Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,3,Mod(37,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.37");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.v (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.72208555157\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 193.4 | ||
Character | \(\chi\) | \(=\) | 210.193 |
Dual form | 210.3.v.a.37.4 |
$q$-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 \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.36603 | − | 0.366025i | −0.683013 | − | 0.183013i | ||||
\(3\) | −1.67303 | + | 0.448288i | −0.557678 | + | 0.149429i | ||||
\(4\) | 1.73205 | + | 1.00000i | 0.433013 | + | 0.250000i | ||||
\(5\) | 4.98663 | + | 0.365451i | 0.997325 | + | 0.0730902i | ||||
\(6\) | 2.44949 | 0.408248 | ||||||||
\(7\) | −3.26382 | + | 6.19254i | −0.466260 | + | 0.884648i | ||||
\(8\) | −2.00000 | − | 2.00000i | −0.250000 | − | 0.250000i | ||||
\(9\) | 2.59808 | − | 1.50000i | 0.288675 | − | 0.166667i | ||||
\(10\) | −6.67809 | − | 2.32445i | −0.667809 | − | 0.232445i | ||||
\(11\) | −0.187724 | + | 0.325147i | −0.0170658 | + | 0.0295588i | −0.874432 | − | 0.485148i | \(-0.838766\pi\) |
0.857366 | + | 0.514707i | \(0.172099\pi\) | |||||||
\(12\) | −3.34607 | − | 0.896575i | −0.278839 | − | 0.0747146i | ||||
\(13\) | −9.32144 | − | 9.32144i | −0.717034 | − | 0.717034i | 0.250963 | − | 0.967997i | \(-0.419253\pi\) |
−0.967997 | + | 0.250963i | \(0.919253\pi\) | |||||||
\(14\) | 6.72508 | − | 7.26452i | 0.480363 | − | 0.518894i | ||||
\(15\) | −8.50662 | + | 1.62403i | −0.567108 | + | 0.108269i | ||||
\(16\) | 2.00000 | + | 3.46410i | 0.125000 | + | 0.216506i | ||||
\(17\) | 7.97190 | + | 29.7515i | 0.468935 | + | 1.75009i | 0.643501 | + | 0.765445i | \(0.277481\pi\) |
−0.174566 | + | 0.984646i | \(0.555852\pi\) | |||||||
\(18\) | −4.09808 | + | 1.09808i | −0.227671 | + | 0.0610042i | ||||
\(19\) | 6.46747 | − | 3.73399i | 0.340393 | − | 0.196526i | −0.320053 | − | 0.947400i | \(-0.603701\pi\) |
0.660446 | + | 0.750874i | \(0.270367\pi\) | |||||||
\(20\) | 8.27164 | + | 5.61961i | 0.413582 | + | 0.280980i | ||||
\(21\) | 2.68443 | − | 11.8234i | 0.127830 | − | 0.563021i | ||||
\(22\) | 0.375447 | − | 0.375447i | 0.0170658 | − | 0.0170658i | ||||
\(23\) | −10.3004 | + | 38.4418i | −0.447845 | + | 1.67138i | 0.260467 | + | 0.965483i | \(0.416124\pi\) |
−0.708312 | + | 0.705899i | \(0.750543\pi\) | |||||||
\(24\) | 4.24264 | + | 2.44949i | 0.176777 | + | 0.102062i | ||||
\(25\) | 24.7329 | + | 3.64474i | 0.989316 | + | 0.145789i | ||||
\(26\) | 9.32144 | + | 16.1452i | 0.358517 | + | 0.620970i | ||||
\(27\) | −3.67423 | + | 3.67423i | −0.136083 | + | 0.136083i | ||||
\(28\) | −11.8456 | + | 7.46197i | −0.423058 | + | 0.266499i | ||||
\(29\) | 22.0507i | 0.760370i | 0.924911 | + | 0.380185i | \(0.124140\pi\) | ||||
−0.924911 | + | 0.380185i | \(0.875860\pi\) | |||||||
\(30\) | 12.2147 | + | 0.895168i | 0.407156 | + | 0.0298389i | ||||
\(31\) | −23.7274 | + | 41.0971i | −0.765400 | + | 1.32571i | 0.174635 | + | 0.984633i | \(0.444125\pi\) |
−0.940035 | + | 0.341078i | \(0.889208\pi\) | |||||||
\(32\) | −1.46410 | − | 5.46410i | −0.0457532 | − | 0.170753i | ||||
\(33\) | 0.168308 | − | 0.628136i | 0.00510026 | − | 0.0190344i | ||||
\(34\) | − | 43.5593i | − | 1.28116i | ||||||
\(35\) | −18.5385 | + | 29.6871i | −0.529672 | + | 0.848203i | ||||
\(36\) | 6.00000 | 0.166667 | ||||||||
\(37\) | −5.90803 | − | 1.58305i | −0.159676 | − | 0.0427852i | 0.178095 | − | 0.984013i | \(-0.443006\pi\) |
−0.337772 | + | 0.941228i | \(0.609673\pi\) | |||||||
\(38\) | −10.2015 | + | 2.73347i | −0.268459 | + | 0.0719335i | ||||
\(39\) | 19.7738 | + | 11.4164i | 0.507020 | + | 0.292728i | ||||
\(40\) | −9.24235 | − | 10.7042i | −0.231059 | − | 0.267604i | ||||
\(41\) | 78.1193 | 1.90535 | 0.952675 | − | 0.303992i | \(-0.0983197\pi\) | ||||
0.952675 | + | 0.303992i | \(0.0983197\pi\) | |||||||
\(42\) | −7.99469 | + | 15.1686i | −0.190350 | + | 0.361156i | ||||
\(43\) | −12.2703 | − | 12.2703i | −0.285357 | − | 0.285357i | 0.549884 | − | 0.835241i | \(-0.314672\pi\) |
−0.835241 | + | 0.549884i | \(0.814672\pi\) | |||||||
\(44\) | −0.650294 | + | 0.375447i | −0.0147794 | + | 0.00853289i | ||||
\(45\) | 13.5038 | − | 6.53047i | 0.300085 | − | 0.145122i | ||||
\(46\) | 28.1413 | − | 48.7422i | 0.611768 | − | 1.05961i | ||||
\(47\) | −11.4346 | − | 3.06391i | −0.243290 | − | 0.0651895i | 0.135113 | − | 0.990830i | \(-0.456860\pi\) |
−0.378404 | + | 0.925641i | \(0.623527\pi\) | |||||||
\(48\) | −4.89898 | − | 4.89898i | −0.102062 | − | 0.102062i | ||||
\(49\) | −27.6950 | − | 40.4226i | −0.565204 | − | 0.824951i | ||||
\(50\) | −32.4517 | − | 14.0317i | −0.649034 | − | 0.280633i | ||||
\(51\) | −26.6745 | − | 46.2016i | −0.523029 | − | 0.905914i | ||||
\(52\) | −6.82377 | − | 25.4667i | −0.131226 | − | 0.489743i | ||||
\(53\) | 3.93772 | − | 1.05511i | 0.0742967 | − | 0.0199077i | −0.221479 | − | 0.975165i | \(-0.571088\pi\) |
0.295776 | + | 0.955257i | \(0.404422\pi\) | |||||||
\(54\) | 6.36396 | − | 3.67423i | 0.117851 | − | 0.0680414i | ||||
\(55\) | −1.05493 | + | 1.55278i | −0.0191806 | + | 0.0282324i | ||||
\(56\) | 18.9127 | − | 5.85744i | 0.337727 | − | 0.104597i | ||||
\(57\) | −9.14638 | + | 9.14638i | −0.160463 | + | 0.160463i | ||||
\(58\) | 8.07112 | − | 30.1218i | 0.139157 | − | 0.519342i | ||||
\(59\) | 2.87480 | + | 1.65977i | 0.0487254 | + | 0.0281316i | 0.524165 | − | 0.851617i | \(-0.324378\pi\) |
−0.475439 | + | 0.879748i | \(0.657711\pi\) | |||||||
\(60\) | −16.3579 | − | 5.69371i | −0.272632 | − | 0.0948952i | ||||
\(61\) | −44.2733 | − | 76.6835i | −0.725791 | − | 1.25711i | −0.958648 | − | 0.284596i | \(-0.908141\pi\) |
0.232857 | − | 0.972511i | \(-0.425193\pi\) | |||||||
\(62\) | 47.4548 | − | 47.4548i | 0.765400 | − | 0.765400i | ||||
\(63\) | 0.809158 | + | 20.9844i | 0.0128438 | + | 0.333086i | ||||
\(64\) | 8.00000i | 0.125000i | ||||||||
\(65\) | −43.0760 | − | 49.8891i | −0.662708 | − | 0.767524i | ||||
\(66\) | −0.459827 | + | 0.796444i | −0.00696708 | + | 0.0120673i | ||||
\(67\) | 23.1703 | + | 86.4726i | 0.345825 | + | 1.29064i | 0.891646 | + | 0.452734i | \(0.149551\pi\) |
−0.545821 | + | 0.837902i | \(0.683782\pi\) | |||||||
\(68\) | −15.9438 | + | 59.5031i | −0.234468 | + | 0.875045i | ||||
\(69\) | − | 68.9319i | − | 0.999013i | ||||||
\(70\) | 36.1903 | − | 33.7678i | 0.517004 | − | 0.482397i | ||||
\(71\) | 64.3942 | 0.906960 | 0.453480 | − | 0.891266i | \(-0.350182\pi\) | ||||
0.453480 | + | 0.891266i | \(0.350182\pi\) | |||||||
\(72\) | −8.19615 | − | 2.19615i | −0.113835 | − | 0.0305021i | ||||
\(73\) | −11.6887 | + | 3.13198i | −0.160119 | + | 0.0429038i | −0.337988 | − | 0.941150i | \(-0.609746\pi\) |
0.177869 | + | 0.984054i | \(0.443080\pi\) | |||||||
\(74\) | 7.49108 | + | 4.32498i | 0.101231 | + | 0.0584456i | ||||
\(75\) | −43.0128 | + | 4.98969i | −0.573504 | + | 0.0665292i | ||||
\(76\) | 14.9360 | 0.196526 | ||||||||
\(77\) | −1.40079 | − | 2.22371i | −0.0181921 | − | 0.0288793i | ||||
\(78\) | −22.8328 | − | 22.8328i | −0.292728 | − | 0.292728i | ||||
\(79\) | −31.3872 | + | 18.1214i | −0.397307 | + | 0.229385i | −0.685321 | − | 0.728241i | \(-0.740338\pi\) |
0.288015 | + | 0.957626i | \(0.407005\pi\) | |||||||
\(80\) | 8.70729 | + | 18.0051i | 0.108841 | + | 0.225064i | ||||
\(81\) | 4.50000 | − | 7.79423i | 0.0555556 | − | 0.0962250i | ||||
\(82\) | −106.713 | − | 28.5937i | −1.30138 | − | 0.348703i | ||||
\(83\) | −94.4289 | − | 94.4289i | −1.13770 | − | 1.13770i | −0.988862 | − | 0.148836i | \(-0.952447\pi\) |
−0.148836 | − | 0.988862i | \(-0.547553\pi\) | |||||||
\(84\) | 16.4730 | − | 17.7944i | 0.196107 | − | 0.211838i | ||||
\(85\) | 28.8802 | + | 151.273i | 0.339767 | + | 1.77968i | ||||
\(86\) | 12.2703 | + | 21.2529i | 0.142678 | + | 0.247126i | ||||
\(87\) | −9.88507 | − | 36.8916i | −0.113621 | − | 0.424041i | ||||
\(88\) | 1.02574 | − | 0.274847i | 0.0116562 | − | 0.00312326i | ||||
\(89\) | −50.7781 | + | 29.3168i | −0.570541 | + | 0.329402i | −0.757365 | − | 0.652992i | \(-0.773514\pi\) |
0.186825 | + | 0.982393i | \(0.440180\pi\) | |||||||
\(90\) | −20.8369 | + | 3.97805i | −0.231521 | + | 0.0442006i | ||||
\(91\) | 88.1468 | − | 27.2999i | 0.968647 | − | 0.299999i | ||||
\(92\) | −56.2827 | + | 56.2827i | −0.611768 | + | 0.611768i | ||||
\(93\) | 21.2734 | − | 79.3934i | 0.228746 | − | 0.853693i | ||||
\(94\) | 14.4986 | + | 8.37074i | 0.154240 | + | 0.0890505i | ||||
\(95\) | 33.6154 | − | 16.2565i | 0.353847 | − | 0.171121i | ||||
\(96\) | 4.89898 | + | 8.48528i | 0.0510310 | + | 0.0883883i | ||||
\(97\) | 56.0148 | − | 56.0148i | 0.577472 | − | 0.577472i | −0.356734 | − | 0.934206i | \(-0.616110\pi\) |
0.934206 | + | 0.356734i | \(0.116110\pi\) | |||||||
\(98\) | 23.0364 | + | 65.3554i | 0.235065 | + | 0.666892i | ||||
\(99\) | 1.12634i | 0.0113772i | ||||||||
\(100\) | 39.1939 | + | 31.0458i | 0.391939 | + | 0.310458i | ||||
\(101\) | 52.5283 | − | 90.9817i | 0.520082 | − | 0.900809i | −0.479645 | − | 0.877463i | \(-0.659235\pi\) |
0.999727 | − | 0.0233465i | \(-0.00743211\pi\) | |||||||
\(102\) | 19.5271 | + | 72.8761i | 0.191442 | + | 0.714472i | ||||
\(103\) | 40.1725 | − | 149.926i | 0.390025 | − | 1.45559i | −0.440067 | − | 0.897965i | \(-0.645045\pi\) |
0.830092 | − | 0.557627i | \(-0.188288\pi\) | |||||||
\(104\) | 37.2858i | 0.358517i | ||||||||
\(105\) | 17.7072 | − | 57.9781i | 0.168640 | − | 0.552172i | ||||
\(106\) | −5.76523 | −0.0543889 | ||||||||
\(107\) | 122.698 | + | 32.8768i | 1.14671 | + | 0.307260i | 0.781646 | − | 0.623723i | \(-0.214381\pi\) |
0.365063 | + | 0.930983i | \(0.381047\pi\) | |||||||
\(108\) | −10.0382 | + | 2.68973i | −0.0929463 | + | 0.0249049i | ||||
\(109\) | 39.6455 | + | 22.8893i | 0.363720 | + | 0.209994i | 0.670711 | − | 0.741719i | \(-0.265989\pi\) |
−0.306991 | + | 0.951712i | \(0.599322\pi\) | |||||||
\(110\) | 2.00942 | − | 1.73501i | 0.0182675 | − | 0.0157728i | ||||
\(111\) | 10.5940 | 0.0954413 | ||||||||
\(112\) | −27.9792 | + | 1.07888i | −0.249814 | + | 0.00963283i | ||||
\(113\) | −85.7539 | − | 85.7539i | −0.758884 | − | 0.758884i | 0.217235 | − | 0.976119i | \(-0.430296\pi\) |
−0.976119 | + | 0.217235i | \(0.930296\pi\) | |||||||
\(114\) | 15.8420 | − | 9.14638i | 0.138965 | − | 0.0802314i | ||||
