Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(41,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 33, 53]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.ba (of order \(66\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(440\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 41.16 | ||
Character | \(\chi\) | \(=\) | 804.41 |
Dual form | 804.2.ba.b.353.16 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{53}{66}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.995897 | − | 1.41711i | 0.574982 | − | 0.818166i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.152781 | + | 1.06262i | −0.0683259 | + | 0.475217i | 0.926716 | + | 0.375762i | \(0.122619\pi\) |
−0.995042 | + | 0.0994551i | \(0.968290\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.324444 | + | 3.39773i | 0.122628 | + | 1.28422i | 0.822010 | + | 0.569472i | \(0.192852\pi\) |
−0.699382 | + | 0.714748i | \(0.746541\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.01638 | − | 2.82258i | −0.338792 | − | 0.940861i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.16153 | − | 0.465006i | 0.350214 | − | 0.140204i | −0.189884 | − | 0.981806i | \(-0.560811\pi\) |
0.540098 | + | 0.841602i | \(0.318387\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.83241 | − | 1.92178i | −0.508220 | − | 0.533006i | 0.418770 | − | 0.908092i | \(-0.362461\pi\) |
−0.926990 | + | 0.375087i | \(0.877613\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.35369 | + | 1.27477i | 0.349521 | + | 0.329143i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 3.09077 | − | 1.06973i | 0.749623 | − | 0.259447i | 0.0745693 | − | 0.997216i | \(-0.476242\pi\) |
0.675053 | + | 0.737769i | \(0.264121\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 6.96190 | + | 0.664781i | 1.59717 | + | 0.152511i | 0.855336 | − | 0.518074i | \(-0.173351\pi\) |
0.741833 | + | 0.670585i | \(0.233957\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 5.13805 | + | 2.92402i | 1.12121 | + | 0.638073i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 6.97890 | − | 0.332446i | 1.45520 | − | 0.0693197i | 0.695001 | − | 0.719009i | \(-0.255404\pi\) |
0.760200 | + | 0.649689i | \(0.225101\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.69165 | + | 1.08397i | 0.738330 | + | 0.216793i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −5.01211 | − | 1.37069i | −0.964580 | − | 0.263789i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.870238 | − | 0.502432i | 0.161599 | − | 0.0932993i | −0.417019 | − | 0.908898i | \(-0.636925\pi\) |
0.578619 | + | 0.815598i | \(0.303592\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.01310 | + | 4.20882i | −0.720774 | + | 0.755926i | −0.977586 | − | 0.210536i | \(-0.932479\pi\) |
0.256813 | + | 0.966461i | \(0.417328\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.497800 | − | 2.10911i | 0.0866559 | − | 0.367148i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −3.66006 | − | 0.174350i | −0.618662 | − | 0.0294705i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.99087 | + | 6.91239i | −0.656095 | + | 1.13639i | 0.325523 | + | 0.945534i | \(0.394460\pi\) |
−0.981618 | + | 0.190856i | \(0.938874\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −4.54826 | + | 0.682828i | −0.728304 | + | 0.109340i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 3.54601 | + | 0.683437i | 0.553793 | + | 0.106735i | 0.458467 | − | 0.888711i | \(-0.348399\pi\) |
0.0953258 | + | 0.995446i | \(0.469611\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.94811 | + | 1.68805i | 0.297084 | + | 0.257424i | 0.790629 | − | 0.612296i | \(-0.209754\pi\) |
−0.493545 | + | 0.869720i | \(0.664299\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 3.15461 | − | 0.648783i | 0.470262 | − | 0.0967148i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 5.36003 | − | 10.3970i | 0.781841 | − | 1.51656i | −0.0728031 | − | 0.997346i | \(-0.523194\pi\) |
0.854644 | − | 0.519214i | \(-0.173775\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −4.56579 | + | 0.879983i | −0.652255 | + | 0.125712i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 1.56218 | − | 5.44529i | 0.218748 | − | 0.762493i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 4.61898 | + | 5.33059i | 0.634466 | + | 0.732213i | 0.978386 | − | 0.206786i | \(-0.0663004\pi\) |
−0.343920 | + | 0.938999i | \(0.611755\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.316664 | + | 1.30531i | 0.0426989 | + | 0.176007i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 7.87540 | − | 9.20369i | 1.04312 | − | 1.21906i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −3.82125 | − | 13.0140i | −0.497484 | − | 1.69428i | −0.699280 | − | 0.714848i | \(-0.746496\pi\) |
0.201796 | − | 0.979428i | \(-0.435322\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.61460 | + | 9.02884i | −0.462803 | + | 1.15603i | 0.495075 | + | 0.868850i | \(0.335140\pi\) |
−0.957878 | + | 0.287175i | \(0.907284\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 9.26061 | − | 4.36914i | 1.16673 | − | 0.550460i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 2.32208 | − | 1.65354i | 0.288018 | − | 0.205097i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −7.45395 | − | 3.38209i | −0.910646 | − | 0.413188i | ||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 6.47915 | − | 10.2209i | 0.779998 | − | 1.23045i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −10.5155 | − | 3.63946i | −1.24796 | − | 0.431925i | −0.378353 | − | 0.925661i | \(-0.623509\pi\) |
−0.869611 | + | 0.493737i | \(0.835631\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −5.63753 | − | 2.25693i | −0.659823 | − | 0.264153i | 0.0174913 | − | 0.999847i | \(-0.494432\pi\) |
−0.677314 | + | 0.735694i | \(0.736856\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 5.21260 | − | 4.15194i | 0.601899 | − | 0.479425i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 1.95681 | + | 3.79569i | 0.223000 | + | 0.432559i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −9.16491 | + | 2.22338i | −1.03113 | + | 0.250150i | −0.715413 | − | 0.698702i | \(-0.753761\pi\) |
−0.315720 | + | 0.948852i | \(0.602246\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −6.93395 | + | 5.73762i | −0.770439 | + | 0.637513i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −8.90868 | + | 11.3283i | −0.977855 | + | 1.24344i | −0.00794744 | + | 0.999968i | \(0.502530\pi\) |
−0.969907 | + | 0.243475i | \(0.921713\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.664499 | + | 3.44775i | 0.0720750 | + | 0.373961i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0.154668 | − | 1.73359i | 0.0165822 | − | 0.185860i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 7.82886 | − | 12.1820i | 0.829858 | − | 1.29128i | −0.124380 | − | 0.992235i | \(-0.539694\pi\) |
0.954238 | − | 0.299050i | \(-0.0966696\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 5.93517 | − | 6.84955i | 0.622174 | − | 0.718028i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 1.96770 | + | 9.87853i | 0.204041 | + | 1.02436i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −1.77006 | + | 7.29627i | −0.181604 | + | 0.748582i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 4.98536 | + | 2.87830i | 0.506186 | + | 0.292247i | 0.731265 | − | 0.682094i | \(-0.238930\pi\) |
−0.225078 | + | 0.974341i | \(0.572264\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −2.49307 | − | 2.80589i | −0.250563 | − | 0.282002i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −6.06907 | + | 8.52281i | −0.603895 | + | 0.848052i | −0.997459 | − | 0.0712456i | \(-0.977303\pi\) |
0.393564 | + | 0.919297i | \(0.371242\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −9.39509 | − | 8.95820i | −0.925726 | − | 0.882678i | 0.0676357 | − | 0.997710i | \(-0.478454\pi\) |
−0.993362 | + | 0.115032i | \(0.963303\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −3.89211 | + | 5.01305i | −0.379831 | + | 0.489224i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −0.0851448 | + | 0.0122420i | −0.00823125 | + | 0.00118348i | −0.146429 | − | 0.989221i | \(-0.546778\pi\) |
0.138198 | + | 0.990405i | \(0.455869\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 3.46042 | − | 11.7851i | 0.331448 | − | 1.12881i | −0.610211 | − | 0.792239i | \(-0.708915\pi\) |
