Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(92,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.92");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.w (of order \(7\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(174\) |
Relative dimension: | \(29\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 92.3 | ||
Character | \(\chi\) | \(=\) | 637.92 |
Dual form | 637.2.w.b.547.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.44058 | + | 1.80643i | −1.01864 | + | 1.27734i | −0.0583653 | + | 0.998295i | \(0.518589\pi\) |
−0.960278 | + | 0.279044i | \(0.909983\pi\) | |||||||
\(3\) | −0.133830 | − | 0.0644489i | −0.0772666 | − | 0.0372096i | 0.394851 | − | 0.918745i | \(-0.370796\pi\) |
−0.472118 | + | 0.881535i | \(0.656510\pi\) | |||||||
\(4\) | −0.742877 | − | 3.25476i | −0.371439 | − | 1.62738i | ||||
\(5\) | −3.89600 | − | 1.87621i | −1.74234 | − | 0.839068i | −0.981835 | − | 0.189739i | \(-0.939236\pi\) |
−0.760508 | − | 0.649329i | \(-0.775050\pi\) | |||||||
\(6\) | 0.309215 | − | 0.148910i | 0.126236 | − | 0.0607922i | ||||
\(7\) | −1.21227 | + | 2.35168i | −0.458194 | + | 0.888852i | ||||
\(8\) | 2.78627 | + | 1.34180i | 0.985094 | + | 0.474396i | ||||
\(9\) | −1.85671 | − | 2.32824i | −0.618904 | − | 0.776081i | ||||
\(10\) | 9.00174 | − | 4.33501i | 2.84660 | − | 1.37085i | ||||
\(11\) | −2.80434 | + | 3.51653i | −0.845541 | + | 1.06027i | 0.151873 | + | 0.988400i | \(0.451470\pi\) |
−0.997414 | + | 0.0718745i | \(0.977102\pi\) | |||||||
\(12\) | −0.110347 | + | 0.483461i | −0.0318544 | + | 0.139563i | ||||
\(13\) | 0.623490 | − | 0.781831i | 0.172925 | − | 0.216841i | ||||
\(14\) | −2.50178 | − | 5.57766i | −0.668629 | − | 1.49069i | ||||
\(15\) | 0.400480 | + | 0.502186i | 0.103403 | + | 0.129664i | ||||
\(16\) | −0.422006 | + | 0.203227i | −0.105501 | + | 0.0508068i | ||||
\(17\) | 0.401146 | − | 1.75754i | 0.0972922 | − | 0.426265i | −0.902700 | − | 0.430271i | \(-0.858418\pi\) |
0.999992 | + | 0.00400588i | \(0.00127512\pi\) | |||||||
\(18\) | 6.88055 | 1.62176 | ||||||||
\(19\) | −0.231176 | −0.0530353 | −0.0265177 | − | 0.999648i | \(-0.508442\pi\) | ||||
−0.0265177 | + | 0.999648i | \(0.508442\pi\) | |||||||
\(20\) | −3.21237 | + | 14.0743i | −0.718308 | + | 3.14711i | ||||
\(21\) | 0.313801 | − | 0.236595i | 0.0684769 | − | 0.0516293i | ||||
\(22\) | −2.31249 | − | 10.1317i | −0.493025 | − | 2.16008i | ||||
\(23\) | −1.27641 | − | 5.59232i | −0.266150 | − | 1.16608i | −0.914451 | − | 0.404696i | \(-0.867377\pi\) |
0.648301 | − | 0.761384i | \(-0.275480\pi\) | |||||||
\(24\) | −0.286408 | − | 0.359144i | −0.0584628 | − | 0.0733100i | ||||
\(25\) | 8.54116 | + | 10.7103i | 1.70823 | + | 2.14206i | ||||
\(26\) | 0.514137 | + | 2.25258i | 0.100831 | + | 0.441768i | ||||
\(27\) | 0.197590 | + | 0.865698i | 0.0380262 | + | 0.166604i | ||||
\(28\) | 8.55472 | + | 2.19863i | 1.61669 | + | 0.415501i | ||||
\(29\) | −1.19148 | + | 5.22020i | −0.221252 | + | 0.969368i | 0.735285 | + | 0.677758i | \(0.237048\pi\) |
−0.956537 | + | 0.291610i | \(0.905809\pi\) | |||||||
\(30\) | −1.48409 | −0.270956 | ||||||||
\(31\) | 6.94034 | 1.24652 | 0.623261 | − | 0.782014i | \(-0.285807\pi\) | ||||
0.623261 | + | 0.782014i | \(0.285807\pi\) | |||||||
\(32\) | −1.13549 | + | 4.97489i | −0.200727 | + | 0.879444i | ||||
\(33\) | 0.601941 | − | 0.289879i | 0.104784 | − | 0.0504615i | ||||
\(34\) | 2.59698 | + | 3.25651i | 0.445379 | + | 0.558488i | ||||
\(35\) | 9.13525 | − | 6.88767i | 1.54414 | − | 1.16423i | ||||
\(36\) | −6.19856 | + | 7.77275i | −1.03309 | + | 1.29546i | ||||
\(37\) | −0.717912 | + | 3.14538i | −0.118024 | + | 0.517097i | 0.881008 | + | 0.473102i | \(0.156866\pi\) |
−0.999032 | + | 0.0439950i | \(0.985991\pi\) | |||||||
\(38\) | 0.333027 | − | 0.417603i | 0.0540241 | − | 0.0677441i | ||||
\(39\) | −0.133830 | + | 0.0644489i | −0.0214299 | + | 0.0103201i | ||||
\(40\) | −8.33779 | − | 10.4553i | −1.31832 | − | 1.65312i | ||||
\(41\) | 6.70317 | + | 3.22808i | 1.04686 | + | 0.504141i | 0.876580 | − | 0.481255i | \(-0.159819\pi\) |
0.170278 | + | 0.985396i | \(0.445533\pi\) | |||||||
\(42\) | −0.0246622 | + | 0.907693i | −0.00380546 | + | 0.140060i | ||||
\(43\) | 0.174385 | − | 0.0839792i | 0.0265934 | − | 0.0128067i | −0.420540 | − | 0.907274i | \(-0.638159\pi\) |
0.447133 | + | 0.894467i | \(0.352445\pi\) | |||||||
\(44\) | 13.5287 | + | 6.51510i | 2.03953 | + | 0.982188i | ||||
\(45\) | 2.86546 | + | 12.5544i | 0.427158 | + | 1.87150i | ||||
\(46\) | 11.9409 | + | 5.75044i | 1.76059 | + | 0.847856i | ||||
\(47\) | 4.37411 | − | 5.48496i | 0.638029 | − | 0.800063i | −0.352726 | − | 0.935727i | \(-0.614745\pi\) |
0.990755 | + | 0.135664i | \(0.0433166\pi\) | |||||||
\(48\) | 0.0695747 | 0.0100422 | ||||||||
\(49\) | −4.06081 | − | 5.70174i | −0.580116 | − | 0.814534i | ||||
\(50\) | −31.6516 | −4.47621 | ||||||||
\(51\) | −0.166957 | + | 0.209357i | −0.0233786 | + | 0.0293158i | ||||
\(52\) | −3.00785 | − | 1.44850i | −0.417113 | − | 0.200871i | ||||
\(53\) | −1.41937 | − | 6.21867i | −0.194966 | − | 0.854200i | −0.973879 | − | 0.227068i | \(-0.927086\pi\) |
0.778913 | − | 0.627132i | \(-0.215771\pi\) | |||||||
\(54\) | −1.84847 | − | 0.890174i | −0.251544 | − | 0.121137i | ||||
\(55\) | 17.5235 | − | 8.43886i | 2.36286 | − | 1.13790i | ||||
\(56\) | −6.53318 | + | 4.92580i | −0.873033 | + | 0.658238i | ||||
\(57\) | 0.0309382 | + | 0.0148990i | 0.00409786 | + | 0.00197342i | ||||
\(58\) | −7.71351 | − | 9.67244i | −1.01283 | − | 1.27005i | ||||
\(59\) | 0.0947729 | − | 0.0456402i | 0.0123384 | − | 0.00594185i | −0.427704 | − | 0.903919i | \(-0.640678\pi\) |
0.440043 | + | 0.897977i | \(0.354963\pi\) | |||||||
\(60\) | 1.33699 | − | 1.67653i | 0.172604 | − | 0.216439i | ||||
\(61\) | −2.53323 | + | 11.0988i | −0.324346 | + | 1.42105i | 0.505386 | + | 0.862893i | \(0.331350\pi\) |
−0.829733 | + | 0.558161i | \(0.811507\pi\) | |||||||
\(62\) | −9.99811 | + | 12.5372i | −1.26976 | + | 1.59223i | ||||
\(63\) | 7.72612 | − | 1.54394i | 0.973400 | − | 0.194518i | ||||
\(64\) | −7.93510 | − | 9.95030i | −0.991888 | − | 1.24379i | ||||
\(65\) | −3.89600 | + | 1.87621i | −0.483239 | + | 0.232716i | ||||
\(66\) | −0.343497 | + | 1.50496i | −0.0422815 | + | 0.185248i | ||||
\(67\) | 2.01285 | 0.245909 | 0.122955 | − | 0.992412i | \(-0.460763\pi\) | ||||
0.122955 | + | 0.992412i | \(0.460763\pi\) | |||||||
\(68\) | −6.01836 | −0.729833 | ||||||||
\(69\) | −0.189598 | + | 0.830682i | −0.0228249 | + | 0.100002i | ||||
\(70\) | −0.717956 | + | 26.4244i | −0.0858122 | + | 3.15832i | ||||
\(71\) | −0.819343 | − | 3.58978i | −0.0972381 | − | 0.426028i | 0.902753 | − | 0.430159i | \(-0.141542\pi\) |
−0.999991 | + | 0.00413053i | \(0.998685\pi\) | |||||||
\(72\) | −2.04927 | − | 8.97844i | −0.241509 | − | 1.05812i | ||||
\(73\) | −6.06488 | − | 7.60512i | −0.709840 | − | 0.890112i | 0.287875 | − | 0.957668i | \(-0.407051\pi\) |
−0.997715 | + | 0.0675562i | \(0.978480\pi\) | |||||||
\(74\) | −4.64769 | − | 5.82802i | −0.540283 | − | 0.677494i | ||||
\(75\) | −0.452794 | − | 1.98382i | −0.0522842 | − | 0.229072i | ||||
\(76\) | 0.171735 | + | 0.752421i | 0.0196994 | + | 0.0863086i | ||||
\(77\) | −4.87015 | − | 10.8579i | −0.555006 | − | 1.23737i | ||||
\(78\) | 0.0763697 | − | 0.334598i | 0.00864717 | − | 0.0378857i | ||||
\(79\) | 4.15953 | 0.467984 | 0.233992 | − | 0.972239i | \(-0.424821\pi\) | ||||
0.233992 | + | 0.972239i | \(0.424821\pi\) | |||||||
\(80\) | 2.02543 | 0.226450 | ||||||||
\(81\) | −1.95861 | + | 8.58123i | −0.217623 | + | 0.953470i | ||||
\(82\) | −15.4877 | + | 7.45850i | −1.71033 | + | 0.823654i | ||||
\(83\) | 1.05155 | + | 1.31860i | 0.115422 | + | 0.144735i | 0.836186 | − | 0.548446i | \(-0.184780\pi\) |
−0.720764 | + | 0.693181i | \(0.756209\pi\) | |||||||
\(84\) | −1.00318 | − | 0.845584i | −0.109455 | − | 0.0922608i | ||||
\(85\) | −4.86038 | + | 6.09472i | −0.527182 | + | 0.661065i | ||||
\(86\) | −0.0995123 | + | 0.435992i | −0.0107307 | + | 0.0470142i | ||||
\(87\) | 0.495892 | − | 0.621828i | 0.0531652 | − | 0.0666670i | ||||
\(88\) | −12.5321 | + | 6.03515i | −1.33593 | + | 0.643349i | ||||
\(89\) | −3.27454 | − | 4.10615i | −0.347101 | − | 0.435251i | 0.577382 | − | 0.816474i | \(-0.304074\pi\) |
−0.924483 | + | 0.381223i | \(0.875503\pi\) | |||||||
\(90\) | −26.8066 | − | 12.9094i | −2.82566 | − | 1.36077i | ||||
\(91\) | 1.08278 | + | 2.41404i | 0.113506 | + | 0.253060i | ||||
\(92\) | −17.2534 | + | 8.30881i | −1.79879 | + | 0.866254i | ||||
\(93\) | −0.928823 | − | 0.447298i | −0.0963145 | − | 0.0463826i | ||||
\(94\) | 3.60694 | + | 15.8030i | 0.372027 | + | 1.62996i | ||||
\(95\) | 0.900660 | + | 0.433735i | 0.0924057 | + | 0.0445003i | ||||
\(96\) | 0.472588 | − | 0.592606i | 0.0482333 | − | 0.0604826i | ||||
\(97\) | −0.135023 | −0.0137096 | −0.00685478 | − | 0.999977i | \(-0.502182\pi\) | ||||
−0.00685478 | + | 0.999977i | \(0.502182\pi\) | |||||||
\(98\) | 16.1497 | + | 0.878229i | 1.63137 | + | 0.0887145i | ||||
\(99\) | 13.3942 | 1.34617 | ||||||||
\(100\) | 28.5143 | − | 35.7558i | 2.85143 | − | 3.57558i | ||||
\(101\) | 15.0833 | + | 7.26374i | 1.50085 | + | 0.722770i | 0.990540 | − | 0.137223i | \(-0.0438178\pi\) |
0.510306 | + | 0.859993i | \(0.329532\pi\) | |||||||
\(102\) | −0.137674 | − | 0.603191i | −0.0136318 | − | 0.0597248i | ||||
\(103\) | −5.17615 | − | 2.49270i | −0.510021 | − | 0.245613i | 0.161131 | − | 0.986933i | \(-0.448486\pi\) |
−0.671152 | + | 0.741320i | \(0.734200\pi\) | |||||||
\(104\) | 2.78627 | − | 1.34180i | 0.273216 | − | 0.131574i | ||||
\(105\) | −1.66647 | + | 0.333017i | −0.162631 | + | 0.0324992i | ||||
\(106\) | 13.2783 | + | 6.39450i | 1.28970 | + | 0.621088i | ||||
\(107\) | −4.51808 | − | 5.66550i | −0.436780 | − | 0.547704i | 0.513912 | − | 0.857843i | \(-0.328196\pi\) |
−0.950691 | + | 0.310139i | \(0.899624\pi\) | |||||||
\(108\) | 2.67085 | − | 1.28621i | 0.257003 | − | 0.123766i | ||||
\(109\) | 1.60875 | − | 2.01731i | 0.154091 | − | 0.193224i | −0.698794 | − | 0.715323i | \(-0.746280\pi\) |
0.852885 | + | 0.522099i | \(0.174851\pi\) | |||||||
\(110\) | −9.99975 | + | 43.8118i | −0.953439 | + | 4.17729i | ||||
\(111\) | 0.298794 | − | 0.374676i | 0.0283603 | − | 0.0355627i | ||||
\(112\) | 0.0336581 | − | 1.23879i | 0.00318039 | − | 0.117055i | ||||
