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 | 547.3 | ||
Character | \(\chi\) | \(=\) | 637.547 |
Dual form | 637.2.w.b.92.3 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{6}{7}\right)\) |
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 | −0.960278 | − | 0.279044i | \(-0.909983\pi\) |
−0.0583653 | − | 0.998295i | \(-0.518589\pi\) | |||||||
\(3\) | −0.133830 | + | 0.0644489i | −0.0772666 | + | 0.0372096i | −0.472118 | − | 0.881535i | \(-0.656510\pi\) |
0.394851 | + | 0.918745i | \(0.370796\pi\) | |||||||
\(4\) | −0.742877 | + | 3.25476i | −0.371439 | + | 1.62738i | ||||
\(5\) | −3.89600 | + | 1.87621i | −1.74234 | + | 0.839068i | −0.760508 | + | 0.649329i | \(0.775050\pi\) |
−0.981835 | + | 0.189739i | \(0.939236\pi\) | |||||||
\(6\) | 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 | −0.997414 | − | 0.0718745i | \(-0.977102\pi\) |
0.151873 | − | 0.988400i | \(-0.451470\pi\) | |||||||
\(12\) | −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 | 0.999992 | − | 0.00400588i | \(-0.00127512\pi\) |
−0.902700 | + | 0.430271i | \(0.858418\pi\) | |||||||
\(18\) | 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 | 0.648301 | + | 0.761384i | \(0.275480\pi\) |
−0.914451 | + | 0.404696i | \(0.867377\pi\) | |||||||
\(24\) | −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 | −0.956537 | − | 0.291610i | \(-0.905809\pi\) |
0.735285 | − | 0.677758i | \(-0.237048\pi\) | |||||||
\(30\) | −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 | −0.999032 | − | 0.0439950i | \(-0.985991\pi\) |
0.881008 | − | 0.473102i | \(-0.156866\pi\) | |||||||
\(38\) | 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 | 0.170278 | − | 0.985396i | \(-0.445533\pi\) |
0.876580 | + | 0.481255i | \(0.159819\pi\) | |||||||
\(42\) | −0.0246622 | − | 0.907693i | −0.00380546 | − | 0.140060i | ||||
\(43\) | 0.174385 | + | 0.0839792i | 0.0265934 | + | 0.0128067i | 0.447133 | − | 0.894467i | \(-0.352445\pi\) |
−0.420540 | + | 0.907274i | \(0.638159\pi\) | |||||||
\(44\) | 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 | 0.990755 | − | 0.135664i | \(-0.0433166\pi\) |
−0.352726 | + | 0.935727i | \(0.614745\pi\) | |||||||
\(48\) | 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 | 0.778913 | + | 0.627132i | \(0.215771\pi\) |
−0.973879 | + | 0.227068i | \(0.927086\pi\) | |||||||
\(54\) | −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 | 0.440043 | − | 0.897977i | \(-0.354963\pi\) |
−0.427704 | + | 0.903919i | \(0.640678\pi\) | |||||||
\(60\) | 1.33699 | + | 1.67653i | 0.172604 | + | 0.216439i | ||||
\(61\) | −2.53323 | − | 11.0988i | −0.324346 | − | 1.42105i | −0.829733 | − | 0.558161i | \(-0.811507\pi\) |
0.505386 | − | 0.862893i | \(-0.331350\pi\) | |||||||
\(62\) | −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 | −0.999991 | − | 0.00413053i | \(-0.998685\pi\) |
0.902753 | + | 0.430159i | \(0.141542\pi\) | |||||||
\(72\) | −2.04927 | + | 8.97844i | −0.241509 | + | 1.05812i | ||||
\(73\) | −6.06488 | + | 7.60512i | −0.709840 | + | 0.890112i | −0.997715 | − | 0.0675562i | \(-0.978480\pi\) |
0.287875 | + | 0.957668i | \(0.407051\pi\) | |||||||
\(74\) | −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 | −0.720764 | − | 0.693181i | \(-0.756209\pi\) |
0.836186 | + | 0.548446i | \(0.184780\pi\) | |||||||