0.941659 | − | 0.336569i | \(-0.109267\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 5.82109 | + | 12.5395i | 0.552514 | + | 1.19020i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 9.11844 | − | 7.17082i | 0.857790 | − | 0.674574i | −0.0891377 | − | 0.996019i | \(-0.528411\pi\) |
0.946928 | + | 0.321446i | \(0.104169\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.712983 | + | 7.46669i | −0.0664860 | + | 0.696273i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −3.56196 | + | 7.12539i | −0.329303 | + | 0.658742i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 4.63742 | + | 10.1545i | 0.425112 | + | 0.930865i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −6.82816 | + | 6.51064i | −0.620742 | + | 0.591876i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 4.49996 | − | 4.34443i | 0.405748 | − | 0.391724i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −3.94569 | + | 8.63986i | −0.352913 | + | 0.772773i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 9.48549 | − | 0.905754i | 0.841701 | − | 0.0803727i | 0.334707 | − | 0.942322i | \(-0.391363\pi\) |
0.506994 | + | 0.861950i | \(0.330757\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 4.33225 | − | 1.07956i | 0.381434 | − | 0.0950496i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −2.19930 | − | 3.42218i | −0.192154 | − | 0.298997i | 0.731786 | − | 0.681534i | \(-0.238687\pi\) |
−0.923940 | + | 0.382537i | \(0.875051\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 23.8703i | 2.06982i | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 2.22228 | − | 5.11654i | 0.191263 | − | 0.440362i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −13.1710 | + | 8.46452i | −1.12528 | + | 0.723173i | −0.964569 | − | 0.263829i | \(-0.915014\pi\) |
−0.160709 | + | 0.987002i | \(0.551378\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 9.29511 | + | 1.33643i | 0.788401 | + | 0.113355i | 0.524742 | − | 0.851261i | \(-0.324162\pi\) |
0.263658 | + | 0.964616i | \(0.415071\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −9.39563 | − | 17.9501i | −0.791254 | − | 1.51167i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −3.02204 | − | 1.38012i | −0.252715 | − | 0.115411i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.400937 | + | 1.00149i | 0.0332960 | + | 0.0831695i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −3.30003 | + | 7.34658i | −0.272182 | + | 0.605935i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −13.8950 | + | 6.34561i | −1.13832 | + | 0.519853i | −0.893209 | − | 0.449642i | \(-0.851552\pi\) |
−0.245111 | + | 0.969495i | \(0.578824\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.869270 | − | 2.51159i | −0.0707402 | − | 0.204390i | 0.904089 | − | 0.427345i | \(-0.140551\pi\) |
−0.974829 | + | 0.222955i | \(0.928430\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −6.16079 | − | 7.63672i | −0.498070 | − | 0.617392i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −3.85924 | − | 4.90742i | −0.309981 | − | 0.394173i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.361765 | + | 7.59438i | 0.0288720 | + | 0.606098i | 0.966222 | + | 0.257710i | \(0.0829678\pi\) |
−0.937350 | + | 0.348388i | \(0.886729\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 12.1540 | − | 1.23687i | 0.963878 | − | 0.0980899i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 3.39382 | + | 23.6045i | 0.267470 | + | 1.86030i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.22544 | − | 5.58663i | −0.252636 | − | 0.437579i | 0.711615 | − | 0.702570i | \(-0.247964\pi\) |
−0.964251 | + | 0.264991i | \(0.914631\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 2.16512 | + | 0.851204i | 0.168554 | + | 0.0662661i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −9.05990 | − | 6.45152i | −0.701076 | − | 0.499234i | 0.173062 | − | 0.984911i | \(-0.444634\pi\) |
−0.874138 | + | 0.485677i | \(0.838573\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.283066 | − | 5.94229i | 0.0217743 | − | 0.457099i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −5.19952 | − | 20.3262i | −0.397617 | − | 1.55438i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −6.05483 | − | 1.46889i | −0.460341 | − | 0.111677i | −0.00111938 | − | 0.999999i | \(-0.500356\pi\) |
−0.459221 | + | 0.888322i | \(0.651871\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.48529 | + | 12.8949i | −0.187870 | + | 0.974763i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −22.2477 | − | 7.54547i | −1.67224 | − | 0.567152i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −6.62139 | − | 4.25531i | −0.494906 | − | 0.318057i | 0.269270 | − | 0.963065i | \(-0.413218\pi\) |
−0.764176 | + | 0.645008i | \(0.776854\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 5.80714 | + | 2.99379i | 0.431641 | + | 0.222526i | 0.660334 | − | 0.750972i | \(-0.270415\pi\) |
−0.228693 | + | 0.973499i | \(0.573445\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 9.19505 | + | 14.1141i | 0.679718 | + | 1.04334i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −6.73550 | − | 5.29686i | −0.495204 | − | 0.389433i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 3.09259 | − | 2.67974i | 0.226153 | − | 0.195962i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 3.03108 | − | 17.4745i | 0.220479 | − | 1.27108i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 13.6843 | − | 7.05474i | 0.990160 | − | 0.510463i | 0.114517 | − | 0.993421i | \(-0.463468\pi\) |
0.875643 | + | 0.482958i | \(0.160438\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 10.8125 | − | 3.17484i | 0.778301 | − | 0.228530i | 0.131630 | − | 0.991299i | \(-0.457979\pi\) |
0.646671 | + | 0.762769i | \(0.276161\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.0306960 | − | 4.93739i | −0.00219819 | − | 0.353574i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −4.30693 | + | 12.4440i | −0.306856 | + | 0.886602i | 0.681144 | + | 0.732149i | \(0.261483\pi\) |
−0.988000 | + | 0.154453i | \(0.950639\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0.573623 | + | 0.805541i | 0.0406631 | + | 0.0571033i | 0.834407 | − | 0.551149i | \(-0.185810\pi\) |
−0.793744 | + | 0.608252i | \(0.791871\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −12.2162 | + | 7.19483i | −0.861661 | + | 0.507484i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 1.98947 | + | 2.79382i | 0.139633 | + | 0.196088i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.26800 | + | 3.66364i | −0.0885607 | + | 0.255879i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −8.03155 | − | 19.3606i | −0.558231 | − | 1.34566i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 8.39556 | − | 2.46516i | 0.580733 | − | 0.170519i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.01206 | + | 3.09943i | −0.413888 | + | 0.213374i | −0.652578 | − | 0.757722i | \(-0.726312\pi\) |
0.238690 | + | 0.971096i | \(0.423282\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −15.6299 | + | 11.2771i | −1.07094 | + | 0.772694i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −2.09138 | + | 1.81219i | −0.142631 | + | 0.123591i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −15.6024 | − | 12.2699i | −1.05916 | − | 0.832934i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −8.81271 | + | 5.74131i | −0.595507 | + | 0.387962i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −7.71935 | − | 3.97960i | −0.519260 | − | 0.267697i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −3.72053 | − | 2.39104i | −0.249145 | − | 0.160116i | 0.410108 | − | 0.912037i | \(-0.365491\pi\) |
−0.659253 | + | 0.751921i | \(0.729127\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −0.692524 | − | 11.5217i | −0.0461683 | − | 0.768114i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 2.92214 | − | 15.1615i | 0.193949 | − | 1.00630i | −0.746247 | − | 0.665669i | \(-0.768146\pi\) |
0.940196 | − | 0.340634i | \(-0.110642\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −1.16775 | − | 0.283294i | −0.0771672 | − | 0.0187206i | 0.196989 | − | 0.980406i | \(-0.436884\pi\) |
−0.274157 | + | 0.961685i | \(0.588399\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 7.32767 | + | 1.00710i | 0.482126 | + | 0.0662626i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 0.0185739 | − | 0.389913i | 0.00121681 | − | 0.0255441i | −0.998177 | − | 0.0603501i | \(-0.980778\pi\) |