\(113\) | 8.81749 | + | 11.0568i | 0.829480 | + | 1.04013i | 0.998512 | + | 0.0545244i | \(0.0173643\pi\) |
−0.169033 | + | 0.985610i | \(0.554064\pi\) | |||||||
\(114\) | −0.0714829 | + | 0.0344244i | −0.00669499 | + | 0.00322414i | ||||
\(115\) | −5.51949 | + | 24.1825i | −0.514695 | + | 2.25503i | ||||
\(116\) | 17.8756 | 1.65971 | ||||||||
\(117\) | −2.97794 | −0.275310 | ||||||||
\(118\) | −0.0540821 | + | 0.236949i | −0.00497866 | + | 0.0218129i | ||||
\(119\) | 3.64687 | + | 3.07397i | 0.334308 | + | 0.281791i | ||||
\(120\) | 0.442013 | + | 1.93659i | 0.0403501 | + | 0.176785i | ||||
\(121\) | −2.05394 | − | 8.99891i | −0.186722 | − | 0.818083i | ||||
\(122\) | −16.3999 | − | 20.5648i | −1.48477 | − | 1.86185i | ||||
\(123\) | −0.689036 | − | 0.864024i | −0.0621283 | − | 0.0779064i | ||||
\(124\) | −5.15582 | − | 22.5891i | −0.463006 | − | 2.02856i | ||||
\(125\) | −8.37041 | − | 36.6732i | −0.748673 | − | 3.28015i | ||||
\(126\) | −8.34107 | + | 16.1809i | −0.743082 | + | 1.44151i | ||||
\(127\) | 4.56453 | − | 19.9985i | 0.405036 | − | 1.77458i | −0.201464 | − | 0.979496i | \(-0.564570\pi\) |
0.606500 | − | 0.795084i | \(-0.292573\pi\) | |||||||
\(128\) | 19.2000 | 1.69706 | ||||||||
\(129\) | −0.0287502 | −0.00253131 | ||||||||
\(130\) | 2.22325 | − | 9.74068i | 0.194992 | − | 0.854314i | ||||
\(131\) | 8.21716 | − | 3.95718i | 0.717937 | − | 0.345740i | −0.0389901 | − | 0.999240i | \(-0.512414\pi\) |
0.756927 | + | 0.653499i | \(0.226700\pi\) | |||||||
\(132\) | −1.39066 | − | 1.74383i | −0.121041 | − | 0.151781i | ||||
\(133\) | 0.280247 | − | 0.543652i | 0.0243005 | − | 0.0471406i | ||||
\(134\) | −2.89967 | + | 3.63608i | −0.250494 | + | 0.314109i | ||||
\(135\) | 0.854424 | − | 3.74348i | 0.0735371 | − | 0.322187i | ||||
\(136\) | 3.47596 | − | 4.35871i | 0.298061 | − | 0.373756i | ||||
\(137\) | −16.7247 | + | 8.05418i | −1.42889 | + | 0.688115i | −0.978790 | − | 0.204865i | \(-0.934324\pi\) |
−0.450096 | + | 0.892980i | \(0.648610\pi\) | |||||||
\(138\) | −1.22744 | − | 1.53916i | −0.104486 | − | 0.131022i | ||||
\(139\) | 16.3375 | + | 7.86771i | 1.38573 | + | 0.667330i | 0.970212 | − | 0.242256i | \(-0.0778875\pi\) |
0.415514 | + | 0.909587i | \(0.363602\pi\) | |||||||
\(140\) | −29.2041 | − | 24.6163i | −2.46819 | − | 2.08046i | ||||
\(141\) | −0.938885 | + | 0.452143i | −0.0790684 | + | 0.0380773i | ||||
\(142\) | 7.66501 | + | 3.69127i | 0.643233 | + | 0.309765i | ||||
\(143\) | 1.00086 | + | 4.38504i | 0.0836959 | + | 0.366696i | ||||
\(144\) | 1.25671 | + | 0.605198i | 0.104726 | + | 0.0504331i | ||||
\(145\) | 14.4362 | − | 18.1024i | 1.19886 | − | 1.50332i | ||||
\(146\) | 22.4751 | 1.86005 | ||||||||
\(147\) | 0.175986 | + | 1.02478i | 0.0145151 | + | 0.0845221i | ||||
\(148\) | 10.7708 | 0.885351 | ||||||||
\(149\) | 4.59317 | − | 5.75966i | 0.376287 | − | 0.471849i | −0.557242 | − | 0.830350i | \(-0.688140\pi\) |
0.933529 | + | 0.358501i | \(0.116712\pi\) | |||||||
\(150\) | 4.23592 | + | 2.03991i | 0.345861 | + | 0.166558i | ||||
\(151\) | −4.55036 | − | 19.9364i | −0.370303 | − | 1.62240i | −0.725925 | − | 0.687774i | \(-0.758588\pi\) |
0.355622 | − | 0.934630i | \(-0.384269\pi\) | |||||||
\(152\) | −0.644117 | − | 0.310191i | −0.0522448 | − | 0.0251598i | ||||
\(153\) | −4.83679 | + | 2.32927i | −0.391031 | + | 0.188311i | ||||
\(154\) | 26.6299 | + | 6.84408i | 2.14590 | + | 0.551511i | ||||
\(155\) | −27.0395 | − | 13.0216i | −2.17187 | − | 1.04592i | ||||
\(156\) | 0.309185 | + | 0.387705i | 0.0247546 | + | 0.0310413i | ||||
\(157\) | 21.0644 | − | 10.1441i | 1.68112 | − | 0.809584i | 0.684360 | − | 0.729144i | \(-0.260082\pi\) |
0.996759 | − | 0.0804402i | \(-0.0256326\pi\) | |||||||
\(158\) | −5.99214 | + | 7.51390i | −0.476709 | + | 0.597774i | ||||
\(159\) | −0.210833 | + | 0.923719i | −0.0167201 | + | 0.0732557i | ||||
\(160\) | 13.7578 | − | 17.2517i | 1.08765 | − | 1.36387i | ||||
\(161\) | 14.6987 | + | 3.77768i | 1.15842 | + | 0.297723i | ||||
\(162\) | −12.6799 | − | 15.9000i | −0.996223 | − | 1.24922i | ||||
\(163\) | −1.49618 | + | 0.720522i | −0.117190 | + | 0.0564356i | −0.491560 | − | 0.870844i | \(-0.663573\pi\) |
0.374370 | + | 0.927279i | \(0.377859\pi\) | |||||||
\(164\) | 5.52697 | − | 24.2152i | 0.431584 | − | 1.89089i | ||||
\(165\) | −2.88903 | −0.224911 | ||||||||
\(166\) | −3.89679 | −0.302450 | ||||||||
\(167\) | −0.109217 | + | 0.478509i | −0.00845144 | + | 0.0370282i | −0.978978 | − | 0.203967i | \(-0.934617\pi\) |
0.970526 | + | 0.240995i | \(0.0774737\pi\) | |||||||
\(168\) | 1.19180 | − | 0.238161i | 0.0919490 | − | 0.0183745i | ||||
\(169\) | −0.222521 | − | 0.974928i | −0.0171170 | − | 0.0749945i | ||||
\(170\) | −4.00792 | − | 17.5599i | −0.307394 | − | 1.34678i | ||||
\(171\) | 0.429227 | + | 0.538233i | 0.0328238 | + | 0.0411597i | ||||
\(172\) | −0.402878 | − | 0.505193i | −0.0307192 | − | 0.0385206i | ||||
\(173\) | 3.25482 | + | 14.2603i | 0.247459 | + | 1.08419i | 0.934049 | + | 0.357145i | \(0.116250\pi\) |
−0.686590 | + | 0.727045i | \(0.740893\pi\) | |||||||
\(174\) | 0.408918 | + | 1.79159i | 0.0310000 | + | 0.135820i | ||||
\(175\) | −35.5413 | + | 7.10237i | −2.68667 | + | 0.536889i | ||||
\(176\) | 0.468793 | − | 2.05392i | 0.0353366 | − | 0.154820i | ||||
\(177\) | −0.0156249 | −0.00117444 | ||||||||
\(178\) | 12.1347 | 0.909535 | ||||||||
\(179\) | −4.84327 | + | 21.2197i | −0.362003 | + | 1.58604i | 0.386102 | + | 0.922456i | \(0.373821\pi\) |
−0.748104 | + | 0.663581i | \(0.769036\pi\) | |||||||
\(180\) | 38.7329 | − | 18.6528i | 2.88698 | − | 1.39030i | ||||
\(181\) | 8.85108 | + | 11.0989i | 0.657896 | + | 0.824975i | 0.993112 | − | 0.117166i | \(-0.0373809\pi\) |
−0.335216 | + | 0.942141i | \(0.608809\pi\) | |||||||
\(182\) | −5.92063 | − | 1.52164i | −0.438866 | − | 0.112792i | ||||
\(183\) | 1.05433 | − | 1.32208i | 0.0779380 | − | 0.0977312i | ||||
\(184\) | 3.94733 | − | 17.2944i | 0.291001 | − | 1.27496i | ||||
\(185\) | 8.69838 | − | 10.9074i | 0.639517 | − | 0.801929i | ||||
\(186\) | 2.14606 | − | 1.03349i | 0.157356 | − | 0.0757789i | ||||
\(187\) | 5.05548 | + | 6.33938i | 0.369694 | + | 0.463581i | ||||
\(188\) | −21.1016 | − | 10.1620i | −1.53899 | − | 0.741140i | ||||
\(189\) | −2.27538 | − | 0.584789i | −0.165509 | − | 0.0425371i | ||||
\(190\) | −2.08098 | + | 1.00215i | −0.150970 | + | 0.0727035i | ||||
\(191\) | −10.7650 | − | 5.18413i | −0.778925 | − | 0.375110i | 0.00178962 | − | 0.999998i | \(-0.499430\pi\) |
−0.780714 | + | 0.624888i | \(0.785145\pi\) | |||||||
\(192\) | 0.420665 | + | 1.84305i | 0.0303589 | + | 0.133011i | ||||
\(193\) | 10.8949 | + | 5.24671i | 0.784232 | + | 0.377666i | 0.782753 | − | 0.622333i | \(-0.213815\pi\) |
0.00147919 | + | 0.999999i | \(0.499529\pi\) | |||||||
\(194\) | 0.194512 | − | 0.243910i | 0.0139652 | − | 0.0175117i | ||||
\(195\) | 0.642320 | 0.0459975 | ||||||||
\(196\) | −15.5411 | + | 17.4527i | −1.11008 | + | 1.24662i | ||||
\(197\) | −4.32451 | −0.308109 | −0.154054 | − | 0.988062i | \(-0.549233\pi\) | ||||
−0.154054 | + | 0.988062i | \(0.549233\pi\) | |||||||
\(198\) | −19.2954 | + | 24.1957i | −1.37127 | + | 1.71951i | ||||
\(199\) | −1.81617 | − | 0.874619i | −0.128745 | − | 0.0620001i | 0.368403 | − | 0.929666i | \(-0.379905\pi\) |
−0.497147 | + | 0.867666i | \(0.665619\pi\) | |||||||
\(200\) | 9.42696 | + | 41.3022i | 0.666587 | + | 2.92051i | ||||
\(201\) | −0.269379 | − | 0.129726i | −0.0190005 | − | 0.00915018i | ||||
\(202\) | −34.8502 | + | 16.7830i | −2.45205 | + | 1.18084i | ||||
\(203\) | −10.8319 | − | 9.13026i | −0.760248 | − | 0.640819i | ||||
\(204\) | 0.805434 | + | 0.387877i | 0.0563917 | + | 0.0271568i | ||||
\(205\) | −20.0590 | − | 25.1531i | −1.40098 | − | 1.75677i | ||||
\(206\) | 11.9596 | − | 5.75942i | 0.833261 | − | 0.401278i | ||||
\(207\) | −10.6504 | + | 13.3551i | −0.740251 | + | 0.928246i | ||||
\(208\) | −0.104227 | + | 0.456648i | −0.00722683 | + | 0.0316628i | ||||
\(209\) | 0.648296 | − | 0.812937i | 0.0448435 | − | 0.0562320i | ||||
\(210\) | 1.79911 | − | 3.49010i | 0.124150 | − | 0.240840i | ||||
\(211\) | 6.56748 | + | 8.23536i | 0.452124 | + | 0.566946i | 0.954693 | − | 0.297591i | \(-0.0961833\pi\) |
−0.502569 | + | 0.864537i | \(0.667612\pi\) | |||||||
\(212\) | −19.1858 | + | 9.23942i | −1.31769 | + | 0.634566i | ||||
\(213\) | −0.121705 | + | 0.533224i | −0.00833908 | + | 0.0365359i | ||||
\(214\) | 16.7430 | 1.14453 | ||||||||
\(215\) | −0.836964 | −0.0570805 | ||||||||
\(216\) | −0.611051 | + | 2.67719i | −0.0415768 | + | 0.182160i | ||||
\(217\) | −8.41355 | + | 16.3215i | −0.571149 | + | 1.10797i | ||||
\(218\) | 1.32660 | + | 5.81220i | 0.0898485 | + | 0.393652i | ||||
\(219\) | 0.321519 | + | 1.40867i | 0.0217262 | + | 0.0951888i | ||||
\(220\) | −40.4842 | − | 50.7656i | −2.72944 | − | 3.42262i | ||||
\(221\) | −1.12399 | − | 1.40943i | −0.0756075 | − | 0.0948088i | ||||
\(222\) | 0.246389 | + | 1.07950i | 0.0165366 | + | 0.0724514i | ||||
\(223\) | 2.03474 | + | 8.91476i | 0.136256 | + | 0.596976i | 0.996239 | + | 0.0866530i | \(0.0276171\pi\) |
−0.859983 | + | 0.510323i | \(0.829526\pi\) | |||||||
\(224\) | −10.3228 | − | 8.70120i | −0.689724 | − | 0.581373i | ||||
\(225\) | 9.07766 | − | 39.7718i | 0.605177 | − | 2.65145i | ||||
\(226\) | −32.6756 | −2.17355 | ||||||||
\(227\) | 23.8252 | 1.58133 | 0.790667 | − | 0.612247i | \(-0.209734\pi\) | ||||
0.790667 | + | 0.612247i | \(0.209734\pi\) | |||||||
\(228\) | 0.0255095 | − | 0.111764i | 0.00168941 | − | 0.00740177i | ||||
\(229\) | 1.51910 | − | 0.731561i | 0.100385 | − | 0.0483429i | −0.383017 | − | 0.923741i | \(-0.625115\pi\) |
0.483402 | + | 0.875398i | \(0.339401\pi\) | |||||||
\(230\) | −35.7327 | − | 44.8074i | −2.35614 | − | 2.95451i | ||||
\(231\) | −0.0480093 | + | 1.76698i | −0.00315878 | + | 0.116259i | ||||
\(232\) | −10.3242 | + | 12.9462i | −0.677818 | + | 0.849957i | ||||
\(233\) | −4.15501 | + | 18.2043i | −0.272204 | + | 1.19260i | 0.635202 | + | 0.772346i | \(0.280917\pi\) |
−0.907406 | + | 0.420256i | \(0.861940\pi\) | |||||||
\(234\) | 4.28995 | − | 5.37943i | 0.280443 | − | 0.351665i | ||||
\(235\) | −27.3324 | + | 13.1626i | −1.78297 | + | 0.858634i | ||||
\(236\) | −0.218952 | − | 0.274558i | −0.0142526 | − | 0.0178722i | ||||