\(84\) | −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 | −0.924483 | − | 0.381223i | \(-0.875503\pi\) |
0.577382 | + | 0.816474i | \(0.304074\pi\) | |||||||
\(90\) | −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 | 0.510306 | − | 0.859993i | \(-0.329532\pi\) |
0.990540 | + | 0.137223i | \(0.0438178\pi\) | |||||||
\(102\) | −0.137674 | + | 0.603191i | −0.0136318 | + | 0.0597248i | ||||
\(103\) | −5.17615 | + | 2.49270i | −0.510021 | + | 0.245613i | −0.671152 | − | 0.741320i | \(-0.734200\pi\) |
0.161131 | + | 0.986933i | \(0.448486\pi\) | |||||||
\(104\) | 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 | −0.950691 | − | 0.310139i | \(-0.899624\pi\) |
0.513912 | + | 0.857843i | \(0.328196\pi\) | |||||||
\(108\) | 2.67085 | + | 1.28621i | 0.257003 | + | 0.123766i | ||||
\(109\) | 1.60875 | + | 2.01731i | 0.154091 | + | 0.193224i | 0.852885 | − | 0.522099i | \(-0.174851\pi\) |
−0.698794 | + | 0.715323i | \(0.746280\pi\) | |||||||
\(110\) | −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 | −0.169033 | − | 0.985610i | \(-0.554064\pi\) |
0.998512 | − | 0.0545244i | \(-0.0173643\pi\) | |||||||
\(114\) | −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 | 0.606500 | + | 0.795084i | \(0.292573\pi\) |
−0.201464 | + | 0.979496i | \(0.564570\pi\) | |||||||
\(128\) | 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 | 0.756927 | − | 0.653499i | \(-0.226700\pi\) |
−0.0389901 | + | 0.999240i | \(0.512414\pi\) | |||||||
\(132\) | −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 | −0.450096 | − | 0.892980i | \(-0.648610\pi\) |
−0.978790 | + | 0.204865i | \(0.934324\pi\) | |||||||
\(138\) | −1.22744 | + | 1.53916i | −0.104486 | + | 0.131022i | ||||
\(139\) | 16.3375 | − | 7.86771i | 1.38573 | − | 0.667330i | 0.415514 | − | 0.909587i | \(-0.363602\pi\) |
0.970212 | + | 0.242256i | \(0.0778875\pi\) | |||||||
\(140\) | −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 | 0.933529 | − | 0.358501i | \(-0.116712\pi\) |
−0.557242 | + | 0.830350i | \(0.688140\pi\) | |||||||
\(150\) | 4.23592 | − | 2.03991i | 0.345861 | − | 0.166558i | ||||
\(151\) | −4.55036 | + | 19.9364i | −0.370303 | + | 1.62240i | 0.355622 | + | 0.934630i | \(0.384269\pi\) |
−0.725925 | + | 0.687774i | \(0.758588\pi\) | |||||||
\(152\) | −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 | 0.996759 | + | 0.0804402i | \(0.0256326\pi\) |
0.684360 | + | 0.729144i | \(0.260082\pi\) | |||||||
\(158\) | −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 | 0.374370 | − | 0.927279i | \(-0.377859\pi\) |
−0.491560 | + | 0.870844i | \(0.663573\pi\) | |||||||
\(164\) | 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 | 0.970526 | − | 0.240995i | \(-0.0774737\pi\) |
−0.978978 | + | 0.203967i | \(0.934617\pi\) | |||||||
\(168\) | 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 | −0.686590 | − | 0.727045i | \(-0.740893\pi\) |
0.934049 | − | 0.357145i | \(-0.116250\pi\) | |||||||
\(174\) | 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 | −0.748104 | − | 0.663581i | \(-0.769036\pi\) |
0.386102 | − | 0.922456i | \(-0.373821\pi\) | |||||||
\(180\) | 38.7329 | + | 18.6528i | 2.88698 | + | 1.39030i | ||||
\(181\) | 8.85108 | − | 11.0989i | 0.657896 | − | 0.824975i | −0.335216 | − | 0.942141i | \(-0.608809\pi\) |