\(115\) | −65.4131 | + | 187.931i | −0.568809 | + | 1.63418i | ||||
\(116\) | −22.0507 | + | 38.1930i | −0.190092 | + | 0.329250i | ||||
\(117\) | −38.2000 | − | 10.2357i | −0.326496 | − | 0.0874842i | ||||
\(118\) | −3.31953 | − | 3.31953i | −0.0281316 | − | 0.0281316i | ||||
\(119\) | −210.256 | − | 47.7373i | −1.76686 | − | 0.401154i | ||||
\(120\) | 20.2613 | + | 13.7652i | 0.168844 | + | 0.114710i | ||||
\(121\) | 60.4295 | + | 104.667i | 0.499418 | + | 0.865017i | ||||
\(122\) | 32.4103 | + | 120.957i | 0.265658 | + | 0.991449i | ||||
\(123\) | −130.696 | + | 35.0199i | −1.06257 | + | 0.284715i | ||||
\(124\) | −82.1941 | + | 47.4548i | −0.662856 | + | 0.382700i | ||||
\(125\) | 122.002 | + | 27.2136i | 0.976014 | + | 0.217709i | ||||
\(126\) | 6.57550 | − | 28.9614i | 0.0521865 | − | 0.229852i | ||||
\(127\) | 47.9961 | − | 47.9961i | 0.377922 | − | 0.377922i | −0.492430 | − | 0.870352i | \(-0.663891\pi\) |
0.870352 | + | 0.492430i | \(0.163891\pi\) | |||||||
\(128\) | 2.92820 | − | 10.9282i | 0.0228766 | − | 0.0853766i | ||||
\(129\) | 26.0293 | + | 15.0280i | 0.201778 | + | 0.116496i | ||||
\(130\) | 40.5823 | + | 83.9167i | 0.312171 | + | 0.645513i | ||||
\(131\) | 84.1928 | + | 145.826i | 0.642693 | + | 1.11318i | 0.984829 | + | 0.173527i | \(0.0555164\pi\) |
−0.342136 | + | 0.939651i | \(0.611150\pi\) | |||||||
\(132\) | 0.919654 | − | 0.919654i | 0.00696708 | − | 0.00696708i | ||||
\(133\) | 2.01426 | + | 52.2371i | 0.0151448 | + | 0.392760i | ||||
\(134\) | − | 126.605i | − | 0.944811i | ||||||
\(135\) | −19.6648 | + | 16.9793i | −0.145665 | + | 0.125772i | ||||
\(136\) | 43.5593 | − | 75.4469i | 0.320289 | − | 0.554757i | ||||
\(137\) | 36.8767 | + | 137.626i | 0.269173 | + | 1.00457i | 0.959646 | + | 0.281210i | \(0.0907358\pi\) |
−0.690473 | + | 0.723358i | \(0.742598\pi\) | |||||||
\(138\) | −25.2308 | + | 94.1628i | −0.182832 | + | 0.682339i | ||||
\(139\) | − | 142.573i | − | 1.02570i | −0.858478 | − | 0.512851i | \(-0.828589\pi\) | ||
0.858478 | − | 0.512851i | \(-0.171411\pi\) | |||||||
\(140\) | −61.7967 | + | 32.8811i | −0.441405 | + | 0.234865i | ||||
\(141\) | 20.5041 | 0.145419 | ||||||||
\(142\) | −87.9641 | − | 23.5699i | −0.619465 | − | 0.165985i | ||||
\(143\) | 4.78069 | − | 1.28098i | 0.0334314 | − | 0.00895792i | ||||
\(144\) | 10.3923 | + | 6.00000i | 0.0721688 | + | 0.0416667i | ||||
\(145\) | −8.05846 | + | 109.959i | −0.0555756 | + | 0.758336i | ||||
\(146\) | 17.1134 | 0.117215 | ||||||||
\(147\) | 64.4556 | + | 55.2130i | 0.438473 | + | 0.375599i | ||||
\(148\) | −8.64995 | − | 8.64995i | −0.0584456 | − | 0.0584456i | ||||
\(149\) | 108.686 | − | 62.7499i | 0.729437 | − | 0.421140i | −0.0887794 | − | 0.996051i | \(-0.528297\pi\) |
0.818216 | + | 0.574911i | \(0.194963\pi\) | |||||||
\(150\) | 60.5830 | + | 8.92774i | 0.403886 | + | 0.0595183i | ||||
\(151\) | −70.3253 | + | 121.807i | −0.465730 | + | 0.806669i | −0.999234 | − | 0.0391290i | \(-0.987542\pi\) |
0.533504 | + | 0.845798i | \(0.320875\pi\) | |||||||
\(152\) | −20.4029 | − | 5.46695i | −0.134230 | − | 0.0359667i | ||||
\(153\) | 65.3389 | + | 65.3389i | 0.427052 | + | 0.427052i | ||||
\(154\) | 1.09958 | + | 3.55036i | 0.00714013 | + | 0.0230543i | ||||
\(155\) | −133.339 | + | 196.264i | −0.860249 | + | 1.26622i | ||||
\(156\) | 22.8328 | + | 39.5475i | 0.146364 | + | 0.253510i | ||||
\(157\) | −13.3721 | − | 49.9055i | −0.0851729 | − | 0.317870i | 0.910174 | − | 0.414226i | \(-0.135948\pi\) |
−0.995347 | + | 0.0963566i | \(0.969281\pi\) | |||||||
\(158\) | 49.5087 | − | 13.2658i | 0.313346 | − | 0.0839608i | ||||
\(159\) | −6.11495 | + | 3.53047i | −0.0384588 | + | 0.0222042i | ||||
\(160\) | −5.30407 | − | 27.7825i | −0.0331504 | − | 0.173641i | ||||
\(161\) | −204.433 | − | 189.253i | −1.26977 | − | 1.17548i | ||||
\(162\) | −9.00000 | + | 9.00000i | −0.0555556 | + | 0.0555556i | ||||
\(163\) | −12.5854 | + | 46.9692i | −0.0772108 | + | 0.288155i | −0.993726 | − | 0.111846i | \(-0.964324\pi\) |
0.916515 | + | 0.400001i | \(0.130990\pi\) | |||||||
\(164\) | 135.307 | + | 78.1193i | 0.825040 | + | 0.476337i | ||||
\(165\) | 1.06884 | − | 3.07077i | 0.00647784 | − | 0.0186107i | ||||
\(166\) | 94.4289 | + | 163.556i | 0.568849 | + | 0.985275i | ||||
\(167\) | 145.174 | − | 145.174i | 0.869303 | − | 0.869303i | −0.123092 | − | 0.992395i | \(-0.539281\pi\) |
0.992395 | + | 0.123092i | \(0.0392810\pi\) | |||||||
\(168\) | −29.0158 | + | 18.2780i | −0.172713 | + | 0.108798i | ||||
\(169\) | 4.77853i | 0.0282753i | ||||||||
\(170\) | 15.9188 | − | 217.214i | 0.0936399 | − | 1.27773i | ||||
\(171\) | 11.2020 | − | 19.4024i | 0.0655086 | − | 0.113464i | ||||
\(172\) | −8.98251 | − | 33.5232i | −0.0522239 | − | 0.194902i | ||||
\(173\) | 45.0285 | − | 168.049i | 0.260280 | − | 0.971379i | −0.704796 | − | 0.709410i | \(-0.748961\pi\) |
0.965076 | − | 0.261969i | \(-0.0843719\pi\) | |||||||
\(174\) | 54.0130i | 0.310420i | ||||||||
\(175\) | −103.294 | + | 141.264i | −0.590250 | + | 0.807220i | ||||
\(176\) | −1.50179 | −0.00853289 | ||||||||
\(177\) | −5.55369 | − | 1.48811i | −0.0313768 | − | 0.00840738i | ||||
\(178\) | 80.0949 | − | 21.4614i | 0.449971 | − | 0.120569i | ||||
\(179\) | −19.7474 | − | 11.4012i | −0.110321 | − | 0.0636936i | 0.443824 | − | 0.896114i | \(-0.353621\pi\) |
−0.554145 | + | 0.832420i | \(0.686955\pi\) | |||||||
\(180\) | 29.9198 | + | 2.19271i | 0.166221 | + | 0.0121817i | ||||
\(181\) | −232.706 | −1.28567 | −0.642835 | − | 0.766005i | \(-0.722242\pi\) | ||||
−0.642835 | + | 0.766005i | \(0.722242\pi\) | |||||||
\(182\) | −130.403 | + | 5.02834i | −0.716501 | + | 0.0276283i | ||||
\(183\) | 108.447 | + | 108.447i | 0.592606 | + | 0.592606i | ||||
\(184\) | 97.4845 | − | 56.2827i | 0.529807 | − | 0.305884i | ||||
\(185\) | −28.8826 | − | 10.0532i | −0.156122 | − | 0.0543415i | ||||
\(186\) | −58.1200 | + | 100.667i | −0.312473 | + | 0.541219i | ||||
\(187\) | −11.1701 | − | 2.99303i | −0.0597334 | − | 0.0160055i | ||||
\(188\) | −16.7415 | − | 16.7415i | −0.0890505 | − | 0.0890505i | ||||
\(189\) | −10.7608 | − | 34.7449i | −0.0569354 | − | 0.183835i | ||||
\(190\) | −51.8698 | + | 9.90267i | −0.272999 | + | 0.0521193i | ||||
\(191\) | −30.6491 | − | 53.0858i | −0.160466 | − | 0.277936i | 0.774570 | − | 0.632489i | \(-0.217967\pi\) |
−0.935036 | + | 0.354553i | \(0.884633\pi\) | |||||||
\(192\) | −3.58630 | − | 13.3843i | −0.0186787 | − | 0.0697097i | ||||
\(193\) | 301.465 | − | 80.7774i | 1.56200 | − | 0.418536i | 0.628701 | − | 0.777647i | \(-0.283587\pi\) |
0.933295 | + | 0.359112i | \(0.116920\pi\) | |||||||
\(194\) | −97.0205 | + | 56.0148i | −0.500106 | + | 0.288736i | ||||
\(195\) | 94.4322 | + | 64.1556i | 0.484268 | + | 0.329003i | ||||
\(196\) | −7.54653 | − | 97.7090i | −0.0385027 | − | 0.498515i | ||||
\(197\) | −80.4508 | + | 80.4508i | −0.408380 | + | 0.408380i | −0.881173 | − | 0.472794i | \(-0.843246\pi\) |
0.472794 | + | 0.881173i | \(0.343246\pi\) | |||||||
\(198\) | 0.412270 | − | 1.53861i | 0.00208217 | − | 0.00777077i | ||||
\(199\) | −88.7801 | − | 51.2572i | −0.446131 | − | 0.257574i | 0.260064 | − | 0.965591i | \(-0.416256\pi\) |
−0.706195 | + | 0.708017i | \(0.749590\pi\) | |||||||
\(200\) | −42.1763 | − | 56.7553i | −0.210882 | − | 0.283776i | ||||
\(201\) | −77.5292 | − | 134.284i | −0.385717 | − | 0.668082i | ||||
\(202\) | −105.057 | + | 105.057i | −0.520082 | + | 0.520082i | ||||
\(203\) | −136.550 | − | 71.9695i | −0.672659 | − | 0.354530i | ||||
\(204\) | − | 106.698i | − | 0.523029i | ||||||
\(205\) | 389.552 | + | 28.5488i | 1.90025 | + | 0.139262i | ||||
\(206\) | −109.753 | + | 190.098i | −0.532784 | + | 0.922808i | ||||
\(207\) | 30.9013 | + | 115.325i | 0.149282 | + | 0.557127i | ||||
\(208\) | 13.6475 | − | 50.9333i | 0.0656132 | − | 0.244872i | ||||
\(209\) | 2.80384i | 0.0134155i | ||||||||
\(210\) | −45.4099 | + | 72.7182i | −0.216238 | + | 0.346277i | ||||
\(211\) | 71.6773 | 0.339703 | 0.169851 | − | 0.985470i | \(-0.445671\pi\) | ||||
0.169851 | + | 0.985470i | \(0.445671\pi\) | |||||||
\(212\) | 7.87545 | + | 2.11022i | 0.0371483 | + | 0.00995387i | ||||
\(213\) | −107.734 | + | 28.8671i | −0.505791 | + | 0.135526i | ||||
\(214\) | −155.575 | − | 89.8211i | −0.726984 | − | 0.419725i | ||||
\(215\) | −56.7034 | − | 65.6718i | −0.263737 | − | 0.305450i | ||||
\(216\) | 14.6969 | 0.0680414 | ||||||||
\(217\) | −177.053 | − | 281.066i | −0.815913 | − | 1.29524i | ||||
\(218\) | −45.7786 | − | 45.7786i | −0.209994 | − | 0.209994i | ||||
\(219\) | 18.1515 | − | 10.4798i | 0.0828837 | − | 0.0478530i | ||||
\(220\) | −3.37998 | + | 1.63457i | −0.0153635 | + | 0.00742984i | ||||
\(221\) | 203.018 | − | 351.637i | 0.918632 | − | 1.59112i | ||||
\(222\) | −14.4717 | − | 3.87767i | −0.0651876 | − | 0.0174670i | ||||
\(223\) | 20.6150 | + | 20.6150i | 0.0924442 | + | 0.0924442i | 0.751817 | − | 0.659372i | \(-0.229178\pi\) |
−0.659372 | + | 0.751817i | \(0.729178\pi\) | |||||||
\(224\) | 38.6152 | + | 8.76733i | 0.172389 | + | 0.0391399i | ||||
\(225\) | 69.7250 | − | 27.6300i | 0.309889 | − | 0.122800i | ||||
\(226\) | 85.7539 | + | 148.530i | 0.379442 | + | 0.657213i | ||||
\(227\) | −105.042 | − | 392.022i | −0.462740 | − | 1.72697i | −0.664276 | − | 0.747488i | \(-0.731260\pi\) |
0.201536 | − | 0.979481i | \(-0.435407\pi\) | |||||||
\(228\) | −24.9884 | + | 6.69561i | −0.109598 | + | 0.0293667i | ||||
\(229\) | −149.768 | + | 86.4685i | −0.654008 | + | 0.377592i | −0.789990 | − | 0.613120i | \(-0.789914\pi\) |
0.135982 | + | 0.990711i | \(0.456581\pi\) | |||||||
\(230\) | 158.143 | − | 232.775i | 0.687579 | − | 1.01207i | ||||
\(231\) | 3.34042 | + | 3.09238i | 0.0144607 | + | 0.0133869i | ||||
\(232\) | 44.1014 | − | 44.1014i | 0.190092 | − | 0.190092i | ||||
\(233\) | −23.5059 | + | 87.7253i | −0.100884 | + | 0.376503i | −0.997846 | − | 0.0656045i | \(-0.979102\pi\) |
0.896962 | + | 0.442108i | \(0.145769\pi\) | |||||||
\(234\) | 48.4356 | + | 27.9643i | 0.206990 | + | 0.119506i | ||||
\(235\) | −55.9006 | − | 19.4574i | −0.237875 | − | 0.0827973i | ||||
\(236\) | 3.31953 | + | 5.74960i | 0.0140658 | + | 0.0243627i | ||||
\(237\) | 44.3882 | − | 44.3882i | 0.187292 | − | 0.187292i | ||||
\(238\) | 269.742 | + | 142.170i | 1.13337 | + | 0.597351i | ||||
\(239\) | 307.147i | 1.28513i | 0.766230 | + | 0.642567i | \(0.222130\pi\) | ||||
