Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [192,3,Mod(19,192)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(192, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([8, 7, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("192.19");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 192 = 2^{6} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 192.t (of order \(16\), degree \(8\), 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: | \(5.23162107572\) |
Analytic rank: | \(0\) |
Dimension: | \(256\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 19.2 | ||
Character | \(\chi\) | \(=\) | 192.19 |
Dual form | 192.3.t.a.91.2 |
$q$-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 \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(133\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{7}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.97540 | − | 0.312752i | −0.987698 | − | 0.156376i | ||||
\(3\) | −1.44015 | + | 0.962276i | −0.480049 | + | 0.320759i | ||||
\(4\) | 3.80437 | + | 1.23562i | 0.951093 | + | 0.308905i | ||||
\(5\) | −0.279220 | − | 1.40373i | −0.0558440 | − | 0.280747i | 0.942766 | − | 0.333455i | \(-0.108215\pi\) |
−0.998610 | + | 0.0527084i | \(0.983215\pi\) | |||||||
\(6\) | 3.14581 | − | 1.45047i | 0.524302 | − | 0.241744i | ||||
\(7\) | −3.62990 | + | 1.50355i | −0.518558 | + | 0.214794i | −0.626583 | − | 0.779355i | \(-0.715547\pi\) |
0.108026 | + | 0.994148i | \(0.465547\pi\) | |||||||
\(8\) | −7.12870 | − | 3.63066i | −0.891087 | − | 0.453833i | ||||
\(9\) | 1.14805 | − | 2.77164i | 0.127561 | − | 0.307960i | ||||
\(10\) | 0.112549 | + | 2.86026i | 0.0112549 | + | 0.286026i | ||||
\(11\) | 8.51083 | − | 12.7374i | 0.773711 | − | 1.15794i | −0.209915 | − | 0.977720i | \(-0.567319\pi\) |
0.983626 | − | 0.180221i | \(-0.0576814\pi\) | |||||||
\(12\) | −6.66786 | + | 1.88138i | −0.555655 | + | 0.156782i | ||||
\(13\) | −3.60171 | + | 18.1070i | −0.277055 | + | 1.39285i | 0.552077 | + | 0.833793i | \(0.313836\pi\) |
−0.829131 | + | 0.559054i | \(0.811164\pi\) | |||||||
\(14\) | 7.64073 | − | 1.83486i | 0.545767 | − | 0.131061i | ||||
\(15\) | 1.75290 | + | 1.75290i | 0.116860 | + | 0.116860i | ||||
\(16\) | 12.9465 | + | 9.40150i | 0.809156 | + | 0.587594i | ||||
\(17\) | 1.82043 | + | 1.82043i | 0.107084 | + | 0.107084i | 0.758619 | − | 0.651535i | \(-0.225875\pi\) |
−0.651535 | + | 0.758619i | \(0.725875\pi\) | |||||||
\(18\) | −3.13469 | + | 5.11603i | −0.174149 | + | 0.284224i | ||||
\(19\) | 5.22193 | − | 26.2524i | 0.274838 | − | 1.38171i | −0.558758 | − | 0.829331i | \(-0.688722\pi\) |
0.833596 | − | 0.552375i | \(-0.186278\pi\) | |||||||
\(20\) | 0.672223 | − | 5.68534i | 0.0336111 | − | 0.284267i | ||||
\(21\) | 3.78076 | − | 5.65831i | 0.180036 | − | 0.269443i | ||||
\(22\) | −20.7959 | + | 22.4995i | −0.945267 | + | 1.02271i | ||||
\(23\) | 13.8451 | − | 33.4250i | 0.601961 | − | 1.45326i | −0.269599 | − | 0.962973i | \(-0.586891\pi\) |
0.871560 | − | 0.490289i | \(-0.163109\pi\) | |||||||
\(24\) | 13.7601 | − | 1.63109i | 0.573336 | − | 0.0679619i | ||||
\(25\) | 21.2045 | − | 8.78318i | 0.848179 | − | 0.351327i | ||||
\(26\) | 12.7778 | − | 34.6421i | 0.491454 | − | 1.33239i | ||||
\(27\) | 1.01372 | + | 5.09631i | 0.0375451 | + | 0.188752i | ||||
\(28\) | −15.6673 | + | 1.23491i | −0.559547 | + | 0.0441039i | ||||
\(29\) | 27.9872 | − | 18.7004i | 0.965074 | − | 0.644842i | 0.0300959 | − | 0.999547i | \(-0.490419\pi\) |
0.934978 | + | 0.354705i | \(0.115419\pi\) | |||||||
\(30\) | −2.91444 | − | 4.01089i | −0.0971481 | − | 0.133696i | ||||
\(31\) | 18.2240 | 0.587872 | 0.293936 | − | 0.955825i | \(-0.405035\pi\) | ||||
0.293936 | + | 0.955825i | \(0.405035\pi\) | |||||||
\(32\) | −22.6341 | − | 22.6207i | −0.707316 | − | 0.706898i | ||||
\(33\) | 26.5334i | 0.804043i | ||||||||
\(34\) | −3.02673 | − | 4.16541i | −0.0890213 | − | 0.122512i | ||||
\(35\) | 3.12413 | + | 4.67560i | 0.0892610 | + | 0.133588i | ||||
\(36\) | 7.79230 | − | 9.12579i | 0.216453 | − | 0.253494i | ||||
\(37\) | 63.1584 | − | 12.5630i | 1.70698 | − | 0.339540i | 0.757376 | − | 0.652980i | \(-0.226481\pi\) |
0.949608 | + | 0.313439i | \(0.101481\pi\) | |||||||
\(38\) | −18.5259 | + | 50.2257i | −0.487523 | + | 1.32173i | ||||
\(39\) | −12.2370 | − | 29.5426i | −0.313768 | − | 0.757503i | ||||
\(40\) | −3.10601 | + | 11.0206i | −0.0776502 | + | 0.275514i | ||||
\(41\) | −51.0426 | − | 21.1426i | −1.24494 | − | 0.515672i | −0.339686 | − | 0.940539i | \(-0.610321\pi\) |
−0.905256 | + | 0.424867i | \(0.860321\pi\) | |||||||
\(42\) | −9.23815 | + | 9.99495i | −0.219956 | + | 0.237975i | ||||
\(43\) | −26.6638 | − | 17.8162i | −0.620089 | − | 0.414330i | 0.205456 | − | 0.978666i | \(-0.434132\pi\) |
−0.825545 | + | 0.564336i | \(0.809132\pi\) | |||||||
\(44\) | 48.1169 | − | 37.9415i | 1.09356 | − | 0.862307i | ||||
\(45\) | −4.21120 | − | 0.837661i | −0.0935823 | − | 0.0186147i | ||||
\(46\) | −37.8033 | + | 61.6976i | −0.821811 | + | 1.34125i | ||||
\(47\) | −31.6086 | + | 31.6086i | −0.672524 | + | 0.672524i | −0.958297 | − | 0.285773i | \(-0.907750\pi\) |
0.285773 | + | 0.958297i | \(0.407750\pi\) | |||||||
\(48\) | −27.6917 | − | 1.08145i | −0.576910 | − | 0.0225303i | ||||
\(49\) | −23.7327 | + | 23.7327i | −0.484341 | + | 0.484341i | ||||
\(50\) | −44.6342 | + | 10.7185i | −0.892684 | + | 0.214370i | ||||
\(51\) | −4.37344 | − | 0.869932i | −0.0857538 | − | 0.0170575i | ||||
\(52\) | −36.0756 | + | 64.4355i | −0.693762 | + | 1.23914i | ||||
\(53\) | 43.0419 | + | 28.7597i | 0.812112 | + | 0.542636i | 0.890870 | − | 0.454258i | \(-0.150096\pi\) |
−0.0787583 | + | 0.996894i | \(0.525096\pi\) | |||||||
\(54\) | −0.408614 | − | 10.3843i | −0.00756692 | − | 0.192301i | ||||
\(55\) | −20.2563 | − | 8.39042i | −0.368296 | − | 0.152553i | ||||
\(56\) | 31.3354 | + | 2.46056i | 0.559560 | + | 0.0439385i | ||||
\(57\) | 17.7417 | + | 42.8323i | 0.311258 | + | 0.751443i | ||||
\(58\) | −61.1343 | + | 28.1877i | −1.05404 | + | 0.485994i | ||||
\(59\) | 41.7196 | − | 8.29854i | 0.707112 | − | 0.140653i | 0.171582 | − | 0.985170i | \(-0.445112\pi\) |
0.535529 | + | 0.844517i | \(0.320112\pi\) | |||||||
\(60\) | 4.50276 | + | 8.83459i | 0.0750461 | + | 0.147243i | ||||
\(61\) | −4.13546 | − | 6.18916i | −0.0677945 | − | 0.101462i | 0.796023 | − | 0.605266i | \(-0.206933\pi\) |
−0.863818 | + | 0.503804i | \(0.831933\pi\) | |||||||
\(62\) | −35.9997 | − | 5.69961i | −0.580640 | − | 0.0919292i | ||||
\(63\) | 11.7869i | 0.187094i | ||||||||
\(64\) | 37.6366 | + | 51.7637i | 0.588072 | + | 0.808809i | ||||
\(65\) | 26.4231 | 0.406509 | ||||||||
\(66\) | 8.29839 | − | 52.4140i | 0.125733 | − | 0.794152i | ||||
\(67\) | 13.3431 | − | 8.91559i | 0.199151 | − | 0.133068i | −0.451996 | − | 0.892020i | \(-0.649288\pi\) |
0.651147 | + | 0.758951i | \(0.274288\pi\) | |||||||
\(68\) | 4.67624 | + | 9.17495i | 0.0687682 | + | 0.134926i | ||||
\(69\) | 12.2251 | + | 61.4598i | 0.177176 | + | 0.890721i | ||||
\(70\) | −4.70910 | − | 10.2132i | −0.0672728 | − | 0.145903i | ||||
\(71\) | −34.9351 | + | 14.4706i | −0.492044 | + | 0.203811i | −0.614888 | − | 0.788615i | \(-0.710799\pi\) |
0.122844 | + | 0.992426i | \(0.460799\pi\) | |||||||
\(72\) | −18.2470 | + | 15.5900i | −0.253430 | + | 0.216528i | ||||
\(73\) | −10.4496 | + | 25.2275i | −0.143145 | + | 0.345583i | −0.979150 | − | 0.203139i | \(-0.934886\pi\) |
0.836005 | + | 0.548722i | \(0.184886\pi\) | |||||||
\(74\) | −128.692 | + | 5.06394i | −1.73908 | + | 0.0684316i | ||||
\(75\) | −22.0857 | + | 33.0536i | −0.294476 | + | 0.440715i | ||||
\(76\) | 52.3041 | − | 93.4216i | 0.688212 | − | 1.22923i | ||||
\(77\) | −11.7422 | + | 59.0318i | −0.152496 | + | 0.766647i | ||||
\(78\) | 14.9333 | + | 62.1855i | 0.191453 | + | 0.797250i | ||||
\(79\) | −47.0802 | − | 47.0802i | −0.595952 | − | 0.595952i | 0.343281 | − | 0.939233i | \(-0.388462\pi\) |
−0.939233 | + | 0.343281i | \(0.888462\pi\) | |||||||
\(80\) | 9.58229 | − | 20.7985i | 0.119779 | − | 0.259982i | ||||
\(81\) | −6.36396 | − | 6.36396i | −0.0785674 | − | 0.0785674i | ||||
\(82\) | 94.2170 | + | 57.7286i | 1.14899 | + | 0.704007i | ||||
\(83\) | 16.0060 | − | 80.4676i | 0.192843 | − | 0.969490i | −0.756199 | − | 0.654342i | \(-0.772946\pi\) |
0.949043 | − | 0.315148i | \(-0.102054\pi\) | |||||||
\(84\) | 21.3749 | − | 16.8547i | 0.254463 | − | 0.200652i | ||||
\(85\) | 2.04710 | − | 3.06370i | 0.0240835 | − | 0.0360435i | ||||
\(86\) | 47.0995 | + | 43.5332i | 0.547669 | + | 0.506200i | ||||
\(87\) | −22.3107 | + | 53.8627i | −0.256444 | + | 0.619112i | ||||
\(88\) | −106.916 | + | 59.9008i | −1.21496 | + | 0.680691i | ||||
\(89\) | −115.644 | + | 47.9012i | −1.29937 | + | 0.538216i | −0.921764 | − | 0.387751i | \(-0.873252\pi\) |
−0.377604 | + | 0.925967i | \(0.623252\pi\) | |||||||
\(90\) | 8.05681 | + | 2.97177i | 0.0895201 | + | 0.0330197i | ||||
\(91\) | −14.1510 | − | 71.1421i | −0.155506 | − | 0.781781i | ||||
\(92\) | 93.9725 | − | 110.054i | 1.02144 | − | 1.19624i | ||||
\(93\) | −26.2453 | + | 17.5366i | −0.282208 | + | 0.188565i | ||||
\(94\) | 72.3252 | − | 52.5539i | 0.769417 | − | 0.559084i | ||||
\(95\) | −38.3095 | −0.403258 | ||||||||
\(96\) | 54.3638 | + | 10.7969i | 0.566290 | + | 0.112468i | ||||
\(97\) | − | 112.008i | − | 1.15472i | −0.816489 | − | 0.577361i | \(-0.804083\pi\) | ||
0.816489 | − | 0.577361i | \(-0.195917\pi\) | |||||||
\(98\) | 54.3040 | − | 39.4590i | 0.554122 | − | 0.402643i | ||||
\(99\) | −25.5325 | − | 38.2121i | −0.257904 | − | 0.385980i | ||||
\(100\) | 91.5224 | − | 7.21385i | 0.915224 | − | 0.0721385i | ||||
\(101\) | −55.5752 | + | 11.0546i | −0.550249 | + | 0.109451i | −0.462382 | − | 0.886681i | \(-0.653005\pi\) |
−0.0878673 | + | 0.996132i | \(0.528005\pi\) | |||||||
\(102\) | 8.36721 | + | 3.08626i | 0.0820314 | + | 0.0302575i | ||||
\(103\) | 2.43866 | + | 5.88744i | 0.0236763 | + | 0.0571596i | 0.935276 | − | 0.353920i | \(-0.115152\pi\) |
−0.911599 | + | 0.411080i | \(0.865152\pi\) | |||||||
\(104\) | 91.4159 | − | 116.003i | 0.878999 | − | 1.11541i | ||||
\(105\) | −8.99843 | − | 3.72727i | −0.0856993 | − | 0.0354978i | ||||
\(106\) | −76.0302 | − | 70.2732i | −0.717266 | − | 0.662955i | ||||
\(107\) | 39.2879 | + | 26.2513i | 0.367176 | + | 0.245339i | 0.725447 | − | 0.688279i | \(-0.241633\pi\) |
−0.358270 | + | 0.933618i | \(0.616633\pi\) | |||||||
\(108\) | −2.44053 | + | 20.6408i | −0.0225975 | + | 0.191119i | ||||
