Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [592,2,Mod(319,592)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(592, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("592.319");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 592 = 2^{4} \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 592.be (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: | \(4.72714379966\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} + 46 x^{18} + 885 x^{16} + 9292 x^{14} + 58264 x^{12} + 224256 x^{10} + 523884 x^{8} + 706272 x^{6} + \cdots + 144 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 415.2 | ||
Root | \(2.13532i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 592.415 |
Dual form | 592.2.be.f.495.2 |
$q$-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 \(\left(\mathbb{Z}/592\mathbb{Z}\right)^\times\).
\(n\) | \(113\) | \(149\) | \(223\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(1\) | \(-1\) |
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 | 0 | ||||||||
\(3\) | −1.06766 | + | 1.84924i | −0.616414 | + | 1.06766i | 0.373721 | + | 0.927541i | \(0.378082\pi\) |
−0.990135 | + | 0.140119i | \(0.955252\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.91328 | − | 0.512663i | 0.855647 | − | 0.229270i | 0.195776 | − | 0.980649i | \(-0.437277\pi\) |
0.659871 | + | 0.751379i | \(0.270611\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.95018 | − | 1.12593i | −0.737097 | − | 0.425563i | 0.0839158 | − | 0.996473i | \(-0.473257\pi\) |
−0.821013 | + | 0.570910i | \(0.806591\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.779794 | − | 1.35064i | −0.259931 | − | 0.450214i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −5.67508 | −1.71110 | −0.855550 | − | 0.517720i | \(-0.826781\pi\) | ||||
−0.855550 | + | 0.517720i | \(0.826781\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.75917 | + | 1.00727i | −1.04261 | + | 0.279366i | −0.739193 | − | 0.673493i | \(-0.764793\pi\) |
−0.303414 | + | 0.952859i | \(0.598126\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.09470 | + | 4.08547i | −0.282650 | + | 1.05486i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.686886 | + | 2.56349i | −0.166594 | + | 0.621738i | 0.831237 | + | 0.555918i | \(0.187633\pi\) |
−0.997831 | + | 0.0658205i | \(0.979034\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.0131756 | − | 0.0491721i | −0.00302270 | − | 0.0112809i | 0.964398 | − | 0.264455i | \(-0.0851921\pi\) |
−0.967421 | + | 0.253174i | \(0.918525\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 4.16425 | − | 2.40423i | 0.908713 | − | 0.524646i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 1.92745 | − | 1.92745i | 0.401900 | − | 0.401900i | −0.477002 | − | 0.878902i | \(-0.658277\pi\) |
0.878902 | + | 0.477002i | \(0.158277\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.932291 | + | 0.538259i | −0.186458 | + | 0.107652i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −3.07574 | −0.591926 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −3.06381 | + | 3.06381i | −0.568936 | + | 0.568936i | −0.931830 | − | 0.362895i | \(-0.881788\pi\) |
0.362895 | + | 0.931830i | \(0.381788\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.81995 | + | 4.81995i | 0.865689 | + | 0.865689i | 0.991992 | − | 0.126303i | \(-0.0403111\pi\) |
−0.126303 | + | 0.991992i | \(0.540311\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 6.05905 | − | 10.4946i | 1.05475 | − | 1.82687i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −4.30847 | − | 1.15445i | −0.728264 | − | 0.195138i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.26622 | − | 5.13145i | −0.536963 | − | 0.843606i | ||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 2.15084 | − | 8.02703i | 0.344410 | − | 1.28535i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −7.86172 | − | 4.53897i | −1.22779 | − | 0.708867i | −0.261226 | − | 0.965278i | \(-0.584127\pi\) |
−0.966568 | + | 0.256410i | \(0.917460\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.99745 | + | 2.99745i | −0.457107 | + | 0.457107i | −0.897705 | − | 0.440597i | \(-0.854767\pi\) |
0.440597 | + | 0.897705i | \(0.354767\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −2.18439 | − | 2.18439i | −0.325630 | − | 0.325630i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | − | 0.988615i | − | 0.144204i | −0.997397 | − | 0.0721022i | \(-0.977029\pi\) | ||
0.997397 | − | 0.0721022i | \(-0.0229708\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.964544 | − | 1.67064i | −0.137792 | − | 0.238663i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −4.00716 | − | 4.00716i | −0.561114 | − | 0.561114i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −1.98567 | − | 3.43928i | −0.272753 | − | 0.472422i | 0.696813 | − | 0.717253i | \(-0.254601\pi\) |
−0.969566 | + | 0.244831i | \(0.921267\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −10.8580 | + | 2.90940i | −1.46410 | + | 0.392304i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.104998 | + | 0.0281342i | 0.0139074 | + | 0.00372646i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 7.88178 | + | 2.11192i | 1.02612 | + | 0.274948i | 0.732350 | − | 0.680928i | \(-0.238423\pi\) |
0.293770 | + | 0.955876i | \(0.405090\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.60679 | + | 9.72868i | 0.333765 | + | 1.24563i | 0.905201 | + | 0.424983i | \(0.139720\pi\) |
−0.571436 | + | 0.820647i | \(0.693613\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 3.51199i | 0.442469i | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −6.67598 | + | 3.85438i | −0.828053 | + | 0.478077i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.22176 | − | 2.11615i | 0.149262 | − | 0.258529i | −0.781693 | − | 0.623664i | \(-0.785644\pi\) |
0.930955 | + | 0.365134i | \(0.118977\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 1.50646 | + | 5.62217i | 0.181356 | + | 0.676829i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 10.1023 | + | 5.83257i | 1.19892 | + | 0.692199i | 0.960315 | − | 0.278917i | \(-0.0899754\pi\) |
0.238609 | + | 0.971116i | \(0.423309\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 10.5606i | − | 1.23602i | −0.786169 | − | 0.618011i | \(-0.787939\pi\) | ||
0.786169 | − | 0.618011i | \(-0.212061\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | − | 2.29871i | − | 0.265432i | ||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 11.0674 | + | 6.38976i | 1.26125 | + | 0.728181i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.08068 | − | 7.76521i | −0.234095 | − | 0.873654i | −0.978555 | − | 0.205987i | \(-0.933960\pi\) |
0.744460 | − | 0.667667i | \(-0.232707\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 5.62322 | − | 9.73971i | 0.624803 | − | 1.08219i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −8.83505 | + | 5.10092i | −0.969773 | + | 0.559898i | −0.899167 | − | 0.437606i | \(-0.855827\pi\) |
−0.0706056 | + | 0.997504i | \(0.522493\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 5.25683i | 0.570184i | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −2.39462 | − | 8.93683i | −0.256730 | − | 0.958129i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 7.54755 | + | 2.02236i | 0.800038 | + | 0.214370i | 0.635601 | − | 0.772018i | \(-0.280752\pi\) |
0.164438 | + | 0.986387i | \(0.447419\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 8.46516 | + | 2.26823i | 0.887390 | + | 0.237775i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −14.0593 | + | 3.76718i | −1.45788 | + | 0.390639i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −0.0504175 | − | 0.0873257i | −0.00517273 | − | 0.00895942i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 12.3336 | + | 12.3336i | 1.25229 | + | 1.25229i | 0.954692 | + | 0.297595i | \(0.0961846\pi\) |
0.297595 | + | 0.954692i | \(0.403815\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 4.42539 | + | 7.66500i | 0.444769 | + | 0.770362i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 15.2272i | 1.51516i | 0.652743 | + | 0.757579i | \(0.273618\pi\) | ||||
−0.652743 | + | 0.757579i | \(0.726382\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.73559 | − | 2.73559i | −0.269546 | − | 0.269546i | 0.559371 | − | 0.828917i | \(-0.311043\pi\) |
