Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(165,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, 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("637.165");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.h (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - x^{11} + 7x^{10} - 2x^{9} + 33x^{8} - 11x^{7} + 55x^{6} + 17x^{5} + 47x^{4} + x^{3} + 8x^{2} + x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 91) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 471.6 | ||
Root | \(0.217953 + 0.377506i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 637.471 |
Dual form | 637.2.h.l.165.6 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.85816 | 1.31392 | 0.656959 | − | 0.753926i | \(-0.271842\pi\) | ||||
0.656959 | + | 0.753926i | \(0.271842\pi\) | |||||||
\(3\) | 1.14703 | − | 1.98672i | 0.662240 | − | 1.14703i | −0.317785 | − | 0.948163i | \(-0.602939\pi\) |
0.980026 | − | 0.198871i | \(-0.0637276\pi\) | |||||||
\(4\) | 1.45276 | 0.726381 | ||||||||
\(5\) | −0.0986811 | + | 0.170921i | −0.0441315 | + | 0.0764381i | −0.887247 | − | 0.461294i | \(-0.847385\pi\) |
0.843116 | + | 0.537732i | \(0.180719\pi\) | |||||||
\(6\) | 2.13137 | − | 3.69165i | 0.870130 | − | 1.50711i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −1.01686 | −0.359513 | ||||||||
\(9\) | −1.13137 | − | 1.95960i | −0.377125 | − | 0.653199i | ||||
\(10\) | −0.183365 | + | 0.317598i | −0.0579852 | + | 0.100433i | ||||
\(11\) | 2.09137 | − | 3.62236i | 0.630571 | − | 1.09218i | −0.356864 | − | 0.934156i | \(-0.616154\pi\) |
0.987435 | − | 0.158025i | \(-0.0505127\pi\) | |||||||
\(12\) | 1.66637 | − | 2.88623i | 0.481039 | − | 0.833184i | ||||
\(13\) | 2.72221 | − | 2.36423i | 0.755005 | − | 0.655719i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.226381 | + | 0.392104i | 0.0584514 | + | 0.101241i | ||||
\(16\) | −4.79501 | −1.19875 | ||||||||
\(17\) | −0.841305 | −0.204047 | −0.102023 | − | 0.994782i | \(-0.532532\pi\) | ||||
−0.102023 | + | 0.994782i | \(0.532532\pi\) | |||||||
\(18\) | −2.10227 | − | 3.64125i | −0.495511 | − | 0.858250i | ||||
\(19\) | 0.675876 | + | 1.17065i | 0.155057 | + | 0.268566i | 0.933080 | − | 0.359670i | \(-0.117111\pi\) |
−0.778023 | + | 0.628236i | \(0.783777\pi\) | |||||||
\(20\) | −0.143360 | + | 0.248307i | −0.0320563 | + | 0.0555232i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 3.88610 | − | 6.73092i | 0.828519 | − | 1.43504i | ||||
\(23\) | −4.11519 | −0.858077 | −0.429038 | − | 0.903286i | \(-0.641147\pi\) | ||||
−0.429038 | + | 0.903286i | \(0.641147\pi\) | |||||||
\(24\) | −1.16637 | + | 2.02021i | −0.238084 | + | 0.412373i | ||||
\(25\) | 2.48052 | + | 4.29639i | 0.496105 | + | 0.859279i | ||||
\(26\) | 5.05830 | − | 4.39312i | 0.992015 | − | 0.861561i | ||||
\(27\) | 1.69131 | 0.325492 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 4.11931 | + | 7.13485i | 0.764936 | + | 1.32491i | 0.940280 | + | 0.340401i | \(0.110563\pi\) |
−0.175344 | + | 0.984507i | \(0.556104\pi\) | |||||||
\(30\) | 0.420653 | + | 0.728592i | 0.0768003 | + | 0.133022i | ||||
\(31\) | −0.640350 | − | 1.10912i | −0.115010 | − | 0.199203i | 0.802774 | − | 0.596284i | \(-0.203357\pi\) |
−0.917784 | + | 0.397080i | \(0.870023\pi\) | |||||||
\(32\) | −6.87618 | −1.21555 | ||||||||
\(33\) | −4.79774 | − | 8.30993i | −0.835180 | − | 1.44657i | ||||
\(34\) | −1.56328 | −0.268100 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −1.64362 | − | 2.84683i | −0.273936 | − | 0.474471i | ||||
\(37\) | 3.04485 | 0.500570 | 0.250285 | − | 0.968172i | \(-0.419476\pi\) | ||||
0.250285 | + | 0.968172i | \(0.419476\pi\) | |||||||
\(38\) | 1.25589 | + | 2.17526i | 0.203732 | + | 0.352874i | ||||
\(39\) | −1.57459 | − | 8.12012i | −0.252137 | − | 1.30026i | ||||
\(40\) | 0.100344 | − | 0.173802i | 0.0158659 | − | 0.0274805i | ||||
\(41\) | 2.69848 | + | 4.67390i | 0.421431 | + | 0.729941i | 0.996080 | − | 0.0884599i | \(-0.0281945\pi\) |
−0.574648 | + | 0.818400i | \(0.694861\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.66389 | + | 4.61399i | −0.406239 | + | 0.703627i | −0.994465 | − | 0.105070i | \(-0.966493\pi\) |
0.588226 | + | 0.808697i | \(0.299827\pi\) | |||||||
\(44\) | 3.03826 | − | 5.26242i | 0.458035 | − | 0.793340i | ||||
\(45\) | 0.446581 | 0.0665724 | ||||||||
\(46\) | −7.64669 | −1.12744 | ||||||||
\(47\) | −5.83204 | + | 10.1014i | −0.850690 | + | 1.47344i | 0.0298969 | + | 0.999553i | \(0.490482\pi\) |
−0.880587 | + | 0.473885i | \(0.842851\pi\) | |||||||
\(48\) | −5.50003 | + | 9.52634i | −0.793862 | + | 1.37501i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 4.60921 | + | 7.98339i | 0.651841 | + | 1.12902i | ||||
\(51\) | −0.965006 | + | 1.67144i | −0.135128 | + | 0.234048i | ||||
\(52\) | 3.95472 | − | 3.43466i | 0.548422 | − | 0.476302i | ||||
\(53\) | −2.32398 | − | 4.02525i | −0.319223 | − | 0.552911i | 0.661103 | − | 0.750295i | \(-0.270089\pi\) |
−0.980326 | + | 0.197384i | \(0.936755\pi\) | |||||||
\(54\) | 3.14272 | 0.427670 | ||||||||
\(55\) | 0.412757 | + | 0.714916i | 0.0556562 | + | 0.0963993i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 3.10101 | 0.410739 | ||||||||
\(58\) | 7.65434 | + | 13.2577i | 1.00506 | + | 1.74082i | ||||
\(59\) | −6.05811 | −0.788698 | −0.394349 | − | 0.918961i | \(-0.629030\pi\) | ||||
−0.394349 | + | 0.918961i | \(0.629030\pi\) | |||||||
\(60\) | 0.328878 | + | 0.569634i | 0.0424580 | + | 0.0735394i | ||||
\(61\) | −5.68285 | − | 9.84298i | −0.727614 | − | 1.26026i | −0.957889 | − | 0.287139i | \(-0.907296\pi\) |
0.230275 | − | 0.973126i | \(-0.426038\pi\) | |||||||
\(62\) | −1.18987 | − | 2.06092i | −0.151114 | − | 0.261737i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −3.18704 | −0.398380 | ||||||||
\(65\) | 0.135465 | + | 0.698587i | 0.0168023 | + | 0.0866490i | ||||
\(66\) | −8.91498 | − | 15.4412i | −1.09736 | − | 1.90068i | ||||
\(67\) | −6.69851 | + | 11.6022i | −0.818354 | + | 1.41743i | 0.0885411 | + | 0.996073i | \(0.471780\pi\) |
−0.906895 | + | 0.421357i | \(0.861554\pi\) | |||||||
\(68\) | −1.22222 | −0.148216 | ||||||||
\(69\) | −4.72026 | + | 8.17574i | −0.568253 | + | 0.984243i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 2.98520 | − | 5.17051i | 0.354278 | − | 0.613627i | −0.632716 | − | 0.774384i | \(-0.718060\pi\) |
0.986994 | + | 0.160757i | \(0.0513934\pi\) | |||||||
\(72\) | 1.15044 | + | 1.99263i | 0.135581 | + | 0.234833i | ||||
\(73\) | 1.94273 | + | 3.36491i | 0.227380 | + | 0.393833i | 0.957031 | − | 0.289986i | \(-0.0936508\pi\) |
−0.729651 | + | 0.683820i | \(0.760317\pi\) | |||||||
\(74\) | 5.65782 | 0.657708 | ||||||||
\(75\) | 11.3810 | 1.31416 | ||||||||
\(76\) | 0.981887 | + | 1.70068i | 0.112630 | + | 0.195081i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −2.92585 | − | 15.0885i | −0.331287 | − | 1.70844i | ||||
\(79\) | 5.36669 | − | 9.29537i | 0.603799 | − | 1.04581i | −0.388441 | − | 0.921474i | \(-0.626986\pi\) |
0.992240 | − | 0.124337i | \(-0.0396805\pi\) | |||||||
\(80\) | 0.473177 | − | 0.819566i | 0.0529028 | − | 0.0916303i | ||||
\(81\) | 5.33411 | − | 9.23895i | 0.592679 | − | 1.02655i | ||||
