Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [63,2,Mod(25,63)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(63, 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("63.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 63 = 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 63.h (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.503057532734\) |
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: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 25.2 | ||
Root | \(0.920620 - 1.59456i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 63.25 |
Dual form | 63.2.h.b.58.2 |
$q$-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 \(\left(\mathbb{Z}/63\mathbb{Z}\right)^\times\).
\(n\) | \(10\) | \(29\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 | \(-0.929806\pi\) |
0.677324 | + | 0.735685i | \(0.263140\pi\) | |||||||
\(6\) | −2.56469 | − | 1.89549i | −1.04703 | − | 0.773830i | ||||
\(7\) | 1.90267 | + | 1.83844i | 0.719140 | + | 0.694865i | ||||
\(8\) | 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 | 0.729148 | − | 0.684356i | \(-0.239917\pi\) |
−0.957244 | + | 0.289283i | \(0.906583\pi\) | |||||||
\(12\) | 1.93638 | + | 1.43112i | 0.558986 | + | 0.413130i | ||||
\(13\) | −2.58800 | − | 4.48254i | −0.717781 | − | 1.24323i | −0.961877 | − | 0.273482i | \(-0.911824\pi\) |
0.244096 | − | 0.969751i | \(-0.421509\pi\) | |||||||
\(14\) | −3.50326 | − | 3.38501i | −0.936287 | − | 0.904683i | ||||
\(15\) | −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 | \(-0.773186\pi\) |
0.944528 | + | 0.328430i | \(0.106520\pi\) | |||||||
\(18\) | −1.62106 | − | 5.28050i | −0.382087 | − | 1.24463i | ||||
\(19\) | −1.25211 | − | 2.16872i | −0.287254 | − | 0.497538i | 0.685900 | − | 0.727696i | \(-0.259409\pi\) |
−0.973153 | + | 0.230158i | \(0.926076\pi\) | |||||||
\(20\) | −0.927765 | + | 1.60694i | −0.207455 | + | 0.359322i | ||||
\(21\) | 0.757642 | + | 4.51951i | 0.165331 | + | 0.986238i | ||||
\(22\) | 1.39291 | + | 2.41260i | 0.296970 | + | 0.514367i | ||||
\(23\) | 3.68039 | − | 6.37463i | 0.767415 | − | 1.32920i | −0.171545 | − | 0.985176i | \(-0.554876\pi\) |
0.938960 | − | 0.344025i | \(-0.111791\pi\) | |||||||
\(24\) | 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 | ||||
\(28\) | 2.64502 | + | 2.55574i | 0.499862 | + | 0.482990i | ||||
\(29\) | −0.0309713 | + | 0.0536439i | −0.00575123 | + | 0.00996143i | −0.868887 | − | 0.495011i | \(-0.835164\pi\) |
0.863135 | + | 0.504972i | \(0.168497\pi\) | |||||||
\(30\) | 3.90267 | − | 1.69960i | 0.712526 | − | 0.310303i | ||||
\(31\) | −3.84777 | −0.691080 | −0.345540 | − | 0.938404i | \(-0.612304\pi\) | ||||
−0.345540 | + | 0.938404i | \(0.612304\pi\) | |||||||
\(32\) | 6.68021 | 1.18091 | ||||||||
\(33\) | 0.295165 | − | 2.60395i | 0.0513816 | − | 0.453289i | ||||
\(34\) | −1.42597 | + | 2.46986i | −0.244552 | + | 0.423577i | ||||
\(35\) | −3.39490 | + | 0.972416i | −0.573844 | + | 0.164368i | ||||
\(36\) | 1.22392 | + | 3.98687i | 0.203987 | + | 0.664478i | ||||
\(37\) | −0.281608 | − | 0.487760i | −0.0462961 | − | 0.0801872i | 0.841949 | − | 0.539557i | \(-0.181408\pi\) |
−0.888245 | + | 0.459370i | \(0.848075\pi\) | |||||||
\(38\) | 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 | 0.966822 | + | 0.255450i | \(0.0822237\pi\) |
−0.262185 | + | 0.965018i | \(0.584443\pi\) | |||||||
\(42\) | −1.39500 | − | 8.32151i | −0.215253 | − | 1.28404i | ||||
\(43\) | 5.09988 | − | 8.83325i | 0.777724 | − | 1.34706i | −0.155526 | − | 0.987832i | \(-0.549707\pi\) |
0.933251 | − | 0.359226i | \(-0.116959\pi\) | |||||||
\(44\) | −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 | \(-0.744245\pi\) | ||||
−0.694209 | + | 0.719774i | \(0.744245\pi\) | |||||||
\(48\) | −6.75252 | − | 4.99060i | −0.974643 | − | 0.720330i | ||||
\(49\) | 0.240269 | + | 6.99588i | 0.0343242 | + | 0.999411i | ||||
\(50\) | −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 | −0.809472 | − | 0.587159i | \(-0.800246\pi\) |
0.913230 | + | 0.407444i | \(0.133580\pi\) | |||||||
\(54\) | 3.17808 | − | 9.02410i | 0.432482 | − | 1.22802i | ||||
\(55\) | 2.01950 | 0.272310 | ||||||||
\(56\) | 2.13641 | + | 2.06429i | 0.285489 | + | 0.275853i | ||||
\(57\) | 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 | \(-0.685225\pi\) | ||||
−0.549613 | + | 0.835419i | \(0.685225\pi\) | |||||||
\(60\) | −2.94658 | + | 1.28322i | −0.380401 | + | 0.165664i | ||||
\(61\) | 3.23917 | 0.414733 | 0.207367 | − | 0.978263i | \(-0.433511\pi\) | ||||
0.207367 | + | 0.978263i | \(0.433511\pi\) | |||||||
\(62\) | 7.08467 | 0.899754 | ||||||||
\(63\) | −3.59733 | + | 7.07525i | −0.453222 | + | 0.891398i | ||||
\(64\) | −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 | ||||
\(70\) | 6.25084 | − | 1.79045i | 0.747118 | − | 0.214000i | ||||
\(71\) | −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 | \(-0.884948\pi\) |
0.773944 | + | 0.633254i | \(0.218281\pi\) | |||||||
\(74\) | 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 | ||||
\(77\) | 0.969547 | − | 3.88388i | 0.110490 | − | 0.442609i | ||||
\(78\) | −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 | \(-0.733854\pi\) |
0.977806 | + | 0.209510i | \(0.0671870\pi\) | |||||||
\(84\) | 1.05325 | + | 6.28288i | 0.114919 | + | 0.685518i | ||||
\(85\) | 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 | \(-0.142915\pi\) |
−0.826341 | + | 0.563169i | \(0.809582\pi\) | |||||||
\(90\) | 7.18575 | + | 1.65025i | 0.757444 | + | 0.173952i | ||||
\(91\) | 3.31680 | − | 13.2867i | 0.347695 | − | 1.39282i | ||||
\(92\) | 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 | 0.370586 | + | 0.928798i | \(0.379157\pi\) |
