-0.683106\pi\) |
0.731840 | + | 0.681477i | \(0.238662\pi\) | |||||||
\(600\) | −2.50000 | + | 4.33013i | −0.102062 | + | 0.176777i | ||||
\(601\) | −6.50000 | − | 11.2583i | −0.265141 | − | 0.459237i | 0.702460 | − | 0.711723i | \(-0.252085\pi\) |
−0.967600 | + | 0.252486i | \(0.918752\pi\) | |||||||
\(602\) | −15.0351 | − | 5.47232i | −0.612784 | − | 0.223035i | ||||
\(603\) | −2.43107 | + | 13.7873i | −0.0990010 | + | 0.561463i | ||||
\(604\) | 1.73648 | + | 9.84808i | 0.0706564 | + | 0.400713i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −20.0000 | −0.811775 | −0.405887 | − | 0.913923i | \(-0.633038\pi\) | ||||
−0.405887 | + | 0.913923i | \(0.633038\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 2.08378 | + | 11.8177i | 0.0842317 | + | 0.477702i | ||||
\(613\) | 0.347296 | − | 1.96962i | 0.0140272 | − | 0.0795520i | −0.976991 | − | 0.213282i | \(-0.931585\pi\) |
0.991018 | + | 0.133730i | \(0.0426956\pi\) | |||||||
\(614\) | −6.57785 | − | 2.39414i | −0.265460 | − | 0.0966197i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 6.00000 | − | 10.3923i | 0.241747 | − | 0.418718i | ||||
\(617\) | 2.29813 | − | 1.92836i | 0.0925194 | − | 0.0776330i | −0.595355 | − | 0.803463i | \(-0.702989\pi\) |
0.687874 | + | 0.725830i | \(0.258544\pi\) | |||||||
\(618\) | 1.53209 | − | 1.28558i | 0.0616297 | − | 0.0517134i | ||||
\(619\) | 2.00000 | − | 3.46410i | 0.0803868 | − | 0.139234i | −0.823029 | − | 0.567999i | \(-0.807718\pi\) |
0.903416 | + | 0.428765i | \(0.141051\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 28.1908 | + | 10.2606i | 1.13126 | + | 0.411744i | ||||
\(622\) | −5.20945 | + | 29.5442i | −0.208880 | + | 1.18462i | ||||
\(623\) | 4.16756 | + | 23.6354i | 0.166970 | + | 0.946932i | ||||
\(624\) | −1.87939 | + | 0.684040i | −0.0752356 | + | 0.0273835i | ||||
\(625\) | 19.1511 | + | 16.0697i | 0.766044 | + | 0.642788i | ||||
\(626\) | −19.0000 | −0.759393 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −16.0000 | −0.638470 | ||||||||
\(629\) | −45.9627 | − | 38.5673i | −1.83265 | − | 1.53778i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −4.86215 | − | 27.5746i | −0.193559 | − | 1.09773i | −0.914456 | − | 0.404686i | \(-0.867381\pi\) |
0.720897 | − | 0.693042i | \(-0.243730\pi\) | |||||||
\(632\) | 0.694593 | − | 3.93923i | 0.0276294 | − | 0.156694i | ||||
\(633\) | −18.7939 | − | 6.84040i | −0.746989 | − | 0.271882i | ||||
\(634\) | −9.00000 | − | 15.5885i | −0.357436 | − | 0.619097i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 4.59627 | − | 3.85673i | 0.182254 | − | 0.152929i | ||||
\(637\) | −13.7888 | + | 11.5702i | −0.546332 | + | 0.458427i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 6.00000 | + | 10.3923i | 0.237356 | + | 0.411113i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 6.77228 | − | 38.4075i | 0.267489 | − | 1.51701i | −0.494364 | − | 0.869255i | \(-0.664599\pi\) |
0.761853 | − | 0.647750i | \(-0.224290\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 40.4068 | − | 14.7069i | 1.59349 | − | 0.579982i | 0.615407 | − | 0.788209i | \(-0.288991\pi\) |
0.978081 | + | 0.208227i | \(0.0667693\pi\) | |||||||
\(644\) | 18.3851 | + | 15.4269i | 0.724473 | + | 0.607905i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 18.0000 | 0.707653 | 0.353827 | − | 0.935311i | \(-0.384880\pi\) | ||||
0.353827 | + | 0.935311i | \(0.384880\pi\) | |||||||
\(648\) | 0.766044 | + | 0.642788i | 0.0300931 | + | 0.0252511i | ||||
