Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [8100,2,Mod(1,8100)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(8100, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("8100.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 8100 = 2^{2} \cdot 3^{4} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8100.a (trivial) |
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: | yes |
Analytic conductor: | \(64.6788256372\) |
Analytic rank: | \(1\) |
Dimension: | \(6\) |
Coefficient field: | 6.6.1207701504.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 14x^{4} + 43x^{2} - 36 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{13}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 180) |
Fricke sign: | \(1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.1 | ||
Root | \(1.20590\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 8100.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
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 | 0 | ||||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −3.76963 | −1.42479 | −0.712394 | − | 0.701780i | \(-0.752389\pi\) | ||||
−0.712394 | + | 0.701780i | \(0.752389\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −3.54580 | −1.06910 | −0.534550 | − | 0.845137i | \(-0.679519\pi\) | ||||
−0.534550 | + | 0.845137i | \(0.679519\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.00351 | 0.278322 | 0.139161 | − | 0.990270i | \(-0.455559\pi\) | ||||
0.139161 | + | 0.990270i | \(0.455559\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.56023 | 0.378410 | 0.189205 | − | 0.981938i | \(-0.439409\pi\) | ||||
0.189205 | + | 0.981938i | \(0.439409\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 7.21013 | 1.65412 | 0.827058 | − | 0.562116i | \(-0.190013\pi\) | ||||
0.827058 | + | 0.562116i | \(0.190013\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 6.18143 | 1.28892 | 0.644459 | − | 0.764639i | \(-0.277083\pi\) | ||||
0.644459 | + | 0.764639i | \(0.277083\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −3.00000 | −0.557086 | −0.278543 | − | 0.960424i | \(-0.589851\pi\) | ||||
−0.278543 | + | 0.960424i | \(0.589851\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.78285 | −1.03863 | −0.519315 | − | 0.854583i | \(-0.673813\pi\) | ||||
−0.519315 | + | 0.854583i | \(0.673813\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.851576 | 0.139998 | 0.0699991 | − | 0.997547i | \(-0.477700\pi\) | ||||
0.0699991 | + | 0.997547i | \(0.477700\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −3.11852 | −0.487031 | −0.243516 | − | 0.969897i | \(-0.578301\pi\) | ||||
−0.243516 | + | 0.969897i | \(0.578301\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.70666 | −0.412761 | −0.206381 | − | 0.978472i | \(-0.566169\pi\) | ||||
−0.206381 | + | 0.978472i | \(0.566169\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 9.74867 | 1.42199 | 0.710995 | − | 0.703197i | \(-0.248245\pi\) | ||||
0.710995 | + | 0.703197i | \(0.248245\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 7.21013 | 1.03002 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −11.2494 | −1.54523 | −0.772614 | − | 0.634876i | \(-0.781051\pi\) | ||||
−0.772614 | + | 0.634876i | \(0.781051\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −9.66433 | −1.25819 | −0.629094 | − | 0.777329i | \(-0.716574\pi\) | ||||
−0.629094 | + | 0.777329i | \(0.716574\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −8.21013 | −1.05120 | −0.525600 | − | 0.850732i | \(-0.676159\pi\) | ||||
−0.525600 | + | 0.850732i | \(0.676159\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.91806 | −0.356497 | −0.178249 | − | 0.983985i | \(-0.557043\pi\) | ||||
−0.178249 | + | 0.983985i | \(0.557043\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 7.21013 | 0.855685 | 0.427842 | − | 0.903853i | \(-0.359274\pi\) | ||||
0.427842 | + | 0.903853i | \(0.359274\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 16.7817 | 1.96415 | 0.982074 | − | 0.188498i | \(-0.0603618\pi\) | ||||
0.982074 | + | 0.188498i | \(0.0603618\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 13.3664 | 1.52324 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 10.9930 | 1.23681 | 0.618403 | − | 0.785861i | \(-0.287780\pi\) | ||||
0.618403 | + | 0.785861i | \(0.287780\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 10.1955 | 1.11910 | 0.559548 | − | 0.828798i | \(-0.310975\pi\) | ||||
