Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(17,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.s (of order \(6\), 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: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 10.0.288778218147.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + 7x^{8} - 4x^{7} + 34x^{6} - 19x^{5} + 64x^{4} - x^{3} + 64x^{2} - 21x + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 89.1 | ||
Root | \(0.827154 + 1.43267i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 189.89 |
Dual form | 189.2.s.b.17.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.81474 | + | 1.04774i | −1.28321 | + | 0.740865i | −0.977435 | − | 0.211238i | \(-0.932251\pi\) |
−0.305780 | + | 0.952102i | \(0.598917\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.19552 | − | 2.07070i | 0.597760 | − | 1.03535i | ||||
\(5\) | 2.08983 | 0.934601 | 0.467300 | − | 0.884099i | \(-0.345227\pi\) | ||||
0.467300 | + | 0.884099i | \(0.345227\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.879217 | − | 2.49539i | −0.332313 | − | 0.943169i | ||||
\(8\) | 0.819421i | 0.289709i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −3.79250 | + | 2.18960i | −1.19929 | + | 0.692412i | ||||
\(11\) | − | 3.22878i | − | 0.973512i | −0.873538 | − | 0.486756i | \(-0.838180\pi\) | ||
0.873538 | − | 0.486756i | \(-0.161820\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.68740 | − | 1.55157i | 0.745350 | − | 0.430328i | −0.0786612 | − | 0.996901i | \(-0.525065\pi\) |
0.824011 | + | 0.566573i | \(0.191731\pi\) | |||||||
\(14\) | 4.21007 | + | 3.60729i | 1.12519 | + | 0.964090i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.53250 | + | 2.65437i | 0.383125 | + | 0.663593i | ||||
\(17\) | 0.816304 | + | 1.41388i | 0.197983 | + | 0.342916i | 0.947874 | − | 0.318645i | \(-0.103228\pi\) |
−0.749891 | + | 0.661561i | \(0.769894\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.79094 | + | 2.76605i | 1.09912 | + | 0.634575i | 0.935989 | − | 0.352030i | \(-0.114509\pi\) |
0.163127 | + | 0.986605i | \(0.447842\pi\) | |||||||
\(20\) | 2.49844 | − | 4.32742i | 0.558667 | − | 0.967640i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 3.38292 | + | 5.85939i | 0.721241 | + | 1.24923i | ||||
\(23\) | − | 1.16078i | − | 0.242040i | −0.992650 | − | 0.121020i | \(-0.961384\pi\) | ||
0.992650 | − | 0.121020i | \(-0.0386165\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.632608 | −0.126522 | ||||||||
\(26\) | −3.25129 | + | 5.63139i | −0.637630 | + | 1.10441i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −6.21834 | − | 1.16270i | −1.17516 | − | 0.219729i | ||||
\(29\) | 7.05749 | + | 4.07464i | 1.31054 | + | 0.756643i | 0.982186 | − | 0.187911i | \(-0.0601717\pi\) |
0.328357 | + | 0.944554i | \(0.393505\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.16886 | − | 2.98424i | −0.928355 | − | 0.535986i | −0.0420638 | − | 0.999115i | \(-0.513393\pi\) |
−0.886291 | + | 0.463129i | \(0.846727\pi\) | |||||||
\(32\) | −6.98146 | − | 4.03075i | −1.23416 | − | 0.712542i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.96276 | − | 1.71055i | −0.508109 | − | 0.293357i | ||||
\(35\) | −1.83741 | − | 5.21495i | −0.310580 | − | 0.881487i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.82656 | − | 4.89575i | 0.464684 | − | 0.804857i | −0.534503 | − | 0.845167i | \(-0.679501\pi\) |
0.999187 | + | 0.0403097i | \(0.0128345\pi\) | |||||||
\(38\) | −11.5924 | −1.88054 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.71245i | 0.270762i | ||||||||
\(41\) | 1.35369 | + | 2.34465i | 0.211410 | + | 0.366173i | 0.952156 | − | 0.305612i | \(-0.0988611\pi\) |
−0.740746 | + | 0.671785i | \(0.765528\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.974903 | + | 1.68858i | −0.148671 | + | 0.257506i | −0.930737 | − | 0.365690i | \(-0.880833\pi\) |
0.782065 | + | 0.623196i | \(0.214166\pi\) | |||||||
\(44\) | −6.68583 | − | 3.86007i | −1.00793 | − | 0.581927i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.21620 | + | 2.10652i | 0.179319 | + | 0.310589i | ||||
\(47\) | −4.06759 | − | 7.04527i | −0.593319 | − | 1.02766i | −0.993782 | − | 0.111346i | \(-0.964484\pi\) |
0.400463 | − | 0.916313i | \(-0.368849\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.45395 | + | 4.38798i | −0.779136 | + | 0.626854i | ||||
\(50\) | 1.14802 | − | 0.662809i | 0.162354 | − | 0.0937353i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | − | 7.41974i | − | 1.02893i | ||||||
\(53\) | −5.27766 | + | 3.04706i | −0.724943 | + | 0.418546i | −0.816569 | − | 0.577248i | \(-0.804127\pi\) |
0.0916264 | + | 0.995793i | \(0.470793\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 6.74759i | − | 0.909845i | ||||||
\(56\) | 2.04477 | − | 0.720448i | 0.273245 | − | 0.0962740i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −17.0767 | −2.24228 | ||||||||
\(59\) | 1.98103 | − | 3.43124i | 0.257908 | − | 0.446709i | −0.707773 | − | 0.706439i | \(-0.750300\pi\) |
0.965681 | + | 0.259730i | \(0.0836336\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.15016 | + | 2.39609i | −0.531373 | + | 0.306788i | −0.741575 | − | 0.670869i | \(-0.765921\pi\) |
0.210202 | + | 0.977658i | \(0.432588\pi\) | |||||||
\(62\) | 12.5068 | 1.58837 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 10.7627 | 1.34534 | ||||||||
\(65\) | 5.61621 | − | 3.24252i | 0.696605 | − | 0.402185i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.336981 | − | 0.583668i | 0.0411687 | − | 0.0713063i | −0.844707 | − | 0.535229i | \(-0.820225\pi\) |
0.885876 | + | 0.463923i | \(0.153559\pi\) | |||||||
\(68\) | 3.90363 | 0.473385 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 8.79834 | + | 7.53864i | 1.05160 | + | 0.901039i | ||||
\(71\) | 7.01535i | 0.832568i | 0.909235 | + | 0.416284i | \(0.136668\pi\) | ||||
−0.909235 | + | 0.416284i | \(0.863332\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.96276 | + | 1.71055i | −0.346765 | + | 0.200205i | −0.663259 | − | 0.748390i | \(-0.730827\pi\) |
0.316495 | + | 0.948594i | \(0.397494\pi\) | |||||||
\(74\) | 11.8460i | 1.37707i | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 11.4553 | − | 6.61374i | 1.31402 | − | 0.758648i | ||||
\(77\) | −8.05706 | + | 2.83879i | −0.918187 | + | 0.323511i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 7.07973 | + | 12.2625i | 0.796532 | + | 1.37963i | 0.921862 | + | 0.387519i | \(0.126668\pi\) |
−0.125330 | + | 0.992115i | \(0.539999\pi\) | |||||||
\(80\) | 3.20267 | + | 5.54718i | 0.358069 | + | 0.620194i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −4.91318 | − | 2.83662i | −0.542570 | − | 0.313253i | ||||
\(83\) | −1.54535 | + | 2.67662i | −0.169624 | + | 0.293798i | −0.938288 | − | 0.345856i | \(-0.887589\pi\) |
0.768664 | + | 0.639653i | \(0.220922\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.70594 | + | 2.95477i | 0.185035 | + | 0.320490i | ||||
\(86\) | − | 4.08578i | − | 0.440581i | ||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.64572 | 0.282035 | ||||||||
\(89\) | 2.45766 | − | 4.25679i | 0.260511 | − | 0.451219i | −0.705867 | − | 0.708345i | \(-0.749442\pi\) |
0.966378 | + | 0.257126i | \(0.0827756\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −6.23458 | − | 5.34194i | −0.653562 | − | 0.559988i | ||||
\(92\) | −2.40363 | − | 1.38774i | −0.250596 | − | 0.144682i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 14.7632 | + | 8.52356i | 1.52271 | + | 0.879138i | ||||
\(95\) | 10.0122 | + | 5.78057i | 1.02723 | + | 0.593074i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.07939 | + | 1.20054i | 0.211130 | + | 0.121896i | 0.601837 | − | 0.798619i | \(-0.294436\pi\) |
−0.390706 | + | 0.920515i | \(0.627769\pi\) | |||||||
\(98\) | 5.30004 | − | 13.6774i | 0.535385 | − | 1.38162i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.756296 | + | 1.30994i | −0.0756296 | + | 0.130994i | ||||
\(101\) | 3.52051 | 0.350304 | 0.175152 | − | 0.984541i | \(-0.443958\pi\) | ||||
0.175152 | + | 0.984541i | \(0.443958\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | − | 15.6846i | − | 1.54545i | −0.634743 | − | 0.772723i | \(-0.718894\pi\) | ||
0.634743 | − | 0.772723i | \(-0.281106\pi\) | |||||||
\(104\) | 1.27139 | + | 2.20211i | 0.124670 | + | 0.215935i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 6.38506 | − | 11.0592i | 0.620172 | − | 1.07417i | ||||
\(107\) | 1.41984 | + | 0.819746i | 0.137261 | + | 0.0792478i | 0.567058 | − | 0.823678i | \(-0.308081\pi\) |
