Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [529,2,Mod(118,529)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(529, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("529.118");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 529 = 23^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 529.c (of order \(11\), degree \(10\), 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: | \(4.22408626693\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | 20.0.54296067514572573056640625.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - x^{19} + 2 x^{18} - 3 x^{17} + 5 x^{16} - 8 x^{15} + 13 x^{14} - 21 x^{13} + 34 x^{12} - 55 x^{11} + 89 x^{10} + 55 x^{9} + 34 x^{8} + 21 x^{7} + 13 x^{6} + 8 x^{5} + 5 x^{4} + 3 x^{3} + 2 x^{2} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 23) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 170.2 | ||
Root | \(-0.672156 - 1.47182i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 529.170 |
Dual form | 529.2.c.n.501.2 |
$q$-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 \(\left(\mathbb{Z}/529\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{5}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.55249 | − | 0.455853i | 1.09778 | − | 0.322337i | 0.317809 | − | 0.948155i | \(-0.397053\pi\) |
0.779969 | + | 0.625818i | \(0.215235\pi\) | |||||||
\(3\) | −1.46431 | − | 1.68991i | −0.845422 | − | 0.975669i | 0.154502 | − | 0.987992i | \(-0.450623\pi\) |
−0.999924 | + | 0.0123239i | \(0.996077\pi\) | |||||||
\(4\) | 0.519923 | − | 0.334134i | 0.259962 | − | 0.167067i | ||||
\(5\) | −0.460540 | − | 3.20313i | −0.205960 | − | 1.43248i | −0.786167 | − | 0.618014i | \(-0.787937\pi\) |
0.580207 | − | 0.814469i | \(-0.302972\pi\) | |||||||
\(6\) | −3.04368 | − | 1.95606i | −1.24258 | − | 0.798557i | ||||
\(7\) | 0.513481 | − | 1.12437i | 0.194078 | − | 0.424971i | −0.787427 | − | 0.616408i | \(-0.788587\pi\) |
0.981505 | + | 0.191437i | \(0.0613147\pi\) | |||||||
\(8\) | −1.46431 | + | 1.68991i | −0.517713 | + | 0.597472i | ||||
\(9\) | −0.284630 | + | 1.97964i | −0.0948766 | + | 0.659881i | ||||
\(10\) | −2.17514 | − | 4.76289i | −0.687840 | − | 1.50616i | ||||
\(11\) | −0.732987 | − | 0.215225i | −0.221004 | − | 0.0648926i | 0.169356 | − | 0.985555i | \(-0.445831\pi\) |
−0.390360 | + | 0.920662i | \(0.627649\pi\) | |||||||
\(12\) | −1.32599 | − | 0.389345i | −0.382779 | − | 0.112394i | ||||
\(13\) | 1.24625 | + | 2.72890i | 0.345646 | + | 0.756860i | 1.00000 | 0.000670851i | \(0.000213539\pi\) | |
−0.654354 | + | 0.756189i | \(0.727059\pi\) | |||||||
\(14\) | 0.284630 | − | 1.97964i | 0.0760705 | − | 0.529082i | ||||
\(15\) | −4.73862 | + | 5.46866i | −1.22351 | + | 1.41200i | ||||
\(16\) | −2.01647 | + | 4.41545i | −0.504117 | + | 1.10386i | ||||
\(17\) | −4.40486 | − | 2.83083i | −1.06834 | − | 0.686578i | −0.116501 | − | 0.993191i | \(-0.537168\pi\) |
−0.951834 | + | 0.306613i | \(0.900804\pi\) | |||||||
\(18\) | 0.460540 | + | 3.20313i | 0.108550 | + | 0.754985i | ||||
\(19\) | 1.68251 | − | 1.08128i | 0.385994 | − | 0.248063i | −0.333224 | − | 0.942848i | \(-0.608137\pi\) |
0.719218 | + | 0.694785i | \(0.244500\pi\) | |||||||
\(20\) | −1.30972 | − | 1.51150i | −0.292863 | − | 0.337981i | ||||
\(21\) | −2.65197 | + | 0.778690i | −0.578708 | + | 0.169924i | ||||
\(22\) | −1.23607 | −0.263531 | ||||||||
\(23\) | 0 | 0 | ||||||||
\(24\) | 5.00000 | 1.02062 | ||||||||
\(25\) | −5.25048 | + | 1.54168i | −1.05010 | + | 0.308336i | ||||
\(26\) | 3.17876 | + | 3.66849i | 0.623406 | + | 0.719449i | ||||
\(27\) | −1.88110 | + | 1.20891i | −0.362018 | + | 0.232655i | ||||
\(28\) | −0.108719 | − | 0.756156i | −0.0205459 | − | 0.142900i | ||||
\(29\) | −2.52376 | − | 1.62192i | −0.468651 | − | 0.301183i | 0.284919 | − | 0.958552i | \(-0.408033\pi\) |
−0.753570 | + | 0.657368i | \(0.771670\pi\) | |||||||
\(30\) | −4.86376 | + | 10.6502i | −0.887998 | + | 1.94444i | ||||
\(31\) | 4.39294 | − | 5.06972i | 0.788995 | − | 0.910549i | −0.208729 | − | 0.977973i | \(-0.566933\pi\) |
0.997724 | + | 0.0674245i | \(0.0214782\pi\) | |||||||
\(32\) | −0.481304 | + | 3.34754i | −0.0850833 | + | 0.591767i | ||||
\(33\) | 0.709614 | + | 1.55384i | 0.123528 | + | 0.270488i | ||||
\(34\) | −8.12895 | − | 2.38688i | −1.39410 | − | 0.409346i | ||||
\(35\) | −3.83797 | − | 1.12693i | −0.648736 | − | 0.190486i | ||||
\(36\) | 0.513481 | + | 1.12437i | 0.0855802 | + | 0.187394i | ||||
\(37\) | 0.460540 | − | 3.20313i | 0.0757124 | − | 0.526591i | −0.916304 | − | 0.400483i | \(-0.868842\pi\) |
0.992017 | − | 0.126108i | \(-0.0402486\pi\) | |||||||
\(38\) | 2.11917 | − | 2.44566i | 0.343775 | − | 0.396738i | ||||
\(39\) | 2.78669 | − | 6.10200i | 0.446227 | − | 0.977102i | ||||
\(40\) | 6.08737 | + | 3.91211i | 0.962497 | + | 0.618559i | ||||
\(41\) | −0.778766 | − | 5.41644i | −0.121623 | − | 0.845905i | −0.955718 | − | 0.294285i | \(-0.904919\pi\) |
0.834095 | − | 0.551621i | \(-0.185990\pi\) | |||||||
\(42\) | −3.76220 | + | 2.41782i | −0.580520 | + | 0.373078i | ||||
\(43\) | 0 | 0 | 0.755750 | − | 0.654861i | \(-0.227273\pi\) | ||||
−0.755750 | + | 0.654861i | \(0.772727\pi\) | |||||||
\(44\) | −0.453011 | + | 0.133016i | −0.0682940 | + | 0.0200529i | ||||
\(45\) | 6.47214 | 0.964809 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 2.23607 | 0.326164 | 0.163082 | − | 0.986613i | \(-0.447856\pi\) | ||||
0.163082 | + | 0.986613i | \(0.447856\pi\) | |||||||
\(48\) | 10.4144 | − | 3.05795i | 1.50319 | − | 0.441378i | ||||
\(49\) | 3.58349 | + | 4.13556i | 0.511927 | + | 0.590795i | ||||
\(50\) | −7.44854 | + | 4.78689i | −1.05338 | + | 0.676968i | ||||
\(51\) | 1.66625 | + | 11.5890i | 0.233322 | + | 1.62279i | ||||
\(52\) | 1.55977 | + | 1.00240i | 0.216301 | + | 0.139008i | ||||
\(53\) | 3.51945 | − | 7.70653i | 0.483434 | − | 1.05857i | −0.498071 | − | 0.867136i | \(-0.665958\pi\) |
0.981505 | − | 0.191437i | \(-0.0613146\pi\) | |||||||
\(54\) | −2.36931 | + | 2.73433i | −0.322422 | + | 0.372095i | ||||
\(55\) | −0.351822 | + | 2.44697i | −0.0474396 | + | 0.329950i | ||||
\(56\) | 1.14818 | + | 2.51416i | 0.153432 | + | 0.335969i | ||||
\(57\) | −4.29098 | − | 1.25995i | −0.568355 | − | 0.166884i | ||||
\(58\) | −4.65748 | − | 1.36756i | −0.611557 | − | 0.179569i | ||||
\(59\) | −1.02696 | − | 2.24873i | −0.133699 | − | 0.292760i | 0.830927 | − | 0.556381i | \(-0.187811\pi\) |
−0.964626 | + | 0.263621i | \(0.915083\pi\) | |||||||
\(60\) | −0.636451 | + | 4.42662i | −0.0821655 | + | 0.571474i | ||||
\(61\) | 7.16697 | − | 8.27113i | 0.917637 | − | 1.05901i | −0.0804237 | − | 0.996761i | \(-0.525627\pi\) |
0.998061 | − | 0.0622488i | \(-0.0198272\pi\) | |||||||
\(62\) | 4.50896 | − | 9.87324i | 0.572638 | − | 1.25390i | ||||
\(63\) | 2.07969 | + | 1.33654i | 0.262017 | + | 0.168388i | ||||
\(64\) | −0.602855 | − | 4.19295i | −0.0753569 | − | 0.524119i | ||||
\(65\) | 8.16706 | − | 5.24865i | 1.01300 | − | 0.651015i | ||||
\(66\) | 1.80999 | + | 2.08884i | 0.222794 | + | 0.257118i | ||||
\(67\) | −6.94296 | + | 2.03864i | −0.848217 | + | 0.249059i | −0.676825 | − | 0.736144i | \(-0.736645\pi\) |
−0.171392 | + | 0.985203i | \(0.554826\pi\) | |||||||
\(68\) | −3.23607 | −0.392431 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −6.47214 | −0.773568 | ||||||||
\(71\) | −7.44944 | + | 2.18735i | −0.884086 | + | 0.259591i | −0.692096 | − | 0.721806i | \(-0.743312\pi\) |
−0.191990 | + | 0.981397i | \(0.561494\pi\) | |||||||
\(72\) | −2.92863 | − | 3.37981i | −0.345142 | − | 0.398315i | ||||
\(73\) | 13.0160 | − | 8.36487i | 1.52341 | − | 0.979034i | 0.532213 | − | 0.846610i | \(-0.321361\pi\) |
0.991193 | − | 0.132423i | \(-0.0422758\pi\) | |||||||
\(74\) | −0.745170 | − | 5.18277i | −0.0866243 | − | 0.602485i | ||||
\(75\) | 10.2936 | + | 6.61532i | 1.18861 | + | 0.763871i | ||||
\(76\) | 0.513481 | − | 1.12437i | 0.0589003 | − | 0.128974i | ||||
\(77\) | −0.618367 | + | 0.713633i | −0.0704694 | + | 0.0813260i | ||||
\(78\) | 1.54470 | − | 10.7436i | 0.174903 | − | 1.21648i | ||||
\(79\) | −2.88475 | − | 6.31673i | −0.324560 | − | 0.710688i | 0.675073 | − | 0.737751i | \(-0.264112\pi\) |
−0.999634 | + | 0.0270626i | \(0.991385\pi\) | |||||||
\(80\) | 15.0719 | + | 4.42551i | 1.68509 | + | 0.494787i | ||||
\(81\) | 10.5544 | + | 3.09906i | 1.17271 | + | 0.344340i | ||||
\(82\) | −3.67813 | − | 8.05397i | −0.406181 | − | 0.889413i | ||||
\(83\) | −1.88369 | + | 13.1013i | −0.206762 | + | 1.43806i | 0.576871 | + | 0.816835i | \(0.304273\pi\) |
−0.783633 | + | 0.621224i | \(0.786636\pi\) | |||||||
\(84\) | −1.11864 | + | 1.29097i | −0.122053 | + | 0.140857i | ||||
\(85\) | −7.03890 | + | 15.4131i | −0.763476 | + | 1.67178i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0.954677 | + | 6.63992i | 0.102352 | + | 0.711875i | ||||
\(88\) | 1.43703 | − | 0.923525i | 0.153188 | − | 0.0984481i | ||||
\(89\) | −1.00054 | − | 1.15468i | −0.106057 | − | 0.122396i | 0.700239 | − | 0.713908i | \(-0.253077\pi\) |
−0.806296 | + | 0.591512i | \(0.798531\pi\) | |||||||
\(90\) | 10.0479 | − | 2.95034i | 1.05915 | − | 0.310993i | ||||
\(91\) | 3.70820 | 0.388725 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −15.0000 | −1.55543 | ||||||||
\(94\) | 3.47148 | − | 1.01932i | 0.358056 | − | 0.105135i | ||||
\(95\) | −4.23835 | − | 4.89131i | −0.434845 | − | 0.501838i | ||||
\(96\) | 6.36182 | − | 4.08849i | 0.649300 | − | 0.417280i | ||||
\(97\) | 0.610786 | + | 4.24811i | 0.0620159 | + | 0.431330i | 0.997049 | + | 0.0767695i | \(0.0244606\pi\) |
−0.935033 | + | 0.354561i | \(0.884630\pi\) | |||||||
\(98\) | 7.44854 | + | 4.78689i | 0.752417 | + | 0.483549i | ||||
\(99\) | 0.634698 | − | 1.38979i | 0.0637895 | − | 0.139680i | ||||
\(100\) | −2.21472 | + | 2.55592i | −0.221472 | + | 0.255592i | ||||
\(101\) | 0.636451 | − | 4.42662i | 0.0633293 | − | 0.440465i | −0.933345 | − | 0.358980i | \(-0.883125\pi\) |
0.996675 | − | 0.0814849i | \(-0.0259662\pi\) | |||||||
\(102\) | 7.86973 | + | 17.2323i | 0.779220 | + | 1.70625i | ||||
\(103\) | 17.4439 | + | 5.12199i | 1.71880 | + | 0.504685i | 0.984685 | − | 0.174341i | \(-0.0557796\pi\) |