−0.989656 | + | 0.143462i | \(0.954176\pi\) | |||||||
\(98\) | −0.442393 | − | 12.8811i | −0.0446885 | − | 1.30119i | ||||
\(99\) | 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 | \(-0.184392\pi\) |
−0.892511 | + | 0.451025i | \(0.851058\pi\) | |||||||
\(102\) | −4.52888 | + | 1.97231i | −0.448426 | + | 0.195288i | ||||
\(103\) | −0.965224 | + | 1.67182i | −0.0951063 | + | 0.164729i | −0.909653 | − | 0.415369i | \(-0.863652\pi\) |
0.814547 | + | 0.580098i | \(0.196986\pi\) | |||||||
\(104\) | −2.90593 | − | 5.03322i | −0.284950 | − | 0.493548i | ||||
\(105\) | −5.72987 | − | 2.14043i | −0.559178 | − | 0.208885i | ||||
\(106\) | −1.39082 | + | 2.40898i | −0.135089 | + | 0.233981i | ||||
\(107\) | 2.88969 | + | 5.00509i | 0.279357 | + | 0.483860i | 0.971225 | − | 0.238163i | \(-0.0765454\pi\) |
−0.691868 | + | 0.722024i | \(0.743212\pi\) | |||||||
\(108\) | −2.39951 | + | 6.81334i | −0.230892 | + | 0.655614i | ||||
\(109\) | −4.12106 | + | 7.13788i | −0.394726 | + | 0.683685i | −0.993066 | − | 0.117557i | \(-0.962494\pi\) |
0.598340 | + | 0.801242i | \(0.295827\pi\) | |||||||
\(110\) | −3.71839 | −0.354535 | ||||||||
\(111\) | 0.109874 | − | 0.969312i | 0.0104288 | − | 0.0920030i | ||||
\(112\) | −9.22368 | − | 8.91234i | −0.871556 | − | 0.842137i | ||||
\(113\) | 7.25105 | + | 12.5592i | 0.682121 | + | 1.18147i | 0.974332 | + | 0.225115i | \(0.0722758\pi\) |
−0.292211 | + | 0.956354i | \(0.594391\pi\) | |||||||
\(114\) | −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 | ||||||||
\(119\) | 3.93965 | − | 1.12845i | 0.361147 | − | 0.103445i | ||||
\(120\) | −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 | ||||||||
\(126\) | 6.62356 | − | 13.0272i | 0.590074 | − | 1.16056i | ||||
\(127\) | 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 | \(-0.805299\pi\) |
0.906648 | + | 0.421888i | \(0.138632\pi\) | |||||||
\(132\) | 0.410328 | − | 3.61992i | 0.0357145 | − | 0.315074i | ||||
\(133\) | 1.60471 | − | 6.42827i | 0.139146 | − | 0.557402i | ||||
\(134\) | −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 | 0.814770 | − | 0.579784i | \(-0.196863\pi\) |
−0.909493 | + | 0.415720i | \(0.863530\pi\) | |||||||
\(138\) | −21.5221 | + | 9.37280i | −1.83208 | + | 0.797865i | ||||
\(139\) | 0.377669 | + | 0.654143i | 0.0320335 | + | 0.0554836i | 0.881598 | − | 0.472002i | \(-0.156468\pi\) |
−0.849564 | + | 0.527485i | \(0.823135\pi\) | |||||||
\(140\) | −4.71948 | + | 1.35182i | −0.398869 | + | 0.114250i | ||||
\(141\) | −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 | ||||
\(147\) | −6.86731 | + | 9.99200i | −0.566407 | + | 0.824126i | ||||
\(148\) | −0.391482 | − | 0.678068i | −0.0321797 | − | 0.0557368i | ||||
\(149\) | −3.29249 | + | 5.70277i | −0.269732 | + | 0.467189i | −0.968792 | − | 0.247873i | \(-0.920268\pi\) |
0.699061 | + | 0.715062i | \(0.253602\pi\) | |||||||
\(150\) | 1.15605 | − | 10.1987i | 0.0943909 | − | 0.832718i | ||||
\(151\) | −6.33356 | − | 10.9700i | −0.515417 | − | 0.892729i | −0.999840 | − | 0.0178950i | \(-0.994304\pi\) |
0.484422 | − | 0.874834i | \(-0.339030\pi\) | |||||||
\(152\) | −1.40593 | − | 2.43514i | −0.114036 | − | 0.197516i | ||||
\(153\) | 4.52888 | + | 1.04009i | 0.366138 | + | 0.0840861i | ||||
\(154\) | −1.78517 | + | 7.15115i | −0.143853 | + | 0.576256i | ||||
\(155\) | 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 | \(-0.742672\pi\) | ||||
−0.690642 | + | 0.723197i | \(0.742672\pi\) | |||||||
\(158\) | 10.8990 | 0.867078 | ||||||||
\(159\) | 2.39906 | − | 1.04478i | 0.190258 | − | 0.0828567i | ||||
\(160\) | −4.45822 | + | 7.72186i | −0.352453 | + | 0.610467i | ||||
\(161\) | 18.7219 | − | 5.36260i | 1.47549 | − | 0.422632i | ||||
\(162\) | 13.7168 | − | 9.29807i | 1.07769 | − | 0.730525i | ||||
\(163\) | 6.10963 | + | 10.5822i | 0.478543 | + | 0.828861i | 0.999697 | − | 0.0246014i | \(-0.00783167\pi\) |
−0.521154 | + | 0.853463i | \(0.674498\pi\) | |||||||
\(164\) | 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 | \(-0.123118\pi\) |
−0.789741 | + | 0.613440i | \(0.789785\pi\) | |||||||
\(168\) | 0.850718 | + | 5.07473i | 0.0656343 | + | 0.391524i | ||||
\(169\) | −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 | \(-0.374029\pi\) | ||||
0.385500 | + | 0.922708i | \(0.374029\pi\) | |||||||
\(174\) | 0.181113 | − | 0.0788742i | 0.0137302 | − | 0.00597944i | ||||
\(175\) | −2.06239 | + | 8.26164i | −0.155902 | + | 0.624522i | ||||
\(176\) | 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 | −0.832486 | − | 0.554046i | \(-0.813083\pi\) |
0.896061 | + | 0.443931i | \(0.146416\pi\) | |||||||
\(180\) | −5.42536 | − | 1.24597i | −0.404382 | − | 0.0928690i | ||||
\(181\) | −16.9941 | −1.26316 | −0.631581 | − | 0.775310i | \(-0.717594\pi\) | ||||
−0.631581 | + | 0.775310i | \(0.717594\pi\) | |||||||
\(182\) | −6.10702 | + | 24.4639i | −0.452683 | + | 1.81339i | ||||
\(183\) | 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 | ||||||||
\(189\) | −12.2945 | + | 6.15189i | −0.894292 | + | 0.447484i | ||||
\(190\) | −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 | ||||
\(196\) | 0.334014 | + | 9.72544i | 0.0238582 | + | 0.694674i | ||||
\(197\) | 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 | \(-0.932871\pi\) |
0.670209 | + | 0.742172i | \(0.266204\pi\) | |||||||
\(200\) | 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 | ||||
\(203\) | −0.157549 | + | 0.0451275i | −0.0110578 | + | 0.00316733i | ||||
\(204\) | 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 | ||||
\(210\) | 10.5501 | + | 3.94105i | 0.728024 | + | 0.271959i | ||||
