Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(269,546)]
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, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.269");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bb (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 | 269.29 | ||
Character | \(\chi\) | \(=\) | 546.269 |
Dual form | 546.2.bb.a.341.10 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000i | 0.707107i | ||||||||
\(3\) | 0.0345880 | + | 1.73171i | 0.0199694 | + | 0.999801i | ||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | −0.699535 | − | 1.21163i | −0.312842 | − | 0.541858i | 0.666135 | − | 0.745831i | \(-0.267948\pi\) |
−0.978976 | + | 0.203974i | \(0.934614\pi\) | |||||||
\(6\) | −1.73171 | + | 0.0345880i | −0.706966 | + | 0.0141205i | ||||
\(7\) | −2.51159 | + | 0.831830i | −0.949290 | + | 0.314402i | ||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | −2.99761 | + | 0.119792i | −0.999202 | + | 0.0399308i | ||||
\(10\) | 1.21163 | − | 0.699535i | 0.383151 | − | 0.221212i | ||||
\(11\) | −1.09604 | + | 0.632798i | −0.330468 | + | 0.190796i | −0.656049 | − | 0.754718i | \(-0.727773\pi\) |
0.325581 | + | 0.945514i | \(0.394440\pi\) | |||||||
\(12\) | −0.0345880 | − | 1.73171i | −0.00998470 | − | 0.499900i | ||||
\(13\) | 3.58555 | − | 0.379286i | 0.994452 | − | 0.105195i | ||||
\(14\) | −0.831830 | − | 2.51159i | −0.222316 | − | 0.671249i | ||||
\(15\) | 2.07399 | − | 1.25330i | 0.535502 | − | 0.323600i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | −6.86805 | −1.66575 | −0.832873 | − | 0.553464i | \(-0.813306\pi\) | ||||
−0.832873 | + | 0.553464i | \(0.813306\pi\) | |||||||
\(18\) | −0.119792 | − | 2.99761i | −0.0282354 | − | 0.706543i | ||||
\(19\) | −3.99411 | − | 2.30600i | −0.916312 | − | 0.529033i | −0.0338555 | − | 0.999427i | \(-0.510779\pi\) |
−0.882457 | + | 0.470394i | \(0.844112\pi\) | |||||||
\(20\) | 0.699535 | + | 1.21163i | 0.156421 | + | 0.270929i | ||||
\(21\) | −1.52735 | − | 4.32055i | −0.333296 | − | 0.942822i | ||||
\(22\) | −0.632798 | − | 1.09604i | −0.134913 | − | 0.233676i | ||||
\(23\) | − | 2.51705i | − | 0.524840i | −0.964954 | − | 0.262420i | \(-0.915479\pi\) | ||
0.964954 | − | 0.262420i | \(-0.0845206\pi\) | |||||||
\(24\) | 1.73171 | − | 0.0345880i | 0.353483 | − | 0.00706025i | ||||
\(25\) | 1.52130 | − | 2.63497i | 0.304260 | − | 0.526994i | ||||
\(26\) | 0.379286 | + | 3.58555i | 0.0743840 | + | 0.703183i | ||||
\(27\) | −0.311127 | − | 5.18683i | −0.0598763 | − | 0.998206i | ||||
\(28\) | 2.51159 | − | 0.831830i | 0.474645 | − | 0.157201i | ||||
\(29\) | −4.55247 | − | 2.62837i | −0.845372 | − | 0.488076i | 0.0137143 | − | 0.999906i | \(-0.495634\pi\) |
−0.859087 | + | 0.511830i | \(0.828968\pi\) | |||||||
\(30\) | 1.25330 | + | 2.07399i | 0.228820 | + | 0.378657i | ||||
\(31\) | 4.41277 | + | 2.54772i | 0.792558 | + | 0.457583i | 0.840862 | − | 0.541249i | \(-0.182048\pi\) |
−0.0483045 | + | 0.998833i | \(0.515382\pi\) | |||||||
\(32\) | 1.00000i | 0.176777i | ||||||||
\(33\) | −1.13373 | − | 1.87613i | −0.197357 | − | 0.326592i | ||||
\(34\) | − | 6.86805i | − | 1.17786i | ||||||
\(35\) | 2.76481 | + | 2.46122i | 0.467339 | + | 0.416022i | ||||
\(36\) | 2.99761 | − | 0.119792i | 0.499601 | − | 0.0199654i | ||||
\(37\) | −6.91395 | −1.13665 | −0.568323 | − | 0.822805i | \(-0.692408\pi\) | ||||
−0.568323 | + | 0.822805i | \(0.692408\pi\) | |||||||
\(38\) | 2.30600 | − | 3.99411i | 0.374083 | − | 0.647931i | ||||
\(39\) | 0.780828 | + | 6.19599i | 0.125032 | + | 0.992153i | ||||
\(40\) | −1.21163 | + | 0.699535i | −0.191576 | + | 0.110606i | ||||
\(41\) | −3.22591 | + | 5.58745i | −0.503803 | + | 0.872613i | 0.496187 | + | 0.868216i | \(0.334733\pi\) |
−0.999990 | + | 0.00439709i | \(0.998600\pi\) | |||||||
\(42\) | 4.32055 | − | 1.52735i | 0.666676 | − | 0.235676i | ||||
\(43\) | 6.08396 | + | 10.5377i | 0.927796 | + | 1.60699i | 0.787002 | + | 0.616951i | \(0.211632\pi\) |
0.140794 | + | 0.990039i | \(0.455034\pi\) | |||||||
\(44\) | 1.09604 | − | 0.632798i | 0.165234 | − | 0.0953979i | ||||
\(45\) | 2.24208 | + | 3.54819i | 0.334229 | + | 0.528933i | ||||
\(46\) | 2.51705 | 0.371118 | ||||||||
\(47\) | 1.58414 | + | 2.74382i | 0.231071 | + | 0.400227i | 0.958124 | − | 0.286355i | \(-0.0924437\pi\) |
−0.727053 | + | 0.686582i | \(0.759110\pi\) | |||||||
\(48\) | 0.0345880 | + | 1.73171i | 0.00499235 | + | 0.249950i | ||||
\(49\) | 5.61612 | − | 4.17842i | 0.802303 | − | 0.596917i | ||||
\(50\) | 2.63497 | + | 1.52130i | 0.372641 | + | 0.215144i | ||||
\(51\) | −0.237552 | − | 11.8934i | −0.0332639 | − | 1.66541i | ||||
\(52\) | −3.58555 | + | 0.379286i | −0.497226 | + | 0.0525974i | ||||
\(53\) | 0.444106 | + | 0.256405i | 0.0610026 | + | 0.0352199i | 0.530191 | − | 0.847878i | \(-0.322120\pi\) |
−0.469188 | + | 0.883098i | \(0.655454\pi\) | |||||||
\(54\) | 5.18683 | − | 0.311127i | 0.705838 | − | 0.0423390i | ||||
\(55\) | 1.53343 | + | 0.885329i | 0.206768 | + | 0.119378i | ||||
\(56\) | 0.831830 | + | 2.51159i | 0.111158 | + | 0.335625i | ||||
\(57\) | 3.85517 | − | 6.99639i | 0.510629 | − | 0.926694i | ||||
\(58\) | 2.62837 | − | 4.55247i | 0.345122 | − | 0.597769i | ||||
\(59\) | −14.3744 | −1.87139 | −0.935693 | − | 0.352815i | \(-0.885224\pi\) | ||||
−0.935693 | + | 0.352815i | \(0.885224\pi\) | |||||||
\(60\) | −2.07399 | + | 1.25330i | −0.267751 | + | 0.161800i | ||||
\(61\) | −2.66263 | − | 1.53727i | −0.340915 | − | 0.196827i | 0.319762 | − | 0.947498i | \(-0.396397\pi\) |
−0.660676 | + | 0.750671i | \(0.729730\pi\) | |||||||
\(62\) | −2.54772 | + | 4.41277i | −0.323560 | + | 0.560423i | ||||
\(63\) | 7.42910 | − | 2.79437i | 0.935978 | − | 0.352057i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −2.96777 | − | 4.07903i | −0.368107 | − | 0.505942i | ||||
\(66\) | 1.87613 | − | 1.13373i | 0.230935 | − | 0.139552i | ||||
\(67\) | 0.312240 | + | 0.540816i | 0.0381462 | + | 0.0660711i | 0.884468 | − | 0.466601i | \(-0.154521\pi\) |
−0.846322 | + | 0.532672i | \(0.821188\pi\) | |||||||
\(68\) | 6.86805 | 0.832873 | ||||||||
\(69\) | 4.35878 | − | 0.0870596i | 0.524736 | − | 0.0104807i | ||||
\(70\) | −2.46122 | + | 2.76481i | −0.294172 | + | 0.330458i | ||||
\(71\) | −3.78894 | + | 2.18755i | −0.449665 | + | 0.259614i | −0.707689 | − | 0.706524i | \(-0.750262\pi\) |
0.258024 | + | 0.966139i | \(0.416929\pi\) | |||||||
\(72\) | 0.119792 | + | 2.99761i | 0.0141177 | + | 0.353271i | ||||
\(73\) | −7.24349 | − | 4.18203i | −0.847786 | − | 0.489470i | 0.0121171 | − | 0.999927i | \(-0.496143\pi\) |
−0.859903 | + | 0.510457i | \(0.829476\pi\) | |||||||
\(74\) | − | 6.91395i | − | 0.803730i | ||||||
\(75\) | 4.61561 | + | 2.54331i | 0.532965 | + | 0.293676i | ||||
\(76\) | 3.99411 | + | 2.30600i | 0.458156 | + | 0.264517i | ||||
\(77\) | 2.22641 | − | 2.50104i | 0.253723 | − | 0.285020i | ||||
\(78\) | −6.19599 | + | 0.780828i | −0.701558 | + | 0.0884113i | ||||
\(79\) | 7.13902 | + | 12.3651i | 0.803203 | + | 1.39119i | 0.917498 | + | 0.397741i | \(0.130206\pi\) |
−0.114295 | + | 0.993447i | \(0.536461\pi\) | |||||||
\(80\) | −0.699535 | − | 1.21163i | −0.0782104 | − | 0.135464i | ||||
\(81\) | 8.97130 | − | 0.718182i | 0.996811 | − | 0.0797980i | ||||
\(82\) | −5.58745 | − | 3.22591i | −0.617030 | − | 0.356243i | ||||
\(83\) | 3.52068 | 0.386444 | 0.193222 | − | 0.981155i | \(-0.438106\pi\) | ||||
0.193222 | + | 0.981155i | \(0.438106\pi\) | |||||||
\(84\) | 1.52735 | + | 4.32055i | 0.166648 | + | 0.471411i | ||||
\(85\) | 4.80444 | + | 8.32154i | 0.521115 | + | 0.902597i | ||||
\(86\) | −10.5377 | + | 6.08396i | −1.13631 | + | 0.656051i | ||||
\(87\) | 4.39410 | − | 7.97445i | 0.471097 | − | 0.854950i | ||||
\(88\) | 0.632798 | + | 1.09604i | 0.0674565 | + | 0.116838i | ||||
\(89\) | −15.8874 | −1.68406 | −0.842028 | − | 0.539434i | \(-0.818638\pi\) | ||||
−0.842028 | + | 0.539434i | \(0.818638\pi\) | |||||||
\(90\) | −3.54819 | + | 2.24208i | −0.374012 | + | 0.236336i | ||||
\(91\) | −8.68990 | + | 3.93517i | −0.910949 | + | 0.412518i | ||||
\(92\) | 2.51705i | 0.262420i | ||||||||
\(93\) | −4.25927 | + | 7.72975i | −0.441665 | + | 0.801537i | ||||
\(94\) | −2.74382 | + | 1.58414i | −0.283003 | + | 0.163392i | ||||
\(95\) | 6.45252i | 0.662014i | ||||||||
\(96\) | −1.73171 | + | 0.0345880i | −0.176741 | + | 0.00353012i | ||||
\(97\) | 2.18746 | − | 1.26293i | 0.222102 | − | 0.128231i | −0.384821 | − | 0.922991i | \(-0.625737\pi\) |
0.606923 | + | 0.794760i | \(0.292403\pi\) | |||||||
\(98\) | 4.17842 | + | 5.61612i | 0.422084 | + | 0.567314i | ||||
\(99\) | 3.20969 | − | 2.02818i | 0.322586 | − | 0.203839i | ||||
\(100\) | −1.52130 | + | 2.63497i | −0.152130 | + | 0.263497i | ||||
\(101\) | −4.21730 | − | 7.30458i | −0.419637 | − | 0.726833i | 0.576266 | − | 0.817262i | \(-0.304509\pi\) |
−0.995903 | + | 0.0904297i | \(0.971176\pi\) | |||||||
\(102\) | 11.8934 | − | 0.237552i | 1.17763 | − | 0.0235212i | ||||
\(103\) | −10.2521 | + | 5.91907i | −1.01017 | + | 0.583224i | −0.911242 | − | 0.411871i | \(-0.864876\pi\) |
−0.0989308 | + | 0.995094i | \(0.531542\pi\) | |||||||
\(104\) | −0.379286 | − | 3.58555i | −0.0371920 | − | 0.351592i | ||||
\(105\) | −4.16648 | + | 4.87297i | −0.406606 | + | 0.475553i | ||||
\(106\) | −0.256405 | + | 0.444106i | −0.0249042 | + | 0.0431354i | ||||
\(107\) | − | 2.08622i | − | 0.201683i | −0.994903 | − | 0.100841i | \(-0.967847\pi\) | ||
0.994903 | − | 0.100841i | \(-0.0321535\pi\) | |||||||
\(108\) | 0.311127 | + | 5.18683i | 0.0299382 | + | 0.499103i | ||||
\(109\) | −7.90043 | + | 13.6840i | −0.756724 | + | 1.31068i | 0.187788 | + | 0.982210i | \(0.439868\pi\) |
−0.944513 | + | 0.328475i | \(0.893465\pi\) | |||||||
\(110\) | −0.885329 | + | 1.53343i | −0.0844128 | + | 0.146207i | ||||
\(111\) | −0.239140 | − | 11.9729i | −0.0226981 | − | 1.13642i | ||||
\(112\) | −2.51159 | + | 0.831830i | −0.237322 | + | 0.0786005i | ||||
\(113\) | 10.6760 | − | 6.16378i | 1.00431 | − | 0.579840i | 0.0947910 | − | 0.995497i | \(-0.469782\pi\) |
0.909521 | + | 0.415657i | \(0.136448\pi\) | |||||||
\(114\) | 6.99639 | + | 3.85517i | 0.655272 | + | 0.361069i | ||||