\(82\) | 5.01421 | + | 8.68486i | 0.553726 | + | 0.959082i | ||||
\(83\) | −3.07390 | −0.337404 | −0.168702 | − | 0.985667i | \(-0.553958\pi\) | ||||
−0.168702 | + | 0.985667i | \(0.553958\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.0830210 | − | 0.143797i | 0.00900489 | − | 0.0155969i | ||||
\(86\) | −4.94994 | + | 8.57354i | −0.533765 | + | 0.924509i | ||||
\(87\) | 18.8999 | 2.02629 | ||||||||
\(88\) | −2.12662 | + | 3.68341i | −0.226698 | + | 0.392653i | ||||
\(89\) | 11.9841 | 1.27032 | 0.635159 | − | 0.772382i | \(-0.280935\pi\) | ||||
0.635159 | + | 0.772382i | \(0.280935\pi\) | |||||||
\(90\) | 0.829819 | 0.0874706 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −5.97840 | −0.623291 | ||||||||
\(93\) | −2.93801 | −0.304658 | ||||||||
\(94\) | −10.8369 | + | 18.7700i | −1.11774 | + | 1.93598i | ||||
\(95\) | −0.266785 | −0.0273715 | ||||||||
\(96\) | −7.88721 | + | 13.6611i | −0.804986 | + | 1.39428i | ||||
\(97\) | 9.73637 | − | 16.8639i | 0.988578 | − | 1.71227i | 0.363771 | − | 0.931488i | \(-0.381489\pi\) |
0.624807 | − | 0.780779i | \(-0.285178\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −9.46448 | −0.951216 | ||||||||
\(100\) | 3.60361 | + | 6.24164i | 0.360361 | + | 0.624164i | ||||
\(101\) | −8.46697 | + | 14.6652i | −0.842495 | + | 1.45924i | 0.0452843 | + | 0.998974i | \(0.485581\pi\) |
−0.887779 | + | 0.460270i | \(0.847753\pi\) | |||||||
\(102\) | −1.79314 | + | 3.10580i | −0.177547 | + | 0.307520i | ||||
\(103\) | −3.61712 | + | 6.26504i | −0.356406 | + | 0.617313i | −0.987357 | − | 0.158509i | \(-0.949331\pi\) |
0.630952 | + | 0.775822i | \(0.282665\pi\) | |||||||
\(104\) | −2.76809 | + | 2.40408i | −0.271434 | + | 0.235739i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −4.31833 | − | 7.47957i | −0.419434 | − | 0.726480i | ||||
\(107\) | −9.85249 | −0.952477 | −0.476238 | − | 0.879316i | \(-0.658000\pi\) | ||||
−0.476238 | + | 0.879316i | \(0.658000\pi\) | |||||||
\(108\) | 2.45707 | 0.236431 | ||||||||
\(109\) | 6.90796 | + | 11.9649i | 0.661662 | + | 1.14603i | 0.980179 | + | 0.198115i | \(0.0634821\pi\) |
−0.318516 | + | 0.947917i | \(0.603185\pi\) | |||||||
\(110\) | 0.766969 | + | 1.32843i | 0.0731277 | + | 0.126661i | ||||
\(111\) | 3.49255 | − | 6.04927i | 0.331498 | − | 0.574171i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 2.13432 | − | 3.69675i | 0.200780 | − | 0.347761i | −0.748000 | − | 0.663699i | \(-0.768986\pi\) |
0.948780 | + | 0.315938i | \(0.102319\pi\) | |||||||
\(114\) | 5.76218 | 0.539677 | ||||||||
\(115\) | 0.406092 | − | 0.703371i | 0.0378682 | − | 0.0655897i | ||||
\(116\) | 5.98437 | + | 10.3652i | 0.555635 | + | 0.962388i | ||||
\(117\) | −7.71277 | − | 2.65961i | −0.713046 | − | 0.245881i | ||||
\(118\) | −11.2569 | −1.03629 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −0.230197 | − | 0.398713i | −0.0210140 | − | 0.0363973i | ||||
\(121\) | −3.24765 | − | 5.62509i | −0.295240 | − | 0.511372i | ||||
\(122\) | −10.5596 | − | 18.2898i | −0.956026 | − | 1.65589i | ||||
\(123\) | 12.3810 | 1.11636 | ||||||||
\(124\) | −0.930276 | − | 1.61129i | −0.0835412 | − | 0.144698i | ||||
\(125\) | −1.96593 | −0.175839 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.09512 | + | 1.89680i | 0.0971761 | + | 0.168314i | 0.910515 | − | 0.413477i | \(-0.135686\pi\) |
−0.813339 | + | 0.581791i | \(0.802352\pi\) | |||||||
\(128\) | 7.83033 | 0.692110 | ||||||||
\(129\) | 6.11114 | + | 10.5848i | 0.538056 | + | 0.931941i | ||||
\(130\) | 0.251715 | + | 1.29809i | 0.0220769 | + | 0.113850i | ||||
\(131\) | 1.13806 | − | 1.97117i | 0.0994326 | − | 0.172222i | −0.812017 | − | 0.583633i | \(-0.801631\pi\) |
0.911450 | + | 0.411411i | \(0.134964\pi\) | |||||||
\(132\) | −6.96998 | − | 12.0724i | −0.606659 | − | 1.05076i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −12.4469 | + | 21.5587i | −1.07525 | + | 1.86239i | ||||
\(135\) | −0.166900 | + | 0.289079i | −0.0143645 | + | 0.0248800i | ||||
\(136\) | 0.855486 | 0.0733573 | ||||||||
\(137\) | 13.4480 | 1.14894 | 0.574469 | − | 0.818526i | \(-0.305209\pi\) | ||||
0.574469 | + | 0.818526i | \(0.305209\pi\) | |||||||
\(138\) | −8.77101 | + | 15.1918i | −0.746638 | + | 1.29321i | ||||
\(139\) | 2.02270 | − | 3.50342i | 0.171563 | − | 0.297156i | −0.767403 | − | 0.641165i | \(-0.778452\pi\) |
0.938966 | + | 0.344009i | \(0.111785\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 13.3791 | + | 23.1733i | 1.12672 | + | 1.95154i | ||||
\(142\) | 5.54698 | − | 9.60765i | 0.465492 | − | 0.806256i | ||||
\(143\) | −2.87093 | − | 14.8053i | −0.240079 | − | 1.23808i | ||||
\(144\) | 5.42494 | + | 9.39628i | 0.452079 | + | 0.783023i | ||||
\(145\) | −1.62599 | −0.135031 | ||||||||
\(146\) | 3.60991 | + | 6.25255i | 0.298758 | + | 0.517465i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 4.42344 | 0.363605 | ||||||||
\(149\) | −7.67596 | − | 13.2952i | −0.628840 | − | 1.08918i | −0.987785 | − | 0.155823i | \(-0.950197\pi\) |
0.358945 | − | 0.933359i | \(-0.383136\pi\) | |||||||
\(150\) | 21.1477 | 1.72670 | ||||||||
\(151\) | −3.06054 | − | 5.30101i | −0.249063 | − | 0.431390i | 0.714203 | − | 0.699939i | \(-0.246789\pi\) |
−0.963266 | + | 0.268548i | \(0.913456\pi\) | |||||||
\(152\) | −0.687268 | − | 1.19038i | −0.0557448 | − | 0.0965528i | ||||
\(153\) | 0.951831 | + | 1.64862i | 0.0769510 | + | 0.133283i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.252762 | 0.0203023 | ||||||||
\(156\) | −2.28751 | − | 11.7966i | −0.183147 | − | 0.944484i | ||||
\(157\) | 2.26834 | + | 3.92888i | 0.181033 | + | 0.313559i | 0.942233 | − | 0.334959i | \(-0.108722\pi\) |
−0.761199 | + | 0.648518i | \(0.775389\pi\) | |||||||
\(158\) | 9.97217 | − | 17.2723i | 0.793343 | − | 1.37411i | ||||
\(159\) | −10.6627 | −0.845611 | ||||||||
\(160\) | 0.678549 | − | 1.17528i | 0.0536440 | − | 0.0929142i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 9.91163 | − | 17.1674i | 0.778731 | − | 1.34880i | ||||
\(163\) | −0.911271 | − | 1.57837i | −0.0713762 | − | 0.123627i | 0.828128 | − | 0.560538i | \(-0.189406\pi\) |
−0.899505 | + | 0.436911i | \(0.856072\pi\) | |||||||
\(164\) | 3.92025 | + | 6.79007i | 0.306120 | + | 0.530215i | ||||
\(165\) | 1.89379 | 0.147431 | ||||||||
\(166\) | −5.71180 | −0.443322 | ||||||||
\(167\) | −5.35397 | − | 9.27336i | −0.414303 | − | 0.717594i | 0.581052 | − | 0.813866i | \(-0.302641\pi\) |
−0.995355 | + | 0.0962726i | \(0.969308\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.82086 | − | 12.8718i | 0.140066 | − | 0.990142i | ||||
\(170\) | 0.154266 | − | 0.267197i | 0.0118317 | − | 0.0204931i | ||||
\(171\) | 1.52934 | − | 2.64889i | 0.116951 | − | 0.202566i | ||||
\(172\) | −3.87000 | + | 6.70303i | −0.295085 | + | 0.511102i | ||||
\(173\) | −6.74634 | − | 11.6850i | −0.512915 | − | 0.888395i | −0.999888 | − | 0.0149778i | \(-0.995232\pi\) |
0.486973 | − | 0.873417i | \(-0.338101\pi\) | |||||||
\(174\) | 35.1191 | 2.66237 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −10.0281 | + | 17.3692i | −0.755898 | + | 1.30925i | ||||
\(177\) | −6.94886 | + | 12.0358i | −0.522308 | + | 0.904664i | ||||
\(178\) | 22.2685 | 1.66909 | ||||||||