0.559548 | + | 0.828798i | \(0.310975\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −5.33567 | −0.565580 | −0.282790 | − | 0.959182i | \(-0.591260\pi\) | ||||
−0.282790 | + | 0.959182i | \(0.591260\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.78285 | −0.396550 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −3.86209 | −0.392136 | −0.196068 | − | 0.980590i | \(-0.562817\pi\) | ||||
−0.196068 | + | 0.980590i | \(0.562817\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 4.75593 | 0.473233 | 0.236616 | − | 0.971603i | \(-0.423962\pi\) | ||||
0.236616 | + | 0.971603i | \(0.423962\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 18.0890 | 1.78237 | 0.891183 | − | 0.453643i | \(-0.149876\pi\) | ||||
0.891183 | + | 0.453643i | \(0.149876\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −3.61770 | −0.349737 | −0.174868 | − | 0.984592i | \(-0.555950\pi\) | ||||
−0.174868 | + | 0.984592i | \(0.555950\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −9.63741 | −0.923096 | −0.461548 | − | 0.887115i | \(-0.652706\pi\) | ||||
−0.461548 | + | 0.887115i | \(0.652706\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 3.55823 | 0.334730 | 0.167365 | − | 0.985895i | \(-0.446474\pi\) | ||||
0.167365 | + | 0.985895i | \(0.446474\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −5.88148 | −0.539154 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.57272 | 0.142974 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −6.78015 | −0.601641 | −0.300820 | − | 0.953681i | \(-0.597261\pi\) | ||||
−0.300820 | + | 0.953681i | \(0.597261\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −3.42728 | −0.299443 | −0.149721 | − | 0.988728i | \(-0.547838\pi\) | ||||
−0.149721 | + | 0.988728i | \(0.547838\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −27.1795 | −2.35676 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −14.9266 | −1.27527 | −0.637633 | − | 0.770340i | \(-0.720086\pi\) | ||||
−0.637633 | + | 0.770340i | \(0.720086\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −5.42728 | −0.460336 | −0.230168 | − | 0.973151i | \(-0.573928\pi\) | ||||
−0.230168 | + | 0.973151i | \(0.573928\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −3.55823 | −0.297554 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 5.53878 | 0.453754 | 0.226877 | − | 0.973923i | \(-0.427148\pi\) | ||||
0.226877 | + | 0.973923i | \(0.427148\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.217152 | 0.0176716 | 0.00883580 | − | 0.999961i | \(-0.497187\pi\) | ||||
0.00883580 | + | 0.999961i | \(0.497187\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2.15894 | 0.172302 | 0.0861511 | − | 0.996282i | \(-0.472543\pi\) | ||||
0.0861511 | + | 0.996282i | \(0.472543\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −23.3017 | −1.83643 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 8.39084 | 0.657221 | 0.328611 | − | 0.944465i | \(-0.393420\pi\) | ||||
0.328611 | + | 0.944465i | \(0.393420\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −4.62121 | −0.357600 | −0.178800 | − | 0.983885i | \(-0.557221\pi\) | ||||
−0.178800 | + | 0.983885i | \(0.557221\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −11.9930 | −0.922537 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 1.45029 | 0.110264 | 0.0551318 | − | 0.998479i | \(-0.482442\pi\) | ||||
0.0551318 | + | 0.998479i | \(0.482442\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −19.4472 | −1.45355 | −0.726775 | − | 0.686876i | \(-0.758982\pi\) | ||||
−0.726775 | + | 0.686876i | \(0.758982\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −10.4273 | −0.775054 | −0.387527 | − | 0.921858i | \(-0.626671\pi\) | ||||
−0.387527 | + | 0.921858i | \(0.626671\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −5.53225 | −0.404558 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −3.78285 | −0.273717 | −0.136859 | − | 0.990591i | \(-0.543701\pi\) | ||||
−0.136859 | + | 0.990591i | \(0.543701\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −14.0750 | −1.01314 | −0.506571 | − | 0.862198i | \(-0.669087\pi\) | ||||
−0.506571 | + | 0.862198i | \(0.669087\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −21.5044 | −1.53212 | −0.766061 | − | 0.642768i | \(-0.777786\pi\) | ||||
−0.766061 | + | 0.642768i | \(0.777786\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 7.21013 | 0.511112 | 0.255556 | − | 0.966794i | \(-0.417741\pi\) | ||||