0.999394 | + | 0.0348060i | \(0.0110813\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 10.2291 | + | 7.28414i | 0.667276 | + | 0.475165i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −5.97654 | + | 15.2019i | −0.388218 | + | 0.987470i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 2.07881 | + | 3.60060i | 0.134467 | + | 0.232903i | 0.925394 | − | 0.379007i | \(-0.123734\pi\) |
−0.790927 | + | 0.611911i | \(0.790401\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1.04541 | + | 7.27101i | 0.0673410 | + | 0.468367i | 0.995390 | + | 0.0959090i | \(0.0305758\pi\) |
−0.928049 | + | 0.372458i | \(0.878515\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 1.22531 | + | 15.5402i | 0.0786036 | + | 0.996906i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −0.237519 | − | 4.98613i | −0.0151745 | − | 0.318552i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −11.4795 | − | 14.5974i | −0.730423 | − | 0.928809i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 7.18128 | + | 23.9064i | 0.455095 | + | 1.51500i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 7.51263 | + | 21.7063i | 0.474193 | + | 1.37009i | 0.888049 | + | 0.459749i | \(0.152061\pi\) |
−0.413856 | + | 0.910343i | \(0.635818\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 7.95159 | − | 3.63137i | 0.499912 | − | 0.228302i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 5.54759 | + | 2.49194i | 0.347404 | + | 0.156051i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 0.867445 | + | 2.16677i | 0.0541098 | + | 0.135160i | 0.952960 | − | 0.303097i | \(-0.0980205\pi\) |
−0.898850 | + | 0.438256i | \(0.855596\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −24.7812 | − | 11.3172i | −1.53983 | − | 0.703218i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −2.30265 | − | 1.94566i | −0.142530 | − | 0.120433i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 15.9922 | + | 2.29933i | 0.986119 | + | 0.141783i | 0.616461 | − | 0.787385i | \(-0.288566\pi\) |
0.369658 | + | 0.929168i | \(0.379475\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −6.37008 | + | 4.09380i | −0.391311 | + | 0.251480i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −9.46637 | − | 23.2263i | −0.579332 | − | 1.42143i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | − | 22.0639i | − | 1.34526i | −0.739978 | − | 0.672631i | \(-0.765164\pi\) | ||
0.739978 | − | 0.672631i | \(-0.234836\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −10.4091 | − | 16.1968i | −0.632305 | − | 0.983886i | −0.998574 | − | 0.0533769i | \(-0.983002\pi\) |
0.366269 | − | 0.930509i | \(-0.380635\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −3.79572 | − | 15.2322i | −0.229727 | − | 0.921895i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 4.79200 | − | 0.457581i | 0.288969 | − | 0.0275932i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −2.65963 | + | 5.82378i | −0.159802 | + | 0.349917i | −0.972549 | − | 0.232700i | \(-0.925244\pi\) |
0.812747 | + | 0.582617i | \(0.197971\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 15.9586 | + | 7.04956i | 0.955414 | + | 0.422046i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −12.9657 | + | 12.3628i | −0.773468 | + | 0.737501i | −0.970028 | − | 0.242991i | \(-0.921871\pi\) |
0.196560 | + | 0.980492i | \(0.437023\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −5.54205 | − | 12.1354i | −0.329441 | − | 0.721375i | 0.670345 | − | 0.742049i | \(-0.266146\pi\) |
−0.999786 | + | 0.0206743i | \(0.993419\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 8.57679 | + | 9.77469i | 0.508045 | + | 0.579003i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −1.17165 | + | 12.2701i | −0.0691605 | + | 0.724281i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −4.95434 | + | 3.89614i | −0.291432 | + | 0.229184i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 9.04375 | − | 4.19829i | 0.530154 | − | 0.246108i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 0.725462 | − | 2.47070i | 0.0423819 | − | 0.144340i | −0.935584 | − | 0.353104i | \(-0.885126\pi\) |
0.977966 | + | 0.208765i | \(0.0669443\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 14.4127 | − | 2.07223i | 0.839140 | − | 0.120650i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −6.45908 | + | 0.738565i | −0.374794 | + | 0.0428559i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −13.4271 | − | 12.8027i | −0.776509 | − | 0.740400i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −5.10347 | + | 7.16682i | −0.294159 | + | 0.413088i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 6.03356 | + | 17.0884i | 0.346619 | + | 0.981700i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −9.04197 | − | 5.22038i | −0.517742 | − | 0.298918i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −5.08377 | + | 20.9556i | −0.290146 | + | 1.19600i | 0.620966 | + | 0.783838i | \(0.286741\pi\) |
−0.911111 | + | 0.412160i | \(0.864774\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −22.0513 | + | 4.39239i | −1.25445 | + | 0.249874i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 7.70833 | − | 8.89589i | 0.437099 | − | 0.504440i | −0.493871 | − | 0.869535i | \(-0.664418\pi\) |
0.930970 | + | 0.365096i | \(0.118964\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 4.49750 | − | 6.99824i | 0.254214 | − | 0.395564i | −0.690567 | − | 0.723269i | \(-0.742639\pi\) |
0.944780 | + | 0.327705i | \(0.106275\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 3.22788 | + | 10.5080i | 0.181870 | + | 0.592060i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −1.16133 | − | 6.02556i | −0.0652268 | − | 0.338429i | 0.934625 | − | 0.355634i | \(-0.115735\pi\) |
−0.999852 | + | 0.0172055i | \(0.994523\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.777172 | − | 0.988255i | 0.0435133 | − | 0.0553316i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −0.0674473 | + | 0.132851i | −0.00376454 | + | 0.00741501i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 22.2288 | − | 5.39264i | 1.23684 | − | 0.300055i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −4.68148 | − | 9.08081i | −0.259682 | − | 0.503713i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −13.2545 | − | 16.6405i | −0.732976 | − | 0.920223i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 37.0652 | + | 14.8387i | 2.04347 | + | 0.818083i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.35721 | + | 1.50804i | 0.239494 | + | 0.0828896i | 0.444178 | − | 0.895938i | \(-0.353496\pi\) |
−0.204685 | + | 0.978828i | \(0.565617\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 23.5670 | + | 4.23897i | 1.29147 | + | 0.232294i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 4.73270 | − | 7.40399i | 0.258575 | − | 0.404523i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 26.3193 | − | 18.7419i | 1.43370 | − | 1.02094i | 0.441374 | − | 0.897323i | \(-0.354491\pi\) |
0.992330 | − | 0.123613i | \(-0.0394482\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −1.08078 | − | 20.0632i | −0.0587000 | − | 1.08968i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −2.70420 | + | 6.75477i | −0.146441 | + | 0.365791i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 2.25995 | + | 7.69668i | 0.122026 | + | 0.415581i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 9.87104 | + | 8.44643i | 0.531439 | + | 0.454741i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −1.90552 | − | 7.85464i | −0.102293 | − | 0.421659i | 0.897520 | − | 0.440974i | \(-0.145367\pi\) |
−0.999813 | + | 0.0193145i | \(0.993852\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −4.97083 | − | 5.73664i | −0.266082 | − | 0.307075i | 0.606948 | − | 0.794742i | \(-0.292394\pi\) |
−0.873030 | + | 0.487666i | \(0.837848\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 6.55009 | + | 12.1438i | 0.349618 | + | 0.648190i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −6.62243 | + | 1.27637i | −0.352476 | + | 0.0679343i | −0.362416 | − | 0.932016i | \(-0.618048\pi\) |
0.00993986 | + | 0.999951i | \(0.496836\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 5.47394 | − | 10.6180i | 0.290526 | − | 0.563543i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 19.0085 | + | 3.54116i | 1.00603 | + | 0.187418i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −28.2755 | − | 24.5009i | −1.49232 | − | 1.29311i | −0.850141 | − | 0.526555i | \(-0.823483\pi\) |
