Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(11,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 8, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bw (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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(152\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 527.19 | ||
Character | \(\chi\) | \(=\) | 546.527 |
Dual form | 546.2.bw.a.431.19 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) | \(e\left(\frac{11}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.965926 | − | 0.258819i | −0.683013 | − | 0.183013i | ||||
\(3\) | 1.72806 | + | 0.117493i | 0.997697 | + | 0.0678347i | ||||
\(4\) | 0.866025 | + | 0.500000i | 0.433013 | + | 0.250000i | ||||
\(5\) | −1.12449 | − | 4.19664i | −0.502885 | − | 1.87679i | −0.480408 | − | 0.877045i | \(-0.659511\pi\) |
−0.0224773 | − | 0.999747i | \(-0.507155\pi\) | |||||||
\(6\) | −1.63877 | − | 0.560745i | −0.669025 | − | 0.228923i | ||||
\(7\) | −2.63306 | + | 0.258797i | −0.995205 | + | 0.0978162i | ||||
\(8\) | −0.707107 | − | 0.707107i | −0.250000 | − | 0.250000i | ||||
\(9\) | 2.97239 | + | 0.406071i | 0.990797 | + | 0.135357i | ||||
\(10\) | 4.34468i | 1.37391i | ||||||||
\(11\) | 1.35259 | + | 1.35259i | 0.407821 | + | 0.407821i | 0.880978 | − | 0.473157i | \(-0.156886\pi\) |
−0.473157 | + | 0.880978i | \(0.656886\pi\) | |||||||
\(12\) | 1.43780 | + | 0.965783i | 0.415057 | + | 0.278797i | ||||
\(13\) | −0.217387 | − | 3.59899i | −0.0602924 | − | 0.998181i | ||||
\(14\) | 2.61033 | + | 0.431508i | 0.697639 | + | 0.115325i | ||||
\(15\) | −1.45010 | − | 7.38416i | −0.374415 | − | 1.90658i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | −0.351682 | + | 0.609132i | −0.0852955 | + | 0.147736i | −0.905517 | − | 0.424310i | \(-0.860517\pi\) |
0.820222 | + | 0.572046i | \(0.193850\pi\) | |||||||
\(18\) | −2.76601 | − | 1.16155i | −0.651955 | − | 0.273779i | ||||
\(19\) | −2.51491 | − | 2.51491i | −0.576960 | − | 0.576960i | 0.357105 | − | 0.934064i | \(-0.383764\pi\) |
−0.934064 | + | 0.357105i | \(0.883764\pi\) | |||||||
\(20\) | 1.12449 | − | 4.19664i | 0.251443 | − | 0.938396i | ||||
\(21\) | −4.58050 | + | 0.137850i | −0.999547 | + | 0.0300814i | ||||
\(22\) | −0.956425 | − | 1.65658i | −0.203910 | − | 0.353183i | ||||
\(23\) | −0.914210 | − | 1.58346i | −0.190626 | − | 0.330174i | 0.754832 | − | 0.655918i | \(-0.227718\pi\) |
−0.945458 | + | 0.325744i | \(0.894385\pi\) | |||||||
\(24\) | −1.13884 | − | 1.30500i | −0.232465 | − | 0.266383i | ||||
\(25\) | −12.0172 | + | 6.93811i | −2.40343 | + | 1.38762i | ||||
\(26\) | −0.721508 | + | 3.53262i | −0.141499 | + | 0.692804i | ||||
\(27\) | 5.08876 | + | 1.05095i | 0.979333 | + | 0.202256i | ||||
\(28\) | −2.40970 | − | 1.09241i | −0.455390 | − | 0.206445i | ||||
\(29\) | −6.59692 | − | 3.80874i | −1.22502 | − | 0.707265i | −0.259035 | − | 0.965868i | \(-0.583404\pi\) |
−0.965984 | + | 0.258604i | \(0.916738\pi\) | |||||||
\(30\) | −0.510470 | + | 7.50787i | −0.0931987 | + | 1.37074i | ||||
\(31\) | 1.94735 | − | 7.26761i | 0.349754 | − | 1.30530i | −0.537204 | − | 0.843452i | \(-0.680519\pi\) |
0.886959 | − | 0.461849i | \(-0.152814\pi\) | |||||||
\(32\) | −0.258819 | − | 0.965926i | −0.0457532 | − | 0.170753i | ||||
\(33\) | 2.17844 | + | 2.49628i | 0.379217 | + | 0.434546i | ||||
\(34\) | 0.497354 | − | 0.497354i | 0.0852955 | − | 0.0852955i | ||||
\(35\) | 4.04692 | + | 10.7590i | 0.684054 | + | 1.81860i | ||||
\(36\) | 2.37113 | + | 1.83786i | 0.395188 | + | 0.306311i | ||||
\(37\) | 1.43162 | + | 0.383602i | 0.235357 | + | 0.0630638i | 0.374570 | − | 0.927199i | \(-0.377790\pi\) |
−0.139212 | + | 0.990263i | \(0.544457\pi\) | |||||||
\(38\) | 1.77831 | + | 3.08012i | 0.288480 | + | 0.499662i | ||||
\(39\) | 0.0471984 | − | 6.24482i | 0.00755780 | − | 0.999971i | ||||
\(40\) | −2.17234 | + | 3.76260i | −0.343477 | + | 0.594919i | ||||
\(41\) | 0.735223 | + | 2.74389i | 0.114822 | + | 0.428523i | 0.999274 | − | 0.0381096i | \(-0.0121336\pi\) |
−0.884451 | + | 0.466633i | \(0.845467\pi\) | |||||||
\(42\) | 4.46010 | + | 1.05237i | 0.688209 | + | 0.162384i | ||||
\(43\) | 3.30528 | − | 1.90831i | 0.504051 | − | 0.291014i | −0.226334 | − | 0.974050i | \(-0.572674\pi\) |
0.730385 | + | 0.683036i | \(0.239341\pi\) | |||||||
\(44\) | 0.495082 | + | 1.84767i | 0.0746364 | + | 0.278547i | ||||
\(45\) | −1.63828 | − | 12.9307i | −0.244220 | − | 1.92759i | ||||
\(46\) | 0.473230 | + | 1.76612i | 0.0697740 | + | 0.260400i | ||||
\(47\) | 0.438948 | − | 0.117616i | 0.0640271 | − | 0.0171560i | −0.226663 | − | 0.973973i | \(-0.572782\pi\) |
0.290690 | + | 0.956817i | \(0.406115\pi\) | |||||||
\(48\) | 0.762278 | + | 1.55529i | 0.110025 | + | 0.224487i | ||||
\(49\) | 6.86605 | − | 1.36286i | 0.980864 | − | 0.194694i | ||||
\(50\) | 13.4034 | − | 3.59143i | 1.89553 | − | 0.507905i | ||||
\(51\) | −0.679298 | + | 1.01130i | −0.0951207 | + | 0.141610i | ||||
\(52\) | 1.61123 | − | 3.22551i | 0.223438 | − | 0.447298i | ||||
\(53\) | −6.96361 | + | 4.02044i | −0.956526 | + | 0.552250i | −0.895102 | − | 0.445862i | \(-0.852897\pi\) |
−0.0614236 | + | 0.998112i | \(0.519564\pi\) | |||||||
\(54\) | −4.64336 | − | 2.33221i | −0.631881 | − | 0.317374i | ||||
\(55\) | 4.15536 | − | 7.19729i | 0.560308 | − | 0.970482i | ||||
\(56\) | 2.04485 | + | 1.67886i | 0.273255 | + | 0.224347i | ||||
\(57\) | −4.05043 | − | 4.64140i | −0.536493 | − | 0.614769i | ||||
\(58\) | 5.38637 | + | 5.38637i | 0.707265 | + | 0.707265i | ||||
\(59\) | 6.58533 | − | 1.76453i | 0.857336 | − | 0.229723i | 0.196732 | − | 0.980457i | \(-0.436967\pi\) |
0.660604 | + | 0.750735i | \(0.270300\pi\) | |||||||
\(60\) | 2.43626 | − | 7.11992i | 0.314519 | − | 0.919178i | ||||
\(61\) | 10.3019 | 1.31903 | 0.659513 | − | 0.751693i | \(-0.270762\pi\) | ||||
0.659513 | + | 0.751693i | \(0.270762\pi\) | |||||||
\(62\) | −3.76199 | + | 6.51596i | −0.477773 | + | 0.827528i | ||||
\(63\) | −7.93158 | − | 0.299964i | −0.999286 | − | 0.0377919i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −14.8592 | + | 4.95931i | −1.84306 | + | 0.615127i | ||||
\(66\) | −1.45812 | − | 2.97504i | −0.179483 | − | 0.366202i | ||||
\(67\) | 1.89378 | + | 1.89378i | 0.231362 | + | 0.231362i | 0.813261 | − | 0.581899i | \(-0.197690\pi\) |
−0.581899 | + | 0.813261i | \(0.697690\pi\) | |||||||
\(68\) | −0.609132 | + | 0.351682i | −0.0738681 | + | 0.0426478i | ||||
\(69\) | −1.39377 | − | 2.84373i | −0.167790 | − | 0.342344i | ||||
\(70\) | −1.12439 | − | 11.4398i | −0.134390 | − | 1.36732i | ||||
\(71\) | 12.7586 | + | 3.41866i | 1.51417 | + | 0.405720i | 0.917817 | − | 0.397004i | \(-0.129950\pi\) |
0.596351 | + | 0.802724i | \(0.296617\pi\) | |||||||
\(72\) | −1.81466 | − | 2.38893i | −0.213860 | − | 0.281538i | ||||
\(73\) | −13.7090 | − | 3.67331i | −1.60451 | − | 0.429928i | −0.658112 | − | 0.752920i | \(-0.728645\pi\) |
−0.946402 | + | 0.322991i | \(0.895312\pi\) | |||||||
\(74\) | −1.28356 | − | 0.741062i | −0.149211 | − | 0.0861468i | ||||
\(75\) | −21.5816 | + | 10.5775i | −2.49202 | + | 1.22139i | ||||
\(76\) | −0.920521 | − | 3.43543i | −0.105591 | − | 0.394071i | ||||
\(77\) | −3.91150 | − | 3.21141i | −0.445757 | − | 0.365974i | ||||
\(78\) | −1.66187 | + | 6.01982i | −0.188170 | + | 0.681610i | ||||
\(79\) | −0.155398 | + | 0.269158i | −0.0174837 | + | 0.0302826i | −0.874635 | − | 0.484782i | \(-0.838899\pi\) |
0.857151 | + | 0.515065i | \(0.172232\pi\) | |||||||
\(80\) | 3.07215 | − | 3.07215i | 0.343477 | − | 0.343477i | ||||
\(81\) | 8.67021 | + | 2.41400i | 0.963357 | + | 0.268223i | ||||
\(82\) | − | 2.84068i | − | 0.313701i | ||||||
\(83\) | −0.970732 | + | 0.970732i | −0.106552 | + | 0.106552i | −0.758373 | − | 0.651821i | \(-0.774005\pi\) |
0.651821 | + | 0.758373i | \(0.274005\pi\) | |||||||
\(84\) | −4.03576 | − | 2.17087i | −0.440337 | − | 0.236861i | ||||
\(85\) | 2.95177 | + | 0.790923i | 0.320164 | + | 0.0857877i | ||||
\(86\) | −3.68656 | + | 0.987812i | −0.397532 | + | 0.106518i | ||||
\(87\) | −10.9524 | − | 7.35682i | −1.17422 | − | 0.788734i | ||||
\(88\) | − | 1.91285i | − | 0.203910i | ||||||
\(89\) | 3.19161 | − | 11.9113i | 0.338310 | − | 1.26259i | −0.561925 | − | 0.827188i | \(-0.689939\pi\) |
0.900235 | − | 0.435403i | \(-0.143394\pi\) | |||||||
\(90\) | −1.76425 | + | 12.9141i | −0.185968 | + | 1.36126i | ||||
\(91\) | 1.50380 | + | 9.42012i | 0.157641 | + | 0.987496i | ||||
\(92\) | − | 1.82842i | − | 0.190626i | ||||||
\(93\) | 4.21904 | − | 12.3301i | 0.437494 | − | 1.27857i | ||||
\(94\) | −0.454432 | −0.0468711 | ||||||||
\(95\) | −7.72618 | + | 13.3821i | −0.792690 | + | 1.37298i | ||||
\(96\) | −0.333765 | − | 1.69959i | −0.0340648 | − | 0.173464i | ||||
\(97\) | −2.18315 | + | 8.14762i | −0.221665 | + | 0.827266i | 0.762048 | + | 0.647521i | \(0.224194\pi\) |
−0.983713 | + | 0.179745i | \(0.942473\pi\) | |||||||
\(98\) | −6.98483 | − | 0.460643i | −0.705574 | − | 0.0465320i | ||||
\(99\) | 3.47117 | + | 4.56967i | 0.348866 | + | 0.459269i | ||||
\(100\) | −13.8762 | −1.38762 | ||||||||
\(101\) | 16.0093 | 1.59299 | 0.796493 | − | 0.604647i | \(-0.206686\pi\) | ||||
0.796493 | + | 0.604647i | \(0.206686\pi\) | |||||||
\(102\) | 0.917894 | − | 0.801023i | 0.0908850 | − | 0.0793130i | ||||
\(103\) | −0.487403 | − | 0.281403i | −0.0480253 | − | 0.0277274i | 0.475795 | − | 0.879556i | \(-0.342160\pi\) |
−0.523820 | + | 0.851829i | \(0.675494\pi\) | |||||||
\(104\) | −2.39116 | + | 2.69859i | −0.234472 | + | 0.264618i | ||||
\(105\) | 5.72921 | + | 19.0677i | 0.559114 | + | 1.86082i | ||||
\(106\) | 7.76690 | − | 2.08113i | 0.754388 | − | 0.202138i | ||||
\(107\) | 9.00024 | − | 5.19629i | 0.870086 | − | 0.502345i | 0.00270934 | − | 0.999996i | \(-0.499138\pi\) |
0.867377 | + | 0.497652i | \(0.165804\pi\) | |||||||
\(108\) | 3.88152 | + | 3.45453i | 0.373500 | + | 0.332412i | ||||
\(109\) | −2.17796 | + | 8.12825i | −0.208611 | + | 0.778546i | 0.779708 | + | 0.626143i | \(0.215368\pi\) |
−0.988319 | + | 0.152402i | \(0.951299\pi\) | |||||||
\(110\) | −5.87656 | + | 5.87656i | −0.560308 | + | 0.560308i | ||||
\(111\) | 2.42886 | + | 0.831094i | 0.230537 | + | 0.0788839i | ||||
\(112\) | −1.54066 | − | 2.15090i | −0.145578 | − | 0.203241i | ||||
\(113\) | 12.1496 | − | 7.01456i | 1.14294 | − | 0.659874i | 0.195780 | − | 0.980648i | \(-0.437276\pi\) |
0.947156 | + | 0.320774i | \(0.103943\pi\) | |||||||
\(114\) | 2.71113 | + | 5.53158i | 0.253921 | + | 0.518080i | ||||