\(109\) | 174.887 | + | 34.7872i | 1.60447 | + | 0.319148i | 0.914467 | − | 0.404661i | \(-0.132610\pi\) |
0.690000 | + | 0.723809i | \(0.257610\pi\) | |||||||
\(110\) | 37.3900 | + | 22.9096i | 0.339909 | + | 0.208269i | ||||
\(111\) | −78.8684 | + | 78.8684i | −0.710526 | + | 0.710526i | ||||
\(112\) | −61.1302 | − | 14.6608i | −0.545805 | − | 0.130900i | ||||
\(113\) | 40.4623 | − | 40.4623i | 0.358073 | − | 0.358073i | −0.505029 | − | 0.863102i | \(-0.668518\pi\) |
0.863102 | + | 0.505029i | \(0.168518\pi\) | |||||||
\(114\) | −21.6510 | − | 90.1594i | −0.189921 | − | 0.790872i | ||||
\(115\) | −50.7857 | − | 10.1019i | −0.441615 | − | 0.0878426i | ||||
\(116\) | 129.580 | − | 36.5619i | 1.11707 | − | 0.315189i | ||||
\(117\) | 46.0512 | + | 30.7704i | 0.393600 | + | 0.262995i | ||||
\(118\) | −85.0081 | + | 3.34501i | −0.720407 | + | 0.0283475i | ||||
\(119\) | −9.34510 | − | 3.87087i | −0.0785303 | − | 0.0325283i | ||||
\(120\) | −6.13170 | − | 18.8601i | −0.0510975 | − | 0.157167i | ||||
\(121\) | −43.5013 | − | 105.021i | −0.359515 | − | 0.867945i | ||||
\(122\) | 6.23350 | + | 13.5194i | 0.0510943 | + | 0.110815i | ||||
\(123\) | 93.8539 | − | 18.6687i | 0.763040 | − | 0.151778i | ||||
\(124\) | 69.3310 | + | 22.5180i | 0.559121 | + | 0.181596i | ||||
\(125\) | −38.1288 | − | 57.0637i | −0.305030 | − | 0.456510i | ||||
\(126\) | 3.68639 | − | 23.2839i | 0.0292571 | − | 0.184792i | ||||
\(127\) | 123.475i | 0.972247i | 0.873890 | + | 0.486124i | \(0.161589\pi\) | ||||
−0.873890 | + | 0.486124i | \(0.838411\pi\) | |||||||
\(128\) | −58.1580 | − | 114.025i | −0.454359 | − | 0.890819i | ||||
\(129\) | 55.5439 | 0.430573 | ||||||||
\(130\) | −52.1961 | − | 8.26389i | −0.401508 | − | 0.0635684i | ||||
\(131\) | −115.989 | + | 77.5014i | −0.885413 | + | 0.591614i | −0.912979 | − | 0.408006i | \(-0.866224\pi\) |
0.0275662 | + | 0.999620i | \(0.491224\pi\) | |||||||
\(132\) | −32.7852 | + | 100.943i | −0.248373 | + | 0.764720i | ||||
\(133\) | 20.5168 | + | 103.145i | 0.154262 | + | 0.775527i | ||||
\(134\) | −29.1463 | + | 13.4387i | −0.217510 | + | 0.100289i | ||||
\(135\) | 6.87082 | − | 2.84598i | 0.0508949 | − | 0.0210814i | ||||
\(136\) | −6.36793 | − | 19.5867i | −0.0468230 | − | 0.144020i | ||||
\(137\) | −45.5546 | + | 109.979i | −0.332515 | + | 0.802763i | 0.665876 | + | 0.746063i | \(0.268058\pi\) |
−0.998391 | + | 0.0567006i | \(0.981942\pi\) | |||||||
\(138\) | −4.92774 | − | 125.231i | −0.0357083 | − | 0.907469i | ||||
\(139\) | 71.1702 | − | 106.514i | 0.512016 | − | 0.766286i | −0.481924 | − | 0.876213i | \(-0.660062\pi\) |
0.993940 | + | 0.109927i | \(0.0350618\pi\) | |||||||
\(140\) | 6.10812 | + | 21.6479i | 0.0436294 | + | 0.154628i | ||||
\(141\) | 15.1049 | − | 75.9373i | 0.107127 | − | 0.538562i | ||||
\(142\) | 73.5364 | − | 17.6591i | 0.517862 | − | 0.124360i | ||||
\(143\) | 199.982 | + | 199.982i | 1.39847 | + | 1.39847i | ||||
\(144\) | 40.9208 | − | 25.0896i | 0.284172 | − | 0.174233i | ||||
\(145\) | −34.0650 | − | 34.0650i | −0.234931 | − | 0.234931i | ||||
\(146\) | 28.5320 | − | 46.5662i | 0.195425 | − | 0.318947i | ||||
\(147\) | 11.3412 | − | 57.0160i | 0.0771510 | − | 0.387864i | ||||
\(148\) | 255.801 | + | 30.2454i | 1.72839 | + | 0.204361i | ||||
\(149\) | 9.47483 | − | 14.1801i | 0.0635895 | − | 0.0951684i | −0.798312 | − | 0.602244i | \(-0.794273\pi\) |
0.861902 | + | 0.507076i | \(0.169273\pi\) | |||||||
\(150\) | 53.9657 | − | 58.3866i | 0.359771 | − | 0.389244i | ||||
\(151\) | 77.5843 | − | 187.305i | 0.513803 | − | 1.24043i | −0.427851 | − | 0.903849i | \(-0.640729\pi\) |
0.941654 | − | 0.336582i | \(-0.109271\pi\) | |||||||
\(152\) | −132.539 | + | 168.186i | −0.871968 | + | 1.10649i | ||||
\(153\) | 7.13552 | − | 2.95563i | 0.0466374 | − | 0.0193178i | ||||
\(154\) | 41.6577 | − | 112.939i | 0.270505 | − | 0.733369i | ||||
\(155\) | −5.08852 | − | 25.5817i | −0.0328292 | − | 0.165043i | ||||
\(156\) | −10.0505 | − | 127.511i | −0.0644264 | − | 0.817380i | ||||
\(157\) | −103.073 | + | 68.8714i | −0.656518 | + | 0.438671i | −0.838700 | − | 0.544594i | \(-0.816684\pi\) |
0.182182 | + | 0.983265i | \(0.441684\pi\) | |||||||
\(158\) | 78.2775 | + | 107.726i | 0.495427 | + | 0.681812i | ||||
\(159\) | −89.6615 | −0.563909 | ||||||||
\(160\) | −25.4336 | + | 38.0884i | −0.158960 | + | 0.238053i | ||||
\(161\) | 142.146i | 0.882897i | ||||||||
\(162\) | 10.5810 | + | 14.5617i | 0.0653148 | + | 0.0898869i | ||||
\(163\) | −160.833 | − | 240.704i | −0.986707 | − | 1.47671i | −0.875679 | − | 0.482894i | \(-0.839586\pi\) |
−0.111028 | − | 0.993817i | \(-0.535414\pi\) | |||||||
\(164\) | −168.061 | − | 143.503i | −1.02476 | − | 0.875020i | ||||
\(165\) | 37.2459 | − | 7.40867i | 0.225733 | − | 0.0449010i | ||||
\(166\) | −56.7846 | + | 153.949i | −0.342076 | + | 0.927406i | ||||
\(167\) | 3.33573 | + | 8.05316i | 0.0199744 | + | 0.0482225i | 0.933552 | − | 0.358442i | \(-0.116692\pi\) |
−0.913578 | + | 0.406664i | \(0.866692\pi\) | |||||||
\(168\) | −47.4953 | + | 26.6097i | −0.282710 | + | 0.158391i | ||||
\(169\) | −158.756 | − | 65.7589i | −0.939385 | − | 0.389106i | ||||
\(170\) | −5.00201 | + | 5.41179i | −0.0294236 | + | 0.0318340i | ||||
\(171\) | −66.7672 | − | 44.6124i | −0.390451 | − | 0.260891i | ||||
\(172\) | −79.4251 | − | 100.726i | −0.461774 | − | 0.585615i | ||||
\(173\) | −105.984 | − | 21.0816i | −0.612626 | − | 0.121859i | −0.120982 | − | 0.992655i | \(-0.538604\pi\) |
−0.491645 | + | 0.870796i | \(0.663604\pi\) | |||||||
\(174\) | 60.9181 | − | 99.4224i | 0.350104 | − | 0.571393i | ||||
\(175\) | −63.7642 | + | 63.7642i | −0.364367 | + | 0.364367i | ||||
\(176\) | 229.936 | − | 84.8895i | 1.30645 | − | 0.482327i | ||||
\(177\) | −52.0969 | + | 52.0969i | −0.294333 | + | 0.294333i | ||||
\(178\) | 243.423 | − | 58.4560i | 1.36755 | − | 0.328405i | ||||
\(179\) | 337.605 | + | 67.1537i | 1.88606 | + | 0.375161i | 0.996638 | − | 0.0819284i | \(-0.0261079\pi\) |
0.889421 | + | 0.457089i | \(0.151108\pi\) | |||||||
\(180\) | −14.9860 | − | 8.39021i | −0.0832553 | − | 0.0466123i | ||||
\(181\) | 221.168 | + | 147.780i | 1.22192 | + | 0.816463i | 0.987798 | − | 0.155743i | \(-0.0497771\pi\) |
0.234126 | + | 0.972206i | \(0.424777\pi\) | |||||||
\(182\) | 5.70405 | + | 144.959i | 0.0313410 | + | 0.796481i | ||||
\(183\) | 11.9114 | + | 4.93385i | 0.0650894 | + | 0.0269609i | ||||
\(184\) | −220.052 | + | 188.010i | −1.19594 | + | 1.02179i | ||||
\(185\) | −35.2702 | − | 85.1498i | −0.190650 | − | 0.460269i | ||||
\(186\) | 57.3294 | − | 26.4333i | 0.308223 | − | 0.142115i | ||||
\(187\) | 38.6808 | − | 7.69409i | 0.206849 | − | 0.0411449i | ||||
\(188\) | −159.307 | + | 81.1948i | −0.847378 | + | 0.431887i | ||||
\(189\) | −11.3423 | − | 16.9749i | −0.0600121 | − | 0.0898144i | ||||
\(190\) | 75.6764 | + | 11.9814i | 0.398297 | + | 0.0630599i | ||||
\(191\) | 303.522i | 1.58912i | 0.607185 | + | 0.794560i | \(0.292299\pi\) | ||||
−0.607185 | + | 0.794560i | \(0.707701\pi\) | |||||||
\(192\) | −104.013 | − | 38.3306i | −0.541736 | − | 0.199639i | ||||
\(193\) | 193.041 | 1.00021 | 0.500106 | − | 0.865964i | \(-0.333294\pi\) | ||||
0.500106 | + | 0.865964i | \(0.333294\pi\) | |||||||
\(194\) | −35.0307 | + | 221.260i | −0.180571 | + | 1.14052i | ||||
\(195\) | −38.0532 | + | 25.4263i | −0.195145 | + | 0.130391i | ||||
\(196\) | −119.613 | + | 60.9635i | −0.610269 | + | 0.311038i | ||||
\(197\) | −1.91705 | − | 9.63768i | −0.00973124 | − | 0.0489222i | 0.975615 | − | 0.219491i | \(-0.0704396\pi\) |
−0.985346 | + | 0.170569i | \(0.945440\pi\) | |||||||
\(198\) | 38.4858 | + | 83.4692i | 0.194373 | + | 0.421562i | ||||
\(199\) | −15.5562 | + | 6.44359i | −0.0781719 | + | 0.0323799i | −0.421427 | − | 0.906862i | \(-0.638471\pi\) |
0.343255 | + | 0.939242i | \(0.388471\pi\) | |||||||
\(200\) | −183.049 | − | 14.3736i | −0.915245 | − | 0.0718681i | ||||
\(201\) | −10.6368 | + | 25.6795i | −0.0529194 | + | 0.127759i | ||||
\(202\) | 113.240 | − | 4.45593i | 0.560596 | − | 0.0220590i | ||||
\(203\) | −73.4735 | + | 109.961i | −0.361939 | + | 0.541679i | ||||
\(204\) | −15.5633 | − | 8.71345i | −0.0762907 | − | 0.0427130i | ||||
\(205\) | −15.4264 | + | 77.5537i | −0.0752507 | + | 0.378311i | ||||
\(206\) | −2.97600 | − | 12.3927i | −0.0144466 | − | 0.0601588i | ||||
\(207\) | −76.7472 | − | 76.7472i | −0.370760 | − | 0.370760i | ||||
\(208\) | −216.863 | + | 200.561i | −1.04261 | + | 0.964235i | ||||
\(209\) | −289.943 | − | 289.943i | −1.38729 | − | 1.38729i | ||||
\(210\) | 16.6097 | + | 10.1771i | 0.0790940 | + | 0.0484624i | ||||
\(211\) | −47.8390 | + | 240.503i | −0.226725 | + | 1.13982i | 0.684848 | + | 0.728686i | \(0.259869\pi\) |
−0.911573 | + | 0.411138i | \(0.865131\pi\) | |||||||
\(212\) | 128.212 | + | 162.596i | 0.604771 | + | 0.766962i | ||||
\(213\) | 36.3870 | − | 54.4570i | 0.170831 | − | 0.255667i | ||||
\(214\) | −69.3989 | − | 64.1441i | −0.324294 | − | 0.299739i | ||||
\(215\) | −17.5641 | + | 42.4036i | −0.0816936 | + | 0.197226i | ||||
\(216\) | 11.2765 | − | 40.0105i | 0.0522059 | − | 0.185234i | ||||
\(217\) | −66.1515 | + | 27.4008i | −0.304846 | + | 0.126271i | ||||
\(218\) | −334.591 | − | 123.415i | −1.53482 | − | 0.566122i | ||||
\(219\) | −9.22690 | − | 46.3868i | −0.0421320 | − | 0.211812i | ||||
\(220\) | −66.6950 | − | 56.9493i | −0.303159 | − | 0.258860i | ||||
\(221\) | −39.5192 | + | 26.4059i | −0.178820 | + | 0.119484i | ||||
\(222\) | 180.462 | − | 131.130i | 0.812894 | − | 0.590675i | ||||
\(223\) | −139.734 | −0.626611 | −0.313305 | − | 0.949652i | \(-0.601436\pi\) | ||||
−0.313305 | + | 0.949652i | \(0.601436\pi\) | |||||||
\(224\) | 116.171 | + | 48.0794i | 0.518621 | + | 0.214640i | ||||
\(225\) | − | 68.8547i | − | 0.306021i | ||||||
\(226\) | −92.5837 | + | 67.2744i | −0.409662 | + | 0.297674i | ||||
\(227\) | −54.3443 | − | 81.3320i | −0.239402 | − | 0.358291i | 0.692240 | − | 0.721667i | \(-0.256624\pi\) |
−0.931642 | + | 0.363376i | \(0.881624\pi\) | |||||||
\(228\) | 14.5717 | + | 184.872i | 0.0639111 | + | 0.810842i | ||||
\(229\) | 26.0209 | − | 5.17587i | 0.113628 | − | 0.0226021i | −0.137949 | − | 0.990439i | \(-0.544051\pi\) |
0.251577 | + | 0.967837i | \(0.419051\pi\) | |||||||
\(230\) | 97.1624 | + | 35.8386i | 0.422445 | + | 0.155820i | ||||
\(231\) | −39.8945 | − | 96.3138i | −0.172703 | − | 0.416943i | ||||
\(232\) | −267.407 | + | 31.6978i | −1.15262 | + | 0.136628i | ||||
\(233\) | −197.946 | − | 81.9919i | −0.849554 | − | 0.351897i | −0.0849405 | − | 0.996386i | \(-0.527070\pi\) |
