Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [503,2,Mod(2,503)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(503, base_ring=CyclotomicField(502))
chi = DirichletCharacter(H, H._module([202]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("503.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 503 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 503.c (of order \(251\), degree \(250\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.01647522167\) |
Analytic rank: | \(0\) |
Dimension: | \(10250\) |
Relative dimension: | \(41\) over \(\Q(\zeta_{251})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{251}]$ |
Embedding invariants
Embedding label | 2.16 | ||
Character | \(\chi\) | \(=\) | 503.2 |
Dual form | 503.2.c.a.252.16 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/503\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{101}{251}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.604152 | − | 0.743843i | −0.427200 | − | 0.525976i | 0.516718 | − | 0.856156i | \(-0.327154\pi\) |
−0.943918 | + | 0.330180i | \(0.892891\pi\) | |||||||
\(3\) | −0.138203 | + | 0.119616i | −0.0797917 | + | 0.0690605i | −0.693415 | − | 0.720539i | \(-0.743895\pi\) |
0.613623 | + | 0.789599i | \(0.289711\pi\) | |||||||
\(4\) | 0.221807 | − | 1.05871i | 0.110903 | − | 0.529356i | ||||
\(5\) | 0.634410 | + | 2.00359i | 0.283717 | + | 0.896031i | 0.983380 | + | 0.181558i | \(0.0581141\pi\) |
−0.699663 | + | 0.714473i | \(0.746667\pi\) | |||||||
\(6\) | 0.172471 | + | 0.0305350i | 0.0704112 | + | 0.0124659i | ||||
\(7\) | 0.803660 | − | 2.33347i | 0.303755 | − | 0.881969i | −0.684481 | − | 0.729031i | \(-0.739971\pi\) |
0.988236 | − | 0.152938i | \(-0.0488736\pi\) | |||||||
\(8\) | −2.62536 | + | 1.35221i | −0.928205 | + | 0.478078i | ||||
\(9\) | −0.425531 | + | 2.93591i | −0.141844 | + | 0.978638i | ||||
\(10\) | 1.10707 | − | 1.68237i | 0.350087 | − | 0.532013i | ||||
\(11\) | 2.61674 | − | 0.846611i | 0.788977 | − | 0.255263i | 0.114368 | − | 0.993438i | \(-0.463516\pi\) |
0.674609 | + | 0.738175i | \(0.264312\pi\) | |||||||
\(12\) | 0.0959848 | + | 0.172849i | 0.0277084 | + | 0.0498973i | ||||
\(13\) | 3.61683 | − | 1.22039i | 1.00313 | − | 0.338476i | 0.230321 | − | 0.973115i | \(-0.426023\pi\) |
0.772809 | + | 0.634639i | \(0.218851\pi\) | |||||||
\(14\) | −2.22127 | + | 0.811976i | −0.593659 | + | 0.217010i | ||||
\(15\) | −0.327339 | − | 0.201016i | −0.0845185 | − | 0.0519022i | ||||
\(16\) | 0.610481 | + | 0.267542i | 0.152620 | + | 0.0668855i | ||||
\(17\) | 3.34150 | + | 1.66848i | 0.810432 | + | 0.404665i | 0.803495 | − | 0.595311i | \(-0.202971\pi\) |
0.00693664 | + | 0.999976i | \(0.497792\pi\) | |||||||
\(18\) | 2.44094 | − | 1.45721i | 0.575336 | − | 0.343468i | ||||
\(19\) | −1.21689 | − | 2.73012i | −0.279174 | − | 0.626333i | 0.718423 | − | 0.695606i | \(-0.244864\pi\) |
−0.997598 | + | 0.0692736i | \(0.977932\pi\) | |||||||
\(20\) | 2.26194 | − | 0.227249i | 0.505785 | − | 0.0508144i | ||||
\(21\) | 0.168053 | + | 0.418624i | 0.0366721 | + | 0.0913513i | ||||
\(22\) | −2.21066 | − | 1.43496i | −0.471313 | − | 0.305935i | ||||
\(23\) | 1.13515 | − | 3.92370i | 0.236695 | − | 0.818148i | −0.750804 | − | 0.660525i | \(-0.770334\pi\) |
0.987499 | − | 0.157623i | \(-0.0503832\pi\) | |||||||
\(24\) | 0.201088 | − | 0.500915i | 0.0410468 | − | 0.102249i | ||||
\(25\) | 0.476887 | − | 0.335653i | 0.0953774 | − | 0.0671305i | ||||
\(26\) | −3.09290 | − | 1.95305i | −0.606567 | − | 0.383025i | ||||
\(27\) | −0.588039 | − | 0.918449i | −0.113168 | − | 0.176756i | ||||
\(28\) | −2.29222 | − | 1.36843i | −0.433189 | − | 0.258608i | ||||
\(29\) | −0.936650 | + | 7.84014i | −0.173931 | + | 1.45588i | 0.588337 | + | 0.808616i | \(0.299783\pi\) |
−0.762268 | + | 0.647262i | \(0.775914\pi\) | |||||||
\(30\) | 0.0482380 | + | 0.364933i | 0.00880701 | + | 0.0666274i | ||||
\(31\) | −0.267980 | − | 3.28665i | −0.0481306 | − | 0.590299i | −0.976054 | − | 0.217528i | \(-0.930201\pi\) |
0.927923 | − | 0.372771i | \(-0.121592\pi\) | |||||||
\(32\) | 1.40045 | + | 5.07796i | 0.247567 | + | 0.897665i | ||||
\(33\) | −0.260374 | + | 0.430009i | −0.0453253 | + | 0.0748550i | ||||
\(34\) | −0.777690 | − | 3.49356i | −0.133373 | − | 0.599141i | ||||
\(35\) | 5.18516 | + | 0.129825i | 0.876452 | + | 0.0219445i | ||||
\(36\) | 3.01390 | + | 1.10172i | 0.502317 | + | 0.183620i | ||||
\(37\) | 4.43030 | + | 5.59635i | 0.728336 | + | 0.920035i | 0.999092 | − | 0.0426132i | \(-0.0135683\pi\) |
−0.270755 | + | 0.962648i | \(0.587273\pi\) | |||||||
\(38\) | −1.29559 | + | 2.55459i | −0.210173 | + | 0.414408i | ||||
\(39\) | −0.353880 | + | 0.601294i | −0.0566661 | + | 0.0962841i | ||||
\(40\) | −4.37482 | − | 4.40228i | −0.691720 | − | 0.696062i | ||||
\(41\) | 2.25284 | − | 11.4664i | 0.351834 | − | 1.79074i | −0.225507 | − | 0.974241i | \(-0.572404\pi\) |
0.577342 | − | 0.816503i | \(-0.304090\pi\) | |||||||
\(42\) | 0.209861 | − | 0.377918i | 0.0323823 | − | 0.0583139i | ||||
\(43\) | 2.11050 | − | 11.5010i | 0.321848 | − | 1.75389i | −0.284489 | − | 0.958679i | \(-0.591824\pi\) |
0.606337 | − | 0.795208i | \(-0.292638\pi\) | |||||||
\(44\) | −0.315907 | − | 2.95816i | −0.0476248 | − | 0.445960i | ||||
\(45\) | −6.15232 | + | 1.00998i | −0.917133 | + | 0.150560i | ||||
\(46\) | −3.60442 | + | 1.52614i | −0.531442 | + | 0.225017i | ||||
\(47\) | −1.79475 | + | 0.0674227i | −0.261792 | + | 0.00983462i | −0.168112 | − | 0.985768i | \(-0.553767\pi\) |
−0.0936792 | + | 0.995602i | \(0.529863\pi\) | |||||||
\(48\) | −0.116373 | + | 0.0360482i | −0.0167970 | + | 0.00520311i | ||||
\(49\) | 0.716255 | + | 0.559760i | 0.102322 | + | 0.0799657i | ||||
\(50\) | −0.537785 | − | 0.151944i | −0.0760543 | − | 0.0214881i | ||||
\(51\) | −0.661382 | + | 0.169108i | −0.0926120 | + | 0.0236799i | ||||
\(52\) | −0.489806 | − | 4.09988i | −0.0679239 | − | 0.568551i | ||||
\(53\) | −0.771755 | + | 1.73145i | −0.106009 | + | 0.237832i | −0.958606 | − | 0.284736i | \(-0.908094\pi\) |
0.852597 | + | 0.522569i | \(0.175026\pi\) | |||||||
\(54\) | −0.327916 | + | 0.992292i | −0.0446238 | + | 0.135034i | ||||
\(55\) | 3.35634 | + | 4.70577i | 0.452569 | + | 0.634526i | ||||
\(56\) | 1.04544 | + | 7.21292i | 0.139703 | + | 0.963867i | ||||
\(57\) | 0.494745 | + | 0.231751i | 0.0655306 | + | 0.0306962i | ||||
\(58\) | 6.39771 | − | 4.03992i | 0.840060 | − | 0.530468i | ||||
\(59\) | 0.0214308 | − | 0.0515105i | 0.00279006 | − | 0.00670610i | −0.921879 | − | 0.387479i | \(-0.873346\pi\) |
0.924669 | + | 0.380773i | \(0.124342\pi\) | |||||||
\(60\) | −0.285425 | + | 0.301971i | −0.0368482 | + | 0.0389843i | ||||
\(61\) | −5.67573 | − | 9.37350i | −0.726702 | − | 1.20015i | −0.972965 | − | 0.230951i | \(-0.925816\pi\) |
0.246263 | − | 0.969203i | \(-0.420797\pi\) | |||||||
\(62\) | −2.28285 | + | 2.18497i | −0.289922 | + | 0.277491i | ||||
\(63\) | 6.50889 | + | 3.35244i | 0.820043 | + | 0.422368i | ||||
\(64\) | 3.70519 | − | 5.19487i | 0.463149 | − | 0.649359i | ||||
\(65\) | 4.73971 | + | 6.47241i | 0.587889 | + | 0.802804i | ||||
\(66\) | 0.477165 | − | 0.0661140i | 0.0587349 | − | 0.00813807i | ||||
\(67\) | −8.90348 | + | 5.46756i | −1.08773 | + | 0.667969i | −0.946726 | − | 0.322040i | \(-0.895631\pi\) |
−0.141007 | + | 0.990009i | \(0.545034\pi\) | |||||||
\(68\) | 2.50760 | − | 3.16761i | 0.304091 | − | 0.384129i | ||||
\(69\) | 0.312457 | + | 0.678050i | 0.0376154 | + | 0.0816277i | ||||
\(70\) | −3.03606 | − | 3.93538i | −0.362878 | − | 0.470368i | ||||
\(71\) | −0.281818 | − | 1.78656i | −0.0334456 | − | 0.212026i | 0.965358 | − | 0.260929i | \(-0.0840290\pi\) |
−0.998804 | + | 0.0489033i | \(0.984427\pi\) | |||||||
\(72\) | −2.85279 | − | 8.28324i | −0.336205 | − | 0.976189i | ||||
\(73\) | 5.73951 | + | 5.49343i | 0.671759 | + | 0.642957i | 0.948052 | − | 0.318116i | \(-0.103050\pi\) |
−0.276293 | + | 0.961073i | \(0.589106\pi\) | |||||||
\(74\) | 1.48623 | − | 6.67649i | 0.172771 | − | 0.776127i | ||||
\(75\) | −0.0257579 | + | 0.103432i | −0.00297426 | + | 0.0119433i | ||||
\(76\) | −3.16033 | + | 0.682781i | −0.362515 | + | 0.0783204i | ||||
\(77\) | 0.127427 | − | 6.78648i | 0.0145217 | − | 0.773391i | ||||
\(78\) | 0.661065 | − | 0.100043i | 0.0748509 | − | 0.0113276i | ||||
\(79\) | 0.590952 | + | 10.4810i | 0.0664873 | + | 1.17921i | 0.838972 | + | 0.544175i | \(0.183157\pi\) |
−0.772485 | + | 0.635033i | \(0.780986\pi\) | |||||||
\(80\) | −0.148748 | + | 1.39288i | −0.0166306 | + | 0.155729i | ||||
\(81\) | −8.34241 | − | 2.47019i | −0.926935 | − | 0.274465i | ||||
\(82\) | −9.89022 | + | 5.25167i | −1.09219 | + | 0.579950i | ||||
\(83\) | 5.59766 | + | 10.7030i | 0.614423 | + | 1.17481i | 0.970670 | + | 0.240414i | \(0.0772833\pi\) |
−0.356247 | + | 0.934392i | \(0.615944\pi\) | |||||||
\(84\) | 0.480478 | − | 0.0850658i | 0.0524245 | − | 0.00928144i | ||||
\(85\) | −1.22306 | + | 7.75347i | −0.132659 | + | 0.840982i | ||||
\(86\) | −9.83000 | + | 5.37848i | −1.06000 | + | 0.579977i | ||||
\(87\) | −0.808360 | − | 1.19557i | −0.0866653 | − | 0.128179i | ||||
\(88\) | −5.72510 | + | 5.76104i | −0.610297 | + | 0.614129i | ||||
\(89\) | −0.241778 | − | 0.921526i | −0.0256284 | − | 0.0976815i | 0.953214 | − | 0.302295i | \(-0.0977528\pi\) |
−0.978843 | + | 0.204614i | \(0.934406\pi\) | |||||||
\(90\) | 4.46821 | + | 3.96617i | 0.470990 | + | 0.418071i | ||||
\(91\) | 0.0589561 | − | 9.42056i | 0.00618028 | − | 0.987543i | ||||
\(92\) | −3.90229 | − | 2.07210i | −0.406842 | − | 0.216031i | ||||
\(93\) | 0.430172 | + | 0.422170i | 0.0446067 | + | 0.0437770i | ||||
\(94\) | 1.13446 | + | 1.29428i | 0.117010 | + | 0.133495i | ||||
\(95\) | 4.69802 | − | 4.17016i | 0.482007 | − | 0.427850i | ||||
\(96\) | −0.800954 | − | 0.534274i | −0.0817470 | − | 0.0545291i | ||||
\(97\) | 4.35932 | + | 18.4889i | 0.442622 | + | 1.87726i | 0.478813 | + | 0.877917i | \(0.341067\pi\) |
−0.0361907 | + | 0.999345i | \(0.511522\pi\) | |||||||
\(98\) | −0.0163537 | − | 0.870961i | −0.00165198 | − | 0.0879803i | ||||
\(99\) | 1.37207 | + | 8.04279i | 0.137899 | + | 0.808330i | ||||
\(100\) | −0.249583 | − | 0.579336i | −0.0249583 | − | 0.0579336i | ||||
\(101\) | −1.74991 | + | 0.689801i | −0.174123 | + | 0.0686378i | −0.452180 | − | 0.891927i | \(-0.649353\pi\) |
0.278057 | + | 0.960565i | \(0.410310\pi\) | |||||||
\(102\) | 0.525366 | + | 0.389797i | 0.0520190 | + | 0.0385957i | ||||
\(103\) | −13.1097 | + | 2.66104i | −1.29174 | + | 0.262200i | −0.795483 | − | 0.605976i | \(-0.792783\pi\) |
−0.496257 | + | 0.868175i | \(0.665293\pi\) | |||||||
\(104\) | −7.84527 | + | 8.09468i | −0.769292 | + | 0.793749i | ||||
\(105\) | −0.732136 | + | 0.602287i | −0.0714491 | + | 0.0587772i | ||||
\(106\) | 1.75418 | − | 0.471993i | 0.170381 | − | 0.0458440i | ||||
\(107\) | −10.8242 | − | 0.406628i | −1.04642 | − | 0.0393102i | −0.491224 | − | 0.871033i | \(-0.663450\pi\) |