\(115\) | −5.61718 | + | 5.61718i | −0.523805 | + | 0.523805i | ||||
\(116\) | −3.80874 | − | 6.59692i | −0.353632 | − | 0.612509i | ||||
\(117\) | 0.815286 | − | 10.7859i | 0.0753732 | − | 0.997155i | ||||
\(118\) | −6.81763 | −0.627614 | ||||||||
\(119\) | 0.768361 | − | 1.69490i | 0.0704355 | − | 0.155371i | ||||
\(120\) | −4.19601 | + | 6.24677i | −0.383042 | + | 0.570249i | ||||
\(121\) | − | 7.34101i | − | 0.667364i | ||||||
\(122\) | −9.95090 | − | 2.66633i | −0.900912 | − | 0.241399i | ||||
\(123\) | 0.948121 | + | 4.82799i | 0.0854892 | + | 0.435325i | ||||
\(124\) | 5.32026 | − | 5.32026i | 0.477773 | − | 0.477773i | ||||
\(125\) | 27.2691 | + | 27.2691i | 2.43902 | + | 2.43902i | ||||
\(126\) | 7.58369 | + | 2.34259i | 0.675608 | + | 0.208694i | ||||
\(127\) | 9.30962 | + | 5.37491i | 0.826095 | + | 0.476946i | 0.852514 | − | 0.522705i | \(-0.175077\pi\) |
−0.0264185 | + | 0.999651i | \(0.508410\pi\) | |||||||
\(128\) | 0.258819 | − | 0.965926i | 0.0228766 | − | 0.0853766i | ||||
\(129\) | 5.93594 | − | 2.90932i | 0.522631 | − | 0.256151i | ||||
\(130\) | 15.6365 | − | 0.944478i | 1.37141 | − | 0.0828362i | ||||
\(131\) | 16.3398 | + | 9.43381i | 1.42762 | + | 0.824235i | 0.996932 | − | 0.0782669i | \(-0.0249386\pi\) |
0.430685 | + | 0.902502i | \(0.358272\pi\) | |||||||
\(132\) | 0.638443 | + | 3.25106i | 0.0555693 | + | 0.282968i | ||||
\(133\) | 7.27277 | + | 5.97107i | 0.630629 | + | 0.517757i | ||||
\(134\) | −1.33911 | − | 2.31940i | −0.115681 | − | 0.200366i | ||||
\(135\) | −1.31178 | − | 22.5375i | −0.112900 | − | 1.93972i | ||||
\(136\) | 0.679398 | − | 0.182044i | 0.0582579 | − | 0.0156102i | ||||
\(137\) | −0.822183 | + | 0.220303i | −0.0702438 | + | 0.0188218i | −0.293770 | − | 0.955876i | \(-0.594910\pi\) |
0.223526 | + | 0.974698i | \(0.428243\pi\) | |||||||
\(138\) | 0.610263 | + | 3.10756i | 0.0519491 | + | 0.264533i | ||||
\(139\) | −5.07478 | − | 8.78979i | −0.430438 | − | 0.745540i | 0.566473 | − | 0.824080i | \(-0.308307\pi\) |
−0.996911 | + | 0.0785402i | \(0.974974\pi\) | |||||||
\(140\) | −1.87476 | + | 11.3410i | −0.158446 | + | 0.958491i | ||||
\(141\) | 0.772348 | − | 0.151674i | 0.0650434 | − | 0.0127732i | ||||
\(142\) | −11.4390 | − | 6.60434i | −0.959944 | − | 0.554224i | ||||
\(143\) | 4.57392 | − | 5.16199i | 0.382490 | − | 0.431667i | ||||
\(144\) | 1.13453 | + | 2.77720i | 0.0945440 | + | 0.231433i | ||||
\(145\) | −8.56573 | + | 31.9678i | −0.711346 | + | 2.65478i | ||||
\(146\) | 12.2911 | + | 7.09629i | 1.01722 | + | 0.587293i | ||||
\(147\) | 12.0251 | − | 1.54839i | 0.991812 | − | 0.127709i | ||||
\(148\) | 1.04802 | + | 1.04802i | 0.0861468 | + | 0.0861468i | ||||
\(149\) | −14.7603 | + | 14.7603i | −1.20921 | + | 1.20921i | −0.237931 | + | 0.971282i | \(0.576469\pi\) |
−0.971282 | + | 0.237931i | \(0.923531\pi\) | |||||||
\(150\) | 23.5839 | − | 4.63140i | 1.92561 | − | 0.378152i | ||||
\(151\) | 4.44000 | + | 1.18969i | 0.361322 | + | 0.0968159i | 0.434913 | − | 0.900473i | \(-0.356779\pi\) |
−0.0735909 | + | 0.997289i | \(0.523446\pi\) | |||||||
\(152\) | 3.55662i | 0.288480i | ||||||||
\(153\) | −1.29269 | + | 1.66777i | −0.104508 | + | 0.134831i | ||||
\(154\) | 2.94704 | + | 4.11435i | 0.237480 | + | 0.331544i | ||||
\(155\) | −32.6893 | −2.62567 | ||||||||
\(156\) | 3.16328 | − | 5.38457i | 0.253265 | − | 0.431111i | ||||
\(157\) | 5.46618 | + | 9.46769i | 0.436248 | + | 0.755604i | 0.997397 | − | 0.0721111i | \(-0.0229736\pi\) |
−0.561148 | + | 0.827715i | \(0.689640\pi\) | |||||||
\(158\) | 0.219766 | − | 0.219766i | 0.0174837 | − | 0.0174837i | ||||
\(159\) | −12.5059 | + | 6.12939i | −0.991784 | + | 0.486093i | ||||
\(160\) | −3.76260 | + | 2.17234i | −0.297460 | + | 0.171738i | ||||
\(161\) | 2.81697 | + | 3.93275i | 0.222008 | + | 0.309944i | ||||
\(162\) | −7.74999 | − | 4.57576i | −0.608897 | − | 0.359506i | ||||
\(163\) | 6.59866 | − | 6.59866i | 0.516847 | − | 0.516847i | −0.399769 | − | 0.916616i | \(-0.630910\pi\) |
0.916616 | + | 0.399769i | \(0.130910\pi\) | |||||||
\(164\) | −0.735223 | + | 2.74389i | −0.0574112 | + | 0.214262i | ||||
\(165\) | 8.02634 | − | 11.9491i | 0.624850 | − | 0.930238i | ||||
\(166\) | 1.18890 | − | 0.686411i | 0.0922765 | − | 0.0532759i | ||||
\(167\) | −9.37699 | + | 2.51256i | −0.725614 | + | 0.194428i | −0.602675 | − | 0.797987i | \(-0.705898\pi\) |
−0.122939 | + | 0.992414i | \(0.539232\pi\) | |||||||
\(168\) | 3.33638 | + | 3.14143i | 0.257407 | + | 0.242367i | ||||
\(169\) | −12.9055 | + | 1.56475i | −0.992730 | + | 0.120365i | ||||
\(170\) | −2.64648 | − | 1.52795i | −0.202976 | − | 0.117188i | ||||
\(171\) | −6.45406 | − | 8.49653i | −0.493555 | − | 0.649746i | ||||
\(172\) | 3.81661 | 0.291014 | ||||||||
\(173\) | −5.30084 | −0.403015 | −0.201508 | − | 0.979487i | \(-0.564584\pi\) | ||||
−0.201508 | + | 0.979487i | \(0.564584\pi\) | |||||||
\(174\) | 8.67511 | + | 9.94083i | 0.657658 | + | 0.753613i | ||||
\(175\) | 29.8464 | − | 21.3785i | 2.25617 | − | 1.61606i | ||||
\(176\) | −0.495082 | + | 1.84767i | −0.0373182 | + | 0.139273i | ||||
\(177\) | 11.5872 | − | 2.27549i | 0.870945 | − | 0.171036i | ||||
\(178\) | −6.16573 | + | 10.6793i | −0.462141 | + | 0.800451i | ||||
\(179\) | 12.2235 | 0.913630 | 0.456815 | − | 0.889562i | \(-0.348990\pi\) | ||||
0.456815 | + | 0.889562i | \(0.348990\pi\) | |||||||
\(180\) | 5.04654 | − | 12.0174i | 0.376147 | − | 0.895726i | ||||
\(181\) | 0.772809i | 0.0574424i | 0.999587 | + | 0.0287212i | \(0.00914351\pi\) | ||||
−0.999587 | + | 0.0287212i | \(0.990856\pi\) | |||||||
\(182\) | 0.985542 | − | 9.48835i | 0.0730532 | − | 0.703323i | ||||
\(183\) | 17.8024 | + | 1.21041i | 1.31599 | + | 0.0894758i | ||||
\(184\) | −0.473230 | + | 1.76612i | −0.0348870 | + | 0.130200i | ||||
\(185\) | − | 6.43935i | − | 0.473431i | ||||||
\(186\) | −7.26653 | + | 10.8180i | −0.532808 | + | 0.793212i | ||||
\(187\) | −1.29959 | + | 0.348223i | −0.0950352 | + | 0.0254646i | ||||
\(188\) | 0.438948 | + | 0.117616i | 0.0320136 | + | 0.00857801i | ||||
\(189\) | −13.6710 | − | 1.45026i | −0.994420 | − | 0.105491i | ||||
\(190\) | 10.9265 | − | 10.9265i | 0.792690 | − | 0.792690i | ||||
\(191\) | − | 12.6770i | − | 0.917274i | −0.888624 | − | 0.458637i | \(-0.848338\pi\) | ||
0.888624 | − | 0.458637i | \(-0.151662\pi\) | |||||||
\(192\) | −0.117493 | + | 1.72806i | −0.00847934 | + | 0.124712i | ||||
\(193\) | −1.42433 | + | 1.42433i | −0.102525 | + | 0.102525i | −0.756509 | − | 0.653983i | \(-0.773097\pi\) |
0.653983 | + | 0.756509i | \(0.273097\pi\) | |||||||
\(194\) | 4.21752 | − | 7.30496i | 0.302800 | − | 0.524465i | ||||
\(195\) | −26.2603 | + | 6.82413i | −1.88054 | + | 0.488686i | ||||
\(196\) | 6.62760 | + | 2.25275i | 0.473400 | + | 0.160911i | ||||
\(197\) | −1.77065 | − | 6.60816i | −0.126154 | − | 0.470812i | 0.873725 | − | 0.486421i | \(-0.161698\pi\) |
−0.999878 | + | 0.0156093i | \(0.995031\pi\) | |||||||
\(198\) | −2.17018 | − | 5.31237i | −0.154228 | − | 0.377533i | ||||
\(199\) | −17.7513 | − | 10.2487i | −1.25836 | − | 0.726513i | −0.285602 | − | 0.958348i | \(-0.592194\pi\) |
−0.972755 | + | 0.231835i | \(0.925527\pi\) | |||||||
\(200\) | 13.4034 | + | 3.59143i | 0.947763 | + | 0.253952i | ||||
\(201\) | 3.05007 | + | 3.49508i | 0.215135 | + | 0.246524i | ||||
\(202\) | −15.4638 | − | 4.14352i | −1.08803 | − | 0.291537i | ||||
\(203\) | 18.3558 | + | 8.32138i | 1.28833 | + | 0.584046i | ||||
\(204\) | −1.09394 | + | 0.536160i | −0.0765909 | + | 0.0375387i | ||||
\(205\) | 10.6884 | − | 6.17092i | 0.746507 | − | 0.430996i | ||||
\(206\) | 0.397963 | + | 0.397963i | 0.0277274 | + | 0.0277274i | ||||
\(207\) | −2.07439 | − | 5.07789i | −0.144180 | − | 0.352938i | ||||
\(208\) | 3.00812 | − | 1.98776i | 0.208576 | − | 0.137826i | ||||
\(209\) | − | 6.80328i | − | 0.470593i | ||||||
\(210\) | −0.598915 | − | 19.9008i | −0.0413291 | − | 1.37329i | ||||
\(211\) | −6.47471 | + | 11.2145i | −0.445737 | + | 0.772040i | −0.998103 | − | 0.0615620i | \(-0.980392\pi\) |
0.552366 | + | 0.833602i | \(0.313725\pi\) | |||||||
\(212\) | −8.04089 | −0.552250 | ||||||||
\(213\) | 21.6460 | + | 7.40670i | 1.48316 | + | 0.507499i | ||||
\(214\) | −10.0385 | + | 2.68980i | −0.686215 | + | 0.183871i | ||||
\(215\) | −11.7252 | − | 11.7252i | −0.799652 | − | 0.799652i | ||||
\(216\) | −2.85516 | − | 4.34143i | −0.194269 | − | 0.295397i | ||||
\(217\) | −3.24666 | + | 19.6401i | −0.220398 | + | 1.33325i | ||||
\(218\) | 4.20749 | − | 7.28759i | 0.284967 | − | 0.493578i | ||||
\(219\) | −23.2584 | − | 7.95841i | −1.57165 | − | 0.537780i | ||||
\(220\) | 7.19729 | − | 4.15536i | 0.485241 | − | 0.280154i | ||||
\(221\) | 2.26871 | + | 1.13328i | 0.152610 | + | 0.0762330i | ||||
\(222\) | −2.13100 | − | 1.43141i | −0.143023 | − | 0.0960700i | ||||
\(223\) | −11.0922 | + | 2.97214i | −0.742788 | + | 0.199029i | −0.610317 | − | 0.792157i | \(-0.708958\pi\) |
−0.132471 | + | 0.991187i | \(0.542291\pi\) | |||||||
\(224\) | 0.931466 | + | 2.47636i | 0.0622362 | + | 0.165459i | ||||
\(225\) | −38.5371 | + | 15.7430i | −2.56914 | + | 1.04953i | ||||
\(226\) | −13.5511 | + | 3.63100i | −0.901405 | + | 0.241531i | ||||
\(227\) | 1.90921 | + | 7.12528i | 0.126719 | + | 0.472922i | 0.999895 | − | 0.0144831i | \(-0.00461028\pi\) |
−0.873176 | + | 0.487405i | \(0.837944\pi\) | |||||||
\(228\) | −1.18708 | − | 6.04479i | −0.0786161 | − | 0.400326i | ||||
\(229\) | 3.77001 | + | 14.0699i | 0.249129 | + | 0.929762i | 0.971263 | + | 0.238009i | \(0.0764948\pi\) |
−0.722134 | + | 0.691753i | \(0.756839\pi\) | |||||||
\(230\) | 6.87962 | − | 3.97195i | 0.453628 | − | 0.261903i | ||||
\(231\) | −6.38199 | − | 6.00908i | −0.419904 | − | 0.395368i | ||||
\(232\) | 1.97155 | + | 7.35791i | 0.129438 | + | 0.483071i | ||||
\(233\) | −11.3337 | + | 19.6305i | −0.742493 | + | 1.28603i | 0.208865 | + | 0.977945i | \(0.433023\pi\) |
−0.951357 | + | 0.308090i | \(0.900310\pi\) | |||||||
\(234\) | −3.57910 | + | 10.2074i | −0.233973 | + | 0.667276i | ||||
\(235\) | −0.987180 | − | 1.70985i | −0.0643965 | − | 0.111538i | ||||
\(236\) | 6.58533 | + | 1.76453i | 0.428668 | + | 0.114861i | ||||
\(237\) | −0.300162 | + | 0.446863i | −0.0194976 | + | 0.0290269i | ||||
\(238\) | −1.18085 | + | 1.43828i | −0.0765432 | + | 0.0932298i | ||||
\(239\) | −3.33310 | + | 3.33310i | −0.215600 | + | 0.215600i | −0.806641 | − | 0.591041i | \(-0.798717\pi\) |
0.591041 | + | 0.806641i | \(0.298717\pi\) | |||||||
