Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(311,546)]
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, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.311");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bg (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: | \(36\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 467.16 | ||
Character | \(\chi\) | \(=\) | 546.467 |
Dual form | 546.2.bg.a.311.16 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | + | 0.866025i | −0.353553 | + | 0.612372i | ||||
\(3\) | 1.57792 | − | 0.714250i | 0.911015 | − | 0.412372i | ||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | 2.19770 | + | 1.26884i | 0.982839 | + | 0.567442i | 0.903126 | − | 0.429375i | \(-0.141266\pi\) |
0.0797131 | + | 0.996818i | \(0.474600\pi\) | |||||||
\(6\) | −0.170404 | + | 1.72365i | −0.0695671 | + | 0.703676i | ||||
\(7\) | 2.61925 | − | 0.373536i | 0.989983 | − | 0.141183i | ||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 1.97969 | − | 2.25407i | 0.659898 | − | 0.751355i | ||||
\(10\) | −2.19770 | + | 1.26884i | −0.694972 | + | 0.401242i | ||||
\(11\) | 1.32440 | + | 2.29393i | 0.399321 | + | 0.691645i | 0.993642 | − | 0.112583i | \(-0.0359125\pi\) |
−0.594321 | + | 0.804228i | \(0.702579\pi\) | |||||||
\(12\) | −1.40752 | − | 1.00940i | −0.406316 | − | 0.291388i | ||||
\(13\) | −3.59958 | + | 0.207354i | −0.998345 | + | 0.0575096i | ||||
\(14\) | −0.986133 | + | 2.45511i | −0.263555 | + | 0.656154i | ||||
\(15\) | 4.37407 | + | 0.432430i | 1.12938 | + | 0.111653i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −1.84623 | − | 3.19777i | −0.447777 | − | 0.775572i | 0.550464 | − | 0.834859i | \(-0.314451\pi\) |
−0.998241 | + | 0.0592866i | \(0.981117\pi\) | |||||||
\(18\) | 0.962231 | + | 2.84150i | 0.226800 | + | 0.669748i | ||||
\(19\) | 0.241819 | − | 0.418842i | 0.0554770 | − | 0.0960890i | −0.836953 | − | 0.547274i | \(-0.815665\pi\) |
0.892430 | + | 0.451185i | \(0.148999\pi\) | |||||||
\(20\) | − | 2.53768i | − | 0.567442i | ||||||
\(21\) | 3.86618 | − | 2.46021i | 0.843670 | − | 0.536862i | ||||
\(22\) | −2.64880 | −0.564725 | ||||||||
\(23\) | −4.09436 | − | 2.36388i | −0.853734 | − | 0.492903i | 0.00817520 | − | 0.999967i | \(-0.497398\pi\) |
−0.861909 | + | 0.507063i | \(0.830731\pi\) | |||||||
\(24\) | 1.57792 | − | 0.714250i | 0.322093 | − | 0.145796i | ||||
\(25\) | 0.719909 | + | 1.24692i | 0.143982 | + | 0.249384i | ||||
\(26\) | 1.62022 | − | 3.22101i | 0.317751 | − | 0.631692i | ||||
\(27\) | 1.51384 | − | 4.97074i | 0.291339 | − | 0.956620i | ||||
\(28\) | −1.63312 | − | 2.08157i | −0.308630 | − | 0.393380i | ||||
\(29\) | 6.93400i | 1.28761i | 0.765189 | + | 0.643805i | \(0.222645\pi\) | ||||
−0.765189 | + | 0.643805i | \(0.777355\pi\) | |||||||
\(30\) | −2.56153 | + | 3.57184i | −0.467669 | + | 0.652125i | ||||
\(31\) | 2.71148 | + | 4.69643i | 0.486997 | + | 0.843503i | 0.999888 | − | 0.0149503i | \(-0.00475901\pi\) |
−0.512891 | + | 0.858453i | \(0.671426\pi\) | |||||||
\(32\) | −0.500000 | − | 0.866025i | −0.0883883 | − | 0.153093i | ||||
\(33\) | 3.72824 | + | 2.67369i | 0.649003 | + | 0.465430i | ||||
\(34\) | 3.69246 | 0.633252 | ||||||||
\(35\) | 6.23027 | + | 2.50249i | 1.05311 | + | 0.422998i | ||||
\(36\) | −2.94193 | − | 0.587433i | −0.490321 | − | 0.0979054i | ||||
\(37\) | −5.90071 | − | 3.40678i | −0.970071 | − | 0.560071i | −0.0708132 | − | 0.997490i | \(-0.522559\pi\) |
−0.899258 | + | 0.437419i | \(0.855893\pi\) | |||||||
\(38\) | 0.241819 | + | 0.418842i | 0.0392282 | + | 0.0679452i | ||||
\(39\) | −5.53177 | + | 2.89819i | −0.885792 | + | 0.464082i | ||||
\(40\) | 2.19770 | + | 1.26884i | 0.347486 | + | 0.200621i | ||||
\(41\) | 3.03693i | 0.474289i | 0.971474 | + | 0.237145i | \(0.0762115\pi\) | ||||
−0.971474 | + | 0.237145i | \(0.923788\pi\) | |||||||
\(42\) | 0.197515 | + | 4.57832i | 0.0304772 | + | 0.706450i | ||||
\(43\) | 5.11062 | 0.779362 | 0.389681 | − | 0.920950i | \(-0.372585\pi\) | ||||
0.389681 | + | 0.920950i | \(0.372585\pi\) | |||||||
\(44\) | 1.32440 | − | 2.29393i | 0.199661 | − | 0.345822i | ||||
\(45\) | 7.21081 | − | 2.44183i | 1.07492 | − | 0.364007i | ||||
\(46\) | 4.09436 | − | 2.36388i | 0.603681 | − | 0.348535i | ||||
\(47\) | −6.66192 | − | 3.84626i | −0.971741 | − | 0.561035i | −0.0719745 | − | 0.997406i | \(-0.522930\pi\) |
−0.899767 | + | 0.436371i | \(0.856263\pi\) | |||||||
\(48\) | −0.170404 | + | 1.72365i | −0.0245957 | + | 0.248787i | ||||
\(49\) | 6.72094 | − | 1.95677i | 0.960134 | − | 0.279539i | ||||
\(50\) | −1.43982 | −0.203621 | ||||||||
\(51\) | −5.19722 | − | 3.72716i | −0.727756 | − | 0.521907i | ||||
\(52\) | 1.97937 | + | 3.01365i | 0.274489 | + | 0.417919i | ||||
\(53\) | 8.13530 | − | 4.69692i | 1.11747 | − | 0.645171i | 0.176716 | − | 0.984262i | \(-0.443453\pi\) |
0.940754 | + | 0.339091i | \(0.110119\pi\) | |||||||
\(54\) | 3.54787 | + | 3.79640i | 0.482804 | + | 0.516624i | ||||
\(55\) | 6.72180i | 0.906367i | ||||||||
\(56\) | 2.61925 | − | 0.373536i | 0.350012 | − | 0.0499159i | ||||
\(57\) | 0.0824136 | − | 0.833620i | 0.0109160 | − | 0.110416i | ||||
\(58\) | −6.00502 | − | 3.46700i | −0.788497 | − | 0.455239i | ||||
\(59\) | −4.98510 | + | 2.87815i | −0.649005 | + | 0.374703i | −0.788075 | − | 0.615579i | \(-0.788922\pi\) |
0.139070 | + | 0.990283i | \(0.455589\pi\) | |||||||
\(60\) | −1.81254 | − | 4.00427i | −0.233998 | − | 0.516949i | ||||
\(61\) | 4.25236 | + | 2.45510i | 0.544459 | + | 0.314343i | 0.746884 | − | 0.664954i | \(-0.231549\pi\) |
−0.202425 | + | 0.979298i | \(0.564882\pi\) | |||||||
\(62\) | −5.42297 | −0.688717 | ||||||||
\(63\) | 4.34334 | − | 6.64345i | 0.547209 | − | 0.836996i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −8.17389 | − | 4.11159i | −1.01385 | − | 0.509981i | ||||
\(66\) | −4.17960 | + | 1.89190i | −0.514474 | + | 0.232877i | ||||
\(67\) | 1.38217 | − | 0.797996i | 0.168859 | − | 0.0974908i | −0.413189 | − | 0.910645i | \(-0.635585\pi\) |
0.582048 | + | 0.813155i | \(0.302252\pi\) | |||||||
\(68\) | −1.84623 | + | 3.19777i | −0.223888 | + | 0.387786i | ||||
\(69\) | −8.14900 | − | 0.805629i | −0.981024 | − | 0.0969863i | ||||
\(70\) | −5.28236 | + | 4.14433i | −0.631362 | + | 0.495342i | ||||
\(71\) | −12.9028 | −1.53128 | −0.765638 | − | 0.643272i | \(-0.777577\pi\) | ||||
−0.765638 | + | 0.643272i | \(0.777577\pi\) | |||||||
\(72\) | 1.97969 | − | 2.25407i | 0.233309 | − | 0.265644i | ||||
\(73\) | 6.57447 | + | 11.3873i | 0.769484 | + | 1.33279i | 0.937843 | + | 0.347060i | \(0.112820\pi\) |
−0.168359 | + | 0.985726i | \(0.553847\pi\) | |||||||
\(74\) | 5.90071 | − | 3.40678i | 0.685944 | − | 0.396030i | ||||
\(75\) | 2.02658 | + | 1.45335i | 0.234009 | + | 0.167818i | ||||
\(76\) | −0.483637 | −0.0554770 | ||||||||
\(77\) | 4.32580 | + | 5.51365i | 0.492970 | + | 0.628339i | ||||
\(78\) | 0.255978 | − | 6.23975i | 0.0289838 | − | 0.706513i | ||||
\(79\) | −3.75864 | + | 6.51016i | −0.422880 | + | 0.732450i | −0.996220 | − | 0.0868676i | \(-0.972314\pi\) |
0.573339 | + | 0.819318i | \(0.305648\pi\) | |||||||
\(80\) | −2.19770 | + | 1.26884i | −0.245710 | + | 0.141861i | ||||
\(81\) | −1.16162 | − | 8.92472i | −0.129069 | − | 0.991636i | ||||
\(82\) | −2.63006 | − | 1.51847i | −0.290442 | − | 0.167687i | ||||
\(83\) | 3.10022i | 0.340293i | 0.985419 | + | 0.170146i | \(0.0544241\pi\) | ||||
−0.985419 | + | 0.170146i | \(0.945576\pi\) | |||||||
\(84\) | −4.06370 | − | 2.11811i | −0.443386 | − | 0.231104i | ||||
\(85\) | − | 9.37029i | − | 1.01635i | ||||||
\(86\) | −2.55531 | + | 4.42592i | −0.275546 | + | 0.477260i | ||||
\(87\) | 4.95261 | + | 10.9413i | 0.530975 | + | 1.17303i | ||||
\(88\) | 1.32440 | + | 2.29393i | 0.141181 | + | 0.244533i | ||||
\(89\) | −2.37997 | − | 1.37408i | −0.252276 | − | 0.145652i | 0.368530 | − | 0.929616i | \(-0.379861\pi\) |
−0.620806 | + | 0.783964i | \(0.713195\pi\) | |||||||
\(90\) | −1.49072 | + | 7.46566i | −0.157135 | + | 0.786950i | ||||
\(91\) | −9.35076 | + | 1.88769i | −0.980226 | + | 0.197883i | ||||
\(92\) | 4.72776i | 0.492903i | ||||||||
\(93\) | 7.63294 | + | 5.47393i | 0.791499 | + | 0.567620i | ||||
\(94\) | 6.66192 | − | 3.84626i | 0.687125 | − | 0.396712i | ||||
\(95\) | 1.06289 | − | 0.613658i | 0.109050 | − | 0.0629600i | ||||
\(96\) | −1.40752 | − | 1.00940i | −0.143655 | − | 0.103021i | ||||
\(97\) | −5.91584 | −0.600663 | −0.300331 | − | 0.953835i | \(-0.597097\pi\) | ||||
−0.300331 | + | 0.953835i | \(0.597097\pi\) | |||||||
\(98\) | −1.66586 | + | 6.79889i | −0.168277 | + | 0.686792i | ||||
\(99\) | 7.79256 | + | 1.55599i | 0.783182 | + | 0.156383i | ||||
\(100\) | 0.719909 | − | 1.24692i | 0.0719909 | − | 0.124692i | ||||
\(101\) | −6.93191 | − | 12.0064i | −0.689751 | − | 1.19468i | −0.971918 | − | 0.235318i | \(-0.924387\pi\) |
0.282167 | − | 0.959365i | \(-0.408947\pi\) | |||||||
\(102\) | 5.82643 | − | 2.63734i | 0.576902 | − | 0.261136i | ||||
\(103\) | −7.90784 | − | 4.56559i | −0.779183 | − | 0.449861i | 0.0569579 | − | 0.998377i | \(-0.481860\pi\) |
−0.836141 | + | 0.548515i | \(0.815193\pi\) | |||||||
\(104\) | −3.59958 | + | 0.207354i | −0.352968 | + | 0.0203327i | ||||
\(105\) | 11.6183 | − | 0.501230i | 1.13383 | − | 0.0489150i | ||||
\(106\) | 9.39383i | 0.912410i | ||||||||
\(107\) | −6.73065 | − | 3.88594i | −0.650677 | − | 0.375668i | 0.138039 | − | 0.990427i | \(-0.455920\pi\) |
−0.788716 | + | 0.614758i | \(0.789254\pi\) | |||||||
\(108\) | −5.06171 | + | 1.17435i | −0.487063 | + | 0.113001i | ||||
\(109\) | 11.8250 | − | 6.82718i | 1.13263 | − | 0.653925i | 0.188037 | − | 0.982162i | \(-0.439788\pi\) |
0.944596 | + | 0.328237i | \(0.106454\pi\) | |||||||
\(110\) | −5.82125 | − | 3.36090i | −0.555034 | − | 0.320449i | ||||
\(111\) | −11.7442 | − | 1.16106i | −1.11471 | − | 0.110203i | ||||
\(112\) | −0.986133 | + | 2.45511i | −0.0931808 | + | 0.231986i | ||||
\(113\) | 20.5235i | 1.93068i | 0.260987 | + | 0.965342i | \(0.415952\pi\) | ||||
−0.260987 | + | 0.965342i | \(0.584048\pi\) | |||||||
\(114\) | 0.680730 | + | 0.488182i | 0.0637562 | + | 0.0457225i | ||||
\(115\) | −5.99877 | − | 10.3902i | −0.559389 | − | 0.968889i | ||||