−0.642183 | − | 0.766551i | \(-0.721971\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 29.3694 | + | 5.66049i | 1.54576 | + | 0.297921i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 2.42612 | + | 16.1601i | 0.127338 | + | 0.848188i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 3.25956 | − | 5.64573i | 0.170613 | − | 0.295511i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 26.1307 | + | 1.24476i | 1.36401 | + | 0.0649760i | 0.716771 | − | 0.697308i | \(-0.245619\pi\) |
0.647242 | + | 0.762284i | \(0.275922\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −1.67502 | − | 10.7035i | −0.0871983 | − | 0.557204i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −16.6133 | + | 17.4235i | −0.862519 | + | 0.904584i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 10.3411 | − | 5.97047i | 0.535444 | − | 0.309139i | −0.207786 | − | 0.978174i | \(-0.566626\pi\) |
0.743231 | + | 0.669035i | \(0.233293\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 8.31409 | + | 14.1959i | 0.429338 | + | 0.733072i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −2.56020 | − | 0.751742i | −0.131857 | − | 0.0387167i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −33.2501 | + | 1.58390i | −1.70794 | + | 0.0813592i | −0.878653 | − | 0.477462i | \(-0.841557\pi\) |
−0.829288 | + | 0.558821i | \(0.811254\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 8.16302 | − | 14.3440i | 0.418204 | − | 0.734864i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 18.4651 | + | 1.76320i | 0.943522 | + | 0.0900955i | 0.555465 | − | 0.831540i | \(-0.312540\pi\) |
0.388057 | + | 0.921635i | \(0.373146\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −4.33233 | + | 1.49943i | −0.220796 | + | 0.0764183i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 2.78464 | − | 7.21439i | 0.141551 | − | 0.366728i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 12.6712 | + | 13.2892i | 0.642455 | + | 0.673787i | 0.961769 | − | 0.273862i | \(-0.0883011\pi\) |
−0.319314 | + | 0.947649i | \(0.603453\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 21.2146 | − | 8.49303i | 1.07287 | − | 0.429511i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −7.03987 | − | 0.291497i | −0.355115 | − | 0.0147041i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −0.962379 | − | 10.0785i | −0.0484226 | − | 0.507104i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −1.34766 | + | 9.37317i | −0.0676370 | + | 0.470426i | 0.927650 | + | 0.373451i | \(0.121826\pi\) |
−0.995287 | + | 0.0969747i | \(0.969083\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 33.8268 | + | 23.7724i | 1.69346 | + | 1.19011i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −28.6827 | −1.43235 | −0.716174 | − | 0.697922i | \(-0.754108\pi\) | ||||
−0.716174 | + | 0.697922i | \(0.754108\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 15.4421 | 0.769224 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −5.03752 | − | 8.24475i | −0.250316 | − | 0.409685i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −1.42121 | + | 9.88472i | −0.0704467 | + | 0.489967i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 1.22216 | + | 12.7991i | 0.0604320 | + | 0.632872i | 0.974055 | + | 0.226310i | \(0.0726664\pi\) |
−0.913623 | + | 0.406562i | \(0.866728\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −1.12189 | + | 27.0946i | −0.0553389 | + | 1.33648i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 42.9782 | − | 17.2059i | 2.11482 | − | 0.846645i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −10.6766 | − | 11.1973i | −0.524093 | − | 0.549653i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 11.1508 | − | 11.8412i | 0.546059 | − | 0.579866i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 1.30845 | − | 0.452859i | 0.0639220 | − | 0.0221236i | −0.294920 | − | 0.955522i | \(-0.595293\pi\) |
0.358842 | + | 0.933398i | \(0.383172\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 32.1300 | + | 3.06804i | 1.56592 | + | 0.149527i | 0.841663 | − | 0.540003i | \(-0.181577\pi\) |
0.724257 | + | 0.689530i | \(0.242183\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −34.7943 | − | 4.56185i | −1.69175 | − | 0.221805i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 12.5696 | − | 0.598764i | 0.609715 | − | 0.0290443i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −31.8503 | − | 9.35209i | −1.54134 | − | 0.452579i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −4.96541 | + | 2.90809i | −0.239732 | + | 0.140404i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 11.4511 | − | 6.61130i | 0.551580 | − | 0.318455i | −0.198179 | − | 0.980166i | \(-0.563503\pi\) |
0.749759 | + | 0.661711i | \(0.230169\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −11.3091 | + | 11.8607i | −0.543482 | + | 0.569988i | −0.937000 | − | 0.349329i | \(-0.886409\pi\) |
0.393518 | + | 0.919317i | \(0.371258\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 1.81851 | + | 0.429214i | 0.0871911 | + | 0.0205792i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 48.8074 | + | 2.32498i | 2.33477 | + | 0.111219i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −20.0048 | + | 34.6493i | −0.954777 | + | 1.65372i | −0.219899 | + | 0.975523i | \(0.570573\pi\) |
−0.734878 | + | 0.678200i | \(0.762760\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 7.12439 | + | 11.9929i | 0.339257 | + | 0.571091i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −13.9459 | − | 2.68786i | −0.662591 | − | 0.127704i | −0.153141 | − | 0.988204i | \(-0.548939\pi\) |
−0.509450 | + | 0.860500i | \(0.670151\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 11.7487 | + | 10.1803i | 0.556940 | + | 0.482591i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −4.84554 | + | 26.0102i | −0.229186 | + | 1.23024i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −9.31873 | + | 18.0758i | −0.439778 | + | 0.853051i | 0.559921 | + | 0.828546i | \(0.310831\pi\) |
−0.999700 | + | 0.0245051i | \(0.992199\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 4.43659 | − | 0.855082i | 0.208911 | − | 0.0402643i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −4.42489 | − | 1.26944i | −0.207900 | − | 0.0596434i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 6.37167 | + | 7.35330i | 0.298709 | + | 0.344728i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 2.03728 | + | 8.39776i | 0.0952997 | + | 0.392831i | 0.999405 | − | 0.0344780i | \(-0.0109769\pi\) |
−0.904106 | + | 0.427309i | \(0.859462\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −16.9575 | + | 1.12510i | −0.791511 | + | 0.0525151i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −5.51343 | − | 18.7770i | −0.256786 | − | 0.874533i | −0.982457 | − | 0.186491i | \(-0.940289\pi\) |
0.725671 | − | 0.688042i | \(-0.241530\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 4.70448 | − | 11.7512i | 0.218636 | − | 0.546125i | −0.777984 | − | 0.628284i | \(-0.783757\pi\) |
0.996619 | + | 0.0821593i | \(0.0261816\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −10.7977 | + | 0.581662i | −0.500733 | + | 0.0269739i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −14.8938 | + | 10.6058i | −0.689203 | + | 0.490779i | −0.870196 | − | 0.492705i | \(-0.836008\pi\) |
0.180993 | + | 0.983484i | \(0.442069\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 9.07304 | − | 26.4238i | 0.418954 | − | 1.22014i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 11.1223 | + | 7.05057i | 0.512490 | + | 0.324873i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 3.04773 | + | 1.05483i | 0.140135 | + | 0.0485012i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 24.9803 | + | 10.0006i | 1.14617 | + | 0.458859i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 10.3514 | − | 18.4554i | 0.473958 | − | 0.845012i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 15.6875 | + | 30.4295i | 0.716780 | + | 1.39036i | 0.912243 | + | 0.409648i | \(0.134349\pi\) |
−0.195463 | + | 0.980711i | \(0.562621\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 20.5970 | − | 4.99678i | 0.939143 | − | 0.227834i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 36.8300 | + | 18.6983i | 1.67582 | + | 0.850801i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −3.82020 | + | 4.85778i | −0.173466 | + | 0.220580i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −3.77448 | − | 19.5839i | −0.171038 | − | 0.887430i | −0.961476 | − | 0.274888i | \(-0.911359\pi\) |