\(240\) | 5.66982 | − | 4.94791i | 0.365985 | − | 0.319386i | ||||
\(241\) | −2.72052 | − | 10.1531i | −0.175244 | − | 0.654019i | −0.996510 | − | 0.0834739i | \(-0.973398\pi\) |
0.821266 | − | 0.570546i | \(-0.193268\pi\) | |||||||
\(242\) | −1.89999 | + | 7.09087i | −0.122136 | + | 0.455818i | ||||
\(243\) | 14.6990 | + | 5.19024i | 0.942943 | + | 0.332954i | ||||
\(244\) | 8.92173 | + | 5.15096i | 0.571155 | + | 0.329757i | ||||
\(245\) | −13.4402 | − | 27.2818i | −0.858662 | − | 1.74297i | ||||
\(246\) | 0.333761 | − | 4.90887i | 0.0212798 | − | 0.312978i | ||||
\(247\) | −8.50443 | + | 9.59785i | −0.541124 | + | 0.610697i | ||||
\(248\) | −6.51596 | + | 3.76199i | −0.413764 | + | 0.238887i | ||||
\(249\) | −1.79154 | + | 1.56343i | −0.113534 | + | 0.0990784i | ||||
\(250\) | −19.2822 | − | 33.3977i | −1.21951 | − | 2.11225i | ||||
\(251\) | 4.52381 | + | 7.83547i | 0.285540 | + | 0.494570i | 0.972740 | − | 0.231898i | \(-0.0744936\pi\) |
−0.687200 | + | 0.726468i | \(0.741160\pi\) | |||||||
\(252\) | −6.71897 | − | 4.22557i | −0.423255 | − | 0.266186i | ||||
\(253\) | 0.905218 | − | 3.37832i | 0.0569105 | − | 0.212393i | ||||
\(254\) | −7.60127 | − | 7.60127i | −0.476946 | − | 0.476946i | ||||
\(255\) | 5.00790 | + | 1.71358i | 0.313607 | + | 0.107308i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −6.86346 | − | 11.8879i | −0.428131 | − | 0.741544i | 0.568576 | − | 0.822630i | \(-0.307494\pi\) |
−0.996707 | + | 0.0810865i | \(0.974161\pi\) | |||||||
\(258\) | −6.48667 | + | 1.27385i | −0.403842 | + | 0.0793066i | ||||
\(259\) | −3.86883 | − | 0.639549i | −0.240397 | − | 0.0397396i | ||||
\(260\) | −15.3481 | − | 3.13472i | −0.951849 | − | 0.194407i | ||||
\(261\) | −18.0620 | − | 13.9999i | −1.11801 | − | 0.866570i | ||||
\(262\) | −13.3414 | − | 13.3414i | −0.824235 | − | 0.824235i | ||||
\(263\) | − | 22.3462i | − | 1.37793i | −0.724796 | − | 0.688963i | \(-0.758066\pi\) | ||
0.724796 | − | 0.688963i | \(-0.241934\pi\) | |||||||
\(264\) | 0.224747 | − | 3.30552i | 0.0138322 | − | 0.203441i | ||||
\(265\) | 24.7028 | + | 24.7028i | 1.51748 | + | 1.51748i | ||||
\(266\) | −5.47953 | − | 7.64994i | −0.335972 | − | 0.469048i | ||||
\(267\) | 6.91480 | − | 20.2084i | 0.423179 | − | 1.23673i | ||||
\(268\) | 0.693173 | + | 2.58696i | 0.0423423 | + | 0.158023i | ||||
\(269\) | 23.1251 | + | 13.3513i | 1.40996 | + | 0.814041i | 0.995384 | − | 0.0959735i | \(-0.0305964\pi\) |
0.414576 | + | 0.910014i | \(0.363930\pi\) | |||||||
\(270\) | −4.56604 | + | 22.1090i | −0.277881 | + | 1.34551i | ||||
\(271\) | 21.5953 | + | 5.78645i | 1.31182 | + | 0.351502i | 0.845909 | − | 0.533328i | \(-0.179059\pi\) |
0.465914 | + | 0.884830i | \(0.345725\pi\) | |||||||
\(272\) | −0.703365 | −0.0426478 | ||||||||
\(273\) | 1.49187 | + | 16.4552i | 0.0902918 | + | 0.995915i | ||||
\(274\) | 0.851187 | 0.0514221 | ||||||||
\(275\) | −25.6387 | − | 6.86986i | −1.54607 | − | 0.414268i | ||||
\(276\) | 0.214827 | − | 3.15962i | 0.0129311 | − | 0.190187i | ||||
\(277\) | −18.1674 | − | 10.4889i | −1.09157 | − | 0.630219i | −0.157577 | − | 0.987507i | \(-0.550368\pi\) |
−0.933995 | + | 0.357287i | \(0.883702\pi\) | |||||||
\(278\) | 2.62690 | + | 9.80373i | 0.157551 | + | 0.587989i | ||||
\(279\) | 8.73945 | − | 20.8114i | 0.523217 | − | 1.24595i | ||||
\(280\) | 4.74616 | − | 10.4694i | 0.283637 | − | 0.625664i | ||||
\(281\) | −7.69733 | − | 7.69733i | −0.459184 | − | 0.459184i | 0.439203 | − | 0.898388i | \(-0.355261\pi\) |
−0.898388 | + | 0.439203i | \(0.855261\pi\) | |||||||
\(282\) | −0.785286 | − | 0.0533927i | −0.0467631 | − | 0.00317949i | ||||
\(283\) | − | 13.9199i | − | 0.827453i | −0.910401 | − | 0.413726i | \(-0.864227\pi\) | ||
0.910401 | − | 0.413726i | \(-0.135773\pi\) | |||||||
\(284\) | 9.33994 | + | 9.33994i | 0.554224 | + | 0.554224i | ||||
\(285\) | −14.9236 | + | 22.2174i | −0.883999 | + | 1.31604i | ||||
\(286\) | −5.75409 | + | 3.80228i | −0.340246 | + | 0.224834i | ||||
\(287\) | −2.64600 | − | 7.03456i | −0.156188 | − | 0.415237i | ||||
\(288\) | −0.377077 | − | 2.97621i | −0.0222195 | − | 0.175375i | ||||
\(289\) | 8.25264 | + | 14.2940i | 0.485449 | + | 0.840823i | ||||
\(290\) | 16.5477 | − | 28.6615i | 0.971716 | − | 1.68306i | ||||
\(291\) | −4.72991 | + | 13.8231i | −0.277272 | + | 0.810324i | ||||
\(292\) | −10.0357 | − | 10.0357i | −0.587293 | − | 0.587293i | ||||
\(293\) | 3.30757 | − | 12.3440i | 0.193230 | − | 0.721145i | −0.799488 | − | 0.600682i | \(-0.794896\pi\) |
0.992718 | − | 0.120462i | \(-0.0384377\pi\) | |||||||
\(294\) | −12.0161 | − | 1.61669i | −0.700792 | − | 0.0942872i | ||||
\(295\) | −14.8102 | − | 25.6520i | −0.862283 | − | 1.49352i | ||||
\(296\) | −0.741062 | − | 1.28356i | −0.0430734 | − | 0.0746053i | ||||
\(297\) | 5.46150 | + | 8.30451i | 0.316908 | + | 0.481876i | ||||
\(298\) | 18.0776 | − | 10.4371i | 1.04721 | − | 0.604606i | ||||
\(299\) | −5.50012 | + | 3.63446i | −0.318080 | + | 0.210186i | ||||
\(300\) | −23.9790 | − | 1.63036i | −1.38443 | − | 0.0941290i | ||||
\(301\) | −8.20915 | + | 5.88009i | −0.473168 | + | 0.338923i | ||||
\(302\) | −3.98079 | − | 2.29831i | −0.229069 | − | 0.132253i | ||||
\(303\) | 27.6651 | + | 1.88099i | 1.58932 | + | 0.108060i | ||||
\(304\) | 0.920521 | − | 3.43543i | 0.0527955 | − | 0.197035i | ||||
\(305\) | −11.5844 | − | 43.2334i | −0.663319 | − | 2.47554i | ||||
\(306\) | 1.68029 | − | 1.27637i | 0.0960559 | − | 0.0729652i | ||||
\(307\) | 14.4885 | − | 14.4885i | 0.826902 | − | 0.826902i | −0.160185 | − | 0.987087i | \(-0.551209\pi\) |
0.987087 | + | 0.160185i | \(0.0512092\pi\) | |||||||
\(308\) | −1.78175 | − | 4.73691i | −0.101525 | − | 0.269910i | ||||
\(309\) | −0.809200 | − | 0.543547i | −0.0460338 | − | 0.0309213i | ||||
\(310\) | 31.5754 | + | 8.46061i | 1.79336 | + | 0.480530i | ||||
\(311\) | −13.5468 | − | 23.4638i | −0.768170 | − | 1.33051i | −0.938554 | − | 0.345132i | \(-0.887834\pi\) |
0.170384 | − | 0.985378i | \(-0.445499\pi\) | |||||||
\(312\) | −4.44913 | + | 4.38238i | −0.251882 | + | 0.248103i | ||||
\(313\) | 0.0972614 | − | 0.168462i | 0.00549754 | − | 0.00952202i | −0.863264 | − | 0.504753i | \(-0.831583\pi\) |
0.868761 | + | 0.495231i | \(0.164917\pi\) | |||||||
\(314\) | −2.82950 | − | 10.5598i | −0.159678 | − | 0.595926i | ||||
\(315\) | 7.66011 | + | 33.6233i | 0.431598 | + | 1.89446i | ||||
\(316\) | −0.269158 | + | 0.155398i | −0.0151413 | + | 0.00874184i | ||||
\(317\) | −2.25773 | − | 8.42596i | −0.126807 | − | 0.473249i | 0.873091 | − | 0.487557i | \(-0.162112\pi\) |
−0.999898 | + | 0.0143085i | \(0.995445\pi\) | |||||||
\(318\) | 13.6662 | − | 2.68377i | 0.766362 | − | 0.150498i | ||||
\(319\) | −3.77127 | − | 14.0746i | −0.211151 | − | 0.788025i | ||||
\(320\) | 4.19664 | − | 1.12449i | 0.234599 | − | 0.0628606i | ||||
\(321\) | 16.1635 | − | 7.92204i | 0.902158 | − | 0.442165i | ||||
\(322\) | −1.70311 | − | 4.52783i | −0.0949107 | − | 0.252326i | ||||
\(323\) | 2.41636 | − | 0.647462i | 0.134450 | − | 0.0360258i | ||||
\(324\) | 6.30162 | + | 6.42569i | 0.350090 | + | 0.356983i | ||||
\(325\) | 27.5826 | + | 41.7414i | 1.53001 | + | 2.31540i | ||||
\(326\) | −8.08167 | + | 4.66596i | −0.447602 | + | 0.258423i | ||||
\(327\) | −4.71866 | + | 13.7902i | −0.260943 | + | 0.762601i | ||||
\(328\) | 1.42034 | − | 2.46010i | 0.0784252 | − | 0.135836i | ||||
\(329\) | −1.12534 | + | 0.423288i | −0.0620419 | + | 0.0233366i | ||||
\(330\) | −10.8455 | + | 9.46460i | −0.597026 | + | 0.521009i | ||||
\(331\) | 20.3694 | + | 20.3694i | 1.11961 | + | 1.11961i | 0.991799 | + | 0.127807i | \(0.0407937\pi\) |
0.127807 | + | 0.991799i | \(0.459206\pi\) | |||||||
\(332\) | −1.32604 | + | 0.355313i | −0.0727762 | + | 0.0195003i | ||||
\(333\) | 4.09957 | + | 1.72156i | 0.224655 | + | 0.0943407i | ||||
\(334\) | 9.70778 | 0.531186 | ||||||||
\(335\) | 5.81799 | − | 10.0770i | 0.317871 | − | 0.550568i | ||||
\(336\) | −2.40963 | − | 3.89791i | −0.131456 | − | 0.212648i | ||||
\(337\) | − | 1.00336i | − | 0.0546566i | −0.999627 | − | 0.0273283i | \(-0.991300\pi\) | ||
0.999627 | − | 0.0273283i | \(-0.00869995\pi\) | |||||||
\(338\) | 12.8707 | + | 1.82875i | 0.700075 | + | 0.0994710i | ||||
\(339\) | 21.8194 | − | 10.6941i | 1.18507 | − | 0.580823i | ||||
\(340\) | 2.16084 | + | 2.16084i | 0.117188 | + | 0.117188i | ||||
\(341\) | 12.4641 | − | 7.19612i | 0.674966 | − | 0.389692i | ||||
\(342\) | 4.03508 | + | 9.87745i | 0.218192 | + | 0.534111i | ||||
\(343\) | −17.7260 | + | 5.36541i | −0.957116 | + | 0.289705i | ||||
\(344\) | −3.68656 | − | 0.987812i | −0.198766 | − | 0.0532592i | ||||
\(345\) | −10.3668 | + | 9.04686i | −0.558131 | + | 0.487066i | ||||
\(346\) | 5.12022 | + | 1.37196i | 0.275265 | + | 0.0737569i | ||||
\(347\) | −20.9701 | − | 12.1071i | −1.12574 | − | 0.649944i | −0.182877 | − | 0.983136i | \(-0.558541\pi\) |
−0.942859 | + | 0.333192i | \(0.891874\pi\) | |||||||
\(348\) | −5.80663 | − | 11.8474i | −0.311268 | − | 0.635087i | ||||
\(349\) | −1.03946 | − | 3.87933i | −0.0556411 | − | 0.207656i | 0.932509 | − | 0.361147i | \(-0.117615\pi\) |
−0.988150 | + | 0.153492i | \(0.950948\pi\) | |||||||
\(350\) | −34.3625 | + | 12.9252i | −1.83676 | + | 0.690882i | ||||
\(351\) | 2.67613 | − | 18.5429i | 0.142841 | − | 0.989746i | ||||
\(352\) | 0.956425 | − | 1.65658i | 0.0509776 | − | 0.0882958i | ||||
\(353\) | 9.93251 | − | 9.93251i | 0.528654 | − | 0.528654i | −0.391517 | − | 0.920171i | \(-0.628050\pi\) |
0.920171 | + | 0.391517i | \(0.128050\pi\) | |||||||
\(354\) | −11.7813 | − | 0.801025i | −0.626168 | − | 0.0425740i | ||||
\(355\) | − | 57.3874i | − | 3.04581i | ||||||
\(356\) | 8.71965 | − | 8.71965i | 0.462141 | − | 0.462141i | ||||
\(357\) | 1.52691 | − | 2.83861i | 0.0808128 | − | 0.150235i | ||||
\(358\) | −11.8070 | − | 3.16368i | −0.624021 | − | 0.167206i | ||||
\(359\) | −14.7324 | + | 3.94752i | −0.777544 | + | 0.208342i | −0.625702 | − | 0.780062i | \(-0.715187\pi\) |
−0.151843 | + | 0.988405i | \(0.548521\pi\) | |||||||
\(360\) | −7.98492 | + | 10.3018i | −0.420842 | + | 0.542952i | ||||
\(361\) | − | 6.35046i | − | 0.334234i | ||||||
\(362\) | 0.200018 | − | 0.746476i | 0.0105127 | − | 0.0392339i | ||||
\(363\) | 0.862519 | − | 12.6857i | 0.0452705 | − | 0.665827i | ||||
\(364\) | −3.40773 | + | 8.90996i | −0.178613 | + | 0.467009i | ||||
\(365\) | 61.6622i | 3.22755i | ||||||||
\(366\) | −16.8825 | − | 5.77675i | −0.882461 | − | 0.301956i | ||||