\(237\) | −0.556669 | − | 0.268077i | −0.0361595 | − | 0.0174135i | ||||
\(238\) | −10.8065 | + | 2.15951i | −0.700483 | + | 0.139980i | ||||
\(239\) | 14.7199 | − | 7.08871i | 0.952148 | − | 0.458531i | 0.107710 | − | 0.994182i | \(-0.465648\pi\) |
0.844439 | + | 0.535652i | \(0.179934\pi\) | |||||||
\(240\) | −0.271063 | − | 0.130537i | −0.0174970 | − | 0.00842612i | ||||
\(241\) | −4.00209 | − | 17.5343i | −0.257797 | − | 1.12948i | −0.923601 | − | 0.383356i | \(-0.874768\pi\) |
0.665803 | − | 0.746127i | \(-0.268089\pi\) | |||||||
\(242\) | 19.2148 | + | 9.25335i | 1.23517 | + | 0.594828i | ||||
\(243\) | 2.47607 | − | 3.10490i | 0.158840 | − | 0.199179i | ||||
\(244\) | 38.0057 | 2.43307 | ||||||||
\(245\) | 5.12325 | + | 29.8329i | 0.327312 | + | 1.90595i | ||||
\(246\) | 2.55341 | 0.162800 | ||||||||
\(247\) | −0.144136 | + | 0.180740i | −0.00917113 | + | 0.0115002i | ||||
\(248\) | 19.3376 | + | 9.31252i | 1.22794 | + | 0.591346i | ||||
\(249\) | −0.0557459 | − | 0.244239i | −0.00353275 | − | 0.0154780i | ||||
\(250\) | 78.3058 | + | 37.7101i | 4.95249 | + | 2.38499i | ||||
\(251\) | 19.8614 | − | 9.56475i | 1.25364 | − | 0.603722i | 0.315156 | − | 0.949040i | \(-0.397943\pi\) |
0.938486 | + | 0.345318i | \(0.112229\pi\) | |||||||
\(252\) | −10.7647 | − | 23.9997i | −0.678113 | − | 1.51184i | ||||
\(253\) | 23.2451 | + | 11.1942i | 1.46141 | + | 0.703776i | ||||
\(254\) | 29.5503 | + | 37.0549i | 1.85415 | + | 2.32503i | ||||
\(255\) | 1.04326 | − | 0.502408i | 0.0653315 | − | 0.0314620i | ||||
\(256\) | −11.7890 | + | 14.7829i | −0.736810 | + | 0.923930i | ||||
\(257\) | 0.0723983 | − | 0.317198i | 0.00451608 | − | 0.0197863i | −0.972620 | − | 0.232403i | \(-0.925341\pi\) |
0.977136 | + | 0.212616i | \(0.0681985\pi\) | |||||||
\(258\) | 0.0414169 | − | 0.0519352i | 0.00257851 | − | 0.00323334i | ||||
\(259\) | −6.52662 | − | 5.50134i | −0.405545 | − | 0.341837i | ||||
\(260\) | 9.00086 | + | 11.2867i | 0.558210 | + | 0.699973i | ||||
\(261\) | 14.3661 | − | 6.91837i | 0.889242 | − | 0.428236i | ||||
\(262\) | −4.68912 | + | 20.5444i | −0.289695 | + | 1.26923i | ||||
\(263\) | −12.5764 | −0.775494 | −0.387747 | − | 0.921766i | \(-0.626747\pi\) | ||||
−0.387747 | + | 0.921766i | \(0.626747\pi\) | |||||||
\(264\) | 2.06613 | 0.127161 | ||||||||
\(265\) | −6.13769 | + | 26.8910i | −0.377035 | + | 1.65190i | ||||
\(266\) | 0.578351 | + | 1.28942i | 0.0354610 | + | 0.0790594i | ||||
\(267\) | 0.173594 | + | 0.760565i | 0.0106238 | + | 0.0465458i | ||||
\(268\) | −1.49530 | − | 6.55134i | −0.0913401 | − | 0.400187i | ||||
\(269\) | 7.73245 | + | 9.69619i | 0.471456 | + | 0.591187i | 0.959527 | − | 0.281617i | \(-0.0908707\pi\) |
−0.488071 | + | 0.872804i | \(0.662299\pi\) | |||||||
\(270\) | 5.53146 | + | 6.93623i | 0.336634 | + | 0.422126i | ||||
\(271\) | 2.46573 | + | 10.8031i | 0.149782 | + | 0.656239i | 0.992945 | + | 0.118580i | \(0.0378341\pi\) |
−0.843162 | + | 0.537659i | \(0.819309\pi\) | |||||||
\(272\) | 0.187893 | + | 0.823214i | 0.0113927 | + | 0.0499147i | ||||
\(273\) | 0.0106739 | − | 0.392854i | 0.000646015 | − | 0.0237766i | ||||
\(274\) | 9.54392 | − | 41.8147i | 0.576569 | − | 2.52612i | ||||
\(275\) | −61.6154 | −3.71555 | ||||||||
\(276\) | 2.84451 | 0.171220 | ||||||||
\(277\) | 6.39246 | − | 28.0072i | 0.384086 | − | 1.68279i | −0.300439 | − | 0.953801i | \(-0.597133\pi\) |
0.684525 | − | 0.728990i | \(-0.260010\pi\) | |||||||
\(278\) | −37.7479 | + | 18.1784i | −2.26397 | + | 1.09027i | ||||
\(279\) | −12.8862 | − | 16.1588i | −0.771478 | − | 0.967402i | ||||
\(280\) | 34.6951 | − | 6.93326i | 2.07343 | − | 0.414342i | ||||
\(281\) | −16.7191 | + | 20.9651i | −0.997376 | + | 1.25067i | −0.0294158 | + | 0.999567i | \(0.509365\pi\) |
−0.967960 | + | 0.251103i | \(0.919207\pi\) | |||||||
\(282\) | 0.535774 | − | 2.34738i | 0.0319049 | − | 0.139784i | ||||
\(283\) | 7.04089 | − | 8.82899i | 0.418537 | − | 0.524829i | −0.527209 | − | 0.849736i | \(-0.676761\pi\) |
0.945746 | + | 0.324907i | \(0.105333\pi\) | |||||||
\(284\) | −11.0752 | + | 5.33352i | −0.657191 | + | 0.316486i | ||||
\(285\) | −0.0925812 | − | 0.116093i | −0.00548404 | − | 0.00687676i | ||||
\(286\) | −9.36309 | − | 4.50903i | −0.553651 | − | 0.266624i | ||||
\(287\) | −15.7174 | + | 11.8504i | −0.927771 | + | 0.699508i | ||||
\(288\) | 13.6910 | − | 6.59325i | 0.806751 | − | 0.388511i | ||||
\(289\) | 12.3885 | + | 5.96597i | 0.728733 | + | 0.350939i | ||||
\(290\) | 11.9043 | + | 52.1560i | 0.699042 | + | 3.06270i | ||||
\(291\) | 0.0180701 | + | 0.00870212i | 0.00105929 | + | 0.000510127i | ||||
\(292\) | −20.2474 | + | 25.3894i | −1.18489 | + | 1.48580i | ||||
\(293\) | −12.0941 | −0.706546 | −0.353273 | − | 0.935520i | \(-0.614931\pi\) | ||||
−0.353273 | + | 0.935520i | \(0.614931\pi\) | |||||||
\(294\) | −2.10471 | − | 1.15837i | −0.122749 | − | 0.0675572i | ||||
\(295\) | −0.454866 | −0.0264833 | ||||||||
\(296\) | −6.22075 | + | 7.80057i | −0.361574 | + | 0.453399i | ||||
\(297\) | −3.59836 | − | 1.73288i | −0.208798 | − | 0.100552i | ||||
\(298\) | 3.78758 | + | 16.5945i | 0.219409 | + | 0.961293i | ||||
\(299\) | −5.16808 | − | 2.48882i | −0.298878 | − | 0.143932i | ||||
\(300\) | −6.12049 | + | 2.94747i | −0.353366 | + | 0.170172i | ||||
\(301\) | −0.0139085 | + | 0.511902i | −0.000801671 | + | 0.0295055i | ||||
\(302\) | 42.5689 | + | 20.5001i | 2.44957 | + | 1.17965i | ||||
\(303\) | −1.55045 | − | 1.94421i | −0.0890713 | − | 0.111692i | ||||
\(304\) | 0.0975575 | − | 0.0469812i | 0.00559531 | − | 0.00269456i | ||||
\(305\) | 30.6931 | − | 38.4880i | 1.75748 | − | 2.20381i | ||||
\(306\) | 2.76011 | − | 12.0928i | 0.157785 | − | 0.691301i | ||||
\(307\) | −7.71206 | + | 9.67062i | −0.440150 | + | 0.551931i | −0.951583 | − | 0.307392i | \(-0.900544\pi\) |
0.511432 | + | 0.859324i | \(0.329115\pi\) | |||||||
\(308\) | −31.7219 | + | 23.9172i | −1.80752 | + | 1.36281i | ||||
\(309\) | 0.532070 | + | 0.667195i | 0.0302684 | + | 0.0379554i | ||||
\(310\) | 62.4751 | − | 30.0864i | 3.54835 | − | 1.70880i | ||||
\(311\) | 3.79934 | − | 16.6460i | 0.215441 | − | 0.943907i | −0.745359 | − | 0.666663i | \(-0.767722\pi\) |
0.960800 | − | 0.277244i | \(-0.0894210\pi\) | |||||||
\(312\) | −0.459363 | −0.0260063 | ||||||||
\(313\) | −16.6628 | −0.941835 | −0.470918 | − | 0.882177i | \(-0.656077\pi\) | ||||
−0.470918 | + | 0.882177i | \(0.656077\pi\) | |||||||
\(314\) | −12.0204 | + | 52.6646i | −0.678348 | + | 2.97204i | ||||
\(315\) | −32.9977 | − | 8.48066i | −1.85921 | − | 0.477831i | ||||
\(316\) | −3.09002 | − | 13.5383i | −0.173827 | − | 0.761587i | ||||
\(317\) | 6.04908 | + | 26.5028i | 0.339750 | + | 1.48854i | 0.799593 | + | 0.600543i | \(0.205049\pi\) |
−0.459842 | + | 0.888001i | \(0.652094\pi\) | |||||||
\(318\) | −1.36491 | − | 1.71155i | −0.0765405 | − | 0.0959787i | ||||
\(319\) | −15.0157 | − | 18.8291i | −0.840718 | − | 1.05423i | ||||
\(320\) | 12.2462 | + | 53.6543i | 0.684586 | + | 2.99937i | ||||
\(321\) | 0.239518 | + | 1.04940i | 0.0133686 | + | 0.0585716i | ||||
\(322\) | −27.9988 | + | 21.1101i | −1.56031 | + | 1.17642i | ||||
\(323\) | −0.0927353 | + | 0.406300i | −0.00515993 | + | 0.0226071i | ||||
\(324\) | 29.3848 | 1.63249 | ||||||||
\(325\) | 13.6990 | 0.759882 | ||||||||
\(326\) | 0.853793 | − | 3.74071i | 0.0472872 | − | 0.207179i | ||||
\(327\) | −0.345313 | + | 0.166294i | −0.0190958 | + | 0.00919607i | ||||
\(328\) | 14.3454 | + | 17.9886i | 0.792092 | + | 0.993252i | ||||
\(329\) | 7.59628 | + | 16.9357i | 0.418797 | + | 0.933698i | ||||
\(330\) | 4.16188 | − | 5.21884i | 0.229104 | − | 0.287288i | ||||
\(331\) | −6.16957 | + | 27.0306i | −0.339110 | + | 1.48574i | 0.461816 | + | 0.886975i | \(0.347198\pi\) |
−0.800927 | + | 0.598763i | \(0.795659\pi\) | |||||||
\(332\) | 3.51055 | − | 4.40209i | 0.192666 | − | 0.241596i | ||||
\(333\) | 8.65616 | − | 4.16859i | 0.474355 | − | 0.228437i | ||||
\(334\) | −0.707058 | − | 0.886623i | −0.0386885 | − | 0.0485139i | ||||
\(335\) | −7.84206 | − | 3.77654i | −0.428458 | − | 0.206334i | ||||
\(336\) | −0.0843431 | + | 0.163617i | −0.00460129 | + | 0.00892606i | ||||
\(337\) | 1.96743 | − | 0.947463i | 0.107173 | − | 0.0516116i | −0.379529 | − | 0.925180i | \(-0.623914\pi\) |
0.486702 | + | 0.873568i | \(0.338200\pi\) | |||||||
\(338\) | 2.08170 | + | 1.00249i | 0.113229 | + | 0.0545284i | ||||
\(339\) | −0.467443 | − | 2.04800i | −0.0253880 | − | 0.111232i | ||||
\(340\) | 23.4475 | + | 11.2917i | 1.27162 | + | 0.612379i | ||||
\(341\) | −19.4631 | + | 24.4059i | −1.05399 | + | 1.32166i | ||||
\(342\) | −1.59062 | −0.0860107 | ||||||||
\(343\) | 18.3315 | − | 2.63771i | 0.989806 | − | 0.142423i | ||||
\(344\) | 0.598565 | 0.0322725 | ||||||||
\(345\) | 2.29721 | − | 2.88061i | 0.123677 | − | 0.155087i | ||||
\(346\) | −30.4490 | − | 14.6635i | −1.63695 | − | 0.788313i | ||||
\(347\) | −5.91661 | − | 25.9224i | −0.317620 | − | 1.39159i | −0.841713 | − | 0.539925i | \(-0.818453\pi\) |
0.524093 | − | 0.851661i | \(-0.324405\pi\) | |||||||
\(348\) | −2.39229 | − | 1.15206i | −0.128240 | − | 0.0617572i | ||||
\(349\) | −13.6211 | + | 6.55959i | −0.729122 | + | 0.351127i | −0.761339 | − | 0.648354i | \(-0.775458\pi\) |
0.0322168 | + | 0.999481i | \(0.489743\pi\) | |||||||
\(350\) | 38.3702 | − | 74.4345i | 2.05097 | − | 3.97869i | ||||
\(351\) | 0.800025 | + | 0.385272i | 0.0427022 | + | 0.0205643i | ||||
\(352\) | −14.3101 | − | 17.9443i | −0.762729 | − | 0.956432i | ||||
\(353\) | 18.8514 | − | 9.07834i | 1.00336 | − | 0.483191i | 0.141280 | − | 0.989970i | \(-0.454878\pi\) |
0.862076 | + | 0.506779i | \(0.169164\pi\) | |||||||
\(354\) | 0.0225089 | − | 0.0282253i | 0.00119633 | − | 0.00150016i | ||||
\(355\) | −3.54303 | + | 15.5230i | −0.188044 | + | 0.823876i | ||||
\(356\) | −10.9319 | + | 13.7082i | −0.579391 | + | 0.726533i | ||||
\(357\) | −0.289945 | − | 0.646426i | −0.0153455 | − | 0.0342125i | ||||
\(358\) | −31.3549 | − | 39.3177i | −1.65716 | − | 2.07801i | ||||
\(359\) | 22.6490 | − | 10.9072i | 1.19537 | − | 0.575660i | 0.273018 | − | 0.962009i | \(-0.411978\pi\) |
0.922353 | + | 0.386349i | \(0.126264\pi\) | |||||||
\(360\) | −8.86152 | + | 38.8248i | −0.467043 | + | 2.04625i | ||||
\(361\) | −18.9466 | −0.997187 | ||||||||
\(362\) | −32.8001 | −1.72393 | ||||||||
