Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,2,Mod(23,210)]
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([6, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.x (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: | \(1.67685844245\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 53.14 | ||
Character | \(\chi\) | \(=\) | 210.53 |
Dual form | 210.2.x.a.107.14 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.258819 | − | 0.965926i | 0.183013 | − | 0.683013i | ||||
\(3\) | 0.680155 | − | 1.59292i | 0.392688 | − | 0.919672i | ||||
\(4\) | −0.866025 | − | 0.500000i | −0.433013 | − | 0.250000i | ||||
\(5\) | 1.30445 | − | 1.81616i | 0.583366 | − | 0.812210i | ||||
\(6\) | −1.36260 | − | 1.06926i | −0.556281 | − | 0.436522i | ||||
\(7\) | −2.54122 | + | 0.736347i | −0.960490 | + | 0.278313i | ||||
\(8\) | −0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | ||||
\(9\) | −2.07478 | − | 2.16686i | −0.691593 | − | 0.722288i | ||||
\(10\) | −1.41666 | − | 1.73005i | −0.447986 | − | 0.547091i | ||||
\(11\) | 1.83587 | + | 1.05994i | 0.553535 | + | 0.319583i | 0.750546 | − | 0.660818i | \(-0.229790\pi\) |
−0.197012 | + | 0.980401i | \(0.563124\pi\) | |||||||
\(12\) | −1.38549 | + | 1.03943i | −0.399957 | + | 0.300058i | ||||
\(13\) | 3.28206 | + | 3.28206i | 0.910280 | + | 0.910280i | 0.996294 | − | 0.0860135i | \(-0.0274128\pi\) |
−0.0860135 | + | 0.996294i | \(0.527413\pi\) | |||||||
\(14\) | 0.0535403 | + | 2.64521i | 0.0143092 | + | 0.706962i | ||||
\(15\) | −2.00576 | − | 3.31314i | −0.517886 | − | 0.855450i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | −1.40048 | + | 0.375258i | −0.339667 | + | 0.0910134i | −0.424620 | − | 0.905371i | \(-0.639592\pi\) |
0.0849537 | + | 0.996385i | \(0.472926\pi\) | |||||||
\(18\) | −2.63002 | + | 1.44326i | −0.619902 | + | 0.340179i | ||||
\(19\) | 4.72549 | − | 2.72826i | 1.08410 | − | 0.625906i | 0.152102 | − | 0.988365i | \(-0.451396\pi\) |
0.932000 | + | 0.362458i | \(0.118063\pi\) | |||||||
\(20\) | −2.03776 | + | 0.920615i | −0.455657 | + | 0.205856i | ||||
\(21\) | −0.555484 | + | 4.54878i | −0.121216 | + | 0.992626i | ||||
\(22\) | 1.49898 | − | 1.49898i | 0.319583 | − | 0.319583i | ||||
\(23\) | −5.50010 | − | 1.47375i | −1.14685 | − | 0.307298i | −0.365148 | − | 0.930949i | \(-0.618982\pi\) |
−0.781702 | + | 0.623652i | \(0.785648\pi\) | |||||||
\(24\) | 0.645421 | + | 1.60731i | 0.131746 | + | 0.328090i | ||||
\(25\) | −1.59685 | − | 4.73815i | −0.319369 | − | 0.947630i | ||||
\(26\) | 4.01969 | − | 2.32077i | 0.788326 | − | 0.455140i | ||||
\(27\) | −4.86281 | + | 1.83115i | −0.935848 | + | 0.352405i | ||||
\(28\) | 2.56893 | + | 0.632915i | 0.485483 | + | 0.119610i | ||||
\(29\) | 7.20525 | 1.33798 | 0.668990 | − | 0.743271i | \(-0.266727\pi\) | ||||
0.668990 | + | 0.743271i | \(0.266727\pi\) | |||||||
\(30\) | −3.71938 | + | 1.07991i | −0.679063 | + | 0.197164i | ||||
\(31\) | −0.528063 | + | 0.914632i | −0.0948429 | + | 0.164273i | −0.909543 | − | 0.415610i | \(-0.863568\pi\) |
0.814700 | + | 0.579882i | \(0.196902\pi\) | |||||||
\(32\) | 0.965926 | − | 0.258819i | 0.170753 | − | 0.0457532i | ||||
\(33\) | 2.93707 | − | 2.20346i | 0.511278 | − | 0.383574i | ||||
\(34\) | 1.44989i | 0.248653i | ||||||||
\(35\) | −1.97756 | + | 5.57577i | −0.334269 | + | 0.942478i | ||||
\(36\) | 0.713378 | + | 2.91395i | 0.118896 | + | 0.485658i | ||||
\(37\) | 6.22550 | + | 1.66812i | 1.02347 | + | 0.274237i | 0.731246 | − | 0.682114i | \(-0.238939\pi\) |
0.292221 | + | 0.956351i | \(0.405606\pi\) | |||||||
\(38\) | −1.41225 | − | 5.27060i | −0.229098 | − | 0.855004i | ||||
\(39\) | 7.46037 | − | 2.99575i | 1.19462 | − | 0.479703i | ||||
\(40\) | 0.361834 | + | 2.20660i | 0.0572110 | + | 0.348894i | ||||
\(41\) | 1.86758i | 0.291667i | 0.989309 | + | 0.145833i | \(0.0465863\pi\) | ||||
−0.989309 | + | 0.145833i | \(0.953414\pi\) | |||||||
\(42\) | 4.25002 | + | 1.71387i | 0.655792 | + | 0.264456i | ||||
\(43\) | 1.79293 | + | 1.79293i | 0.273420 | + | 0.273420i | 0.830475 | − | 0.557056i | \(-0.188069\pi\) |
−0.557056 | + | 0.830475i | \(0.688069\pi\) | |||||||
\(44\) | −1.05994 | − | 1.83587i | −0.159792 | − | 0.276767i | ||||
\(45\) | −6.64180 | + | 0.941565i | −0.990100 | + | 0.140360i | ||||
\(46\) | −2.84706 | + | 4.93126i | −0.419776 | + | 0.727074i | ||||
\(47\) | −2.87830 | + | 10.7419i | −0.419843 | + | 1.56687i | 0.355091 | + | 0.934832i | \(0.384450\pi\) |
−0.774934 | + | 0.632042i | \(0.782217\pi\) | |||||||
\(48\) | 1.71959 | − | 0.207427i | 0.248201 | − | 0.0299396i | ||||
\(49\) | 5.91559 | − | 3.74244i | 0.845084 | − | 0.534634i | ||||
\(50\) | −4.99000 | + | 0.316111i | −0.705692 | + | 0.0447048i | ||||
\(51\) | −0.354790 | + | 2.48609i | −0.0496805 | + | 0.348122i | ||||
\(52\) | −1.20132 | − | 4.48338i | −0.166593 | − | 0.621733i | ||||
\(53\) | −1.73562 | − | 6.47741i | −0.238405 | − | 0.889741i | −0.976584 | − | 0.215136i | \(-0.930981\pi\) |
0.738179 | − | 0.674605i | \(-0.235686\pi\) | |||||||
\(54\) | 0.510166 | + | 5.17105i | 0.0694248 | + | 0.703690i | ||||
\(55\) | 4.31980 | − | 1.95159i | 0.582482 | − | 0.263152i | ||||
\(56\) | 1.27624 | − | 2.31759i | 0.170544 | − | 0.309701i | ||||
\(57\) | −1.13183 | − | 9.38296i | −0.149915 | − | 1.24280i | ||||
\(58\) | 1.86485 | − | 6.95973i | 0.244867 | − | 0.913858i | ||||
\(59\) | −2.63659 | + | 4.56671i | −0.343255 | + | 0.594535i | −0.985035 | − | 0.172354i | \(-0.944863\pi\) |
0.641780 | + | 0.766889i | \(0.278196\pi\) | |||||||
\(60\) | 0.0804705 | + | 3.87215i | 0.0103887 | + | 0.499892i | ||||
\(61\) | 4.11857 | + | 7.13357i | 0.527328 | + | 0.913360i | 0.999493 | + | 0.0318490i | \(0.0101396\pi\) |
−0.472164 | + | 0.881511i | \(0.656527\pi\) | |||||||
\(62\) | 0.746794 | + | 0.746794i | 0.0948429 | + | 0.0948429i | ||||
\(63\) | 6.86803 | + | 3.97872i | 0.865290 | + | 0.501272i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | 10.2420 | − | 1.67947i | 1.27036 | − | 0.208312i | ||||
\(66\) | −1.36821 | − | 3.40729i | −0.168415 | − | 0.419408i | ||||
\(67\) | −2.43944 | − | 9.10412i | −0.298025 | − | 1.11225i | −0.938785 | − | 0.344504i | \(-0.888047\pi\) |
0.640760 | − | 0.767742i | \(-0.278620\pi\) | |||||||
\(68\) | 1.40048 | + | 0.375258i | 0.169833 | + | 0.0455067i | ||||
\(69\) | −6.08848 | + | 7.75883i | −0.732967 | + | 0.934054i | ||||
\(70\) | 4.87395 | + | 3.35329i | 0.582549 | + | 0.400795i | ||||
\(71\) | 1.75938i | 0.208800i | 0.994535 | + | 0.104400i | \(0.0332922\pi\) | ||||
−0.994535 | + | 0.104400i | \(0.966708\pi\) | |||||||
\(72\) | 2.99929 | + | 0.0651145i | 0.353470 | + | 0.00767382i | ||||
\(73\) | −1.20699 | + | 0.323412i | −0.141268 | + | 0.0378525i | −0.328760 | − | 0.944414i | \(-0.606631\pi\) |
0.187492 | + | 0.982266i | \(0.439964\pi\) | |||||||
\(74\) | 3.22256 | − | 5.58163i | 0.374615 | − | 0.648852i | ||||
\(75\) | −8.63359 | − | 0.679034i | −0.996921 | − | 0.0784081i | ||||
\(76\) | −5.45653 | −0.625906 | ||||||||
\(77\) | −5.44582 | − | 1.34170i | −0.620609 | − | 0.152901i | ||||
\(78\) | −0.962782 | − | 7.98152i | −0.109014 | − | 0.903729i | ||||
\(79\) | −13.8415 | + | 7.99137i | −1.55728 | + | 0.899099i | −0.559770 | + | 0.828648i | \(0.689110\pi\) |
−0.997515 | + | 0.0704506i | \(0.977556\pi\) | |||||||
\(80\) | 2.22506 | + | 0.221605i | 0.248769 | + | 0.0247761i | ||||
\(81\) | −0.390595 | + | 8.99152i | −0.0433995 | + | 0.999058i | ||||
\(82\) | 1.80394 | + | 0.483365i | 0.199212 | + | 0.0533787i | ||||
\(83\) | −9.47707 | + | 9.47707i | −1.04024 | + | 1.04024i | −0.0410882 | + | 0.999156i | \(0.513082\pi\) |
−0.999156 | + | 0.0410882i | \(0.986918\pi\) | |||||||
\(84\) | 2.75545 | − | 3.66162i | 0.300645 | − | 0.399516i | ||||
\(85\) | −1.14532 | + | 3.03300i | −0.124228 | + | 0.328975i | ||||
\(86\) | 2.19589 | − | 1.26779i | 0.236788 | − | 0.136710i | ||||
\(87\) | 4.90069 | − | 11.4774i | 0.525409 | − | 1.23050i | ||||
\(88\) | −2.04764 | + | 0.548664i | −0.218280 | + | 0.0584878i | ||||
\(89\) | 0.199936 | + | 0.346299i | 0.0211931 | + | 0.0367076i | 0.876427 | − | 0.481534i | \(-0.159920\pi\) |
−0.855234 | + | 0.518242i | \(0.826587\pi\) | |||||||
\(90\) | −0.809541 | + | 6.65918i | −0.0853331 | + | 0.701939i | ||||
\(91\) | −10.7572 | − | 5.92370i | −1.12766 | − | 0.620973i | ||||
\(92\) | 4.02635 | + | 4.02635i | 0.419776 | + | 0.419776i | ||||
\(93\) | 1.09777 | + | 1.46325i | 0.113833 | + | 0.151732i | ||||
\(94\) | 9.63096 | + | 5.56044i | 0.993358 | + | 0.573516i | ||||
\(95\) | 1.20919 | − | 12.1411i | 0.124060 | − | 1.24565i | ||||
\(96\) | 0.244702 | − | 1.71468i | 0.0249748 | − | 0.175004i | ||||
\(97\) | −8.63390 | + | 8.63390i | −0.876640 | + | 0.876640i | −0.993185 | − | 0.116546i | \(-0.962818\pi\) |
0.116546 | + | 0.993185i | \(0.462818\pi\) | |||||||
\(98\) | −2.08385 | − | 6.68263i | −0.210500 | − | 0.675048i | ||||
\(99\) | −1.51227 | − | 6.17721i | −0.151989 | − | 0.620833i | ||||
\(100\) | −0.986167 | + | 4.90178i | −0.0986167 | + | 0.490178i | ||||
\(101\) | 3.82984 | + | 2.21116i | 0.381084 | + | 0.220019i | 0.678290 | − | 0.734795i | \(-0.262721\pi\) |
−0.297206 | + | 0.954813i | \(0.596055\pi\) | |||||||
\(102\) | 2.30955 | + | 0.986147i | 0.228679 | + | 0.0976431i | ||||
\(103\) | 2.77123 | − | 10.3424i | 0.273057 | − | 1.01906i | −0.684075 | − | 0.729412i | \(-0.739794\pi\) |
0.957132 | − | 0.289652i | \(-0.0935395\pi\) | |||||||
\(104\) | −4.64154 | −0.455140 | ||||||||
\(105\) | 7.53670 | + | 6.94248i | 0.735507 | + | 0.677517i | ||||
\(106\) | −6.70591 | −0.651335 | ||||||||
\(107\) | 2.76314 | − | 10.3122i | 0.267123 | − | 0.996917i | −0.693815 | − | 0.720153i | \(-0.744072\pi\) |
0.960938 | − | 0.276763i | \(-0.0892618\pi\) | |||||||
\(108\) | 5.12689 | + | 0.845583i | 0.493335 | + | 0.0813663i | ||||
\(109\) | −7.42120 | − | 4.28463i | −0.710822 | − | 0.410393i | 0.100543 | − | 0.994933i | \(-0.467942\pi\) |
−0.811365 | + | 0.584539i | \(0.801275\pi\) | |||||||
\(110\) | −0.767044 | − | 4.67772i | −0.0731348 | − | 0.446003i | ||||
\(111\) | 6.89149 | − | 8.78214i | 0.654111 | − | 0.833564i | ||||
\(112\) | −1.90830 | − | 1.83259i | −0.180318 | − | 0.173163i | ||||
\(113\) | 7.12484 | − | 7.12484i | 0.670249 | − | 0.670249i | −0.287524 | − | 0.957773i | \(-0.592832\pi\) |
0.957773 | + | 0.287524i | \(0.0928322\pi\) | |||||||
\(114\) | −9.35618 | − | 1.33522i | −0.876287 | − | 0.125055i | ||||
\(115\) | −9.85113 | + | 8.06662i | −0.918623 | + | 0.752216i | ||||
