Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [504,2,Mod(269,504)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(504, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("504.269");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 504.ch (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.02446026187\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 269.10 | ||
Character | \(\chi\) | \(=\) | 504.269 |
Dual form | 504.2.ch.b.341.10 |
$q$-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 \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(127\) | \(253\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.593556 | + | 1.28362i | −0.419708 | + | 0.907659i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.29538 | − | 1.52381i | −0.647691 | − | 0.761903i | ||||
\(5\) | −1.87230 | + | 1.08097i | −0.837318 | + | 0.483426i | −0.856352 | − | 0.516393i | \(-0.827274\pi\) |
0.0190339 | + | 0.999819i | \(0.493941\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.55958 | + | 0.669737i | 0.967431 | + | 0.253137i | ||||
\(8\) | 2.72488 | − | 0.758320i | 0.963389 | − | 0.268107i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.276248 | − | 3.04495i | −0.0873572 | − | 0.962897i | ||||
\(11\) | −1.67157 | + | 2.89525i | −0.503998 | + | 0.872949i | 0.495992 | + | 0.868327i | \(0.334805\pi\) |
−0.999989 | + | 0.00462217i | \(0.998529\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.74247 | −0.483274 | −0.241637 | − | 0.970367i | \(-0.577684\pi\) | ||||
−0.241637 | + | 0.970367i | \(0.577684\pi\) | |||||||
\(14\) | −2.37895 | + | 2.88801i | −0.635800 | + | 0.771854i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.643969 | + | 3.94782i | −0.160992 | + | 0.986956i | ||||
\(17\) | −0.283937 | + | 0.491793i | −0.0688648 | + | 0.119277i | −0.898402 | − | 0.439174i | \(-0.855271\pi\) |
0.829537 | + | 0.558452i | \(0.188604\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.270105 | + | 0.467836i | 0.0619664 | + | 0.107329i | 0.895344 | − | 0.445375i | \(-0.146929\pi\) |
−0.833378 | + | 0.552704i | \(0.813596\pi\) | |||||||
\(20\) | 4.07254 | + | 1.45275i | 0.910647 | + | 0.324844i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.72424 | − | 3.86416i | −0.580809 | − | 0.823842i | ||||
\(23\) | −5.21616 | + | 3.01155i | −1.08764 | + | 0.627952i | −0.932948 | − | 0.360010i | \(-0.882773\pi\) |
−0.154696 | + | 0.987962i | \(0.549440\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.162997 | + | 0.282319i | −0.0325994 | + | 0.0564638i | ||||
\(26\) | 1.03425 | − | 2.23667i | 0.202834 | − | 0.438648i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.29509 | − | 4.76787i | −0.433731 | − | 0.901043i | ||||
\(29\) | −1.77912 | −0.330374 | −0.165187 | − | 0.986262i | \(-0.552823\pi\) | ||||
−0.165187 | + | 0.986262i | \(0.552823\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −6.56726 | − | 3.79161i | −1.17952 | − | 0.680993i | −0.223613 | − | 0.974678i | \(-0.571785\pi\) |
−0.955902 | + | 0.293685i | \(0.905118\pi\) | |||||||
\(32\) | −4.68529 | − | 3.16987i | −0.828250 | − | 0.560359i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.462745 | − | 0.656375i | −0.0793601 | − | 0.112567i | ||||
\(35\) | −5.51627 | + | 1.51289i | −0.932419 | + | 0.255725i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −9.60029 | + | 5.54273i | −1.57828 | + | 0.911219i | −0.583177 | + | 0.812345i | \(0.698191\pi\) |
−0.995100 | + | 0.0988741i | \(0.968476\pi\) | |||||||
\(38\) | −0.760849 | + | 0.0690267i | −0.123426 | + | 0.0111976i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −4.28206 | + | 4.36532i | −0.677053 | + | 0.690217i | ||||
\(41\) | 7.77201 | 1.21378 | 0.606892 | − | 0.794785i | \(-0.292416\pi\) | ||||
0.606892 | + | 0.794785i | \(0.292416\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 1.80152i | − | 0.274730i | −0.990521 | − | 0.137365i | \(-0.956137\pi\) | ||
0.990521 | − | 0.137365i | \(-0.0438633\pi\) | |||||||
\(44\) | 6.57712 | − | 1.20330i | 0.991538 | − | 0.181404i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.769617 | − | 8.48312i | −0.113474 | − | 1.25077i | ||||
\(47\) | 0.679499 | + | 1.17693i | 0.0991151 | + | 0.171672i | 0.911319 | − | 0.411702i | \(-0.135065\pi\) |
−0.812204 | + | 0.583374i | \(0.801732\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.10291 | + | 3.42849i | 0.871844 | + | 0.489784i | ||||
\(50\) | −0.265644 | − | 0.376799i | −0.0375677 | − | 0.0532874i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.25716 | + | 2.65518i | 0.313012 | + | 0.368208i | ||||
\(53\) | −1.46832 | + | 2.54321i | −0.201689 | + | 0.349336i | −0.949073 | − | 0.315057i | \(-0.897977\pi\) |
0.747383 | + | 0.664393i | \(0.231310\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 7.22769i | − | 0.974581i | ||||||
\(56\) | 7.48242 | − | 0.116030i | 0.999880 | − | 0.0155052i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 1.05601 | − | 2.28372i | 0.138661 | − | 0.299867i | ||||
\(59\) | −9.84763 | − | 5.68553i | −1.28205 | − | 0.740194i | −0.304830 | − | 0.952407i | \(-0.598599\pi\) |
−0.977223 | + | 0.212213i | \(0.931933\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.60858 | + | 9.71434i | 0.718105 | + | 1.24379i | 0.961750 | + | 0.273929i | \(0.0883234\pi\) |
−0.243645 | + | 0.969864i | \(0.578343\pi\) | |||||||
\(62\) | 8.76504 | − | 6.17936i | 1.11316 | − | 0.784780i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 6.84990 | − | 4.13265i | 0.856238 | − | 0.516582i | ||||
\(65\) | 3.26242 | − | 1.88356i | 0.404654 | − | 0.233627i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 10.7563 | + | 6.21014i | 1.31409 | + | 0.758689i | 0.982770 | − | 0.184830i | \(-0.0591736\pi\) |
0.331317 | + | 0.943519i | \(0.392507\pi\) | |||||||
\(68\) | 1.11720 | − | 0.204395i | 0.135481 | − | 0.0247866i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.33223 | − | 7.97880i | 0.159232 | − | 0.953649i | ||||
\(71\) | 7.79753i | 0.925397i | 0.886516 | + | 0.462698i | \(0.153119\pi\) | ||||
−0.886516 | + | 0.462698i | \(0.846881\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 7.56066 | + | 4.36515i | 0.884909 | + | 0.510902i | 0.872274 | − | 0.489018i | \(-0.162645\pi\) |
0.0126348 | + | 0.999920i | \(0.495978\pi\) | |||||||
\(74\) | −1.41647 | − | 15.6131i | −0.164661 | − | 1.81498i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.363002 | − | 1.01761i | 0.0416392 | − | 0.116728i | ||||
\(77\) | −6.21757 | + | 6.29110i | −0.708558 | + | 0.716938i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −4.77913 | − | 8.27770i | −0.537694 | − | 0.931314i | −0.999028 | − | 0.0440870i | \(-0.985962\pi\) |
0.461333 | − | 0.887227i | \(-0.347371\pi\) | |||||||
\(80\) | −3.06178 | − | 8.08762i | −0.342318 | − | 0.904223i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −4.61312 | + | 9.97633i | −0.509434 | + | 1.10170i | ||||
\(83\) | − | 15.9958i | − | 1.75577i | −0.478875 | − | 0.877883i | \(-0.658955\pi\) | ||
0.478875 | − | 0.877883i | \(-0.341045\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | − | 1.22771i | − | 0.133164i | ||||||
\(86\) | 2.31248 | + | 1.06931i | 0.249361 | + | 0.115306i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −2.35930 | + | 9.15677i | −0.251502 | + | 0.976115i | ||||
\(89\) | −6.30930 | − | 10.9280i | −0.668784 | − | 1.15837i | −0.978244 | − | 0.207456i | \(-0.933482\pi\) |
0.309460 | − | 0.950912i | \(-0.399852\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −4.45999 | − | 1.16699i | −0.467534 | − | 0.122334i | ||||
\(92\) | 11.3459 | + | 4.04731i | 1.18290 | + | 0.421961i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −1.91405 | + | 0.173649i | −0.197419 | + | 0.0179106i | ||||
\(95\) | −1.01144 | − | 0.583953i | −0.103771 | − | 0.0599123i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 16.4013i | 1.66530i | 0.553802 | + | 0.832649i | \(0.313177\pi\) | ||||
−0.553802 | + | 0.832649i | \(0.686823\pi\) | |||||||
\(98\) | −8.02331 | + | 5.79884i | −0.810477 | + | 0.585771i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.641343 | − | 0.117335i | 0.0641343 | − | 0.0117335i | ||||
\(101\) | 13.4514 | + | 7.76615i | 1.33846 | + | 0.772761i | 0.986579 | − | 0.163283i | \(-0.0522084\pi\) |
0.351882 | + | 0.936044i | \(0.385542\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.69281 | + | 2.70939i | −0.462396 | + | 0.266964i | −0.713051 | − | 0.701112i | \(-0.752687\pi\) |
0.250655 | + | 0.968076i | \(0.419354\pi\) | |||||||
\(104\) | −4.74801 | + | 1.32135i | −0.465581 | + | 0.129569i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −2.39299 | − | 3.39431i | −0.232428 | − | 0.329684i | ||||
\(107\) | 1.85983 | + | 3.22131i | 0.179796 | + | 0.311416i | 0.941811 | − | 0.336144i | \(-0.109123\pi\) |
−0.762014 | + | 0.647560i | \(0.775790\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.72483 | + | 3.30523i | 0.548340 | + | 0.316584i | 0.748452 | − | 0.663189i | \(-0.230797\pi\) |
−0.200112 | + | 0.979773i | \(0.564131\pi\) | |||||||
\(110\) | 9.27764 | + | 4.29004i | 0.884588 | + | 0.409039i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −4.29229 | + | 9.67348i | −0.405584 | + | 0.914058i | ||||
