Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(157,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([4, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.157");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.cg (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 157.5 | ||
Character | \(\chi\) | \(=\) | 315.157 |
Dual form | 315.2.cg.e.313.5 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.27594 | + | 0.609836i | −1.60933 | + | 0.431219i | −0.947843 | − | 0.318737i | \(-0.896741\pi\) |
−0.661488 | + | 0.749956i | \(0.730075\pi\) | |||||||
\(3\) | −1.68624 | − | 0.395739i | −0.973549 | − | 0.228480i | ||||
\(4\) | 3.07594 | − | 1.77589i | 1.53797 | − | 0.887947i | ||||
\(5\) | 0.427382 | + | 2.19484i | 0.191131 | + | 0.981564i | ||||
\(6\) | 4.07910 | − | 0.127650i | 1.66529 | − | 0.0521131i | ||||
\(7\) | −2.23213 | − | 1.42042i | −0.843666 | − | 0.536869i | ||||
\(8\) | −2.58544 | + | 2.58544i | −0.914091 | + | 0.914091i | ||||
\(9\) | 2.68678 | + | 1.33462i | 0.895594 | + | 0.444872i | ||||
\(10\) | −2.31119 | − | 4.73470i | −0.730862 | − | 1.49724i | ||||
\(11\) | 0.613954 | 0.185114 | 0.0925571 | − | 0.995707i | \(-0.470496\pi\) | ||||
0.0925571 | + | 0.995707i | \(0.470496\pi\) | |||||||
\(12\) | −5.88955 | + | 1.77731i | −1.70017 | + | 0.513065i | ||||
\(13\) | 3.97828 | − | 1.06598i | 1.10338 | − | 0.295649i | 0.339238 | − | 0.940701i | \(-0.389831\pi\) |
0.764139 | + | 0.645052i | \(0.223164\pi\) | |||||||
\(14\) | 5.94641 | + | 1.87156i | 1.58924 | + | 0.500195i | ||||
\(15\) | 0.147917 | − | 3.87016i | 0.0381920 | − | 0.999270i | ||||
\(16\) | 0.755816 | − | 1.30911i | 0.188954 | − | 0.327278i | ||||
\(17\) | 0.698022 | + | 2.60505i | 0.169295 | + | 0.631818i | 0.997453 | + | 0.0713237i | \(0.0227223\pi\) |
−0.828158 | + | 0.560495i | \(0.810611\pi\) | |||||||
\(18\) | −6.92884 | − | 1.39901i | −1.63314 | − | 0.329750i | ||||
\(19\) | −1.09593 | − | 1.89820i | −0.251423 | − | 0.435478i | 0.712495 | − | 0.701677i | \(-0.247565\pi\) |
−0.963918 | + | 0.266200i | \(0.914232\pi\) | |||||||
\(20\) | 5.21242 | + | 5.99223i | 1.16553 | + | 1.33990i | ||||
\(21\) | 3.20178 | + | 3.27851i | 0.698686 | + | 0.715429i | ||||
\(22\) | −1.39732 | + | 0.374411i | −0.297910 | + | 0.0798247i | ||||
\(23\) | −2.87028 | + | 2.87028i | −0.598494 | + | 0.598494i | −0.939912 | − | 0.341417i | \(-0.889093\pi\) |
0.341417 | + | 0.939912i | \(0.389093\pi\) | |||||||
\(24\) | 5.38282 | − | 3.33650i | 1.09876 | − | 0.681061i | ||||
\(25\) | −4.63469 | + | 1.87608i | −0.926938 | + | 0.375215i | ||||
\(26\) | −8.40425 | + | 4.85219i | −1.64821 | + | 0.951594i | ||||
\(27\) | −4.00239 | − | 3.31374i | −0.770260 | − | 0.637730i | ||||
\(28\) | −9.38842 | − | 0.405106i | −1.77424 | − | 0.0765578i | ||||
\(29\) | −8.76375 | + | 5.05975i | −1.62739 | + | 0.939572i | −0.642518 | + | 0.766271i | \(0.722110\pi\) |
−0.984869 | + | 0.173302i | \(0.944556\pi\) | |||||||
\(30\) | 2.02351 | + | 8.89844i | 0.369441 | + | 1.62463i | ||||
\(31\) | −1.01248 | + | 0.584558i | −0.181848 | + | 0.104990i | −0.588160 | − | 0.808744i | \(-0.700148\pi\) |
0.406313 | + | 0.913734i | \(0.366814\pi\) | |||||||
\(32\) | 0.970827 | − | 3.62317i | 0.171620 | − | 0.640493i | ||||
\(33\) | −1.03527 | − | 0.242965i | −0.180218 | − | 0.0422949i | ||||
\(34\) | −3.17731 | − | 5.50326i | −0.544904 | − | 0.943802i | ||||
\(35\) | 2.16363 | − | 5.50624i | 0.365721 | − | 0.930725i | ||||
\(36\) | 10.6345 | − | 0.666241i | 1.77242 | − | 0.111040i | ||||
\(37\) | −3.08601 | + | 11.5172i | −0.507337 | + | 1.89341i | −0.0619289 | + | 0.998081i | \(0.519725\pi\) |
−0.445408 | + | 0.895328i | \(0.646941\pi\) | |||||||
\(38\) | 3.65185 | + | 3.65185i | 0.592409 | + | 0.592409i | ||||
\(39\) | −7.13017 | + | 0.223130i | −1.14174 | + | 0.0357294i | ||||
\(40\) | −6.77961 | − | 4.56967i | −1.07195 | − | 0.722528i | ||||
\(41\) | −3.06339 | − | 1.76865i | −0.478421 | − | 0.276216i | 0.241337 | − | 0.970441i | \(-0.422414\pi\) |
−0.719758 | + | 0.694225i | \(0.755747\pi\) | |||||||
\(42\) | −9.28640 | − | 5.50911i | −1.43292 | − | 0.850075i | ||||
\(43\) | −1.99082 | − | 0.533438i | −0.303597 | − | 0.0813486i | 0.103804 | − | 0.994598i | \(-0.466898\pi\) |
−0.407402 | + | 0.913249i | \(0.633565\pi\) | |||||||
\(44\) | 1.88849 | − | 1.09032i | 0.284700 | − | 0.164372i | ||||
\(45\) | −1.78099 | + | 6.46746i | −0.265495 | + | 0.964112i | ||||
\(46\) | 4.78218 | − | 8.28297i | 0.705093 | − | 1.22126i | ||||
\(47\) | 1.68461 | + | 6.28706i | 0.245726 | + | 0.917061i | 0.973017 | + | 0.230733i | \(0.0741122\pi\) |
−0.727291 | + | 0.686329i | \(0.759221\pi\) | |||||||
\(48\) | −1.79255 | + | 1.90836i | −0.258732 | + | 0.275449i | ||||
\(49\) | 2.96480 | + | 6.34113i | 0.423543 | + | 0.905876i | ||||
\(50\) | 9.40416 | − | 7.09623i | 1.32995 | − | 1.00356i | ||||
\(51\) | −0.146110 | − | 4.66897i | −0.0204594 | − | 0.653787i | ||||
\(52\) | 10.3439 | − | 10.3439i | 1.43444 | − | 1.43444i | ||||
\(53\) | −2.19263 | − | 8.18302i | −0.301181 | − | 1.12402i | −0.936183 | − | 0.351514i | \(-0.885667\pi\) |
0.635001 | − | 0.772511i | \(-0.281000\pi\) | |||||||
\(54\) | 11.1300 | + | 5.10107i | 1.51460 | + | 0.694168i | ||||
\(55\) | 0.262393 | + | 1.34753i | 0.0353811 | + | 0.181702i | ||||
\(56\) | 9.44345 | − | 2.09862i | 1.26193 | − | 0.280440i | ||||
\(57\) | 1.09680 | + | 3.63452i | 0.145275 | + | 0.481404i | ||||
\(58\) | 16.8601 | − | 16.8601i | 2.21384 | − | 2.21384i | ||||
\(59\) | −0.759503 | − | 1.31550i | −0.0988789 | − | 0.171263i | 0.812342 | − | 0.583181i | \(-0.198192\pi\) |
−0.911221 | + | 0.411918i | \(0.864859\pi\) | |||||||
\(60\) | −6.41801 | − | 12.1671i | −0.828561 | − | 1.57076i | ||||
\(61\) | −1.60852 | − | 0.928680i | −0.205950 | − | 0.118905i | 0.393478 | − | 0.919334i | \(-0.371272\pi\) |
−0.599428 | + | 0.800429i | \(0.704605\pi\) | |||||||
\(62\) | 1.94787 | − | 1.94787i | 0.247379 | − | 0.247379i | ||||
\(63\) | −4.10153 | − | 6.79540i | −0.516744 | − | 0.856140i | ||||
\(64\) | 11.8614i | 1.48268i | ||||||||
\(65\) | 4.03990 | + | 8.27613i | 0.501088 | + | 1.02653i | ||||
\(66\) | 2.50438 | − | 0.0783716i | 0.308268 | − | 0.00964687i | ||||
\(67\) | −2.54193 | + | 9.48661i | −0.310546 | + | 1.15897i | 0.617519 | + | 0.786556i | \(0.288138\pi\) |
−0.928065 | + | 0.372418i | \(0.878529\pi\) | |||||||
\(68\) | 6.77338 | + | 6.77338i | 0.821393 | + | 0.821393i | ||||
\(69\) | 5.97585 | − | 3.70409i | 0.719407 | − | 0.445920i | ||||
\(70\) | −1.56639 | + | 13.8513i | −0.187220 | + | 1.65555i | ||||
\(71\) | −7.87089 | −0.934103 | −0.467051 | − | 0.884230i | \(-0.654684\pi\) | ||||
−0.467051 | + | 0.884230i | \(0.654684\pi\) | |||||||
\(72\) | −10.3971 | + | 3.49594i | −1.22531 | + | 0.412001i | ||||
\(73\) | 13.3214 | − | 3.56946i | 1.55915 | − | 0.417774i | 0.626758 | − | 0.779214i | \(-0.284381\pi\) |
0.932395 | + | 0.361440i | \(0.117715\pi\) | |||||||
\(74\) | − | 28.0943i | − | 3.26589i | ||||||
\(75\) | 8.55761 | − | 1.32938i | 0.988148 | − | 0.153504i | ||||
\(76\) | −6.74202 | − | 3.89251i | −0.773362 | − | 0.446501i | ||||
\(77\) | −1.37043 | − | 0.872074i | −0.156175 | − | 0.0993821i | ||||
\(78\) | 16.0917 | − | 4.85606i | 1.82203 | − | 0.549840i | ||||
\(79\) | 7.65458 | + | 4.41937i | 0.861208 | + | 0.497218i | 0.864417 | − | 0.502776i | \(-0.167688\pi\) |
−0.00320886 | + | 0.999995i | \(0.501021\pi\) | |||||||
\(80\) | 3.19632 | + | 1.09941i | 0.357359 | + | 0.122917i | ||||
\(81\) | 5.43760 | + | 7.17165i | 0.604177 | + | 0.796850i | ||||
\(82\) | 8.05066 | + | 2.15717i | 0.889047 | + | 0.238219i | ||||
\(83\) | −3.33617 | + | 12.4507i | −0.366192 | + | 1.36665i | 0.499606 | + | 0.866253i | \(0.333478\pi\) |
−0.865798 | + | 0.500394i | \(0.833189\pi\) | |||||||
\(84\) | 15.6708 | + | 4.39846i | 1.70982 | + | 0.479912i | ||||
\(85\) | −5.41937 | + | 2.64540i | −0.587813 | + | 0.286934i | ||||
\(86\) | 4.85629 | 0.523667 | ||||||||
\(87\) | 16.7801 | − | 5.06378i | 1.79901 | − | 0.542894i | ||||
\(88\) | −1.58734 | + | 1.58734i | −0.169211 | + | 0.169211i | ||||
\(89\) | −5.67055 | − | 9.82168i | −0.601077 | − | 1.04110i | −0.992658 | − | 0.120952i | \(-0.961405\pi\) |
0.391581 | − | 0.920143i | \(-0.371928\pi\) | |||||||
\(90\) | 0.109342 | − | 15.8057i | 0.0115256 | − | 1.66606i | ||||
\(91\) | −10.3942 | − | 3.27144i | −1.08961 | − | 0.342940i | ||||
\(92\) | −3.73149 | + | 13.9261i | −0.389035 | + | 1.45190i | ||||
\(93\) | 1.93862 | − | 0.585024i | 0.201025 | − | 0.0606641i | ||||
\(94\) | −7.66814 | − | 13.2816i | −0.790908 | − | 1.36989i | ||||
\(95\) | 3.69788 | − | 3.21665i | 0.379395 | − | 0.330021i | ||||
\(96\) | −3.07087 | + | 5.72533i | −0.313420 | + | 0.584339i | ||||
\(97\) | −5.26032 | − | 1.40950i | −0.534105 | − | 0.143113i | −0.0183218 | − | 0.999832i | \(-0.505832\pi\) |
−0.515783 | + | 0.856719i | \(0.672499\pi\) | |||||||
\(98\) | −10.6148 | − | 12.6240i | −1.07225 | − | 1.27521i | ||||
\(99\) | 1.64956 | + | 0.819394i | 0.165787 | + | 0.0823522i | ||||
\(100\) | −10.9243 | + | 14.0014i | −1.09243 | + | 1.40014i | ||||
\(101\) | − | 2.08985i | − | 0.207948i | −0.994580 | − | 0.103974i | \(-0.966844\pi\) | ||
0.994580 | − | 0.103974i | \(-0.0331559\pi\) | |||||||
\(102\) | 3.17984 | + | 10.5372i | 0.314851 | + | 1.04334i | ||||
\(103\) | −4.28421 | − | 4.28421i | −0.422136 | − | 0.422136i | 0.463803 | − | 0.885939i | \(-0.346485\pi\) |
−0.885939 | + | 0.463803i | \(0.846485\pi\) | |||||||
\(104\) | −7.52959 | + | 13.0416i | −0.738337 | + | 1.27884i | ||||
\(105\) | −5.82743 | + | 8.42859i | −0.568699 | + | 0.822546i | ||||
\(106\) | 9.98060 | + | 17.2869i | 0.969401 | + | 1.67905i | ||||
\(107\) | −1.17520 | + | 4.38592i | −0.113611 | + | 0.424003i | −0.999179 | − | 0.0405069i | \(-0.987103\pi\) |
0.885568 | + | 0.464510i | \(0.153769\pi\) | |||||||
\(108\) | −18.1960 | − | 3.08505i | −1.75091 | − | 0.296859i | ||||
\(109\) | 11.6206 | + | 6.70916i | 1.11305 | + | 0.642621i | 0.939618 | − | 0.342224i | \(-0.111180\pi\) |
0.173434 | + | 0.984845i | \(0.444514\pi\) | |||||||
\(110\) | −1.41897 | − | 2.90689i | −0.135293 | − | 0.277161i | ||||
\(111\) | 9.76152 | − | 18.1994i | 0.926523 | − | 1.72741i | ||||
\(112\) | −3.54657 | + | 1.84853i | −0.335119 | + | 0.174669i | ||||
\(113\) | −1.12504 | − | 4.19872i | −0.105835 | − | 0.394982i | 0.892603 | − | 0.450843i | \(-0.148876\pi\) |
−0.998439 | + | 0.0558606i | \(0.982210\pi\) | |||||||
\(114\) | −4.71271 | − | 7.60307i | −0.441386 | − | 0.712092i | ||||
\(115\) | −7.52652 | − | 5.07311i | −0.701852 | − | 0.473070i | ||||