−0.429797 | + | 0.902926i | \(0.641415\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 2.90672 | + | 5.03459i | 0.278414 | + | 0.482227i | 0.970991 | − | 0.239117i | \(-0.0768581\pi\) |
−0.692577 | + | 0.721344i | \(0.743525\pi\) | |||||||
\(110\) | 7.06973 | + | 12.2451i | 0.674072 | + | 1.16753i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 5.27629 | − | 6.15796i | 0.498563 | − | 0.581872i | ||||
\(113\) | −13.9931 | + | 8.07894i | −1.31636 | + | 0.760003i | −0.983142 | − | 0.182845i | \(-0.941469\pi\) |
−0.333222 | + | 0.942848i | \(0.608136\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | − | 2.42584i | − | 0.226210i | ||||||
\(116\) | 16.8748 | − | 9.74265i | 1.56678 | − | 0.904582i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 8.30241i | 0.764299i | ||||||||
\(119\) | 2.81047 | − | 3.28010i | 0.257636 | − | 0.300687i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.575009 | 0.0522736 | ||||||||
\(122\) | 5.02097 | − | 8.69658i | 0.454577 | − | 0.787351i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −12.3590 | + | 7.13545i | −1.10987 | + | 0.640782i | ||||
\(125\) | −11.7712 | −1.05285 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −9.59240 | −0.851188 | −0.425594 | − | 0.904914i | \(-0.639935\pi\) | ||||
−0.425594 | + | 0.904914i | \(0.639935\pi\) | |||||||
\(128\) | −5.56860 | + | 3.21503i | −0.492199 | + | 0.284171i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −6.79464 | + | 11.7687i | −0.595929 | + | 1.03218i | ||||
\(131\) | −2.46122 | −0.215038 | −0.107519 | − | 0.994203i | \(-0.534291\pi\) | ||||
−0.107519 | + | 0.994203i | \(0.534291\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 2.69010 | − | 14.3872i | 0.233261 | − | 1.24753i | ||||
\(134\) | 1.41227i | 0.122002i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.15856 | + | 0.668896i | −0.0993459 | + | 0.0573574i | ||||
\(137\) | 17.3864i | 1.48542i | 0.669611 | + | 0.742712i | \(0.266461\pi\) | ||||
−0.669611 | + | 0.742712i | \(0.733539\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −8.61174 | + | 4.97199i | −0.730438 | + | 0.421719i | −0.818582 | − | 0.574389i | \(-0.805240\pi\) |
0.0881443 | + | 0.996108i | \(0.471906\pi\) | |||||||
\(140\) | −12.9953 | − | 2.42984i | −1.09830 | − | 0.205359i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −7.35026 | − | 12.7310i | −0.616820 | − | 1.06836i | ||||
\(143\) | −5.00967 | − | 8.67701i | −0.418930 | − | 0.725608i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 14.7490 | + | 8.51532i | 1.22483 | + | 0.707159i | ||||
\(146\) | 3.58442 | − | 6.20840i | 0.296649 | − | 0.513811i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −6.75843 | − | 11.7060i | −0.555540 | − | 0.962223i | ||||
\(149\) | 9.25717i | 0.758377i | 0.925319 | + | 0.379189i | \(0.123797\pi\) | ||||
−0.925319 | + | 0.379189i | \(0.876203\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −11.9698 | −0.974087 | −0.487044 | − | 0.873378i | \(-0.661925\pi\) | ||||
−0.487044 | + | 0.873378i | \(0.661925\pi\) | |||||||
\(152\) | −2.26656 | + | 3.92579i | −0.183842 | + | 0.318424i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 11.6471 | − | 13.5934i | 0.938554 | − | 1.09539i | ||||
\(155\) | −10.8020 | − | 6.23656i | −0.867641 | − | 0.500933i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 15.4598 | + | 8.92569i | 1.23382 | + | 0.712348i | 0.967825 | − | 0.251626i | \(-0.0809651\pi\) |
0.265998 | + | 0.963974i | \(0.414298\pi\) | |||||||
\(158\) | −25.6957 | − | 14.8354i | −2.04424 | − | 1.18024i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −14.5901 | − | 8.42358i | −1.15345 | − | 0.665943i | ||||
\(161\) | −2.89660 | + | 1.02058i | −0.228284 | + | 0.0804329i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −8.91768 | + | 15.4459i | −0.698486 | + | 1.20981i | 0.270505 | + | 0.962719i | \(0.412809\pi\) |
−0.968991 | + | 0.247095i | \(0.920524\pi\) | |||||||
\(164\) | 6.47344 | 0.505491 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | − | 6.47650i | − | 0.502674i | ||||||
\(167\) | 6.16899 | + | 10.6850i | 0.477371 | + | 0.826830i | 0.999664 | − | 0.0259359i | \(-0.00825657\pi\) |
−0.522293 | + | 0.852766i | \(0.674923\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.68526 | + | 2.91896i | −0.129635 | + | 0.224535i | ||||
\(170\) | −6.19166 | − | 3.57476i | −0.474879 | − | 0.274171i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 2.33103 | + | 4.03747i | 0.177740 | + | 0.307854i | ||||
\(173\) | −4.53368 | − | 7.85256i | −0.344689 | − | 0.597019i | 0.640608 | − | 0.767868i | \(-0.278682\pi\) |
−0.985297 | + | 0.170849i | \(0.945349\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.556199 | + | 1.57860i | 0.0420447 | + | 0.119331i | ||||
\(176\) | 8.57037 | − | 4.94810i | 0.646016 | − | 0.372977i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 10.2999i | 0.772014i | ||||||||
\(179\) | 13.0086 | − | 7.51051i | 0.972307 | − | 0.561362i | 0.0723682 | − | 0.997378i | \(-0.476944\pi\) |
0.899939 | + | 0.436016i | \(0.143611\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 2.34159i | − | 0.174049i | −0.996206 | − | 0.0870246i | \(-0.972264\pi\) | ||
0.996206 | − | 0.0870246i | \(-0.0277359\pi\) | |||||||
\(182\) | 16.9111 | + | 3.16201i | 1.25354 | + | 0.234384i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.951168 | 0.0701210 | ||||||||
\(185\) | 5.90704 | − | 10.2313i | 0.434294 | − | 0.752220i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 4.56510 | − | 2.63566i | 0.333833 | − | 0.192739i | ||||
\(188\) | −19.4516 | −1.41865 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −24.2262 | −1.75755 | ||||||||
\(191\) | −7.82585 | + | 4.51825i | −0.566258 | + | 0.326929i | −0.755654 | − | 0.654972i | \(-0.772681\pi\) |
0.189395 | + | 0.981901i | \(0.439347\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.74134 | − | 4.74815i | 0.197326 | − | 0.341779i | −0.750334 | − | 0.661058i | \(-0.770108\pi\) |
0.947661 | + | 0.319279i | \(0.103441\pi\) | |||||||
\(194\) | −5.03141 | −0.361234 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 2.56589 | + | 16.5394i | 0.183278 | + | 1.18139i | ||||
\(197\) | − | 2.88946i | − | 0.205865i | −0.994688 | − | 0.102933i | \(-0.967177\pi\) | ||
0.994688 | − | 0.102933i | \(-0.0328226\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 4.45419 | − | 2.57163i | 0.315749 | − | 0.182298i | −0.333747 | − | 0.942663i | \(-0.608313\pi\) |
0.649496 | + | 0.760365i | \(0.274980\pi\) | |||||||
\(200\) | − | 0.518372i | − | 0.0366544i | ||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −6.38881 | + | 3.68858i | −0.449515 | + | 0.259528i | ||||
\(203\) | 3.96277 | − | 21.1937i | 0.278132 | − | 1.48751i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.82897 | + | 4.89993i | 0.197584 | + | 0.342226i | ||||
\(206\) | 16.4334 | + | 28.4634i | 1.14497 | + | 1.98314i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 8.23688 | + | 4.75557i | 0.571125 | + | 0.329739i | ||||
\(209\) | 8.93095 | − | 15.4689i | 0.617767 | − | 1.07000i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 7.93224 | + | 13.7390i | 0.546078 | + | 0.945835i | 0.998538 | + | 0.0540502i | \(0.0172131\pi\) |
−0.452460 | + | 0.891785i | \(0.649454\pi\) | |||||||
\(212\) | 14.5713i | 1.00076i | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −3.43552 | −0.234848 | ||||||||
\(215\) | −2.03738 | + | 3.52885i | −0.138948 | + | 0.240666i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.90230 | + | 15.5221i | −0.197021 | + | 1.05371i | ||||
\(218\) | −10.5499 | − | 6.09099i | −0.714529 | − | 0.412534i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −13.9723 | − | 8.06689i | −0.942010 | − | 0.543870i | ||||
\(221\) | 4.38747 | + | 2.53311i | 0.295133 | + | 0.170395i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 13.5288 | + | 7.81085i | 0.905955 | + | 0.523053i | 0.879127 | − | 0.476587i | \(-0.158126\pi\) |
0.0268275 | + | 0.999640i | \(0.491460\pi\) | |||||||
\(224\) | −3.92008 | + | 20.9654i | −0.261921 | + | 1.40081i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 16.9293 | − | 29.3224i | 1.12612 | − | 1.95049i | ||||
\(227\) | −2.08089 | −0.138114 | −0.0690569 | − | 0.997613i | \(-0.521999\pi\) | ||||
−0.0690569 | + | 0.997613i | \(0.521999\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 6.43437i | 0.425195i | 0.977140 | + | 0.212598i | \(0.0681923\pi\) | ||||
−0.977140 | + | 0.212598i | \(0.931808\pi\) | |||||||
\(230\) | 2.54165 | + | 4.40226i | 0.167591 | + | 0.290277i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −3.33885 | + | 5.78305i | −0.219206 | + | 0.379676i | ||||
