Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(185,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.185");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.u (of order \(6\), degree \(2\), 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: | \(76\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 185.9 | ||
Character | \(\chi\) | \(=\) | 546.185 |
Dual form | 546.2.u.a.425.9 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | − | 0.500000i | −0.612372 | − | 0.353553i | ||||
\(3\) | −0.219501 | − | 1.71809i | −0.126729 | − | 0.991937i | ||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | 0.356048 | + | 0.616693i | 0.159229 | + | 0.275793i | 0.934591 | − | 0.355724i | \(-0.115766\pi\) |
−0.775362 | + | 0.631518i | \(0.782432\pi\) | |||||||
\(6\) | −0.668950 | + | 1.59766i | −0.273098 | + | 0.652241i | ||||
\(7\) | −2.23074 | − | 1.42260i | −0.843140 | − | 0.537694i | ||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | −2.90364 | + | 0.754242i | −0.967880 | + | 0.251414i | ||||
\(10\) | − | 0.712096i | − | 0.225184i | ||||||
\(11\) | 5.62302i | 1.69540i | 0.530473 | + | 0.847702i | \(0.322014\pi\) | ||||
−0.530473 | + | 0.847702i | \(0.677986\pi\) | |||||||
\(12\) | 1.37816 | − | 1.04914i | 0.397839 | − | 0.302860i | ||||
\(13\) | −3.20052 | − | 1.66032i | −0.887665 | − | 0.460490i | ||||
\(14\) | 1.22057 | + | 2.34738i | 0.326212 | + | 0.627364i | ||||
\(15\) | 0.981379 | − | 0.747085i | 0.253391 | − | 0.192897i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 0.965215 | + | 1.67180i | 0.234099 | + | 0.405472i | 0.959010 | − | 0.283371i | \(-0.0914527\pi\) |
−0.724911 | + | 0.688842i | \(0.758119\pi\) | |||||||
\(18\) | 2.89175 | + | 0.798626i | 0.681591 | + | 0.188238i | ||||
\(19\) | 5.54996i | 1.27325i | 0.771174 | + | 0.636625i | \(0.219670\pi\) | ||||
−0.771174 | + | 0.636625i | \(0.780330\pi\) | |||||||
\(20\) | −0.356048 | + | 0.616693i | −0.0796147 | + | 0.137897i | ||||
\(21\) | −1.95451 | + | 4.14486i | −0.426508 | + | 0.904484i | ||||
\(22\) | 2.81151 | − | 4.86968i | 0.599416 | − | 1.03822i | ||||
\(23\) | −6.23701 | − | 3.60094i | −1.30051 | − | 0.750847i | −0.320015 | − | 0.947412i | \(-0.603688\pi\) |
−0.980491 | + | 0.196565i | \(0.937021\pi\) | |||||||
\(24\) | −1.71809 | + | 0.219501i | −0.350703 | + | 0.0448054i | ||||
\(25\) | 2.24646 | − | 3.89098i | 0.449292 | − | 0.778197i | ||||
\(26\) | 1.94157 | + | 3.03814i | 0.380774 | + | 0.595828i | ||||
\(27\) | 1.93320 | + | 4.82314i | 0.372045 | + | 0.928215i | ||||
\(28\) | 0.116641 | − | 2.64318i | 0.0220432 | − | 0.499514i | ||||
\(29\) | −7.73245 | + | 4.46433i | −1.43588 | + | 0.829006i | −0.997560 | − | 0.0698128i | \(-0.977760\pi\) |
−0.438320 | + | 0.898819i | \(0.644426\pi\) | |||||||
\(30\) | −1.22344 | + | 0.156306i | −0.223369 | + | 0.0285374i | ||||
\(31\) | 0.0986994 | + | 0.0569841i | 0.0177269 | + | 0.0102347i | 0.508837 | − | 0.860863i | \(-0.330075\pi\) |
−0.491110 | + | 0.871097i | \(0.663409\pi\) | |||||||
\(32\) | 0.866025 | − | 0.500000i | 0.153093 | − | 0.0883883i | ||||
\(33\) | 9.66083 | − | 1.23426i | 1.68173 | − | 0.214857i | ||||
\(34\) | − | 1.93043i | − | 0.331066i | ||||||
\(35\) | 0.0830599 | − | 1.88220i | 0.0140397 | − | 0.318149i | ||||
\(36\) | −2.10501 | − | 2.13750i | −0.350835 | − | 0.356251i | ||||
\(37\) | 2.54313 | − | 4.40483i | 0.418088 | − | 0.724150i | −0.577659 | − | 0.816278i | \(-0.696034\pi\) |
0.995747 | + | 0.0921282i | \(0.0293670\pi\) | |||||||
\(38\) | 2.77498 | − | 4.80641i | 0.450162 | − | 0.779703i | ||||
\(39\) | −2.15006 | + | 5.86321i | −0.344285 | + | 0.938865i | ||||
\(40\) | 0.616693 | − | 0.356048i | 0.0975077 | − | 0.0562961i | ||||
\(41\) | 1.05781 | + | 1.83218i | 0.165202 | + | 0.286139i | 0.936727 | − | 0.350060i | \(-0.113839\pi\) |
−0.771525 | + | 0.636199i | \(0.780506\pi\) | |||||||
\(42\) | 3.76508 | − | 2.61230i | 0.580965 | − | 0.403087i | ||||
\(43\) | −4.02736 | + | 6.97559i | −0.614166 | + | 1.06377i | 0.376364 | + | 0.926472i | \(0.377174\pi\) |
−0.990530 | + | 0.137295i | \(0.956159\pi\) | |||||||
\(44\) | −4.86968 | + | 2.81151i | −0.734132 | + | 0.423851i | ||||
\(45\) | −1.49897 | − | 1.52211i | −0.223453 | − | 0.226902i | ||||
\(46\) | 3.60094 | + | 6.23701i | 0.530929 | + | 0.919596i | ||||
\(47\) | 2.78358 | + | 4.82130i | 0.406026 | + | 0.703258i | 0.994440 | − | 0.105301i | \(-0.0335808\pi\) |
−0.588414 | + | 0.808560i | \(0.700247\pi\) | |||||||
\(48\) | 1.59766 | + | 0.668950i | 0.230602 | + | 0.0965546i | ||||
\(49\) | 2.95240 | + | 6.34692i | 0.421771 | + | 0.906702i | ||||
\(50\) | −3.89098 | + | 2.24646i | −0.550268 | + | 0.317697i | ||||
\(51\) | 2.66043 | − | 2.02528i | 0.372535 | − | 0.283597i | ||||
\(52\) | −0.162381 | − | 3.60189i | −0.0225182 | − | 0.499493i | ||||
\(53\) | 1.94065 | + | 1.12043i | 0.266569 | + | 0.153904i | 0.627327 | − | 0.778756i | \(-0.284149\pi\) |
−0.360759 | + | 0.932659i | \(0.617482\pi\) | |||||||
\(54\) | 0.737369 | − | 5.14357i | 0.100343 | − | 0.699951i | ||||
\(55\) | −3.46768 | + | 2.00206i | −0.467581 | + | 0.269958i | ||||
\(56\) | −1.42260 | + | 2.23074i | −0.190103 | + | 0.298095i | ||||
\(57\) | 9.53532 | − | 1.21822i | 1.26298 | − | 0.161357i | ||||
\(58\) | 8.92867 | 1.17239 | ||||||||
\(59\) | 2.64976 | + | 4.58951i | 0.344969 | + | 0.597503i | 0.985348 | − | 0.170555i | \(-0.0545562\pi\) |
−0.640379 | + | 0.768059i | \(0.721223\pi\) | |||||||
\(60\) | 1.13768 | + | 0.476356i | 0.146874 | + | 0.0614973i | ||||
\(61\) | − | 5.75535i | − | 0.736897i | −0.929648 | − | 0.368448i | \(-0.879889\pi\) | ||
0.929648 | − | 0.368448i | \(-0.120111\pi\) | |||||||
\(62\) | −0.0569841 | − | 0.0986994i | −0.00723699 | − | 0.0125348i | ||||
\(63\) | 7.55025 | + | 2.44821i | 0.951242 | + | 0.308445i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −0.115631 | − | 2.56489i | −0.0143422 | − | 0.318136i | ||||
\(66\) | −8.98365 | − | 3.76152i | −1.10581 | − | 0.463011i | ||||
\(67\) | −3.54009 | −0.432490 | −0.216245 | − | 0.976339i | \(-0.569381\pi\) | ||||
−0.216245 | + | 0.976339i | \(0.569381\pi\) | |||||||
\(68\) | −0.965215 | + | 1.67180i | −0.117050 | + | 0.202736i | ||||
\(69\) | −4.81769 | + | 11.5061i | −0.579982 | + | 1.38517i | ||||
\(70\) | −1.01303 | + | 1.58850i | −0.121080 | + | 0.189862i | ||||
\(71\) | −5.97185 | − | 3.44785i | −0.708728 | − | 0.409184i | 0.101862 | − | 0.994799i | \(-0.467520\pi\) |
−0.810590 | + | 0.585614i | \(0.800853\pi\) | |||||||
\(72\) | 0.754242 | + | 2.90364i | 0.0888883 | + | 0.342197i | ||||
\(73\) | 8.54660 | + | 4.93438i | 1.00030 | + | 0.577525i | 0.908338 | − | 0.418237i | \(-0.137352\pi\) |
0.0919654 | + | 0.995762i | \(0.470685\pi\) | |||||||
\(74\) | −4.40483 | + | 2.54313i | −0.512051 | + | 0.295633i | ||||
\(75\) | −7.17814 | − | 3.00554i | −0.828860 | − | 0.347050i | ||||
\(76\) | −4.80641 | + | 2.77498i | −0.551333 | + | 0.318312i | ||||
\(77\) | 7.99933 | − | 12.5435i | 0.911608 | − | 1.42946i | ||||
\(78\) | 4.79361 | − | 4.00266i | 0.542769 | − | 0.453212i | ||||
\(79\) | 0.594003 | + | 1.02884i | 0.0668306 | + | 0.115754i | 0.897505 | − | 0.441005i | \(-0.145378\pi\) |
−0.830674 | + | 0.556759i | \(0.812045\pi\) | |||||||
\(80\) | −0.712096 | −0.0796147 | ||||||||
\(81\) | 7.86224 | − | 4.38009i | 0.873582 | − | 0.486677i | ||||
\(82\) | − | 2.11562i | − | 0.233631i | ||||||
\(83\) | −17.8477 | −1.95904 | −0.979519 | − | 0.201350i | \(-0.935467\pi\) | ||||
−0.979519 | + | 0.201350i | \(0.935467\pi\) | |||||||
\(84\) | −4.56681 | + | 0.379780i | −0.498280 | + | 0.0414374i | ||||
\(85\) | −0.687326 | + | 1.19048i | −0.0745509 | + | 0.129126i | ||||
\(86\) | 6.97559 | − | 4.02736i | 0.752197 | − | 0.434281i | ||||
\(87\) | 9.36739 | + | 12.3051i | 1.00429 | + | 1.31924i | ||||
\(88\) | 5.62302 | 0.599416 | ||||||||
\(89\) | 5.78541 | − | 10.0206i | 0.613252 | − | 1.06218i | −0.377437 | − | 0.926035i | \(-0.623194\pi\) |
0.990689 | − | 0.136148i | \(-0.0434723\pi\) | |||||||
\(90\) | 0.537093 | + | 2.06767i | 0.0566145 | + | 0.217951i | ||||
\(91\) | 4.77755 | + | 8.25682i | 0.500823 | + | 0.865550i | ||||
\(92\) | − | 7.20187i | − | 0.750847i | ||||||
\(93\) | 0.0762391 | − | 0.182082i | 0.00790562 | − | 0.0188810i | ||||
\(94\) | − | 5.56715i | − | 0.574208i | ||||||
\(95\) | −3.42262 | + | 1.97605i | −0.351154 | + | 0.202739i | ||||
\(96\) | −1.04914 | − | 1.37816i | −0.107077 | − | 0.140657i | ||||
\(97\) | −7.57611 | − | 4.37407i | −0.769238 | − | 0.444120i | 0.0633648 | − | 0.997990i | \(-0.479817\pi\) |
−0.832603 | + | 0.553871i | \(0.813150\pi\) | |||||||
\(98\) | 0.616609 | − | 6.97279i | 0.0622869 | − | 0.704358i | ||||
\(99\) | −4.24112 | − | 16.3272i | −0.426248 | − | 1.64095i | ||||
\(100\) | 4.49292 | 0.449292 | ||||||||
\(101\) | −13.8469 | −1.37782 | −0.688911 | − | 0.724846i | \(-0.741911\pi\) | ||||
−0.688911 | + | 0.724846i | \(0.741911\pi\) | |||||||
\(102\) | −3.31665 | + | 0.423731i | −0.328397 | + | 0.0419556i | ||||
\(103\) | −12.2515 | + | 7.07342i | −1.20718 | + | 0.696965i | −0.962142 | − | 0.272549i | \(-0.912133\pi\) |
−0.245037 | + | 0.969514i | \(0.578800\pi\) | |||||||
\(104\) | −1.66032 | + | 3.20052i | −0.162808 | + | 0.313837i | ||||
\(105\) | −3.25201 | + | 0.270439i | −0.317363 | + | 0.0263922i | ||||
\(106\) | −1.12043 | − | 1.94065i | −0.108826 | − | 0.188493i | ||||
\(107\) | −1.81959 | − | 1.05054i | −0.175907 | − | 0.101560i | 0.409461 | − | 0.912327i | \(-0.365717\pi\) |
−0.585368 | + | 0.810768i | \(0.699050\pi\) | |||||||
\(108\) | −3.21036 | + | 4.08578i | −0.308917 | + | 0.393154i | ||||
\(109\) | 5.57572 | − | 9.65742i | 0.534057 | − | 0.925013i | −0.465152 | − | 0.885231i | \(-0.654000\pi\) |
0.999208 | − | 0.0397824i | \(-0.0126665\pi\) | |||||||
\(110\) | 4.00413 | 0.381779 | ||||||||
\(111\) | −8.12610 | − | 3.40245i | −0.771295 | − | 0.322947i | ||||
\(112\) | 2.34738 | − | 1.22057i | 0.221807 | − | 0.115333i | ||||
\(113\) | −16.4734 | − | 9.51093i | −1.54969 | − | 0.894713i | −0.998165 | − | 0.0605544i | \(-0.980713\pi\) |
−0.551524 | − | 0.834159i | \(-0.685954\pi\) | |||||||
\(114\) | −8.86694 | − | 3.71265i | −0.830465 | − | 0.347721i | ||||
\(115\) | − | 5.12842i | − | 0.478228i | ||||||