0.734114 | + | 0.679026i | \(0.237598\pi\) | |||||||
\(104\) | −6.43647 | − | 1.88992i | −0.631148 | − | 0.185322i | ||||
\(105\) | 3.71558 | + | 8.13600i | 0.362604 | + | 0.793992i | ||||
\(106\) | 1.95088 | − | 13.5687i | 0.189486 | − | 1.31791i | ||||
\(107\) | −8.78588 | + | 10.1394i | −0.849363 | + | 0.980217i | −0.999965 | − | 0.00837738i | \(-0.997333\pi\) |
0.150602 | + | 0.988594i | \(0.451879\pi\) | |||||||
\(108\) | −0.574089 | + | 1.25708i | −0.0552418 | + | 0.120963i | ||||
\(109\) | 0 | 0 | 0.540641 | − | 0.841254i | \(-0.318182\pi\) | ||||
−0.540641 | + | 0.841254i | \(0.681818\pi\) | |||||||
\(110\) | 0.569259 | + | 3.95929i | 0.0542767 | + | 0.377503i | ||||
\(111\) | −6.08737 | + | 3.91211i | −0.577787 | + | 0.371321i | ||||
\(112\) | 3.92916 | + | 4.53450i | 0.371271 | + | 0.428470i | ||||
\(113\) | 12.6999 | − | 3.72903i | 1.19471 | − | 0.350798i | 0.376880 | − | 0.926262i | \(-0.376997\pi\) |
0.817827 | + | 0.575464i | \(0.195179\pi\) | |||||||
\(114\) | −7.23607 | −0.677720 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −1.85410 | −0.172149 | ||||||||
\(117\) | −5.75696 | + | 1.69040i | −0.532231 | + | 0.156277i | ||||
\(118\) | −2.61944 | − | 3.02300i | −0.241139 | − | 0.278290i | ||||
\(119\) | −5.44471 | + | 3.49910i | −0.499115 | + | 0.320762i | ||||
\(120\) | −2.30270 | − | 16.0156i | −0.210207 | − | 1.46202i | ||||
\(121\) | −8.76284 | − | 5.63154i | −0.796622 | − | 0.511958i | ||||
\(122\) | 7.35625 | − | 16.1079i | 0.666004 | − | 1.45835i | ||||
\(123\) | −8.01292 | + | 9.24740i | −0.722501 | + | 0.833810i | ||||
\(124\) | 0.590023 | − | 4.10370i | 0.0529856 | − | 0.368523i | ||||
\(125\) | 0.634698 | + | 1.38979i | 0.0567691 | + | 0.124307i | ||||
\(126\) | 3.83797 | + | 1.12693i | 0.341914 | + | 0.100395i | ||||
\(127\) | 19.8694 | + | 5.83418i | 1.76312 | + | 0.517699i | 0.992782 | − | 0.119934i | \(-0.0382682\pi\) |
0.770340 | + | 0.637633i | \(0.220086\pi\) | |||||||
\(128\) | −5.65714 | − | 12.3874i | −0.500025 | − | 1.09490i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 10.2867 | − | 11.8715i | 0.902202 | − | 1.04120i | ||||
\(131\) | 2.19829 | − | 4.81359i | 0.192066 | − | 0.420565i | −0.788960 | − | 0.614445i | \(-0.789380\pi\) |
0.981025 | + | 0.193880i | \(0.0621072\pi\) | |||||||
\(132\) | 0.888135 | + | 0.570770i | 0.0773022 | + | 0.0496791i | ||||
\(133\) | −0.351822 | − | 2.44697i | −0.0305068 | − | 0.212179i | ||||
\(134\) | −9.84957 | + | 6.32993i | −0.850873 | + | 0.546823i | ||||
\(135\) | 4.73862 | + | 5.46866i | 0.407835 | + | 0.470667i | ||||
\(136\) | 11.2339 | − | 3.29858i | 0.963302 | − | 0.282851i | ||||
\(137\) | −13.8885 | −1.18658 | −0.593289 | − | 0.804989i | \(-0.702171\pi\) | ||||
−0.593289 | + | 0.804989i | \(0.702171\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.70820 | 0.229707 | 0.114853 | − | 0.993382i | \(-0.463360\pi\) | ||||
0.114853 | + | 0.993382i | \(0.463360\pi\) | |||||||
\(140\) | −2.37200 | + | 0.696481i | −0.200470 | + | 0.0588634i | ||||
\(141\) | −3.27430 | − | 3.77875i | −0.275746 | − | 0.318228i | ||||
\(142\) | −10.5681 | + | 6.79170i | −0.886854 | + | 0.569946i | ||||
\(143\) | −0.326157 | − | 2.26847i | −0.0272746 | − | 0.189699i | ||||
\(144\) | −8.16706 | − | 5.24865i | −0.680588 | − | 0.437388i | ||||
\(145\) | −4.03293 | + | 8.83089i | −0.334917 | + | 0.733366i | ||||
\(146\) | 16.3941 | − | 18.9198i | 1.35678 | − | 1.56581i | ||||
\(147\) | 1.74137 | − | 12.1115i | 0.143626 | − | 0.998942i | ||||
\(148\) | −0.830830 | − | 1.81926i | −0.0682938 | − | 0.149543i | ||||
\(149\) | −11.4070 | − | 3.34939i | −0.934496 | − | 0.274393i | −0.221178 | − | 0.975233i | \(-0.570990\pi\) |
−0.713318 | + | 0.700841i | \(0.752808\pi\) | |||||||
\(150\) | 18.9964 | + | 5.57785i | 1.55105 | + | 0.455429i | ||||
\(151\) | −0.0980662 | − | 0.214735i | −0.00798051 | − | 0.0174749i | 0.905600 | − | 0.424133i | \(-0.139421\pi\) |
−0.913580 | + | 0.406658i | \(0.866694\pi\) | |||||||
\(152\) | −0.636451 | + | 4.42662i | −0.0516230 | + | 0.359046i | ||||
\(153\) | 6.85779 | − | 7.91431i | 0.554420 | − | 0.639834i | ||||
\(154\) | −0.634698 | + | 1.38979i | −0.0511454 | + | 0.111993i | ||||
\(155\) | −18.2621 | − | 11.7363i | −1.46685 | − | 0.942686i | ||||
\(156\) | −0.590023 | − | 4.10370i | −0.0472396 | − | 0.328559i | ||||
\(157\) | −12.9691 | + | 8.33474i | −1.03505 | + | 0.665185i | −0.943757 | − | 0.330640i | \(-0.892736\pi\) |
−0.0912904 | + | 0.995824i | \(0.529099\pi\) | |||||||
\(158\) | −7.35806 | − | 8.49165i | −0.585376 | − | 0.675560i | ||||
\(159\) | −18.1769 | + | 5.33722i | −1.44152 | + | 0.423269i | ||||
\(160\) | 10.9443 | 0.865221 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 17.7984 | 1.39837 | ||||||||
\(163\) | 9.82144 | − | 2.88383i | 0.769274 | − | 0.225879i | 0.126533 | − | 0.991962i | \(-0.459615\pi\) |
0.642741 | + | 0.766083i | \(0.277797\pi\) | |||||||
\(164\) | −2.21472 | − | 2.55592i | −0.172940 | − | 0.199584i | ||||
\(165\) | 4.65034 | − | 2.98859i | 0.362028 | − | 0.232661i | ||||
\(166\) | 3.04787 | + | 21.1984i | 0.236561 | + | 1.64532i | ||||
\(167\) | 8.80972 | + | 5.66166i | 0.681717 | + | 0.438113i | 0.835132 | − | 0.550049i | \(-0.185391\pi\) |
−0.153416 | + | 0.988162i | \(0.549027\pi\) | |||||||
\(168\) | 2.56741 | − | 5.62183i | 0.198080 | − | 0.433734i | ||||
\(169\) | 2.61944 | − | 3.02300i | 0.201496 | − | 0.232538i | ||||
\(170\) | −3.90176 | + | 27.1373i | −0.299251 | + | 2.08134i | ||||
\(171\) | 1.66166 | + | 3.63853i | 0.127070 | + | 0.278245i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −4.85094 | − | 1.42436i | −0.368810 | − | 0.108292i | 0.0920755 | − | 0.995752i | \(-0.470650\pi\) |
−0.460885 | + | 0.887460i | \(0.652468\pi\) | |||||||
\(174\) | 4.50896 | + | 9.87324i | 0.341823 | + | 0.748488i | ||||
\(175\) | −0.962608 | + | 6.69508i | −0.0727663 | + | 0.506101i | ||||
\(176\) | 2.42836 | − | 2.80247i | 0.183044 | − | 0.211244i | ||||
\(177\) | −2.29636 | + | 5.02832i | −0.172605 | + | 0.377952i | ||||
\(178\) | −2.07969 | − | 1.33654i | −0.155880 | − | 0.100178i | ||||
\(179\) | 1.80857 | + | 12.5789i | 0.135179 | + | 0.940188i | 0.938657 | + | 0.344853i | \(0.112071\pi\) |
−0.803478 | + | 0.595334i | \(0.797020\pi\) | |||||||
\(180\) | 3.36501 | − | 2.16256i | 0.250813 | − | 0.161188i | ||||
\(181\) | −9.59533 | − | 11.0736i | −0.713215 | − | 0.823094i | 0.277259 | − | 0.960795i | \(-0.410574\pi\) |
−0.990474 | + | 0.137701i | \(0.956029\pi\) | |||||||
\(182\) | 5.75696 | − | 1.69040i | 0.426734 | − | 0.125300i | ||||
\(183\) | −24.4721 | −1.80903 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −10.4721 | −0.769927 | ||||||||
\(186\) | −23.2874 | + | 6.83779i | −1.70751 | + | 0.501371i | ||||
\(187\) | 2.61944 | + | 3.02300i | 0.191553 | + | 0.221064i | ||||
\(188\) | 1.16258 | − | 0.747147i | 0.0847901 | − | 0.0544913i | ||||
\(189\) | 0.393349 | + | 2.73580i | 0.0286119 | + | 0.199000i | ||||
\(190\) | −8.80972 | − | 5.66166i | −0.639124 | − | 0.410740i | ||||
\(191\) | 1.58674 | − | 3.47449i | 0.114813 | − | 0.251405i | −0.843498 | − | 0.537132i | \(-0.819508\pi\) |
0.958311 | + | 0.285727i | \(0.0922350\pi\) | |||||||
\(192\) | −6.20293 | + | 7.15856i | −0.447658 | + | 0.516625i | ||||
\(193\) | 1.13059 | − | 7.86341i | 0.0813815 | − | 0.566021i | −0.907809 | − | 0.419384i | \(-0.862246\pi\) |
0.989190 | − | 0.146637i | \(-0.0468448\pi\) | |||||||
\(194\) | 2.88475 | + | 6.31673i | 0.207113 | + | 0.453515i | ||||
\(195\) | −20.8289 | − | 6.11591i | −1.49159 | − | 0.437969i | ||||
\(196\) | 3.24497 | + | 0.952810i | 0.231784 | + | 0.0680579i | ||||
\(197\) | 3.10404 | + | 6.79689i | 0.221154 | + | 0.484259i | 0.987391 | − | 0.158298i | \(-0.0506008\pi\) |
−0.766238 | + | 0.642557i | \(0.777874\pi\) | |||||||
\(198\) | 0.351822 | − | 2.44697i | 0.0250029 | − | 0.173899i | ||||
\(199\) | −16.8353 | + | 19.4290i | −1.19342 | + | 1.37728i | −0.285375 | + | 0.958416i | \(0.592118\pi\) |
−0.908048 | + | 0.418867i | \(0.862427\pi\) | |||||||
\(200\) | 5.08305 | − | 11.1303i | 0.359426 | − | 0.787032i | ||||
\(201\) | 13.6118 | + | 8.74775i | 0.960100 | + | 0.617019i | ||||
\(202\) | −1.02980 | − | 7.16242i | −0.0724565 | − | 0.503946i | ||||
\(203\) | −3.11954 | + | 2.00481i | −0.218949 | + | 0.140710i | ||||
\(204\) | 4.73862 | + | 5.46866i | 0.331770 | + | 0.382882i | ||||
\(205\) | −16.9909 | + | 4.98898i | −1.18670 | + | 0.348445i | ||||
\(206\) | 29.4164 | 2.04954 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −14.5623 | −1.00971 | ||||||||
\(209\) | −1.46597 | + | 0.430449i | −0.101404 | + | 0.0297748i | ||||
\(210\) | 9.47723 | + | 10.9373i | 0.653991 | + | 0.754746i | ||||
\(211\) | 2.87407 | − | 1.84705i | 0.197859 | − | 0.127156i | −0.437960 | − | 0.898994i | \(-0.644299\pi\) |
0.635819 | + | 0.771838i | \(0.280663\pi\) | |||||||
\(212\) | −0.745170 | − | 5.18277i | −0.0511785 | − | 0.355954i | ||||
\(213\) | 14.6047 | + | 9.38589i | 1.00070 | + | 0.643111i | ||||
\(214\) | −9.01791 | + | 19.7465i | −0.616452 | + | 1.34984i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 0.711574 | − | 4.94911i | 0.0484165 | − | 0.336744i | ||||
\(217\) | −3.44454 | − | 7.54248i | −0.233830 | − | 0.512017i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −33.1953 | − | 9.74703i | −2.24313 | − | 0.658643i | ||||
\(220\) | 0.634698 | + | 1.38979i | 0.0427913 | + | 0.0936999i | ||||
\(221\) | 2.23551 | − | 15.5483i | 0.150377 | − | 1.04589i | ||||
\(222\) | −7.66724 | + | 8.84847i | −0.514592 | + | 0.593870i | ||||
\(223\) | 1.66166 | − | 3.63853i | 0.111273 | − | 0.243654i | −0.845800 | − | 0.533499i | \(-0.820877\pi\) |
0.957073 | + | 0.289846i | \(0.0936039\pi\) | |||||||
\(224\) | 3.51673 | + | 2.26006i | 0.234971 | + | 0.151007i | ||||
\(225\) | −1.55753 | − | 10.8329i | −0.103835 | − | 0.722192i | ||||
\(226\) | 18.0166 | − | 11.5786i | 1.19845 | − | 0.770196i | ||||
\(227\) | 6.66670 | + | 7.69379i | 0.442485 | + | 0.510655i | 0.932555 | − | 0.361028i | \(-0.117574\pi\) |
−0.490070 | + | 0.871683i | \(0.663029\pi\) | |||||||