\(116\) | 6.00502 | − | 3.46700i | 0.557552 | − | 0.321903i | ||||
\(117\) | −6.65869 | + | 8.52420i | −0.615596 | + | 0.788062i | ||||
\(118\) | − | 5.75630i | − | 0.529910i | ||||||
\(119\) | −6.03022 | − | 7.68611i | −0.552790 | − | 0.704585i | ||||
\(120\) | 4.37407 | + | 0.432430i | 0.399296 | + | 0.0394753i | ||||
\(121\) | 1.99194 | − | 3.45014i | 0.181085 | − | 0.313649i | ||||
\(122\) | −4.25236 | + | 2.45510i | −0.384990 | + | 0.222274i | ||||
\(123\) | 2.16913 | + | 4.79205i | 0.195584 | + | 0.432085i | ||||
\(124\) | 2.71148 | − | 4.69643i | 0.243498 | − | 0.421752i | ||||
\(125\) | − | 9.03460i | − | 0.808079i | ||||||
\(126\) | 3.58173 | + | 7.08317i | 0.319086 | + | 0.631019i | ||||
\(127\) | −10.7047 | −0.949889 | −0.474945 | − | 0.880016i | \(-0.657532\pi\) | ||||
−0.474945 | + | 0.880016i | \(0.657532\pi\) | |||||||
\(128\) | −0.500000 | + | 0.866025i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | 8.06417 | − | 3.65026i | 0.710010 | − | 0.321387i | ||||
\(130\) | 7.64769 | − | 5.02300i | 0.670747 | − | 0.440546i | ||||
\(131\) | 3.16842 | − | 5.48787i | 0.276826 | − | 0.479478i | −0.693768 | − | 0.720199i | \(-0.744051\pi\) |
0.970594 | + | 0.240721i | \(0.0773839\pi\) | |||||||
\(132\) | 0.451365 | − | 4.56559i | 0.0392863 | − | 0.397384i | ||||
\(133\) | 0.476931 | − | 1.18738i | 0.0413551 | − | 0.102959i | ||||
\(134\) | 1.59599i | 0.137873i | ||||||||
\(135\) | 9.63404 | − | 9.00335i | 0.829166 | − | 0.774885i | ||||
\(136\) | −1.84623 | − | 3.19777i | −0.158313 | − | 0.274206i | ||||
\(137\) | −8.84134 | − | 15.3136i | −0.755367 | − | 1.30833i | −0.945192 | − | 0.326515i | \(-0.894126\pi\) |
0.189825 | − | 0.981818i | \(-0.439208\pi\) | |||||||
\(138\) | 4.77219 | − | 6.65443i | 0.406236 | − | 0.566462i | ||||
\(139\) | − | 16.0938i | − | 1.36506i | −0.730858 | − | 0.682530i | \(-0.760880\pi\) | ||
0.730858 | − | 0.682530i | \(-0.239120\pi\) | |||||||
\(140\) | −0.947916 | − | 6.64682i | −0.0801135 | − | 0.561759i | ||||
\(141\) | −13.2592 | − | 1.31084i | −1.11663 | − | 0.110392i | ||||
\(142\) | 6.45138 | − | 11.1741i | 0.541388 | − | 0.937711i | ||||
\(143\) | −5.24294 | − | 7.98256i | −0.438437 | − | 0.667535i | ||||
\(144\) | 0.962231 | + | 2.84150i | 0.0801859 | + | 0.236792i | ||||
\(145\) | −8.79813 | + | 15.2388i | −0.730645 | + | 1.26551i | ||||
\(146\) | −13.1489 | −1.08821 | ||||||||
\(147\) | 9.20752 | − | 7.88807i | 0.759423 | − | 0.650597i | ||||
\(148\) | 6.81356i | 0.560071i | ||||||||
\(149\) | −1.28692 | + | 2.22901i | −0.105429 | + | 0.182608i | −0.913913 | − | 0.405910i | \(-0.866955\pi\) |
0.808485 | + | 0.588517i | \(0.200288\pi\) | |||||||
\(150\) | −2.27193 | + | 1.02839i | −0.185502 | + | 0.0839677i | ||||
\(151\) | −3.68114 | + | 2.12531i | −0.299567 | + | 0.172955i | −0.642248 | − | 0.766497i | \(-0.721998\pi\) |
0.342681 | + | 0.939452i | \(0.388665\pi\) | |||||||
\(152\) | 0.241819 | − | 0.418842i | 0.0196141 | − | 0.0339726i | ||||
\(153\) | −10.8629 | − | 2.16907i | −0.878217 | − | 0.175359i | ||||
\(154\) | −6.93786 | + | 0.989422i | −0.559069 | + | 0.0797299i | ||||
\(155\) | 13.7618i | 1.10537i | ||||||||
\(156\) | 5.27579 | + | 3.34156i | 0.422401 | + | 0.267539i | ||||
\(157\) | −0.823957 | + | 0.475712i | −0.0657589 | + | 0.0379659i | −0.532519 | − | 0.846418i | \(-0.678755\pi\) |
0.466760 | + | 0.884384i | \(0.345421\pi\) | |||||||
\(158\) | −3.75864 | − | 6.51016i | −0.299022 | − | 0.517921i | ||||
\(159\) | 9.48212 | − | 13.2220i | 0.751981 | − | 1.04857i | ||||
\(160\) | − | 2.53768i | − | 0.200621i | ||||||
\(161\) | −11.6072 | − | 4.66220i | −0.914772 | − | 0.367433i | ||||
\(162\) | 8.30985 | + | 3.45636i | 0.652883 | + | 0.271558i | ||||
\(163\) | 4.74897 | + | 2.74182i | 0.371968 | + | 0.214756i | 0.674318 | − | 0.738441i | \(-0.264438\pi\) |
−0.302350 | + | 0.953197i | \(0.597771\pi\) | |||||||
\(164\) | 2.63006 | − | 1.51847i | 0.205373 | − | 0.118572i | ||||
\(165\) | 4.80104 | + | 10.6065i | 0.373761 | + | 0.825714i | ||||
\(166\) | −2.68487 | − | 1.55011i | −0.208386 | − | 0.120312i | ||||
\(167\) | − | 6.15740i | − | 0.476474i | −0.971207 | − | 0.238237i | \(-0.923431\pi\) | ||
0.971207 | − | 0.238237i | \(-0.0765694\pi\) | |||||||
\(168\) | 3.86618 | − | 2.46021i | 0.298282 | − | 0.189809i | ||||
\(169\) | 12.9140 | − | 1.49278i | 0.993385 | − | 0.114829i | ||||
\(170\) | 8.11491 | + | 4.68514i | 0.622385 | + | 0.359334i | ||||
\(171\) | −0.465371 | − | 1.37425i | −0.0355878 | − | 0.105092i | ||||
\(172\) | −2.55531 | − | 4.42592i | −0.194840 | − | 0.337473i | ||||
\(173\) | 3.45361 | − | 5.98183i | 0.262573 | − | 0.454790i | −0.704352 | − | 0.709851i | \(-0.748762\pi\) |
0.966925 | + | 0.255061i | \(0.0820955\pi\) | |||||||
\(174\) | −11.9518 | − | 1.18158i | −0.906061 | − | 0.0895753i | ||||
\(175\) | 2.35139 | + | 2.99708i | 0.177749 | + | 0.226558i | ||||
\(176\) | −2.64880 | −0.199661 | ||||||||
\(177\) | −5.81040 | + | 8.10211i | −0.436736 | + | 0.608992i | ||||
\(178\) | 2.37997 | − | 1.37408i | 0.178386 | − | 0.102991i | ||||
\(179\) | 1.49413 | − | 0.862637i | 0.111677 | − | 0.0644765i | −0.443121 | − | 0.896462i | \(-0.646129\pi\) |
0.554798 | + | 0.831985i | \(0.312796\pi\) | |||||||
\(180\) | −5.72010 | − | 5.02383i | −0.426351 | − | 0.374454i | ||||
\(181\) | 22.0637i | 1.63998i | 0.572376 | + | 0.819991i | \(0.306022\pi\) | ||||
−0.572376 | + | 0.819991i | \(0.693978\pi\) | |||||||
\(182\) | 3.04059 | − | 9.04184i | 0.225384 | − | 0.670225i | ||||
\(183\) | 8.46346 | + | 0.836717i | 0.625637 | + | 0.0618519i | ||||
\(184\) | −4.09436 | − | 2.36388i | −0.301840 | − | 0.174268i | ||||
\(185\) | −8.64531 | − | 14.9741i | −0.635616 | − | 1.10092i | ||||
\(186\) | −8.55703 | + | 3.87335i | −0.627432 | + | 0.284008i | ||||
\(187\) | 4.89029 | − | 8.47023i | 0.357614 | − | 0.619405i | ||||
\(188\) | 7.69252i | 0.561035i | ||||||||
\(189\) | 2.10838 | − | 13.5851i | 0.153362 | − | 0.988170i | ||||
\(190\) | 1.22732i | 0.0890389i | ||||||||
\(191\) | 22.6677 | + | 13.0872i | 1.64018 | + | 0.946957i | 0.980769 | + | 0.195172i | \(0.0625266\pi\) |
0.659409 | + | 0.751785i | \(0.270807\pi\) | |||||||
\(192\) | 1.57792 | − | 0.714250i | 0.113877 | − | 0.0515466i | ||||
\(193\) | 1.84511 | − | 1.06527i | 0.132814 | − | 0.0766801i | −0.432121 | − | 0.901816i | \(-0.642235\pi\) |
0.564935 | + | 0.825136i | \(0.308901\pi\) | |||||||
\(194\) | 2.95792 | − | 5.12327i | 0.212366 | − | 0.367829i | ||||
\(195\) | −15.8345 | − | 0.649589i | −1.13393 | − | 0.0465181i | ||||
\(196\) | −5.05508 | − | 4.84212i | −0.361077 | − | 0.345866i | ||||
\(197\) | −4.36762 | −0.311180 | −0.155590 | − | 0.987822i | \(-0.549728\pi\) | ||||
−0.155590 | + | 0.987822i | \(0.549728\pi\) | |||||||
\(198\) | −5.24381 | + | 5.97056i | −0.372661 | + | 0.424309i | ||||
\(199\) | −23.1724 | + | 13.3786i | −1.64265 | + | 0.948383i | −0.662760 | + | 0.748832i | \(0.730615\pi\) |
−0.979887 | + | 0.199551i | \(0.936052\pi\) | |||||||
\(200\) | 0.719909 | + | 1.24692i | 0.0509053 | + | 0.0881705i | ||||
\(201\) | 1.61099 | − | 2.24639i | 0.113631 | − | 0.158448i | ||||
\(202\) | 13.8638 | 0.975455 | ||||||||
\(203\) | 2.59010 | + | 18.1619i | 0.181789 | + | 1.27471i | ||||
\(204\) | −0.629210 | + | 6.36451i | −0.0440535 | + | 0.445604i | ||||
\(205\) | −3.85338 | + | 6.67425i | −0.269132 | + | 0.466150i | ||||
\(206\) | 7.90784 | − | 4.56559i | 0.550965 | − | 0.318100i | ||||
\(207\) | −13.4339 | + | 4.54920i | −0.933723 | + | 0.316191i | ||||
\(208\) | 1.62022 | − | 3.22101i | 0.112342 | − | 0.223337i | ||||
\(209\) | 1.28106 | 0.0886125 | ||||||||
\(210\) | −5.37507 | + | 10.3124i | −0.370915 | + | 0.711620i | ||||
\(211\) | −17.3315 | −1.19315 | −0.596575 | − | 0.802557i | \(-0.703472\pi\) | ||||
−0.596575 | + | 0.802557i | \(0.703472\pi\) | |||||||
\(212\) | −8.13530 | − | 4.69692i | −0.558735 | − | 0.322586i | ||||
\(213\) | −20.3596 | + | 9.21580i | −1.39502 | + | 0.631456i | ||||
\(214\) | 6.73065 | − | 3.88594i | 0.460098 | − | 0.265638i | ||||
\(215\) | 11.2316 | + | 6.48455i | 0.765987 | + | 0.442243i | ||||
\(216\) | 1.51384 | − | 4.97074i | 0.103004 | − | 0.338216i | ||||
\(217\) | 8.85634 | + | 11.2883i | 0.601207 | + | 0.766298i | ||||
\(218\) | 13.6544i | 0.924790i | ||||||||
\(219\) | 18.5074 | + | 13.2725i | 1.25062 | + | 0.896874i | ||||
\(220\) | 5.82125 | − | 3.36090i | 0.392468 | − | 0.226592i | ||||
\(221\) | 7.30873 | + | 11.1278i | 0.491639 | + | 0.748537i | ||||
\(222\) | 6.87759 | − | 9.59022i | 0.461594 | − | 0.643654i | ||||
\(223\) | −4.35497 | −0.291630 | −0.145815 | − | 0.989312i | \(-0.546580\pi\) | ||||
−0.145815 | + | 0.989312i | \(0.546580\pi\) | |||||||
\(224\) | −1.63312 | − | 2.08157i | −0.109117 | − | 0.139081i | ||||
\(225\) | 4.23584 | + | 0.845796i | 0.282389 | + | 0.0563864i | ||||
\(226\) | −17.7738 | − | 10.2617i | −1.18230 | − | 0.682600i | ||||
\(227\) | 17.3580 | − | 10.0217i | 1.15209 | − | 0.665160i | 0.202696 | − | 0.979242i | \(-0.435030\pi\) |
0.949396 | + | 0.314081i | \(0.101696\pi\) | |||||||
\(228\) | −0.763143 | + | 0.345438i | −0.0505404 | + | 0.0228772i | ||||
\(229\) | −13.3120 | + | 23.0571i | −0.879683 | + | 1.52365i | −0.0279931 | + | 0.999608i | \(0.508912\pi\) |
−0.851689 | + | 0.524047i | \(0.824422\pi\) | |||||||
\(230\) | 11.9975 | 0.791095 | ||||||||
\(231\) | 10.7639 | + | 5.61043i | 0.708213 | + | 0.369139i | ||||
\(232\) | 6.93400i | 0.455239i | ||||||||
\(233\) | 20.2573 | + | 11.6956i | 1.32710 | + | 0.766203i | 0.984850 | − | 0.173406i | \(-0.0554772\pi\) |
0.342252 | + | 0.939608i | \(0.388810\pi\) | |||||||
\(234\) | −4.05283 | − | 10.0287i | −0.264942 | − | 0.655596i | ||||
\(235\) | −9.76058 | − | 16.9058i | −0.636710 | − | 1.10281i | ||||
\(236\) | 4.98510 | + | 2.87815i | 0.324503 | + | 0.187352i | ||||
\(237\) | −1.28097 | + | 12.9572i | −0.0832082 | + | 0.841658i | ||||
\(238\) | 9.67148 | − | 1.37927i | 0.626909 | − | 0.0894047i | ||||
\(239\) | 10.6771 | 0.690642 | 0.345321 | − | 0.938485i | \(-0.387770\pi\) | ||||
0.345321 | + | 0.938485i | \(0.387770\pi\) | |||||||
\(240\) | −2.56153 | + | 3.57184i | −0.165346 | + | 0.230561i | ||||
