Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(191,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.191");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.h (of order \(5\), 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: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(44\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 191.8 | ||
Character | \(\chi\) | \(=\) | 950.191 |
Dual form | 950.2.h.e.761.8 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.809017 | + | 0.587785i | 0.572061 | + | 0.415627i | ||||
\(3\) | 0.625820 | + | 1.92608i | 0.361317 | + | 1.11202i | 0.952255 | + | 0.305303i | \(0.0987578\pi\) |
−0.590938 | + | 0.806717i | \(0.701242\pi\) | |||||||
\(4\) | 0.309017 | + | 0.951057i | 0.154508 | + | 0.475528i | ||||
\(5\) | −0.243465 | − | 2.22277i | −0.108881 | − | 0.994055i | ||||
\(6\) | −0.625820 | + | 1.92608i | −0.255490 | + | 0.786317i | ||||
\(7\) | 4.25141 | 1.60688 | 0.803441 | − | 0.595385i | \(-0.203000\pi\) | ||||
0.803441 | + | 0.595385i | \(0.203000\pi\) | |||||||
\(8\) | −0.309017 | + | 0.951057i | −0.109254 | + | 0.336249i | ||||
\(9\) | −0.891064 | + | 0.647396i | −0.297021 | + | 0.215799i | ||||
\(10\) | 1.10955 | − | 1.94137i | 0.350869 | − | 0.613914i | ||||
\(11\) | 1.65703 | + | 1.20390i | 0.499612 | + | 0.362989i | 0.808869 | − | 0.587989i | \(-0.200080\pi\) |
−0.309257 | + | 0.950979i | \(0.600080\pi\) | |||||||
\(12\) | −1.63842 | + | 1.19038i | −0.472970 | + | 0.343633i | ||||
\(13\) | −5.06290 | + | 3.67841i | −1.40419 | + | 1.02021i | −0.410060 | + | 0.912059i | \(0.634492\pi\) |
−0.994135 | + | 0.108149i | \(0.965508\pi\) | |||||||
\(14\) | 3.43946 | + | 2.49891i | 0.919235 | + | 0.667863i | ||||
\(15\) | 4.12886 | − | 1.85999i | 1.06607 | − | 0.480247i | ||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | 2.46489 | − | 7.58616i | 0.597824 | − | 1.83991i | 0.0576896 | − | 0.998335i | \(-0.481627\pi\) |
0.540134 | − | 0.841579i | \(-0.318373\pi\) | |||||||
\(18\) | −1.10142 | −0.259606 | ||||||||
\(19\) | 0.309017 | − | 0.951057i | 0.0708934 | − | 0.218187i | ||||
\(20\) | 2.03875 | − | 0.918424i | 0.455878 | − | 0.205366i | ||||
\(21\) | 2.66061 | + | 8.18853i | 0.580594 | + | 1.78688i | ||||
\(22\) | 0.632927 | + | 1.94795i | 0.134941 | + | 0.415304i | ||||
\(23\) | 7.35345 | + | 5.34259i | 1.53330 | + | 1.11401i | 0.954368 | + | 0.298632i | \(0.0965303\pi\) |
0.578932 | + | 0.815376i | \(0.303470\pi\) | |||||||
\(24\) | −2.02520 | −0.413391 | ||||||||
\(25\) | −4.88145 | + | 1.08233i | −0.976290 | + | 0.216467i | ||||
\(26\) | −6.25808 | −1.22731 | ||||||||
\(27\) | 3.11067 | + | 2.26004i | 0.598649 | + | 0.434944i | ||||
\(28\) | 1.31376 | + | 4.04333i | 0.248277 | + | 0.764117i | ||||
\(29\) | −0.163054 | − | 0.501828i | −0.0302783 | − | 0.0931872i | 0.934775 | − | 0.355240i | \(-0.115601\pi\) |
−0.965054 | + | 0.262052i | \(0.915601\pi\) | |||||||
\(30\) | 4.43359 | + | 0.922124i | 0.809460 | + | 0.168356i | ||||
\(31\) | 0.159734 | − | 0.491612i | 0.0286891 | − | 0.0882961i | −0.935687 | − | 0.352832i | \(-0.885219\pi\) |
0.964376 | + | 0.264536i | \(0.0852187\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | −1.28180 | + | 3.94498i | −0.223133 | + | 0.686733i | ||||
\(34\) | 6.45317 | − | 4.68850i | 1.10671 | − | 0.804072i | ||||
\(35\) | −1.03507 | − | 9.44992i | −0.174958 | − | 1.59733i | ||||
\(36\) | −0.891064 | − | 0.647396i | −0.148511 | − | 0.107899i | ||||
\(37\) | −5.18795 | + | 3.76927i | −0.852894 | + | 0.619664i | −0.925942 | − | 0.377665i | \(-0.876727\pi\) |
0.0730484 | + | 0.997328i | \(0.476727\pi\) | |||||||
\(38\) | 0.809017 | − | 0.587785i | 0.131240 | − | 0.0953514i | ||||
\(39\) | −10.2534 | − | 7.44950i | −1.64185 | − | 1.19287i | ||||
\(40\) | 2.18922 | + | 0.455326i | 0.346146 | + | 0.0719934i | ||||
\(41\) | −5.45398 | + | 3.96255i | −0.851769 | + | 0.618846i | −0.925633 | − | 0.378422i | \(-0.876467\pi\) |
0.0738645 | + | 0.997268i | \(0.476467\pi\) | |||||||
\(42\) | −2.66061 | + | 8.18853i | −0.410542 | + | 1.26352i | ||||
\(43\) | 2.00411 | 0.305623 | 0.152812 | − | 0.988255i | \(-0.451167\pi\) | ||||
0.152812 | + | 0.988255i | \(0.451167\pi\) | |||||||
\(44\) | −0.632927 | + | 1.94795i | −0.0954174 | + | 0.293665i | ||||
\(45\) | 1.65596 | + | 1.82302i | 0.246856 | + | 0.271759i | ||||
\(46\) | 2.80877 | + | 8.64450i | 0.414130 | + | 1.27456i | ||||
\(47\) | −1.04669 | − | 3.22139i | −0.152676 | − | 0.469888i | 0.845242 | − | 0.534383i | \(-0.179456\pi\) |
−0.997918 | + | 0.0644958i | \(0.979456\pi\) | |||||||
\(48\) | −1.63842 | − | 1.19038i | −0.236485 | − | 0.171817i | ||||
\(49\) | 11.0745 | 1.58207 | ||||||||
\(50\) | −4.58536 | − | 1.99362i | −0.648467 | − | 0.281940i | ||||
\(51\) | 16.1541 | 2.26202 | ||||||||
\(52\) | −5.06290 | − | 3.67841i | −0.702097 | − | 0.510104i | ||||
\(53\) | −2.45411 | − | 7.55298i | −0.337098 | − | 1.03748i | −0.965679 | − | 0.259737i | \(-0.916364\pi\) |
0.628581 | − | 0.777744i | \(-0.283636\pi\) | |||||||
\(54\) | 1.18817 | + | 3.65682i | 0.161690 | + | 0.497630i | ||||
\(55\) | 2.27257 | − | 3.97630i | 0.306433 | − | 0.536164i | ||||
\(56\) | −1.31376 | + | 4.04333i | −0.175558 | + | 0.540313i | ||||
\(57\) | 2.02520 | 0.268244 | ||||||||
\(58\) | 0.163054 | − | 0.501828i | 0.0214100 | − | 0.0658933i | ||||
\(59\) | −9.19597 | + | 6.68126i | −1.19721 | + | 0.869826i | −0.994008 | − | 0.109310i | \(-0.965136\pi\) |
−0.203205 | + | 0.979136i | \(0.565136\pi\) | |||||||
\(60\) | 3.04484 | + | 3.35202i | 0.393087 | + | 0.432743i | ||||
\(61\) | −5.04018 | − | 3.66190i | −0.645329 | − | 0.468859i | 0.216348 | − | 0.976316i | \(-0.430585\pi\) |
−0.861677 | + | 0.507458i | \(0.830585\pi\) | |||||||
\(62\) | 0.418190 | − | 0.303833i | 0.0531102 | − | 0.0385868i | ||||
\(63\) | −3.78828 | + | 2.75234i | −0.477278 | + | 0.346763i | ||||
\(64\) | −0.809017 | − | 0.587785i | −0.101127 | − | 0.0734732i | ||||
\(65\) | 9.40891 | + | 10.3581i | 1.16703 | + | 1.28477i | ||||
\(66\) | −3.35580 | + | 2.43813i | −0.413070 | + | 0.300113i | ||||
\(67\) | 0.629014 | − | 1.93591i | 0.0768463 | − | 0.236509i | −0.905253 | − | 0.424873i | \(-0.860319\pi\) |
0.982099 | + | 0.188365i | \(0.0603186\pi\) | |||||||
\(68\) | 7.97656 | 0.967300 | ||||||||
\(69\) | −5.68830 | + | 17.5068i | −0.684791 | + | 2.10757i | ||||
\(70\) | 4.71714 | − | 8.25354i | 0.563805 | − | 0.986487i | ||||
\(71\) | −0.362014 | − | 1.11417i | −0.0429632 | − | 0.132227i | 0.927274 | − | 0.374383i | \(-0.122145\pi\) |
−0.970237 | + | 0.242156i | \(0.922145\pi\) | |||||||
\(72\) | −0.340356 | − | 1.04751i | −0.0401114 | − | 0.123450i | ||||
\(73\) | −11.3386 | − | 8.23798i | −1.32708 | − | 0.964182i | −0.999815 | − | 0.0192509i | \(-0.993872\pi\) |
−0.327268 | − | 0.944931i | \(-0.606128\pi\) | |||||||
\(74\) | −6.41266 | −0.745457 | ||||||||
\(75\) | −5.13957 | − | 8.72469i | −0.593466 | − | 1.00744i | ||||
\(76\) | 1.00000 | 0.114708 | ||||||||
\(77\) | 7.04469 | + | 5.11827i | 0.802817 | + | 0.583281i | ||||
\(78\) | −3.91643 | − | 12.0535i | −0.443449 | − | 1.36479i | ||||
\(79\) | 0.617760 | + | 1.90127i | 0.0695034 | + | 0.213910i | 0.979775 | − | 0.200102i | \(-0.0641273\pi\) |
−0.910272 | + | 0.414011i | \(0.864127\pi\) | |||||||
\(80\) | 1.50348 | + | 1.65516i | 0.168094 | + | 0.185052i | ||||
\(81\) | −3.42735 | + | 10.5483i | −0.380816 | + | 1.17203i | ||||
\(82\) | −6.74149 | −0.744473 | ||||||||
\(83\) | −0.965793 | + | 2.97241i | −0.106010 | + | 0.326264i | −0.989966 | − | 0.141305i | \(-0.954870\pi\) |
0.883957 | + | 0.467569i | \(0.154870\pi\) | |||||||
\(84\) | −6.96558 | + | 5.06079i | −0.760007 | + | 0.552177i | ||||
\(85\) | −17.4624 | − | 3.63194i | −1.89407 | − | 0.393939i | ||||
\(86\) | 1.62136 | + | 1.17798i | 0.174835 | + | 0.127025i | ||||
\(87\) | 0.864517 | − | 0.628108i | 0.0926859 | − | 0.0673402i | ||||
\(88\) | −1.65703 | + | 1.20390i | −0.176640 | + | 0.128336i | ||||
\(89\) | 2.20612 | + | 1.60284i | 0.233848 | + | 0.169900i | 0.698538 | − | 0.715573i | \(-0.253834\pi\) |
−0.464690 | + | 0.885473i | \(0.653834\pi\) | |||||||
\(90\) | 0.268156 | + | 2.44820i | 0.0282661 | + | 0.258063i | ||||
\(91\) | −21.5244 | + | 15.6384i | −2.25637 | + | 1.63935i | ||||
\(92\) | −2.80877 | + | 8.64450i | −0.292834 | + | 0.901251i | ||||
\(93\) | 1.04685 | 0.108553 | ||||||||
\(94\) | 1.04669 | − | 3.22139i | 0.107958 | − | 0.332261i | ||||
\(95\) | −2.18922 | − | 0.455326i | −0.224609 | − | 0.0467155i | ||||
\(96\) | −0.625820 | − | 1.92608i | −0.0638725 | − | 0.196579i | ||||
\(97\) | −5.31877 | − | 16.3695i | −0.540039 | − | 1.66207i | −0.732502 | − | 0.680765i | \(-0.761647\pi\) |
0.192463 | − | 0.981304i | \(-0.438353\pi\) | |||||||
\(98\) | 8.95943 | + | 6.50941i | 0.905039 | + | 0.657549i | ||||
\(99\) | −2.25591 | −0.226728 | ||||||||
\(100\) | −2.53781 | − | 4.30807i | −0.253781 | − | 0.430807i | ||||
\(101\) | 13.0600 | 1.29952 | 0.649762 | − | 0.760138i | \(-0.274869\pi\) | ||||
0.649762 | + | 0.760138i | \(0.274869\pi\) | |||||||
\(102\) | 13.0689 | + | 9.49513i | 1.29402 | + | 0.940158i | ||||
\(103\) | −2.18293 | − | 6.71838i | −0.215091 | − | 0.661981i | −0.999147 | − | 0.0412916i | \(-0.986853\pi\) |
0.784056 | − | 0.620690i | \(-0.213147\pi\) | |||||||
\(104\) | −1.93385 | − | 5.95179i | −0.189630 | − | 0.583621i | ||||
\(105\) | 17.5535 | − | 7.90756i | 1.71304 | − | 0.771699i | ||||
\(106\) | 2.45411 | − | 7.55298i | 0.238364 | − | 0.733610i | ||||
\(107\) | 2.89307 | 0.279684 | 0.139842 | − | 0.990174i | \(-0.455341\pi\) | ||||
0.139842 | + | 0.990174i | \(0.455341\pi\) | |||||||
\(108\) | −1.18817 | + | 3.65682i | −0.114332 | + | 0.351877i | ||||
\(109\) | 1.72479 | − | 1.25313i | 0.165205 | − | 0.120028i | −0.502111 | − | 0.864803i | \(-0.667443\pi\) |
0.667316 | + | 0.744775i | \(0.267443\pi\) | |||||||
\(110\) | 4.17576 | − | 1.88111i | 0.398143 | − | 0.179357i | ||||
\(111\) | −10.5066 | − | 7.63350i | −0.997244 | − | 0.724540i | ||||
\(112\) | −3.43946 | + | 2.49891i | −0.324999 | + | 0.236125i | ||||
\(113\) | 11.1086 | − | 8.07087i | 1.04501 | − | 0.759243i | 0.0737517 | − | 0.997277i | \(-0.476503\pi\) |