\(115\) | −3.04973 | + | 1.76076i | −0.284389 | + | 0.164192i | ||||
\(116\) | 4.55247 | + | 2.62837i | 0.422686 | + | 0.244038i | ||||
\(117\) | −10.7026 | + | 1.56647i | −0.989458 | + | 0.144820i | ||||
\(118\) | − | 14.3744i | − | 1.32327i | ||||||
\(119\) | 17.2497 | − | 5.71305i | 1.58128 | − | 0.523714i | ||||
\(120\) | −1.25330 | − | 2.07399i | −0.114410 | − | 0.189329i | ||||
\(121\) | −4.69913 | + | 8.13914i | −0.427194 | + | 0.739922i | ||||
\(122\) | 1.53727 | − | 2.66263i | 0.139178 | − | 0.241063i | ||||
\(123\) | −9.78739 | − | 5.39307i | −0.882499 | − | 0.486277i | ||||
\(124\) | −4.41277 | − | 2.54772i | −0.396279 | − | 0.228792i | ||||
\(125\) | −11.2522 | −1.00642 | ||||||||
\(126\) | 2.79437 | + | 7.42910i | 0.248942 | + | 0.661837i | ||||
\(127\) | 4.41803 | − | 7.65224i | 0.392036 | − | 0.679027i | −0.600682 | − | 0.799488i | \(-0.705104\pi\) |
0.992718 | + | 0.120461i | \(0.0384374\pi\) | |||||||
\(128\) | − | 1.00000i | − | 0.0883883i | ||||||
\(129\) | −18.0378 | + | 10.9001i | −1.58814 | + | 0.959701i | ||||
\(130\) | 4.07903 | − | 2.96777i | 0.357755 | − | 0.260291i | ||||
\(131\) | 8.68707 | + | 15.0464i | 0.758993 | + | 1.31461i | 0.943365 | + | 0.331757i | \(0.107642\pi\) |
−0.184372 | + | 0.982857i | \(0.559025\pi\) | |||||||
\(132\) | 1.13373 | + | 1.87613i | 0.0986785 | + | 0.163296i | ||||
\(133\) | 11.9498 | + | 2.46930i | 1.03617 | + | 0.214115i | ||||
\(134\) | −0.540816 | + | 0.312240i | −0.0467194 | + | 0.0269734i | ||||
\(135\) | −6.06688 | + | 4.00534i | −0.522154 | + | 0.344725i | ||||
\(136\) | 6.86805i | 0.588930i | ||||||||
\(137\) | − | 7.08381i | − | 0.605210i | −0.953116 | − | 0.302605i | \(-0.902144\pi\) | ||
0.953116 | − | 0.302605i | \(-0.0978564\pi\) | |||||||
\(138\) | 0.0870596 | + | 4.35878i | 0.00741101 | + | 0.371044i | ||||
\(139\) | −1.93885 | + | 1.11939i | −0.164451 | + | 0.0949457i | −0.579967 | − | 0.814640i | \(-0.696934\pi\) |
0.415516 | + | 0.909586i | \(0.363601\pi\) | |||||||
\(140\) | −2.76481 | − | 2.46122i | −0.233669 | − | 0.208011i | ||||
\(141\) | −4.69669 | + | 2.83817i | −0.395533 | + | 0.239017i | ||||
\(142\) | −2.18755 | − | 3.78894i | −0.183575 | − | 0.317961i | ||||
\(143\) | −3.68989 | + | 2.68464i | −0.308564 | + | 0.224501i | ||||
\(144\) | −2.99761 | + | 0.119792i | −0.249801 | + | 0.00998271i | ||||
\(145\) | 7.35455i | 0.610762i | ||||||||
\(146\) | 4.18203 | − | 7.24349i | 0.346107 | − | 0.599475i | ||||
\(147\) | 7.43005 | + | 9.58094i | 0.612820 | + | 0.790223i | ||||
\(148\) | 6.91395 | 0.568323 | ||||||||
\(149\) | 8.65889 | + | 4.99921i | 0.709364 | + | 0.409552i | 0.810826 | − | 0.585288i | \(-0.199019\pi\) |
−0.101461 | + | 0.994839i | \(0.532352\pi\) | |||||||
\(150\) | −2.54331 | + | 4.61561i | −0.207660 | + | 0.376863i | ||||
\(151\) | 3.60495 | − | 6.24397i | 0.293367 | − | 0.508127i | −0.681237 | − | 0.732063i | \(-0.738558\pi\) |
0.974604 | + | 0.223937i | \(0.0718909\pi\) | |||||||
\(152\) | −2.30600 | + | 3.99411i | −0.187041 | + | 0.323965i | ||||
\(153\) | 20.5877 | − | 0.822741i | 1.66442 | − | 0.0665146i | ||||
\(154\) | 2.50104 | + | 2.22641i | 0.201540 | + | 0.179409i | ||||
\(155\) | − | 7.12887i | − | 0.572605i | ||||||
\(156\) | −0.780828 | − | 6.19599i | −0.0625162 | − | 0.496076i | ||||
\(157\) | −5.32283 | − | 3.07314i | −0.424808 | − | 0.245263i | 0.272324 | − | 0.962206i | \(-0.412208\pi\) |
−0.697132 | + | 0.716942i | \(0.745541\pi\) | |||||||
\(158\) | −12.3651 | + | 7.13902i | −0.983718 | + | 0.567950i | ||||
\(159\) | −0.428656 | + | 0.777929i | −0.0339947 | + | 0.0616938i | ||||
\(160\) | 1.21163 | − | 0.699535i | 0.0957878 | − | 0.0553031i | ||||
\(161\) | 2.09375 | + | 6.32178i | 0.165011 | + | 0.498226i | ||||
\(162\) | 0.718182 | + | 8.97130i | 0.0564257 | + | 0.704852i | ||||
\(163\) | 6.89482 | − | 11.9422i | 0.540044 | − | 0.935384i | −0.458857 | − | 0.888510i | \(-0.651741\pi\) |
0.998901 | − | 0.0468738i | \(-0.0149259\pi\) | |||||||
\(164\) | 3.22591 | − | 5.58745i | 0.251902 | − | 0.436306i | ||||
\(165\) | −1.48009 | + | 2.68608i | −0.115225 | + | 0.209111i | ||||
\(166\) | 3.52068i | 0.273258i | ||||||||
\(167\) | −7.46828 | + | 12.9354i | −0.577913 | + | 1.00097i | 0.417805 | + | 0.908537i | \(0.362799\pi\) |
−0.995718 | + | 0.0924384i | \(0.970534\pi\) | |||||||
\(168\) | −4.32055 | + | 1.52735i | −0.333338 | + | 0.117838i | ||||
\(169\) | 12.7123 | − | 2.71989i | 0.977868 | − | 0.209222i | ||||
\(170\) | −8.32154 | + | 4.80444i | −0.638233 | + | 0.368484i | ||||
\(171\) | 12.2490 | + | 6.43402i | 0.936706 | + | 0.492022i | ||||
\(172\) | −6.08396 | − | 10.5377i | −0.463898 | − | 0.803495i | ||||
\(173\) | −2.74366 | + | 4.75216i | −0.208597 | + | 0.361300i | −0.951273 | − | 0.308351i | \(-0.900223\pi\) |
0.742676 | + | 0.669651i | \(0.233556\pi\) | |||||||
\(174\) | 7.97445 | + | 4.39410i | 0.604541 | + | 0.333116i | ||||
\(175\) | −1.62903 | + | 7.88342i | −0.123143 | + | 0.595930i | ||||
\(176\) | −1.09604 | + | 0.632798i | −0.0826170 | + | 0.0476989i | ||||
\(177\) | −0.497181 | − | 24.8922i | −0.0373704 | − | 1.87101i | ||||
\(178\) | − | 15.8874i | − | 1.19081i | ||||||
\(179\) | 5.38969 | − | 3.11174i | 0.402844 | − | 0.232582i | −0.284866 | − | 0.958567i | \(-0.591949\pi\) |
0.687710 | + | 0.725985i | \(0.258616\pi\) | |||||||
\(180\) | −2.24208 | − | 3.54819i | −0.167114 | − | 0.264467i | ||||
\(181\) | − | 10.2706i | − | 0.763407i | −0.924285 | − | 0.381704i | \(-0.875337\pi\) | ||
0.924285 | − | 0.381704i | \(-0.124663\pi\) | |||||||
\(182\) | −3.93517 | − | 8.68990i | −0.291694 | − | 0.644138i | ||||
\(183\) | 2.57000 | − | 4.66406i | 0.189980 | − | 0.344777i | ||||
\(184\) | −2.51705 | −0.185559 | ||||||||
\(185\) | 4.83655 | + | 8.37715i | 0.355590 | + | 0.615900i | ||||
\(186\) | −7.72975 | − | 4.25927i | −0.566773 | − | 0.312305i | ||||
\(187\) | 7.52764 | − | 4.34609i | 0.550476 | − | 0.317817i | ||||
\(188\) | −1.58414 | − | 2.74382i | −0.115536 | − | 0.200113i | ||||
\(189\) | 5.09598 | + | 12.7684i | 0.370678 | + | 0.928761i | ||||
\(190\) | −6.45252 | −0.468115 | ||||||||
\(191\) | −8.41156 | − | 4.85641i | −0.608639 | − | 0.351398i | 0.163794 | − | 0.986495i | \(-0.447627\pi\) |
−0.772433 | + | 0.635097i | \(0.780960\pi\) | |||||||
\(192\) | −0.0345880 | − | 1.73171i | −0.00249617 | − | 0.124975i | ||||
\(193\) | −2.73242 | − | 4.73270i | −0.196684 | − | 0.340667i | 0.750767 | − | 0.660567i | \(-0.229684\pi\) |
−0.947451 | + | 0.319900i | \(0.896351\pi\) | |||||||
\(194\) | 1.26293 | + | 2.18746i | 0.0906729 | + | 0.157050i | ||||
\(195\) | 6.96104 | − | 5.28039i | 0.498490 | − | 0.378136i | ||||
\(196\) | −5.61612 | + | 4.17842i | −0.401151 | + | 0.298459i | ||||
\(197\) | 22.5837 | + | 13.0387i | 1.60902 | + | 0.928971i | 0.989589 | + | 0.143923i | \(0.0459718\pi\) |
0.619435 | + | 0.785048i | \(0.287362\pi\) | |||||||
\(198\) | 2.02818 | + | 3.20969i | 0.144136 | + | 0.228103i | ||||
\(199\) | 13.7069i | 0.971655i | 0.874055 | + | 0.485828i | \(0.161482\pi\) | ||||
−0.874055 | + | 0.485828i | \(0.838518\pi\) | |||||||
\(200\) | −2.63497 | − | 1.52130i | −0.186321 | − | 0.107572i | ||||
\(201\) | −0.925734 | + | 0.559414i | −0.0652962 | + | 0.0394580i | ||||
\(202\) | 7.30458 | − | 4.21730i | 0.513948 | − | 0.296728i | ||||
\(203\) | 13.6203 | + | 2.81449i | 0.955956 | + | 0.197539i | ||||
\(204\) | 0.237552 | + | 11.8934i | 0.0166320 | + | 0.832707i | ||||
\(205\) | 9.02656 | 0.630442 | ||||||||
\(206\) | −5.91907 | − | 10.2521i | −0.412401 | − | 0.714300i | ||||
\(207\) | 0.301523 | + | 7.54512i | 0.0209573 | + | 0.524422i | ||||
\(208\) | 3.58555 | − | 0.379286i | 0.248613 | − | 0.0262987i | ||||
\(209\) | 5.83693 | 0.403749 | ||||||||
\(210\) | −4.87297 | − | 4.16648i | −0.336267 | − | 0.287514i | ||||
\(211\) | 6.43745 | − | 11.1500i | 0.443172 | − | 0.767597i | −0.554751 | − | 0.832017i | \(-0.687186\pi\) |
0.997923 | + | 0.0644199i | \(0.0205197\pi\) | |||||||
\(212\) | −0.444106 | − | 0.256405i | −0.0305013 | − | 0.0176099i | ||||
\(213\) | −3.91924 | − | 6.48567i | −0.268542 | − | 0.444391i | ||||
\(214\) | 2.08622 | 0.142611 | ||||||||
\(215\) | 8.51189 | − | 14.7430i | 0.580506 | − | 1.00547i | ||||
\(216\) | −5.18683 | + | 0.311127i | −0.352919 | + | 0.0211695i | ||||
\(217\) | −13.2023 | − | 2.72813i | −0.896232 | − | 0.185198i | ||||
\(218\) | −13.6840 | − | 7.90043i | −0.926794 | − | 0.535085i | ||||
\(219\) | 6.99151 | − | 12.6882i | 0.472442 | − | 0.857392i | ||||
\(220\) | −1.53343 | − | 0.885329i | −0.103384 | − | 0.0596889i | ||||
\(221\) | −24.6257 | + | 2.60495i | −1.65650 | + | 0.175228i | ||||
\(222\) | 11.9729 | − | 0.239140i | 0.803570 | − | 0.0160500i | ||||
\(223\) | −17.8707 | − | 10.3176i | −1.19671 | − | 0.690919i | −0.236888 | − | 0.971537i | \(-0.576127\pi\) |
−0.959820 | + | 0.280618i | \(0.909461\pi\) | |||||||
\(224\) | −0.831830 | − | 2.51159i | −0.0555790 | − | 0.167812i | ||||
\(225\) | −4.24461 | + | 8.08085i | −0.282974 | + | 0.538723i | ||||
\(226\) | 6.16378 | + | 10.6760i | 0.410009 | + | 0.710156i | ||||
\(227\) | 18.2051 | 1.20831 | 0.604157 | − | 0.796865i | \(-0.293510\pi\) | ||||
0.604157 | + | 0.796865i | \(0.293510\pi\) | |||||||
\(228\) | −3.85517 | + | 6.99639i | −0.255315 | + | 0.463347i | ||||
\(229\) | −16.0335 | + | 9.25697i | −1.05953 | + | 0.611717i | −0.925301 | − | 0.379233i | \(-0.876188\pi\) |
−0.134225 | + | 0.990951i | \(0.542854\pi\) | |||||||
\(230\) | −1.76076 | − | 3.04973i | −0.116101 | − | 0.201093i | ||||
\(231\) | 4.40808 | + | 3.76899i | 0.290030 | + | 0.247981i | ||||
\(232\) | −2.62837 | + | 4.55247i | −0.172561 | + | 0.298884i | ||||
\(233\) | 9.27681 | − | 5.35597i | 0.607744 | − | 0.350881i | −0.164338 | − | 0.986404i | \(-0.552549\pi\) |
0.772082 | + | 0.635523i | \(0.219215\pi\) | |||||||
\(234\) | −1.56647 | − | 10.7026i | −0.102403 | − | 0.699652i | ||||
\(235\) | 2.21633 | − | 3.83879i | 0.144577 | − | 0.250415i | ||||
\(236\) | 14.3744 | 0.935693 | ||||||||
\(237\) | −21.1659 | + | 12.7904i | −1.37487 | + | 0.830824i | ||||
\(238\) | 5.71305 | + | 17.2497i | 0.370322 | + | 1.11813i | ||||
\(239\) | − | 3.88709i | − | 0.251435i | −0.992066 | − | 0.125718i | \(-0.959877\pi\) | ||
0.992066 | − | 0.125718i | \(-0.0401233\pi\) | |||||||
