Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(214,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.214");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.h (of order \(3\), degree \(2\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 10.0.991381711347.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - 2x^{9} + 9x^{8} - 8x^{7} + 40x^{6} - 36x^{5} + 90x^{4} - 3x^{3} + 36x^{2} - 9x + 9 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 373.2 | ||
Root | \(0.920620 + 1.59456i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 441.373 |
Dual form | 441.2.h.f.214.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.84124 | −1.30195 | −0.650977 | − | 0.759098i | \(-0.725641\pi\) | ||||
−0.650977 | + | 0.759098i | \(0.725641\pi\) | |||||||
\(3\) | −1.39291 | + | 1.02946i | −0.804199 | + | 0.594360i | ||||
\(4\) | 1.39017 | 0.695084 | ||||||||
\(5\) | 0.667377 | + | 1.15593i | 0.298460 | + | 0.516948i | 0.975784 | − | 0.218737i | \(-0.0701937\pi\) |
−0.677324 | + | 0.735685i | \(0.736860\pi\) | |||||||
\(6\) | 2.56469 | − | 1.89549i | 1.04703 | − | 0.773830i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 1.12285 | 0.396987 | ||||||||
\(9\) | 0.880416 | − | 2.86790i | 0.293472 | − | 0.955968i | ||||
\(10\) | −1.22880 | − | 2.12835i | −0.388581 | − | 0.673042i | ||||
\(11\) | −0.756508 | + | 1.31031i | −0.228096 | + | 0.395073i | −0.957244 | − | 0.289283i | \(-0.906583\pi\) |
0.729148 | + | 0.684356i | \(0.239917\pi\) | |||||||
\(12\) | −1.93638 | + | 1.43112i | −0.558986 | + | 0.413130i | ||||
\(13\) | 2.58800 | − | 4.48254i | 0.717781 | − | 1.24323i | −0.244096 | − | 0.969751i | \(-0.578491\pi\) |
0.961877 | − | 0.273482i | \(-0.0881755\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −2.11958 | − | 0.923072i | −0.547274 | − | 0.238336i | ||||
\(16\) | −4.84777 | −1.21194 | ||||||||
\(17\) | −0.774463 | − | 1.34141i | −0.187835 | − | 0.325340i | 0.756693 | − | 0.653770i | \(-0.226814\pi\) |
−0.944528 | + | 0.328430i | \(0.893480\pi\) | |||||||
\(18\) | −1.62106 | + | 5.28050i | −0.382087 | + | 1.24463i | ||||
\(19\) | 1.25211 | − | 2.16872i | 0.287254 | − | 0.497538i | −0.685900 | − | 0.727696i | \(-0.740591\pi\) |
0.973153 | + | 0.230158i | \(0.0739244\pi\) | |||||||
\(20\) | 0.927765 | + | 1.60694i | 0.207455 | + | 0.359322i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.39291 | − | 2.41260i | 0.296970 | − | 0.514367i | ||||
\(23\) | 3.68039 | + | 6.37463i | 0.767415 | + | 1.32920i | 0.938960 | + | 0.344025i | \(0.111791\pi\) |
−0.171545 | + | 0.985176i | \(0.554876\pi\) | |||||||
\(24\) | −1.56403 | + | 1.15593i | −0.319257 | + | 0.235953i | ||||
\(25\) | 1.60922 | − | 2.78725i | 0.321843 | − | 0.557449i | ||||
\(26\) | −4.76513 | + | 8.25344i | −0.934518 | + | 1.61863i | ||||
\(27\) | 1.72605 | + | 4.90110i | 0.332179 | + | 0.943216i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.0309713 | − | 0.0536439i | −0.00575123 | − | 0.00996143i | 0.863135 | − | 0.504972i | \(-0.168497\pi\) |
−0.868887 | + | 0.495011i | \(0.835164\pi\) | |||||||
\(30\) | 3.90267 | + | 1.69960i | 0.712526 | + | 0.310303i | ||||
\(31\) | 3.84777 | 0.691080 | 0.345540 | − | 0.938404i | \(-0.387696\pi\) | ||||
0.345540 | + | 0.938404i | \(0.387696\pi\) | |||||||
\(32\) | 6.68021 | 1.18091 | ||||||||
\(33\) | −0.295165 | − | 2.60395i | −0.0513816 | − | 0.453289i | ||||
\(34\) | 1.42597 | + | 2.46986i | 0.244552 | + | 0.423577i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 1.22392 | − | 3.98687i | 0.203987 | − | 0.664478i | ||||
\(37\) | −0.281608 | + | 0.487760i | −0.0462961 | + | 0.0801872i | −0.888245 | − | 0.459370i | \(-0.848075\pi\) |
0.841949 | + | 0.539557i | \(0.181408\pi\) | |||||||
\(38\) | −2.30543 | + | 3.99313i | −0.373991 | + | 0.647771i | ||||
\(39\) | 1.00975 | + | 8.90804i | 0.161690 | + | 1.42643i | ||||
\(40\) | 0.749363 | + | 1.29794i | 0.118485 | + | 0.205222i | ||||
\(41\) | −4.51188 | + | 7.81481i | −0.704638 | + | 1.22047i | 0.262185 | + | 0.965018i | \(0.415557\pi\) |
−0.966822 | + | 0.255450i | \(0.917776\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.09988 | + | 8.83325i | 0.777724 | + | 1.34706i | 0.933251 | + | 0.359226i | \(0.116959\pi\) |
−0.155526 | + | 0.987832i | \(0.549707\pi\) | |||||||
\(44\) | −1.05167 | + | 1.82155i | −0.158546 | + | 0.274609i | ||||
\(45\) | 3.90267 | − | 0.896273i | 0.581775 | − | 0.133608i | ||||
\(46\) | −6.77649 | − | 11.7372i | −0.999139 | − | 1.73056i | ||||
\(47\) | 9.51851 | 1.38842 | 0.694209 | − | 0.719774i | \(-0.255755\pi\) | ||||
0.694209 | + | 0.719774i | \(0.255755\pi\) | |||||||
\(48\) | 6.75252 | − | 4.99060i | 0.974643 | − | 0.720330i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −2.96296 | + | 5.13199i | −0.419025 | + | 0.725773i | ||||
\(51\) | 2.45969 | + | 1.07119i | 0.344426 | + | 0.149996i | ||||
\(52\) | 3.59775 | − | 6.23148i | 0.498918 | − | 0.864151i | ||||
\(53\) | 0.755374 | + | 1.30835i | 0.103759 | + | 0.179715i | 0.913230 | − | 0.407444i | \(-0.133580\pi\) |
−0.809472 | + | 0.587159i | \(0.800246\pi\) | |||||||
\(54\) | −3.17808 | − | 9.02410i | −0.432482 | − | 1.22802i | ||||
\(55\) | −2.01950 | −0.272310 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.488532 | + | 4.30983i | 0.0647077 | + | 0.570851i | ||||
\(58\) | 0.0570257 | + | 0.0987714i | 0.00748784 | + | 0.0129693i | ||||
\(59\) | 8.44331 | 1.09923 | 0.549613 | − | 0.835419i | \(-0.314775\pi\) | ||||
0.549613 | + | 0.835419i | \(0.314775\pi\) | |||||||
\(60\) | −2.94658 | − | 1.28322i | −0.380401 | − | 0.165664i | ||||
\(61\) | −3.23917 | −0.414733 | −0.207367 | − | 0.978263i | \(-0.566489\pi\) | ||||
−0.207367 | + | 0.978263i | \(0.566489\pi\) | |||||||
\(62\) | −7.08467 | −0.899754 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −2.60434 | −0.325543 | ||||||||
\(65\) | 6.90868 | 0.856916 | ||||||||
\(66\) | 0.543469 | + | 4.79449i | 0.0668964 | + | 0.590161i | ||||
\(67\) | 6.93339 | 0.847049 | 0.423524 | − | 0.905885i | \(-0.360793\pi\) | ||||
0.423524 | + | 0.905885i | \(0.360793\pi\) | |||||||
\(68\) | −1.07663 | − | 1.86478i | −0.130561 | − | 0.226138i | ||||
\(69\) | −11.6889 | − | 5.09048i | −1.40718 | − | 0.612822i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −12.3304 | −1.46335 | −0.731673 | − | 0.681656i | \(-0.761260\pi\) | ||||
−0.731673 | + | 0.681656i | \(0.761260\pi\) | |||||||
\(72\) | 0.988574 | − | 3.22022i | 0.116505 | − | 0.379507i | ||||
\(73\) | 1.37936 | + | 2.38912i | 0.161442 | + | 0.279625i | 0.935386 | − | 0.353629i | \(-0.115052\pi\) |
−0.773944 | + | 0.633254i | \(0.781719\pi\) | |||||||
\(74\) | 0.518508 | − | 0.898083i | 0.0602754 | − | 0.104400i | ||||
\(75\) | 0.627864 | + | 5.53902i | 0.0724995 | + | 0.639591i | ||||
\(76\) | 1.74064 | − | 3.01488i | 0.199665 | − | 0.345830i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −1.85920 | − | 16.4018i | −0.210512 | − | 1.85714i | ||||
\(79\) | −5.91938 | −0.665982 | −0.332991 | − | 0.942930i | \(-0.608058\pi\) | ||||
−0.332991 | + | 0.942930i | \(0.608058\pi\) | |||||||
\(80\) | −3.23529 | − | 5.60368i | −0.361716 | − | 0.626511i | ||||
\(81\) | −7.44974 | − | 5.04989i | −0.827749 | − | 0.561099i | ||||
\(82\) | 8.30746 | − | 14.3889i | 0.917406 | − | 1.58899i | ||||
\(83\) | −2.80111 | − | 4.85167i | −0.307462 | − | 0.532540i | 0.670344 | − | 0.742050i | \(-0.266146\pi\) |
−0.977806 | + | 0.209510i | \(0.932813\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.03372 | − | 1.79045i | 0.112122 | − | 0.194202i | ||||
\(86\) | −9.39010 | − | 16.2641i | −1.01256 | − | 1.75381i | ||||
\(87\) | 0.0983648 | + | 0.0428375i | 0.0105458 | + | 0.00459267i | ||||
\(88\) | −0.849444 | + | 1.47128i | −0.0905511 | + | 0.156839i | ||||
\(89\) | −0.703287 | + | 1.21813i | −0.0745483 | + | 0.129121i | −0.900890 | − | 0.434048i | \(-0.857085\pi\) |
0.826341 | + | 0.563169i | \(0.190418\pi\) | |||||||
\(90\) | −7.18575 | + | 1.65025i | −0.757444 | + | 0.173952i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 5.11636 | + | 8.86180i | 0.533418 | + | 0.923906i | ||||
\(93\) | −5.35961 | + | 3.96113i | −0.555766 | + | 0.410750i | ||||
\(94\) | −17.5259 | −1.80765 | ||||||||
\(95\) | 3.34251 | 0.342935 | ||||||||
\(96\) | −9.30496 | + | 6.87703i | −0.949683 | + | 0.701884i | ||||
\(97\) | 6.09713 | + | 10.5605i | 0.619070 | + | 1.07226i | 0.989656 | + | 0.143462i | \(0.0458236\pi\) |
−0.370586 | + | 0.928798i | \(0.620843\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 3.09180 | + | 3.32321i | 0.310738 | + | 0.333995i | ||||
\(100\) | 2.23708 | − | 3.87474i | 0.223708 | − | 0.387474i | ||||
\(101\) | 0.559336 | − | 0.968798i | 0.0556560 | − | 0.0963990i | −0.836855 | − | 0.547425i | \(-0.815608\pi\) |
0.892511 | + | 0.451025i | \(0.148942\pi\) | |||||||
\(102\) | −4.52888 | − | 1.97231i | −0.448426 | − | 0.195288i | ||||
\(103\) | 0.965224 | + | 1.67182i | 0.0951063 | + | 0.164729i | 0.909653 | − | 0.415369i | \(-0.136348\pi\) |
−0.814547 | + | 0.580098i | \(0.803014\pi\) | |||||||
\(104\) | 2.90593 | − | 5.03322i | 0.284950 | − | 0.493548i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.39082 | − | 2.40898i | −0.135089 | − | 0.233981i | ||||
\(107\) | 2.88969 | − | 5.00509i | 0.279357 | − | 0.483860i | −0.691868 | − | 0.722024i | \(-0.743212\pi\) |
0.971225 | + | 0.238163i | \(0.0765454\pi\) | |||||||
\(108\) | 2.39951 | + | 6.81334i | 0.230892 | + | 0.655614i | ||||