\(363\) | −0.305092 | + | 1.33670i | −0.0160132 | + | 0.0701583i | ||||
\(364\) | 7.05274 | − | 5.31753i | 0.369664 | − | 0.278714i | ||||
\(365\) | 9.35993 | + | 41.0085i | 0.489921 | + | 2.14648i | ||||
\(366\) | 0.869409 | + | 3.80913i | 0.0454448 | + | 0.199106i | ||||
\(367\) | 8.45549 | + | 10.6028i | 0.441373 | + | 0.553464i | 0.951905 | − | 0.306395i | \(-0.0991228\pi\) |
−0.510532 | + | 0.859859i | \(0.670551\pi\) | |||||||
\(368\) | 1.67516 | + | 2.10059i | 0.0873240 | + | 0.109501i | ||||
\(369\) | −4.93011 | − | 21.6002i | −0.256651 | − | 1.12446i | ||||
\(370\) | 7.17278 | + | 31.4260i | 0.372895 | + | 1.63376i | ||||
\(371\) | 16.3450 | + | 4.20078i | 0.848590 | + | 0.218094i | ||||
\(372\) | −0.765844 | + | 3.35538i | −0.0397072 | + | 0.173968i | ||||
\(373\) | −22.9102 | −1.18624 | −0.593122 | − | 0.805113i | \(-0.702105\pi\) | ||||
−0.593122 | + | 0.805113i | \(0.702105\pi\) | |||||||
\(374\) | −18.7345 | −0.968736 | ||||||||
\(375\) | −1.24334 | + | 5.44742i | −0.0642057 | + | 0.281304i | ||||
\(376\) | 19.5471 | − | 9.41340i | 1.00807 | − | 0.485459i | ||||
\(377\) | 3.33845 | + | 4.18628i | 0.171939 | + | 0.215604i | ||||
\(378\) | 4.33424 | − | 3.26787i | 0.222929 | − | 0.168081i | ||||
\(379\) | −8.94428 | + | 11.2158i | −0.459437 | + | 0.576116i | −0.956549 | − | 0.291570i | \(-0.905822\pi\) |
0.497112 | + | 0.867686i | \(0.334394\pi\) | |||||||
\(380\) | 0.742622 | − | 3.25364i | 0.0380957 | − | 0.166908i | ||||
\(381\) | −1.89975 | + | 2.38221i | −0.0973272 | + | 0.122044i | ||||
\(382\) | 24.8725 | − | 11.9780i | 1.27259 | − | 0.612847i | ||||
\(383\) | 13.0019 | + | 16.3039i | 0.664368 | + | 0.833091i | 0.993811 | − | 0.111084i | \(-0.0354323\pi\) |
−0.329443 | + | 0.944176i | \(0.606861\pi\) | |||||||
\(384\) | −2.56953 | − | 1.23742i | −0.131126 | − | 0.0631469i | ||||
\(385\) | −1.39763 | + | 51.4398i | −0.0712297 | + | 2.62161i | ||||
\(386\) | −25.1728 | + | 12.1226i | −1.28126 | + | 0.617023i | ||||
\(387\) | −0.519306 | − | 0.250085i | −0.0263978 | − | 0.0127125i | ||||
\(388\) | 0.100306 | + | 0.439469i | 0.00509226 | + | 0.0223106i | ||||
\(389\) | −11.7492 | − | 5.65811i | −0.595708 | − | 0.286878i | 0.111634 | − | 0.993749i | \(-0.464392\pi\) |
−0.707342 | + | 0.706872i | \(0.750106\pi\) | |||||||
\(390\) | −0.925313 | + | 1.16031i | −0.0468550 | + | 0.0587543i | ||||
\(391\) | −10.3407 | −0.522953 | ||||||||
\(392\) | −3.66395 | − | 21.3353i | −0.185057 | − | 1.07760i | ||||
\(393\) | −1.35474 | −0.0683374 | ||||||||
\(394\) | 6.22980 | − | 7.81192i | 0.313853 | − | 0.393559i | ||||
\(395\) | −16.2055 | − | 7.80417i | −0.815388 | − | 0.392670i | ||||
\(396\) | −9.95025 | − | 43.5949i | −0.500019 | − | 2.19072i | ||||
\(397\) | −2.56410 | − | 1.23481i | −0.128689 | − | 0.0619732i | 0.368432 | − | 0.929655i | \(-0.379895\pi\) |
−0.497120 | + | 0.867682i | \(0.665609\pi\) | |||||||
\(398\) | 4.19627 | − | 2.02082i | 0.210340 | − | 0.101294i | ||||
\(399\) | −0.0725431 | + | 0.0546951i | −0.00363170 | + | 0.00273818i | ||||
\(400\) | −5.78104 | − | 2.78400i | −0.289052 | − | 0.139200i | ||||
\(401\) | −2.11956 | − | 2.65784i | −0.105846 | − | 0.132726i | 0.726087 | − | 0.687603i | \(-0.241337\pi\) |
−0.831933 | + | 0.554877i | \(0.812765\pi\) | |||||||
\(402\) | 0.622404 | − | 0.299734i | 0.0310427 | − | 0.0149494i | ||||
\(403\) | 4.32723 | − | 5.42618i | 0.215555 | − | 0.270297i | ||||
\(404\) | 12.4367 | − | 54.4886i | 0.618747 | − | 2.71091i | ||||
\(405\) | 23.7309 | − | 29.7577i | 1.17920 | − | 1.47867i | ||||
\(406\) | 32.0973 | − | 6.41414i | 1.59296 | − | 0.318329i | ||||
\(407\) | −9.04755 | − | 11.3453i | −0.448470 | − | 0.562364i | ||||
\(408\) | −0.746100 | + | 0.359303i | −0.0369375 | + | 0.0177881i | ||||
\(409\) | −2.45318 | + | 10.7481i | −0.121302 | + | 0.531459i | 0.877364 | + | 0.479825i | \(0.159300\pi\) |
−0.998666 | + | 0.0516338i | \(0.983557\pi\) | |||||||
\(410\) | 74.3339 | 3.67109 | ||||||||
\(411\) | 2.75734 | 0.136010 | ||||||||
\(412\) | −4.26790 | + | 18.6989i | −0.210264 | + | 0.921228i | ||||
\(413\) | −0.00755885 | + | 0.278204i | −0.000371946 | + | 0.0136895i | ||||
\(414\) | −8.78241 | − | 38.4783i | −0.431632 | − | 1.89110i | ||||
\(415\) | −1.62285 | − | 7.11018i | −0.0796627 | − | 0.349025i | ||||
\(416\) | 3.18156 | + | 3.98955i | 0.155989 | + | 0.195604i | ||||
\(417\) | −1.67937 | − | 2.10587i | −0.0822392 | − | 0.103125i | ||||
\(418\) | 0.534592 | + | 2.34220i | 0.0261478 | + | 0.114561i | ||||
\(419\) | −3.08410 | − | 13.5123i | −0.150668 | − | 0.660120i | −0.992692 | − | 0.120679i | \(-0.961493\pi\) |
0.842023 | − | 0.539441i | \(-0.181364\pi\) | |||||||
\(420\) | 2.32187 | + | 5.17656i | 0.113296 | + | 0.252590i | ||||
\(421\) | −3.91778 | + | 17.1649i | −0.190941 | + | 0.836567i | 0.785168 | + | 0.619283i | \(0.212577\pi\) |
−0.976109 | + | 0.217283i | \(0.930280\pi\) | |||||||
\(422\) | −24.3376 | −1.18473 | ||||||||
\(423\) | −20.8918 | −1.01579 | ||||||||
\(424\) | 4.38944 | − | 19.2314i | 0.213170 | − | 0.933959i | ||||
\(425\) | 22.2500 | − | 10.7150i | 1.07928 | − | 0.519755i | ||||
\(426\) | −0.787906 | − | 0.988003i | −0.0381742 | − | 0.0478689i | ||||
\(427\) | −23.0299 | − | 19.4120i | −1.11449 | − | 0.939414i | ||||
\(428\) | −15.0834 | + | 18.9140i | −0.729085 | + | 0.914244i | ||||
\(429\) | 0.148667 | − | 0.651353i | 0.00717772 | − | 0.0314476i | ||||
\(430\) | 1.20571 | − | 1.51192i | 0.0581447 | − | 0.0729111i | ||||
\(431\) | 10.4849 | − | 5.04927i | 0.505041 | − | 0.243215i | −0.163973 | − | 0.986465i | \(-0.552431\pi\) |
0.669014 | + | 0.743250i | \(0.266717\pi\) | |||||||
\(432\) | −0.259317 | − | 0.325174i | −0.0124764 | − | 0.0156449i | ||||
\(433\) | −17.0152 | − | 8.19410i | −0.817699 | − | 0.393783i | −0.0222118 | − | 0.999753i | \(-0.507071\pi\) |
−0.795487 | + | 0.605970i | \(0.792785\pi\) | |||||||
\(434\) | −17.3632 | − | 38.7109i | −0.833461 | − | 1.85818i | ||||
\(435\) | −3.09867 | + | 1.49224i | −0.148570 | + | 0.0715476i | ||||
\(436\) | −7.76097 | − | 3.73749i | −0.371683 | − | 0.178993i | ||||
\(437\) | 0.295075 | + | 1.29281i | 0.0141154 | + | 0.0618434i | ||||
\(438\) | −3.00783 | − | 1.44849i | −0.143720 | − | 0.0692117i | ||||
\(439\) | 5.98661 | − | 7.50697i | 0.285725 | − | 0.358288i | −0.618168 | − | 0.786046i | \(-0.712125\pi\) |
0.903893 | + | 0.427758i | \(0.140696\pi\) | |||||||
\(440\) | 60.1483 | 2.86746 | ||||||||
\(441\) | −5.73527 | + | 20.0411i | −0.273108 | + | 0.954336i | ||||
\(442\) | 4.16524 | 0.198120 | ||||||||
\(443\) | 12.9880 | − | 16.2864i | 0.617077 | − | 0.773791i | −0.370853 | − | 0.928692i | \(-0.620934\pi\) |
0.987930 | + | 0.154901i | \(0.0495059\pi\) | |||||||
\(444\) | −1.44145 | − | 0.694164i | −0.0684080 | − | 0.0329436i | ||||
\(445\) | 5.05360 | + | 22.1413i | 0.239564 | + | 1.04960i | ||||
\(446\) | −19.0351 | − | 9.16681i | −0.901337 | − | 0.434061i | ||||
\(447\) | −0.985906 | + | 0.474787i | −0.0466318 | + | 0.0224567i | ||||
\(448\) | 33.0194 | − | 6.59840i | 1.56002 | − | 0.311745i | ||||
\(449\) | 7.92320 | + | 3.81561i | 0.373919 | + | 0.180070i | 0.611399 | − | 0.791323i | \(-0.290607\pi\) |
−0.237480 | + | 0.971392i | \(0.576321\pi\) | |||||||
\(450\) | 58.7679 | + | 73.6926i | 2.77035 | + | 3.47390i | ||||
\(451\) | −30.1496 | + | 14.5193i | −1.41969 | + | 0.683686i | ||||
\(452\) | 29.4368 | − | 36.9126i | 1.38459 | − | 1.73622i | ||||
\(453\) | −0.675909 | + | 2.96135i | −0.0317570 | + | 0.139136i | ||||
\(454\) | −34.3221 | + | 43.0385i | −1.61082 | + | 2.01990i | ||||
\(455\) | 0.310735 | − | 11.4366i | 0.0145675 | − | 0.536157i | ||||
\(456\) | 0.0662105 | + | 0.0830254i | 0.00310059 | + | 0.00388802i | ||||
\(457\) | 14.5018 | − | 6.98372i | 0.678367 | − | 0.326684i | −0.0627796 | − | 0.998027i | \(-0.519997\pi\) |
0.741147 | + | 0.671343i | \(0.234282\pi\) | |||||||
\(458\) | −0.866874 | + | 3.79802i | −0.0405064 | + | 0.177470i | ||||
\(459\) | 1.60076 | 0.0747170 | ||||||||
\(460\) | 82.8084 | 3.86096 | ||||||||
\(461\) | 4.88288 | − | 21.3933i | 0.227418 | − | 0.996384i | −0.724318 | − | 0.689466i | \(-0.757845\pi\) |
0.951736 | − | 0.306918i | \(-0.0992977\pi\) | |||||||
\(462\) | −3.12277 | − | 2.63221i | −0.145285 | − | 0.122461i | ||||
\(463\) | −0.618720 | − | 2.71079i | −0.0287544 | − | 0.125981i | 0.958514 | − | 0.285047i | \(-0.0920091\pi\) |
−0.987268 | + | 0.159065i | \(0.949152\pi\) | |||||||
\(464\) | −0.558077 | − | 2.44510i | −0.0259081 | − | 0.113511i | ||||
\(465\) | 2.77947 | + | 3.48534i | 0.128895 | + | 0.161629i | ||||
\(466\) | −26.8991 | − | 33.7304i | −1.24608 | − | 1.56253i | ||||
\(467\) | 4.88680 | + | 21.4105i | 0.226134 | + | 0.990759i | 0.952760 | + | 0.303725i | \(0.0982304\pi\) |
−0.726625 | + | 0.687034i | \(0.758912\pi\) | |||||||
\(468\) | 2.21224 | + | 9.69246i | 0.102261 | + | 0.448034i | ||||
\(469\) | −2.44012 | + | 4.73359i | −0.112674 | + | 0.218577i | ||||
\(470\) | 15.5972 | − | 68.3359i | 0.719447 | − | 3.15210i | ||||
\(471\) | −3.47281 | −0.160019 | ||||||||
\(472\) | 0.325303 | 0.0149733 | ||||||||
\(473\) | −0.193718 | + | 0.848735i | −0.00890717 | + | 0.0390249i | ||||
\(474\) | 1.28619 | − | 0.619396i | 0.0590766 | − | 0.0284498i | ||||
\(475\) | −1.97451 | − | 2.47596i | −0.0905967 | − | 0.113605i | ||||
\(476\) | 7.29586 | − | 14.1533i | 0.334405 | − | 0.648714i | ||||
\(477\) | −11.8432 | + | 14.8509i | −0.542264 | + | 0.679977i | ||||
\(478\) | −8.39987 | + | 36.8022i | −0.384201 | + | 1.68330i | ||||
\(479\) | −3.28547 | + | 4.11985i | −0.150117 | + | 0.188241i | −0.851204 | − | 0.524835i | \(-0.824127\pi\) |
0.701087 | + | 0.713076i | \(0.252698\pi\) | |||||||
\(480\) | −2.95306 | + | 1.42212i | −0.134788 | + | 0.0649105i | ||||
\(481\) | 2.01154 | + | 2.52240i | 0.0917185 | + | 0.115011i | ||||
\(482\) | 37.4398 | + | 18.0301i | 1.70534 | + | 0.821247i | ||||
\(483\) | −1.72366 | − | 1.45288i | −0.0784290 | − | 0.0661084i | ||||
\(484\) | −27.7634 | + | 13.3702i | −1.26197 | + | 0.607735i | ||||
\(485\) | 0.526051 | + | 0.253333i | 0.0238867 | + | 0.0115032i | ||||
\(486\) | 2.04180 | + | 8.94571i | 0.0926179 | + | 0.405786i | ||||
\(487\) | −19.5125 | − | 9.39671i | −0.884195 | − | 0.425806i | −0.0640399 | − | 0.997947i | \(-0.520399\pi\) |
−0.820155 | + | 0.572142i | \(0.806113\pi\) | |||||||