\(116\) | −6.23993 | − | 3.60262i | −0.579363 | − | 0.334495i | ||||
\(117\) | 0.302232 | − | 13.9213i | 0.0279413 | − | 1.28703i | ||||
\(118\) | 3.72870 | + | 3.72870i | 0.343255 | + | 0.343255i | ||||
\(119\) | 3.28261 | − | 1.98485i | 0.300916 | − | 0.181951i | ||||
\(120\) | 3.76103 | + | 0.924457i | 0.343334 | + | 0.0843910i | ||||
\(121\) | −3.25306 | − | 5.63447i | −0.295733 | − | 0.512224i | ||||
\(122\) | 7.95646 | − | 2.13193i | 0.720344 | − | 0.193016i | ||||
\(123\) | 2.97490 | + | 1.27024i | 0.268238 | + | 0.114534i | ||||
\(124\) | 0.914632 | − | 0.528063i | 0.0821364 | − | 0.0474215i | ||||
\(125\) | −10.6882 | − | 3.28054i | −0.955984 | − | 0.293420i | ||||
\(126\) | 5.62072 | − | 5.60424i | 0.500734 | − | 0.499265i | ||||
\(127\) | −11.2870 | + | 11.2870i | −1.00156 | + | 1.00156i | −0.00155629 | + | 0.999999i | \(0.500495\pi\) |
−0.999999 | + | 0.00155629i | \(0.999505\pi\) | |||||||
\(128\) | −0.965926 | − | 0.258819i | −0.0853766 | − | 0.0228766i | ||||
\(129\) | 4.07547 | − | 1.63652i | 0.358825 | − | 0.144088i | ||||
\(130\) | 1.02859 | − | 10.3277i | 0.0902130 | − | 0.905799i | ||||
\(131\) | −5.01434 | + | 2.89503i | −0.438105 | + | 0.252940i | −0.702793 | − | 0.711394i | \(-0.748064\pi\) |
0.264689 | + | 0.964334i | \(0.414731\pi\) | |||||||
\(132\) | −3.64531 | + | 0.439721i | −0.317283 | + | 0.0382728i | ||||
\(133\) | −9.99956 | + | 10.4127i | −0.867072 | + | 0.902897i | ||||
\(134\) | −9.42528 | −0.814220 | ||||||||
\(135\) | −3.01762 | + | 11.2202i | −0.259715 | + | 0.965685i | ||||
\(136\) | 0.724943 | − | 1.25564i | 0.0621633 | − | 0.107670i | ||||
\(137\) | −10.8253 | + | 2.90062i | −0.924864 | + | 0.247816i | −0.689663 | − | 0.724130i | \(-0.742241\pi\) |
−0.235201 | + | 0.971947i | \(0.575575\pi\) | |||||||
\(138\) | 5.91864 | + | 7.88916i | 0.503828 | + | 0.671570i | ||||
\(139\) | − | 20.1333i | − | 1.70768i | −0.520535 | − | 0.853841i | \(-0.674267\pi\) | ||
0.520535 | − | 0.853841i | \(-0.325733\pi\) | |||||||
\(140\) | 4.50050 | − | 3.83998i | 0.380362 | − | 0.324538i | ||||
\(141\) | 15.1534 | + | 11.8911i | 1.27614 | + | 1.00141i | ||||
\(142\) | 1.69943 | + | 0.455361i | 0.142613 | + | 0.0382131i | ||||
\(143\) | 2.54665 | + | 9.50422i | 0.212961 | + | 0.794782i | ||||
\(144\) | 0.839170 | − | 2.88024i | 0.0699308 | − | 0.240020i | ||||
\(145\) | 9.39885 | − | 13.0859i | 0.780532 | − | 1.08672i | ||||
\(146\) | 1.24957i | 0.103415i | ||||||||
\(147\) | −1.93788 | − | 11.9685i | −0.159833 | − | 0.987144i | ||||
\(148\) | −4.55738 | − | 4.55738i | −0.374615 | − | 0.374615i | ||||
\(149\) | 5.90510 | + | 10.2279i | 0.483765 | + | 0.837905i | 0.999826 | − | 0.0186464i | \(-0.00593567\pi\) |
−0.516061 | + | 0.856552i | \(0.672602\pi\) | |||||||
\(150\) | −2.89043 | + | 8.16366i | −0.236003 | + | 0.666560i | ||||
\(151\) | 4.33354 | − | 7.50591i | 0.352658 | − | 0.610822i | −0.634056 | − | 0.773287i | \(-0.718611\pi\) |
0.986714 | + | 0.162465i | \(0.0519445\pi\) | |||||||
\(152\) | −1.41225 | + | 5.27060i | −0.114549 | + | 0.427502i | ||||
\(153\) | 3.71882 | + | 2.25608i | 0.300649 | + | 0.182393i | ||||
\(154\) | −2.70547 | + | 4.91300i | −0.218013 | + | 0.395901i | ||||
\(155\) | 0.972285 | + | 2.15213i | 0.0780958 | + | 0.172863i | ||||
\(156\) | −7.95874 | − | 1.13579i | −0.637209 | − | 0.0909362i | ||||
\(157\) | 4.51828 | + | 16.8625i | 0.360598 | + | 1.34577i | 0.873291 | + | 0.487198i | \(0.161981\pi\) |
−0.512693 | + | 0.858572i | \(0.671352\pi\) | |||||||
\(158\) | 4.13664 | + | 15.4381i | 0.329093 | + | 1.22819i | ||||
\(159\) | −11.4985 | − | 1.64095i | −0.911888 | − | 0.130136i | ||||
\(160\) | 0.789941 | − | 2.09189i | 0.0624504 | − | 0.165378i | ||||
\(161\) | 15.0621 | − | 0.304865i | 1.18706 | − | 0.0240267i | ||||
\(162\) | 8.58405 | + | 2.70446i | 0.674427 | + | 0.212483i | ||||
\(163\) | 1.34945 | − | 5.03620i | 0.105697 | − | 0.394466i | −0.892726 | − | 0.450599i | \(-0.851210\pi\) |
0.998423 | + | 0.0561330i | \(0.0178771\pi\) | |||||||
\(164\) | 0.933789 | − | 1.61737i | 0.0729167 | − | 0.126295i | ||||
\(165\) | −0.170587 | − | 8.20847i | −0.0132802 | − | 0.639029i | ||||
\(166\) | 6.70130 | + | 11.6070i | 0.520122 | + | 0.900877i | ||||
\(167\) | 5.99458 | + | 5.99458i | 0.463874 | + | 0.463874i | 0.899923 | − | 0.436049i | \(-0.143623\pi\) |
−0.436049 | + | 0.899923i | \(0.643623\pi\) | |||||||
\(168\) | −2.82369 | − | 3.60926i | −0.217852 | − | 0.278461i | ||||
\(169\) | 8.54387i | 0.657221i | ||||||||
\(170\) | 2.63322 | + | 1.89130i | 0.201959 | + | 0.145056i | ||||
\(171\) | −15.7161 | − | 4.57895i | −1.20184 | − | 0.350161i | ||||
\(172\) | −0.656259 | − | 2.44919i | −0.0500393 | − | 0.186749i | ||||
\(173\) | −4.84235 | − | 1.29750i | −0.368157 | − | 0.0986474i | 0.0699972 | − | 0.997547i | \(-0.477701\pi\) |
−0.438154 | + | 0.898900i | \(0.644368\pi\) | |||||||
\(174\) | −9.81790 | − | 7.70426i | −0.744293 | − | 0.584059i | ||||
\(175\) | 7.54686 | + | 10.8648i | 0.570489 | + | 0.821305i | ||||
\(176\) | 2.11988i | 0.159792i | ||||||||
\(177\) | 5.48110 | + | 7.30595i | 0.411985 | + | 0.549148i | ||||
\(178\) | 0.386246 | − | 0.103494i | 0.0289504 | − | 0.00775723i | ||||
\(179\) | −4.04588 | + | 7.00767i | −0.302403 | + | 0.523778i | −0.976680 | − | 0.214701i | \(-0.931122\pi\) |
0.674277 | + | 0.738479i | \(0.264456\pi\) | |||||||
\(180\) | 6.22275 | + | 2.50548i | 0.463816 | + | 0.186747i | ||||
\(181\) | 10.6946 | 0.794924 | 0.397462 | − | 0.917619i | \(-0.369891\pi\) | ||||
0.397462 | + | 0.917619i | \(0.369891\pi\) | |||||||
\(182\) | −8.50602 | + | 8.85747i | −0.630508 | + | 0.656559i | ||||
\(183\) | 14.1645 | − | 1.70861i | 1.04707 | − | 0.126304i | ||||
\(184\) | 4.93126 | − | 2.84706i | 0.363537 | − | 0.209888i | ||||
\(185\) | 11.1504 | − | 9.13052i | 0.819793 | − | 0.671289i | ||||
\(186\) | 1.69752 | − | 0.681646i | 0.124468 | − | 0.0499807i | ||||
\(187\) | −2.96885 | − | 0.795501i | −0.217104 | − | 0.0581728i | ||||
\(188\) | 7.86365 | − | 7.86365i | 0.573516 | − | 0.573516i | ||||
\(189\) | 11.0091 | − | 8.23406i | 0.800794 | − | 0.598940i | ||||
\(190\) | −11.4144 | − | 4.31034i | −0.828090 | − | 0.312705i | ||||
\(191\) | −0.647671 | + | 0.373933i | −0.0468638 | + | 0.0270569i | −0.523249 | − | 0.852180i | \(-0.675280\pi\) |
0.476385 | + | 0.879237i | \(0.341947\pi\) | |||||||
\(192\) | −1.59292 | − | 0.680155i | −0.114959 | − | 0.0490860i | ||||
\(193\) | −8.94254 | + | 2.39615i | −0.643698 | + | 0.172478i | −0.565878 | − | 0.824489i | \(-0.691463\pi\) |
−0.0778200 | + | 0.996967i | \(0.524796\pi\) | |||||||
\(194\) | 6.10509 | + | 10.5743i | 0.438320 | + | 0.759192i | ||||
\(195\) | 4.29090 | − | 17.4570i | 0.307278 | − | 1.25012i | ||||
\(196\) | −6.99427 | + | 0.283250i | −0.499590 | + | 0.0202322i | ||||
\(197\) | −2.71376 | − | 2.71376i | −0.193348 | − | 0.193348i | 0.603793 | − | 0.797141i | \(-0.293655\pi\) |
−0.797141 | + | 0.603793i | \(0.793655\pi\) | |||||||
\(198\) | −6.35813 | − | 0.138035i | −0.451853 | − | 0.00980971i | ||||
\(199\) | 4.85488 | + | 2.80297i | 0.344153 | + | 0.198697i | 0.662107 | − | 0.749409i | \(-0.269662\pi\) |
−0.317954 | + | 0.948106i | \(0.602996\pi\) | |||||||
\(200\) | 4.47952 | + | 2.22124i | 0.316750 | + | 0.157065i | ||||
\(201\) | −16.1613 | − | 2.30638i | −1.13993 | − | 0.162680i | ||||
\(202\) | 3.12705 | − | 3.12705i | 0.220019 | − | 0.220019i | ||||
\(203\) | −18.3101 | + | 5.30556i | −1.28512 | + | 0.372377i | ||||
\(204\) | 1.55030 | − | 1.97562i | 0.108543 | − | 0.138321i | ||||
\(205\) | 3.39181 | + | 2.43615i | 0.236895 | + | 0.170148i | ||||
\(206\) | −9.27271 | − | 5.35360i | −0.646060 | − | 0.373003i | ||||
\(207\) | 8.21808 | + | 14.9757i | 0.571196 | + | 1.04088i | ||||
\(208\) | −1.20132 | + | 4.48338i | −0.0832964 | + | 0.310867i | ||||
\(209\) | 11.5672 | 0.800117 | ||||||||
\(210\) | 8.65657 | − | 5.48305i | 0.597360 | − | 0.378366i | ||||
\(211\) | 14.8448 | 1.02196 | 0.510978 | − | 0.859594i | \(-0.329283\pi\) | ||||
0.510978 | + | 0.859594i | \(0.329283\pi\) | |||||||
\(212\) | −1.73562 | + | 6.47741i | −0.119203 | + | 0.444870i | ||||
\(213\) | 2.80255 | + | 1.19665i | 0.192028 | + | 0.0819932i | ||||
\(214\) | −9.24565 | − | 5.33798i | −0.632020 | − | 0.364897i | ||||
\(215\) | 5.59503 | − | 0.917463i | 0.381578 | − | 0.0625705i | ||||
\(216\) | 2.14371 | − | 4.73334i | 0.145861 | − | 0.322063i | ||||
\(217\) | 0.668438 | − | 2.71312i | 0.0453765 | − | 0.184178i | ||||
\(218\) | −6.05939 | + | 6.05939i | −0.410393 | + | 0.410393i | ||||
\(219\) | −0.305772 | + | 2.14261i | −0.0206622 | + | 0.144784i | ||||
\(220\) | −4.71685 | − | 0.469774i | −0.318010 | − | 0.0316722i | ||||
\(221\) | −5.82809 | − | 3.36485i | −0.392040 | − | 0.226344i | ||||
\(222\) | −6.69925 | − | 8.92965i | −0.449624 | − | 0.599319i | ||||
\(223\) | 5.02812 | + | 5.02812i | 0.336708 | + | 0.336708i | 0.855127 | − | 0.518419i | \(-0.173479\pi\) |
−0.518419 | + | 0.855127i | \(0.673479\pi\) | |||||||
\(224\) | −2.26405 | + | 1.36897i | −0.151273 | + | 0.0914683i | ||||
\(225\) | −6.95383 | + | 13.2908i | −0.463589 | + | 0.886051i | ||||
\(226\) | −5.03803 | − | 8.72612i | −0.335124 | − | 0.580453i | ||||
\(227\) | 11.2410 | − | 3.01201i | 0.746089 | − | 0.199914i | 0.134307 | − | 0.990940i | \(-0.457119\pi\) |
0.611783 | + | 0.791026i | \(0.290453\pi\) | |||||||
\(228\) | −3.71128 | + | 8.69180i | −0.245786 | + | 0.575628i | ||||
\(229\) | 3.58186 | − | 2.06799i | 0.236696 | − | 0.136657i | −0.376961 | − | 0.926229i | \(-0.623031\pi\) |
0.613657 | + | 0.789572i | \(0.289698\pi\) | |||||||
\(230\) | 5.24209 | + | 11.6033i | 0.345653 | + | 0.765096i | ||||
\(231\) | −5.84122 | + | 7.76218i | −0.384324 | + | 0.510714i | ||||
\(232\) | −5.09488 | + | 5.09488i | −0.334495 | + | 0.334495i | ||||
\(233\) | −21.9305 | − | 5.87626i | −1.43671 | − | 0.384967i | −0.545333 | − | 0.838220i | \(-0.683597\pi\) |
−0.891382 | + | 0.453253i | \(0.850263\pi\) | |||||||
\(234\) | −13.3688 | − | 3.89504i | −0.873943 | − | 0.254627i | ||||
\(235\) | 15.7545 | + | 19.2397i | 1.02771 | + | 1.25506i | ||||
\(236\) | 4.56671 | − | 2.63659i | 0.297267 | − | 0.171627i | ||||
\(237\) | 3.31526 | + | 27.4837i | 0.215349 | + | 1.78526i | ||||
\(238\) | −1.06762 | − | 3.68448i | −0.0692034 | − | 0.238829i | ||||
\(239\) | 10.6159 | 0.686682 | 0.343341 | − | 0.939211i | \(-0.388441\pi\) | ||||
0.343341 | + | 0.939211i | \(0.388441\pi\) | |||||||
\(240\) | 1.86638 | − | 3.39361i | 0.120475 | − | 0.219057i | ||||