−0.555191 | + | 0.831723i | \(0.687355\pi\) | |||||||
\(108\) | −1.10280 | + | 0.418846i | −0.106117 | + | 0.0403035i | ||||
\(109\) | −4.00862 | − | 4.24100i | −0.383956 | − | 0.406214i | 0.505800 | − | 0.862651i | \(-0.331197\pi\) |
−0.889756 | + | 0.456436i | \(0.849126\pi\) | |||||||
\(110\) | 1.47261 | − | 5.33959i | 0.140408 | − | 0.509110i | ||||
\(111\) | −1.28170 | − | 0.243499i | −0.121653 | − | 0.0231119i | ||||
\(112\) | 1.11492 | − | 1.20953i | 0.105350 | − | 0.114290i | ||||
\(113\) | 7.17988 | + | 14.6073i | 0.675426 | + | 1.37414i | 0.915075 | + | 0.403283i | \(0.132131\pi\) |
−0.239649 | + | 0.970860i | \(0.577032\pi\) | |||||||
\(114\) | −0.126515 | − | 0.508026i | −0.0118492 | − | 0.0475810i | ||||
\(115\) | 8.58162 | − | 0.214865i | 0.800240 | − | 0.0200363i | ||||
\(116\) | 8.09270 | + | 2.73064i | 0.751389 | + | 0.253533i | ||||
\(117\) | 2.04389 | + | 11.1380i | 0.188958 | + | 1.02971i | ||||
\(118\) | −0.0512632 | + | 0.0151790i | −0.00471916 | + | 0.00139734i | ||||
\(119\) | 6.57877 | − | 6.45640i | 0.603075 | − | 0.591857i | ||||
\(120\) | 1.13120 | + | 0.0851106i | 0.103264 | + | 0.00776950i | ||||
\(121\) | −2.78476 | + | 2.01261i | −0.253160 | + | 0.182965i | ||||
\(122\) | −3.54341 | + | 9.88487i | −0.320805 | + | 0.894934i | ||||
\(123\) | 1.06021 | + | 1.85416i | 0.0955961 | + | 0.167184i | ||||
\(124\) | −3.53905 | − | 0.445286i | −0.317816 | − | 0.0399879i | ||||
\(125\) | 9.33501 | + | 7.10901i | 0.834949 | + | 0.635849i | ||||
\(126\) | −1.43867 | − | 6.86698i | −0.128167 | − | 0.611759i | ||||
\(127\) | 5.86799 | − | 3.30676i | 0.520699 | − | 0.293428i | −0.208156 | − | 0.978096i | \(-0.566746\pi\) |
0.728855 | + | 0.684668i | \(0.240053\pi\) | |||||||
\(128\) | 4.41178 | − | 0.276457i | 0.389950 | − | 0.0244356i | ||||
\(129\) | 1.08403 | + | 1.84193i | 0.0954434 | + | 0.162173i | ||||
\(130\) | 1.95094 | − | 7.43592i | 0.171109 | − | 0.652174i | ||||
\(131\) | −12.6470 | + | 8.43616i | −1.10497 | + | 0.737070i | −0.967358 | − | 0.253415i | \(-0.918446\pi\) |
−0.137616 | + | 0.990486i | \(0.543944\pi\) | |||||||
\(132\) | 0.397504 | + | 0.371040i | 0.0345982 | + | 0.0322949i | ||||
\(133\) | −7.34863 | + | 0.645496i | −0.637207 | + | 0.0559716i | ||||
\(134\) | 9.44606 | + | 3.31954i | 0.816015 | + | 0.286765i | ||||
\(135\) | 1.46713 | − | 1.76086i | 0.126271 | − | 0.151551i | ||||
\(136\) | −11.0288 | + | 0.138047i | −0.945708 | + | 0.0118374i | ||||
\(137\) | −6.10189 | − | 15.7680i | −0.521320 | − | 1.34715i | −0.905677 | − | 0.423969i | \(-0.860637\pi\) |
0.384357 | − | 0.923185i | \(-0.374423\pi\) | |||||||
\(138\) | 0.315591 | − | 0.642064i | 0.0268649 | − | 0.0546562i | ||||
\(139\) | −2.52367 | − | 0.545233i | −0.214055 | − | 0.0462460i | 0.102878 | − | 0.994694i | \(-0.467195\pi\) |
−0.316933 | + | 0.948448i | \(0.602653\pi\) | |||||||
\(140\) | 1.28755 | − | 5.46080i | 0.108818 | − | 0.461522i | ||||
\(141\) | 0.239976 | − | 0.224000i | 0.0202096 | − | 0.0188642i | ||||
\(142\) | −1.15866 | + | 1.28899i | −0.0972327 | + | 0.108169i | ||||
\(143\) | 8.43112 | − | 6.25550i | 0.705046 | − | 0.523111i | ||||
\(144\) | −1.04526 | + | 1.67847i | −0.0871049 | + | 0.139873i | ||||
\(145\) | −16.3026 | + | 3.09720i | −1.35386 | + | 0.257209i | ||||
\(146\) | 0.618708 | − | 7.58816i | 0.0512046 | − | 0.628000i | ||||
\(147\) | −0.165945 | + | 0.00831502i | −0.0136869 | + | 0.000685812i | ||||
\(148\) | 6.90760 | − | 3.44910i | 0.567801 | − | 0.283514i | ||||
\(149\) | 11.6172 | − | 18.1447i | 0.951719 | − | 1.48648i | 0.0798081 | − | 0.996810i | \(-0.474569\pi\) |
0.871911 | − | 0.489665i | \(-0.162881\pi\) | |||||||
\(150\) | 0.0924986 | − | 0.0433287i | 0.00755248 | − | 0.00353777i | ||||
\(151\) | 7.85173 | + | 11.9320i | 0.638965 | + | 0.971008i | 0.999271 | + | 0.0381744i | \(0.0121543\pi\) |
−0.360306 | + | 0.932834i | \(0.617328\pi\) | |||||||
\(152\) | 6.88647 | + | 5.52206i | 0.558567 | + | 0.447898i | ||||
\(153\) | −6.32041 | + | 9.10036i | −0.510975 | + | 0.735720i | ||||
\(154\) | −5.12506 | + | 4.00528i | −0.412989 | + | 0.322755i | ||||
\(155\) | 6.41507 | − | 2.62200i | 0.515271 | − | 0.210604i | ||||
\(156\) | 0.558105 | + | 0.508028i | 0.0446842 | + | 0.0406748i | ||||
\(157\) | −7.12875 | + | 14.9739i | −0.568936 | + | 1.19504i | 0.392433 | + | 0.919781i | \(0.371633\pi\) |
−0.961369 | + | 0.275263i | \(0.911235\pi\) | |||||||
\(158\) | 7.43921 | − | 6.77171i | 0.591832 | − | 0.538729i | ||||
\(159\) | −0.100450 | − | 0.331606i | −0.00796619 | − | 0.0262980i | ||||
\(160\) | −9.28567 | + | 6.02743i | −0.734097 | + | 0.476510i | ||||
\(161\) | −8.24357 | − | 5.80216i | −0.649684 | − | 0.457274i | ||||
\(162\) | 3.20266 | + | 7.69781i | 0.251625 | + | 0.604797i | ||||
\(163\) | −22.6930 | − | 8.61883i | −1.77746 | − | 0.675079i | −0.998869 | − | 0.0475411i | \(-0.984861\pi\) |
−0.778586 | − | 0.627538i | \(-0.784063\pi\) | |||||||
\(164\) | −11.6399 | − | 4.92843i | −0.908922 | − | 0.384845i | ||||
\(165\) | −1.02674 | − | 0.248879i | −0.0799319 | − | 0.0193752i | ||||
\(166\) | 4.57950 | − | 10.6300i | 0.355438 | − | 0.825049i | ||||
\(167\) | −0.538012 | + | 17.1883i | −0.0416326 | + | 1.33007i | 0.725339 | + | 0.688392i | \(0.241683\pi\) |
−0.766972 | + | 0.641681i | \(0.778237\pi\) | |||||||
\(168\) | −1.00727 | − | 0.871798i | −0.0777122 | − | 0.0672607i | ||||
\(169\) | 1.24972 | − | 0.951713i | 0.0961320 | − | 0.0732087i | ||||
\(170\) | 6.50627 | − | 3.77452i | 0.499008 | − | 0.289492i | ||||
\(171\) | 8.53322 | − | 2.41094i | 0.652552 | − | 0.184369i | ||||
\(172\) | −11.7081 | − | 4.78541i | −0.892737 | − | 0.364884i | ||||
\(173\) | 1.13883 | + | 2.39210i | 0.0865837 | + | 0.181868i | 0.941600 | − | 0.336732i | \(-0.109322\pi\) |
−0.855017 | + | 0.518600i | \(0.826453\pi\) | |||||||
\(174\) | −0.400944 | + | 1.32360i | −0.0303955 | + | 0.100342i | ||||
\(175\) | −0.399981 | − | 1.38255i | −0.0302357 | − | 0.104511i | ||||
\(176\) | 1.82397 | + | 0.183248i | 0.137487 | + | 0.0138129i | ||||
\(177\) | 0.00319968 | + | 0.00968240i | 0.000240503 | + | 0.000727774i | ||||
\(178\) | −0.539399 | + | 0.736587i | −0.0404297 | + | 0.0552095i | ||||
\(179\) | −1.83612 | + | 3.40625i | −0.137238 | + | 0.254595i | −0.939622 | − | 0.342213i | \(-0.888824\pi\) |
0.802384 | + | 0.596808i | \(0.203565\pi\) | |||||||
\(180\) | −0.295342 | + | 6.73756i | −0.0220135 | + | 0.502188i | ||||
\(181\) | −1.02416 | − | 14.8539i | −0.0761251 | − | 1.10408i | −0.869037 | − | 0.494748i | \(-0.835260\pi\) |
0.792912 | − | 0.609337i | \(-0.208564\pi\) | |||||||
\(182\) | −7.04303 | + | 5.64760i | −0.522064 | + | 0.418628i | ||||
\(183\) | 1.90563 | + | 0.616540i | 0.140868 | + | 0.0455759i | ||||
\(184\) | 2.32548 | + | 11.8361i | 0.171437 | + | 0.872568i | ||||
\(185\) | −8.40215 | + | 12.4269i | −0.617739 | + | 0.913641i | ||||
\(186\) | 0.0541390 | − | 0.575035i | 0.00396966 | − | 0.0421636i | ||||
\(187\) | 10.1564 | + | 1.53702i | 0.742708 | + | 0.112398i | ||||
\(188\) | −0.326707 | + | 1.91508i | −0.0238276 | + | 0.139672i | ||||
\(189\) | −2.61576 | + | 0.634051i | −0.190268 | + | 0.0461204i | ||||
\(190\) | −5.94027 | − | 0.975174i | −0.430952 | − | 0.0707465i | ||||
\(191\) | 0.320364 | − | 5.68192i | 0.0231807 | − | 0.411129i | −0.965433 | − | 0.260652i | \(-0.916062\pi\) |
0.988614 | − | 0.150477i | \(-0.0480810\pi\) | |||||||
\(192\) | 0.109321 | + | 1.16115i | 0.00788957 | + | 0.0837988i | ||||
\(193\) | −8.27173 | − | 4.52587i | −0.595412 | − | 0.325780i | 0.153808 | − | 0.988101i | \(-0.450846\pi\) |
−0.749220 | + | 0.662321i | \(0.769571\pi\) | |||||||
\(194\) | 11.1191 | − | 14.4128i | 0.798307 | − | 1.03478i | ||||
\(195\) | −1.42925 | − | 0.327561i | −0.102351 | − | 0.0234572i | ||||
\(196\) | 0.751495 | − | 0.634149i | 0.0536782 | − | 0.0452964i | ||||
\(197\) | −12.5454 | + | 0.943907i | −0.893822 | + | 0.0672506i | −0.513981 | − | 0.857801i | \(-0.671830\pi\) |
−0.379841 | + | 0.925052i | \(0.624021\pi\) | |||||||
\(198\) | 5.15363 | − | 5.87968i | 0.366252 | − | 0.417850i | ||||
\(199\) | −0.133097 | − | 21.2675i | −0.00943498 | − | 1.50761i | −0.661786 | − | 0.749693i | \(-0.730201\pi\) |
0.652351 | − | 0.757917i | \(-0.273783\pi\) | |||||||
\(200\) | −0.798129 | + | 1.52606i | −0.0564362 | + | 0.107909i | ||||
\(201\) | 0.576481 | − | 1.82063i | 0.0406618 | − | 0.128418i | ||||
\(202\) | 1.57032 | + | 0.884915i | 0.110487 | + | 0.0622624i | ||||
\(203\) | 17.5420 | + | 8.48646i | 1.23121 | + | 0.595632i | ||||
\(204\) | 0.0323382 | + | 0.737723i | 0.00226413 | + | 0.0516510i | ||||
\(205\) | 24.4031 | − | 2.76061i | 1.70438 | − | 0.192809i | ||||
\(206\) | 9.89967 | + | 8.14391i | 0.689743 | + | 0.567413i | ||||
\(207\) | 11.0366 | + | 5.00236i | 0.767097 | + | 0.347688i | ||||
\(208\) | 2.53451 | + | 0.222629i | 0.175737 | + | 0.0154366i | ||||
\(209\) | −5.49565 | − | 6.11378i | −0.380142 | − | 0.422899i | ||||
\(210\) | 0.890328 | + | 0.180720i | 0.0614385 | + | 0.0124709i | ||||
\(211\) | 3.11930 | − | 2.13762i | 0.214742 | − | 0.147159i | −0.453108 | − | 0.891455i | \(-0.649685\pi\) |
0.667850 | + | 0.744296i | \(0.267215\pi\) | |||||||
\(212\) | 1.66192 | + | 1.20111i | 0.114141 | + | 0.0824928i | ||||
\(213\) | 0.252650 | + | 0.213199i | 0.0173113 | + | 0.0146082i | ||||
\(214\) | 6.23700 | + | 8.29717i | 0.426353 | + | 0.567183i | ||||
\(215\) | 24.3822 | − | 3.06778i | 1.66285 | − | 0.209221i | ||||
\(216\) | 2.78575 | + | 1.61611i | 0.189546 | + | 0.109962i | ||||
\(217\) | −7.88466 | − | 2.01602i | −0.535246 | − | 0.136857i | ||||
\(218\) | −0.732822 | + | 5.54399i | −0.0496330 | + | 0.375487i | ||||
\(219\) | −1.45032 | − | 0.0726714i | −0.0980037 | − | 0.00491068i | ||||
\(220\) | 5.72652 | − | 2.50963i | 0.386082 | − | 0.169200i | ||||
\(221\) | 14.1218 | + | 1.95666i | 0.949937 | + | 0.131619i | ||||
\(222\) | 0.593215 | + | 1.10049i | 0.0398140 | + | 0.0738601i | ||||
\(223\) | 2.18842 | − | 1.05871i | 0.146548 | − | 0.0708967i | −0.360775 | − | 0.932653i | \(-0.617488\pi\) |
0.507323 | + | 0.861756i | \(0.330635\pi\) | |||||||
\(224\) | 12.9748 | + | 0.813043i | 0.866913 | + | 0.0543237i | ||||
\(225\) | 0.782517 | + | 1.54293i | 0.0521678 | + | 0.102862i | ||||
\(226\) | 6.52782 | − | 14.1658i | 0.434224 | − | 0.942292i | ||||
\(227\) | 7.10456 | − | 1.62825i | 0.471546 | − | 0.108071i | 0.0190143 | − | 0.999819i | \(-0.493947\pi\) |
0.452532 | + | 0.891748i | \(0.350521\pi\) | |||||||
\(228\) | 0.355096 | − | 0.472389i | 0.0235168 | − | 0.0312847i | ||||
\(229\) | −2.65949 | + | 4.65108i | −0.175744 | + | 0.307352i | −0.942265 | − | 0.334867i | \(-0.891309\pi\) |
0.766521 | + | 0.642219i | \(0.221986\pi\) | |||||||
\(230\) | −5.34443 | − | 6.25356i | −0.352401 | − | 0.412348i | ||||
\(231\) | 0.794162 | + | 0.953156i | 0.0522520 | + | 0.0627131i | ||||