0.255556 | + | 0.966794i | \(0.417741\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 11.3089 | 0.793729 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −25.5657 | −1.76842 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3.78285 | 0.260422 | 0.130211 | − | 0.991486i | \(-0.458435\pi\) | ||||
0.130211 | + | 0.991486i | \(0.458435\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 21.7992 | 1.47983 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 1.56570 | 0.105320 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.91806 | 0.195408 | 0.0977038 | − | 0.995216i | \(-0.468850\pi\) | ||||
0.0977038 | + | 0.995216i | \(0.468850\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 5.11846 | 0.339724 | 0.169862 | − | 0.985468i | \(-0.445668\pi\) | ||||
0.169862 | + | 0.985468i | \(0.445668\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −9.42026 | −0.622508 | −0.311254 | − | 0.950327i | \(-0.600749\pi\) | ||||
−0.311254 | + | 0.950327i | \(0.600749\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −26.1850 | −1.71544 | −0.857719 | − | 0.514118i | \(-0.828119\pi\) | ||||
−0.857719 | + | 0.514118i | \(0.828119\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −22.7559 | −1.47196 | −0.735979 | − | 0.677004i | \(-0.763278\pi\) | ||||
−0.735979 | + | 0.677004i | \(0.763278\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 16.6304 | 1.07126 | 0.535629 | − | 0.844454i | \(-0.320075\pi\) | ||||
0.535629 | + | 0.844454i | \(0.320075\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 7.23541 | 0.460378 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −20.7758 | −1.31136 | −0.655679 | − | 0.755040i | \(-0.727618\pi\) | ||||
−0.655679 | + | 0.755040i | \(0.727618\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −21.9181 | −1.37798 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −19.0596 | −1.18890 | −0.594451 | − | 0.804132i | \(-0.702631\pi\) | ||||
−0.594451 | + | 0.804132i | \(0.702631\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −3.21013 | −0.199468 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −8.13798 | −0.501809 | −0.250905 | − | 0.968012i | \(-0.580728\pi\) | ||||
−0.250905 | + | 0.968012i | \(0.580728\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −25.6374 | −1.56314 | −0.781570 | − | 0.623817i | \(-0.785581\pi\) | ||||
−0.781570 | + | 0.623817i | \(0.785581\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −3.21013 | −0.195001 | −0.0975007 | − | 0.995235i | \(-0.531085\pi\) | ||||
−0.0975007 | + | 0.995235i | \(0.531085\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −0.699646 | −0.0420377 | −0.0210188 | − | 0.999779i | \(-0.506691\pi\) | ||||
−0.0210188 | + | 0.999779i | \(0.506691\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −30.6304 | −1.82726 | −0.913628 | − | 0.406552i | \(-0.866731\pi\) | ||||
−0.913628 | + | 0.406552i | \(0.866731\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −9.60575 | −0.571002 | −0.285501 | − | 0.958378i | \(-0.592160\pi\) | ||||
−0.285501 | + | 0.958378i | \(0.592160\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 11.7557 | 0.693916 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −14.5657 | −0.856806 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −3.01052 | −0.175876 | −0.0879381 | − | 0.996126i | \(-0.528028\pi\) | ||||
−0.0879381 | + | 0.996126i | \(0.528028\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 6.20310 | 0.358735 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 10.2031 | 0.588097 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −14.8671 | −0.848512 | −0.424256 | − | 0.905542i | \(-0.639464\pi\) | ||||
−0.424256 | + | 0.905542i | \(0.639464\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 3.07171 | 0.174181 | 0.0870905 | − | 0.996200i | \(-0.472243\pi\) | ||||
0.0870905 | + | 0.996200i | \(0.472243\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 23.0136 | 1.30080 | 0.650402 | − | 0.759590i | \(-0.274600\pi\) | ||||
0.650402 | + | 0.759590i | \(0.274600\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 0.00900354 | 0.000505689 0 | 0.000252844 | − | 1.00000i | \(-0.499920\pi\) | ||||
0.000252844 | 1.00000i | \(0.499920\pi\) | ||||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 10.6374 | 0.595581 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 11.2494 | 0.625935 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −36.7489 | −2.02603 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 8.99298 | 0.494299 | 0.247149 | − | 0.968977i | \(-0.420506\pi\) | ||||