\(649\) | −25.3717 | + | 9.23454i | −0.995926 | + | 0.362488i | ||||
\(650\) | 1.73648 | + | 9.84808i | 0.0681104 | + | 0.386273i | ||||
\(651\) | −1.38919 | + | 7.87846i | −0.0544465 | + | 0.308781i | ||||
\(652\) | 17.8542 | + | 6.49838i | 0.699223 | + | 0.254496i | ||||
\(653\) | 6.00000 | + | 10.3923i | 0.234798 | + | 0.406682i | 0.959214 | − | 0.282681i | \(-0.0912238\pi\) |
−0.724416 | + | 0.689363i | \(0.757890\pi\) | |||||||
\(654\) | 8.00000 | − | 13.8564i | 0.312825 | − | 0.541828i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −6.89440 | + | 5.78509i | −0.269181 | + | 0.225870i | ||||
\(657\) | −1.00000 | + | 1.73205i | −0.0390137 | + | 0.0675737i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 33.8289 | + | 12.3127i | 1.31779 | + | 0.479636i | 0.902749 | − | 0.430168i | \(-0.141546\pi\) |
0.415039 | + | 0.909804i | \(0.363768\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 6.94593 | + | 39.3923i | 0.270165 | + | 1.53218i | 0.753912 | + | 0.656975i | \(0.228164\pi\) |
−0.483747 | + | 0.875208i | \(0.660724\pi\) | |||||||
\(662\) | 4.69846 | − | 1.71010i | 0.182611 | − | 0.0664650i | ||||
\(663\) | −9.19253 | − | 7.71345i | −0.357008 | − | 0.299566i | ||||
\(664\) | 3.00000 | 0.116423 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −20.0000 | −0.774984 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | −22.5526 | + | 8.20848i | −0.872587 | + | 0.317596i | ||||
\(669\) | 2.43107 | + | 13.7873i | 0.0939908 | + | 0.533048i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 11.2763 | + | 4.10424i | 0.435317 | + | 0.158442i | ||||
\(672\) | −2.00000 | − | 3.46410i | −0.0771517 | − | 0.133631i | ||||
\(673\) | 7.00000 | − | 12.1244i | 0.269830 | − | 0.467360i | −0.698988 | − | 0.715134i | \(-0.746366\pi\) |
0.968818 | + | 0.247774i | \(0.0796991\pi\) | |||||||
\(674\) | −8.42649 | + | 7.07066i | −0.324576 | + | 0.272352i | ||||
\(675\) | −19.1511 | + | 16.0697i | −0.737127 | + | 0.618523i | ||||
\(676\) | 4.50000 | − | 7.79423i | 0.173077 | − | 0.299778i | ||||
\(677\) | −21.0000 | − | 36.3731i | −0.807096 | − | 1.39793i | −0.914867 | − | 0.403755i | \(-0.867705\pi\) |
0.107772 | − | 0.994176i | \(-0.465628\pi\) | |||||||
\(678\) | −14.0954 | − | 5.13030i | −0.541330 | − | 0.197028i | ||||
\(679\) | 11.8081 | − | 66.9669i | 0.453152 | − | 2.56995i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −2.81908 | + | 1.02606i | −0.108027 | + | 0.0393187i | ||||
\(682\) | −4.59627 | − | 3.85673i | −0.176000 | − | 0.147682i | ||||
\(683\) | 36.0000 | 1.37750 | 0.688751 | − | 0.724998i | \(-0.258159\pi\) | ||||
0.688751 | + | 0.724998i | \(0.258159\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −6.12836 | − | 5.14230i | −0.233982 | − | 0.196334i | ||||
\(687\) | −15.0351 | + | 5.47232i | −0.573624 | + | 0.208782i | ||||
\(688\) | −0.694593 | − | 3.93923i | −0.0264811 | − | 0.150182i | ||||
\(689\) | 2.08378 | − | 11.8177i | 0.0793856 | − | 0.450218i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −22.0000 | − | 38.1051i | −0.836919 | − | 1.44959i | −0.892458 | − | 0.451130i | \(-0.851021\pi\) |
0.0555386 | − | 0.998457i | \(-0.482312\pi\) | |||||||
\(692\) | 3.00000 | − | 5.19615i | 0.114043 | − | 0.197528i | ||||
\(693\) | 18.3851 | − | 15.4269i | 0.698391 | − | 0.586020i | ||||
\(694\) | −6.89440 | + | 5.78509i | −0.261708 | + | 0.219599i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −50.7434 | − | 18.4691i | −1.92204 | − | 0.699567i | ||||