\(240\) | 2.07399 | − | 1.25330i | 0.133876 | − | 0.0809000i | ||||
\(241\) | − | 6.18514i | − | 0.398420i | −0.979957 | − | 0.199210i | \(-0.936162\pi\) | ||
0.979957 | − | 0.199210i | \(-0.0638376\pi\) | |||||||
\(242\) | −8.13914 | − | 4.69913i | −0.523204 | − | 0.302072i | ||||
\(243\) | 1.55398 | + | 15.5108i | 0.0996878 | + | 0.995019i | ||||
\(244\) | 2.66263 | + | 1.53727i | 0.170457 | + | 0.0984136i | ||||
\(245\) | −8.99138 | − | 3.88171i | −0.574438 | − | 0.247993i | ||||
\(246\) | 5.39307 | − | 9.78739i | 0.343850 | − | 0.624021i | ||||
\(247\) | −15.1957 | − | 6.75337i | −0.966880 | − | 0.429706i | ||||
\(248\) | 2.54772 | − | 4.41277i | 0.161780 | − | 0.280211i | ||||
\(249\) | 0.121773 | + | 6.09678i | 0.00771706 | + | 0.386367i | ||||
\(250\) | − | 11.2522i | − | 0.711649i | ||||||
\(251\) | −0.889061 | − | 1.53990i | −0.0561171 | − | 0.0971976i | 0.836602 | − | 0.547811i | \(-0.184539\pi\) |
−0.892719 | + | 0.450613i | \(0.851205\pi\) | |||||||
\(252\) | −7.42910 | + | 2.79437i | −0.467989 | + | 0.176029i | ||||
\(253\) | 1.59278 | + | 2.75878i | 0.100137 | + | 0.173443i | ||||
\(254\) | 7.65224 | + | 4.41803i | 0.480145 | + | 0.277212i | ||||
\(255\) | −14.2443 | + | 8.60770i | −0.892011 | + | 0.539035i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −12.0249 | −0.750094 | −0.375047 | − | 0.927006i | \(-0.622373\pi\) | ||||
−0.375047 | + | 0.927006i | \(0.622373\pi\) | |||||||
\(258\) | −10.9001 | − | 18.0378i | −0.678611 | − | 1.12299i | ||||
\(259\) | 17.3650 | − | 5.75123i | 1.07901 | − | 0.357364i | ||||
\(260\) | 2.96777 | + | 4.07903i | 0.184053 | + | 0.252971i | ||||
\(261\) | 13.9614 | + | 7.33347i | 0.864188 | + | 0.453930i | ||||
\(262\) | −15.0464 | + | 8.68707i | −0.929572 | + | 0.536689i | ||||
\(263\) | −1.64102 | + | 0.947444i | −0.101190 | + | 0.0584219i | −0.549741 | − | 0.835335i | \(-0.685274\pi\) |
0.448551 | + | 0.893757i | \(0.351940\pi\) | |||||||
\(264\) | −1.87613 | + | 1.13373i | −0.115468 | + | 0.0697762i | ||||
\(265\) | − | 0.717456i | − | 0.0440730i | ||||||
\(266\) | −2.46930 | + | 11.9498i | −0.151402 | + | 0.732686i | ||||
\(267\) | −0.549512 | − | 27.5122i | −0.0336296 | − | 1.68372i | ||||
\(268\) | −0.312240 | − | 0.540816i | −0.0190731 | − | 0.0330356i | ||||
\(269\) | 24.9727 | 1.52261 | 0.761306 | − | 0.648392i | \(-0.224558\pi\) | ||||
0.761306 | + | 0.648392i | \(0.224558\pi\) | |||||||
\(270\) | −4.00534 | − | 6.06688i | −0.243757 | − | 0.369218i | ||||
\(271\) | − | 7.99045i | − | 0.485385i | −0.970103 | − | 0.242693i | \(-0.921969\pi\) | ||
0.970103 | − | 0.242693i | \(-0.0780306\pi\) | |||||||
\(272\) | −6.86805 | −0.416437 | ||||||||
\(273\) | −7.11512 | − | 14.9122i | −0.430627 | − | 0.902530i | ||||
\(274\) | 7.08381 | 0.427948 | ||||||||
\(275\) | 3.85071i | 0.232206i | ||||||||
\(276\) | −4.35878 | + | 0.0870596i | −0.262368 | + | 0.00524037i | ||||
\(277\) | −16.5670 | −0.995416 | −0.497708 | − | 0.867345i | \(-0.665825\pi\) | ||||
−0.497708 | + | 0.867345i | \(0.665825\pi\) | |||||||
\(278\) | −1.11939 | − | 1.93885i | −0.0671367 | − | 0.116284i | ||||
\(279\) | −13.5330 | − | 7.10844i | −0.810197 | − | 0.425571i | ||||
\(280\) | 2.46122 | − | 2.76481i | 0.147086 | − | 0.165229i | ||||
\(281\) | − | 1.18198i | − | 0.0705110i | −0.999378 | − | 0.0352555i | \(-0.988776\pi\) | ||
0.999378 | − | 0.0352555i | \(-0.0112245\pi\) | |||||||
\(282\) | −2.83817 | − | 4.69669i | −0.169011 | − | 0.279684i | ||||
\(283\) | 28.4527 | − | 16.4272i | 1.69134 | − | 0.976495i | 0.737898 | − | 0.674912i | \(-0.235818\pi\) |
0.953440 | − | 0.301583i | \(-0.0975149\pi\) | |||||||
\(284\) | 3.78894 | − | 2.18755i | 0.224832 | − | 0.129807i | ||||
\(285\) | −11.1739 | + | 0.223180i | −0.661882 | + | 0.0132200i | ||||
\(286\) | −2.68464 | − | 3.68989i | −0.158746 | − | 0.218187i | ||||
\(287\) | 3.45435 | − | 16.7168i | 0.203904 | − | 0.986759i | ||||
\(288\) | −0.119792 | − | 2.99761i | −0.00705884 | − | 0.176636i | ||||
\(289\) | 30.1701 | 1.77471 | ||||||||
\(290\) | −7.35455 | −0.431874 | ||||||||
\(291\) | 2.26268 | + | 3.74435i | 0.132641 | + | 0.219497i | ||||
\(292\) | 7.24349 | + | 4.18203i | 0.423893 | + | 0.244735i | ||||
\(293\) | −2.82022 | − | 4.88477i | −0.164759 | − | 0.285371i | 0.771811 | − | 0.635852i | \(-0.219351\pi\) |
−0.936570 | + | 0.350481i | \(0.886018\pi\) | |||||||
\(294\) | −9.58094 | + | 7.43005i | −0.558772 | + | 0.433329i | ||||
\(295\) | 10.0554 | + | 17.4164i | 0.585447 | + | 1.01402i | ||||
\(296\) | 6.91395i | 0.401865i | ||||||||
\(297\) | 3.62322 | + | 5.48808i | 0.210241 | + | 0.318451i | ||||
\(298\) | −4.99921 | + | 8.65889i | −0.289597 | + | 0.501596i | ||||
\(299\) | −0.954679 | − | 9.02499i | −0.0552105 | − | 0.521928i | ||||
\(300\) | −4.61561 | − | 2.54331i | −0.266482 | − | 0.146838i | ||||
\(301\) | −24.0460 | − | 21.4056i | −1.38599 | − | 1.23380i | ||||
\(302\) | 6.24397 | + | 3.60495i | 0.359300 | + | 0.207442i | ||||
\(303\) | 12.5035 | − | 7.55577i | 0.718308 | − | 0.434068i | ||||
\(304\) | −3.99411 | − | 2.30600i | −0.229078 | − | 0.132258i | ||||
\(305\) | 4.30150i | 0.246303i | ||||||||
\(306\) | 0.822741 | + | 20.5877i | 0.0470329 | + | 1.17692i | ||||
\(307\) | − | 25.4559i | − | 1.45284i | −0.687249 | − | 0.726422i | \(-0.741182\pi\) | ||
0.687249 | − | 0.726422i | \(-0.258818\pi\) | |||||||
\(308\) | −2.22641 | + | 2.50104i | −0.126862 | + | 0.142510i | ||||
\(309\) | −10.6047 | − | 17.5490i | −0.603280 | − | 0.998325i | ||||
\(310\) | 7.12887 | 0.404893 | ||||||||
\(311\) | −7.30444 | + | 12.6517i | −0.414197 | + | 0.717410i | −0.995344 | − | 0.0963890i | \(-0.969271\pi\) |
0.581147 | + | 0.813798i | \(0.302604\pi\) | |||||||
\(312\) | 6.19599 | − | 0.780828i | 0.350779 | − | 0.0442057i | ||||
\(313\) | −9.58723 | + | 5.53519i | −0.541902 | + | 0.312868i | −0.745850 | − | 0.666114i | \(-0.767956\pi\) |
0.203947 | + | 0.978982i | \(0.434623\pi\) | |||||||
\(314\) | 3.07314 | − | 5.32283i | 0.173427 | − | 0.300385i | ||||
\(315\) | −8.58266 | − | 7.04656i | −0.483578 | − | 0.397029i | ||||
\(316\) | −7.13902 | − | 12.3651i | −0.401601 | − | 0.695594i | ||||
\(317\) | 13.3841 | − | 7.72732i | 0.751727 | − | 0.434010i | −0.0745906 | − | 0.997214i | \(-0.523765\pi\) |
0.826318 | + | 0.563205i | \(0.190432\pi\) | |||||||
\(318\) | −0.777929 | − | 0.428656i | −0.0436241 | − | 0.0240379i | ||||
\(319\) | 6.65291 | 0.372491 | ||||||||
\(320\) | 0.699535 | + | 1.21163i | 0.0391052 | + | 0.0677322i | ||||
\(321\) | 3.61273 | − | 0.0721583i | 0.201643 | − | 0.00402749i | ||||
\(322\) | −6.32178 | + | 2.09375i | −0.352299 | + | 0.116680i | ||||
\(323\) | 27.4318 | + | 15.8377i | 1.52634 | + | 0.881235i | ||||
\(324\) | −8.97130 | + | 0.718182i | −0.498406 | + | 0.0398990i | ||||
\(325\) | 4.45529 | − | 10.0248i | 0.247135 | − | 0.556077i | ||||
\(326\) | 11.9422 | + | 6.89482i | 0.661417 | + | 0.381869i | ||||
\(327\) | −23.9698 | − | 13.2079i | −1.32553 | − | 0.730400i | ||||
\(328\) | 5.58745 | + | 3.22591i | 0.308515 | + | 0.178121i | ||||
\(329\) | −6.26110 | − | 5.57359i | −0.345186 | − | 0.307282i | ||||
\(330\) | −2.68608 | − | 1.48009i | −0.147864 | − | 0.0814763i | ||||
\(331\) | 0.496658 | − | 0.860237i | 0.0272988 | − | 0.0472829i | −0.852053 | − | 0.523455i | \(-0.824643\pi\) |
0.879352 | + | 0.476172i | \(0.157976\pi\) | |||||||
\(332\) | −3.52068 | −0.193222 | ||||||||
\(333\) | 20.7253 | − | 0.828239i | 1.13574 | − | 0.0453872i | ||||
\(334\) | −12.9354 | − | 7.46828i | −0.707796 | − | 0.408646i | ||||
\(335\) | 0.436846 | − | 0.756639i | 0.0238674 | − | 0.0413396i | ||||
\(336\) | −1.52735 | − | 4.32055i | −0.0833240 | − | 0.235706i | ||||
\(337\) | 16.8178 | 0.916123 | 0.458061 | − | 0.888921i | \(-0.348544\pi\) | ||||
0.458061 | + | 0.888921i | \(0.348544\pi\) | |||||||
\(338\) | 2.71989 | + | 12.7123i | 0.147943 | + | 0.691457i | ||||
\(339\) | 11.0431 | + | 18.2745i | 0.599780 | + | 0.992533i | ||||
\(340\) | −4.80444 | − | 8.32154i | −0.260557 | − | 0.451299i | ||||
\(341\) | −6.44876 | −0.349220 | ||||||||
\(342\) | −6.43402 | + | 12.2490i | −0.347912 | + | 0.662351i | ||||
\(343\) | −10.6296 | + | 15.1661i | −0.573946 | + | 0.818893i | ||||
\(344\) | 10.5377 | − | 6.08396i | 0.568157 | − | 0.328025i | ||||
\(345\) | −3.15461 | − | 5.22033i | −0.169838 | − | 0.281053i | ||||
\(346\) | −4.75216 | − | 2.74366i | −0.255478 | − | 0.147500i | ||||
\(347\) | − | 8.81697i | − | 0.473320i | −0.971593 | − | 0.236660i | \(-0.923947\pi\) | ||
0.971593 | − | 0.236660i | \(-0.0760527\pi\) | |||||||
\(348\) | −4.39410 | + | 7.97445i | −0.235549 | + | 0.427475i | ||||
\(349\) | 11.1058 | + | 6.41193i | 0.594479 | + | 0.343223i | 0.766866 | − | 0.641807i | \(-0.221815\pi\) |
−0.172388 | + | 0.985029i | \(0.555148\pi\) | |||||||
\(350\) | −7.88342 | − | 1.62903i | −0.421386 | − | 0.0870753i | ||||
\(351\) | −3.08285 | − | 18.4796i | −0.164550 | − | 0.986369i | ||||
\(352\) | −0.632798 | − | 1.09604i | −0.0337282 | − | 0.0584190i | ||||
\(353\) | −17.2343 | − | 29.8507i | −0.917289 | − | 1.58879i | −0.803515 | − | 0.595285i | \(-0.797039\pi\) |
−0.113774 | − | 0.993507i | \(-0.536294\pi\) | |||||||
\(354\) | 24.8922 | − | 0.497181i | 1.32301 | − | 0.0264249i | ||||
\(355\) | 5.30100 | + | 3.06053i | 0.281348 | + | 0.162436i | ||||
\(356\) | 15.8874 | 0.842028 | ||||||||
\(357\) | 10.4899 | + | 29.6738i | 0.555187 | + | 1.57050i | ||||
\(358\) | 3.11174 | + | 5.38969i | 0.164460 | + | 0.284854i | ||||
\(359\) | −24.1704 | + | 13.9548i | −1.27567 | + | 0.736506i | −0.976048 | − | 0.217554i | \(-0.930192\pi\) |
−0.299617 | + | 0.954060i | \(0.596859\pi\) | |||||||
\(360\) | 3.54819 | − | 2.24208i | 0.187006 | − | 0.118168i | ||||
\(361\) | 1.13529 | + | 1.96637i | 0.0597519 | + | 0.103493i | ||||
\(362\) | 10.2706 | 0.539811 | ||||||||
\(363\) | −14.2571 | − | 7.85600i | −0.748305 | − | 0.412333i | ||||
\(364\) | 8.68990 | − | 3.93517i | 0.455475 | − | 0.206259i | ||||
\(365\) | 11.7019i | 0.612506i | ||||||||
\(366\) | 4.66406 | + | 2.57000i | 0.243794 | + | 0.134336i | ||||
\(367\) | −2.94391 | + | 1.69967i | −0.153671 | + | 0.0887219i | −0.574864 | − | 0.818249i | \(-0.694945\pi\) |
