Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(67,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 6, 3, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.br (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: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(176\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 67.15 | ||
Character | \(\chi\) | \(=\) | 280.67 |
Dual form | 280.2.br.a.163.15 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.784588 | − | 1.17661i | −0.554787 | − | 0.831992i | ||||
\(3\) | −0.0488512 | − | 0.182315i | −0.0282043 | − | 0.105260i | 0.950389 | − | 0.311064i | \(-0.100686\pi\) |
−0.978593 | + | 0.205805i | \(0.934019\pi\) | |||||||
\(4\) | −0.768843 | + | 1.84632i | −0.384422 | + | 0.923158i | ||||
\(5\) | −0.546472 | − | 2.16826i | −0.244390 | − | 0.969677i | ||||
\(6\) | −0.176187 | + | 0.200521i | −0.0719279 | + | 0.0818625i | ||||
\(7\) | 1.82312 | + | 1.91735i | 0.689076 | + | 0.724689i | ||||
\(8\) | 2.77563 | − | 0.543964i | 0.981332 | − | 0.192320i | ||||
\(9\) | 2.56722 | − | 1.48219i | 0.855741 | − | 0.494062i | ||||
\(10\) | −2.12246 | + | 2.34418i | −0.671179 | + | 0.741295i | ||||
\(11\) | 1.05669 | − | 1.83024i | 0.318603 | − | 0.551837i | −0.661593 | − | 0.749863i | \(-0.730120\pi\) |
0.980197 | + | 0.198025i | \(0.0634529\pi\) | |||||||
\(12\) | 0.374170 | + | 0.0499771i | 0.108014 | + | 0.0144272i | ||||
\(13\) | −3.49501 | − | 3.49501i | −0.969341 | − | 0.969341i | 0.0302030 | − | 0.999544i | \(-0.490385\pi\) |
−0.999544 | + | 0.0302030i | \(0.990385\pi\) | |||||||
\(14\) | 0.825575 | − | 3.64944i | 0.220644 | − | 0.975354i | ||||
\(15\) | −0.368612 | + | 0.205553i | −0.0951752 | + | 0.0530734i | ||||
\(16\) | −2.81776 | − | 2.83905i | −0.704440 | − | 0.709764i | ||||
\(17\) | −3.56637 | + | 0.955607i | −0.864972 | + | 0.231769i | −0.663913 | − | 0.747810i | \(-0.731105\pi\) |
−0.201060 | + | 0.979579i | \(0.564439\pi\) | |||||||
\(18\) | −3.75818 | − | 1.85773i | −0.885811 | − | 0.437870i | ||||
\(19\) | 0.681461 | − | 0.393442i | 0.156338 | − | 0.0902618i | −0.419790 | − | 0.907621i | \(-0.637896\pi\) |
0.576128 | + | 0.817359i | \(0.304563\pi\) | |||||||
\(20\) | 4.42345 | + | 0.658096i | 0.989113 | + | 0.147155i | ||||
\(21\) | 0.260500 | − | 0.426048i | 0.0568457 | − | 0.0929714i | ||||
\(22\) | −2.98255 | + | 0.192668i | −0.635881 | + | 0.0410769i | ||||
\(23\) | 2.28131 | − | 8.51398i | 0.475687 | − | 1.77529i | −0.143079 | − | 0.989711i | \(-0.545700\pi\) |
0.618766 | − | 0.785576i | \(-0.287633\pi\) | |||||||
\(24\) | −0.234766 | − | 0.479466i | −0.0479214 | − | 0.0978706i | ||||
\(25\) | −4.40274 | + | 2.36979i | −0.880547 | + | 0.473958i | ||||
\(26\) | −1.37014 | + | 6.85442i | −0.268706 | + | 1.34426i | ||||
\(27\) | −0.796030 | − | 0.796030i | −0.153196 | − | 0.153196i | ||||
\(28\) | −4.94172 | + | 1.89192i | −0.933898 | + | 0.357540i | ||||
\(29\) | 6.68638 | 1.24163 | 0.620814 | − | 0.783958i | \(-0.286802\pi\) | ||||
0.620814 | + | 0.783958i | \(0.286802\pi\) | |||||||
\(30\) | 0.531065 | + | 0.272440i | 0.0969587 | + | 0.0497405i | ||||
\(31\) | 3.12563 | + | 1.80459i | 0.561380 | + | 0.324113i | 0.753699 | − | 0.657219i | \(-0.228268\pi\) |
−0.192319 | + | 0.981332i | \(0.561601\pi\) | |||||||
\(32\) | −1.12969 | + | 5.54290i | −0.199703 | + | 0.979856i | ||||
\(33\) | −0.385301 | − | 0.103241i | −0.0670722 | − | 0.0179720i | ||||
\(34\) | 3.92251 | + | 3.44649i | 0.672706 | + | 0.591068i | ||||
\(35\) | 3.16103 | − | 5.00079i | 0.534311 | − | 0.845288i | ||||
\(36\) | 0.762792 | + | 5.87947i | 0.127132 | + | 0.979912i | ||||
\(37\) | −3.30342 | − | 0.885149i | −0.543079 | − | 0.145518i | −0.0231578 | − | 0.999732i | \(-0.507372\pi\) |
−0.519921 | + | 0.854214i | \(0.674039\pi\) | |||||||
\(38\) | −0.997596 | − | 0.493128i | −0.161831 | − | 0.0799959i | ||||
\(39\) | −0.466458 | + | 0.807929i | −0.0746930 | + | 0.129372i | ||||
\(40\) | −2.69626 | − | 5.72103i | −0.426316 | − | 0.904574i | ||||
\(41\) | −1.47694 | −0.230659 | −0.115330 | − | 0.993327i | \(-0.536792\pi\) | ||||
−0.115330 | + | 0.993327i | \(0.536792\pi\) | |||||||
\(42\) | −0.705679 | + | 0.0277647i | −0.108889 | + | 0.00428419i | ||||
\(43\) | −1.31725 | + | 1.31725i | −0.200878 | + | 0.200878i | −0.800376 | − | 0.599498i | \(-0.795367\pi\) |
0.599498 | + | 0.800376i | \(0.295367\pi\) | |||||||
\(44\) | 2.56677 | + | 3.35814i | 0.386955 | + | 0.506259i | ||||
\(45\) | −4.61669 | − | 4.75644i | −0.688215 | − | 0.709049i | ||||
\(46\) | −11.8076 | + | 3.99574i | −1.74093 | + | 0.589139i | ||||
\(47\) | 4.34971 | + | 1.16550i | 0.634470 | + | 0.170006i | 0.561698 | − | 0.827343i | \(-0.310148\pi\) |
0.0727730 | + | 0.997349i | \(0.476815\pi\) | |||||||
\(48\) | −0.379952 | + | 0.652412i | −0.0548414 | + | 0.0941676i | ||||
\(49\) | −0.352432 | + | 6.99112i | −0.0503474 | + | 0.998732i | ||||
\(50\) | 6.24266 | + | 3.32101i | 0.882846 | + | 0.469662i | ||||
\(51\) | 0.348443 | + | 0.603522i | 0.0487918 | + | 0.0845099i | ||||
\(52\) | 9.14000 | − | 3.76577i | 1.26749 | − | 0.522219i | ||||
\(53\) | −1.40429 | + | 0.376278i | −0.192894 | + | 0.0516857i | −0.353973 | − | 0.935256i | \(-0.615169\pi\) |
0.161079 | + | 0.986942i | \(0.448503\pi\) | |||||||
\(54\) | −0.312065 | + | 1.56118i | −0.0424666 | + | 0.212449i | ||||
\(55\) | −4.54589 | − | 1.29101i | −0.612967 | − | 0.174079i | ||||
\(56\) | 6.10328 | + | 4.33012i | 0.815585 | + | 0.578637i | ||||
\(57\) | −0.105021 | − | 0.105021i | −0.0139103 | − | 0.0139103i | ||||
\(58\) | −5.24605 | − | 7.86729i | −0.688840 | − | 1.03303i | ||||
\(59\) | 5.46829 | + | 3.15712i | 0.711911 | + | 0.411022i | 0.811768 | − | 0.583980i | \(-0.198505\pi\) |
−0.0998571 | + | 0.995002i | \(0.531839\pi\) | |||||||
\(60\) | −0.0961100 | − | 0.838611i | −0.0124077 | − | 0.108264i | ||||
\(61\) | 0.644970 | − | 0.372373i | 0.0825799 | − | 0.0476775i | −0.458141 | − | 0.888879i | \(-0.651485\pi\) |
0.540721 | + | 0.841202i | \(0.318151\pi\) | |||||||
\(62\) | −0.329033 | − | 5.09352i | −0.0417872 | − | 0.646878i | ||||
\(63\) | 7.52224 | + | 2.22004i | 0.947713 | + | 0.279699i | ||||
\(64\) | 7.40821 | − | 3.01968i | 0.926026 | − | 0.377460i | ||||
\(65\) | −5.66818 | + | 9.48802i | −0.703051 | + | 1.17684i | ||||
\(66\) | 0.180827 | + | 0.534352i | 0.0222583 | + | 0.0657742i | ||||
\(67\) | 11.8811 | − | 3.18352i | 1.45150 | − | 0.388929i | 0.554958 | − | 0.831879i | \(-0.312734\pi\) |
0.896547 | + | 0.442949i | \(0.146068\pi\) | |||||||
\(68\) | 0.977631 | − | 7.31936i | 0.118555 | − | 0.887603i | ||||
\(69\) | −1.66367 | −0.200283 | ||||||||
\(70\) | −8.36411 | + | 0.204252i | −0.999702 | + | 0.0244128i | ||||
\(71\) | 8.25143i | 0.979265i | 0.871929 | + | 0.489632i | \(0.162869\pi\) | ||||
−0.871929 | + | 0.489632i | \(0.837131\pi\) | |||||||
\(72\) | 6.31940 | − | 5.51048i | 0.744748 | − | 0.649416i | ||||
\(73\) | 2.92836 | + | 10.9288i | 0.342739 | + | 1.27912i | 0.895232 | + | 0.445600i | \(0.147010\pi\) |
−0.552493 | + | 0.833517i | \(0.686324\pi\) | |||||||
\(74\) | 1.55035 | + | 4.58133i | 0.180224 | + | 0.532569i | ||||
\(75\) | 0.647128 | + | 0.686919i | 0.0747239 | + | 0.0793186i | ||||
\(76\) | 0.202481 | + | 1.56069i | 0.0232261 | + | 0.179023i | ||||
\(77\) | 5.43567 | − | 1.31071i | 0.619452 | − | 0.149370i | ||||
\(78\) | 1.31660 | − | 0.0850501i | 0.149075 | − | 0.00963002i | ||||
\(79\) | 3.89784 | + | 6.75126i | 0.438541 | + | 0.759576i | 0.997577 | − | 0.0695677i | \(-0.0221620\pi\) |
−0.559036 | + | 0.829143i | \(0.688829\pi\) | |||||||
\(80\) | −4.61599 | + | 7.66111i | −0.516084 | + | 0.856538i | ||||
\(81\) | 4.34032 | − | 7.51766i | 0.482258 | − | 0.835295i | ||||
\(82\) | 1.15879 | + | 1.73779i | 0.127967 | + | 0.191907i | ||||
\(83\) | −8.14658 | + | 8.14658i | −0.894203 | + | 0.894203i | −0.994916 | − | 0.100712i | \(-0.967888\pi\) |
0.100712 | + | 0.994916i | \(0.467888\pi\) | |||||||
\(84\) | 0.586336 | + | 0.808529i | 0.0639745 | + | 0.0882177i | ||||
\(85\) | 4.02093 | + | 7.21063i | 0.436131 | + | 0.782102i | ||||
\(86\) | 2.58339 | + | 0.516395i | 0.278574 | + | 0.0556843i | ||||
\(87\) | −0.326638 | − | 1.21903i | −0.0350192 | − | 0.130694i | ||||
\(88\) | 1.93739 | − | 5.65486i | 0.206526 | − | 0.602810i | ||||
\(89\) | 4.78185 | − | 2.76080i | 0.506875 | − | 0.292644i | −0.224673 | − | 0.974434i | \(-0.572132\pi\) |
0.731548 | + | 0.681790i | \(0.238798\pi\) | |||||||
\(90\) | −1.97430 | + | 9.16391i | −0.208110 | + | 0.965961i | ||||
\(91\) | 0.329304 | − | 13.0730i | 0.0345204 | − | 1.37042i | ||||
\(92\) | 13.9655 | + | 10.7579i | 1.45601 | + | 1.12159i | ||||
\(93\) | 0.176312 | − | 0.658007i | 0.0182827 | − | 0.0682321i | ||||
\(94\) | −2.04138 | − | 6.03237i | −0.210553 | − | 0.622192i | ||||
\(95\) | −1.22549 | − | 1.26258i | −0.125732 | − | 0.129538i | ||||
\(96\) | 1.06574 | − | 0.0648174i | 0.108772 | − | 0.00661540i | ||||
\(97\) | −12.2803 | − | 12.2803i | −1.24687 | − | 1.24687i | −0.957094 | − | 0.289777i | \(-0.906419\pi\) |
−0.289777 | − | 0.957094i | \(-0.593581\pi\) | |||||||
\(98\) | 8.50237 | − | 5.07047i | 0.858869 | − | 0.512195i | ||||
\(99\) | − | 6.26484i | − | 0.629640i | ||||||
\(100\) | −0.990365 | − | 9.95084i | −0.0990365 | − | 0.995084i | ||||
\(101\) | −13.0515 | − | 7.53531i | −1.29868 | − | 0.749792i | −0.318502 | − | 0.947922i | \(-0.603180\pi\) |
−0.980176 | + | 0.198131i | \(0.936513\pi\) | |||||||
\(102\) | 0.436728 | − | 0.883500i | 0.0432425 | − | 0.0874795i | ||||
\(103\) | −3.53286 | + | 13.1848i | −0.348103 | + | 1.29914i | 0.540842 | + | 0.841124i | \(0.318106\pi\) |
−0.888945 | + | 0.458014i | \(0.848561\pi\) | |||||||
\(104\) | −11.6020 | − | 7.79968i | −1.13767 | − | 0.764821i | ||||
\(105\) | −1.06614 | − | 0.332008i | −0.104045 | − | 0.0324007i | ||||
\(106\) | 1.54452 | + | 1.35708i | 0.150017 | + | 0.131812i | ||||
\(107\) | −3.78858 | + | 14.1392i | −0.366256 | + | 1.36689i | 0.499455 | + | 0.866340i | \(0.333534\pi\) |
−0.865710 | + | 0.500545i | \(0.833133\pi\) | |||||||
\(108\) | 2.08174 | − | 0.857699i | 0.200316 | − | 0.0825322i | ||||
\(109\) | −4.27312 | + | 7.40125i | −0.409290 | + | 0.708912i | −0.994810 | − | 0.101746i | \(-0.967557\pi\) |
0.585520 | + | 0.810658i | \(0.300890\pi\) | |||||||
\(110\) | 2.04763 | + | 6.36166i | 0.195234 | + | 0.606561i | ||||
\(111\) | 0.645505i | 0.0612686i | ||||||||
\(112\) | 0.306323 | − | 10.5786i | 0.0289448 | − | 0.999581i | ||||
\(113\) | 8.87860 | − | 8.87860i | 0.835228 | − | 0.835228i | −0.152998 | − | 0.988226i | \(-0.548893\pi\) |
0.988226 | + | 0.152998i | \(0.0488929\pi\) | |||||||
\(114\) | −0.0411709 | + | 0.205967i | −0.00385601 | + | 0.0192906i | ||||