\(179\) | −5.23458 | + | 9.06657i | −0.391251 | + | 0.677667i | −0.992615 | − | 0.121309i | \(-0.961291\pi\) |
0.601364 | + | 0.798975i | \(0.294624\pi\) | |||||||
\(180\) | 0.648776 | 0.0483569 | ||||||||
\(181\) | −12.5209 | −0.930674 | −0.465337 | − | 0.885133i | \(-0.654067\pi\) | ||||
−0.465337 | + | 0.885133i | \(0.654067\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −26.0737 | −1.92742 | ||||||||
\(184\) | 4.18455 | 0.308489 | ||||||||
\(185\) | −0.300469 | + | 0.520428i | −0.0220909 | + | 0.0382626i | ||||
\(186\) | −5.45930 | −0.400295 | ||||||||
\(187\) | −1.75948 | + | 3.04751i | −0.128666 | + | 0.222856i | ||||
\(188\) | −8.47256 | + | 14.6749i | −0.617925 | + | 1.07028i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.495729 | −0.0359640 | ||||||||
\(191\) | −6.55685 | − | 11.3568i | −0.474437 | − | 0.821749i | 0.525135 | − | 0.851019i | \(-0.324015\pi\) |
−0.999572 | + | 0.0292704i | \(0.990682\pi\) | |||||||
\(192\) | −3.65565 | + | 6.33176i | −0.263823 | + | 0.456956i | ||||
\(193\) | −0.520786 | + | 0.902028i | −0.0374870 | + | 0.0649294i | −0.884160 | − | 0.467184i | \(-0.845269\pi\) |
0.846673 | + | 0.532113i | \(0.178602\pi\) | |||||||
\(194\) | 18.0917 | − | 31.3358i | 1.29891 | − | 2.24978i | ||||
\(195\) | 1.54328 | + | 0.532172i | 0.110517 | + | 0.0381096i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −0.739167 | − | 1.28027i | −0.0526635 | − | 0.0912158i | 0.838492 | − | 0.544914i | \(-0.183438\pi\) |
−0.891155 | + | 0.453698i | \(0.850104\pi\) | |||||||
\(198\) | −17.5865 | −1.24982 | ||||||||
\(199\) | −14.0999 | −0.999512 | −0.499756 | − | 0.866166i | \(-0.666577\pi\) | ||||
−0.499756 | + | 0.866166i | \(0.666577\pi\) | |||||||
\(200\) | −2.52233 | − | 4.36881i | −0.178356 | − | 0.308922i | ||||
\(201\) | 15.3668 | + | 26.6162i | 1.08389 | + | 1.87736i | ||||
\(202\) | −15.7330 | + | 27.2503i | −1.10697 | + | 1.91733i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −1.40192 | + | 2.42820i | −0.0981543 | + | 0.170008i | ||||
\(205\) | −1.06516 | −0.0743937 | ||||||||
\(206\) | −6.72120 | + | 11.6415i | −0.468288 | + | 0.811099i | ||||
\(207\) | 4.65582 | + | 8.06412i | 0.323602 | + | 0.560495i | ||||
\(208\) | −13.0530 | + | 11.3365i | −0.905064 | + | 0.786044i | ||||
\(209\) | 5.65402 | 0.391097 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −13.2346 | − | 22.9230i | −0.911108 | − | 1.57809i | −0.812501 | − | 0.582959i | \(-0.801895\pi\) |
−0.0986067 | − | 0.995126i | \(-0.531439\pi\) | |||||||
\(212\) | −3.37619 | − | 5.84774i | −0.231878 | − | 0.401624i | ||||
\(213\) | −6.84825 | − | 11.8615i | −0.469234 | − | 0.812737i | ||||
\(214\) | −18.3075 | −1.25148 | ||||||||
\(215\) | −0.525751 | − | 0.910628i | −0.0358559 | − | 0.0621043i | ||||
\(216\) | −1.71981 | −0.117019 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 12.8361 | + | 22.2328i | 0.869370 | + | 1.50579i | ||||
\(219\) | 8.91352 | 0.602320 | ||||||||
\(220\) | 0.599638 | + | 1.03860i | 0.0404276 | + | 0.0700227i | ||||
\(221\) | −2.29021 | + | 1.98904i | −0.154056 | + | 0.133797i | ||||
\(222\) | 6.48971 | − | 11.2405i | 0.435561 | − | 0.754414i | ||||
\(223\) | −0.364024 | − | 0.630508i | −0.0243769 | − | 0.0422219i | 0.853580 | − | 0.520962i | \(-0.174427\pi\) |
−0.877956 | + | 0.478740i | \(0.841093\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 5.61280 | − | 9.72165i | 0.374187 | − | 0.648110i | ||||
\(226\) | 3.96591 | − | 6.86916i | 0.263808 | − | 0.456929i | ||||
\(227\) | 2.85195 | 0.189291 | 0.0946454 | − | 0.995511i | \(-0.469828\pi\) | ||||
0.0946454 | + | 0.995511i | \(0.469828\pi\) | |||||||
\(228\) | 4.50503 | 0.298353 | ||||||||
\(229\) | 1.58676 | − | 2.74835i | 0.104856 | − | 0.181616i | −0.808823 | − | 0.588052i | \(-0.799895\pi\) |
0.913679 | + | 0.406436i | \(0.133228\pi\) | |||||||
\(230\) | 0.754584 | − | 1.30698i | 0.0497558 | − | 0.0861795i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −4.18874 | − | 7.25511i | −0.275004 | − | 0.476321i | ||||
\(233\) | −6.70354 | + | 11.6109i | −0.439163 | + | 0.760653i | −0.997625 | − | 0.0688769i | \(-0.978058\pi\) |
0.558462 | + | 0.829530i | \(0.311392\pi\) | |||||||
\(234\) | −14.3316 | − | 4.94198i | −0.936884 | − | 0.323068i | ||||
\(235\) | −1.15102 | − | 1.99363i | −0.0750845 | − | 0.130050i | ||||
\(236\) | −8.80099 | −0.572896 | ||||||||
\(237\) | −12.3115 | − | 21.3242i | −0.799721 | − | 1.38516i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −15.5538 | −1.00609 | −0.503046 | − | 0.864259i | \(-0.667788\pi\) | ||||
−0.503046 | + | 0.864259i | \(0.667788\pi\) | |||||||
\(240\) | −1.08550 | − | 1.88014i | −0.0700687 | − | 0.121363i | ||||
\(241\) | 7.57574 | 0.487996 | 0.243998 | − | 0.969776i | \(-0.421541\pi\) | ||||
0.243998 | + | 0.969776i | \(0.421541\pi\) | |||||||
\(242\) | −6.03465 | − | 10.4523i | −0.387922 | − | 0.671900i | ||||
\(243\) | −9.69985 | − | 16.8006i | −0.622245 | − | 1.07776i | ||||
\(244\) | −8.25583 | − | 14.2995i | −0.528525 | − | 0.915433i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 23.0059 | 1.46680 | ||||||||
\(247\) | 4.60756 | + | 1.58883i | 0.293172 | + | 0.101095i | ||||
\(248\) | 0.651143 | + | 1.12781i | 0.0413476 | + | 0.0716162i | ||||
\(249\) | −3.52587 | + | 6.10698i | −0.223443 | + | 0.387014i | ||||
\(250\) | −3.65302 | −0.231038 | ||||||||
\(251\) | 0.637382 | − | 1.10398i | 0.0402312 | − | 0.0696825i | −0.845209 | − | 0.534436i | \(-0.820524\pi\) |
0.885440 | + | 0.464754i | \(0.153857\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −8.60638 | + | 14.9067i | −0.541079 | + | 0.937176i | ||||
\(254\) | 2.03491 | + | 3.52456i | 0.127682 | + | 0.221151i | ||||
\(255\) | −0.190456 | − | 0.329879i | −0.0119268 | − | 0.0206578i | ||||
\(256\) | 20.9241 | 1.30776 | ||||||||
\(257\) | 8.48019 | 0.528980 | 0.264490 | − | 0.964388i | \(-0.414796\pi\) | ||||
0.264490 | + | 0.964388i | \(0.414796\pi\) | |||||||
\(258\) | 11.3555 | + | 19.6683i | 0.706962 | + | 1.22449i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0.196798 | + | 1.01488i | 0.0122049 | + | 0.0629402i | ||||
\(261\) | 9.32095 | − | 16.1444i | 0.576952 | − | 0.999311i | ||||
\(262\) | 2.11470 | − | 3.66276i | 0.130646 | − | 0.226286i | ||||
\(263\) | −6.39415 | + | 11.0750i | −0.394280 | + | 0.682913i | −0.993009 | − | 0.118038i | \(-0.962339\pi\) |
0.598729 | + | 0.800952i | \(0.295673\pi\) | |||||||
\(264\) | 4.87861 | + | 8.45000i | 0.300258 | + | 0.520062i | ||||
\(265\) | 0.917333 | 0.0563513 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 13.7462 | − | 23.8092i | 0.841255 | − | 1.45710i | ||||
\(268\) | −9.73135 | + | 16.8552i | −0.594437 | + | 1.02959i | ||||
\(269\) | 4.71172 | 0.287278 | 0.143639 | − | 0.989630i | \(-0.454120\pi\) | ||||
0.143639 | + | 0.989630i | \(0.454120\pi\) | |||||||
\(270\) | −0.310127 | + | 0.537156i | −0.0188737 | + | 0.0326903i | ||||
\(271\) | 18.0112 | 1.09410 | 0.547052 | − | 0.837098i | \(-0.315750\pi\) | ||||
0.547052 | + | 0.837098i | \(0.315750\pi\) | |||||||
\(272\) | 4.03407 | 0.244601 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 24.9885 | 1.50961 | ||||||||
\(275\) | 20.7508 | 1.25132 | ||||||||