\(116\) | −17.9712 | + | 31.1270i | −1.66858 | + | 2.89007i | ||||
\(117\) | 12.1114 | + | 2.44543i | 1.11970 | + | 0.226080i | ||||
\(118\) | 2.53082 | + | 2.53082i | 0.232981 | + | 0.232981i | ||||
\(119\) | 2.14220 | − | 6.80630i | 0.196375 | − | 0.623933i | ||||
\(120\) | 9.62363 | + | 10.3885i | 0.878513 | + | 0.948335i | ||||
\(121\) | −10.6231 | −0.965733 | ||||||||
\(122\) | 4.22724 | + | 1.13268i | 0.382716 | + | 0.102548i | ||||
\(123\) | 4.46567 | + | 4.19466i | 0.402656 | + | 0.378219i | ||||
\(124\) | −2.07623 | + | 3.59613i | −0.186451 | + | 0.322942i | ||||
\(125\) | −6.09848 | − | 9.37062i | −0.545465 | − | 0.838134i | ||||
\(126\) | 13.4789 | + | 12.9647i | 1.20080 | + | 1.15498i | ||||
\(127\) | −4.88740 | − | 4.88740i | −0.433687 | − | 0.433687i | 0.456194 | − | 0.889880i | \(-0.349212\pi\) |
−0.889880 | + | 0.456194i | \(0.849212\pi\) | |||||||
\(128\) | −5.29187 | − | 19.7495i | −0.467739 | − | 1.74563i | ||||
\(129\) | 3.14589 | + | 1.68735i | 0.276980 | + | 0.148563i | ||||
\(130\) | −14.2416 | − | 16.3723i | −1.24907 | − | 1.43594i | ||||
\(131\) | 2.07414i | 0.181219i | 0.995887 | + | 0.0906094i | \(0.0288815\pi\) | ||||
−0.995887 | + | 0.0906094i | \(0.971119\pi\) | |||||||
\(132\) | −3.61592 | + | 1.09119i | −0.314725 | + | 0.0949756i | ||||
\(133\) | −0.249996 | + | 5.79371i | −0.0216774 | + | 0.502379i | ||||
\(134\) | − | 23.1411i | − | 1.99908i | ||||||
\(135\) | 5.56260 | − | 10.2009i | 0.478752 | − | 0.877950i | ||||
\(136\) | −8.53990 | − | 4.93052i | −0.732291 | − | 0.422788i | ||||
\(137\) | 5.07345 | + | 5.07345i | 0.433454 | + | 0.433454i | 0.889802 | − | 0.456347i | \(-0.150843\pi\) |
−0.456347 | + | 0.889802i | \(0.650843\pi\) | |||||||
\(138\) | −11.3418 | + | 12.0746i | −0.965475 | + | 1.02785i | ||||
\(139\) | 1.22129 | − | 2.11534i | 0.103589 | − | 0.179421i | −0.809572 | − | 0.587021i | \(-0.800301\pi\) |
0.913161 | + | 0.407600i | \(0.133634\pi\) | |||||||
\(140\) | −3.12330 | − | 20.7793i | −0.263967 | − | 1.75617i | ||||
\(141\) | −0.352622 | − | 11.2681i | −0.0296961 | − | 0.948947i | ||||
\(142\) | 17.9136 | − | 4.79995i | 1.50328 | − | 0.402803i | ||||
\(143\) | 2.44248 | − | 0.654461i | 0.204251 | − | 0.0547288i | ||||
\(144\) | 3.77787 | − | 2.50857i | 0.314823 | − | 0.209048i | ||||
\(145\) | −14.8508 | − | 17.0726i | −1.23330 | − | 1.41780i | ||||
\(146\) | −28.1419 | + | 16.2477i | −2.32904 | + | 1.34467i | ||||
\(147\) | −2.48993 | − | 11.8659i | −0.205366 | − | 0.978685i | ||||
\(148\) | 10.9609 | + | 40.9065i | 0.900978 | + | 3.36249i | ||||
\(149\) | 16.8131i | 1.37738i | 0.725055 | + | 0.688691i | \(0.241814\pi\) | ||||
−0.725055 | + | 0.688691i | \(0.758186\pi\) | |||||||
\(150\) | −18.6659 | + | 8.24433i | −1.52406 | + | 0.673147i | ||||
\(151\) | −4.33764 | −0.352992 | −0.176496 | − | 0.984301i | \(-0.556476\pi\) | ||||
−0.176496 | + | 0.984301i | \(0.556476\pi\) | |||||||
\(152\) | 7.74114 | + | 2.07423i | 0.627890 | + | 0.168243i | ||||
\(153\) | −1.60132 | + | 7.93081i | −0.129459 | + | 0.641168i | ||||
\(154\) | 3.65083 | + | 1.14905i | 0.294192 | + | 0.0925933i | ||||
\(155\) | −1.71573 | − | 1.97242i | −0.137811 | − | 0.158428i | ||||
\(156\) | −21.5357 | + | 13.3488i | −1.72424 | + | 1.06876i | ||||
\(157\) | −4.53189 | − | 1.21432i | −0.361684 | − | 0.0969129i | 0.0734006 | − | 0.997303i | \(-0.476615\pi\) |
−0.435084 | + | 0.900390i | \(0.643282\pi\) | |||||||
\(158\) | −20.1164 | − | 5.39018i | −1.60038 | − | 0.428820i | ||||
\(159\) | 0.458961 | + | 14.6662i | 0.0363980 | + | 1.16311i | ||||
\(160\) | 8.36722 | + | 0.582333i | 0.661487 | + | 0.0460375i | ||||
\(161\) | 10.4838 | − | 2.32983i | 0.826242 | − | 0.183616i | ||||
\(162\) | −16.7492 | − | 13.0062i | −1.31594 | − | 1.02186i | ||||
\(163\) | −2.49072 | − | 0.667387i | −0.195088 | − | 0.0522738i | 0.159952 | − | 0.987125i | \(-0.448866\pi\) |
−0.355040 | + | 0.934851i | \(0.615533\pi\) | |||||||
\(164\) | −12.5637 | −0.981062 | ||||||||
\(165\) | 0.0908144 | − | 2.37610i | 0.00706989 | − | 0.184979i | ||||
\(166\) | − | 30.3716i | − | 2.35729i | ||||||
\(167\) | 1.29170 | + | 4.82069i | 0.0999546 | + | 0.373036i | 0.997724 | − | 0.0674300i | \(-0.0214799\pi\) |
−0.897769 | + | 0.440466i | \(0.854813\pi\) | |||||||
\(168\) | −16.7544 | − | 0.198368i | −1.29263 | − | 0.0153044i | ||||
\(169\) | 3.43208 | − | 1.98151i | 0.264006 | − | 0.152424i | ||||
\(170\) | 10.7209 | − | 9.32570i | 0.822254 | − | 0.715248i | ||||
\(171\) | −0.411146 | − | 6.56270i | −0.0314411 | − | 0.501862i | ||||
\(172\) | −7.07097 | + | 1.89466i | −0.539156 | + | 0.144467i | ||||
\(173\) | 6.43483 | − | 1.72421i | 0.489231 | − | 0.131089i | −0.00576647 | − | 0.999983i | \(-0.501836\pi\) |
0.494998 | + | 0.868894i | \(0.335169\pi\) | |||||||
\(174\) | −35.1023 | + | 21.7579i | −2.66110 | + | 1.64947i | ||||
\(175\) | 13.0100 | + | 2.39557i | 0.983467 | + | 0.181088i | ||||
\(176\) | 0.464036 | − | 0.803735i | 0.0349781 | − | 0.0605838i | ||||
\(177\) | 0.760108 | + | 2.51881i | 0.0571332 | + | 0.189325i | ||||
\(178\) | 18.8954 | + | 18.8954i | 1.41627 | + | 1.41627i | ||||
\(179\) | 21.4186 | + | 12.3660i | 1.60090 | + | 0.924280i | 0.991308 | + | 0.131565i | \(0.0420002\pi\) |
0.609592 | + | 0.792715i | \(0.291333\pi\) | |||||||
\(180\) | 6.00730 | + | 23.0564i | 0.447758 | + | 1.71852i | ||||
\(181\) | 21.7835i | 1.61916i | 0.587012 | + | 0.809578i | \(0.300304\pi\) | ||||
−0.587012 | + | 0.809578i | \(0.699696\pi\) | |||||||
\(182\) | 25.6515 | + | 1.10685i | 1.90142 | + | 0.0820453i | ||||
\(183\) | 2.34483 | + | 2.20253i | 0.173335 | + | 0.162816i | ||||
\(184\) | − | 14.8419i | − | 1.09416i | ||||||
\(185\) | −26.5973 | − | 1.85109i | −1.95547 | − | 0.136095i | ||||
\(186\) | −4.05541 | + | 2.51372i | −0.297357 | + | 0.184315i | ||||
\(187\) | 0.428554 | + | 1.59938i | 0.0313390 | + | 0.116959i | ||||
\(188\) | 16.3469 | + | 16.3469i | 1.19222 | + | 1.19222i | ||||
\(189\) | 4.22694 | + | 13.0818i | 0.307464 | + | 0.951560i | ||||
\(190\) | −6.45452 | + | 9.57599i | −0.468260 | + | 0.694716i | ||||
\(191\) | 6.13048 | − | 10.6183i | 0.443586 | − | 0.768313i | −0.554367 | − | 0.832273i | \(-0.687039\pi\) |
0.997953 | + | 0.0639592i | \(0.0203727\pi\) | |||||||
\(192\) | 4.69402 | − | 20.0012i | 0.338762 | − | 1.44346i | ||||
\(193\) | 5.19335 | + | 1.39155i | 0.373825 | + | 0.100166i | 0.440840 | − | 0.897586i | \(-0.354681\pi\) |
−0.0670144 | + | 0.997752i | \(0.521347\pi\) | |||||||
\(194\) | 12.8317 | 0.921265 | ||||||||
\(195\) | −3.53704 | − | 15.5543i | −0.253293 | − | 1.11386i | ||||
\(196\) | 20.3807 | + | 14.2398i | 1.45577 | + | 1.01713i | ||||
\(197\) | 7.28930 | + | 7.28930i | 0.519341 | + | 0.519341i | 0.917372 | − | 0.398031i | \(-0.130306\pi\) |
−0.398031 | + | 0.917372i | \(0.630306\pi\) | |||||||
\(198\) | −4.25399 | − | 0.858928i | −0.302318 | − | 0.0610414i | ||||
\(199\) | −7.88774 | + | 13.6620i | −0.559147 | + | 0.968471i | 0.438421 | + | 0.898770i | \(0.355538\pi\) |
−0.997568 | + | 0.0697012i | \(0.977795\pi\) | |||||||
\(200\) | 7.13222 | − | 16.8332i | 0.504324 | − | 1.19029i | ||||
\(201\) | 8.04051 | − | 14.9907i | 0.567134 | − | 1.05736i | ||||
\(202\) | 1.27447 | + | 4.75638i | 0.0896712 | + | 0.334658i | ||||
\(203\) | 26.7488 | + | 1.15420i | 1.87740 | + | 0.0810088i | ||||
\(204\) | −8.74102 | − | 14.1020i | −0.611994 | − | 0.987337i | ||||
\(205\) | 2.57267 | − | 7.47955i | 0.179683 | − | 0.522394i | ||||
\(206\) | 12.3633 | + | 7.13793i | 0.861390 | + | 0.497323i | ||||
\(207\) | −11.5425 | + | 3.88109i | −0.802262 | + | 0.269754i | ||||
\(208\) | 1.61136 | − | 6.01369i | 0.111728 | − | 0.416975i | ||||
\(209\) | −0.672850 | − | 1.16541i | −0.0465420 | − | 0.0806131i | ||||
\(210\) | 8.12281 | − | 22.7367i | 0.560527 | − | 1.56898i | ||||
\(211\) | −2.59006 | + | 4.48612i | −0.178307 | + | 0.308837i | −0.941301 | − | 0.337569i | \(-0.890395\pi\) |
0.762994 | + | 0.646406i | \(0.223729\pi\) | |||||||
\(212\) | −21.2766 | − | 21.2766i | −1.46128 | − | 1.46128i | ||||
\(213\) | 13.2722 | + | 3.11481i | 0.909394 | + | 0.213424i | ||||
\(214\) | − | 10.6988i | − | 0.731352i | ||||||
\(215\) | 0.319973 | − | 4.59752i | 0.0218220 | − | 0.313548i | ||||
\(216\) | 18.9154 | − | 1.78045i | 1.28703 | − | 0.121145i | ||||
\(217\) | 3.09032 | + | 0.133346i | 0.209784 | + | 0.00905209i | ||||
\(218\) | −30.5393 | − | 8.18297i | −2.06838 | − | 0.554221i | ||||
\(219\) | −23.8756 | + | 0.747158i | −1.61336 | + | 0.0504882i | ||||
\(220\) | 3.20019 | + | 3.67895i | 0.215757 | + | 0.248035i | ||||
\(221\) | 5.55386 | + | 9.61956i | 0.373593 | + | 0.647082i | ||||
\(222\) | −11.1180 | + | 47.3736i | −0.746190 | + | 3.17951i | ||||
\(223\) | 5.09619 | − | 19.0192i | 0.341266 | − | 1.27362i | −0.555648 | − | 0.831418i | \(-0.687530\pi\) |
0.896914 | − | 0.442205i | \(-0.145804\pi\) | |||||||
\(224\) | −7.31345 | + | 6.70841i | −0.488650 | + | 0.448225i | ||||
\(225\) | −14.9562 | − | 1.14493i | −0.997083 | − | 0.0763283i | ||||
\(226\) | 5.12105 | + | 8.86992i | 0.340647 | + | 0.590018i | ||||
\(227\) | 18.3745 | − | 18.3745i | 1.21956 | − | 1.21956i | 0.251772 | − | 0.967787i | \(-0.418987\pi\) |
0.967787 | − | 0.251772i | \(-0.0810132\pi\) | |||||||
\(228\) | 9.82822 | + | 9.23176i | 0.650889 | + | 0.611388i | ||||
\(229\) | −3.92046 | −0.259071 | −0.129536 | − | 0.991575i | \(-0.541349\pi\) | ||||
−0.129536 | + | 0.991575i | \(0.541349\pi\) | |||||||
\(230\) | 20.2237 | + | 6.95614i | 1.33351 | + | 0.458674i | ||||
\(231\) | 1.96575 | + | 2.01285i | 0.129337 | + | 0.132436i | ||||
\(232\) | 9.57646 | − | 35.7398i | 0.628725 | − | 2.34643i | ||||
\(233\) | −17.3014 | − | 4.63590i | −1.13345 | − | 0.303708i | −0.357138 | − | 0.934052i | \(-0.616247\pi\) |
−0.776316 | + | 0.630343i | \(0.782914\pi\) | |||||||
\(234\) | −29.0562 | + | 1.82034i | −1.89946 | + | 0.118999i | ||||
\(235\) | −13.0791 | + | 6.38444i | −0.853189 | + | 0.416475i | ||||
\(236\) | −4.67237 | − | 2.69760i | −0.304146 | − | 0.175599i | ||||
\(237\) | −11.1585 | − | 10.4813i | −0.724823 | − | 0.680835i | ||||
\(238\) | −0.724787 | + | 16.7971i | −0.0469810 | + | 1.08879i | ||||
\(239\) | −18.9897 | − | 10.9637i | −1.22834 | − | 0.709183i | −0.261658 | − | 0.965161i | \(-0.584269\pi\) |
−0.966683 | + | 0.255978i | \(0.917603\pi\) | |||||||
\(240\) | −4.95467 | − | 3.11877i | −0.319822 | − | 0.201315i | ||||
\(241\) | 2.00945i | 0.129440i | 0.997903 | + | 0.0647201i | \(0.0206154\pi\) | ||||
−0.997903 | + | 0.0647201i | \(0.979385\pi\) | |||||||