\(698\) | −0.694593 | + | 3.93923i | −0.0262907 | + | 0.149102i | ||||
\(699\) | −0.520945 | − | 2.95442i | −0.0197039 | − | 0.111747i | ||||
\(700\) | −18.7939 | + | 6.84040i | −0.710341 | + | 0.258543i | ||||
\(701\) | −18.3851 | − | 15.4269i | −0.694394 | − | 0.582666i | 0.225778 | − | 0.974179i | \(-0.427507\pi\) |
−0.920173 | + | 0.391513i | \(0.871952\pi\) | |||||||
\(702\) | −10.0000 | −0.377426 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 3.00000 | 0.113067 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −2.81908 | + | 1.02606i | −0.106097 | + | 0.0386163i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −1.56283 | + | 8.86327i | −0.0587349 | + | 0.333102i | ||||
\(709\) | −13.1557 | − | 4.78828i | −0.494073 | − | 0.179828i | 0.0829535 | − | 0.996553i | \(-0.473565\pi\) |
−0.577026 | + | 0.816726i | \(0.695787\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 4.00000 | − | 6.92820i | 0.150012 | − | 0.259828i | ||||
\(712\) | −4.59627 | + | 3.85673i | −0.172252 | + | 0.144537i | ||||
\(713\) | 9.19253 | − | 7.71345i | 0.344263 | − | 0.288871i | ||||
\(714\) | 12.0000 | − | 20.7846i | 0.449089 | − | 0.777844i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 8.45723 | + | 3.07818i | 0.316062 | + | 0.115037i | ||||
\(717\) | 2.08378 | − | 11.8177i | 0.0778201 | − | 0.441340i | ||||
\(718\) | −1.04189 | − | 5.90885i | −0.0388830 | − | 0.220516i | ||||
\(719\) | −28.1908 | + | 10.2606i | −1.05134 | + | 0.382656i | −0.809168 | − | 0.587578i | \(-0.800082\pi\) |
−0.242171 | + | 0.970234i | \(0.577859\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 8.00000 | 0.297936 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 5.00000 | 0.185952 | ||||||||
\(724\) | −1.53209 | − | 1.28558i | −0.0569396 | − | 0.0477780i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0.347296 | + | 1.96962i | 0.0128894 | + | 0.0730993i | ||||
\(727\) | 5.55674 | − | 31.5138i | 0.206088 | − | 1.16878i | −0.689630 | − | 0.724162i | \(-0.742227\pi\) |
0.895718 | − | 0.444622i | \(-0.146662\pi\) | |||||||
\(728\) | −7.51754 | − | 2.73616i | −0.278619 | − | 0.101409i | ||||
\(729\) | −6.50000 | − | 11.2583i | −0.240741 | − | 0.416975i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 18.3851 | − | 15.4269i | 0.679996 | − | 0.570585i | ||||
\(732\) | 3.06418 | − | 2.57115i | 0.113255 | − | 0.0950325i | ||||
\(733\) | 11.0000 | − | 19.0526i | 0.406294 | − | 0.703722i | −0.588177 | − | 0.808732i | \(-0.700154\pi\) |
0.994471 | + | 0.105010i | \(0.0334875\pi\) | |||||||
\(734\) | 11.0000 | + | 19.0526i | 0.406017 | + | 0.703243i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1.04189 | + | 5.90885i | −0.0384045 | + | 0.217803i | ||||
\(737\) | 3.64661 | + | 20.6810i | 0.134325 | + | 0.761793i | ||||
\(738\) | −16.9145 | + | 6.15636i | −0.622630 | + | 0.226619i | ||||
\(739\) | 26.8116 | + | 22.4976i | 0.986279 | + | 0.827586i | 0.985025 | − | 0.172413i | \(-0.0551563\pi\) |
0.00125424 | + | 0.999999i | \(0.499601\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 24.0000 | 0.881068 | ||||||||
\(743\) | 13.7888 | + | 11.5702i | 0.505862 | + | 0.424469i | 0.859670 | − | 0.510849i | \(-0.170669\pi\) |
−0.353808 | + | 0.935318i | \(0.615113\pi\) | |||||||
\(744\) | −1.87939 | + | 0.684040i | −0.0689016 | + | 0.0250781i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 0.694593 | − | 3.93923i | 0.0254308 | − | 0.144225i | ||||
\(747\) | 5.63816 | + | 2.05212i | 0.206289 | + | 0.0750832i | ||||
