Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [6026,2,Mod(1,6026)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(6026, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([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("6026.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 6026 = 2 \cdot 23 \cdot 131 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6026.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: | \(48.1178522580\) |
Analytic rank: | \(1\) |
Dimension: | \(21\) |
Twist minimal: | yes |
Fricke sign: | \(1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.6 | ||
Character | \(\chi\) | \(=\) | 6026.1 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000 | 0.707107 | ||||||||
\(3\) | −1.31043 | −0.756578 | −0.378289 | − | 0.925688i | \(-0.623487\pi\) | ||||
−0.378289 | + | 0.925688i | \(0.623487\pi\) | |||||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | −3.45176 | −1.54367 | −0.771837 | − | 0.635821i | \(-0.780662\pi\) | ||||
−0.771837 | + | 0.635821i | \(0.780662\pi\) | |||||||
\(6\) | −1.31043 | −0.534981 | ||||||||
\(7\) | −4.90131 | −1.85252 | −0.926261 | − | 0.376883i | \(-0.876996\pi\) | ||||
−0.926261 | + | 0.376883i | \(0.876996\pi\) | |||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | −1.28277 | −0.427590 | ||||||||
\(10\) | −3.45176 | −1.09154 | ||||||||
\(11\) | 4.94848 | 1.49202 | 0.746012 | − | 0.665933i | \(-0.231966\pi\) | ||||
0.746012 | + | 0.665933i | \(0.231966\pi\) | |||||||
\(12\) | −1.31043 | −0.378289 | ||||||||
\(13\) | 2.49647 | 0.692395 | 0.346197 | − | 0.938162i | \(-0.387473\pi\) | ||||
0.346197 | + | 0.938162i | \(0.387473\pi\) | |||||||
\(14\) | −4.90131 | −1.30993 | ||||||||
\(15\) | 4.52329 | 1.16791 | ||||||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 0.593016 | 0.143827 | 0.0719137 | − | 0.997411i | \(-0.477089\pi\) | ||||
0.0719137 | + | 0.997411i | \(0.477089\pi\) | |||||||
\(18\) | −1.28277 | −0.302352 | ||||||||
\(19\) | −1.79083 | −0.410845 | −0.205423 | − | 0.978673i | \(-0.565857\pi\) | ||||
−0.205423 | + | 0.978673i | \(0.565857\pi\) | |||||||
\(20\) | −3.45176 | −0.771837 | ||||||||
\(21\) | 6.42283 | 1.40158 | ||||||||
\(22\) | 4.94848 | 1.05502 | ||||||||
\(23\) | −1.00000 | −0.208514 | ||||||||
\(24\) | −1.31043 | −0.267491 | ||||||||
\(25\) | 6.91463 | 1.38293 | ||||||||
\(26\) | 2.49647 | 0.489597 | ||||||||
\(27\) | 5.61228 | 1.08008 | ||||||||
\(28\) | −4.90131 | −0.926261 | ||||||||
\(29\) | 1.30090 | 0.241570 | 0.120785 | − | 0.992679i | \(-0.461459\pi\) | ||||
0.120785 | + | 0.992679i | \(0.461459\pi\) | |||||||
\(30\) | 4.52329 | 0.825836 | ||||||||
\(31\) | 2.94314 | 0.528604 | 0.264302 | − | 0.964440i | \(-0.414858\pi\) | ||||
0.264302 | + | 0.964440i | \(0.414858\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | −6.48465 | −1.12883 | ||||||||
\(34\) | 0.593016 | 0.101701 | ||||||||
\(35\) | 16.9181 | 2.85969 | ||||||||
\(36\) | −1.28277 | −0.213795 | ||||||||
\(37\) | 0.952399 | 0.156573 | 0.0782867 | − | 0.996931i | \(-0.475055\pi\) | ||||
0.0782867 | + | 0.996931i | \(0.475055\pi\) | |||||||
\(38\) | −1.79083 | −0.290512 | ||||||||
\(39\) | −3.27145 | −0.523851 | ||||||||
\(40\) | −3.45176 | −0.545771 | ||||||||
\(41\) | 1.20314 | 0.187898 | 0.0939492 | − | 0.995577i | \(-0.470051\pi\) | ||||
0.0939492 | + | 0.995577i | \(0.470051\pi\) | |||||||
\(42\) | 6.42283 | 0.991064 | ||||||||
\(43\) | −1.70995 | −0.260766 | −0.130383 | − | 0.991464i | \(-0.541621\pi\) | ||||
−0.130383 | + | 0.991464i | \(0.541621\pi\) | |||||||
\(44\) | 4.94848 | 0.746012 | ||||||||
\(45\) | 4.42781 | 0.660060 | ||||||||
\(46\) | −1.00000 | −0.147442 | ||||||||
\(47\) | 3.32071 | 0.484376 | 0.242188 | − | 0.970229i | \(-0.422135\pi\) | ||||
0.242188 | + | 0.970229i | \(0.422135\pi\) | |||||||
\(48\) | −1.31043 | −0.189144 | ||||||||
\(49\) | 17.0229 | 2.43184 | ||||||||
\(50\) | 6.91463 | 0.977877 | ||||||||
\(51\) | −0.777106 | −0.108817 | ||||||||
\(52\) | 2.49647 | 0.346197 | ||||||||
\(53\) | 0.423826 | 0.0582170 | 0.0291085 | − | 0.999576i | \(-0.490733\pi\) | ||||
0.0291085 | + | 0.999576i | \(0.490733\pi\) | |||||||
\(54\) | 5.61228 | 0.763734 | ||||||||
\(55\) | −17.0810 | −2.30320 | ||||||||
\(56\) | −4.90131 | −0.654965 | ||||||||
\(57\) | 2.34676 | 0.310836 | ||||||||
\(58\) | 1.30090 | 0.170816 | ||||||||