\(232\) | −8.14246 | − | 21.8497i | −0.534578 | − | 1.43451i | ||||
\(233\) | −19.1003 | − | 0.239078i | −1.25130 | − | 0.0156625i | −0.615888 | − | 0.787834i | \(-0.711203\pi\) |
−0.635415 | + | 0.772171i | \(0.719171\pi\) | |||||||
\(234\) | 7.05012 | − | 8.24940i | 0.460881 | − | 0.539280i | ||||
\(235\) | −1.27370 | − | 3.55317i | −0.0830868 | − | 0.231783i | ||||
\(236\) | −0.0497814 | − | 0.0341145i | −0.00324049 | − | 0.00222066i | ||||
\(237\) | −1.33537 | − | 1.37782i | −0.0867418 | − | 0.0894993i | ||||
\(238\) | −8.77712 | − | 0.992918i | −0.568936 | − | 0.0643613i | ||||
\(239\) | 0.600819 | − | 8.71401i | 0.0388638 | − | 0.563663i | −0.937563 | − | 0.347815i | \(-0.886924\pi\) |
0.976427 | − | 0.215848i | \(-0.0692515\pi\) | |||||||
\(240\) | −0.146054 | − | 0.210294i | −0.00942773 | − | 0.0135744i | ||||
\(241\) | 0.876464 | + | 0.271498i | 0.0564580 | + | 0.0174887i | 0.323994 | − | 0.946059i | \(-0.394974\pi\) |
−0.267536 | + | 0.963548i | \(0.586209\pi\) | |||||||
\(242\) | 3.17949 | + | 0.855497i | 0.204385 | + | 0.0549934i | ||||
\(243\) | 4.42832 | − | 2.00714i | 0.284077 | − | 0.128758i | ||||
\(244\) | −11.1828 | + | 3.92986i | −0.715903 | + | 0.251583i | ||||
\(245\) | −0.667128 | + | 1.79019i | −0.0426212 | + | 0.114371i | ||||
\(246\) | 0.738676 | − | 1.90883i | 0.0470963 | − | 0.121702i | ||||
\(247\) | −7.73312 | − | 8.38931i | −0.492046 | − | 0.533799i | ||||
\(248\) | 5.14777 | + | 8.26627i | 0.326884 | + | 0.524909i | ||||
\(249\) | −2.05387 | − | 0.809617i | −0.130159 | − | 0.0513074i | ||||
\(250\) | −0.351782 | − | 11.2387i | −0.0222487 | − | 0.710798i | ||||
\(251\) | −10.8235 | + | 13.3261i | −0.683175 | + | 0.841136i | −0.994006 | − | 0.109329i | \(-0.965130\pi\) |
0.310831 | + | 0.950465i | \(0.399393\pi\) | |||||||
\(252\) | 4.99299 | − | 6.14745i | 0.314529 | − | 0.387253i | ||||
\(253\) | −0.351458 | − | 11.2283i | −0.0220960 | − | 0.705920i | ||||
\(254\) | −6.00487 | − | 2.36707i | −0.376779 | − | 0.148523i | ||||
\(255\) | −0.758411 | − | 1.21785i | −0.0474935 | − | 0.0762649i | ||||
\(256\) | −11.5205 | − | 12.4980i | −0.720029 | − | 0.781127i | ||||
\(257\) | 3.17373 | − | 8.20131i | 0.197972 | − | 0.511584i | −0.797855 | − | 0.602850i | \(-0.794032\pi\) |
0.995827 | + | 0.0912664i | \(0.0290915\pi\) | |||||||
\(258\) | 0.715185 | − | 1.91915i | 0.0445254 | − | 0.119481i | ||||
\(259\) | 16.6194 | − | 5.84040i | 1.03268 | − | 0.362905i | ||||
\(260\) | 7.90372 | − | 3.58237i | 0.490168 | − | 0.222169i | ||||
\(261\) | −22.6194 | − | 6.08615i | −1.40011 | − | 0.376723i | ||||
\(262\) | 13.9159 | + | 4.31066i | 0.859727 | + | 0.266313i | ||||
\(263\) | 11.3655 | + | 16.3644i | 0.700826 | + | 1.00907i | 0.998519 | + | 0.0544129i | \(0.0173287\pi\) |
−0.297693 | + | 0.954662i | \(0.596217\pi\) | |||||||
\(264\) | 0.102114 | − | 1.48101i | 0.00628465 | − | 0.0911498i | ||||
\(265\) | −3.95871 | − | 0.447831i | −0.243182 | − | 0.0275101i | ||||
\(266\) | 4.91984 | + | 5.07624i | 0.301655 | + | 0.311244i | ||||
\(267\) | 0.143644 | + | 0.0984372i | 0.00879087 | + | 0.00602426i | ||||
\(268\) | 3.81373 | + | 10.6390i | 0.232960 | + | 0.649878i | ||||
\(269\) | 1.62170 | − | 1.89757i | 0.0988770 | − | 0.115697i | −0.708560 | − | 0.705651i | \(-0.750655\pi\) |
0.807437 | + | 0.589954i | \(0.200854\pi\) | |||||||
\(270\) | −2.19617 | − | 0.0274894i | −0.133655 | − | 0.00167295i | ||||
\(271\) | −0.957933 | − | 2.57055i | −0.0581903 | − | 0.156150i | 0.904696 | − | 0.426058i | \(-0.140098\pi\) |
−0.962886 | + | 0.269909i | \(0.913007\pi\) | |||||||
\(272\) | 1.59353 | + | 1.91256i | 0.0966221 | + | 0.115966i | ||||
\(273\) | 1.11870 | + | 1.30900i | 0.0677070 | + | 0.0792245i | ||||
\(274\) | −8.04246 | + | 14.0651i | −0.485863 | + | 0.849706i | ||||
\(275\) | 0.963723 | − | 1.28205i | 0.0581147 | − | 0.0773108i | ||||
\(276\) | 0.787166 | − | 0.180406i | 0.0473818 | − | 0.0108592i | ||||
\(277\) | 5.65888 | − | 12.2801i | 0.340009 | − | 0.737840i | −0.659900 | − | 0.751354i | \(-0.729401\pi\) |
0.999909 | + | 0.0135136i | \(0.00430163\pi\) | |||||||
\(278\) | 1.11911 | + | 2.20662i | 0.0671200 | + | 0.132344i | ||||
\(279\) | 9.76334 | + | 0.611804i | 0.584516 | + | 0.0366277i | ||||
\(280\) | −13.7885 | + | 6.67058i | −0.824019 | + | 0.398643i | ||||
\(281\) | −13.6001 | − | 25.2300i | −0.811317 | − | 1.50510i | −0.862299 | − | 0.506399i | \(-0.830976\pi\) |
0.0509826 | − | 0.998700i | \(-0.483765\pi\) | |||||||
\(282\) | −0.311602 | − | 0.0431744i | −0.0185557 | − | 0.00257100i | ||||
\(283\) | 13.3687 | − | 5.85881i | 0.794688 | − | 0.348270i | 0.0356894 | − | 0.999363i | \(-0.488637\pi\) |
0.758998 | + | 0.651093i | \(0.225689\pi\) | |||||||
\(284\) | −1.95397 | − | 0.0979076i | −0.115947 | − | 0.00580975i | ||||
\(285\) | −0.150463 | + | 1.13829i | −0.00891264 | + | 0.0674265i | ||||
\(286\) | −9.74679 | − | 2.49215i | −0.576340 | − | 0.147364i | ||||
\(287\) | −24.9459 | − | 14.4720i | −1.47251 | − | 0.854255i | ||||
\(288\) | −15.5044 | + | 1.95077i | −0.913605 | + | 0.114951i | ||||
\(289\) | −1.83301 | − | 2.43848i | −0.107824 | − | 0.143440i | ||||
\(290\) | 12.1531 | + | 10.2554i | 0.713654 | + | 0.602218i | ||||
\(291\) | −2.81404 | − | 2.03378i | −0.164962 | − | 0.119222i | ||||
\(292\) | 7.08902 | − | 4.85801i | 0.414854 | − | 0.284294i | ||||
\(293\) | 8.35943 | + | 1.69681i | 0.488363 | + | 0.0991287i | 0.436833 | − | 0.899543i | \(-0.356100\pi\) |
0.0515302 | + | 0.998671i | \(0.483590\pi\) | |||||||
\(294\) | 0.106441 | + | 0.118413i | 0.00620778 | + | 0.00690601i | ||||
\(295\) | 0.116802 | + | 0.0102597i | 0.00680046 | + | 0.000597346i | ||||
\(296\) | −19.1986 | − | 8.70177i | −1.11589 | − | 0.505780i | ||||
\(297\) | −2.31632 | − | 1.90550i | −0.134406 | − | 0.110569i | ||||
\(298\) | −20.5154 | + | 2.32082i | −1.18842 | + | 0.134441i | ||||
\(299\) | −0.682806 | − | 15.5767i | −0.0394877 | − | 0.900824i | ||||
\(300\) | 0.103791 | + | 0.0502120i | 0.00599239 | + | 0.00289899i | ||||
\(301\) | −25.1412 | − | 14.1677i | −1.44911 | − | 0.816612i | ||||
\(302\) | 4.13185 | − | 13.0492i | 0.237761 | − | 0.750895i | ||||
\(303\) | 0.159332 | − | 0.304651i | 0.00915340 | − | 0.0175017i | ||||
\(304\) | −0.0124680 | − | 1.99226i | −0.000715089 | − | 0.114264i | ||||
\(305\) | 15.1799 | − | 17.3184i | 0.869197 | − | 0.991651i | ||||
\(306\) | 10.5877 | − | 0.796613i | 0.605260 | − | 0.0455393i | ||||
\(307\) | 4.17541 | − | 3.52342i | 0.238303 | − | 0.201092i | −0.517878 | − | 0.855454i | \(-0.673278\pi\) |
0.756181 | + | 0.654362i | \(0.227063\pi\) | |||||||
\(308\) | −7.15667 | − | 1.64020i | −0.407789 | − | 0.0934588i | ||||
\(309\) | 1.49351 | − | 1.93590i | 0.0849625 | − | 0.110130i | ||||
\(310\) | −5.82603 | − | 3.18771i | −0.330897 | − | 0.181050i | ||||
\(311\) | −1.01741 | − | 10.8064i | −0.0576919 | − | 0.612773i | −0.976127 | − | 0.217201i | \(-0.930307\pi\) |
0.918435 | − | 0.395572i | \(-0.129454\pi\) | |||||||
\(312\) | 0.115987 | − | 2.05713i | 0.00656649 | − | 0.116462i | ||||
\(313\) | −15.4301 | − | 2.53306i | −0.872163 | − | 0.143177i | −0.290763 | − | 0.956795i | \(-0.593909\pi\) |
−0.581400 | + | 0.813618i | \(0.697495\pi\) | |||||||
\(314\) | 15.4450 | − | 3.74382i | 0.871614 | − | 0.211276i | ||||
\(315\) | −2.58760 | + | 15.1679i | −0.145795 | + | 0.854617i | ||||
\(316\) | 11.2275 | + | 1.69911i | 0.631595 | + | 0.0955826i | ||||
\(317\) | −1.18302 | + | 12.5654i | −0.0664451 | + | 0.705744i | 0.897742 | + | 0.440522i | \(0.145206\pi\) |
−0.964187 | + | 0.265223i | \(0.914554\pi\) | |||||||
\(318\) | −0.185975 | + | 0.275059i | −0.0104290 | + | 0.0154246i | ||||
\(319\) | 4.18658 | + | 21.3086i | 0.234404 | + | 1.19305i | ||||
\(320\) | 12.7590 | + | 4.12800i | 0.713249 | + | 0.230762i | ||||
\(321\) | 1.54458 | − | 1.23855i | 0.0862100 | − | 0.0691293i | ||||
\(322\) | 0.664479 | + | 9.63731i | 0.0370300 | + | 0.537066i | ||||
\(323\) | 0.488895 | − | 11.1530i | 0.0272028 | − | 0.620572i | ||||
\(324\) | −4.46562 | + | 8.28432i | −0.248090 | + | 0.460240i | ||||
\(325\) | 1.31519 | − | 1.79599i | 0.0729538 | − | 0.0996235i | ||||
\(326\) | 7.29900 | + | 22.0871i | 0.404254 | + | 1.22329i | ||||
\(327\) | 1.06130 | + | 0.106625i | 0.0586899 | + | 0.00589636i | ||||
\(328\) | 9.59038 | + | 33.1496i | 0.529540 | + | 1.83038i | ||||
\(329\) | −1.28504 | + | 4.24219i | −0.0708467 | + | 0.233880i | ||||
\(330\) | 0.435183 | + | 0.914097i | 0.0239560 | + | 0.0503194i | ||||
\(331\) | 21.3062 | + | 8.70840i | 1.17110 | + | 0.478657i | 0.878576 | − | 0.477602i | \(-0.158494\pi\) |
0.292521 | + | 0.956259i | \(0.405506\pi\) | |||||||
\(332\) | 12.5730 | − | 3.55232i | 0.690033 | − | 0.194959i | ||||
\(333\) | −18.3156 | + | 10.6255i | −1.00369 | + | 0.582276i | ||||
\(334\) | 13.1105 | − | 9.98418i | 0.717372 | − | 0.546310i | ||||
\(335\) | −16.6032 | − | 14.3702i | −0.907129 | − | 0.785128i | ||||
\(336\) | −0.00940667 | + | 0.300523i | −0.000513176 | + | 0.0163949i | ||||
\(337\) | 9.14995 | − | 21.2390i | 0.498429 | − | 1.15696i | −0.464099 | − | 0.885783i | \(-0.653622\pi\) |
0.962529 | − | 0.271180i | \(-0.0874140\pi\) | |||||||
\(338\) | −1.46294 | − | 0.354613i | −0.0795736 | − | 0.0192884i | ||||
\(339\) | −2.73956 | − | 1.15995i | −0.148792 | − | 0.0629999i | ||||
\(340\) | 7.93742 | + | 3.01464i | 0.430467 | + | 0.163492i | ||||
\(341\) | −3.48375 | − | 8.37343i | −0.188655 | − | 0.453446i | ||||
\(342\) | −6.94873 | − | 4.89080i | −0.375744 | − | 0.264464i | ||||
\(343\) | 16.3726 | − | 10.6276i | 0.884036 | − | 0.573837i | ||||
\(344\) | 10.0109 | + | 33.0481i | 0.539753 | + | 1.78184i | ||||
\(345\) | −1.16031 | + | 1.05620i | −0.0624688 | + | 0.0568637i | ||||
\(346\) | 1.09132 | − | 2.29230i | 0.0586697 | − | 0.123235i | ||||
\(347\) | 10.1375 | + | 9.22788i | 0.544209 | + | 0.495379i | 0.898030 | − | 0.439935i | \(-0.144998\pi\) |
−0.353821 | + | 0.935313i | \(0.615118\pi\) | |||||||
\(348\) | −1.44507 | + | 0.590635i | −0.0774637 | + | 0.0316614i | ||||
\(349\) | −25.7606 | + | 20.1321i | −1.37893 | + | 1.07765i | −0.391402 | + | 0.920220i | \(0.628010\pi\) |
−0.987530 | + | 0.157429i | \(0.949679\pi\) | |||||||
\(350\) | −0.786753 | + | 1.13280i | −0.0420537 | + | 0.0605505i | ||||
\(351\) | −3.24771 | − | 2.60424i | −0.173350 | − | 0.139004i | ||||
\(352\) | 7.96368 | + | 12.1021i | 0.424466 | + | 0.645043i | ||||
\(353\) | −8.23992 | + | 3.85979i | −0.438567 | + | 0.205436i | −0.630852 | − | 0.775903i | \(-0.717295\pi\) |
0.192285 | + | 0.981339i | \(0.438410\pi\) | |||||||
\(354\) | 0.00526908 | − | 0.00822970i | 0.000280049 | − | 0.000437404i | ||||
\(355\) | 3.40075 | − | 1.69806i | 0.180493 | − | 0.0901237i | ||||
\(356\) | −1.02926 | + | 0.0515732i | −0.0545506 | + | 0.00273337i | ||||
\(357\) | −0.136917 | + | 1.67922i | −0.00724642 | + | 0.0888739i | ||||
