Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(13,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.x (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 13.4 | ||
Character | \(\chi\) | \(=\) | 144.13 |
Dual form | 144.2.x.e.133.4 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.709450 | − | 1.22339i | −0.501657 | − | 0.865067i | ||||
\(3\) | −0.705067 | − | 1.58205i | −0.407071 | − | 0.913397i | ||||
\(4\) | −0.993361 | + | 1.73587i | −0.496680 | + | 0.867934i | ||||
\(5\) | −0.679606 | − | 2.53632i | −0.303929 | − | 1.13428i | −0.933863 | − | 0.357630i | \(-0.883585\pi\) |
0.629934 | − | 0.776648i | \(-0.283082\pi\) | |||||||
\(6\) | −1.43525 | + | 1.98496i | −0.585939 | + | 0.810355i | ||||
\(7\) | −0.614293 | + | 0.354662i | −0.232181 | + | 0.134050i | −0.611578 | − | 0.791184i | \(-0.709465\pi\) |
0.379397 | + | 0.925234i | \(0.376132\pi\) | |||||||
\(8\) | 2.82838 | − | 0.0162452i | 0.999984 | − | 0.00574355i | ||||
\(9\) | −2.00576 | + | 2.23090i | −0.668587 | + | 0.743634i | ||||
\(10\) | −2.62076 | + | 2.63082i | −0.828758 | + | 0.831938i | ||||
\(11\) | −3.63167 | − | 0.973103i | −1.09499 | − | 0.293402i | −0.334267 | − | 0.942478i | \(-0.608489\pi\) |
−0.760723 | + | 0.649077i | \(0.775155\pi\) | |||||||
\(12\) | 3.44661 | + | 0.347642i | 0.994952 | + | 0.100356i | ||||
\(13\) | −0.519100 | + | 0.139092i | −0.143972 | + | 0.0385773i | −0.330085 | − | 0.943951i | \(-0.607078\pi\) |
0.186113 | + | 0.982528i | \(0.440411\pi\) | |||||||
\(14\) | 0.869700 | + | 0.499904i | 0.232437 | + | 0.133605i | ||||
\(15\) | −3.53342 | + | 2.86345i | −0.912325 | + | 0.739339i | ||||
\(16\) | −2.02647 | − | 3.44868i | −0.506617 | − | 0.862171i | ||||
\(17\) | 6.08347 | 1.47546 | 0.737729 | − | 0.675096i | \(-0.235898\pi\) | ||||
0.737729 | + | 0.675096i | \(0.235898\pi\) | |||||||
\(18\) | 4.15225 | + | 0.871110i | 0.978694 | + | 0.205323i | ||||
\(19\) | −1.86732 | − | 1.86732i | −0.428392 | − | 0.428392i | 0.459688 | − | 0.888080i | \(-0.347961\pi\) |
−0.888080 | + | 0.459688i | \(0.847961\pi\) | |||||||
\(20\) | 5.07781 | + | 1.33978i | 1.13543 | + | 0.299584i | ||||
\(21\) | 0.994211 | + | 0.721781i | 0.216955 | + | 0.157505i | ||||
\(22\) | 1.38601 | + | 5.13331i | 0.295497 | + | 1.09443i | ||||
\(23\) | −4.94479 | − | 2.85488i | −1.03106 | − | 0.595283i | −0.113772 | − | 0.993507i | \(-0.536293\pi\) |
−0.917288 | + | 0.398224i | \(0.869627\pi\) | |||||||
\(24\) | −2.01990 | − | 4.46318i | −0.412310 | − | 0.911044i | ||||
\(25\) | −1.64095 | + | 0.947401i | −0.328189 | + | 0.189480i | ||||
\(26\) | 0.538439 | + | 0.536382i | 0.105597 | + | 0.105193i | ||||
\(27\) | 4.94359 | + | 1.60027i | 0.951395 | + | 0.307973i | ||||
\(28\) | −0.00543207 | − | 1.41864i | −0.00102656 | − | 0.268097i | ||||
\(29\) | 2.59481 | − | 9.68396i | 0.481844 | − | 1.79827i | −0.112026 | − | 0.993705i | \(-0.535734\pi\) |
0.593870 | − | 0.804561i | \(-0.297599\pi\) | |||||||
\(30\) | 6.00990 | + | 2.29127i | 1.09725 | + | 0.418327i | ||||
\(31\) | 2.14190 | − | 3.70987i | 0.384696 | − | 0.666313i | −0.607031 | − | 0.794678i | \(-0.707640\pi\) |
0.991727 | + | 0.128365i | \(0.0409730\pi\) | |||||||
\(32\) | −2.78140 | + | 4.92583i | −0.491687 | + | 0.870772i | ||||
\(33\) | 1.02107 | + | 6.43158i | 0.177746 | + | 1.11959i | ||||
\(34\) | −4.31592 | − | 7.44245i | −0.740174 | − | 1.27637i | ||||
\(35\) | 1.31701 | + | 1.31701i | 0.222616 | + | 0.222616i | ||||
\(36\) | −1.88011 | − | 5.69782i | −0.313351 | − | 0.949637i | ||||
\(37\) | 3.75493 | − | 3.75493i | 0.617307 | − | 0.617307i | −0.327533 | − | 0.944840i | \(-0.606217\pi\) |
0.944840 | + | 0.327533i | \(0.106217\pi\) | |||||||
\(38\) | −0.959688 | + | 3.60923i | −0.155682 | + | 0.585494i | ||||
\(39\) | 0.586051 | + | 0.723172i | 0.0938433 | + | 0.115800i | ||||
\(40\) | −1.96339 | − | 7.16265i | −0.310439 | − | 1.13251i | ||||
\(41\) | 1.57053 | + | 0.906743i | 0.245275 | + | 0.141610i | 0.617599 | − | 0.786493i | \(-0.288106\pi\) |
−0.372324 | + | 0.928103i | \(0.621439\pi\) | |||||||
\(42\) | 0.177676 | − | 1.72837i | 0.0274159 | − | 0.266694i | ||||
\(43\) | 8.62809 | + | 2.31189i | 1.31577 | + | 0.352560i | 0.847392 | − | 0.530968i | \(-0.178172\pi\) |
0.468379 | + | 0.883528i | \(0.344838\pi\) | |||||||
\(44\) | 5.29673 | − | 5.33745i | 0.798513 | − | 0.804651i | ||||
\(45\) | 7.02142 | + | 3.57112i | 1.04669 | + | 0.532352i | ||||
\(46\) | 0.0154594 | + | 8.07480i | 0.00227937 | + | 1.19056i | ||||
\(47\) | −2.95451 | − | 5.11737i | −0.430960 | − | 0.746445i | 0.565996 | − | 0.824408i | \(-0.308492\pi\) |
−0.996956 | + | 0.0779629i | \(0.975158\pi\) | |||||||
\(48\) | −4.02719 | + | 5.63753i | −0.581275 | + | 0.813707i | ||||
\(49\) | −3.24843 | + | 5.62645i | −0.464061 | + | 0.803778i | ||||
\(50\) | 2.32321 | + | 1.33538i | 0.328552 | + | 0.188852i | ||||
\(51\) | −4.28926 | − | 9.62435i | −0.600616 | − | 1.34768i | ||||
\(52\) | 0.274207 | − | 1.03926i | 0.0380257 | − | 0.144119i | ||||
\(53\) | −8.56219 | + | 8.56219i | −1.17611 | + | 1.17611i | −0.195380 | + | 0.980728i | \(0.562594\pi\) |
−0.980728 | + | 0.195380i | \(0.937406\pi\) | |||||||
\(54\) | −1.54948 | − | 7.18325i | −0.210857 | − | 0.977517i | ||||
\(55\) | 9.87242i | 1.33120i | ||||||||
\(56\) | −1.73169 | + | 1.01310i | −0.231407 | + | 0.135381i | ||||
\(57\) | −1.63761 | + | 4.27078i | −0.216906 | + | 0.565678i | ||||
\(58\) | −13.6881 | + | 3.69583i | −1.79734 | + | 0.485286i | ||||
\(59\) | 1.39232 | + | 5.19620i | 0.181264 | + | 0.676487i | 0.995399 | + | 0.0958118i | \(0.0305447\pi\) |
−0.814135 | + | 0.580675i | \(0.802789\pi\) | |||||||
\(60\) | −1.46061 | − | 8.97799i | −0.188563 | − | 1.15905i | ||||
\(61\) | −0.175643 | + | 0.655507i | −0.0224887 | + | 0.0839291i | −0.976258 | − | 0.216610i | \(-0.930500\pi\) |
0.953769 | + | 0.300539i | \(0.0971666\pi\) | |||||||
\(62\) | −6.05818 | + | 0.0115986i | −0.769390 | + | 0.00147302i | ||||
\(63\) | 0.440907 | − | 2.08179i | 0.0555491 | − | 0.262281i | ||||
\(64\) | 7.99947 | − | 0.0918952i | 0.999934 | − | 0.0114869i | ||||
\(65\) | 0.705566 | + | 1.22208i | 0.0875147 | + | 0.151580i | ||||
\(66\) | 7.14393 | − | 5.81206i | 0.879356 | − | 0.715415i | ||||
\(67\) | 7.33165 | − | 1.96451i | 0.895703 | − | 0.240003i | 0.218533 | − | 0.975829i | \(-0.429873\pi\) |
0.677170 | + | 0.735826i | \(0.263206\pi\) | |||||||
\(68\) | −6.04308 | + | 10.5601i | −0.732831 | + | 1.28060i | ||||
\(69\) | −1.03015 | + | 9.83579i | −0.124015 | + | 1.18409i | ||||
\(70\) | 0.676865 | − | 2.54558i | 0.0809008 | − | 0.304255i | ||||
\(71\) | − | 2.51212i | − | 0.298134i | −0.988827 | − | 0.149067i | \(-0.952373\pi\) | ||
0.988827 | − | 0.149067i | \(-0.0476271\pi\) | |||||||
\(72\) | −5.63681 | + | 6.34243i | −0.664305 | + | 0.747462i | ||||
\(73\) | − | 7.36013i | − | 0.861437i | −0.902486 | − | 0.430719i | \(-0.858260\pi\) | ||
0.902486 | − | 0.430719i | \(-0.141740\pi\) | |||||||
\(74\) | −7.25767 | − | 1.92980i | −0.843687 | − | 0.224335i | ||||
\(75\) | 2.65581 | + | 1.92808i | 0.306667 | + | 0.222635i | ||||
\(76\) | 5.09634 | − | 1.38650i | 0.584590 | − | 0.159042i | ||||
\(77\) | 2.57603 | − | 0.690245i | 0.293566 | − | 0.0786608i | ||||
\(78\) | 0.468946 | − | 1.23002i | 0.0530977 | − | 0.139273i | ||||
\(79\) | 0.0143249 | + | 0.0248115i | 0.00161168 | + | 0.00279151i | 0.866830 | − | 0.498604i | \(-0.166154\pi\) |
−0.865218 | + | 0.501395i | \(0.832820\pi\) | |||||||
\(80\) | −7.36978 | + | 7.48353i | −0.823966 | + | 0.836684i | ||||
\(81\) | −0.953853 | − | 8.94931i | −0.105984 | − | 0.994368i | ||||
\(82\) | −0.00491010 | − | 2.56465i | −0.000542230 | − | 0.283219i | ||||
\(83\) | −4.00134 | + | 14.9332i | −0.439204 | + | 1.63913i | 0.291598 | + | 0.956541i | \(0.405813\pi\) |
−0.730802 | + | 0.682590i | \(0.760854\pi\) | |||||||
\(84\) | −2.24053 | + | 1.00883i | −0.244461 | + | 0.110072i | ||||
\(85\) | −4.13436 | − | 15.4297i | −0.448435 | − | 1.67358i | ||||
\(86\) | −3.29286 | − | 12.1957i | −0.355078 | − | 1.31509i | ||||
\(87\) | −17.1500 | + | 2.72273i | −1.83867 | + | 0.291907i | ||||
\(88\) | −10.2876 | − | 2.69331i | −1.09666 | − | 0.287108i | ||||
\(89\) | − | 1.86690i | − | 0.197891i | −0.995093 | − | 0.0989453i | \(-0.968453\pi\) | ||
0.995093 | − | 0.0989453i | \(-0.0315469\pi\) | |||||||
\(90\) | −0.612475 | − | 11.1235i | −0.0645606 | − | 1.17252i | ||||
\(91\) | 0.269548 | − | 0.269548i | 0.0282563 | − | 0.0282563i | ||||
\(92\) | 9.86765 | − | 5.74758i | 1.02877 | − | 0.599227i | ||||
\(93\) | −7.37938 | − | 0.772875i | −0.765206 | − | 0.0801434i | ||||
\(94\) | −4.16445 | + | 7.24504i | −0.429530 | + | 0.747269i | ||||
\(95\) | −3.46709 | + | 6.00517i | −0.355715 | + | 0.616117i | ||||
\(96\) | 9.75398 | + | 0.927273i | 0.995512 | + | 0.0946395i | ||||
\(97\) | 5.66064 | + | 9.80452i | 0.574751 | + | 0.995498i | 0.996069 | + | 0.0885851i | \(0.0282345\pi\) |
−0.421317 | + | 0.906913i | \(0.638432\pi\) | |||||||
\(98\) | 9.18793 | − | 0.0175906i | 0.928121 | − | 0.00177691i | ||||
\(99\) | 9.45516 | − | 6.15009i | 0.950279 | − | 0.618107i | ||||
\(100\) | −0.0145106 | − | 3.78958i | −0.00145106 | − | 0.378958i | ||||
\(101\) | 0.312562 | + | 0.0837506i | 0.0311010 | + | 0.00833350i | 0.274336 | − | 0.961634i | \(-0.411542\pi\) |
−0.243235 | + | 0.969967i | \(0.578209\pi\) | |||||||
\(102\) | −8.73131 | + | 12.0754i | −0.864529 | + | 1.19565i | ||||
\(103\) | 14.1155 | + | 8.14959i | 1.39084 | + | 0.803003i | 0.993408 | − | 0.114628i | \(-0.0365676\pi\) |
0.397434 | + | 0.917631i | \(0.369901\pi\) | |||||||
\(104\) | −1.46595 | + | 0.401839i | −0.143748 | + | 0.0394035i | ||||
\(105\) | 1.15500 | − | 3.01217i | 0.112716 | − | 0.293957i | ||||
\(106\) | 16.5493 | + | 4.40044i | 1.60741 | + | 0.427409i | ||||
\(107\) | 6.25131 | − | 6.25131i | 0.604337 | − | 0.604337i | −0.337123 | − | 0.941461i | \(-0.609454\pi\) |
0.941461 | + | 0.337123i | \(0.109454\pi\) | |||||||
\(108\) | −7.68864 | + | 6.99177i | −0.739839 | + | 0.672784i | ||||
\(109\) | −6.40184 | − | 6.40184i | −0.613185 | − | 0.613185i | 0.330590 | − | 0.943775i | \(-0.392752\pi\) |
−0.943775 | + | 0.330590i | \(0.892752\pi\) | |||||||
\(110\) | 12.0778 | − | 7.00399i | 1.15157 | − | 0.667804i | ||||
\(111\) | −8.58796 | − | 3.29301i | −0.815133 | − | 0.312558i | ||||
\(112\) | 2.46796 | + | 1.39979i | 0.233201 | + | 0.132268i | ||||
\(113\) | −0.984349 | + | 1.70494i | −0.0925997 | + | 0.160387i | −0.908604 | − | 0.417658i | \(-0.862851\pi\) |
0.816005 | + | 0.578045i | \(0.196184\pi\) | |||||||
\(114\) | 6.38662 | − | 1.02648i | 0.598162 | − | 0.0961383i | ||||
\(115\) | −3.88038 | + | 14.4818i | −0.361848 | + | 1.35043i | ||||