0.247149 | + | 0.968977i | \(0.420506\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −5.26139 | −0.286606 | −0.143303 | − | 0.989679i | \(-0.545772\pi\) | ||||
−0.143303 | + | 0.989679i | \(0.545772\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 20.5048 | 1.11040 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −0.792107 | −0.0427698 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −21.4954 | −1.15393 | −0.576965 | − | 0.816769i | \(-0.695763\pi\) | ||||
−0.576965 | + | 0.816769i | \(0.695763\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −12.5657 | −0.672626 | −0.336313 | − | 0.941750i | \(-0.609180\pi\) | ||||
−0.336313 | + | 0.941750i | \(0.609180\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −25.0626 | −1.33395 | −0.666973 | − | 0.745081i | \(-0.732411\pi\) | ||||
−0.666973 | + | 0.745081i | \(0.732411\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 23.1961 | 1.22424 | 0.612121 | − | 0.790764i | \(-0.290316\pi\) | ||||
0.612121 | + | 0.790764i | \(0.290316\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 32.9860 | 1.73610 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 17.7852 | 0.928379 | 0.464190 | − | 0.885736i | \(-0.346346\pi\) | ||||
0.464190 | + | 0.885736i | \(0.346346\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 42.4062 | 2.20162 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 12.9196 | 0.668951 | 0.334475 | − | 0.942404i | \(-0.391441\pi\) | ||||
0.334475 | + | 0.942404i | \(0.391441\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −3.01052 | −0.155050 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −5.56570 | −0.285891 | −0.142945 | − | 0.989731i | \(-0.545657\pi\) | ||||
−0.142945 | + | 0.989731i | \(0.545657\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −29.7433 | −1.51981 | −0.759905 | − | 0.650034i | \(-0.774755\pi\) | ||||
−0.759905 | + | 0.650034i | \(0.774755\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −7.55283 | −0.382944 | −0.191472 | − | 0.981498i | \(-0.561326\pi\) | ||||
−0.191472 | + | 0.981498i | \(0.561326\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 9.64443 | 0.487740 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 30.1571 | 1.51354 | 0.756770 | − | 0.653682i | \(-0.226776\pi\) | ||||
0.756770 | + | 0.653682i | \(0.226776\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −21.6643 | −1.08186 | −0.540932 | − | 0.841066i | \(-0.681929\pi\) | ||||
−0.540932 | + | 0.841066i | \(0.681929\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −5.80312 | −0.289074 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −3.01952 | −0.149672 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −8.13841 | −0.402419 | −0.201209 | − | 0.979548i | \(-0.564487\pi\) | ||||
−0.201209 | + | 0.979548i | \(0.564487\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 36.4310 | 1.79265 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 13.2947 | 0.649489 | 0.324745 | − | 0.945802i | \(-0.394722\pi\) | ||||
0.324745 | + | 0.945802i | \(0.394722\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 20.1384 | 0.981486 | 0.490743 | − | 0.871304i | \(-0.336725\pi\) | ||||
0.490743 | + | 0.871304i | \(0.336725\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 30.9492 | 1.49774 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 25.8027 | 1.24287 | 0.621437 | − | 0.783464i | \(-0.286549\pi\) | ||||
0.621437 | + | 0.783464i | \(0.286549\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −6.38383 | −0.306787 | −0.153394 | − | 0.988165i | \(-0.549020\pi\) | ||||
−0.153394 | + | 0.988165i | \(0.549020\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 44.5689 | 2.13202 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 10.9930 | 0.524666 | 0.262333 | − | 0.964977i | \(-0.415508\pi\) | ||||
0.262333 | + | 0.964977i | \(0.415508\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 25.2320 | 1.19881 | 0.599404 | − | 0.800447i | \(-0.295404\pi\) | ||||
0.599404 | + | 0.800447i | \(0.295404\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −19.5657 | −0.923362 | −0.461681 | − | 0.887046i | \(-0.652754\pi\) | ||||
−0.461681 | + | 0.887046i | \(0.652754\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 11.0577 | 0.520685 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 6.53576 | 0.305730 | 0.152865 | − | 0.988247i | \(-0.451150\pi\) | ||||
0.152865 | + | 0.988247i | \(0.451150\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −35.4203 | −1.64969 | −0.824843 | − | 0.565362i | \(-0.808736\pi\) | ||||