−0.828917 | + | 0.559371i | \(0.811043\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 6.73483 | − | 6.73483i | 0.657252 | − | 0.657252i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 11.9114 | + | 6.87705i | 1.15152 | + | 0.664829i | 0.949257 | − | 0.314502i | \(-0.101838\pi\) |
0.202262 | + | 0.979332i | \(0.435171\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −4.07703 | + | 15.2157i | −0.390509 | + | 1.45740i | 0.438788 | + | 0.898590i | \(0.355408\pi\) |
−0.829297 | + | 0.558808i | \(0.811259\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 12.9765 | − | 0.561379i | 1.23168 | − | 0.0532838i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −8.15643 | − | 2.18551i | −0.767293 | − | 0.205595i | −0.146118 | − | 0.989267i | \(-0.546678\pi\) |
−0.621175 | + | 0.783672i | \(0.713344\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 2.69962 | − | 4.67588i | 0.251741 | − | 0.436028i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 4.29184 | + | 4.29184i | 0.396781 | + | 0.396781i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 4.22587 | − | 4.22587i | 0.387385 | − | 0.387385i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 21.2065 | 1.92786 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 16.7873 | − | 9.69214i | 1.51366 | − | 0.873911i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −8.51090 | + | 8.51090i | −0.761238 | + | 0.761238i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −9.25682 | + | 5.34443i | −0.821410 | + | 0.474241i | −0.850903 | − | 0.525324i | \(-0.823944\pi\) |
0.0294923 | + | 0.999565i | \(0.490611\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −2.34275 | − | 8.74327i | −0.206268 | − | 0.769802i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −2.32982 | + | 8.69500i | −0.203557 | + | 0.759685i | 0.786327 | + | 0.617810i | \(0.211980\pi\) |
−0.989885 | + | 0.141875i | \(0.954687\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.0296698 | + | 0.110729i | −0.00257270 | + | 0.00960144i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −5.88476 | + | 1.57682i | −0.506480 | + | 0.135711i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −4.60431 | −0.393372 | −0.196686 | − | 0.980466i | \(-0.563018\pi\) | ||||
−0.196686 | + | 0.980466i | \(0.563018\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −7.40299 | − | 12.8223i | −0.627913 | − | 1.08758i | −0.987970 | − | 0.154647i | \(-0.950576\pi\) |
0.360057 | − | 0.932930i | \(-0.382757\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 1.82819 | + | 1.05550i | 0.153961 | + | 0.0888895i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 21.3336 | − | 5.71632i | 1.78400 | − | 0.478023i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −4.29124 | + | 7.43265i | −0.356368 | + | 0.617248i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 4.11922 | 0.339747 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 10.8267 | 0.886956 | 0.443478 | − | 0.896285i | \(-0.353744\pi\) | ||||
0.443478 | + | 0.896285i | \(0.353744\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.01462 | + | 6.95352i | −0.326705 | + | 0.565869i | −0.981856 | − | 0.189629i | \(-0.939272\pi\) |
0.655151 | + | 0.755498i | \(0.272605\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 3.99799 | − | 1.07126i | 0.323219 | − | 0.0866062i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 11.6930 | + | 6.75093i | 0.939200 | + | 0.542248i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −7.36145 | − | 12.7504i | −0.587508 | − | 1.01759i | −0.994558 | − | 0.104188i | \(-0.966776\pi\) |
0.407050 | − | 0.913406i | \(-0.366558\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 8.48008 | 0.672514 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −5.92903 | + | 1.58868i | −0.467273 | + | 0.125206i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.12523 | − | 4.19941i | 0.0881347 | − | 0.328923i | −0.907755 | − | 0.419502i | \(-0.862205\pi\) |
0.995889 | + | 0.0905783i | \(0.0288715\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 6.21250 | − | 23.1854i | 0.483643 | − | 1.80498i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 2.64528 | + | 9.87232i | 0.204698 | + | 0.763943i | 0.989541 | + | 0.144249i | \(0.0460767\pi\) |
−0.784843 | + | 0.619694i | \(0.787257\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.85846 | − | 1.07298i | 0.142958 | − | 0.0825371i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.0561397 | + | 0.0561397i | −0.00429311 | + | 0.00429311i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −3.90504 | + | 2.25457i | −0.296895 | + | 0.171412i | −0.641047 | − | 0.767502i | \(-0.721500\pi\) |
0.344152 | + | 0.938914i | \(0.388166\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.42417 | 0.183250 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −12.3205 | + | 12.3205i | −0.926065 | + | 0.926065i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −14.1173 | − | 14.1173i | −1.05517 | − | 1.05517i | −0.998386 | − | 0.0567887i | \(-0.981914\pi\) |
−0.0567887 | − | 0.998386i | \(-0.518086\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.553271 | − | 0.958294i | 0.0411243 | − | 0.0712295i | −0.844731 | − | 0.535192i | \(-0.820239\pi\) |
0.885855 | + | 0.463962i | \(0.153573\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −20.7738 | − | 5.56633i | −1.53565 | − | 0.411475i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −8.87991 | − | 8.14346i | −0.652864 | − | 0.598719i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 3.89813 | − | 14.5480i | 0.285060 | − | 1.06386i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 5.99823 | + | 3.46308i | 0.436307 | + | 0.251902i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −12.6721 | + | 12.6721i | −0.916924 | + | 0.916924i | −0.996804 | − | 0.0798803i | \(-0.974546\pi\) |
0.0798803 | + | 0.996804i | \(0.474546\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −11.5009 | − | 11.5009i | −0.827851 | − | 0.827851i | 0.159368 | − | 0.987219i | \(-0.449054\pi\) |
−0.987219 | + | 0.159368i | \(0.949054\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | − | 16.4607i | − | 1.17877i | ||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 7.17912 | + | 12.4346i | 0.511491 | + | 0.885928i | 0.999911 | + | 0.0133197i | \(0.00423993\pi\) |
−0.488420 | + | 0.872608i | \(0.662427\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 3.25947 | + | 3.25947i | 0.231058 | + | 0.231058i | 0.813134 | − | 0.582076i | \(-0.197760\pi\) |
−0.582076 | + | 0.813134i | \(0.697760\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 2.60885 | + | 4.51867i | 0.184014 | + | 0.318722i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 9.42462 | − | 2.52532i | 0.661479 | − | 0.177243i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −17.3687 | − | 4.65392i | −1.21308 | − | 0.325044i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −4.10630 | − | 1.10028i | −0.285408 | − | 0.0764748i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0.0747728 | + | 0.279056i | 0.00517214 | + | 0.0193027i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 19.8439i | − | 1.36611i | −0.730367 | − | 0.683055i | \(-0.760651\pi\) | ||
0.730367 | − | 0.683055i | \(-0.239349\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −21.5717 | + | 12.4544i | −1.47807 | + | 0.853362i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −4.19830 | + | 7.27167i | −0.286322 | + | 0.495924i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −3.97280 | − | 14.8267i | −0.269691 | − | 1.00650i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 19.5291 | + | 11.2751i | 1.31965 | + | 0.761901i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | − | 10.3285i | − | 0.694769i | ||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | − | 20.1307i | − | 1.34805i | −0.738708 | − | 0.674026i | \(-0.764564\pi\) | ||
0.738708 | − | 0.674026i | \(-0.235436\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 1.45399 | + | 0.839462i | 0.0969327 | + | 0.0559641i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 4.56138 | + | 17.0233i | 0.302750 | + | 1.12988i | 0.934865 | + | 0.355003i | \(0.115520\pi\) |
−0.632116 | + | 0.774874i | \(0.717813\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 8.63995 | − | 14.9648i | 0.570944 | − | 0.988904i | −0.425526 | − | 0.904946i | \(-0.639911\pi\) |