0.971257 | + | 0.238033i | \(0.0765028\pi\) | |||||||
\(114\) | 1.63842 | + | 1.19038i | 0.153452 | + | 0.111489i | ||||
\(115\) | 10.0851 | − | 17.6458i | 0.940438 | − | 1.64548i | ||||
\(116\) | 0.426881 | − | 0.310147i | 0.0396349 | − | 0.0287964i | ||||
\(117\) | 2.12998 | − | 6.55539i | 0.196916 | − | 0.606046i | ||||
\(118\) | −11.3668 | −1.04640 | ||||||||
\(119\) | 10.4793 | − | 32.2518i | 0.960632 | − | 2.95652i | ||||
\(120\) | 0.493064 | + | 4.50155i | 0.0450104 | + | 0.410934i | ||||
\(121\) | −2.10283 | − | 6.47184i | −0.191166 | − | 0.588349i | ||||
\(122\) | −1.92518 | − | 5.92508i | −0.174297 | − | 0.536432i | ||||
\(123\) | −11.0454 | − | 8.02493i | −0.995928 | − | 0.723584i | ||||
\(124\) | 0.516911 | 0.0464200 | ||||||||
\(125\) | 3.59425 | + | 10.5868i | 0.321479 | + | 0.946917i | ||||
\(126\) | −4.68257 | −0.417156 | ||||||||
\(127\) | 3.03440 | + | 2.20462i | 0.269259 | + | 0.195628i | 0.714219 | − | 0.699922i | \(-0.246782\pi\) |
−0.444960 | + | 0.895551i | \(0.646782\pi\) | |||||||
\(128\) | −0.309017 | − | 0.951057i | −0.0273135 | − | 0.0840623i | ||||
\(129\) | 1.25421 | + | 3.86006i | 0.110427 | + | 0.339859i | ||||
\(130\) | 1.52362 | + | 13.9103i | 0.133631 | + | 1.22001i | ||||
\(131\) | −3.75554 | + | 11.5584i | −0.328123 | + | 1.00986i | 0.641888 | + | 0.766798i | \(0.278151\pi\) |
−0.970011 | + | 0.243060i | \(0.921849\pi\) | |||||||
\(132\) | −4.14800 | −0.361037 | ||||||||
\(133\) | 1.31376 | − | 4.04333i | 0.113917 | − | 0.350601i | ||||
\(134\) | 1.64678 | − | 1.19646i | 0.142260 | − | 0.103358i | ||||
\(135\) | 4.26621 | − | 7.46456i | 0.367177 | − | 0.642447i | ||||
\(136\) | 6.45317 | + | 4.68850i | 0.553355 | + | 0.402036i | ||||
\(137\) | −12.6851 | + | 9.21626i | −1.08376 | + | 0.787398i | −0.978335 | − | 0.207029i | \(-0.933621\pi\) |
−0.105426 | + | 0.994427i | \(0.533621\pi\) | |||||||
\(138\) | −14.8922 | + | 10.8198i | −1.26771 | + | 0.921042i | ||||
\(139\) | −0.582072 | − | 0.422900i | −0.0493707 | − | 0.0358699i | 0.562826 | − | 0.826575i | \(-0.309714\pi\) |
−0.612197 | + | 0.790705i | \(0.709714\pi\) | |||||||
\(140\) | 8.66755 | − | 3.90459i | 0.732542 | − | 0.329998i | ||||
\(141\) | 5.54959 | − | 4.03201i | 0.467360 | − | 0.339557i | ||||
\(142\) | 0.362014 | − | 1.11417i | 0.0303796 | − | 0.0934987i | ||||
\(143\) | −12.8178 | −1.07188 | ||||||||
\(144\) | 0.340356 | − | 1.04751i | 0.0283630 | − | 0.0872924i | ||||
\(145\) | −1.07575 | + | 0.484609i | −0.0893364 | + | 0.0402446i | ||||
\(146\) | −4.33096 | − | 13.3293i | −0.358433 | − | 1.10314i | ||||
\(147\) | 6.93062 | + | 21.3303i | 0.571628 | + | 1.75929i | ||||
\(148\) | −5.18795 | − | 3.76927i | −0.426447 | − | 0.309832i | ||||
\(149\) | −8.37597 | −0.686186 | −0.343093 | − | 0.939301i | \(-0.611475\pi\) | ||||
−0.343093 | + | 0.939301i | \(0.611475\pi\) | |||||||
\(150\) | 0.970250 | − | 10.0794i | 0.0792206 | − | 0.822978i | ||||
\(151\) | 10.6004 | 0.862645 | 0.431323 | − | 0.902198i | \(-0.358047\pi\) | ||||
0.431323 | + | 0.902198i | \(0.358047\pi\) | |||||||
\(152\) | 0.809017 | + | 0.587785i | 0.0656199 | + | 0.0476757i | ||||
\(153\) | 2.71487 | + | 8.35551i | 0.219484 | + | 0.675503i | ||||
\(154\) | 2.69083 | + | 8.28153i | 0.216833 | + | 0.667345i | ||||
\(155\) | −1.13163 | − | 0.235363i | −0.0908948 | − | 0.0189048i | ||||
\(156\) | 3.91643 | − | 12.0535i | 0.313566 | − | 0.965055i | ||||
\(157\) | 0.524726 | 0.0418777 | 0.0209388 | − | 0.999781i | \(-0.493334\pi\) | ||||
0.0209388 | + | 0.999781i | \(0.493334\pi\) | |||||||
\(158\) | −0.617760 | + | 1.90127i | −0.0491463 | + | 0.151257i | ||||
\(159\) | 13.0118 | − | 9.45360i | 1.03190 | − | 0.749719i | ||||
\(160\) | 0.243465 | + | 2.22277i | 0.0192476 | + | 0.175726i | ||||
\(161\) | 31.2625 | + | 22.7135i | 2.46383 | + | 1.79008i | ||||
\(162\) | −8.97291 | + | 6.51920i | −0.704979 | + | 0.512197i | ||||
\(163\) | 0.620455 | − | 0.450787i | 0.0485978 | − | 0.0353084i | −0.563221 | − | 0.826306i | \(-0.690438\pi\) |
0.611819 | + | 0.790998i | \(0.290438\pi\) | |||||||
\(164\) | −5.45398 | − | 3.96255i | −0.425884 | − | 0.309423i | ||||
\(165\) | 9.08087 | + | 1.88869i | 0.706945 | + | 0.147034i | ||||
\(166\) | −2.52848 | + | 1.83705i | −0.196248 | + | 0.142583i | ||||
\(167\) | 0.891847 | − | 2.74482i | 0.0690132 | − | 0.212401i | −0.910602 | − | 0.413285i | \(-0.864381\pi\) |
0.979615 | + | 0.200884i | \(0.0643814\pi\) | |||||||
\(168\) | −8.60993 | −0.664271 | ||||||||
\(169\) | 8.08500 | − | 24.8831i | 0.621923 | − | 1.91408i | ||||
\(170\) | −11.9926 | − | 13.2025i | −0.919791 | − | 1.01258i | ||||
\(171\) | 0.340356 | + | 1.04751i | 0.0260277 | + | 0.0801050i | ||||
\(172\) | 0.619303 | + | 1.90602i | 0.0472214 | + | 0.145332i | ||||
\(173\) | −2.02111 | − | 1.46842i | −0.153662 | − | 0.111642i | 0.508297 | − | 0.861182i | \(-0.330275\pi\) |
−0.661960 | + | 0.749539i | \(0.730275\pi\) | |||||||
\(174\) | 1.06860 | 0.0810104 | ||||||||
\(175\) | −20.7530 | + | 4.60145i | −1.56878 | + | 0.347837i | ||||
\(176\) | −2.04820 | −0.154389 | ||||||||
\(177\) | −18.6236 | − | 13.5309i | −1.39984 | − | 1.01704i | ||||
\(178\) | 0.842662 | + | 2.59345i | 0.0631602 | + | 0.194387i | ||||
\(179\) | 0.424524 | + | 1.30655i | 0.0317304 | + | 0.0976562i | 0.965667 | − | 0.259781i | \(-0.0836505\pi\) |
−0.933937 | + | 0.357438i | \(0.883650\pi\) | |||||||
\(180\) | −1.22207 | + | 2.13825i | −0.0910879 | + | 0.159376i | ||||
\(181\) | 2.95629 | − | 9.09854i | 0.219740 | − | 0.676289i | −0.779043 | − | 0.626970i | \(-0.784295\pi\) |
0.998783 | − | 0.0493191i | \(-0.0157051\pi\) | |||||||
\(182\) | −26.6057 | −1.97214 | ||||||||
\(183\) | 3.89886 | − | 11.9995i | 0.288212 | − | 0.887025i | ||||
\(184\) | −7.35345 | + | 5.34259i | −0.542104 | + | 0.393861i | ||||
\(185\) | 9.64131 | + | 10.6140i | 0.708844 | + | 0.780354i | ||||
\(186\) | 0.846916 | + | 0.615321i | 0.0620989 | + | 0.0451175i | ||||
\(187\) | 13.2174 | − | 9.60297i | 0.966549 | − | 0.702239i | ||||
\(188\) | 2.74028 | − | 1.99093i | 0.199855 | − | 0.145203i | ||||
\(189\) | 13.2247 | + | 9.60834i | 0.961958 | + | 0.698904i | ||||
\(190\) | −1.50348 | − | 1.65516i | −0.109074 | − | 0.120078i | ||||
\(191\) | 13.6861 | − | 9.94354i | 0.990292 | − | 0.719489i | 0.0303070 | − | 0.999541i | \(-0.490351\pi\) |
0.959985 | + | 0.280051i | \(0.0903515\pi\) | |||||||
\(192\) | 0.625820 | − | 1.92608i | 0.0451646 | − | 0.139002i | ||||
\(193\) | 13.9088 | 1.00118 | 0.500588 | − | 0.865686i | \(-0.333117\pi\) | ||||
0.500588 | + | 0.865686i | \(0.333117\pi\) | |||||||
\(194\) | 5.31877 | − | 16.3695i | 0.381865 | − | 1.17526i | ||||
\(195\) | −14.0622 | + | 24.6046i | −1.00702 | + | 1.76197i | ||||
\(196\) | 3.42220 | + | 10.5324i | 0.244443 | + | 0.752317i | ||||
\(197\) | 1.93044 | + | 5.94127i | 0.137538 | + | 0.423298i | 0.995976 | − | 0.0896189i | \(-0.0285649\pi\) |
−0.858438 | + | 0.512917i | \(0.828565\pi\) | |||||||
\(198\) | −1.82507 | − | 1.32599i | −0.129702 | − | 0.0942343i | ||||
\(199\) | 13.5991 | 0.964015 | 0.482008 | − | 0.876167i | \(-0.339908\pi\) | ||||
0.482008 | + | 0.876167i | \(0.339908\pi\) | |||||||
\(200\) | 0.479090 | − | 4.97699i | 0.0338767 | − | 0.351927i | ||||
\(201\) | 4.12235 | 0.290768 | ||||||||
\(202\) | 10.5658 | + | 7.67650i | 0.743407 | + | 0.540117i | ||||
\(203\) | −0.693209 | − | 2.13348i | −0.0486537 | − | 0.149741i | ||||
\(204\) | 4.99189 | + | 15.3634i | 0.349502 | + | 1.07566i | ||||
\(205\) | 10.1357 | + | 11.1582i | 0.707908 | + | 0.779324i | ||||
\(206\) | 2.18293 | − | 6.71838i | 0.152092 | − | 0.468091i | ||||
\(207\) | −10.0112 | −0.695824 | ||||||||
\(208\) | 1.93385 | − | 5.95179i | 0.134089 | − | 0.412682i | ||||
\(209\) | 1.65703 | − | 1.20390i | 0.114619 | − | 0.0832755i | ||||
\(210\) | 18.8490 | + | 3.92033i | 1.30071 | + | 0.270528i | ||||
\(211\) | −5.09035 | − | 3.69836i | −0.350434 | − | 0.254605i | 0.398617 | − | 0.917118i | \(-0.369490\pi\) |
−0.749051 | + | 0.662512i | \(0.769490\pi\) | |||||||
\(212\) | 6.42495 | − | 4.66800i | 0.441267 | − | 0.320599i | ||||
\(213\) | 1.91941 | − | 1.39453i | 0.131516 | − | 0.0955518i | ||||
\(214\) | 2.34055 | + | 1.70051i | 0.159996 | + | 0.116244i | ||||
\(215\) | −0.487929 | − | 4.45467i | −0.0332765 | − | 0.303806i | ||||
\(216\) | −3.11067 | + | 2.26004i | −0.211655 | + | 0.153776i | ||||
\(217\) | 0.679096 | − | 2.09004i | 0.0461000 | − | 0.141881i | ||||
\(218\) | 2.13195 | 0.144394 | ||||||||
\(219\) | 8.77104 | − | 26.9945i | 0.592692 | − | 1.82412i | ||||
\(220\) | 4.48395 | + | 0.932597i | 0.302308 | + | 0.0628757i | ||||
\(221\) | 15.4255 | + | 47.4748i | 1.03763 | + | 3.19350i | ||||
\(222\) | −4.01317 | − | 12.3513i | −0.269346 | − | 0.828963i | ||||
\(223\) | −14.8405 | − | 10.7822i | −0.993793 | − | 0.722033i | −0.0330445 | − | 0.999454i | \(-0.510520\pi\) |
−0.960748 | + | 0.277421i | \(0.910520\pi\) | |||||||
\(224\) | −4.25141 | −0.284059 | ||||||||
\(225\) | 3.64898 | − | 4.12466i | 0.243266 | − | 0.274977i | ||||
\(226\) | 13.7310 | 0.913371 | ||||||||
\(227\) | −8.17792 | − | 5.94161i | −0.542788 | − | 0.394358i | 0.282332 | − | 0.959317i | \(-0.408892\pi\) |
−0.825119 | + | 0.564959i | \(0.808892\pi\) | |||||||
\(228\) | 0.625820 | + | 1.92608i | 0.0414459 | + | 0.127557i | ||||
\(229\) | 0.529968 | + | 1.63107i | 0.0350213 | + | 0.107784i | 0.967039 | − | 0.254628i | \(-0.0819531\pi\) |
−0.932018 | + | 0.362413i | \(0.881953\pi\) | |||||||
\(230\) | 18.5309 | − | 8.34789i | 1.22189 | − | 0.550443i | ||||
\(231\) | −5.44946 | + | 16.7717i | −0.358548 | + | 1.10350i | ||||
\(232\) | 0.527653 | 0.0346421 | ||||||||
\(233\) | 2.64497 | − | 8.14038i | 0.173278 | − | 0.533294i | −0.826273 | − | 0.563270i | \(-0.809543\pi\) |
0.999551 | + | 0.0299758i | \(0.00954303\pi\) | |||||||
\(234\) | 5.57635 | − | 4.05146i | 0.364538 | − | 0.264852i | ||||
\(235\) | −6.90558 | + | 3.11085i | −0.450471 | + | 0.202930i | ||||
\(236\) | −9.19597 | − | 6.68126i | −0.598606 | − | 0.434913i | ||||
\(237\) | −3.27538 | + | 2.37970i | −0.212759 | + | 0.154578i | ||||