\(211\) | −2.84219 | − | 4.92283i | −0.195665 | − | 0.338901i | 0.751453 | − | 0.659786i | \(-0.229353\pi\) |
−0.947118 | + | 0.320885i | \(0.896020\pi\) | |||||||
\(212\) | 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 | ||||
\(217\) | −7.32102 | − | 7.07390i | −0.496983 | − | 0.480207i | ||||
\(218\) | 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 | \(-0.704942\pi\) |
0.992779 | + | 0.119957i | \(0.0382758\pi\) | |||||||
\(224\) | 12.7102 | + | 12.2812i | 0.849236 | + | 0.820571i | ||||
\(225\) | −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 | \(-0.287694\pi\) |
−0.989739 | + | 0.142890i | \(0.954361\pi\) | |||||||
\(228\) | 0.679141 | − | 5.99139i | 0.0449772 | − | 0.396790i | ||||
\(229\) | 4.82824 | − | 8.36275i | 0.319059 | − | 0.552626i | −0.661233 | − | 0.750181i | \(-0.729967\pi\) |
0.980292 | + | 0.197554i | \(0.0632999\pi\) | |||||||
\(230\) | −9.04494 | − | 15.6663i | −0.596406 | − | 1.03301i | ||||
\(231\) | 5.34880 | − | 4.41179i | 0.351925 | − | 0.290275i | ||||
\(232\) | −0.0347761 | + | 0.0602340i | −0.00228317 | + | 0.00395456i | ||||
\(233\) | −9.64492 | − | 16.7055i | −0.631860 | − | 1.09441i | −0.987171 | − | 0.159666i | \(-0.948958\pi\) |
0.355311 | − | 0.934748i | \(-0.384375\pi\) | |||||||
\(234\) | −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 | ||||
\(238\) | −7.25384 | + | 2.07775i | −0.470197 | + | 0.134680i | ||||
\(239\) | −0.194641 | − | 0.337128i | −0.0125903 | − | 0.0218070i | 0.859662 | − | 0.510864i | \(-0.170674\pi\) |
−0.872252 | + | 0.489057i | \(0.837341\pi\) | |||||||
\(240\) | 10.2753 | − | 4.47484i | 0.663265 | − | 0.288850i | ||||
\(241\) | −5.31807 | − | 9.21117i | −0.342567 | − | 0.593344i | 0.642342 | − | 0.766419i | \(-0.277963\pi\) |
−0.984909 | + | 0.173075i | \(0.944630\pi\) | |||||||
\(242\) | −8.01932 | + | 13.8899i | −0.515502 | + | 0.892875i | ||||
\(243\) | −15.5755 | − | 0.635158i | −0.999170 | − | 0.0407454i | ||||
\(244\) | 4.50299 | 0.288274 | ||||||||
\(245\) | −8.24709 | − | 4.39115i | −0.526888 | − | 0.280540i | ||||
\(246\) | 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 | \(-0.532871\pi\) | ||||
−0.103083 | + | 0.994673i | \(0.532871\pi\) | |||||||
\(252\) | −5.00090 | + | 9.83578i | −0.315027 | + | 0.619596i | ||||
\(253\) | −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 | \(-0.786547\pi\) |
0.929915 | + | 0.367774i | \(0.119880\pi\) | |||||||
\(258\) | −29.8229 | + | 12.9878i | −1.85669 | + | 0.808584i | ||||
\(259\) | 0.360911 | − | 1.44576i | 0.0224259 | − | 0.0898354i | ||||
\(260\) | 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 | −0.992403 | − | 0.123028i | \(-0.960740\pi\) |
0.389656 | − | 0.920960i | \(-0.372594\pi\) | |||||||
\(264\) | 0.331425 | − | 2.92384i | 0.0203978 | − | 0.179950i | ||||
\(265\) | 1.00824 | + | 1.74632i | 0.0619355 | + | 0.107276i | ||||
\(266\) | −2.95466 | + | 11.8360i | −0.181162 | + | 0.725711i | ||||
\(267\) | −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 | \(-0.673725\pi\) |
0.999754 | + | 0.0221730i | \(0.00705846\pi\) | |||||||
\(270\) | 8.31025 | + | 9.69611i | 0.505746 | + | 0.590087i | ||||
\(271\) | 7.39882 | + | 12.8151i | 0.449446 | + | 0.778464i | 0.998350 | − | 0.0574218i | \(-0.0182880\pi\) |
−0.548904 | + | 0.835886i | \(0.684955\pi\) | |||||||
\(272\) | −3.75442 | + | 6.50285i | −0.227645 | + | 0.394293i | ||||
\(273\) | 18.2981 | − | 15.0926i | 1.10745 | − | 0.913448i | ||||
\(274\) | 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 | 0.955974 | − | 0.293452i | \(-0.0948040\pi\) |
−0.732124 | + | 0.681172i | \(0.761471\pi\) | |||||||
\(278\) | −0.695380 | − | 1.20443i | −0.0417061 | − | 0.0722371i | ||||
\(279\) | −3.38764 | − | 11.0350i | −0.202812 | − | 0.660650i | ||||
\(280\) | −3.81196 | + | 1.09188i | −0.227808 | + | 0.0652521i | ||||
\(281\) | −12.9938 | + | 22.5060i | −0.775146 | + | 1.34259i | 0.159566 | + | 0.987187i | \(0.448991\pi\) |
−0.934712 | + | 0.355406i | \(0.884343\pi\) | |||||||
\(282\) | 24.4120 | + | 18.0422i | 1.45371 | + | 1.07440i | ||||
\(283\) | 18.7554 | 1.11489 | 0.557445 | − | 0.830214i | \(-0.311782\pi\) | ||||
0.557445 | + | 0.830214i | \(0.311782\pi\) | |||||||
\(284\) | −17.1413 | −1.01715 | ||||||||
\(285\) | 4.65583 | + | 3.44099i | 0.275788 | + | 0.203827i | ||||
\(286\) | 7.20971 | − | 12.4876i | 0.426319 | − | 0.738406i | ||||
\(287\) | −5.78246 | + | 23.1638i | −0.341328 | + | 1.36732i | ||||
\(288\) | 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 | \(-0.189576\pi\) |
−0.899738 | + | 0.436430i | \(0.856243\pi\) | |||||||
\(294\) | 12.6444 | − | 18.3977i | 0.737435 | − | 1.07297i | ||||
\(295\) | 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 | ||||
\(301\) | 25.9428 | − | 7.43089i | 1.49532 | − | 0.428309i | ||||
\(302\) | 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 | \(-0.542480\pi\) | ||||
−0.133059 | + | 0.991108i | \(0.542480\pi\) | |||||||
\(308\) | 1.34783 | − | 5.39924i | 0.0767999 | − | 0.307650i | ||||
\(309\) | −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 | \(-0.215634\pi\) | ||||
0.779183 | + | 0.626797i | \(0.215634\pi\) | |||||||
\(312\) | 1.13380 | − | 10.0024i | 0.0641887 | − | 0.566273i | ||||
\(313\) | 5.49332 | 0.310501 | 0.155250 | − | 0.987875i | \(-0.450382\pi\) | ||||
0.155250 | + | 0.987875i | \(0.450382\pi\) | |||||||
\(314\) | 31.8671 | 1.79837 | ||||||||
\(315\) | −5.77772 | − | 8.88013i | −0.325538 | − | 0.500338i | ||||
\(316\) | −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 | ||||
\(322\) | −34.4716 | + | 9.87383i | −1.92103 | + | 0.550247i | ||||