0.790438 | − | 0.612542i | \(-0.209853\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −11.1291 | − | 0.992917i | −0.503273 | − | 0.0449012i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −15.4080 | + | 23.9753i | −0.695352 | + | 1.08199i | 0.296554 | + | 0.955016i | \(0.404162\pi\) |
−0.991906 | + | 0.126973i | \(0.959474\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.15224 | − | 2.48382i | 0.0969321 | − | 0.111866i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 3.36248 | − | 2.22049i | 0.151132 | − | 0.0998037i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 8.95420 | − | 36.9097i | 0.401651 | − | 1.65563i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −29.8604 | − | 17.2399i | −1.33674 | − | 0.771765i | −0.350414 | − | 0.936595i | \(-0.613959\pi\) |
−0.986322 | + | 0.164830i | \(0.947292\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −18.1652 | + | 6.41378i | −0.811562 | + | 0.286546i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 24.5267 | − | 34.4430i | 1.09359 | − | 1.53574i | 0.274929 | − | 0.961464i | \(-0.411346\pi\) |
0.818664 | − | 0.574272i | \(-0.194715\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −8.12926 | − | 7.75123i | −0.361747 | − | 0.344925i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −8.13895 | − | 6.31905i | −0.361464 | − | 0.280639i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −25.5162 | + | 3.66868i | −1.13099 | + | 0.162611i | −0.682296 | − | 0.731076i | \(-0.739018\pi\) |
−0.448690 | + | 0.893687i | \(0.648109\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5.83936 | − | 19.8870i | 0.258318 | − | 0.879751i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −33.9826 | − | 12.8745i | −1.50037 | − | 0.568425i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 10.9545 | − | 8.61475i | 0.482715 | − | 0.379611i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 1.39116 | − | 14.5689i | 0.0611831 | − | 0.640738i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −8.11156 | + | 7.11748i | −0.356058 | + | 0.312423i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −5.35842 | − | 11.7333i | −0.234756 | − | 0.514045i | 0.755187 | − | 0.655510i | \(-0.227546\pi\) |
−0.989943 | + | 0.141465i | \(0.954819\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 8.37239 | − | 7.98306i | 0.366099 | − | 0.349075i | −0.484592 | − | 0.874740i | \(-0.661032\pi\) |
0.850691 | + | 0.525665i | \(0.176184\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 15.7984 | + | 16.3639i | 0.689497 | + | 0.714180i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −7.90129 | + | 17.3014i | −0.344186 | + | 0.753661i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 25.6986 | − | 2.45392i | 1.11733 | − | 0.106692i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −32.8492 | + | 24.0129i | −1.42553 | + | 1.04207i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −5.18433 | − | 8.06698i | −0.224558 | − | 0.349420i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | − | 0.0923467i | − | 0.00399250i | ||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −12.6245 | + | 5.14536i | −0.544785 | + | 0.222039i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −4.89409 | + | 3.14524i | −0.210803 | + | 0.135475i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 18.6189 | + | 2.67700i | 0.800490 | + | 0.115093i | 0.530406 | − | 0.847744i | \(-0.322039\pi\) |
0.270084 | + | 0.962837i | \(0.412949\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 10.0258 | − | 5.24782i | 0.430249 | − | 0.225206i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 11.9944 | + | 5.47765i | 0.513783 | + | 0.234637i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 11.5509 | + | 28.8527i | 0.493879 | + | 1.23365i | 0.940765 | + | 0.339059i | \(0.110109\pi\) |
−0.446886 | + | 0.894591i | \(0.647467\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 29.1585 | + | 1.02581i | 1.24445 | + | 0.0437804i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 6.39251 | − | 2.91936i | 0.272330 | − | 0.124369i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −10.5279 | − | 30.4185i | −0.447694 | − | 1.29353i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −14.2141 | + | 4.26979i | −0.603354 | + | 0.181243i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −21.7296 | − | 27.6314i | −0.920712 | − | 1.17078i | −0.984949 | − | 0.172846i | \(-0.944704\pi\) |
0.0642371 | − | 0.997935i | \(-0.479539\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.325688 | − | 6.83703i | −0.0137751 | − | 0.289175i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −0.717580 | − | 7.05128i | −0.0302962 | − | 0.297705i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −5.63565 | − | 39.1968i | −0.237515 | − | 1.65195i | −0.664204 | − | 0.747552i | \(-0.731229\pi\) |
0.426689 | − | 0.904398i | \(-0.359680\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 6.22671 | + | 10.7850i | 0.261960 | + | 0.453728i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −21.7445 | − | 21.6982i | −0.913185 | − | 0.911237i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 1.61100 | + | 1.14719i | 0.0675368 | + | 0.0480927i | 0.613327 | − | 0.789829i | \(-0.289831\pi\) |
−0.545790 | + | 0.837922i | \(0.683770\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 2.04251 | − | 42.8776i | 0.0854765 | − | 1.79437i | −0.396344 | − | 0.918102i | \(-0.629721\pi\) |
0.481821 | − | 0.876270i | \(-0.339976\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 3.63083 | − | 26.4179i | 0.151680 | − | 1.10362i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 26.1240 | + | 6.33761i | 1.08945 | + | 0.264297i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −1.44529 | + | 7.49887i | −0.0601682 | + | 0.312182i | −0.999527 | − | 0.0307538i | \(-0.990209\pi\) |
0.939359 | + | 0.342936i | \(0.111421\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 6.26906 | − | 18.4843i | 0.260533 | − | 0.768180i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −41.3809 | − | 26.5939i | −1.71677 | − | 1.10330i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 7.84383 | + | 4.04378i | 0.324858 | + | 0.167476i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −7.02737 | − | 4.87363i | −0.290546 | − | 0.201500i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −26.2994 | − | 20.6821i | −1.08549 | − | 0.853641i | −0.0955945 | − | 0.995420i | \(-0.530475\pi\) |
−0.989898 | + | 0.141779i | \(0.954718\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −30.7367 | + | 26.6335i | −1.26648 | + | 1.09741i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 13.3453 | + | 18.4964i | 0.548951 | + | 0.760839i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 32.6745 | − | 16.8449i | 1.34178 | − | 0.691736i | 0.370312 | − | 0.928907i | \(-0.379251\pi\) |
0.971468 | + | 0.237172i | \(0.0762204\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −11.4989 | + | 3.37638i | −0.471409 | + | 0.138418i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 1.71281 | − | 0.0106486i | 0.0701005 | − | 0.000435819i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −3.14596 | + | 9.08965i | −0.128540 | + | 0.371393i | −0.990846 | − | 0.134995i | \(-0.956898\pi\) |
0.862306 | + | 0.506388i | \(0.169019\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −4.55869 | − | 6.40178i | −0.185953 | − | 0.261134i | 0.711067 | − | 0.703124i | \(-0.248212\pi\) |
−0.897020 | + | 0.441990i | \(0.854273\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −1.97021 | + | 24.4769i | −0.0802331 | + | 0.996776i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −5.87510 | − | 8.25043i | −0.238857 | − | 0.335428i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 2.62671 | − | 7.58939i | 0.106615 | − | 0.308044i | −0.879057 | − | 0.476716i | \(-0.841827\pi\) |
0.985672 | + | 0.168673i | \(0.0539481\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 5.94045 | − | 0.0369321i | 0.240719 | − | 0.00149656i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −29.8026 | + | 8.75082i | −1.20568 | + | 0.354020i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −15.3235 | + | 7.89982i | −0.618911 | + | 0.319071i | −0.739013 | − | 0.673691i | \(-0.764708\pi\) |
0.120102 | + | 0.992762i | \(0.461678\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 3.92896 | + | 5.44549i | 0.158431 | + | 0.219583i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −7.70303 | + | 6.67472i | −0.310112 | + | 0.268714i | −0.795986 | − | 0.605315i | \(-0.793047\pi\) |