\(238\) | 27.4351 | − | 19.9327i | 1.77835 | − | 1.29205i | ||||
\(239\) | 4.99344 | + | 3.62794i | 0.322999 | + | 0.234672i | 0.737454 | − | 0.675397i | \(-0.236028\pi\) |
−0.414455 | + | 0.910070i | \(0.636028\pi\) | |||||||
\(240\) | −2.24705 | + | 3.93165i | −0.145046 | + | 0.253787i | ||||
\(241\) | 2.87918 | − | 2.09184i | 0.185464 | − | 0.134748i | −0.491179 | − | 0.871059i | \(-0.663434\pi\) |
0.676643 | + | 0.736311i | \(0.263434\pi\) | |||||||
\(242\) | 2.10283 | − | 6.47184i | 0.135175 | − | 0.416025i | ||||
\(243\) | −10.9267 | −0.700948 | ||||||||
\(244\) | 1.92518 | − | 5.92508i | 0.123247 | − | 0.379315i | ||||
\(245\) | −2.69624 | − | 24.6160i | −0.172257 | − | 1.57266i | ||||
\(246\) | −4.21896 | − | 12.9846i | −0.268991 | − | 0.827869i | ||||
\(247\) | 1.93385 | + | 5.95179i | 0.123048 | + | 0.378703i | ||||
\(248\) | 0.418190 | + | 0.303833i | 0.0265551 | + | 0.0192934i | ||||
\(249\) | −6.32949 | −0.401115 | ||||||||
\(250\) | −3.31499 | + | 10.6776i | −0.209658 | + | 0.675310i | ||||
\(251\) | −17.4245 | −1.09982 | −0.549912 | − | 0.835222i | \(-0.685339\pi\) | ||||
−0.549912 | + | 0.835222i | \(0.685339\pi\) | |||||||
\(252\) | −3.78828 | − | 2.75234i | −0.238639 | − | 0.173381i | ||||
\(253\) | 5.75291 | + | 17.7056i | 0.361682 | + | 1.11314i | ||||
\(254\) | 1.15904 | + | 3.56715i | 0.0727245 | + | 0.223823i | ||||
\(255\) | −3.93295 | − | 35.9069i | −0.246291 | − | 2.24858i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | −27.2371 | −1.69900 | −0.849500 | − | 0.527588i | \(-0.823096\pi\) | ||||
−0.849500 | + | 0.527588i | \(0.823096\pi\) | |||||||
\(258\) | −1.25421 | + | 3.86006i | −0.0780836 | + | 0.240317i | ||||
\(259\) | −22.0561 | + | 16.0247i | −1.37050 | + | 0.995726i | ||||
\(260\) | −6.94364 | + | 12.1492i | −0.430626 | + | 0.753464i | ||||
\(261\) | 0.470173 | + | 0.341601i | 0.0291030 | + | 0.0211445i | ||||
\(262\) | −9.83212 | + | 7.14346i | −0.607431 | + | 0.441324i | ||||
\(263\) | −19.4428 | + | 14.1261i | −1.19890 | + | 0.871050i | −0.994176 | − | 0.107770i | \(-0.965629\pi\) |
−0.204722 | + | 0.978820i | \(0.565629\pi\) | |||||||
\(264\) | −3.35580 | − | 2.43813i | −0.206535 | − | 0.150057i | ||||
\(265\) | −16.1911 | + | 7.29382i | −0.994610 | + | 0.448056i | ||||
\(266\) | 3.43946 | − | 2.49891i | 0.210887 | − | 0.153218i | ||||
\(267\) | −1.70655 | + | 5.25223i | −0.104439 | + | 0.321432i | ||||
\(268\) | 2.03553 | 0.124340 | ||||||||
\(269\) | 8.48802 | − | 26.1234i | 0.517523 | − | 1.59277i | −0.261120 | − | 0.965306i | \(-0.584092\pi\) |
0.778643 | − | 0.627467i | \(-0.215908\pi\) | |||||||
\(270\) | 7.83900 | − | 3.53134i | 0.477066 | − | 0.214911i | ||||
\(271\) | 2.35945 | + | 7.26165i | 0.143327 | + | 0.441114i | 0.996792 | − | 0.0800356i | \(-0.0255034\pi\) |
−0.853465 | + | 0.521150i | \(0.825503\pi\) | |||||||
\(272\) | 2.46489 | + | 7.58616i | 0.149456 | + | 0.459978i | ||||
\(273\) | −43.5912 | − | 31.6708i | −2.63826 | − | 1.91681i | ||||
\(274\) | −15.6796 | −0.947242 | ||||||||
\(275\) | −9.39171 | − | 4.08332i | −0.566341 | − | 0.246233i | ||||
\(276\) | −18.4077 | −1.10802 | ||||||||
\(277\) | 9.81599 | + | 7.13174i | 0.589786 | + | 0.428505i | 0.842239 | − | 0.539105i | \(-0.181237\pi\) |
−0.252453 | + | 0.967609i | \(0.581237\pi\) | |||||||
\(278\) | −0.222332 | − | 0.684267i | −0.0133346 | − | 0.0410396i | ||||
\(279\) | 0.175934 | + | 0.541469i | 0.0105329 | + | 0.0324169i | ||||
\(280\) | 9.30726 | + | 1.93578i | 0.556215 | + | 0.115685i | ||||
\(281\) | 1.11285 | − | 3.42499i | 0.0663868 | − | 0.204318i | −0.912360 | − | 0.409388i | \(-0.865742\pi\) |
0.978747 | + | 0.205070i | \(0.0657423\pi\) | |||||||
\(282\) | 6.85967 | 0.408488 | ||||||||
\(283\) | −2.99189 | + | 9.20809i | −0.177849 | + | 0.547364i | −0.999752 | − | 0.0222636i | \(-0.992913\pi\) |
0.821903 | + | 0.569628i | \(0.192913\pi\) | |||||||
\(284\) | 0.947766 | − | 0.688592i | 0.0562395 | − | 0.0408604i | ||||
\(285\) | −0.493064 | − | 4.50155i | −0.0292066 | − | 0.266649i | ||||
\(286\) | −10.3698 | − | 7.53410i | −0.613179 | − | 0.445501i | ||||
\(287\) | −23.1871 | + | 16.8464i | −1.36869 | + | 0.994412i | ||||
\(288\) | 0.891064 | − | 0.647396i | 0.0525064 | − | 0.0381482i | ||||
\(289\) | −37.7208 | − | 27.4058i | −2.21887 | − | 1.61210i | ||||
\(290\) | −1.15515 | − | 0.240254i | −0.0678327 | − | 0.0141082i | ||||
\(291\) | 28.2003 | − | 20.4887i | 1.65313 | − | 1.20107i | ||||
\(292\) | 4.33096 | − | 13.3293i | 0.253450 | − | 0.780040i | ||||
\(293\) | 19.0672 | 1.11392 | 0.556959 | − | 0.830540i | \(-0.311968\pi\) | ||||
0.556959 | + | 0.830540i | \(0.311968\pi\) | |||||||
\(294\) | −6.93062 | + | 21.3303i | −0.404202 | + | 1.24401i | ||||
\(295\) | 17.0898 | + | 18.8139i | 0.995008 | + | 1.09539i | ||||
\(296\) | −1.98162 | − | 6.09880i | −0.115179 | − | 0.354486i | ||||
\(297\) | 2.43361 | + | 7.48988i | 0.141212 | + | 0.434607i | ||||
\(298\) | −6.77630 | − | 4.92327i | −0.392540 | − | 0.285197i | ||||
\(299\) | −56.8820 | −3.28957 | ||||||||
\(300\) | 6.70946 | − | 7.58410i | 0.387371 | − | 0.437868i | ||||
\(301\) | 8.52027 | 0.491100 | ||||||||
\(302\) | 8.57587 | + | 6.23074i | 0.493486 | + | 0.358539i | ||||
\(303\) | 8.17324 | + | 25.1546i | 0.469540 | + | 1.44510i | ||||
\(304\) | 0.309017 | + | 0.951057i | 0.0177233 | + | 0.0545468i | ||||
\(305\) | −6.91248 | + | 12.0947i | −0.395807 | + | 0.692542i | ||||
\(306\) | −2.71487 | + | 8.35551i | −0.155199 | + | 0.477653i | ||||
\(307\) | −26.8892 | −1.53465 | −0.767324 | − | 0.641260i | \(-0.778412\pi\) | ||||
−0.767324 | + | 0.641260i | \(0.778412\pi\) | |||||||
\(308\) | −2.69083 | + | 8.28153i | −0.153324 | + | 0.471884i | ||||
\(309\) | 11.5740 | − | 8.40898i | 0.658420 | − | 0.478370i | ||||
\(310\) | −0.777166 | − | 0.855569i | −0.0441401 | − | 0.0485931i | ||||
\(311\) | 25.9908 | + | 18.8834i | 1.47380 | + | 1.07078i | 0.979489 | + | 0.201496i | \(0.0645803\pi\) |
0.494313 | + | 0.869284i | \(0.335420\pi\) | |||||||
\(312\) | 10.2534 | − | 7.44950i | 0.580482 | − | 0.421745i | ||||
\(313\) | 4.19748 | − | 3.04965i | 0.237256 | − | 0.172376i | −0.462804 | − | 0.886461i | \(-0.653157\pi\) |
0.700060 | + | 0.714084i | \(0.253157\pi\) | |||||||
\(314\) | 0.424512 | + | 0.308426i | 0.0239566 | + | 0.0174055i | ||||
\(315\) | 7.04015 | + | 7.75038i | 0.396667 | + | 0.436685i | ||||
\(316\) | −1.61732 | + | 1.17505i | −0.0909812 | + | 0.0661017i | ||||
\(317\) | 7.41829 | − | 22.8311i | 0.416653 | − | 1.28232i | −0.494112 | − | 0.869398i | \(-0.664507\pi\) |
0.910764 | − | 0.412927i | \(-0.135493\pi\) | |||||||
\(318\) | 16.0834 | 0.901914 | ||||||||
\(319\) | 0.333966 | − | 1.02784i | 0.0186985 | − | 0.0575481i | ||||
\(320\) | −1.10955 | + | 1.94137i | −0.0620255 | + | 0.108526i | ||||
\(321\) | 1.81054 | + | 5.57228i | 0.101055 | + | 0.311014i | ||||
\(322\) | 11.9412 | + | 36.7513i | 0.665458 | + | 2.04807i | ||||
\(323\) | −6.45317 | − | 4.68850i | −0.359064 | − | 0.260875i | ||||
\(324\) | −11.0911 | −0.616174 | ||||||||
\(325\) | 20.7330 | − | 23.4357i | 1.15006 | − | 1.29998i | ||||
\(326\) | 0.766925 | 0.0424760 | ||||||||
\(327\) | 3.49303 | + | 2.53783i | 0.193165 | + | 0.140343i | ||||
\(328\) | −2.08324 | − | 6.41154i | −0.115027 | − | 0.354018i | ||||
\(329\) | −4.44991 | − | 13.6954i | −0.245332 | − | 0.755053i | ||||
\(330\) | 6.23643 | + | 6.86559i | 0.343304 | + | 0.377938i | ||||
\(331\) | −9.61543 | + | 29.5933i | −0.528512 | + | 1.62659i | 0.228753 | + | 0.973484i | \(0.426535\pi\) |
−0.757265 | + | 0.653108i | \(0.773465\pi\) | |||||||
\(332\) | −3.12537 | −0.171527 | ||||||||
\(333\) | 2.18259 | − | 6.71732i | 0.119605 | − | 0.368107i | ||||
\(334\) | 2.33489 | − | 1.69639i | 0.127759 | − | 0.0928226i | ||||
\(335\) | −4.45623 | − | 0.926832i | −0.243470 | − | 0.0506382i | ||||
\(336\) | −6.96558 | − | 5.06079i | −0.380004 | − | 0.276089i | ||||
\(337\) | −21.9501 | + | 15.9477i | −1.19570 | + | 0.868727i | −0.993855 | − | 0.110691i | \(-0.964694\pi\) |
−0.201845 | + | 0.979418i | \(0.564694\pi\) | |||||||
\(338\) | 21.1668 | − | 15.3786i | 1.15132 | − | 0.836485i | ||||
\(339\) | 22.4971 | + | 16.3451i | 1.22187 | + | 0.887743i | ||||
\(340\) | −1.94201 | − | 17.7301i | −0.105320 | − | 0.961549i | ||||
\(341\) | 0.856535 | − | 0.622309i | 0.0463840 | − | 0.0336999i | ||||
\(342\) | −0.340356 | + | 1.04751i | −0.0184043 | + | 0.0566428i | ||||
\(343\) | 17.3222 | 0.935312 | ||||||||
\(344\) | −0.619303 | + | 1.90602i | −0.0333906 | + | 0.102766i | ||||
\(345\) | 40.2986 | + | 8.38152i | 2.16960 | + | 0.451246i | ||||
\(346\) | −0.771996 | − | 2.37596i | −0.0415028 | − | 0.127732i | ||||
\(347\) | −0.874135 | − | 2.69031i | −0.0469260 | − | 0.144423i | 0.924848 | − | 0.380337i | \(-0.124192\pi\) |
−0.971774 | + | 0.235913i | \(0.924192\pi\) | |||||||
\(348\) | 0.864517 | + | 0.628108i | 0.0463430 | + | 0.0336701i | ||||
\(349\) | −24.9032 | −1.33304 | −0.666519 | − | 0.745488i | \(-0.732217\pi\) | ||||
−0.666519 | + | 0.745488i | \(0.732217\pi\) | |||||||
\(350\) | −19.4942 | − | 8.47568i | −1.04201 | − | 0.453044i | ||||
\(351\) | −24.0624 | −1.28435 | ||||||||
\(352\) | −1.65703 | − | 1.20390i | −0.0883198 | − | 0.0641681i | ||||
\(353\) | −2.33483 | − | 7.18586i | −0.124270 | − | 0.382465i | 0.869497 | − | 0.493938i | \(-0.164443\pi\) |
−0.993767 | + | 0.111473i | \(0.964443\pi\) | |||||||
\(354\) | −7.11359 | − | 21.8934i | −0.378083 | − | 1.16362i | ||||
\(355\) | −2.38840 | + | 1.07594i | −0.126763 | + | 0.0571047i | ||||
\(356\) | −0.842662 | + | 2.59345i | −0.0446610 | + | 0.137452i | ||||
\(357\) | 68.6776 | 3.63480 | ||||||||
\(358\) | −0.424524 | + | 1.30655i | −0.0224368 | + | 0.0690534i | ||||
\(359\) | −18.3358 | + | 13.3217i | −0.967724 | + | 0.703093i | −0.954932 | − | 0.296825i | \(-0.904072\pi\) |
−0.0127926 | + | 0.999918i | \(0.504072\pi\) | |||||||
\(360\) | −2.24551 | + | 1.01157i | −0.118349 | + | 0.0533142i | ||||
\(361\) | −0.809017 | − | 0.587785i | −0.0425798 | − | 0.0309361i | ||||
\(362\) | 7.73968 | − | 5.62321i | 0.406789 | − | 0.295549i | ||||
\(363\) | 11.1493 | − | 8.10041i | 0.585184 | − | 0.425161i | ||||