−0.764613 | + | 0.644489i | \(0.777070\pi\) | |||||||
\(234\) | −81.3457 | − | 75.1863i | −0.347631 | − | 0.321309i | ||||
\(235\) | 53.1959 | + | 35.5444i | 0.226365 | + | 0.151253i | ||||
\(236\) | 168.971 | + | 19.9787i | 0.715977 | + | 0.0846557i | ||||
\(237\) | 113.107 | + | 22.4983i | 0.477243 | + | 0.0949295i | ||||
\(238\) | 17.2496 | + | 10.5692i | 0.0724775 | + | 0.0444084i | ||||
\(239\) | 45.8748 | − | 45.8748i | 0.191945 | − | 0.191945i | −0.604591 | − | 0.796536i | \(-0.706664\pi\) |
0.796536 | + | 0.604591i | \(0.206664\pi\) | |||||||
\(240\) | 6.21401 | + | 39.1738i | 0.0258917 | + | 0.163224i | ||||
\(241\) | 200.307 | − | 200.307i | 0.831150 | − | 0.831150i | −0.156525 | − | 0.987674i | \(-0.550029\pi\) |
0.987674 | + | 0.156525i | \(0.0500290\pi\) | |||||||
\(242\) | 53.0865 | + | 221.064i | 0.219366 | + | 0.913487i | ||||
\(243\) | 15.2889 | + | 3.04116i | 0.0629174 | + | 0.0125150i | ||||
\(244\) | −8.08541 | − | 28.6557i | −0.0331369 | − | 0.117441i | ||||
\(245\) | 39.9411 | + | 26.6878i | 0.163025 | + | 0.108930i | ||||
\(246\) | −191.237 | + | 7.52505i | −0.777387 | + | 0.0305896i | ||||
\(247\) | 456.545 | + | 189.107i | 1.84836 | + | 0.765616i | ||||
\(248\) | −129.914 | − | 66.1653i | −0.523845 | − | 0.266796i | ||||
\(249\) | 54.3810 | + | 131.287i | 0.218398 | + | 0.527259i | ||||
\(250\) | 57.4726 | + | 124.648i | 0.229890 | + | 0.498593i | ||||
\(251\) | 390.758 | − | 77.7266i | 1.55681 | − | 0.309668i | 0.659715 | − | 0.751515i | \(-0.270677\pi\) |
0.897090 | + | 0.441848i | \(0.145677\pi\) | |||||||
\(252\) | −14.5642 | + | 44.8419i | −0.0577943 | + | 0.177944i | ||||
\(253\) | −307.913 | − | 460.824i | −1.21705 | − | 1.82144i | ||||
\(254\) | 38.6172 | − | 243.913i | 0.152036 | − | 0.960286i | ||||
\(255\) | 6.38206i | 0.0250277i | ||||||||
\(256\) | 79.2235 | + | 243.433i | 0.309467 | + | 0.950910i | ||||
\(257\) | 199.393 | 0.775850 | 0.387925 | − | 0.921691i | \(-0.373192\pi\) | ||||
0.387925 | + | 0.921691i | \(0.373192\pi\) | |||||||
\(258\) | −109.721 | − | 17.3715i | −0.425276 | − | 0.0673313i | ||||
\(259\) | −210.370 | + | 140.565i | −0.812238 | + | 0.542720i | ||||
\(260\) | 100.523 | + | 32.6489i | 0.386628 | + | 0.125573i | ||||
\(261\) | −19.7001 | − | 99.0393i | −0.0754795 | − | 0.379461i | ||||
\(262\) | 253.363 | − | 116.820i | 0.967035 | − | 0.445878i | ||||
\(263\) | −288.125 | + | 119.345i | −1.09553 | + | 0.453785i | −0.855933 | − | 0.517086i | \(-0.827017\pi\) |
−0.239601 | + | 0.970871i | \(0.577017\pi\) | |||||||
\(264\) | 96.3339 | − | 189.149i | 0.364901 | − | 0.716473i | ||||
\(265\) | 28.3528 | − | 68.4497i | 0.106992 | − | 0.258301i | ||||
\(266\) | −8.27001 | − | 210.169i | −0.0310903 | − | 0.790109i | ||||
\(267\) | 120.450 | − | 180.266i | 0.451123 | − | 0.675154i | ||||
\(268\) | 61.7785 | − | 17.4312i | 0.230517 | − | 0.0650418i | ||||
\(269\) | 82.7669 | − | 416.097i | 0.307684 | − | 1.54683i | −0.449291 | − | 0.893386i | \(-0.648323\pi\) |
0.756974 | − | 0.653445i | \(-0.226677\pi\) | |||||||
\(270\) | −14.4627 | + | 3.47308i | −0.0535654 | + | 0.0128633i | ||||
\(271\) | 342.545 | + | 342.545i | 1.26400 | + | 1.26400i | 0.949136 | + | 0.314867i | \(0.101960\pi\) |
0.314867 | + | 0.949136i | \(0.398040\pi\) | |||||||
\(272\) | 6.45341 | + | 40.6830i | 0.0237258 | + | 0.149570i | ||||
\(273\) | 88.8379 | + | 88.8379i | 0.325413 | + | 0.325413i | ||||
\(274\) | 124.384 | − | 203.004i | 0.453958 | − | 0.740890i | ||||
\(275\) | 68.5932 | − | 344.841i | 0.249430 | − | 1.25397i | ||||
\(276\) | −29.4320 | + | 248.921i | −0.106638 | + | 0.901889i | ||||
\(277\) | −97.5159 | + | 145.943i | −0.352043 | + | 0.526870i | −0.964656 | − | 0.263514i | \(-0.915119\pi\) |
0.612613 | + | 0.790383i | \(0.290119\pi\) | |||||||
\(278\) | −173.902 | + | 188.148i | −0.625546 | + | 0.676792i | ||||
\(279\) | 20.9221 | − | 50.5105i | 0.0749897 | − | 0.181041i | ||||
\(280\) | −5.29550 | − | 44.6736i | −0.0189125 | − | 0.159548i | ||||
\(281\) | −250.897 | + | 103.925i | −0.892873 | + | 0.369840i | −0.781476 | − | 0.623936i | \(-0.785533\pi\) |
−0.111397 | + | 0.993776i | \(0.535533\pi\) | |||||||
\(282\) | −53.5876 | + | 145.282i | −0.190027 | + | 0.515185i | ||||
\(283\) | 8.97289 | + | 45.1097i | 0.0317063 | + | 0.159398i | 0.993395 | − | 0.114746i | \(-0.0366054\pi\) |
−0.961689 | + | 0.274144i | \(0.911605\pi\) | |||||||
\(284\) | −150.786 | + | 11.8851i | −0.530938 | + | 0.0418489i | ||||
\(285\) | 55.1713 | − | 36.8643i | 0.193584 | − | 0.129348i | ||||
\(286\) | −332.498 | − | 457.588i | −1.16258 | − | 1.59996i | ||||
\(287\) | 217.069 | 0.756337 | ||||||||
\(288\) | −88.6816 | + | 36.7638i | −0.307922 | + | 0.127652i | ||||
\(289\) | − | 282.372i | − | 0.977066i | ||||||
\(290\) | 56.6379 | + | 77.9457i | 0.195303 | + | 0.268778i | ||||
\(291\) | 107.783 | + | 161.308i | 0.370387 | + | 0.554323i | ||||
\(292\) | −70.9257 | + | 83.0632i | −0.242896 | + | 0.284463i | ||||
\(293\) | −90.9222 | + | 18.0855i | −0.310315 | + | 0.0617254i | −0.347791 | − | 0.937572i | \(-0.613068\pi\) |
0.0374764 | + | 0.999298i | \(0.488068\pi\) | |||||||
\(294\) | −40.2352 | + | 109.082i | −0.136855 | + | 0.371028i | ||||
\(295\) | −23.2979 | − | 56.2461i | −0.0789759 | − | 0.190665i | ||||
\(296\) | −495.849 | − | 139.749i | −1.67517 | − | 0.472125i | ||||
\(297\) | 73.5411 | + | 30.4617i | 0.247613 | + | 0.102565i | ||||
\(298\) | −23.1514 | + | 25.0480i | −0.0776892 | + | 0.0840537i | ||||
\(299\) | 555.361 | + | 371.081i | 1.85740 | + | 1.24107i | ||||
\(300\) | −124.864 | + | 98.4588i | −0.416213 | + | 0.328196i | ||||
\(301\) | 123.575 | + | 24.5805i | 0.410547 | + | 0.0816629i | ||||
\(302\) | −211.840 | + | 345.737i | −0.701456 | + | 1.14482i | ||||
\(303\) | 69.3989 | − | 69.3989i | 0.229039 | − | 0.229039i | ||||
\(304\) | 314.418 | − | 290.783i | 1.03427 | − | 0.956522i | ||||
\(305\) | −7.53323 | + | 7.53323i | −0.0246991 | + | 0.0246991i | ||||
\(306\) | −15.0199 | + | 3.60689i | −0.0490845 | + | 0.0117872i | ||||
\(307\) | −453.172 | − | 90.1415i | −1.47613 | − | 0.293620i | −0.609585 | − | 0.792721i | \(-0.708664\pi\) |
−0.866544 | + | 0.499100i | \(0.833664\pi\) | |||||||
\(308\) | −117.612 | + | 210.070i | −0.381858 | + | 0.682046i | ||||
\(309\) | −9.17737 | − | 6.13212i | −0.0297002 | − | 0.0198451i | ||||
\(310\) | 2.05110 | + | 52.1254i | 0.00661645 | + | 0.168147i | ||||
\(311\) | 19.2824 | + | 7.98703i | 0.0620013 | + | 0.0256818i | 0.413469 | − | 0.910518i | \(-0.364317\pi\) |
−0.351467 | + | 0.936200i | \(0.614317\pi\) | |||||||
\(312\) | −20.0257 | + | 255.029i | −0.0641849 | + | 0.817399i | ||||
\(313\) | 158.656 | + | 383.031i | 0.506890 | + | 1.22374i | 0.945665 | + | 0.325143i | \(0.105412\pi\) |
−0.438775 | + | 0.898597i | \(0.644588\pi\) | |||||||
\(314\) | 225.150 | − | 103.812i | 0.717039 | − | 0.330611i | ||||
\(315\) | 16.5457 | − | 3.29115i | 0.0525261 | − | 0.0104481i | ||||
\(316\) | −120.937 | − | 237.284i | −0.382713 | − | 0.750898i | ||||
\(317\) | −150.383 | − | 225.064i | −0.474395 | − | 0.709983i | 0.514682 | − | 0.857381i | \(-0.327910\pi\) |
−0.989077 | + | 0.147399i | \(0.952910\pi\) | |||||||
\(318\) | 177.117 | + | 28.0418i | 0.556971 | + | 0.0881819i | ||||
\(319\) | − | 515.638i | − | 1.61642i | ||||||
\(320\) | 62.1537 | − | 67.2853i | 0.194230 | − | 0.210267i | ||||
\(321\) | −81.8414 | −0.254958 | ||||||||
\(322\) | 44.4566 | − | 280.795i | 0.138064 | − | 0.872035i | ||||
\(323\) | 57.2968 | − | 38.2845i | 0.177390 | − | 0.118528i | ||||
\(324\) | −16.3474 | − | 32.0743i | −0.0504551 | − | 0.0989948i | ||||
\(325\) | 82.6649 | + | 415.584i | 0.254353 | + | 1.27872i | ||||
\(326\) | 242.428 | + | 525.786i | 0.743646 | + | 1.61284i | ||||
\(327\) | −285.338 | + | 118.191i | −0.872593 | + | 0.361440i | ||||
\(328\) | 287.106 | + | 336.037i | 0.875323 | + | 1.02450i | ||||
\(329\) | 67.2109 | − | 162.262i | 0.204289 | − | 0.493196i | ||||
\(330\) | −75.8924 | + | 2.98631i | −0.229977 | + | 0.00904944i | ||||
\(331\) | −338.192 | + | 506.140i | −1.02173 | + | 1.52912i | −0.184080 | + | 0.982911i | \(0.558931\pi\) |
−0.837647 | + | 0.546212i | \(0.816069\pi\) | |||||||
\(332\) | 160.320 | − | 286.352i | 0.482892 | − | 0.862505i | ||||
\(333\) | 37.6890 | − | 189.475i | 0.113180 | − | 0.568995i | ||||
\(334\) | −4.07074 | − | 16.9514i | −0.0121878 | − | 0.0507528i | ||||
\(335\) | −16.2408 | − | 16.2408i | −0.0484800 | − | 0.0484800i | ||||
\(336\) | 102.144 | − | 37.7104i | 0.304001 | − | 0.112233i | ||||
\(337\) | −202.039 | − | 202.039i | −0.599521 | − | 0.599521i | 0.340664 | − | 0.940185i | \(-0.389348\pi\) |
−0.940185 | + | 0.340664i | \(0.889348\pi\) | |||||||
\(338\) | 293.040 | + | 179.551i | 0.866981 | + | 0.531216i | ||||
\(339\) | −19.3358 | + | 97.2076i | −0.0570377 | + | 0.286748i | ||||
\(340\) | 11.5735 | − | 9.12603i | 0.0340397 | − | 0.0268413i | ||||
\(341\) | 155.102 | − | 232.126i | 0.454843 | − | 0.680721i | ||||
\(342\) | 117.939 | + | 109.009i | 0.344851 | + | 0.318739i | ||||
\(343\) | 124.138 | − | 299.696i | 0.361919 | − | 0.873750i | ||||
\(344\) | 125.394 | + | 223.813i | 0.364517 | + | 0.650620i | ||||
\(345\) | 82.8597 | − | 34.3216i | 0.240173 | − | 0.0994830i | ||||
\(346\) | 202.768 | + | 74.7913i | 0.586034 | + | 0.216160i | ||||
\(347\) | 33.6065 | + | 168.951i | 0.0968488 | + | 0.486892i | 0.998516 | + | 0.0544610i | \(0.0173440\pi\) |
−0.901667 | + | 0.432431i | \(0.857656\pi\) | |||||||
\(348\) | −151.432 | + | 177.346i | −0.435149 | + | 0.509616i | ||||
\(349\) | 174.158 | − | 116.368i | 0.499019 | − | 0.333434i | −0.280456 | − | 0.959867i | \(-0.590486\pi\) |
0.779475 | + | 0.626433i | \(0.215486\pi\) | |||||||
\(350\) | 145.902 | − | 106.017i | 0.416863 | − | 0.302906i | ||||
\(351\) | −95.9301 | −0.273305 | ||||||||
\(352\) | −480.763 | + | 95.7774i | −1.36580 | + | 0.272095i | ||||
\(353\) | − | 453.593i | − | 1.28497i | −0.766300 | − | 0.642483i | \(-0.777904\pi\) | ||
0.766300 | − | 0.642483i | \(-0.222096\pi\) | |||||||
\(354\) | 119.205 | − | 86.6185i | 0.336738 | − | 0.244685i | ||||
\(355\) | 30.0675 | + | 44.9991i | 0.0846971 | + | 0.126758i | ||||
\(356\) | −499.140 | + | 39.3425i | −1.40208 | + | 0.110513i | ||||
\(357\) | 17.1832 | − | 3.41794i | 0.0481321 | − | 0.00957407i | ||||
\(358\) | −645.900 | − | 238.242i | −1.80419 | − | 0.665480i | ||||
\(359\) | −56.3437 | − | 136.026i | −0.156946 | − | 0.378902i | 0.825773 | − | 0.564002i | \(-0.190739\pi\) |
−0.982720 | + | 0.185100i | \(0.940739\pi\) | |||||||