\(748\) | 9.00000 | + | 15.5885i | 0.329073 | + | 0.569970i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −29.1097 | + | 24.4259i | −1.06223 | + | 0.891315i | −0.994326 | − | 0.106377i | \(-0.966075\pi\) |
−0.0679018 | + | 0.997692i | \(0.521630\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −1.50000 | − | 2.59808i | −0.0546630 | − | 0.0946792i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −3.47296 | − | 19.6962i | −0.126310 | − | 0.716342i | ||||
\(757\) | 9.39693 | − | 3.42020i | 0.341537 | − | 0.124309i | −0.165557 | − | 0.986200i | \(-0.552942\pi\) |
0.507094 | + | 0.861891i | \(0.330720\pi\) | |||||||
\(758\) | 21.4492 | + | 17.9981i | 0.779072 | + | 0.653719i | ||||
\(759\) | 18.0000 | 0.653359 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −39.0000 | −1.41375 | −0.706874 | − | 0.707339i | \(-0.749895\pi\) | ||||
−0.706874 | + | 0.707339i | \(0.749895\pi\) | |||||||
\(762\) | 1.53209 | + | 1.28558i | 0.0555017 | + | 0.0465715i | ||||
\(763\) | 60.1403 | − | 21.8893i | 2.17723 | − | 0.792445i | ||||
\(764\) | 2.08378 | + | 11.8177i | 0.0753884 | + | 0.427549i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −33.8289 | − | 12.3127i | −1.22229 | − | 0.444877i | ||||
\(767\) | 9.00000 | + | 15.5885i | 0.324971 | + | 0.562867i | ||||
\(768\) | 0.500000 | − | 0.866025i | 0.0180422 | − | 0.0312500i | ||||
\(769\) | 1.53209 | − | 1.28558i | 0.0552485 | − | 0.0463590i | −0.614745 | − | 0.788726i | \(-0.710741\pi\) |
0.669994 | + | 0.742367i | \(0.266297\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −1.50000 | + | 2.59808i | −0.0540212 | + | 0.0935674i | ||||
\(772\) | 1.00000 | + | 1.73205i | 0.0359908 | + | 0.0623379i | ||||
\(773\) | −45.1052 | − | 16.4170i | −1.62232 | − | 0.590477i | −0.638500 | − | 0.769622i | \(-0.720445\pi\) |
−0.983823 | + | 0.179144i | \(0.942667\pi\) | |||||||
\(774\) | 1.38919 | − | 7.87846i | 0.0499332 | − | 0.283185i | ||||
\(775\) | 1.73648 | + | 9.84808i | 0.0623763 | + | 0.353753i | ||||
\(776\) | 15.9748 | − | 5.81434i | 0.573461 | − | 0.208723i | ||||
\(777\) | 30.6418 | + | 25.7115i | 1.09927 | + | 0.922395i | ||||
\(778\) | −36.0000 | −1.29066 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 13.7888 | + | 11.5702i | 0.493402 | + | 0.414013i | ||||
\(782\) | −33.8289 | + | 12.3127i | −1.20972 | + | 0.440302i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 1.56283 | − | 8.86327i | 0.0558155 | − | 0.316545i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 4.50000 | + | 7.79423i | 0.160510 | + | 0.278011i | ||||
\(787\) | −3.50000 | + | 6.06218i | −0.124762 | + | 0.216093i | −0.921640 | − | 0.388047i | \(-0.873150\pi\) |
0.796878 | + | 0.604140i | \(0.206483\pi\) | |||||||
\(788\) | 13.7888 | − | 11.5702i | 0.491206 | − | 0.412170i | ||||
\(789\) | 9.19253 | − | 7.71345i | 0.327263 | − | 0.274606i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −30.0000 | − | 51.9615i | −1.06668 | − | 1.84754i | ||||
\(792\) | 5.63816 | + | 2.05212i | 0.200343 | + | 0.0729189i | ||||
\(793\) | 1.38919 | − | 7.87846i | 0.0493314 | − | 0.279772i | ||||
\(794\) | −1.73648 | − | 9.84808i | −0.0616254 | − | 0.349495i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −7.66044 | − | 6.42788i | −0.271517 | − | 0.227830i | ||||
\(797\) | −6.00000 | −0.212531 | −0.106265 | − | 0.994338i | \(-0.533889\pi\) | ||||
−0.106265 | + | 0.994338i | \(0.533889\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | −3.83022 | − | 3.21394i | −0.135419 | − | 0.113630i | ||||