0.996469 | − | 0.0839572i | \(-0.0267559\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −23.6324 | + | 13.6442i | −1.55490 | + | 0.897721i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 21.1216i | 1.38372i | 0.722032 | + | 0.691860i | \(0.243208\pi\) | ||||
−0.722032 | + | 0.691860i | \(0.756792\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.506827 | − | 1.89150i | −0.0330617 | − | 0.123388i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 16.5812 | + | 4.44292i | 1.07706 | + | 0.288598i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 16.6674 | + | 4.46602i | 1.07813 | + | 0.288883i | 0.753828 | − | 0.657072i | \(-0.228205\pi\) |
0.324298 | + | 0.945955i | \(0.394872\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 24.3368 | − | 6.52102i | 1.56767 | − | 0.420056i | 0.632588 | − | 0.774488i | \(-0.281993\pi\) |
0.935082 | + | 0.354433i | \(0.115326\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 7.39377 | + | 12.8064i | 0.474311 | + | 0.821530i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −2.70192 | − | 2.70192i | −0.172619 | − | 0.172619i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.0990590 | + | 0.171575i | 0.00630297 | + | 0.0109171i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | − | 21.7842i | − | 1.38052i | ||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −2.12209 | − | 2.12209i | −0.133945 | − | 0.133945i | 0.636955 | − | 0.770901i | \(-0.280194\pi\) |
−0.770901 | + | 0.636955i | \(0.780194\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −10.9384 | + | 10.9384i | −0.687691 | + | 0.687691i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −9.72115 | − | 5.61251i | −0.608762 | − | 0.351469i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 1.17447 | − | 4.38318i | 0.0732614 | − | 0.273415i | −0.919572 | − | 0.392921i | \(-0.871464\pi\) |
0.992833 | + | 0.119506i | \(0.0381311\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.592020 | + | 13.6848i | 0.0367864 | + | 0.850331i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 6.52726 | + | 1.74897i | 0.404027 | + | 0.108259i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −4.57169 | + | 7.91840i | −0.281902 | + | 0.488269i | −0.971853 | − | 0.235587i | \(-0.924299\pi\) |
0.689951 | + | 0.723856i | \(0.257632\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −5.56234 | − | 5.56234i | −0.341692 | − | 0.341692i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −11.7980 | + | 11.7980i | −0.722028 | + | 0.722028i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 19.3403 | 1.17920 | 0.589600 | − | 0.807696i | \(-0.299286\pi\) | ||||
0.589600 | + | 0.807696i | \(0.299286\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −11.0097 | + | 6.35645i | −0.668791 | + | 0.386127i | −0.795618 | − | 0.605798i | \(-0.792854\pi\) |
0.126828 | + | 0.991925i | \(0.459521\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −13.2324 | + | 13.2324i | −0.800863 | + | 0.800863i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 5.29082 | − | 3.05466i | 0.319049 | − | 0.184203i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −1.72198 | − | 6.42650i | −0.103463 | − | 0.386131i | 0.894703 | − | 0.446662i | \(-0.147387\pi\) |
−0.998166 | + | 0.0605309i | \(0.980721\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 2.75146 | − | 10.2686i | 0.164726 | − | 0.614765i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −3.90982 | + | 14.5917i | −0.233241 | + | 0.870466i | 0.745693 | + | 0.666289i | \(0.232118\pi\) |
−0.978934 | + | 0.204177i | \(0.934548\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −21.0193 | + | 5.63210i | −1.24947 | + | 0.334793i | −0.822130 | − | 0.569300i | \(-0.807214\pi\) |
−0.427336 | + | 0.904093i | \(0.640548\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0.215315 | 0.0127542 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 10.2212 | + | 17.7036i | 0.603336 | + | 1.04501i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.62275 | + | 4.97834i | 0.507220 | + | 0.292844i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −35.9759 | + | 9.63971i | −2.10894 | + | 0.565090i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 13.5862 | − | 23.5321i | 0.793717 | − | 1.37476i | −0.129934 | − | 0.991523i | \(-0.541476\pi\) |
0.923651 | − | 0.383236i | \(-0.125190\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 16.1628 | 0.941034 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 17.4551 | 1.01284 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −5.30415 | + | 9.18705i | −0.306747 | + | 0.531301i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 9.22049 | − | 2.47062i | 0.531460 | − | 0.142404i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −28.1587 | − | 16.2574i | −1.61767 | − | 0.933964i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 9.97507 | + | 17.2773i | 0.571171 | + | 0.989297i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −27.6388 | −1.57743 | −0.788714 | − | 0.614760i | \(-0.789253\pi\) | ||||
−0.788714 | + | 0.614760i | \(0.789253\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 7.97944 | − | 2.13809i | 0.453935 | − | 0.121631i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −1.40177 | + | 5.23147i | −0.0794870 | + | 0.296649i | −0.994213 | − | 0.107425i | \(-0.965740\pi\) |
0.914726 | + | 0.404074i | \(0.132406\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 3.29391 | − | 12.2930i | 0.186183 | − | 0.694843i | −0.808192 | − | 0.588920i | \(-0.799553\pi\) |
0.994374 | − | 0.105923i | \(-0.0337799\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 1.80047 | + | 6.71943i | 0.101445 | + | 0.378597i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −22.3927 | + | 12.9284i | −1.25770 | + | 0.726133i | −0.972627 | − | 0.232373i | \(-0.925351\pi\) |
−0.285072 | + | 0.958506i | \(0.592018\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 17.3874 | − | 17.3874i | 0.973506 | − | 0.973506i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −25.4346 | + | 14.6847i | −1.41962 | + | 0.819620i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0.135103 | 0.00751731 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.96247 | − | 2.96247i | 0.164328 | − | 0.164328i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −23.7846 | − | 23.7846i | −1.31529 | − | 1.31529i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −1.11312 | + | 1.92797i | −0.0613680 | + | 0.106293i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −31.2513 | − | 8.37376i | −1.71773 | − | 0.460264i | −0.740429 | − | 0.672134i | \(-0.765378\pi\) |
−0.977298 | + | 0.211870i | \(0.932045\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −4.38378 | + | 8.41297i | −0.240230 | + | 0.461028i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 1.25271 | − | 4.67516i | 0.0684426 | − | 0.255431i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −18.3851 | − | 10.6146i | −1.00150 | − | 0.578215i | −0.0928069 | − | 0.995684i | \(-0.529584\pi\) |
−0.908691 | + | 0.417469i | \(0.862917\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 12.7498 | − | 12.7498i | 0.692476 | − | 0.692476i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −27.3536 | − | 27.3536i | −1.48128 | − | 1.48128i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 20.1071i | 1.08568i | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 5.76456 | + | 9.98450i | 0.310353 | + | 0.537548i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 5.27864 | + | 5.27864i | 0.283372 | + | 0.283372i | 0.834452 | − | 0.551080i | \(-0.185784\pi\) |
−0.551080 | + | 0.834452i | \(0.685784\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 6.51785 | + | 11.2892i | 0.348892 | + | 0.604299i | 0.986053 | − | 0.166432i | \(-0.0532245\pi\) |
−0.637161 | + | 0.770731i | \(0.719891\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 11.5622 | − | 3.09809i | 0.617146 | − | 0.165364i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −27.4807 | − | 7.36343i | −1.46265 | − | 0.391916i | −0.562246 | − | 0.826970i | \(-0.690063\pi\) |