\(241\) | −6.08041 | − | 10.5316i | −0.391673 | − | 0.678398i | 0.600997 | − | 0.799251i | \(-0.294770\pi\) |
−0.992670 | + | 0.120853i | \(0.961437\pi\) | |||||||
\(242\) | 1.99194 | + | 3.45014i | 0.128047 | + | 0.221783i | ||||
\(243\) | −8.20744 | − | 13.2528i | −0.526507 | − | 0.850171i | ||||
\(244\) | − | 4.91020i | − | 0.314343i | ||||||
\(245\) | 17.2534 | + | 4.22741i | 1.10228 | + | 0.270080i | ||||
\(246\) | −5.23460 | − | 0.517505i | −0.333746 | − | 0.0329949i | ||||
\(247\) | −0.783598 | + | 1.55780i | −0.0498591 | + | 0.0991204i | ||||
\(248\) | 2.71148 | + | 4.69643i | 0.172179 | + | 0.298223i | ||||
\(249\) | 2.21433 | + | 4.89191i | 0.140327 | + | 0.310012i | ||||
\(250\) | 7.82419 | + | 4.51730i | 0.494845 | + | 0.285699i | ||||
\(251\) | −25.7551 | −1.62565 | −0.812825 | − | 0.582508i | \(-0.802072\pi\) | ||||
−0.812825 | + | 0.582508i | \(0.802072\pi\) | |||||||
\(252\) | −7.92506 | − | 0.439716i | −0.499232 | − | 0.0276995i | ||||
\(253\) | − | 12.5229i | − | 0.787307i | ||||||
\(254\) | 5.35236 | − | 9.27055i | 0.335837 | − | 0.581686i | ||||
\(255\) | −6.69273 | − | 14.7856i | −0.419115 | − | 0.925911i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 8.74076 | − | 15.1394i | 0.545233 | − | 0.944372i | −0.453359 | − | 0.891328i | \(-0.649774\pi\) |
0.998592 | − | 0.0530439i | \(-0.0168923\pi\) | |||||||
\(258\) | −0.870869 | + | 8.80890i | −0.0542179 | + | 0.548418i | ||||
\(259\) | −16.7280 | − | 6.71907i | −1.03943 | − | 0.417503i | ||||
\(260\) | 0.526198 | + | 9.13459i | 0.0326334 | + | 0.566503i | ||||
\(261\) | 15.6297 | + | 13.7272i | 0.967453 | + | 0.849692i | ||||
\(262\) | 3.16842 | + | 5.48787i | 0.195746 | + | 0.339042i | ||||
\(263\) | −17.8986 | + | 10.3338i | −1.10368 | + | 0.637208i | −0.937184 | − | 0.348834i | \(-0.886578\pi\) |
−0.166493 | + | 0.986043i | \(0.553244\pi\) | |||||||
\(264\) | 3.72824 | + | 2.67369i | 0.229457 | + | 0.164554i | ||||
\(265\) | 23.8385 | 1.46439 | ||||||||
\(266\) | 0.789836 | + | 1.00672i | 0.0484280 | + | 0.0617262i | ||||
\(267\) | −4.73684 | − | 0.468295i | −0.289890 | − | 0.0286592i | ||||
\(268\) | −1.38217 | − | 0.797996i | −0.0844295 | − | 0.0487454i | ||||
\(269\) | −0.237662 | − | 0.411643i | −0.0144905 | − | 0.0250983i | 0.858689 | − | 0.512497i | \(-0.171279\pi\) |
−0.873180 | + | 0.487398i | \(0.837946\pi\) | |||||||
\(270\) | 2.98011 | + | 12.8450i | 0.181364 | + | 0.781722i | ||||
\(271\) | 0.772450 | − | 1.33792i | 0.0469230 | − | 0.0812730i | −0.841610 | − | 0.540086i | \(-0.818392\pi\) |
0.888533 | + | 0.458813i | \(0.151725\pi\) | |||||||
\(272\) | 3.69246 | 0.223888 | ||||||||
\(273\) | −13.4065 | + | 9.65741i | −0.811399 | + | 0.584493i | ||||
\(274\) | 17.6827 | 1.06825 | ||||||||
\(275\) | −1.90689 | + | 3.30284i | −0.114990 | + | 0.199169i | ||||
\(276\) | 3.37680 | + | 7.46005i | 0.203260 | + | 0.449043i | ||||
\(277\) | 14.0171 | + | 24.2784i | 0.842209 | + | 1.45875i | 0.888023 | + | 0.459798i | \(0.152078\pi\) |
−0.0458149 | + | 0.998950i | \(0.514588\pi\) | |||||||
\(278\) | 13.9377 | + | 8.04691i | 0.835925 | + | 0.482622i | ||||
\(279\) | 15.9540 | + | 3.18563i | 0.955139 | + | 0.190718i | ||||
\(280\) | 6.23027 | + | 2.50249i | 0.372330 | + | 0.149552i | ||||
\(281\) | 30.3889 | 1.81285 | 0.906426 | − | 0.422365i | \(-0.138800\pi\) | ||||
0.906426 | + | 0.422365i | \(0.138800\pi\) | |||||||
\(282\) | 7.76482 | − | 10.8274i | 0.462388 | − | 0.644762i | ||||
\(283\) | 6.07652 | − | 3.50828i | 0.361212 | − | 0.208546i | −0.308400 | − | 0.951257i | \(-0.599794\pi\) |
0.669612 | + | 0.742711i | \(0.266460\pi\) | |||||||
\(284\) | 6.45138 | + | 11.1741i | 0.382819 | + | 0.663062i | ||||
\(285\) | 1.23885 | − | 1.72747i | 0.0733832 | − | 0.102327i | ||||
\(286\) | 9.53457 | − | 0.549239i | 0.563791 | − | 0.0324772i | ||||
\(287\) | 1.13441 | + | 7.95449i | 0.0669618 | + | 0.469539i | ||||
\(288\) | −2.94193 | − | 0.587433i | −0.173355 | − | 0.0346148i | ||||
\(289\) | 1.68286 | − | 2.91480i | 0.0989918 | − | 0.171459i | ||||
\(290\) | −8.79813 | − | 15.2388i | −0.516644 | − | 0.894854i | ||||
\(291\) | −9.33476 | + | 4.22539i | −0.547213 | + | 0.247697i | ||||
\(292\) | 6.57447 | − | 11.3873i | 0.384742 | − | 0.666393i | ||||
\(293\) | 32.4228i | 1.89416i | 0.321000 | + | 0.947079i | \(0.395981\pi\) | ||||
−0.321000 | + | 0.947079i | \(0.604019\pi\) | |||||||
\(294\) | 2.22751 | + | 11.9180i | 0.129911 | + | 0.695071i | ||||
\(295\) | −14.6076 | −0.850490 | ||||||||
\(296\) | −5.90071 | − | 3.40678i | −0.342972 | − | 0.198015i | ||||
\(297\) | 13.4074 | − | 3.11060i | 0.777979 | − | 0.180495i | ||||
\(298\) | −1.28692 | − | 2.22901i | −0.0745493 | − | 0.129123i | ||||
\(299\) | 15.2282 | + | 7.66001i | 0.880667 | + | 0.442990i | ||||
\(300\) | 0.245351 | − | 2.48174i | 0.0141653 | − | 0.143283i | ||||
\(301\) | 13.3860 | − | 1.90900i | 0.771555 | − | 0.110033i | ||||
\(302\) | − | 4.25062i | − | 0.244595i | ||||||
\(303\) | −19.5136 | − | 13.9941i | −1.12103 | − | 0.803941i | ||||
\(304\) | 0.241819 | + | 0.418842i | 0.0138692 | + | 0.0240222i | ||||
\(305\) | 6.23026 | + | 10.7911i | 0.356743 | + | 0.617898i | ||||
\(306\) | 7.30995 | − | 8.32305i | 0.417882 | − | 0.475797i | ||||
\(307\) | −30.0357 | −1.71423 | −0.857113 | − | 0.515128i | \(-0.827744\pi\) | ||||
−0.857113 | + | 0.515128i | \(0.827744\pi\) | |||||||
\(308\) | 2.61207 | − | 6.50308i | 0.148836 | − | 0.370547i | ||||
\(309\) | −15.7390 | − | 1.55599i | −0.895358 | − | 0.0885172i | ||||
\(310\) | −11.9180 | − | 6.88088i | −0.676898 | − | 0.390808i | ||||
\(311\) | −3.19493 | − | 5.53379i | −0.181168 | − | 0.313792i | 0.761111 | − | 0.648622i | \(-0.224654\pi\) |
−0.942279 | + | 0.334830i | \(0.891321\pi\) | |||||||
\(312\) | −5.53177 | + | 2.89819i | −0.313175 | + | 0.164078i | ||||
\(313\) | 8.58761 | + | 4.95806i | 0.485400 | + | 0.280246i | 0.722664 | − | 0.691199i | \(-0.242917\pi\) |
−0.237264 | + | 0.971445i | \(0.576251\pi\) | |||||||
\(314\) | − | 0.951424i | − | 0.0536920i | ||||||
\(315\) | 17.9748 | − | 9.08928i | 1.01277 | − | 0.512123i | ||||
\(316\) | 7.51729 | 0.422880 | ||||||||
\(317\) | 15.9691 | − | 27.6594i | 0.896916 | − | 1.55350i | 0.0655007 | − | 0.997853i | \(-0.479136\pi\) |
0.831415 | − | 0.555652i | \(-0.187531\pi\) | |||||||
\(318\) | 6.70955 | + | 14.8228i | 0.376253 | + | 0.831219i | ||||
\(319\) | −15.9061 | + | 9.18337i | −0.890569 | + | 0.514170i | ||||
\(320\) | 2.19770 | + | 1.26884i | 0.122855 | + | 0.0709303i | ||||
\(321\) | −13.3960 | − | 1.32436i | −0.747692 | − | 0.0739186i | ||||
\(322\) | 9.84116 | − | 7.72099i | 0.548427 | − | 0.430274i | ||||
\(323\) | −1.78581 | −0.0993652 | ||||||||
\(324\) | −7.14822 | + | 5.46836i | −0.397123 | + | 0.303798i | ||||
\(325\) | −2.84993 | − | 4.33912i | −0.158086 | − | 0.240691i | ||||
\(326\) | −4.74897 | + | 2.74182i | −0.263021 | + | 0.151855i | ||||
\(327\) | 13.7827 | − | 19.2188i | 0.762184 | − | 1.06280i | ||||
\(328\) | 3.03693i | 0.167687i | ||||||||
\(329\) | −18.8860 | − | 7.58585i | −1.04122 | − | 0.418222i | ||||
\(330\) | −11.5860 | − | 1.14542i | −0.637789 | − | 0.0630533i | ||||
\(331\) | 13.1995 | + | 7.62074i | 0.725511 | + | 0.418874i | 0.816778 | − | 0.576953i | \(-0.195758\pi\) |
−0.0912670 | + | 0.995826i | \(0.529092\pi\) | |||||||
\(332\) | 2.68487 | − | 1.55011i | 0.147351 | − | 0.0850732i | ||||
\(333\) | −19.3607 | + | 6.55621i | −1.06096 | + | 0.359278i | ||||
\(334\) | 5.33246 | + | 3.07870i | 0.291779 | + | 0.168459i | ||||
\(335\) | 4.05012 | 0.221282 | ||||||||
\(336\) | 0.197515 | + | 4.57832i | 0.0107753 | + | 0.249768i | ||||
\(337\) | 23.2445 | 1.26621 | 0.633103 | − | 0.774067i | \(-0.281781\pi\) | ||||
0.633103 | + | 0.774067i | \(0.281781\pi\) | |||||||
\(338\) | −5.16422 | + | 11.9302i | −0.280897 | + | 0.648920i | ||||
\(339\) | 14.6589 | + | 32.3845i | 0.796161 | + | 1.75888i | ||||
\(340\) | −8.11491 | + | 4.68514i | −0.440093 | + | 0.254088i | ||||
\(341\) | −7.18217 | + | 12.4399i | −0.388936 | + | 0.673657i | ||||
\(342\) | 1.42282 | + | 0.284104i | 0.0769375 | + | 0.0153626i | ||||
\(343\) | 16.8729 | − | 7.63579i | 0.911051 | − | 0.412294i | ||||
\(344\) | 5.11062 | 0.275546 | ||||||||
\(345\) | −16.8868 | − | 12.1103i | −0.909155 | − | 0.651997i | ||||
\(346\) | 3.45361 | + | 5.98183i | 0.185667 | + | 0.321585i | ||||
\(347\) | 21.2374 | − | 12.2614i | 1.14008 | − | 0.658226i | 0.193631 | − | 0.981074i | \(-0.437974\pi\) |
0.946451 | + | 0.322848i | \(0.104640\pi\) | |||||||
\(348\) | 6.99916 | − | 9.75974i | 0.375194 | − | 0.523177i | ||||
\(349\) | 1.10347 | 0.0590671 | 0.0295336 | − | 0.999564i | \(-0.490598\pi\) | ||||
0.0295336 | + | 0.999564i | \(0.490598\pi\) | |||||||
\(350\) | −3.77125 | + | 0.537825i | −0.201582 | + | 0.0287479i | ||||
\(351\) | −4.41850 | + | 18.2065i | −0.235842 | + | 0.971791i | ||||
\(352\) | 1.32440 | − | 2.29393i | 0.0705907 | − | 0.122267i | ||||
\(353\) | 5.34237 | − | 3.08442i | 0.284346 | − | 0.164167i | −0.351043 | − | 0.936359i | \(-0.614173\pi\) |
0.635389 | + | 0.772192i | \(0.280840\pi\) | |||||||
\(354\) | −4.11144 | − | 9.08301i | −0.218520 | − | 0.482756i | ||||
\(355\) | −28.3563 | − | 16.3715i | −1.50500 | − | 0.868911i | ||||
\(356\) | 2.74815i | 0.145652i | ||||||||
\(357\) | −15.0050 | − | 7.82102i | −0.794151 | − | 0.413933i | ||||
\(358\) | 1.72527i | 0.0911836i | ||||||||
\(359\) | −6.24235 | + | 10.8121i | −0.329459 | + | 0.570639i | −0.982405 | − | 0.186765i | \(-0.940200\pi\) |
0.652946 | + | 0.757405i | \(0.273533\pi\) | |||||||
\(360\) | 7.21081 | − | 2.44183i | 0.380043 | − | 0.128696i | ||||
\(361\) | 9.38305 | + | 16.2519i | 0.493845 | + | 0.855364i | ||||
\(362\) | −19.1077 | − | 11.0319i | −1.00428 | − | 0.579821i | ||||
\(363\) | 0.678868 | − | 6.86680i | 0.0356313 | − | 0.360413i | ||||
\(364\) | 6.31016 | + | 7.15415i | 0.330742 | + | 0.374979i | ||||
\(365\) | 33.3678i | 1.74655i | ||||||||
\(366\) | −4.95635 | + | 6.91121i | −0.259072 | + | 0.361255i | ||||
\(367\) | 20.5085 | − | 11.8406i | 1.07053 | − | 0.618073i | 0.142207 | − | 0.989837i | \(-0.454580\pi\) |
0.928327 | + | 0.371764i | \(0.121247\pi\) | |||||||
\(368\) | 4.09436 | − | 2.36388i | 0.213433 | − | 0.123226i | ||||
