Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [460,2,Mod(11,460)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(460, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("460.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 460 = 2^{2} \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 460.q (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.67311849298\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 11.11 | ||
Character | \(\chi\) | \(=\) | 460.11 |
Dual form | 460.2.q.a.251.11 |
$q$-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 \(\left(\mathbb{Z}/460\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(277\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{9}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.18308 | − | 0.774803i | −0.836565 | − | 0.547868i | ||||
\(3\) | 3.11182 | + | 0.447412i | 1.79661 | + | 0.258313i | 0.958071 | − | 0.286530i | \(-0.0925017\pi\) |
0.838538 | + | 0.544843i | \(0.183411\pi\) | |||||||
\(4\) | 0.799362 | + | 1.83331i | 0.399681 | + | 0.916654i | ||||
\(5\) | −0.281733 | − | 0.959493i | −0.125995 | − | 0.429098i | ||||
\(6\) | −3.33488 | − | 2.94037i | −1.36146 | − | 1.20040i | ||||
\(7\) | 1.26361 | + | 1.45829i | 0.477601 | + | 0.551181i | 0.942510 | − | 0.334177i | \(-0.108458\pi\) |
−0.464909 | + | 0.885358i | \(0.653913\pi\) | |||||||
\(8\) | 0.474742 | − | 2.78830i | 0.167847 | − | 0.985813i | ||||
\(9\) | 6.60476 | + | 1.93933i | 2.20159 | + | 0.646444i | ||||
\(10\) | −0.410105 | + | 1.35345i | −0.129687 | + | 0.427997i | ||||
\(11\) | −0.236180 | − | 0.151784i | −0.0712109 | − | 0.0457645i | 0.504551 | − | 0.863382i | \(-0.331658\pi\) |
−0.575762 | + | 0.817617i | \(0.695294\pi\) | |||||||
\(12\) | 1.66723 | + | 6.06257i | 0.481287 | + | 1.75011i | ||||
\(13\) | −2.33114 | + | 2.69028i | −0.646542 | + | 0.746150i | −0.980517 | − | 0.196432i | \(-0.937064\pi\) |
0.333975 | + | 0.942582i | \(0.391610\pi\) | |||||||
\(14\) | −0.365072 | − | 2.70433i | −0.0975697 | − | 0.722761i | ||||
\(15\) | −0.447412 | − | 3.11182i | −0.115521 | − | 0.803468i | ||||
\(16\) | −2.72204 | + | 2.93095i | −0.680510 | + | 0.732739i | ||||
\(17\) | 3.37331 | − | 1.54054i | 0.818149 | − | 0.373636i | 0.0380370 | − | 0.999276i | \(-0.487890\pi\) |
0.780112 | + | 0.625640i | \(0.215162\pi\) | |||||||
\(18\) | −6.31137 | − | 7.41177i | −1.48760 | − | 1.74697i | ||||
\(19\) | 0.695216 | − | 1.52231i | 0.159493 | − | 0.349242i | −0.812967 | − | 0.582310i | \(-0.802149\pi\) |
0.972461 | + | 0.233068i | \(0.0748764\pi\) | |||||||
\(20\) | 1.53384 | − | 1.28348i | 0.342977 | − | 0.286996i | ||||
\(21\) | 3.27968 | + | 5.10329i | 0.715685 | + | 1.11363i | ||||
\(22\) | 0.161818 | + | 0.362565i | 0.0344996 | + | 0.0772991i | ||||
\(23\) | −1.57040 | − | 4.53143i | −0.327451 | − | 0.944868i | ||||
\(24\) | 2.72483 | − | 8.46428i | 0.556204 | − | 1.72776i | ||||
\(25\) | −0.841254 | + | 0.540641i | −0.168251 | + | 0.108128i | ||||
\(26\) | 4.84237 | − | 1.37665i | 0.949666 | − | 0.269982i | ||||
\(27\) | 11.1060 | + | 5.07193i | 2.13735 | + | 0.976094i | ||||
\(28\) | −1.66341 | + | 3.48230i | −0.314355 | + | 0.658092i | ||||
\(29\) | 1.75509 | + | 3.84310i | 0.325911 | + | 0.713646i | 0.999680 | − | 0.0252963i | \(-0.00805291\pi\) |
−0.673769 | + | 0.738942i | \(0.735326\pi\) | |||||||
\(30\) | −1.88172 | + | 4.02819i | −0.343554 | + | 0.735444i | ||||
\(31\) | −8.31174 | + | 1.19505i | −1.49283 | + | 0.214637i | −0.839884 | − | 0.542765i | \(-0.817377\pi\) |
−0.652948 | + | 0.757402i | \(0.726468\pi\) | |||||||
\(32\) | 5.49131 | − | 1.35851i | 0.970735 | − | 0.240153i | ||||
\(33\) | −0.667039 | − | 0.577993i | −0.116117 | − | 0.100616i | ||||
\(34\) | −5.18452 | − | 0.791067i | −0.889137 | − | 0.135667i | ||||
\(35\) | 1.04322 | − | 1.62328i | 0.176336 | − | 0.274384i | ||||
\(36\) | 1.72420 | + | 13.6588i | 0.287367 | + | 2.27647i | ||||
\(37\) | −0.508667 | + | 1.73236i | −0.0836243 | + | 0.284798i | −0.990680 | − | 0.136213i | \(-0.956507\pi\) |
0.907055 | + | 0.421012i | \(0.138325\pi\) | |||||||
\(38\) | −2.00199 | + | 1.26236i | −0.324765 | + | 0.204782i | ||||
\(39\) | −8.45775 | + | 7.32868i | −1.35432 | + | 1.17353i | ||||
\(40\) | −2.80911 | + | 0.330043i | −0.444159 | + | 0.0521844i | ||||
\(41\) | −1.23623 | + | 0.362988i | −0.193066 | + | 0.0566893i | −0.376836 | − | 0.926280i | \(-0.622988\pi\) |
0.183770 | + | 0.982969i | \(0.441170\pi\) | |||||||
\(42\) | 0.0739082 | − | 8.57871i | 0.0114043 | − | 1.32372i | ||||
\(43\) | 0.904775 | − | 6.29285i | 0.137977 | − | 0.959651i | −0.796756 | − | 0.604301i | \(-0.793453\pi\) |
0.934733 | − | 0.355350i | \(-0.115638\pi\) | |||||||
\(44\) | 0.0894729 | − | 0.554321i | 0.0134886 | − | 0.0835670i | ||||
\(45\) | − | 6.88359i | − | 1.02615i | ||||||
\(46\) | −1.65305 | + | 6.57780i | −0.243729 | + | 0.969843i | ||||
\(47\) | 8.65171i | 1.26198i | 0.775790 | + | 0.630991i | \(0.217352\pi\) | ||||
−0.775790 | + | 0.630991i | \(0.782648\pi\) | |||||||
\(48\) | −9.78184 | + | 7.90273i | −1.41189 | + | 1.14066i | ||||
\(49\) | 0.466319 | − | 3.24332i | 0.0666170 | − | 0.463332i | ||||
\(50\) | 1.41416 | + | 0.0121834i | 0.199993 | + | 0.00172300i | ||||
\(51\) | 11.1864 | − | 3.28462i | 1.56641 | − | 0.459939i | ||||
\(52\) | −6.79554 | − | 2.12319i | −0.942372 | − | 0.294434i | ||||
\(53\) | 4.39228 | − | 3.80593i | 0.603326 | − | 0.522785i | −0.298768 | − | 0.954326i | \(-0.596576\pi\) |
0.902093 | + | 0.431541i | \(0.142030\pi\) | |||||||
\(54\) | −9.20953 | − | 14.6055i | −1.25326 | − | 1.98755i | ||||
\(55\) | −0.0790957 | + | 0.269375i | −0.0106653 | + | 0.0363226i | ||||
\(56\) | 4.66604 | − | 2.83103i | 0.623525 | − | 0.378312i | ||||
\(57\) | 2.84449 | − | 4.42611i | 0.376761 | − | 0.586252i | ||||
\(58\) | 0.901236 | − | 5.90654i | 0.118338 | − | 0.775567i | ||||
\(59\) | −8.74247 | − | 7.57539i | −1.13817 | − | 0.986232i | −0.138181 | − | 0.990407i | \(-0.544125\pi\) |
−0.999991 | + | 0.00417534i | \(0.998671\pi\) | |||||||
\(60\) | 5.34728 | − | 3.30771i | 0.690331 | − | 0.427024i | ||||
\(61\) | 13.0526 | − | 1.87668i | 1.67122 | − | 0.240285i | 0.759324 | − | 0.650713i | \(-0.225530\pi\) |
0.911893 | + | 0.410429i | \(0.134621\pi\) | |||||||
\(62\) | 10.7594 | + | 5.02612i | 1.36644 | + | 0.638318i | ||||
\(63\) | 5.51776 | + | 12.0822i | 0.695173 | + | 1.52222i | ||||
\(64\) | −7.54924 | − | 2.64745i | −0.943655 | − | 0.330931i | ||||
\(65\) | 3.23806 | + | 1.47877i | 0.401632 | + | 0.183419i | ||||
\(66\) | 0.341331 | + | 1.20064i | 0.0420150 | + | 0.147788i | ||||
\(67\) | −9.91552 | + | 6.37232i | −1.21137 | + | 0.778503i | −0.980888 | − | 0.194573i | \(-0.937668\pi\) |
−0.230486 | + | 0.973076i | \(0.574032\pi\) | |||||||
\(68\) | 5.52078 | + | 4.95287i | 0.669493 | + | 0.600624i | ||||
\(69\) | −2.85938 | − | 14.8036i | −0.344229 | − | 1.78214i | ||||
\(70\) | −2.49193 | + | 1.11218i | −0.297842 | + | 0.132931i | ||||
\(71\) | −8.28526 | − | 12.8921i | −0.983280 | − | 1.53001i | −0.841600 | − | 0.540101i | \(-0.818386\pi\) |
−0.141680 | − | 0.989913i | \(-0.545250\pi\) | |||||||
\(72\) | 8.54300 | − | 17.4954i | 1.00680 | − | 2.06185i | ||||
\(73\) | 1.93297 | − | 4.23261i | 0.226237 | − | 0.495389i | −0.762140 | − | 0.647412i | \(-0.775851\pi\) |
0.988377 | + | 0.152023i | \(0.0485786\pi\) | |||||||
\(74\) | 1.94403 | − | 1.65541i | 0.225989 | − | 0.192437i | ||||
\(75\) | −2.85972 | + | 1.30599i | −0.330212 | + | 0.150803i | ||||
\(76\) | 3.34659 | + | 0.0576681i | 0.383881 | + | 0.00661499i | ||||
\(77\) | −0.0770960 | − | 0.536214i | −0.00878590 | − | 0.0611073i | ||||
\(78\) | 15.6845 | − | 2.11734i | 1.77592 | − | 0.239742i | ||||
\(79\) | −1.97958 | + | 2.28456i | −0.222721 | + | 0.257033i | −0.856102 | − | 0.516806i | \(-0.827121\pi\) |
0.633382 | + | 0.773839i | \(0.281666\pi\) | |||||||
\(80\) | 3.57912 | + | 1.78603i | 0.400158 | + | 0.199685i | ||||
\(81\) | 14.9180 | + | 9.58723i | 1.65756 | + | 1.06525i | ||||
\(82\) | 1.74380 | + | 0.528386i | 0.192570 | + | 0.0583504i | ||||
\(83\) | 14.5212 | + | 4.26380i | 1.59391 | + | 0.468013i | 0.953842 | − | 0.300309i | \(-0.0970899\pi\) |
0.640063 | + | 0.768322i | \(0.278908\pi\) | |||||||
\(84\) | −6.73424 | + | 10.0920i | −0.734766 | + | 1.10113i | ||||
\(85\) | −2.42851 | − | 2.80265i | −0.263409 | − | 0.303990i | ||||
\(86\) | −5.94614 | + | 6.74393i | −0.641189 | + | 0.727217i | ||||
\(87\) | 3.74206 | + | 12.7443i | 0.401191 | + | 1.36633i | ||||
\(88\) | −0.535343 | + | 0.586482i | −0.0570677 | + | 0.0625192i | ||||
\(89\) | −12.2568 | − | 1.76227i | −1.29922 | − | 0.186800i | −0.542233 | − | 0.840228i | \(-0.682421\pi\) |
−0.756989 | + | 0.653428i | \(0.773330\pi\) | |||||||
\(90\) | −5.33343 | + | 8.14385i | −0.562193 | + | 0.858437i | ||||
\(91\) | −6.86887 | −0.720053 | ||||||||
\(92\) | 7.05219 | − | 6.50128i | 0.735242 | − | 0.677805i | ||||
\(93\) | −26.3993 | −2.73748 | ||||||||
\(94\) | 6.70337 | − | 10.2357i | 0.691400 | − | 1.05573i | ||||
\(95\) | −1.65651 | − | 0.238170i | −0.169954 | − | 0.0244358i | ||||
\(96\) | 17.6958 | − | 1.77057i | 1.80607 | − | 0.180708i | ||||
\(97\) | 3.94614 | + | 13.4393i | 0.400670 | + | 1.36456i | 0.874963 | + | 0.484190i | \(0.160886\pi\) |
−0.474293 | + | 0.880367i | \(0.657296\pi\) | |||||||
\(98\) | −3.06463 | + | 3.47581i | −0.309574 | + | 0.351110i | ||||
\(99\) | −1.26555 | − | 1.46053i | −0.127193 | − | 0.146788i | ||||
\(100\) | −1.66363 | − | 1.11011i | −0.166363 | − | 0.111011i | ||||
\(101\) | −9.61167 | − | 2.82224i | −0.956397 | − | 0.280824i | −0.233949 | − | 0.972249i | \(-0.575165\pi\) |
−0.722448 | + | 0.691425i | \(0.756983\pi\) | |||||||
\(102\) | −15.7793 | − | 4.78127i | −1.56239 | − | 0.473417i | ||||
\(103\) | −8.47785 | − | 5.44838i | −0.835347 | − | 0.536845i | 0.0516257 | − | 0.998667i | \(-0.483560\pi\) |
−0.886973 | + | 0.461821i | \(0.847196\pi\) | |||||||
\(104\) | 6.39462 | + | 7.77711i | 0.627044 | + | 0.762609i | ||||
\(105\) | 3.97257 | − | 4.58459i | 0.387683 | − | 0.447411i | ||||
\(106\) | −8.14526 | + | 1.09958i | −0.791138 | + | 0.106800i | ||||
\(107\) | −0.962518 | − | 6.69446i | −0.0930502 | − | 0.647178i | −0.981959 | − | 0.189094i | \(-0.939445\pi\) |
0.888909 | − | 0.458084i | \(-0.151464\pi\) | |||||||
\(108\) | −0.420717 | + | 24.4150i | −0.0404835 | + | 2.34934i | ||||
\(109\) | −11.7583 | + | 5.36983i | −1.12624 | + | 0.514337i | −0.889363 | − | 0.457203i | \(-0.848851\pi\) |
−0.236878 | + | 0.971539i | \(0.576124\pi\) | |||||||
\(110\) | 0.302289 | − | 0.257409i | 0.0288222 | − | 0.0245430i | ||||