\(113\) | 4.32161i | 0.406543i | 0.979122 | + | 0.203272i | \(0.0651575\pi\) | ||||
−0.979122 | + | 0.203272i | \(0.934843\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 6.51081 | − | 11.2771i | 0.607136 | − | 1.05159i | ||||
\(116\) | 2.30464 | + | 2.71103i | 0.213981 | + | 0.251713i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 13.1432 | − | 9.26598i | 1.20993 | − | 0.853002i | ||||
\(119\) | −1.05613 | + | 1.06862i | −0.0968154 | + | 0.0979603i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.0882982 | − | 0.152937i | −0.00802711 | − | 0.0139034i | ||||
\(122\) | −15.7986 | + | 1.43330i | −1.43033 | + | 0.129765i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 2.72944 | + | 14.9188i | 0.245111 | + | 1.33975i | ||||
\(125\) | − | 11.5145i | − | 1.02989i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.96976 | 0.618467 | 0.309233 | − | 0.950986i | \(-0.399928\pi\) | ||||
0.309233 | + | 0.950986i | \(0.399928\pi\) | |||||||
\(128\) | 1.23897 | + | 11.2457i | 0.109511 | + | 0.993986i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.481353 | + | 5.30572i | 0.0422174 | + | 0.465343i | ||||
\(131\) | 7.62582 | − | 4.40277i | 0.666271 | − | 0.384672i | −0.128391 | − | 0.991724i | \(-0.540981\pi\) |
0.794662 | + | 0.607052i | \(0.207648\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.378029 | + | 1.37836i | 0.0327793 | + | 0.119519i | ||||
\(134\) | −14.3559 | + | 10.1209i | −1.24016 | + | 0.874317i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.400756 | + | 1.55539i | −0.0343646 | + | 0.133374i | ||||
\(137\) | 14.5256 | + | 8.38635i | 1.24100 | + | 0.716494i | 0.969299 | − | 0.245887i | \(-0.0790791\pi\) |
0.271705 | + | 0.962381i | \(0.412412\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 10.3308 | 0.876249 | 0.438124 | − | 0.898914i | \(-0.355643\pi\) | ||||
0.438124 | + | 0.898914i | \(0.355643\pi\) | |||||||
\(140\) | 9.45102 | + | 6.44595i | 0.798757 | + | 0.544782i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −10.0091 | − | 4.62827i | −0.839945 | − | 0.388396i | ||||
\(143\) | 2.91266 | − | 5.04487i | 0.243569 | − | 0.421873i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 3.33105 | − | 1.92318i | 0.276628 | − | 0.159711i | ||||
\(146\) | −10.0909 | + | 7.11409i | −0.835128 | + | 0.588766i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 20.8821 | + | 7.44902i | 1.71650 | + | 0.612306i | ||||
\(149\) | 2.10661 | + | 3.64876i | 0.172580 | + | 0.298918i | 0.939321 | − | 0.343039i | \(-0.111456\pi\) |
−0.766741 | + | 0.641957i | \(0.778123\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.10493 | + | 5.37790i | −0.252676 | + | 0.437647i | −0.964262 | − | 0.264952i | \(-0.914644\pi\) |
0.711586 | + | 0.702599i | \(0.247977\pi\) | |||||||
\(152\) | 1.09077 | + | 1.06997i | 0.0884734 | + | 0.0867860i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −4.38493 | − | 11.7151i | −0.353348 | − | 0.944034i | ||||
\(155\) | 16.3945 | 1.31684 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 10.3210 | − | 17.8764i | 0.823702 | − | 1.42669i | −0.0792057 | − | 0.996858i | \(-0.525238\pi\) |
0.902907 | − | 0.429835i | \(-0.141428\pi\) | |||||||
\(158\) | 13.4621 | − | 1.22133i | 1.07099 | − | 0.0971638i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 12.1988 | + | 0.870275i | 0.964400 | + | 0.0688013i | ||||
\(161\) | −15.3681 | + | 4.21486i | −1.21118 | + | 0.332177i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.56609 | + | 2.05888i | −0.279317 | + | 0.161264i | −0.633114 | − | 0.774058i | \(-0.718224\pi\) |
0.353797 | + | 0.935322i | \(0.384890\pi\) | |||||||
\(164\) | −10.0677 | − | 11.8430i | −0.786157 | − | 0.924785i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 20.5326 | + | 9.49440i | 1.59364 | + | 0.736908i | ||||
\(167\) | −13.2654 | −1.02651 | −0.513253 | − | 0.858237i | \(-0.671560\pi\) | ||||
−0.513253 | + | 0.858237i | \(0.671560\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −9.96381 | −0.766447 | ||||||||
\(170\) | 1.57592 | + | 0.728716i | 0.120868 | + | 0.0558899i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −2.74517 | + | 2.33366i | −0.209317 | + | 0.177940i | ||||
\(173\) | 19.4886 | − | 11.2517i | 1.48169 | − | 0.855453i | 0.481903 | − | 0.876225i | \(-0.339946\pi\) |
0.999784 | + | 0.0207720i | \(0.00661242\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.606283 | + | 0.613453i | −0.0458307 | + | 0.0463727i | ||||
\(176\) | −10.3535 | − | 8.46352i | −0.780423 | − | 0.637961i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 17.7724 | − | 1.61237i | 1.33210 | − | 0.120852i | ||||
\(179\) | −9.63774 | + | 16.6931i | −0.720358 | + | 1.24770i | 0.240498 | + | 0.970650i | \(0.422689\pi\) |
−0.960856 | + | 0.277048i | \(0.910644\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −22.3500 | −1.66126 | −0.830631 | − | 0.556823i | \(-0.812020\pi\) | ||||
−0.830631 | + | 0.556823i | \(0.812020\pi\) | |||||||
\(182\) | 4.14524 | − | 5.03227i | 0.307265 | − | 0.373017i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −11.9297 | + | 12.1616i | −0.879467 | + | 0.896567i | ||||
\(185\) | 11.9831 | − | 20.7553i | 0.881013 | − | 1.52596i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.949241 | − | 1.64413i | −0.0694154 | − | 0.120231i | ||||
\(188\) | 0.913197 | − | 2.55999i | 0.0666017 | − | 0.186707i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1.34992 | − | 0.951695i | 0.0979335 | − | 0.0690432i | ||||
\(191\) | −5.69175 | + | 3.28613i | −0.411841 | + | 0.237776i | −0.691580 | − | 0.722300i | \(-0.743085\pi\) |
0.279740 | + | 0.960076i | \(0.409752\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 3.70334 | − | 6.41438i | 0.266572 | − | 0.461717i | −0.701402 | − | 0.712766i | \(-0.747442\pi\) |
0.967974 | + | 0.251049i | \(0.0807755\pi\) | |||||||
\(194\) | −21.0531 | − | 9.73508i | −1.51152 | − | 0.698938i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2.68124 | − | 13.7408i | −0.191517 | − | 0.981489i | ||||
\(197\) | −1.80322 | −0.128474 | −0.0642371 | − | 0.997935i | \(-0.520461\pi\) | ||||
−0.0642371 | + | 0.997935i | \(0.520461\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −7.72728 | − | 4.46135i | −0.547772 | − | 0.316257i | 0.200451 | − | 0.979704i | \(-0.435759\pi\) |
−0.748223 | + | 0.663447i | \(0.769093\pi\) | |||||||
\(200\) | −0.230059 | + | 0.892888i | −0.0162676 | + | 0.0631367i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −17.9530 | + | 12.6569i | −1.26317 | + | 0.890534i | ||||
\(203\) | −4.55380 | − | 1.19154i | −0.319614 | − | 0.0836299i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −14.5515 | + | 8.40132i | −1.01632 | + | 0.586774i | ||||
\(206\) | −0.692398 | − | 7.63197i | −0.0482417 | − | 0.531745i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 1.12210 | − | 6.87895i | 0.0778034 | − | 0.476970i | ||||
\(209\) | −1.80600 | −0.124924 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 11.3878i | − | 0.783969i | −0.919972 | − | 0.391985i | \(-0.871789\pi\) | ||
0.919972 | − | 0.391985i | \(-0.128211\pi\) | |||||||
\(212\) | 5.77739 | − | 1.05699i | 0.396793 | − | 0.0725943i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −5.23887 | + | 0.475288i | −0.358122 | + | 0.0324900i | ||||
\(215\) | 1.94740 | + | 3.37299i | 0.132811 | + | 0.230036i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −14.2701 | − | 14.1033i | −0.968715 | − | 0.957393i | ||||
\(218\) | −7.64069 | + | 5.38669i | −0.517493 | + | 0.364833i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −11.0136 | + | 9.36262i | −0.742536 | + | 0.631228i | ||||
\(221\) | 0.494751 | − | 0.856933i | 0.0332805 | − | 0.0576436i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | − | 4.90035i | − | 0.328151i | −0.986448 | − | 0.164076i | \(-0.947536\pi\) | ||
0.986448 | − | 0.164076i | \(-0.0524641\pi\) | |||||||
\(224\) | −9.86940 | − | 11.2514i | −0.659427 | − | 0.751769i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −5.54733 | − | 2.56512i | −0.369003 | − | 0.170629i | ||||
\(227\) | 18.4585 | + | 10.6570i | 1.22514 | + | 0.707332i | 0.966008 | − | 0.258511i | \(-0.0832319\pi\) |
0.259127 | + | 0.965843i | \(0.416565\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −1.59915 | − | 2.76981i | −0.105675 | − | 0.183034i | 0.808339 | − | 0.588717i | \(-0.200367\pi\) |
−0.914014 | + | 0.405683i | \(0.867034\pi\) | |||||||
\(230\) | 10.6110 | + | 15.0510i | 0.699667 | + | 0.992433i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −4.84788 | + | 1.34914i | −0.318279 | + | 0.0885755i | ||||
\(233\) | 3.35808 | − | 1.93879i | 0.219995 | − | 0.127014i | −0.385953 | − | 0.922518i | \(-0.626127\pi\) |
0.605948 | + | 0.795504i | \(0.292794\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −2.54445 | − | 1.46904i | −0.165982 | − | 0.0958295i | ||||
\(236\) | 4.09280 | + | 22.3708i | 0.266419 | + | 1.45622i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.744834 | − | 1.98996i | −0.0482804 | − | 0.128990i | ||||