\(801\) | −11.2763 | + | 4.10424i | −0.398429 | + | 0.145016i | ||||
\(802\) | 4.68850 | + | 26.5898i | 0.165557 | + | 0.938919i | ||||
\(803\) | −0.520945 | + | 2.95442i | −0.0183837 | + | 0.104259i | ||||
\(804\) | 6.57785 | + | 2.39414i | 0.231983 | + | 0.0844348i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −2.00000 | + | 3.46410i | −0.0704470 | + | 0.122018i | ||||
\(807\) | 9.19253 | − | 7.71345i | 0.323592 | − | 0.271526i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −22.5000 | + | 38.9711i | −0.791058 | + | 1.37015i | 0.134255 | + | 0.990947i | \(0.457136\pi\) |
−0.925312 | + | 0.379206i | \(0.876197\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −15.0351 | − | 5.47232i | −0.527953 | − | 0.192159i | 0.0642710 | − | 0.997932i | \(-0.479528\pi\) |
−0.592224 | + | 0.805773i | \(0.701750\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 2.77837 | + | 15.7569i | 0.0974417 | + | 0.552619i | ||||
\(814\) | −28.1908 | + | 10.2606i | −0.988086 | + | 0.359634i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 6.00000 | 0.210042 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | −5.00000 | −0.174821 | ||||||||
\(819\) | −12.2567 | − | 10.2846i | −0.428284 | − | 0.359373i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 3.12567 | + | 17.7265i | 0.109087 | + | 0.618660i | 0.989509 | + | 0.144471i | \(0.0461479\pi\) |
−0.880423 | + | 0.474190i | \(0.842741\pi\) | |||||||
\(822\) | −1.56283 | + | 8.86327i | −0.0545101 | + | 0.309142i | ||||
\(823\) | −13.1557 | − | 4.78828i | −0.458579 | − | 0.166909i | 0.102393 | − | 0.994744i | \(-0.467350\pi\) |
−0.560972 | + | 0.827835i | \(0.689572\pi\) | |||||||
\(824\) | 1.00000 | + | 1.73205i | 0.0348367 | + | 0.0603388i | ||||
\(825\) | −7.50000 | + | 12.9904i | −0.261116 | + | 0.452267i | ||||
\(826\) | −27.5776 | + | 23.1404i | −0.959547 | + | 0.805156i | ||||
\(827\) | 29.8757 | − | 25.0687i | 1.03888 | − | 0.871725i | 0.0470001 | − | 0.998895i | \(-0.485034\pi\) |
0.991881 | + | 0.127170i | \(0.0405894\pi\) | |||||||
\(828\) | −6.00000 | + | 10.3923i | −0.208514 | + | 0.361158i | ||||
\(829\) | 22.0000 | + | 38.1051i | 0.764092 | + | 1.32345i | 0.940726 | + | 0.339169i | \(0.110146\pi\) |
−0.176634 | + | 0.984277i | \(0.556521\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −1.38919 | + | 7.87846i | −0.0481903 | + | 0.273301i | ||||
\(832\) | −0.347296 | − | 1.96962i | −0.0120403 | − | 0.0682841i | ||||
\(833\) | 50.7434 | − | 18.4691i | 1.75815 | − | 0.639916i | ||||
\(834\) | −8.42649 | − | 7.07066i | −0.291785 | − | 0.244837i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −10.0000 | −0.345651 | ||||||||
\(838\) | −9.19253 | − | 7.71345i | −0.317551 | − | 0.266457i | ||||
\(839\) | −11.2763 | + | 4.10424i | −0.389302 | + | 0.141694i | −0.529253 | − | 0.848464i | \(-0.677528\pi\) |
0.139951 | + | 0.990158i | \(0.455305\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −5.03580 | + | 28.5594i | −0.173648 | + | 0.984808i | ||||
\(842\) | −9.39693 | − | 3.42020i | −0.323839 | − | 0.117868i | ||||
\(843\) | −13.5000 | − | 23.3827i | −0.464965 | − | 0.805342i | ||||
\(844\) | 10.0000 | − | 17.3205i | 0.344214 | − | 0.596196i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −4.00000 | + | 6.92820i | −0.137442 | + | 0.238056i | ||||
\(848\) | 3.00000 | + | 5.19615i | 0.103020 | + | 0.178437i | ||||
\(849\) | 4.69846 | + | 1.71010i | 0.161251 | + | 0.0586905i | ||||
\(850\) | 5.20945 | − | 29.5442i | 0.178683 | − | 1.01336i | ||||