0.421193 | + | 0.906971i | \(0.361612\pi\) | |||||||
\(368\) | − | 2.51705i | − | 0.131210i | ||||||
\(369\) | 9.00069 | − | 17.1354i | 0.468557 | − | 0.892034i | ||||
\(370\) | −8.37715 | + | 4.83655i | −0.435507 | + | 0.251440i | ||||
\(371\) | −1.32869 | − | 0.274561i | −0.0689824 | − | 0.0142545i | ||||
\(372\) | 4.25927 | − | 7.72975i | 0.220833 | − | 0.400769i | ||||
\(373\) | −4.22173 | + | 7.31225i | −0.218593 | + | 0.378614i | −0.954378 | − | 0.298601i | \(-0.903480\pi\) |
0.735785 | + | 0.677215i | \(0.236813\pi\) | |||||||
\(374\) | 4.34609 | + | 7.52764i | 0.224731 | + | 0.389245i | ||||
\(375\) | −0.389190 | − | 19.4854i | −0.0200977 | − | 1.00622i | ||||
\(376\) | 2.74382 | − | 1.58414i | 0.141502 | − | 0.0816960i | ||||
\(377\) | −17.3200 | − | 7.69746i | −0.892025 | − | 0.396439i | ||||
\(378\) | −12.7684 | + | 5.09598i | −0.656734 | + | 0.262109i | ||||
\(379\) | −12.2942 | + | 21.2942i | −0.631512 | + | 1.09381i | 0.355730 | + | 0.934589i | \(0.384232\pi\) |
−0.987243 | + | 0.159223i | \(0.949101\pi\) | |||||||
\(380\) | − | 6.45252i | − | 0.331007i | ||||||
\(381\) | 13.4042 | + | 7.38604i | 0.686720 | + | 0.378398i | ||||
\(382\) | 4.85641 | − | 8.41156i | 0.248476 | − | 0.430373i | ||||
\(383\) | 12.3294 | − | 21.3552i | 0.630003 | − | 1.09120i | −0.357547 | − | 0.933895i | \(-0.616387\pi\) |
0.987550 | − | 0.157303i | \(-0.0502798\pi\) | |||||||
\(384\) | 1.73171 | − | 0.0345880i | 0.0883707 | − | 0.00176506i | ||||
\(385\) | −4.58779 | − | 0.948022i | −0.233816 | − | 0.0483157i | ||||
\(386\) | 4.73270 | − | 2.73242i | 0.240888 | − | 0.139077i | ||||
\(387\) | −19.4997 | − | 30.8592i | −0.991224 | − | 1.56866i | ||||
\(388\) | −2.18746 | + | 1.26293i | −0.111051 | + | 0.0641155i | ||||
\(389\) | 3.13636 | + | 1.81078i | 0.159020 | + | 0.0918101i | 0.577398 | − | 0.816463i | \(-0.304068\pi\) |
−0.418378 | + | 0.908273i | \(0.637401\pi\) | |||||||
\(390\) | 5.28039 | + | 6.96104i | 0.267383 | + | 0.352486i | ||||
\(391\) | 17.2872i | 0.874251i | ||||||||
\(392\) | −4.17842 | − | 5.61612i | −0.211042 | − | 0.283657i | ||||
\(393\) | −25.7555 | + | 15.5639i | −1.29920 | + | 0.785093i | ||||
\(394\) | −13.0387 | + | 22.5837i | −0.656881 | + | 1.13775i | ||||
\(395\) | 9.98799 | − | 17.2997i | 0.502550 | − | 0.870443i | ||||
\(396\) | −3.20969 | + | 2.02818i | −0.161293 | + | 0.101920i | ||||
\(397\) | −12.1481 | − | 7.01373i | −0.609698 | − | 0.352009i | 0.163149 | − | 0.986601i | \(-0.447835\pi\) |
−0.772847 | + | 0.634592i | \(0.781168\pi\) | |||||||
\(398\) | −13.7069 | −0.687064 | ||||||||
\(399\) | −3.86278 | + | 20.7789i | −0.193381 | + | 1.04024i | ||||
\(400\) | 1.52130 | − | 2.63497i | 0.0760651 | − | 0.131749i | ||||
\(401\) | 31.9750i | 1.59675i | 0.602159 | + | 0.798376i | \(0.294307\pi\) | ||||
−0.602159 | + | 0.798376i | \(0.705693\pi\) | |||||||
\(402\) | −0.559414 | − | 0.925734i | −0.0279010 | − | 0.0461714i | ||||
\(403\) | 16.7885 | + | 7.46125i | 0.836296 | + | 0.371672i | ||||
\(404\) | 4.21730 | + | 7.30458i | 0.209819 | + | 0.363416i | ||||
\(405\) | −7.14591 | − | 10.3675i | −0.355083 | − | 0.515166i | ||||
\(406\) | −2.81449 | + | 13.6203i | −0.139681 | + | 0.675963i | ||||
\(407\) | 7.57795 | − | 4.37513i | 0.375625 | − | 0.216867i | ||||
\(408\) | −11.8934 | + | 0.237552i | −0.588813 | + | 0.0117606i | ||||
\(409\) | − | 0.556454i | − | 0.0275149i | −0.999905 | − | 0.0137574i | \(-0.995621\pi\) | ||
0.999905 | − | 0.0137574i | \(-0.00437926\pi\) | |||||||
\(410\) | 9.02656i | 0.445790i | ||||||||
\(411\) | 12.2671 | − | 0.245015i | 0.605090 | − | 0.0120857i | ||||
\(412\) | 10.2521 | − | 5.91907i | 0.505087 | − | 0.291612i | ||||
\(413\) | 36.1025 | − | 11.9570i | 1.77649 | − | 0.588368i | ||||
\(414\) | −7.54512 | + | 0.301523i | −0.370822 | + | 0.0148191i | ||||
\(415\) | −2.46284 | − | 4.26576i | −0.120896 | − | 0.209398i | ||||
\(416\) | 0.379286 | + | 3.58555i | 0.0185960 | + | 0.175796i | ||||
\(417\) | −2.00552 | − | 3.31879i | −0.0982107 | − | 0.162522i | ||||
\(418\) | 5.83693i | 0.285494i | ||||||||
\(419\) | −7.69809 | + | 13.3335i | −0.376076 | + | 0.651383i | −0.990488 | − | 0.137603i | \(-0.956060\pi\) |
0.614411 | + | 0.788986i | \(0.289394\pi\) | |||||||
\(420\) | 4.16648 | − | 4.87297i | 0.203303 | − | 0.237777i | ||||
\(421\) | 5.44197 | 0.265225 | 0.132613 | − | 0.991168i | \(-0.457663\pi\) | ||||
0.132613 | + | 0.991168i | \(0.457663\pi\) | |||||||
\(422\) | 11.1500 | + | 6.43745i | 0.542773 | + | 0.313370i | ||||
\(423\) | −5.07733 | − | 8.03512i | −0.246868 | − | 0.390681i | ||||
\(424\) | 0.256405 | − | 0.444106i | 0.0124521 | − | 0.0215677i | ||||
\(425\) | −10.4484 | + | 18.0971i | −0.506820 | + | 0.877839i | ||||
\(426\) | 6.48567 | − | 3.91924i | 0.314232 | − | 0.189888i | ||||
\(427\) | 7.96616 | + | 1.64613i | 0.385510 | + | 0.0796618i | ||||
\(428\) | 2.08622i | 0.100841i | ||||||||
\(429\) | −4.77663 | − | 6.29694i | −0.230618 | − | 0.304019i | ||||
\(430\) | 14.7430 | + | 8.51189i | 0.710972 | + | 0.410480i | ||||
\(431\) | −19.7911 | + | 11.4264i | −0.953305 | + | 0.550391i | −0.894106 | − | 0.447855i | \(-0.852188\pi\) |
−0.0591992 | + | 0.998246i | \(0.518855\pi\) | |||||||
\(432\) | −0.311127 | − | 5.18683i | −0.0149691 | − | 0.249551i | ||||
\(433\) | 6.71928 | − | 3.87938i | 0.322908 | − | 0.186431i | −0.329780 | − | 0.944058i | \(-0.606975\pi\) |
0.652688 | + | 0.757627i | \(0.273641\pi\) | |||||||
\(434\) | 2.72813 | − | 13.2023i | 0.130954 | − | 0.633732i | ||||
\(435\) | −12.7359 | + | 0.254379i | −0.610640 | + | 0.0121965i | ||||
\(436\) | 7.90043 | − | 13.6840i | 0.378362 | − | 0.655342i | ||||
\(437\) | −5.80431 | + | 10.0534i | −0.277658 | + | 0.480918i | ||||
\(438\) | 12.6882 | + | 6.99151i | 0.606267 | + | 0.334067i | ||||
\(439\) | 41.6588i | 1.98827i | 0.108159 | + | 0.994134i | \(0.465504\pi\) | ||||
−0.108159 | + | 0.994134i | \(0.534496\pi\) | |||||||
\(440\) | 0.885329 | − | 1.53343i | 0.0422064 | − | 0.0731036i | ||||
\(441\) | −16.3344 | + | 13.1980i | −0.777827 | + | 0.628478i | ||||
\(442\) | −2.60495 | − | 24.6257i | −0.123905 | − | 1.17133i | ||||
\(443\) | 22.4612 | − | 12.9680i | 1.06716 | − | 0.616127i | 0.139758 | − | 0.990186i | \(-0.455368\pi\) |
0.927405 | + | 0.374059i | \(0.122034\pi\) | |||||||
\(444\) | 0.239140 | + | 11.9729i | 0.0113491 | + | 0.568210i | ||||
\(445\) | 11.1138 | + | 19.2496i | 0.526843 | + | 0.912518i | ||||
\(446\) | 10.3176 | − | 17.8707i | 0.488554 | − | 0.846200i | ||||
\(447\) | −8.35767 | + | 15.1676i | −0.395304 | + | 0.717401i | ||||
\(448\) | 2.51159 | − | 0.831830i | 0.118661 | − | 0.0393003i | ||||
\(449\) | 5.20037 | − | 3.00244i | 0.245421 | − | 0.141694i | −0.372245 | − | 0.928135i | \(-0.621412\pi\) |
0.617666 | + | 0.786441i | \(0.288079\pi\) | |||||||
\(450\) | −8.08085 | − | 4.24461i | −0.380935 | − | 0.200093i | ||||
\(451\) | − | 8.16541i | − | 0.384494i | ||||||
\(452\) | −10.6760 | + | 6.16378i | −0.502156 | + | 0.289920i | ||||
\(453\) | 10.9374 | + | 6.02675i | 0.513884 | + | 0.283162i | ||||
\(454\) | 18.2051i | 0.854407i | ||||||||
\(455\) | 10.8469 | + | 7.77616i | 0.508509 | + | 0.364552i | ||||
\(456\) | −6.99639 | − | 3.85517i | −0.327636 | − | 0.180535i | ||||
\(457\) | −29.6490 | −1.38692 | −0.693460 | − | 0.720495i | \(-0.743915\pi\) | ||||
−0.693460 | + | 0.720495i | \(0.743915\pi\) | |||||||
\(458\) | −9.25697 | − | 16.0335i | −0.432550 | − | 0.749198i | ||||
\(459\) | 2.13683 | + | 35.6234i | 0.0997388 | + | 1.66276i | ||||
\(460\) | 3.04973 | − | 1.76076i | 0.142194 | − | 0.0820960i | ||||
\(461\) | 3.80284 | + | 6.58672i | 0.177116 | + | 0.306774i | 0.940892 | − | 0.338708i | \(-0.109990\pi\) |
−0.763775 | + | 0.645482i | \(0.776657\pi\) | |||||||
\(462\) | −3.76899 | + | 4.40808i | −0.175349 | + | 0.205082i | ||||
\(463\) | −13.7605 | −0.639506 | −0.319753 | − | 0.947501i | \(-0.603600\pi\) | ||||
−0.319753 | + | 0.947501i | \(0.603600\pi\) | |||||||
\(464\) | −4.55247 | − | 2.62837i | −0.211343 | − | 0.122019i | ||||
\(465\) | 12.3451 | − | 0.246573i | 0.572490 | − | 0.0114346i | ||||
\(466\) | 5.35597 | + | 9.27681i | 0.248111 | + | 0.429740i | ||||
\(467\) | 8.10576 | + | 14.0396i | 0.375090 | + | 0.649675i | 0.990341 | − | 0.138657i | \(-0.0442785\pi\) |
−0.615250 | + | 0.788332i | \(0.710945\pi\) | |||||||
\(468\) | 10.7026 | − | 1.56647i | 0.494729 | − | 0.0724101i | ||||
\(469\) | −1.23408 | − | 1.09857i | −0.0569847 | − | 0.0507274i | ||||
\(470\) | 3.83879 | + | 2.21633i | 0.177070 | + | 0.102232i | ||||
\(471\) | 5.13766 | − | 9.32387i | 0.236731 | − | 0.429621i | ||||
\(472\) | 14.3744i | 0.661635i | ||||||||
\(473\) | −13.3365 | − | 7.69984i | −0.613214 | − | 0.354039i | ||||
\(474\) | −12.7904 | − | 21.1659i | −0.587481 | − | 0.972180i | ||||
\(475\) | −12.1525 | + | 7.01625i | −0.557595 | + | 0.321927i | ||||
\(476\) | −17.2497 | + | 5.71305i | −0.790638 | + | 0.261857i | ||||
\(477\) | −1.36197 | − | 0.715400i | −0.0623603 | − | 0.0327559i | ||||
\(478\) | 3.88709 | 0.177792 | ||||||||
\(479\) | −3.83449 | − | 6.64153i | −0.175202 | − | 0.303459i | 0.765029 | − | 0.643996i | \(-0.222725\pi\) |
−0.940231 | + | 0.340537i | \(0.889391\pi\) | |||||||
\(480\) | 1.25330 | + | 2.07399i | 0.0572049 | + | 0.0946643i | ||||
\(481\) | −24.7903 | + | 2.62236i | −1.13034 | + | 0.119569i | ||||
\(482\) | 6.18514 | 0.281725 | ||||||||
\(483\) | −10.8750 | + | 3.84442i | −0.494831 | + | 0.174927i | ||||
\(484\) | 4.69913 | − | 8.13914i | 0.213597 | − | 0.369961i | ||||
\(485\) | −3.06040 | − | 1.76692i | −0.138966 | − | 0.0802319i | ||||
\(486\) | −15.5108 | + | 1.55398i | −0.703585 | + | 0.0704899i | ||||
\(487\) | 1.25273 | 0.0567668 | 0.0283834 | − | 0.999597i | \(-0.490964\pi\) | ||||
0.0283834 | + | 0.999597i | \(0.490964\pi\) | |||||||
\(488\) | −1.53727 | + | 2.66263i | −0.0695889 | + | 0.120532i | ||||
\(489\) | 20.9188 | + | 11.5267i | 0.945982 | + | 0.521258i | ||||
\(490\) | 3.88171 | − | 8.99138i | 0.175358 | − | 0.406189i | ||||
\(491\) | 1.78584 | + | 1.03105i | 0.0805938 | + | 0.0465308i | 0.539755 | − | 0.841822i | \(-0.318517\pi\) |
−0.459162 | + | 0.888353i | \(0.651850\pi\) | |||||||
\(492\) | 9.78739 | + | 5.39307i | 0.441250 | + | 0.243139i | ||||