\(241\) | 10.0635 | − | 17.4304i | 0.648245 | − | 1.12279i | −0.335297 | − | 0.942112i | \(-0.608837\pi\) |
0.983542 | − | 0.180680i | \(-0.0578300\pi\) | |||||||
\(242\) | −6.28443 | + | 1.68391i | −0.403979 | + | 0.108246i | ||||
\(243\) | 14.0571 | + | 6.73782i | 0.901763 | + | 0.432231i | ||||
\(244\) | − | 8.23713i | − | 0.527328i | ||||||
\(245\) | 0.919713 | − | 15.6254i | 0.0587583 | − | 0.998272i | ||||
\(246\) | 1.99692 | − | 2.54477i | 0.127319 | − | 0.162249i | ||||
\(247\) | 24.4637 | + | 6.55502i | 1.55659 | + | 0.417086i | ||||
\(248\) | −0.273346 | − | 1.02014i | −0.0173575 | − | 0.0647789i | ||||
\(249\) | 8.65032 | + | 21.5421i | 0.548192 | + | 1.36517i | ||||
\(250\) | −5.93507 | + | 9.47496i | −0.375367 | + | 0.599249i | ||||
\(251\) | − | 17.8395i | − | 1.12602i | −0.826450 | − | 0.563010i | \(-0.809643\pi\) | ||
0.826450 | − | 0.563010i | \(-0.190357\pi\) | |||||||
\(252\) | −3.95853 | − | 6.87969i | −0.249364 | − | 0.433379i | ||||
\(253\) | −8.53537 | − | 8.53537i | −0.536614 | − | 0.536614i | ||||
\(254\) | 7.98108 | + | 13.8236i | 0.500778 | + | 0.867372i | ||||
\(255\) | 4.05232 | + | 3.88732i | 0.253766 | + | 0.243433i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 0.258140 | − | 0.963390i | 0.0161023 | − | 0.0600946i | −0.957407 | − | 0.288741i | \(-0.906763\pi\) |
0.973510 | + | 0.228646i | \(0.0734300\pi\) | |||||||
\(258\) | −0.525951 | − | 4.36016i | −0.0327443 | − | 0.271452i | ||||
\(259\) | −17.0487 | + | 0.345073i | −1.05935 | + | 0.0214418i | ||||
\(260\) | −9.70957 | − | 3.66654i | −0.602162 | − | 0.227389i | ||||
\(261\) | −14.9493 | − | 15.6128i | −0.925337 | − | 0.966407i | ||||
\(262\) | 1.49858 | + | 5.59277i | 0.0925824 | + | 0.345522i | ||||
\(263\) | 4.46730 | + | 16.6722i | 0.275466 | + | 1.02805i | 0.955529 | + | 0.294898i | \(0.0952857\pi\) |
−0.680063 | + | 0.733153i | \(0.738048\pi\) | |||||||
\(264\) | −0.518738 | + | 3.63491i | −0.0319261 | + | 0.223713i | ||||
\(265\) | −14.0280 | − | 5.29728i | −0.861733 | − | 0.325409i | ||||
\(266\) | 7.46983 | + | 12.3538i | 0.458005 | + | 0.757462i | ||||
\(267\) | 0.687613 | − | 0.0829443i | 0.0420812 | − | 0.00507611i | ||||
\(268\) | −2.43944 | + | 9.10412i | −0.149013 | + | 0.556123i | ||||
\(269\) | −13.8205 | + | 23.9379i | −0.842653 | + | 1.45952i | 0.0449907 | + | 0.998987i | \(0.485674\pi\) |
−0.887644 | + | 0.460531i | \(0.847659\pi\) | |||||||
\(270\) | 10.0569 | + | 5.81881i | 0.612044 | + | 0.354121i | ||||
\(271\) | −2.56520 | − | 4.44305i | −0.155825 | − | 0.269896i | 0.777534 | − | 0.628840i | \(-0.216470\pi\) |
−0.933359 | + | 0.358944i | \(0.883137\pi\) | |||||||
\(272\) | −1.02522 | − | 1.02522i | −0.0621633 | − | 0.0621633i | ||||
\(273\) | −16.7525 | + | 13.1063i | −1.01391 | + | 0.793227i | ||||
\(274\) | 11.2071i | 0.677047i | ||||||||
\(275\) | 2.09055 | − | 10.3912i | 0.126065 | − | 0.626611i | ||||
\(276\) | 9.15220 | − | 3.67511i | 0.550898 | − | 0.221215i | ||||
\(277\) | −7.12965 | − | 26.6082i | −0.428379 | − | 1.59873i | −0.756432 | − | 0.654073i | \(-0.773059\pi\) |
0.328053 | − | 0.944659i | \(-0.393608\pi\) | |||||||
\(278\) | −19.4472 | − | 5.21087i | −1.16637 | − | 0.312527i | ||||
\(279\) | 3.07750 | − | 0.753417i | 0.184245 | − | 0.0451059i | ||||
\(280\) | −2.54432 | − | 5.34101i | −0.152052 | − | 0.319187i | ||||
\(281\) | − | 19.8830i | − | 1.18612i | −0.805157 | − | 0.593062i | \(-0.797919\pi\) | ||
0.805157 | − | 0.593062i | \(-0.202081\pi\) | |||||||
\(282\) | 15.4079 | − | 11.5594i | 0.917526 | − | 0.688351i | ||||
\(283\) | −5.11082 | + | 1.36944i | −0.303807 | + | 0.0814048i | −0.407502 | − | 0.913204i | \(-0.633600\pi\) |
0.103695 | + | 0.994609i | \(0.466933\pi\) | |||||||
\(284\) | 0.879690 | − | 1.52367i | 0.0522000 | − | 0.0904131i | ||||
\(285\) | −18.5173 | − | 10.1840i | −1.09687 | − | 0.603246i | ||||
\(286\) | 9.83949 | 0.581821 | ||||||||
\(287\) | −1.37518 | − | 4.74593i | −0.0811746 | − | 0.280143i | ||||
\(288\) | −2.56491 | − | 1.55604i | −0.151139 | − | 0.0916904i | ||||
\(289\) | −12.9019 | + | 7.44892i | −0.758935 | + | 0.438172i | ||||
\(290\) | −10.2074 | − | 12.4655i | −0.599397 | − | 0.731997i | ||||
\(291\) | 7.88070 | + | 19.6255i | 0.461975 | + | 1.15047i | ||||
\(292\) | 1.20699 | + | 0.323412i | 0.0706338 | + | 0.0189263i | ||||
\(293\) | 21.3392 | − | 21.3392i | 1.24665 | − | 1.24665i | 0.289456 | − | 0.957191i | \(-0.406526\pi\) |
0.957191 | − | 0.289456i | \(-0.0934744\pi\) | |||||||
\(294\) | −12.0622 | − | 1.22583i | −0.703483 | − | 0.0714917i | ||||
\(295\) | 4.85457 | + | 10.7455i | 0.282644 | + | 0.625626i | ||||
\(296\) | −5.58163 | + | 3.22256i | −0.324426 | + | 0.187307i | ||||
\(297\) | −10.8684 | − | 1.79253i | −0.630647 | − | 0.104013i | ||||
\(298\) | 11.4078 | − | 3.05671i | 0.660835 | − | 0.177070i | ||||
\(299\) | −13.2147 | − | 22.8886i | −0.764228 | − | 1.32368i | ||||
\(300\) | 7.13739 | + | 4.90486i | 0.412078 | + | 0.283182i | ||||
\(301\) | −5.87645 | − | 3.23601i | −0.338713 | − | 0.186521i | ||||
\(302\) | −6.12855 | − | 6.12855i | −0.352658 | − | 0.352658i | ||||
\(303\) | 6.12709 | − | 4.59670i | 0.351992 | − | 0.264073i | ||||
\(304\) | 4.72549 | + | 2.72826i | 0.271025 | + | 0.156477i | ||||
\(305\) | 18.3281 | + | 1.82539i | 1.04946 | + | 0.104521i | ||||
\(306\) | 3.14170 | − | 3.00819i | 0.179599 | − | 0.171967i | ||||
\(307\) | 17.8595 | − | 17.8595i | 1.01929 | − | 1.01929i | 0.0194830 | − | 0.999810i | \(-0.493798\pi\) |
0.999810 | − | 0.0194830i | \(-0.00620203\pi\) | |||||||
\(308\) | 4.04537 | + | 3.88486i | 0.230506 | + | 0.221360i | ||||
\(309\) | −14.5897 | − | 11.4488i | −0.829978 | − | 0.651297i | ||||
\(310\) | 2.33045 | − | 0.382143i | 0.132360 | − | 0.0217042i | ||||
\(311\) | −13.1923 | − | 7.61659i | −0.748068 | − | 0.431897i | 0.0769272 | − | 0.997037i | \(-0.475489\pi\) |
−0.824996 | + | 0.565139i | \(0.808822\pi\) | |||||||
\(312\) | −3.15697 | + | 7.39359i | −0.178728 | + | 0.418580i | ||||
\(313\) | −5.90424 | + | 22.0349i | −0.333727 | + | 1.24549i | 0.571515 | + | 0.820591i | \(0.306356\pi\) |
−0.905243 | + | 0.424895i | \(0.860311\pi\) | |||||||
\(314\) | 17.4573 | 0.985172 | ||||||||
\(315\) | 16.1849 | − | 7.28339i | 0.911918 | − | 0.410372i | ||||
\(316\) | 15.9827 | 0.899099 | ||||||||
\(317\) | 1.27984 | − | 4.77643i | 0.0718830 | − | 0.268271i | −0.920625 | − | 0.390447i | \(-0.872321\pi\) |
0.992508 | + | 0.122176i | \(0.0389872\pi\) | |||||||
\(318\) | −4.56106 | + | 10.6820i | −0.255771 | + | 0.599015i | ||||
\(319\) | 13.2279 | + | 7.63712i | 0.740619 | + | 0.427596i | ||||
\(320\) | −1.81616 | − | 1.30445i | −0.101526 | − | 0.0729207i | ||||
\(321\) | −14.5471 | − | 11.4153i | −0.811940 | − | 0.637142i | ||||
\(322\) | 3.60389 | − | 14.6278i | 0.200837 | − | 0.815177i | ||||
\(323\) | −5.59416 | + | 5.59416i | −0.311267 | + | 0.311267i | ||||
\(324\) | 4.83403 | − | 7.59159i | 0.268557 | − | 0.421755i | ||||
\(325\) | 10.3100 | − | 20.7919i | 0.571894 | − | 1.15332i | ||||
\(326\) | −4.51534 | − | 2.60693i | −0.250081 | − | 0.144385i | ||||
\(327\) | −11.8726 | + | 8.90715i | −0.656558 | + | 0.492567i | ||||
\(328\) | −1.32058 | − | 1.32058i | −0.0729167 | − | 0.0729167i | ||||
\(329\) | −0.595415 | − | 29.4171i | −0.0328263 | − | 1.62181i | ||||
\(330\) | −7.97293 | − | 1.95973i | −0.438895 | − | 0.107880i | ||||
\(331\) | 0.118156 | + | 0.204653i | 0.00649446 | + | 0.0112487i | 0.869254 | − | 0.494365i | \(-0.164599\pi\) |
−0.862760 | + | 0.505614i | \(0.831266\pi\) | |||||||
\(332\) | 12.9459 | − | 3.46885i | 0.710500 | − | 0.190378i | ||||
\(333\) | −9.30195 | − | 16.9508i | −0.509744 | − | 0.928898i | ||||
\(334\) | 7.34183 | − | 4.23880i | 0.401727 | − | 0.231937i | ||||
\(335\) | −19.7166 | − | 7.44542i | −1.07723 | − | 0.406787i | ||||
\(336\) | −4.21710 | + | 1.79333i | −0.230062 | + | 0.0978341i | ||||
\(337\) | −0.442376 | + | 0.442376i | −0.0240977 | + | 0.0240977i | −0.719053 | − | 0.694955i | \(-0.755424\pi\) |
0.694955 | + | 0.719053i | \(0.255424\pi\) | |||||||
\(338\) | 8.25275 | + | 2.21132i | 0.448890 | + | 0.120280i | ||||
\(339\) | −6.50329 | − | 16.1953i | −0.353210 | − | 0.879608i | ||||
\(340\) | 2.50838 | − | 2.05399i | 0.136036 | − | 0.111393i | ||||
\(341\) | −1.93891 | + | 1.11943i | −0.104998 | + | 0.0606204i | ||||
\(342\) | −8.49056 | + | 13.9955i | −0.459117 | + | 0.756789i | ||||
\(343\) | −12.2771 | + | 13.8663i | −0.662900 | + | 0.748708i | ||||
\(344\) | −2.53559 | −0.136710 | ||||||||
\(345\) | 6.14916 | + | 21.1786i | 0.331060 | + | 1.14022i | ||||
\(346\) | −2.50658 | + | 4.34153i | −0.134755 | + | 0.233402i | ||||
\(347\) | 3.94296 | − | 1.05651i | 0.211669 | − | 0.0567166i | −0.151426 | − | 0.988469i | \(-0.548387\pi\) |
0.363095 | + | 0.931752i | \(0.381720\pi\) | |||||||
\(348\) | −9.98280 | + | 7.48935i | −0.535134 | + | 0.401471i | ||||
\(349\) | 11.9140i | 0.637743i | 0.947798 | + | 0.318871i | \(0.103304\pi\) | ||||
−0.947798 | + | 0.318871i | \(0.896696\pi\) | |||||||
\(350\) | 12.4479 | − | 4.47767i | 0.665369 | − | 0.239342i | ||||
\(351\) | −21.9700 | − | 9.95010i | −1.17267 | − | 0.531097i | ||||
\(352\) | 2.04764 | + | 0.548664i | 0.109140 | + | 0.0292439i | ||||
\(353\) | −1.82988 | − | 6.82920i | −0.0973946 | − | 0.363482i | 0.899977 | − | 0.435937i | \(-0.143583\pi\) |
−0.997372 | + | 0.0724557i | \(0.976916\pi\) | |||||||
\(354\) | 8.47562 | − | 3.40342i | 0.450474 | − | 0.180890i | ||||
\(355\) | 3.19531 | + | 2.29502i | 0.169589 | + | 0.121807i | ||||
\(356\) | − | 0.399872i | − | 0.0211931i | ||||||
\(357\) | −0.929023 | − | 6.57894i | −0.0491691 | − | 0.348194i | ||||
\(358\) | 5.72174 | + | 5.72174i | 0.302403 | + | 0.302403i | ||||
\(359\) | −4.55001 | − | 7.88085i | −0.240140 | − | 0.415935i | 0.720614 | − | 0.693337i | \(-0.243860\pi\) |
−0.960754 | + | 0.277401i | \(0.910527\pi\) | |||||||
\(360\) | 4.03067 | − | 5.36225i | 0.212435 | − | 0.282615i | ||||
\(361\) | 5.38683 | − | 9.33027i | 0.283518 | − | 0.491067i | ||||
\(362\) | 2.76797 | − | 10.3302i | 0.145481 | − | 0.542943i | ||||
\(363\) | −11.1878 | + | 1.34955i | −0.587209 | + | 0.0708329i | ||||
\(364\) | 6.35414 | + | 10.5087i | 0.333047 | + | 0.550804i | ||||
\(365\) | −0.987086 | + | 2.61396i | −0.0516665 | + | 0.136821i | ||||
\(366\) | 2.01564 | − | 14.1240i | 0.105359 | − | 0.738275i | ||||
\(367\) | 2.86001 | + | 10.6737i | 0.149291 | + | 0.557163i | 0.999527 | + | 0.0307603i | \(0.00979286\pi\) |
−0.850235 | + | 0.526403i | \(0.823540\pi\) | |||||||