\(367\) | 19.0750 | 0.995707 | 0.497853 | − | 0.867261i | \(-0.334122\pi\) | ||||
0.497853 | + | 0.867261i | \(0.334122\pi\) | |||||||
\(368\) | 0.914210 | − | 1.58346i | 0.0476565 | − | 0.0825435i | ||||
\(369\) | 1.07116 | + | 8.45446i | 0.0557621 | + | 0.440122i | ||||
\(370\) | −1.66663 | + | 6.21994i | −0.0866438 | + | 0.323359i | ||||
\(371\) | 17.2952 | − | 12.3882i | 0.897920 | − | 0.643166i | ||||
\(372\) | 9.81883 | − | 8.56864i | 0.509083 | − | 0.444263i | ||||
\(373\) | −20.6207 | −1.06770 | −0.533851 | − | 0.845579i | \(-0.679256\pi\) | ||||
−0.533851 | + | 0.845579i | \(0.679256\pi\) | |||||||
\(374\) | 1.34543 | 0.0695706 | ||||||||
\(375\) | 43.9187 | + | 50.3266i | 2.26795 | + | 2.59885i | ||||
\(376\) | −0.393550 | − | 0.227216i | −0.0202958 | − | 0.0117178i | ||||
\(377\) | −12.2735 | + | 24.5702i | −0.632119 | + | 1.26543i | ||||
\(378\) | 12.8298 | + | 4.93917i | 0.659895 | + | 0.254043i | ||||
\(379\) | 28.8905 | − | 7.74120i | 1.48401 | − | 0.397639i | 0.576299 | − | 0.817239i | \(-0.304496\pi\) |
0.907709 | + | 0.419600i | \(0.137830\pi\) | |||||||
\(380\) | −13.3821 | + | 7.72618i | −0.686489 | + | 0.396345i | ||||
\(381\) | 15.4561 | + | 10.3820i | 0.791839 | + | 0.531886i | ||||
\(382\) | −3.28104 | + | 12.2450i | −0.167873 | + | 0.626510i | ||||
\(383\) | −19.2054 | + | 19.2054i | −0.981351 | + | 0.981351i | −0.999829 | − | 0.0184784i | \(-0.994118\pi\) |
0.0184784 | + | 0.999829i | \(0.494118\pi\) | |||||||
\(384\) | 0.560745 | − | 1.63877i | 0.0286154 | − | 0.0836281i | ||||
\(385\) | −9.07868 | + | 20.0263i | −0.462692 | + | 1.02064i | ||||
\(386\) | 1.74444 | − | 1.00715i | 0.0887895 | − | 0.0512627i | ||||
\(387\) | 10.5995 | − | 4.33005i | 0.538803 | − | 0.220109i | ||||
\(388\) | −5.96447 | + | 5.96447i | −0.302800 | + | 0.302800i | ||||
\(389\) | −3.66874 | − | 6.35444i | −0.186012 | − | 0.322183i | 0.757905 | − | 0.652365i | \(-0.226223\pi\) |
−0.943917 | + | 0.330182i | \(0.892890\pi\) | |||||||
\(390\) | 27.1317 | + | 0.205062i | 1.37387 | + | 0.0103837i | ||||
\(391\) | 1.28605 | 0.0650382 | ||||||||
\(392\) | −5.81872 | − | 3.89134i | −0.293890 | − | 0.196542i | ||||
\(393\) | 27.1278 | + | 18.2220i | 1.36842 | + | 0.919179i | ||||
\(394\) | 6.84127i | 0.344658i | ||||||||
\(395\) | 1.30430 | + | 0.349486i | 0.0656264 | + | 0.0175846i | ||||
\(396\) | 0.721291 | + | 5.69304i | 0.0362462 | + | 0.286086i | ||||
\(397\) | −3.98862 | + | 3.98862i | −0.200183 | + | 0.200183i | −0.800078 | − | 0.599895i | \(-0.795209\pi\) |
0.599895 | + | 0.800078i | \(0.295209\pi\) | |||||||
\(398\) | 14.4939 | + | 14.4939i | 0.726513 | + | 0.726513i | ||||
\(399\) | 11.8662 | + | 11.1729i | 0.594055 | + | 0.559343i | ||||
\(400\) | −12.0172 | − | 6.93811i | −0.600858 | − | 0.346905i | ||||
\(401\) | −3.99356 | + | 14.9042i | −0.199429 | + | 0.744278i | 0.791647 | + | 0.610979i | \(0.209224\pi\) |
−0.991076 | + | 0.133300i | \(0.957443\pi\) | |||||||
\(402\) | −2.04154 | − | 4.16540i | −0.101823 | − | 0.207751i | ||||
\(403\) | −26.5794 | − | 5.42861i | −1.32401 | − | 0.270418i | ||||
\(404\) | 13.8645 | + | 8.00466i | 0.689783 | + | 0.398247i | ||||
\(405\) | 0.381166 | − | 39.1002i | 0.0189403 | − | 1.94291i | ||||
\(406\) | −15.5766 | − | 12.7887i | −0.773055 | − | 0.634691i | ||||
\(407\) | 1.41754 | + | 2.45525i | 0.0702649 | + | 0.121702i | ||||
\(408\) | 1.19543 | − | 0.234759i | 0.0591826 | − | 0.0116223i | ||||
\(409\) | −0.0271377 | + | 0.00727153i | −0.00134187 | + | 0.000359554i | −0.259490 | − | 0.965746i | \(-0.583554\pi\) |
0.258148 | + | 0.966105i | \(0.416888\pi\) | |||||||
\(410\) | −11.9213 | + | 3.19430i | −0.588751 | + | 0.157755i | ||||
\(411\) | −1.44667 | + | 0.284097i | −0.0713588 | + | 0.0140135i | ||||
\(412\) | −0.281403 | − | 0.487403i | −0.0138637 | − | 0.0240126i | ||||
\(413\) | −16.8829 | + | 6.35039i | −0.830754 | + | 0.312482i | ||||
\(414\) | 0.689455 | + | 5.44176i | 0.0338849 | + | 0.267448i | ||||
\(415\) | 5.16538 | + | 2.98224i | 0.253559 | + | 0.146392i | ||||
\(416\) | −3.42010 | + | 1.14147i | −0.167684 | + | 0.0559651i | ||||
\(417\) | −7.73680 | − | 15.7855i | −0.378873 | − | 0.773021i | ||||
\(418\) | −1.76082 | + | 6.57146i | −0.0861244 | + | 0.321421i | ||||
\(419\) | −9.40071 | − | 5.42750i | −0.459255 | − | 0.265151i | 0.252476 | − | 0.967603i | \(-0.418755\pi\) |
−0.711731 | + | 0.702452i | \(0.752088\pi\) | |||||||
\(420\) | −4.57220 | + | 19.3777i | −0.223100 | + | 0.945535i | ||||
\(421\) | 15.2184 | + | 15.2184i | 0.741700 | + | 0.741700i | 0.972905 | − | 0.231205i | \(-0.0742668\pi\) |
−0.231205 | + | 0.972905i | \(0.574267\pi\) | |||||||
\(422\) | 9.15662 | − | 9.15662i | 0.445737 | − | 0.445737i | ||||
\(423\) | 1.35248 | − | 0.171356i | 0.0657600 | − | 0.00833161i | ||||
\(424\) | 7.76690 | + | 2.08113i | 0.377194 | + | 0.101069i | ||||
\(425\) | − | 9.76005i | − | 0.473432i | ||||||
\(426\) | −18.9914 | − | 12.7567i | −0.920137 | − | 0.618065i | ||||
\(427\) | −27.1256 | + | 2.66611i | −1.31270 | + | 0.129022i | ||||
\(428\) | 10.3926 | 0.502345 | ||||||||
\(429\) | 8.51051 | − | 8.38283i | 0.410891 | − | 0.404727i | ||||
\(430\) | 8.29097 | + | 14.3604i | 0.399826 | + | 0.692519i | ||||
\(431\) | −17.0428 | + | 17.0428i | −0.820924 | + | 0.820924i | −0.986241 | − | 0.165316i | \(-0.947136\pi\) |
0.165316 | + | 0.986241i | \(0.447136\pi\) | |||||||
\(432\) | 1.63423 | + | 4.93247i | 0.0786270 | + | 0.237314i | ||||
\(433\) | −2.73877 | + | 1.58123i | −0.131617 | + | 0.0759891i | −0.564363 | − | 0.825527i | \(-0.690878\pi\) |
0.432746 | + | 0.901516i | \(0.357545\pi\) | |||||||
\(434\) | 8.21925 | − | 18.1305i | 0.394537 | − | 0.870294i | ||||
\(435\) | −18.5581 | + | 54.2358i | −0.889793 | + | 2.60041i | ||||
\(436\) | −5.95029 | + | 5.95029i | −0.284967 | + | 0.284967i | ||||
\(437\) | −1.68310 | + | 6.28141i | −0.0805136 | + | 0.300481i | ||||
\(438\) | 20.4061 | + | 13.7069i | 0.975039 | + | 0.654943i | ||||
\(439\) | −14.7347 | + | 8.50708i | −0.703249 | + | 0.406021i | −0.808556 | − | 0.588419i | \(-0.799751\pi\) |
0.105307 | + | 0.994440i | \(0.466417\pi\) | |||||||
\(440\) | −8.02753 | + | 2.15097i | −0.382698 | + | 0.102543i | ||||
\(441\) | 20.9620 | − | 1.26285i | 0.998190 | − | 0.0601356i | ||||
\(442\) | −1.89809 | − | 1.68185i | −0.0902830 | − | 0.0799977i | ||||
\(443\) | −4.31236 | − | 2.48974i | −0.204886 | − | 0.118291i | 0.394046 | − | 0.919091i | \(-0.371075\pi\) |
−0.598933 | + | 0.800799i | \(0.704408\pi\) | |||||||
\(444\) | 1.68791 | + | 1.93418i | 0.0801046 | + | 0.0917921i | ||||
\(445\) | −53.5762 | −2.53975 | ||||||||
\(446\) | 11.4835 | 0.543759 | ||||||||
\(447\) | −27.2410 | + | 23.7725i | −1.28845 | + | 1.12440i | ||||
\(448\) | −0.258797 | − | 2.63306i | −0.0122270 | − | 0.124401i | ||||
\(449\) | 8.91938 | − | 33.2876i | 0.420932 | − | 1.57094i | −0.351718 | − | 0.936106i | \(-0.614402\pi\) |
0.772650 | − | 0.634832i | \(-0.218931\pi\) | |||||||
\(450\) | 41.2985 | − | 5.23240i | 1.94683 | − | 0.246658i | ||||
\(451\) | −2.71690 | + | 4.70580i | −0.127934 | + | 0.221588i | ||||
\(452\) | 14.0291 | 0.659874 | ||||||||
\(453\) | 7.53280 | + | 2.57753i | 0.353922 | + | 0.121103i | ||||
\(454\) | − | 7.37664i | − | 0.346203i | ||||||
\(455\) | 37.8418 | − | 16.9037i | 1.77405 | − | 0.792458i | ||||
\(456\) | −0.417879 | + | 6.14606i | −0.0195690 | + | 0.287815i | ||||
\(457\) | −0.510419 | + | 1.90491i | −0.0238764 | + | 0.0891079i | −0.976836 | − | 0.213990i | \(-0.931354\pi\) |
0.952960 | + | 0.303098i | \(0.0980208\pi\) | |||||||
\(458\) | − | 14.5662i | − | 0.680633i | ||||||
\(459\) | −2.42980 | + | 2.73013i | −0.113413 | + | 0.127431i | ||||
\(460\) | −7.67322 | + | 2.05603i | −0.357766 | + | 0.0958630i | ||||
\(461\) | −13.1727 | − | 3.52962i | −0.613515 | − | 0.164391i | −0.0613369 | − | 0.998117i | \(-0.519536\pi\) |
−0.552178 | + | 0.833726i | \(0.686203\pi\) | |||||||
\(462\) | 4.60926 | + | 7.45611i | 0.214442 | + | 0.346889i | ||||
\(463\) | 5.51839 | − | 5.51839i | 0.256461 | − | 0.256461i | −0.567152 | − | 0.823613i | \(-0.691955\pi\) |
0.823613 | + | 0.567152i | \(0.191955\pi\) | |||||||
\(464\) | − | 7.61747i | − | 0.353632i | ||||||
\(465\) | −56.4891 | − | 3.84077i | −2.61962 | − | 0.178111i | ||||
\(466\) | 16.0282 | − | 16.0282i | 0.742493 | − | 0.742493i | ||||
\(467\) | 7.36371 | − | 12.7543i | 0.340752 | − | 0.590200i | −0.643821 | − | 0.765177i | \(-0.722652\pi\) |
0.984573 | + | 0.174977i | \(0.0559850\pi\) | |||||||
\(468\) | 6.09900 | − | 8.93321i | 0.281926 | − | 0.412938i | ||||
\(469\) | −5.47656 | − | 4.49635i | −0.252884 | − | 0.207622i | ||||
\(470\) | 0.511002 | + | 1.90709i | 0.0235708 | + | 0.0879673i | ||||
\(471\) | 8.33350 | + | 17.0030i | 0.383987 | + | 0.783457i | ||||
\(472\) | −5.90424 | − | 3.40882i | −0.271765 | − | 0.156903i | ||||
\(473\) | 7.05184 | + | 1.88953i | 0.324244 | + | 0.0868809i | ||||
\(474\) | 0.405591 | − | 0.353949i | 0.0186294 | − | 0.0162574i | ||||
\(475\) | 47.6708 | + | 12.7734i | 2.18729 | + | 0.586082i | ||||
\(476\) | 1.51287 | − | 1.08364i | 0.0693422 | − | 0.0496687i | ||||
\(477\) | −22.3312 | + | 9.12261i | −1.02247 | + | 0.417695i | ||||
\(478\) | 4.08220 | − | 2.35686i | 0.186715 | − | 0.107800i | ||||
\(479\) | 12.1470 | + | 12.1470i | 0.555009 | + | 0.555009i | 0.927882 | − | 0.372874i | \(-0.121627\pi\) |
−0.372874 | + | 0.927882i | \(0.621627\pi\) | |||||||
\(480\) | −6.75724 | + | 3.31185i | −0.308424 | + | 0.151165i | ||||
\(481\) | 1.06936 | − | 5.23579i | 0.0487588 | − | 0.238731i | ||||
\(482\) | 10.5113i | 0.478775i | ||||||||
\(483\) | 4.40582 | + | 7.12701i | 0.200472 | + | 0.324290i | ||||
\(484\) | 3.67050 | − | 6.35750i | 0.166841 | − | 0.288977i | ||||
\(485\) | 36.6475 | 1.66408 | ||||||||
\(486\) | −12.8548 | − | 8.81777i | −0.583107 | − | 0.399982i | ||||
\(487\) | 12.6766 | − | 3.39668i | 0.574431 | − | 0.153918i | 0.0401029 | − | 0.999196i | \(-0.487231\pi\) |
0.534328 | + | 0.845277i | \(0.320565\pi\) | |||||||
\(488\) | −7.28456 | − | 7.28456i | −0.329757 | − | 0.329757i | ||||
\(489\) | 12.1782 | − | 10.6276i | 0.550716 | − | 0.480596i | ||||
\(490\) | 5.92118 | + | 29.8308i | 0.267492 | + | 1.34762i | ||||
\(491\) | −3.28493 | + | 5.68966i | −0.148247 | + | 0.256771i | −0.930579 | − | 0.366090i | \(-0.880696\pi\) |
0.782333 | + | 0.622861i | \(0.214030\pi\) | |||||||
\(492\) | −1.59290 | + | 4.65522i | −0.0718134 | + | 0.209874i | ||||
\(493\) | 4.64004 | − | 2.67893i | 0.208977 | − | 0.120653i | ||||