\(323\) | −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 | ||||
\(329\) | −18.1105 | − | 17.4992i | −0.998466 | − | 0.964763i | ||||
\(330\) | −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 | ||||
\(336\) | −3.67288 | − | 21.9095i | −0.200372 | − | 1.19526i | ||||
\(337\) | 0.748747 | + | 1.29687i | 0.0407869 | + | 0.0706449i | 0.885698 | − | 0.464261i | \(-0.153680\pi\) |
−0.844911 | + | 0.534906i | \(0.820347\pi\) | |||||||
\(338\) | 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 | ||||
\(343\) | −12.4044 | + | 13.7525i | −0.669772 | + | 0.742567i | ||||
\(344\) | 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 | 0.250094 | − | 0.968222i | \(-0.419539\pi\) |
0.713458 | − | 0.700698i | \(-0.247128\pi\) | |||||||
\(350\) | 3.79735 | − | 15.2117i | 0.202977 | − | 0.813098i | ||||
\(351\) | 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 | 0.929073 | + | 0.369897i | \(0.120607\pi\) |
−0.144196 | + | 0.989549i | \(0.546060\pi\) | |||||||
\(354\) | 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 | ||||
\(357\) | 6.64928 | + | 2.48389i | 0.351917 | + | 0.131461i | ||||
\(358\) | −1.56612 | + | 2.71260i | −0.0827720 | + | 0.143365i | ||||
\(359\) | 2.70535 | + | 4.68580i | 0.142783 | + | 0.247307i | 0.928544 | − | 0.371224i | \(-0.121062\pi\) |
−0.785761 | + | 0.618531i | \(0.787728\pi\) | |||||||
\(360\) | −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 | ||||
\(364\) | 4.61090 | − | 18.4707i | 0.241677 | − | 0.968126i | ||||
\(365\) | −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 | 0.992442 | + | 0.122715i | \(0.0391602\pi\) |
−0.389946 | + | 0.920838i | \(0.627506\pi\) | |||||||
\(368\) | −17.8417 | + | 30.9027i | −0.930063 | + | 1.61092i | ||||
\(369\) | −18.4398 | + | 19.8199i | −0.959937 | + | 1.03178i | ||||
\(370\) | −1.38416 | −0.0719591 | ||||||||
\(371\) | 3.84254 | − | 1.10063i | 0.199495 | − | 0.0571421i | ||||
\(372\) | −7.45075 | − | 5.50664i | −0.386304 | − | 0.285506i | ||||
\(373\) | −10.7515 | + | 18.6222i | −0.556692 | + | 0.964219i | 0.441078 | + | 0.897469i | \(0.354596\pi\) |
−0.997770 | + | 0.0667498i | \(0.978737\pi\) | |||||||
\(374\) | 4.31504 | 0.223125 | ||||||||
\(375\) | −15.2797 | − | 11.2928i | −0.789039 | − | 0.583156i | ||||
\(376\) | −10.6878 | −0.551184 | ||||||||
\(377\) | 0.320615 | 0.0165125 | ||||||||
\(378\) | 22.6371 | − | 11.3271i | 1.16433 | − | 0.582604i | ||||
\(379\) | 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 | 0.0549390 | − | 0.998490i | \(-0.482504\pi\) |
0.837248 | − | 0.546823i | \(-0.184163\pi\) | |||||||
\(384\) | −11.9306 | − | 8.81756i | −0.608831 | − | 0.449969i | ||||
\(385\) | 3.84244 | + | 3.71274i | 0.195829 | + | 0.189219i | ||||
\(386\) | −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 | 0.955944 | + | 0.293548i | \(0.0948361\pi\) |
−0.223752 | + | 0.974646i | \(0.571831\pi\) | |||||||
\(390\) | −17.7186 | − | 13.0953i | −0.897216 | − | 0.663107i | ||||
\(391\) | −5.70066 | − | 9.87383i | −0.288295 | − | 0.499341i | ||||
\(392\) | 0.269786 | + | 7.85531i | 0.0136262 | + | 0.396753i | ||||
\(393\) | 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 | \(-0.0761109\pi\) |
−0.690882 | + | 0.722968i | \(0.742778\pi\) | |||||||
\(398\) | 7.99049 | − | 13.8399i | 0.400527 | − | 0.693734i | ||||
\(399\) | 8.85289 | − | 7.30203i | 0.443199 | − | 0.365559i | ||||
\(400\) | −7.80111 | − | 13.5119i | −0.390056 | − | 0.675596i | ||||
\(401\) | 0.541061 | − | 0.937146i | 0.0270193 | − | 0.0467988i | −0.852200 | − | 0.523217i | \(-0.824732\pi\) |
0.879219 | + | 0.476418i | \(0.158065\pi\) | |||||||
\(402\) | −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 | ||||
\(406\) | 0.290086 | − | 0.0830905i | 0.0143967 | − | 0.00412371i | ||||
\(407\) | −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 | \(-0.680578\pi\) | ||||
−0.537360 | + | 0.843353i | \(0.680578\pi\) | |||||||
\(410\) | 22.1768 | 1.09524 | ||||||||
\(411\) | 0.432578 | − | 3.81621i | 0.0213375 | − | 0.188240i | ||||
\(412\) | −1.34182 | + | 2.32410i | −0.0661069 | + | 0.114500i | ||||
\(413\) | −16.0648 | − | 15.5225i | −0.790497 | − | 0.763814i | ||||
\(414\) | −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 | 0.990369 | + | 0.138455i | \(0.0442135\pi\) |
−0.375279 | + | 0.926912i | \(0.622453\pi\) | |||||||
\(420\) | −7.96548 | − | 2.97556i | −0.388676 | − | 0.145193i | ||||
\(421\) | −14.8304 | + | 25.6869i | −0.722788 | + | 1.25191i | 0.237090 | + | 0.971488i | \(0.423806\pi\) |
−0.959878 | + | 0.280418i | \(0.909527\pi\) | |||||||
\(422\) | 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 | ||||
\(427\) | 6.16305 | + | 5.95502i | 0.298251 | + | 0.288184i | ||||
\(428\) | 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 | −0.801108 | − | 0.598520i | \(-0.795756\pi\) |
0.918887 | + | 0.394520i | \(0.129089\pi\) | |||||||
\(432\) | 8.36752 | − | 23.7594i | 0.402582 | − | 1.14312i | ||||
\(433\) | 9.71430 | 0.466839 | 0.233420 | − | 0.972376i | \(-0.425008\pi\) | ||||
0.233420 | + | 0.972376i | \(0.425008\pi\) | |||||||
\(434\) | 13.4798 | + | 13.0247i | 0.647049 | + | 0.625208i | ||||
\(435\) | 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 | \(-0.615092\pi\) | ||||
−0.353744 | + | 0.935342i | \(0.615092\pi\) | |||||||
\(440\) | 2.26760 | 0.108103 | ||||||||
\(441\) | −19.8520 | + | 6.84835i | −0.945331 | + | 0.326112i | ||||
\(442\) | 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 | ||||
\(448\) | −4.95519 | − | 4.78793i | −0.234111 | − | 0.226208i | ||||
\(449\) | 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 | ||||
\(455\) | 13.1449 | + | 12.7012i | 0.616242 | + | 0.595441i | ||||