−0.766230 | + | 0.642567i | \(0.777870\pi\) | |||||||
\(240\) | −22.6390 | − | 26.2197i | −0.0943294 | − | 0.109249i | ||||
\(241\) | −44.1804 | + | 76.5228i | −0.183321 | + | 0.317522i | −0.943010 | − | 0.332766i | \(-0.892018\pi\) |
0.759688 | + | 0.650287i | \(0.225352\pi\) | |||||||
\(242\) | −44.2375 | − | 165.097i | −0.182799 | − | 0.682217i | ||||
\(243\) | −4.03459 | + | 15.0573i | −0.0166032 | + | 0.0619642i | ||||
\(244\) | − | 177.093i | − | 0.725791i | ||||||
\(245\) | −123.332 | − | 211.694i | −0.503396 | − | 0.864056i | ||||
\(246\) | 191.352 | 0.777855 | ||||||||
\(247\) | −95.0923 | − | 25.4799i | −0.384989 | − | 0.103158i | ||||
\(248\) | 129.649 | − | 34.7393i | 0.522778 | − | 0.140078i | ||||
\(249\) | 200.314 | + | 115.651i | 0.804474 | + | 0.464463i | ||||
\(250\) | −156.697 | − | 81.8302i | −0.626786 | − | 0.327321i | ||||
\(251\) | −140.207 | −0.558592 | −0.279296 | − | 0.960205i | \(-0.590101\pi\) | ||||
−0.279296 | + | 0.960205i | \(0.590101\pi\) | |||||||
\(252\) | −19.5829 | + | 37.1552i | −0.0777099 | + | 0.147441i | ||||
\(253\) | −10.5656 | − | 10.5656i | −0.0417612 | − | 0.0417612i | ||||
\(254\) | −83.1317 | + | 47.9961i | −0.327290 | + | 0.188961i | ||||
\(255\) | −116.131 | − | 240.138i | −0.455417 | − | 0.941719i | ||||
\(256\) | −8.00000 | + | 13.8564i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 227.382 | + | 60.9269i | 0.884757 | + | 0.237070i | 0.672458 | − | 0.740135i | \(-0.265238\pi\) |
0.212298 | + | 0.977205i | \(0.431905\pi\) | |||||||
\(258\) | −30.0561 | − | 30.0561i | −0.116496 | − | 0.116496i | ||||
\(259\) | 29.0858 | − | 31.4189i | 0.112300 | − | 0.121308i | ||||
\(260\) | −24.7208 | − | 129.486i | −0.0950799 | − | 0.498025i | ||||
\(261\) | 33.0761 | + | 57.2895i | 0.126728 | + | 0.219500i | ||||
\(262\) | −61.6334 | − | 230.019i | −0.235242 | − | 0.877935i | ||||
\(263\) | 65.4304 | − | 17.5320i | 0.248785 | − | 0.0666617i | −0.132272 | − | 0.991214i | \(-0.542227\pi\) |
0.381056 | + | 0.924552i | \(0.375560\pi\) | |||||||
\(264\) | −1.59289 | + | 0.919654i | −0.00603367 | + | 0.00348354i | ||||
\(265\) | 20.0216 | − | 3.82239i | 0.0755530 | − | 0.0144241i | ||||
\(266\) | 16.3686 | − | 72.0944i | 0.0615360 | − | 0.271032i | ||||
\(267\) | 71.8111 | − | 71.8111i | 0.268955 | − | 0.268955i | ||||
\(268\) | −46.3405 | + | 172.945i | −0.172912 | + | 0.645318i | ||||
\(269\) | 206.056 | + | 118.966i | 0.766008 | + | 0.442255i | 0.831449 | − | 0.555602i | \(-0.187512\pi\) |
−0.0654410 | + | 0.997856i | \(0.520845\pi\) | |||||||
\(270\) | 33.0775 | − | 15.9963i | 0.122509 | − | 0.0592456i | ||||
\(271\) | −35.7113 | − | 61.8537i | −0.131776 | − | 0.228243i | 0.792585 | − | 0.609761i | \(-0.208735\pi\) |
−0.924361 | + | 0.381518i | \(0.875401\pi\) | |||||||
\(272\) | −87.1186 | + | 87.1186i | −0.320289 | + | 0.320289i | ||||
\(273\) | −135.234 | + | 85.1887i | −0.495364 | + | 0.312047i | ||||
\(274\) | − | 201.498i | − | 0.735395i | ||||||
\(275\) | −5.82802 | + | 7.35762i | −0.0211928 | + | 0.0267550i | ||||
\(276\) | 68.9319 | − | 119.394i | 0.249753 | − | 0.432586i | ||||
\(277\) | 80.4348 | + | 300.187i | 0.290379 | + | 1.08371i | 0.944819 | + | 0.327594i | \(0.106238\pi\) |
−0.654440 | + | 0.756114i | \(0.727096\pi\) | |||||||
\(278\) | −52.1852 | + | 194.758i | −0.187716 | + | 0.700567i | ||||
\(279\) | 142.364i | 0.510267i | ||||||||
\(280\) | 96.4512 | − | 22.2972i | 0.344469 | − | 0.0796328i | ||||
\(281\) | −78.2913 | −0.278617 | −0.139308 | − | 0.990249i | \(-0.544488\pi\) | ||||
−0.139308 | + | 0.990249i | \(0.544488\pi\) | |||||||
\(282\) | −28.0091 | − | 7.50500i | −0.0993229 | − | 0.0266135i | ||||
\(283\) | 304.258 | − | 81.5257i | 1.07512 | − | 0.288077i | 0.322523 | − | 0.946562i | \(-0.395469\pi\) |
0.752594 | + | 0.658485i | \(0.228802\pi\) | |||||||
\(284\) | 111.534 | + | 64.3942i | 0.392725 | + | 0.226740i | ||||
\(285\) | −48.9521 | + | 42.2670i | −0.171762 | + | 0.148305i | ||||
\(286\) | −6.99942 | −0.0244735 | ||||||||
\(287\) | −254.967 | + | 483.757i | −0.888387 | + | 1.68556i | ||||
\(288\) | −12.0000 | − | 12.0000i | −0.0416667 | − | 0.0416667i | ||||
\(289\) | −571.322 | + | 329.853i | −1.97689 | + | 1.14136i | ||||
\(290\) | 51.2557 | − | 147.257i | 0.176744 | − | 0.507782i | ||||
\(291\) | −68.6039 | + | 118.825i | −0.235752 | + | 0.408335i | ||||
\(292\) | −23.3774 | − | 6.26395i | −0.0800596 | − | 0.0214519i | ||||
\(293\) | 18.2834 | + | 18.2834i | 0.0624008 | + | 0.0624008i | 0.737618 | − | 0.675218i | \(-0.235950\pi\) |
−0.675218 | + | 0.737618i | \(0.735950\pi\) | |||||||
\(294\) | −67.8386 | − | 99.0148i | −0.230744 | − | 0.336785i | ||||
\(295\) | 13.7290 | + | 9.32723i | 0.0465389 | + | 0.0316177i | ||||
\(296\) | 8.64995 | + | 14.9822i | 0.0292228 | + | 0.0506154i | ||||
\(297\) | −0.504925 | − | 1.88441i | −0.00170009 | − | 0.00634480i | ||||
\(298\) | −171.436 | + | 45.9361i | −0.575289 | + | 0.154148i | ||||
\(299\) | 454.348 | − | 262.318i | 1.51956 | − | 0.877317i | ||||
\(300\) | −79.4901 | − | 34.3704i | −0.264967 | − | 0.114568i | ||||
\(301\) | 116.033 | − | 35.9364i | 0.385491 | − | 0.119390i | ||||
\(302\) | 140.651 | − | 140.651i | 0.465730 | − | 0.465730i | ||||
\(303\) | −47.0956 | + | 175.763i | −0.155431 | + | 0.580077i | ||||
\(304\) | 25.8699 | + | 14.9360i | 0.0850982 | + | 0.0491315i | ||||
\(305\) | −192.750 | − | 398.572i | −0.631968 | − | 1.30679i | ||||
\(306\) | −65.3389 | − | 113.170i | −0.213526 | − | 0.369838i | ||||
\(307\) | 93.0997 | − | 93.0997i | 0.303256 | − | 0.303256i | −0.539030 | − | 0.842286i | \(-0.681209\pi\) |
0.842286 | + | 0.539030i | \(0.181209\pi\) | |||||||
\(308\) | −0.202531 | − | 5.25236i | −0.000657567 | − | 0.0170531i | ||||
\(309\) | 268.840i | 0.870032i | ||||||||
\(310\) | 253.982 | − | 219.297i | 0.819296 | − | 0.707409i | ||||
\(311\) | −253.781 | + | 439.562i | −0.816017 | + | 1.41338i | 0.0925788 | + | 0.995705i | \(0.470489\pi\) |
−0.908596 | + | 0.417677i | \(0.862844\pi\) | |||||||
\(312\) | −16.7148 | − | 62.3803i | −0.0535729 | − | 0.199937i | ||||
\(313\) | 103.049 | − | 384.584i | 0.329230 | − | 1.22870i | −0.580761 | − | 0.814074i | \(-0.697245\pi\) |
0.909991 | − | 0.414629i | \(-0.136089\pi\) | |||||||
\(314\) | 73.0668i | 0.232697i | ||||||||
\(315\) | −3.63380 | + | 104.937i | −0.0115359 | + | 0.333134i | ||||
\(316\) | −72.4857 | −0.229385 | ||||||||
\(317\) | 208.697 | + | 55.9201i | 0.658349 | + | 0.176404i | 0.572501 | − | 0.819904i | \(-0.305973\pi\) |
0.0858484 | + | 0.996308i | \(0.472640\pi\) | |||||||
\(318\) | 9.64542 | − | 2.58448i | 0.0303315 | − | 0.00812730i | ||||
\(319\) | −7.16972 | − | 4.13944i | −0.0224756 | − | 0.0129763i | ||||
\(320\) | −2.92361 | + | 39.8930i | −0.00913628 | + | 0.124666i | ||||
\(321\) | −220.016 | −0.685407 | ||||||||
\(322\) | 209.990 | + | 333.352i | 0.652142 | + | 1.03525i | ||||
\(323\) | 162.650 | + | 162.650i | 0.503561 | + | 0.503561i | ||||
\(324\) | 15.5885 | − | 9.00000i | 0.0481125 | − | 0.0277778i | ||||
\(325\) | −196.572 | − | 264.520i | −0.604837 | − | 0.813909i | ||||
\(326\) | 34.3839 | − | 59.5546i | 0.105472 | − | 0.182683i | ||||
\(327\) | −76.5891 | − | 20.5220i | −0.234218 | − | 0.0627584i | ||||
\(328\) | −156.239 | − | 156.239i | −0.476337 | − | 0.476337i | ||||
\(329\) | 56.2939 | − | 60.8094i | 0.171106 | − | 0.184831i | ||||
\(330\) | −2.58405 | + | 3.80353i | −0.00783045 | + | 0.0115258i | ||||
\(331\) | −35.1679 | − | 60.9126i | −0.106247 | − | 0.184026i | 0.808000 | − | 0.589183i | \(-0.200550\pi\) |
−0.914247 | + | 0.405157i | \(0.867217\pi\) | |||||||
\(332\) | −69.1267 | − | 257.985i | −0.208213 | − | 0.777062i | ||||
\(333\) | −17.7241 | + | 4.74915i | −0.0532255 | + | 0.0142617i | ||||
\(334\) | −251.448 | + | 145.174i | −0.752839 | + | 0.434652i | ||||
\(335\) | 83.9399 | + | 439.674i | 0.250567 | + | 1.31246i | ||||
\(336\) | 46.3265 | − | 14.3477i | 0.137876 | − | 0.0427016i | ||||
\(337\) | 50.1616 | − | 50.1616i | 0.148848 | − | 0.148848i | −0.628755 | − | 0.777603i | \(-0.716435\pi\) |
0.777603 | + | 0.628755i | \(0.216435\pi\) | |||||||
\(338\) | 1.74906 | − | 6.52759i | 0.00517474 | − | 0.0193124i | ||||
\(339\) | 181.911 | + | 105.027i | 0.536612 | + | 0.309813i | ||||
\(340\) | −101.251 | + | 290.893i | −0.297798 | + | 0.855568i | ||||
\(341\) | −8.90839 | − | 15.4298i | −0.0261243 | − | 0.0452486i | ||||
\(342\) | −22.4040 | + | 22.4040i | −0.0655086 | + | 0.0655086i | ||||
\(343\) | 340.710 | − | 39.5702i | 0.993323 | − | 0.115365i | ||||
\(344\) | 49.0814i | 0.142678i | ||||||||
\(345\) | 25.1912 | − | 343.738i | 0.0730181 | − | 0.996341i | ||||
\(346\) | −123.020 | + | 213.077i | −0.355550 | + | 0.615830i | ||||
\(347\) | 31.8622 | + | 118.911i | 0.0918218 | + | 0.342684i | 0.996518 | − | 0.0833727i | \(-0.0265692\pi\) |
−0.904697 | + | 0.426056i | \(0.859903\pi\) | |||||||
\(348\) | 19.7701 | − | 73.7831i | 0.0568107 | − | 0.212021i | ||||
\(349\) | 623.821i | 1.78745i | 0.448613 | + | 0.893726i | \(0.351918\pi\) | ||||
−0.448613 | + | 0.893726i | \(0.648082\pi\) | |||||||
\(350\) | 192.808 | − | 155.161i | 0.550880 | − | 0.443318i | ||||
\(351\) | 68.4983 | 0.195152 | ||||||||
\(352\) | 2.05148 | + | 0.549693i | 0.00582808 | + | 0.00156163i | ||||
\(353\) | −509.421 | + | 136.499i | −1.44312 | + | 0.386682i | −0.893624 | − | 0.448816i | \(-0.851846\pi\) |
−0.549493 | + | 0.835498i | \(0.685179\pi\) | |||||||
\(354\) | 7.04179 | + | 4.06558i | 0.0198921 | + | 0.0114847i | ||||
\(355\) | 321.110 | + | 23.5329i | 0.904534 | + | 0.0662899i | ||||
\(356\) | −117.267 | −0.329402 | ||||||||
\(357\) | 373.166 | − | 14.3893i | 1.04528 | − | 0.0403060i | ||||
\(358\) | 22.8023 | + | 22.8023i | 0.0636936 | + | 0.0636936i | ||||
\(359\) | −40.2571 | + | 23.2425i | −0.112137 | + | 0.0647423i | −0.555019 | − | 0.831837i | \(-0.687289\pi\) |
0.442883 | + | 0.896580i | \(0.353956\pi\) | |||||||
\(360\) | −40.0686 | − | 13.9467i | −0.111302 | − | 0.0387408i | ||||
\(361\) | −152.615 | + | 264.336i | −0.422755 | + | 0.732233i | ||||
\(362\) | 317.882 | + | 85.1764i | 0.878128 | + | 0.235294i | ||||
\(363\) | −148.021 | − | 148.021i | −0.407773 | − | 0.407773i | ||||
\(364\) | 179.975 | + | 40.8621i | 0.494436 | + | 0.112258i | ||||
\(365\) | −59.4317 | + | 11.3464i | −0.162827 | + | 0.0310859i | ||||