\(115\) | −19.7072 | − | 0.293840i | −1.83771 | − | 0.0274007i | ||||
\(116\) | −5.14078 | + | 12.3452i | −0.477309 | + | 1.14622i | ||||
\(117\) | −14.1527 | − | 3.79221i | −1.30842 | − | 0.350590i | ||||
\(118\) | −0.575643 | − | 8.91111i | −0.0529922 | − | 0.820334i | ||||
\(119\) | −8.33417 | − | 5.09578i | −0.763992 | − | 0.467129i | ||||
\(120\) | −0.911316 | + | 0.771049i | −0.0831913 | + | 0.0703868i | ||||
\(121\) | 3.26682 | + | 5.65830i | 0.296984 | + | 0.514391i | ||||
\(122\) | −0.944175 | − | 0.466721i | −0.0854816 | − | 0.0422549i | ||||
\(123\) | 0.0721504 | + | 0.269269i | 0.00650558 | + | 0.0242792i | ||||
\(124\) | −5.73496 | + | 4.38346i | −0.515014 | + | 0.393646i | ||||
\(125\) | 7.54430 | + | 8.25127i | 0.674783 | + | 0.738016i | ||||
\(126\) | −3.28972 | − | 10.5926i | −0.293072 | − | 0.943663i | ||||
\(127\) | 0.236901 | − | 0.236901i | 0.0210216 | − | 0.0210216i | −0.696518 | − | 0.717539i | \(-0.745268\pi\) |
0.717539 | + | 0.696518i | \(0.245268\pi\) | |||||||
\(128\) | −9.36539 | − | 6.34740i | −0.827792 | − | 0.561036i | ||||
\(129\) | 0.304503 | + | 0.175805i | 0.0268100 | + | 0.0154788i | ||||
\(130\) | 15.6109 | − | 0.774931i | 1.36917 | − | 0.0679659i | ||||
\(131\) | 0.457319 | + | 0.792101i | 0.0399562 | + | 0.0692062i | 0.885312 | − | 0.464998i | \(-0.153945\pi\) |
−0.845356 | + | 0.534204i | \(0.820611\pi\) | |||||||
\(132\) | 0.486851 | − | 0.632010i | 0.0423750 | − | 0.0550094i | ||||
\(133\) | 1.99675 | + | 0.589304i | 0.173140 | + | 0.0510991i | ||||
\(134\) | −13.0675 | − | 11.4817i | −1.12886 | − | 0.991867i | ||||
\(135\) | −1.29099 | + | 2.16101i | −0.111111 | + | 0.185990i | ||||
\(136\) | −9.37910 | + | 4.59239i | −0.804251 | + | 0.393794i | ||||
\(137\) | −6.33837 | + | 1.69836i | −0.541524 | + | 0.145101i | −0.519204 | − | 0.854650i | \(-0.673772\pi\) |
−0.0223192 | + | 0.999751i | \(0.507105\pi\) | |||||||
\(138\) | 1.30530 | + | 1.95750i | 0.111114 | + | 0.166634i | ||||
\(139\) | − | 9.18438i | − | 0.779009i | −0.921025 | − | 0.389505i | \(-0.872646\pi\) | ||
0.921025 | − | 0.389505i | \(-0.127354\pi\) | |||||||
\(140\) | 6.80270 | + | 9.68108i | 0.574933 | + | 0.818200i | ||||
\(141\) | − | 0.849955i | − | 0.0715791i | ||||||
\(142\) | 9.70875 | − | 6.47397i | 0.814741 | − | 0.543284i | ||||
\(143\) | −10.0898 | + | 2.70356i | −0.843754 | + | 0.226083i | ||||
\(144\) | −11.4418 | − | 3.11204i | −0.953486 | − | 0.259337i | ||||
\(145\) | −3.65392 | − | 14.4978i | −0.303441 | − | 1.20398i | ||||
\(146\) | 10.5614 | − | 12.0201i | 0.874069 | − | 0.994794i | ||||
\(147\) | 1.29181 | − | 0.277271i | 0.106546 | − | 0.0228690i | ||||
\(148\) | 4.17408 | − | 5.41861i | 0.343107 | − | 0.445407i | ||||
\(149\) | 0.392779 | + | 0.680313i | 0.0321777 | + | 0.0557334i | 0.881666 | − | 0.471874i | \(-0.156422\pi\) |
−0.849488 | + | 0.527608i | \(0.823089\pi\) | |||||||
\(150\) | 0.300510 | − | 1.30037i | 0.0245365 | − | 0.106175i | ||||
\(151\) | −0.170377 | − | 0.0983673i | −0.0138651 | − | 0.00800501i | 0.493051 | − | 0.870000i | \(-0.335881\pi\) |
−0.506917 | + | 0.861995i | \(0.669215\pi\) | |||||||
\(152\) | 1.67746 | − | 1.46274i | 0.136060 | − | 0.118644i | ||||
\(153\) | −7.73929 | + | 7.73929i | −0.625684 | + | 0.625684i | ||||
\(154\) | −5.80697 | − | 5.36732i | −0.467939 | − | 0.432511i | ||||
\(155\) | 2.20475 | − | 7.76335i | 0.177089 | − | 0.623568i | ||||
\(156\) | −1.13306 | − | 1.48240i | −0.0907173 | − | 0.118687i | ||||
\(157\) | 5.88128 | + | 21.9492i | 0.469378 | + | 1.75174i | 0.641952 | + | 0.766744i | \(0.278125\pi\) |
−0.172575 | + | 0.984996i | \(0.555209\pi\) | |||||||
\(158\) | 4.88543 | − | 9.88321i | 0.388664 | − | 0.786266i | ||||
\(159\) | 0.137202 | + | 0.237642i | 0.0108809 | + | 0.0188462i | ||||
\(160\) | 12.6358 | − | 0.579569i | 0.998950 | − | 0.0458190i | ||||
\(161\) | 20.4834 | − | 11.1480i | 1.61431 | − | 0.878584i | ||||
\(162\) | −12.2507 | + | 0.791378i | −0.962510 | + | 0.0621765i | ||||
\(163\) | 1.84419 | + | 0.494149i | 0.144448 | + | 0.0387047i | 0.330318 | − | 0.943870i | \(-0.392844\pi\) |
−0.185871 | + | 0.982574i | \(0.559511\pi\) | |||||||
\(164\) | 1.13554 | − | 2.72690i | 0.0886705 | − | 0.212935i | ||||
\(165\) | −0.0132977 | + | 0.891852i | −0.00103523 | + | 0.0694306i | ||||
\(166\) | 15.9771 | + | 3.19368i | 1.24006 | + | 0.247877i | ||||
\(167\) | 13.1632 | − | 13.1632i | 1.01860 | − | 1.01860i | 0.0187730 | − | 0.999824i | \(-0.494024\pi\) |
0.999824 | − | 0.0187730i | \(-0.00597597\pi\) | |||||||
\(168\) | 0.491295 | − | 1.32425i | 0.0379042 | − | 0.102168i | ||||
\(169\) | 11.4302i | 0.879243i | ||||||||
\(170\) | 5.32935 | − | 10.3885i | 0.408743 | − | 0.796758i | ||||
\(171\) | 1.16631 | − | 2.02011i | 0.0891899 | − | 0.154481i | ||||
\(172\) | −1.41929 | − | 3.44481i | −0.108220 | − | 0.262664i | ||||
\(173\) | 0.757594 | − | 2.82738i | 0.0575988 | − | 0.214962i | −0.931128 | − | 0.364693i | \(-0.881174\pi\) |
0.988727 | + | 0.149731i | \(0.0478408\pi\) | |||||||
\(174\) | −1.17805 | + | 1.34076i | −0.0893078 | + | 0.101643i | ||||
\(175\) | −12.5704 | − | 4.12115i | −0.950237 | − | 0.311529i | ||||
\(176\) | −8.17364 | + | 2.15717i | −0.616111 | + | 0.162603i | ||||
\(177\) | 0.308458 | − | 1.15118i | 0.0231852 | − | 0.0865282i | ||||
\(178\) | −7.00018 | − | 3.46030i | −0.524685 | − | 0.259360i | ||||
\(179\) | 17.3398 | + | 10.0111i | 1.29604 | + | 0.748267i | 0.979717 | − | 0.200385i | \(-0.0642194\pi\) |
0.316320 | + | 0.948653i | \(0.397553\pi\) | |||||||
\(180\) | 12.3314 | − | 4.86690i | 0.919129 | − | 0.362757i | ||||
\(181\) | − | 2.37279i | − | 0.176368i | −0.996104 | − | 0.0881839i | \(-0.971894\pi\) | ||
0.996104 | − | 0.0881839i | \(-0.0281063\pi\) | |||||||
\(182\) | −15.6402 | + | 9.86944i | −1.15933 | + | 0.731571i | ||||
\(183\) | −0.0993969 | − | 0.0993969i | −0.00734763 | − | 0.00734763i | ||||
\(184\) | 1.70078 | − | 24.8726i | 0.125383 | − | 1.83363i | ||||
\(185\) | −0.114010 | + | 7.64640i | −0.00838216 | + | 0.562174i | ||||
\(186\) | −0.912553 | + | 0.308813i | −0.0669116 | + | 0.0226432i | ||||
\(187\) | −2.01956 | + | 7.53709i | −0.147685 | + | 0.551166i | ||||
\(188\) | −5.49613 | + | 7.13485i | −0.400846 | + | 0.520362i | ||||
\(189\) | 0.0750028 | − | 2.97753i | 0.00545565 | − | 0.216583i | ||||
\(190\) | −0.524073 | + | 2.43253i | −0.0380202 | + | 0.176474i | ||||
\(191\) | −7.99765 | + | 4.61745i | −0.578690 | + | 0.334107i | −0.760613 | − | 0.649206i | \(-0.775101\pi\) |
0.181923 | + | 0.983313i | \(0.441768\pi\) | |||||||
\(192\) | −0.912434 | − | 1.20311i | −0.0658493 | − | 0.0868273i | ||||
\(193\) | −4.40006 | − | 16.4213i | −0.316724 | − | 1.18203i | −0.922374 | − | 0.386298i | \(-0.873754\pi\) |
0.605651 | − | 0.795731i | \(-0.292913\pi\) | |||||||
\(194\) | −4.81419 | + | 24.0841i | −0.345638 | + | 1.72914i | ||||
\(195\) | 2.00671 | + | 0.569893i | 0.143703 | + | 0.0408109i | ||||
\(196\) | −12.6369 | − | 6.02578i | −0.902632 | − | 0.430413i | ||||
\(197\) | −1.12312 | + | 1.12312i | −0.0800190 | + | 0.0800190i | −0.745983 | − | 0.665964i | \(-0.768020\pi\) |
0.665964 | + | 0.745983i | \(0.268020\pi\) | |||||||
\(198\) | −7.37130 | + | 4.91532i | −0.523855 | + | 0.349316i | ||||
\(199\) | −1.20842 | + | 2.09305i | −0.0856627 | + | 0.148372i | −0.905673 | − | 0.423976i | \(-0.860634\pi\) |
0.820011 | + | 0.572348i | \(0.193967\pi\) | |||||||
\(200\) | −10.9313 | + | 8.97259i | −0.772958 | + | 0.634458i | ||||
\(201\) | −1.16081 | − | 2.01058i | −0.0818772 | − | 0.141816i | ||||
\(202\) | 1.37393 | + | 21.2688i | 0.0966691 | + | 1.49646i | ||||
\(203\) | 12.1901 | + | 12.8201i | 0.855577 | + | 0.899794i | ||||
\(204\) | −1.38219 | + | 0.179323i | −0.0967726 | + | 0.0125551i | ||||
\(205\) | 0.807107 | + | 3.20240i | 0.0563708 | + | 0.223665i | ||||
\(206\) | 18.2853 | − | 6.18783i | 1.27400 | − | 0.431127i | ||||
\(207\) | −6.76267 | − | 25.2386i | −0.470038 | − | 1.75421i | ||||
\(208\) | −0.0744277 | + | 19.7706i | −0.00516063 | + | 1.37085i | ||||
\(209\) | − | 1.66298i | − | 0.115031i | ||||||
\(210\) | 0.445835 | + | 1.51493i | 0.0307656 | + | 0.104540i | ||||
\(211\) | −12.9720 | −0.893032 | −0.446516 | − | 0.894776i | \(-0.647335\pi\) | ||||
−0.446516 | + | 0.894776i | \(0.647335\pi\) | |||||||
\(212\) | 0.384950 | − | 2.88206i | 0.0264385 | − | 0.197940i | ||||
\(213\) | 1.50436 | − | 0.403093i | 0.103077 | − | 0.0276195i | ||||
\(214\) | 19.6088 | − | 6.63573i | 1.34043 | − | 0.453609i | ||||
\(215\) | 3.57597 | + | 2.13630i | 0.243879 | + | 0.145694i | ||||
\(216\) | −2.64249 | − | 1.77647i | −0.179799 | − | 0.120873i | ||||
\(217\) | 2.23841 | + | 9.28290i | 0.151953 | + | 0.630165i | ||||
\(218\) | 12.0611 | − | 0.779124i | 0.816878 | − | 0.0527690i | ||||
\(219\) | 1.84943 | − | 1.06777i | 0.124973 | − | 0.0721532i | ||||
\(220\) | 5.87868 | − | 7.40056i | 0.396340 | − | 0.498946i | ||||
\(221\) | 15.8044 | + | 9.12465i | 1.06312 | + | 0.613790i | ||||
\(222\) | 0.759510 | − | 0.506455i | 0.0509750 | − | 0.0339911i | ||||
\(223\) | 5.00700 | + | 5.00700i | 0.335294 | + | 0.335294i | 0.854593 | − | 0.519299i | \(-0.173807\pi\) |
−0.519299 | + | 0.854593i | \(0.673807\pi\) | |||||||
\(224\) | −12.6872 | + | 7.93940i | −0.847702 | + | 0.530473i | ||||
\(225\) | −7.79034 | + | 12.6095i | −0.519356 | + | 0.840631i | ||||
\(226\) | −17.4127 | − | 3.48065i | −1.15828 | − | 0.231529i | ||||
\(227\) | −13.7165 | + | 3.67532i | −0.910396 | + | 0.243940i | −0.683476 | − | 0.729973i | \(-0.739532\pi\) |
−0.226920 | + | 0.973913i | \(0.572866\pi\) | |||||||
\(228\) | 0.274646 | − | 0.113157i | 0.0181889 | − | 0.00749399i | ||||
\(229\) | 4.01062 | + | 6.94659i | 0.265029 | + | 0.459044i | 0.967571 | − | 0.252598i | \(-0.0812851\pi\) |
−0.702542 | + | 0.711642i | \(0.747952\pi\) | |||||||
\(230\) | 15.1163 | + | 23.4183i | 0.996740 | + | 1.54416i | ||||
\(231\) | −0.504503 | − | 0.926976i | −0.0331938 | − | 0.0609906i | ||||
\(232\) | 18.5589 | − | 3.63715i | 1.21845 | − | 0.238791i | ||||
\(233\) | 15.9876 | + | 4.28386i | 1.04738 | + | 0.280645i | 0.741170 | − | 0.671318i | \(-0.234271\pi\) |
0.306213 | + | 0.951963i | \(0.400938\pi\) | |||||||
\(234\) | 6.64209 | + | 19.6276i | 0.434207 | + | 1.28310i | ||||
\(235\) | 0.150120 | − | 10.0682i | 0.00979274 | − | 0.656779i | ||||
\(236\) | −10.0333 | + | 7.66886i | −0.653112 | + | 0.499200i | ||||
\(237\) | 1.04044 | − | 1.04044i | 0.0675840 | − | 0.0675840i | ||||
\(238\) | 0.543121 | + | 13.8042i | 0.0352053 | + | 0.894793i | ||||
\(239\) | −21.9708 | −1.42117 | −0.710585 | − | 0.703611i | \(-0.751570\pi\) | ||||