\(109\) | −4.12106 | − | 7.13788i | −0.394726 | − | 0.683685i | 0.598340 | − | 0.801242i | \(-0.295827\pi\) |
−0.993066 | + | 0.117557i | \(0.962494\pi\) | |||||||
\(110\) | 3.71839 | 0.354535 | ||||||||
\(111\) | −0.109874 | − | 0.969312i | −0.0104288 | − | 0.0920030i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 7.25105 | − | 12.5592i | 0.682121 | − | 1.18147i | −0.292211 | − | 0.956354i | \(-0.594391\pi\) |
0.974332 | − | 0.225115i | \(-0.0722758\pi\) | |||||||
\(114\) | −0.899505 | − | 7.93544i | −0.0842464 | − | 0.743222i | ||||
\(115\) | −4.91242 | + | 8.50856i | −0.458085 | + | 0.793427i | ||||
\(116\) | −0.0430553 | − | 0.0745740i | −0.00399759 | − | 0.00692403i | ||||
\(117\) | −10.5770 | − | 11.3686i | −0.977843 | − | 1.05103i | ||||
\(118\) | −15.5462 | −1.43114 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −2.37997 | − | 1.03647i | −0.217261 | − | 0.0946164i | ||||
\(121\) | 4.35539 | + | 7.54376i | 0.395945 | + | 0.685796i | ||||
\(122\) | 5.96409 | 0.539963 | ||||||||
\(123\) | −1.76039 | − | 15.5302i | −0.158729 | − | 1.40031i | ||||
\(124\) | 5.34904 | 0.480358 | ||||||||
\(125\) | 10.9696 | 0.981149 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.50004 | 0.754257 | 0.377128 | − | 0.926161i | \(-0.376912\pi\) | ||||
0.377128 | + | 0.926161i | \(0.376912\pi\) | |||||||
\(128\) | −8.56521 | −0.757065 | ||||||||
\(129\) | −16.1972 | − | 7.05382i | −1.42608 | − | 0.621054i | ||||
\(130\) | −12.7205 | −1.11566 | ||||||||
\(131\) | −1.00673 | − | 1.74371i | −0.0879585 | − | 0.152349i | 0.818690 | − | 0.574236i | \(-0.194701\pi\) |
−0.906648 | + | 0.421888i | \(0.861368\pi\) | |||||||
\(132\) | −0.410328 | − | 3.61992i | −0.0357145 | − | 0.315074i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −12.7660 | −1.10282 | ||||||||
\(135\) | −4.51340 | + | 5.26608i | −0.388451 | + | 0.453232i | ||||
\(136\) | −0.869605 | − | 1.50620i | −0.0745680 | − | 0.129156i | ||||
\(137\) | −1.10870 | + | 1.92032i | −0.0947225 | + | 0.164064i | −0.909493 | − | 0.415720i | \(-0.863530\pi\) |
0.814770 | + | 0.579784i | \(0.196863\pi\) | |||||||
\(138\) | 21.5221 | + | 9.37280i | 1.83208 | + | 0.797865i | ||||
\(139\) | −0.377669 | + | 0.654143i | −0.0320335 | + | 0.0554836i | −0.881598 | − | 0.472002i | \(-0.843532\pi\) |
0.849564 | + | 0.527485i | \(0.176865\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −13.2585 | + | 9.79894i | −1.11656 | + | 0.825220i | ||||
\(142\) | 22.7032 | 1.90521 | ||||||||
\(143\) | 3.91568 | + | 6.78216i | 0.327446 | + | 0.567153i | ||||
\(144\) | −4.26805 | + | 13.9029i | −0.355671 | + | 1.15858i | ||||
\(145\) | 0.0413391 | − | 0.0716014i | 0.00343303 | − | 0.00594618i | ||||
\(146\) | −2.53973 | − | 4.39894i | −0.210189 | − | 0.364059i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.391482 | + | 0.678068i | −0.0321797 | + | 0.0557368i | ||||
\(149\) | −3.29249 | − | 5.70277i | −0.269732 | − | 0.467189i | 0.699061 | − | 0.715062i | \(-0.253602\pi\) |
−0.968792 | + | 0.247873i | \(0.920268\pi\) | |||||||
\(150\) | −1.15605 | − | 10.1987i | −0.0943909 | − | 0.832718i | ||||
\(151\) | −6.33356 | + | 10.9700i | −0.515417 | + | 0.892729i | 0.484422 | + | 0.874834i | \(0.339030\pi\) |
−0.999840 | + | 0.0178950i | \(0.994304\pi\) | |||||||
\(152\) | 1.40593 | − | 2.43514i | 0.114036 | − | 0.197516i | ||||
\(153\) | −4.52888 | + | 1.04009i | −0.366138 | + | 0.0840861i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 2.56791 | + | 4.44775i | 0.206260 | + | 0.357252i | ||||
\(156\) | 1.40372 | + | 12.3837i | 0.112388 | + | 0.991487i | ||||
\(157\) | 17.3074 | 1.38128 | 0.690642 | − | 0.723197i | \(-0.257328\pi\) | ||||
0.690642 | + | 0.723197i | \(0.257328\pi\) | |||||||
\(158\) | 10.8990 | 0.867078 | ||||||||
\(159\) | −2.39906 | − | 1.04478i | −0.190258 | − | 0.0828567i | ||||
\(160\) | 4.45822 | + | 7.72186i | 0.352453 | + | 0.610467i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 13.7168 | + | 9.29807i | 1.07769 | + | 0.730525i | ||||
\(163\) | 6.10963 | − | 10.5822i | 0.478543 | − | 0.828861i | −0.521154 | − | 0.853463i | \(-0.674498\pi\) |
0.999697 | + | 0.0246014i | \(0.00783167\pi\) | |||||||
\(164\) | −6.27227 | + | 10.8639i | −0.489782 | + | 0.848327i | ||||
\(165\) | 2.81299 | − | 2.07900i | 0.218991 | − | 0.161850i | ||||
\(166\) | 5.15752 | + | 8.93309i | 0.400301 | + | 0.693342i | ||||
\(167\) | −1.76248 | + | 3.05270i | −0.136385 | + | 0.236225i | −0.926126 | − | 0.377215i | \(-0.876882\pi\) |
0.789741 | + | 0.613440i | \(0.210215\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −6.89546 | − | 11.9433i | −0.530420 | − | 0.918714i | ||||
\(170\) | −1.90332 | + | 3.29665i | −0.145978 | + | 0.252842i | ||||
\(171\) | −5.11729 | − | 5.50030i | −0.391329 | − | 0.420618i | ||||
\(172\) | 7.08968 | + | 12.2797i | 0.540583 | + | 0.936318i | ||||
\(173\) | −10.1409 | −0.770999 | −0.385500 | − | 0.922708i | \(-0.625971\pi\) | ||||
−0.385500 | + | 0.922708i | \(0.625971\pi\) | |||||||
\(174\) | −0.181113 | − | 0.0788742i | −0.0137302 | − | 0.00597944i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 3.66738 | − | 6.35208i | 0.276439 | − | 0.478806i | ||||
\(177\) | −11.7608 | + | 8.69207i | −0.883996 | + | 0.653336i | ||||
\(178\) | 1.29492 | − | 2.24287i | 0.0970584 | − | 0.168110i | ||||
\(179\) | 0.850579 | + | 1.47325i | 0.0635752 | + | 0.110116i | 0.896061 | − | 0.443931i | \(-0.146416\pi\) |
−0.832486 | + | 0.554046i | \(0.813083\pi\) | |||||||
\(180\) | 5.42536 | − | 1.24597i | 0.404382 | − | 0.0928690i | ||||
\(181\) | 16.9941 | 1.26316 | 0.631581 | − | 0.775310i | \(-0.282406\pi\) | ||||
0.631581 | + | 0.775310i | \(0.282406\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 4.51188 | − | 3.33460i | 0.333528 | − | 0.246501i | ||||
\(184\) | 4.13252 | + | 7.15774i | 0.304654 | + | 0.527676i | ||||
\(185\) | −0.751755 | −0.0552701 | ||||||||
\(186\) | 9.86833 | − | 7.29340i | 0.723581 | − | 0.534778i | ||||
\(187\) | 2.34355 | 0.171377 | ||||||||
\(188\) | 13.2323 | 0.965066 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −6.15437 | −0.446485 | ||||||||
\(191\) | 22.6939 | 1.64208 | 0.821038 | − | 0.570873i | \(-0.193395\pi\) | ||||
0.821038 | + | 0.570873i | \(0.193395\pi\) | |||||||
\(192\) | 3.62762 | − | 2.68107i | 0.261801 | − | 0.193490i | ||||
\(193\) | 6.18698 | 0.445348 | 0.222674 | − | 0.974893i | \(-0.428521\pi\) | ||||
0.222674 | + | 0.974893i | \(0.428521\pi\) | |||||||
\(194\) | −11.2263 | − | 19.4445i | −0.806001 | − | 1.39603i | ||||
\(195\) | −9.62319 | + | 7.11222i | −0.689131 | + | 0.509317i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 9.77010 | 0.696091 | 0.348045 | − | 0.937478i | \(-0.386846\pi\) | ||||
0.348045 | + | 0.937478i | \(0.386846\pi\) | |||||||
\(198\) | −5.69275 | − | 6.11883i | −0.404566 | − | 0.434846i | ||||
\(199\) | 4.33973 | + | 7.51664i | 0.307636 | + | 0.532840i | 0.977845 | − | 0.209332i | \(-0.0671289\pi\) |
−0.670209 | + | 0.742172i | \(0.733796\pi\) | |||||||
\(200\) | 1.80691 | − | 3.12965i | 0.127768 | − | 0.221300i | ||||
\(201\) | −9.65762 | + | 7.13767i | −0.681196 | + | 0.503452i | ||||
\(202\) | −1.02987 | + | 1.78379i | −0.0724615 | + | 0.125507i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 3.41938 | + | 1.48913i | 0.239405 | + | 0.104260i | ||||
\(205\) | −12.0445 | −0.841224 | ||||||||
\(206\) | −1.77721 | − | 3.07822i | −0.123824 | − | 0.214470i | ||||
\(207\) | 21.5221 | − | 4.94269i | 1.49589 | − | 0.343541i | ||||
\(208\) | −12.5460 | + | 21.7303i | −0.869909 | + | 1.50673i | ||||
\(209\) | 1.89446 | + | 3.28130i | 0.131043 | + | 0.226973i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.84219 | + | 4.92283i | −0.195665 | + | 0.338901i | −0.947118 | − | 0.320885i | \(-0.896020\pi\) |
0.751453 | + | 0.659786i | \(0.229353\pi\) | |||||||
\(212\) | 1.05010 | + | 1.81882i | 0.0721209 | + | 0.124917i | ||||
\(213\) | 17.1751 | − | 12.6936i | 1.17682 | − | 0.869754i | ||||
\(214\) | −5.32062 | + | 9.21558i | −0.363710 | + | 0.629964i | ||||
\(215\) | −6.80708 | + | 11.7902i | −0.464239 | + | 0.804086i | ||||
\(216\) | 1.93810 | + | 5.50319i | 0.131871 | + | 0.374445i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 7.58786 | + | 13.1426i | 0.513915 | + | 0.890126i | ||||
\(219\) | −4.38083 | − | 1.90784i | −0.296029 | − | 0.128920i | ||||
\(220\) | −2.80745 | −0.189278 | ||||||||
\(221\) | −8.01723 | −0.539298 | ||||||||
\(222\) | 0.202305 | + | 1.78474i | 0.0135778 | + | 0.119784i | ||||
\(223\) | −5.86133 | − | 10.1521i | −0.392503 | − | 0.679836i | 0.600276 | − | 0.799793i | \(-0.295058\pi\) |
−0.992779 | + | 0.119957i | \(0.961724\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −6.57677 | − | 7.06901i | −0.438451 | − | 0.471267i | ||||
\(226\) | −13.3509 | + | 23.1245i | −0.888091 | + | 1.53822i | ||||
\(227\) | 5.59154 | − | 9.68482i | 0.371123 | − | 0.642804i | −0.618615 | − | 0.785694i | \(-0.712306\pi\) |
0.989739 | + | 0.142890i | \(0.0456394\pi\) | |||||||
\(228\) | 0.679141 | + | 5.99139i | 0.0449772 | + | 0.396790i | ||||
\(229\) | −4.82824 | − | 8.36275i | −0.319059 | − | 0.552626i | 0.661233 | − | 0.750181i | \(-0.270033\pi\) |
−0.980292 | + | 0.197554i | \(0.936700\pi\) | |||||||
\(230\) | 9.04494 | − | 15.6663i | 0.596406 | − | 1.03301i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.0347761 | − | 0.0602340i | −0.00228317 | − | 0.00395456i | ||||