−0.900404 | + | 0.435054i | \(0.856729\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 22.3187 | + | 5.98029i | 1.18456 | + | 0.317401i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 3.30286 | + | 12.3265i | 0.174806 | + | 0.652385i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | − | 17.6841i | − | 0.933332i | −0.884434 | − | 0.466666i | \(-0.845455\pi\) | ||
0.884434 | − | 0.466666i | \(-0.154545\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 16.4522 | − | 9.49870i | 0.865907 | − | 0.499932i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −22.6413 | + | 39.2159i | −1.18836 | + | 2.05830i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −5.41402 | − | 20.2054i | −0.283383 | − | 1.05760i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −0.618590 | − | 0.357143i | −0.0322902 | − | 0.0186427i | 0.483768 | − | 0.875196i | \(-0.339268\pi\) |
−0.516058 | + | 0.856554i | \(0.672601\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 14.1578i | 0.737028i | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 8.94294i | 0.464294i | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 0.791678 | + | 0.457076i | 0.0409916 | + | 0.0236665i | 0.520356 | − | 0.853950i | \(-0.325799\pi\) |
−0.479364 | + | 0.877616i | \(0.659133\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −6.65196 | − | 24.8255i | −0.343506 | − | 1.28198i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 8.43132 | − | 14.6035i | 0.434235 | − | 0.752117i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −19.9632 | + | 11.5257i | −1.02544 | + | 0.592037i | −0.915674 | − | 0.401921i | \(-0.868343\pi\) |
−0.109764 | + | 0.993958i | \(0.535009\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | − | 22.8241i | − | 1.16932i | ||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 2.67353 | + | 9.97776i | 0.136611 | + | 0.509840i | 0.999986 | + | 0.00527685i | \(0.00167968\pi\) |
−0.863375 | + | 0.504563i | \(0.831654\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 24.4509 | + | 6.55159i | 1.24613 | + | 0.333900i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 6.38589 | + | 1.71109i | 0.324613 | + | 0.0869797i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 13.8749 | − | 3.71777i | 0.703485 | − | 0.188498i | 0.110694 | − | 0.993855i | \(-0.464693\pi\) |
0.592791 | + | 0.805356i | \(0.298026\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3.61706 | + | 6.26493i | 0.182923 | + | 0.316831i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −13.5917 | − | 13.5917i | −0.685610 | − | 0.685610i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −7.96187 | − | 13.7904i | −0.400605 | − | 0.693868i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 33.4451i | − | 1.67856i | −0.543698 | − | 0.839281i | \(-0.682976\pi\) | ||
0.543698 | − | 0.839281i | \(-0.317024\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −0.173088 | − | 0.173088i | −0.00866522 | − | 0.00866522i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −16.7318 | + | 16.7318i | −0.835547 | + | 0.835547i | −0.988269 | − | 0.152722i | \(-0.951196\pi\) |
0.152722 | + | 0.988269i | \(0.451196\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −22.9740 | − | 13.2640i | −1.14442 | − | 0.660729i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 5.76564 | − | 21.5177i | 0.286497 | − | 1.06922i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 18.5360 | + | 29.1214i | 0.918798 | + | 1.44349i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 18.2095 | + | 4.87921i | 0.900400 | + | 0.241262i | 0.679188 | − | 0.733964i | \(-0.262332\pi\) |
0.221212 | + | 0.975226i | \(0.428999\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 4.91583 | − | 8.51447i | 0.242480 | − | 0.419988i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −12.9930 | − | 12.9930i | −0.639342 | − | 0.639342i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −14.2889 | + | 14.2889i | −0.701415 | + | 0.701415i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 31.6155 | 1.54822 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 11.8842 | − | 6.86137i | 0.580583 | − | 0.335200i | −0.180782 | − | 0.983523i | \(-0.557863\pi\) |
0.761365 | + | 0.648324i | \(0.224530\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 1.01688 | − | 1.01688i | 0.0495599 | − | 0.0495599i | −0.681893 | − | 0.731452i | \(-0.738843\pi\) |
0.731452 | + | 0.681893i | \(0.238843\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −1.33527 | + | 0.770916i | −0.0649229 | + | 0.0374832i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −0.739444 | − | 2.75964i | −0.0358683 | − | 0.133862i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 5.87015 | − | 21.9077i | 0.284077 | − | 1.06019i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −12.2062 | + | 45.5540i | −0.589319 | + | 2.19937i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 22.9450 | − | 6.14809i | 1.10522 | − | 0.296143i | 0.340332 | − | 0.940305i | \(-0.389460\pi\) |
0.764889 | + | 0.644162i | \(0.222794\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −25.2499 | −1.21343 | −0.606717 | − | 0.794918i | \(-0.707514\pi\) | ||||
−0.606717 | + | 0.794918i | \(0.707514\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −9.16317 | − | 15.8711i | −0.439340 | − | 0.760960i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −0.120172 | − | 0.0693813i | −0.00574861 | − | 0.00331896i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 35.1016 | − | 9.40545i | 1.67531 | − | 0.448898i | 0.708775 | − | 0.705435i | \(-0.249248\pi\) |
0.966534 | + | 0.256537i | \(0.0825817\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −1.50429 | + | 2.60551i | −0.0716329 | + | 0.124072i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 10.9810 | 0.521721 | 0.260861 | − | 0.965377i | \(-0.415994\pi\) | ||||
0.260861 | + | 0.965377i | \(0.415994\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 15.4774 | 0.733699 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −11.5592 | + | 20.0211i | −0.546732 | + | 0.946967i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −24.6596 | + | 6.60753i | −1.16376 | + | 0.311829i | −0.788467 | − | 0.615077i | \(-0.789125\pi\) |
−0.375293 | + | 0.926906i | \(0.622458\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 44.6159 | + | 25.7590i | 2.10088 | + | 1.21294i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −8.57249 | − | 14.8480i | −0.402771 | − | 0.697619i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 17.3591 | 0.813808 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −26.4357 | + | 7.08341i | −1.23661 | + | 0.331348i | −0.817149 | − | 0.576426i | \(-0.804447\pi\) |
−0.419459 | + | 0.907774i | \(0.637780\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 2.11268 | − | 7.88464i | 0.0986115 | − | 0.368023i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 0.650510 | − | 2.42774i | 0.0302973 | − | 0.113071i | −0.949121 | − | 0.314911i | \(-0.898025\pi\) |
0.979419 | + | 0.201840i | \(0.0646921\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −3.77583 | − | 14.0916i | −0.175478 | − | 0.654891i | −0.996470 | − | 0.0839518i | \(-0.973246\pi\) |
0.820992 | − | 0.570939i | \(-0.193421\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −24.9682 | + | 14.4154i | −1.15787 | + | 0.668498i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 16.2065 | − | 16.2065i | 0.749948 | − | 0.749948i | −0.224521 | − | 0.974469i | \(-0.572082\pi\) |
0.974469 | + | 0.224521i | \(0.0720819\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −4.76530 | + | 2.75125i | −0.220041 | + | 0.127041i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 31.4381 | 1.44859 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 17.0108 | − | 17.0108i | 0.782156 | − | 0.782156i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.0387509 | + | 0.0387509i | 0.00177801 | + | 0.00177801i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −3.09683 | + | 5.36386i | −0.141794 | + | 0.245594i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −10.3294 | − | 2.76775i | −0.471961 | − | 0.126462i | 0.0149958 | − | 0.999888i | \(-0.495227\pi\) |
−0.486957 | + | 0.873426i | \(0.661893\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 17.4470 | + | 16.0001i | 0.795516 | + | 0.729540i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 3.39234 | − | 12.6604i | 0.154357 | − | 0.576067i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 29.9207 | + | 17.2747i | 1.35863 | + | 0.784404i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 22.7820 | − | 22.7820i | 1.03235 | − | 1.03235i | 0.0328917 | − | 0.999459i | \(-0.489528\pi\) |
