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: | \(4\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 157.1 | ||
Root | \(0.866025 + 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 315.157 |
Dual form | 315.2.cg.d.313.1 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.86603 | − | 0.500000i | 1.31948 | − | 0.353553i | 0.470696 | − | 0.882295i | \(-0.344003\pi\) |
0.848783 | + | 0.528742i | \(0.177336\pi\) | |||||||
\(3\) | 1.50000 | + | 0.866025i | 0.866025 | + | 0.500000i | ||||
\(4\) | 1.50000 | − | 0.866025i | 0.750000 | − | 0.433013i | ||||
\(5\) | −1.00000 | + | 2.00000i | −0.447214 | + | 0.894427i | ||||
\(6\) | 3.23205 | + | 0.866025i | 1.31948 | + | 0.353553i | ||||
\(7\) | 0.500000 | − | 2.59808i | 0.188982 | − | 0.981981i | ||||
\(8\) | −0.366025 | + | 0.366025i | −0.129410 | + | 0.129410i | ||||
\(9\) | 1.50000 | + | 2.59808i | 0.500000 | + | 0.866025i | ||||
\(10\) | −0.866025 | + | 4.23205i | −0.273861 | + | 1.33829i | ||||
\(11\) | −2.00000 | −0.603023 | −0.301511 | − | 0.953463i | \(-0.597491\pi\) | ||||
−0.301511 | + | 0.953463i | \(0.597491\pi\) | |||||||
\(12\) | 3.00000 | 0.866025 | ||||||||
\(13\) | 5.09808 | − | 1.36603i | 1.41395 | − | 0.378867i | 0.530618 | − | 0.847611i | \(-0.321960\pi\) |
0.883334 | + | 0.468744i | \(0.155293\pi\) | |||||||
\(14\) | −0.366025 | − | 5.09808i | −0.0978244 | − | 1.36252i | ||||
\(15\) | −3.23205 | + | 2.13397i | −0.834512 | + | 0.550990i | ||||
\(16\) | −2.23205 | + | 3.86603i | −0.558013 | + | 0.966506i | ||||
\(17\) | −2.00000 | − | 7.46410i | −0.485071 | − | 1.81031i | −0.579740 | − | 0.814802i | \(-0.696846\pi\) |
0.0946685 | − | 0.995509i | \(-0.469821\pi\) | |||||||
\(18\) | 4.09808 | + | 4.09808i | 0.965926 | + | 0.965926i | ||||
\(19\) | −1.36603 | − | 2.36603i | −0.313388 | − | 0.542803i | 0.665706 | − | 0.746214i | \(-0.268131\pi\) |
−0.979093 | + | 0.203411i | \(0.934797\pi\) | |||||||
\(20\) | 0.232051 | + | 3.86603i | 0.0518881 | + | 0.864470i | ||||
\(21\) | 3.00000 | − | 3.46410i | 0.654654 | − | 0.755929i | ||||
\(22\) | −3.73205 | + | 1.00000i | −0.795676 | + | 0.213201i | ||||
\(23\) | −2.46410 | + | 2.46410i | −0.513801 | + | 0.513801i | −0.915689 | − | 0.401888i | \(-0.868354\pi\) |
0.401888 | + | 0.915689i | \(0.368354\pi\) | |||||||
\(24\) | −0.866025 | + | 0.232051i | −0.176777 | + | 0.0473672i | ||||
\(25\) | −3.00000 | − | 4.00000i | −0.600000 | − | 0.800000i | ||||
\(26\) | 8.83013 | − | 5.09808i | 1.73173 | − | 0.999815i | ||||
\(27\) | 5.19615i | 1.00000i | ||||||||
\(28\) | −1.50000 | − | 4.33013i | −0.283473 | − | 0.818317i | ||||
\(29\) | −3.40192 | + | 1.96410i | −0.631721 | + | 0.364725i | −0.781418 | − | 0.624007i | \(-0.785503\pi\) |
0.149697 | + | 0.988732i | \(0.452170\pi\) | |||||||
\(30\) | −4.96410 | + | 5.59808i | −0.906317 | + | 1.02206i | ||||
\(31\) | −1.26795 | + | 0.732051i | −0.227730 | + | 0.131480i | −0.609525 | − | 0.792767i | \(-0.708640\pi\) |
0.381794 | + | 0.924247i | \(0.375306\pi\) | |||||||
\(32\) | −1.96410 | + | 7.33013i | −0.347207 | + | 1.29580i | ||||
\(33\) | −3.00000 | − | 1.73205i | −0.522233 | − | 0.301511i | ||||
\(34\) | −7.46410 | − | 12.9282i | −1.28008 | − | 2.21717i | ||||
\(35\) | 4.69615 | + | 3.59808i | 0.793795 | + | 0.608186i | ||||
\(36\) | 4.50000 | + | 2.59808i | 0.750000 | + | 0.433013i | ||||
\(37\) | 0.169873 | − | 0.633975i | 0.0279269 | − | 0.104225i | −0.950556 | − | 0.310554i | \(-0.899485\pi\) |
0.978483 | + | 0.206330i | \(0.0661519\pi\) | |||||||
\(38\) | −3.73205 | − | 3.73205i | −0.605419 | − | 0.605419i | ||||
\(39\) | 8.83013 | + | 2.36603i | 1.41395 | + | 0.378867i | ||||
\(40\) | −0.366025 | − | 1.09808i | −0.0578737 | − | 0.173621i | ||||
\(41\) | 2.59808 | + | 1.50000i | 0.405751 | + | 0.234261i | 0.688963 | − | 0.724797i | \(-0.258066\pi\) |
−0.283211 | + | 0.959058i | \(0.591400\pi\) | |||||||
\(42\) | 3.86603 | − | 7.96410i | 0.596541 | − | 1.22889i | ||||
\(43\) | 3.23205 | + | 0.866025i | 0.492883 | + | 0.132068i | 0.496695 | − | 0.867925i | \(-0.334547\pi\) |
−0.00381197 | + | 0.999993i | \(0.501213\pi\) | |||||||
\(44\) | −3.00000 | + | 1.73205i | −0.452267 | + | 0.261116i | ||||
\(45\) | −6.69615 | + | 0.401924i | −0.998203 | + | 0.0599153i | ||||
\(46\) | −3.36603 | + | 5.83013i | −0.496293 | + | 0.859605i | ||||
\(47\) | −1.96410 | − | 7.33013i | −0.286494 | − | 1.06921i | −0.947741 | − | 0.319041i | \(-0.896639\pi\) |
0.661247 | − | 0.750168i | \(-0.270027\pi\) | |||||||
\(48\) | −6.69615 | + | 3.86603i | −0.966506 | + | 0.558013i | ||||
\(49\) | −6.50000 | − | 2.59808i | −0.928571 | − | 0.371154i | ||||
\(50\) | −7.59808 | − | 5.96410i | −1.07453 | − | 0.843451i | ||||
\(51\) | 3.46410 | − | 12.9282i | 0.485071 | − | 1.81031i | ||||
\(52\) | 6.46410 | − | 6.46410i | 0.896410 | − | 0.896410i | ||||
\(53\) | −1.00000 | − | 3.73205i | −0.137361 | − | 0.512637i | −0.999977 | − | 0.00677809i | \(-0.997842\pi\) |
0.862616 | − | 0.505859i | \(-0.168824\pi\) | |||||||
\(54\) | 2.59808 | + | 9.69615i | 0.353553 | + | 1.31948i | ||||
\(55\) | 2.00000 | − | 4.00000i | 0.269680 | − | 0.539360i | ||||
\(56\) | 0.767949 | + | 1.13397i | 0.102622 | + | 0.151534i | ||||
\(57\) | − | 4.73205i | − | 0.626775i | ||||||
\(58\) | −5.36603 | + | 5.36603i | −0.704594 | + | 0.704594i | ||||
\(59\) | 7.56218 | + | 13.0981i | 0.984512 | + | 1.70522i | 0.644086 | + | 0.764953i | \(0.277238\pi\) |
0.340425 | + | 0.940272i | \(0.389429\pi\) | |||||||
\(60\) | −3.00000 | + | 6.00000i | −0.387298 | + | 0.774597i | ||||
\(61\) | 2.53590 | + | 1.46410i | 0.324689 | + | 0.187459i | 0.653480 | − | 0.756943i | \(-0.273308\pi\) |
−0.328792 | + | 0.944402i | \(0.606641\pi\) | |||||||
\(62\) | −2.00000 | + | 2.00000i | −0.254000 | + | 0.254000i | ||||
\(63\) | 7.50000 | − | 2.59808i | 0.944911 | − | 0.327327i | ||||
\(64\) | 5.73205i | 0.716506i | ||||||||
\(65\) | −2.36603 | + | 11.5622i | −0.293469 | + | 1.43411i | ||||
\(66\) | −6.46410 | − | 1.73205i | −0.795676 | − | 0.213201i | ||||
\(67\) | −1.63397 | + | 6.09808i | −0.199622 | + | 0.744999i | 0.791400 | + | 0.611299i | \(0.209353\pi\) |
−0.991022 | + | 0.133700i | \(0.957314\pi\) | |||||||
\(68\) | −9.46410 | − | 9.46410i | −1.14769 | − | 1.14769i | ||||
\(69\) | −5.83013 | + | 1.56218i | −0.701865 | + | 0.188064i | ||||
\(70\) | 10.5622 | + | 4.36603i | 1.26242 | + | 0.521840i | ||||
\(71\) | 4.73205 | 0.561591 | 0.280796 | − | 0.959768i | \(-0.409402\pi\) | ||||
0.280796 | + | 0.959768i | \(0.409402\pi\) | |||||||
\(72\) | −1.50000 | − | 0.401924i | −0.176777 | − | 0.0473672i | ||||
\(73\) | 3.46410 | − | 0.928203i | 0.405442 | − | 0.108638i | −0.0503336 | − | 0.998732i | \(-0.516028\pi\) |
0.455776 | + | 0.890094i | \(0.349362\pi\) | |||||||
\(74\) | − | 1.26795i | − | 0.147396i | ||||||
\(75\) | −1.03590 | − | 8.59808i | −0.119615 | − | 0.992820i | ||||
\(76\) | −4.09808 | − | 2.36603i | −0.470082 | − | 0.271402i | ||||
\(77\) | −1.00000 | + | 5.19615i | −0.113961 | + | 0.592157i | ||||
\(78\) | 17.6603 | 1.99963 | ||||||||
\(79\) | 3.92820 | + | 2.26795i | 0.441957 | + | 0.255164i | 0.704428 | − | 0.709776i | \(-0.251204\pi\) |
−0.262470 | + | 0.964940i | \(0.584537\pi\) | |||||||
\(80\) | −5.50000 | − | 8.33013i | −0.614919 | − | 0.931337i | ||||
\(81\) | −4.50000 | + | 7.79423i | −0.500000 | + | 0.866025i | ||||
\(82\) | 5.59808 | + | 1.50000i | 0.618204 | + | 0.165647i | ||||
\(83\) | −3.03590 | + | 11.3301i | −0.333233 | + | 1.24364i | 0.572539 | + | 0.819878i | \(0.305959\pi\) |
−0.905772 | + | 0.423765i | \(0.860708\pi\) | |||||||
\(84\) | 1.50000 | − | 7.79423i | 0.163663 | − | 0.850420i | ||||
\(85\) | 16.9282 | + | 3.46410i | 1.83612 | + | 0.375735i | ||||
\(86\) | 6.46410 | 0.697042 | ||||||||
\(87\) | −6.80385 | −0.729449 | ||||||||
\(88\) | 0.732051 | − | 0.732051i | 0.0780369 | − | 0.0780369i | ||||
\(89\) | −7.46410 | − | 12.9282i | −0.791193 | − | 1.37039i | −0.925229 | − | 0.379410i | \(-0.876127\pi\) |
0.134035 | − | 0.990977i | \(-0.457206\pi\) | |||||||
\(90\) | −12.2942 | + | 4.09808i | −1.29593 | + | 0.431975i | ||||
\(91\) | −1.00000 | − | 13.9282i | −0.104828 | − | 1.46007i | ||||
\(92\) | −1.56218 | + | 5.83013i | −0.162868 | + | 0.607833i | ||||
\(93\) | −2.53590 | −0.262960 | ||||||||
\(94\) | −7.33013 | − | 12.6962i | −0.756045 | − | 1.30951i | ||||
\(95\) | 6.09808 | − | 0.366025i | 0.625649 | − | 0.0375534i | ||||
\(96\) | −9.29423 | + | 9.29423i | −0.948588 | + | 0.948588i | ||||
\(97\) | 14.5622 | + | 3.90192i | 1.47857 | + | 0.396180i | 0.905859 | − | 0.423580i | \(-0.139227\pi\) |
0.572707 | + | 0.819760i | \(0.305893\pi\) | |||||||
\(98\) | −13.4282 | − | 1.59808i | −1.35645 | − | 0.161430i | ||||
\(99\) | −3.00000 | − | 5.19615i | −0.301511 | − | 0.522233i | ||||
\(100\) | −7.96410 | − | 3.40192i | −0.796410 | − | 0.340192i | ||||
\(101\) | 3.73205i | 0.371353i | 0.982611 | + | 0.185676i | \(0.0594476\pi\) | ||||
−0.982611 | + | 0.185676i | \(0.940552\pi\) | |||||||
\(102\) | − | 25.8564i | − | 2.56017i | ||||||
\(103\) | −6.36603 | − | 6.36603i | −0.627263 | − | 0.627263i | 0.320115 | − | 0.947379i | \(-0.396278\pi\) |
−0.947379 | + | 0.320115i | \(0.896278\pi\) | |||||||
\(104\) | −1.36603 | + | 2.36603i | −0.133950 | + | 0.232008i | ||||
\(105\) | 3.92820 | + | 9.46410i | 0.383353 | + | 0.923602i | ||||
\(106\) | −3.73205 | − | 6.46410i | −0.362489 | − | 0.627849i | ||||
\(107\) | −3.06218 | + | 11.4282i | −0.296032 | + | 1.10481i | 0.644362 | + | 0.764720i | \(0.277123\pi\) |
−0.940394 | + | 0.340086i | \(0.889544\pi\) | |||||||
\(108\) | 4.50000 | + | 7.79423i | 0.433013 | + | 0.750000i | ||||
\(109\) | −5.42820 | − | 3.13397i | −0.519928 | − | 0.300180i | 0.216977 | − | 0.976177i | \(-0.430380\pi\) |
−0.736905 | + | 0.675996i | \(0.763714\pi\) | |||||||
\(110\) | 1.73205 | − | 8.46410i | 0.165145 | − | 0.807020i | ||||
\(111\) | 0.803848 | − | 0.803848i | 0.0762978 | − | 0.0762978i | ||||
\(112\) | 8.92820 | + | 7.73205i | 0.843636 | + | 0.730610i | ||||
\(113\) | 2.53590 | + | 9.46410i | 0.238557 | + | 0.890308i | 0.976513 | + | 0.215459i | \(0.0691246\pi\) |
−0.737956 | + | 0.674849i | \(0.764209\pi\) | |||||||
\(114\) | −2.36603 | − | 8.83013i | −0.221599 | − | 0.827017i | ||||
\(115\) | −2.46410 | − | 7.39230i | −0.229779 | − | 0.689336i | ||||
\(116\) | −3.40192 | + | 5.89230i | −0.315861 | + | 0.547087i | ||||
\(117\) | 11.1962 | + | 11.1962i | 1.03508 | + | 1.03508i | ||||