\(366\) | −108.447 | − | 187.836i | −0.296303 | − | 0.513212i | ||||
\(367\) | −78.5019 | − | 292.973i | −0.213902 | − | 0.798292i | −0.986550 | − | 0.163458i | \(-0.947735\pi\) |
0.772649 | − | 0.634834i | \(-0.218931\pi\) | |||||||
\(368\) | −153.767 | + | 41.2018i | −0.417846 | + | 0.111961i | ||||
\(369\) | 202.960 | − | 117.179i | 0.550027 | − | 0.317558i | ||||
\(370\) | 35.7746 | + | 24.3047i | 0.0966882 | + | 0.0656883i | ||||
\(371\) | −6.31821 | + | 27.8282i | −0.0170302 | + | 0.0750086i | ||||
\(372\) | 116.240 | − | 116.240i | 0.312473 | − | 0.312473i | ||||
\(373\) | −79.0648 | + | 295.074i | −0.211970 | + | 0.791082i | 0.775241 | + | 0.631665i | \(0.217628\pi\) |
−0.987211 | + | 0.159417i | \(0.949038\pi\) | |||||||
\(374\) | 14.1632 | + | 8.17711i | 0.0378694 | + | 0.0218639i | ||||
\(375\) | −216.312 | + | 9.16264i | −0.576833 | + | 0.0244337i | ||||
\(376\) | 16.7415 | + | 28.9971i | 0.0445252 | + | 0.0771200i | ||||
\(377\) | 205.544 | − | 205.544i | 0.545211 | − | 0.545211i | ||||
\(378\) | 1.98202 | + | 51.4011i | 0.00524345 | + | 0.135982i | ||||
\(379\) | − | 604.578i | − | 1.59519i | −0.603191 | − | 0.797597i | \(-0.706104\pi\) | ||
0.603191 | − | 0.797597i | \(-0.293896\pi\) | |||||||
\(380\) | 74.4801 | + | 5.45837i | 0.196000 | + | 0.0143641i | ||||
\(381\) | −58.7830 | + | 101.815i | −0.154286 | + | 0.267231i | ||||
\(382\) | 22.4367 | + | 83.7349i | 0.0587348 | + | 0.219201i | ||||
\(383\) | −94.2770 | + | 351.847i | −0.246154 | + | 0.918659i | 0.726646 | + | 0.687012i | \(0.241078\pi\) |
−0.972800 | + | 0.231647i | \(0.925589\pi\) | |||||||
\(384\) | 19.5959i | 0.0510310i | ||||||||
\(385\) | −6.17255 | − | 11.6007i | −0.0160326 | − | 0.0301317i | ||||
\(386\) | −441.376 | −1.14346 | ||||||||
\(387\) | −50.2848 | − | 13.4738i | −0.129935 | − | 0.0348159i | ||||
\(388\) | 153.035 | − | 41.0057i | 0.394421 | − | 0.105685i | ||||
\(389\) | −184.090 | − | 106.285i | −0.473240 | − | 0.273225i | 0.244355 | − | 0.969686i | \(-0.421424\pi\) |
−0.717595 | + | 0.696461i | \(0.754757\pi\) | |||||||
\(390\) | −105.514 | − | 122.203i | −0.270549 | − | 0.313340i | ||||
\(391\) | −1225.82 | −3.13508 | ||||||||
\(392\) | −25.4552 | + | 136.235i | −0.0649368 | + | 0.347539i | ||||
\(393\) | −206.229 | − | 206.229i | −0.524757 | − | 0.524757i | ||||
\(394\) | 139.345 | − | 80.4508i | 0.353667 | − | 0.204190i | ||||
\(395\) | −163.139 | + | 78.8943i | −0.413010 | + | 0.199732i | ||||
\(396\) | −1.12634 | + | 1.95088i | −0.00284430 | + | 0.00492647i | ||||
\(397\) | −26.0151 | − | 6.97072i | −0.0655292 | − | 0.0175585i | 0.225906 | − | 0.974149i | \(-0.427466\pi\) |
−0.291435 | + | 0.956591i | \(0.594133\pi\) | |||||||
\(398\) | 102.514 | + | 102.514i | 0.257574 | + | 0.257574i | ||||
\(399\) | −26.7872 | − | 86.4914i | −0.0671357 | − | 0.216770i | ||||
\(400\) | 36.8400 | + | 92.9667i | 0.0921001 | + | 0.232417i | ||||
\(401\) | 137.819 | + | 238.709i | 0.343688 | + | 0.595284i | 0.985114 | − | 0.171900i | \(-0.0549905\pi\) |
−0.641427 | + | 0.767184i | \(0.721657\pi\) | |||||||
\(402\) | 56.7553 | + | 211.814i | 0.141182 | + | 0.526900i | ||||
\(403\) | 604.257 | − | 161.910i | 1.49940 | − | 0.401762i | ||||
\(404\) | 181.963 | − | 105.057i | 0.450405 | − | 0.260041i | ||||
\(405\) | 25.2882 | − | 37.2224i | 0.0624401 | − | 0.0919071i | ||||
\(406\) | 160.188 | + | 148.293i | 0.394552 | + | 0.365253i | ||||
\(407\) | 1.62380 | − | 1.62380i | 0.00398968 | − | 0.00398968i | ||||
\(408\) | −39.0542 | + | 145.752i | −0.0957210 | + | 0.357236i | ||||
\(409\) | 663.911 | + | 383.309i | 1.62325 | + | 0.937186i | 0.986042 | + | 0.166498i | \(0.0532458\pi\) |
0.637212 | + | 0.770688i | \(0.280088\pi\) | |||||||
\(410\) | −521.688 | − | 181.584i | −1.27241 | − | 0.442888i | ||||
\(411\) | −123.392 | − | 213.721i | −0.300224 | − | 0.520003i | ||||
\(412\) | 219.507 | − | 219.507i | 0.532784 | − | 0.532784i | ||||
\(413\) | −19.6610 | + | 12.3851i | −0.0476053 | + | 0.0299882i | ||||
\(414\) | − | 168.848i | − | 0.407846i | ||||||
\(415\) | −436.373 | − | 505.391i | −1.05150 | − | 1.21781i | ||||
\(416\) | −37.2858 | + | 64.5808i | −0.0896292 | + | 0.155242i | ||||
\(417\) | 63.9135 | + | 238.528i | 0.153270 | + | 0.572011i | ||||
\(418\) | 1.02628 | − | 3.83011i | 0.00245520 | − | 0.00916294i | ||||
\(419\) | − | 19.8062i | − | 0.0472702i | −0.999721 | − | 0.0236351i | \(-0.992476\pi\) | ||
0.999721 | − | 0.0236351i | \(-0.00752399\pi\) | |||||||
\(420\) | 88.6478 | − | 82.7138i | 0.211066 | − | 0.196938i | ||||
\(421\) | 435.571 | 1.03461 | 0.517305 | − | 0.855801i | \(-0.326935\pi\) | ||||
0.517305 | + | 0.855801i | \(0.326935\pi\) | |||||||
\(422\) | −97.9130 | − | 26.2357i | −0.232021 | − | 0.0621699i | ||||
\(423\) | −34.3039 | + | 9.19172i | −0.0810968 | + | 0.0217298i | ||||
\(424\) | −9.98567 | − | 5.76523i | −0.0235511 | − | 0.0135972i | ||||
\(425\) | 88.7317 | + | 764.897i | 0.208780 | + | 1.79976i | ||||
\(426\) | 157.733 | 0.370265 | ||||||||
\(427\) | 619.365 | − | 23.8827i | 1.45050 | − | 0.0559314i | ||||
\(428\) | 179.642 | + | 179.642i | 0.419725 | + | 0.419725i | ||||
\(429\) | −7.42401 | + | 4.28625i | −0.0173054 | + | 0.00999126i | ||||
\(430\) | 53.4207 | + | 110.464i | 0.124234 | + | 0.256894i | ||||
\(431\) | 307.905 | − | 533.307i | 0.714396 | − | 1.23737i | −0.248796 | − | 0.968556i | \(-0.580035\pi\) |
0.963192 | − | 0.268815i | \(-0.0866319\pi\) | |||||||
\(432\) | −20.0764 | − | 5.37945i | −0.0464731 | − | 0.0124524i | ||||
\(433\) | 412.622 | + | 412.622i | 0.952937 | + | 0.952937i | 0.998941 | − | 0.0460046i | \(-0.0146489\pi\) |
−0.0460046 | + | 0.998941i | \(0.514649\pi\) | |||||||
\(434\) | 138.982 | + | 448.749i | 0.320234 | + | 1.03398i | ||||
\(435\) | −35.8111 | − | 187.577i | −0.0823243 | − | 0.431212i | ||||
\(436\) | 45.7786 | + | 79.2909i | 0.104997 | + | 0.181860i | ||||
\(437\) | 76.9236 | + | 287.083i | 0.176027 | + | 0.656940i | ||||
\(438\) | −28.6313 | + | 7.67174i | −0.0653684 | + | 0.0175154i | ||||
\(439\) | 169.189 | − | 97.6811i | 0.385396 | − | 0.222508i | −0.294768 | − | 0.955569i | \(-0.595242\pi\) |
0.680163 | + | 0.733061i | \(0.261909\pi\) | |||||||
\(440\) | 5.21543 | − | 0.995699i | 0.0118533 | − | 0.00226295i | ||||
\(441\) | −132.588 | − | 63.4785i | −0.300652 | − | 0.143942i | ||||
\(442\) | −406.035 | + | 406.035i | −0.918632 | + | 0.918632i | ||||
\(443\) | −155.905 | + | 581.846i | −0.351931 | + | 1.31342i | 0.532373 | + | 0.846510i | \(0.321301\pi\) |
−0.884303 | + | 0.466913i | \(0.845366\pi\) | |||||||
\(444\) | 18.3493 | + | 10.5940i | 0.0413273 | + | 0.0238603i | ||||
\(445\) | −263.925 | + | 127.635i | −0.593091 | + | 0.286820i | ||||
\(446\) | −20.6150 | − | 35.7063i | −0.0462221 | − | 0.0800590i | ||||
\(447\) | −153.705 | + | 153.705i | −0.343860 | + | 0.343860i | ||||
\(448\) | −49.5403 | − | 26.1105i | −0.110581 | − | 0.0582824i | ||||
\(449\) | 230.113i | 0.512501i | 0.966610 | + | 0.256251i | \(0.0824872\pi\) | ||||
−0.966610 | + | 0.256251i | \(0.917513\pi\) | |||||||
\(450\) | −105.359 | + | 12.2222i | −0.234132 | + | 0.0271604i | ||||
\(451\) | −14.6648 | + | 25.4003i | −0.0325163 | + | 0.0563199i | ||||
\(452\) | −62.7762 | − | 234.284i | −0.138885 | − | 0.518327i | ||||
\(453\) | 63.0519 | − | 235.313i | 0.139187 | − | 0.519455i | ||||
\(454\) | 573.960i | 1.26423i | ||||||||
\(455\) | 449.532 | − | 103.921i | 0.987983 | − | 0.228398i | ||||
\(456\) | 36.5855 | 0.0802314 | ||||||||
\(457\) | −812.288 | − | 217.652i | −1.77744 | − | 0.476262i | −0.787323 | − | 0.616540i | \(-0.788534\pi\) |
−0.990112 | + | 0.140278i | \(0.955200\pi\) | |||||||
\(458\) | 236.236 | − | 63.2994i | 0.515800 | − | 0.138208i | ||||
\(459\) | −138.605 | − | 80.0235i | −0.301971 | − | 0.174343i | ||||
\(460\) | −301.229 | + | 260.092i | −0.654846 | + | 0.565418i | ||||
\(461\) | 391.784 | 0.849856 | 0.424928 | − | 0.905227i | \(-0.360299\pi\) | ||||
0.424928 | + | 0.905227i | \(0.360299\pi\) | |||||||
\(462\) | −3.43122 | − | 5.44694i | −0.00742688 | − | 0.0117899i | ||||
\(463\) | −253.040 | − | 253.040i | −0.546523 | − | 0.546523i | 0.378911 | − | 0.925433i | \(-0.376299\pi\) |
−0.925433 | + | 0.378911i | \(0.876299\pi\) | |||||||
\(464\) | −76.3859 | + | 44.1014i | −0.164625 | + | 0.0950462i | ||||
\(465\) | 135.097 | − | 388.131i | 0.290531 | − | 0.834690i | ||||
\(466\) | 64.2193 | − | 111.231i | 0.137810 | − | 0.238693i | ||||
\(467\) | 749.215 | + | 200.751i | 1.60431 | + | 0.429875i | 0.946342 | − | 0.323167i | \(-0.104748\pi\) |
0.657972 | + | 0.753042i | \(0.271414\pi\) | |||||||
\(468\) | −55.9286 | − | 55.9286i | −0.119506 | − | 0.119506i | ||||
\(469\) | −611.108 | − | 138.748i | −1.30300 | − | 0.295838i | ||||
\(470\) | 69.2398 | + | 47.0403i | 0.147319 | + | 0.100086i | ||||
\(471\) | 44.7441 | + | 77.4990i | 0.0949980 | + | 0.164541i | ||||
\(472\) | −2.43007 | − | 9.06913i | −0.00514845 | − | 0.0192143i | ||||
\(473\) | 6.29310 | − | 1.68623i | 0.0133046 | − | 0.00356497i | ||||
\(474\) | −76.8827 | + | 44.3882i | −0.162200 | + | 0.0936461i | ||||
\(475\) | 173.569 | − | 68.7802i | 0.365407 | − | 0.144801i | ||||
\(476\) | −316.437 | − | 292.940i | −0.664784 | − | 0.615420i | ||||
\(477\) | 8.64784 | − | 8.64784i | 0.0181296 | − | 0.0181296i | ||||
\(478\) | 112.424 | − | 419.570i | 0.235196 | − | 0.877762i | ||||
\(479\) | −453.629 | − | 261.903i | −0.947033 | − | 0.546770i | −0.0548749 | − | 0.998493i | \(-0.517476\pi\) |
−0.892158 | + | 0.451724i | \(0.850809\pi\) | |||||||
\(480\) | 21.3284 | + | 44.1033i | 0.0444342 | + | 0.0918818i | ||||
\(481\) | 40.3150 | + | 69.8276i | 0.0838150 | + | 0.145172i | ||||
\(482\) | 88.3609 | − | 88.3609i | 0.183321 | − | 0.183321i | ||||
\(483\) | 426.863 | + | 224.981i | 0.883775 | + | 0.465800i | ||||
\(484\) | 241.718i | 0.499418i | ||||||||
\(485\) | 299.796 | − | 258.854i | 0.618135 | − | 0.533720i | ||||
\(486\) | 11.0227 | − | 19.0919i | 0.0226805 | − | 0.0392837i | ||||
\(487\) | −189.323 | − | 706.561i | −0.388753 | − | 1.45084i | −0.832166 | − | 0.554527i | \(-0.812899\pi\) |
0.443413 | − | 0.896317i | \(-0.353767\pi\) | |||||||
\(488\) | −64.8205 | + | 241.914i | −0.132829 | + | 0.495725i | ||||
\(489\) | − | 84.2229i | − | 0.172235i | ||||||
\(490\) | 90.9896 | + | 334.322i | 0.185693 | + | 0.682289i | ||||
\(491\) | 127.496 | 0.259666 | 0.129833 | − | 0.991536i | \(-0.458556\pi\) | ||||