\(239\) | − | 22.1432i | − | 1.43233i | −0.697933 | − | 0.716163i | \(-0.745897\pi\) | ||
0.697933 | − | 0.716163i | \(-0.254103\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 6.23397 | + | 3.59918i | 0.401565 | + | 0.231844i | 0.687159 | − | 0.726507i | \(-0.258858\pi\) |
−0.285594 | + | 0.958351i | \(0.592191\pi\) | |||||||
\(242\) | 0.248724 | − | 0.0225650i | 0.0159886 | − | 0.00145054i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 7.53752 | − | 21.1302i | 0.482540 | − | 1.35272i | ||||
\(245\) | −15.1326 | + | 0.177912i | −0.966784 | + | 0.0113664i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.470650 | − | 0.815190i | −0.0299467 | − | 0.0518693i | ||||
\(248\) | −20.7702 | − | 5.35159i | −1.31891 | − | 0.339826i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 14.7803 | + | 6.83451i | 0.934788 | + | 0.432252i | ||||
\(251\) | − | 9.58773i | − | 0.605172i | −0.953122 | − | 0.302586i | \(-0.902150\pi\) | ||
0.953122 | − | 0.302586i | \(-0.0978500\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 20.1361i | − | 1.26595i | ||||||
\(254\) | −4.13695 | + | 8.94656i | −0.259575 | + | 0.561357i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −15.1706 | − | 5.08455i | −0.948163 | − | 0.317785i | ||||
\(257\) | 4.33124 | + | 7.50192i | 0.270175 | + | 0.467957i | 0.968907 | − | 0.247427i | \(-0.0795851\pi\) |
−0.698731 | + | 0.715384i | \(0.746252\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −28.2849 | + | 7.75739i | −1.75754 | + | 0.482021i | ||||
\(260\) | −7.09626 | − | 2.53137i | −0.440092 | − | 0.156989i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 1.12515 | + | 12.4020i | 0.0695120 | + | 0.766197i | ||||
\(263\) | 5.39801 | + | 3.11654i | 0.332855 | + | 0.192174i | 0.657108 | − | 0.753796i | \(-0.271780\pi\) |
−0.324253 | + | 0.945970i | \(0.605113\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | − | 6.34886i | − | 0.390007i | ||||||
\(266\) | −1.99368 | − | 0.332889i | −0.122241 | − | 0.0204107i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −4.47044 | − | 24.4350i | −0.273076 | − | 1.49260i | ||||
\(269\) | 9.46950 | + | 5.46722i | 0.577366 | + | 0.333342i | 0.760086 | − | 0.649823i | \(-0.225157\pi\) |
−0.182720 | + | 0.983165i | \(0.558490\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −18.1322 | + | 10.4687i | −1.10145 | + | 0.635925i | −0.936603 | − | 0.350393i | \(-0.886048\pi\) |
−0.164852 | + | 0.986318i | \(0.552715\pi\) | |||||||
\(272\) | −1.75866 | − | 1.43763i | −0.106635 | − | 0.0871692i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −19.3867 | + | 13.6676i | −1.17119 | + | 0.825691i | ||||
\(275\) | −0.544922 | − | 0.943833i | −0.0328600 | − | 0.0569152i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 3.80313 | + | 2.19574i | 0.228508 | + | 0.131929i | 0.609884 | − | 0.792491i | \(-0.291216\pi\) |
−0.381376 | + | 0.924420i | \(0.624550\pi\) | |||||||
\(278\) | −6.13192 | + | 13.2609i | −0.367768 | + | 0.795335i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −13.8839 | + | 8.30553i | −0.829721 | + | 0.496350i | ||||
\(281\) | − | 7.93386i | − | 0.473295i | −0.971596 | − | 0.236647i | \(-0.923951\pi\) | ||
0.971596 | − | 0.236647i | \(-0.0760486\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 15.1600 | − | 26.2580i | 0.901171 | − | 1.56087i | 0.0751951 | − | 0.997169i | \(-0.476042\pi\) |
0.825976 | − | 0.563705i | \(-0.190625\pi\) | |||||||
\(284\) | 11.8819 | − | 10.1008i | 0.705063 | − | 0.599371i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 4.74689 | + | 6.73317i | 0.280690 | + | 0.398141i | ||||
\(287\) | 19.8931 | + | 5.20520i | 1.17425 | + | 0.307253i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.33876 | + | 14.4432i | 0.490515 | + | 0.849597i | ||||
\(290\) | 0.491478 | + | 5.41733i | 0.0288606 | + | 0.318116i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −3.14231 | − | 17.1755i | −0.183890 | − | 1.00512i | ||||
\(293\) | 4.34894i | 0.254068i | 0.991898 | + | 0.127034i | \(0.0405457\pi\) | ||||
−0.991898 | + | 0.127034i | \(0.959454\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 24.5836 | 1.43131 | ||||||||
\(296\) | −21.9564 | + | 22.3833i | −1.27619 | + | 1.30100i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −5.93403 | + | 0.538355i | −0.343749 | + | 0.0311861i | ||||
\(299\) | 9.08899 | − | 5.24753i | 0.525630 | − | 0.303473i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.20655 | − | 4.61115i | 0.0695442 | − | 0.265782i | ||||
\(302\) | −5.06025 | − | 7.17764i | −0.291184 | − | 0.413027i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −2.02087 | + | 0.765056i | −0.115905 | + | 0.0438790i | ||||
\(305\) | −21.0019 | − | 12.1254i | −1.20256 | − | 0.694300i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −4.81287 | −0.274685 | −0.137343 | − | 0.990524i | \(-0.543856\pi\) | ||||
−0.137343 | + | 0.990524i | \(0.543856\pi\) | |||||||
\(308\) | 17.6406 | + | 1.32499i | 1.00516 | + | 0.0754985i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −9.73106 | + | 21.0444i | −0.552687 | + | 1.19524i | ||||
\(311\) | 3.96879 | − | 6.87414i | 0.225049 | − | 0.389797i | −0.731285 | − | 0.682072i | \(-0.761079\pi\) |
0.956334 | + | 0.292275i | \(0.0944123\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1.95587 | − | 1.12922i | 0.110552 | − | 0.0638273i | −0.443704 | − | 0.896173i | \(-0.646336\pi\) |
0.554257 | + | 0.832346i | \(0.313003\pi\) | |||||||
\(314\) | 16.8205 | + | 23.8589i | 0.949238 | + | 1.34643i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −6.42280 | + | 18.0053i | −0.361311 | + | 1.01287i | ||||
\(317\) | 3.72820 | + | 6.45744i | 0.209397 | + | 0.362686i | 0.951525 | − | 0.307572i | \(-0.0995167\pi\) |
−0.742128 | + | 0.670258i | \(0.766183\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 2.97393 | − | 5.15099i | 0.166508 | − | 0.288400i | ||||
\(320\) | −8.35778 | + | 15.1421i | −0.467214 | + | 0.846470i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 3.71156 | − | 22.2287i | 0.206837 | − | 1.23875i | ||||
\(323\) | −0.306771 | −0.0170692 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.284017 | − | 0.491932i | 0.0157544 | − | 0.0272875i | ||||
\(326\) | −0.526157 | − | 5.79957i | −0.0291411 | − | 0.321209i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 21.1778 | − | 5.89366i | 1.16935 | − | 0.325423i | ||||
\(329\) | 0.951001 | + | 3.46752i | 0.0524304 | + | 0.191171i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −19.5260 | + | 11.2733i | −1.07325 | + | 0.619639i | −0.929067 | − | 0.369912i | \(-0.879388\pi\) |
−0.144180 | + | 0.989551i | \(0.546054\pi\) | |||||||
\(332\) | −24.3745 | + | 20.7207i | −1.33772 | + | 1.13719i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 7.87375 | − | 17.0278i | 0.430832 | − | 0.931718i | ||||
\(335\) | −26.8519 | −1.46708 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −25.9907 | −1.41580 | −0.707901 | − | 0.706312i | \(-0.750358\pi\) | ||||
−0.707901 | + | 0.706312i | \(0.750358\pi\) | |||||||
\(338\) | 5.91408 | − | 12.7898i | 0.321683 | − | 0.695672i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −1.87079 | + | 1.59036i | −0.101458 | + | 0.0862491i | ||||
\(341\) | 21.9553 | − | 12.6759i | 1.18895 | − | 0.686438i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 13.3247 | + | 12.8628i | 0.719466 | + | 0.694528i | ||||
\(344\) | −1.36613 | − | 4.90893i | −0.0736568 | − | 0.264672i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 2.87543 | + | 31.6945i | 0.154584 | + | 1.70391i | ||||
\(347\) | −7.86526 | + | 13.6230i | −0.422229 | + | 0.731322i | −0.996157 | − | 0.0875835i | \(-0.972086\pi\) |
0.573928 | + | 0.818906i | \(0.305419\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 1.79135 | 0.0958889 | 0.0479444 | − | 0.998850i | \(-0.484733\pi\) | ||||
0.0479444 | + | 0.998850i | \(0.484733\pi\) | |||||||
\(350\) | −0.427580 | − | 1.14236i | −0.0228551 | − | 0.0610617i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 17.0093 | − | 8.26640i | 0.906601 | − | 0.440601i | ||||
\(353\) | −13.0108 | + | 22.5353i | −0.692493 | + | 1.19943i | 0.278526 | + | 0.960429i | \(0.410154\pi\) |
−0.971019 | + | 0.239004i | \(0.923179\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −8.42892 | − | 14.5993i | −0.447361 | − | 0.774851i | ||||
\(356\) | −8.47924 | + | 23.7701i | −0.449399 | + | 1.25981i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −15.7071 | − | 22.2795i | −0.830144 | − | 1.17751i | ||||
\(359\) | 14.8932 | − | 8.59857i | 0.786031 | − | 0.453815i | −0.0525323 | − | 0.998619i | \(-0.516729\pi\) |
0.838563 | + | 0.544804i | \(0.183396\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.35409 | − | 16.2018i | 0.492320 | − | 0.852724i | ||||
\(362\) | 13.2660 | − | 28.6890i | 0.697244 | − | 1.50786i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 3.99911 | + | 8.30786i | 0.209611 | + | 0.435450i | ||||
\(365\) | −18.8744 | −0.987933 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 11.5047 | + | 6.64226i | 0.600542 | + | 0.346723i | 0.769255 | − | 0.638942i | \(-0.220628\pi\) |
−0.168713 | + | 0.985665i | \(0.553961\pi\) | |||||||