\(118\) | 20.6603 | + | 20.6603i | 1.90193 | + | 1.90193i | ||||
\(119\) | −20.3923 | + | 1.46410i | −1.86936 | + | 0.134214i | ||||
\(120\) | 0.401924 | − | 1.96410i | 0.0366905 | − | 0.179297i | ||||
\(121\) | −7.00000 | −0.636364 | ||||||||
\(122\) | 5.46410 | + | 1.46410i | 0.494697 | + | 0.132554i | ||||
\(123\) | 2.59808 | + | 4.50000i | 0.234261 | + | 0.405751i | ||||
\(124\) | −1.26795 | + | 2.19615i | −0.113865 | + | 0.197220i | ||||
\(125\) | 11.0000 | − | 2.00000i | 0.983870 | − | 0.178885i | ||||
\(126\) | 12.6962 | − | 8.59808i | 1.13106 | − | 0.765978i | ||||
\(127\) | 9.63397 | + | 9.63397i | 0.854877 | + | 0.854877i | 0.990729 | − | 0.135852i | \(-0.0433772\pi\) |
−0.135852 | + | 0.990729i | \(0.543377\pi\) | |||||||
\(128\) | −1.06218 | − | 3.96410i | −0.0938841 | − | 0.350380i | ||||
\(129\) | 4.09808 | + | 4.09808i | 0.360815 | + | 0.360815i | ||||
\(130\) | 1.36603 | + | 22.7583i | 0.119808 | + | 1.99604i | ||||
\(131\) | 5.07180i | 0.443125i | 0.975146 | + | 0.221562i | \(0.0711157\pi\) | ||||
−0.975146 | + | 0.221562i | \(0.928884\pi\) | |||||||
\(132\) | −6.00000 | −0.522233 | ||||||||
\(133\) | −6.83013 | + | 2.36603i | −0.592247 | + | 0.205160i | ||||
\(134\) | 12.1962i | 1.05359i | ||||||||
\(135\) | −10.3923 | − | 5.19615i | −0.894427 | − | 0.447214i | ||||
\(136\) | 3.46410 | + | 2.00000i | 0.297044 | + | 0.171499i | ||||
\(137\) | 1.00000 | + | 1.00000i | 0.0854358 | + | 0.0854358i | 0.748533 | − | 0.663097i | \(-0.230758\pi\) |
−0.663097 | + | 0.748533i | \(0.730758\pi\) | |||||||
\(138\) | −10.0981 | + | 5.83013i | −0.859605 | + | 0.496293i | ||||
\(139\) | 6.29423 | − | 10.9019i | 0.533870 | − | 0.924689i | −0.465348 | − | 0.885128i | \(-0.654071\pi\) |
0.999217 | − | 0.0395611i | \(-0.0125960\pi\) | |||||||
\(140\) | 10.1603 | + | 1.33013i | 0.858698 | + | 0.112416i | ||||
\(141\) | 3.40192 | − | 12.6962i | 0.286494 | − | 1.06921i | ||||
\(142\) | 8.83013 | − | 2.36603i | 0.741008 | − | 0.198552i | ||||
\(143\) | −10.1962 | + | 2.73205i | −0.852645 | + | 0.228466i | ||||
\(144\) | −13.3923 | −1.11603 | ||||||||
\(145\) | −0.526279 | − | 8.76795i | −0.0437051 | − | 0.728139i | ||||
\(146\) | 6.00000 | − | 3.46410i | 0.496564 | − | 0.286691i | ||||
\(147\) | −7.50000 | − | 9.52628i | −0.618590 | − | 0.785714i | ||||
\(148\) | −0.294229 | − | 1.09808i | −0.0241854 | − | 0.0902613i | ||||
\(149\) | − | 15.4641i | − | 1.26687i | −0.773796 | − | 0.633434i | \(-0.781645\pi\) | ||
0.773796 | − | 0.633434i | \(-0.218355\pi\) | |||||||
\(150\) | −6.23205 | − | 15.5263i | −0.508845 | − | 1.26772i | ||||
\(151\) | −17.6603 | −1.43717 | −0.718586 | − | 0.695439i | \(-0.755210\pi\) | ||||
−0.718586 | + | 0.695439i | \(0.755210\pi\) | |||||||
\(152\) | 1.36603 | + | 0.366025i | 0.110799 | + | 0.0296886i | ||||
\(153\) | 16.3923 | − | 16.3923i | 1.32524 | − | 1.32524i | ||||
\(154\) | 0.732051 | + | 10.1962i | 0.0589903 | + | 0.821629i | ||||
\(155\) | −0.196152 | − | 3.26795i | −0.0157553 | − | 0.262488i | ||||
\(156\) | 15.2942 | − | 4.09808i | 1.22452 | − | 0.328109i | ||||
\(157\) | −9.83013 | − | 2.63397i | −0.784530 | − | 0.210214i | −0.155749 | − | 0.987797i | \(-0.549779\pi\) |
−0.628781 | + | 0.777583i | \(0.716446\pi\) | |||||||
\(158\) | 8.46410 | + | 2.26795i | 0.673368 | + | 0.180428i | ||||
\(159\) | 1.73205 | − | 6.46410i | 0.137361 | − | 0.512637i | ||||
\(160\) | −12.6962 | − | 11.2583i | −1.00372 | − | 0.890049i | ||||
\(161\) | 5.16987 | + | 7.63397i | 0.407443 | + | 0.601641i | ||||
\(162\) | −4.50000 | + | 16.7942i | −0.353553 | + | 1.31948i | ||||
\(163\) | 9.29423 | + | 2.49038i | 0.727980 | + | 0.195062i | 0.603730 | − | 0.797189i | \(-0.293681\pi\) |
0.124251 | + | 0.992251i | \(0.460347\pi\) | |||||||
\(164\) | 5.19615 | 0.405751 | ||||||||
\(165\) | 6.46410 | − | 4.26795i | 0.503230 | − | 0.332259i | ||||
\(166\) | 22.6603i | 1.75878i | ||||||||
\(167\) | −0.901924 | − | 3.36603i | −0.0697930 | − | 0.260471i | 0.922209 | − | 0.386691i | \(-0.126382\pi\) |
−0.992002 | + | 0.126220i | \(0.959715\pi\) | |||||||
\(168\) | 0.169873 | + | 2.36603i | 0.0131060 | + | 0.182543i | ||||
\(169\) | 12.8660 | − | 7.42820i | 0.989694 | − | 0.571400i | ||||
\(170\) | 33.3205 | − | 2.00000i | 2.55557 | − | 0.153393i | ||||
\(171\) | 4.09808 | − | 7.09808i | 0.313388 | − | 0.542803i | ||||
\(172\) | 5.59808 | − | 1.50000i | 0.426849 | − | 0.114374i | ||||
\(173\) | 21.8564 | − | 5.85641i | 1.66171 | − | 0.445254i | 0.698854 | − | 0.715264i | \(-0.253694\pi\) |
0.962858 | + | 0.270010i | \(0.0870269\pi\) | |||||||
\(174\) | −12.6962 | + | 3.40192i | −0.962493 | + | 0.257899i | ||||
\(175\) | −11.8923 | + | 5.79423i | −0.898974 | + | 0.438003i | ||||
\(176\) | 4.46410 | − | 7.73205i | 0.336494 | − | 0.582825i | ||||
\(177\) | 26.1962i | 1.96902i | ||||||||
\(178\) | −20.3923 | − | 20.3923i | −1.52847 | − | 1.52847i | ||||
\(179\) | 1.09808 | + | 0.633975i | 0.0820741 | + | 0.0473855i | 0.540475 | − | 0.841360i | \(-0.318244\pi\) |
−0.458401 | + | 0.888745i | \(0.651578\pi\) | |||||||
\(180\) | −9.69615 | + | 6.40192i | −0.722709 | + | 0.477171i | ||||
\(181\) | − | 20.1244i | − | 1.49583i | −0.663794 | − | 0.747916i | \(-0.731055\pi\) | ||
0.663794 | − | 0.747916i | \(-0.268945\pi\) | |||||||
\(182\) | −8.83013 | − | 25.4904i | −0.654533 | − | 1.88947i | ||||
\(183\) | 2.53590 | + | 4.39230i | 0.187459 | + | 0.324689i | ||||
\(184\) | − | 1.80385i | − | 0.132981i | ||||||
\(185\) | 1.09808 | + | 0.973721i | 0.0807322 | + | 0.0715894i | ||||
\(186\) | −4.73205 | + | 1.26795i | −0.346971 | + | 0.0929705i | ||||
\(187\) | 4.00000 | + | 14.9282i | 0.292509 | + | 1.09166i | ||||
\(188\) | −9.29423 | − | 9.29423i | −0.677851 | − | 0.677851i | ||||
\(189\) | 13.5000 | + | 2.59808i | 0.981981 | + | 0.188982i | ||||
\(190\) | 11.1962 | − | 3.73205i | 0.812254 | − | 0.270751i | ||||
\(191\) | 4.90192 | − | 8.49038i | 0.354691 | − | 0.614342i | −0.632374 | − | 0.774663i | \(-0.717919\pi\) |
0.987065 | + | 0.160321i | \(0.0512528\pi\) | |||||||
\(192\) | −4.96410 | + | 8.59808i | −0.358253 | + | 0.620513i | ||||
\(193\) | −0.267949 | − | 0.0717968i | −0.0192874 | − | 0.00516804i | 0.249162 | − | 0.968462i | \(-0.419845\pi\) |
−0.268450 | + | 0.963294i | \(0.586511\pi\) | |||||||
\(194\) | 29.1244 | 2.09101 | ||||||||
\(195\) | −13.5622 | + | 15.2942i | −0.971208 | + | 1.09524i | ||||
\(196\) | −12.0000 | + | 1.73205i | −0.857143 | + | 0.123718i | ||||
\(197\) | 4.00000 | + | 4.00000i | 0.284988 | + | 0.284988i | 0.835095 | − | 0.550106i | \(-0.185413\pi\) |
−0.550106 | + | 0.835095i | \(0.685413\pi\) | |||||||
\(198\) | −8.19615 | − | 8.19615i | −0.582475 | − | 0.582475i | ||||
\(199\) | 2.19615 | − | 3.80385i | 0.155681 | − | 0.269648i | −0.777626 | − | 0.628727i | \(-0.783576\pi\) |
0.933307 | + | 0.359080i | \(0.116909\pi\) | |||||||
\(200\) | 2.56218 | + | 0.366025i | 0.181173 | + | 0.0258819i | ||||
\(201\) | −7.73205 | + | 7.73205i | −0.545377 | + | 0.545377i | ||||
\(202\) | 1.86603 | + | 6.96410i | 0.131293 | + | 0.489992i | ||||
\(203\) | 3.40192 | + | 9.82051i | 0.238768 | + | 0.689265i | ||||
\(204\) | −6.00000 | − | 22.3923i | −0.420084 | − | 1.56777i | ||||
\(205\) | −5.59808 | + | 3.69615i | −0.390987 | + | 0.258150i | ||||
\(206\) | −15.0622 | − | 8.69615i | −1.04943 | − | 0.605890i | ||||
\(207\) | −10.0981 | − | 2.70577i | −0.701865 | − | 0.188064i | ||||
\(208\) | −6.09808 | + | 22.7583i | −0.422826 | + | 1.57801i | ||||
\(209\) | 2.73205 | + | 4.73205i | 0.188980 | + | 0.327323i | ||||
\(210\) | 12.0622 | + | 15.6962i | 0.832369 | + | 1.08314i | ||||
\(211\) | −6.53590 | + | 11.3205i | −0.449950 | + | 0.779336i | −0.998382 | − | 0.0568590i | \(-0.981891\pi\) |
0.548432 | + | 0.836195i | \(0.315225\pi\) | |||||||
\(212\) | −4.73205 | − | 4.73205i | −0.324999 | − | 0.324999i | ||||
\(213\) | 7.09808 | + | 4.09808i | 0.486352 | + | 0.280796i | ||||
\(214\) | 22.8564i | 1.56243i | ||||||||
\(215\) | −4.96410 | + | 5.59808i | −0.338549 | + | 0.381786i | ||||
\(216\) | −1.90192 | − | 1.90192i | −0.129410 | − | 0.129410i | ||||
\(217\) | 1.26795 | + | 3.66025i | 0.0860740 | + | 0.248474i | ||||
\(218\) | −11.6962 | − | 3.13397i | −0.792163 | − | 0.212260i | ||||
\(219\) | 6.00000 | + | 1.60770i | 0.405442 | + | 0.108638i | ||||
\(220\) | −0.464102 | − | 7.73205i | −0.0312897 | − | 0.521295i | ||||
\(221\) | −20.3923 | − | 35.3205i | −1.37173 | − | 2.37591i | ||||
\(222\) | 1.09808 | − | 1.90192i | 0.0736980 | − | 0.127649i | ||||
\(223\) | 1.96410 | − | 7.33013i | 0.131526 | − | 0.490862i | −0.868462 | − | 0.495756i | \(-0.834891\pi\) |
0.999988 | + | 0.00489404i | \(0.00155783\pi\) | |||||||
\(224\) | 18.0622 | + | 8.76795i | 1.20683 | + | 0.585833i | ||||
\(225\) | 5.89230 | − | 13.7942i | 0.392820 | − | 0.919615i | ||||
\(226\) | 9.46410 | + | 16.3923i | 0.629543 | + | 1.09040i | ||||
\(227\) | −13.5885 | + | 13.5885i | −0.901898 | + | 0.901898i | −0.995600 | − | 0.0937026i | \(-0.970130\pi\) |
0.0937026 | + | 0.995600i | \(0.470130\pi\) | |||||||
\(228\) | −4.09808 | − | 7.09808i | −0.271402 | − | 0.470082i | ||||
\(229\) | 5.33975 | 0.352860 | 0.176430 | − | 0.984313i | \(-0.443545\pi\) | ||||
0.176430 | + | 0.984313i | \(0.443545\pi\) | |||||||
\(230\) | −8.29423 | − | 12.5622i | −0.546905 | − | 0.828325i | ||||
\(231\) | −6.00000 | + | 6.92820i | −0.394771 | + | 0.455842i | ||||
\(232\) | 0.526279 | − | 1.96410i | 0.0345519 | − | 0.128950i | ||||
\(233\) | 12.4641 | + | 3.33975i | 0.816550 | + | 0.218794i | 0.642838 | − | 0.766002i | \(-0.277757\pi\) |
0.173713 | + | 0.984796i | \(0.444424\pi\) | |||||||
\(234\) | 26.4904 | + | 15.2942i | 1.73173 | + | 0.999815i | ||||
\(235\) | 16.6244 | + | 3.40192i | 1.08445 | + | 0.221917i | ||||
\(236\) | 22.6865 | + | 13.0981i | 1.47677 | + | 0.852612i | ||||
\(237\) | 3.92820 | + | 6.80385i | 0.255164 | + | 0.441957i | ||||
\(238\) | −37.3205 | + | 12.9282i | −2.41913 | + | 0.838011i | ||||
\(239\) | −1.73205 | − | 1.00000i | −0.112037 | − | 0.0646846i | 0.442934 | − | 0.896554i | \(-0.353937\pi\) |
−0.554971 | + | 0.831869i | \(0.687271\pi\) | |||||||
\(240\) | −1.03590 | − | 17.2583i | −0.0668670 | − | 1.11402i | ||||
\(241\) | 22.4641i | 1.44704i | 0.690303 | + | 0.723520i | \(0.257477\pi\) | ||||
−0.690303 | + | 0.723520i | \(0.742523\pi\) | |||||||
\(242\) | −13.0622 | + | 3.50000i | −0.839669 | + | 0.224989i | ||||
\(243\) | −13.5000 | + | 7.79423i | −0.866025 | + | 0.500000i | ||||