\(364\) | −21.5244 | − | 15.6384i | −1.12819 | − | 0.819676i | ||||
\(365\) | −15.5506 | + | 27.2088i | −0.813956 | + | 1.42417i | ||||
\(366\) | 10.2073 | − | 7.41607i | 0.533546 | − | 0.387644i | ||||
\(367\) | 4.13604 | − | 12.7294i | 0.215900 | − | 0.664470i | −0.783189 | − | 0.621784i | \(-0.786408\pi\) |
0.999089 | − | 0.0426867i | \(-0.0135917\pi\) | |||||||
\(368\) | −9.08936 | −0.473816 | ||||||||
\(369\) | 2.29451 | − | 7.06177i | 0.119447 | − | 0.367621i | ||||
\(370\) | 1.56126 | + | 14.2539i | 0.0811659 | + | 0.741025i | ||||
\(371\) | −10.4334 | − | 32.1108i | −0.541676 | − | 1.66711i | ||||
\(372\) | 0.323493 | + | 0.995610i | 0.0167723 | + | 0.0516200i | ||||
\(373\) | −3.26207 | − | 2.37003i | −0.168904 | − | 0.122716i | 0.500122 | − | 0.865955i | \(-0.333288\pi\) |
−0.669026 | + | 0.743239i | \(0.733288\pi\) | |||||||
\(374\) | 16.3376 | 0.844795 | ||||||||
\(375\) | −18.1417 | + | 13.5482i | −0.936834 | + | 0.699629i | ||||
\(376\) | 3.38717 | 0.174680 | ||||||||
\(377\) | 2.67145 | + | 1.94093i | 0.137587 | + | 0.0999627i | ||||
\(378\) | 5.05140 | + | 15.5466i | 0.259816 | + | 0.799632i | ||||
\(379\) | −1.30323 | − | 4.01093i | −0.0669425 | − | 0.206028i | 0.911990 | − | 0.410213i | \(-0.134546\pi\) |
−0.978932 | + | 0.204185i | \(0.934546\pi\) | |||||||
\(380\) | −0.243465 | − | 2.22277i | −0.0124895 | − | 0.114026i | ||||
\(381\) | −2.34728 | + | 7.22418i | −0.120255 | + | 0.370106i | ||||
\(382\) | 16.9170 | 0.865547 | ||||||||
\(383\) | −8.18364 | + | 25.1866i | −0.418164 | + | 1.28698i | 0.491225 | + | 0.871032i | \(0.336549\pi\) |
−0.909390 | + | 0.415945i | \(0.863451\pi\) | |||||||
\(384\) | 1.63842 | − | 1.19038i | 0.0836101 | − | 0.0607463i | ||||
\(385\) | 9.66162 | − | 16.9049i | 0.492402 | − | 0.861552i | ||||
\(386\) | 11.2524 | + | 8.17537i | 0.572734 | + | 0.416115i | ||||
\(387\) | −1.78579 | + | 1.29745i | −0.0907766 | + | 0.0659531i | ||||
\(388\) | 13.9247 | − | 10.1169i | 0.706920 | − | 0.513608i | ||||
\(389\) | −1.36576 | − | 0.992286i | −0.0692470 | − | 0.0503109i | 0.552623 | − | 0.833431i | \(-0.313627\pi\) |
−0.621870 | + | 0.783120i | \(0.713627\pi\) | |||||||
\(390\) | −25.8388 | + | 11.6400i | −1.30840 | + | 0.589412i | ||||
\(391\) | 58.6552 | − | 42.6155i | 2.96632 | − | 2.15516i | ||||
\(392\) | −3.42220 | + | 10.5324i | −0.172847 | + | 0.531969i | ||||
\(393\) | −24.6125 | −1.24154 | ||||||||
\(394\) | −1.93044 | + | 5.94127i | −0.0972539 | + | 0.299317i | ||||
\(395\) | 4.07569 | − | 1.83603i | 0.205070 | − | 0.0923808i | ||||
\(396\) | −0.697116 | − | 2.14550i | −0.0350314 | − | 0.107816i | ||||
\(397\) | −5.29503 | − | 16.2964i | −0.265750 | − | 0.817895i | −0.991520 | − | 0.129957i | \(-0.958516\pi\) |
0.725770 | − | 0.687938i | \(-0.241484\pi\) | |||||||
\(398\) | 11.0019 | + | 7.99336i | 0.551476 | + | 0.400671i | ||||
\(399\) | 8.60993 | 0.431036 | ||||||||
\(400\) | 3.31300 | − | 3.74487i | 0.165650 | − | 0.187244i | ||||
\(401\) | −18.7274 | −0.935203 | −0.467601 | − | 0.883939i | \(-0.654882\pi\) | ||||
−0.467601 | + | 0.883939i | \(0.654882\pi\) | |||||||
\(402\) | 3.33505 | + | 2.42306i | 0.166337 | + | 0.120851i | ||||
\(403\) | 0.999631 | + | 3.07655i | 0.0497952 | + | 0.153254i | ||||
\(404\) | 4.03578 | + | 12.4208i | 0.200787 | + | 0.617960i | ||||
\(405\) | 24.2809 | + | 5.05008i | 1.20653 | + | 0.250941i | ||||
\(406\) | 0.693209 | − | 2.13348i | 0.0344034 | − | 0.105883i | ||||
\(407\) | −13.1344 | −0.651047 | ||||||||
\(408\) | −4.99189 | + | 15.3634i | −0.247135 | + | 0.760604i | ||||
\(409\) | −11.7482 | + | 8.53554i | −0.580909 | + | 0.422055i | −0.839052 | − | 0.544052i | \(-0.816890\pi\) |
0.258143 | + | 0.966107i | \(0.416890\pi\) | |||||||
\(410\) | 1.64132 | + | 14.9848i | 0.0810588 | + | 0.740047i | ||||
\(411\) | −25.6898 | − | 18.6647i | −1.26718 | − | 0.920663i | ||||
\(412\) | 5.71499 | − | 4.15218i | 0.281557 | − | 0.204563i | ||||
\(413\) | −39.0958 | + | 28.4048i | −1.92378 | + | 1.39771i | ||||
\(414\) | −8.09920 | − | 5.88442i | −0.398054 | − | 0.289203i | ||||
\(415\) | 6.84212 | + | 1.42306i | 0.335867 | + | 0.0698555i | ||||
\(416\) | 5.06290 | − | 3.67841i | 0.248229 | − | 0.180349i | ||||
\(417\) | 0.450265 | − | 1.38577i | 0.0220496 | − | 0.0678617i | ||||
\(418\) | 2.04820 | 0.100181 | ||||||||
\(419\) | 2.92896 | − | 9.01442i | 0.143089 | − | 0.440383i | −0.853671 | − | 0.520812i | \(-0.825629\pi\) |
0.996760 | + | 0.0804292i | \(0.0256291\pi\) | |||||||
\(420\) | 12.9449 | + | 14.2508i | 0.631645 | + | 0.695367i | ||||
\(421\) | 5.89159 | + | 18.1325i | 0.287139 | + | 0.883722i | 0.985749 | + | 0.168220i | \(0.0538019\pi\) |
−0.698611 | + | 0.715502i | \(0.746198\pi\) | |||||||
\(422\) | −1.94434 | − | 5.98407i | −0.0946490 | − | 0.291300i | ||||
\(423\) | 3.01818 | + | 2.19284i | 0.146749 | + | 0.106619i | ||||
\(424\) | 7.94167 | 0.385682 | ||||||||
\(425\) | −3.82149 | + | 39.6993i | −0.185369 | + | 1.92570i | ||||
\(426\) | 2.37252 | 0.114949 | ||||||||
\(427\) | −21.4278 | − | 15.5682i | −1.03697 | − | 0.753400i | ||||
\(428\) | 0.894009 | + | 2.75148i | 0.0432136 | + | 0.132998i | ||||
\(429\) | −8.02162 | − | 24.6880i | −0.387288 | − | 1.19195i | ||||
\(430\) | 2.22365 | − | 3.89070i | 0.107234 | − | 0.187626i | ||||
\(431\) | −7.54663 | + | 23.2261i | −0.363508 | + | 1.11876i | 0.587402 | + | 0.809295i | \(0.300151\pi\) |
−0.950910 | + | 0.309468i | \(0.899849\pi\) | |||||||
\(432\) | −3.84500 | −0.184993 | ||||||||
\(433\) | −7.70086 | + | 23.7008i | −0.370080 | + | 1.13899i | 0.576659 | + | 0.816985i | \(0.304356\pi\) |
−0.946738 | + | 0.322003i | \(0.895644\pi\) | |||||||
\(434\) | 1.77790 | − | 1.29172i | 0.0853417 | − | 0.0620044i | ||||
\(435\) | −1.60662 | − | 1.76870i | −0.0770316 | − | 0.0848028i | ||||
\(436\) | 1.72479 | + | 1.25313i | 0.0826023 | + | 0.0600141i | ||||
\(437\) | 7.35345 | − | 5.34259i | 0.351763 | − | 0.255571i | ||||
\(438\) | 22.9629 | − | 16.6835i | 1.09721 | − | 0.797169i | ||||
\(439\) | 30.6064 | + | 22.2369i | 1.46076 | + | 1.06131i | 0.983163 | + | 0.182730i | \(0.0584935\pi\) |
0.477601 | + | 0.878577i | \(0.341506\pi\) | |||||||
\(440\) | 3.07942 | + | 3.39009i | 0.146806 | + | 0.161616i | ||||
\(441\) | −9.86806 | + | 7.16956i | −0.469907 | + | 0.341408i | ||||
\(442\) | −15.4255 | + | 47.4748i | −0.733716 | + | 2.25815i | ||||
\(443\) | 22.1461 | 1.05219 | 0.526096 | − | 0.850425i | \(-0.323655\pi\) | ||||
0.526096 | + | 0.850425i | \(0.323655\pi\) | |||||||
\(444\) | 4.01317 | − | 12.3513i | 0.190457 | − | 0.586165i | ||||
\(445\) | 3.02563 | − | 5.29393i | 0.143429 | − | 0.250957i | ||||
\(446\) | −5.66856 | − | 17.4460i | −0.268414 | − | 0.826094i | ||||
\(447\) | −5.24185 | − | 16.1327i | −0.247931 | − | 0.763052i | ||||
\(448\) | −3.43946 | − | 2.49891i | −0.162499 | − | 0.118063i | ||||
\(449\) | 33.1179 | 1.56293 | 0.781465 | − | 0.623949i | \(-0.214473\pi\) | ||||
0.781465 | + | 0.623949i | \(0.214473\pi\) | |||||||
\(450\) | 5.37650 | − | 1.19210i | 0.253451 | − | 0.0561961i | ||||
\(451\) | −13.8079 | −0.650188 | ||||||||
\(452\) | 11.1086 | + | 8.07087i | 0.522504 | + | 0.379622i | ||||
\(453\) | 6.63391 | + | 20.4171i | 0.311689 | + | 0.959279i | ||||
\(454\) | −3.12369 | − | 9.61372i | −0.146602 | − | 0.451194i | ||||
\(455\) | 40.0011 | + | 44.0366i | 1.87528 | + | 2.06447i | ||||
\(456\) | −0.625820 | + | 1.92608i | −0.0293067 | + | 0.0901967i | ||||
\(457\) | −23.1121 | −1.08114 | −0.540569 | − | 0.841300i | \(-0.681791\pi\) | ||||
−0.540569 | + | 0.841300i | \(0.681791\pi\) | |||||||
\(458\) | −0.529968 | + | 1.63107i | −0.0247638 | + | 0.0762151i | ||||
\(459\) | 24.8125 | − | 18.0273i | 1.15815 | − | 0.841443i | ||||
\(460\) | 19.8986 | + | 4.13863i | 0.927777 | + | 0.192964i | ||||
\(461\) | 18.1891 | + | 13.2152i | 0.847152 | + | 0.615492i | 0.924359 | − | 0.381523i | \(-0.124600\pi\) |
−0.0772071 | + | 0.997015i | \(0.524600\pi\) | |||||||
\(462\) | −14.2669 | + | 10.3655i | −0.663755 | + | 0.482246i | ||||
\(463\) | −12.6326 | + | 9.17810i | −0.587085 | + | 0.426542i | −0.841271 | − | 0.540613i | \(-0.818192\pi\) |
0.254186 | + | 0.967155i | \(0.418192\pi\) | |||||||
\(464\) | 0.426881 | + | 0.310147i | 0.0198174 | + | 0.0143982i | ||||
\(465\) | −0.254870 | − | 2.32690i | −0.0118193 | − | 0.107908i | ||||
\(466\) | 6.92462 | − | 5.03103i | 0.320777 | − | 0.233058i | ||||
\(467\) | −8.51591 | + | 26.2093i | −0.394069 | + | 1.21282i | 0.535615 | + | 0.844462i | \(0.320080\pi\) |
−0.929684 | + | 0.368358i | \(0.879920\pi\) | |||||||
\(468\) | 6.89275 | 0.318617 | ||||||||
\(469\) | 2.67420 | − | 8.23033i | 0.123483 | − | 0.380041i | ||||
\(470\) | −7.41525 | − | 1.54227i | −0.342040 | − | 0.0711394i | ||||
\(471\) | 0.328384 | + | 1.01066i | 0.0151311 | + | 0.0465688i | ||||
\(472\) | −3.51255 | − | 10.8105i | −0.161678 | − | 0.497594i | ||||
\(473\) | 3.32085 | + | 2.41274i | 0.152693 | + | 0.110938i | ||||
\(474\) | −4.04859 | −0.185958 | ||||||||
\(475\) | −0.479090 | + | 4.97699i | −0.0219821 | + | 0.228360i | ||||
\(476\) | 33.9116 | 1.55434 | ||||||||
\(477\) | 7.07653 | + | 5.14140i | 0.324012 | + | 0.235409i | ||||
\(478\) | 1.90732 | + | 5.87014i | 0.0872389 | + | 0.268494i | ||||
\(479\) | 6.62148 | + | 20.3788i | 0.302543 | + | 0.931132i | 0.980583 | + | 0.196106i | \(0.0628298\pi\) |
−0.678040 | + | 0.735025i | \(0.737170\pi\) | |||||||
\(480\) | −4.12886 | + | 1.85999i | −0.188456 | + | 0.0848964i | ||||
\(481\) | 12.4012 | − | 38.1668i | 0.565444 | − | 1.74026i | ||||
\(482\) | 3.55886 | 0.162102 | ||||||||
\(483\) | −24.1833 | + | 74.4285i | −1.10038 | + | 3.38662i | ||||
\(484\) | 5.50527 | − | 3.99982i | 0.250240 | − | 0.181810i | ||||
\(485\) | −35.0907 | + | 15.8078i | −1.59339 | + | 0.717796i | ||||
\(486\) | −8.83988 | − | 6.42255i | −0.400985 | − | 0.291333i | ||||
\(487\) | −19.7604 | + | 14.3567i | −0.895428 | + | 0.650566i | −0.937288 | − | 0.348557i | \(-0.886672\pi\) |
0.0418598 | + | 0.999123i | \(0.486672\pi\) | |||||||
\(488\) | 5.04018 | − | 3.66190i | 0.228158 | − | 0.165767i | ||||
\(489\) | 1.25654 | + | 0.912932i | 0.0568228 | + | 0.0412842i | ||||