0.129833 | + | 0.991536i | \(0.458556\pi\) | |||||||
\(492\) | −261.392 | − | 70.0399i | −0.531285 | − | 0.142357i | ||||
\(493\) | −656.043 | + | 175.786i | −1.33072 | + | 0.356564i | ||||
\(494\) | 120.572 | + | 69.6124i | 0.244073 | + | 0.140916i | ||||
\(495\) | −0.411623 | + | 5.61665i | −0.000831561 | + | 0.0113468i | ||||
\(496\) | −189.819 | −0.382700 | ||||||||
\(497\) | −210.171 | + | 398.763i | −0.422879 | + | 0.802341i | ||||
\(498\) | −231.303 | − | 231.303i | −0.464463 | − | 0.464463i | ||||
\(499\) | 361.313 | − | 208.604i | 0.724074 | − | 0.418044i | −0.0921761 | − | 0.995743i | \(-0.529382\pi\) |
0.816250 | + | 0.577698i | \(0.196049\pi\) | |||||||
\(500\) | 184.100 | + | 169.137i | 0.368199 | + | 0.338274i | ||||
\(501\) | −177.801 | + | 307.960i | −0.354892 | + | 0.614690i | ||||
\(502\) | 191.526 | + | 51.3192i | 0.381526 | + | 0.102229i | ||||
\(503\) | 184.123 | + | 184.123i | 0.366049 | + | 0.366049i | 0.866034 | − | 0.499985i | \(-0.166661\pi\) |
−0.499985 | + | 0.866034i | \(0.666661\pi\) | |||||||
\(504\) | 40.3505 | − | 43.5871i | 0.0800605 | − | 0.0864824i | ||||
\(505\) | 295.189 | − | 434.495i | 0.584532 | − | 0.860387i | ||||
\(506\) | 10.5656 | + | 18.3001i | 0.0208806 | + | 0.0361663i | ||||
\(507\) | −2.14216 | − | 7.99463i | −0.00422516 | − | 0.0157685i | ||||
\(508\) | 131.128 | − | 35.1356i | 0.258126 | − | 0.0691646i | ||||
\(509\) | 165.126 | − | 95.3357i | 0.324413 | − | 0.187300i | −0.328945 | − | 0.944349i | \(-0.606693\pi\) |
0.653358 | + | 0.757049i | \(0.273360\pi\) | |||||||
\(510\) | 70.7417 | + | 370.542i | 0.138709 | + | 0.726553i | ||||
\(511\) | 18.7549 | − | 82.6049i | 0.0367023 | − | 0.161653i | ||||
\(512\) | 16.0000 | − | 16.0000i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | −10.0434 | + | 37.4826i | −0.0195778 | + | 0.0730654i | ||||
\(514\) | −288.309 | − | 166.456i | −0.560913 | − | 0.323843i | ||||
\(515\) | 255.116 | − | 732.944i | 0.495371 | − | 1.42319i | ||||
\(516\) | 30.0561 | + | 52.0586i | 0.0582482 | + | 0.100889i | ||||
\(517\) | 3.14277 | − | 3.14277i | 0.00607887 | − | 0.00607887i | ||||
\(518\) | −51.2321 | + | 32.2728i | −0.0989036 | + | 0.0623028i | ||||
\(519\) | 301.337i | 0.580610i | ||||||||
\(520\) | −13.6261 | + | 185.930i | −0.0262041 | + | 0.357558i | ||||
\(521\) | −111.708 | + | 193.483i | −0.214410 | + | 0.371369i | −0.953090 | − | 0.302688i | \(-0.902116\pi\) |
0.738680 | + | 0.674056i | \(0.235449\pi\) | |||||||
\(522\) | −24.2134 | − | 90.3655i | −0.0463858 | − | 0.173114i | ||||
\(523\) | 214.134 | − | 799.159i | 0.409434 | − | 1.52803i | −0.386295 | − | 0.922375i | \(-0.626245\pi\) |
0.795729 | − | 0.605653i | \(-0.207088\pi\) | |||||||
\(524\) | 336.771i | 0.642693i | ||||||||
\(525\) | 109.487 | − | 282.644i | 0.208547 | − | 0.538369i | ||||
\(526\) | −95.7967 | −0.182123 | ||||||||
\(527\) | −1411.85 | − | 378.305i | −2.67904 | − | 0.717846i | ||||
\(528\) | 2.51254 | − | 0.673234i | 0.00475860 | − | 0.00127506i | ||||
\(529\) | −913.545 | − | 527.435i | −1.72693 | − | 0.997042i | ||||
\(530\) | −28.7490 | − | 2.10691i | −0.0542435 | − | 0.00397530i | ||||
\(531\) | 9.95860 | 0.0187544 | ||||||||
\(532\) | −48.7483 | + | 92.4915i | −0.0916321 | + | 0.173856i | ||||
\(533\) | −728.185 | − | 728.185i | −1.36620 | − | 1.36620i | ||||
\(534\) | −124.380 | + | 71.8111i | −0.232922 | + | 0.134478i | ||||
\(535\) | 599.834 | + | 208.784i | 1.12118 | + | 0.390251i | ||||
\(536\) | 126.605 | − | 219.286i | 0.236203 | − | 0.409115i | ||||
\(537\) | 38.1490 | + | 10.2220i | 0.0710410 | + | 0.0190354i | ||||
\(538\) | −237.933 | − | 237.933i | −0.442255 | − | 0.442255i | ||||
\(539\) | 18.3423 | − | 1.41666i | 0.0340302 | − | 0.00262832i | ||||
\(540\) | −51.0397 | + | 9.74419i | −0.0945180 | + | 0.0180448i | ||||
\(541\) | −132.318 | − | 229.182i | −0.244581 | − | 0.423626i | 0.717433 | − | 0.696628i | \(-0.245317\pi\) |
−0.962014 | + | 0.273001i | \(0.911984\pi\) | |||||||
\(542\) | 26.1425 | + | 97.5650i | 0.0482333 | + | 0.180009i | ||||
\(543\) | 389.325 | − | 104.319i | 0.716989 | − | 0.192117i | ||||
\(544\) | 150.894 | − | 87.1186i | 0.277378 | − | 0.160144i | ||||
\(545\) | 189.332 | + | 128.629i | 0.347398 | + | 0.236016i | ||||
\(546\) | 215.915 | − | 66.8708i | 0.395448 | − | 0.122474i | ||||
\(547\) | 399.059 | − | 399.059i | 0.729540 | − | 0.729540i | −0.240988 | − | 0.970528i | \(-0.577471\pi\) |
0.970528 | + | 0.240988i | \(0.0774714\pi\) | |||||||
\(548\) | −73.7535 | + | 275.252i | −0.134587 | + | 0.502284i | ||||
\(549\) | −230.051 | − | 132.820i | −0.419036 | − | 0.241930i | ||||
\(550\) | 10.6543 | − | 7.91749i | 0.0193715 | − | 0.0143954i | ||||
\(551\) | 82.3372 | + | 142.612i | 0.149432 | + | 0.258824i | ||||
\(552\) | −137.864 | + | 137.864i | −0.249753 | + | 0.249753i | ||||
\(553\) | −9.77539 | − | 253.512i | −0.0176770 | − | 0.458430i | ||||
\(554\) | − | 439.504i | − | 0.793329i | ||||||
\(555\) | 52.8282 | + | 3.87158i | 0.0951860 | + | 0.00697582i | ||||
\(556\) | 142.573 | − | 246.943i | 0.256425 | − | 0.444142i | ||||
\(557\) | −122.018 | − | 455.378i | −0.219063 | − | 0.817554i | −0.984697 | − | 0.174277i | \(-0.944241\pi\) |
0.765634 | − | 0.643277i | \(-0.222426\pi\) | |||||||
\(558\) | 52.1090 | − | 194.473i | 0.0933853 | − | 0.348519i | ||||
\(559\) | 228.755i | 0.409221i | ||||||||
\(560\) | −139.916 | − | 4.84507i | −0.249850 | − | 0.00865192i | ||||
\(561\) | 20.0297 | 0.0357036 | ||||||||
\(562\) | 106.948 | + | 28.6566i | 0.190299 | + | 0.0509904i | ||||
\(563\) | 649.485 | − | 174.029i | 1.15361 | − | 0.309110i | 0.369202 | − | 0.929349i | \(-0.379631\pi\) |
0.784413 | + | 0.620239i | \(0.212965\pi\) | |||||||
\(564\) | 35.5141 | + | 20.5041i | 0.0629682 | + | 0.0363547i | ||||
\(565\) | −396.284 | − | 458.961i | −0.701387 | − | 0.812321i | ||||
\(566\) | −445.465 | −0.787041 | ||||||||
\(567\) | 33.5789 | + | 53.3053i | 0.0592220 | + | 0.0940130i | ||||
\(568\) | −128.788 | − | 128.788i | −0.226740 | − | 0.226740i | ||||
\(569\) | 928.455 | − | 536.044i | 1.63173 | − | 0.942080i | 0.648172 | − | 0.761494i | \(-0.275534\pi\) |
0.983559 | − | 0.180587i | \(-0.0577996\pi\) | |||||||
\(570\) | 82.3406 | − | 39.8201i | 0.144457 | − | 0.0698598i | ||||
\(571\) | 320.180 | − | 554.568i | 0.560735 | − | 0.971222i | −0.436697 | − | 0.899609i | \(-0.643852\pi\) |
0.997432 | − | 0.0716136i | \(-0.0228148\pi\) | |||||||
\(572\) | 9.56139 | + | 2.56197i | 0.0167157 | + | 0.00447896i | ||||
\(573\) | 75.0746 | + | 75.0746i | 0.131020 | + | 0.131020i | ||||
\(574\) | 525.359 | − | 567.499i | 0.915259 | − | 0.988675i | ||||
\(575\) | −394.870 | + | 913.234i | −0.686730 | + | 1.58823i | ||||
\(576\) | 12.0000 | + | 20.7846i | 0.0208333 | + | 0.0360844i | ||||
\(577\) | −182.218 | − | 680.047i | −0.315802 | − | 1.17859i | −0.923240 | − | 0.384223i | \(-0.874469\pi\) |
0.607438 | − | 0.794367i | \(-0.292197\pi\) | |||||||
\(578\) | 901.174 | − | 241.469i | 1.55913 | − | 0.417766i | ||||
\(579\) | −468.150 | + | 270.286i | −0.808549 | + | 0.466816i | ||||
\(580\) | −123.916 | + | 182.396i | −0.213649 | + | 0.314475i | ||||
\(581\) | 892.953 | − | 276.556i | 1.53692 | − | 0.475999i | ||||
\(582\) | 137.208 | − | 137.208i | 0.235752 | − | 0.235752i | ||||
\(583\) | −0.396138 | + | 1.47841i | −0.000679482 | + | 0.00253586i | ||||
\(584\) | 29.6413 | + | 17.1134i | 0.0507557 | + | 0.0293038i | ||||
\(585\) | −186.748 | − | 65.0016i | −0.319228 | − | 0.111114i | ||||
\(586\) | −18.2834 | − | 31.6678i | −0.0312004 | − | 0.0540406i | ||||
\(587\) | 5.11267 | − | 5.11267i | 0.00870982 | − | 0.00870982i | −0.702738 | − | 0.711448i | \(-0.748040\pi\) |
0.711448 | + | 0.702738i | \(0.248040\pi\) | |||||||
\(588\) | 56.4273 | + | 160.087i | 0.0959649 | + | 0.272257i | ||||
\(589\) | 354.392i | 0.601684i | ||||||||
\(590\) | −15.3401 | − | 17.7664i | −0.0260002 | − | 0.0301125i | ||||
\(591\) | 98.5317 | − | 170.662i | 0.166720 | − | 0.288768i | ||||
\(592\) | −6.33220 | − | 23.6321i | −0.0106963 | − | 0.0399191i | ||||
\(593\) | −78.7716 | + | 293.979i | −0.132836 | + | 0.495749i | −0.999997 | − | 0.00227715i | \(-0.999275\pi\) |
0.867162 | + | 0.498027i | \(0.165942\pi\) | |||||||
\(594\) | 2.75896i | 0.00464472i | ||||||||
\(595\) | −1031.02 | − | 314.887i | −1.73281 | − | 0.529221i | ||||
\(596\) | 251.000 | 0.421140 | ||||||||
\(597\) | 171.510 | + | 45.9560i | 0.287287 | + | 0.0769782i | ||||
\(598\) | −716.666 | + | 192.030i | −1.19844 | + | 0.321120i | ||||
\(599\) | −766.173 | − | 442.350i | −1.27909 | − | 0.738481i | −0.302406 | − | 0.953179i | \(-0.597790\pi\) |
−0.976680 | + | 0.214699i | \(0.931123\pi\) | |||||||
\(600\) | 96.0050 | + | 76.0463i | 0.160008 | + | 0.126744i | ||||
\(601\) | 297.022 | 0.494213 | 0.247106 | − | 0.968988i | \(-0.420520\pi\) | ||||
0.247106 | + | 0.968988i | \(0.420520\pi\) | |||||||
\(602\) | −171.657 | + | 6.61909i | −0.285145 | + | 0.0109952i | ||||
\(603\) | 189.907 | + | 189.907i | 0.314937 | + | 0.314937i | ||||
\(604\) | −243.614 | + | 140.651i | −0.403334 | + | 0.232865i | ||||
\(605\) | 263.089 | + | 544.019i | 0.434858 | + | 0.899205i | ||||
\(606\) | 128.668 | − | 222.859i | 0.212323 | − | 0.367754i | ||||
\(607\) | 187.910 | + | 50.3503i | 0.309572 | + | 0.0829495i | 0.410260 | − | 0.911969i | \(-0.365438\pi\) |
−0.100689 | + | 0.994918i | \(0.532105\pi\) | |||||||
\(608\) | −29.8719 | − | 29.8719i | −0.0491315 | − | 0.0491315i | ||||
\(609\) | 260.715 | + | 59.1937i | 0.428104 | + | 0.0971982i | ||||
\(610\) | 117.414 | + | 615.011i | 0.192482 | + | 1.00821i | ||||
\(611\) | 78.0274 | + | 135.147i | 0.127704 | + | 0.221191i | ||||
\(612\) | 47.8314 | + | 178.509i | 0.0781559 | + | 0.291682i | ||||
\(613\) | −1057.91 | + | 283.467i | −1.72580 | + | 0.462426i | −0.979208 | − | 0.202857i | \(-0.934977\pi\) |
−0.746591 | + | 0.665284i | \(0.768311\pi\) | |||||||
\(614\) | −161.253 | + | 93.0997i | −0.262628 | + | 0.151628i | ||||
\(615\) | −664.531 | + | 126.868i | −1.08054 | + | 0.206290i | ||||
\(616\) | −1.64583 | + | 7.24899i | −0.00267181 | + | 0.0117678i | ||||
\(617\) | −775.030 | + | 775.030i | −1.25613 | + | 1.25613i | −0.303200 | + | 0.952927i | \(0.598055\pi\) |
−0.952927 | + | 0.303200i | \(0.901945\pi\) | |||||||
\(618\) | 98.4022 | − | 367.242i | 0.159227 | − | 0.594243i | ||||