\(244\) | 5.07180 | 0.324689 | ||||||||
\(245\) | 11.6962 | − | 10.4019i | 0.747240 | − | 0.664555i | ||||
\(246\) | 7.09808 | + | 7.09808i | 0.452557 | + | 0.452557i | ||||
\(247\) | −10.1962 | − | 10.1962i | −0.648766 | − | 0.648766i | ||||
\(248\) | 0.196152 | − | 0.732051i | 0.0124557 | − | 0.0464853i | ||||
\(249\) | −14.3660 | + | 14.3660i | −0.910410 | + | 0.910410i | ||||
\(250\) | 19.5263 | − | 9.23205i | 1.23495 | − | 0.583886i | ||||
\(251\) | 3.66025i | 0.231033i | 0.993306 | + | 0.115517i | \(0.0368523\pi\) | ||||
−0.993306 | + | 0.115517i | \(0.963148\pi\) | |||||||
\(252\) | 9.00000 | − | 10.3923i | 0.566947 | − | 0.654654i | ||||
\(253\) | 4.92820 | − | 4.92820i | 0.309833 | − | 0.309833i | ||||
\(254\) | 22.7942 | + | 13.1603i | 1.43024 | + | 0.825748i | ||||
\(255\) | 22.3923 | + | 19.8564i | 1.40226 | + | 1.24346i | ||||
\(256\) | −9.69615 | − | 16.7942i | −0.606010 | − | 1.04964i | ||||
\(257\) | −0.196152 | + | 0.196152i | −0.0122357 | + | 0.0122357i | −0.713198 | − | 0.700962i | \(-0.752754\pi\) |
0.700962 | + | 0.713198i | \(0.252754\pi\) | |||||||
\(258\) | 9.69615 | + | 5.59808i | 0.603656 | + | 0.348521i | ||||
\(259\) | −1.56218 | − | 0.758330i | −0.0970690 | − | 0.0471203i | ||||
\(260\) | 6.46410 | + | 19.3923i | 0.400887 | + | 1.20266i | ||||
\(261\) | −10.2058 | − | 5.89230i | −0.631721 | − | 0.364725i | ||||
\(262\) | 2.53590 | + | 9.46410i | 0.156668 | + | 0.584694i | ||||
\(263\) | 3.90192 | − | 3.90192i | 0.240603 | − | 0.240603i | −0.576497 | − | 0.817100i | \(-0.695581\pi\) |
0.817100 | + | 0.576497i | \(0.195581\pi\) | |||||||
\(264\) | 1.73205 | − | 0.464102i | 0.106600 | − | 0.0285635i | ||||
\(265\) | 8.46410 | + | 1.73205i | 0.519946 | + | 0.106399i | ||||
\(266\) | −11.5622 | + | 7.83013i | −0.708923 | + | 0.480096i | ||||
\(267\) | − | 25.8564i | − | 1.58239i | ||||||
\(268\) | 2.83013 | + | 10.5622i | 0.172878 | + | 0.645188i | ||||
\(269\) | 14.1962 | − | 24.5885i | 0.865555 | − | 1.49918i | −0.000940662 | − | 1.00000i | \(-0.500299\pi\) |
0.866495 | − | 0.499185i | \(-0.166367\pi\) | |||||||
\(270\) | −21.9904 | − | 4.50000i | −1.33829 | − | 0.273861i | ||||
\(271\) | −28.2224 | + | 16.2942i | −1.71439 | + | 0.989804i | −0.785977 | + | 0.618256i | \(0.787840\pi\) |
−0.928414 | + | 0.371548i | \(0.878827\pi\) | |||||||
\(272\) | 33.3205 | + | 8.92820i | 2.02035 | + | 0.541352i | ||||
\(273\) | 10.5622 | − | 21.7583i | 0.639252 | − | 1.31687i | ||||
\(274\) | 2.36603 | + | 1.36603i | 0.142937 | + | 0.0825246i | ||||
\(275\) | 6.00000 | + | 8.00000i | 0.361814 | + | 0.482418i | ||||
\(276\) | −7.39230 | + | 7.39230i | −0.444964 | + | 0.444964i | ||||
\(277\) | −8.19615 | − | 8.19615i | −0.492459 | − | 0.492459i | 0.416621 | − | 0.909080i | \(-0.363214\pi\) |
−0.909080 | + | 0.416621i | \(0.863214\pi\) | |||||||
\(278\) | 6.29423 | − | 23.4904i | 0.377503 | − | 1.40886i | ||||
\(279\) | −3.80385 | − | 2.19615i | −0.227730 | − | 0.131480i | ||||
\(280\) | −3.03590 | + | 0.401924i | −0.181430 | + | 0.0240195i | ||||
\(281\) | −11.1340 | − | 19.2846i | −0.664197 | − | 1.15042i | −0.979502 | − | 0.201433i | \(-0.935440\pi\) |
0.315305 | − | 0.948990i | \(-0.397893\pi\) | |||||||
\(282\) | − | 25.3923i | − | 1.51209i | ||||||
\(283\) | 3.52628 | − | 13.1603i | 0.209616 | − | 0.782296i | −0.778377 | − | 0.627797i | \(-0.783957\pi\) |
0.987993 | − | 0.154499i | \(-0.0493764\pi\) | |||||||
\(284\) | 7.09808 | − | 4.09808i | 0.421193 | − | 0.243176i | ||||
\(285\) | 9.46410 | + | 4.73205i | 0.560605 | + | 0.280302i | ||||
\(286\) | −17.6603 | + | 10.1962i | −1.04427 | + | 0.602911i | ||||
\(287\) | 5.19615 | − | 6.00000i | 0.306719 | − | 0.354169i | ||||
\(288\) | −21.9904 | + | 5.89230i | −1.29580 | + | 0.347207i | ||||
\(289\) | −36.9904 | + | 21.3564i | −2.17590 | + | 1.25626i | ||||
\(290\) | −5.36603 | − | 16.0981i | −0.315104 | − | 0.945312i | ||||
\(291\) | 18.4641 | + | 18.4641i | 1.08238 | + | 1.08238i | ||||
\(292\) | 4.39230 | − | 4.39230i | 0.257040 | − | 0.257040i | ||||
\(293\) | −6.73205 | + | 1.80385i | −0.393291 | + | 0.105382i | −0.450044 | − | 0.893006i | \(-0.648592\pi\) |
0.0567535 | + | 0.998388i | \(0.481925\pi\) | |||||||
\(294\) | −18.7583 | − | 14.0263i | −1.09401 | − | 0.818029i | ||||
\(295\) | −33.7583 | + | 2.02628i | −1.96549 | + | 0.117975i | ||||
\(296\) | 0.169873 | + | 0.294229i | 0.00987367 | + | 0.0171017i | ||||
\(297\) | − | 10.3923i | − | 0.603023i | ||||||
\(298\) | −7.73205 | − | 28.8564i | −0.447906 | − | 1.67161i | ||||
\(299\) | −9.19615 | + | 15.9282i | −0.531827 | + | 0.921152i | ||||
\(300\) | −9.00000 | − | 12.0000i | −0.519615 | − | 0.692820i | ||||
\(301\) | 3.86603 | − | 7.96410i | 0.222834 | − | 0.459043i | ||||
\(302\) | −32.9545 | + | 8.83013i | −1.89632 | + | 0.508117i | ||||
\(303\) | −3.23205 | + | 5.59808i | −0.185676 | + | 0.321601i | ||||
\(304\) | 12.1962 | 0.699497 | ||||||||
\(305\) | −5.46410 | + | 3.60770i | −0.312874 | + | 0.206576i | ||||
\(306\) | 22.3923 | − | 38.7846i | 1.28008 | − | 2.21717i | ||||
\(307\) | −5.36603 | + | 5.36603i | −0.306255 | + | 0.306255i | −0.843455 | − | 0.537200i | \(-0.819482\pi\) |
0.537200 | + | 0.843455i | \(0.319482\pi\) | |||||||
\(308\) | 3.00000 | + | 8.66025i | 0.170941 | + | 0.493464i | ||||
\(309\) | −4.03590 | − | 15.0622i | −0.229594 | − | 0.856857i | ||||
\(310\) | −2.00000 | − | 6.00000i | −0.113592 | − | 0.340777i | ||||
\(311\) | −6.16987 | + | 3.56218i | −0.349861 | + | 0.201993i | −0.664624 | − | 0.747178i | \(-0.731408\pi\) |
0.314763 | + | 0.949170i | \(0.398075\pi\) | |||||||
\(312\) | −4.09808 | + | 2.36603i | −0.232008 | + | 0.133950i | ||||
\(313\) | −2.19615 | + | 0.588457i | −0.124134 | + | 0.0332616i | −0.320351 | − | 0.947299i | \(-0.603801\pi\) |
0.196217 | + | 0.980560i | \(0.437134\pi\) | |||||||
\(314\) | −19.6603 | −1.10949 | ||||||||
\(315\) | −2.30385 | + | 17.5981i | −0.129807 | + | 0.991539i | ||||
\(316\) | 7.85641 | 0.441957 | ||||||||
\(317\) | −11.5622 | + | 3.09808i | −0.649397 | + | 0.174005i | −0.568456 | − | 0.822714i | \(-0.692459\pi\) |
−0.0809406 | + | 0.996719i | \(0.525792\pi\) | |||||||
\(318\) | − | 12.9282i | − | 0.724978i | ||||||
\(319\) | 6.80385 | − | 3.92820i | 0.380942 | − | 0.219937i | ||||
\(320\) | −11.4641 | − | 5.73205i | −0.640863 | − | 0.320431i | ||||
\(321\) | −14.4904 | + | 14.4904i | −0.808774 | + | 0.808774i | ||||
\(322\) | 13.4641 | + | 11.6603i | 0.750325 | + | 0.649801i | ||||
\(323\) | −14.9282 | + | 14.9282i | −0.830627 | + | 0.830627i | ||||
\(324\) | 15.5885i | 0.866025i | ||||||||
\(325\) | −20.7583 | − | 16.2942i | −1.15146 | − | 0.903841i | ||||
\(326\) | 18.5885 | 1.02952 | ||||||||
\(327\) | −5.42820 | − | 9.40192i | −0.300180 | − | 0.519928i | ||||
\(328\) | −1.50000 | + | 0.401924i | −0.0828236 | + | 0.0221925i | ||||
\(329\) | −20.0263 | + | 1.43782i | −1.10408 | + | 0.0792697i | ||||
\(330\) | 9.92820 | − | 11.1962i | 0.546530 | − | 0.616328i | ||||
\(331\) | 3.00000 | − | 5.19615i | 0.164895 | − | 0.285606i | −0.771723 | − | 0.635959i | \(-0.780605\pi\) |
0.936618 | + | 0.350352i | \(0.113938\pi\) | |||||||
\(332\) | 5.25833 | + | 19.6244i | 0.288588 | + | 1.07703i | ||||
\(333\) | 1.90192 | − | 0.509619i | 0.104225 | − | 0.0279269i | ||||
\(334\) | −3.36603 | − | 5.83013i | −0.184181 | − | 0.319010i | ||||
\(335\) | −10.5622 | − | 9.36603i | −0.577073 | − | 0.511721i | ||||
\(336\) | 6.69615 | + | 19.3301i | 0.365305 | + | 1.05454i | ||||
\(337\) | −7.36603 | + | 1.97372i | −0.401253 | + | 0.107515i | −0.453801 | − | 0.891103i | \(-0.649932\pi\) |
0.0525482 | + | 0.998618i | \(0.483266\pi\) | |||||||
\(338\) | 20.2942 | − | 20.2942i | 1.10386 | − | 1.10386i | ||||
\(339\) | −4.39230 | + | 16.3923i | −0.238557 | + | 0.890308i | ||||
\(340\) | 28.3923 | − | 9.46410i | 1.53979 | − | 0.513263i | ||||
\(341\) | 2.53590 | − | 1.46410i | 0.137327 | − | 0.0792855i | ||||
\(342\) | 4.09808 | − | 15.2942i | 0.221599 | − | 0.827017i | ||||
\(343\) | −10.0000 | + | 15.5885i | −0.539949 | + | 0.841698i | ||||
\(344\) | −1.50000 | + | 0.866025i | −0.0808746 | + | 0.0466930i | ||||
\(345\) | 2.70577 | − | 13.2224i | 0.145674 | − | 0.711872i | ||||
\(346\) | 37.8564 | − | 21.8564i | 2.03517 | − | 1.17501i | ||||
\(347\) | 2.42820 | − | 9.06218i | 0.130353 | − | 0.486483i | −0.869621 | − | 0.493720i | \(-0.835637\pi\) |
0.999974 | + | 0.00723662i | \(0.00230351\pi\) | |||||||
\(348\) | −10.2058 | + | 5.89230i | −0.547087 | + | 0.315861i | ||||
\(349\) | 5.00000 | + | 8.66025i | 0.267644 | + | 0.463573i | 0.968253 | − | 0.249973i | \(-0.0804216\pi\) |
−0.700609 | + | 0.713545i | \(0.747088\pi\) | |||||||
\(350\) | −19.2942 | + | 16.7583i | −1.03132 | + | 0.895770i | ||||
\(351\) | 7.09808 | + | 26.4904i | 0.378867 | + | 1.41395i | ||||
\(352\) | 3.92820 | − | 14.6603i | 0.209374 | − | 0.781394i | ||||
\(353\) | −12.4641 | − | 12.4641i | −0.663397 | − | 0.663397i | 0.292782 | − | 0.956179i | \(-0.405419\pi\) |
−0.956179 | + | 0.292782i | \(0.905419\pi\) | |||||||
\(354\) | 13.0981 | + | 48.8827i | 0.696155 | + | 2.59809i | ||||
\(355\) | −4.73205 | + | 9.46410i | −0.251151 | + | 0.502302i | ||||
\(356\) | −22.3923 | − | 12.9282i | −1.18679 | − | 0.685193i | ||||
\(357\) | −31.8564 | − | 15.4641i | −1.68602 | − | 0.818447i | ||||
\(358\) | 2.36603 | + | 0.633975i | 0.125048 | + | 0.0335066i | ||||
\(359\) | 9.46410 | − | 5.46410i | 0.499496 | − | 0.288384i | −0.229009 | − | 0.973424i | \(-0.573549\pi\) |
0.728505 | + | 0.685040i | \(0.240215\pi\) | |||||||
\(360\) | 2.30385 | − | 2.59808i | 0.121423 | − | 0.136931i | ||||
\(361\) | 5.76795 | − | 9.99038i | 0.303576 | − | 0.525810i | ||||
\(362\) | −10.0622 | − | 37.5526i | −0.528856 | − | 1.97372i | ||||
\(363\) | −10.5000 | − | 6.06218i | −0.551107 | − | 0.318182i | ||||
\(364\) | −13.5622 | − | 20.0263i | −0.710851 | − | 1.04966i | ||||
\(365\) | −1.60770 | + | 7.85641i | −0.0841506 | + | 0.411223i | ||||
\(366\) | 6.92820 | + | 6.92820i | 0.362143 | + | 0.362143i | ||||
\(367\) | 3.90192 | − | 3.90192i | 0.203679 | − | 0.203679i | −0.597895 | − | 0.801574i | \(-0.703996\pi\) |
0.801574 | + | 0.597895i | \(0.203996\pi\) | |||||||
\(368\) | −4.02628 | − | 15.0263i | −0.209884 | − | 0.783299i | ||||
\(369\) | 9.00000i | 0.468521i | ||||||||
\(370\) | 2.53590 | + | 1.26795i | 0.131835 | + | 0.0659175i | ||||
\(371\) | −10.1962 | + | 0.732051i | −0.529358 | + | 0.0380062i | ||||