\(368\) | −1.47375 | − | 5.50010i | −0.0768244 | − | 0.286713i | ||||
\(369\) | 4.04679 | − | 3.87481i | 0.210667 | − | 0.201715i | ||||
\(370\) | −5.93347 | − | 13.1336i | −0.308466 | − | 0.682784i | ||||
\(371\) | 9.18020 | + | 15.1825i | 0.476612 | + | 0.788236i | ||||
\(372\) | −0.219070 | − | 1.81610i | −0.0113582 | − | 0.0941603i | ||||
\(373\) | 8.87861 | − | 33.1354i | 0.459717 | − | 1.71569i | −0.214120 | − | 0.976807i | \(-0.568688\pi\) |
0.673837 | − | 0.738880i | \(-0.264645\pi\) | |||||||
\(374\) | −1.53679 | + | 2.66180i | −0.0794655 | + | 0.137638i | ||||
\(375\) | −12.4953 | + | 14.7942i | −0.645253 | + | 0.763969i | ||||
\(376\) | −5.56044 | − | 9.63096i | −0.286758 | − | 0.496679i | ||||
\(377\) | 23.6481 | + | 23.6481i | 1.21794 | + | 1.21794i | ||||
\(378\) | −5.10413 | − | 12.7651i | −0.262528 | − | 0.656566i | ||||
\(379\) | − | 17.2109i | − | 0.884063i | −0.897000 | − | 0.442031i | \(-0.854258\pi\) | ||
0.897000 | − | 0.442031i | \(-0.145742\pi\) | |||||||
\(380\) | −7.11774 | + | 9.90990i | −0.365132 | + | 0.508367i | ||||
\(381\) | 10.3023 | + | 25.6561i | 0.527804 | + | 1.31440i | ||||
\(382\) | 0.193562 | + | 0.722383i | 0.00990350 | + | 0.0369604i | ||||
\(383\) | 18.3791 | + | 4.92466i | 0.939128 | + | 0.251639i | 0.695743 | − | 0.718291i | \(-0.255075\pi\) |
0.243385 | + | 0.969930i | \(0.421742\pi\) | |||||||
\(384\) | −1.06926 | + | 1.36260i | −0.0545653 | + | 0.0695351i | ||||
\(385\) | −9.54051 | + | 8.14029i | −0.486230 | + | 0.414867i | ||||
\(386\) | 9.25799i | 0.471220i | ||||||||
\(387\) | 0.165104 | − | 7.60498i | 0.00839270 | − | 0.386583i | ||||
\(388\) | 11.7941 | − | 3.16023i | 0.598756 | − | 0.160436i | ||||
\(389\) | −18.4175 | + | 31.9000i | −0.933804 | + | 1.61740i | −0.157052 | + | 0.987590i | \(0.550199\pi\) |
−0.776752 | + | 0.629806i | \(0.783134\pi\) | |||||||
\(390\) | −15.7516 | − | 8.66289i | −0.797612 | − | 0.438663i | ||||
\(391\) | 8.25583 | 0.417515 | ||||||||
\(392\) | −1.53665 | + | 6.82925i | −0.0776126 | + | 0.344929i | ||||
\(393\) | 1.20102 | + | 9.95650i | 0.0605833 | + | 0.502239i | ||||
\(394\) | −3.32367 | + | 1.91892i | −0.167444 | + | 0.0966739i | ||||
\(395\) | −3.54185 | + | 35.5625i | −0.178210 | + | 1.78935i | ||||
\(396\) | −1.77894 | + | 6.10576i | −0.0893949 | + | 0.306826i | ||||
\(397\) | 19.3405 | + | 5.18227i | 0.970672 | + | 0.260091i | 0.709112 | − | 0.705096i | \(-0.249096\pi\) |
0.261561 | + | 0.965187i | \(0.415763\pi\) | |||||||
\(398\) | 3.96399 | − | 3.96399i | 0.198697 | − | 0.198697i | ||||
\(399\) | 9.78535 | + | 23.0107i | 0.489880 | + | 1.15198i | ||||
\(400\) | 3.30494 | − | 3.75198i | 0.165247 | − | 0.187599i | ||||
\(401\) | −9.00824 | + | 5.20091i | −0.449850 | + | 0.259721i | −0.707767 | − | 0.706446i | \(-0.750297\pi\) |
0.257917 | + | 0.966167i | \(0.416964\pi\) | |||||||
\(402\) | −6.41065 | + | 15.0137i | −0.319734 | + | 0.748815i | ||||
\(403\) | −4.73502 | + | 1.26874i | −0.235868 | + | 0.0632006i | ||||
\(404\) | −2.21116 | − | 3.82984i | −0.110009 | − | 0.190542i | ||||
\(405\) | 15.8205 | + | 12.4383i | 0.786127 | + | 0.618065i | ||||
\(406\) | 0.385771 | + | 19.0594i | 0.0191455 | + | 0.945901i | ||||
\(407\) | 9.66109 | + | 9.66109i | 0.478883 | + | 0.478883i | ||||
\(408\) | −1.50705 | − | 2.00880i | −0.0746103 | − | 0.0994506i | ||||
\(409\) | −13.4035 | − | 7.73849i | −0.662758 | − | 0.382644i | 0.130569 | − | 0.991439i | \(-0.458320\pi\) |
−0.793327 | + | 0.608796i | \(0.791653\pi\) | |||||||
\(410\) | 3.23101 | − | 2.64572i | 0.159568 | − | 0.130663i | ||||
\(411\) | −2.74240 | + | 19.2166i | −0.135273 | + | 0.947886i | ||||
\(412\) | −7.57114 | + | 7.57114i | −0.373003 | + | 0.373003i | ||||
\(413\) | 3.33747 | − | 13.5465i | 0.164226 | − | 0.666577i | ||||
\(414\) | 16.5924 | − | 4.06206i | 0.815471 | − | 0.199640i | ||||
\(415\) | 4.84952 | + | 29.5742i | 0.238054 | + | 1.45174i | ||||
\(416\) | 4.01969 | + | 2.32077i | 0.197082 | + | 0.113785i | ||||
\(417\) | −32.0706 | − | 13.6937i | −1.57051 | − | 0.670586i | ||||
\(418\) | 2.99380 | − | 11.1730i | 0.146432 | − | 0.546490i | ||||
\(419\) | −14.9110 | −0.728451 | −0.364225 | − | 0.931311i | \(-0.618666\pi\) | ||||
−0.364225 | + | 0.931311i | \(0.618666\pi\) | |||||||
\(420\) | −3.05574 | − | 9.78072i | −0.149105 | − | 0.477250i | ||||
\(421\) | −16.5292 | −0.805586 | −0.402793 | − | 0.915291i | \(-0.631960\pi\) | ||||
−0.402793 | + | 0.915291i | \(0.631960\pi\) | |||||||
\(422\) | 3.84211 | − | 14.3389i | 0.187031 | − | 0.698009i | ||||
\(423\) | 29.2482 | − | 16.0503i | 1.42209 | − | 0.780391i | ||||
\(424\) | 5.80749 | + | 3.35295i | 0.282036 | + | 0.162834i | ||||
\(425\) | 4.01438 | + | 6.03647i | 0.194726 | + | 0.292812i | ||||
\(426\) | 1.88123 | − | 2.39734i | 0.0911459 | − | 0.116151i | ||||
\(427\) | −15.7190 | − | 15.0953i | −0.760694 | − | 0.730511i | ||||
\(428\) | −7.54904 | + | 7.54904i | −0.364897 | + | 0.364897i | ||||
\(429\) | 16.8716 | + | 2.40774i | 0.814566 | + | 0.116247i | ||||
\(430\) | 0.561898 | − | 5.64184i | 0.0270971 | − | 0.272074i | ||||
\(431\) | 6.60065 | + | 3.81089i | 0.317942 | + | 0.183564i | 0.650475 | − | 0.759528i | \(-0.274570\pi\) |
−0.332533 | + | 0.943092i | \(0.607903\pi\) | |||||||
\(432\) | −4.01722 | − | 3.29574i | −0.193279 | − | 0.158566i | ||||
\(433\) | −7.94117 | − | 7.94117i | −0.381628 | − | 0.381628i | 0.490060 | − | 0.871689i | \(-0.336975\pi\) |
−0.871689 | + | 0.490060i | \(0.836975\pi\) | |||||||
\(434\) | −2.44767 | − | 1.34787i | −0.117492 | − | 0.0646997i | ||||
\(435\) | −14.4520 | − | 23.8720i | −0.692921 | − | 1.14458i | ||||
\(436\) | 4.28463 | + | 7.42120i | 0.205197 | + | 0.355411i | ||||
\(437\) | −30.0114 | + | 8.04154i | −1.43564 | + | 0.384679i | ||||
\(438\) | 1.99046 | + | 0.849901i | 0.0951079 | + | 0.0406098i | ||||
\(439\) | −11.5080 | + | 6.64413i | −0.549245 | + | 0.317107i | −0.748818 | − | 0.662776i | \(-0.769378\pi\) |
0.199572 | + | 0.979883i | \(0.436045\pi\) | |||||||
\(440\) | −1.67458 | + | 4.43454i | −0.0798324 | + | 0.211409i | ||||
\(441\) | −20.3829 | − | 5.05355i | −0.970613 | − | 0.240645i | ||||
\(442\) | −4.75862 | + | 4.75862i | −0.226344 | + | 0.226344i | ||||
\(443\) | 23.7141 | + | 6.35418i | 1.12669 | + | 0.301896i | 0.773589 | − | 0.633688i | \(-0.218460\pi\) |
0.353104 | + | 0.935584i | \(0.385126\pi\) | |||||||
\(444\) | −10.3593 | + | 4.15981i | −0.491629 | + | 0.197416i | ||||
\(445\) | 0.889738 | + | 0.0886134i | 0.0421776 | + | 0.00420068i | ||||
\(446\) | 6.15816 | − | 3.55542i | 0.291597 | − | 0.168354i | ||||
\(447\) | 20.3087 | − | 2.44976i | 0.960566 | − | 0.115870i | ||||
\(448\) | 0.736347 | + | 2.54122i | 0.0347891 | + | 0.120061i | ||||
\(449\) | 5.93549 | 0.280113 | 0.140056 | − | 0.990144i | \(-0.455272\pi\) | ||||
0.140056 | + | 0.990144i | \(0.455272\pi\) | |||||||
\(450\) | 11.0381 | + | 10.1568i | 0.520341 | + | 0.478795i | ||||
\(451\) | −1.97952 | + | 3.42863i | −0.0932119 | + | 0.161448i | ||||
\(452\) | −9.73272 | + | 2.60787i | −0.457789 | + | 0.122664i | ||||
\(453\) | −9.00882 | − | 12.0082i | −0.423271 | − | 0.564192i | ||||
\(454\) | − | 11.6375i | − | 0.546175i | ||||||
\(455\) | −24.7905 | + | 11.8096i | −1.16220 | + | 0.553641i | ||||
\(456\) | 7.43508 | + | 5.83443i | 0.348180 | + | 0.273222i | ||||
\(457\) | 10.0583 | + | 2.69512i | 0.470508 | + | 0.126072i | 0.486280 | − | 0.873803i | \(-0.338354\pi\) |
−0.0157712 | + | 0.999876i | \(0.505020\pi\) | |||||||
\(458\) | −1.07047 | − | 3.99505i | −0.0500198 | − | 0.186676i | ||||
\(459\) | 6.12312 | − | 4.38930i | 0.285803 | − | 0.204875i | ||||
\(460\) | 12.5646 | − | 2.06033i | 0.585829 | − | 0.0960633i | ||||
\(461\) | 32.7232i | 1.52407i | 0.647535 | + | 0.762035i | \(0.275800\pi\) | ||||
−0.647535 | + | 0.762035i | \(0.724200\pi\) | |||||||
\(462\) | 5.98587 | + | 7.65119i | 0.278488 | + | 0.355966i | ||||
\(463\) | 6.59995 | + | 6.59995i | 0.306726 | + | 0.306726i | 0.843638 | − | 0.536912i | \(-0.180409\pi\) |
−0.536912 | + | 0.843638i | \(0.680409\pi\) | |||||||
\(464\) | 3.60262 | + | 6.23993i | 0.167248 | + | 0.289681i | ||||
\(465\) | 4.08948 | − | 0.0849870i | 0.189645 | − | 0.00394118i | ||||
\(466\) | −11.3521 | + | 19.6623i | −0.525874 | + | 0.910841i | ||||
\(467\) | 0.208078 | − | 0.776556i | 0.00962868 | − | 0.0359347i | −0.960944 | − | 0.276742i | \(-0.910745\pi\) |
0.970573 | + | 0.240807i | \(0.0774121\pi\) | |||||||
\(468\) | −7.22241 | + | 11.9051i | −0.333856 | + | 0.550314i | ||||
\(469\) | 12.9029 | + | 21.3393i | 0.595803 | + | 0.985357i | ||||
\(470\) | 22.6617 | − | 10.2380i | 1.04531 | − | 0.472246i | ||||
\(471\) | 29.9336 | + | 4.27183i | 1.37927 | + | 0.196836i | ||||
\(472\) | −1.36480 | − | 5.09350i | −0.0628200 | − | 0.234447i | ||||
\(473\) | 1.39119 | + | 5.19198i | 0.0639669 | + | 0.238728i | ||||
\(474\) | 27.4052 | + | 3.91100i | 1.25876 | + | 0.179638i | ||||
\(475\) | −20.4728 | − | 18.0335i | −0.939357 | − | 0.827432i | ||||
\(476\) | −3.83525 | + | 0.0776272i | −0.175788 | + | 0.00355804i | ||||
\(477\) | −10.4346 | + | 17.2000i | −0.477770 | + | 0.787535i | ||||
\(478\) | 2.74758 | − | 10.2541i | 0.125672 | − | 0.469013i | ||||
\(479\) | 8.48718 | − | 14.7002i | 0.387789 | − | 0.671670i | −0.604363 | − | 0.796709i | \(-0.706572\pi\) |
0.992152 | + | 0.125039i | \(0.0399056\pi\) | |||||||
\(480\) | −2.79492 | − | 2.68112i | −0.127570 | − | 0.122376i | ||||
\(481\) | 14.9576 | + | 25.9074i | 0.682009 | + | 1.18127i | ||||
\(482\) | −14.2319 | − | 14.2319i | −0.648245 | − | 0.648245i | ||||
\(483\) | 9.75897 | − | 24.2001i | 0.444049 | − | 1.10114i | ||||
\(484\) | 6.50612i | 0.295733i | ||||||||
\(485\) | 4.41806 | + | 26.9430i | 0.200614 | + | 1.22342i | ||||
\(486\) | 10.1465 | − | 11.8342i | 0.460253 | − | 0.536812i | ||||
\(487\) | −4.13903 | − | 15.4471i | −0.187557 | − | 0.699974i | −0.994069 | − | 0.108755i | \(-0.965314\pi\) |
0.806511 | − | 0.591219i | \(-0.201353\pi\) | |||||||
\(488\) | −7.95646 | − | 2.13193i | −0.360172 | − | 0.0965078i | ||||
\(489\) | −7.10443 | − | 5.57496i | −0.321273 | − | 0.252108i | ||||
\(490\) | −14.8550 | − | 4.93253i | −0.671079 | − | 0.222829i | ||||
\(491\) | 6.87591i | 0.310305i | 0.987891 | + | 0.155153i | \(0.0495869\pi\) | ||||
−0.987891 | + | 0.155153i | \(0.950413\pi\) | |||||||
\(492\) | −1.94122 | − | 2.58751i | −0.0875168 | − | 0.116654i | ||||
\(493\) | −10.0908 | + | 2.70383i | −0.454468 | + | 0.121774i | ||||
\(494\) | 12.6633 | − | 21.9335i | 0.569750 | − | 0.986837i | ||||