\(59\) | 9.38527 | 1.22186 | 0.610929 | − | 0.791685i | \(-0.290796\pi\) | ||||
0.610929 | + | 0.791685i | \(0.290796\pi\) | |||||||
\(60\) | 4.52329 | 0.583954 | ||||||||
\(61\) | −6.59544 | −0.844460 | −0.422230 | − | 0.906489i | \(-0.638753\pi\) | ||||
−0.422230 | + | 0.906489i | \(0.638753\pi\) | |||||||
\(62\) | 2.94314 | 0.373779 | ||||||||
\(63\) | 6.28726 | 0.792120 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −8.61719 | −1.06883 | ||||||||
\(66\) | −6.48465 | −0.798205 | ||||||||
\(67\) | −1.84298 | −0.225156 | −0.112578 | − | 0.993643i | \(-0.535911\pi\) | ||||
−0.112578 | + | 0.993643i | \(0.535911\pi\) | |||||||
\(68\) | 0.593016 | 0.0719137 | ||||||||
\(69\) | 1.31043 | 0.157757 | ||||||||
\(70\) | 16.9181 | 2.02210 | ||||||||
\(71\) | −9.81033 | −1.16427 | −0.582136 | − | 0.813091i | \(-0.697783\pi\) | ||||
−0.582136 | + | 0.813091i | \(0.697783\pi\) | |||||||
\(72\) | −1.28277 | −0.151176 | ||||||||
\(73\) | −3.83908 | −0.449330 | −0.224665 | − | 0.974436i | \(-0.572129\pi\) | ||||
−0.224665 | + | 0.974436i | \(0.572129\pi\) | |||||||
\(74\) | 0.952399 | 0.110714 | ||||||||
\(75\) | −9.06115 | −1.04629 | ||||||||
\(76\) | −1.79083 | −0.205423 | ||||||||
\(77\) | −24.2541 | −2.76401 | ||||||||
\(78\) | −3.27145 | −0.370418 | ||||||||
\(79\) | −7.96524 | −0.896160 | −0.448080 | − | 0.893994i | \(-0.647892\pi\) | ||||
−0.448080 | + | 0.893994i | \(0.647892\pi\) | |||||||
\(80\) | −3.45176 | −0.385918 | ||||||||
\(81\) | −3.50619 | −0.389576 | ||||||||
\(82\) | 1.20314 | 0.132864 | ||||||||
\(83\) | −8.43352 | −0.925699 | −0.462849 | − | 0.886437i | \(-0.653173\pi\) | ||||
−0.462849 | + | 0.886437i | \(0.653173\pi\) | |||||||
\(84\) | 6.42283 | 0.700788 | ||||||||
\(85\) | −2.04695 | −0.222023 | ||||||||
\(86\) | −1.70995 | −0.184389 | ||||||||
\(87\) | −1.70474 | −0.182767 | ||||||||
\(88\) | 4.94848 | 0.527510 | ||||||||
\(89\) | −7.28886 | −0.772618 | −0.386309 | − | 0.922370i | \(-0.626250\pi\) | ||||
−0.386309 | + | 0.922370i | \(0.626250\pi\) | |||||||
\(90\) | 4.42781 | 0.466733 | ||||||||
\(91\) | −12.2360 | −1.28268 | ||||||||
\(92\) | −1.00000 | −0.104257 | ||||||||
\(93\) | −3.85678 | −0.399930 | ||||||||
\(94\) | 3.32071 | 0.342505 | ||||||||
\(95\) | 6.18152 | 0.634211 | ||||||||
\(96\) | −1.31043 | −0.133745 | ||||||||
\(97\) | 14.6055 | 1.48296 | 0.741481 | − | 0.670974i | \(-0.234124\pi\) | ||||
0.741481 | + | 0.670974i | \(0.234124\pi\) | |||||||
\(98\) | 17.0229 | 1.71957 | ||||||||
\(99\) | −6.34777 | −0.637975 | ||||||||
\(100\) | 6.91463 | 0.691463 | ||||||||
\(101\) | −4.20650 | −0.418562 | −0.209281 | − | 0.977856i | \(-0.567112\pi\) | ||||
−0.209281 | + | 0.977856i | \(0.567112\pi\) | |||||||
\(102\) | −0.777106 | −0.0769450 | ||||||||
\(103\) | 19.7304 | 1.94409 | 0.972045 | − | 0.234795i | \(-0.0754420\pi\) | ||||
0.972045 | + | 0.234795i | \(0.0754420\pi\) | |||||||
\(104\) | 2.49647 | 0.244799 | ||||||||
\(105\) | −22.1701 | −2.16358 | ||||||||
\(106\) | 0.423826 | 0.0411657 | ||||||||
\(107\) | −0.287210 | −0.0277656 | −0.0138828 | − | 0.999904i | \(-0.504419\pi\) | ||||
−0.0138828 | + | 0.999904i | \(0.504419\pi\) | |||||||
\(108\) | 5.61228 | 0.540041 | ||||||||
\(109\) | −6.02172 | −0.576776 | −0.288388 | − | 0.957514i | \(-0.593119\pi\) | ||||
−0.288388 | + | 0.957514i | \(0.593119\pi\) | |||||||
\(110\) | −17.0810 | −1.62861 | ||||||||
\(111\) | −1.24805 | −0.118460 | ||||||||
\(112\) | −4.90131 | −0.463130 | ||||||||
\(113\) | 3.26064 | 0.306736 | 0.153368 | − | 0.988169i | \(-0.450988\pi\) | ||||
0.153368 | + | 0.988169i | \(0.450988\pi\) | |||||||
\(114\) | 2.34676 | 0.219795 | ||||||||
\(115\) | 3.45176 | 0.321878 | ||||||||
\(116\) | 1.30090 | 0.120785 | ||||||||
\(117\) | −3.20239 | −0.296061 | ||||||||
\(118\) | 9.38527 | 0.863984 | ||||||||
\(119\) | −2.90656 | −0.266444 | ||||||||
\(120\) | 4.52329 | 0.412918 | ||||||||
\(121\) | 13.4875 | 1.22614 | ||||||||
\(122\) | −6.59544 | −0.597123 | ||||||||
\(123\) | −1.57663 | −0.142160 | ||||||||
\(124\) | 2.94314 | 0.264302 | ||||||||
\(125\) | −6.60885 | −0.591113 | ||||||||
\(126\) | 6.28726 | 0.560114 | ||||||||
\(127\) | −5.97251 | −0.529975 | −0.264987 | − | 0.964252i | \(-0.585368\pi\) | ||||
−0.264987 | + | 0.964252i | \(0.585368\pi\) | |||||||
\(128\) | 1.00000 | 0.0883883 | ||||||||
\(129\) | 2.24078 | 0.197289 | ||||||||