\(851\) | −10.4189 | − | 59.0885i | −0.357155 | − | 2.02553i | ||||
\(852\) | 5.63816 | − | 2.05212i | 0.193160 | − | 0.0703045i | ||||
\(853\) | −16.8530 | − | 14.1413i | −0.577035 | − | 0.484190i | 0.306937 | − | 0.951730i | \(-0.400696\pi\) |
−0.883972 | + | 0.467540i | \(0.845140\pi\) | |||||||
\(854\) | 16.0000 | 0.547509 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 2.29813 | + | 1.92836i | 0.0785027 | + | 0.0658716i | 0.681195 | − | 0.732102i | \(-0.261461\pi\) |
−0.602692 | + | 0.797974i | \(0.705905\pi\) | |||||||
\(858\) | −5.63816 | + | 2.05212i | −0.192483 | + | 0.0700583i | ||||
\(859\) | −7.46687 | − | 42.3467i | −0.254766 | − | 1.44485i | −0.796672 | − | 0.604412i | \(-0.793408\pi\) |
0.541905 | − | 0.840440i | \(-0.317703\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 33.8289 | + | 12.3127i | 1.15289 | + | 0.419617i | ||||
\(862\) | −15.0000 | − | 25.9808i | −0.510902 | − | 0.884908i | ||||
\(863\) | 9.00000 | − | 15.5885i | 0.306364 | − | 0.530637i | −0.671200 | − | 0.741276i | \(-0.734221\pi\) |
0.977564 | + | 0.210639i | \(0.0675543\pi\) | |||||||
\(864\) | 3.83022 | − | 3.21394i | 0.130307 | − | 0.109340i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 13.0000 | − | 22.5167i | 0.441758 | − | 0.765147i | ||||
\(867\) | 9.50000 | + | 16.4545i | 0.322637 | + | 0.558824i | ||||
\(868\) | −7.51754 | − | 2.73616i | −0.255162 | − | 0.0928714i | ||||
\(869\) | 2.08378 | − | 11.8177i | 0.0706873 | − | 0.400888i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 13.1557 | − | 4.78828i | 0.445764 | − | 0.162245i | ||||
\(872\) | 12.2567 | + | 10.2846i | 0.415065 | + | 0.348281i | ||||
\(873\) | 34.0000 | 1.15073 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0.766044 | + | 0.642788i | 0.0258822 | + | 0.0217178i | ||||
\(877\) | 18.7939 | − | 6.84040i | 0.634623 | − | 0.230984i | −0.00461905 | − | 0.999989i | \(-0.501470\pi\) |
0.639242 | + | 0.769005i | \(0.279248\pi\) | |||||||
\(878\) | −2.43107 | − | 13.7873i | −0.0820448 | − | 0.465299i | ||||
\(879\) | 4.16756 | − | 23.6354i | 0.140568 | − | 0.797202i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 4.50000 | + | 7.79423i | 0.151609 | + | 0.262594i | 0.931819 | − | 0.362923i | \(-0.118221\pi\) |
−0.780210 | + | 0.625517i | \(0.784888\pi\) | |||||||
\(882\) | 9.00000 | − | 15.5885i | 0.303046 | − | 0.524891i | ||||
\(883\) | −14.5548 | + | 12.2130i | −0.489810 | + | 0.410999i | −0.853958 | − | 0.520342i | \(-0.825805\pi\) |
0.364149 | + | 0.931341i | \(0.381360\pi\) | |||||||
\(884\) | 9.19253 | − | 7.71345i | 0.309178 | − | 0.259431i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −4.50000 | − | 7.79423i | −0.151180 | − | 0.261852i | ||||
\(887\) | 45.1052 | + | 16.4170i | 1.51449 | + | 0.551228i | 0.959764 | − | 0.280808i | \(-0.0906024\pi\) |
0.554722 | + | 0.832036i | \(0.312825\pi\) | |||||||
\(888\) | −1.73648 | + | 9.84808i | −0.0582725 | + | 0.330480i | ||||
\(889\) | 1.38919 | + | 7.87846i | 0.0465918 | + | 0.264235i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 2.29813 | + | 1.92836i | 0.0769904 | + | 0.0646026i | ||||
\(892\) | −14.0000 | −0.468755 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | −18.0000 | −0.602010 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 3.75877 | − | 1.36808i | 0.125572 | − | 0.0457044i | ||||
\(897\) | −2.08378 | − | 11.8177i | −0.0695753 | − | 0.394581i | ||||
\(898\) | −1.56283 | + | 8.86327i | −0.0521524 | + | 0.295771i | ||||