\(456\) | 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 | \(-0.812334\pi\) |
0.897103 | + | 0.441822i | \(0.145668\pi\) | |||||||
\(462\) | −9.84843 | + | 8.12317i | −0.458190 | + | 0.377924i | ||||
\(463\) | −13.9324 | − | 24.1317i | −0.647494 | − | 1.12149i | −0.983719 | − | 0.179711i | \(-0.942484\pi\) |
0.336225 | − | 0.941782i | \(-0.390850\pi\) | |||||||
\(464\) | 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 | −0.990126 | − | 0.140182i | \(-0.955231\pi\) |
0.373661 | − | 0.927565i | \(-0.378102\pi\) | |||||||
\(468\) | 14.7038 | − | 15.8043i | 0.679682 | − | 0.730554i | ||||
\(469\) | 13.1919 | + | 12.7466i | 0.609146 | + | 0.588585i | ||||
\(470\) | −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 | ||||
\(476\) | 5.47677 | − | 1.56873i | 0.251027 | − | 0.0719027i | ||||
\(477\) | 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 | 0.960422 | + | 0.278551i | \(0.0898540\pi\) |
−0.238979 | + | 0.971025i | \(0.576813\pi\) | |||||||
\(480\) | −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 | ||||
\(483\) | 31.5986 | + | 11.8039i | 1.43779 | + | 0.537095i | ||||
\(484\) | 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 | −0.869473 | − | 0.493980i | \(-0.835541\pi\) |
0.862536 | + | 0.505996i | \(0.168875\pi\) | |||||||
\(488\) | 3.63710 | 0.164644 | ||||||||
\(489\) | −2.38378 | + | 21.0297i | −0.107798 | + | 0.950996i | ||||
\(490\) | 15.1849 | + | 8.08516i | 0.685983 | + | 0.365250i | ||||
\(491\) | −9.06981 | − | 15.7094i | −0.409315 | − | 0.708954i | 0.585498 | − | 0.810674i | \(-0.300899\pi\) |
−0.994813 | + | 0.101720i | \(0.967566\pi\) | |||||||
\(492\) | −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 | ||||||||
\(497\) | −23.4606 | − | 22.6687i | −1.05235 | − | 1.01683i | ||||
\(498\) | −16.3803 | + | 7.13355i | −0.734017 | + | 0.319662i | ||||
\(499\) | 10.6546 | − | 18.4543i | 0.476964 | − | 0.826126i | −0.522687 | − | 0.852524i | \(-0.675070\pi\) |
0.999652 | + | 0.0263983i | \(0.00840381\pi\) | |||||||
\(500\) | −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 | \(-0.624297\pi\) | ||||
−0.380642 | + | 0.924722i | \(0.624297\pi\) | |||||||
\(504\) | −4.03926 | + | 7.94444i | −0.179923 | + | 0.353873i | ||||
\(505\) | 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 | 0.0943635 | + | 0.995538i | \(0.469918\pi\) |
−0.909343 | + | 0.416048i | \(0.863415\pi\) | |||||||
\(510\) | 0.742614 | − | 6.55135i | 0.0328835 | − | 0.290099i | ||||
\(511\) | −7.01670 | + | 2.00982i | −0.310401 | + | 0.0889093i | ||||
\(512\) | −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 | ||||
\(518\) | −0.664525 | + | 2.66200i | −0.0291975 | + | 0.116961i | ||||
\(519\) | 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 | \(-0.971129\pi\) |
0.576386 | + | 0.817178i | \(0.304463\pi\) | |||||||
\(522\) | 0.333473 | + | 0.0765843i | 0.0145957 | + | 0.00335200i | ||||
\(523\) | −20.9715 | − | 36.3236i | −0.917018 | − | 1.58832i | −0.803920 | − | 0.594737i | \(-0.797256\pi\) |
−0.113097 | − | 0.993584i | \(-0.536077\pi\) | |||||||
\(524\) | 1.39952 | − | 2.42405i | 0.0611385 | − | 0.105895i | ||||
\(525\) | −11.3778 | + | 9.38461i | −0.496567 | + | 0.409578i | ||||
\(526\) | 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 | ||||
\(532\) | 2.23082 | − | 8.93637i | 0.0967183 | − | 0.387441i | ||||
\(533\) | 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 | ||||
\(539\) | 8.98500 | − | 5.60726i | 0.387011 | − | 0.241522i | ||||
\(540\) | −6.27438 | − | 7.32073i | −0.270006 | − | 0.315034i | ||||
\(541\) | −1.44272 | − | 2.49886i | −0.0620273 | − | 0.107434i | 0.833344 | − | 0.552754i | \(-0.186423\pi\) |
−0.895371 | + | 0.445320i | \(0.853090\pi\) | |||||||
\(542\) | −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 | ||||
\(546\) | −33.6912 | + | 27.7892i | −1.44185 | + | 1.18927i | ||||
\(547\) | 1.38738 | − | 2.40301i | 0.0593201 | − | 0.102745i | −0.834840 | − | 0.550492i | \(-0.814440\pi\) |
0.894160 | + | 0.447747i | \(0.147773\pi\) | |||||||
\(548\) | −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 | ||||
\(553\) | −11.2626 | − | 10.8824i | −0.478935 | − | 0.462768i | ||||
\(554\) | −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 | −0.322864 | − | 0.946445i | \(-0.604646\pi\) |
0.981078 | − | 0.193614i | \(-0.0620211\pi\) | |||||||
\(558\) | 6.23745 | + | 20.3181i | 0.264052 | + | 0.860136i | ||||
\(559\) | −52.7939 | −2.23294 | ||||||||
\(560\) | 16.4577 | − | 4.71405i | 0.695465 | − | 0.199205i | ||||
\(561\) | −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 | \(-0.498068\pi\) | ||||
0.00606973 | + | 0.999982i | \(0.498068\pi\) | |||||||
\(564\) | −18.4315 | − | 13.6222i | −0.776105 | − | 0.573597i | ||||
\(565\) | −19.3567 | −0.814344 | ||||||||
\(566\) | −34.5331 | −1.45154 | ||||||||
\(567\) | −23.4583 | − | 4.08765i | −0.985155 | − | 0.171665i | ||||
\(568\) | −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 | ||||
\(574\) | 10.6469 | − | 42.6501i | 0.444393 | − | 1.78018i | ||||
\(575\) | 23.6902 | 0.987950 | ||||||||
\(576\) | −2.29290 | − | 7.46900i | −0.0955376 | − | 0.311208i | ||||
\(577\) | 12.0812 | − | 20.9253i | 0.502949 | − | 0.871133i | −0.497045 | − | 0.867725i | \(-0.665582\pi\) |
0.999994 | − | 0.00340833i | \(-0.00108491\pi\) | |||||||
\(578\) | −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 | ||||
\(581\) | 14.2491 | − | 4.08142i | 0.591152 | − | 0.169326i | ||||
\(582\) | 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 | −0.207339 | − | 0.978269i | \(-0.566480\pi\) |
0.950875 | − | 0.309574i | \(-0.100186\pi\) | |||||||