−0.710585 | + | 0.703611i | \(0.751570\pi\) | |||||||
\(240\) | 1.62223 | + | 0.467312i | 0.104715 | + | 0.0301648i | ||||
\(241\) | 9.88742 | − | 17.1255i | 0.636905 | − | 1.10315i | −0.349203 | − | 0.937047i | \(-0.613548\pi\) |
0.986108 | − | 0.166105i | \(-0.0531189\pi\) | |||||||
\(242\) | 4.09453 | − | 8.28322i | 0.263206 | − | 0.532466i | ||||
\(243\) | −4.84480 | − | 1.29816i | −0.310794 | − | 0.0832771i | ||||
\(244\) | 0.191638 | + | 1.47711i | 0.0122684 | + | 0.0945625i | ||||
\(245\) | 15.3512 | − | 3.05629i | 0.980752 | − | 0.195259i | ||||
\(246\) | 0.260217 | − | 0.296158i | 0.0165909 | − | 0.0188824i | ||||
\(247\) | −3.75680 | − | 1.00663i | −0.239039 | − | 0.0640504i | ||||
\(248\) | 9.65722 | + | 3.30862i | 0.613234 | + | 0.210098i | ||||
\(249\) | 1.88322 | + | 1.08728i | 0.119344 | + | 0.0689033i | ||||
\(250\) | 3.78940 | − | 15.3506i | 0.239662 | − | 0.970856i | ||||
\(251\) | −17.3578 | −1.09562 | −0.547808 | − | 0.836604i | \(-0.684538\pi\) | ||||
−0.547808 | + | 0.836604i | \(0.684538\pi\) | |||||||
\(252\) | −9.88232 | + | 12.1816i | −0.622528 | + | 0.767366i | ||||
\(253\) | −13.1720 | − | 13.1720i | −0.828114 | − | 0.828114i | ||||
\(254\) | −0.464611 | − | 0.0928714i | −0.0291523 | − | 0.00582727i | ||||
\(255\) | 1.11818 | − | 1.08533i | 0.0700231 | − | 0.0679657i | ||||
\(256\) | −0.120464 | + | 15.9995i | −0.00752902 | + | 0.999972i | ||||
\(257\) | 4.83881 | − | 18.0587i | 0.301837 | − | 1.12647i | −0.633798 | − | 0.773499i | \(-0.718505\pi\) |
0.935634 | − | 0.352971i | \(-0.114829\pi\) | |||||||
\(258\) | −0.0320548 | − | 0.496217i | −0.00199565 | − | 0.0308931i | ||||
\(259\) | −4.32541 | − | 7.94754i | −0.268768 | − | 0.493836i | ||||
\(260\) | −13.1599 | − | 17.7600i | −0.816145 | − | 1.10143i | ||||
\(261\) | 17.1654 | − | 9.91046i | 1.06251 | − | 0.613442i | ||||
\(262\) | 0.573190 | − | 1.15956i | 0.0354118 | − | 0.0716379i | ||||
\(263\) | 14.9563 | − | 4.00754i | 0.922247 | − | 0.247115i | 0.233701 | − | 0.972308i | \(-0.424916\pi\) |
0.688545 | + | 0.725193i | \(0.258250\pi\) | |||||||
\(264\) | −1.12561 | − | 0.0769687i | −0.0692765 | − | 0.00473710i | ||||
\(265\) | 1.58327 | + | 2.83924i | 0.0972597 | + | 0.174413i | ||||
\(266\) | −0.873246 | − | 2.81177i | −0.0535421 | − | 0.172401i | ||||
\(267\) | −0.736935 | − | 0.736935i | −0.0450997 | − | 0.0450997i | ||||
\(268\) | −3.25690 | + | 24.3838i | −0.198947 | + | 1.48948i | ||||
\(269\) | 15.8495 | − | 27.4521i | 0.966361 | − | 1.67379i | 0.260450 | − | 0.965487i | \(-0.416129\pi\) |
0.705912 | − | 0.708300i | \(-0.250537\pi\) | |||||||
\(270\) | 3.55557 | − | 0.176500i | 0.216385 | − | 0.0107414i | ||||
\(271\) | 22.0592 | − | 12.7359i | 1.34000 | − | 0.773650i | 0.353193 | − | 0.935550i | \(-0.385096\pi\) |
0.986807 | + | 0.161901i | \(0.0517624\pi\) | |||||||
\(272\) | 12.7622 | + | 7.43246i | 0.773822 | + | 0.450659i | ||||
\(273\) | −2.39949 | + | 0.578594i | −0.145224 | + | 0.0350181i | ||||
\(274\) | 6.97133 | + | 6.12531i | 0.421153 | + | 0.370043i | ||||
\(275\) | −0.315040 | + | 10.5622i | −0.0189976 | + | 0.636924i | ||||
\(276\) | 1.27910 | − | 3.07167i | 0.0769930 | − | 0.184893i | ||||
\(277\) | 6.19081 | + | 23.1044i | 0.371970 | + | 1.38821i | 0.857722 | + | 0.514114i | \(0.171879\pi\) |
−0.485752 | + | 0.874097i | \(0.661454\pi\) | |||||||
\(278\) | −10.8065 | + | 7.20596i | −0.648130 | + | 0.432185i | ||||
\(279\) | 10.6989 | 0.640528 | ||||||||
\(280\) | 6.05357 | − | 15.5998i | 0.361770 | − | 0.932267i | ||||
\(281\) | −4.98057 | −0.297116 | −0.148558 | − | 0.988904i | \(-0.547463\pi\) | ||||
−0.148558 | + | 0.988904i | \(0.547463\pi\) | |||||||
\(282\) | −1.00007 | + | 0.666864i | −0.0595533 | + | 0.0397112i | ||||
\(283\) | 5.76153 | + | 21.5023i | 0.342488 | + | 1.27818i | 0.895520 | + | 0.445021i | \(0.146804\pi\) |
−0.553033 | + | 0.833160i | \(0.686529\pi\) | |||||||
\(284\) | −15.2347 | − | 6.34406i | −0.904016 | − | 0.376451i | ||||
\(285\) | −0.170322 | + | 0.285103i | −0.0100890 | + | 0.0168881i | ||||
\(286\) | 11.0974 | + | 9.75066i | 0.656203 | + | 0.576568i | ||||
\(287\) | −2.69265 | − | 2.83181i | −0.158942 | − | 0.167156i | ||||
\(288\) | 5.31545 | + | 15.9043i | 0.313216 | + | 0.937170i | ||||
\(289\) | −2.91660 | + | 1.68390i | −0.171565 | + | 0.0990529i | ||||
\(290\) | −14.1915 | + | 15.6741i | −0.833356 | + | 0.920413i | ||||
\(291\) | −1.63897 | + | 2.83878i | −0.0960783 | + | 0.166412i | ||||
\(292\) | −22.4294 | − | 2.99585i | −1.31258 | − | 0.175319i | ||||
\(293\) | 5.92980 | + | 5.92980i | 0.346423 | + | 0.346423i | 0.858775 | − | 0.512353i | \(-0.171226\pi\) |
−0.512353 | + | 0.858775i | \(0.671226\pi\) | |||||||
\(294\) | −1.33978 | − | 1.30241i | −0.0781373 | − | 0.0759583i | ||||
\(295\) | 3.85720 | − | 13.5820i | 0.224575 | − | 0.790773i | ||||
\(296\) | −9.65055 | − | 0.659900i | −0.560927 | − | 0.0383559i | ||||
\(297\) | −2.29808 | + | 0.615768i | −0.133348 | + | 0.0357305i | ||||
\(298\) | 0.492297 | − | 0.995915i | 0.0285180 | − | 0.0576918i | ||||
\(299\) | −37.7296 | + | 21.7832i | −2.18196 | + | 1.25976i | ||||
\(300\) | −1.76581 | + | 0.666669i | −0.101949 | + | 0.0384902i | ||||
\(301\) | −4.92712 | − | 0.124112i | −0.283994 | − | 0.00715372i | ||||
\(302\) | 0.0179355 | + | 0.277646i | 0.00103207 | + | 0.0159767i | ||||
\(303\) | −0.736219 | + | 2.74761i | −0.0422947 | + | 0.157846i | ||||
\(304\) | −3.03720 | − | 0.826082i | −0.174195 | − | 0.0473790i | ||||
\(305\) | −1.15986 | − | 1.19497i | −0.0664135 | − | 0.0684239i | ||||
\(306\) | 15.1783 | + | 3.03401i | 0.867686 | + | 0.173443i | ||||
\(307\) | 12.9774 | + | 12.9774i | 0.740657 | + | 0.740657i | 0.972704 | − | 0.232047i | \(-0.0745424\pi\) |
−0.232047 | + | 0.972704i | \(0.574542\pi\) | |||||||
\(308\) | −1.75919 | + | 11.0437i | −0.100239 | + | 0.629273i | ||||
\(309\) | 2.57638 | 0.146565 | ||||||||
\(310\) | −10.8643 | + | 3.49690i | −0.617050 | + | 0.198610i | ||||
\(311\) | −13.9863 | − | 8.07500i | −0.793091 | − | 0.457891i | 0.0479586 | − | 0.998849i | \(-0.484728\pi\) |
−0.841050 | + | 0.540958i | \(0.818062\pi\) | |||||||
\(312\) | −0.855229 | + | 2.49625i | −0.0484178 | + | 0.141322i | ||||
\(313\) | 14.4903 | + | 3.88266i | 0.819040 | + | 0.219461i | 0.643927 | − | 0.765087i | \(-0.277304\pi\) |
0.175113 | + | 0.984548i | \(0.443971\pi\) | |||||||
\(314\) | 21.2114 | − | 24.1411i | 1.19703 | − | 1.36236i | ||||
\(315\) | 0.702950 | − | 17.5234i | 0.0396067 | − | 0.987331i | ||||
\(316\) | −15.4618 | + | 2.00598i | −0.869793 | + | 0.112845i | ||||
\(317\) | −20.4316 | − | 5.47464i | −1.14756 | − | 0.307487i | −0.365570 | − | 0.930784i | \(-0.619126\pi\) |
−0.781985 | + | 0.623297i | \(0.785793\pi\) | |||||||
\(318\) | 0.171965 | − | 0.347885i | 0.00964333 | − | 0.0195084i | ||||
\(319\) | 7.06541 | − | 12.2377i | 0.395587 | − | 0.685177i | ||||
\(320\) | −10.5958 | − | 14.4128i | −0.592326 | − | 0.805699i | ||||
\(321\) | 2.76286 | 0.154208 | ||||||||
\(322\) | −29.1879 | − | 15.3545i | −1.62658 | − | 0.855670i | ||||
\(323\) | −2.05437 | + | 2.05437i | −0.114308 | + | 0.114308i | ||||
\(324\) | 10.5429 | + | 13.7935i | 0.585719 | + | 0.766306i | ||||
\(325\) | 23.6700 | + | 7.10516i | 1.31298 | + | 0.394124i | ||||
\(326\) | −0.865505 | − | 2.55760i | −0.0479359 | − | 0.141652i | ||||
\(327\) | 1.55811 | + | 0.417494i | 0.0861636 | + | 0.0230875i | ||||
\(328\) | −4.09944 | + | 0.803403i | −0.226353 | + | 0.0443605i | ||||
\(329\) | 5.69540 | + | 10.4648i | 0.313997 | + | 0.576941i | ||||
\(330\) | 1.05980 | − | 0.684090i | 0.0583400 | − | 0.0376579i | ||||
\(331\) | 11.2693 | + | 19.5190i | 0.619418 | + | 1.07286i | 0.989592 | + | 0.143901i | \(0.0459645\pi\) |
−0.370175 | + | 0.928962i | \(0.620702\pi\) | |||||||
\(332\) | −8.77771 | − | 21.3046i | −0.481739 | − | 1.16924i | ||||
\(333\) | −9.79258 | + | 2.62391i | −0.536630 | + | 0.143790i | ||||
\(334\) | −25.8156 | − | 5.16031i | −1.41257 | − | 0.282360i | ||||
\(335\) | −13.3954 | − | 24.0216i | −0.731869 | − | 1.31244i | ||||
\(336\) | −1.94360 | + | 0.460929i | −0.106032 | + | 0.0251457i | ||||
\(337\) | 10.7908 | + | 10.7908i | 0.587814 | + | 0.587814i | 0.937039 | − | 0.349225i | \(-0.113555\pi\) |
−0.349225 | + | 0.937039i | \(0.613555\pi\) | |||||||
\(338\) | 13.4489 | − | 8.96797i | 0.731523 | − | 0.487793i | ||||
\(339\) | −2.05243 | − | 1.18497i | −0.111473 | − | 0.0643589i | ||||
\(340\) | −16.4046 | + | 1.88006i | −0.889662 | + | 0.101961i | ||||
\(341\) | 6.60564 | − | 3.81377i | 0.357715 | − | 0.206527i | ||||
\(342\) | −3.29196 | + | 0.212655i | −0.178009 | + | 0.0114991i | ||||
\(343\) | −14.0469 | + | 12.0700i | −0.758463 | + | 0.651716i | ||||
\(344\) | −2.93965 | + | 4.37272i | −0.158495 | + | 0.235761i | ||||
\(345\) | 0.909151 | + | 3.60728i | 0.0489470 | + | 0.194210i | ||||
\(346\) | −3.92113 | + | 1.32693i | −0.210801 | + | 0.0713362i | ||||
\(347\) | 18.1263 | − | 4.85692i | 0.973069 | − | 0.260733i | 0.262946 | − | 0.964811i | \(-0.415306\pi\) |
0.710123 | + | 0.704078i | \(0.248639\pi\) | |||||||
\(348\) | 2.50184 | + | 0.334166i | 0.134113 | + | 0.0179132i | ||||
\(349\) | −29.2818 | −1.56742 | −0.783708 | − | 0.621129i | \(-0.786674\pi\) | ||||
−0.783708 | + | 0.621129i | \(0.786674\pi\) | |||||||
\(350\) | 5.01362 | + | 18.0240i | 0.267989 | + | 0.963422i | ||||
\(351\) | 5.56426i | 0.296998i | ||||||||
\(352\) | 8.95110 | + | 7.92473i | 0.477095 | + | 0.422389i | ||||
\(353\) | −6.37862 | − | 23.8053i | −0.339499 | − | 1.26703i | −0.898908 | − | 0.438137i | \(-0.855638\pi\) |
0.559409 | − | 0.828892i | \(-0.311028\pi\) | |||||||
\(354\) | −1.59651 | + | 0.540267i | −0.0848536 | + | 0.0287149i | ||||
\(355\) | 17.8913 | − | 4.50918i | 0.949571 | − | 0.239322i | ||||
\(356\) | 1.42082 | + | 10.9514i | 0.0753031 | + | 0.580424i | ||||
\(357\) | −0.521904 | + | 1.76838i | −0.0276221 | + | 0.0935927i | ||||
\(358\) | −1.82535 | − | 28.2569i | −0.0964726 | − | 1.49342i | ||||
\(359\) | −4.40379 | − | 7.62759i | −0.232423 | − | 0.402569i | 0.726097 | − | 0.687592i | \(-0.241332\pi\) |
−0.958521 | + | 0.285023i | \(0.907999\pi\) | |||||||
\(360\) | −15.4015 | − | 10.6908i | −0.811732 | − | 0.563455i | ||||
\(361\) | −9.19041 | + | 15.9183i | −0.483706 | + | 0.837803i | ||||
\(362\) | −2.79186 | + | 1.86166i | −0.146737 | + | 0.0978467i | ||||
\(363\) | 0.872006 | − | 0.872006i | 0.0457685 | − | 0.0457685i | ||||
\(364\) | 23.8837 | + | 10.6591i | 1.25184 | + | 0.558687i | ||||
\(365\) | 22.0962 | − | 12.3217i | 1.15657 | − | 0.644949i | ||||
\(366\) | −0.0389662 | + | 0.194938i | −0.00203680 | + | 0.0101895i | ||||