\(490\) | 12.2876 | − | 21.4996i | 0.555099 | − | 0.971253i | ||||
\(491\) | −4.87061 | + | 3.53870i | −0.219807 | + | 0.159699i | −0.692240 | − | 0.721667i | \(-0.743376\pi\) |
0.472433 | + | 0.881367i | \(0.343376\pi\) | |||||||
\(492\) | 4.21896 | − | 12.9846i | 0.190205 | − | 0.585392i | ||||
\(493\) | −4.20886 | −0.189557 | ||||||||
\(494\) | −1.93385 | + | 5.95179i | −0.0870082 | + | 0.267784i | ||||
\(495\) | 0.549236 | + | 5.01439i | 0.0246863 | + | 0.225380i | ||||
\(496\) | 0.159734 | + | 0.491612i | 0.00717228 | + | 0.0220740i | ||||
\(497\) | −1.53907 | − | 4.73677i | −0.0690367 | − | 0.212473i | ||||
\(498\) | −5.12066 | − | 3.72038i | −0.229462 | − | 0.166714i | ||||
\(499\) | 24.5265 | 1.09796 | 0.548980 | − | 0.835836i | \(-0.315016\pi\) | ||||
0.548980 | + | 0.835836i | \(0.315016\pi\) | |||||||
\(500\) | −8.95801 | + | 6.68985i | −0.400614 | + | 0.299179i | ||||
\(501\) | 5.84487 | 0.261130 | ||||||||
\(502\) | −14.0967 | − | 10.2419i | −0.629167 | − | 0.457117i | ||||
\(503\) | −10.2958 | − | 31.6871i | −0.459065 | − | 1.41286i | −0.866296 | − | 0.499532i | \(-0.833505\pi\) |
0.407230 | − | 0.913325i | \(-0.366495\pi\) | |||||||
\(504\) | −1.44699 | − | 4.45338i | −0.0644542 | − | 0.198370i | ||||
\(505\) | −3.17966 | − | 29.0295i | −0.141493 | − | 1.29180i | ||||
\(506\) | −5.75291 | + | 17.7056i | −0.255748 | + | 0.787111i | ||||
\(507\) | 52.9864 | 2.35321 | ||||||||
\(508\) | −1.15904 | + | 3.56715i | −0.0514240 | + | 0.158267i | ||||
\(509\) | 29.3592 | − | 21.3307i | 1.30132 | − | 0.945468i | 0.301357 | − | 0.953511i | \(-0.402560\pi\) |
0.999968 | + | 0.00804351i | \(0.00256036\pi\) | |||||||
\(510\) | 17.9237 | − | 31.3610i | 0.793675 | − | 1.38869i | ||||
\(511\) | −48.2050 | − | 35.0230i | −2.13246 | − | 1.54933i | ||||
\(512\) | 0.809017 | − | 0.587785i | 0.0357538 | − | 0.0259767i | ||||
\(513\) | 3.11067 | − | 2.26004i | 0.137340 | − | 0.0997831i | ||||
\(514\) | −22.0352 | − | 16.0095i | −0.971933 | − | 0.706150i | ||||
\(515\) | −14.4020 | + | 6.48785i | −0.634626 | + | 0.285889i | ||||
\(516\) | −3.28356 | + | 2.38565i | −0.144551 | + | 0.105022i | ||||
\(517\) | 2.14383 | − | 6.59803i | 0.0942856 | − | 0.290181i | ||||
\(518\) | −27.2628 | −1.19786 | ||||||||
\(519\) | 1.56344 | − | 4.81178i | 0.0686275 | − | 0.211214i | ||||
\(520\) | −12.7587 | + | 5.74757i | −0.559504 | + | 0.252048i | ||||
\(521\) | 4.67375 | + | 14.3843i | 0.204761 | + | 0.630189i | 0.999723 | + | 0.0235301i | \(0.00749057\pi\) |
−0.794962 | + | 0.606659i | \(0.792509\pi\) | |||||||
\(522\) | 0.179590 | + | 0.552721i | 0.00786044 | + | 0.0241920i | ||||
\(523\) | 8.14440 | + | 5.91725i | 0.356130 | + | 0.258743i | 0.751436 | − | 0.659806i | \(-0.229362\pi\) |
−0.395306 | + | 0.918549i | \(0.629362\pi\) | |||||||
\(524\) | −12.1532 | −0.530914 | ||||||||
\(525\) | −21.8504 | − | 37.0922i | −0.953629 | − | 1.61884i | ||||
\(526\) | −24.0327 | −1.04787 | ||||||||
\(527\) | −3.33572 | − | 2.42354i | −0.145306 | − | 0.105571i | ||||
\(528\) | −1.28180 | − | 3.94498i | −0.0557833 | − | 0.171683i | ||||
\(529\) | 18.4225 | + | 56.6987i | 0.800979 | + | 2.46516i | ||||
\(530\) | −17.3861 | − | 3.61605i | −0.755202 | − | 0.157071i | ||||
\(531\) | 3.86877 | − | 11.9069i | 0.167890 | − | 0.516714i | ||||
\(532\) | 4.25141 | 0.184322 | ||||||||
\(533\) | 13.0371 | − | 40.1239i | 0.564698 | − | 1.73796i | ||||
\(534\) | −4.46782 | + | 3.24606i | −0.193341 | + | 0.140471i | ||||
\(535\) | −0.704362 | − | 6.43065i | −0.0304522 | − | 0.278021i | ||||
\(536\) | 1.64678 | + | 1.19646i | 0.0711301 | + | 0.0516791i | ||||
\(537\) | −2.25084 | + | 1.63533i | −0.0971309 | + | 0.0705697i | ||||
\(538\) | 22.2219 | − | 16.1452i | 0.958055 | − | 0.696067i | ||||
\(539\) | 18.3507 | + | 13.3325i | 0.790419 | + | 0.574273i | ||||
\(540\) | 8.41755 | + | 1.75073i | 0.362234 | + | 0.0753395i | ||||
\(541\) | 1.17321 | − | 0.852384i | 0.0504401 | − | 0.0366468i | −0.562280 | − | 0.826947i | \(-0.690076\pi\) |
0.612720 | + | 0.790300i | \(0.290076\pi\) | |||||||
\(542\) | −2.35945 | + | 7.26165i | −0.101347 | + | 0.311915i | ||||
\(543\) | 19.3746 | 0.831443 | ||||||||
\(544\) | −2.46489 | + | 7.58616i | −0.105681 | + | 0.325254i | ||||
\(545\) | −3.20535 | − | 3.52872i | −0.137302 | − | 0.151154i | ||||
\(546\) | −16.6503 | − | 51.2445i | −0.712569 | − | 2.19306i | ||||
\(547\) | −6.05832 | − | 18.6456i | −0.259035 | − | 0.797227i | −0.993008 | − | 0.118049i | \(-0.962336\pi\) |
0.733973 | − | 0.679179i | \(-0.237664\pi\) | |||||||
\(548\) | −12.6851 | − | 9.21626i | −0.541880 | − | 0.393699i | ||||
\(549\) | 6.86182 | 0.292855 | ||||||||
\(550\) | −5.19794 | − | 8.82378i | −0.221641 | − | 0.376247i | ||||
\(551\) | −0.527653 | −0.0224788 | ||||||||
\(552\) | −14.8922 | − | 10.8198i | −0.633853 | − | 0.460521i | ||||
\(553\) | 2.62635 | + | 8.08307i | 0.111684 | + | 0.343727i | ||||
\(554\) | 3.74938 | + | 11.5394i | 0.159296 | + | 0.490262i | ||||
\(555\) | −14.4096 | + | 25.2123i | −0.611652 | + | 1.07020i | ||||
\(556\) | 0.222332 | − | 0.684267i | 0.00942897 | − | 0.0290194i | ||||
\(557\) | 39.1478 | 1.65875 | 0.829373 | − | 0.558695i | \(-0.188698\pi\) | ||||
0.829373 | + | 0.558695i | \(0.188698\pi\) | |||||||
\(558\) | −0.175934 | + | 0.541469i | −0.00744788 | + | 0.0229222i | ||||
\(559\) | −10.1466 | + | 7.37192i | −0.429154 | + | 0.311799i | ||||
\(560\) | 6.39191 | + | 7.03675i | 0.270108 | + | 0.297357i | ||||
\(561\) | 26.7677 | + | 19.4479i | 1.13013 | + | 0.821091i | ||||
\(562\) | 2.91347 | − | 2.11676i | 0.122897 | − | 0.0892901i | ||||
\(563\) | −3.73310 | + | 2.71226i | −0.157332 | + | 0.114308i | −0.663666 | − | 0.748029i | \(-0.731000\pi\) |
0.506334 | + | 0.862337i | \(0.331000\pi\) | |||||||
\(564\) | 5.54959 | + | 4.03201i | 0.233680 | + | 0.169778i | ||||
\(565\) | −20.6443 | − | 22.7269i | −0.868511 | − | 0.956129i | ||||
\(566\) | −7.83287 | + | 5.69091i | −0.329240 | + | 0.239207i | ||||
\(567\) | −14.5711 | + | 44.8451i | −0.611927 | + | 1.88332i | ||||
\(568\) | 1.17150 | 0.0491552 | ||||||||
\(569\) | −5.40168 | + | 16.6247i | −0.226450 | + | 0.696942i | 0.771691 | + | 0.635998i | \(0.219411\pi\) |
−0.998141 | + | 0.0609442i | \(0.980589\pi\) | |||||||
\(570\) | 2.24705 | − | 3.93165i | 0.0941185 | − | 0.164679i | ||||
\(571\) | −6.93749 | − | 21.3514i | −0.290325 | − | 0.893528i | −0.984752 | − | 0.173965i | \(-0.944342\pi\) |
0.694427 | − | 0.719563i | \(-0.255658\pi\) | |||||||
\(572\) | −3.96091 | − | 12.1904i | −0.165614 | − | 0.509708i | ||||
\(573\) | 27.7170 | + | 20.1376i | 1.15790 | + | 0.841261i | ||||
\(574\) | −28.6608 | −1.19628 | ||||||||
\(575\) | −41.6780 | − | 18.1207i | −1.73809 | − | 0.755686i | ||||
\(576\) | 1.10142 | 0.0458923 | ||||||||
\(577\) | −22.1122 | − | 16.0655i | −0.920545 | − | 0.668815i | 0.0231147 | − | 0.999733i | \(-0.492642\pi\) |
−0.943660 | + | 0.330918i | \(0.892642\pi\) | |||||||
\(578\) | −14.4081 | − | 44.3435i | −0.599296 | − | 1.84444i | ||||
\(579\) | 8.70438 | + | 26.7893i | 0.361742 | + | 1.11333i | ||||
\(580\) | −0.793317 | − | 0.873349i | −0.0329407 | − | 0.0362639i | ||||
\(581\) | −4.10598 | + | 12.6369i | −0.170345 | + | 0.524267i | ||||
\(582\) | 34.8574 | 1.44489 | ||||||||
\(583\) | 5.02650 | − | 15.4700i | 0.208176 | − | 0.640701i | ||||
\(584\) | 11.3386 | − | 8.23798i | 0.469195 | − | 0.340890i | ||||
\(585\) | −15.0897 | − | 3.13845i | −0.623884 | − | 0.129759i | ||||
\(586\) | 15.4257 | + | 11.2074i | 0.637230 | + | 0.462975i | ||||
\(587\) | 0.595380 | − | 0.432569i | 0.0245740 | − | 0.0178540i | −0.575430 | − | 0.817851i | \(-0.695165\pi\) |
0.600004 | + | 0.799997i | \(0.295165\pi\) | |||||||
\(588\) | −18.1446 | + | 13.1828i | −0.748271 | + | 0.543650i | ||||
\(589\) | −0.418190 | − | 0.303833i | −0.0172312 | − | 0.0125192i | ||||
\(590\) | 2.76743 | + | 25.2659i | 0.113933 | + | 1.04018i | ||||
\(591\) | −10.2352 | + | 7.43633i | −0.421021 | + | 0.305890i | ||||
\(592\) | 1.98162 | − | 6.09880i | 0.0814441 | − | 0.250659i | ||||
\(593\) | 18.7978 | 0.771934 | 0.385967 | − | 0.922513i | \(-0.373868\pi\) | ||||
0.385967 | + | 0.922513i | \(0.373868\pi\) | |||||||
\(594\) | −2.43361 | + | 7.48988i | −0.0998522 | + | 0.307313i | ||||
\(595\) | −74.2399 | − | 15.4408i | −3.04354 | − | 0.633013i | ||||
\(596\) | −2.58832 | − | 7.96602i | −0.106022 | − | 0.326301i | ||||
\(597\) | 8.51059 | + | 26.1929i | 0.348315 | + | 1.07200i | ||||
\(598\) | −46.0185 | − | 33.4344i | −1.88184 | − | 1.36723i | ||||
\(599\) | 35.3473 | 1.44425 | 0.722125 | − | 0.691763i | \(-0.243166\pi\) | ||||
0.722125 | + | 0.691763i | \(0.243166\pi\) | |||||||
\(600\) | 9.88589 | − | 2.19194i | 0.403590 | − | 0.0894855i | ||||
\(601\) | 21.0604 | 0.859072 | 0.429536 | − | 0.903050i | \(-0.358677\pi\) | ||||
0.429536 | + | 0.903050i | \(0.358677\pi\) | |||||||
\(602\) | 6.89304 | + | 5.00809i | 0.280939 | + | 0.204114i | ||||
\(603\) | 0.692806 | + | 2.13224i | 0.0282133 | + | 0.0868315i | ||||
\(604\) | 3.27569 | + | 10.0815i | 0.133286 | + | 0.410212i | ||||
\(605\) | −13.8735 | + | 6.24978i | −0.564037 | + | 0.254089i | ||||
\(606\) | −8.17324 | + | 25.1546i | −0.332015 | + | 1.02184i | ||||
\(607\) | 22.6110 | 0.917751 | 0.458876 | − | 0.888500i | \(-0.348252\pi\) | ||||
0.458876 | + | 0.888500i | \(0.348252\pi\) | |||||||
\(608\) | −0.309017 | + | 0.951057i | −0.0125323 | + | 0.0385704i | ||||
\(609\) | 3.67541 | − | 2.67034i | 0.148935 | − | 0.108208i | ||||
\(610\) | −12.7014 | + | 5.72178i | −0.514265 | + | 0.231668i | ||||
\(611\) | 17.1489 | + | 12.4594i | 0.693769 | + | 0.504053i | ||||
\(612\) | −7.10762 | + | 5.16399i | −0.287309 | + | 0.208742i | ||||
\(613\) | 22.9168 | − | 16.6500i | 0.925601 | − | 0.672489i | −0.0193108 | − | 0.999814i | \(-0.506147\pi\) |
0.944912 | + | 0.327325i | \(0.106147\pi\) | |||||||
\(614\) | −21.7538 | − | 15.8051i | −0.877913 | − | 0.637841i | ||||
\(615\) | −15.1485 | + | 26.5052i | −0.610845 | + | 1.06879i | ||||
\(616\) | −7.04469 | + | 5.11827i | −0.283839 | + | 0.206221i | ||||