\(111\) | −2.35796 | + | 5.16321i | −0.223807 | + | 0.490070i | ||||
\(112\) | −7.71379 | − | 0.265925i | −0.728884 | − | 0.0251276i | ||||
\(113\) | 0.940583 | + | 1.46358i | 0.0884826 | + | 0.137682i | 0.882673 | − | 0.469987i | \(-0.155741\pi\) |
−0.794191 | + | 0.607668i | \(0.792105\pi\) | |||||||
\(114\) | −6.79462 | + | 3.03253i | −0.636374 | + | 0.284022i | ||||
\(115\) | −3.90544 | + | 2.78344i | −0.364184 | + | 0.259557i | ||||
\(116\) | −5.64264 | + | 6.28964i | −0.523906 | + | 0.583979i | ||||
\(117\) | −20.6140 | + | 13.2478i | −1.90576 | + | 1.22476i | ||||
\(118\) | 4.47361 | + | 15.7360i | 0.411830 | + | 1.44861i | ||||
\(119\) | 6.50912 | + | 2.97261i | 0.596690 | + | 0.272499i | ||||
\(120\) | −8.88909 | − | 0.229792i | −0.811459 | − | 0.0209771i | ||||
\(121\) | −4.53682 | − | 9.93426i | −0.412438 | − | 0.903114i | ||||
\(122\) | −16.8964 | − | 7.89293i | −1.52972 | − | 0.714593i | ||||
\(123\) | −4.00931 | + | 0.576452i | −0.361508 | + | 0.0519770i | ||||
\(124\) | −8.83498 | − | 14.2827i | −0.793405 | − | 1.28263i | ||||
\(125\) | 0.755750 | + | 0.654861i | 0.0675963 | + | 0.0585725i | ||||
\(126\) | 2.83337 | − | 18.5694i | 0.252417 | − | 1.65430i | ||||
\(127\) | −5.36574 | + | 8.34925i | −0.476132 | + | 0.740876i | −0.993369 | − | 0.114966i | \(-0.963324\pi\) |
0.517237 | + | 0.855842i | \(0.326960\pi\) | |||||||
\(128\) | 6.88011 | + | 8.98132i | 0.608122 | + | 0.793844i | ||||
\(129\) | 5.63099 | − | 19.1774i | 0.495781 | − | 1.68848i | ||||
\(130\) | −2.68513 | − | 4.25837i | −0.235502 | − | 0.373484i | ||||
\(131\) | −3.38487 | + | 2.93301i | −0.295738 | + | 0.256258i | −0.790072 | − | 0.613013i | \(-0.789957\pi\) |
0.494335 | + | 0.869272i | \(0.335412\pi\) | |||||||
\(132\) | 0.526433 | − | 1.68491i | 0.0458201 | − | 0.146653i | ||||
\(133\) | 3.09845 | − | 0.909788i | 0.268670 | − | 0.0788886i | ||||
\(134\) | 16.6682 | + | 0.143601i | 1.43991 | + | 0.0124053i | ||||
\(135\) | 1.73757 | − | 12.0850i | 0.149546 | − | 1.04011i | ||||
\(136\) | −2.69404 | − | 10.1372i | −0.231012 | − | 0.869255i | ||||
\(137\) | 21.2448i | 1.81507i | 0.419980 | + | 0.907533i | \(0.362037\pi\) | ||||
−0.419980 | + | 0.907533i | \(0.637963\pi\) | |||||||
\(138\) | −8.08698 | + | 19.7293i | −0.688410 | + | 1.67947i | ||||
\(139\) | 9.46499i | 0.802810i | 0.915901 | + | 0.401405i | \(0.131478\pi\) | ||||
−0.915901 | + | 0.401405i | \(0.868522\pi\) | |||||||
\(140\) | 3.80987 | + | 0.614952i | 0.321993 | + | 0.0519729i | ||||
\(141\) | −3.87088 | + | 26.9226i | −0.325987 | + | 2.26729i | ||||
\(142\) | −0.186710 | + | 21.6719i | −0.0156683 | + | 1.81866i | ||||
\(143\) | 0.958909 | − | 0.281561i | 0.0801880 | − | 0.0235453i | ||||
\(144\) | −23.6625 | + | 14.0793i | −1.97188 | + | 1.17328i | ||||
\(145\) | 3.19296 | − | 2.76672i | 0.265161 | − | 0.229763i | ||||
\(146\) | −5.56629 | + | 3.50985i | −0.460670 | + | 0.290477i | ||||
\(147\) | 2.90220 | − | 9.88399i | 0.239370 | − | 0.815218i | ||||
\(148\) | −3.58256 | + | 0.452240i | −0.294485 | + | 0.0371739i | ||||
\(149\) | −1.15697 | + | 1.80028i | −0.0947826 | + | 0.147485i | −0.885407 | − | 0.464817i | \(-0.846120\pi\) |
0.790624 | + | 0.612302i | \(0.209756\pi\) | |||||||
\(150\) | 4.39516 | + | 0.670625i | 0.358863 | + | 0.0547563i | ||||
\(151\) | −4.68070 | − | 4.05585i | −0.380910 | − | 0.330060i | 0.443270 | − | 0.896388i | \(-0.353818\pi\) |
−0.824180 | + | 0.566328i | \(0.808364\pi\) | |||||||
\(152\) | −3.91461 | − | 2.66118i | −0.317517 | − | 0.215850i | ||||
\(153\) | 25.2675 | − | 3.63292i | 2.04276 | − | 0.293705i | ||||
\(154\) | −0.324249 | + | 0.694119i | −0.0261288 | + | 0.0559337i | ||||
\(155\) | 3.48833 | + | 7.63837i | 0.280189 | + | 0.613529i | ||||
\(156\) | −20.1965 | − | 9.64740i | −1.61702 | − | 0.772410i | ||||
\(157\) | 20.1149 | + | 9.18617i | 1.60534 | + | 0.733136i | 0.998114 | − | 0.0613903i | \(-0.0195534\pi\) |
0.607230 | + | 0.794526i | \(0.292281\pi\) | |||||||
\(158\) | 4.11209 | − | 1.16903i | 0.327140 | − | 0.0930034i | ||||
\(159\) | 15.3708 | − | 9.87821i | 1.21898 | − | 0.783393i | ||||
\(160\) | −2.85056 | − | 4.88613i | −0.225357 | − | 0.386283i | ||||
\(161\) | 4.62375 | − | 8.01607i | 0.364403 | − | 0.631755i | ||||
\(162\) | −10.2210 | − | 22.9010i | −0.803039 | − | 1.79927i | ||||
\(163\) | −3.36695 | − | 5.23908i | −0.263720 | − | 0.410357i | 0.683989 | − | 0.729493i | \(-0.260244\pi\) |
−0.947709 | + | 0.319136i | \(0.896607\pi\) | |||||||
\(164\) | −1.65366 | − | 1.97622i | −0.129129 | − | 0.154317i | ||||
\(165\) | −0.366653 | + | 0.802859i | −0.0285439 | + | 0.0625025i | ||||
\(166\) | −13.8761 | − | 16.2955i | −1.07700 | − | 1.26477i | ||||
\(167\) | 7.12007 | − | 3.25163i | 0.550968 | − | 0.251618i | −0.120422 | − | 0.992723i | \(-0.538425\pi\) |
0.671390 | + | 0.741104i | \(0.265698\pi\) | |||||||
\(168\) | 15.7865 | − | 6.72200i | 1.21795 | − | 0.518613i | ||||
\(169\) | 0.0467037 | + | 0.324832i | 0.00359260 | + | 0.0249871i | ||||
\(170\) | 0.701624 | + | 5.19738i | 0.0538121 | + | 0.398621i | ||||
\(171\) | 7.54400 | − | 8.70624i | 0.576904 | − | 0.665783i | ||||
\(172\) | 12.2600 | − | 3.37153i | 0.934815 | − | 0.257077i | ||||
\(173\) | −15.6994 | − | 10.0894i | −1.19361 | − | 0.767083i | −0.215767 | − | 0.976445i | \(-0.569225\pi\) |
−0.977838 | + | 0.209361i | \(0.932861\pi\) | |||||||
\(174\) | 5.44714 | − | 17.9769i | 0.412947 | − | 1.36282i | ||||
\(175\) | −1.85143 | − | 0.543629i | −0.139955 | − | 0.0410945i | ||||
\(176\) | 1.08776 | − | 0.279071i | 0.0819931 | − | 0.0210358i | ||||
\(177\) | −23.8156 | − | 27.4847i | −1.79009 | − | 2.06588i | ||||
\(178\) | 13.1354 | + | 11.5815i | 0.984542 | + | 0.868073i | ||||
\(179\) | 1.48437 | + | 5.05529i | 0.110947 | + | 0.377850i | 0.996183 | − | 0.0872919i | \(-0.0278213\pi\) |
−0.885236 | + | 0.465142i | \(0.846003\pi\) | |||||||
\(180\) | 12.6198 | − | 5.50248i | 0.940621 | − | 0.410131i | ||||
\(181\) | −4.58688 | − | 0.659493i | −0.340940 | − | 0.0490198i | −0.0302816 | − | 0.999541i | \(-0.509640\pi\) |
−0.310658 | + | 0.950522i | \(0.600549\pi\) | |||||||
\(182\) | 8.12643 | + | 5.32202i | 0.602371 | + | 0.394494i | ||||
\(183\) | 41.4570 | 3.06459 | ||||||||
\(184\) | −13.3805 | + | 2.22749i | −0.986425 | + | 0.164212i | ||||
\(185\) | 1.80550 | 0.132743 | ||||||||
\(186\) | 31.2325 | + | 20.4543i | 2.29008 | + | 1.49978i | ||||
\(187\) | −1.03054 | − | 0.148169i | −0.0753604 | − | 0.0108352i | ||||
\(188\) | −15.8613 | + | 6.91585i | −1.15680 | + | 0.504390i | ||||
\(189\) | 6.63734 | + | 22.6047i | 0.482795 | + | 1.64425i | ||||
\(190\) | 1.77525 | + | 1.56524i | 0.128790 | + | 0.113555i | ||||
\(191\) | −11.8525 | − | 13.6785i | −0.857615 | − | 0.989741i | 0.142385 | − | 0.989811i | \(-0.454523\pi\) |
−1.00000 | 7.07553e-5i | \(0.999977\pi\) | ||||||||
\(192\) | −22.3074 | − | 11.6160i | −1.60990 | − | 0.838312i | ||||
\(193\) | 13.2569 | + | 3.89258i | 0.954253 | + | 0.280194i | 0.721557 | − | 0.692356i | \(-0.243427\pi\) |
0.232696 | + | 0.972549i | \(0.425245\pi\) | |||||||
\(194\) | 5.74422 | − | 18.9573i | 0.412411 | − | 1.36105i | ||||
\(195\) | 9.41465 | + | 6.05043i | 0.674197 | + | 0.433280i | ||||
\(196\) | 6.31877 | − | 1.73768i | 0.451341 | − | 0.124120i | ||||
\(197\) | 4.00754 | − | 4.62494i | 0.285525 | − | 0.329514i | −0.594809 | − | 0.803867i | \(-0.702773\pi\) |
0.880335 | + | 0.474353i | \(0.157318\pi\) | |||||||
\(198\) | 0.365632 | + | 2.70847i | 0.0259844 | + | 0.192483i | ||||
\(199\) | −0.472168 | − | 3.28400i | −0.0334711 | − | 0.232797i | 0.966218 | − | 0.257726i | \(-0.0829731\pi\) |
−0.999689 | + | 0.0249291i | \(0.992064\pi\) | |||||||
\(200\) | 1.10809 | + | 2.60233i | 0.0783538 | + | 0.184013i | ||||
\(201\) | −33.7064 | + | 15.3932i | −2.37746 | + | 1.08575i | ||||
\(202\) | 9.18471 | + | 10.7861i | 0.646234 | + | 0.758907i | ||||
\(203\) | −3.38660 | + | 7.41562i | −0.237693 | + | 0.520474i | ||||
\(204\) | 14.9637 | + | 17.8825i | 1.04767 | + | 1.25203i | ||||
\(205\) | 0.696570 | + | 1.08388i | 0.0486505 | + | 0.0757017i | ||||
\(206\) | 5.80856 | + | 13.0145i | 0.404702 | + | 0.906766i | ||||
\(207\) | −1.58417 | − | 32.9745i | −0.110107 | − | 2.29189i | ||||
\(208\) | −1.53963 | − | 14.1555i | −0.106754 | − | 0.981509i | ||||
\(209\) | −0.395258 | + | 0.254017i | −0.0273405 | + | 0.0175707i | ||||
\(210\) | −8.25203 | + | 2.34599i | −0.569444 | + | 0.161888i | ||||
\(211\) | 14.4220 | + | 6.58628i | 0.992848 | + | 0.453419i | 0.844522 | − | 0.535520i | \(-0.179884\pi\) |
0.148326 | + | 0.988939i | \(0.452612\pi\) | |||||||
\(212\) | 10.4885 | + | 5.01008i | 0.720351 | + | 0.344094i | ||||
\(213\) | −20.0141 | − | 43.8249i | −1.37135 | − | 3.00283i | ||||
\(214\) | −4.04815 | + | 8.66585i | −0.276726 | + | 0.592386i | ||||
\(215\) | −6.29285 | + | 0.904775i | −0.429169 | + | 0.0617052i | ||||
\(216\) | 19.4146 | − | 28.5590i | 1.32099 | − | 1.94319i | ||||
\(217\) | −12.2456 | − | 10.6108i | −0.831283 | − | 0.720311i | ||||
\(218\) | 18.0716 | + | 2.75741i | 1.22396 | + | 0.186755i | ||||
\(219\) | 7.90877 | − | 12.3063i | 0.534425 | − | 0.831581i | ||||
\(220\) | −0.557074 | + | 0.0703215i | −0.0375579 | + | 0.00474107i | ||||
\(221\) | −3.71918 | + | 12.6664i | −0.250179 | + | 0.852033i | ||||
\(222\) | 6.79012 | − | 4.28154i | 0.455723 | − | 0.287358i | ||||
\(223\) | −15.8080 | + | 13.6977i | −1.05858 | + | 0.917268i | −0.996729 | − | 0.0808175i | \(-0.974247\pi\) |
−0.0618544 | + | 0.998085i | \(0.519701\pi\) | |||||||
\(224\) | 8.92000 | + | 6.29127i | 0.595992 | + | 0.420353i | ||||
\(225\) | −6.60476 | + | 1.93933i | −0.440317 | + | 0.129289i | ||||
\(226\) | 0.0211962 | − | 2.46029i | 0.00140995 | − | 0.163656i | ||||
\(227\) | 3.84830 | − | 26.7655i | 0.255421 | − | 1.77649i | −0.309059 | − | 0.951043i | \(-0.600014\pi\) |
0.564480 | − | 0.825447i | \(-0.309077\pi\) | |||||||
\(228\) | 10.3882 | + | 1.67676i | 0.687975 | + | 0.111046i | ||||
\(229\) | − | 11.0020i | − | 0.727035i | −0.931587 | − | 0.363518i | \(-0.881576\pi\) | ||
0.931587 | − | 0.363518i | \(-0.118424\pi\) | |||||||
\(230\) | 6.77707 | − | 0.267088i | 0.446867 | − | 0.0176112i | ||||
\(231\) | − | 1.70310i | − | 0.112055i | ||||||
\(232\) | 11.5489 | − | 3.06922i | 0.758225 | − | 0.201504i | ||||
\(233\) | −3.52974 | + | 24.5499i | −0.231241 | + | 1.60832i | 0.461508 | + | 0.887136i | \(0.347309\pi\) |
−0.692749 | + | 0.721179i | \(0.743600\pi\) | |||||||
\(234\) | 34.6524 | + | 0.298541i | 2.26530 | + | 0.0195163i | ||||
\(235\) | 8.30126 | − | 2.43747i | 0.541514 | − | 0.159003i | ||||
\(236\) | 6.89963 | − | 22.0831i | 0.449128 | − | 1.43749i | ||||