−0.824843 | + | 0.565362i | \(0.808736\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −16.2670 | −0.755990 | −0.377995 | − | 0.925808i | \(-0.623386\pi\) | ||||
−0.377995 | + | 0.925808i | \(0.623386\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 15.8112 | 0.731654 | 0.365827 | − | 0.930683i | \(-0.380786\pi\) | ||||
0.365827 | + | 0.930683i | \(0.380786\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 11.0000 | 0.507933 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 9.59728 | 0.441283 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −32.7419 | −1.49601 | −0.748007 | − | 0.663690i | \(-0.768989\pi\) | ||||
−0.748007 | + | 0.663690i | \(0.768989\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.854561 | 0.0389646 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −36.4220 | −1.65044 | −0.825218 | − | 0.564814i | \(-0.808948\pi\) | ||||
−0.825218 | + | 0.564814i | \(0.808948\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −3.42728 | −0.154671 | −0.0773355 | − | 0.997005i | \(-0.524641\pi\) | ||||
−0.0773355 | + | 0.997005i | \(0.524641\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −4.68068 | −0.210807 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −27.1795 | −1.21917 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 3.42728 | 0.153426 | 0.0767131 | − | 0.997053i | \(-0.475557\pi\) | ||||
0.0767131 | + | 0.997053i | \(0.475557\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 17.4219 | 0.776802 | 0.388401 | − | 0.921490i | \(-0.373027\pi\) | ||||
0.388401 | + | 0.921490i | \(0.373027\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −14.1454 | −0.626986 | −0.313493 | − | 0.949591i | \(-0.601499\pi\) | ||||
−0.313493 | + | 0.949591i | \(0.601499\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −63.2608 | −2.79849 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −34.5669 | −1.52025 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −20.2300 | −0.886293 | −0.443147 | − | 0.896449i | \(-0.646138\pi\) | ||||
−0.443147 | + | 0.896449i | \(0.646138\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −36.3295 | −1.58858 | −0.794289 | − | 0.607540i | \(-0.792156\pi\) | ||||
−0.794289 | + | 0.607540i | \(0.792156\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −9.02255 | −0.393028 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 15.2101 | 0.661310 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −3.12946 | −0.135552 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −25.5657 | −1.10119 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 24.8475 | 1.06828 | 0.534140 | − | 0.845396i | \(-0.320636\pi\) | ||||
0.534140 | + | 0.845396i | \(0.320636\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 32.1046 | 1.37269 | 0.686347 | − | 0.727274i | \(-0.259213\pi\) | ||||
0.686347 | + | 0.727274i | \(0.259213\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −21.6304 | −0.921485 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −41.4395 | −1.76219 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 17.3894 | 0.736813 | 0.368406 | − | 0.929665i | \(-0.379904\pi\) | ||||
0.368406 | + | 0.929665i | \(0.379904\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −2.71615 | −0.114881 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −27.3399 | −1.15224 | −0.576120 | − | 0.817365i | \(-0.695434\pi\) | ||||
−0.576120 | + | 0.817365i | \(0.695434\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −15.1902 | −0.636808 | −0.318404 | − | 0.947955i | \(-0.603147\pi\) | ||||
−0.318404 | + | 0.947955i | \(0.603147\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −38.7021 | −1.61963 | −0.809816 | − | 0.586684i | \(-0.800433\pi\) | ||||
−0.809816 | + | 0.586684i | \(0.800433\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −3.82910 | −0.159408 | −0.0797038 | − | 0.996819i | \(-0.525397\pi\) | ||||
−0.0797038 | + | 0.996819i | \(0.525397\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −38.4331 | −1.59447 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 39.8883 | 1.65200 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 24.6843 | 1.01883 | 0.509415 | − | 0.860521i | \(-0.329862\pi\) | ||||
0.509415 | + | 0.860521i | \(0.329862\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −41.6951 | −1.71802 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 38.4290 | 1.57809 | 0.789044 | − | 0.614336i | \(-0.210576\pi\) | ||||