\(493\) | 31.2666 | + | 18.0518i | 1.40818 | + | 0.813011i | ||||
\(494\) | 6.75337 | − | 15.1957i | 0.303848 | − | 0.683687i | ||||
\(495\) | −4.70269 | − | 2.47017i | −0.211370 | − | 0.111026i | ||||
\(496\) | 4.41277 | + | 2.54772i | 0.198139 | + | 0.114396i | ||||
\(497\) | 7.69659 | − | 8.64597i | 0.345239 | − | 0.387825i | ||||
\(498\) | −6.09678 | + | 0.121773i | −0.273203 | + | 0.00545679i | ||||
\(499\) | −6.12234 | − | 10.6042i | −0.274074 | − | 0.474710i | 0.695827 | − | 0.718209i | \(-0.255038\pi\) |
−0.969901 | + | 0.243500i | \(0.921705\pi\) | |||||||
\(500\) | 11.2522 | 0.503212 | ||||||||
\(501\) | −22.6587 | − | 12.4855i | −1.01232 | − | 0.557809i | ||||
\(502\) | 1.53990 | − | 0.889061i | 0.0687291 | − | 0.0396808i | ||||
\(503\) | −19.8446 | − | 34.3719i | −0.884828 | − | 1.53257i | −0.845911 | − | 0.533324i | \(-0.820943\pi\) |
−0.0389171 | − | 0.999242i | \(-0.512391\pi\) | |||||||
\(504\) | −2.79437 | − | 7.42910i | −0.124471 | − | 0.330918i | ||||
\(505\) | −5.90030 | + | 10.2196i | −0.262560 | + | 0.454767i | ||||
\(506\) | −2.75878 | + | 1.59278i | −0.122643 | + | 0.0708078i | ||||
\(507\) | 5.14974 | + | 21.9199i | 0.228708 | + | 0.973495i | ||||
\(508\) | −4.41803 | + | 7.65224i | −0.196018 | + | 0.339513i | ||||
\(509\) | 22.8013 | 1.01065 | 0.505325 | − | 0.862929i | \(-0.331373\pi\) | ||||
0.505325 | + | 0.862929i | \(0.331373\pi\) | |||||||
\(510\) | −8.60770 | − | 14.2443i | −0.381155 | − | 0.630747i | ||||
\(511\) | 21.6714 | + | 4.47817i | 0.958685 | + | 0.198103i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | −10.7182 | + | 21.4342i | −0.473218 | + | 0.946345i | ||||
\(514\) | − | 12.0249i | − | 0.530396i | ||||||
\(515\) | 14.3435 | + | 8.28120i | 0.632048 | + | 0.364913i | ||||
\(516\) | 18.0378 | − | 10.9001i | 0.794071 | − | 0.479851i | ||||
\(517\) | −3.47256 | − | 2.00489i | −0.152723 | − | 0.0881748i | ||||
\(518\) | 5.75123 | + | 17.3650i | 0.252695 | + | 0.762973i | ||||
\(519\) | −8.32424 | − | 4.58684i | −0.365393 | − | 0.201340i | ||||
\(520\) | −4.07903 | + | 2.96777i | −0.178877 | + | 0.130145i | ||||
\(521\) | −1.95101 | + | 3.37925i | −0.0854752 | + | 0.148047i | −0.905594 | − | 0.424146i | \(-0.860574\pi\) |
0.820118 | + | 0.572194i | \(0.193908\pi\) | |||||||
\(522\) | −7.33347 | + | 13.9614i | −0.320977 | + | 0.611073i | ||||
\(523\) | 7.78077i | 0.340229i | 0.985424 | + | 0.170115i | \(0.0544138\pi\) | ||||
−0.985424 | + | 0.170115i | \(0.945586\pi\) | |||||||
\(524\) | −8.68707 | − | 15.0464i | −0.379496 | − | 0.657307i | ||||
\(525\) | −13.7081 | − | 2.54833i | −0.598271 | − | 0.111218i | ||||
\(526\) | −0.947444 | − | 1.64102i | −0.0413105 | − | 0.0715520i | ||||
\(527\) | −30.3072 | − | 17.4978i | −1.32020 | − | 0.762218i | ||||
\(528\) | −1.13373 | − | 1.87613i | −0.0493392 | − | 0.0816480i | ||||
\(529\) | 16.6645 | 0.724543 | ||||||||
\(530\) | 0.717456 | 0.0311643 | ||||||||
\(531\) | 43.0888 | − | 1.72194i | 1.86989 | − | 0.0747260i | ||||
\(532\) | −11.9498 | − | 2.46930i | −0.518087 | − | 0.107058i | ||||
\(533\) | −9.44743 | + | 21.2576i | −0.409213 | + | 0.920769i | ||||
\(534\) | 27.5122 | − | 0.549512i | 1.19057 | − | 0.0237797i | ||||
\(535\) | −2.52773 | + | 1.45939i | −0.109283 | + | 0.0630948i | ||||
\(536\) | 0.540816 | − | 0.312240i | 0.0233597 | − | 0.0134867i | ||||
\(537\) | 5.57503 | + | 9.22572i | 0.240580 | + | 0.398119i | ||||
\(538\) | 24.9727i | 1.07665i | ||||||||
\(539\) | −3.51138 | + | 8.13358i | −0.151246 | + | 0.350338i | ||||
\(540\) | 6.06688 | − | 4.00534i | 0.261077 | − | 0.172362i | ||||
\(541\) | −2.23765 | − | 3.87573i | −0.0962042 | − | 0.166631i | 0.813906 | − | 0.580996i | \(-0.197337\pi\) |
−0.910111 | + | 0.414366i | \(0.864004\pi\) | |||||||
\(542\) | 7.99045 | 0.343219 | ||||||||
\(543\) | 17.7856 | − | 0.355239i | 0.763255 | − | 0.0152448i | ||||
\(544\) | − | 6.86805i | − | 0.294465i | ||||||
\(545\) | 22.1065 | 0.946939 | ||||||||
\(546\) | 14.9122 | − | 7.11512i | 0.638185 | − | 0.304499i | ||||
\(547\) | −35.3736 | −1.51246 | −0.756232 | − | 0.654304i | \(-0.772962\pi\) | ||||
−0.756232 | + | 0.654304i | \(0.772962\pi\) | |||||||
\(548\) | 7.08381i | 0.302605i | ||||||||
\(549\) | 8.16567 | + | 4.28917i | 0.348502 | + | 0.183057i | ||||
\(550\) | −3.85071 | −0.164195 | ||||||||
\(551\) | 12.1221 | + | 20.9960i | 0.516417 | + | 0.894460i | ||||
\(552\) | −0.0870596 | − | 4.35878i | −0.00370550 | − | 0.185522i | ||||
\(553\) | −28.2160 | − | 25.1177i | −1.19986 | − | 1.06811i | ||||
\(554\) | − | 16.5670i | − | 0.703866i | ||||||
\(555\) | −14.3395 | + | 8.66523i | −0.608677 | + | 0.367819i | ||||
\(556\) | 1.93885 | − | 1.11939i | 0.0822254 | − | 0.0474728i | ||||
\(557\) | −18.0142 | + | 10.4005i | −0.763287 | + | 0.440684i | −0.830475 | − | 0.557056i | \(-0.811931\pi\) |
0.0671876 | + | 0.997740i | \(0.478597\pi\) | |||||||
\(558\) | 7.10844 | − | 13.5330i | 0.300924 | − | 0.572896i | ||||
\(559\) | 25.8111 | + | 35.4760i | 1.09170 | + | 1.50047i | ||||
\(560\) | 2.76481 | + | 2.46122i | 0.116835 | + | 0.104005i | ||||
\(561\) | 7.78651 | + | 12.8853i | 0.328747 | + | 0.544020i | ||||
\(562\) | 1.18198 | 0.0498588 | ||||||||
\(563\) | 24.1919 | 1.01957 | 0.509784 | − | 0.860302i | \(-0.329725\pi\) | ||||
0.509784 | + | 0.860302i | \(0.329725\pi\) | |||||||
\(564\) | 4.69669 | − | 2.83817i | 0.197766 | − | 0.119509i | ||||
\(565\) | −14.9365 | − | 8.62357i | −0.628381 | − | 0.362796i | ||||
\(566\) | 16.4272 | + | 28.4527i | 0.690486 | + | 1.19596i | ||||
\(567\) | −21.9348 | + | 9.26637i | −0.921174 | + | 0.389151i | ||||
\(568\) | 2.18755 | + | 3.78894i | 0.0917875 | + | 0.158981i | ||||
\(569\) | − | 35.0754i | − | 1.47044i | −0.677829 | − | 0.735219i | \(-0.737079\pi\) | ||
0.677829 | − | 0.735219i | \(-0.262921\pi\) | |||||||
\(570\) | −0.223180 | − | 11.1739i | −0.00934797 | − | 0.468021i | ||||
\(571\) | 10.1633 | − | 17.6034i | 0.425321 | − | 0.736678i | −0.571129 | − | 0.820860i | \(-0.693494\pi\) |
0.996450 | + | 0.0841821i | \(0.0268277\pi\) | |||||||
\(572\) | 3.68989 | − | 2.68464i | 0.154282 | − | 0.112250i | ||||
\(573\) | 8.11894 | − | 14.7343i | 0.339174 | − | 0.615535i | ||||
\(574\) | 16.7168 | + | 3.45435i | 0.697744 | + | 0.144182i | ||||
\(575\) | −6.63234 | − | 3.82919i | −0.276588 | − | 0.159688i | ||||
\(576\) | 2.99761 | − | 0.119792i | 0.124900 | − | 0.00499135i | ||||
\(577\) | −12.8575 | − | 7.42329i | −0.535266 | − | 0.309036i | 0.207892 | − | 0.978152i | \(-0.433340\pi\) |
−0.743158 | + | 0.669116i | \(0.766673\pi\) | |||||||
\(578\) | 30.1701i | 1.25491i | ||||||||
\(579\) | 8.10113 | − | 4.89545i | 0.336671 | − | 0.203448i | ||||
\(580\) | − | 7.35455i | − | 0.305381i | ||||||
\(581\) | −8.84248 | + | 2.92860i | −0.366848 | + | 0.121499i | ||||
\(582\) | −3.74435 | + | 2.26268i | −0.155208 | + | 0.0937911i | ||||
\(583\) | −0.649009 | −0.0268792 | ||||||||
\(584\) | −4.18203 | + | 7.24349i | −0.173054 | + | 0.299738i | ||||
\(585\) | 9.38485 | + | 11.8718i | 0.388016 | + | 0.490840i | ||||
\(586\) | 4.88477 | − | 2.82022i | 0.201788 | − | 0.116502i | ||||
\(587\) | −10.5944 | + | 18.3500i | −0.437276 | + | 0.757384i | −0.997478 | − | 0.0709716i | \(-0.977390\pi\) |
0.560202 | + | 0.828356i | \(0.310723\pi\) | |||||||
\(588\) | −7.43005 | − | 9.58094i | −0.306410 | − | 0.395111i | ||||
\(589\) | −11.7501 | − | 20.3517i | −0.484154 | − | 0.838578i | ||||
\(590\) | −17.4164 | + | 10.0554i | −0.717024 | + | 0.413974i | ||||
\(591\) | −21.7981 | + | 39.5594i | −0.896654 | + | 1.62725i | ||||
\(592\) | −6.91395 | −0.284162 | ||||||||
\(593\) | −12.5747 | − | 21.7800i | −0.516381 | − | 0.894397i | −0.999819 | − | 0.0190190i | \(-0.993946\pi\) |
0.483439 | − | 0.875378i | \(-0.339388\pi\) | |||||||
\(594\) | −5.48808 | + | 3.62322i | −0.225179 | + | 0.148663i | ||||
\(595\) | −18.9889 | − | 16.9038i | −0.778468 | − | 0.692987i | ||||
\(596\) | −8.65889 | − | 4.99921i | −0.354682 | − | 0.204776i | ||||
\(597\) | −23.7363 | + | 0.474094i | −0.971461 | + | 0.0194034i | ||||
\(598\) | 9.02499 | − | 0.954679i | 0.369059 | − | 0.0390397i | ||||
\(599\) | −27.8317 | − | 16.0687i | −1.13717 | − | 0.656547i | −0.191444 | − | 0.981503i | \(-0.561317\pi\) |
−0.945729 | + | 0.324956i | \(0.894650\pi\) | |||||||
\(600\) | 2.54331 | − | 4.61561i | 0.103830 | − | 0.188432i | ||||
\(601\) | −15.0678 | − | 8.69938i | −0.614627 | − | 0.354855i | 0.160147 | − | 0.987093i | \(-0.448803\pi\) |
−0.774774 | + | 0.632238i | \(0.782136\pi\) | |||||||
\(602\) | 21.4056 | − | 24.0460i | 0.872427 | − | 0.980042i | ||||
\(603\) | −1.00076 | − | 1.58375i | −0.0407540 | − | 0.0644952i | ||||
\(604\) | −3.60495 | + | 6.24397i | −0.146684 | + | 0.254063i | ||||
\(605\) | 13.1488 | 0.534576 | ||||||||
\(606\) | 7.55577 | + | 12.5035i | 0.306932 | + | 0.507920i | ||||
\(607\) | 25.4203 | + | 14.6764i | 1.03178 | + | 0.595698i | 0.917494 | − | 0.397750i | \(-0.130209\pi\) |
0.114286 | + | 0.993448i | \(0.463542\pi\) | |||||||
\(608\) | 2.30600 | − | 3.99411i | 0.0935207 | − | 0.161983i | ||||
\(609\) | −4.40278 | + | 23.6836i | −0.178410 | + | 0.959710i | ||||
\(610\) | −4.30150 | −0.174162 | ||||||||
\(611\) | 6.72071 | + | 9.23724i | 0.271891 | + | 0.373699i | ||||
\(612\) | −20.5877 | + | 0.822741i | −0.832209 | + | 0.0332573i | ||||
\(613\) | 17.4142 | + | 30.1624i | 0.703355 | + | 1.21825i | 0.967282 | + | 0.253704i | \(0.0816489\pi\) |
−0.263927 | + | 0.964543i | \(0.585018\pi\) | |||||||
\(614\) | 25.4559 | 1.02732 | ||||||||
\(615\) | 0.312211 | + | 15.6313i | 0.0125896 | + | 0.630317i | ||||
\(616\) | −2.50104 | − | 2.22641i | −0.100770 | − | 0.0897047i | ||||
\(617\) | −15.1344 | + | 8.73785i | −0.609288 | + | 0.351773i | −0.772687 | − | 0.634787i | \(-0.781088\pi\) |
0.163399 | + | 0.986560i | \(0.447754\pi\) | |||||||
\(618\) | 17.5490 | − | 10.6047i | 0.705922 | − | 0.426583i | ||||
\(619\) | −20.5117 | − | 11.8425i | −0.824436 | − | 0.475989i | 0.0275075 | − | 0.999622i | \(-0.491243\pi\) |
−0.851944 | + | 0.523633i | \(0.824576\pi\) | |||||||
\(620\) | 7.12887i | 0.286302i | ||||||||
\(621\) | −13.0555 | + | 0.783120i | −0.523899 | + | 0.0314255i | ||||