0.993112 | + | 0.117166i | \(0.0373809\pi\) | |||||||
\(182\) | −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 | −0.780714 | − | 0.624888i | \(-0.785145\pi\) |
0.00178962 | + | 0.999998i | \(0.499430\pi\) | |||||||
\(192\) | 0.420665 | − | 1.84305i | 0.0303589 | − | 0.133011i | ||||
\(193\) | 10.8949 | − | 5.24671i | 0.784232 | − | 0.377666i | 0.00147919 | − | 0.999999i | \(-0.499529\pi\) |
0.782753 | + | 0.622333i | \(0.213815\pi\) | |||||||
\(194\) | 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 | −0.497147 | − | 0.867666i | \(-0.665619\pi\) |
0.368403 | + | 0.929666i | \(0.379905\pi\) | |||||||
\(200\) | 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 | −0.502569 | − | 0.864537i | \(-0.667612\pi\) |
0.954693 | + | 0.297591i | \(0.0961833\pi\) | |||||||
\(212\) | −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 | −0.859983 | − | 0.510323i | \(-0.829526\pi\) |
0.996239 | − | 0.0866530i | \(-0.0276171\pi\) | |||||||
\(224\) | −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 | 0.483402 | − | 0.875398i | \(-0.339401\pi\) |
−0.383017 | + | 0.923741i | \(0.625115\pi\) | |||||||
\(230\) | −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 | −0.907406 | − | 0.420256i | \(-0.861940\pi\) |
0.635202 | − | 0.772346i | \(-0.280917\pi\) | |||||||
\(234\) | 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 | 0.844439 | − | 0.535652i | \(-0.179934\pi\) |
0.107710 | + | 0.994182i | \(0.465648\pi\) | |||||||
\(240\) | −0.271063 | + | 0.130537i | −0.0174970 | + | 0.00842612i | ||||
\(241\) | −4.00209 | + | 17.5343i | −0.257797 | + | 1.12948i | 0.665803 | + | 0.746127i | \(0.268089\pi\) |
−0.923601 | + | 0.383356i | \(0.874768\pi\) | |||||||
\(242\) | 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 | 0.938486 | − | 0.345318i | \(-0.112229\pi\) |
0.315156 | + | 0.949040i | \(0.397943\pi\) | |||||||
\(252\) | −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 | 0.977136 | − | 0.212616i | \(-0.0681985\pi\) |
−0.972620 | + | 0.232403i | \(0.925341\pi\) | |||||||
\(258\) | 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 | −0.488071 | − | 0.872804i | \(-0.662299\pi\) |
0.959527 | + | 0.281617i | \(0.0908707\pi\) | |||||||
\(270\) | 5.53146 | − | 6.93623i | 0.336634 | − | 0.422126i | ||||
\(271\) | 2.46573 | − | 10.8031i | 0.149782 | − | 0.656239i | −0.843162 | − | 0.537659i | \(-0.819309\pi\) |
0.992945 | − | 0.118580i | \(-0.0378341\pi\) | |||||||
\(272\) | 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 | 0.684525 | + | 0.728990i | \(0.260010\pi\) |
−0.300439 | + | 0.953801i | \(0.597133\pi\) | |||||||
\(278\) | −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 | −0.967960 | − | 0.251103i | \(-0.919207\pi\) |
−0.0294158 | − | 0.999567i | \(-0.509365\pi\) | |||||||
\(282\) | 0.535774 | + | 2.34738i | 0.0319049 | + | 0.139784i | ||||
\(283\) | 7.04089 | + | 8.82899i | 0.418537 | + | 0.524829i | 0.945746 | − | 0.324907i | \(-0.105333\pi\) |
−0.527209 | + | 0.849736i | \(0.676761\pi\) | |||||||
\(284\) | −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 | 0.511432 | − | 0.859324i | \(-0.329115\pi\) |
−0.951583 | + | 0.307392i | \(0.900544\pi\) | |||||||
\(308\) | −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 | 0.960800 | + | 0.277244i | \(0.0894210\pi\) |