\(360\) | 26.9791 | + | 21.2609i | 0.0749420 | + | 0.0590580i | ||||
\(361\) | −328.400 | − | 136.028i | −0.909695 | − | 0.376808i | ||||
\(362\) | −390.676 | − | 361.094i | −1.07922 | − | 0.997498i | ||||
\(363\) | 163.708 | + | 109.386i | 0.450985 | + | 0.301339i | ||||
\(364\) | 34.0686 | − | 288.136i | 0.0935951 | − | 0.791583i | ||||
\(365\) | 38.3305 | + | 7.62441i | 0.105015 | + | 0.0208888i | ||||
\(366\) | −21.9866 | − | 13.4716i | −0.0600726 | − | 0.0368076i | ||||
\(367\) | −189.859 | + | 189.859i | −0.517327 | + | 0.517327i | −0.916762 | − | 0.399435i | \(-0.869206\pi\) |
0.399435 | + | 0.916762i | \(0.369206\pi\) | |||||||
\(368\) | 493.491 | − | 302.572i | 1.34101 | − | 0.822207i | ||||
\(369\) | −117.199 | + | 117.199i | −0.317613 | + | 0.317613i | ||||
\(370\) | 43.0418 | + | 179.235i | 0.116329 | + | 0.484420i | ||||
\(371\) | −199.480 | − | 39.6790i | −0.537681 | − | 0.106951i | ||||
\(372\) | −121.515 | + | 34.2864i | −0.326654 | + | 0.0921677i | ||||
\(373\) | 448.297 | + | 299.542i | 1.20187 | + | 0.803063i | 0.984901 | − | 0.173116i | \(-0.0553837\pi\) |
0.216967 | + | 0.976179i | \(0.430384\pi\) | |||||||
\(374\) | −78.8163 | + | 3.10136i | −0.210739 | + | 0.00829242i | ||||
\(375\) | 109.822 | + | 45.4898i | 0.292859 | + | 0.121306i | ||||
\(376\) | 340.088 | − | 110.568i | 0.904490 | − | 0.294064i | ||||
\(377\) | 237.807 | + | 574.117i | 0.630788 | + | 1.52286i | ||||
\(378\) | 17.0965 | + | 37.0795i | 0.0452290 | + | 0.0980939i | ||||
\(379\) | 503.557 | − | 100.164i | 1.32865 | − | 0.264284i | 0.520801 | − | 0.853678i | \(-0.325633\pi\) |
0.807846 | + | 0.589394i | \(0.200633\pi\) | |||||||
\(380\) | −145.744 | − | 47.3359i | −0.383536 | − | 0.124568i | ||||
\(381\) | −118.817 | − | 177.823i | −0.311857 | − | 0.466726i | ||||
\(382\) | 94.9272 | − | 599.576i | 0.248500 | − | 1.56957i | ||||
\(383\) | − | 209.616i | − | 0.547300i | −0.961829 | − | 0.273650i | \(-0.911769\pi\) | ||
0.961829 | − | 0.273650i | \(-0.0882310\pi\) | |||||||
\(384\) | 193.479 | + | 108.249i | 0.503852 | + | 0.281897i | ||||
\(385\) | 86.1437 | 0.223750 | ||||||||
\(386\) | −381.332 | − | 60.3740i | −0.987907 | − | 0.156409i | ||||
\(387\) | −79.9914 | + | 53.4486i | −0.206696 | + | 0.138110i | ||||
\(388\) | 138.399 | − | 426.120i | 0.356699 | − | 1.09825i | ||||
\(389\) | −14.3097 | − | 71.9396i | −0.0367858 | − | 0.184935i | 0.958024 | − | 0.286689i | \(-0.0925546\pi\) |
−0.994810 | + | 0.101754i | \(0.967555\pi\) | |||||||
\(390\) | 83.1222 | − | 38.3258i | 0.213134 | − | 0.0982713i | ||||
\(391\) | 86.0520 | − | 35.6439i | 0.220082 | − | 0.0911608i | ||||
\(392\) | 255.349 | − | 83.0179i | 0.651400 | − | 0.211780i | ||||
\(393\) | 92.4637 | − | 223.227i | 0.235277 | − | 0.568008i | ||||
\(394\) | 0.772733 | + | 19.6378i | 0.00196125 | + | 0.0498421i | ||||
\(395\) | −52.9423 | + | 79.2338i | −0.134031 | + | 0.200592i | ||||
\(396\) | −49.9195 | − | 176.921i | −0.126059 | − | 0.446771i | ||||
\(397\) | −70.7316 | + | 355.592i | −0.178165 | + | 0.895697i | 0.783483 | + | 0.621413i | \(0.213441\pi\) |
−0.961649 | + | 0.274284i | \(0.911559\pi\) | |||||||
\(398\) | 32.7449 | − | 7.86341i | 0.0822737 | − | 0.0197573i | ||||
\(399\) | −128.801 | − | 128.801i | −0.322810 | − | 0.322810i | ||||
\(400\) | 357.099 | + | 85.6426i | 0.892747 | + | 0.214106i | ||||
\(401\) | 363.574 | + | 363.574i | 0.906668 | + | 0.906668i | 0.996002 | − | 0.0893338i | \(-0.0284738\pi\) |
−0.0893338 | + | 0.996002i | \(0.528474\pi\) | |||||||
\(402\) | 29.0432 | − | 47.4005i | 0.0722468 | − | 0.117912i | ||||
\(403\) | −65.6377 | + | 329.983i | −0.162873 | + | 0.818816i | ||||
\(404\) | −225.088 | − | 26.6139i | −0.557148 | − | 0.0658761i | ||||
\(405\) | −7.15637 | + | 10.7103i | −0.0176700 | + | 0.0264451i | ||||
\(406\) | 179.530 | − | 194.237i | 0.442192 | − | 0.478417i | ||||
\(407\) | 377.511 | − | 911.392i | 0.927545 | − | 2.23929i | ||||
\(408\) | 28.0185 | + | 22.0800i | 0.0686729 | + | 0.0541176i | ||||
\(409\) | 50.3237 | − | 20.8447i | 0.123041 | − | 0.0509652i | −0.320314 | − | 0.947312i | \(-0.603788\pi\) |
0.443354 | + | 0.896346i | \(0.353788\pi\) | |||||||
\(410\) | 54.7283 | − | 148.375i | 0.133484 | − | 0.361889i | ||||
\(411\) | −40.2244 | − | 202.221i | −0.0978695 | − | 0.492023i | ||||
\(412\) | 2.00293 | + | 25.4113i | 0.00486149 | + | 0.0616778i | ||||
\(413\) | −138.961 | + | 92.8506i | −0.336467 | + | 0.224820i | ||||
\(414\) | 127.603 | + | 175.609i | 0.308220 | + | 0.424176i | ||||
\(415\) | −117.424 | −0.282950 | ||||||||
\(416\) | 491.115 | − | 328.363i | 1.18057 | − | 0.789334i | ||||
\(417\) | 221.881i | 0.532088i | ||||||||
\(418\) | 482.072 | + | 663.433i | 1.15328 | + | 1.58716i | ||||
\(419\) | −278.025 | − | 416.094i | −0.663544 | − | 0.993064i | −0.998704 | − | 0.0509028i | \(-0.983790\pi\) |
0.335159 | − | 0.942161i | \(-0.391210\pi\) | |||||||
\(420\) | −29.6279 | − | 25.2985i | −0.0705426 | − | 0.0602346i | ||||
\(421\) | −673.485 | + | 133.964i | −1.59973 | + | 0.318205i | −0.912764 | − | 0.408488i | \(-0.866056\pi\) |
−0.686962 | + | 0.726693i | \(0.741056\pi\) | |||||||
\(422\) | 169.719 | − | 460.127i | 0.402177 | − | 1.09035i | ||||
\(423\) | 51.3194 | + | 123.896i | 0.121322 | + | 0.292898i | ||||
\(424\) | −202.416 | − | 361.290i | −0.477397 | − | 0.852099i | ||||
\(425\) | 54.5904 | + | 22.6121i | 0.128448 | + | 0.0532050i | ||||
\(426\) | −88.9103 | + | 96.1940i | −0.208710 | + | 0.225808i | ||||
\(427\) | 24.3171 | + | 16.2481i | 0.0569486 | + | 0.0380519i | ||||
\(428\) | 117.029 | + | 148.415i | 0.273433 | + | 0.346763i | ||||
\(429\) | −480.441 | − | 95.5657i | −1.11991 | − | 0.222764i | ||||
\(430\) | 47.9579 | − | 78.2706i | 0.111530 | − | 0.182025i | ||||
\(431\) | −362.851 | + | 362.851i | −0.841883 | + | 0.841883i | −0.989104 | − | 0.147221i | \(-0.952967\pi\) |
0.147221 | + | 0.989104i | \(0.452967\pi\) | |||||||
\(432\) | −34.7889 | + | 75.5098i | −0.0805298 | + | 0.174791i | ||||
\(433\) | −267.221 | + | 267.221i | −0.617139 | + | 0.617139i | −0.944796 | − | 0.327658i | \(-0.893741\pi\) |
0.327658 | + | 0.944796i | \(0.393741\pi\) | |||||||
\(434\) | 139.245 | − | 33.4385i | 0.320841 | − | 0.0770472i | ||||
\(435\) | 81.8386 | + | 16.2787i | 0.188135 | + | 0.0374223i | ||||
\(436\) | 622.351 | + | 348.437i | 1.42741 | + | 0.799167i | ||||
\(437\) | −805.189 | − | 538.010i | −1.84254 | − | 1.23114i | ||||
\(438\) | 3.71921 | + | 94.5179i | 0.00849136 | + | 0.215794i | ||||
\(439\) | −376.521 | − | 155.960i | −0.857679 | − | 0.355262i | −0.0898796 | − | 0.995953i | \(-0.528648\pi\) |
−0.767799 | + | 0.640690i | \(0.778648\pi\) | |||||||
\(440\) | 113.938 | + | 133.356i | 0.258950 | + | 0.303082i | ||||
\(441\) | 38.5322 | + | 93.0249i | 0.0873745 | + | 0.210941i | ||||
\(442\) | 86.3246 | − | 39.8024i | 0.195304 | − | 0.0900506i | ||||
\(443\) | −287.323 | + | 57.1521i | −0.648585 | + | 0.129012i | −0.508410 | − | 0.861115i | \(-0.669766\pi\) |
−0.140175 | + | 0.990127i | \(0.544766\pi\) | |||||||
\(444\) | −397.496 | + | 202.593i | −0.895261 | + | 0.456291i | ||||
\(445\) | 99.5307 | + | 148.958i | 0.223665 | + | 0.334738i | ||||
\(446\) | 276.030 | + | 43.7022i | 0.618902 | + | 0.0979870i | ||||
\(447\) | 29.5388i | 0.0660824i | ||||||||
\(448\) | −214.447 | − | 131.309i | −0.478676 | − | 0.293100i | ||||
\(449\) | 872.449 | 1.94309 | 0.971547 | − | 0.236846i | \(-0.0761137\pi\) | ||||
0.971547 | + | 0.236846i | \(0.0761137\pi\) | |||||||
\(450\) | −21.5345 | + | 136.015i | −0.0478543 | + | 0.302256i | ||||
\(451\) | −703.715 | + | 470.207i | −1.56034 | + | 1.04259i | ||||
\(452\) | 203.930 | − | 103.938i | 0.451172 | − | 0.229951i | ||||
\(453\) | 68.5063 | + | 344.404i | 0.151228 | + | 0.760275i | ||||
\(454\) | 81.9147 | + | 177.659i | 0.180429 | + | 0.391320i | ||||
\(455\) | −95.9133 | + | 39.7286i | −0.210799 | + | 0.0873156i | ||||
\(456\) | 29.0342 | − | 369.752i | 0.0636714 | − | 0.810861i | ||||
\(457\) | 137.369 | − | 331.637i | 0.300588 | − | 0.725683i | −0.699353 | − | 0.714777i | \(-0.746528\pi\) |
0.999941 | − | 0.0109065i | \(-0.00347171\pi\) | |||||||
\(458\) | −53.0202 | + | 2.08631i | −0.115765 | + | 0.00455526i | ||||
\(459\) | −7.43207 | + | 11.1229i | −0.0161919 | + | 0.0242329i | ||||
\(460\) | −180.726 | − | 101.183i | −0.392882 | − | 0.219963i | ||||
\(461\) | −146.436 | + | 736.181i | −0.317648 | + | 1.59692i | 0.410737 | + | 0.911754i | \(0.365271\pi\) |
−0.728385 | + | 0.685168i | \(0.759729\pi\) | |||||||
\(462\) | 48.6850 | + | 202.735i | 0.105379 | + | 0.438820i | ||||
\(463\) | 340.663 | + | 340.663i | 0.735774 | + | 0.735774i | 0.971757 | − | 0.235983i | \(-0.0758310\pi\) |
−0.235983 | + | 0.971757i | \(0.575831\pi\) | |||||||
\(464\) | 538.148 | + | 21.0165i | 1.15980 | + | 0.0452941i | ||||
\(465\) | 31.9449 | + | 31.9449i | 0.0686987 | + | 0.0686987i | ||||
\(466\) | 365.379 | + | 223.875i | 0.784074 | + | 0.480417i | ||||
\(467\) | −66.2262 | + | 332.942i | −0.141812 | + | 0.712937i | 0.842806 | + | 0.538217i | \(0.180902\pi\) |
−0.984618 | + | 0.174720i | \(0.944098\pi\) | |||||||
\(468\) | 137.175 | + | 173.964i | 0.293110 | + | 0.371717i | ||||
\(469\) | −35.0292 | + | 52.4248i | −0.0746890 | + | 0.111780i | ||||
\(470\) | −93.9663 | − | 86.8513i | −0.199928 | − | 0.184790i | ||||
\(471\) | 82.1675 | − | 198.370i | 0.174453 | − | 0.421167i | ||||
\(472\) | −327.535 | − | 92.3119i | −0.693931 | − | 0.195576i | ||||
\(473\) | −453.862 | + | 187.996i | −0.959539 | + | 0.397454i | ||||
\(474\) | −216.394 | − | 79.8173i | −0.456527 | − | 0.168391i | ||||
\(475\) | −119.851 | − | 602.534i | −0.252319 | − | 1.26849i | ||||
\(476\) | −30.7693 | − | 26.2732i | −0.0646414 | − | 0.0551958i | ||||
\(477\) | 129.126 | − | 86.2791i | 0.270704 | − | 0.180879i | ||||
\(478\) | −104.968 | + | 76.2734i | −0.219599 | + | 0.159568i | ||||
\(479\) | −93.9147 | −0.196064 | −0.0980321 | − | 0.995183i | \(-0.531255\pi\) | ||||
−0.0980321 | + | 0.995183i | \(0.531255\pi\) | |||||||
\(480\) | −0.0234423 | − | 79.3271i | −4.88381e−5 | − | 0.165265i | ||||
\(481\) | 1188.86i | 2.47164i | ||||||||
\(482\) | −458.332 | + | 333.039i | −0.950896 | + | 0.690952i | ||||
\(483\) | −136.784 | − | 204.712i | −0.283197 | − | 0.423834i | ||||
\(484\) | −35.7287 | − | 453.291i | −0.0738196 | − | 0.936552i | ||||
\(485\) | −157.230 | + | 31.2749i | −0.324185 | + | 0.0644843i | ||||
\(486\) | −29.2505 | − | 10.7891i | −0.0601863 | − | 0.0221999i | ||||