0.485873 | + | 0.874029i | \(0.338502\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 29.4092 | + | 23.1276i | 1.18205 | + | 0.929578i | 0.998571 | − | 0.0534445i | \(-0.0170200\pi\) |
0.183484 | + | 0.983023i | \(0.441262\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −35.4347 | − | 7.89964i | −1.42194 | − | 0.317002i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 43.9310 | + | 22.6480i | 1.76006 | + | 0.907373i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 7.60557 | + | 4.88780i | 0.304223 | + | 0.195512i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 4.86773 | − | 14.3524i | 0.194398 | − | 0.573182i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −4.94051 | + | 25.6338i | −0.196991 | + | 1.02209i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −36.1058 | − | 8.75918i | −1.43735 | − | 0.348698i | −0.559978 | − | 0.828507i | \(-0.689190\pi\) |
−0.877373 | + | 0.479810i | \(0.840706\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −1.59517 | + | 11.6064i | −0.0634024 | + | 0.461315i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −0.486735 | + | 10.2178i | −0.0193155 | + | 0.405482i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 10.0575 | + | 7.16194i | 0.398494 | + | 0.283766i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0.415067 | + | 33.3800i | 0.0164198 | + | 1.32049i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 4.70490 | + | 8.14913i | 0.185833 | + | 0.321871i | 0.943857 | − | 0.330355i | \(-0.107168\pi\) |
−0.758024 | + | 0.652226i | \(0.773835\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −4.78557 | − | 33.2844i | −0.188724 | − | 1.31261i | −0.835316 | − | 0.549771i | \(-0.814715\pi\) |
0.646591 | − | 0.762837i | \(-0.276194\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0.485267 | + | 4.76847i | 0.0191074 | + | 0.187758i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 0.466056 | + | 9.78372i | 0.0183226 | + | 0.384638i | 0.989340 | + | 0.145627i | \(0.0465200\pi\) |
−0.971017 | + | 0.239011i | \(0.923177\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −10.4901 | − | 13.3392i | −0.411771 | − | 0.523609i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −32.9261 | + | 9.89075i | −1.29048 | + | 0.387649i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 7.31137 | + | 21.1248i | 0.286116 | + | 0.826678i | 0.992868 | + | 0.119217i | \(0.0380383\pi\) |
−0.706752 | + | 0.707461i | \(0.749841\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 3.97248 | − | 1.81417i | 0.155218 | − | 0.0708856i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −0.640505 | + | 18.2063i | −0.0249885 | + | 0.710295i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 16.3965 | + | 40.9565i | 0.638718 | + | 1.59544i | 0.794238 | + | 0.607607i | \(0.207870\pi\) |
−0.155520 | + | 0.987833i | \(0.549705\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −43.2103 | − | 19.7335i | −1.68069 | − | 0.767544i | −0.999368 | − | 0.0355573i | \(-0.988679\pi\) |
−0.681319 | − | 0.731987i | \(-0.738593\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −13.3272 | + | 6.97586i | −0.517585 | + | 0.270920i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −25.3650 | − | 3.64694i | −0.983614 | − | 0.141422i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 5.90627 | − | 3.79573i | 0.228692 | − | 0.146971i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −7.09363 | + | 2.89116i | −0.274255 | + | 0.111779i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 12.1681i | 0.469743i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 23.9329 | + | 37.2404i | 0.922547 | + | 1.43551i | 0.900061 | + | 0.435763i | \(0.143522\pi\) |
0.0224854 | + | 0.999747i | \(0.492842\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −17.0172 | − | 10.4931i | −0.654991 | − | 0.403878i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 19.4425 | − | 1.85653i | 0.747236 | − | 0.0713524i | 0.285511 | − | 0.958375i | \(-0.407837\pi\) |
0.461725 | + | 0.887023i | \(0.347231\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −8.16220 | + | 17.8727i | −0.313237 | + | 0.685892i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −18.5753 | − | 19.2403i | −0.711806 | − | 0.737288i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −26.8772 | + | 25.6273i | −1.02843 | + | 0.980603i | −0.999820 | − | 0.0189880i | \(-0.993956\pi\) |
−0.0286069 | + | 0.999591i | \(0.509107\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −6.98226 | − | 15.2890i | −0.266778 | − | 0.584163i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −1.56442 | + | 1.37270i | −0.0596863 | + | 0.0523717i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 1.78033 | − | 18.6445i | 0.0678253 | − | 0.710299i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 8.55640 | − | 6.72883i | 0.325501 | − | 0.255977i | −0.442014 | − | 0.897008i | \(-0.645736\pi\) |
0.767514 | + | 0.641032i | \(0.221493\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 8.72478 | − | 9.38112i | 0.331427 | − | 0.356359i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −2.84024 | + | 9.67297i | −0.107736 | + | 0.366917i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 11.6910 | − | 1.68091i | 0.442828 | − | 0.0636690i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −0.534051 | − | 0.414635i | −0.0201997 | − | 0.0156829i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −16.5837 | − | 15.8125i | −0.626358 | − | 0.597231i | 0.308945 | − | 0.951080i | \(-0.400024\pi\) |
−0.935303 | + | 0.353849i | \(0.884873\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −32.3793 | + | 45.4703i | −1.22121 | + | 1.71495i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 20.5096 | − | 7.24152i | 0.772435 | − | 0.272732i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −30.9273 | − | 17.8559i | −1.16314 | − | 0.671539i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 5.35357 | − | 22.0677i | 0.201058 | − | 0.828771i | −0.778506 | − | 0.627637i | \(-0.784022\pi\) |
0.979564 | − | 0.201134i | \(-0.0644626\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 15.5907 | + | 23.6089i | 0.584697 | + | 0.885404i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −26.6078 | + | 30.7070i | −0.996470 | + | 1.14999i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.92825 | − | 3.00041i | 0.0721124 | − | 0.112209i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 7.17271 | + | 0.639938i | 0.267870 | + | 0.0238989i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 2.01198 | + | 10.4392i | 0.0750343 | + | 0.389315i | 0.999958 | + | 0.00916223i | \(0.00291647\pi\) |
−0.924924 | + | 0.380153i | \(0.875871\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 27.3894 | − | 34.8284i | 1.02003 | − | 1.29708i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 11.3449 | + | 5.75972i | 0.421922 | + | 0.214206i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 3.75723 | − | 0.911495i | 0.139540 | − | 0.0338521i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −5.86785 | − | 11.3820i | −0.217627 | − | 0.422137i | 0.754598 | − | 0.656188i | \(-0.227832\pi\) |
−0.972224 | + | 0.234051i | \(0.924802\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 23.2424 | + | 13.7401i | 0.860831 | + | 0.508892i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 7.82691 | + | 3.13342i | 0.289489 | + | 0.115894i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −16.0598 | − | 5.55836i | −0.593183 | − | 0.205303i | 0.0139503 | − | 0.999903i | \(-0.495559\pi\) |
−0.607133 | + | 0.794600i | \(0.707681\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −7.30242 | − | 4.62909i | −0.269354 | − | 0.170746i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −10.2307 | − | 0.462265i | −0.376852 | − | 0.0170277i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −36.7435 | + | 26.1649i | −1.35163 | + | 0.962491i | −0.351981 | + | 0.936007i | \(0.614492\pi\) |
−0.999649 | + | 0.0264840i | \(0.991569\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −32.1184 | + | 1.73018i | −1.17990 | + | 0.0635599i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 12.6837 | − | 31.6823i | 0.465319 | − | 1.16231i | −0.491305 | − | 0.870987i | \(-0.663480\pi\) |