\(899\) | 0 | 0 | ||||||||
\(900\) | −5.00000 | − | 8.66025i | −0.166667 | − | 0.288675i | ||||
\(901\) | −18.0000 | + | 31.1769i | −0.599667 | + | 1.03865i | ||||
\(902\) | −20.6832 | + | 17.3553i | −0.688675 | + | 0.577867i | ||||
\(903\) | −12.2567 | + | 10.2846i | −0.407878 | + | 0.342250i | ||||
\(904\) | 7.50000 | − | 12.9904i | 0.249446 | − | 0.432054i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 9.39693 | + | 3.42020i | 0.312192 | + | 0.113629i | ||||
\(907\) | −2.95202 | + | 16.7417i | −0.0980202 | + | 0.555900i | 0.895760 | + | 0.444538i | \(0.146632\pi\) |
−0.993780 | + | 0.111362i | \(0.964479\pi\) | |||||||
\(908\) | −0.520945 | − | 2.95442i | −0.0172882 | − | 0.0980460i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −30.0000 | −0.993944 | −0.496972 | − | 0.867766i | \(-0.665555\pi\) | ||||
−0.496972 | + | 0.867766i | \(0.665555\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 9.00000 | 0.297857 | ||||||||
\(914\) | 3.83022 | + | 3.21394i | 0.126692 | + | 0.106308i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −2.77837 | − | 15.7569i | −0.0918000 | − | 0.520623i | ||||
\(917\) | −6.25133 | + | 35.4531i | −0.206437 | + | 1.17076i | ||||
\(918\) | 28.1908 | + | 10.2606i | 0.930434 | + | 0.338650i | ||||
\(919\) | 5.00000 | + | 8.66025i | 0.164935 | + | 0.285675i | 0.936632 | − | 0.350315i | \(-0.113925\pi\) |
−0.771697 | + | 0.635990i | \(0.780592\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −5.36231 | + | 4.49951i | −0.176694 | + | 0.148264i | ||||
\(922\) | 4.59627 | − | 3.85673i | 0.151370 | − | 0.127014i | ||||
\(923\) | 6.00000 | − | 10.3923i | 0.197492 | − | 0.342067i | ||||
\(924\) | −6.00000 | − | 10.3923i | −0.197386 | − | 0.341882i | ||||
\(925\) | 46.9846 | + | 17.1010i | 1.54485 | + | 0.562278i | ||||
\(926\) | −5.90404 | + | 33.4835i | −0.194019 | + | 1.10033i | ||||
\(927\) | 0.694593 | + | 3.93923i | 0.0228134 | + | 0.129381i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −2.29813 | − | 1.92836i | −0.0753993 | − | 0.0632675i | 0.604309 | − | 0.796750i | \(-0.293449\pi\) |
−0.679708 | + | 0.733482i | \(0.737894\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 3.00000 | 0.0982683 | ||||||||
\(933\) | 22.9813 | + | 19.2836i | 0.752375 | + | 0.631318i | ||||
\(934\) | 25.3717 | − | 9.23454i | 0.830187 | − | 0.302164i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0.694593 | − | 3.93923i | 0.0227035 | − | 0.128758i | ||||
\(937\) | −32.8892 | − | 11.9707i | −1.07444 | − | 0.391066i | −0.256608 | − | 0.966516i | \(-0.582605\pi\) |
−0.817837 | + | 0.575450i | \(0.804827\pi\) | |||||||
\(938\) | 14.0000 | + | 24.2487i | 0.457116 | + | 0.791748i | ||||
\(939\) | −9.50000 | + | 16.4545i | −0.310021 | + | 0.536972i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 32.1739 | − | 26.9971i | 1.04884 | − | 0.880080i | 0.0558672 | − | 0.998438i | \(-0.482208\pi\) |
0.992971 | + | 0.118359i | \(0.0377632\pi\) | |||||||
\(942\) | −8.00000 | + | 13.8564i | −0.260654 | + | 0.451466i | ||||
\(943\) | −27.0000 | − | 46.7654i | −0.879241 | − | 1.52289i | ||||
\(944\) | −8.45723 | − | 3.07818i | −0.275260 | − | 0.100186i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −2.08378 | − | 11.8177i | −0.0677495 | − | 0.384226i | ||||
\(947\) | −56.3816 | + | 20.5212i | −1.83215 | + | 0.666850i | −0.839882 | + | 0.542768i | \(0.817376\pi\) |
−0.992272 | + | 0.124081i | \(0.960402\pi\) | |||||||