\(228\) | −2.65197 | + | 0.778690i | −0.175631 | + | 0.0515700i | ||||
\(229\) | 12.0000 | 0.792982 | 0.396491 | − | 0.918039i | \(-0.370228\pi\) | ||||
0.396491 | + | 0.918039i | \(0.370228\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 2.11146 | 0.138924 | ||||||||
\(232\) | 6.43647 | − | 1.88992i | 0.422575 | − | 0.124079i | ||||
\(233\) | 10.1321 | + | 11.6931i | 0.663776 | + | 0.766038i | 0.983389 | − | 0.181510i | \(-0.0580985\pi\) |
−0.319614 | + | 0.947548i | \(0.603553\pi\) | |||||||
\(234\) | −8.16706 | + | 5.24865i | −0.533897 | + | 0.343115i | ||||
\(235\) | −1.02980 | − | 7.16242i | −0.0671767 | − | 0.467224i | ||||
\(236\) | −1.28532 | − | 0.826026i | −0.0836673 | − | 0.0537697i | ||||
\(237\) | −6.45051 | + | 14.1246i | −0.419006 | + | 0.917494i | ||||
\(238\) | −6.85779 | + | 7.91431i | −0.444525 | + | 0.513009i | ||||
\(239\) | −2.59526 | + | 18.0505i | −0.167874 | + | 1.16759i | 0.715395 | + | 0.698720i | \(0.246247\pi\) |
−0.883269 | + | 0.468867i | \(0.844662\pi\) | |||||||
\(240\) | −14.5913 | − | 31.9505i | −0.941864 | − | 2.06239i | ||||
\(241\) | 16.4309 | + | 4.82456i | 1.05841 | + | 0.310777i | 0.764211 | − | 0.644967i | \(-0.223129\pi\) |
0.294200 | + | 0.955744i | \(0.404947\pi\) | |||||||
\(242\) | −16.1714 | − | 4.74835i | −1.03954 | − | 0.305235i | ||||
\(243\) | −7.43117 | − | 16.2720i | −0.476710 | − | 1.04385i | ||||
\(244\) | 0.962608 | − | 6.69508i | 0.0616247 | − | 0.428609i | ||||
\(245\) | 11.5964 | − | 13.3830i | 0.740867 | − | 0.855006i | ||||
\(246\) | −8.22454 | + | 18.0092i | −0.524378 | + | 1.14823i | ||||
\(247\) | 5.04752 | + | 3.24384i | 0.321166 | + | 0.206401i | ||||
\(248\) | 2.13472 | + | 14.8473i | 0.135555 | + | 0.942806i | ||||
\(249\) | 24.8984 | − | 16.0012i | 1.57787 | − | 1.01404i | ||||
\(250\) | 1.61890 | + | 1.86832i | 0.102389 | + | 0.118163i | ||||
\(251\) | 15.0719 | − | 4.42551i | 0.951331 | − | 0.279336i | 0.230990 | − | 0.972956i | \(-0.425804\pi\) |
0.720341 | + | 0.693620i | \(0.243985\pi\) | |||||||
\(252\) | 1.52786 | 0.0962464 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 33.5066 | 2.10239 | ||||||||
\(255\) | 36.3538 | − | 10.6744i | 2.27656 | − | 0.668459i | ||||
\(256\) | −8.88142 | − | 10.2497i | −0.555089 | − | 0.640607i | ||||
\(257\) | 1.23844 | − | 0.795897i | 0.0772517 | − | 0.0496467i | −0.501445 | − | 0.865190i | \(-0.667198\pi\) |
0.578697 | + | 0.815543i | \(0.303562\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −3.36501 | − | 2.16256i | −0.209092 | − | 0.134375i | ||||
\(260\) | 2.49249 | − | 5.45779i | 0.154578 | − | 0.338478i | ||||
\(261\) | 3.92916 | − | 4.53450i | 0.243209 | − | 0.280678i | ||||
\(262\) | 1.21854 | − | 8.47515i | 0.0752818 | − | 0.523597i | ||||
\(263\) | 6.20807 | + | 13.5938i | 0.382806 | + | 0.838229i | 0.998728 | + | 0.0504215i | \(0.0160565\pi\) |
−0.615922 | + | 0.787807i | \(0.711216\pi\) | |||||||
\(264\) | −3.66494 | − | 1.07612i | −0.225561 | − | 0.0662308i | ||||
\(265\) | −26.3059 | − | 7.72409i | −1.61596 | − | 0.474487i | ||||
\(266\) | −1.66166 | − | 3.63853i | −0.101883 | − | 0.223092i | ||||
\(267\) | −0.486206 | + | 3.38163i | −0.0297553 | + | 0.206953i | ||||
\(268\) | −2.92863 | + | 3.37981i | −0.178894 | + | 0.206455i | ||||
\(269\) | 4.13100 | − | 9.04563i | 0.251872 | − | 0.551522i | −0.740890 | − | 0.671627i | \(-0.765596\pi\) |
0.992761 | + | 0.120105i | \(0.0383231\pi\) | |||||||
\(270\) | 9.84957 | + | 6.32993i | 0.599426 | + | 0.385227i | ||||
\(271\) | −1.13852 | − | 7.91857i | −0.0691601 | − | 0.481019i | −0.994737 | − | 0.102460i | \(-0.967329\pi\) |
0.925577 | − | 0.378559i | \(-0.123580\pi\) | |||||||
\(272\) | 21.3816 | − | 13.7411i | 1.29645 | − | 0.833179i | ||||
\(273\) | −5.42997 | − | 6.26652i | −0.328637 | − | 0.379267i | ||||
\(274\) | −21.5619 | + | 6.33113i | −1.30260 | + | 0.382478i | ||||
\(275\) | 4.18034 | 0.252084 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 6.52786 | 0.392221 | 0.196111 | − | 0.980582i | \(-0.437169\pi\) | ||||
0.196111 | + | 0.980582i | \(0.437169\pi\) | |||||||
\(278\) | 4.20447 | − | 1.23454i | 0.252167 | − | 0.0740429i | ||||
\(279\) | 8.78588 | + | 10.1394i | 0.525997 | + | 0.607033i | ||||
\(280\) | 7.52440 | − | 4.83564i | 0.449669 | − | 0.288985i | ||||
\(281\) | −1.88369 | − | 13.1013i | −0.112371 | − | 0.781561i | −0.965602 | − | 0.260026i | \(-0.916269\pi\) |
0.853230 | − | 0.521535i | \(-0.174640\pi\) | |||||||
\(282\) | −6.80588 | − | 4.37388i | −0.405284 | − | 0.260461i | ||||
\(283\) | −5.93703 | + | 13.0003i | −0.352920 | + | 0.772786i | 0.647027 | + | 0.762467i | \(0.276012\pi\) |
−0.999947 | + | 0.0103192i | \(0.996715\pi\) | |||||||
\(284\) | −3.14227 | + | 3.62637i | −0.186459 | + | 0.215185i | ||||
\(285\) | −2.05960 | + | 14.3248i | −0.122000 | + | 0.848530i | ||||
\(286\) | −1.54044 | − | 3.37310i | −0.0910883 | − | 0.199456i | ||||
\(287\) | −6.48995 | − | 1.90562i | −0.383089 | − | 0.112485i | ||||
\(288\) | −6.48995 | − | 1.90562i | −0.382424 | − | 0.112290i | ||||
\(289\) | 4.32713 | + | 9.47510i | 0.254537 | + | 0.557359i | ||||
\(290\) | −2.23551 | + | 15.5483i | −0.131274 | + | 0.913029i | ||||
\(291\) | 6.28453 | − | 7.25274i | 0.368406 | − | 0.425163i | ||||
\(292\) | 3.97233 | − | 8.69818i | 0.232463 | − | 0.509022i | ||||
\(293\) | 8.80972 | + | 5.66166i | 0.514669 | + | 0.330758i | 0.772060 | − | 0.635549i | \(-0.219226\pi\) |
−0.257391 | + | 0.966307i | \(0.582863\pi\) | |||||||
\(294\) | −2.81760 | − | 19.5969i | −0.164326 | − | 1.14291i | ||||
\(295\) | −6.73003 | + | 4.32513i | −0.391837 | + | 0.251819i | ||||
\(296\) | 4.73862 | + | 5.46866i | 0.275427 | + | 0.317859i | ||||
\(297\) | 1.63901 | − | 0.481257i | 0.0951050 | − | 0.0279253i | ||||
\(298\) | −19.2361 | −1.11432 | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 7.56231 | 0.436610 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −0.250135 | − | 0.288671i | −0.0143936 | − | 0.0166111i | ||||
\(303\) | −8.41254 | + | 5.40641i | −0.483288 | + | 0.310590i | ||||
\(304\) | 1.38162 | + | 9.60939i | 0.0792414 | + | 0.551136i | ||||
\(305\) | −29.7942 | − | 19.1476i | −1.70601 | − | 1.09639i | ||||
\(306\) | 7.03890 | − | 15.4131i | 0.402387 | − | 0.881106i | ||||
\(307\) | −12.0967 | + | 13.9603i | −0.690394 | + | 0.796757i | −0.987421 | − | 0.158112i | \(-0.949459\pi\) |
0.297027 | + | 0.954869i | \(0.404005\pi\) | |||||||
\(308\) | −0.0830538 | + | 0.577652i | −0.00473243 | + | 0.0329148i | ||||
\(309\) | −16.8876 | − | 36.9788i | −0.960705 | − | 2.10365i | ||||
\(310\) | −33.7018 | − | 9.89575i | −1.91413 | − | 0.562041i | ||||
\(311\) | 8.80847 | + | 2.58640i | 0.499483 | + | 0.146661i | 0.521763 | − | 0.853090i | \(-0.325275\pi\) |
−0.0222805 | + | 0.999752i | \(0.507093\pi\) | |||||||
\(312\) | 6.23123 | + | 13.6445i | 0.352774 | + | 0.772467i | ||||
\(313\) | −2.89763 | + | 20.1534i | −0.163784 | + | 1.13914i | 0.727637 | + | 0.685962i | \(0.240619\pi\) |
−0.891420 | + | 0.453177i | \(0.850290\pi\) | |||||||
\(314\) | −16.3350 | + | 18.8516i | −0.921839 | + | 1.06386i | ||||
\(315\) | 3.32332 | − | 7.27706i | 0.187248 | − | 0.410016i | ||||
\(316\) | −3.61049 | − | 2.32032i | −0.203106 | − | 0.130528i | ||||
\(317\) | 0.201576 | + | 1.40199i | 0.0113216 | + | 0.0787437i | 0.994699 | − | 0.102830i | \(-0.0327899\pi\) |
−0.983377 | + | 0.181574i | \(0.941881\pi\) | |||||||
\(318\) | −25.7865 | + | 16.5720i | −1.44604 | + | 0.929310i | ||||
\(319\) | 1.50081 | + | 1.73202i | 0.0840291 | + | 0.0969747i | ||||
\(320\) | −13.1529 | + | 3.86205i | −0.735271 | + | 0.215895i | ||||
\(321\) | 30.0000 | 1.67444 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −10.4721 | −0.582685 | ||||||||
\(324\) | 6.52299 | − | 1.91532i | 0.362388 | − | 0.106407i | ||||
\(325\) | −10.7505 | − | 12.4067i | −0.596328 | − | 0.688200i | ||||
\(326\) | 13.9331 | − | 8.95426i | 0.771683 | − | 0.495931i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 10.2936 | + | 6.61532i | 0.568371 | + | 0.365270i | ||||
\(329\) | 1.14818 | − | 2.51416i | 0.0633011 | − | 0.138610i | ||||
\(330\) | 5.85725 | − | 6.75963i | 0.322431 | − | 0.372105i | ||||
\(331\) | −1.65832 | + | 11.5339i | −0.0911495 | + | 0.633959i | 0.892120 | + | 0.451800i | \(0.149218\pi\) |
−0.983269 | + | 0.182159i | \(0.941691\pi\) | |||||||
\(332\) | 3.39824 | + | 7.44110i | 0.186502 | + | 0.408383i | ||||
\(333\) | 6.20997 | + | 1.82341i | 0.340304 | + | 0.0999223i | ||||
\(334\) | 16.2579 | + | 4.77375i | 0.889593 | + | 0.261208i | ||||
\(335\) | 9.72753 | + | 21.3003i | 0.531472 | + | 1.16376i | ||||
\(336\) | 1.90935 | − | 13.2798i | 0.104164 | − | 0.724475i | ||||
\(337\) | −2.23727 | + | 2.58195i | −0.121872 | + | 0.140648i | −0.813407 | − | 0.581696i | \(-0.802389\pi\) |
0.691535 | + | 0.722343i | \(0.256935\pi\) | |||||||
\(338\) | 2.68862 | − | 5.88726i | 0.146242 | − | 0.320225i | ||||
\(339\) | −24.8984 | − | 16.0012i | −1.35229 | − | 0.869066i | ||||
\(340\) | 1.49034 | + | 10.3655i | 0.0808251 | + | 0.562151i | ||||
\(341\) | −4.31110 | + | 2.77057i | −0.233459 | + | 0.150035i | ||||
\(342\) | 4.23835 | + | 4.89131i | 0.229184 | + | 0.264492i | ||||
\(343\) | 14.7919 | − | 4.34330i | 0.798689 | − | 0.234516i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −8.18034 | −0.439778 | ||||||||
\(347\) | −24.8399 | + | 7.29365i | −1.33347 | + | 0.391543i | −0.869337 | − | 0.494220i | \(-0.835454\pi\) |
−0.464137 | + | 0.885763i | \(0.653636\pi\) | |||||||
\(348\) | 2.71499 | + | 3.13326i | 0.145539 | + | 0.167960i | ||||
\(349\) | −2.03281 | + | 1.30641i | −0.108814 | + | 0.0699305i | −0.593916 | − | 0.804527i | \(-0.702419\pi\) |
0.485102 | + | 0.874458i | \(0.338782\pi\) | |||||||
\(350\) | 1.55753 | + | 10.8329i | 0.0832536 | + | 0.579042i | ||||
\(351\) | −5.64330 | − | 3.62673i | −0.301217 | − | 0.193580i | ||||
\(352\) | 1.07326 | − | 2.35012i | 0.0572051 | − | 0.125262i | ||||
\(353\) | 23.1563 | − | 26.7238i | 1.23249 | − | 1.42237i | 0.360555 | − | 0.932738i | \(-0.382587\pi\) |
0.871932 | − | 0.489627i | \(-0.162867\pi\) | |||||||
\(354\) | −1.27290 | + | 8.85323i | −0.0676540 | + | 0.470544i | ||||