0.999459 | − | 0.0328917i | \(-0.0104717\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 6.56436 | + | 6.56436i | 0.296851 | + | 0.296851i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 38.1666i | − | 1.72243i | −0.508237 | − | 0.861217i | \(-0.669703\pi\) | ||
0.508237 | − | 0.861217i | \(-0.330297\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −5.74957 | − | 9.95855i | −0.258948 | − | 0.448511i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 12.3966 | + | 12.3966i | 0.557186 | + | 0.557186i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −13.1342 | − | 22.7491i | −0.589149 | − | 1.02044i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −10.5484 | + | 2.82644i | −0.472213 | + | 0.126529i | −0.487074 | − | 0.873361i | \(-0.661936\pi\) |
0.0148615 | + | 0.999890i | \(0.495269\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −21.0806 | − | 5.64852i | −0.941810 | − | 0.252357i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −21.9016 | − | 5.86852i | −0.976544 | − | 0.261664i | −0.264956 | − | 0.964261i | \(-0.585357\pi\) |
−0.711589 | + | 0.702596i | \(0.752024\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 7.80640 | + | 29.1339i | 0.347380 | + | 1.29644i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 4.58232i | 0.203508i | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −32.7328 | + | 18.8983i | −1.45086 | + | 0.837652i | −0.998530 | − | 0.0542004i | \(-0.982739\pi\) |
−0.452326 | + | 0.891853i | \(0.649406\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −11.8905 | + | 20.5950i | −0.526006 | + | 0.911068i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0.0405248 | + | 0.151241i | 0.00178921 | + | 0.00667744i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −6.63640 | − | 3.83153i | −0.292435 | − | 0.168837i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 5.61047i | 0.246748i | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | − | 9.62847i | − | 0.422643i | ||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −0.727458 | − | 0.419998i | −0.0318705 | − | 0.0184004i | 0.483980 | − | 0.875079i | \(-0.339191\pi\) |
−0.515851 | + | 0.856679i | \(0.672524\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 2.70747 | + | 10.1044i | 0.118389 | + | 0.441835i | 0.999518 | − | 0.0310414i | \(-0.00988237\pi\) |
−0.881129 | + | 0.472876i | \(0.843216\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −2.58819 | + | 4.48288i | −0.112958 | + | 0.195649i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −15.6667 | + | 9.04516i | −0.682451 | + | 0.394013i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 15.5699i | 0.676952i | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −3.29372 | − | 12.2923i | −0.142935 | − | 0.533441i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 34.1255 | + | 9.14390i | 1.47814 | + | 0.396066i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 26.3155 | + | 7.05122i | 1.13772 | + | 0.304851i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 41.1787 | − | 11.0338i | 1.77699 | − | 0.476144i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 5.47386 | + | 9.48100i | 0.235776 | + | 0.408376i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 25.7834 | + | 25.7834i | 1.10851 | + | 1.10851i | 0.993346 | + | 0.115168i | \(0.0367405\pi\) |
0.115168 | + | 0.993346i | \(0.463259\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 1.18141 | + | 2.04626i | 0.0506992 | + | 0.0878136i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 31.2021i | 1.33655i | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 7.31894 | + | 7.31894i | 0.312935 | + | 0.312935i | 0.846046 | − | 0.533110i | \(-0.178977\pi\) |
−0.533110 | + | 0.846046i | \(0.678977\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 11.1072 | − | 11.1072i | 0.474044 | − | 0.474044i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0.191022 | + | 0.110287i | 0.00813781 | + | 0.00469836i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −4.68542 | + | 17.4862i | −0.199244 | + | 0.743590i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 24.5399 | − | 7.72665i | 1.04166 | − | 0.327978i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 3.53484 | + | 0.947158i | 0.149776 | + | 0.0401324i | 0.332928 | − | 0.942952i | \(-0.391963\pi\) |
−0.183152 | + | 0.983085i | \(0.558630\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 8.24871 | − | 14.2872i | 0.348883 | − | 0.604283i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 22.7409 | + | 22.7409i | 0.960122 | + | 0.960122i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −25.9958 | + | 25.9958i | −1.09559 | + | 1.09559i | −0.100674 | + | 0.994920i | \(0.532100\pi\) |
−0.994920 | + | 0.100674i | \(0.967900\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −16.7260 | −0.703669 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −21.9325 | + | 12.6628i | −0.921080 | + | 0.531786i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 5.78067 | − | 5.78067i | 0.242338 | − | 0.242338i | −0.575479 | − | 0.817817i | \(-0.695184\pi\) |
0.817817 | + | 0.575479i | \(0.195184\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −35.3140 | + | 20.3885i | −1.47785 | + | 0.853234i | −0.999686 | − | 0.0250393i | \(-0.992029\pi\) |
−0.478159 | + | 0.878274i | \(0.658696\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −9.90431 | − | 36.9634i | −0.413758 | − | 1.54417i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −0.759476 | + | 2.83440i | −0.0316724 | + | 0.118203i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 7.53300 | − | 28.1136i | 0.313603 | − | 1.17038i | −0.611680 | − | 0.791105i | \(-0.709506\pi\) |
0.925283 | − | 0.379277i | \(-0.123827\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 33.5469 | − | 8.98886i | 1.39416 | − | 0.373564i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 22.9732 | 0.953089 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 11.2688 | + | 19.5182i | 0.466707 | + | 0.808361i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 10.4118 | + | 6.01124i | 0.430474 | + | 0.248534i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 13.7899 | − | 3.69500i | 0.569172 | − | 0.152509i | 0.0372550 | − | 0.999306i | \(-0.488139\pi\) |
0.531917 | + | 0.846797i | \(0.321472\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.173501 | − | 0.300513i | 0.00714900 | − | 0.0123824i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −30.6594 | −1.26116 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −9.47781 | −0.389207 | −0.194604 | − | 0.980882i | \(-0.562342\pi\) | ||||
−0.194604 | + | 0.980882i | \(0.562342\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 5.91885 | − | 10.2517i | 0.242649 | − | 0.420281i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −9.50756 | + | 2.54754i | −0.389118 | + | 0.104264i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 18.3073 | + | 10.5697i | 0.748017 | + | 0.431868i | 0.824977 | − | 0.565167i | \(-0.191188\pi\) |
−0.0769603 | + | 0.997034i | \(0.524521\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −3.90941 | − | 6.77129i | −0.159468 | − | 0.276207i | 0.775209 | − | 0.631705i | \(-0.217645\pi\) |
−0.934677 | + | 0.355498i | \(0.884311\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −3.81089 | −0.155192 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 40.5741 | − | 10.8718i | 1.64957 | − | 0.442001i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 5.19164 | − | 19.3755i | 0.210722 | − | 0.786426i | −0.776907 | − | 0.629616i | \(-0.783212\pi\) |
0.987629 | − | 0.156810i | \(-0.0501210\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −5.39236 | + | 20.1246i | −0.218510 | + | 0.815489i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0.995799 | + | 3.71637i | 0.0402857 | + | 0.150348i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −6.53079 | + | 3.77055i | −0.263776 | + | 0.152291i | −0.626056 | − | 0.779778i | \(-0.715332\pi\) |