\(622\) | −12.6517 | − | 7.30444i | −0.507285 | − | 0.292881i | ||||
\(623\) | 39.9024 | − | 13.2156i | 1.59866 | − | 0.529471i | ||||
\(624\) | 0.780828 | + | 6.19599i | 0.0312581 | + | 0.248038i | ||||
\(625\) | 0.264780 | + | 0.458612i | 0.0105912 | + | 0.0183445i | ||||
\(626\) | −5.53519 | − | 9.58723i | −0.221231 | − | 0.383183i | ||||
\(627\) | 0.201888 | + | 10.1078i | 0.00806263 | + | 0.403669i | ||||
\(628\) | 5.32283 | + | 3.07314i | 0.212404 | + | 0.122632i | ||||
\(629\) | 47.4853 | 1.89336 | ||||||||
\(630\) | 7.04656 | − | 8.58266i | 0.280742 | − | 0.341941i | ||||
\(631\) | 3.58972 | + | 6.21757i | 0.142904 | + | 0.247518i | 0.928589 | − | 0.371109i | \(-0.121023\pi\) |
−0.785685 | + | 0.618627i | \(0.787689\pi\) | |||||||
\(632\) | 12.3651 | − | 7.13902i | 0.491859 | − | 0.283975i | ||||
\(633\) | 19.5311 | + | 10.7621i | 0.776294 | + | 0.427755i | ||||
\(634\) | 7.72732 | + | 13.3841i | 0.306891 | + | 0.531551i | ||||
\(635\) | −12.3623 | −0.490581 | ||||||||
\(636\) | 0.428656 | − | 0.777929i | 0.0169973 | − | 0.0308469i | ||||
\(637\) | 18.5520 | − | 17.1120i | 0.735059 | − | 0.678004i | ||||
\(638\) | 6.65291i | 0.263391i | ||||||||
\(639\) | 11.0957 | − | 7.01130i | 0.438940 | − | 0.277363i | ||||
\(640\) | −1.21163 | + | 0.699535i | −0.0478939 | + | 0.0276516i | ||||
\(641\) | − | 28.5103i | − | 1.12609i | −0.826427 | − | 0.563044i | \(-0.809630\pi\) | ||
0.826427 | − | 0.563044i | \(-0.190370\pi\) | |||||||
\(642\) | 0.0721583 | + | 3.61273i | 0.00284786 | + | 0.142583i | ||||
\(643\) | −39.1207 | + | 22.5863i | −1.54277 | + | 0.890718i | −0.544106 | + | 0.839016i | \(0.683131\pi\) |
−0.998663 | + | 0.0517020i | \(0.983535\pi\) | |||||||
\(644\) | −2.09375 | − | 6.32178i | −0.0825055 | − | 0.249113i | ||||
\(645\) | 25.8250 | + | 14.2302i | 1.01686 | + | 0.560312i | ||||
\(646\) | −15.8377 | + | 27.4318i | −0.623127 | + | 1.07929i | ||||
\(647\) | 8.96906 | + | 15.5349i | 0.352610 | + | 0.610739i | 0.986706 | − | 0.162516i | \(-0.0519608\pi\) |
−0.634096 | + | 0.773255i | \(0.718627\pi\) | |||||||
\(648\) | −0.718182 | − | 8.97130i | −0.0282128 | − | 0.352426i | ||||
\(649\) | 15.7549 | − | 9.09609i | 0.618433 | − | 0.357053i | ||||
\(650\) | 10.0248 | + | 4.45529i | 0.393206 | + | 0.174751i | ||||
\(651\) | 4.26767 | − | 22.9569i | 0.167263 | − | 0.899752i | ||||
\(652\) | −6.89482 | + | 11.9422i | −0.270022 | + | 0.467692i | ||||
\(653\) | 28.3261i | 1.10849i | 0.832355 | + | 0.554243i | \(0.186992\pi\) | ||||
−0.832355 | + | 0.554243i | \(0.813008\pi\) | |||||||
\(654\) | 13.2079 | − | 23.9698i | 0.516471 | − | 0.937295i | ||||
\(655\) | 12.1538 | − | 21.0510i | 0.474889 | − | 0.822532i | ||||
\(656\) | −3.22591 | + | 5.58745i | −0.125951 | + | 0.218153i | ||||
\(657\) | 22.2141 | + | 11.6684i | 0.866655 | + | 0.455226i | ||||
\(658\) | 5.57359 | − | 6.26110i | 0.217281 | − | 0.244083i | ||||
\(659\) | −33.6960 | + | 19.4544i | −1.31261 | + | 0.757836i | −0.982528 | − | 0.186116i | \(-0.940410\pi\) |
−0.330082 | + | 0.943952i | \(0.607076\pi\) | |||||||
\(660\) | 1.48009 | − | 2.68608i | 0.0576124 | − | 0.104555i | ||||
\(661\) | −12.2971 | + | 7.09975i | −0.478303 | + | 0.276148i | −0.719709 | − | 0.694276i | \(-0.755725\pi\) |
0.241406 | + | 0.970424i | \(0.422391\pi\) | |||||||
\(662\) | 0.860237 | + | 0.496658i | 0.0334340 | + | 0.0193032i | ||||
\(663\) | −5.36276 | − | 42.5544i | −0.208272 | − | 1.65267i | ||||
\(664\) | − | 3.52068i | − | 0.136629i | ||||||
\(665\) | −5.36740 | − | 16.2060i | −0.208139 | − | 0.628443i | ||||
\(666\) | 0.828239 | + | 20.7253i | 0.0320936 | + | 0.803089i | ||||
\(667\) | −6.61573 | + | 11.4588i | −0.256162 | + | 0.443686i | ||||
\(668\) | 7.46828 | − | 12.9354i | 0.288957 | − | 0.500487i | ||||
\(669\) | 17.2490 | − | 31.3036i | 0.666884 | − | 1.21027i | ||||
\(670\) | 0.756639 | + | 0.436846i | 0.0292315 | + | 0.0168768i | ||||
\(671\) | 3.89112 | 0.150215 | ||||||||
\(672\) | 4.32055 | − | 1.52735i | 0.166669 | − | 0.0589190i | ||||
\(673\) | 10.7809 | − | 18.6731i | 0.415574 | − | 0.719795i | −0.579915 | − | 0.814677i | \(-0.696914\pi\) |
0.995489 | + | 0.0948822i | \(0.0302475\pi\) | |||||||
\(674\) | 16.8178i | 0.647797i | ||||||||
\(675\) | −14.1405 | − | 7.07092i | −0.544267 | − | 0.272160i | ||||
\(676\) | −12.7123 | + | 2.71989i | −0.488934 | + | 0.104611i | ||||
\(677\) | −20.3440 | − | 35.2368i | −0.781883 | − | 1.35426i | −0.930844 | − | 0.365418i | \(-0.880926\pi\) |
0.148960 | − | 0.988843i | \(-0.452407\pi\) | |||||||
\(678\) | −18.2745 | + | 11.0431i | −0.701827 | + | 0.424108i | ||||
\(679\) | −4.44344 | + | 4.99154i | −0.170524 | + | 0.191558i | ||||
\(680\) | 8.32154 | − | 4.80444i | 0.319116 | − | 0.184242i | ||||
\(681\) | 0.629678 | + | 31.5258i | 0.0241293 | + | 1.20807i | ||||
\(682\) | − | 6.44876i | − | 0.246936i | ||||||
\(683\) | 36.2054i | 1.38536i | 0.721244 | + | 0.692681i | \(0.243571\pi\) | ||||
−0.721244 | + | 0.692681i | \(0.756429\pi\) | |||||||
\(684\) | −12.2490 | − | 6.43402i | −0.468353 | − | 0.246011i | ||||
\(685\) | −8.58296 | + | 4.95537i | −0.327938 | + | 0.189335i | ||||
\(686\) | −15.1661 | − | 10.6296i | −0.579045 | − | 0.405841i | ||||
\(687\) | −16.5849 | − | 27.4452i | −0.632754 | − | 1.04710i | ||||
\(688\) | 6.08396 | + | 10.5377i | 0.231949 | + | 0.401747i | ||||
\(689\) | 1.68961 | + | 0.750907i | 0.0643691 | + | 0.0286073i | ||||
\(690\) | 5.22033 | − | 3.15461i | 0.198735 | − | 0.120094i | ||||
\(691\) | 8.30431i | 0.315911i | 0.987446 | + | 0.157955i | \(0.0504902\pi\) | ||||
−0.987446 | + | 0.157955i | \(0.949510\pi\) | |||||||
\(692\) | 2.74366 | − | 4.75216i | 0.104298 | − | 0.180650i | ||||
\(693\) | −6.37431 | + | 7.76385i | −0.242140 | + | 0.294924i | ||||
\(694\) | 8.81697 | 0.334688 | ||||||||
\(695\) | 2.71258 | + | 1.56611i | 0.102894 | + | 0.0594059i | ||||
\(696\) | −7.97445 | − | 4.39410i | −0.302271 | − | 0.166558i | ||||
\(697\) | 22.1557 | − | 38.3749i | 0.839208 | − | 1.45355i | ||||
\(698\) | −6.41193 | + | 11.1058i | −0.242695 | + | 0.420360i | ||||
\(699\) | 9.59583 | + | 15.8795i | 0.362948 | + | 0.600616i | ||||
\(700\) | 1.62903 | − | 7.88342i | 0.0615715 | − | 0.297965i | ||||
\(701\) | 48.0958i | 1.81655i | 0.418371 | + | 0.908276i | \(0.362601\pi\) | ||||
−0.418371 | + | 0.908276i | \(0.637399\pi\) | |||||||
\(702\) | 18.4796 | − | 3.08285i | 0.697468 | − | 0.116355i | ||||
\(703\) | 27.6151 | + | 15.9436i | 1.04152 | + | 0.601323i | ||||
\(704\) | 1.09604 | − | 0.632798i | 0.0413085 | − | 0.0238495i | ||||
\(705\) | 6.72432 | + | 3.70525i | 0.253252 | + | 0.139548i | ||||
\(706\) | 29.8507 | − | 17.2343i | 1.12345 | − | 0.648621i | ||||
\(707\) | 16.6683 | + | 14.8380i | 0.626875 | + | 0.558040i | ||||
\(708\) | 0.497181 | + | 24.8922i | 0.0186852 | + | 0.935506i | ||||
\(709\) | 15.7103 | − | 27.2110i | 0.590013 | − | 1.02193i | −0.404217 | − | 0.914663i | \(-0.632456\pi\) |
0.994230 | − | 0.107269i | \(-0.0342107\pi\) | |||||||
\(710\) | −3.06053 | + | 5.30100i | −0.114860 | + | 0.198943i | ||||
\(711\) | −22.8812 | − | 36.2107i | −0.858113 | − | 1.35801i | ||||
\(712\) | 15.8874i | 0.595404i | ||||||||
\(713\) | 6.41272 | − | 11.1072i | 0.240158 | − | 0.415966i | ||||
\(714\) | −29.6738 | + | 10.4899i | −1.11051 | + | 0.392576i | ||||
\(715\) | 5.83399 | + | 2.59278i | 0.218179 | + | 0.0969644i | ||||
\(716\) | −5.38969 | + | 3.11174i | −0.201422 | + | 0.116291i | ||||
\(717\) | 6.73130 | − | 0.134447i | 0.251385 | − | 0.00502101i | ||||
\(718\) | −13.9548 | − | 24.1704i | −0.520788 | − | 0.902032i | ||||
\(719\) | −12.6822 | + | 21.9662i | −0.472965 | + | 0.819200i | −0.999521 | − | 0.0309406i | \(-0.990150\pi\) |
0.526556 | + | 0.850140i | \(0.323483\pi\) | |||||||
\(720\) | 2.24208 | + | 3.54819i | 0.0835572 | + | 0.132233i | ||||
\(721\) | 20.8255 | − | 23.3943i | 0.775580 | − | 0.871249i | ||||
\(722\) | −1.96637 | + | 1.13529i | −0.0731809 | + | 0.0422510i | ||||
\(723\) | 10.7108 | − | 0.213932i | 0.398341 | − | 0.00795621i | ||||
\(724\) | 10.2706i | 0.381704i | ||||||||
\(725\) | −13.8514 | + | 7.99708i | −0.514426 | + | 0.297004i | ||||
\(726\) | 7.85600 | − | 14.2571i | 0.291563 | − | 0.529131i | ||||
\(727\) | 2.55940i | 0.0949230i | 0.998873 | + | 0.0474615i | \(0.0151132\pi\) | ||||
−0.998873 | + | 0.0474615i | \(0.984887\pi\) | |||||||
\(728\) | 3.93517 | + | 8.68990i | 0.145847 | + | 0.322069i | ||||
\(729\) | −26.8064 | + | 3.22752i | −0.992830 | + | 0.119538i | ||||
\(730\) | −11.7019 | −0.433107 | ||||||||
\(731\) | −41.7850 | − | 72.3737i | −1.54547 | − | 2.67684i | ||||
\(732\) | −2.57000 | + | 4.66406i | −0.0949900 | + | 0.172389i | ||||
\(733\) | 41.4839 | − | 23.9507i | 1.53224 | − | 0.884641i | 0.532985 | − | 0.846125i | \(-0.321070\pi\) |
0.999258 | − | 0.0385160i | \(-0.0122631\pi\) | |||||||
\(734\) | −1.69967 | − | 2.94391i | −0.0627359 | − | 0.108662i | ||||
\(735\) | 6.41098 | − | 15.7047i | 0.236473 | − | 0.579276i | ||||
\(736\) | 2.51705 | 0.0927795 | ||||||||
\(737\) | −0.684454 | − | 0.395170i | −0.0252122 | − | 0.0145563i | ||||
\(738\) | 17.1354 | + | 9.00069i | 0.630763 | + | 0.331320i | ||||
\(739\) | −0.652666 | − | 1.13045i | −0.0240087 | − | 0.0415843i | 0.853771 | − | 0.520648i | \(-0.174310\pi\) |
−0.877780 | + | 0.479064i | \(0.840976\pi\) | |||||||
\(740\) | −4.83655 | − | 8.37715i | −0.177795 | − | 0.307950i | ||||
\(741\) | 11.1693 | − | 26.5481i | 0.410313 | − | 0.975268i | ||||
\(742\) | 0.274561 | − | 1.32869i | 0.0100795 | − | 0.0487779i | ||||
\(743\) | 4.26349 | + | 2.46153i | 0.156412 | + | 0.0903046i | 0.576163 | − | 0.817335i | \(-0.304549\pi\) |
−0.419751 | + | 0.907639i | \(0.637883\pi\) | |||||||
\(744\) | 7.72975 | + | 4.25927i | 0.283386 | + | 0.156152i | ||||
\(745\) | − | 13.9885i | − | 0.512499i | ||||||
\(746\) | −7.31225 | − | 4.22173i | −0.267721 | − | 0.154569i | ||||
\(747\) | −10.5536 | + | 0.421751i | −0.386136 | + | 0.0154310i | ||||
\(748\) | −7.52764 | + | 4.34609i | −0.275238 | + | 0.158909i | ||||
\(749\) | 1.73538 | + | 5.23973i | 0.0634095 | + | 0.191456i | ||||
\(750\) | 19.4854 | − | 0.389190i | 0.711508 | − | 0.0142112i | ||||
\(751\) | −46.7878 | −1.70731 | −0.853656 | − | 0.520838i | \(-0.825620\pi\) | ||||