\(355\) | 10.4371 | + | 22.8542i | 0.553946 | + | 1.21297i | ||||
\(356\) | −0.906022 | − | 0.266032i | −0.0480191 | − | 0.0140997i | ||||
\(357\) | 13.8859 | + | 4.07727i | 0.734920 | + | 0.215792i | ||||
\(358\) | 8.54189 | + | 18.7041i | 0.451453 | + | 0.988544i | ||||
\(359\) | 2.26118 | − | 15.7268i | 0.119340 | − | 0.830030i | −0.838945 | − | 0.544216i | \(-0.816827\pi\) |
0.958285 | − | 0.285814i | \(-0.0922638\pi\) | |||||||
\(360\) | −9.47723 | + | 10.9373i | −0.499494 | + | 0.576447i | ||||
\(361\) | −6.23123 | + | 13.6445i | −0.327959 | + | 0.718131i | ||||
\(362\) | −19.9446 | − | 12.8176i | −1.04827 | − | 0.673679i | ||||
\(363\) | 3.31477 | + | 23.0547i | 0.173980 | + | 1.21006i | ||||
\(364\) | 1.92798 | − | 1.23904i | 0.101054 | − | 0.0649433i | ||||
\(365\) | −32.7881 | − | 37.8395i | −1.71621 | − | 1.98061i | ||||
\(366\) | −37.9928 | + | 11.1557i | −1.98592 | + | 0.583117i | ||||
\(367\) | −18.1803 | −0.949006 | −0.474503 | − | 0.880254i | \(-0.657372\pi\) | ||||
−0.474503 | + | 0.880254i | \(0.657372\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 10.9443 | 0.569736 | ||||||||
\(370\) | −16.2579 | + | 4.77375i | −0.845208 | + | 0.248176i | ||||
\(371\) | −6.85779 | − | 7.91431i | −0.356039 | − | 0.410891i | ||||
\(372\) | −7.79885 | + | 5.01202i | −0.404351 | + | 0.259861i | ||||
\(373\) | −0.812362 | − | 5.65010i | −0.0420625 | − | 0.292551i | −0.999985 | − | 0.00552335i | \(-0.998242\pi\) |
0.957922 | − | 0.287028i | \(-0.0926672\pi\) | |||||||
\(374\) | 5.44471 | + | 3.49910i | 0.281539 | + | 0.180934i | ||||
\(375\) | 1.41923 | − | 3.10767i | 0.0732886 | − | 0.160480i | ||||
\(376\) | −3.27430 | + | 3.77875i | −0.168859 | + | 0.194874i | ||||
\(377\) | 1.28083 | − | 8.90839i | 0.0659663 | − | 0.458806i | ||||
\(378\) | 1.85779 | + | 4.06800i | 0.0955545 | + | 0.209235i | ||||
\(379\) | −19.5359 | − | 5.73627i | −1.00349 | − | 0.294652i | −0.261604 | − | 0.965175i | \(-0.584252\pi\) |
−0.741889 | + | 0.670523i | \(0.766070\pi\) | |||||||
\(380\) | −3.83797 | − | 1.12693i | −0.196884 | − | 0.0578103i | ||||
\(381\) | −19.2358 | − | 42.1205i | −0.985478 | − | 2.15790i | ||||
\(382\) | 0.879554 | − | 6.11743i | 0.0450019 | − | 0.312995i | ||||
\(383\) | 16.3350 | − | 18.8516i | 0.834681 | − | 0.963273i | −0.165054 | − | 0.986284i | \(-0.552780\pi\) |
0.999735 | + | 0.0230115i | \(0.00732544\pi\) | |||||||
\(384\) | −12.6497 | + | 27.6991i | −0.645529 | + | 1.41351i | ||||
\(385\) | 2.57064 | + | 1.65205i | 0.131012 | + | 0.0841963i | ||||
\(386\) | −1.82933 | − | 12.7233i | −0.0931104 | − | 0.647597i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 1.73700 | + | 2.00461i | 0.0881829 | + | 0.101769i | ||||
\(389\) | 33.0758 | − | 9.71192i | 1.67701 | − | 0.492414i | 0.701554 | − | 0.712616i | \(-0.252490\pi\) |
0.975454 | + | 0.220202i | \(0.0706717\pi\) | |||||||
\(390\) | −35.1246 | −1.77860 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | −12.2361 | −0.618015 | ||||||||
\(393\) | −11.3535 | + | 3.33369i | −0.572708 | + | 0.168162i | ||||
\(394\) | 7.91738 | + | 9.13714i | 0.398872 | + | 0.460323i | ||||
\(395\) | −18.9048 | + | 12.1494i | −0.951202 | + | 0.611300i | ||||
\(396\) | −0.134384 | − | 0.934661i | −0.00675305 | − | 0.0469685i | ||||
\(397\) | 2.03281 | + | 1.30641i | 0.102024 | + | 0.0655668i | 0.590658 | − | 0.806922i | \(-0.298868\pi\) |
−0.488634 | + | 0.872489i | \(0.662505\pi\) | |||||||
\(398\) | −17.2799 | + | 37.8377i | −0.866164 | + | 1.89663i | ||||
\(399\) | −3.61998 | + | 4.17768i | −0.181226 | + | 0.209146i | ||||
\(400\) | 3.78021 | − | 26.2919i | 0.189011 | − | 1.31460i | ||||
\(401\) | −3.39824 | − | 7.44110i | −0.169700 | − | 0.371591i | 0.805605 | − | 0.592453i | \(-0.201840\pi\) |
−0.975305 | + | 0.220862i | \(0.929113\pi\) | |||||||
\(402\) | 25.1199 | + | 7.37585i | 1.25286 | + | 0.367874i | ||||
\(403\) | 19.3094 | + | 5.66976i | 0.961871 | + | 0.282431i | ||||
\(404\) | −1.14818 | − | 2.51416i | −0.0571240 | − | 0.125084i | ||||
\(405\) | 5.06595 | − | 35.2344i | 0.251729 | − | 1.75081i | ||||
\(406\) | −3.92916 | + | 4.53450i | −0.195001 | + | 0.225043i | ||||
\(407\) | −1.02696 | + | 2.24873i | −0.0509046 | + | 0.111466i | ||||
\(408\) | −22.0243 | − | 14.1542i | −1.09037 | − | 0.700735i | ||||
\(409\) | 3.32457 | + | 23.1229i | 0.164389 | + | 1.14335i | 0.890237 | + | 0.455498i | \(0.150539\pi\) |
−0.725847 | + | 0.687856i | \(0.758552\pi\) | |||||||
\(410\) | −24.1040 | + | 15.4907i | −1.19041 | + | 0.765031i | ||||
\(411\) | 20.3372 | + | 23.4704i | 1.00316 | + | 1.15771i | ||||
\(412\) | 10.7809 | − | 3.16557i | 0.531138 | − | 0.155956i | ||||
\(413\) | −3.05573 | −0.150363 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 42.8328 | 2.10258 | ||||||||
\(416\) | −9.73492 | + | 2.85843i | −0.477294 | + | 0.140146i | ||||
\(417\) | −3.96566 | − | 4.57661i | −0.194199 | − | 0.224118i | ||||
\(418\) | −2.07969 | + | 1.33654i | −0.101721 | + | 0.0653722i | ||||
\(419\) | −4.47102 | − | 31.0966i | −0.218424 | − | 1.51917i | −0.743859 | − | 0.668336i | \(-0.767007\pi\) |
0.525435 | − | 0.850833i | \(-0.323902\pi\) | |||||||
\(420\) | 4.65034 | + | 2.98859i | 0.226913 | + | 0.145828i | ||||
\(421\) | 9.84874 | − | 21.5657i | 0.479998 | − | 1.05105i | −0.502466 | − | 0.864597i | \(-0.667574\pi\) |
0.982464 | − | 0.186453i | \(-0.0596991\pi\) | |||||||
\(422\) | 3.61998 | − | 4.17768i | 0.176218 | − | 0.203366i | ||||
\(423\) | −0.636451 | + | 4.42662i | −0.0309453 | + | 0.215229i | ||||
\(424\) | 7.86973 | + | 17.2323i | 0.382188 | + | 0.836875i | ||||
\(425\) | 27.4918 | + | 8.07234i | 1.33355 | + | 0.391566i | ||||
\(426\) | 26.9523 | + | 7.91392i | 1.30584 | + | 0.383430i | ||||
\(427\) | −5.61968 | − | 12.3054i | −0.271955 | − | 0.595499i | ||||
\(428\) | −1.18005 | + | 8.20740i | −0.0570397 | + | 0.396720i | ||||
\(429\) | −3.35591 | + | 3.87292i | −0.162025 | + | 0.186986i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 22.2698 | + | 14.3119i | 1.07270 | + | 0.689381i | 0.952859 | − | 0.303413i | \(-0.0981261\pi\) |
0.119838 | + | 0.992793i | \(0.461762\pi\) | |||||||
\(432\) | −1.54470 | − | 10.7436i | −0.0743194 | − | 0.516903i | ||||
\(433\) | −33.8019 | + | 21.7231i | −1.62441 | + | 1.04395i | −0.671366 | + | 0.741126i | \(0.734292\pi\) |
−0.953047 | + | 0.302821i | \(0.902072\pi\) | |||||||
\(434\) | −8.78588 | − | 10.1394i | −0.421736 | − | 0.486709i | ||||
\(435\) | 20.8289 | − | 6.11591i | 0.998668 | − | 0.293235i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | −55.9787 | −2.67477 | ||||||||
\(439\) | 5.07744 | − | 1.49087i | 0.242333 | − | 0.0711554i | −0.158311 | − | 0.987389i | \(-0.550605\pi\) |
0.400644 | + | 0.916234i | \(0.368787\pi\) | |||||||
\(440\) | −3.61998 | − | 4.17768i | −0.172576 | − | 0.199163i | ||||
\(441\) | −9.20691 | + | 5.91692i | −0.438424 | + | 0.281758i | ||||
\(442\) | −3.61713 | − | 25.1577i | −0.172049 | − | 1.19663i | ||||
\(443\) | −1.78734 | − | 1.14865i | −0.0849190 | − | 0.0545741i | 0.497492 | − | 0.867468i | \(-0.334254\pi\) |
−0.582411 | + | 0.812894i | \(0.697891\pi\) | |||||||
\(444\) | −1.85779 | + | 4.06800i | −0.0881669 | + | 0.193059i | ||||
\(445\) | −3.23781 | + | 3.73663i | −0.153487 | + | 0.177133i | ||||
\(446\) | 0.921081 | − | 6.40626i | 0.0436144 | − | 0.303345i | ||||
\(447\) | 11.0432 | + | 24.1813i | 0.522327 | + | 1.14374i | ||||
\(448\) | −5.02397 | − | 1.47517i | −0.237360 | − | 0.0696953i | ||||
\(449\) | −2.82501 | − | 0.829497i | −0.133320 | − | 0.0391464i | 0.214392 | − | 0.976748i | \(-0.431223\pi\) |
−0.347712 | + | 0.937601i | \(0.613041\pi\) | |||||||
\(450\) | −7.35625 | − | 16.1079i | −0.346777 | − | 0.759336i | ||||
\(451\) | −0.594924 | + | 4.13779i | −0.0280139 | + | 0.194841i | ||||
\(452\) | 5.35698 | − | 6.18229i | 0.251971 | − | 0.290790i | ||||
\(453\) | −0.219283 | + | 0.480162i | −0.0103028 | + | 0.0225600i | ||||
\(454\) | 13.8572 | + | 8.90551i | 0.650353 | + | 0.417956i | ||||
\(455\) | −1.70778 | − | 11.8779i | −0.0800619 | − | 0.556843i | ||||
\(456\) | 8.41254 | − | 5.40641i | 0.393953 | − | 0.253178i | ||||
\(457\) | 23.0017 | + | 26.5454i | 1.07598 | + | 1.24174i | 0.968890 | + | 0.247492i | \(0.0796064\pi\) |
0.107086 | + | 0.994250i | \(0.465848\pi\) | |||||||
\(458\) | 18.6299 | − | 5.47023i | 0.870518 | − | 0.255607i | ||||
\(459\) | 11.7082 | 0.546492 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 7.47214 | 0.348012 | 0.174006 | − | 0.984745i | \(-0.444329\pi\) | ||||
0.174006 | + | 0.984745i | \(0.444329\pi\) | |||||||
\(462\) | 3.27802 | − | 0.962513i | 0.152507 | − | 0.0447802i | ||||
\(463\) | 13.0972 | + | 15.1150i | 0.608679 | + | 0.702453i | 0.973516 | − | 0.228618i | \(-0.0734207\pi\) |
−0.364837 | + | 0.931071i | \(0.618875\pi\) | |||||||
\(464\) | 12.2506 | − | 7.87298i | 0.568719 | − | 0.365494i | ||||
\(465\) | 6.90811 | + | 48.0469i | 0.320356 | + | 2.22812i | ||||
\(466\) | 21.0603 | + | 13.5346i | 0.975600 | + | 0.626980i | ||||
\(467\) | 12.8547 | − | 28.1479i | 0.594845 | − | 1.30253i | −0.337624 | − | 0.941281i | \(-0.609623\pi\) |
0.932470 | − | 0.361249i | \(-0.117649\pi\) | |||||||
\(468\) | −2.42836 | + | 2.80247i | −0.112251 | + | 0.129544i | ||||
\(469\) | −1.27290 | + | 8.85323i | −0.0587772 | + | 0.408804i | ||||
\(470\) | −4.86376 | − | 10.6502i | −0.224349 | − | 0.491255i | ||||
\(471\) | 33.0758 | + | 9.71192i | 1.52405 | + | 0.447502i | ||||
\(472\) | 5.30395 | + | 1.55738i | 0.244134 | + | 0.0716842i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −3.57561 | + | 24.8689i | −0.164233 | + | 1.14227i | ||||
\(475\) | −7.16697 | + | 8.27113i | −0.328843 | + | 0.379505i | ||||
\(476\) | −1.66166 | + | 3.63853i | −0.0761621 | + | 0.166772i | ||||
\(477\) | 14.2544 | + | 9.16077i | 0.652665 | + | 0.419443i | ||||
\(478\) | 4.19922 | + | 29.2062i | 0.192068 | + | 1.33586i | ||||
\(479\) | 14.8033 | − | 9.51352i | 0.676381 | − | 0.434684i | −0.156840 | − | 0.987624i | \(-0.550131\pi\) |
0.833221 | + | 0.552940i | \(0.186494\pi\) | |||||||
\(480\) | −16.0258 | − | 18.4948i | −0.731476 | − | 0.844169i | ||||