\(372\) | −3.80385 | + | 2.19615i | −0.197220 | + | 0.113865i | ||||
\(373\) | −5.53590 | + | 5.53590i | −0.286638 | + | 0.286638i | −0.835749 | − | 0.549111i | \(-0.814966\pi\) |
0.549111 | + | 0.835749i | \(0.314966\pi\) | |||||||
\(374\) | 14.9282 | + | 25.8564i | 0.771919 | + | 1.33700i | ||||
\(375\) | 18.2321 | + | 6.52628i | 0.941499 | + | 0.337016i | ||||
\(376\) | 3.40192 | + | 1.96410i | 0.175441 | + | 0.101291i | ||||
\(377\) | −14.6603 | + | 14.6603i | −0.755041 | + | 0.755041i | ||||
\(378\) | 26.4904 | − | 1.90192i | 1.36252 | − | 0.0978244i | ||||
\(379\) | − | 17.5167i | − | 0.899770i | −0.893086 | − | 0.449885i | \(-0.851465\pi\) | ||
0.893086 | − | 0.449885i | \(-0.148535\pi\) | |||||||
\(380\) | 8.83013 | − | 5.83013i | 0.452976 | − | 0.299079i | ||||
\(381\) | 6.10770 | + | 22.7942i | 0.312907 | + | 1.16778i | ||||
\(382\) | 4.90192 | − | 18.2942i | 0.250804 | − | 0.936014i | ||||
\(383\) | −7.75833 | − | 7.75833i | −0.396432 | − | 0.396432i | 0.480540 | − | 0.876973i | \(-0.340441\pi\) |
−0.876973 | + | 0.480540i | \(0.840441\pi\) | |||||||
\(384\) | 1.83975 | − | 6.86603i | 0.0938841 | − | 0.350380i | ||||
\(385\) | −9.39230 | − | 7.19615i | −0.478676 | − | 0.366750i | ||||
\(386\) | −0.535898 | −0.0272765 | ||||||||
\(387\) | 2.59808 | + | 9.69615i | 0.132068 | + | 0.492883i | ||||
\(388\) | 25.2224 | − | 6.75833i | 1.28047 | − | 0.343102i | ||||
\(389\) | − | 9.05256i | − | 0.458983i | −0.973311 | − | 0.229491i | \(-0.926294\pi\) | ||
0.973311 | − | 0.229491i | \(-0.0737063\pi\) | |||||||
\(390\) | −17.6603 | + | 35.3205i | −0.894262 | + | 1.78852i | ||||
\(391\) | 23.3205 | + | 13.4641i | 1.17937 | + | 0.680909i | ||||
\(392\) | 3.33013 | − | 1.42820i | 0.168197 | − | 0.0721352i | ||||
\(393\) | −4.39230 | + | 7.60770i | −0.221562 | + | 0.383757i | ||||
\(394\) | 9.46410 | + | 5.46410i | 0.476795 | + | 0.275277i | ||||
\(395\) | −8.46410 | + | 5.58846i | −0.425875 | + | 0.281186i | ||||
\(396\) | −9.00000 | − | 5.19615i | −0.452267 | − | 0.261116i | ||||
\(397\) | 29.3205 | + | 7.85641i | 1.47155 | + | 0.394302i | 0.903464 | − | 0.428664i | \(-0.141016\pi\) |
0.568090 | + | 0.822966i | \(0.307682\pi\) | |||||||
\(398\) | 2.19615 | − | 8.19615i | 0.110083 | − | 0.410836i | ||||
\(399\) | −12.2942 | − | 2.36603i | −0.615481 | − | 0.118449i | ||||
\(400\) | 22.1603 | − | 2.66987i | 1.10801 | − | 0.133494i | ||||
\(401\) | −9.39230 | −0.469029 | −0.234515 | − | 0.972113i | \(-0.575350\pi\) | ||||
−0.234515 | + | 0.972113i | \(0.575350\pi\) | |||||||
\(402\) | −10.5622 | + | 18.2942i | −0.526794 | + | 0.912433i | ||||
\(403\) | −5.46410 | + | 5.46410i | −0.272186 | + | 0.272186i | ||||
\(404\) | 3.23205 | + | 5.59808i | 0.160801 | + | 0.278515i | ||||
\(405\) | −11.0885 | − | 16.7942i | −0.550990 | − | 0.834512i | ||||
\(406\) | 11.2583 | + | 16.6244i | 0.558742 | + | 0.825053i | ||||
\(407\) | −0.339746 | + | 1.26795i | −0.0168406 | + | 0.0628499i | ||||
\(408\) | 3.46410 | + | 6.00000i | 0.171499 | + | 0.297044i | ||||
\(409\) | 11.1603 | + | 19.3301i | 0.551839 | + | 0.955813i | 0.998142 | + | 0.0609313i | \(0.0194071\pi\) |
−0.446303 | + | 0.894882i | \(0.647260\pi\) | |||||||
\(410\) | −8.59808 | + | 9.69615i | −0.424629 | + | 0.478859i | ||||
\(411\) | 0.633975 | + | 2.36603i | 0.0312717 | + | 0.116707i | ||||
\(412\) | −15.0622 | − | 4.03590i | −0.742060 | − | 0.198834i | ||||
\(413\) | 37.8109 | − | 13.0981i | 1.86055 | − | 0.644514i | ||||
\(414\) | −20.1962 | −0.992587 | ||||||||
\(415\) | −19.6244 | − | 17.4019i | −0.963322 | − | 0.854227i | ||||
\(416\) | 40.0526i | 1.96374i | ||||||||
\(417\) | 18.8827 | − | 10.9019i | 0.924689 | − | 0.533870i | ||||
\(418\) | 7.46410 | + | 7.46410i | 0.365081 | + | 0.365081i | ||||
\(419\) | −1.16987 | + | 2.02628i | −0.0571520 | + | 0.0989902i | −0.893186 | − | 0.449688i | \(-0.851535\pi\) |
0.836034 | + | 0.548678i | \(0.184869\pi\) | |||||||
\(420\) | 14.0885 | + | 10.7942i | 0.687446 | + | 0.526704i | ||||
\(421\) | −2.40192 | − | 4.16025i | −0.117063 | − | 0.202758i | 0.801540 | − | 0.597941i | \(-0.204014\pi\) |
−0.918602 | + | 0.395183i | \(0.870681\pi\) | |||||||
\(422\) | −6.53590 | + | 24.3923i | −0.318163 | + | 1.18740i | ||||
\(423\) | 16.0981 | − | 16.0981i | 0.782715 | − | 0.782715i | ||||
\(424\) | 1.73205 | + | 1.00000i | 0.0841158 | + | 0.0485643i | ||||
\(425\) | −23.8564 | + | 30.3923i | −1.15721 | + | 1.47424i | ||||
\(426\) | 15.2942 | + | 4.09808i | 0.741008 | + | 0.198552i | ||||
\(427\) | 5.07180 | − | 5.85641i | 0.245441 | − | 0.283411i | ||||
\(428\) | 5.30385 | + | 19.7942i | 0.256371 | + | 0.956790i | ||||
\(429\) | −17.6603 | − | 4.73205i | −0.852645 | − | 0.228466i | ||||
\(430\) | −6.46410 | + | 12.9282i | −0.311727 | + | 0.623453i | ||||
\(431\) | −10.2942 | + | 17.8301i | −0.495856 | + | 0.858847i | −0.999989 | − | 0.00477901i | \(-0.998479\pi\) |
0.504133 | + | 0.863626i | \(0.331812\pi\) | |||||||
\(432\) | −20.0885 | − | 11.5981i | −0.966506 | − | 0.558013i | ||||
\(433\) | −0.124356 | − | 0.124356i | −0.00597615 | − | 0.00597615i | 0.704112 | − | 0.710089i | \(-0.251345\pi\) |
−0.710089 | + | 0.704112i | \(0.751345\pi\) | |||||||
\(434\) | 4.19615 | + | 6.19615i | 0.201422 | + | 0.297425i | ||||
\(435\) | 6.80385 | − | 13.6077i | 0.326220 | − | 0.652439i | ||||
\(436\) | −10.8564 | −0.519928 | ||||||||
\(437\) | 9.19615 | + | 2.46410i | 0.439912 | + | 0.117874i | ||||
\(438\) | 12.0000 | 0.573382 | ||||||||
\(439\) | 17.9282 | − | 31.0526i | 0.855666 | − | 1.48206i | −0.0203589 | − | 0.999793i | \(-0.506481\pi\) |
0.876025 | − | 0.482265i | \(-0.160186\pi\) | |||||||
\(440\) | 0.732051 | + | 2.19615i | 0.0348992 | + | 0.104697i | ||||
\(441\) | −3.00000 | − | 20.7846i | −0.142857 | − | 0.989743i | ||||
\(442\) | −55.7128 | − | 55.7128i | −2.64999 | − | 2.64999i | ||||
\(443\) | 3.16025 | + | 11.7942i | 0.150148 | + | 0.560361i | 0.999472 | + | 0.0324887i | \(0.0103433\pi\) |
−0.849324 | + | 0.527872i | \(0.822990\pi\) | |||||||
\(444\) | 0.509619 | − | 1.90192i | 0.0241854 | − | 0.0902613i | ||||
\(445\) | 33.3205 | − | 2.00000i | 1.57954 | − | 0.0948091i | ||||
\(446\) | − | 14.6603i | − | 0.694183i | ||||||
\(447\) | 13.3923 | − | 23.1962i | 0.633434 | − | 1.09714i | ||||
\(448\) | 14.8923 | + | 2.86603i | 0.703595 | + | 0.135407i | ||||
\(449\) | − | 7.33975i | − | 0.346384i | −0.984888 | − | 0.173192i | \(-0.944592\pi\) | ||
0.984888 | − | 0.173192i | \(-0.0554081\pi\) | |||||||
\(450\) | 4.09808 | − | 28.6865i | 0.193185 | − | 1.35230i | ||||
\(451\) | −5.19615 | − | 3.00000i | −0.244677 | − | 0.141264i | ||||
\(452\) | 12.0000 | + | 12.0000i | 0.564433 | + | 0.564433i | ||||
\(453\) | −26.4904 | − | 15.2942i | −1.24463 | − | 0.718586i | ||||
\(454\) | −18.5622 | + | 32.1506i | −0.871166 | + | 1.50890i | ||||
\(455\) | 28.8564 | + | 11.9282i | 1.35281 | + | 0.559203i | ||||
\(456\) | 1.73205 | + | 1.73205i | 0.0811107 | + | 0.0811107i | ||||
\(457\) | 31.4904 | − | 8.43782i | 1.47306 | − | 0.394705i | 0.569079 | − | 0.822283i | \(-0.307300\pi\) |
0.903979 | + | 0.427578i | \(0.140633\pi\) | |||||||
\(458\) | 9.96410 | − | 2.66987i | 0.465592 | − | 0.124755i | ||||
\(459\) | 38.7846 | − | 10.3923i | 1.81031 | − | 0.485071i | ||||
\(460\) | −10.0981 | − | 8.95448i | −0.470825 | − | 0.417505i | ||||
\(461\) | 20.7679 | − | 11.9904i | 0.967260 | − | 0.558448i | 0.0688601 | − | 0.997626i | \(-0.478064\pi\) |
0.898400 | + | 0.439179i | \(0.144730\pi\) | |||||||
\(462\) | −7.73205 | + | 15.9282i | −0.359728 | + | 0.741047i | ||||
\(463\) | 3.83975 | + | 14.3301i | 0.178448 | + | 0.665977i | 0.995939 | + | 0.0900353i | \(0.0286980\pi\) |
−0.817490 | + | 0.575942i | \(0.804635\pi\) | |||||||
\(464\) | − | 17.5359i | − | 0.814084i | ||||||
\(465\) | 2.53590 | − | 5.07180i | 0.117599 | − | 0.235199i | ||||
\(466\) | 24.9282 | 1.15478 | ||||||||
\(467\) | −2.50000 | − | 0.669873i | −0.115686 | − | 0.0309980i | 0.200511 | − | 0.979691i | \(-0.435740\pi\) |
−0.316198 | + | 0.948693i | \(0.602406\pi\) | |||||||
\(468\) | 26.4904 | + | 7.09808i | 1.22452 | + | 0.328109i | ||||
\(469\) | 15.0263 | + | 7.29423i | 0.693849 | + | 0.336816i | ||||
\(470\) | 32.7224 | − | 1.96410i | 1.50937 | − | 0.0905973i | ||||
\(471\) | −12.4641 | − | 12.4641i | −0.574315 | − | 0.574315i | ||||
\(472\) | −7.56218 | − | 2.02628i | −0.348077 | − | 0.0932671i | ||||
\(473\) | −6.46410 | − | 1.73205i | −0.297220 | − | 0.0796398i | ||||
\(474\) | 10.7321 | + | 10.7321i | 0.492939 | + | 0.492939i | ||||
\(475\) | −5.36603 | + | 12.5622i | −0.246210 | + | 0.576392i | ||||
\(476\) | −29.3205 | + | 19.8564i | −1.34390 | + | 0.910117i | ||||
\(477\) | 8.19615 | − | 8.19615i | 0.375276 | − | 0.375276i | ||||
\(478\) | −3.73205 | − | 1.00000i | −0.170700 | − | 0.0457389i | ||||
\(479\) | −17.2679 | −0.788993 | −0.394496 | − | 0.918897i | \(-0.629081\pi\) | ||||
−0.394496 | + | 0.918897i | \(0.629081\pi\) | |||||||
\(480\) | −9.29423 | − | 27.8827i | −0.424222 | − | 1.27266i | ||||
\(481\) | − | 3.46410i | − | 0.157949i | ||||||
\(482\) | 11.2321 | + | 41.9186i | 0.511606 | + | 1.90934i | ||||
\(483\) | 1.14359 | + | 15.9282i | 0.0520353 | + | 0.724758i | ||||
\(484\) | −10.5000 | + | 6.06218i | −0.477273 | + | 0.275554i | ||||
\(485\) | −22.3660 | + | 25.2224i | −1.01559 | + | 1.14529i | ||||
\(486\) | −21.2942 | + | 21.2942i | −0.965926 | + | 0.965926i | ||||
\(487\) | −29.7583 | + | 7.97372i | −1.34848 | + | 0.361324i | −0.859573 | − | 0.511013i | \(-0.829270\pi\) |
−0.488906 | + | 0.872337i | \(0.662604\pi\) | |||||||
\(488\) | −1.46410 | + | 0.392305i | −0.0662768 | + | 0.0177588i | ||||
\(489\) | 11.7846 | + | 11.7846i | 0.532918 | + | 0.532918i | ||||
\(490\) | 16.6244 | − | 25.2583i | 0.751012 | − | 1.14106i | ||||
\(491\) | 8.29423 | − | 14.3660i | 0.374313 | − | 0.648330i | −0.615911 | − | 0.787816i | \(-0.711212\pi\) |
0.990224 | + | 0.139486i | \(0.0445451\pi\) | |||||||
\(492\) | 7.79423 | + | 4.50000i | 0.351391 | + | 0.202876i | ||||
\(493\) | 21.4641 | + | 21.4641i | 0.966695 | + | 0.966695i | ||||
\(494\) | −24.1244 | − | 13.9282i | −1.08541 | − | 0.626659i | ||||
\(495\) | 13.3923 | − | 0.803848i | 0.601939 | − | 0.0361303i | ||||
\(496\) | − | 6.53590i | − | 0.293471i | ||||||
\(497\) | 2.36603 | − | 12.2942i | 0.106131 | − | 0.551472i | ||||
\(498\) | −19.6244 | + | 33.9904i | −0.879388 | + | 1.52315i | ||||
\(499\) | 17.6077i | 0.788229i | 0.919061 | + | 0.394114i | \(0.128949\pi\) | ||||