\(367\) | 5.85255 | + | 21.8420i | 0.305501 | + | 1.14014i | 0.932513 | + | 0.361135i | \(0.117611\pi\) |
−0.627013 | + | 0.779009i | \(0.715723\pi\) | |||||||
\(368\) | −30.5998 | + | 17.5136i | −1.59513 | + | 0.912958i | ||||
\(369\) | −3.79164 | + | 2.18910i | −0.197385 | + | 0.113960i | ||||
\(370\) | 9.08631 | − | 5.86513i | 0.472375 | − | 0.304913i | ||||
\(371\) | −3.28165 | − | 2.00650i | −0.170375 | − | 0.104173i | ||||
\(372\) | 1.07933 | + | 0.831433i | 0.0559607 | + | 0.0431078i | ||||
\(373\) | 0.650309 | − | 2.42699i | 0.0336717 | − | 0.125665i | −0.947044 | − | 0.321103i | \(-0.895946\pi\) |
0.980716 | + | 0.195439i | \(0.0626130\pi\) | |||||||
\(374\) | 10.4528 | − | 3.53727i | 0.540500 | − | 0.182908i | ||||
\(375\) | 1.13578 | − | 1.77853i | 0.0586517 | − | 0.0918427i | ||||
\(376\) | 12.7072 | + | 0.868910i | 0.655322 | + | 0.0448106i | ||||
\(377\) | −23.3689 | − | 23.3689i | −1.20356 | − | 1.20356i | ||||
\(378\) | −3.56225 | + | 2.24788i | −0.183222 | + | 0.115619i | ||||
\(379\) | − | 26.4355i | − | 1.35790i | −0.734184 | − | 0.678950i | \(-0.762435\pi\) | ||
0.734184 | − | 0.678950i | \(-0.237565\pi\) | |||||||
\(380\) | 3.27333 | − | 1.29190i | 0.167918 | − | 0.0662732i | ||||
\(381\) | −0.0547636 | − | 0.0316178i | −0.00280562 | − | 0.00161983i | ||||
\(382\) | 11.7078 | + | 5.78736i | 0.599024 | + | 0.296107i | ||||
\(383\) | 1.74726 | − | 6.52088i | 0.0892810 | − | 0.333201i | −0.906809 | − | 0.421541i | \(-0.861489\pi\) |
0.996090 | + | 0.0883396i | \(0.0281561\pi\) | |||||||
\(384\) | −0.699716 | + | 2.01753i | −0.0357072 | + | 0.102957i | ||||
\(385\) | −5.81242 | − | 11.0697i | −0.296228 | − | 0.564164i | ||||
\(386\) | −15.8693 | + | 18.0611i | −0.807724 | + | 0.919286i | ||||
\(387\) | −1.42926 | + | 5.33407i | −0.0726533 | + | 0.271146i | ||||
\(388\) | 32.1148 | − | 13.2316i | 1.63038 | − | 0.671734i | ||||
\(389\) | −1.23286 | + | 2.13538i | −0.0625085 | + | 0.108268i | −0.895586 | − | 0.444888i | \(-0.853243\pi\) |
0.833078 | + | 0.553156i | \(0.186577\pi\) | |||||||
\(390\) | −0.903895 | − | 2.80825i | −0.0457705 | − | 0.142202i | ||||
\(391\) | 32.5441i | 1.64582i | ||||||||
\(392\) | 2.82470 | + | 19.5965i | 0.142669 | + | 0.989770i | ||||
\(393\) | 0.122071 | − | 0.122071i | 0.00615769 | − | 0.00615769i | ||||
\(394\) | 2.20267 | + | 0.440293i | 0.110969 | + | 0.0221817i | ||||
\(395\) | 12.5084 | − | 12.1409i | 0.629368 | − | 0.610876i | ||||
\(396\) | 11.5669 | + | 4.81668i | 0.581257 | + | 0.242047i | ||||
\(397\) | −18.8597 | − | 5.05344i | −0.946542 | − | 0.253625i | −0.247647 | − | 0.968850i | \(-0.579657\pi\) |
−0.698894 | + | 0.715225i | \(0.746324\pi\) | |||||||
\(398\) | 3.41082 | − | 0.220333i | 0.170969 | − | 0.0110443i | ||||
\(399\) | 0.00989517 | − | 0.392827i | 0.000495378 | − | 0.0196659i | ||||
\(400\) | 19.1338 | + | 5.82211i | 0.956691 | + | 0.291106i | ||||
\(401\) | −8.55254 | − | 14.8134i | −0.427093 | − | 0.739747i | 0.569520 | − | 0.821977i | \(-0.307129\pi\) |
−0.996613 | + | 0.0822300i | \(0.973796\pi\) | |||||||
\(402\) | −1.45492 | + | 2.94330i | −0.0725649 | + | 0.146799i | ||||
\(403\) | −4.61707 | − | 17.2312i | −0.229993 | − | 0.858345i | ||||
\(404\) | 23.9472 | − | 18.3038i | 1.19142 | − | 0.910648i | ||||
\(405\) | −18.6721 | − | 5.30277i | −0.927825 | − | 0.263497i | ||||
\(406\) | 5.52011 | − | 24.4015i | 0.273958 | − | 1.21103i | ||||
\(407\) | −5.11072 | + | 5.11072i | −0.253329 | + | 0.253329i | ||||
\(408\) | 1.29544 | + | 1.48561i | 0.0641340 | + | 0.0735487i | ||||
\(409\) | 11.7312 | + | 6.77301i | 0.580070 | + | 0.334904i | 0.761161 | − | 0.648563i | \(-0.224630\pi\) |
−0.181091 | + | 0.983466i | \(0.557963\pi\) | |||||||
\(410\) | 3.13474 | − | 3.46222i | 0.154814 | − | 0.170987i | ||||
\(411\) | 0.619275 | + | 1.07262i | 0.0305466 | + | 0.0529082i | ||||
\(412\) | −21.6271 | − | 16.6598i | −1.06549 | − | 0.820771i | ||||
\(413\) | 3.91609 | + | 16.2404i | 0.192698 | + | 0.799140i | ||||
\(414\) | −24.3902 | + | 27.7590i | −1.19871 | + | 1.36428i | ||||
\(415\) | 22.1158 | + | 13.2121i | 1.08562 | + | 0.648554i | ||||
\(416\) | 23.3208 | − | 15.4242i | 1.14340 | − | 0.756234i | ||||
\(417\) | −1.67445 | + | 0.448668i | −0.0819983 | + | 0.0219714i | ||||
\(418\) | −1.95669 | + | 1.30476i | −0.0957047 | + | 0.0638177i | ||||
\(419\) | − | 11.1700i | − | 0.545690i | −0.962058 | − | 0.272845i | \(-0.912035\pi\) | ||
0.962058 | − | 0.272845i | \(-0.0879645\pi\) | |||||||
\(420\) | 1.43269 | − | 1.71317i | 0.0699080 | − | 0.0835941i | ||||
\(421\) | − | 27.5403i | − | 1.34223i | −0.741351 | − | 0.671117i | \(-0.765815\pi\) | ||
0.741351 | − | 0.671117i | \(-0.234185\pi\) | |||||||
\(422\) | 10.1777 | + | 15.2631i | 0.495443 | + | 0.742996i | ||||
\(423\) | 12.8942 | − | 3.45498i | 0.626936 | − | 0.167987i | ||||
\(424\) | −3.69310 | + | 1.80829i | −0.179353 | + | 0.0878183i | ||||
\(425\) | 13.4372 | − | 12.6588i | 0.651801 | − | 0.614044i | ||||
\(426\) | −1.65459 | − | 1.45379i | −0.0801651 | − | 0.0704365i | ||||
\(427\) | 1.88983 | + | 0.557747i | 0.0914552 | + | 0.0269913i | ||||
\(428\) | −23.1925 | − | 17.8657i | −1.12105 | − | 0.863572i | ||||
\(429\) | 0.985801 | + | 1.70746i | 0.0475949 | + | 0.0824368i | ||||
\(430\) | −0.292066 | − | 5.88366i | −0.0140847 | − | 0.283735i | ||||
\(431\) | −6.53929 | − | 3.77546i | −0.314987 | − | 0.181858i | 0.334169 | − | 0.942513i | \(-0.391544\pi\) |
−0.649156 | + | 0.760655i | \(0.724878\pi\) | |||||||
\(432\) | −0.0169518 | + | 4.50299i | −0.000815593 | + | 0.216650i | ||||
\(433\) | 12.2871 | − | 12.2871i | 0.590479 | − | 0.590479i | −0.347282 | − | 0.937761i | \(-0.612895\pi\) |
0.937761 | + | 0.347282i | \(0.112895\pi\) | |||||||
\(434\) | 9.16617 | − | 9.91700i | 0.439990 | − | 0.476031i | ||||
\(435\) | −2.46468 | + | 1.37440i | −0.118172 | + | 0.0658975i | ||||
\(436\) | −10.3797 | − | 13.5799i | −0.497097 | − | 0.650360i | ||||
\(437\) | −1.79513 | − | 6.69951i | −0.0858726 | − | 0.320481i | ||||
\(438\) | −2.70739 | − | 1.33831i | −0.129364 | − | 0.0639468i | ||||
\(439\) | 1.84434 | + | 3.19449i | 0.0880254 | + | 0.152464i | 0.906676 | − | 0.421827i | \(-0.138611\pi\) |
−0.818651 | + | 0.574291i | \(0.805278\pi\) | |||||||
\(440\) | −13.3199 | − | 1.11055i | −0.635004 | − | 0.0529433i | ||||
\(441\) | 9.45738 | + | 18.4701i | 0.450352 | + | 0.879531i | ||||
\(442\) | −1.66371 | − | 25.7547i | −0.0791347 | − | 1.22503i | ||||
\(443\) | −8.38128 | − | 2.24576i | −0.398207 | − | 0.106699i | 0.0541576 | − | 0.998532i | \(-0.482753\pi\) |
−0.452364 | + | 0.891833i | \(0.649419\pi\) | |||||||
\(444\) | −1.19181 | − | 0.496292i | −0.0565606 | − | 0.0235530i | ||||
\(445\) | −8.59929 | − | 8.85960i | −0.407645 | − | 0.419985i | ||||
\(446\) | 1.96288 | − | 9.81975i | 0.0929450 | − | 0.464979i | ||||
\(447\) | 0.104844 | − | 0.104844i | 0.00495894 | − | 0.00495894i | ||||
\(448\) | 19.2959 | + | 8.69883i | 0.911644 | + | 0.410981i | ||||
\(449\) | − | 5.00808i | − | 0.236346i | −0.992993 | − | 0.118173i | \(-0.962296\pi\) | ||
0.992993 | − | 0.118173i | \(-0.0377037\pi\) | |||||||
\(450\) | 20.9487 | − | 0.727010i | 0.987530 | − | 0.0342716i | ||||
\(451\) | −1.56067 | + | 2.70315i | −0.0734889 | + | 0.127286i | ||||
\(452\) | 9.56644 | + | 23.2189i | 0.449967 | + | 1.09213i | ||||
\(453\) | −0.00961072 | + | 0.0358677i | −0.000451551 | + | 0.00168521i | ||||
\(454\) | 15.0862 | + | 13.2554i | 0.708032 | + | 0.622107i | ||||
\(455\) | −28.5256 | + | 6.43000i | −1.33730 | + | 0.301443i | ||||
\(456\) | −0.348626 | − | 0.234371i | −0.0163259 | − | 0.0109754i | ||||
\(457\) | −0.639740 | + | 2.38754i | −0.0299258 | + | 0.111684i | −0.979273 | − | 0.202544i | \(-0.935079\pi\) |
0.949347 | + | 0.314228i | \(0.101746\pi\) | |||||||
\(458\) | 5.02678 | − | 10.1692i | 0.234886 | − | 0.475174i | ||||
\(459\) | 3.59963 | + | 2.07825i | 0.168016 | + | 0.0970043i | ||||
\(460\) | 15.6943 | − | 36.1598i | 0.731750 | − | 1.68596i | ||||
\(461\) | 12.4266i | 0.578766i | 0.957213 | + | 0.289383i | \(0.0934501\pi\) | ||||
−0.957213 | + | 0.289383i | \(0.906550\pi\) | |||||||
\(462\) | −0.694867 | + | 1.32090i | −0.0323281 | + | 0.0614538i | ||||
\(463\) | 0.231232 | + | 0.231232i | 0.0107462 | + | 0.0107462i | 0.712459 | − | 0.701713i | \(-0.247581\pi\) |
−0.701713 | + | 0.712459i | \(0.747581\pi\) | |||||||
\(464\) | −18.8406 | − | 18.9830i | −0.874653 | − | 0.881263i | ||||
\(465\) | −1.52308 | − | 0.0227095i | −0.0706313 | − | 0.00105313i | ||||
\(466\) | −7.50322 | − | 22.1723i | −0.347580 | − | 1.02711i | ||||
\(467\) | 3.74891 | − | 13.9911i | 0.173479 | − | 0.647433i | −0.823327 | − | 0.567568i | \(-0.807884\pi\) |
0.996806 | − | 0.0798648i | \(-0.0254488\pi\) | |||||||
\(468\) | 17.8828 | − | 23.2148i | 0.826635 | − | 1.07310i | ||||
\(469\) | 27.7646 | + | 16.9762i | 1.28205 | + | 0.783887i | ||||
\(470\) | −11.9642 | + | 7.72278i | −0.551868 | + | 0.356225i | ||||
\(471\) | 3.71438 | − | 2.14450i | 0.171149 | − | 0.0988132i | ||||
\(472\) | 16.8953 | + | 5.78843i | 0.777669 | + | 0.266434i | ||||
\(473\) | 1.01895 | + | 3.80279i | 0.0468516 | + | 0.174852i | ||||
\(474\) | −2.04052 | − | 0.407881i | −0.0937242 | − | 0.0187346i | ||||
\(475\) | −2.06792 | + | 3.34714i | −0.0948827 | + | 0.153577i | ||||
\(476\) | 15.8161 | − | 11.4697i | 0.724929 | − | 0.525711i | ||||
\(477\) | −3.04741 | + | 3.04741i | −0.139531 | + | 0.139531i | ||||
\(478\) | 17.2380 | + | 25.8511i | 0.788447 | + | 1.18240i | ||||
\(479\) | 1.76316 | − | 3.05388i | 0.0805607 | − | 0.139535i | −0.822930 | − | 0.568142i | \(-0.807662\pi\) |
0.903491 | + | 0.428607i | \(0.140996\pi\) | |||||||
\(480\) | −0.722940 | − | 2.27539i | −0.0329975 | − | 0.103857i | ||||
\(481\) | 8.45188 | + | 14.6391i | 0.385373 | + | 0.667485i | ||||
\(482\) | −27.9077 | + | 1.80279i | −1.27116 | + | 0.0821148i | ||||
\(483\) | −3.03308 | − | 3.18984i | −0.138010 | − | 0.145143i | ||||
\(484\) | −12.9587 | + | 1.68123i | −0.589031 | + | 0.0764197i | ||||
\(485\) | −19.9160 | + | 33.3376i | −0.904340 | + | 1.51378i | ||||
\(486\) | 2.27374 | + | 6.71899i | 0.103139 | + | 0.304779i | ||||
\(487\) | −2.11984 | − | 7.91133i | −0.0960589 | − | 0.358497i | 0.901119 | − | 0.433572i | \(-0.142747\pi\) |
−0.997178 | + | 0.0750752i | \(0.976080\pi\) | |||||||
\(488\) | 1.58764 | − | 1.38441i | 0.0718690 | − | 0.0626693i | ||||
\(489\) | − | 0.360363i | − | 0.0162962i | ||||||
\(490\) | −15.6404 | − | 15.6645i | −0.706563 | − | 0.707650i | ||||
\(491\) | −29.3934 | −1.32651 | −0.663254 | − | 0.748395i | \(-0.730825\pi\) | ||||
−0.663254 | + | 0.748395i | \(0.730825\pi\) | |||||||
\(492\) | −0.552627 | − | 0.0738133i | −0.0249144 | − | 0.00332776i | ||||