−0.853656 | + | 0.520838i | \(0.825620\pi\) | |||||||
\(752\) | 1.58414 | + | 2.74382i | 0.0577678 | + | 0.100057i | ||||
\(753\) | 2.63590 | − | 1.59285i | 0.0960576 | − | 0.0580468i | ||||
\(754\) | 7.69746 | − | 17.3200i | 0.280325 | − | 0.630757i | ||||
\(755\) | −10.0872 | −0.367110 | ||||||||
\(756\) | −5.09598 | − | 12.7684i | −0.185339 | − | 0.464381i | ||||
\(757\) | −2.63180 | + | 4.55840i | −0.0956542 | + | 0.165678i | −0.909881 | − | 0.414868i | \(-0.863828\pi\) |
0.814227 | + | 0.580546i | \(0.197161\pi\) | |||||||
\(758\) | −21.2942 | − | 12.2942i | −0.773441 | − | 0.446547i | ||||
\(759\) | −4.72230 | + | 2.85365i | −0.171409 | + | 0.103581i | ||||
\(760\) | 6.45252 | 0.234057 | ||||||||
\(761\) | 6.36638 | − | 11.0269i | 0.230781 | − | 0.399724i | −0.727257 | − | 0.686365i | \(-0.759205\pi\) |
0.958038 | + | 0.286641i | \(0.0925386\pi\) | |||||||
\(762\) | −7.38604 | + | 13.4042i | −0.267568 | + | 0.485585i | ||||
\(763\) | 8.45989 | − | 40.9402i | 0.306269 | − | 1.48214i | ||||
\(764\) | 8.41156 | + | 4.85641i | 0.304319 | + | 0.175699i | ||||
\(765\) | −15.3987 | − | 24.3692i | −0.556741 | − | 0.881069i | ||||
\(766\) | 21.3552 | + | 12.3294i | 0.771593 | + | 0.445480i | ||||
\(767\) | −51.5400 | + | 5.45200i | −1.86100 | + | 0.196860i | ||||
\(768\) | 0.0345880 | + | 1.73171i | 0.00124809 | + | 0.0624875i | ||||
\(769\) | −28.1406 | − | 16.2470i | −1.01478 | − | 0.585881i | −0.102189 | − | 0.994765i | \(-0.532585\pi\) |
−0.912586 | + | 0.408884i | \(0.865918\pi\) | |||||||
\(770\) | 0.948022 | − | 4.58779i | 0.0341644 | − | 0.165333i | ||||
\(771\) | −0.415918 | − | 20.8236i | −0.0149789 | − | 0.749944i | ||||
\(772\) | 2.73242 | + | 4.73270i | 0.0983421 | + | 0.170334i | ||||
\(773\) | 12.3187 | 0.443073 | 0.221537 | − | 0.975152i | \(-0.428893\pi\) | ||||
0.221537 | + | 0.975152i | \(0.428893\pi\) | |||||||
\(774\) | 30.8592 | − | 19.4997i | 1.10921 | − | 0.700901i | ||||
\(775\) | 13.4263 | − | 7.75169i | 0.482288 | − | 0.278449i | ||||
\(776\) | −1.26293 | − | 2.18746i | −0.0453365 | − | 0.0785251i | ||||
\(777\) | 10.5601 | + | 29.8721i | 0.378840 | + | 1.07166i | ||||
\(778\) | −1.81078 | + | 3.13636i | −0.0649195 | + | 0.112444i | ||||
\(779\) | 25.7693 | − | 14.8779i | 0.923282 | − | 0.533057i | ||||
\(780\) | −6.96104 | + | 5.28039i | −0.249245 | + | 0.189068i | ||||
\(781\) | 2.76855 | − | 4.79527i | 0.0990666 | − | 0.171588i | ||||
\(782\) | −17.2872 | −0.618189 | ||||||||
\(783\) | −12.2165 | + | 24.4306i | −0.436583 | + | 0.873080i | ||||
\(784\) | 5.61612 | − | 4.17842i | 0.200576 | − | 0.149229i | ||||
\(785\) | 8.59907i | 0.306914i | ||||||||
\(786\) | −15.5639 | − | 25.7555i | −0.555145 | − | 0.918670i | ||||
\(787\) | 32.1160i | 1.14481i | 0.819970 | + | 0.572407i | \(0.193990\pi\) | ||||
−0.819970 | + | 0.572407i | \(0.806010\pi\) | |||||||
\(788\) | −22.5837 | − | 13.0387i | −0.804512 | − | 0.464485i | ||||
\(789\) | −1.69745 | − | 2.80900i | −0.0604310 | − | 0.100003i | ||||
\(790\) | 17.2997 | + | 9.98799i | 0.615496 | + | 0.355357i | ||||
\(791\) | −21.6864 | + | 24.3615i | −0.771081 | + | 0.866194i | ||||
\(792\) | −2.02818 | − | 3.20969i | −0.0720681 | − | 0.114051i | ||||
\(793\) | −10.1300 | − | 4.50205i | −0.359728 | − | 0.159873i | ||||
\(794\) | 7.01373 | − | 12.1481i | 0.248908 | − | 0.431121i | ||||
\(795\) | 1.24242 | − | 0.0248154i | 0.0440642 | − | 0.000880110i | ||||
\(796\) | − | 13.7069i | − | 0.485828i | ||||||
\(797\) | −8.26661 | − | 14.3182i | −0.292819 | − | 0.507177i | 0.681657 | − | 0.731672i | \(-0.261260\pi\) |
−0.974475 | + | 0.224496i | \(0.927927\pi\) | |||||||
\(798\) | −20.7789 | − | 3.86278i | −0.735564 | − | 0.136741i | ||||
\(799\) | −10.8800 | − | 18.8447i | −0.384906 | − | 0.666676i | ||||
\(800\) | 2.63497 | + | 1.52130i | 0.0931603 | + | 0.0537861i | ||||
\(801\) | 47.6240 | − | 1.90319i | 1.68271 | − | 0.0672457i | ||||
\(802\) | −31.9750 | −1.12907 | ||||||||
\(803\) | 10.5855 | 0.373555 | ||||||||
\(804\) | 0.925734 | − | 0.559414i | 0.0326481 | − | 0.0197290i | ||||
\(805\) | 6.19500 | − | 6.95916i | 0.218345 | − | 0.245278i | ||||
\(806\) | −7.46125 | + | 16.7885i | −0.262811 | + | 0.591350i | ||||
\(807\) | 0.863756 | + | 43.2454i | 0.0304057 | + | 1.52231i | ||||
\(808\) | −7.30458 | + | 4.21730i | −0.256974 | + | 0.148364i | ||||
\(809\) | −7.01097 | + | 4.04779i | −0.246493 | + | 0.142313i | −0.618157 | − | 0.786054i | \(-0.712120\pi\) |
0.371665 | + | 0.928367i | \(0.378787\pi\) | |||||||
\(810\) | 10.3675 | − | 7.14591i | 0.364277 | − | 0.251082i | ||||
\(811\) | 19.7787i | 0.694525i | 0.937768 | + | 0.347263i | \(0.112889\pi\) | ||||
−0.937768 | + | 0.347263i | \(0.887111\pi\) | |||||||
\(812\) | −13.6203 | − | 2.81449i | −0.477978 | − | 0.0987694i | ||||
\(813\) | 13.8371 | − | 0.276374i | 0.485288 | − | 0.00969285i | ||||
\(814\) | 4.37513 | + | 7.57795i | 0.153348 | + | 0.265607i | ||||
\(815\) | −19.2927 | −0.675793 | ||||||||
\(816\) | −0.237552 | − | 11.8934i | −0.00831599 | − | 0.416354i | ||||
\(817\) | − | 56.1185i | − | 1.96334i | ||||||
\(818\) | 0.556454 | 0.0194559 | ||||||||
\(819\) | 25.5775 | − | 12.8371i | 0.893751 | − | 0.448564i | ||||
\(820\) | −9.02656 | −0.315221 | ||||||||
\(821\) | − | 22.5545i | − | 0.787157i | −0.919291 | − | 0.393579i | \(-0.871237\pi\) | ||
0.919291 | − | 0.393579i | \(-0.128763\pi\) | |||||||
\(822\) | 0.245015 | + | 12.2671i | 0.00854587 | + | 0.427863i | ||||
\(823\) | −37.7875 | −1.31719 | −0.658595 | − | 0.752498i | \(-0.728849\pi\) | ||||
−0.658595 | + | 0.752498i | \(0.728849\pi\) | |||||||
\(824\) | 5.91907 | + | 10.2521i | 0.206201 | + | 0.357150i | ||||
\(825\) | −6.66829 | + | 0.133188i | −0.232160 | + | 0.00463702i | ||||
\(826\) | 11.9570 | + | 36.1025i | 0.416039 | + | 1.25617i | ||||
\(827\) | − | 6.55062i | − | 0.227788i | −0.993493 | − | 0.113894i | \(-0.963668\pi\) | ||
0.993493 | − | 0.113894i | \(-0.0363323\pi\) | |||||||
\(828\) | −0.301523 | − | 7.54512i | −0.0104787 | − | 0.262211i | ||||
\(829\) | 7.89232 | − | 4.55664i | 0.274112 | − | 0.158258i | −0.356643 | − | 0.934241i | \(-0.616079\pi\) |
0.630755 | + | 0.775982i | \(0.282745\pi\) | |||||||
\(830\) | 4.26576 | − | 2.46284i | 0.148067 | − | 0.0854863i | ||||
\(831\) | −0.573021 | − | 28.6892i | −0.0198779 | − | 0.995218i | ||||
\(832\) | −3.58555 | + | 0.379286i | −0.124306 | + | 0.0131494i | ||||
\(833\) | −38.5718 | + | 28.6976i | −1.33643 | + | 0.994313i | ||||
\(834\) | 3.31879 | − | 2.00552i | 0.114920 | − | 0.0694455i | ||||
\(835\) | 20.8973 | 0.723181 | ||||||||
\(836\) | −5.83693 | −0.201875 | ||||||||
\(837\) | 11.8416 | − | 23.6810i | 0.409307 | − | 0.818534i | ||||
\(838\) | −13.3335 | − | 7.69809i | −0.460598 | − | 0.265926i | ||||
\(839\) | −9.49359 | − | 16.4434i | −0.327755 | − | 0.567688i | 0.654311 | − | 0.756226i | \(-0.272959\pi\) |
−0.982066 | + | 0.188537i | \(0.939625\pi\) | |||||||
\(840\) | 4.87297 | + | 4.16648i | 0.168133 | + | 0.143757i | ||||
\(841\) | −0.683344 | − | 1.18359i | −0.0235636 | − | 0.0408133i | ||||
\(842\) | 5.44197i | 0.187543i | ||||||||
\(843\) | 2.04684 | − | 0.0408823i | 0.0704969 | − | 0.00140806i | ||||
\(844\) | −6.43745 | + | 11.1500i | −0.221586 | + | 0.383798i | ||||
\(845\) | −12.1882 | − | 13.4999i | −0.419287 | − | 0.464412i | ||||
\(846\) | 8.03512 | − | 5.07733i | 0.276253 | − | 0.174562i | ||||
\(847\) | 5.03190 | − | 24.3510i | 0.172898 | − | 0.836711i | ||||
\(848\) | 0.444106 | + | 0.256405i | 0.0152506 | + | 0.00880497i | ||||
\(849\) | 29.4312 | + | 48.7035i | 1.01007 | + | 1.67150i | ||||
\(850\) | −18.0971 | − | 10.4484i | −0.620726 | − | 0.358376i | ||||
\(851\) | 17.4027i | 0.596558i | ||||||||
\(852\) | 3.91924 | + | 6.48567i | 0.134271 | + | 0.222195i | ||||
\(853\) | 46.7396i | 1.60033i | 0.599779 | + | 0.800166i | \(0.295255\pi\) | ||||
−0.599779 | + | 0.800166i | \(0.704745\pi\) | |||||||
\(854\) | −1.64613 | + | 7.96616i | −0.0563294 | + | 0.272597i | ||||
\(855\) | −0.772963 | − | 19.3421i | −0.0264348 | − | 0.661486i | ||||
\(856\) | −2.08622 | −0.0713057 | ||||||||
\(857\) | 1.41497 | − | 2.45080i | 0.0483345 | − | 0.0837177i | −0.840846 | − | 0.541274i | \(-0.817942\pi\) |
0.889180 | + | 0.457557i | \(0.151275\pi\) | |||||||
\(858\) | 6.29694 | − | 4.77663i | 0.214974 | − | 0.163071i | ||||
\(859\) | 19.7715 | − | 11.4151i | 0.674595 | − | 0.389478i | −0.123221 | − | 0.992379i | \(-0.539322\pi\) |
0.797815 | + | 0.602902i | \(0.205989\pi\) | |||||||
\(860\) | −8.51189 | + | 14.7430i | −0.290253 | + | 0.502733i | ||||
\(861\) | 29.0680 | + | 5.40372i | 0.990634 | + | 0.184158i | ||||
\(862\) | −11.4264 | − | 19.7911i | −0.389185 | − | 0.674089i | ||||
\(863\) | −40.5300 | + | 23.4000i | −1.37966 | + | 0.796546i | −0.992118 | − | 0.125307i | \(-0.960008\pi\) |
−0.387540 | + | 0.921853i | \(0.626675\pi\) | |||||||
\(864\) | 5.18683 | − | 0.311127i | 0.176460 | − | 0.0105847i | ||||
\(865\) | 7.67715 | 0.261031 | ||||||||
\(866\) | 3.87938 | + | 6.71928i | 0.131827 | + | 0.228330i | ||||
\(867\) | 1.04352 | + | 52.2457i | 0.0354399 | + | 1.77436i | ||||
\(868\) | 13.2023 | + | 2.72813i | 0.448116 | + | 0.0925988i | ||||
\(869\) | −15.6493 | − | 9.03512i | −0.530865 | − | 0.306495i | ||||
\(870\) | −0.254379 | − | 12.7359i | −0.00862426 | − | 0.431788i | ||||
\(871\) | 1.32467 | + | 1.82069i | 0.0448849 | + | 0.0616918i | ||||
\(872\) | 13.6840 | + | 7.90043i | 0.463397 | + | 0.267542i | ||||
\(873\) | −6.40584 | + | 4.04780i | −0.216805 | + | 0.136997i | ||||
\(874\) | −10.0534 | − | 5.80431i | −0.340060 | − | 0.196334i | ||||
\(875\) | 28.2608 | − | 9.35989i | 0.955388 | − | 0.316422i | ||||
\(876\) | −6.99151 | + | 12.6882i | −0.236221 | + | 0.428696i | ||||
\(877\) | 9.58136 | − | 16.5954i | 0.323540 | − | 0.560387i | −0.657676 | − | 0.753301i | \(-0.728460\pi\) |
0.981216 | + | 0.192914i | \(0.0617938\pi\) | |||||||
\(878\) | −41.6588 | −1.40592 | ||||||||
\(879\) | 8.36143 | − | 5.05275i | 0.282024 | − | 0.170425i | ||||
\(880\) | 1.53343 | + | 0.885329i | 0.0516921 | + | 0.0298444i | ||||
\(881\) | −22.6060 | + | 39.1548i | −0.761616 | + | 1.31916i | 0.180401 | + | 0.983593i | \(0.442260\pi\) |
−0.942017 | + | 0.335564i | \(0.891073\pi\) | |||||||