\(481\) | 9.31495 | − | 2.73512i | 0.424725 | − | 0.124711i | ||||
\(482\) | 27.7082 | 1.26207 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −6.43769 | −0.292622 | ||||||||
\(485\) | 13.3260 | − | 3.91285i | 0.605101 | − | 0.177674i | ||||
\(486\) | −18.9545 | − | 21.8746i | −0.859792 | − | 0.992253i | ||||
\(487\) | −1.08673 | + | 0.698398i | −0.0492443 | + | 0.0316474i | −0.565031 | − | 0.825069i | \(-0.691136\pi\) |
0.515787 | + | 0.856717i | \(0.327500\pi\) | |||||||
\(488\) | 3.48275 | + | 24.2230i | 0.157657 | + | 1.09653i | ||||
\(489\) | −19.2551 | − | 12.3745i | −0.870744 | − | 0.559593i | ||||
\(490\) | 11.9027 | − | 26.0632i | 0.537708 | − | 1.17742i | ||||
\(491\) | −25.9668 | + | 29.9673i | −1.17187 | + | 1.35241i | −0.248434 | + | 0.968649i | \(0.579916\pi\) |
−0.923434 | + | 0.383758i | \(0.874630\pi\) | |||||||
\(492\) | −1.07623 | + | 7.48533i | −0.0485201 | + | 0.337465i | ||||
\(493\) | 6.52542 | + | 14.2887i | 0.293890 | + | 0.643530i | ||||
\(494\) | 9.31495 | + | 2.73512i | 0.419100 | + | 0.123059i | ||||
\(495\) | −4.74399 | − | 1.39296i | −0.213227 | − | 0.0626090i | ||||
\(496\) | 13.5269 | + | 29.6197i | 0.607374 | + | 1.32996i | ||||
\(497\) | −1.36576 | + | 9.49907i | −0.0612627 | + | 0.426091i | ||||
\(498\) | 31.3603 | − | 36.1917i | 1.40529 | − | 1.62179i | ||||
\(499\) | 13.5875 | − | 29.7524i | 0.608259 | − | 1.33190i | −0.315499 | − | 0.948926i | \(-0.602172\pi\) |
0.923758 | − | 0.382976i | \(-0.125101\pi\) | |||||||
\(500\) | 0.794372 | + | 0.510512i | 0.0355254 | + | 0.0228308i | ||||
\(501\) | −3.33250 | − | 23.1781i | −0.148885 | − | 1.03552i | ||||
\(502\) | 21.3816 | − | 13.7411i | 0.954309 | − | 0.613297i | ||||
\(503\) | −5.93024 | − | 6.84386i | −0.264416 | − | 0.305153i | 0.607980 | − | 0.793953i | \(-0.291980\pi\) |
−0.872396 | + | 0.488800i | \(0.837435\pi\) | |||||||
\(504\) | −5.30395 | + | 1.55738i | −0.236257 | + | 0.0693712i | ||||
\(505\) | −14.4721 | −0.644002 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −8.94427 | −0.397229 | ||||||||
\(508\) | 12.2799 | − | 3.60572i | 0.544835 | − | 0.159978i | ||||
\(509\) | −22.4650 | − | 25.9260i | −0.995742 | − | 1.14915i | −0.988811 | − | 0.149172i | \(-0.952339\pi\) |
−0.00693079 | − | 0.999976i | \(-0.502206\pi\) | |||||||
\(510\) | 51.5730 | − | 33.1440i | 2.28369 | − | 1.46764i | ||||
\(511\) | −2.72172 | − | 18.9300i | −0.120402 | − | 0.837412i | ||||
\(512\) | 4.45174 | + | 2.86096i | 0.196741 | + | 0.126438i | ||||
\(513\) | −1.85779 | + | 4.06800i | −0.0820235 | + | 0.179606i | ||||
\(514\) | 1.55986 | − | 1.80017i | 0.0688023 | − | 0.0794021i | ||||
\(515\) | 8.37278 | − | 58.2340i | 0.368949 | − | 2.56610i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.63901 | − | 0.481257i | −0.0720836 | − | 0.0211656i | ||||
\(518\) | −6.20997 | − | 1.82341i | −0.272850 | − | 0.0801161i | ||||
\(519\) | 4.69625 | + | 10.2833i | 0.206142 | + | 0.451389i | ||||
\(520\) | −3.08940 | + | 21.4872i | −0.135479 | + | 0.942278i | ||||
\(521\) | 3.00161 | − | 3.46405i | 0.131503 | − | 0.151763i | −0.686179 | − | 0.727433i | \(-0.740713\pi\) |
0.817682 | + | 0.575670i | \(0.195259\pi\) | |||||||
\(522\) | 4.03293 | − | 8.83089i | 0.176517 | − | 0.386518i | ||||
\(523\) | −0.736423 | − | 0.473271i | −0.0322015 | − | 0.0206947i | 0.524441 | − | 0.851447i | \(-0.324274\pi\) |
−0.556643 | + | 0.830752i | \(0.687911\pi\) | |||||||
\(524\) | −0.465442 | − | 3.23722i | −0.0203329 | − | 0.141419i | ||||
\(525\) | 12.7236 | − | 8.17698i | 0.555305 | − | 0.356873i | ||||
\(526\) | 15.8348 | + | 18.2743i | 0.690428 | + | 0.796797i | ||||
\(527\) | −33.7018 | + | 9.89575i | −1.46807 | + | 0.431065i | ||||
\(528\) | −8.29180 | −0.360854 | ||||||||
\(529\) | 0 | 0 | ||||||||
\(530\) | −44.3607 | −1.92690 | ||||||||
\(531\) | 4.74399 | − | 1.39296i | 0.205872 | − | 0.0604494i | ||||
\(532\) | −1.00054 | − | 1.15468i | −0.0433788 | − | 0.0500618i | ||||
\(533\) | 13.8104 | − | 8.87538i | 0.598193 | − | 0.384435i | ||||
\(534\) | 0.786697 | + | 5.47160i | 0.0340437 | + | 0.236779i | ||||
\(535\) | 36.5242 | + | 23.4727i | 1.57908 | + | 1.01481i | ||||
\(536\) | 6.72156 | − | 14.7182i | 0.290327 | − | 0.635727i | ||||
\(537\) | 18.6088 | − | 21.4757i | 0.803029 | − | 0.926744i | ||||
\(538\) | 2.28987 | − | 15.9264i | 0.0987233 | − | 0.686636i | ||||
\(539\) | −1.73658 | − | 3.80257i | −0.0747996 | − | 0.163788i | ||||
\(540\) | 4.29098 | + | 1.25995i | 0.184655 | + | 0.0542195i | ||||
\(541\) | 7.27640 | + | 2.13654i | 0.312837 | + | 0.0918572i | 0.434382 | − | 0.900729i | \(-0.356967\pi\) |
−0.121545 | + | 0.992586i | \(0.538785\pi\) | |||||||
\(542\) | −5.37724 | − | 11.7745i | −0.230972 | − | 0.505759i | ||||
\(543\) | −4.66279 | + | 32.4304i | −0.200100 | + | 1.39172i | ||||
\(544\) | 11.5964 | − | 13.3830i | 0.497192 | − | 0.573790i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −11.2866 | − | 7.25346i | −0.483022 | − | 0.310419i | ||||
\(547\) | −5.34264 | − | 37.1589i | −0.228435 | − | 1.58880i | −0.704705 | − | 0.709501i | \(-0.748920\pi\) |
0.476270 | − | 0.879299i | \(-0.341989\pi\) | |||||||
\(548\) | −7.22098 | + | 4.64064i | −0.308465 | + | 0.198238i | ||||
\(549\) | 14.3339 | + | 16.5423i | 0.611758 | + | 0.706006i | ||||
\(550\) | 6.48995 | − | 1.90562i | 0.276732 | − | 0.0812559i | ||||
\(551\) | −6.00000 | −0.255609 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −8.58359 | −0.365011 | ||||||||
\(554\) | 10.1345 | − | 2.97575i | 0.430572 | − | 0.126427i | ||||
\(555\) | 15.3345 | + | 17.6969i | 0.650913 | + | 0.751193i | ||||
\(556\) | 1.40806 | − | 0.904904i | 0.0597150 | − | 0.0383765i | ||||
\(557\) | 2.76324 | + | 19.2188i | 0.117082 | + | 0.814326i | 0.960741 | + | 0.277446i | \(0.0894880\pi\) |
−0.843659 | + | 0.536880i | \(0.819603\pi\) | |||||||
\(558\) | 18.2621 | + | 11.7363i | 0.773096 | + | 0.496839i | ||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 12.7150 | − | 14.6739i | 0.537309 | − | 0.620087i | ||||
\(561\) | 1.27290 | − | 8.85323i | 0.0537420 | − | 0.373784i | ||||
\(562\) | −8.89670 | − | 19.4810i | −0.375285 | − | 0.821758i | ||||
\(563\) | −14.4459 | − | 4.24169i | −0.608821 | − | 0.178766i | −0.0372326 | − | 0.999307i | \(-0.511854\pi\) |
−0.571588 | + | 0.820541i | \(0.693672\pi\) | |||||||
\(564\) | −2.96500 | − | 0.870601i | −0.124849 | − | 0.0366589i | ||||
\(565\) | −17.7934 | − | 38.9621i | −0.748574 | − | 1.63915i | ||||
\(566\) | −3.29098 | + | 22.8892i | −0.138330 | + | 0.962106i | ||||
\(567\) | 8.90398 | − | 10.2757i | 0.373932 | − | 0.431540i | ||||
\(568\) | 7.21189 | − | 15.7918i | 0.302604 | − | 0.662610i | ||||
\(569\) | −0.151712 | − | 0.0974991i | −0.00636008 | − | 0.00408738i | 0.537457 | − | 0.843291i | \(-0.319385\pi\) |
−0.543817 | + | 0.839204i | \(0.683021\pi\) | |||||||
\(570\) | 3.33250 | + | 23.1781i | 0.139583 | + | 0.970822i | ||||
\(571\) | 23.3096 | − | 14.9802i | 0.975477 | − | 0.626901i | 0.0472376 | − | 0.998884i | \(-0.484958\pi\) |
0.928240 | + | 0.371982i | \(0.121322\pi\) | |||||||
\(572\) | −0.927550 | − | 1.07045i | −0.0387828 | − | 0.0447577i | ||||
\(573\) | −8.19505 | + | 2.40628i | −0.342353 | + | 0.100524i | ||||
\(574\) | −10.9443 | −0.456805 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 8.47214 | 0.353006 | ||||||||
\(577\) | 12.3665 | − | 3.63112i | 0.514823 | − | 0.151166i | −0.0139932 | − | 0.999902i | \(-0.504454\pi\) |
0.528816 | + | 0.848736i | \(0.322636\pi\) | |||||||
\(578\) | 11.0371 | + | 12.7375i | 0.459082 | + | 0.529809i | ||||
\(579\) | −14.9440 | + | 9.60391i | −0.621050 | + | 0.399125i | ||||
\(580\) | 0.853889 | + | 5.93893i | 0.0354558 | + | 0.246601i | ||||
\(581\) | 13.7635 | + | 8.84525i | 0.571005 | + | 0.366963i | ||||
\(582\) | 6.45051 | − | 14.1246i | 0.267382 | − | 0.585485i | ||||
\(583\) | −4.23835 | + | 4.89131i | −0.175534 | + | 0.202578i | ||||
\(584\) | −4.92363 | + | 34.2446i | −0.203741 | + | 1.41705i | ||||
\(585\) | 8.06587 | + | 17.6618i | 0.333483 | + | 0.730225i | ||||
\(586\) | 16.2579 | + | 4.77375i | 0.671608 | + | 0.197202i | ||||
\(587\) | 10.8344 | + | 3.18127i | 0.447184 | + | 0.131305i | 0.497568 | − | 0.867425i | \(-0.334226\pi\) |
−0.0503845 | + | 0.998730i | \(0.516045\pi\) | |||||||
\(588\) | −3.14150 | − | 6.87892i | −0.129553 | − | 0.283682i | ||||
\(589\) | 1.90935 | − | 13.2798i | 0.0786736 | − | 0.547187i | ||||
\(590\) | −8.47670 | + | 9.78263i | −0.348980 | + | 0.402744i | ||||
\(591\) | 6.94084 | − | 15.1983i | 0.285508 | − | 0.625175i | ||||
\(592\) | 13.2146 | + | 8.49250i | 0.543116 | + | 0.349039i | ||||
\(593\) | −2.12679 | − | 14.7922i | −0.0873369 | − | 0.607441i | −0.985741 | − | 0.168271i | \(-0.946182\pi\) |
0.898404 | − | 0.439170i | \(-0.144727\pi\) | |||||||
\(594\) | 2.32517 | − | 1.49429i | 0.0954028 | − | 0.0613116i | ||||
\(595\) | 13.7156 | + | 15.8286i | 0.562284 | + | 0.648910i | ||||
\(596\) | −7.04990 | + | 2.07004i | −0.288775 | + | 0.0847920i | ||||
\(597\) | 57.4853 | 2.35272 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −1.88854 | −0.0771638 | −0.0385819 | − | 0.999255i | \(-0.512284\pi\) | ||||
−0.0385819 | + | 0.999255i | \(0.512284\pi\) | |||||||
\(600\) | −26.2524 | + | 7.70839i | −1.07175 | + | 0.314694i | ||||
\(601\) | −7.27646 | − | 8.39748i | −0.296813 | − | 0.342540i | 0.587680 | − | 0.809093i | \(-0.300041\pi\) |
−0.884493 | + | 0.466553i | \(0.845496\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −2.05960 | − | 14.3248i | −0.0838734 | − | 0.583352i | ||||
\(604\) | −0.122737 | − | 0.0788784i | −0.00499411 | − | 0.00320952i | ||||
\(605\) | −14.0029 | + | 30.6621i | −0.569299 | + | 1.24659i | ||||
\(606\) | −10.5959 | + | 12.2283i | −0.430428 | + | 0.496740i | ||||
\(607\) | −2.49448 | + | 17.3495i | −0.101248 | + | 0.704193i | 0.874457 | + | 0.485103i | \(0.161218\pi\) |
−0.975705 | + | 0.219090i | \(0.929691\pi\) | |||||||
\(608\) | 2.80984 | + | 6.15269i | 0.113954 | + | 0.249524i | ||||
\(609\) | 7.95592 | + | 2.33607i | 0.322390 | + | 0.0946623i | ||||
\(610\) | −54.9837 | − | 16.1447i | −2.22622 | − | 0.653679i | ||||