0.789044 | + | 0.614336i | \(0.210576\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 15.4273 | 0.630342 | 0.315171 | − | 0.949035i | \(-0.397938\pi\) | ||||
0.315171 | + | 0.949035i | \(0.397938\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −0.572719 | −0.0233617 | −0.0116809 | − | 0.999932i | \(-0.503718\pi\) | ||||
−0.0116809 | + | 0.999932i | \(0.503718\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −9.05803 | −0.367654 | −0.183827 | − | 0.982959i | \(-0.558849\pi\) | ||||
−0.183827 | + | 0.982959i | \(0.558849\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 9.78285 | 0.395772 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 6.99155 | 0.282386 | 0.141193 | − | 0.989982i | \(-0.454906\pi\) | ||||
0.141193 | + | 0.989982i | \(0.454906\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 19.8342 | 0.798495 | 0.399247 | − | 0.916843i | \(-0.369271\pi\) | ||||
0.399247 | + | 0.916843i | \(0.369271\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −28.2031 | −1.13358 | −0.566789 | − | 0.823863i | \(-0.691815\pi\) | ||||
−0.566789 | + | 0.823863i | \(0.691815\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 20.1135 | 0.805832 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 1.32865 | 0.0529768 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −7.27482 | −0.289606 | −0.144803 | − | 0.989461i | \(-0.546255\pi\) | ||||
−0.144803 | + | 0.989461i | \(0.546255\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 7.23541 | 0.286677 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 12.8674 | 0.508233 | 0.254116 | − | 0.967174i | \(-0.418215\pi\) | ||||
0.254116 | + | 0.967174i | \(0.418215\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 25.2320 | 0.995053 | 0.497526 | − | 0.867449i | \(-0.334242\pi\) | ||||
0.497526 | + | 0.867449i | \(0.334242\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 23.5618 | 0.926311 | 0.463156 | − | 0.886277i | \(-0.346717\pi\) | ||||
0.463156 | + | 0.886277i | \(0.346717\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 34.2678 | 1.34513 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −17.3804 | −0.680147 | −0.340074 | − | 0.940399i | \(-0.610452\pi\) | ||||
−0.340074 | + | 0.940399i | \(0.610452\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −15.6643 | −0.610195 | −0.305098 | − | 0.952321i | \(-0.598689\pi\) | ||||
−0.305098 | + | 0.952321i | \(0.598689\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 23.4273 | 0.911216 | 0.455608 | − | 0.890181i | \(-0.349422\pi\) | ||||
0.455608 | + | 0.890181i | \(0.349422\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −18.5443 | −0.718038 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 29.1115 | 1.12384 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 28.7308 | 1.10749 | 0.553745 | − | 0.832687i | \(-0.313198\pi\) | ||||
0.553745 | + | 0.832687i | \(0.313198\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 50.3540 | 1.93526 | 0.967632 | − | 0.252367i | \(-0.0812090\pi\) | ||||
0.967632 | + | 0.252367i | \(0.0812090\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 14.5587 | 0.558711 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 11.5953 | 0.443681 | 0.221841 | − | 0.975083i | \(-0.428794\pi\) | ||||
0.221841 | + | 0.975083i | \(0.428794\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −11.2889 | −0.430072 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 45.8475 | 1.74412 | 0.872061 | − | 0.489397i | \(-0.162783\pi\) | ||||
0.872061 | + | 0.489397i | \(0.162783\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −4.86560 | −0.184298 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −38.1115 | −1.43945 | −0.719726 | − | 0.694259i | \(-0.755732\pi\) | ||||
−0.719726 | + | 0.694259i | \(0.755732\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 6.13997 | 0.231573 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −17.9281 | −0.674256 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −2.28887 | −0.0859602 | −0.0429801 | − | 0.999076i | \(-0.513685\pi\) | ||||
−0.0429801 | + | 0.999076i | \(0.513685\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −35.7463 | −1.33871 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −16.6035 | −0.619205 | −0.309602 | − | 0.950866i | \(-0.600196\pi\) | ||||
−0.309602 | + | 0.950866i | \(0.600196\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −68.1891 | −2.53949 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −38.6074 | −1.43187 | −0.715934 | − | 0.698168i | \(-0.753999\pi\) | ||||