\(116\) | −7.73245 | − | 4.46433i | −0.717940 | − | 0.414503i | ||||
\(117\) | 10.5454 | + | 2.40700i | 0.974926 | + | 0.222527i | ||||
\(118\) | − | 5.29951i | − | 0.487859i | ||||||
\(119\) | 0.225168 | − | 5.10247i | 0.0206411 | − | 0.467743i | ||||
\(120\) | −0.747085 | − | 0.981379i | −0.0681993 | − | 0.0895872i | ||||
\(121\) | −20.6183 | −1.87440 | ||||||||
\(122\) | −2.87767 | + | 4.98428i | −0.260532 | + | 0.451255i | ||||
\(123\) | 2.91566 | − | 2.21958i | 0.262896 | − | 0.200132i | ||||
\(124\) | 0.113968i | 0.0102347i | ||||||||
\(125\) | 6.75987 | 0.604621 | ||||||||
\(126\) | −5.31460 | − | 5.89534i | −0.473462 | − | 0.525198i | ||||
\(127\) | −7.11167 | − | 12.3178i | −0.631059 | − | 1.09303i | −0.987336 | − | 0.158645i | \(-0.949287\pi\) |
0.356277 | − | 0.934380i | \(-0.384046\pi\) | |||||||
\(128\) | 0.866025 | + | 0.500000i | 0.0765466 | + | 0.0441942i | ||||
\(129\) | 12.8687 | + | 5.38820i | 1.13302 | + | 0.474404i | ||||
\(130\) | −1.18231 | + | 2.27908i | −0.103695 | + | 0.199888i | ||||
\(131\) | −0.0931423 | − | 0.161327i | −0.00813788 | − | 0.0140952i | 0.861928 | − | 0.507031i | \(-0.169257\pi\) |
−0.870066 | + | 0.492936i | \(0.835924\pi\) | |||||||
\(132\) | 5.89931 | + | 7.74940i | 0.513469 | + | 0.674498i | ||||
\(133\) | 7.89540 | − | 12.3805i | 0.684618 | − | 1.07353i | ||||
\(134\) | 3.06580 | + | 1.77004i | 0.264845 | + | 0.152908i | ||||
\(135\) | −2.28609 | + | 2.90946i | −0.196755 | + | 0.250407i | ||||
\(136\) | 1.67180 | − | 0.965215i | 0.143356 | − | 0.0827665i | ||||
\(137\) | 3.96537 | − | 2.28941i | 0.338784 | − | 0.195597i | −0.320950 | − | 0.947096i | \(-0.604002\pi\) |
0.659734 | + | 0.751499i | \(0.270669\pi\) | |||||||
\(138\) | 9.92530 | − | 7.55575i | 0.844898 | − | 0.643188i | ||||
\(139\) | 9.28884 | + | 5.36291i | 0.787869 | + | 0.454876i | 0.839212 | − | 0.543805i | \(-0.183017\pi\) |
−0.0513428 | + | 0.998681i | \(0.516350\pi\) | |||||||
\(140\) | 1.67156 | − | 0.869166i | 0.141273 | − | 0.0734579i | ||||
\(141\) | 7.67240 | − | 5.84070i | 0.646133 | − | 0.491876i | ||||
\(142\) | 3.44785 | + | 5.97185i | 0.289337 | + | 0.501146i | ||||
\(143\) | 9.33601 | − | 17.9966i | 0.780717 | − | 1.50495i | ||||
\(144\) | 0.798626 | − | 2.89175i | 0.0665522 | − | 0.240979i | ||||
\(145\) | −5.50625 | − | 3.17903i | −0.457269 | − | 0.264004i | ||||
\(146\) | −4.93438 | − | 8.54660i | −0.408372 | − | 0.707321i | ||||
\(147\) | 10.2565 | − | 6.46562i | 0.845942 | − | 0.533276i | ||||
\(148\) | 5.08626 | 0.418088 | ||||||||
\(149\) | 22.1034i | 1.81078i | 0.424583 | + | 0.905389i | \(0.360421\pi\) | ||||
−0.424583 | + | 0.905389i | \(0.639579\pi\) | |||||||
\(150\) | 4.71368 | + | 6.19194i | 0.384871 | + | 0.505570i | ||||
\(151\) | 1.46229 | − | 2.53277i | 0.119000 | − | 0.206114i | −0.800372 | − | 0.599504i | \(-0.795365\pi\) |
0.919372 | + | 0.393390i | \(0.128698\pi\) | |||||||
\(152\) | 5.54996 | 0.450162 | ||||||||
\(153\) | −4.06358 | − | 4.12630i | −0.328521 | − | 0.333592i | ||||
\(154\) | −13.1994 | + | 6.86332i | −1.06364 | + | 0.553062i | ||||
\(155\) | 0.0811563i | 0.00651863i | ||||||||
\(156\) | −6.15272 | + | 1.06960i | −0.492612 | + | 0.0856367i | ||||
\(157\) | 1.09503 | + | 0.632216i | 0.0873929 | + | 0.0504563i | 0.543060 | − | 0.839694i | \(-0.317266\pi\) |
−0.455667 | + | 0.890150i | \(0.650599\pi\) | |||||||
\(158\) | − | 1.18801i | − | 0.0945127i | ||||||
\(159\) | 1.49903 | − | 3.58014i | 0.118881 | − | 0.283923i | ||||
\(160\) | 0.616693 | + | 0.356048i | 0.0487539 | + | 0.0281481i | ||||
\(161\) | 8.79043 | + | 16.9055i | 0.692783 | + | 1.33234i | ||||
\(162\) | −8.99894 | − | 0.137846i | −0.707024 | − | 0.0108302i | ||||
\(163\) | −0.255421 | −0.0200062 | −0.0100031 | − | 0.999950i | \(-0.503184\pi\) | ||||
−0.0100031 | + | 0.999950i | \(0.503184\pi\) | |||||||
\(164\) | −1.05781 | + | 1.83218i | −0.0826012 | + | 0.143069i | ||||
\(165\) | 4.20088 | + | 5.51831i | 0.327038 | + | 0.429600i | ||||
\(166\) | 15.4566 | + | 8.92385i | 1.19966 | + | 0.692625i | ||||
\(167\) | 7.20942 | + | 12.4871i | 0.557882 | + | 0.966279i | 0.997673 | + | 0.0681793i | \(0.0217190\pi\) |
−0.439792 | + | 0.898100i | \(0.644948\pi\) | |||||||
\(168\) | 4.14486 | + | 1.95451i | 0.319783 | + | 0.150793i | ||||
\(169\) | 7.48667 | + | 10.6278i | 0.575898 | + | 0.817522i | ||||
\(170\) | 1.19048 | − | 0.687326i | 0.0913059 | − | 0.0527155i | ||||
\(171\) | −4.18602 | − | 16.1151i | −0.320113 | − | 1.23235i | ||||
\(172\) | −8.05471 | −0.614166 | ||||||||
\(173\) | 8.57771 | 0.652151 | 0.326075 | − | 0.945344i | \(-0.394274\pi\) | ||||
0.326075 | + | 0.945344i | \(0.394274\pi\) | |||||||
\(174\) | −1.95985 | − | 15.3402i | −0.148576 | − | 1.16294i | ||||
\(175\) | −10.5466 | + | 5.48395i | −0.797248 | + | 0.414547i | ||||
\(176\) | −4.86968 | − | 2.81151i | −0.367066 | − | 0.211926i | ||||
\(177\) | 7.30355 | − | 5.55991i | 0.548968 | − | 0.417908i | ||||
\(178\) | −10.0206 | + | 5.78541i | −0.751077 | + | 0.433635i | ||||
\(179\) | − | 18.4544i | − | 1.37934i | −0.724122 | − | 0.689672i | \(-0.757755\pi\) | ||
0.724122 | − | 0.689672i | \(-0.242245\pi\) | |||||||
\(180\) | 0.568698 | − | 2.05920i | 0.0423883 | − | 0.153484i | ||||
\(181\) | − | 8.57986i | − | 0.637736i | −0.947799 | − | 0.318868i | \(-0.896697\pi\) | ||
0.947799 | − | 0.318868i | \(-0.103303\pi\) | |||||||
\(182\) | −0.00907193 | − | 9.53939i | −0.000672456 | − | 0.707106i | ||||
\(183\) | −9.88818 | + | 1.26330i | −0.730956 | + | 0.0933861i | ||||
\(184\) | −3.60094 | + | 6.23701i | −0.265465 | + | 0.459798i | ||||
\(185\) | 3.62191 | 0.266288 | ||||||||
\(186\) | −0.157066 | + | 0.119568i | −0.0115166 | + | 0.00876717i | ||||
\(187\) | −9.40057 | + | 5.42742i | −0.687438 | + | 0.396893i | ||||
\(188\) | −2.78358 | + | 4.82130i | −0.203013 | + | 0.351629i | ||||
\(189\) | 2.54895 | − | 13.5094i | 0.185409 | − | 0.982661i | ||||
\(190\) | 3.95211 | 0.286716 | ||||||||
\(191\) | − | 9.48655i | − | 0.686423i | −0.939258 | − | 0.343211i | \(-0.888485\pi\) | ||
0.939258 | − | 0.343211i | \(-0.111515\pi\) | |||||||
\(192\) | 0.219501 | + | 1.71809i | 0.0158411 | + | 0.123992i | ||||
\(193\) | −12.8562 | −0.925410 | −0.462705 | − | 0.886512i | \(-0.653121\pi\) | ||||
−0.462705 | + | 0.886512i | \(0.653121\pi\) | |||||||
\(194\) | 4.37407 | + | 7.57611i | 0.314040 | + | 0.543933i | ||||
\(195\) | −4.38132 | + | 0.761659i | −0.313753 | + | 0.0545436i | ||||
\(196\) | −4.02039 | + | 5.73031i | −0.287171 | + | 0.409308i | ||||
\(197\) | 2.96565 | − | 1.71222i | 0.211294 | − | 0.121991i | −0.390619 | − | 0.920553i | \(-0.627739\pi\) |
0.601913 | + | 0.798562i | \(0.294406\pi\) | |||||||
\(198\) | −4.49069 | + | 16.2603i | −0.319140 | + | 1.15557i | ||||
\(199\) | 3.23419 | − | 1.86726i | 0.229265 | − | 0.132366i | −0.380968 | − | 0.924588i | \(-0.624409\pi\) |
0.610233 | + | 0.792222i | \(0.291076\pi\) | |||||||
\(200\) | −3.89098 | − | 2.24646i | −0.275134 | − | 0.158849i | ||||
\(201\) | 0.777051 | + | 6.08217i | 0.0548090 | + | 0.429003i | ||||
\(202\) | 11.9918 | + | 6.92347i | 0.843740 | + | 0.487133i | ||||
\(203\) | 23.6001 | + | 1.04145i | 1.65640 | + | 0.0730957i | ||||
\(204\) | 3.08416 | + | 1.29136i | 0.215935 | + | 0.0904134i | ||||
\(205\) | −0.753263 | + | 1.30469i | −0.0526102 | + | 0.0911235i | ||||
\(206\) | 14.1468 | 0.985658 | ||||||||
\(207\) | 20.8260 | + | 5.75161i | 1.44751 | + | 0.399764i | ||||
\(208\) | 3.03814 | − | 1.94157i | 0.210657 | − | 0.134624i | ||||
\(209\) | −31.2076 | −2.15867 | ||||||||
\(210\) | 2.95154 | + | 1.39180i | 0.203676 | + | 0.0960430i | ||||
\(211\) | −4.16920 | − | 7.22126i | −0.287020 | − | 0.497132i | 0.686077 | − | 0.727529i | \(-0.259331\pi\) |
−0.973097 | + | 0.230396i | \(0.925998\pi\) | |||||||
\(212\) | 2.24087i | 0.153904i | ||||||||
\(213\) | −4.61287 | + | 11.0170i | −0.316069 | + | 0.754869i | ||||
\(214\) | 1.05054 | + | 1.81959i | 0.0718136 | + | 0.124385i | ||||
\(215\) | −5.73573 | −0.391173 | ||||||||
\(216\) | 4.82314 | − | 1.93320i | 0.328173 | − | 0.131538i | ||||
\(217\) | −0.139107 | − | 0.267527i | −0.00944319 | − | 0.0181609i | ||||
\(218\) | −9.65742 | + | 5.57572i | −0.654083 | + | 0.377635i | ||||
\(219\) | 6.60170 | − | 15.7669i | 0.446102 | − | 1.06543i | ||||
\(220\) | −3.46768 | − | 2.00206i | −0.233791 | − | 0.134979i | ||||
\(221\) | −0.313465 | − | 6.95320i | −0.0210860 | − | 0.467723i | ||||
\(222\) | 5.33618 | + | 7.00966i | 0.358141 | + | 0.470458i | ||||
\(223\) | −7.22474 | + | 4.17120i | −0.483804 | + | 0.279325i | −0.722001 | − | 0.691893i | \(-0.756777\pi\) |
0.238196 | + | 0.971217i | \(0.423444\pi\) | |||||||
\(224\) | −2.64318 | − | 0.116641i | −0.176605 | − | 0.00779344i | ||||
\(225\) | −3.58816 | + | 12.9924i | −0.239211 | + | 0.866159i | ||||
\(226\) | 9.51093 | + | 16.4734i | 0.632658 | + | 1.09580i | ||||
\(227\) | 5.79685 | + | 10.0404i | 0.384750 | + | 0.666407i | 0.991735 | − | 0.128307i | \(-0.0409542\pi\) |
−0.606984 | + | 0.794714i | \(0.707621\pi\) | |||||||
\(228\) | 5.82267 | + | 7.64872i | 0.385616 | + | 0.506549i | ||||
\(229\) | −8.81586 | + | 5.08984i | −0.582568 | + | 0.336346i | −0.762153 | − | 0.647396i | \(-0.775858\pi\) |
0.179585 | + | 0.983742i | \(0.442524\pi\) | |||||||
\(230\) | −2.56421 | + | 4.44135i | −0.169079 | + | 0.292854i | ||||
\(231\) | −23.3067 | − | 10.9902i | −1.53347 | − | 0.723104i | ||||
\(232\) | 4.46433 | + | 7.73245i | 0.293098 | + | 0.507660i | ||||
\(233\) | −6.98379 | + | 4.03209i | −0.457523 | + | 0.264151i | −0.711002 | − | 0.703190i | \(-0.751758\pi\) |
0.253479 | + | 0.967341i | \(0.418425\pi\) | |||||||
\(234\) | −7.92912 | − | 7.35725i | −0.518343 | − | 0.480958i | ||||
\(235\) | −1.98217 | + | 3.43322i | −0.129303 | + | 0.223959i | ||||
\(236\) | −2.64976 | + | 4.58951i | −0.172484 | + | 0.298752i | ||||
\(237\) | 1.63726 | − | 1.24638i | 0.106351 | − | 0.0809611i | ||||
\(238\) | −2.74624 | + | 4.30629i | −0.178012 | + | 0.279135i | ||||
\(239\) | 3.86761i | 0.250175i | 0.992146 | + | 0.125087i | \(0.0399211\pi\) | ||||
−0.992146 | + | 0.125087i | \(0.960079\pi\) | |||||||
\(240\) | 0.156306 | + | 1.22344i | 0.0100895 | + | 0.0789728i | ||||