\(611\) | 2.78669 | + | 6.10200i | 0.112737 | + | 0.246860i | ||||
\(612\) | 0.921081 | − | 6.40626i | 0.0372325 | − | 0.258958i | ||||
\(613\) | −5.04780 | + | 5.82547i | −0.203879 | + | 0.235289i | −0.848476 | − | 0.529234i | \(-0.822480\pi\) |
0.644597 | + | 0.764522i | \(0.277025\pi\) | |||||||
\(614\) | −12.4161 | + | 27.1876i | −0.501075 | + | 1.09720i | ||||
\(615\) | 33.3109 | + | 21.4076i | 1.34323 | + | 0.863238i | ||||
\(616\) | −0.300492 | − | 2.08996i | −0.0121071 | − | 0.0842071i | ||||
\(617\) | 13.8572 | − | 8.90551i | 0.557872 | − | 0.358522i | −0.231121 | − | 0.972925i | \(-0.574239\pi\) |
0.788993 | + | 0.614403i | \(0.210603\pi\) | |||||||
\(618\) | −43.0748 | − | 49.7110i | −1.73272 | − | 1.99967i | ||||
\(619\) | −7.11599 | + | 2.08944i | −0.286016 | + | 0.0839818i | −0.421594 | − | 0.906785i | \(-0.638529\pi\) |
0.135578 | + | 0.990767i | \(0.456711\pi\) | |||||||
\(620\) | −13.4164 | −0.538816 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 14.8541 | 0.595595 | ||||||||
\(623\) | −1.81204 | + | 0.532064i | −0.0725980 | + | 0.0213167i | ||||
\(624\) | 21.3238 | + | 24.6089i | 0.853634 | + | 0.985146i | ||||
\(625\) | −18.8579 | + | 12.1192i | −0.754315 | + | 0.484769i | ||||
\(626\) | 4.68846 | + | 32.6089i | 0.187388 | + | 1.30332i | ||||
\(627\) | 2.87407 | + | 1.84705i | 0.114779 | + | 0.0737641i | ||||
\(628\) | −3.95802 | + | 8.66685i | −0.157942 | + | 0.345845i | ||||
\(629\) | −11.0961 | + | 12.8056i | −0.442432 | + | 0.510594i | ||||
\(630\) | 1.84216 | − | 12.8125i | 0.0733935 | − | 0.510463i | ||||
\(631\) | 13.4431 | + | 29.4363i | 0.535162 | + | 1.17184i | 0.963374 | + | 0.268163i | \(0.0864164\pi\) |
−0.428212 | + | 0.903678i | \(0.640856\pi\) | |||||||
\(632\) | 14.8989 | + | 4.37470i | 0.592645 | + | 0.174016i | ||||
\(633\) | −7.32987 | − | 2.15225i | −0.291336 | − | 0.0855441i | ||||
\(634\) | 0.952046 | + | 2.08469i | 0.0378106 | + | 0.0827937i | ||||
\(635\) | 9.53697 | − | 66.3311i | 0.378463 | − | 2.63227i | ||||
\(636\) | −7.66724 | + | 8.84847i | −0.304026 | + | 0.350865i | ||||
\(637\) | −6.81962 | + | 14.9329i | −0.270203 | + | 0.591663i | ||||
\(638\) | 3.11954 | + | 2.00481i | 0.123504 | + | 0.0793710i | ||||
\(639\) | −2.20985 | − | 15.3698i | −0.0874201 | − | 0.608020i | ||||
\(640\) | −37.0731 | + | 23.8254i | −1.46544 | + | 0.941783i | ||||
\(641\) | 29.6684 | + | 34.2392i | 1.17183 | + | 1.35237i | 0.923456 | + | 0.383703i | \(0.125351\pi\) |
0.248376 | + | 0.968664i | \(0.420103\pi\) | |||||||
\(642\) | 46.5748 | − | 13.6756i | 1.83816 | − | 0.539732i | ||||
\(643\) | −19.5967 | −0.772820 | −0.386410 | − | 0.922327i | \(-0.626285\pi\) | ||||
−0.386410 | + | 0.922327i | \(0.626285\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −16.2579 | + | 4.77375i | −0.639659 | + | 0.187821i | ||||
\(647\) | 4.39294 | + | 5.06972i | 0.172704 | + | 0.199311i | 0.835502 | − | 0.549487i | \(-0.185177\pi\) |
−0.662798 | + | 0.748798i | \(0.730631\pi\) | |||||||
\(648\) | −20.6921 | + | 13.2980i | −0.812862 | + | 0.522395i | ||||
\(649\) | 0.268768 | + | 1.86932i | 0.0105501 | + | 0.0733773i | ||||
\(650\) | −22.3456 | − | 14.3607i | −0.876468 | − | 0.563272i | ||||
\(651\) | −7.70222 | + | 16.8655i | −0.301874 | + | 0.661011i | ||||
\(652\) | 4.14280 | − | 4.78105i | 0.162245 | − | 0.187240i | ||||
\(653\) | −3.45896 | + | 24.0576i | −0.135359 | + | 0.941445i | 0.803048 | + | 0.595914i | \(0.203210\pi\) |
−0.938407 | + | 0.345531i | \(0.887699\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −16.4309 | − | 4.82456i | −0.642010 | − | 0.188511i | ||||
\(656\) | 25.4863 | + | 7.48347i | 0.995075 | + | 0.292180i | ||||
\(657\) | 12.8547 | + | 28.1479i | 0.501510 | + | 1.09815i | ||||
\(658\) | 0.636451 | − | 4.42662i | 0.0248115 | − | 0.172567i | ||||
\(659\) | 13.5245 | − | 15.6081i | 0.526840 | − | 0.608005i | −0.428490 | − | 0.903546i | \(-0.640954\pi\) |
0.955330 | + | 0.295541i | \(0.0954999\pi\) | |||||||
\(660\) | 1.41923 | − | 3.10767i | 0.0552433 | − | 0.120966i | ||||
\(661\) | 4.25315 | + | 2.73333i | 0.165428 | + | 0.106314i | 0.620735 | − | 0.784020i | \(-0.286834\pi\) |
−0.455307 | + | 0.890334i | \(0.650471\pi\) | |||||||
\(662\) | 2.68322 | + | 18.6622i | 0.104286 | + | 0.725327i | ||||
\(663\) | −29.5487 | + | 18.9898i | −1.14758 | + | 0.737503i | ||||
\(664\) | −19.3817 | − | 22.3677i | −0.752158 | − | 0.868036i | ||||
\(665\) | −7.67594 | + | 2.25386i | −0.297660 | + | 0.0874010i | ||||
\(666\) | 10.4721 | 0.405787 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | 6.47214 | 0.250414 | ||||||||
\(669\) | −8.58197 | + | 2.51989i | −0.331798 | + | 0.0974247i | ||||
\(670\) | 24.8117 | + | 28.6343i | 0.958560 | + | 1.10624i | ||||
\(671\) | −7.03345 | + | 4.52012i | −0.271523 | + | 0.174497i | ||||
\(672\) | −1.33029 | − | 9.25238i | −0.0513171 | − | 0.356918i | ||||
\(673\) | 2.52376 | + | 1.62192i | 0.0972838 | + | 0.0625205i | 0.588378 | − | 0.808586i | \(-0.299767\pi\) |
−0.491094 | + | 0.871106i | \(0.663403\pi\) | |||||||
\(674\) | −2.29636 | + | 5.02832i | −0.0884524 | + | 0.193684i | ||||
\(675\) | 8.01292 | − | 9.24740i | 0.308417 | − | 0.355933i | ||||
\(676\) | 0.351822 | − | 2.44697i | 0.0135316 | − | 0.0941144i | ||||
\(677\) | −7.47747 | − | 16.3734i | −0.287383 | − | 0.629280i | 0.709791 | − | 0.704412i | \(-0.248789\pi\) |
−0.997174 | + | 0.0751323i | \(0.976062\pi\) | |||||||
\(678\) | −45.9487 | − | 13.4918i | −1.76465 | − | 0.518148i | ||||
\(679\) | 5.09006 | + | 1.49458i | 0.195339 | + | 0.0573566i | ||||
\(680\) | −15.7395 | − | 34.4646i | −0.603581 | − | 1.32166i | ||||
\(681\) | 3.23965 | − | 22.5322i | 0.124143 | − | 0.863437i | ||||
\(682\) | −5.42997 | + | 6.26652i | −0.207924 | + | 0.239958i | ||||
\(683\) | −9.38703 | + | 20.5547i | −0.359185 | + | 0.786505i | 0.640641 | + | 0.767840i | \(0.278669\pi\) |
−0.999826 | + | 0.0186643i | \(0.994059\pi\) | |||||||
\(684\) | 2.07969 | + | 1.33654i | 0.0795191 | + | 0.0511038i | ||||
\(685\) | 6.39624 | + | 44.4868i | 0.244388 | + | 1.69975i | ||||
\(686\) | 20.9845 | − | 13.4859i | 0.801190 | − | 0.514894i | ||||
\(687\) | −17.5718 | − | 20.2789i | −0.670404 | − | 0.773688i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 25.4164 | 0.968288 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 24.9443 | 0.948925 | 0.474462 | − | 0.880276i | \(-0.342642\pi\) | ||||
0.474462 | + | 0.880276i | \(0.342642\pi\) | |||||||
\(692\) | −2.99804 | + | 0.880305i | −0.113968 | + | 0.0334642i | ||||
\(693\) | −1.23673 | − | 1.42727i | −0.0469796 | − | 0.0542174i | ||||
\(694\) | −35.2389 | + | 22.6467i | −1.33765 | + | 0.859655i | ||||
\(695\) | −1.24724 | − | 8.67473i | −0.0473104 | − | 0.329051i | ||||
\(696\) | −12.6188 | − | 8.10961i | −0.478314 | − | 0.307394i | ||||
\(697\) | −11.9027 | + | 26.0632i | −0.450846 | + | 0.987214i | ||||
\(698\) | −2.56039 | + | 2.95485i | −0.0969123 | + | 0.111843i | ||||
\(699\) | 4.92363 | − | 34.2446i | 0.186229 | − | 1.29525i | ||||
\(700\) | 1.73658 | + | 3.80257i | 0.0656364 | + | 0.143724i | ||||
\(701\) | −25.1199 | − | 7.37585i | −0.948764 | − | 0.278582i | −0.229492 | − | 0.973311i | \(-0.573706\pi\) |
−0.719272 | + | 0.694728i | \(0.755525\pi\) | |||||||
\(702\) | −10.4144 | − | 3.05795i | −0.393068 | − | 0.115415i | ||||
\(703\) | −2.68862 | − | 5.88726i | −0.101403 | − | 0.222042i | ||||
\(704\) | −0.460540 | + | 3.20313i | −0.0173573 | + | 0.120722i | ||||
\(705\) | −10.5959 | + | 12.2283i | −0.399064 | + | 0.460544i | ||||
\(706\) | 23.7679 | − | 52.0444i | 0.894516 | − | 1.95872i | ||||
\(707\) | −4.65034 | − | 2.98859i | −0.174894 | − | 0.112397i | ||||
\(708\) | 0.486206 | + | 3.38163i | 0.0182727 | + | 0.127090i | ||||
\(709\) | −13.5180 | + | 8.68749i | −0.507679 | + | 0.326266i | −0.769281 | − | 0.638910i | \(-0.779386\pi\) |
0.261602 | + | 0.965176i | \(0.415749\pi\) | |||||||
\(710\) | 26.6217 | + | 30.7231i | 0.999095 | + | 1.15302i | ||||
\(711\) | 13.3260 | − | 3.91285i | 0.499763 | − | 0.146744i | ||||
\(712\) | 3.41641 | 0.128035 | ||||||||
\(713\) | 0 | 0 | ||||||||
\(714\) | 23.4164 | 0.876337 | ||||||||
\(715\) | −7.11599 | + | 2.08944i | −0.266123 | + | 0.0781408i | ||||
\(716\) | 5.14334 | + | 5.93573i | 0.192216 | + | 0.221829i | ||||
\(717\) | 34.3039 | − | 22.0458i | 1.28110 | − | 0.823314i | ||||
\(718\) | −3.65866 | − | 25.4465i | −0.136540 | − | 0.949656i | ||||
\(719\) | −17.6194 | − | 11.3233i | −0.657094 | − | 0.422289i | 0.169158 | − | 0.985589i | \(-0.445895\pi\) |
−0.826252 | + | 0.563300i | \(0.809532\pi\) | |||||||
\(720\) | −13.0508 | + | 28.5774i | −0.486376 | + | 1.06502i | ||||
\(721\) | 14.7161 | − | 16.9833i | 0.548057 | − | 0.632491i | ||||
\(722\) | −3.45405 | + | 24.0235i | −0.128547 | + | 0.894061i | ||||
\(723\) | −15.9070 | − | 34.8314i | −0.591587 | − | 1.29540i | ||||
\(724\) | −8.68891 | − | 2.55129i | −0.322921 | − | 0.0948181i | ||||
\(725\) | 15.7514 | + | 4.62504i | 0.584993 | + | 0.171770i | ||||
\(726\) | 15.6557 | + | 34.2812i | 0.581038 | + | 1.27230i | ||||
\(727\) | −2.03393 | + | 14.1463i | −0.0754345 | + | 0.524658i | 0.916709 | + | 0.399555i | \(0.130835\pi\) |
−0.992144 | + | 0.125103i | \(0.960074\pi\) | |||||||
\(728\) | −5.42997 | + | 6.26652i | −0.201248 | + | 0.232253i | ||||
\(729\) | −2.90791 | + | 6.36742i | −0.107700 | + | 0.235831i | ||||
\(730\) | −68.1526 | − | 43.7990i | −2.52244 | − | 1.62107i | ||||
\(731\) | 0 | 0 | ||||||||
\(732\) | −12.7236 | + | 8.17698i | −0.470279 | + | 0.302230i | ||||
\(733\) | −17.5266 | − | 20.2268i | −0.647362 | − | 0.747095i | 0.333297 | − | 0.942822i | \(-0.391839\pi\) |
−0.980658 | + | 0.195727i | \(0.937293\pi\) | |||||||
\(734\) | −28.2248 | + | 8.28756i | −1.04180 | + | 0.305899i | ||||
\(735\) | −39.5967 | −1.46055 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 5.52786 | 0.203621 | ||||||||
\(738\) | 16.9909 | − | 4.98898i | 0.625444 | − | 0.183647i | ||||
\(739\) | −32.2063 | − | 37.1680i | −1.18473 | − | 1.36725i | −0.914568 | − | 0.404432i | \(-0.867469\pi\) |
−0.270159 | − | 0.962816i | \(-0.587076\pi\) | |||||||