0.362280 | + | 0.932069i | \(0.381998\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 27.1501 | − | 27.1501i | 1.09480 | − | 1.09480i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −22.2729 | + | 12.8593i | −0.896674 | + | 0.517695i | −0.876120 | − | 0.482094i | \(-0.839876\pi\) |
−0.0205541 | + | 0.999789i | \(0.506543\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −23.3558 | −0.938750 | −0.469375 | − | 0.882999i | \(-0.655521\pi\) | ||||
−0.469375 | + | 0.882999i | \(0.655521\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −5.92832 | + | 5.92832i | −0.237895 | + | 0.237895i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −12.4420 | − | 12.4420i | −0.498478 | − | 0.498478i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −9.22926 | + | 15.9856i | −0.369171 | + | 0.639422i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −0.595873 | − | 0.159664i | −0.0237969 | − | 0.00637635i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 15.3980 | − | 4.84821i | 0.613957 | − | 0.193311i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −6.36974 | + | 23.7722i | −0.253575 | + | 0.946356i | 0.715302 | + | 0.698816i | \(0.246289\pi\) |
−0.968877 | + | 0.247541i | \(0.920378\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 36.6962 | + | 21.1865i | 1.45854 | + | 0.842089i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −14.9710 | + | 14.9710i | −0.594108 | + | 0.594108i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 5.30867 | + | 5.30867i | 0.210337 | + | 0.210337i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | − | 18.1928i | − | 0.719697i | ||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 1.11113 | + | 1.92453i | 0.0438869 | + | 0.0760144i | 0.887134 | − | 0.461511i | \(-0.152693\pi\) |
−0.843248 | + | 0.537525i | \(0.819359\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 28.1467 | + | 28.1467i | 1.11000 | + | 1.11000i | 0.993150 | + | 0.116850i | \(0.0372796\pi\) |
0.116850 | + | 0.993150i | \(0.462720\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −8.96471 | − | 15.5273i | −0.352985 | − | 0.611388i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 16.4045 | − | 4.39558i | 0.644928 | − | 0.172808i | 0.0784934 | − | 0.996915i | \(-0.474989\pi\) |
0.566435 | + | 0.824107i | \(0.308322\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −44.7297 | − | 11.9853i | −1.75579 | − | 0.470463i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 31.6597 | + | 8.48320i | 1.24084 | + | 0.332483i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 8.89129 | + | 33.1828i | 0.347943 | + | 1.29854i | 0.889136 | + | 0.457643i | \(0.151306\pi\) |
−0.541193 | + | 0.840899i | \(0.682027\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 17.8304i | 0.696692i | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −14.2636 | + | 8.23508i | −0.556475 | + | 0.321281i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 13.9451 | − | 24.1537i | 0.543226 | − | 0.940894i | −0.455491 | − | 0.890241i | \(-0.650536\pi\) |
0.998716 | − | 0.0506539i | \(-0.0161305\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −11.4500 | − | 42.7320i | −0.445354 | − | 1.66208i | −0.715001 | − | 0.699124i | \(-0.753574\pi\) |
0.269647 | − | 0.962959i | \(-0.413093\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 19.0999 | + | 11.0273i | 0.741777 | + | 0.428265i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0.227067i | 0.00880529i | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 11.8107i | 0.457311i | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 37.2265 | + | 21.4927i | 1.43926 | + | 0.830957i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −14.7937 | − | 55.2110i | −0.571106 | − | 2.13140i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −15.0859 | + | 26.1295i | −0.581518 | + | 1.00722i | 0.413782 | + | 0.910376i | \(0.364208\pi\) |
−0.995300 | + | 0.0968422i | \(0.969126\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 2.86748 | − | 1.65554i | 0.110370 | − | 0.0637219i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | − | 14.7571i | − | 0.567162i | −0.958948 | − | 0.283581i | \(-0.908477\pi\) | ||
0.958948 | − | 0.283581i | \(-0.0915225\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −10.1659 | − | 37.9395i | −0.390130 | − | 1.45598i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −36.3502 | − | 9.74001i | −1.39294 | − | 0.373238i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 1.78383 | + | 0.477975i | 0.0682562 | + | 0.0182892i | 0.292786 | − | 0.956178i | \(-0.405418\pi\) |
−0.224529 | + | 0.974467i | \(0.572084\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −8.80935 | + | 2.36046i | −0.336588 | + | 0.0901885i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 18.4490 | + | 31.9547i | 0.703875 | + | 1.21915i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 10.9287 | + | 10.9287i | 0.416352 | + | 0.416352i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 5.53148 | + | 9.58080i | 0.210427 | + | 0.364471i | 0.951848 | − | 0.306569i | \(-0.0991812\pi\) |
−0.741421 | + | 0.671040i | \(0.765848\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | − | 19.9308i | − | 0.757109i | ||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −20.7376 | − | 20.7376i | −0.786621 | − | 0.786621i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 17.0357 | − | 17.0357i | 0.645274 | − | 0.645274i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −39.0588 | − | 22.5506i | −1.47734 | − | 0.852943i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 8.97424 | − | 33.4923i | 0.338952 | − | 1.26499i | −0.560568 | − | 0.828109i | \(-0.689417\pi\) |
0.899520 | − | 0.436879i | \(-0.143916\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.209290 | + | 0.228217i | −0.00789352 | + | 0.00860737i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 4.03896 | + | 1.08224i | 0.152116 | + | 0.0407594i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 17.1448 | − | 29.6956i | 0.644796 | − | 1.11682i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 4.68625 | + | 4.68625i | 0.175996 | + | 0.175996i | 0.789608 | − | 0.613612i | \(-0.210284\pi\) |
−0.613612 | + | 0.789608i | \(0.710284\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −8.86552 | + | 8.86552i | −0.332483 | + | 0.332483i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 18.5804 | 0.695841 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 37.8867 | − | 21.8739i | 1.41688 | − | 0.818037i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −26.0539 | + | 26.0539i | −0.973001 | + | 0.973001i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −26.6281 | + | 15.3737i | −0.993061 | + | 0.573344i | −0.906188 | − | 0.422876i | \(-0.861021\pi\) |
−0.0868728 | + | 0.996219i | \(0.527687\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 2.25479 | + | 8.41498i | 0.0839726 | + | 0.313390i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −13.9245 | + | 51.9668i | −0.517856 | + | 1.93267i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 1.20724 | − | 4.50549i | 0.0448358 | − | 0.167330i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −21.6467 | + | 5.80021i | −0.802831 | + | 0.215118i | −0.636827 | − | 0.771007i | \(-0.719753\pi\) |
−0.166004 | + | 0.986125i | \(0.553087\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 2.16322 | 0.0801193 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −5.62504 | − | 9.74286i | −0.208050 | − | 0.360353i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −12.8600 | − | 7.42475i | −0.474997 | − | 0.274239i | 0.243332 | − | 0.969943i | \(-0.421759\pi\) |
−0.718329 | + | 0.695704i | \(0.755093\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 7.88124 | − | 2.11177i | 0.290704 | − | 0.0778939i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −6.93359 | + | 12.0093i | −0.255402 | + | 0.442370i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 23.3413 | 0.858622 | 0.429311 | − | 0.903157i | \(-0.358756\pi\) | ||||
0.429311 | + | 0.903157i | \(0.358756\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −0.423045 | −0.0155410 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −20.0523 | + | 34.7317i | −0.735649 | + | 1.27418i | 0.218789 | + | 0.975772i | \(0.429789\pi\) |