\(241\) | 8.01620 | − | 4.62815i | 0.516369 | − | 0.298126i | −0.219079 | − | 0.975707i | \(-0.570305\pi\) |
0.735448 | + | 0.677582i | \(0.236972\pi\) | |||||||
\(242\) | 17.8560 | + | 10.3092i | 1.14783 | + | 0.662699i | ||||
\(243\) | −9.25115 | − | 12.5466i | −0.593461 | − | 0.804863i | ||||
\(244\) | 4.98428 | − | 2.87767i | 0.319086 | − | 0.184224i | ||||
\(245\) | −2.86290 | + | 4.08053i | −0.182904 | + | 0.260695i | ||||
\(246\) | −3.63482 | + | 0.464381i | −0.231748 | + | 0.0296078i | ||||
\(247\) | 9.21472 | − | 17.7628i | 0.586319 | − | 1.13022i | ||||
\(248\) | 0.0569841 | − | 0.0986994i | 0.00361850 | − | 0.00626742i | ||||
\(249\) | 3.91758 | + | 30.6639i | 0.248267 | + | 1.94324i | ||||
\(250\) | −5.85422 | − | 3.37993i | −0.370253 | − | 0.213766i | ||||
\(251\) | −10.6853 | + | 18.5075i | −0.674451 | + | 1.16818i | 0.302178 | + | 0.953251i | \(0.402286\pi\) |
−0.976629 | + | 0.214932i | \(0.931047\pi\) | |||||||
\(252\) | 1.65491 | + | 7.76281i | 0.104250 | + | 0.489011i | ||||
\(253\) | 20.2481 | − | 35.0708i | 1.27299 | − | 2.20488i | ||||
\(254\) | 14.2233i | 0.892452i | ||||||||
\(255\) | 2.19622 | + | 0.919573i | 0.137533 | + | 0.0575859i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −11.2072 | + | 19.4114i | −0.699086 | + | 1.21085i | 0.269698 | + | 0.962945i | \(0.413076\pi\) |
−0.968784 | + | 0.247907i | \(0.920257\pi\) | |||||||
\(258\) | −8.45049 | − | 11.1007i | −0.526105 | − | 0.691096i | ||||
\(259\) | −11.9394 | + | 6.20817i | −0.741878 | + | 0.385757i | ||||
\(260\) | 2.16345 | − | 1.38259i | 0.134171 | − | 0.0857443i | ||||
\(261\) | 19.0851 | − | 18.7950i | 1.18134 | − | 1.16338i | ||||
\(262\) | 0.186285i | 0.0115087i | ||||||||
\(263\) | − | 15.2564i | − | 0.940751i | −0.882466 | − | 0.470375i | \(-0.844119\pi\) | ||
0.882466 | − | 0.470375i | \(-0.155881\pi\) | |||||||
\(264\) | −1.23426 | − | 9.66083i | −0.0759633 | − | 0.594583i | ||||
\(265\) | 1.59571i | 0.0980239i | ||||||||
\(266\) | −13.0279 | + | 6.77415i | −0.798791 | + | 0.415350i | ||||
\(267\) | −18.4862 | − | 7.74029i | −1.13134 | − | 0.473698i | ||||
\(268\) | −1.77004 | − | 3.06580i | −0.108123 | − | 0.187274i | ||||
\(269\) | 9.42887 | + | 16.3313i | 0.574888 | + | 0.995735i | 0.996054 | + | 0.0887517i | \(0.0282878\pi\) |
−0.421166 | + | 0.906984i | \(0.638379\pi\) | |||||||
\(270\) | 3.43454 | − | 1.37663i | 0.209019 | − | 0.0837788i | ||||
\(271\) | 15.4527 | + | 8.92161i | 0.938683 | + | 0.541949i | 0.889547 | − | 0.456843i | \(-0.151020\pi\) |
0.0491361 | + | 0.998792i | \(0.484353\pi\) | |||||||
\(272\) | −1.93043 | −0.117050 | ||||||||
\(273\) | 13.1372 | − | 10.0206i | 0.795102 | − | 0.606475i | ||||
\(274\) | −4.57881 | −0.276616 | ||||||||
\(275\) | 21.8791 | + | 12.6319i | 1.31936 | + | 0.761731i | ||||
\(276\) | −12.3734 | + | 1.58082i | −0.744794 | + | 0.0951540i | ||||
\(277\) | 14.2909 | + | 24.7526i | 0.858657 | + | 1.48724i | 0.873210 | + | 0.487343i | \(0.162034\pi\) |
−0.0145535 | + | 0.999894i | \(0.504633\pi\) | |||||||
\(278\) | −5.36291 | − | 9.28884i | −0.321646 | − | 0.557108i | ||||
\(279\) | −0.329567 | − | 0.0910181i | −0.0197307 | − | 0.00544911i | ||||
\(280\) | −1.88220 | − | 0.0830599i | −0.112483 | − | 0.00496378i | ||||
\(281\) | 0.0777640i | 0.00463901i | 0.999997 | + | 0.00231951i | \(0.000738323\pi\) | ||||
−0.999997 | + | 0.00231951i | \(0.999262\pi\) | |||||||
\(282\) | −9.56485 | + | 1.22199i | −0.569578 | + | 0.0727687i | ||||
\(283\) | 12.3765i | 0.735707i | 0.929884 | + | 0.367854i | \(0.119907\pi\) | ||||
−0.929884 | + | 0.367854i | \(0.880093\pi\) | |||||||
\(284\) | − | 6.89570i | − | 0.409184i | ||||||
\(285\) | 4.14630 | + | 5.44662i | 0.245605 | + | 0.322630i | ||||
\(286\) | −17.0835 | + | 10.9175i | −1.01017 | + | 0.645565i | ||||
\(287\) | 0.246769 | − | 5.59197i | 0.0145663 | − | 0.330083i | ||||
\(288\) | −2.13750 | + | 2.10501i | −0.125954 | + | 0.124039i | ||||
\(289\) | 6.63672 | − | 11.4951i | 0.390395 | − | 0.676184i | ||||
\(290\) | 3.17903 | + | 5.50625i | 0.186679 | + | 0.323338i | ||||
\(291\) | −5.85207 | + | 13.9765i | −0.343054 | + | 0.819319i | ||||
\(292\) | 9.86876i | 0.577525i | ||||||||
\(293\) | 9.97370 | − | 17.2750i | 0.582670 | − | 1.00921i | −0.412492 | − | 0.910961i | \(-0.635341\pi\) |
0.995162 | − | 0.0982523i | \(-0.0313252\pi\) | |||||||
\(294\) | −12.1152 | + | 0.471146i | −0.706573 | + | 0.0274778i | ||||
\(295\) | −1.88688 | + | 3.26817i | −0.109858 | + | 0.190280i | ||||
\(296\) | −4.40483 | − | 2.54313i | −0.256026 | − | 0.147817i | ||||
\(297\) | −27.1206 | + | 10.8704i | −1.57370 | + | 0.630767i | ||||
\(298\) | 11.0517 | − | 19.1421i | 0.640207 | − | 1.10887i | ||||
\(299\) | 13.9830 | + | 21.8803i | 0.808656 | + | 1.26537i | ||||
\(300\) | −0.986199 | − | 7.71922i | −0.0569382 | − | 0.445670i | ||||
\(301\) | 18.9075 | − | 9.83138i | 1.08981 | − | 0.566671i | ||||
\(302\) | −2.53277 | + | 1.46229i | −0.145744 | + | 0.0841456i | ||||
\(303\) | 3.03941 | + | 23.7902i | 0.174610 | + | 1.36671i | ||||
\(304\) | −4.80641 | − | 2.77498i | −0.275667 | − | 0.159156i | ||||
\(305\) | 3.54928 | − | 2.04918i | 0.203231 | − | 0.117336i | ||||
\(306\) | 1.45601 | + | 5.60527i | 0.0832347 | + | 0.320432i | ||||
\(307\) | 15.8955i | 0.907206i | 0.891204 | + | 0.453603i | \(0.149862\pi\) | ||||
−0.891204 | + | 0.453603i | \(0.850138\pi\) | |||||||
\(308\) | 14.8626 | + | 0.655877i | 0.846878 | + | 0.0373721i | ||||
\(309\) | 14.8420 | + | 19.4966i | 0.844330 | + | 1.10912i | ||||
\(310\) | 0.0405782 | − | 0.0702834i | 0.00230468 | − | 0.00399183i | ||||
\(311\) | 0.273994 | − | 0.474572i | 0.0155368 | − | 0.0269105i | −0.858152 | − | 0.513395i | \(-0.828388\pi\) |
0.873689 | + | 0.486484i | \(0.161721\pi\) | |||||||
\(312\) | 5.86321 | + | 2.15006i | 0.331939 | + | 0.121723i | ||||
\(313\) | −18.5777 | + | 10.7258i | −1.05007 | + | 0.606260i | −0.922670 | − | 0.385591i | \(-0.873998\pi\) |
−0.127404 | + | 0.991851i | \(0.540664\pi\) | |||||||
\(314\) | −0.632216 | − | 1.09503i | −0.0356780 | − | 0.0617961i | ||||
\(315\) | 1.17846 | + | 5.52787i | 0.0663985 | + | 0.311460i | ||||
\(316\) | −0.594003 | + | 1.02884i | −0.0334153 | + | 0.0578770i | ||||
\(317\) | −7.04632 | + | 4.06819i | −0.395761 | + | 0.228492i | −0.684653 | − | 0.728869i | \(-0.740046\pi\) |
0.288893 | + | 0.957362i | \(0.406713\pi\) | |||||||
\(318\) | −3.08827 | + | 2.35098i | −0.173181 | + | 0.131836i | ||||
\(319\) | −25.1030 | − | 43.4797i | −1.40550 | − | 2.43440i | ||||
\(320\) | −0.356048 | − | 0.616693i | −0.0199037 | − | 0.0344742i | ||||
\(321\) | −1.40552 | + | 3.35681i | −0.0784485 | + | 0.187359i | ||||
\(322\) | 0.840037 | − | 19.0358i | 0.0468134 | − | 1.06083i | ||||
\(323\) | −9.27844 | + | 5.35691i | −0.516266 | + | 0.298066i | ||||
\(324\) | 7.72439 | + | 4.61885i | 0.429133 | + | 0.256603i | ||||
\(325\) | −13.6501 | + | 8.72333i | −0.757172 | + | 0.483883i | ||||
\(326\) | 0.221201 | + | 0.127711i | 0.0122512 | + | 0.00707324i | ||||
\(327\) | −17.8162 | − | 7.45975i | −0.985236 | − | 0.412525i | ||||
\(328\) | 1.83218 | − | 1.05781i | 0.101165 | − | 0.0584078i | ||||
\(329\) | 0.649361 | − | 14.7150i | 0.0358004 | − | 0.811263i | ||||
\(330\) | −0.878909 | − | 6.87944i | −0.0483823 | − | 0.378700i | ||||
\(331\) | −11.9474 | −0.656686 | −0.328343 | − | 0.944559i | \(-0.606490\pi\) | ||||
−0.328343 | + | 0.944559i | \(0.606490\pi\) | |||||||
\(332\) | −8.92385 | − | 15.4566i | −0.489760 | − | 0.848289i | ||||
\(333\) | −4.06202 | + | 14.7082i | −0.222598 | + | 0.806003i | ||||
\(334\) | − | 14.4188i | − | 0.788964i | ||||||
\(335\) | −1.26044 | − | 2.18315i | −0.0688652 | − | 0.119278i | ||||
\(336\) | −2.61230 | − | 3.76508i | −0.142513 | − | 0.205402i | ||||
\(337\) | 16.0614 | 0.874921 | 0.437460 | − | 0.899238i | \(-0.355878\pi\) | ||||
0.437460 | + | 0.899238i | \(0.355878\pi\) | |||||||
\(338\) | −1.16976 | − | 12.9473i | −0.0636264 | − | 0.704238i | ||||
\(339\) | −12.7247 | + | 30.3904i | −0.691109 | + | 1.65058i | ||||
\(340\) | −1.37465 | −0.0745509 | ||||||||
\(341\) | −0.320423 | + | 0.554989i | −0.0173519 | + | 0.0300543i | ||||
\(342\) | −4.43235 | + | 16.0491i | −0.239674 | + | 0.867835i | ||||
\(343\) | 2.44312 | − | 18.3584i | 0.131916 | − | 0.991261i | ||||
\(344\) | 6.97559 | + | 4.02736i | 0.376098 | + | 0.217141i | ||||
\(345\) | −8.81107 | + | 1.12569i | −0.474372 | + | 0.0606053i | ||||
\(346\) | −7.42851 | − | 4.28885i | −0.399359 | − | 0.230570i | ||||
\(347\) | 7.96954 | − | 4.60122i | 0.427827 | − | 0.247006i | −0.270593 | − | 0.962694i | \(-0.587220\pi\) |
0.698421 | + | 0.715688i | \(0.253887\pi\) | |||||||
\(348\) | −5.97283 | + | 14.2649i | −0.320177 | + | 0.764681i | ||||
\(349\) | 27.6684 | − | 15.9743i | 1.48105 | − | 0.855087i | 0.481285 | − | 0.876564i | \(-0.340170\pi\) |
0.999769 | + | 0.0214767i | \(0.00683677\pi\) | |||||||
\(350\) | 11.8756 | + | 0.524061i | 0.634777 | + | 0.0280122i | ||||
\(351\) | 1.82070 | − | 18.6463i | 0.0971820 | − | 0.995267i | ||||
\(352\) | 2.81151 | + | 4.86968i | 0.149854 | + | 0.259555i | ||||
\(353\) | 27.3031 | 1.45320 | 0.726598 | − | 0.687063i | \(-0.241100\pi\) | ||||
0.726598 | + | 0.687063i | \(0.241100\pi\) | |||||||
\(354\) | −9.10501 | + | 1.16325i | −0.483926 | + | 0.0618258i | ||||
\(355\) | − | 4.91039i | − | 0.260617i | ||||||
\(356\) | 11.5708 | 0.613252 | ||||||||
\(357\) | −8.81591 | + | 0.733138i | −0.466588 | + | 0.0388018i | ||||
\(358\) | −9.22719 | + | 15.9820i | −0.487672 | + | 0.844672i | ||||
\(359\) | 3.65821 | − | 2.11207i | 0.193073 | − | 0.111471i | −0.400347 | − | 0.916363i | \(-0.631110\pi\) |
0.593420 | + | 0.804893i | \(0.297777\pi\) | |||||||
\(360\) | −1.52211 | + | 1.49897i | −0.0802221 | + | 0.0790027i | ||||
\(361\) | −11.8021 | −0.621164 | ||||||||
\(362\) | −4.28993 | + | 7.43037i | −0.225474 | + | 0.390532i | ||||
\(363\) | 4.52574 | + | 35.4241i | 0.237540 | + | 1.85928i | ||||
\(364\) | −4.76184 | + | 8.26589i | −0.249588 | + | 0.433250i | ||||
\(365\) | 7.02750i | 0.367836i | ||||||||
\(366\) | 9.19507 | + | 3.85004i | 0.480634 | + | 0.201245i | ||||
\(367\) | 27.1487i | 1.41715i | 0.705634 | + | 0.708576i | \(0.250662\pi\) | ||||