\(116\) | 14.2325 | + | 14.1239i | 1.32145 | + | 1.31137i | ||||
\(117\) | 0.730888 | − | 1.43705i | 0.0675706 | − | 0.132855i | ||||
\(118\) | 5.36919 | − | 5.38979i | 0.494274 | − | 0.496170i | ||||
\(119\) | −3.73703 | + | 2.15758i | −0.342573 | + | 0.197785i | ||||
\(120\) | −9.94734 | + | 8.15632i | −0.908064 | + | 0.744567i | ||||
\(121\) | 2.71581 | + | 1.56798i | 0.246892 | + | 0.142543i | ||||
\(122\) | 0.926550 | − | 0.250171i | 0.0838859 | − | 0.0226494i | ||||
\(123\) | 0.327186 | − | 3.12396i | 0.0295014 | − | 0.281678i | ||||
\(124\) | 4.31217 | + | 7.40329i | 0.387244 | + | 0.664835i | ||||
\(125\) | −5.76548 | − | 5.76548i | −0.515680 | − | 0.515680i | ||||
\(126\) | −2.85965 | + | 0.937529i | −0.254758 | + | 0.0835217i | ||||
\(127\) | 10.0479 | 0.891606 | 0.445803 | − | 0.895131i | \(-0.352918\pi\) | ||||
0.445803 | + | 0.895131i | \(0.352918\pi\) | |||||||
\(128\) | −5.78765 | − | 9.72127i | −0.511561 | − | 0.859247i | ||||
\(129\) | −2.42586 | − | 15.2801i | −0.213585 | − | 1.34534i | ||||
\(130\) | 0.994511 | − | 1.73018i | 0.0872244 | − | 0.151747i | ||||
\(131\) | 4.06323 | − | 1.08874i | 0.355006 | − | 0.0951236i | −0.0769084 | − | 0.997038i | \(-0.524505\pi\) |
0.431914 | + | 0.901915i | \(0.357838\pi\) | |||||||
\(132\) | −12.1787 | − | 4.61643i | −1.06002 | − | 0.401809i | ||||
\(133\) | 1.80935 | + | 0.484813i | 0.156890 | + | 0.0420387i | ||||
\(134\) | −7.60480 | − | 7.57574i | −0.656955 | − | 0.654444i | ||||
\(135\) | 0.699120 | − | 13.6261i | 0.0601706 | − | 1.17275i | ||||
\(136\) | 17.2064 | − | 0.0988273i | 1.47543 | − | 0.00847437i | ||||
\(137\) | 19.6597 | − | 11.3505i | 1.67964 | − | 0.969742i | 0.717756 | − | 0.696295i | \(-0.245169\pi\) |
0.961887 | − | 0.273447i | \(-0.0881639\pi\) | |||||||
\(138\) | 12.7638 | − | 5.71774i | 1.08653 | − | 0.486726i | ||||
\(139\) | −2.83063 | − | 10.5641i | −0.240091 | − | 0.896032i | −0.975788 | − | 0.218720i | \(-0.929812\pi\) |
0.735697 | − | 0.677311i | \(-0.236855\pi\) | |||||||
\(140\) | −3.59443 | + | 0.977892i | −0.303785 | + | 0.0826470i | ||||
\(141\) | −6.01280 | + | 8.28228i | −0.506369 | + | 0.697494i | ||||
\(142\) | −3.07330 | + | 1.78223i | −0.257906 | + | 0.149561i | ||||
\(143\) | 2.02055 | 0.168967 | ||||||||
\(144\) | 11.7583 | + | 2.39638i | 0.979857 | + | 0.199698i | ||||
\(145\) | −26.3251 | −2.18618 | ||||||||
\(146\) | −9.00430 | + | 5.22164i | −0.745201 | + | 0.432146i | ||||
\(147\) | 11.1917 | + | 1.17215i | 0.923074 | + | 0.0966776i | ||||
\(148\) | 2.78806 | + | 10.2481i | 0.229177 | + | 0.842385i | ||||
\(149\) | 0.169633 | + | 0.633078i | 0.0138969 | + | 0.0518638i | 0.972526 | − | 0.232794i | \(-0.0747867\pi\) |
−0.958629 | + | 0.284658i | \(0.908120\pi\) | |||||||
\(150\) | 0.474621 | − | 4.61697i | 0.0387526 | − | 0.376974i | ||||
\(151\) | 4.98859 | − | 2.88016i | 0.405965 | − | 0.234384i | −0.283089 | − | 0.959094i | \(-0.591359\pi\) |
0.689055 | + | 0.724709i | \(0.258026\pi\) | |||||||
\(152\) | −5.31183 | − | 5.25116i | −0.430846 | − | 0.425925i | ||||
\(153\) | −12.2020 | + | 13.5716i | −0.986472 | + | 1.09720i | ||||
\(154\) | −2.67200 | − | 2.66179i | −0.215316 | − | 0.214493i | ||||
\(155\) | −10.8651 | − | 2.91129i | −0.872704 | − | 0.233840i | ||||
\(156\) | −1.83749 | + | 0.298936i | −0.147117 | + | 0.0239341i | ||||
\(157\) | 7.55600 | − | 2.02462i | 0.603035 | − | 0.161583i | 0.0556311 | − | 0.998451i | \(-0.482283\pi\) |
0.547404 | + | 0.836869i | \(0.315616\pi\) | |||||||
\(158\) | 0.0201913 | − | 0.0351275i | 0.00160633 | − | 0.00279459i | ||||
\(159\) | 19.5827 | + | 7.50889i | 1.55301 | + | 0.595493i | ||||
\(160\) | 14.3838 | + | 3.70691i | 1.13714 | + | 0.293057i | ||||
\(161\) | 4.05007 | 0.319190 | ||||||||
\(162\) | −10.2718 | + | 7.51602i | −0.807027 | + | 0.590515i | ||||
\(163\) | −16.3912 | − | 16.3912i | −1.28386 | − | 1.28386i | −0.938453 | − | 0.345408i | \(-0.887741\pi\) |
−0.345408 | − | 0.938453i | \(-0.612259\pi\) | |||||||
\(164\) | −3.13408 | + | 1.82550i | −0.244731 | + | 0.142548i | ||||
\(165\) | 15.6186 | − | 6.96072i | 1.21591 | − | 0.541891i | ||||
\(166\) | 21.1079 | − | 5.69917i | 1.63829 | − | 0.442341i | ||||
\(167\) | 5.76658 | + | 3.32934i | 0.446232 | + | 0.257632i | 0.706237 | − | 0.707975i | \(-0.250391\pi\) |
−0.260006 | + | 0.965607i | \(0.583724\pi\) | |||||||
\(168\) | 2.82373 | + | 2.02532i | 0.217856 | + | 0.156257i | ||||
\(169\) | −11.0082 | + | 6.35559i | −0.846786 | + | 0.488892i | ||||
\(170\) | −15.9433 | + | 16.0045i | −1.22280 | + | 1.22749i | ||||
\(171\) | 7.91120 | − | 0.420413i | 0.604985 | − | 0.0321498i | ||||
\(172\) | −12.5839 | + | 12.6807i | −0.959516 | + | 0.966892i | ||||
\(173\) | −2.28506 | + | 8.52795i | −0.173730 | + | 0.648368i | 0.823035 | + | 0.567991i | \(0.192279\pi\) |
−0.996765 | + | 0.0803771i | \(0.974388\pi\) | |||||||
\(174\) | 15.4980 | + | 19.0495i | 1.17490 | + | 1.44414i | ||||
\(175\) | 0.672015 | − | 1.16396i | 0.0507995 | − | 0.0879874i | ||||
\(176\) | 4.00354 | + | 14.4964i | 0.301778 | + | 1.09271i | ||||
\(177\) | 7.23896 | − | 5.86638i | 0.544114 | − | 0.440944i | ||||
\(178\) | −2.28394 | + | 1.32447i | −0.171189 | + | 0.0992733i | ||||
\(179\) | 6.98378 | + | 6.98378i | 0.521993 | + | 0.521993i | 0.918173 | − | 0.396180i | \(-0.129664\pi\) |
−0.396180 | + | 0.918173i | \(0.629664\pi\) | |||||||
\(180\) | −13.1738 | + | 8.64084i | −0.981917 | + | 0.644050i | ||||
\(181\) | −10.1061 | + | 10.1061i | −0.751179 | + | 0.751179i | −0.974699 | − | 0.223520i | \(-0.928245\pi\) |
0.223520 | + | 0.974699i | \(0.428245\pi\) | |||||||
\(182\) | −0.520994 | − | 0.138531i | −0.0386186 | − | 0.0102686i | ||||
\(183\) | 1.16089 | − | 0.184301i | 0.0858151 | − | 0.0136240i | ||||
\(184\) | −14.0321 | − | 7.99435i | −1.03446 | − | 0.589351i | ||||
\(185\) | −12.0756 | − | 6.97184i | −0.887815 | − | 0.512580i | ||||
\(186\) | 4.28978 | + | 9.57617i | 0.314542 | + | 0.702159i | ||||
\(187\) | −22.0932 | − | 5.91985i | −1.61561 | − | 0.432902i | ||||
\(188\) | 11.8180 | − | 0.0452519i | 0.861914 | − | 0.00330033i | ||||
\(189\) | −3.60437 | + | 0.770268i | −0.262179 | + | 0.0560288i | ||||
\(190\) | 9.80638 | − | 0.0187746i | 0.711430 | − | 0.00136205i | ||||
\(191\) | 2.87467 | + | 4.97907i | 0.208004 | + | 0.360273i | 0.951086 | − | 0.308928i | \(-0.0999701\pi\) |
−0.743082 | + | 0.669200i | \(0.766637\pi\) | |||||||
\(192\) | −5.78555 | − | 12.5908i | −0.417536 | − | 0.908660i | ||||
\(193\) | −4.45531 | + | 7.71683i | −0.320701 | + | 0.555470i | −0.980633 | − | 0.195856i | \(-0.937252\pi\) |
0.659932 | + | 0.751325i | \(0.270585\pi\) | |||||||
\(194\) | 7.97880 | − | 13.8810i | 0.572844 | − | 0.996597i | ||||
\(195\) | 1.43591 | − | 1.97789i | 0.102828 | − | 0.141639i | ||||
\(196\) | −6.53990 | − | 11.2279i | −0.467136 | − | 0.801995i | ||||
\(197\) | −6.76280 | + | 6.76280i | −0.481830 | + | 0.481830i | −0.905716 | − | 0.423886i | \(-0.860666\pi\) |
0.423886 | + | 0.905716i | \(0.360666\pi\) | |||||||
\(198\) | −14.2319 | − | 7.20415i | −1.01142 | − | 0.511977i | ||||
\(199\) | 4.46794i | 0.316724i | 0.987381 | + | 0.158362i | \(0.0506213\pi\) | ||||
−0.987381 | + | 0.158362i | \(0.949379\pi\) | |||||||
\(200\) | −4.62583 | + | 2.70627i | −0.327096 | + | 0.191362i | ||||
\(201\) | −8.27726 | − | 10.2139i | −0.583833 | − | 0.720434i | ||||
\(202\) | −0.119287 | − | 0.441801i | −0.00839303 | − | 0.0310850i | ||||
\(203\) | 1.84056 | + | 6.86907i | 0.129182 | + | 0.482114i | ||||
\(204\) | 20.9674 | + | 2.11487i | 1.46801 | + | 0.148071i | ||||
\(205\) | 1.23246 | − | 4.59959i | 0.0860785 | − | 0.321249i | ||||
\(206\) | −0.0441308 | − | 23.0505i | −0.00307474 | − | 1.60600i | ||||
\(207\) | 16.2870 | − | 5.30515i | 1.13203 | − | 0.368734i | ||||
\(208\) | 1.53162 | + | 1.50834i | 0.106199 | + | 0.104585i | ||||
\(209\) | 4.96439 | + | 8.59858i | 0.343394 | + | 0.594776i | ||||
\(210\) | −4.50447 | + | 0.723970i | −0.310838 | + | 0.0499587i | ||||
\(211\) | −9.04426 | + | 2.42340i | −0.622633 | + | 0.166834i | −0.556324 | − | 0.830965i | \(-0.687789\pi\) |
−0.0663083 | + | 0.997799i | \(0.521122\pi\) | |||||||
\(212\) | −6.35748 | − | 23.3682i | −0.436634 | − | 1.60493i | ||||
\(213\) | −3.97430 | + | 1.77122i | −0.272315 | + | 0.121362i | ||||
\(214\) | −12.0828 | − | 3.21279i | −0.825962 | − | 0.219622i | ||||
\(215\) | − | 23.4548i | − | 1.59960i | ||||||
\(216\) | 14.0084 | + | 4.44588i | 0.953148 | + | 0.302504i | ||||
\(217\) | 3.03860i | 0.206273i | ||||||||
\(218\) | −3.29015 | + | 12.3737i | −0.222837 | + | 0.838054i | ||||
\(219\) | −11.6441 | + | 5.18938i | −0.786834 | + | 0.350666i | ||||
\(220\) | −17.1372 | − | 9.80687i | −1.15539 | − | 0.661179i | ||||
\(221\) | −3.15793 | + | 0.846164i | −0.212425 | + | 0.0569192i | ||||
\(222\) | 2.06411 | + | 12.8426i | 0.138534 | + | 0.861942i | ||||
\(223\) | −5.66067 | − | 9.80457i | −0.379067 | − | 0.656562i | 0.611860 | − | 0.790966i | \(-0.290422\pi\) |
−0.990927 | + | 0.134403i | \(0.957088\pi\) | |||||||
\(224\) | −0.0384100 | − | 4.01236i | −0.00256638 | − | 0.268087i | ||||
\(225\) | 1.17779 | − | 5.56105i | 0.0785191 | − | 0.370737i | ||||
\(226\) | 2.78415 | − | 0.00533034i | 0.185199 | − | 0.000354569i | ||||
\(227\) | −2.12410 | + | 7.92726i | −0.140982 | + | 0.526151i | 0.858920 | + | 0.512110i | \(0.171136\pi\) |
−0.999901 | + | 0.0140406i | \(0.995531\pi\) | |||||||
\(228\) | −5.78677 | − | 7.08509i | −0.383238 | − | 0.469221i | ||||
\(229\) | −3.94091 | − | 14.7077i | −0.260423 | − | 0.971912i | −0.964993 | − | 0.262277i | \(-0.915527\pi\) |
0.704570 | − | 0.709635i | \(-0.251140\pi\) | |||||||
\(230\) | 20.4698 | − | 5.52689i | 1.34974 | − | 0.364432i | ||||
\(231\) | −2.90828 | − | 3.58874i | −0.191351 | − | 0.236122i | ||||
\(232\) | 7.18179 | − | 27.4321i | 0.471508 | − | 1.80100i | ||||
\(233\) | 7.40495i | 0.485114i | 0.970137 | + | 0.242557i | \(0.0779862\pi\) | ||||
−0.970137 | + | 0.242557i | \(0.922014\pi\) | |||||||
\(234\) | −2.27659 | + | 0.125353i | −0.148826 | + | 0.00819458i | ||||
\(235\) | −10.9714 | + | 10.9714i | −0.715695 | + | 0.715695i | ||||
\(236\) | −10.4030 | − | 2.74482i | −0.677176 | − | 0.178673i | ||||
\(237\) | 0.0291530 | − | 0.0401565i | 0.00189369 | − | 0.00260845i | ||||
\(238\) | 5.29080 | + | 3.04115i | 0.342951 | + | 0.197129i | ||||
\(239\) | −2.17384 | + | 3.76519i | −0.140614 | + | 0.243550i | −0.927728 | − | 0.373257i | \(-0.878241\pi\) |
0.787114 | + | 0.616807i | \(0.211574\pi\) | |||||||
\(240\) | 17.0355 | + | 6.38296i | 1.09964 | + | 0.412018i | ||||
\(241\) | −10.5773 | − | 18.3203i | −0.681341 | − | 1.18012i | −0.974572 | − | 0.224075i | \(-0.928064\pi\) |
0.293231 | − | 0.956042i | \(-0.405269\pi\) | |||||||