\(130\) | −8.61719 | −0.755778 | ||||||||
\(131\) | 1.00000 | 0.0873704 | ||||||||
\(132\) | −6.48465 | −0.564416 | ||||||||
\(133\) | 8.77743 | 0.761100 | ||||||||
\(134\) | −1.84298 | −0.159209 | ||||||||
\(135\) | −19.3722 | −1.66729 | ||||||||
\(136\) | 0.593016 | 0.0508507 | ||||||||
\(137\) | −11.1566 | −0.953171 | −0.476585 | − | 0.879128i | \(-0.658126\pi\) | ||||
−0.476585 | + | 0.879128i | \(0.658126\pi\) | |||||||
\(138\) | 1.31043 | 0.111551 | ||||||||
\(139\) | 16.1131 | 1.36669 | 0.683347 | − | 0.730093i | \(-0.260524\pi\) | ||||
0.683347 | + | 0.730093i | \(0.260524\pi\) | |||||||
\(140\) | 16.9181 | 1.42984 | ||||||||
\(141\) | −4.35156 | −0.366468 | ||||||||
\(142\) | −9.81033 | −0.823265 | ||||||||
\(143\) | 12.3537 | 1.03307 | ||||||||
\(144\) | −1.28277 | −0.106898 | ||||||||
\(145\) | −4.49038 | −0.372906 | ||||||||
\(146\) | −3.83908 | −0.317724 | ||||||||
\(147\) | −22.3073 | −1.83987 | ||||||||
\(148\) | 0.952399 | 0.0782867 | ||||||||
\(149\) | −22.2413 | −1.82208 | −0.911039 | − | 0.412321i | \(-0.864718\pi\) | ||||
−0.911039 | + | 0.412321i | \(0.864718\pi\) | |||||||
\(150\) | −9.06115 | −0.739840 | ||||||||
\(151\) | −12.2866 | −0.999872 | −0.499936 | − | 0.866062i | \(-0.666643\pi\) | ||||
−0.499936 | + | 0.866062i | \(0.666643\pi\) | |||||||
\(152\) | −1.79083 | −0.145256 | ||||||||
\(153\) | −0.760704 | −0.0614992 | ||||||||
\(154\) | −24.2541 | −1.95445 | ||||||||
\(155\) | −10.1590 | −0.815991 | ||||||||
\(156\) | −3.27145 | −0.261925 | ||||||||
\(157\) | 11.1869 | 0.892815 | 0.446408 | − | 0.894830i | \(-0.352703\pi\) | ||||
0.446408 | + | 0.894830i | \(0.352703\pi\) | |||||||
\(158\) | −7.96524 | −0.633681 | ||||||||
\(159\) | −0.555395 | −0.0440457 | ||||||||
\(160\) | −3.45176 | −0.272885 | ||||||||
\(161\) | 4.90131 | 0.386277 | ||||||||
\(162\) | −3.50619 | −0.275472 | ||||||||
\(163\) | −13.8524 | −1.08501 | −0.542503 | − | 0.840054i | \(-0.682523\pi\) | ||||
−0.542503 | + | 0.840054i | \(0.682523\pi\) | |||||||
\(164\) | 1.20314 | 0.0939492 | ||||||||
\(165\) | 22.3834 | 1.74255 | ||||||||
\(166\) | −8.43352 | −0.654568 | ||||||||
\(167\) | 20.4886 | 1.58546 | 0.792728 | − | 0.609575i | \(-0.208660\pi\) | ||||
0.792728 | + | 0.609575i | \(0.208660\pi\) | |||||||
\(168\) | 6.42283 | 0.495532 | ||||||||
\(169\) | −6.76766 | −0.520589 | ||||||||
\(170\) | −2.04695 | −0.156994 | ||||||||
\(171\) | 2.29723 | 0.175673 | ||||||||
\(172\) | −1.70995 | −0.130383 | ||||||||
\(173\) | −23.0727 | −1.75419 | −0.877094 | − | 0.480318i | \(-0.840521\pi\) | ||||
−0.877094 | + | 0.480318i | \(0.840521\pi\) | |||||||
\(174\) | −1.70474 | −0.129236 | ||||||||
\(175\) | −33.8908 | −2.56190 | ||||||||
\(176\) | 4.94848 | 0.373006 | ||||||||
\(177\) | −12.2987 | −0.924430 | ||||||||
\(178\) | −7.28886 | −0.546323 | ||||||||
\(179\) | −16.8870 | −1.26219 | −0.631095 | − | 0.775706i | \(-0.717394\pi\) | ||||
−0.631095 | + | 0.775706i | \(0.717394\pi\) | |||||||
\(180\) | 4.42781 | 0.330030 | ||||||||
\(181\) | 9.20541 | 0.684232 | 0.342116 | − | 0.939658i | \(-0.388856\pi\) | ||||
0.342116 | + | 0.939658i | \(0.388856\pi\) | |||||||
\(182\) | −12.2360 | −0.906989 | ||||||||
\(183\) | 8.64287 | 0.638900 | ||||||||
\(184\) | −1.00000 | −0.0737210 | ||||||||
\(185\) | −3.28745 | −0.241698 | ||||||||
\(186\) | −3.85678 | −0.282793 | ||||||||
\(187\) | 2.93453 | 0.214594 | ||||||||
\(188\) | 3.32071 | 0.242188 | ||||||||
\(189\) | −27.5075 | −2.00088 | ||||||||
\(190\) | 6.18152 | 0.448455 | ||||||||
\(191\) | −22.3547 | −1.61753 | −0.808765 | − | 0.588131i | \(-0.799864\pi\) | ||||
−0.808765 | + | 0.588131i | \(0.799864\pi\) | |||||||
\(192\) | −1.31043 | −0.0945722 | ||||||||
\(193\) | 10.8674 | 0.782251 | 0.391125 | − | 0.920337i | \(-0.372086\pi\) | ||||
0.391125 | + | 0.920337i | \(0.372086\pi\) | |||||||
\(194\) | 14.6055 | 1.04861 | ||||||||
\(195\) | 11.2922 | 0.808654 | ||||||||
\(196\) | 17.0229 | 1.21592 | ||||||||
\(197\) | −8.37225 | −0.596498 | −0.298249 | − | 0.954488i | \(-0.596403\pi\) | ||||
−0.298249 | + | 0.954488i | \(0.596403\pi\) | |||||||
\(198\) | −6.34777 | −0.451116 | ||||||||
\(199\) | −21.0862 | −1.49476 | −0.747379 | − | 0.664398i | \(-0.768688\pi\) | ||||
−0.747379 | + | 0.664398i | \(0.768688\pi\) | |||||||
\(200\) | 6.91463 | 0.488938 | ||||||||
\(201\) | 2.41510 | 0.170348 | ||||||||