\(242\) | 24.1774 | − | 6.47832i | 1.55418 | − | 0.416442i | ||||
\(243\) | −6.33097 | − | 14.2450i | −0.406132 | − | 0.913814i | ||||
\(244\) | −6.59695 | −0.422327 | ||||||||
\(245\) | −12.6507 | + | 9.21737i | −0.808223 | + | 0.588876i | ||||
\(246\) | −12.7216 | − | 6.82345i | −0.811102 | − | 0.435047i | ||||
\(247\) | −6.38335 | − | 6.38335i | −0.406163 | − | 0.406163i | ||||
\(248\) | 1.10638 | − | 4.12906i | 0.0702550 | − | 0.262195i | ||||
\(249\) | 10.5528 | − | 19.6746i | 0.668756 | − | 1.24683i | ||||
\(250\) | 19.5943 | + | 17.6079i | 1.23925 | + | 1.11362i | ||||
\(251\) | 0.605262i | 0.0382038i | 0.999818 | + | 0.0191019i | \(0.00608069\pi\) | ||||
−0.999818 | + | 0.0191019i | \(0.993919\pi\) | |||||||
\(252\) | −24.6840 | − | 13.6184i | −1.55494 | − | 0.857877i | ||||
\(253\) | −1.76222 | + | 1.76222i | −0.110790 | + | 0.110790i | ||||
\(254\) | 14.1039 | + | 8.14291i | 0.884959 | + | 0.510931i | ||||
\(255\) | 10.1852 | − | 2.31612i | 0.637823 | − | 0.145041i | ||||
\(256\) | 12.2265 | + | 21.1769i | 0.764155 | + | 1.32356i | ||||
\(257\) | 12.1138 | − | 12.1138i | 0.755639 | − | 0.755639i | −0.219886 | − | 0.975526i | \(-0.570569\pi\) |
0.975526 | + | 0.219886i | \(0.0705686\pi\) | |||||||
\(258\) | −8.18885 | − | 1.92182i | −0.509815 | − | 0.119647i | ||||
\(259\) | 23.2476 | − | 21.3243i | 1.44454 | − | 1.32503i | ||||
\(260\) | 27.1240 | + | 18.2824i | 1.68216 | + | 1.13383i | ||||
\(261\) | −30.2991 | + | 1.89820i | −1.87547 | + | 0.117496i | ||||
\(262\) | −1.26489 | − | 4.72062i | −0.0781450 | − | 0.291641i | ||||
\(263\) | −9.95245 | + | 9.95245i | −0.613695 | + | 0.613695i | −0.943907 | − | 0.330212i | \(-0.892880\pi\) |
0.330212 | + | 0.943907i | \(0.392880\pi\) | |||||||
\(264\) | 3.30481 | − | 2.04846i | 0.203397 | − | 0.126074i | ||||
\(265\) | 17.0234 | − | 8.30977i | 1.04574 | − | 0.510465i | ||||
\(266\) | −2.96424 | − | 13.3386i | −0.181749 | − | 0.817841i | ||||
\(267\) | 5.67506 | + | 18.8057i | 0.347308 | + | 1.15089i | ||||
\(268\) | 9.02840 | + | 33.6944i | 0.551497 | + | 2.05822i | ||||
\(269\) | 3.04345 | − | 5.27142i | 0.185563 | − | 0.321404i | −0.758203 | − | 0.652018i | \(-0.773923\pi\) |
0.943766 | + | 0.330614i | \(0.107256\pi\) | |||||||
\(270\) | −6.43928 | + | 26.6088i | −0.391882 | + | 1.61936i | ||||
\(271\) | 16.1486 | − | 9.32340i | 0.980958 | − | 0.566357i | 0.0783990 | − | 0.996922i | \(-0.475019\pi\) |
0.902559 | + | 0.430566i | \(0.141686\pi\) | |||||||
\(272\) | 3.93788 | + | 1.05515i | 0.238769 | + | 0.0639780i | ||||
\(273\) | 16.2324 | + | 9.62979i | 0.982429 | + | 0.582822i | ||||
\(274\) | −14.6408 | − | 8.45289i | −0.884485 | − | 0.510657i | ||||
\(275\) | −2.84549 | + | 1.15183i | −0.171589 | + | 0.0694577i | ||||
\(276\) | 11.8033 | − | 22.0060i | 0.710474 | − | 1.32461i | ||||
\(277\) | −21.8698 | − | 21.8698i | −1.31403 | − | 1.31403i | −0.918420 | − | 0.395606i | \(-0.870535\pi\) |
−0.395606 | − | 0.918420i | \(-0.629465\pi\) | |||||||
\(278\) | −1.48958 | + | 5.55917i | −0.0893388 | + | 0.333417i | ||||
\(279\) | −3.50049 | + | 0.219301i | −0.209569 | + | 0.0131292i | ||||
\(280\) | 8.64211 | + | 19.8300i | 0.516465 | + | 1.18507i | ||||
\(281\) | −1.83204 | − | 3.17318i | −0.109290 | − | 0.189296i | 0.806193 | − | 0.591653i | \(-0.201524\pi\) |
−0.915483 | + | 0.402357i | \(0.868191\pi\) | |||||||
\(282\) | 7.67425 | + | 25.4305i | 0.456995 | + | 1.51436i | ||||
\(283\) | −4.57795 | + | 17.0851i | −0.272131 | + | 1.01561i | 0.685609 | + | 0.727970i | \(0.259536\pi\) |
−0.957740 | + | 0.287636i | \(0.907131\pi\) | |||||||
\(284\) | −24.2104 | + | 13.9779i | −1.43662 | + | 0.829434i | ||||
\(285\) | −7.50845 | + | 3.96064i | −0.444762 | + | 0.234608i | ||||
\(286\) | −5.15982 | + | 2.97903i | −0.305107 | + | 0.176154i | ||||
\(287\) | 4.32565 | + | 8.29915i | 0.255335 | + | 0.489883i | ||||
\(288\) | 7.44395 | − | 8.43900i | 0.438639 | − | 0.497273i | ||||
\(289\) | 8.42336 | − | 4.86323i | 0.495492 | − | 0.286072i | ||||
\(290\) | 44.2111 | + | 29.7996i | 2.59616 | + | 1.74989i | ||||
\(291\) | 8.31235 | + | 4.45846i | 0.487279 | + | 0.261360i | ||||
\(292\) | 34.6369 | − | 34.6369i | 2.02697 | − | 2.02697i | ||||
\(293\) | 19.1108 | − | 5.12072i | 1.11646 | − | 0.299156i | 0.347013 | − | 0.937860i | \(-0.387196\pi\) |
0.769452 | + | 0.638705i | \(0.220529\pi\) | |||||||
\(294\) | 12.9032 | + | 25.4877i | 0.752529 | + | 1.48647i | ||||
\(295\) | 2.56272 | − | 2.22921i | 0.149207 | − | 0.129790i | ||||
\(296\) | −21.7982 | − | 37.7556i | −1.26699 | − | 2.19450i | ||||
\(297\) | −2.45728 | − | 2.03449i | −0.142586 | − | 0.118053i | ||||
\(298\) | −10.2532 | − | 38.2655i | −0.593953 | − | 2.21666i | ||||
\(299\) | −8.35912 | + | 14.4784i | −0.483421 | + | 0.837309i | ||||
\(300\) | 23.9619 | − | 19.2865i | 1.38344 | − | 1.11351i | ||||
\(301\) | 3.68606 | + | 4.01851i | 0.212461 | + | 0.231623i | ||||
\(302\) | 9.87220 | − | 2.64525i | 0.568081 | − | 0.152217i | ||||
\(303\) | −0.827036 | + | 3.52399i | −0.0475120 | + | 0.202448i | ||||
\(304\) | −3.31328 | −0.190029 | ||||||||
\(305\) | 1.35086 | − | 3.92736i | 0.0773497 | − | 0.224880i | ||||
\(306\) | −1.19199 | − | 19.0266i | −0.0681416 | − | 1.08768i | ||||
\(307\) | 21.2884 | − | 21.2884i | 1.21499 | − | 1.21499i | 0.245629 | − | 0.969364i | \(-0.421006\pi\) |
0.969364 | − | 0.245629i | \(-0.0789943\pi\) | |||||||
\(308\) | −5.76406 | − | 0.248716i | −0.328438 | − | 0.0141719i | ||||
\(309\) | 5.52876 | + | 8.91962i | 0.314520 | + | 0.507420i | ||||
\(310\) | 5.10775 | + | 3.44278i | 0.290101 | + | 0.195537i | ||||
\(311\) | 13.3130 | − | 7.68628i | 0.754912 | − | 0.435849i | −0.0725538 | − | 0.997365i | \(-0.523115\pi\) |
0.827466 | + | 0.561516i | \(0.189782\pi\) | |||||||
\(312\) | 17.8577 | − | 19.0115i | 1.01099 | − | 1.07631i | ||||
\(313\) | −13.7215 | + | 3.67667i | −0.775585 | + | 0.207817i | −0.624837 | − | 0.780755i | \(-0.714835\pi\) |
−0.150748 | + | 0.988572i | \(0.548168\pi\) | |||||||
\(314\) | 11.0548 | 0.623860 | ||||||||
\(315\) | 13.1619 | − | 11.9064i | 0.741591 | − | 0.670852i | ||||
\(316\) | 31.3934 | 1.76602 | ||||||||
\(317\) | −17.7267 | + | 4.74986i | −0.995632 | + | 0.266779i | −0.719615 | − | 0.694374i | \(-0.755682\pi\) |
−0.276018 | + | 0.961153i | \(0.589015\pi\) | |||||||
\(318\) | −9.98855 | − | 33.0995i | −0.560130 | − | 1.85613i | ||||
\(319\) | −5.38054 | + | 3.10646i | −0.301252 | + | 0.173928i | ||||
\(320\) | −26.0340 | + | 5.06937i | −1.45534 | + | 0.283386i | ||||
\(321\) | 3.71735 | − | 6.93062i | 0.207482 | − | 0.386829i | ||||
\(322\) | −22.4398 | + | 11.6960i | −1.25052 | + | 0.651790i | ||||
\(323\) | 4.17994 | − | 4.17994i | 0.232578 | − | 0.232578i | ||||
\(324\) | 29.4618 | + | 12.4030i | 1.63677 | + | 0.689054i | ||||
\(325\) | −16.4382 | + | 12.4040i | −0.911829 | + | 0.688052i | ||||
\(326\) | 6.07572 | 0.336503 | ||||||||
\(327\) | −16.9400 | − | 15.9119i | −0.936785 | − | 0.879933i | ||||
\(328\) | 12.4929 | − | 3.34747i | 0.689807 | − | 0.184833i | ||||
\(329\) | 5.17000 | − | 16.4264i | 0.285031 | − | 0.905616i | ||||
\(330\) | 1.24234 | + | 5.46324i | 0.0683887 | + | 0.300741i | ||||
\(331\) | 7.10104 | − | 12.2994i | 0.390309 | − | 0.676034i | −0.602181 | − | 0.798359i | \(-0.705702\pi\) |
0.992490 | + | 0.122325i | \(0.0390350\pi\) | |||||||
\(332\) | 11.8494 | + | 44.2224i | 0.650318 | + | 2.42702i | ||||
\(333\) | −23.6624 | + | 26.8254i | −1.29669 | + | 1.47002i | ||||
\(334\) | −5.87965 | − | 10.1839i | −0.321720 | − | 0.557236i | ||||
\(335\) | −21.9080 | − | 1.52473i | −1.19696 | − | 0.0833049i | ||||
\(336\) | 6.71188 | − | 1.71354i | 0.366163 | − | 0.0934813i | ||||
\(337\) | −0.232921 | + | 0.0624109i | −0.0126880 | + | 0.00339974i | −0.265157 | − | 0.964205i | \(-0.585424\pi\) |
0.252469 | + | 0.967605i | \(0.418757\pi\) | |||||||
\(338\) | −6.60280 | + | 6.60280i | −0.359145 | + | 0.359145i | ||||
\(339\) | 0.235493 | + | 7.52525i | 0.0127902 | + | 0.408715i | ||||
\(340\) | −11.9717 | + | 17.7613i | −0.649256 | + | 0.963244i | ||||
\(341\) | −0.621619 | + | 0.358892i | −0.0336626 | + | 0.0194351i | ||||
\(342\) | 4.93791 | + | 14.6856i | 0.267012 | + | 0.794104i | ||||
\(343\) | 2.38926 | − | 18.3655i | 0.129008 | − | 0.991644i | ||||
\(344\) | 6.52631 | − | 3.76797i | 0.351875 | − | 0.203155i | ||||
\(345\) | 10.6839 | + | 11.5330i | 0.575200 | + | 0.620916i | ||||
\(346\) | −13.5938 | + | 7.84838i | −0.730807 | + | 0.421932i | ||||
\(347\) | −8.17514 | + | 30.5100i | −0.438864 | + | 1.63786i | 0.292782 | + | 0.956179i | \(0.405419\pi\) |
−0.731646 | + | 0.681684i | \(0.761248\pi\) | |||||||
\(348\) | 42.6218 | − | 45.3755i | 2.28477 | − | 2.43238i | ||||
\(349\) | 9.66110 | + | 16.7335i | 0.517147 | + | 0.895725i | 0.999802 | + | 0.0199140i | \(0.00633924\pi\) |
−0.482655 | + | 0.875811i | \(0.660327\pi\) | |||||||
\(350\) | −31.0709 | + | 2.48183i | −1.66081 | + | 0.132659i | ||||
\(351\) | −19.4550 | − | 8.91654i | −1.03843 | − | 0.475930i | ||||
\(352\) | 0.596043 | − | 2.22446i | 0.0317692 | − | 0.118564i | ||||
\(353\) | 14.3956 | + | 14.3956i | 0.766202 | + | 0.766202i | 0.977436 | − | 0.211233i | \(-0.0677480\pi\) |
−0.211233 | + | 0.977436i | \(0.567748\pi\) | |||||||
\(354\) | −3.26602 | − | 5.26910i | −0.173587 | − | 0.280050i | ||||
\(355\) | −3.36388 | − | 17.2754i | −0.178536 | − | 0.916882i | ||||
\(356\) | −34.8845 | − | 20.1406i | −1.84888 | − | 1.06745i | ||||
\(357\) | −6.30577 | + | 10.6293i | −0.333737 | + | 0.562561i | ||||
\(358\) | −56.2886 | − | 15.0825i | −2.97494 | − | 0.797134i | ||||
\(359\) | 2.62258 | − | 1.51415i | 0.138414 | − | 0.0799135i | −0.429194 | − | 0.903212i | \(-0.641202\pi\) |
0.567608 | + | 0.823299i | \(0.307869\pi\) | |||||||
\(360\) | −12.1166 | − | 21.3259i | −0.638600 | − | 1.12397i | ||||
\(361\) | 7.09788 | − | 12.2939i | 0.373573 | − | 0.647047i | ||||
\(362\) | −13.2844 | − | 49.5779i | −0.698211 | − | 2.60576i | ||||
\(363\) | 17.9130 | + | 4.20395i | 0.940188 | + | 0.220650i | ||||
\(364\) | −37.7816 | + | 8.39621i | −1.98029 | + | 0.440081i | ||||
\(365\) | 13.5278 | + | 27.7129i | 0.708075 | + | 1.45056i | ||||
\(366\) | −6.67987 | − | 3.58285i | −0.349162 | − | 0.187279i | ||||
\(367\) | −23.0822 | + | 23.0822i | −1.20488 | + | 1.20488i | −0.232215 | + | 0.972664i | \(0.574597\pi\) |
−0.972664 | + | 0.232215i | \(0.925403\pi\) | |||||||
\(368\) | 1.58811 | + | 5.92691i | 0.0827861 | + | 0.308962i | ||||
\(369\) | −5.87019 | − | 8.84042i | −0.305590 | − | 0.460214i | ||||
\(370\) | 61.6626 | − | 12.0070i | 3.20568 | − | 0.624214i | ||||