\(242\) | −0.00849074 | − | 4.43490i | −0.000545805 | − | 0.285086i | ||||
\(243\) | −13.4857 | + | 7.81891i | −0.865109 | + | 0.501583i | ||||
\(244\) | −0.963397 | − | 0.956048i | −0.0616752 | − | 0.0612047i | ||||
\(245\) | 16.4781 | + | 4.41530i | 1.05275 | + | 0.282083i | ||||
\(246\) | −4.05395 | + | 1.81602i | −0.258470 | + | 0.115785i | ||||
\(247\) | 1.22905 | + | 0.709595i | 0.0782029 | + | 0.0451504i | ||||
\(248\) | 5.99783 | − | 10.5277i | 0.380862 | − | 0.668511i | ||||
\(249\) | 26.4463 | − | 4.19859i | 1.67596 | − | 0.266075i | ||||
\(250\) | −2.96310 | + | 11.1437i | −0.187403 | + | 0.704792i | ||||
\(251\) | −9.06294 | + | 9.06294i | −0.572048 | + | 0.572048i | −0.932700 | − | 0.360653i | \(-0.882554\pi\) |
0.360653 | + | 0.932700i | \(0.382554\pi\) | |||||||
\(252\) | 3.17574 | + | 2.83333i | 0.200053 | + | 0.178483i | ||||
\(253\) | 15.1798 | + | 15.1798i | 0.954344 | + | 0.954344i | ||||
\(254\) | −7.12848 | − | 12.2925i | −0.447280 | − | 0.771298i | ||||
\(255\) | −21.4955 | + | 17.4197i | −1.34610 | + | 1.09086i | ||||
\(256\) | −7.78684 | + | 13.9773i | −0.486678 | + | 0.873582i | ||||
\(257\) | 5.53555 | − | 9.58785i | 0.345298 | − | 0.598074i | −0.640110 | − | 0.768283i | \(-0.721111\pi\) |
0.985408 | + | 0.170210i | \(0.0544445\pi\) | |||||||
\(258\) | −16.9725 | + | 13.8082i | −1.05666 | + | 0.859663i | ||||
\(259\) | −0.974895 | + | 3.63836i | −0.0605770 | + | 0.226077i | ||||
\(260\) | −2.82224 | + | 0.0108066i | −0.175028 | + | 0.000670195i | ||||
\(261\) | 16.3994 | + | 25.2125i | 1.01510 | + | 1.56061i | ||||
\(262\) | −4.21461 | − | 4.19850i | −0.260380 | − | 0.259384i | ||||
\(263\) | 20.4693 | − | 11.8180i | 1.26219 | − | 0.728726i | 0.288693 | − | 0.957422i | \(-0.406779\pi\) |
0.973498 | + | 0.228695i | \(0.0734460\pi\) | |||||||
\(264\) | 2.99247 | + | 18.1744i | 0.184174 | + | 1.11856i | ||||
\(265\) | 27.5354 | + | 15.8976i | 1.69149 | + | 0.976580i | ||||
\(266\) | −0.690527 | − | 2.55749i | −0.0423390 | − | 0.156810i | ||||
\(267\) | −2.95352 | + | 1.31629i | −0.180753 | + | 0.0805555i | ||||
\(268\) | −3.87284 | + | 14.6782i | −0.236572 | + | 0.896616i | ||||
\(269\) | 9.76907 | + | 9.76907i | 0.595631 | + | 0.595631i | 0.939147 | − | 0.343516i | \(-0.111618\pi\) |
−0.343516 | + | 0.939147i | \(0.611618\pi\) | |||||||
\(270\) | −17.1660 | + | 8.81175i | −1.04469 | + | 0.536266i | ||||
\(271\) | −6.14441 | −0.373246 | −0.186623 | − | 0.982432i | \(-0.559754\pi\) | ||||
−0.186623 | + | 0.982432i | \(0.559754\pi\) | |||||||
\(272\) | −12.3280 | − | 20.9800i | −0.747493 | − | 1.27210i | ||||
\(273\) | −0.616488 | − | 0.236389i | −0.0373116 | − | 0.0143069i | ||||
\(274\) | −27.8337 | − | 15.9988i | −1.68150 | − | 0.966525i | ||||
\(275\) | 6.88130 | − | 1.84384i | 0.414958 | − | 0.111188i | ||||
\(276\) | −16.0503 | − | 11.5587i | −0.966116 | − | 0.695751i | ||||
\(277\) | 20.1656 | + | 5.40336i | 1.21164 | + | 0.324657i | 0.807403 | − | 0.590000i | \(-0.200872\pi\) |
0.404232 | + | 0.914656i | \(0.367539\pi\) | |||||||
\(278\) | −10.9158 | + | 10.9576i | −0.654684 | + | 0.657195i | ||||
\(279\) | 3.98023 | + | 12.2195i | 0.238290 | + | 0.731561i | ||||
\(280\) | 3.74641 | + | 3.70362i | 0.223891 | + | 0.221334i | ||||
\(281\) | −9.92135 | + | 5.72809i | −0.591858 | + | 0.341709i | −0.765832 | − | 0.643041i | \(-0.777673\pi\) |
0.173974 | + | 0.984750i | \(0.444339\pi\) | |||||||
\(282\) | 14.3982 | + | 1.48013i | 0.857402 | + | 0.0881403i | ||||
\(283\) | −0.602736 | − | 2.24944i | −0.0358289 | − | 0.133715i | 0.945695 | − | 0.325056i | \(-0.105383\pi\) |
−0.981524 | + | 0.191341i | \(0.938716\pi\) | |||||||
\(284\) | 4.36071 | + | 2.49544i | 0.258761 | + | 0.148077i | ||||
\(285\) | 11.9450 | + | 1.25105i | 0.707561 | + | 0.0741059i | ||||
\(286\) | −1.43348 | − | 2.47192i | −0.0847634 | − | 0.146168i | ||||
\(287\) | −1.28635 | −0.0759308 | ||||||||
\(288\) | −5.41022 | − | 16.0851i | −0.318800 | − | 0.947822i | ||||
\(289\) | 20.0086 | 1.17698 | ||||||||
\(290\) | 18.6764 | + | 32.2058i | 1.09671 | + | 1.89119i | ||||
\(291\) | 11.5201 | − | 15.8683i | 0.675320 | − | 0.930214i | ||||
\(292\) | 12.7762 | + | 7.31126i | 0.747671 | + | 0.427859i | ||||
\(293\) | −4.63987 | − | 17.3162i | −0.271064 | − | 1.01162i | −0.958433 | − | 0.285317i | \(-0.907901\pi\) |
0.687369 | − | 0.726308i | \(-0.258765\pi\) | |||||||
\(294\) | −6.50594 | − | 14.5234i | −0.379434 | − | 0.847019i | ||||
\(295\) | 12.2330 | − | 7.06273i | 0.712233 | − | 0.411208i | ||||
\(296\) | 10.5594 | − | 10.6814i | 0.613751 | − | 0.620842i | ||||
\(297\) | −16.3963 | − | 10.6223i | −0.951408 | − | 0.616368i | ||||
\(298\) | 0.654155 | − | 0.656664i | 0.0378942 | − | 0.0380395i | ||||
\(299\) | 2.96393 | + | 0.794183i | 0.171409 | + | 0.0459288i | ||||
\(300\) | −5.98507 | + | 2.69486i | −0.345548 | + | 0.155588i | ||||
\(301\) | −6.12011 | + | 1.63988i | −0.352757 | + | 0.0945210i | ||||
\(302\) | −7.06271 | − | 4.05965i | −0.406413 | − | 0.233607i | ||||
\(303\) | −0.0878793 | − | 0.553538i | −0.00504854 | − | 0.0317999i | ||||
\(304\) | −2.65573 | + | 10.2239i | −0.152316 | + | 0.586379i | ||||
\(305\) | 1.78195 | 0.102034 | ||||||||
\(306\) | 25.2601 | + | 5.29937i | 1.44402 | + | 0.302945i | ||||
\(307\) | −2.88202 | − | 2.88202i | −0.164486 | − | 0.164486i | 0.620065 | − | 0.784551i | \(-0.287106\pi\) |
−0.784551 | + | 0.620065i | \(0.787106\pi\) | |||||||
\(308\) | −1.36075 | + | 5.15731i | −0.0775361 | + | 0.293865i | ||||
\(309\) | 2.94067 | − | 28.0774i | 0.167289 | − | 1.59727i | ||||
\(310\) | 4.14660 | + | 15.3576i | 0.235511 | + | 0.872255i | ||||
\(311\) | 21.4929 | + | 12.4089i | 1.21875 | + | 0.703646i | 0.964651 | − | 0.263532i | \(-0.0848874\pi\) |
0.254100 | + | 0.967178i | \(0.418221\pi\) | |||||||
\(312\) | 1.66932 | + | 2.03588i | 0.0945068 | + | 0.115259i | ||||
\(313\) | 3.81457 | − | 2.20234i | 0.215612 | − | 0.124484i | −0.388305 | − | 0.921531i | \(-0.626939\pi\) |
0.603917 | + | 0.797047i | \(0.293606\pi\) | |||||||
\(314\) | −7.83751 | − | 7.80756i | −0.442296 | − | 0.440606i | ||||
\(315\) | −5.57975 | + | 0.296516i | −0.314383 | + | 0.0167068i | ||||
\(316\) | −0.0572993 | 0.000219403i | −0.00322334 | 1.23424e-5i | ||||||
\(317\) | −2.68252 | + | 10.0113i | −0.150665 | + | 0.562291i | 0.848772 | + | 0.528759i | \(0.177342\pi\) |
−0.999438 | + | 0.0335323i | \(0.989324\pi\) | |||||||
\(318\) | −4.70668 | − | 29.2845i | −0.263938 | − | 1.64219i | ||||
\(319\) | −18.8470 | + | 32.6439i | −1.05523 | + | 1.82771i | ||||
\(320\) | −5.66956 | − | 20.2268i | −0.316938 | − | 1.13071i | ||||
\(321\) | −14.2975 | − | 5.48229i | −0.798008 | − | 0.305992i | ||||
\(322\) | −2.87332 | − | 4.95481i | −0.160124 | − | 0.276121i | ||||
\(323\) | −11.3598 | − | 11.3598i | −0.632076 | − | 0.632076i | ||||
\(324\) | 16.4823 | + | 7.23413i | 0.915685 | + | 0.401896i | ||||
\(325\) | 0.720039 | − | 0.720039i | 0.0399406 | − | 0.0399406i | ||||
\(326\) | −8.42409 | + | 31.6816i | −0.466567 | + | 1.75468i | ||||
\(327\) | −5.61430 | + | 14.6418i | −0.310471 | + | 0.809691i | ||||
\(328\) | 4.45677 | + | 2.53910i | 0.246084 | + | 0.140198i | ||||
\(329\) | 3.62987 | + | 2.09571i | 0.200121 | + | 0.115540i | ||||
\(330\) | −19.5963 | − | 14.1694i | −1.07874 | − | 0.780000i | ||||
\(331\) | 23.9073 | + | 6.40595i | 1.31407 | + | 0.352103i | 0.846752 | − | 0.531988i | \(-0.178555\pi\) |
0.467314 | + | 0.884091i | \(0.345222\pi\) | |||||||
\(332\) | −21.9473 | − | 21.7798i | −1.20451 | − | 1.19532i | ||||
\(333\) | 0.845394 | + | 15.9084i | 0.0463273 | + | 0.871773i | ||||
\(334\) | −0.0180287 | − | 9.41677i | −0.000986485 | − | 0.515263i | ||||
\(335\) | −9.96526 | − | 17.2603i | −0.544461 | − | 0.943033i | ||||
\(336\) | 0.474456 | − | 4.89139i | 0.0258837 | − | 0.266847i | ||||
\(337\) | 4.48386 | − | 7.76627i | 0.244251 | − | 0.423056i | −0.717670 | − | 0.696384i | \(-0.754791\pi\) |
0.961921 | + | 0.273328i | \(0.0881245\pi\) | |||||||
\(338\) | 15.5851 | + | 8.95835i | 0.847720 | + | 0.487270i | ||||
\(339\) | 3.39133 | + | 0.355189i | 0.184192 | + | 0.0192912i | ||||
\(340\) | 30.8907 | + | 8.15051i | 1.67529 | + | 0.442023i | ||||
\(341\) | −11.3887 | + | 11.3887i | −0.616735 | + | 0.616735i | ||||
\(342\) | −6.12693 | − | 9.38022i | −0.331307 | − | 0.507224i | ||||
\(343\) | − | 9.57365i | − | 0.516928i | ||||||
\(344\) | 24.4411 | + | 6.39874i | 1.31777 | + | 0.344997i | ||||
\(345\) | 25.6468 | − | 4.07168i | 1.38078 | − | 0.219212i | ||||
\(346\) | 12.0541 | − | 3.25464i | 0.648034 | − | 0.174971i | ||||
\(347\) | −2.78983 | − | 10.4118i | −0.149766 | − | 0.558935i | −0.999497 | − | 0.0317179i | \(-0.989902\pi\) |
0.849731 | − | 0.527217i | \(-0.176764\pi\) | |||||||
\(348\) | 12.3099 | − | 32.4748i | 0.659878 | − | 1.74083i | ||||
\(349\) | −5.94549 | + | 22.1889i | −0.318255 | + | 1.18774i | 0.602666 | + | 0.797993i | \(0.294105\pi\) |
−0.920921 | + | 0.389749i | \(0.872562\pi\) | |||||||
\(350\) | −1.90074 | + | 0.00363902i | −0.101599 | + | 0.000194514i | ||||
\(351\) | −2.78880 | − | 0.143086i | −0.148855 | − | 0.00763737i | ||||
\(352\) | 14.8945 | − | 15.1824i | 0.793878 | − | 0.809224i | ||||
\(353\) | 6.69259 | + | 11.5919i | 0.356211 | + | 0.616975i | 0.987324 | − | 0.158715i | \(-0.0507352\pi\) |
−0.631114 | + | 0.775690i | \(0.717402\pi\) | |||||||
\(354\) | −12.3125 | − | 4.69416i | −0.654404 | − | 0.249492i | ||||
\(355\) | −6.37156 | + | 1.70725i | −0.338167 | + | 0.0906116i | ||||
\(356\) | 3.24069 | + | 1.85450i | 0.171756 | + | 0.0982884i | ||||
\(357\) | 6.04825 | + | 4.39093i | 0.320108 | + | 0.232393i | ||||
\(358\) | 3.58924 | − | 13.4985i | 0.189697 | − | 0.713420i | ||||
\(359\) | − | 25.8640i | − | 1.36505i | −0.730863 | − | 0.682525i | \(-0.760882\pi\) | ||
0.730863 | − | 0.682525i | \(-0.239118\pi\) | |||||||
\(360\) | 19.9173 | + | 9.98643i | 1.04973 | + | 0.526331i | ||||
\(361\) | − | 12.0262i | − | 0.632960i | ||||||
\(362\) | 19.5334 | + | 5.19390i | 1.02665 | + | 0.272986i | ||||
\(363\) | 0.565784 | − | 5.40208i | 0.0296959 | − | 0.283536i | ||||
\(364\) | 0.200141 | + | 0.735659i | 0.0104903 | + | 0.0385590i | ||||
\(365\) | −18.6677 | + | 5.00198i | −0.977110 | + | 0.261816i | ||||
\(366\) | −1.04906 | − | 1.28946i | −0.0548354 | − | 0.0674012i | ||||
\(367\) | −7.91603 | − | 13.7110i | −0.413213 | − | 0.715707i | 0.582026 | − | 0.813170i | \(-0.302260\pi\) |
−0.995239 | + | 0.0974639i | \(0.968927\pi\) | |||||||
\(368\) | 0.174902 | + | 22.8384i | 0.00911739 | + | 1.19053i | ||||
\(369\) | −5.17295 | + | 1.68498i | −0.269293 | + | 0.0877165i | ||||
\(370\) | 0.0377532 | + | 19.7193i | 0.00196269 | + | 1.02516i | ||||