\(617\) | −3.04098 | + | 9.35917i | −0.122425 | + | 0.376786i | −0.993423 | − | 0.114501i | \(-0.963473\pi\) |
0.870998 | + | 0.491287i | \(0.163473\pi\) | |||||||
\(618\) | 14.3062 | 0.575481 | ||||||||
\(619\) | −4.03812 | + | 12.4281i | −0.162306 | + | 0.499526i | −0.998828 | − | 0.0484076i | \(-0.984585\pi\) |
0.836522 | + | 0.547934i | \(0.184585\pi\) | |||||||
\(620\) | −0.125850 | − | 1.14898i | −0.00505425 | − | 0.0461440i | ||||
\(621\) | 10.7997 | + | 33.2381i | 0.433378 | + | 1.33380i | ||||
\(622\) | 9.92760 | + | 30.5540i | 0.398060 | + | 1.22510i | ||||
\(623\) | 9.37910 | + | 6.81432i | 0.375766 | + | 0.273010i | ||||
\(624\) | 12.6738 | 0.507360 | ||||||||
\(625\) | 22.6571 | − | 10.5667i | 0.906284 | − | 0.422669i | ||||
\(626\) | 5.18837 | 0.207369 | ||||||||
\(627\) | 3.35580 | + | 2.43813i | 0.134018 | + | 0.0973696i | ||||
\(628\) | 0.162149 | + | 0.499044i | 0.00647046 | + | 0.0199140i | ||||
\(629\) | 15.8065 | + | 48.6475i | 0.630247 | + | 1.93970i | ||||
\(630\) | 1.14004 | + | 10.4083i | 0.0454203 | + | 0.414676i | ||||
\(631\) | 4.75318 | − | 14.6288i | 0.189221 | − | 0.582363i | −0.810774 | − | 0.585359i | \(-0.800954\pi\) |
0.999996 | + | 0.00299591i | \(0.000953630\pi\) | |||||||
\(632\) | −1.99911 | −0.0795204 | ||||||||
\(633\) | 3.93767 | − | 12.1189i | 0.156508 | − | 0.481683i | ||||
\(634\) | 19.4213 | − | 14.1104i | 0.771320 | − | 0.560397i | ||||
\(635\) | 4.16160 | − | 7.28153i | 0.165148 | − | 0.288959i | ||||
\(636\) | 13.0118 | + | 9.45360i | 0.515950 | + | 0.374860i | ||||
\(637\) | −56.0689 | + | 40.7364i | −2.22153 | + | 1.61404i | ||||
\(638\) | 0.874335 | − | 0.635242i | 0.0346153 | − | 0.0251495i | ||||
\(639\) | 1.04388 | + | 0.758426i | 0.0412954 | + | 0.0300029i | ||||
\(640\) | −2.03875 | + | 0.918424i | −0.0805886 | + | 0.0363039i | ||||
\(641\) | −0.836583 | + | 0.607813i | −0.0330431 | + | 0.0240072i | −0.604184 | − | 0.796845i | \(-0.706501\pi\) |
0.571141 | + | 0.820852i | \(0.306501\pi\) | |||||||
\(642\) | −1.81054 | + | 5.57228i | −0.0714564 | + | 0.219920i | ||||
\(643\) | 5.92156 | 0.233523 | 0.116762 | − | 0.993160i | \(-0.462749\pi\) | ||||
0.116762 | + | 0.993160i | \(0.462749\pi\) | |||||||
\(644\) | −11.9412 | + | 36.7513i | −0.470550 | + | 1.44820i | ||||
\(645\) | 8.27468 | − | 3.72761i | 0.325815 | − | 0.146775i | ||||
\(646\) | −2.46489 | − | 7.58616i | −0.0969799 | − | 0.298473i | ||||
\(647\) | 6.89415 | + | 21.2180i | 0.271037 | + | 0.834166i | 0.990241 | + | 0.139367i | \(0.0445068\pi\) |
−0.719204 | + | 0.694799i | \(0.755493\pi\) | |||||||
\(648\) | −8.97291 | − | 6.51920i | −0.352489 | − | 0.256098i | ||||
\(649\) | −23.2815 | −0.913880 | ||||||||
\(650\) | 30.5485 | − | 6.77334i | 1.19821 | − | 0.265672i | ||||
\(651\) | 4.45057 | 0.174432 | ||||||||
\(652\) | 0.620455 | + | 0.450787i | 0.0242989 | + | 0.0176542i | ||||
\(653\) | −11.5665 | − | 35.5982i | −0.452634 | − | 1.39306i | −0.873891 | − | 0.486123i | \(-0.838411\pi\) |
0.421257 | − | 0.906941i | \(-0.361589\pi\) | |||||||
\(654\) | 1.33422 | + | 4.10630i | 0.0521721 | + | 0.160569i | ||||
\(655\) | 26.6060 | + | 5.53366i | 1.03958 | + | 0.216218i | ||||
\(656\) | 2.08324 | − | 6.41154i | 0.0813367 | − | 0.250329i | ||||
\(657\) | 15.4367 | 0.602241 | ||||||||
\(658\) | 4.44991 | − | 13.6954i | 0.173476 | − | 0.533903i | ||||
\(659\) | −1.89192 | + | 1.37456i | −0.0736986 | + | 0.0535452i | −0.624025 | − | 0.781405i | \(-0.714503\pi\) |
0.550326 | + | 0.834950i | \(0.314503\pi\) | |||||||
\(660\) | 1.00989 | + | 9.22006i | 0.0393100 | + | 0.358890i | ||||
\(661\) | 2.54168 | + | 1.84664i | 0.0988597 | + | 0.0718258i | 0.636117 | − | 0.771593i | \(-0.280540\pi\) |
−0.537257 | + | 0.843418i | \(0.680540\pi\) | |||||||
\(662\) | −25.1735 | + | 18.2896i | −0.978397 | + | 0.710847i | ||||
\(663\) | −81.7865 | + | 59.4213i | −3.17632 | + | 2.30773i | ||||
\(664\) | −2.52848 | − | 1.83705i | −0.0981240 | − | 0.0712913i | ||||
\(665\) | −9.30726 | − | 1.93578i | −0.360920 | − | 0.0750662i | ||||
\(666\) | 5.71409 | − | 4.15153i | 0.221417 | − | 0.160869i | ||||
\(667\) | 1.48206 | − | 4.56130i | 0.0573854 | − | 0.176614i | ||||
\(668\) | 2.88608 | 0.111666 | ||||||||
\(669\) | 11.4799 | − | 35.3316i | 0.443840 | − | 1.36600i | ||||
\(670\) | −3.06039 | − | 3.36913i | −0.118233 | − | 0.130161i | ||||
\(671\) | −3.94314 | − | 12.1357i | −0.152223 | − | 0.468495i | ||||
\(672\) | −2.66061 | − | 8.18853i | −0.102635 | − | 0.315879i | ||||
\(673\) | −18.0811 | − | 13.1367i | −0.696976 | − | 0.506383i | 0.181970 | − | 0.983304i | \(-0.441753\pi\) |
−0.878946 | + | 0.476921i | \(0.841753\pi\) | |||||||
\(674\) | −27.1318 | −1.04508 | ||||||||
\(675\) | −17.6307 | − | 7.66547i | −0.678606 | − | 0.295044i | ||||
\(676\) | 26.1636 | 1.00629 | ||||||||
\(677\) | −19.3170 | − | 14.0347i | −0.742414 | − | 0.539396i | 0.151052 | − | 0.988526i | \(-0.451734\pi\) |
−0.893466 | + | 0.449130i | \(0.851734\pi\) | |||||||
\(678\) | 8.59312 | + | 26.4469i | 0.330017 | + | 1.01569i | ||||
\(679\) | −22.6123 | − | 69.5934i | −0.867779 | − | 2.67075i | ||||
\(680\) | 8.85036 | − | 15.4854i | 0.339396 | − | 0.593839i | ||||
\(681\) | 6.32608 | − | 19.4697i | 0.242416 | − | 0.746079i | ||||
\(682\) | 1.05874 | 0.0405411 | ||||||||
\(683\) | −7.95351 | + | 24.4784i | −0.304333 | + | 0.936640i | 0.675593 | + | 0.737275i | \(0.263888\pi\) |
−0.979925 | + | 0.199365i | \(0.936112\pi\) | |||||||
\(684\) | −0.891064 | + | 0.647396i | −0.0340707 | + | 0.0247538i | ||||
\(685\) | 23.5740 | + | 25.9523i | 0.900718 | + | 0.991585i | ||||
\(686\) | 14.0140 | + | 10.1817i | 0.535056 | + | 0.388741i | ||||
\(687\) | −2.80991 | + | 2.04152i | −0.107205 | + | 0.0778887i | ||||
\(688\) | −1.62136 | + | 1.17798i | −0.0618136 | + | 0.0449102i | ||||
\(689\) | 40.2078 | + | 29.2127i | 1.53180 | + | 1.11292i | ||||
\(690\) | 27.6757 | + | 30.4677i | 1.05360 | + | 1.15989i | ||||
\(691\) | −18.2696 | + | 13.2736i | −0.695008 | + | 0.504953i | −0.878303 | − | 0.478105i | \(-0.841324\pi\) |
0.183295 | + | 0.983058i | \(0.441324\pi\) | |||||||
\(692\) | 0.771996 | − | 2.37596i | 0.0293469 | − | 0.0903205i | ||||
\(693\) | −9.59081 | −0.364325 | ||||||||
\(694\) | 0.874135 | − | 2.69031i | 0.0331817 | − | 0.102123i | ||||
\(695\) | −0.798298 | + | 1.39678i | −0.0302812 | + | 0.0529828i | ||||
\(696\) | 0.330216 | + | 1.01630i | 0.0125168 | + | 0.0385228i | ||||
\(697\) | 16.6170 | + | 51.1420i | 0.629415 | + | 1.93714i | ||||
\(698\) | −20.1471 | − | 14.6377i | −0.762580 | − | 0.554047i | ||||
\(699\) | 17.3343 | 0.655642 | ||||||||
\(700\) | −10.7893 | − | 18.3154i | −0.407796 | − | 0.692256i | ||||
\(701\) | −32.1051 | −1.21259 | −0.606297 | − | 0.795239i | \(-0.707346\pi\) | ||||
−0.606297 | + | 0.795239i | \(0.707346\pi\) | |||||||
\(702\) | −19.4669 | − | 14.1435i | −0.734729 | − | 0.533812i | ||||
\(703\) | 1.98162 | + | 6.09880i | 0.0747383 | + | 0.230021i | ||||
\(704\) | −0.632927 | − | 1.94795i | −0.0238543 | − | 0.0734161i | ||||
\(705\) | −10.3134 | − | 11.3538i | −0.388425 | − | 0.427610i | ||||
\(706\) | 2.33483 | − | 7.18586i | 0.0878724 | − | 0.270444i | ||||
\(707\) | 55.5236 | 2.08818 | ||||||||
\(708\) | 7.11359 | − | 21.8934i | 0.267345 | − | 0.822804i | ||||
\(709\) | −21.6702 | + | 15.7443i | −0.813842 | + | 0.591291i | −0.914942 | − | 0.403585i | \(-0.867764\pi\) |
0.101100 | + | 0.994876i | \(0.467764\pi\) | |||||||
\(710\) | −2.56468 | − | 0.533416i | −0.0962505 | − | 0.0200187i | ||||
\(711\) | −1.78134 | − | 1.29422i | −0.0668054 | − | 0.0485369i | ||||
\(712\) | −2.20612 | + | 1.60284i | −0.0826777 | + | 0.0600689i | ||||
\(713\) | 3.80108 | − | 2.76165i | 0.142352 | − | 0.103424i | ||||
\(714\) | 55.5613 | + | 40.3677i | 2.07933 | + | 1.51072i | ||||
\(715\) | 3.12068 | + | 28.4910i | 0.116707 | + | 1.06550i | ||||
\(716\) | −1.11142 | + | 0.807493i | −0.0415357 | + | 0.0301774i | ||||
\(717\) | −3.86270 | + | 11.8882i | −0.144255 | + | 0.443972i | ||||
\(718\) | −22.6642 | −0.845822 | ||||||||
\(719\) | 9.96146 | − | 30.6582i | 0.371500 | − | 1.14336i | −0.574310 | − | 0.818638i | \(-0.694730\pi\) |
0.945810 | − | 0.324721i | \(-0.105270\pi\) | |||||||
\(720\) | −2.41124 | − | 0.501503i | −0.0898616 | − | 0.0186899i | ||||
\(721\) | −9.28054 | − | 28.5626i | −0.345625 | − | 1.06373i | ||||
\(722\) | −0.309017 | − | 0.951057i | −0.0115004 | − | 0.0353947i | ||||
\(723\) | 5.83090 | + | 4.23639i | 0.216853 | + | 0.157553i | ||||
\(724\) | 9.56677 | 0.355546 | ||||||||
\(725\) | 1.33909 | + | 2.27317i | 0.0497324 | + | 0.0844234i | ||||
\(726\) | 13.7812 | 0.511470 | ||||||||
\(727\) | 20.3061 | + | 14.7533i | 0.753113 | + | 0.547169i | 0.896790 | − | 0.442456i | \(-0.145893\pi\) |
−0.143677 | + | 0.989625i | \(0.545893\pi\) | |||||||
\(728\) | −8.22160 | − | 25.3035i | −0.304713 | − | 0.937810i | ||||
\(729\) | 3.44390 | + | 10.5992i | 0.127552 | + | 0.392565i | ||||
\(730\) | −28.5736 | + | 12.8720i | −1.05756 | + | 0.476413i | ||||
\(731\) | 4.93990 | − | 15.2035i | 0.182709 | − | 0.562320i | ||||
\(732\) | 12.6170 | 0.466337 | ||||||||
\(733\) | −12.7385 | + | 39.2051i | −0.470508 | + | 1.44807i | 0.381413 | + | 0.924405i | \(0.375437\pi\) |
−0.851921 | + | 0.523670i | \(0.824563\pi\) | |||||||
\(734\) | 10.8283 | − | 7.86721i | 0.399680 | − | 0.290384i | ||||
\(735\) | 45.7250 | − | 20.5984i | 1.68659 | − | 0.759782i | ||||
\(736\) | −7.35345 | − | 5.34259i | −0.271052 | − | 0.196931i | ||||
\(737\) | 3.37293 | − | 2.45058i | 0.124244 | − | 0.0902682i | ||||
\(738\) | 6.00710 | − | 4.36441i | 0.221124 | − | 0.160656i | ||||
\(739\) | 32.1474 | + | 23.3565i | 1.18256 | + | 0.859182i | 0.992458 | − | 0.122582i | \(-0.0391173\pi\) |
0.190105 | + | 0.981764i | \(0.439117\pi\) | |||||||
\(740\) | −7.11515 | + | 12.4493i | −0.261558 | + | 0.457646i | ||||
\(741\) | −10.2534 | + | 7.44950i | −0.376666 | + | 0.273664i | ||||
\(742\) | 10.4334 | − | 32.1108i | 0.383023 | − | 1.17882i | ||||
\(743\) | 0.225801 | 0.00828385 | 0.00414193 | − | 0.999991i | \(-0.498682\pi\) | ||||
0.00414193 | + | 0.999991i | \(0.498682\pi\) | |||||||
\(744\) | −0.323493 | + | 0.995610i | −0.0118598 | + | 0.0365008i | ||||