−0.919061 | + | 0.394114i | \(0.871051\pi\) | |||||||
\(500\) | 14.7679 | − | 12.5263i | 0.660443 | − | 0.560192i | ||||
\(501\) | 1.56218 | − | 5.83013i | 0.0697930 | − | 0.260471i | ||||
\(502\) | 1.83013 | + | 6.83013i | 0.0816826 | + | 0.304843i | ||||
\(503\) | 4.36603 | + | 4.36603i | 0.194671 | + | 0.194671i | 0.797711 | − | 0.603040i | \(-0.206044\pi\) |
−0.603040 | + | 0.797711i | \(0.706044\pi\) | |||||||
\(504\) | −1.79423 | + | 3.69615i | −0.0799213 | + | 0.164640i | ||||
\(505\) | −7.46410 | − | 3.73205i | −0.332148 | − | 0.166074i | ||||
\(506\) | 6.73205 | − | 11.6603i | 0.299276 | − | 0.518362i | ||||
\(507\) | 25.7321 | 1.14280 | ||||||||
\(508\) | 22.7942 | + | 6.10770i | 1.01133 | + | 0.270985i | ||||
\(509\) | −32.9090 | −1.45866 | −0.729332 | − | 0.684160i | \(-0.760169\pi\) | ||||
−0.729332 | + | 0.684160i | \(0.760169\pi\) | |||||||
\(510\) | 51.7128 | + | 25.8564i | 2.28988 | + | 1.14494i | ||||
\(511\) | −0.679492 | − | 9.46410i | −0.0300590 | − | 0.418667i | ||||
\(512\) | −20.6865 | − | 20.6865i | −0.914224 | − | 0.914224i | ||||
\(513\) | 12.2942 | − | 7.09808i | 0.542803 | − | 0.313388i | ||||
\(514\) | −0.267949 | + | 0.464102i | −0.0118187 | + | 0.0204706i | ||||
\(515\) | 19.0981 | − | 6.36603i | 0.841562 | − | 0.280521i | ||||
\(516\) | 9.69615 | + | 2.59808i | 0.426849 | + | 0.114374i | ||||
\(517\) | 3.92820 | + | 14.6603i | 0.172762 | + | 0.644757i | ||||
\(518\) | −3.29423 | − | 0.633975i | −0.144740 | − | 0.0278552i | ||||
\(519\) | 37.8564 | + | 10.1436i | 1.66171 | + | 0.445254i | ||||
\(520\) | −3.36603 | − | 5.09808i | −0.147610 | − | 0.223565i | ||||
\(521\) | −6.35641 | − | 3.66987i | −0.278479 | − | 0.160780i | 0.354256 | − | 0.935149i | \(-0.384734\pi\) |
−0.632735 | + | 0.774369i | \(0.718068\pi\) | |||||||
\(522\) | −21.9904 | − | 5.89230i | −0.962493 | − | 0.257899i | ||||
\(523\) | 6.23205 | − | 23.2583i | 0.272509 | − | 1.01702i | −0.684984 | − | 0.728558i | \(-0.740191\pi\) |
0.957493 | − | 0.288458i | \(-0.0931425\pi\) | |||||||
\(524\) | 4.39230 | + | 7.60770i | 0.191879 | + | 0.332344i | ||||
\(525\) | −22.8564 | − | 1.60770i | −0.997535 | − | 0.0701656i | ||||
\(526\) | 5.33013 | − | 9.23205i | 0.232405 | − | 0.402537i | ||||
\(527\) | 8.00000 | + | 8.00000i | 0.348485 | + | 0.348485i | ||||
\(528\) | 13.3923 | − | 7.73205i | 0.582825 | − | 0.336494i | ||||
\(529\) | 10.8564i | 0.472018i | ||||||||
\(530\) | 16.6603 | − | 1.00000i | 0.723675 | − | 0.0434372i | ||||
\(531\) | −22.6865 | + | 39.2942i | −0.984512 | + | 1.70522i | ||||
\(532\) | −8.19615 | + | 9.46410i | −0.355348 | + | 0.410321i | ||||
\(533\) | 15.2942 | + | 4.09808i | 0.662467 | + | 0.177507i | ||||
\(534\) | −12.9282 | − | 48.2487i | −0.559458 | − | 2.08793i | ||||
\(535\) | −19.7942 | − | 17.5526i | −0.855779 | − | 0.758863i | ||||
\(536\) | −1.63397 | − | 2.83013i | −0.0705770 | − | 0.122243i | ||||
\(537\) | 1.09808 | + | 1.90192i | 0.0473855 | + | 0.0820741i | ||||
\(538\) | 14.1962 | − | 52.9808i | 0.612040 | − | 2.28416i | ||||
\(539\) | 13.0000 | + | 5.19615i | 0.559950 | + | 0.223814i | ||||
\(540\) | −20.0885 | + | 1.20577i | −0.864470 | + | 0.0518881i | ||||
\(541\) | 3.46410 | + | 6.00000i | 0.148933 | + | 0.257960i | 0.930834 | − | 0.365444i | \(-0.119083\pi\) |
−0.781900 | + | 0.623404i | \(0.785749\pi\) | |||||||
\(542\) | −44.5167 | + | 44.5167i | −1.91215 | + | 1.91215i | ||||
\(543\) | 17.4282 | − | 30.1865i | 0.747916 | − | 1.29543i | ||||
\(544\) | 58.6410 | 2.51421 | ||||||||
\(545\) | 11.6962 | − | 7.72243i | 0.501008 | − | 0.330793i | ||||
\(546\) | 8.83013 | − | 45.8827i | 0.377895 | − | 1.96360i | ||||
\(547\) | −10.4019 | + | 38.8205i | −0.444754 | + | 1.65985i | 0.271831 | + | 0.962345i | \(0.412371\pi\) |
−0.716585 | + | 0.697500i | \(0.754296\pi\) | |||||||
\(548\) | 2.36603 | + | 0.633975i | 0.101072 | + | 0.0270821i | ||||
\(549\) | 8.78461i | 0.374918i | ||||||||
\(550\) | 15.1962 | + | 11.9282i | 0.647966 | + | 0.508620i | ||||
\(551\) | 9.29423 | + | 5.36603i | 0.395947 | + | 0.228600i | ||||
\(552\) | 1.56218 | − | 2.70577i | 0.0664907 | − | 0.115165i | ||||
\(553\) | 7.85641 | − | 9.07180i | 0.334088 | − | 0.385772i | ||||
\(554\) | −19.3923 | − | 11.1962i | −0.823900 | − | 0.475679i | ||||
\(555\) | 0.803848 | + | 2.41154i | 0.0341214 | + | 0.102364i | ||||
\(556\) | − | 21.8038i | − | 0.924689i | ||||||
\(557\) | 41.3205 | − | 11.0718i | 1.75081 | − | 0.469127i | 0.766008 | − | 0.642831i | \(-0.222240\pi\) |
0.984798 | + | 0.173704i | \(0.0555735\pi\) | |||||||
\(558\) | −8.19615 | − | 2.19615i | −0.346971 | − | 0.0929705i | ||||
\(559\) | 17.6603 | 0.746949 | ||||||||
\(560\) | −24.3923 | + | 10.1244i | −1.03076 | + | 0.427832i | ||||
\(561\) | −6.92820 | + | 25.8564i | −0.292509 | + | 1.09166i | ||||
\(562\) | −30.4186 | − | 30.4186i | −1.28313 | − | 1.28313i | ||||
\(563\) | −1.09808 | + | 4.09808i | −0.0462784 | + | 0.172713i | −0.985197 | − | 0.171426i | \(-0.945163\pi\) |
0.938919 | + | 0.344139i | \(0.111829\pi\) | |||||||
\(564\) | −5.89230 | − | 21.9904i | −0.248111 | − | 0.925962i | ||||
\(565\) | −21.4641 | − | 4.39230i | −0.903002 | − | 0.184786i | ||||
\(566\) | − | 26.3205i | − | 1.10633i | ||||||
\(567\) | 18.0000 | + | 15.5885i | 0.755929 | + | 0.654654i | ||||
\(568\) | −1.73205 | + | 1.73205i | −0.0726752 | + | 0.0726752i | ||||
\(569\) | 9.46410 | + | 5.46410i | 0.396756 | + | 0.229067i | 0.685083 | − | 0.728465i | \(-0.259766\pi\) |
−0.288327 | + | 0.957532i | \(0.593099\pi\) | |||||||
\(570\) | 20.0263 | + | 4.09808i | 0.838809 | + | 0.171650i | ||||
\(571\) | −3.09808 | − | 5.36603i | −0.129650 | − | 0.224561i | 0.793891 | − | 0.608060i | \(-0.208052\pi\) |
−0.923541 | + | 0.383499i | \(0.874719\pi\) | |||||||
\(572\) | −12.9282 | + | 12.9282i | −0.540555 | + | 0.540555i | ||||
\(573\) | 14.7058 | − | 8.49038i | 0.614342 | − | 0.354691i | ||||
\(574\) | 6.69615 | − | 13.7942i | 0.279492 | − | 0.575760i | ||||
\(575\) | 17.2487 | + | 2.46410i | 0.719321 | + | 0.102760i | ||||
\(576\) | −14.8923 | + | 8.59808i | −0.620513 | + | 0.358253i | ||||
\(577\) | 8.80385 | + | 32.8564i | 0.366509 | + | 1.36783i | 0.865364 | + | 0.501144i | \(0.167087\pi\) |
−0.498855 | + | 0.866686i | \(0.666246\pi\) | |||||||
\(578\) | −58.3468 | + | 58.3468i | −2.42691 | + | 2.42691i | ||||
\(579\) | −0.339746 | − | 0.339746i | −0.0141194 | − | 0.0141194i | ||||
\(580\) | −8.38269 | − | 12.6962i | −0.348072 | − | 0.527179i | ||||
\(581\) | 27.9186 | + | 13.5526i | 1.15826 | + | 0.562255i | ||||
\(582\) | 43.6865 | + | 25.2224i | 1.81087 | + | 1.04550i | ||||
\(583\) | 2.00000 | + | 7.46410i | 0.0828315 | + | 0.309132i | ||||
\(584\) | −0.928203 | + | 1.60770i | −0.0384093 | + | 0.0665269i | ||||
\(585\) | −33.5885 | + | 11.1962i | −1.38871 | + | 0.462904i | ||||
\(586\) | −11.6603 | + | 6.73205i | −0.481681 | + | 0.278098i | ||||
\(587\) | −26.1603 | − | 7.00962i | −1.07975 | − | 0.289318i | −0.325256 | − | 0.945626i | \(-0.605451\pi\) |
−0.754493 | + | 0.656308i | \(0.772117\pi\) | |||||||
\(588\) | −19.5000 | − | 7.79423i | −0.804166 | − | 0.321429i | ||||
\(589\) | 3.46410 | + | 2.00000i | 0.142736 | + | 0.0824086i | ||||
\(590\) | −61.9808 | + | 20.6603i | −2.55171 | + | 0.850569i | ||||
\(591\) | 2.53590 | + | 9.46410i | 0.104313 | + | 0.389301i | ||||
\(592\) | 2.07180 | + | 2.07180i | 0.0851503 | + | 0.0851503i | ||||
\(593\) | 7.75833 | − | 28.9545i | 0.318596 | − | 1.18902i | −0.601998 | − | 0.798498i | \(-0.705628\pi\) |
0.920594 | − | 0.390520i | \(-0.127705\pi\) | |||||||
\(594\) | −5.19615 | − | 19.3923i | −0.213201 | − | 0.795676i | ||||
\(595\) | 17.4641 | − | 42.2487i | 0.715958 | − | 1.73203i | ||||
\(596\) | −13.3923 | − | 23.1962i | −0.548570 | − | 0.950151i | ||||
\(597\) | 6.58846 | − | 3.80385i | 0.269648 | − | 0.155681i | ||||
\(598\) | −9.19615 | + | 34.3205i | −0.376059 | + | 1.40347i | ||||
\(599\) | 15.7128 | − | 9.07180i | 0.642008 | − | 0.370664i | −0.143380 | − | 0.989668i | \(-0.545797\pi\) |
0.785388 | + | 0.619004i | \(0.212464\pi\) | |||||||
\(600\) | 3.52628 | + | 2.76795i | 0.143960 | + | 0.113001i | ||||
\(601\) | 29.3205 | − | 16.9282i | 1.19601 | − | 0.690516i | 0.236346 | − | 0.971669i | \(-0.424050\pi\) |
0.959663 | + | 0.281153i | \(0.0907169\pi\) | |||||||
\(602\) | 3.23205 | − | 16.7942i | 0.131729 | − | 0.684482i | ||||
\(603\) | −18.2942 | + | 4.90192i | −0.744999 | + | 0.199622i | ||||
\(604\) | −26.4904 | + | 15.2942i | −1.07788 | + | 0.622313i | ||||
\(605\) | 7.00000 | − | 14.0000i | 0.284590 | − | 0.569181i | ||||
\(606\) | −3.23205 | + | 12.0622i | −0.131293 | + | 0.489992i | ||||
\(607\) | 2.70577 | − | 2.70577i | 0.109824 | − | 0.109824i | −0.650059 | − | 0.759883i | \(-0.725256\pi\) |
0.759883 | + | 0.650059i | \(0.225256\pi\) | |||||||
\(608\) | 20.0263 | − | 5.36603i | 0.812173 | − | 0.217621i | ||||
\(609\) | −3.40192 | + | 17.6769i | −0.137853 | + | 0.716305i | ||||
\(610\) | −8.39230 | + | 9.46410i | −0.339794 | + | 0.383190i | ||||
\(611\) | −20.0263 | − | 34.6865i | −0.810177 | − | 1.40327i | ||||
\(612\) | 10.3923 | − | 38.7846i | 0.420084 | − | 1.56777i | ||||
\(613\) | 6.09808 | + | 22.7583i | 0.246299 | + | 0.919200i | 0.972726 | + | 0.231957i | \(0.0745128\pi\) |
−0.726427 | + | 0.687244i | \(0.758821\pi\) | |||||||
\(614\) | −7.33013 | + | 12.6962i | −0.295820 | + | 0.512375i | ||||
\(615\) | −11.5981 | + | 0.696152i | −0.467680 | + | 0.0280716i | ||||
\(616\) | −1.53590 | − | 2.26795i | −0.0618831 | − | 0.0913783i | ||||
\(617\) | 12.3923 | − | 3.32051i | 0.498895 | − | 0.133679i | −0.000591902 | − | 1.00000i | \(-0.500188\pi\) |
0.499487 | + | 0.866321i | \(0.333522\pi\) | |||||||
\(618\) | −15.0622 | − | 26.0885i | −0.605890 | − | 1.04943i | ||||
\(619\) | −40.7846 | −1.63927 | −0.819636 | − | 0.572885i | \(-0.805824\pi\) | ||||
−0.819636 | + | 0.572885i | \(0.805824\pi\) | |||||||
\(620\) | −3.12436 | − | 4.73205i | −0.125477 | − | 0.190044i | ||||
\(621\) | −12.8038 | − | 12.8038i | −0.513801 | − | 0.513801i | ||||
\(622\) | −9.73205 | + | 9.73205i | −0.390220 | + | 0.390220i | ||||
\(623\) | −37.3205 | + | 12.9282i | −1.49521 | + | 0.517958i | ||||
\(624\) | −28.8564 | + | 28.8564i | −1.15518 | + | 1.15518i | ||||
\(625\) | −7.00000 | + | 24.0000i | −0.280000 | + | 0.960000i | ||||
\(626\) | −3.80385 | + | 2.19615i | −0.152032 | + | 0.0877759i | ||||
\(627\) | 9.46410i | 0.377960i | ||||||||