\(487\) | 96.6580 | + | 233.353i | 0.198476 | + | 0.479165i | 0.991513 | − | 0.130010i | \(-0.0415009\pi\) |
−0.793036 | + | 0.609174i | \(0.791501\pi\) | |||||||
\(488\) | 7.00973 | + | 59.1351i | 0.0143642 | + | 0.121178i | ||||
\(489\) | 463.247 | + | 191.883i | 0.947336 | + | 0.392399i | ||||
\(490\) | −70.5528 | − | 65.2106i | −0.143985 | − | 0.133083i | ||||
\(491\) | −605.102 | − | 404.316i | −1.23239 | − | 0.823455i | −0.243180 | − | 0.969981i | \(-0.578191\pi\) |
−0.989207 | + | 0.146526i | \(0.953191\pi\) | |||||||
\(492\) | 380.123 | + | 44.9449i | 0.772607 | + | 0.0913514i | ||||
\(493\) | 84.9915 | + | 16.9059i | 0.172396 | + | 0.0342918i | ||||
\(494\) | −842.713 | − | 516.347i | −1.70590 | − | 1.04524i | ||||
\(495\) | −46.5104 | + | 46.5104i | −0.0939604 | + | 0.0939604i | ||||
\(496\) | 235.937 | + | 171.333i | 0.475680 | + | 0.345430i | ||||
\(497\) | 105.054 | − | 105.054i | 0.211376 | − | 0.211376i | ||||
\(498\) | −66.3636 | − | 276.352i | −0.133260 | − | 0.554925i | ||||
\(499\) | 102.617 | + | 20.4118i | 0.205646 | + | 0.0409054i | 0.296838 | − | 0.954928i | \(-0.404068\pi\) |
−0.0911925 | + | 0.995833i | \(0.529068\pi\) | |||||||
\(500\) | −74.5470 | − | 264.204i | −0.149094 | − | 0.528409i | ||||
\(501\) | −12.5533 | − | 8.38785i | −0.0250565 | − | 0.0167422i | ||||
\(502\) | −796.211 | + | 31.3303i | −1.58608 | + | 0.0624111i | ||||
\(503\) | −21.8608 | − | 9.05505i | −0.0434609 | − | 0.0180021i | 0.360847 | − | 0.932625i | \(-0.382488\pi\) |
−0.404308 | + | 0.914623i | \(0.632488\pi\) | |||||||
\(504\) | 42.7944 | − | 84.0255i | 0.0849094 | − | 0.166717i | ||||
\(505\) | 31.0354 | + | 74.9261i | 0.0614563 | + | 0.148369i | ||||
\(506\) | 464.126 | + | 1006.61i | 0.917245 | + | 1.98935i | ||||
\(507\) | 291.910 | − | 58.0646i | 0.575760 | − | 0.114526i | ||||
\(508\) | −152.568 | + | 469.746i | −0.300332 | + | 0.924697i | ||||
\(509\) | −152.608 | − | 228.394i | −0.299820 | − | 0.448712i | 0.650719 | − | 0.759319i | \(-0.274468\pi\) |
−0.950538 | + | 0.310607i | \(0.899468\pi\) | |||||||
\(510\) | 1.99600 | − | 12.6071i | 0.00391373 | − | 0.0247198i | ||||
\(511\) | − | 107.285i | − | 0.209951i | ||||||
\(512\) | −80.3634 | − | 505.654i | −0.156960 | − | 0.987605i | ||||
\(513\) | 139.084 | 0.271119 | ||||||||
\(514\) | −393.881 | − | 62.3607i | −0.766305 | − | 0.121324i | ||||
\(515\) | 7.58348 | − | 5.06712i | 0.0147252 | − | 0.00983907i | ||||
\(516\) | 211.310 | + | 68.6311i | 0.409515 | + | 0.133006i | ||||
\(517\) | 133.595 | + | 671.626i | 0.258404 | + | 1.29908i | ||||
\(518\) | 459.525 | − | 211.877i | 0.887114 | − | 0.409029i | ||||
\(519\) | 172.919 | − | 71.6256i | 0.333178 | − | 0.138007i | ||||
\(520\) | −188.362 | − | 95.9333i | −0.362235 | − | 0.184487i | ||||
\(521\) | −209.310 | + | 505.318i | −0.401746 | + | 0.969901i | 0.585496 | + | 0.810675i | \(0.300900\pi\) |
−0.987242 | + | 0.159226i | \(0.949100\pi\) | |||||||
\(522\) | 7.94081 | + | 201.803i | 0.0152123 | + | 0.386596i | ||||
\(523\) | −315.501 | + | 472.180i | −0.603252 | + | 0.902830i | −0.999885 | − | 0.0151472i | \(-0.995178\pi\) |
0.396634 | + | 0.917977i | \(0.370178\pi\) | |||||||
\(524\) | −537.028 | + | 151.526i | −1.02486 | + | 0.289172i | ||||
\(525\) | 30.4711 | − | 153.189i | 0.0580402 | − | 0.291788i | ||||
\(526\) | 606.487 | − | 145.643i | 1.15302 | − | 0.276887i | ||||
\(527\) | 33.1756 | + | 33.1756i | 0.0629518 | + | 0.0629518i | ||||
\(528\) | −249.454 | + | 343.515i | −0.472451 | + | 0.650596i | ||||
\(529\) | −551.486 | − | 551.486i | −1.04251 | − | 1.04251i | ||||
\(530\) | −77.4158 | + | 126.348i | −0.146068 | + | 0.238392i | ||||
\(531\) | 24.8956 | − | 125.159i | 0.0468844 | − | 0.235704i | ||||
\(532\) | −49.3943 | + | 417.753i | −0.0928465 | + | 0.785251i | ||||
\(533\) | 566.669 | − | 848.080i | 1.06317 | − | 1.59115i | ||||
\(534\) | −294.315 | + | 318.426i | −0.551151 | + | 0.596303i | ||||
\(535\) | 25.8799 | − | 62.4797i | 0.0483737 | − | 0.116784i | ||||
\(536\) | −127.489 | + | 15.1122i | −0.237852 | + | 0.0281944i | ||||
\(537\) | −550.821 | + | 228.157i | −1.02574 | + | 0.424874i | ||||
\(538\) | −293.633 | + | 796.071i | −0.545786 | + | 1.47969i | ||||
\(539\) | 100.307 | + | 504.277i | 0.186098 | + | 0.935579i | ||||
\(540\) | 29.6557 | − | 2.33748i | 0.0549179 | − | 0.00432867i | ||||
\(541\) | −799.855 | + | 534.446i | −1.47848 | + | 0.987886i | −0.484918 | + | 0.874560i | \(0.661151\pi\) |
−0.993558 | + | 0.113326i | \(0.963849\pi\) | |||||||
\(542\) | −569.530 | − | 783.793i | −1.05079 | − | 1.44611i | ||||
\(543\) | −460.720 | −0.848471 | ||||||||
\(544\) | −0.0243454 | − | 82.3833i | −4.47526e−5 | − | 0.151440i | ||||
\(545\) | − | 255.208i | − | 0.468272i | ||||||
\(546\) | −147.706 | − | 203.274i | −0.270523 | − | 0.372297i | ||||
\(547\) | −32.0700 | − | 47.9961i | −0.0586289 | − | 0.0877443i | 0.800997 | − | 0.598668i | \(-0.204303\pi\) |
−0.859626 | + | 0.510924i | \(0.829303\pi\) | |||||||
\(548\) | −309.198 | + | 362.111i | −0.564230 | + | 0.660787i | ||||
\(549\) | −21.9018 | + | 4.35655i | −0.0398941 | + | 0.00793542i | ||||
\(550\) | −243.348 | + | 659.745i | −0.442452 | + | 1.19954i | ||||
\(551\) | −344.784 | − | 832.382i | −0.625742 | − | 1.51068i | ||||
\(552\) | 135.990 | − | 482.513i | 0.246360 | − | 0.874118i | ||||
\(553\) | 241.684 | + | 100.109i | 0.437042 | + | 0.181029i | ||||
\(554\) | 238.276 | − | 257.797i | 0.430102 | − | 0.465337i | ||||
\(555\) | 132.732 | + | 88.6886i | 0.239157 | + | 0.159799i | ||||
\(556\) | 402.368 | − | 317.279i | 0.723684 | − | 0.570645i | ||||
\(557\) | 716.045 | + | 142.430i | 1.28554 | + | 0.255710i | 0.790124 | − | 0.612947i | \(-0.210016\pi\) |
0.495415 | + | 0.868656i | \(0.335016\pi\) | |||||||
\(558\) | −57.1267 | + | 93.2347i | −0.102378 | + | 0.167087i | ||||
\(559\) | 418.633 | − | 418.633i | 0.748897 | − | 0.748897i | ||||
\(560\) | −3.51106 | + | 89.9041i | −0.00626974 | + | 0.160543i | ||||
\(561\) | −48.3023 | + | 48.3023i | −0.0861003 | + | 0.0861003i | ||||
\(562\) | 528.124 | − | 126.824i | 0.939723 | − | 0.225666i | ||||
\(563\) | 800.051 | + | 159.140i | 1.42105 | + | 0.282665i | 0.845007 | − | 0.534755i | \(-0.179596\pi\) |
0.576043 | + | 0.817419i | \(0.304596\pi\) | |||||||
\(564\) | 151.294 | − | 270.230i | 0.268252 | − | 0.479131i | ||||
\(565\) | −68.0962 | − | 45.5004i | −0.120524 | − | 0.0805318i | ||||
\(566\) | −3.61683 | − | 91.9159i | −0.00639015 | − | 0.162396i | ||||
\(567\) | 32.6691 | + | 13.5320i | 0.0576175 | + | 0.0238660i | ||||
\(568\) | 301.580 | + | 23.6810i | 0.530950 | + | 0.0416920i | ||||
\(569\) | 305.761 | + | 738.171i | 0.537365 | + | 1.29731i | 0.926556 | + | 0.376156i | \(0.122754\pi\) |
−0.389191 | + | 0.921157i | \(0.627246\pi\) | |||||||
\(570\) | −120.515 | + | 55.5666i | −0.211429 | + | 0.0974853i | ||||
\(571\) | −854.505 | + | 169.972i | −1.49651 | + | 0.297674i | −0.874379 | − | 0.485243i | \(-0.838731\pi\) |
−0.622127 | + | 0.782916i | \(0.713731\pi\) | |||||||
\(572\) | 513.704 | + | 1007.91i | 0.898084 | + | 1.76207i | ||||
\(573\) | −292.072 | − | 437.116i | −0.509724 | − | 0.762856i | ||||
\(574\) | −428.797 | − | 67.8887i | −0.747032 | − | 0.118273i | ||||
\(575\) | − | 830.364i | − | 1.44411i | ||||||
\(576\) | 186.679 | − | 44.8877i | 0.324096 | − | 0.0779301i | ||||
\(577\) | 285.125 | 0.494151 | 0.247075 | − | 0.968996i | \(-0.420530\pi\) | ||||
0.247075 | + | 0.968996i | \(0.420530\pi\) | |||||||
\(578\) | −88.3125 | + | 557.796i | −0.152790 | + | 0.965046i | ||||
\(579\) | −278.007 | + | 185.759i | −0.480151 | + | 0.320827i | ||||
\(580\) | −87.5046 | − | 171.687i | −0.150870 | − | 0.296013i | ||||
\(581\) | 62.8873 | + | 316.156i | 0.108240 | + | 0.544158i | ||||
\(582\) | −162.464 | − | 352.356i | −0.279147 | − | 0.605423i | ||||
\(583\) | 732.645 | − | 303.471i | 1.25668 | − | 0.520534i | ||||
\(584\) | 166.085 | − | 141.901i | 0.284391 | − | 0.242980i | ||||
\(585\) | 30.3351 | − | 73.2353i | 0.0518548 | − | 0.125189i | ||||
\(586\) | 185.264 | − | 7.28999i | 0.316149 | − | 0.0124403i | ||||
\(587\) | −155.588 | + | 232.854i | −0.265057 | + | 0.396685i | −0.939995 | − | 0.341189i | \(-0.889170\pi\) |
0.674938 | + | 0.737874i | \(0.264170\pi\) | |||||||
\(588\) | 113.596 | − | 202.897i | 0.193191 | − | 0.345063i | ||||
\(589\) | 95.1646 | − | 478.425i | 0.161570 | − | 0.812266i | ||||
\(590\) | 28.4315 | + | 118.395i | 0.0481889 | + | 0.200669i | ||||
\(591\) | 12.0349 | + | 12.0349i | 0.0203637 | + | 0.0203637i | ||||
\(592\) | 935.791 | + | 431.137i | 1.58073 | + | 0.728272i | ||||
\(593\) | 421.594 | + | 421.594i | 0.710950 | + | 0.710950i | 0.966734 | − | 0.255784i | \(-0.0823335\pi\) |
−0.255784 | + | 0.966734i | \(0.582333\pi\) | |||||||
\(594\) | −135.746 | − | 83.1740i | −0.228528 | − | 0.140024i | ||||
\(595\) | −2.82433 | + | 14.1989i | −0.00474677 | + | 0.0238636i | ||||
\(596\) | 53.5670 | − | 42.2391i | 0.0898774 | − | 0.0708709i | ||||
\(597\) | 16.2027 | − | 24.2491i | 0.0271402 | − | 0.0406182i | ||||
\(598\) | −981.002 | − | 906.721i | −1.64047 | − | 1.51626i | ||||
\(599\) | −221.497 | + | 534.741i | −0.369778 | + | 0.892723i | 0.624009 | + | 0.781418i | \(0.285503\pi\) |
−0.993786 | + | 0.111305i | \(0.964497\pi\) | |||||||
\(600\) | 277.449 | − | 155.444i | 0.462415 | − | 0.259073i | ||||
\(601\) | 870.115 | − | 360.413i | 1.44778 | − | 0.599689i | 0.486108 | − | 0.873899i | \(-0.338416\pi\) |
0.961670 | + | 0.274209i | \(0.0884162\pi\) | |||||||
\(602\) | −236.421 | − | 87.2045i | −0.392726 | − | 0.144858i | ||||
\(603\) | −9.39221 | − | 47.2179i | −0.0155758 | − | 0.0783049i | ||||
\(604\) | 526.597 | − | 616.714i | 0.871850 | − | 1.02105i | ||||
\(605\) | −135.276 | + | 90.3883i | −0.223596 | + | 0.149402i | ||||
\(606\) | −158.795 | + | 115.386i | −0.262038 | + | 0.190405i | ||||
\(607\) | 199.830 | 0.329209 | 0.164604 | − | 0.986360i | \(-0.447365\pi\) | ||||
0.164604 | + | 0.986360i | \(0.447365\pi\) | |||||||
\(608\) | −712.042 | + | 476.076i | −1.17112 | + | 0.783020i | ||||
\(609\) | − | 229.062i | − | 0.376128i | ||||||
\(610\) | 17.2371 | − | 12.5251i | 0.0282576 | − | 0.0205329i | ||||
\(611\) | −458.493 | − | 686.183i | −0.750397 | − | 1.12305i | ||||
\(612\) | 30.7982 | − | 2.42753i | 0.0503239 | − | 0.00396656i | ||||
\(613\) | 370.358 | − | 73.6689i | 0.604173 | − | 0.120178i | 0.116481 | − | 0.993193i | \(-0.462839\pi\) |
0.487693 | + | 0.873015i | \(0.337839\pi\) | |||||||
\(614\) | 867.001 | + | 319.795i | 1.41205 | + | 0.520839i | ||||
\(615\) | −52.4118 | − | 126.533i | −0.0852224 | − | 0.205745i | ||||