−0.705634 | + | 0.708576i | \(0.749338\pi\) | |||||||
\(368\) | 6.23701 | − | 3.60094i | 0.325126 | − | 0.187712i | ||||
\(369\) | −4.45341 | − | 4.52215i | −0.231835 | − | 0.235414i | ||||
\(370\) | −3.13666 | − | 1.81095i | −0.163067 | − | 0.0941470i | ||||
\(371\) | −2.73515 | − | 5.26017i | −0.142002 | − | 0.273095i | ||||
\(372\) | 0.195807 | − | 0.0250161i | 0.0101521 | − | 0.00129703i | ||||
\(373\) | 25.7130 | 1.33137 | 0.665683 | − | 0.746234i | \(-0.268140\pi\) | ||||
0.665683 | + | 0.746234i | \(0.268140\pi\) | |||||||
\(374\) | 10.8548 | 0.561291 | ||||||||
\(375\) | −1.48380 | − | 11.6140i | −0.0766229 | − | 0.599746i | ||||
\(376\) | 4.82130 | − | 2.78358i | 0.248639 | − | 0.143552i | ||||
\(377\) | 32.1601 | − | 1.44985i | 1.65633 | − | 0.0746709i | ||||
\(378\) | −8.96214 | + | 10.4250i | −0.460963 | + | 0.536203i | ||||
\(379\) | 9.50707 | + | 16.4667i | 0.488345 | + | 0.845839i | 0.999910 | − | 0.0134057i | \(-0.00426729\pi\) |
−0.511565 | + | 0.859245i | \(0.670934\pi\) | |||||||
\(380\) | −3.42262 | − | 1.97605i | −0.175577 | − | 0.101369i | ||||
\(381\) | −19.6020 | + | 14.9222i | −1.00424 | + | 0.764488i | ||||
\(382\) | −4.74328 | + | 8.21559i | −0.242687 | + | 0.420346i | ||||
\(383\) | 19.3643 | 0.989470 | 0.494735 | − | 0.869044i | \(-0.335265\pi\) | ||||
0.494735 | + | 0.869044i | \(0.335265\pi\) | |||||||
\(384\) | 0.668950 | − | 1.59766i | 0.0341372 | − | 0.0815301i | ||||
\(385\) | 10.5836 | + | 0.467047i | 0.539392 | + | 0.0238029i | ||||
\(386\) | 11.1338 | + | 6.42811i | 0.566696 | + | 0.327182i | ||||
\(387\) | 6.43271 | − | 23.2922i | 0.326993 | − | 1.18401i | ||||
\(388\) | − | 8.74814i | − | 0.444120i | ||||||
\(389\) | −26.6606 | − | 15.3925i | −1.35175 | − | 0.780431i | −0.363252 | − | 0.931691i | \(-0.618334\pi\) |
−0.988494 | + | 0.151260i | \(0.951667\pi\) | |||||||
\(390\) | 4.17517 | + | 1.53105i | 0.211418 | + | 0.0775275i | ||||
\(391\) | − | 13.9027i | − | 0.703091i | ||||||
\(392\) | 6.34692 | − | 2.95240i | 0.320568 | − | 0.149119i | ||||
\(393\) | −0.256729 | + | 0.195438i | −0.0129503 | + | 0.00985854i | ||||
\(394\) | −3.42444 | −0.172521 | ||||||||
\(395\) | −0.422987 | + | 0.732635i | −0.0212828 | + | 0.0368629i | ||||
\(396\) | 12.0192 | − | 11.8365i | 0.603989 | − | 0.594808i | ||||
\(397\) | − | 13.9149i | − | 0.698368i | −0.937054 | − | 0.349184i | \(-0.886459\pi\) | ||
0.937054 | − | 0.349184i | \(-0.113541\pi\) | |||||||
\(398\) | −3.73452 | −0.187194 | ||||||||
\(399\) | −23.0039 | − | 10.8474i | −1.15163 | − | 0.543051i | ||||
\(400\) | 2.24646 | + | 3.89098i | 0.112323 | + | 0.194549i | ||||
\(401\) | 9.22185 | + | 5.32424i | 0.460517 | + | 0.265880i | 0.712262 | − | 0.701914i | \(-0.247671\pi\) |
−0.251745 | + | 0.967794i | \(0.581004\pi\) | |||||||
\(402\) | 2.36814 | − | 5.65584i | 0.118112 | − | 0.282088i | ||||
\(403\) | −0.221278 | − | 0.346252i | −0.0110226 | − | 0.0172480i | ||||
\(404\) | −6.92347 | − | 11.9918i | −0.344455 | − | 0.596614i | ||||
\(405\) | 5.50051 | + | 3.28906i | 0.273322 | + | 0.163435i | ||||
\(406\) | −19.9175 | − | 12.7020i | −0.988490 | − | 0.630388i | ||||
\(407\) | 24.7685 | + | 14.3001i | 1.22773 | + | 0.708829i | ||||
\(408\) | −2.02528 | − | 2.66043i | −0.100267 | − | 0.131711i | ||||
\(409\) | 6.80867 | − | 3.93099i | 0.336667 | − | 0.194375i | −0.322130 | − | 0.946695i | \(-0.604399\pi\) |
0.658797 | + | 0.752321i | \(0.271066\pi\) | |||||||
\(410\) | 1.30469 | − | 0.753263i | 0.0644340 | − | 0.0372010i | ||||
\(411\) | −4.80380 | − | 6.31032i | −0.236954 | − | 0.311265i | ||||
\(412\) | −12.2515 | − | 7.07342i | −0.603590 | − | 0.348483i | ||||
\(413\) | 0.618143 | − | 14.0076i | 0.0304168 | − | 0.689267i | ||||
\(414\) | −15.1600 | − | 15.3940i | −0.745075 | − | 0.756576i | ||||
\(415\) | −6.35463 | − | 11.0065i | −0.311937 | − | 0.540290i | ||||
\(416\) | −3.60189 | + | 0.162381i | −0.176597 | + | 0.00796138i | ||||
\(417\) | 7.17504 | − | 17.1362i | 0.351363 | − | 0.839163i | ||||
\(418\) | 27.0265 | + | 15.6038i | 1.32191 | + | 0.763206i | ||||
\(419\) | −11.5591 | − | 20.0210i | −0.564699 | − | 0.978088i | −0.997078 | − | 0.0763955i | \(-0.975659\pi\) |
0.432378 | − | 0.901692i | \(-0.357675\pi\) | |||||||
\(420\) | −1.86021 | − | 2.68110i | −0.0907690 | − | 0.130824i | ||||
\(421\) | 3.46283 | 0.168768 | 0.0843840 | − | 0.996433i | \(-0.473108\pi\) | ||||
0.0843840 | + | 0.996433i | \(0.473108\pi\) | |||||||
\(422\) | 8.33840i | 0.405907i | ||||||||
\(423\) | −11.7189 | − | 11.8998i | −0.569794 | − | 0.578589i | ||||
\(424\) | 1.12043 | − | 1.94065i | 0.0544131 | − | 0.0942463i | ||||
\(425\) | 8.67327 | 0.420715 | ||||||||
\(426\) | 9.50334 | − | 7.23452i | 0.460438 | − | 0.350514i | ||||
\(427\) | −8.18758 | + | 12.8387i | −0.396225 | + | 0.621307i | ||||
\(428\) | − | 2.10108i | − | 0.101560i | ||||||
\(429\) | −32.9690 | − | 12.0898i | −1.59176 | − | 0.583701i | ||||
\(430\) | 4.96729 | + | 2.86786i | 0.239544 | + | 0.138301i | ||||
\(431\) | 10.7708i | 0.518812i | 0.965768 | + | 0.259406i | \(0.0835267\pi\) | ||||
−0.965768 | + | 0.259406i | \(0.916473\pi\) | |||||||
\(432\) | −5.14357 | − | 0.737369i | −0.247470 | − | 0.0354767i | ||||
\(433\) | −4.10756 | − | 2.37150i | −0.197397 | − | 0.113967i | 0.398044 | − | 0.917366i | \(-0.369689\pi\) |
−0.595441 | + | 0.803399i | \(0.703022\pi\) | |||||||
\(434\) | −0.0132934 | + | 0.301239i | −0.000638105 | + | 0.0144599i | ||||
\(435\) | −4.25323 | + | 10.1580i | −0.203927 | + | 0.487039i | ||||
\(436\) | 11.1514 | 0.534057 | ||||||||
\(437\) | 19.9851 | − | 34.6152i | 0.956016 | − | 1.65587i | ||||
\(438\) | −13.6007 | + | 10.3537i | −0.649866 | + | 0.494718i | ||||
\(439\) | −2.60093 | − | 1.50165i | −0.124136 | − | 0.0716697i | 0.436646 | − | 0.899633i | \(-0.356166\pi\) |
−0.560782 | + | 0.827964i | \(0.689499\pi\) | |||||||
\(440\) | 2.00206 | + | 3.46768i | 0.0954447 | + | 0.165315i | ||||
\(441\) | −13.3598 | − | 16.2023i | −0.636181 | − | 0.771540i | ||||
\(442\) | −3.20513 | + | 6.17838i | −0.152453 | + | 0.293876i | ||||
\(443\) | −2.86188 | + | 1.65230i | −0.135972 | + | 0.0785034i | −0.566443 | − | 0.824101i | \(-0.691681\pi\) |
0.430471 | + | 0.902604i | \(0.358347\pi\) | |||||||
\(444\) | −1.11644 | − | 8.73864i | −0.0529838 | − | 0.414717i | ||||
\(445\) | 8.23953 | 0.390591 | ||||||||
\(446\) | 8.34241 | 0.395025 | ||||||||
\(447\) | 37.9755 | − | 4.85170i | 1.79618 | − | 0.229478i | ||||
\(448\) | 2.23074 | + | 1.42260i | 0.105393 | + | 0.0672117i | ||||
\(449\) | −0.505378 | − | 0.291780i | −0.0238503 | − | 0.0137699i | 0.488027 | − | 0.872828i | \(-0.337717\pi\) |
−0.511878 | + | 0.859058i | \(0.671050\pi\) | |||||||
\(450\) | 9.60363 | − | 9.45765i | 0.452720 | − | 0.445838i | ||||
\(451\) | −10.3024 | + | 5.94809i | −0.485121 | + | 0.280085i | ||||
\(452\) | − | 19.0219i | − | 0.894713i | ||||||
\(453\) | −4.67249 | − | 1.95640i | −0.219533 | − | 0.0919198i | ||||
\(454\) | − | 11.5937i | − | 0.544119i | ||||||
\(455\) | −3.39088 | + | 5.88610i | −0.158967 | + | 0.275945i | ||||
\(456\) | −1.21822 | − | 9.53532i | −0.0570484 | − | 0.446532i | ||||
\(457\) | −14.6725 | + | 25.4136i | −0.686353 | + | 1.18880i | 0.286657 | + | 0.958033i | \(0.407456\pi\) |
−0.973010 | + | 0.230764i | \(0.925877\pi\) | |||||||
\(458\) | 10.1797 | 0.475665 | ||||||||
\(459\) | −6.19738 | + | 7.88731i | −0.289269 | + | 0.368148i | ||||
\(460\) | 4.44135 | − | 2.56421i | 0.207079 | − | 0.119557i | ||||
\(461\) | −13.4919 | + | 23.3687i | −0.628383 | + | 1.08839i | 0.359494 | + | 0.933148i | \(0.382949\pi\) |
−0.987876 | + | 0.155243i | \(0.950384\pi\) | |||||||
\(462\) | 14.6890 | + | 21.1711i | 0.683396 | + | 0.984971i | ||||
\(463\) | −21.4118 | −0.995091 | −0.497545 | − | 0.867438i | \(-0.665765\pi\) | ||||
−0.497545 | + | 0.867438i | \(0.665765\pi\) | |||||||
\(464\) | − | 8.92867i | − | 0.414503i | ||||||
\(465\) | 0.139434 | − | 0.0178139i | 0.00646608 | − | 0.000826099i | ||||
\(466\) | 8.06419 | 0.373566 | ||||||||
\(467\) | −2.30577 | − | 3.99371i | −0.106698 | − | 0.184807i | 0.807733 | − | 0.589549i | \(-0.200695\pi\) |
−0.914431 | + | 0.404742i | \(0.867361\pi\) | |||||||
\(468\) | 3.18820 | + | 10.3361i | 0.147374 | + | 0.477787i | ||||
\(469\) | 7.89701 | + | 5.03614i | 0.364650 | + | 0.232547i | ||||
\(470\) | 3.43322 | − | 1.98217i | 0.158363 | − | 0.0914308i | ||||
\(471\) | 0.845842 | − | 2.02013i | 0.0389743 | − | 0.0930826i | ||||
\(472\) | 4.58951 | − | 2.64976i | 0.211249 | − | 0.121965i | ||||
\(473\) | −39.2239 | − | 22.6459i | −1.80352 | − | 1.04126i | ||||
\(474\) | −2.04110 | + | 0.260768i | −0.0937507 | + | 0.0119775i | ||||
\(475\) | 21.5948 | + | 12.4678i | 0.990838 | + | 0.572061i | ||||
\(476\) | 4.53146 | − | 2.35624i | 0.207699 | − | 0.107998i | ||||
\(477\) | −6.48002 | − | 1.78962i | −0.296700 | − | 0.0819409i | ||||
\(478\) | 1.93380 | − | 3.34945i | 0.0884502 | − | 0.153200i | ||||
\(479\) | −10.3048 | −0.470837 | −0.235419 | − | 0.971894i | \(-0.575646\pi\) | ||||
−0.235419 | + | 0.971894i | \(0.575646\pi\) | |||||||
\(480\) | 0.476356 | − | 1.13768i | 0.0217426 | − | 0.0519279i | ||||
\(481\) | −15.4528 | + | 9.87535i | −0.704586 | + | 0.450277i | ||||
\(482\) | −9.25631 | −0.421613 | ||||||||
\(483\) | 27.1157 | − | 18.8135i | 1.23381 | − | 0.856043i | ||||
\(484\) | −10.3092 | − | 17.8560i | −0.468599 | − | 0.811637i | ||||
\(485\) | − | 6.22952i | − | 0.282868i | ||||||
\(486\) | 1.73844 | + | 15.4912i | 0.0788574 | + | 0.702696i | ||||
\(487\) | 0.953459 | + | 1.65144i | 0.0432054 | + | 0.0748339i | 0.886819 | − | 0.462116i | \(-0.152910\pi\) |
−0.843614 | + | 0.536950i | \(0.819576\pi\) | |||||||
\(488\) | −5.75535 | −0.260532 | ||||||||
\(489\) | 0.0560652 | + | 0.438836i | 0.00253536 | + | 0.0198449i | ||||
\(490\) | 4.51961 | − | 2.10239i | 0.204175 | − | 0.0949762i | ||||
\(491\) | 28.8254 | − | 16.6423i | 1.30087 | − | 0.751059i | 0.320318 | − | 0.947310i | \(-0.396210\pi\) |
0.980554 | + | 0.196252i | \(0.0628769\pi\) | |||||||
\(492\) | 3.38004 | + | 1.41525i | 0.152384 | + | 0.0638042i | ||||
\(493\) | −14.9270 | − | 8.61809i | −0.672277 | − | 0.388139i | ||||
\(494\) | −16.8616 | + | 10.7757i | −0.758638 | + | 0.484820i | ||||