\(494\) | 10.6988 | − | 7.06970i | 0.481360 | − | 0.318081i | ||||
\(495\) | 15.2740 | − | 19.7058i | 0.686513 | − | 0.885709i | ||||
\(496\) | 7.26761 | − | 1.94735i | 0.326325 | − | 0.0874386i | ||||
\(497\) | −34.4789 | − | 5.69965i | −1.54659 | − | 0.255664i | ||||
\(498\) | 2.13514 | − | 1.04647i | 0.0956779 | − | 0.0468936i | ||||
\(499\) | −33.9764 | + | 9.10395i | −1.52099 | + | 0.407549i | −0.920069 | − | 0.391757i | \(-0.871867\pi\) |
−0.600925 | + | 0.799306i | \(0.705201\pi\) | |||||||
\(500\) | 9.98118 | + | 37.2503i | 0.446372 | + | 1.66588i | ||||
\(501\) | −16.4992 | + | 3.24012i | −0.737131 | + | 0.144758i | ||||
\(502\) | −2.34170 | − | 8.73933i | −0.104515 | − | 0.390055i | ||||
\(503\) | 16.1705 | − | 9.33603i | 0.721006 | − | 0.416273i | −0.0941167 | − | 0.995561i | \(-0.530003\pi\) |
0.815123 | + | 0.579288i | \(0.196669\pi\) | |||||||
\(504\) | 5.39637 | + | 5.82058i | 0.240373 | + | 0.259269i | ||||
\(505\) | −18.0022 | − | 67.1853i | −0.801089 | − | 2.98971i | ||||
\(506\) | −1.74875 | + | 3.02892i | −0.0777413 | + | 0.134652i | ||||
\(507\) | −22.4853 | + | 1.18768i | −0.998608 | + | 0.0527466i | ||||
\(508\) | 5.37491 | + | 9.30962i | 0.238473 | + | 0.413048i | ||||
\(509\) | 27.2472 | + | 7.30085i | 1.20771 | + | 0.323605i | 0.805863 | − | 0.592103i | \(-0.201702\pi\) |
0.401846 | + | 0.915707i | \(0.368369\pi\) | |||||||
\(510\) | −4.39376 | − | 2.95133i | −0.194559 | − | 0.130687i | ||||
\(511\) | 37.0472 | + | 6.12421i | 1.63887 | + | 0.270919i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | −10.1547 | − | 15.4408i | −0.448342 | − | 0.681729i | ||||
\(514\) | 3.55279 | + | 13.2592i | 0.156707 | + | 0.584837i | ||||
\(515\) | −0.632866 | + | 2.36189i | −0.0278874 | + | 0.104077i | ||||
\(516\) | 6.59534 | + | 0.448426i | 0.290344 | + | 0.0197408i | ||||
\(517\) | 0.752801 | + | 0.434630i | 0.0331082 | + | 0.0191150i | ||||
\(518\) | 3.57147 | + | 1.61908i | 0.156922 | + | 0.0711384i | ||||
\(519\) | −9.16017 | − | 0.622813i | −0.402087 | − | 0.0273384i | ||||
\(520\) | 14.0138 | + | 7.00029i | 0.614546 | + | 0.306983i | ||||
\(521\) | −26.7604 | + | 15.4501i | −1.17239 | + | 0.676881i | −0.954243 | − | 0.299034i | \(-0.903336\pi\) |
−0.218151 | + | 0.975915i | \(0.570002\pi\) | |||||||
\(522\) | 13.8231 | + | 18.1976i | 0.605022 | + | 0.796489i | ||||
\(523\) | 13.0710 | + | 22.6396i | 0.571553 | + | 0.989958i | 0.996407 | + | 0.0846966i | \(0.0269921\pi\) |
−0.424854 | + | 0.905262i | \(0.639675\pi\) | |||||||
\(524\) | 9.43381 | + | 16.3398i | 0.412118 | + | 0.713809i | ||||
\(525\) | 54.0882 | − | 33.4366i | 2.36060 | − | 1.45929i | ||||
\(526\) | −5.78363 | + | 21.5848i | −0.252178 | + | 0.941141i | ||||
\(527\) | 3.74208 | + | 3.74208i | 0.163008 | + | 0.163008i | ||||
\(528\) | −1.07262 | + | 3.13472i | −0.0466798 | + | 0.136421i | ||||
\(529\) | 9.82844 | − | 17.0234i | 0.427323 | − | 0.740146i | ||||
\(530\) | −17.4675 | − | 30.2546i | −0.758741 | − | 1.31418i | ||||
\(531\) | 20.2907 | − | 2.57077i | 0.880541 | − | 0.111562i | ||||
\(532\) | 3.31287 | + | 8.80748i | 0.143631 | + | 0.381853i | ||||
\(533\) | 9.71540 | − | 3.24255i | 0.420821 | − | 0.140450i | ||||
\(534\) | −11.9095 | + | 17.7301i | −0.515375 | + | 0.767258i | ||||
\(535\) | −31.9276 | − | 31.9276i | −1.38035 | − | 1.38035i | ||||
\(536\) | − | 2.67821i | − | 0.115681i | ||||||
\(537\) | 21.1230 | + | 1.43618i | 0.911526 | + | 0.0619759i | ||||
\(538\) | −18.8815 | − | 18.8815i | −0.814041 | − | 0.814041i | ||||
\(539\) | 11.1303 | + | 7.44355i | 0.479417 | + | 0.320616i | ||||
\(540\) | 10.1327 | − | 20.1739i | 0.436042 | − | 0.868147i | ||||
\(541\) | −2.24375 | − | 8.37380i | −0.0964665 | − | 0.360018i | 0.900771 | − | 0.434294i | \(-0.143002\pi\) |
−0.997238 | + | 0.0742761i | \(0.976335\pi\) | |||||||
\(542\) | −19.3618 | − | 11.1786i | −0.831663 | − | 0.480161i | ||||
\(543\) | −0.0907998 | + | 1.33546i | −0.00389659 | + | 0.0573101i | ||||
\(544\) | 0.679398 | + | 0.182044i | 0.0291290 | + | 0.00780508i | ||||
\(545\) | 36.5604 | 1.56608 | ||||||||
\(546\) | 2.81789 | − | 16.2806i | 0.120595 | − | 0.696747i | ||||
\(547\) | −34.8587 | −1.49045 | −0.745225 | − | 0.666813i | \(-0.767658\pi\) | ||||
−0.745225 | + | 0.666813i | \(0.767658\pi\) | |||||||
\(548\) | −0.822183 | − | 0.220303i | −0.0351219 | − | 0.00941089i | ||||
\(549\) | 30.6213 | + | 4.18331i | 1.30689 | + | 0.178539i | ||||
\(550\) | 22.9870 | + | 13.2716i | 0.980169 | + | 0.565901i | ||||
\(551\) | 7.01204 | + | 26.1693i | 0.298723 | + | 1.11485i | ||||
\(552\) | −1.02528 | + | 2.99636i | −0.0436387 | + | 0.127534i | ||||
\(553\) | 0.339516 | − | 0.748926i | 0.0144377 | − | 0.0318476i | ||||
\(554\) | 14.8336 | + | 14.8336i | 0.630219 | + | 0.630219i | ||||
\(555\) | 0.756581 | − | 11.1276i | 0.0321151 | − | 0.472340i | ||||
\(556\) | − | 10.1496i | − | 0.430438i | ||||||
\(557\) | −17.3299 | − | 17.3299i | −0.734289 | − | 0.734289i | 0.237177 | − | 0.971466i | \(-0.423778\pi\) |
−0.971466 | + | 0.237177i | \(0.923778\pi\) | |||||||
\(558\) | −13.8281 | + | 17.8403i | −0.585388 | + | 0.755242i | ||||
\(559\) | −7.58650 | − | 11.4808i | −0.320875 | − | 0.485588i | ||||
\(560\) | −7.29410 | + | 8.88423i | −0.308232 | + | 0.375427i | ||||
\(561\) | −2.28668 | + | 0.449058i | −0.0965436 | + | 0.0189593i | ||||
\(562\) | 5.44284 | + | 9.42727i | 0.229592 | + | 0.397665i | ||||
\(563\) | −22.5671 | + | 39.0874i | −0.951090 | + | 1.64734i | −0.208019 | + | 0.978125i | \(0.566702\pi\) |
−0.743072 | + | 0.669212i | \(0.766632\pi\) | |||||||
\(564\) | 0.744709 | + | 0.254820i | 0.0313579 | + | 0.0107299i | ||||
\(565\) | −43.0996 | − | 43.0996i | −1.81321 | − | 1.81321i | ||||
\(566\) | −3.60274 | + | 13.4456i | −0.151434 | + | 0.565161i | ||||
\(567\) | −23.4540 | − | 4.11240i | −0.984974 | − | 0.172704i | ||||
\(568\) | −6.60434 | − | 11.4390i | −0.277112 | − | 0.479972i | ||||
\(569\) | 19.2515 | + | 33.3446i | 0.807065 | + | 1.39788i | 0.914888 | + | 0.403708i | \(0.132279\pi\) |
−0.107823 | + | 0.994170i | \(0.534388\pi\) | |||||||
\(570\) | 20.1654 | − | 17.5978i | 0.844636 | − | 0.737092i | ||||
\(571\) | 7.09334 | − | 4.09534i | 0.296847 | − | 0.171385i | −0.344179 | − | 0.938904i | \(-0.611843\pi\) |
0.641026 | + | 0.767519i | \(0.278509\pi\) | |||||||
\(572\) | 6.54213 | − | 2.18346i | 0.273540 | − | 0.0912949i | ||||
\(573\) | 1.48946 | − | 21.9066i | 0.0622231 | − | 0.915161i | ||||
\(574\) | 0.735161 | + | 7.47970i | 0.0306850 | + | 0.312196i | ||||
\(575\) | 21.9724 | + | 12.6858i | 0.916313 | + | 0.529034i | ||||
\(576\) | −0.406071 | + | 2.97239i | −0.0169196 | + | 0.123850i | ||||
\(577\) | 3.58621 | − | 13.3839i | 0.149296 | − | 0.557180i | −0.850231 | − | 0.526411i | \(-0.823537\pi\) |
0.999527 | − | 0.0307697i | \(-0.00979584\pi\) | |||||||
\(578\) | −4.27188 | − | 15.9429i | −0.177687 | − | 0.663136i | ||||
\(579\) | −2.62867 | + | 2.29398i | −0.109244 | + | 0.0953344i | ||||
\(580\) | −23.4020 | + | 23.4020i | −0.971716 | + | 0.971716i | ||||
\(581\) | 2.30478 | − | 2.80722i | 0.0956183 | − | 0.116463i | ||||
\(582\) | 8.14642 | − | 12.1279i | 0.337680 | − | 0.502717i | ||||
\(583\) | −14.8569 | − | 3.98090i | −0.615310 | − | 0.164872i | ||||
\(584\) | 7.09629 | + | 12.2911i | 0.293647 | + | 0.508611i | ||||
\(585\) | −46.1812 | + | 8.70711i | −1.90936 | + | 0.359995i | ||||
\(586\) | −6.38973 | + | 11.0673i | −0.263957 | + | 0.457187i | ||||
\(587\) | −3.18558 | − | 11.8888i | −0.131483 | − | 0.490701i | 0.868505 | − | 0.495681i | \(-0.165082\pi\) |
−0.999988 | + | 0.00497976i | \(0.998415\pi\) | |||||||
\(588\) | 11.1882 | + | 4.67159i | 0.461394 | + | 0.192653i | ||||
\(589\) | −23.1748 | + | 13.3800i | −0.954901 | + | 0.551312i | ||||
\(590\) | 7.66632 | + | 28.6111i | 0.315618 | + | 1.17790i | ||||
\(591\) | −2.28338 | − | 11.6273i | −0.0939256 | − | 0.478285i | ||||
\(592\) | 0.383602 | + | 1.43162i | 0.0157660 | + | 0.0588393i | ||||
\(593\) | −12.9309 | + | 3.46484i | −0.531010 | + | 0.142284i | −0.514355 | − | 0.857578i | \(-0.671969\pi\) |
−0.0166555 | + | 0.999861i | \(0.505302\pi\) | |||||||
\(594\) | −3.12604 | − | 9.43508i | −0.128263 | − | 0.387126i | ||||
\(595\) | −7.97688 | − | 1.31864i | −0.327020 | − | 0.0540591i | ||||
\(596\) | −20.1630 | + | 5.40265i | −0.825908 | + | 0.221301i | ||||
\(597\) | −29.4712 | − | 19.7961i | −1.20618 | − | 0.810200i | ||||
\(598\) | 6.25337 | − | 2.08708i | 0.255719 | − | 0.0853472i | ||||
\(599\) | 0.589433 | − | 0.340309i | 0.0240836 | − | 0.0139047i | −0.487910 | − | 0.872894i | \(-0.662241\pi\) |
0.511993 | + | 0.858989i | \(0.328907\pi\) | |||||||
\(600\) | 22.7399 | + | 7.78102i | 0.928354 | + | 0.317659i | ||||
\(601\) | −1.74839 | + | 3.02830i | −0.0713184 | + | 0.123527i | −0.899479 | − | 0.436963i | \(-0.856054\pi\) |
0.828161 | + | 0.560490i | \(0.189387\pi\) | |||||||
\(602\) | 9.45131 | − | 3.55504i | 0.385207 | − | 0.144893i | ||||
\(603\) | 4.86005 | + | 6.39807i | 0.197917 | + | 0.260550i | ||||
\(604\) | 3.25030 | + | 3.25030i | 0.132253 | + | 0.132253i | ||||
\(605\) | −30.8075 | + | 8.25486i | −1.25250 | + | 0.335608i | ||||
\(606\) | −26.2356 | − | 8.97714i | −1.06575 | − | 0.364672i | ||||
\(607\) | 26.1270 | 1.06046 | 0.530231 | − | 0.847853i | \(-0.322105\pi\) | ||||
0.530231 | + | 0.847853i | \(0.322105\pi\) | |||||||
\(608\) | −1.77831 | + | 3.08012i | −0.0721200 | + | 0.124915i | ||||
\(609\) | 30.7423 | + | 16.5365i | 1.24574 | + | 0.670094i | ||||
\(610\) | 44.7585i | 1.81222i | ||||||||
\(611\) | −0.518720 | − | 1.55420i | −0.0209851 | − | 0.0628762i | ||||
\(612\) | −1.95339 | + | 0.797987i | −0.0789609 | + | 0.0322567i | ||||
\(613\) | 28.5138 | + | 28.5138i | 1.15166 | + | 1.15166i | 0.986219 | + | 0.165442i | \(0.0529052\pi\) |
0.165442 | + | 0.986219i | \(0.447095\pi\) | |||||||
\(614\) | −17.7447 | + | 10.2449i | −0.716118 | + | 0.413451i | ||||
\(615\) | 19.1952 | − | 9.40792i | 0.774024 | − | 0.379364i | ||||
\(616\) | 0.495040 | + | 5.03665i | 0.0199457 | + | 0.202933i | ||||
\(617\) | 12.8924 | + | 3.45450i | 0.519028 | + | 0.139073i | 0.508817 | − | 0.860875i | \(-0.330083\pi\) |
0.0102110 | + | 0.999948i | \(0.496750\pi\) | |||||||
\(618\) | 0.640947 | + | 0.734463i | 0.0257827 | + | 0.0295444i | ||||
\(619\) | −20.6664 | − | 5.53754i | −0.830651 | − | 0.222572i | −0.181654 | − | 0.983363i | \(-0.558145\pi\) |
−0.648998 | + | 0.760790i | \(0.724812\pi\) | |||||||