\(233\) | 13.5222 | + | 7.80704i | 0.885868 | + | 0.511456i | 0.872589 | − | 0.488456i | \(-0.162440\pi\) |
0.0132791 | + | 0.999912i | \(0.495773\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −8.50057 | − | 14.7234i | −0.554516 | − | 0.960450i | ||||
\(236\) | −4.73672 | − | 8.20424i | −0.308334 | − | 0.534050i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1.66358 | + | 8.89719i | −0.107834 | + | 0.576719i | ||||
\(239\) | 14.8777 | − | 8.58964i | 0.962358 | − | 0.555618i | 0.0654600 | − | 0.997855i | \(-0.479149\pi\) |
0.896898 | + | 0.442238i | \(0.145815\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | − | 11.2184i | − | 0.722642i | −0.932441 | − | 0.361321i | \(-0.882326\pi\) | ||
0.932441 | − | 0.361321i | \(-0.117674\pi\) | |||||||
\(242\) | −1.04349 | + | 0.602460i | −0.0670782 | + | 0.0387276i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 11.4583i | 0.733544i | ||||||||
\(245\) | −11.3978 | + | 9.17014i | −0.728181 | + | 0.585859i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 17.1669 | 1.09230 | ||||||||
\(248\) | 2.44535 | − | 4.23547i | 0.155280 | − | 0.268953i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 21.3617 | − | 12.3332i | 1.35103 | − | 0.780018i | ||||
\(251\) | −11.3837 | −0.718535 | −0.359267 | − | 0.933235i | \(-0.616973\pi\) | ||||
−0.359267 | + | 0.933235i | \(0.616973\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3.74790 | −0.235629 | ||||||||
\(254\) | 17.4077 | − | 10.0504i | 1.09226 | − | 0.630615i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −4.02567 | + | 6.97267i | −0.251604 | + | 0.435792i | ||||
\(257\) | −9.38048 | −0.585138 | −0.292569 | − | 0.956244i | \(-0.594510\pi\) | ||||
−0.292569 | + | 0.956244i | \(0.594510\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −14.7020 | − | 2.74895i | −0.913537 | − | 0.170812i | ||||
\(260\) | − | 15.5060i | − | 0.961641i | ||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 4.46647 | − | 2.57872i | 0.275940 | − | 0.159314i | ||||
\(263\) | 8.80306i | 0.542820i | 0.962464 | + | 0.271410i | \(0.0874899\pi\) | ||||
−0.962464 | + | 0.271410i | \(0.912510\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −11.0294 | + | 6.36784i | −0.677532 | + | 0.391173i | ||||
\(266\) | 10.1922 | + | 28.9276i | 0.624926 | + | 1.77366i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.805735 | − | 1.39557i | −0.0492181 | − | 0.0852482i | ||||
\(269\) | −8.16473 | − | 14.1417i | −0.497812 | − | 0.862236i | 0.502184 | − | 0.864761i | \(-0.332530\pi\) |
−0.999997 | + | 0.00252412i | \(0.999197\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −12.6186 | − | 7.28538i | −0.766528 | − | 0.442555i | 0.0651065 | − | 0.997878i | \(-0.479261\pi\) |
−0.831635 | + | 0.555323i | \(0.812595\pi\) | |||||||
\(272\) | −2.50197 | + | 4.33355i | −0.151704 | + | 0.262760i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −18.2165 | − | 31.5519i | −1.10050 | − | 1.90612i | ||||
\(275\) | 2.04255i | 0.123170i | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 28.7137 | 1.72524 | 0.862618 | − | 0.505855i | \(-0.168823\pi\) | ||||
0.862618 | + | 0.505855i | \(0.168823\pi\) | |||||||
\(278\) | 10.4187 | − | 18.0457i | 0.624873 | − | 1.08231i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 4.27323 | − | 1.50562i | 0.255375 | − | 0.0899777i | ||||
\(281\) | 4.76893 | + | 2.75334i | 0.284490 | + | 0.164251i | 0.635455 | − | 0.772138i | \(-0.280813\pi\) |
−0.350964 | + | 0.936389i | \(0.614146\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −26.2257 | − | 15.1414i | −1.55896 | − | 0.900065i | −0.997357 | − | 0.0726567i | \(-0.976852\pi\) |
−0.561601 | − | 0.827408i | \(-0.689814\pi\) | |||||||
\(284\) | 14.5267 | + | 8.38699i | 0.862001 | + | 0.497676i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 18.1825 | + | 10.4977i | 1.07515 | + | 0.620740i | ||||
\(287\) | 4.66064 | − | 5.43943i | 0.275109 | − | 0.321080i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 7.16730 | − | 12.4141i | 0.421606 | − | 0.730242i | ||||
\(290\) | −35.6874 | −2.09564 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 8.17999i | 0.478698i | ||||||||
\(293\) | 3.54362 | + | 6.13773i | 0.207021 | + | 0.358570i | 0.950775 | − | 0.309883i | \(-0.100290\pi\) |
−0.743754 | + | 0.668453i | \(0.766957\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.14001 | − | 7.17071i | 0.241041 | − | 0.417495i | ||||
\(296\) | 4.01168 | + | 2.31615i | 0.233174 | + | 0.134623i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −9.69912 | − | 16.7994i | −0.561855 | − | 0.973161i | ||||
\(299\) | −1.80103 | − | 3.11948i | −0.104156 | − | 0.180404i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 5.07082 | + | 0.948135i | 0.292277 | + | 0.0546496i | ||||
\(302\) | 21.7220 | − | 12.5412i | 1.24996 | − | 0.721667i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 16.9559i | 0.972487i | ||||||||
\(305\) | −8.67313 | + | 5.00743i | −0.496622 | + | 0.286725i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 3.11346i | 0.177695i | 0.996045 | + | 0.0888473i | \(0.0283183\pi\) | ||||
−0.996045 | + | 0.0888473i | \(0.971682\pi\) | |||||||
\(308\) | −3.75408 | + | 20.0776i | −0.213909 | + | 1.14403i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 26.1372 | 1.48449 | ||||||||
\(311\) | −9.72605 | + | 16.8460i | −0.551514 | + | 0.955249i | 0.446652 | + | 0.894708i | \(0.352616\pi\) |
−0.998166 | + | 0.0605417i | \(0.980717\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −22.1224 | + | 12.7724i | −1.25043 | + | 0.721937i | −0.971195 | − | 0.238285i | \(-0.923415\pi\) |
−0.279237 | + | 0.960222i | \(0.590081\pi\) | |||||||
\(314\) | −37.4073 | −2.11101 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 33.8559 | 1.90454 | ||||||||
\(317\) | 14.0534 | − | 8.11372i | 0.789316 | − | 0.455712i | −0.0504056 | − | 0.998729i | \(-0.516051\pi\) |
0.839722 | + | 0.543017i | \(0.182718\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 13.1561 | − | 22.7871i | 0.736601 | − | 1.27583i | ||||
\(320\) | 22.4922 | 1.25735 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 4.18728 | − | 4.88697i | 0.233348 | − | 0.272340i | ||||
\(323\) | 9.03174i | 0.502540i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.70007 | + | 0.981535i | −0.0943029 | + | 0.0544458i | ||||
\(326\) | − | 37.3736i | − | 2.06993i | ||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −1.92126 | + | 1.10924i | −0.106084 | + | 0.0612474i | ||||
\(329\) | −14.0044 | + | 16.3446i | −0.772089 | + | 0.901104i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −11.6558 | − | 20.1885i | −0.640662 | − | 1.10966i | −0.985285 | − | 0.170919i | \(-0.945326\pi\) |
0.344623 | − | 0.938741i | \(-0.388007\pi\) | |||||||
\(332\) | 3.69499 | + | 6.39992i | 0.202789 | + | 0.351241i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −22.3902 | − | 12.9270i | −1.22514 | − | 0.707334i | ||||
\(335\) | 0.704232 | − | 1.21977i | 0.0384763 | − | 0.0666430i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 5.93515 | + | 10.2800i | 0.323308 | + | 0.559986i | 0.981168 | − | 0.193154i | \(-0.0618717\pi\) |
−0.657860 | + | 0.753140i | \(0.728538\pi\) | |||||||
\(338\) | − | 7.06286i | − | 0.384169i | ||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 8.15793 | 0.442426 | ||||||||
\(341\) | −9.63545 | + | 16.6891i | −0.521789 | + | 0.903765i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 15.7449 | + | 9.75176i | 0.850147 | + | 0.526546i | ||||
\(344\) | −1.38366 | − | 0.798855i | −0.0746019 | − | 0.0430714i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 16.4549 | + | 9.50024i | 0.884621 | + | 0.510736i | ||||
\(347\) | −18.7979 | − | 10.8530i | −1.00913 | − | 0.582619i | −0.0981903 | − | 0.995168i | \(-0.531305\pi\) |
−0.910936 | + | 0.412549i | \(0.864639\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 2.20868 | + | 1.27518i | 0.118228 | + | 0.0682588i | 0.557948 | − | 0.829876i | \(-0.311589\pi\) |
−0.439720 | + | 0.898135i | \(0.644922\pi\) | |||||||
\(350\) | −2.66332 | − | 2.28200i | −0.142361 | − | 0.121978i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −13.0144 | + | 22.5416i | −0.693669 | + | 1.20147i | ||||
\(353\) | 25.3747 | 1.35056 | 0.675279 | − | 0.737563i | \(-0.264023\pi\) | ||||
0.675279 | + | 0.737563i | \(0.264023\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 14.6609i | 0.778119i | ||||||||
\(356\) | −5.87636 | − | 10.1782i | −0.311446 | − | 0.539441i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −15.7381 | + | 27.2592i | −0.831786 | + | 1.44070i | ||||