\(369\) | 6.84545 | + | 6.01220i | 0.356360 | + | 0.312983i | ||||
\(370\) | 17.2906 | 0.898897 | ||||||||
\(371\) | 19.5539 | − | 15.3412i | 1.01519 | − | 0.796477i | ||||
\(372\) | 0.924094 | − | 9.34729i | 0.0479121 | − | 0.484634i | ||||
\(373\) | 1.11557 | − | 1.93222i | 0.0577619 | − | 0.100046i | −0.835699 | − | 0.549188i | \(-0.814937\pi\) |
0.893460 | + | 0.449142i | \(0.148270\pi\) | |||||||
\(374\) | 4.89029 | + | 8.47023i | 0.252871 | + | 0.437985i | ||||
\(375\) | −6.45296 | − | 14.2559i | −0.333230 | − | 0.736173i | ||||
\(376\) | −6.66192 | − | 3.84626i | −0.343562 | − | 0.198356i | ||||
\(377\) | −1.43779 | − | 24.9595i | −0.0740500 | − | 1.28548i | ||||
\(378\) | 10.7108 | + | 8.61846i | 0.550906 | + | 0.443286i | ||||
\(379\) | − | 7.75732i | − | 0.398467i | −0.979952 | − | 0.199233i | \(-0.936155\pi\) | ||
0.979952 | − | 0.199233i | \(-0.0638452\pi\) | |||||||
\(380\) | −1.06289 | − | 0.613658i | −0.0545250 | − | 0.0314800i | ||||
\(381\) | −16.8912 | + | 7.64584i | −0.865364 | + | 0.391708i | ||||
\(382\) | −22.6677 | + | 13.0872i | −1.15978 | + | 0.669600i | ||||
\(383\) | −7.94443 | − | 4.58672i | −0.405941 | − | 0.234370i | 0.283103 | − | 0.959090i | \(-0.408636\pi\) |
−0.689044 | + | 0.724719i | \(0.741970\pi\) | |||||||
\(384\) | −0.170404 | + | 1.72365i | −0.00869589 | + | 0.0879595i | ||||
\(385\) | 2.51084 | + | 17.6061i | 0.127964 | + | 0.897288i | ||||
\(386\) | 2.13055i | 0.108442i | ||||||||
\(387\) | 10.1175 | − | 11.5197i | 0.514299 | − | 0.585577i | ||||
\(388\) | 2.95792 | + | 5.12327i | 0.150166 | + | 0.260095i | ||||
\(389\) | 29.7827 | − | 17.1950i | 1.51004 | − | 0.871823i | 0.510110 | − | 0.860109i | \(-0.329605\pi\) |
0.999931 | − | 0.0117132i | \(-0.00372851\pi\) | |||||||
\(390\) | 8.47980 | − | 13.3883i | 0.429392 | − | 0.677942i | ||||
\(391\) | 17.4571i | 0.882843i | ||||||||
\(392\) | 6.72094 | − | 1.95677i | 0.339459 | − | 0.0988318i | ||||
\(393\) | 1.07982 | − | 10.9225i | 0.0544699 | − | 0.550967i | ||||
\(394\) | 2.18381 | − | 3.78247i | 0.110019 | − | 0.190558i | ||||
\(395\) | −16.5207 | + | 9.53823i | −0.831247 | + | 0.479921i | ||||
\(396\) | −2.54875 | − | 7.52655i | −0.128080 | − | 0.378223i | ||||
\(397\) | −6.32491 | + | 10.9551i | −0.317438 | + | 0.549819i | −0.979953 | − | 0.199230i | \(-0.936156\pi\) |
0.662515 | + | 0.749049i | \(0.269489\pi\) | |||||||
\(398\) | − | 26.7572i | − | 1.34122i | ||||||
\(399\) | −0.0955256 | − | 2.21424i | −0.00478226 | − | 0.110851i | ||||
\(400\) | −1.43982 | −0.0719909 | ||||||||
\(401\) | −11.1563 | + | 19.3233i | −0.557121 | + | 0.964962i | 0.440614 | + | 0.897697i | \(0.354761\pi\) |
−0.997735 | + | 0.0672652i | \(0.978573\pi\) | |||||||
\(402\) | 1.13994 | + | 2.51836i | 0.0568549 | + | 0.125604i | ||||
\(403\) | −10.7340 | − | 16.3429i | −0.534700 | − | 0.814100i | ||||
\(404\) | −6.93191 | + | 12.0064i | −0.344875 | + | 0.597342i | ||||
\(405\) | 8.77115 | − | 21.0877i | 0.435842 | − | 1.04786i | ||||
\(406\) | −17.0237 | − | 6.83784i | −0.844872 | − | 0.339356i | ||||
\(407\) | − | 18.0477i | − | 0.894593i | ||||||
\(408\) | −5.19722 | − | 3.72716i | −0.257301 | − | 0.184522i | ||||
\(409\) | −15.2106 | − | 26.3456i | −0.752118 | − | 1.30271i | −0.946794 | − | 0.321839i | \(-0.895699\pi\) |
0.194677 | − | 0.980867i | \(-0.437634\pi\) | |||||||
\(410\) | −3.85338 | − | 6.67425i | −0.190305 | − | 0.329618i | ||||
\(411\) | −24.8887 | − | 17.8489i | −1.22767 | − | 0.880419i | ||||
\(412\) | 9.13119i | 0.449861i | ||||||||
\(413\) | −11.9821 | + | 9.40071i | −0.589602 | + | 0.462579i | ||||
\(414\) | 2.77724 | − | 13.9087i | 0.136494 | − | 0.683577i | ||||
\(415\) | −3.93368 | + | 6.81333i | −0.193097 | + | 0.334453i | ||||
\(416\) | 1.97937 | + | 3.01365i | 0.0970464 | + | 0.147757i | ||||
\(417\) | −11.4950 | − | 25.3948i | −0.562913 | − | 1.24359i | ||||
\(418\) | −0.640528 | + | 1.10943i | −0.0313293 | + | 0.0542639i | ||||
\(419\) | −22.9563 | −1.12149 | −0.560744 | − | 0.827989i | \(-0.689485\pi\) | ||||
−0.560744 | + | 0.827989i | \(0.689485\pi\) | |||||||
\(420\) | −6.24323 | − | 9.81113i | −0.304638 | − | 0.478734i | ||||
\(421\) | − | 11.7102i | − | 0.570721i | −0.958420 | − | 0.285360i | \(-0.907887\pi\) | ||
0.958420 | − | 0.285360i | \(-0.0921133\pi\) | |||||||
\(422\) | 8.66575 | − | 15.0095i | 0.421842 | − | 0.730652i | ||||
\(423\) | −21.8583 | + | 7.40199i | −1.06279 | + | 0.359897i | ||||
\(424\) | 8.13530 | − | 4.69692i | 0.395085 | − | 0.228102i | ||||
\(425\) | 2.65824 | − | 4.60420i | 0.128944 | − | 0.223337i | ||||
\(426\) | 2.19868 | − | 22.2398i | 0.106526 | − | 1.07752i | ||||
\(427\) | 12.0551 | + | 4.84211i | 0.583385 | + | 0.234326i | ||||
\(428\) | 7.77189i | 0.375668i | ||||||||
\(429\) | −13.9745 | − | 8.85111i | −0.674695 | − | 0.427336i | ||||
\(430\) | −11.2316 | + | 6.48455i | −0.541635 | + | 0.312713i | ||||
\(431\) | 9.15519 | + | 15.8573i | 0.440990 | + | 0.763817i | 0.997763 | − | 0.0668476i | \(-0.0212941\pi\) |
−0.556773 | + | 0.830664i | \(0.687961\pi\) | |||||||
\(432\) | 3.54787 | + | 3.79640i | 0.170697 | + | 0.182654i | ||||
\(433\) | − | 21.1787i | − | 1.01778i | −0.860831 | − | 0.508891i | \(-0.830056\pi\) | ||
0.860831 | − | 0.508891i | \(-0.169944\pi\) | |||||||
\(434\) | −14.2041 | + | 2.02568i | −0.681819 | + | 0.0972355i | ||||
\(435\) | −2.99847 | + | 30.3298i | −0.143766 | + | 1.45420i | ||||
\(436\) | −11.8250 | − | 6.82718i | −0.566316 | − | 0.326963i | ||||
\(437\) | −1.98019 | + | 1.14326i | −0.0947251 | + | 0.0546896i | ||||
\(438\) | −20.7481 | + | 9.39164i | −0.991380 | + | 0.448750i | ||||
\(439\) | −7.13298 | − | 4.11823i | −0.340439 | − | 0.196552i | 0.320027 | − | 0.947408i | \(-0.396308\pi\) |
−0.660466 | + | 0.750856i | \(0.729641\pi\) | |||||||
\(440\) | 6.72180i | 0.320449i | ||||||||
\(441\) | 8.89472 | − | 19.0232i | 0.423558 | − | 0.905869i | ||||
\(442\) | −13.2913 | + | 0.765647i | −0.632204 | + | 0.0364181i | ||||
\(443\) | 7.54716 | + | 4.35736i | 0.358577 | + | 0.207024i | 0.668456 | − | 0.743752i | \(-0.266955\pi\) |
−0.309880 | + | 0.950776i | \(0.600289\pi\) | |||||||
\(444\) | 4.86658 | + | 10.7513i | 0.230958 | + | 0.510233i | ||||
\(445\) | −3.48696 | − | 6.03960i | −0.165298 | − | 0.286304i | ||||
\(446\) | 2.17749 | − | 3.77151i | 0.103107 | − | 0.178586i | ||||
\(447\) | −0.438593 | + | 4.43640i | −0.0207447 | + | 0.209834i | ||||
\(448\) | 2.61925 | − | 0.373536i | 0.123748 | − | 0.0176479i | ||||
\(449\) | −22.6845 | −1.07055 | −0.535274 | − | 0.844679i | \(-0.679792\pi\) | ||||
−0.535274 | + | 0.844679i | \(0.679792\pi\) | |||||||
\(450\) | −2.85040 | + | 3.24545i | −0.134369 | + | 0.152992i | ||||
\(451\) | −6.96650 | + | 4.02211i | −0.328040 | + | 0.189394i | ||||
\(452\) | 17.7738 | − | 10.2617i | 0.836011 | − | 0.482671i | ||||
\(453\) | −4.29056 | + | 5.98283i | −0.201588 | + | 0.281098i | ||||
\(454\) | 20.0433i | 0.940679i | ||||||||
\(455\) | −22.9453 | − | 7.71605i | −1.07569 | − | 0.361734i | ||||
\(456\) | 0.0824136 | − | 0.833620i | 0.00385937 | − | 0.0390378i | ||||
\(457\) | 11.5835 | + | 6.68771i | 0.541851 | + | 0.312838i | 0.745829 | − | 0.666138i | \(-0.232054\pi\) |
−0.203978 | + | 0.978976i | \(0.565387\pi\) | |||||||
\(458\) | −13.3120 | − | 23.0571i | −0.622029 | − | 1.07739i | ||||
\(459\) | −18.6902 | + | 4.33623i | −0.872383 | + | 0.202398i | ||||
\(460\) | −5.99877 | + | 10.3902i | −0.279694 | + | 0.484445i | ||||
\(461\) | − | 0.777510i | − | 0.0362123i | −0.999836 | − | 0.0181061i | \(-0.994236\pi\) | ||
0.999836 | − | 0.0181061i | \(-0.00576367\pi\) | |||||||
\(462\) | −10.2407 | + | 6.51660i | −0.476442 | + | 0.303180i | ||||
\(463\) | − | 3.19686i | − | 0.148571i | −0.997237 | − | 0.0742854i | \(-0.976332\pi\) | ||
0.997237 | − | 0.0742854i | \(-0.0236676\pi\) | |||||||
\(464\) | −6.00502 | − | 3.46700i | −0.278776 | − | 0.160951i | ||||
\(465\) | 9.82933 | + | 21.7150i | 0.455824 | + | 1.00701i | ||||
\(466\) | −20.2573 | + | 11.6956i | −0.938403 | + | 0.541787i | ||||
\(467\) | 0.719079 | − | 1.24548i | 0.0332750 | − | 0.0576340i | −0.848908 | − | 0.528540i | \(-0.822740\pi\) |
0.882183 | + | 0.470906i | \(0.156073\pi\) | |||||||
\(468\) | 10.7115 | + | 1.50449i | 0.495140 | + | 0.0695452i | ||||
\(469\) | 3.32217 | − | 2.60644i | 0.153404 | − | 0.120354i | ||||
\(470\) | 19.5212 | 0.900444 | ||||||||
\(471\) | −0.960365 | + | 1.33915i | −0.0442513 | + | 0.0617047i | ||||
\(472\) | −4.98510 | + | 2.87815i | −0.229458 | + | 0.132478i | ||||
\(473\) | 6.76849 | + | 11.7234i | 0.311216 | + | 0.539041i | ||||
\(474\) | −10.5807 | − | 7.58793i | −0.485989 | − | 0.348525i | ||||
\(475\) | 0.696350 | 0.0319507 | ||||||||
\(476\) | −3.64126 | + | 9.06538i | −0.166897 | + | 0.415511i | ||||
\(477\) | 5.51824 | − | 27.6360i | 0.252663 | − | 1.26536i | ||||
\(478\) | −5.33853 | + | 9.24661i | −0.244179 | + | 0.422930i | ||||
\(479\) | 9.04541 | − | 5.22237i | 0.413295 | − | 0.238616i | −0.278909 | − | 0.960317i | \(-0.589973\pi\) |
0.692205 | + | 0.721701i | \(0.256640\pi\) | |||||||
\(480\) | −1.81254 | − | 4.00427i | −0.0827306 | − | 0.182769i | ||||
\(481\) | 21.9465 | + | 11.0394i | 1.00068 | + | 0.503355i | ||||
\(482\) | 12.1608 | 0.553910 | ||||||||
\(483\) | −21.6452 | + | 0.933804i | −0.984891 | + | 0.0424896i | ||||
\(484\) | −3.98387 | −0.181085 | ||||||||
\(485\) | −13.0012 | − | 7.50626i | −0.590355 | − | 0.340842i | ||||
\(486\) | 15.5810 | − | 0.481423i | 0.706769 | − | 0.0218378i | ||||
\(487\) | −2.08097 | + | 1.20145i | −0.0942979 | + | 0.0544429i | −0.546407 | − | 0.837520i | \(-0.684005\pi\) |
0.452109 | + | 0.891962i | \(0.350672\pi\) | |||||||
\(488\) | 4.25236 | + | 2.45510i | 0.192495 | + | 0.111137i | ||||
\(489\) | 9.45187 | + | 0.934434i | 0.427428 | + | 0.0422565i | ||||
\(490\) | −12.2878 | + | 12.8282i | −0.555104 | + | 0.579518i | ||||
\(491\) | 12.3575i | 0.557686i | 0.960337 | + | 0.278843i | \(0.0899509\pi\) | ||||
−0.960337 | + | 0.278843i | \(0.910049\pi\) | |||||||
\(492\) | 3.06547 | − | 4.27455i | 0.138202 | − | 0.192711i | ||||
\(493\) | 22.1733 | − | 12.8018i | 0.998635 | − | 0.576562i | ||||