\(495\) | 8.55884 | − | 8.42874i | 0.384691 | − | 0.378844i | ||||
\(496\) | −0.0986994 | + | 0.0569841i | −0.00443174 | + | 0.00255866i | ||||
\(497\) | 8.41671 | + | 16.1868i | 0.377541 | + | 0.726078i | ||||
\(498\) | 11.9392 | − | 28.5145i | 0.535009 | − | 1.27776i | ||||
\(499\) | −1.95109 | − | 3.37939i | −0.0873428 | − | 0.151282i | 0.819044 | − | 0.573730i | \(-0.194504\pi\) |
−0.906387 | + | 0.422448i | \(0.861171\pi\) | |||||||
\(500\) | 3.37993 | + | 5.85422i | 0.151155 | + | 0.261809i | ||||
\(501\) | 19.8714 | − | 15.1273i | 0.887789 | − | 0.675839i | ||||
\(502\) | 18.5075 | − | 10.6853i | 0.826030 | − | 0.476909i | ||||
\(503\) | −5.38338 | + | 9.32430i | −0.240033 | + | 0.415750i | −0.960723 | − | 0.277507i | \(-0.910492\pi\) |
0.720690 | + | 0.693257i | \(0.243825\pi\) | |||||||
\(504\) | 2.44821 | − | 7.55025i | 0.109052 | − | 0.336315i | ||||
\(505\) | −4.93017 | − | 8.53931i | −0.219390 | − | 0.379994i | ||||
\(506\) | −35.0708 | + | 20.2481i | −1.55909 | + | 0.900140i | ||||
\(507\) | 16.6161 | − | 15.1956i | 0.737947 | − | 0.674858i | ||||
\(508\) | 7.11167 | − | 12.3178i | 0.315529 | − | 0.546513i | ||||
\(509\) | −0.925076 | + | 1.60228i | −0.0410033 | + | 0.0710198i | −0.885799 | − | 0.464070i | \(-0.846389\pi\) |
0.844795 | + | 0.535089i | \(0.179722\pi\) | |||||||
\(510\) | −1.44220 | − | 1.89448i | −0.0638615 | − | 0.0838891i | ||||
\(511\) | −12.0456 | − | 23.1657i | −0.532864 | − | 1.02479i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | −26.7683 | + | 10.7292i | −1.18185 | + | 0.473706i | ||||
\(514\) | 19.4114 | − | 11.2072i | 0.856202 | − | 0.494328i | ||||
\(515\) | −8.72426 | − | 5.03695i | −0.384437 | − | 0.221955i | ||||
\(516\) | 1.76802 | + | 13.8387i | 0.0778325 | + | 0.609214i | ||||
\(517\) | −27.1102 | + | 15.6521i | −1.19231 | + | 0.688379i | ||||
\(518\) | 13.4439 | + | 0.593269i | 0.590691 | + | 0.0260668i | ||||
\(519\) | −1.88281 | − | 14.7372i | −0.0826463 | − | 0.646893i | ||||
\(520\) | −2.56489 | + | 0.115631i | −0.112478 | + | 0.00507075i | ||||
\(521\) | 4.58751 | − | 7.94581i | 0.200983 | − | 0.348112i | −0.747863 | − | 0.663853i | \(-0.768920\pi\) |
0.948845 | + | 0.315741i | \(0.102253\pi\) | |||||||
\(522\) | −25.9256 | + | 6.73438i | −1.13473 | + | 0.294756i | ||||
\(523\) | 37.5869 | + | 21.7008i | 1.64356 | + | 0.948909i | 0.979554 | + | 0.201181i | \(0.0644779\pi\) |
0.664005 | + | 0.747728i | \(0.268855\pi\) | |||||||
\(524\) | 0.0931423 | − | 0.161327i | 0.00406894 | − | 0.00704761i | ||||
\(525\) | 11.7369 | + | 16.9162i | 0.512239 | + | 0.738285i | ||||
\(526\) | −7.62821 | + | 13.2124i | −0.332606 | + | 0.576090i | ||||
\(527\) | 0.220008i | 0.00958369i | ||||||||
\(528\) | −3.76152 | + | 8.98365i | −0.163699 | + | 0.390963i | ||||
\(529\) | 14.4335 | + | 24.9996i | 0.627543 | + | 1.08694i | ||||
\(530\) | 0.797857 | − | 1.38193i | 0.0346567 | − | 0.0600271i | ||||
\(531\) | −11.1555 | − | 11.3277i | −0.484109 | − | 0.491581i | ||||
\(532\) | 14.6696 | + | 0.647356i | 0.636006 | + | 0.0280664i | ||||
\(533\) | −0.343537 | − | 7.62024i | −0.0148802 | − | 0.330069i | ||||
\(534\) | 12.1394 | + | 15.9464i | 0.525321 | + | 0.690067i | ||||
\(535\) | − | 1.49617i | − | 0.0646852i | ||||||
\(536\) | 3.54009i | 0.152908i | ||||||||
\(537\) | −31.7062 | + | 4.05075i | −1.36822 | + | 0.174803i | ||||
\(538\) | − | 18.8577i | − | 0.813015i | ||||||
\(539\) | −35.6888 | + | 16.6014i | −1.53723 | + | 0.715072i | ||||
\(540\) | −3.66271 | − | 0.525077i | −0.157618 | − | 0.0225957i | ||||
\(541\) | 10.1315 | + | 17.5483i | 0.435588 | + | 0.754461i | 0.997343 | − | 0.0728424i | \(-0.0232070\pi\) |
−0.561755 | + | 0.827304i | \(0.689874\pi\) | |||||||
\(542\) | −8.92161 | − | 15.4527i | −0.383216 | − | 0.663749i | ||||
\(543\) | −14.7409 | + | 1.88328i | −0.632594 | + | 0.0808195i | ||||
\(544\) | 1.67180 | + | 0.965215i | 0.0716779 | + | 0.0413833i | ||||
\(545\) | 7.94089 | 0.340150 | ||||||||
\(546\) | −16.3875 | + | 2.10949i | −0.701320 | + | 0.0902778i | ||||
\(547\) | 19.1094 | 0.817059 | 0.408529 | − | 0.912745i | \(-0.366042\pi\) | ||||
0.408529 | + | 0.912745i | \(0.366042\pi\) | |||||||
\(548\) | 3.96537 | + | 2.28941i | 0.169392 | + | 0.0977986i | ||||
\(549\) | 4.34093 | + | 16.7115i | 0.185266 | + | 0.713227i | ||||
\(550\) | −12.6319 | − | 21.8791i | −0.538625 | − | 0.932927i | ||||
\(551\) | −24.7769 | − | 42.9148i | −1.05553 | − | 1.82823i | ||||
\(552\) | 11.5061 | + | 4.81769i | 0.489733 | + | 0.205055i | ||||
\(553\) | 0.138571 | − | 3.14011i | 0.00589263 | − | 0.133531i | ||||
\(554\) | − | 28.5818i | − | 1.21432i | ||||||
\(555\) | −0.795011 | − | 6.22275i | −0.0337463 | − | 0.264141i | ||||
\(556\) | 10.7258i | 0.454876i | ||||||||
\(557\) | 34.7242i | 1.47131i | 0.677355 | + | 0.735657i | \(0.263126\pi\) | ||||
−0.677355 | + | 0.735657i | \(0.736874\pi\) | |||||||
\(558\) | 0.239905 | + | 0.243608i | 0.0101560 | + | 0.0103127i | ||||
\(559\) | 24.4714 | − | 15.6388i | 1.03503 | − | 0.661451i | ||||
\(560\) | 1.58850 | + | 1.01303i | 0.0671264 | + | 0.0428083i | ||||
\(561\) | 11.3882 | + | 14.9597i | 0.480811 | + | 0.631598i | ||||
\(562\) | 0.0388820 | − | 0.0673456i | 0.00164014 | − | 0.00284080i | ||||
\(563\) | −11.4870 | − | 19.8960i | −0.484118 | − | 0.838516i | 0.515716 | − | 0.856760i | \(-0.327526\pi\) |
−0.999834 | + | 0.0182434i | \(0.994193\pi\) | |||||||
\(564\) | 8.89440 | + | 3.72415i | 0.374522 | + | 0.156815i | ||||
\(565\) | − | 13.5454i | − | 0.569859i | ||||||
\(566\) | 6.18825 | − | 10.7184i | 0.260112 | − | 0.450527i | ||||
\(567\) | −23.7697 | − | 1.41400i | −0.998235 | − | 0.0593825i | ||||
\(568\) | −3.44785 | + | 5.97185i | −0.144668 | + | 0.250573i | ||||
\(569\) | −40.4012 | − | 23.3256i | −1.69371 | − | 0.977862i | −0.951479 | − | 0.307715i | \(-0.900436\pi\) |
−0.742228 | − | 0.670147i | \(-0.766231\pi\) | |||||||
\(570\) | −0.867490 | − | 6.79006i | −0.0363352 | − | 0.284404i | ||||
\(571\) | −18.4063 | + | 31.8806i | −0.770279 | + | 1.33416i | 0.167130 | + | 0.985935i | \(0.446550\pi\) |
−0.937410 | + | 0.348228i | \(0.886783\pi\) | |||||||
\(572\) | 20.2535 | − | 0.913072i | 0.846842 | − | 0.0381774i | ||||
\(573\) | −16.2987 | + | 2.08230i | −0.680888 | + | 0.0869895i | ||||
\(574\) | −3.00969 | + | 4.71940i | −0.125622 | + | 0.196984i | ||||
\(575\) | −28.0224 | + | 16.1787i | −1.16861 | + | 0.674699i | ||||
\(576\) | 2.90364 | − | 0.754242i | 0.120985 | − | 0.0314268i | ||||
\(577\) | −8.25747 | − | 4.76745i | −0.343763 | − | 0.198472i | 0.318172 | − | 0.948033i | \(-0.396931\pi\) |
−0.661935 | + | 0.749561i | \(0.730264\pi\) | |||||||
\(578\) | −11.4951 | + | 6.63672i | −0.478135 | + | 0.276051i | ||||
\(579\) | 2.82195 | + | 22.0881i | 0.117276 | + | 0.917949i | ||||
\(580\) | − | 6.35807i | − | 0.264004i | ||||||
\(581\) | 39.8135 | + | 25.3902i | 1.65174 | + | 1.05336i | ||||
\(582\) | 12.0563 | − | 9.17799i | 0.499750 | − | 0.380440i | ||||
\(583\) | −6.30022 | + | 10.9123i | −0.260929 | + | 0.451942i | ||||
\(584\) | 4.93438 | − | 8.54660i | 0.204186 | − | 0.353661i | ||||
\(585\) | 2.27030 | + | 7.36031i | 0.0938654 | + | 0.304311i | ||||
\(586\) | −17.2750 | + | 9.97370i | −0.713622 | + | 0.412010i | ||||
\(587\) | −15.6323 | − | 27.0760i | −0.645216 | − | 1.11755i | −0.984252 | − | 0.176773i | \(-0.943434\pi\) |
0.339036 | − | 0.940774i | \(-0.389899\pi\) | |||||||
\(588\) | 10.7276 | + | 5.64957i | 0.442401 | + | 0.232985i | ||||
\(589\) | −0.316260 | + | 0.547778i | −0.0130313 | + | 0.0225708i | ||||
\(590\) | 3.26817 | − | 1.88688i | 0.134548 | − | 0.0776816i | ||||
\(591\) | −3.59271 | − | 4.71941i | −0.147784 | − | 0.194131i | ||||
\(592\) | 2.54313 | + | 4.40483i | 0.104522 | + | 0.181038i | ||||
\(593\) | −2.94182 | − | 5.09538i | −0.120806 | − | 0.209242i | 0.799280 | − | 0.600959i | \(-0.205215\pi\) |
−0.920086 | + | 0.391717i | \(0.871881\pi\) | |||||||
\(594\) | 28.9224 | + | 4.14624i | 1.18670 | + | 0.170122i | ||||
\(595\) | 3.22683 | − | 1.67786i | 0.132287 | − | 0.0687858i | ||||
\(596\) | −19.1421 | + | 11.0517i | −0.784090 | + | 0.452695i | ||||
\(597\) | −3.91802 | − | 5.14675i | −0.160354 | − | 0.210642i | ||||
\(598\) | −1.16945 | − | 25.9404i | −0.0478223 | − | 1.06078i | ||||
\(599\) | −9.70494 | − | 5.60315i | −0.396533 | − | 0.228938i | 0.288454 | − | 0.957494i | \(-0.406859\pi\) |
−0.684987 | + | 0.728555i | \(0.740192\pi\) | |||||||
\(600\) | −3.00554 | + | 7.17814i | −0.122701 | + | 0.293046i | ||||
\(601\) | 20.8089 | − | 12.0140i | 0.848812 | − | 0.490062i | −0.0114376 | − | 0.999935i | \(-0.503641\pi\) |
0.860250 | + | 0.509873i | \(0.170307\pi\) | |||||||
\(602\) | −21.2901 | − | 0.939514i | −0.867718 | − | 0.0382917i | ||||
\(603\) | 10.2791 | − | 2.67008i | 0.418599 | − | 0.108734i | ||||
\(604\) | 2.92459 | 0.119000 | ||||||||
\(605\) | −7.34112 | − | 12.7152i | −0.298459 | − | 0.516946i | ||||
\(606\) | 9.26290 | − | 22.1226i | 0.376280 | − | 0.898671i | ||||
\(607\) | − | 5.27283i | − | 0.214018i | −0.994258 | − | 0.107009i | \(-0.965873\pi\) | ||
0.994258 | − | 0.107009i | \(-0.0341273\pi\) | |||||||
\(608\) | 2.77498 | + | 4.80641i | 0.112540 | + | 0.194926i | ||||
\(609\) | −3.39093 | − | 40.7755i | −0.137407 | − | 1.65231i | ||||
\(610\) | −4.09836 | −0.165938 | ||||||||
\(611\) | −0.904000 | − | 20.0523i | −0.0365719 | − | 0.811229i | ||||
\(612\) | 1.54169 | − | 5.58231i | 0.0623192 | − | 0.225652i | ||||
\(613\) | −32.9769 | −1.33192 | −0.665962 | − | 0.745986i | \(-0.731979\pi\) | ||||
−0.665962 | + | 0.745986i | \(0.731979\pi\) | |||||||
\(614\) | 7.94777 | − | 13.7659i | 0.320746 | − | 0.555548i | ||||
\(615\) | 2.40691 | + | 1.00779i | 0.0970560 | + | 0.0406380i | ||||
\(616\) | −12.5435 | − | 7.99933i | −0.505392 | − | 0.322302i | ||||
\(617\) | 28.6611 | + | 16.5475i | 1.15385 | + | 0.666177i | 0.949823 | − | 0.312788i | \(-0.101263\pi\) |
0.204029 | + | 0.978965i | \(0.434596\pi\) | |||||||
\(618\) | −3.10524 | − | 24.3055i | −0.124911 | − | 0.977711i | ||||
\(619\) | 22.9948 | + | 13.2760i | 0.924238 | + | 0.533609i | 0.884985 | − | 0.465620i | \(-0.154169\pi\) |
0.0392534 | + | 0.999229i | \(0.487502\pi\) | |||||||