\(358\) | 3.64301 | − | 0.692107i | 0.192539 | − | 0.0365790i | ||||
\(359\) | −7.35032 | + | 11.8031i | −0.387935 | + | 0.622944i | −0.983616 | − | 0.180277i | \(-0.942301\pi\) |
0.595681 | + | 0.803221i | \(0.296882\pi\) | |||||||
\(360\) | 14.7863 | − | 10.9708i | 0.779309 | − | 0.578211i | ||||
\(361\) | 6.72897 | − | 7.48583i | 0.354156 | − | 0.393991i | ||||
\(362\) | −10.4302 | + | 9.73585i | −0.548201 | + | 0.511705i | ||||
\(363\) | 0.144121 | − | 0.611252i | 0.00756442 | − | 0.0320824i | ||||
\(364\) | −9.96059 | − | 2.15196i | −0.522077 | − | 0.112793i | ||||
\(365\) | −7.36535 | + | 14.9847i | −0.385520 | + | 0.784334i | ||||
\(366\) | −0.692680 | − | 1.78997i | −0.0362070 | − | 0.0935632i | ||||
\(367\) | 13.7194 | − | 0.171726i | 0.716149 | − | 0.00896401i | 0.346389 | − | 0.938091i | \(-0.387408\pi\) |
0.369761 | + | 0.929127i | \(0.379440\pi\) | |||||||
\(368\) | 1.74274 | − | 2.09164i | 0.0908467 | − | 0.109034i | ||||
\(369\) | 32.7056 | + | 11.4934i | 1.70258 | + | 0.598324i | ||||
\(370\) | 14.3198 | − | 1.25784i | 0.744451 | − | 0.0653919i | ||||
\(371\) | 3.42005 | + | 3.19236i | 0.177560 | + | 0.165739i | ||||
\(372\) | 0.542372 | − | 0.361788i | 0.0281207 | − | 0.0187578i | ||||
\(373\) | −1.33009 | + | 5.06957i | −0.0688694 | + | 0.262492i | −0.992752 | − | 0.120185i | \(-0.961651\pi\) |
0.923882 | + | 0.382677i | \(0.124998\pi\) | |||||||
\(374\) | −4.99270 | − | 8.48334i | −0.258166 | − | 0.438663i | ||||
\(375\) | −2.14048 | + | 0.134130i | −0.110534 | + | 0.00692643i | ||||
\(376\) | 4.62071 | − | 2.60389i | 0.238295 | − | 0.134285i | ||||
\(377\) | 6.18034 | + | 29.4996i | 0.318304 | + | 1.51931i | ||||
\(378\) | 2.05195 | + | 1.56265i | 0.105541 | + | 0.0803740i | ||||
\(379\) | −8.04716 | − | 1.01250i | −0.413355 | − | 0.0520086i | −0.0845795 | − | 0.996417i | \(-0.526955\pi\) |
−0.328776 | + | 0.944408i | \(0.606636\pi\) | |||||||
\(380\) | −3.37295 | − | 5.89883i | −0.173029 | − | 0.302603i | ||||
\(381\) | −0.415432 | + | 1.15891i | −0.0212832 | + | 0.0593728i | ||||
\(382\) | −4.42000 | + | 3.19444i | −0.226147 | + | 0.163442i | ||||
\(383\) | −7.86625 | − | 0.591852i | −0.401947 | − | 0.0302422i | −0.127486 | − | 0.991840i | \(-0.540691\pi\) |
−0.274461 | + | 0.961598i | \(0.588499\pi\) | |||||||
\(384\) | −0.576654 | + | 0.565928i | −0.0294273 | + | 0.0288799i | ||||
\(385\) | 13.6781 | − | 4.05010i | 0.697103 | − | 0.206412i | ||||
\(386\) | 1.63085 | + | 8.88718i | 0.0830080 | + | 0.452346i | ||||
\(387\) | 32.8679 | + | 11.0903i | 1.67077 | + | 0.563750i | ||||
\(388\) | 20.5413 | − | 0.514311i | 1.04283 | − | 0.0261102i | ||||
\(389\) | 3.79079 | + | 15.2221i | 0.192201 | + | 0.771790i | 0.986431 | + | 0.164173i | \(0.0524957\pi\) |
−0.794231 | + | 0.607616i | \(0.792126\pi\) | |||||||
\(390\) | 0.619830 | + | 1.26103i | 0.0313863 | + | 0.0638549i | ||||
\(391\) | 10.3397 | − | 11.2171i | 0.522901 | − | 0.567271i | ||||
\(392\) | −2.63734 | − | 0.501047i | −0.133206 | − | 0.0253067i | ||||
\(393\) | 0.738756 | − | 2.67869i | 0.0372653 | − | 0.135122i | ||||
\(394\) | 8.28145 | + | 8.76153i | 0.417213 | + | 0.441400i | ||||
\(395\) | −20.6247 | + | 7.83329i | −1.03774 | + | 0.394136i | ||||
\(396\) | 8.81934 | + | 0.331312i | 0.443188 | + | 0.0166491i | ||||
\(397\) | 2.81586 | − | 0.757657i | 0.141324 | − | 0.0380257i | −0.188468 | − | 0.982079i | \(-0.560352\pi\) |
0.329792 | + | 0.944054i | \(0.393021\pi\) | |||||||
\(398\) | −15.7392 | + | 12.9478i | −0.788936 | + | 0.649014i | ||||
\(399\) | 0.938393 | − | 0.968225i | 0.0469784 | − | 0.0484719i | ||||
\(400\) | 0.380932 | − | 0.0773221i | 0.0190466 | − | 0.00386611i | ||||
\(401\) | −24.2406 | − | 17.9854i | −1.21052 | − | 0.898150i | −0.213627 | − | 0.976915i | \(-0.568528\pi\) |
−0.996893 | + | 0.0787655i | \(0.974902\pi\) | |||||||
\(402\) | −1.70255 | + | 0.671130i | −0.0849154 | + | 0.0334729i | ||||
\(403\) | −4.98023 | − | 11.5602i | −0.248083 | − | 0.575855i | ||||
\(404\) | 0.342159 | + | 2.00566i | 0.0170230 | + | 0.0997852i | ||||
\(405\) | −0.343272 | − | 18.2819i | −0.0170573 | − | 0.908433i | ||||
\(406\) | −4.28546 | − | 18.1756i | −0.212684 | − | 0.902040i | ||||
\(407\) | 16.3309 | + | 10.8935i | 0.809491 | + | 0.539969i | ||||
\(408\) | 1.50770 | − | 1.33830i | 0.0746422 | − | 0.0662556i | ||||
\(409\) | 13.1838 | + | 15.0412i | 0.651898 | + | 0.743738i | 0.979581 | − | 0.201050i | \(-0.0644353\pi\) |
−0.327683 | + | 0.944788i | \(0.606268\pi\) | |||||||
\(410\) | −16.7966 | − | 16.4842i | −0.829526 | − | 0.814097i | ||||
\(411\) | 2.72941 | + | 1.44931i | 0.134632 | + | 0.0714891i | ||||
\(412\) | −0.0905547 | + | 14.4697i | −0.00446131 | + | 0.712870i | ||||
\(413\) | −0.102975 | − | 0.0914052i | −0.00506708 | − | 0.00449776i | ||||
\(414\) | −2.94683 | − | 11.2317i | −0.144829 | − | 0.552007i | ||||
\(415\) | −17.8932 | + | 18.0055i | −0.878340 | + | 0.883854i | ||||
\(416\) | 11.2623 | + | 16.6570i | 0.552180 | + | 0.816679i | ||||
\(417\) | 0.413998 | − | 0.226519i | 0.0202736 | − | 0.0110927i | ||||
\(418\) | −1.22749 | + | 7.78155i | −0.0600383 | + | 0.380608i | ||||
\(419\) | −28.8701 | + | 5.11128i | −1.41040 | + | 0.249702i | −0.826871 | − | 0.562392i | \(-0.809881\pi\) |
−0.583526 | + | 0.812094i | \(0.698327\pi\) | |||||||
\(420\) | 0.475257 | + | 0.908713i | 0.0231901 | + | 0.0443406i | ||||
\(421\) | −10.3565 | + | 5.49929i | −0.504747 | + | 0.268019i | −0.701800 | − | 0.712374i | \(-0.747620\pi\) |
0.197053 | + | 0.980393i | \(0.436863\pi\) | |||||||
\(422\) | −3.47458 | − | 1.02882i | −0.169140 | − | 0.0500824i | ||||
\(423\) | 0.565776 | − | 5.29793i | 0.0275090 | − | 0.257594i | ||||
\(424\) | −0.315138 | − | 5.58924i | −0.0153045 | − | 0.271438i | ||||
\(425\) | 2.15354 | − | 0.325907i | 0.104462 | − | 0.0158088i | ||||
\(426\) | 0.00594726 | − | 0.316737i | 0.000288146 | − | 0.0153459i | ||||
\(427\) | −26.4342 | + | 5.71103i | −1.27924 | + | 0.276376i | ||||
\(428\) | −2.83138 | + | 11.3695i | −0.136860 | + | 0.549567i | ||||
\(429\) | −0.416949 | + | 1.87303i | −0.0201305 | + | 0.0904307i | ||||
\(430\) | −17.0125 | − | 16.2831i | −0.820416 | − | 0.785240i | ||||
\(431\) | 0.375472 | + | 1.09020i | 0.0180859 | + | 0.0525133i | 0.954174 | − | 0.299252i | \(-0.0967370\pi\) |
−0.936088 | + | 0.351765i | \(0.885582\pi\) | |||||||
\(432\) | −0.113263 | − | 0.718021i | −0.00544936 | − | 0.0345458i | ||||
\(433\) | 3.33667 | + | 4.32504i | 0.160350 | + | 0.207848i | 0.865088 | − | 0.501619i | \(-0.167262\pi\) |
−0.704738 | + | 0.709468i | \(0.748935\pi\) | |||||||
\(434\) | 3.26393 | + | 7.08293i | 0.156674 | + | 0.339992i | ||||
\(435\) | 1.88260 | − | 2.37810i | 0.0902637 | − | 0.114021i | ||||
\(436\) | −5.37914 | + | 3.30329i | −0.257614 | + | 0.158199i | ||||
\(437\) | −12.0935 | + | 1.67563i | −0.578512 | + | 0.0801563i | ||||
\(438\) | 0.822159 | + | 1.12272i | 0.0392843 | + | 0.0536454i | ||||
\(439\) | −16.6036 | + | 23.2792i | −0.792449 | + | 1.11105i | 0.198929 | + | 0.980014i | \(0.436254\pi\) |
−0.991377 | + | 0.131040i | \(0.958169\pi\) | |||||||
\(440\) | −15.1748 | − | 7.81587i | −0.723430 | − | 0.372607i | ||||
\(441\) | −1.94820 | + | 1.86467i | −0.0927712 | + | 0.0887936i | ||||
\(442\) | −7.07629 | − | 11.6865i | −0.336585 | − | 0.555872i | ||||
\(443\) | −27.4714 | + | 29.0639i | −1.30521 | + | 1.38087i | −0.425784 | + | 0.904825i | \(0.640002\pi\) |
−0.879421 | + | 0.476045i | \(0.842070\pi\) | |||||||
\(444\) | −0.542085 | + | 1.30294i | −0.0257262 | + | 0.0618347i | ||||
\(445\) | 1.69297 | − | 1.06905i | 0.0802544 | − | 0.0506778i | ||||
\(446\) | −2.10966 | − | 0.988218i | −0.0998952 | − | 0.0467935i | ||||
\(447\) | 0.564870 | + | 3.89727i | 0.0267174 | + | 0.184335i | ||||
\(448\) | −9.14437 | − | 12.8209i | −0.432031 | − | 0.605730i | ||||
\(449\) | 6.46126 | − | 19.5521i | 0.304926 | − | 0.922720i | −0.677412 | − | 0.735604i | \(-0.736899\pi\) |
0.982338 | − | 0.187116i | \(-0.0599142\pi\) | |||||||
\(450\) | 0.674938 | − | 1.51423i | 0.0318169 | − | 0.0713817i | ||||
\(451\) | −3.81245 | − | 31.9118i | −0.179521 | − | 1.50267i | ||||
\(452\) | 17.0575 | − | 4.36143i | 0.802318 | − | 0.205144i | ||||
\(453\) | −2.51239 | − | 0.709840i | −0.118042 | − | 0.0333512i | ||||
\(454\) | −5.50340 | − | 4.30096i | −0.258287 | − | 0.201854i | ||||
\(455\) | 18.9123 | − | 5.85837i | 0.886623 | − | 0.274645i | ||||
\(456\) | −1.61226 | + | 0.0605671i | −0.0755010 | + | 0.00283632i | ||||
\(457\) | 2.29055 | − | 0.969837i | 0.107147 | − | 0.0453670i | −0.335665 | − | 0.941981i | \(-0.608961\pi\) |
0.442812 | + | 0.896614i | \(0.353981\pi\) | |||||||
\(458\) | 5.06641 | − | 0.831718i | 0.236738 | − | 0.0388636i | ||||
\(459\) | −0.432520 | − | 4.05012i | −0.0201883 | − | 0.189044i | ||||
\(460\) | 1.67598 | − | 9.13313i | 0.0781430 | − | 0.425834i | ||||
\(461\) | −17.4999 | + | 31.5138i | −0.815052 | + | 1.46774i | 0.0675968 | + | 0.997713i | \(0.478467\pi\) |
−0.882649 | + | 0.470032i | \(0.844242\pi\) | |||||||
\(462\) | 0.229203 | − | 1.16658i | 0.0106635 | − | 0.0542744i | ||||
\(463\) | −3.38817 | − | 3.40944i | −0.157461 | − | 0.158450i | 0.626147 | − | 0.779705i | \(-0.284631\pi\) |
−0.783608 | + | 0.621255i | \(0.786623\pi\) | |||||||
\(464\) | −2.66937 | + | 4.53566i | −0.123923 | + | 0.210563i | ||||
\(465\) | −0.572950 | + | 1.12972i | −0.0265699 | + | 0.0523893i | ||||
\(466\) | 11.3617 | + | 14.3521i | 0.526319 | + | 0.664846i | ||||
\(467\) | −28.0417 | − | 10.2505i | −1.29761 | − | 0.474338i | −0.400565 | − | 0.916268i | \(-0.631186\pi\) |
−0.897049 | + | 0.441931i | \(0.854294\pi\) | |||||||
\(468\) | 12.2453 | + | 0.306596i | 0.566040 | + | 0.0141724i | ||||
\(469\) | 5.60303 | + | 25.1701i | 0.258724 | + | 1.16225i | ||||
\(470\) | −1.87349 | + | 3.09408i | −0.0864177 | + | 0.142719i | ||||
\(471\) | −0.805900 | − | 2.92215i | −0.0371339 | − | 0.134646i | ||||
\(472\) | 0.0133892 | + | 0.164213i | 0.000616290 | + | 0.00755850i | ||||
\(473\) | −4.21425 | − | 31.8819i | −0.193772 | − | 1.46593i | ||||
\(474\) | −0.218116 | + | 1.82572i | −0.0100184 | + | 0.0838582i | ||||
\(475\) | −1.49669 | − | 0.893506i | −0.0686730 | − | 0.0409969i | ||||
\(476\) | −5.37626 | − | 8.39710i | −0.246420 | − | 0.384880i | ||||
\(477\) | −4.75497 | − | 3.00259i | −0.217715 | − | 0.137479i | ||||
\(478\) | −6.84484 | + | 4.81768i | −0.313076 | + | 0.220355i | ||||
\(479\) | −7.91124 | + | 19.7071i | −0.361474 | + | 0.900443i | 0.630751 | + | 0.775985i | \(0.282747\pi\) |
−0.992225 | + | 0.124457i | \(0.960281\pi\) | |||||||
\(480\) | 0.562332 | − | 1.94373i | 0.0256668 | − | 0.0887186i | ||||
\(481\) | 22.8534 | + | 14.8344i | 1.04202 | + | 0.676390i | ||||
\(482\) | −0.327566 | − | 0.815977i | −0.0149202 | − | 0.0371668i | ||||
\(483\) | 1.83332 | − | 0.184187i | 0.0834190 | − | 0.00838081i | ||||
\(484\) | 1.51310 | + | 3.39467i | 0.0687774 | + | 0.154303i | ||||