\(488\) | −21.9506 | + | 27.5251i | −0.993655 | + | 1.24600i | ||||
\(489\) | 0.246670 | 0.0111548 | ||||||||
\(490\) | −61.2715 | − | 33.7219i | −2.76796 | − | 1.52340i | ||||
\(491\) | 30.9267 | 1.39570 | 0.697850 | − | 0.716244i | \(-0.254140\pi\) | ||||
0.697850 | + | 0.716244i | \(0.254140\pi\) | |||||||
\(492\) | −2.30032 | + | 2.88451i | −0.103706 | + | 0.130044i | ||||
\(493\) | 8.69674 | + | 4.18813i | 0.391682 | + | 0.188624i | ||||
\(494\) | −0.118856 | − | 0.520742i | −0.00534758 | − | 0.0234293i | ||||
\(495\) | −52.1838 | − | 25.1304i | −2.34549 | − | 1.12953i | ||||
\(496\) | −2.92886 | + | 1.41047i | −0.131510 | + | 0.0633318i | ||||
\(497\) | 9.43527 | + | 2.42494i | 0.423230 | + | 0.108773i | ||||
\(498\) | 0.521507 | + | 0.251144i | 0.0233693 | + | 0.0112540i | ||||
\(499\) | 2.31174 | + | 2.89883i | 0.103488 | + | 0.129769i | 0.830878 | − | 0.556454i | \(-0.187839\pi\) |
−0.727391 | + | 0.686224i | \(0.759267\pi\) | |||||||
\(500\) | −113.144 | + | 54.4873i | −5.05996 | + | 2.43675i | ||||
\(501\) | 0.0454558 | − | 0.0569998i | 0.00203082 | − | 0.00254656i | ||||
\(502\) | −11.3339 | + | 49.6570i | −0.505857 | + | 2.21630i | ||||
\(503\) | 22.5903 | − | 28.3273i | 1.00725 | − | 1.26305i | 0.0427186 | − | 0.999087i | \(-0.486398\pi\) |
0.964532 | − | 0.263965i | \(-0.0850305\pi\) | |||||||
\(504\) | 23.5987 | + | 6.06504i | 1.05117 | + | 0.270158i | ||||
\(505\) | −45.1362 | − | 56.5990i | −2.00854 | − | 2.51862i | ||||
\(506\) | −53.7080 | + | 25.8644i | −2.38761 | + | 1.14981i | ||||
\(507\) | −0.0330532 | + | 0.144815i | −0.00146794 | + | 0.00643148i | ||||
\(508\) | −68.4811 | −3.03836 | ||||||||
\(509\) | 31.0133 | 1.37464 | 0.687319 | − | 0.726356i | \(-0.258787\pi\) | ||||
0.687319 | + | 0.726356i | \(0.258787\pi\) | |||||||
\(510\) | −0.595336 | + | 2.60834i | −0.0263619 | + | 0.115499i | ||||
\(511\) | 25.2371 | − | 5.04323i | 1.11642 | − | 0.223099i | ||||
\(512\) | −1.17650 | − | 5.15458i | −0.0519944 | − | 0.227802i | ||||
\(513\) | −0.0456780 | − | 0.200128i | −0.00201673 | − | 0.00883588i | ||||
\(514\) | 0.468700 | + | 0.587731i | 0.0206735 | + | 0.0259237i | ||||
\(515\) | 15.4894 | + | 19.4231i | 0.682545 | + | 0.855885i | ||||
\(516\) | 0.0213579 | + | 0.0935749i | 0.000940227 | + | 0.00411940i | ||||
\(517\) | 7.02154 | + | 30.7634i | 0.308807 | + | 1.35297i | ||||
\(518\) | 19.3399 | − | 3.86477i | 0.849747 | − | 0.169808i | ||||
\(519\) | 0.483469 | − | 2.11822i | 0.0212220 | − | 0.0929794i | ||||
\(520\) | −13.3728 | −0.586435 | ||||||||
\(521\) | 35.1386 | 1.53945 | 0.769725 | − | 0.638375i | \(-0.220393\pi\) | ||||
0.769725 | + | 0.638375i | \(0.220393\pi\) | |||||||
\(522\) | −8.19802 | + | 35.9179i | −0.358818 | + | 1.57208i | ||||
\(523\) | −19.0156 | + | 9.15744i | −0.831495 | + | 0.400427i | −0.800676 | − | 0.599098i | \(-0.795526\pi\) |
−0.0308191 | + | 0.999525i | \(0.509812\pi\) | |||||||
\(524\) | −18.9840 | − | 23.8052i | −0.829320 | − | 1.03993i | ||||
\(525\) | 5.21422 | + | 1.34009i | 0.227567 | + | 0.0584865i | ||||
\(526\) | 18.1173 | − | 22.7184i | 0.789952 | − | 0.990568i | ||||
\(527\) | 2.78409 | − | 12.1979i | 0.121277 | − | 0.531349i | ||||
\(528\) | −0.195111 | + | 0.244662i | −0.00849112 | + | 0.0106475i | ||||
\(529\) | −8.92255 | + | 4.29687i | −0.387937 | + | 0.186821i | ||||
\(530\) | −39.7348 | − | 49.8259i | −1.72597 | − | 2.16430i | ||||
\(531\) | −0.282228 | − | 0.135914i | −0.0122476 | − | 0.00589815i | ||||
\(532\) | −1.97764 | − | 0.508269i | −0.0857417 | − | 0.0220363i | ||||
\(533\) | 6.70317 | − | 3.22808i | 0.290346 | − | 0.139823i | ||||
\(534\) | −1.62398 | − | 0.782069i | −0.0702766 | − | 0.0338434i | ||||
\(535\) | 6.97276 | + | 30.5496i | 0.301459 | + | 1.32078i | ||||
\(536\) | 5.60834 | + | 2.70084i | 0.242244 | + | 0.116658i | ||||
\(537\) | 2.01576 | − | 2.52769i | 0.0869865 | − | 0.109078i | ||||
\(538\) | −28.6547 | −1.23539 | ||||||||
\(539\) | 31.4382 | + | 1.70963i | 1.35414 | + | 0.0736389i | ||||
\(540\) | −12.8188 | −0.551635 | ||||||||
\(541\) | 20.2115 | − | 25.3444i | 0.868958 | − | 1.08964i | −0.126263 | − | 0.991997i | \(-0.540298\pi\) |
0.995222 | − | 0.0976426i | \(-0.0311302\pi\) | |||||||
\(542\) | −23.0670 | − | 11.1085i | −0.990814 | − | 0.477151i | ||||
\(543\) | −0.469224 | − | 2.05581i | −0.0201363 | − | 0.0882231i | ||||
\(544\) | 8.28805 | + | 3.99131i | 0.355347 | + | 0.171126i | ||||
\(545\) | −10.0526 | + | 4.84108i | −0.430606 | + | 0.207369i | ||||
\(546\) | 0.694287 | + | 0.585219i | 0.0297127 | + | 0.0250451i | ||||
\(547\) | −10.7021 | − | 5.15384i | −0.457587 | − | 0.220362i | 0.190867 | − | 0.981616i | \(-0.438870\pi\) |
−0.648454 | + | 0.761253i | \(0.724584\pi\) | |||||||
\(548\) | 38.6388 | + | 48.4515i | 1.65057 | + | 2.06975i | ||||
\(549\) | 30.5442 | − | 14.7093i | 1.30359 | − | 0.627777i | ||||
\(550\) | 88.7619 | − | 111.304i | 3.78482 | − | 4.74601i | ||||
\(551\) | 0.275441 | − | 1.20678i | 0.0117342 | − | 0.0514107i | ||||
\(552\) | −1.64287 | + | 2.06010i | −0.0699254 | + | 0.0876837i | ||||
\(553\) | −5.04247 | + | 9.78190i | −0.214427 | + | 0.415969i | ||||
\(554\) | 41.3842 | + | 51.8942i | 1.75825 | + | 2.20477i | ||||
\(555\) | −1.86707 | + | 0.899135i | −0.0792528 | + | 0.0381661i | ||||
\(556\) | 13.4708 | − | 59.0192i | 0.571287 | − | 2.50297i | ||||
\(557\) | 20.9659 | 0.888355 | 0.444177 | − | 0.895939i | \(-0.353496\pi\) | ||||
0.444177 | + | 0.895939i | \(0.353496\pi\) | |||||||
\(558\) | 47.7534 | 2.02156 | ||||||||
\(559\) | 0.0430694 | − | 0.188699i | 0.00182164 | − | 0.00798114i | ||||
\(560\) | −2.45536 | + | 4.76317i | −0.103758 | + | 0.201281i | ||||
\(561\) | −0.268007 | − | 1.17422i | −0.0113153 | − | 0.0495755i | ||||
\(562\) | −13.7867 | − | 60.4037i | −0.581559 | − | 2.54797i | ||||
\(563\) | 2.36513 | + | 2.96578i | 0.0996785 | + | 0.124993i | 0.829169 | − | 0.558998i | \(-0.188814\pi\) |
−0.729490 | + | 0.683991i | \(0.760243\pi\) | |||||||
\(564\) | 2.16909 | + | 2.71995i | 0.0913352 | + | 0.114531i | ||||
\(565\) | −13.6080 | − | 59.6207i | −0.572494 | − | 2.50826i | ||||
\(566\) | 5.80600 | + | 25.4377i | 0.244044 | + | 1.06923i | ||||
\(567\) | −17.8060 | − | 15.0088i | −0.747780 | − | 0.630309i | ||||
\(568\) | 2.53384 | − | 11.1015i | 0.106317 | − | 0.465807i | ||||
\(569\) | 32.1669 | 1.34851 | 0.674253 | − | 0.738501i | \(-0.264466\pi\) | ||||
0.674253 | + | 0.738501i | \(0.264466\pi\) | |||||||
\(570\) | 0.343085 | 0.0143702 | ||||||||
\(571\) | −5.83711 | + | 25.5741i | −0.244276 | + | 1.07024i | 0.692804 | + | 0.721126i | \(0.256375\pi\) |
−0.937080 | + | 0.349116i | \(0.886482\pi\) | |||||||
\(572\) | 13.5287 | − | 6.51510i | 0.565665 | − | 0.272410i | ||||
\(573\) | 1.10656 | + | 1.38758i | 0.0462271 | + | 0.0579670i | ||||
\(574\) | 1.23526 | − | 45.4639i | 0.0515589 | − | 1.89763i | ||||
\(575\) | 48.9933 | − | 61.4356i | 2.04316 | − | 2.56204i | ||||
\(576\) | −8.43353 | + | 36.9497i | −0.351397 | + | 1.53957i | ||||
\(577\) | 16.0894 | − | 20.1755i | 0.669810 | − | 0.839916i | −0.324561 | − | 0.945865i | \(-0.605217\pi\) |
0.994372 | + | 0.105949i | \(0.0337880\pi\) | |||||||
\(578\) | −28.6237 | + | 13.7844i | −1.19059 | + | 0.573357i | ||||
\(579\) | −1.11992 | − | 1.40433i | −0.0465421 | − | 0.0583620i | ||||
\(580\) | −69.6433 | − | 33.5385i | −2.89178 | − | 1.39261i | ||||
\(581\) | −4.37568 | + | 0.874410i | −0.181534 | + | 0.0362767i | ||||
\(582\) | −0.0417512 | + | 0.0201063i | −0.00173064 | + | 0.000833435i | ||||
\(583\) | 25.8486 | + | 12.4480i | 1.07054 | + | 0.515544i | ||||
\(584\) | −6.69386 | − | 29.3277i | −0.276994 | − | 1.21359i | ||||
\(585\) | 11.6020 | + | 5.58724i | 0.479685 | + | 0.231004i | ||||
\(586\) | 17.4225 | − | 21.8472i | 0.719718 | − | 0.902498i | ||||
\(587\) | −32.9662 | −1.36066 | −0.680329 | − | 0.732906i | \(-0.738163\pi\) | ||||
−0.680329 | + | 0.732906i | \(0.738163\pi\) | |||||||
\(588\) | 3.20466 | − | 1.33408i | 0.132158 | − | 0.0550163i | ||||
\(589\) | −1.60444 | −0.0661097 | ||||||||
\(590\) | 0.655270 | − | 0.821683i | 0.0269770 | − | 0.0338281i | ||||
\(591\) | 0.578747 | + | 0.278710i | 0.0238065 | + | 0.0114646i | ||||
\(592\) | −0.336263 | − | 1.47327i | −0.0138203 | − | 0.0605509i | ||||
\(593\) | −21.5343 | − | 10.3704i | −0.884307 | − | 0.425860i | −0.0641110 | − | 0.997943i | \(-0.520421\pi\) |
−0.820196 | + | 0.572083i | \(0.806135\pi\) | |||||||
\(594\) | 8.31406 | − | 4.00384i | 0.341130 | − | 0.164279i | ||||
\(595\) | −8.44076 | − | 18.8185i | −0.346038 | − | 0.771483i | ||||
\(596\) | −22.1584 | − | 10.6709i | −0.907645 | − | 0.437099i | ||||
\(597\) | 0.186688 | + | 0.234100i | 0.00764065 | + | 0.00958107i | ||||
\(598\) | 11.9409 | − | 5.75044i | 0.488300 | − | 0.235153i | ||||
\(599\) | 24.4394 | − | 30.6460i | 0.998565 | − | 1.25216i | 0.0310054 | − | 0.999519i | \(-0.490129\pi\) |
0.967560 | − | 0.252642i | \(-0.0812995\pi\) | |||||||
\(600\) | 1.40028 | − | 6.13501i | 0.0571661 | − | 0.250461i | ||||
\(601\) | −18.8685 | + | 23.6603i | −0.769660 | + | 0.965123i | −0.999968 | − | 0.00799451i | \(-0.997455\pi\) |
0.230308 | + | 0.973118i | \(0.426027\pi\) | |||||||
\(602\) | −0.904679 | − | 0.762560i | −0.0368720 | − | 0.0310796i | ||||
\(603\) | −3.73729 | − | 4.68641i | −0.152194 | − | 0.190845i | ||||
\(604\) | −61.5079 | + | 29.6206i | −2.50272 | + | 1.20525i | ||||
\(605\) | −8.88172 | + | 38.9134i | −0.361093 | + | 1.58205i | ||||
\(606\) | 5.74563 | 0.233400 | ||||||||
\(607\) | 41.4136 | 1.68093 | 0.840463 | − | 0.541869i | \(-0.182283\pi\) | ||||
0.840463 | + | 0.541869i | \(0.182283\pi\) | |||||||
\(608\) | 0.262497 | − | 1.15007i | 0.0106456 | − | 0.0466416i | ||||
\(609\) | 0.861189 | + | 1.92000i | 0.0348971 | + | 0.0778024i | ||||
\(610\) | 25.3099 | + | 110.890i | 1.02477 | + | 4.48980i | ||||
\(611\) | −1.56110 | − | 6.83963i | −0.0631554 | − | 0.276702i | ||||
\(612\) | 11.1744 | + | 14.0122i | 0.451697 | + | 0.566410i | ||||
\(613\) | −9.83314 | − | 12.3304i | −0.397157 | − | 0.498019i | 0.542539 | − | 0.840031i | \(-0.317463\pi\) |
−0.939696 | + | 0.342012i | \(0.888892\pi\) | |||||||
\(614\) | −6.35945 | − | 27.8626i | −0.256647 | − | 1.12444i | ||||
\(615\) | 1.06339 | + | 4.65901i | 0.0428800 | + | 0.187870i | ||||
\(616\) | 0.999530 | − | 36.7878i | 0.0402722 | − | 1.48222i | ||||