\(745\) | 2.03925 | + | 18.6179i | 0.0747125 | + | 0.682106i | ||||
\(746\) | −1.24600 | − | 3.83479i | −0.0456193 | − | 0.140402i | ||||
\(747\) | −1.06374 | − | 3.27385i | −0.0389202 | − | 0.119784i | ||||
\(748\) | 13.2174 | + | 9.60297i | 0.483275 | + | 0.351119i | ||||
\(749\) | 12.2996 | 0.449419 | ||||||||
\(750\) | −22.6404 | + | 0.297329i | −0.826711 | + | 0.0108569i | ||||
\(751\) | −48.7573 | −1.77918 | −0.889589 | − | 0.456761i | \(-0.849009\pi\) | ||||
−0.889589 | + | 0.456761i | \(0.849009\pi\) | |||||||
\(752\) | 2.74028 | + | 1.99093i | 0.0999276 | + | 0.0726016i | ||||
\(753\) | −10.9046 | − | 33.5609i | −0.397385 | − | 1.22303i | ||||
\(754\) | 1.02040 | + | 3.14048i | 0.0371610 | + | 0.114370i | ||||
\(755\) | −2.58081 | − | 23.5622i | −0.0939255 | − | 0.857517i | ||||
\(756\) | −5.05140 | + | 15.5466i | −0.183718 | + | 0.565425i | ||||
\(757\) | −37.3824 | −1.35869 | −0.679343 | − | 0.733821i | \(-0.737735\pi\) | ||||
−0.679343 | + | 0.733821i | \(0.737735\pi\) | |||||||
\(758\) | 1.30323 | − | 4.01093i | 0.0473355 | − | 0.145684i | ||||
\(759\) | −30.5021 | + | 22.1611i | −1.10716 | + | 0.804396i | ||||
\(760\) | 1.10955 | − | 1.94137i | 0.0402475 | − | 0.0704208i | ||||
\(761\) | 21.0643 | + | 15.3041i | 0.763580 | + | 0.554773i | 0.900006 | − | 0.435877i | \(-0.143562\pi\) |
−0.136426 | + | 0.990650i | \(0.543562\pi\) | |||||||
\(762\) | −6.14525 | + | 4.46479i | −0.222619 | + | 0.161742i | ||||
\(763\) | 7.33277 | − | 5.32757i | 0.265464 | − | 0.192871i | ||||
\(764\) | 13.6861 | + | 9.94354i | 0.495146 | + | 0.359745i | ||||
\(765\) | 17.9114 | − | 8.06882i | 0.647589 | − | 0.291729i | ||||
\(766\) | −21.4250 | + | 15.5662i | −0.774118 | + | 0.562430i | ||||
\(767\) | 21.9818 | − | 67.6531i | 0.793717 | − | 2.44281i | ||||
\(768\) | 2.02520 | 0.0730779 | ||||||||
\(769\) | 10.5539 | − | 32.4816i | 0.380584 | − | 1.17132i | −0.559050 | − | 0.829134i | \(-0.688834\pi\) |
0.939633 | − | 0.342183i | \(-0.111166\pi\) | |||||||
\(770\) | 17.7528 | − | 7.99737i | 0.639768 | − | 0.288205i | ||||
\(771\) | −17.0455 | − | 52.4606i | −0.613878 | − | 1.88932i | ||||
\(772\) | 4.29805 | + | 13.2280i | 0.154690 | + | 0.476087i | ||||
\(773\) | 31.9779 | + | 23.2333i | 1.15016 | + | 0.835643i | 0.988503 | − | 0.151203i | \(-0.0483148\pi\) |
0.161661 | + | 0.986846i | \(0.448315\pi\) | |||||||
\(774\) | −2.20735 | −0.0793417 | ||||||||
\(775\) | −0.247647 | + | 2.57266i | −0.00889574 | + | 0.0924128i | ||||
\(776\) | 17.2119 | 0.617871 | ||||||||
\(777\) | −44.6679 | − | 32.4531i | −1.60245 | − | 1.16425i | ||||
\(778\) | −0.521676 | − | 1.60555i | −0.0187030 | − | 0.0575618i | ||||
\(779\) | 2.08324 | + | 6.41154i | 0.0746396 | + | 0.229717i | ||||
\(780\) | −27.7458 | − | 5.77073i | −0.993459 | − | 0.206625i | ||||
\(781\) | 0.741476 | − | 2.28203i | 0.0265321 | − | 0.0816574i | ||||
\(782\) | 72.5018 | 2.59266 | ||||||||
\(783\) | 0.626943 | − | 1.92953i | 0.0224051 | − | 0.0689558i | ||||
\(784\) | −8.95943 | + | 6.50941i | −0.319980 | + | 0.232479i | ||||
\(785\) | −0.127752 | − | 1.16635i | −0.00455967 | − | 0.0416287i | ||||
\(786\) | −19.9120 | − | 14.4669i | −0.710236 | − | 0.516017i | ||||
\(787\) | 26.8935 | − | 19.5393i | 0.958649 | − | 0.696499i | 0.00581237 | − | 0.999983i | \(-0.498150\pi\) |
0.952837 | + | 0.303484i | \(0.0981499\pi\) | |||||||
\(788\) | −5.05395 | + | 3.67191i | −0.180039 | + | 0.130806i | ||||
\(789\) | −39.3756 | − | 28.6080i | −1.40181 | − | 1.01847i | ||||
\(790\) | 4.37650 | + | 0.910249i | 0.155709 | + | 0.0323852i | ||||
\(791\) | 47.2272 | − | 34.3125i | 1.67920 | − | 1.22001i | ||||
\(792\) | 0.697116 | − | 2.14550i | 0.0247709 | − | 0.0762371i | ||||
\(793\) | 38.9879 | 1.38450 | ||||||||
\(794\) | 5.29503 | − | 16.2964i | 0.187914 | − | 0.578339i | ||||
\(795\) | −24.1811 | − | 26.6206i | −0.857616 | − | 0.944135i | ||||
\(796\) | 4.20236 | + | 12.9335i | 0.148949 | + | 0.458417i | ||||
\(797\) | −6.81817 | − | 20.9842i | −0.241512 | − | 0.743298i | −0.996191 | − | 0.0872029i | \(-0.972207\pi\) |
0.754678 | − | 0.656095i | \(-0.227793\pi\) | |||||||
\(798\) | 6.96558 | + | 5.06079i | 0.246579 | + | 0.179150i | ||||
\(799\) | −27.0179 | −0.955826 | ||||||||
\(800\) | 4.88145 | − | 1.08233i | 0.172585 | − | 0.0382663i | ||||
\(801\) | −3.00346 | −0.106122 | ||||||||
\(802\) | −15.1508 | − | 11.0077i | −0.534994 | − | 0.388696i | ||||
\(803\) | −8.87066 | − | 27.3011i | −0.313039 | − | 0.963434i | ||||
\(804\) | 1.27388 | + | 3.92059i | 0.0449262 | + | 0.138269i | ||||
\(805\) | 42.8758 | − | 75.0195i | 1.51117 | − | 2.64409i | ||||
\(806\) | −0.999631 | + | 3.07655i | −0.0352105 | + | 0.108367i | ||||
\(807\) | 55.6276 | 1.95819 | ||||||||
\(808\) | −4.03578 | + | 12.4208i | −0.141978 | + | 0.436964i | ||||
\(809\) | 8.02341 | − | 5.82935i | 0.282088 | − | 0.204949i | −0.437740 | − | 0.899102i | \(-0.644221\pi\) |
0.719828 | + | 0.694153i | \(0.244221\pi\) | |||||||
\(810\) | 16.6753 | + | 18.3576i | 0.585910 | + | 0.645019i | ||||
\(811\) | −43.3992 | − | 31.5314i | −1.52395 | − | 1.10722i | −0.959485 | − | 0.281760i | \(-0.909082\pi\) |
−0.564467 | − | 0.825456i | \(-0.690918\pi\) | |||||||
\(812\) | 1.81484 | − | 1.31856i | 0.0636885 | − | 0.0462724i | ||||
\(813\) | −12.5099 | + | 9.08897i | −0.438741 | + | 0.318764i | ||||
\(814\) | −10.6259 | − | 7.72020i | −0.372439 | − | 0.270593i | ||||
\(815\) | −1.15306 | − | 1.26938i | −0.0403898 | − | 0.0444645i | ||||
\(816\) | −13.0689 | + | 9.49513i | −0.457504 | + | 0.332396i | ||||
\(817\) | 0.619303 | − | 1.90602i | 0.0216667 | − | 0.0666831i | ||||
\(818\) | −14.5215 | −0.507733 | ||||||||
\(819\) | 9.05540 | − | 27.8697i | 0.316421 | − | 0.973845i | ||||
\(820\) | −7.48000 | + | 13.0877i | −0.261213 | + | 0.457043i | ||||
\(821\) | 15.8069 | + | 48.6485i | 0.551664 | + | 1.69785i | 0.704596 | + | 0.709609i | \(0.251128\pi\) |
−0.152932 | + | 0.988237i | \(0.548872\pi\) | |||||||
\(822\) | −9.81263 | − | 30.2002i | −0.342255 | − | 1.05335i | ||||
\(823\) | 5.31704 | + | 3.86306i | 0.185340 | + | 0.134658i | 0.676587 | − | 0.736363i | \(-0.263458\pi\) |
−0.491246 | + | 0.871021i | \(0.663458\pi\) | |||||||
\(824\) | 7.06412 | 0.246090 | ||||||||
\(825\) | 1.98726 | − | 20.6446i | 0.0691876 | − | 0.718751i | ||||
\(826\) | −48.3251 | −1.68144 | ||||||||
\(827\) | 14.1207 | + | 10.2593i | 0.491024 | + | 0.356750i | 0.805578 | − | 0.592490i | \(-0.201855\pi\) |
−0.314554 | + | 0.949240i | \(0.601855\pi\) | |||||||
\(828\) | −3.09362 | − | 9.52118i | −0.107511 | − | 0.330884i | ||||
\(829\) | −0.563900 | − | 1.73550i | −0.0195850 | − | 0.0602766i | 0.940786 | − | 0.339000i | \(-0.110089\pi\) |
−0.960371 | + | 0.278724i | \(0.910089\pi\) | |||||||
\(830\) | 4.69894 | + | 5.17298i | 0.163103 | + | 0.179557i | ||||
\(831\) | −7.59322 | + | 23.3695i | −0.263406 | + | 0.810680i | ||||
\(832\) | 6.25808 | 0.216960 | ||||||||
\(833\) | 27.2974 | − | 84.0126i | 0.945797 | − | 2.91087i | ||||
\(834\) | 1.17881 | − | 0.856456i | 0.0408188 | − | 0.0296566i | ||||
\(835\) | −6.31826 | − | 1.31411i | −0.218652 | − | 0.0454766i | ||||
\(836\) | 1.65703 | + | 1.20390i | 0.0573094 | + | 0.0416377i | ||||
\(837\) | 1.60794 | − | 1.16824i | 0.0555786 | − | 0.0403802i | ||||
\(838\) | 7.66812 | − | 5.57122i | 0.264891 | − | 0.192455i | ||||
\(839\) | 1.32103 | + | 0.959786i | 0.0456071 | + | 0.0331355i | 0.610355 | − | 0.792128i | \(-0.291027\pi\) |
−0.564748 | + | 0.825263i | \(0.691027\pi\) | |||||||
\(840\) | 2.09622 | + | 19.1379i | 0.0723263 | + | 0.660321i | ||||
\(841\) | 23.2362 | − | 16.8821i | 0.801250 | − | 0.582142i | ||||
\(842\) | −5.89159 | + | 18.1325i | −0.203038 | + | 0.624886i | ||||
\(843\) | 7.29322 | 0.251192 | ||||||||
\(844\) | 1.94434 | − | 5.98407i | 0.0669270 | − | 0.205980i | ||||
\(845\) | −57.2779 | − | 11.9130i | −1.97042 | − | 0.409819i | ||||
\(846\) | 1.15284 | + | 3.54809i | 0.0396355 | + | 0.121986i | ||||
\(847\) | −8.93998 | − | 27.5144i | −0.307181 | − | 0.945407i | ||||
\(848\) | 6.42495 | + | 4.66800i | 0.220634 | + | 0.160300i | ||||
\(849\) | −19.6079 | −0.672940 | ||||||||
\(850\) | −26.4263 | + | 29.8712i | −0.906415 | + | 1.02457i | ||||
\(851\) | −58.2870 | −1.99805 | ||||||||
\(852\) | 1.91941 | + | 1.39453i | 0.0657579 | + | 0.0477759i | ||||
\(853\) | 13.8220 | + | 42.5398i | 0.473257 | + | 1.45654i | 0.848294 | + | 0.529526i | \(0.177630\pi\) |
−0.375036 | + | 0.927010i | \(0.622370\pi\) | |||||||
\(854\) | −8.18471 | − | 25.1899i | −0.280075 | − | 0.861982i | ||||
\(855\) | 2.24551 | − | 1.01157i | 0.0767948 | − | 0.0345948i | ||||
\(856\) | −0.894009 | + | 2.75148i | −0.0305566 | + | 0.0940436i | ||||
\(857\) | 39.7755 | 1.35871 | 0.679353 | − | 0.733812i | \(-0.262261\pi\) | ||||
0.679353 | + | 0.733812i | \(0.262261\pi\) | |||||||
\(858\) | 8.02162 | − | 24.6880i | 0.273854 | − | 0.842835i | ||||
\(859\) | −4.37594 | + | 3.17931i | −0.149305 | + | 0.108476i | −0.659930 | − | 0.751327i | \(-0.729414\pi\) |
0.510625 | + | 0.859804i | \(0.329414\pi\) | |||||||
\(860\) | 4.08587 | − | 1.84062i | 0.139327 | − | 0.0627646i | ||||
\(861\) | −46.9584 | − | 34.1173i | −1.60034 | − | 1.16271i | ||||
\(862\) | −19.7573 | + | 14.3545i | −0.672937 | + | 0.488917i | ||||
\(863\) | 47.4499 | − | 34.4744i | 1.61521 | − | 1.17352i | 0.772912 | − | 0.634513i | \(-0.218799\pi\) |
0.842301 | − | 0.539008i | \(-0.181201\pi\) | |||||||
\(864\) | −3.11067 | − | 2.26004i | −0.105827 | − | 0.0768880i | ||||
\(865\) | −2.77191 | + | 4.84999i | −0.0942476 | + | 0.164904i | ||||
\(866\) | −20.1611 | + | 14.6479i | −0.685103 | + | 0.497756i | ||||
\(867\) | 29.1791 | − | 89.8042i | 0.990975 | − | 3.04991i | ||||
\(868\) | 2.19760 | 0.0745914 | ||||||||
\(869\) | −1.26529 | + | 3.89417i | −0.0429221 | + | 0.132101i | ||||
\(870\) | −0.260167 | − | 2.37526i | −0.00882048 | − | 0.0805288i | ||||
\(871\) | 3.93643 | + | 12.1151i | 0.133381 | + | 0.410504i | ||||
\(872\) | 0.658810 | + | 2.02761i | 0.0223101 | + | 0.0686635i | ||||
\(873\) | 15.3369 | + | 11.1429i | 0.519075 | + | 0.377130i | ||||