\(620\) | −28.3097 | − | 16.3446i | −1.13695 | − | 0.656417i | ||||
\(621\) | −2.98806 | − | 9.01863i | −0.119907 | − | 0.361905i | ||||
\(622\) | 7.01235 | + | 26.1705i | 0.281170 | + | 1.04934i | ||||
\(623\) | −5.32112 | + | 32.1891i | −0.213186 | + | 1.28963i | ||||
\(624\) | 5.43177 | − | 3.08153i | 0.217445 | − | 0.123360i | ||||
\(625\) | 49.0842 | − | 85.0163i | 1.96337 | − | 3.40065i | ||||
\(626\) | −0.137548 | + | 0.137548i | −0.00549754 | + | 0.00549754i | ||||
\(627\) | 0.799339 | − | 11.7565i | 0.0319225 | − | 0.469509i | ||||
\(628\) | 10.9324i | 0.436248i | ||||||||
\(629\) | −0.737141 | + | 0.737141i | −0.0293917 | + | 0.0293917i | ||||
\(630\) | 1.30325 | − | 34.4602i | 0.0519226 | − | 1.37293i | ||||
\(631\) | 7.73214 | + | 2.07182i | 0.307812 | + | 0.0824779i | 0.409418 | − | 0.912347i | \(-0.365732\pi\) |
−0.101607 | + | 0.994825i | \(0.532398\pi\) | |||||||
\(632\) | 0.300206 | − | 0.0804401i | 0.0119416 | − | 0.00319973i | ||||
\(633\) | −12.5063 | + | 18.6187i | −0.497082 | + | 0.740025i | ||||
\(634\) | 8.72319i | 0.346442i | ||||||||
\(635\) | 12.0880 | − | 45.1131i | 0.479698 | − | 1.79026i | ||||
\(636\) | −13.8951 | − | 0.944750i | −0.550978 | − | 0.0374618i | ||||
\(637\) | −6.39751 | − | 24.4146i | −0.253479 | − | 0.967341i | ||||
\(638\) | 14.5711i | 0.576874i | ||||||||
\(639\) | 36.5353 | + | 15.3425i | 1.44532 | + | 0.606939i | ||||
\(640\) | −4.34468 | −0.171738 | ||||||||
\(641\) | 6.45150 | − | 11.1743i | 0.254819 | − | 0.441360i | −0.710027 | − | 0.704174i | \(-0.751317\pi\) |
0.964846 | + | 0.262815i | \(0.0846507\pi\) | |||||||
\(642\) | −17.6631 | + | 3.46868i | −0.697108 | + | 0.136898i | ||||
\(643\) | −9.32124 | + | 34.7873i | −0.367594 | + | 1.37188i | 0.496277 | + | 0.868164i | \(0.334700\pi\) |
−0.863870 | + | 0.503714i | \(0.831966\pi\) | |||||||
\(644\) | 0.473190 | + | 4.81435i | 0.0186463 | + | 0.189712i | ||||
\(645\) | −18.8842 | − | 21.6395i | −0.743566 | − | 0.852054i | ||||
\(646\) | −2.50160 | −0.0984242 | ||||||||
\(647\) | −2.75300 | −0.108231 | −0.0541157 | − | 0.998535i | \(-0.517234\pi\) | ||||
−0.0541157 | + | 0.998535i | \(0.517234\pi\) | |||||||
\(648\) | −4.42381 | − | 7.83772i | −0.173784 | − | 0.307895i | ||||
\(649\) | 11.2939 | + | 6.52055i | 0.443325 | + | 0.255954i | ||||
\(650\) | −15.8393 | − | 47.4580i | −0.621267 | − | 1.86146i | ||||
\(651\) | −7.91800 | + | 33.5577i | −0.310331 | + | 1.31523i | ||||
\(652\) | 9.01393 | − | 2.41528i | 0.353013 | − | 0.0945895i | ||||
\(653\) | 6.75178 | − | 3.89814i | 0.264218 | − | 0.152546i | −0.362039 | − | 0.932163i | \(-0.617919\pi\) |
0.626257 | + | 0.779617i | \(0.284586\pi\) | |||||||
\(654\) | 8.12705 | − | 12.0991i | 0.317793 | − | 0.473110i | ||||
\(655\) | 21.2163 | − | 79.1805i | 0.828991 | − | 3.09384i | ||||
\(656\) | −2.00867 | + | 2.00867i | −0.0784252 | + | 0.0784252i | ||||
\(657\) | −39.2568 | − | 16.4853i | −1.53155 | − | 0.643154i | ||||
\(658\) | 1.19655 | − | 0.117606i | 0.0466463 | − | 0.00458475i | ||||
\(659\) | 30.1598 | − | 17.4128i | 1.17486 | − | 0.678306i | 0.220040 | − | 0.975491i | \(-0.429381\pi\) |
0.954820 | + | 0.297185i | \(0.0960479\pi\) | |||||||
\(660\) | 12.9256 | − | 6.33508i | 0.503127 | − | 0.246593i | ||||
\(661\) | −24.9621 | + | 24.9621i | −0.970914 | + | 0.970914i | −0.999589 | − | 0.0286743i | \(-0.990871\pi\) |
0.0286743 | + | 0.999589i | \(0.490871\pi\) | |||||||
\(662\) | −14.4034 | − | 24.9474i | −0.559803 | − | 0.969607i | ||||
\(663\) | 3.78732 | + | 2.22494i | 0.147087 | + | 0.0864096i | ||||
\(664\) | 1.37282 | 0.0532759 | ||||||||
\(665\) | 16.8803 | − | 37.2355i | 0.654589 | − | 1.44393i | ||||
\(666\) | −3.51431 | − | 2.72394i | −0.136177 | − | 0.105551i | ||||
\(667\) | 13.9279i | 0.539292i | ||||||||
\(668\) | −9.37699 | − | 2.51256i | −0.362807 | − | 0.0972138i | ||||
\(669\) | −19.5172 | + | 3.83279i | −0.754578 | + | 0.148184i | ||||
\(670\) | −8.22788 | + | 8.22788i | −0.317871 | + | 0.317871i | ||||
\(671\) | 13.9343 | + | 13.9343i | 0.537926 | + | 0.537926i | ||||
\(672\) | 1.31867 | + | 4.38875i | 0.0508690 | + | 0.169300i | ||||
\(673\) | 22.7367 | + | 13.1271i | 0.876437 | + | 0.506011i | 0.869482 | − | 0.493965i | \(-0.164453\pi\) |
0.00695514 | + | 0.999976i | \(0.497786\pi\) | |||||||
\(674\) | −0.259689 | + | 0.969173i | −0.0100028 | + | 0.0373311i | ||||
\(675\) | −68.4441 | + | 22.6769i | −2.63441 | + | 0.872836i | ||||
\(676\) | −11.9589 | − | 5.09763i | −0.459956 | − | 0.196063i | ||||
\(677\) | −28.1917 | − | 16.2765i | −1.08349 | − | 0.625555i | −0.151657 | − | 0.988433i | \(-0.548461\pi\) |
−0.931837 | + | 0.362878i | \(0.881794\pi\) | |||||||
\(678\) | −23.8437 | + | 4.68243i | −0.915713 | + | 0.179828i | ||||
\(679\) | 3.63979 | − | 22.0182i | 0.139682 | − | 0.844981i | ||||
\(680\) | −1.52795 | − | 2.64648i | −0.0585941 | − | 0.101488i | ||||
\(681\) | 2.46207 | + | 12.5372i | 0.0943466 | + | 0.480428i | ||||
\(682\) | −13.9018 | + | 3.72499i | −0.532329 | + | 0.142637i | ||||
\(683\) | 14.9363 | − | 4.00216i | 0.571520 | − | 0.153138i | 0.0385265 | − | 0.999258i | \(-0.487734\pi\) |
0.532994 | + | 0.846119i | \(0.321067\pi\) | |||||||
\(684\) | −1.34112 | − | 10.5852i | −0.0512790 | − | 0.404737i | ||||
\(685\) | 1.84907 | + | 3.20268i | 0.0706492 | + | 0.122368i | ||||
\(686\) | 18.5107 | − | 0.594751i | 0.706742 | − | 0.0227077i | ||||
\(687\) | 4.86169 | + | 24.7565i | 0.185485 | + | 0.944520i | ||||
\(688\) | 3.30528 | + | 1.90831i | 0.126013 | + | 0.0727535i | ||||
\(689\) | 15.9833 | + | 24.1880i | 0.608917 | + | 0.921489i | ||||
\(690\) | 12.3551 | − | 6.05546i | 0.470350 | − | 0.230527i | ||||
\(691\) | 3.08383 | − | 11.5090i | 0.117314 | − | 0.437824i | −0.882135 | − | 0.470996i | \(-0.843894\pi\) |
0.999450 | + | 0.0331728i | \(0.0105612\pi\) | |||||||
\(692\) | −4.59066 | − | 2.65042i | −0.174511 | − | 0.100754i | ||||
\(693\) | −10.3224 | − | 11.1339i | −0.392117 | − | 0.422942i | ||||
\(694\) | 17.1221 | + | 17.1221i | 0.649944 | + | 0.649944i | ||||
\(695\) | −31.1810 | + | 31.1810i | −1.18276 | + | 1.18276i | ||||
\(696\) | 2.54245 | + | 12.9466i | 0.0963713 | + | 0.490738i | ||||
\(697\) | −1.92995 | − | 0.517130i | −0.0731022 | − | 0.0195877i | ||||
\(698\) | 4.01617i | 0.152014i | ||||||||
\(699\) | −21.8917 | + | 32.5910i | −0.828020 | + | 1.23271i | ||||
\(700\) | 36.5370 | − | 3.59113i | 1.38097 | − | 0.135732i | ||||
\(701\) | −20.9371 | −0.790783 | −0.395392 | − | 0.918513i | \(-0.629391\pi\) | ||||
−0.395392 | + | 0.918513i | \(0.629391\pi\) | |||||||
\(702\) | −7.38420 | + | 17.2184i | −0.278698 | + | 0.649867i | ||||
\(703\) | −2.63568 | − | 4.56513i | −0.0994065 | − | 0.172177i | ||||
\(704\) | −1.35259 | + | 1.35259i | −0.0509776 | + | 0.0509776i | ||||
\(705\) | −1.50501 | − | 3.07071i | −0.0566821 | − | 0.115649i | ||||
\(706\) | −12.1648 | + | 7.02334i | −0.457828 | + | 0.264327i | ||||
\(707\) | −42.1536 | + | 4.14317i | −1.58535 | + | 0.155820i | ||||
\(708\) | 11.1725 | + | 3.82295i | 0.419889 | + | 0.143675i | ||||
\(709\) | −21.3623 | + | 21.3623i | −0.802276 | + | 0.802276i | −0.983451 | − | 0.181175i | \(-0.942010\pi\) |
0.181175 | + | 0.983451i | \(0.442010\pi\) | |||||||
\(710\) | −14.8530 | + | 55.4320i | −0.557422 | + | 2.08033i | ||||
\(711\) | −0.571201 | + | 0.736939i | −0.0214217 | + | 0.0276374i | ||||
\(712\) | −10.6793 | + | 6.16573i | −0.400226 | + | 0.231070i | ||||
\(713\) | −13.2882 | + | 3.56058i | −0.497649 | + | 0.133345i | ||||
\(714\) | −2.20957 | + | 2.34669i | −0.0826911 | + | 0.0878227i | ||||
\(715\) | −26.8063 | − | 13.3905i | −1.00250 | − | 0.500776i | ||||
\(716\) | 10.5859 | + | 6.11177i | 0.395613 | + | 0.228408i | ||||
\(717\) | −6.15142 | + | 5.36819i | −0.229729 | + | 0.200479i | ||||
\(718\) | 15.2521 | 0.569202 | ||||||||
\(719\) | 21.9643 | 0.819131 | 0.409565 | − | 0.912281i | \(-0.365680\pi\) | ||||
0.409565 | + | 0.912281i | \(0.365680\pi\) | |||||||
\(720\) | 10.3791 | − | 7.88412i | 0.386808 | − | 0.293824i | ||||
\(721\) | 1.35619 | + | 0.614812i | 0.0505072 | + | 0.0228968i | ||||
\(722\) | −1.64362 | + | 6.13407i | −0.0611692 | + | 0.228286i | ||||
\(723\) | −3.50830 | − | 17.8648i | −0.130475 | − | 0.664401i | ||||
\(724\) | −0.386405 | + | 0.669272i | −0.0143606 | + | 0.0248733i | ||||
\(725\) | 105.702 | 3.92566 | ||||||||
\(726\) | −4.11643 | + | 12.0302i | −0.152775 | + | 0.446483i | ||||
\(727\) | 46.5924i | 1.72802i | 0.503477 | + | 0.864009i | \(0.332054\pi\) | ||||
−0.503477 | + | 0.864009i | \(0.667946\pi\) | |||||||
\(728\) | 5.59768 | − | 7.72438i | 0.207464 | − | 0.286284i | ||||
\(729\) | 24.7910 | + | 10.6961i | 0.918185 | + | 0.396151i | ||||
\(730\) | 15.9593 | − | 59.5611i | 0.590682 | − | 2.20445i | ||||
\(731\) | 2.68447i | 0.0992887i | ||||||||
\(732\) | 14.8121 | + | 9.94942i | 0.547471 | + | 0.367741i | ||||
\(733\) | −8.03756 | + | 2.15366i | −0.296874 | + | 0.0795472i | −0.404182 | − | 0.914679i | \(-0.632444\pi\) |
0.107308 | + | 0.994226i | \(0.465777\pi\) | |||||||
\(734\) | −18.4250 | − | 4.93697i | −0.680080 | − | 0.182227i | ||||
\(735\) | −20.0200 | − | 48.7237i | −0.738451 | − | 1.79720i | ||||
\(736\) | −1.29289 | + | 1.29289i | −0.0476565 | + | 0.0476565i | ||||
\(737\) | 5.12302i | 0.188709i | ||||||||
\(738\) | 1.15352 | − | 8.44362i | 0.0424616 | − | 0.310814i | ||||
\(739\) | −1.79379 | + | 1.79379i | −0.0659858 | + | 0.0659858i | −0.739330 | − | 0.673344i | \(-0.764857\pi\) |
0.673344 | + | 0.739330i | \(0.264857\pi\) | |||||||
\(740\) | 3.21968 | − | 5.57664i | 0.118358 | − | 0.205002i | ||||
\(741\) | −15.8239 | + | 15.5865i | −0.581304 | + | 0.572583i | ||||
\(742\) | −19.9121 | + | 7.48981i | −0.730998 | + | 0.274960i | ||||
\(743\) | 0.458051 | + | 1.70947i | 0.0168043 | + | 0.0627143i | 0.973819 | − | 0.227325i | \(-0.0729981\pi\) |
−0.957015 | + | 0.290040i | \(0.906331\pi\) | |||||||
\(744\) | −11.7020 | + | 5.73537i | −0.429016 | + | 0.210269i | ||||
\(745\) | 78.5415 | + | 45.3459i | 2.87754 | + | 1.66135i | ||||
\(746\) | 19.9181 | + | 5.33704i | 0.729254 | + | 0.195403i | ||||
\(747\) | −3.27958 | + | 2.49121i | −0.119994 | + | 0.0911486i | ||||
\(748\) | −1.29959 | − | 0.348223i | −0.0475176 | − | 0.0127323i | ||||
\(749\) | −22.3534 | + | 16.0114i | −0.816776 | + | 0.585044i | ||||
\(750\) | −29.3967 | − | 59.9787i | −1.07342 | − | 2.19011i | ||||
\(751\) | 1.63978 | − | 0.946727i | 0.0598364 | − | 0.0345466i | −0.469783 | − | 0.882782i | \(-0.655668\pi\) |
0.529620 | + | 0.848235i | \(0.322335\pi\) | |||||||