\(494\) | −0.957295 | − | 1.45752i | −0.0430707 | − | 0.0655767i | ||||
\(495\) | 15.1514 | + | 13.3071i | 0.681004 | + | 0.598110i | ||||
\(496\) | −5.42297 | −0.243498 | ||||||||
\(497\) | −33.7956 | + | 4.81965i | −1.51594 | + | 0.216191i | ||||
\(498\) | −5.34368 | − | 0.528289i | −0.239456 | − | 0.0236732i | ||||
\(499\) | 14.9074 | + | 8.60680i | 0.667348 | + | 0.385293i | 0.795071 | − | 0.606516i | \(-0.207434\pi\) |
−0.127723 | + | 0.991810i | \(0.540767\pi\) | |||||||
\(500\) | −7.82419 | + | 4.51730i | −0.349909 | + | 0.202020i | ||||
\(501\) | −4.39792 | − | 9.71591i | −0.196485 | − | 0.434075i | ||||
\(502\) | 12.8776 | − | 22.3046i | 0.574754 | − | 0.995503i | ||||
\(503\) | 31.1852 | 1.39048 | 0.695240 | − | 0.718778i | \(-0.255298\pi\) | ||||
0.695240 | + | 0.718778i | \(0.255298\pi\) | |||||||
\(504\) | 4.34334 | − | 6.64345i | 0.193468 | − | 0.295923i | ||||
\(505\) | − | 35.1819i | − | 1.56558i | ||||||
\(506\) | 10.8451 | + | 6.26144i | 0.482125 | + | 0.278355i | ||||
\(507\) | 19.3111 | − | 11.5793i | 0.857637 | − | 0.514256i | ||||
\(508\) | 5.35236 | + | 9.27055i | 0.237472 | + | 0.411314i | ||||
\(509\) | 4.87130 | + | 2.81245i | 0.215917 | + | 0.124660i | 0.604058 | − | 0.796940i | \(-0.293549\pi\) |
−0.388141 | + | 0.921600i | \(0.626883\pi\) | |||||||
\(510\) | 16.1511 | + | 1.59673i | 0.715182 | + | 0.0707045i | ||||
\(511\) | 21.4738 | + | 27.3704i | 0.949944 | + | 1.21080i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −1.71588 | − | 1.83608i | −0.0757580 | − | 0.0810649i | ||||
\(514\) | 8.74076 | + | 15.1394i | 0.385538 | + | 0.667772i | ||||
\(515\) | −11.5860 | − | 20.0676i | −0.510541 | − | 0.884283i | ||||
\(516\) | −7.19330 | − | 5.15865i | −0.316667 | − | 0.227097i | ||||
\(517\) | − | 20.3759i | − | 0.896133i | ||||||
\(518\) | 14.1829 | − | 11.1273i | 0.623160 | − | 0.488907i | ||||
\(519\) | 1.17702 | − | 11.9056i | 0.0516654 | − | 0.522599i | ||||
\(520\) | −8.17389 | − | 4.11159i | −0.358449 | − | 0.180305i | ||||
\(521\) | −1.86664 | − | 3.23312i | −0.0817791 | − | 0.141646i | 0.822235 | − | 0.569148i | \(-0.192727\pi\) |
−0.904014 | + | 0.427502i | \(0.859394\pi\) | |||||||
\(522\) | −19.7029 | + | 6.67211i | −0.862374 | + | 0.292030i | ||||
\(523\) | 20.8918 | + | 12.0619i | 0.913533 | + | 0.527428i | 0.881566 | − | 0.472061i | \(-0.156490\pi\) |
0.0319666 | + | 0.999489i | \(0.489823\pi\) | |||||||
\(524\) | −6.33685 | −0.276826 | ||||||||
\(525\) | 5.85099 | + | 3.04969i | 0.255358 | + | 0.133099i | ||||
\(526\) | − | 20.6676i | − | 0.901149i | ||||||
\(527\) | 10.0120 | − | 17.3414i | 0.436132 | − | 0.755402i | ||||
\(528\) | −4.17960 | + | 1.89190i | −0.181894 | + | 0.0823345i | ||||
\(529\) | −0.324129 | − | 0.561408i | −0.0140926 | − | 0.0244090i | ||||
\(530\) | −11.9193 | + | 20.6448i | −0.517740 | + | 0.896752i | ||||
\(531\) | −3.38144 | + | 16.9346i | −0.146742 | + | 0.734899i | ||||
\(532\) | −1.26677 | + | 0.180656i | −0.0549213 | + | 0.00783244i | ||||
\(533\) | −0.629720 | − | 10.9317i | −0.0272762 | − | 0.473504i | ||||
\(534\) | 2.77398 | − | 3.86808i | 0.120042 | − | 0.167388i | ||||
\(535\) | −9.86128 | − | 17.0802i | −0.426340 | − | 0.738443i | ||||
\(536\) | 1.38217 | − | 0.797996i | 0.0597007 | − | 0.0344682i | ||||
\(537\) | 1.74149 | − | 2.42836i | 0.0751508 | − | 0.104791i | ||||
\(538\) | 0.475324 | 0.0204927 | ||||||||
\(539\) | 13.3899 | + | 12.8258i | 0.576743 | + | 0.552446i | ||||
\(540\) | −12.6142 | − | 3.84165i | −0.542827 | − | 0.165318i | ||||
\(541\) | 29.5203 | + | 17.0435i | 1.26917 | + | 0.732759i | 0.974832 | − | 0.222941i | \(-0.0715658\pi\) |
0.294343 | + | 0.955700i | \(0.404899\pi\) | |||||||
\(542\) | 0.772450 | + | 1.33792i | 0.0331796 | + | 0.0574687i | ||||
\(543\) | 15.7590 | + | 34.8149i | 0.676283 | + | 1.49405i | ||||
\(544\) | −1.84623 | + | 3.19777i | −0.0791565 | + | 0.137103i | ||||
\(545\) | 34.6504 | 1.48426 | ||||||||
\(546\) | −1.66030 | − | 16.4391i | −0.0710545 | − | 0.703528i | ||||
\(547\) | 16.3522 | 0.699170 | 0.349585 | − | 0.936905i | \(-0.386323\pi\) | ||||
0.349585 | + | 0.936905i | \(0.386323\pi\) | |||||||
\(548\) | −8.84134 | + | 15.3136i | −0.377683 | + | 0.654167i | ||||
\(549\) | 13.9523 | − | 4.72475i | 0.595471 | − | 0.201647i | ||||
\(550\) | −1.90689 | − | 3.30284i | −0.0813102 | − | 0.140833i | ||||
\(551\) | 2.90425 | + | 1.67677i | 0.123725 | + | 0.0714328i | ||||
\(552\) | −8.14900 | − | 0.805629i | −0.346844 | − | 0.0342898i | ||||
\(553\) | −7.41304 | + | 18.4557i | −0.315235 | + | 0.784817i | ||||
\(554\) | −28.0343 | −1.19106 | ||||||||
\(555\) | −24.3369 | − | 17.4531i | −1.03304 | − | 0.740844i | ||||
\(556\) | −13.9377 | + | 8.04691i | −0.591088 | + | 0.341265i | ||||
\(557\) | −9.83768 | − | 17.0394i | −0.416836 | − | 0.721981i | 0.578784 | − | 0.815481i | \(-0.303528\pi\) |
−0.995619 | + | 0.0935006i | \(0.970194\pi\) | |||||||
\(558\) | −10.7358 | + | 12.2237i | −0.454483 | + | 0.517471i | ||||
\(559\) | −18.3961 | + | 1.05971i | −0.778072 | + | 0.0448208i | ||||
\(560\) | −5.28236 | + | 4.14433i | −0.223220 | + | 0.175130i | ||||
\(561\) | 1.66665 | − | 16.8583i | 0.0703660 | − | 0.711757i | ||||
\(562\) | −15.1945 | + | 26.3176i | −0.640940 | + | 1.11014i | ||||
\(563\) | −7.14030 | − | 12.3674i | −0.300928 | − | 0.521222i | 0.675419 | − | 0.737435i | \(-0.263963\pi\) |
−0.976346 | + | 0.216212i | \(0.930630\pi\) | |||||||
\(564\) | 5.49439 | + | 12.1382i | 0.231355 | + | 0.511112i | ||||
\(565\) | −26.0410 | + | 45.1043i | −1.09555 | + | 1.89755i | ||||
\(566\) | 7.01656i | 0.294928i | ||||||||
\(567\) | −6.37629 | − | 22.9422i | −0.267779 | − | 0.963480i | ||||
\(568\) | −12.9028 | −0.541388 | ||||||||
\(569\) | 14.4405 | + | 8.33720i | 0.605376 | + | 0.349514i | 0.771153 | − | 0.636649i | \(-0.219680\pi\) |
−0.165778 | + | 0.986163i | \(0.553013\pi\) | |||||||
\(570\) | 0.876611 | + | 1.93661i | 0.0367172 | + | 0.0811158i | ||||
\(571\) | −0.208287 | − | 0.360764i | −0.00871655 | − | 0.0150975i | 0.861634 | − | 0.507530i | \(-0.169441\pi\) |
−0.870351 | + | 0.492432i | \(0.836108\pi\) | |||||||
\(572\) | −4.29163 | + | 8.53180i | −0.179442 | + | 0.356732i | ||||
\(573\) | 45.1155 | + | 4.46022i | 1.88473 | + | 0.186328i | ||||
\(574\) | −7.45599 | − | 2.99482i | −0.311207 | − | 0.125001i | ||||
\(575\) | − | 6.80712i | − | 0.283877i | ||||||
\(576\) | 1.97969 | − | 2.25407i | 0.0824873 | − | 0.0939194i | ||||
\(577\) | 1.18972 | + | 2.06066i | 0.0495287 | + | 0.0857863i | 0.889727 | − | 0.456493i | \(-0.150895\pi\) |
−0.840198 | + | 0.542279i | \(0.817561\pi\) | |||||||
\(578\) | 1.68286 | + | 2.91480i | 0.0699978 | + | 0.121240i | ||||
\(579\) | 2.15057 | − | 2.99879i | 0.0893747 | − | 0.124625i | ||||
\(580\) | 17.5963 | 0.730645 | ||||||||
\(581\) | 1.15804 | + | 8.12024i | 0.0480437 | + | 0.336884i | ||||
\(582\) | 1.00808 | − | 10.1968i | 0.0417864 | − | 0.422672i | ||||
\(583\) | 21.5488 | + | 12.4412i | 0.892458 | + | 0.515261i | ||||
\(584\) | 6.57447 | + | 11.3873i | 0.272054 | + | 0.471211i | ||||
\(585\) | −25.4496 | + | 10.2848i | −1.05221 | + | 0.425223i | ||||
\(586\) | −28.0789 | − | 16.2114i | −1.15993 | − | 0.669686i | ||||
\(587\) | − | 28.1076i | − | 1.16013i | −0.814572 | − | 0.580063i | \(-0.803028\pi\) | ||
0.814572 | − | 0.580063i | \(-0.196972\pi\) | |||||||
\(588\) | −11.4350 | − | 4.02991i | −0.471573 | − | 0.166191i | ||||
\(589\) | 2.62275 | 0.108068 | ||||||||
\(590\) | 7.30382 | − | 12.6506i | 0.300694 | − | 0.520817i | ||||
\(591\) | −6.89177 | + | 3.11957i | −0.283489 | + | 0.128322i | ||||
\(592\) | 5.90071 | − | 3.40678i | 0.242518 | − | 0.140018i | ||||
\(593\) | −16.2280 | − | 9.36924i | −0.666404 | − | 0.384749i | 0.128309 | − | 0.991734i | \(-0.459045\pi\) |
−0.794713 | + | 0.606986i | \(0.792379\pi\) | |||||||
\(594\) | −4.00986 | + | 13.1665i | −0.164527 | + | 0.540228i | ||||
\(595\) | −3.50014 | − | 24.5431i | −0.143492 | − | 1.00617i | ||||
\(596\) | 2.57384 | 0.105429 | ||||||||
\(597\) | −27.0086 | + | 37.6613i | −1.10539 | + | 1.54137i | ||||
\(598\) | −14.2478 | + | 9.35797i | −0.582638 | + | 0.382676i | ||||
\(599\) | 0.243067 | − | 0.140335i | 0.00993147 | − | 0.00573394i | −0.495026 | − | 0.868878i | \(-0.664841\pi\) |
0.504958 | + | 0.863144i | \(0.331508\pi\) | |||||||
\(600\) | 2.02658 | + | 1.45335i | 0.0827346 | + | 0.0593328i | ||||
\(601\) | 7.38730i | 0.301334i | 0.988585 | + | 0.150667i | \(0.0481421\pi\) | ||||
−0.988585 | + | 0.150667i | \(0.951858\pi\) | |||||||
\(602\) | −5.03975 | + | 12.5471i | −0.205405 | + | 0.511382i | ||||
\(603\) | 0.937538 | − | 4.69529i | 0.0381795 | − | 0.191207i | ||||
\(604\) | 3.68114 | + | 2.12531i | 0.149784 | + | 0.0864776i | ||||
\(605\) | 8.75534 | − | 5.05490i | 0.355955 | − | 0.205511i | ||||
\(606\) | 21.8761 | − | 9.90223i | 0.888655 | − | 0.402251i | ||||
\(607\) | 22.6313 | + | 13.0662i | 0.918577 | + | 0.530341i | 0.883181 | − | 0.469033i | \(-0.155397\pi\) |
0.0353963 | + | 0.999373i | \(0.488731\pi\) | |||||||
\(608\) | −0.483637 | −0.0196141 | ||||||||
\(609\) | 17.0591 | + | 26.8081i | 0.691269 | + | 1.08632i | ||||
\(610\) | −12.4605 | −0.504511 | ||||||||
\(611\) | 24.7777 | + | 12.4636i | 1.00240 | + | 0.504222i | ||||
\(612\) | 3.55300 | + | 10.4921i | 0.143622 | + | 0.424119i | ||||
\(613\) | 15.4716 | − | 8.93253i | 0.624892 | − | 0.360781i | −0.153879 | − | 0.988090i | \(-0.549177\pi\) |
0.778771 | + | 0.627308i | \(0.215843\pi\) | |||||||
\(614\) | 15.0178 | − | 26.0117i | 0.606071 | − | 1.04974i | ||||
\(615\) | −1.31326 | + | 13.2837i | −0.0529558 | + | 0.535652i | ||||
\(616\) | 4.32580 | + | 5.51365i | 0.174291 | + | 0.222151i | ||||
\(617\) | −29.5144 | −1.18821 | −0.594103 | − | 0.804389i | \(-0.702493\pi\) | ||||
−0.594103 | + | 0.804389i | \(0.702493\pi\) | |||||||
\(618\) | 9.21700 | − | 12.8523i | 0.370762 | − | 0.516997i | ||||
\(619\) | −16.8277 | − | 29.1465i | −0.676363 | − | 1.17149i | −0.976069 | − | 0.217463i | \(-0.930222\pi\) |
0.299706 | − | 0.954032i | \(-0.403112\pi\) | |||||||
\(620\) | 11.9180 | − | 6.88088i | 0.478640 | − | 0.276343i | ||||
\(621\) | −17.9485 | + | 16.7735i | −0.720247 | + | 0.673097i | ||||