\(371\) | 2.22301 | − | 8.29638i | 0.115413 | − | 0.430726i | ||||
\(372\) | 8.67199 | − | 12.0419i | 0.449622 | − | 0.624342i | ||||
\(373\) | −1.00410 | − | 3.74735i | −0.0519902 | − | 0.194030i | 0.935046 | − | 0.354525i | \(-0.115358\pi\) |
−0.987037 | + | 0.160495i | \(0.948691\pi\) | |||||||
\(374\) | 8.43173 | + | 31.2284i | 0.435994 | + | 1.61478i | ||||
\(375\) | −5.05622 | + | 13.1863i | −0.261102 | + | 0.680938i | ||||
\(376\) | −8.43962 | − | 14.4259i | −0.435240 | − | 0.743957i | ||||
\(377\) | 5.38786i | 0.277489i | ||||||||
\(378\) | 3.49946 | + | 3.86308i | 0.179993 | + | 0.198695i | ||||
\(379\) | 17.2803 | − | 17.2803i | 0.887628 | − | 0.887628i | −0.106667 | − | 0.994295i | \(-0.534018\pi\) |
0.994295 | + | 0.106667i | \(0.0340179\pi\) | |||||||
\(380\) | −6.98011 | − | 11.9837i | −0.358072 | − | 0.614751i | ||||
\(381\) | −7.08444 | − | 15.8963i | −0.362947 | − | 0.814390i | ||||
\(382\) | 4.05190 | − | 7.04924i | 0.207313 | − | 0.360670i | ||||
\(383\) | 4.26860 | − | 7.39343i | 0.218115 | − | 0.377787i | −0.736117 | − | 0.676855i | \(-0.763342\pi\) |
0.954232 | + | 0.299068i | \(0.0966758\pi\) | |||||||
\(384\) | −11.2988 | + | 16.0105i | −0.576592 | + | 0.817032i | ||||
\(385\) | −3.50137 | − | 6.06455i | −0.178446 | − | 0.309078i | ||||
\(386\) | 12.6015 | − | 0.0241259i | 0.641400 | − | 0.00122798i | ||||
\(387\) | −22.4635 | + | 14.6113i | −1.14188 | + | 0.742736i | ||||
\(388\) | −22.6424 | + | 0.0866994i | −1.14949 | + | 0.00440149i | ||||
\(389\) | −30.0002 | − | 8.03854i | −1.52107 | − | 0.407570i | −0.600977 | − | 0.799266i | \(-0.705222\pi\) |
−0.920095 | + | 0.391696i | \(0.871889\pi\) | |||||||
\(390\) | −3.43843 | − | 0.353468i | −0.174112 | − | 0.0178986i | ||||
\(391\) | −30.0815 | − | 17.3676i | −1.52129 | − | 0.878316i | ||||
\(392\) | −9.09639 | + | 15.9665i | −0.459437 | + | 0.806430i | ||||
\(393\) | −4.58729 | − | 5.66060i | −0.231398 | − | 0.285539i | ||||
\(394\) | 13.0714 | + | 3.47566i | 0.658528 | + | 0.175101i | ||||
\(395\) | 0.0531947 | − | 0.0531947i | 0.00267651 | − | 0.00267651i | ||||
\(396\) | 1.28336 | + | 22.5222i | 0.0644913 | + | 1.13178i | ||||
\(397\) | 16.6870 | + | 16.6870i | 0.837495 | + | 0.837495i | 0.988529 | − | 0.151033i | \(-0.0482601\pi\) |
−0.151033 | + | 0.988529i | \(0.548260\pi\) | |||||||
\(398\) | 5.46603 | − | 3.16978i | 0.273987 | − | 0.158887i | ||||
\(399\) | −0.508714 | − | 3.20430i | −0.0254675 | − | 0.160416i | ||||
\(400\) | 6.59262 | + | 3.73923i | 0.329631 | + | 0.186961i | ||||
\(401\) | 8.76727 | − | 15.1854i | 0.437817 | − | 0.758321i | −0.559704 | − | 0.828693i | \(-0.689085\pi\) |
0.997521 | + | 0.0703717i | \(0.0224185\pi\) | |||||||
\(402\) | −6.62329 | + | 17.3726i | −0.330340 | + | 0.866465i | ||||
\(403\) | −0.595842 | + | 2.22371i | −0.0296810 | + | 0.110771i | ||||
\(404\) | −0.455866 | + | 0.459371i | −0.0226802 | + | 0.0228545i | ||||
\(405\) | −22.0501 | + | 8.50128i | −1.09568 | + | 0.422432i | ||||
\(406\) | 7.09775 | − | 7.12498i | 0.352256 | − | 0.353607i | ||||
\(407\) | −17.2906 | + | 9.98273i | −0.857063 | + | 0.494826i | ||||
\(408\) | −12.2880 | − | 27.1517i | −0.608347 | − | 1.34421i | ||||
\(409\) | 0.805810 | + | 0.465235i | 0.0398447 | + | 0.0230044i | 0.519790 | − | 0.854294i | \(-0.326010\pi\) |
−0.479945 | + | 0.877298i | \(0.659344\pi\) | |||||||
\(410\) | −6.50145 | + | 1.75541i | −0.321084 | + | 0.0866934i | ||||
\(411\) | −31.8185 | − | 23.0997i | −1.56949 | − | 1.13943i | ||||
\(412\) | −28.1684 | + | 16.4072i | −1.38776 | + | 0.808323i | ||||
\(413\) | −2.69818 | − | 2.69818i | −0.132769 | − | 0.132769i | ||||
\(414\) | −18.0451 | − | 16.1616i | −0.886868 | − | 0.794300i | ||||
\(415\) | 40.5947 | 1.99272 | ||||||||
\(416\) | 0.758679 | − | 2.94387i | 0.0371973 | − | 0.144335i | ||||
\(417\) | −14.7171 | + | 11.9266i | −0.720698 | + | 0.584047i | ||||
\(418\) | 6.99742 | − | 12.1737i | 0.342255 | − | 0.595433i | ||||
\(419\) | 15.3951 | − | 4.12510i | 0.752100 | − | 0.201525i | 0.137651 | − | 0.990481i | \(-0.456045\pi\) |
0.614449 | + | 0.788956i | \(0.289378\pi\) | |||||||
\(420\) | 4.08139 | + | 4.99709i | 0.199152 | + | 0.243833i | ||||
\(421\) | 7.85668 | + | 2.10519i | 0.382911 | + | 0.102601i | 0.445140 | − | 0.895461i | \(-0.353154\pi\) |
−0.0622284 | + | 0.998062i | \(0.519821\pi\) | |||||||
\(422\) | 9.38122 | + | 9.34537i | 0.456671 | + | 0.454925i | ||||
\(423\) | 17.3424 | + | 3.67298i | 0.843216 | + | 0.178586i | ||||
\(424\) | −24.0780 | + | 24.3562i | −1.16933 | + | 1.18284i | ||||
\(425\) | −9.98266 | + | 5.76349i | −0.484230 | + | 0.279570i | ||||
\(426\) | 4.98646 | + | 3.60553i | 0.241595 | + | 0.174688i | ||||
\(427\) | −0.124588 | − | 0.464967i | −0.00602922 | − | 0.0225013i | ||||
\(428\) | 4.64164 | + | 17.0613i | 0.224362 | + | 0.824687i | ||||
\(429\) | −1.42462 | − | 3.19661i | −0.0687815 | − | 0.154334i | ||||
\(430\) | −28.6943 | + | 16.6400i | −1.38376 | + | 0.802453i | ||||
\(431\) | −10.8262 | −0.521480 | −0.260740 | − | 0.965409i | \(-0.583966\pi\) | ||||
−0.260740 | + | 0.965409i | \(0.583966\pi\) | |||||||
\(432\) | −4.49920 | − | 20.2918i | −0.216468 | − | 0.976290i | ||||
\(433\) | 20.5356 | 0.986879 | 0.493440 | − | 0.869780i | \(-0.335739\pi\) | ||||
0.493440 | + | 0.869780i | \(0.335739\pi\) | |||||||
\(434\) | 3.71739 | − | 2.15573i | 0.178440 | − | 0.103479i | ||||
\(435\) | 18.5610 | + | 41.6476i | 0.889930 | + | 1.99685i | ||||
\(436\) | 17.4721 | − | 4.75341i | 0.836761 | − | 0.227647i | ||||
\(437\) | 3.90254 | + | 14.5645i | 0.186684 | + | 0.696714i | ||||
\(438\) | 14.6095 | + | 10.5636i | 0.698070 | + | 0.504750i | ||||
\(439\) | −24.8927 | + | 14.3718i | −1.18806 | + | 0.685928i | −0.957866 | − | 0.287216i | \(-0.907270\pi\) |
−0.230196 | + | 0.973144i | \(0.573937\pi\) | |||||||
\(440\) | 0.160379 | + | 27.9229i | 0.00764579 | + | 1.33117i | ||||
\(441\) | −6.03648 | − | 18.5322i | −0.287451 | − | 0.882487i | ||||
\(442\) | 3.27558 | + | 3.26306i | 0.155803 | + | 0.155208i | ||||
\(443\) | −12.4986 | − | 3.34900i | −0.593827 | − | 0.159116i | −0.0506256 | − | 0.998718i | \(-0.516122\pi\) |
−0.543202 | + | 0.839602i | \(0.682788\pi\) | |||||||
\(444\) | 14.2472 | − | 11.6364i | 0.676140 | − | 0.552240i | ||||
\(445\) | −4.73506 | + | 1.26875i | −0.224463 | + | 0.0601447i | ||||
\(446\) | −7.97884 | + | 13.8811i | −0.377809 | + | 0.657287i | ||||
\(447\) | 0.881958 | − | 0.714730i | 0.0417152 | − | 0.0338056i | ||||
\(448\) | −4.88143 | + | 2.89356i | −0.230626 | + | 0.136708i | ||||
\(449\) | −30.1067 | −1.42082 | −0.710412 | − | 0.703786i | \(-0.751491\pi\) | ||||
−0.710412 | + | 0.703786i | \(0.751491\pi\) | |||||||
\(450\) | −7.63891 | + | 2.50440i | −0.360102 | + | 0.118059i | ||||
\(451\) | −4.82127 | − | 4.82127i | −0.227025 | − | 0.227025i | ||||
\(452\) | −1.98174 | − | 3.40232i | −0.0932132 | − | 0.160032i | ||||
\(453\) | −8.07385 | − | 5.86148i | −0.379342 | − | 0.275396i | ||||
\(454\) | 11.2051 | − | 3.02539i | 0.525880 | − | 0.141989i | ||||
\(455\) | −0.866848 | − | 0.500475i | −0.0406385 | − | 0.0234626i | ||||
\(456\) | −4.56239 | + | 12.1060i | −0.213654 | + | 0.566915i | ||||
\(457\) | −2.00099 | + | 1.15527i | −0.0936026 | + | 0.0540415i | −0.546071 | − | 0.837739i | \(-0.683877\pi\) |
0.452468 | + | 0.891781i | \(0.350544\pi\) | |||||||
\(458\) | −15.1973 | + | 15.2556i | −0.710125 | + | 0.712850i | ||||
\(459\) | 30.0742 | + | 9.73523i | 1.40374 | + | 0.454402i | ||||
\(460\) | −21.2838 | − | 21.1215i | −0.992364 | − | 0.984794i | ||||
\(461\) | 4.52950 | − | 16.9043i | 0.210960 | − | 0.787313i | −0.776590 | − | 0.630007i | \(-0.783052\pi\) |
0.987550 | − | 0.157307i | \(-0.0502812\pi\) | |||||||
\(462\) | −2.32714 | + | 6.10399i | −0.108269 | + | 0.283983i | ||||
\(463\) | 10.2591 | − | 17.7694i | 0.476783 | − | 0.825812i | −0.522863 | − | 0.852417i | \(-0.675136\pi\) |
0.999646 | + | 0.0266044i | \(0.00846944\pi\) | |||||||
\(464\) | −38.6552 | + | 10.6756i | −1.79452 | + | 0.495601i | ||||
\(465\) | 3.05481 | + | 19.2417i | 0.141663 | + | 0.892315i | ||||
\(466\) | 9.05913 | − | 5.25344i | 0.419656 | − | 0.243361i | ||||
\(467\) | 6.49068 | + | 6.49068i | 0.300353 | + | 0.300353i | 0.841152 | − | 0.540799i | \(-0.181878\pi\) |
−0.540799 | + | 0.841152i | \(0.681878\pi\) | |||||||
\(468\) | 1.76849 | + | 2.69623i | 0.0817483 | + | 0.124633i | ||||
\(469\) | −3.80704 | + | 3.80704i | −0.175793 | + | 0.175793i | ||||
\(470\) | 21.2060 | + | 5.63863i | 0.978158 | + | 0.260090i | ||||
\(471\) | −8.53055 | − | 10.5265i | −0.393067 | − | 0.485034i | ||||
\(472\) | 4.02241 | + | 14.6742i | 0.185147 | + | 0.675435i | ||||
\(473\) | −29.0847 | − | 16.7920i | −1.33731 | − | 0.772099i | ||||
\(474\) | −0.0698096 | − | 0.00717637i | −0.00320646 | − | 0.000329622i | ||||
\(475\) | 4.83327 | + | 1.29507i | 0.221766 | + | 0.0594220i | ||||
\(476\) | −0.0330458 | − | 8.63025i | −0.00151465 | − | 0.395567i | ||||
\(477\) | −1.92771 | − | 36.2751i | −0.0882639 | − | 1.66092i | ||||
\(478\) | 6.14853 | − | 0.0117715i | 0.281227 | − | 0.000538417i | ||||
\(479\) | 10.0990 | + | 17.4920i | 0.461436 | + | 0.799231i | 0.999033 | − | 0.0439712i | \(-0.0140010\pi\) |
−0.537597 | + | 0.843202i | \(0.680668\pi\) | |||||||
\(480\) | −4.27700 | − | 25.3694i | −0.195217 | − | 1.15795i | ||||
\(481\) | −1.42690 | + | 2.47146i | −0.0650610 | + | 0.112689i | ||||
\(482\) | −14.9089 | + | 25.9375i | −0.679080 | + | 1.18142i | ||||
\(483\) | −2.85557 | − | 6.40741i | −0.129933 | − | 0.291547i | ||||
\(484\) | −5.41958 | + | 3.15673i | −0.246345 | + | 0.143488i | ||||
\(485\) | 21.0204 | − | 21.0204i | 0.954489 | − | 0.954489i | ||||
\(486\) | 19.1330 | + | 10.9512i | 0.867891 | + | 0.496754i | ||||
\(487\) | − | 1.65695i | − | 0.0750836i | −0.999295 | − | 0.0375418i | \(-0.988047\pi\) | ||
0.999295 | − | 0.0375418i | \(-0.0119527\pi\) | |||||||
\(488\) | −0.486136 | + | 1.85688i | −0.0220063 | + | 0.0840569i | ||||
\(489\) | −14.3748 | + | 37.4887i | −0.650052 | + | 1.69530i | ||||
\(490\) | −6.28879 | − | 23.2916i | −0.284098 | − | 1.05221i | ||||
\(491\) | 7.62529 | + | 28.4580i | 0.344124 | + | 1.28429i | 0.893632 | + | 0.448801i | \(0.148149\pi\) |
−0.549507 | + | 0.835489i | \(0.685185\pi\) | |||||||
\(492\) | 5.09777 | + | 3.67117i | 0.229825 | + | 0.165509i | ||||
\(493\) | 15.7855 | − | 58.9121i | 0.710941 | − | 2.65327i | ||||
\(494\) | −0.00384252 | − | 2.00703i | −0.000172883 | − | 0.0903007i | ||||
\(495\) | −22.0244 | − | 19.8017i | −0.989923 | − | 0.890020i | ||||
\(496\) | −17.1347 | + | 0.131222i | −0.769369 | + | 0.00589202i | ||||
\(497\) | 0.890955 | + | 1.54318i | 0.0399648 | + | 0.0692211i | ||||