\(620\) | −0.0702834 | + | 0.0405782i | −0.00282265 | + | 0.00162966i | ||||
\(621\) | 5.31044 | − | 37.0433i | 0.213100 | − | 1.48650i | ||||
\(622\) | −0.474572 | + | 0.273994i | −0.0190286 | + | 0.0109862i | ||||
\(623\) | −27.1611 | + | 14.1230i | −1.08819 | + | 0.565828i | ||||
\(624\) | −4.00266 | − | 4.79361i | −0.160235 | − | 0.191898i | ||||
\(625\) | −8.82546 | − | 15.2862i | −0.353019 | − | 0.611446i | ||||
\(626\) | 21.4517 | 0.857382 | ||||||||
\(627\) | 6.85008 | + | 53.6173i | 0.273566 | + | 2.14127i | ||||
\(628\) | 1.26443i | 0.0504563i | ||||||||
\(629\) | 9.81868 | 0.391496 | ||||||||
\(630\) | 1.74336 | − | 5.37650i | 0.0694571 | − | 0.214205i | ||||
\(631\) | −15.2708 | + | 26.4498i | −0.607921 | + | 1.05295i | 0.383661 | + | 0.923474i | \(0.374663\pi\) |
−0.991582 | + | 0.129477i | \(0.958670\pi\) | |||||||
\(632\) | 1.02884 | − | 0.594003i | 0.0409252 | − | 0.0236282i | ||||
\(633\) | −11.4916 | + | 8.74812i | −0.456751 | + | 0.347706i | ||||
\(634\) | 8.13638 | 0.323137 | ||||||||
\(635\) | 5.06419 | − | 8.77143i | 0.200966 | − | 0.348084i | ||||
\(636\) | 3.85001 | − | 0.491872i | 0.152663 | − | 0.0195040i | ||||
\(637\) | 1.08871 | − | 25.2154i | 0.0431362 | − | 0.999069i | ||||
\(638\) | 50.2061i | 1.98768i | ||||||||
\(639\) | 19.9406 | + | 5.50708i | 0.788838 | + | 0.217857i | ||||
\(640\) | 0.712096i | 0.0281481i | ||||||||
\(641\) | 15.4187 | − | 8.90201i | 0.609003 | − | 0.351608i | −0.163572 | − | 0.986531i | \(-0.552302\pi\) |
0.772575 | + | 0.634923i | \(0.218968\pi\) | |||||||
\(642\) | 2.89562 | − | 2.20432i | 0.114281 | − | 0.0869977i | ||||
\(643\) | 2.67987 | + | 1.54722i | 0.105684 | + | 0.0610165i | 0.551910 | − | 0.833904i | \(-0.313899\pi\) |
−0.446226 | + | 0.894920i | \(0.647232\pi\) | |||||||
\(644\) | −10.2454 | + | 16.0655i | −0.403726 | + | 0.633070i | ||||
\(645\) | 1.25900 | + | 9.85447i | 0.0495729 | + | 0.388019i | ||||
\(646\) | 10.7138 | 0.421530 | ||||||||
\(647\) | 24.7924 | 0.974691 | 0.487345 | − | 0.873209i | \(-0.337965\pi\) | ||||
0.487345 | + | 0.873209i | \(0.337965\pi\) | |||||||
\(648\) | −4.38009 | − | 7.86224i | −0.172066 | − | 0.308858i | ||||
\(649\) | −25.8069 | + | 14.8996i | −1.01301 | + | 0.584861i | ||||
\(650\) | 16.1830 | − | 0.729565i | 0.634750 | − | 0.0286159i | ||||
\(651\) | −0.429100 | + | 0.297720i | −0.0168178 | + | 0.0116686i | ||||
\(652\) | −0.127711 | − | 0.221201i | −0.00500154 | − | 0.00866292i | ||||
\(653\) | 9.80033 | + | 5.65822i | 0.383517 | + | 0.221423i | 0.679347 | − | 0.733817i | \(-0.262263\pi\) |
−0.295831 | + | 0.955240i | \(0.595596\pi\) | |||||||
\(654\) | 11.6994 | + | 15.3684i | 0.457482 | + | 0.600952i | ||||
\(655\) | 0.0663262 | − | 0.114880i | 0.00259158 | − | 0.00448875i | ||||
\(656\) | −2.11562 | −0.0826012 | ||||||||
\(657\) | −28.5379 | − | 7.88145i | −1.11337 | − | 0.307485i | ||||
\(658\) | −7.91985 | + | 12.4189i | −0.308748 | + | 0.484138i | ||||
\(659\) | 4.74253 | + | 2.73810i | 0.184743 | + | 0.106661i | 0.589519 | − | 0.807754i | \(-0.299317\pi\) |
−0.404776 | + | 0.914416i | \(0.632651\pi\) | |||||||
\(660\) | −2.67856 | + | 6.39722i | −0.104263 | + | 0.249011i | ||||
\(661\) | 32.3945i | 1.26000i | 0.776596 | + | 0.629999i | \(0.216945\pi\) | ||||
−0.776596 | + | 0.629999i | \(0.783055\pi\) | |||||||
\(662\) | 10.3467 | + | 5.97368i | 0.402136 | + | 0.232173i | ||||
\(663\) | −11.8774 | + | 2.06479i | −0.461280 | + | 0.0801899i | ||||
\(664\) | 17.8477i | 0.692625i | ||||||||
\(665\) | 10.4461 | + | 0.460979i | 0.405083 | + | 0.0178760i | ||||
\(666\) | 10.8719 | − | 10.7066i | 0.421278 | − | 0.414874i | ||||
\(667\) | 64.3031 | 2.48983 | ||||||||
\(668\) | −7.20942 | + | 12.4871i | −0.278941 | + | 0.483140i | ||||
\(669\) | 8.75232 | + | 11.4971i | 0.338384 | + | 0.444505i | ||||
\(670\) | 2.52088i | 0.0973901i | ||||||||
\(671\) | 32.3624 | 1.24934 | ||||||||
\(672\) | 0.379780 | + | 4.56681i | 0.0146503 | + | 0.176169i | ||||
\(673\) | −24.7381 | − | 42.8476i | −0.953584 | − | 1.65166i | −0.737577 | − | 0.675263i | \(-0.764030\pi\) |
−0.216007 | − | 0.976392i | \(-0.569303\pi\) | |||||||
\(674\) | −13.9096 | − | 8.03070i | −0.535777 | − | 0.309331i | ||||
\(675\) | 23.1096 | + | 3.31294i | 0.889490 | + | 0.127515i | ||||
\(676\) | −5.46059 | + | 11.7975i | −0.210023 | + | 0.453752i | ||||
\(677\) | 6.94762 | + | 12.0336i | 0.267019 | + | 0.462490i | 0.968091 | − | 0.250601i | \(-0.0806281\pi\) |
−0.701072 | + | 0.713091i | \(0.747295\pi\) | |||||||
\(678\) | 26.2151 | − | 19.9565i | 1.00678 | − | 0.766426i | ||||
\(679\) | 10.6778 | + | 20.5352i | 0.409775 | + | 0.788070i | ||||
\(680\) | 1.19048 | + | 0.687326i | 0.0456529 | + | 0.0263577i | ||||
\(681\) | 15.9779 | − | 12.1634i | 0.612275 | − | 0.466101i | ||||
\(682\) | 0.554989 | − | 0.320423i | 0.0212516 | − | 0.0122696i | ||||
\(683\) | 16.5540 | − | 9.55744i | 0.633420 | − | 0.365705i | −0.148655 | − | 0.988889i | \(-0.547495\pi\) |
0.782075 | + | 0.623184i | \(0.214161\pi\) | |||||||
\(684\) | 11.8631 | − | 11.6827i | 0.453596 | − | 0.446701i | ||||
\(685\) | 2.82372 | + | 1.63028i | 0.107889 | + | 0.0622897i | ||||
\(686\) | −11.2950 | + | 14.6773i | −0.431246 | + | 0.560381i | ||||
\(687\) | 10.6799 | + | 14.0292i | 0.407462 | + | 0.535247i | ||||
\(688\) | −4.02736 | − | 6.97559i | −0.153542 | − | 0.265942i | ||||
\(689\) | −4.35081 | − | 6.80807i | −0.165753 | − | 0.259367i | ||||
\(690\) | 8.19346 | + | 3.43066i | 0.311920 | + | 0.130603i | ||||
\(691\) | −1.75974 | − | 1.01598i | −0.0669435 | − | 0.0386498i | 0.466155 | − | 0.884703i | \(-0.345639\pi\) |
−0.533098 | + | 0.846053i | \(0.678972\pi\) | |||||||
\(692\) | 4.28885 | + | 7.42851i | 0.163038 | + | 0.282390i | ||||
\(693\) | −13.7663 | + | 42.4552i | −0.522940 | + | 1.61274i | ||||
\(694\) | −9.20243 | −0.349320 | ||||||||
\(695\) | 7.63782i | 0.289719i | ||||||||
\(696\) | 12.3051 | − | 9.36739i | 0.466423 | − | 0.355070i | ||||
\(697\) | −2.04203 | + | 3.53690i | −0.0773474 | + | 0.133970i | ||||
\(698\) | −31.9487 | −1.20928 | ||||||||
\(699\) | 8.46043 | + | 11.1137i | 0.320003 | + | 0.420359i | ||||
\(700\) | −10.0225 | − | 6.39165i | −0.378816 | − | 0.241581i | ||||
\(701\) | 32.3984i | 1.22367i | 0.790985 | + | 0.611836i | \(0.209569\pi\) | ||||
−0.790985 | + | 0.611836i | \(0.790431\pi\) | |||||||
\(702\) | −10.8999 | + | 15.2378i | −0.411391 | + | 0.575115i | ||||
\(703\) | 24.4467 | + | 14.1143i | 0.922024 | + | 0.532331i | ||||
\(704\) | − | 5.62302i | − | 0.211926i | ||||||
\(705\) | 6.33366 | + | 2.65195i | 0.238540 | + | 0.0998782i | ||||
\(706\) | −23.6451 | − | 13.6515i | −0.889897 | − | 0.513782i | ||||
\(707\) | 30.8889 | + | 19.6987i | 1.16170 | + | 0.740846i | ||||
\(708\) | 8.46680 | + | 3.54511i | 0.318202 | + | 0.133233i | ||||
\(709\) | −12.1765 | −0.457298 | −0.228649 | − | 0.973509i | \(-0.573431\pi\) | ||||
−0.228649 | + | 0.973509i | \(0.573431\pi\) | |||||||
\(710\) | −2.45520 | + | 4.25253i | −0.0921419 | + | 0.159594i | ||||
\(711\) | −2.50077 | − | 2.53937i | −0.0937861 | − | 0.0952337i | ||||
\(712\) | −10.0206 | − | 5.78541i | −0.375539 | − | 0.216817i | ||||
\(713\) | −0.410393 | − | 0.710821i | −0.0153693 | − | 0.0266205i | ||||
\(714\) | 8.00137 | + | 3.77304i | 0.299444 | + | 0.141202i | ||||
\(715\) | 14.4224 | − | 0.650194i | 0.539369 | − | 0.0243159i | ||||
\(716\) | 15.9820 | − | 9.22719i | 0.597274 | − | 0.344836i | ||||
\(717\) | 6.64489 | − | 0.848943i | 0.248158 | − | 0.0317044i | ||||
\(718\) | −4.22414 | −0.157644 | ||||||||
\(719\) | 4.18697 | 0.156148 | 0.0780738 | − | 0.996948i | \(-0.475123\pi\) | ||||
0.0780738 | + | 0.996948i | \(0.475123\pi\) | |||||||
\(720\) | 2.06767 | − | 0.537093i | 0.0770575 | − | 0.0200163i | ||||
\(721\) | 37.3926 | + | 1.65011i | 1.39258 | + | 0.0614533i | ||||
\(722\) | 10.2209 | + | 5.90106i | 0.380384 | + | 0.219615i | ||||
\(723\) | −9.71113 | − | 12.7566i | −0.361161 | − | 0.474424i | ||||
\(724\) | 7.43037 | − | 4.28993i | 0.276148 | − | 0.159434i | ||||
\(725\) | 40.1158i | 1.48986i | ||||||||
\(726\) | 13.7926 | − | 32.9410i | 0.511893 | − | 1.22256i | ||||
\(727\) | 1.11253i | 0.0412613i | 0.999787 | + | 0.0206306i | \(0.00656740\pi\) | ||||
−0.999787 | + | 0.0206306i | \(0.993433\pi\) | |||||||
\(728\) | 8.25682 | − | 4.77755i | 0.306018 | − | 0.177068i | ||||
\(729\) | −19.5254 | + | 18.6482i | −0.723165 | + | 0.690676i | ||||
\(730\) | 3.51375 | − | 6.08599i | 0.130050 | − | 0.225253i | ||||
\(731\) | −15.5491 | −0.575103 | ||||||||
\(732\) | −6.03814 | − | 7.93177i | −0.223176 | − | 0.293167i | ||||
\(733\) | 5.06046 | − | 2.92166i | 0.186912 | − | 0.107914i | −0.403624 | − | 0.914925i | \(-0.632250\pi\) |
0.590536 | + | 0.807011i | \(0.298916\pi\) | |||||||
\(734\) | 13.5744 | − | 23.5115i | 0.501039 | − | 0.867825i | ||||
\(735\) | 7.63911 | + | 4.02304i | 0.281773 | + | 0.148392i | ||||
\(736\) | −7.20187 | −0.265465 | ||||||||
\(737\) | − | 19.9060i | − | 0.733246i | ||||||
\(738\) | 1.59569 | + | 6.14300i | 0.0587382 | + | 0.226127i | ||||
\(739\) | 15.9445 | 0.586527 | 0.293263 | − | 0.956032i | \(-0.405259\pi\) | ||||
0.293263 | + | 0.956032i | \(0.405259\pi\) | |||||||
\(740\) | 1.81095 | + | 3.13666i | 0.0665720 | + | 0.115306i | ||||
\(741\) | −32.5406 | − | 11.9327i | −1.19541 | − | 0.438360i | ||||
\(742\) | −0.261378 | + | 5.92302i | −0.00959550 | + | 0.217441i | ||||
\(743\) | −36.9217 | + | 21.3167i | −1.35452 | + | 0.782035i | −0.988879 | − | 0.148719i | \(-0.952485\pi\) |
−0.365645 | + | 0.930754i | \(0.619152\pi\) | |||||||
\(744\) | −0.182082 | − | 0.0762391i | −0.00667546 | − | 0.00279506i | ||||
\(745\) | −13.6310 | + | 7.86985i | −0.499401 | + | 0.288329i | ||||
\(746\) | −22.2681 | − | 12.8565i | −0.815292 | − | 0.470709i | ||||
\(747\) | 51.8233 | − | 13.4615i | 1.89611 | − | 0.492530i | ||||
\(748\) | −9.40057 | − | 5.42742i | −0.343719 | − | 0.198446i | ||||
\(749\) | 2.56453 | + | 4.93204i | 0.0937059 | + | 0.180213i | ||||
\(750\) | −4.52201 | + | 10.7999i | −0.165121 | + | 0.394358i | ||||
\(751\) | −0.303919 | + | 0.526403i | −0.0110902 | + | 0.0192087i | −0.871517 | − | 0.490365i | \(-0.836864\pi\) |
0.860427 | + | 0.509574i | \(0.170197\pi\) | |||||||