\(237\) | −7.18224 | + | 6.22345i | −0.466537 | + | 0.404257i | ||||
\(238\) | −5.39763 | − | 8.56013i | −0.349876 | − | 0.554871i | ||||
\(239\) | −0.0111991 | + | 0.0381406i | −0.000724409 | + | 0.00246711i | −0.959854 | − | 0.280499i | \(-0.909500\pi\) |
0.959130 | + | 0.282966i | \(0.0913183\pi\) | |||||||
\(240\) | 10.3385 | + | 7.15915i | 0.667346 | + | 0.462121i | ||||
\(241\) | 5.54812 | − | 8.63305i | 0.357386 | − | 0.556104i | −0.615281 | − | 0.788308i | \(-0.710957\pi\) |
0.972667 | + | 0.232204i | \(0.0745938\pi\) | |||||||
\(242\) | −2.32966 | + | 15.2682i | −0.149756 | + | 0.981475i | ||||
\(243\) | 14.4512 | + | 12.5220i | 0.927044 | + | 0.803288i | ||||
\(244\) | 13.8743 | + | 22.4293i | 0.888211 | + | 1.43589i | ||||
\(245\) | −3.24332 | + | 0.466319i | −0.207208 | + | 0.0297920i | ||||
\(246\) | 5.18998 | + | 2.42444i | 0.330901 | + | 0.154576i | ||||
\(247\) | 2.47480 | + | 5.41905i | 0.157467 | + | 0.344806i | ||||
\(248\) | −0.613780 | + | 23.7430i | −0.0389751 | + | 1.50768i | ||||
\(249\) | 43.2796 | + | 19.7651i | 2.74273 | + | 1.25256i | ||||
\(250\) | −0.386725 | − | 1.36031i | −0.0244587 | − | 0.0860336i | ||||
\(251\) | 15.5508 | − | 9.99390i | 0.981559 | − | 0.630810i | 0.0516755 | − | 0.998664i | \(-0.483544\pi\) |
0.929883 | + | 0.367854i | \(0.119907\pi\) | |||||||
\(252\) | −17.7397 | + | 19.7738i | −1.11750 | + | 1.24563i | ||||
\(253\) | −0.316900 | + | 1.30859i | −0.0199233 | + | 0.0822705i | ||||
\(254\) | 12.8171 | − | 5.72045i | 0.804218 | − | 0.358933i | ||||
\(255\) | −6.30314 | − | 9.80788i | −0.394718 | − | 0.614193i | ||||
\(256\) | −1.18099 | − | 15.9564i | −0.0738117 | − | 0.997272i | ||||
\(257\) | 5.96042 | − | 13.0515i | 0.371801 | − | 0.814130i | −0.627567 | − | 0.778563i | \(-0.715949\pi\) |
0.999367 | − | 0.0355670i | \(-0.0113237\pi\) | |||||||
\(258\) | −21.5206 | + | 18.3255i | −1.33982 | + | 1.14090i | ||||
\(259\) | −3.16904 | + | 1.44725i | −0.196915 | + | 0.0899278i | ||||
\(260\) | −0.122664 | + | 7.11845i | −0.00760732 | + | 0.441467i | ||||
\(261\) | 4.13887 | + | 28.7865i | 0.256189 | + | 1.78184i | ||||
\(262\) | 6.27708 | − | 0.847379i | 0.387799 | − | 0.0523513i | ||||
\(263\) | 3.47862 | − | 4.01454i | 0.214501 | − | 0.247547i | −0.638295 | − | 0.769792i | \(-0.720360\pi\) |
0.852795 | + | 0.522245i | \(0.174905\pi\) | |||||||
\(264\) | −1.92829 | + | 1.58551i | −0.118678 | + | 0.0975813i | ||||
\(265\) | −4.88921 | − | 3.14210i | −0.300342 | − | 0.193018i | ||||
\(266\) | −4.37063 | − | 1.32434i | −0.267980 | − | 0.0812003i | ||||
\(267\) | −37.3526 | − | 10.9677i | −2.28594 | − | 0.671213i | ||||
\(268\) | −19.6085 | − | 13.0844i | −1.19778 | − | 0.799258i | ||||
\(269\) | 5.37341 | + | 6.20125i | 0.327623 | + | 0.378097i | 0.895534 | − | 0.444993i | \(-0.146794\pi\) |
−0.567911 | + | 0.823090i | \(0.692248\pi\) | |||||||
\(270\) | −11.4192 | + | 12.9513i | −0.694951 | + | 0.788192i | ||||
\(271\) | 7.69650 | + | 26.2119i | 0.467529 | + | 1.59226i | 0.769307 | + | 0.638879i | \(0.220602\pi\) |
−0.301778 | + | 0.953378i | \(0.597580\pi\) | |||||||
\(272\) | −4.66704 | + | 14.0804i | −0.282981 | + | 0.853752i | ||||
\(273\) | −21.3747 | − | 3.07321i | −1.29365 | − | 0.185999i | ||||
\(274\) | 16.4605 | − | 25.1343i | 0.994417 | − | 1.51842i | ||||
\(275\) | 0.280748 | 0.0169297 | ||||||||
\(276\) | 24.8539 | − | 17.0756i | 1.49603 | − | 1.02783i | ||||
\(277\) | 6.61823 | 0.397651 | 0.198825 | − | 0.980035i | \(-0.436287\pi\) | ||||
0.198825 | + | 0.980035i | \(0.436287\pi\) | |||||||
\(278\) | 7.33350 | − | 11.1979i | 0.439834 | − | 0.671603i | ||||
\(279\) | −57.2147 | − | 8.22623i | −3.42535 | − | 0.492491i | ||||
\(280\) | −4.03092 | − | 3.67944i | −0.240894 | − | 0.219888i | ||||
\(281\) | 3.28219 | + | 11.1781i | 0.195799 | + | 0.666830i | 0.997600 | + | 0.0692389i | \(0.0220571\pi\) |
−0.801801 | + | 0.597591i | \(0.796125\pi\) | |||||||
\(282\) | 25.4392 | − | 28.8524i | 1.51488 | − | 1.71814i | ||||
\(283\) | −3.14131 | − | 3.62527i | −0.186732 | − | 0.215500i | 0.654663 | − | 0.755921i | \(-0.272810\pi\) |
−0.841395 | + | 0.540421i | \(0.818265\pi\) | |||||||
\(284\) | 17.0123 | − | 25.4949i | 1.00950 | − | 1.51285i | ||||
\(285\) | −5.04820 | − | 1.48229i | −0.299030 | − | 0.0878030i | ||||
\(286\) | −1.35262 | − | 0.409856i | −0.0799822 | − | 0.0242353i | ||||
\(287\) | −2.09145 | − | 1.34410i | −0.123455 | − | 0.0793394i | ||||
\(288\) | 38.9034 | + | 1.67682i | 2.29240 | + | 0.0988075i | ||||
\(289\) | −2.12666 | + | 2.45429i | −0.125097 | + | 0.144370i | ||||
\(290\) | −5.92120 | + | 0.799336i | −0.347705 | + | 0.0469386i | ||||
\(291\) | 6.26676 | + | 43.5863i | 0.367364 | + | 2.55507i | ||||
\(292\) | 9.30482 | + | 0.160340i | 0.544523 | + | 0.00938317i | ||||
\(293\) | 28.4390 | − | 12.9876i | 1.66142 | − | 0.758746i | 0.661461 | − | 0.749980i | \(-0.269937\pi\) |
0.999962 | − | 0.00876636i | \(-0.00279045\pi\) | |||||||
\(294\) | −11.0917 | + | 9.44493i | −0.646880 | + | 0.550840i | ||||
\(295\) | −4.80550 | + | 10.5226i | −0.279787 | + | 0.612648i | ||||
\(296\) | 4.58885 | + | 2.24074i | 0.266722 | + | 0.130240i | ||||
\(297\) | −1.85317 | − | 2.88359i | −0.107532 | − | 0.167323i | ||||
\(298\) | 2.76365 | − | 1.23345i | 0.160094 | − | 0.0714520i | ||||
\(299\) | 15.8516 | + | 6.33858i | 0.916724 | + | 0.366570i | ||||
\(300\) | −4.68023 | − | 4.19879i | −0.270213 | − | 0.242417i | ||||
\(301\) | 10.3201 | − | 6.63231i | 0.594839 | − | 0.382280i | ||||
\(302\) | 2.39517 | + | 8.42502i | 0.137826 | + | 0.484805i | ||||
\(303\) | −28.6471 | − | 13.0827i | −1.64573 | − | 0.751581i | ||||
\(304\) | 2.56942 | + | 6.18144i | 0.147366 | + | 0.354530i | ||||
\(305\) | −5.47801 | − | 11.9952i | −0.313670 | − | 0.686842i | ||||
\(306\) | −32.7084 | − | 15.2793i | −1.86981 | − | 0.873460i | ||||
\(307\) | −14.1162 | + | 2.02960i | −0.805652 | + | 0.115835i | −0.532822 | − | 0.846227i | \(-0.678869\pi\) |
−0.272830 | + | 0.962062i | \(0.587960\pi\) | |||||||
\(308\) | 0.921419 | − | 0.569970i | 0.0525027 | − | 0.0324771i | ||||
\(309\) | −23.9439 | − | 20.7475i | −1.36212 | − | 1.18028i | ||||
\(310\) | 1.79126 | − | 11.7396i | 0.101736 | − | 0.666763i | ||||
\(311\) | −4.37442 | + | 6.80674i | −0.248051 | + | 0.385975i | −0.942844 | − | 0.333235i | \(-0.891860\pi\) |
0.694793 | + | 0.719210i | \(0.255496\pi\) | |||||||
\(312\) | 16.4193 | + | 27.0620i | 0.929561 | + | 1.53208i | ||||
\(313\) | 1.18117 | − | 4.02271i | 0.0667638 | − | 0.227377i | −0.919352 | − | 0.393436i | \(-0.871286\pi\) |
0.986116 | + | 0.166060i | \(0.0531044\pi\) | |||||||
\(314\) | −16.6801 | − | 26.4531i | −0.941312 | − | 1.49283i | ||||
\(315\) | 10.0383 | − | 8.69821i | 0.565592 | − | 0.490088i | ||||
\(316\) | −5.77071 | − | 1.80300i | −0.324628 | − | 0.101426i | ||||
\(317\) | 22.2895 | − | 6.54478i | 1.25190 | − | 0.367592i | 0.412428 | − | 0.910990i | \(-0.364681\pi\) |
0.839475 | + | 0.543399i | \(0.182863\pi\) | |||||||
\(318\) | −25.8385 | − | 0.222607i | −1.44895 | − | 0.0124832i | ||||
\(319\) | 0.168804 | − | 1.17406i | 0.00945120 | − | 0.0657345i | ||||
\(320\) | −0.413340 | + | 7.98931i | −0.0231064 | + | 0.446616i | ||||
\(321\) | − | 21.2626i | − | 1.18676i | ||||||
\(322\) | −11.6811 | + | 5.90117i | −0.650965 | + | 0.328859i | ||||
\(323\) | − | 6.20624i | − | 0.345324i | ||||||
\(324\) | −5.65145 | + | 35.0130i | −0.313970 | + | 1.94517i | ||||
\(325\) | 0.506605 | − | 3.52352i | 0.0281014 | − | 0.195450i | ||||
\(326\) | −0.0758749 | + | 8.80698i | −0.00420232 | + | 0.487774i | ||||
\(327\) | −38.9922 | + | 11.4491i | −2.15627 | + | 0.633139i | ||||
\(328\) | 0.425233 | + | 3.61929i | 0.0234796 | + | 0.199842i | ||||
\(329\) | −12.6167 | + | 10.9324i | −0.695581 | + | 0.602724i | ||||
\(330\) | 1.05584 | − | 0.665763i | 0.0581219 | − | 0.0366491i | ||||
\(331\) | 2.13671 | − | 7.27697i | 0.117444 | − | 0.399979i | −0.879697 | − | 0.475534i | \(-0.842255\pi\) |
0.997142 | + | 0.0755555i | \(0.0240730\pi\) | |||||||
\(332\) | 3.79081 | + | 30.0301i | 0.208048 | + | 1.64812i | ||||
\(333\) | −6.71924 | + | 10.4553i | −0.368212 | + | 0.572950i | ||||
\(334\) | −10.9430 | − | 1.66971i | −0.598774 | − | 0.0913625i | ||||
\(335\) | 8.90772 | + | 7.71859i | 0.486681 | + | 0.421711i | ||||
\(336\) | −23.8849 | − | 4.27875i | −1.30303 | − | 0.233425i | ||||
\(337\) | 17.3150 | − | 2.48953i | 0.943210 | − | 0.135613i | 0.346482 | − | 0.938057i | \(-0.387376\pi\) |
0.596728 | + | 0.802443i | \(0.296467\pi\) | |||||||
\(338\) | 0.196426 | − | 0.420488i | 0.0106842 | − | 0.0228716i | ||||
\(339\) | 2.27210 | + | 4.97521i | 0.123404 | + | 0.270216i | ||||
\(340\) | 3.19686 | − | 6.69254i | 0.173374 | − | 0.362954i | ||||
\(341\) | 2.14445 | + | 0.979340i | 0.116129 | + | 0.0530342i | ||||
\(342\) | −15.6708 | + | 4.45508i | −0.847379 | + | 0.240903i | ||||
\(343\) | 16.6819 | − | 10.7208i | 0.900737 | − | 0.578868i | ||||
\(344\) | −17.1168 | − | 5.51027i | −0.922877 | − | 0.297094i | ||||
\(345\) | −13.3984 | + | 6.91421i | −0.721344 | + | 0.372249i | ||||
\(346\) | 10.7564 | + | 24.1005i | 0.578267 | + | 1.29565i | ||||
\(347\) | 5.06095 | + | 7.87499i | 0.271686 | + | 0.422752i | 0.950108 | − | 0.311921i | \(-0.100972\pi\) |
−0.678422 | + | 0.734672i | \(0.737336\pi\) | |||||||
\(348\) | −20.3729 | + | 17.0476i | −1.09210 | + | 0.913849i | ||||
\(349\) | 1.98249 | − | 4.34104i | 0.106120 | − | 0.232371i | −0.849121 | − | 0.528198i | \(-0.822868\pi\) |
0.955241 | + | 0.295827i | \(0.0955952\pi\) | |||||||
\(350\) | 1.76919 | + | 2.07765i | 0.0945670 | + | 0.111055i | ||||
\(351\) | −39.5345 | + | 18.0548i | −2.11020 | + | 0.963695i | ||||
\(352\) | −1.50314 | − | 0.512637i | −0.0801174 | − | 0.0273236i | ||||
\(353\) | −0.111679 | − | 0.776746i | −0.00594408 | − | 0.0413420i | 0.986634 | − | 0.162955i | \(-0.0521025\pi\) |
−0.992578 | + | 0.121613i | \(0.961193\pi\) | |||||||
\(354\) | 6.88061 | + | 50.9691i | 0.365700 | + | 2.70898i | ||||
\(355\) | −10.0357 | + | 11.5818i | −0.532638 | + | 0.614697i | ||||
\(356\) | −6.56687 | − | 23.8793i | −0.348043 | − | 1.26560i | ||||
\(357\) | 18.9252 | + | 12.1625i | 1.00163 | + | 0.643708i | ||||
\(358\) | 2.16073 | − | 7.13092i | 0.114198 | − | 0.376881i | ||||
\(359\) | −3.02820 | − | 0.889160i | −0.159822 | − | 0.0469281i | 0.200843 | − | 0.979624i | \(-0.435632\pi\) |
−0.360665 | + | 0.932695i | \(0.617450\pi\) | |||||||
\(360\) | −19.1935 | − | 3.26793i | −1.01159 | − | 0.172235i | ||||
\(361\) | 10.6083 | + | 12.2426i | 0.558329 | + | 0.644346i | ||||