\(628\) | −17.0263 | + | 4.56218i | −0.679423 | + | 0.182051i | ||||
\(629\) | −5.07180 | −0.202226 | ||||||||
\(630\) | 4.50000 | + | 33.9904i | 0.179284 | + | 1.35421i | ||||
\(631\) | 15.8564 | 0.631234 | 0.315617 | − | 0.948887i | \(-0.397789\pi\) | ||||
0.315617 | + | 0.948887i | \(0.397789\pi\) | |||||||
\(632\) | −2.26795 | + | 0.607695i | −0.0902142 | + | 0.0241728i | ||||
\(633\) | −19.6077 | + | 11.3205i | −0.779336 | + | 0.449950i | ||||
\(634\) | −20.0263 | + | 11.5622i | −0.795345 | + | 0.459193i | ||||
\(635\) | −28.9019 | + | 9.63397i | −1.14694 | + | 0.382313i | ||||
\(636\) | −3.00000 | − | 11.1962i | −0.118958 | − | 0.443956i | ||||
\(637\) | −36.6865 | − | 4.36603i | −1.45357 | − | 0.172988i | ||||
\(638\) | 10.7321 | − | 10.7321i | 0.424886 | − | 0.424886i | ||||
\(639\) | 7.09808 | + | 12.2942i | 0.280796 | + | 0.486352i | ||||
\(640\) | 8.99038 | + | 1.83975i | 0.355376 | + | 0.0727223i | ||||
\(641\) | 38.3923 | 1.51640 | 0.758202 | − | 0.652019i | \(-0.226078\pi\) | ||||
0.758202 | + | 0.652019i | \(0.226078\pi\) | |||||||
\(642\) | −19.7942 | + | 34.2846i | −0.781216 | + | 1.35311i | ||||
\(643\) | −36.6506 | + | 9.82051i | −1.44536 | + | 0.387283i | −0.894407 | − | 0.447253i | \(-0.852402\pi\) |
−0.550953 | + | 0.834536i | \(0.685736\pi\) | |||||||
\(644\) | 14.3660 | + | 6.97372i | 0.566101 | + | 0.274803i | ||||
\(645\) | −12.2942 | + | 4.09808i | −0.484085 | + | 0.161362i | ||||
\(646\) | −20.3923 | + | 35.3205i | −0.802325 | + | 1.38967i | ||||
\(647\) | −7.40192 | − | 27.6244i | −0.291000 | − | 1.08603i | −0.944343 | − | 0.328963i | \(-0.893301\pi\) |
0.653343 | − | 0.757062i | \(-0.273366\pi\) | |||||||
\(648\) | −1.20577 | − | 4.50000i | −0.0473672 | − | 0.176777i | ||||
\(649\) | −15.1244 | − | 26.1962i | −0.593683 | − | 1.02829i | ||||
\(650\) | −46.8827 | − | 20.0263i | −1.83889 | − | 0.785495i | ||||
\(651\) | −1.26795 | + | 6.58846i | −0.0496948 | + | 0.258222i | ||||
\(652\) | 16.0981 | − | 4.31347i | 0.630449 | − | 0.168928i | ||||
\(653\) | 11.2679 | − | 11.2679i | 0.440949 | − | 0.440949i | −0.451382 | − | 0.892331i | \(-0.649069\pi\) |
0.892331 | + | 0.451382i | \(0.149069\pi\) | |||||||
\(654\) | −14.8301 | − | 14.8301i | −0.579904 | − | 0.579904i | ||||
\(655\) | −10.1436 | − | 5.07180i | −0.396343 | − | 0.198171i | ||||
\(656\) | −11.5981 | + | 6.69615i | −0.452829 | + | 0.261441i | ||||
\(657\) | 7.60770 | + | 7.60770i | 0.296804 | + | 0.296804i | ||||
\(658\) | −36.6506 | + | 12.6962i | −1.42879 | + | 0.494948i | ||||
\(659\) | 34.3468 | − | 19.8301i | 1.33796 | − | 0.772472i | 0.351456 | − | 0.936204i | \(-0.385687\pi\) |
0.986505 | + | 0.163732i | \(0.0523533\pi\) | |||||||
\(660\) | 6.00000 | − | 12.0000i | 0.233550 | − | 0.467099i | ||||
\(661\) | 20.2583 | − | 11.6962i | 0.787958 | − | 0.454928i | −0.0512854 | − | 0.998684i | \(-0.516332\pi\) |
0.839243 | + | 0.543756i | \(0.182998\pi\) | |||||||
\(662\) | 3.00000 | − | 11.1962i | 0.116598 | − | 0.435151i | ||||
\(663\) | − | 70.6410i | − | 2.74347i | ||||||
\(664\) | −3.03590 | − | 5.25833i | −0.117816 | − | 0.204063i | ||||
\(665\) | 2.09808 | − | 16.0263i | 0.0813599 | − | 0.621472i | ||||
\(666\) | 3.29423 | − | 1.90192i | 0.127649 | − | 0.0736980i | ||||
\(667\) | 3.54294 | − | 13.2224i | 0.137183 | − | 0.511975i | ||||
\(668\) | −4.26795 | − | 4.26795i | −0.165132 | − | 0.165132i | ||||
\(669\) | 9.29423 | − | 9.29423i | 0.359336 | − | 0.359336i | ||||
\(670\) | −24.3923 | − | 12.1962i | −0.942357 | − | 0.471178i | ||||
\(671\) | −5.07180 | − | 2.92820i | −0.195795 | − | 0.113042i | ||||
\(672\) | 19.5000 | + | 28.7942i | 0.752229 | + | 1.11076i | ||||
\(673\) | −13.5622 | − | 3.63397i | −0.522784 | − | 0.140079i | −0.0122297 | − | 0.999925i | \(-0.503893\pi\) |
−0.510554 | + | 0.859846i | \(0.670560\pi\) | |||||||
\(674\) | −12.7583 | + | 7.36603i | −0.491433 | + | 0.283729i | ||||
\(675\) | 20.7846 | − | 15.5885i | 0.800000 | − | 0.600000i | ||||
\(676\) | 12.8660 | − | 22.2846i | 0.494847 | − | 0.857100i | ||||
\(677\) | −12.6340 | − | 47.1506i | −0.485563 | − | 1.81215i | −0.577512 | − | 0.816382i | \(-0.695976\pi\) |
0.0919487 | − | 0.995764i | \(-0.470690\pi\) | |||||||
\(678\) | 32.7846i | 1.25909i | ||||||||
\(679\) | 17.4186 | − | 35.8827i | 0.668464 | − | 1.37705i | ||||
\(680\) | −7.46410 | + | 4.92820i | −0.286235 | + | 0.188988i | ||||
\(681\) | −32.1506 | + | 8.61474i | −1.23202 | + | 0.330117i | ||||
\(682\) | 4.00000 | − | 4.00000i | 0.153168 | − | 0.153168i | ||||
\(683\) | −3.08142 | − | 11.5000i | −0.117907 | − | 0.440035i | 0.881581 | − | 0.472033i | \(-0.156480\pi\) |
−0.999488 | + | 0.0319978i | \(0.989813\pi\) | |||||||
\(684\) | − | 14.1962i | − | 0.542803i | ||||||
\(685\) | −3.00000 | + | 1.00000i | −0.114624 | + | 0.0382080i | ||||
\(686\) | −10.8660 | + | 34.0885i | −0.414867 | + | 1.30150i | ||||
\(687\) | 8.00962 | + | 4.62436i | 0.305586 | + | 0.176430i | ||||
\(688\) | −10.5622 | + | 10.5622i | −0.402679 | + | 0.402679i | ||||
\(689\) | −10.1962 | − | 17.6603i | −0.388442 | − | 0.672802i | ||||
\(690\) | −1.56218 | − | 26.0263i | −0.0594711 | − | 0.990804i | ||||
\(691\) | 10.8564 | + | 6.26795i | 0.412997 | + | 0.238444i | 0.692077 | − | 0.721824i | \(-0.256696\pi\) |
−0.279080 | + | 0.960268i | \(0.590029\pi\) | |||||||
\(692\) | 27.7128 | − | 27.7128i | 1.05348 | − | 1.05348i | ||||
\(693\) | −15.0000 | + | 5.19615i | −0.569803 | + | 0.197386i | ||||
\(694\) | − | 18.1244i | − | 0.687991i | ||||||
\(695\) | 15.5096 | + | 23.4904i | 0.588313 | + | 0.891041i | ||||
\(696\) | 2.49038 | − | 2.49038i | 0.0943977 | − | 0.0943977i | ||||
\(697\) | 6.00000 | − | 22.3923i | 0.227266 | − | 0.848169i | ||||
\(698\) | 13.6603 | + | 13.6603i | 0.517048 | + | 0.517048i | ||||
\(699\) | 15.8038 | + | 15.8038i | 0.597756 | + | 0.597756i | ||||
\(700\) | −12.8205 | + | 18.9904i | −0.484570 | + | 0.717769i | ||||
\(701\) | −27.0526 | −1.02176 | −0.510881 | − | 0.859652i | \(-0.670681\pi\) | ||||
−0.510881 | + | 0.859652i | \(0.670681\pi\) | |||||||
\(702\) | 26.4904 | + | 45.8827i | 0.999815 | + | 1.73173i | ||||
\(703\) | −1.73205 | + | 0.464102i | −0.0653255 | + | 0.0175039i | ||||
\(704\) | − | 11.4641i | − | 0.432070i | ||||||
\(705\) | 21.9904 | + | 19.5000i | 0.828206 | + | 0.734412i | ||||
\(706\) | −29.4904 | − | 17.0263i | −1.10989 | − | 0.640792i | ||||
\(707\) | 9.69615 | + | 1.86603i | 0.364661 | + | 0.0701791i | ||||
\(708\) | 22.6865 | + | 39.2942i | 0.852612 | + | 1.47677i | ||||
\(709\) | 24.8038 | + | 14.3205i | 0.931528 | + | 0.537818i | 0.887295 | − | 0.461203i | \(-0.152582\pi\) |
0.0442335 | + | 0.999021i | \(0.485915\pi\) | |||||||
\(710\) | −4.09808 | + | 20.0263i | −0.153798 | + | 0.751573i | ||||
\(711\) | 13.6077i | 0.510328i | ||||||||
\(712\) | 7.46410 | + | 2.00000i | 0.279729 | + | 0.0749532i | ||||
\(713\) | 1.32051 | − | 4.92820i | 0.0494534 | − | 0.184563i | ||||
\(714\) | −67.1769 | − | 12.9282i | −2.51403 | − | 0.483826i | ||||
\(715\) | 4.73205 | − | 23.1244i | 0.176969 | − | 0.864802i | ||||
\(716\) | 2.19615 | 0.0820741 | ||||||||
\(717\) | −1.73205 | − | 3.00000i | −0.0646846 | − | 0.112037i | ||||
\(718\) | 14.9282 | − | 14.9282i | 0.557116 | − | 0.557116i | ||||
\(719\) | 4.53590 | + | 7.85641i | 0.169160 | + | 0.292995i | 0.938125 | − | 0.346297i | \(-0.112561\pi\) |
−0.768964 | + | 0.639292i | \(0.779228\pi\) | |||||||
\(720\) | 13.3923 | − | 26.7846i | 0.499102 | − | 0.998203i | ||||
\(721\) | −19.7224 | + | 13.3564i | −0.734502 | + | 0.497419i | ||||
\(722\) | 5.76795 | − | 21.5263i | 0.214661 | − | 0.801125i | ||||
\(723\) | −19.4545 | + | 33.6962i | −0.723520 | + | 1.25317i | ||||
\(724\) | −17.4282 | − | 30.1865i | −0.647714 | − | 1.12187i | ||||
\(725\) | 18.0622 | + | 7.71539i | 0.670812 | + | 0.286542i | ||||
\(726\) | −22.6244 | − | 6.06218i | −0.839669 | − | 0.224989i | ||||
\(727\) | −15.7583 | − | 4.22243i | −0.584444 | − | 0.156601i | −0.0455314 | − | 0.998963i | \(-0.514498\pi\) |
−0.538913 | + | 0.842362i | \(0.681165\pi\) | |||||||
\(728\) | 5.46410 | + | 4.73205i | 0.202513 | + | 0.175381i | ||||
\(729\) | −27.0000 | −1.00000 | ||||||||
\(730\) | 0.928203 | + | 15.4641i | 0.0343543 | + | 0.572352i | ||||
\(731\) | − | 25.8564i | − | 0.956334i | ||||||
\(732\) | 7.60770 | + | 4.39230i | 0.281189 | + | 0.162344i | ||||
\(733\) | 30.3205 | + | 30.3205i | 1.11991 | + | 1.11991i | 0.991754 | + | 0.128160i | \(0.0409071\pi\) |
0.128160 | + | 0.991754i | \(0.459093\pi\) | |||||||
\(734\) | 5.33013 | − | 9.23205i | 0.196739 | − | 0.340761i | ||||
\(735\) | 26.5526 | − | 5.47372i | 0.979406 | − | 0.201901i | ||||
\(736\) | −13.2224 | − | 22.9019i | −0.487385 | − | 0.844176i | ||||
\(737\) | 3.26795 | − | 12.1962i | 0.120376 | − | 0.449251i | ||||
\(738\) | 4.50000 | + | 16.7942i | 0.165647 | + | 0.618204i | ||||
\(739\) | −35.3205 | − | 20.3923i | −1.29929 | − | 0.750143i | −0.319005 | − | 0.947753i | \(-0.603349\pi\) |
−0.980281 | + | 0.197610i | \(0.936682\pi\) | |||||||
\(740\) | 2.49038 | + | 0.509619i | 0.0915482 | + | 0.0187340i | ||||
\(741\) | −6.46410 | − | 24.1244i | −0.237465 | − | 0.886230i | ||||
\(742\) | −18.6603 | + | 6.46410i | −0.685039 | + | 0.237305i | ||||
\(743\) | 4.91858 | + | 18.3564i | 0.180445 | + | 0.673431i | 0.995560 | + | 0.0941313i | \(0.0300073\pi\) |
−0.815114 | + | 0.579300i | \(0.803326\pi\) | |||||||
\(744\) | 0.928203 | − | 0.928203i | 0.0340296 | − | 0.0340296i | ||||
\(745\) | 30.9282 | + | 15.4641i | 1.13312 | + | 0.566561i | ||||
\(746\) | −7.56218 | + | 13.0981i | −0.276871 | + | 0.479555i | ||||
\(747\) | −33.9904 | + | 9.10770i | −1.24364 | + | 0.333233i | ||||
\(748\) | 18.9282 | + | 18.9282i | 0.692084 | + | 0.692084i | ||||
\(749\) | 28.1603 | + | 13.6699i | 1.02895 | + | 0.499486i | ||||
\(750\) | 37.2846 | + | 3.06218i | 1.36144 | + | 0.111815i | ||||
\(751\) | 49.1244 | 1.79257 | 0.896287 | − | 0.443475i | \(-0.146255\pi\) | ||||
0.896287 | + | 0.443475i | \(0.146255\pi\) | |||||||
\(752\) | 32.7224 | + | 8.76795i | 1.19326 | + | 0.319734i | ||||
\(753\) | −3.16987 | + | 5.49038i | −0.115517 | + | 0.200081i | ||||
\(754\) | −20.0263 | + | 34.6865i | −0.729314 | + | 1.26321i | ||||
\(755\) | 17.6603 | − | 35.3205i | 0.642722 | − | 1.28544i | ||||
\(756\) | 22.5000 | − | 7.79423i | 0.818317 | − | 0.283473i | ||||
\(757\) | 6.39230 | + | 6.39230i | 0.232332 | + | 0.232332i | 0.813666 | − | 0.581333i | \(-0.197469\pi\) |