\(752\) | −5.56715 | −0.203013 | ||||||||
\(753\) | 34.1429 | + | 14.2959i | 1.24424 | + | 0.520970i | ||||
\(754\) | −28.5764 | − | 14.8244i | −1.04069 | − | 0.539875i | ||||
\(755\) | 2.08259 | 0.0757931 | ||||||||
\(756\) | 12.9739 | − | 4.54723i | 0.471857 | − | 0.165381i | ||||
\(757\) | 4.47273 | + | 7.74699i | 0.162564 | + | 0.281569i | 0.935788 | − | 0.352564i | \(-0.114690\pi\) |
−0.773224 | + | 0.634134i | \(0.781357\pi\) | |||||||
\(758\) | − | 19.0141i | − | 0.690625i | ||||||
\(759\) | −64.6991 | − | 27.0900i | −2.34843 | − | 0.983304i | ||||
\(760\) | 1.97605 | + | 3.42262i | 0.0716790 | + | 0.124152i | ||||
\(761\) | −25.0833 | −0.909267 | −0.454634 | − | 0.890678i | \(-0.650230\pi\) | ||||
−0.454634 | + | 0.890678i | \(0.650230\pi\) | |||||||
\(762\) | 24.4369 | − | 3.12203i | 0.885256 | − | 0.113099i | ||||
\(763\) | −26.1767 | + | 13.6112i | −0.947659 | + | 0.492757i | ||||
\(764\) | 8.21559 | − | 4.74328i | 0.297230 | − | 0.171606i | ||||
\(765\) | 1.09783 | − | 3.97514i | 0.0396922 | − | 0.143722i | ||||
\(766\) | −16.7700 | − | 9.68215i | −0.605924 | − | 0.349830i | ||||
\(767\) | −0.860540 | − | 19.0883i | −0.0310723 | − | 0.689237i | ||||
\(768\) | −1.37816 | + | 1.04914i | −0.0497299 | + | 0.0378574i | ||||
\(769\) | −35.1370 | + | 20.2863i | −1.26707 | + | 0.731544i | −0.974433 | − | 0.224679i | \(-0.927867\pi\) |
−0.292639 | + | 0.956223i | \(0.594533\pi\) | |||||||
\(770\) | −8.93217 | − | 5.69629i | −0.321893 | − | 0.205280i | ||||
\(771\) | 35.8105 | + | 14.9941i | 1.28968 | + | 0.540000i | ||||
\(772\) | −6.42811 | − | 11.1338i | −0.231353 | − | 0.400715i | ||||
\(773\) | −24.2640 | − | 42.0265i | −0.872716 | − | 1.51159i | −0.859176 | − | 0.511680i | \(-0.829023\pi\) |
−0.0135402 | − | 0.999908i | \(-0.504310\pi\) | |||||||
\(774\) | −17.2170 | + | 16.9553i | −0.618852 | + | 0.609445i | ||||
\(775\) | 0.443449 | − | 0.256025i | 0.0159291 | − | 0.00919670i | ||||
\(776\) | −4.37407 | + | 7.57611i | −0.157020 | + | 0.271967i | ||||
\(777\) | 13.2869 | + | 19.1502i | 0.476664 | + | 0.687010i | ||||
\(778\) | 15.3925 | + | 26.6606i | 0.551848 | + | 0.955829i | ||||
\(779\) | −10.1685 | + | 5.87081i | −0.364326 | + | 0.210344i | ||||
\(780\) | −2.85028 | − | 3.41351i | −0.102056 | − | 0.122223i | ||||
\(781\) | 19.3873 | − | 33.5798i | 0.693733 | − | 1.20158i | ||||
\(782\) | −6.95136 | + | 12.0401i | −0.248580 | + | 0.430553i | ||||
\(783\) | −36.4805 | − | 28.6643i | −1.30371 | − | 1.02438i | ||||
\(784\) | −6.97279 | − | 0.616609i | −0.249028 | − | 0.0220217i | ||||
\(785\) | 0.900397i | 0.0321365i | ||||||||
\(786\) | 0.320053 | − | 0.0408896i | 0.0114159 | − | 0.00145848i | ||||
\(787\) | 2.32604 | − | 1.34294i | 0.0829143 | − | 0.0478706i | −0.457970 | − | 0.888968i | \(-0.651423\pi\) |
0.540884 | + | 0.841097i | \(0.318090\pi\) | |||||||
\(788\) | 2.96565 | + | 1.71222i | 0.105647 | + | 0.0609954i | ||||
\(789\) | −26.2118 | + | 3.34879i | −0.933166 | + | 0.119220i | ||||
\(790\) | 0.732635 | − | 0.422987i | 0.0260660 | − | 0.0150492i | ||||
\(791\) | 23.2176 | + | 44.6516i | 0.825523 | + | 1.58763i | ||||
\(792\) | −16.3272 | + | 4.24112i | −0.580162 | + | 0.150702i | ||||
\(793\) | −9.55572 | + | 18.4201i | −0.339334 | + | 0.654117i | ||||
\(794\) | −6.95744 | + | 12.0506i | −0.246910 | + | 0.427661i | ||||
\(795\) | 2.74157 | − | 0.350260i | 0.0972335 | − | 0.0124224i | ||||
\(796\) | 3.23419 | + | 1.86726i | 0.114633 | + | 0.0661832i | ||||
\(797\) | 5.47949 | − | 9.49076i | 0.194094 | − | 0.336180i | −0.752509 | − | 0.658581i | \(-0.771157\pi\) |
0.946603 | + | 0.322402i | \(0.104490\pi\) | |||||||
\(798\) | 14.4982 | + | 20.8961i | 0.513231 | + | 0.739714i | ||||
\(799\) | −5.37350 | + | 9.30718i | −0.190101 | + | 0.329264i | ||||
\(800\) | − | 4.49292i | − | 0.158849i | ||||||
\(801\) | −9.24076 | + | 33.4599i | −0.326506 | + | 1.18225i | ||||
\(802\) | −5.32424 | − | 9.22185i | −0.188005 | − | 0.325635i | ||||
\(803\) | −27.7461 | + | 48.0577i | −0.979139 | + | 1.69592i | ||||
\(804\) | −4.87879 | + | 3.71403i | −0.172062 | + | 0.130984i | ||||
\(805\) | −7.29572 | + | 11.4402i | −0.257140 | + | 0.403213i | ||||
\(806\) | 0.0185063 | + | 0.410502i | 0.000651856 | + | 0.0144593i | ||||
\(807\) | 25.9889 | − | 19.7843i | 0.914852 | − | 0.696441i | ||||
\(808\) | 13.8469i | 0.487133i | ||||||||
\(809\) | − | 30.2391i | − | 1.06315i | −0.847011 | − | 0.531575i | \(-0.821600\pi\) | ||
0.847011 | − | 0.531575i | \(-0.178400\pi\) | |||||||
\(810\) | −3.11905 | − | 5.59867i | −0.109592 | − | 0.196717i | ||||
\(811\) | 39.3312i | 1.38110i | 0.723283 | + | 0.690552i | \(0.242632\pi\) | ||||
−0.723283 | + | 0.690552i | \(0.757368\pi\) | |||||||
\(812\) | 10.8981 | + | 20.9590i | 0.382449 | + | 0.735516i | ||||
\(813\) | 11.9362 | − | 28.5073i | 0.418621 | − | 0.999796i | ||||
\(814\) | −14.3001 | − | 24.7685i | −0.501217 | − | 0.868134i | ||||
\(815\) | −0.0909423 | − | 0.157517i | −0.00318557 | − | 0.00551757i | ||||
\(816\) | 0.423731 | + | 3.31665i | 0.0148335 | + | 0.116106i | ||||
\(817\) | −38.7143 | − | 22.3517i | −1.35444 | − | 0.781987i | ||||
\(818\) | −7.86197 | −0.274887 | ||||||||
\(819\) | −20.0999 | − | 20.3714i | −0.702348 | − | 0.711834i | ||||
\(820\) | −1.50653 | −0.0526102 | ||||||||
\(821\) | −40.6157 | − | 23.4495i | −1.41750 | − | 0.818392i | −0.421419 | − | 0.906866i | \(-0.638468\pi\) |
−0.996079 | + | 0.0884737i | \(0.971801\pi\) | |||||||
\(822\) | 1.00505 | + | 7.86680i | 0.0350552 | + | 0.274386i | ||||
\(823\) | −6.46132 | − | 11.1913i | −0.225227 | − | 0.390105i | 0.731160 | − | 0.682206i | \(-0.238979\pi\) |
−0.956388 | + | 0.292101i | \(0.905646\pi\) | |||||||
\(824\) | 7.07342 | + | 12.2515i | 0.246414 | + | 0.426802i | ||||
\(825\) | 16.9002 | − | 40.3628i | 0.588389 | − | 1.40525i | ||||
\(826\) | −7.53910 | + | 11.8218i | −0.262319 | + | 0.411334i | ||||
\(827\) | 16.9160i | 0.588227i | 0.955771 | + | 0.294113i | \(0.0950244\pi\) | ||||
−0.955771 | + | 0.294113i | \(0.904976\pi\) | |||||||
\(828\) | 5.43196 | + | 20.9116i | 0.188774 | + | 0.726730i | ||||
\(829\) | − | 19.7594i | − | 0.686271i | −0.939286 | − | 0.343135i | \(-0.888511\pi\) | ||
0.939286 | − | 0.343135i | \(-0.111489\pi\) | |||||||
\(830\) | 12.7093i | 0.441145i | ||||||||
\(831\) | 39.3902 | − | 29.9862i | 1.36643 | − | 1.04021i | ||||
\(832\) | 3.20052 | + | 1.66032i | 0.110958 | + | 0.0575613i | ||||
\(833\) | −7.76109 | + | 11.0620i | −0.268906 | + | 0.383274i | ||||
\(834\) | −14.7819 | + | 11.2529i | −0.511854 | + | 0.389654i | ||||
\(835\) | −5.13380 | + | 8.89199i | −0.177662 | + | 0.307720i | ||||
\(836\) | −15.6038 | − | 27.0265i | −0.539668 | − | 0.934732i | ||||
\(837\) | −0.0840366 | + | 0.586204i | −0.00290473 | + | 0.0202622i | ||||
\(838\) | 23.1182i | 0.798605i | ||||||||
\(839\) | 14.9976 | − | 25.9767i | 0.517776 | − | 0.896814i | −0.482011 | − | 0.876165i | \(-0.660093\pi\) |
0.999787 | − | 0.0206490i | \(-0.00657324\pi\) | |||||||
\(840\) | 0.270439 | + | 3.25201i | 0.00933105 | + | 0.112205i | ||||
\(841\) | 25.3606 | − | 43.9258i | 0.874502 | − | 1.51468i | ||||
\(842\) | −2.99890 | − | 1.73142i | −0.103349 | − | 0.0596685i | ||||
\(843\) | 0.133605 | − | 0.0170693i | 0.00460161 | − | 0.000587897i | ||||
\(844\) | 4.16920 | − | 7.22126i | 0.143510 | − | 0.248566i | ||||
\(845\) | −3.88846 | + | 8.40098i | −0.133767 | + | 0.289002i | ||||
\(846\) | 4.19898 | + | 16.1650i | 0.144364 | + | 0.555764i | ||||
\(847\) | 45.9942 | + | 29.3317i | 1.58038 | + | 1.00785i | ||||
\(848\) | −1.94065 | + | 1.12043i | −0.0666422 | + | 0.0384759i | ||||
\(849\) | 21.2639 | − | 2.71665i | 0.729775 | − | 0.0932353i | ||||
\(850\) | −7.51127 | − | 4.33663i | −0.257634 | − | 0.148745i | ||||
\(851\) | −31.7231 | + | 18.3153i | −1.08745 | + | 0.627841i | ||||
\(852\) | −11.8474 | + | 1.51361i | −0.405885 | + | 0.0518554i | ||||
\(853\) | − | 16.0180i | − | 0.548447i | −0.961666 | − | 0.274223i | \(-0.911579\pi\) | ||
0.961666 | − | 0.274223i | \(-0.0884208\pi\) | |||||||
\(854\) | 13.5100 | − | 7.02483i | 0.462303 | − | 0.240385i | ||||
\(855\) | 8.44764 | − | 8.31923i | 0.288903 | − | 0.284512i | ||||
\(856\) | −1.05054 | + | 1.81959i | −0.0359068 | + | 0.0621924i | ||||
\(857\) | −9.52803 | + | 16.5030i | −0.325471 | + | 0.563733i | −0.981608 | − | 0.190909i | \(-0.938856\pi\) |
0.656136 | + | 0.754642i | \(0.272190\pi\) | |||||||
\(858\) | 22.5070 | + | 26.9546i | 0.768378 | + | 0.920214i | ||||
\(859\) | 30.8728 | − | 17.8244i | 1.05337 | − | 0.608162i | 0.129777 | − | 0.991543i | \(-0.458574\pi\) |
0.923590 | + | 0.383381i | \(0.125240\pi\) | |||||||
\(860\) | −2.86786 | − | 4.96729i | −0.0977933 | − | 0.169383i | ||||
\(861\) | −9.66165 | + | 0.803470i | −0.329268 | + | 0.0273822i | ||||
\(862\) | 5.38541 | − | 9.32780i | 0.183428 | − | 0.317706i | ||||
\(863\) | −25.4722 | + | 14.7064i | −0.867083 | + | 0.500610i | −0.866378 | − | 0.499389i | \(-0.833558\pi\) |
−0.000705000 | 1.00000i | \(0.500224\pi\) | ||||||||
\(864\) | 4.08578 | + | 3.21036i | 0.139001 | + | 0.109219i | ||||
\(865\) | 3.05407 | + | 5.28981i | 0.103842 | + | 0.179859i | ||||
\(866\) | 2.37150 | + | 4.10756i | 0.0805868 | + | 0.139580i | ||||
\(867\) | −21.2064 | − | 8.87926i | −0.720207 | − | 0.301556i | ||||
\(868\) | 0.162132 | − | 0.254234i | 0.00550311 | − | 0.00862925i | ||||
\(869\) | −5.78521 | + | 3.34009i | −0.196250 | + | 0.113305i | ||||
\(870\) | 8.76241 | − | 6.67048i | 0.297073 | − | 0.226150i | ||||
\(871\) | 11.3301 | + | 5.87768i | 0.383906 | + | 0.199157i | ||||
\(872\) | −9.65742 | − | 5.57572i | −0.327042 | − | 0.188818i | ||||
\(873\) | 25.2974 | + | 6.98650i | 0.856188 | + | 0.236457i | ||||
\(874\) | −34.6152 | + | 19.9851i | −1.17088 | + | 0.676005i | ||||
\(875\) | −15.0795 | − | 9.61661i | −0.509780 | − | 0.325101i | ||||
\(876\) | 16.9554 | − | 2.16620i | 0.572869 | − | 0.0731891i | ||||
\(877\) | 3.16999 | 0.107043 | 0.0535214 | − | 0.998567i | \(-0.482955\pi\) | ||||
0.0535214 | + | 0.998567i | \(0.482955\pi\) | |||||||
\(878\) | 1.50165 | + | 2.60093i | 0.0506781 | + | 0.0877771i | ||||
\(879\) | −31.8691 | − | 13.3438i | −1.07492 | − | 0.450075i | ||||