\(233\) | −9.64492 | + | 16.7055i | −0.631860 | + | 1.09441i | 0.355311 | + | 0.934748i | \(0.384375\pi\) |
−0.987171 | + | 0.159666i | \(0.948958\pi\) | |||||||
\(234\) | 19.4748 | + | 20.9324i | 1.27311 | + | 1.36839i | ||||
\(235\) | 6.35243 | + | 11.0027i | 0.414387 | + | 0.717739i | ||||
\(236\) | 11.7376 | 0.764054 | ||||||||
\(237\) | 8.24519 | − | 6.09378i | 0.535582 | − | 0.395833i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −0.194641 | + | 0.337128i | −0.0125903 | + | 0.0218070i | −0.872252 | − | 0.489057i | \(-0.837341\pi\) |
0.859662 | + | 0.510864i | \(0.170674\pi\) | |||||||
\(240\) | 10.2753 | + | 4.47484i | 0.663265 | + | 0.288850i | ||||
\(241\) | 5.31807 | − | 9.21117i | 0.342567 | − | 0.593344i | −0.642342 | − | 0.766419i | \(-0.722037\pi\) |
0.984909 | + | 0.173075i | \(0.0553703\pi\) | |||||||
\(242\) | −8.01932 | − | 13.8899i | −0.515502 | − | 0.892875i | ||||
\(243\) | 15.5755 | − | 0.635158i | 0.999170 | − | 0.0407454i | ||||
\(244\) | −4.50299 | −0.288274 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 3.24130 | + | 28.5948i | 0.206658 | + | 1.82314i | ||||
\(247\) | −6.48091 | − | 11.2253i | −0.412370 | − | 0.714247i | ||||
\(248\) | 4.32046 | 0.274350 | ||||||||
\(249\) | 8.89631 | + | 3.87431i | 0.563781 | + | 0.245525i | ||||
\(250\) | −20.1976 | −1.27741 | ||||||||
\(251\) | 3.26628 | 0.206166 | 0.103083 | − | 0.994673i | \(-0.467129\pi\) | ||||
0.103083 | + | 0.994673i | \(0.467129\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −11.1370 | −0.700176 | ||||||||
\(254\) | −15.6506 | −0.982007 | ||||||||
\(255\) | 0.403323 | + | 3.55812i | 0.0252570 | + | 0.222818i | ||||
\(256\) | 20.9793 | 1.31121 | ||||||||
\(257\) | −2.34787 | − | 4.06663i | −0.146456 | − | 0.253669i | 0.783459 | − | 0.621443i | \(-0.213453\pi\) |
−0.929915 | + | 0.367774i | \(0.880120\pi\) | |||||||
\(258\) | 29.8229 | + | 12.9878i | 1.85669 | + | 0.808584i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 9.60421 | 0.595628 | ||||||||
\(261\) | −0.181113 | + | 0.0415939i | −0.0112106 | + | 0.00257459i | ||||
\(262\) | 1.85363 | + | 3.21059i | 0.114518 | + | 0.198351i | ||||
\(263\) | −9.77491 | + | 16.9306i | −0.602747 | + | 1.04399i | 0.389656 | + | 0.920960i | \(0.372594\pi\) |
−0.992403 | + | 0.123028i | \(0.960740\pi\) | |||||||
\(264\) | −0.331425 | − | 2.92384i | −0.0203978 | − | 0.179950i | ||||
\(265\) | −1.00824 | + | 1.74632i | −0.0619355 | + | 0.107276i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −0.274400 | − | 2.42076i | −0.0167930 | − | 0.148148i | ||||
\(268\) | 9.63858 | 0.588770 | ||||||||
\(269\) | −7.88365 | − | 13.6549i | −0.480675 | − | 0.832553i | 0.519079 | − | 0.854726i | \(-0.326275\pi\) |
−0.999754 | + | 0.0221730i | \(0.992942\pi\) | |||||||
\(270\) | 8.31025 | − | 9.69611i | 0.505746 | − | 0.590087i | ||||
\(271\) | −7.39882 | + | 12.8151i | −0.449446 | + | 0.778464i | −0.998350 | − | 0.0574218i | \(-0.981712\pi\) |
0.548904 | + | 0.835886i | \(0.315045\pi\) | |||||||
\(272\) | 3.75442 | + | 6.50285i | 0.227645 | + | 0.394293i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 2.04138 | − | 3.53578i | 0.123324 | − | 0.213604i | ||||
\(275\) | 2.43477 | + | 4.21715i | 0.146822 | + | 0.254304i | ||||
\(276\) | −16.2495 | − | 7.07662i | −0.978107 | − | 0.425962i | ||||
\(277\) | 3.72561 | − | 6.45295i | 0.223850 | − | 0.387720i | −0.732124 | − | 0.681172i | \(-0.761471\pi\) |
0.955974 | + | 0.293452i | \(0.0948040\pi\) | |||||||
\(278\) | 0.695380 | − | 1.20443i | 0.0417061 | − | 0.0722371i | ||||
\(279\) | 3.38764 | − | 11.0350i | 0.202812 | − | 0.660650i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −12.9938 | − | 22.5060i | −0.775146 | − | 1.34259i | −0.934712 | − | 0.355406i | \(-0.884343\pi\) |
0.159566 | − | 0.987187i | \(-0.448991\pi\) | |||||||
\(282\) | 24.4120 | − | 18.0422i | 1.45371 | − | 1.07440i | ||||
\(283\) | −18.7554 | −1.11489 | −0.557445 | − | 0.830214i | \(-0.688218\pi\) | ||||
−0.557445 | + | 0.830214i | \(0.688218\pi\) | |||||||
\(284\) | −17.1413 | −1.01715 | ||||||||
\(285\) | −4.65583 | + | 3.44099i | −0.275788 | + | 0.203827i | ||||
\(286\) | −7.20971 | − | 12.4876i | −0.426319 | − | 0.738406i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 5.88136 | − | 19.1582i | 0.346563 | − | 1.12891i | ||||
\(289\) | 7.30041 | − | 12.6447i | 0.429436 | − | 0.743805i | ||||
\(290\) | −0.0761152 | + | 0.131835i | −0.00446964 | + | 0.00774165i | ||||
\(291\) | −19.3645 | − | 8.43316i | −1.13516 | − | 0.494360i | ||||
\(292\) | 1.91754 | + | 3.32127i | 0.112215 | + | 0.194363i | ||||
\(293\) | 1.23089 | − | 2.13196i | 0.0719093 | − | 0.124551i | −0.827829 | − | 0.560981i | \(-0.810424\pi\) |
0.899738 | + | 0.436430i | \(0.143757\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 5.63487 | + | 9.75988i | 0.328075 | + | 0.568242i | ||||
\(296\) | −0.316203 | + | 0.547680i | −0.0183790 | + | 0.0318333i | ||||
\(297\) | −7.72773 | − | 1.44605i | −0.448408 | − | 0.0839083i | ||||
\(298\) | 6.06227 | + | 10.5002i | 0.351178 | + | 0.608258i | ||||
\(299\) | 38.0994 | 2.20334 | ||||||||
\(300\) | 0.872835 | + | 7.70016i | 0.0503932 | + | 0.444569i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 11.6616 | − | 20.1985i | 0.671050 | − | 1.16229i | ||||
\(303\) | 0.218235 | + | 1.92527i | 0.0125372 | + | 0.110604i | ||||
\(304\) | −6.06994 | + | 10.5134i | −0.348135 | + | 0.602987i | ||||
\(305\) | −2.16175 | − | 3.74425i | −0.123781 | − | 0.214395i | ||||
\(306\) | 8.33876 | − | 1.91505i | 0.476695 | − | 0.109476i | ||||
\(307\) | 4.66277 | 0.266118 | 0.133059 | − | 0.991108i | \(-0.457520\pi\) | ||||
0.133059 | + | 0.991108i | \(0.457520\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −3.06555 | − | 1.33503i | −0.174393 | − | 0.0759475i | ||||
\(310\) | −4.72814 | − | 8.18938i | −0.268541 | − | 0.465126i | ||||
\(311\) | −27.4821 | −1.55837 | −0.779183 | − | 0.626797i | \(-0.784366\pi\) | ||||
−0.779183 | + | 0.626797i | \(0.784366\pi\) | |||||||
\(312\) | 1.13380 | + | 10.0024i | 0.0641887 | + | 0.566273i | ||||
\(313\) | −5.49332 | −0.310501 | −0.155250 | − | 0.987875i | \(-0.549618\pi\) | ||||
−0.155250 | + | 0.987875i | \(0.549618\pi\) | |||||||
\(314\) | −31.8671 | −1.79837 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −8.22893 | −0.462914 | ||||||||
\(317\) | 9.87758 | 0.554780 | 0.277390 | − | 0.960757i | \(-0.410531\pi\) | ||||
0.277390 | + | 0.960757i | \(0.410531\pi\) | |||||||
\(318\) | 4.41725 | + | 1.92370i | 0.247707 | + | 0.107876i | ||||
\(319\) | 0.0937203 | 0.00524733 | ||||||||
\(320\) | −1.73808 | − | 3.01044i | −0.0971614 | − | 0.168288i | ||||
\(321\) | 1.12746 | + | 9.94649i | 0.0629288 | + | 0.555159i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −3.87885 | −0.215825 | ||||||||
\(324\) | −10.3564 | − | 7.02020i | −0.575354 | − | 0.390011i | ||||
\(325\) | −8.32930 | − | 14.4268i | −0.462026 | − | 0.800253i | ||||
\(326\) | −11.2493 | + | 19.4844i | −0.623041 | + | 1.07914i | ||||
\(327\) | 13.0885 | + | 5.69998i | 0.723793 | + | 0.315209i | ||||
\(328\) | −5.06616 | + | 8.77485i | −0.279732 | + | 0.484510i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −5.17940 | + | 3.82794i | −0.285116 | + | 0.210721i | ||||
\(331\) | −20.6942 | −1.13746 | −0.568729 | − | 0.822525i | \(-0.692565\pi\) | ||||
−0.568729 | + | 0.822525i | \(0.692565\pi\) | |||||||
\(332\) | −3.89401 | − | 6.74463i | −0.213712 | − | 0.370160i | ||||
\(333\) | 1.15092 | + | 1.23706i | 0.0630698 | + | 0.0677903i | ||||
\(334\) | 3.24514 | − | 5.62076i | 0.177566 | − | 0.307554i | ||||
\(335\) | 4.62718 | + | 8.01452i | 0.252810 | + | 0.437880i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.748747 | − | 1.29687i | 0.0407869 | − | 0.0706449i | −0.844911 | − | 0.534906i | \(-0.820347\pi\) |
0.885698 | + | 0.464261i | \(0.153680\pi\) | |||||||
\(338\) | 12.6962 | + | 21.9905i | 0.690582 | + | 1.19612i | ||||
\(339\) | 2.82912 | + | 24.9585i | 0.153657 | + | 1.35556i | ||||
\(340\) | 1.43704 | − | 2.48903i | 0.0779344 | − | 0.134986i | ||||
\(341\) | −2.91087 | + | 5.04177i | −0.157632 | + | 0.273027i | ||||
\(342\) | 9.42217 | + | 10.1274i | 0.509493 | + | 0.547626i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 5.72639 | + | 9.91840i | 0.308746 | + | 0.534764i | ||||
\(345\) | −1.91666 | − | 16.9088i | −0.103190 | − | 0.910341i | ||||
\(346\) | 18.6719 | 1.00381 | ||||||||
\(347\) | −29.5388 | −1.58572 | −0.792862 | − | 0.609401i | \(-0.791410\pi\) | ||||
−0.792862 | + | 0.609401i | \(0.791410\pi\) | |||||||
\(348\) | 0.136744 | + | 0.0595513i | 0.00733022 | + | 0.00319229i | ||||
\(349\) | −18.0006 | − | 31.1780i | −0.963551 | − | 1.66892i | −0.713458 | − | 0.700698i | \(-0.752872\pi\) |
−0.250094 | − | 0.968222i | \(-0.580461\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 26.4364 | + | 4.94691i | 1.41107 | + | 0.264046i | ||||
\(352\) | −5.05363 | + | 8.75315i | −0.269360 | + | 0.466545i | ||||
\(353\) | −14.7465 | + | 25.5417i | −0.784877 | + | 1.35945i | 0.144196 | + | 0.989549i | \(0.453940\pi\) |
−0.929073 | + | 0.369897i | \(0.879393\pi\) | |||||||
\(354\) | 21.6545 | − | 16.0042i | 1.15092 | − | 0.850613i | ||||
\(355\) | −8.22900 | − | 14.2530i | −0.436750 | − | 0.756473i | ||||
\(356\) | −0.977687 | + | 1.69340i | −0.0518173 | + | 0.0897502i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −1.56612 | − | 2.71260i | −0.0827720 | − | 0.143365i | ||||