\(622\) | 6.38987 | 0.256210 | ||||||||
\(623\) | −6.74700 | − | 2.71004i | −0.270313 | − | 0.108576i | ||||
\(624\) | 0.255978 | − | 6.23975i | 0.0102473 | − | 0.249790i | ||||
\(625\) | 15.0630 | − | 26.0899i | 0.602520 | − | 1.04360i | ||||
\(626\) | −8.58761 | + | 4.95806i | −0.343230 | + | 0.198164i | ||||
\(627\) | 2.02141 | − | 0.914995i | 0.0807274 | − | 0.0365414i | ||||
\(628\) | 0.823957 | + | 0.475712i | 0.0328795 | + | 0.0189830i | ||||
\(629\) | 25.1588i | 1.00315i | ||||||||
\(630\) | −1.11586 | + | 20.1113i | −0.0444569 | + | 0.801252i | ||||
\(631\) | 41.0344i | 1.63356i | 0.576953 | + | 0.816778i | \(0.304242\pi\) | ||||
−0.576953 | + | 0.816778i | \(0.695758\pi\) | |||||||
\(632\) | −3.75864 | + | 6.51016i | −0.149511 | + | 0.258960i | ||||
\(633\) | −27.3478 | + | 12.3790i | −1.08698 | + | 0.492022i | ||||
\(634\) | 15.9691 | + | 27.6594i | 0.634215 | + | 1.09849i | ||||
\(635\) | −23.5257 | − | 13.5826i | −0.933589 | − | 0.539008i | ||||
\(636\) | −16.1917 | − | 1.60075i | −0.642041 | − | 0.0634737i | ||||
\(637\) | −23.7868 | + | 8.43717i | −0.942469 | + | 0.334293i | ||||
\(638\) | − | 18.3667i | − | 0.727146i | ||||||
\(639\) | −25.5435 | + | 29.0837i | −1.01049 | + | 1.15053i | ||||
\(640\) | −2.19770 | + | 1.26884i | −0.0868715 | + | 0.0501553i | ||||
\(641\) | 10.8867 | − | 6.28542i | 0.429998 | − | 0.248259i | −0.269348 | − | 0.963043i | \(-0.586808\pi\) |
0.699346 | + | 0.714784i | \(0.253475\pi\) | |||||||
\(642\) | 7.84493 | − | 10.9391i | 0.309615 | − | 0.431732i | ||||
\(643\) | −44.1388 | −1.74067 | −0.870333 | − | 0.492464i | \(-0.836096\pi\) | ||||
−0.870333 | + | 0.492464i | \(0.836096\pi\) | |||||||
\(644\) | 1.76599 | + | 12.3832i | 0.0695898 | + | 0.487966i | ||||
\(645\) | 22.3542 | + | 2.20999i | 0.880195 | + | 0.0870181i | ||||
\(646\) | 0.892906 | − | 1.54656i | 0.0351309 | − | 0.0608485i | ||||
\(647\) | −6.42771 | − | 11.1331i | −0.252699 | − | 0.437688i | 0.711569 | − | 0.702616i | \(-0.247985\pi\) |
−0.964268 | + | 0.264928i | \(0.914652\pi\) | |||||||
\(648\) | −1.16162 | − | 8.92472i | −0.0456329 | − | 0.350596i | ||||
\(649\) | −13.2045 | − | 7.62364i | −0.518323 | − | 0.299254i | ||||
\(650\) | 5.18275 | − | 0.298552i | 0.203284 | − | 0.0117102i | ||||
\(651\) | 22.0373 | + | 11.4864i | 0.863709 | + | 0.450188i | ||||
\(652\) | − | 5.48364i | − | 0.214756i | ||||||
\(653\) | −38.8978 | − | 22.4576i | −1.52219 | − | 0.878835i | −0.999656 | − | 0.0262147i | \(-0.991655\pi\) |
−0.522531 | − | 0.852620i | \(-0.675012\pi\) | |||||||
\(654\) | 9.75263 | + | 21.5456i | 0.381358 | + | 0.842498i | ||||
\(655\) | 13.9265 | − | 8.04045i | 0.544152 | − | 0.314166i | ||||
\(656\) | −2.63006 | − | 1.51847i | −0.102687 | − | 0.0592862i | ||||
\(657\) | 38.6832 | + | 7.72412i | 1.50918 | + | 0.301347i | ||||
\(658\) | 16.0125 | − | 12.5628i | 0.624233 | − | 0.489749i | ||||
\(659\) | − | 4.26760i | − | 0.166242i | −0.996539 | − | 0.0831210i | \(-0.973511\pi\) | ||
0.996539 | − | 0.0831210i | \(-0.0264888\pi\) | |||||||
\(660\) | 6.78497 | − | 9.46107i | 0.264105 | − | 0.368272i | ||||
\(661\) | −6.63233 | − | 11.4875i | −0.257968 | − | 0.446814i | 0.707729 | − | 0.706484i | \(-0.249720\pi\) |
−0.965697 | + | 0.259670i | \(0.916386\pi\) | |||||||
\(662\) | −13.1995 | + | 7.62074i | −0.513013 | + | 0.296188i | ||||
\(663\) | 19.4807 | + | 12.3386i | 0.756566 | + | 0.479191i | ||||
\(664\) | 3.10022i | 0.120312i | ||||||||
\(665\) | 2.55474 | − | 2.00435i | 0.0990687 | − | 0.0777254i | ||||
\(666\) | 4.00250 | − | 20.0450i | 0.155094 | − | 0.776727i | ||||
\(667\) | 16.3911 | − | 28.3903i | 0.634668 | − | 1.09928i | ||||
\(668\) | −5.33246 | + | 3.07870i | −0.206319 | + | 0.119118i | ||||
\(669\) | −6.87182 | + | 3.11054i | −0.265680 | + | 0.120260i | ||||
\(670\) | −2.02506 | + | 3.50751i | −0.0782349 | + | 0.135507i | ||||
\(671\) | 13.0061i | 0.502096i | ||||||||
\(672\) | −4.06370 | − | 2.11811i | −0.156760 | − | 0.0817077i | ||||
\(673\) | 5.86953 | 0.226254 | 0.113127 | − | 0.993581i | \(-0.463913\pi\) | ||||
0.113127 | + | 0.993581i | \(0.463913\pi\) | |||||||
\(674\) | −11.6222 | + | 20.1303i | −0.447672 | + | 0.775390i | ||||
\(675\) | 7.28795 | − | 1.69084i | 0.280513 | − | 0.0650806i | ||||
\(676\) | −7.74979 | − | 10.4375i | −0.298069 | − | 0.401441i | ||||
\(677\) | −18.4065 | + | 31.8810i | −0.707419 | + | 1.22529i | 0.258393 | + | 0.966040i | \(0.416807\pi\) |
−0.965811 | + | 0.259245i | \(0.916526\pi\) | |||||||
\(678\) | −35.3752 | − | 3.49728i | −1.35858 | − | 0.134312i | ||||
\(679\) | −15.4951 | + | 2.20978i | −0.594646 | + | 0.0848037i | ||||
\(680\) | − | 9.37029i | − | 0.359334i | ||||||
\(681\) | 20.2317 | − | 28.2114i | 0.775279 | − | 1.08106i | ||||
\(682\) | −7.18217 | − | 12.4399i | −0.275019 | − | 0.476348i | ||||
\(683\) | −5.49782 | − | 9.52250i | −0.210368 | − | 0.364368i | 0.741462 | − | 0.670995i | \(-0.234133\pi\) |
−0.951830 | + | 0.306627i | \(0.900800\pi\) | |||||||
\(684\) | −0.957454 | + | 1.09015i | −0.0366092 | + | 0.0416829i | ||||
\(685\) | − | 44.8730i | − | 1.71451i | ||||||
\(686\) | −1.82366 | + | 18.4303i | −0.0696278 | + | 0.703670i | ||||
\(687\) | −4.53684 | + | 45.8904i | −0.173091 | + | 1.75083i | ||||
\(688\) | −2.55531 | + | 4.42592i | −0.0974202 | + | 0.168737i | ||||
\(689\) | −28.3098 | + | 18.5938i | −1.07852 | + | 0.708369i | ||||
\(690\) | 18.9312 | − | 8.56925i | 0.720700 | − | 0.326226i | ||||
\(691\) | 17.4124 | − | 30.1592i | 0.662400 | − | 1.14731i | −0.317583 | − | 0.948231i | \(-0.602871\pi\) |
0.979983 | − | 0.199081i | \(-0.0637956\pi\) | |||||||
\(692\) | −6.90723 | −0.262573 | ||||||||
\(693\) | 20.9919 | + | 1.16472i | 0.797416 | + | 0.0442440i | ||||
\(694\) | 24.5228i | 0.930873i | ||||||||
\(695\) | 20.4205 | − | 35.3693i | 0.774593 | − | 1.34163i | ||||
\(696\) | 4.95261 | + | 10.9413i | 0.187728 | + | 0.414730i | ||||
\(697\) | 9.71140 | − | 5.60688i | 0.367846 | − | 0.212376i | ||||
\(698\) | −0.551733 | + | 0.955629i | −0.0208834 | + | 0.0361711i | ||||
\(699\) | 40.3181 | + | 3.98594i | 1.52497 | + | 0.150762i | ||||
\(700\) | 1.41985 | − | 3.53491i | 0.0536654 | − | 0.133607i | ||||
\(701\) | − | 32.7821i | − | 1.23816i | −0.785327 | − | 0.619081i | \(-0.787505\pi\) | ||
0.785327 | − | 0.619081i | \(-0.212495\pi\) | |||||||
\(702\) | −13.5580 | − | 12.9298i | −0.511716 | − | 0.488003i | ||||
\(703\) | −2.85380 | + | 1.64764i | −0.107633 | + | 0.0621421i | ||||
\(704\) | 1.32440 | + | 2.29393i | 0.0499151 | + | 0.0864556i | ||||
\(705\) | −27.4764 | − | 19.7046i | −1.03482 | − | 0.742119i | ||||
\(706\) | 6.16884i | 0.232167i | ||||||||
\(707\) | −22.6412 | − | 28.8585i | −0.851512 | − | 1.08534i | ||||
\(708\) | 9.92184 | + | 0.980896i | 0.372885 | + | 0.0368643i | ||||
\(709\) | 30.7026 | + | 17.7261i | 1.15306 | + | 0.665719i | 0.949631 | − | 0.313371i | \(-0.101458\pi\) |
0.203428 | + | 0.979090i | \(0.434792\pi\) | |||||||
\(710\) | 28.3563 | − | 16.3715i | 1.06419 | − | 0.614413i | ||||
\(711\) | 7.23337 | + | 21.3604i | 0.271272 | + | 0.801076i | ||||
\(712\) | −2.37997 | − | 1.37408i | −0.0891931 | − | 0.0514956i | ||||
\(713\) | − | 25.6385i | − | 0.960169i | ||||||
\(714\) | 14.2757 | − | 9.08424i | 0.534256 | − | 0.339969i | ||||
\(715\) | −1.39379 | − | 24.1957i | −0.0521249 | − | 0.904867i | ||||
\(716\) | −1.49413 | − | 0.862637i | −0.0558383 | − | 0.0322383i | ||||
\(717\) | 16.8476 | − | 7.62609i | 0.629185 | − | 0.284802i | ||||
\(718\) | −6.24235 | − | 10.8121i | −0.232962 | − | 0.403503i | ||||
\(719\) | −22.2486 | + | 38.5357i | −0.829733 | + | 1.43714i | 0.0685151 | + | 0.997650i | \(0.478174\pi\) |
−0.898248 | + | 0.439489i | \(0.855159\pi\) | |||||||
\(720\) | −1.49072 | + | 7.46566i | −0.0555557 | + | 0.278229i | ||||
\(721\) | −22.4180 | − | 9.00456i | −0.834891 | − | 0.335348i | ||||
\(722\) | −18.7661 | −0.698402 | ||||||||
\(723\) | −17.1166 | − | 12.2751i | −0.636573 | − | 0.456516i | ||||
\(724\) | 19.1077 | − | 11.0319i | 0.710133 | − | 0.409996i | ||||
\(725\) | −8.64614 | + | 4.99185i | −0.321109 | + | 0.185393i | ||||
\(726\) | 5.60739 | + | 4.02132i | 0.208110 | + | 0.149245i | ||||
\(727\) | − | 4.60691i | − | 0.170861i | −0.996344 | − | 0.0854305i | \(-0.972773\pi\) | ||
0.996344 | − | 0.0854305i | \(-0.0272265\pi\) | |||||||
\(728\) | −9.35076 | + | 1.88769i | −0.346562 | + | 0.0699624i | ||||
\(729\) | −22.4166 | − | 15.0498i | −0.830243 | − | 0.557402i | ||||
\(730\) | −28.8974 | − | 16.6839i | −1.06954 | − | 0.617499i | ||||
\(731\) | −9.43538 | − | 16.3426i | −0.348980 | − | 0.604451i | ||||
\(732\) | −3.50711 | − | 7.74793i | −0.129626 | − | 0.286372i | ||||
\(733\) | −0.675297 | + | 1.16965i | −0.0249427 | + | 0.0432020i | −0.878227 | − | 0.478243i | \(-0.841274\pi\) |
0.853285 | + | 0.521445i | \(0.174607\pi\) | |||||||
\(734\) | 23.6812i | 0.874088i | ||||||||
\(735\) | 30.2440 | − | 5.65271i | 1.11557 | − | 0.208503i | ||||
\(736\) | 4.72776i | 0.174268i | ||||||||
\(737\) | 3.66109 | + | 2.11373i | 0.134858 | + | 0.0778603i | ||||
\(738\) | −8.62944 | + | 2.92223i | −0.317654 | + | 0.107569i | ||||
\(739\) | 21.6402 | − | 12.4940i | 0.796049 | − | 0.459599i | −0.0460384 | − | 0.998940i | \(-0.514660\pi\) |
0.842088 | + | 0.539340i | \(0.181326\pi\) | |||||||
\(740\) | −8.64531 | + | 14.9741i | −0.317808 | + | 0.550460i | ||||
\(741\) | −0.123800 | + | 3.01777i | −0.00454792 | + | 0.110861i | ||||
\(742\) | 3.50894 | + | 24.6048i | 0.128817 | + | 0.903271i | ||||
\(743\) | 45.1839 | 1.65764 | 0.828818 | − | 0.559519i | \(-0.189014\pi\) | ||||
0.828818 | + | 0.559519i | \(0.189014\pi\) | |||||||
\(744\) | 7.63294 | + | 5.47393i | 0.279837 | + | 0.200684i | ||||
\(745\) | −5.65652 | + | 3.26579i | −0.207239 | + | 0.119649i | ||||
\(746\) | 1.11557 | + | 1.93222i | 0.0408438 | + | 0.0707435i | ||||
\(747\) | 6.98809 | + | 6.13748i | 0.255681 | + | 0.224559i | ||||
\(748\) | −9.78058 | −0.357614 | ||||||||
\(749\) | −19.0808 | − | 7.66412i | −0.697198 | − | 0.280041i | ||||
\(750\) | 15.5725 | + | 1.53953i | 0.568626 | + | 0.0562157i | ||||
\(751\) | −13.1428 | + | 22.7639i | −0.479586 | + | 0.830667i | −0.999726 | − | 0.0234139i | \(-0.992546\pi\) |