\(493\) | −23.8461 | + | 6.38955i | −1.07397 | + | 0.287771i | ||||
\(494\) | 1.76312 | + | 5.21009i | 0.0793265 | + | 0.234413i | ||||
\(495\) | −13.5838 | + | 3.42356i | −0.610547 | + | 0.153877i | ||||
\(496\) | −3.68397 | − | 13.9587i | −0.165415 | − | 0.626766i | ||||
\(497\) | −15.8208 | + | 15.0434i | −0.709662 | + | 0.674788i | ||||
\(498\) | −0.198245 | − | 3.06888i | −0.00888356 | − | 0.137520i | ||||
\(499\) | 8.57724 | − | 4.95207i | 0.383970 | − | 0.221685i | −0.295574 | − | 0.955320i | \(-0.595511\pi\) |
0.679544 | + | 0.733635i | \(0.262178\pi\) | |||||||
\(500\) | −21.0348 | + | 7.58523i | −0.940706 | + | 0.339222i | ||||
\(501\) | −3.04288 | − | 1.75681i | −0.135946 | − | 0.0784885i | ||||
\(502\) | 13.6187 | + | 20.4235i | 0.607834 | + | 0.911544i | ||||
\(503\) | 3.98117 | + | 3.98117i | 0.177512 | + | 0.177512i | 0.790270 | − | 0.612759i | \(-0.209940\pi\) |
−0.612759 | + | 0.790270i | \(0.709940\pi\) | |||||||
\(504\) | 22.0865 | + | 2.07019i | 0.983813 | + | 0.0922134i | ||||
\(505\) | −9.20624 | + | 32.4170i | −0.409672 | + | 1.44254i | ||||
\(506\) | −5.16376 | + | 25.8329i | −0.229557 | + | 1.14841i | ||||
\(507\) | 2.08389 | − | 0.558378i | 0.0925489 | − | 0.0247984i | ||||
\(508\) | 0.255254 | + | 0.619533i | 0.0113251 | + | 0.0274873i | ||||
\(509\) | −0.318907 | − | 0.552364i | −0.0141353 | − | 0.0244831i | 0.858871 | − | 0.512192i | \(-0.171166\pi\) |
−0.873007 | + | 0.487708i | \(0.837833\pi\) | |||||||
\(510\) | −2.15432 | − | 0.464134i | −0.0953949 | − | 0.0205522i | ||||
\(511\) | −15.6155 | + | 25.5392i | −0.690789 | + | 1.12979i | ||||
\(512\) | 18.9198 | − | 12.4113i | 0.836146 | − | 0.548508i | ||||
\(513\) | −0.855655 | − | 0.229272i | −0.0377781 | − | 0.0101226i | ||||
\(514\) | −25.0446 | + | 8.47521i | −1.10467 | + | 0.373826i | ||||
\(515\) | 30.5188 | + | 0.455043i | 1.34482 | + | 0.0200516i | ||||
\(516\) | −0.558707 | + | 0.427042i | −0.0245957 | + | 0.0187995i | ||||
\(517\) | 6.72943 | − | 6.72943i | 0.295960 | − | 0.295960i | ||||
\(518\) | −5.95752 | + | 11.3249i | −0.261759 | + | 0.497587i | ||||
\(519\) | −0.552484 | −0.0242513 | ||||||||
\(520\) | −10.5716 | + | 29.4185i | −0.463595 | + | 1.29009i | ||||
\(521\) | −9.53333 | + | 16.5122i | −0.417663 | + | 0.723413i | −0.995704 | − | 0.0925945i | \(-0.970484\pi\) |
0.578041 | + | 0.816008i | \(0.303817\pi\) | |||||||
\(522\) | −25.1286 | − | 12.4215i | −1.09985 | − | 0.543672i | ||||
\(523\) | −19.8989 | − | 5.33189i | −0.870117 | − | 0.233147i | −0.203979 | − | 0.978975i | \(-0.565387\pi\) |
−0.666138 | + | 0.745828i | \(0.732054\pi\) | |||||||
\(524\) | −1.81407 | + | 0.235355i | −0.0792482 | + | 0.0102815i | ||||
\(525\) | −0.137266 | + | 2.49311i | −0.00599078 | + | 0.108808i | ||||
\(526\) | −16.4499 | − | 14.4536i | −0.717249 | − | 0.630206i | ||||
\(527\) | −12.8716 | − | 3.44895i | −0.560698 | − | 0.150239i | ||||
\(528\) | 0.792578 | + | 1.38480i | 0.0344925 | + | 0.0602656i | ||||
\(529\) | −47.3648 | − | 27.3461i | −2.05934 | − | 1.18896i | ||||
\(530\) | 2.09848 | − | 4.09054i | 0.0911520 | − | 0.177682i | ||||
\(531\) | 18.7178 | 0.812282 | ||||||||
\(532\) | −2.62323 | + | 3.23355i | −0.113731 | + | 0.140192i | ||||
\(533\) | 5.16192 | + | 5.16192i | 0.223588 | + | 0.223588i | ||||
\(534\) | −0.288898 | + | 1.44528i | −0.0125018 | + | 0.0625433i | ||||
\(535\) | 32.7278 | + | 0.487980i | 1.41495 | + | 0.0210972i | ||||
\(536\) | 31.2457 | − | 15.2992i | 1.34961 | − | 0.660823i | ||||
\(537\) | 0.978113 | − | 3.65037i | 0.0422087 | − | 0.157525i | ||||
\(538\) | −44.7359 | + | 2.88987i | −1.92870 | + | 0.124591i | ||||
\(539\) | 12.4230 | + | 8.03247i | 0.535097 | + | 0.345983i | ||||
\(540\) | −2.99733 | − | 4.04506i | −0.128985 | − | 0.174072i | ||||
\(541\) | −14.4155 | + | 8.32277i | −0.619769 | + | 0.357824i | −0.776779 | − | 0.629773i | \(-0.783148\pi\) |
0.157010 | + | 0.987597i | \(0.449815\pi\) | |||||||
\(542\) | −32.2926 | − | 15.9627i | −1.38709 | − | 0.685659i | ||||
\(543\) | −0.432595 | + | 0.115914i | −0.0185644 | + | 0.00497433i | ||||
\(544\) | −1.26793 | − | 20.8476i | −0.0543621 | − | 0.893834i | ||||
\(545\) | 18.3830 | + | 5.22067i | 0.787442 | + | 0.223629i | ||||
\(546\) | 2.56339 | + | 2.36932i | 0.109703 | + | 0.101397i | ||||
\(547\) | 7.65777 | + | 7.65777i | 0.327423 | + | 0.327423i | 0.851606 | − | 0.524183i | \(-0.175629\pi\) |
−0.524183 | + | 0.851606i | \(0.675629\pi\) | |||||||
\(548\) | 1.73751 | − | 13.0084i | 0.0742226 | − | 0.555692i | ||||
\(549\) | 1.10385 | − | 1.91193i | 0.0471114 | − | 0.0815993i | ||||
\(550\) | 12.6748 | − | 7.91628i | 0.540455 | − | 0.337551i | ||||
\(551\) | 4.55651 | − | 2.63070i | 0.194114 | − | 0.112072i | ||||
\(552\) | −4.61774 | + | 0.904979i | −0.196544 | + | 0.0385185i | ||||
\(553\) | −5.83825 | + | 19.7819i | −0.248267 | + | 0.841212i | ||||
\(554\) | 22.3278 | − | 25.4117i | 0.948616 | − | 1.07964i | ||||
\(555\) | 1.39962 | − | 0.352750i | 0.0594108 | − | 0.0149734i | ||||
\(556\) | 16.9573 | + | 7.06135i | 0.719148 | + | 0.299468i | ||||
\(557\) | 1.57826 | + | 5.89015i | 0.0668731 | + | 0.249574i | 0.991268 | − | 0.131863i | \(-0.0420960\pi\) |
−0.924395 | + | 0.381437i | \(0.875429\pi\) | |||||||
\(558\) | −8.39425 | − | 12.5885i | −0.355357 | − | 0.532915i | ||||
\(559\) | 9.20757 | 0.389439 | ||||||||
\(560\) | −23.1045 | + | 5.11670i | −0.976345 | + | 0.216220i | ||||
\(561\) | 1.47278 | 0.0621810 | ||||||||
\(562\) | 3.90769 | + | 5.86021i | 0.164836 | + | 0.247198i | ||||
\(563\) | −9.02695 | − | 33.6890i | −0.380441 | − | 1.41982i | −0.845230 | − | 0.534403i | \(-0.820537\pi\) |
0.464789 | − | 0.885421i | \(-0.346130\pi\) | |||||||
\(564\) | 1.56928 | + | 0.653482i | 0.0660788 | + | 0.0275166i | ||||
\(565\) | −24.1030 | − | 14.3992i | −1.01402 | − | 0.605781i | ||||
\(566\) | 20.7795 | − | 23.6496i | 0.873429 | − | 0.994066i | ||||
\(567\) | 22.3269 | − | 5.38373i | 0.937641 | − | 0.226095i | ||||
\(568\) | 4.48848 | + | 22.9029i | 0.188333 | + | 0.960984i | ||||
\(569\) | −9.26458 | + | 5.34891i | −0.388392 | + | 0.224238i | −0.681463 | − | 0.731853i | \(-0.738656\pi\) |
0.293071 | + | 0.956091i | \(0.405323\pi\) | |||||||
\(570\) | 0.469089 | − | 0.0232857i | 0.0196480 | − | 0.000975332i | ||||
\(571\) | −6.82175 | + | 11.8156i | −0.285482 | + | 0.494469i | −0.972726 | − | 0.231958i | \(-0.925487\pi\) |
0.687244 | + | 0.726426i | \(0.258820\pi\) | |||||||
\(572\) | 2.76587 | − | 20.7076i | 0.115647 | − | 0.865829i | ||||
\(573\) | 1.23253 | + | 1.23253i | 0.0514895 | + | 0.0514895i | ||||
\(574\) | −1.21933 | + | 5.39001i | −0.0508937 | + | 0.224975i | ||||
\(575\) | 10.1323 | + | 42.8910i | 0.422547 | + | 1.78868i | ||||
\(576\) | 14.5428 | − | 18.7326i | 0.605949 | − | 0.780523i | ||||
\(577\) | 12.8696 | − | 3.44840i | 0.535769 | − | 0.143559i | 0.0192182 | − | 0.999815i | \(-0.493882\pi\) |
0.516551 | + | 0.856256i | \(0.327216\pi\) | |||||||
\(578\) | 4.26963 | + | 2.11055i | 0.177593 | + | 0.0877872i | ||||
\(579\) | −2.77890 | + | 1.60440i | −0.115487 | + | 0.0666765i | ||||
\(580\) | 29.5769 | + | 4.40028i | 1.22811 | + | 0.182712i | ||||
\(581\) | −30.4720 | − | 0.767580i | −1.26419 | − | 0.0318446i | ||||
\(582\) | 4.62607 | − | 0.298837i | 0.191757 | − | 0.0123872i | ||||
\(583\) | −0.795217 | + | 2.96779i | −0.0329345 | + | 0.122913i | ||||
\(584\) | 14.0729 | + | 28.7413i | 0.582341 | + | 1.18932i | ||||
\(585\) | −0.488448 | + | 32.7592i | −0.0201948 | + | 1.35443i | ||||
\(586\) | 2.32464 | − | 11.6295i | 0.0960299 | − | 0.480412i | ||||
\(587\) | 24.2542 | + | 24.2542i | 1.00108 | + | 1.00108i | 0.999999 | + | 0.00107649i | \(0.000342659\pi\) |
0.00107649 | + | 0.999999i | \(0.499657\pi\) | |||||||
\(588\) | −0.481266 | + | 2.59826i | −0.0198471 | + | 0.107150i | ||||
\(589\) | 2.84000 | 0.117020 | ||||||||
\(590\) | −19.0071 | + | 6.11782i | −0.782509 | + | 0.251867i | ||||
\(591\) | 0.259628 | + | 0.149896i | 0.0106797 | + | 0.00616591i | ||||
\(592\) | 6.79526 | + | 11.8727i | 0.279283 | + | 0.487966i | ||||
\(593\) | −32.0951 | − | 8.59986i | −1.31799 | − | 0.353154i | −0.469765 | − | 0.882792i | \(-0.655661\pi\) |
−0.848224 | + | 0.529638i | \(0.822328\pi\) | |||||||
\(594\) | 2.52757 | + | 2.22083i | 0.103707 | + | 0.0911217i | ||||
\(595\) | −6.49461 | + | 20.8554i | −0.266253 | + | 0.854987i | ||||
\(596\) | −1.55806 | + | 0.202139i | −0.0638205 | + | 0.00827995i | ||||
\(597\) | 0.440627 | + | 0.118066i | 0.0180337 | + | 0.00483211i | ||||
\(598\) | 55.2327 | + | 27.3024i | 2.25863 | + | 1.11648i | ||||
\(599\) | −22.8594 | + | 39.5936i | −0.934009 | + | 1.61775i | −0.157618 | + | 0.987500i | \(0.550381\pi\) |
−0.776391 | + | 0.630251i | \(0.782952\pi\) | |||||||
\(600\) | 2.16985 | + | 1.55462i | 0.0885836 | + | 0.0634669i | ||||
\(601\) | −15.5546 | −0.634486 | −0.317243 | − | 0.948344i | \(-0.602757\pi\) | ||||
−0.317243 | + | 0.948344i | \(0.602757\pi\) | |||||||
\(602\) | 3.71973 | + | 5.89470i | 0.151605 | + | 0.240250i | ||||
\(603\) | 25.7828 | − | 25.7828i | 1.04996 | − | 1.04996i | ||||
\(604\) | 0.312610 | − | 0.238941i | 0.0127199 | − | 0.00972236i | ||||
\(605\) | 10.4835 | − | 10.1754i | 0.426213 | − | 0.413690i | ||||
\(606\) | 3.81050 | − | 1.28949i | 0.154791 | − | 0.0523821i | ||||
\(607\) | 33.3777 | + | 8.94353i | 1.35476 | + | 0.363007i | 0.861889 | − | 0.507096i | \(-0.169281\pi\) |
0.492870 | + | 0.870103i | \(0.335948\pi\) | |||||||
\(608\) | 1.41097 | + | 4.22174i | 0.0572223 | + | 0.171214i | ||||
\(609\) | 1.74180 | − | 2.84872i | 0.0705812 | − | 0.115436i | ||||
\(610\) | −0.496009 | + | 2.30227i | −0.0200828 | + | 0.0932162i | ||||
\(611\) | −11.1288 | − | 19.2757i | −0.450225 | − | 0.779812i | ||||
\(612\) | −8.33886 | − | 20.2395i | −0.337079 | − | 0.818132i | ||||
\(613\) | 1.18217 | − | 0.316762i | 0.0477475 | − | 0.0127939i | −0.234866 | − | 0.972028i | \(-0.575465\pi\) |
0.282614 | + | 0.959234i | \(0.408799\pi\) | |||||||
\(614\) | 5.08747 | − | 25.4512i | 0.205314 | − | 1.02713i | ||||
\(615\) | 0.544418 | − | 0.303589i | 0.0219530 | − | 0.0122419i | ||||
\(616\) | 14.3744 | − | 6.59487i | 0.579162 | − | 0.265715i | ||||
\(617\) | −6.37116 | − | 6.37116i | −0.256493 | − | 0.256493i | 0.567133 | − | 0.823626i | \(-0.308053\pi\) |
−0.823626 | + | 0.567133i | \(0.808053\pi\) | |||||||
\(618\) | −2.02140 | − | 3.03140i | −0.0813125 | − | 0.121941i | ||||
\(619\) | −15.1283 | − | 8.73434i | −0.608058 | − | 0.351063i | 0.164147 | − | 0.986436i | \(-0.447513\pi\) |
−0.772205 | + | 0.635373i | \(0.780846\pi\) | |||||||
\(620\) | 12.6385 | + | 10.0395i | 0.507574 | + | 0.403194i | ||||