−0.745359 | + | 0.666663i | \(0.767722\pi\) | |||||||
\(312\) | −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 | −0.459842 | − | 0.888001i | \(-0.652094\pi\) |
0.799593 | − | 0.600543i | \(-0.205049\pi\) | |||||||
\(318\) | −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 | −0.800927 | − | 0.598763i | \(-0.795659\pi\) |
0.461816 | − | 0.886975i | \(-0.347198\pi\) | |||||||
\(332\) | 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 | 0.486702 | − | 0.873568i | \(-0.338200\pi\) |
−0.379529 | + | 0.925180i | \(0.623914\pi\) | |||||||
\(338\) | 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 | 0.524093 | + | 0.851661i | \(0.324405\pi\) |
−0.841713 | + | 0.539925i | \(0.818453\pi\) | |||||||
\(348\) | −2.39229 | + | 1.15206i | −0.128240 | + | 0.0617572i | ||||
\(349\) | −13.6211 | − | 6.55959i | −0.729122 | − | 0.351127i | 0.0322168 | − | 0.999481i | \(-0.489743\pi\) |
−0.761339 | + | 0.648354i | \(0.775458\pi\) | |||||||
\(350\) | 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 | 0.862076 | − | 0.506779i | \(-0.169164\pi\) |
0.141280 | + | 0.989970i | \(0.454878\pi\) | |||||||
\(354\) | 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 | 0.922353 | − | 0.386349i | \(-0.126264\pi\) |
0.273018 | + | 0.962009i | \(0.411978\pi\) | |||||||
\(360\) | −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 | −0.510532 | − | 0.859859i | \(-0.670551\pi\) |
0.951905 | + | 0.306395i | \(0.0991228\pi\) | |||||||
\(368\) | 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 | 0.497112 | − | 0.867686i | \(-0.334394\pi\) |
−0.956549 | + | 0.291570i | \(0.905822\pi\) | |||||||
\(380\) | 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 | −0.329443 | − | 0.944176i | \(-0.606861\pi\) |
0.993811 | + | 0.111084i | \(0.0354323\pi\) | |||||||
\(384\) | −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 | −0.707342 | − | 0.706872i | \(-0.750106\pi\) |
0.111634 | + | 0.993749i | \(0.464392\pi\) | |||||||
\(390\) | −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 | −0.497120 | − | 0.867682i | \(-0.665609\pi\) |
0.368432 | + | 0.929655i | \(0.379895\pi\) | |||||||
\(398\) | 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 | −0.831933 | − | 0.554877i | \(-0.812765\pi\) |
0.726087 | + | 0.687603i | \(0.241337\pi\) | |||||||
\(402\) | 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 | −0.998666 | − | 0.0516338i | \(-0.983557\pi\) |
0.877364 | − | 0.479825i | \(-0.159300\pi\) | |||||||
\(410\) | 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 | 0.842023 | + | 0.539441i | \(0.181364\pi\) |
−0.992692 | + | 0.120679i | \(0.961493\pi\) | |||||||
\(420\) | 2.32187 | − | 5.17656i | 0.113296 | − | 0.252590i | ||||
\(421\) | −3.91778 | − | 17.1649i | −0.190941 | − | 0.836567i | −0.976109 | − | 0.217283i | \(-0.930280\pi\) |
0.785168 | − | 0.619283i | \(-0.212577\pi\) | |||||||
\(422\) | −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 | 0.669014 | − | 0.743250i | \(-0.266717\pi\) |
−0.163973 | + | 0.986465i | \(0.552431\pi\) | |||||||
\(432\) | −0.259317 | + | 0.325174i | −0.0124764 | + | 0.0156449i | ||||
\(433\) | −17.0152 | + | 8.19410i | −0.817699 | + | 0.393783i | −0.795487 | − | 0.605970i | \(-0.792785\pi\) |
−0.0222118 | + | 0.999753i | \(0.507071\pi\) | |||||||