\(948\) | −3.06418 | − | 2.57115i | −0.0995199 | − | 0.0835071i | ||||
\(949\) | 2.00000 | 0.0649227 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −18.0000 | −0.583690 | ||||||||
\(952\) | 18.3851 | + | 15.4269i | 0.595863 | + | 0.499989i | ||||
\(953\) | −14.0954 | + | 5.13030i | −0.456594 | + | 0.166187i | −0.560070 | − | 0.828445i | \(-0.689226\pi\) |
0.103476 | + | 0.994632i | \(0.467004\pi\) | |||||||
\(954\) | 2.08378 | + | 11.8177i | 0.0674648 | + | 0.382612i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 11.2763 | + | 4.10424i | 0.364702 | + | 0.132741i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −18.0000 | + | 31.1769i | −0.581554 | + | 1.00728i | ||||
\(959\) | −27.5776 | + | 23.1404i | −0.890527 | + | 0.747241i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 13.5000 | − | 23.3827i | 0.435484 | − | 0.754280i | ||||
\(962\) | 10.0000 | + | 17.3205i | 0.322413 | + | 0.558436i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −0.868241 | + | 4.92404i | −0.0279642 | + | 0.158593i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 22.5526 | − | 8.20848i | 0.725619 | − | 0.264104i | ||||
\(967\) | −26.0455 | − | 21.8548i | −0.837567 | − | 0.702802i | 0.119448 | − | 0.992840i | \(-0.461888\pi\) |
−0.957015 | + | 0.290038i | \(0.906332\pi\) | |||||||
\(968\) | −2.00000 | −0.0642824 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −16.0869 | − | 13.4985i | −0.516254 | − | 0.433189i | 0.347069 | − | 0.937839i | \(-0.387177\pi\) |
−0.863324 | + | 0.504651i | \(0.831621\pi\) | |||||||
\(972\) | 15.0351 | − | 5.47232i | 0.482250 | − | 0.175525i | ||||
\(973\) | −7.64052 | − | 43.3315i | −0.244944 | − | 1.38915i | ||||
\(974\) | −0.347296 | + | 1.96962i | −0.0111281 | + | 0.0631106i | ||||
\(975\) | 9.39693 | + | 3.42020i | 0.300942 | + | 0.109534i | ||||
\(976\) | 2.00000 | + | 3.46410i | 0.0640184 | + | 0.110883i | ||||
\(977\) | 16.5000 | − | 28.5788i | 0.527882 | − | 0.914318i | −0.471590 | − | 0.881818i | \(-0.656320\pi\) |
0.999472 | − | 0.0325001i | \(-0.0103469\pi\) | |||||||
\(978\) | 14.5548 | − | 12.2130i | 0.465413 | − | 0.390528i | ||||
\(979\) | −13.7888 | + | 11.5702i | −0.440692 | + | 0.369784i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 16.0000 | + | 27.7128i | 0.510841 | + | 0.884802i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −4.16756 | + | 23.6354i | −0.132924 | + | 0.753852i | 0.843358 | + | 0.537352i | \(0.180575\pi\) |
−0.976283 | + | 0.216500i | \(0.930536\pi\) | |||||||
\(984\) | 1.56283 | + | 8.86327i | 0.0498213 | + | 0.282551i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 24.0000 | 0.763156 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 7.51754 | − | 2.73616i | 0.238803 | − | 0.0869170i | −0.219847 | − | 0.975534i | \(-0.570556\pi\) |
0.458649 | + | 0.888617i | \(0.348333\pi\) | |||||||
\(992\) | −0.347296 | − | 1.96962i | −0.0110267 | − | 0.0625354i | ||||
\(993\) | 0.868241 | − | 4.92404i | 0.0275528 | − | 0.156260i | ||||
\(994\) | 22.5526 | + | 8.20848i | 0.715326 | + | 0.260357i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 1.50000 | − | 2.59808i | 0.0475293 | − | 0.0823232i | ||||
\(997\) | −3.06418 | + | 2.57115i | −0.0970435 | + | 0.0814292i | −0.690019 | − | 0.723792i | \(-0.742398\pi\) |
0.592975 | + | 0.805221i | \(0.297953\pi\) | |||||||
\(998\) | −19.1511 | + | 16.0697i | −0.606218 | + | 0.508677i | ||||
\(999\) | −25.0000 | + | 43.3013i | −0.790965 | + | 1.36999i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))