\(362\) | 4.91567 | + | 4.33416i | 0.258362 | + | 0.227798i | ||||
\(363\) | −9.67306 | − | 32.9434i | −0.507704 | − | 1.72908i | ||||
\(364\) | −5.49071 | − | 12.5928i | −0.287792 | − | 0.660040i | ||||
\(365\) | −4.60574 | − | 0.662205i | −0.241075 | − | 0.0346614i | ||||
\(366\) | −49.0470 | − | 32.1210i | −2.56373 | − | 1.67899i | ||||
\(367\) | 21.8815 | 1.14221 | 0.571103 | − | 0.820878i | \(-0.306516\pi\) | ||||
0.571103 | + | 0.820878i | \(0.306516\pi\) | |||||||
\(368\) | 17.5561 | + | 7.73196i | 0.915175 | + | 0.403056i | ||||
\(369\) | −8.86893 | −0.461698 | ||||||||
\(370\) | −2.13605 | − | 1.39890i | −0.111048 | − | 0.0727255i | ||||
\(371\) | 11.1003 | + | 1.59598i | 0.576298 | + | 0.0828592i | ||||
\(372\) | −21.1026 | − | 48.3981i | −1.09412 | − | 2.50932i | ||||
\(373\) | −5.51054 | − | 18.7672i | −0.285325 | − | 0.971728i | −0.970046 | − | 0.242922i | \(-0.921894\pi\) |
0.684721 | − | 0.728806i | \(-0.259924\pi\) | |||||||
\(374\) | 1.10441 | + | 0.973759i | 0.0571076 | + | 0.0503519i | ||||
\(375\) | 2.05876 | + | 2.37594i | 0.106314 | + | 0.122693i | ||||
\(376\) | 24.1236 | + | 4.10733i | 1.24408 | + | 0.211820i | ||||
\(377\) | −14.4304 | − | 4.23714i | −0.743202 | − | 0.218224i | ||||
\(378\) | 9.66167 | − | 31.8858i | 0.496943 | − | 1.64003i | ||||
\(379\) | 13.1394 | + | 8.44415i | 0.674923 | + | 0.433747i | 0.832697 | − | 0.553728i | \(-0.186795\pi\) |
−0.157774 | + | 0.987475i | \(0.550432\pi\) | |||||||
\(380\) | −0.887512 | − | 3.22728i | −0.0455284 | − | 0.165556i | ||||
\(381\) | −20.4328 | + | 23.5807i | −1.04680 | + | 1.20807i | ||||
\(382\) | 3.42431 | + | 25.3661i | 0.175203 | + | 1.29784i | ||||
\(383\) | −1.47990 | − | 10.2930i | −0.0756196 | − | 0.525946i | −0.992059 | − | 0.125772i | \(-0.959859\pi\) |
0.916440 | − | 0.400173i | \(-0.131050\pi\) | |||||||
\(384\) | 17.3913 | + | 31.0265i | 0.887497 | + | 1.58331i | ||||
\(385\) | −0.492773 | + | 0.225042i | −0.0251141 | + | 0.0114692i | ||||
\(386\) | −12.6680 | − | 14.8767i | −0.644785 | − | 0.757205i | ||||
\(387\) | 18.1798 | − | 39.8081i | 0.924129 | − | 2.02356i | ||||
\(388\) | −21.4840 | + | 17.9774i | −1.09069 | + | 0.912663i | ||||
\(389\) | 7.67413 | + | 11.9412i | 0.389094 | + | 0.605442i | 0.979447 | − | 0.201703i | \(-0.0646477\pi\) |
−0.590353 | + | 0.807145i | \(0.701011\pi\) | |||||||
\(390\) | −6.45040 | − | 14.4526i | −0.326629 | − | 0.731838i | ||||
\(391\) | −12.2783 | − | 12.8667i | −0.620940 | − | 0.650695i | ||||
\(392\) | −8.82198 | − | 2.83998i | −0.445577 | − | 0.143441i | ||||
\(393\) | −11.8454 | + | 7.61256i | −0.597520 | + | 0.384003i | ||||
\(394\) | −8.32466 | + | 2.36663i | −0.419390 | + | 0.119229i | ||||
\(395\) | 2.74973 | + | 1.25576i | 0.138354 | + | 0.0631842i | ||||
\(396\) | 1.66596 | − | 3.48764i | 0.0837176 | − | 0.175260i | ||||
\(397\) | 14.7866 | + | 32.3782i | 0.742119 | + | 1.62501i | 0.780038 | + | 0.625733i | \(0.215200\pi\) |
−0.0379189 | + | 0.999281i | \(0.512073\pi\) | |||||||
\(398\) | −1.98584 | + | 4.25108i | −0.0995411 | + | 0.213087i | ||||
\(399\) | 10.0489 | − | 1.44481i | 0.503073 | − | 0.0723310i | ||||
\(400\) | 0.705333 | − | 3.93732i | 0.0352666 | − | 0.196866i | ||||
\(401\) | −13.6627 | − | 11.8388i | −0.682284 | − | 0.591202i | 0.243206 | − | 0.969975i | \(-0.421801\pi\) |
−0.925490 | + | 0.378772i | \(0.876346\pi\) | |||||||
\(402\) | 51.8040 | + | 7.90440i | 2.58375 | + | 0.394235i | ||||
\(403\) | 16.1608 | − | 25.1467i | 0.805028 | − | 1.25265i | ||||
\(404\) | −2.50917 | − | 19.8772i | −0.124836 | − | 0.988926i | ||||
\(405\) | 4.99599 | − | 17.0148i | 0.248253 | − | 0.845471i | ||||
\(406\) | 9.75226 | − | 6.14933i | 0.483997 | − | 0.305186i | ||||
\(407\) | 0.383081 | − | 0.331941i | 0.0189886 | − | 0.0164537i | ||||
\(408\) | −3.84786 | − | 32.7504i | −0.190497 | − | 1.62139i | ||||
\(409\) | 12.0071 | − | 3.52560i | 0.593713 | − | 0.174330i | 0.0289470 | − | 0.999581i | \(-0.490785\pi\) |
0.564766 | + | 0.825251i | \(0.308966\pi\) | |||||||
\(410\) | 0.0156973 | − | 1.82203i | 0.000775235 | − | 0.0899835i | ||||
\(411\) | −9.50518 | + | 66.1100i | −0.468856 | + | 3.26097i | ||||
\(412\) | 3.21170 | − | 19.8977i | 0.158229 | − | 0.980291i | ||||
\(413\) | − | 22.3214i | − | 1.09836i | ||||||
\(414\) | −23.6746 | + | 40.2390i | −1.16354 | + | 1.97764i | ||||
\(415\) | − | 15.1342i | − | 0.742909i | ||||||
\(416\) | −9.14623 | + | 17.9400i | −0.448431 | + | 0.879583i | ||||
\(417\) | −4.23475 | + | 29.4533i | −0.207377 | + | 1.44234i | ||||
\(418\) | 0.664435 | + | 0.00572431i | 0.0324986 | + | 0.000279985i | ||||
\(419\) | −15.3529 | + | 4.50802i | −0.750038 | + | 0.220231i | −0.634341 | − | 0.773053i | \(-0.718728\pi\) |
−0.115697 | + | 0.993285i | \(0.536910\pi\) | |||||||
\(420\) | 11.5805 | + | 3.61820i | 0.565071 | + | 0.176550i | ||||
\(421\) | 15.6382 | − | 13.5505i | 0.762157 | − | 0.660413i | −0.184436 | − | 0.982845i | \(-0.559046\pi\) |
0.946593 | + | 0.322432i | \(0.104500\pi\) | |||||||
\(422\) | −11.9593 | − | 18.9663i | −0.582168 | − | 0.923264i | ||||
\(423\) | −16.7786 | + | 57.1425i | −0.815801 | + | 2.77836i | ||||
\(424\) | −8.52688 | − | 14.0538i | −0.414102 | − | 0.682514i | ||||
\(425\) | −2.00493 | + | 3.11974i | −0.0972535 | + | 0.151329i | ||||
\(426\) | −10.2773 | + | 67.3554i | −0.497935 | + | 3.26338i | ||||
\(427\) | 19.2302 | + | 16.6631i | 0.930615 | + | 0.806383i | ||||
\(428\) | 11.5036 | − | 7.11589i | 0.556048 | − | 0.343960i | ||||
\(429\) | 3.10993 | − | 0.447140i | 0.150149 | − | 0.0215881i | ||||
\(430\) | 8.14597 | + | 3.80529i | 0.392834 | + | 0.183508i | ||||
\(431\) | −5.61611 | − | 12.2976i | −0.270518 | − | 0.592352i | 0.724805 | − | 0.688954i | \(-0.241930\pi\) |
−0.995323 | + | 0.0966018i | \(0.969203\pi\) | |||||||
\(432\) | −45.0965 | + | 18.7451i | −2.16971 | + | 0.901875i | ||||
\(433\) | 21.0459 | + | 9.61134i | 1.01140 | + | 0.461891i | 0.851003 | − | 0.525161i | \(-0.175995\pi\) |
0.160398 | + | 0.987052i | \(0.448722\pi\) | |||||||
\(434\) | 6.26619 | + | 22.0414i | 0.300787 | + | 1.05802i | ||||
\(435\) | 11.1738 | − | 7.18096i | 0.535742 | − | 0.344301i | ||||
\(436\) | −19.2437 | − | 17.2641i | −0.921606 | − | 0.826802i | ||||
\(437\) | −7.99001 | − | 0.759685i | −0.382214 | − | 0.0363407i | ||||
\(438\) | −18.8916 | + | 8.43160i | −0.902678 | + | 0.402877i | ||||
\(439\) | 14.5836 | + | 22.6925i | 0.696037 | + | 1.08305i | 0.991801 | + | 0.127793i | \(0.0407894\pi\) |
−0.295764 | + | 0.955261i | \(0.595574\pi\) | |||||||
\(440\) | 0.713549 | + | 0.348426i | 0.0340171 | + | 0.0166106i | ||||
\(441\) | 9.36981 | − | 20.5170i | 0.446181 | − | 0.977001i | ||||
\(442\) | 14.2140 | − | 12.1037i | 0.676093 | − | 0.575715i | ||||
\(443\) | 0.772536 | − | 0.352805i | 0.0367043 | − | 0.0167623i | −0.396978 | − | 0.917828i | \(-0.629941\pi\) |
0.433683 | + | 0.901066i | \(0.357214\pi\) | |||||||
\(444\) | −11.3506 | − | 0.195593i | −0.538676 | − | 0.00928241i | ||||
\(445\) | 1.76227 | + | 12.2568i | 0.0835395 | + | 0.581030i | ||||
\(446\) | 29.3152 | − | 3.95743i | 1.38812 | − | 0.187390i | ||||
\(447\) | −4.40574 | + | 5.08450i | −0.208384 | + | 0.240489i | ||||
\(448\) | −5.67858 | − | 14.3543i | −0.268288 | − | 0.678178i | ||||
\(449\) | −3.45518 | − | 2.22051i | −0.163060 | − | 0.104792i | 0.456566 | − | 0.889690i | \(-0.349079\pi\) |
−0.619626 | + | 0.784897i | \(0.712716\pi\) | |||||||
\(450\) | 9.31657 | + | 2.82300i | 0.439187 | + | 0.133077i | ||||
\(451\) | 0.347067 | + | 0.101908i | 0.0163428 | + | 0.00479867i | ||||
\(452\) | −1.93132 | + | 2.89431i | −0.0908416 | + | 0.136137i | ||||
\(453\) | −12.7509 | − | 14.7153i | −0.599087 | − | 0.691384i | ||||
\(454\) | −25.2908 | + | 28.6841i | −1.18696 | + | 1.34621i | ||||
\(455\) | 1.93518 | + | 6.59063i | 0.0907228 | + | 0.308974i | ||||
\(456\) | −10.9909 | − | 10.0325i | −0.514697 | − | 0.469817i | ||||
\(457\) | −5.35323 | − | 0.769678i | −0.250414 | − | 0.0360040i | 0.0159649 | − | 0.999873i | \(-0.494918\pi\) |
−0.266378 | + | 0.963869i | \(0.585827\pi\) | |||||||
\(458\) | −8.52441 | + | 13.0163i | −0.398319 | + | 0.608212i | ||||
\(459\) | 45.2775 | 2.11337 | ||||||||
\(460\) | −8.22476 | − | 4.93490i | −0.383482 | − | 0.230091i | ||||
\(461\) | 26.4865 | 1.23360 | 0.616799 | − | 0.787121i | \(-0.288429\pi\) | ||||
0.616799 | + | 0.787121i | \(0.288429\pi\) | |||||||
\(462\) | −1.31956 | + | 2.01490i | −0.0613916 | + | 0.0937416i | ||||
\(463\) | 10.5778 | + | 1.52085i | 0.491590 | + | 0.0706800i | 0.383652 | − | 0.923478i | \(-0.374666\pi\) |
0.107938 | + | 0.994158i | \(0.465575\pi\) | |||||||
\(464\) | −16.0414 | − | 5.31700i | −0.744702 | − | 0.246836i | ||||
\(465\) | 7.43755 | + | 25.3300i | 0.344908 | + | 1.17465i | ||||
\(466\) | 23.1973 | − | 26.3096i | 1.07459 | − | 1.21877i | ||||
\(467\) | 15.7481 | + | 18.1742i | 0.728734 | + | 0.841004i | 0.992328 | − | 0.123630i | \(-0.0394535\pi\) |
−0.263595 | + | 0.964634i | \(0.584908\pi\) | |||||||
\(468\) | −40.7653 | − | 27.2020i | −1.88438 | − | 1.25741i | ||||
\(469\) | −21.8221 | − | 6.40754i | −1.00765 | − | 0.295873i | ||||
\(470\) | −11.7096 | − | 3.54811i | −0.540125 | − | 0.163662i | ||||
\(471\) | 58.4839 | + | 37.5853i | 2.69480 | + | 1.73184i | ||||
\(472\) | −25.2729 | + | 20.7803i | −1.16328 | + | 0.956489i | ||||
\(473\) | −1.16884 | + | 1.34891i | −0.0537434 | + | 0.0620231i | ||||
\(474\) | 13.3191 | − | 1.79803i | 0.611768 | − | 0.0825860i | ||||
\(475\) | 0.238170 | + | 1.65651i | 0.0109280 | + | 0.0760059i | ||||
\(476\) | −0.246578 | + | 14.3094i | −0.0113019 | + | 0.655871i | ||||
\(477\) | 36.3909 | − | 16.6192i | 1.66622 | − | 0.760939i | ||||
\(478\) | 0.0428009 | − | 0.0364463i | 0.00195767 | − | 0.00166702i | ||||
\(479\) | 7.19952 | − | 15.7648i | 0.328955 | − | 0.720310i | −0.670818 | − | 0.741622i | \(-0.734057\pi\) |
0.999773 | + | 0.0213116i | \(0.00678421\pi\) | |||||||
\(480\) | −6.68432 | − | 16.4801i | −0.305096 | − | 0.752212i | ||||
\(481\) | −3.47476 | − | 5.40683i | −0.158435 | − | 0.246530i | ||||
\(482\) | −13.2528 | + | 5.91490i | −0.603648 | + | 0.269416i | ||||
\(483\) | 17.9748 | − | 22.8758i | 0.817880 | − | 1.04089i | ||||
\(484\) | 14.5860 | − | 16.2585i | 0.663000 | − | 0.739021i | ||||
\(485\) | 11.7832 | − | 7.57259i | 0.535047 | − | 0.343854i | ||||
\(486\) | −7.39483 | − | 26.0114i | −0.335436 | − | 1.17990i | ||||
\(487\) | −10.1119 | − | 4.61796i | −0.458215 | − | 0.209260i | 0.172915 | − | 0.984937i | \(-0.444681\pi\) |
−0.631130 | + | 0.775677i | \(0.717409\pi\) | |||||||
\(488\) | 0.963870 | − | 37.2856i | 0.0436324 | − | 1.68784i | ||||