\(498\) | −23.8988 | − | 29.3754i | −1.07093 | − | 1.31634i | ||||
\(499\) | 18.2285 | − | 4.88431i | 0.816019 | − | 0.218652i | 0.173414 | − | 0.984849i | \(-0.444520\pi\) |
0.642605 | + | 0.766197i | \(0.277853\pi\) | |||||||
\(500\) | 15.7353 | − | 4.28090i | 0.703704 | − | 0.191448i | ||||
\(501\) | 1.20135 | − | 11.4704i | 0.0536723 | − | 0.512461i | ||||
\(502\) | 17.5172 | + | 4.65779i | 0.781831 | + | 0.207887i | ||||
\(503\) | 36.2450i | 1.61609i | 0.589124 | + | 0.808043i | \(0.299473\pi\) | ||||
−0.589124 | + | 0.808043i | \(0.700527\pi\) | |||||||
\(504\) | 1.21323 | − | 5.89527i | 0.0540418 | − | 0.262596i | ||||
\(505\) | − | 0.849675i | − | 0.0378100i | ||||||
\(506\) | 7.80147 | − | 29.3400i | 0.346818 | − | 1.30432i | ||||
\(507\) | 17.8164 | + | 12.9344i | 0.791254 | + | 0.574437i | ||||
\(508\) | −9.98118 | + | 17.4418i | −0.442843 | + | 0.773855i | ||||
\(509\) | −8.17006 | + | 2.18916i | −0.362132 | + | 0.0970329i | −0.435297 | − | 0.900287i | \(-0.643357\pi\) |
0.0731652 | + | 0.997320i | \(0.476690\pi\) | |||||||
\(510\) | 36.5611 | + | 13.9389i | 1.61895 | + | 0.617225i | ||||
\(511\) | 2.61036 | + | 4.52127i | 0.115475 | + | 0.200009i | ||||
\(512\) | 22.6241 | − | 0.389868i | 0.999852 | − | 0.0172299i | ||||
\(513\) | −6.24305 | − | 12.2195i | −0.275637 | − | 0.539504i | ||||
\(514\) | −15.6569 | + | 0.0299755i | −0.690595 | + | 0.00132216i | ||||
\(515\) | 11.0770 | − | 41.3400i | 0.488112 | − | 1.82166i | ||||
\(516\) | 28.9340 | + | 10.9677i | 1.27375 | + | 0.482825i | ||||
\(517\) | 5.75009 | + | 21.4596i | 0.252889 | + | 0.943794i | ||||
\(518\) | 5.14276 | − | 1.38856i | 0.225960 | − | 0.0610097i | ||||
\(519\) | 15.1028 | − | 2.39771i | 0.662937 | − | 0.105248i | ||||
\(520\) | 2.01546 | + | 3.44504i | 0.0883839 | + | 0.151075i | ||||
\(521\) | 9.73918i | 0.426681i | 0.976978 | + | 0.213341i | \(0.0684344\pi\) | ||||
−0.976978 | + | 0.213341i | \(0.931566\pi\) | |||||||
\(522\) | 19.2101 | − | 37.9498i | 0.840803 | − | 1.66102i | ||||
\(523\) | 4.68648 | − | 4.68648i | 0.204925 | − | 0.204925i | −0.597181 | − | 0.802106i | \(-0.703713\pi\) |
0.802106 | + | 0.597181i | \(0.203713\pi\) | |||||||
\(524\) | −2.14635 | + | 8.13474i | −0.0937636 | + | 0.355368i | ||||
\(525\) | −2.31526 | − | 0.242488i | −0.101046 | − | 0.0105830i | ||||
\(526\) | −28.9799 | − | 16.6577i | −1.26358 | − | 0.726309i | ||||
\(527\) | 13.0302 | − | 22.5689i | 0.567603 | − | 0.983117i | ||||
\(528\) | 20.1113 | − | 16.5548i | 0.875233 | − | 0.720454i | ||||
\(529\) | 4.80066 | + | 8.31498i | 0.208724 | + | 0.361521i | ||||
\(530\) | −0.0860868 | − | 44.9650i | −0.00373937 | − | 1.95316i | ||||
\(531\) | −14.3849 | − | 7.31620i | −0.624250 | − | 0.317496i | ||||
\(532\) | −2.63891 | + | 2.65919i | −0.114411 | + | 0.115291i | ||||
\(533\) | −0.941380 | − | 0.252242i | −0.0407757 | − | 0.0109258i | ||||
\(534\) | 3.70571 | + | 2.67947i | 0.160362 | + | 0.115952i | ||||
\(535\) | −20.1038 | − | 11.6069i | −0.869162 | − | 0.501811i | ||||
\(536\) | 20.7048 | − | 5.67548i | 0.894310 | − | 0.245144i | ||||
\(537\) | 6.12465 | − | 15.9727i | 0.264298 | − | 0.689274i | ||||
\(538\) | 5.02070 | − | 18.8820i | 0.216458 | − | 0.814063i | ||||
\(539\) | 17.2723 | − | 17.2723i | 0.743972 | − | 0.743972i | ||||
\(540\) | 22.9586 | + | 14.7492i | 0.987983 | + | 0.634705i | ||||
\(541\) | 0.808981 | + | 0.808981i | 0.0347808 | + | 0.0347808i | 0.724283 | − | 0.689503i | \(-0.242171\pi\) |
−0.689503 | + | 0.724283i | \(0.742171\pi\) | |||||||
\(542\) | 4.35915 | + | 7.51701i | 0.187242 | + | 0.322883i | ||||
\(543\) | 23.1138 | + | 8.86285i | 0.991907 | + | 0.380341i | ||||
\(544\) | −16.9206 | + | 29.9662i | −0.725464 | + | 1.28479i | ||||
\(545\) | −11.8864 | + | 20.5879i | −0.509158 | + | 0.881887i | ||||
\(546\) | 0.148172 | + | 0.921911i | 0.00634119 | + | 0.0394542i | ||||
\(547\) | −3.77431 | + | 14.0859i | −0.161378 | + | 0.602271i | 0.837096 | + | 0.547055i | \(0.184251\pi\) |
−0.998474 | + | 0.0552156i | \(0.982415\pi\) | |||||||
\(548\) | 0.173847 | + | 45.4018i | 0.00742637 | + | 1.93947i | ||||
\(549\) | −1.11008 | − | 1.70663i | −0.0473769 | − | 0.0728373i | ||||
\(550\) | −7.13767 | − | 7.11039i | −0.304351 | − | 0.303188i | ||||
\(551\) | −22.9284 | + | 13.2377i | −0.976782 | + | 0.563945i | ||||
\(552\) | −2.75386 | + | 27.8361i | −0.117212 | + | 1.18478i | ||||
\(553\) | −0.0175994 | − | 0.0101610i | −0.000748402 | − | 0.000432090i | ||||
\(554\) | −7.69610 | − | 28.5038i | −0.326976 | − | 1.21101i | ||||
\(555\) | −2.51570 | + | 24.0198i | −0.106785 | + | 1.01958i | ||||
\(556\) | 21.1496 | + | 5.58032i | 0.896945 | + | 0.236658i | ||||
\(557\) | 1.20401 | + | 1.20401i | 0.0510155 | + | 0.0510155i | 0.732154 | − | 0.681139i | \(-0.238515\pi\) |
−0.681139 | + | 0.732154i | \(0.738515\pi\) | |||||||
\(558\) | 12.1254 | − | 13.5385i | 0.513309 | − | 0.573130i | ||||
\(559\) | −4.80040 | −0.203035 | ||||||||
\(560\) | 1.87308 | − | 7.21086i | 0.0791520 | − | 0.304714i | ||||
\(561\) | 6.21168 | + | 39.1264i | 0.262257 | + | 1.65192i | ||||
\(562\) | 14.0464 | + | 8.07387i | 0.592511 | + | 0.340576i | ||||
\(563\) | −36.5322 | + | 9.78876i | −1.53965 | + | 0.412547i | −0.926152 | − | 0.377151i | \(-0.876904\pi\) |
−0.613496 | + | 0.789698i | \(0.710237\pi\) | |||||||
\(564\) | −8.40406 | − | 18.6647i | −0.353875 | − | 0.785926i | ||||
\(565\) | 4.99325 | + | 1.33794i | 0.210068 | + | 0.0562875i | ||||
\(566\) | −2.32433 | + | 2.33325i | −0.0976989 | + | 0.0980737i | ||||
\(567\) | 3.75993 | + | 5.15920i | 0.157902 | + | 0.216666i | ||||
\(568\) | −0.0408100 | − | 7.10524i | −0.00171235 | − | 0.298129i | ||||
\(569\) | 6.58015 | − | 3.79905i | 0.275854 | − | 0.159265i | −0.355691 | − | 0.934604i | \(-0.615754\pi\) |
0.631545 | + | 0.775339i | \(0.282421\pi\) | |||||||
\(570\) | −6.94386 | − | 15.5009i | −0.290846 | − | 0.649263i | ||||
\(571\) | −0.269518 | − | 1.00586i | −0.0112790 | − | 0.0420938i | 0.960057 | − | 0.279804i | \(-0.0902696\pi\) |
−0.971336 | + | 0.237711i | \(0.923603\pi\) | |||||||
\(572\) | −2.00713 | + | 3.50740i | −0.0839225 | + | 0.146652i | ||||
\(573\) | 5.85030 | − | 8.05844i | 0.244400 | − | 0.336646i | ||||
\(574\) | 0.912601 | + | 1.57371i | 0.0380912 | + | 0.0656852i | ||||
\(575\) | 10.8189 | 0.451178 | ||||||||
\(576\) | −15.8400 | + | 18.0304i | −0.660001 | + | 0.751265i | ||||
\(577\) | 36.5164 | 1.52020 | 0.760099 | − | 0.649807i | \(-0.225150\pi\) | ||||
0.760099 | + | 0.649807i | \(0.225150\pi\) | |||||||
\(578\) | −14.1951 | − | 24.4783i | −0.590440 | − | 1.01817i | ||||
\(579\) | 15.3497 | + | 1.60764i | 0.637912 | + | 0.0668113i | ||||
\(580\) | 26.1503 | − | 45.6969i | 1.08583 | − | 1.89746i | ||||
\(581\) | −2.83825 | − | 10.5925i | −0.117750 | − | 0.439450i | ||||
\(582\) | −27.5860 | − | 2.83582i | −1.14348 | − | 0.117549i | ||||
\(583\) | 39.4269 | − | 22.7632i | 1.63290 | − | 0.942754i | ||||
\(584\) | −0.119567 | − | 20.8172i | −0.00494771 | − | 0.861423i | ||||
\(585\) | −4.14153 | − | 0.877143i | −0.171231 | − | 0.0362654i | ||||
\(586\) | −17.8927 | + | 17.9614i | −0.739142 | + | 0.741977i | ||||
\(587\) | 11.4451 | + | 3.06671i | 0.472391 | + | 0.126577i | 0.487157 | − | 0.873314i | \(-0.338034\pi\) |
−0.0147665 | + | 0.999891i | \(0.504700\pi\) | |||||||
\(588\) | −13.1521 | + | 18.2629i | −0.542382 | + | 0.753149i | ||||
\(589\) | −10.9271 | + | 2.92791i | −0.450244 | + | 0.120643i | ||||
\(590\) | −17.3192 | − | 9.95507i | −0.713019 | − | 0.409844i | ||||
\(591\) | 15.4673 | + | 5.93086i | 0.636240 | + | 0.243963i | ||||
\(592\) | −20.5588 | − | 5.34031i | −0.844962 | − | 0.219486i | ||||
\(593\) | 1.44299 | 0.0592563 | 0.0296282 | − | 0.999561i | \(-0.490568\pi\) | ||||
0.0296282 | + | 0.999561i | \(0.490568\pi\) | |||||||
\(594\) | −1.36286 | + | 27.5950i | −0.0559189 | + | 1.13224i | ||||
\(595\) | 8.01202 | + | 8.01202i | 0.328461 | + | 0.328461i | ||||
\(596\) | −1.26745 | − | 0.334415i | −0.0519166 | − | 0.0136982i | ||||
\(597\) | 7.06851 | − | 3.15020i | 0.289295 | − | 0.128929i | ||||
\(598\) | −1.13117 | − | 4.18947i | −0.0462569 | − | 0.171320i | ||||
\(599\) | 7.69747 | + | 4.44414i | 0.314510 | + | 0.181583i | 0.648943 | − | 0.760837i | \(-0.275211\pi\) |
−0.334433 | + | 0.942420i | \(0.608545\pi\) | |||||||
\(600\) | 7.54297 | + | 5.41019i | 0.307941 | + | 0.220870i | ||||
\(601\) | −31.4648 | + | 18.1662i | −1.28347 | + | 0.741015i | −0.977482 | − | 0.211019i | \(-0.932322\pi\) |
−0.305993 | + | 0.952034i | \(0.598988\pi\) | |||||||
\(602\) | 6.34812 | + | 6.32386i | 0.258730 | + | 0.257741i | ||||
\(603\) | −10.3229 | + | 20.2965i | −0.420381 | + | 0.826539i | ||||
\(604\) | 0.0441131 | + | 11.5206i | 0.00179493 | + | 0.468765i | ||||
\(605\) | 2.13121 | − | 7.95379i | 0.0866461 | − | 0.323368i | ||||
\(606\) | −0.614846 | + | 0.500218i | −0.0249764 | + | 0.0203200i | ||||
\(607\) | −20.4864 | + | 35.4835i | −0.831518 | + | 1.44023i | 0.0653163 | + | 0.997865i | \(0.479194\pi\) |
−0.896834 | + | 0.442367i | \(0.854139\pi\) | |||||||
\(608\) | 14.3919 | − | 4.00433i | 0.583667 | − | 0.162397i | ||||
\(609\) | 9.56948 | − | 7.75501i | 0.387775 | − | 0.314249i | ||||
\(610\) | −1.26420 | − | 2.18001i | −0.0511861 | − | 0.0882662i | ||||
\(611\) | 2.24547 | + | 2.24547i | 0.0908421 | + | 0.0908421i | ||||
\(612\) | −11.4376 | − | 34.6626i | −0.462337 | − | 1.40115i | ||||
\(613\) | −33.5771 | + | 33.5771i | −1.35616 | + | 1.35616i | −0.477572 | + | 0.878593i | \(0.658483\pi\) |
−0.878593 | + | 0.477572i | \(0.841517\pi\) | |||||||
\(614\) | −1.48118 | + | 5.57048i | −0.0597756 | + | 0.224806i | ||||
\(615\) | −8.14574 | + | 1.29321i | −0.328468 | + | 0.0521474i | ||||
\(616\) | 7.27478 | − | 1.99412i | 0.293109 | − | 0.0803456i | ||||
\(617\) | 20.8223 | + | 12.0218i | 0.838276 | + | 0.483979i | 0.856678 | − | 0.515852i | \(-0.172524\pi\) |
−0.0184019 | + | 0.999831i | \(0.505858\pi\) | |||||||
\(618\) | −36.4359 | + | 16.3220i | −1.46567 | + | 0.656565i | ||||
\(619\) | 6.91779 | + | 1.85362i | 0.278049 | + | 0.0745031i | 0.395149 | − | 0.918617i | \(-0.370693\pi\) |
−0.117100 | + | 0.993120i | \(0.537360\pi\) | |||||||
\(620\) | 15.8466 | − | 15.9684i | 0.636413 | − | 0.641305i | ||||
\(621\) | −19.8765 | − | 22.0264i | −0.797615 | − | 0.883889i | ||||
\(622\) | −0.0671955 | − | 35.0977i | −0.00269430 | − | 1.40729i | ||||
\(623\) | 0.662118 | + | 1.14682i | 0.0265272 | + | 0.0459464i | ||||
\(624\) | 1.30638 | − | 3.48659i | 0.0522969 | − | 0.139575i | ||||
\(625\) | −15.4419 | + | 26.7461i | −0.617675 | + | 1.06984i | ||||
\(626\) | −5.40057 | − | 3.10425i | −0.215850 | − | 0.124071i | ||||
\(627\) | 10.1031 | − | 13.9165i | 0.403481 | − | 0.555771i | ||||