\(368\) | −8.53003 | − | 22.5318i | −0.444658 | − | 1.17455i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 19.5294 | + | 27.7012i | 1.01528 | + | 1.44012i | ||||
\(371\) | −5.46157 | + | 5.52616i | −0.283550 | + | 0.286904i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 32.2609 | − | 18.6259i | 1.67041 | − | 0.964410i | 0.702999 | − | 0.711191i | \(-0.251844\pi\) |
0.967409 | − | 0.253219i | \(-0.0814895\pi\) | |||||||
\(374\) | 2.67388 | − | 0.242583i | 0.138263 | − | 0.0125437i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 2.74404 | + | 2.69170i | 0.141513 | + | 0.138814i | ||||
\(377\) | 3.10006 | 0.159661 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 33.4030i | 1.71580i | 0.513821 | + | 0.857898i | \(0.328230\pi\) | ||||
−0.513821 | + | 0.857898i | \(0.671770\pi\) | |||||||
\(380\) | 0.420365 | + | 2.29767i | 0.0215643 | + | 0.117868i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −0.839788 | − | 9.25658i | −0.0429673 | − | 0.473608i | ||||
\(383\) | 10.1288 | + | 17.5435i | 0.517556 | + | 0.896433i | 0.999792 | + | 0.0203917i | \(0.00649134\pi\) |
−0.482236 | + | 0.876041i | \(0.660175\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 4.84065 | − | 18.4999i | 0.246702 | − | 0.942840i | ||||
\(386\) | 6.03551 | + | 8.56099i | 0.307199 | + | 0.435743i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 24.9924 | − | 21.2459i | 1.26879 | − | 1.07860i | ||||
\(389\) | −9.87868 | + | 17.1104i | −0.500869 | + | 0.867530i | 0.499131 | + | 0.866527i | \(0.333653\pi\) |
−0.999999 | + | 0.00100341i | \(0.999681\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 3.42036i | − | 0.172975i | ||||||
\(392\) | 19.2296 | + | 4.71426i | 0.971239 | + | 0.238106i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 1.07031 | − | 2.31466i | 0.0539216 | − | 0.116611i | ||||
\(395\) | 17.8959 | + | 10.3322i | 0.900442 | + | 0.519870i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 6.15364 | + | 10.6584i | 0.308842 | + | 0.534930i | 0.978109 | − | 0.208092i | \(-0.0667252\pi\) |
−0.669267 | + | 0.743022i | \(0.733392\pi\) | |||||||
\(398\) | 10.3133 | − | 7.27087i | 0.516957 | − | 0.364456i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −1.00958 | − | 0.825288i | −0.0504790 | − | 0.0412644i | ||||
\(401\) | −29.5658 | + | 17.0698i | −1.47645 | + | 0.852427i | −0.999647 | − | 0.0265843i | \(-0.991537\pi\) |
−0.476801 | + | 0.879011i | \(0.658204\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 11.4432 | + | 6.60676i | 0.570029 | + | 0.329106i | ||||
\(404\) | −5.59056 | − | 30.5574i | −0.278141 | − | 1.52029i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 4.23243 | − | 5.13812i | 0.210052 | − | 0.255001i | ||||
\(407\) | − | 37.0603i | − | 1.83701i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −23.4733 | − | 13.5523i | −1.16068 | − | 0.670119i | −0.209213 | − | 0.977870i | \(-0.567090\pi\) |
−0.951467 | + | 0.307752i | \(0.900423\pi\) | |||||||
\(410\) | −2.14700 | − | 23.6653i | −0.106033 | − | 1.16875i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 10.2076 | + | 3.64123i | 0.502891 | + | 0.179390i | ||||
\(413\) | −21.3980 | − | 21.1479i | −1.05293 | − | 1.04062i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 17.2910 | + | 29.9489i | 0.848782 | + | 1.47013i | ||||
\(416\) | 8.16396 | + | 5.52339i | 0.400271 | + | 0.270807i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 1.07196 | − | 2.31823i | 0.0524314 | − | 0.113388i | ||||
\(419\) | − | 6.84933i | − | 0.334612i | −0.985905 | − | 0.167306i | \(-0.946493\pi\) | ||
0.985905 | − | 0.167306i | \(-0.0535067\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 10.8560i | − | 0.529089i | −0.964374 | − | 0.264544i | \(-0.914778\pi\) | ||
0.964374 | − | 0.264544i | \(-0.0852215\pi\) | |||||||
\(422\) | 14.6177 | + | 6.75930i | 0.711577 | + | 0.329038i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −2.07243 | + | 8.04338i | −0.100646 | + | 0.390621i | ||||
\(425\) | −0.0925617 | − | 0.160322i | −0.00448990 | − | 0.00777674i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 7.84955 | + | 28.6209i | 0.379866 | + | 1.38506i | ||||
\(428\) | 2.49947 | − | 7.00685i | 0.120816 | − | 0.338689i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −5.48554 | + | 0.497667i | −0.264536 | + | 0.0239996i | ||||
\(431\) | 19.5579 | + | 11.2917i | 0.942069 | + | 0.543904i | 0.890608 | − | 0.454771i | \(-0.150279\pi\) |
0.0514606 | + | 0.998675i | \(0.483612\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 33.9522i | 1.63164i | 0.578307 | + | 0.815819i | \(0.303713\pi\) | ||||
−0.578307 | + | 0.815819i | \(0.696287\pi\) | |||||||
\(434\) | 26.5734 | − | 9.94631i | 1.27556 | − | 0.477438i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −2.37931 | − | 13.0051i | −0.113948 | − | 0.622830i | ||||
\(437\) | −2.81783 | − | 1.62687i | −0.134795 | − | 0.0778239i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −21.4344 | + | 12.3752i | −1.02301 | + | 0.590634i | −0.914974 | − | 0.403513i | \(-0.867789\pi\) |
−0.108034 | + | 0.994147i | \(0.534456\pi\) | |||||||
\(440\) | −5.48090 | − | 19.6946i | −0.261292 | − | 0.938901i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.806318 | + | 1.14371i | 0.0383526 | + | 0.0544008i | ||||
\(443\) | −9.24079 | − | 16.0055i | −0.439043 | − | 0.760445i | 0.558573 | − | 0.829455i | \(-0.311349\pi\) |
−0.997616 | + | 0.0690105i | \(0.978016\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 23.6258 | + | 13.6404i | 1.11997 | + | 0.646615i | ||||
\(446\) | 6.29020 | + | 2.90863i | 0.297850 | + | 0.137728i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 20.3007 | − | 5.99023i | 0.959116 | − | 0.283012i | ||||
\(449\) | 30.4888i | 1.43886i | 0.694567 | + | 0.719428i | \(0.255596\pi\) | ||||
−0.694567 | + | 0.719428i | \(0.744404\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −12.9915 | + | 22.5019i | −0.611744 | + | 1.05957i | ||||
\(452\) | 6.58530 | − | 5.59814i | 0.309747 | − | 0.263314i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −24.6358 | + | 17.3683i | −1.15622 | + | 0.815133i | ||||
\(455\) | 9.61192 | − | 2.63616i | 0.450614 | − | 0.123585i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −13.2873 | − | 23.0142i | −0.621553 | − | 1.07656i | −0.989197 | − | 0.146594i | \(-0.953169\pi\) |
0.367644 | − | 0.929967i | \(-0.380165\pi\) | |||||||
\(458\) | 4.50458 | − | 0.408671i | 0.210485 | − | 0.0190959i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −25.6180 | + | 4.68688i | −1.19445 | + | 0.218527i | ||||
\(461\) | 1.26742i | 0.0590294i | 0.999564 | + | 0.0295147i | \(0.00939619\pi\) | ||||
−0.999564 | + | 0.0295147i | \(0.990604\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 9.82295 | 0.456511 | 0.228256 | − | 0.973601i | \(-0.426698\pi\) | ||||
0.228256 | + | 0.973601i | \(0.426698\pi\) | |||||||
\(464\) | 1.14570 | − | 7.02365i | 0.0531877 | − | 0.326065i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0.495467 | + | 5.46129i | 0.0229521 | + | 0.252989i | ||||
\(467\) | −18.5816 | + | 10.7281i | −0.859855 | + | 0.496438i | −0.863964 | − | 0.503554i | \(-0.832025\pi\) |
0.00410868 | + | 0.999992i | \(0.498692\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 23.3724 | + | 23.0992i | 1.07924 | + | 1.06662i | ||||
\(470\) | 3.39597 | − | 2.39416i | 0.156644 | − | 0.110434i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −31.1450 | − | 8.02472i | −1.43357 | − | 0.369368i | ||||
\(473\) | 5.21585 | + | 3.01137i | 0.239825 | + | 0.138463i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.176105 | −0.00808027 | ||||||||
\(476\) | 2.99646 | + | 0.225066i | 0.137343 | + | 0.0103159i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 28.4236 | + | 13.1432i | 1.30006 | + | 0.601158i | ||||
\(479\) | −13.5560 | + | 23.4798i | −0.619391 | + | 1.07282i | 0.370206 | + | 0.928950i | \(0.379287\pi\) |
−0.989597 | + | 0.143867i | \(0.954046\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 16.7282 | − | 9.65803i | 0.762740 | − | 0.440368i | ||||
\(482\) | −8.32021 | + | 5.86575i | −0.378975 | + | 0.267178i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −0.118666 | + | 0.332661i | −0.00539393 | + | 0.0151210i | ||||
\(485\) | −17.7293 | − | 30.7081i | −0.805047 | − | 1.39438i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 4.06126 | − | 7.03430i | 0.184033 | − | 0.318755i | −0.759217 | − | 0.650837i | \(-0.774418\pi\) |
0.943250 | + | 0.332083i | \(0.107751\pi\) | |||||||
\(488\) | 22.6492 | + | 22.2173i | 1.02528 | + | 1.00573i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 8.75366 | − | 19.5301i | 0.395450 | − | 0.882281i | ||||
\(491\) | 6.11572 | 0.275998 | 0.137999 | − | 0.990432i | \(-0.455933\pi\) | ||||
0.137999 | + | 0.990432i | \(0.455933\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.505158 | − | 0.874959i | 0.0227512 | − | 0.0394062i | ||||
\(494\) | 1.32575 | − | 0.120277i | 0.0596485 | − | 0.00541151i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 19.1977 | − | 23.4847i | 0.862003 | − | 1.05449i | ||||