−0.715934 | + | 0.698168i | \(0.753999\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −4.22300 | −0.156193 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 33.9002 | 1.25213 | 0.626066 | − | 0.779770i | \(-0.284664\pi\) | ||||
0.626066 | + | 0.779770i | \(0.284664\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 10.3469 | 0.381131 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −36.8405 | −1.35520 | −0.677600 | − | 0.735431i | \(-0.736980\pi\) | ||||
−0.677600 | + | 0.735431i | \(0.736980\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 11.4278 | 0.419247 | 0.209623 | − | 0.977782i | \(-0.432776\pi\) | ||||
0.209623 | + | 0.977782i | \(0.432776\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 13.6374 | 0.498300 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −16.2031 | −0.591260 | −0.295630 | − | 0.955303i | \(-0.595529\pi\) | ||||
−0.295630 | + | 0.955303i | \(0.595529\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 8.08698 | 0.293926 | 0.146963 | − | 0.989142i | \(-0.453050\pi\) | ||||
0.146963 | + | 0.989142i | \(0.453050\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 21.4062 | 0.775974 | 0.387987 | − | 0.921665i | \(-0.373170\pi\) | ||||
0.387987 | + | 0.921665i | \(0.373170\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 36.3295 | 1.31522 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −9.69821 | −0.350182 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 51.4062 | 1.85376 | 0.926878 | − | 0.375364i | \(-0.122482\pi\) | ||||
0.926878 | + | 0.375364i | \(0.122482\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −22.4849 | −0.805607 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −25.5657 | −0.914813 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −4.71367 | −0.168024 | −0.0840121 | − | 0.996465i | \(-0.526773\pi\) | ||||
−0.0840121 | + | 0.996465i | \(0.526773\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −13.4132 | −0.476920 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −8.23891 | −0.292572 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −10.2639 | −0.363567 | −0.181784 | − | 0.983339i | \(-0.558187\pi\) | ||||
−0.181784 | + | 0.983339i | \(0.558187\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 15.2101 | 0.538096 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −59.5045 | −2.09987 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 21.9860 | 0.772985 | 0.386492 | − | 0.922293i | \(-0.373687\pi\) | ||||
0.386492 | + | 0.922293i | \(0.373687\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −25.6951 | −0.902276 | −0.451138 | − | 0.892454i | \(-0.648982\pi\) | ||||
−0.451138 | + | 0.892454i | \(0.648982\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −19.5153 | −0.682756 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 24.3933 | 0.851333 | 0.425667 | − | 0.904880i | \(-0.360040\pi\) | ||||
0.425667 | + | 0.904880i | \(0.360040\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −2.61420 | −0.0911252 | −0.0455626 | − | 0.998961i | \(-0.514508\pi\) | ||||
−0.0455626 | + | 0.998961i | \(0.514508\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 0.0684725 | 0.00238102 | 0.00119051 | − | 0.999999i | \(-0.499621\pi\) | ||||
0.00119051 | + | 0.999999i | \(0.499621\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −24.7828 | −0.860744 | −0.430372 | − | 0.902652i | \(-0.641618\pi\) | ||||
−0.430372 | + | 0.902652i | \(0.641618\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 11.2494 | 0.389770 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 45.2409 | 1.56189 | 0.780944 | − | 0.624601i | \(-0.214738\pi\) | ||||
0.780944 | + | 0.624601i | \(0.214738\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −20.0000 | −0.689655 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −5.92857 | −0.203708 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 5.26396 | 0.180446 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 20.2150 | 0.692148 | 0.346074 | − | 0.938207i | \(-0.387515\pi\) | ||||
0.346074 | + | 0.938207i | \(0.387515\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −26.8427 | −0.916929 | −0.458464 | − | 0.888713i | \(-0.651600\pi\) | ||||
−0.458464 | + | 0.888713i | \(0.651600\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 3.36259 | 0.114730 | 0.0573651 | − | 0.998353i | \(-0.481730\pi\) | ||||