\(880\) | − | 4.00413i | − | 0.134979i | ||||||
\(881\) | 13.8686 | + | 24.0212i | 0.467246 | + | 0.809294i | 0.999300 | − | 0.0374164i | \(-0.0119128\pi\) |
−0.532053 | + | 0.846711i | \(0.678579\pi\) | |||||||
\(882\) | 3.46876 | + | 20.7115i | 0.116799 | + | 0.697394i | ||||
\(883\) | −23.3149 | −0.784610 | −0.392305 | − | 0.919835i | \(-0.628322\pi\) | ||||
−0.392305 | + | 0.919835i | \(0.628322\pi\) | |||||||
\(884\) | 5.86492 | − | 3.74807i | 0.197259 | − | 0.126061i | ||||
\(885\) | 6.02917 | + | 2.52445i | 0.202668 | + | 0.0848586i | ||||
\(886\) | 3.30461 | 0.111021 | ||||||||
\(887\) | 5.85620 | − | 10.1432i | 0.196632 | − | 0.340576i | −0.750802 | − | 0.660527i | \(-0.770333\pi\) |
0.947434 | + | 0.319950i | \(0.103666\pi\) | |||||||
\(888\) | −3.40245 | + | 8.12610i | −0.114179 | + | 0.272694i | ||||
\(889\) | −1.65903 | + | 37.5948i | −0.0556421 | + | 1.26089i | ||||
\(890\) | −7.13564 | − | 4.11976i | −0.239187 | − | 0.138095i | ||||
\(891\) | 24.6294 | + | 44.2095i | 0.825114 | + | 1.48107i | ||||
\(892\) | −7.22474 | − | 4.17120i | −0.241902 | − | 0.139662i | ||||
\(893\) | −26.7580 | + | 15.4488i | −0.895423 | + | 0.516973i | ||||
\(894\) | −35.3136 | − | 14.7860i | −1.18106 | − | 0.494519i | ||||
\(895\) | 11.3807 | − | 6.57064i | 0.380414 | − | 0.219632i | ||||
\(896\) | −1.22057 | − | 2.34738i | −0.0407765 | − | 0.0784205i | ||||
\(897\) | 34.5230 | − | 28.8267i | 1.15269 | − | 0.962495i | ||||
\(898\) | 0.291780 | + | 0.505378i | 0.00973682 | + | 0.0168647i | ||||
\(899\) | −1.01758 | −0.0339384 | ||||||||
\(900\) | −13.0458 | + | 3.38875i | −0.434861 | + | 0.112958i | ||||
\(901\) | 4.32584i | 0.144115i | ||||||||
\(902\) | 11.8962 | 0.396100 | ||||||||
\(903\) | −21.0414 | − | 30.3267i | −0.700213 | − | 1.00921i | ||||
\(904\) | −9.51093 | + | 16.4734i | −0.316329 | + | 0.547898i | ||||
\(905\) | 5.29114 | − | 3.05484i | 0.175883 | − | 0.101546i | ||||
\(906\) | 3.06829 | + | 4.03054i | 0.101937 | + | 0.133906i | ||||
\(907\) | 32.3094 | 1.07282 | 0.536409 | − | 0.843958i | \(-0.319781\pi\) | ||||
0.536409 | + | 0.843958i | \(0.319781\pi\) | |||||||
\(908\) | −5.79685 | + | 10.0404i | −0.192375 | + | 0.333204i | ||||
\(909\) | 40.2065 | − | 10.4439i | 1.33357 | − | 0.346404i | ||||
\(910\) | 5.87964 | − | 3.40207i | 0.194908 | − | 0.112778i | ||||
\(911\) | 42.2413i | 1.39952i | 0.714380 | + | 0.699758i | \(0.246709\pi\) | ||||
−0.714380 | + | 0.699758i | \(0.753291\pi\) | |||||||
\(912\) | −3.71265 | + | 8.86694i | −0.122938 | + | 0.293614i | ||||
\(913\) | − | 100.358i | − | 3.32136i | ||||||
\(914\) | 25.4136 | − | 14.6725i | 0.840607 | − | 0.485325i | ||||
\(915\) | −4.29974 | − | 5.64818i | −0.142145 | − | 0.186723i | ||||
\(916\) | −8.81586 | − | 5.08984i | −0.291284 | − | 0.168173i | ||||
\(917\) | −0.0217285 | + | 0.492383i | −0.000717538 | + | 0.0162599i | ||||
\(918\) | 9.31075 | − | 3.73192i | 0.307300 | − | 0.123172i | ||||
\(919\) | −46.7942 | −1.54360 | −0.771800 | − | 0.635866i | \(-0.780643\pi\) | ||||
−0.771800 | + | 0.635866i | \(0.780643\pi\) | |||||||
\(920\) | −5.12842 | −0.169079 | ||||||||
\(921\) | 27.3099 | − | 3.48908i | 0.899892 | − | 0.114969i | ||||
\(922\) | 23.3687 | − | 13.4919i | 0.769608 | − | 0.444334i | ||||
\(923\) | 13.3885 | + | 20.9501i | 0.440688 | + | 0.689581i | ||||
\(924\) | −2.13551 | − | 25.6793i | −0.0702531 | − | 0.844786i | ||||
\(925\) | −11.4261 | − | 19.7906i | −0.375687 | − | 0.650710i | ||||
\(926\) | 18.5432 | + | 10.7059i | 0.609366 | + | 0.351818i | ||||
\(927\) | 30.2389 | − | 29.7793i | 0.993177 | − | 0.978080i | ||||
\(928\) | −4.46433 | + | 7.73245i | −0.146549 | + | 0.253830i | ||||
\(929\) | −25.7279 | −0.844104 | −0.422052 | − | 0.906572i | \(-0.638690\pi\) | ||||
−0.422052 | + | 0.906572i | \(0.638690\pi\) | |||||||
\(930\) | −0.129660 | − | 0.0542895i | −0.00425172 | − | 0.00178022i | ||||
\(931\) | −35.2252 | + | 16.3857i | −1.15446 | + | 0.537019i | ||||
\(932\) | −6.98379 | − | 4.03209i | −0.228762 | − | 0.132076i | ||||
\(933\) | −0.875497 | − | 0.366577i | −0.0286625 | − | 0.0120012i | ||||
\(934\) | 4.61153i | 0.150894i | ||||||||
\(935\) | −6.69411 | − | 3.86485i | −0.218921 | − | 0.126394i | ||||
\(936\) | 2.40700 | − | 10.5454i | 0.0786753 | − | 0.344689i | ||||
\(937\) | 5.97400i | 0.195162i | 0.995228 | + | 0.0975810i | \(0.0311105\pi\) | ||||
−0.995228 | + | 0.0975810i | \(0.968889\pi\) | |||||||
\(938\) | −4.32094 | − | 8.30993i | −0.141084 | − | 0.271329i | ||||
\(939\) | 22.5057 | + | 29.5638i | 0.734447 | + | 0.964777i | ||||
\(940\) | −3.96435 | −0.129303 | ||||||||
\(941\) | −7.49783 | + | 12.9866i | −0.244422 | + | 0.423352i | −0.961969 | − | 0.273158i | \(-0.911932\pi\) |
0.717547 | + | 0.696510i | \(0.245265\pi\) | |||||||
\(942\) | −1.74258 | + | 1.32656i | −0.0567765 | + | 0.0432217i | ||||
\(943\) | − | 15.2364i | − | 0.496167i | ||||||
\(944\) | −5.29951 | −0.172484 | ||||||||
\(945\) | 9.23868 | − | 3.23806i | 0.300534 | − | 0.105334i | ||||
\(946\) | 22.6459 | + | 39.2239i | 0.736282 | + | 1.27528i | ||||
\(947\) | 15.1520 | + | 8.74799i | 0.492372 | + | 0.284271i | 0.725558 | − | 0.688161i | \(-0.241582\pi\) |
−0.233186 | + | 0.972432i | \(0.574915\pi\) | |||||||
\(948\) | 1.89803 | + | 0.794716i | 0.0616450 | + | 0.0258112i | ||||
\(949\) | −19.1609 | − | 29.9827i | −0.621990 | − | 0.973279i | ||||
\(950\) | −12.4678 | − | 21.5948i | −0.404508 | − | 0.700628i | ||||
\(951\) | 8.53618 | + | 11.2132i | 0.276804 | + | 0.363613i | ||||
\(952\) | −5.10247 | − | 0.225168i | −0.165372 | − | 0.00729775i | ||||
\(953\) | 19.2038 | + | 11.0873i | 0.622071 | + | 0.359153i | 0.777675 | − | 0.628667i | \(-0.216399\pi\) |
−0.155604 | + | 0.987819i | \(0.549732\pi\) | |||||||
\(954\) | 4.71706 | + | 4.78987i | 0.152720 | + | 0.155078i | ||||
\(955\) | 5.85029 | − | 3.37767i | 0.189311 | − | 0.109299i | ||||
\(956\) | −3.34945 | + | 1.93380i | −0.108329 | + | 0.0625437i | ||||
\(957\) | −69.1918 | + | 52.6730i | −2.23665 | + | 1.70268i | ||||
\(958\) | 8.92420 | + | 5.15239i | 0.288328 | + | 0.166466i | ||||
\(959\) | −12.1026 | − | 0.534080i | −0.390814 | − | 0.0172463i | ||||
\(960\) | −0.981379 | + | 0.747085i | −0.0316739 | + | 0.0241121i | ||||
\(961\) | −15.4935 | − | 26.8355i | −0.499791 | − | 0.865663i | ||||
\(962\) | 18.3202 | − | 0.825912i | 0.590666 | − | 0.0266285i | ||||
\(963\) | 6.07580 | + | 1.67798i | 0.195790 | + | 0.0540722i | ||||
\(964\) | 8.01620 | + | 4.62815i | 0.258184 | + | 0.149063i | ||||
\(965\) | −4.57743 | − | 7.92834i | −0.147353 | − | 0.255222i | ||||
\(966\) | −32.8896 | + | 2.73513i | −1.05821 | + | 0.0880012i | ||||
\(967\) | −24.8261 | −0.798355 | −0.399177 | − | 0.916874i | \(-0.630704\pi\) | ||||
−0.399177 | + | 0.916874i | \(0.630704\pi\) | |||||||
\(968\) | 20.6183i | 0.662699i | ||||||||
\(969\) | 11.2403 | + | 14.7653i | 0.361089 | + | 0.474330i | ||||
\(970\) | −3.11476 | + | 5.39492i | −0.100009 | + | 0.173220i | ||||
\(971\) | −34.2142 | −1.09799 | −0.548993 | − | 0.835827i | \(-0.684989\pi\) | ||||
−0.548993 | + | 0.835827i | \(0.684989\pi\) | |||||||
\(972\) | 6.24007 | − | 14.2850i | 0.200150 | − | 0.458192i | ||||
\(973\) | −13.0917 | − | 25.1776i | −0.419700 | − | 0.807157i | ||||
\(974\) | − | 1.90692i | − | 0.0611016i | ||||||
\(975\) | 17.9836 | + | 21.5373i | 0.575937 | + | 0.689746i | ||||
\(976\) | 4.98428 | + | 2.87767i | 0.159543 | + | 0.0921121i | ||||
\(977\) | − | 6.35990i | − | 0.203471i | −0.994811 | − | 0.101736i | \(-0.967560\pi\) | ||
0.994811 | − | 0.101736i | \(-0.0324396\pi\) | |||||||
\(978\) | 0.170864 | − | 0.408076i | 0.00546363 | − | 0.0130488i | ||||
\(979\) | 56.3461 | + | 32.5315i | 1.80083 | + | 1.03971i | ||||
\(980\) | −4.96529 | − | 0.439084i | −0.158610 | − | 0.0140260i | ||||
\(981\) | −8.90583 | + | 32.2471i | −0.284341 | + | 1.02957i | ||||
\(982\) | −33.2847 | −1.06216 | ||||||||
\(983\) | −6.74468 | + | 11.6821i | −0.215122 | + | 0.372602i | −0.953310 | − | 0.301992i | \(-0.902348\pi\) |
0.738188 | + | 0.674595i | \(0.235682\pi\) | |||||||
\(984\) | −2.21958 | − | 2.91566i | −0.0707575 | − | 0.0929477i | ||||
\(985\) | 2.11183 | + | 1.21927i | 0.0672885 | + | 0.0388490i | ||||
\(986\) | 8.61809 | + | 14.9270i | 0.274456 | + | 0.475371i | ||||
\(987\) | −25.4241 | + | 2.11429i | −0.809259 | + | 0.0672986i | ||||
\(988\) | 19.9904 | − | 0.901209i | 0.635979 | − | 0.0286713i | ||||
\(989\) | 50.2373 | − | 29.0045i | 1.59745 | − | 0.922290i | ||||
\(990\) | −11.6265 | + | 3.02008i | −0.369516 | + | 0.0959845i | ||||
\(991\) | −15.0078 | −0.476739 | −0.238370 | − | 0.971174i | \(-0.576613\pi\) | ||||
−0.238370 | + | 0.971174i | \(0.576613\pi\) | |||||||
\(992\) | 0.113968 | 0.00361850 | ||||||||
\(993\) | 2.62245 | + | 20.5266i | 0.0832210 | + | 0.651391i | ||||
\(994\) | 0.804324 | − | 18.2266i | 0.0255116 | − | 0.578111i | ||||
\(995\) | 2.30305 | + | 1.32967i | 0.0730116 | + | 0.0421533i | ||||
\(996\) | −24.5969 | + | 18.7247i | −0.779383 | + | 0.593314i | ||||
\(997\) | −29.7106 | + | 17.1534i | −0.940944 | + | 0.543254i | −0.890256 | − | 0.455460i | \(-0.849475\pi\) |
−0.0506881 | + | 0.998715i | \(0.516141\pi\) | |||||||
\(998\) | 3.90218i | 0.123521i | ||||||||
\(999\) | 26.1615 | + | 3.75045i | 0.827714 | + | 0.118659i |
(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.u.a.185.9 | ✓ | 76 | |
3.2 | odd | 2 | inner | 546.2.u.a.185.30 | yes | 76 | |
7.5 | odd | 6 | 546.2.bb.a.341.21 | yes | 76 | ||
13.9 | even | 3 | 546.2.bb.a.269.24 | yes | 76 | ||
21.5 | even | 6 | 546.2.bb.a.341.5 | yes | 76 | ||
39.35 | odd | 6 | 546.2.bb.a.269.2 | yes | 76 | ||
91.61 | odd | 6 | inner | 546.2.u.a.425.30 | yes | 76 | |
273.152 | even | 6 | inner | 546.2.u.a.425.9 | yes | 76 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.u.a.185.9 | ✓ | 76 | 1.1 | even | 1 | trivial | |
546.2.u.a.185.30 | yes | 76 | 3.2 | odd | 2 | inner | |
546.2.u.a.425.9 | yes | 76 | 273.152 | even | 6 | inner | |
546.2.u.a.425.30 | yes | 76 | 91.61 | odd | 6 | inner | |
546.2.bb.a.269.2 | yes | 76 | 39.35 | odd | 6 | ||
546.2.bb.a.269.24 | yes | 76 | 13.9 | even | 3 | ||
546.2.bb.a.341.5 | yes | 76 | 21.5 | even | 6 | ||
546.2.bb.a.341.21 | yes | 76 | 7.5 | odd | 6 |