\(359\) | 2.70535 | − | 4.68580i | 0.142783 | − | 0.247307i | −0.785761 | − | 0.618531i | \(-0.787728\pi\) |
0.928544 | + | 0.371224i | \(0.121062\pi\) | |||||||
\(360\) | 4.38210 | − | 1.00638i | 0.230957 | − | 0.0530408i | ||||
\(361\) | 6.36444 | + | 11.0235i | 0.334971 | + | 0.580186i | ||||
\(362\) | −31.2902 | −1.64458 | ||||||||
\(363\) | −13.8327 | − | 6.02409i | −0.726028 | − | 0.316183i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −1.84110 | + | 3.18888i | −0.0963676 | + | 0.166914i | ||||
\(366\) | −8.30746 | + | 6.13980i | −0.434238 | + | 0.320933i | ||||
\(367\) | −11.5422 | + | 19.9916i | −0.602496 | + | 1.04355i | 0.389946 | + | 0.920838i | \(0.372494\pi\) |
−0.992442 | + | 0.122715i | \(0.960840\pi\) | |||||||
\(368\) | −17.8417 | − | 30.9027i | −0.930063 | − | 1.61092i | ||||
\(369\) | 18.4398 | + | 19.8199i | 0.959937 | + | 1.03178i | ||||
\(370\) | 1.38416 | 0.0719591 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −7.45075 | + | 5.50664i | −0.386304 | + | 0.285506i | ||||
\(373\) | −10.7515 | − | 18.6222i | −0.556692 | − | 0.964219i | −0.997770 | − | 0.0667498i | \(-0.978737\pi\) |
0.441078 | − | 0.897469i | \(-0.354596\pi\) | |||||||
\(374\) | −4.31504 | −0.223125 | ||||||||
\(375\) | −15.2797 | + | 11.2928i | −0.789039 | + | 0.583156i | ||||
\(376\) | 10.6878 | 0.551184 | ||||||||
\(377\) | −0.320615 | −0.0165125 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 5.72168 | 0.293903 | 0.146952 | − | 0.989144i | \(-0.453054\pi\) | ||||
0.146952 | + | 0.989144i | \(0.453054\pi\) | |||||||
\(380\) | 4.64665 | 0.238368 | ||||||||
\(381\) | −11.8398 | + | 8.75047i | −0.606572 | + | 0.448300i | ||||
\(382\) | −41.7850 | −2.13791 | ||||||||
\(383\) | −17.4604 | − | 30.2424i | −0.892187 | − | 1.54531i | −0.837248 | − | 0.546823i | \(-0.815837\pi\) |
−0.0549390 | − | 0.998490i | \(-0.517496\pi\) | |||||||
\(384\) | 11.9306 | − | 8.81756i | 0.608831 | − | 0.449969i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −11.3917 | −0.579823 | ||||||||
\(387\) | 29.8229 | − | 6.84903i | 1.51598 | − | 0.348156i | ||||
\(388\) | 8.47603 | + | 14.6809i | 0.430305 | + | 0.745311i | ||||
\(389\) | 14.4411 | − | 25.0127i | 0.732192 | − | 1.26819i | −0.223752 | − | 0.974646i | \(-0.571831\pi\) |
0.955944 | − | 0.293548i | \(-0.0948361\pi\) | |||||||
\(390\) | 17.7186 | − | 13.0953i | 0.897216 | − | 0.663107i | ||||
\(391\) | 5.70066 | − | 9.87383i | 0.288295 | − | 0.499341i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 3.19737 | + | 1.39244i | 0.161286 | + | 0.0702395i | ||||
\(394\) | −17.9891 | −0.906278 | ||||||||
\(395\) | −3.95046 | − | 6.84239i | −0.198769 | − | 0.344278i | ||||
\(396\) | 4.29812 | + | 4.61982i | 0.215989 | + | 0.232155i | ||||
\(397\) | −5.59226 | + | 9.68607i | −0.280667 | + | 0.486130i | −0.971549 | − | 0.236838i | \(-0.923889\pi\) |
0.690882 | + | 0.722968i | \(0.257222\pi\) | |||||||
\(398\) | −7.99049 | − | 13.8399i | −0.400527 | − | 0.693734i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −7.80111 | + | 13.5119i | −0.390056 | + | 0.675596i | ||||
\(401\) | 0.541061 | + | 0.937146i | 0.0270193 | + | 0.0467988i | 0.879219 | − | 0.476418i | \(-0.158065\pi\) |
−0.852200 | + | 0.523217i | \(0.824732\pi\) | |||||||
\(402\) | 17.7820 | − | 13.1422i | 0.886885 | − | 0.655471i | ||||
\(403\) | 9.95802 | − | 17.2478i | 0.496044 | − | 0.859174i | ||||
\(404\) | 0.777570 | − | 1.34679i | 0.0386856 | − | 0.0670054i | ||||
\(405\) | 0.865544 | − | 11.9816i | 0.0430092 | − | 0.595368i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −0.426078 | − | 0.737988i | −0.0211199 | − | 0.0365807i | ||||
\(408\) | 2.76186 | + | 1.20278i | 0.136732 | + | 0.0595465i | ||||
\(409\) | 21.7349 | 1.07472 | 0.537360 | − | 0.843353i | \(-0.319422\pi\) | ||||
0.537360 | + | 0.843353i | \(0.319422\pi\) | |||||||
\(410\) | 22.1768 | 1.09524 | ||||||||
\(411\) | −0.432578 | − | 3.81621i | −0.0213375 | − | 0.188240i | ||||
\(412\) | 1.34182 | + | 2.32410i | 0.0661069 | + | 0.114500i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −39.6273 | + | 9.10068i | −1.94758 | + | 0.447274i | ||||
\(415\) | 3.73879 | − | 6.47578i | 0.183530 | − | 0.317884i | ||||
\(416\) | 17.2884 | − | 29.9443i | 0.847632 | − | 1.46814i | ||||
\(417\) | −0.147354 | − | 1.29996i | −0.00721597 | − | 0.0636593i | ||||
\(418\) | −3.48816 | − | 6.04167i | −0.170611 | − | 0.295508i | ||||
\(419\) | −12.5906 | + | 21.8075i | −0.615090 | + | 1.06537i | 0.375279 | + | 0.926912i | \(0.377547\pi\) |
−0.990369 | + | 0.138455i | \(0.955787\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −14.8304 | − | 25.6869i | −0.722788 | − | 1.25191i | −0.959878 | − | 0.280418i | \(-0.909527\pi\) |
0.237090 | − | 0.971488i | \(-0.423806\pi\) | |||||||
\(422\) | 5.23316 | − | 9.06411i | 0.254746 | − | 0.441234i | ||||
\(423\) | 8.38024 | − | 27.2982i | 0.407461 | − | 1.32728i | ||||
\(424\) | 0.848171 | + | 1.46907i | 0.0411908 | + | 0.0713446i | ||||
\(425\) | −4.98512 | −0.241814 | ||||||||
\(426\) | −31.6236 | + | 23.3721i | −1.53217 | + | 1.13238i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 4.01715 | − | 6.95791i | 0.194176 | − | 0.336323i | ||||
\(429\) | −12.4362 | − | 5.41591i | −0.600424 | − | 0.261483i | ||||
\(430\) | 12.5335 | − | 21.7086i | 0.604418 | − | 1.04688i | ||||
\(431\) | 2.44517 | + | 4.23516i | 0.117780 | + | 0.204000i | 0.918887 | − | 0.394520i | \(-0.129089\pi\) |
−0.801108 | + | 0.598520i | \(0.795756\pi\) | |||||||
\(432\) | −8.36752 | − | 23.7594i | −0.402582 | − | 1.14312i | ||||
\(433\) | −9.71430 | −0.466839 | −0.233420 | − | 0.972376i | \(-0.574992\pi\) | ||||
−0.233420 | + | 0.972376i | \(0.574992\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0.0161292 | + | 0.142292i | 0.000773334 | + | 0.00682236i | ||||
\(436\) | −5.72896 | − | 9.92285i | −0.274367 | − | 0.475218i | ||||
\(437\) | 18.4330 | 0.881771 | ||||||||
\(438\) | 8.06616 | + | 3.51279i | 0.385416 | + | 0.167847i | ||||
\(439\) | 14.8235 | 0.707488 | 0.353744 | − | 0.935342i | \(-0.384908\pi\) | ||||
0.353744 | + | 0.935342i | \(0.384908\pi\) | |||||||
\(440\) | −2.26760 | −0.108103 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 14.7617 | 0.702141 | ||||||||
\(443\) | −21.9020 | −1.04059 | −0.520297 | − | 0.853986i | \(-0.674179\pi\) | ||||
−0.520297 | + | 0.853986i | \(0.674179\pi\) | |||||||
\(444\) | −0.152744 | − | 1.34751i | −0.00724889 | − | 0.0639498i | ||||
\(445\) | −1.87743 | −0.0889987 | ||||||||
\(446\) | 10.7921 | + | 18.6925i | 0.511021 | + | 0.885115i | ||||
\(447\) | 10.4569 | + | 4.55396i | 0.494596 | + | 0.215395i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 21.4952 | 1.01442 | 0.507212 | − | 0.861822i | \(-0.330676\pi\) | ||||
0.507212 | + | 0.861822i | \(0.330676\pi\) | |||||||
\(450\) | 12.1094 | + | 13.0158i | 0.570843 | + | 0.613568i | ||||
\(451\) | −6.82655 | − | 11.8239i | −0.321450 | − | 0.556767i | ||||
\(452\) | 10.0802 | − | 17.4594i | 0.474131 | − | 0.821220i | ||||
\(453\) | −2.47115 | − | 21.8005i | −0.116105 | − | 1.02428i | ||||
\(454\) | −10.2954 | + | 17.8321i | −0.483185 | + | 0.836902i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0.548548 | + | 4.83929i | 0.0256881 | + | 0.226621i | ||||
\(457\) | 40.6255 | 1.90038 | 0.950190 | − | 0.311670i | \(-0.100888\pi\) | ||||
0.950190 | + | 0.311670i | \(0.100888\pi\) | |||||||
\(458\) | 8.88995 | + | 15.3978i | 0.415400 | + | 0.719494i | ||||
\(459\) | 5.23761 | − | 6.11107i | 0.244471 | − | 0.285240i | ||||
\(460\) | −6.82908 | + | 11.8283i | −0.318408 | + | 0.551498i | ||||
\(461\) | −1.41541 | − | 2.45155i | −0.0659220 | − | 0.114180i | 0.831181 | − | 0.556003i | \(-0.187666\pi\) |
−0.897103 | + | 0.441822i | \(0.854332\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −13.9324 | + | 24.1317i | −0.647494 | + | 1.12149i | 0.336225 | + | 0.941782i | \(0.390850\pi\) |
−0.983719 | + | 0.179711i | \(0.942484\pi\) | |||||||
\(464\) | 0.150142 | + | 0.260053i | 0.00697016 | + | 0.0120727i | ||||
\(465\) | −8.15567 | − | 3.55177i | −0.378210 | − | 0.164709i | ||||
\(466\) | 17.7586 | − | 30.7588i | 0.822653 | − | 1.42488i | ||||
\(467\) | 13.3219 | − | 23.0742i | 0.616464 | − | 1.06775i | −0.373661 | − | 0.927565i | \(-0.621898\pi\) |
0.990126 | − | 0.140182i | \(-0.0447689\pi\) | |||||||
\(468\) | −14.7038 | − | 15.8043i | −0.679682 | − | 0.730554i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −11.6964 | − | 20.2587i | −0.539513 | − | 0.934463i | ||||
\(471\) | −24.1078 | + | 17.8173i | −1.11083 | + | 0.820980i | ||||
\(472\) | 9.48056 | 0.436378 | ||||||||
\(473\) | −15.4324 | −0.709582 | ||||||||
\(474\) | −15.1814 | + | 11.2201i | −0.697304 | + | 0.515357i | ||||
\(475\) | −4.02983 | − | 6.97987i | −0.184901 | − | 0.320258i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 4.41725 | − | 1.01445i | 0.202252 | − | 0.0464485i | ||||
\(478\) | 0.358381 | − | 0.620734i | 0.0163920 | − | 0.0283917i | ||||
\(479\) | −15.7895 | + | 27.3483i | −0.721443 | + | 1.24958i | 0.238979 | + | 0.971025i | \(0.423187\pi\) |
−0.960422 | + | 0.278551i | \(0.910146\pi\) | |||||||
\(480\) | −14.1593 | − | 6.16632i | −0.646280 | − | 0.281453i | ||||
\(481\) | 1.45760 | + | 2.52464i | 0.0664609 | + | 0.115114i | ||||
\(482\) | −9.79185 | + | 16.9600i | −0.446007 | + | 0.772506i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 6.05472 | + | 10.4871i | 0.275215 | + | 0.476686i | ||||
\(485\) | −8.13817 | + | 14.0957i | −0.369535 | + | 0.640054i | ||||