\(202\) | −4.20650 | −0.295968 | ||||||||
\(203\) | −6.37610 | −0.447515 | ||||||||
\(204\) | −0.777106 | −0.0544083 | ||||||||
\(205\) | −4.15294 | −0.290054 | ||||||||
\(206\) | 19.7304 | 1.37468 | ||||||||
\(207\) | 1.28277 | 0.0891587 | ||||||||
\(208\) | 2.49647 | 0.173099 | ||||||||
\(209\) | −8.86191 | −0.612991 | ||||||||
\(210\) | −22.1701 | −1.52988 | ||||||||
\(211\) | 11.6134 | 0.799499 | 0.399749 | − | 0.916624i | \(-0.369097\pi\) | ||||
0.399749 | + | 0.916624i | \(0.369097\pi\) | |||||||
\(212\) | 0.423826 | 0.0291085 | ||||||||
\(213\) | 12.8558 | 0.880862 | ||||||||
\(214\) | −0.287210 | −0.0196333 | ||||||||
\(215\) | 5.90235 | 0.402537 | ||||||||
\(216\) | 5.61228 | 0.381867 | ||||||||
\(217\) | −14.4253 | −0.979250 | ||||||||
\(218\) | −6.02172 | −0.407842 | ||||||||
\(219\) | 5.03085 | 0.339953 | ||||||||
\(220\) | −17.0810 | −1.15160 | ||||||||
\(221\) | 1.48044 | 0.0995854 | ||||||||
\(222\) | −1.24805 | −0.0837638 | ||||||||
\(223\) | −5.30447 | −0.355213 | −0.177607 | − | 0.984102i | \(-0.556835\pi\) | ||||
−0.177607 | + | 0.984102i | \(0.556835\pi\) | |||||||
\(224\) | −4.90131 | −0.327483 | ||||||||
\(225\) | −8.86989 | −0.591326 | ||||||||
\(226\) | 3.26064 | 0.216895 | ||||||||
\(227\) | 8.22379 | 0.545832 | 0.272916 | − | 0.962038i | \(-0.412012\pi\) | ||||
0.272916 | + | 0.962038i | \(0.412012\pi\) | |||||||
\(228\) | 2.34676 | 0.155418 | ||||||||
\(229\) | −27.6764 | −1.82891 | −0.914453 | − | 0.404691i | \(-0.867379\pi\) | ||||
−0.914453 | + | 0.404691i | \(0.867379\pi\) | |||||||
\(230\) | 3.45176 | 0.227602 | ||||||||
\(231\) | 31.7833 | 2.09119 | ||||||||
\(232\) | 1.30090 | 0.0854080 | ||||||||
\(233\) | 15.4503 | 1.01218 | 0.506092 | − | 0.862479i | \(-0.331090\pi\) | ||||
0.506092 | + | 0.862479i | \(0.331090\pi\) | |||||||
\(234\) | −3.20239 | −0.209347 | ||||||||
\(235\) | −11.4623 | −0.747717 | ||||||||
\(236\) | 9.38527 | 0.610929 | ||||||||
\(237\) | 10.4379 | 0.678014 | ||||||||
\(238\) | −2.90656 | −0.188404 | ||||||||
\(239\) | 3.46983 | 0.224444 | 0.112222 | − | 0.993683i | \(-0.464203\pi\) | ||||
0.112222 | + | 0.993683i | \(0.464203\pi\) | |||||||
\(240\) | 4.52329 | 0.291977 | ||||||||
\(241\) | 8.42022 | 0.542394 | 0.271197 | − | 0.962524i | \(-0.412580\pi\) | ||||
0.271197 | + | 0.962524i | \(0.412580\pi\) | |||||||
\(242\) | 13.4875 | 0.867009 | ||||||||
\(243\) | −12.2422 | −0.785338 | ||||||||
\(244\) | −6.59544 | −0.422230 | ||||||||
\(245\) | −58.7588 | −3.75396 | ||||||||
\(246\) | −1.57663 | −0.100522 | ||||||||
\(247\) | −4.47075 | −0.284467 | ||||||||
\(248\) | 2.94314 | 0.186890 | ||||||||
\(249\) | 11.0515 | 0.700363 | ||||||||
\(250\) | −6.60885 | −0.417980 | ||||||||
\(251\) | −15.8996 | −1.00358 | −0.501788 | − | 0.864991i | \(-0.667324\pi\) | ||||
−0.501788 | + | 0.864991i | \(0.667324\pi\) | |||||||
\(252\) | 6.28726 | 0.396060 | ||||||||
\(253\) | −4.94848 | −0.311108 | ||||||||
\(254\) | −5.97251 | −0.374749 | ||||||||
\(255\) | 2.68238 | 0.167977 | ||||||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 7.19665 | 0.448915 | 0.224457 | − | 0.974484i | \(-0.427939\pi\) | ||||
0.224457 | + | 0.974484i | \(0.427939\pi\) | |||||||
\(258\) | 2.24078 | 0.139505 | ||||||||
\(259\) | −4.66800 | −0.290056 | ||||||||
\(260\) | −8.61719 | −0.534416 | ||||||||
\(261\) | −1.66875 | −0.103293 | ||||||||
\(262\) | 1.00000 | 0.0617802 | ||||||||
\(263\) | 12.2294 | 0.754099 | 0.377050 | − | 0.926193i | \(-0.376939\pi\) | ||||
0.377050 | + | 0.926193i | \(0.376939\pi\) | |||||||
\(264\) | −6.48465 | −0.399102 | ||||||||
\(265\) | −1.46295 | −0.0898681 | ||||||||
\(266\) | 8.77743 | 0.538179 | ||||||||
\(267\) | 9.55155 | 0.584545 | ||||||||
\(268\) | −1.84298 | −0.112578 | ||||||||
\(269\) | 4.07445 | 0.248424 | 0.124212 | − | 0.992256i | \(-0.460360\pi\) | ||||
0.124212 | + | 0.992256i | \(0.460360\pi\) | |||||||
\(270\) | −19.3722 | −1.17896 | ||||||||
\(271\) | −10.8342 | −0.658130 | −0.329065 | − | 0.944307i | \(-0.606734\pi\) | ||||
−0.329065 | + | 0.944307i | \(0.606734\pi\) | |||||||
\(272\) | 0.593016 | 0.0359569 | ||||||||
\(273\) | 16.0344 | 0.970445 | ||||||||
\(274\) | −11.1566 | −0.673993 | ||||||||
\(275\) | 34.2169 | 2.06336 | ||||||||
\(276\) | 1.31043 | 0.0788787 | ||||||||
\(277\) | 10.0518 | 0.603954 | 0.301977 | − | 0.953315i | \(-0.402353\pi\) | ||||