\(371\) | −6.72910 | + | 21.3800i | −0.349358 | + | 1.11000i | ||||
\(372\) | 4.92414 | − | 5.24228i | 0.255305 | − | 0.271800i | ||||
\(373\) | 6.91138 | − | 6.91138i | 0.357858 | − | 0.357858i | −0.505165 | − | 0.863023i | \(-0.668568\pi\) |
0.863023 | + | 0.505165i | \(0.168568\pi\) | |||||||
\(374\) | −1.95072 | − | 3.37875i | −0.100870 | − | 0.174711i | ||||
\(375\) | 6.57516 | + | 18.2145i | 0.339540 | + | 0.940592i | ||||
\(376\) | −20.6103 | − | 11.8993i | −1.06289 | − | 0.613662i | ||||
\(377\) | −29.4711 | + | 29.4711i | −1.51784 | + | 1.51784i | ||||
\(378\) | −17.5980 | − | 27.1956i | −0.905142 | − | 1.39879i | ||||
\(379\) | − | 4.92540i | − | 0.253001i | −0.991967 | − | 0.126500i | \(-0.959625\pi\) | ||
0.991967 | − | 0.126500i | \(-0.0403745\pi\) | |||||||
\(380\) | 5.66203 | − | 16.4613i | 0.290456 | − | 0.844445i | ||||
\(381\) | 6.30718 | + | 10.1754i | 0.323127 | + | 0.521304i | ||||
\(382\) | −7.47717 | + | 27.9052i | −0.382565 | + | 1.42775i | ||||
\(383\) | 4.93524 | + | 4.93524i | 0.252179 | + | 0.252179i | 0.821864 | − | 0.569684i | \(-0.192935\pi\) |
−0.569684 | + | 0.821864i | \(0.692935\pi\) | |||||||
\(384\) | 1.10769 | + | 35.3965i | 0.0565266 | + | 1.80632i | ||||
\(385\) | 1.32837 | − | 3.38058i | 0.0677001 | − | 0.172290i | ||||
\(386\) | −12.6684 | −0.644802 | ||||||||
\(387\) | −4.63696 | − | 4.09021i | −0.235710 | − | 0.207917i | ||||
\(388\) | −18.6836 | + | 5.00625i | −0.948514 | + | 0.254154i | ||||
\(389\) | 7.73449i | 0.392154i | 0.980588 | + | 0.196077i | \(0.0628203\pi\) | ||||
−0.980588 | + | 0.196077i | \(0.937180\pi\) | |||||||
\(390\) | 17.5356 | + | 33.2435i | 0.887951 | + | 1.68335i | ||||
\(391\) | −9.48075 | − | 5.47371i | −0.479462 | − | 0.276818i | ||||
\(392\) | −24.0599 | − | 8.72929i | −1.21521 | − | 0.440896i | ||||
\(393\) | 0.820819 | − | 3.49750i | 0.0414048 | − | 0.176425i | ||||
\(394\) | −21.0353 | − | 12.1447i | −1.05974 | − | 0.611842i | ||||
\(395\) | −6.42841 | + | 18.6894i | −0.323448 | + | 0.940365i | ||||
\(396\) | 6.52911 | − | 0.409041i | 0.328100 | − | 0.0205551i | ||||
\(397\) | 27.7309 | + | 7.43047i | 1.39177 | + | 0.372925i | 0.875383 | − | 0.483429i | \(-0.160609\pi\) |
0.516390 | + | 0.856354i | \(0.327276\pi\) | |||||||
\(398\) | 9.62045 | − | 35.9040i | 0.482229 | − | 1.79970i | ||||
\(399\) | 2.71435 | − | 9.67063i | 0.135887 | − | 0.484137i | ||||
\(400\) | −1.04698 | + | 7.48529i | −0.0523489 | + | 0.374264i | ||||
\(401\) | 17.5746 | 0.877636 | 0.438818 | − | 0.898576i | \(-0.355397\pi\) | ||||
0.438818 | + | 0.898576i | \(0.355397\pi\) | |||||||
\(402\) | −9.15782 | + | 39.0213i | −0.456750 | + | 1.94621i | ||||
\(403\) | −3.40482 | + | 3.40482i | −0.169606 | + | 0.169606i | ||||
\(404\) | −3.71136 | − | 6.42827i | −0.184647 | − | 0.319818i | ||||
\(405\) | −13.4167 | + | 14.9997i | −0.666682 | + | 0.745342i | ||||
\(406\) | −61.5825 | + | 13.6855i | −3.05629 | + | 0.679199i | ||||
\(407\) | −1.89467 | + | 7.07101i | −0.0939153 | + | 0.350497i | ||||
\(408\) | 12.4491 | + | 11.6936i | 0.616322 | + | 0.578919i | ||||
\(409\) | −9.69531 | − | 16.7928i | −0.479402 | − | 0.830349i | 0.520319 | − | 0.853972i | \(-0.325813\pi\) |
−0.999721 | + | 0.0236230i | \(0.992480\pi\) | |||||||
\(410\) | −1.29394 | + | 18.5919i | −0.0639030 | + | 0.918188i | ||||
\(411\) | −6.54727 | − | 10.5628i | −0.322953 | − | 0.521024i | ||||
\(412\) | −20.7863 | − | 5.56967i | −1.02407 | − | 0.274398i | ||||
\(413\) | −0.173253 | + | 4.01518i | −0.00852522 | + | 0.197574i | ||||
\(414\) | 23.9033 | − | 15.8722i | 1.17478 | − | 0.780074i | ||||
\(415\) | −28.7533 | − | 2.00114i | −1.41144 | − | 0.0982320i | ||||
\(416\) | − | 15.4489i | − | 0.757444i | ||||||
\(417\) | −2.89651 | + | 3.08365i | −0.141843 | + | 0.151007i | ||||
\(418\) | 2.24207 | + | 2.24207i | 0.109663 | + | 0.109663i | ||||
\(419\) | 2.65836 | − | 4.60442i | 0.129869 | − | 0.224940i | −0.793756 | − | 0.608236i | \(-0.791878\pi\) |
0.923626 | + | 0.383295i | \(0.125211\pi\) | |||||||
\(420\) | −2.95653 | + | 36.2747i | −0.144264 | + | 1.77003i | ||||
\(421\) | 3.13954 | + | 5.43784i | 0.153012 | + | 0.265024i | 0.932333 | − | 0.361600i | \(-0.117769\pi\) |
−0.779322 | + | 0.626624i | \(0.784436\pi\) | |||||||
\(422\) | 3.15903 | − | 11.7896i | 0.153779 | − | 0.573911i | ||||
\(423\) | −3.86463 | + | 19.1403i | −0.187905 | + | 0.930631i | ||||
\(424\) | 26.8256 | + | 15.4878i | 1.30277 | + | 0.752153i | ||||
\(425\) | −8.12240 | − | 10.7641i | −0.393994 | − | 0.522134i | ||||
\(426\) | −32.1062 | + | 1.00472i | −1.55555 | + | 0.0486789i | ||||
\(427\) | 2.27131 | + | 4.35771i | 0.109916 | + | 0.210885i | ||||
\(428\) | 4.17407 | + | 15.5779i | 0.201762 | + | 0.752984i | ||||
\(429\) | −4.37760 | + | 0.136991i | −0.211352 | + | 0.00661401i | ||||
\(430\) | 2.07549 | + | 10.6588i | 0.100089 | + | 0.514013i | ||||
\(431\) | 12.2372 | − | 21.1955i | 0.589446 | − | 1.02095i | −0.404859 | − | 0.914379i | \(-0.632679\pi\) |
0.994305 | − | 0.106571i | \(-0.0339873\pi\) | |||||||
\(432\) | −7.36312 | + | 2.73499i | −0.354258 | + | 0.131587i | ||||
\(433\) | −18.6906 | − | 18.6906i | −0.898212 | − | 0.898212i | 0.0970660 | − | 0.995278i | \(-0.469054\pi\) |
−0.995278 | + | 0.0970660i | \(0.969054\pi\) | |||||||
\(434\) | −7.11468 | + | 1.58110i | −0.341516 | + | 0.0758951i | ||||
\(435\) | 18.2857 | + | 34.6655i | 0.876734 | + | 1.66208i | ||||
\(436\) | 47.6591 | 2.28245 | ||||||||
\(437\) | 8.59399 | + | 2.30275i | 0.411106 | + | 0.110156i | ||||
\(438\) | 53.8838 | − | 16.2607i | 2.57467 | − | 0.776966i | ||||
\(439\) | −17.8123 | + | 30.8519i | −0.850136 | + | 1.47248i | 0.0309486 | + | 0.999521i | \(0.490147\pi\) |
−0.881085 | + | 0.472958i | \(0.843186\pi\) | |||||||
\(440\) | −4.16237 | − | 2.80557i | −0.198433 | − | 0.133750i | ||||
\(441\) | −0.497201 | + | 20.9941i | −0.0236762 | + | 0.999720i | ||||
\(442\) | −18.5066 | − | 18.5066i | −0.880268 | − | 0.880268i | ||||
\(443\) | −4.59531 | − | 17.1499i | −0.218330 | − | 0.814818i | −0.984968 | − | 0.172738i | \(-0.944739\pi\) |
0.766638 | − | 0.642080i | \(-0.221928\pi\) | |||||||
\(444\) | −2.29432 | − | 73.3156i | −0.108884 | − | 3.47941i | ||||
\(445\) | 19.1336 | − | 16.6436i | 0.907018 | − | 0.788982i | ||||
\(446\) | 46.3945i | 2.19684i | ||||||||
\(447\) | 6.65359 | − | 28.3508i | 0.314704 | − | 1.34095i | ||||
\(448\) | 16.8482 | − | 26.4762i | 0.796004 | − | 1.25088i | ||||
\(449\) | − | 31.5194i | − | 1.48749i | −0.668463 | − | 0.743745i | \(-0.733048\pi\) | ||
0.668463 | − | 0.743745i | \(-0.266952\pi\) | |||||||
\(450\) | 34.7377 | − | 6.51507i | 1.63755 | − | 0.307123i | ||||
\(451\) | −1.88078 | − | 1.08587i | −0.0885625 | − | 0.0511316i | ||||
\(452\) | −10.9170 | − | 10.9170i | −0.513494 | − | 0.513494i | ||||
\(453\) | 7.31429 | + | 1.71657i | 0.343655 | + | 0.0806516i | ||||
\(454\) | −30.6138 | + | 53.0246i | −1.43678 | + | 2.48857i | ||||
\(455\) | 2.73801 | − | 24.2118i | 0.128360 | − | 1.13506i | ||||
\(456\) | −12.2325 | − | 6.56112i | −0.572841 | − | 0.307252i | ||||
\(457\) | 16.7633 | − | 4.49172i | 0.784155 | − | 0.210114i | 0.155539 | − | 0.987830i | \(-0.450288\pi\) |
0.628616 | + | 0.777716i | \(0.283622\pi\) | |||||||
\(458\) | 8.92272 | − | 2.39084i | 0.416932 | − | 0.111716i | ||||
\(459\) | 5.83872 | − | 12.7395i | 0.272528 | − | 0.594629i | ||||
\(460\) | −32.1604 | − | 2.23827i | −1.49949 | − | 0.104360i | ||||
\(461\) | 19.0338 | − | 10.9892i | 0.886492 | − | 0.511817i | 0.0136988 | − | 0.999906i | \(-0.495639\pi\) |
0.872794 | + | 0.488090i | \(0.162306\pi\) | |||||||
\(462\) | −5.70143 | − | 3.38235i | −0.265254 | − | 0.157361i | ||||
\(463\) | 5.62676 | + | 20.9993i | 0.261498 | + | 0.975922i | 0.964359 | + | 0.264596i | \(0.0852386\pi\) |
−0.702862 | + | 0.711326i | \(0.748095\pi\) | |||||||
\(464\) | 15.2970i | 0.710143i | ||||||||
\(465\) | 2.11257 | + | 4.00494i | 0.0979680 | + | 0.185725i | ||||
\(466\) | 42.2041 | 1.95507 | ||||||||
\(467\) | −26.9769 | − | 7.22845i | −1.24834 | − | 0.334493i | −0.426647 | − | 0.904418i | \(-0.640305\pi\) |
−0.821696 | + | 0.569926i | \(0.806972\pi\) | |||||||
\(468\) | 41.5969 | − | 13.9866i | 1.92282 | − | 0.646533i | ||||
\(469\) | 19.1489 | − | 17.5647i | 0.884214 | − | 0.811063i | ||||
\(470\) | 25.8738 | − | 22.5067i | 1.19347 | − | 1.03816i | ||||
\(471\) | 7.16128 | + | 3.84106i | 0.329974 | + | 0.176987i | ||||
\(472\) | 5.36479 | + | 1.43749i | 0.246935 | + | 0.0661659i | ||||
\(473\) | −1.22227 | − | 0.327507i | −0.0562001 | − | 0.0150588i | ||||
\(474\) | 31.7880 | + | 17.0500i | 1.46007 | + | 0.783131i | ||||
\(475\) | 8.64046 | + | 6.74153i | 0.396451 | + | 0.309323i | ||||
\(476\) | −5.49800 | − | 24.7401i | −0.252000 | − | 1.13396i | ||||
\(477\) | 5.03007 | − | 24.9123i | 0.230311 | − | 1.14066i | ||||
\(478\) | 49.9054 | + | 13.3721i | 2.28262 | + | 0.611626i | ||||
\(479\) | 19.6584 | 0.898216 | 0.449108 | − | 0.893477i | \(-0.351742\pi\) | ||||
0.449108 | + | 0.893477i | \(0.351742\pi\) | |||||||
\(480\) | −13.8787 | − | 4.29318i | −0.633471 | − | 0.195956i | ||||
\(481\) | 49.1081i | 2.23914i | ||||||||
\(482\) | −1.22543 | − | 4.57338i | −0.0558170 | − | 0.208312i | ||||
\(483\) | −18.6002 | − | 0.220223i | −0.846340 | − | 0.0100205i | ||||
\(484\) | −32.6759 | + | 18.8654i | −1.48527 | + | 0.857520i | ||||
\(485\) | 0.845463 | − | 12.1480i | 0.0383905 | − | 0.551612i | ||||
\(486\) | 23.0960 | + | 28.5598i | 1.04765 | + | 1.29550i | ||||
\(487\) | −5.11469 | + | 1.37048i | −0.231769 | + | 0.0621023i | −0.372834 | − | 0.927898i | \(-0.621614\pi\) |
0.141065 | + | 0.990000i | \(0.454947\pi\) | |||||||
\(488\) | 6.55978 | − | 1.75769i | 0.296947 | − | 0.0795668i | ||||
\(489\) | 3.93583 | + | 2.11105i | 0.177985 | + | 0.0954648i | ||||
\(490\) | 23.1711 | − | 28.6930i | 1.04676 | − | 1.29622i | ||||
\(491\) | −3.56826 | + | 6.18041i | −0.161033 | + | 0.278918i | −0.935240 | − | 0.354016i | \(-0.884816\pi\) |
0.774206 | + | 0.632933i | \(0.218149\pi\) | |||||||
\(492\) | 21.1854 | + | 4.97195i | 0.955112 | + | 0.224153i | ||||
\(493\) | −19.2982 | − | 19.2982i | −0.869148 | − | 0.869148i | ||||
\(494\) | 18.4209 | + | 10.6353i | 0.828795 | + | 0.478505i | ||||
\(495\) | −1.09345 | + | 3.97073i | −0.0491469 | + | 0.178471i | ||||
\(496\) | 1.76727i | 0.0793529i | ||||||||
\(497\) | 17.5688 | + | 11.1800i | 0.788070 | + | 0.501491i | ||||
\(498\) | −12.0192 | + | 51.2137i | −0.538594 | + | 2.29494i | ||||
\(499\) | 38.5885i | 1.72746i | 0.503957 | + | 0.863729i | \(0.331877\pi\) | ||||