\(628\) | −3.99136 | + | 15.1274i | −0.159272 | + | 0.603649i | ||||
\(629\) | 22.8430 | − | 22.8430i | 0.910810 | − | 0.910810i | ||||
\(630\) | 4.32131 | + | 6.61584i | 0.172165 | + | 0.263581i | ||||
\(631\) | 13.8491i | 0.551325i | 0.961254 | + | 0.275663i | \(0.0888973\pi\) | ||||
−0.961254 | + | 0.275663i | \(0.911103\pi\) | |||||||
\(632\) | 0.0409194 | + | 0.0699436i | 0.00162769 | + | 0.00278221i | ||||
\(633\) | 10.2108 | + | 12.5998i | 0.405841 | + | 0.500797i | ||||
\(634\) | 14.1508 | − | 3.82076i | 0.562001 | − | 0.151742i | ||||
\(635\) | −6.82860 | − | 25.4847i | −0.270985 | − | 1.01133i | ||||
\(636\) | −32.4871 | + | 26.5340i | −1.28820 | + | 1.05214i | ||||
\(637\) | 0.903663 | − | 3.37252i | 0.0358044 | − | 0.133624i | ||||
\(638\) | 53.3072 | − | 0.102058i | 2.11045 | − | 0.00404052i | ||||
\(639\) | 5.60430 | + | 5.03872i | 0.221703 | + | 0.199329i | ||||
\(640\) | −20.7230 | + | 21.2860i | −0.819147 | + | 0.841403i | ||||
\(641\) | −12.8397 | − | 22.2390i | −0.507138 | − | 0.878389i | −0.999966 | − | 0.00826230i | \(-0.997370\pi\) |
0.492828 | − | 0.870127i | \(-0.335963\pi\) | |||||||
\(642\) | 3.43638 | + | 21.3808i | 0.135623 | + | 0.843832i | ||||
\(643\) | 43.2961 | − | 11.6011i | 1.70743 | − | 0.457504i | 0.732637 | − | 0.680619i | \(-0.238289\pi\) |
0.974792 | + | 0.223115i | \(0.0716224\pi\) | |||||||
\(644\) | −4.02318 | + | 7.03038i | −0.158535 | + | 0.277036i | ||||
\(645\) | −37.1066 | + | 16.5372i | −1.46107 | + | 0.651152i | ||||
\(646\) | −5.83823 | + | 21.9566i | −0.229702 | + | 0.863873i | ||||
\(647\) | 33.1472i | 1.30315i | 0.758584 | + | 0.651575i | \(0.225892\pi\) | ||||
−0.758584 | + | 0.651575i | \(0.774108\pi\) | |||||||
\(648\) | −2.84324 | − | 25.2966i | −0.111693 | − | 0.993743i | ||||
\(649\) | − | 20.2257i | − | 0.793929i | ||||||
\(650\) | −1.39172 | − | 0.370056i | −0.0545877 | − | 0.0145148i | ||||
\(651\) | 4.80721 | − | 2.14242i | 0.188409 | − | 0.0839679i | ||||
\(652\) | 44.7354 | − | 12.1706i | 1.75197 | − | 0.476637i | ||||
\(653\) | 42.9351 | − | 11.5044i | 1.68018 | − | 0.450203i | 0.712353 | − | 0.701821i | \(-0.247629\pi\) |
0.967827 | + | 0.251618i | \(0.0809627\pi\) | |||||||
\(654\) | 21.8956 | − | 3.51913i | 0.856186 | − | 0.137609i | ||||
\(655\) | −5.52279 | − | 9.56575i | −0.215793 | − | 0.373765i | ||||
\(656\) | −0.0555509 | − | 7.25373i | −0.00216890 | − | 0.283211i | ||||
\(657\) | 16.4197 | + | 14.7626i | 0.640594 | + | 0.575946i | ||||
\(658\) | −0.0113485 | − | 5.92755i | −0.000442409 | − | 0.231080i | ||||
\(659\) | 6.31833 | − | 23.5803i | 0.246127 | − | 0.918559i | −0.726686 | − | 0.686970i | \(-0.758941\pi\) |
0.972814 | − | 0.231590i | \(-0.0743928\pi\) | |||||||
\(660\) | −3.43207 | + | 34.0264i | −0.133593 | + | 1.32448i | ||||
\(661\) | 1.11454 | + | 4.15952i | 0.0433506 | + | 0.161787i | 0.984208 | − | 0.177017i | \(-0.0566446\pi\) |
−0.940857 | + | 0.338803i | \(0.889978\pi\) | |||||||
\(662\) | −9.12409 | − | 33.7927i | −0.354618 | − | 1.31339i | ||||
\(663\) | 3.56523 | + | 4.39939i | 0.138462 | + | 0.170858i | ||||
\(664\) | −11.0747 | + | 42.3018i | −0.429782 | + | 1.64163i | ||||
\(665\) | − | 4.91858i | − | 0.190734i | ||||||
\(666\) | 18.8624 | − | 12.3204i | 0.730901 | − | 0.477407i | ||||
\(667\) | −40.4773 | + | 40.4773i | −1.56729 | + | 1.56729i | ||||
\(668\) | −11.5076 | + | 6.70279i | −0.445242 | + | 0.259339i | ||||
\(669\) | −11.5202 | + | 15.8683i | −0.445395 | + | 0.613505i | ||||
\(670\) | −14.0463 | + | 24.4367i | −0.542654 | + | 0.944074i | ||||
\(671\) | 1.27575 | − | 2.20967i | 0.0492499 | − | 0.0853033i | ||||
\(672\) | −6.32067 | + | 2.88975i | −0.243825 | + | 0.111475i | ||||
\(673\) | −5.92537 | − | 10.2630i | −0.228406 | − | 0.395611i | 0.728930 | − | 0.684589i | \(-0.240018\pi\) |
−0.957336 | + | 0.288977i | \(0.906685\pi\) | |||||||
\(674\) | −12.6822 | + | 0.0242805i | −0.488502 | + | 0.000935250i | ||||
\(675\) | −9.62828 | + | 2.05760i | −0.370593 | + | 0.0791971i | ||||
\(676\) | −0.0973434 | − | 25.4222i | −0.00374398 | − | 0.977777i | ||||
\(677\) | 27.1622 | + | 7.27808i | 1.04393 | + | 0.279719i | 0.739740 | − | 0.672893i | \(-0.234949\pi\) |
0.304187 | + | 0.952612i | \(0.401615\pi\) | |||||||
\(678\) | −1.97145 | − | 4.40091i | −0.0757130 | − | 0.169016i | ||||
\(679\) | −6.95459 | − | 4.01523i | −0.266892 | − | 0.154090i | ||||
\(680\) | −11.9442 | − | 43.5738i | −0.458040 | − | 1.67098i | ||||
\(681\) | 14.0390 | − | 2.22882i | 0.537974 | − | 0.0854085i | ||||
\(682\) | 22.0126 | + | 5.85311i | 0.842906 | + | 0.224127i | ||||
\(683\) | 21.9509 | − | 21.9509i | 0.839928 | − | 0.839928i | −0.148921 | − | 0.988849i | \(-0.547580\pi\) |
0.988849 | + | 0.148921i | \(0.0475801\pi\) | |||||||
\(684\) | −7.12890 | + | 14.1504i | −0.272580 | + | 0.541055i | ||||
\(685\) | −42.1495 | − | 42.1495i | −1.61045 | − | 1.61045i | ||||
\(686\) | −11.7123 | + | 6.79203i | −0.447178 | + | 0.259321i | ||||
\(687\) | −20.4897 | + | 16.6046i | −0.781730 | + | 0.633506i | ||||
\(688\) | −9.51158 | − | 34.4405i | −0.362626 | − | 1.31303i | ||||
\(689\) | 3.25369 | − | 5.63556i | 0.123956 | − | 0.214698i | ||||
\(690\) | −23.1764 | − | 28.4874i | −0.882311 | − | 1.08450i | ||||
\(691\) | 1.94022 | − | 7.24099i | 0.0738094 | − | 0.275460i | −0.919151 | − | 0.393905i | \(-0.871124\pi\) |
0.992961 | + | 0.118444i | \(0.0377907\pi\) | |||||||
\(692\) | −12.5335 | − | 12.4379i | −0.476452 | − | 0.472817i | ||||
\(693\) | −3.62703 | + | 7.13134i | −0.137779 | + | 0.270897i | ||||
\(694\) | −10.7584 | + | 10.7997i | −0.408385 | + | 0.409951i | ||||
\(695\) | −24.8702 | + | 14.3588i | −0.943379 | + | 0.544660i | ||||
\(696\) | −48.4625 | + | 7.97952i | −1.83697 | + | 0.302463i | ||||
\(697\) | 9.55425 | + | 5.51615i | 0.361893 | + | 0.208939i | ||||
\(698\) | 31.3636 | − | 8.46825i | 1.18713 | − | 0.320528i | ||||
\(699\) | 11.7150 | − | 5.22099i | 0.443102 | − | 0.197476i | ||||
\(700\) | 1.35293 | + | 2.32276i | 0.0511361 | + | 0.0877922i | ||||
\(701\) | 10.7494 | + | 10.7494i | 0.405998 | + | 0.405998i | 0.880341 | − | 0.474342i | \(-0.157314\pi\) |
−0.474342 | + | 0.880341i | \(0.657314\pi\) | |||||||
\(702\) | 1.80347 | + | 3.51330i | 0.0680675 | + | 0.132601i | ||||
\(703\) | −14.0233 | −0.528899 | ||||||||
\(704\) | −29.1409 | − | 7.45058i | −1.09829 | − | 0.280804i | ||||
\(705\) | 25.0929 | + | 9.62172i | 0.945052 | + | 0.362375i | ||||
\(706\) | 9.43335 | − | 16.4115i | 0.355029 | − | 0.617656i | ||||
\(707\) | −0.221707 | + | 0.0594063i | −0.00833817 | + | 0.00223421i | ||||
\(708\) | 2.99236 | + | 18.3933i | 0.112460 | + | 0.691263i | ||||
\(709\) | −37.6553 | − | 10.0897i | −1.41418 | − | 0.378927i | −0.530762 | − | 0.847521i | \(-0.678094\pi\) |
−0.883414 | + | 0.468594i | \(0.844761\pi\) | |||||||
\(710\) | 6.60894 | + | 6.58368i | 0.248029 | + | 0.247081i | ||||
\(711\) | −0.0840844 | − | 0.0178084i | −0.00315341 | − | 0.000667867i | ||||
\(712\) | −0.0303281 | − | 5.28030i | −0.00113659 | − | 0.197887i | ||||
\(713\) | −21.1825 | + | 12.2297i | −0.793289 | + | 0.458006i | ||||
\(714\) | 1.08088 | − | 10.5145i | 0.0404511 | − | 0.393496i | ||||
\(715\) | −1.37318 | − | 5.12477i | −0.0513539 | − | 0.191655i | ||||
\(716\) | −19.0603 | + | 5.18551i | −0.712318 | + | 0.193791i | ||||
\(717\) | 7.48942 | + | 0.784400i | 0.279698 | + | 0.0292940i | ||||
\(718\) | −31.6417 | + | 18.3492i | −1.18086 | + | 0.684787i | ||||
\(719\) | 5.68975 | 0.212192 | 0.106096 | − | 0.994356i | \(-0.466165\pi\) | ||||
0.106096 | + | 0.994356i | \(0.466165\pi\) | |||||||
\(720\) | −1.91302 | − | 31.4514i | −0.0712939 | − | 1.17213i | ||||
\(721\) | −11.5614 | −0.430569 | ||||||||
\(722\) | −14.7128 | + | 8.53202i | −0.547552 | + | 0.317529i | ||||
\(723\) | −21.5260 | + | 29.6508i | −0.800561 | + | 1.10273i | ||||
\(724\) | −7.50383 | − | 27.5818i | −0.278878 | − | 1.02507i | ||||
\(725\) | 4.91665 | + | 18.3492i | 0.182600 | + | 0.681472i | ||||
\(726\) | −7.01024 | + | 3.14034i | −0.260175 | + | 0.116549i | ||||
\(727\) | −26.4441 | + | 15.2675i | −0.980759 | + | 0.566241i | −0.902499 | − | 0.430692i | \(-0.858270\pi\) |
−0.0782595 | + | 0.996933i | \(0.524936\pi\) | |||||||
\(728\) | 0.758006 | − | 0.766764i | 0.0280936 | − | 0.0284182i | ||||
\(729\) | 21.8782 | + | 15.8222i | 0.810305 | + | 0.586008i | ||||
\(730\) | 19.3631 | + | 19.2891i | 0.716662 | + | 0.713923i | ||||
\(731\) | 52.4887 | + | 14.0643i | 1.94137 | + | 0.520187i | ||||
\(732\) | −0.833255 | + | 2.19822i | −0.0307980 | + | 0.0812486i | ||||
\(733\) | −4.19653 | + | 1.12446i | −0.155002 | + | 0.0415327i | −0.335486 | − | 0.942045i | \(-0.608900\pi\) |
0.180483 | + | 0.983578i | \(0.442234\pi\) | |||||||
\(734\) | −11.1578 | + | 19.4116i | −0.411842 | + | 0.716496i | ||||
\(735\) | −4.63297 | − | 29.1823i | −0.170890 | − | 1.07641i | ||||
\(736\) | 27.8161 | − | 16.4167i | 1.02532 | − | 0.605126i | ||||
\(737\) | −28.5378 | −1.05120 | ||||||||
\(738\) | 5.73134 | + | 5.13312i | 0.210973 | + | 0.188953i | ||||
\(739\) | 8.41621 | + | 8.41621i | 0.309595 | + | 0.309595i | 0.844752 | − | 0.535157i | \(-0.179748\pi\) |
−0.535157 | + | 0.844752i | \(0.679748\pi\) | |||||||
\(740\) | 24.0976 | − | 14.0361i | 0.885846 | − | 0.515976i | ||||
\(741\) | 0.256048 | − | 2.44474i | 0.00940616 | − | 0.0898097i | ||||
\(742\) | −11.7268 | + | 3.16626i | −0.430505 | + | 0.116237i | ||||
\(743\) | −19.8348 | − | 11.4516i | −0.727669 | − | 0.420120i | 0.0899001 | − | 0.995951i | \(-0.471345\pi\) |
−0.817569 | + | 0.575831i | \(0.804679\pi\) | |||||||
\(744\) | −20.8843 | − | 2.06610i | −0.765654 | − | 0.0757471i | ||||
\(745\) | 1.49041 | − | 0.860487i | 0.0546043 | − | 0.0315258i | ||||
\(746\) | −3.87210 | + | 3.88696i | −0.141768 | + | 0.142312i | ||||
\(747\) | −25.2888 | − | 38.8790i | −0.925268 | − | 1.42251i | ||||
\(748\) | 32.2225 | − | 32.4703i | 1.17817 | − | 1.18723i | ||||
\(749\) | −1.62303 | + | 6.05724i | −0.0593043 | + | 0.221327i | ||||
\(750\) | 19.7191 | − | 3.16931i | 0.720041 | − | 0.115727i | ||||
\(751\) | −9.44386 | + | 16.3572i | −0.344611 | + | 0.596885i | −0.985283 | − | 0.170930i | \(-0.945323\pi\) |
0.640672 | + | 0.767815i | \(0.278656\pi\) | |||||||
\(752\) | −11.6610 | + | 20.5594i | −0.425231 | + | 0.749723i | ||||
\(753\) | 20.7280 | + | 7.94803i | 0.755370 | + | 0.289642i | ||||
\(754\) | 6.59144 | − | 3.82242i | 0.240046 | − | 0.139204i | ||||
\(755\) | −10.6953 | − | 10.6953i | −0.389242 | − | 0.389242i | ||||
\(756\) | 2.24336 | − | 7.02186i | 0.0815901 | − | 0.255383i | ||||
\(757\) | 25.7838 | − | 25.7838i | 0.937129 | − | 0.937129i | −0.0610085 | − | 0.998137i | \(-0.519432\pi\) |