\(621\) | −8.59337 | + | 4.96139i | −0.344840 | + | 0.199094i | ||||
\(622\) | 1.47233 | + | 22.7920i | 0.0590350 | + | 0.913878i | ||||
\(623\) | 14.0113 | + | 4.13517i | 0.561351 | + | 0.165672i | ||||
\(624\) | 3.60812 | − | 0.952249i | 0.144440 | − | 0.0381205i | ||||
\(625\) | 13.7682 | − | 20.8671i | 0.550727 | − | 0.834685i | ||||
\(626\) | −6.80051 | − | 20.0958i | −0.271803 | − | 0.803189i | ||||
\(627\) | −0.303187 | + | 0.0812387i | −0.0121081 | + | 0.00324436i | ||||
\(628\) | −45.0470 | − | 6.01683i | −1.79757 | − | 0.240098i | ||||
\(629\) | 12.6271 | 0.503475 | ||||||||
\(630\) | −21.1698 | + | 12.9215i | −0.843425 | + | 0.514806i | ||||
\(631\) | − | 29.3764i | − | 1.16946i | −0.811229 | − | 0.584728i | \(-0.801201\pi\) | ||
0.811229 | − | 0.584728i | \(-0.198799\pi\) | |||||||
\(632\) | 14.4914 | + | 16.6187i | 0.576437 | + | 0.661056i | ||||
\(633\) | 0.633700 | + | 2.36500i | 0.0251873 | + | 0.0940004i | ||||
\(634\) | 9.58888 | + | 28.3355i | 0.380823 | + | 1.12535i | ||||
\(635\) | −0.643123 | − | 0.384204i | −0.0255216 | − | 0.0152467i | ||||
\(636\) | −0.544248 | + | 0.0706097i | −0.0215809 | + | 0.00279986i | ||||
\(637\) | 25.6658 | − | 23.2023i | 1.01692 | − | 0.919308i | ||||
\(638\) | −19.9424 | + | 1.28825i | −0.789529 | + | 0.0510023i | ||||
\(639\) | 12.2302 | + | 21.1833i | 0.483818 | + | 0.837997i | ||||
\(640\) | −8.64491 | + | 23.7753i | −0.341720 | + | 0.939802i | ||||
\(641\) | −8.52622 | + | 14.7679i | −0.336766 | + | 0.583295i | −0.983822 | − | 0.179147i | \(-0.942666\pi\) |
0.647057 | + | 0.762442i | \(0.276000\pi\) | |||||||
\(642\) | −2.16771 | − | 3.25083i | −0.0855527 | − | 0.128300i | ||||
\(643\) | −16.6754 | + | 16.6754i | −0.657614 | + | 0.657614i | −0.954815 | − | 0.297201i | \(-0.903947\pi\) |
0.297201 | + | 0.954815i | \(0.403947\pi\) | |||||||
\(644\) | 4.83418 | + | 46.3898i | 0.190493 | + | 1.82801i | ||||
\(645\) | 0.214789 | − | 0.756316i | 0.00845731 | − | 0.0297799i | ||||
\(646\) | 4.02903 | + | 0.805367i | 0.158520 | + | 0.0316868i | ||||
\(647\) | 5.30789 | + | 19.8093i | 0.208675 | + | 0.778785i | 0.988298 | + | 0.152536i | \(0.0487440\pi\) |
−0.779623 | + | 0.626249i | \(0.784589\pi\) | |||||||
\(648\) | 7.95777 | − | 23.2272i | 0.312611 | − | 0.912450i | ||||
\(649\) | 11.5566 | − | 6.67218i | 0.453635 | − | 0.261906i | ||||
\(650\) | −10.2112 | − | 33.4251i | −0.400516 | − | 1.31104i | ||||
\(651\) | 1.58307 | − | 0.861577i | 0.0620453 | − | 0.0337679i | ||||
\(652\) | −2.33025 | + | 3.02503i | −0.0912595 | + | 0.118469i | ||||
\(653\) | 6.98982 | − | 26.0864i | 0.273533 | − | 1.02084i | −0.683285 | − | 0.730151i | \(-0.739450\pi\) |
0.956818 | − | 0.290687i | \(-0.0938838\pi\) | |||||||
\(654\) | −0.731244 | − | 2.16085i | −0.0285939 | − | 0.0844961i | ||||
\(655\) | 1.46757 | − | 1.42445i | 0.0573427 | − | 0.0556579i | ||||
\(656\) | 4.16166 | + | 4.19312i | 0.162486 | + | 0.163714i | ||||
\(657\) | 23.7163 | + | 23.7163i | 0.925259 | + | 0.925259i | ||||
\(658\) | 7.84444 | − | 14.9118i | 0.305808 | − | 0.581323i | ||||
\(659\) | 41.4810i | 1.61587i | 0.589272 | + | 0.807935i | \(0.299415\pi\) | ||||
−0.589272 | + | 0.807935i | \(0.700585\pi\) | |||||||
\(660\) | −1.63642 | − | 0.710246i | −0.0636974 | − | 0.0276463i | ||||
\(661\) | −29.8156 | − | 17.2140i | −1.15969 | − | 0.669548i | −0.208462 | − | 0.978031i | \(-0.566846\pi\) |
−0.951230 | + | 0.308482i | \(0.900179\pi\) | |||||||
\(662\) | 14.1246 | − | 28.5740i | 0.548968 | − | 1.11056i | ||||
\(663\) | 0.891501 | − | 3.32713i | 0.0346230 | − | 0.129215i | ||||
\(664\) | −18.1804 | + | 27.0433i | −0.705537 | + | 1.04948i | ||||
\(665\) | 0.186596 | − | 4.65153i | 0.00723588 | − | 0.180378i | ||||
\(666\) | 10.7705 | + | 9.46340i | 0.417347 | + | 0.366699i | ||||
\(667\) | 15.2537 | − | 56.9277i | 0.590626 | − | 2.20425i | ||||
\(668\) | 14.1829 | + | 34.4238i | 0.548755 | + | 1.33190i | ||||
\(669\) | 0.668255 | − | 1.15745i | 0.0258362 | − | 0.0447497i | ||||
\(670\) | −17.7543 | + | 34.6083i | −0.685908 | + | 1.33703i | ||||
\(671\) | − | 1.57393i | − | 0.0607609i | ||||||
\(672\) | 2.06726 | + | 1.92523i | 0.0797463 | + | 0.0742673i | ||||
\(673\) | −14.3950 | + | 14.3950i | −0.554887 | + | 0.554887i | −0.927847 | − | 0.372960i | \(-0.878343\pi\) |
0.372960 | + | 0.927847i | \(0.378343\pi\) | |||||||
\(674\) | 4.23029 | − | 21.1630i | 0.162945 | − | 0.815168i | ||||
\(675\) | 5.39113 | + | 1.61829i | 0.207505 | + | 0.0622878i | ||||
\(676\) | −21.1037 | − | 8.78801i | −0.811680 | − | 0.338000i | ||||
\(677\) | 0.853942 | + | 0.228813i | 0.0328197 | + | 0.00879400i | 0.275192 | − | 0.961389i | \(-0.411259\pi\) |
−0.242372 | + | 0.970183i | \(0.577925\pi\) | |||||||
\(678\) | 0.216058 | + | 3.34464i | 0.00829767 | + | 0.128450i | ||||
\(679\) | 1.15706 | − | 45.9339i | 0.0444039 | − | 1.76278i | ||||
\(680\) | 15.0829 | + | 17.8268i | 0.578404 | + | 0.683625i | ||||
\(681\) | 1.34014 | + | 2.32118i | 0.0513541 | + | 0.0889479i | ||||
\(682\) | −9.67004 | − | 4.78005i | −0.370285 | − | 0.183038i | ||||
\(683\) | 0.360924 | + | 1.34699i | 0.0138104 | + | 0.0515410i | 0.972487 | − | 0.232956i | \(-0.0748400\pi\) |
−0.958677 | + | 0.284497i | \(0.908173\pi\) | |||||||
\(684\) | 2.83304 | + | 3.70652i | 0.108324 | + | 0.141722i | ||||
\(685\) | 7.14624 | + | 12.8152i | 0.273044 | + | 0.489642i | ||||
\(686\) | 25.2227 | + | 7.05788i | 0.963009 | + | 0.269471i | ||||
\(687\) | 1.07055 | − | 1.07055i | 0.0408439 | − | 0.0408439i | ||||
\(688\) | 7.45141 | + | 0.0280513i | 0.284082 | + | 0.00106945i | ||||
\(689\) | 6.22309 | + | 3.59290i | 0.237081 | + | 0.136879i | ||||
\(690\) | 3.53107 | − | 3.89995i | 0.134426 | − | 0.148469i | ||||
\(691\) | 17.7506 | + | 30.7450i | 0.675265 | + | 1.16959i | 0.976391 | + | 0.216009i | \(0.0693041\pi\) |
−0.301126 | + | 0.953584i | \(0.597363\pi\) | |||||||
\(692\) | 4.63776 | + | 3.57257i | 0.176301 | + | 0.135809i | ||||
\(693\) | 12.0119 | − | 11.4216i | 0.456293 | − | 0.433870i | ||||
\(694\) | −19.9364 | − | 17.5169i | −0.756774 | − | 0.664934i | ||||
\(695\) | −19.9142 | + | 5.01901i | −0.755387 | + | 0.190382i | ||||
\(696\) | −1.56973 | − | 3.20589i | −0.0595006 | − | 0.121519i | ||||
\(697\) | 5.26732 | − | 1.41137i | 0.199514 | − | 0.0534596i | ||||
\(698\) | 22.9741 | + | 34.4533i | 0.869583 | + | 1.30408i | ||||
\(699\) | − | 3.12406i | − | 0.118163i | ||||||
\(700\) | 17.2736 | − | 20.0405i | 0.652882 | − | 0.757459i | ||||
\(701\) | 17.7937i | 0.672058i | 0.941852 | + | 0.336029i | \(0.109084\pi\) | ||||
−0.941852 | + | 0.336029i | \(0.890916\pi\) | |||||||
\(702\) | 6.54699 | − | 4.36565i | 0.247100 | − | 0.164771i | ||||
\(703\) | −2.59941 | + | 0.696509i | −0.0980385 | + | 0.0262693i | ||||
\(704\) | 2.30143 | − | 16.7496i | 0.0867382 | − | 0.631276i | ||||
\(705\) | −1.84293 | + | 0.464477i | −0.0694086 | + | 0.0174932i | ||||
\(706\) | −23.0051 | + | 26.1825i | −0.865808 | + | 0.985393i | ||||
\(707\) | −9.34679 | − | 38.7621i | −0.351522 | − | 1.45780i | ||||
\(708\) | 1.88829 | + | 1.45459i | 0.0709663 | + | 0.0546669i | ||||
\(709\) | −10.4662 | − | 18.1280i | −0.393067 | − | 0.680811i | 0.599786 | − | 0.800161i | \(-0.295252\pi\) |
−0.992852 | + | 0.119349i | \(0.961919\pi\) | |||||||
\(710\) | −19.3428 | − | 17.5133i | −0.725924 | − | 0.657262i | ||||
\(711\) | 20.0133 | + | 11.5547i | 0.750556 | + | 0.433334i | ||||
\(712\) | 11.7708 | − | 10.2641i | 0.441131 | − | 0.384664i | ||||
\(713\) | 22.4947 | − | 22.4947i | 0.842435 | − | 0.842435i | ||||
\(714\) | 2.49018 | − | 0.773371i | 0.0931928 | − | 0.0289427i | ||||
\(715\) | 11.3758 | + | 20.4000i | 0.425432 | + | 0.762916i | ||||
\(716\) | −31.8153 | + | 24.3177i | −1.18899 | + | 0.908796i | ||||
\(717\) | 1.07330 | + | 4.00561i | 0.0400831 | + | 0.149592i | ||||
\(718\) | −5.51957 | + | 11.1661i | −0.205989 | + | 0.416715i | ||||
\(719\) | 6.70601 | + | 11.6151i | 0.250092 | + | 0.433172i | 0.963551 | − | 0.267525i | \(-0.0862059\pi\) |
−0.713459 | + | 0.700697i | \(0.752873\pi\) | |||||||
\(720\) | −0.495089 | + | 26.5096i | −0.0184509 | + | 0.987953i | ||||
\(721\) | −31.7207 | + | 17.2639i | −1.18134 | + | 0.642939i | ||||
\(722\) | 25.9403 | − | 1.67570i | 0.965399 | − | 0.0623632i | ||||
\(723\) | −3.60526 | − | 0.966026i | −0.134081 | − | 0.0359269i | ||||
\(724\) | 4.38091 | + | 1.82430i | 0.162815 | + | 0.0677997i | ||||
\(725\) | −29.4384 | + | 15.8453i | −1.09331 | + | 0.588480i | ||||
\(726\) | −1.71018 | − | 0.341850i | −0.0634708 | − | 0.0126872i | ||||
\(727\) | −11.0502 | + | 11.0502i | −0.409830 | + | 0.409830i | −0.881679 | − | 0.471850i | \(-0.843587\pi\) |
0.471850 | + | 0.881679i | \(0.343587\pi\) | |||||||
\(728\) | −6.19721 | − | 36.4648i | −0.229684 | − | 1.35148i | ||||
\(729\) | − | 25.0952i | − | 0.929453i | ||||||
\(730\) | −31.8344 | − | 16.3313i | −1.17824 | − | 0.604447i | ||||
\(731\) | 3.43902 | − | 5.95656i | 0.127197 | − | 0.220311i | ||||
\(732\) | 0.259939 | − | 0.107097i | 0.00960761 | − | 0.00395843i | ||||
\(733\) | 4.94187 | − | 18.4433i | 0.182532 | − | 0.681219i | −0.812613 | − | 0.582803i | \(-0.801956\pi\) |
0.995145 | − | 0.0984159i | \(-0.0313775\pi\) | |||||||
\(734\) | 21.1078 | − | 24.0232i | 0.779103 | − | 0.886712i | ||||
\(735\) | −1.30713 | − | 2.64945i | −0.0482143 | − | 0.0977266i | ||||
\(736\) | 44.6150 | + | 22.2633i | 1.64453 | + | 0.820636i | ||||
\(737\) | 6.72798 | − | 25.1092i | 0.247828 | − | 0.924908i | ||||
\(738\) | 5.55060 | + | 2.74375i | 0.204320 | + | 0.100999i | ||||
\(739\) | −14.0171 | − | 8.09276i | −0.515626 | − | 0.297697i | 0.219517 | − | 0.975609i | \(-0.429552\pi\) |
−0.735143 | + | 0.677912i | \(0.762885\pi\) | |||||||
\(740\) | −14.0300 | − | 6.08938i | −0.515753 | − | 0.223850i | ||||
\(741\) | 0.734096i | 0.0269677i | ||||||||
\(742\) | 0.213858 | + | 5.43551i | 0.00785099 | + | 0.199544i | ||||
\(743\) | −24.5959 | − | 24.5959i | −0.902336 | − | 0.902336i | 0.0933023 | − | 0.995638i | \(-0.470258\pi\) |
−0.995638 | + | 0.0933023i | \(0.970258\pi\) | |||||||
\(744\) | 0.131445 | − | 1.92229i | 0.00481902 | − | 0.0704745i | ||||
\(745\) | 1.26046 | − | 1.22342i | 0.0461795 | − | 0.0448227i | ||||
\(746\) | −3.36585 | + | 1.13902i | −0.123233 | + | 0.0417025i | ||||
\(747\) | −8.83934 | + | 32.9889i | −0.323414 | + | 1.20700i | ||||
\(748\) | −12.3631 | − | 9.52358i | −0.452040 | − | 0.348216i | ||||
\(749\) | −34.0167 | + | 18.5135i | −1.24294 | + | 0.676467i | ||||
\(750\) | −2.98376 | + | 0.0590303i | −0.108952 | + | 0.00215548i | ||||
\(751\) | 24.0054 | − | 13.8595i | 0.875969 | − | 0.505741i | 0.00664199 | − | 0.999978i | \(-0.497886\pi\) |