−0.503957 | + | 0.863729i | \(0.668123\pi\) | |||||||
\(500\) | −35.3998 | − | 17.9932i | −1.58313 | − | 0.804681i | ||||
\(501\) | −0.270378 | − | 8.63999i | −0.0120796 | − | 0.386006i | ||||
\(502\) | −0.369110 | − | 1.37754i | −0.0164742 | − | 0.0614826i | ||||
\(503\) | 23.0063 | + | 23.0063i | 1.02580 | + | 1.02580i | 0.999658 | + | 0.0261397i | \(0.00832147\pi\) |
0.0261397 | + | 0.999658i | \(0.491679\pi\) | |||||||
\(504\) | 28.1733 | + | 6.96485i | 1.25494 | + | 0.310239i | ||||
\(505\) | 4.58691 | − | 0.893167i | 0.204115 | − | 0.0397454i | ||||
\(506\) | 2.93604 | − | 5.08537i | 0.130523 | − | 0.226072i | ||||
\(507\) | −6.57146 | + | 1.98309i | −0.291849 | + | 0.0880722i | ||||
\(508\) | −23.7129 | − | 6.35384i | −1.05209 | − | 0.281906i | ||||
\(509\) | 3.92958 | 0.174176 | 0.0870879 | − | 0.996201i | \(-0.472244\pi\) | ||||
0.0870879 | + | 0.996201i | \(0.472244\pi\) | |||||||
\(510\) | −21.7685 | + | 11.4827i | −0.963924 | + | 0.508461i | ||||
\(511\) | −34.8053 | − | 10.9545i | −1.53969 | − | 0.484600i | ||||
\(512\) | −11.8258 | − | 11.8258i | −0.522633 | − | 0.522633i | ||||
\(513\) | −1.90382 | + | 11.2290i | −0.0840559 | + | 0.495771i | ||||
\(514\) | −20.1829 | + | 34.9577i | −0.890227 | + | 1.54192i | ||||
\(515\) | 7.57219 | − | 11.2342i | 0.333670 | − | 0.495037i | ||||
\(516\) | 12.6731 | − | 0.396589i | 0.557903 | − | 0.0174589i | ||||
\(517\) | 1.03427 | + | 3.85997i | 0.0454874 | + | 0.169761i | ||||
\(518\) | −39.9057 | + | 62.7101i | −1.75336 | + | 2.75532i | ||||
\(519\) | −11.5330 | + | 0.360910i | −0.506242 | + | 0.0158422i | ||||
\(520\) | −31.8424 | − | 10.9525i | −1.39638 | − | 0.480299i | ||||
\(521\) | −20.9141 | − | 12.0747i | −0.916261 | − | 0.529004i | −0.0338209 | − | 0.999428i | \(-0.510768\pi\) |
−0.882440 | + | 0.470424i | \(0.844101\pi\) | |||||||
\(522\) | 67.8013 | − | 22.7977i | 2.96758 | − | 0.997827i | ||||
\(523\) | −1.11627 | + | 4.16596i | −0.0488109 | + | 0.182165i | −0.986027 | − | 0.166584i | \(-0.946726\pi\) |
0.937216 | + | 0.348748i | \(0.113393\pi\) | |||||||
\(524\) | 3.68346 | + | 6.37994i | 0.160913 | + | 0.278709i | ||||
\(525\) | −20.9900 | − | 9.18807i | −0.916078 | − | 0.401000i | ||||
\(526\) | 16.5818 | − | 28.7205i | 0.723001 | − | 1.25227i | ||||
\(527\) | −2.22954 | − | 2.22954i | −0.0971204 | − | 0.0971204i | ||||
\(528\) | −1.10054 | + | 1.17165i | −0.0478950 | + | 0.0509895i | ||||
\(529\) | 6.52300i | 0.283609i | ||||||||
\(530\) | −33.6765 | + | 29.2940i | −1.46282 | + | 1.27245i | ||||
\(531\) | −0.284934 | − | 4.54810i | −0.0123651 | − | 0.197371i | ||||
\(532\) | 9.52005 | + | 18.2651i | 0.412747 | + | 0.791892i | ||||
\(533\) | −14.0723 | − | 3.77067i | −0.609541 | − | 0.163326i | ||||
\(534\) | −24.3845 | − | 39.3398i | −1.05522 | − | 1.70240i | ||||
\(535\) | −10.1287 | − | 0.704924i | −0.437901 | − | 0.0304765i | ||||
\(536\) | −17.9550 | − | 31.0991i | −0.775540 | − | 1.34327i | ||||
\(537\) | −31.2231 | − | 29.3282i | −1.34737 | − | 1.26560i | ||||
\(538\) | −3.71201 | + | 13.8534i | −0.160036 | + | 0.597263i | ||||
\(539\) | 1.82025 | + | 3.89317i | 0.0784039 | + | 0.167691i | ||||
\(540\) | −1.00543 | − | 41.2558i | −0.0432668 | − | 1.77537i | ||||
\(541\) | 13.9854 | + | 24.2234i | 0.601280 | + | 1.04145i | 0.992628 | + | 0.121204i | \(0.0386757\pi\) |
−0.391348 | + | 0.920243i | \(0.627991\pi\) | |||||||
\(542\) | −31.0675 | + | 31.0675i | −1.33446 | + | 1.33446i | ||||
\(543\) | 8.62058 | − | 36.7321i | 0.369944 | − | 1.57633i | ||||
\(544\) | 10.1162 | 0.433730 | ||||||||
\(545\) | −9.75912 | + | 28.3728i | −0.418035 | + | 1.21536i | ||||
\(546\) | −42.8165 | − | 12.0177i | −1.83238 | − | 0.514311i | ||||
\(547\) | 5.90540 | − | 22.0392i | 0.252497 | − | 0.942330i | −0.716969 | − | 0.697105i | \(-0.754471\pi\) |
0.969466 | − | 0.245226i | \(-0.0788620\pi\) | |||||||
\(548\) | 24.6155 | + | 6.59572i | 1.05152 | + | 0.281755i | ||||
\(549\) | −3.08231 | − | 4.64192i | −0.131550 | − | 0.198112i | ||||
\(550\) | 5.77373 | − | 4.35676i | 0.246193 | − | 0.185773i | ||||
\(551\) | 19.2089 | + | 11.0902i | 0.818325 | + | 0.472460i | ||||
\(552\) | −5.87350 | + | 25.0269i | −0.249993 | + | 1.06521i | ||||
\(553\) | −10.8086 | − | 20.7374i | −0.459630 | − | 0.881842i | ||||
\(554\) | 63.1111 | + | 36.4372i | 2.68134 | + | 1.54807i | ||||
\(555\) | 44.1167 | + | 13.6469i | 1.87265 | + | 0.579280i | ||||
\(556\) | − | 8.67555i | − | 0.367925i | ||||||
\(557\) | 29.8848 | − | 8.00762i | 1.26626 | − | 0.339294i | 0.437664 | − | 0.899139i | \(-0.355806\pi\) |
0.828597 | + | 0.559845i | \(0.189139\pi\) | |||||||
\(558\) | 7.83315 | − | 2.63384i | 0.331604 | − | 0.111499i | ||||
\(559\) | −8.48867 | −0.359032 | ||||||||
\(560\) | −5.57297 | − | 6.99414i | −0.235501 | − | 0.295556i | ||||
\(561\) | −0.0897046 | − | 2.86653i | −0.00378733 | − | 0.121025i | ||||
\(562\) | 6.10472 | + | 6.10472i | 0.257512 | + | 0.257512i | ||||
\(563\) | −1.60750 | + | 5.99927i | −0.0677480 | + | 0.252839i | −0.991491 | − | 0.130173i | \(-0.958447\pi\) |
0.923743 | + | 0.383012i | \(0.125113\pi\) | |||||||
\(564\) | −21.0956 | − | 34.0339i | −0.888287 | − | 1.43308i | ||||
\(565\) | 8.73471 | − | 4.26375i | 0.367472 | − | 0.179377i | ||||
\(566\) | − | 41.6765i | − | 1.75180i | ||||||
\(567\) | −1.95065 | − | 23.7317i | −0.0819195 | − | 0.996639i | ||||
\(568\) | 20.3497 | − | 20.3497i | 0.853855 | − | 0.853855i | ||||
\(569\) | −7.86887 | − | 4.54310i | −0.329880 | − | 0.190457i | 0.325908 | − | 0.945402i | \(-0.394330\pi\) |
−0.655788 | + | 0.754945i | \(0.727663\pi\) | |||||||
\(570\) | 14.6734 | − | 13.5931i | 0.614602 | − | 0.569352i | ||||
\(571\) | −7.23205 | − | 12.5263i | −0.302652 | − | 0.524208i | 0.674084 | − | 0.738655i | \(-0.264539\pi\) |
−0.976736 | + | 0.214447i | \(0.931205\pi\) | |||||||
\(572\) | 6.35068 | − | 6.35068i | 0.265535 | − | 0.265535i | ||||
\(573\) | −14.5395 | + | 15.4789i | −0.607397 | + | 0.646640i | ||||
\(574\) | −14.9060 | − | 16.2504i | −0.622165 | − | 0.678279i | ||||
\(575\) | 7.91798 | − | 18.6877i | 0.330203 | − | 0.779331i | ||||
\(576\) | −15.8305 | + | 31.8691i | −0.659602 | + | 1.32788i | ||||
\(577\) | −1.42524 | − | 5.31908i | −0.0593336 | − | 0.221436i | 0.929893 | − | 0.367831i | \(-0.119900\pi\) |
−0.989226 | + | 0.146395i | \(0.953233\pi\) | |||||||
\(578\) | −16.2053 | + | 16.2053i | −0.674050 | + | 0.674050i | ||||
\(579\) | −8.20652 | − | 4.40170i | −0.341051 | − | 0.182928i | ||||
\(580\) | −75.9995 | − | 26.1408i | −3.15571 | − | 1.08544i | ||||
\(581\) | 25.1321 | − | 23.0529i | 1.04265 | − | 0.956395i | ||||
\(582\) | −21.6373 | − | 5.07801i | −0.896896 | − | 0.210490i | ||||
\(583\) | −1.34618 | − | 5.02400i | −0.0557530 | − | 0.208073i | ||||
\(584\) | −25.2131 | + | 43.6703i | −1.04332 | + | 1.80709i | ||||
\(585\) | −0.191127 | + | 27.6279i | −0.00790212 | + | 1.14227i | ||||
\(586\) | −40.3722 | + | 23.3089i | −1.66776 | + | 0.962881i | ||||
\(587\) | 0.703859 | + | 0.188598i | 0.0290514 | + | 0.00778429i | 0.273315 | − | 0.961924i | \(-0.411880\pi\) |
−0.244264 | + | 0.969709i | \(0.578546\pi\) | |||||||
\(588\) | −28.7315 | − | 32.0770i | −1.18487 | − | 1.32283i | ||||
\(589\) | 2.21922 | + | 1.28127i | 0.0914414 | + | 0.0527937i | ||||
\(590\) | −4.47313 | + | 6.63639i | −0.184156 | + | 0.273216i | ||||
\(591\) | −9.40682 | − | 15.1761i | −0.386945 | − | 0.624263i | ||||
\(592\) | 12.7448 | + | 12.7448i | 0.523807 | + | 0.523807i | ||||
\(593\) | −3.70216 | + | 13.8167i | −0.152030 | + | 0.567383i | 0.847312 | + | 0.531096i | \(0.178220\pi\) |
−0.999341 | + | 0.0362866i | \(0.988447\pi\) | |||||||
\(594\) | 6.83333 | + | 3.13182i | 0.280375 | + | 0.128500i | ||||
\(595\) | 15.8543 | + | 1.79290i | 0.649964 | + | 0.0735018i | ||||
\(596\) | 29.8583 | + | 51.7160i | 1.22304 | + | 2.11837i | ||||
\(597\) | 18.7072 | − | 19.9158i | 0.765633 | − | 0.815100i | ||||
\(598\) | 10.1954 | − | 38.0497i | 0.416920 | − | 1.55597i | ||||
\(599\) | −4.04412 | + | 2.33487i | −0.165238 | + | 0.0954003i | −0.580339 | − | 0.814375i | \(-0.697080\pi\) |
0.415100 | + | 0.909776i | \(0.363746\pi\) | |||||||
\(600\) | −18.6882 | + | 25.5622i | −0.762941 | + | 1.04357i | ||||
\(601\) | 41.1173 | − | 23.7391i | 1.67721 | − | 0.968338i | 0.713784 | − | 0.700366i | \(-0.246980\pi\) |
0.963427 | − | 0.267972i | \(-0.0863535\pi\) | |||||||
\(602\) | −10.8399 | − | 6.89798i | −0.441800 | − | 0.281141i | ||||
\(603\) | −19.4906 | + | 22.0959i | −0.793718 | + | 0.899816i | ||||
\(604\) | −13.3423 | + | 7.70320i | −0.542892 | + | 0.313439i | ||||
\(605\) | −4.54011 | − | 23.3160i | −0.184582 | − | 0.947929i | ||||
\(606\) | −0.266771 | − | 8.52473i | −0.0108368 | − | 0.346293i | ||||
\(607\) | −10.0700 | + | 10.0700i | −0.408730 | + | 0.408730i | −0.881296 | − | 0.472566i | \(-0.843328\pi\) |
0.472566 | + | 0.881296i | \(0.343328\pi\) | |||||||
\(608\) | −7.94148 | + | 2.12791i | −0.322069 | + | 0.0862982i | ||||
\(609\) | −44.6480 | − | 12.5318i | −1.80923 | − | 0.507813i | ||||
\(610\) | −0.679420 | + | 9.76222i | −0.0275089 | + | 0.395261i | ||||
\(611\) | 13.4037 | + | 23.2159i | 0.542256 | + | 0.939215i | ||||
\(612\) | 9.15872 | + | 27.2385i | 0.370219 | + | 1.10105i | ||||
\(613\) | −4.56704 | − | 17.0444i | −0.184461 | − | 0.688418i | −0.994745 | − | 0.102381i | \(-0.967354\pi\) |
0.810284 | − | 0.586037i | \(-0.199313\pi\) | |||||||
\(614\) | −35.4686 | + | 61.4335i | −1.43140 | + | 2.47925i | ||||
\(615\) | −7.29807 | + | 11.5942i | −0.294287 | + | 0.467522i | ||||
\(616\) | 5.79785 | − | 1.28846i | 0.233602 | − | 0.0519134i | ||||
\(617\) | −4.36219 | + | 1.16885i | −0.175615 | + | 0.0470560i | −0.345555 | − | 0.938398i | \(-0.612309\pi\) |
0.169940 | + | 0.985454i | \(0.445643\pi\) | |||||||
\(618\) | −18.0226 | − | 16.9289i | −0.724976 | − | 0.680979i | ||||
\(619\) | 28.5390 | 1.14708 | 0.573539 | − | 0.819178i | \(-0.305570\pi\) | ||||
0.573539 | + | 0.819178i | \(0.305570\pi\) | |||||||
\(620\) | −8.78030 | − | 3.02007i | −0.352625 | − | 0.121289i | ||||
\(621\) | 20.9993 | − | 1.97661i | 0.842674 | − | 0.0793185i | ||||
\(622\) | −25.6122 | + | 25.6122i | −1.02696 | + | 1.02696i | ||||
\(623\) | −1.29353 | + | 29.9778i | −0.0518241 | + | 1.20104i | ||||
\(624\) | −5.09699 | + | 9.50283i | −0.204043 | + | 0.380417i | ||||
\(625\) | 17.9607 | − | 17.3901i | 0.718427 | − | 0.695602i | ||||
\(626\) | 28.9871 | − | 16.7357i | 1.15856 | − | 0.668894i | ||||
\(627\) | 0.673386 | + | 2.23143i | 0.0268924 | + | 0.0891147i | ||||
\(628\) | −16.0963 | + | 4.31299i | −0.642313 | + | 0.172107i | ||||