0.301977 | + | 0.953315i | \(0.402353\pi\) | |||||||
\(278\) | 16.1131 | 0.966399 | ||||||||
\(279\) | −3.77537 | −0.226026 | ||||||||
\(280\) | 16.9181 | 1.01105 | ||||||||
\(281\) | −3.01978 | −0.180145 | −0.0900726 | − | 0.995935i | \(-0.528710\pi\) | ||||
−0.0900726 | + | 0.995935i | \(0.528710\pi\) | |||||||
\(282\) | −4.35156 | −0.259132 | ||||||||
\(283\) | −5.32077 | −0.316287 | −0.158143 | − | 0.987416i | \(-0.550551\pi\) | ||||
−0.158143 | + | 0.987416i | \(0.550551\pi\) | |||||||
\(284\) | −9.81033 | −0.582136 | ||||||||
\(285\) | −8.10046 | −0.479830 | ||||||||
\(286\) | 12.3537 | 0.730491 | ||||||||
\(287\) | −5.89695 | −0.348086 | ||||||||
\(288\) | −1.28277 | −0.0755880 | ||||||||
\(289\) | −16.6483 | −0.979314 | ||||||||
\(290\) | −4.49038 | −0.263684 | ||||||||
\(291\) | −19.1395 | −1.12198 | ||||||||
\(292\) | −3.83908 | −0.224665 | ||||||||
\(293\) | −17.2528 | −1.00792 | −0.503959 | − | 0.863728i | \(-0.668124\pi\) | ||||
−0.503959 | + | 0.863728i | \(0.668124\pi\) | |||||||
\(294\) | −22.3073 | −1.30099 | ||||||||
\(295\) | −32.3957 | −1.88615 | ||||||||
\(296\) | 0.952399 | 0.0553571 | ||||||||
\(297\) | 27.7723 | 1.61151 | ||||||||
\(298\) | −22.2413 | −1.28840 | ||||||||
\(299\) | −2.49647 | −0.144374 | ||||||||
\(300\) | −9.06115 | −0.523146 | ||||||||
\(301\) | 8.38102 | 0.483074 | ||||||||
\(302\) | −12.2866 | −0.707016 | ||||||||
\(303\) | 5.51233 | 0.316675 | ||||||||
\(304\) | −1.79083 | −0.102711 | ||||||||
\(305\) | 22.7659 | 1.30357 | ||||||||
\(306\) | −0.760704 | −0.0434865 | ||||||||
\(307\) | −14.8867 | −0.849632 | −0.424816 | − | 0.905280i | \(-0.639661\pi\) | ||||
−0.424816 | + | 0.905280i | \(0.639661\pi\) | |||||||
\(308\) | −24.2541 | −1.38200 | ||||||||
\(309\) | −25.8553 | −1.47085 | ||||||||
\(310\) | −10.1590 | −0.576993 | ||||||||
\(311\) | 11.9385 | 0.676971 | 0.338485 | − | 0.940972i | \(-0.390085\pi\) | ||||
0.338485 | + | 0.940972i | \(0.390085\pi\) | |||||||
\(312\) | −3.27145 | −0.185209 | ||||||||
\(313\) | 11.2800 | 0.637583 | 0.318791 | − | 0.947825i | \(-0.396723\pi\) | ||||
0.318791 | + | 0.947825i | \(0.396723\pi\) | |||||||
\(314\) | 11.1869 | 0.631316 | ||||||||
\(315\) | −21.7021 | −1.22277 | ||||||||
\(316\) | −7.96524 | −0.448080 | ||||||||
\(317\) | 12.7630 | 0.716844 | 0.358422 | − | 0.933560i | \(-0.383315\pi\) | ||||
0.358422 | + | 0.933560i | \(0.383315\pi\) | |||||||
\(318\) | −0.555395 | −0.0311450 | ||||||||
\(319\) | 6.43747 | 0.360429 | ||||||||
\(320\) | −3.45176 | −0.192959 | ||||||||
\(321\) | 0.376369 | 0.0210069 | ||||||||
\(322\) | 4.90131 | 0.273139 | ||||||||
\(323\) | −1.06199 | −0.0590909 | ||||||||
\(324\) | −3.50619 | −0.194788 | ||||||||
\(325\) | 17.2621 | 0.957531 | ||||||||
\(326\) | −13.8524 | −0.767215 | ||||||||
\(327\) | 7.89104 | 0.436376 | ||||||||
\(328\) | 1.20314 | 0.0664321 | ||||||||
\(329\) | −16.2758 | −0.897316 | ||||||||
\(330\) | 22.3834 | 1.23217 | ||||||||
\(331\) | −3.76790 | −0.207103 | −0.103551 | − | 0.994624i | \(-0.533021\pi\) | ||||
−0.103551 | + | 0.994624i | \(0.533021\pi\) | |||||||
\(332\) | −8.43352 | −0.462849 | ||||||||
\(333\) | −1.22171 | −0.0669493 | ||||||||
\(334\) | 20.4886 | 1.12109 | ||||||||
\(335\) | 6.36152 | 0.347567 | ||||||||
\(336\) | 6.42283 | 0.350394 | ||||||||
\(337\) | 2.83747 | 0.154567 | 0.0772835 | − | 0.997009i | \(-0.475375\pi\) | ||||
0.0772835 | + | 0.997009i | \(0.475375\pi\) | |||||||
\(338\) | −6.76766 | −0.368112 | ||||||||
\(339\) | −4.27285 | −0.232069 | ||||||||
\(340\) | −2.04695 | −0.111011 | ||||||||
\(341\) | 14.5641 | 0.788689 | ||||||||
\(342\) | 2.29723 | 0.124220 | ||||||||
\(343\) | −49.1252 | −2.65251 | ||||||||
\(344\) | −1.70995 | −0.0921946 | ||||||||
\(345\) | −4.52329 | −0.243526 | ||||||||
\(346\) | −23.0727 | −1.24040 | ||||||||
\(347\) | 21.9432 | 1.17797 | 0.588985 | − | 0.808144i | \(-0.299528\pi\) | ||||
0.588985 | + | 0.808144i | \(0.299528\pi\) | |||||||
\(348\) | −1.70474 | −0.0913834 | ||||||||
\(349\) | 25.6240 | 1.37162 | 0.685811 | − | 0.727780i | \(-0.259448\pi\) | ||||
0.685811 | + | 0.727780i | \(0.259448\pi\) | |||||||
\(350\) | −33.8908 | −1.81154 | ||||||||
\(351\) | 14.0109 | 0.747844 | ||||||||
\(352\) | 4.94848 | 0.263755 | ||||||||
\(353\) | 10.4939 | 0.558533 | 0.279266 | − | 0.960214i | \(-0.409909\pi\) | ||||