0.956625 | − | 0.291324i | \(-0.0940956\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −4.62007 | − | 15.7345i | −0.169266 | − | 0.576469i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 41.0297 | + | 13.6317i | 1.50120 | + | 0.498756i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −0.0692195 | − | 0.285327i | −0.00252923 | − | 0.0104256i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −12.4611 | − | 14.3809i | −0.454713 | − | 0.524767i | 0.481383 | − | 0.876510i | \(-0.340135\pi\) |
−0.936097 | + | 0.351743i | \(0.885589\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 38.2420 | + | 10.9711i | 1.39362 | + | 0.399808i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 2.80167 | − | 0.539977i | 0.101963 | − | 0.0196518i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 9.08557 | − | 17.6236i | 0.330221 | − | 0.640539i | −0.664019 | − | 0.747716i | \(-0.731151\pi\) |
0.994240 | + | 0.107177i | \(0.0341810\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 2.77293 | − | 14.8847i | 0.100651 | − | 0.540281i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −11.7391 | − | 10.1720i | −0.425542 | − | 0.368734i | 0.415601 | − | 0.909547i | \(-0.363571\pi\) |
−0.841143 | + | 0.540813i | \(0.818117\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 41.1653 | + | 7.93396i | 1.49028 | + | 0.287228i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 9.05617 | − | 5.37981i | 0.327427 | − | 0.194508i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −18.0079 | + | 31.1906i | −0.650227 | + | 1.12623i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 33.5752 | + | 1.59938i | 1.21075 | + | 0.0576752i | 0.643223 | − | 0.765679i | \(-0.277597\pi\) |
0.567528 | + | 0.823354i | \(0.307900\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 3.93443 | + | 0.928622i | 0.141695 | + | 0.0334435i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −6.40397 | + | 6.71629i | −0.230335 | + | 0.241568i | −0.828751 | − | 0.559617i | \(-0.810948\pi\) |
0.598417 | + | 0.801185i | \(0.295797\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −19.3772 | + | 11.1874i | −0.696048 | + | 0.401864i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −40.7173 | + | 23.8469i | −1.46072 | + | 0.855501i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 24.2326 | + | 7.11533i | 0.868223 | + | 0.254933i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −13.9065 | + | 0.662446i | −0.497612 | + | 0.0237042i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −5.05040 | + | 1.32542i | −0.180487 | + | 0.0473666i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −8.12520 | − | 0.775863i | −0.290001 | − | 0.0276917i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 24.0043 | − | 8.30797i | 0.855661 | − | 0.296147i | 0.136201 | − | 0.990681i | \(-0.456511\pi\) |
0.719460 | + | 0.694534i | \(0.244389\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 19.1849 | − | 20.3727i | 0.683002 | − | 0.725287i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 27.3229 | + | 28.6554i | 0.971491 | + | 1.01887i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 23.9749 | − | 9.59810i | 0.851373 | − | 0.340838i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −0.542595 | + | 13.1041i | −0.0192438 | + | 0.464754i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 2.83359 | + | 29.6747i | 0.100371 | + | 1.05113i | 0.895611 | + | 0.444838i | \(0.146739\pi\) |
−0.795240 | + | 0.606295i | \(0.792655\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 5.44468 | − | 37.8686i | 0.192619 | − | 1.33969i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −42.3417 | − | 9.71616i | −1.49607 | − | 0.343304i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −7.59763 | −0.268115 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −25.6011 | −0.902321 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −31.2669 | − | 21.9734i | −1.10065 | − | 0.773501i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −1.33584 | + | 9.29101i | −0.0469658 | + | 0.326654i | 0.952771 | + | 0.303691i | \(0.0982191\pi\) |
−0.999736 | + | 0.0229631i | \(0.992690\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −4.16515 | − | 43.6194i | −0.146258 | − | 1.53169i | −0.709092 | − | 0.705116i | \(-0.750895\pi\) |
0.562834 | − | 0.826570i | \(-0.309711\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −33.3189 | − | 1.37962i | −1.16855 | − | 0.0483855i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 6.42924 | − | 2.57388i | 0.225207 | − | 0.0901591i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 12.4403 | + | 13.0471i | 0.435233 | + | 0.456459i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −25.3658 | − | 9.79078i | −0.886352 | − | 0.342117i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −12.8999 | + | 4.46471i | −0.450211 | + | 0.155819i | −0.542759 | − | 0.839889i | \(-0.682620\pi\) |
0.0925478 | + | 0.995708i | \(0.470499\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 17.7364 | + | 1.69362i | 0.618253 | + | 0.0590360i | 0.399483 | − | 0.916740i | \(-0.369190\pi\) |
0.218770 | + | 0.975776i | \(0.429796\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 4.12390 | − | 7.24648i | 0.143576 | − | 0.252290i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 13.0139 | − | 0.619930i | 0.452539 | − | 0.0215571i | 0.179924 | − | 0.983680i | \(-0.442415\pi\) |
0.272614 | + | 0.962123i | \(0.412112\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −15.6247 | − | 4.58782i | −0.542667 | − | 0.159341i | −0.00110076 | − | 0.999999i | \(-0.500350\pi\) |
−0.541567 | + | 0.840658i | \(0.682169\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 5.60419 | + | 9.56886i | 0.194407 | + | 0.331940i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −13.1705 | + | 7.60398i | −0.456330 | + | 0.263462i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 8.23969 | − | 8.64154i | 0.285146 | − | 0.299053i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 25.8830 | − | 15.5943i | 0.894649 | − | 0.539019i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −46.6955 | − | 2.22438i | −1.61211 | − | 0.0767941i | −0.777952 | − | 0.628324i | \(-0.783741\pi\) |
−0.834155 | + | 0.551530i | \(0.814044\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −13.9951 | + | 24.2403i | −0.482590 | + | 0.835871i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 4.60684 | + | 30.6858i | 0.158668 | + | 1.05688i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 6.27114 | + | 1.20866i | 0.215734 | + | 0.0415793i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −24.3367 | − | 21.0879i | −0.836219 | − | 0.724588i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −22.7165 | − | 4.23194i | −0.779627 | − | 0.145240i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −25.5539 | + | 49.5676i | −0.875976 | + | 1.69916i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 24.4914 | − | 4.72034i | 0.838571 | − | 0.161621i | 0.248155 | − | 0.968720i | \(-0.420176\pi\) |
0.590416 | + | 0.807099i | \(0.298964\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 22.3934 | − | 2.41963i | 0.765837 | − | 0.0827497i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −1.11046 | − | 1.28154i | −0.0379326 | − | 0.0437766i | 0.736466 | − | 0.676474i | \(-0.236493\pi\) |
−0.774399 | + | 0.632698i | \(0.781948\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −8.29405 | − | 34.1885i | −0.282989 | − | 1.16650i | −0.918822 | − | 0.394671i | \(-0.870858\pi\) |
0.635833 | − | 0.771827i | \(-0.280657\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 16.2212 | + | 13.8801i | 0.552817 | + | 0.473033i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −11.5478 | − | 39.3283i | −0.393093 | − | 1.33875i | −0.883979 | − | 0.467527i | \(-0.845145\pi\) |
0.490886 | − | 0.871224i | \(-0.336673\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 2.48593 | − | 6.20956i | 0.0845242 | − | 0.211131i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 0.587223 | + | 10.9010i | 0.0199431 | + | 0.370217i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −9.61141 | + | 6.84426i | −0.326045 | + | 0.232176i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 7.15908 | + | 20.5222i | 0.242576 | + | 0.695370i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 3.05723 | − | 16.9970i | 0.103472 | − | 0.575262i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −30.6360 | − | 10.6032i | −1.03569 | − | 0.358455i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −25.6951 | − | 10.2868i | −0.867662 | − | 0.347359i | −0.105245 | − | 0.994446i | \(-0.533563\pi\) |