\(489\) | −8.13332 | − | 17.8095i | −0.367802 | − | 0.805373i | ||||
\(490\) | 4.19842 | + | 1.96124i | 0.189665 | + | 0.0885998i | ||||
\(491\) | 19.1040 | − | 2.74674i | 0.862153 | − | 0.123959i | 0.302967 | − | 0.953001i | \(-0.402023\pi\) |
0.559186 | + | 0.829042i | \(0.311114\pi\) | |||||||
\(492\) | −4.26171 | − | 6.88952i | −0.192133 | − | 0.310603i | ||||
\(493\) | 11.8409 | + | 10.2602i | 0.533288 | + | 0.462096i | ||||
\(494\) | 1.27081 | − | 8.32865i | 0.0571763 | − | 0.374724i | ||||
\(495\) | −1.04482 | + | 1.62577i | −0.0469610 | + | 0.0730728i | ||||
\(496\) | 19.1223 | − | 27.6143i | 0.858615 | − | 1.23992i | ||||
\(497\) | 8.33106 | − | 28.3730i | 0.373699 | − | 1.27270i | ||||
\(498\) | −35.8892 | − | 56.9169i | −1.60823 | − | 2.55051i | ||||
\(499\) | 6.19353 | − | 5.36673i | 0.277261 | − | 0.240248i | −0.505119 | − | 0.863050i | \(-0.668551\pi\) |
0.782379 | + | 0.622802i | \(0.214006\pi\) | |||||||
\(500\) | −0.596444 | + | 1.90899i | −0.0266738 | + | 0.0853728i | ||||
\(501\) | 23.6112 | − | 6.93287i | 1.05487 | − | 0.309738i | ||||
\(502\) | −26.1412 | − | 0.225214i | −1.16674 | − | 0.0100518i | ||||
\(503\) | −0.814407 | + | 5.66432i | −0.0363126 | + | 0.252560i | −0.999889 | − | 0.0148721i | \(-0.995266\pi\) |
0.963577 | + | 0.267432i | \(0.0861750\pi\) | |||||||
\(504\) | 36.3084 | − | 9.64924i | 1.61730 | − | 0.429811i | ||||
\(505\) | 10.0175i | 0.445771i | ||||||||
\(506\) | 1.38882 | − | 1.30264i | 0.0617405 | − | 0.0579093i | ||||
\(507\) | 1.03171i | 0.0458200i | ||||||||
\(508\) | −19.5959 | − | 3.16298i | −0.869428 | − | 0.140334i | ||||
\(509\) | 1.17885 | − | 8.19910i | 0.0522517 | − | 0.363419i | −0.946874 | − | 0.321605i | \(-0.895778\pi\) |
0.999125 | − | 0.0418130i | \(-0.0133134\pi\) | |||||||
\(510\) | −0.142042 | + | 16.4872i | −0.00628974 | + | 0.730066i | ||||
\(511\) | 8.61489 | − | 2.52956i | 0.381100 | − | 0.111901i | ||||
\(512\) | −10.9658 | + | 19.7927i | −0.484625 | + | 0.874722i | ||||
\(513\) | 15.4421 | − | 13.3807i | 0.681786 | − | 0.590771i | ||||
\(514\) | −17.1640 | + | 10.8228i | −0.757071 | + | 0.477375i | ||||
\(515\) | −2.83920 | + | 9.66942i | −0.125110 | + | 0.426086i | ||||
\(516\) | 39.6593 | − | 5.00634i | 1.74590 | − | 0.220392i | ||||
\(517\) | 1.31319 | − | 2.04336i | 0.0577540 | − | 0.0898669i | ||||
\(518\) | 4.87056 | + | 0.743163i | 0.214000 | + | 0.0326527i | ||||
\(519\) | −44.3396 | − | 38.4205i | −1.94629 | − | 1.68647i | ||||
\(520\) | 5.66051 | − | 8.32666i | 0.248230 | − | 0.365148i | ||||
\(521\) | −24.8873 | + | 3.57825i | −1.09033 | + | 0.156766i | −0.663949 | − | 0.747777i | \(-0.731121\pi\) |
−0.426382 | + | 0.904543i | \(0.640212\pi\) | |||||||
\(522\) | 17.4072 | − | 37.2635i | 0.761893 | − | 1.63098i | ||||
\(523\) | 2.30362 | + | 5.04422i | 0.100730 | + | 0.220568i | 0.953287 | − | 0.302066i | \(-0.0976765\pi\) |
−0.852557 | + | 0.522635i | \(0.824949\pi\) | |||||||
\(524\) | −8.08285 | − | 3.86098i | −0.353101 | − | 0.168668i | ||||
\(525\) | −5.51809 | − | 2.52003i | −0.240829 | − | 0.109983i | ||||
\(526\) | −7.22596 | + | 2.05428i | −0.315067 | + | 0.0895710i | ||||
\(527\) | −26.1971 | + | 16.8358i | −1.14116 | + | 0.733381i | ||||
\(528\) | 3.50978 | − | 0.381742i | 0.152743 | − | 0.0166132i | ||||
\(529\) | −18.0677 | + | 14.2323i | −0.785552 | + | 0.618796i | ||||
\(530\) | 3.34982 | + | 7.50554i | 0.145507 | + | 0.326020i | ||||
\(531\) | −43.0507 | − | 66.9882i | −1.86824 | − | 2.90704i | ||||
\(532\) | 4.14471 | + | 4.95317i | 0.179696 | + | 0.214747i | ||||
\(533\) | 1.90527 | − | 4.17197i | 0.0825266 | − | 0.180708i | ||||
\(534\) | 35.6933 | + | 41.9166i | 1.54460 | + | 1.81391i | ||||
\(535\) | −6.15212 | + | 2.80958i | −0.265979 | + | 0.121469i | ||||
\(536\) | 13.0606 | + | 30.6727i | 0.564133 | + | 1.32486i | ||||
\(537\) | 2.35729 | + | 16.3953i | 0.101724 | + | 0.707509i | ||||
\(538\) | −1.55244 | − | 11.4999i | −0.0669304 | − | 0.495797i | ||||
\(539\) | −0.602418 | + | 0.695228i | −0.0259480 | + | 0.0299456i | ||||
\(540\) | 23.5446 | − | 6.47483i | 1.01320 | − | 0.278632i | ||||
\(541\) | 11.2769 | + | 7.24720i | 0.484830 | + | 0.311581i | 0.760123 | − | 0.649779i | \(-0.225139\pi\) |
−0.275293 | + | 0.961360i | \(0.588775\pi\) | |||||||
\(542\) | 11.2034 | − | 36.9740i | 0.481229 | − | 1.58817i | ||||
\(543\) | −13.9785 | − | 4.10445i | −0.599873 | − | 0.176139i | ||||
\(544\) | 16.4311 | − | 13.0423i | 0.704475 | − | 0.559183i | ||||
\(545\) | 8.46501 | + | 9.76914i | 0.362601 | + | 0.418464i | ||||
\(546\) | 22.9068 | + | 20.1970i | 0.980322 | + | 0.864352i | ||||
\(547\) | 1.75054 | + | 5.96178i | 0.0748476 | + | 0.254907i | 0.988414 | − | 0.151782i | \(-0.0485012\pi\) |
−0.913566 | + | 0.406690i | \(0.866683\pi\) | |||||||
\(548\) | −38.9483 | + | 16.9823i | −1.66379 | + | 0.725448i | ||||
\(549\) | 89.8489 | + | 12.9183i | 3.83466 | + | 0.551341i | ||||
\(550\) | −0.332147 | − | 0.217524i | −0.0141628 | − | 0.00927525i | ||||
\(551\) | 7.07056 | 0.301216 | ||||||||
\(552\) | −42.6344 | + | 0.944929i | −1.81464 | + | 0.0402188i | ||||
\(553\) | −5.83298 | −0.248043 | ||||||||
\(554\) | −7.82990 | − | 5.12782i | −0.332661 | − | 0.217860i | ||||
\(555\) | 5.61837 | + | 0.807800i | 0.238487 | + | 0.0342892i | ||||
\(556\) | −17.3523 | + | 7.56596i | −0.735899 | + | 0.320868i | ||||
\(557\) | −3.87635 | − | 13.2016i | −0.164246 | − | 0.559371i | −0.999948 | − | 0.0101877i | \(-0.996757\pi\) |
0.835702 | − | 0.549183i | \(-0.185061\pi\) | |||||||
\(558\) | 61.3159 | + | 54.0624i | 2.59571 | + | 2.28864i | ||||
\(559\) | 14.8204 | + | 17.1036i | 0.626835 | + | 0.723406i | ||||
\(560\) | 1.91807 | + | 7.47624i | 0.0810533 | + | 0.315929i | ||||
\(561\) | −3.14055 | − | 0.922150i | −0.132594 | − | 0.0389332i | ||||
\(562\) | 4.77773 | − | 15.7677i | 0.201536 | − | 0.665118i | ||||
\(563\) | −5.87662 | − | 3.77667i | −0.247670 | − | 0.159168i | 0.410916 | − | 0.911673i | \(-0.365209\pi\) |
−0.658586 | + | 0.752505i | \(0.728845\pi\) | |||||||
\(564\) | −52.4516 | + | 14.4244i | −2.20861 | + | 0.607375i | ||||
\(565\) | 1.13930 | − | 1.31482i | 0.0479306 | − | 0.0553149i | ||||
\(566\) | 0.907560 | + | 6.72288i | 0.0381476 | + | 0.282584i | ||||
\(567\) | 4.86968 | + | 33.8693i | 0.204507 | + | 1.42238i | ||||
\(568\) | −39.8805 | + | 16.9814i | −1.67335 | + | 0.712523i | ||||
\(569\) | −24.4555 | + | 11.1684i | −1.02523 | + | 0.468205i | −0.855783 | − | 0.517335i | \(-0.826924\pi\) |
−0.169443 | + | 0.985540i | \(0.554197\pi\) | |||||||
\(570\) | 4.82395 | + | 5.66502i | 0.202053 | + | 0.237282i | ||||
\(571\) | −5.04838 | + | 11.0544i | −0.211268 | + | 0.462612i | −0.985366 | − | 0.170454i | \(-0.945477\pi\) |
0.774098 | + | 0.633066i | \(0.218204\pi\) | |||||||
\(572\) | 1.28270 | + | 1.53291i | 0.0536325 | + | 0.0640941i | ||||
\(573\) | −30.7628 | − | 47.8679i | −1.28514 | − | 1.99971i | ||||
\(574\) | 1.43295 | + | 3.21064i | 0.0598102 | + | 0.134009i | ||||
\(575\) | 3.77098 | + | 2.96306i | 0.157261 | + | 0.123568i | ||||
\(576\) | −44.7266 | − | 32.1262i | −1.86361 | − | 1.33859i | ||||
\(577\) | −22.8331 | + | 14.6740i | −0.950556 | + | 0.610886i | −0.921369 | − | 0.388688i | \(-0.872928\pi\) |
−0.0291872 | + | 0.999574i | \(0.509292\pi\) | |||||||
\(578\) | 4.41760 | − | 1.25589i | 0.183748 | − | 0.0522381i | ||||
\(579\) | 39.5115 | + | 18.0443i | 1.64204 | + | 0.749895i | ||||
\(580\) | 7.62458 | + | 3.64208i | 0.316594 | + | 0.151229i | ||||
\(581\) | 12.1313 | + | 26.5639i | 0.503291 | + | 1.10205i | ||||
\(582\) | 26.3567 | − | 56.4216i | 1.09252 | − | 2.33875i | ||||
\(583\) | −1.61504 | + | 0.232208i | −0.0668883 | + | 0.00961709i | ||||
\(584\) | −10.8841 | − | 7.39909i | −0.450388 | − | 0.306177i | ||||
\(585\) | 18.5188 | + | 16.0466i | 0.765658 | + | 0.663447i | ||||
\(586\) | −43.7085 | − | 6.66915i | −1.80558 | − | 0.275500i | ||||
\(587\) | −13.0032 | + | 20.2334i | −0.536701 | + | 0.835123i | −0.998659 | − | 0.0517789i | \(-0.983511\pi\) |
0.461957 | + | 0.886902i | \(0.347147\pi\) | |||||||
\(588\) | 20.4403 | − | 2.58026i | 0.842945 | − | 0.106408i | ||||
\(589\) | −3.95922 | + | 13.4839i | −0.163137 | + | 0.555593i | ||||
\(590\) | 13.8382 | − | 8.72574i | 0.569710 | − | 0.359233i | ||||
\(591\) | 14.5400 | − | 12.5990i | 0.598095 | − | 0.518252i | ||||
\(592\) | −3.69286 | − | 6.20643i | −0.151775 | − | 0.255083i | ||||
\(593\) | −41.1442 | + | 12.0810i | −1.68959 | + | 0.496108i | −0.978370 | − | 0.206864i | \(-0.933674\pi\) |
−0.711218 | + | 0.702971i | \(0.751856\pi\) | |||||||
\(594\) | −0.0417616 | + | 4.84737i | −0.00171350 | + | 0.198890i | ||||
\(595\) | 1.01837 | − | 7.08294i | 0.0417492 | − | 0.290372i | ||||
\(596\) | −4.22530 | − | 0.682006i | −0.173075 | − | 0.0279361i | ||||
\(597\) | − | 10.4305i | − | 0.426891i | ||||||
\(598\) | −13.8426 | − | 19.7809i | −0.566067 | − | 0.808903i | ||||
\(599\) | 7.43668i | 0.303854i | 0.988392 | + | 0.151927i | \(0.0485479\pi\) | ||||
−0.988392 | + | 0.151927i | \(0.951452\pi\) | |||||||
\(600\) | 2.28386 | + | 8.59376i | 0.0932383 | + | 0.350839i | ||||
\(601\) | −6.63187 | + | 46.1257i | −0.270520 | + | 1.88151i | 0.172524 | + | 0.985005i | \(0.444808\pi\) |
−0.443044 | + | 0.896500i | \(0.646101\pi\) | |||||||
\(602\) | −17.3482 | − | 0.149460i | −0.707061 | − | 0.00609154i | ||||
\(603\) | −77.8477 | + | 22.8582i | −3.17020 | + | 0.930856i | ||||
\(604\) | 3.69405 | − | 11.8233i | 0.150309 | − | 0.481082i | ||||
\(605\) | −8.25368 | + | 7.15185i | −0.335560 | + | 0.290764i | ||||
\(606\) | 23.7553 | + | 37.6737i | 0.964994 | + | 1.53039i | ||||
\(607\) | 2.12960 | − | 7.25276i | 0.0864379 | − | 0.294380i | −0.904917 | − | 0.425588i | \(-0.860067\pi\) |
0.991355 | + | 0.131208i | \(0.0418855\pi\) | |||||||
\(608\) | 1.74957 | − | 9.30393i | 0.0709542 | − | 0.377324i | ||||
\(609\) | −13.8563 | + | 21.5609i | −0.561486 | + | 0.873690i | ||||
\(610\) | −2.81296 | + | 18.4356i | −0.113893 | + | 0.746437i | ||||
\(611\) | −23.2755 | − | 20.1684i | −0.941627 | − | 0.815925i | ||||
\(612\) | 26.8582 | + | 43.4192i | 1.08568 | + | 1.75512i | ||||
\(613\) | 22.2587 | − | 3.20032i | 0.899022 | − | 0.129260i | 0.322718 | − | 0.946495i | \(-0.395404\pi\) |
0.576304 | + | 0.817235i | \(0.304494\pi\) | |||||||
\(614\) | 18.2731 | + | 8.53606i | 0.737443 | + | 0.344487i | ||||
\(615\) | 1.68266 | + | 3.68450i | 0.0678512 | + | 0.148574i | ||||
\(616\) | −1.53173 | − | 0.0395967i | −0.0617150 | − | 0.00159540i | ||||
\(617\) | −31.8312 | − | 14.5368i | −1.28148 | − | 0.585231i | −0.345873 | − | 0.938282i | \(-0.612417\pi\) |