\(616\) | 298.031 | − | 378.188i | 0.483816 | − | 0.613942i | ||||
\(617\) | −155.958 | − | 64.5999i | −0.252768 | − | 0.104700i | 0.252702 | − | 0.967544i | \(-0.418681\pi\) |
−0.505470 | + | 0.862844i | \(0.668681\pi\) | |||||||
\(618\) | 16.2111 | + | 14.9836i | 0.0262316 | + | 0.0242453i | ||||
\(619\) | 55.8750 | + | 37.3345i | 0.0902665 | + | 0.0603141i | 0.599884 | − | 0.800087i | \(-0.295213\pi\) |
−0.509618 | + | 0.860401i | \(0.670213\pi\) | |||||||
\(620\) | 12.2506 | − | 103.610i | 0.0197591 | − | 0.167113i | ||||
\(621\) | 184.379 | + | 36.6753i | 0.296907 | + | 0.0590585i | ||||
\(622\) | −35.5924 | − | 21.8082i | −0.0572225 | − | 0.0350613i | ||||
\(623\) | 347.754 | − | 347.754i | 0.558192 | − | 0.558192i | ||||
\(624\) | 119.319 | − | 497.519i | 0.191217 | − | 0.797306i | ||||
\(625\) | 336.274 | − | 336.274i | 0.538039 | − | 0.538039i | ||||
\(626\) | −193.616 | − | 806.257i | −0.309290 | − | 1.28795i | ||||
\(627\) | 696.566 | + | 138.556i | 1.11095 | + | 0.220982i | ||||
\(628\) | −477.228 | + | 134.653i | −0.759917 | + | 0.214416i | ||||
\(629\) | 137.845 | + | 92.1054i | 0.219150 | + | 0.146431i | ||||
\(630\) | −33.7137 | + | 1.32661i | −0.0535138 | + | 0.00210573i | ||||
\(631\) | 257.598 | + | 106.701i | 0.408238 | + | 0.169098i | 0.577346 | − | 0.816500i | \(-0.304089\pi\) |
−0.169108 | + | 0.985598i | \(0.554089\pi\) | |||||||
\(632\) | 164.688 | + | 506.552i | 0.260583 | + | 0.801507i | ||||
\(633\) | −162.535 | − | 392.394i | −0.256769 | − | 0.619896i | ||||
\(634\) | 226.677 | + | 491.624i | 0.357535 | + | 0.775432i | ||||
\(635\) | 173.327 | − | 34.4768i | 0.272955 | − | 0.0542942i | ||||
\(636\) | −341.106 | − | 110.787i | −0.536330 | − | 0.174194i | ||||
\(637\) | −344.250 | − | 515.207i | −0.540424 | − | 0.808802i | ||||
\(638\) | −161.267 | + | 1018.59i | −0.252770 | + | 1.59653i | ||||
\(639\) | 113.440i | 0.177528i | ||||||||
\(640\) | −143.822 | + | 113.476i | −0.224721 | + | 0.177307i | ||||
\(641\) | 915.691 | 1.42854 | 0.714268 | − | 0.699873i | \(-0.246760\pi\) | ||||
0.714268 | + | 0.699873i | \(0.246760\pi\) | |||||||
\(642\) | 161.669 | + | 25.5961i | 0.251821 | + | 0.0398693i | ||||
\(643\) | 650.682 | − | 434.772i | 1.01195 | − | 0.676162i | 0.0651114 | − | 0.997878i | \(-0.479260\pi\) |
0.946836 | + | 0.321716i | \(0.104260\pi\) | |||||||
\(644\) | −175.639 | + | 540.778i | −0.272731 | + | 0.839717i | ||||
\(645\) | −15.5090 | − | 77.9689i | −0.0240449 | − | 0.120882i | ||||
\(646\) | −125.157 | + | 57.7073i | −0.193742 | + | 0.0893303i | ||||
\(647\) | −833.487 | + | 345.242i | −1.28823 | + | 0.533604i | −0.918458 | − | 0.395518i | \(-0.870565\pi\) |
−0.369775 | + | 0.929121i | \(0.620565\pi\) | |||||||
\(648\) | 22.2614 | + | 68.4721i | 0.0343540 | + | 0.105667i | ||||
\(649\) | 249.367 | − | 602.024i | 0.384232 | − | 0.927619i | ||||
\(650\) | −33.3209 | − | 846.797i | −0.0512629 | − | 1.30276i | ||||
\(651\) | 68.9007 | − | 103.117i | 0.105838 | − | 0.158398i | ||||
\(652\) | −314.451 | − | 1114.46i | −0.482287 | − | 1.70929i | ||||
\(653\) | −96.1962 | + | 483.611i | −0.147314 | + | 0.740599i | 0.834538 | + | 0.550951i | \(0.185735\pi\) |
−0.981852 | + | 0.189648i | \(0.939265\pi\) | |||||||
\(654\) | 600.619 | − | 144.233i | 0.918378 | − | 0.220540i | ||||
\(655\) | 141.178 | + | 141.178i | 0.215539 | + | 0.215539i | ||||
\(656\) | −462.051 | − | 753.599i | −0.704347 | − | 1.14878i | ||||
\(657\) | 57.9250 | + | 57.9250i | 0.0881659 | + | 0.0881659i | ||||
\(658\) | −183.516 | + | 299.510i | −0.278899 | + | 0.455183i | ||||
\(659\) | −75.5305 | + | 379.717i | −0.114614 | + | 0.576202i | 0.880210 | + | 0.474585i | \(0.157402\pi\) |
−0.994824 | + | 0.101617i | \(0.967598\pi\) | |||||||
\(660\) | 150.852 | + | 17.8364i | 0.228563 | + | 0.0270248i | ||||
\(661\) | −21.7301 | + | 32.5213i | −0.0328745 | + | 0.0492002i | −0.847543 | − | 0.530727i | \(-0.821919\pi\) |
0.814668 | + | 0.579927i | \(0.196919\pi\) | |||||||
\(662\) | 826.359 | − | 894.056i | 1.24828 | − | 1.35054i | ||||
\(663\) | 31.5037 | − | 76.0568i | 0.0475170 | − | 0.114716i | ||||
\(664\) | −406.253 | + | 515.517i | −0.611826 | + | 0.776381i | ||||
\(665\) | 139.060 | − | 57.6004i | 0.209112 | − | 0.0866172i | ||||
\(666\) | −133.709 | + | 362.501i | −0.200765 | + | 0.544296i | ||||
\(667\) | −237.577 | − | 1194.38i | −0.356187 | − | 1.79068i | ||||
\(668\) | 2.73972 | + | 34.7589i | 0.00410138 | + | 0.0520343i | ||||
\(669\) | 201.238 | − | 134.463i | 0.300804 | − | 0.200991i | ||||
\(670\) | 27.0026 | + | 37.1613i | 0.0403024 | + | 0.0554647i | ||||
\(671\) | −114.030 | −0.169940 | ||||||||
\(672\) | −213.569 | + | 42.5472i | −0.317811 | + | 0.0633142i | ||||
\(673\) | − | 802.663i | − | 1.19266i | −0.802738 | − | 0.596332i | \(-0.796624\pi\) | ||
0.802738 | − | 0.596332i | \(-0.203376\pi\) | |||||||
\(674\) | 335.918 | + | 462.294i | 0.498395 | + | 0.685897i | ||||
\(675\) | 66.2572 | + | 99.1609i | 0.0981588 | + | 0.146905i | ||||
\(676\) | −522.714 | − | 446.333i | −0.773246 | − | 0.660256i | ||||
\(677\) | −568.216 | + | 113.025i | −0.839315 | + | 0.166950i | −0.595987 | − | 0.802994i | \(-0.703239\pi\) |
−0.243328 | + | 0.969944i | \(0.578239\pi\) | |||||||
\(678\) | 68.5977 | − | 185.976i | 0.101177 | − | 0.274301i | ||||
\(679\) | 168.410 | + | 406.578i | 0.248027 | + | 0.598790i | ||||
\(680\) | −25.7164 | + | 14.4079i | −0.0378183 | + | 0.0211880i | ||||
\(681\) | 156.528 | + | 64.8359i | 0.229850 | + | 0.0952069i | ||||
\(682\) | −378.985 | + | 410.032i | −0.555696 | + | 0.601220i | ||||
\(683\) | −148.487 | − | 99.2157i | −0.217404 | − | 0.145265i | 0.442100 | − | 0.896966i | \(-0.354234\pi\) |
−0.659504 | + | 0.751701i | \(0.729234\pi\) | |||||||
\(684\) | −198.883 | − | 252.221i | −0.290765 | − | 0.368744i | ||||
\(685\) | 167.100 | + | 33.2384i | 0.243942 | + | 0.0485231i | ||||
\(686\) | −338.953 | + | 553.194i | −0.494100 | + | 0.806405i | ||||
\(687\) | −32.4933 | + | 32.4933i | −0.0472973 | + | 0.0472973i | ||||
\(688\) | −177.704 | − | 481.337i | −0.258291 | − | 0.699618i | ||||
\(689\) | −675.777 | + | 675.777i | −0.980808 | + | 0.980808i | ||||
\(690\) | −174.415 | + | 41.8842i | −0.252775 | + | 0.0607017i | ||||
\(691\) | 498.935 | + | 99.2443i | 0.722047 | + | 0.143624i | 0.542416 | − | 0.840110i | \(-0.317510\pi\) |
0.179631 | + | 0.983734i | \(0.442510\pi\) | |||||||
\(692\) | −377.155 | − | 211.158i | −0.545022 | − | 0.305142i | ||||
\(693\) | 150.134 | + | 100.317i | 0.216644 | + | 0.144757i | ||||
\(694\) | −13.5462 | − | 344.256i | −0.0195191 | − | 0.496047i | ||||
\(695\) | −169.389 | − | 70.1633i | −0.243725 | − | 0.100954i | ||||
\(696\) | 354.603 | − | 302.969i | 0.509487 | − | 0.435300i | ||||
\(697\) | −54.4310 | − | 131.408i | −0.0780933 | − | 0.188534i | ||||
\(698\) | −380.425 | + | 175.405i | −0.545021 | + | 0.251297i | ||||
\(699\) | 363.970 | − | 72.3982i | 0.520702 | − | 0.103574i | ||||
\(700\) | −321.371 | + | 163.795i | −0.459101 | + | 0.233992i | ||||
\(701\) | 574.815 | + | 860.271i | 0.819993 | + | 1.22721i | 0.971096 | + | 0.238688i | \(0.0767173\pi\) |
−0.151103 | + | 0.988518i | \(0.548283\pi\) | |||||||
\(702\) | 189.500 | + | 30.0023i | 0.269943 | + | 0.0427384i | ||||
\(703\) | − | 1723.66i | − | 2.45187i | ||||||
\(704\) | 979.652 | − | 38.8386i | 1.39155 | − | 0.0551684i | ||||
\(705\) | −110.813 | −0.157182 | ||||||||
\(706\) | −141.862 | + | 896.025i | −0.200938 | + | 1.26916i | ||||
\(707\) | 185.111 | − | 123.687i | 0.261826 | − | 0.174947i | ||||
\(708\) | −262.568 | + | 133.824i | −0.370858 | + | 0.189017i | ||||
\(709\) | −226.478 | − | 1138.58i | −0.319433 | − | 1.60590i | −0.722934 | − | 0.690917i | \(-0.757207\pi\) |
0.403502 | − | 0.914979i | \(-0.367793\pi\) | |||||||
\(710\) | −45.3216 | − | 98.2948i | −0.0638332 | − | 0.138443i | ||||
\(711\) | −184.540 | + | 76.4388i | −0.259549 | + | 0.107509i | ||||
\(712\) | 998.303 | + | 78.3900i | 1.40211 | + | 0.110098i | ||||
\(713\) | 252.314 | − | 609.139i | 0.353876 | − | 0.854332i | ||||
\(714\) | −35.0125 | + | 1.37772i | −0.0490371 | + | 0.00192958i | ||||
\(715\) | 224.883 | − | 336.560i | 0.314521 | − | 0.470714i | ||||
\(716\) | 1201.40 | + | 672.628i | 1.67793 | + | 0.939425i | ||||
\(717\) | −21.9223 | + | 110.211i | −0.0305750 | + | 0.153711i | ||||
\(718\) | 68.7588 | + | 286.326i | 0.0957643 | + | 0.398783i | ||||
\(719\) | 804.012 | + | 804.012i | 1.11824 | + | 1.11824i | 0.992000 | + | 0.126236i | \(0.0402895\pi\) |
0.126236 | + | 0.992000i | \(0.459710\pi\) | |||||||
\(720\) | −46.6451 | − | 50.4364i | −0.0647848 | − | 0.0700506i | ||||
\(721\) | −17.7042 | − | 17.7042i | −0.0245550 | − | 0.0245550i | ||||
\(722\) | 606.177 | + | 371.416i | 0.839580 | + | 0.514427i | ||||
\(723\) | −95.7211 | + | 481.222i | −0.132394 | + | 0.665591i | ||||
\(724\) | 658.807 | + | 835.489i | 0.909954 | + | 1.15399i | ||||
\(725\) | 429.204 | − | 642.349i | 0.592005 | − | 0.885999i | ||||
\(726\) | −289.177 | − | 267.281i | −0.398315 | − | 0.368155i | ||||
\(727\) | 34.7530 | − | 83.9011i | 0.0478033 | − | 0.115407i | −0.898174 | − | 0.439640i | \(-0.855106\pi\) |
0.945977 | + | 0.324233i | \(0.105106\pi\) | |||||||
\(728\) | −157.414 | + | 558.528i | −0.216228 | + | 0.767208i | ||||
\(729\) | −24.9447 | + | 10.3325i | −0.0342178 | + | 0.0141735i | ||||
\(730\) | −73.3333 | − | 27.0492i | −0.100457 | − | 0.0370537i | ||||
\(731\) | −16.1065 | − | 80.9727i | −0.0220335 | − | 0.110770i | ||||
\(732\) | 39.2189 | + | 33.4881i | 0.0535777 | + | 0.0457487i | ||||
\(733\) | −22.8851 | + | 15.2913i | −0.0312211 | + | 0.0208613i | −0.571083 | − | 0.820892i | \(-0.693477\pi\) |
0.539862 | + | 0.841754i | \(0.318477\pi\) | |||||||
\(734\) | 434.425 | − | 315.668i | 0.591860 | − | 0.430065i | ||||
\(735\) | −83.2021 | −0.113200 | ||||||||
\(736\) | −1069.47 | + | 443.359i | −1.45308 | + | 0.602390i | ||||
\(737\) | − | 245.835i | − | 0.333562i | ||||||
\(738\) | 268.169 | − | 194.860i | 0.363372 | − | 0.264038i | ||||
\(739\) | −155.488 | − | 232.705i | −0.210404 | − | 0.314892i | 0.711225 | − | 0.702965i | \(-0.248141\pi\) |
−0.921629 | + | 0.388073i | \(0.873141\pi\) | |||||||
\(740\) | −28.9683 | − | 367.522i | −0.0391464 | − | 0.496651i | ||||
\(741\) | −839.465 | + | 166.980i | −1.13288 | + | 0.225344i | ||||
\(742\) | 381.642 | + | 140.769i | 0.514342 | + | 0.189716i | ||||
\(743\) | −18.6663 | − | 45.0644i | −0.0251228 | − | 0.0606519i | 0.910820 | − | 0.412803i | \(-0.135450\pi\) |