0.0573651 | + | 0.998353i | \(0.481730\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −18.4524 | −0.628126 | −0.314063 | − | 0.949402i | \(-0.601690\pi\) | ||||
−0.314063 | + | 0.949402i | \(0.601690\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −38.9789 | −1.32227 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −2.92829 | −0.0992212 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 23.1985 | 0.783358 | 0.391679 | − | 0.920102i | \(-0.371894\pi\) | ||||
0.391679 | + | 0.920102i | \(0.371894\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 2.34854 | 0.0791244 | 0.0395622 | − | 0.999217i | \(-0.487404\pi\) | ||||
0.0395622 | + | 0.999217i | \(0.487404\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −16.3264 | −0.549428 | −0.274714 | − | 0.961526i | \(-0.588583\pi\) | ||||
−0.274714 | + | 0.961526i | \(0.588583\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −26.8427 | −0.901289 | −0.450645 | − | 0.892703i | \(-0.648806\pi\) | ||||
−0.450645 | + | 0.892703i | \(0.648806\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 25.5587 | 0.857210 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 70.2892 | 2.35214 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 17.3485 | 0.578606 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −17.5516 | −0.584730 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −7.84259 | −0.260409 | −0.130204 | − | 0.991487i | \(-0.541563\pi\) | ||||
−0.130204 | + | 0.991487i | \(0.541563\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 2.57272 | 0.0852380 | 0.0426190 | − | 0.999091i | \(-0.486430\pi\) | ||||
0.0426190 | + | 0.999091i | \(0.486430\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −36.1511 | −1.19643 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 12.9196 | 0.426642 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 42.4062 | 1.39885 | 0.699426 | − | 0.714705i | \(-0.253439\pi\) | ||||
0.699426 | + | 0.714705i | \(0.253439\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 7.23541 | 0.238156 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 51.8335 | 1.70060 | 0.850301 | − | 0.526297i | \(-0.176420\pi\) | ||||
0.850301 | + | 0.526297i | \(0.176420\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 51.9860 | 1.70377 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 16.9666 | 0.554275 | 0.277137 | − | 0.960830i | \(-0.410614\pi\) | ||||
0.277137 | + | 0.960830i | \(0.410614\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 5.65730 | 0.184423 | 0.0922114 | − | 0.995739i | \(-0.470606\pi\) | ||||
0.0922114 | + | 0.995739i | \(0.470606\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −19.2769 | −0.627744 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −35.3860 | −1.14989 | −0.574945 | − | 0.818192i | \(-0.694977\pi\) | ||||
−0.574945 | + | 0.818192i | \(0.694977\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 16.8405 | 0.546666 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 1.66116 | 0.0538101 | 0.0269051 | − | 0.999638i | \(-0.491435\pi\) | ||||
0.0269051 | + | 0.999638i | \(0.491435\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 56.2678 | 1.81698 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 2.44133 | 0.0787525 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −20.7362 | −0.666832 | −0.333416 | − | 0.942780i | \(-0.608201\pi\) | ||||
−0.333416 | + | 0.942780i | \(0.608201\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 20.9193 | 0.671331 | 0.335665 | − | 0.941981i | \(-0.391039\pi\) | ||||
0.335665 | + | 0.941981i | \(0.391039\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 20.4589 | 0.655881 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −2.89158 | −0.0925098 | −0.0462549 | − | 0.998930i | \(-0.514729\pi\) | ||||
−0.0462549 | + | 0.998930i | \(0.514729\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 18.9193 | 0.604662 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −6.30037 | −0.200951 | −0.100475 | − | 0.994940i | \(-0.532036\pi\) | ||||
−0.100475 | + | 0.994940i | \(0.532036\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −16.7310 | −0.532016 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −32.0000 | −1.01651 | −0.508257 | − | 0.861206i | \(-0.669710\pi\) | ||||
−0.508257 | + | 0.861206i | \(0.669710\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −9.57927 | −0.303378 | −0.151689 | − | 0.988428i | \(-0.548471\pi\) | ||||
−0.151689 | + | 0.988428i | \(0.548471\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))