\(495\) | −13.1915 | − | 5.31131i | −0.592912 | − | 0.238725i | ||||
\(496\) | −1.05613 | −0.0474215 | ||||||||
\(497\) | −1.29551 | − | 4.47097i | −0.0581117 | − | 0.200550i | ||||
\(498\) | 23.0469 | − | 2.78007i | 1.03276 | − | 0.124578i | ||||
\(499\) | 26.8381 | − | 15.4950i | 1.20144 | − | 0.693651i | 0.240564 | − | 0.970633i | \(-0.422668\pi\) |
0.960875 | + | 0.276982i | \(0.0893343\pi\) | |||||||
\(500\) | 7.61600 | + | 8.18514i | 0.340598 | + | 0.366051i | ||||
\(501\) | 13.6261 | − | 5.47163i | 0.608770 | − | 0.244454i | ||||
\(502\) | −17.2316 | − | 4.61720i | −0.769085 | − | 0.206076i | ||||
\(503\) | 19.3755 | − | 19.3755i | 0.863913 | − | 0.863913i | −0.127877 | − | 0.991790i | \(-0.540816\pi\) |
0.991790 | + | 0.127877i | \(0.0408164\pi\) | |||||||
\(504\) | −7.66981 | + | 2.04305i | −0.341640 | + | 0.0910046i | ||||
\(505\) | 9.01164 | − | 4.07126i | 0.401013 | − | 0.181168i | ||||
\(506\) | −10.4537 | + | 6.03542i | −0.464722 | + | 0.268307i | ||||
\(507\) | 13.6097 | + | 5.81116i | 0.604428 | + | 0.258083i | ||||
\(508\) | 15.4183 | − | 4.13131i | 0.684075 | − | 0.183297i | ||||
\(509\) | −10.4397 | − | 18.0821i | −0.462733 | − | 0.801477i | 0.536363 | − | 0.843987i | \(-0.319798\pi\) |
−0.999096 | + | 0.0425105i | \(0.986464\pi\) | |||||||
\(510\) | 4.80368 | − | 2.90813i | 0.212710 | − | 0.128774i | ||||
\(511\) | 2.82909 | − | 1.71063i | 0.125151 | − | 0.0756736i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | −17.9833 | + | 21.9201i | −0.793982 | + | 0.967795i | ||||
\(514\) | −0.863752 | − | 0.498688i | −0.0380985 | − | 0.0219962i | ||||
\(515\) | −15.1684 | − | 18.5240i | −0.668401 | − | 0.816266i | ||||
\(516\) | −4.34772 | − | 0.620464i | −0.191398 | − | 0.0273144i | ||||
\(517\) | −16.6700 | + | 16.6700i | −0.733144 | + | 0.733144i | ||||
\(518\) | −4.07921 | + | 16.5571i | −0.179230 | + | 0.727476i | ||||
\(519\) | −5.36037 | + | 6.83096i | −0.235294 | + | 0.299846i | ||||
\(520\) | −6.05463 | + | 8.42976i | −0.265513 | + | 0.369669i | ||||
\(521\) | −18.9520 | − | 10.9419i | −0.830300 | − | 0.479374i | 0.0236551 | − | 0.999720i | \(-0.492470\pi\) |
−0.853956 | + | 0.520346i | \(0.825803\pi\) | |||||||
\(522\) | −18.9500 | + | 10.3990i | −0.829417 | + | 0.455152i | ||||
\(523\) | −3.39310 | + | 12.6632i | −0.148370 | + | 0.553724i | 0.851212 | + | 0.524822i | \(0.175868\pi\) |
−0.999582 | + | 0.0289028i | \(0.990799\pi\) | |||||||
\(524\) | 5.79006 | 0.252940 | ||||||||
\(525\) | 22.4399 | − | 4.63174i | 0.979355 | − | 0.202146i | ||||
\(526\) | 17.2603 | 0.752586 | ||||||||
\(527\) | 0.396320 | − | 1.47909i | 0.0172640 | − | 0.0644300i | ||||
\(528\) | 3.37679 | + | 1.44185i | 0.146956 | + | 0.0627483i | ||||
\(529\) | 8.16059 | + | 4.71152i | 0.354808 | + | 0.204849i | ||||
\(530\) | −8.74749 | + | 12.1790i | −0.379967 | + | 0.529021i | ||||
\(531\) | 15.3658 | − | 3.76177i | 0.666818 | − | 0.163247i | ||||
\(532\) | 13.8662 | − | 4.01789i | 0.601177 | − | 0.174198i | ||||
\(533\) | −6.12951 | + | 6.12951i | −0.265499 | + | 0.265499i | ||||
\(534\) | 0.0978493 | − | 0.685651i | 0.00423435 | − | 0.0296710i | ||||
\(535\) | −15.1242 | − | 18.4700i | −0.653875 | − | 0.798527i | ||||
\(536\) | 8.16253 | + | 4.71264i | 0.352568 | + | 0.203555i | ||||
\(537\) | 8.41082 | + | 11.2111i | 0.362954 | + | 0.483793i | ||||
\(538\) | 19.5452 | + | 19.5452i | 0.842653 | + | 0.842653i | ||||
\(539\) | 14.8270 | − | 0.600456i | 0.638643 | − | 0.0258635i | ||||
\(540\) | 8.22346 | − | 8.20821i | 0.353881 | − | 0.353225i | ||||
\(541\) | −11.6807 | − | 20.2316i | −0.502194 | − | 0.869826i | −0.999997 | − | 0.00253553i | \(-0.999193\pi\) |
0.497803 | − | 0.867290i | \(-0.334140\pi\) | |||||||
\(542\) | −4.95558 | + | 1.32784i | −0.212860 | + | 0.0570358i | ||||
\(543\) | 7.27399 | − | 17.0356i | 0.312157 | − | 0.731069i | ||||
\(544\) | −1.25564 | + | 0.724943i | −0.0538350 | + | 0.0310817i | ||||
\(545\) | −17.4621 | + | 7.88899i | −0.747995 | + | 0.337927i | ||||
\(546\) | 8.32381 | + | 19.5738i | 0.356226 | + | 0.837683i | ||||
\(547\) | −2.60152 | + | 2.60152i | −0.111233 | + | 0.111233i | −0.760533 | − | 0.649300i | \(-0.775062\pi\) |
0.649300 | + | 0.760533i | \(0.275062\pi\) | |||||||
\(548\) | 10.8253 | + | 2.90062i | 0.462432 | + | 0.123908i | ||||
\(549\) | 6.91236 | − | 23.7249i | 0.295012 | − | 1.01256i | ||||
\(550\) | −9.49603 | − | 4.70875i | −0.404912 | − | 0.200782i | ||||
\(551\) | 34.0483 | − | 19.6578i | 1.45051 | − | 0.837451i | ||||
\(552\) | −1.18112 | − | 9.79153i | −0.0502717 | − | 0.416755i | ||||
\(553\) | 29.2897 | − | 30.4999i | 1.24553 | − | 1.29699i | ||||
\(554\) | −27.5468 | −1.17035 | ||||||||
\(555\) | −6.96017 | − | 23.9718i | −0.295443 | − | 1.01755i | ||||
\(556\) | −10.0666 | + | 17.4359i | −0.426920 | + | 0.739448i | ||||
\(557\) | 36.8670 | − | 9.87848i | 1.56211 | − | 0.418565i | 0.628776 | − | 0.777587i | \(-0.283556\pi\) |
0.933329 | + | 0.359022i | \(0.116890\pi\) | |||||||
\(558\) | 0.0687692 | − | 3.16763i | 0.00291123 | − | 0.134097i | ||||
\(559\) | 11.7690i | 0.497777i | ||||||||
\(560\) | −5.81754 | + | 1.07527i | −0.245836 | + | 0.0454384i | ||||
\(561\) | −3.28645 | + | 4.18807i | −0.138754 | + | 0.176820i | ||||
\(562\) | −19.2055 | − | 5.14611i | −0.810137 | − | 0.217076i | ||||
\(563\) | −1.02963 | − | 3.84263i | −0.0433937 | − | 0.161948i | 0.940829 | − | 0.338882i | \(-0.110049\pi\) |
−0.984223 | + | 0.176934i | \(0.943382\pi\) | |||||||
\(564\) | −7.17765 | − | 17.8747i | −0.302234 | − | 0.752659i | ||||
\(565\) | −3.64586 | − | 22.2338i | −0.153383 | − | 0.935383i | ||||
\(566\) | 5.29112i | 0.222402i | ||||||||
\(567\) | −5.62829 | − | 23.1370i | −0.236366 | − | 0.971664i | ||||
\(568\) | −1.24407 | − | 1.24407i | −0.0522000 | − | 0.0522000i | ||||
\(569\) | −2.50482 | − | 4.33847i | −0.105007 | − | 0.181878i | 0.808734 | − | 0.588175i | \(-0.200153\pi\) |
−0.913741 | + | 0.406297i | \(0.866820\pi\) | |||||||
\(570\) | −14.6296 | + | 15.2506i | −0.612767 | + | 0.638776i | ||||
\(571\) | −16.4609 | + | 28.5111i | −0.688867 | + | 1.19315i | 0.283338 | + | 0.959020i | \(0.408558\pi\) |
−0.972205 | + | 0.234132i | \(0.924775\pi\) | |||||||
\(572\) | 2.54665 | − | 9.50422i | 0.106481 | − | 0.397391i | ||||
\(573\) | 0.155128 | + | 1.28602i | 0.00648057 | + | 0.0537243i | ||||
\(574\) | −4.94014 | + | 0.0999906i | −0.206197 | + | 0.00417353i | ||||
\(575\) | 1.79997 | + | 28.4137i | 0.0750641 | + | 1.18493i | ||||
\(576\) | −2.16686 | + | 2.07478i | −0.0902860 | + | 0.0864491i | ||||
\(577\) | 5.90675 | + | 22.0443i | 0.245901 | + | 0.917716i | 0.972928 | + | 0.231107i | \(0.0742347\pi\) |
−0.727027 | + | 0.686609i | \(0.759099\pi\) | |||||||
\(578\) | 3.85584 | + | 14.3902i | 0.160382 | + | 0.598553i | ||||
\(579\) | −2.26545 | + | 15.8745i | −0.0941489 | + | 0.659721i | ||||
\(580\) | −14.6826 | + | 6.63326i | −0.609660 | + | 0.275431i | ||||
\(581\) | 17.1049 | − | 31.0617i | 0.709631 | − | 1.28866i | ||||
\(582\) | 20.9964 | − | 2.53273i | 0.870330 | − | 0.104985i | ||||
\(583\) | 3.67929 | − | 13.7313i | 0.152381 | − | 0.568693i | ||||
\(584\) | 0.624785 | − | 1.08216i | 0.0258538 | − | 0.0447800i | ||||
\(585\) | −24.8891 | − | 18.7085i | −1.02904 | − | 0.773502i | ||||
\(586\) | −15.0891 | − | 26.1350i | −0.623324 | − | 1.07963i | ||||
\(587\) | −29.3071 | − | 29.3071i | −1.20963 | − | 1.20963i | −0.971145 | − | 0.238489i | \(-0.923348\pi\) |
−0.238489 | − | 0.971145i | \(-0.576652\pi\) | |||||||
\(588\) | −4.30599 | + | 11.3340i | −0.177576 | + | 0.467404i | ||||
\(589\) | 5.76278i | 0.237451i | ||||||||
\(590\) | 11.6358 | − | 1.90802i | 0.479038 | − | 0.0785519i | ||||
\(591\) | −6.16859 | + | 2.47702i | −0.253742 | + | 0.101891i | ||||
\(592\) | 1.66812 | + | 6.22550i | 0.0685593 | + | 0.255867i | ||||
\(593\) | 21.0623 | + | 5.64362i | 0.864925 | + | 0.231756i | 0.663892 | − | 0.747829i | \(-0.268904\pi\) |
0.201033 | + | 0.979584i | \(0.435570\pi\) | |||||||
\(594\) | −4.54439 | + | 10.0341i | −0.186459 | + | 0.411704i | ||||
\(595\) | 0.677184 | − | 8.55087i | 0.0277618 | − | 0.350551i | ||||
\(596\) | − | 11.8102i | − | 0.483765i | ||||||
\(597\) | 7.76697 | − | 5.82698i | 0.317881 | − | 0.238482i | ||||
\(598\) | −25.5289 | + | 6.84045i | −1.04396 | + | 0.279727i | ||||
\(599\) | 6.91835 | − | 11.9829i | 0.282676 | − | 0.489610i | −0.689367 | − | 0.724413i | \(-0.742111\pi\) |
0.972043 | + | 0.234803i | \(0.0754445\pi\) | |||||||
\(600\) | 6.58502 | − | 5.62472i | 0.268832 | − | 0.229628i | ||||
\(601\) | 7.92094 | 0.323102 | 0.161551 | − | 0.986864i | \(-0.448350\pi\) | ||||
0.161551 | + | 0.986864i | \(0.448350\pi\) | |||||||
\(602\) | −4.64669 | + | 4.83868i | −0.189385 | + | 0.197210i | ||||
\(603\) | −14.6661 | + | 24.1750i | −0.597249 | + | 0.984481i | ||||
\(604\) | −7.50591 | + | 4.33354i | −0.305411 | + | 0.176329i | ||||
\(605\) | −14.4765 | − | 1.44179i | −0.588554 | − | 0.0586170i | ||||
\(606\) | −2.85426 | − | 7.10802i | −0.115946 | − | 0.288744i | ||||
\(607\) | −31.9387 | − | 8.55795i | −1.29635 | − | 0.347356i | −0.456282 | − | 0.889835i | \(-0.650819\pi\) |
−0.840070 | + | 0.542479i | \(0.817486\pi\) | |||||||
\(608\) | 3.85835 | − | 3.85835i | 0.156477 | − | 0.156477i | ||||
\(609\) | −4.00240 | + | 32.7751i | −0.162185 | + | 1.32811i | ||||
\(610\) | 6.50685 | − | 17.2312i | 0.263455 | − | 0.697669i | ||||
\(611\) | −44.7025 | + | 25.8090i | −1.80847 | + | 1.04412i | ||||
\(612\) | −2.09256 | − | 3.81323i | −0.0845866 | − | 0.154141i | ||||
\(613\) | −9.17128 | + | 2.45744i | −0.370424 | + | 0.0992549i | −0.439229 | − | 0.898375i | \(-0.644748\pi\) |
0.0688043 | + | 0.997630i | \(0.478082\pi\) | |||||||
\(614\) | −12.6285 | − | 21.8733i | −0.509647 | − | 0.882734i | ||||
\(615\) | 6.18755 | − | 3.74592i | 0.249506 | − | 0.151050i | ||||
\(616\) | 4.79950 | − | 2.90205i | 0.193378 | − | 0.116927i | ||||
\(617\) | −13.7827 | − | 13.7827i | −0.554873 | − | 0.554873i | 0.372971 | − | 0.927843i | \(-0.378339\pi\) |
−0.927843 | + | 0.372971i | \(0.878339\pi\) | |||||||
\(618\) | −14.8347 | + | 11.1294i | −0.596741 | + | 0.447690i | ||||
\(619\) | 6.45537 | + | 3.72701i | 0.259463 | + | 0.149801i | 0.624090 | − | 0.781353i | \(-0.285470\pi\) |
−0.364626 | + | 0.931154i | \(0.618803\pi\) | |||||||
\(620\) | 0.234042 | − | 2.34994i | 0.00939937 | − | 0.0943760i | ||||
\(621\) | 29.4446 | − | 2.90495i | 1.18157 | − | 0.116571i | ||||
\(622\) | −10.7715 | + | 10.7715i | −0.431897 | + | 0.431897i | ||||
