Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(431,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.431");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.l (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(264\) |
Relative dimension: | \(132\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 431.7 | ||
Character | \(\chi\) | \(=\) | 804.431 |
Dual form | 804.2.l.a.707.7 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.39862 | + | 0.209424i | −0.988975 | + | 0.148085i | ||||
\(3\) | 1.33282 | − | 1.10616i | 0.769504 | − | 0.638642i | ||||
\(4\) | 1.91228 | − | 0.585811i | 0.956141 | − | 0.292905i | ||||
\(5\) | − | 2.33442i | − | 1.04399i | −0.852950 | − | 0.521993i | \(-0.825189\pi\) | ||
0.852950 | − | 0.521993i | \(-0.174811\pi\) | |||||||
\(6\) | −1.63245 | + | 1.82622i | −0.666446 | + | 0.745553i | ||||
\(7\) | 1.17857 | − | 0.680446i | 0.445457 | − | 0.257185i | −0.260453 | − | 0.965487i | \(-0.583872\pi\) |
0.705909 | + | 0.708302i | \(0.250539\pi\) | |||||||
\(8\) | −2.55188 | + | 1.21981i | −0.902225 | + | 0.431266i | ||||
\(9\) | 0.552819 | − | 2.94863i | 0.184273 | − | 0.982875i | ||||
\(10\) | 0.488885 | + | 3.26497i | 0.154599 | + | 1.03248i | ||||
\(11\) | −0.344105 | − | 0.596008i | −0.103752 | − | 0.179703i | 0.809476 | − | 0.587153i | \(-0.199751\pi\) |
−0.913227 | + | 0.407450i | \(0.866418\pi\) | |||||||
\(12\) | 1.90073 | − | 2.89607i | 0.548693 | − | 0.836024i | ||||
\(13\) | 0.219136 | − | 0.379555i | 0.0607775 | − | 0.105270i | −0.834036 | − | 0.551711i | \(-0.813975\pi\) |
0.894813 | + | 0.446441i | \(0.147309\pi\) | |||||||
\(14\) | −1.50587 | + | 1.19851i | −0.402460 | + | 0.320315i | ||||
\(15\) | −2.58225 | − | 3.11137i | −0.666733 | − | 0.803351i | ||||
\(16\) | 3.31365 | − | 2.24047i | 0.828413 | − | 0.560118i | ||||
\(17\) | −2.44668 | − | 1.41259i | −0.593408 | − | 0.342604i | 0.173036 | − | 0.984916i | \(-0.444642\pi\) |
−0.766444 | + | 0.642311i | \(0.777976\pi\) | |||||||
\(18\) | −0.155671 | + | 4.23978i | −0.0366920 | + | 0.999327i | ||||
\(19\) | 1.84842 | + | 1.06719i | 0.424057 | + | 0.244829i | 0.696811 | − | 0.717254i | \(-0.254601\pi\) |
−0.272755 | + | 0.962084i | \(0.587935\pi\) | |||||||
\(20\) | −1.36753 | − | 4.46408i | −0.305789 | − | 0.998198i | ||||
\(21\) | 0.818136 | − | 2.21060i | 0.178532 | − | 0.482392i | ||||
\(22\) | 0.606091 | + | 0.761525i | 0.129219 | + | 0.162358i | ||||
\(23\) | 1.13575 | − | 1.96717i | 0.236820 | − | 0.410184i | −0.722980 | − | 0.690869i | \(-0.757228\pi\) |
0.959800 | + | 0.280685i | \(0.0905616\pi\) | |||||||
\(24\) | −2.05189 | + | 4.44857i | −0.418841 | + | 0.908060i | ||||
\(25\) | −0.449530 | −0.0899061 | ||||||||
\(26\) | −0.227001 | + | 0.576747i | −0.0445185 | + | 0.113109i | ||||
\(27\) | −2.52484 | − | 4.54149i | −0.485906 | − | 0.874011i | ||||
\(28\) | 1.85514 | − | 1.99162i | 0.350589 | − | 0.376381i | ||||
\(29\) | −1.61255 | + | 0.931007i | −0.299443 | + | 0.172884i | −0.642193 | − | 0.766543i | \(-0.721975\pi\) |
0.342750 | + | 0.939427i | \(0.388642\pi\) | |||||||
\(30\) | 4.26318 | + | 3.81084i | 0.778347 | + | 0.695761i | ||||
\(31\) | 1.86373 | − | 1.07603i | 0.334736 | − | 0.193260i | −0.323206 | − | 0.946329i | \(-0.604761\pi\) |
0.657942 | + | 0.753069i | \(0.271427\pi\) | |||||||
\(32\) | −4.16533 | + | 3.82753i | −0.736334 | + | 0.676618i | ||||
\(33\) | −1.11791 | − | 0.413736i | −0.194603 | − | 0.0720221i | ||||
\(34\) | 3.71782 | + | 1.46329i | 0.637600 | + | 0.250952i | ||||
\(35\) | −1.58845 | − | 2.75128i | −0.268497 | − | 0.465050i | ||||
\(36\) | −0.670189 | − | 5.96245i | −0.111698 | − | 0.993742i | ||||
\(37\) | −1.25851 | + | 2.17981i | −0.206899 | + | 0.358359i | −0.950736 | − | 0.310002i | \(-0.899670\pi\) |
0.743837 | + | 0.668361i | \(0.233004\pi\) | |||||||
\(38\) | −2.80873 | − | 1.10548i | −0.455637 | − | 0.179333i | ||||
\(39\) | −0.127780 | − | 0.748279i | −0.0204611 | − | 0.119821i | ||||
\(40\) | 2.84754 | + | 5.95716i | 0.450236 | + | 0.941910i | ||||
\(41\) | −4.18788 | + | 2.41787i | −0.654037 | + | 0.377609i | −0.790001 | − | 0.613105i | \(-0.789920\pi\) |
0.135964 | + | 0.990714i | \(0.456587\pi\) | |||||||
\(42\) | −0.681310 | + | 3.26313i | −0.105128 | + | 0.503511i | ||||
\(43\) | − | 6.47219i | − | 0.987000i | −0.869746 | − | 0.493500i | \(-0.835717\pi\) | ||
0.869746 | − | 0.493500i | \(-0.164283\pi\) | |||||||
\(44\) | −1.00717 | − | 0.938155i | −0.151837 | − | 0.141432i | ||||
\(45\) | −6.88334 | − | 1.29051i | −1.02611 | − | 0.192379i | ||||
\(46\) | −1.17651 | + | 2.98918i | −0.173467 | + | 0.440731i | ||||
\(47\) | 0.249422 | + | 0.432011i | 0.0363819 | + | 0.0630153i | 0.883643 | − | 0.468161i | \(-0.155083\pi\) |
−0.847261 | + | 0.531177i | \(0.821750\pi\) | |||||||
\(48\) | 1.93818 | − | 6.65157i | 0.279753 | − | 0.960072i | ||||
\(49\) | −2.57399 | + | 4.45827i | −0.367712 | + | 0.636896i | ||||
\(50\) | 0.628723 | − | 0.0941426i | 0.0889148 | − | 0.0133138i | ||||
\(51\) | −4.82355 | + | 0.823691i | −0.675432 | + | 0.115340i | ||||
\(52\) | 0.196703 | − | 0.854190i | 0.0272778 | − | 0.118455i | ||||
\(53\) | 8.59349i | 1.18041i | 0.807255 | + | 0.590203i | \(0.200952\pi\) | ||||
−0.807255 | + | 0.590203i | \(0.799048\pi\) | |||||||
\(54\) | 4.48240 | + | 5.82307i | 0.609977 | + | 0.792419i | ||||
\(55\) | −1.39133 | + | 0.803287i | −0.187607 | + | 0.108315i | ||||
\(56\) | −2.17755 | + | 3.17404i | −0.290987 | + | 0.424149i | ||||
\(57\) | 3.64409 | − | 0.622282i | 0.482672 | − | 0.0824232i | ||||
\(58\) | 2.06037 | − | 1.63983i | 0.270540 | − | 0.215321i | ||||
\(59\) | 7.46990 | 0.972498 | 0.486249 | − | 0.873820i | \(-0.338365\pi\) | ||||
0.486249 | + | 0.873820i | \(0.338365\pi\) | |||||||
\(60\) | −6.76066 | − | 4.43711i | −0.872797 | − | 0.572828i | ||||
\(61\) | −1.85593 | + | 3.21457i | −0.237628 | + | 0.411584i | −0.960033 | − | 0.279886i | \(-0.909703\pi\) |
0.722405 | + | 0.691470i | \(0.243037\pi\) | |||||||
\(62\) | −2.38131 | + | 1.89526i | −0.302427 | + | 0.240699i | ||||
\(63\) | −1.35485 | − | 3.85132i | −0.170695 | − | 0.485220i | ||||
\(64\) | 5.02415 | − | 6.22559i | 0.628019 | − | 0.778198i | ||||
\(65\) | −0.886043 | − | 0.511557i | −0.109900 | − | 0.0634508i | ||||
\(66\) | 1.65018 | + | 0.344542i | 0.203123 | + | 0.0424102i | ||||
\(67\) | −2.31575 | − | 7.85094i | −0.282913 | − | 0.959145i | ||||
\(68\) | −5.50627 | − | 1.26799i | −0.667733 | − | 0.153766i | ||||
\(69\) | −0.662261 | − | 3.87821i | −0.0797268 | − | 0.466881i | ||||
\(70\) | 2.79782 | + | 3.51533i | 0.334404 | + | 0.420163i | ||||
\(71\) | −0.617786 | − | 1.07004i | −0.0733177 | − | 0.126990i | 0.827036 | − | 0.562149i | \(-0.190025\pi\) |
−0.900353 | + | 0.435159i | \(0.856692\pi\) | |||||||
\(72\) | 2.18602 | + | 8.19886i | 0.257625 | + | 0.966245i | ||||
\(73\) | −4.71415 | + | 8.16514i | −0.551749 | + | 0.955657i | 0.446400 | + | 0.894834i | \(0.352706\pi\) |
−0.998149 | + | 0.0608236i | \(0.980627\pi\) | |||||||
\(74\) | 1.30368 | − | 3.31229i | 0.151550 | − | 0.385046i | ||||
\(75\) | −0.599143 | + | 0.497253i | −0.0691831 | + | 0.0574178i | ||||
\(76\) | 4.15987 | + | 0.957937i | 0.477170 | + | 0.109883i | ||||
\(77\) | −0.811103 | − | 0.468290i | −0.0924337 | − | 0.0533666i | ||||
\(78\) | 0.335423 | + | 1.01980i | 0.0379792 | + | 0.115469i | ||||
\(79\) | 4.24928 | − | 2.45332i | 0.478081 | − | 0.276020i | −0.241535 | − | 0.970392i | \(-0.577651\pi\) |
0.719617 | + | 0.694372i | \(0.244318\pi\) | |||||||
\(80\) | −5.23021 | − | 7.73547i | −0.584755 | − | 0.864851i | ||||
\(81\) | −8.38878 | − | 3.26011i | −0.932087 | − | 0.362235i | ||||
\(82\) | 5.35090 | − | 4.25873i | 0.590908 | − | 0.470299i | ||||
\(83\) | 4.56280 | − | 7.90299i | 0.500832 | − | 0.867466i | −0.499168 | − | 0.866505i | \(-0.666361\pi\) |
1.00000 | 0.000960918i | \(-0.000305870\pi\) | ||||||||
\(84\) | 0.269516 | − | 4.70656i | 0.0294067 | − | 0.513528i | ||||
\(85\) | −3.29759 | + | 5.71160i | −0.357674 | + | 0.619510i | ||||
\(86\) | 1.35543 | + | 9.05214i | 0.146160 | + | 0.976118i | ||||
\(87\) | −1.11940 | + | 3.02460i | −0.120012 | + | 0.324272i | ||||
\(88\) | 1.60513 | + | 1.10120i | 0.171107 | + | 0.117388i | ||||
\(89\) | − | 9.29896i | − | 0.985688i | −0.870118 | − | 0.492844i | \(-0.835957\pi\) | ||
0.870118 | − | 0.492844i | \(-0.164043\pi\) | |||||||
\(90\) | 9.89745 | + | 0.363402i | 1.04328 | + | 0.0383060i | ||||
\(91\) | − | 0.596442i | − | 0.0625241i | ||||||
\(92\) | 1.01948 | − | 4.42712i | 0.106288 | − | 0.461560i | ||||
\(93\) | 1.29376 | − | 3.49574i | 0.134157 | − | 0.362491i | ||||
\(94\) | −0.439320 | − | 0.551985i | −0.0453124 | − | 0.0569329i | ||||
\(95\) | 2.49126 | − | 4.31499i | 0.255598 | − | 0.442709i | ||||
\(96\) | −1.31778 | + | 9.70894i | −0.134496 | + | 0.990914i | ||||
\(97\) | 5.03441 | − | 8.71986i | 0.511167 | − | 0.885368i | −0.488749 | − | 0.872424i | \(-0.662547\pi\) |
0.999916 | − | 0.0129433i | \(-0.00412008\pi\) | |||||||
\(98\) | 2.66636 | − | 6.77449i | 0.269343 | − | 0.684327i | ||||
\(99\) | −1.94763 | + | 0.685153i | −0.195744 | + | 0.0688605i | ||||
\(100\) | −0.859629 | + | 0.263340i | −0.0859629 | + | 0.0263340i | ||||
\(101\) | 4.51319 | − | 2.60569i | 0.449079 | − | 0.259276i | −0.258362 | − | 0.966048i | \(-0.583183\pi\) |
0.707441 | + | 0.706772i | \(0.249849\pi\) | |||||||
\(102\) | 6.57381 | − | 2.16220i | 0.650905 | − | 0.214090i | ||||
\(103\) | −9.99177 | + | 5.76875i | −0.984518 | + | 0.568412i | −0.903631 | − | 0.428312i | \(-0.859109\pi\) |
−0.0808869 | + | 0.996723i | \(0.525775\pi\) | |||||||
\(104\) | −0.0962253 | + | 1.23588i | −0.00943566 | + | 0.121188i | ||||
\(105\) | −5.16047 | − | 1.90988i | −0.503610 | − | 0.186385i | ||||
\(106\) | −1.79969 | − | 12.0190i | −0.174801 | − | 1.16739i | ||||
\(107\) | 9.54980 | 0.923214 | 0.461607 | − | 0.887085i | \(-0.347273\pi\) | ||||
0.461607 | + | 0.887085i | \(0.347273\pi\) | |||||||
\(108\) | −7.48867 | − | 7.20554i | −0.720598 | − | 0.693354i | ||||
\(109\) | −7.02244 | −0.672628 | −0.336314 | − | 0.941750i | \(-0.609180\pi\) | ||||
−0.336314 | + | 0.941750i | \(0.609180\pi\) | |||||||
\(110\) | 1.77772 | − | 1.41487i | 0.169499 | − | 0.134903i | ||||
\(111\) | 0.733847 | + | 4.29742i | 0.0696536 | + | 0.407893i | ||||
\(112\) | 2.38084 | − | 4.89531i | 0.224968 | − | 0.462563i | ||||
\(113\) | 3.85162 | − | 2.22373i | 0.362330 | − | 0.209191i | −0.307772 | − | 0.951460i | \(-0.599584\pi\) |