\(359\) | 9.73735 | + | 5.62186i | 0.513918 | + | 0.296711i | 0.734443 | − | 0.678671i | \(-0.237444\pi\) |
−0.220525 | + | 0.975381i | \(0.570777\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 5.80204 | + | 10.0494i | 0.305371 | + | 0.528917i | ||||
\(362\) | 2.45338 | + | 4.24938i | 0.128947 | + | 0.223342i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −18.5151 | + | 6.52356i | −0.970458 | + | 0.341927i | ||||
\(365\) | −6.19166 | + | 3.57476i | −0.324086 | + | 0.187111i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | − | 3.31180i | − | 0.172874i | −0.996257 | − | 0.0864372i | \(-0.972452\pi\) | ||
0.996257 | − | 0.0864372i | \(-0.0275482\pi\) | |||||||
\(368\) | 3.08114 | − | 1.77890i | 0.160616 | − | 0.0927315i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 24.7562i | 1.28701i | ||||||||
\(371\) | 12.2438 | + | 10.4908i | 0.635667 | + | 0.544656i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −6.64541 | −0.344087 | −0.172043 | − | 0.985089i | \(-0.555037\pi\) | ||||
−0.172043 | + | 0.985089i | \(0.555037\pi\) | |||||||
\(374\) | −5.52298 | + | 9.56608i | −0.285586 | + | 0.494650i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 5.77304 | − | 3.33307i | 0.297722 | − | 0.171890i | ||||
\(377\) | 25.2884 | 1.30242 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −3.84940 | −0.197730 | −0.0988652 | − | 0.995101i | \(-0.531521\pi\) | ||||
−0.0988652 | + | 0.995101i | \(0.531521\pi\) | |||||||
\(380\) | 23.9397 | − | 13.8216i | 1.22808 | − | 0.709033i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 9.46792 | − | 16.3989i | 0.484421 | − | 0.839041i | ||||
\(383\) | 34.2223 | 1.74868 | 0.874339 | − | 0.485316i | \(-0.161295\pi\) | ||||
0.874339 | + | 0.485316i | \(0.161295\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −16.8379 | + | 5.93260i | −0.858138 | + | 0.302353i | ||||
\(386\) | 11.4889i | 0.584768i | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 4.97191 | − | 2.87054i | 0.252411 | − | 0.145729i | ||||
\(389\) | − | 13.4796i | − | 0.683445i | −0.939801 | − | 0.341723i | \(-0.888990\pi\) | ||
0.939801 | − | 0.341723i | \(-0.111010\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.64121 | − | 0.947550i | 0.0829993 | − | 0.0479197i | ||||
\(392\) | −3.59560 | − | 4.46908i | −0.181605 | − | 0.225723i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 3.02740 | + | 5.24361i | 0.152518 | + | 0.264169i | ||||
\(395\) | 14.7954 | + | 25.6265i | 0.744440 | + | 1.28941i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −25.5501 | − | 14.7513i | −1.28232 | − | 0.740349i | −0.305049 | − | 0.952337i | \(-0.598673\pi\) |
−0.977272 | + | 0.211988i | \(0.932006\pi\) | |||||||
\(398\) | −5.38880 | + | 9.33367i | −0.270116 | + | 0.467855i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.969472 | − | 1.67918i | −0.0484736 | − | 0.0839588i | ||||
\(401\) | − | 29.0446i | − | 1.45042i | −0.688528 | − | 0.725209i | \(-0.741743\pi\) | ||
0.688528 | − | 0.725209i | \(-0.258257\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −18.5210 | −0.922599 | ||||||||
\(404\) | 4.20884 | − | 7.28993i | 0.209398 | − | 0.362687i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 15.0141 | + | 42.6130i | 0.745138 | + | 2.11485i | ||||
\(407\) | −15.8073 | − | 9.12634i | −0.783538 | − | 0.452376i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −26.2193 | − | 15.1377i | −1.29646 | − | 0.748513i | −0.316671 | − | 0.948536i | \(-0.602565\pi\) |
−0.979791 | + | 0.200023i | \(0.935898\pi\) | |||||||
\(410\) | −10.2677 | − | 5.92806i | −0.507086 | − | 0.292766i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −32.4781 | − | 18.7512i | −1.60008 | − | 0.923806i | ||||
\(413\) | −10.3040 | − | 1.92663i | −0.507029 | − | 0.0948035i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −3.22952 | + | 5.59369i | −0.158531 | + | 0.274583i | ||||
\(416\) | −25.0160 | −1.22651 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 37.4293i | 1.83073i | ||||||||
\(419\) | −18.2902 | − | 31.6795i | −0.893534 | − | 1.54765i | −0.835609 | − | 0.549325i | \(-0.814885\pi\) |
−0.0579246 | − | 0.998321i | \(-0.518448\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.85999 | − | 6.68570i | 0.188124 | − | 0.325841i | −0.756501 | − | 0.653993i | \(-0.773093\pi\) |
0.944625 | + | 0.328152i | \(0.106426\pi\) | |||||||
\(422\) | −28.7899 | − | 16.6219i | −1.40147 | − | 0.809140i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −2.49682 | − | 4.32463i | −0.121256 | − | 0.210022i | ||||
\(425\) | −0.516400 | − | 0.894431i | −0.0250491 | − | 0.0433863i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 9.62808 | + | 8.24958i | 0.465935 | + | 0.399225i | ||||
\(428\) | 3.39490 | − | 1.96005i | 0.164099 | − | 0.0947424i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | − | 8.53859i | − | 0.411767i | ||||||
\(431\) | 20.0311 | − | 11.5650i | 0.964865 | − | 0.557065i | 0.0671983 | − | 0.997740i | \(-0.478594\pi\) |
0.897667 | + | 0.440674i | \(0.145261\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 34.9265i | − | 1.67846i | −0.543776 | − | 0.839230i | \(-0.683006\pi\) | ||
0.543776 | − | 0.839230i | \(-0.316994\pi\) | |||||||
\(434\) | −10.9962 | − | 31.2095i | −0.527836 | − | 1.49810i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 13.9002 | 0.665699 | ||||||||
\(437\) | 3.21078 | − | 5.56123i | 0.153592 | − | 0.266030i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 33.6842 | − | 19.4476i | 1.60766 | − | 0.928184i | 0.617770 | − | 0.786359i | \(-0.288036\pi\) |
0.989892 | − | 0.141824i | \(-0.0452969\pi\) | |||||||
\(440\) | 5.52912 | 0.263590 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −10.6161 | −0.504959 | ||||||||
\(443\) | −32.3277 | + | 18.6644i | −1.53594 | + | 0.886774i | −0.536867 | + | 0.843667i | \(0.680392\pi\) |
−0.999070 | + | 0.0431065i | \(0.986275\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 5.13609 | − | 8.89596i | 0.243474 | − | 0.421709i | ||||
\(446\) | −32.7350 | −1.55005 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −9.46276 | − | 26.8572i | −0.447073 | − | 1.26888i | ||||
\(449\) | − | 23.9224i | − | 1.12897i | −0.825445 | − | 0.564483i | \(-0.809076\pi\) | ||
0.825445 | − | 0.564483i | \(-0.190924\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 7.57036 | − | 4.37075i | 0.356474 | − | 0.205810i | ||||
\(452\) | 38.6342i | 1.81720i | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 3.77628 | − | 2.18024i | 0.177230 | − | 0.102324i | ||||
\(455\) | −13.0292 | − | 11.1638i | −0.610819 | − | 0.523365i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −4.99031 | − | 8.64348i | −0.233437 | − | 0.404325i | 0.725380 | − | 0.688348i | \(-0.241664\pi\) |
−0.958817 | + | 0.284024i | \(0.908331\pi\) | |||||||
\(458\) | −6.74155 | − | 11.6767i | −0.315012 | − | 0.545617i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −5.02319 | − | 2.90014i | −0.234207 | − | 0.135220i | ||||
\(461\) | −16.7279 | + | 28.9735i | −0.779094 | + | 1.34943i | 0.153371 | + | 0.988169i | \(0.450987\pi\) |
−0.932465 | + | 0.361261i | \(0.882346\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 11.5353 | + | 19.9798i | 0.536092 | + | 0.928538i | 0.999110 | + | 0.0421893i | \(0.0134333\pi\) |
−0.463018 | + | 0.886349i | \(0.653233\pi\) | |||||||
\(464\) | 24.9776i | 1.15956i | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −32.7190 | −1.51568 | ||||||||
\(467\) | −20.1395 | + | 34.8827i | −0.931946 | + | 1.61418i | −0.151955 | + | 0.988387i | \(0.548557\pi\) |
−0.779991 | + | 0.625791i | \(0.784776\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.75276 | − | 0.327728i | −0.0809349 | − | 0.0151331i | ||||
\(470\) | 30.8527 | + | 17.8128i | 1.42313 | + | 0.821643i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 2.81163 | + | 1.62329i | 0.129416 | + | 0.0747182i | ||||
\(473\) | 5.45205 | + | 3.14774i | 0.250686 | + | 0.144733i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −3.03078 | − | 1.74982i | −0.139062 | − | 0.0802874i | ||||
\(476\) | −3.43214 | − | 9.74109i | −0.157312 | − | 0.446482i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −17.9994 | + | 31.1759i | −0.823275 | + | 1.42595i | ||||
\(479\) | 0.155503 | 0.00710509 | 0.00355255 | − | 0.999994i | \(-0.498869\pi\) | ||||
0.00355255 | + | 0.999994i | \(0.498869\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | − | 17.5425i | − | 0.799867i | ||||||
\(482\) | 11.7540 | + | 20.3585i | 0.535380 | + | 0.927305i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.687435 | − | 1.19067i | 0.0312471 | − | 0.0541215i | ||||