0.279266 | + | 0.960214i | \(0.409909\pi\) | |||||||
\(354\) | −12.2987 | −0.653671 | ||||||||
\(355\) | 33.8629 | 1.79726 | ||||||||
\(356\) | −7.28886 | −0.386309 | ||||||||
\(357\) | 3.80884 | 0.201585 | ||||||||
\(358\) | −16.8870 | −0.892503 | ||||||||
\(359\) | −23.9118 | −1.26201 | −0.631007 | − | 0.775777i | \(-0.717358\pi\) | ||||
−0.631007 | + | 0.775777i | \(0.717358\pi\) | |||||||
\(360\) | 4.42781 | 0.233366 | ||||||||
\(361\) | −15.7929 | −0.831206 | ||||||||
\(362\) | 9.20541 | 0.483825 | ||||||||
\(363\) | −17.6744 | −0.927667 | ||||||||
\(364\) | −12.2360 | −0.641338 | ||||||||
\(365\) | 13.2516 | 0.693619 | ||||||||
\(366\) | 8.64287 | 0.451770 | ||||||||
\(367\) | 21.6754 | 1.13145 | 0.565724 | − | 0.824595i | \(-0.308597\pi\) | ||||
0.565724 | + | 0.824595i | \(0.308597\pi\) | |||||||
\(368\) | −1.00000 | −0.0521286 | ||||||||
\(369\) | −1.54335 | −0.0803435 | ||||||||
\(370\) | −3.28745 | −0.170906 | ||||||||
\(371\) | −2.07731 | −0.107848 | ||||||||
\(372\) | −3.85678 | −0.199965 | ||||||||
\(373\) | −30.3084 | −1.56931 | −0.784655 | − | 0.619933i | \(-0.787160\pi\) | ||||
−0.784655 | + | 0.619933i | \(0.787160\pi\) | |||||||
\(374\) | 2.93453 | 0.151741 | ||||||||
\(375\) | 8.66044 | 0.447223 | ||||||||
\(376\) | 3.32071 | 0.171253 | ||||||||
\(377\) | 3.24764 | 0.167262 | ||||||||
\(378\) | −27.5075 | −1.41483 | ||||||||
\(379\) | 5.38087 | 0.276397 | 0.138198 | − | 0.990405i | \(-0.455869\pi\) | ||||
0.138198 | + | 0.990405i | \(0.455869\pi\) | |||||||
\(380\) | 6.18152 | 0.317105 | ||||||||
\(381\) | 7.82656 | 0.400967 | ||||||||
\(382\) | −22.3547 | −1.14377 | ||||||||
\(383\) | 25.9080 | 1.32384 | 0.661919 | − | 0.749576i | \(-0.269742\pi\) | ||||
0.661919 | + | 0.749576i | \(0.269742\pi\) | |||||||
\(384\) | −1.31043 | −0.0668726 | ||||||||
\(385\) | 83.7191 | 4.26672 | ||||||||
\(386\) | 10.8674 | 0.553135 | ||||||||
\(387\) | 2.19348 | 0.111501 | ||||||||
\(388\) | 14.6055 | 0.741481 | ||||||||
\(389\) | −16.5442 | −0.838824 | −0.419412 | − | 0.907796i | \(-0.637764\pi\) | ||||
−0.419412 | + | 0.907796i | \(0.637764\pi\) | |||||||
\(390\) | 11.2922 | 0.571805 | ||||||||
\(391\) | −0.593016 | −0.0299901 | ||||||||
\(392\) | 17.0229 | 0.859784 | ||||||||
\(393\) | −1.31043 | −0.0661025 | ||||||||
\(394\) | −8.37225 | −0.421788 | ||||||||
\(395\) | 27.4941 | 1.38338 | ||||||||
\(396\) | −6.34777 | −0.318987 | ||||||||
\(397\) | −1.48149 | −0.0743539 | −0.0371770 | − | 0.999309i | \(-0.511837\pi\) | ||||
−0.0371770 | + | 0.999309i | \(0.511837\pi\) | |||||||
\(398\) | −21.0862 | −1.05695 | ||||||||
\(399\) | −11.5022 | −0.575831 | ||||||||
\(400\) | 6.91463 | 0.345732 | ||||||||
\(401\) | 14.5304 | 0.725616 | 0.362808 | − | 0.931864i | \(-0.381818\pi\) | ||||
0.362808 | + | 0.931864i | \(0.381818\pi\) | |||||||
\(402\) | 2.41510 | 0.120454 | ||||||||
\(403\) | 7.34745 | 0.366003 | ||||||||
\(404\) | −4.20650 | −0.209281 | ||||||||
\(405\) | 12.1025 | 0.601378 | ||||||||
\(406\) | −6.37610 | −0.316441 | ||||||||
\(407\) | 4.71293 | 0.233611 | ||||||||
\(408\) | −0.777106 | −0.0384725 | ||||||||
\(409\) | −35.4460 | −1.75269 | −0.876346 | − | 0.481682i | \(-0.840026\pi\) | ||||
−0.876346 | + | 0.481682i | \(0.840026\pi\) | |||||||
\(410\) | −4.15294 | −0.205099 | ||||||||
\(411\) | 14.6199 | 0.721148 | ||||||||
\(412\) | 19.7304 | 0.972045 | ||||||||
\(413\) | −46.0001 | −2.26352 | ||||||||
\(414\) | 1.28277 | 0.0630447 | ||||||||
\(415\) | 29.1105 | 1.42898 | ||||||||
\(416\) | 2.49647 | 0.122399 | ||||||||
\(417\) | −21.1151 | −1.03401 | ||||||||
\(418\) | −8.86191 | −0.433450 | ||||||||
\(419\) | 3.75478 | 0.183433 | 0.0917166 | − | 0.995785i | \(-0.470765\pi\) | ||||
0.0917166 | + | 0.995785i | \(0.470765\pi\) | |||||||
\(420\) | −22.1701 | −1.08179 | ||||||||
\(421\) | −19.8396 | −0.966925 | −0.483462 | − | 0.875365i | \(-0.660621\pi\) | ||||
−0.483462 | + | 0.875365i | \(0.660621\pi\) | |||||||
\(422\) | 11.6134 | 0.565331 | ||||||||
\(423\) | −4.25971 | −0.207114 | ||||||||
\(424\) | 0.423826 | 0.0205828 | ||||||||
\(425\) | 4.10049 | 0.198903 | ||||||||
\(426\) | 12.8558 | 0.622864 | ||||||||
\(427\) | 32.3263 | 1.56438 | ||||||||
\(428\) | −0.287210 | −0.0138828 | ||||||||
\(429\) | −16.1887 | −0.781598 | ||||||||
\(430\) | 5.90235 | 0.284637 | ||||||||