0.670102 | + | 0.742269i | \(0.266250\pi\) | |||||||
\(114\) | −4.96638 | + | 1.63350i | −0.465144 | + | 0.152991i | ||||
\(115\) | −4.59221 | − | 2.65132i | −0.428226 | − | 0.247237i | ||||
\(116\) | −2.53826 | + | 2.72500i | −0.235672 | + | 0.253010i | ||||
\(117\) | −0.998024 | − | 0.855977i | −0.0922673 | − | 0.0791351i | ||||
\(118\) | −10.4476 | + | 1.56438i | −0.961776 | + | 0.144013i | ||||
\(119\) | −3.84478 | −0.352450 | ||||||||
\(120\) | 10.3848 | + | 4.78998i | 0.948001 | + | 0.437264i | ||||
\(121\) | 5.26318 | − | 9.11610i | 0.478471 | − | 0.828736i | ||||
\(122\) | 1.92254 | − | 4.88464i | 0.174058 | − | 0.442235i | ||||
\(123\) | −2.90714 | + | 7.85506i | −0.262128 | + | 0.708267i | ||||
\(124\) | 2.93364 | − | 3.14946i | 0.263448 | − | 0.282830i | ||||
\(125\) | − | 10.6227i | − | 0.950125i | ||||||
\(126\) | 2.70148 | + | 5.10280i | 0.240667 | + | 0.454593i | ||||
\(127\) | 8.03081 | − | 4.63659i | 0.712619 | − | 0.411431i | −0.0994108 | − | 0.995046i | \(-0.531696\pi\) |
0.812030 | + | 0.583615i | \(0.198362\pi\) | |||||||
\(128\) | −5.72309 | + | 9.75942i | −0.505855 | + | 0.862619i | ||||
\(129\) | −7.15928 | − | 8.62627i | −0.630339 | − | 0.759501i | ||||
\(130\) | 1.34637 | + | 0.529916i | 0.118085 | + | 0.0464767i | ||||
\(131\) | 13.5923 | 1.18757 | 0.593783 | − | 0.804625i | \(-0.297634\pi\) | ||||
0.593783 | + | 0.804625i | \(0.297634\pi\) | |||||||
\(132\) | −2.38013 | − | 0.136296i | −0.207164 | − | 0.0118630i | ||||
\(133\) | 2.90465 | 0.251865 | ||||||||
\(134\) | 4.88303 | + | 10.4955i | 0.421830 | + | 0.906675i | ||||
\(135\) | −10.6018 | + | 5.89405i | −0.912455 | + | 0.507279i | ||||
\(136\) | 7.96673 | + | 0.620286i | 0.683141 | + | 0.0531891i | ||||
\(137\) | − | 11.2084i | − | 0.957601i | −0.877924 | − | 0.478801i | \(-0.841072\pi\) | ||
0.877924 | − | 0.478801i | \(-0.158928\pi\) | |||||||
\(138\) | 1.73844 | + | 5.28545i | 0.147986 | + | 0.449927i | ||||
\(139\) | 16.4839i | 1.39814i | 0.715052 | + | 0.699072i | \(0.246403\pi\) | ||||
−0.715052 | + | 0.699072i | \(0.753597\pi\) | |||||||
\(140\) | −4.64929 | − | 4.33069i | −0.392937 | − | 0.366010i | ||||
\(141\) | 0.810308 | + | 0.299893i | 0.0682402 | + | 0.0252555i | ||||
\(142\) | 1.08814 | + | 1.36720i | 0.0913147 | + | 0.114733i | ||||
\(143\) | −0.301624 | −0.0252231 | ||||||||
\(144\) | −4.77446 | − | 11.0093i | −0.397872 | − | 0.917441i | ||||
\(145\) | 2.17336 | + | 3.76438i | 0.180488 | + | 0.312614i | ||||
\(146\) | 4.88333 | − | 12.4072i | 0.404147 | − | 1.02683i | ||||
\(147\) | 1.50090 | + | 8.78932i | 0.123793 | + | 0.724931i | ||||
\(148\) | −1.12968 | + | 4.90567i | −0.0928591 | + | 0.403243i | ||||
\(149\) | 23.6163i | 1.93472i | 0.253402 | + | 0.967361i | \(0.418450\pi\) | ||||
−0.253402 | + | 0.967361i | \(0.581550\pi\) | |||||||
\(150\) | 0.733838 | − | 0.820943i | 0.0599176 | − | 0.0670297i | ||||
\(151\) | −6.44501 | − | 3.72103i | −0.524488 | − | 0.302813i | 0.214281 | − | 0.976772i | \(-0.431259\pi\) |
−0.738769 | + | 0.673959i | \(0.764592\pi\) | |||||||
\(152\) | −6.01870 | − | 0.468613i | −0.488181 | − | 0.0380096i | ||||
\(153\) | −5.51779 | + | 6.43345i | −0.446087 | + | 0.520113i | ||||
\(154\) | 1.23250 | + | 0.485096i | 0.0993174 | + | 0.0390902i | ||||
\(155\) | −2.51190 | − | 4.35074i | −0.201761 | − | 0.349460i | ||||
\(156\) | −0.682701 | − | 1.35607i | −0.0546598 | − | 0.108572i | ||||
\(157\) | −0.135859 | + | 0.235314i | −0.0108427 | + | 0.0187801i | −0.871396 | − | 0.490581i | \(-0.836785\pi\) |
0.860553 | + | 0.509361i | \(0.170118\pi\) | |||||||
\(158\) | −5.42935 | + | 4.32117i | −0.431936 | + | 0.343774i | ||||
\(159\) | 9.50578 | + | 11.4536i | 0.753857 | + | 0.908328i | ||||
\(160\) | 8.93507 | + | 9.72365i | 0.706380 | + | 0.768722i | ||||
\(161\) | − | 3.09126i | − | 0.243626i | ||||||
\(162\) | 12.4155 | + | 2.80285i | 0.975452 | + | 0.220213i | ||||
\(163\) | −5.42306 | + | 3.13100i | −0.424767 | + | 0.245239i | −0.697115 | − | 0.716960i | \(-0.745533\pi\) |
0.272348 | + | 0.962199i | \(0.412200\pi\) | |||||||
\(164\) | −6.59200 | + | 7.07696i | −0.514748 | + | 0.552618i | ||||
\(165\) | −0.965834 | + | 2.60968i | −0.0751901 | + | 0.203163i | ||||
\(166\) | −4.72654 | + | 12.0089i | −0.366851 | + | 0.932068i | ||||
\(167\) | 2.72076 | + | 4.71249i | 0.210539 | + | 0.364664i | 0.951883 | − | 0.306461i | \(-0.0991449\pi\) |
−0.741345 | + | 0.671125i | \(0.765812\pi\) | |||||||
\(168\) | 0.608717 | + | 6.63914i | 0.0469635 | + | 0.512221i | ||||
\(169\) | 6.40396 | + | 11.0920i | 0.492612 | + | 0.853229i | ||||
\(170\) | 3.41594 | − | 8.67896i | 0.261990 | − | 0.665646i | ||||
\(171\) | 4.16857 | − | 4.86034i | 0.318779 | − | 0.371679i | ||||
\(172\) | −3.79148 | − | 12.3767i | −0.289098 | − | 0.943712i | ||||
\(173\) | 17.9816 | + | 10.3817i | 1.36711 | + | 0.789303i | 0.990558 | − | 0.137091i | \(-0.0437754\pi\) |
0.376555 | + | 0.926394i | \(0.377109\pi\) | |||||||
\(174\) | 0.932188 | − | 4.46471i | 0.0706690 | − | 0.338468i | ||||
\(175\) | −0.529802 | + | 0.305881i | −0.0400493 | + | 0.0231225i | ||||
\(176\) | −2.47558 | − | 1.20400i | −0.186604 | − | 0.0907553i | ||||
\(177\) | 9.95603 | − | 8.26290i | 0.748341 | − | 0.621078i | ||||
\(178\) | 1.94743 | + | 13.0057i | 0.145966 | + | 0.974821i | ||||
\(179\) | 21.7611 | 1.62650 | 0.813249 | − | 0.581916i | \(-0.197697\pi\) | ||||
0.813249 | + | 0.581916i | \(0.197697\pi\) | |||||||
\(180\) | −13.9189 | + | 1.56450i | −1.03745 | + | 0.116611i | ||||
\(181\) | 2.35516 | + | 4.07925i | 0.175058 | + | 0.303209i | 0.940181 | − | 0.340675i | \(-0.110656\pi\) |
−0.765124 | + | 0.643883i | \(0.777322\pi\) | |||||||
\(182\) | 0.124910 | + | 0.834197i | 0.00925891 | + | 0.0618348i | ||||
\(183\) | 1.08220 | + | 6.33740i | 0.0799989 | + | 0.468474i | ||||
\(184\) | −0.498720 | + | 6.40538i | −0.0367661 | + | 0.472211i | ||||
\(185\) | 5.08860 | + | 2.93791i | 0.374121 | + | 0.215999i | ||||
\(186\) | −1.07739 | + | 5.16016i | −0.0789982 | + | 0.378361i | ||||
\(187\) | 1.94432i | 0.142183i | ||||||||
\(188\) | 0.730042 | + | 0.680013i | 0.0532437 | + | 0.0495951i | ||||
\(189\) | −6.06594 | − | 3.63444i | −0.441232 | − | 0.264366i | ||||
\(190\) | −2.58067 | + | 6.55677i | −0.187221 | + | 0.475678i | ||||
\(191\) | −2.98737 | + | 5.17428i | −0.216159 | + | 0.374398i | −0.953630 | − | 0.300980i | \(-0.902686\pi\) |
0.737472 | + | 0.675378i | \(0.236019\pi\) | |||||||
\(192\) | −0.190210 | − | 13.8551i | −0.0137272 | − | 0.999906i | ||||
\(193\) | −4.54276 | −0.326995 | −0.163497 | − | 0.986544i | \(-0.552278\pi\) | ||||
−0.163497 | + | 0.986544i | \(0.552278\pi\) | |||||||
\(194\) | −5.21509 | + | 13.2501i | −0.374421 | + | 0.951303i | ||||
\(195\) | −1.74680 | + | 0.298292i | −0.125091 | + | 0.0213611i | ||||
\(196\) | −2.31048 | + | 10.0333i | −0.165035 | + | 0.716668i | ||||
\(197\) | −16.5741 | + | 9.56909i | −1.18086 | + | 0.681769i | −0.956213 | − | 0.292671i | \(-0.905456\pi\) |
−0.224646 | + | 0.974440i | \(0.572123\pi\) | |||||||
\(198\) | 2.58051 | − | 1.36615i | 0.183389 | − | 0.0970881i | ||||
\(199\) | 0.485326 | + | 0.280203i | 0.0344039 | + | 0.0198631i | 0.517103 | − | 0.855923i | \(-0.327010\pi\) |
−0.482699 | + | 0.875786i | \(0.660344\pi\) | |||||||
\(200\) | 1.14715 | − | 0.548340i | 0.0811155 | − | 0.0387735i | ||||
\(201\) | −11.7709 | − | 7.90231i | −0.830253 | − | 0.557386i | ||||
\(202\) | −5.76654 | + | 4.58954i | −0.405733 | + | 0.322919i | ||||
\(203\) | −1.26700 | + | 2.19451i | −0.0889260 | + | 0.154024i | ||||
\(204\) | −8.74146 | + | 4.40082i | −0.612025 | + | 0.308119i | ||||
\(205\) | 5.64434 | + | 9.77629i | 0.394218 | + | 0.682805i | ||||
\(206\) | 12.7666 | − | 10.1608i | 0.889490 | − | 0.707937i | ||||
\(207\) | −5.17259 | − | 4.43639i | −0.359520 | − | 0.308350i | ||||
\(208\) | −0.124241 | − | 1.74868i | −0.00861457 | − | 0.121249i | ||||
\(209\) | − | 1.46890i | − | 0.101606i | ||||||
\(210\) | 7.61752 | + | 1.59047i | 0.525659 | + | 0.109753i | ||||
\(211\) | 16.7704 | + | 9.68237i | 1.15452 | + | 0.666562i | 0.949984 | − | 0.312298i | \(-0.101099\pi\) |
0.204534 | + | 0.978859i | \(0.434432\pi\) | |||||||
\(212\) | 5.03416 | + | 16.4332i | 0.345747 | + | 1.12864i | ||||
\(213\) | −2.00703 | − | 0.742797i | −0.137519 | − | 0.0508956i | ||||
\(214\) | −13.3566 | + | 1.99996i | −0.913035 | + | 0.136714i | ||||
\(215\) | −15.1088 | −1.03041 | ||||||||
\(216\) | 11.9828 | + | 8.50951i | 0.815328 | + | 0.578999i | ||||
\(217\) | 1.46436 | − | 2.53634i | 0.0994070 | − | 0.172178i | ||||
\(218\) | 9.82174 | − | 1.47067i | 0.665212 | − | 0.0996064i | ||||
\(219\) | 2.74884 | + | 16.0973i | 0.185750 | + | 1.08775i | ||||
\(220\) | −2.19005 | + | 2.35117i | −0.147653 | + | 0.158516i | ||||
\(221\) | −1.07232 | + | 0.619102i | −0.0721317 | + | 0.0416453i | ||||
\(222\) | −1.92636 | − | 5.85677i | −0.129289 | − | 0.393081i | ||||
\(223\) | − | 18.7468i | − | 1.25538i | −0.778464 | − | 0.627689i | \(-0.784001\pi\) | ||
0.778464 | − | 0.627689i | \(-0.215999\pi\) | |||||||
\(224\) | −2.30470 | + | 7.34529i | −0.153989 | + | 0.490778i | ||||
\(225\) | −0.248509 | + | 1.32550i | −0.0165673 | + | 0.0883665i | ||||
\(226\) | −4.92125 | + | 3.91678i | −0.327357 | + | 0.260541i | ||||
\(227\) | 11.6448 | + | 20.1694i | 0.772894 | + | 1.33869i | 0.935971 | + | 0.352078i | \(0.114525\pi\) |
−0.163077 | + | 0.986613i | \(0.552142\pi\) | |||||||
\(228\) | 6.60399 | − | 3.32473i | 0.437360 | − | 0.220185i | ||||
\(229\) | 2.62411 | − | 4.54510i | 0.173406 | − | 0.300349i | −0.766202 | − | 0.642599i | \(-0.777856\pi\) |
0.939609 | + | 0.342251i | \(0.111189\pi\) | |||||||
\(230\) | 6.97802 | + | 2.74647i | 0.460117 | + | 0.181097i | ||||
\(231\) | −1.59906 | + | 0.273063i | −0.105210 | + | 0.0179662i | ||||
\(232\) | 2.97938 | − | 4.34281i | 0.195606 | − | 0.285120i | ||||
\(233\) | −5.75546 | + | 3.32292i | −0.377053 | + | 0.217692i | −0.676535 | − | 0.736410i | \(-0.736519\pi\) |
0.299482 | + | 0.954102i | \(0.403186\pi\) | |||||||
\(234\) | 1.57512 | + | 0.988177i | 0.102969 | + | 0.0645991i | ||||
\(235\) | 1.00850 | − | 0.582256i | 0.0657871 | − | 0.0379822i | ||||
\(236\) | 14.2846 | − | 4.37594i | 0.929845 | − | 0.284850i | ||||
\(237\) | 2.94976 | − | 7.97022i | 0.191607 | − | 0.517722i | ||||
\(238\) | 5.37739 | − | 0.805190i | 0.348564 | − | 0.0521927i | ||||
\(239\) | 9.72146 | + | 16.8381i | 0.628829 | + | 1.08916i | 0.987787 | + | 0.155810i | \(0.0497988\pi\) |