\(485\) | 4.34558 | + | 2.50892i | 0.197323 | + | 0.113924i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 8.25111 | + | 14.2913i | 0.373893 | + | 0.647602i | 0.990161 | − | 0.139935i | \(-0.0446892\pi\) |
−0.616267 | + | 0.787537i | \(0.711356\pi\) | |||||||
\(488\) | −1.96341 | − | 3.40072i | −0.0888793 | − | 0.153944i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 11.0762 | − | 28.5834i | 0.500371 | − | 1.29127i | ||||
\(491\) | −8.10003 | + | 4.67655i | −0.365549 | + | 0.211050i | −0.671512 | − | 0.740993i | \(-0.734355\pi\) |
0.305963 | + | 0.952043i | \(0.401022\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 13.3046i | 0.599209i | ||||||||
\(494\) | −31.1534 | + | 17.9864i | −1.40166 | + | 0.809248i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | − | 18.2934i | − | 0.821399i | ||||||
\(497\) | 17.5060 | − | 6.16801i | 0.785253 | − | 0.276673i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 1.99623 | 0.0893637 | 0.0446818 | − | 0.999001i | \(-0.485773\pi\) | ||||
0.0446818 | + | 0.999001i | \(0.485773\pi\) | |||||||
\(500\) | −14.0727 | + | 24.3746i | −0.629351 | + | 1.09007i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 20.6585 | − | 11.9272i | 0.922035 | − | 0.532337i | ||||
\(503\) | 15.7008 | 0.700063 | 0.350032 | − | 0.936738i | \(-0.386171\pi\) | ||||
0.350032 | + | 0.936738i | \(0.386171\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 7.35727 | 0.327394 | ||||||||
\(506\) | 6.80147 | − | 3.92683i | 0.302362 | − | 0.174569i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −11.4679 | + | 19.8630i | −0.508807 | + | 0.881279i | ||||
\(509\) | 15.1979 | 0.673633 | 0.336817 | − | 0.941570i | \(-0.390650\pi\) | ||||
0.336817 | + | 0.941570i | \(0.390650\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 6.87340 | + | 5.88930i | 0.304061 | + | 0.260527i | ||||
\(512\) | − | 29.7316i | − | 1.31396i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 17.0231 | − | 9.82831i | 0.750858 | − | 0.433508i | ||||
\(515\) | − | 32.7781i | − | 1.44437i | ||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −22.7476 | + | 13.1333i | −1.00044 | + | 0.577603i | ||||
\(518\) | 29.5605 | − | 10.4152i | 1.29881 | − | 0.457619i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 2.65699 | + | 4.60204i | 0.116517 | + | 0.201813i | ||||
\(521\) | −20.6160 | − | 35.7080i | −0.903204 | − | 1.56440i | −0.823310 | − | 0.567592i | \(-0.807875\pi\) |
−0.0798940 | − | 0.996803i | \(-0.525458\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 37.0311 | + | 21.3799i | 1.61926 | + | 0.934878i | 0.987113 | + | 0.160026i | \(0.0511577\pi\) |
0.632143 | + | 0.774852i | \(0.282176\pi\) | |||||||
\(524\) | −2.94244 | + | 5.09645i | −0.128541 | + | 0.222640i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −9.22332 | − | 15.9753i | −0.402156 | − | 0.696554i | ||||
\(527\) | − | 9.74419i | − | 0.424464i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 21.6526 | 0.941417 | ||||||||
\(530\) | 13.3437 | − | 23.1119i | 0.579613 | − | 1.00392i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −26.5756 | − | 22.7706i | −1.15220 | − | 0.987231i | ||||
\(533\) | 7.27579 | + | 4.20068i | 0.315149 | + | 0.181952i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 2.96723 | + | 1.71313i | 0.128284 | + | 0.0740650i | ||||
\(536\) | 0.478269 | + | 0.276129i | 0.0206581 | + | 0.0119270i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 29.6337 | + | 17.1090i | 1.27760 | + | 0.737623i | ||||
\(539\) | 14.1678 | + | 17.6096i | 0.610251 | + | 0.758499i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 8.04309 | − | 13.9310i | 0.345800 | − | 0.598942i | −0.639699 | − | 0.768625i | \(-0.720941\pi\) |
0.985499 | + | 0.169683i | \(0.0542744\pi\) | |||||||
\(542\) | 30.5328 | 1.31149 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | − | 13.1613i | − | 0.564284i | ||||||
\(545\) | 6.07456 | + | 10.5214i | 0.260206 | + | 0.450689i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −5.94015 | + | 10.2886i | −0.253982 | + | 0.439910i | −0.964619 | − | 0.263649i | \(-0.915074\pi\) |
0.710636 | + | 0.703560i | \(0.248407\pi\) | |||||||
\(548\) | 36.0021 | + | 20.7858i | 1.53794 | + | 0.887927i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −2.14006 | − | 3.70669i | −0.0912525 | − | 0.158054i | ||||
\(551\) | 22.5413 | + | 39.0427i | 0.960293 | + | 1.66328i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 24.3750 | − | 28.4481i | 1.03653 | − | 1.20973i | ||||
\(554\) | −52.1078 | + | 30.0845i | −2.21385 | + | 1.27817i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 23.7765i | 1.00835i | ||||||||
\(557\) | 26.4006 | − | 15.2424i | 1.11863 | − | 0.645841i | 0.177579 | − | 0.984107i | \(-0.443173\pi\) |
0.941051 | + | 0.338265i | \(0.109840\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 6.05052i | 0.255910i | ||||||||
\(560\) | 11.0266 | − | 12.8691i | 0.465957 | − | 0.543818i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −11.5392 | −0.486750 | ||||||||
\(563\) | 11.2686 | − | 19.5177i | 0.474914 | − | 0.822575i | −0.524673 | − | 0.851304i | \(-0.675813\pi\) |
0.999587 | + | 0.0287288i | \(0.00914592\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −29.2433 | + | 16.8836i | −1.23027 | + | 0.710300i | ||||
\(566\) | 63.4572 | 2.66730 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −5.74852 | −0.241202 | ||||||||
\(569\) | −38.5935 | + | 22.2819i | −1.61792 | + | 0.934108i | −0.630465 | + | 0.776218i | \(0.717136\pi\) |
−0.987457 | + | 0.157890i | \(0.949531\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −17.6415 | + | 30.5560i | −0.738274 | + | 1.27873i | 0.214998 | + | 0.976614i | \(0.431025\pi\) |
−0.953272 | + | 0.302113i | \(0.902308\pi\) | |||||||
\(572\) | −23.9567 | −1.00168 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −2.75874 | + | 14.7543i | −0.115147 | + | 0.615833i | ||||
\(575\) | 0.734319i | 0.0306232i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 3.25158 | − | 1.87730i | 0.135365 | − | 0.0781531i | −0.430788 | − | 0.902453i | \(-0.641764\pi\) |
0.566153 | + | 0.824300i | \(0.308431\pi\) | |||||||
\(578\) | 30.0379i | 1.24941i | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 35.2654 | − | 20.3605i | 1.46432 | − | 0.845423i | ||||
\(581\) | 8.03792 | + | 1.50292i | 0.333469 | + | 0.0623516i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 9.83827 | + | 17.0404i | 0.407460 | + | 0.705741i | ||||
\(584\) | −1.40166 | − | 2.42775i | −0.0580011 | − | 0.100461i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −12.8615 | − | 7.42559i | −0.531304 | − | 0.306748i | ||||
\(587\) | 15.8021 | − | 27.3700i | 0.652222 | − | 1.12968i | −0.330361 | − | 0.943855i | \(-0.607171\pi\) |
0.982583 | − | 0.185826i | \(-0.0594961\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −16.5091 | − | 28.5946i | −0.680246 | − | 1.17822i | ||||
\(590\) | 17.3506i | 0.714314i | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 17.3269 | 0.712129 | ||||||||
\(593\) | 18.5588 | − | 32.1448i | 0.762120 | − | 1.32003i | −0.179636 | − | 0.983733i | \(-0.557492\pi\) |
0.941756 | − | 0.336297i | \(-0.109175\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 5.87342 | − | 6.85486i | 0.240787 | − | 0.281022i | ||||
\(596\) | 19.1689 | + | 11.0671i | 0.785187 | + | 0.453328i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 6.53682 | + | 3.77403i | 0.267310 | + | 0.154332i | ||||
\(599\) | 24.5188 | + | 14.1559i | 1.00181 | + | 0.578396i | 0.908784 | − | 0.417267i | \(-0.137012\pi\) |
0.0930277 | + | 0.995664i | \(0.470345\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 20.8341 | + | 12.0286i | 0.849840 | + | 0.490655i | 0.860597 | − | 0.509287i | \(-0.170091\pi\) |
−0.0107568 | + | 0.999942i | \(0.503424\pi\) | |||||||
\(602\) | −10.1956 | + | 3.59229i | −0.415543 | + | 0.146411i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −14.3101 | + | 24.7859i | −0.582271 | + | 1.00852i | ||||
\(605\) | 1.20167 | 0.0488549 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 9.52047i | 0.386424i | 0.981157 | + | 0.193212i | \(0.0618905\pi\) | ||||
−0.981157 | + | 0.193212i | \(0.938110\pi\) | |||||||
\(608\) | −22.2985 | − | 38.6221i | −0.904323 | − | 1.56633i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 10.4930 | − | 18.1744i | 0.424848 | − | 0.735859i | ||||
\(611\) | −21.8625 | − | 12.6223i | −0.884461 | − | 0.510644i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 1.23108 | + | 2.13230i | 0.0497230 | + | 0.0861227i | 0.889816 | − | 0.456320i | \(-0.150833\pi\) |