\(740\) | −5.44471 | + | 3.49910i | −0.200151 | + | 0.128630i | ||||
\(741\) | −1.90935 | − | 13.2798i | −0.0701419 | − | 0.487847i | ||||
\(742\) | −14.2544 | − | 9.16077i | −0.523297 | − | 0.336302i | ||||
\(743\) | −0.363649 | + | 0.796281i | −0.0133410 | + | 0.0292127i | −0.916185 | − | 0.400755i | \(-0.868748\pi\) |
0.902844 | + | 0.429968i | \(0.141475\pi\) | |||||||
\(744\) | 21.9647 | − | 25.3486i | 0.805265 | − | 0.929325i | ||||
\(745\) | −5.47516 | + | 38.0805i | −0.200594 | + | 1.39516i | ||||
\(746\) | −3.83680 | − | 8.40142i | −0.140475 | − | 0.307598i | ||||
\(747\) | −25.3998 | − | 7.45806i | −0.929331 | − | 0.272876i | ||||
\(748\) | 2.37200 | + | 0.696481i | 0.0867288 | + | 0.0254659i | ||||
\(749\) | 6.88907 | + | 15.0850i | 0.251721 | + | 0.551193i | ||||
\(750\) | 0.786697 | − | 5.47160i | 0.0287261 | − | 0.199795i | ||||
\(751\) | −29.0501 | + | 33.5256i | −1.06005 | + | 1.22337i | −0.0861772 | + | 0.996280i | \(0.527465\pi\) |
−0.973875 | + | 0.227085i | \(0.927080\pi\) | |||||||
\(752\) | −4.50896 | + | 9.87324i | −0.164425 | + | 0.360040i | ||||
\(753\) | −29.5487 | − | 18.9898i | −1.07681 | − | 0.692027i | ||||
\(754\) | −2.07243 | − | 14.4141i | −0.0754735 | − | 0.524930i | ||||
\(755\) | −0.642661 | + | 0.413013i | −0.0233888 | + | 0.0150311i | ||||
\(756\) | 1.11864 | + | 1.29097i | 0.0406844 | + | 0.0469523i | ||||
\(757\) | −45.6687 | + | 13.4096i | −1.65986 | + | 0.487379i | −0.971311 | − | 0.237813i | \(-0.923570\pi\) |
−0.688548 | + | 0.725191i | \(0.741751\pi\) | |||||||
\(758\) | −32.9443 | −1.19659 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 14.4721 | 0.524960 | ||||||||
\(761\) | 15.6445 | − | 4.59364i | 0.567112 | − | 0.166519i | 0.0144073 | − | 0.999896i | \(-0.495414\pi\) |
0.552705 | + | 0.833377i | \(0.313596\pi\) | |||||||
\(762\) | −49.0641 | − | 56.6230i | −1.77741 | − | 2.05124i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −0.335960 | − | 2.33665i | −0.0121546 | − | 0.0845371i | ||||
\(765\) | −28.5089 | − | 18.3215i | −1.03074 | − | 0.662416i | ||||
\(766\) | 16.7664 | − | 36.7134i | 0.605796 | − | 1.32651i | ||||
\(767\) | 4.85671 | − | 5.60495i | 0.175366 | − | 0.202383i | ||||
\(768\) | −4.31587 | + | 30.0176i | −0.155736 | + | 1.08317i | ||||
\(769\) | −7.11382 | − | 15.5771i | −0.256531 | − | 0.561724i | 0.736921 | − | 0.675979i | \(-0.236279\pi\) |
−0.993451 | + | 0.114255i | \(0.963552\pi\) | |||||||
\(770\) | 4.74399 | + | 1.39296i | 0.170962 | + | 0.0501989i | ||||
\(771\) | −3.15846 | − | 0.927406i | −0.113749 | − | 0.0333997i | ||||
\(772\) | −2.03962 | − | 4.46614i | −0.0734074 | − | 0.160740i | ||||
\(773\) | −2.05960 | + | 14.3248i | −0.0740787 | + | 0.515228i | 0.918671 | + | 0.395025i | \(0.129264\pi\) |
−0.992749 | + | 0.120204i | \(0.961645\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −15.2491 | + | 33.3910i | −0.547765 | + | 1.19944i | ||||
\(776\) | −8.07330 | − | 5.18839i | −0.289815 | − | 0.186252i | ||||
\(777\) | 1.27290 | + | 8.85323i | 0.0456651 | + | 0.317608i | ||||
\(778\) | 46.9227 | − | 30.1554i | 1.68226 | − | 1.08112i | ||||
\(779\) | −7.16697 | − | 8.27113i | −0.256783 | − | 0.296344i | ||||
\(780\) | −12.8729 | + | 3.77984i | −0.460926 | + | 0.135340i | ||||
\(781\) | 5.93112 | 0.212232 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 6.70820 | 0.239732 | ||||||||
\(784\) | −25.4863 | + | 7.48347i | −0.910227 | + | 0.267267i | ||||
\(785\) | 32.6700 | + | 37.7032i | 1.16604 | + | 1.34569i | ||||
\(786\) | −16.1066 | + | 10.3511i | −0.574502 | + | 0.369210i | ||||
\(787\) | 7.31732 | + | 50.8931i | 0.260834 | + | 1.81414i | 0.526610 | + | 0.850107i | \(0.323463\pi\) |
−0.265776 | + | 0.964035i | \(0.585628\pi\) | |||||||
\(788\) | 3.88494 | + | 2.49670i | 0.138395 | + | 0.0889412i | ||||
\(789\) | 13.8817 | − | 30.3966i | 0.494201 | − | 1.08215i | ||||
\(790\) | −23.8112 | + | 27.4796i | −0.847164 | + | 0.977679i | ||||
\(791\) | 2.32837 | − | 16.1942i | 0.0827872 | − | 0.575798i | ||||
\(792\) | 1.41923 | + | 3.10767i | 0.0504300 | + | 0.110426i | ||||
\(793\) | 31.5029 | + | 9.25007i | 1.11870 | + | 0.328480i | ||||
\(794\) | 3.75145 | + | 1.10153i | 0.133134 | + | 0.0390917i | ||||
\(795\) | 25.4670 | + | 55.7649i | 0.903221 | + | 1.97778i | ||||
\(796\) | −2.26118 | + | 15.7268i | −0.0801452 | + | 0.557422i | ||||
\(797\) | 6.78480 | − | 7.83008i | 0.240330 | − | 0.277356i | −0.622752 | − | 0.782419i | \(-0.713985\pi\) |
0.863082 | + | 0.505064i | \(0.168531\pi\) | |||||||
\(798\) | −3.71558 | + | 8.13600i | −0.131530 | + | 0.288011i | ||||
\(799\) | −9.84957 | − | 6.32993i | −0.348453 | − | 0.223937i | ||||
\(800\) | −2.63376 | − | 18.3182i | −0.0931175 | − | 0.647646i | ||||
\(801\) | 2.57064 | − | 1.65205i | 0.0908292 | − | 0.0583724i | ||||
\(802\) | −8.66778 | − | 10.0032i | −0.306070 | − | 0.353224i | ||||
\(803\) | −11.3409 | + | 3.32998i | −0.400211 | + | 0.117513i | ||||
\(804\) | 10.0000 | 0.352673 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 32.5623 | 1.14696 | ||||||||
\(807\) | −21.3354 | + | 6.26462i | −0.751040 | + | 0.220525i | ||||
\(808\) | 6.54861 | + | 7.55750i | 0.230379 | + | 0.265872i | ||||
\(809\) | 40.2864 | − | 25.8905i | 1.41639 | − | 0.910262i | 0.416395 | − | 0.909184i | \(-0.363293\pi\) |
0.999999 | − | 0.00107784i | \(-0.000343088\pi\) | |||||||
\(810\) | −8.19687 | − | 57.0105i | −0.288009 | − | 2.00314i | ||||
\(811\) | −46.8178 | − | 30.0880i | −1.64400 | − | 1.05653i | −0.937008 | − | 0.349308i | \(-0.886417\pi\) |
−0.706989 | − | 0.707225i | \(-0.749947\pi\) | |||||||
\(812\) | −0.952046 | + | 2.08469i | −0.0334103 | + | 0.0731583i | ||||
\(813\) | −11.7145 | + | 13.5193i | −0.410846 | + | 0.474141i | ||||
\(814\) | −0.569259 | + | 3.95929i | −0.0199525 | + | 0.138773i | ||||
\(815\) | −13.7605 | − | 30.1312i | −0.482008 | − | 1.05545i | ||||
\(816\) | −54.5307 | − | 16.0117i | −1.90896 | − | 0.560520i | ||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 15.7020 | + | 34.3826i | 0.549008 | + | 1.20216i | ||||
\(819\) | −1.05546 | + | 7.34092i | −0.0368809 | + | 0.256512i | ||||
\(820\) | −7.16697 | + | 8.27113i | −0.250282 | + | 0.288840i | ||||
\(821\) | −8.74687 | + | 19.1530i | −0.305268 | + | 0.668443i | −0.998640 | − | 0.0521365i | \(-0.983397\pi\) |
0.693372 | + | 0.720580i | \(0.256124\pi\) | |||||||
\(822\) | 42.2723 | + | 27.1668i | 1.47442 | + | 0.947550i | ||||
\(823\) | −3.91950 | − | 27.2607i | −0.136625 | − | 0.950248i | −0.936646 | − | 0.350276i | \(-0.886088\pi\) |
0.800021 | − | 0.599972i | \(-0.204821\pi\) | |||||||
\(824\) | −34.1990 | + | 21.9784i | −1.19138 | + | 0.765653i | ||||
\(825\) | −6.12133 | − | 7.06439i | −0.213117 | − | 0.245950i | ||||
\(826\) | −4.74399 | + | 1.39296i | −0.165065 | + | 0.0484674i | ||||
\(827\) | −10.4721 | −0.364152 | −0.182076 | − | 0.983284i | \(-0.558282\pi\) | ||||
−0.182076 | + | 0.983284i | \(0.558282\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −40.2492 | −1.39791 | −0.698957 | − | 0.715164i | \(-0.746352\pi\) | ||||
−0.698957 | + | 0.715164i | \(0.746352\pi\) | |||||||
\(830\) | 66.4976 | − | 19.5255i | 2.30817 | − | 0.677739i | ||||
\(831\) | −9.55884 | − | 11.0315i | −0.331592 | − | 0.382678i | ||||
\(832\) | 10.6908 | − | 6.87057i | 0.370638 | − | 0.238194i | ||||
\(833\) | −4.07767 | − | 28.3608i | −0.141283 | − | 0.982645i | ||||
\(834\) | −8.24292 | − | 5.29740i | −0.285429 | − | 0.183434i | ||||
\(835\) | 14.0778 | − | 30.8261i | 0.487183 | − | 1.06678i | ||||
\(836\) | −0.618367 | + | 0.713633i | −0.0213867 | + | 0.0246815i | ||||
\(837\) | −2.13472 | + | 14.8473i | −0.0737868 | + | 0.513199i | ||||
\(838\) | −21.1167 | − | 46.2392i | −0.729465 | − | 1.59731i | ||||
\(839\) | −0.839929 | − | 0.246625i | −0.0289976 | − | 0.00851445i | 0.267202 | − | 0.963641i | \(-0.413901\pi\) |
−0.296199 | + | 0.955126i | \(0.595719\pi\) | |||||||
\(840\) | −19.1899 | − | 5.63465i | −0.662113 | − | 0.194414i | ||||
\(841\) | −8.30830 | − | 18.1926i | −0.286493 | − | 0.627332i | ||||
\(842\) | 5.45929 | − | 37.9702i | 0.188140 | − | 1.30854i | ||||
\(843\) | −19.3817 | + | 22.3677i | −0.667543 | + | 0.770386i | ||||
\(844\) | 0.877131 | − | 1.92065i | 0.0301921 | − | 0.0661114i | ||||
\(845\) | −10.8894 | − | 6.99820i | −0.374607 | − | 0.240745i | ||||
\(846\) | 1.02980 | + | 7.16242i | 0.0354052 | + | 0.246249i | ||||
\(847\) | −10.8315 | + | 6.96096i | −0.372174 | + | 0.239181i | ||||
\(848\) | 26.9309 | + | 31.0799i | 0.924811 | + | 1.06729i | ||||
\(849\) | 30.6629 | − | 9.00345i | 1.05235 | − | 0.308998i | ||||
\(850\) | 46.3607 | 1.59016 | ||||||||
\(851\) | 0 | 0 | ||||||||
\(852\) | 10.7295 | 0.367586 | ||||||||
\(853\) | 35.9008 | − | 10.5414i | 1.22922 | − | 0.360931i | 0.398264 | − | 0.917271i | \(-0.369613\pi\) |
0.830955 | + | 0.556339i | \(0.187795\pi\) | |||||||
\(854\) | −14.3339 | − | 16.5423i | −0.490498 | − | 0.566064i | ||||
\(855\) | 10.8894 | − | 6.99820i | 0.372410 | − | 0.239333i | ||||
\(856\) | −4.26945 | − | 29.6946i | −0.145927 | − | 1.01494i | ||||
\(857\) | −6.28596 | − | 4.03974i | −0.214724 | − | 0.137995i | 0.428858 | − | 0.903372i | \(-0.358916\pi\) |
−0.643582 | + | 0.765377i | \(0.722553\pi\) | |||||||
\(858\) | −3.44454 | + | 7.54248i | −0.117595 | + | 0.257496i | ||||
\(859\) | 2.15567 | − | 2.48777i | 0.0735504 | − | 0.0848817i | −0.717782 | − | 0.696268i | \(-0.754842\pi\) |
0.791332 | + | 0.611386i | \(0.209388\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 6.28299 | + | 13.7578i | 0.214124 | + | 0.468866i | ||||
\(862\) | 41.0978 | + | 12.0674i | 1.39980 | + | 0.411017i | ||||
\(863\) | −43.6963 | − | 12.8304i | −1.48744 | − | 0.436751i | −0.565716 | − | 0.824600i | \(-0.691400\pi\) |
−0.921723 | + | 0.387849i | \(0.873218\pi\) | |||||||
\(864\) | −3.14150 | − | 6.87892i | −0.106876 | − | 0.234025i | ||||
\(865\) | −2.32837 | + | 16.1942i | −0.0791669 | + | 0.550618i | ||||
\(866\) | −42.5746 | + | 49.1337i | −1.44674 | + | 1.66963i | ||||
\(867\) | 9.67576 | − | 21.1870i | 0.328606 | − | 0.719547i | ||||
\(868\) | −4.31110 | − | 2.77057i | −0.146328 | − | 0.0940394i | ||||