\(617\) | −1.44153 | + | 6.31576i | −0.0580339 | + | 0.254263i | −0.995620 | − | 0.0934894i | \(-0.970198\pi\) |
0.937586 | + | 0.347752i | \(0.113055\pi\) | |||||||
\(618\) | −1.97173 | −0.0793146 | ||||||||
\(619\) | −34.3308 | −1.37987 | −0.689937 | − | 0.723870i | \(-0.742362\pi\) | ||||
−0.689937 | + | 0.723870i | \(0.742362\pi\) | |||||||
\(620\) | −22.2949 | + | 97.6805i | −0.895387 | + | 3.92295i | ||||
\(621\) | 4.58905 | − | 2.20997i | 0.184152 | − | 0.0886831i | ||||
\(622\) | 24.5966 | + | 30.8431i | 0.986232 | + | 1.23670i | ||||
\(623\) | 13.6260 | − | 2.72293i | 0.545913 | − | 0.109092i | ||||
\(624\) | 0.0433791 | − | 0.0543957i | 0.00173655 | − | 0.00217757i | ||||
\(625\) | −20.9541 | + | 91.8057i | −0.838162 | + | 3.67223i | ||||
\(626\) | 24.0040 | − | 30.1001i | 0.959394 | − | 1.20304i | ||||
\(627\) | −0.139154 | + | 0.0670131i | −0.00555728 | + | 0.00267624i | ||||
\(628\) | −48.6647 | − | 61.0236i | −1.94193 | − | 2.43511i | ||||
\(629\) | 5.24013 | + | 2.52351i | 0.208938 | + | 0.100619i | ||||
\(630\) | 62.8555 | − | 47.3910i | 2.50422 | − | 1.88810i | ||||
\(631\) | −0.435279 | + | 0.209619i | −0.0173282 | + | 0.00834480i | −0.442528 | − | 0.896755i | \(-0.645918\pi\) |
0.425200 | + | 0.905100i | \(0.360204\pi\) | |||||||
\(632\) | 11.5896 | + | 5.58124i | 0.461008 | + | 0.222010i | ||||
\(633\) | −0.348163 | − | 1.52540i | −0.0138382 | − | 0.0606293i | ||||
\(634\) | −56.5896 | − | 27.2521i | −2.24746 | − | 1.08232i | ||||
\(635\) | −55.3048 | + | 69.3500i | −2.19470 | + | 2.75207i | ||||
\(636\) | 3.16310 | 0.125425 | ||||||||
\(637\) | −6.98967 | − | 0.380102i | −0.276941 | − | 0.0150602i | ||||
\(638\) | 55.6448 | 2.20300 | ||||||||
\(639\) | −6.83659 | + | 8.57281i | −0.270451 | + | 0.339135i | ||||
\(640\) | −74.8032 | − | 36.0233i | −2.95686 | − | 1.42395i | ||||
\(641\) | 6.50878 | + | 28.5168i | 0.257081 | + | 1.12635i | 0.924355 | + | 0.381534i | \(0.124604\pi\) |
−0.667273 | + | 0.744813i | \(0.732539\pi\) | |||||||
\(642\) | −2.24071 | − | 1.07907i | −0.0884337 | − | 0.0425874i | ||||
\(643\) | 28.8405 | − | 13.8888i | 1.13736 | − | 0.547722i | 0.232144 | − | 0.972681i | \(-0.425426\pi\) |
0.905212 | + | 0.424959i | \(0.139712\pi\) | |||||||
\(644\) | 1.37609 | − | 50.6471i | 0.0542255 | − | 1.99577i | ||||
\(645\) | 0.112011 | + | 0.0539415i | 0.00441041 | + | 0.00212394i | ||||
\(646\) | −0.600359 | − | 0.752827i | −0.0236208 | − | 0.0296196i | ||||
\(647\) | −35.7018 | + | 17.1931i | −1.40358 | + | 0.675929i | −0.973884 | − | 0.227044i | \(-0.927094\pi\) |
−0.429697 | + | 0.902973i | \(0.641379\pi\) | |||||||
\(648\) | −16.9715 | + | 21.2815i | −0.666702 | + | 0.836018i | ||||
\(649\) | −0.105280 | + | 0.461263i | −0.00413261 | + | 0.0181061i | ||||
\(650\) | −19.7344 | + | 24.7462i | −0.774049 | + | 0.970626i | ||||
\(651\) | 2.17788 | − | 1.64205i | 0.0853580 | − | 0.0643571i | ||||
\(652\) | 3.45660 | + | 4.33444i | 0.135371 | + | 0.169750i | ||||
\(653\) | 45.7197 | − | 22.0174i | 1.78915 | − | 0.861609i | 0.842973 | − | 0.537955i | \(-0.180803\pi\) |
0.946176 | − | 0.323654i | \(-0.104911\pi\) | |||||||
\(654\) | 0.197052 | − | 0.863343i | 0.00770536 | − | 0.0337594i | ||||
\(655\) | −39.4385 | −1.54099 | ||||||||
\(656\) | −3.48481 | −0.136059 | ||||||||
\(657\) | −6.44583 | + | 28.2410i | −0.251476 | + | 1.10179i | ||||
\(658\) | −41.5363 | − | 10.6751i | −1.61925 | − | 0.416160i | ||||
\(659\) | 6.04005 | + | 26.4632i | 0.235287 | + | 1.03086i | 0.945180 | + | 0.326549i | \(0.105886\pi\) |
−0.709893 | + | 0.704309i | \(0.751257\pi\) | |||||||
\(660\) | 2.14620 | + | 9.40310i | 0.0835406 | + | 0.366015i | ||||
\(661\) | 4.02194 | + | 5.04335i | 0.156435 | + | 0.196164i | 0.853873 | − | 0.520482i | \(-0.174248\pi\) |
−0.697437 | + | 0.716646i | \(0.745676\pi\) | |||||||
\(662\) | −39.9412 | − | 50.0847i | −1.55236 | − | 1.94660i | ||||
\(663\) | 0.0595861 | + | 0.261064i | 0.00231413 | + | 0.0101389i | ||||
\(664\) | 1.16060 | + | 5.08493i | 0.0450401 | + | 0.197334i | ||||
\(665\) | −2.11185 | + | 1.59226i | −0.0818939 | + | 0.0617453i | ||||
\(666\) | −4.93963 | + | 21.6419i | −0.191407 | + | 0.838608i | ||||
\(667\) | 30.7139 | 1.18925 | ||||||||
\(668\) | 1.63857 | 0.0633980 | ||||||||
\(669\) | 0.302239 | − | 1.32420i | 0.0116852 | − | 0.0511963i | ||||
\(670\) | 18.1192 | − | 8.72573i | 0.700005 | − | 0.337104i | ||||
\(671\) | −31.9252 | − | 40.0330i | −1.23246 | − | 1.54546i | ||||
\(672\) | 0.820719 | + | 1.82977i | 0.0316599 | + | 0.0705851i | ||||
\(673\) | −17.8258 | + | 22.3528i | −0.687133 | + | 0.861638i | −0.995989 | − | 0.0894710i | \(-0.971482\pi\) |
0.308856 | + | 0.951109i | \(0.400054\pi\) | |||||||
\(674\) | −1.12271 | + | 4.91891i | −0.0432452 | + | 0.189470i | ||||
\(675\) | −7.58422 | + | 9.51031i | −0.291917 | + | 0.366052i | ||||
\(676\) | −3.00785 | + | 1.44850i | −0.115686 | + | 0.0557117i | ||||
\(677\) | 7.34557 | + | 9.21105i | 0.282313 | + | 0.354010i | 0.902688 | − | 0.430296i | \(-0.141591\pi\) |
−0.620375 | + | 0.784306i | \(0.713019\pi\) | |||||||
\(678\) | 4.37296 | + | 2.10591i | 0.167943 | + | 0.0808769i | ||||
\(679\) | 0.163685 | − | 0.317532i | 0.00628164 | − | 0.0121858i | ||||
\(680\) | −21.7202 | + | 10.4599i | −0.832931 | + | 0.401118i | ||||
\(681\) | −3.18852 | − | 1.53551i | −0.122184 | − | 0.0588408i | ||||
\(682\) | −16.0495 | − | 70.3174i | −0.614567 | − | 2.69259i | ||||
\(683\) | 10.8726 | + | 5.23595i | 0.416027 | + | 0.200348i | 0.630175 | − | 0.776453i | \(-0.282983\pi\) |
−0.214148 | + | 0.976801i | \(0.568697\pi\) | |||||||
\(684\) | 1.43296 | − | 1.79687i | 0.0547905 | − | 0.0687051i | ||||
\(685\) | 80.2707 | 3.06698 | ||||||||
\(686\) | −21.6431 | + | 36.9143i | −0.826337 | + | 1.40940i | ||||
\(687\) | −0.250449 | −0.00955523 | ||||||||
\(688\) | −0.0565244 | + | 0.0708794i | −0.00215497 | + | 0.00270225i | ||||
\(689\) | −5.74692 | − | 2.76757i | −0.218940 | − | 0.105436i | ||||
\(690\) | 1.89430 | + | 8.29949i | 0.0721149 | + | 0.315956i | ||||
\(691\) | −21.1965 | − | 10.2077i | −0.806353 | − | 0.388319i | −0.0151593 | − | 0.999885i | \(-0.504826\pi\) |
−0.791193 | + | 0.611566i | \(0.790540\pi\) | |||||||
\(692\) | 43.9958 | − | 21.1873i | 1.67247 | − | 0.805419i | ||||
\(693\) | −16.2374 | + | 31.4989i | −0.616806 | + | 1.19654i | ||||
\(694\) | 55.3503 | + | 26.6553i | 2.10107 | + | 1.01182i | ||||
\(695\) | −48.8892 | − | 61.3051i | −1.85447 | − | 2.32544i | ||||
\(696\) | 2.21605 | − | 1.06720i | 0.0839993 | − | 0.0404519i | ||||
\(697\) | 8.36241 | − | 10.4861i | 0.316749 | − | 0.397191i | ||||
\(698\) | 7.77288 | − | 34.0552i | 0.294208 | − | 1.28901i | ||||
\(699\) | 1.72931 | − | 2.16849i | 0.0654085 | − | 0.0820196i | ||||
\(700\) | 49.5193 | + | 110.402i | 1.87165 | + | 4.17281i | ||||
\(701\) | 23.9703 | + | 30.0579i | 0.905348 | + | 1.13527i | 0.990308 | + | 0.138886i | \(0.0443521\pi\) |
−0.0849608 | + | 0.996384i | \(0.527077\pi\) | |||||||
\(702\) | −1.84847 | + | 0.890174i | −0.0697659 | + | 0.0335975i | ||||
\(703\) | 0.165964 | − | 0.727135i | 0.00625944 | − | 0.0274244i | ||||
\(704\) | 57.2433 | 2.15744 | ||||||||
\(705\) | 4.50621 | 0.169714 | ||||||||
\(706\) | −10.7575 | + | 47.1317i | −0.404864 | + | 1.77383i | ||||
\(707\) | −35.3670 | + | 26.6656i | −1.33011 | + | 1.00286i | ||||
\(708\) | 0.0116074 | + | 0.0508552i | 0.000436232 | + | 0.00191126i | ||||
\(709\) | 3.08092 | + | 13.4984i | 0.115706 | + | 0.506942i | 0.999255 | + | 0.0386024i | \(0.0122906\pi\) |
−0.883548 | + | 0.468340i | \(0.844852\pi\) | |||||||
\(710\) | −22.9372 | − | 28.7624i | −0.860819 | − | 1.07943i | ||||
\(711\) | −7.72306 | − | 9.68441i | −0.289637 | − | 0.363194i | ||||
\(712\) | −3.61414 | − | 15.8346i | −0.135446 | − | 0.593426i | ||||
\(713\) | −8.85873 | − | 38.8126i | −0.331762 | − | 1.45354i | ||||
\(714\) | 1.58541 | + | 0.407462i | 0.0593325 | + | 0.0152489i | ||||
\(715\) | 4.32794 | − | 18.9619i | 0.161856 | − | 0.709136i | ||||
\(716\) | 72.6630 | 2.71554 | ||||||||
\(717\) | −2.42681 | −0.0906310 | ||||||||
\(718\) | −12.9247 | + | 56.6266i | −0.482344 | + | 2.11329i | ||||
\(719\) | −11.0559 | + | 5.32426i | −0.412317 | + | 0.198561i | −0.628531 | − | 0.777785i | \(-0.716343\pi\) |
0.216214 | + | 0.976346i | \(0.430629\pi\) | |||||||
\(720\) | −3.76064 | − | 4.71570i | −0.140151 | − | 0.175744i | ||||
\(721\) | 12.1369 | − | 9.15084i | 0.452003 | − | 0.340795i | ||||
\(722\) | 27.2940 | − | 34.2256i | 1.01578 | − | 1.27375i | ||||
\(723\) | −0.594469 | + | 2.60454i | −0.0221085 | + | 0.0968638i | ||||
\(724\) | 29.5490 | − | 37.0533i | 1.09818 | − | 1.37707i | ||||
\(725\) | −66.0864 | + | 31.8256i | −2.45439 | + | 1.18197i | ||||
\(726\) | −1.97514 | − | 2.47674i | −0.0733042 | − | 0.0919206i | ||||
\(727\) | 2.59513 | + | 1.24975i | 0.0962482 | + | 0.0463507i | 0.481388 | − | 0.876507i | \(-0.340133\pi\) |
−0.385140 | + | 0.922858i | \(0.625847\pi\) | |||||||
\(728\) | −0.222226 | + | 8.17903i | −0.00823623 | + | 0.303135i | ||||
\(729\) | 23.2593 | − | 11.2011i | 0.861454 | − | 0.414854i | ||||
\(730\) | −87.5627 | − | 42.1680i | −3.24084 | − | 1.56071i | ||||
\(731\) | −0.0776427 | − | 0.340175i | −0.00287172 | − | 0.0125818i | ||||
\(732\) | −5.08629 | − | 2.44943i | −0.187995 | − | 0.0905335i | ||||
\(733\) | −8.36673 | + | 10.4915i | −0.309032 | + | 0.387514i | −0.911958 | − | 0.410283i | \(-0.865430\pi\) |
0.602926 | + | 0.797797i | \(0.294001\pi\) | |||||||
\(734\) | −31.3341 | −1.15656 | ||||||||
\(735\) | 1.23706 | − | 4.32271i | 0.0456295 | − | 0.159446i | ||||
\(736\) | 29.2705 | 1.07893 | ||||||||
\(737\) | −5.64472 | + | 7.07826i | −0.207926 | + | 0.260731i | ||||
\(738\) | 46.1215 | + | 22.2109i | 1.69776 | + | 0.817596i | ||||
\(739\) | 4.86597 | + | 21.3192i | 0.178998 | + | 0.784240i | 0.982094 | + | 0.188391i | \(0.0603271\pi\) |
−0.803097 | + | 0.595849i | \(0.796816\pi\) | |||||||
\(740\) | −41.9628 | − | 20.2082i | −1.54258 | − | 0.742869i | ||||
\(741\) | 0.0309382 | − | 0.0148990i | 0.00113654 | − | 0.000547330i | ||||
\(742\) | −31.1347 | + | 23.4745i | −1.14299 | + | 0.861777i | ||||
\(743\) | 0.233050 | + | 0.112231i | 0.00854979 | + | 0.00411736i | 0.438154 | − | 0.898900i | \(-0.355633\pi\) |
−0.429604 | + | 0.903017i | \(0.641347\pi\) | |||||||