0.869327 | + | 0.494237i | \(0.164552\pi\) | |||||||
\(752\) | −8.94752 | − | 15.6332i | −0.326282 | − | 0.570083i | ||||
\(753\) | 0.847951 | + | 3.16460i | 0.0309011 | + | 0.115324i | ||||
\(754\) | −9.16125 | + | 45.8312i | −0.333633 | + | 1.66907i | ||||
\(755\) | −0.120180 | + | 0.423177i | −0.00437379 | + | 0.0154010i | ||||
\(756\) | 5.43979 | + | 2.42773i | 0.197843 | + | 0.0882957i | ||||
\(757\) | −12.9796 | + | 12.9796i | −0.471750 | + | 0.471750i | −0.902480 | − | 0.430731i | \(-0.858256\pi\) |
0.430731 | + | 0.902480i | \(0.358256\pi\) | |||||||
\(758\) | −31.1044 | + | 20.7410i | −1.12976 | + | 0.753346i | ||||
\(759\) | −1.75798 | + | 3.04492i | −0.0638108 | + | 0.110523i | ||||
\(760\) | −4.08829 | − | 2.83784i | −0.148298 | − | 0.102939i | ||||
\(761\) | 20.9620 | + | 36.3072i | 0.759871 | + | 1.31613i | 0.942916 | + | 0.333030i | \(0.108071\pi\) |
−0.183045 | + | 0.983104i | \(0.558596\pi\) | |||||||
\(762\) | 0.00576492 | + | 0.0892425i | 0.000208841 | + | 0.00323291i | ||||
\(763\) | −21.9812 | + | 5.30037i | −0.795772 | + | 0.191886i | ||||
\(764\) | −2.37632 | − | 18.3163i | −0.0859722 | − | 0.662660i | ||||
\(765\) | 21.0101 | + | 12.5515i | 0.759623 | + | 0.453801i | ||||
\(766\) | −9.04344 | + | 3.06035i | −0.326753 | + | 0.110575i | ||||
\(767\) | −8.07757 | − | 30.1459i | −0.291664 | − | 1.08850i | ||||
\(768\) | 2.92285 | − | 0.759635i | 0.105469 | − | 0.0274110i | ||||
\(769\) | 11.5158i | 0.415271i | 0.978206 | + | 0.207636i | \(0.0665769\pi\) | ||||
−0.978206 | + | 0.207636i | \(0.933423\pi\) | |||||||
\(770\) | −8.46442 | + | 15.5241i | −0.305037 | + | 0.559451i | ||||
\(771\) | −3.52876 | −0.127085 | ||||||||
\(772\) | 33.7018 | + | 4.50148i | 1.21295 | + | 0.162012i | ||||
\(773\) | 10.8873 | − | 2.91724i | 0.391588 | − | 0.104926i | −0.0576520 | − | 0.998337i | \(-0.518361\pi\) |
0.449240 | + | 0.893411i | \(0.351695\pi\) | |||||||
\(774\) | 7.39752 | − | 2.50336i | 0.265898 | − | 0.0899814i | ||||
\(775\) | −18.0378 | − | 0.538017i | −0.647938 | − | 0.0193261i | ||||
\(776\) | −40.7654 | − | 27.4054i | −1.46339 | − | 0.983796i | ||||
\(777\) | −1.23766 | + | 1.17684i | −0.0444007 | + | 0.0422187i | ||||
\(778\) | 3.47980 | − | 0.224789i | 0.124757 | − | 0.00805909i | ||||
\(779\) | −1.00648 | + | 0.581090i | −0.0360608 | + | 0.0208197i | ||||
\(780\) | −2.59505 | + | 3.26686i | −0.0929176 | + | 0.116972i | ||||
\(781\) | 15.1021 | + | 8.71919i | 0.540395 | + | 0.311997i | ||||
\(782\) | 38.2918 | − | 25.5337i | 1.36931 | − | 0.913082i | ||||
\(783\) | −5.32255 | − | 5.32255i | −0.190213 | − | 0.190213i | ||||
\(784\) | 20.8412 | − | 18.6987i | 0.744330 | − | 0.667812i | ||||
\(785\) | 44.3778 | − | 24.7468i | 1.58391 | − | 0.883252i | ||||
\(786\) | −0.239407 | − | 0.0478552i | −0.00853936 | − | 0.00170694i | ||||
\(787\) | 16.3246 | − | 4.37416i | 0.581908 | − | 0.155922i | 0.0441558 | − | 0.999025i | \(-0.485940\pi\) |
0.537752 | + | 0.843103i | \(0.319274\pi\) | |||||||
\(788\) | −1.21013 | − | 2.93714i | −0.0431091 | − | 0.104631i | ||||
\(789\) | −1.46127 | − | 2.53099i | −0.0520226 | − | 0.0901058i | ||||
\(790\) | −24.0992 | − | 5.19200i | −0.857409 | − | 0.184723i | ||||
\(791\) | 33.2101 | + | 0.836552i | 1.18082 | + | 0.0297444i | ||||
\(792\) | −3.40785 | − | 17.3889i | −0.121093 | − | 0.617886i | ||||
\(793\) | −3.55562 | − | 0.952726i | −0.126264 | − | 0.0338323i | ||||
\(794\) | 8.85114 | + | 26.1555i | 0.314115 | + | 0.928223i | ||||
\(795\) | 0.440292 | − | 0.427355i | 0.0156156 | − | 0.0151567i | ||||
\(796\) | −2.93534 | − | 3.84035i | −0.104040 | − | 0.136118i | ||||
\(797\) | 36.7645 | − | 36.7645i | 1.30227 | − | 1.30227i | 0.375407 | − | 0.926860i | \(-0.377503\pi\) |
0.926860 | − | 0.375407i | \(-0.122497\pi\) | |||||||
\(798\) | −0.469969 | + | 0.296564i | −0.0166367 | + | 0.0104983i | ||||
\(799\) | −16.6265 | −0.588202 | ||||||||
\(800\) | −8.16178 | − | 27.0811i | −0.288563 | − | 0.957461i | ||||
\(801\) | 8.18405 | − | 14.1752i | 0.289169 | − | 0.500855i | ||||
\(802\) | −10.7195 | + | 21.6855i | −0.378518 | + | 0.765741i | ||||
\(803\) | 23.0966 | + | 6.18872i | 0.815062 | + | 0.218395i | ||||
\(804\) | 4.60465 | − | 0.597398i | 0.162393 | − | 0.0210686i | ||||
\(805\) | −35.3653 | − | 38.3213i | −1.24646 | − | 1.35065i | ||||
\(806\) | −16.6519 | + | 18.9519i | −0.586539 | + | 0.667551i | ||||
\(807\) | −5.77921 | − | 1.54854i | −0.203438 | − | 0.0545110i | ||||
\(808\) | −40.3252 | − | 13.8156i | −1.41863 | − | 0.486033i | ||||
\(809\) | −16.4165 | − | 9.47808i | −0.577174 | − | 0.333231i | 0.182836 | − | 0.983143i | \(-0.441472\pi\) |
−0.760009 | + | 0.649912i | \(0.774806\pi\) | |||||||
\(810\) | 8.41061 | + | 26.1304i | 0.295519 | + | 0.918128i | ||||
\(811\) | 40.8098 | 1.43302 | 0.716512 | − | 0.697575i | \(-0.245737\pi\) | ||||
0.716512 | + | 0.697575i | \(0.245737\pi\) | |||||||
\(812\) | −33.0422 | + | 12.6501i | −1.15955 | + | 0.443932i | ||||
\(813\) | −3.39956 | − | 3.39956i | −0.119228 | − | 0.119228i | ||||
\(814\) | 10.0232 | + | 2.00354i | 0.351311 | + | 0.0702239i | ||||
\(815\) | 0.0636477 | − | 4.26872i | 0.00222948 | − | 0.149527i | ||||
\(816\) | 0.731602 | − | 2.68983i | 0.0256112 | − | 0.0941629i | ||||
\(817\) | −0.379392 | + | 1.41591i | −0.0132733 | + | 0.0495365i | ||||
\(818\) | −1.23493 | − | 19.1171i | −0.0431784 | − | 0.668414i | ||||
\(819\) | −18.5312 | − | 34.0493i | −0.647533 | − | 1.18978i | ||||
\(820\) | −6.53317 | − | 0.971969i | −0.228148 | − | 0.0339426i | ||||
\(821\) | 29.1133 | − | 16.8086i | 1.01606 | − | 0.586624i | 0.103101 | − | 0.994671i | \(-0.467123\pi\) |
0.912961 | + | 0.408047i | \(0.133790\pi\) | |||||||
\(822\) | 0.776179 | − | 1.57021i | 0.0270724 | − | 0.0547673i | ||||
\(823\) | 17.7351 | − | 4.75211i | 0.618208 | − | 0.165648i | 0.0638949 | − | 0.997957i | \(-0.479648\pi\) |
0.554313 | + | 0.832308i | \(0.312981\pi\) | |||||||
\(824\) | −2.63383 | + | 38.5179i | −0.0917540 | + | 1.34183i | ||||
\(825\) | 1.94104 | − | 0.458539i | 0.0675782 | − | 0.0159643i | ||||
\(826\) | 16.0362 | − | 17.3498i | 0.557971 | − | 0.603676i | ||||
\(827\) | −24.2141 | − | 24.2141i | −0.842008 | − | 0.842008i | 0.147112 | − | 0.989120i | \(-0.453002\pi\) |
−0.989120 | + | 0.147112i | \(0.953002\pi\) | |||||||
\(828\) | 51.7979 | + | 6.91853i | 1.80010 | + | 0.240436i | ||||
\(829\) | −4.27465 | + | 7.40391i | −0.148465 | + | 0.257148i | −0.930660 | − | 0.365885i | \(-0.880766\pi\) |
0.782196 | + | 0.623033i | \(0.214100\pi\) | |||||||
\(830\) | −1.80630 | − | 36.3878i | −0.0626976 | − | 1.26304i | ||||
\(831\) | 3.90986 | − | 2.25736i | 0.135632 | − | 0.0783069i | ||||
\(832\) | −36.4456 | − | 15.3379i | −1.26352 | − | 0.531747i | ||||
\(833\) | −5.42386 | − | 25.2697i | −0.187926 | − | 0.875544i | ||||
\(834\) | 1.84167 | + | 1.61817i | 0.0637717 | + | 0.0560325i | ||||
\(835\) | −35.7345 | − | 21.3479i | −1.23664 | − | 0.738775i | ||||
\(836\) | 3.07039 | + | 1.27857i | 0.106192 | + | 0.0442203i | ||||
\(837\) | −1.05159 | − | 3.92460i | −0.0363484 | − | 0.135654i | ||||
\(838\) | −13.1428 | + | 8.76384i | −0.454009 | + | 0.302742i | ||||
\(839\) | 8.83480 | 0.305011 | 0.152506 | − | 0.988303i | \(-0.451266\pi\) | ||||
0.152506 | + | 0.988303i | \(0.451266\pi\) | |||||||
\(840\) | −3.13981 | − | 0.341589i | −0.108334 | − | 0.0117859i | ||||
\(841\) | 15.7076 | 0.541642 | ||||||||
\(842\) | −32.4044 | + | 21.6078i | −1.11673 | + | 0.744655i | ||||
\(843\) | 0.243307 | + | 0.908033i | 0.00837993 | + | 0.0312743i | ||||
\(844\) | 9.97347 | − | 23.9505i | 0.343301 | − | 0.824409i | ||||
\(845\) | 24.7836 | − | 6.24626i | 0.852582 | − | 0.214878i | ||||
\(846\) | −14.1818 | − | 12.4607i | −0.487580 | − | 0.428409i | ||||
\(847\) | −4.89310 | + | 16.5794i | −0.168129 | + | 0.569675i | ||||
\(848\) | 5.02522 | + | 2.92659i | 0.172567 | + | 0.100500i | ||||
\(849\) | 3.63875 | − | 2.10083i | 0.124881 | − | 0.0721003i | ||||
\(850\) | −25.4373 | − | 5.87844i | −0.872491 | − | 0.201629i | ||||
\(851\) | −15.0723 | + | 26.1059i | −0.516671 | + | 0.894900i | ||||
\(852\) | −0.412383 | + | 3.08744i | −0.0141280 | + | 0.105774i | ||||
\(853\) | 12.6557 | + | 12.6557i | 0.433323 | + | 0.433323i | 0.889757 | − | 0.456434i | \(-0.150874\pi\) |
−0.456434 | + | 0.889757i | \(0.650874\pi\) | |||||||
\(854\) | −0.826484 | − | 2.66120i | −0.0282817 | − | 0.0910644i | ||||
\(855\) | −5.01748 | − | 1.42493i | −0.171594 | − | 0.0487317i | ||||
\(856\) | −2.82448 | + | 41.3059i | −0.0965387 | + | 1.41181i | ||||
\(857\) | −8.44993 | + | 2.26415i | −0.288644 | + | 0.0773419i | −0.400236 | − | 0.916412i | \(-0.631072\pi\) |
0.111592 | + | 0.993754i | \(0.464405\pi\) | |||||||
\(858\) | 1.23557 | − | 2.49956i | 0.0421817 | − | 0.0853335i | ||||
\(859\) | 29.7627 | − | 17.1835i | 1.01549 | − | 0.586293i | 0.102695 | − | 0.994713i | \(-0.467253\pi\) |
0.912794 | + | 0.408420i | \(0.133920\pi\) | |||||||
\(860\) | −6.69364 | + | 4.95990i | −0.228251 | + | 0.169131i | ||||
\(861\) | −0.384742 | + | 0.629248i | −0.0131120 | + | 0.0214447i | ||||
\(862\) | 0.688387 | + | 10.6564i | 0.0234465 | + | 0.362959i | ||||
\(863\) | 13.0750 | − | 48.7964i | 0.445077 | − | 1.66105i | −0.270658 | − | 0.962676i | \(-0.587241\pi\) |
0.715734 | − | 0.698373i | \(-0.246092\pi\) | |||||||
\(864\) | 5.31159 | − | 3.51305i | 0.180704 | − | 0.119516i | ||||
\(865\) | −6.54450 | − | 0.0975802i | −0.222520 | − | 0.00331783i | ||||
\(866\) | −24.0974 | − | 4.81686i | −0.818864 | − | 0.163684i | ||||
\(867\) | 0.449480 | + | 0.449480i | 0.0152651 | + | 0.0152651i | ||||
\(868\) | −18.8602 | − | 3.00430i | −0.640155 | − | 0.101973i | ||||
\(869\) | 16.4752 | 0.558883 | ||||||||
\(870\) | 3.55090 | + | 1.82164i | 0.120387 | + | 0.0617593i | ||||
\(871\) | −52.6509 | − | 30.3980i | −1.78401 | − | 1.03000i | ||||
\(872\) | −7.83456 | + | 22.8675i | −0.265312 | + | 0.774393i | ||||
\(873\) | −49.7278 | − | 13.3245i | −1.68303 | − | 0.450967i | ||||
\(874\) | −6.47431 | + | 7.36853i | −0.218997 | + | 0.249244i | ||||
\(875\) | −2.06633 | + | 29.5081i | −0.0698548 | + | 0.997557i | ||||
\(876\) | 0.549516 | + | 4.23558i | 0.0185664 | + | 0.143107i | ||||
\(877\) | 16.5892 | + | 4.44506i | 0.560177 | + | 0.150099i | 0.527788 | − | 0.849376i | \(-0.323022\pi\) |
0.0323894 | + | 0.999475i | \(0.489688\pi\) | |||||||
\(878\) | 2.31163 | − | 4.67643i | 0.0780139 | − | 0.157822i | ||||
\(879\) | 0.791415 | − | 1.37077i | 0.0266938 | − | 0.0462350i | ||||
\(880\) | 9.14398 | + | 16.5438i | 0.308244 | + | 0.557690i | ||||
\(881\) | −30.1789 | −1.01675 | −0.508377 | − | 0.861135i | \(-0.669754\pi\) | ||||