\(882\) | −13.1980 | − | 16.3344i | −0.444401 | − | 0.550007i | ||||
\(883\) | −29.3707 | −0.988402 | −0.494201 | − | 0.869348i | \(-0.664539\pi\) | ||||
−0.494201 | + | 0.869348i | \(0.664539\pi\) | |||||||
\(884\) | 24.6257 | − | 2.60495i | 0.828252 | − | 0.0876140i | ||||
\(885\) | −29.8124 | + | 18.0154i | −1.00213 | + | 0.605580i | ||||
\(886\) | 12.9680 | + | 22.4612i | 0.435667 | + | 0.754598i | ||||
\(887\) | −9.65593 | −0.324214 | −0.162107 | − | 0.986773i | \(-0.551829\pi\) | ||||
−0.162107 | + | 0.986773i | \(0.551829\pi\) | |||||||
\(888\) | −11.9729 | + | 0.239140i | −0.401785 | + | 0.00802500i | ||||
\(889\) | −4.73088 | + | 22.8943i | −0.158669 | + | 0.767850i | ||||
\(890\) | −19.2496 | + | 11.1138i | −0.645248 | + | 0.372534i | ||||
\(891\) | −9.37842 | + | 6.46418i | −0.314189 | + | 0.216558i | ||||
\(892\) | 17.8707 | + | 10.3176i | 0.598354 | + | 0.345460i | ||||
\(893\) | − | 14.6122i | − | 0.488977i | ||||||
\(894\) | −15.1676 | − | 8.35767i | −0.507279 | − | 0.279522i | ||||
\(895\) | −7.54055 | − | 4.35354i | −0.252053 | − | 0.145523i | ||||
\(896\) | 0.831830 | + | 2.51159i | 0.0277895 | + | 0.0839062i | ||||
\(897\) | 15.5956 | − | 1.96538i | 0.520722 | − | 0.0656221i | ||||
\(898\) | 3.00244 | + | 5.20037i | 0.100193 | + | 0.173539i | ||||
\(899\) | −13.3927 | − | 23.1968i | −0.446671 | − | 0.773657i | ||||
\(900\) | 4.24461 | − | 8.08085i | 0.141487 | − | 0.269362i | ||||
\(901\) | −3.05014 | − | 1.76100i | −0.101615 | − | 0.0586674i | ||||
\(902\) | 8.16541 | 0.271878 | ||||||||
\(903\) | 36.2365 | − | 42.3810i | 1.20587 | − | 1.41035i | ||||
\(904\) | −6.16378 | − | 10.6760i | −0.205004 | − | 0.355078i | ||||
\(905\) | −12.4442 | + | 7.18464i | −0.413658 | + | 0.238826i | ||||
\(906\) | −6.02675 | + | 10.9374i | −0.200225 | + | 0.363371i | ||||
\(907\) | −8.64496 | − | 14.9735i | −0.287051 | − | 0.497187i | 0.686053 | − | 0.727551i | \(-0.259342\pi\) |
−0.973105 | + | 0.230364i | \(0.926008\pi\) | |||||||
\(908\) | −18.2051 | −0.604157 | ||||||||
\(909\) | 13.5168 | + | 21.3911i | 0.448325 | + | 0.709496i | ||||
\(910\) | −7.77616 | + | 10.8469i | −0.257777 | + | 0.359570i | ||||
\(911\) | − | 27.9182i | − | 0.924970i | −0.886627 | − | 0.462485i | \(-0.846958\pi\) | ||
0.886627 | − | 0.462485i | \(-0.153042\pi\) | |||||||
\(912\) | 3.85517 | − | 6.99639i | 0.127657 | − | 0.231673i | ||||
\(913\) | −3.85880 | + | 2.22788i | −0.127708 | + | 0.0737320i | ||||
\(914\) | − | 29.6490i | − | 0.980700i | ||||||
\(915\) | −7.44892 | + | 0.148780i | −0.246254 | + | 0.00491852i | ||||
\(916\) | 16.0335 | − | 9.25697i | 0.529763 | − | 0.305859i | ||||
\(917\) | −34.3344 | − | 30.5643i | −1.13382 | − | 1.00932i | ||||
\(918\) | −35.6234 | + | 2.13683i | −1.17575 | + | 0.0705260i | ||||
\(919\) | 6.32253 | − | 10.9509i | 0.208561 | − | 0.361238i | −0.742700 | − | 0.669624i | \(-0.766455\pi\) |
0.951261 | + | 0.308385i | \(0.0997886\pi\) | |||||||
\(920\) | 1.76076 | + | 3.04973i | 0.0580506 | + | 0.100547i | ||||
\(921\) | 44.0821 | − | 0.880468i | 1.45255 | − | 0.0290124i | ||||
\(922\) | −6.58672 | + | 3.80284i | −0.216922 | + | 0.125240i | ||||
\(923\) | −12.7557 | + | 9.28065i | −0.419860 | + | 0.305476i | ||||
\(924\) | −4.40808 | − | 3.76899i | −0.145015 | − | 0.123991i | ||||
\(925\) | −10.5182 | + | 18.2181i | −0.345836 | + | 0.599006i | ||||
\(926\) | − | 13.7605i | − | 0.452199i | ||||||
\(927\) | 30.0228 | − | 18.9712i | 0.986079 | − | 0.623096i | ||||
\(928\) | 2.62837 | − | 4.55247i | 0.0862805 | − | 0.149442i | ||||
\(929\) | 10.6030 | − | 18.3649i | 0.347873 | − | 0.602534i | −0.637998 | − | 0.770038i | \(-0.720237\pi\) |
0.985871 | + | 0.167504i | \(0.0535707\pi\) | |||||||
\(930\) | 0.246573 | + | 12.3451i | 0.00808546 | + | 0.404812i | ||||
\(931\) | −32.0669 | + | 3.73831i | −1.05095 | + | 0.122518i | ||||
\(932\) | −9.27681 | + | 5.35597i | −0.303872 | + | 0.175441i | ||||
\(933\) | −22.1616 | − | 12.2115i | −0.725538 | − | 0.399788i | ||||
\(934\) | −14.0396 | + | 8.10576i | −0.459390 | + | 0.265229i | ||||
\(935\) | −10.5317 | − | 6.08048i | −0.344424 | − | 0.198853i | ||||
\(936\) | 1.56647 | + | 10.7026i | 0.0512017 | + | 0.349826i | ||||
\(937\) | − | 44.9305i | − | 1.46782i | −0.679249 | − | 0.733908i | \(-0.737694\pi\) | ||
0.679249 | − | 0.733908i | \(-0.262306\pi\) | |||||||
\(938\) | 1.09857 | − | 1.23408i | 0.0358697 | − | 0.0402943i | ||||
\(939\) | −9.91692 | − | 16.4108i | −0.323627 | − | 0.535547i | ||||
\(940\) | −2.21633 | + | 3.83879i | −0.0722887 | + | 0.125208i | ||||
\(941\) | 12.0246 | − | 20.8273i | 0.391992 | − | 0.678950i | −0.600720 | − | 0.799459i | \(-0.705120\pi\) |
0.992712 | + | 0.120510i | \(0.0384529\pi\) | |||||||
\(942\) | 9.32387 | + | 5.13766i | 0.303788 | + | 0.167394i | ||||
\(943\) | 14.0639 | + | 8.11977i | 0.457982 | + | 0.264416i | ||||
\(944\) | −14.3744 | −0.467847 | ||||||||
\(945\) | 11.9057 | − | 15.1064i | 0.387293 | − | 0.491410i | ||||
\(946\) | 7.69984 | − | 13.3365i | 0.250343 | − | 0.433608i | ||||
\(947\) | 7.20515i | 0.234136i | 0.993124 | + | 0.117068i | \(0.0373495\pi\) | ||||
−0.993124 | + | 0.117068i | \(0.962650\pi\) | |||||||
\(948\) | 21.1659 | − | 12.7904i | 0.687435 | − | 0.415412i | ||||
\(949\) | −27.5580 | − | 12.2475i | −0.894572 | − | 0.397571i | ||||
\(950\) | −7.01625 | − | 12.1525i | −0.227637 | − | 0.394279i | ||||
\(951\) | 13.8444 | + | 22.9101i | 0.448935 | + | 0.742910i | ||||
\(952\) | −5.71305 | − | 17.2497i | −0.185161 | − | 0.559066i | ||||
\(953\) | −50.9766 | + | 29.4313i | −1.65129 | + | 0.953374i | −0.674751 | + | 0.738046i | \(0.735749\pi\) |
−0.976542 | + | 0.215329i | \(0.930918\pi\) | |||||||
\(954\) | 0.715400 | − | 1.36197i | 0.0231619 | − | 0.0440954i | ||||
\(955\) | 13.5889i | 0.439727i | ||||||||
\(956\) | 3.88709i | 0.125718i | ||||||||
\(957\) | 0.230111 | + | 11.5209i | 0.00743843 | + | 0.372417i | ||||
\(958\) | 6.64153 | − | 3.83449i | 0.214578 | − | 0.123887i | ||||
\(959\) | 5.89252 | + | 17.7916i | 0.190279 | + | 0.574520i | ||||
\(960\) | −2.07399 | + | 1.25330i | −0.0669378 | + | 0.0404500i | ||||
\(961\) | −2.51828 | − | 4.36179i | −0.0812348 | − | 0.140703i | ||||
\(962\) | −2.62236 | − | 24.7903i | −0.0845483 | − | 0.799271i | ||||
\(963\) | 0.249914 | + | 6.25368i | 0.00805337 | + | 0.201522i | ||||
\(964\) | 6.18514i | 0.199210i | ||||||||
\(965\) | −3.82285 | + | 6.62138i | −0.123062 | + | 0.213150i | ||||
\(966\) | −3.84442 | − | 10.8750i | −0.123692 | − | 0.349898i | ||||
\(967\) | −8.84170 | −0.284330 | −0.142165 | − | 0.989843i | \(-0.545406\pi\) | ||||
−0.142165 | + | 0.989843i | \(0.545406\pi\) | |||||||
\(968\) | 8.13914 | + | 4.69913i | 0.261602 | + | 0.151036i | ||||
\(969\) | −26.4775 | + | 48.0515i | −0.850579 | + | 1.54364i | ||||
\(970\) | 1.76692 | − | 3.06040i | 0.0567325 | − | 0.0982636i | ||||
\(971\) | 3.61560 | − | 6.26240i | 0.116030 | − | 0.200970i | −0.802161 | − | 0.597108i | \(-0.796316\pi\) |
0.918191 | + | 0.396138i | \(0.129650\pi\) | |||||||
\(972\) | −1.55398 | − | 15.5108i | −0.0498439 | − | 0.497509i | ||||
\(973\) | 3.93843 | − | 4.42424i | 0.126260 | − | 0.141835i | ||||
\(974\) | 1.25273i | 0.0401402i | ||||||||
\(975\) | 17.5141 | + | 7.36851i | 0.560901 | + | 0.235981i | ||||
\(976\) | −2.66263 | − | 1.53727i | −0.0852287 | − | 0.0492068i | ||||
\(977\) | 46.8604 | − | 27.0549i | 1.49920 | − | 0.865562i | 0.499198 | − | 0.866488i | \(-0.333628\pi\) |
1.00000 | 0.000926109i | \(0.000294790\pi\) | ||||||||
\(978\) | −11.5267 | + | 20.9188i | −0.368585 | + | 0.668910i | ||||
\(979\) | 17.4131 | − | 10.0535i | 0.556527 | − | 0.321311i | ||||
\(980\) | 8.99138 | + | 3.88171i | 0.287219 | + | 0.123997i | ||||
\(981\) | 22.0432 | − | 41.9655i | 0.703784 | − | 1.33986i | ||||
\(982\) | −1.03105 | + | 1.78584i | −0.0329023 | + | 0.0569884i | ||||
\(983\) | −9.49650 | + | 16.4484i | −0.302891 | + | 0.524623i | −0.976790 | − | 0.214201i | \(-0.931285\pi\) |
0.673898 | + | 0.738824i | \(0.264619\pi\) | |||||||
\(984\) | −5.39307 | + | 9.78739i | −0.171925 | + | 0.312011i | ||||
\(985\) | − | 36.4842i | − | 1.16248i | ||||||
\(986\) | −18.0518 | + | 31.2666i | −0.574886 | + | 0.995731i | ||||
\(987\) | 9.43526 | − | 11.0352i | 0.300328 | − | 0.351253i | ||||
\(988\) | 15.1957 | + | 6.75337i | 0.483440 | + | 0.214853i | ||||
\(989\) | 26.5240 | − | 15.3136i | 0.843413 | − | 0.486945i | ||||
\(990\) | 2.47017 | − | 4.70269i | 0.0785073 | − | 0.149461i | ||||
\(991\) | 4.42404 | + | 7.66266i | 0.140534 | + | 0.243412i | 0.927698 | − | 0.373332i | \(-0.121785\pi\) |
−0.787164 | + | 0.616744i | \(0.788451\pi\) | |||||||
\(992\) | −2.54772 | + | 4.41277i | −0.0808901 | + | 0.140106i | ||||
\(993\) | 1.50685 | + | 0.830311i | 0.0478186 | + | 0.0263491i | ||||
\(994\) | 8.64597 | + | 7.69659i | 0.274233 | + | 0.244121i | ||||
\(995\) | 16.6077 | − | 9.58845i | 0.526499 | − | 0.303974i | ||||
\(996\) | −0.121773 | − | 6.09678i | −0.00385853 | − | 0.193184i | ||||
\(997\) | − | 31.9533i | − | 1.01197i | −0.862542 | − | 0.505986i | \(-0.831129\pi\) | ||
0.862542 | − | 0.505986i | \(-0.168871\pi\) | |||||||
\(998\) | 10.6042 | − | 6.12234i | 0.335670 | − | 0.193799i | ||||
\(999\) | 2.15111 | + | 35.8615i | 0.0680582 | + | 1.13461i |
(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.bb.a.269.29 | yes | 76 | |
3.2 | odd | 2 | inner | 546.2.bb.a.269.4 | yes | 76 | |
7.5 | odd | 6 | 546.2.u.a.425.35 | yes | 76 | ||
13.3 | even | 3 | 546.2.u.a.185.4 | ✓ | 76 | ||
21.5 | even | 6 | 546.2.u.a.425.4 | yes | 76 | ||
39.29 | odd | 6 | 546.2.u.a.185.35 | yes | 76 | ||
91.68 | odd | 6 | inner | 546.2.bb.a.341.23 | yes | 76 | |
273.68 | even | 6 | inner | 546.2.bb.a.341.10 | yes | 76 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.u.a.185.4 | ✓ | 76 | 13.3 | even | 3 | ||
546.2.u.a.185.35 | yes | 76 | 39.29 | odd | 6 | ||
546.2.u.a.425.4 | yes | 76 | 21.5 | even | 6 | ||
546.2.u.a.425.35 | yes | 76 | 7.5 | odd | 6 | ||
546.2.bb.a.269.4 | yes | 76 | 3.2 | odd | 2 | inner | |
546.2.bb.a.269.29 | yes | 76 | 1.1 | even | 1 | trivial | |
546.2.bb.a.341.10 | yes | 76 | 273.68 | even | 6 | inner | |
546.2.bb.a.341.23 | yes | 76 | 91.68 | odd | 6 | inner |