−0.840093 | + | 0.542443i | \(0.817499\pi\) | |||||||
\(614\) | −3.26210 | − | 5.65012i | −0.131648 | − | 0.228020i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −2.32617 | − | 6.60212i | −0.0937239 | − | 0.266007i | ||||
\(617\) | −18.7738 | + | 10.8390i | −0.755804 | + | 0.436364i | −0.827787 | − | 0.561042i | \(-0.810401\pi\) |
0.0719831 | + | 0.997406i | \(0.477067\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 24.1063i | 0.968915i | 0.874815 | + | 0.484457i | \(0.160983\pi\) | ||||
−0.874815 | + | 0.484457i | \(0.839017\pi\) | |||||||
\(620\) | −25.8281 | + | 14.9119i | −1.03728 | + | 0.598875i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 40.7615i | − | 1.63439i | ||||||
\(623\) | −12.7832 | − | 2.39018i | −0.512147 | − | 0.0957604i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −21.4368 | −0.857471 | ||||||||
\(626\) | 26.7643 | − | 46.3571i | 1.06972 | − | 1.85280i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 36.9649 | − | 21.3417i | 1.47506 | − | 0.851627i | ||||
\(629\) | 9.22934 | 0.367998 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 3.37520 | 0.134365 | 0.0671824 | − | 0.997741i | \(-0.478599\pi\) | ||||
0.0671824 | + | 0.997741i | \(0.478599\pi\) | |||||||
\(632\) | −10.0481 | + | 5.80128i | −0.399692 | + | 0.230762i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −17.0021 | + | 29.4486i | −0.675242 | + | 1.16955i | ||||
\(635\) | −20.0465 | −0.795521 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −7.84869 | + | 20.2544i | −0.310976 | + | 0.802510i | ||||
\(638\) | 55.1368i | 2.18289i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −11.6374 | + | 6.71887i | −0.460010 | + | 0.265587i | ||||
\(641\) | 35.6978i | 1.40998i | 0.709218 | + | 0.704989i | \(0.249048\pi\) | ||||
−0.709218 | + | 0.704989i | \(0.750952\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 3.03956 | − | 1.75489i | 0.119868 | − | 0.0692060i | −0.438867 | − | 0.898552i | \(-0.644620\pi\) |
0.558735 | + | 0.829346i | \(0.311287\pi\) | |||||||
\(644\) | −1.34963 | + | 7.21813i | −0.0531831 | + | 0.284434i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −9.46292 | − | 16.3903i | −0.372314 | − | 0.644866i | ||||
\(647\) | 7.02996 | + | 12.1762i | 0.276376 | + | 0.478698i | 0.970481 | − | 0.241176i | \(-0.0775331\pi\) |
−0.694105 | + | 0.719874i | \(0.744200\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −11.0787 | − | 6.39629i | −0.434877 | − | 0.251076i | ||||
\(650\) | 2.05679 | − | 3.56246i | 0.0806739 | − | 0.139731i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 21.3225 | + | 36.9317i | 0.835055 | + | 1.44636i | ||||
\(653\) | − | 11.8558i | − | 0.463955i | −0.972721 | − | 0.231978i | \(-0.925480\pi\) | ||
0.972721 | − | 0.231978i | \(-0.0745196\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −5.14353 | −0.200974 | ||||||||
\(656\) | −4.14905 | + | 7.18637i | −0.161993 | + | 0.280581i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 8.28952 | − | 44.3341i | 0.323159 | − | 1.72832i | ||||
\(659\) | −5.03144 | − | 2.90491i | −0.195997 | − | 0.113159i | 0.398790 | − | 0.917042i | \(-0.369430\pi\) |
−0.594787 | + | 0.803883i | \(0.702764\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 8.41592 | + | 4.85893i | 0.327341 | + | 0.188991i | 0.654660 | − | 0.755923i | \(-0.272812\pi\) |
−0.327319 | + | 0.944914i | \(0.606145\pi\) | |||||||
\(662\) | 42.3046 | + | 24.4246i | 1.64422 | + | 0.949288i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −2.19328 | − | 1.26629i | −0.0851158 | − | 0.0491416i | ||||
\(665\) | 5.62185 | − | 30.0668i | 0.218006 | − | 1.16594i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 4.72977 | − | 8.19220i | 0.183137 | − | 0.317203i | ||||
\(668\) | 29.5006 | 1.14141 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 2.95141i | 0.114023i | ||||||||
\(671\) | 7.73645 | + | 13.3999i | 0.298662 | + | 0.517298i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 13.4646 | − | 23.3214i | 0.519023 | − | 0.898975i | −0.480732 | − | 0.876867i | \(-0.659629\pi\) |
0.999756 | − | 0.0221072i | \(-0.00703750\pi\) | |||||||
\(674\) | −21.5415 | − | 12.4370i | −0.829747 | − | 0.479055i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 4.02953 | + | 6.97935i | 0.154982 | + | 0.268436i | ||||
\(677\) | −22.7056 | − | 39.3273i | −0.872648 | − | 1.51147i | −0.859247 | − | 0.511560i | \(-0.829068\pi\) |
−0.0134007 | − | 0.999910i | \(-0.504266\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1.16757 | − | 6.24443i | 0.0448074 | − | 0.239639i | ||||
\(680\) | −2.42120 | + | 1.39788i | −0.0928487 | + | 0.0536062i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | − | 40.3818i | − | 1.54630i | ||||||
\(683\) | −37.6543 | + | 21.7397i | −1.44080 | + | 0.831848i | −0.997903 | − | 0.0647226i | \(-0.979384\pi\) |
−0.442900 | + | 0.896571i | \(0.646050\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 36.3347i | 1.38828i | ||||||||
\(686\) | −38.7903 | − | 1.20030i | −1.48102 | − | 0.0458278i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −5.97616 | −0.227839 | ||||||||
\(689\) | −9.45546 | + | 16.3773i | −0.360224 | + | 0.623927i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −23.6991 | + | 13.6827i | −0.901557 | + | 0.520514i | −0.877705 | − | 0.479201i | \(-0.840926\pi\) |
−0.0238522 | + | 0.999715i | \(0.507593\pi\) | |||||||
\(692\) | −21.6804 | −0.824166 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 45.4845 | 1.72657 | ||||||||
\(695\) | −17.9971 | + | 10.3906i | −0.682668 | + | 0.394139i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.21004 | + | 3.82790i | −0.0837112 | + | 0.144992i | ||||
\(698\) | −5.34423 | −0.202282 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 3.93377 | + | 0.735530i | 0.148682 | + | 0.0278004i | ||||
\(701\) | − | 8.26437i | − | 0.312141i | −0.987746 | − | 0.156070i | \(-0.950117\pi\) | ||
0.987746 | − | 0.156070i | \(-0.0498827\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 27.0838 | − | 15.6368i | 1.02148 | − | 0.589754i | ||||
\(704\) | − | 34.7504i | − | 1.30970i | ||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −46.0484 | + | 26.5861i | −1.73306 | + | 1.00058i | ||||
\(707\) | −3.09529 | − | 8.78505i | −0.116410 | − | 0.330396i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −21.4086 | − | 37.0807i | −0.804015 | − | 1.39260i | −0.916954 | − | 0.398994i | \(-0.869360\pi\) |
0.112938 | − | 0.993602i | \(-0.463974\pi\) | |||||||
\(710\) | −15.3608 | − | 26.6057i | −0.576481 | − | 0.998494i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 3.48810 | + | 2.01385i | 0.130722 | + | 0.0754724i | ||||
\(713\) | −3.46405 | + | 5.99992i | −0.129730 | + | 0.224699i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −10.4694 | − | 18.1335i | −0.391532 | − | 0.678153i | ||||
\(716\) | − | 35.9159i | − | 1.34224i | ||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −23.5610 | −0.879289 | ||||||||
\(719\) | −11.5725 | + | 20.0442i | −0.431583 | + | 0.747523i | −0.997010 | − | 0.0772751i | \(-0.975378\pi\) |
0.565427 | + | 0.824798i | \(0.308711\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −39.1391 | + | 13.7901i | −1.45762 | + | 0.513571i | ||||
\(722\) | −21.0584 | − | 12.1581i | −0.783712 | − | 0.452477i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −4.84874 | − | 2.79942i | −0.180202 | − | 0.104040i | ||||
\(725\) | −4.46462 | − | 2.57765i | −0.165812 | − | 0.0957316i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 4.76878 | + | 2.75326i | 0.176864 | + | 0.102113i | 0.585819 | − | 0.810442i | \(-0.300773\pi\) |
−0.408954 | + | 0.912555i | \(0.634106\pi\) | |||||||
\(728\) | 4.37730 | − | 5.10874i | 0.162233 | − | 0.189343i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 7.49084 | − | 12.9745i | 0.277248 | − | 0.480208i | ||||
\(731\) | −3.18327 | −0.117737 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | − | 3.98999i | − | 0.147373i | −0.997281 | − | 0.0736867i | \(-0.976524\pi\) | ||
0.997281 | − | 0.0736867i | \(-0.0234765\pi\) | |||||||
\(734\) | 3.46991 | + | 6.01005i | 0.128077 | + | 0.221835i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −4.67882 | + | 8.10395i | −0.172463 | + | 0.298716i | ||||
\(737\) | −1.88453 | − | 1.08803i | −0.0694176 | − | 0.0400783i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 0.871657 | + | 1.50976i | 0.0320644 | + | 0.0555372i | 0.881612 | − | 0.471974i | \(-0.156458\pi\) |
−0.849548 | + | 0.527512i | \(0.823125\pi\) | |||||||