\(588\) | −9.54672 | + | 13.8905i | −0.393700 | + | 0.572836i | ||||
\(589\) | 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 | 0.999904 | + | 0.0138558i | \(0.00441057\pi\) |
−0.487953 | + | 0.872870i | \(0.662256\pi\) | |||||||
\(594\) | −14.2286 | + | 2.66253i | −0.583807 | + | 0.109245i | ||||
\(595\) | −1.32482 | + | 5.30706i | −0.0543124 | + | 0.217568i | ||||
\(596\) | −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 | \(-0.809101\pi\) |
0.901544 | + | 0.432688i | \(0.142435\pi\) | |||||||
\(602\) | −47.7669 | + | 13.6821i | −1.94683 | + | 0.557639i | ||||
\(603\) | 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 | \(-0.992703\pi\) |
0.519719 | + | 0.854337i | \(0.326036\pi\) | |||||||
\(608\) | −8.36436 | − | 14.4875i | −0.339219 | − | 0.587545i | ||||
\(609\) | −0.265910 | − | 0.0993324i | −0.0107752 | − | 0.00402515i | ||||
\(610\) | 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 | −0.825113 | − | 0.564968i | \(-0.808888\pi\) |
0.901833 | + | 0.432084i | \(0.142222\pi\) | |||||||
\(614\) | 8.58528 | 0.346474 | ||||||||
\(615\) | −16.7769 | − | 12.3994i | −0.676512 | − | 0.499990i | ||||
\(616\) | 1.08865 | − | 4.36101i | 0.0438631 | − | 0.175710i | ||||
\(617\) | −17.5615 | − | 30.4174i | −0.706999 | − | 1.22456i | −0.965965 | − | 0.258672i | \(-0.916715\pi\) |
0.258966 | − | 0.965886i | \(-0.416618\pi\) | |||||||
\(618\) | 5.64441 | − | 2.45812i | 0.227051 | − | 0.0988801i | ||||
\(619\) | 10.5816 | + | 18.3279i | 0.425311 | + | 0.736660i | 0.996449 | − | 0.0841934i | \(-0.0268314\pi\) |
−0.571138 | + | 0.820854i | \(0.693498\pi\) | |||||||
\(620\) | 3.56983 | − | 6.18312i | 0.143368 | − | 0.248320i | ||||
\(621\) | 24.8901 | + | 29.0409i | 0.998805 | + | 1.16537i | ||||
\(622\) | −50.6011 | −2.02892 | ||||||||
\(623\) | −0.901339 | + | 3.61064i | −0.0361114 | + | 0.144657i | ||||
\(624\) | −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 | ||||||||
\(630\) | 10.6382 | + | 16.3505i | 0.423835 | + | 0.651418i | ||||
\(631\) | 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 | ||||
\(637\) | 30.7375 | − | 19.1823i | 1.21786 | − | 0.760031i | ||||
\(638\) | −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 | 0.946905 | − | 0.321514i | \(-0.104192\pi\) |
−0.751891 | + | 0.659287i | \(0.770858\pi\) | |||||||
\(642\) | 2.07593 | − | 18.3139i | 0.0819304 | − | 0.722791i | ||||
\(643\) | 21.9748 | + | 38.0615i | 0.866602 | + | 1.50100i | 0.865448 | + | 0.501000i | \(0.167034\pi\) |
0.00115462 | + | 0.999999i | \(0.499632\pi\) | |||||||
\(644\) | 26.0266 | − | 7.45491i | 1.02559 | − | 0.293764i | ||||
\(645\) | −2.65590 | + | 23.4304i | −0.104576 | + | 0.922570i | ||||
\(646\) | 7.14190 | 0.280994 | ||||||||
\(647\) | 22.1936 | − | 38.4404i | 0.872521 | − | 1.51125i | 0.0131398 | − | 0.999914i | \(-0.495817\pi\) |
0.859381 | − | 0.511336i | \(-0.170849\pi\) | |||||||
\(648\) | −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 | ||||
\(651\) | −2.91523 | − | 17.3900i | −0.114257 | − | 0.681569i | ||||
\(652\) | 8.49341 | + | 14.7110i | 0.332628 | + | 0.576128i | ||||
\(653\) | −20.9956 | + | 36.3655i | −0.821622 | + | 1.42309i | 0.0828523 | + | 0.996562i | \(0.473597\pi\) |
−0.904474 | + | 0.426529i | \(0.859736\pi\) | |||||||
\(654\) | 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 | ||||
\(658\) | 33.3459 | + | 32.2203i | 1.29996 | + | 1.25608i | ||||
\(659\) | −19.6365 | + | 34.0114i | −0.764928 | + | 1.32489i | 0.175356 | + | 0.984505i | \(0.443892\pi\) |
−0.940284 | + | 0.340390i | \(0.889441\pi\) | |||||||
\(660\) | 3.91053 | + | 2.89016i | 0.152217 | + | 0.112499i | ||||
\(661\) | −0.186739 | −0.00726330 | −0.00363165 | − | 0.999993i | \(-0.501156\pi\) | ||||
−0.00363165 | + | 0.999993i | \(0.501156\pi\) | |||||||
\(662\) | 38.1030 | 1.48092 | ||||||||
\(663\) | −11.1673 | − | 8.25344i | −0.433703 | − | 0.320537i | ||||
\(664\) | 3.14522 | − | 5.44769i | 0.122058 | − | 0.211411i | ||||
\(665\) | 6.35969 | + | 6.14502i | 0.246618 | + | 0.238293i | ||||
\(666\) | −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 | ||||
\(672\) | 5.06121 | + | 30.1913i | 0.195241 | + | 1.16465i | ||||
\(673\) | −5.43382 | + | 9.41166i | −0.209458 | + | 0.362793i | −0.951544 | − | 0.307512i | \(-0.900503\pi\) |
0.742086 | + | 0.670305i | \(0.233837\pi\) | |||||||
\(674\) | −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 | \(-0.316317\pi\) | ||||
0.545560 | + | 0.838072i | \(0.316317\pi\) | |||||||
\(678\) | 5.20910 | − | 45.9547i | 0.200054 | − | 1.76488i | ||||
\(679\) | −31.0157 | + | 8.88396i | −1.19027 | + | 0.340935i | ||||
\(680\) | 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 | −0.730243 | − | 0.683187i | \(-0.760593\pi\) |
0.956779 | + | 0.290816i | \(0.0939267\pi\) | |||||||
\(684\) | 7.11389 | − | 7.64634i | 0.272007 | − | 0.292365i | ||||
\(685\) | 2.95968 | 0.113083 | ||||||||
\(686\) | 22.8394 | − | 25.3217i | 0.872012 | − | 0.966788i | ||||
\(687\) | 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 | \(-0.427269\pi\) | ||||
0.226507 | + | 0.974010i | \(0.427269\pi\) | |||||||
\(692\) | 14.0976 | 0.535909 | ||||||||
\(693\) | 11.9922 | − | 0.638859i | 0.455546 | − | 0.0242683i | ||||
\(694\) | 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 | ||||
\(700\) | −2.86706 | + | 11.4851i | −0.108365 | + | 0.434095i | ||||
\(701\) | −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 | ||||
\(707\) | 0.716849 | − | 2.87160i | 0.0269599 | − | 0.107998i | ||||
\(708\) | −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 | ||||
\(714\) | −12.2429 | − | 4.57343i | −0.458180 | − | 0.171156i | ||||