−0.935943 | + | 0.352151i | \(0.885450\pi\) | |||||||
\(744\) | 250.764 | − | 29.7250i | 0.337049 | − | 0.0399529i | ||||
\(745\) | −22.5506 | − | 9.34078i | −0.0302693 | − | 0.0125380i | ||||
\(746\) | −791.881 | − | 731.920i | −1.06150 | − | 0.981126i | ||||
\(747\) | −204.652 | − | 136.744i | −0.273965 | − | 0.183057i | ||||
\(748\) | 156.663 | + | 18.5235i | 0.209443 | + | 0.0247641i | ||||
\(749\) | −182.081 | − | 36.2183i | −0.243099 | − | 0.0483555i | ||||
\(750\) | −202.715 | − | 124.207i | −0.270287 | − | 0.165610i | ||||
\(751\) | −205.255 | + | 205.255i | −0.273309 | + | 0.273309i | −0.830431 | − | 0.557122i | \(-0.811906\pi\) |
0.557122 | + | 0.830431i | \(0.311906\pi\) | |||||||
\(752\) | −706.389 | + | 112.052i | −0.939348 | + | 0.149006i | ||||
\(753\) | −487.955 | + | 487.955i | −0.648015 | + | 0.648015i | ||||
\(754\) | −290.207 | − | 1208.48i | −0.384889 | − | 1.60276i | ||||
\(755\) | −284.590 | − | 56.6084i | −0.376940 | − | 0.0749780i | ||||
\(756\) | −22.1757 | − | 78.5937i | −0.0293330 | − | 0.103960i | ||||
\(757\) | −474.850 | − | 317.285i | −0.627279 | − | 0.419134i | 0.200889 | − | 0.979614i | \(-0.435617\pi\) |
−0.828168 | + | 0.560480i | \(0.810617\pi\) | |||||||
\(758\) | −1026.05 | + | 40.3744i | −1.35363 | + | 0.0532644i | ||||
\(759\) | 886.881 | + | 367.358i | 1.16849 | + | 0.484003i | ||||
\(760\) | 273.097 | + | 139.089i | 0.359338 | + | 0.183011i | ||||
\(761\) | −188.555 | − | 455.212i | −0.247772 | − | 0.598176i | 0.750242 | − | 0.661163i | \(-0.229937\pi\) |
−0.998014 | + | 0.0629879i | \(0.979937\pi\) | |||||||
\(762\) | 179.097 | + | 388.431i | 0.235035 | + | 0.509751i | ||||
\(763\) | −687.127 | + | 136.678i | −0.900559 | + | 0.179132i | ||||
\(764\) | −375.037 | + | 1154.71i | −0.490887 | + | 1.51140i | ||||
\(765\) | −6.14130 | − | 9.19110i | −0.00802784 | − | 0.0120145i | ||||
\(766\) | −65.5578 | + | 414.074i | −0.0855846 | + | 0.540567i | ||||
\(767\) | 785.306i | 1.02387i | ||||||||
\(768\) | −348.343 | − | 274.345i | −0.453572 | − | 0.357220i | ||||
\(769\) | −274.787 | −0.357330 | −0.178665 | − | 0.983910i | \(-0.557178\pi\) | ||||
−0.178665 | + | 0.983910i | \(0.557178\pi\) | |||||||
\(770\) | −170.168 | − | 26.9416i | −0.220997 | − | 0.0349891i | ||||
\(771\) | −287.156 | + | 191.871i | −0.372446 | + | 0.248860i | ||||
\(772\) | 734.400 | + | 238.525i | 0.951295 | + | 0.308970i | ||||
\(773\) | 20.9343 | + | 105.244i | 0.0270820 | + | 0.136150i | 0.991961 | − | 0.126545i | \(-0.0403887\pi\) |
−0.964879 | + | 0.262695i | \(0.915389\pi\) | |||||||
\(774\) | 174.731 | − | 80.5645i | 0.225750 | − | 0.104089i | ||||
\(775\) | 386.431 | − | 160.065i | 0.498621 | − | 0.206536i | ||||
\(776\) | −406.663 | + | 798.471i | −0.524050 | + | 1.02896i | ||||
\(777\) | 167.702 | − | 404.867i | 0.215832 | − | 0.521065i | ||||
\(778\) | 5.76800 | + | 146.585i | 0.00741388 | + | 0.188412i | ||||
\(779\) | −821.584 | + | 1229.59i | −1.05466 | + | 1.57842i | ||||
\(780\) | −176.186 | + | 49.7120i | −0.225879 | + | 0.0637333i | ||||
\(781\) | −113.010 | + | 568.138i | −0.144699 | + | 0.727449i | ||||
\(782\) | −181.134 | + | 43.4978i | −0.231630 | + | 0.0556238i | ||||
\(783\) | 123.674 | + | 123.674i | 0.157949 | + | 0.157949i | ||||
\(784\) | −530.379 | + | 84.1323i | −0.676503 | + | 0.107312i | ||||
\(785\) | 125.457 | + | 125.457i | 0.159818 | + | 0.159818i | ||||
\(786\) | −252.467 | + | 412.043i | −0.321205 | + | 0.524228i | ||||
\(787\) | −62.0714 | + | 312.054i | −0.0788709 | + | 0.396511i | 0.921103 | + | 0.389318i | \(0.127289\pi\) |
−0.999974 | + | 0.00719246i | \(0.997711\pi\) | |||||||
\(788\) | 4.61531 | − | 39.0341i | 0.00585699 | − | 0.0495356i | ||||
\(789\) | 300.100 | − | 449.131i | 0.380355 | − | 0.569241i | ||||
\(790\) | 129.363 | − | 139.960i | 0.163750 | − | 0.177165i | ||||
\(791\) | −86.0369 | + | 207.712i | −0.108770 | + | 0.262594i | ||||
\(792\) | 43.2783 | + | 365.102i | 0.0546443 | + | 0.460987i | ||||
\(793\) | 126.962 | − | 52.5894i | 0.160103 | − | 0.0663170i | ||||
\(794\) | 250.935 | − | 680.313i | 0.316039 | − | 0.856817i | ||||
\(795\) | 25.0353 | + | 125.861i | 0.0314909 | + | 0.158316i | ||||
\(796\) | −67.1434 | + | 5.29229i | −0.0843511 | + | 0.00664860i | ||||
\(797\) | 827.269 | − | 552.764i | 1.03798 | − | 0.693556i | 0.0849350 | − | 0.996386i | \(-0.472932\pi\) |
0.953044 | + | 0.302831i | \(0.0979317\pi\) | |||||||
\(798\) | 214.151 | + | 294.716i | 0.268359 | + | 0.369319i | ||||
\(799\) | −115.083 | −0.144033 | ||||||||
\(800\) | −678.626 | − | 280.861i | −0.848283 | − | 0.351077i | ||||
\(801\) | 375.516i | 0.468809i | ||||||||
\(802\) | −604.493 | − | 831.911i | −0.753733 | − | 1.03729i | ||||
\(803\) | 232.397 | + | 347.807i | 0.289411 | + | 0.433135i | ||||
\(804\) | −72.1965 | + | 84.5514i | −0.0897966 | + | 0.105163i | ||||
\(805\) | 199.536 | − | 39.6902i | 0.247871 | − | 0.0493045i | ||||
\(806\) | 232.863 | − | 631.318i | 0.288912 | − | 0.783273i | ||||
\(807\) | 281.204 | + | 678.886i | 0.348456 | + | 0.841247i | ||||
\(808\) | 436.314 | + | 122.970i | 0.539993 | + | 0.152190i | ||||
\(809\) | 163.523 | + | 67.7334i | 0.202130 | + | 0.0837248i | 0.481452 | − | 0.876473i | \(-0.340110\pi\) |
−0.279322 | + | 0.960197i | \(0.590110\pi\) | |||||||
\(810\) | 17.4863 | − | 18.9188i | 0.0215880 | − | 0.0233566i | ||||
\(811\) | 1231.39 | + | 822.788i | 1.51836 | + | 1.01453i | 0.985758 | + | 0.168168i | \(0.0537850\pi\) |
0.532600 | + | 0.846367i | \(0.321215\pi\) | |||||||
\(812\) | −415.390 | + | 327.547i | −0.511564 | + | 0.403383i | ||||
\(813\) | −822.938 | − | 163.692i | −1.01222 | − | 0.201344i | ||||
\(814\) | −1030.77 | + | 1682.29i | −1.26631 | + | 2.06670i | ||||
\(815\) | −292.977 | + | 292.977i | −0.359480 | + | 0.359480i | ||||
\(816\) | −48.4421 | − | 52.3795i | −0.0593653 | − | 0.0641906i | ||||
\(817\) | −606.954 | + | 606.954i | −0.742906 | + | 0.742906i | ||||
\(818\) | −105.928 | + | 25.4378i | −0.129497 | + | 0.0310975i | ||||
\(819\) | −213.426 | − | 42.4531i | −0.260594 | − | 0.0518353i | ||||
\(820\) | −154.515 | + | 275.982i | −0.188432 | + | 0.336564i | ||||
\(821\) | 613.303 | + | 409.796i | 0.747020 | + | 0.499143i | 0.869869 | − | 0.493283i | \(-0.164203\pi\) |
−0.122849 | + | 0.992425i | \(0.539203\pi\) | |||||||
\(822\) | 16.2138 | + | 412.048i | 0.0197248 | + | 0.501274i | ||||
\(823\) | 80.9079 | + | 33.5131i | 0.0983085 | + | 0.0407207i | 0.431296 | − | 0.902211i | \(-0.358057\pi\) |
−0.332987 | + | 0.942931i | \(0.608057\pi\) | |||||||
\(824\) | 3.99085 | − | 50.8237i | 0.00484326 | − | 0.0616793i | ||||
\(825\) | 233.048 | + | 562.628i | 0.282482 | + | 0.681973i | ||||
\(826\) | 303.542 | − | 139.956i | 0.367484 | − | 0.169439i | ||||
\(827\) | −368.793 | + | 73.3574i | −0.445940 | + | 0.0887030i | −0.412952 | − | 0.910753i | \(-0.635502\pi\) |
−0.0329880 | + | 0.999456i | \(0.510502\pi\) | |||||||
\(828\) | −197.145 | − | 386.805i | −0.238097 | − | 0.467156i | ||||
\(829\) | −289.897 | − | 433.862i | −0.349695 | − | 0.523356i | 0.614371 | − | 0.789017i | \(-0.289410\pi\) |
−0.964066 | + | 0.265661i | \(0.914410\pi\) | |||||||
\(830\) | 231.960 | + | 36.7247i | 0.279469 | + | 0.0442467i | ||||
\(831\) | − | 304.017i | − | 0.365844i | ||||||
\(832\) | −1072.84 | + | 495.049i | −1.28947 | + | 0.595011i | ||||
\(833\) | −86.4075 | −0.103730 | ||||||||
\(834\) | 69.3937 | − | 438.302i | 0.0832059 | − | 0.525542i | ||||
\(835\) | 10.3731 | − | 6.93108i | 0.0124229 | − | 0.00830070i | ||||
\(836\) | −744.793 | − | 1461.31i | −0.890900 | − | 1.74798i | ||||
\(837\) | 18.4741 | + | 92.8754i | 0.0220718 | + | 0.110962i | ||||
\(838\) | 419.075 | + | 908.903i | 0.500090 | + | 1.08461i | ||||
\(839\) | −1131.70 | + | 468.766i | −1.34887 | + | 0.558720i | −0.935977 | − | 0.352060i | \(-0.885481\pi\) |
−0.412892 | + | 0.910780i | \(0.635481\pi\) | |||||||
\(840\) | 50.6146 | + | 59.2408i | 0.0602555 | + | 0.0705248i | ||||
\(841\) | 111.738 | − | 269.760i | 0.132864 | − | 0.320761i | ||||
\(842\) | 1372.30 | − | 53.9989i | 1.62980 | − | 0.0641317i | ||||
\(843\) | 261.325 | − | 391.100i | 0.309994 | − | 0.463938i | ||||
\(844\) | −479.167 | + | 855.852i | −0.567734 | + | 1.01404i | ||||
\(845\) | −47.9802 | + | 241.213i | −0.0567812 | + | 0.285459i | ||||
\(846\) | −62.6273 | − | 260.794i | −0.0740276 | − | 0.308267i | ||||
\(847\) | 315.811 | + | 315.811i | 0.372858 | + | 0.372858i | ||||
\(848\) | 286.858 | + | 776.996i | 0.338276 | + | 0.916269i | ||||
\(849\) | −56.3303 | − | 56.3303i | −0.0663490 | − | 0.0663490i | ||||
\(850\) | −100.766 | − | 61.7411i | −0.118548 | − | 0.0726366i | ||||
\(851\) | 454.516 | − | 2285.01i | 0.534097 | − | 2.68508i | ||||
\(852\) | 205.718 | − | 162.214i | 0.241453 | − | 0.190392i | ||||
\(853\) | −96.1153 | + | 143.847i | −0.112679 | + | 0.168636i | −0.883523 | − | 0.468388i | \(-0.844835\pi\) |
0.770844 | + | 0.637024i | \(0.219835\pi\) | |||||||
\(854\) | −42.9542 | − | 39.7017i | −0.0502976 | − | 0.0464891i | ||||
\(855\) | −43.9812 | + | 106.180i | −0.0514400 | + | 0.124187i | ||||
\(856\) | −184.762 | − | 329.779i | −0.215843 | − | 0.385255i | ||||
\(857\) | −972.011 | + | 402.620i | −1.13420 | + | 0.469802i | −0.869207 | − | 0.494448i | \(-0.835370\pi\) |
−0.264995 | + | 0.964250i | \(0.585370\pi\) | |||||||
\(858\) | 919.173 | + | 339.039i | 1.07130 | + | 0.395150i | ||||
\(859\) | −28.5241 | − | 143.400i | −0.0332061 | − | 0.166938i | 0.960624 | − | 0.277852i | \(-0.0896224\pi\) |
−0.993830 | + | 0.110913i | \(0.964622\pi\) | |||||||
\(860\) | −119.215 | + | 139.616i | −0.138622 | + | 0.162345i | ||||
\(861\) | −312.611 | + | 208.880i | −0.363079 | + | 0.242602i | ||||
\(862\) | 830.257 | − | 603.292i | 0.963176 | − | 0.699875i | ||||
\(863\) | 458.401 | 0.531171 | 0.265586 | − | 0.964087i | \(-0.414435\pi\) | ||||
0.265586 | + | 0.964087i | \(0.414435\pi\) | |||||||
\(864\) | 92.3376 | − | 138.281i | 0.106872 | − | 0.160048i | ||||
\(865\) | 154.660i | 0.178798i | ||||||||
\(866\) | 611.441 | − | 444.293i | 0.706052 | − | 0.513041i | ||||
\(867\) | 271.720 | + | 406.657i | 0.313402 | + | 0.469040i | ||||
\(868\) | −285.522 | + | 22.5050i | −0.328942 | + | 0.0259274i | ||||
\(869\) | −1000.37 | + | 198.986i | −1.15117 | + | 0.228982i | ||||
\(870\) | −156.572 | − | 57.7521i | −0.179968 | − | 0.0663817i | ||||
\(871\) | 113.377 | + | 273.715i | 0.130168 | + | 0.314254i | ||||
\(872\) | −1120.42 | − | 882.942i | −1.28488 | − | 1.01255i | ||||
\(873\) | −310.446 | − | 128.591i | −0.355608 | − | 0.147298i | ||||