−0.954438 | + | 0.298410i | \(0.903544\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 20.7145 | − | 5.55044i | 0.758921 | − | 0.203352i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 13.7790 | + | 7.95533i | 0.504149 | + | 0.291070i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −15.4862 | − | 26.8229i | −0.565854 | − | 0.980088i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 13.6589 | 0.498419 | 0.249210 | − | 0.968450i | \(-0.419829\pi\) | ||||
0.249210 | + | 0.968450i | \(0.419829\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 6.18993 | − | 1.65859i | 0.225574 | − | 0.0604423i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −4.11629 | + | 15.3622i | −0.149807 | + | 0.559088i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −7.43899 | + | 27.7627i | −0.270375 | + | 1.00905i | 0.688503 | + | 0.725233i | \(0.258268\pi\) |
−0.958878 | + | 0.283819i | \(0.908399\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −8.54925 | − | 31.9062i | −0.310318 | − | 1.15812i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −20.9998 | + | 12.1243i | −0.761244 | + | 0.439504i | −0.829742 | − | 0.558147i | \(-0.811513\pi\) |
0.0684983 | + | 0.997651i | \(0.478179\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 25.0828 | − | 25.0828i | 0.908058 | − | 0.908058i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 7.10011 | − | 4.09925i | 0.256705 | − | 0.148209i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −31.7562 | −1.14665 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 1.71561 | − | 1.71561i | 0.0618664 | − | 0.0618664i | −0.675497 | − | 0.737363i | \(-0.736071\pi\) |
0.737363 | + | 0.675497i | \(0.236071\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 6.85162 | + | 6.85162i | 0.246755 | + | 0.246755i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 17.0308 | − | 29.4983i | 0.612556 | − | 1.06098i | −0.378252 | − | 0.925703i | \(-0.623475\pi\) |
0.990808 | − | 0.135276i | \(-0.0431920\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −7.08798 | − | 1.89922i | −0.254608 | − | 0.0682219i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −25.9385 | − | 13.5159i | −0.930540 | − | 0.484880i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −0.119608 | + | 0.446381i | −0.00428539 | + | 0.0159933i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −57.3314 | − | 33.1003i | −2.05148 | − | 1.18442i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 9.42349 | − | 9.42349i | 0.336768 | − | 0.336768i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −20.6212 | − | 20.6212i | −0.736003 | − | 0.736003i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | − | 22.9532i | − | 0.818192i | −0.912491 | − | 0.409096i | \(-0.865844\pi\) | ||
0.912491 | − | 0.409096i | \(-0.134156\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −9.76202 | − | 16.9083i | −0.347537 | − | 0.601952i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 13.4457 | + | 13.4457i | 0.478075 | + | 0.478075i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −19.5988 | − | 33.9460i | −0.695972 | − | 1.20546i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 16.2248 | − | 4.34742i | 0.575435 | − | 0.154187i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 42.7655 | + | 11.4590i | 1.51483 | + | 0.405898i | 0.918037 | − | 0.396495i | \(-0.129773\pi\) |
0.596796 | + | 0.802393i | \(0.296440\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 2.53431 | + | 0.679066i | 0.0896574 | + | 0.0240236i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −3.15405 | − | 11.7711i | −0.111443 | − | 0.415910i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 59.9321i | 2.11496i | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −10.5295 | + | 6.07920i | −0.371115 | + | 0.214263i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −20.6489 | + | 35.7649i | −0.726874 | + | 1.25898i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 9.98302 | + | 37.2572i | 0.350984 | + | 1.30989i | 0.885463 | + | 0.464710i | \(0.153841\pi\) |
−0.534479 | + | 0.845182i | \(0.679492\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −19.2356 | − | 11.1057i | −0.675453 | − | 0.389973i | 0.122687 | − | 0.992445i | \(-0.460849\pi\) |
−0.798140 | + | 0.602473i | \(0.794182\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | − | 27.1461i | − | 0.952055i | ||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | − | 8.61153i | − | 0.301649i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.186885 | + | 0.107898i | 0.00653826 | + | 0.00377487i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −3.53751 | − | 13.2022i | −0.123611 | − | 0.461321i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 0.540585 | − | 0.936320i | 0.0188665 | − | 0.0326778i | −0.856438 | − | 0.516250i | \(-0.827328\pi\) |
0.875305 | + | 0.483572i | \(0.160661\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −38.2411 | + | 22.0785i | −1.33300 | + | 0.769609i | −0.985759 | − | 0.168166i | \(-0.946216\pi\) |
−0.347243 | + | 0.937775i | \(0.612882\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 13.0453i | 0.454181i | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −11.2796 | − | 42.0959i | −0.392228 | − | 1.46382i | −0.826450 | − | 0.563010i | \(-0.809643\pi\) |
0.434222 | − | 0.900806i | \(-0.357024\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −44.0396 | − | 11.8004i | −1.52956 | − | 0.409844i | −0.606683 | − | 0.794944i | \(-0.707500\pi\) |
−0.922875 | + | 0.385100i | \(0.874167\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 13.7226 | + | 3.67697i | 0.476033 | + | 0.127553i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 4.94520 | − | 1.32506i | 0.171341 | − | 0.0459107i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 10.1224 | + | 17.5324i | 0.350298 | + | 0.606735i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −14.8249 | − | 14.8249i | −0.512424 | − | 0.512424i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −11.9206 | − | 20.6471i | −0.411545 | − | 0.712817i | 0.583514 | − | 0.812103i | \(-0.301677\pi\) |
−0.995059 | + | 0.0992863i | \(0.968344\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 10.2261i | 0.352625i | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −22.8091 | − | 22.8091i | −0.785588 | − | 0.785588i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 3.00568 | − | 3.00568i | 0.103399 | − | 0.103399i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −41.3564 | − | 23.8771i | −1.42102 | − | 0.820428i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 12.0263 | − | 44.8828i | 0.412742 | − | 1.54038i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −16.1861 | − | 3.59514i | −0.554851 | − | 0.123240i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 47.7130 | + | 12.7847i | 1.63366 | + | 0.437739i | 0.954974 | − | 0.296688i | \(-0.0958822\pi\) |
0.678688 | + | 0.734427i | \(0.262549\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −0.0786305 | + | 0.136192i | −0.00268911 | + | 0.00465767i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 0.772015 | + | 0.772015i | 0.0263715 | + | 0.0263715i | 0.720170 | − | 0.693798i | \(-0.244064\pi\) |
−0.693798 | + | 0.720170i | \(0.744064\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 38.4311 | − | 38.4311i | 1.31125 | − | 1.31125i | 0.390758 | − | 0.920493i | \(-0.372213\pi\) |
0.920493 | − | 0.390758i | \(-0.127787\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −43.6509 | −1.48762 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −23.1050 | + | 13.3397i | −0.786503 | + | 0.454088i | −0.838730 | − | 0.544548i | \(-0.816701\pi\) |
0.0522272 | + | 0.998635i | \(0.483368\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −6.31561 | + | 6.31561i | −0.214737 | + | 0.214737i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −18.4123 | + | 10.6304i | −0.625315 | + | 0.361026i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 11.8080 | + | 44.0681i | 0.400560 | + | 1.49491i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −2.46128 | + | 9.18563i | −0.0833974 | + | 0.311243i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 7.04062 | − | 26.2760i | 0.238289 | − | 0.889307i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 26.1805 | − | 7.01504i | 0.885061 | − | 0.237151i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 6.94063 | 0.234369 | 0.117184 | − | 0.993110i | \(-0.462613\pi\) | ||||