\(623\) | −0.763077 | − | 0.732799i | −0.0305720 | − | 0.0293590i | ||||
\(624\) | 6.32458 | + | 4.96300i | 0.253186 | + | 0.198679i | ||||
\(625\) | −19.9002 | + | 15.1322i | −0.796007 | + | 0.605288i | ||||
\(626\) | 19.7560 | + | 11.4061i | 0.789607 | + | 0.455880i | ||||
\(627\) | 7.86747 | − | 18.4255i | 0.314196 | − | 0.735845i | ||||
\(628\) | 4.51828 | − | 16.8625i | 0.180299 | − | 0.672885i | ||||
\(629\) | −9.34468 | −0.372597 | ||||||||
\(630\) | −2.84624 | − | 17.5185i | −0.113397 | − | 0.697955i | ||||
\(631\) | −49.0067 | −1.95093 | −0.975463 | − | 0.220162i | \(-0.929342\pi\) | ||||
−0.975463 | + | 0.220162i | \(0.929342\pi\) | |||||||
\(632\) | 4.13664 | − | 15.4381i | 0.164547 | − | 0.614096i | ||||
\(633\) | 10.0967 | − | 23.6465i | 0.401310 | − | 0.939864i | ||||
\(634\) | −4.28243 | − | 2.47246i | −0.170077 | − | 0.0981940i | ||||
\(635\) | 5.77566 | + | 35.2221i | 0.229200 | + | 1.39775i | ||||
\(636\) | 9.13750 | + | 7.17034i | 0.362325 | + | 0.284322i | ||||
\(637\) | 31.6982 | + | 7.13242i | 1.25593 | + | 0.282597i | ||||
\(638\) | 10.8005 | − | 10.8005i | 0.427596 | − | 0.427596i | ||||
\(639\) | 3.81234 | − | 3.65032i | 0.150814 | − | 0.144405i | ||||
\(640\) | −1.73005 | + | 1.41666i | −0.0683864 | + | 0.0559983i | ||||
\(641\) | 20.1256 | + | 11.6195i | 0.794915 | + | 0.458944i | 0.841690 | − | 0.539961i | \(-0.181561\pi\) |
−0.0467751 | + | 0.998905i | \(0.514894\pi\) | |||||||
\(642\) | −14.7914 | + | 11.0969i | −0.583772 | + | 0.437960i | ||||
\(643\) | 15.5301 | + | 15.5301i | 0.612445 | + | 0.612445i | 0.943583 | − | 0.331137i | \(-0.107432\pi\) |
−0.331137 | + | 0.943583i | \(0.607432\pi\) | |||||||
\(644\) | −13.1966 | − | 7.26705i | −0.520020 | − | 0.286362i | ||||
\(645\) | 2.34404 | − | 9.53644i | 0.0922966 | − | 0.375497i | ||||
\(646\) | 3.95567 | + | 6.85142i | 0.155634 | + | 0.269565i | ||||
\(647\) | 41.7186 | − | 11.1785i | 1.64013 | − | 0.439471i | 0.683303 | − | 0.730135i | \(-0.260543\pi\) |
0.956825 | + | 0.290663i | \(0.0938760\pi\) | |||||||
\(648\) | −6.08177 | − | 6.63416i | −0.238915 | − | 0.260614i | ||||
\(649\) | −9.68086 | + | 5.58925i | −0.380007 | + | 0.219397i | ||||
\(650\) | −17.4150 | − | 15.3400i | −0.683072 | − | 0.601684i | ||||
\(651\) | −3.86713 | − | 2.91011i | −0.151565 | − | 0.114056i | ||||
\(652\) | −3.68676 | + | 3.68676i | −0.144385 | + | 0.144385i | ||||
\(653\) | −24.1492 | − | 6.47076i | −0.945031 | − | 0.253220i | −0.246778 | − | 0.969072i | \(-0.579372\pi\) |
−0.698252 | + | 0.715852i | \(0.746039\pi\) | |||||||
\(654\) | 5.53078 | + | 13.7734i | 0.216271 | + | 0.538584i | ||||
\(655\) | −1.28310 | + | 12.8832i | −0.0501350 | + | 0.503389i | ||||
\(656\) | −1.61737 | + | 0.933789i | −0.0631477 | + | 0.0364583i | ||||
\(657\) | 3.20503 | + | 1.94438i | 0.125040 | + | 0.0758573i | ||||
\(658\) | −28.5688 | − | 7.03857i | −1.11373 | − | 0.274392i | ||||
\(659\) | 20.0343 | 0.780425 | 0.390213 | − | 0.920725i | \(-0.372401\pi\) | ||||
0.390213 | + | 0.920725i | \(0.372401\pi\) | |||||||
\(660\) | −3.95650 | + | 7.19404i | −0.154007 | + | 0.280028i | ||||
\(661\) | −6.62569 | + | 11.4760i | −0.257709 | + | 0.446366i | −0.965628 | − | 0.259928i | \(-0.916301\pi\) |
0.707918 | + | 0.706294i | \(0.249634\pi\) | |||||||
\(662\) | 0.228261 | − | 0.0611622i | 0.00887160 | − | 0.00237714i | ||||
\(663\) | −9.32394 | + | 6.99505i | −0.362112 | + | 0.271665i | ||||
\(664\) | − | 13.4026i | − | 0.520122i | ||||||
\(665\) | 5.86723 | + | 31.7436i | 0.227522 | + | 1.23096i | ||||
\(666\) | −18.7807 | + | 4.59781i | −0.727739 | + | 0.178161i | ||||
\(667\) | −39.6296 | − | 10.6187i | −1.53446 | − | 0.411158i | ||||
\(668\) | −2.19417 | − | 8.18874i | −0.0848949 | − | 0.316832i | ||||
\(669\) | 11.4293 | − | 4.58948i | 0.441882 | − | 0.177440i | ||||
\(670\) | −12.2948 | + | 17.1178i | −0.474988 | + | 0.661318i | ||||
\(671\) | 17.4617i | 0.674102i | ||||||||
\(672\) | 0.640756 | + | 4.53756i | 0.0247177 | + | 0.175040i | ||||
\(673\) | −18.6445 | − | 18.6445i | −0.718692 | − | 0.718692i | 0.249645 | − | 0.968337i | \(-0.419686\pi\) |
−0.968337 | + | 0.249645i | \(0.919686\pi\) | |||||||
\(674\) | 0.312807 | + | 0.541798i | 0.0120489 | + | 0.0208693i | ||||
\(675\) | 16.4414 | + | 20.1167i | 0.632830 | + | 0.774291i | ||||
\(676\) | 4.27194 | − | 7.39921i | 0.164305 | − | 0.284585i | ||||
\(677\) | −12.8090 | + | 47.8038i | −0.492290 | + | 1.83725i | 0.0524196 | + | 0.998625i | \(0.483307\pi\) |
−0.544709 | + | 0.838625i | \(0.683360\pi\) | |||||||
\(678\) | −17.3266 | + | 2.09005i | −0.665425 | + | 0.0802679i | ||||
\(679\) | 15.5831 | − | 28.2982i | 0.598024 | − | 1.08598i | ||||
\(680\) | −1.33479 | − | 2.95452i | −0.0511867 | − | 0.113301i | ||||
\(681\) | 2.84772 | − | 19.9546i | 0.109125 | − | 0.764661i | ||||
\(682\) | 0.579459 | + | 2.16257i | 0.0221886 | + | 0.0828091i | ||||
\(683\) | −2.56877 | − | 9.58678i | −0.0982913 | − | 0.366828i | 0.899207 | − | 0.437524i | \(-0.144145\pi\) |
−0.997498 | + | 0.0706962i | \(0.977478\pi\) | |||||||
\(684\) | 11.3211 | + | 11.8235i | 0.432872 | + | 0.452085i | ||||
\(685\) | −8.85297 | + | 23.4440i | −0.338255 | + | 0.895751i | ||||
\(686\) | 10.2162 | + | 15.4476i | 0.390058 | + | 0.589792i | ||||
\(687\) | −0.857916 | − | 7.11217i | −0.0327315 | − | 0.271346i | ||||
\(688\) | −0.656259 | + | 2.44919i | −0.0250196 | + | 0.0933746i | ||||
\(689\) | 15.5629 | − | 26.9557i | 0.592898 | − | 1.02693i | ||||
\(690\) | 22.0485 | − | 0.458209i | 0.839371 | − | 0.0174437i | ||||
\(691\) | −3.42873 | − | 5.93874i | −0.130435 | − | 0.225920i | 0.793409 | − | 0.608689i | \(-0.208304\pi\) |
−0.923844 | + | 0.382768i | \(0.874971\pi\) | |||||||
\(692\) | 3.54485 | + | 3.54485i | 0.134755 | + | 0.134755i | ||||
\(693\) | 8.39159 | + | 14.5841i | 0.318770 | + | 0.554004i | ||||
\(694\) | − | 4.08205i | − | 0.154953i | ||||||
\(695\) | −36.5651 | − | 26.2627i | −1.38700 | − | 0.996202i | ||||
\(696\) | 4.65042 | + | 11.5810i | 0.176274 | + | 0.438978i | ||||
\(697\) | −0.700824 | − | 2.61551i | −0.0265456 | − | 0.0990695i | ||||
\(698\) | 11.5081 | + | 3.08358i | 0.435587 | + | 0.116715i | ||||
\(699\) | −24.2765 | + | 30.9367i | −0.918223 | + | 1.17013i | ||||
\(700\) | −1.10334 | − | 13.1827i | −0.0417025 | − | 0.498258i | ||||
\(701\) | − | 28.8845i | − | 1.09095i | −0.838127 | − | 0.545476i | \(-0.816349\pi\) | ||
0.838127 | − | 0.545476i | \(-0.183651\pi\) | |||||||
\(702\) | −15.2973 | + | 18.6461i | −0.577360 | + | 0.703752i | ||||
\(703\) | 33.9696 | − | 9.10213i | 1.28119 | − | 0.343293i | ||||
\(704\) | 1.05994 | − | 1.83587i | 0.0399479 | − | 0.0691918i | ||||
\(705\) | 41.3628 | − | 12.0096i | 1.55781 | − | 0.452307i | ||||
\(706\) | −7.07011 | −0.266087 | ||||||||
\(707\) | −11.3607 | − | 2.79895i | −0.427261 | − | 0.105265i | ||||
\(708\) | −1.09380 | − | 9.06769i | −0.0411076 | − | 0.340785i | ||||
\(709\) | −21.3823 | + | 12.3450i | −0.803027 | + | 0.463628i | −0.844529 | − | 0.535510i | \(-0.820119\pi\) |
0.0415013 | + | 0.999138i | \(0.486786\pi\) | |||||||
\(710\) | 3.04382 | − | 2.49244i | 0.114233 | − | 0.0935395i | ||||
\(711\) | 46.0341 | + | 13.4122i | 1.72641 | + | 0.502998i | ||||
\(712\) | −0.386246 | − | 0.103494i | −0.0144752 | − | 0.00387862i | ||||
\(713\) | 4.25234 | − | 4.25234i | 0.159251 | − | 0.159251i | ||||
\(714\) | −6.59522 | − | 0.805388i | −0.246820 | − | 0.0301409i | ||||
\(715\) | 20.5831 | + | 7.77262i | 0.769764 | + | 0.290679i | ||||
\(716\) | 7.00767 | − | 4.04588i | 0.261889 | − | 0.151202i | ||||
\(717\) | 7.22043 | − | 16.9102i | 0.269652 | − | 0.631522i | ||||
\(718\) | −8.78994 | + | 2.35526i | −0.328038 | + | 0.0878975i | ||||
\(719\) | 11.2630 | + | 19.5080i | 0.420038 | + | 0.727527i | 0.995943 | − | 0.0899900i | \(-0.0286835\pi\) |
−0.575905 | + | 0.817517i | \(0.695350\pi\) | |||||||
\(720\) | −4.13632 | − | 5.28118i | −0.154151 | − | 0.196818i | ||||
\(721\) | 0.573266 | + | 28.3228i | 0.0213496 | + | 1.05480i | ||||
\(722\) | −7.61813 | − | 7.61813i | −0.283518 | − | 0.283518i | ||||
\(723\) | −20.9205 | − | 27.8857i | −0.778043 | − | 1.03708i | ||||
\(724\) | −9.26180 | − | 5.34730i | −0.344212 | − | 0.198731i | ||||
\(725\) | −11.5057 | − | 34.1396i | −0.427310 | − | 1.26791i | ||||
\(726\) | −1.59206 | + | 11.1559i | −0.0590869 | + | 0.414035i | ||||
\(727\) | 6.61815 | − | 6.61815i | 0.245454 | − | 0.245454i | −0.573648 | − | 0.819102i | \(-0.694472\pi\) |
0.819102 | + | 0.573648i | \(0.194472\pi\) | |||||||
\(728\) | 11.7952 | − | 3.41778i | 0.437158 | − | 0.126671i | ||||
\(729\) | 20.2938 | − | 17.8090i | 0.751622 | − | 0.659594i | ||||
\(730\) | 2.26941 | + | 1.62999i | 0.0839947 | + | 0.0603288i | ||||
\(731\) | −3.18378 | − | 1.83816i | −0.117756 | − | 0.0679867i | ||||
\(732\) | −13.1211 | − | 5.60253i | −0.484969 | − | 0.207075i | ||||
\(733\) | 0.500074 | − | 1.86630i | 0.0184707 | − | 0.0689334i | −0.956075 | − | 0.293121i | \(-0.905306\pi\) |
0.974546 | + | 0.224188i | \(0.0719728\pi\) | |||||||
\(734\) | 11.0502 | 0.407872 | ||||||||
\(735\) | −24.2645 | − | 12.0927i | −0.895009 | − | 0.446048i | ||||
\(736\) | −5.69412 | −0.209888 | ||||||||
\(737\) | 5.17132 | − | 19.2996i | 0.190488 | − | 0.710911i | ||||
\(738\) | −2.69539 | − | 4.91177i | −0.0992188 | − | 0.180805i | ||||
\(739\) | 9.70996 | + | 5.60605i | 0.357187 | + | 0.206222i | 0.667846 | − | 0.744299i | \(-0.267216\pi\) |
−0.310659 | + | 0.950521i | \(0.600550\pi\) | |||||||
\(740\) | −14.2218 | + | 2.33206i | −0.522803 | + | 0.0857284i | ||||
\(741\) | 27.0807 | − | 34.5102i | 0.994835 | − | 1.26776i | ||||
\(742\) | 17.0412 | − | 4.93787i | 0.625601 | − | 0.181275i | ||||
\(743\) | 11.6014 | − | 11.6014i | 0.425613 | − | 0.425613i | −0.461518 | − | 0.887131i | \(-0.652695\pi\) |
0.887131 | + | 0.461518i | \(0.152695\pi\) | |||||||
\(744\) | −1.81092 | − | 0.258436i | −0.0663914 | − | 0.00947473i | ||||
\(745\) | 26.2784 | + | 2.61720i | 0.962767 | + | 0.0958866i | ||||
\(746\) | −29.7084 | − | 17.1522i | −1.08770 | − | 0.627985i | ||||
\(747\) | 40.1983 | + | 0.872704i | 1.47078 | + | 0.0319306i | ||||
\(748\) | 2.17335 | + | 2.17335i | 0.0794655 | + | 0.0794655i | ||||
\(749\) | 0.571594 | + | 28.2401i | 0.0208856 | + | 1.03187i | ||||
\(750\) | 11.0561 | + | 15.8985i | 0.403711 | + | 0.580532i | ||||
\(751\) | −6.85013 | − | 11.8648i | −0.249965 | − | 0.432952i | 0.713551 | − | 0.700603i | \(-0.247086\pi\) |
−0.963516 | + | 0.267652i | \(0.913752\pi\) | |||||||