\(619\) | 29.3925 | + | 16.9698i | 0.0474839 | + | 0.0274148i | 0.523554 | − | 0.851992i | \(-0.324606\pi\) |
−0.476070 | + | 0.879407i | \(0.657939\pi\) | |||||||
\(620\) | −427.214 | + | 206.601i | −0.689054 | + | 0.333228i | ||||
\(621\) | −103.398 | − | 179.090i | −0.166502 | − | 0.288390i | ||||
\(622\) | 507.562 | − | 507.562i | 0.816017 | − | 0.816017i | ||||
\(623\) | −15.8146 | − | 410.130i | −0.0253846 | − | 0.658314i | ||||
\(624\) | 91.3311i | 0.146364i | ||||||||
\(625\) | 598.432 | + | 180.290i | 0.957491 | + | 0.288464i | ||||
\(626\) | −281.535 | + | 487.633i | −0.449737 | + | 0.778967i | ||||
\(627\) | −1.25693 | − | 4.69091i | −0.00200467 | − | 0.00748151i | ||||
\(628\) | 26.7443 | − | 99.8110i | 0.0425864 | − | 0.158935i | ||||
\(629\) | − | 188.393i | − | 0.299512i | ||||||
\(630\) | 43.3735 | − | 142.017i | 0.0688468 | − | 0.225423i | ||||
\(631\) | 608.079 | 0.963675 | 0.481837 | − | 0.876261i | \(-0.339970\pi\) | ||||
0.481837 | + | 0.876261i | \(0.339970\pi\) | |||||||
\(632\) | 99.0173 | + | 26.5316i | 0.156673 | + | 0.0419804i | ||||
\(633\) | −119.918 | + | 32.1320i | −0.189445 | + | 0.0507615i | ||||
\(634\) | −264.617 | − | 152.777i | −0.417377 | − | 0.240973i | ||||
\(635\) | 256.879 | − | 221.799i | 0.404534 | − | 0.349289i | ||||
\(636\) | −14.1219 | −0.0222042 | ||||||||
\(637\) | −118.640 | + | 634.954i | −0.186248 | + | 0.996788i | ||||
\(638\) | 8.27888 | + | 8.27888i | 0.0129763 | + | 0.0129763i | ||||
\(639\) | 167.301 | − | 96.5913i | 0.261817 | − | 0.151160i | ||||
\(640\) | 18.5956 | − | 53.4248i | 0.0290556 | − | 0.0834762i | ||||
\(641\) | −146.536 | + | 253.807i | −0.228605 | + | 0.395955i | −0.957395 | − | 0.288782i | \(-0.906750\pi\) |
0.728790 | + | 0.684737i | \(0.240083\pi\) | |||||||
\(642\) | 300.547 | + | 80.5314i | 0.468142 | + | 0.125438i | ||||
\(643\) | 644.666 | + | 644.666i | 1.00259 | + | 1.00259i | 0.999997 | + | 0.00259505i | \(0.000826032\pi\) |
0.00259505 | + | 0.999997i | \(0.499174\pi\) | |||||||
\(644\) | −164.836 | − | 532.229i | −0.255957 | − | 0.826442i | ||||
\(645\) | 124.307 | + | 84.4517i | 0.192723 | + | 0.130933i | ||||
\(646\) | −162.650 | − | 281.718i | −0.251780 | − | 0.436096i | ||||
\(647\) | −1.53858 | − | 5.74208i | −0.00237803 | − | 0.00887493i | 0.964727 | − | 0.263254i | \(-0.0847957\pi\) |
−0.967105 | + | 0.254379i | \(0.918129\pi\) | |||||||
\(648\) | −24.5885 | + | 6.58846i | −0.0379452 | + | 0.0101674i | ||||
\(649\) | −1.07934 | + | 0.623155i | −0.00166308 | + | 0.000960177i | ||||
\(650\) | 171.701 | + | 433.292i | 0.264156 | + | 0.666603i | ||||
\(651\) | 422.214 | + | 390.862i | 0.648562 | + | 0.600402i | ||||
\(652\) | −68.7677 | + | 68.7677i | −0.105472 | + | 0.105472i | ||||
\(653\) | −119.807 | + | 447.127i | −0.183472 | + | 0.684727i | 0.811481 | + | 0.584379i | \(0.198662\pi\) |
−0.994952 | + | 0.100347i | \(0.968005\pi\) | |||||||
\(654\) | 97.1111 | + | 56.0671i | 0.148488 | + | 0.0857296i | ||||
\(655\) | 366.546 | + | 757.949i | 0.559612 | + | 1.15717i | ||||
\(656\) | 156.239 | + | 270.613i | 0.238169 | + | 0.412520i | ||||
\(657\) | −25.6702 | + | 25.6702i | −0.0390718 | + | 0.0390718i | ||||
\(658\) | −99.1568 | + | 62.4622i | −0.150694 | + | 0.0949274i | ||||
\(659\) | − | 743.223i | − | 1.12780i | −0.825842 | − | 0.563902i | \(-0.809299\pi\) | ||
0.825842 | − | 0.563902i | \(-0.190701\pi\) | |||||||
\(660\) | 4.92206 | − | 4.24988i | 0.00745767 | − | 0.00643922i | ||||
\(661\) | −369.828 | + | 640.561i | −0.559497 | + | 0.969078i | 0.438041 | + | 0.898955i | \(0.355673\pi\) |
−0.997538 | + | 0.0701230i | \(0.977661\pi\) | |||||||
\(662\) | 25.7447 | + | 96.0805i | 0.0388893 | + | 0.145137i | ||||
\(663\) | −182.021 | + | 679.310i | −0.274541 | + | 1.02460i | ||||
\(664\) | 377.716i | 0.568849i | ||||||||
\(665\) | −9.04573 | + | 261.223i | −0.0136026 | + | 0.392816i | ||||
\(666\) | 25.9499 | 0.0389637 | ||||||||
\(667\) | −847.669 | − | 227.132i | −1.27087 | − | 0.340528i | ||||
\(668\) | 396.622 | − | 106.275i | 0.593745 | − | 0.159094i | ||||
\(669\) | −43.7311 | − | 25.2482i | −0.0653679 | − | 0.0377402i | ||||
\(670\) | 46.2678 | − | 631.330i | 0.0690564 | − | 0.942284i | ||||
\(671\) | 33.2446 | 0.0495448 | ||||||||
\(672\) | −68.5348 | + | 2.64270i | −0.101986 | + | 0.00393259i | ||||
\(673\) | 419.551 | + | 419.551i | 0.623404 | + | 0.623404i | 0.946400 | − | 0.322997i | \(-0.104690\pi\) |
−0.322997 | + | 0.946400i | \(0.604690\pi\) | |||||||
\(674\) | −86.8825 | + | 50.1616i | −0.128906 | + | 0.0744238i | ||||
\(675\) | −104.266 | + | 77.4828i | −0.154468 | + | 0.114789i | ||||
\(676\) | −4.77853 | + | 8.27665i | −0.00706883 | + | 0.0122436i | ||||
\(677\) | −1033.80 | − | 277.005i | −1.52702 | − | 0.409165i | −0.604978 | − | 0.796243i | \(-0.706818\pi\) |
−0.922047 | + | 0.387077i | \(0.873485\pi\) | |||||||
\(678\) | −210.053 | − | 210.053i | −0.309813 | − | 0.309813i | ||||
\(679\) | 164.052 | + | 529.696i | 0.241608 | + | 0.780112i | ||||
\(680\) | 244.786 | − | 360.307i | 0.359979 | − | 0.529863i | ||||
\(681\) | 351.477 | + | 608.776i | 0.516119 | + | 0.893945i | ||||
\(682\) | 6.52139 | + | 24.3382i | 0.00956216 | + | 0.0356865i | ||||
\(683\) | 212.201 | − | 56.8591i | 0.310690 | − | 0.0832491i | −0.100105 | − | 0.994977i | \(-0.531918\pi\) |
0.410795 | + | 0.911728i | \(0.365251\pi\) | |||||||
\(684\) | 38.8048 | − | 22.4040i | 0.0567322 | − | 0.0327543i | ||||
\(685\) | 133.595 | + | 699.765i | 0.195029 | + | 1.02156i | ||||
\(686\) | −479.902 | − | 70.6545i | −0.699566 | − | 0.102995i | ||||
\(687\) | 211.804 | − | 211.804i | 0.308302 | − | 0.308302i | ||||
\(688\) | 17.9650 | − | 67.0464i | 0.0261120 | − | 0.0974511i | ||||
\(689\) | −46.5404 | − | 26.8701i | −0.0675478 | − | 0.0389987i | ||||
\(690\) | −160.229 | + | 460.334i | −0.232215 | + | 0.667151i | ||||
\(691\) | 420.815 | + | 728.873i | 0.608994 | + | 1.05481i | 0.991407 | + | 0.130817i | \(0.0417600\pi\) |
−0.382412 | + | 0.923992i | \(0.624907\pi\) | |||||||
\(692\) | 246.040 | − | 246.040i | 0.355550 | − | 0.355550i | ||||
\(693\) | −6.97491 | − | 3.67617i | −0.0100648 | − | 0.00530473i | ||||
\(694\) | − | 174.098i | − | 0.250862i | ||||||
\(695\) | 52.1033 | − | 710.956i | 0.0749687 | − | 1.02296i | ||||
\(696\) | −54.0130 | + | 93.5533i | −0.0776049 | + | 0.134416i | ||||
\(697\) | 622.759 | + | 2324.17i | 0.893486 | + | 3.33453i | ||||
\(698\) | 228.334 | − | 852.155i | 0.327127 | − | 1.22085i | ||||
\(699\) | − | 157.305i | − | 0.225042i | ||||||
\(700\) | −320.174 | + | 141.382i | −0.457391 | + | 0.201974i | ||||
\(701\) | −161.172 | −0.229917 | −0.114959 | − | 0.993370i | \(-0.536674\pi\) | ||||
−0.114959 | + | 0.993370i | \(0.536674\pi\) | |||||||
\(702\) | −93.5704 | − | 25.0721i | −0.133291 | − | 0.0357153i | ||||
\(703\) | −44.1211 | + | 11.8222i | −0.0627611 | + | 0.0168168i | ||||
\(704\) | −2.60118 | − | 1.50179i | −0.00369485 | − | 0.00213322i | ||||
\(705\) | 102.246 | + | 7.49323i | 0.145030 | + | 0.0106287i | ||||
\(706\) | 745.843 | 1.05644 | ||||||||
\(707\) | 391.965 | + | 622.231i | 0.554406 | + | 0.880101i | ||||
\(708\) | −8.13116 | − | 8.13116i | −0.0114847 | − | 0.0114847i | ||||
\(709\) | 440.263 | − | 254.186i | 0.620964 | − | 0.358514i | −0.156280 | − | 0.987713i | \(-0.549950\pi\) |
0.777244 | + | 0.629199i | \(0.216617\pi\) | |||||||
\(710\) | −430.030 | − | 149.681i | −0.605677 | − | 0.210818i | ||||
\(711\) | −54.3643 | + | 94.1617i | −0.0764617 | + | 0.132436i | ||||
\(712\) | 160.190 | + | 42.9227i | 0.224986 | + | 0.0602847i | ||||
\(713\) | −1335.44 | − | 1335.44i | −1.87299 | − | 1.87299i | ||||
\(714\) | −515.021 | − | 116.932i | −0.721317 | − | 0.163770i | ||||
\(715\) | 24.3077 | − | 4.64067i | 0.0339967 | − | 0.00649045i | ||||
\(716\) | −22.8023 | − | 39.4948i | −0.0318468 | − | 0.0551603i | ||||
\(717\) | −137.690 | − | 513.867i | −0.192036 | − | 0.716690i | ||||
\(718\) | 63.4996 | − | 17.0147i | 0.0884396 | − | 0.0236973i | ||||
\(719\) | 437.657 | − | 252.681i | 0.608702 | − | 0.351434i | −0.163755 | − | 0.986501i | \(-0.552361\pi\) |
0.772457 | + | 0.635067i | \(0.219027\pi\) | |||||||
\(720\) | 49.6298 | + | 33.7176i | 0.0689303 | + | 0.0468301i | ||||
\(721\) | 797.306 | + | 738.101i | 1.10583 | + | 1.02372i | ||||
\(722\) | 305.229 | − | 305.229i | 0.422755 | − | 0.422755i | ||||
\(723\) | 39.6111 | − | 147.831i | 0.0547871 | − | 0.204468i | ||||
\(724\) | −403.059 | − | 232.706i | −0.556711 | − | 0.321417i | ||||
\(725\) | −80.3690 | + | 545.378i | −0.110854 | + | 0.752246i | ||||
\(726\) | 148.021 | + | 256.381i | 0.203886 | + | 0.353142i | ||||
\(727\) | 61.0414 | − | 61.0414i | 0.0839634 | − | 0.0839634i | −0.663878 | − | 0.747841i | \(-0.731090\pi\) |
0.747841 | + | 0.663878i | \(0.231090\pi\) | |||||||
\(728\) | −230.893 | − | 121.694i | −0.317161 | − | 0.167162i | ||||
\(729\) | − | 27.0000i | − | 0.0370370i | ||||||
\(730\) | 85.3383 | + | 6.25412i | 0.116902 | + | 0.00856729i | ||||
\(731\) | 267.244 | − | 462.880i | 0.365586 | − | 0.633214i | ||||
\(732\) | 79.3886 | + | 296.282i | 0.108454 | + | 0.404757i | ||||
\(733\) | −5.84998 | + | 21.8324i | −0.00798088 | + | 0.0297850i | −0.969801 | − | 0.243896i | \(-0.921575\pi\) |
0.961821 | + | 0.273681i | \(0.0882412\pi\) | |||||||
\(734\) | 428.942i | 0.584390i | ||||||||
\(735\) | 301.238 | + | 298.882i | 0.409848 | + | 0.406642i | ||||
\(736\) | 225.131 | 0.305884 | ||||||||
\(737\) | −32.4659 | − | 8.69921i | −0.0440514 | − | 0.0118035i | ||||
\(738\) | −320.139 | + | 85.7810i | −0.433793 | + | 0.116234i | ||||
\(739\) | −170.468 | − | 98.4197i | −0.230674 | − | 0.133180i | 0.380209 | − | 0.924901i | \(-0.375852\pi\) |
−0.610883 | + | 0.791721i | \(0.709185\pi\) | |||||||
\(740\) | −39.9729 | − | 46.2952i | −0.0540175 | − | 0.0625611i | ||||
\(741\) | 170.515 | 0.230114 | ||||||||
\(742\) | 18.8167 | − | 35.7014i | 0.0253594 | − | 0.0481151i | ||||
\(743\) | −78.6647 | − | 78.6647i | −0.105874 | − | 0.105874i | 0.652185 | − | 0.758060i | \(-0.273852\pi\) |
−0.758060 | + | 0.652185i | \(0.773852\pi\) | |||||||
\(744\) | −201.334 | + | 116.240i | −0.270610 | + | 0.156237i | ||||
\(745\) | 564.909 | − | 273.191i | 0.758267 | − | 0.366699i | ||||
\(746\) | 216.009 | − | 374.138i | 0.289556 | − | 0.501526i | ||||
\(747\) | −386.977 | − | 103.690i | −0.518041 | − | 0.138809i | ||||