−0.935604 | + | 0.353051i | \(0.885144\pi\) | |||||||
\(618\) | 12.2523 | + | 43.0977i | 0.492861 | + | 1.73364i | ||||
\(619\) | 17.5067 | − | 11.2509i | 0.703654 | − | 0.452211i | −0.139263 | − | 0.990255i | \(-0.544473\pi\) |
0.842916 | + | 0.538045i | \(0.180837\pi\) | |||||||
\(620\) | −11.2151 | + | 12.5010i | −0.450408 | + | 0.502053i | ||||
\(621\) | 5.54227 | − | 58.2909i | 0.222404 | − | 2.33913i | ||||
\(622\) | 10.4492 | − | 4.66361i | 0.418974 | − | 0.186994i | ||||
\(623\) | −12.9180 | − | 20.1008i | −0.517549 | − | 0.805323i | ||||
\(624\) | 1.54231 | − | 44.7383i | 0.0617417 | − | 1.79096i | ||||
\(625\) | 0.415415 | − | 0.909632i | 0.0166166 | − | 0.0363853i | ||||
\(626\) | −4.51423 | + | 3.84401i | −0.180425 | + | 0.153638i | ||||
\(627\) | −1.34362 | + | 0.613611i | −0.0536590 | + | 0.0245053i | ||||
\(628\) | −0.761992 | + | 44.2199i | −0.0304068 | + | 1.76457i | ||||
\(629\) | 0.952878 | + | 6.62741i | 0.0379937 | + | 0.264252i | ||||
\(630\) | −18.6155 | + | 2.51301i | −0.741658 | + | 0.100121i | ||||
\(631\) | −7.59370 | + | 8.76359i | −0.302300 | + | 0.348873i | −0.886493 | − | 0.462742i | \(-0.846866\pi\) |
0.584193 | + | 0.811615i | \(0.301411\pi\) | |||||||
\(632\) | 5.43025 | + | 6.60425i | 0.216004 | + | 0.262703i | ||||
\(633\) | 41.9317 | + | 26.9479i | 1.66664 | + | 1.07108i | ||||
\(634\) | −31.4412 | − | 9.52694i | −1.24869 | − | 0.378363i | ||||
\(635\) | 9.52275 | + | 2.79613i | 0.377899 | + | 0.110961i | ||||
\(636\) | 30.3966 | + | 20.2831i | 1.20530 | + | 0.804279i | ||||
\(637\) | 7.63839 | + | 8.81517i | 0.302644 | + | 0.349270i | ||||
\(638\) | −1.10937 | + | 1.25821i | −0.0439204 | + | 0.0498132i | ||||
\(639\) | −29.7201 | − | 101.217i | −1.17571 | − | 4.00409i | ||||
\(640\) | 6.67916 | − | 9.13175i | 0.264017 | − | 0.360964i | ||||
\(641\) | −41.3175 | − | 5.94056i | −1.63194 | − | 0.234638i | −0.735413 | − | 0.677619i | \(-0.763012\pi\) |
−0.896531 | + | 0.442981i | \(0.853921\pi\) | |||||||
\(642\) | −16.4743 | + | 25.1554i | −0.650189 | + | 0.992804i | ||||
\(643\) | 3.80366 | 0.150002 | 0.0750008 | − | 0.997183i | \(-0.476104\pi\) | ||||
0.0750008 | + | 0.997183i | \(0.476104\pi\) | |||||||
\(644\) | 18.3920 | + | 2.06902i | 0.724746 | + | 0.0815307i | ||||
\(645\) | −19.9870 | −0.786988 | ||||||||
\(646\) | −4.80861 | + | 7.34248i | −0.189192 | + | 0.288886i | ||||
\(647\) | −21.8338 | − | 3.13922i | −0.858374 | − | 0.123416i | −0.300947 | − | 0.953641i | \(-0.597303\pi\) |
−0.557428 | + | 0.830225i | \(0.688212\pi\) | |||||||
\(648\) | 33.8143 | − | 37.0445i | 1.32835 | − | 1.45524i | ||||
\(649\) | 0.914975 | + | 3.11612i | 0.0359159 | + | 0.122318i | ||||
\(650\) | −3.32939 | + | 3.77609i | −0.130589 | + | 0.148110i | ||||
\(651\) | −33.3585 | − | 38.4978i | −1.30742 | − | 1.50885i | ||||
\(652\) | 6.91344 | − | 10.3606i | 0.270751 | − | 0.405752i | ||||
\(653\) | 23.1771 | + | 6.80541i | 0.906990 | + | 0.266316i | 0.701773 | − | 0.712400i | \(-0.252392\pi\) |
0.205217 | + | 0.978717i | \(0.434210\pi\) | |||||||
\(654\) | 55.0018 | + | 16.6660i | 2.15074 | + | 0.651692i | ||||
\(655\) | 3.76783 | + | 2.42144i | 0.147221 | + | 0.0946134i | ||||
\(656\) | 2.30115 | − | 4.61139i | 0.0898449 | − | 0.180044i | ||||
\(657\) | 20.9752 | − | 24.2067i | 0.818321 | − | 0.944393i | ||||
\(658\) | 23.3970 | − | 3.15850i | 0.912112 | − | 0.123131i | ||||
\(659\) | 5.87568 | + | 40.8662i | 0.228884 | + | 1.59192i | 0.702823 | + | 0.711365i | \(0.251923\pi\) |
−0.473939 | + | 0.880558i | \(0.657168\pi\) | |||||||
\(660\) | −1.76498 | − | 0.0304139i | −0.0687016 | − | 0.00118386i | ||||
\(661\) | 18.7003 | − | 8.54015i | 0.727358 | − | 0.332173i | −0.0170898 | − | 0.999854i | \(-0.505440\pi\) |
0.744448 | + | 0.667681i | \(0.232713\pi\) | |||||||
\(662\) | −8.16612 | + | 6.95372i | −0.317385 | + | 0.270264i | ||||
\(663\) | −17.2405 | + | 37.7515i | −0.669566 | + | 1.46615i | ||||
\(664\) | 18.7826 | − | 38.4652i | 0.728905 | − | 1.49274i | ||||
\(665\) | −1.74587 | − | 2.71663i | −0.0677019 | − | 0.105346i | ||||
\(666\) | 16.0502 | − | 7.16344i | 0.621934 | − | 0.277578i | ||||
\(667\) | 14.6586 | − | 13.9882i | 0.567581 | − | 0.541627i | ||||
\(668\) | 11.6527 | + | 10.4541i | 0.450858 | + | 0.404480i | ||||
\(669\) | −55.3202 | + | 35.5521i | −2.13880 | + | 1.37453i | ||||
\(670\) | −4.55818 | − | 16.0334i | −0.176098 | − | 0.619426i | ||||
\(671\) | −3.36761 | − | 1.53794i | −0.130005 | − | 0.0593714i | ||||
\(672\) | 24.9426 | + | 23.5682i | 0.962182 | + | 0.909164i | ||||
\(673\) | 0.789370 | + | 1.72848i | 0.0304280 | + | 0.0666280i | 0.924236 | − | 0.381822i | \(-0.124703\pi\) |
−0.893808 | + | 0.448450i | \(0.851976\pi\) | |||||||
\(674\) | −22.4140 | − | 10.4704i | −0.863354 | − | 0.403306i | ||||
\(675\) | −12.0850 | + | 1.73757i | −0.465153 | + | 0.0668790i | ||||
\(676\) | −0.558184 | + | 0.345280i | −0.0214686 | + | 0.0132800i | ||||
\(677\) | −12.6297 | − | 10.9437i | −0.485398 | − | 0.420600i | 0.377475 | − | 0.926020i | \(-0.376792\pi\) |
−0.862874 | + | 0.505420i | \(0.831338\pi\) | |||||||
\(678\) | 1.16672 | − | 7.64651i | 0.0448078 | − | 0.293662i | ||||
\(679\) | −14.6120 | + | 22.7367i | −0.560758 | + | 0.872556i | ||||
\(680\) | −8.96755 | + | 5.44088i | −0.343890 | + | 0.208648i | ||||
\(681\) | 23.9504 | − | 81.5677i | 0.917782 | − | 3.12568i | ||||
\(682\) | −1.77827 | − | 2.82017i | −0.0680934 | − | 0.107990i | ||||
\(683\) | −10.0771 | + | 8.73189i | −0.385591 | + | 0.334117i | −0.825989 | − | 0.563686i | \(-0.809383\pi\) |
0.440398 | + | 0.897803i | \(0.354837\pi\) | |||||||
\(684\) | 21.9916 | + | 6.87104i | 0.840870 | + | 0.262721i | ||||
\(685\) | 20.3842 | − | 5.98535i | 0.778842 | − | 0.228689i | ||||
\(686\) | −28.0425 | − | 0.241595i | −1.07067 | − | 0.00922414i | ||||
\(687\) | 4.92244 | − | 34.2363i | 0.187803 | − | 1.30620i | ||||
\(688\) | 15.9812 | + | 19.7812i | 0.609278 | + | 0.754153i | ||||
\(689\) | 20.6886i | 0.788173i | ||||||||
\(690\) | 21.2085 | + | 2.20101i | 0.807394 | + | 0.0837912i | ||||
\(691\) | − | 39.3539i | − | 1.49709i | −0.663082 | − | 0.748547i | \(-0.730752\pi\) | ||
0.663082 | − | 0.748547i | \(-0.269248\pi\) | |||||||
\(692\) | 5.94747 | − | 36.8470i | 0.226089 | − | 1.40071i | ||||
\(693\) | 0.530697 | − | 3.69108i | 0.0201595 | − | 0.140213i | ||||
\(694\) | 0.114049 | − | 13.2380i | 0.00432925 | − | 0.502507i | ||||
\(695\) | 9.08159 | − | 2.66660i | 0.344485 | − | 0.101150i | ||||
\(696\) | 37.3114 | − | 4.38374i | 1.41428 | − | 0.166165i | ||||
\(697\) | −3.61098 | + | 3.12893i | −0.136775 | + | 0.118517i | ||||
\(698\) | −5.70890 | + | 3.59977i | −0.216085 | + | 0.136253i | ||||
\(699\) | −21.9678 | + | 74.8155i | −0.830899 | + | 2.82978i | ||||
\(700\) | −0.483323 | − | 3.82880i | −0.0182679 | − | 0.144715i | ||||
\(701\) | −7.72474 | + | 12.0199i | −0.291759 | + | 0.453987i | −0.955930 | − | 0.293594i | \(-0.905148\pi\) |
0.664171 | + | 0.747581i | \(0.268785\pi\) | |||||||
\(702\) | 60.7615 | + | 9.27115i | 2.29329 | + | 0.349917i | ||||
\(703\) | 2.28356 | + | 1.97871i | 0.0861260 | + | 0.0746286i | ||||
\(704\) | 1.38114 | + | 1.77112i | 0.0520537 | + | 0.0667518i | ||||
\(705\) | 26.9226 | − | 3.87088i | 1.01396 | − | 0.145786i | ||||
\(706\) | −0.469699 | + | 1.00548i | −0.0176774 | + | 0.0378418i | ||||
\(707\) | −8.02980 | − | 17.5828i | −0.301992 | − | 0.661270i | ||||
\(708\) | 31.3507 | − | 65.6317i | 1.17823 | − | 2.46659i | ||||
\(709\) | 26.5794 | + | 12.1384i | 0.998210 | + | 0.455867i | 0.846403 | − | 0.532543i | \(-0.178764\pi\) |
0.151807 | + | 0.988410i | \(0.451491\pi\) | |||||||
\(710\) | 20.8466 | − | 5.92652i | 0.782359 | − | 0.222419i | ||||
\(711\) | −17.5052 | + | 11.2499i | −0.656496 | + | 0.421904i | ||||
\(712\) | −10.7326 | + | 33.3391i | −0.402220 | + | 1.24944i | ||||
\(713\) | 18.4680 | + | 35.7874i | 0.691633 | + | 1.34025i | ||||
\(714\) | −12.9665 | − | 29.0525i | −0.485260 | − | 1.08726i | ||||
\(715\) | −0.540312 | − | 0.840742i | −0.0202065 | − | 0.0314420i | ||||
\(716\) | −8.08137 | + | 6.76232i | −0.302015 | + | 0.252720i | ||||
\(717\) | −0.0519141 | + | 0.113676i | −0.00193877 | + | 0.00424531i | ||||
\(718\) | 2.89368 | + | 3.39821i | 0.107991 | + | 0.126820i | ||||
\(719\) | 20.5865 | − | 9.40155i | 0.767748 | − | 0.350619i | 0.00726229 | − | 0.999974i | \(-0.497688\pi\) |
0.760485 | + | 0.649355i | \(0.224961\pi\) | |||||||
\(720\) | 20.1755 | + | 18.7374i | 0.751897 | + | 0.698303i | ||||
\(721\) | −2.76742 | − | 19.2478i | −0.103064 | − | 0.716826i | ||||
\(722\) | −3.06484 | − | 22.7033i | −0.114062 | − | 0.844928i | ||||
\(723\) | 21.1273 | − | 24.3822i | 0.785732 | − | 0.906783i | ||||
\(724\) | −2.45752 | − | 8.93634i | −0.0913330 | − | 0.332116i | ||||
\(725\) | −3.55421 | − | 2.28415i | −0.132000 | − | 0.0848313i | ||||
\(726\) | −14.0806 | + | 46.4695i | −0.522581 | + | 1.72464i | ||||
\(727\) | 46.7000 | + | 13.7124i | 1.73201 | + | 0.508564i | 0.987306 | − | 0.158832i | \(-0.0507729\pi\) |
0.744703 | + | 0.667396i | \(0.232591\pi\) | |||||||
\(728\) | −3.26094 | + | 19.1525i | −0.120859 | + | 0.709838i | ||||
\(729\) | 4.52886 | + | 5.22659i | 0.167736 | + | 0.193577i | ||||
\(730\) | 4.93588 | + | 4.35198i | 0.182685 | + | 0.161074i | ||||
\(731\) | −6.64230 | − | 22.6216i | −0.245674 | − | 0.836690i | ||||
\(732\) | 33.1392 | + | 76.0035i | 1.22486 | + | 2.80917i | ||||
\(733\) | −12.2600 | − | 1.76273i | −0.452835 | − | 0.0651078i | −0.0878760 | − | 0.996131i | \(-0.528008\pi\) |
−0.364959 | + | 0.931024i | \(0.618917\pi\) | |||||||
\(734\) | −25.8876 | − | 16.9539i | −0.955529 | − | 0.625778i | ||||
\(735\) | −10.3013 | −0.379968 | ||||||||
\(736\) | −14.7795 | − | 22.7501i | −0.544781 | − | 0.838578i | ||||
\(737\) | 3.30906 | 0.121891 | ||||||||
\(738\) | 10.4927 | + | 6.87167i | 0.386240 | + | 0.252950i | ||||
\(739\) | −20.9391 | − | 3.01059i | −0.770259 | − | 0.110746i | −0.254029 | − | 0.967197i | \(-0.581756\pi\) |
−0.516230 | + | 0.856450i | \(0.672665\pi\) | |||||||
\(740\) | 1.44324 | + | 3.31003i | 0.0530547 | + | 0.121679i | ||||
\(741\) | 5.27657 | + | 17.9703i | 0.193840 | + | 0.660157i | ||||
\(742\) | −11.8960 | − | 10.4887i | −0.436715 | − | 0.385052i | ||||
\(743\) | −2.36378 | − | 2.72794i | −0.0867186 | − | 0.100079i | 0.710732 | − | 0.703463i | \(-0.248364\pi\) |
−0.797450 | + | 0.603384i | \(0.793818\pi\) | |||||||
\(744\) | −12.5329 | + | 73.6092i | −0.459477 | + | 2.69864i | ||||
\(745\) | 2.05331 | + | 0.602906i | 0.0752275 | + | 0.0220888i | ||||
\(746\) | −8.02144 | + | 26.4727i | −0.293686 | + | 0.969234i | ||||