\(869\) | 0.754973 | + | 5.25095i | 0.0256107 | + | 0.178126i | ||||
\(870\) | 29.5487 | − | 18.9898i | 1.00179 | − | 0.643814i | ||||
\(871\) | −14.2159 | − | 16.4060i | −0.481686 | − | 0.555895i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −8.58359 | −0.290511 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 1.88854 | 0.0638444 | ||||||||
\(876\) | −20.5158 | + | 6.02400i | −0.693166 | + | 0.203532i | ||||
\(877\) | 18.0269 | + | 20.8042i | 0.608726 | + | 0.702507i | 0.973525 | − | 0.228579i | \(-0.0734080\pi\) |
−0.364800 | + | 0.931086i | \(0.618863\pi\) | |||||||
\(878\) | 7.20307 | − | 4.62913i | 0.243092 | − | 0.156226i | ||||
\(879\) | −3.33250 | − | 23.1781i | −0.112403 | − | 0.781777i | ||||
\(880\) | −10.0950 | − | 6.48769i | −0.340304 | − | 0.218700i | ||||
\(881\) | −9.06421 | + | 19.8479i | −0.305381 | + | 0.668691i | −0.998648 | − | 0.0519899i | \(-0.983444\pi\) |
0.693266 | + | 0.720681i | \(0.256171\pi\) | |||||||
\(882\) | −11.5964 | + | 13.3830i | −0.390471 | + | 0.450628i | ||||
\(883\) | −0.569259 | + | 3.95929i | −0.0191571 | + | 0.133241i | −0.997155 | − | 0.0753718i | \(-0.975986\pi\) |
0.977998 | + | 0.208612i | \(0.0668947\pi\) | |||||||
\(884\) | −4.03293 | − | 8.83089i | −0.135642 | − | 0.297015i | ||||
\(885\) | 17.1639 | + | 5.03979i | 0.576959 | + | 0.169411i | ||||
\(886\) | −3.29844 | − | 0.968510i | −0.110813 | − | 0.0325377i | ||||
\(887\) | −14.5681 | − | 31.8998i | −0.489150 | − | 1.07109i | −0.979845 | − | 0.199758i | \(-0.935984\pi\) |
0.490695 | − | 0.871331i | \(-0.336743\pi\) | |||||||
\(888\) | 2.30270 | − | 16.0156i | 0.0772736 | − | 0.537450i | ||||
\(889\) | 16.7623 | − | 19.3447i | 0.562190 | − | 0.648801i | ||||
\(890\) | −3.32332 | + | 7.27706i | −0.111398 | + | 0.243927i | ||||
\(891\) | −7.06927 | − | 4.54314i | −0.236829 | − | 0.152201i | ||||
\(892\) | −0.351822 | − | 2.44697i | −0.0117799 | − | 0.0819307i | ||||
\(893\) | 3.76220 | − | 2.41782i | 0.125897 | − | 0.0809092i | ||||
\(894\) | 28.1676 | + | 32.5072i | 0.942066 | + | 1.08720i | ||||
\(895\) | 39.4588 | − | 11.5861i | 1.31896 | − | 0.387282i | ||||
\(896\) | −16.8328 | −0.562345 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −4.76393 | −0.158974 | ||||||||
\(899\) | −19.3094 | + | 5.66976i | −0.644005 | + | 0.189097i | ||||
\(900\) | −4.42943 | − | 5.11184i | −0.147648 | − | 0.170395i | ||||
\(901\) | −37.3186 | + | 23.9832i | −1.24326 | + | 0.798996i | ||||
\(902\) | 0.962608 | + | 6.69508i | 0.0320513 | + | 0.222922i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −12.2949 | + | 26.9221i | −0.408923 | + | 0.895417i | ||||
\(905\) | −31.0511 | + | 35.8349i | −1.03217 | + | 1.19119i | ||||
\(906\) | −0.121551 | + | 0.845408i | −0.00403827 | + | 0.0280868i | ||||
\(907\) | −16.7201 | − | 36.6120i | −0.555183 | − | 1.21568i | −0.954319 | − | 0.298789i | \(-0.903417\pi\) |
0.399136 | − | 0.916892i | \(-0.369310\pi\) | |||||||
\(908\) | 6.03693 | + | 1.77260i | 0.200343 | + | 0.0588259i | ||||
\(909\) | 8.58197 | + | 2.51989i | 0.284646 | + | 0.0835796i | ||||
\(910\) | −8.06587 | − | 17.6618i | −0.267381 | − | 0.585482i | ||||
\(911\) | −4.45516 | + | 30.9863i | −0.147606 | + | 1.02662i | 0.772517 | + | 0.634994i | \(0.218997\pi\) |
−0.920123 | + | 0.391629i | \(0.871912\pi\) | |||||||
\(912\) | 14.2159 | − | 16.4060i | 0.470734 | − | 0.543256i | ||||
\(913\) | 4.20045 | − | 9.19770i | 0.139015 | − | 0.304400i | ||||
\(914\) | 47.8108 | + | 30.7261i | 1.58144 | + | 1.01633i | ||||
\(915\) | 11.2704 | + | 78.3874i | 0.372588 | + | 2.59141i | ||||
\(916\) | 6.23908 | − | 4.00961i | 0.206145 | − | 0.132481i | ||||
\(917\) | −4.28346 | − | 4.94337i | −0.141452 | − | 0.163245i | ||||
\(918\) | 18.1769 | − | 5.33722i | 0.599927 | − | 0.176154i | ||||
\(919\) | −0.875388 | −0.0288764 | −0.0144382 | − | 0.999896i | \(-0.504596\pi\) | ||||
−0.0144382 | + | 0.999896i | \(0.504596\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 41.3050 | 1.36104 | ||||||||
\(922\) | 11.6004 | − | 3.40619i | 0.382040 | − | 0.112177i | ||||
\(923\) | −15.2529 | − | 17.6028i | −0.502055 | − | 0.579402i | ||||
\(924\) | 1.09780 | − | 0.705510i | 0.0361148 | − | 0.0232096i | ||||
\(925\) | 2.52014 | + | 17.5280i | 0.0828617 | + | 0.576316i | ||||
\(926\) | 27.2235 | + | 17.4955i | 0.894621 | + | 0.574938i | ||||
\(927\) | −15.1048 | + | 33.0748i | −0.496106 | + | 1.08632i | ||||
\(928\) | 6.64415 | − | 7.66776i | 0.218105 | − | 0.251706i | ||||
\(929\) | 5.96929 | − | 41.5173i | 0.195846 | − | 1.36214i | −0.620332 | − | 0.784339i | \(-0.713002\pi\) |
0.816178 | − | 0.577800i | \(-0.196089\pi\) | |||||||
\(930\) | 32.6271 | + | 71.4434i | 1.06989 | + | 2.34272i | ||||
\(931\) | 10.5010 | + | 3.08336i | 0.344155 | + | 0.101053i | ||||
\(932\) | 9.17497 | + | 2.69401i | 0.300536 | + | 0.0882453i | ||||
\(933\) | −8.52758 | − | 18.6728i | −0.279181 | − | 0.611320i | ||||
\(934\) | 7.12555 | − | 49.5593i | 0.233155 | − | 1.62163i | ||||
\(935\) | 8.47670 | − | 9.78263i | 0.277218 | − | 0.319926i | ||||
\(936\) | 5.57338 | − | 12.2040i | 0.182172 | − | 0.398900i | ||||
\(937\) | −9.94333 | − | 6.39019i | −0.324834 | − | 0.208758i | 0.368052 | − | 0.929805i | \(-0.380025\pi\) |
−0.692886 | + | 0.721047i | \(0.743661\pi\) | |||||||
\(938\) | 2.05960 | + | 14.3248i | 0.0672483 | + | 0.467722i | ||||
\(939\) | 38.3005 | − | 24.6142i | 1.24989 | − | 0.803255i | ||||
\(940\) | −2.92863 | − | 3.37981i | −0.0955213 | − | 0.110237i | ||||
\(941\) | −23.6539 | + | 6.94541i | −0.771094 | + | 0.226414i | −0.643534 | − | 0.765417i | \(-0.722533\pi\) |
−0.127560 | + | 0.991831i | \(0.540715\pi\) | |||||||
\(942\) | 55.7771 | 1.81732 | ||||||||
\(943\) | 0 | 0 | ||||||||
\(944\) | 12.0000 | 0.390567 | ||||||||
\(945\) | 8.58197 | − | 2.51989i | 0.279171 | − | 0.0819721i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −27.9131 | + | 17.9386i | −0.907053 | + | 0.582928i | −0.908874 | − | 0.417071i | \(-0.863057\pi\) |
0.00182090 | + | 0.999998i | \(0.499420\pi\) | |||||||
\(948\) | 1.36576 | + | 9.49907i | 0.0443578 | + | 0.308515i | ||||
\(949\) | 39.0480 | + | 25.0946i | 1.26755 | + | 0.814605i | ||||
\(950\) | −7.35625 | + | 16.1079i | −0.238668 | + | 0.522611i | ||||
\(951\) | 2.07406 | − | 2.39360i | 0.0672562 | − | 0.0776177i | ||||
\(952\) | 2.05960 | − | 14.3248i | 0.0667520 | − | 0.464270i | ||||
\(953\) | −4.78885 | − | 10.4861i | −0.155126 | − | 0.339679i | 0.816073 | − | 0.577949i | \(-0.196147\pi\) |
−0.971199 | + | 0.238271i | \(0.923420\pi\) | |||||||
\(954\) | 26.3059 | + | 7.72409i | 0.851683 | + | 0.250077i | ||||
\(955\) | −11.8600 | − | 3.48241i | −0.383780 | − | 0.112688i | ||||
\(956\) | 4.68194 | + | 10.2520i | 0.151425 | + | 0.331574i | ||||
\(957\) | 0.729308 | − | 5.07245i | 0.0235752 | − | 0.163969i | ||||
\(958\) | 18.6453 | − | 21.5178i | 0.602402 | − | 0.695209i | ||||
\(959\) | −7.13151 | + | 15.6158i | −0.230288 | + | 0.504261i | ||||
\(960\) | 25.7865 | + | 16.5720i | 0.832256 | + | 0.534858i | ||||
\(961\) | −1.99241 | − | 13.8575i | −0.0642712 | − | 0.447016i | ||||
\(962\) | 13.2146 | − | 8.49250i | 0.426055 | − | 0.273809i | ||||
\(963\) | −17.5718 | − | 20.2789i | −0.566242 | − | 0.653478i | ||||
\(964\) | 10.1549 | − | 2.98174i | 0.327067 | − | 0.0960355i | ||||
\(965\) | −25.7082 | −0.827576 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −39.5410 | −1.27155 | −0.635777 | − | 0.771873i | \(-0.719320\pi\) | ||||
−0.635777 | + | 0.771873i | \(0.719320\pi\) | |||||||
\(968\) | 22.3483 | − | 6.56206i | 0.718302 | − | 0.210913i | ||||
\(969\) | 15.3345 | + | 17.6969i | 0.492615 | + | 0.568508i | ||||
\(970\) | 18.9048 | − | 12.1494i | 0.606995 | − | 0.390092i | ||||
\(971\) | 1.07133 | + | 7.45124i | 0.0343805 | + | 0.239122i | 0.999764 | − | 0.0217120i | \(-0.00691167\pi\) |
−0.965384 | + | 0.260834i | \(0.916003\pi\) | |||||||
\(972\) | −9.30067 | − | 5.97718i | −0.298319 | − | 0.191718i | ||||
\(973\) | 1.39061 | − | 3.04502i | 0.0445810 | − | 0.0976187i | ||||
\(974\) | −1.36877 | + | 1.57965i | −0.0438582 | + | 0.0506151i | ||||
\(975\) | −5.22412 | + | 36.3346i | −0.167306 | + | 1.16364i | ||||
\(976\) | 22.0688 | + | 48.3238i | 0.706404 | + | 1.54681i | ||||
\(977\) | −52.4387 | − | 15.3974i | −1.67766 | − | 0.492606i | −0.702053 | − | 0.712124i | \(-0.747733\pi\) |
−0.975608 | + | 0.219519i | \(0.929551\pi\) | |||||||
\(978\) | −35.5343 | − | 10.4338i | −1.13626 | − | 0.333636i | ||||
\(979\) | 0.484866 | + | 1.06171i | 0.0154964 | + | 0.0339323i | ||||
\(980\) | 1.55753 | − | 10.8329i | 0.0497535 | − | 0.346043i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −26.6526 | + | 58.3611i | −0.850520 | + | 1.86238i | ||||
\(983\) | 26.5229 | + | 17.0453i | 0.845950 | + | 0.543659i | 0.890309 | − | 0.455357i | \(-0.150488\pi\) |
−0.0443591 | + | 0.999016i | \(0.514125\pi\) | |||||||
\(984\) | −3.89383 | − | 27.0822i | −0.124131 | − | 0.863349i | ||||
\(985\) | 20.3418 | − | 13.0729i | 0.648144 | − | 0.416537i | ||||
\(986\) | 16.6442 | + | 19.2084i | 0.530060 | + | 0.611721i | ||||
\(987\) | −5.92999 | + | 1.74120i | −0.188754 | + | 0.0554231i | ||||
\(988\) | 3.70820 | 0.117974 | ||||||||
\(989\) | 0 | 0 | ||||||||
\(990\) | −8.00000 | −0.254257 | ||||||||
\(991\) | −23.0278 | + | 6.76158i | −0.731503 | + | 0.214789i | −0.626212 | − | 0.779653i | \(-0.715396\pi\) |
−0.105291 | + | 0.994441i | \(0.533577\pi\) | |||||||
\(992\) | 14.8568 | + | 17.1456i | 0.471703 | + | 0.544374i | ||||
\(993\) | 21.9195 | − | 14.0868i | 0.695593 | − | 0.447031i | ||||
\(994\) | 2.20985 | + | 15.3698i | 0.0700920 | + | 0.487501i | ||||
\(995\) | 69.9868 | + | 44.9778i | 2.21873 | + | 1.42589i | ||||
\(996\) | 7.59869 | − | 16.6388i | 0.240774 | − | 0.527221i | ||||
\(997\) | 24.1204 | − | 27.8364i | 0.763900 | − | 0.881587i | −0.231938 | − | 0.972731i | \(-0.574507\pi\) |
0.995838 | + | 0.0911434i | \(0.0290522\pi\) | |||||||
\(998\) | 7.53173 | − | 52.3843i | 0.238413 | − | 1.65820i | ||||
\(999\) | 3.00597 | + | 6.58216i | 0.0951047 | + | 0.208250i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))