\(752\) | −10.7419 | + | 2.87830i | −0.391718 | + | 0.104961i | ||||
\(753\) | −28.4169 | − | 12.1336i | −1.03557 | − | 0.442174i | ||||
\(754\) | 28.9629 | − | 16.7217i | 1.05476 | − | 0.608969i | ||||
\(755\) | −7.97904 | − | 17.6614i | −0.290387 | − | 0.642765i | ||||
\(756\) | −13.6512 | + | 1.62635i | −0.496489 | + | 0.0591499i | ||||
\(757\) | 28.3749 | − | 28.3749i | 1.03130 | − | 1.03130i | 0.0318111 | − | 0.999494i | \(-0.489873\pi\) |
0.999494 | − | 0.0318111i | \(-0.0101275\pi\) | |||||||
\(758\) | −16.6244 | − | 4.45450i | −0.603826 | − | 0.161795i | ||||
\(759\) | −19.4015 | + | 7.79077i | −0.704231 | + | 0.282787i | ||||
\(760\) | 7.73002 | + | 9.44008i | 0.280397 | + | 0.342428i | ||||
\(761\) | 4.58035 | − | 2.64447i | 0.166038 | − | 0.0958618i | −0.414679 | − | 0.909968i | \(-0.636106\pi\) |
0.580716 | + | 0.814106i | \(0.302773\pi\) | |||||||
\(762\) | 27.4483 | − | 3.31099i | 0.994347 | − | 0.119945i | ||||
\(763\) | 22.0139 | + | 5.42361i | 0.796956 | + | 0.196348i | ||||
\(764\) | 0.747866 | 0.0270569 | ||||||||
\(765\) | 8.94839 | − | 3.81103i | 0.323530 | − | 0.137788i | ||||
\(766\) | 9.51372 | − | 16.4782i | 0.343745 | − | 0.595383i | ||||
\(767\) | −23.6417 | + | 6.33477i | −0.853652 | + | 0.228735i | ||||
\(768\) | 1.03943 | + | 1.38549i | 0.0375072 | + | 0.0499946i | ||||
\(769\) | − | 0.931143i | − | 0.0335779i | −0.999859 | − | 0.0167889i | \(-0.994656\pi\) | ||
0.999859 | − | 0.0167889i | \(-0.00534434\pi\) | |||||||
\(770\) | 5.39365 | + | 11.3223i | 0.194374 | + | 0.408027i | ||||
\(771\) | −1.35903 | − | 1.06645i | −0.0489442 | − | 0.0384073i | ||||
\(772\) | 8.94254 | + | 2.39615i | 0.321849 | + | 0.0862392i | ||||
\(773\) | 2.98432 | + | 11.1376i | 0.107339 | + | 0.400593i | 0.998600 | − | 0.0528969i | \(-0.0168455\pi\) |
−0.891261 | + | 0.453490i | \(0.850179\pi\) | |||||||
\(774\) | −7.30311 | − | 2.12779i | −0.262505 | − | 0.0764819i | ||||
\(775\) | 5.17690 | + | 1.04152i | 0.185960 | + | 0.0374124i | ||||
\(776\) | − | 12.2102i | − | 0.438320i | ||||||
\(777\) | −11.0461 | + | 27.3919i | −0.396276 | + | 0.982678i | ||||
\(778\) | 26.0463 | + | 26.0463i | 0.933804 | + | 0.933804i | ||||
\(779\) | 5.09524 | + | 8.82522i | 0.182556 | + | 0.316196i | ||||
\(780\) | −12.4445 | + | 12.9727i | −0.445585 | + | 0.464499i | ||||
\(781\) | −1.86483 | + | 3.22999i | −0.0667290 | + | 0.115578i | ||||
\(782\) | 2.13677 | − | 7.97452i | 0.0764106 | − | 0.285168i | ||||
\(783\) | −35.0377 | + | 13.1939i | −1.25215 | + | 0.471510i | ||||
\(784\) | 6.19884 | + | 3.25183i | 0.221387 | + | 0.116137i | ||||
\(785\) | 36.5187 | + | 13.7902i | 1.30341 | + | 0.492195i | ||||
\(786\) | 9.92809 | + | 1.41684i | 0.354123 | + | 0.0505370i | ||||
\(787\) | 5.10495 | + | 19.0519i | 0.181972 | + | 0.679129i | 0.995258 | + | 0.0972652i | \(0.0310095\pi\) |
−0.813287 | + | 0.581863i | \(0.802324\pi\) | |||||||
\(788\) | 0.993307 | + | 3.70707i | 0.0353851 | + | 0.132059i | ||||
\(789\) | 29.5959 | + | 4.22363i | 1.05364 | + | 0.150365i | ||||
\(790\) | 33.4341 | + | 12.6254i | 1.18953 | + | 0.449192i | ||||
\(791\) | −12.8594 | + | 23.3521i | −0.457229 | + | 0.830307i | ||||
\(792\) | 5.43729 | + | 3.29861i | 0.193206 | + | 0.117211i | ||||
\(793\) | −9.89542 | + | 36.9302i | −0.351397 | + | 1.31143i | ||||
\(794\) | 10.0114 | − | 17.3402i | 0.355291 | − | 0.615382i | ||||
\(795\) | −17.9793 | + | 18.7425i | −0.637662 | + | 0.664728i | ||||
\(796\) | −2.80297 | − | 4.85488i | −0.0993485 | − | 0.172077i | ||||
\(797\) | −13.9935 | − | 13.9935i | −0.495674 | − | 0.495674i | 0.414414 | − | 0.910088i | \(-0.363986\pi\) |
−0.910088 | + | 0.414414i | \(0.863986\pi\) | |||||||
\(798\) | 24.7593 | − | 3.49630i | 0.876470 | − | 0.123768i | ||||
\(799\) | − | 16.1240i | − | 0.570426i | ||||||
\(800\) | −2.76876 | − | 4.16341i | −0.0978904 | − | 0.147199i | ||||
\(801\) | 0.335560 | − | 1.15173i | 0.0118564 | − | 0.0406943i | ||||
\(802\) | 2.69219 | + | 10.0474i | 0.0950645 | + | 0.354786i | ||||
\(803\) | −2.55867 | − | 0.685594i | −0.0902936 | − | 0.0241941i | ||||
\(804\) | 12.8429 | + | 10.0780i | 0.452935 | + | 0.355425i | ||||
\(805\) | 19.0941 | − | 27.7529i | 0.672977 | − | 0.978161i | ||||
\(806\) | 4.90205i | 0.172667i | ||||||||
\(807\) | 28.7310 | + | 38.2965i | 1.01138 | + | 1.34810i | ||||
\(808\) | −4.27164 | + | 1.14458i | −0.150276 | + | 0.0402662i | ||||
\(809\) | −12.8197 | + | 22.2044i | −0.450717 | + | 0.780666i | −0.998431 | − | 0.0560005i | \(-0.982165\pi\) |
0.547713 | + | 0.836666i | \(0.315498\pi\) | |||||||
\(810\) | 16.1091 | − | 12.0621i | 0.566018 | − | 0.423821i | ||||
\(811\) | −11.0170 | −0.386858 | −0.193429 | − | 0.981114i | \(-0.561961\pi\) | ||||
−0.193429 | + | 0.981114i | \(0.561961\pi\) | |||||||
\(812\) | 18.5098 | + | 4.56031i | 0.649567 | + | 0.160035i | ||||
\(813\) | −8.82215 | + | 1.06418i | −0.309406 | + | 0.0373226i | ||||
\(814\) | 11.8324 | − | 6.83143i | 0.414725 | − | 0.239441i | ||||
\(815\) | −7.38625 | − | 9.02026i | −0.258729 | − | 0.315966i | ||||
\(816\) | −2.33041 | + | 0.935787i | −0.0815806 | + | 0.0327591i | ||||
\(817\) | 13.3641 | + | 3.58089i | 0.467550 | + | 0.125280i | ||||
\(818\) | −10.9439 | + | 10.9439i | −0.382644 | + | 0.382644i | ||||
\(819\) | 9.48289 | + | 35.5997i | 0.331359 | + | 1.24395i | ||||
\(820\) | −1.71932 | − | 3.80568i | −0.0600413 | − | 0.132900i | ||||
\(821\) | −13.0985 | + | 7.56242i | −0.457141 | + | 0.263930i | −0.710841 | − | 0.703352i | \(-0.751686\pi\) |
0.253700 | + | 0.967283i | \(0.418352\pi\) | |||||||
\(822\) | 17.8520 | + | 7.62258i | 0.622661 | + | 0.265868i | ||||
\(823\) | −39.6086 | + | 10.6131i | −1.38067 | + | 0.369949i | −0.871364 | − | 0.490637i | \(-0.836764\pi\) |
−0.509305 | + | 0.860586i | \(0.670097\pi\) | |||||||
\(824\) | 5.35360 | + | 9.27271i | 0.186502 | + | 0.323030i | ||||
\(825\) | −15.1304 | − | 10.3977i | −0.526773 | − | 0.362001i | ||||
\(826\) | −12.2211 | − | 6.72983i | −0.425225 | − | 0.234161i | ||||
\(827\) | 25.1800 | + | 25.1800i | 0.875596 | + | 0.875596i | 0.993075 | − | 0.117480i | \(-0.0374815\pi\) |
−0.117480 | + | 0.993075i | \(0.537482\pi\) | |||||||
\(828\) | 0.370770 | − | 17.0783i | 0.0128852 | − | 0.593514i | ||||
\(829\) | −25.3933 | − | 14.6608i | −0.881944 | − | 0.509191i | −0.0106454 | − | 0.999943i | \(-0.503389\pi\) |
−0.871299 | + | 0.490752i | \(0.836722\pi\) | |||||||
\(830\) | 29.8216 | + | 2.97008i | 1.03512 | + | 0.103093i | ||||
\(831\) | −47.2340 | − | 6.74076i | −1.63853 | − | 0.233835i | ||||
\(832\) | 3.28206 | − | 3.28206i | 0.113785 | − | 0.113785i | ||||
\(833\) | −6.88029 | + | 7.46108i | −0.238388 | + | 0.258511i | ||||
\(834\) | −21.5276 | + | 27.4337i | −0.745441 | + | 0.949950i | ||||
\(835\) | 18.7067 | − | 3.06749i | 0.647371 | − | 0.106155i | ||||
\(836\) | −10.0175 | − | 5.78358i | −0.346461 | − | 0.200029i | ||||
\(837\) | 0.893043 | − | 5.41464i | 0.0308681 | − | 0.187157i | ||||
\(838\) | −3.85925 | + | 14.4029i | −0.133316 | + | 0.497541i | ||||
\(839\) | −20.2876 | −0.700407 | −0.350203 | − | 0.936674i | \(-0.613888\pi\) | ||||
−0.350203 | + | 0.936674i | \(0.613888\pi\) | |||||||
\(840\) | −10.2383 | + | 0.420177i | −0.353256 | + | 0.0144975i | ||||
\(841\) | 22.9156 | 0.790192 | ||||||||
\(842\) | −4.27808 | + | 15.9660i | −0.147432 | + | 0.550225i | ||||
\(843\) | −31.6721 | − | 13.5236i | −1.09084 | − | 0.465776i | ||||
\(844\) | −12.8559 | − | 7.42239i | −0.442520 | − | 0.255489i | ||||
\(845\) | 15.5170 | + | 11.1450i | 0.533801 | + | 0.383400i | ||||
\(846\) | −7.93340 | − | 32.4057i | −0.272756 | − | 1.11413i | ||||
\(847\) | 12.4157 | + | 11.9230i | 0.426607 | + | 0.409680i | ||||
\(848\) | 4.74179 | − | 4.74179i | 0.162834 | − | 0.162834i | ||||
\(849\) | −1.29475 | + | 9.07256i | −0.0444356 | + | 0.311369i | ||||
\(850\) | 6.86978 | − | 2.31524i | 0.235631 | − | 0.0794122i | ||||
\(851\) | −31.7825 | − | 18.3496i | −1.08949 | − | 0.629018i | ||||
\(852\) | −1.82875 | − | 2.43761i | −0.0626520 | − | 0.0835110i | ||||
\(853\) | −7.01032 | − | 7.01032i | −0.240029 | − | 0.240029i | 0.576833 | − | 0.816862i | \(-0.304288\pi\) |
−0.816862 | + | 0.576833i | \(0.804288\pi\) | |||||||
\(854\) | −18.6493 | + | 11.2764i | −0.638165 | + | 0.385871i | ||||
\(855\) | −28.8169 | + | 22.5699i | −0.985517 | + | 0.771875i | ||||
\(856\) | 5.33798 | + | 9.24565i | 0.182448 | + | 0.316010i | ||||
\(857\) | −20.2170 | + | 5.41712i | −0.690599 | + | 0.185045i | −0.587016 | − | 0.809575i | \(-0.699697\pi\) |
−0.103583 | + | 0.994621i | \(0.533031\pi\) | |||||||
\(858\) | 6.69238 | − | 15.6735i | 0.228474 | − | 0.535084i | ||||
\(859\) | −11.7809 | + | 6.80172i | −0.401960 | + | 0.232072i | −0.687329 | − | 0.726346i | \(-0.741217\pi\) |
0.285369 | + | 0.958418i | \(0.407884\pi\) | |||||||
\(860\) | −5.30417 | − | 2.00297i | −0.180871 | − | 0.0683006i | ||||
\(861\) | −8.49521 | − | 1.03741i | −0.289516 | − | 0.0353548i | ||||
\(862\) | 5.38941 | − | 5.38941i | 0.183564 | − | 0.183564i | ||||
\(863\) | 45.3947 | + | 12.1635i | 1.54525 | + | 0.414050i | 0.927959 | − | 0.372681i | \(-0.121562\pi\) |
0.617296 | + | 0.786731i | \(0.288228\pi\) | |||||||
\(864\) | −4.22318 | + | 3.02734i | −0.143675 | + | 0.102992i | ||||
\(865\) | −8.67305 | + | 7.10194i | −0.294892 | + | 0.241473i | ||||
\(866\) | −9.72591 | + | 5.61526i | −0.330500 | + | 0.190814i | ||||
\(867\) | 3.09022 | + | 25.6181i | 0.104949 | + | 0.870036i | ||||
\(868\) | −1.93544 | + | 2.01541i | −0.0656932 | + | 0.0684075i | ||||
\(869\) | −33.8814 | −1.14935 | ||||||||
\(870\) | −26.7990 | + | 7.78105i | −0.908573 | + | 0.263802i | ||||
\(871\) | 21.8739 | − | 37.8867i | 0.741169 | − | 1.28374i | ||||
\(872\) | 8.27727 | − | 2.21789i | 0.280304 | − | 0.0751072i | ||||
\(873\) | 36.6219 | + | 0.795060i | 1.23946 | + | 0.0269087i | ||||
\(874\) | 31.0701i | 1.05096i | ||||||||
\(875\) | 29.5767 | + | 0.466331i | 0.999876 | + | 0.0157649i | ||||
\(876\) | 1.33611 | − | 1.70267i | 0.0451430 | − | 0.0575278i | ||||
\(877\) | −21.4208 | − | 5.73970i | −0.723330 | − | 0.193816i | −0.121673 | − | 0.992570i | \(-0.538826\pi\) |
−0.601657 | + | 0.798754i | \(0.705493\pi\) | |||||||
\(878\) | 3.43925 | + | 12.8355i | 0.116069 | + | 0.433176i | ||||
\(879\) | −19.4776 | − | 48.5055i | −0.656963 | − | 1.63605i | ||||
\(880\) | 3.85003 | + | 2.76526i | 0.129784 | + | 0.0932170i | ||||
\(881\) | 44.7263i | 1.50687i | 0.657525 | + | 0.753433i | \(0.271604\pi\) | ||||