\(276\) | −6.85742 | + | 11.8774i | −0.412768 | + | 0.714936i | ||||
\(277\) | −26.1209 | −1.56945 | −0.784725 | − | 0.619844i | \(-0.787196\pi\) | ||||
−0.784725 | + | 0.619844i | \(0.787196\pi\) | |||||||
\(278\) | 3.75850 | − | 6.50991i | 0.225420 | − | 0.390439i | ||||
\(279\) | −1.44895 | + | 2.50965i | −0.0867463 | + | 0.150249i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −3.66197 | −0.218455 | −0.109227 | − | 0.994017i | \(-0.534838\pi\) | ||||
−0.109227 | + | 0.994017i | \(0.534838\pi\) | |||||||
\(282\) | 24.8605 | + | 43.0596i | 1.48042 | + | 2.56416i | ||||
\(283\) | 3.82263 | − | 6.62099i | 0.227232 | − | 0.393577i | −0.729755 | − | 0.683709i | \(-0.760366\pi\) |
0.956987 | + | 0.290132i | \(0.0936991\pi\) | |||||||
\(284\) | 4.33678 | − | 7.51153i | 0.257341 | − | 0.445727i | ||||
\(285\) | −0.306011 | + | 0.530027i | −0.0181265 | + | 0.0313961i | ||||
\(286\) | −5.33465 | − | 27.5106i | −0.315445 | − | 1.62674i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 7.77953 | + | 13.4745i | 0.458413 | + | 0.793995i | ||||
\(289\) | −16.2922 | −0.958365 | ||||||||
\(290\) | −3.02135 | −0.177420 | ||||||||
\(291\) | −22.3359 | − | 38.6869i | −1.30935 | − | 2.26787i | ||||
\(292\) | 2.82233 | + | 4.88842i | 0.165164 | + | 0.286073i | ||||
\(293\) | −8.57670 | + | 14.8553i | −0.501056 | + | 0.867855i | 0.498943 | + | 0.866635i | \(0.333722\pi\) |
−0.999999 | + | 0.00122001i | \(0.999612\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.597821 | − | 1.03546i | 0.0348065 | − | 0.0602866i | ||||
\(296\) | −3.09617 | −0.179961 | ||||||||
\(297\) | 3.53715 | − | 6.12652i | 0.205246 | − | 0.355497i | ||||
\(298\) | −14.2632 | − | 24.7045i | −0.826244 | − | 1.43110i | ||||
\(299\) | −11.2024 | + | 9.72925i | −0.647852 | + | 0.562657i | ||||
\(300\) | 16.5339 | 0.954583 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −5.68698 | − | 9.85014i | −0.327249 | − | 0.566812i | ||||
\(303\) | 19.4238 | + | 33.6430i | 1.11587 | + | 1.93274i | ||||
\(304\) | −3.24083 | − | 5.61328i | −0.185874 | − | 0.321944i | ||||
\(305\) | 2.24316 | 0.128443 | ||||||||
\(306\) | 1.76866 | + | 3.06340i | 0.101107 | + | 0.175123i | ||||
\(307\) | 28.0696 | 1.60201 | 0.801007 | − | 0.598655i | \(-0.204298\pi\) | ||||
0.801007 | + | 0.598655i | \(0.204298\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 8.29793 | + | 14.3724i | 0.472052 | + | 0.817619i | ||||
\(310\) | 0.469672 | 0.0266756 | ||||||||
\(311\) | −11.7670 | − | 20.3811i | −0.667248 | − | 1.15571i | −0.978671 | − | 0.205436i | \(-0.934139\pi\) |
0.311423 | − | 0.950271i | \(-0.399194\pi\) | |||||||
\(312\) | 1.60113 | + | 8.25699i | 0.0906464 | + | 0.467460i | ||||
\(313\) | −1.67430 | + | 2.89997i | −0.0946370 | + | 0.163916i | −0.909457 | − | 0.415798i | \(-0.863502\pi\) |
0.814820 | + | 0.579714i | \(0.196836\pi\) | |||||||
\(314\) | 4.21494 | + | 7.30050i | 0.237863 | + | 0.411991i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 7.79652 | − | 13.5040i | 0.438588 | − | 0.759658i | ||||
\(317\) | 3.63917 | − | 6.30323i | 0.204396 | − | 0.354025i | −0.745544 | − | 0.666456i | \(-0.767810\pi\) |
0.949940 | + | 0.312432i | \(0.101144\pi\) | |||||||
\(318\) | −19.8131 | −1.11106 | ||||||||
\(319\) | 34.4600 | 1.92939 | ||||||||
\(320\) | 0.314501 | − | 0.544732i | 0.0175811 | − | 0.0304514i | ||||
\(321\) | −11.3011 | + | 19.5742i | −0.630768 | + | 1.09252i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −0.568618 | − | 0.984875i | −0.0316388 | − | 0.0547999i | ||||
\(324\) | 7.74919 | − | 13.4220i | 0.430511 | − | 0.745666i | ||||
\(325\) | 16.9102 | + | 5.83116i | 0.938007 | + | 0.323455i | ||||
\(326\) | −1.69329 | − | 2.93286i | −0.0937826 | − | 0.162436i | ||||
\(327\) | 31.6946 | 1.75272 | ||||||||
\(328\) | −2.74396 | − | 4.75268i | −0.151510 | − | 0.262423i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 3.51896 | 0.193712 | ||||||||
\(331\) | 7.16168 | + | 12.4044i | 0.393642 | + | 0.681807i | 0.992927 | − | 0.118728i | \(-0.0378818\pi\) |
−0.599285 | + | 0.800536i | \(0.704548\pi\) | |||||||
\(332\) | −4.46564 | −0.245084 | ||||||||
\(333\) | −3.44486 | − | 5.96668i | −0.188777 | − | 0.326972i | ||||
\(334\) | −9.94855 | − | 17.2314i | −0.544360 | − | 0.942860i | ||||
\(335\) | −1.32203 | − | 2.28983i | −0.0722304 | − | 0.125107i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 17.1802 | 0.935868 | 0.467934 | − | 0.883764i | \(-0.344999\pi\) | ||||
0.467934 | + | 0.883764i | \(0.344999\pi\) | |||||||
\(338\) | 3.38344 | − | 23.9180i | 0.184035 | − | 1.30097i | ||||
\(339\) | −4.89627 | − | 8.48060i | −0.265929 | − | 0.460603i | ||||
\(340\) | 0.120610 | − | 0.208902i | 0.00654098 | − | 0.0113293i | ||||
\(341\) | −5.35683 | −0.290089 | ||||||||
\(342\) | 2.84175 | − | 4.92206i | 0.153664 | − | 0.266155i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 2.70879 | − | 4.69176i | 0.146048 | − | 0.252963i | ||||
\(345\) | −0.931602 | − | 1.61358i | −0.0501558 | − | 0.0868723i | ||||
\(346\) | −12.5358 | − | 21.7126i | −0.673928 | − | 1.16728i | ||||
\(347\) | −7.70278 | −0.413507 | −0.206753 | − | 0.978393i | \(-0.566290\pi\) | ||||
−0.206753 | + | 0.978393i | \(0.566290\pi\) | |||||||
\(348\) | 27.4571 | 1.47186 | ||||||||
\(349\) | 11.1850 | + | 19.3730i | 0.598721 | + | 1.03702i | 0.993010 | + | 0.118029i | \(0.0376575\pi\) |
−0.394289 | + | 0.918986i | \(0.629009\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 4.60409 | − | 3.99863i | 0.245748 | − | 0.213431i | ||||
\(352\) | −14.3806 | + | 24.9080i | −0.766490 | + | 1.32760i | ||||
\(353\) | −11.1311 | + | 19.2797i | −0.592451 | + | 1.02616i | 0.401450 | + | 0.915881i | \(0.368506\pi\) |
−0.993901 | + | 0.110275i | \(0.964827\pi\) | |||||||
\(354\) | −12.9121 | + | 22.3644i | −0.686270 | + | 1.18865i | ||||
\(355\) | 0.589165 | + | 1.02046i | 0.0312697 | + | 0.0541606i | ||||
\(356\) | 17.4101 | 0.922735 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −9.72670 | + | 16.8471i | −0.514072 | + | 0.890399i | ||||
\(359\) | 1.37921 | − | 2.38887i | 0.0727920 | − | 0.126079i | −0.827332 | − | 0.561713i | \(-0.810142\pi\) |
0.900124 | + | 0.435634i | \(0.143476\pi\) | |||||||
\(360\) | −0.454108 | −0.0239336 | ||||||||
\(361\) | 8.58638 | − | 14.8721i | 0.451915 | − | 0.782740i | ||||
\(362\) | −23.2659 | −1.22283 | ||||||||
\(363\) | −14.9006 | −0.782081 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −0.766844 | −0.0401385 | ||||||||
\(366\) | −48.4491 | −2.53248 | ||||||||
\(367\) | −7.07485 | + | 12.2540i | −0.369304 | + | 0.639654i | −0.989457 | − | 0.144827i | \(-0.953737\pi\) |
0.620153 | + | 0.784481i | \(0.287071\pi\) | |||||||
\(368\) | 19.7324 | 1.02862 | ||||||||
\(369\) | 6.10597 | − | 10.5759i | 0.317864 | − | 0.550557i | ||||
\(370\) | −0.558320 | + | 0.967039i | −0.0290257 | + | 0.0502740i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −4.26823 | −0.221298 | ||||||||
\(373\) | 2.52142 | + | 4.36723i | 0.130554 | + | 0.226127i | 0.923890 | − | 0.382657i | \(-0.124991\pi\) |
−0.793336 | + | 0.608784i | \(0.791658\pi\) | |||||||
\(374\) | −3.26940 | + | 5.66276i | −0.169056 | + | 0.292814i | ||||
\(375\) | −2.25499 | + | 3.90576i | −0.116447 | + | 0.201693i | ||||