−0.581333 | + | 0.813666i | \(0.697469\pi\) | |||||||
\(758\) | −8.75833 | − | 32.6865i | −0.318117 | − | 1.18723i | ||||
\(759\) | 11.6603 | − | 3.12436i | 0.423240 | − | 0.113407i | ||||
\(760\) | −2.09808 | + | 2.36603i | −0.0761052 | + | 0.0858248i | ||||
\(761\) | 1.19615i | 0.0433605i | 0.999765 | + | 0.0216802i | \(0.00690158\pi\) | ||||
−0.999765 | + | 0.0216802i | \(0.993098\pi\) | |||||||
\(762\) | 22.7942 | + | 39.4808i | 0.825748 | + | 1.43024i | ||||
\(763\) | −10.8564 | + | 12.5359i | −0.393028 | + | 0.453830i | ||||
\(764\) | − | 16.9808i | − | 0.614342i | ||||||
\(765\) | 16.3923 | + | 49.1769i | 0.592665 | + | 1.77800i | ||||
\(766\) | −18.3564 | − | 10.5981i | −0.663244 | − | 0.382924i | ||||
\(767\) | 56.4449 | + | 56.4449i | 2.03811 | + | 2.03811i | ||||
\(768\) | − | 33.5885i | − | 1.21202i | ||||||
\(769\) | −7.40192 | + | 12.8205i | −0.266920 | + | 0.462319i | −0.968065 | − | 0.250700i | \(-0.919339\pi\) |
0.701145 | + | 0.713019i | \(0.252673\pi\) | |||||||
\(770\) | −21.1244 | − | 8.73205i | −0.761269 | − | 0.314681i | ||||
\(771\) | −0.464102 | + | 0.124356i | −0.0167142 | + | 0.00447856i | ||||
\(772\) | −0.464102 | + | 0.124356i | −0.0167034 | + | 0.00447566i | ||||
\(773\) | −44.4186 | + | 11.9019i | −1.59763 | + | 0.428082i | −0.944324 | − | 0.329016i | \(-0.893283\pi\) |
−0.653301 | + | 0.757098i | \(0.726616\pi\) | |||||||
\(774\) | 9.69615 | + | 16.7942i | 0.348521 | + | 0.603656i | ||||
\(775\) | 6.73205 | + | 2.87564i | 0.241822 | + | 0.103296i | ||||
\(776\) | −6.75833 | + | 3.90192i | −0.242610 | + | 0.140071i | ||||
\(777\) | −1.68653 | − | 2.49038i | −0.0605041 | − | 0.0893419i | ||||
\(778\) | −4.52628 | − | 16.8923i | −0.162275 | − | 0.605618i | ||||
\(779\) | − | 8.19615i | − | 0.293658i | ||||||
\(780\) | −7.09808 | + | 34.6865i | −0.254152 | + | 1.24198i | ||||
\(781\) | −9.46410 | −0.338652 | ||||||||
\(782\) | 50.2487 | + | 13.4641i | 1.79689 | + | 0.481475i | ||||
\(783\) | −10.2058 | − | 17.6769i | −0.364725 | − | 0.631721i | ||||
\(784\) | 24.5526 | − | 19.3301i | 0.876877 | − | 0.690362i | ||||
\(785\) | 15.0981 | − | 17.0263i | 0.538873 | − | 0.607694i | ||||
\(786\) | −4.39230 | + | 16.3923i | −0.156668 | + | 0.584694i | ||||
\(787\) | 51.6769 | + | 13.8468i | 1.84208 | + | 0.493585i | 0.999021 | − | 0.0442321i | \(-0.0140841\pi\) |
0.843062 | + | 0.537817i | \(0.180751\pi\) | |||||||
\(788\) | 9.46410 | + | 2.53590i | 0.337145 | + | 0.0903376i | ||||
\(789\) | 9.23205 | − | 2.47372i | 0.328670 | − | 0.0880668i | ||||
\(790\) | −13.0000 | + | 14.6603i | −0.462519 | + | 0.521588i | ||||
\(791\) | 25.8564 | − | 1.85641i | 0.919348 | − | 0.0660062i | ||||
\(792\) | 3.00000 | + | 0.803848i | 0.106600 | + | 0.0285635i | ||||
\(793\) | 14.9282 | + | 4.00000i | 0.530116 | + | 0.142044i | ||||
\(794\) | 58.6410 | 2.08109 | ||||||||
\(795\) | 11.1962 | + | 9.92820i | 0.397087 | + | 0.352117i | ||||
\(796\) | − | 7.60770i | − | 0.269648i | ||||||
\(797\) | −11.8827 | − | 44.3468i | −0.420906 | − | 1.57084i | −0.772703 | − | 0.634767i | \(-0.781096\pi\) |
0.351797 | − | 0.936076i | \(-0.385571\pi\) | |||||||
\(798\) | −24.1244 | + | 1.73205i | −0.853993 | + | 0.0613139i | ||||
\(799\) | −50.7846 | + | 29.3205i | −1.79663 | + | 1.03729i | ||||
\(800\) | 35.2128 | − | 14.1340i | 1.24496 | − | 0.499711i | ||||
\(801\) | 22.3923 | − | 38.7846i | 0.791193 | − | 1.37039i | ||||
\(802\) | −17.5263 | + | 4.69615i | −0.618874 | + | 0.165827i | ||||
\(803\) | −6.92820 | + | 1.85641i | −0.244491 | + | 0.0655112i | ||||
\(804\) | −4.90192 | + | 18.2942i | −0.172878 | + | 0.645188i | ||||
\(805\) | −20.4378 | + | 2.70577i | −0.720339 | + | 0.0953659i | ||||
\(806\) | −7.46410 | + | 12.9282i | −0.262912 | + | 0.455377i | ||||
\(807\) | 42.5885 | − | 24.5885i | 1.49918 | − | 0.865555i | ||||
\(808\) | −1.36603 | − | 1.36603i | −0.0480566 | − | 0.0480566i | ||||
\(809\) | −8.38269 | − | 4.83975i | −0.294720 | − | 0.170156i | 0.345349 | − | 0.938474i | \(-0.387761\pi\) |
−0.640068 | + | 0.768318i | \(0.721094\pi\) | |||||||
\(810\) | −29.0885 | − | 25.7942i | −1.02206 | − | 0.906317i | ||||
\(811\) | − | 24.5885i | − | 0.863418i | −0.902013 | − | 0.431709i | \(-0.857911\pi\) | ||
0.902013 | − | 0.431709i | \(-0.142089\pi\) | |||||||
\(812\) | 13.6077 | + | 11.7846i | 0.477536 | + | 0.413559i | ||||
\(813\) | −56.4449 | −1.97961 | ||||||||
\(814\) | 2.53590i | 0.0888832i | ||||||||
\(815\) | −14.2750 | + | 16.0981i | −0.500031 | + | 0.563891i | ||||
\(816\) | 42.2487 | + | 42.2487i | 1.47900 | + | 1.47900i | ||||
\(817\) | −2.36603 | − | 8.83013i | −0.0827768 | − | 0.308927i | ||||
\(818\) | 30.4904 | + | 30.4904i | 1.06607 | + | 1.06607i | ||||
\(819\) | 34.6865 | − | 23.4904i | 1.21205 | − | 0.820820i | ||||
\(820\) | −5.19615 | + | 10.3923i | −0.181458 | + | 0.362915i | ||||
\(821\) | −5.20577 | + | 9.01666i | −0.181683 | + | 0.314684i | −0.942454 | − | 0.334337i | \(-0.891488\pi\) |
0.760771 | + | 0.649020i | \(0.224821\pi\) | |||||||
\(822\) | 2.36603 | + | 4.09808i | 0.0825246 | + | 0.142937i | ||||
\(823\) | −26.7224 | − | 7.16025i | −0.931485 | − | 0.249591i | −0.238997 | − | 0.971020i | \(-0.576819\pi\) |
−0.692488 | + | 0.721429i | \(0.743485\pi\) | |||||||
\(824\) | 4.66025 | 0.162348 | ||||||||
\(825\) | 2.07180 | + | 17.1962i | 0.0721307 | + | 0.598693i | ||||
\(826\) | 64.0070 | − | 43.3468i | 2.22709 | − | 1.50823i | ||||
\(827\) | 22.8301 | + | 22.8301i | 0.793881 | + | 0.793881i | 0.982123 | − | 0.188241i | \(-0.0602788\pi\) |
−0.188241 | + | 0.982123i | \(0.560279\pi\) | |||||||
\(828\) | −17.4904 | + | 4.68653i | −0.607833 | + | 0.162868i | ||||
\(829\) | −4.83975 | + | 8.38269i | −0.168091 | + | 0.291143i | −0.937749 | − | 0.347314i | \(-0.887094\pi\) |
0.769657 | + | 0.638457i | \(0.220427\pi\) | |||||||
\(830\) | −45.3205 | − | 22.6603i | −1.57310 | − | 0.786549i | ||||
\(831\) | −5.19615 | − | 19.3923i | −0.180253 | − | 0.672712i | ||||
\(832\) | 7.83013 | + | 29.2224i | 0.271461 | + | 1.01311i | ||||
\(833\) | −6.39230 | + | 53.7128i | −0.221480 | + | 1.86104i | ||||
\(834\) | 29.7846 | − | 29.7846i | 1.03136 | − | 1.03136i | ||||
\(835\) | 7.63397 | + | 1.56218i | 0.264185 | + | 0.0540614i | ||||
\(836\) | 8.19615 | + | 4.73205i | 0.283470 | + | 0.163661i | ||||
\(837\) | −3.80385 | − | 6.58846i | −0.131480 | − | 0.227730i | ||||
\(838\) | −1.16987 | + | 4.36603i | −0.0404126 | + | 0.150822i | ||||
\(839\) | −27.6147 | − | 47.8301i | −0.953367 | − | 1.65128i | −0.738063 | − | 0.674732i | \(-0.764259\pi\) |
−0.215304 | − | 0.976547i | \(-0.569074\pi\) | |||||||
\(840\) | −4.90192 | − | 2.02628i | −0.169132 | − | 0.0699133i | ||||
\(841\) | −6.78461 | + | 11.7513i | −0.233952 | + | 0.405217i | ||||
\(842\) | −6.56218 | − | 6.56218i | −0.226148 | − | 0.226148i | ||||
\(843\) | − | 38.5692i | − | 1.32839i | ||||||
\(844\) | 22.6410i | 0.779336i | ||||||||
\(845\) | 1.99038 | + | 33.1603i | 0.0684712 | + | 1.14075i | ||||
\(846\) | 21.9904 | − | 38.0885i | 0.756045 | − | 1.30951i | ||||
\(847\) | −3.50000 | + | 18.1865i | −0.120261 | + | 0.624897i | ||||
\(848\) | 16.6603 | + | 4.46410i | 0.572115 | + | 0.153298i | ||||
\(849\) | 16.6865 | − | 16.6865i | 0.572680 | − | 0.572680i | ||||
\(850\) | −29.3205 | + | 68.6410i | −1.00569 | + | 2.35437i | ||||
\(851\) | 1.14359 | + | 1.98076i | 0.0392019 | + | 0.0678997i | ||||
\(852\) | 14.1962 | 0.486352 | ||||||||
\(853\) | 0.124356 | − | 0.464102i | 0.00425786 | − | 0.0158905i | −0.963764 | − | 0.266756i | \(-0.914048\pi\) |
0.968022 | + | 0.250865i | \(0.0807150\pi\) | |||||||
\(854\) | 6.53590 | − | 13.4641i | 0.223654 | − | 0.460732i | ||||
\(855\) | 10.0981 | + | 15.2942i | 0.345347 | + | 0.523052i | ||||
\(856\) | −3.06218 | − | 5.30385i | −0.104663 | − | 0.181282i | ||||
\(857\) | 4.92820 | − | 4.92820i | 0.168344 | − | 0.168344i | −0.617907 | − | 0.786251i | \(-0.712019\pi\) |
0.786251 | + | 0.617907i | \(0.212019\pi\) | |||||||
\(858\) | −35.3205 | −1.20582 | ||||||||
\(859\) | 10.3397 | 0.352788 | 0.176394 | − | 0.984320i | \(-0.443557\pi\) | ||||
0.176394 | + | 0.984320i | \(0.443557\pi\) | |||||||
\(860\) | −2.59808 | + | 12.6962i | −0.0885937 | + | 0.432935i | ||||
\(861\) | 12.9904 | − | 4.50000i | 0.442711 | − | 0.153360i | ||||
\(862\) | −10.2942 | + | 38.4186i | −0.350623 | + | 1.30854i | ||||
\(863\) | −37.6147 | − | 10.0788i | −1.28042 | − | 0.343088i | −0.446406 | − | 0.894830i | \(-0.647296\pi\) |
−0.834014 | + | 0.551743i | \(0.813963\pi\) | |||||||
\(864\) | −38.0885 | − | 10.2058i | −1.29580 | − | 0.347207i | ||||
\(865\) | −10.1436 | + | 49.5692i | −0.344893 | + | 1.68540i | ||||
\(866\) | −0.294229 | − | 0.169873i | −0.00999830 | − | 0.00577252i | ||||
\(867\) | −73.9808 | −2.51252 | ||||||||
\(868\) | 5.07180 | + | 4.39230i | 0.172148 | + | 0.149085i | ||||
\(869\) | −7.85641 | − | 4.53590i | −0.266510 | − | 0.153870i | ||||
\(870\) | 5.89230 | − | 28.7942i | 0.199768 | − | 0.976216i | ||||
\(871\) | 33.3205i | 1.12902i | ||||||||
\(872\) | 3.13397 | − | 0.839746i | 0.106130 | − | 0.0284374i | ||||
\(873\) | 11.7058 | + | 43.6865i | 0.396180 | + | 1.47857i | ||||
\(874\) | 18.3923 | 0.622129 | ||||||||
\(875\) | 0.303848 | − | 29.5788i | 0.0102719 | − | 0.999947i | ||||
\(876\) | 10.3923 | − | 2.78461i | 0.351123 | − | 0.0940832i | ||||
\(877\) | −9.19615 | − | 9.19615i | −0.310532 | − | 0.310532i | 0.534584 | − | 0.845116i | \(-0.320468\pi\) |
−0.845116 | + | 0.534584i | \(0.820468\pi\) | |||||||
\(878\) | 17.9282 | − | 66.9090i | 0.605048 | − | 2.25807i | ||||
\(879\) | −11.6603 | − | 3.12436i | −0.393291 | − | 0.105382i | ||||
\(880\) | 11.0000 | + | 16.6603i | 0.370810 | + | 0.561617i | ||||
\(881\) | 51.0333i | 1.71936i | 0.510836 | + | 0.859678i | \(0.329336\pi\) | ||||
−0.510836 | + | 0.859678i | \(0.670664\pi\) | |||||||
\(882\) | −15.9904 | − | 37.2846i | −0.538424 | − | 1.25544i | ||||
\(883\) | 19.4378 | − | 19.4378i | 0.654135 | − | 0.654135i | −0.299851 | − | 0.953986i | \(-0.596937\pi\) |
0.953986 | + | 0.299851i | \(0.0969370\pi\) | |||||||
\(884\) | −61.1769 | − | 35.3205i | −2.05760 | − | 1.18796i | ||||
\(885\) | −52.3923 | − | 26.1962i | −1.76115 | − | 0.880574i | ||||
\(886\) | 11.7942 | + | 20.4282i | 0.396235 | + | 0.686299i | ||||
\(887\) | −6.49038 | + | 6.49038i | −0.217926 | + | 0.217926i | −0.807624 | − | 0.589698i | \(-0.799247\pi\) |
0.589698 | + | 0.807624i | \(0.299247\pi\) | |||||||