\(497\) | −5.22229 | + | 19.9584i | −0.234252 | + | 0.895257i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 16.4251 | − | 9.48302i | 0.735287 | − | 0.424518i | −0.0850663 | − | 0.996375i | \(-0.527110\pi\) |
0.820353 | + | 0.571857i | \(0.193777\pi\) | |||||||
\(500\) | −17.5459 | + | 14.9157i | −0.784675 | + | 0.667050i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 12.3070 | + | 5.69086i | 0.549290 | + | 0.253995i | ||||
\(503\) | 24.6249 | 1.09797 | 0.548985 | − | 0.835832i | \(-0.315015\pi\) | ||||
0.548985 | + | 0.835832i | \(0.315015\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −33.5800 | −1.49429 | ||||||||
\(506\) | 25.8472 | + | 11.9519i | 1.14905 | + | 0.531327i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −9.02851 | − | 10.6206i | −0.400575 | − | 0.471211i | ||||
\(509\) | −7.66857 | + | 4.42745i | −0.339904 | + | 0.196243i | −0.660229 | − | 0.751064i | \(-0.729541\pi\) |
0.320326 | + | 0.947307i | \(0.396208\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 16.4286 | + | 16.2366i | 0.726759 | + | 0.718265i | ||||
\(512\) | 15.5313 | − | 16.4554i | 0.686391 | − | 0.727232i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −12.2005 | + | 1.10687i | −0.538140 | + | 0.0488219i | ||||
\(515\) | 5.85756 | − | 10.1456i | 0.258115 | − | 0.447068i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −4.54332 | −0.199815 | ||||||||
\(518\) | 6.83108 | − | 40.9116i | 0.300141 | − | 1.79755i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 7.46135 | − | 7.60643i | 0.327202 | − | 0.333564i | ||||
\(521\) | 12.0185 | − | 20.8167i | 0.526540 | − | 0.911995i | −0.472981 | − | 0.881072i | \(-0.656822\pi\) |
0.999522 | − | 0.0309222i | \(-0.00984441\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −1.89548 | − | 3.28306i | −0.0828835 | − | 0.143558i | 0.821604 | − | 0.570059i | \(-0.193080\pi\) |
−0.904487 | + | 0.426500i | \(0.859746\pi\) | |||||||
\(524\) | −16.5873 | − | 5.91700i | −0.724621 | − | 0.258485i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −7.20449 | + | 5.07917i | −0.314130 | + | 0.221462i | ||||
\(527\) | 3.72937 | − | 2.15316i | 0.162454 | − | 0.0937929i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 6.63889 | − | 11.4989i | 0.288648 | − | 0.499952i | ||||
\(530\) | 8.14955 | + | 3.76841i | 0.353994 | + | 0.163689i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 1.61067 | − | 2.36155i | 0.0698313 | − | 0.102386i | ||||
\(533\) | −13.5425 | −0.586589 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −6.96430 | − | 4.02084i | −0.301093 | − | 0.173836i | ||||
\(536\) | 34.0188 | + | 8.76516i | 1.46939 | + | 0.378597i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −12.6385 | + | 8.91018i | −0.544886 | + | 0.384145i | ||||
\(539\) | −20.1278 | + | 11.9384i | −0.866964 | + | 0.514225i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −16.4954 | + | 9.52363i | −0.709193 | + | 0.409453i | −0.810762 | − | 0.585376i | \(-0.800947\pi\) |
0.101569 | + | 0.994828i | \(0.467614\pi\) | |||||||
\(542\) | −2.67531 | − | 29.4887i | −0.114915 | − | 1.26665i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 2.88924 | − | 1.40415i | 0.123875 | − | 0.0602024i | ||||
\(545\) | −14.2915 | −0.612179 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 46.3065i | 1.97992i | 0.141342 | + | 0.989961i | \(0.454858\pi\) | ||||
−0.141342 | + | 0.989961i | \(0.545142\pi\) | |||||||
\(548\) | −6.03701 | − | 32.9977i | −0.257888 | − | 1.40959i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 1.53497 | − | 0.139257i | 0.0654513 | − | 0.00593796i | ||||
\(551\) | −0.480550 | − | 0.832337i | −0.0204721 | − | 0.0354587i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −6.68869 | − | 24.3882i | −0.284432 | − | 1.03709i | ||||
\(554\) | −5.07587 | + | 3.57850i | −0.215653 | + | 0.152036i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −13.3824 | − | 15.7422i | −0.567539 | − | 0.667617i | ||||
\(557\) | −11.1463 | + | 19.3059i | −0.472283 | + | 0.818019i | −0.999497 | − | 0.0317140i | \(-0.989903\pi\) |
0.527214 | + | 0.849733i | \(0.323237\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 3.13910i | 0.132770i | ||||||||
\(560\) | −2.42031 | − | 22.7515i | −0.102277 | − | 0.961426i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 10.1841 | + | 4.70919i | 0.429590 | + | 0.198645i | ||||
\(563\) | 2.42370 | + | 1.39932i | 0.102147 | + | 0.0589745i | 0.550203 | − | 0.835031i | \(-0.314550\pi\) |
−0.448056 | + | 0.894005i | \(0.647884\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −4.67155 | − | 8.09136i | −0.196533 | − | 0.340406i | ||||
\(566\) | 24.7070 | + | 35.0454i | 1.03851 | + | 1.47307i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 5.91302 | + | 21.2473i | 0.248105 | + | 0.891517i | ||||
\(569\) | 35.6988 | − | 20.6107i | 1.49657 | − | 0.864046i | 0.496579 | − | 0.867992i | \(-0.334589\pi\) |
0.999992 | + | 0.00394571i | \(0.00125596\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −24.3886 | − | 14.0808i | −1.02063 | − | 0.589262i | −0.106345 | − | 0.994329i | \(-0.533915\pi\) |
−0.914287 | + | 0.405068i | \(0.867248\pi\) | |||||||
\(572\) | −11.4604 | + | 2.09671i | −0.479184 | + | 0.0876679i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −18.4892 | + | 22.4457i | −0.771723 | + | 0.936863i | ||||
\(575\) | − | 1.96350i | − | 0.0818834i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 8.23601 | + | 4.75506i | 0.342870 | + | 0.197956i | 0.661540 | − | 0.749910i | \(-0.269903\pi\) |
−0.318671 | + | 0.947866i | \(0.603236\pi\) | |||||||
\(578\) | −23.4891 | + | 2.13101i | −0.977018 | + | 0.0886384i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −7.24553 | − | 2.58461i | −0.300854 | − | 0.107320i | ||||
\(581\) | 10.7130 | − | 40.9425i | 0.444449 | − | 1.69858i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −4.90881 | − | 8.50230i | −0.203302 | − | 0.352129i | ||||
\(584\) | 23.9120 | + | 6.16110i | 0.989488 | + | 0.254948i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −5.58241 | − | 2.58134i | −0.230607 | − | 0.106634i | ||||
\(587\) | − | 6.47220i | − | 0.267136i | −0.991040 | − | 0.133568i | \(-0.957357\pi\) | ||
0.991040 | − | 0.133568i | \(-0.0426435\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 4.09654i | − | 0.168795i | ||||||
\(590\) | −14.5918 | + | 31.5561i | −0.600733 | + | 1.29915i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −15.6994 | − | 41.4696i | −0.645242 | − | 1.70439i | ||||
\(593\) | −14.5174 | − | 25.1449i | −0.596159 | − | 1.03258i | −0.993382 | − | 0.114855i | \(-0.963360\pi\) |
0.397224 | − | 0.917722i | \(-0.369974\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.822243 | − | 3.14243i | 0.0337087 | − | 0.128827i | ||||
\(596\) | 2.83113 | − | 7.93660i | 0.115968 | − | 0.325096i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 1.34103 | + | 14.7816i | 0.0548389 | + | 0.604463i | ||||
\(599\) | 4.06979 | + | 2.34969i | 0.166287 | + | 0.0960058i | 0.580834 | − | 0.814022i | \(-0.302727\pi\) |
−0.414547 | + | 0.910028i | \(0.636060\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 20.3259i | 0.829111i | 0.910024 | + | 0.414555i | \(0.136063\pi\) | ||||
−0.910024 | + | 0.414555i | \(0.863937\pi\) | |||||||
\(602\) | 5.20282 | + | 4.28573i | 0.212051 | + | 0.174673i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 12.2169 | − | 2.23512i | 0.497100 | − | 0.0909458i | ||||
\(605\) | 0.330641 | + | 0.190896i | 0.0134425 | + | 0.00776102i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 26.3222 | − | 15.1971i | 1.06838 | − | 0.616832i | 0.140645 | − | 0.990060i | \(-0.455082\pi\) |
0.927740 | + | 0.373228i | \(0.121749\pi\) | |||||||
\(608\) | 0.217458 | − | 3.04815i | 0.00881908 | − | 0.123619i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 28.0303 | − | 19.7614i | 1.13491 | − | 0.800115i | ||||
\(611\) | −1.18400 | − | 2.05076i | −0.0478997 | − | 0.0829647i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 24.4975 | + | 14.1436i | 0.989444 | + | 0.571256i | 0.905108 | − | 0.425182i | \(-0.139790\pi\) |
0.0843357 | + | 0.996437i | \(0.473123\pi\) | |||||||
\(614\) | 2.85671 | − | 6.17792i | 0.115287 | − | 0.249320i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −12.1715 | + | 21.8574i | −0.490402 | + | 0.880659i | ||||
\(617\) | 21.3569i | 0.859795i | 0.902878 | + | 0.429898i | \(0.141450\pi\) | ||||
−0.902878 | + | 0.429898i | \(0.858550\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 10.6447 | − | 18.4372i | 0.427847 | − | 0.741053i | −0.568834 | − | 0.822452i | \(-0.692605\pi\) |
0.996682 | + | 0.0813988i | \(0.0259388\pi\) | |||||||
\(620\) | −21.2372 | − | 24.9821i | −0.852905 | − | 1.00330i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 6.46812 | + | 9.17462i | 0.259348 | + | 0.367869i | ||||
\(623\) | −8.83026 | − | 32.1967i | −0.353777 | − | 1.28993i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 11.6319 | + | 20.1470i | 0.465275 | + | 0.805880i | ||||
\(626\) | 0.288578 | + | 3.18085i | 0.0115339 | + | 0.127133i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −40.6098 | + | 7.42966i | −1.62051 | + | 0.296476i | ||||