\(376\) | 5.93034 | − | 10.2716i | 0.305834 | − | 0.529720i | ||||
\(377\) | 28.0820 | + | 9.68358i | 1.44630 | + | 0.498730i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 3.02982 | + | 5.24780i | 0.155631 | + | 0.269561i | 0.933289 | − | 0.359127i | \(-0.116925\pi\) |
−0.777657 | + | 0.628688i | \(0.783592\pi\) | |||||||
\(380\) | −0.387575 | −0.0198822 | ||||||||
\(381\) | 5.02456 | 0.257416 | ||||||||
\(382\) | −12.1837 | − | 21.1028i | −0.623371 | − | 1.07971i | ||||
\(383\) | −2.27052 | − | 3.93266i | −0.116018 | − | 0.200950i | 0.802168 | − | 0.597098i | \(-0.203680\pi\) |
−0.918186 | + | 0.396149i | \(0.870346\pi\) | |||||||
\(384\) | 8.98165 | − | 15.5567i | 0.458343 | − | 0.793873i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −0.967705 | + | 1.67611i | −0.0492549 | + | 0.0853120i | ||||
\(387\) | 12.0554 | 0.612811 | ||||||||
\(388\) | 14.1446 | − | 24.4992i | 0.718085 | − | 1.24376i | ||||
\(389\) | −2.25383 | − | 3.90374i | −0.114273 | − | 0.197927i | 0.803216 | − | 0.595688i | \(-0.203121\pi\) |
−0.917489 | + | 0.397761i | \(0.869787\pi\) | |||||||
\(390\) | 2.86766 | + | 0.988862i | 0.145210 | + | 0.0500730i | ||||
\(391\) | 3.46213 | 0.175088 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −2.61078 | − | 4.52201i | −0.131697 | − | 0.228105i | ||||
\(394\) | −1.37349 | − | 2.37896i | −0.0691955 | − | 0.119850i | ||||
\(395\) | 1.05918 | + | 1.83456i | 0.0532932 | + | 0.0923065i | ||||
\(396\) | −13.7496 | −0.690945 | ||||||||
\(397\) | 2.00174 | + | 3.46712i | 0.100465 | + | 0.174010i | 0.911876 | − | 0.410465i | \(-0.134634\pi\) |
−0.811412 | + | 0.584475i | \(0.801300\pi\) | |||||||
\(398\) | −26.1998 | −1.31328 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −11.8941 | − | 20.6012i | −0.594706 | − | 1.03006i | ||||
\(401\) | 12.6135 | 0.629887 | 0.314944 | − | 0.949110i | \(-0.398014\pi\) | ||||
0.314944 | + | 0.949110i | \(0.398014\pi\) | |||||||
\(402\) | 28.5541 | + | 49.4571i | 1.42415 | + | 2.46670i | ||||
\(403\) | −4.36537 | − | 1.50532i | −0.217455 | − | 0.0749853i | ||||
\(404\) | −12.3005 | + | 21.3051i | −0.611972 | + | 1.05997i | ||||
\(405\) | 1.05275 | + | 1.82342i | 0.0523116 | + | 0.0906064i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 6.36790 | − | 11.0295i | 0.315645 | − | 0.546713i | ||||
\(408\) | 0.981272 | − | 1.69961i | 0.0485802 | − | 0.0841434i | ||||
\(409\) | −20.6952 | −1.02331 | −0.511657 | − | 0.859190i | \(-0.670968\pi\) | ||||
−0.511657 | + | 0.859190i | \(0.670968\pi\) | |||||||
\(410\) | −1.97923 | −0.0977472 | ||||||||
\(411\) | 15.4253 | − | 26.7174i | 0.760873 | − | 1.31787i | ||||
\(412\) | −5.25482 | + | 9.10162i | −0.258886 | + | 0.448404i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 8.65126 | + | 14.9844i | 0.425186 | + | 0.736444i | ||||
\(415\) | 0.303336 | − | 0.525393i | 0.0148902 | − | 0.0257905i | ||||
\(416\) | −18.7184 | + | 16.2569i | −0.917746 | + | 0.797058i | ||||
\(417\) | −4.64021 | − | 8.03708i | −0.227232 | − | 0.393577i | ||||
\(418\) | 10.5061 | 0.513869 | ||||||||
\(419\) | −10.9088 | − | 18.8945i | −0.532928 | − | 0.923058i | −0.999261 | − | 0.0384484i | \(-0.987758\pi\) |
0.466333 | − | 0.884609i | \(-0.345575\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 9.42727 | 0.459457 | 0.229728 | − | 0.973255i | \(-0.426216\pi\) | ||||
0.229728 | + | 0.973255i | \(0.426216\pi\) | |||||||
\(422\) | −24.5920 | − | 42.5947i | −1.19712 | − | 2.07348i | ||||
\(423\) | 26.3928 | 1.28326 | ||||||||
\(424\) | 2.36315 | + | 4.09310i | 0.114765 | + | 0.198779i | ||||
\(425\) | −2.08688 | − | 3.61458i | −0.101228 | − | 0.175333i | ||||
\(426\) | −12.7251 | − | 22.0406i | −0.616535 | − | 1.06787i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −14.3133 | −0.691861 | ||||||||
\(429\) | −32.7070 | − | 11.2784i | −1.57911 | − | 0.544528i | ||||
\(430\) | −0.976930 | − | 1.69209i | −0.0471118 | − | 0.0816000i | ||||
\(431\) | −10.2138 | + | 17.6908i | −0.491980 | + | 0.852134i | −0.999957 | − | 0.00923613i | \(-0.997060\pi\) |
0.507977 | + | 0.861370i | \(0.330393\pi\) | |||||||
\(432\) | −8.10983 | −0.390184 | ||||||||
\(433\) | 13.1743 | − | 22.8186i | 0.633117 | − | 1.09659i | −0.353794 | − | 0.935323i | \(-0.615109\pi\) |
0.986911 | − | 0.161267i | \(-0.0515581\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.86507 | + | 3.23039i | −0.0894231 | + | 0.154885i | ||||
\(436\) | 10.0356 | + | 17.3822i | 0.480619 | + | 0.832457i | ||||
\(437\) | −2.78136 | − | 4.81745i | −0.133050 | − | 0.230450i | ||||
\(438\) | 16.5628 | 0.791399 | ||||||||
\(439\) | −25.1310 | −1.19944 | −0.599720 | − | 0.800210i | \(-0.704721\pi\) | ||||
−0.599720 | + | 0.800210i | \(0.704721\pi\) | |||||||
\(440\) | −0.419714 | − | 0.726967i | −0.0200091 | − | 0.0346568i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −4.25558 | + | 3.69595i | −0.202417 | + | 0.175799i | ||||
\(443\) | −9.25995 | + | 16.0387i | −0.439953 | + | 0.762022i | −0.997685 | − | 0.0679994i | \(-0.978338\pi\) |
0.557732 | + | 0.830021i | \(0.311672\pi\) | |||||||
\(444\) | 5.07384 | − | 8.78815i | 0.240794 | − | 0.417067i | ||||
\(445\) | −1.18261 | + | 2.04834i | −0.0560611 | + | 0.0971006i | ||||
\(446\) | −0.676415 | − | 1.17159i | −0.0320292 | − | 0.0554762i | ||||
\(447\) | −35.2184 | −1.66577 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −5.82155 | + | 10.0832i | −0.274736 | + | 0.475856i | −0.970068 | − | 0.242832i | \(-0.921924\pi\) |
0.695333 | + | 0.718688i | \(0.255257\pi\) | |||||||
\(450\) | 10.4295 | − | 18.0644i | 0.491651 | − | 0.851564i | ||||
\(451\) | 22.5740 | 1.06297 | ||||||||
\(452\) | 3.10066 | − | 5.37050i | 0.145843 | − | 0.252607i | ||||
\(453\) | −14.0422 | −0.659759 | ||||||||
\(454\) | 5.29939 | 0.248713 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −3.15328 | −0.147666 | ||||||||
\(457\) | 20.5184 | 0.959812 | 0.479906 | − | 0.877320i | \(-0.340671\pi\) | ||||
0.479906 | + | 0.877320i | \(0.340671\pi\) | |||||||
\(458\) | 2.94845 | − | 5.10687i | 0.137772 | − | 0.238629i | ||||
\(459\) | −1.42291 | −0.0664156 | ||||||||
\(460\) | 0.589955 | − | 1.02183i | 0.0275068 | − | 0.0476431i | ||||
\(461\) | 1.02038 | − | 1.76734i | 0.0475236 | − | 0.0823134i | −0.841285 | − | 0.540592i | \(-0.818200\pi\) |
0.888809 | + | 0.458278i | \(0.151534\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 3.03155 | 0.140888 | 0.0704441 | − | 0.997516i | \(-0.477558\pi\) | ||||
0.0704441 | + | 0.997516i | \(0.477558\pi\) | |||||||
\(464\) | −19.7521 | − | 34.2116i | −0.916968 | − | 1.58824i | ||||
\(465\) | 0.289926 | − | 0.502167i | 0.0134450 | − | 0.0232874i | ||||
\(466\) | −12.4563 | + | 21.5749i | −0.577025 | + | 0.999436i | ||||
\(467\) | −6.46371 | + | 11.1955i | −0.299105 | + | 0.518065i | −0.975931 | − | 0.218078i | \(-0.930021\pi\) |
0.676827 | + | 0.736142i | \(0.263355\pi\) | |||||||
\(468\) | −11.2048 | − | 3.86378i | −0.517943 | − | 0.178603i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −2.13879 | − | 3.70449i | −0.0986549 | − | 0.170875i | ||||
\(471\) | 10.4075 | 0.479550 | ||||||||
\(472\) | 6.16022 | 0.283547 | ||||||||
\(473\) | 11.1423 | + | 19.2991i | 0.512326 | + | 0.887374i | ||||