\(747\) | 87.6399 | + | 56.3228i | 3.20658 | + | 2.06074i | ||||
\(748\) | −0.552133 | − | 2.00773i | −0.0201880 | − | 0.0734100i | ||||
\(749\) | 8.54621 | − | 9.86285i | 0.312272 | − | 0.360381i | ||||
\(750\) | −0.594800 | − | 4.40606i | −0.0217190 | − | 0.160887i | ||||
\(751\) | −4.97019 | − | 34.5684i | −0.181365 | − | 1.26142i | −0.853540 | − | 0.521028i | \(-0.825549\pi\) |
0.672175 | − | 0.740392i | \(-0.265360\pi\) | |||||||
\(752\) | −25.3578 | − | 23.5503i | −0.924703 | − | 0.858792i | ||||
\(753\) | 52.8627 | − | 24.1416i | 1.92642 | − | 0.879769i | ||||
\(754\) | 13.7894 | + | 16.1936i | 0.502179 | + | 0.589735i | ||||
\(755\) | −2.57285 | + | 5.63376i | −0.0936357 | + | 0.205034i | ||||
\(756\) | −36.1357 | + | 30.2376i | −1.31424 | + | 1.09973i | ||||
\(757\) | 2.30155 | + | 3.58129i | 0.0836514 | + | 0.130164i | 0.880558 | − | 0.473938i | \(-0.157168\pi\) |
−0.796907 | + | 0.604103i | \(0.793532\pi\) | |||||||
\(758\) | −9.00238 | − | 20.1705i | −0.326981 | − | 0.732626i | ||||
\(759\) | −1.57161 | + | 3.93032i | −0.0570460 | + | 0.142662i | ||||
\(760\) | −1.45051 | + | 4.50578i | −0.0526154 | + | 0.163442i | ||||
\(761\) | 28.5115 | − | 18.3232i | 1.03354 | − | 0.664216i | 0.0901593 | − | 0.995927i | \(-0.471262\pi\) |
0.943381 | + | 0.331711i | \(0.107626\pi\) | |||||||
\(762\) | 42.4440 | − | 12.0665i | 1.53758 | − | 0.437122i | ||||
\(763\) | −22.6887 | − | 10.3616i | −0.821387 | − | 0.375115i | ||||
\(764\) | 15.6025 | − | 32.6633i | 0.564478 | − | 1.18172i | ||||
\(765\) | −10.6045 | − | 23.2205i | −0.383405 | − | 0.839540i | ||||
\(766\) | −6.22416 | + | 13.3240i | −0.224888 | + | 0.481417i | ||||
\(767\) | 40.7598 | − | 5.86038i | 1.47175 | − | 0.211606i | ||||
\(768\) | 3.46405 | − | 50.1817i | 0.124998 | − | 1.81078i | ||||
\(769\) | −29.9274 | − | 25.9323i | −1.07921 | − | 0.935142i | −0.0811079 | − | 0.996705i | \(-0.525846\pi\) |
−0.998103 | + | 0.0615636i | \(0.980391\pi\) | |||||||
\(770\) | 0.757354 | + | 0.115559i | 0.0272931 | + | 0.00416446i | ||||
\(771\) | 24.3871 | − | 37.9471i | 0.878281 | − | 1.36663i | ||||
\(772\) | 3.46077 | + | 27.4156i | 0.124556 | + | 0.986708i | ||||
\(773\) | −6.45699 | + | 21.9905i | −0.232242 | + | 0.790943i | 0.758081 | + | 0.652160i | \(0.226137\pi\) |
−0.990323 | + | 0.138783i | \(0.955681\pi\) | |||||||
\(774\) | −52.3515 | + | 33.0105i | −1.88174 | + | 1.18654i | ||||
\(775\) | 6.34619 | − | 5.49900i | 0.227962 | − | 0.197530i | ||||
\(776\) | 39.3463 | − | 4.62282i | 1.41245 | − | 0.165949i | ||||
\(777\) | −10.5090 | + | 3.08572i | −0.377008 | + | 0.110700i | ||||
\(778\) | 0.172938 | − | 20.0733i | 0.00620012 | − | 0.719663i | ||||
\(779\) | −0.306862 | + | 2.13427i | −0.0109945 | + | 0.0764683i | ||||
\(780\) | −3.56659 | + | 22.0964i | −0.127704 | + | 0.791179i | ||||
\(781\) | 4.30243i | 0.153953i | ||||||||
\(782\) | 4.55710 | + | 24.7356i | 0.162962 | + | 0.884542i | ||||
\(783\) | 51.5831i | 1.84343i | ||||||||
\(784\) | 8.23669 | + | 10.1952i | 0.294167 | + | 0.364115i | ||||
\(785\) | 3.14704 | − | 21.8881i | 0.112323 | − | 0.781221i | ||||
\(786\) | 19.9123 | + | 0.171550i | 0.710247 | + | 0.00611900i | ||||
\(787\) | −10.3296 | + | 3.03304i | −0.368211 | + | 0.108116i | −0.460603 | − | 0.887606i | \(-0.652367\pi\) |
0.0923924 | + | 0.995723i | \(0.470549\pi\) | |||||||
\(788\) | 11.6824 | + | 3.65005i | 0.416169 | + | 0.130028i | ||||
\(789\) | 12.6210 | − | 10.9361i | 0.449319 | − | 0.389337i | ||||
\(790\) | −2.28019 | − | 3.61617i | −0.0811255 | − | 0.128657i | ||||
\(791\) | −0.945782 | + | 3.22104i | −0.0336281 | + | 0.114527i | ||||
\(792\) | −4.67320 | + | 2.83537i | −0.166055 | + | 0.100750i | ||||
\(793\) | −25.3787 | + | 39.4900i | −0.901224 | + | 1.40233i | ||||
\(794\) | 7.59292 | − | 49.7627i | 0.269463 | − | 1.76601i | ||||
\(795\) | −13.8085 | − | 11.9652i | −0.489738 | − | 0.424360i | ||||
\(796\) | 5.64315 | − | 3.49074i | 0.200016 | − | 0.123726i | ||||
\(797\) | −33.0264 | + | 4.74848i | −1.16986 | + | 0.168200i | −0.699735 | − | 0.714402i | \(-0.746699\pi\) |
−0.470121 | + | 0.882602i | \(0.655790\pi\) | |||||||
\(798\) | −13.0081 | − | 6.07657i | −0.460481 | − | 0.215108i | ||||
\(799\) | 13.3283 | + | 29.1849i | 0.471522 | + | 1.03249i | ||||
\(800\) | −3.88511 | + | 4.11168i | −0.137359 | + | 0.145370i | ||||
\(801\) | −77.5358 | − | 35.4094i | −2.73959 | − | 1.25113i | ||||
\(802\) | 6.99136 | + | 24.5922i | 0.246874 | + | 0.868380i | ||||
\(803\) | −1.09897 | + | 0.706264i | −0.0387818 | + | 0.0249235i | ||||
\(804\) | −55.1640 | − | 49.4895i | −1.94549 | − | 1.74536i | ||||
\(805\) | −8.99403 | − | 2.17807i | −0.316998 | − | 0.0767668i | ||||
\(806\) | −38.6033 | + | 17.2292i | −1.35974 | + | 0.606872i | ||||
\(807\) | 13.9466 | + | 21.7013i | 0.490943 | + | 0.763922i | ||||
\(808\) | −12.4323 | + | 25.4604i | −0.437368 | + | 0.895694i | ||||
\(809\) | 11.8449 | − | 25.9367i | 0.416445 | − | 0.911887i | −0.578890 | − | 0.815406i | \(-0.696514\pi\) |
0.995335 | − | 0.0964811i | \(-0.0307587\pi\) | |||||||
\(810\) | −19.0937 | + | 16.2590i | −0.670886 | + | 0.571281i | ||||
\(811\) | −26.2553 | + | 11.9904i | −0.921948 | + | 0.421039i | −0.819095 | − | 0.573657i | \(-0.805524\pi\) |
−0.102852 | + | 0.994697i | \(0.532797\pi\) | |||||||
\(812\) | −16.3022 | − | 0.280918i | −0.572096 | − | 0.00985830i | ||||
\(813\) | 12.2226 | + | 85.0101i | 0.428665 | + | 2.98143i | ||||
\(814\) | −0.710404 | + | 0.0959016i | −0.0248997 | + | 0.00336135i | ||||
\(815\) | −4.07828 | + | 4.70659i | −0.142856 | + | 0.164865i | ||||
\(816\) | −20.8227 | + | 41.7277i | −0.728942 | + | 1.46076i | ||||
\(817\) | −8.95066 | − | 5.75224i | −0.313144 | − | 0.201245i | ||||
\(818\) | −16.9370 | − | 5.13206i | −0.592189 | − | 0.179438i | ||||
\(819\) | −45.3672 | − | 13.3210i | −1.58526 | − | 0.465474i | ||||
\(820\) | −1.43028 | + | 2.14344i | −0.0499476 | + | 0.0748523i | ||||
\(821\) | −1.68355 | − | 1.94292i | −0.0587563 | − | 0.0678084i | 0.725611 | − | 0.688106i | \(-0.241557\pi\) |
−0.784367 | + | 0.620297i | \(0.787012\pi\) | |||||||
\(822\) | 62.4676 | − | 70.8489i | 2.17881 | − | 2.47114i | ||||
\(823\) | 2.30098 | + | 7.83640i | 0.0802070 | + | 0.273160i | 0.989826 | − | 0.142284i | \(-0.0454445\pi\) |
−0.909619 | + | 0.415444i | \(0.863626\pi\) | |||||||
\(824\) | −19.2165 | + | 21.0522i | −0.669439 | + | 0.733389i | ||||
\(825\) | 0.873636 | + | 0.125610i | 0.0304161 | + | 0.00437317i | ||||
\(826\) | −17.2947 | + | 26.4080i | −0.601759 | + | 0.918853i | ||||
\(827\) | 23.4784 | 0.816422 | 0.408211 | − | 0.912888i | \(-0.366153\pi\) | ||||
0.408211 | + | 0.912888i | \(0.366153\pi\) | |||||||
\(828\) | 59.1862 | − | 29.2628i | 2.05686 | − | 1.01695i | ||||
\(829\) | 5.90934 | 0.205240 | 0.102620 | − | 0.994721i | \(-0.467277\pi\) | ||||
0.102620 | + | 0.994721i | \(0.467277\pi\) | |||||||
\(830\) | −11.7260 | + | 17.9050i | −0.407016 | + | 0.621492i | ||||
\(831\) | 20.5947 | + | 2.96107i | 0.714423 | + | 0.102719i | ||||
\(832\) | 24.7207 | − | 14.1380i | 0.857037 | − | 0.490147i | ||||
\(833\) | −3.42343 | − | 11.6591i | −0.118615 | − | 0.403965i | ||||
\(834\) | 27.8306 | − | 31.5646i | 0.963694 | − | 1.09299i | ||||
\(835\) | −5.12587 | − | 5.91557i | −0.177388 | − | 0.204717i | ||||
\(836\) | −0.781645 | − | 0.521578i | −0.0270338 | − | 0.0180392i | ||||
\(837\) | −98.3713 | − | 28.8844i | −3.40021 | − | 0.998391i | ||||
\(838\) | 21.6566 | + | 6.56212i | 0.748113 | + | 0.226685i | ||||
\(839\) | −22.8017 | − | 14.6538i | −0.787203 | − | 0.505904i | 0.0842143 | − | 0.996448i | \(-0.473162\pi\) |
−0.871417 | + | 0.490543i | \(0.836798\pi\) | |||||||
\(840\) | −10.8973 | − | 13.2532i | −0.375992 | − | 0.457280i | ||||
\(841\) | 7.30186 | − | 8.42680i | 0.251788 | − | 0.290579i | ||||
\(842\) | −29.0002 | + | 3.91491i | −0.999413 | + | 0.134917i | ||||
\(843\) | 5.21235 | + | 36.2527i | 0.179523 | + | 1.24861i | ||||
\(844\) | −0.546332 | + | 31.7047i | −0.0188055 | + | 1.09132i | ||||
\(845\) | 0.298516 | − | 0.136328i | 0.0102693 | − | 0.00468981i | ||||
\(846\) | 64.1245 | − | 54.6041i | 2.20465 | − | 1.87733i | ||||
\(847\) | 8.75422 | − | 19.1691i | 0.300798 | − | 0.658657i | ||||
\(848\) | −0.800951 | + | 23.2335i | −0.0275048 | + | 0.797840i | ||||
\(849\) | −8.15320 | − | 12.6866i | −0.279817 | − | 0.435404i | ||||
\(850\) | 4.78918 | − | 2.13747i | 0.164267 | − | 0.0733147i | ||||
\(851\) | 8.64888 | − | 0.415510i | 0.296480 | − | 0.0142435i | ||||
\(852\) | 64.3460 | − | 71.7241i | 2.20446 | − | 2.45723i | ||||
\(853\) | 43.3385 | − | 27.8519i | 1.48388 | − | 0.953632i | 0.487109 | − | 0.873341i | \(-0.338052\pi\) |
0.996771 | − | 0.0802907i | \(-0.0255849\pi\) | |||||||
\(854\) | −9.84031 | − | 34.6134i | −0.336729 | − | 1.18445i | ||||
\(855\) | −10.4790 | − | 4.78558i | −0.358373 | − | 0.163664i | ||||
\(856\) | −19.1231 | − | 0.494353i | −0.653615 | − | 0.0168966i | ||||
\(857\) | −6.44878 | − | 14.1209i | −0.220286 | − | 0.482359i | 0.766933 | − | 0.641727i | \(-0.221782\pi\) |
−0.987219 | + | 0.159368i | \(0.949054\pi\) | |||||||
\(858\) | −4.02574 | − | 1.88058i | −0.137436 | − | 0.0642018i | ||||
\(859\) | 31.3142 | − | 4.50231i | 1.06843 | − | 0.153617i | 0.414406 | − | 0.910092i | \(-0.363989\pi\) |
0.654022 | + | 0.756475i | \(0.273080\pi\) | |||||||
\(860\) | −6.68900 | − | 10.8135i | −0.228093 | − | 0.368737i | ||||
\(861\) | −5.90686 | − | 5.11832i | −0.201305 | − | 0.174432i | ||||
\(862\) | −2.88387 | + | 18.9004i | −0.0982250 | + | 0.643750i | ||||
\(863\) | −1.06088 | + | 1.65075i | −0.0361126 | + | 0.0561924i | −0.858841 | − | 0.512243i | \(-0.828815\pi\) |
0.822728 | + | 0.568435i | \(0.192451\pi\) | |||||||
\(864\) | 67.8766 | + | 12.7639i | 2.30921 | + | 0.434237i | ||||
\(865\) | −5.25768 | + | 17.9060i | −0.178766 | + | 0.608822i | ||||
\(866\) | −17.4521 | − | 27.6774i | −0.593047 | − | 0.940517i | ||||
\(867\) | −7.71585 | + | 6.68582i | −0.262044 | + | 0.227062i | ||||
\(868\) | 9.66430 | − | 30.9318i | 0.328028 | − | 1.04989i | ||||
\(869\) | 0.814297 | − | 0.239099i | 0.0276231 | − | 0.00811088i | ||||
\(870\) | −18.7833 | − | 0.161824i | −0.636814 | − | 0.00548635i | ||||
\(871\) | 5.97116 | − | 41.5303i | 0.202325 | − | 1.40720i | ||||
\(872\) | 9.39055 | + | 35.3349i | 0.318004 | + | 1.19659i | ||||
\(873\) | 96.4164i | 3.26320i | ||||||||
\(874\) | 8.86422 | + | 7.08945i | 0.299837 | + | 0.239804i | ||||
\(875\) | 1.92959i | 0.0652321i | ||||||||
\(876\) | 28.8832 | + | 4.66204i | 0.975872 | + | 0.157516i | ||||