\(486\) | −28.6783 | + | 1.16948i | −1.30087 | + | 0.0530486i | ||||
\(487\) | −0.153087 | − | 0.265154i | −0.00693703 | − | 0.0120153i | 0.862536 | − | 0.505996i | \(-0.168875\pi\) |
−0.869473 | + | 0.493980i | \(0.835541\pi\) | |||||||
\(488\) | −3.63710 | −0.164644 | ||||||||
\(489\) | 2.38378 | + | 21.0297i | 0.107798 | + | 0.950996i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −9.06981 | + | 15.7094i | −0.409315 | + | 0.708954i | −0.994813 | − | 0.101720i | \(-0.967566\pi\) |
0.585498 | + | 0.810674i | \(0.300899\pi\) | |||||||
\(492\) | −2.44723 | − | 21.5895i | −0.110330 | − | 0.973331i | ||||
\(493\) | −0.0479723 | + | 0.0830905i | −0.00216057 | + | 0.00374221i | ||||
\(494\) | 11.9329 | + | 20.6684i | 0.536887 | + | 0.929916i | ||||
\(495\) | −1.77800 | + | 5.79174i | −0.0799153 | + | 0.260319i | ||||
\(496\) | −18.6531 | −0.837549 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −16.3803 | − | 7.13355i | −0.734017 | − | 0.319662i | ||||
\(499\) | 10.6546 | + | 18.4543i | 0.476964 | + | 0.826126i | 0.999652 | − | 0.0263983i | \(-0.00840381\pi\) |
−0.522687 | + | 0.852524i | \(0.675070\pi\) | |||||||
\(500\) | 15.2496 | 0.681981 | ||||||||
\(501\) | −0.687661 | − | 6.06655i | −0.0307224 | − | 0.271033i | ||||
\(502\) | −6.01401 | −0.268418 | ||||||||
\(503\) | 17.0738 | 0.761285 | 0.380642 | − | 0.924722i | \(-0.375703\pi\) | ||||
0.380642 | + | 0.924722i | \(0.375703\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.49315 | 0.0664443 | ||||||||
\(506\) | 20.5059 | 0.911597 | ||||||||
\(507\) | 21.8999 | + | 9.53735i | 0.972610 | + | 0.423568i | ||||
\(508\) | 11.8165 | 0.524271 | ||||||||
\(509\) | 18.3868 | + | 31.8468i | 0.814979 | + | 1.41159i | 0.909343 | + | 0.416048i | \(0.136585\pi\) |
−0.0943635 | + | 0.995538i | \(0.530082\pi\) | |||||||
\(510\) | −0.742614 | − | 6.55135i | −0.0328835 | − | 0.290099i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −21.4975 | −0.950065 | ||||||||
\(513\) | 12.7903 | + | 2.39338i | 0.564705 | + | 0.105670i | ||||
\(514\) | 4.32299 | + | 7.48764i | 0.190679 | + | 0.330265i | ||||
\(515\) | −1.28834 | + | 2.23146i | −0.0567709 | + | 0.0983300i | ||||
\(516\) | −22.5168 | − | 9.80599i | −0.991247 | − | 0.431685i | ||||
\(517\) | −7.20083 | + | 12.4722i | −0.316692 | + | 0.548527i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 14.1254 | − | 10.4397i | 0.620037 | − | 0.458251i | ||||
\(520\) | 7.75740 | 0.340184 | ||||||||
\(521\) | 9.57535 | + | 16.5850i | 0.419504 | + | 0.726602i | 0.995890 | − | 0.0905758i | \(-0.0288707\pi\) |
−0.576386 | + | 0.817178i | \(0.695537\pi\) | |||||||
\(522\) | 0.333473 | − | 0.0765843i | 0.0145957 | − | 0.00335200i | ||||
\(523\) | 20.9715 | − | 36.3236i | 0.917018 | − | 1.58832i | 0.113097 | − | 0.993584i | \(-0.463923\pi\) |
0.803920 | − | 0.594737i | \(-0.202744\pi\) | |||||||
\(524\) | −1.39952 | − | 2.42405i | −0.0611385 | − | 0.105895i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 17.9980 | − | 31.1734i | 0.784749 | − | 1.35922i | ||||
\(527\) | −2.97996 | − | 5.16144i | −0.129809 | − | 0.224836i | ||||
\(528\) | 1.43089 | + | 12.6233i | 0.0622715 | + | 0.549360i | ||||
\(529\) | −15.5906 | + | 27.0037i | −0.677851 | + | 1.17407i | ||||
\(530\) | 1.85641 | − | 3.21539i | 0.0806372 | − | 0.139668i | ||||
\(531\) | 7.43362 | − | 24.2146i | 0.322592 | − | 1.05082i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 23.3535 | + | 40.4494i | 1.01155 | + | 1.75206i | ||||
\(534\) | 0.505236 | + | 4.45719i | 0.0218637 | + | 0.192882i | ||||
\(535\) | 7.71405 | 0.333507 | ||||||||
\(536\) | 7.78515 | 0.336267 | ||||||||
\(537\) | −2.70143 | − | 1.17646i | −0.116575 | − | 0.0507682i | ||||
\(538\) | 14.5157 | + | 25.1419i | 0.625816 | + | 1.08395i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −6.27438 | + | 7.32073i | −0.270006 | + | 0.315034i | ||||
\(541\) | −1.44272 | + | 2.49886i | −0.0620273 | + | 0.107434i | −0.895371 | − | 0.445320i | \(-0.853090\pi\) |
0.833344 | + | 0.552754i | \(0.186423\pi\) | |||||||
\(542\) | 13.6230 | − | 23.5957i | 0.585158 | − | 1.01352i | ||||
\(543\) | −23.6713 | + | 17.4948i | −1.01583 | + | 0.750773i | ||||
\(544\) | −5.17358 | − | 8.96090i | −0.221815 | − | 0.384196i | ||||
\(545\) | 5.50059 | − | 9.52731i | 0.235620 | − | 0.408105i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 1.38738 | + | 2.40301i | 0.0593201 | + | 0.102745i | 0.894160 | − | 0.447747i | \(-0.147773\pi\) |
−0.834840 | + | 0.550492i | \(0.814440\pi\) | |||||||
\(548\) | −1.54128 | + | 2.66957i | −0.0658401 | + | 0.114038i | ||||
\(549\) | −2.85181 | + | 9.28962i | −0.121712 | + | 0.396471i | ||||
\(550\) | −4.48300 | − | 7.76478i | −0.191156 | − | 0.331091i | ||||
\(551\) | −0.155118 | −0.00660825 | ||||||||
\(552\) | −13.1249 | − | 5.71584i | −0.558632 | − | 0.243282i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −6.85975 | + | 11.8814i | −0.291443 | + | 0.504794i | ||||
\(555\) | 1.04713 | − | 0.773903i | 0.0444482 | − | 0.0328504i | ||||
\(556\) | −0.525024 | + | 0.909368i | −0.0222660 | + | 0.0385658i | ||||
\(557\) | 15.5344 | + | 26.9064i | 0.658214 | + | 1.14006i | 0.981078 | + | 0.193614i | \(0.0620211\pi\) |
−0.322864 | + | 0.946445i | \(0.604646\pi\) | |||||||
\(558\) | −6.23745 | + | 20.3181i | −0.264052 | + | 0.860136i | ||||
\(559\) | 52.7939 | 2.23294 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −3.26436 | + | 2.41260i | −0.137822 | + | 0.101860i | ||||
\(562\) | 23.9248 | + | 41.4389i | 1.00920 | + | 1.74799i | ||||
\(563\) | −0.288041 | −0.0121395 | −0.00606973 | − | 0.999982i | \(-0.501932\pi\) | ||||
−0.00606973 | + | 0.999982i | \(0.501932\pi\) | |||||||
\(564\) | −18.4315 | + | 13.6222i | −0.776105 | + | 0.573597i | ||||
\(565\) | 19.3567 | 0.814344 | ||||||||
\(566\) | 34.5331 | 1.45154 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −13.8451 | −0.580929 | ||||||||
\(569\) | −16.0801 | −0.674112 | −0.337056 | − | 0.941485i | \(-0.609431\pi\) | ||||
−0.337056 | + | 0.941485i | \(0.609431\pi\) | |||||||
\(570\) | 8.57251 | − | 6.33569i | 0.359063 | − | 0.265373i | ||||
\(571\) | −15.2858 | −0.639690 | −0.319845 | − | 0.947470i | \(-0.603631\pi\) | ||||
−0.319845 | + | 0.947470i | \(0.603631\pi\) | |||||||
\(572\) | 5.44345 | + | 9.42834i | 0.227602 | + | 0.394218i | ||||
\(573\) | −31.6107 | + | 23.3626i | −1.32056 | + | 0.975985i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 23.6902 | 0.987950 | ||||||||
\(576\) | −2.29290 | + | 7.46900i | −0.0955376 | + | 0.311208i | ||||
\(577\) | −12.0812 | − | 20.9253i | −0.502949 | − | 0.871133i | −0.999994 | − | 0.00340833i | \(-0.998915\pi\) |
0.497045 | − | 0.867725i | \(-0.334418\pi\) | |||||||
\(578\) | −13.4418 | + | 23.2819i | −0.559106 | + | 0.968400i | ||||
\(579\) | −8.61793 | + | 6.36926i | −0.358149 | + | 0.264697i | ||||
\(580\) | 0.0574683 | − | 0.0995380i | 0.00238624 | − | 0.00413309i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 35.6546 | + | 15.5275i | 1.47793 | + | 0.643634i | ||||
\(583\) | −2.28579 | −0.0946676 | ||||||||
\(584\) | 1.54881 | + | 2.68262i | 0.0640902 | + | 0.111007i | ||||
\(585\) | 6.08251 | − | 19.8134i | 0.251481 | − | 0.819184i | ||||
\(586\) | −2.26636 | + | 3.92546i | −0.0936226 | + | 0.162159i | ||||
\(587\) | −18.0145 | − | 31.2020i | −0.743537 | − | 1.28784i | −0.950875 | − | 0.309574i | \(-0.899814\pi\) |
0.207339 | − | 0.978269i | \(-0.433520\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 4.81783 | − | 8.34472i | 0.198515 | − | 0.343838i | ||||
\(590\) | −10.3752 | − | 17.9703i | −0.427138 | − | 0.739825i | ||||
\(591\) | −13.6089 | + | 10.0579i | −0.559795 | + | 0.413729i | ||||
\(592\) | 1.36517 | − | 2.36455i | 0.0561082 | − | 0.0971823i | ||||
\(593\) | −12.4668 | + | 21.5932i | −0.511951 | + | 0.886726i | 0.487953 | + | 0.872870i | \(0.337744\pi\) |
−0.999904 | + | 0.0138558i | \(0.995589\pi\) | |||||||
\(594\) | 14.2286 | + | 2.66253i | 0.583807 | + | 0.109245i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −4.57712 | − | 7.92780i | −0.187486 | − | 0.324735i | ||||
\(597\) | −13.7830 | − | 6.00244i | −0.564099 | − | 0.245663i | ||||
\(598\) | −70.1501 | −2.86865 | ||||||||
\(599\) | 39.5283 | 1.61508 | 0.807542 | − | 0.589810i | \(-0.200797\pi\) | ||||
0.807542 | + | 0.589810i | \(0.200797\pi\) | |||||||
\(600\) | 0.704996 | + | 6.21948i | 0.0287813 | + | 0.253909i | ||||
\(601\) | −1.86447 | − | 3.22936i | −0.0760534 | − | 0.131728i | 0.825490 | − | 0.564416i | \(-0.190899\pi\) |
−0.901544 | + | 0.432688i | \(0.857565\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 6.10427 | − | 19.8843i | 0.248585 | − | 0.809751i | ||||
\(604\) | −8.80470 | + | 15.2502i | −0.358258 | + | 0.620521i | ||||
\(605\) | −5.81337 | + | 10.0691i | −0.236347 | + | 0.409365i | ||||
\(606\) | −0.401822 | − | 3.54488i | −0.0163229 | − | 0.144001i | ||||
\(607\) | 11.8264 | + | 20.4839i | 0.480018 | + | 0.831415i | 0.999737 | − | 0.0229218i | \(-0.00729686\pi\) |
−0.519719 | + | 0.854337i | \(0.673964\pi\) | |||||||
\(608\) | 8.36436 | − | 14.4875i | 0.339219 | − | 0.587545i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 3.98029 | + | 6.89407i | 0.161157 | + | 0.279133i | ||||
\(611\) | 24.6339 | − | 42.6671i | 0.996580 | − | 1.72613i | ||||
\(612\) | −6.29590 | + | 1.44590i | −0.254497 | + | 0.0584469i | ||||
\(613\) | 1.89952 | + | 3.29006i | 0.0767208 | + | 0.132884i | 0.901833 | − | 0.432084i | \(-0.142222\pi\) |