\(740\) | −14.1240 | − | 24.4635i | −0.519208 | − | 0.899295i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −33.2110 | − | 6.20974i | −1.21921 | − | 0.227967i | ||||
\(743\) | −8.70204 | + | 5.02413i | −0.319247 | + | 0.184317i | −0.651057 | − | 0.759029i | \(-0.725674\pi\) |
0.331810 | + | 0.943346i | \(0.392341\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 19.3459i | 0.708780i | ||||||||
\(746\) | 12.0597 | − | 6.96267i | 0.441537 | − | 0.254921i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | − | 12.6040i | − | 0.460846i | ||||||
\(749\) | 0.797238 | − | 4.26379i | 0.0291304 | − | 0.155796i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −23.3450 | −0.851872 | −0.425936 | − | 0.904753i | \(-0.640055\pi\) | ||||
−0.425936 | + | 0.904753i | \(0.640055\pi\) | |||||||
\(752\) | 12.4672 | − | 21.5938i | 0.454631 | − | 0.787444i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −45.8919 | + | 26.4957i | −1.67128 | + | 0.964916i | ||||
\(755\) | −25.0148 | −0.910383 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −14.3334 | −0.520957 | −0.260479 | − | 0.965480i | \(-0.583880\pi\) | ||||
−0.260479 | + | 0.965480i | \(0.583880\pi\) | |||||||
\(758\) | 6.98566 | − | 4.03317i | 0.253730 | − | 0.146491i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −4.73672 | + | 8.20424i | −0.171819 | + | 0.297599i | ||||
\(761\) | −22.6355 | −0.820537 | −0.410268 | − | 0.911965i | \(-0.634565\pi\) | ||||
−0.410268 | + | 0.911965i | \(0.634565\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 10.0076 | − | 11.6799i | 0.362301 | − | 0.422841i | ||||
\(764\) | 21.6067i | 0.781702i | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −62.1046 | + | 35.8561i | −2.24393 | + | 1.29553i | ||||
\(767\) | − | 12.2948i | − | 0.443940i | ||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 42.6873 | − | 24.6455i | 1.53934 | − | 0.888741i | 0.540468 | − | 0.841365i | \(-0.318247\pi\) |
0.998877 | − | 0.0473762i | \(-0.0150860\pi\) | |||||||
\(770\) | 24.3406 | − | 28.4079i | 0.877173 | − | 1.02375i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −6.55467 | − | 11.3530i | −0.235908 | − | 0.408604i | ||||
\(773\) | 11.0083 | + | 19.0670i | 0.395943 | + | 0.685793i | 0.993221 | − | 0.116241i | \(-0.0370845\pi\) |
−0.597278 | + | 0.802034i | \(0.703751\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 3.26986 | + | 1.88785i | 0.117457 | + | 0.0678137i | ||||
\(776\) | −0.983745 | + | 1.70390i | −0.0353144 | + | 0.0611663i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 14.1232 | + | 24.4621i | 0.506340 | + | 0.877007i | ||||
\(779\) | 14.9774i | 0.536622i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 22.6510 | 0.810516 | ||||||||
\(782\) | −1.98557 | + | 3.43911i | −0.0710040 | + | 0.122982i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −20.0055 | − | 7.75223i | −0.714483 | − | 0.276865i | ||||
\(785\) | 32.3083 | + | 18.6532i | 1.15313 | + | 0.665761i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 9.40107 | + | 5.42771i | 0.335112 | + | 0.193477i | 0.658108 | − | 0.752923i | \(-0.271357\pi\) |
−0.322996 | + | 0.946400i | \(0.604690\pi\) | |||||||
\(788\) | −5.98320 | − | 3.45440i | −0.213143 | − | 0.123058i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −53.6998 | − | 31.0036i | −1.91055 | − | 1.10306i | ||||
\(791\) | 32.4631 | + | 27.8152i | 1.15426 | + | 0.988995i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −7.43542 | + | 12.8785i | −0.264039 | + | 0.457330i | ||||
\(794\) | 61.8223 | 2.19399 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | − | 12.2977i | − | 0.435882i | ||||||
\(797\) | −1.98299 | − | 3.43465i | −0.0702412 | − | 0.121661i | 0.828766 | − | 0.559596i | \(-0.189044\pi\) |
−0.899007 | + | 0.437934i | \(0.855710\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 6.64078 | − | 11.5022i | 0.234934 | − | 0.406917i | ||||
\(800\) | 4.41653 | + | 2.54988i | 0.156148 | + | 0.0901520i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 30.4312 | + | 52.7084i | 1.07456 | + | 1.86120i | ||||
\(803\) | 5.52298 | + | 9.56608i | 0.194902 | + | 0.337580i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −6.05341 | + | 2.13284i | −0.213355 | + | 0.0751726i | ||||
\(806\) | 33.6109 | − | 19.4053i | 1.18389 | − | 0.683521i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 2.88478i | 0.101486i | ||||||||
\(809\) | −36.0199 | + | 20.7961i | −1.26639 | + | 0.731152i | −0.974303 | − | 0.225240i | \(-0.927683\pi\) |
−0.292088 | + | 0.956391i | \(0.594350\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 13.3293i | − | 0.468056i | −0.972230 | − | 0.234028i | \(-0.924809\pi\) | ||
0.972230 | − | 0.234028i | \(-0.0751907\pi\) | |||||||
\(812\) | −39.1483 | − | 33.5432i | −1.37384 | − | 1.17714i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 38.2482 | 1.34060 | ||||||||
\(815\) | −18.6364 | + | 32.2792i | −0.652806 | + | 1.13069i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −9.34139 | + | 5.39326i | −0.326814 | + | 0.188686i | ||||
\(818\) | 63.4417 | 2.21819 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 13.5284 | 0.472432 | ||||||||
\(821\) | 33.4332 | − | 19.3027i | 1.16683 | − | 0.673668i | 0.213897 | − | 0.976856i | \(-0.431384\pi\) |
0.952931 | + | 0.303188i | \(0.0980510\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 5.34881 | − | 9.26442i | 0.186448 | − | 0.322937i | −0.757616 | − | 0.652701i | \(-0.773636\pi\) |
0.944063 | + | 0.329764i | \(0.106969\pi\) | |||||||
\(824\) | 12.8523 | 0.447729 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 20.7178 | − | 7.29962i | 0.720863 | − | 0.253986i | ||||
\(827\) | 11.7079i | 0.407125i | 0.979062 | + | 0.203562i | \(0.0652520\pi\) | ||||
−0.979062 | + | 0.203562i | \(0.934748\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −15.0948 | + | 8.71498i | −0.524263 | + | 0.302684i | −0.738677 | − | 0.674059i | \(-0.764549\pi\) |
0.214414 | + | 0.976743i | \(0.431216\pi\) | |||||||
\(830\) | − | 13.5348i | − | 0.469799i | ||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 28.9237 | − | 16.6991i | 1.00275 | − | 0.578937i | ||||
\(833\) | −10.6562 | − | 4.12931i | −0.369214 | − | 0.143072i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 12.8921 | + | 22.3298i | 0.446151 | + | 0.772756i | ||||
\(836\) | −21.3543 | − | 36.9867i | −0.738553 | − | 1.27921i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 66.3838 | + | 38.3267i | 2.29319 | + | 1.32397i | ||||
\(839\) | −0.704502 | + | 1.22023i | −0.0243221 | + | 0.0421271i | −0.877930 | − | 0.478789i | \(-0.841076\pi\) |
0.853608 | + | 0.520916i | \(0.174409\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 18.7055 | + | 32.3988i | 0.645016 | + | 1.11720i | ||||
\(842\) | 16.1771i | 0.557498i | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 37.9326 | 1.30570 | ||||||||
\(845\) | −3.52191 | + | 6.10012i | −0.121157 | + | 0.209851i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −0.505558 | − | 1.43487i | −0.0173712 | − | 0.0493028i | ||||
\(848\) | −16.1761 | − | 9.33925i | −0.555488 | − | 0.320711i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 1.87426 | + | 1.08211i | 0.0642867 | + | 0.0371160i | ||||
\(851\) | −5.68290 | − | 3.28102i | −0.194807 | − | 0.112472i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −28.0716 | − | 16.2071i | −0.961153 | − | 0.554922i | −0.0646255 | − | 0.997910i | \(-0.520585\pi\) |
−0.896528 | + | 0.442987i | \(0.853919\pi\) | |||||||
\(854\) | −26.1159 | − | 4.88311i | −0.893667 | − | 0.167097i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −0.671716 | + | 1.16345i | −0.0229588 | + | 0.0397658i | ||||
\(857\) | −44.4539 | −1.51852 | −0.759258 | − | 0.650789i | \(-0.774438\pi\) | ||||
−0.759258 | + | 0.650789i | \(0.774438\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 15.6494i | 0.533952i | 0.963703 | + | 0.266976i | \(0.0860245\pi\) | ||||
−0.963703 | + | 0.266976i | \(0.913976\pi\) | |||||||
\(860\) | 4.87147 | + | 8.43763i | 0.166116 | + | 0.287721i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −24.2342 | + | 41.9748i | −0.825420 | + | 1.42967i | ||||
\(863\) | 15.6911 | + | 9.05927i | 0.534132 | + | 0.308381i | 0.742697 | − | 0.669627i | \(-0.233546\pi\) |
−0.208565 | + | 0.978008i | \(0.566879\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −9.47462 | − | 16.4105i | −0.322147 | − | 0.557975i | ||||
\(866\) | 36.5939 | + | 63.3825i | 1.24351 | + | 2.15383i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 28.6719 | + | 24.5668i | 0.973189 | + | 0.833853i | ||||