\(474\) | −22.8768 | − | 39.6238i | −1.05077 | − | 1.81998i | ||||
\(475\) | −3.35305 | + | 5.80766i | −0.153849 | + | 0.266474i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −5.25858 | + | 9.10814i | −0.240774 | + | 0.417033i | ||||
\(478\) | −28.9015 | −1.32192 | ||||||||
\(479\) | 18.2911 | − | 31.6810i | 0.835740 | − | 1.44754i | −0.0576873 | − | 0.998335i | \(-0.518373\pi\) |
0.893427 | − | 0.449209i | \(-0.148294\pi\) | |||||||
\(480\) | −1.55664 | − | 2.69618i | −0.0710505 | − | 0.123063i | ||||
\(481\) | 8.28872 | − | 7.19872i | 0.377933 | − | 0.328233i | ||||
\(482\) | 14.0769 | 0.641187 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −4.71806 | − | 8.17191i | −0.214457 | − | 0.371451i | ||||
\(485\) | 1.92159 | + | 3.32829i | 0.0872550 | + | 0.151130i | ||||
\(486\) | −18.0239 | − | 31.2183i | −0.817580 | − | 1.41609i | ||||
\(487\) | 36.7496 | 1.66528 | 0.832642 | − | 0.553812i | \(-0.186827\pi\) | ||||
0.832642 | + | 0.553812i | \(0.186827\pi\) | |||||||
\(488\) | 5.77864 | + | 10.0089i | 0.261587 | + | 0.453081i | ||||
\(489\) | −4.18103 | −0.189073 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 4.09899 | + | 7.09965i | 0.184985 | + | 0.320403i | 0.943571 | − | 0.331169i | \(-0.107443\pi\) |
−0.758587 | + | 0.651572i | \(0.774110\pi\) | |||||||
\(492\) | 17.9866 | 0.810900 | ||||||||
\(493\) | −3.46560 | − | 6.00259i | −0.156083 | − | 0.270343i | ||||
\(494\) | 8.56159 | + | 2.95231i | 0.385204 | + | 0.132831i | ||||
\(495\) | 0.933965 | − | 1.61768i | 0.0419786 | − | 0.0727091i | ||||
\(496\) | 3.07048 | + | 5.31823i | 0.137869 | + | 0.238795i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −6.55163 | + | 11.3478i | −0.293585 | + | 0.508505i | ||||
\(499\) | 21.6266 | − | 37.4584i | 0.968141 | − | 1.67687i | 0.267211 | − | 0.963638i | \(-0.413898\pi\) |
0.700929 | − | 0.713231i | \(-0.252769\pi\) | |||||||
\(500\) | −2.85604 | −0.127726 | ||||||||
\(501\) | −24.5648 | −1.09747 | ||||||||
\(502\) | 1.18436 | − | 2.05137i | 0.0528605 | − | 0.0915571i | ||||
\(503\) | 0.00909609 | − | 0.0157549i | 0.000405575 | − | 0.000702476i | −0.865823 | − | 0.500351i | \(-0.833204\pi\) |
0.866228 | + | 0.499649i | \(0.166538\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −1.67106 | − | 2.89436i | −0.0743612 | − | 0.128797i | ||||
\(506\) | −15.9920 | + | 27.6990i | −0.710933 | + | 1.23137i | ||||
\(507\) | −23.4842 | − | 18.3820i | −1.04297 | − | 0.816372i | ||||
\(508\) | 1.59095 | + | 2.75560i | 0.0705869 | + | 0.122260i | ||||
\(509\) | −43.1006 | −1.91040 | −0.955200 | − | 0.295960i | \(-0.904361\pi\) | ||||
−0.955200 | + | 0.295960i | \(0.904361\pi\) | |||||||
\(510\) | −0.353897 | − | 0.612968i | −0.0156708 | − | 0.0271427i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 23.2197 | 1.02617 | ||||||||
\(513\) | 1.14311 | + | 1.97993i | 0.0504697 | + | 0.0874161i | ||||
\(514\) | 15.7576 | 0.695036 | ||||||||
\(515\) | −0.713884 | − | 1.23648i | −0.0314575 | − | 0.0544859i | ||||
\(516\) | 8.87804 | + | 15.3772i | 0.390834 | + | 0.676944i | ||||
\(517\) | 24.3939 | + | 42.2514i | 1.07284 | + | 1.85822i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −30.9531 | −1.35869 | ||||||||
\(520\) | −0.137748 | − | 0.710362i | −0.00604065 | − | 0.0311514i | ||||
\(521\) | 10.4770 | + | 18.1467i | 0.459006 | + | 0.795022i | 0.998909 | − | 0.0467056i | \(-0.0148723\pi\) |
−0.539903 | + | 0.841727i | \(0.681539\pi\) | |||||||
\(522\) | 17.3198 | − | 29.9988i | 0.758068 | − | 1.31301i | ||||
\(523\) | 34.7403 | 1.51909 | 0.759543 | − | 0.650457i | \(-0.225423\pi\) | ||||
0.759543 | + | 0.650457i | \(0.225423\pi\) | |||||||
\(524\) | 1.65333 | − | 2.86365i | 0.0722260 | − | 0.125099i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −11.8814 | + | 20.5791i | −0.518052 | + | 0.897292i | ||||
\(527\) | 0.538730 | + | 0.933107i | 0.0234674 | + | 0.0406468i | ||||
\(528\) | 23.0052 | + | 39.8462i | 1.00117 | + | 1.73408i | ||||
\(529\) | −6.06520 | −0.263704 | ||||||||
\(530\) | 1.70455 | 0.0740410 | ||||||||
\(531\) | 6.85398 | + | 11.8714i | 0.297438 | + | 0.515177i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 18.3960 | + | 6.34352i | 0.796819 | + | 0.274769i | ||||
\(534\) | 25.5427 | − | 44.2413i | 1.10534 | − | 1.91451i | ||||
\(535\) | 0.972255 | − | 1.68400i | 0.0420343 | − | 0.0728055i | ||||
\(536\) | 6.81142 | − | 11.7977i | 0.294209 | − | 0.509584i | ||||
\(537\) | 12.0085 | + | 20.7993i | 0.518205 | + | 0.897557i | ||||
\(538\) | 8.75513 | 0.377460 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −0.242466 | + | 0.419964i | −0.0104341 | + | 0.0180724i | ||||
\(541\) | 1.64923 | − | 2.85655i | 0.0709059 | − | 0.122813i | −0.828393 | − | 0.560148i | \(-0.810744\pi\) |
0.899299 | + | 0.437335i | \(0.144078\pi\) | |||||||
\(542\) | 33.4678 | 1.43756 | ||||||||
\(543\) | −14.3619 | + | 24.8756i | −0.616330 | + | 1.06752i | ||||
\(544\) | 5.78497 | 0.248029 | ||||||||
\(545\) | −2.72674 | −0.116801 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 21.9417 | 0.938161 | 0.469080 | − | 0.883155i | \(-0.344585\pi\) | ||||
0.469080 | + | 0.883155i | \(0.344585\pi\) | |||||||
\(548\) | 19.5367 | 0.834567 | ||||||||
\(549\) | −12.8589 | + | 22.2722i | −0.548803 | + | 0.950554i | ||||
\(550\) | 38.5583 | 1.64413 | ||||||||
\(551\) | −5.56828 | + | 9.64455i | −0.237217 | + | 0.410871i | ||||
\(552\) | 4.79983 | − | 8.31354i | 0.204294 | − | 0.353848i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −48.5368 | −2.06213 | ||||||||
\(555\) | 0.689297 | + | 1.19390i | 0.0292590 | + | 0.0506781i | ||||
\(556\) | 2.93850 | − | 5.08963i | 0.124620 | − | 0.215848i | ||||
\(557\) | 7.14329 | − | 12.3725i | 0.302671 | − | 0.524241i | −0.674069 | − | 0.738668i | \(-0.735455\pi\) |
0.976740 | + | 0.214427i | \(0.0687884\pi\) | |||||||
\(558\) | −2.69238 | + | 4.66334i | −0.113978 | + | 0.197415i | ||||
\(559\) | 3.65686 | + | 18.8583i | 0.154669 | + | 0.797621i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 4.03637 | + | 6.99119i | 0.170416 | + | 0.295168i | ||||
\(562\) | −6.80453 | −0.287032 | ||||||||
\(563\) | −6.78784 | −0.286073 | −0.143037 | − | 0.989717i | \(-0.545687\pi\) | ||||
−0.143037 | + | 0.989717i | \(0.545687\pi\) | |||||||
\(564\) | 19.4366 | + | 33.6652i | 0.818430 | + | 1.41756i | ||||
\(565\) | 0.421234 | + | 0.729599i | 0.0177215 | + | 0.0306945i | ||||
\(566\) | 7.10307 | − | 12.3029i | 0.298564 | − | 0.517128i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −3.03552 | + | 5.25767i | −0.127367 | + | 0.220607i | ||||
\(569\) | −17.3212 | −0.726143 | −0.363072 | − | 0.931761i | \(-0.618272\pi\) | ||||
−0.363072 | + | 0.931761i | \(0.618272\pi\) | |||||||
\(570\) | −0.568618 | + | 0.984875i | −0.0238168 | + | 0.0412519i | ||||
\(571\) | 6.50581 | + | 11.2684i | 0.272260 | + | 0.471568i | 0.969440 | − | 0.245328i | \(-0.0788957\pi\) |
−0.697180 | + | 0.716896i | \(0.745562\pi\) | |||||||
\(572\) | −4.17078 | − | 21.5086i | −0.174389 | − | 0.899318i | ||||
\(573\) | −30.0837 | −1.25676 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −10.2078 | − | 17.6805i | −0.425696 | − | 0.737327i | ||||