\(629\) | −32.1569 | −1.28218 | ||||||||
\(630\) | −22.6948 | + | 35.1249i | −0.904181 | + | 1.39941i | ||||
\(631\) | 8.33687 | 0.331886 | 0.165943 | − | 0.986135i | \(-0.446933\pi\) | ||||
0.165943 | + | 0.986135i | \(0.446933\pi\) | |||||||
\(632\) | −31.2165 | + | 8.36443i | −1.24173 | + | 0.332719i | ||||
\(633\) | 6.14279 | − | 6.53967i | 0.244154 | − | 0.259929i | ||||
\(634\) | 37.4483 | − | 21.6208i | 1.48726 | − | 0.858671i | ||||
\(635\) | 8.63830 | − | 12.8159i | 0.342800 | − | 0.508583i | ||||
\(636\) | 27.4574 | + | 44.2973i | 1.08876 | + | 1.75650i | ||||
\(637\) | 18.5543 | + | 22.0664i | 0.735149 | + | 0.874302i | ||||
\(638\) | 10.3513 | − | 10.3513i | 0.409814 | − | 0.409814i | ||||
\(639\) | −21.1474 | − | 10.5046i | −0.836577 | − | 0.415556i | ||||
\(640\) | 41.0855 | − | 20.0554i | 1.62405 | − | 0.792760i | ||||
\(641\) | −15.7797 | −0.623260 | −0.311630 | − | 0.950203i | \(-0.600875\pi\) | ||||
−0.311630 | + | 0.950203i | \(0.600875\pi\) | |||||||
\(642\) | −4.23391 | + | 18.0406i | −0.167099 | + | 0.712007i | ||||
\(643\) | −29.7494 | + | 7.97132i | −1.17320 | + | 0.314358i | −0.792226 | − | 0.610227i | \(-0.791078\pi\) |
−0.380974 | + | 0.924586i | \(0.624411\pi\) | |||||||
\(644\) | 28.1101 | − | 25.7846i | 1.10769 | − | 1.01606i | ||||
\(645\) | −2.35897 | + | 7.62588i | −0.0928842 | + | 0.300269i | ||||
\(646\) | −6.96420 | + | 12.0624i | −0.274003 | + | 0.474587i | ||||
\(647\) | −6.87041 | − | 25.6407i | −0.270104 | − | 1.00804i | −0.959052 | − | 0.283230i | \(-0.908594\pi\) |
0.688948 | − | 0.724811i | \(-0.258073\pi\) | |||||||
\(648\) | −32.6004 | − | 4.48329i | −1.28067 | − | 0.176120i | ||||
\(649\) | −0.466301 | − | 0.807656i | −0.0183039 | − | 0.0317033i | ||||
\(650\) | 29.8480 | − | 38.2554i | 1.17073 | − | 1.50050i | ||||
\(651\) | −5.15823 | − | 1.44781i | −0.202167 | − | 0.0567441i | ||||
\(652\) | −8.84652 | + | 2.37042i | −0.346456 | + | 0.0928327i | ||||
\(653\) | −11.3383 | + | 11.3383i | −0.443702 | + | 0.443702i | −0.893254 | − | 0.449552i | \(-0.851584\pi\) |
0.449552 | + | 0.893254i | \(0.351584\pi\) | |||||||
\(654\) | 48.2581 | + | 25.8840i | 1.88704 | + | 1.01214i | ||||
\(655\) | −4.55243 | + | 0.886453i | −0.177878 | + | 0.0346366i | ||||
\(656\) | −4.63071 | + | 2.67354i | −0.180799 | + | 0.104384i | ||||
\(657\) | 40.5556 | + | 8.18862i | 1.58222 | + | 0.319468i | ||||
\(658\) | −1.74921 | + | 40.5383i | −0.0681912 | + | 1.58035i | ||||
\(659\) | 5.76800 | − | 3.33016i | 0.224690 | − | 0.129725i | −0.383430 | − | 0.923570i | \(-0.625257\pi\) |
0.608120 | + | 0.793845i | \(0.291924\pi\) | |||||||
\(660\) | −3.94037 | − | 7.47002i | −0.153379 | − | 0.290770i | ||||
\(661\) | −15.9387 | + | 9.20223i | −0.619945 | + | 0.357925i | −0.776848 | − | 0.629689i | \(-0.783182\pi\) |
0.156903 | + | 0.987614i | \(0.449849\pi\) | |||||||
\(662\) | −8.66094 | + | 32.3231i | −0.336617 | + | 1.25627i | ||||
\(663\) | −5.55828 | − | 18.4187i | −0.215866 | − | 0.715324i | ||||
\(664\) | −23.5652 | − | 40.8161i | −0.914506 | − | 1.58397i | ||||
\(665\) | −12.8231 | + | 1.92743i | −0.497260 | + | 0.0747425i | ||||
\(666\) | 37.4951 | − | 75.4832i | 1.45291 | − | 2.92491i | ||||
\(667\) | 10.6315 | − | 39.6773i | 0.411653 | − | 1.53631i | ||||
\(668\) | 12.5342 | + | 12.5342i | 0.484963 | + | 0.484963i | ||||
\(669\) | −16.1200 | + | 30.0542i | −0.623236 | + | 1.16196i | ||||
\(670\) | 50.7911 | − | 9.89009i | 1.96223 | − | 0.382088i | ||||
\(671\) | −0.987559 | − | 0.570167i | −0.0381243 | − | 0.0220111i | ||||
\(672\) | 14.9870 | − | 8.41775i | 0.578135 | − | 0.324722i | ||||
\(673\) | 21.3635 | + | 5.72433i | 0.823502 | + | 0.220657i | 0.645877 | − | 0.763442i | \(-0.276492\pi\) |
0.177625 | + | 0.984098i | \(0.443159\pi\) | |||||||
\(674\) | 0.492052 | − | 0.284086i | 0.0189531 | − | 0.0109426i | ||||
\(675\) | 24.7667 | + | 7.84937i | 0.953269 | + | 0.302123i | ||||
\(676\) | 7.03792 | − | 12.1900i | 0.270689 | − | 0.468847i | ||||
\(677\) | −6.61542 | − | 24.6891i | −0.254251 | − | 0.948879i | −0.968505 | − | 0.248993i | \(-0.919901\pi\) |
0.714254 | − | 0.699887i | \(-0.246766\pi\) | |||||||
\(678\) | −5.12513 | − | 16.9834i | −0.196829 | − | 0.652243i | ||||
\(679\) | 9.73964 | + | 10.6181i | 0.373773 | + | 0.407484i | ||||
\(680\) | 7.17191 | − | 20.8510i | 0.275030 | − | 0.799599i | ||||
\(681\) | −38.2552 | + | 23.7122i | −1.46594 | + | 0.908655i | ||||
\(682\) | 1.19590 | − | 1.19590i | 0.0457934 | − | 0.0457934i | ||||
\(683\) | 6.12973 | + | 22.8765i | 0.234548 | + | 0.875344i | 0.978352 | + | 0.206947i | \(0.0663526\pi\) |
−0.743805 | + | 0.668397i | \(0.766981\pi\) | |||||||
\(684\) | −12.9193 | − | 19.4563i | −0.493983 | − | 0.743931i | ||||
\(685\) | −8.96713 | + | 13.3037i | −0.342617 | + | 0.508310i | ||||
\(686\) | 5.76213 | + | 43.2558i | 0.219999 | + | 1.65151i | ||||
\(687\) | 6.61082 | + | 1.55148i | 0.252219 | + | 0.0591926i | ||||
\(688\) | −2.20302 | + | 2.20302i | −0.0839894 | + | 0.0839894i | ||||
\(689\) | −17.4458 | − | 30.2171i | −0.664633 | − | 1.15118i | ||||
\(690\) | −31.3490 | − | 19.7330i | −1.19344 | − | 0.751221i | ||||
\(691\) | 3.20996 | + | 1.85327i | 0.122112 | + | 0.0705017i | 0.559812 | − | 0.828620i | \(-0.310873\pi\) |
−0.437700 | + | 0.899121i | \(0.644207\pi\) | |||||||
\(692\) | 16.7311 | − | 16.7311i | 0.636023 | − | 0.636023i | ||||
\(693\) | −2.51815 | − | 4.17207i | −0.0956566 | − | 0.158484i | ||||
\(694\) | − | 74.4244i | − | 2.82511i | ||||||
\(695\) | 5.16481 | + | 1.77649i | 0.195912 | + | 0.0673861i | ||||
\(696\) | −30.2918 | + | 56.4760i | −1.14821 | + | 2.14072i | ||||
\(697\) | 2.46911 | − | 9.21484i | 0.0935242 | − | 0.349037i | ||||
\(698\) | −32.1928 | − | 32.1928i | −1.21851 | − | 1.21851i | ||||
\(699\) | 27.3397 | + | 14.6641i | 1.03408 | + | 0.554646i | ||||
\(700\) | 44.2724 | − | 15.7358i | 1.67334 | − | 0.594759i | ||||
\(701\) | −0.320822 | −0.0121173 | −0.00605865 | − | 0.999982i | \(-0.501929\pi\) | ||||
−0.00605865 | + | 0.999982i | \(0.501929\pi\) | |||||||
\(702\) | 49.7160 | + | 8.42914i | 1.87641 | + | 0.318137i | ||||
\(703\) | 25.2439 | − | 6.76409i | 0.952093 | − | 0.255113i | ||||
\(704\) | 7.28238i | 0.274465i | ||||||||
\(705\) | 24.5811 | − | 5.58975i | 0.925777 | − | 0.210522i | ||||
\(706\) | −41.5425 | − | 23.9846i | −1.56347 | − | 0.902672i | ||||
\(707\) | −2.96848 | + | 4.66483i | −0.111641 | + | 0.175439i | ||||
\(708\) | 6.81118 | + | 6.39782i | 0.255980 | + | 0.240445i | ||||
\(709\) | 6.78811 | + | 3.91912i | 0.254933 | + | 0.147186i | 0.622021 | − | 0.783001i | \(-0.286312\pi\) |
−0.367088 | + | 0.930186i | \(0.619645\pi\) | |||||||
\(710\) | 18.1911 | + | 37.2663i | 0.682700 | + | 1.39858i | ||||
\(711\) | 14.6680 | + | 22.0898i | 0.550094 | + | 0.828433i | ||||
\(712\) | 40.0542 | + | 10.7325i | 1.50110 | + | 0.402217i | ||||
\(713\) | 1.22827 | − | 4.58396i | 0.0459990 | − | 0.171671i | ||||
\(714\) | 7.86943 | − | 28.0371i | 0.294506 | − | 1.04926i | ||||
\(715\) | 2.48032 | + | 5.08117i | 0.0927586 | + | 0.190025i | ||||
\(716\) | 87.8430 | 3.28285 | ||||||||
\(717\) | 27.6823 | + | 26.0023i | 1.03382 | + | 0.971075i | ||||
\(718\) | −5.04544 | + | 5.04544i | −0.188294 | + | 0.188294i | ||||
\(719\) | 5.19127 | + | 8.99155i | 0.193602 | + | 0.335328i | 0.946441 | − | 0.322876i | \(-0.104650\pi\) |
−0.752839 | + | 0.658204i | \(0.771316\pi\) | |||||||
\(720\) | 7.12052 | + | 7.21973i | 0.265366 | + | 0.269063i | ||||
\(721\) | 3.47753 | + | 15.6483i | 0.129510 | + | 0.582773i | ||||
\(722\) | −8.65708 | + | 32.3087i | −0.322183 | + | 1.20240i | ||||
\(723\) | 0.795217 | − | 3.38841i | 0.0295744 | − | 0.126016i | ||||
\(724\) | 38.6852 | + | 67.0048i | 1.43773 | + | 2.49021i | ||||
\(725\) | 31.1248 | − | 39.8918i | 1.15594 | − | 1.48155i | ||||
\(726\) | −43.3325 | + | 1.35604i | −1.60822 | + | 0.0503273i | ||||
\(727\) | −29.3488 | − | 7.86398i | −1.08849 | − | 0.291659i | −0.330418 | − | 0.943835i | \(-0.607190\pi\) |
−0.758068 | + | 0.652176i | \(0.773857\pi\) | |||||||
\(728\) | 35.3316 | − | 18.4154i | 1.30948 | − | 0.682520i | ||||
\(729\) | 5.03823 | + | 26.5258i | 0.186601 | + | 0.982436i | ||||
\(730\) | −47.6886 | − | 54.8231i | −1.76504 | − | 2.02910i | ||||
\(731\) | − | 5.55854i | − | 0.205590i | ||||||
\(732\) | 11.1240 | + | 2.61067i | 0.411156 | + | 0.0964931i | ||||
\(733\) | 12.4307 | + | 12.4307i | 0.459137 | + | 0.459137i | 0.898372 | − | 0.439235i | \(-0.144751\pi\) |
−0.439235 | + | 0.898372i | \(0.644751\pi\) | |||||||
\(734\) | 38.4572 | − | 66.6099i | 1.41948 | − | 2.45862i | ||||
\(735\) | 24.9797 | − | 10.5363i | 0.921391 | − | 0.388637i | ||||
\(736\) | 7.61298 | + | 13.1861i | 0.280618 | + | 0.486045i | ||||
\(737\) | −1.56063 | + | 5.82434i | −0.0574865 | + | 0.214542i | ||||
\(738\) | 18.7514 | + | 16.5404i | 0.690248 | + | 0.608860i | ||||
\(739\) | 21.1462 | + | 12.2087i | 0.777874 | + | 0.449106i | 0.835676 | − | 0.549222i | \(-0.185076\pi\) |
−0.0578020 | + | 0.998328i | \(0.518409\pi\) | |||||||
\(740\) | −85.0989 | + | 41.5401i | −3.12830 | + | 1.52705i | ||||
\(741\) | 8.23769 | + | 13.2900i | 0.302619 | + | 0.488219i | ||||
\(742\) | 2.27671 | − | 52.7633i | 0.0835806 | − | 1.93700i | ||||
\(743\) | 3.78319 | + | 14.1190i | 0.138792 | + | 0.517978i | 0.999953 | + | 0.00964662i | \(0.00307066\pi\) |
−0.861162 | + | 0.508331i | \(0.830263\pi\) | |||||||
\(744\) | −3.49964 | + | 6.52473i | −0.128303 | + | 0.239208i | ||||
\(745\) | −36.9021 | + | 7.18562i | −1.35199 | + | 0.263261i | ||||
\(746\) | −11.5151 | + | 19.9447i | −0.421596 | + | 0.730227i | ||||
\(747\) | −25.5805 | + | 28.9999i | −0.935942 | + | 1.06105i | ||||
\(748\) | 4.15855 | + | 4.15855i | 0.152051 | + | 0.152051i | ||||
\(749\) | 8.85306 | − | 8.12065i | 0.323484 | − | 0.296722i | ||||
\(750\) | −26.0725 | − | 37.4452i | −0.952033 | − | 1.36731i | ||||
\(751\) | −26.6954 | −0.974128 | −0.487064 | − | 0.873366i | \(-0.661932\pi\) | ||||
−0.487064 | + | 0.873366i | \(0.661932\pi\) | |||||||
\(752\) | 9.50371 | + | 2.54651i | 0.346565 | + | 0.0928617i | ||||
\(753\) | 0.239526 | − | 1.02061i | 0.00872880 | − | 0.0371933i | ||||
\(754\) | 49.1018 | − | 85.0468i | 1.78818 | − | 3.09722i | ||||
\(755\) | −1.85383 | − | 9.52045i | −0.0674679 | − | 0.346485i | ||||
\(756\) | 36.2337 | + | 32.7322i | 1.31781 | + | 1.19046i | ||||
\(757\) | 18.3328 | + | 18.3328i | 0.666318 | + | 0.666318i | 0.956862 | − | 0.290544i | \(-0.0938363\pi\) |
−0.290544 | + | 0.956862i | \(0.593836\pi\) | |||||||