\(748\) | −16.3542 | − | 16.3542i | −0.0218639 | − | 0.0218639i | ||||
\(749\) | −604.054 | + | 652.507i | −0.806481 | + | 0.871171i | ||||
\(750\) | 298.842 | + | 66.6594i | 0.398456 | + | 0.0888792i | ||||
\(751\) | 184.597 | + | 319.732i | 0.245802 | + | 0.425741i | 0.962357 | − | 0.271789i | \(-0.0876154\pi\) |
−0.716555 | + | 0.697531i | \(0.754282\pi\) | |||||||
\(752\) | −12.2556 | − | 45.7386i | −0.0162974 | − | 0.0608226i | ||||
\(753\) | 234.570 | − | 62.8529i | 0.311514 | − | 0.0834700i | ||||
\(754\) | −356.014 | + | 205.544i | −0.472166 | + | 0.272605i | ||||
\(755\) | −395.200 | + | 581.705i | −0.523444 | + | 0.770471i | ||||
\(756\) | 16.1066 | − | 70.9407i | 0.0213050 | − | 0.0938369i | ||||
\(757\) | −193.004 | + | 193.004i | −0.254958 | + | 0.254958i | −0.823000 | − | 0.568041i | \(-0.807701\pi\) |
0.568041 | + | 0.823000i | \(0.307701\pi\) | |||||||
\(758\) | −221.291 | + | 825.870i | −0.291941 | + | 1.08954i | ||||
\(759\) | 22.4130 | + | 12.9402i | 0.0295297 | + | 0.0170490i | ||||
\(760\) | −99.7438 | − | 34.7179i | −0.131242 | − | 0.0456814i | ||||
\(761\) | −569.684 | − | 986.721i | −0.748599 | − | 1.29661i | −0.948494 | − | 0.316794i | \(-0.897394\pi\) |
0.199896 | − | 0.979817i | \(-0.435940\pi\) | |||||||
\(762\) | 117.566 | − | 117.566i | 0.154286 | − | 0.154286i | ||||
\(763\) | −271.138 | + | 170.799i | −0.355358 | + | 0.223852i | ||||
\(764\) | − | 122.596i | − | 0.160466i | ||||||
\(765\) | 301.943 | + | 349.699i | 0.394696 | + | 0.457123i | ||||
\(766\) | 257.570 | − | 446.124i | 0.336253 | − | 0.582407i | ||||
\(767\) | −11.3259 | − | 42.2687i | −0.0147664 | − | 0.0551091i | ||||
\(768\) | 7.17260 | − | 26.7685i | 0.00933933 | − | 0.0348548i | ||||
\(769\) | − | 418.781i | − | 0.544578i | −0.962216 | − | 0.272289i | \(-0.912219\pi\) | ||
0.962216 | − | 0.272289i | \(-0.0877807\pi\) | |||||||
\(770\) | 4.18571 | + | 18.1062i | 0.00543599 | + | 0.0235145i | ||||
\(771\) | −407.731 | −0.528834 | ||||||||
\(772\) | 602.930 | + | 161.555i | 0.780998 | + | 0.209268i | ||||
\(773\) | 100.132 | − | 26.8303i | 0.129537 | − | 0.0347093i | −0.193468 | − | 0.981107i | \(-0.561974\pi\) |
0.323005 | + | 0.946397i | \(0.395307\pi\) | |||||||
\(774\) | 63.7586 | + | 36.8110i | 0.0823754 | + | 0.0475595i | ||||
\(775\) | −736.635 | + | 929.969i | −0.950497 | + | 1.19996i | ||||
\(776\) | −224.059 | −0.288736 | ||||||||
\(777\) | −34.5768 | + | 65.6036i | −0.0445004 | + | 0.0844320i | ||||
\(778\) | 212.569 | + | 212.569i | 0.273225 | + | 0.273225i | ||||
\(779\) | 505.234 | − | 291.697i | 0.648567 | − | 0.374451i | ||||
\(780\) | 99.4058 | + | 205.553i | 0.127443 | + | 0.263529i | ||||
\(781\) | −12.0883 | + | 20.9376i | −0.0154780 | + | 0.0268087i | ||||
\(782\) | 1674.50 | + | 448.680i | 2.14130 | + | 0.573760i | ||||
\(783\) | −81.0195 | − | 81.0195i | −0.103473 | − | 0.103473i | ||||
\(784\) | 84.6380 | − | 176.783i | 0.107957 | − | 0.225489i | ||||
\(785\) | −48.4439 | − | 253.747i | −0.0617119 | − | 0.323245i | ||||
\(786\) | 206.229 | + | 357.200i | 0.262378 | + | 0.454453i | ||||
\(787\) | 216.003 | + | 806.135i | 0.274464 | + | 1.02431i | 0.956200 | + | 0.292715i | \(0.0945589\pi\) |
−0.681735 | + | 0.731599i | \(0.738774\pi\) | |||||||
\(788\) | −219.796 | + | 58.8941i | −0.278929 | + | 0.0747387i | ||||
\(789\) | −101.608 | + | 58.6633i | −0.128780 | + | 0.0743514i | ||||
\(790\) | 251.729 | − | 48.0586i | 0.318645 | − | 0.0608337i | ||||
\(791\) | 810.919 | − | 251.149i | 1.02518 | − | 0.317508i | ||||
\(792\) | 2.25268 | − | 2.25268i | 0.00284430 | − | 0.00284430i | ||||
\(793\) | −302.110 | + | 1127.49i | −0.380972 | + | 1.42181i | ||||
\(794\) | 32.9858 | + | 19.0444i | 0.0415438 | + | 0.0239853i | ||||
\(795\) | −31.7832 | + | 15.3704i | −0.0399788 | + | 0.0193338i | ||||
\(796\) | −102.514 | − | 177.560i | −0.128787 | − | 0.223066i | ||||
\(797\) | −307.496 | + | 307.496i | −0.385817 | + | 0.385817i | −0.873192 | − | 0.487376i | \(-0.837954\pi\) |
0.487376 | + | 0.873192i | \(0.337954\pi\) | |||||||
\(798\) | 4.93391 | + | 127.954i | 0.00618284 | + | 0.160344i | ||||
\(799\) | − | 364.624i | − | 0.456350i | ||||||
\(800\) | −16.2963 | − | 140.479i | −0.0203703 | − | 0.175599i | ||||
\(801\) | −87.9503 | + | 152.334i | −0.109801 | + | 0.190180i | ||||
\(802\) | −100.890 | − | 376.528i | −0.125798 | − | 0.469486i | ||||
\(803\) | 1.17589 | − | 4.38849i | 0.00146437 | − | 0.00546512i | ||||
\(804\) | − | 310.117i | − | 0.385717i | ||||||
\(805\) | −950.270 | − | 1018.44i | −1.18046 | − | 1.26515i | ||||
\(806\) | −884.694 | −1.09764 | ||||||||
\(807\) | −398.070 | − | 106.662i | −0.493271 | − | 0.132172i | ||||
\(808\) | −287.020 | + | 76.9068i | −0.355223 | + | 0.0951817i | ||||
\(809\) | 645.296 | + | 372.562i | 0.797647 | + | 0.460522i | 0.842648 | − | 0.538465i | \(-0.180996\pi\) |
−0.0450008 | + | 0.998987i | \(0.514329\pi\) | |||||||
\(810\) | −48.1687 | + | 41.5906i | −0.0594675 | + | 0.0513464i | ||||
\(811\) | −1244.33 | −1.53431 | −0.767155 | − | 0.641462i | \(-0.778328\pi\) | ||||
−0.767155 | + | 0.641462i | \(0.778328\pi\) | |||||||
\(812\) | −164.542 | − | 261.205i | −0.202638 | − | 0.321681i | ||||
\(813\) | 87.4744 | + | 87.4744i | 0.107595 | + | 0.107595i | ||||
\(814\) | −2.81251 | + | 1.62380i | −0.00345517 | + | 0.00199484i | ||||
\(815\) | −79.9235 | + | 229.619i | −0.0980656 | + | 0.281741i | ||||
\(816\) | 106.698 | − | 184.806i | 0.130757 | − | 0.226478i | ||||
\(817\) | −125.175 | − | 33.5406i | −0.153213 | − | 0.0410534i | ||||
\(818\) | −766.618 | − | 766.618i | −0.937186 | − | 0.937186i | ||||
\(819\) | 188.062 | − | 203.147i | 0.229624 | − | 0.248043i | ||||
\(820\) | 646.175 | + | 439.000i | 0.788018 | + | 0.535366i | ||||
\(821\) | 386.936 | + | 670.194i | 0.471299 | + | 0.816314i | 0.999461 | − | 0.0328299i | \(-0.0104519\pi\) |
−0.528162 | + | 0.849144i | \(0.677119\pi\) | |||||||
\(822\) | 90.3292 | + | 337.113i | 0.109890 | + | 0.410113i | ||||
\(823\) | −98.3114 | + | 26.3425i | −0.119455 | + | 0.0320078i | −0.318051 | − | 0.948074i | \(-0.603028\pi\) |
0.198596 | + | 0.980081i | \(0.436362\pi\) | |||||||
\(824\) | −380.197 | + | 219.507i | −0.461404 | + | 0.266392i | ||||
\(825\) | 6.45214 | − | 14.9222i | 0.00782078 | − | 0.0180875i | ||||
\(826\) | 31.3907 | − | 9.72198i | 0.0380032 | − | 0.0117699i | ||||
\(827\) | 592.083 | − | 592.083i | 0.715941 | − | 0.715941i | −0.251831 | − | 0.967771i | \(-0.581033\pi\) |
0.967771 | + | 0.251831i | \(0.0810326\pi\) | |||||||
\(828\) | −61.8027 | + | 230.651i | −0.0746409 | + | 0.278564i | ||||
\(829\) | 1212.24 | + | 699.889i | 1.46230 | + | 0.844257i | 0.999117 | − | 0.0420088i | \(-0.0133758\pi\) |
0.463178 | + | 0.886265i | \(0.346709\pi\) | |||||||
\(830\) | 411.110 | + | 850.100i | 0.495313 | + | 1.02422i | ||||
\(831\) | −269.140 | − | 466.165i | −0.323875 | − | 0.560968i | ||||
\(832\) | 74.5715 | − | 74.5715i | 0.0896292 | − | 0.0896292i | ||||
\(833\) | 981.853 | − | 1146.21i | 1.17870 | − | 1.37601i | ||||
\(834\) | − | 349.230i | − | 0.418741i | ||||||
\(835\) | 776.981 | − | 670.873i | 0.930516 | − | 0.803441i | ||||
\(836\) | −2.80384 | + | 4.85639i | −0.00335387 | + | 0.00580907i | ||||
\(837\) | −63.8202 | − | 238.180i | −0.0762488 | − | 0.284564i | ||||
\(838\) | −7.24958 | + | 27.0558i | −0.00865105 | + | 0.0322862i | ||||
\(839\) | 254.978i | 0.303907i | 0.988388 | + | 0.151953i | \(0.0485564\pi\) | ||||
−0.988388 | + | 0.151953i | \(0.951444\pi\) | |||||||
\(840\) | −151.370 | + | 80.5418i | −0.180203 | + | 0.0958831i | ||||
\(841\) | 354.766 | 0.421838 | ||||||||
\(842\) | −595.001 | − | 159.430i | −0.706652 | − | 0.189347i | ||||
\(843\) | 130.984 | − | 35.0970i | 0.155378 | − | 0.0416335i | ||||
\(844\) | 124.149 | + | 71.6773i | 0.147096 | + | 0.0849257i | ||||
\(845\) | −1.74632 | + | 23.8287i | −0.00206665 | + | 0.0281997i | ||||
\(846\) | 50.2245 | 0.0593670 | ||||||||
\(847\) | −845.385 | + | 32.5980i | −0.998093 | + | 0.0384864i | ||||
\(848\) | 11.5305 | + | 11.5305i | 0.0135972 | + | 0.0135972i | ||||
\(849\) | −472.487 | + | 272.790i | −0.556522 | + | 0.321308i | ||||
\(850\) | 158.762 | − | 1077.35i | 0.186779 | − | 1.26747i | ||||
\(851\) | 121.711 | − | 210.809i | 0.143021 | − | 0.247719i | ||||
\(852\) | −215.467 | − | 57.7342i | −0.252896 | − | 0.0677632i | ||||
\(853\) | −964.992 | − | 964.992i | −1.13129 | − | 1.13129i | −0.989963 | − | 0.141329i | \(-0.954863\pi\) |
−0.141329 | − | 0.989963i | \(-0.545137\pi\) | |||||||
\(854\) | −854.810 | − | 194.079i | −1.00095 | − | 0.227259i | ||||
\(855\) | 62.9507 | − | 92.6587i | 0.0736266 | − | 0.108373i | ||||
\(856\) | −179.642 | − | 311.149i | −0.209862 | − | 0.363492i | ||||
\(857\) | −206.395 | − | 770.275i | −0.240834 | − | 0.898804i | −0.975432 | − | 0.220301i | \(-0.929296\pi\) |
0.734598 | − | 0.678502i | \(-0.237371\pi\) | |||||||
\(858\) | 11.7103 | − | 3.13775i | 0.0136483 | − | 0.00365706i | ||||
\(859\) | 527.558 | − | 304.586i | 0.614154 | − | 0.354582i | −0.160436 | − | 0.987046i | \(-0.551290\pi\) |
0.774589 | + | 0.632464i | \(0.217957\pi\) | |||||||
\(860\) | −32.5414 | − | 170.450i | −0.0378388 | − | 0.198198i | ||||
\(861\) | 209.706 | − | 923.639i | 0.243561 | − | 1.07275i | ||||
\(862\) | −615.810 | + | 615.810i | −0.714396 | + | 0.714396i | ||||
\(863\) | −104.924 | + | 391.580i | −0.121580 | + | 0.453743i | −0.999695 | − | 0.0247075i | \(-0.992135\pi\) |
0.878115 | + | 0.478450i | \(0.158801\pi\) | |||||||
\(864\) | 25.4558 | + | 14.6969i | 0.0294628 | + | 0.0170103i | ||||
\(865\) | 285.954 | − | 821.540i | 0.330582 | − | 0.949757i | ||||
\(866\) | −412.622 | − | 714.681i | −0.476468 | − | 0.825267i | ||||
\(867\) | 807.971 | − | 807.971i | 0.931916 | − | 0.931916i | ||||
\(868\) | −25.5989 | − | 663.874i | −0.0294919 | − | 0.764832i | ||||
\(869\) | − | 13.6073i | − | 0.0156586i | ||||||
\(870\) | −19.7391 | + | 269.343i | −0.0226886 | + | 0.309589i | ||||
\(871\) | 590.069 | − | 1022.03i | 0.677461 | − | 1.17340i | ||||
\(872\) | −33.5123 | − | 125.070i | −0.0384315 | − | 0.143428i | ||||
\(873\) | 61.5085 | − | 229.553i | 0.0704565 | − | 0.262947i | ||||
\(874\) | − | 420.318i | − | 0.480913i | ||||||
\(875\) | −566.712 | + | 666.680i | −0.647671 | + | 0.761920i | ||||
\(876\) | 41.9192 | 0.0478530 | ||||||||