0.520140 | + | 0.854081i | \(0.325880\pi\) | |||||||
\(752\) | 6.66192 | − | 3.84626i | 0.242935 | − | 0.140259i | ||||
\(753\) | −40.6397 | + | 18.3956i | −1.48099 | + | 0.670373i | ||||
\(754\) | 22.3345 | + | 11.2346i | 0.813373 | + | 0.409139i | ||||
\(755\) | −10.7867 | −0.392568 | ||||||||
\(756\) | −12.8192 | + | 4.96664i | −0.466231 | + | 0.180635i | ||||
\(757\) | −15.5743 | −0.566056 | −0.283028 | − | 0.959112i | \(-0.591339\pi\) | ||||
−0.283028 | + | 0.959112i | \(0.591339\pi\) | |||||||
\(758\) | 6.71804 | + | 3.87866i | 0.244010 | + | 0.140879i | ||||
\(759\) | −8.94447 | − | 19.7602i | −0.324664 | − | 0.717249i | ||||
\(760\) | 1.06289 | − | 0.613658i | 0.0385550 | − | 0.0222597i | ||||
\(761\) | 12.9920 | + | 7.50093i | 0.470959 | + | 0.271909i | 0.716641 | − | 0.697442i | \(-0.245679\pi\) |
−0.245682 | + | 0.969351i | \(0.579012\pi\) | |||||||
\(762\) | 1.82412 | − | 18.4512i | 0.0660810 | − | 0.668415i | ||||
\(763\) | 28.4225 | − | 22.2992i | 1.02896 | − | 0.807284i | ||||
\(764\) | − | 26.1744i | − | 0.946957i | ||||||
\(765\) | −21.1212 | − | 18.5503i | −0.763640 | − | 0.670688i | ||||
\(766\) | 7.94443 | − | 4.58672i | 0.287044 | − | 0.165725i | ||||
\(767\) | 17.3475 | − | 11.3938i | 0.626382 | − | 0.411407i | ||||
\(768\) | −1.40752 | − | 1.00940i | −0.0507895 | − | 0.0364235i | ||||
\(769\) | 34.6475 | 1.24942 | 0.624710 | − | 0.780857i | \(-0.285217\pi\) | ||||
0.624710 | + | 0.780857i | \(0.285217\pi\) | |||||||
\(770\) | −16.5027 | − | 6.62859i | −0.594717 | − | 0.238878i | ||||
\(771\) | 2.97892 | − | 30.1320i | 0.107283 | − | 1.08518i | ||||
\(772\) | −1.84511 | − | 1.06527i | −0.0664069 | − | 0.0383400i | ||||
\(773\) | 0.0831890 | − | 0.0480292i | 0.00299210 | − | 0.00172749i | −0.498503 | − | 0.866888i | \(-0.666117\pi\) |
0.501495 | + | 0.865160i | \(0.332783\pi\) | |||||||
\(774\) | 4.91759 | + | 14.5218i | 0.176759 | + | 0.521976i | ||||
\(775\) | −3.90404 | + | 6.76200i | −0.140237 | + | 0.242898i | ||||
\(776\) | −5.91584 | −0.212366 | ||||||||
\(777\) | −31.1946 | + | 1.34578i | −1.11910 | + | 0.0482796i | ||||
\(778\) | 34.3901i | 1.23294i | ||||||||
\(779\) | 1.27200 | + | 0.734387i | 0.0455740 | + | 0.0263121i | ||||
\(780\) | 7.35468 | + | 14.0379i | 0.263340 | + | 0.502636i | ||||
\(781\) | −17.0884 | − | 29.5980i | −0.611471 | − | 1.05910i | ||||
\(782\) | −15.1183 | − | 8.72854i | −0.540629 | − | 0.312132i | ||||
\(783\) | 34.4671 | + | 10.4970i | 1.23175 | + | 0.375131i | ||||
\(784\) | −1.66586 | + | 6.79889i | −0.0594949 | + | 0.242818i | ||||
\(785\) | −2.41441 | −0.0861740 | ||||||||
\(786\) | 8.91925 | + | 6.39640i | 0.318139 | + | 0.228152i | ||||
\(787\) | 22.1104 | + | 38.2963i | 0.788150 | + | 1.36512i | 0.927099 | + | 0.374817i | \(0.122294\pi\) |
−0.138949 | + | 0.990300i | \(0.544372\pi\) | |||||||
\(788\) | 2.18381 | + | 3.78247i | 0.0777949 | + | 0.134745i | ||||
\(789\) | −20.8618 | + | 29.0900i | −0.742700 | + | 1.03563i | ||||
\(790\) | − | 19.0765i | − | 0.678710i | ||||||
\(791\) | 7.66626 | + | 53.7561i | 0.272581 | + | 1.91135i | ||||
\(792\) | 7.79256 | + | 1.55599i | 0.276897 | + | 0.0552897i | ||||
\(793\) | −15.8158 | − | 7.95559i | −0.561635 | − | 0.282511i | ||||
\(794\) | −6.32491 | − | 10.9551i | −0.224462 | − | 0.388780i | ||||
\(795\) | 37.6154 | − | 17.0267i | 1.33408 | − | 0.603874i | ||||
\(796\) | 23.1724 | + | 13.3786i | 0.821324 | + | 0.474191i | ||||
\(797\) | 50.7960 | 1.79929 | 0.899644 | − | 0.436624i | \(-0.143826\pi\) | ||||
0.899644 | + | 0.436624i | \(0.143826\pi\) | |||||||
\(798\) | 1.96535 | + | 1.02439i | 0.0695728 | + | 0.0362632i | ||||
\(799\) | 28.4044i | 1.00487i | ||||||||
\(800\) | 0.719909 | − | 1.24692i | 0.0254526 | − | 0.0440853i | ||||
\(801\) | −7.80886 | + | 2.64436i | −0.275913 | + | 0.0934337i | ||||
\(802\) | −11.1563 | − | 19.3233i | −0.393944 | − | 0.682331i | ||||
\(803\) | −17.4144 | + | 30.1627i | −0.614543 | + | 1.06442i | ||||
\(804\) | −2.75093 | − | 0.271963i | −0.0970178 | − | 0.00959141i | ||||
\(805\) | −19.5934 | − | 24.9737i | −0.690577 | − | 0.880208i | ||||
\(806\) | 19.5204 | − | 1.12447i | 0.687578 | − | 0.0396079i | ||||
\(807\) | −0.669029 | − | 0.479791i | −0.0235509 | − | 0.0168895i | ||||
\(808\) | −6.93191 | − | 12.0064i | −0.243864 | − | 0.422384i | ||||
\(809\) | 17.7051 | − | 10.2220i | 0.622477 | − | 0.359387i | −0.155356 | − | 0.987859i | \(-0.549652\pi\) |
0.777833 | + | 0.628471i | \(0.216319\pi\) | |||||||
\(810\) | 13.8769 | + | 18.1399i | 0.487586 | + | 0.637371i | ||||
\(811\) | −41.1944 | −1.44653 | −0.723266 | − | 0.690570i | \(-0.757360\pi\) | ||||
−0.723266 | + | 0.690570i | \(0.757360\pi\) | |||||||
\(812\) | 14.4336 | − | 11.3240i | 0.506520 | − | 0.397395i | ||||
\(813\) | 0.263257 | − | 2.66286i | 0.00923282 | − | 0.0933907i | ||||
\(814\) | 15.6298 | + | 9.02386i | 0.547824 | + | 0.316286i | ||||
\(815\) | 6.95786 | + | 12.0514i | 0.243723 | + | 0.422141i | ||||
\(816\) | 5.82643 | − | 2.63734i | 0.203966 | − | 0.0923254i | ||||
\(817\) | 1.23584 | − | 2.14054i | 0.0432366 | − | 0.0748881i | ||||
\(818\) | 30.4213 | 1.06366 | ||||||||
\(819\) | −14.2567 | + | 24.8143i | −0.498168 | + | 0.867080i | ||||
\(820\) | 7.70676 | 0.269132 | ||||||||
\(821\) | −17.3162 | + | 29.9925i | −0.604338 | + | 1.04674i | 0.387818 | + | 0.921736i | \(0.373229\pi\) |
−0.992156 | + | 0.125008i | \(0.960104\pi\) | |||||||
\(822\) | 27.9019 | − | 12.6299i | 0.973192 | − | 0.440517i | ||||
\(823\) | 5.62828 | + | 9.74847i | 0.196190 | + | 0.339810i | 0.947290 | − | 0.320378i | \(-0.103810\pi\) |
−0.751100 | + | 0.660188i | \(0.770477\pi\) | |||||||
\(824\) | −7.90784 | − | 4.56559i | −0.275483 | − | 0.159050i | ||||
\(825\) | −0.649884 | + | 6.57363i | −0.0226261 | + | 0.228864i | ||||
\(826\) | −2.15019 | − | 15.0772i | −0.0748146 | − | 0.524602i | ||||
\(827\) | 35.0834 | 1.21997 | 0.609985 | − | 0.792413i | \(-0.291176\pi\) | ||||
0.609985 | + | 0.792413i | \(0.291176\pi\) | |||||||
\(828\) | 10.6567 | + | 9.35952i | 0.370345 | + | 0.325266i | ||||
\(829\) | 39.8985 | − | 23.0354i | 1.38573 | − | 0.800054i | 0.392903 | − | 0.919580i | \(-0.371471\pi\) |
0.992831 | + | 0.119526i | \(0.0381376\pi\) | |||||||
\(830\) | −3.93368 | − | 6.81333i | −0.136540 | − | 0.236494i | ||||
\(831\) | 39.4589 | + | 28.2978i | 1.36881 | + | 0.981638i | ||||
\(832\) | −3.59958 | + | 0.207354i | −0.124793 | + | 0.00718871i | ||||
\(833\) | −18.6657 | − | 17.8793i | −0.646728 | − | 0.619483i | ||||
\(834\) | 27.7401 | + | 2.74245i | 0.960560 | + | 0.0949632i | ||||
\(835\) | 7.81275 | − | 13.5321i | 0.270371 | − | 0.468297i | ||||
\(836\) | −0.640528 | − | 1.10943i | −0.0221531 | − | 0.0383704i | ||||
\(837\) | 27.4495 | − | 6.36844i | 0.948793 | − | 0.220125i | ||||
\(838\) | 11.4781 | − | 19.8807i | 0.396506 | − | 0.686768i | ||||
\(839\) | 53.0141i | 1.83025i | 0.403171 | + | 0.915125i | \(0.367908\pi\) | ||||
−0.403171 | + | 0.915125i | \(0.632092\pi\) | |||||||
\(840\) | 11.6183 | − | 0.501230i | 0.400870 | − | 0.0172941i | ||||
\(841\) | −19.0803 | −0.657941 | ||||||||
\(842\) | 10.1413 | + | 5.85510i | 0.349494 | + | 0.201780i | ||||
\(843\) | 47.9514 | − | 21.7053i | 1.65154 | − | 0.747570i | ||||
\(844\) | 8.66575 | + | 15.0095i | 0.298288 | + | 0.516649i | ||||
\(845\) | 30.2751 | + | 13.1051i | 1.04150 | + | 0.450831i | ||||
\(846\) | 4.51884 | − | 22.6308i | 0.155361 | − | 0.778064i | ||||
\(847\) | 3.92863 | − | 9.78083i | 0.134989 | − | 0.336073i | ||||
\(848\) | 9.39383i | 0.322586i | ||||||||
\(849\) | 7.08251 | − | 9.87596i | 0.243071 | − | 0.338942i | ||||
\(850\) | 2.65824 | + | 4.60420i | 0.0911768 | + | 0.157923i | ||||
\(851\) | 16.1064 | + | 27.8972i | 0.552122 | + | 0.956303i | ||||
\(852\) | 18.1609 | + | 13.0240i | 0.622183 | + | 0.446196i | ||||
\(853\) | 22.2010 | 0.760147 | 0.380074 | − | 0.924956i | \(-0.375899\pi\) | ||||
0.380074 | + | 0.924956i | \(0.375899\pi\) | |||||||
\(854\) | −10.2209 | + | 8.01893i | −0.349753 | + | 0.274402i | ||||
\(855\) | 0.720966 | − | 3.61067i | 0.0246565 | − | 0.123482i | ||||
\(856\) | −6.73065 | − | 3.88594i | −0.230049 | − | 0.132819i | ||||
\(857\) | 18.4059 | + | 31.8799i | 0.628732 | + | 1.08900i | 0.987806 | + | 0.155687i | \(0.0497592\pi\) |
−0.359074 | + | 0.933309i | \(0.616907\pi\) | |||||||
\(858\) | 14.6525 | − | 7.67672i | 0.500229 | − | 0.262079i | ||||
\(859\) | −6.38470 | − | 3.68621i | −0.217843 | − | 0.125772i | 0.387108 | − | 0.922034i | \(-0.373474\pi\) |
−0.604951 | + | 0.796263i | \(0.706807\pi\) | |||||||
\(860\) | − | 12.9691i | − | 0.442243i | ||||||
\(861\) | 7.47150 | + | 11.7413i | 0.254628 | + | 0.400144i | ||||
\(862\) | −18.3104 | −0.623654 | ||||||||
\(863\) | −17.7758 | + | 30.7886i | −0.605096 | + | 1.04806i | 0.386940 | + | 0.922105i | \(0.373532\pi\) |
−0.992036 | + | 0.125952i | \(0.959801\pi\) | |||||||
\(864\) | −5.06171 | + | 1.17435i | −0.172203 | + | 0.0399520i | ||||
\(865\) | 15.1800 | − | 8.76417i | 0.516135 | − | 0.297991i | ||||
\(866\) | 18.3413 | + | 10.5893i | 0.623261 | + | 0.359840i | ||||
\(867\) | 0.573532 | − | 5.80132i | 0.0194782 | − | 0.197023i | ||||
\(868\) | 5.34777 | − | 13.3140i | 0.181515 | − | 0.451905i | ||||
\(869\) | −19.9118 | −0.675460 | ||||||||
\(870\) | −24.7671 | − | 17.7616i | −0.839684 | − | 0.602176i | ||||
\(871\) | −4.80977 | + | 3.15905i | −0.162973 | + | 0.107040i | ||||
\(872\) | 11.8250 | − | 6.82718i | 0.400446 | − | 0.231198i | ||||
\(873\) | −11.7116 | + | 13.3347i | −0.396376 | + | 0.451311i | ||||
\(874\) | − | 2.28652i | − | 0.0773428i | ||||||
\(875\) | −3.37475 | − | 23.6639i | −0.114087 | − | 0.799985i | ||||
\(876\) | 2.24063 | − | 22.6642i | 0.0757039 | − | 0.765751i | ||||
\(877\) | −33.3702 | − | 19.2663i | −1.12683 | − | 0.650576i | −0.183695 | − | 0.982983i | \(-0.558806\pi\) |
−0.943136 | + | 0.332407i | \(0.892139\pi\) | |||||||
\(878\) | 7.13298 | − | 4.11823i | 0.240727 | − | 0.138984i | ||||
\(879\) | 23.1580 | + | 51.1607i | 0.781099 | + | 1.72561i | ||||
\(880\) | −5.82125 | − | 3.36090i | −0.196234 | − | 0.113296i | ||||
\(881\) | −19.2791 | −0.649530 | −0.324765 | − | 0.945795i | \(-0.605285\pi\) | ||||