\(758\) | 3.00368 | + | 11.2099i | 0.109099 | + | 0.407162i | ||||
\(759\) | 3.66890 | − | 2.27414i | 0.133173 | − | 0.0825461i | ||||
\(760\) | −1.24419 | + | 17.8771i | −0.0451316 | + | 0.648471i | ||||
\(761\) | − | 26.5913i | − | 0.963933i | −0.876190 | − | 0.481967i | \(-0.839923\pi\) | ||
0.876190 | − | 0.481967i | \(-0.160077\pi\) | |||||||
\(762\) | −20.5601 | − | 19.3123i | −0.744813 | − | 0.699612i | ||||
\(763\) | −16.4089 | − | 31.4819i | −0.594041 | − | 1.13972i | ||||
\(764\) | − | 43.5484i | − | 1.57552i | ||||||
\(765\) | −18.0913 | − | 0.125153i | −0.654091 | − | 0.00452493i | ||||
\(766\) | −14.2420 | − | 8.22262i | −0.514584 | − | 0.297095i | ||||
\(767\) | −4.42381 | − | 4.42381i | −0.159734 | − | 0.159734i | ||||
\(768\) | −12.2362 | − | 40.5477i | −0.441537 | − | 1.46314i | ||||
\(769\) | 11.4217 | − | 19.7830i | 0.411878 | − | 0.713394i | −0.583217 | − | 0.812317i | \(-0.698206\pi\) |
0.995095 | + | 0.0989222i | \(0.0315395\pi\) | |||||||
\(770\) | −0.961693 | + | 8.50408i | −0.0346570 | + | 0.306466i | ||||
\(771\) | −25.2207 | + | 15.6328i | −0.908300 | + | 0.563003i | ||||
\(772\) | 18.4457 | − | 4.94251i | 0.663875 | − | 0.177885i | ||||
\(773\) | −41.0911 | + | 11.0103i | −1.47795 | + | 0.396014i | −0.905648 | − | 0.424031i | \(-0.860615\pi\) |
−0.572298 | + | 0.820046i | \(0.693948\pi\) | |||||||
\(774\) | 13.0478 | + | 6.48129i | 0.468993 | + | 0.232965i | ||||
\(775\) | 3.59587 | − | 4.60874i | 0.129168 | − | 0.165551i | ||||
\(776\) | 17.2444 | − | 9.95608i | 0.619039 | − | 0.357402i | ||||
\(777\) | −47.6398 | + | 26.7579i | −1.70907 | + | 0.959934i | ||||
\(778\) | −4.71677 | − | 17.6032i | −0.169104 | − | 0.631106i | ||||
\(779\) | 7.75324i | 0.277789i | ||||||||
\(780\) | −38.5024 | − | 41.5625i | −1.37861 | − | 1.48818i | ||||
\(781\) | −4.83237 | −0.172916 | ||||||||
\(782\) | 24.9157 | + | 6.67613i | 0.890982 | + | 0.238738i | ||||
\(783\) | 51.8426 | + | 8.78970i | 1.85270 | + | 0.314118i | ||||
\(784\) | 10.5421 | + | 0.911469i | 0.376503 | + | 0.0325525i | ||||
\(785\) | 0.728385 | − | 10.4658i | 0.0259972 | − | 0.373539i | ||||
\(786\) | 0.264765 | + | 8.46065i | 0.00944387 | + | 0.301781i | ||||
\(787\) | 2.01470 | + | 0.539838i | 0.0718164 | + | 0.0192431i | 0.294548 | − | 0.955637i | \(-0.404831\pi\) |
−0.222732 | + | 0.974880i | \(0.571497\pi\) | |||||||
\(788\) | 35.3665 | + | 9.47642i | 1.25988 | + | 0.337583i | ||||
\(789\) | 20.7208 | − | 12.8436i | 0.737678 | − | 0.457245i | ||||
\(790\) | 3.23320 | − | 46.4561i | 0.115032 | − | 1.65283i | ||||
\(791\) | −3.45271 | + | 10.9701i | −0.122764 | + | 0.390052i | ||||
\(792\) | −6.38334 | + | 2.14635i | −0.226822 | + | 0.0762672i | ||||
\(793\) | −7.38910 | − | 1.97990i | −0.262395 | − | 0.0703084i | ||||
\(794\) | −67.6451 | −2.40064 | ||||||||
\(795\) | −31.9939 | + | 7.27543i | −1.13471 | + | 0.258033i | ||||
\(796\) | 56.0312i | 1.98597i | ||||||||
\(797\) | 9.49726 | + | 35.4442i | 0.336410 | + | 1.25550i | 0.902332 | + | 0.431041i | \(0.141854\pi\) |
−0.565922 | + | 0.824459i | \(0.691480\pi\) | |||||||
\(798\) | −0.280189 | + | 23.6651i | −0.00991859 | + | 0.837734i | ||||
\(799\) | −15.2022 | + | 8.77701i | −0.537816 | + | 0.310508i | ||||
\(800\) | 2.29787 | + | 18.6136i | 0.0812421 | + | 0.658091i | ||||
\(801\) | −2.12735 | − | 33.9567i | −0.0751662 | − | 1.19980i | ||||
\(802\) | −39.9988 | + | 10.7176i | −1.41241 | + | 0.378453i | ||||
\(803\) | 8.17874 | − | 2.19149i | 0.288622 | − | 0.0773359i | ||||
\(804\) | −1.88982 | − | 60.3896i | −0.0666488 | − | 2.12978i | ||||
\(805\) | 9.59422 | + | 22.0147i | 0.338152 | + | 0.775915i | ||||
\(806\) | 5.67278 | − | 9.82554i | 0.199815 | − | 0.346090i | ||||
\(807\) | −7.21808 | + | 7.68444i | −0.254088 | + | 0.270505i | ||||
\(808\) | 5.40319 | + | 5.40319i | 0.190084 | + | 0.190084i | ||||
\(809\) | 2.41008 | + | 1.39146i | 0.0847338 | + | 0.0489211i | 0.541768 | − | 0.840528i | \(-0.317755\pi\) |
−0.457034 | + | 0.889449i | \(0.651088\pi\) | |||||||
\(810\) | 21.3883 | − | 42.3204i | 0.751507 | − | 1.48699i | ||||
\(811\) | 24.0216i | 0.843511i | 0.906710 | + | 0.421756i | \(0.138586\pi\) | ||||
−0.906710 | + | 0.421756i | \(0.861414\pi\) | |||||||
\(812\) | 84.3274 | − | 43.9528i | 2.95931 | − | 1.54244i | ||||
\(813\) | −30.9200 | + | 9.33083i | −1.08441 | + | 0.327247i | ||||
\(814\) | − | 17.2486i | − | 0.604563i | ||||||
\(815\) | 0.400320 | − | 5.75198i | 0.0140226 | − | 0.201483i | ||||
\(816\) | −6.22263 | − | 3.33761i | −0.217836 | − | 0.116840i | ||||
\(817\) | 1.16922 | + | 4.36359i | 0.0409058 | + | 0.152663i | ||||
\(818\) | 32.3068 | + | 32.3068i | 1.12958 | + | 1.12958i | ||||
\(819\) | −23.5608 | − | 22.6619i | −0.823280 | − | 0.791870i | ||||
\(820\) | −5.36952 | − | 27.5754i | −0.187512 | − | 0.962976i | ||||
\(821\) | −17.5065 | + | 30.3221i | −0.610980 | + | 1.05825i | 0.380096 | + | 0.924947i | \(0.375891\pi\) |
−0.991076 | + | 0.133301i | \(0.957442\pi\) | |||||||
\(822\) | 21.3428 | + | 20.0475i | 0.744414 | + | 0.699237i | ||||
\(823\) | −4.16794 | − | 1.11680i | −0.145285 | − | 0.0389291i | 0.185443 | − | 0.982655i | \(-0.440628\pi\) |
−0.330729 | + | 0.943726i | \(0.607295\pi\) | |||||||
\(824\) | 22.1531 | 0.771741 | ||||||||
\(825\) | 5.25398 | − | 0.816180i | 0.182920 | − | 0.0284157i | ||||
\(826\) | −2.05429 | − | 9.24395i | −0.0714777 | − | 0.321638i | ||||
\(827\) | −15.1274 | − | 15.1274i | −0.526030 | − | 0.526030i | 0.393356 | − | 0.919386i | \(-0.371314\pi\) |
−0.919386 | + | 0.393356i | \(0.871314\pi\) | |||||||
\(828\) | −28.6117 | + | 32.4363i | −0.994327 | + | 1.12724i | ||||
\(829\) | 5.12354 | − | 8.87424i | 0.177948 | − | 0.308215i | −0.763230 | − | 0.646127i | \(-0.776387\pi\) |
0.941178 | + | 0.337912i | \(0.109721\pi\) | |||||||
\(830\) | 66.6610 | − | 12.9803i | 2.31384 | − | 0.450553i | ||||
\(831\) | 28.2229 | + | 45.5323i | 0.979040 | + | 1.57950i | ||||
\(832\) | 12.6440 | + | 47.1881i | 0.438352 | + | 1.63595i | ||||
\(833\) | −14.4495 | + | 12.1497i | −0.500645 | + | 0.420963i | ||||
\(834\) | 4.71176 | − | 8.78460i | 0.163155 | − | 0.304186i | ||||
\(835\) | −10.0286 | + | 4.89535i | −0.347054 | + | 0.169411i | ||||
\(836\) | −4.13929 | − | 2.38982i | −0.143160 | − | 0.0826537i | ||||
\(837\) | 5.98943 | + | 1.01548i | 0.207025 | + | 0.0351002i | ||||
\(838\) | −3.24233 | + | 12.1005i | −0.112004 | + | 0.418006i | ||||
\(839\) | −4.55617 | − | 7.89151i | −0.157296 | − | 0.272445i | 0.776596 | − | 0.629998i | \(-0.216944\pi\) |
−0.933893 | + | 0.357553i | \(0.883611\pi\) | |||||||
\(840\) | −6.72514 | − | 36.8581i | −0.232040 | − | 1.27172i | ||||
\(841\) | 36.7022 | − | 63.5700i | 1.26559 | − | 2.19207i | ||||
\(842\) | −10.4616 | − | 10.4616i | −0.360530 | − | 0.360530i | ||||
\(843\) | 1.83350 | + | 6.07574i | 0.0631489 | + | 0.209259i | ||||
\(844\) | 18.3987i | 0.633310i | ||||||||
\(845\) | 5.81592 | + | 6.68602i | 0.200074 | + | 0.230006i | ||||
\(846\) | −2.87676 | − | 45.9188i | −0.0989051 | − | 1.57872i | ||||
\(847\) | 23.7120 | + | 15.0892i | 0.814755 | + | 0.518472i | ||||
\(848\) | −12.3697 | − | 3.31445i | −0.424778 | − | 0.113819i | ||||
\(849\) | 14.4808 | − | 26.9979i | 0.496978 | − | 0.926566i | ||||
\(850\) | 25.0504 | + | 19.5450i | 0.859221 | + | 0.670389i | ||||
\(851\) | −24.1997 | − | 41.9151i | −0.829556 | − | 1.43683i | ||||
\(852\) | 46.3560 | − | 13.9890i | 1.58813 | − | 0.479255i | ||||
\(853\) | −3.17364 | + | 11.8442i | −0.108663 | + | 0.405537i | −0.998735 | − | 0.0502838i | \(-0.983987\pi\) |
0.890072 | + | 0.455820i | \(0.150654\pi\) | |||||||
\(854\) | −7.82685 | − | 8.53276i | −0.267829 | − | 0.291985i | ||||
\(855\) | 14.2284 | − | 3.70718i | 0.486601 | − | 0.126783i | ||||
\(856\) | −8.30111 | − | 14.3779i | −0.283726 | − | 0.491428i | ||||
\(857\) | −19.7785 | + | 19.7785i | −0.675620 | + | 0.675620i | −0.959006 | − | 0.283386i | \(-0.908542\pi\) |
0.283386 | + | 0.959006i | \(0.408542\pi\) | |||||||
\(858\) | 9.87960 | − | 2.98140i | 0.337284 | − | 0.101783i | ||||
\(859\) | −36.6092 | −1.24909 | −0.624544 | − | 0.780989i | \(-0.714715\pi\) | ||||
−0.624544 | + | 0.780989i | \(0.714715\pi\) | |||||||
\(860\) | −7.18050 | − | 14.7099i | −0.244853 | − | 0.501605i | ||||
\(861\) | −4.00977 | − | 15.7061i | −0.136653 | − | 0.535264i | ||||
\(862\) | −14.9254 | + | 55.7023i | −0.508360 | + | 1.89723i | ||||
\(863\) | 3.25623 | + | 0.872506i | 0.110844 | + | 0.0297004i | 0.313814 | − | 0.949484i | \(-0.398393\pi\) |
−0.202971 | + | 0.979185i | \(0.565060\pi\) | |||||||
\(864\) | −15.8919 | + | 11.2843i | −0.540653 | + | 0.383899i | ||||
\(865\) | 6.53450 | + | 13.3866i | 0.222180 | + | 0.455157i | ||||
\(866\) | 53.9368 | + | 31.1404i | 1.83285 | + | 1.05819i | ||||
\(867\) | −16.1283 | + | 4.86710i | −0.547747 | + | 0.165295i | ||||
\(868\) | 9.74243 | − | 5.07791i | 0.330680 | − | 0.172356i | ||||
\(869\) | 4.69956 | + | 2.71329i | 0.159422 | + | 0.0920422i | ||||
\(870\) | −62.7574 | − | 67.7452i | −2.12768 | − | 2.29678i | ||||
\(871\) | 40.4500i | 1.37060i | ||||||||
\(872\) | −47.3905 | + | 12.6982i | −1.60485 | + | 0.430017i | ||||
\(873\) | −12.2522 | − | 10.8075i | −0.414674 | − | 0.365780i | ||||
\(874\) | −20.9637 | −0.709107 | ||||||||
\(875\) | 0.302365 | + | 29.5789i | 0.0102218 | + | 0.999948i | ||||
\(876\) | −72.1131 | + | 44.6988i | −2.43648 | + | 1.51023i | ||||
\(877\) | 19.1293 | + | 19.1293i | 0.645951 | + | 0.645951i | 0.952012 | − | 0.306061i | \(-0.0990111\pi\) |
−0.306061 | + | 0.952012i | \(0.599011\pi\) | |||||||
\(878\) | 21.7252 | − | 81.0795i | 0.733190 | − | 2.73630i | ||||
\(879\) | −34.2518 | + | 1.07187i | −1.15528 | + | 0.0361532i | ||||
\(880\) | 1.96239 | + | 0.674986i | 0.0661523 | + | 0.0227538i | ||||
\(881\) | − | 25.3709i | − | 0.854768i | −0.904070 | − | 0.427384i | \(-0.859435\pi\) | ||
0.904070 | − | 0.427384i | \(-0.140565\pi\) | |||||||
\(882\) | −11.6714 | − | 48.0845i | −0.392995 | − | 1.61909i | ||||
\(883\) | 5.13209 | − | 5.13209i | 0.172709 | − | 0.172709i | −0.615460 | − | 0.788168i | \(-0.711030\pi\) |
0.788168 | + | 0.615460i | \(0.211030\pi\) | |||||||
\(884\) | 34.1667 | + | 19.7261i | 1.14915 | + | 0.663462i | ||||
\(885\) | −5.20353 | + | 2.74481i | −0.174915 | + | 0.0922659i | ||||
\(886\) | 20.9173 | + | 36.2298i | 0.702730 | + | 1.21716i | ||||
\(887\) | 30.7453 | − | 30.7453i | 1.03233 | − | 1.03233i | 0.0328663 | − | 0.999460i | \(-0.489536\pi\) |
0.999460 | − | 0.0328663i | \(-0.0104636\pi\) | |||||||
\(888\) | 21.8156 | + | 72.2912i | 0.732082 | + | 2.42593i | ||||