\(869\) | 39.5927 | − | 22.8589i | 1.34309 | − | 0.775434i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − | 2.09140i | − | 0.0708643i | ||||||
\(872\) | −4.12545 | + | 2.38183i | −0.139705 | + | 0.0806589i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 13.4562i | 0.455164i | ||||||||
\(875\) | 10.3494 | + | 29.3737i | 0.349875 | + | 0.993014i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −2.77853 | −0.0938243 | −0.0469121 | − | 0.998899i | \(-0.514938\pi\) | ||||
−0.0469121 | + | 0.998899i | \(0.514938\pi\) | |||||||
\(878\) | −40.7521 | + | 70.5847i | −1.37532 | + | 2.38212i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 17.9106 | − | 10.3407i | 0.603767 | − | 0.348585i | ||||
\(881\) | 1.96106 | 0.0660696 | 0.0330348 | − | 0.999454i | \(-0.489483\pi\) | ||||
0.0330348 | + | 0.999454i | \(0.489483\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −36.9657 | −1.24400 | −0.621998 | − | 0.783019i | \(-0.713679\pi\) | ||||
−0.621998 | + | 0.783019i | \(0.713679\pi\) | |||||||
\(884\) | 10.4906 | − | 6.05676i | 0.352838 | − | 0.203711i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 39.1110 | − | 67.7422i | 1.31396 | − | 2.27584i | ||||
\(887\) | 22.5168 | 0.756040 | 0.378020 | − | 0.925797i | \(-0.376605\pi\) | ||||
0.378020 | + | 0.925797i | \(0.376605\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 8.43380 | + | 23.9368i | 0.282861 | + | 0.802814i | ||||
\(890\) | 21.5251i | 0.721525i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 32.3479 | − | 18.6761i | 1.08309 | − | 0.625321i | ||||
\(893\) | − | 45.0046i | − | 1.50602i | ||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 27.1857 | − | 15.6957i | 0.908719 | − | 0.524649i | ||||
\(896\) | 12.9188 | + | 11.0691i | 0.431586 | + | 0.369793i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 25.0644 | + | 43.4129i | 0.836411 | + | 1.44871i | ||||
\(899\) | −24.3195 | − | 42.1225i | −0.811099 | − | 1.40487i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −8.61635 | − | 4.97465i | −0.287052 | − | 0.165730i | ||||
\(902\) | −9.15882 | + | 15.8635i | −0.304955 | + | 0.528198i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −6.62005 | − | 11.4663i | −0.220180 | − | 0.381362i | ||||
\(905\) | − | 4.89353i | − | 0.162666i | ||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −19.1196 | −0.634857 | −0.317428 | − | 0.948282i | \(-0.602819\pi\) | ||||
−0.317428 | + | 0.948282i | \(0.602819\pi\) | |||||||
\(908\) | −2.48775 | + | 4.30891i | −0.0825589 | + | 0.142996i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 35.3414 | + | 6.60808i | 1.17155 | + | 0.219056i | ||||
\(911\) | −4.92610 | − | 2.84408i | −0.163209 | − | 0.0942287i | 0.416171 | − | 0.909286i | \(-0.363372\pi\) |
−0.579380 | + | 0.815058i | \(0.696705\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 8.64222 | + | 4.98959i | 0.286016 | + | 0.165131i | ||||
\(914\) | 18.1122 | + | 10.4571i | 0.599100 | + | 0.345890i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 13.3237 | + | 7.69242i | 0.440226 | + | 0.254165i | ||||
\(917\) | 2.16395 | + | 6.14170i | 0.0714598 | + | 0.202817i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −10.9255 | + | 18.9235i | −0.360399 | + | 0.624230i | −0.988027 | − | 0.154284i | \(-0.950693\pi\) |
0.627627 | + | 0.778514i | \(0.284026\pi\) | |||||||
\(920\) | 1.98778 | 0.0655352 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | − | 70.1058i | − | 2.30881i | ||||||
\(923\) | 10.8848 | + | 18.8530i | 0.358278 | + | 0.620555i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1.78811 | + | 3.09709i | −0.0587926 | + | 0.101832i | ||||
\(926\) | −41.8672 | − | 24.1720i | −1.37584 | − | 0.794343i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −32.8477 | − | 56.8940i | −1.07828 | − | 1.86764i | ||||
\(929\) | −8.08806 | − | 14.0089i | −0.265361 | − | 0.459618i | 0.702297 | − | 0.711884i | \(-0.252158\pi\) |
−0.967658 | + | 0.252266i | \(0.918824\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −38.2669 | + | 5.93663i | −1.25415 | + | 0.194565i | ||||
\(932\) | 32.3321 | − | 18.6669i | 1.05907 | − | 0.611456i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | − | 84.4040i | − | 2.76178i | ||||||
\(935\) | 9.54029 | − | 5.50809i | 0.312001 | − | 0.180134i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 14.0440i | 0.458799i | 0.973332 | + | 0.229400i | \(0.0736762\pi\) | ||||
−0.973332 | + | 0.229400i | \(0.926324\pi\) | |||||||
\(938\) | 3.52417 | − | 1.24169i | 0.115068 | − | 0.0405428i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −40.6505 | −1.32587 | ||||||||
\(941\) | −21.5934 | + | 37.4009i | −0.703924 | + | 1.21923i | 0.263154 | + | 0.964754i | \(0.415237\pi\) |
−0.967078 | + | 0.254479i | \(0.918096\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 2.72163 | − | 1.57133i | 0.0886284 | − | 0.0511696i | ||||
\(944\) | 12.1437 | 0.395244 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −13.1921 | −0.428911 | ||||||||
\(947\) | −16.6235 | + | 9.59758i | −0.540191 | + | 0.311879i | −0.745156 | − | 0.666890i | \(-0.767625\pi\) |
0.204965 | + | 0.978769i | \(0.434292\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −5.30807 | + | 9.19386i | −0.172307 | + | 0.298445i | ||||
\(950\) | 7.33344 | 0.237928 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 2.68779 | + | 2.30296i | 0.0871116 | + | 0.0746394i | ||||
\(953\) | − | 5.62718i | − | 0.182282i | −0.995838 | − | 0.0911411i | \(-0.970949\pi\) | ||
0.995838 | − | 0.0911411i | \(-0.0290514\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −16.3547 | + | 9.44239i | −0.529225 | + | 0.305548i | ||||
\(956\) | − | 41.0764i | − | 1.32850i | ||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −0.282197 | + | 0.162926i | −0.00911736 | + | 0.00526391i | ||||
\(959\) | 43.3860 | − | 15.2864i | 1.40101 | − | 0.493625i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 2.31141 | + | 4.00348i | 0.0745616 | + | 0.129144i | ||||
\(962\) | 18.3799 | + | 31.8350i | 0.592593 | + | 1.02640i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −23.2300 | − | 13.4119i | −0.748189 | − | 0.431967i | ||||
\(965\) | 5.72894 | − | 9.92282i | 0.184421 | − | 0.319427i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −7.62091 | − | 13.1998i | −0.245072 | − | 0.424477i | 0.717080 | − | 0.696991i | \(-0.245478\pi\) |
−0.962152 | + | 0.272514i | \(0.912145\pi\) | |||||||
\(968\) | 0.471174i | 0.0151441i | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −10.5148 | −0.337610 | ||||||||
\(971\) | 20.4479 | − | 35.4168i | 0.656205 | − | 1.13658i | −0.325386 | − | 0.945581i | \(-0.605494\pi\) |
0.981590 | − | 0.190998i | \(-0.0611725\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 19.9786 | + | 17.1182i | 0.640486 | + | 0.548784i | ||||
\(974\) | −29.9472 | − | 17.2900i | −0.959571 | − | 0.554009i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −12.7202 | − | 7.34404i | −0.407165 | − | 0.235077i | ||||
\(977\) | −8.98296 | − | 5.18631i | −0.287390 | − | 0.165925i | 0.349374 | − | 0.936983i | \(-0.386394\pi\) |
−0.636764 | + | 0.771058i | \(0.719728\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −13.7442 | − | 7.93522i | −0.439267 | − | 0.253611i | ||||
\(980\) | 5.36227 | + | 34.5646i | 0.171291 | + | 1.10413i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 9.79963 | − | 16.9735i | 0.312719 | − | 0.541645i | ||||
\(983\) | −2.11700 | −0.0675219 | −0.0337609 | − | 0.999430i | \(-0.510748\pi\) | ||||
−0.0337609 | + | 0.999430i | \(0.510748\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | − | 6.03847i | − | 0.192402i | ||||||
\(986\) | −13.9398 | − | 24.1444i | −0.443932 | − | 0.768914i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 20.5234 | − | 35.5475i | 0.652935 | − | 1.13092i | ||||
\(989\) | 1.96007 | + | 1.13165i | 0.0623267 | + | 0.0359843i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −17.0581 | − | 29.5456i | −0.541870 | − | 0.938546i | −0.998797 | − | 0.0490418i | \(-0.984383\pi\) |
0.456927 | − | 0.889504i | \(-0.348950\pi\) | |||||||
\(992\) | 24.0575 | + | 41.6688i | 0.763825 | + | 1.32298i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −25.3064 | + | 29.5351i | −0.802671 | + | 0.936797i | ||||
\(995\) | 9.30850 | − | 5.37427i | 0.295099 | − | 0.170376i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | − | 45.8235i | − | 1.45125i | −0.688093 | − | 0.725623i | \(-0.741552\pi\) | ||
0.688093 | − | 0.725623i | \(-0.258448\pi\) | |||||||
\(998\) | −3.62264 | + | 2.09153i | −0.114673 | + | 0.0662064i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))