\(629\) | − | 6.29514i | − | 0.251004i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 8.31457 | 0.330998 | 0.165499 | − | 0.986210i | \(-0.447077\pi\) | ||||
0.165499 | + | 0.986210i | \(0.447077\pi\) | |||||||
\(632\) | −19.2997 | − | 18.9316i | −0.767700 | − | 0.753058i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −10.5018 | + | 0.952760i | −0.417081 | + | 0.0378390i | ||||
\(635\) | −13.0495 | + | 7.53412i | −0.517853 | + | 0.298983i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −10.6341 | − | 5.97403i | −0.421339 | − | 0.236700i | ||||
\(638\) | 4.84674 | + | 6.87480i | 0.191884 | + | 0.272176i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −14.4760 | − | 19.7159i | −0.572213 | − | 0.779341i | ||||
\(641\) | 4.98896 | + | 2.88038i | 0.197052 | + | 0.113768i | 0.595280 | − | 0.803519i | \(-0.297041\pi\) |
−0.398228 | + | 0.917287i | \(0.630375\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 18.7692 | 0.740184 | 0.370092 | − | 0.928995i | \(-0.379326\pi\) | ||||
0.370092 | + | 0.928995i | \(0.379326\pi\) | |||||||
\(644\) | 26.3302 | + | 17.9582i | 1.03756 | + | 0.707652i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.182086 | − | 0.393779i | 0.00716408 | − | 0.0154930i | ||||
\(647\) | −0.705648 | + | 1.22222i | −0.0277419 | + | 0.0480503i | −0.879563 | − | 0.475782i | \(-0.842165\pi\) |
0.851821 | + | 0.523833i | \(0.175498\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 32.9220 | − | 19.0075i | 1.29230 | − | 0.746112i | ||||
\(650\) | 0.462876 | + | 0.656560i | 0.0181555 | + | 0.0257524i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 7.75678 | + | 2.76699i | 0.303779 | + | 0.108364i | ||||
\(653\) | 3.21537 | + | 5.56919i | 0.125827 | + | 0.217939i | 0.922056 | − | 0.387057i | \(-0.126508\pi\) |
−0.796229 | + | 0.604996i | \(0.793175\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −9.51855 | + | 16.4866i | −0.371920 | + | 0.644185i | ||||
\(656\) | −5.00493 | + | 30.6825i | −0.195410 | + | 1.19795i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −5.01547 | − | 0.837442i | −0.195523 | − | 0.0326469i | ||||
\(659\) | −15.9229 | −0.620269 | −0.310134 | − | 0.950693i | \(-0.600374\pi\) | ||||
−0.310134 | + | 0.950693i | \(0.600374\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −13.8309 | + | 23.9557i | −0.537958 | + | 0.931770i | 0.461056 | + | 0.887371i | \(0.347471\pi\) |
−0.999014 | + | 0.0443993i | \(0.985863\pi\) | |||||||
\(662\) | −2.88096 | − | 31.7554i | −0.111972 | − | 1.23421i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −12.1299 | − | 43.5865i | −0.470732 | − | 1.69149i | ||||
\(665\) | −2.19776 | − | 2.17207i | −0.0852254 | − | 0.0842293i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 9.28018 | − | 5.35791i | 0.359330 | − | 0.207459i | ||||
\(668\) | 17.1837 | + | 20.2139i | 0.664859 | + | 0.782098i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 15.9381 | − | 34.4678i | 0.615744 | − | 1.33161i | ||||
\(671\) | −37.5005 | −1.44769 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 16.8132 | 0.648103 | 0.324052 | − | 0.946039i | \(-0.394955\pi\) | ||||
0.324052 | + | 0.946039i | \(0.394955\pi\) | |||||||
\(674\) | 15.4269 | − | 33.3622i | 0.594223 | − | 1.28507i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 12.9069 | + | 15.1829i | 0.496421 | + | 0.583958i | ||||
\(677\) | −33.3325 | + | 19.2445i | −1.28107 | + | 0.739626i | −0.977044 | − | 0.213037i | \(-0.931664\pi\) |
−0.304026 | + | 0.952664i | \(0.598331\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −10.9845 | + | 41.9804i | −0.421548 | + | 1.61106i | ||||
\(680\) | −0.930998 | − | 3.34536i | −0.0357021 | − | 0.128289i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 3.23939 | + | 35.7062i | 0.124043 | + | 1.36726i | ||||
\(683\) | −16.8564 | + | 29.1961i | −0.644991 | + | 1.11716i | 0.339313 | + | 0.940674i | \(0.389806\pi\) |
−0.984304 | + | 0.176483i | \(0.943528\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −36.2616 | −1.38549 | ||||||||
\(686\) | −24.4200 | + | 9.46908i | −0.932360 | + | 0.361531i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 7.11210 | + | 1.16013i | 0.271146 | + | 0.0442294i | ||||
\(689\) | 2.55850 | − | 4.43146i | 0.0974712 | − | 0.168825i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −16.3070 | − | 28.2445i | −0.620346 | − | 1.07447i | −0.989421 | − | 0.145072i | \(-0.953659\pi\) |
0.369075 | − | 0.929400i | \(-0.379675\pi\) | |||||||
\(692\) | −42.3906 | − | 15.1215i | −1.61145 | − | 0.574833i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −12.8184 | − | 18.1821i | −0.486579 | − | 0.690182i | ||||
\(695\) | −19.3424 | + | 11.1673i | −0.733699 | + | 0.423601i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.20676 | + | 3.82222i | −0.0835869 | + | 0.144777i | ||||
\(698\) | −1.06327 | + | 2.29942i | −0.0402453 | + | 0.0870344i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 1.72015 | + | 0.129202i | 0.0650157 | + | 0.00488337i | ||||
\(701\) | 18.4784 | 0.697919 | 0.348959 | − | 0.937138i | \(-0.386535\pi\) | ||||
0.348959 | + | 0.937138i | \(0.386535\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −5.18618 | − | 2.99424i | −0.195600 | − | 0.112930i | ||||
\(704\) | 0.514954 | + | 26.7402i | 0.0194081 | + | 1.00781i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −21.2042 | − | 30.0769i | −0.798032 | − | 1.13196i | ||||
\(707\) | 29.2286 | + | 28.8870i | 1.09925 | + | 1.08641i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 0.277961 | − | 0.160481i | 0.0104390 | − | 0.00602697i | −0.494771 | − | 0.869023i | \(-0.664748\pi\) |
0.505210 | + | 0.862996i | \(0.331415\pi\) | |||||||
\(710\) | 23.7431 | − | 2.15405i | 0.891062 | − | 0.0808401i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −25.4790 | − | 24.9931i | −0.954866 | − | 0.936654i | ||||
\(713\) | 45.6745 | 1.71053 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 12.5940i | 0.470989i | ||||||||
\(716\) | 37.9215 | − | 6.93784i | 1.41719 | − | 0.259279i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 2.19741 | + | 24.2210i | 0.0820065 | + | 0.903918i | ||||
\(719\) | 6.95557 | + | 12.0474i | 0.259399 | + | 0.449292i | 0.966081 | − | 0.258239i | \(-0.0831422\pi\) |
−0.706682 | + | 0.707531i | \(0.749809\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −13.8262 | + | 3.79196i | −0.514914 | + | 0.141220i | ||||
\(722\) | 15.2448 | + | 21.6238i | 0.567352 | + | 0.804754i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 28.9518 | + | 34.0570i | 1.07598 | + | 1.26572i | ||||
\(725\) | 0.289991 | − | 0.502280i | 0.0107700 | − | 0.0186542i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 42.1216i | − | 1.56220i | −0.624403 | − | 0.781102i | \(-0.714658\pi\) | ||
0.624403 | − | 0.781102i | \(-0.285342\pi\) | |||||||
\(728\) | −13.0379 | + | 0.202179i | −0.483216 | + | 0.00749326i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 11.2030 | − | 24.2277i | 0.414643 | − | 0.896706i | ||||
\(731\) | 0.885977 | + | 0.511519i | 0.0327690 | + | 0.0189192i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −4.20815 | − | 7.28873i | −0.155432 | − | 0.269215i | 0.777785 | − | 0.628531i | \(-0.216343\pi\) |
−0.933216 | + | 0.359316i | \(0.883010\pi\) | |||||||
\(734\) | −15.3549 | + | 10.8252i | −0.566759 | + | 0.399565i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 33.9854 | + | 2.42456i | 1.25272 | + | 0.0893704i | ||||
\(737\) | −35.9597 | + | 20.7614i | −1.32459 | + | 0.764755i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −2.15443 | − | 1.24386i | −0.0792519 | − | 0.0457561i | 0.459850 | − | 0.887996i | \(-0.347903\pi\) |
−0.539102 | + | 0.842240i | \(0.681236\pi\) | |||||||
\(740\) | −47.1497 | + | 8.62616i | −1.73326 | + | 0.317104i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −3.85176 | − | 10.2907i | −0.141403 | − | 0.377783i | ||||
\(743\) | 27.2694i | 1.00042i | 0.865904 | + | 0.500209i | \(0.166744\pi\) | ||||
−0.865904 | + | 0.500209i | \(0.833256\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −7.88841 | − | 4.55438i | −0.289009 | − | 0.166859i | ||||
\(746\) | 4.75993 | + | 52.4664i | 0.174273 | + | 1.92093i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −1.27571 | + | 3.57624i | −0.0466446 | + | 0.130760i | ||||
\(749\) | 2.60294 | + | 9.49080i | 0.0951094 | + | 0.346786i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −15.7789 | − | 27.3299i | −0.575781 | − | 0.997282i | −0.995956 | − | 0.0898389i | \(-0.971365\pi\) |
0.420175 | − | 0.907443i | \(-0.361969\pi\) | |||||||
\(752\) | −5.08387 | + | 1.92464i | −0.185390 | + | 0.0701843i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −1.84006 | + | 3.97931i | −0.0670110 | + | 0.144918i | ||||
\(755\) | − | 13.4254i | − | 0.488599i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 36.9092i | − | 1.34149i | −0.741689 | − | 0.670744i | \(-0.765975\pi\) | ||
0.741689 | − | 0.670744i | \(-0.234025\pi\) | |||||||
\(758\) | −42.8769 | − | 19.8265i | −1.55736 | − | 0.720132i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −3.19886 | − | 0.824208i | −0.116035 | − | 0.0298972i | ||||