\(874\) | 1422.30 | + | 1314.61i | 1.62735 | + | 1.50413i | ||||
\(875\) | 224.202 | + | 149.807i | 0.256231 | + | 0.171208i | ||||
\(876\) | 22.2138 | − | 187.873i | 0.0253582 | − | 0.214467i | ||||
\(877\) | 172.304 | + | 34.2733i | 0.196469 | + | 0.0390802i | 0.292344 | − | 0.956313i | \(-0.405565\pi\) |
−0.0958747 | + | 0.995393i | \(0.530565\pi\) | |||||||
\(878\) | 695.001 | + | 425.841i | 0.791573 | + | 0.485012i | ||||
\(879\) | 113.538 | − | 113.538i | 0.129167 | − | 0.129167i | ||||
\(880\) | −183.365 | − | 299.066i | −0.208369 | − | 0.339847i | ||||
\(881\) | 21.7769 | − | 21.7769i | 0.0247184 | − | 0.0247184i | −0.694640 | − | 0.719358i | \(-0.744436\pi\) |
0.719358 | + | 0.694640i | \(0.244436\pi\) | |||||||
\(882\) | −47.0225 | − | 195.812i | −0.0533135 | − | 0.222009i | ||||
\(883\) | 809.472 | + | 161.014i | 0.916729 | + | 0.182349i | 0.630839 | − | 0.775914i | \(-0.282711\pi\) |
0.285890 | + | 0.958262i | \(0.407711\pi\) | |||||||
\(884\) | −182.973 | + | 51.6272i | −0.206983 | + | 0.0584018i | ||||
\(885\) | 87.6767 | + | 58.5837i | 0.0990697 | + | 0.0661963i | ||||
\(886\) | 585.451 | − | 23.0371i | 0.660780 | − | 0.0260012i | ||||
\(887\) | −1022.50 | − | 423.534i | −1.15276 | − | 0.477491i | −0.277305 | − | 0.960782i | \(-0.589441\pi\) |
−0.875459 | + | 0.483292i | \(0.839441\pi\) | |||||||
\(888\) | 848.573 | − | 275.884i | 0.955600 | − | 0.310681i | ||||
\(889\) | −185.652 | − | 448.204i | −0.208832 | − | 0.504166i | ||||
\(890\) | −150.025 | − | 325.380i | −0.168568 | − | 0.365595i | ||||
\(891\) | −135.223 | + | 26.8974i | −0.151765 | + | 0.0301879i | ||||
\(892\) | −531.601 | − | 172.658i | −0.595965 | − | 0.193563i | ||||
\(893\) | 664.744 | + | 994.860i | 0.744395 | + | 1.11407i | ||||
\(894\) | 9.23833 | − | 58.3508i | 0.0103337 | − | 0.0652694i | ||||
\(895\) | − | 492.658i | − | 0.550456i | ||||||
\(896\) | 382.550 | + | 326.455i | 0.426953 | + | 0.364347i | ||||
\(897\) | −1156.88 | −1.28973 | ||||||||
\(898\) | −1723.43 | − | 272.860i | −1.91919 | − | 0.303854i | ||||
\(899\) | 510.039 | − | 340.797i | 0.567340 | − | 0.379085i | ||||
\(900\) | 85.0781 | − | 261.949i | 0.0945312 | − | 0.291054i | ||||
\(901\) | 25.9998 | + | 130.710i | 0.0288566 | + | 0.145072i | ||||
\(902\) | 1537.17 | − | 708.757i | 1.70418 | − | 0.785762i | ||||
\(903\) | −201.619 | + | 83.5133i | −0.223277 | + | 0.0924843i | ||||
\(904\) | −435.348 | + | 141.539i | −0.481580 | + | 0.156569i | ||||
\(905\) | 145.689 | − | 351.725i | 0.160982 | − | 0.388646i | ||||
\(906\) | −27.6138 | − | 701.760i | −0.0304788 | − | 0.774570i | ||||
\(907\) | −85.4635 | + | 127.905i | −0.0942266 | + | 0.141020i | −0.875588 | − | 0.483059i | \(-0.839526\pi\) |
0.781361 | + | 0.624079i | \(0.214526\pi\) | |||||||
\(908\) | −106.251 | − | 376.566i | −0.117016 | − | 0.414720i | ||||
\(909\) | −33.1638 | + | 166.726i | −0.0364838 | + | 0.183416i | ||||
\(910\) | 201.892 | − | 48.4826i | 0.221859 | − | 0.0532776i | ||||
\(911\) | −145.638 | − | 145.638i | −0.159866 | − | 0.159866i | 0.622641 | − | 0.782507i | \(-0.286060\pi\) |
−0.782507 | + | 0.622641i | \(0.786060\pi\) | |||||||
\(912\) | −172.995 | + | 721.327i | −0.189687 | + | 0.790928i | ||||
\(913\) | −888.720 | − | 888.720i | −0.973407 | − | 0.973407i | ||||
\(914\) | −375.078 | + | 612.152i | −0.410369 | + | 0.669751i | ||||
\(915\) | 3.59992 | − | 18.0980i | 0.00393434 | − | 0.0197793i | ||||
\(916\) | 105.388 | + | 12.4609i | 0.115053 | + | 0.0136036i | ||||
\(917\) | 304.502 | − | 455.719i | 0.332063 | − | 0.496967i | ||||
\(918\) | 18.1600 | − | 19.6477i | 0.0197821 | − | 0.0214027i | ||||
\(919\) | −145.821 | + | 352.042i | −0.158673 | + | 0.383071i | −0.983144 | − | 0.182834i | \(-0.941473\pi\) |
0.824471 | + | 0.565905i | \(0.191473\pi\) | |||||||
\(920\) | 325.359 | + | 256.399i | 0.353651 | + | 0.278695i | ||||
\(921\) | 739.375 | − | 306.259i | 0.802796 | − | 0.332529i | ||||
\(922\) | 519.510 | − | 1408.45i | 0.563460 | − | 1.52760i | ||||
\(923\) | −136.193 | − | 684.690i | −0.147555 | − | 0.741809i | ||||
\(924\) | −32.7664 | − | 415.708i | −0.0354614 | − | 0.449900i | ||||
\(925\) | 1228.90 | − | 821.123i | 1.32854 | − | 0.887701i | ||||
\(926\) | −566.401 | − | 779.488i | −0.611665 | − | 0.841780i | ||||
\(927\) | 19.1176 | 0.0206230 | ||||||||
\(928\) | −1056.48 | − | 209.823i | −1.13845 | − | 0.226102i | ||||
\(929\) | 1008.01i | 1.08504i | 0.840042 | + | 0.542522i | \(0.182530\pi\) | ||||
−0.840042 | + | 0.542522i | \(0.817470\pi\) | |||||||
\(930\) | −53.1129 | − | 73.0946i | −0.0571107 | − | 0.0785964i | ||||
\(931\) | 499.110 | + | 746.972i | 0.536101 | + | 0.802332i | ||||
\(932\) | −651.750 | − | 556.514i | −0.699302 | − | 0.597118i | ||||
\(933\) | −35.4552 | + | 7.05248i | −0.0380013 | + | 0.00755893i | ||||
\(934\) | 234.951 | − | 636.979i | 0.251554 | − | 0.681991i | ||||
\(935\) | −21.6009 | − | 52.1493i | −0.0231026 | − | 0.0557746i | ||||
\(936\) | −216.568 | − | 386.549i | −0.231376 | − | 0.412980i | ||||
\(937\) | −1152.54 | − | 477.398i | −1.23003 | − | 0.509497i | −0.329447 | − | 0.944174i | \(-0.606862\pi\) |
−0.900586 | + | 0.434677i | \(0.856862\pi\) | |||||||
\(938\) | 85.5924 | − | 92.6043i | 0.0912499 | − | 0.0987253i | ||||
\(939\) | −597.070 | − | 398.949i | −0.635857 | − | 0.424866i | ||||
\(940\) | 158.458 | + | 200.954i | 0.168572 | + | 0.213781i | ||||
\(941\) | 978.934 | + | 194.722i | 1.04031 | + | 0.206931i | 0.685550 | − | 0.728026i | \(-0.259562\pi\) |
0.354762 | + | 0.934957i | \(0.384562\pi\) | |||||||
\(942\) | −224.354 | + | 366.161i | −0.238168 | + | 0.388706i | ||||
\(943\) | −1413.38 | + | 1413.38i | −1.49881 | + | 1.49881i | ||||
\(944\) | 618.141 | + | 284.790i | 0.654811 | + | 0.301684i | ||||
\(945\) | −20.6613 | + | 20.6613i | −0.0218638 | + | 0.0218638i | ||||
\(946\) | 955.353 | − | 229.420i | 1.00989 | − | 0.242516i | ||||
\(947\) | 1430.65 | + | 284.574i | 1.51072 | + | 0.300501i | 0.879799 | − | 0.475346i | \(-0.157677\pi\) |
0.630921 | + | 0.775847i | \(0.282677\pi\) | |||||||
\(948\) | 402.500 | + | 225.348i | 0.424578 | + | 0.237709i | ||||
\(949\) | −419.159 | − | 280.073i | −0.441685 | − | 0.295124i | ||||
\(950\) | 48.3102 | + | 1227.73i | 0.0508528 | + | 1.29234i | ||||
\(951\) | 433.148 | + | 179.416i | 0.455466 | + | 0.188660i | ||||
\(952\) | 52.5646 | + | 61.5231i | 0.0552149 | + | 0.0646251i | ||||
\(953\) | −38.8966 | − | 93.9046i | −0.0408149 | − | 0.0985358i | 0.902158 | − | 0.431407i | \(-0.141983\pi\) |
−0.942972 | + | 0.332871i | \(0.891983\pi\) | |||||||
\(954\) | −282.058 | + | 130.051i | −0.295659 | + | 0.136322i | ||||
\(955\) | 426.064 | − | 84.7495i | 0.446141 | − | 0.0887429i | ||||
\(956\) | 231.208 | − | 117.841i | 0.241850 | − | 0.123265i | ||||
\(957\) | 496.186 | + | 742.595i | 0.518481 | + | 0.775961i | ||||
\(958\) | 185.519 | + | 29.3720i | 0.193652 | + | 0.0306597i | ||||
\(959\) | − | 467.705i | − | 0.487701i | ||||||
\(960\) | −24.7634 | + | 156.710i | −0.0257952 | + | 0.163239i | ||||
\(961\) | −628.884 | −0.654406 | ||||||||
\(962\) | 371.818 | − | 2348.46i | 0.386505 | − | 2.44123i | ||||
\(963\) | 117.864 | − | 78.7540i | 0.122392 | − | 0.0817798i | ||||
\(964\) | 1009.55 | − | 514.539i | 1.04725 | − | 0.533755i | ||||
\(965\) | −53.9009 | − | 270.978i | −0.0558559 | − | 0.280806i | ||||
\(966\) | 206.179 | + | 447.166i | 0.213435 | + | 0.462905i | ||||
\(967\) | −467.525 | + | 193.655i | −0.483480 | + | 0.200264i | −0.611091 | − | 0.791560i | \(-0.709269\pi\) |
0.127611 | + | 0.991824i | \(0.459269\pi\) | |||||||
\(968\) | −71.1895 | + | 906.603i | −0.0735429 | + | 0.936574i | ||||
\(969\) | −45.6756 | + | 110.271i | −0.0471369 | + | 0.113798i | ||||
\(970\) | 320.372 | − | 12.6064i | 0.330280 | − | 0.0129963i | ||||
\(971\) | −615.741 | + | 921.522i | −0.634131 | + | 0.949044i | 0.365701 | + | 0.930732i | \(0.380829\pi\) |
−0.999832 | + | 0.0183120i | \(0.994171\pi\) | |||||||
\(972\) | 54.4071 | + | 30.4610i | 0.0559743 | + | 0.0313385i | ||||
\(973\) | −98.1916 | + | 493.643i | −0.100916 | + | 0.507341i | ||||
\(974\) | −117.956 | − | 491.195i | −0.121105 | − | 0.504307i | ||||
\(975\) | −518.956 | − | 518.956i | −0.532263 | − | 0.532263i | ||||
\(976\) | 4.64764 | − | 119.008i | 0.00476193 | − | 0.121934i | ||||
\(977\) | −12.9443 | − | 12.9443i | −0.0132490 | − | 0.0132490i | 0.700451 | − | 0.713700i | \(-0.252982\pi\) |
−0.713700 | + | 0.700451i | \(0.752982\pi\) | |||||||
\(978\) | −855.084 | − | 523.927i | −0.874319 | − | 0.535712i | ||||
\(979\) | −374.090 | + | 1880.67i | −0.382114 | + | 1.92102i | ||||
\(980\) | 118.975 | + | 150.882i | 0.121403 | + | 0.153961i | ||||
\(981\) | 297.196 | − | 444.786i | 0.302953 | − | 0.453400i | ||||
\(982\) | 1068.86 | + | 987.931i | 1.08846 | + | 1.00604i | ||||
\(983\) | −28.1378 | + | 67.9307i | −0.0286244 | + | 0.0691055i | −0.937545 | − | 0.347863i | \(-0.886907\pi\) |
0.908921 | + | 0.416968i | \(0.136907\pi\) | |||||||
\(984\) | −736.836 | − | 207.668i | −0.748817 | − | 0.211045i | ||||
\(985\) | −12.9935 | + | 5.38207i | −0.0131913 | + | 0.00546403i | ||||
\(986\) | −162.604 | − | 59.9770i | −0.164913 | − | 0.0608286i | ||||
\(987\) | 59.3467 | + | 298.356i | 0.0601284 | + | 0.302286i | ||||
\(988\) | 1503.20 | + | 1283.55i | 1.52146 | + | 1.29914i | ||||
\(989\) | −964.670 | + | 644.572i | −0.975399 | + | 0.651741i | ||||
\(990\) | 106.423 | − | 77.3302i | 0.107498 | − | 0.0781113i | ||||
\(991\) | −102.099 | −0.103027 | −0.0515133 | − | 0.998672i | \(-0.516404\pi\) | ||||
−0.0515133 | + | 0.998672i | \(0.516404\pi\) | |||||||
\(992\) | −412.485 | − | 412.241i | −0.415811 | − | 0.415566i | ||||
\(993\) | − | 1054.35i | − | 1.06178i | ||||||
\(994\) | −240.378 | + | 174.667i | −0.241829 | + | 0.175721i | ||||
\(995\) | 13.3887 | + | 20.0376i | 0.0134560 | + | 0.0201383i | ||||
\(996\) | 44.6646 | + | 566.661i | 0.0448439 | + | 0.568936i | ||||
\(997\) | 1619.76 | − | 322.190i | 1.62463 | − | 0.323160i | 0.702990 | − | 0.711199i | \(-0.251848\pi\) |
0.921643 | + | 0.388040i | \(0.126848\pi\) | |||||||
\(998\) | −196.326 | − | 72.4151i | −0.196719 | − | 0.0725603i | ||||
\(999\) | 128.050 | + | 309.139i | 0.128178 | + | 0.309449i |
(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 | 192.3.t.a.19.2 | ✓ | 256 | |
64.27 | odd | 16 | inner | 192.3.t.a.91.2 | yes | 256 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
192.3.t.a.19.2 | ✓ | 256 | 1.1 | even | 1 | trivial | |
192.3.t.a.91.2 | yes | 256 | 64.27 | odd | 16 | inner |