\(874\) | 9.08936 | 0.307452 | ||||||||
\(875\) | 15.2806 | + | 45.0090i | 0.516579 | + | 1.52158i | ||||
\(876\) | 28.3837 | 0.958996 | ||||||||
\(877\) | 3.90835 | + | 2.83958i | 0.131976 | + | 0.0958859i | 0.651815 | − | 0.758378i | \(-0.274008\pi\) |
−0.519839 | + | 0.854264i | \(0.674008\pi\) | |||||||
\(878\) | 11.6906 | + | 35.9800i | 0.394539 | + | 1.21427i | ||||
\(879\) | 11.9326 | + | 36.7249i | 0.402478 | + | 1.23870i | ||||
\(880\) | 0.498664 | + | 4.55268i | 0.0168099 | + | 0.153471i | ||||
\(881\) | −0.626401 | + | 1.92786i | −0.0211040 | + | 0.0649514i | −0.961054 | − | 0.276361i | \(-0.910871\pi\) |
0.939950 | + | 0.341312i | \(0.110871\pi\) | |||||||
\(882\) | −12.1976 | −0.410714 | ||||||||
\(883\) | 7.92440 | − | 24.3888i | 0.266677 | − | 0.820749i | −0.724625 | − | 0.689144i | \(-0.757987\pi\) |
0.991302 | − | 0.131605i | \(-0.0420131\pi\) | |||||||
\(884\) | −40.3845 | + | 29.3410i | −1.35828 | + | 0.986846i | ||||
\(885\) | −25.5418 | + | 44.6904i | −0.858580 | + | 1.50225i | ||||
\(886\) | 17.9165 | + | 13.0171i | 0.601918 | + | 0.437319i | ||||
\(887\) | 43.9199 | − | 31.9097i | 1.47469 | − | 1.07142i | 0.495465 | − | 0.868628i | \(-0.334998\pi\) |
0.979221 | − | 0.202795i | \(-0.0650024\pi\) | |||||||
\(888\) | 10.5066 | − | 7.63350i | 0.352579 | − | 0.256164i | ||||
\(889\) | 12.9005 | + | 9.37274i | 0.432668 | + | 0.314352i | ||||
\(890\) | 5.55949 | − | 2.50446i | 0.186354 | − | 0.0839497i | ||||
\(891\) | −18.3783 | + | 13.3526i | −0.615696 | + | 0.447329i | ||||
\(892\) | 5.66856 | − | 17.4460i | 0.189798 | − | 0.584137i | ||||
\(893\) | −3.38717 | −0.113347 | ||||||||
\(894\) | 5.24185 | − | 16.1327i | 0.175314 | − | 0.539560i | ||||
\(895\) | 2.80081 | − | 1.26172i | 0.0936208 | − | 0.0421747i | ||||
\(896\) | −1.31376 | − | 4.04333i | −0.0438895 | − | 0.135078i | ||||
\(897\) | −35.5979 | − | 109.559i | −1.18858 | − | 3.65807i | ||||
\(898\) | 26.7929 | + | 19.4662i | 0.894092 | + | 0.649596i | ||||
\(899\) | −0.272750 | −0.00909672 | ||||||||
\(900\) | 5.05038 | + | 2.19580i | 0.168346 | + | 0.0731934i | ||||
\(901\) | −63.3472 | −2.11040 | ||||||||
\(902\) | −11.1708 | − | 8.11608i | −0.371948 | − | 0.270236i | ||||
\(903\) | 5.33215 | + | 16.4107i | 0.177443 | + | 0.546113i | ||||
\(904\) | 4.24311 | + | 13.0589i | 0.141124 | + | 0.434334i | ||||
\(905\) | −20.9438 | − | 4.35600i | −0.696194 | − | 0.144798i | ||||
\(906\) | −6.63391 | + | 20.4171i | −0.220397 | + | 0.678312i | ||||
\(907\) | −27.2456 | −0.904676 | −0.452338 | − | 0.891847i | \(-0.649410\pi\) | ||||
−0.452338 | + | 0.891847i | \(0.649410\pi\) | |||||||
\(908\) | 3.12369 | − | 9.61372i | 0.103663 | − | 0.319042i | ||||
\(909\) | −11.6373 | + | 8.45502i | −0.385986 | + | 0.280435i | ||||
\(910\) | 6.47754 | + | 59.1384i | 0.214728 | + | 1.96042i | ||||
\(911\) | 16.0608 | + | 11.6688i | 0.532116 | + | 0.386605i | 0.821149 | − | 0.570714i | \(-0.193334\pi\) |
−0.289032 | + | 0.957319i | \(0.593334\pi\) | |||||||
\(912\) | −1.63842 | + | 1.19038i | −0.0542534 | + | 0.0394174i | ||||
\(913\) | −5.17882 | + | 3.76263i | −0.171394 | + | 0.124525i | ||||
\(914\) | −18.6981 | − | 13.5849i | −0.618477 | − | 0.449350i | ||||
\(915\) | −27.6213 | − | 5.74484i | −0.913132 | − | 0.189918i | ||||
\(916\) | −1.38747 | + | 1.00806i | −0.0458434 | + | 0.0333072i | ||||
\(917\) | −15.9663 | + | 49.1393i | −0.527254 | + | 1.62272i | ||||
\(918\) | 30.6699 | 1.01226 | ||||||||
\(919\) | −7.57618 | + | 23.3171i | −0.249915 | + | 0.769160i | 0.744874 | + | 0.667205i | \(0.232510\pi\) |
−0.994789 | + | 0.101955i | \(0.967490\pi\) | |||||||
\(920\) | 13.6657 | + | 15.0443i | 0.450544 | + | 0.495997i | ||||
\(921\) | −16.8278 | − | 51.7906i | −0.554495 | − | 1.70656i | ||||
\(922\) | 6.94763 | + | 21.3826i | 0.228808 | + | 0.704199i | ||||
\(923\) | 5.93120 | + | 4.30927i | 0.195228 | + | 0.141841i | ||||
\(924\) | −17.6348 | −0.580143 | ||||||||
\(925\) | 21.2451 | − | 24.0146i | 0.698535 | − | 0.789595i | ||||
\(926\) | −15.6147 | −0.513131 | ||||||||
\(927\) | 6.29458 | + | 4.57328i | 0.206741 | + | 0.150206i | ||||
\(928\) | 0.163054 | + | 0.501828i | 0.00535251 | + | 0.0164733i | ||||
\(929\) | 13.3034 | + | 40.9438i | 0.436472 | + | 1.34332i | 0.891571 | + | 0.452881i | \(0.149604\pi\) |
−0.455099 | + | 0.890441i | \(0.650396\pi\) | |||||||
\(930\) | 1.16152 | − | 2.03231i | 0.0380879 | − | 0.0666422i | ||||
\(931\) | 3.42220 | − | 10.5324i | 0.112158 | − | 0.345187i | ||||
\(932\) | 8.55931 | 0.280369 | ||||||||
\(933\) | −20.1053 | + | 61.8778i | −0.658219 | + | 2.02579i | ||||
\(934\) | −22.2949 | + | 16.1982i | −0.729512 | + | 0.530022i | ||||
\(935\) | −24.5632 | − | 27.0412i | −0.803303 | − | 0.884342i | ||||
\(936\) | 5.57635 | + | 4.05146i | 0.182269 | + | 0.132426i | ||||
\(937\) | −10.4557 | + | 7.59650i | −0.341572 | + | 0.248167i | −0.745325 | − | 0.666701i | \(-0.767706\pi\) |
0.403753 | + | 0.914868i | \(0.367706\pi\) | |||||||
\(938\) | 7.00114 | − | 5.08662i | 0.228595 | − | 0.166084i | ||||
\(939\) | 8.50072 | + | 6.17614i | 0.277411 | + | 0.201551i | ||||
\(940\) | −5.09254 | − | 5.60629i | −0.166100 | − | 0.182857i | ||||
\(941\) | −5.24177 | + | 3.80837i | −0.170877 | + | 0.124149i | −0.669937 | − | 0.742418i | \(-0.733679\pi\) |
0.499060 | + | 0.866567i | \(0.333679\pi\) | |||||||
\(942\) | −0.328384 | + | 1.01066i | −0.0106993 | + | 0.0329291i | ||||
\(943\) | −61.2759 | −1.99542 | ||||||||
\(944\) | 3.51255 | − | 10.8105i | 0.114324 | − | 0.351852i | ||||
\(945\) | 18.1374 | − | 31.7349i | 0.590010 | − | 1.03234i | ||||
\(946\) | 1.26845 | + | 3.90390i | 0.0412410 | + | 0.126927i | ||||
\(947\) | 9.34239 | + | 28.7529i | 0.303587 | + | 0.934344i | 0.980201 | + | 0.198006i | \(0.0634466\pi\) |
−0.676614 | + | 0.736338i | \(0.736553\pi\) | |||||||
\(948\) | −3.27538 | − | 2.37970i | −0.106379 | − | 0.0772892i | ||||
\(949\) | 87.7088 | 2.84715 | ||||||||
\(950\) | −3.31300 | + | 3.74487i | −0.107488 | + | 0.121500i | ||||
\(951\) | 48.6170 | 1.57651 | ||||||||
\(952\) | 27.4351 | + | 19.9327i | 0.889175 | + | 0.646024i | ||||
\(953\) | −13.1110 | − | 40.3516i | −0.424708 | − | 1.30712i | −0.903273 | − | 0.429065i | \(-0.858843\pi\) |
0.478565 | − | 0.878052i | \(-0.341157\pi\) | |||||||
\(954\) | 2.70300 | + | 8.31897i | 0.0875127 | + | 0.269336i | ||||
\(955\) | −25.4343 | − | 28.0002i | −0.823036 | − | 0.906066i | ||||
\(956\) | −1.90732 | + | 5.87014i | −0.0616872 | + | 0.189854i | ||||
\(957\) | 2.18870 | 0.0707508 | ||||||||
\(958\) | −6.62148 | + | 20.3788i | −0.213930 | + | 0.658409i | ||||
\(959\) | −53.9295 | + | 39.1821i | −1.74147 | + | 1.26526i | ||||
\(960\) | −4.43359 | − | 0.922124i | −0.143094 | − | 0.0297614i | ||||
\(961\) | 24.8634 | + | 18.0643i | 0.802044 | + | 0.582719i | ||||
\(962\) | 32.4666 | − | 23.5884i | 1.04677 | − | 0.760520i | ||||
\(963\) | −2.57791 | + | 1.87296i | −0.0830721 | + | 0.0603554i | ||||
\(964\) | 2.87918 | + | 2.09184i | 0.0927320 | + | 0.0673738i | ||||
\(965\) | −3.38630 | − | 30.9161i | −0.109009 | − | 0.995223i | ||||
\(966\) | −63.3127 | + | 45.9994i | −2.03705 | + | 1.48001i | ||||
\(967\) | 5.60764 | − | 17.2586i | 0.180330 | − | 0.554998i | −0.819507 | − | 0.573069i | \(-0.805753\pi\) |
0.999837 | + | 0.0180715i | \(0.00575264\pi\) | |||||||
\(968\) | 6.80489 | 0.218718 | ||||||||
\(969\) | 4.99189 | − | 15.3634i | 0.160363 | − | 0.493545i | ||||
\(970\) | −37.6806 | − | 7.83703i | −1.20985 | − | 0.251632i | ||||
\(971\) | −8.27421 | − | 25.4654i | −0.265532 | − | 0.817224i | −0.991570 | − | 0.129570i | \(-0.958640\pi\) |
0.726038 | − | 0.687654i | \(-0.241360\pi\) | |||||||
\(972\) | −3.37653 | − | 10.3919i | −0.108302 | − | 0.333320i | ||||
\(973\) | −2.47463 | − | 1.79792i | −0.0793329 | − | 0.0576387i | ||||
\(974\) | −24.4252 | −0.782633 | ||||||||
\(975\) | 58.1141 | + | 25.2668i | 1.86114 | + | 0.809185i | ||||
\(976\) | 6.23000 | 0.199418 | ||||||||
\(977\) | −28.5804 | − | 20.7649i | −0.914369 | − | 0.664328i | 0.0277467 | − | 0.999615i | \(-0.491167\pi\) |
−0.942116 | + | 0.335287i | \(0.891167\pi\) | |||||||
\(978\) | 0.479957 | + | 1.47716i | 0.0153473 | + | 0.0472342i | ||||
\(979\) | 1.72594 | + | 5.31189i | 0.0551612 | + | 0.169769i | ||||
\(980\) | 22.5781 | − | 10.1711i | 0.721230 | − | 0.324902i | ||||
\(981\) | −0.725623 | + | 2.23324i | −0.0231674 | + | 0.0713018i | ||||
\(982\) | −6.02040 | −0.192119 | ||||||||
\(983\) | 18.8353 | − | 57.9690i | 0.600752 | − | 1.84892i | 0.0770404 | − | 0.997028i | \(-0.475453\pi\) |
0.523711 | − | 0.851896i | \(-0.324547\pi\) | |||||||
\(984\) | 11.0454 | − | 8.02493i | 0.352114 | − | 0.255826i | ||||
\(985\) | 12.7361 | − | 5.73741i | 0.405806 | − | 0.182809i | ||||
\(986\) | −3.40504 | − | 2.47390i | −0.108438 | − | 0.0787852i | ||||
\(987\) | 23.5936 | − | 17.1417i | 0.750992 | − | 0.545628i | ||||
\(988\) | −5.06290 | + | 3.67841i | −0.161072 | + | 0.117026i | ||||
\(989\) | 14.7371 | + | 10.7071i | 0.468612 | + | 0.340467i | ||||
\(990\) | −2.50304 | + | 4.37956i | −0.0795519 | + | 0.139192i | ||||
\(991\) | 22.2227 | − | 16.1458i | 0.705928 | − | 0.512887i | −0.175929 | − | 0.984403i | \(-0.556293\pi\) |
0.881857 | + | 0.471516i | \(0.156293\pi\) | |||||||
\(992\) | −0.159734 | + | 0.491612i | −0.00507157 | + | 0.0156087i | ||||
\(993\) | −63.0163 | −1.99976 | ||||||||
\(994\) | 1.53907 | − | 4.73677i | 0.0488163 | − | 0.150241i | ||||
\(995\) | −3.31091 | − | 30.2278i | −0.104963 | − | 0.958284i | ||||
\(996\) | −1.95592 | − | 6.01970i | −0.0619757 | − | 0.190742i | ||||
\(997\) | −3.29139 | − | 10.1299i | −0.104239 | − | 0.320816i | 0.885312 | − | 0.464998i | \(-0.153945\pi\) |
−0.989551 | + | 0.144182i | \(0.953945\pi\) | |||||||
\(998\) | 19.8424 | + | 14.4163i | 0.628100 | + | 0.456341i | ||||
\(999\) | −24.6567 | −0.780104 |
(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 | 950.2.h.e.191.8 | ✓ | 44 | |
25.11 | even | 5 | inner | 950.2.h.e.761.8 | yes | 44 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.h.e.191.8 | ✓ | 44 | 1.1 | even | 1 | trivial | |
950.2.h.e.761.8 | yes | 44 | 25.11 | even | 5 | inner |