\(434\) | −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 | 0.903893 | − | 0.427758i | \(-0.140696\pi\) |
−0.618168 | + | 0.786046i | \(0.712125\pi\) | |||||||
\(440\) | 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 | 0.987930 | − | 0.154901i | \(-0.0495059\pi\) |
−0.370853 | + | 0.928692i | \(0.620934\pi\) | |||||||
\(444\) | −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 | −0.237480 | − | 0.971392i | \(-0.576321\pi\) |
0.611399 | + | 0.791323i | \(0.290607\pi\) | |||||||
\(450\) | 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 | 0.741147 | − | 0.671343i | \(-0.234282\pi\) |
−0.0627796 | + | 0.998027i | \(0.519997\pi\) | |||||||
\(458\) | −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 | 0.951736 | + | 0.306918i | \(0.0992977\pi\) |
−0.724318 | + | 0.689466i | \(0.757845\pi\) | |||||||
\(462\) | −3.12277 | + | 2.63221i | −0.145285 | + | 0.122461i | ||||
\(463\) | −0.618720 | + | 2.71079i | −0.0287544 | + | 0.125981i | −0.987268 | − | 0.159065i | \(-0.949152\pi\) |
0.958514 | + | 0.285047i | \(0.0920091\pi\) | |||||||
\(464\) | −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 | −0.726625 | − | 0.687034i | \(-0.758912\pi\) |
0.952760 | − | 0.303725i | \(-0.0982304\pi\) | |||||||
\(468\) | 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 | 0.701087 | − | 0.713076i | \(-0.252698\pi\) |
−0.851204 | + | 0.524835i | \(0.824127\pi\) | |||||||
\(480\) | −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 | −0.820155 | − | 0.572142i | \(-0.806113\pi\) |
−0.0640399 | + | 0.997947i | \(0.520399\pi\) | |||||||
\(488\) | −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 | −0.727391 | − | 0.686224i | \(-0.759267\pi\) |
0.830878 | + | 0.556454i | \(0.187839\pi\) | |||||||
\(500\) | −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 | 0.964532 | + | 0.263965i | \(0.0850305\pi\) |
0.0427186 | + | 0.999087i | \(0.486398\pi\) | |||||||
\(504\) | 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 | −0.0308191 | − | 0.999525i | \(-0.509812\pi\) |
−0.800676 | + | 0.599098i | \(0.795526\pi\) | |||||||
\(524\) | −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 | 0.995222 | + | 0.0976426i | \(0.0311302\pi\) |
−0.126263 | + | 0.991997i | \(0.540298\pi\) | |||||||
\(542\) | −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 | −0.648454 | − | 0.761253i | \(-0.724584\pi\) |
0.190867 | + | 0.981616i | \(0.438870\pi\) | |||||||
\(548\) | 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 | −0.729490 | − | 0.683991i | \(-0.760243\pi\) |
0.829169 | + | 0.558998i | \(0.188814\pi\) | |||||||
\(564\) | 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 | −0.937080 | − | 0.349116i | \(-0.886482\pi\) |
0.692804 | − | 0.721126i | \(-0.256375\pi\) | |||||||
\(572\) | 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 | 0.994372 | − | 0.105949i | \(-0.0337880\pi\) |
−0.324561 | + | 0.945865i | \(0.605217\pi\) | |||||||
\(578\) | −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 | −0.820196 | − | 0.572083i | \(-0.806135\pi\) |
−0.0641110 | + | 0.997943i | \(0.520421\pi\) | |||||||
\(594\) | 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 | 0.967560 | + | 0.252642i | \(0.0812995\pi\) |
0.0310054 | + | 0.999519i | \(0.490129\pi\) | |||||||