\(888\) | 0.588457i | 0.0197473i | ||||||||
\(889\) | 29.8468 | − | 20.2128i | 1.00103 | − | 0.677916i | ||||
\(890\) | 61.1769 | − | 20.3923i | 2.05065 | − | 0.683552i | ||||
\(891\) | 9.00000 | − | 15.5885i | 0.301511 | − | 0.522233i | ||||
\(892\) | −3.40192 | − | 12.6962i | −0.113905 | − | 0.425099i | ||||
\(893\) | −14.6603 | + | 14.6603i | −0.490587 | + | 0.490587i | ||||
\(894\) | 13.3923 | − | 49.9808i | 0.447906 | − | 1.67161i | ||||
\(895\) | −2.36603 | + | 1.56218i | −0.0790875 | + | 0.0522178i | ||||
\(896\) | −10.8301 | + | 0.777568i | −0.361809 | + | 0.0259767i | ||||
\(897\) | −27.5885 | + | 15.9282i | −0.921152 | + | 0.531827i | ||||
\(898\) | −3.66987 | − | 13.6962i | −0.122465 | − | 0.457047i | ||||
\(899\) | 2.87564 | − | 4.98076i | 0.0959081 | − | 0.166118i | ||||
\(900\) | −3.10770 | − | 25.7942i | −0.103590 | − | 0.859808i | ||||
\(901\) | −25.8564 | + | 14.9282i | −0.861402 | + | 0.497331i | ||||
\(902\) | −11.1962 | − | 3.00000i | −0.372791 | − | 0.0998891i | ||||
\(903\) | 12.6962 | − | 8.59808i | 0.422501 | − | 0.286126i | ||||
\(904\) | −4.39230 | − | 2.53590i | −0.146086 | − | 0.0843427i | ||||
\(905\) | 40.2487 | + | 20.1244i | 1.33791 | + | 0.668956i | ||||
\(906\) | −57.0788 | − | 15.2942i | −1.89632 | − | 0.508117i | ||||
\(907\) | 9.36603 | + | 9.36603i | 0.310994 | + | 0.310994i | 0.845294 | − | 0.534301i | \(-0.179425\pi\) |
−0.534301 | + | 0.845294i | \(0.679425\pi\) | |||||||
\(908\) | −8.61474 | + | 32.1506i | −0.285890 | + | 1.06696i | ||||
\(909\) | −9.69615 | + | 5.59808i | −0.321601 | + | 0.185676i | ||||
\(910\) | 59.8109 | + | 7.83013i | 1.98271 | + | 0.259566i | ||||
\(911\) | −0.633975 | − | 1.09808i | −0.0210045 | − | 0.0363809i | 0.855332 | − | 0.518080i | \(-0.173353\pi\) |
−0.876337 | + | 0.481699i | \(0.840020\pi\) | |||||||
\(912\) | 18.2942 | + | 10.5622i | 0.605782 | + | 0.349749i | ||||
\(913\) | 6.07180 | − | 22.6603i | 0.200947 | − | 0.749945i | ||||
\(914\) | 54.5429 | − | 31.4904i | 1.80412 | − | 1.04161i | ||||
\(915\) | −11.3205 | + | 0.679492i | −0.374244 | + | 0.0224633i | ||||
\(916\) | 8.00962 | − | 4.62436i | 0.264645 | − | 0.152793i | ||||
\(917\) | 13.1769 | + | 2.53590i | 0.435140 | + | 0.0837427i | ||||
\(918\) | 67.1769 | − | 38.7846i | 2.21717 | − | 1.28008i | ||||
\(919\) | 16.0981 | − | 9.29423i | 0.531027 | − | 0.306588i | −0.210408 | − | 0.977614i | \(-0.567479\pi\) |
0.741434 | + | 0.671025i | \(0.234146\pi\) | |||||||
\(920\) | 3.60770 | + | 1.80385i | 0.118942 | + | 0.0594711i | ||||
\(921\) | −12.6962 | + | 3.40192i | −0.418352 | + | 0.112097i | ||||
\(922\) | 32.7583 | − | 32.7583i | 1.07884 | − | 1.07884i | ||||
\(923\) | 24.1244 | − | 6.46410i | 0.794063 | − | 0.212768i | ||||
\(924\) | −3.00000 | + | 15.5885i | −0.0986928 | + | 0.512823i | ||||
\(925\) | −3.04552 | + | 1.22243i | −0.100136 | + | 0.0401933i | ||||
\(926\) | 14.3301 | + | 24.8205i | 0.470917 | + | 0.815653i | ||||
\(927\) | 6.99038 | − | 26.0885i | 0.229594 | − | 0.856857i | ||||
\(928\) | −7.71539 | − | 28.7942i | −0.253270 | − | 0.945217i | ||||
\(929\) | −15.8923 | + | 27.5263i | −0.521410 | + | 0.903108i | 0.478280 | + | 0.878207i | \(0.341260\pi\) |
−0.999690 | + | 0.0249007i | \(0.992073\pi\) | |||||||
\(930\) | 2.19615 | − | 10.7321i | 0.0720147 | − | 0.351918i | ||||
\(931\) | 2.73205 | + | 18.9282i | 0.0895393 | + | 0.620347i | ||||
\(932\) | 21.5885 | − | 5.78461i | 0.707153 | − | 0.189481i | ||||
\(933\) | −12.3397 | −0.403985 | ||||||||
\(934\) | −5.00000 | −0.163605 | ||||||||
\(935\) | −33.8564 | − | 6.92820i | −1.10722 | − | 0.226576i | ||||
\(936\) | −8.19615 | −0.267900 | ||||||||
\(937\) | 5.53590 | − | 5.53590i | 0.180850 | − | 0.180850i | −0.610876 | − | 0.791726i | \(-0.709183\pi\) |
0.791726 | + | 0.610876i | \(0.209183\pi\) | |||||||
\(938\) | 31.6865 | + | 6.09808i | 1.03460 | + | 0.199109i | ||||
\(939\) | −3.80385 | − | 1.01924i | −0.124134 | − | 0.0332616i | ||||
\(940\) | 27.8827 | − | 9.29423i | 0.909433 | − | 0.303144i | ||||
\(941\) | −6.10770 | + | 3.52628i | −0.199105 | + | 0.114953i | −0.596238 | − | 0.802808i | \(-0.703339\pi\) |
0.397133 | + | 0.917761i | \(0.370005\pi\) | |||||||
\(942\) | −29.4904 | − | 17.0263i | −0.960849 | − | 0.554746i | ||||
\(943\) | −10.0981 | + | 2.70577i | −0.328839 | + | 0.0881120i | ||||
\(944\) | −67.5167 | −2.19748 | ||||||||
\(945\) | −18.6962 | + | 24.4019i | −0.608186 | + | 0.793795i | ||||
\(946\) | −12.9282 | −0.420332 | ||||||||
\(947\) | −6.83013 | + | 1.83013i | −0.221949 | + | 0.0594711i | −0.368080 | − | 0.929794i | \(-0.619985\pi\) |
0.146131 | + | 0.989265i | \(0.453318\pi\) | |||||||
\(948\) | 11.7846 | + | 6.80385i | 0.382746 | + | 0.220979i | ||||
\(949\) | 16.3923 | − | 9.46410i | 0.532117 | − | 0.307218i | ||||
\(950\) | −3.73205 | + | 26.1244i | −0.121084 | + | 0.847586i | ||||
\(951\) | −20.0263 | − | 5.36603i | −0.649397 | − | 0.174005i | ||||
\(952\) | 6.92820 | − | 8.00000i | 0.224544 | − | 0.259281i | ||||
\(953\) | 22.0526 | − | 22.0526i | 0.714352 | − | 0.714352i | −0.253090 | − | 0.967443i | \(-0.581447\pi\) |
0.967443 | + | 0.253090i | \(0.0814470\pi\) | |||||||
\(954\) | 11.1962 | − | 19.3923i | 0.362489 | − | 0.627849i | ||||
\(955\) | 12.0788 | + | 18.2942i | 0.390862 | + | 0.591987i | ||||
\(956\) | −3.46410 | −0.112037 | ||||||||
\(957\) | 13.6077 | 0.439874 | ||||||||
\(958\) | −32.2224 | + | 8.63397i | −1.04106 | + | 0.278951i | ||||
\(959\) | 3.09808 | − | 2.09808i | 0.100042 | − | 0.0677504i | ||||
\(960\) | −12.2321 | − | 18.5263i | −0.394788 | − | 0.597933i | ||||
\(961\) | −14.4282 | + | 24.9904i | −0.465426 | + | 0.806141i | ||||
\(962\) | −1.73205 | − | 6.46410i | −0.0558436 | − | 0.208411i | ||||
\(963\) | −34.2846 | + | 9.18653i | −1.10481 | + | 0.296032i | ||||
\(964\) | 19.4545 | + | 33.6962i | 0.626587 | + | 1.08528i | ||||
\(965\) | 0.411543 | − | 0.464102i | 0.0132480 | − | 0.0149400i | ||||
\(966\) | 10.0981 | + | 29.1506i | 0.324900 | + | 0.937906i | ||||
\(967\) | −51.0788 | + | 13.6865i | −1.64258 | + | 0.440129i | −0.957523 | − | 0.288356i | \(-0.906891\pi\) |
−0.685061 | + | 0.728485i | \(0.740225\pi\) | |||||||
\(968\) | 2.56218 | − | 2.56218i | 0.0823515 | − | 0.0823515i | ||||
\(969\) | −35.3205 | + | 9.46410i | −1.13466 | + | 0.304031i | ||||
\(970\) | −29.1244 | + | 58.2487i | −0.935127 | + | 1.87025i | ||||
\(971\) | −13.2224 | + | 7.63397i | −0.424328 | + | 0.244986i | −0.696927 | − | 0.717142i | \(-0.745450\pi\) |
0.272599 | + | 0.962128i | \(0.412117\pi\) | |||||||
\(972\) | −13.5000 | + | 23.3827i | −0.433013 | + | 0.750000i | ||||
\(973\) | −25.1769 | − | 21.8038i | −0.807135 | − | 0.698999i | ||||
\(974\) | −51.5429 | + | 29.7583i | −1.65154 | + | 0.953518i | ||||
\(975\) | −17.0263 | − | 42.4186i | −0.545277 | − | 1.35848i | ||||
\(976\) | −11.3205 | + | 6.53590i | −0.362361 | + | 0.209209i | ||||
\(977\) | −10.3205 | + | 38.5167i | −0.330182 | + | 1.23226i | 0.578816 | + | 0.815458i | \(0.303515\pi\) |
−0.908999 | + | 0.416799i | \(0.863152\pi\) | |||||||
\(978\) | 27.8827 | + | 16.0981i | 0.891590 | + | 0.514760i | ||||
\(979\) | 14.9282 | + | 25.8564i | 0.477107 | + | 0.826374i | ||||
\(980\) | 8.53590 | − | 25.7321i | 0.272669 | − | 0.821980i | ||||
\(981\) | − | 18.8038i | − | 0.600361i | ||||||
\(982\) | 8.29423 | − | 30.9545i | 0.264679 | − | 0.987797i | ||||
\(983\) | 20.9737 | + | 20.9737i | 0.668958 | + | 0.668958i | 0.957475 | − | 0.288517i | \(-0.0931622\pi\) |
−0.288517 | + | 0.957475i | \(0.593162\pi\) | |||||||
\(984\) | −2.59808 | − | 0.696152i | −0.0828236 | − | 0.0221925i | ||||
\(985\) | −12.0000 | + | 4.00000i | −0.382352 | + | 0.127451i | ||||
\(986\) | 50.7846 | + | 29.3205i | 1.61731 | + | 0.933755i | ||||
\(987\) | −31.2846 | − | 15.1865i | −0.995800 | − | 0.483393i | ||||
\(988\) | −24.1244 | − | 6.46410i | −0.767498 | − | 0.205650i | ||||
\(989\) | −10.0981 | + | 5.83013i | −0.321100 | + | 0.185387i | ||||
\(990\) | 24.5885 | − | 8.19615i | 0.781472 | − | 0.260491i | ||||
\(991\) | 4.00000 | − | 6.92820i | 0.127064 | − | 0.220082i | −0.795474 | − | 0.605988i | \(-0.792778\pi\) |
0.922538 | + | 0.385906i | \(0.126111\pi\) | |||||||
\(992\) | −2.87564 | − | 10.7321i | −0.0913018 | − | 0.340743i | ||||
\(993\) | 9.00000 | − | 5.19615i | 0.285606 | − | 0.164895i | ||||
\(994\) | −1.73205 | − | 24.1244i | −0.0549373 | − | 0.765178i | ||||
\(995\) | 5.41154 | + | 8.19615i | 0.171557 | + | 0.259835i | ||||
\(996\) | −9.10770 | + | 33.9904i | −0.288588 | + | 1.07703i | ||||
\(997\) | 35.1962 | − | 35.1962i | 1.11467 | − | 1.11467i | 0.122163 | − | 0.992510i | \(-0.461017\pi\) |
0.992510 | − | 0.122163i | \(-0.0389832\pi\) | |||||||
\(998\) | 8.80385 | + | 32.8564i | 0.278681 | + | 1.04005i | ||||
\(999\) | 3.29423 | + | 0.882686i | 0.104225 | + | 0.0279269i |
(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.d.157.1 | yes | 4 | |
3.2 | odd | 2 | 945.2.cj.b.577.1 | 4 | |||
5.3 | odd | 4 | 315.2.cg.b.283.1 | yes | 4 | ||
7.5 | odd | 6 | 315.2.bs.d.292.1 | yes | 4 | ||
9.2 | odd | 6 | 945.2.bv.b.262.1 | 4 | |||
9.7 | even | 3 | 315.2.bs.a.52.1 | ✓ | 4 | ||
15.8 | even | 4 | 945.2.cj.c.388.1 | 4 | |||
21.5 | even | 6 | 945.2.bv.c.712.1 | 4 | |||
35.33 | even | 12 | 315.2.bs.a.103.1 | yes | 4 | ||
45.38 | even | 12 | 945.2.bv.c.73.1 | 4 | |||
45.43 | odd | 12 | 315.2.bs.d.178.1 | yes | 4 | ||
63.47 | even | 6 | 945.2.cj.c.397.1 | 4 | |||
63.61 | odd | 6 | 315.2.cg.b.187.1 | yes | 4 | ||
105.68 | odd | 12 | 945.2.bv.b.523.1 | 4 | |||
315.173 | odd | 12 | 945.2.cj.b.208.1 | 4 | |||
315.313 | even | 12 | inner | 315.2.cg.d.313.1 | yes | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.bs.a.52.1 | ✓ | 4 | 9.7 | even | 3 | ||
315.2.bs.a.103.1 | yes | 4 | 35.33 | even | 12 | ||
315.2.bs.d.178.1 | yes | 4 | 45.43 | odd | 12 | ||
315.2.bs.d.292.1 | yes | 4 | 7.5 | odd | 6 | ||
315.2.cg.b.187.1 | yes | 4 | 63.61 | odd | 6 | ||
315.2.cg.b.283.1 | yes | 4 | 5.3 | odd | 4 | ||
315.2.cg.d.157.1 | yes | 4 | 1.1 | even | 1 | trivial | |
315.2.cg.d.313.1 | yes | 4 | 315.313 | even | 12 | inner | |
945.2.bv.b.262.1 | 4 | 9.2 | odd | 6 | |||
945.2.bv.b.523.1 | 4 | 105.68 | odd | 12 | |||
945.2.bv.c.73.1 | 4 | 45.38 | even | 12 | |||
945.2.bv.c.712.1 | 4 | 21.5 | even | 6 | |||
945.2.cj.b.208.1 | 4 | 315.173 | odd | 12 | |||
945.2.cj.b.577.1 | 4 | 3.2 | odd | 2 | |||
945.2.cj.c.388.1 | 4 | 15.8 | even | 4 | |||
945.2.cj.c.397.1 | 4 | 63.47 | even | 6 |