−0.825113 | + | 0.564968i | \(0.808888\pi\) | |||||||
\(614\) | −8.58528 | −0.346474 | ||||||||
\(615\) | 16.7769 | − | 12.3994i | 0.676512 | − | 0.499990i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −17.5615 | + | 30.4174i | −0.706999 | + | 1.22456i | 0.258966 | + | 0.965886i | \(0.416618\pi\) |
−0.965965 | + | 0.258672i | \(0.916715\pi\) | |||||||
\(618\) | 5.64441 | + | 2.45812i | 0.227051 | + | 0.0988801i | ||||
\(619\) | −10.5816 | + | 18.3279i | −0.425311 | + | 0.736660i | −0.996449 | − | 0.0841934i | \(-0.973169\pi\) |
0.571138 | + | 0.820854i | \(0.306502\pi\) | |||||||
\(620\) | 3.56983 | + | 6.18312i | 0.143368 | + | 0.248320i | ||||
\(621\) | −24.8901 | + | 29.0409i | −0.998805 | + | 1.16537i | ||||
\(622\) | 50.6011 | 2.02892 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −4.89504 | − | 43.1841i | −0.195959 | − | 1.72875i | ||||
\(625\) | −0.725240 | − | 1.25615i | −0.0290096 | − | 0.0502461i | ||||
\(626\) | 10.1145 | 0.404257 | ||||||||
\(627\) | −6.01680 | − | 2.62030i | −0.240288 | − | 0.104645i | ||||
\(628\) | 24.0602 | 0.960107 | ||||||||
\(629\) | 0.872381 | 0.0347841 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 4.74845 | 0.189033 | 0.0945164 | − | 0.995523i | \(-0.469870\pi\) | ||||
0.0945164 | + | 0.995523i | \(0.469870\pi\) | |||||||
\(632\) | −6.64657 | −0.264386 | ||||||||
\(633\) | −1.10893 | − | 9.78300i | −0.0440761 | − | 0.388839i | ||||
\(634\) | −18.1870 | −0.722298 | ||||||||
\(635\) | 5.67273 | + | 9.82546i | 0.225115 | + | 0.389911i | ||||
\(636\) | −3.33510 | − | 1.45242i | −0.132245 | − | 0.0575924i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −0.172562 | −0.00683178 | ||||||||
\(639\) | −10.8558 | + | 35.3623i | −0.429451 | + | 1.39891i | ||||
\(640\) | −5.71622 | − | 9.90078i | −0.225953 | − | 0.391363i | ||||
\(641\) | 4.93735 | − | 8.55174i | 0.195013 | − | 0.337773i | −0.751891 | − | 0.659287i | \(-0.770858\pi\) |
0.946905 | + | 0.321514i | \(0.104192\pi\) | |||||||
\(642\) | −2.07593 | − | 18.3139i | −0.0819304 | − | 0.722791i | ||||
\(643\) | −21.9748 | + | 38.0615i | −0.866602 | + | 1.50100i | −0.00115462 | + | 0.999999i | \(0.500368\pi\) |
−0.865448 | + | 0.501000i | \(0.832966\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −2.65590 | − | 23.4304i | −0.104576 | − | 0.922570i | ||||
\(646\) | 7.14190 | 0.280994 | ||||||||
\(647\) | −22.1936 | − | 38.4404i | −0.872521 | − | 1.51125i | −0.859381 | − | 0.511336i | \(-0.829151\pi\) |
−0.0131398 | − | 0.999914i | \(-0.504183\pi\) | |||||||
\(648\) | −8.36493 | − | 5.67027i | −0.328605 | − | 0.222749i | ||||
\(649\) | −6.38743 | + | 11.0634i | −0.250729 | + | 0.434275i | ||||
\(650\) | 15.3362 | + | 26.5631i | 0.601537 | + | 1.04189i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 8.49341 | − | 14.7110i | 0.332628 | − | 0.576128i | ||||
\(653\) | −20.9956 | − | 36.3655i | −0.821622 | − | 1.42309i | −0.904474 | − | 0.426529i | \(-0.859736\pi\) |
0.0828523 | − | 0.996562i | \(-0.473597\pi\) | |||||||
\(654\) | −24.0990 | − | 10.4950i | −0.942345 | − | 0.410388i | ||||
\(655\) | 1.34374 | − | 2.32742i | 0.0525042 | − | 0.0909399i | ||||
\(656\) | 21.8726 | − | 37.8844i | 0.853980 | − | 1.47914i | ||||
\(657\) | 8.06616 | − | 1.85245i | 0.314691 | − | 0.0722708i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −19.6365 | − | 34.0114i | −0.764928 | − | 1.32489i | −0.940284 | − | 0.340390i | \(-0.889441\pi\) |
0.175356 | − | 0.984505i | \(-0.443892\pi\) | |||||||
\(660\) | 3.91053 | − | 2.89016i | 0.152217 | − | 0.112499i | ||||
\(661\) | 0.186739 | 0.00726330 | 0.00363165 | − | 0.999993i | \(-0.498844\pi\) | ||||
0.00363165 | + | 0.999993i | \(0.498844\pi\) | |||||||
\(662\) | 38.1030 | 1.48092 | ||||||||
\(663\) | 11.1673 | − | 8.25344i | 0.433703 | − | 0.320537i | ||||
\(664\) | −3.14522 | − | 5.44769i | −0.122058 | − | 0.211411i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −2.11911 | − | 2.27772i | −0.0821139 | − | 0.0882598i | ||||
\(667\) | 0.227973 | − | 0.394862i | 0.00882717 | − | 0.0152891i | ||||
\(668\) | −2.45014 | + | 4.24376i | −0.0947987 | + | 0.164196i | ||||
\(669\) | 18.6155 | + | 8.10700i | 0.719718 | + | 0.313435i | ||||
\(670\) | −8.51976 | − | 14.7567i | −0.329147 | − | 0.570099i | ||||
\(671\) | 2.45046 | − | 4.24432i | 0.0945989 | − | 0.163850i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −5.43382 | − | 9.41166i | −0.209458 | − | 0.362793i | 0.742086 | − | 0.670305i | \(-0.233837\pi\) |
−0.951544 | + | 0.307512i | \(0.900503\pi\) | |||||||
\(674\) | −1.37862 | + | 2.38785i | −0.0531026 | + | 0.0919764i | ||||
\(675\) | 16.4381 | + | 3.07599i | 0.632705 | + | 0.118395i | ||||
\(676\) | −9.58584 | − | 16.6032i | −0.368686 | − | 0.638583i | ||||
\(677\) | −28.3901 | −1.09112 | −0.545560 | − | 0.838072i | \(-0.683683\pi\) | ||||
−0.545560 | + | 0.838072i | \(0.683683\pi\) | |||||||
\(678\) | −5.20910 | − | 45.9547i | −0.200054 | − | 1.76488i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 1.16071 | − | 2.01041i | 0.0445111 | − | 0.0770956i | ||||
\(681\) | 2.18163 | + | 19.2464i | 0.0836004 | + | 0.737524i | ||||
\(682\) | 5.35961 | − | 9.28312i | 0.205230 | − | 0.355469i | ||||
\(683\) | 5.92034 | + | 10.2543i | 0.226536 | + | 0.392371i | 0.956779 | − | 0.290816i | \(-0.0939267\pi\) |
−0.730243 | + | 0.683187i | \(0.760593\pi\) | |||||||
\(684\) | −7.11389 | − | 7.64634i | −0.272007 | − | 0.292365i | ||||
\(685\) | −2.95968 | −0.113083 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 15.3345 | + | 6.67810i | 0.585046 | + | 0.254786i | ||||
\(688\) | −24.7230 | − | 42.8216i | −0.942557 | − | 1.63256i | ||||
\(689\) | 7.81962 | 0.297904 | ||||||||
\(690\) | 3.52904 | + | 31.1332i | 0.134348 | + | 1.18522i | ||||
\(691\) | −11.9083 | −0.453014 | −0.226507 | − | 0.974010i | \(-0.572731\pi\) | ||||
−0.226507 | + | 0.974010i | \(0.572731\pi\) | |||||||
\(692\) | −14.0976 | −0.535909 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 54.3880 | 2.06454 | ||||||||
\(695\) | −1.00819 | −0.0382429 | ||||||||
\(696\) | 0.110449 | + | 0.0481001i | 0.00418655 | + | 0.00182323i | ||||
\(697\) | 13.9771 | 0.529422 | ||||||||
\(698\) | 33.1435 | + | 57.4062i | 1.25450 | + | 2.17286i | ||||
\(699\) | −3.76313 | − | 33.1984i | −0.142335 | − | 1.25568i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −31.3902 | −1.18559 | −0.592795 | − | 0.805353i | \(-0.701976\pi\) | ||||
−0.592795 | + | 0.805353i | \(0.701976\pi\) | |||||||
\(702\) | −48.6758 | − | 9.10844i | −1.83715 | − | 0.343776i | ||||
\(703\) | 0.705208 | + | 1.22146i | 0.0265974 | + | 0.0460681i | ||||
\(704\) | 1.97020 | − | 3.41249i | 0.0742549 | − | 0.128613i | ||||
\(705\) | −20.1753 | − | 8.78627i | −0.759845 | − | 0.330910i | ||||
\(706\) | 27.1518 | − | 47.0284i | 1.02187 | − | 1.76994i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −16.3495 | + | 12.0834i | −0.614451 | + | 0.454123i | ||||
\(709\) | 0.625218 | 0.0234806 | 0.0117403 | − | 0.999931i | \(-0.496263\pi\) | ||||
0.0117403 | + | 0.999931i | \(0.496263\pi\) | |||||||
\(710\) | 15.1516 | + | 26.2433i | 0.568628 | + | 0.984893i | ||||
\(711\) | −5.21152 | + | 16.9762i | −0.195447 | + | 0.636658i | ||||
\(712\) | −0.789685 | + | 1.36777i | −0.0295947 | + | 0.0512595i | ||||
\(713\) | 14.1613 | + | 24.5281i | 0.530345 | + | 0.918584i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −5.22647 | + | 9.05251i | −0.195459 | + | 0.338545i | ||||
\(716\) | 1.18245 | + | 2.04806i | 0.0441901 | + | 0.0765395i | ||||
\(717\) | −0.0759426 | − | 0.669966i | −0.00283613 | − | 0.0250203i | ||||
\(718\) | −4.98119 | + | 8.62768i | −0.185897 | + | 0.321982i | ||||
\(719\) | −12.1969 | + | 21.1257i | −0.454869 | + | 0.787857i | −0.998681 | − | 0.0513506i | \(-0.983647\pi\) |
0.543811 | + | 0.839208i | \(0.316981\pi\) | |||||||
\(720\) | −18.9192 | + | 4.34492i | −0.705078 | + | 0.161926i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −11.7185 | − | 20.2970i | −0.436116 | − | 0.755376i | ||||
\(723\) | 2.07494 | + | 18.3051i | 0.0771678 | + | 0.680775i | ||||
\(724\) | 23.6246 | 0.878003 | ||||||||
\(725\) | −0.199358 | −0.00740399 | ||||||||
\(726\) | 25.4693 | + | 11.0918i | 0.945255 | + | 0.411655i | ||||
\(727\) | 18.9253 | + | 32.7796i | 0.701900 | + | 1.21573i | 0.967799 | + | 0.251726i | \(0.0809980\pi\) |
−0.265899 | + | 0.964001i | \(0.585669\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −21.0415 | + | 16.9191i | −0.779314 | + | 0.626634i | ||||
\(730\) | 3.38991 | − | 5.87150i | 0.125466 | − | 0.217314i | ||||
\(731\) | 7.89934 | − | 13.6821i | 0.292168 | − | 0.506049i | ||||
\(732\) | 6.27227 | − | 4.63565i | 0.231830 | − | 0.171339i | ||||
\(733\) | 1.20077 | + | 2.07980i | 0.0443516 | + | 0.0768193i | 0.887349 | − | 0.461098i | \(-0.152544\pi\) |
−0.842997 | + | 0.537918i | \(0.819211\pi\) | |||||||
\(734\) | 21.2519 | − | 36.8093i | 0.784421 | − | 1.35866i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 24.5858 | + | 42.5839i | 0.906245 | + | 1.56966i | ||||
\(737\) | −5.24517 | + | 9.08490i | −0.193208 | + | 0.334646i | ||||
\(738\) | −33.9521 | − | 36.4932i | −1.24979 | − | 1.34333i | ||||
\(739\) | −15.1940 | − | 26.3167i | −0.558920 | − | 0.968077i | −0.997587 | − | 0.0694277i | \(-0.977883\pi\) |
0.438667 | − | 0.898650i | \(-0.355451\pi\) | |||||||
\(740\) | −1.04507 | −0.0384174 | ||||||||