\(744\) | −1.98777 | − | 2.49258i | −0.0728751 | − | 0.0913825i | ||||
\(745\) | −28.7013 | + | 13.8218i | −1.05153 | + | 0.506393i | ||||
\(746\) | 33.0039 | − | 41.3856i | 1.20836 | − | 1.51524i | ||||
\(747\) | 1.11760 | − | 4.89652i | 0.0408908 | − | 0.179154i | ||||
\(748\) | 16.8775 | − | 21.1637i | 0.617103 | − | 0.773823i | ||||
\(749\) | 18.8006 | − | 3.75699i | 0.686958 | − | 0.137278i | ||||
\(750\) | −8.04926 | − | 10.0934i | −0.293917 | − | 0.368561i | ||||
\(751\) | −18.3777 | + | 8.85025i | −0.670613 | + | 0.322950i | −0.738023 | − | 0.674775i | \(-0.764241\pi\) |
0.0674105 | + | 0.997725i | \(0.478526\pi\) | |||||||
\(752\) | −0.731206 | + | 3.20362i | −0.0266643 | + | 0.116824i | ||||
\(753\) | −3.27448 | −0.119329 | ||||||||
\(754\) | −12.3715 | −0.450544 | ||||||||
\(755\) | −19.6768 | + | 86.2097i | −0.716112 | + | 3.13749i | ||||
\(756\) | −0.213020 | + | 7.84023i | −0.00774747 | + | 0.285146i | ||||
\(757\) | −4.75462 | − | 20.8314i | −0.172810 | − | 0.757128i | −0.984833 | − | 0.173504i | \(-0.944491\pi\) |
0.812024 | − | 0.583625i | \(-0.198366\pi\) | |||||||
\(758\) | −7.37556 | − | 32.3144i | −0.267892 | − | 1.17371i | ||||
\(759\) | −2.38942 | − | 2.99624i | −0.0867305 | − | 0.108757i | ||||
\(760\) | 1.92750 | + | 2.41700i | 0.0699176 | + | 0.0876739i | ||||
\(761\) | −4.93090 | − | 21.6037i | −0.178745 | − | 0.783134i | −0.982211 | − | 0.187782i | \(-0.939870\pi\) |
0.803466 | − | 0.595351i | \(-0.202987\pi\) | |||||||
\(762\) | −1.56656 | − | 6.86353i | −0.0567504 | − | 0.248640i | ||||
\(763\) | 2.79384 | + | 6.22880i | 0.101144 | + | 0.225498i | ||||
\(764\) | −8.87604 | + | 38.8885i | −0.321124 | + | 1.40694i | ||||
\(765\) | 23.2143 | 0.839315 | ||||||||
\(766\) | −48.1822 | −1.74089 | ||||||||
\(767\) | 0.0234070 | − | 0.102553i | 0.000845177 | − | 0.00370296i | ||||
\(768\) | 2.53045 | − | 1.21860i | 0.0913099 | − | 0.0439725i | ||||
\(769\) | 22.1051 | + | 27.7190i | 0.797132 | + | 0.999571i | 0.999793 | + | 0.0203226i | \(0.00646933\pi\) |
−0.202662 | + | 0.979249i | \(0.564959\pi\) | |||||||
\(770\) | −90.9089 | − | 76.6278i | −3.27613 | − | 2.76147i | ||||
\(771\) | −0.0301321 | + | 0.0377845i | −0.00108518 | + | 0.00136077i | ||||
\(772\) | 8.98319 | − | 39.3579i | 0.323312 | − | 1.41652i | ||||
\(773\) | −2.30964 | + | 2.89620i | −0.0830720 | + | 0.104169i | −0.821631 | − | 0.570020i | \(-0.806935\pi\) |
0.738559 | + | 0.674189i | \(0.235507\pi\) | |||||||
\(774\) | 1.19986 | − | 0.577823i | 0.0431281 | − | 0.0207694i | ||||
\(775\) | 59.2786 | + | 74.3330i | 2.12935 | + | 2.67012i | ||||
\(776\) | −0.376212 | − | 0.181174i | −0.0135052 | − | 0.00650376i | ||||
\(777\) | 0.518900 | + | 1.15688i | 0.0186154 | + | 0.0415027i | ||||
\(778\) | 27.1466 | − | 13.0731i | 0.973254 | − | 0.468695i | ||||
\(779\) | −1.54961 | − | 0.746253i | −0.0555205 | − | 0.0267373i | ||||
\(780\) | −0.477164 | − | 2.09059i | −0.0170852 | − | 0.0748553i | ||||
\(781\) | 14.9213 | + | 7.18571i | 0.533925 | + | 0.257125i | ||||
\(782\) | 14.8967 | − | 18.6798i | 0.532703 | − | 0.667989i | ||||
\(783\) | −4.75454 | −0.169913 | ||||||||
\(784\) | 2.87244 | + | 1.58090i | 0.102587 | + | 0.0564606i | ||||
\(785\) | −101.099 | −3.60838 | ||||||||
\(786\) | 1.95161 | − | 2.44724i | 0.0696114 | − | 0.0872900i | ||||
\(787\) | 17.9470 | + | 8.64284i | 0.639743 | + | 0.308084i | 0.725490 | − | 0.688233i | \(-0.241613\pi\) |
−0.0857466 | + | 0.996317i | \(0.527328\pi\) | |||||||
\(788\) | 3.21258 | + | 14.0752i | 0.114443 | + | 0.501409i | ||||
\(789\) | 1.68309 | + | 0.810536i | 0.0599197 | + | 0.0288558i | ||||
\(790\) | 37.4430 | − | 18.0316i | 1.33216 | − | 0.641536i | ||||
\(791\) | −36.6912 | + | 7.33215i | −1.30459 | + | 0.260701i | ||||
\(792\) | 37.3198 | + | 17.9723i | 1.32610 | + | 0.638617i | ||||
\(793\) | 7.09794 | + | 8.90054i | 0.252055 | + | 0.316067i | ||||
\(794\) | 5.92438 | − | 2.85303i | 0.210249 | − | 0.101250i | ||||
\(795\) | 2.55450 | − | 3.20324i | 0.0905987 | − | 0.113607i | ||||
\(796\) | −1.49749 | + | 6.56091i | −0.0530770 | + | 0.232545i | ||||
\(797\) | −20.6868 | + | 25.9404i | −0.732764 | + | 0.918857i | −0.998985 | − | 0.0450549i | \(-0.985654\pi\) |
0.266220 | + | 0.963912i | \(0.414225\pi\) | |||||||
\(798\) | 0.00570130 | − | 0.209837i | 0.000201824 | − | 0.00742814i | ||||
\(799\) | −7.88535 | − | 9.88792i | −0.278964 | − | 0.349809i | ||||
\(800\) | −62.9808 | + | 30.3299i | −2.22671 | + | 1.07233i | ||||
\(801\) | −3.48023 | + | 15.2479i | −0.122968 | + | 0.538757i | ||||
\(802\) | 7.85459 | 0.277355 | ||||||||
\(803\) | 43.7516 | 1.54396 | ||||||||
\(804\) | −0.222112 | + | 0.973135i | −0.00783327 | + | 0.0343198i | ||||
\(805\) | −50.1784 | − | 42.2957i | −1.76856 | − | 1.49073i | ||||
\(806\) | 3.56829 | + | 15.6337i | 0.125688 | + | 0.550673i | ||||
\(807\) | −0.409922 | − | 1.79599i | −0.0144299 | − | 0.0632217i | ||||
\(808\) | 32.2797 | + | 40.4775i | 1.13560 | + | 1.42399i | ||||
\(809\) | 12.1433 | + | 15.2273i | 0.426937 | + | 0.535362i | 0.948048 | − | 0.318127i | \(-0.103054\pi\) |
−0.521111 | + | 0.853489i | \(0.674482\pi\) | |||||||
\(810\) | 19.5688 | + | 85.7366i | 0.687578 | + | 3.01248i | ||||
\(811\) | −7.40735 | − | 32.4537i | −0.260107 | − | 1.13960i | −0.921135 | − | 0.389243i | \(-0.872737\pi\) |
0.661028 | − | 0.750362i | \(-0.270121\pi\) | |||||||
\(812\) | −21.6700 | + | 42.0378i | −0.760469 | + | 1.47524i | ||||
\(813\) | 0.366258 | − | 1.60468i | 0.0128452 | − | 0.0562786i | ||||
\(814\) | 33.5282 | 1.17516 | ||||||||
\(815\) | 7.18096 | 0.251538 | ||||||||
\(816\) | 0.0279096 | − | 0.122280i | 0.000977032 | − | 0.00428066i | ||||
\(817\) | −0.0403135 | + | 0.0194139i | −0.00141039 | + | 0.000679208i | ||||
\(818\) | −15.8817 | − | 19.9150i | −0.555290 | − | 0.696311i | ||||
\(819\) | 3.61006 | − | 7.00316i | 0.126146 | − | 0.244710i | ||||
\(820\) | −66.9660 | + | 83.9727i | −2.33855 | + | 2.93245i | ||||
\(821\) | −3.98499 | + | 17.4594i | −0.139077 | + | 0.609336i | 0.856562 | + | 0.516044i | \(0.172596\pi\) |
−0.995639 | + | 0.0932918i | \(0.970261\pi\) | |||||||
\(822\) | −3.97217 | + | 4.98094i | −0.138545 | + | 0.173730i | ||||
\(823\) | 12.4357 | − | 5.98871i | 0.433481 | − | 0.208753i | −0.204402 | − | 0.978887i | \(-0.565525\pi\) |
0.637882 | + | 0.770134i | \(0.279811\pi\) | |||||||
\(824\) | −11.0774 | − | 13.8907i | −0.385901 | − | 0.483905i | ||||
\(825\) | 8.24596 | + | 3.97105i | 0.287088 | + | 0.138254i | ||||
\(826\) | −0.491667 | − | 0.414429i | −0.0171073 | − | 0.0144198i | ||||
\(827\) | −30.5066 | + | 14.6912i | −1.06082 | + | 0.510863i | −0.881136 | − | 0.472862i | \(-0.843221\pi\) |
−0.179681 | + | 0.983725i | \(0.557506\pi\) | |||||||
\(828\) | 51.3796 | + | 24.7431i | 1.78556 | + | 0.859883i | ||||
\(829\) | −12.5081 | − | 54.8015i | −0.434424 | − | 1.90334i | −0.428903 | − | 0.903351i | \(-0.641100\pi\) |
−0.00552105 | − | 0.999985i | \(-0.501757\pi\) | |||||||
\(830\) | 15.1819 | + | 7.31122i | 0.526971 | + | 0.253776i | ||||
\(831\) | −2.66054 | + | 3.33621i | −0.0922930 | + | 0.115732i | ||||
\(832\) | −12.7269 | −0.441226 | ||||||||
\(833\) | −11.6500 | + | 4.84980i | −0.403648 | + | 0.168036i | ||||
\(834\) | 6.22337 | 0.215498 | ||||||||
\(835\) | 1.32329 | − | 1.65936i | 0.0457944 | − | 0.0574244i | ||||
\(836\) | −3.12752 | − | 1.50613i | −0.108167 | − | 0.0520907i | ||||
\(837\) | 1.37134 | + | 6.00824i | 0.0474005 | + | 0.207675i | ||||
\(838\) | 28.8520 | + | 13.8944i | 0.996674 | + | 0.479973i | ||||
\(839\) | 48.1442 | − | 23.1850i | 1.66212 | − | 0.800436i | 0.663488 | − | 0.748187i | \(-0.269075\pi\) |
0.998634 | − | 0.0522488i | \(-0.0166389\pi\) | |||||||
\(840\) | −5.09007 | − | 1.30819i | −0.175624 | − | 0.0451367i | ||||
\(841\) | 0.297185 | + | 0.143117i | 0.0102478 | + | 0.00493507i | ||||
\(842\) | −25.3633 | − | 31.8046i | −0.874078 | − | 1.09606i | ||||
\(843\) | 3.58868 | − | 1.72822i | 0.123601 | − | 0.0595230i | ||||
\(844\) | 21.9253 | − | 27.4934i | 0.754699 | − | 0.946362i | ||||
\(845\) | −0.962232 | + | 4.21581i | −0.0331018 | + | 0.145028i | ||||
\(846\) | 30.0963 | − | 37.7395i | 1.03473 | − | 1.29751i | ||||
\(847\) | 23.6525 | + | 6.07887i | 0.812710 | + | 0.208872i | ||||
\(848\) | 1.86279 | + | 2.33586i | 0.0639683 | + | 0.0802138i | ||||
\(849\) | −1.51130 | + | 0.727803i | −0.0518676 | + | 0.0249781i | ||||
\(850\) | −12.6969 | + | 55.6288i | −0.435501 | + | 1.90805i | ||||
\(851\) | 18.5063 | 0.634388 | ||||||||
\(852\) | 1.82593 | 0.0625552 | ||||||||
\(853\) | 5.60486 | − | 24.5565i | 0.191907 | − | 0.840799i | −0.783677 | − | 0.621169i | \(-0.786658\pi\) |
0.975583 | − | 0.219630i | \(-0.0704849\pi\) | |||||||
\(854\) | 68.2429 | − | 13.6372i | 2.33522 | − | 0.466657i | ||||
\(855\) | −0.662426 | − | 2.90228i | −0.0226545 | − | 0.0992558i | ||||
\(856\) | −4.98665 | − | 21.8479i | −0.170440 | − | 0.746747i | ||||
\(857\) | 11.4187 | + | 14.3185i | 0.390054 | + | 0.489112i | 0.937626 | − | 0.347647i | \(-0.113019\pi\) |
−0.547572 | + | 0.836759i | \(0.684448\pi\) | |||||||
\(858\) | 0.962457 | + | 1.20688i | 0.0328577 | + | 0.0412023i | ||||
\(859\) | 2.79528 | + | 12.2469i | 0.0953738 | + | 0.417860i | 0.999965 | − | 0.00842112i | \(-0.00268056\pi\) |
−0.904591 | + | 0.426281i | \(0.859823\pi\) | |||||||
\(860\) | 0.621761 | + | 2.72411i | 0.0212019 | + | 0.0928915i | ||||
\(861\) | 2.86721 | − | 0.572965i | 0.0977141 | − | 0.0195266i | ||||
\(862\) | −5.98321 | + | 26.2142i | −0.203789 | + | 0.892858i | ||||
\(863\) | −47.3241 | −1.61093 | −0.805466 | − | 0.592643i | \(-0.798085\pi\) | ||||
−0.805466 | + | 0.592643i | \(0.798085\pi\) | |||||||
\(864\) | −4.53111 | −0.154151 | ||||||||
\(865\) | 14.0746 | − | 61.6647i | 0.478550 | − | 2.09666i | ||||
\(866\) | 39.3138 | − | 18.9325i | 1.33594 | − | 0.643354i | ||||
\(867\) | −1.27344 | − | 1.59685i | −0.0432484 | − | 0.0542317i | ||||
\(868\) | 59.3727 | + | 15.2592i | 2.01524 | + | 0.517932i | ||||
\(869\) | −11.6647 | + | 14.6271i | −0.395699 | + | 0.496191i | ||||
\(870\) | 1.76826 | − | 7.74723i | 0.0599495 | − | 0.262656i | ||||
\(871\) | 1.25499 | − | 1.57371i | 0.0425238 | − | 0.0533232i | ||||
\(872\) | 7.18924 | − | 3.46216i | 0.243458 | − | 0.117243i | ||||
\(873\) | 0.250700 | + | 0.314368i | 0.00848490 | + | 0.0106397i | ||||