\(485\) | −34.2785 | + | 20.4638i | −1.55651 | + | 0.929214i | ||||
\(486\) | −4.16838 | − | 2.08136i | −0.189082 | − | 0.0944122i | ||||
\(487\) | −19.8673 | − | 8.70679i | −0.900271 | − | 0.394542i | −0.100563 | − | 0.994931i | \(-0.532064\pi\) |
−0.799708 | + | 0.600389i | \(0.795013\pi\) | |||||||
\(488\) | 27.5757 | + | 16.9341i | 1.24830 | + | 0.766569i | ||||
\(489\) | 4.16720 | − | 1.52330i | 0.188447 | − | 0.0688862i | ||||
\(490\) | 1.73467 | − | 0.585312i | 0.0783644 | − | 0.0264417i | ||||
\(491\) | −6.22482 | − | 11.2096i | −0.280922 | − | 0.505884i | 0.696397 | − | 0.717657i | \(-0.254785\pi\) |
−0.977319 | + | 0.211773i | \(0.932076\pi\) | |||||||
\(492\) | 2.19819 | − | 0.711195i | 0.0991020 | − | 0.0320631i | ||||
\(493\) | −16.2109 | + | 24.6350i | −0.730102 | + | 1.10951i | ||||
\(494\) | −1.56834 | + | 10.8206i | −0.0705630 | + | 0.486844i | ||||
\(495\) | −15.2440 | + | 7.85149i | −0.685165 | + | 0.352898i | ||||
\(496\) | 0.715719 | − | 2.07813i | 0.0321367 | − | 0.0933108i | ||||
\(497\) | −4.39538 | − | 0.778176i | −0.197160 | − | 0.0349060i | ||||
\(498\) | 0.638621 | + | 2.01689i | 0.0286173 | + | 0.0903788i | ||||
\(499\) | 1.31469 | − | 6.27519i | 0.0588536 | − | 0.280916i | −0.939193 | − | 0.343390i | \(-0.888425\pi\) |
0.998047 | + | 0.0624738i | \(0.0198990\pi\) | |||||||
\(500\) | 9.59697 | − | 8.30627i | 0.429190 | − | 0.371468i | ||||
\(501\) | −1.98165 | − | 2.43984i | −0.0885335 | − | 0.109004i | ||||
\(502\) | 16.4516 | 0.734270 | ||||||||
\(503\) | 7.40268 | + | 21.1707i | 0.330069 | + | 0.943957i | ||||
\(504\) | −21.6214 | −0.963093 | ||||||||
\(505\) | −2.49224 | − | 3.06849i | −0.110903 | − | 0.136546i | ||||
\(506\) | −8.13978 | + | 7.04506i | −0.361857 | + | 0.313191i | ||||
\(507\) | −0.0588746 | + | 0.281016i | −0.00261471 | + | 0.0124804i | ||||
\(508\) | −2.19935 | − | 6.94597i | −0.0975805 | − | 0.308178i | ||||
\(509\) | 13.7418 | + | 2.43290i | 0.609095 | + | 0.107837i | 0.470333 | − | 0.882489i | \(-0.344134\pi\) |
0.138762 | + | 0.990326i | \(0.455688\pi\) | |||||||
\(510\) | −0.447695 | + | 1.29991i | −0.0198243 | + | 0.0575608i | ||||
\(511\) | 17.4314 | − | 8.97813i | 0.771119 | − | 0.397169i | ||||
\(512\) | −1.06831 | + | 7.37068i | −0.0472129 | + | 0.325741i | ||||
\(513\) | −1.79190 | + | 2.72307i | −0.0791142 | + | 0.120227i | ||||
\(514\) | −8.01790 | + | 2.59408i | −0.353654 | + | 0.114420i | ||||
\(515\) | −13.6486 | − | 24.5783i | −0.601427 | − | 1.08305i | ||||
\(516\) | 2.19052 | − | 0.739124i | 0.0964321 | − | 0.0325381i | ||||
\(517\) | −4.63932 | + | 1.69589i | −0.204037 | + | 0.0745850i | ||||
\(518\) | −14.3850 | − | 8.83371i | −0.632040 | − | 0.388131i | ||||
\(519\) | −0.443524 | − | 0.194374i | −0.0194686 | − | 0.00853205i | ||||
\(520\) | −21.1955 | − | 10.5833i | −0.929484 | − | 0.464110i | ||||
\(521\) | 23.3289 | − | 13.9270i | 1.02206 | − | 0.610154i | 0.0991071 | − | 0.995077i | \(-0.468401\pi\) |
0.922949 | + | 0.384923i | \(0.125772\pi\) | |||||||
\(522\) | 9.13843 | + | 20.5022i | 0.399978 | + | 0.897358i | ||||
\(523\) | 27.5412 | − | 2.76696i | 1.20429 | − | 0.120991i | 0.522566 | − | 0.852599i | \(-0.324975\pi\) |
0.681726 | + | 0.731608i | \(0.261230\pi\) | |||||||
\(524\) | 6.12628 | + | 15.2607i | 0.267628 | + | 0.666669i | ||||
\(525\) | 0.220654 | + | 0.143229i | 0.00963015 | + | 0.00625104i | ||||
\(526\) | 5.30608 | − | 18.3407i | 0.231356 | − | 0.799695i | ||||
\(527\) | 4.58823 | − | 11.4294i | 0.199867 | − | 0.497874i | ||||
\(528\) | −0.273999 | + | 0.192851i | −0.0119243 | + | 0.00839278i | ||||
\(529\) | 5.34040 | + | 3.37227i | 0.232191 | + | 0.146620i | ||||
\(530\) | 2.05855 | + | 3.21521i | 0.0894176 | + | 0.139660i | ||||
\(531\) | 0.142111 | + | 0.0848384i | 0.00616709 | + | 0.00368167i | ||||
\(532\) | −0.946580 | + | 7.92326i | −0.0410394 | + | 0.343517i | ||||
\(533\) | −5.84530 | − | 44.2213i | −0.253188 | − | 1.91544i | ||||
\(534\) | −0.0135610 | − | 0.166320i | −0.000586843 | − | 0.00719735i | ||||
\(535\) | −6.05226 | − | 21.9452i | −0.261662 | − | 0.948773i | ||||
\(536\) | 15.9816 | − | 26.3937i | 0.690298 | − | 1.14003i | ||||
\(537\) | −0.153684 | − | 0.690385i | −0.00663197 | − | 0.0297923i | ||||
\(538\) | −2.39125 | − | 0.0598717i | −0.103094 | − | 0.00258125i | ||||
\(539\) | 2.34815 | + | 0.858357i | 0.101142 | + | 0.0369721i | ||||
\(540\) | −1.53882 | − | 1.94384i | −0.0662205 | − | 0.0836497i | ||||
\(541\) | 7.59158 | − | 14.9687i | 0.326387 | − | 0.643555i | −0.668593 | − | 0.743629i | \(-0.733103\pi\) |
0.994980 | + | 0.100074i | \(0.0319078\pi\) | |||||||
\(542\) | −1.33335 | + | 2.26555i | −0.0572722 | + | 0.0973139i | ||||
\(543\) | 1.91831 | + | 1.93036i | 0.0823227 | + | 0.0828395i | ||||
\(544\) | −3.79285 | + | 19.3046i | −0.162617 | + | 0.827678i | ||||
\(545\) | 5.95411 | − | 10.7221i | 0.255046 | − | 0.459286i | ||||
\(546\) | 0.297825 | − | 1.62298i | 0.0127458 | − | 0.0694570i | ||||
\(547\) | 1.87728 | + | 17.5789i | 0.0802668 | + | 0.751620i | 0.960726 | + | 0.277498i | \(0.0895052\pi\) |
−0.880459 | + | 0.474122i | \(0.842766\pi\) | |||||||
\(548\) | −18.0473 | + | 2.96270i | −0.770941 | + | 0.126560i | ||||
\(549\) | 29.9350 | − | 12.6747i | 1.27759 | − | 0.540944i | ||||
\(550\) | −1.53588 | + | 0.0576978i | −0.0654902 | + | 0.00246024i | ||||
\(551\) | 22.5443 | − | 6.98345i | 0.960421 | − | 0.297505i | ||||
\(552\) | −1.73718 | − | 1.35762i | −0.0739392 | − | 0.0577842i | ||||
\(553\) | 24.9321 | + | 7.04422i | 1.06022 | + | 0.299551i | ||||
\(554\) | −12.5533 | + | 3.20974i | −0.533338 | + | 0.136369i | ||||
\(555\) | −0.325249 | − | 2.72247i | −0.0138060 | − | 0.115562i | ||||
\(556\) | −1.13701 | + | 2.55091i | −0.0482201 | + | 0.108183i | ||||
\(557\) | −6.63850 | + | 20.0884i | −0.281282 | + | 0.851174i | 0.708135 | + | 0.706077i | \(0.249537\pi\) |
−0.989417 | + | 0.145097i | \(0.953651\pi\) | |||||||
\(558\) | −5.44346 | − | 7.63201i | −0.230440 | − | 0.323089i | ||||
\(559\) | −6.40241 | − | 44.1729i | −0.270793 | − | 1.86831i | ||||
\(560\) | 3.13071 | + | 1.46650i | 0.132297 | + | 0.0619711i | ||||
\(561\) | −1.58750 | + | 1.00245i | −0.0670242 | + | 0.0423233i | ||||
\(562\) | −10.5506 | + | 25.3592i | −0.445051 | + | 1.06971i | ||||
\(563\) | 0.502344 | − | 0.531466i | 0.0211713 | − | 0.0223986i | −0.716065 | − | 0.698033i | \(-0.754059\pi\) |
0.737236 | + | 0.675635i | \(0.236130\pi\) | |||||||
\(564\) | −0.183923 | − | 0.303750i | −0.00774456 | − | 0.0127902i | ||||
\(565\) | −24.7121 | + | 23.6525i | −1.03964 | + | 0.995070i | ||||
\(566\) | −12.4348 | − | 6.40460i | −0.522673 | − | 0.269206i | ||||
\(567\) | −12.4686 | + | 17.4816i | −0.523631 | + | 0.734158i | ||||
\(568\) | 3.15568 | + | 4.30930i | 0.132409 | + | 0.180814i | ||||
\(569\) | −17.5327 | + | 2.42926i | −0.735008 | + | 0.101840i | −0.494953 | − | 0.868920i | \(-0.664815\pi\) |
−0.240055 | + | 0.970759i | \(0.577165\pi\) | |||||||
\(570\) | 0.937611 | − | 0.575780i | 0.0392722 | − | 0.0241168i | ||||
\(571\) | 23.5855 | − | 29.7933i | 0.987024 | − | 1.24681i | 0.0180014 | − | 0.999838i | \(-0.494270\pi\) |
0.969023 | − | 0.246972i | \(-0.0794355\pi\) | |||||||
\(572\) | −4.75270 | − | 10.3136i | −0.198720 | − | 0.431235i | ||||
\(573\) | 0.635374 | + | 0.823580i | 0.0265431 | + | 0.0344056i | ||||
\(574\) | 4.30624 | + | 27.2991i | 0.179739 | + | 1.13944i | ||||
\(575\) | −0.775662 | − | 2.25218i | −0.0323473 | − | 0.0939223i | ||||
\(576\) | 13.6750 | + | 13.0887i | 0.569793 | + | 0.545363i | ||||
\(577\) | 2.26215 | − | 10.1621i | 0.0941744 | − | 0.423053i | −0.905825 | − | 0.423651i | \(-0.860748\pi\) |
1.00000 | 0.000598295i | \(0.000190443\pi\) | ||||||||
\(578\) | −0.706428 | + | 2.83669i | −0.0293835 | + | 0.117991i | ||||
\(579\) | 1.68455 | − | 0.363942i | 0.0700074 | − | 0.0151249i | ||||
\(580\) | −0.336980 | + | 17.9468i | −0.0139924 | + | 0.745199i | ||||
\(581\) | 29.4738 | − | 4.46042i | 1.22278 | − | 0.185049i | ||||
\(582\) | 0.187300 | + | 3.32192i | 0.00776382 | + | 0.137698i | ||||
\(583\) | −0.553622 | + | 5.18412i | −0.0229287 | + | 0.214704i | ||||
\(584\) | −22.4965 | − | 6.66123i | −0.930913 | − | 0.275643i | ||||
\(585\) | −21.0193 | + | 11.1612i | −0.869042 | + | 0.461458i | ||||
\(586\) | −3.78821 | − | 7.24323i | −0.156489 | − | 0.299215i | ||||
\(587\) | 20.2211 | − | 3.58003i | 0.834614 | − | 0.147763i | 0.259404 | − | 0.965769i | \(-0.416474\pi\) |
0.575210 | + | 0.818005i | \(0.304920\pi\) | |||||||
\(588\) | −0.0280045 | + | 0.177532i | −0.00115489 | + | 0.00732132i | ||||
\(589\) | −8.64684 | + | 4.73111i | −0.356287 | + | 0.194942i | ||||
\(590\) | −0.0629344 | − | 0.0930805i | −0.00259097 | − | 0.00383206i | ||||
\(591\) | 1.62091 | − | 1.63108i | 0.0666752 | − | 0.0670938i | ||||
\(592\) | 1.20735 | + | 4.60176i | 0.0496218 | + | 0.189131i | ||||
\(593\) | 3.85231 | + | 3.41948i | 0.158196 | + | 0.140421i | 0.739217 | − | 0.673467i | \(-0.235196\pi\) |
−0.581022 | + | 0.813888i | \(0.697347\pi\) | |||||||
\(594\) | −0.0179873 | + | 2.87419i | −0.000738030 | + | 0.117929i | ||||
\(595\) | 17.1096 | + | 9.08512i | 0.701425 | + | 0.372454i | ||||
\(596\) | −16.6333 | − | 16.3239i | −0.681326 | − | 0.668654i | ||||
\(597\) | 2.56233 | + | 2.92331i | 0.104869 | + | 0.119643i | ||||
\(598\) | −11.1741 | + | 9.91860i | −0.456943 | + | 0.405602i | ||||
\(599\) | 0.581267 | + | 0.387733i | 0.0237499 | + | 0.0158423i | 0.566738 | − | 0.823898i | \(-0.308205\pi\) |
−0.542988 | + | 0.839740i | \(0.682707\pi\) | |||||||
\(600\) | −0.0722374 | − | 0.306376i | −0.00294908 | − | 0.0125077i | ||||
\(601\) | −0.598477 | − | 31.8735i | −0.0244124 | − | 1.30015i | −0.771846 | − | 0.635809i | \(-0.780667\pi\) |
0.747434 | − | 0.664336i | \(-0.231286\pi\) | |||||||
\(602\) | 4.65055 | + | 27.2605i | 0.189542 | + | 1.11106i | ||||
\(603\) | −12.2636 | − | 28.4665i | −0.499412 | − | 1.15924i | ||||
\(604\) | 14.3741 | − | 5.66614i | 0.584873 | − | 0.230552i | ||||
\(605\) | −5.79913 | − | 4.30268i | −0.235768 | − | 0.174929i | ||||
\(606\) | −0.322873 | + | 0.0655373i | −0.0131158 | + | 0.00266227i | ||||
\(607\) | 9.32061 | − | 9.61692i | 0.378312 | − | 0.390339i | −0.501895 | − | 0.864928i | \(-0.667364\pi\) |
0.880207 | + | 0.474590i | \(0.157404\pi\) | |||||||
\(608\) | 12.1592 | − | 10.0027i | 0.493123 | − | 0.405665i | ||||
\(609\) | −3.43948 | + | 0.925452i | −0.139375 | + | 0.0375012i | ||||
\(610\) | −22.0532 | − | 0.828461i | −0.892906 | − | 0.0335434i | ||||
\(611\) | −6.40904 | + | 2.43416i | −0.259282 | + | 0.0984755i | ||||
\(612\) | 8.23275 | + | 8.71002i | 0.332789 | + | 0.352082i | ||||
\(613\) | −0.0574517 | + | 0.208317i | −0.00232045 | + | 0.00841384i | −0.965161 | − | 0.261655i | \(-0.915732\pi\) |
0.962841 | + | 0.270069i | \(0.0870465\pi\) | |||||||