\(741\) | 20.5833 | + | 8.96397i | 0.756148 | + | 0.329300i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −2.54785 | + | 4.41300i | −0.0934715 | + | 0.161897i | −0.908970 | − | 0.416862i | \(-0.863130\pi\) |
0.815498 | + | 0.578760i | \(0.196463\pi\) | |||||||
\(744\) | −6.01803 | + | 4.44775i | −0.220632 | + | 0.163063i | ||||
\(745\) | 4.39467 | − | 7.61179i | 0.161008 | − | 0.278874i | ||||
\(746\) | 19.7961 | + | 34.2879i | 0.724787 | + | 1.25537i | ||||
\(747\) | −16.3803 | + | 3.76183i | −0.599322 | + | 0.137638i | ||||
\(748\) | 3.25793 | 0.119122 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 28.1336 | − | 20.7927i | 1.02729 | − | 0.759242i | ||||
\(751\) | 0.487506 | + | 0.844384i | 0.0177893 | + | 0.0308120i | 0.874783 | − | 0.484515i | \(-0.161004\pi\) |
−0.856994 | + | 0.515327i | \(0.827671\pi\) | |||||||
\(752\) | −46.1435 | −1.68268 | ||||||||
\(753\) | −4.54965 | + | 3.36251i | −0.165798 | + | 0.122537i | ||||
\(754\) | 0.590329 | 0.0214985 | ||||||||
\(755\) | −16.9075 | −0.615326 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 11.6346 | 0.422865 | 0.211433 | − | 0.977393i | \(-0.432187\pi\) | ||||
0.211433 | + | 0.977393i | \(0.432187\pi\) | |||||||
\(758\) | −10.5350 | −0.382648 | ||||||||
\(759\) | 15.5129 | − | 11.4651i | 0.563081 | − | 0.416157i | ||||
\(760\) | 3.75314 | 0.136141 | ||||||||
\(761\) | −27.0875 | − | 46.9169i | −0.981920 | − | 1.70073i | −0.654897 | − | 0.755718i | \(-0.727288\pi\) |
−0.327023 | − | 0.945016i | \(-0.606045\pi\) | |||||||
\(762\) | 21.8000 | − | 16.1117i | 0.789729 | − | 0.583666i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 31.5484 | 1.14138 | ||||||||
\(765\) | −4.22474 | − | 4.54094i | −0.152746 | − | 0.164178i | ||||
\(766\) | 32.1489 | + | 55.6835i | 1.16159 | + | 2.01193i | ||||
\(767\) | 21.8513 | − | 37.8475i | 0.789004 | − | 1.36659i | ||||
\(768\) | −29.2223 | + | 21.5974i | −1.05447 | + | 0.779328i | ||||
\(769\) | 10.4326 | − | 18.0698i | 0.376208 | − | 0.651612i | −0.614299 | − | 0.789074i | \(-0.710561\pi\) |
0.990507 | + | 0.137462i | \(0.0438943\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 7.45681 | + | 3.24742i | 0.268551 | + | 0.116953i | ||||
\(772\) | 8.60094 | 0.309554 | ||||||||
\(773\) | 27.4972 | + | 47.6266i | 0.989007 | + | 1.71301i | 0.622561 | + | 0.782572i | \(0.286092\pi\) |
0.366447 | + | 0.930439i | \(0.380574\pi\) | |||||||
\(774\) | −54.9112 | + | 12.6107i | −1.97374 | + | 0.453283i | ||||
\(775\) | 6.19189 | − | 10.7247i | 0.222419 | − | 0.385242i | ||||
\(776\) | 6.84616 | + | 11.8579i | 0.245763 | + | 0.425674i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −26.5895 | + | 46.0544i | −0.953281 | + | 1.65113i | ||||
\(779\) | 11.2987 | + | 19.5700i | 0.404819 | + | 0.701168i | ||||
\(780\) | −13.3778 | + | 9.88718i | −0.479003 | + | 0.354018i | ||||
\(781\) | 9.32802 | − | 16.1566i | 0.333783 | − | 0.578129i | ||||
\(782\) | −10.4963 | + | 18.1801i | −0.375346 | + | 0.650119i | ||||
\(783\) | 0.209456 | − | 0.244386i | 0.00748534 | − | 0.00873364i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 11.5506 | + | 20.0062i | 0.412258 | + | 0.714051i | ||||
\(786\) | −5.88713 | − | 2.56383i | −0.209987 | − | 0.0914486i | ||||
\(787\) | −9.18949 | −0.327570 | −0.163785 | − | 0.986496i | \(-0.552370\pi\) | ||||
−0.163785 | + | 0.986496i | \(0.552370\pi\) | |||||||
\(788\) | 13.5821 | 0.483841 | ||||||||
\(789\) | −3.81385 | − | 33.6458i | −0.135777 | − | 1.19782i | ||||
\(790\) | 7.27374 | + | 12.5985i | 0.258788 | + | 0.448234i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 3.47163 | + | 3.73146i | 0.123359 | + | 0.132592i | ||||
\(793\) | −8.38296 | + | 14.5197i | −0.297688 | + | 0.515610i | ||||
\(794\) | 10.2967 | − | 17.8344i | 0.365416 | − | 0.632919i | ||||
\(795\) | −0.393381 | − | 3.47041i | −0.0139518 | − | 0.123083i | ||||
\(796\) | 6.03296 | + | 10.4494i | 0.213832 | + | 0.370369i | ||||
\(797\) | −3.53774 | + | 6.12754i | −0.125313 | + | 0.217049i | −0.921855 | − | 0.387534i | \(-0.873327\pi\) |
0.796542 | + | 0.604583i | \(0.206660\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −7.37174 | − | 12.7682i | −0.260793 | − | 0.451707i | ||||
\(800\) | 10.7499 | − | 18.6194i | 0.380067 | − | 0.658295i | ||||
\(801\) | 2.87429 | + | 3.08942i | 0.101558 | + | 0.109159i | ||||
\(802\) | −0.996224 | − | 1.72551i | −0.0351779 | − | 0.0609299i | ||||
\(803\) | −4.17398 | −0.147297 | ||||||||
\(804\) | −13.4257 | + | 9.92255i | −0.473488 | + | 0.349941i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −18.3351 | + | 31.7573i | −0.645827 | + | 1.11860i | ||||
\(807\) | 25.0384 | + | 10.9042i | 0.881394 | + | 0.383844i | ||||
\(808\) | 0.628050 | − | 1.08781i | 0.0220947 | − | 0.0382692i | ||||
\(809\) | −2.97060 | − | 5.14522i | −0.104441 | − | 0.180896i | 0.809069 | − | 0.587714i | \(-0.199972\pi\) |
−0.913510 | + | 0.406817i | \(0.866639\pi\) | |||||||
\(810\) | −1.59367 | + | 22.0609i | −0.0559960 | + | 0.775142i | ||||
\(811\) | −44.4139 | −1.55958 | −0.779791 | − | 0.626039i | \(-0.784675\pi\) | ||||
−0.779791 | + | 0.626039i | \(0.784675\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −2.88678 | − | 25.4672i | −0.101244 | − | 0.893173i | ||||
\(814\) | 0.784512 | + | 1.35881i | 0.0274971 | + | 0.0476264i | ||||
\(815\) | 16.3097 | 0.571304 | ||||||||
\(816\) | −11.9240 | − | 5.19287i | −0.417424 | − | 0.181787i | ||||
\(817\) | 25.5424 | 0.893616 | ||||||||
\(818\) | −40.0191 | −1.39924 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −16.7439 | −0.584721 | ||||||||
\(821\) | 6.35522 | 0.221799 | 0.110899 | − | 0.993832i | \(-0.464627\pi\) | ||||
0.110899 | + | 0.993832i | \(0.464627\pi\) | |||||||
\(822\) | 0.796480 | + | 7.02655i | 0.0277804 | + | 0.245079i | ||||
\(823\) | −9.46433 | −0.329906 | −0.164953 | − | 0.986301i | \(-0.552747\pi\) | ||||
−0.164953 | + | 0.986301i | \(0.552747\pi\) | |||||||
\(824\) | 1.08380 | + | 1.87720i | 0.0377560 | + | 0.0653953i | ||||
\(825\) | −7.73282 | − | 3.36762i | −0.269222 | − | 0.117245i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −4.86261 | −0.169090 | −0.0845448 | − | 0.996420i | \(-0.526944\pi\) | ||||
−0.0845448 | + | 0.996420i | \(0.526944\pi\) | |||||||
\(828\) | 29.9193 | − | 6.87116i | 1.03977 | − | 0.238789i | ||||
\(829\) | −20.3926 | − | 35.3211i | −0.708266 | − | 1.22675i | −0.965500 | − | 0.260403i | \(-0.916145\pi\) |
0.257234 | − | 0.966349i | \(-0.417189\pi\) | |||||||
\(830\) | −6.88402 | + | 11.9235i | −0.238948 | + | 0.413870i | ||||
\(831\) | 1.45361 | + | 12.8238i | 0.0504252 | + | 0.444852i | ||||
\(832\) | −6.74003 | + | 11.6741i | −0.233668 | + | 0.404725i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0.271315 | + | 2.39354i | 0.00939486 | + | 0.0828815i | ||||
\(835\) | −4.70494 | −0.162821 | ||||||||
\(836\) | 2.63362 | + | 4.56156i | 0.0910856 | + | 0.157765i | ||||
\(837\) | 6.64146 | + | 18.8583i | 0.229562 | + | 0.651838i | ||||
\(838\) | 23.1823 | − | 40.1529i | 0.800818 | − | 1.38706i | ||||
\(839\) | −9.60171 | − | 16.6307i | −0.331488 | − | 0.574154i | 0.651316 | − | 0.758807i | \(-0.274217\pi\) |
−0.982804 | + | 0.184653i | \(0.940884\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 14.4981 | − | 25.1114i | 0.499934 | − | 0.865911i | ||||
\(842\) | 27.3063 | + | 47.2959i | 0.941036 | + | 1.62992i | ||||
\(843\) | 41.2683 | + | 17.9722i | 1.42136 | + | 0.618996i | ||||
\(844\) | −3.95113 | + | 6.84355i | −0.136003 | + | 0.235565i | ||||
\(845\) | 9.20374 | − | 15.9413i | 0.316618 | − | 0.548399i | ||||
\(846\) | −15.4300 | + | 50.2625i | −0.530496 | + | 1.72806i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −3.66188 | − | 6.34256i | −0.125749 | − | 0.217804i | ||||
\(849\) | 26.1246 | − | 19.3079i | 0.896594 | − | 0.662647i | ||||
\(850\) | 9.17880 | 0.314830 | ||||||||
\(851\) | −4.14571 | −0.142113 | ||||||||
\(852\) | 23.8763 | − | 17.6463i | 0.817989 | − | 0.604552i | ||||
\(853\) | 6.95055 | + | 12.0387i | 0.237982 | + | 0.412198i | 0.960135 | − | 0.279536i | \(-0.0901806\pi\) |
−0.722153 | + | 0.691734i | \(0.756847\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 2.94280 | − | 9.58601i | 0.100642 | − | 0.327835i | ||||
\(856\) | 3.24469 | − | 5.61996i | 0.110901 | − | 0.192086i | ||||
\(857\) | 28.4919 | − | 49.3494i | 0.973265 | − | 1.68574i | 0.287718 | − | 0.957715i | \(-0.407103\pi\) |
0.685547 | − | 0.728029i | \(-0.259563\pi\) | |||||||
\(858\) | 22.8980 | + | 9.97200i | 0.781725 | + | 0.340439i | ||||
\(859\) | −10.0501 | − | 17.4073i | −0.342905 | − | 0.593929i | 0.642066 | − | 0.766650i | \(-0.278078\pi\) |
−0.984971 | + | 0.172721i | \(0.944744\pi\) | |||||||
\(860\) | −9.46298 | + | 16.3904i | −0.322685 | + | 0.558907i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −4.50214 | − | 7.79794i | −0.153344 | − | 0.265599i | ||||
\(863\) | −3.08893 | + | 5.35018i | −0.105148 | + | 0.182122i | −0.913799 | − | 0.406167i | \(-0.866865\pi\) |
0.808650 | + | 0.588289i | \(0.200198\pi\) | |||||||
\(864\) | 11.5304 | + | 32.7404i | 0.392273 | + | 1.11385i | ||||
\(865\) | −6.76781 | − | 11.7222i | −0.230112 | − | 0.398566i | ||||
\(866\) | 17.8864 | 0.607803 | ||||||||
\(867\) | 2.84838 | + | 25.1285i | 0.0967361 | + | 0.853407i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 4.47806 | − | 7.75623i | 0.151908 | − | 0.263112i | ||||
\(870\) | −0.0296977 | − | 0.261993i | −0.00100685 | − | 0.00888240i | ||||