\(761\) | −9.14893 | − | 15.8464i | −0.331648 | − | 0.574432i | 0.651187 | − | 0.758917i | \(-0.274271\pi\) |
−0.982835 | + | 0.184486i | \(0.940938\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 12.4395 | + | 12.2941i | 0.450341 | + | 0.445078i | ||||
\(764\) | 12.3804 | + | 4.41633i | 0.447908 | + | 0.159777i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −28.5313 | + | 2.58846i | −1.03088 | + | 0.0935247i | ||||
\(767\) | 17.1592 | + | 9.90686i | 0.619582 | + | 0.357716i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 5.09495i | 0.183729i | 0.995772 | + | 0.0918644i | \(0.0292826\pi\) | ||||
−0.995772 | + | 0.0918644i | \(0.970717\pi\) | |||||||
\(770\) | 20.8737 | + | 17.1943i | 0.752234 | + | 0.619639i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −14.5715 | + | 2.66590i | −0.524440 | + | 0.0959477i | ||||
\(773\) | 27.0448 | + | 15.6143i | 0.972735 | + | 0.561609i | 0.900069 | − | 0.435748i | \(-0.143516\pi\) |
0.0726659 | + | 0.997356i | \(0.476849\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 2.14089 | − | 1.23604i | 0.0769030 | − | 0.0444000i | ||||
\(776\) | 12.4374 | + | 44.6914i | 0.446477 | + | 1.60433i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −16.0997 | − | 22.8365i | −0.577203 | − | 0.818727i | ||||
\(779\) | 2.09926 | + | 3.63603i | 0.0752138 | + | 0.130274i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −22.5758 | − | 13.0341i | −0.807825 | − | 0.466398i | ||||
\(782\) | 4.39046 | + | 2.03018i | 0.157002 | + | 0.0725990i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −17.4652 | + | 21.8853i | −0.623756 | + | 0.781619i | ||||
\(785\) | 44.6267i | 1.59279i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −9.96558 | + | 17.2609i | −0.355235 | + | 0.615284i | −0.987158 | − | 0.159746i | \(-0.948932\pi\) |
0.631923 | + | 0.775031i | \(0.282266\pi\) | |||||||
\(788\) | 2.33586 | + | 2.74776i | 0.0832116 | + | 0.0978849i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −23.8849 | + | 16.8389i | −0.849787 | + | 0.599101i | ||||
\(791\) | −2.89434 | + | 11.0615i | −0.102911 | + | 0.393302i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −9.77276 | − | 16.9269i | −0.347041 | − | 0.601093i | ||||
\(794\) | −17.3339 | + | 1.57259i | −0.615158 | + | 0.0558092i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 3.21155 | + | 17.5540i | 0.113831 | + | 0.622186i | ||||
\(797\) | 46.5551i | 1.64907i | 0.565813 | + | 0.824534i | \(0.308562\pi\) | ||||
−0.565813 | + | 0.824534i | \(0.691438\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −0.771739 | −0.0273022 | ||||||||
\(800\) | 1.65860 | − | 0.806067i | 0.0586405 | − | 0.0284988i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −4.36228 | − | 48.0833i | −0.154037 | − | 1.69788i | ||||
\(803\) | −25.2764 | + | 14.5933i | −0.891984 | + | 0.514987i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 24.2176 | − | 24.5040i | 0.853558 | − | 0.863652i | ||||
\(806\) | −15.2728 | + | 10.7673i | −0.537962 | + | 0.379263i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 42.5426 | + | 10.9614i | 1.49664 | + | 0.385620i | ||||
\(809\) | −35.1771 | − | 20.3095i | −1.23676 | − | 0.714045i | −0.268331 | − | 0.963327i | \(-0.586472\pi\) |
−0.968431 | + | 0.249282i | \(0.919805\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −43.3104 | −1.52083 | −0.760417 | − | 0.649435i | \(-0.775005\pi\) | ||||
−0.760417 | + | 0.649435i | \(0.775005\pi\) | |||||||
\(812\) | 4.08323 | + | 8.48261i | 0.143293 | + | 0.297681i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 47.5714 | + | 21.9973i | 1.66738 | + | 0.771006i | ||||
\(815\) | 4.45119 | − | 7.70968i | 0.155918 | − | 0.270058i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.842818 | − | 0.486601i | 0.0294865 | − | 0.0170240i | ||||
\(818\) | 31.3288 | − | 22.0868i | 1.09539 | − | 0.772248i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 31.6518 | + | 11.2908i | 1.10533 | + | 0.394291i | ||||
\(821\) | 1.21375 | + | 2.10228i | 0.0423602 | + | 0.0733699i | 0.886428 | − | 0.462866i | \(-0.153179\pi\) |
−0.844068 | + | 0.536236i | \(0.819846\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −8.90145 | + | 15.4178i | −0.310285 | + | 0.537429i | −0.978424 | − | 0.206607i | \(-0.933758\pi\) |
0.668139 | + | 0.744036i | \(0.267091\pi\) | |||||||
\(824\) | −10.7327 | + | 10.9414i | −0.373892 | + | 0.381162i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 39.8469 | − | 14.9145i | 1.38645 | − | 0.518943i | ||||
\(827\) | 39.3153 | 1.36713 | 0.683564 | − | 0.729890i | \(-0.260429\pi\) | ||||
0.683564 | + | 0.729890i | \(0.260429\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −21.4409 | + | 37.1368i | −0.744675 | + | 1.28981i | 0.205672 | + | 0.978621i | \(0.434062\pi\) |
−0.950346 | + | 0.311194i | \(0.899271\pi\) | |||||||
\(830\) | −48.7063 | + | 4.41880i | −1.69062 | + | 0.153379i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −11.9357 | + | 7.20102i | −0.413797 | + | 0.249650i | ||||
\(833\) | −3.41895 | + | 2.02789i | −0.118459 | + | 0.0702623i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 24.8368 | − | 14.3395i | 0.859512 | − | 0.496239i | ||||
\(836\) | 2.33946 | + | 2.75200i | 0.0809120 | + | 0.0951797i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 8.79196 | + | 4.06546i | 0.303713 | + | 0.140439i | ||||
\(839\) | −4.03008 | −0.139134 | −0.0695668 | − | 0.997577i | \(-0.522162\pi\) | ||||
−0.0695668 | + | 0.997577i | \(0.522162\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −25.8347 | −0.890853 | ||||||||
\(842\) | 13.9350 | + | 6.44364i | 0.480232 | + | 0.222062i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −17.3528 | + | 14.7516i | −0.597309 | + | 0.507770i | ||||
\(845\) | 18.6552 | − | 10.7706i | 0.641759 | − | 0.370520i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −0.123579 | − | 0.450591i | −0.00424622 | − | 0.0154825i | ||||
\(848\) | −9.09458 | − | 7.43442i | −0.312309 | − | 0.255299i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0.260733 | − | 0.0236546i | 0.00894307 | − | 0.000811346i | ||||
\(851\) | 33.3844 | − | 57.8235i | 1.14440 | − | 1.98217i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −1.89394 | −0.0648474 | −0.0324237 | − | 0.999474i | \(-0.510323\pi\) | ||||
−0.0324237 | + | 0.999474i | \(0.510323\pi\) | |||||||
\(854\) | −41.3976 | − | 6.91224i | −1.41660 | − | 0.236532i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 7.51058 | + | 7.36734i | 0.256706 | + | 0.251810i | ||||
\(857\) | 10.3144 | − | 17.8650i | 0.352333 | − | 0.610258i | −0.634325 | − | 0.773066i | \(-0.718722\pi\) |
0.986658 | + | 0.162808i | \(0.0520552\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −25.2260 | − | 43.6928i | −0.860701 | − | 1.49078i | −0.871253 | − | 0.490833i | \(-0.836692\pi\) |
0.0105526 | − | 0.999944i | \(-0.496641\pi\) | |||||||
\(860\) | 2.61716 | − | 7.33677i | 0.0892444 | − | 0.250182i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −26.1030 | + | 18.4027i | −0.889073 | + | 0.626797i | ||||
\(863\) | −1.95161 | + | 1.12676i | −0.0664336 | + | 0.0383554i | −0.532849 | − | 0.846210i | \(-0.678879\pi\) |
0.466415 | + | 0.884566i | \(0.345545\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −24.3256 | + | 42.1332i | −0.827095 | + | 1.43257i | ||||
\(866\) | −43.5819 | − | 20.1525i | −1.48097 | − | 0.684811i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −3.00547 | + | 40.0139i | −0.102012 | + | 1.35816i | ||||
\(869\) | 31.9546 | 1.08399 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −18.7425 | − | 10.8210i | −0.635064 | − | 0.366654i | ||||
\(872\) | 18.1059 | + | 4.66510i | 0.613143 | + | 0.157980i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 3.76083 | − | 2.65139i | 0.127212 | − | 0.0896846i | ||||
\(875\) | 7.71169 | − | 29.4723i | 0.260703 | − | 0.996346i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 22.7244 | − | 13.1200i | 0.767350 | − | 0.443029i | −0.0645788 | − | 0.997913i | \(-0.520570\pi\) |
0.831928 | + | 0.554883i | \(0.187237\pi\) | |||||||
\(878\) | −3.16253 | − | 34.8591i | −0.106730 | − | 1.17644i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 28.5336 | + | 4.65441i | 0.961869 | + | 0.156900i | ||||
\(881\) | −13.9743 | −0.470804 | −0.235402 | − | 0.971898i | \(-0.575641\pi\) | ||||
−0.235402 | + | 0.971898i | \(0.575641\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 40.0650i | − | 1.34830i | −0.738596 | − | 0.674148i | \(-0.764511\pi\) | ||
0.738596 | − | 0.674148i | \(-0.235489\pi\) | |||||||
\(884\) | −1.94669 | + | 0.356152i | −0.0654743 | + | 0.0119787i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 26.0300 | − | 2.36153i | 0.874495 | − | 0.0793371i | ||||
\(887\) | −22.9798 | − | 39.8022i | −0.771586 | − | 1.33643i | −0.936694 | − | 0.350150i | \(-0.886131\pi\) |
0.165108 | − | 0.986275i | \(-0.447203\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 17.8397 | + | 4.66791i | 0.598323 | + | 0.156557i | ||||