\(877\) | −0.186176 | + | 1.29488i | −0.00628672 | + | 0.0437251i | −0.992723 | − | 0.120418i | \(-0.961577\pi\) |
0.986437 | + | 0.164143i | \(0.0524857\pi\) | |||||||
\(878\) | 0.328644 | − | 38.1465i | 0.0110912 | − | 1.28738i | ||||
\(879\) | 94.3077 | − | 27.6913i | 3.18092 | − | 0.934003i | ||||
\(880\) | −0.574225 | − | 0.965077i | −0.0193571 | − | 0.0325327i | ||||
\(881\) | −27.9221 | + | 24.1947i | −0.940721 | + | 0.815139i | −0.982932 | − | 0.183970i | \(-0.941105\pi\) |
0.0422113 | + | 0.999109i | \(0.486560\pi\) | |||||||
\(882\) | −26.9819 | + | 17.0135i | −0.908527 | + | 0.572876i | ||||
\(883\) | 8.86929 | − | 30.2060i | 0.298475 | − | 1.01651i | −0.664581 | − | 0.747216i | \(-0.731390\pi\) |
0.963057 | − | 0.269298i | \(-0.0867917\pi\) | |||||||
\(884\) | −26.1943 | + | 3.30661i | −0.881011 | + | 0.111213i | ||||
\(885\) | −19.6618 | + | 30.5943i | −0.660923 | + | 1.02842i | ||||
\(886\) | −1.18733 | − | 0.181166i | −0.0398890 | − | 0.00608637i | ||||
\(887\) | −37.8543 | − | 32.8010i | −1.27102 | − | 1.10135i | −0.989913 | − | 0.141673i | \(-0.954752\pi\) |
−0.281111 | − | 0.959675i | \(-0.590703\pi\) | |||||||
\(888\) | 13.2772 | + | 9.02589i | 0.445552 | + | 0.302889i | ||||
\(889\) | −18.9558 | + | 2.72544i | −0.635758 | + | 0.0914083i | ||||
\(890\) | 7.41172 | − | 15.8662i | 0.248442 | − | 0.531838i | ||||
\(891\) | −2.06815 | − | 4.52862i | −0.0692857 | − | 0.151715i | ||||
\(892\) | −37.7485 | − | 18.0315i | −1.26391 | − | 0.603740i | ||||
\(893\) | 13.1706 | + | 6.01481i | 0.440737 | + | 0.201278i | ||||
\(894\) | 9.15183 | − | 2.60179i | 0.306083 | − | 0.0870170i | ||||
\(895\) | 4.43232 | − | 2.84848i | 0.148156 | − | 0.0952143i | ||||
\(896\) | −4.40354 | + | 21.3821i | −0.147112 | + | 0.714326i | ||||
\(897\) | 46.4915 | + | 26.8167i | 1.55230 | + | 0.895385i | ||||
\(898\) | 2.36730 | + | 5.30413i | 0.0789980 | + | 0.177001i | ||||
\(899\) | −19.1805 | − | 29.8454i | −0.639706 | − | 0.995401i | ||||
\(900\) | −8.83499 | − | 10.5583i | −0.294500 | − | 0.351945i | ||||
\(901\) | 8.95334 | − | 19.6051i | 0.298279 | − | 0.653140i | ||||
\(902\) | −0.331650 | − | 0.389474i | −0.0110427 | − | 0.0129681i | ||||
\(903\) | 35.0816 | − | 16.0212i | 1.16744 | − | 0.533153i | ||||
\(904\) | 4.52742 | − | 1.92781i | 0.150580 | − | 0.0641179i | ||||
\(905\) | 0.659493 | + | 4.58688i | 0.0219223 | + | 0.152473i | ||||
\(906\) | 3.68387 | + | 27.2888i | 0.122388 | + | 0.906608i | ||||
\(907\) | −31.5062 | + | 36.3600i | −1.04614 | + | 1.20732i | −0.0683692 | + | 0.997660i | \(0.521780\pi\) |
−0.977775 | + | 0.209655i | \(0.932766\pi\) | |||||||
\(908\) | 52.1456 | − | 14.3402i | 1.73051 | − | 0.475897i | ||||
\(909\) | −58.0095 | − | 37.2805i | −1.92405 | − | 1.23651i | ||||
\(910\) | 2.81696 | − | 9.29664i | 0.0933813 | − | 0.308180i | ||||
\(911\) | 29.8785 | + | 8.77312i | 0.989919 | + | 0.290666i | 0.736313 | − | 0.676641i | \(-0.236565\pi\) |
0.253606 | + | 0.967308i | \(0.418383\pi\) | |||||||
\(912\) | 5.22991 | + | 20.3851i | 0.173180 | + | 0.675018i | ||||
\(913\) | −2.78243 | − | 3.21110i | −0.0920851 | − | 0.106272i | ||||
\(914\) | 5.73696 | + | 5.05829i | 0.189762 | + | 0.167313i | ||||
\(915\) | −11.6798 | − | 39.7777i | −0.386122 | − | 1.31501i | ||||
\(916\) | 20.1701 | − | 8.79461i | 0.666440 | − | 0.290582i | ||||
\(917\) | −8.55434 | − | 1.22993i | −0.282489 | − | 0.0406158i | ||||
\(918\) | −53.5669 | − | 35.0811i | −1.76797 | − | 1.15785i | ||||
\(919\) | −7.92050 | −0.261273 | −0.130637 | − | 0.991430i | \(-0.541702\pi\) | ||||
−0.130637 | + | 0.991430i | \(0.541702\pi\) | |||||||
\(920\) | 5.90699 | + | 12.2110i | 0.194748 | + | 0.402583i | ||||
\(921\) | −44.8350 | −1.47736 | ||||||||
\(922\) | −31.3356 | − | 20.5218i | −1.03198 | − | 0.675849i | ||||
\(923\) | 53.9975 | + | 7.76367i | 1.77735 | + | 0.255544i | ||||
\(924\) | 3.12230 | − | 1.36139i | 0.102716 | − | 0.0447864i | ||||
\(925\) | −0.508667 | − | 1.73236i | −0.0167249 | − | 0.0569596i | ||||
\(926\) | −11.3360 | − | 9.99496i | −0.372523 | − | 0.328455i | ||||
\(927\) | −45.4279 | − | 52.4266i | −1.49205 | − | 1.72192i | ||||
\(928\) | 14.8586 | + | 18.7193i | 0.487758 | + | 0.614492i | ||||
\(929\) | −7.61775 | − | 2.23677i | −0.249930 | − | 0.0733861i | 0.154368 | − | 0.988013i | \(-0.450666\pi\) |
−0.404298 | + | 0.914627i | \(0.632484\pi\) | |||||||
\(930\) | 10.8265 | − | 35.7300i | 0.355015 | − | 1.17163i | ||||
\(931\) | −4.61315 | − | 2.96469i | −0.151190 | − | 0.0971638i | ||||
\(932\) | −47.8290 | + | 13.1531i | −1.56669 | + | 0.430845i | ||||
\(933\) | −16.6578 | + | 19.2242i | −0.545353 | + | 0.629371i | ||||
\(934\) | −4.54980 | − | 33.7033i | −0.148874 | − | 1.10280i | ||||
\(935\) | 0.148169 | + | 1.03054i | 0.00484564 | + | 0.0337022i | ||||
\(936\) | 27.1525 | + | 63.7673i | 0.887508 | + | 2.08430i | ||||
\(937\) | −31.6470 | + | 14.4527i | −1.03386 | + | 0.472149i | −0.858747 | − | 0.512399i | \(-0.828757\pi\) |
−0.175115 | + | 0.984548i | \(0.556030\pi\) | |||||||
\(938\) | 20.8527 | + | 24.4884i | 0.680865 | + | 0.799576i | ||||
\(939\) | 5.47540 | − | 11.9895i | 0.178683 | − | 0.391261i | ||||
\(940\) | 11.1043 | + | 13.2703i | 0.362184 | + | 0.432831i | ||||
\(941\) | 23.5602 | + | 36.6604i | 0.768041 | + | 1.19509i | 0.976173 | + | 0.216994i | \(0.0696252\pi\) |
−0.208132 | + | 0.978101i | \(0.566738\pi\) | |||||||
\(942\) | −40.0700 | − | 89.7800i | −1.30555 | − | 2.92519i | ||||
\(943\) | 3.58622 | + | 5.03183i | 0.116784 | + | 0.163859i | ||||
\(944\) | 46.0005 | − | 5.00325i | 1.49719 | − | 0.162842i | ||||
\(945\) | 19.8191 | − | 12.7370i | 0.644715 | − | 0.414333i | ||||
\(946\) | 2.42798 | − | 0.690254i | 0.0789403 | − | 0.0224421i | ||||
\(947\) | 17.6659 | + | 8.06777i | 0.574066 | + | 0.262167i | 0.681224 | − | 0.732075i | \(-0.261448\pi\) |
−0.107158 | + | 0.994242i | \(0.534175\pi\) | |||||||
\(948\) | −17.1507 | − | 8.19248i | −0.557029 | − | 0.266079i | ||||
\(949\) | 6.88088 | + | 15.0670i | 0.223363 | + | 0.489097i | ||||
\(950\) | 1.00169 | − | 2.14432i | 0.0324993 | − | 0.0695710i | ||||
\(951\) | 72.2891 | − | 10.3936i | 2.34413 | − | 0.337036i | ||||
\(952\) | 11.3787 | − | 16.7382i | 0.368786 | − | 0.542487i | ||||
\(953\) | −7.72081 | − | 6.69012i | −0.250102 | − | 0.216714i | 0.520783 | − | 0.853689i | \(-0.325640\pi\) |
−0.770885 | + | 0.636975i | \(0.780186\pi\) | |||||||
\(954\) | −55.9300 | − | 8.53394i | −1.81080 | − | 0.276296i | ||||
\(955\) | −9.78518 | + | 15.2260i | −0.316641 | + | 0.492703i | ||||
\(956\) | −0.0788756 | + | 0.00995675i | −0.00255102 | + | 0.000322024i | ||||
\(957\) | 1.05057 | − | 3.57793i | 0.0339602 | − | 0.115658i | ||||
\(958\) | −20.7322 | + | 13.0728i | −0.669827 | + | 0.422362i | ||||
\(959\) | −30.9811 | + | 26.8452i | −1.00043 | + | 0.866878i | ||||
\(960\) | −4.86076 | + | 24.6764i | −0.156880 | + | 0.796426i | ||||
\(961\) | 37.9126 | − | 11.1321i | 1.22299 | − | 0.359102i | ||||
\(962\) | −0.0783043 | + | 9.08897i | −0.00252463 | + | 0.293040i | ||||
\(963\) | 6.62559 | − | 46.0820i | 0.213507 | − | 1.48497i | ||||
\(964\) | 20.2620 | + | 3.27049i | 0.652595 | + | 0.105335i | ||||
\(965\) | − | 13.8166i | − | 0.444771i | ||||||
\(966\) | −38.9899 | + | 13.1371i | −1.25448 | + | 0.422679i | ||||
\(967\) | 35.1118i | 1.12912i | 0.825392 | + | 0.564560i | \(0.190954\pi\) | ||||
−0.825392 | + | 0.564560i | \(0.809046\pi\) | |||||||
\(968\) | −29.8535 | + | 7.93382i | −0.959528 | + | 0.255002i | ||||
\(969\) | 2.77675 | − | 19.3127i | 0.0892019 | − | 0.620413i | ||||
\(970\) | −19.8077 | − | 0.170650i | −0.635988 | − | 0.00547923i | ||||
\(971\) | −27.2052 | + | 7.98816i | −0.873055 | + | 0.256352i | −0.687414 | − | 0.726265i | \(-0.741254\pi\) |
−0.185641 | + | 0.982618i | \(0.559436\pi\) | |||||||
\(972\) | −11.4050 | + | 36.5031i | −0.365816 | + | 1.17084i | ||||
\(973\) | −13.8027 | + | 11.9601i | −0.442494 | + | 0.383423i | ||||
\(974\) | 8.38521 | + | 13.2982i | 0.268680 | + | 0.426101i | ||||
\(975\) | 3.15293 | − | 10.7379i | 0.100975 | − | 0.343888i | ||||
\(976\) | −30.0293 | + | 43.3650i | −0.961214 | + | 1.38808i | ||||
\(977\) | 28.2982 | − | 44.0329i | 0.905340 | − | 1.40874i | −0.00730008 | − | 0.999973i | \(-0.502324\pi\) |
0.912640 | − | 0.408764i | \(-0.134040\pi\) | |||||||
\(978\) | −4.17646 | + | 27.3718i | −0.133548 | + | 0.875253i | ||||
\(979\) | 2.62733 | + | 2.27660i | 0.0839700 | + | 0.0727604i | ||||
\(980\) | −3.44750 | − | 5.57325i | −0.110126 | − | 0.178031i | ||||
\(981\) | −88.0746 | + | 12.6632i | −2.81201 | + | 0.404305i | ||||
\(982\) | −24.7298 | − | 11.5522i | −0.789160 | − | 0.368646i | ||||
\(983\) | 4.29775 | + | 9.41076i | 0.137077 | + | 0.300156i | 0.965704 | − | 0.259644i | \(-0.0836051\pi\) |
−0.828628 | + | 0.559800i | \(0.810878\pi\) | |||||||
\(984\) | −0.296068 | + | 11.4528i | −0.00943829 | + | 0.365103i | ||||
\(985\) | −5.56666 | − | 2.54221i | −0.177368 | − | 0.0810014i | ||||
\(986\) | −6.05912 | − | 21.3130i | −0.192962 | − | 0.678745i | ||||
\(987\) | −44.1522 | + | 28.3749i | −1.40538 | + | 0.903182i | ||||
\(988\) | −7.95653 | + | 8.86884i | −0.253131 | + | 0.282155i | ||||
\(989\) | −29.9365 | + | 5.78236i | −0.951924 | + | 0.183869i | ||||
\(990\) | 2.49575 | − | 1.11389i | 0.0793202 | − | 0.0354017i | ||||
\(991\) | −18.8731 | − | 29.3672i | −0.599525 | − | 0.932879i | −0.999864 | − | 0.0165119i | \(-0.994744\pi\) |
0.400339 | − | 0.916367i | \(-0.368892\pi\) | |||||||
\(992\) | −44.0188 | + | 17.8540i | −1.39760 | + | 0.566864i | ||||
\(993\) | 9.90487 | − | 21.6886i | 0.314321 | − | 0.688268i | ||||
\(994\) | −31.8398 | + | 27.1126i | −1.00990 | + | 0.859960i | ||||
\(995\) | −3.01795 | + | 1.37825i | −0.0956755 | + | 0.0436935i | ||||
\(996\) | −1.63952 | + | 95.1443i | −0.0519501 | + | 3.01476i | ||||
\(997\) | 6.66308 | + | 46.3427i | 0.211022 | + | 1.46769i | 0.769754 | + | 0.638341i | \(0.220379\pi\) |
−0.558732 | + | 0.829348i | \(0.688712\pi\) | |||||||
\(998\) | −11.4856 | + | 1.55051i | −0.363571 | + | 0.0490805i | ||||
\(999\) | −14.4357 | + | 16.6596i | −0.456724 | + | 0.527088i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 460.2.q.a.11.11 | ✓ | 480 | |
4.3 | odd | 2 | inner | 460.2.q.a.11.28 | yes | 480 | |
23.21 | odd | 22 | inner | 460.2.q.a.251.28 | yes | 480 | |
92.67 | even | 22 | inner | 460.2.q.a.251.11 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
460.2.q.a.11.11 | ✓ | 480 | 1.1 | even | 1 | trivial | |
460.2.q.a.11.28 | yes | 480 | 4.3 | odd | 2 | inner | |
460.2.q.a.251.11 | yes | 480 | 92.67 | even | 22 | inner | |
460.2.q.a.251.28 | yes | 480 | 23.21 | odd | 22 | inner |