−0.358958 | + | 0.933354i | \(0.616868\pi\) | |||||||
\(240\) | −15.5276 | − | 4.52454i | −1.00230 | − | 0.292058i | ||||
\(241\) | 2.63836 | 0.169952 | 0.0849759 | − | 0.996383i | \(-0.472919\pi\) | ||||
0.0849759 | + | 0.996383i | \(0.472919\pi\) | |||||||
\(242\) | −5.45207 | + | 13.8522i | −0.350472 | + | 0.890454i | ||||
\(243\) | −14.7869 | + | 4.93419i | −0.948583 | + | 0.316528i | ||||
\(244\) | −1.66594 | + | 7.23439i | −0.106651 | + | 0.463135i | ||||
\(245\) | 10.4075 | + | 6.00877i | 0.664911 | + | 0.383886i | ||||
\(246\) | 2.42094 | − | 11.5951i | 0.154354 | − | 0.739275i | ||||
\(247\) | 0.810112 | − | 0.467719i | 0.0515462 | − | 0.0297602i | ||||
\(248\) | −3.44347 | + | 5.01928i | −0.218661 | + | 0.318724i | ||||
\(249\) | −2.66059 | − | 15.5805i | −0.168608 | − | 0.987371i | ||||
\(250\) | 2.22466 | + | 14.8572i | 0.140700 | + | 0.939649i | ||||
\(251\) | 7.55609 | − | 13.0875i | 0.476936 | − | 0.826077i | −0.522715 | − | 0.852508i | \(-0.675081\pi\) |
0.999651 | + | 0.0264303i | \(0.00841401\pi\) | |||||||
\(252\) | −4.84699 | − | 6.57113i | −0.305332 | − | 0.413942i | ||||
\(253\) | −1.56327 | −0.0982818 | ||||||||
\(254\) | −10.2611 | + | 8.16668i | −0.643836 | + | 0.512423i | ||||
\(255\) | 1.92284 | + | 11.2602i | 0.120413 | + | 0.705141i | ||||
\(256\) | 5.96058 | − | 14.8483i | 0.372536 | − | 0.928018i | ||||
\(257\) | −13.2024 | + | 7.62243i | −0.823545 | + | 0.475474i | −0.851638 | − | 0.524131i | \(-0.824390\pi\) |
0.0280921 | + | 0.999605i | \(0.491057\pi\) | |||||||
\(258\) | 11.8197 | + | 10.5656i | 0.735861 | + | 0.657783i | ||||
\(259\) | 3.42541i | 0.212844i | ||||||||
\(260\) | −1.99404 | − | 0.459189i | −0.123665 | − | 0.0284777i | ||||
\(261\) | 1.85374 | + | 5.26949i | 0.114744 | + | 0.326173i | ||||
\(262\) | −19.0105 | + | 2.84656i | −1.17447 | + | 0.175861i | ||||
\(263\) | −4.48324 | −0.276448 | −0.138224 | − | 0.990401i | \(-0.544139\pi\) | ||||
−0.138224 | + | 0.990401i | \(0.544139\pi\) | |||||||
\(264\) | 3.35745 | − | 0.307831i | 0.206637 | − | 0.0189457i | ||||
\(265\) | 20.0608 | 1.23233 | ||||||||
\(266\) | −4.06251 | + | 0.608304i | −0.249088 | + | 0.0372975i | ||||
\(267\) | −10.2861 | − | 12.3938i | −0.629502 | − | 0.758491i | ||||
\(268\) | −9.02753 | − | 13.6566i | −0.551444 | − | 0.834212i | ||||
\(269\) | − | 2.05747i | − | 0.125446i | −0.998031 | − | 0.0627231i | \(-0.980021\pi\) | ||
0.998031 | − | 0.0627231i | \(-0.0199785\pi\) | |||||||
\(270\) | 13.5935 | − | 10.4638i | 0.827274 | − | 0.636807i | ||||
\(271\) | 14.6095i | 0.887467i | 0.896159 | + | 0.443733i | \(0.146346\pi\) | ||||
−0.896159 | + | 0.443733i | \(0.853654\pi\) | |||||||
\(272\) | −11.2723 | + | 0.800881i | −0.683486 | + | 0.0485606i | ||||
\(273\) | −0.659761 | − | 0.794950i | −0.0399305 | − | 0.0481126i | ||||
\(274\) | 2.34732 | + | 15.6764i | 0.141807 | + | 0.947043i | ||||
\(275\) | 0.154686 | + | 0.267924i | 0.00932790 | + | 0.0161564i | ||||
\(276\) | −3.53832 | − | 7.02827i | −0.212982 | − | 0.423052i | ||||
\(277\) | 32.3141 | 1.94157 | 0.970783 | − | 0.239961i | \(-0.0771345\pi\) | ||||
0.970783 | + | 0.239961i | \(0.0771345\pi\) | |||||||
\(278\) | −3.45212 | − | 23.0547i | −0.207044 | − | 1.38273i | ||||
\(279\) | −2.14249 | − | 6.09030i | −0.128268 | − | 0.364616i | ||||
\(280\) | 7.40955 | + | 5.08332i | 0.442805 | + | 0.303786i | ||||
\(281\) | 14.4134 | + | 8.32160i | 0.859834 | + | 0.496425i | 0.863957 | − | 0.503566i | \(-0.167979\pi\) |
−0.00412295 | + | 0.999992i | \(0.501312\pi\) | |||||||
\(282\) | −1.19612 | − | 0.249738i | −0.0712278 | − | 0.0148717i | ||||
\(283\) | − | 12.7676i | − | 0.758958i | −0.925200 | − | 0.379479i | \(-0.876103\pi\) | ||
0.925200 | − | 0.379479i | \(-0.123897\pi\) | |||||||
\(284\) | −1.80822 | − | 1.68431i | −0.107298 | − | 0.0999453i | ||||
\(285\) | −1.45267 | − | 8.50685i | −0.0860487 | − | 0.503902i | ||||
\(286\) | 0.421858 | − | 0.0631674i | 0.0249450 | − | 0.00373517i | ||||
\(287\) | −3.29047 | + | 5.69926i | −0.194230 | + | 0.336416i | ||||
\(288\) | 8.98327 | + | 14.3979i | 0.529344 | + | 0.848407i | ||||
\(289\) | −4.50916 | − | 7.81009i | −0.265244 | − | 0.459417i | ||||
\(290\) | −3.82806 | − | 4.80978i | −0.224792 | − | 0.282440i | ||||
\(291\) | −2.93559 | − | 17.1909i | −0.172088 | − | 1.00775i | ||||
\(292\) | −4.23155 | + | 18.3757i | −0.247633 | + | 1.07535i | ||||
\(293\) | 22.5289i | 1.31615i | 0.752950 | + | 0.658077i | \(0.228630\pi\) | ||||
−0.752950 | + | 0.658077i | \(0.771370\pi\) | |||||||
\(294\) | −3.93989 | − | 11.9786i | −0.229779 | − | 0.698606i | ||||
\(295\) | − | 17.4379i | − | 1.01527i | ||||||
\(296\) | 0.552628 | − | 7.09775i | 0.0321208 | − | 0.412549i | ||||
\(297\) | −1.83795 | + | 3.06758i | −0.106649 | + | 0.177999i | ||||
\(298\) | −4.94583 | − | 33.0302i | −0.286504 | − | 1.91339i | ||||
\(299\) | −0.497767 | − | 0.862159i | −0.0287866 | − | 0.0498599i | ||||
\(300\) | −0.854436 | + | 1.30187i | −0.0493309 | + | 0.0751636i | ||||
\(301\) | −4.40398 | − | 7.62791i | −0.253841 | − | 0.439666i | ||||
\(302\) | 9.79341 | + | 3.85457i | 0.563547 | + | 0.221806i | ||||
\(303\) | 3.13296 | − | 8.46522i | 0.179984 | − | 0.486314i | ||||
\(304\) | 8.51602 | − | 0.605049i | 0.488427 | − | 0.0347020i | ||||
\(305\) | 7.50417 | + | 4.33253i | 0.429687 | + | 0.248080i | ||||
\(306\) | 6.36997 | − | 10.1535i | 0.364147 | − | 0.580438i | ||||
\(307\) | −13.0696 | − | 7.54573i | −0.745921 | − | 0.430657i | 0.0782975 | − | 0.996930i | \(-0.475052\pi\) |
−0.824218 | + | 0.566273i | \(0.808385\pi\) | |||||||
\(308\) | −1.82539 | − | 0.420351i | −0.104011 | − | 0.0239517i | ||||
\(309\) | −6.93607 | + | 18.7412i | −0.394579 | + | 1.06615i | ||||
\(310\) | 4.42435 | + | 5.55898i | 0.251286 | + | 0.315729i | ||||
\(311\) | 6.80936 | 0.386123 | 0.193062 | − | 0.981187i | \(-0.438158\pi\) | ||||
0.193062 | + | 0.981187i | \(0.438158\pi\) | |||||||
\(312\) | 1.23883 | + | 1.75365i | 0.0701351 | + | 0.0992809i | ||||
\(313\) | 5.74076 | 0.324487 | 0.162244 | − | 0.986751i | \(-0.448127\pi\) | ||||
0.162244 | + | 0.986751i | \(0.448127\pi\) | |||||||
\(314\) | 0.140734 | − | 0.357567i | 0.00794209 | − | 0.0201787i | ||||
\(315\) | −8.99061 | + | 3.16278i | −0.506563 | + | 0.178203i | ||||
\(316\) | 6.68864 | − | 7.18072i | 0.376266 | − | 0.403947i | ||||
\(317\) | 13.1136 | + | 7.57113i | 0.736532 | + | 0.425237i | 0.820807 | − | 0.571206i | \(-0.193524\pi\) |
−0.0842751 | + | 0.996443i | \(0.526857\pi\) | |||||||
\(318\) | −15.6936 | − | 14.0285i | −0.880055 | − | 0.786678i | ||||
\(319\) | 1.10977 | + | 0.640729i | 0.0621355 | + | 0.0358739i | ||||
\(320\) | −14.5332 | − | 11.7285i | −0.812428 | − | 0.655642i | ||||
\(321\) | 12.7282 | − | 10.5636i | 0.710417 | − | 0.589603i | ||||
\(322\) | 0.647385 | + | 4.32350i | 0.0360774 | + | 0.240940i | ||||
\(323\) | −3.01500 | − | 5.22214i | −0.167759 | − | 0.290567i | ||||
\(324\) | −17.9515 | − | 1.32002i | −0.997307 | − | 0.0733347i | ||||
\(325\) | −0.0985085 | + | 0.170622i | −0.00546427 | + | 0.00946439i | ||||
\(326\) | 6.92909 | − | 5.51481i | 0.383767 | − | 0.305437i | ||||
\(327\) | −9.35966 | + | 7.76795i | −0.517590 | + | 0.429568i | ||||
\(328\) | 7.73762 | − | 11.2785i | 0.427239 | − | 0.622752i | ||||
\(329\) | 0.587921 | + | 0.339436i | 0.0324131 | + | 0.0187137i | ||||
\(330\) | 0.804307 | − | 3.85222i | 0.0442756 | − | 0.212058i | ||||
\(331\) | −2.54437 | + | 1.46899i | −0.139851 | + | 0.0807430i | −0.568293 | − | 0.822826i | \(-0.692396\pi\) |
0.428442 | + | 0.903569i | \(0.359063\pi\) | |||||||
\(332\) | 4.09570 | − | 17.7857i | 0.224781 | − | 0.976117i | ||||
\(333\) | 5.73172 | + | 4.91593i | 0.314096 | + | 0.269391i | ||||
\(334\) | −4.79222 | − | 6.02120i | −0.262219 | − | 0.329465i | ||||
\(335\) | −18.3274 | + | 5.40593i | −1.00133 | + | 0.295358i | ||||
\(336\) | −2.24176 | − | 9.15816i | −0.122298 | − | 0.499619i | ||||
\(337\) | 14.6977 | − | 25.4572i | 0.800635 | − | 1.38674i | −0.118563 | − | 0.992947i | \(-0.537829\pi\) |
0.919198 | − | 0.393795i | \(-0.128838\pi\) | |||||||
\(338\) | −11.2796 | − | 14.1723i | −0.613532 | − | 0.770873i | ||||
\(339\) | 2.67371 | − | 7.22435i | 0.145216 | − | 0.392373i | ||||
\(340\) | −2.96002 | + | 12.8540i | −0.160529 | + | 0.697104i | ||||
\(341\) | −1.28264 | − | 0.740533i | −0.0694589 | − | 0.0401021i | ||||
\(342\) | −4.81238 | + | 7.67077i | −0.260224 | + | 0.414788i | ||||
\(343\) | 16.5321i | 0.892649i | ||||||||
\(344\) | 7.89482 | + | 16.5162i | 0.425660 | + | 0.890496i | ||||
\(345\) | −9.05338 | + | 1.54600i | −0.487417 | + | 0.0832337i | ||||
\(346\) | −27.3236 | − | 10.7542i | −1.46892 | − | 0.578151i | ||||
\(347\) | −15.1779 | − | 26.2889i | −0.814793 | − | 1.41126i | −0.909476 | − | 0.415755i | \(-0.863517\pi\) |
0.0946835 | − | 0.995507i | \(-0.469816\pi\) | |||||||
\(348\) | −0.368760 | + | 6.43965i | −0.0197676 | + | 0.345202i | ||||
\(349\) | −5.68747 | −0.304443 | −0.152222 | − | 0.988346i | \(-0.548643\pi\) | ||||
−0.152222 | + | 0.988346i | \(0.548643\pi\) | |||||||
\(350\) | 0.676933 | − | 0.538766i | 0.0361836 | − | 0.0287982i | ||||
\(351\) | −2.27703 | − | 0.0368890i | −0.121539 | − | 0.00196899i | ||||
\(352\) | 3.71455 | + | 1.16550i | 0.197986 | + | 0.0621213i | ||||
\(353\) | −1.18920 | − | 0.686584i | −0.0632947 | − | 0.0365432i | 0.468019 | − | 0.883719i | \(-0.344968\pi\) |
−0.531313 | + | 0.847175i | \(0.678301\pi\) | |||||||
\(354\) | −12.1943 | + | 13.6417i | −0.648118 | + | 0.725048i | ||||
\(355\) | −2.49792 | + | 1.44217i | −0.132576 | + | 0.0765427i | ||||
\(356\) | −5.44743 | − | 17.7822i | −0.288713 | − | 0.942457i | ||||
\(357\) | −5.12440 | + | 4.25294i | −0.271212 | + | 0.225089i | ||||
\(358\) | −30.4355 | + | 4.55730i | −1.60857 | + | 0.240861i | ||||
\(359\) | −33.7871 | −1.78321 | −0.891606 | − | 0.452811i | \(-0.850421\pi\) | ||||
−0.891606 | + | 0.452811i | \(0.850421\pi\) | |||||||
\(360\) | 19.1396 | − | 5.10310i | 1.00875 | − | 0.268957i | ||||
\(361\) | −7.22223 | − | 12.5093i | −0.380117 | − | 0.658382i | ||||
\(362\) | −4.14827 | − | 5.21210i | −0.218028 | − | 0.273942i | ||||
\(363\) | −3.06899 | − | 17.9720i | −0.161080 | − | 0.943288i | ||||
\(364\) | −0.349402 | − | 1.14057i | −0.0183137 | − | 0.0597819i | ||||
\(365\) | 19.0609 | + | 11.0048i | 0.997693 | + | 0.576018i | ||||
\(366\) | −2.84080 | − | 8.63699i | −0.148491 | − | 0.451463i | ||||
\(367\) | −12.6040 | + | 7.27692i | −0.657923 | + | 0.379852i | −0.791485 | − | 0.611188i | \(-0.790692\pi\) |