\(890\) | −31.5323 | + | 22.2303i | −1.05697 | + | 0.745162i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −7.46718 | + | 6.34782i | −0.250020 | + | 0.212541i | ||||
\(893\) | −0.367073 | + | 0.635788i | −0.0122836 | + | 0.0212758i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | − | 41.6725i | − | 1.39296i | ||||||
\(896\) | −4.36038 | + | 29.6140i | −0.145670 | + | 0.989333i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −39.1362 | − | 18.0968i | −1.30599 | − | 0.603899i | ||||
\(899\) | 11.6840 | + | 6.74573i | 0.389682 | + | 0.224983i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −0.833821 | − | 1.44422i | −0.0277786 | − | 0.0481140i | ||||
\(902\) | −21.1728 | − | 30.0323i | −0.704976 | − | 0.999965i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 3.27717 | + | 11.7759i | 0.108997 | + | 0.391659i | ||||
\(905\) | 41.8459 | − | 24.1597i | 1.39100 | − | 0.803096i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −8.32291 | − | 4.80524i | −0.276358 | − | 0.159555i | 0.355416 | − | 0.934708i | \(-0.384339\pi\) |
−0.631773 | + | 0.775153i | \(0.717673\pi\) | |||||||
\(908\) | −7.67159 | − | 41.9321i | −0.254591 | − | 1.39157i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −2.32138 | + | 13.9028i | −0.0769528 | + | 0.460873i | ||||
\(911\) | − | 55.0751i | − | 1.82472i | −0.409390 | − | 0.912359i | \(-0.634258\pi\) | ||
0.409390 | − | 0.912359i | \(-0.365742\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 46.3117 | + | 26.7381i | 1.53269 | + | 0.884902i | ||||
\(914\) | 37.4284 | − | 3.39563i | 1.23802 | − | 0.112317i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −2.14914 | + | 6.02476i | −0.0710096 | + | 0.199064i | ||||
\(917\) | 22.4676 | − | 6.16195i | 0.741946 | − | 0.203486i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −10.4392 | − | 18.0812i | −0.344357 | − | 0.596444i | 0.640880 | − | 0.767641i | \(-0.278570\pi\) |
−0.985237 | + | 0.171198i | \(0.945236\pi\) | |||||||
\(920\) | 9.18954 | − | 35.6659i | 0.302970 | − | 1.17587i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −1.62688 | − | 0.752282i | −0.0535786 | − | 0.0247751i | ||||
\(923\) | − | 13.5870i | − | 0.447220i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | − | 3.61379i | − | 0.118821i | ||||||
\(926\) | −5.83047 | + | 12.6090i | −0.191601 | + | 0.414357i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 8.33569 | + | 5.63958i | 0.273632 | + | 0.185128i | ||||
\(929\) | −19.3495 | − | 33.5143i | −0.634837 | − | 1.09957i | −0.986550 | − | 0.163462i | \(-0.947734\pi\) |
0.351713 | − | 0.936108i | \(-0.385599\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.0444554 | + | 3.78121i | 0.00145697 | + | 0.123924i | ||||
\(932\) | −7.30433 | − | 2.60559i | −0.239261 | − | 0.0853489i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −2.74162 | − | 30.2196i | −0.0897085 | − | 0.988814i | ||||
\(935\) | 3.55453 | + | 2.05221i | 0.116245 | + | 0.0671143i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 2.23597i | 0.0730458i | 0.999333 | + | 0.0365229i | \(0.0116282\pi\) | ||||
−0.999333 | + | 0.0365229i | \(0.988372\pi\) | |||||||
\(938\) | −43.5235 | + | 16.2907i | −1.42109 | + | 0.531910i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 1.05751 | + | 5.78022i | 0.0344920 | + | 0.188530i | ||||
\(941\) | −8.23966 | − | 4.75717i | −0.268605 | − | 0.155079i | 0.359648 | − | 0.933088i | \(-0.382897\pi\) |
−0.628254 | + | 0.778009i | \(0.716230\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −40.5400 | + | 23.4058i | −1.32017 | + | 0.762198i | ||||
\(944\) | 28.7871 | − | 35.2154i | 0.936939 | − | 1.14616i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −6.96138 | + | 4.90778i | −0.226334 | + | 0.159566i | ||||
\(947\) | −19.3346 | − | 33.4885i | −0.628290 | − | 1.08823i | −0.987895 | − | 0.155126i | \(-0.950422\pi\) |
0.359605 | − | 0.933105i | \(-0.382912\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −13.1742 | − | 7.60613i | −0.427653 | − | 0.246906i | ||||
\(950\) | 0.104528 | − | 0.226053i | 0.00339135 | − | 0.00733413i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −2.06747 | + | 3.71274i | −0.0670071 | + | 0.120331i | ||||
\(953\) | − | 31.5906i | − | 1.02332i | −0.859188 | − | 0.511659i | \(-0.829031\pi\) | ||
0.859188 | − | 0.511659i | \(-0.170969\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 7.10444 | − | 12.3053i | 0.229894 | − | 0.398189i | ||||
\(956\) | −33.7420 | + | 28.6839i | −1.09129 | + | 0.927705i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −22.0929 | − | 31.3374i | −0.713789 | − | 1.01247i | ||||
\(959\) | 31.5627 | + | 31.1938i | 1.01921 | + | 1.00730i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 13.2526 | + | 22.9542i | 0.427504 | + | 0.740459i | ||||
\(962\) | 2.46816 | + | 27.2053i | 0.0795765 | + | 0.877134i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −2.59091 | − | 14.1617i | −0.0834477 | − | 0.456117i | ||||
\(965\) | 16.0128i | 0.515472i | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 54.1994 | 1.74294 | 0.871468 | − | 0.490452i | \(-0.163168\pi\) | ||||
0.871468 | + | 0.490452i | \(0.163168\pi\) | |||||||
\(968\) | −0.356577 | − | 0.349776i | −0.0114608 | − | 0.0112422i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 49.9410 | − | 4.53082i | 1.60351 | − | 0.145476i | ||||
\(971\) | 5.92025 | − | 3.41806i | 0.189990 | − | 0.109691i | −0.401988 | − | 0.915645i | \(-0.631681\pi\) |
0.591978 | + | 0.805954i | \(0.298347\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 26.4426 | + | 6.91893i | 0.847710 | + | 0.221811i | ||||
\(974\) | 6.61882 | + | 9.38838i | 0.212081 | + | 0.300823i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −41.9622 | + | 15.8859i | −1.34318 | + | 0.508496i | ||||
\(977\) | 19.1650 | + | 11.0649i | 0.613144 | + | 0.353999i | 0.774195 | − | 0.632947i | \(-0.218155\pi\) |
−0.161051 | + | 0.986946i | \(0.551488\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 42.1858 | 1.34826 | ||||||||
\(980\) | 19.8736 | + | 22.8286i | 0.634838 | + | 0.729234i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −3.63002 | + | 7.85028i | −0.115839 | + | 0.250513i | ||||
\(983\) | −3.18986 | + | 5.52499i | −0.101741 | + | 0.176220i | −0.912402 | − | 0.409296i | \(-0.865775\pi\) |
0.810661 | + | 0.585515i | \(0.199108\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 3.37617 | − | 1.94923i | 0.107574 | − | 0.0621077i | ||||
\(986\) | 0.823279 | + | 1.16777i | 0.0262185 | + | 0.0371894i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −0.632519 | + | 1.77316i | −0.0201231 | + | 0.0564118i | ||||
\(989\) | 5.42538 | + | 9.39704i | 0.172517 | + | 0.298808i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 5.49218 | − | 9.51273i | 0.174465 | − | 0.302182i | −0.765511 | − | 0.643423i | \(-0.777514\pi\) |
0.939976 | + | 0.341241i | \(0.110847\pi\) | |||||||
\(992\) | 18.7506 | + | 38.5822i | 0.595333 | + | 1.22498i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −22.5194 | − | 18.5499i | −0.714271 | − | 0.588367i | ||||
\(995\) | 19.2904 | 0.611546 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −3.65692 | + | 6.33397i | −0.115816 | + | 0.200599i | −0.918106 | − | 0.396336i | \(-0.870282\pi\) |
0.802290 | + | 0.596935i | \(0.203615\pi\) | |||||||
\(998\) | 2.42343 | + | 26.7123i | 0.0767124 | + | 0.845563i | ||||
\(999\) | 0 | 0 |
(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 | 504.2.ch.b.269.10 | yes | 56 | |
3.2 | odd | 2 | inner | 504.2.ch.b.269.19 | yes | 56 | |
4.3 | odd | 2 | 2016.2.cp.b.17.6 | 56 | |||
7.5 | odd | 6 | inner | 504.2.ch.b.341.27 | yes | 56 | |
8.3 | odd | 2 | 2016.2.cp.b.17.23 | 56 | |||
8.5 | even | 2 | inner | 504.2.ch.b.269.2 | ✓ | 56 | |
12.11 | even | 2 | 2016.2.cp.b.17.24 | 56 | |||
21.5 | even | 6 | inner | 504.2.ch.b.341.2 | yes | 56 | |
24.5 | odd | 2 | inner | 504.2.ch.b.269.27 | yes | 56 | |
24.11 | even | 2 | 2016.2.cp.b.17.5 | 56 | |||
28.19 | even | 6 | 2016.2.cp.b.593.5 | 56 | |||
56.5 | odd | 6 | inner | 504.2.ch.b.341.19 | yes | 56 | |
56.19 | even | 6 | 2016.2.cp.b.593.24 | 56 | |||
84.47 | odd | 6 | 2016.2.cp.b.593.23 | 56 | |||
168.5 | even | 6 | inner | 504.2.ch.b.341.10 | yes | 56 | |
168.131 | odd | 6 | 2016.2.cp.b.593.6 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
504.2.ch.b.269.2 | ✓ | 56 | 8.5 | even | 2 | inner | |
504.2.ch.b.269.10 | yes | 56 | 1.1 | even | 1 | trivial | |
504.2.ch.b.269.19 | yes | 56 | 3.2 | odd | 2 | inner | |
504.2.ch.b.269.27 | yes | 56 | 24.5 | odd | 2 | inner | |
504.2.ch.b.341.2 | yes | 56 | 21.5 | even | 6 | inner | |
504.2.ch.b.341.10 | yes | 56 | 168.5 | even | 6 | inner | |
504.2.ch.b.341.19 | yes | 56 | 56.5 | odd | 6 | inner | |
504.2.ch.b.341.27 | yes | 56 | 7.5 | odd | 6 | inner | |
2016.2.cp.b.17.5 | 56 | 24.11 | even | 2 | |||
2016.2.cp.b.17.6 | 56 | 4.3 | odd | 2 | |||
2016.2.cp.b.17.23 | 56 | 8.3 | odd | 2 | |||
2016.2.cp.b.17.24 | 56 | 12.11 | even | 2 | |||
2016.2.cp.b.593.5 | 56 | 28.19 | even | 6 | |||
2016.2.cp.b.593.6 | 56 | 168.131 | odd | 6 | |||
2016.2.cp.b.593.23 | 56 | 84.47 | odd | 6 | |||
2016.2.cp.b.593.24 | 56 | 56.19 | even | 6 |