−0.762416 | + | 0.647087i | \(0.775987\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −2.77875 | − | 3.48861i | −0.0937250 | − | 0.117668i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 8.04165 | + | 15.5986i | 0.270930 | + | 0.525531i | 0.984572 | − | 0.174980i | \(-0.0559860\pi\) |
−0.713642 | + | 0.700510i | \(0.752956\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −15.7707 | + | 3.82592i | −0.530725 | + | 0.128753i | −0.492162 | − | 0.870504i | \(-0.663793\pi\) |
−0.0385631 | + | 0.999256i | \(0.512278\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 11.4170 | − | 22.4881i | 0.383778 | − | 0.755928i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 28.9700 | − | 36.8384i | 0.972717 | − | 1.23691i | 0.00118616 | − | 0.999999i | \(-0.499622\pi\) |
0.971531 | − | 0.236911i | \(-0.0761351\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 6.15501 | + | 31.9352i | 0.206432 | + | 1.07107i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −5.38596 | + | 9.88873i | −0.180436 | + | 0.331285i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 44.2277 | − | 68.8197i | 1.48002 | − | 2.30296i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 5.53340 | − | 6.38588i | 0.184961 | − | 0.213457i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −31.5148 | + | 6.27744i | −1.05225 | + | 0.209597i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −1.37771 | + | 5.67898i | −0.0459491 | + | 0.189405i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 19.9785 | + | 11.5346i | 0.665580 | + | 0.384273i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 5.07361 | + | 14.3696i | 0.168839 | + | 0.478189i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −4.06848 | + | 5.71338i | −0.135241 | + | 0.189919i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 7.50255 | + | 7.15367i | 0.249118 | + | 0.237534i | 0.804341 | − | 0.594168i | \(-0.202519\pi\) |
−0.555223 | + | 0.831702i | \(0.687367\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 30.2248 | + | 8.46806i | 1.00249 | + | 0.280868i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −28.5137 | + | 4.09965i | −0.944700 | + | 0.135827i | −0.597415 | − | 0.801932i | \(-0.703806\pi\) |
−0.347285 | + | 0.937760i | \(0.612896\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −5.07995 | + | 17.3007i | −0.168122 | + | 0.572571i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −16.4027 | + | 7.61446i | −0.542257 | + | 0.251726i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 10.9141 | − | 8.58293i | 0.360415 | − | 0.283433i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −1.50413 | + | 15.7520i | −0.0496167 | + | 0.519610i | 0.936163 | + | 0.351567i | \(0.114351\pi\) |
−0.985780 | + | 0.168043i | \(0.946255\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 24.6334 | + | 28.0738i | 0.811697 | + | 0.925064i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 12.2746 | + | 26.8775i | 0.404022 | + | 0.884685i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −22.2257 | + | 21.1922i | −0.730777 | + | 0.696794i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −15.7363 | + | 35.6234i | −0.516848 | + | 1.17002i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 16.9192 | − | 37.0480i | 0.555102 | − | 1.21550i | −0.399256 | − | 0.916840i | \(-0.630731\pi\) |
0.954358 | − | 0.298665i | \(-0.0965414\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −32.3715 | + | 3.09111i | −1.06093 | + | 0.101307i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −4.92971 | − | 19.7829i | −0.161391 | − | 0.647664i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 2.37506 | + | 3.69566i | 0.0776726 | + | 0.120861i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 41.4600i | 1.35444i | 0.735781 | + | 0.677220i | \(0.236815\pi\) | ||||
−0.735781 | + | 0.677220i | \(0.763185\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −5.43820 | − | 13.3430i | −0.177469 | − | 0.435431i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 23.7722 | − | 15.2775i | 0.774952 | − | 0.498032i | −0.0924026 | − | 0.995722i | \(-0.529455\pi\) |
0.867355 | + | 0.497690i | \(0.165818\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 24.9744 | + | 3.59078i | 0.813279 | + | 0.116932i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 18.1056 | + | 5.89066i | 0.588976 | + | 0.191623i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −1.15515 | − | 0.527538i | −0.0375372 | − | 0.0171427i | 0.396558 | − | 0.918010i | \(-0.370205\pi\) |
−0.434095 | + | 0.900867i | \(0.642932\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 5.99297 | + | 14.9697i | 0.194540 | + | 0.485937i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −9.69542 | − | 4.35511i | −0.314395 | − | 0.141224i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 19.3910 | − | 8.85559i | 0.628137 | − | 0.286861i | −0.0757999 | − | 0.997123i | \(-0.524151\pi\) |
0.703937 | + | 0.710262i | \(0.251424\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 5.40579 | + | 15.6190i | 0.174927 | + | 0.505419i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −0.626478 | − | 2.08553i | −0.0202512 | − | 0.0674158i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −33.0334 | − | 42.0054i | −1.06670 | − | 1.35642i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −0.134137 | − | 2.81589i | −0.00432701 | − | 0.0908351i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0.121093 | + | 0.227886i | 0.00390217 | + | 0.00734351i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 1.72169 | + | 11.9746i | 0.0554231 | + | 0.385476i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 21.4066 | + | 37.0773i | 0.688390 | + | 1.19233i | 0.972359 | + | 0.233493i | \(0.0750155\pi\) |
−0.283969 | + | 0.958834i | \(0.591651\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 14.4956 | − | 36.8710i | 0.465667 | − | 1.18447i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −2.70122 | − | 1.92353i | −0.0866862 | − | 0.0617290i | 0.535892 | − | 0.844286i | \(-0.319975\pi\) |
−0.622578 | + | 0.782558i | \(0.713915\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −1.52510 | + | 32.0158i | −0.0488925 | + | 1.02638i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −17.5307 | − | 2.40940i | −0.561433 | − | 0.0771624i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −45.5433 | − | 11.0487i | −1.45706 | − | 0.353479i | −0.572499 | − | 0.819905i | \(-0.694026\pi\) |
−0.884560 | + | 0.466427i | \(0.845541\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 3.42877 | − | 17.7901i | 0.109584 | − | 0.568575i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −36.7815 | + | 2.21079i | −1.17434 | + | 0.0705852i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 18.0559 | + | 11.6038i | 0.575894 | + | 0.370105i | 0.795932 | − | 0.605387i | \(-0.206981\pi\) |
−0.220037 | + | 0.975492i | \(0.570618\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −12.5653 | − | 6.47784i | −0.400362 | − | 0.206401i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 57.9412 | − | 37.7476i | 1.84429 | − | 1.20152i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 14.1568 | + | 11.1331i | 0.450161 | + | 0.354010i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −25.7176 | + | 22.2844i | −0.816945 | + | 0.707887i | −0.959441 | − | 0.281908i | \(-0.909033\pi\) |
0.142496 | + | 0.989795i | \(0.454487\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 6.47639 | − | 4.67276i | 0.205522 | − | 0.148286i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −0.943621 | + | 0.486471i | −0.0299148 | + | 0.0154222i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −35.8027 | + | 10.5126i | −1.13388 | + | 0.332938i | −0.794232 | − | 0.607614i | \(-0.792127\pi\) |
−0.339650 | + | 0.940552i | \(0.610308\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 29.4774 | − | 29.1754i | 0.932624 | − | 0.923069i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 804.2.ba.b.41.16 | yes | 440 | |
3.2 | odd | 2 | inner | 804.2.ba.b.41.1 | ✓ | 440 | |
67.18 | odd | 66 | inner | 804.2.ba.b.353.1 | yes | 440 | |
201.152 | even | 66 | inner | 804.2.ba.b.353.16 | yes | 440 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.ba.b.41.1 | ✓ | 440 | 3.2 | odd | 2 | inner | |
804.2.ba.b.41.16 | yes | 440 | 1.1 | even | 1 | trivial | |
804.2.ba.b.353.1 | yes | 440 | 67.18 | odd | 66 | inner | |
804.2.ba.b.353.16 | yes | 440 | 201.152 | even | 66 | inner |