\(614\) | −5.14345 | − | 0.977164i | −0.207573 | − | 0.0394351i | ||||
\(615\) | −3.04237 | + | 3.30053i | −0.122680 | + | 0.133090i | ||||
\(616\) | 8.84219 | + | 17.9893i | 0.356262 | + | 0.724808i | ||||
\(617\) | 2.01891 | + | 8.10702i | 0.0812783 | + | 0.326376i | 0.997182 | − | 0.0750222i | \(-0.0239028\pi\) |
−0.915904 | + | 0.401398i | \(0.868524\pi\) | |||||||
\(618\) | −2.34231 | + | 0.0586464i | −0.0942215 | + | 0.00235910i | ||||
\(619\) | −15.1080 | − | 5.09773i | −0.607240 | − | 0.204895i | −0.000768188 | − | 1.00000i | \(-0.500245\pi\) |
−0.606472 | + | 0.795105i | \(0.707416\pi\) | |||||||
\(620\) | −1.35304 | − | 7.37329i | −0.0543394 | − | 0.296119i | ||||
\(621\) | −4.27123 | + | 1.26471i | −0.171399 | + | 0.0507511i | ||||
\(622\) | −7.42356 | + | 7.28548i | −0.297658 | + | 0.292121i | ||||
\(623\) | −2.34466 | − | 0.176411i | −0.0939369 | − | 0.00706775i | ||||
\(624\) | −0.376908 | + | 0.272401i | −0.0150884 | + | 0.0109048i | ||||
\(625\) | −7.33737 | + | 20.4687i | −0.293495 | + | 0.818748i | ||||
\(626\) | 7.43796 | + | 13.0080i | 0.297281 | + | 0.519902i | ||||
\(627\) | 1.49082 | + | 0.187577i | 0.0595378 | + | 0.00749109i | ||||
\(628\) | 14.2718 | + | 10.8686i | 0.569507 | + | 0.433704i | ||||
\(629\) | 5.46644 | + | 26.0920i | 0.217961 | + | 1.04036i | ||||
\(630\) | 12.8459 | − | 7.23898i | 0.511792 | − | 0.288408i | ||||
\(631\) | 21.4346 | − | 1.34316i | 0.853297 | − | 0.0534704i | 0.370110 | − | 0.928988i | \(-0.379320\pi\) |
0.483187 | + | 0.875517i | \(0.339479\pi\) | |||||||
\(632\) | −15.7240 | − | 26.7174i | −0.625467 | − | 1.06276i | ||||
\(633\) | −0.175404 | + | 0.668544i | −0.00697169 | + | 0.0265723i | ||||
\(634\) | 10.0614 | − | 6.71145i | 0.399590 | − | 0.266546i | ||||
\(635\) | 10.3481 | + | 9.65917i | 0.410651 | + | 0.383313i | ||||
\(636\) | −0.373356 | + | 0.0327952i | −0.0148045 | + | 0.00130041i | ||||
\(637\) | 3.27370 | + | 1.15045i | 0.129709 | + | 0.0455824i | ||||
\(638\) | 13.3209 | − | 15.9878i | 0.527380 | − | 0.632963i | ||||
\(639\) | 5.36512 | − | 0.0671550i | 0.212241 | − | 0.00265661i | ||||
\(640\) | 3.35278 | + | 8.66400i | 0.132530 | + | 0.342475i | ||||
\(641\) | 10.1917 | − | 20.7348i | 0.402548 | − | 0.818977i | −0.597308 | − | 0.802012i | \(-0.703763\pi\) |
0.999856 | − | 0.0169649i | \(-0.00540035\pi\) | |||||||
\(642\) | −1.85445 | − | 0.400649i | −0.0731893 | − | 0.0158124i | ||||
\(643\) | −9.05129 | + | 38.3886i | −0.356948 | + | 1.51390i | 0.433378 | + | 0.901212i | \(0.357321\pi\) |
−0.790326 | + | 0.612686i | \(0.790089\pi\) | |||||||
\(644\) | −7.97130 | + | 7.44062i | −0.314113 | + | 0.293201i | ||||
\(645\) | −3.00274 | + | 3.34048i | −0.118233 | + | 0.131531i | ||||
\(646\) | −8.59147 | + | 6.37448i | −0.338027 | + | 0.250800i | ||||
\(647\) | 21.5813 | − | 34.6552i | 0.848449 | − | 1.36244i | −0.0822356 | − | 0.996613i | \(-0.526206\pi\) |
0.930685 | − | 0.365823i | \(-0.119212\pi\) | |||||||
\(648\) | 25.2421 | − | 4.79554i | 0.991602 | − | 0.188386i | ||||
\(649\) | 0.0124696 | − | 0.152933i | 0.000489473 | − | 0.00600316i | ||||
\(650\) | −2.13051 | + | 0.106754i | −0.0835655 | + | 0.00418722i | ||||
\(651\) | 1.33083 | − | 0.664512i | 0.0521595 | − | 0.0260443i | ||||
\(652\) | −14.1583 | + | 22.1137i | −0.554483 | + | 0.866039i | ||||
\(653\) | 11.2506 | − | 5.27006i | 0.440269 | − | 0.206233i | −0.191335 | − | 0.981525i | \(-0.561282\pi\) |
0.631604 | + | 0.775292i | \(0.282397\pi\) | |||||||
\(654\) | −0.561873 | − | 0.853855i | −0.0219710 | − | 0.0333884i | ||||
\(655\) | −24.9259 | − | 19.9874i | −0.973937 | − | 0.780972i | ||||
\(656\) | 4.44305 | − | 6.39726i | 0.173472 | − | 0.249771i | ||||
\(657\) | −18.5706 | + | 14.5131i | −0.724507 | + | 0.566209i | ||||
\(658\) | 3.93188 | − | 1.60706i | 0.153281 | − | 0.0626497i | ||||
\(659\) | −19.6821 | − | 17.9161i | −0.766707 | − | 0.697913i | 0.192287 | − | 0.981339i | \(-0.438410\pi\) |
−0.958994 | + | 0.283426i | \(0.908529\pi\) | |||||||
\(660\) | −0.491230 | + | 1.03182i | −0.0191211 | + | 0.0401637i | ||||
\(661\) | −3.33189 | + | 3.03293i | −0.129595 | + | 0.117967i | −0.735360 | − | 0.677677i | \(-0.762987\pi\) |
0.605765 | + | 0.795644i | \(0.292867\pi\) | |||||||
\(662\) | −6.39454 | − | 21.1097i | −0.248531 | − | 0.820451i | ||||
\(663\) | −2.18573 | + | 1.41878i | −0.0848868 | + | 0.0551009i | ||||
\(664\) | −29.1686 | − | 20.5300i | −1.13196 | − | 0.796719i | ||||
\(665\) | −5.95535 | − | 14.3141i | −0.230939 | − | 0.555077i | ||||
\(666\) | 18.9692 | + | 7.20450i | 0.735040 | + | 0.279169i | ||||
\(667\) | 29.6991 | + | 12.5749i | 1.14995 | + | 0.486901i | ||||
\(668\) | 18.0782 | + | 4.38209i | 0.699466 | + | 0.169548i | ||||
\(669\) | −0.175808 | + | 0.408089i | −0.00679713 | + | 0.0157776i | ||||
\(670\) | −0.658320 | + | 21.0319i | −0.0254331 | + | 0.812535i | ||||
\(671\) | −22.7876 | − | 19.7229i | −0.879706 | − | 0.761394i | ||||
\(672\) | −1.89041 | + | 1.43963i | −0.0729241 | + | 0.0555348i | ||||
\(673\) | 34.6270 | − | 20.0883i | 1.33477 | − | 0.774348i | 0.348160 | − | 0.937435i | \(-0.386807\pi\) |
0.986612 | + | 0.163088i | \(0.0521453\pi\) | |||||||
\(674\) | −21.3265 | + | 6.02549i | −0.821464 | + | 0.232093i | ||||
\(675\) | −0.588708 | − | 0.240620i | −0.0226594 | − | 0.00926146i | ||||
\(676\) | −0.730395 | − | 1.53419i | −0.0280921 | − | 0.0590072i | ||||
\(677\) | −7.66532 | + | 25.3048i | −0.294602 | + | 0.972542i | 0.677012 | + | 0.735972i | \(0.263274\pi\) |
−0.971614 | + | 0.236570i | \(0.923977\pi\) | |||||||
\(678\) | 0.792289 | + | 2.73859i | 0.0304277 | + | 0.105175i | ||||
\(679\) | 46.6467 | + | 4.68643i | 1.79014 | + | 0.179849i | ||||
\(680\) | −7.27334 | − | 22.0095i | −0.278920 | − | 0.844025i | ||||
\(681\) | −0.787108 | + | 1.07485i | −0.0301620 | + | 0.0411884i | ||||
\(682\) | −4.12380 | + | 7.65018i | −0.157908 | + | 0.292941i | ||||
\(683\) | −0.141773 | + | 3.23424i | −0.00542481 | + | 0.123755i | 0.994410 | + | 0.105586i | \(0.0336720\pi\) |
−0.999835 | + | 0.0181684i | \(0.994216\pi\) | |||||||
\(684\) | −0.659769 | − | 9.56900i | −0.0252269 | − | 0.365880i | ||||
\(685\) | 27.7215 | − | 22.2291i | 1.05918 | − | 0.849329i | ||||
\(686\) | −17.7968 | − | 5.75791i | −0.679485 | − | 0.219838i | ||||
\(687\) | −0.188794 | − | 0.960913i | −0.00720295 | − | 0.0366611i | ||||
\(688\) | 4.36542 | − | 6.45650i | 0.166430 | − | 0.246152i | ||||
\(689\) | −0.678268 | + | 7.20419i | −0.0258399 | + | 0.274458i | ||||
\(690\) | 1.48665 | + | 0.224982i | 0.0565956 | + | 0.00856492i | ||||
\(691\) | −5.02025 | + | 29.4276i | −0.190979 | + | 1.11948i | 0.715936 | + | 0.698166i | \(0.246000\pi\) |
−0.906916 | + | 0.421312i | \(0.861570\pi\) | |||||||
\(692\) | 2.78515 | − | 0.675110i | 0.105875 | − | 0.0256638i | ||||
\(693\) | 19.8703 | + | 3.26197i | 0.754810 | + | 0.123912i | ||||
\(694\) | 0.739505 | − | 13.1157i | 0.0280712 | − | 0.497867i | ||||
\(695\) | −0.508620 | − | 5.40229i | −0.0192931 | − | 0.204921i | ||||
\(696\) | 3.73890 | + | 2.04574i | 0.141723 | + | 0.0775435i | ||||
\(697\) | 26.6592 | − | 34.5560i | 1.00979 | − | 1.30890i | ||||
\(698\) | 30.5385 | + | 6.99893i | 1.15590 | + | 0.264914i | ||||
\(699\) | 2.66832 | − | 2.25166i | 0.100925 | − | 0.0851658i | ||||
\(700\) | −1.55245 | + | 0.116805i | −0.0586769 | + | 0.00441481i | ||||
\(701\) | −13.8795 | + | 15.8348i | −0.524221 | + | 0.598073i | −0.952109 | − | 0.305758i | \(-0.901090\pi\) |
0.427889 | + | 0.903831i | \(0.359257\pi\) | |||||||
\(702\) | 0.0249650 | + | 3.98914i | 0.000942242 | + | 0.150560i | ||||
\(703\) | 9.88752 | − | 18.9054i | 0.372915 | − | 0.713031i | ||||
\(704\) | 5.29750 | − | 16.7305i | 0.199657 | − | 0.630554i | ||||
\(705\) | 0.601046 | + | 0.338705i | 0.0226367 | + | 0.0127564i | ||||
\(706\) | 7.84924 | + | 3.79730i | 0.295410 | + | 0.142913i | ||||
\(707\) | 0.203296 | + | 4.63774i | 0.00764573 | + | 0.174420i | ||||
\(708\) | 0.0109606 | − | 0.00123992i | 0.000411924 | − | 4.65992e-5i | ||||
\(709\) | −27.1190 | − | 22.3093i | −1.01847 | − | 0.837842i | −0.0316269 | − | 0.999500i | \(-0.510069\pi\) |
−0.986847 | + | 0.161658i | \(0.948316\pi\) | |||||||
\(710\) | −3.31766 | − | 1.50373i | −0.124510 | − | 0.0564341i | ||||
\(711\) | −31.0229 | − | 2.72502i | −1.16345 | − | 0.102196i | ||||
\(712\) | 1.88085 | + | 2.09240i | 0.0704878 | + | 0.0784161i | ||||
\(713\) | −13.2000 | − | 2.67936i | −0.494344 | − | 0.100343i | ||||
\(714\) | 1.33180 | − | 0.912662i | 0.0498412 | − | 0.0341555i | ||||
\(715\) | 17.8822 | + | 12.9239i | 0.668757 | + | 0.483327i | ||||
\(716\) | 3.19898 | + | 2.69946i | 0.119551 | + | 0.100883i | ||||
\(717\) | 0.959302 | + | 1.27617i | 0.0358258 | + | 0.0476595i | ||||
\(718\) | 13.2204 | − | 1.66340i | 0.493380 | − | 0.0620774i | ||||
\(719\) | −6.20556 | − | 3.60007i | −0.231429 | − | 0.134260i | 0.381581 | − | 0.924336i | \(-0.375380\pi\) |
−0.613009 | + | 0.790076i | \(0.710041\pi\) | |||||||
\(720\) | −4.02608 | − | 1.02943i | −0.150043 | − | 0.0383645i | ||||
\(721\) | −4.32632 | + | 32.7298i | −0.161121 | + | 1.21892i | ||||
\(722\) | −9.63360 | − | 0.482712i | −0.358525 | − | 0.0179647i | ||||
\(723\) | −0.153606 | + | 0.0673174i | −0.00571266 | + | 0.00250356i | ||||
\(724\) | −15.9532 | − | 2.21041i | −0.592897 | − | 0.0821494i | ||||
\(725\) | 2.18489 | + | 4.05325i | 0.0811447 | + | 0.150534i | ||||
\(726\) | −0.541747 | + | 0.262086i | −0.0201061 | + | 0.00972692i | ||||
\(727\) | 31.0723 | + | 1.94709i | 1.15241 | + | 0.0722137i | 0.627268 | − | 0.778803i | \(-0.284173\pi\) |
0.525138 | + | 0.851017i | \(0.324014\pi\) | |||||||
\(728\) | 12.5838 | + | 24.8121i | 0.466386 | + | 0.919597i | ||||
\(729\) | 10.5519 | − | 22.8984i | 0.390813 | − | 0.848087i | ||||
\(730\) | 15.5960 | − | 3.57437i | 0.577235 | − | 0.132293i | ||||
\(731\) | 26.2414 | − | 34.9092i | 0.970572 | − | 1.29117i | ||||
\(732\) | 1.07542 | − | 1.88076i | 0.0397486 | − | 0.0695148i | ||||
\(733\) | 27.1709 | + | 31.7929i | 1.00358 | + | 1.17430i | 0.984661 | + | 0.174476i | \(0.0558233\pi\) |
0.0189190 | + | 0.999821i | \(0.493978\pi\) | |||||||
\(734\) | −8.41637 | − | 10.1014i | −0.310654 | − | 0.372848i | ||||
\(735\) | −0.121937 | − | 0.327210i | −0.00449772 | − | 0.0120693i | ||||
\(736\) | 21.5141 | + | 0.269291i | 0.793021 | + | 0.00992621i | ||||
\(737\) | −18.6692 | + | 21.8450i | −0.687689 | + | 0.804670i | ||||
\(738\) | −11.2099 | − | 31.2716i | −0.412640 | − | 1.15112i | ||||
\(739\) | 23.5094 | + | 16.1107i | 0.864809 | + | 0.592642i | 0.913803 | − | 0.406157i | \(-0.133132\pi\) |
−0.0489944 | + | 0.998799i | \(0.515602\pi\) | |||||||
\(740\) | 11.2928 | + | 11.6518i | 0.415132 | + | 0.428330i | ||||
\(741\) | 2.07224 | + | 0.234423i | 0.0761256 | + | 0.00861176i | ||||
\(742\) | 0.308383 | − | 4.47265i | 0.0113211 | − | 0.164196i | ||||
\(743\) | 9.10762 | + | 13.1135i | 0.334126 | + | 0.481087i | 0.952390 | − | 0.304884i | \(-0.0986177\pi\) |