\(752\) | 0.321332 | + | 0.321332i | 0.0117178 | + | 0.0117178i | ||||
\(753\) | 6.89680 | + | 14.0717i | 0.251333 | + | 0.512801i | ||||
\(754\) | 18.2146 | − | 20.5564i | 0.663335 | − | 0.748621i | ||||
\(755\) | − | 19.9708i | − | 0.726813i | ||||||
\(756\) | −11.1143 | − | 8.09147i | −0.404224 | − | 0.294284i | ||||
\(757\) | 15.1635 | − | 26.2640i | 0.551128 | − | 0.954581i | −0.447066 | − | 0.894501i | \(-0.647531\pi\) |
0.998194 | − | 0.0600801i | \(-0.0191356\pi\) | |||||||
\(758\) | −29.9097 | −1.08637 | ||||||||
\(759\) | 1.96120 | − | 5.73158i | 0.0711871 | − | 0.208043i | ||||
\(760\) | 14.9258 | − | 3.99937i | 0.541417 | − | 0.145072i | ||||
\(761\) | 11.8216 | + | 11.8216i | 0.428532 | + | 0.428532i | 0.888128 | − | 0.459596i | \(-0.152006\pi\) |
−0.459596 | + | 0.888128i | \(0.652006\pi\) | |||||||
\(762\) | −12.2424 | − | 14.0286i | −0.443494 | − | 0.508201i | ||||
\(763\) | 3.63114 | − | 21.9659i | 0.131456 | − | 0.795218i | ||||
\(764\) | 6.33849 | − | 10.9786i | 0.229319 | − | 0.397191i | ||||
\(765\) | 8.45263 | + | 3.54956i | 0.305606 | + | 0.128335i | ||||
\(766\) | 23.5217 | − | 13.5803i | 0.849875 | − | 0.490675i | ||||
\(767\) | −7.78211 | − | 23.3169i | −0.280996 | − | 0.841926i | ||||
\(768\) | −0.965783 | + | 1.43780i | −0.0348497 | + | 0.0518821i | ||||
\(769\) | 6.14055 | − | 1.64536i | 0.221434 | − | 0.0593331i | −0.146396 | − | 0.989226i | \(-0.546767\pi\) |
0.367830 | + | 0.929893i | \(0.380101\pi\) | |||||||
\(770\) | 13.9525 | − | 16.9942i | 0.502814 | − | 0.612428i | ||||
\(771\) | −10.4637 | − | 21.3493i | −0.376842 | − | 0.768878i | ||||
\(772\) | −1.94567 | + | 0.521340i | −0.0700261 | + | 0.0187634i | ||||
\(773\) | 0.849915 | + | 3.17193i | 0.0305693 | + | 0.114086i | 0.979525 | − | 0.201324i | \(-0.0645245\pi\) |
−0.948955 | + | 0.315410i | \(0.897858\pi\) | |||||||
\(774\) | −11.3590 | + | 1.43916i | −0.408292 | + | 0.0517294i | ||||
\(775\) | 27.0219 | + | 100.847i | 0.970654 | + | 3.62253i | ||||
\(776\) | 7.30496 | − | 4.21752i | 0.262233 | − | 0.151400i | ||||
\(777\) | −6.61043 | − | 1.55974i | −0.237148 | − | 0.0559554i | ||||
\(778\) | 1.89908 | + | 7.08746i | 0.0680853 | + | 0.254098i | ||||
\(779\) | 5.05161 | − | 8.74965i | 0.180993 | − | 0.313489i | ||||
\(780\) | −26.1542 | − | 7.22028i | −0.936469 | − | 0.258528i | ||||
\(781\) | 12.6331 | + | 21.8812i | 0.452048 | + | 0.782970i | ||||
\(782\) | −1.24223 | − | 0.332853i | −0.0444219 | − | 0.0119028i | ||||
\(783\) | −29.5674 | − | 26.3148i | −1.05665 | − | 0.940414i | ||||
\(784\) | 4.61329 | + | 5.26474i | 0.164761 | + | 0.188027i | ||||
\(785\) | 33.5858 | − | 33.5858i | 1.19873 | − | 1.19873i | ||||
\(786\) | −21.4873 | − | 24.6223i | −0.766425 | − | 0.878249i | ||||
\(787\) | 4.80131 | + | 17.9187i | 0.171148 | + | 0.638733i | 0.997176 | + | 0.0751038i | \(0.0239288\pi\) |
−0.826028 | + | 0.563630i | \(0.809405\pi\) | |||||||
\(788\) | 1.77065 | − | 6.60816i | 0.0630768 | − | 0.235406i | ||||
\(789\) | 2.62553 | − | 38.6156i | 0.0934713 | − | 1.37475i | ||||
\(790\) | −1.16940 | − | 0.675155i | −0.0416055 | − | 0.0240209i | ||||
\(791\) | −30.1752 | + | 21.6141i | −1.07291 | + | 0.768507i | ||||
\(792\) | 0.776752 | − | 5.68573i | 0.0276007 | − | 0.202034i | ||||
\(793\) | −2.23951 | − | 37.0765i | −0.0795273 | − | 1.31663i | ||||
\(794\) | 4.88504 | − | 2.82038i | 0.173363 | − | 0.100091i | ||||
\(795\) | 39.7856 | + | 45.5904i | 1.41105 | + | 1.61692i | ||||
\(796\) | −10.2487 | − | 17.7513i | −0.363257 | − | 0.629179i | ||||
\(797\) | 8.29031 | + | 14.3592i | 0.293658 | + | 0.508631i | 0.974672 | − | 0.223640i | \(-0.0717940\pi\) |
−0.681014 | + | 0.732271i | \(0.738461\pi\) | |||||||
\(798\) | −8.57015 | − | 13.8634i | −0.303380 | − | 0.490758i | ||||
\(799\) | −0.0827267 | + | 0.308740i | −0.00292666 | + | 0.0109225i | ||||
\(800\) | 9.81197 | + | 9.81197i | 0.346905 | + | 0.346905i | ||||
\(801\) | 14.3235 | − | 34.1089i | 0.506098 | − | 1.20518i | ||||
\(802\) | 7.71496 | − | 13.3627i | 0.272425 | − | 0.471854i | ||||
\(803\) | −13.5741 | − | 23.5111i | −0.479021 | − | 0.829688i | ||||
\(804\) | 0.893895 | + | 4.55186i | 0.0315252 | + | 0.160532i | ||||
\(805\) | 13.3367 | − | 16.2441i | 0.470057 | − | 0.572530i | ||||
\(806\) | 24.2687 | + | 12.1229i | 0.854829 | + | 0.427011i | ||||
\(807\) | 38.3929 | + | 25.7888i | 1.35149 | + | 0.907810i | ||||
\(808\) | −11.3203 | − | 11.3203i | −0.398247 | − | 0.398247i | ||||
\(809\) | 48.7489i | 1.71392i | 0.515383 | + | 0.856960i | \(0.327650\pi\) | ||||
−0.515383 | + | 0.856960i | \(0.672350\pi\) | |||||||
\(810\) | −10.4881 | + | 37.6693i | −0.368513 | + | 1.32356i | ||||
\(811\) | −8.20253 | − | 8.20253i | −0.288030 | − | 0.288030i | 0.548271 | − | 0.836301i | \(-0.315286\pi\) |
−0.836301 | + | 0.548271i | \(0.815286\pi\) | |||||||
\(812\) | 11.7359 | + | 16.3844i | 0.411850 | + | 0.574981i | ||||
\(813\) | 36.6382 | + | 12.5366i | 1.28496 | + | 0.439679i | ||||
\(814\) | −0.733773 | − | 2.73848i | −0.0257187 | − | 0.0959836i | ||||
\(815\) | −35.1123 | − | 20.2721i | −1.22993 | − | 0.710100i | ||||
\(816\) | −1.21546 | − | 0.0826406i | −0.0425495 | − | 0.00289300i | ||||
\(817\) | −13.1117 | − | 3.51327i | −0.458720 | − | 0.122914i | ||||
\(818\) | 0.0280950 | 0.000982319 | ||||||||
\(819\) | 0.644657 | + | 28.6109i | 0.0225262 | + | 0.999746i | ||||
\(820\) | 12.3418 | 0.430996 | ||||||||
\(821\) | −4.53552 | − | 1.21529i | −0.158291 | − | 0.0424139i | 0.178803 | − | 0.983885i | \(-0.442777\pi\) |
−0.337094 | + | 0.941471i | \(0.609444\pi\) | |||||||
\(822\) | 1.47090 | + | 0.100009i | 0.0513036 | + | 0.00348820i | ||||
\(823\) | −7.77851 | − | 4.49092i | −0.271142 | − | 0.156544i | 0.358265 | − | 0.933620i | \(-0.383369\pi\) |
−0.629406 | + | 0.777076i | \(0.716702\pi\) | |||||||
\(824\) | 0.145665 | + | 0.543628i | 0.00507447 | + | 0.0189382i | ||||
\(825\) | −43.4980 | − | 14.8839i | −1.51441 | − | 0.518191i | ||||
\(826\) | 17.9513 | − | 1.76438i | 0.624604 | − | 0.0613908i | ||||
\(827\) | −6.72026 | − | 6.72026i | −0.233686 | − | 0.233686i | 0.580543 | − | 0.814229i | \(-0.302840\pi\) |
−0.814229 | + | 0.580543i | \(0.802840\pi\) | |||||||
\(828\) | 0.742469 | − | 5.43478i | 0.0258026 | − | 0.188872i | ||||
\(829\) | − | 48.0277i | − | 1.66807i | −0.551712 | − | 0.834035i | \(-0.686025\pi\) | ||
0.551712 | − | 0.834035i | \(-0.313975\pi\) | |||||||
\(830\) | −4.21752 | − | 4.21752i | −0.146392 | − | 0.146392i | ||||
\(831\) | −30.1620 | − | 20.2601i | −1.04631 | − | 0.702814i | ||||
\(832\) | 3.59899 | − | 0.217387i | 0.124773 | − | 0.00753655i | ||||
\(833\) | −1.58451 | + | 4.66162i | −0.0548999 | + | 0.161516i | ||||
\(834\) | 3.38758 | + | 17.2501i | 0.117302 | + | 0.597322i | ||||
\(835\) | 21.0886 | + | 36.5265i | 0.729800 | + | 1.26405i | ||||
\(836\) | 3.40164 | − | 5.89181i | 0.117648 | − | 0.203773i | ||||
\(837\) | 17.5475 | − | 34.9366i | 0.606531 | − | 1.20758i | ||||
\(838\) | 7.67565 | + | 7.67565i | 0.265151 | + | 0.265151i | ||||
\(839\) | 4.99773 | − | 18.6518i | 0.172541 | − | 0.643931i | −0.824417 | − | 0.565983i | \(-0.808497\pi\) |
0.996957 | − | 0.0779477i | \(-0.0248367\pi\) | |||||||
\(840\) | 9.43173 | − | 17.5341i | 0.325425 | − | 0.604982i | ||||
\(841\) | 14.5129 | + | 25.1372i | 0.500446 | + | 0.866798i | ||||
\(842\) | −10.7610 | − | 18.6387i | −0.370850 | − | 0.642331i | ||||
\(843\) | −12.3971 | − | 14.2058i | −0.426978 | − | 0.489275i | ||||
\(844\) | −11.2145 | + | 6.47471i | −0.386020 | + | 0.222869i | ||||
\(845\) | 21.0787 | + | 52.4001i | 0.725130 | + | 1.80262i | ||||
\(846\) | −1.35075 | − | 0.184532i | −0.0464397 | − | 0.00634433i | ||||
\(847\) | 1.89983 | + | 19.3293i | 0.0652790 | + | 0.664164i | ||||
\(848\) | −6.96361 | − | 4.02044i | −0.239131 | − | 0.138063i | ||||
\(849\) | 1.63550 | − | 24.0545i | 0.0561300 | − | 0.825547i | ||||
\(850\) | −2.52609 | + | 9.42748i | −0.0866440 | + | 0.323360i | ||||
\(851\) | −0.701386 | − | 2.61761i | −0.0240432 | − | 0.0897305i | ||||
\(852\) | 15.0426 | + | 17.2374i | 0.515351 | + | 0.590543i | ||||
\(853\) | 9.76140 | − | 9.76140i | 0.334224 | − | 0.334224i | −0.519964 | − | 0.854188i | \(-0.674055\pi\) |
0.854188 | + | 0.519964i | \(0.174055\pi\) | |||||||
\(854\) | 26.8914 | + | 4.44536i | 0.920204 | + | 0.152117i | ||||
\(855\) | −28.3993 | + | 36.6396i | −0.971237 | + | 1.25305i | ||||
\(856\) | −10.0385 | − | 2.68980i | −0.343108 | − | 0.0919354i | ||||
\(857\) | −16.4315 | − | 28.4602i | −0.561289 | − | 0.972182i | −0.997384 | − | 0.0722810i | \(-0.976972\pi\) |
0.436095 | − | 0.899901i | \(-0.356361\pi\) | |||||||
\(858\) | −10.3902 | + | 5.89451i | −0.354714 | + | 0.201235i | ||||
\(859\) | −6.35388 | + | 11.0052i | −0.216792 | + | 0.375494i | −0.953825 | − | 0.300362i | \(-0.902893\pi\) |
0.737034 | + | 0.675856i | \(0.236226\pi\) | |||||||
\(860\) | −4.29172 | − | 16.0169i | −0.146347 | − | 0.546173i | ||||
\(861\) | −3.74593 | − | 12.4670i | −0.127661 | − | 0.424875i | ||||
\(862\) | 20.8731 | − | 12.0511i | 0.710941 | − | 0.410462i | ||||
\(863\) | 2.29597 | + | 8.56869i | 0.0781559 | + | 0.291682i | 0.993930 | − | 0.110011i | \(-0.0350886\pi\) |
−0.915775 | + | 0.401693i | \(0.868422\pi\) | |||||||
\(864\) | −0.301928 | − | 5.18737i | −0.0102718 | − | 0.176478i | ||||
\(865\) | 5.96071 | + | 22.2457i | 0.202670 | + | 0.756376i | ||||
\(866\) | 3.05470 | − | 0.818505i | 0.103803 | − | 0.0278139i | ||||
\(867\) | 12.5816 | + | 25.6705i | 0.427294 | + | 0.871816i | ||||
\(868\) | −12.6317 | + | 15.3855i | −0.428748 | + | 0.522216i | ||||
\(869\) | −0.574250 | + | 0.153870i | −0.0194801 | + | 0.00521967i | ||||
\(870\) | 31.9630 | − | 47.5846i | 1.08365 | − | 1.61327i | ||||
\(871\) | 6.40402 | − | 7.22739i | 0.216992 | − | 0.244891i | ||||
\(872\) | 7.28759 | − | 4.20749i | 0.246789 | − | 0.142484i | ||||
\(873\) | −9.79768 | + | 23.3314i | −0.331601 | + | 0.789648i | ||||
\(874\) | 3.25150 | − | 5.63176i | 0.109984 | − | 0.190497i | ||||
\(875\) | −78.8584 | − | 64.7441i | −2.66590 | − | 2.18875i | ||||
\(876\) | −16.1631 | − | 18.5214i | −0.546101 | − | 0.625779i | ||||
\(877\) | 2.76520 | + | 2.76520i | 0.0933743 | + | 0.0933743i | 0.752251 | − | 0.658877i | \(-0.228968\pi\) |
−0.658877 | + | 0.752251i | \(0.728968\pi\) | |||||||
\(878\) | 16.4344 | − | 4.40359i | 0.554635 | − | 0.148614i | ||||
\(879\) | 7.16602 | − | 20.9426i | 0.241704 | − | 0.706376i | ||||
\(880\) | 8.31071 | 0.280154 | ||||||||