\(877\) | −88.7826 | − | 23.7892i | −0.101234 | − | 0.0271257i | 0.207846 | − | 0.978162i | \(-0.433355\pi\) |
−0.309081 | + | 0.951036i | \(0.600021\pi\) | |||||||
\(878\) | −266.870 | + | 71.5075i | −0.303952 | + | 0.0814437i | ||||
\(879\) | −38.7850 | − | 22.3925i | −0.0441240 | − | 0.0254750i | ||||
\(880\) | −7.48886 | − | 0.548830i | −0.00851007 | − | 0.000623671i | ||||
\(881\) | 1281.90 | 1.45506 | 0.727528 | − | 0.686078i | \(-0.240669\pi\) | ||||
0.727528 | + | 0.686078i | \(0.240669\pi\) | |||||||
\(882\) | 157.883 | + | 135.244i | 0.179006 | + | 0.153338i | ||||
\(883\) | −622.831 | − | 622.831i | −0.705358 | − | 0.705358i | 0.260198 | − | 0.965555i | \(-0.416212\pi\) |
−0.965555 | + | 0.260198i | \(0.916212\pi\) | |||||||
\(884\) | 703.274 | − | 406.035i | 0.795558 | − | 0.459316i | ||||
\(885\) | −27.1503 | − | 9.45023i | −0.0306783 | − | 0.0106782i | ||||
\(886\) | 425.941 | − | 737.752i | 0.480746 | − | 0.832677i | ||||
\(887\) | −951.867 | − | 255.052i | −1.07313 | − | 0.287544i | −0.321352 | − | 0.946960i | \(-0.604137\pi\) |
−0.751779 | + | 0.659415i | \(0.770804\pi\) | |||||||
\(888\) | −21.1880 | − | 21.1880i | −0.0238603 | − | 0.0238603i | ||||
\(889\) | 140.567 | + | 453.868i | 0.158118 | + | 0.510538i | ||||
\(890\) | 407.246 | − | 77.7490i | 0.457580 | − | 0.0873584i | ||||
\(891\) | 1.68951 | + | 2.92632i | 0.00189620 | + | 0.00328431i | ||||
\(892\) | 15.0913 | + | 56.3214i | 0.0169185 | + | 0.0631405i | ||||
\(893\) | −85.3938 | + | 22.8812i | −0.0956258 | + | 0.0256228i | ||||
\(894\) | 266.225 | − | 153.705i | 0.297791 | − | 0.171930i | ||||
\(895\) | −94.3063 | − | 64.0700i | −0.105370 | − | 0.0715866i | ||||
\(896\) | 58.1162 | + | 53.8007i | 0.0648618 | + | 0.0600454i | ||||
\(897\) | −642.545 | + | 642.545i | −0.716327 | + | 0.716327i | ||||
\(898\) | 84.2272 | − | 314.340i | 0.0937942 | − | 0.350045i | ||||
\(899\) | −906.220 | − | 523.206i | −1.00803 | − | 0.581987i | ||||
\(900\) | 148.397 | + | 21.8684i | 0.164886 | + | 0.0242982i | ||||
\(901\) | 62.7823 | + | 108.742i | 0.0696807 | + | 0.120690i | ||||
\(902\) | 29.3297 | − | 29.3297i | 0.0325163 | − | 0.0325163i | ||||
\(903\) | −178.017 | + | 112.139i | −0.197139 | + | 0.124185i | ||||
\(904\) | 343.016i | 0.379442i | ||||||||
\(905\) | −1160.42 | − | 85.0427i | −1.28223 | − | 0.0939698i | ||||
\(906\) | −172.261 | + | 298.365i | −0.190134 | + | 0.329321i | ||||
\(907\) | 319.260 | + | 1191.49i | 0.351995 | + | 1.31366i | 0.884224 | + | 0.467063i | \(0.154688\pi\) |
−0.532229 | + | 0.846601i | \(0.678645\pi\) | |||||||
\(908\) | 210.084 | − | 784.044i | 0.231370 | − | 0.863484i | ||||
\(909\) | − | 315.170i | − | 0.346722i | ||||||
\(910\) | −652.110 | − | 22.5815i | −0.716604 | − | 0.0248149i | ||||
\(911\) | −575.476 | −0.631697 | −0.315848 | − | 0.948810i | \(-0.602289\pi\) | ||||
−0.315848 | + | 0.948810i | \(0.602289\pi\) | |||||||
\(912\) | −49.9767 | − | 13.3912i | −0.0547991 | − | 0.0146834i | ||||
\(913\) | 48.4298 | − | 12.9767i | 0.0530447 | − | 0.0142133i | ||||
\(914\) | 1029.94 | + | 594.636i | 1.12685 | + | 0.650587i | ||||
\(915\) | 501.152 | + | 580.416i | 0.547707 | + | 0.634335i | ||||
\(916\) | −345.874 | −0.377592 | ||||||||
\(917\) | −1177.82 | + | 45.4168i | −1.28443 | + | 0.0495276i | ||||
\(918\) | 160.047 | + | 160.047i | 0.174343 | + | 0.174343i | ||||
\(919\) | 435.064 | − | 251.185i | 0.473411 | − | 0.273324i | −0.244256 | − | 0.969711i | \(-0.578544\pi\) |
0.717666 | + | 0.696387i | \(0.245210\pi\) | |||||||
\(920\) | 506.687 | − | 245.035i | 0.550747 | − | 0.266342i | ||||
\(921\) | −114.023 | + | 197.494i | −0.123804 | + | 0.214435i | ||||
\(922\) | −535.187 | − | 143.403i | −0.580463 | − | 0.155534i | ||||
\(923\) | −600.247 | − | 600.247i | −0.650321 | − | 0.650321i | ||||
\(924\) | 2.69341 | + | 8.69658i | 0.00291494 | + | 0.00941188i | ||||
\(925\) | −140.353 | − | 60.6866i | −0.151733 | − | 0.0656072i | ||||
\(926\) | 253.040 | + | 438.278i | 0.273261 | + | 0.473302i | ||||
\(927\) | −120.518 | − | 449.778i | −0.130008 | − | 0.485197i | ||||
\(928\) | 120.487 | − | 32.2845i | 0.129836 | − | 0.0347893i | ||||
\(929\) | −498.894 | + | 288.037i | −0.537023 | + | 0.310050i | −0.743872 | − | 0.668323i | \(-0.767013\pi\) |
0.206849 | + | 0.978373i | \(0.433679\pi\) | |||||||
\(930\) | −326.612 | + | 480.748i | −0.351195 | + | 0.516933i | ||||
\(931\) | −330.054 | − | 158.019i | −0.354516 | − | 0.169730i | ||||
\(932\) | −128.439 | + | 128.439i | −0.137810 | + | 0.137810i | ||||
\(933\) | 227.534 | − | 849.168i | 0.243874 | − | 0.910148i | ||||
\(934\) | −949.966 | − | 548.463i | −1.01709 | − | 0.587220i | ||||
\(935\) | −54.6075 | − | 19.0073i | −0.0584037 | − | 0.0203286i | ||||
\(936\) | 55.9286 | + | 96.8713i | 0.0597528 | + | 0.103495i | ||||
\(937\) | 1239.11 | − | 1239.11i | 1.32242 | − | 1.32242i | 0.410615 | − | 0.911809i | \(-0.365314\pi\) |
0.911809 | − | 0.410615i | \(-0.134686\pi\) | |||||||
\(938\) | 784.004 | + | 413.214i | 0.835825 | + | 0.440527i | ||||
\(939\) | 689.617i | 0.734417i | ||||||||
\(940\) | −77.3654 | − | 89.6017i | −0.0823036 | − | 0.0953210i | ||||
\(941\) | 417.832 | − | 723.707i | 0.444030 | − | 0.769083i | −0.553954 | − | 0.832547i | \(-0.686882\pi\) |
0.997984 | + | 0.0634646i | \(0.0202150\pi\) | |||||||
\(942\) | −32.7549 | − | 122.243i | −0.0347717 | − | 0.129770i | ||||
\(943\) | −804.664 | + | 3003.05i | −0.853302 | + | 3.18457i | ||||
\(944\) | 13.2781i | 0.0140658i | ||||||||
\(945\) | −40.9625 | − | 177.192i | −0.0433466 | − | 0.187505i | ||||
\(946\) | −9.21373 | −0.00973968 | ||||||||
\(947\) | 1130.34 | + | 302.872i | 1.19360 | + | 0.319823i | 0.800306 | − | 0.599592i | \(-0.204670\pi\) |
0.393290 | + | 0.919415i | \(0.371337\pi\) | |||||||
\(948\) | 121.271 | − | 32.4944i | 0.127923 | − | 0.0342768i | ||||
\(949\) | 138.150 | + | 79.7609i | 0.145574 | + | 0.0840474i | ||||
\(950\) | −262.274 | + | 30.4251i | −0.276078 | + | 0.0320264i | ||||
\(951\) | −374.225 | −0.393507 | ||||||||
\(952\) | 325.038 | + | 515.987i | 0.341426 | + | 0.542003i | ||||
\(953\) | 264.816 | + | 264.816i | 0.277876 | + | 0.277876i | 0.832261 | − | 0.554385i | \(-0.187046\pi\) |
−0.554385 | + | 0.832261i | \(0.687046\pi\) | |||||||
\(954\) | −14.9785 | + | 8.64784i | −0.0157007 | + | 0.00906482i | ||||
\(955\) | −133.435 | − | 275.920i | −0.139723 | − | 0.288921i | ||||
\(956\) | −307.147 | + | 531.994i | −0.321283 | + | 0.556479i | ||||
\(957\) | 13.8508 | + | 3.71132i | 0.0144732 | + | 0.00387808i | ||||
\(958\) | 523.805 | + | 523.805i | 0.546770 | + | 0.546770i | ||||
\(959\) | −972.612 | − | 220.825i | −1.01419 | − | 0.230266i | ||||
\(960\) | −12.9923 | − | 68.0529i | −0.0135336 | − | 0.0708885i | ||||
\(961\) | −645.479 | − | 1118.00i | −0.671674 | − | 1.16337i | ||||
\(962\) | −29.5126 | − | 110.143i | −0.0306784 | − | 0.114493i | ||||
\(963\) | 368.094 | − | 98.6304i | 0.382236 | − | 0.102420i | ||||
\(964\) | −153.046 | + | 88.3609i | −0.158761 | + | 0.0916607i | ||||
\(965\) | 1532.81 | − | 292.636i | 1.58841 | − | 0.303249i | ||||
\(966\) | −500.757 | − | 463.573i | −0.518382 | − | 0.479889i | ||||
\(967\) | 569.334 | − | 569.334i | 0.588763 | − | 0.588763i | −0.348533 | − | 0.937296i | \(-0.613320\pi\) |
0.937296 | + | 0.348533i | \(0.113320\pi\) | |||||||
\(968\) | 88.4750 | − | 330.193i | 0.0913997 | − | 0.341109i | ||||
\(969\) | −345.033 | − | 199.205i | −0.356071 | − | 0.205578i | ||||
\(970\) | −504.276 | + | 243.869i | −0.519872 | + | 0.251411i | ||||
\(971\) | 60.5568 | + | 104.887i | 0.0623654 | + | 0.108020i | 0.895522 | − | 0.445017i | \(-0.146802\pi\) |
−0.833157 | + | 0.553037i | \(0.813469\pi\) | |||||||
\(972\) | −22.0454 | + | 22.0454i | −0.0226805 | + | 0.0226805i | ||||
\(973\) | 882.885 | + | 465.331i | 0.907385 | + | 0.478243i | ||||
\(974\) | 1034.48i | 1.06209i | ||||||||
\(975\) | 447.453 | + | 354.430i | 0.458926 | + | 0.363518i | ||||
\(976\) | 177.093 | − | 306.734i | 0.181448 | − | 0.314277i | ||||
\(977\) | 295.804 | + | 1103.96i | 0.302768 | + | 1.12994i | 0.934850 | + | 0.355043i | \(0.115534\pi\) |
−0.632082 | + | 0.774901i | \(0.717800\pi\) | |||||||
\(978\) | −30.8277 | + | 115.051i | −0.0315212 | + | 0.117639i | ||||
\(979\) | − | 22.0138i | − | 0.0224860i | ||||||
\(980\) | −1.92387 | − | 489.996i | −0.00196314 | − | 0.499996i | ||||
\(981\) | 137.336 | 0.139996 | ||||||||
\(982\) | −174.163 | − | 46.6668i | −0.177355 | − | 0.0475222i | ||||
\(983\) | 118.926 | − | 31.8660i | 0.120982 | − | 0.0324171i | −0.197820 | − | 0.980238i | \(-0.563386\pi\) |
0.318802 | + | 0.947821i | \(0.396719\pi\) | |||||||
\(984\) | 331.432 | + | 191.352i | 0.336821 | + | 0.194464i | ||||
\(985\) | −430.579 | + | 371.777i | −0.437136 | + | 0.377439i | ||||
\(986\) | 960.513 | 0.974152 | ||||||||
\(987\) | −66.9215 | + | 126.972i | −0.0678029 | + | 0.128644i | ||||
\(988\) | −139.225 | − | 139.225i | −0.140916 | − | 0.140916i | ||||
\(989\) | 598.084 | − | 345.304i | 0.604736 | − | 0.349144i | ||||
\(990\) | 2.61812 | − | 7.52182i | 0.00264457 | − | 0.00759780i | ||||
\(991\) | 376.238 | − | 651.664i | 0.379655 | − | 0.657582i | −0.611357 | − | 0.791355i | \(-0.709376\pi\) |
0.991012 | + | 0.133773i | \(0.0427093\pi\) | |||||||
\(992\) | 259.298 | + | 69.4786i | 0.261389 | + | 0.0700390i | ||||
\(993\) | 86.1434 | + | 86.1434i | 0.0867507 | + | 0.0867507i | ||||
\(994\) | 433.056 | − | 467.793i | 0.435670 | − | 0.470617i | ||||
\(995\) | −423.981 | − | 288.045i | −0.426112 | − | 0.289493i | ||||
\(996\) | 231.303 | + | 400.628i | 0.232232 | + | 0.402237i | ||||
\(997\) | 333.759 | + | 1245.60i | 0.334763 | + | 1.24935i | 0.904126 | + | 0.427266i | \(0.140523\pi\) |
−0.569363 | + | 0.822086i | \(0.692810\pi\) | |||||||
\(998\) | −569.917 | + | 152.709i | −0.571059 | + | 0.153015i | ||||
\(999\) | 27.5240 | − | 15.8910i | 0.0275515 | − | 0.0159069i |
(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 | 210.3.v.a.193.4 | yes | 32 | |
5.2 | odd | 4 | inner | 210.3.v.a.67.6 | yes | 32 | |
7.2 | even | 3 | inner | 210.3.v.a.163.6 | yes | 32 | |
35.2 | odd | 12 | inner | 210.3.v.a.37.4 | ✓ | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.3.v.a.37.4 | ✓ | 32 | 35.2 | odd | 12 | inner | |
210.3.v.a.67.6 | yes | 32 | 5.2 | odd | 4 | inner | |
210.3.v.a.163.6 | yes | 32 | 7.2 | even | 3 | inner | |
210.3.v.a.193.4 | yes | 32 | 1.1 | even | 1 | trivial |