\(431\) | 17.6804 | 0.851636 | 0.425818 | − | 0.904809i | \(-0.359986\pi\) | ||||
0.425818 | + | 0.904809i | \(0.359986\pi\) | |||||||
\(432\) | 5.61228 | 0.270021 | ||||||||
\(433\) | 0.156994 | 0.00754466 | 0.00377233 | − | 0.999993i | \(-0.498799\pi\) | ||||
0.00377233 | + | 0.999993i | \(0.498799\pi\) | |||||||
\(434\) | −14.4253 | −0.692434 | ||||||||
\(435\) | 5.88433 | 0.282132 | ||||||||
\(436\) | −6.02172 | −0.288388 | ||||||||
\(437\) | 1.79083 | 0.0856672 | ||||||||
\(438\) | 5.03085 | 0.240383 | ||||||||
\(439\) | −9.59119 | −0.457762 | −0.228881 | − | 0.973454i | \(-0.573507\pi\) | ||||
−0.228881 | + | 0.973454i | \(0.573507\pi\) | |||||||
\(440\) | −17.0810 | −0.814303 | ||||||||
\(441\) | −21.8364 | −1.03983 | ||||||||
\(442\) | 1.48044 | 0.0704175 | ||||||||
\(443\) | 29.6953 | 1.41087 | 0.705433 | − | 0.708776i | \(-0.250752\pi\) | ||||
0.705433 | + | 0.708776i | \(0.250752\pi\) | |||||||
\(444\) | −1.24805 | −0.0592300 | ||||||||
\(445\) | 25.1594 | 1.19267 | ||||||||
\(446\) | −5.30447 | −0.251174 | ||||||||
\(447\) | 29.1457 | 1.37854 | ||||||||
\(448\) | −4.90131 | −0.231565 | ||||||||
\(449\) | −15.1481 | −0.714882 | −0.357441 | − | 0.933936i | \(-0.616351\pi\) | ||||
−0.357441 | + | 0.933936i | \(0.616351\pi\) | |||||||
\(450\) | −8.86989 | −0.418131 | ||||||||
\(451\) | 5.95370 | 0.280349 | ||||||||
\(452\) | 3.26064 | 0.153368 | ||||||||
\(453\) | 16.1008 | 0.756481 | ||||||||
\(454\) | 8.22379 | 0.385962 | ||||||||
\(455\) | 42.2356 | 1.98003 | ||||||||
\(456\) | 2.34676 | 0.109897 | ||||||||
\(457\) | −35.0201 | −1.63817 | −0.819086 | − | 0.573670i | \(-0.805519\pi\) | ||||
−0.819086 | + | 0.573670i | \(0.805519\pi\) | |||||||
\(458\) | −27.6764 | −1.29323 | ||||||||
\(459\) | 3.32817 | 0.155346 | ||||||||
\(460\) | 3.45176 | 0.160939 | ||||||||
\(461\) | 22.6200 | 1.05352 | 0.526759 | − | 0.850015i | \(-0.323407\pi\) | ||||
0.526759 | + | 0.850015i | \(0.323407\pi\) | |||||||
\(462\) | 31.7833 | 1.47869 | ||||||||
\(463\) | 10.4348 | 0.484946 | 0.242473 | − | 0.970158i | \(-0.422041\pi\) | ||||
0.242473 | + | 0.970158i | \(0.422041\pi\) | |||||||
\(464\) | 1.30090 | 0.0603926 | ||||||||
\(465\) | 13.3127 | 0.617361 | ||||||||
\(466\) | 15.4503 | 0.715722 | ||||||||
\(467\) | 38.3231 | 1.77338 | 0.886690 | − | 0.462364i | \(-0.152999\pi\) | ||||
0.886690 | + | 0.462364i | \(0.152999\pi\) | |||||||
\(468\) | −3.20239 | −0.148031 | ||||||||
\(469\) | 9.03302 | 0.417106 | ||||||||
\(470\) | −11.4623 | −0.528716 | ||||||||
\(471\) | −14.6597 | −0.675484 | ||||||||
\(472\) | 9.38527 | 0.431992 | ||||||||
\(473\) | −8.46168 | −0.389069 | ||||||||
\(474\) | 10.4379 | 0.479429 | ||||||||
\(475\) | −12.3830 | −0.568169 | ||||||||
\(476\) | −2.90656 | −0.133222 | ||||||||
\(477\) | −0.543672 | −0.0248930 | ||||||||
\(478\) | 3.46983 | 0.158706 | ||||||||
\(479\) | −4.13937 | −0.189132 | −0.0945662 | − | 0.995519i | \(-0.530146\pi\) | ||||
−0.0945662 | + | 0.995519i | \(0.530146\pi\) | |||||||
\(480\) | 4.52329 | 0.206459 | ||||||||
\(481\) | 2.37763 | 0.108411 | ||||||||
\(482\) | 8.42022 | 0.383531 | ||||||||
\(483\) | −6.42283 | −0.292249 | ||||||||
\(484\) | 13.4875 | 0.613068 | ||||||||
\(485\) | −50.4146 | −2.28921 | ||||||||
\(486\) | −12.2422 | −0.555318 | ||||||||
\(487\) | 5.91980 | 0.268252 | 0.134126 | − | 0.990964i | \(-0.457177\pi\) | ||||
0.134126 | + | 0.990964i | \(0.457177\pi\) | |||||||
\(488\) | −6.59544 | −0.298562 | ||||||||
\(489\) | 18.1527 | 0.820892 | ||||||||
\(490\) | −58.7588 | −2.65445 | ||||||||
\(491\) | −40.9334 | −1.84730 | −0.923650 | − | 0.383237i | \(-0.874809\pi\) | ||||
−0.923650 | + | 0.383237i | \(0.874809\pi\) | |||||||
\(492\) | −1.57663 | −0.0710799 | ||||||||
\(493\) | 0.771452 | 0.0347445 | ||||||||
\(494\) | −4.47075 | −0.201149 | ||||||||
\(495\) | 21.9110 | 0.984825 | ||||||||
\(496\) | 2.94314 | 0.132151 | ||||||||
\(497\) | 48.0835 | 2.15684 | ||||||||
\(498\) | 11.0515 | 0.495232 | ||||||||
\(499\) | −4.81726 | −0.215650 | −0.107825 | − | 0.994170i | \(-0.534389\pi\) | ||||
−0.107825 | + | 0.994170i | \(0.534389\pi\) | |||||||
\(500\) | −6.60885 | −0.295557 | ||||||||
\(501\) | −26.8489 | −1.19952 | ||||||||
\(502\) | −15.8996 | −0.709635 | ||||||||
\(503\) | 5.13742 | 0.229066 | 0.114533 | − | 0.993419i | \(-0.463463\pi\) | ||||
0.114533 | + | 0.993419i | \(0.463463\pi\) | |||||||