0.117184 | + | 0.993110i | \(0.462613\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 29.0110 | + | 50.2485i | 0.978516 | + | 1.69484i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −27.6087 | − | 15.9399i | −0.930160 | − | 0.537028i | −0.0432977 | − | 0.999062i | \(-0.513786\pi\) |
−0.886862 | + | 0.462034i | \(0.847120\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −30.5105 | + | 8.17527i | −1.02676 | + | 0.275120i | −0.732617 | − | 0.680642i | \(-0.761701\pi\) |
−0.294144 | + | 0.955761i | \(0.595034\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −17.2564 | + | 29.8889i | −0.580066 | + | 1.00470i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 0.203076 | 0.00681861 | 0.00340931 | − | 0.999994i | \(-0.498915\pi\) | ||||
0.00340931 | + | 0.999994i | \(0.498915\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 24.0699 | 0.807279 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −31.9122 | + | 55.2736i | −1.06910 | + | 1.85174i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −0.0486123 | + | 0.0130256i | −0.00162675 | + | 0.000435886i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −34.2478 | − | 19.7730i | −1.14478 | − | 0.660937i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −11.3260 | − | 19.6173i | −0.378166 | − | 0.655002i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −29.5348 | −0.985042 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 10.1805 | − | 2.72786i | 0.339162 | − | 0.0908781i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −5.27557 | + | 19.6887i | −0.175560 | + | 0.655199i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 0.567284 | − | 2.11713i | 0.0188572 | − | 0.0703758i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −7.97836 | − | 29.7756i | −0.264917 | − | 0.988684i | −0.962301 | − | 0.271986i | \(-0.912319\pi\) |
0.697384 | − | 0.716698i | \(-0.254347\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 20.5665 | − | 11.8740i | 0.682146 | − | 0.393837i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −28.5040 | + | 28.5040i | −0.944380 | + | 0.944380i | −0.998533 | − | 0.0541524i | \(-0.982754\pi\) |
0.0541524 | + | 0.998533i | \(0.482754\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 50.1396 | − | 28.9481i | 1.65938 | − | 0.958042i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −42.5999 | −1.40831 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 14.3335 | − | 14.3335i | 0.473335 | − | 0.473335i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 21.5496 | + | 21.5496i | 0.710857 | + | 0.710857i | 0.966714 | − | 0.255858i | \(-0.0823578\pi\) |
−0.255858 | + | 0.966714i | \(0.582358\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 29.5088 | − | 51.1107i | 0.972348 | − | 1.68416i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −43.8513 | − | 11.7499i | −1.44338 | − | 0.386753i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 5.80712 | + | 3.02594i | 0.190937 | + | 0.0994922i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −1.56161 | + | 5.82800i | −0.0512900 | + | 0.191417i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 2.35127 | + | 1.35750i | 0.0771426 | + | 0.0445383i | 0.538075 | − | 0.842897i | \(-0.319152\pi\) |
−0.460933 | + | 0.887435i | \(0.652485\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.0694404 | + | 0.0694404i | −0.00227582 | + | 0.00227582i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −8.17763 | − | 8.17763i | −0.267724 | − | 0.267724i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | − | 29.8329i | − | 0.975641i | ||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −6.76680 | − | 11.7204i | −0.221062 | − | 0.382890i | 0.734069 | − | 0.679075i | \(-0.237619\pi\) |
−0.955131 | + | 0.296185i | \(0.904286\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 19.2160 | + | 19.2160i | 0.627090 | + | 0.627090i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 5.78286 | + | 10.0162i | 0.188516 | + | 0.326519i | 0.944756 | − | 0.327775i | \(-0.106299\pi\) |
−0.756240 | + | 0.654295i | \(0.772966\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −23.9017 | + | 6.40443i | −0.778345 | + | 0.208557i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 13.2517 | + | 3.55079i | 0.431078 | + | 0.115507i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 42.7659 | + | 11.4591i | 1.38970 | + | 0.372370i | 0.874636 | − | 0.484780i | \(-0.161100\pi\) |
0.515067 | + | 0.857150i | \(0.327767\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 10.6373 | + | 39.6990i | 0.345302 | + | 1.28869i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | − | 55.2126i | − | 1.79039i | ||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 4.32610 | − | 2.49767i | 0.140136 | − | 0.0809076i | −0.428293 | − | 0.903640i | \(-0.640885\pi\) |
0.568429 | + | 0.822732i | \(0.307551\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −17.7489 | + | 30.7420i | −0.574340 | + | 0.994787i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 13.5896 | + | 50.7172i | 0.439291 | + | 1.63945i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 8.97921 | + | 5.18415i | 0.289954 | + | 0.167405i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 15.4639i | 0.498834i | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | − | 21.4507i | − | 0.691240i | ||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −27.9005 | − | 16.1084i | −0.898149 | − | 0.518547i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 9.78297 | + | 36.5105i | 0.314599 | + | 1.17410i | 0.924362 | + | 0.381516i | \(0.124598\pi\) |
−0.609763 | + | 0.792584i | \(0.708735\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −0.144244 | + | 0.249837i | −0.00463377 | + | 0.00802593i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −2.23153 | + | 1.28838i | −0.0716133 | + | 0.0413459i | −0.535379 | − | 0.844612i | \(-0.679831\pi\) |
0.463766 | + | 0.885958i | \(0.346498\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 33.3411i | 1.06887i | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 2.31541 | + | 8.64124i | 0.0741526 | + | 0.276741i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −37.0383 | − | 9.92439i | −1.18496 | − | 0.317509i | −0.388068 | − | 0.921631i | \(-0.626858\pi\) |
−0.796892 | + | 0.604121i | \(0.793524\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −42.8329 | − | 11.4770i | −1.36895 | − | 0.366808i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 23.7302 | − | 6.35849i | 0.757647 | − | 0.203011i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 14.9770 | + | 25.9410i | 0.477693 | + | 0.827389i | 0.999673 | − | 0.0255691i | \(-0.00813979\pi\) |
−0.521980 | + | 0.852958i | \(0.674806\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 20.1105 | + | 20.1105i | 0.640772 | + | 0.640772i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −2.37686 | − | 4.11684i | −0.0756562 | − | 0.131040i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 11.5549i | 0.367423i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −3.16899 | − | 3.16899i | −0.100666 | − | 0.100666i | 0.654980 | − | 0.755646i | \(-0.272677\pi\) |
−0.755646 | + | 0.654980i | \(0.772677\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 48.8509 | − | 48.8509i | 1.55024 | − | 1.55024i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 7.90731 | + | 4.56529i | 0.250679 | + | 0.144729i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −1.46739 | + | 5.47638i | −0.0464728 | + | 0.173439i | −0.985262 | − | 0.171055i | \(-0.945283\pi\) |
0.938789 | + | 0.344493i | \(0.111949\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 10.0460 | + | 15.7830i | 0.317843 | + | 0.499352i |
(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 | 592.2.be.f.415.2 | yes | 20 | |
4.3 | odd | 2 | 592.2.be.e.415.4 | ✓ | 20 | ||
37.14 | odd | 12 | 592.2.be.e.495.4 | yes | 20 | ||
148.51 | even | 12 | inner | 592.2.be.f.495.2 | yes | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
592.2.be.e.415.4 | ✓ | 20 | 4.3 | odd | 2 | ||
592.2.be.e.495.4 | yes | 20 | 37.14 | odd | 12 | ||
592.2.be.f.415.2 | yes | 20 | 1.1 | even | 1 | trivial | |
592.2.be.f.495.2 | yes | 20 | 148.51 | even | 12 | inner |