\(871\) | 17.9436 | − | 31.0792i | 0.607996 | − | 1.05308i | ||||
\(872\) | −4.62732 | − | 8.01476i | −0.156701 | − | 0.271414i | ||||
\(873\) | 35.6546 | − | 8.18832i | 1.20673 | − | 0.277133i | ||||
\(874\) | −33.9396 | −1.14802 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −6.09009 | − | 2.65221i | −0.205765 | − | 0.0896099i | ||||
\(877\) | 18.6287 | + | 32.2658i | 0.629046 | + | 1.08954i | 0.987743 | + | 0.156086i | \(0.0498877\pi\) |
−0.358697 | + | 0.933454i | \(0.616779\pi\) | |||||||
\(878\) | −27.2937 | −0.921117 | ||||||||
\(879\) | 0.480253 | + | 4.23679i | 0.0161985 | + | 0.142904i | ||||
\(880\) | 9.79009 | 0.330024 | ||||||||
\(881\) | 11.7848 | 0.397041 | 0.198520 | − | 0.980097i | \(-0.436386\pi\) | ||||
0.198520 | + | 0.980097i | \(0.436386\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −29.2308 | −0.983693 | −0.491847 | − | 0.870682i | \(-0.663678\pi\) | ||||
−0.491847 | + | 0.870682i | \(0.663678\pi\) | |||||||
\(884\) | −11.1453 | −0.374857 | ||||||||
\(885\) | −17.8963 | − | 7.79378i | −0.601578 | − | 0.261985i | ||||
\(886\) | 40.3268 | 1.35480 | ||||||||
\(887\) | 14.2581 | + | 24.6957i | 0.478739 | + | 0.829201i | 0.999703 | − | 0.0243782i | \(-0.00776058\pi\) |
−0.520964 | + | 0.853579i | \(0.674427\pi\) | |||||||
\(888\) | −0.123372 | − | 1.08839i | −0.00414010 | − | 0.0365240i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 3.45680 | 0.115872 | ||||||||
\(891\) | 12.2527 | − | 5.94118i | 0.410481 | − | 0.199037i | ||||
\(892\) | −8.14822 | − | 14.1131i | −0.272823 | − | 0.472543i | ||||
\(893\) | 11.9182 | − | 20.6430i | 0.398828 | − | 0.690790i | ||||
\(894\) | −19.2537 | − | 8.38494i | −0.643942 | − | 0.280434i | ||||
\(895\) | −1.13531 | + | 1.96642i | −0.0379493 | + | 0.0657301i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −53.0691 | + | 39.2219i | −1.77193 | + | 1.30958i | ||||
\(898\) | −39.5779 | −1.32073 | ||||||||
\(899\) | −0.119171 | − | 0.206410i | −0.00397456 | − | 0.00688414i | ||||
\(900\) | −9.14281 | − | 9.82711i | −0.304760 | − | 0.327570i | ||||
\(901\) | 1.17002 | − | 2.02653i | 0.0389790 | − | 0.0675135i | ||||
\(902\) | 12.5693 | + | 21.7707i | 0.418513 | + | 0.724885i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 8.14183 | − | 14.1021i | 0.270793 | − | 0.469028i | ||||
\(905\) | 11.3415 | + | 19.6440i | 0.377003 | + | 0.652989i | ||||
\(906\) | 4.54997 | + | 40.1399i | 0.151163 | + | 1.33356i | ||||
\(907\) | 3.94577 | − | 6.83428i | 0.131017 | − | 0.226929i | −0.793052 | − | 0.609154i | \(-0.791509\pi\) |
0.924069 | + | 0.382226i | \(0.124842\pi\) | |||||||
\(908\) | 7.77317 | − | 13.4635i | 0.257962 | − | 0.446803i | ||||
\(909\) | −2.28597 | − | 2.45707i | −0.0758209 | − | 0.0814957i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −14.2206 | − | 24.6308i | −0.471150 | − | 0.816055i | 0.528306 | − | 0.849054i | \(-0.322827\pi\) |
−0.999455 | + | 0.0329991i | \(0.989494\pi\) | |||||||
\(912\) | −2.36829 | − | 20.8931i | −0.0784219 | − | 0.691839i | ||||
\(913\) | 8.47625 | 0.280523 | ||||||||
\(914\) | −74.8013 | −2.47421 | ||||||||
\(915\) | 6.86569 | + | 2.98999i | 0.226973 | + | 0.0988459i | ||||
\(916\) | −6.71206 | − | 11.6256i | −0.221773 | − | 0.384121i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −9.64370 | + | 11.2519i | −0.318290 | + | 0.371369i | ||||
\(919\) | 3.99271 | − | 6.91558i | 0.131707 | − | 0.228124i | −0.792627 | − | 0.609706i | \(-0.791287\pi\) |
0.924335 | + | 0.381582i | \(0.124621\pi\) | |||||||
\(920\) | −5.51590 | + | 9.55382i | −0.181854 | + | 0.314980i | ||||
\(921\) | −6.49483 | + | 4.80014i | −0.214012 | + | 0.158170i | ||||
\(922\) | 2.60610 | + | 4.51390i | 0.0858274 | + | 0.148657i | ||||
\(923\) | −31.9110 | + | 55.2714i | −1.05036 | + | 1.81928i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.906337 | + | 1.56982i | 0.0298002 | + | 0.0516154i | ||||
\(926\) | 25.6529 | − | 44.4322i | 0.843008 | − | 1.46013i | ||||
\(927\) | 5.64441 | − | 1.29628i | 0.185387 | − | 0.0425753i | ||||
\(928\) | −0.206895 | − | 0.358353i | −0.00679167 | − | 0.0117635i | ||||
\(929\) | −18.8006 | −0.616829 | −0.308414 | − | 0.951252i | \(-0.599798\pi\) | ||||
−0.308414 | + | 0.951252i | \(0.599798\pi\) | |||||||
\(930\) | 15.0166 | + | 6.53966i | 0.492412 | + | 0.214444i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −13.4081 | + | 23.2234i | −0.439196 | + | 0.760709i | ||||
\(933\) | 38.2801 | − | 28.2917i | 1.25324 | − | 0.926230i | ||||
\(934\) | −24.5288 | + | 42.4852i | −0.802608 | + | 1.39016i | ||||
\(935\) | 1.56403 | + | 2.70898i | 0.0511493 | + | 0.0885932i | ||||
\(936\) | −11.8764 | − | 12.7652i | −0.388191 | − | 0.417245i | ||||
\(937\) | −48.5788 | −1.58700 | −0.793500 | − | 0.608570i | \(-0.791744\pi\) | ||||
−0.793500 | + | 0.608570i | \(0.791744\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 7.65172 | − | 5.65516i | 0.249704 | − | 0.184549i | ||||
\(940\) | 8.83094 | + | 15.2956i | 0.288034 | + | 0.498889i | ||||
\(941\) | −20.4851 | −0.667795 | −0.333898 | − | 0.942609i | \(-0.608364\pi\) | ||||
−0.333898 | + | 0.942609i | \(0.608364\pi\) | |||||||
\(942\) | 44.3882 | − | 32.8060i | 1.44624 | − | 1.06888i | ||||
\(943\) | −66.4220 | −2.16300 | ||||||||
\(944\) | −40.9312 | −1.33220 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 28.4148 | 0.923843 | ||||||||
\(947\) | −14.8505 | −0.482576 | −0.241288 | − | 0.970454i | \(-0.577570\pi\) | ||||
−0.241288 | + | 0.970454i | \(0.577570\pi\) | |||||||
\(948\) | 11.4622 | − | 8.47137i | 0.372275 | − | 0.275137i | ||||
\(949\) | 14.2791 | 0.463519 | ||||||||
\(950\) | 7.41989 | + | 12.8516i | 0.240733 | + | 0.416962i | ||||
\(951\) | −13.7586 | + | 10.1686i | −0.446154 | + | 0.329739i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 46.4678 | 1.50524 | 0.752620 | − | 0.658456i | \(-0.228790\pi\) | ||||
0.752620 | + | 0.658456i | \(0.228790\pi\) | |||||||
\(954\) | −8.13322 | + | 1.86785i | −0.263323 | + | 0.0604738i | ||||
\(955\) | 15.1454 | + | 26.2326i | 0.490094 | + | 0.848868i | ||||
\(956\) | −0.270584 | + | 0.468665i | −0.00875130 | + | 0.0151577i | ||||
\(957\) | −0.130544 | + | 0.0964815i | −0.00421990 | + | 0.00311880i | ||||
\(958\) | 29.0724 | − | 50.3548i | 0.939285 | − | 1.62689i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 5.52012 | + | 2.40399i | 0.178161 | + | 0.0775886i | ||||
\(961\) | −16.1947 | −0.522409 | ||||||||
\(962\) | −2.68380 | − | 4.64847i | −0.0865291 | − | 0.149873i | ||||
\(963\) | −11.8100 | − | 12.6939i | −0.380572 | − | 0.409056i | ||||
\(964\) | 7.39301 | − | 12.8051i | 0.238113 | − | 0.412423i | ||||
\(965\) | 4.12905 | + | 7.15172i | 0.132919 | + | 0.230222i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 0.863670 | − | 1.49592i | 0.0277738 | − | 0.0481056i | −0.851804 | − | 0.523860i | \(-0.824492\pi\) |
0.879578 | + | 0.475754i | \(0.157825\pi\) | |||||||
\(968\) | 4.89045 | + | 8.47050i | 0.157185 | + | 0.272252i | ||||
\(969\) | 5.40290 | − | 3.99313i | 0.173566 | − | 0.128278i | ||||
\(970\) | 14.9843 | − | 25.9536i | 0.481118 | − | 0.833320i | ||||
\(971\) | 3.78085 | − | 6.54863i | 0.121333 | − | 0.210156i | −0.798960 | − | 0.601384i | \(-0.794616\pi\) |
0.920294 | + | 0.391228i | \(0.127950\pi\) | |||||||
\(972\) | 21.6526 | − | 0.882976i | 0.694506 | − | 0.0283215i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 0.281870 | + | 0.488213i | 0.00903169 | + | 0.0156434i | ||||
\(975\) | 26.4538 | + | 11.5205i | 0.847199 | + | 0.368953i | ||||
\(976\) | 15.7027 | 0.502633 | ||||||||
\(977\) | −56.6202 | −1.81144 | −0.905721 | − | 0.423875i | \(-0.860670\pi\) | ||||
−0.905721 | + | 0.423875i | \(0.860670\pi\) | |||||||
\(978\) | −4.38911 | − | 38.7208i | −0.140348 | − | 1.23815i | ||||
\(979\) | −1.06408 | − | 1.84305i | −0.0340083 | − | 0.0589041i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −24.0990 | + | 5.53449i | −0.769422 | + | 0.176703i | ||||
\(982\) | 16.6997 | − | 28.9247i | 0.532909 | − | 0.923025i | ||||
\(983\) | 16.1486 | − | 27.9702i | 0.515061 | − | 0.892112i | −0.484786 | − | 0.874633i | \(-0.661103\pi\) |
0.999847 | − | 0.0174790i | \(-0.00556402\pi\) | |||||||
\(984\) | −1.97665 | − | 17.4380i | −0.0630133 | − | 0.555904i | ||||
\(985\) | 6.52033 | + | 11.2936i | 0.207755 | + | 0.359842i | ||||
\(986\) | 0.0883286 | − | 0.152990i | 0.00281296 | − | 0.00487218i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −9.00955 | − | 15.6050i | −0.286632 | − | 0.496461i | ||||
\(989\) | −37.5391 | + | 65.0197i | −1.19367 | + | 2.06750i | ||||
\(990\) | 3.27373 | − | 10.6640i | 0.104046 | − | 0.338924i | ||||
\(991\) | −7.15502 | − | 12.3929i | −0.227287 | − | 0.393672i | 0.729716 | − | 0.683750i | \(-0.239652\pi\) |
−0.957003 | + | 0.290078i | \(0.906319\pi\) | |||||||
\(992\) | 25.7039 | 0.816100 | ||||||||
\(993\) | 28.8253 | − | 21.3039i | 0.914742 | − | 0.676059i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −5.79247 | + | 10.0329i | −0.183634 | + | 0.318063i | ||||
\(996\) | 12.3674 | + | 5.38595i | 0.391875 | + | 0.170660i | ||||
\(997\) | 28.1262 | − | 48.7160i | 0.890765 | − | 1.54285i | 0.0518058 | − | 0.998657i | \(-0.483502\pi\) |
0.838960 | − | 0.544194i | \(-0.183164\pi\) | |||||||
\(998\) | −19.6176 | − | 33.9787i | −0.620985 | − | 1.07558i | ||||
\(999\) | −2.87663 | − | 0.538288i | −0.0910125 | − | 0.0170307i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))