0.133562 | + | 0.991040i | \(0.457359\pi\) | |||||||
\(368\) | −0.643921 | − | 9.06314i | −0.0335667 | − | 0.472449i | ||||
\(369\) | 4.81426 | + | 13.6851i | 0.250621 | + | 0.712420i | ||||
\(370\) | −7.73230 | − | 3.04334i | −0.401983 | − | 0.158216i | ||||
\(371\) | 5.84741 | + | 10.1280i | 0.303582 | + | 0.525820i | ||||
\(372\) | 0.426201 | − | 7.44273i | 0.0220975 | − | 0.385888i | ||||
\(373\) | −15.6776 | − | 27.1544i | −0.811754 | − | 1.40600i | −0.911635 | − | 0.411000i | \(-0.865180\pi\) |
0.0998809 | − | 0.994999i | \(-0.468154\pi\) | |||||||
\(374\) | −0.407189 | − | 2.71937i | −0.0210552 | − | 0.140615i | ||||
\(375\) | −11.7504 | − | 14.1582i | −0.606790 | − | 0.731125i | ||||
\(376\) | −1.16346 | − | 0.798193i | −0.0600010 | − | 0.0411637i | ||||
\(377\) | 0.816070i | 0.0420297i | ||||||||
\(378\) | 9.24509 | + | 3.81285i | 0.475516 | + | 0.196112i | ||||
\(379\) | 27.6055 | + | 15.9380i | 1.41800 | + | 0.818682i | 0.996123 | − | 0.0879723i | \(-0.0280387\pi\) |
0.421875 | + | 0.906654i | \(0.361372\pi\) | |||||||
\(380\) | 2.23623 | − | 9.71090i | 0.114716 | − | 0.498159i | ||||
\(381\) | 5.57482 | − | 15.0631i | 0.285606 | − | 0.771706i | ||||
\(382\) | 3.09458 | − | 7.86248i | 0.158332 | − | 0.402280i | ||||
\(383\) | 11.4893 | − | 19.9001i | 0.587078 | − | 1.01685i | −0.407535 | − | 0.913190i | \(-0.633612\pi\) |
0.994613 | − | 0.103659i | \(-0.0330550\pi\) | |||||||
\(384\) | 3.16763 | + | 19.3382i | 0.161647 | + | 0.986849i | ||||
\(385\) | −1.09319 | + | 1.89346i | −0.0557140 | + | 0.0964995i | ||||
\(386\) | 6.35359 | − | 0.951363i | 0.323389 | − | 0.0484231i | ||||
\(387\) | −19.0841 | − | 3.57795i | −0.970098 | − | 0.181878i | ||||
\(388\) | 4.51904 | − | 19.6241i | 0.229419 | − | 0.996260i | ||||
\(389\) | 15.3248 | + | 8.84780i | 0.777000 | + | 0.448601i | 0.835366 | − | 0.549694i | \(-0.185256\pi\) |
−0.0583658 | + | 0.998295i | \(0.518589\pi\) | |||||||
\(390\) | 2.38064 | − | 0.783019i | 0.120548 | − | 0.0396497i | ||||
\(391\) | −5.55763 | + | 3.20870i | −0.281062 | + | 0.162271i | ||||
\(392\) | 1.13027 | − | 14.5167i | 0.0570871 | − | 0.733205i | ||||
\(393\) | 18.1161 | − | 15.0353i | 0.913837 | − | 0.758429i | ||||
\(394\) | 21.1770 | − | 16.8546i | 1.06688 | − | 0.849121i | ||||
\(395\) | −5.72709 | − | 9.91962i | −0.288161 | − | 0.499110i | ||||
\(396\) | −3.32305 | + | 2.45115i | −0.166990 | + | 0.123175i | ||||
\(397\) | −5.45961 | −0.274010 | −0.137005 | − | 0.990570i | \(-0.543748\pi\) | ||||
−0.137005 | + | 0.990570i | \(0.543748\pi\) | |||||||
\(398\) | −0.737469 | − | 0.290259i | −0.0369660 | − | 0.0145494i | ||||
\(399\) | 3.87138 | − | 3.21301i | 0.193811 | − | 0.160852i | ||||
\(400\) | −1.48959 | + | 1.00716i | −0.0744794 | + | 0.0503580i | ||||
\(401\) | − | 11.2952i | − | 0.564055i | −0.959406 | − | 0.282027i | \(-0.908993\pi\) | ||
0.959406 | − | 0.282027i | \(-0.0910069\pi\) | |||||||
\(402\) | 18.1179 | + | 8.58723i | 0.903640 | + | 0.428292i | ||||
\(403\) | − | 0.943186i | − | 0.0469834i | ||||||
\(404\) | 7.10405 | − | 7.62669i | 0.353440 | − | 0.379442i | ||||
\(405\) | −7.61049 | + | 19.5830i | −0.378168 | + | 0.973085i | ||||
\(406\) | 1.31247 | − | 3.33463i | 0.0651368 | − | 0.165495i | ||||
\(407\) | 1.73225 | 0.0858643 | ||||||||
\(408\) | 11.3044 | − | 7.98575i | 0.559649 | − | 0.395353i | ||||
\(409\) | 11.1793 | + | 19.3631i | 0.552780 | + | 0.957442i | 0.998073 | + | 0.0620574i | \(0.0197662\pi\) |
−0.445293 | + | 0.895385i | \(0.646900\pi\) | |||||||
\(410\) | −9.94169 | − | 12.4913i | −0.490985 | − | 0.616899i | ||||
\(411\) | −12.3983 | − | 14.9388i | −0.611564 | − | 0.736878i | ||||
\(412\) | −15.7277 | + | 16.8848i | −0.774848 | + | 0.831853i | ||||
\(413\) | 8.80378 | − | 5.08286i | 0.433206 | − | 0.250111i | ||||
\(414\) | 8.16359 | + | 5.12156i | 0.401218 | + | 0.251711i | ||||
\(415\) | −18.4489 | − | 10.6515i | −0.905622 | − | 0.522861i | ||||
\(416\) | 0.539983 | + | 2.41973i | 0.0264748 | + | 0.118637i | ||||
\(417\) | 18.2338 | + | 21.9700i | 0.892913 | + | 1.07588i | ||||
\(418\) | 0.307623 | + | 2.05443i | 0.0150463 | + | 0.100485i | ||||
\(419\) | −6.56404 | + | 11.3693i | −0.320675 | + | 0.555425i | −0.980627 | − | 0.195882i | \(-0.937243\pi\) |
0.659953 | + | 0.751307i | \(0.270576\pi\) | |||||||
\(420\) | −10.9871 | − | 0.629165i | −0.536116 | − | 0.0307001i | ||||
\(421\) | −16.7928 | + | 29.0860i | −0.818431 | + | 1.41756i | 0.0884074 | + | 0.996084i | \(0.471822\pi\) |
−0.906838 | + | 0.421479i | \(0.861511\pi\) | |||||||
\(422\) | −25.4831 | − | 10.0298i | −1.24050 | − | 0.488245i | ||||
\(423\) | 1.41172 | − | 0.496627i | 0.0686404 | − | 0.0241468i | ||||
\(424\) | −10.4824 | − | 21.9295i | −0.509070 | − | 1.06499i | ||||
\(425\) | 1.09986 | + | 0.635004i | 0.0533510 | + | 0.0308022i | ||||
\(426\) | 2.96263 | + | 0.618570i | 0.143540 | + | 0.0299698i | ||||
\(427\) | 5.05145i | 0.244457i | ||||||||
\(428\) | 18.2619 | − | 5.59437i | 0.882723 | − | 0.270414i | ||||
\(429\) | −0.402011 | + | 0.333644i | −0.0194093 | + | 0.0161085i | ||||
\(430\) | 21.1315 | − | 3.16416i | 1.01905 | − | 0.152589i | ||||
\(431\) | 9.49216 | + | 16.4409i | 0.457221 | + | 0.791930i | 0.998813 | − | 0.0487115i | \(-0.0155115\pi\) |
−0.541592 | + | 0.840642i | \(0.682178\pi\) | |||||||
\(432\) | −18.5415 | − | 9.39209i | −0.892080 | − | 0.451877i | ||||
\(433\) | −15.3534 | − | 26.5928i | −0.737836 | − | 1.27797i | −0.953468 | − | 0.301495i | \(-0.902514\pi\) |
0.215631 | − | 0.976475i | \(-0.430819\pi\) | |||||||
\(434\) | −1.51691 | + | 3.85405i | −0.0728139 | + | 0.185000i | ||||
\(435\) | 7.06071 | + | 2.61315i | 0.338535 | + | 0.125291i | ||||
\(436\) | −13.4289 | + | 4.11382i | −0.643128 | + | 0.197016i | ||||
\(437\) | 4.19868 | − | 2.42411i | 0.200850 | − | 0.115961i | ||||
\(438\) | −7.21575 | − | 21.9383i | −0.344782 | − | 1.04825i | ||||
\(439\) | 24.4816 | + | 14.1344i | 1.16844 | + | 0.674600i | 0.953312 | − | 0.301986i | \(-0.0976496\pi\) |
0.215129 | + | 0.976586i | \(0.430983\pi\) | |||||||
\(440\) | 2.57066 | − | 3.74705i | 0.122551 | − | 0.178633i | ||||
\(441\) | 11.7228 | + | 10.0543i | 0.558230 | + | 0.478778i | ||||
\(442\) | 1.37011 | − | 1.09046i | 0.0651694 | − | 0.0518678i | ||||
\(443\) | −12.7410 | − | 22.0680i | −0.605341 | − | 1.04848i | −0.991997 | − | 0.126258i | \(-0.959703\pi\) |
0.386656 | − | 0.922224i | \(-0.373630\pi\) | |||||||
\(444\) | 3.92079 | + | 7.78798i | 0.186073 | + | 0.369601i | ||||
\(445\) | −21.7077 | −1.02904 | ||||||||
\(446\) | 3.92603 | + | 26.2197i | 0.185903 | + | 1.24154i | ||||
\(447\) | 26.1234 | + | 31.4763i | 1.23559 | + | 1.48878i | ||||
\(448\) | 1.68512 | − | 10.7559i | 0.0796145 | − | 0.508170i | ||||
\(449\) | −2.09969 | + | 1.21225i | −0.0990903 | + | 0.0572098i | −0.548726 | − | 0.836002i | \(-0.684887\pi\) |
0.449636 | + | 0.893212i | \(0.351554\pi\) | |||||||
\(450\) | 0.0699789 | − | 1.90591i | 0.00329884 | − | 0.0898455i | ||||
\(451\) | 2.88214 | + | 1.66401i | 0.135715 | + | 0.0783550i | ||||
\(452\) | 6.06270 | − | 6.50873i | 0.285165 | − | 0.306145i | ||||
\(453\) | −12.7061 | + | 2.16975i | −0.596985 | + | 0.101944i | ||||
\(454\) | −20.5107 | − | 25.7707i | −0.962613 | − | 1.20948i | ||||
\(455\) | −1.39235 | −0.0652743 | ||||||||
\(456\) | −8.54021 | + | 6.03307i | −0.399932 | + | 0.282524i | ||||
\(457\) | 3.16390 | + | 5.48004i | 0.148001 | + | 0.256346i | 0.930489 | − | 0.366321i | \(-0.119383\pi\) |
−0.782487 | + | 0.622666i | \(0.786049\pi\) | |||||||
\(458\) | −2.71829 | + | 6.90643i | −0.127017 | + | 0.322716i | ||||
\(459\) | −0.237793 | + | 14.6782i | −0.0110992 | + | 0.685119i | ||||
\(460\) | −10.3348 | − | 2.37990i | −0.481862 | − | 0.110963i | ||||
\(461\) | − | 13.3476i | − | 0.621660i | −0.950466 | − | 0.310830i | \(-0.899393\pi\) | ||
0.950466 | − | 0.310830i | \(-0.100607\pi\) | |||||||
\(462\) | 2.17929 | − | 0.716793i | 0.101390 | − | 0.0333482i | ||||
\(463\) | 15.8257 | + | 9.13696i | 0.735481 | + | 0.424630i | 0.820424 | − | 0.571756i | \(-0.193737\pi\) |
−0.0849428 | + | 0.996386i | \(0.527071\pi\) | |||||||
\(464\) | −3.25754 | + | 6.69791i | −0.151227 | + | 0.310942i | ||||
\(465\) | −8.16053 | − | 3.02019i | −0.378435 | − | 0.140058i | ||||
\(466\) | 7.35381 | − | 5.85284i | 0.340659 | − | 0.271127i | ||||
\(467\) | 7.99133 | − | 13.8414i | 0.369795 | − | 0.640503i | −0.619739 | − | 0.784808i | \(-0.712761\pi\) |
0.989533 | + | 0.144305i | \(0.0460947\pi\) | |||||||
\(468\) | −2.40994 | − | 1.05222i | −0.111400 | − | 0.0486387i | ||||
\(469\) | −8.07141 | − | 7.67713i | −0.372703 | − | 0.354497i | ||||
\(470\) | −1.28857 | + | 1.02556i | −0.0594371 | + | 0.0473055i | ||||
\(471\) | 0.0792198 | + | 0.463912i | 0.00365026 | + | 0.0213760i | ||||
\(472\) | −19.0623 | + | 9.11182i | −0.877411 | + | 0.419406i | ||||
\(473\) | −3.85748 | + | 2.22712i | −0.177367 | + | 0.102403i | ||||
\(474\) | −2.45644 | + | 11.7651i | −0.112828 | + | 0.540388i | ||||
\(475\) | −0.830921 | − | 0.479733i | −0.0381253 | − | 0.0220116i | ||||
\(476\) | −7.35230 | + | 2.25231i | −0.336992 | + | 0.103235i | ||||
\(477\) | 25.3390 | + | 4.75065i | 1.16019 | + | 0.217517i | ||||
\(478\) | −17.1229 | − | 21.5142i | −0.783185 | − | 0.984035i | ||||
\(479\) | 3.17155 | − | 5.49329i | 0.144912 | − | 0.250995i | −0.784428 | − | 0.620220i | \(-0.787043\pi\) |
0.929340 | + | 0.369225i | \(0.120377\pi\) | |||||||
\(480\) | 22.6648 | + | 3.07626i | 1.03450 | + | 0.140411i | ||||
\(481\) | 0.551573 | + | 0.955352i | 0.0251496 | + | 0.0435603i | ||||
\(482\) | −3.69007 | + | 0.552537i | −0.168078 | + | 0.0251674i | ||||
\(483\) | −3.41943 | − | 4.12010i | −0.155589 | − | 0.187471i | ||||
\(484\) | 4.72439 | − | 20.5158i | 0.214745 | − | 0.932536i | ||||
\(485\) | −20.3558 | − | 11.7525i | −0.924311 | − | 0.533651i | ||||
\(486\) | 19.6480 | − | 9.99781i | 0.891251 | − | 0.453510i | ||||
\(487\) | 4.65732 | + | 2.68891i | 0.211043 | + | 0.121846i | 0.601796 | − | 0.798650i | \(-0.294452\pi\) |
−0.390753 | + | 0.920496i | \(0.627785\pi\) | |||||||
\(488\) | 0.814961 | − | 10.4671i | 0.0368916 | − | 0.473822i | ||||
\(489\) | −3.76457 | + | 10.1718i | −0.170240 | + | 0.459986i | ||||
\(490\) | −15.8145 | − | 6.22441i | −0.714428 | − | 0.281190i | ||||
\(491\) | 28.7817 | 1.29890 | 0.649449 | − | 0.760405i | \(-0.275000\pi\) | ||||
0.649449 | + | 0.760405i | \(0.275000\pi\) | |||||||