−0.618263 | + | 0.785971i | \(0.712163\pi\) | |||||||
\(744\) | −1.70022 | − | 0.526668i | −0.0623330 | − | 0.0193086i | ||||
\(745\) | 43.7246 | + | 11.7649i | 1.60195 | + | 0.431032i | ||||
\(746\) | 4.57454 | − | 2.07341i | 0.167486 | − | 0.0759131i | ||||
\(747\) | −33.8050 | + | 11.8798i | −1.23686 | + | 0.434659i | ||||
\(748\) | 3.88002 | − | 10.4118i | 0.141867 | − | 0.380692i | ||||
\(749\) | −9.64784 | + | 24.9312i | −0.352524 | + | 0.910966i | ||||
\(750\) | 1.39295 | + | 1.51115i | 0.0508633 | + | 0.0551793i | ||||
\(751\) | −22.6120 | − | 36.3103i | −0.825125 | − | 1.32498i | −0.943284 | − | 0.331987i | \(-0.892281\pi\) |
0.118159 | − | 0.992995i | \(-0.462301\pi\) | |||||||
\(752\) | −1.11370 | − | 0.439012i | −0.0406125 | − | 0.0160091i | ||||
\(753\) | −0.0981718 | − | 3.13638i | −0.00357758 | − | 0.114296i | ||||
\(754\) | 18.2092 | − | 22.4194i | 0.663139 | − | 0.816468i | ||||
\(755\) | −18.9255 | + | 23.3014i | −0.688769 | + | 0.848024i | ||||
\(756\) | 0.0910850 | + | 2.90997i | 0.00331273 | + | 0.105835i | ||||
\(757\) | −5.57797 | − | 2.19879i | −0.202735 | − | 0.0799164i | 0.263177 | − | 0.964748i | \(-0.415230\pi\) |
−0.465912 | + | 0.884831i | \(0.654274\pi\) | |||||||
\(758\) | 4.10857 | + | 6.59753i | 0.149230 | + | 0.239633i | ||||
\(759\) | 1.39166 | + | 1.50975i | 0.0505142 | + | 0.0548006i | ||||
\(760\) | −6.69508 | + | 17.3009i | −0.242856 | + | 0.627569i | ||||
\(761\) | 3.46139 | − | 9.28840i | 0.125475 | − | 0.336704i | −0.859064 | − | 0.511868i | \(-0.828954\pi\) |
0.984539 | + | 0.175163i | \(0.0560454\pi\) | |||||||
\(762\) | 1.11303 | − | 0.391143i | 0.0403209 | − | 0.0141696i | ||||
\(763\) | −13.1178 | + | 5.94567i | −0.474897 | + | 0.215248i | ||||
\(764\) | −5.94446 | − | 1.59946i | −0.215063 | − | 0.0578664i | ||||
\(765\) | −22.2431 | − | 6.89013i | −0.804200 | − | 0.249113i | ||||
\(766\) | 4.31217 | + | 6.20882i | 0.155805 | + | 0.224334i | ||||
\(767\) | 0.0146488 | − | 0.212459i | 0.000528936 | − | 0.00767145i | ||||
\(768\) | 3.08713 | + | 0.349234i | 0.111397 | + | 0.0126019i | ||||
\(769\) | −23.4958 | − | 24.2427i | −0.847280 | − | 0.874216i | 0.146079 | − | 0.989273i | \(-0.453335\pi\) |
−0.993359 | + | 0.115057i | \(0.963295\pi\) | |||||||
\(770\) | −11.2763 | − | 7.72751i | −0.406370 | − | 0.278480i | ||||
\(771\) | 0.542389 | + | 1.51308i | 0.0195337 | + | 0.0544922i | ||||
\(772\) | −6.62633 | + | 7.75352i | −0.238487 | + | 0.279055i | ||||
\(773\) | 35.6012 | + | 0.445619i | 1.28049 | + | 0.0160278i | 0.649857 | − | 0.760057i | \(-0.274829\pi\) |
0.630629 | + | 0.776084i | \(0.282797\pi\) | |||||||
\(774\) | −11.6078 | − | 31.1487i | −0.417233 | − | 1.11962i | ||||
\(775\) | −1.23097 | − | 1.47741i | −0.0442176 | − | 0.0530702i | ||||
\(776\) | −36.4456 | − | 42.6453i | −1.30832 | − | 1.53088i | ||||
\(777\) | −1.59825 | + | 2.79511i | −0.0573368 | + | 0.100274i | ||||
\(778\) | 9.03261 | − | 12.0162i | 0.323835 | − | 0.430802i | ||||
\(779\) | −34.0460 | + | 7.80281i | −1.21982 | + | 0.279565i | ||||
\(780\) | −0.663811 | + | 1.44051i | −0.0237682 | + | 0.0515785i | ||||
\(781\) | −2.24997 | − | 4.43639i | −0.0805103 | − | 0.158746i | ||||
\(782\) | −14.5905 | − | 0.914288i | −0.521754 | − | 0.0326949i | ||||
\(783\) | 7.75156 | − | 3.75004i | 0.277018 | − | 0.134016i | ||||
\(784\) | 0.287500 | + | 0.533351i | 0.0102679 | + | 0.0190482i | ||||
\(785\) | −34.5239 | − | 4.78350i | −1.23221 | − | 0.170730i | ||||
\(786\) | −2.43885 | + | 1.06882i | −0.0869908 | + | 0.0381235i | ||||
\(787\) | 30.2963 | + | 1.51806i | 1.07995 | + | 0.0541130i | 0.582073 | − | 0.813136i | \(-0.302242\pi\) |
0.497874 | + | 0.867249i | \(0.334114\pi\) | |||||||
\(788\) | −1.78333 | + | 13.4913i | −0.0635284 | + | 0.480609i | ||||
\(789\) | −3.52820 | − | 0.902123i | −0.125607 | − | 0.0321164i | ||||
\(790\) | 18.2872 | + | 10.6091i | 0.650630 | + | 0.377453i | ||||
\(791\) | 39.8560 | − | 5.01471i | 1.41712 | − | 0.178303i | ||||
\(792\) | −14.4777 | − | 19.2599i | −0.514443 | − | 0.684370i | ||||
\(793\) | −31.9675 | − | 26.9758i | −1.13520 | − | 0.957938i | ||||
\(794\) | −2.26479 | − | 1.63682i | −0.0803743 | − | 0.0580885i | ||||
\(795\) | 0.600674 | − | 0.411634i | 0.0213037 | − | 0.0145992i | ||||
\(796\) | −22.5457 | − | 4.57635i | −0.799109 | − | 0.162205i | ||||
\(797\) | 10.8955 | + | 12.1210i | 0.385937 | + | 0.429347i | 0.905015 | − | 0.425381i | \(-0.139860\pi\) |
−0.519077 | + | 0.854727i | \(0.673724\pi\) | |||||||
\(798\) | −1.28714 | − | 0.113061i | −0.0455642 | − | 0.00400232i | ||||
\(799\) | −6.10965 | − | 2.76921i | −0.216144 | − | 0.0979675i | ||||
\(800\) | 2.37229 | + | 1.95155i | 0.0838730 | + | 0.0689977i | ||||
\(801\) | 2.80840 | − | 0.317703i | 0.0992301 | − | 0.0112255i | ||||
\(802\) | 1.26671 | + | 28.8972i | 0.0447291 | + | 1.02039i | ||||
\(803\) | 19.6696 | + | 9.51575i | 0.694125 | + | 0.335803i | ||||
\(804\) | −1.79966 | − | 1.01416i | −0.0634692 | − | 0.0357665i | ||||
\(805\) | 6.39533 | − | 20.1976i | 0.225406 | − | 0.711874i | ||||
\(806\) | −5.59016 | + | 10.6886i | −0.196905 | + | 0.376491i | ||||
\(807\) | 0.00285521 | + | 0.456232i | 0.000100508 | + | 0.0160601i | ||||
\(808\) | 3.66140 | − | 4.17722i | 0.128808 | − | 0.146954i | ||||
\(809\) | 8.24558 | − | 0.620392i | 0.289899 | − | 0.0218118i | 0.0707192 | − | 0.997496i | \(-0.477471\pi\) |
0.219180 | + | 0.975684i | \(0.429662\pi\) | |||||||
\(810\) | −13.3914 | + | 11.3004i | −0.470527 | + | 0.397054i | ||||
\(811\) | −10.5968 | − | 2.42861i | −0.372102 | − | 0.0852800i | 0.0332341 | − | 0.999448i | \(-0.489419\pi\) |
−0.405336 | + | 0.914168i | \(0.632846\pi\) | |||||||
\(812\) | 12.8757 | − | 16.6896i | 0.451847 | − | 0.585690i | ||||
\(813\) | 0.439869 | + | 0.240674i | 0.0154269 | + | 0.00844081i | ||||
\(814\) | −1.76331 | − | 18.7289i | −0.0618039 | − | 0.656448i | ||||
\(815\) | 2.87189 | − | 50.9353i | 0.100598 | − | 1.78419i | ||||
\(816\) | −0.449005 | − | 0.0737101i | −0.0157183 | − | 0.00258037i | ||||
\(817\) | −33.9674 | + | 8.23358i | −1.18837 | + | 0.288056i | ||||
\(818\) | 3.22323 | − | 18.8938i | 0.112698 | − | 0.660607i | ||||
\(819\) | 27.6329 | + | 4.18183i | 0.965571 | + | 0.146125i | ||||
\(820\) | 2.49007 | − | 26.4482i | 0.0869569 | − | 0.923610i | ||||
\(821\) | 3.11499 | − | 4.60709i | 0.108714 | − | 0.160789i | −0.770148 | − | 0.637865i | \(-0.779818\pi\) |
0.878862 | + | 0.477077i | \(0.158304\pi\) | |||||||
\(822\) | −0.570925 | − | 2.90586i | −0.0199133 | − | 0.101353i | ||||
\(823\) | −13.8767 | − | 4.48963i | −0.483712 | − | 0.156499i | 0.0558588 | − | 0.998439i | \(-0.482210\pi\) |
−0.539571 | + | 0.841940i | \(0.681414\pi\) | |||||||
\(824\) | 30.8195 | − | 24.7133i | 1.07365 | − | 0.860927i | ||||
\(825\) | 0.0201648 | + | 0.292461i | 0.000702048 | + | 0.0101822i | ||||
\(826\) | −0.00577835 | + | 0.131820i | −0.000201054 | + | 0.00458661i | ||||
\(827\) | 10.3243 | − | 19.1529i | 0.359011 | − | 0.666013i | −0.635331 | − | 0.772240i | \(-0.719136\pi\) |
0.994342 | + | 0.106227i | \(0.0338772\pi\) | |||||||
\(828\) | 7.74405 | − | 10.5750i | 0.269124 | − | 0.367508i | ||||
\(829\) | 14.9453 | + | 45.2251i | 0.519071 | + | 1.57073i | 0.793150 | + | 0.609026i | \(0.208440\pi\) |
−0.274079 | + | 0.961707i | \(0.588373\pi\) | |||||||
\(830\) | 24.2034 | + | 2.43163i | 0.840113 | + | 0.0844032i | ||||
\(831\) | 0.686825 | + | 2.37404i | 0.0238257 | + | 0.0823547i | ||||
\(832\) | 7.06129 | − | 23.3108i | 0.244806 | − | 0.808156i | ||||
\(833\) | 1.45942 | + | 3.06549i | 0.0505658 | + | 0.106213i | ||||
\(834\) | −0.418612 | − | 0.171097i | −0.0144954 | − | 0.00592462i | ||||
\(835\) | −34.7796 | + | 9.82649i | −1.20360 | + | 0.340060i | ||||
\(836\) | −7.69171 | + | 4.46223i | −0.266023 | + | 0.154330i | ||||
\(837\) | −2.86103 | + | 2.17880i | −0.0988918 | + | 0.0753104i | ||||
\(838\) | 21.2439 | + | 18.3868i | 0.733859 | + | 0.635162i | ||||
\(839\) | −1.69250 | + | 54.0719i | −0.0584317 | + | 1.86677i | 0.328296 | + | 0.944575i | \(0.393526\pi\) |
−0.386727 | + | 0.922194i | \(0.626395\pi\) | |||||||
\(840\) | 1.10770 | − | 2.57122i | 0.0382194 | − | 0.0887155i | ||||
\(841\) | −32.4067 | − | 7.85527i | −1.11747 | − | 0.270871i | ||||
\(842\) | 10.3475 | + | 4.38123i | 0.356600 | + | 0.150987i | ||||
\(843\) | 4.89751 | + | 1.86008i | 0.168679 | + | 0.0640645i | ||||
\(844\) | −1.57124 | − | 3.77658i | −0.0540843 | − | 0.129995i | ||||
\(845\) | 2.69967 | + | 1.90014i | 0.0928715 | + | 0.0653667i | ||||
\(846\) | −4.28264 | + | 2.77991i | −0.147240 | + | 0.0955753i | ||||
\(847\) | 2.45838 | + | 8.11562i | 0.0844709 | + | 0.278856i | ||||
\(848\) | −0.934376 | + | 0.850537i | −0.0320866 | + | 0.0292076i | ||||
\(849\) | −1.14679 | + | 2.40882i | −0.0393578 | + | 0.0826706i | ||||
\(850\) | −1.54349 | − | 1.40500i | −0.0529414 | − | 0.0481911i | ||||
\(851\) | 26.9875 | − | 11.0305i | 0.925118 | − | 0.378119i | ||||
\(852\) | 0.281756 | − | 0.220195i | 0.00965280 | − | 0.00754376i | ||||
\(853\) | −8.38779 | + | 12.0770i | −0.287192 | + | 0.413510i | −0.938487 | − | 0.345315i | \(-0.887772\pi\) |
0.651294 | + | 0.758825i | \(0.274226\pi\) | |||||||
\(854\) | 20.2184 | + | 16.2125i | 0.691858 | + | 0.554781i | ||||
\(855\) | 10.2441 | + | 15.5675i | 0.350341 | + | 0.532398i | ||||
\(856\) | 28.9673 | − | 13.5690i | 0.990081 | − | 0.463780i | ||||
\(857\) | −28.6467 | + | 44.7429i | −0.978554 | + | 1.52839i | −0.135347 | + | 0.990798i | \(0.543215\pi\) |
−0.843206 | + | 0.537590i | \(0.819335\pi\) | |||||||
\(858\) | 1.64514 | − | 0.821451i | 0.0561641 | − | 0.0280439i | ||||
\(859\) | −18.1304 | + | 0.908461i | −0.618601 | + | 0.0309963i | −0.356885 | − | 0.934148i | \(-0.616161\pi\) |
−0.261716 | + | 0.965145i | \(0.584289\pi\) | |||||||
\(860\) | 2.16023 | − | 26.4942i | 0.0736632 | − | 0.903444i | ||||
\(861\) | 5.17869 | − | 0.983858i | 0.176489 | − | 0.0335298i | ||||
\(862\) | 0.584098 | − | 0.937941i | 0.0198944 | − | 0.0319464i | ||||
\(863\) | −8.63082 | + | 6.40367i | −0.293796 | + | 0.217983i | −0.732702 | − | 0.680550i | \(-0.761741\pi\) |
0.438905 | + | 0.898533i | \(0.355366\pi\) | |||||||
\(864\) | 3.84033 | − | 4.27228i | 0.130651 | − | 0.145346i | ||||
\(865\) | −4.07029 | + | 3.79932i | −0.138394 | + | 0.129181i | ||||
\(866\) | 1.20129 | − | 5.09494i | 0.0408215 | − | 0.173133i | ||||
\(867\) | 0.545011 | + | 0.117748i | 0.0185095 | + | 0.00399894i | ||||
\(868\) | −3.88326 | + | 7.90042i | −0.131806 | + | 0.268158i | ||||
\(869\) | 10.4197 | + | 26.9258i | 0.353465 | + | 0.913396i | ||||
\(870\) | −2.90631 | + | 0.0363782i | −0.0985331 | + | 0.00123334i | ||||
\(871\) | −25.5298 | + | 30.6410i | −0.865045 | + | 1.03823i | ||||
\(872\) | 16.2588 | + | 5.71368i | 0.550592 | + | 0.193490i | ||||
\(873\) | −56.1368 | + | 4.93100i | −1.89994 | + | 0.166889i | ||||