\(600\) | 1.40028 | + | 6.13501i | 0.0571661 | + | 0.250461i | ||||
\(601\) | −18.8685 | − | 23.6603i | −0.769660 | − | 0.965123i | 0.230308 | − | 0.973118i | \(-0.426027\pi\) |
−0.999968 | + | 0.00799451i | \(0.997455\pi\) | |||||||
\(602\) | −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 | −0.939696 | − | 0.342012i | \(-0.888892\pi\) |
0.542539 | + | 0.840031i | \(0.317463\pi\) | |||||||
\(614\) | −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 | 0.937586 | − | 0.347752i | \(-0.113055\pi\) |
−0.995620 | + | 0.0934894i | \(0.970198\pi\) | |||||||
\(618\) | −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 | 0.425200 | − | 0.905100i | \(-0.360204\pi\) |
−0.442528 | + | 0.896755i | \(0.645918\pi\) | |||||||
\(632\) | 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 | −0.667273 | − | 0.744813i | \(-0.732539\pi\) |
0.924355 | − | 0.381534i | \(-0.124604\pi\) | |||||||
\(642\) | −2.24071 | + | 1.07907i | −0.0884337 | + | 0.0425874i | ||||
\(643\) | 28.8405 | + | 13.8888i | 1.13736 | + | 0.547722i | 0.905212 | − | 0.424959i | \(-0.139712\pi\) |
0.232144 | + | 0.972681i | \(0.425426\pi\) | |||||||
\(644\) | 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 | −0.429697 | − | 0.902973i | \(-0.641379\pi\) |
−0.973884 | + | 0.227044i | \(0.927094\pi\) | |||||||
\(648\) | −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 | 0.946176 | + | 0.323654i | \(0.104911\pi\) |
0.842973 | + | 0.537955i | \(0.180803\pi\) | |||||||
\(654\) | 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 | −0.709893 | − | 0.704309i | \(-0.751257\pi\) |
0.945180 | − | 0.326549i | \(-0.105886\pi\) | |||||||
\(660\) | 2.14620 | − | 9.40310i | 0.0835406 | − | 0.366015i | ||||
\(661\) | 4.02194 | − | 5.04335i | 0.156435 | − | 0.196164i | −0.697437 | − | 0.716646i | \(-0.745676\pi\) |
0.853873 | + | 0.520482i | \(0.174248\pi\) | |||||||
\(662\) | −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 | 0.308856 | − | 0.951109i | \(-0.400054\pi\) |
−0.995989 | + | 0.0894710i | \(0.971482\pi\) | |||||||
\(674\) | −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 | −0.620375 | − | 0.784306i | \(-0.713019\pi\) |
0.902688 | + | 0.430296i | \(0.141591\pi\) | |||||||
\(678\) | 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 | −0.214148 | − | 0.976801i | \(-0.568697\pi\) |
0.630175 | + | 0.776453i | \(0.282983\pi\) | |||||||
\(684\) | 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 | −0.791193 | − | 0.611566i | \(-0.790540\pi\) |
−0.0151593 | + | 0.999885i | \(0.504826\pi\) | |||||||
\(692\) | 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 | −0.0849608 | − | 0.996384i | \(-0.527077\pi\) |
0.990308 | − | 0.138886i | \(-0.0443521\pi\) | |||||||
\(702\) | −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 | −0.883548 | − | 0.468340i | \(-0.844852\pi\) |
0.999255 | − | 0.0386024i | \(-0.0122906\pi\) | |||||||
\(710\) | −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 | 0.216214 | − | 0.976346i | \(-0.430629\pi\) |
−0.628531 | + | 0.777785i | \(0.716343\pi\) | |||||||
\(720\) | −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 | −0.385140 | − | 0.922858i | \(-0.625847\pi\) |
0.481388 | + | 0.876507i | \(0.340133\pi\) | |||||||