\(492\) | −0.957691 | + | 16.7241i | −0.0431760 | + | 0.753982i | ||||
\(493\) | 5.26054 | 0.236923 | ||||||||
\(494\) | −1.03509 | + | 0.823818i | −0.0465708 | + | 0.0370653i | ||||
\(495\) | 1.59944 | + | 4.54660i | 0.0718893 | + | 0.204354i | ||||
\(496\) | 3.76495 | − | 7.74121i | 0.169051 | − | 0.347591i | ||||
\(497\) | −1.45621 | − | 0.840741i | −0.0653197 | − | 0.0377124i | ||||
\(498\) | 6.98409 | + | 21.2340i | 0.312964 | + | 0.951517i | ||||
\(499\) | 17.5864 | + | 10.1535i | 0.787276 | + | 0.454534i | 0.839003 | − | 0.544127i | \(-0.183139\pi\) |
−0.0517268 | + | 0.998661i | \(0.516473\pi\) | |||||||
\(500\) | −6.22290 | − | 20.3136i | −0.278297 | − | 0.908454i | ||||
\(501\) | 8.83905 | + | 3.27131i | 0.394900 | + | 0.146151i | ||||
\(502\) | −7.82726 | + | 19.8869i | −0.349348 | + | 0.887597i | ||||
\(503\) | −16.0611 | − | 27.8186i | −0.716129 | − | 1.24037i | −0.962523 | − | 0.271201i | \(-0.912579\pi\) |
0.246394 | − | 0.969170i | \(-0.420754\pi\) | |||||||
\(504\) | 8.15526 | + | 8.17544i | 0.363264 | + | 0.364163i | ||||
\(505\) | −6.08278 | − | 10.5357i | −0.270680 | − | 0.468832i | ||||
\(506\) | 2.18642 | − | 0.327386i | 0.0971982 | − | 0.0145541i | ||||
\(507\) | 20.8048 | + | 7.69981i | 0.923975 | + | 0.341961i | ||||
\(508\) | 12.6410 | − | 13.5710i | 0.560855 | − | 0.602116i | ||||
\(509\) | 18.7998i | 0.833288i | 0.909070 | + | 0.416644i | \(0.136794\pi\) | ||||
−0.909070 | + | 0.416644i | \(0.863206\pi\) | |||||||
\(510\) | −5.04749 | − | 15.3461i | −0.223507 | − | 0.679535i | ||||
\(511\) | 12.8309i | 0.567605i | ||||||||
\(512\) | −5.22700 | + | 22.0154i | −0.231003 | + | 0.972953i | ||||
\(513\) | 0.179648 | − | 11.0891i | 0.00793164 | − | 0.489594i | ||||
\(514\) | 16.8689 | − | 13.4258i | 0.744055 | − | 0.592187i | ||||
\(515\) | 13.4667 | + | 23.3250i | 0.593414 | + | 1.02782i | ||||
\(516\) | −18.7439 | − | 12.3019i | −0.825155 | − | 0.541560i | ||||
\(517\) | 0.171655 | − | 0.297315i | 0.00754936 | − | 0.0130759i | ||||
\(518\) | −0.717363 | − | 4.79085i | −0.0315191 | − | 0.210498i | ||||
\(519\) | 35.4500 | − | 6.05360i | 1.55608 | − | 0.265724i | ||||
\(520\) | 2.88507 | + | 0.224630i | 0.126519 | + | 0.00985070i | ||||
\(521\) | − | 29.5798i | − | 1.29592i | −0.761676 | − | 0.647958i | \(-0.775623\pi\) | ||
0.761676 | − | 0.647958i | \(-0.224377\pi\) | |||||||
\(522\) | −3.69624 | − | 6.98180i | −0.161780 | − | 0.305585i | ||||
\(523\) | 22.0579 | + | 12.7352i | 0.964526 | + | 0.556869i | 0.897563 | − | 0.440886i | \(-0.145336\pi\) |
0.0669629 | + | 0.997755i | \(0.478669\pi\) | |||||||
\(524\) | 25.9923 | − | 7.96252i | 1.13548 | − | 0.347844i | ||||
\(525\) | −0.367777 | + | 0.993731i | −0.0160511 | + | 0.0433700i | ||||
\(526\) | 6.27035 | − | 0.938899i | 0.273400 | − | 0.0409379i | ||||
\(527\) | −6.07995 | −0.264847 | ||||||||
\(528\) | −4.63133 | + | 1.13367i | −0.201553 | + | 0.0493367i | ||||
\(529\) | 8.92015 | + | 15.4502i | 0.387833 | + | 0.671746i | ||||
\(530\) | −28.0575 | + | 4.20123i | −1.21874 | + | 0.182490i | ||||
\(531\) | 4.12950 | − | 22.0259i | 0.179205 | − | 0.955844i | ||||
\(532\) | 5.55451 | − | 1.70158i | 0.240819 | − | 0.0737726i | ||||
\(533\) | 2.11938i | 0.0918004i | ||||||||
\(534\) | 16.9820 | + | 15.1801i | 0.734883 | + | 0.656908i | ||||
\(535\) | − | 22.2933i | − | 0.963822i | ||||||
\(536\) | 15.4861 | + | 17.2099i | 0.668899 | + | 0.743354i | ||||
\(537\) | 29.0036 | − | 24.0712i | 1.25160 | − | 1.03875i | ||||
\(538\) | 0.430885 | + | 2.87762i | 0.0185768 | + | 0.124063i | ||||
\(539\) | 3.54289 | 0.152603 | ||||||||
\(540\) | −16.8208 | + | 17.4817i | −0.723851 | + | 0.752294i | ||||
\(541\) | −25.5752 | −1.09956 | −0.549781 | − | 0.835309i | \(-0.685289\pi\) | ||||
−0.549781 | + | 0.835309i | \(0.685289\pi\) | |||||||
\(542\) | −3.05959 | − | 20.4332i | −0.131421 | − | 0.877682i | ||||
\(543\) | 7.65131 | + | 2.83173i | 0.328349 | + | 0.121521i | ||||
\(544\) | 15.5980 | − | 3.48083i | 0.668759 | − | 0.149239i | ||||
\(545\) | 16.3934i | 0.702214i | ||||||||
\(546\) | 1.08924 | + | 0.973664i | 0.0466151 | + | 0.0416690i | ||||
\(547\) | −1.35598 | + | 0.782873i | −0.0579773 | + | 0.0334732i | −0.528708 | − | 0.848803i | \(-0.677324\pi\) |
0.470731 | + | 0.882277i | \(0.343990\pi\) | |||||||
\(548\) | −6.56602 | − | 21.4337i | −0.280486 | − | 0.915602i | ||||
\(549\) | 8.45257 | + | 7.24953i | 0.360747 | + | 0.309402i | ||||
\(550\) | −0.272457 | − | 0.342329i | −0.0116176 | − | 0.0145969i | ||||
\(551\) | −3.97423 | −0.169308 | ||||||||
\(552\) | 6.42067 | + | 9.08888i | 0.273282 | + | 0.386848i | ||||
\(553\) | 3.33871 | − | 5.78281i | 0.141976 | − | 0.245910i | ||||
\(554\) | −45.1952 | + | 6.76736i | −1.92016 | + | 0.287517i | ||||
\(555\) | 10.0320 | − | 1.71311i | 0.425834 | − | 0.0727174i | ||||
\(556\) | 9.65642 | + | 31.5218i | 0.409523 | + | 1.33682i | ||||
\(557\) | −31.9811 | + | 18.4643i | −1.35508 | + | 0.782358i | −0.988956 | − | 0.148207i | \(-0.952650\pi\) |
−0.366127 | + | 0.930565i | \(0.619316\pi\) | |||||||
\(558\) | 4.27199 | + | 8.06933i | 0.180848 | + | 0.341602i | ||||
\(559\) | −2.45656 | − | 1.41829i | −0.103901 | − | 0.0599874i | ||||
\(560\) | −11.4277 | − | 5.55789i | −0.482909 | − | 0.234864i | ||||
\(561\) | 2.15073 | + | 2.59144i | 0.0908041 | + | 0.109410i | ||||
\(562\) | −21.9017 | − | 8.62025i | −0.923867 | − | 0.363623i | ||||
\(563\) | −10.1253 | −0.426731 | −0.213365 | − | 0.976972i | \(-0.568442\pi\) | ||||
−0.213365 | + | 0.976972i | \(0.568442\pi\) | |||||||
\(564\) | 1.72522 | + | 0.0987929i | 0.0726448 | + | 0.00415993i | ||||
\(565\) | −5.19114 | − | 8.99131i | −0.218393 | − | 0.378267i | ||||
\(566\) | 2.67386 | + | 17.8571i | 0.112391 | + | 0.750590i | ||||
\(567\) | −12.1051 | + | 1.86585i | −0.508366 | + | 0.0783583i | ||||
\(568\) | 2.88175 | + | 1.97702i | 0.120916 | + | 0.0829541i | ||||
\(569\) | −14.0964 | + | 8.13855i | −0.590951 | + | 0.341186i | −0.765473 | − | 0.643467i | \(-0.777495\pi\) |
0.174522 | + | 0.984653i | \(0.444162\pi\) | |||||||
\(570\) | 3.81327 | + | 11.5936i | 0.159720 | + | 0.485604i | ||||
\(571\) | −39.2190 | + | 22.6431i | −1.64126 | + | 0.947584i | −0.660878 | + | 0.750494i | \(0.729816\pi\) |
−0.980385 | + | 0.197090i | \(0.936851\pi\) | |||||||
\(572\) | −0.576790 | + | 0.176695i | −0.0241168 | + | 0.00738797i | ||||
\(573\) | 1.74195 | + | 10.2009i | 0.0727711 | + | 0.426148i | ||||
\(574\) | 3.40855 | − | 8.66021i | 0.142270 | − | 0.361470i | ||||
\(575\) | −0.510553 | + | 0.884304i | −0.0212915 | + | 0.0368780i | ||||
\(576\) | −15.5795 | − | 18.2560i | −0.649145 | − | 0.760665i | ||||
\(577\) | 5.02915 | + | 8.71075i | 0.209366 | + | 0.362633i | 0.951515 | − | 0.307602i | \(-0.0995265\pi\) |
−0.742149 | + | 0.670235i | \(0.766193\pi\) | |||||||
\(578\) | 7.94222 | + | 9.97903i | 0.330353 | + | 0.415073i | ||||
\(579\) | −6.05468 | + | 5.02502i | −0.251624 | + | 0.208833i | ||||
\(580\) | 6.36130 | + | 5.92537i | 0.264138 | + | 0.246038i | ||||
\(581\) | − | 12.4190i | − | 0.515225i | ||||||
\(582\) | 7.70597 | + | 23.4287i | 0.319423 | + | 0.971152i | ||||
\(583\) | 5.12179 | − | 2.95706i | 0.212123 | − | 0.122469i | ||||
\(584\) | 2.07003 | − | 26.5868i | 0.0856586 | − | 1.10017i | ||||
\(585\) | −1.99821 | + | 2.32981i | −0.0826159 | + | 0.0963258i | ||||
\(586\) | −4.71811 | − | 31.5094i | −0.194903 | − | 1.30164i | ||||
\(587\) | −12.8346 | + | 22.2301i | −0.529739 | + | 0.917535i | 0.469659 | + | 0.882848i | \(0.344377\pi\) |
−0.999398 | + | 0.0346872i | \(0.988956\pi\) | |||||||
\(588\) | 8.01903 | + | 15.9284i | 0.330699 | + | 0.656877i | ||||
\(589\) | 4.59328 | 0.189263 | ||||||||
\(590\) | 3.65192 | + | 24.3890i | 0.150347 | + | 1.00408i | ||||
\(591\) | −11.5054 | + | 31.0875i | −0.473270 | + | 1.27877i | ||||
\(592\) | 0.713525 | + | 10.0428i | 0.0293257 | + | 0.412757i | ||||
\(593\) | −32.8155 | − | 18.9460i | −1.34757 | − | 0.778020i | −0.359665 | − | 0.933082i | \(-0.617109\pi\) |
−0.987905 | + | 0.155062i | \(0.950442\pi\) | |||||||
\(594\) | 1.92818 | − | 4.67529i | 0.0791140 | − | 0.191830i | ||||
\(595\) | 8.97534i | 0.367953i | ||||||||
\(596\) | 13.8347 | + | 45.1610i | 0.566690 | + | 1.84987i | ||||
\(597\) | 0.956803 | − | 0.163388i | 0.0391593 | − | 0.00668703i | ||||
\(598\) | 0.876745 | + | 1.10159i | 0.0358528 | + | 0.0450473i | ||||
\(599\) | 10.0690 | + | 17.4399i | 0.411406 | + | 0.712577i | 0.995044 | − | 0.0994377i | \(-0.0317044\pi\) |
−0.583637 | + | 0.812014i | \(0.698371\pi\) | |||||||
\(600\) | 0.922388 | − | 1.99977i | 0.0376563 | − | 0.0816401i | ||||
\(601\) | 13.5387 | − | 23.4497i | 0.552254 | − | 0.956532i | −0.445858 | − | 0.895104i | \(-0.647101\pi\) |
0.998112 | − | 0.0614277i | \(-0.0195654\pi\) | |||||||
\(602\) | 7.75697 | + | 9.74626i | 0.316150 | + | 0.397228i | ||||
\(603\) | −24.4297 | + | 2.48811i | −0.994853 | + | 0.101324i | ||||
\(604\) | −14.5045 | − | 3.34011i | −0.590180 | − | 0.135907i | ||||
\(605\) | −21.2808 | − | 12.2865i | −0.865189 | − | 0.499517i | ||||
\(606\) | −2.60900 | + | 12.4958i | −0.105983 | + | 0.507606i | ||||
\(607\) | −2.70720 | + | 1.56300i | −0.109882 | + | 0.0634402i | −0.553934 | − | 0.832561i | \(-0.686874\pi\) |
0.444052 | + | 0.896001i | \(0.353541\pi\) | |||||||
\(608\) | −11.7840 | + | 2.62970i | −0.477903 | + | 0.106648i | ||||
\(609\) | 0.738795 | + | 4.32639i | 0.0299375 | + | 0.175314i | ||||
\(610\) | −11.4028 | − | 4.48802i | −0.461687 | − | 0.181715i | ||||
\(611\) | 0.218630 | 0.00884480 | ||||||||
\(612\) | −6.78279 | + | 15.5349i | −0.274178 | + | 0.627963i | ||||
\(613\) | −19.3265 | + | 33.4745i | −0.780590 | + | 1.35202i | 0.151009 | + | 0.988532i | \(0.451748\pi\) |
−0.931599 | + | 0.363489i | \(0.881586\pi\) | |||||||
\(614\) | 19.8597 | + | 7.81653i | 0.801470 | + | 0.315449i | ||||
\(615\) | 18.3370 | + | 6.78649i | 0.739420 | + | 0.273658i | ||||
\(616\) | 2.64106 | + | 0.205632i | 0.106411 | + | 0.00828513i | ||||
\(617\) | − | 0.936369i | − | 0.0376968i | −0.999822 | − | 0.0188484i | \(-0.994000\pi\) | ||
0.999822 | − | 0.0188484i | \(-0.00599999\pi\) | |||||||
\(618\) | 5.77607 | − | 27.6644i | 0.232348 | − | 1.11283i | ||||
\(619\) | 5.82574 | + | 3.36349i | 0.234156 | + | 0.135190i | 0.612488 | − | 0.790480i | \(-0.290169\pi\) |
−0.378332 | + | 0.925670i | \(0.623502\pi\) | |||||||
\(620\) | −7.35217 | − | 6.84835i | −0.295270 | − | 0.275036i | ||||
\(621\) | −11.8015 | − | 0.191189i | −0.473578 | − | 0.00767217i | ||||