\(874\) | 8.55274 | + | 7.98334i | 0.289301 | + | 0.270041i | ||||
\(875\) | 24.0909 | − | 16.0697i | 0.814420 | − | 0.543257i | ||||
\(876\) | −0.398629 | + | 1.51936i | −0.0134684 | + | 0.0513343i | ||||
\(877\) | 28.8511 | + | 49.0224i | 0.974234 | + | 1.65537i | 0.727280 | + | 0.686341i | \(0.240784\pi\) |
0.246954 | + | 0.969027i | \(0.420570\pi\) | |||||||
\(878\) | 27.3472 | − | 1.71366i | 0.922922 | − | 0.0578334i | ||||
\(879\) | −1.35827 | + | 0.765418i | −0.0458132 | + | 0.0258169i | ||||
\(880\) | 0.789994 | + | 3.77074i | 0.0266307 | + | 0.127112i | ||||
\(881\) | −17.4424 | − | 13.2832i | −0.587650 | − | 0.447521i | 0.269202 | − | 0.963084i | \(-0.413240\pi\) |
−0.856852 | + | 0.515563i | \(0.827583\pi\) | |||||||
\(882\) | 2.56402 | + | 0.322608i | 0.0863352 | + | 0.0108628i | ||||
\(883\) | −0.940164 | − | 1.64422i | −0.0316390 | − | 0.0553323i | 0.851843 | − | 0.523796i | \(-0.175485\pi\) |
−0.883482 | + | 0.468464i | \(0.844807\pi\) | |||||||
\(884\) | 5.20386 | − | 14.5170i | 0.175025 | − | 0.488258i | ||||
\(885\) | −0.0173696 | + | 0.0125534i | −0.000583873 | + | 0.000421980i | ||||
\(886\) | 38.2159 | + | 2.87534i | 1.28389 | + | 0.0965989i | ||||
\(887\) | 15.2880 | − | 15.0036i | 0.513319 | − | 0.503771i | −0.396920 | − | 0.917853i | \(-0.629921\pi\) |
0.910240 | + | 0.414082i | \(0.135897\pi\) | |||||||
\(888\) | 3.69418 | − | 1.09385i | 0.123968 | − | 0.0367071i | ||||
\(889\) | −3.00037 | − | 16.3503i | −0.100629 | − | 0.548371i | ||||
\(890\) | −1.81802 | − | 0.613434i | −0.0609400 | − | 0.0205624i | ||||
\(891\) | −23.9212 | + | 0.598936i | −0.801391 | + | 0.0200651i | ||||
\(892\) | −0.635467 | − | 2.55174i | −0.0212770 | − | 0.0854386i | ||||
\(893\) | 2.36809 | + | 4.81785i | 0.0792453 | + | 0.161223i | ||||
\(894\) | 2.55769 | − | 2.77472i | 0.0855419 | − | 0.0928005i | ||||
\(895\) | −7.98957 | − | 1.51787i | −0.267062 | − | 0.0507370i | ||||
\(896\) | 2.90047 | − | 10.5170i | 0.0968979 | − | 0.351347i | ||||
\(897\) | 1.95759 | + | 2.07108i | 0.0653621 | + | 0.0691512i | ||||
\(898\) | −18.4473 | + | 7.00628i | −0.615593 | + | 0.233803i | ||||
\(899\) | 26.0188 | + | 0.977436i | 0.867775 | + | 0.0325993i | ||||
\(900\) | 1.80709 | − | 0.486228i | 0.0602362 | − | 0.0162076i | ||||
\(901\) | −5.46769 | + | 4.49796i | −0.182155 | + | 0.149849i | ||||
\(902\) | −21.4340 | + | 22.1154i | −0.713675 | + | 0.736363i | ||||
\(903\) | 5.16928 | − | 1.04927i | 0.172023 | − | 0.0349175i | ||||
\(904\) | −38.6019 | − | 28.6409i | −1.28388 | − | 0.952581i | ||||
\(905\) | 29.1114 | − | 11.4755i | 0.967696 | − | 0.381458i | ||||
\(906\) | 0.989857 | + | 2.29767i | 0.0328858 | + | 0.0763351i | ||||
\(907\) | −0.611761 | − | 3.58600i | −0.0203132 | − | 0.119071i | 0.973802 | − | 0.227396i | \(-0.0730211\pi\) |
−0.994116 | + | 0.108325i | \(0.965451\pi\) | |||||||
\(908\) | −0.148014 | − | 7.88284i | −0.00491200 | − | 0.261601i | ||||
\(909\) | −1.28055 | − | 5.43113i | −0.0424733 | − | 0.180139i | ||||
\(910\) | −15.7836 | − | 10.5284i | −0.523222 | − | 0.349014i | ||||
\(911\) | −18.2692 | + | 16.2165i | −0.605285 | + | 0.537277i | −0.909702 | − | 0.415262i | \(-0.863690\pi\) |
0.304417 | + | 0.952539i | \(0.401539\pi\) | |||||||
\(912\) | 0.240029 | + | 0.273845i | 0.00794816 | + | 0.00906791i | ||||
\(913\) | 23.7089 | + | 23.2679i | 0.784650 | + | 0.770056i | ||||
\(914\) | −2.10524 | − | 1.11788i | −0.0696353 | − | 0.0369761i | ||||
\(915\) | −0.0263423 | + | 4.20923i | −0.000870850 | + | 0.139153i | ||||
\(916\) | 4.33426 | + | 3.84728i | 0.143208 | + | 0.127118i | ||||
\(917\) | 9.52164 | + | 36.2912i | 0.314432 | + | 1.19844i | ||||
\(918\) | −2.75135 | + | 2.76862i | −0.0908079 | + | 0.0913780i | ||||
\(919\) | −0.900996 | − | 1.33258i | −0.0297211 | − | 0.0439578i | 0.813263 | − | 0.581897i | \(-0.197689\pi\) |
−0.842984 | + | 0.537939i | \(0.819203\pi\) | |||||||
\(920\) | −22.2393 | + | 12.1682i | −0.733208 | + | 0.401175i | ||||
\(921\) | −0.155597 | + | 0.986395i | −0.00512709 | + | 0.0325028i | ||||
\(922\) | 34.0139 | − | 6.02196i | 1.12019 | − | 0.198323i | ||||
\(923\) | −3.19960 | − | 6.11778i | −0.105316 | − | 0.201369i | ||||
\(924\) | 1.18527 | − | 0.629373i | 0.0389925 | − | 0.0207049i | ||||
\(925\) | 3.99118 | + | 1.18179i | 0.131229 | + | 0.0388570i | ||||
\(926\) | −0.489115 | + | 4.58008i | −0.0160733 | + | 0.150511i | ||||
\(927\) | −2.23397 | − | 39.6214i | −0.0733733 | − | 1.30134i | ||||
\(928\) | −41.1237 | + | 6.22347i | −1.34995 | + | 0.204295i | ||||
\(929\) | 0.740727 | − | 39.4494i | 0.0243025 | − | 1.29429i | −0.749984 | − | 0.661456i | \(-0.769939\pi\) |
0.774286 | − | 0.632835i | \(-0.218109\pi\) | |||||||
\(930\) | 1.18648 | − | 0.256336i | 0.0389062 | − | 0.00840558i | ||||
\(931\) | 0.656607 | − | 2.63663i | 0.0215194 | − | 0.0864120i | ||||
\(932\) | −4.48969 | + | 20.1687i | −0.147065 | + | 0.660648i | ||||
\(933\) | 1.43323 | + | 1.37178i | 0.0469217 | + | 0.0449099i | ||||
\(934\) | 9.31667 | + | 27.0515i | 0.304851 | + | 0.885151i | ||||
\(935\) | 3.36376 | + | 21.3243i | 0.110007 | + | 0.697379i | ||||
\(936\) | −20.4269 | − | 26.4776i | −0.667673 | − | 0.865447i | ||||
\(937\) | −20.0814 | − | 43.5778i | −0.656030 | − | 1.42363i | −0.892077 | − | 0.451884i | \(-0.850752\pi\) |
0.236047 | − | 0.971742i | \(-0.424148\pi\) | |||||||
\(938\) | 15.3375 | − | 19.3743i | 0.500787 | − | 0.632594i | ||||
\(939\) | 2.43549 | − | 1.49562i | 0.0794793 | − | 0.0488076i | ||||
\(940\) | −4.04430 | + | 0.560362i | −0.131911 | + | 0.0182770i | ||||
\(941\) | 22.2441 | + | 30.3759i | 0.725139 | + | 0.990227i | 0.999590 | + | 0.0286261i | \(0.00911323\pi\) |
−0.274452 | + | 0.961601i | \(0.588496\pi\) | |||||||
\(942\) | −1.68673 | + | 2.36489i | −0.0549567 | + | 0.0770521i | ||||
\(943\) | −42.4332 | − | 21.8555i | −1.38182 | − | 0.711713i | ||||
\(944\) | 0.0268643 | − | 0.0257125i | 0.000874360 | − | 0.000836872i | ||||
\(945\) | −2.92984 | − | 4.83865i | −0.0953077 | − | 0.157401i | ||||
\(946\) | −21.1691 | + | 22.3963i | −0.688266 | + | 0.728166i | ||||
\(947\) | −8.44681 | + | 20.3025i | −0.274484 | + | 0.659742i | −0.999582 | − | 0.0289034i | \(-0.990798\pi\) |
0.725098 | + | 0.688646i | \(0.241795\pi\) | |||||||
\(948\) | −1.75492 | + | 1.10817i | −0.0569970 | + | 0.0359915i | ||||
\(949\) | 27.4630 | + | 12.8644i | 0.891486 | + | 0.417595i | ||||
\(950\) | 0.239603 | + | 1.65312i | 0.00777373 | + | 0.0536342i | ||||
\(951\) | −1.33953 | − | 1.87809i | −0.0434373 | − | 0.0609013i | ||||
\(952\) | −8.54125 | + | 25.8462i | −0.276823 | + | 0.837681i | ||||
\(953\) | 13.1105 | − | 29.4137i | 0.424692 | − | 0.952804i | −0.566946 | − | 0.823755i | \(-0.691875\pi\) |
0.991638 | − | 0.129049i | \(-0.0411925\pi\) | |||||||
\(954\) | 0.639272 | + | 5.35097i | 0.0206972 | + | 0.173244i | ||||
\(955\) | 11.5875 | − | 2.96279i | 0.374961 | − | 0.0958736i | ||||
\(956\) | −9.09237 | − | 2.56892i | −0.294068 | − | 0.0830849i | ||||
\(957\) | −3.12745 | − | 2.44414i | −0.101096 | − | 0.0790077i | ||||
\(958\) | 19.4386 | − | 6.02140i | 0.628033 | − | 0.194543i | ||||
\(959\) | −41.6981 | + | 1.56645i | −1.34650 | + | 0.0505835i | ||||
\(960\) | −2.25711 | + | 0.955679i | −0.0728479 | + | 0.0308444i | ||||
\(961\) | 19.8603 | − | 3.26033i | 0.640655 | − | 0.105172i | ||||
\(962\) | −2.77248 | − | 25.9616i | −0.0893884 | − | 0.837034i | ||||
\(963\) | 5.79986 | − | 31.6059i | 0.186898 | − | 1.01849i | ||||
\(964\) | 0.481844 | − | 0.867704i | 0.0155192 | − | 0.0279469i | ||||
\(965\) | 3.82031 | − | 19.4444i | 0.122980 | − | 0.625937i | ||||
\(966\) | −1.24461 | − | 1.25242i | −0.0400447 | − | 0.0402961i | ||||
\(967\) | −22.6347 | + | 38.4598i | −0.727883 | + | 1.23678i | 0.236335 | + | 0.971672i | \(0.424054\pi\) |
−0.964218 | + | 0.265111i | \(0.914592\pi\) | |||||||
\(968\) | 4.58953 | − | 9.04941i | 0.147513 | − | 0.290859i | ||||
\(969\) | 1.26652 | + | 1.59987i | 0.0406864 | + | 0.0513951i | ||||
\(970\) | 35.9313 | + | 13.1345i | 1.15368 | + | 0.421724i | ||||
\(971\) | 20.7077 | + | 0.518477i | 0.664543 | + | 0.0166387i | 0.355878 | − | 0.934532i | \(-0.384182\pi\) |
0.308664 | + | 0.951171i | \(0.400118\pi\) | |||||||
\(972\) | −1.14276 | − | 5.13352i | −0.0366539 | − | 0.164658i | ||||
\(973\) | −3.30046 | + | 5.45073i | −0.105808 | + | 0.174742i | ||||
\(974\) | 5.52637 | + | 20.0383i | 0.177076 | + | 0.642070i | ||||
\(975\) | 0.0330653 | + | 0.405530i | 0.00105894 | + | 0.0129874i | ||||
\(976\) | −0.957116 | − | 7.24084i | −0.0306365 | − | 0.231774i | ||||
\(977\) | −1.65961 | + | 13.8916i | −0.0530956 | + | 0.444432i | 0.941206 | + | 0.337832i | \(0.109694\pi\) |
−0.994302 | + | 0.106600i | \(0.966004\pi\) | |||||||
\(978\) | −3.65072 | − | 2.17943i | −0.116737 | − | 0.0696906i | ||||
\(979\) | −1.41285 | − | 2.20670i | −0.0451547 | − | 0.0705265i | ||||
\(980\) | 1.74733 | + | 1.10337i | 0.0558164 | + | 0.0352460i | ||||
\(981\) | 14.1570 | − | 9.96428i | 0.451999 | − | 0.318135i | ||||
\(982\) | −4.57747 | + | 11.4026i | −0.146073 | + | 0.363872i | ||||
\(983\) | −14.1862 | + | 49.0353i | −0.452469 | + | 1.56398i | 0.331669 | + | 0.943396i | \(0.392388\pi\) |
−0.784138 | + | 0.620586i | \(0.786895\pi\) | |||||||
\(984\) | −5.29066 | − | 3.43422i | −0.168660 | − | 0.109479i | ||||
\(985\) | −9.85012 | − | 24.5370i | −0.313851 | − | 0.781812i | ||||
\(986\) | 28.1184 | − | 2.82496i | 0.895473 | − | 0.0899650i | ||||
\(987\) | −0.329838 | − | 0.739997i | −0.0104989 | − | 0.0235544i | ||||
\(988\) | −10.5971 | + | 6.32634i | −0.337139 | + | 0.201268i | ||||
\(989\) | −42.7308 | − | 21.3363i | −1.35876 | − | 0.678455i | ||||
\(990\) | 15.0499 | + | 6.59561i | 0.478319 | + | 0.209622i | ||||
\(991\) | 33.0417 | + | 20.2906i | 1.04960 | + | 0.644554i | 0.937087 | − | 0.349096i | \(-0.113511\pi\) |
0.112516 | + | 0.993650i | \(0.464109\pi\) | |||||||
\(992\) | 16.3142 | − | 5.96358i | 0.517975 | − | 0.189344i | ||||
\(993\) | −3.98626 | + | 1.34504i | −0.126500 | + | 0.0426836i | ||||
\(994\) | 2.07664 | + | 3.73961i | 0.0658670 | + | 0.118613i | ||||
\(995\) | 42.5267 | − | 13.7590i | 1.34819 | − | 0.436188i | ||||
\(996\) | −1.31271 | + | 1.99488i | −0.0415949 | + | 0.0632101i | ||||
\(997\) | 3.91049 | − | 26.9801i | 0.123847 | − | 0.854469i | −0.830767 | − | 0.556621i | \(-0.812098\pi\) |
0.954613 | − | 0.297848i | \(-0.0962689\pi\) | |||||||
\(998\) | −5.46202 | + | 2.81325i | −0.172897 | + | 0.0890518i | ||||
\(999\) | 2.53478 | − | 7.35988i | 0.0801969 | − | 0.232856i |
(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 | 503.2.c.a.2.16 | ✓ | 10250 | |
503.252 | even | 251 | inner | 503.2.c.a.252.16 | yes | 10250 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
503.2.c.a.2.16 | ✓ | 10250 | 1.1 | even | 1 | trivial | |
503.2.c.a.252.16 | yes | 10250 | 503.252 | even | 251 | inner |