\(728\) | −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 | 0.602926 | − | 0.797797i | \(-0.294001\pi\) |
−0.911958 | + | 0.410283i | \(0.865430\pi\) | |||||||
\(734\) | −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 | −0.803097 | − | 0.595849i | \(-0.796816\pi\) |
0.982094 | − | 0.188391i | \(-0.0603271\pi\) | |||||||
\(740\) | −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 | −0.429604 | − | 0.903017i | \(-0.641347\pi\) |
0.438154 | + | 0.898900i | \(0.355633\pi\) | |||||||
\(744\) | −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 | 0.0674105 | − | 0.997725i | \(-0.478526\pi\) |
−0.738023 | + | 0.674775i | \(0.764241\pi\) | |||||||
\(752\) | −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 | 0.812024 | + | 0.583625i | \(0.198366\pi\) |
−0.984833 | + | 0.173504i | \(0.944491\pi\) | |||||||
\(758\) | −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 | 0.803466 | + | 0.595351i | \(0.202987\pi\) |
−0.982211 | + | 0.187782i | \(0.939870\pi\) | |||||||
\(762\) | −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 | −0.202662 | − | 0.979249i | \(-0.564959\pi\) |
0.999793 | − | 0.0203226i | \(-0.00646933\pi\) | |||||||
\(770\) | −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 | 0.738559 | − | 0.674189i | \(-0.235507\pi\) |
−0.821631 | + | 0.570020i | \(0.806935\pi\) | |||||||
\(774\) | 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 | −0.0857466 | − | 0.996317i | \(-0.527328\pi\) |
0.725490 | + | 0.688233i | \(0.241613\pi\) | |||||||
\(788\) | 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 | 0.266220 | − | 0.963912i | \(-0.414225\pi\) |
−0.998985 | + | 0.0450549i | \(0.985654\pi\) | |||||||
\(798\) | 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 | −0.521111 | − | 0.853489i | \(-0.674482\pi\) |
0.948048 | + | 0.318127i | \(0.103054\pi\) | |||||||
\(810\) | 19.5688 | − | 85.7366i | 0.687578 | − | 3.01248i | ||||
\(811\) | −7.40735 | + | 32.4537i | −0.260107 | + | 1.13960i | 0.661028 | + | 0.750362i | \(0.270121\pi\) |
−0.921135 | + | 0.389243i | \(0.872737\pi\) | |||||||
\(812\) | −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 | −0.995639 | − | 0.0932918i | \(-0.970261\pi\) |
0.856562 | − | 0.516044i | \(-0.172596\pi\) | |||||||
\(822\) | −3.97217 | − | 4.98094i | −0.138545 | − | 0.173730i | ||||
\(823\) | 12.4357 | + | 5.98871i | 0.433481 | + | 0.208753i | 0.637882 | − | 0.770134i | \(-0.279811\pi\) |
−0.204402 | + | 0.978887i | \(0.565525\pi\) | |||||||
\(824\) | −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 | −0.179681 | − | 0.983725i | \(-0.557506\pi\) |
−0.881136 | + | 0.472862i | \(0.843221\pi\) | |||||||
\(828\) | 51.3796 | − | 24.7431i | 1.78556 | − | 0.859883i | ||||
\(829\) | −12.5081 | + | 54.8015i | −0.434424 | + | 1.90334i | −0.00552105 | + | 0.999985i | \(0.501757\pi\) |
−0.428903 | + | 0.903351i | \(0.641100\pi\) | |||||||
\(830\) | 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 | 0.998634 | + | 0.0522488i | \(0.0166389\pi\) |
0.663488 | + | 0.748187i | \(0.269075\pi\) | |||||||
\(840\) | −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 | 0.975583 | + | 0.219630i | \(0.0704849\pi\) |
−0.783677 | + | 0.621169i | \(0.786658\pi\) | |||||||
\(854\) | 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 | −0.547572 | − | 0.836759i | \(-0.684448\pi\) |