\(889\) | 3.96714 | + | 17.8515i | 0.133054 | + | 0.598720i | ||||
\(890\) | −33.3969 | + | 49.5481i | −1.11947 | + | 1.66086i | ||||
\(891\) | 3.33844 | + | 4.40307i | 0.111842 | + | 0.147508i | ||||
\(892\) | −18.1006 | − | 67.5524i | −0.606053 | − | 2.26182i | ||||
\(893\) | 10.0879 | − | 10.0879i | 0.337579 | − | 0.337579i | ||||
\(894\) | 2.14620 | + | 68.5823i | 0.0717796 | + | 2.29373i | ||||
\(895\) | −17.9876 | + | 52.2955i | −0.601258 | + | 1.74805i | ||||
\(896\) | −16.2405 | + | 51.6001i | −0.542557 | + | 1.72384i | ||||
\(897\) | 19.8251 | − | 21.1060i | 0.661942 | − | 0.704709i | ||||
\(898\) | 19.2216 | + | 71.7361i | 0.641434 | + | 2.39386i | ||||
\(899\) | 5.91544 | − | 10.2458i | 0.197291 | − | 0.341718i | ||||
\(900\) | −48.0378 | + | 23.0390i | −1.60126 | + | 0.767966i | ||||
\(901\) | 19.7867 | − | 11.4239i | 0.659191 | − | 0.380584i | ||||
\(902\) | 4.94274 | + | 1.32440i | 0.164575 | + | 0.0440978i | ||||
\(903\) | −4.62529 | − | 8.23486i | −0.153920 | − | 0.274039i | ||||
\(904\) | 13.7643 | + | 7.94680i | 0.457792 | + | 0.264307i | ||||
\(905\) | −47.8114 | + | 9.30989i | −1.58931 | + | 0.309471i | ||||
\(906\) | −17.6937 | + | 0.553702i | −0.587833 | + | 0.0183955i | ||||
\(907\) | 3.54190 | + | 3.54190i | 0.117607 | + | 0.117607i | 0.763461 | − | 0.645854i | \(-0.223499\pi\) |
−0.645854 | + | 0.763461i | \(0.723499\pi\) | |||||||
\(908\) | 23.8877 | − | 89.1500i | 0.792741 | − | 2.95855i | ||||
\(909\) | 2.78916 | − | 5.61498i | 0.0925104 | − | 0.186237i | ||||
\(910\) | 8.53365 | + | 56.7742i | 0.282888 | + | 1.88205i | ||||
\(911\) | −11.8454 | − | 20.5168i | −0.392455 | − | 0.679752i | 0.600318 | − | 0.799762i | \(-0.295041\pi\) |
−0.992773 | + | 0.120009i | \(0.961708\pi\) | |||||||
\(912\) | 5.58697 | + | 1.31119i | 0.185003 | + | 0.0434179i | ||||
\(913\) | −2.04825 | + | 7.64419i | −0.0677873 | + | 0.252986i | ||||
\(914\) | −35.4131 | + | 20.4457i | −1.17136 | + | 0.676285i | ||||
\(915\) | −3.83207 | + | 6.08786i | −0.126684 | + | 0.201259i | ||||
\(916\) | −12.0591 | + | 6.96233i | −0.398444 | + | 0.230042i | ||||
\(917\) | 2.94616 | − | 4.62976i | 0.0972908 | − | 0.152888i | ||||
\(918\) | −5.51956 | + | 32.5550i | −0.182173 | + | 1.07447i | ||||
\(919\) | −17.6647 | + | 10.1987i | −0.582706 | + | 0.336426i | −0.762208 | − | 0.647332i | \(-0.775885\pi\) |
0.179502 | + | 0.983758i | \(0.442551\pi\) | |||||||
\(920\) | 32.5756 | − | 6.34315i | 1.07399 | − | 0.209128i | ||||
\(921\) | −44.3219 | + | 27.4726i | −1.46046 | + | 0.905253i | ||||
\(922\) | −36.6181 | + | 36.6181i | −1.20595 | + | 1.20595i | ||||
\(923\) | −31.3126 | + | 8.39019i | −1.03067 | + | 0.276166i | ||||
\(924\) | 9.62114 | + | 2.70046i | 0.316512 | + | 0.0888385i | ||||
\(925\) | −7.30436 | − | 59.1680i | −0.240166 | − | 1.94543i | ||||
\(926\) | −25.6123 | − | 44.3618i | −0.841672 | − | 1.45782i | ||||
\(927\) | −5.79296 | − | 17.2285i | −0.190266 | − | 0.565859i | ||||
\(928\) | 9.82428 | + | 36.6647i | 0.322498 | + | 1.20358i | ||||
\(929\) | 5.14124 | − | 8.90490i | 0.168679 | − | 0.292160i | −0.769277 | − | 0.638916i | \(-0.779383\pi\) |
0.937956 | + | 0.346755i | \(0.112717\pi\) | |||||||
\(930\) | −7.25043 | − | 7.82667i | −0.237751 | − | 0.256647i | ||||
\(931\) | 8.78754 | − | 12.5772i | 0.288000 | − | 0.412202i | ||||
\(932\) | −61.4511 | + | 16.4658i | −2.01290 | + | 0.539354i | ||||
\(933\) | −25.4907 | + | 7.69240i | −0.834527 | + | 0.251838i | ||||
\(934\) | 65.8060 | 2.15324 | ||||||||
\(935\) | −3.32725 | + | 1.62416i | −0.108813 | + | 0.0531157i | ||||
\(936\) | −37.6359 | + | 24.9909i | −1.23017 | + | 0.816853i | ||||
\(937\) | −7.93677 | + | 7.93677i | −0.259283 | + | 0.259283i | −0.824762 | − | 0.565479i | \(-0.808691\pi\) |
0.565479 | + | 0.824762i | \(0.308691\pi\) | |||||||
\(938\) | −32.8701 | + | 51.6539i | −1.07325 | + | 1.68656i | ||||
\(939\) | 24.5927 | − | 0.769598i | 0.802552 | − | 0.0251149i | ||||
\(940\) | −28.8926 | + | 42.8653i | −0.942371 | + | 1.39811i | ||||
\(941\) | −20.8629 | + | 12.0452i | −0.680113 | + | 0.392663i | −0.799897 | − | 0.600137i | \(-0.795113\pi\) |
0.119785 | + | 0.992800i | \(0.461780\pi\) | |||||||
\(942\) | −18.6410 | − | 4.37482i | −0.607358 | − | 0.142539i | ||||
\(943\) | 13.8693 | − | 3.71626i | 0.451646 | − | 0.121018i | ||||
\(944\) | −2.29618 | −0.0747342 | ||||||||
\(945\) | −26.9060 | + | 14.8684i | −0.875251 | + | 0.483669i | ||||
\(946\) | 2.98154 | 0.0969382 | ||||||||
\(947\) | 15.9864 | − | 4.28354i | 0.519488 | − | 0.139196i | 0.0104582 | − | 0.999945i | \(-0.496671\pi\) |
0.509030 | + | 0.860749i | \(0.330004\pi\) | |||||||
\(948\) | −52.9366 | − | 12.4236i | −1.71930 | − | 0.403499i | ||||
\(949\) | 49.1914 | − | 28.4006i | 1.59682 | − | 0.921924i | ||||
\(950\) | −23.7764 | − | 10.0740i | −0.771407 | − | 0.326845i | ||||
\(951\) | 31.7711 | − | 0.994239i | 1.03025 | − | 0.0322404i | ||||
\(952\) | 12.0588 | + | 23.1358i | 0.390827 | + | 0.749836i | ||||
\(953\) | 16.2763 | − | 16.2763i | 0.527243 | − | 0.527243i | −0.392507 | − | 0.919749i | \(-0.628392\pi\) |
0.919749 | + | 0.392507i | \(0.128392\pi\) | |||||||
\(954\) | 3.74430 | + | 59.7664i | 0.121226 | + | 1.93501i | ||||
\(955\) | 25.9256 | + | 8.91738i | 0.838932 | + | 0.288560i | ||||
\(956\) | −77.8815 | −2.51887 | ||||||||
\(957\) | 10.3022 | − | 3.10893i | 0.333023 | − | 0.100497i | ||||
\(958\) | −44.7413 | + | 11.9884i | −1.44553 | + | 0.387328i | ||||
\(959\) | −4.11816 | − | 18.5310i | −0.132982 | − | 0.598398i | ||||
\(960\) | 45.9056 | + | 1.75451i | 1.48160 | + | 0.0566265i | ||||
\(961\) | −14.8166 | + | 25.6631i | −0.477954 | + | 0.827841i | ||||
\(962\) | −29.9479 | − | 111.767i | −0.965558 | − | 3.60351i | ||||
\(963\) | −9.01104 | + | 10.2156i | −0.290377 | + | 0.329192i | ||||
\(964\) | 3.56857 | + | 6.18095i | 0.114936 | + | 0.199075i | ||||
\(965\) | −0.834698 | + | 11.9933i | −0.0268699 | + | 0.386079i | ||||
\(966\) | 42.4673 | − | 10.8419i | 1.36636 | − | 0.348831i | ||||
\(967\) | −53.4590 | + | 14.3243i | −1.71913 | + | 0.460638i | −0.977632 | − | 0.210321i | \(-0.932549\pi\) |
−0.741494 | + | 0.670960i | \(0.765882\pi\) | |||||||
\(968\) | 27.4653 | − | 27.4653i | 0.882768 | − | 0.882768i | ||||
\(969\) | −8.70253 | + | 5.39420i | −0.279565 | + | 0.173287i | ||||
\(970\) | 5.48406 | + | 28.1637i | 0.176082 | + | 0.904281i | ||||
\(971\) | −24.0149 | + | 13.8650i | −0.770675 | + | 0.444949i | −0.833115 | − | 0.553099i | \(-0.813445\pi\) |
0.0624403 | + | 0.998049i | \(0.480112\pi\) | |||||||
\(972\) | −44.7712 | − | 32.5735i | −1.43604 | − | 1.04480i | ||||
\(973\) | −5.73076 | + | 2.98697i | −0.183720 | + | 0.0957577i | ||||
\(974\) | 10.8050 | − | 6.23824i | 0.346213 | − | 0.199886i | ||||
\(975\) | 32.6275 | − | 14.4109i | 1.04492 | − | 0.461517i | ||||
\(976\) | −2.43149 | + | 1.40382i | −0.0778301 | + | 0.0449352i | ||||
\(977\) | 0.580889 | − | 2.16791i | 0.0185843 | − | 0.0693575i | −0.956011 | − | 0.293331i | \(-0.905236\pi\) |
0.974595 | + | 0.223973i | \(0.0719029\pi\) | |||||||
\(978\) | −10.2451 | − | 2.40440i | −0.327602 | − | 0.0768842i | ||||
\(979\) | −3.48146 | − | 6.03006i | −0.111268 | − | 0.192722i | ||||
\(980\) | −22.5437 | + | 50.8184i | −0.720132 | + | 1.62333i | ||||
\(981\) | 22.2679 | + | 33.5351i | 0.710959 | + | 1.07069i | ||||
\(982\) | 4.35210 | − | 16.2423i | 0.138881 | − | 0.518312i | ||||
\(983\) | −6.02210 | − | 6.02210i | −0.192075 | − | 0.192075i | 0.604517 | − | 0.796592i | \(-0.293366\pi\) |
−0.796592 | + | 0.604517i | \(0.793366\pi\) | |||||||
\(984\) | −22.3907 | + | 0.700691i | −0.713791 | + | 0.0223372i | ||||
\(985\) | −12.8836 | + | 19.1142i | −0.410504 | + | 0.609029i | ||||
\(986\) | 55.6903 | + | 32.1528i | 1.77354 | + | 1.02395i | ||||
\(987\) | −15.2184 | + | 25.6528i | −0.484407 | + | 0.816537i | ||||
\(988\) | −30.9710 | − | 8.29864i | −0.985317 | − | 0.264015i | ||||
\(989\) | 7.24532 | − | 4.18309i | 0.230388 | − | 0.133014i | ||||
\(990\) | 0.0671309 | − | 9.70395i | 0.00213356 | − | 0.308412i | ||||
\(991\) | −16.4534 | + | 28.4981i | −0.522659 | + | 0.905273i | 0.476993 | + | 0.878907i | \(0.341727\pi\) |
−0.999652 | + | 0.0263655i | \(0.991607\pi\) | |||||||
\(992\) | 1.13501 | + | 4.23591i | 0.0360366 | + | 0.134490i | ||||
\(993\) | −16.8414 | + | 17.9295i | −0.534445 | + | 0.568975i | ||||
\(994\) | −46.8035 | − | 14.7308i | −1.48452 | − | 0.467234i | ||||
\(995\) | −33.3570 | − | 11.4735i | −1.05749 | − | 0.363734i | ||||
\(996\) | −2.48030 | − | 79.2587i | −0.0785913 | − | 2.51141i | ||||
\(997\) | −20.8770 | + | 20.8770i | −0.661182 | + | 0.661182i | −0.955659 | − | 0.294477i | \(-0.904855\pi\) |
0.294477 | + | 0.955659i | \(0.404855\pi\) | |||||||
\(998\) | −23.5326 | − | 87.8250i | −0.744912 | − | 2.78005i | ||||
\(999\) | 50.5163 | − | 35.8699i | 1.59826 | − | 1.13487i |
(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 | 315.2.cg.e.157.5 | yes | 160 | |
3.2 | odd | 2 | 945.2.cj.e.577.36 | 160 | |||
5.3 | odd | 4 | inner | 315.2.cg.e.283.36 | yes | 160 | |
7.5 | odd | 6 | 315.2.bs.e.292.36 | yes | 160 | ||
9.2 | odd | 6 | 945.2.bv.e.262.5 | 160 | |||
9.7 | even | 3 | 315.2.bs.e.52.36 | ✓ | 160 | ||
15.8 | even | 4 | 945.2.cj.e.388.5 | 160 | |||
21.5 | even | 6 | 945.2.bv.e.712.5 | 160 | |||
35.33 | even | 12 | 315.2.bs.e.103.36 | yes | 160 | ||
45.38 | even | 12 | 945.2.bv.e.73.5 | 160 | |||
45.43 | odd | 12 | 315.2.bs.e.178.36 | yes | 160 | ||
63.47 | even | 6 | 945.2.cj.e.397.5 | 160 | |||
63.61 | odd | 6 | inner | 315.2.cg.e.187.36 | yes | 160 | |
105.68 | odd | 12 | 945.2.bv.e.523.5 | 160 | |||
315.173 | odd | 12 | 945.2.cj.e.208.36 | 160 | |||
315.313 | even | 12 | inner | 315.2.cg.e.313.5 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.bs.e.52.36 | ✓ | 160 | 9.7 | even | 3 | ||
315.2.bs.e.103.36 | yes | 160 | 35.33 | even | 12 | ||
315.2.bs.e.178.36 | yes | 160 | 45.43 | odd | 12 | ||
315.2.bs.e.292.36 | yes | 160 | 7.5 | odd | 6 | ||
315.2.cg.e.157.5 | yes | 160 | 1.1 | even | 1 | trivial | |
315.2.cg.e.187.36 | yes | 160 | 63.61 | odd | 6 | inner | |
315.2.cg.e.283.36 | yes | 160 | 5.3 | odd | 4 | inner | |
315.2.cg.e.313.5 | yes | 160 | 315.313 | even | 12 | inner | |
945.2.bv.e.73.5 | 160 | 45.38 | even | 12 | |||
945.2.bv.e.262.5 | 160 | 9.2 | odd | 6 | |||
945.2.bv.e.523.5 | 160 | 105.68 | odd | 12 | |||
945.2.bv.e.712.5 | 160 | 21.5 | even | 6 | |||
945.2.cj.e.208.36 | 160 | 315.173 | odd | 12 | |||
945.2.cj.e.388.5 | 160 | 15.8 | even | 4 | |||
945.2.cj.e.397.5 | 160 | 63.47 | even | 6 | |||
945.2.cj.e.577.36 | 160 | 3.2 | odd | 2 |