\(622\) | −9.52371 | + | 1.42605i | −0.381866 | + | 0.0571792i | ||||
\(623\) | −6.32745 | − | 10.9595i | −0.253504 | − | 0.439081i | ||||
\(624\) | −2.09991 | − | 2.19325i | −0.0840639 | − | 0.0878003i | ||||
\(625\) | −27.0456 | −1.08182 | ||||||||
\(626\) | −8.02916 | + | 1.20226i | −0.320910 | + | 0.0480518i | ||||
\(627\) | −1.62484 | − | 1.95778i | −0.0648897 | − | 0.0781860i | ||||
\(628\) | −0.121951 | + | 0.529574i | −0.00486636 | + | 0.0211323i | ||||
\(629\) | 6.15838 | − | 3.55554i | 0.245551 | − | 0.141769i | ||||
\(630\) | 11.9121 | − | 6.30639i | 0.474589 | − | 0.251253i | ||||
\(631\) | −14.2327 | − | 8.21726i | −0.566595 | − | 0.327124i | 0.189193 | − | 0.981940i | \(-0.439413\pi\) |
−0.755788 | + | 0.654816i | \(0.772746\pi\) | |||||||
\(632\) | −7.85106 | + | 11.4439i | −0.312298 | + | 0.455213i | ||||
\(633\) | 33.0621 | − | 5.64584i | 1.31410 | − | 0.224402i | ||||
\(634\) | −19.9265 | − | 7.84284i | −0.791383 | − | 0.311479i | ||||
\(635\) | −10.8238 | − | 18.7473i | −0.429528 | − | 0.743964i | ||||
\(636\) | 24.8874 | + | 16.3339i | 0.986848 | + | 0.647681i | ||||
\(637\) | 1.12811 | + | 1.95394i | 0.0446973 | + | 0.0774179i | ||||
\(638\) | −1.68634 | − | 0.663723i | −0.0667628 | − | 0.0262770i | ||||
\(639\) | −3.49666 | + | 1.23008i | −0.138326 | + | 0.0486613i | ||||
\(640\) | 22.7826 | + | 13.3601i | 0.900562 | + | 0.528105i | ||||
\(641\) | 13.0413 | − | 7.52942i | 0.515102 | − | 0.297394i | −0.219826 | − | 0.975539i | \(-0.570549\pi\) |
0.734928 | + | 0.678145i | \(0.237216\pi\) | |||||||
\(642\) | −15.5896 | + | 17.4401i | −0.615273 | + | 0.688305i | ||||
\(643\) | − | 13.5056i | − | 0.532609i | −0.963889 | − | 0.266305i | \(-0.914197\pi\) | ||
0.963889 | − | 0.266305i | \(-0.0858027\pi\) | |||||||
\(644\) | −1.81089 | − | 5.91137i | −0.0713592 | − | 0.232941i | ||||
\(645\) | −20.1374 | + | 16.7128i | −0.792908 | + | 0.658065i | ||||
\(646\) | 5.31049 | + | 6.67237i | 0.208938 | + | 0.262521i | ||||
\(647\) | −9.41677 | + | 16.3103i | −0.370211 | + | 0.641225i | −0.989598 | − | 0.143861i | \(-0.954048\pi\) |
0.619386 | + | 0.785086i | \(0.287381\pi\) | |||||||
\(648\) | 25.3838 | − | 1.91327i | 0.997171 | − | 0.0751605i | ||||
\(649\) | −2.57043 | − | 4.45212i | −0.100898 | − | 0.174761i | ||||
\(650\) | 0.102044 | − | 0.259265i | 0.00400248 | − | 0.0101692i | ||||
\(651\) | −0.853874 | − | 5.00030i | −0.0334660 | − | 0.195977i | ||||
\(652\) | −8.53624 | + | 9.16425i | −0.334305 | + | 0.358900i | ||||
\(653\) | 4.78554 | + | 2.76293i | 0.187273 | + | 0.108122i | 0.590705 | − | 0.806888i | \(-0.298850\pi\) |
−0.403433 | + | 0.915009i | \(0.632183\pi\) | |||||||
\(654\) | 11.4638 | − | 12.8246i | 0.448271 | − | 0.501480i | ||||
\(655\) | − | 31.7302i | − | 1.23980i | ||||||
\(656\) | −8.46000 | + | 17.3948i | −0.330308 | + | 0.679154i | ||||
\(657\) | 21.4699 | + | 18.4141i | 0.837619 | + | 0.718402i | ||||
\(658\) | −0.893365 | − | 0.351618i | −0.0348270 | − | 0.0137075i | ||||
\(659\) | 13.9186 | + | 24.1077i | 0.542190 | + | 0.939101i | 0.998778 | + | 0.0494228i | \(0.0157382\pi\) |
−0.456588 | + | 0.889678i | \(0.650928\pi\) | |||||||
\(660\) | −0.318172 | + | 5.55623i | −0.0123848 | + | 0.216276i | ||||
\(661\) | −17.5366 | −0.682096 | −0.341048 | − | 0.940046i | \(-0.610782\pi\) | ||||
−0.341048 | + | 0.940046i | \(0.610782\pi\) | |||||||
\(662\) | 3.25096 | − | 2.58741i | 0.126352 | − | 0.100563i | ||||
\(663\) | −0.744378 | + | 2.01130i | −0.0289093 | + | 0.0781126i | ||||
\(664\) | −2.00357 | + | 25.7332i | −0.0777538 | + | 0.998642i | ||||
\(665\) | − | 6.78068i | − | 0.262944i | ||||||
\(666\) | −9.04601 | − | 5.67516i | −0.350526 | − | 0.219908i | ||||
\(667\) | 4.22956i | 0.163769i | ||||||||
\(668\) | 7.96349 | + | 7.41777i | 0.308117 | + | 0.287002i | ||||
\(669\) | −20.7370 | − | 24.9861i | −0.801737 | − | 0.966019i | ||||
\(670\) | 24.5010 | − | 11.3991i | 0.946556 | − | 0.440384i | ||||
\(671\) | 2.55455 | 0.0986171 | ||||||||
\(672\) | 5.05332 | + | 12.3393i | 0.194936 | + | 0.476000i | ||||
\(673\) | 8.68392 | 0.334741 | 0.167370 | − | 0.985894i | \(-0.446472\pi\) | ||||
0.167370 | + | 0.985894i | \(0.446472\pi\) | |||||||
\(674\) | −15.2252 | + | 38.6830i | −0.586452 | + | 1.49001i | ||||
\(675\) | 1.13499 | + | 2.04154i | 0.0436859 | + | 0.0785789i | ||||
\(676\) | 18.7440 | + | 17.4595i | 0.720922 | + | 0.671519i | ||||
\(677\) | −27.8950 | + | 16.1052i | −1.07209 | + | 0.618974i | −0.928753 | − | 0.370700i | \(-0.879118\pi\) |
−0.143341 | + | 0.989673i | \(0.545785\pi\) | |||||||
\(678\) | −2.22656 | + | 10.6641i | −0.0855104 | + | 0.409551i | ||||
\(679\) | − | 13.7026i | − | 0.525857i | ||||||
\(680\) | 1.44801 | − | 18.5977i | 0.0555286 | − | 0.713190i | ||||
\(681\) | 37.8310 | + | 14.0012i | 1.44969 | + | 0.536526i | ||||
\(682\) | 1.94901 | + | 0.767109i | 0.0746316 | + | 0.0293741i | ||||
\(683\) | 1.00609 | − | 1.74260i | 0.0384970 | − | 0.0666788i | −0.846135 | − | 0.532969i | \(-0.821076\pi\) |
0.884632 | + | 0.466290i | \(0.154410\pi\) | |||||||
\(684\) | 5.12426 | − | 11.7363i | 0.195931 | − | 0.448750i | ||||
\(685\) | −26.1652 | −0.999722 | ||||||||
\(686\) | −3.46222 | − | 23.1221i | −0.132188 | − | 0.882807i | ||||
\(687\) | −1.53014 | − | 8.96049i | −0.0583783 | − | 0.341864i | ||||
\(688\) | −14.5008 | − | 21.4466i | −0.552836 | − | 0.817644i | ||||
\(689\) | 3.26171 | + | 1.88315i | 0.124261 | + | 0.0717422i | ||||
\(690\) | 12.3385 | − | 4.05826i | 0.469718 | − | 0.154495i | ||||
\(691\) | 4.85015 | − | 2.80024i | 0.184508 | − | 0.106526i | −0.404901 | − | 0.914361i | \(-0.632694\pi\) |
0.589409 | + | 0.807835i | \(0.299361\pi\) | |||||||
\(692\) | 40.4675 | + | 9.31888i | 1.53834 | + | 0.354251i | ||||
\(693\) | −1.82921 | + | 2.13276i | −0.0694858 | + | 0.0810168i | ||||
\(694\) | 26.7337 | + | 33.5896i | 1.01480 | + | 1.27504i | ||||
\(695\) | 38.4803 | 1.45964 | ||||||||
\(696\) | −0.832864 | − | 9.08386i | −0.0315696 | − | 0.344323i | ||||
\(697\) | 13.6619 | 0.517481 | ||||||||
\(698\) | 7.95462 | − | 1.19110i | 0.301087 | − | 0.0450836i | ||||
\(699\) | −3.99532 | + | 10.7953i | −0.151117 | + | 0.408316i | ||||
\(700\) | −0.833943 | + | 0.895295i | −0.0315201 | + | 0.0338390i | ||||
\(701\) | 4.28034 | − | 2.47126i | 0.161666 | − | 0.0933380i | −0.416984 | − | 0.908914i | \(-0.636913\pi\) |
0.578650 | + | 0.815576i | \(0.303580\pi\) | |||||||
\(702\) | 3.19243 | − | 0.425273i | 0.120491 | − | 0.0160509i | ||||
\(703\) | −4.65253 | + | 2.68614i | −0.175473 | + | 0.101310i | ||||
\(704\) | −5.43933 | − | 0.852174i | −0.205003 | − | 0.0321175i | ||||
\(705\) | 0.700076 | − | 1.89160i | 0.0263664 | − | 0.0712418i | ||||
\(706\) | 1.80703 | + | 0.711224i | 0.0680083 | + | 0.0267673i | ||||
\(707\) | 3.54606 | − | 6.14196i | 0.133363 | − | 0.230992i | ||||
\(708\) | 14.1982 | − | 21.6334i | 0.533603 | − | 0.813031i | ||||
\(709\) | −24.0140 | + | 41.5934i | −0.901864 | + | 1.56207i | −0.0767920 | + | 0.997047i | \(0.524468\pi\) |
−0.825072 | + | 0.565027i | \(0.808866\pi\) | |||||||
\(710\) | 3.19162 | − | 2.54018i | 0.119779 | − | 0.0953313i | ||||
\(711\) | −4.88484 | − | 13.8858i | −0.183196 | − | 0.520757i | ||||
\(712\) | 11.3429 | + | 23.7298i | 0.425094 | + | 0.889312i | ||||
\(713\) | − | 4.88838i | − | 0.183071i | ||||||
\(714\) | 6.27642 | − | 7.02143i | 0.234889 | − | 0.262770i | ||||
\(715\) | 0.704118i | 0.0263325i | ||||||||
\(716\) | 41.6133 | − | 12.7479i | 1.55516 | − | 0.476410i | ||||
\(717\) | 31.5826 | + | 11.6886i | 1.17947 | + | 0.436519i | ||||
\(718\) | 47.2553 | − | 7.07583i | 1.76355 | − | 0.264068i | ||||
\(719\) | −5.95805 | + | 10.3196i | −0.222198 | + | 0.384858i | −0.955475 | − | 0.295072i | \(-0.904656\pi\) |
0.733277 | + | 0.679930i | \(0.237990\pi\) | |||||||
\(720\) | −25.7003 | + | 11.1456i | −0.957795 | + | 0.415372i | ||||
\(721\) | −7.85065 | + | 13.5977i | −0.292373 | + | 0.506406i | ||||
\(722\) | 12.7209 | + | 15.9832i | 0.473423 | + | 0.594834i | ||||
\(723\) | 3.51646 | − | 2.91845i | 0.130779 | − | 0.108538i | ||||
\(724\) | 6.89340 | + | 6.42101i | 0.256191 | + | 0.238635i | ||||
\(725\) | 0.724891 | − | 0.418516i | 0.0269218 | − | 0.0155433i | ||||
\(726\) | 8.05614 | + | 24.4934i | 0.298991 | + | 0.909034i | ||||
\(727\) | −28.6734 | − | 16.5546i | −1.06344 | − | 0.613977i | −0.137058 | − | 0.990563i | \(-0.543765\pi\) |
−0.926382 | + | 0.376586i | \(0.877098\pi\) | |||||||
\(728\) | 0.727544 | + | 1.52205i | 0.0269646 | + | 0.0564108i | ||||
\(729\) | −14.2503 | + | 22.9331i | −0.527790 | + | 0.849375i | ||||
\(730\) | −28.9636 | − | 11.3997i | −1.07199 | − | 0.421924i | ||||
\(731\) | −9.14258 | + | 15.8354i | −0.338151 | + | 0.585694i | ||||
\(732\) | 5.78200 | + | 11.4849i | 0.213709 | + | 0.424496i | ||||
\(733\) | −8.06181 | − | 13.9635i | −0.297770 | − | 0.515752i | 0.677856 | − | 0.735195i | \(-0.262909\pi\) |
−0.975625 | + | 0.219443i | \(0.929576\pi\) | |||||||
\(734\) | 16.1043 | − | 12.8172i | 0.594419 | − | 0.473093i | ||||
\(735\) | 20.5180 | − | 3.50375i | 0.756817 | − | 0.129238i | ||||
\(736\) | 2.79864 | + | 12.5410i | 0.103159 | + | 0.462269i | ||||
\(737\) | −3.88236 | + | 4.08175i | −0.143009 | + | 0.150353i | ||||
\(738\) | −9.59933 | − | 18.1321i | −0.353356 | − | 0.667452i | ||||
\(739\) | −27.8636 | − | 16.0871i | −1.02498 | − | 0.591772i | −0.109437 | − | 0.993994i | \(-0.534905\pi\) |
−0.915542 | + | 0.402222i | \(0.868238\pi\) | |||||||
\(740\) | 11.4519 | + | 2.63715i | 0.420980 | + | 0.0969436i | ||||
\(741\) | 0.562362 | − | 1.51950i | 0.0206589 | − | 0.0558202i | ||||
\(742\) | −10.2994 | − | 12.9407i | −0.378101 | − | 0.475066i | ||||
\(743\) | 21.3745 | − | 37.0217i | 0.784155 | − | 1.35820i | −0.145348 | − | 0.989381i | \(-0.546430\pi\) |
0.929503 | − | 0.368815i | \(-0.120237\pi\) | |||||||
\(744\) | 0.962596 | + | 10.4988i | 0.0352905 | + | 0.384906i | ||||
\(745\) | 55.1304 | 2.01982 | ||||||||
\(746\) | 27.6138 | + | 34.6954i | 1.01101 | + | 1.27029i | ||||
\(747\) | −20.7806 | − | 17.8229i | −0.760321 | − | 0.652106i | ||||
\(748\) | 1.13901 | + | 3.71810i | 0.0416462 | + | 0.135947i | ||||
\(749\) | 11.2551 | − | 6.49813i | 0.411252 | − | 0.237436i | ||||
\(750\) | 19.3995 | + | 17.3411i | 0.708368 | + | 0.633207i | ||||
\(751\) | − | 25.6444i | − | 0.935776i | −0.883788 | − | 0.467888i | \(-0.845015\pi\) | ||
0.883788 | − | 0.467888i | \(-0.154985\pi\) | |||||||