\(576\) | 3.60574 | + | 6.24532i | 0.150239 | + | 0.260222i | ||||
\(577\) | −0.365767 | − | 0.633528i | −0.0152271 | − | 0.0263741i | 0.858311 | − | 0.513129i | \(-0.171514\pi\) |
−0.873539 | + | 0.486755i | \(0.838180\pi\) | |||||||
\(578\) | −30.2735 | −1.25921 | ||||||||
\(579\) | 1.19472 | + | 2.06931i | 0.0496508 | + | 0.0859978i | ||||
\(580\) | −2.36218 | −0.0980842 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −41.5037 | − | 71.8865i | −1.72038 | − | 2.97979i | ||||
\(583\) | −19.4412 | −0.805173 | ||||||||
\(584\) | −1.97548 | − | 3.42163i | −0.0817459 | − | 0.141588i | ||||
\(585\) | 1.21569 | − | 1.05582i | 0.0502625 | − | 0.0436527i | ||||
\(586\) | −15.9369 | + | 27.6035i | −0.658347 | + | 1.14029i | ||||
\(587\) | −4.26142 | − | 7.38099i | −0.175888 | − | 0.304646i | 0.764581 | − | 0.644528i | \(-0.222946\pi\) |
−0.940468 | + | 0.339882i | \(0.889613\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.865594 | − | 1.49925i | 0.0356662 | − | 0.0617756i | ||||
\(590\) | 1.11085 | − | 1.92404i | 0.0457329 | − | 0.0792117i | ||||
\(591\) | −3.39140 | −0.139503 | ||||||||
\(592\) | −14.6001 | −0.600059 | ||||||||
\(593\) | −15.6547 | + | 27.1147i | −0.642860 | + | 1.11347i | 0.341932 | + | 0.939725i | \(0.388919\pi\) |
−0.984791 | + | 0.173741i | \(0.944415\pi\) | |||||||
\(594\) | 6.57259 | − | 11.3841i | 0.269677 | − | 0.467093i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −11.1514 | − | 19.3147i | −0.456777 | − | 0.791161i | ||||
\(597\) | −16.1730 | + | 28.0125i | −0.661917 | + | 1.14647i | ||||
\(598\) | −20.8159 | + | 18.0785i | −0.851225 | + | 0.739285i | ||||
\(599\) | 0.375116 | + | 0.649720i | 0.0153268 | + | 0.0265468i | 0.873587 | − | 0.486668i | \(-0.161788\pi\) |
−0.858260 | + | 0.513215i | \(0.828454\pi\) | |||||||
\(600\) | −11.5728 | −0.472458 | ||||||||
\(601\) | −4.77652 | − | 8.27318i | −0.194838 | − | 0.337470i | 0.752009 | − | 0.659153i | \(-0.229085\pi\) |
−0.946848 | + | 0.321683i | \(0.895752\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 30.3141 | 1.23449 | ||||||||
\(604\) | −4.44624 | − | 7.70111i | −0.180915 | − | 0.313354i | ||||
\(605\) | 1.28193 | 0.0521177 | ||||||||
\(606\) | 36.0925 | + | 62.5141i | 1.46616 | + | 2.53946i | ||||
\(607\) | 11.1197 | + | 19.2599i | 0.451336 | + | 0.781737i | 0.998469 | − | 0.0553087i | \(-0.0176143\pi\) |
−0.547133 | + | 0.837045i | \(0.684281\pi\) | |||||||
\(608\) | −4.64745 | − | 8.04961i | −0.188479 | − | 0.326455i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 4.16815 | 0.168764 | ||||||||
\(611\) | 8.00594 | + | 41.2863i | 0.323886 | + | 1.67027i | ||||
\(612\) | 1.38278 | + | 2.39505i | 0.0558957 | + | 0.0968143i | ||||
\(613\) | 4.13993 | − | 7.17057i | 0.167210 | − | 0.289617i | −0.770228 | − | 0.637769i | \(-0.779857\pi\) |
0.937438 | + | 0.348152i | \(0.113191\pi\) | |||||||
\(614\) | 52.1578 | 2.10492 | ||||||||
\(615\) | −1.22177 | + | 2.11617i | −0.0492665 | + | 0.0853321i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −10.1656 | + | 17.6073i | −0.409252 | + | 0.708845i | −0.994806 | − | 0.101789i | \(-0.967543\pi\) |
0.585554 | + | 0.810633i | \(0.300877\pi\) | |||||||
\(618\) | 15.4189 | + | 26.7063i | 0.620238 | + | 1.07428i | ||||
\(619\) | 2.67049 | + | 4.62542i | 0.107336 | + | 0.185911i | 0.914690 | − | 0.404156i | \(-0.132435\pi\) |
−0.807354 | + | 0.590067i | \(0.799101\pi\) | |||||||
\(620\) | 0.367203 | 0.0147472 | ||||||||
\(621\) | −6.96005 | −0.279297 | ||||||||
\(622\) | −21.8651 | − | 37.8714i | −0.876709 | − | 1.51850i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 7.55018 | + | 38.9360i | 0.302249 | + | 1.55869i | ||||
\(625\) | −12.2086 | + | 21.1459i | −0.488345 | + | 0.845838i | ||||
\(626\) | −3.11112 | + | 5.38862i | −0.124345 | + | 0.215372i | ||||
\(627\) | 6.48536 | − | 11.2330i | 0.259000 | − | 0.448601i | ||||
\(628\) | 3.29536 | + | 5.70773i | 0.131499 | + | 0.227763i | ||||
\(629\) | −2.56165 | −0.102140 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −3.23331 | + | 5.60026i | −0.128716 | + | 0.222943i | −0.923179 | − | 0.384369i | \(-0.874419\pi\) |
0.794463 | + | 0.607312i | \(0.207752\pi\) | |||||||
\(632\) | −5.45714 | + | 9.45205i | −0.217074 | + | 0.375982i | ||||
\(633\) | −60.7222 | −2.41349 | ||||||||
\(634\) | 6.76217 | − | 11.7124i | 0.268560 | − | 0.465160i | ||||
\(635\) | −0.432271 | −0.0171541 | ||||||||
\(636\) | −15.4904 | −0.614236 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 64.0322 | 2.53506 | ||||||||
\(639\) | −13.5095 | −0.534428 | ||||||||
\(640\) | −0.772706 | + | 1.33837i | −0.0305439 | + | 0.0529035i | ||||
\(641\) | 23.3289 | 0.921434 | 0.460717 | − | 0.887547i | \(-0.347592\pi\) | ||||
0.460717 | + | 0.887547i | \(0.347592\pi\) | |||||||
\(642\) | −20.9993 | + | 36.3719i | −0.828778 | + | 1.43549i | ||||
\(643\) | −1.79439 | + | 3.10797i | −0.0707637 | + | 0.122566i | −0.899236 | − | 0.437463i | \(-0.855877\pi\) |
0.828472 | + | 0.560030i | \(0.189210\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −2.41222 | −0.0949810 | ||||||||
\(646\) | −1.05658 | − | 1.83006i | −0.0415707 | − | 0.0720026i | ||||
\(647\) | −19.8262 | + | 34.3400i | −0.779448 | + | 1.35004i | 0.152812 | + | 0.988255i | \(0.451167\pi\) |
−0.932260 | + | 0.361788i | \(0.882166\pi\) | |||||||
\(648\) | −5.42402 | + | 9.39467i | −0.213076 | + | 0.369058i | ||||
\(649\) | −12.6697 | + | 21.9446i | −0.497331 | + | 0.861402i | ||||
\(650\) | 31.4218 | + | 10.8352i | 1.23246 | + | 0.424993i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.32386 | − | 2.29299i | −0.0518464 | − | 0.0898005i | ||||
\(653\) | 18.1355 | 0.709699 | 0.354849 | − | 0.934923i | \(-0.384532\pi\) | ||||
0.354849 | + | 0.934923i | \(0.384532\pi\) | |||||||
\(654\) | 58.8938 | 2.30293 | ||||||||
\(655\) | 0.224610 | + | 0.389035i | 0.00877623 | + | 0.0152009i | ||||
\(656\) | −12.9392 | − | 22.4114i | −0.505192 | − | 0.875017i | ||||
\(657\) | 4.39592 | − | 7.61395i | 0.171501 | − | 0.297048i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −6.74052 | + | 11.6749i | −0.262573 | + | 0.454791i | −0.966925 | − | 0.255061i | \(-0.917905\pi\) |
0.704352 | + | 0.709851i | \(0.251238\pi\) | |||||||
\(660\) | 2.75122 | 0.107091 | ||||||||
\(661\) | 5.15611 | − | 8.93064i | 0.200549 | − | 0.347362i | −0.748156 | − | 0.663523i | \(-0.769061\pi\) |
0.948706 | + | 0.316161i | \(0.102394\pi\) | |||||||
\(662\) | 13.3076 | + | 23.0494i | 0.517213 | + | 0.895839i | ||||
\(663\) | 1.32471 | + | 6.83150i | 0.0514476 | + | 0.265314i | ||||
\(664\) | 3.12571 | 0.121301 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −6.40111 | − | 11.0870i | −0.248038 | − | 0.429614i | ||||
\(667\) | −16.9517 | − | 29.3613i | −0.656374 | − | 1.13687i | ||||
\(668\) | −7.77805 | − | 13.4720i | −0.300942 | − | 0.521247i | ||||
\(669\) | −1.67019 | −0.0645733 | ||||||||
\(670\) | −2.45655 | − | 4.25487i | −0.0949049 | − | 0.164380i | ||||
\(671\) | −47.5397 | −1.83525 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 4.61528 | + | 7.99390i | 0.177906 | + | 0.308142i | 0.941163 | − | 0.337953i | \(-0.109734\pi\) |
−0.763257 | + | 0.646095i | \(0.776401\pi\) | |||||||