−0.508377 | + | 0.861135i | \(0.669754\pi\) | |||||||
\(882\) | 14.3121 | − | 25.6191i | 0.481913 | − | 0.862642i | ||||
\(883\) | 15.5342 | − | 15.5342i | 0.522768 | − | 0.522768i | −0.395638 | − | 0.918406i | \(-0.629477\pi\) |
0.918406 | + | 0.395638i | \(0.129477\pi\) | |||||||
\(884\) | −28.9981 | + | 22.1644i | −0.975310 | + | 0.745469i | ||||
\(885\) | −2.66463 | − | 0.0397303i | −0.0895706 | − | 0.00133552i | ||||
\(886\) | 3.93346 | + | 11.6235i | 0.132147 | + | 0.390500i | ||||
\(887\) | −38.7481 | − | 10.3825i | −1.30103 | − | 0.348611i | −0.459192 | − | 0.888337i | \(-0.651861\pi\) |
−0.841841 | + | 0.539726i | \(0.818528\pi\) | |||||||
\(888\) | 0.351131 | + | 1.79168i | 0.0117832 | + | 0.0601248i | ||||
\(889\) | 0.886121 | + | 0.0223211i | 0.0297195 | + | 0.000748625i | ||||
\(890\) | −3.67744 | + | 17.0692i | −0.123268 | + | 0.572160i | ||||
\(891\) | −9.17273 | − | 15.8876i | −0.307298 | − | 0.532256i | ||||
\(892\) | −13.0941 | + | 5.39490i | −0.438423 | + | 0.180635i | ||||
\(893\) | 3.42272 | − | 0.917114i | 0.114537 | − | 0.0306901i | ||||
\(894\) | −0.205620 | − | 0.0411015i | −0.00687696 | − | 0.00137464i | ||||
\(895\) | 12.2311 | − | 43.0681i | 0.408840 | − | 1.43961i | ||||
\(896\) | −4.90413 | − | 29.5288i | −0.163835 | − | 0.986488i | ||||
\(897\) | 5.81455 | + | 5.81455i | 0.194142 | + | 0.194142i | ||||
\(898\) | −5.89258 | + | 3.92928i | −0.196638 | + | 0.131122i | ||||
\(899\) | 20.8992 | + | 12.0661i | 0.697026 | + | 0.402428i | ||||
\(900\) | −17.2915 | − | 24.0781i | −0.576383 | − | 0.802604i | ||||
\(901\) | 4.64864 | − | 2.68389i | 0.154869 | − | 0.0894135i | ||||
\(902\) | 4.40505 | − | 0.284559i | 0.146672 | − | 0.00947477i | ||||
\(903\) | 0.218068 | + | 0.904352i | 0.00725686 | + | 0.0300950i | ||||
\(904\) | 19.8140 | − | 29.4733i | 0.659005 | − | 0.980268i | ||||
\(905\) | −5.14483 | + | 1.29666i | −0.171020 | + | 0.0431025i | ||||
\(906\) | 0.0497429 | − | 0.0168333i | 0.00165260 | − | 0.000559247i | ||||
\(907\) | −50.2537 | + | 13.4654i | −1.66865 | + | 0.447112i | −0.964745 | − | 0.263185i | \(-0.915227\pi\) |
−0.703901 | + | 0.710298i | \(0.748560\pi\) | |||||||
\(908\) | 3.76003 | − | 28.1507i | 0.124781 | − | 0.934215i | ||||
\(909\) | −44.6750 | −1.48178 | ||||||||
\(910\) | 29.9465 | + | 28.5188i | 0.992716 | + | 0.945388i | ||||
\(911\) | 5.09270i | 0.168729i | 0.996435 | + | 0.0843644i | \(0.0268860\pi\) | ||||
−0.996435 | + | 0.0843644i | \(0.973114\pi\) | |||||||
\(912\) | −0.00223646 | + | 0.594083i | −7.40566e−5 | + | 0.0196720i | ||||
\(913\) | 6.30178 | + | 23.5186i | 0.208559 | + | 0.778351i | ||||
\(914\) | 3.31115 | − | 1.12051i | 0.109523 | − | 0.0370631i | ||||
\(915\) | −0.161201 | + | 0.269836i | −0.00532915 | + | 0.00892052i | ||||
\(916\) | −15.9091 | + | 2.06402i | −0.525653 | + | 0.0681972i | ||||
\(917\) | −0.684980 | + | 2.32094i | −0.0226200 | + | 0.0766441i | ||||
\(918\) | −0.378930 | − | 5.86594i | −0.0125066 | − | 0.193605i | ||||
\(919\) | 10.2560 | + | 17.7639i | 0.338313 | + | 0.585975i | 0.984116 | − | 0.177529i | \(-0.0568104\pi\) |
−0.645802 | + | 0.763505i | \(0.723477\pi\) | |||||||
\(920\) | −54.8597 | + | 9.90444i | −1.80867 | + | 0.326540i | ||||
\(921\) | 1.73201 | − | 2.99993i | 0.0570717 | − | 0.0988511i | ||||
\(922\) | 14.6214 | − | 9.74979i | 0.481529 | − | 0.321092i | ||||
\(923\) | 28.8388 | − | 28.8388i | 0.949241 | − | 0.949241i | ||||
\(924\) | 2.09937 | − | 0.218771i | 0.0690643 | − | 0.00719705i | ||||
\(925\) | 16.6417 | − | 3.93134i | 0.547176 | − | 0.129262i | ||||
\(926\) | 0.0906489 | − | 0.453492i | 0.00297891 | − | 0.0149027i | ||||
\(927\) | 10.4727 | + | 39.0847i | 0.343969 | + | 1.28371i | ||||
\(928\) | −7.55355 | + | 37.0619i | −0.247958 | + | 1.21662i | ||||
\(929\) | 8.67074 | − | 5.00605i | 0.284478 | − | 0.164243i | −0.350971 | − | 0.936386i | \(-0.614148\pi\) |
0.635449 | + | 0.772143i | \(0.280815\pi\) | |||||||
\(930\) | 1.16827 | + | 1.80990i | 0.0383091 | + | 0.0593489i | ||||
\(931\) | 2.51043 | + | 4.90284i | 0.0822761 | + | 0.160684i | ||||
\(932\) | −20.2013 | + | 26.2245i | −0.661716 | + | 0.859013i | ||||
\(933\) | −0.788948 | + | 2.94439i | −0.0258290 | + | 0.0963951i | ||||
\(934\) | −19.4035 | + | 6.56625i | −0.634903 | + | 0.214854i | ||||
\(935\) | 17.4460 | + | 0.260125i | 0.570546 | + | 0.00850698i | ||||
\(936\) | −41.3455 | − | 2.82719i | −1.35142 | − | 0.0924095i | ||||
\(937\) | 29.0201 | + | 29.0201i | 0.948045 | + | 0.948045i | 0.998715 | − | 0.0506708i | \(-0.0161359\pi\) |
−0.0506708 | + | 0.998715i | \(0.516136\pi\) | |||||||
\(938\) | −1.80936 | − | 45.9875i | −0.0590778 | − | 1.50155i | ||||
\(939\) | − | 2.83148i | − | 0.0924017i | ||||||
\(940\) | 18.4737 | + | 8.01806i | 0.602546 | + | 0.261520i | ||||
\(941\) | 15.4083 | + | 8.89596i | 0.502295 | + | 0.290000i | 0.729661 | − | 0.683809i | \(-0.239678\pi\) |
−0.227366 | + | 0.973809i | \(0.573011\pi\) | |||||||
\(942\) | −5.43750 | − | 2.68784i | −0.177163 | − | 0.0875747i | ||||
\(943\) | −3.36936 | + | 12.5746i | −0.109722 | + | 0.409487i | ||||
\(944\) | −6.44510 | − | 24.4208i | −0.209770 | − | 0.794829i | ||||
\(945\) | −6.49705 | + | 1.46451i | −0.211349 | + | 0.0476405i | ||||
\(946\) | 3.67496 | − | 4.18254i | 0.119483 | − | 0.135986i | ||||
\(947\) | −12.8258 | + | 47.8664i | −0.416782 | + | 1.55545i | 0.364459 | + | 0.931220i | \(0.381254\pi\) |
−0.781240 | + | 0.624231i | \(0.785413\pi\) | |||||||
\(948\) | 1.12105 | + | 2.72092i | 0.0364099 | + | 0.0883715i | ||||
\(949\) | 27.9616 | − | 48.4308i | 0.907670 | − | 1.57213i | ||||
\(950\) | 5.56076 | − | 0.192983i | 0.180415 | − | 0.00626118i | ||||
\(951\) | 3.99244i | 0.129464i | ||||||||
\(952\) | −25.9045 | − | 9.61049i | −0.839569 | − | 0.311478i | ||||
\(953\) | 7.97349 | − | 7.97349i | 0.258287 | − | 0.258287i | −0.566070 | − | 0.824357i | \(-0.691537\pi\) |
0.824357 | + | 0.566070i | \(0.191537\pi\) | |||||||
\(954\) | 5.97658 | + | 1.19466i | 0.193499 | + | 0.0386787i | ||||
\(955\) | 14.3823 | + | 14.8177i | 0.465402 | + | 0.479490i | ||||
\(956\) | 16.8921 | − | 40.5649i | 0.546329 | − | 1.31196i | ||||
\(957\) | −2.57627 | − | 0.690308i | −0.0832788 | − | 0.0223145i | ||||
\(958\) | −4.97659 | + | 0.321479i | −0.160786 | + | 0.0103865i | ||||
\(959\) | −14.8120 | − | 9.05653i | −0.478304 | − | 0.292451i | ||||
\(960\) | −2.11005 | + | 2.63587i | −0.0681015 | + | 0.0850722i | ||||
\(961\) | −8.98694 | − | 15.5658i | −0.289901 | − | 0.502124i | ||||
\(962\) | 10.5933 | − | 21.4303i | 0.341542 | − | 0.690939i | ||||
\(963\) | 11.2308 | + | 41.9138i | 0.361906 | + | 1.35065i | ||||
\(964\) | 24.0172 | + | 31.4221i | 0.773543 | + | 1.01204i | ||||
\(965\) | −33.2011 | + | 18.5143i | −1.06878 | + | 0.595995i | ||||
\(966\) | −1.37349 | + | 6.07148i | −0.0441912 | + | 0.195347i | ||||
\(967\) | −3.77188 | + | 3.77188i | −0.121295 | + | 0.121295i | −0.765149 | − | 0.643853i | \(-0.777335\pi\) |
0.643853 | + | 0.765149i | \(0.277335\pi\) | |||||||
\(968\) | 12.1454 | + | 13.9283i | 0.390368 | + | 0.447672i | ||||
\(969\) | 0.474901 | + | 0.274185i | 0.0152560 | + | 0.00880808i | ||||
\(970\) | 54.8514 | − | 2.72284i | 1.76117 | − | 0.0874251i | ||||
\(971\) | 1.77348 | + | 3.07176i | 0.0569138 | + | 0.0985776i | 0.893079 | − | 0.449901i | \(-0.148541\pi\) |
−0.836165 | + | 0.548478i | \(0.815207\pi\) | |||||||
\(972\) | 6.12171 | − | 7.94695i | 0.196354 | − | 0.254899i | ||||
\(973\) | 17.6096 | − | 16.7443i | 0.564539 | − | 0.536797i | ||||
\(974\) | −7.64539 | + | 8.70137i | −0.244974 | + | 0.278810i | ||||
\(975\) | 0.139069 | − | 4.66251i | 0.00445378 | − | 0.149320i | ||||
\(976\) | −2.87456 | − | 0.781846i | −0.0920124 | − | 0.0250263i | ||||
\(977\) | 35.0232 | − | 9.38444i | 1.12049 | − | 0.300235i | 0.349410 | − | 0.936970i | \(-0.386382\pi\) |
0.771083 | + | 0.636735i | \(0.219716\pi\) | |||||||
\(978\) | −0.424009 | + | 0.282737i | −0.0135583 | + | 0.00904093i | ||||
\(979\) | − | 11.6692i | − | 0.372950i | ||||||
\(980\) | −6.15979 | + | 30.6929i | −0.196767 | + | 0.980450i | ||||
\(981\) | 25.3342i | 0.808860i | ||||||||
\(982\) | 23.0617 | + | 34.5848i | 0.735930 | + | 1.10364i | ||||
\(983\) | −29.5057 | + | 7.90602i | −0.941085 | + | 0.252163i | −0.696575 | − | 0.717484i | \(-0.745294\pi\) |
−0.244510 | + | 0.969647i | \(0.578627\pi\) | |||||||
\(984\) | 0.346735 | + | 0.708143i | 0.0110535 | + | 0.0225748i | ||||
\(985\) | 3.04898 | + | 1.82147i | 0.0971485 | + | 0.0580368i | ||||
\(986\) | 26.2274 | + | 23.0445i | 0.835251 | + | 0.733887i | ||||
\(987\) | 1.62966 | − | 1.54957i | 0.0518726 | − | 0.0493235i | ||||
\(988\) | 4.74694 | − | 6.16229i | 0.151020 | − | 0.196048i | ||||
\(989\) | 8.20995 | + | 14.2200i | 0.261061 | + | 0.452171i | ||||
\(990\) | 14.6859 | + | 13.2968i | 0.466749 | + | 0.422601i | ||||
\(991\) | −36.1634 | − | 20.8790i | −1.14877 | − | 0.663242i | −0.200182 | − | 0.979759i | \(-0.564153\pi\) |
−0.948587 | + | 0.316516i | \(0.897487\pi\) | |||||||
\(992\) | −13.5336 | + | 15.2865i | −0.429694 | + | 0.485346i | ||||
\(993\) | 3.00810 | − | 3.00810i | 0.0954591 | − | 0.0954591i | ||||
\(994\) | 30.1131 | + | 6.81218i | 0.955130 | + | 0.216069i | ||||
\(995\) | 5.19865 | + | 1.47638i | 0.164808 | + | 0.0468045i | ||||
\(996\) | −3.45535 | + | 2.64107i | −0.109487 | + | 0.0836854i | ||||
\(997\) | 13.1260 | + | 48.9867i | 0.415703 | + | 1.55143i | 0.783423 | + | 0.621489i | \(0.213472\pi\) |
−0.367720 | + | 0.929937i | \(0.619861\pi\) | |||||||
\(998\) | −12.5563 | − | 6.20677i | −0.397462 | − | 0.196472i | ||||
\(999\) | 1.92502 | + | 3.33423i | 0.0609048 | + | 0.105490i |
(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 | 280.2.br.a.67.15 | ✓ | 176 | |
5.3 | odd | 4 | inner | 280.2.br.a.123.9 | yes | 176 | |
7.2 | even | 3 | inner | 280.2.br.a.107.16 | yes | 176 | |
8.3 | odd | 2 | inner | 280.2.br.a.67.38 | yes | 176 | |
35.23 | odd | 12 | inner | 280.2.br.a.163.38 | yes | 176 | |
40.3 | even | 4 | inner | 280.2.br.a.123.16 | yes | 176 | |
56.51 | odd | 6 | inner | 280.2.br.a.107.9 | yes | 176 | |
280.163 | even | 12 | inner | 280.2.br.a.163.15 | yes | 176 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.br.a.67.15 | ✓ | 176 | 1.1 | even | 1 | trivial | |
280.2.br.a.67.38 | yes | 176 | 8.3 | odd | 2 | inner | |
280.2.br.a.107.9 | yes | 176 | 56.51 | odd | 6 | inner | |
280.2.br.a.107.16 | yes | 176 | 7.2 | even | 3 | inner | |
280.2.br.a.123.9 | yes | 176 | 5.3 | odd | 4 | inner | |
280.2.br.a.123.16 | yes | 176 | 40.3 | even | 4 | inner | |
280.2.br.a.163.15 | yes | 176 | 280.163 | even | 12 | inner | |
280.2.br.a.163.38 | yes | 176 | 35.23 | odd | 12 | inner |