\(715\) | −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 | \(-0.0163526\pi\) |
−0.543811 | + | 0.839208i | \(0.683019\pi\) | |||||||
\(720\) | 18.9192 | + | 4.34492i | 0.705078 | + | 0.161926i | ||||
\(721\) | −4.91003 | + | 1.40640i | −0.182859 | + | 0.0523771i | ||||
\(722\) | −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 | 0.265899 | + | 0.964001i | \(0.414331\pi\) |
−0.967799 | + | 0.251726i | \(0.919002\pi\) | |||||||
\(728\) | 3.72426 | − | 14.9189i | 0.138030 | − | 0.552932i | ||||
\(729\) | −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 | \(-0.847456\pi\) |
0.842997 | + | 0.537918i | \(0.180789\pi\) | |||||||
\(734\) | −21.2519 | − | 36.8093i | −0.784421 | − | 1.35866i | ||||
\(735\) | −6.96697 | − | 14.6066i | −0.256980 | − | 0.538771i | ||||
\(736\) | 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 | 0.438667 | + | 0.898650i | \(0.355451\pi\) |
−0.997587 | + | 0.0694277i | \(0.977883\pi\) | |||||||
\(740\) | 1.04507 | 0.0384174 | ||||||||
\(741\) | −20.5833 | + | 8.96397i | −0.756148 | + | 0.329300i | ||||
\(742\) | −7.07504 | + | 2.02653i | −0.259733 | + | 0.0743963i | ||||
\(743\) | −2.54785 | − | 4.41300i | −0.0934715 | − | 0.161897i | 0.815498 | − | 0.578760i | \(-0.196463\pi\) |
−0.908970 | + | 0.416862i | \(0.863130\pi\) | |||||||
\(744\) | −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 | ||||||||
\(749\) | −3.70345 | + | 14.8355i | −0.135321 | + | 0.542079i | ||||
\(750\) | 28.1336 | + | 20.7927i | 1.02729 | + | 0.759242i | ||||
\(751\) | 0.487506 | − | 0.844384i | 0.0177893 | − | 0.0308120i | −0.856994 | − | 0.515327i | \(-0.827671\pi\) |
0.874783 | + | 0.484515i | \(0.161004\pi\) | |||||||
\(752\) | 46.1435 | 1.68268 | ||||||||
\(753\) | −4.54965 | − | 3.36251i | −0.165798 | − | 0.122537i | ||||
\(754\) | −0.590329 | −0.0214985 | ||||||||
\(755\) | 16.9075 | 0.615326 | ||||||||
\(756\) | −17.0914 | + | 8.55216i | −0.621608 | + | 0.311039i | ||||
\(757\) | 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 | 0.327023 | − | 0.945016i | \(-0.393955\pi\) |
0.654897 | − | 0.755718i | \(-0.272712\pi\) | |||||||
\(762\) | −21.8000 | − | 16.1117i | −0.789729 | − | 0.583666i | ||||
\(763\) | −20.9636 | + | 6.00468i | −0.758932 | + | 0.217384i | ||||
\(764\) | 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 | \(-0.289439\pi\) |
−0.990507 | + | 0.137462i | \(0.956106\pi\) | |||||||
\(770\) | −7.07485 | − | 6.83604i | −0.254960 | − | 0.246354i | ||||
\(771\) | 7.45681 | − | 3.24742i | 0.268551 | − | 0.116953i | ||||
\(772\) | 8.60094 | 0.309554 | ||||||||
\(773\) | −27.4972 | + | 47.6266i | −0.989007 | + | 1.71301i | −0.366447 | + | 0.930439i | \(0.619426\pi\) |
−0.622561 | + | 0.782572i | \(0.713908\pi\) | |||||||
\(774\) | −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 | ||||
\(777\) | 1.99108 | − | 1.64228i | 0.0714295 | − | 0.0589164i | ||||
\(778\) | −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 | ||||
\(784\) | −1.16477 | − | 33.9144i | −0.0415989 | − | 1.21123i | ||||
\(785\) | 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 | \(-0.447630\pi\) | ||||
0.163785 | + | 0.986496i | \(0.447630\pi\) | |||||||
\(788\) | 13.5821 | 0.483841 | ||||||||
\(789\) | 3.81385 | − | 33.6458i | 0.135777 | − | 1.19782i | ||||
\(790\) | −7.27374 | + | 12.5985i | −0.258788 | + | 0.448234i | ||||
\(791\) | −9.29301 | + | 37.2266i | −0.330421 | + | 1.32362i | ||||
\(792\) | 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 | \(-0.126673\pi\) |
−0.796542 | + | 0.604583i | \(0.793340\pi\) | |||||||
\(798\) | −16.3003 | + | 13.4448i | −0.577024 | + | 0.475941i | ||||
\(799\) | −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 | ||||
\(805\) | −6.29579 | + | 25.2201i | −0.221898 | + | 0.888892i | ||||
\(806\) | −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 | −0.913510 | − | 0.406817i | \(-0.866639\pi\) |
0.809069 | + | 0.587714i | \(0.199972\pi\) | |||||||
\(810\) | 1.59367 | + | 22.0609i | 0.0559960 | + | 0.775142i | ||||
\(811\) | 44.4139 | 1.55958 | 0.779791 | − | 0.626039i | \(-0.215325\pi\) | ||||
0.779791 | + | 0.626039i | \(0.215325\pi\) | |||||||
\(812\) | −0.219020 | + | 0.0627347i | −0.00768609 | + | 0.00220156i | ||||
\(813\) | −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 | ||||||||
\(819\) | 41.0250 | − | 2.18552i | 1.43353 | − | 0.0763684i | ||||
\(820\) | −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 | ||||
\(826\) | 29.5792 | + | 28.5807i | 1.02919 | + | 0.994450i | ||||
\(827\) | −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 | −0.257234 | − | 0.966349i | \(-0.582811\pi\) |
0.965500 | − | 0.260403i | \(-0.0838555\pi\) | |||||||
\(830\) | −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 | ||||
\(833\) | 9.57041 | + | 5.09575i | 0.331595 | + | 0.176557i | ||||
\(834\) | 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 | \(-0.725783\pi\) |
0.982804 | + | 0.184653i | \(0.0591161\pi\) | |||||||
\(840\) | −6.43378 | − | 2.40338i | −0.221987 | − | 0.0829246i | ||||
\(841\) | 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 | ||||
\(847\) | 22.1556 | − | 6.34612i | 0.761276 | − | 0.218055i | ||||
\(848\) | −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 | \(-0.909819\pi\) |
0.722153 | + | 0.691734i | \(0.243153\pi\) | |||||||
\(854\) | −11.3477 | − | 10.9646i | −0.388309 | − | 0.375202i | ||||
\(855\) | 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 | −0.685547 | − | 0.728029i | \(-0.740437\pi\) |
−0.287718 | − | 0.957715i | \(-0.592897\pi\) | |||||||
\(858\) | 22.8980 | − | 9.97200i | 0.781725 | − | 0.340439i | ||||