\(674\) | 31.9237 | 1.22965 | ||||||||
\(675\) | 4.19533 | + | 7.26652i | 0.161478 | + | 0.279689i | ||||
\(676\) | 2.64527 | − | 18.6997i | 0.101741 | − | 0.719221i | ||||
\(677\) | −10.5467 | + | 18.2674i | −0.405343 | + | 0.702075i | −0.994361 | − | 0.106045i | \(-0.966181\pi\) |
0.589018 | + | 0.808120i | \(0.299515\pi\) | |||||||
\(678\) | −9.09807 | − | 15.7583i | −0.349409 | − | 0.605194i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −0.0844203 | + | 0.146220i | −0.00323737 | + | 0.00560729i | ||||
\(681\) | 3.27129 | − | 5.66604i | 0.125356 | − | 0.217123i | ||||
\(682\) | −9.95385 | −0.381153 | ||||||||
\(683\) | −38.2212 | −1.46249 | −0.731246 | − | 0.682113i | \(-0.761061\pi\) | ||||
−0.731246 | + | 0.682113i | \(0.761061\pi\) | |||||||
\(684\) | 2.22176 | − | 3.84821i | 0.0849512 | − | 0.147140i | ||||
\(685\) | −1.32706 | + | 2.29854i | −0.0507044 | + | 0.0878226i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −3.64013 | − | 6.30490i | −0.138880 | − | 0.240547i | ||||
\(688\) | 12.7734 | − | 22.1241i | 0.486980 | − | 0.843474i | ||||
\(689\) | −15.8430 | − | 5.46317i | −0.603570 | − | 0.208130i | ||||
\(690\) | −1.73107 | − | 2.99830i | −0.0659006 | − | 0.114143i | ||||
\(691\) | 26.2322 | 0.997920 | 0.498960 | − | 0.866625i | \(-0.333715\pi\) | ||||
0.498960 | + | 0.866625i | \(0.333715\pi\) | |||||||
\(692\) | −9.80084 | − | 16.9755i | −0.372572 | − | 0.645313i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −14.3130 | −0.543314 | ||||||||
\(695\) | 0.399204 | + | 0.691442i | 0.0151427 | + | 0.0262279i | ||||
\(696\) | −19.2185 | −0.728476 | ||||||||
\(697\) | −2.27024 | − | 3.93218i | −0.0859916 | − | 0.148942i | ||||
\(698\) | 20.7836 | + | 35.9982i | 0.786670 | + | 1.36255i | ||||
\(699\) | 15.3784 | + | 26.6361i | 0.581664 | + | 1.00747i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −46.7346 | −1.76514 | −0.882570 | − | 0.470180i | \(-0.844189\pi\) | ||||
−0.882570 | + | 0.470180i | \(0.844189\pi\) | |||||||
\(702\) | 8.55515 | − | 7.43011i | 0.322893 | − | 0.280431i | ||||
\(703\) | 2.05794 | + | 3.56446i | 0.0776167 | + | 0.134436i | ||||
\(704\) | −6.66528 | + | 11.5446i | −0.251207 | + | 0.435104i | ||||
\(705\) | −5.28105 | −0.198896 | ||||||||
\(706\) | −20.6835 | + | 35.8248i | −0.778433 | + | 1.34828i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −10.0950 | + | 17.4851i | −0.379395 | + | 0.657131i | ||||
\(709\) | 23.7232 | + | 41.0898i | 0.890944 | + | 1.54316i | 0.838745 | + | 0.544524i | \(0.183290\pi\) |
0.0521988 | + | 0.998637i | \(0.483377\pi\) | |||||||
\(710\) | 1.09476 | + | 1.89619i | 0.0410858 | + | 0.0711626i | ||||
\(711\) | −24.2869 | −0.910830 | ||||||||
\(712\) | −12.1861 | −0.456695 | ||||||||
\(713\) | 2.63516 | + | 4.56423i | 0.0986876 | + | 0.170932i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.81384 | + | 0.970301i | 0.105232 | + | 0.0362872i | ||||
\(716\) | −7.60461 | + | 13.1716i | −0.284197 | + | 0.492244i | ||||
\(717\) | −17.8408 | + | 30.9011i | −0.666275 | + | 1.15402i | ||||
\(718\) | 2.56280 | − | 4.43890i | 0.0956428 | − | 0.165658i | ||||
\(719\) | −24.6190 | − | 42.6413i | −0.918133 | − | 1.59025i | −0.802249 | − | 0.596990i | \(-0.796363\pi\) |
−0.115884 | − | 0.993263i | \(-0.536970\pi\) | |||||||
\(720\) | −2.14136 | −0.0798037 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 15.9549 | − | 27.6347i | 0.593779 | − | 1.02846i | ||||
\(723\) | 8.68963 | − | 15.0509i | 0.323171 | − | 0.559748i | ||||
\(724\) | −18.1900 | −0.676024 | ||||||||
\(725\) | −20.4361 | + | 35.3963i | −0.758977 | + | 1.31459i | ||||
\(726\) | −27.6878 | −1.02759 | ||||||||
\(727\) | 32.0495 | 1.18865 | 0.594325 | − | 0.804225i | \(-0.297419\pi\) | ||||
0.594325 | + | 0.804225i | \(0.297419\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −12.4996 | −0.462947 | ||||||||
\(730\) | −1.42492 | −0.0527387 | ||||||||
\(731\) | 2.24114 | − | 3.88178i | 0.0828917 | − | 0.143573i | ||||
\(732\) | −37.8789 | −1.40004 | ||||||||
\(733\) | 14.1005 | − | 24.4228i | 0.520813 | − | 0.902075i | −0.478894 | − | 0.877873i | \(-0.658962\pi\) |
0.999707 | − | 0.0242025i | \(-0.00770464\pi\) | |||||||
\(734\) | −13.1462 | + | 22.7699i | −0.485236 | + | 0.840453i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 28.2968 | 1.04303 | ||||||||
\(737\) | 28.0181 | + | 48.5288i | 1.03206 | + | 1.78758i | ||||
\(738\) | 11.3459 | − | 19.6516i | 0.417648 | − | 0.723387i | ||||
\(739\) | 21.2685 | − | 36.8381i | 0.782375 | − | 1.35511i | −0.148180 | − | 0.988960i | \(-0.547342\pi\) |
0.930555 | − | 0.366153i | \(-0.119325\pi\) | |||||||
\(740\) | −0.436510 | + | 0.756058i | −0.0160464 | + | 0.0277932i | ||||
\(741\) | 8.44160 | − | 7.33149i | 0.310110 | − | 0.269329i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −7.95711 | − | 13.7821i | −0.291918 | − | 0.505617i | 0.682345 | − | 0.731030i | \(-0.260960\pi\) |
−0.974263 | + | 0.225413i | \(0.927627\pi\) | |||||||
\(744\) | 2.98753 | 0.109528 | ||||||||
\(745\) | 3.02989 | 0.111007 | ||||||||
\(746\) | 4.68521 | + | 8.11502i | 0.171538 | + | 0.297112i | ||||
\(747\) | 3.47773 | + | 6.02360i | 0.127243 | + | 0.220392i | ||||
\(748\) | −2.55611 | + | 4.42731i | −0.0934605 | + | 0.161878i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −4.19014 | + | 7.25754i | −0.153002 | + | 0.265008i | ||||
\(751\) | 18.1996 | 0.664114 | 0.332057 | − | 0.943259i | \(-0.392257\pi\) | ||||
0.332057 | + | 0.943259i | \(0.392257\pi\) | |||||||
\(752\) | 27.9646 | − | 48.4362i | 1.01977 | − | 1.76629i | ||||
\(753\) | −1.46220 | − | 2.53260i | −0.0532855 | − | 0.0922931i | ||||
\(754\) | 52.1809 | + | 17.9937i | 1.90032 | + | 0.655290i | ||||
\(755\) | 1.20807 | 0.0439662 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 22.4502 | + | 38.8849i | 0.815967 | + | 1.41330i | 0.908632 | + | 0.417598i | \(0.137128\pi\) |
−0.0926649 | + | 0.995697i | \(0.529539\pi\) | |||||||
\(758\) | 5.62989 | + | 9.75126i | 0.204487 | + | 0.354182i | ||||
\(759\) | 19.7436 | + | 34.1970i | 0.716648 | + | 1.24127i | ||||
\(760\) | 0.271282 | 0.00984042 | ||||||||
\(761\) | −13.2444 | − | 22.9399i | −0.480108 | − | 0.831572i | 0.519631 | − | 0.854391i | \(-0.326069\pi\) |
−0.999740 | + | 0.0228184i | \(0.992736\pi\) | |||||||
\(762\) | 9.33644 | 0.338223 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −9.52554 | − | 16.4987i | −0.344622 | − | 0.596903i | ||||
\(765\) | −0.375711 | −0.0135839 | ||||||||
\(766\) | −4.21900 | − | 7.30752i | −0.152439 | − | 0.264031i | ||||
\(767\) | −16.4914 | + | 14.3227i | −0.595471 | + | 0.517164i | ||||
\(768\) | 24.0006 | − | 41.5703i | 0.866049 | − | 1.50004i | ||||
\(769\) | 6.98127 | + | 12.0919i | 0.251751 | + | 0.436045i | 0.964008 | − | 0.265873i | \(-0.0856603\pi\) |
−0.712257 | + | 0.701919i | \(0.752327\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 9.72707 | − | 16.8478i | 0.350312 | − | 0.606758i | ||||
\(772\) | −0.756579 | + | 1.31043i | −0.0272299 | + | 0.0471635i | ||||
\(773\) | −12.8113 | −0.460790 | −0.230395 | − | 0.973097i | \(-0.574002\pi\) | ||||
−0.230395 | + | 0.973097i | \(0.574002\pi\) | |||||||
\(774\) | 22.4009 | 0.805184 | ||||||||
\(775\) | 3.17681 |