\(881\) | 3.11388 | − | 5.39339i | 0.104909 | − | 0.181708i | −0.808792 | − | 0.588095i | \(-0.799878\pi\) |
0.913701 | + | 0.406387i | \(0.133211\pi\) | |||||||
\(882\) | −20.5746 | − | 4.20555i | −0.692782 | − | 0.141608i | ||||
\(883\) | 21.8076i | 0.733883i | 0.930244 | + | 0.366942i | \(0.119595\pi\) | ||||
−0.930244 | + | 0.366942i | \(0.880405\pi\) | |||||||
\(884\) | 1.39812 | + | 2.11581i | 0.0470239 | + | 0.0711624i | ||||
\(885\) | −22.5790 | − | 46.0684i | −0.758985 | − | 1.54857i | ||||
\(886\) | 3.52102 | + | 3.52102i | 0.118291 | + | 0.118291i | ||||
\(887\) | 3.25715 | − | 1.88052i | 0.109365 | − | 0.0631416i | −0.444320 | − | 0.895868i | \(-0.646555\pi\) |
0.553685 | + | 0.832726i | \(0.313221\pi\) | |||||||
\(888\) | −1.12979 | − | 2.30514i | −0.0379133 | − | 0.0773553i | ||||
\(889\) | −25.9038 | − | 11.7432i | −0.868787 | − | 0.393854i | ||||
\(890\) | 51.7506 | + | 13.8665i | 1.73468 | + | 0.464807i | ||||
\(891\) | 8.46208 | + | 14.9924i | 0.283490 | + | 0.502264i | ||||
\(892\) | −11.0922 | − | 2.97214i | −0.371394 | − | 0.0995147i | ||||
\(893\) | −1.39971 | − | 0.808121i | −0.0468394 | − | 0.0270427i | ||||
\(894\) | 32.4655 | − | 15.9120i | 1.08581 | − | 0.532177i | ||||
\(895\) | −13.7452 | − | 51.2977i | −0.459451 | − | 1.71469i | ||||
\(896\) | −0.431508 | + | 2.61033i | −0.0144157 | + | 0.0872049i | ||||
\(897\) | −9.93156 | + | 5.63434i | −0.331605 | + | 0.188125i | ||||
\(898\) | −17.2309 | + | 29.8448i | −0.575003 | + | 0.995935i | ||||
\(899\) | −40.5269 | + | 40.5269i | −1.35165 | + | 1.35165i | ||||
\(900\) | −41.2455 | − | 5.63473i | −1.37485 | − | 0.187824i | ||||
\(901\) | − | 5.65568i | − | 0.188418i | ||||||
\(902\) | 3.84227 | − | 3.84227i | 0.127934 | − | 0.127934i | ||||
\(903\) | −14.8768 | + | 9.19663i | −0.495069 | + | 0.306045i | ||||
\(904\) | −13.5511 | − | 3.63100i | −0.450702 | − | 0.120765i | ||||
\(905\) | 3.24320 | − | 0.869012i | 0.107808 | − | 0.0288869i | ||||
\(906\) | −6.60902 | − | 4.43934i | −0.219570 | − | 0.147487i | ||||
\(907\) | 39.7380i | 1.31948i | 0.751495 | + | 0.659739i | \(0.229333\pi\) | ||||
−0.751495 | + | 0.659739i | \(0.770667\pi\) | |||||||
\(908\) | −1.90921 | + | 7.12528i | −0.0633595 | + | 0.236461i | ||||
\(909\) | 47.5859 | + | 6.50092i | 1.57833 | + | 0.215622i | ||||
\(910\) | −40.9274 | + | 6.53354i | −1.35673 | + | 0.216585i | ||||
\(911\) | − | 32.9753i | − | 1.09252i | −0.837616 | − | 0.546260i | \(-0.816051\pi\) | ||
0.837616 | − | 0.546260i | \(-0.183949\pi\) | |||||||
\(912\) | 1.99436 | − | 5.82848i | 0.0660397 | − | 0.193000i | ||||
\(913\) | −2.62600 | −0.0869080 | ||||||||
\(914\) | 0.986054 | − | 1.70790i | 0.0326158 | − | 0.0564922i | ||||
\(915\) | −14.9389 | − | 76.0711i | −0.493863 | − | 2.51483i | ||||
\(916\) | −3.77001 | + | 14.0699i | −0.124565 | + | 0.464881i | ||||
\(917\) | −45.4653 | − | 20.6111i | −1.50139 | − | 0.680639i | ||||
\(918\) | 3.05361 | − | 2.00822i | 0.100784 | − | 0.0662812i | ||||
\(919\) | −9.72717 | −0.320870 | −0.160435 | − | 0.987046i | \(-0.551290\pi\) | ||||
−0.160435 | + | 0.987046i | \(0.551290\pi\) | |||||||
\(920\) | 7.94390 | 0.261903 | ||||||||
\(921\) | 26.7393 | − | 23.3347i | 0.881090 | − | 0.768904i | ||||
\(922\) | 11.8103 | + | 6.81870i | 0.388953 | + | 0.224562i | ||||
\(923\) | 9.53016 | − | 46.6613i | 0.313689 | − | 1.53587i | ||||
\(924\) | −2.52242 | − | 8.39501i | −0.0829817 | − | 0.276176i | ||||
\(925\) | −19.8655 | + | 5.32295i | −0.653174 | + | 0.175017i | ||||
\(926\) | −6.75861 | + | 3.90209i | −0.222102 | + | 0.128231i | ||||
\(927\) | −1.33448 | − | 1.03436i | −0.0438302 | − | 0.0339728i | ||||
\(928\) | −1.97155 | + | 7.35791i | −0.0647192 | + | 0.241535i | ||||
\(929\) | 8.51157 | − | 8.51157i | 0.279255 | − | 0.279255i | −0.553556 | − | 0.832812i | \(-0.686730\pi\) |
0.832812 | + | 0.553556i | \(0.186730\pi\) | |||||||
\(930\) | 53.5702 | + | 18.3303i | 1.75664 | + | 0.601076i | ||||
\(931\) | −20.6950 | − | 13.8400i | −0.678250 | − | 0.453589i | ||||
\(932\) | −19.6305 | + | 11.3337i | −0.643017 | + | 0.371246i | ||||
\(933\) | −20.6529 | − | 42.1385i | −0.676146 | − | 1.37955i | ||||
\(934\) | −10.4139 | + | 10.4139i | −0.340752 | + | 0.340752i | ||||
\(935\) | 2.92273 | + | 5.06232i | 0.0955835 | + | 0.165556i | ||||
\(936\) | −8.20327 | + | 7.05028i | −0.268132 | + | 0.230446i | ||||
\(937\) | −14.9299 | −0.487737 | −0.243869 | − | 0.969808i | \(-0.578417\pi\) | ||||
−0.243869 | + | 0.969808i | \(0.578417\pi\) | |||||||
\(938\) | 4.12621 | + | 5.76057i | 0.134725 | + | 0.188089i | ||||
\(939\) | 0.187867 | − | 0.279685i | 0.00613080 | − | 0.00912716i | ||||
\(940\) | − | 1.97436i | − | 0.0643965i | ||||||
\(941\) | 46.3899 | + | 12.4301i | 1.51227 | + | 0.405211i | 0.917187 | − | 0.398456i | \(-0.130454\pi\) |
0.595079 | + | 0.803667i | \(0.297121\pi\) | |||||||
\(942\) | −3.64884 | − | 18.5805i | −0.118886 | − | 0.605385i | ||||
\(943\) | 3.67268 | − | 3.67268i | 0.119599 | − | 0.119599i | ||||
\(944\) | 4.82079 | + | 4.82079i | 0.156903 | + | 0.156903i | ||||
\(945\) | 9.28663 | + | 59.0031i | 0.302094 | + | 1.91937i | ||||
\(946\) | −6.32251 | − | 3.65030i | −0.205562 | − | 0.118681i | ||||
\(947\) | 3.56628 | − | 13.3095i | 0.115888 | − | 0.432502i | −0.883463 | − | 0.468500i | \(-0.844794\pi\) |
0.999352 | + | 0.0359985i | \(0.0114612\pi\) | |||||||
\(948\) | −0.483379 | + | 0.236913i | −0.0156994 | + | 0.00769459i | ||||
\(949\) | −10.2401 | + | 50.1370i | −0.332406 | + | 1.62752i | ||||
\(950\) | −42.7405 | − | 24.6762i | −1.38668 | − | 0.800602i | ||||
\(951\) | −2.91150 | − | 14.8258i | −0.0944118 | − | 0.480761i | ||||
\(952\) | −1.74179 | + | 0.655160i | −0.0564516 | + | 0.0212339i | ||||
\(953\) | 0.835017 | + | 1.44629i | 0.0270489 | + | 0.0468500i | 0.879233 | − | 0.476392i | \(-0.158056\pi\) |
−0.852184 | + | 0.523242i | \(0.824722\pi\) | |||||||
\(954\) | 23.9313 | − | 3.03203i | 0.774806 | − | 0.0981657i | ||||
\(955\) | −53.2007 | + | 14.2551i | −1.72153 | + | 0.461283i | ||||
\(956\) | −4.55310 | + | 1.22000i | −0.147258 | + | 0.0394576i | ||||
\(957\) | −4.86332 | − | 24.7648i | −0.157209 | − | 0.800533i | ||||
\(958\) | −8.58920 | − | 14.8769i | −0.277504 | − | 0.480652i | ||||
\(959\) | 2.10785 | − | 0.792851i | 0.0680659 | − | 0.0256025i | ||||
\(960\) | 7.38416 | − | 1.45010i | 0.238323 | − | 0.0468019i | ||||
\(961\) | −22.1792 | − | 12.8052i | −0.715458 | − | 0.413070i | ||||
\(962\) | −2.38805 | + | 4.78061i | −0.0769938 | + | 0.154133i | ||||
\(963\) | 28.8623 | − | 11.7907i | 0.930075 | − | 0.379949i | ||||
\(964\) | 2.72052 | − | 10.1531i | 0.0876220 | − | 0.327010i | ||||
\(965\) | 7.57902 | + | 4.37575i | 0.243977 | + | 0.140860i | ||||
\(966\) | −2.41109 | − | 8.02447i | −0.0775756 | − | 0.258183i | ||||
\(967\) | 17.1848 | + | 17.1848i | 0.552625 | + | 0.552625i | 0.927198 | − | 0.374573i | \(-0.122211\pi\) |
−0.374573 | + | 0.927198i | \(0.622211\pi\) | |||||||
\(968\) | −5.19088 | + | 5.19088i | −0.166841 | + | 0.166841i | ||||
\(969\) | 4.25169 | − | 0.834948i | 0.136584 | − | 0.0268224i | ||||
\(970\) | −35.3988 | − | 9.48508i | −1.13659 | − | 0.304547i | ||||
\(971\) | 58.4967i | 1.87725i | 0.344941 | + | 0.938624i | \(0.387899\pi\) | ||||
−0.344941 | + | 0.938624i | \(0.612101\pi\) | |||||||
\(972\) | 10.1346 | + | 11.8444i | 0.325068 | + | 0.379909i | ||||
\(973\) | 15.6370 | + | 21.8307i | 0.501299 | + | 0.699861i | ||||
\(974\) | −13.1238 | −0.420513 | ||||||||
\(975\) | 42.7601 | + | 75.3725i | 1.36942 | + | 2.41385i | ||||
\(976\) | 5.15096 | + | 8.92173i | 0.164878 | + | 0.285578i | ||||
\(977\) | −26.9776 | + | 26.9776i | −0.863088 | + | 0.863088i | −0.991696 | − | 0.128607i | \(-0.958949\pi\) |
0.128607 | + | 0.991696i | \(0.458949\pi\) | |||||||
\(978\) | −14.5138 | + | 7.11351i | −0.464101 | + | 0.227465i | ||||
\(979\) | 20.4280 | − | 11.7941i | 0.652881 | − | 0.376941i | ||||
\(980\) | 2.00135 | − | 30.3468i | 0.0639307 | − | 0.969394i | ||||
\(981\) | −9.77439 | + | 23.2759i | −0.312072 | + | 0.743144i | ||||
\(982\) | 4.64559 | − | 4.64559i | 0.148247 | − | 0.148247i | ||||
\(983\) | −5.83696 | + | 21.7838i | −0.186170 | + | 0.694796i | 0.808207 | + | 0.588899i | \(0.200438\pi\) |
−0.994377 | + | 0.105898i | \(0.966228\pi\) | |||||||
\(984\) | 2.74348 | − | 4.08433i | 0.0874590 | − | 0.130204i | ||||
\(985\) | −25.7410 | + | 14.8616i | −0.820175 | + | 0.473528i | ||||
\(986\) | −5.17530 | + | 1.38672i | −0.164815 | + | 0.0441621i | ||||
\(987\) | −1.99439 | + | 0.599248i | −0.0634820 | + | 0.0190743i | ||||
\(988\) | −12.1640 | + | 4.05977i | −0.386988 | + | 0.129158i | ||||
\(989\) | −6.04345 | − | 3.48918i | −0.192170 | − | 0.110950i | ||||
\(990\) | −19.8537 | + | 15.0811i | −0.630993 | + | 0.479310i | ||||
\(991\) | −20.2315 | −0.642675 | −0.321338 | − | 0.946965i | \(-0.604132\pi\) | ||||
−0.321338 | + | 0.946965i | \(0.604132\pi\) | |||||||
\(992\) | −7.52398 | −0.238887 | ||||||||
\(993\) | 32.8064 | + | 37.5929i | 1.04108 | + | 1.19298i | ||||
\(994\) | 31.8289 | + | 14.4292i | 1.00955 | + | 0.457668i | ||||
\(995\) | −23.0491 | + | 86.0204i | −0.730705 | + | 2.72703i | ||||
\(996\) | −2.33323 | + | 0.458201i | −0.0739313 | + | 0.0145186i | ||||
\(997\) | 21.6297 | − | 37.4637i | 0.685018 | − | 1.18649i | −0.288413 | − | 0.957506i | \(-0.593128\pi\) |
0.973431 | − | 0.228980i | \(-0.0735391\pi\) | |||||||
\(998\) | 35.1750 | 1.11344 | ||||||||
\(999\) | 6.88204 | + | 3.45663i | 0.217738 | + | 0.109363i |
(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 | 546.2.bw.a.527.19 | yes | 152 | |
3.2 | odd | 2 | inner | 546.2.bw.a.527.38 | yes | 152 | |
7.4 | even | 3 | 546.2.ch.a.137.26 | yes | 152 | ||
13.2 | odd | 12 | 546.2.ch.a.275.7 | yes | 152 | ||
21.11 | odd | 6 | 546.2.ch.a.137.7 | yes | 152 | ||
39.2 | even | 12 | 546.2.ch.a.275.26 | yes | 152 | ||
91.67 | odd | 12 | inner | 546.2.bw.a.431.38 | yes | 152 | |
273.158 | even | 12 | inner | 546.2.bw.a.431.19 | ✓ | 152 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bw.a.431.19 | ✓ | 152 | 273.158 | even | 12 | inner | |
546.2.bw.a.431.38 | yes | 152 | 91.67 | odd | 12 | inner | |
546.2.bw.a.527.19 | yes | 152 | 1.1 | even | 1 | trivial | |
546.2.bw.a.527.38 | yes | 152 | 3.2 | odd | 2 | inner | |
546.2.ch.a.137.7 | yes | 152 | 21.11 | odd | 6 | ||
546.2.ch.a.137.26 | yes | 152 | 7.4 | even | 3 | ||
546.2.ch.a.275.7 | yes | 152 | 13.2 | odd | 12 | ||
546.2.ch.a.275.26 | yes | 152 | 39.2 | even | 12 |