0.998137 | + | 0.0610085i | \(0.0194317\pi\) | |||||||
\(758\) | −33.4000 | − | 8.88100i | −1.21314 | − | 0.322572i | ||||
\(759\) | 13.3124 | − | 34.7179i | 0.483209 | − | 1.26018i | ||||
\(760\) | −9.70868 | + | 17.0412i | −0.352171 | + | 0.618150i | ||||
\(761\) | 8.41595 | + | 4.85895i | 0.305078 | + | 0.176137i | 0.644722 | − | 0.764417i | \(-0.276973\pi\) |
−0.339644 | + | 0.940554i | \(0.610307\pi\) | |||||||
\(762\) | −14.4212 | + | 19.9446i | −0.522427 | + | 0.722517i | ||||
\(763\) | 6.20309 | + | 1.66211i | 0.224567 | + | 0.0601726i | ||||
\(764\) | −11.4986 | + | 0.0440289i | −0.416004 | + | 0.00159291i | ||||
\(765\) | 42.7146 | + | 21.7248i | 1.54435 | + | 0.785463i | ||||
\(766\) | −12.0734 | + | 0.0231149i | −0.436230 | + | 0.000835174i | ||||
\(767\) | −1.44550 | − | 2.50368i | −0.0521940 | − | 0.0904027i | ||||
\(768\) | 27.6030 | + | 2.46423i | 0.996039 | + | 0.0889201i | ||||
\(769\) | 7.20194 | − | 12.4741i | 0.259709 | − | 0.449828i | −0.706455 | − | 0.707758i | \(-0.749707\pi\) |
0.966164 | + | 0.257929i | \(0.0830402\pi\) | |||||||
\(770\) | −4.93526 | + | 8.58604i | −0.177854 | + | 0.309419i | ||||
\(771\) | −19.0714 | − | 1.99743i | −0.686839 | − | 0.0719357i | ||||
\(772\) | −8.96966 | − | 15.3994i | −0.322825 | − | 0.554238i | ||||
\(773\) | 4.99733 | − | 4.99733i | 0.179741 | − | 0.179741i | −0.611502 | − | 0.791243i | \(-0.709434\pi\) |
0.791243 | + | 0.611502i | \(0.209434\pi\) | |||||||
\(774\) | 33.8121 | + | 17.1156i | 1.21535 | + | 0.615206i | ||||
\(775\) | 8.11694i | 0.291569i | ||||||||
\(776\) | 16.1697 | + | 27.6390i | 0.580459 | + | 0.992181i | ||||
\(777\) | 6.44343 | − | 1.02295i | 0.231157 | − | 0.0366983i | ||||
\(778\) | 11.4494 | + | 42.4049i | 0.410481 | + | 1.52029i | ||||
\(779\) | −1.23949 | − | 4.62585i | −0.0444095 | − | 0.165738i | ||||
\(780\) | 2.00697 | + | 4.45731i | 0.0718610 | + | 0.159597i | ||||
\(781\) | −2.44456 | + | 9.12320i | −0.0874731 | + | 0.326454i | ||||
\(782\) | 0.0940470 | + | 49.1228i | 0.00336312 | + | 1.75663i | ||||
\(783\) | 28.3247 | − | 43.7212i | 1.01224 | − | 1.56247i | ||||
\(784\) | 25.9867 | − | 0.199013i | 0.928096 | − | 0.00710759i | ||||
\(785\) | −10.2702 | − | 17.7885i | −0.366559 | − | 0.634900i | ||||
\(786\) | −3.67066 | + | 9.62795i | −0.130928 | + | 0.343418i | ||||
\(787\) | 8.12238 | − | 2.17639i | 0.289532 | − | 0.0775798i | −0.111130 | − | 0.993806i | \(-0.535447\pi\) |
0.400662 | + | 0.916226i | \(0.368780\pi\) | |||||||
\(788\) | −5.02142 | − | 18.4572i | −0.178881 | − | 0.657511i | ||||
\(789\) | −33.1288 | − | 24.0510i | −1.17942 | − | 0.856238i | ||||
\(790\) | −0.102817 | − | 0.0273388i | −0.00365806 | − | 0.000972671i | ||||
\(791\) | − | 1.39644i | − | 0.0496518i | ||||||
\(792\) | 26.6429 | − | 17.5484i | 0.946713 | − | 0.623555i | ||||
\(793\) | − | 0.364704i | − | 0.0129510i | ||||||
\(794\) | 8.57608 | − | 32.2532i | 0.304354 | − | 1.14462i | ||||
\(795\) | 5.73643 | − | 54.7712i | 0.203450 | − | 1.94254i | ||||
\(796\) | −7.75576 | − | 4.43828i | −0.274895 | − | 0.157311i | ||||
\(797\) | −41.0878 | + | 11.0094i | −1.45540 | + | 0.389974i | −0.897900 | − | 0.440200i | \(-0.854908\pi\) |
−0.557504 | + | 0.830174i | \(0.688241\pi\) | |||||||
\(798\) | −3.55920 | + | 2.89565i | −0.125994 | + | 0.102505i | ||||
\(799\) | −17.9737 | − | 31.1314i | −0.635864 | − | 1.10135i | ||||
\(800\) | −0.102604 | − | 10.7181i | −0.00362759 | − | 0.378943i | ||||
\(801\) | 4.16487 | + | 3.74455i | 0.147158 | + | 0.132307i | ||||
\(802\) | −24.7975 | + | 0.0474756i | −0.875632 | + | 0.00167642i | ||||
\(803\) | −7.16216 | + | 26.7295i | −0.252747 | + | 0.943265i | ||||
\(804\) | 25.9523 | − | 4.22211i | 0.915267 | − | 0.148902i | ||||
\(805\) | −2.75245 | − | 10.2723i | −0.0970111 | − | 0.362050i | ||||
\(806\) | 3.14319 | − | 0.848668i | 0.110714 | − | 0.0298930i | ||||
\(807\) | 8.56730 | − | 22.3430i | 0.301583 | − | 0.786511i | ||||
\(808\) | 0.885403 | + | 0.231801i | 0.0311484 | + | 0.00815473i | ||||
\(809\) | 14.1610i | 0.497874i | 0.968520 | + | 0.248937i | \(0.0800813\pi\) | ||||
−0.968520 | + | 0.248937i | \(0.919919\pi\) | |||||||
\(810\) | 26.0438 | + | 20.9446i | 0.915087 | + | 0.735919i | ||||
\(811\) | 2.20583 | − | 2.20583i | 0.0774570 | − | 0.0774570i | −0.667317 | − | 0.744774i | \(-0.732557\pi\) |
0.744774 | + | 0.667317i | \(0.232557\pi\) | |||||||
\(812\) | −13.7521 | − | 3.62849i | −0.482605 | − | 0.127335i | ||||
\(813\) | 4.33222 | + | 9.72076i | 0.151938 | + | 0.340922i | ||||
\(814\) | 24.4796 | + | 14.0709i | 0.858009 | + | 0.493184i | ||||
\(815\) | −30.4339 | + | 52.7130i | −1.06605 | + | 1.84646i | ||||
\(816\) | −24.4993 | + | 34.2958i | −0.857647 | + | 1.20059i | ||||
\(817\) | −11.7944 | − | 20.4284i | −0.412632 | − | 0.714700i | ||||
\(818\) | −0.00251929 | − | 1.31588i | −8.80849e−5 | − | 0.0460086i | ||||
\(819\) | 0.0606868 | + | 1.14199i | 0.00212057 | + | 0.0399042i | ||||
\(820\) | 6.76000 | + | 6.70843i | 0.236070 | + | 0.234269i | ||||
\(821\) | 13.6719 | + | 3.66337i | 0.477151 | + | 0.127852i | 0.489376 | − | 0.872073i | \(-0.337225\pi\) |
−0.0122245 | + | 0.999925i | \(0.503891\pi\) | |||||||
\(822\) | −5.68630 | + | 55.3146i | −0.198332 | + | 1.92932i | ||||
\(823\) | 22.4132 | + | 12.9403i | 0.781274 | + | 0.451069i | 0.836882 | − | 0.547384i | \(-0.184376\pi\) |
−0.0556074 | + | 0.998453i | \(0.517710\pi\) | |||||||
\(824\) | 40.0564 | + | 22.8208i | 1.39543 | + | 0.795001i | ||||
\(825\) | −7.76882 | − | 9.58652i | −0.270476 | − | 0.333760i | ||||
\(826\) | −1.38670 | + | 5.21515i | −0.0482495 | + | 0.181458i | ||||
\(827\) | −28.2321 | + | 28.2321i | −0.981726 | + | 0.981726i | −0.999836 | − | 0.0181098i | \(-0.994235\pi\) |
0.0181098 | + | 0.999836i | \(0.494235\pi\) | |||||||
\(828\) | −6.96985 | + | 33.5420i | −0.242219 | + | 1.16567i | ||||
\(829\) | 31.3884 | + | 31.3884i | 1.09016 | + | 1.09016i | 0.995510 | + | 0.0946541i | \(0.0301745\pi\) |
0.0946541 | + | 0.995510i | \(0.469825\pi\) | |||||||
\(830\) | −28.8000 | − | 49.6632i | −0.999661 | − | 1.72383i | ||||
\(831\) | −5.66974 | − | 35.7128i | −0.196681 | − | 1.23886i | ||||
\(832\) | −4.13974 | + | 1.16037i | −0.143520 | + | 0.0402285i | ||||
\(833\) | −19.7617 | + | 34.2283i | −0.684703 | + | 1.18594i | ||||
\(834\) | 25.0319 | + | 9.54340i | 0.866783 | + | 0.330461i | ||||
\(835\) | 4.52528 | − | 16.8886i | 0.156604 | − | 0.584453i | ||||
\(836\) | −19.8574 | + | 0.0760355i | −0.686784 | + | 0.00262974i | ||||
\(837\) | 16.5255 | − | 14.9125i | 0.571204 | − | 0.515451i | ||||
\(838\) | −15.9687 | − | 15.9076i | −0.551628 | − | 0.549520i | ||||
\(839\) | 23.1346 | − | 13.3567i | 0.798693 | − | 0.461126i | −0.0443206 | − | 0.999017i | \(-0.514112\pi\) |
0.843014 | + | 0.537891i | \(0.180779\pi\) | |||||||
\(840\) | 3.21784 | − | 8.53832i | 0.111026 | − | 0.294600i | ||||
\(841\) | −61.9313 | − | 35.7561i | −2.13556 | − | 1.23297i | ||||
\(842\) | −2.99846 | − | 11.1053i | −0.103334 | − | 0.382714i | ||||
\(843\) | 16.0573 | + | 11.6574i | 0.553044 | + | 0.401501i | ||||
\(844\) | 4.77751 | − | 18.1069i | 0.164449 | − | 0.623267i | ||||
\(845\) | 23.6011 | + | 23.6011i | 0.811902 | + | 0.811902i | ||||
\(846\) | −7.81009 | − | 23.8223i | −0.268516 | − | 0.819027i | ||||
\(847\) | −2.22441 | −0.0764315 | ||||||||
\(848\) | 46.8793 | + | 12.1773i | 1.60984 | + | 0.418169i | ||||
\(849\) | −3.13376 | + | 2.53957i | −0.107550 | + | 0.0871577i | ||||
\(850\) | 14.1332 | + | 8.12376i | 0.484764 | + | 0.278643i | ||||
\(851\) | −29.2872 | + | 7.84749i | −1.00395 | + | 0.269008i | ||||
\(852\) | 0.873320 | − | 8.65832i | 0.0299195 | − | 0.296629i | ||||
\(853\) | 44.1878 | + | 11.8401i | 1.51296 | + | 0.405397i | 0.917417 | − | 0.397927i | \(-0.130270\pi\) |
0.595543 | + | 0.803323i | \(0.296937\pi\) | |||||||
\(854\) | −0.480447 | + | 0.482290i | −0.0164406 | + | 0.0165036i | ||||
\(855\) | −6.44280 | − | 19.7797i | −0.220339 | − | 0.676450i | ||||
\(856\) | 17.5795 | − | 17.7826i | 0.600856 | − | 0.607798i | ||||
\(857\) | 30.8789 | − | 17.8279i | 1.05480 | − | 0.608990i | 0.130812 | − | 0.991407i | \(-0.458242\pi\) |
0.923990 | + | 0.382417i | \(0.124908\pi\) | |||||||
\(858\) | −2.90000 | + | 4.01070i | −0.0990042 | + | 0.136923i | ||||
\(859\) | 7.80095 | + | 29.1136i | 0.266165 | + | 0.993342i | 0.961533 | + | 0.274688i | \(0.0885746\pi\) |
−0.695368 | + | 0.718654i | \(0.744759\pi\) | |||||||
\(860\) | 40.7144 | + | 23.2991i | 1.38835 | + | 0.794492i | ||||
\(861\) | 0.906963 | + | 2.03507i | 0.0309092 | + | 0.0693550i | ||||
\(862\) | 7.68065 | + | 13.2447i | 0.261604 | + | 0.451115i | ||||
\(863\) | 12.6307 | 0.429956 | 0.214978 | − | 0.976619i | \(-0.431032\pi\) | ||||
0.214978 | + | 0.976619i | \(0.431032\pi\) | |||||||
\(864\) | −21.6328 | + | 19.9003i | −0.735963 | + | 0.677022i | ||||
\(865\) | 23.1826 | 0.788231 | ||||||||
\(866\) | −14.5690 | − | 25.1231i | −0.495075 | − | 0.853716i | ||||
\(867\) | −14.1074 | − | 31.6547i | −0.479114 | − | 1.07505i | ||||
\(868\) | −5.27460 | − | 3.01842i | −0.179032 | − | 0.102452i | ||||
\(869\) | −0.0278792 | − | 0.104047i | −0.000945739 | − | 0.00352954i | ||||
\(870\) | 37.7831 | − | 52.2542i | 1.28097 | − | 1.77158i | ||||
\(871\) | −3.53261 | + | 2.03955i | −0.119698 | + | 0.0691076i | ||||
\(872\) | −18.2108 | − | 18.0028i | −0.616697 | − | 0.609653i | ||||
\(873\) | −33.2268 | − | 7.03718i | −1.12456 | − | 0.238172i | ||||
\(874\) | 15.0494 | − | 15.1071i | 0.509052 | − | 0.511005i | ||||
\(875\) | 5.58649 | + | 1.49689i | 0.188858 | + | 0.0506043i | ||||
\(876\) | 2.55869 | − | 25.3675i | 0.0864501 | − | 0.857089i | ||||
\(877\) | −42.9110 | + | 11.4980i | −1.44900 | + | 0.388259i | −0.895676 | − | 0.444707i | \(-0.853308\pi\) |
−0.553325 | + | 0.832966i | \(0.686641\pi\) | |||||||
\(878\) | 35.2424 | + | 20.2573i | 1.18937 | + | 0.683652i | ||||
\(879\) | −24.1237 | + | 19.5496i | −0.813672 | + | 0.659392i | ||||
\(880\) | 34.0468 | − | 20.0062i | 1.14772 | − | 0.674407i | ||||
\(881\) | 42.7491 | 1.44025 | 0.720126 | − | 0.693843i | \(-0.244084\pi\) | ||||
0.720126 | + | 0.693843i | \(0.244084\pi\) | |||||||
\(882\) | −18.3895 | + | 20.5327i | −0.619208 | + | 0.691371i | ||||
\(883\) | 9.95115 | + | 9.95115i | 0.334883 | + | 0.334883i | 0.854437 | − | 0.519555i | \(-0.173902\pi\) |
−0.519555 | + | 0.854437i | \(0.673902\pi\) | |||||||
\(884\) | 1.66813 | − | 6.32229i | 0.0561054 | − | 0.212642i | ||||
\(885\) | −19.7987 | − | 14.3735i | −0.665525 | − | 0.483161i | ||||
\(886\) | 4.77003 | + | 17.6666i | 0.160252 | + | 0.593522i | ||||
\(887\) | −44.4891 | − | 25.6858i | −1.49380 | − | 0.862445i | −0.493824 | − | 0.869562i | \(-0.664401\pi\) |