\(874\) | −2.76045 | − | 1.32936i | −0.0933735 | − | 0.0449663i | ||||
\(875\) | 96.3908 | + | 24.7732i | 3.25860 | + | 0.837486i | ||||
\(876\) | 4.34601 | − | 2.09293i | 0.146838 | − | 0.0707136i | ||||
\(877\) | 16.4887 | + | 7.94056i | 0.556785 | + | 0.268134i | 0.691044 | − | 0.722813i | \(-0.257151\pi\) |
−0.134259 | + | 0.990946i | \(0.542865\pi\) | |||||||
\(878\) | 4.93663 | + | 21.6288i | 0.166603 | + | 0.729936i | ||||
\(879\) | 1.61855 | + | 0.779453i | 0.0545924 | + | 0.0262903i | ||||
\(880\) | −5.68000 | + | 7.12249i | −0.191473 | + | 0.240099i | ||||
\(881\) | −22.9977 | −0.774812 | −0.387406 | − | 0.921909i | \(-0.626629\pi\) | ||||
−0.387406 | + | 0.921909i | \(0.626629\pi\) | |||||||
\(882\) | −27.9406 | − | 39.2311i | −0.940810 | − | 1.32098i | ||||
\(883\) | 16.3164 | 0.549089 | 0.274545 | − | 0.961574i | \(-0.411473\pi\) | ||||
0.274545 | + | 0.961574i | \(0.411473\pi\) | |||||||
\(884\) | −3.75238 | + | 4.70534i | −0.126206 | + | 0.158258i | ||||
\(885\) | 0.0608745 | + | 0.0293156i | 0.00204627 | + | 0.000985433i | ||||
\(886\) | 10.7100 | + | 46.9237i | 0.359811 | + | 1.57643i | ||||
\(887\) | 41.9900 | + | 20.2213i | 1.40989 | + | 0.678966i | 0.975141 | − | 0.221587i | \(-0.0711238\pi\) |
0.434746 | + | 0.900553i | \(0.356838\pi\) | |||||||
\(888\) | 1.33526 | − | 0.643027i | 0.0448084 | − | 0.0215786i | ||||
\(889\) | 41.4967 | + | 34.9778i | 1.39175 | + | 1.17312i | ||||
\(890\) | −47.2768 | − | 22.7673i | −1.58472 | − | 0.763161i | ||||
\(891\) | −24.6836 | − | 30.9522i | −0.826930 | − | 1.03694i | ||||
\(892\) | 27.5038 | − | 13.2451i | 0.920896 | − | 0.443480i | ||||
\(893\) | −1.01119 | + | 1.26799i | −0.0338381 | + | 0.0424316i | ||||
\(894\) | 0.562606 | − | 2.46494i | 0.0188164 | − | 0.0824399i | ||||
\(895\) | 58.6821 | − | 73.5850i | 1.96153 | − | 2.45968i | ||||
\(896\) | −23.2756 | + | 45.1523i | −0.777582 | + | 1.50843i | ||||
\(897\) | 0.531241 | + | 0.666155i | 0.0177376 | + | 0.0222423i | ||||
\(898\) | −18.3066 | + | 8.81601i | −0.610900 | + | 0.294194i | ||||
\(899\) | −8.26926 | + | 36.2300i | −0.275795 | + | 1.20834i | ||||
\(900\) | −136.191 | −4.53971 | ||||||||
\(901\) | −11.4989 | −0.383084 | ||||||||
\(902\) | 17.2048 | − | 75.3793i | 0.572859 | − | 2.50986i | ||||
\(903\) | 0.0348529 | − | 0.0676113i | 0.00115983 | − | 0.00224996i | ||||
\(904\) | 9.73195 | + | 42.6384i | 0.323680 | + | 1.41813i | ||||
\(905\) | −13.6599 | − | 59.8478i | −0.454070 | − | 1.98941i | ||||
\(906\) | −4.37577 | − | 5.48704i | −0.145375 | − | 0.182295i | ||||
\(907\) | 32.9401 | + | 41.3056i | 1.09376 | + | 1.37153i | 0.922361 | + | 0.386329i | \(0.126257\pi\) |
0.171398 | + | 0.985202i | \(0.445171\pi\) | |||||||
\(908\) | −17.6992 | − | 77.5452i | −0.587368 | − | 2.57343i | ||||
\(909\) | −11.0936 | − | 48.6043i | −0.367952 | − | 1.61210i | ||||
\(910\) | 20.2118 | + | 17.0367i | 0.670015 | + | 0.564760i | ||||
\(911\) | −0.385885 | + | 1.69067i | −0.0127849 | + | 0.0560144i | −0.980918 | − | 0.194422i | \(-0.937717\pi\) |
0.968133 | + | 0.250436i | \(0.0805741\pi\) | |||||||
\(912\) | −0.0160840 | −0.000532593 | ||||||||
\(913\) | −7.58579 | −0.251053 | ||||||||
\(914\) | −8.27546 | + | 36.2571i | −0.273728 | + | 1.19928i | ||||
\(915\) | −6.58816 | + | 3.17269i | −0.217798 | + | 0.104886i | ||||
\(916\) | −3.50956 | − | 4.40085i | −0.115959 | − | 0.145408i | ||||
\(917\) | −0.655380 | + | 24.1213i | −0.0216426 | + | 0.796556i | ||||
\(918\) | −2.30602 | + | 2.89166i | −0.0761100 | + | 0.0954389i | ||||
\(919\) | 0.0577149 | − | 0.252866i | 0.00190384 | − | 0.00834127i | −0.973967 | − | 0.226690i | \(-0.927210\pi\) |
0.975871 | + | 0.218348i | \(0.0700669\pi\) | |||||||
\(920\) | −47.8267 | + | 59.9728i | −1.57680 | + | 1.97725i | ||||
\(921\) | 1.65536 | − | 0.797181i | 0.0545461 | − | 0.0262680i | ||||
\(922\) | 31.6113 | + | 39.6393i | 1.04106 | + | 1.30545i | ||||
\(923\) | −3.31745 | − | 1.59760i | −0.109195 | − | 0.0525857i | ||||
\(924\) | 5.78677 | − | 1.15639i | 0.190371 | − | 0.0380426i | ||||
\(925\) | −39.8197 | + | 19.1761i | −1.30926 | + | 0.630507i | ||||
\(926\) | 5.78817 | + | 2.78743i | 0.190211 | + | 0.0916008i | ||||
\(927\) | 3.80700 | + | 16.6796i | 0.125038 | + | 0.547829i | ||||
\(928\) | −24.6170 | − | 11.8549i | −0.808093 | − | 0.389157i | ||||
\(929\) | 21.2024 | − | 26.5870i | 0.695628 | − | 0.872290i | −0.301060 | − | 0.953605i | \(-0.597341\pi\) |
0.996688 | + | 0.0813150i | \(0.0259120\pi\) | |||||||
\(930\) | −10.3001 | −0.337752 | ||||||||
\(931\) | 0.938762 | + | 1.31810i | 0.0307667 | + | 0.0431991i | ||||
\(932\) | 62.3371 | 2.04192 | ||||||||
\(933\) | −1.58128 | + | 1.98286i | −0.0517688 | + | 0.0649160i | ||||
\(934\) | −45.7164 | − | 22.0158i | −1.49588 | − | 0.720380i | ||||
\(935\) | −7.80213 | − | 34.1833i | −0.255157 | − | 1.11791i | ||||
\(936\) | −8.29733 | − | 3.99578i | −0.271207 | − | 0.130606i | ||||
\(937\) | 18.8959 | − | 9.09980i | 0.617303 | − | 0.297278i | −0.0989776 | − | 0.995090i | \(-0.531557\pi\) |
0.716281 | + | 0.697812i | \(0.245843\pi\) | |||||||
\(938\) | −5.03571 | − | 11.2270i | −0.164422 | − | 0.366575i | ||||
\(939\) | 2.22997 | + | 1.07390i | 0.0727724 | + | 0.0350453i | ||||
\(940\) | 63.1457 | + | 79.1823i | 2.05959 | + | 2.58264i | ||||
\(941\) | −21.5235 | + | 10.3652i | −0.701646 | + | 0.337895i | −0.750463 | − | 0.660913i | \(-0.770169\pi\) |
0.0488168 | + | 0.998808i | \(0.484455\pi\) | |||||||
\(942\) | 5.00286 | − | 6.27339i | 0.163002 | − | 0.204398i | ||||
\(943\) | 9.49644 | − | 41.6066i | 0.309247 | − | 1.35490i | ||||
\(944\) | −0.0307194 | + | 0.0385209i | −0.000999830 | + | 0.00125375i | ||||
\(945\) | 7.76767 | + | 6.54743i | 0.252682 | + | 0.212988i | ||||
\(946\) | −1.25411 | − | 1.57261i | −0.0407748 | − | 0.0511299i | ||||
\(947\) | 15.3840 | − | 7.40855i | 0.499913 | − | 0.240745i | −0.166895 | − | 0.985975i | \(-0.553374\pi\) |
0.666808 | + | 0.745229i | \(0.267660\pi\) | |||||||
\(948\) | −0.458991 | + | 2.01097i | −0.0149073 | + | 0.0653133i | ||||
\(949\) | −9.72731 | −0.315762 | ||||||||
\(950\) | 7.31708 | 0.237397 | ||||||||
\(951\) | 0.898529 | − | 3.93671i | 0.0291368 | − | 0.127657i | ||||
\(952\) | 6.03651 | + | 13.4583i | 0.195644 | + | 0.436185i | ||||
\(953\) | −2.30711 | − | 10.1081i | −0.0747345 | − | 0.327433i | 0.923716 | − | 0.383078i | \(-0.125136\pi\) |
−0.998451 | + | 0.0556443i | \(0.982279\pi\) | |||||||
\(954\) | −9.76606 | − | 42.7879i | −0.316188 | − | 1.38531i | ||||
\(955\) | 32.2137 | + | 40.3947i | 1.04241 | + | 1.30714i | ||||
\(956\) | −34.0071 | − | 42.6435i | −1.09987 | − | 1.37919i | ||||
\(957\) | 0.796031 | + | 3.48764i | 0.0257320 | + | 0.112739i | ||||
\(958\) | −2.70924 | − | 11.8699i | −0.0875314 | − | 0.383500i | ||||
\(959\) | 1.33392 | − | 49.0950i | 0.0430745 | − | 1.58536i | ||||
\(960\) | 1.81905 | − | 7.96979i | 0.0587097 | − | 0.257224i | ||||
\(961\) | 17.1683 | 0.553817 | ||||||||
\(962\) | −7.45432 | −0.240337 | ||||||||
\(963\) | −4.80188 | + | 21.0384i | −0.154738 | + | 0.677953i | ||||
\(964\) | −54.0968 | + | 26.0517i | −1.74234 | + | 0.839067i | ||||
\(965\) | −32.6025 | − | 40.8823i | −1.04951 | − | 1.31605i | ||||
\(966\) | 5.10759 | − | 1.02067i | 0.164334 | − | 0.0328395i | ||||
\(967\) | 35.1956 | − | 44.1339i | 1.13181 | − | 1.41925i | 0.237743 | − | 0.971328i | \(-0.423593\pi\) |
0.894072 | − | 0.447923i | \(-0.147836\pi\) | |||||||
\(968\) | 6.35187 | − | 27.8293i | 0.204157 | − | 0.894469i | ||||
\(969\) | 0.0385963 | − | 0.0483982i | 0.00123989 | − | 0.00155478i | ||||
\(970\) | −1.21545 | + | 0.585328i | −0.0390256 | + | 0.0187937i | ||||
\(971\) | −20.7925 | − | 26.0730i | −0.667263 | − | 0.836721i | 0.326849 | − | 0.945076i | \(-0.394013\pi\) |
−0.994112 | + | 0.108355i | \(0.965442\pi\) | |||||||
\(972\) | −11.9451 | − | 5.75246i | −0.383140 | − | 0.184510i | ||||
\(973\) | −38.3077 | + | 28.8828i | −1.22809 | + | 0.925939i | ||||
\(974\) | 45.0838 | − | 21.7112i | 1.44458 | − | 0.695672i | ||||
\(975\) | −1.83333 | − | 0.882884i | −0.0587134 | − | 0.0282749i | ||||
\(976\) | −1.18654 | − | 5.19857i | −0.0379802 | − | 0.166402i | ||||
\(977\) | −26.0586 | − | 12.5492i | −0.833690 | − | 0.401484i | −0.0321920 | − | 0.999482i | \(-0.510249\pi\) |
−0.801498 | + | 0.597998i | \(0.795963\pi\) | |||||||
\(978\) | −0.355348 | + | 0.445592i | −0.0113628 | + | 0.0142485i | ||||
\(979\) | 23.6223 | 0.754973 | ||||||||
\(980\) | 93.2929 | − | 38.8371i | 2.98013 | − | 1.24061i | ||||
\(981\) | −7.68379 | −0.245325 | ||||||||
\(982\) | −44.5523 | + | 55.8668i | −1.42172 | + | 1.78278i | ||||
\(983\) | −25.1124 | − | 12.0935i | −0.800962 | − | 0.385723i | −0.0118175 | − | 0.999930i | \(-0.503762\pi\) |
−0.789145 | + | 0.614207i | \(0.789476\pi\) | |||||||
\(984\) | −0.760496 | − | 3.33195i | −0.0242437 | − | 0.106219i | ||||
\(985\) | 16.8483 | + | 8.11370i | 0.536831 | + | 0.258524i | ||||
\(986\) | −20.0939 | + | 9.67672i | −0.639921 | + | 0.308170i | ||||
\(987\) | 0.0748831 | − | 2.75608i | 0.00238355 | − | 0.0877269i | ||||
\(988\) | 0.695341 | + | 0.334859i | 0.0221218 | + | 0.0106533i | ||||
\(989\) | −0.692225 | − | 0.868022i | −0.0220115 | − | 0.0276015i | ||||
\(990\) | 120.571 | − | 58.0640i | 3.83200 | − | 1.84539i | ||||
\(991\) | −12.0114 | + | 15.0618i | −0.381555 | + | 0.478455i | −0.935110 | − | 0.354358i | \(-0.884699\pi\) |
0.553555 | + | 0.832813i | \(0.313271\pi\) | |||||||
\(992\) | −7.88066 | + | 34.5274i | −0.250211 | + | 1.09625i | ||||
\(993\) | 2.56777 | − | 3.21988i | 0.0814856 | − | 0.102180i | ||||
\(994\) | −17.9727 | + | 13.5508i | −0.570061 | + | 0.429807i | ||||
\(995\) | 5.43480 | + | 6.81503i | 0.172295 | + | 0.216051i | ||||
\(996\) | −0.753525 | + | 0.362879i | −0.0238764 | + | 0.0114983i | ||||
\(997\) | 13.3986 | − | 58.7030i | 0.424337 | − | 1.85914i | −0.0817390 | − | 0.996654i | \(-0.526047\pi\) |
0.506076 | − | 0.862489i | \(-0.331095\pi\) | |||||||
\(998\) | −8.56677 | −0.271176 | ||||||||
\(999\) | −2.86480 | −0.0906382 |
(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 | 637.2.w.b.92.3 | ✓ | 174 | |
49.8 | even | 7 | inner | 637.2.w.b.547.3 | yes | 174 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
637.2.w.b.92.3 | ✓ | 174 | 1.1 | even | 1 | trivial | |
637.2.w.b.547.3 | yes | 174 | 49.8 | even | 7 | inner |