−0.657525 | + | 0.753433i | \(0.728396\pi\) | |||||||
\(882\) | −10.1568 | + | 18.3804i | −0.341998 | + | 0.618900i | ||||
\(883\) | −3.98957 | − | 3.98957i | −0.134260 | − | 0.134260i | 0.636783 | − | 0.771043i | \(-0.280265\pi\) |
−0.771043 | + | 0.636783i | \(0.780265\pi\) | |||||||
\(884\) | 3.36485 | + | 5.82809i | 0.113172 | + | 0.196020i | ||||
\(885\) | 20.4185 | − | 0.424335i | 0.686362 | − | 0.0142639i | ||||
\(886\) | 12.2753 | − | 21.2615i | 0.412398 | − | 0.714295i | ||||
\(887\) | −7.97169 | + | 29.7508i | −0.267663 | + | 0.998933i | 0.692937 | + | 0.720998i | \(0.256317\pi\) |
−0.960600 | + | 0.277935i | \(0.910350\pi\) | |||||||
\(888\) | 1.33689 | + | 11.0829i | 0.0448632 | + | 0.371919i | ||||
\(889\) | 20.3715 | − | 36.9937i | 0.683239 | − | 1.24073i | ||||
\(890\) | 0.315875 | − | 0.836486i | 0.0105882 | − | 0.0280391i | ||||
\(891\) | −10.2475 | + | 16.0932i | −0.343305 | + | 0.539143i | ||||
\(892\) | −1.84042 | − | 6.86854i | −0.0616218 | − | 0.229976i | ||||
\(893\) | 15.7055 | + | 58.6137i | 0.525564 | + | 1.96143i | ||||
\(894\) | 2.88998 | − | 20.2507i | 0.0966554 | − | 0.677285i | ||||
\(895\) | 7.44939 | + | 16.4891i | 0.249006 | + | 0.551169i | ||||
\(896\) | 2.64521 | − | 0.0535403i | 0.0883702 | − | 0.00178865i | ||||
\(897\) | −45.4478 | + | 5.48220i | −1.51746 | + | 0.183045i | ||||
\(898\) | 1.53622 | − | 5.73324i | 0.0512642 | − | 0.191321i | ||||
\(899\) | −3.80482 | + | 6.59015i | −0.126898 | + | 0.219794i | ||||
\(900\) | 12.6676 | − | 8.03322i | 0.422252 | − | 0.267774i | ||||
\(901\) | 4.86140 | + | 8.42019i | 0.161957 | + | 0.280517i | ||||
\(902\) | 2.79946 | + | 2.79946i | 0.0932119 | + | 0.0932119i | ||||
\(903\) | −9.15161 | + | 7.15972i | −0.304546 | + | 0.238261i | ||||
\(904\) | 10.0761i | 0.335124i | ||||||||
\(905\) | 13.9505 | − | 19.4231i | 0.463731 | − | 0.645645i | ||||
\(906\) | −13.9306 | + | 5.59391i | −0.462815 | + | 0.185845i | ||||
\(907\) | 6.18534 | + | 23.0840i | 0.205381 | + | 0.766491i | 0.989333 | + | 0.145670i | \(0.0465339\pi\) |
−0.783952 | + | 0.620821i | \(0.786799\pi\) | |||||||
\(908\) | −11.2410 | − | 3.01201i | −0.373045 | − | 0.0999570i | ||||
\(909\) | −3.15479 | − | 12.8864i | −0.104638 | − | 0.427415i | ||||
\(910\) | 4.99090 | + | 27.0023i | 0.165447 | + | 0.895119i | ||||
\(911\) | − | 27.2518i | − | 0.902892i | −0.892298 | − | 0.451446i | \(-0.850908\pi\) | ||
0.892298 | − | 0.451446i | \(-0.149092\pi\) | |||||||
\(912\) | 7.55997 | − | 5.67168i | 0.250335 | − | 0.187808i | ||||
\(913\) | −27.4438 | + | 7.35353i | −0.908256 | + | 0.243366i | ||||
\(914\) | 5.20657 | − | 9.01804i | 0.172218 | − | 0.298290i | ||||
\(915\) | 15.3737 | − | 27.9536i | 0.508237 | − | 0.924119i | ||||
\(916\) | −4.13598 | −0.136657 | ||||||||
\(917\) | 10.6108 | − | 11.0492i | 0.350399 | − | 0.364876i | ||||
\(918\) | −2.65495 | − | 7.05051i | −0.0876266 | − | 0.232702i | ||||
\(919\) | 8.37600 | − | 4.83589i | 0.276299 | − | 0.159521i | −0.355448 | − | 0.934696i | \(-0.615672\pi\) |
0.631747 | + | 0.775175i | \(0.282338\pi\) | |||||||
\(920\) | 1.26184 | − | 12.6698i | 0.0416018 | − | 0.417710i | ||||
\(921\) | −16.3015 | − | 40.5959i | −0.537151 | − | 1.33768i | ||||
\(922\) | 31.6082 | + | 8.46938i | 1.04096 | + | 0.278924i | ||||
\(923\) | −5.77440 | + | 5.77440i | −0.190067 | + | 0.190067i | ||||
\(924\) | 8.93974 | − | 3.80164i | 0.294096 | − | 0.125065i | ||||
\(925\) | −2.03737 | − | 32.1611i | −0.0669883 | − | 1.05745i | ||||
\(926\) | 8.08325 | − | 4.66687i | 0.265632 | − | 0.153363i | ||||
\(927\) | −28.1602 | + | 15.4532i | −0.924902 | + | 0.507551i | ||||
\(928\) | 6.95973 | − | 1.86485i | 0.228464 | − | 0.0612169i | ||||
\(929\) | −15.3159 | − | 26.5279i | −0.502499 | − | 0.870353i | −0.999996 | − | 0.00288755i | \(-0.999081\pi\) |
0.497497 | − | 0.867466i | \(-0.334252\pi\) | |||||||
\(930\) | 0.976343 | − | 3.97213i | 0.0320155 | − | 0.130251i | ||||
\(931\) | 17.7437 | − | 33.8241i | 0.581526 | − | 1.10854i | ||||
\(932\) | 16.0542 | + | 16.0542i | 0.525874 | + | 0.525874i | ||||
\(933\) | −21.1054 | + | 15.8338i | −0.690961 | + | 0.518376i | ||||
\(934\) | −0.696241 | − | 0.401975i | −0.0227817 | − | 0.0131530i | ||||
\(935\) | −5.31745 | + | 4.35421i | −0.173899 | + | 0.142398i | ||||
\(936\) | 9.63016 | + | 10.0576i | 0.314772 | + | 0.328742i | ||||
\(937\) | −0.818219 | + | 0.818219i | −0.0267300 | + | 0.0267300i | −0.720345 | − | 0.693615i | \(-0.756017\pi\) |
0.693615 | + | 0.720345i | \(0.256017\pi\) | |||||||
\(938\) | 23.9517 | − | 6.94027i | 0.782051 | − | 0.226608i | ||||
\(939\) | 31.0840 | + | 24.3921i | 1.01439 | + | 0.796007i | ||||
\(940\) | −4.02392 | − | 24.5393i | −0.131246 | − | 0.800384i | ||||
\(941\) | 39.7684 | + | 22.9603i | 1.29641 | + | 0.748484i | 0.979783 | − | 0.200065i | \(-0.0641154\pi\) |
0.316630 | + | 0.948549i | \(0.397449\pi\) | |||||||
\(942\) | 11.8737 | − | 27.8080i | 0.386865 | − | 0.906035i | ||||
\(943\) | 2.75234 | − | 10.2719i | 0.0896285 | − | 0.334498i | ||||
\(944\) | −5.27318 | −0.171627 | ||||||||
\(945\) | −0.593570 | − | 30.7351i | −0.0193088 | − | 0.999814i | ||||
\(946\) | 5.37514 | 0.174761 | ||||||||
\(947\) | 8.20271 | − | 30.6129i | 0.266552 | − | 0.994787i | −0.694741 | − | 0.719260i | \(-0.744481\pi\) |
0.961293 | − | 0.275527i | \(-0.0888524\pi\) | |||||||
\(948\) | 10.8707 | − | 25.4592i | 0.353065 | − | 0.826876i | ||||
\(949\) | −5.02288 | − | 2.89996i | −0.163050 | − | 0.0941367i | ||||
\(950\) | −22.7177 | + | 15.1078i | −0.737061 | + | 0.490162i | ||||
\(951\) | −6.73797 | − | 5.28739i | −0.218494 | − | 0.171456i | ||||
\(952\) | −0.917654 | + | 3.72466i | −0.0297413 | + | 0.120717i | ||||
\(953\) | −12.7159 | + | 12.7159i | −0.411908 | + | 0.411908i | −0.882403 | − | 0.470495i | \(-0.844076\pi\) |
0.470495 | + | 0.882403i | \(0.344076\pi\) | |||||||
\(954\) | 13.9133 | + | 14.5308i | 0.450459 | + | 0.470452i | ||||
\(955\) | −0.165731 | + | 1.66405i | −0.00536292 | + | 0.0538473i | ||||
\(956\) | −9.19360 | − | 5.30793i | −0.297342 | − | 0.171671i | ||||
\(957\) | 21.1623 | − | 15.8765i | 0.684080 | − | 0.513214i | ||||
\(958\) | −12.0027 | − | 12.0027i | −0.387789 | − | 0.387789i | ||||
\(959\) | 25.3735 | − | 15.3422i | 0.819352 | − | 0.495427i | ||||
\(960\) | −3.31314 | + | 2.00576i | −0.106931 | + | 0.0647357i | ||||
\(961\) | 14.9423 | + | 25.8808i | 0.482010 | + | 0.834865i | ||||
\(962\) | 28.8959 | − | 7.74264i | 0.931642 | − | 0.249633i | ||||
\(963\) | −28.0780 | + | 15.4081i | −0.904801 | + | 0.496520i | ||||
\(964\) | −17.4304 | + | 10.0635i | −0.561396 | + | 0.324122i | ||||
\(965\) | −7.31327 | + | 19.3667i | −0.235423 | + | 0.623436i | ||||
\(966\) | −20.8497 | − | 15.6899i | −0.670829 | − | 0.504814i | ||||
\(967\) | −3.87679 | + | 3.87679i | −0.124669 | + | 0.124669i | −0.766688 | − | 0.642019i | \(-0.778097\pi\) |
0.642019 | + | 0.766688i | \(0.278097\pi\) | |||||||
\(968\) | 6.28443 | + | 1.68391i | 0.201989 | + | 0.0541229i | ||||
\(969\) | 5.10614 | + | 12.7159i | 0.164033 | + | 0.408495i | ||||
\(970\) | 27.1684 | + | 2.70583i | 0.872324 | + | 0.0868790i | ||||
\(971\) | 9.52298 | − | 5.49809i | 0.305607 | − | 0.176442i | −0.339352 | − | 0.940659i | \(-0.610208\pi\) |
0.644959 | + | 0.764217i | \(0.276874\pi\) | |||||||
\(972\) | −8.80489 | − | 12.8637i | −0.282417 | − | 0.412602i | ||||
\(973\) | 14.8251 | + | 51.1630i | 0.475270 | + | 1.64021i | ||||
\(974\) | −15.9920 | −0.512416 | ||||||||
\(975\) | −26.1074 | − | 30.5646i | −0.836105 | − | 0.978851i | ||||
\(976\) | −4.11857 | + | 7.13357i | −0.131832 | + | 0.228340i | ||||
\(977\) | 45.8432 | − | 12.2836i | 1.46665 | − | 0.392988i | 0.564870 | − | 0.825180i | \(-0.308926\pi\) |
0.901782 | + | 0.432191i | \(0.142259\pi\) | |||||||
\(978\) | −7.22376 | + | 5.41945i | −0.230990 | + | 0.173295i | ||||
\(979\) | 0.847678i | 0.0270919i | ||||||||
\(980\) | −8.60921 | + | 13.0722i | −0.275011 | + | 0.417575i | ||||
\(981\) | 6.11313 | + | 24.9704i | 0.195177 | + | 0.797243i | ||||
\(982\) | 6.64162 | + | 1.77962i | 0.211942 | + | 0.0567898i | ||||
\(983\) | 7.87919 | + | 29.4055i | 0.251307 | + | 0.937891i | 0.970108 | + | 0.242675i | \(0.0780247\pi\) |
−0.718801 | + | 0.695216i | \(0.755309\pi\) | |||||||
\(984\) | −3.00177 | + | 1.20537i | −0.0956929 | + | 0.0384259i | ||||
\(985\) | −8.46858 | + | 1.38866i | −0.269831 | + | 0.0442465i | ||||
\(986\) | 10.4468i | 0.332693i | ||||||||
\(987\) | −47.2639 | − | 19.0597i | −1.50443 | − | 0.606678i | ||||
\(988\) | −17.9087 | − | 17.9087i | −0.569750 | − | 0.569750i | ||||
\(989\) | −7.21898 | − | 12.5036i | −0.229550 | − | 0.397593i | ||||
\(990\) | −8.54453 | + | 11.3673i | −0.271563 | + | 0.361277i | ||||
\(991\) | 7.93677 | − | 13.7469i | 0.252120 | − | 0.436684i | −0.711989 | − | 0.702190i | \(-0.752206\pi\) |
0.964109 | + | 0.265506i | \(0.0855389\pi\) | |||||||
\(992\) | −0.273346 | + | 1.02014i | −0.00867873 | + | 0.0323895i | ||||
\(993\) | 0.406360 | − | 0.0490178i | 0.0128954 | − | 0.00155553i | ||||
\(994\) | −4.65393 | + | 0.0941977i | −0.147614 | + | 0.00298777i | ||||
\(995\) | 11.4236 | − | 5.16090i | 0.362151 | − | 0.163612i | ||||
\(996\) | 3.27964 | − | 22.9811i | 0.103919 | − | 0.728186i | ||||
\(997\) | −7.23598 | − | 27.0051i | −0.229166 | − | 0.855259i | −0.980693 | − | 0.195556i | \(-0.937349\pi\) |
0.751527 | − | 0.659703i | \(-0.229318\pi\) | |||||||
\(998\) | −8.02080 | − | 29.9340i | −0.253894 | − | 0.947545i | ||||
\(999\) | −33.3280 | + | 3.28808i | −1.05445 | + | 0.104030i |
(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 | 210.2.x.a.53.14 | yes | 64 | |
3.2 | odd | 2 | inner | 210.2.x.a.53.7 | yes | 64 | |
5.2 | odd | 4 | inner | 210.2.x.a.137.10 | yes | 64 | |
7.2 | even | 3 | inner | 210.2.x.a.23.7 | ✓ | 64 | |
15.2 | even | 4 | inner | 210.2.x.a.137.7 | yes | 64 | |
21.2 | odd | 6 | inner | 210.2.x.a.23.10 | yes | 64 | |
35.2 | odd | 12 | inner | 210.2.x.a.107.7 | yes | 64 | |
105.2 | even | 12 | inner | 210.2.x.a.107.14 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.2.x.a.23.7 | ✓ | 64 | 7.2 | even | 3 | inner | |
210.2.x.a.23.10 | yes | 64 | 21.2 | odd | 6 | inner | |
210.2.x.a.53.7 | yes | 64 | 3.2 | odd | 2 | inner | |
210.2.x.a.53.14 | yes | 64 | 1.1 | even | 1 | trivial | |
210.2.x.a.107.7 | yes | 64 | 35.2 | odd | 12 | inner | |
210.2.x.a.107.14 | yes | 64 | 105.2 | even | 12 | inner | |
210.2.x.a.137.7 | yes | 64 | 15.2 | even | 4 | inner | |
210.2.x.a.137.10 | yes | 64 | 5.2 | odd | 4 | inner |