\(859\) | 10.0501 | − | 17.4073i | 0.342905 | − | 0.593929i | −0.642066 | − | 0.766650i | \(-0.721922\pi\) |
0.984971 | + | 0.172721i | \(0.0552557\pi\) | |||||||
\(860\) | 9.46298 | + | 16.3904i | 0.322685 | + | 0.558907i | ||||
\(861\) | −31.9007 | + | 26.3123i | −1.08717 | + | 0.896722i | ||||
\(862\) | −4.50214 | + | 7.79794i | −0.153344 | + | 0.265599i | ||||
\(863\) | −3.08893 | − | 5.35018i | −0.105148 | − | 0.182122i | 0.808650 | − | 0.588289i | \(-0.200198\pi\) |
−0.913799 | + | 0.406167i | \(0.866865\pi\) | |||||||
\(864\) | −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 | ||||
\(868\) | −10.1774 | − | 9.83390i | −0.345445 | − | 0.333784i | ||||
\(869\) | 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 | ||||||||
\(875\) | −20.8714 | − | 20.1669i | −0.705583 | − | 0.681767i | ||||
\(876\) | −6.09009 | + | 2.65221i | −0.205765 | + | 0.0896099i | ||||
\(877\) | 18.6287 | − | 32.2658i | 0.629046 | − | 1.08954i | −0.358697 | − | 0.933454i | \(-0.616779\pi\) |
0.987743 | − | 0.156086i | \(-0.0498877\pi\) | |||||||
\(878\) | 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 | \(-0.563614\pi\) | ||||
−0.198520 | + | 0.980097i | \(0.563614\pi\) | |||||||
\(882\) | 36.5522 | − | 12.6095i | 1.23078 | − | 0.424582i | ||||
\(883\) | −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 | \(-0.992239\pi\) |
0.520964 | + | 0.853579i | \(0.325573\pi\) | |||||||
\(888\) | 0.123372 | − | 1.08839i | 0.00414010 | − | 0.0365240i | ||||
\(889\) | 16.1727 | + | 15.6268i | 0.542416 | + | 0.524107i | ||||
\(890\) | 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 | ||||
\(896\) | −16.2967 | − | 15.7466i | −0.544435 | − | 0.526058i | ||||
\(897\) | −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 | ||||
\(903\) | 43.7858 | + | 16.3565i | 1.45710 | + | 0.544311i | ||||
\(904\) | 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 | 0.924069 | − | 0.382226i | \(-0.124842\pi\) |
−0.793052 | + | 0.609154i | \(0.791509\pi\) | |||||||
\(908\) | −7.77317 | − | 13.4635i | −0.257962 | − | 0.446803i | ||||
\(909\) | 2.28597 | − | 2.45707i | 0.0758209 | − | 0.0814957i | ||||
\(910\) | −24.2029 | − | 23.3860i | −0.802319 | − | 0.775237i | ||||
\(911\) | −14.2206 | + | 24.6308i | −0.471150 | + | 0.816055i | −0.999455 | − | 0.0329991i | \(-0.989494\pi\) |
0.528306 | + | 0.849054i | \(0.322827\pi\) | |||||||
\(912\) | −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 | ||||
\(917\) | 5.12118 | − | 1.46688i | 0.169116 | − | 0.0484406i | ||||
\(918\) | −9.64370 | − | 11.2519i | −0.318290 | − | 0.371369i | ||||
\(919\) | 3.99271 | + | 6.91558i | 0.131707 | + | 0.228124i | 0.924335 | − | 0.381582i | \(-0.124621\pi\) |
−0.792627 | + | 0.609706i | \(0.791287\pi\) | |||||||
\(920\) | 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 | ||||
\(924\) | 7.43573 | − | 6.13313i | 0.244617 | − | 0.201765i | ||||
\(925\) | 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 | \(-0.400202\pi\) | ||||
0.308414 | + | 0.951252i | \(0.400202\pi\) | |||||||
\(930\) | −15.0166 | + | 6.53966i | −0.492412 | + | 0.214444i | ||||
\(931\) | 14.8712 | − | 9.28068i | 0.487385 | − | 0.304162i | ||||
\(932\) | −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 | \(-0.208256\pi\) | ||||
0.793500 | + | 0.608570i | \(0.208256\pi\) | |||||||
\(938\) | −24.2895 | − | 23.4696i | −0.793081 | − | 0.766310i | ||||
\(939\) | 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 | \(-0.391636\pi\) | ||||
0.333898 | + | 0.942609i | \(0.391636\pi\) | |||||||
\(942\) | 44.3882 | + | 32.8060i | 1.44624 | + | 1.06888i | ||||
\(943\) | 66.4220 | 2.16300 | ||||||||
\(944\) | 40.9312 | 1.33220 | ||||||||
\(945\) | 1.09389 | − | 18.3172i | 0.0355842 | − | 0.595858i | ||||
\(946\) | 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 | ||||
\(952\) | 4.42363 | − | 1.26708i | 0.143371 | − | 0.0410662i | ||||
\(953\) | 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 | ||||
\(959\) | 1.42092 | − | 5.69201i | 0.0458838 | − | 0.183804i | ||||
\(960\) | 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 | ||||
\(966\) | −58.1807 | − | 21.7338i | −1.87193 | − | 0.699273i | ||||
\(967\) | 0.863670 | + | 1.49592i | 0.0277738 | + | 0.0481056i | 0.879578 | − | 0.475754i | \(-0.157825\pi\) |
−0.851804 | + | 0.523860i | \(0.824492\pi\) | |||||||
\(968\) | 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 | \(-0.205384\pi\) |
−0.920294 | + | 0.391228i | \(0.872050\pi\) | |||||||
\(972\) | −21.6526 | − | 0.882976i | −0.694506 | − | 0.0283215i | ||||
\(973\) | −0.484024 | + | 1.93894i | −0.0155171 | + | 0.0621595i | ||||
\(974\) | 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 | ||||
\(980\) | −11.4648 | − | 6.10443i | −0.366231 | − | 0.194999i | ||||
\(981\) | −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 | −0.999847 | − | 0.0174790i | \(-0.994436\pi\) |
0.484786 | − | 0.874633i | \(-0.338897\pi\) | |||||||
\(984\) | −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 | ||||
\(987\) | −7.21163 | − | 43.0190i | −0.229549 | − | 1.36931i | ||||
\(988\) | −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 | −0.957003 | − | 0.290078i | \(-0.906319\pi\) |
0.729716 | + | 0.683750i | \(0.239652\pi\) | |||||||
\(992\) | −25.7039 | −0.816100 | ||||||||
\(993\) | −28.8253 | − | 21.3039i | −0.914742 | − | 0.676059i | ||||
\(994\) | 43.1965 | + | 41.7384i | 1.37011 | + | 1.32386i | ||||
\(995\) | −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 | −0.838960 | − | 0.544194i | \(-0.816836\pi\) |
−0.0518058 | − | 0.998657i | \(-0.516498\pi\) | |||||||
\(998\) | −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 \(a_p\))