−0.999975 | + | 0.00711642i | \(0.997735\pi\) | |||||||
\(888\) | −24.3435 | − | 9.17436i | −0.816915 | − | 0.307871i | ||||
\(889\) | −6.17234 | + | 3.56361i | −0.207014 | + | 0.119519i | ||||
\(890\) | 4.91147 | + | 4.89270i | 0.164633 | + | 0.164004i | ||||
\(891\) | −5.24452 | + | 33.4291i | −0.175698 | + | 1.11992i | ||||
\(892\) | 22.6425 | − | 0.0866998i | 0.758127 | − | 0.00290292i | ||||
\(893\) | −4.03874 | + | 15.0728i | −0.135151 | + | 0.504392i | ||||
\(894\) | −1.50010 | − | 0.571912i | −0.0501708 | − | 0.0191276i | ||||
\(895\) | 12.9669 | − | 22.4594i | 0.433436 | − | 0.750734i | ||||
\(896\) | 7.00308 | + | 3.91905i | 0.233956 | + | 0.130926i | ||||
\(897\) | −0.833335 | − | 5.24904i | −0.0278242 | − | 0.175260i | ||||
\(898\) | 21.3592 | + | 36.8322i | 0.712766 | + | 1.22911i | ||||
\(899\) | −30.3684 | − | 30.3684i | −1.01284 | − | 1.01284i | ||||
\(900\) | 8.48328 | + | 7.56861i | 0.282776 | + | 0.252287i | ||||
\(901\) | −52.0879 | + | 52.0879i | −1.73530 | + | 1.73530i | ||||
\(902\) | −2.47784 | + | 9.31875i | −0.0825030 | + | 0.310280i | ||||
\(903\) | 6.90946 | + | 8.52609i | 0.229932 | + | 0.283731i | ||||
\(904\) | −2.75642 | + | 4.83821i | −0.0916770 | + | 0.160917i | ||||
\(905\) | 32.5004 | + | 18.7641i | 1.08035 | + | 0.623741i | ||||
\(906\) | −1.44288 | + | 14.0359i | −0.0479364 | + | 0.466311i | ||||
\(907\) | −25.3876 | − | 6.80259i | −0.842981 | − | 0.225876i | −0.188612 | − | 0.982052i | \(-0.560399\pi\) |
−0.654369 | + | 0.756175i | \(0.727066\pi\) | |||||||
\(908\) | −11.6507 | − | 11.5618i | −0.386641 | − | 0.383692i | ||||
\(909\) | −0.813763 | + | 0.529311i | −0.0269908 | + | 0.0175561i | ||||
\(910\) | 0.00271012 | + | 1.41555i | 8.98396e−5 | + | 0.0469252i | ||||
\(911\) | 0.579270 | + | 1.00332i | 0.0191921 | + | 0.0332416i | 0.875462 | − | 0.483287i | \(-0.160557\pi\) |
−0.856270 | + | 0.516529i | \(0.827224\pi\) | |||||||
\(912\) | 18.0471 | − | 3.00702i | 0.597600 | − | 0.0995723i | ||||
\(913\) | 29.0631 | − | 50.3387i | 0.961847 | − | 1.66597i | ||||
\(914\) | 2.83296 | + | 1.62838i | 0.0937059 | + | 0.0538622i | ||||
\(915\) | −1.25639 | − | 2.81913i | −0.0415351 | − | 0.0931975i | ||||
\(916\) | 29.4454 | + | 7.76914i | 0.972902 | + | 0.256700i | ||||
\(917\) | −2.10988 | + | 2.10988i | −0.0696743 | + | 0.0696743i | ||||
\(918\) | −9.42619 | − | 43.6991i | −0.311111 | − | 1.44229i | ||||
\(919\) | − | 43.3055i | − | 1.42852i | −0.699882 | − | 0.714259i | \(-0.746764\pi\) | ||
0.699882 | − | 0.714259i | \(-0.253236\pi\) | |||||||
\(920\) | −10.7399 | + | 41.0231i | −0.354085 | + | 1.35249i | ||||
\(921\) | −2.52748 | + | 6.59152i | −0.0832833 | + | 0.217198i | ||||
\(922\) | −23.8940 | + | 6.45144i | −0.786908 | + | 0.212467i | ||||
\(923\) | 0.349417 | + | 1.30404i | 0.0115012 | + | 0.0429231i | ||||
\(924\) | 9.11854 | − | 1.48347i | 0.299978 | − | 0.0488027i | ||||
\(925\) | −2.60422 | + | 9.71906i | −0.0856261 | + | 0.319561i | ||||
\(926\) | −29.0172 | + | 0.0555542i | −0.953564 | + | 0.00182563i | ||||
\(927\) | −46.4933 | + | 15.1442i | −1.52704 | + | 0.497401i | ||||
\(928\) | 40.4843 | + | 39.7166i | 1.32896 | + | 1.30376i | ||||
\(929\) | −3.69756 | − | 6.40436i | −0.121313 | − | 0.210120i | 0.798973 | − | 0.601367i | \(-0.205377\pi\) |
−0.920286 | + | 0.391247i | \(0.872044\pi\) | |||||||
\(930\) | 21.3729 | − | 17.3883i | 0.700845 | − | 0.570184i | ||||
\(931\) | 16.5722 | − | 4.44051i | 0.543133 | − | 0.145532i | ||||
\(932\) | −12.8540 | − | 7.35578i | −0.421047 | − | 0.240947i | ||||
\(933\) | 4.47760 | − | 42.7520i | 0.146590 | − | 1.39964i | ||||
\(934\) | 3.33581 | − | 12.5454i | 0.109151 | − | 0.410500i | ||||
\(935\) | 60.0586i | 1.96413i | ||||||||
\(936\) | 2.04388 | − | 4.07639i | 0.0668064 | − | 0.133241i | ||||
\(937\) | − | 41.4673i | − | 1.35468i | −0.735672 | − | 0.677338i | \(-0.763133\pi\) | ||
0.735672 | − | 0.677338i | \(-0.236867\pi\) | |||||||
\(938\) | 7.35840 | + | 1.95659i | 0.240260 | + | 0.0638848i | ||||
\(939\) | −6.17375 | − | 4.48204i | −0.201473 | − | 0.146266i | ||||
\(940\) | −8.14634 | − | 29.9434i | −0.265704 | − | 0.976648i | ||||
\(941\) | 57.6229 | − | 15.4400i | 1.87845 | − | 0.503330i | 0.878793 | − | 0.477203i | \(-0.158349\pi\) |
0.999659 | − | 0.0261263i | \(-0.00831721\pi\) | |||||||
\(942\) | −6.82597 | + | 17.9042i | −0.222402 | + | 0.583350i | ||||
\(943\) | −5.17728 | − | 8.96732i | −0.168596 | − | 0.292016i | ||||
\(944\) | 15.0985 | − | 15.3316i | 0.491416 | − | 0.499001i | ||||
\(945\) | 4.40320 | + | 8.61837i | 0.143236 | + | 0.280356i | ||||
\(946\) | 0.0909304 | + | 47.4950i | 0.00295640 | + | 1.54419i | ||||
\(947\) | −5.07419 | + | 18.9371i | −0.164889 | + | 0.615375i | 0.833165 | + | 0.553024i | \(0.186526\pi\) |
−0.998054 | + | 0.0623504i | \(0.980140\pi\) | |||||||
\(948\) | 0.0407469 | + | 0.0904956i | 0.00132340 | + | 0.00293916i | ||||
\(949\) | 1.02374 | + | 3.82064i | 0.0332319 | + | 0.124023i | ||||
\(950\) | −1.84459 | − | 6.83176i | −0.0598464 | − | 0.221652i | ||||
\(951\) | 17.7297 | − | 2.81476i | 0.574926 | − | 0.0912750i | ||||
\(952\) | −10.5347 | + | 6.16316i | −0.341432 | + | 0.199749i | ||||
\(953\) | − | 48.5032i | − | 1.57117i | −0.618752 | − | 0.785586i | \(-0.712362\pi\) | ||
0.618752 | − | 0.785586i | \(-0.287638\pi\) | |||||||
\(954\) | −43.0110 | + | 28.0937i | −1.39253 | + | 0.909568i | ||||
\(955\) | 10.6749 | − | 10.6749i | 0.345431 | − | 0.345431i | ||||
\(956\) | −4.37647 | − | 7.51369i | −0.141545 | − | 0.243010i | ||||
\(957\) | 64.9327 | + | 6.80069i | 2.09898 | + | 0.219835i | ||||
\(958\) | 14.2348 | − | 24.7648i | 0.459905 | − | 0.800113i | ||||
\(959\) | −8.05121 | + | 13.9451i | −0.259987 | + | 0.450311i | ||||
\(960\) | −28.0024 | + | 23.2308i | −0.903773 | + | 0.749770i | ||||
\(961\) | 6.32457 | + | 10.9545i | 0.204018 | + | 0.353370i | ||||
\(962\) | 4.03588 | − | 0.00772680i | 0.130122 | − | 0.000249122i | ||||
\(963\) | 1.40744 | + | 26.4847i | 0.0453540 | + | 0.853458i | ||||
\(964\) | 42.3087 | − | 0.162003i | 1.36267 | − | 0.00521776i | ||||
\(965\) | 22.6002 | + | 6.05572i | 0.727527 | + | 0.194940i | ||||
\(966\) | −5.81287 | + | 8.03921i | −0.187026 | + | 0.258657i | ||||
\(967\) | −21.1523 | − | 12.2123i | −0.680212 | − | 0.392721i | 0.119723 | − | 0.992807i | \(-0.461799\pi\) |
−0.799935 | + | 0.600087i | \(0.795133\pi\) | |||||||
\(968\) | 7.70683 | + | 4.39072i | 0.247707 | + | 0.141123i | ||||
\(969\) | −9.96233 | + | 25.9812i | −0.320036 | + | 0.834635i | ||||
\(970\) | −40.6291 | − | 10.8032i | −1.30452 | − | 0.346870i | ||||
\(971\) | −23.3101 | + | 23.3101i | −0.748056 | + | 0.748056i | −0.974114 | − | 0.226058i | \(-0.927416\pi\) |
0.226058 | + | 0.974114i | \(0.427416\pi\) | |||||||
\(972\) | −0.176403 | − | 31.1764i | −0.00565814 | − | 0.999984i | ||||
\(973\) | 5.48551 | + | 5.48551i | 0.175857 | + | 0.175857i | ||||
\(974\) | −2.02709 | + | 1.17552i | −0.0649523 | + | 0.0376662i | ||||
\(975\) | −1.64681 | − | 0.631461i | −0.0527402 | − | 0.0202229i | ||||
\(976\) | 2.61657 | − | 0.722630i | 0.0837545 | − | 0.0231308i | ||||
\(977\) | −2.47977 | + | 4.29508i | −0.0793348 | + | 0.137412i | −0.902963 | − | 0.429718i | \(-0.858613\pi\) |
0.823628 | + | 0.567130i | \(0.191946\pi\) | |||||||
\(978\) | 56.0614 | − | 9.01035i | 1.79265 | − | 0.288119i | ||||
\(979\) | −1.81668 | + | 6.77995i | −0.0580614 | + | 0.216688i | ||||
\(980\) | −24.0331 | + | 24.2179i | −0.767710 | + | 0.773611i | ||||
\(981\) | 27.1224 | − | 1.44133i | 0.865952 | − | 0.0460180i | ||||
\(982\) | 29.4054 | − | 29.5182i | 0.938364 | − | 0.941964i | ||||
\(983\) | 9.31801 | − | 5.37975i | 0.297198 | − | 0.171588i | −0.343985 | − | 0.938975i | \(-0.611777\pi\) |
0.641184 | + | 0.767388i | \(0.278444\pi\) | |||||||
\(984\) | 0.874658 | − | 8.84107i | 0.0278831 | − | 0.281843i | ||||
\(985\) | 21.7487 | + | 12.5566i | 0.692971 | + | 0.400087i | ||||
\(986\) | −83.2714 | + | 22.4835i | −2.65190 | + | 0.716019i | ||||
\(987\) | 0.756209 | − | 7.22026i | 0.0240704 | − | 0.229823i | ||||
\(988\) | −2.45266 | + | 1.42859i | −0.0780294 | + | 0.0454496i | ||||
\(989\) | −36.0640 | − | 36.0640i | −1.14677 | − | 1.14677i | ||||
\(990\) | −8.59996 | + | 40.9927i | −0.273325 | + | 1.30283i | ||||
\(991\) | 29.6031 | 0.940375 | 0.470187 | − | 0.882567i | \(-0.344186\pi\) | ||||
0.470187 | + | 0.882567i | \(0.344186\pi\) | |||||||
\(992\) | 12.3167 | + | 20.8693i | 0.391056 | + | 0.662600i | ||||
\(993\) | −6.72175 | − | 42.3392i | −0.213308 | − | 1.34359i | ||||
\(994\) | 1.25582 | − | 2.18479i | 0.0398322 | − | 0.0692975i | ||||
\(995\) | 11.3322 | − | 3.03644i | 0.359253 | − | 0.0962616i | ||||
\(996\) | −18.9825 | + | 50.0779i | −0.601483 | + | 1.58678i | ||||
\(997\) | 15.6499 | + | 4.19338i | 0.495637 | + | 0.132806i | 0.497975 | − | 0.867192i | \(-0.334077\pi\) |
−0.00233721 | + | 0.999997i | \(0.500744\pi\) | |||||||
\(998\) | −18.9076 | − | 18.8354i | −0.598510 | − | 0.596223i | ||||
\(999\) | 24.5718 | − | 12.5539i | 0.777416 | − | 0.397189i |
(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 | 144.2.x.e.13.4 | ✓ | 72 | |
3.2 | odd | 2 | 432.2.y.e.253.15 | 72 | |||
4.3 | odd | 2 | 576.2.bb.e.337.12 | 72 | |||
9.2 | odd | 6 | 432.2.y.e.397.11 | 72 | |||
9.7 | even | 3 | inner | 144.2.x.e.61.8 | yes | 72 | |
12.11 | even | 2 | 1728.2.bc.e.145.13 | 72 | |||
16.5 | even | 4 | inner | 144.2.x.e.85.8 | yes | 72 | |
16.11 | odd | 4 | 576.2.bb.e.49.15 | 72 | |||
36.7 | odd | 6 | 576.2.bb.e.529.15 | 72 | |||
36.11 | even | 6 | 1728.2.bc.e.721.6 | 72 | |||
48.5 | odd | 4 | 432.2.y.e.37.11 | 72 | |||
48.11 | even | 4 | 1728.2.bc.e.1009.6 | 72 | |||
144.11 | even | 12 | 1728.2.bc.e.1585.13 | 72 | |||
144.43 | odd | 12 | 576.2.bb.e.241.12 | 72 | |||
144.101 | odd | 12 | 432.2.y.e.181.15 | 72 | |||
144.133 | even | 12 | inner | 144.2.x.e.133.4 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.x.e.13.4 | ✓ | 72 | 1.1 | even | 1 | trivial | |
144.2.x.e.61.8 | yes | 72 | 9.7 | even | 3 | inner | |
144.2.x.e.85.8 | yes | 72 | 16.5 | even | 4 | inner | |
144.2.x.e.133.4 | yes | 72 | 144.133 | even | 12 | inner | |
432.2.y.e.37.11 | 72 | 48.5 | odd | 4 | |||
432.2.y.e.181.15 | 72 | 144.101 | odd | 12 | |||
432.2.y.e.253.15 | 72 | 3.2 | odd | 2 | |||
432.2.y.e.397.11 | 72 | 9.2 | odd | 6 | |||
576.2.bb.e.49.15 | 72 | 16.11 | odd | 4 | |||
576.2.bb.e.241.12 | 72 | 144.43 | odd | 12 | |||
576.2.bb.e.337.12 | 72 | 4.3 | odd | 2 | |||
576.2.bb.e.529.15 | 72 | 36.7 | odd | 6 | |||
1728.2.bc.e.145.13 | 72 | 12.11 | even | 2 | |||
1728.2.bc.e.721.6 | 72 | 36.11 | even | 6 | |||
1728.2.bc.e.1009.6 | 72 | 48.11 | even | 4 | |||
1728.2.bc.e.1585.13 | 72 | 144.11 | even | 12 |