−0.324765 | + | 0.945795i | \(0.605285\pi\) | |||||||
\(882\) | 12.0273 | + | 17.2147i | 0.404979 | + | 0.579648i | ||||
\(883\) | 5.53806 | 0.186371 | 0.0931853 | − | 0.995649i | \(-0.470295\pi\) | ||||
0.0931853 | + | 0.995649i | \(0.470295\pi\) | |||||||
\(884\) | 5.98259 | − | 11.8935i | 0.201216 | − | 0.400020i | ||||
\(885\) | −23.0498 | + | 10.4335i | −0.774810 | + | 0.350719i | ||||
\(886\) | −7.54716 | + | 4.35736i | −0.253552 | + | 0.146388i | ||||
\(887\) | −25.0298 | + | 43.3529i | −0.840418 | + | 1.45565i | 0.0491228 | + | 0.998793i | \(0.484357\pi\) |
−0.889541 | + | 0.456855i | \(0.848976\pi\) | |||||||
\(888\) | −11.7442 | − | 1.16106i | −0.394109 | − | 0.0389625i | ||||
\(889\) | −28.0383 | + | 3.99860i | −0.940375 | + | 0.134109i | ||||
\(890\) | 6.97393 | 0.233767 | ||||||||
\(891\) | 18.9342 | − | 14.4846i | 0.634319 | − | 0.485251i | ||||
\(892\) | 2.17749 | + | 3.77151i | 0.0729076 | + | 0.126280i | ||||
\(893\) | −3.22195 | + | 1.86020i | −0.107819 | + | 0.0622491i | ||||
\(894\) | −3.62274 | − | 2.59803i | −0.121162 | − | 0.0868912i | ||||
\(895\) | 4.37819 | 0.146347 | ||||||||
\(896\) | −0.986133 | + | 2.45511i | −0.0329444 | + | 0.0820193i | ||||
\(897\) | 29.5001 | + | 1.21020i | 0.984978 | + | 0.0404075i | ||||
\(898\) | 11.3423 | − | 19.6454i | 0.378496 | − | 0.655574i | ||||
\(899\) | −32.5650 | + | 18.8014i | −1.08610 | + | 0.627062i | ||||
\(900\) | −1.38544 | − | 4.09124i | −0.0461813 | − | 0.136375i | ||||
\(901\) | −30.0393 | − | 17.3432i | −1.00075 | − | 0.577785i | ||||
\(902\) | − | 8.04422i | − | 0.267843i | ||||||
\(903\) | 19.7586 | − | 12.5732i | 0.657524 | − | 0.418410i | ||||
\(904\) | 20.5235i | 0.682600i | ||||||||
\(905\) | −27.9953 | + | 48.4893i | −0.930596 | + | 1.61184i | ||||
\(906\) | −3.03600 | − | 6.70715i | −0.100864 | − | 0.222830i | ||||
\(907\) | 2.26274 | + | 3.91918i | 0.0751330 | + | 0.130134i | 0.901144 | − | 0.433520i | \(-0.142729\pi\) |
−0.826011 | + | 0.563654i | \(0.809395\pi\) | |||||||
\(908\) | −17.3580 | − | 10.0217i | −0.576046 | − | 0.332580i | ||||
\(909\) | −40.7863 | − | 8.14406i | −1.35280 | − | 0.270121i | ||||
\(910\) | 18.1549 | − | 16.0132i | 0.601830 | − | 0.530832i | ||||
\(911\) | − | 35.0796i | − | 1.16224i | −0.813818 | − | 0.581120i | \(-0.802615\pi\) | ||
0.813818 | − | 0.581120i | \(-0.197385\pi\) | |||||||
\(912\) | 0.680730 | + | 0.488182i | 0.0225412 | + | 0.0161653i | ||||
\(913\) | −7.11166 | + | 4.10592i | −0.235362 | + | 0.135886i | ||||
\(914\) | −11.5835 | + | 6.68771i | −0.383147 | + | 0.221210i | ||||
\(915\) | 17.5384 | + | 12.5776i | 0.579803 | + | 0.415803i | ||||
\(916\) | 26.6240 | 0.879683 | ||||||||
\(917\) | 6.24897 | − | 15.5576i | 0.206359 | − | 0.513758i | ||||
\(918\) | 5.58981 | − | 18.3543i | 0.184491 | − | 0.605781i | ||||
\(919\) | −20.4670 | + | 35.4499i | −0.675144 | + | 1.16938i | 0.301283 | + | 0.953535i | \(0.402585\pi\) |
−0.976427 | + | 0.215848i | \(0.930748\pi\) | |||||||
\(920\) | −5.99877 | − | 10.3902i | −0.197774 | − | 0.342554i | ||||
\(921\) | −47.3940 | + | 21.4530i | −1.56169 | + | 0.706900i | ||||
\(922\) | 0.673343 | + | 0.388755i | 0.0221754 | + | 0.0128030i | ||||
\(923\) | 46.4446 | − | 2.67544i | 1.52874 | − | 0.0880632i | ||||
\(924\) | −0.523177 | − | 12.1270i | −0.0172113 | − | 0.398950i | ||||
\(925\) | − | 9.81029i | − | 0.322560i | ||||||
\(926\) | 2.76857 | + | 1.59843i | 0.0909807 | + | 0.0525277i | ||||
\(927\) | −25.9463 | + | 8.78631i | −0.852187 | + | 0.288580i | ||||
\(928\) | 6.00502 | − | 3.46700i | 0.197124 | − | 0.113810i | ||||
\(929\) | 15.4303 | + | 8.90866i | 0.506250 | + | 0.292284i | 0.731291 | − | 0.682066i | \(-0.238918\pi\) |
−0.225041 | + | 0.974349i | \(0.572251\pi\) | |||||||
\(930\) | −23.7204 | − | 2.34506i | −0.777823 | − | 0.0768974i | ||||
\(931\) | 0.805671 | − | 3.28820i | 0.0264048 | − | 0.107766i | ||||
\(932\) | − | 23.3912i | − | 0.766203i | ||||||
\(933\) | −8.99387 | − | 6.44992i | −0.294446 | − | 0.211161i | ||||
\(934\) | 0.719079 | + | 1.24548i | 0.0235290 | + | 0.0407534i | ||||
\(935\) | 21.4947 | − | 12.4100i | 0.702953 | − | 0.405850i | ||||
\(936\) | −6.65869 | + | 8.52420i | −0.217646 | + | 0.278622i | ||||
\(937\) | 30.8788i | 1.00877i | 0.863480 | + | 0.504383i | \(0.168280\pi\) | ||||
−0.863480 | + | 0.504383i | \(0.831720\pi\) | |||||||
\(938\) | 0.596161 | + | 4.18030i | 0.0194654 | + | 0.136492i | ||||
\(939\) | 17.0919 | + | 1.68974i | 0.557773 | + | 0.0551427i | ||||
\(940\) | −9.76058 | + | 16.9058i | −0.318355 | + | 0.551407i | ||||
\(941\) | 12.9864 | − | 7.49770i | 0.423344 | − | 0.244418i | −0.273163 | − | 0.961968i | \(-0.588070\pi\) |
0.696507 | + | 0.717550i | \(0.254736\pi\) | |||||||
\(942\) | −0.679554 | − | 1.50128i | −0.0221411 | − | 0.0489142i | ||||
\(943\) | 7.17895 | − | 12.4343i | 0.233779 | − | 0.404917i | ||||
\(944\) | − | 5.75630i | − | 0.187352i | ||||||
\(945\) | 21.8709 | − | 27.1807i | 0.711460 | − | 0.884188i | ||||
\(946\) | −13.5370 | −0.440125 | ||||||||
\(947\) | 8.13729 | − | 14.0942i | 0.264426 | − | 0.458000i | −0.702987 | − | 0.711203i | \(-0.748151\pi\) |
0.967413 | + | 0.253203i | \(0.0814841\pi\) | |||||||
\(948\) | 11.8617 | − | 5.36922i | 0.385251 | − | 0.174384i | ||||
\(949\) | −26.0266 | − | 39.6264i | −0.844859 | − | 1.28633i | ||||
\(950\) | −0.348175 | + | 0.603057i | −0.0112963 | + | 0.0195657i | ||||
\(951\) | 5.44240 | − | 55.0503i | 0.176482 | − | 1.78513i | ||||
\(952\) | −6.03022 | − | 7.68611i | −0.195441 | − | 0.249108i | ||||
\(953\) | 35.3790i | 1.14604i | 0.819542 | + | 0.573019i | \(0.194228\pi\) | ||||
−0.819542 | + | 0.573019i | \(0.805772\pi\) | |||||||
\(954\) | 21.1743 | + | 18.5969i | 0.685544 | + | 0.602097i | ||||
\(955\) | 33.2111 | + | 57.5234i | 1.07469 | + | 1.86141i | ||||
\(956\) | −5.33853 | − | 9.24661i | −0.172660 | − | 0.299057i | ||||
\(957\) | −18.5394 | + | 25.8516i | −0.599292 | + | 0.835663i | ||||
\(958\) | 10.4447i | 0.337454i | ||||||||
\(959\) | −28.8779 | − | 36.8077i | −0.932515 | − | 1.18858i | ||||
\(960\) | 4.37407 | + | 0.432430i | 0.141172 | + | 0.0139566i | ||||
\(961\) | 0.795717 | − | 1.37822i | 0.0256683 | − | 0.0444588i | ||||
\(962\) | −20.5337 | + | 13.4865i | −0.662033 | + | 0.434823i | ||||
\(963\) | −22.0838 | + | 7.47835i | −0.711641 | + | 0.240987i | ||||
\(964\) | −6.08041 | + | 10.5316i | −0.195837 | + | 0.339199i | ||||
\(965\) | 5.40665 | 0.174046 | ||||||||
\(966\) | 10.0139 | − | 19.2122i | 0.322192 | − | 0.618142i | ||||
\(967\) | − | 8.97650i | − | 0.288665i | −0.989529 | − | 0.144332i | \(-0.953897\pi\) | ||
0.989529 | − | 0.144332i | \(-0.0461035\pi\) | |||||||
\(968\) | 1.99194 | − | 3.45014i | 0.0640233 | − | 0.110892i | ||||
\(969\) | −2.81788 | + | 1.27552i | −0.0905233 | + | 0.0409755i | ||||
\(970\) | 13.0012 | − | 7.50626i | 0.417444 | − | 0.241011i | ||||
\(971\) | 1.17336 | − | 2.03232i | 0.0376550 | − | 0.0652203i | −0.846584 | − | 0.532256i | \(-0.821345\pi\) |
0.884239 | + | 0.467035i | \(0.154678\pi\) | |||||||
\(972\) | −7.37359 | + | 13.7343i | −0.236508 | + | 0.440527i | ||||
\(973\) | −6.01163 | − | 42.1537i | −0.192724 | − | 1.35139i | ||||
\(974\) | − | 2.40290i | − | 0.0769939i | ||||||
\(975\) | −7.59619 | − | 4.81124i | −0.243273 | − | 0.154083i | ||||
\(976\) | −4.25236 | + | 2.45510i | −0.136115 | + | 0.0785858i | ||||
\(977\) | −17.3396 | − | 30.0330i | −0.554742 | − | 0.960841i | −0.997924 | − | 0.0644089i | \(-0.979484\pi\) |
0.443182 | − | 0.896432i | \(-0.353850\pi\) | |||||||
\(978\) | −5.53518 | + | 7.71834i | −0.176995 | + | 0.246805i | ||||
\(979\) | − | 7.27929i | − | 0.232647i | ||||||
\(980\) | −4.96566 | − | 17.0556i | −0.158622 | − | 0.544821i | ||||
\(981\) | 8.02102 | − | 40.1701i | 0.256091 | − | 1.28253i | ||||
\(982\) | −10.7019 | − | 6.17874i | −0.341511 | − | 0.197172i | ||||
\(983\) | 22.3427 | − | 12.8996i | 0.712621 | − | 0.411432i | −0.0994096 | − | 0.995047i | \(-0.531695\pi\) |
0.812031 | + | 0.583615i | \(0.198362\pi\) | |||||||
\(984\) | 2.16913 | + | 4.79205i | 0.0691493 | + | 0.152765i | ||||
\(985\) | −9.59869 | − | 5.54180i | −0.305840 | − | 0.176577i | ||||
\(986\) | 25.6035i | 0.815382i | ||||||||
\(987\) | −35.2188 | + | 1.51939i | −1.12103 | + | 0.0483627i | ||||
\(988\) | 1.74089 | − | 0.100284i | 0.0553852 | − | 0.00319046i | ||||
\(989\) | −20.9247 | − | 12.0809i | −0.665367 | − | 0.384150i | ||||
\(990\) | −19.1000 | + | 6.46792i | −0.607037 | + | 0.205564i | ||||
\(991\) | 25.4169 | + | 44.0233i | 0.807394 | + | 1.39845i | 0.914663 | + | 0.404217i | \(0.132456\pi\) |
−0.107270 | + | 0.994230i | \(0.534211\pi\) | |||||||
\(992\) | 2.71148 | − | 4.69643i | 0.0860897 | − | 0.149112i | ||||
\(993\) | 26.2709 | + | 2.59721i | 0.833683 | + | 0.0824199i | ||||
\(994\) | 12.7238 | − | 31.6776i | 0.403576 | − | 1.00475i | ||||
\(995\) | −67.9011 | −2.15261 | ||||||||
\(996\) | 3.12935 | − | 4.36362i | 0.0991573 | − | 0.138267i | ||||
\(997\) | −31.3253 | + | 18.0857i | −0.992082 | + | 0.572779i | −0.905896 | − | 0.423500i | \(-0.860801\pi\) |
−0.0861859 | + | 0.996279i | \(0.527468\pi\) | |||||||
\(998\) | −14.9074 | + | 8.60680i | −0.471886 | + | 0.272444i | ||||
\(999\) | −25.8670 | + | 24.1736i | −0.818395 | + | 0.764819i |
(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.bg.a.467.16 | yes | 36 | |
3.2 | odd | 2 | 546.2.bg.b.467.15 | yes | 36 | ||
7.3 | odd | 6 | inner | 546.2.bg.a.311.15 | ✓ | 36 | |
13.12 | even | 2 | 546.2.bg.b.467.16 | yes | 36 | ||
21.17 | even | 6 | 546.2.bg.b.311.16 | yes | 36 | ||
39.38 | odd | 2 | inner | 546.2.bg.a.467.15 | yes | 36 | |
91.38 | odd | 6 | 546.2.bg.b.311.15 | yes | 36 | ||
273.38 | even | 6 | inner | 546.2.bg.a.311.16 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bg.a.311.15 | ✓ | 36 | 7.3 | odd | 6 | inner | |
546.2.bg.a.311.16 | yes | 36 | 273.38 | even | 6 | inner | |
546.2.bg.a.467.15 | yes | 36 | 39.38 | odd | 2 | inner | |
546.2.bg.a.467.16 | yes | 36 | 1.1 | even | 1 | trivial | |
546.2.bg.b.311.15 | yes | 36 | 91.38 | odd | 6 | ||
546.2.bg.b.311.16 | yes | 36 | 21.17 | even | 6 | ||
546.2.bg.b.467.15 | yes | 36 | 3.2 | odd | 2 | ||
546.2.bg.b.467.16 | yes | 36 | 13.12 | even | 2 |