0.937626 | + | 0.347647i | \(0.113019\pi\) | |||||||
\(858\) | 0.962457 | − | 1.20688i | 0.0328577 | − | 0.0412023i | ||||
\(859\) | 2.79528 | − | 12.2469i | 0.0953738 | − | 0.417860i | −0.904591 | − | 0.426281i | \(-0.859823\pi\) |
0.999965 | + | 0.00842112i | \(0.00268056\pi\) | |||||||
\(860\) | 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 | −0.134259 | − | 0.990946i | \(-0.542865\pi\) |
0.691044 | + | 0.722813i | \(0.257151\pi\) | |||||||
\(878\) | 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 | 0.434746 | − | 0.900553i | \(-0.356838\pi\) |
0.975141 | + | 0.221587i | \(0.0711238\pi\) | |||||||
\(888\) | 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 | 0.171398 | − | 0.985202i | \(-0.445171\pi\) |
0.922361 | − | 0.386329i | \(-0.126257\pi\) | |||||||
\(908\) | −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 | 0.968133 | − | 0.250436i | \(-0.0805741\pi\) |
−0.980918 | + | 0.194422i | \(0.937717\pi\) | |||||||
\(912\) | −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 | 0.975871 | − | 0.218348i | \(-0.0700669\pi\) |
−0.973967 | + | 0.226690i | \(0.927210\pi\) | |||||||
\(920\) | −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 | 0.996688 | − | 0.0813150i | \(-0.0259120\pi\) |
−0.301060 | + | 0.953605i | \(0.597341\pi\) | |||||||
\(930\) | −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 | 0.716281 | − | 0.697812i | \(-0.245843\pi\) |
−0.0989776 | + | 0.995090i | \(0.531557\pi\) | |||||||
\(938\) | −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 | 0.0488168 | − | 0.998808i | \(-0.484455\pi\) |
−0.750463 | + | 0.660913i | \(0.770169\pi\) | |||||||
\(942\) | 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 | 0.666808 | − | 0.745229i | \(-0.267660\pi\) |
−0.166895 | + | 0.985975i | \(0.553374\pi\) | |||||||
\(948\) | −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 | −0.998451 | − | 0.0556443i | \(-0.982279\pi\) |
0.923716 | + | 0.383078i | \(0.125136\pi\) | |||||||
\(954\) | −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 | 0.894072 | + | 0.447923i | \(0.147836\pi\) |
0.237743 | + | 0.971328i | \(0.423593\pi\) | |||||||
\(968\) | 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 | −0.994112 | − | 0.108355i | \(-0.965442\pi\) |
0.326849 | + | 0.945076i | \(0.394013\pi\) | |||||||
\(972\) | −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 | −0.801498 | − | 0.597998i | \(-0.795963\pi\) |
−0.0321920 | + | 0.999482i | \(0.510249\pi\) | |||||||
\(978\) | −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 | −0.789145 | − | 0.614207i | \(-0.789476\pi\) |
−0.0118175 | + | 0.999930i | \(0.503762\pi\) | |||||||
\(984\) | −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 | 0.553555 | − | 0.832813i | \(-0.313271\pi\) |
−0.935110 | + | 0.354358i | \(0.884699\pi\) | |||||||
\(992\) | −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 | 0.506076 | + | 0.862489i | \(0.331095\pi\) |
−0.0817390 | + | 0.996654i | \(0.526047\pi\) | |||||||
\(998\) | −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.547.3 | yes | 174 | |
49.43 | even | 7 | inner | 637.2.w.b.92.3 | ✓ | 174 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
637.2.w.b.92.3 | ✓ | 174 | 49.43 | even | 7 | inner | |
637.2.w.b.547.3 | yes | 174 | 1.1 | even | 1 | trivial |