\(752\) | 1.79440 | + | 0.872712i | 0.0654352 | + | 0.0318245i | ||||
\(753\) | −4.40600 | − | 25.8016i | −0.160563 | − | 0.940261i | ||||
\(754\) | −0.170905 | − | 1.14137i | −0.00622399 | − | 0.0415663i | ||||
\(755\) | −8.68646 | + | 15.0454i | −0.316133 | + | 0.547558i | ||||
\(756\) | −13.7289 | − | 3.39658i | −0.499315 | − | 0.123532i | ||||
\(757\) | −0.236350 | − | 0.409370i | −0.00859028 | − | 0.0148788i | 0.861698 | − | 0.507421i | \(-0.169401\pi\) |
−0.870289 | + | 0.492542i | \(0.836068\pi\) | |||||||
\(758\) | −41.9474 | − | 16.5100i | −1.52360 | − | 0.599671i | ||||
\(759\) | −2.08355 | + | 1.72922i | −0.0756282 | + | 0.0627669i | ||||
\(760\) | −1.09394 | + | 14.0502i | −0.0396814 | + | 0.509654i | ||||
\(761\) | − | 21.8514i | − | 0.792112i | −0.918226 | − | 0.396056i | \(-0.870379\pi\) | ||
0.918226 | − | 0.396056i | \(-0.129621\pi\) | |||||||
\(762\) | −4.64248 | + | 22.2351i | −0.168179 | + | 0.805492i | ||||
\(763\) | −8.27642 | + | 4.77840i | −0.299627 | + | 0.172990i | ||||
\(764\) | −2.68155 | + | 11.6447i | −0.0970151 | + | 0.421291i | ||||
\(765\) | 15.0184 | + | 12.8808i | 0.542991 | + | 0.465708i | ||||
\(766\) | −11.9017 | + | 30.2389i | −0.430025 | + | 1.09257i | ||||
\(767\) | 1.63693 | − | 2.83524i | 0.0591060 | − | 0.102375i | ||||
\(768\) | −8.48020 | − | 26.3834i | −0.306003 | − | 0.952031i | ||||
\(769\) | −21.8117 | − | 37.7791i | −0.786552 | − | 1.36235i | −0.928068 | − | 0.372412i | \(-0.878531\pi\) |
0.141516 | − | 0.989936i | \(-0.454802\pi\) | |||||||
\(770\) | 1.13242 | − | 2.87717i | 0.0408096 | − | 0.103686i | ||||
\(771\) | −9.16485 | + | 24.7633i | −0.330064 | + | 0.891830i | ||||
\(772\) | −8.68703 | + | 2.66119i | −0.312653 | + | 0.0957785i | ||||
\(773\) | −19.4600 | + | 11.2352i | −0.699928 | + | 0.404104i | −0.807321 | − | 0.590113i | \(-0.799083\pi\) |
0.107393 | + | 0.994217i | \(0.465750\pi\) | |||||||
\(774\) | 27.4407 | + | 1.00753i | 0.986335 | + | 0.0362150i | ||||
\(775\) | −0.837804 | + | 0.483707i | −0.0300948 | + | 0.0173753i | ||||
\(776\) | −2.21067 | + | 28.3930i | −0.0793583 | + | 1.01925i | ||||
\(777\) | 3.78905 | + | 4.56545i | 0.135931 | + | 0.163785i | ||||
\(778\) | −23.2866 | − | 9.16533i | −0.834865 | − | 0.328593i | ||||
\(779\) | −10.3213 | −0.369798 | ||||||||
\(780\) | −3.16563 | + | 1.59371i | −0.113348 | + | 0.0570640i | ||||
\(781\) | −0.425167 | + | 0.736411i | −0.0152137 | + | 0.0263508i | ||||
\(782\) | 7.10105 | − | 5.65166i | 0.253933 | − | 0.202103i | ||||
\(783\) | 8.29960 | + | 4.97275i | 0.296603 | + | 0.177711i | ||||
\(784\) | 1.45934 | + | 20.5401i | 0.0521193 | + | 0.733575i | ||||
\(785\) | 0.549322 | + | 0.317151i | 0.0196061 | + | 0.0113196i | ||||
\(786\) | −22.1888 | + | 24.8226i | −0.791449 | + | 0.885393i | ||||
\(787\) | 36.0418 | + | 20.8087i | 1.28475 | + | 0.741752i | 0.977713 | − | 0.209945i | \(-0.0673286\pi\) |
0.307038 | + | 0.951697i | \(0.400662\pi\) | |||||||
\(788\) | −26.0888 | + | 28.0081i | −0.929375 | + | 0.997748i | ||||
\(789\) | −5.97535 | + | 4.95918i | −0.212728 | + | 0.176551i | ||||
\(790\) | 10.0874 | + | 12.6744i | 0.358895 | + | 0.450935i | ||||
\(791\) | 3.02626 | − | 5.24164i | 0.107602 | − | 0.186371i | ||||
\(792\) | 4.13436 | − | 4.12416i | 0.146908 | − | 0.146546i | ||||
\(793\) | 0.813405 | + | 1.40886i | 0.0288849 | + | 0.0500301i | ||||
\(794\) | 7.63592 | − | 1.14337i | 0.270989 | − | 0.0405768i | ||||
\(795\) | 26.7375 | − | 22.1905i | 0.948281 | − | 0.787016i | ||||
\(796\) | 1.09223 | + | 0.251519i | 0.0387130 | + | 0.00891484i | ||||
\(797\) | 37.8132 | − | 21.8314i | 1.33941 | − | 0.773310i | 0.352691 | − | 0.935740i | \(-0.385267\pi\) |
0.986720 | + | 0.162430i | \(0.0519332\pi\) | |||||||
\(798\) | −4.74171 | + | 5.30454i | −0.167855 | + | 0.187779i | ||||
\(799\) | − | 1.40933i | − | 0.0498584i | ||||||
\(800\) | 1.87244 | − | 1.72059i | 0.0662009 | − | 0.0608321i | ||||
\(801\) | −27.4192 | − | 5.14065i | −0.968808 | − | 0.181636i | ||||
\(802\) | 2.36549 | + | 15.7977i | 0.0835283 | + | 0.557836i | ||||
\(803\) | 6.48865 | 0.228979 | ||||||||
\(804\) | −27.1385 | − | 8.21595i | −0.957101 | − | 0.289754i | ||||
\(805\) | −7.21631 | −0.254342 | ||||||||
\(806\) | 0.197526 | + | 1.31916i | 0.00695756 | + | 0.0464654i | ||||
\(807\) | −2.27589 | − | 2.74224i | −0.0801152 | − | 0.0965314i | ||||
\(808\) | −8.33866 | + | 12.1546i | −0.293353 | + | 0.427598i | ||||
\(809\) | 6.02792i | 0.211930i | 0.994370 | + | 0.105965i | \(0.0337932\pi\) | ||||
−0.994370 | + | 0.105965i | \(0.966207\pi\) | |||||||
\(810\) | 6.54304 | − | 28.9830i | 0.229899 | − | 1.01836i | ||||
\(811\) | −25.2476 | + | 14.5767i | −0.886561 | + | 0.511856i | −0.872816 | − | 0.488049i | \(-0.837709\pi\) |
−0.0137452 | + | 0.999906i | \(0.504375\pi\) | |||||||
\(812\) | −1.13730 | + | 4.93874i | −0.0399113 | + | 0.173316i | ||||
\(813\) | 16.1605 | + | 19.4719i | 0.566773 | + | 0.682909i | ||||
\(814\) | −2.42276 | + | 0.362774i | −0.0849176 | + | 0.0127152i | ||||
\(815\) | 7.30909 | + | 12.6597i | 0.256026 | + | 0.443450i | ||||
\(816\) | −14.1381 | + | 13.5364i | −0.494932 | + | 0.473870i | ||||
\(817\) | 6.90703 | − | 11.9633i | 0.241646 | − | 0.418544i | ||||
\(818\) | −19.6907 | − | 24.7404i | −0.688468 | − | 0.865028i | ||||
\(819\) | −1.75868 | − | 0.329725i | −0.0614534 | − | 0.0115215i | ||||
\(820\) | 16.5206 | + | 15.3885i | 0.576925 | + | 0.537390i | ||||
\(821\) | −30.9189 | − | 17.8510i | −1.07908 | − | 0.623005i | −0.148429 | − | 0.988923i | \(-0.547422\pi\) |
−0.930647 | + | 0.365918i | \(0.880755\pi\) | |||||||
\(822\) | 20.4691 | + | 18.2972i | 0.713942 | + | 0.638190i | ||||
\(823\) | −22.5484 | − | 13.0183i | −0.785988 | − | 0.453790i | 0.0525602 | − | 0.998618i | \(-0.483262\pi\) |
−0.838548 | + | 0.544827i | \(0.816595\pi\) | |||||||
\(824\) | 18.4610 | − | 26.9091i | 0.643120 | − | 0.937425i | ||||
\(825\) | 0.502535 | + | 0.185987i | 0.0174960 | + | 0.00647523i | ||||
\(826\) | −11.2487 | + | 8.95273i | −0.391391 | + | 0.311505i | ||||
\(827\) | −1.63635 | + | 2.83425i | −0.0569016 | + | 0.0985564i | −0.893073 | − | 0.449912i | \(-0.851455\pi\) |
0.836171 | + | 0.548468i | \(0.184789\pi\) | |||||||
\(828\) | −12.4903 | − | 5.45347i | −0.434069 | − | 0.189521i | ||||
\(829\) | 0.773938 | 0.0268800 | 0.0134400 | − | 0.999910i | \(-0.495722\pi\) | ||||
0.0134400 | + | 0.999910i | \(0.495722\pi\) | |||||||
\(830\) | 28.0338 | + | 11.0338i | 0.973066 | + | 0.382987i | ||||
\(831\) | 43.0689 | − | 35.7446i | 1.49404 | − | 1.23996i | ||||
\(832\) | −1.26198 | − | 3.27120i | −0.0437513 | − | 0.113408i | ||||
\(833\) | 12.5955 | − | 7.27199i | 0.436407 | − | 0.251960i | ||||
\(834\) | −30.1032 | − | 26.9091i | −1.04239 | − | 0.931788i | ||||
\(835\) | 11.0010 | − | 6.35140i | 0.380704 | − | 0.219799i | ||||
\(836\) | −0.860495 | − | 2.80895i | −0.0297609 | − | 0.0971495i | ||||
\(837\) | −9.59240 | − | 5.74733i | −0.331562 | − | 0.198657i | ||||
\(838\) | 6.79961 | − | 17.2760i | 0.234889 | − | 0.596788i | ||||
\(839\) | 8.29073 | + | 14.3600i | 0.286228 | + | 0.495761i | 0.972906 | − | 0.231200i | \(-0.0742652\pi\) |
−0.686678 | + | 0.726961i | \(0.740932\pi\) | |||||||
\(840\) | 15.4986 | − | 1.42100i | 0.534751 | − | 0.0490292i | ||||
\(841\) | −12.7665 | + | 22.1121i | −0.440223 | + | 0.762488i | ||||
\(842\) | 17.3954 | − | 44.1971i | 0.599487 | − | 1.52313i | ||||
\(843\) | 28.4155 | − | 4.85237i | 0.978683 | − | 0.167125i | ||||
\(844\) | 37.7417 | + | 8.69118i | 1.29912 | + | 0.299163i | ||||
\(845\) | 25.8934 | − | 14.9495i | 0.890759 | − | 0.514280i | ||||
\(846\) | −1.87046 | + | 0.990242i | −0.0643078 | + | 0.0340452i | ||||
\(847\) | − | 14.3253i | − | 0.492222i | ||||||
\(848\) | 19.2535 | + | 28.4758i | 0.661167 | + | 0.977864i | ||||
\(849\) | −14.1231 | − | 17.0170i | −0.484702 | − | 0.584021i | ||||
\(850\) | −1.67127 | − | 0.657793i | −0.0573242 | − | 0.0225621i | ||||
\(851\) | 2.85871 | + | 4.95143i | 0.0979954 | + | 0.169733i | ||||
\(852\) | −4.27315 | − | 0.244698i | −0.146396 | − | 0.00838320i | ||||
\(853\) | 25.2666 | − | 43.7630i | 0.865111 | − | 1.49842i | −0.00182505 | − | 0.999998i | \(-0.500581\pi\) |
0.866936 | − | 0.498419i | \(-0.166086\pi\) | |||||||
\(854\) | −1.05790 | − | 7.06507i | −0.0362005 | − | 0.241762i | ||||
\(855\) | −11.3461 | − | 9.73121i | −0.388028 | − | 0.332800i | ||||
\(856\) | −24.3699 | + | 11.6489i | −0.832946 | + | 0.398151i | ||||
\(857\) | − | 18.2387i | − | 0.623023i | −0.950242 | − | 0.311512i | \(-0.899165\pi\) | ||
0.950242 | − | 0.311512i | \(-0.100835\pi\) | |||||||
\(858\) | 0.492387 | − | 0.550833i | 0.0168098 | − | 0.0188051i | ||||
\(859\) | −33.1695 | + | 19.1504i | −1.13173 | + | 0.653405i | −0.944370 | − | 0.328886i | \(-0.893327\pi\) |
−0.187361 | + | 0.982291i | \(0.559993\pi\) | |||||||
\(860\) | −28.8924 | + | 8.85091i | −0.985221 | + | 0.301814i | ||||
\(861\) | 1.91869 | + | 11.2359i | 0.0653888 | + | 0.382917i | ||||
\(862\) | −16.7191 | − | 21.0067i | −0.569453 | − | 0.715491i | ||||
\(863\) | −10.4245 | −0.354855 | −0.177427 | − | 0.984134i | \(-0.556777\pi\) | ||||
−0.177427 | + | 0.984134i | \(0.556777\pi\) | |||||||
\(864\) | 27.8995 | + | 9.25293i | 0.949161 | + | 0.314791i | ||||
\(865\) | 24.2352 | − | 41.9766i | 0.824021 | − | 1.42725i | ||||
\(866\) | 27.0428 | + | 33.9779i | 0.918950 | + | 1.15462i | ||||
\(867\) | −14.6491 | − | 5.42159i | −0.497509 | − | 0.184127i | ||||
\(868\) | 1.31445 | − | 5.70803i | 0.0446153 | − | 0.193743i | ||||
\(869\) | −2.92440 | − | 1.68840i | −0.0992034 | − | 0.0572751i | ||||
\(870\) | −10.4225 | − | 2.17612i | −0.353356 | − | 0.0737774i | ||||
\(871\) | −3.48733 | − | 0.841474i | −0.118164 | − | 0.0285122i | ||||
\(872\) | 17.9204 | − | 8.56602i | 0.606862 | − | 0.290082i | ||||
\(873\) | −22.9285 | − | 19.6651i | −0.776011 | − | 0.665563i | ||||
\(874\) | −5.36469 | + | 4.26971i | −0.181463 | + | 0.144425i | ||||
\(875\) | −7.22819 | − | 12.5196i | −0.244357 | − | 0.423240i | ||||
\(876\) | 14.6865 | + | 29.1722i | 0.496211 | + | 0.985638i | ||||
\(877\) | −23.7377 | + | 41.1150i | −0.801567 | + | 1.38835i | 0.117018 | + | 0.993130i | \(0.462667\pi\) |
−0.918585 | + | 0.395224i | \(0.870667\pi\) | |||||||
\(878\) | −37.2005 | − | 14.6417i | −1.25546 | − | 0.494133i | ||||
\(879\) | 24.9206 | + | 30.0270i | 0.840551 | + | 1.01279i | ||||
\(880\) | −2.81066 | + | 5.77906i | −0.0947472 | + | 0.194812i | ||||
\(881\) | −35.0753 | − | 20.2508i | −1.18172 | − | 0.682265i | −0.225307 | − | 0.974288i | \(-0.572338\pi\) |
−0.956411 | + | 0.292023i | \(0.905672\pi\) | |||||||
\(882\) | −18.5014 | − | 11.6072i | −0.622975 | − | 0.390834i | ||||
\(883\) | 38.7774 | − | 22.3882i | 1.30496 | − | 0.753421i | 0.323713 | − | 0.946155i | \(-0.395069\pi\) |
0.981251 | + | 0.192734i | \(0.0617354\pi\) | |||||||
\(884\) | −1.68789 | + | 1.81207i | −0.0567700 | + | 0.0609466i | ||||
\(885\) | −19.2891 | − | 23.2416i | −0.648396 | − | 0.781257i | ||||
\(886\) | 22.4414 | + | 28.1965i | 0.753932 | + | 0.947280i | ||||
\(887\) | 17.1003 | − | 29.6186i | 0.574171 | − | 0.994494i | −0.421960 | − | 0.906615i | \(-0.638658\pi\) |
0.996131 | − | 0.0878793i | \(-0.0280090\pi\) | |||||||
\(888\) | −7.11470 | − | 10.0713i | −0.238754 | − | 0.337972i | ||||
\(889\) | 6.30990 | − | 10.9291i | 0.211627 | − | 0.366549i | ||||
\(890\) | 30.3609 | − | 4.54612i | 1.01770 | − | 0.152386i | ||||
\(891\) | 0.943570 | + | 6.12160i | 0.0316108 | + | 0.205081i | ||||
\(892\) | −10.9821 | − | 35.8492i | −0.367707 | − | 1.20032i | ||||
\(893\) | 1.06472i | 0.0356294i | ||||||||
\(894\) | −43.1286 | − | 38.5525i | −1.44244 | − | 1.28939i | ||||
\(895\) | − | 50.7995i | − | 1.69804i | ||||||
\(896\) | −0.104291 | + | 15.3964i | −0.00348411 | + | 0.514357i | ||||
\(897\) | −1.61712 | − | 0.598492i | −0.0539941 | − | 0.0199831i | ||||
\(898\) | 2.68279 | − | 2.13521i | 0.0895258 | − | 0.0712528i | ||||
\(899\) | −2.00358 | + | 3.47029i | −0.0668230 | + | 0.115741i | ||||
\(900\) | 0.301270 | + | 2.68030i | 0.0100423 | + | 0.0893435i | ||||
\(901\) | 12.1391 | − | 21.0256i | 0.404412 | − | 0.700463i | ||||
\(902\) | −4.37951 | − | 1.72372i | −0.145822 | − | 0.0573937i | ||||
\(903\) | −14.3074 | − | 5.29513i | −0.476121 | − | 0.176211i | ||||
\(904\) | −7.11634 | + | 10.3729i | −0.236686 | + | 0.344998i | ||||
\(905\) | 9.52270 | − | 5.49794i | 0.316545 | − | 0.182758i | ||||
\(906\) | 17.3166 | − | 5.69563i | 0.575306 | − | 0.189225i | ||||
\(907\) | −25.3447 | + | 14.6328i | −0.841558 | + | 0.485874i | −0.857794 | − | 0.513994i | \(-0.828165\pi\) |
0.0162355 | + | 0.999868i | \(0.494832\pi\) | |||||||
\(908\) | 34.0836 | + | 31.7480i | 1.13111 | + | 1.05359i | ||||
\(909\) | −5.18823 | − | 14.7482i | −0.172083 | − | 0.489166i | ||||
\(910\) | 1.94737 | − | 0.291592i | 0.0645546 | − | 0.00966617i | ||||
\(911\) | 9.55275 | 0.316497 | 0.158248 | − | 0.987399i | \(-0.449415\pi\) | ||||
0.158248 | + | 0.987399i | \(0.449415\pi\) | |||||||
\(912\) | 10.6810 | − | 10.2265i | 0.353685 | − | 0.338633i | ||||
\(913\) | −6.28033 | −0.207849 | ||||||||
\(914\) | −5.57276 | − | 7.00191i | −0.184330 | − | 0.231603i | ||||
\(915\) | 14.7942 | − | 2.52632i | 0.489081 | − | 0.0835177i | ||||
\(916\) | 2.35548 | − | 10.2287i | 0.0778273 | − | 0.337967i | ||||
\(917\) | 16.0195 | − | 9.24884i | 0.529009 | − | 0.305424i | ||||
\(918\) | −2.74139 | − | 20.5790i | −0.0904792 | − | 0.679209i | ||||
\(919\) | −10.9223 | − | 6.30600i | −0.360294 | − | 0.208016i | 0.308916 | − | 0.951089i | \(-0.400034\pi\) |
−0.669210 | + | 0.743074i | \(0.733367\pi\) | |||||||
\(920\) | 14.9529 | + | 1.16422i | 0.492981 | + | 0.0383833i | ||||
\(921\) | −25.7662 | + | 4.39995i | −0.849025 | + | 0.144983i | ||||
\(922\) | 2.79531 | + | 18.6682i | 0.0920587 | + | 0.614805i | ||||
\(923\) | −0.541518 | −0.0178243 | ||||||||
\(924\) | −2.89789 | + | 1.45892i | −0.0953335 | + | 0.0479949i | ||||
\(925\) | 0.565741 | − | 0.979892i | 0.0186014 | − | 0.0322186i | ||||
\(926\) | −24.0476 | − | 9.46486i | −0.790254 | − | 0.311035i | ||||
\(927\) | 11.4862 | + | 32.6511i | 0.377258 | + | 1.07240i | ||||
\(928\) | 3.15336 | − | 10.0500i | 0.103514 | − | 0.329909i | ||||
\(929\) | − | 44.1499i | − | 1.44851i | −0.689532 | − | 0.724255i | \(-0.742184\pi\) | ||
0.689532 | − | 0.724255i | \(-0.257816\pi\) | |||||||
\(930\) | 12.0460 | + | 2.51509i | 0.395003 | + | 0.0824730i | ||||
\(931\) | −9.51561 | + | 5.49384i | −0.311862 | + | 0.180053i | ||||
\(932\) | −9.05947 | + | 9.72597i | −0.296753 | + | 0.318585i | ||||
\(933\) | 9.07565 | − | 7.53224i | 0.297123 | − | 0.246594i | ||||
\(934\) | −8.27812 | + | 21.0324i | −0.270868 | + | 0.688203i | ||||
\(935\) | 4.53888 | 0.148437 | ||||||||
\(936\) | 3.59096 | + | 0.966952i | 0.117374 | + | 0.0316058i | ||||
\(937\) | 20.8047 | 0.679661 | 0.339830 | − | 0.940487i | \(-0.389630\pi\) | ||||
0.339830 | + | 0.940487i | \(0.389630\pi\) | |||||||
\(938\) | 12.8966 | + | 9.04704i | 0.421090 | + | 0.295396i | ||||
\(939\) | 7.65141 | − | 6.35021i | 0.249694 | − | 0.207231i | ||||
\(940\) | 1.58744 | − | 1.70423i | 0.0517766 | − | 0.0555857i | ||||
\(941\) | − | 23.3576i | − | 0.761436i | −0.924691 | − | 0.380718i | \(-0.875677\pi\) | ||
0.924691 | − | 0.380718i | \(-0.124323\pi\) | |||||||
\(942\) | −0.207953 | − | 0.632247i | −0.00677548 | − | 0.0205997i | ||||
\(943\) | 10.9844i | 0.357701i | ||||||||
\(944\) | 24.7526 | − | 16.7361i | 0.805630 | − | 0.544713i | ||||
\(945\) | −8.48431 | + | 14.1605i | −0.275995 | + | 0.460640i | ||||
\(946\) | 4.92874 | − | 3.92274i | 0.160247 | − | 0.127539i | ||||
\(947\) | −39.0058 | −1.26752 | −0.633760 | − | 0.773530i | \(-0.718489\pi\) | ||||
−0.633760 | + | 0.773530i | \(0.718489\pi\) | |||||||
\(948\) | 0.971731 | − | 16.9693i | 0.0315604 | − | 0.551138i | ||||
\(949\) | 2.06608 | + | 3.57856i | 0.0670679 | + | 0.116165i | ||||
\(950\) | 1.26261 | + | 0.496949i | 0.0409645 | + | 0.0161232i | ||||
\(951\) | 25.8529 | − | 4.41476i | 0.838338 | − | 0.143159i | ||||
\(952\) | 9.81140 | − | 4.68988i | 0.317989 | − | 0.152000i | ||||
\(953\) | − | 28.4724i | − | 0.922313i | −0.887319 | − | 0.461156i | \(-0.847435\pi\) | ||
0.887319 | − | 0.461156i | \(-0.152565\pi\) | |||||||
\(954\) | −36.4345 | − | 1.33776i | −1.17961 | − | 0.0433115i | ||||
\(955\) | 12.0789 | + | 6.97378i | 0.390866 | + | 0.225666i | ||||
\(956\) | 28.4541 | + | 26.5042i | 0.920271 | + | 0.857207i | ||||
\(957\) | 2.18788 | − | 0.373612i | 0.0707241 | − | 0.0120772i | ||||
\(958\) | −3.28537 | + | 8.34723i | −0.106146 | + | 0.269687i | ||||
\(959\) | −7.62674 | − | 13.2099i | −0.246280 | − | 0.426570i | ||||
\(960\) | −32.3437 | + | 0.444031i | −1.04389 | + | 0.0143310i | ||||
\(961\) | −13.1843 | + | 22.8359i | −0.425301 | + | 0.736643i | ||||
\(962\) | −0.971515 | − | 1.22066i | −0.0313229 | − | 0.0393558i | ||||
\(963\) | 5.27931 | − | 28.1588i | 0.170124 | − | 0.907404i | ||||
\(964\) | 5.04530 | − | 1.54558i | 0.162498 | − | 0.0497798i | ||||
\(965\) | 10.6047i | 0.341378i | ||||||||
\(966\) | 5.64534 | + | 5.04634i | 0.181636 | + | 0.162363i | ||||
\(967\) | 3.05677 | − | 1.76483i | 0.0982991 | − | 0.0567530i | −0.450045 | − | 0.893006i | \(-0.648592\pi\) |
0.548344 | + | 0.836253i | \(0.315259\pi\) | |||||||
\(968\) | −2.31112 | + | 29.6832i | −0.0742823 | + | 0.954055i | ||||
\(969\) | −9.79497 | − | 3.62509i | −0.314660 | − | 0.116455i | ||||
\(970\) | 30.9314 | + | 12.1742i | 0.993146 | + | 0.390891i | ||||
\(971\) | −2.15537 | − | 3.73322i | −0.0691693 | − | 0.119805i | 0.829367 | − | 0.558705i | \(-0.188702\pi\) |
−0.898536 | + | 0.438900i | \(0.855368\pi\) | |||||||
\(972\) | −25.3863 | + | 18.0979i | −0.814267 | + | 0.580491i | ||||
\(973\) | 11.2164 | + | 19.4273i | 0.359581 | + | 0.622812i | ||||
\(974\) | −7.07695 | − | 2.78540i | −0.226760 | − | 0.0892501i | ||||
\(975\) | 0.0574408 | + | 0.336374i | 0.00183958 | + | 0.0107726i | ||||
\(976\) | 1.05224 | + | 14.8101i | 0.0336813 | + | 0.474061i | ||||
\(977\) | −4.67051 | − | 2.69652i | −0.149423 | − | 0.0862694i | 0.423424 | − | 0.905931i | \(-0.360828\pi\) |
−0.572847 | + | 0.819662i | \(0.694161\pi\) | |||||||
\(978\) | 3.13498 | − | 15.0149i | 0.100245 | − | 0.480125i | ||||
\(979\) | −5.54226 | + | 3.19982i | −0.177131 | + | 0.102267i | ||||
\(980\) | 23.4221 | + | 5.39365i | 0.748191 | + | 0.172294i | ||||
\(981\) | −3.88214 | + | 20.7066i | −0.123947 | + | 0.661109i | ||||
\(982\) | −40.2546 | + | 6.02758i | −1.28458 | + | 0.192348i | ||||
\(983\) | −24.4522 | −0.779904 | −0.389952 | − | 0.920835i | \(-0.627508\pi\) | ||||
−0.389952 | + | 0.920835i | \(0.627508\pi\) | |||||||
\(984\) | −2.16299 | − | 23.5913i | −0.0689537 | − | 0.752063i | ||||
\(985\) | 22.3383 | + | 38.6911i | 0.711757 | + | 1.23280i | ||||
\(986\) | −7.35750 | + | 1.10168i | −0.234311 | + | 0.0350848i | ||||
\(987\) | 1.15906 | − | 0.197927i | 0.0368934 | − | 0.00630009i | ||||
\(988\) | 1.27517 | − | 1.36898i | 0.0405685 | − | 0.0435531i | ||||
\(989\) | −12.7319 | − | 7.35078i | −0.404852 | − | 0.233741i | ||||
\(990\) | −3.18917 | − | 6.02401i | −0.101359 | − | 0.191455i | ||||
\(991\) | 43.9777i | 1.39700i | 0.715611 | + | 0.698499i | \(0.246149\pi\) | ||||
−0.715611 | + | 0.698499i | \(0.753851\pi\) | |||||||
\(992\) | −3.64455 | + | 11.6155i | −0.115714 | + | 0.368792i | ||||
\(993\) | −1.76624 | + | 4.77237i | −0.0560500 | + | 0.151447i | ||||
\(994\) | 2.21275 | + | 0.870913i | 0.0701842 | + | 0.0276237i | ||||
\(995\) | 0.654113 | − | 1.13296i | 0.0207368 | − | 0.0359172i | ||||
\(996\) | −14.2150 | − | 28.2356i | −0.450419 | − | 0.894680i | ||||
\(997\) | 8.58744 | 0.271967 | 0.135984 | − | 0.990711i | \(-0.456581\pi\) | ||||
0.135984 | + | 0.990711i | \(0.456581\pi\) | |||||||
\(998\) | −26.7231 | − | 10.5179i | −0.845906 | − | 0.332938i | ||||
\(999\) | 13.0772 | + | 0.211856i | 0.413743 | + | 0.00670282i |
(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 | 804.2.l.a.431.7 | ✓ | 264 | |
3.2 | odd | 2 | inner | 804.2.l.a.431.126 | yes | 264 | |
4.3 | odd | 2 | inner | 804.2.l.a.431.51 | yes | 264 | |
12.11 | even | 2 | inner | 804.2.l.a.431.82 | yes | 264 | |
67.37 | even | 3 | inner | 804.2.l.a.707.82 | yes | 264 | |
201.104 | odd | 6 | inner | 804.2.l.a.707.51 | yes | 264 | |
268.171 | odd | 6 | inner | 804.2.l.a.707.126 | yes | 264 | |
804.707 | even | 6 | inner | 804.2.l.a.707.7 | yes | 264 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.l.a.431.7 | ✓ | 264 | 1.1 | even | 1 | trivial | |
804.2.l.a.431.51 | yes | 264 | 4.3 | odd | 2 | inner | |
804.2.l.a.431.82 | yes | 264 | 12.11 | even | 2 | inner | |
804.2.l.a.431.126 | yes | 264 | 3.2 | odd | 2 | inner | |
804.2.l.a.707.7 | yes | 264 | 804.707 | even | 6 | inner | |
804.2.l.a.707.51 | yes | 264 | 201.104 | odd | 6 | inner | |
804.2.l.a.707.82 | yes | 264 | 67.37 | even | 3 | inner | |
804.2.l.a.707.126 | yes | 264 | 268.171 | odd | 6 | inner |