\(504\) | 6.28726 | 0.280057 | ||||||||
\(505\) | 14.5198 | 0.646123 | ||||||||
\(506\) | −4.94848 | −0.219987 | ||||||||
\(507\) | 8.86855 | 0.393866 | ||||||||
\(508\) | −5.97251 | −0.264987 | ||||||||
\(509\) | −32.1917 | −1.42687 | −0.713437 | − | 0.700719i | \(-0.752863\pi\) | ||||
−0.713437 | + | 0.700719i | \(0.752863\pi\) | |||||||
\(510\) | 2.68238 | 0.118778 | ||||||||
\(511\) | 18.8165 | 0.832394 | ||||||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −10.0506 | −0.443747 | ||||||||
\(514\) | 7.19665 | 0.317431 | ||||||||
\(515\) | −68.1044 | −3.00104 | ||||||||
\(516\) | 2.24078 | 0.0986447 | ||||||||
\(517\) | 16.4325 | 0.722700 | ||||||||
\(518\) | −4.66800 | −0.205100 | ||||||||
\(519\) | 30.2352 | 1.32718 | ||||||||
\(520\) | −8.61719 | −0.377889 | ||||||||
\(521\) | 17.0519 | 0.747057 | 0.373528 | − | 0.927619i | \(-0.378148\pi\) | ||||
0.373528 | + | 0.927619i | \(0.378148\pi\) | |||||||
\(522\) | −1.66875 | −0.0730393 | ||||||||
\(523\) | 13.6682 | 0.597669 | 0.298835 | − | 0.954305i | \(-0.403402\pi\) | ||||
0.298835 | + | 0.954305i | \(0.403402\pi\) | |||||||
\(524\) | 1.00000 | 0.0436852 | ||||||||
\(525\) | 44.4115 | 1.93828 | ||||||||
\(526\) | 12.2294 | 0.533229 | ||||||||
\(527\) | 1.74533 | 0.0760277 | ||||||||
\(528\) | −6.48465 | −0.282208 | ||||||||
\(529\) | 1.00000 | 0.0434783 | ||||||||
\(530\) | −1.46295 | −0.0635463 | ||||||||
\(531\) | −12.0391 | −0.522455 | ||||||||
\(532\) | 8.77743 | 0.380550 | ||||||||
\(533\) | 3.00359 | 0.130100 | ||||||||
\(534\) | 9.55155 | 0.413336 | ||||||||
\(535\) | 0.991379 | 0.0428611 | ||||||||
\(536\) | −1.84298 | −0.0796047 | ||||||||
\(537\) | 22.1292 | 0.954945 | ||||||||
\(538\) | 4.07445 | 0.175662 | ||||||||
\(539\) | 84.2373 | 3.62836 | ||||||||
\(540\) | −19.3722 | −0.833647 | ||||||||
\(541\) | 22.2262 | 0.955578 | 0.477789 | − | 0.878475i | \(-0.341438\pi\) | ||||
0.477789 | + | 0.878475i | \(0.341438\pi\) | |||||||
\(542\) | −10.8342 | −0.465368 | ||||||||
\(543\) | −12.0630 | −0.517675 | ||||||||
\(544\) | 0.593016 | 0.0254253 | ||||||||
\(545\) | 20.7855 | 0.890353 | ||||||||
\(546\) | 16.0344 | 0.686208 | ||||||||
\(547\) | 18.9703 | 0.811112 | 0.405556 | − | 0.914070i | \(-0.367078\pi\) | ||||
0.405556 | + | 0.914070i | \(0.367078\pi\) | |||||||
\(548\) | −11.1566 | −0.476585 | ||||||||
\(549\) | 8.46044 | 0.361083 | ||||||||
\(550\) | 34.2169 | 1.45902 | ||||||||
\(551\) | −2.32969 | −0.0992481 | ||||||||
\(552\) | 1.31043 | 0.0557756 | ||||||||
\(553\) | 39.0401 | 1.66016 | ||||||||
\(554\) | 10.0518 | 0.427060 | ||||||||
\(555\) | 4.30798 | 0.182863 | ||||||||
\(556\) | 16.1131 | 0.683347 | ||||||||
\(557\) | −1.82598 | −0.0773691 | −0.0386845 | − | 0.999251i | \(-0.512317\pi\) | ||||
−0.0386845 | + | 0.999251i | \(0.512317\pi\) | |||||||
\(558\) | −3.77537 | −0.159824 | ||||||||
\(559\) | −4.26884 | −0.180553 | ||||||||
\(560\) | 16.9181 | 0.714922 | ||||||||
\(561\) | −3.84550 | −0.162357 | ||||||||
\(562\) | −3.01978 | −0.127382 | ||||||||
\(563\) | −22.0226 | −0.928141 | −0.464070 | − | 0.885798i | \(-0.653612\pi\) | ||||
−0.464070 | + | 0.885798i | \(0.653612\pi\) | |||||||
\(564\) | −4.35156 | −0.183234 | ||||||||
\(565\) | −11.2550 | −0.473499 | ||||||||
\(566\) | −5.32077 | −0.223648 | ||||||||
\(567\) | 17.1849 | 0.721699 | ||||||||
\(568\) | −9.81033 | −0.411632 | ||||||||
\(569\) | 16.7467 | 0.702057 | 0.351029 | − | 0.936365i | \(-0.385832\pi\) | ||||
0.351029 | + | 0.936365i | \(0.385832\pi\) | |||||||
\(570\) | −8.10046 | −0.339291 | ||||||||
\(571\) | 22.8993 | 0.958306 | 0.479153 | − | 0.877731i | \(-0.340944\pi\) | ||||
0.479153 | + | 0.877731i | \(0.340944\pi\) | |||||||
\(572\) | 12.3537 | 0.516535 | ||||||||
\(573\) | 29.2943 | 1.22379 | ||||||||
\(574\) | −5.89695 | −0.246134 | ||||||||
\(575\) | −6.91463 | −0.288360 | ||||||||
\(576\) | −1.28277 | −0.0534488 | ||||||||
\(577\) | 21.5531 | 0.897267 | 0.448634 | − | 0.893716i | \(-0.351911\pi\) | ||||
0.448634 | + | 0.893716i | \(0.351911\pi\) | |||||||
\(578\) | −16.6483 | −0.692479 | ||||||||
\(579\) | −14.2409 | −0.591833 | ||||||||
\(580\) | −4.49038 | −0.186453 | ||||||||
\(581\) | 41.3353 | 1.71488 | ||||||||
\(582\) | −19.1395 | −0.793357 | ||||||||
\(583\) | 2.09730 | 0.0868612 | ||||||||
\(584\) | −3.83908 | −0.158862 | ||||||||
\(585\) | 11.0539 | 0.457022 | ||||||||
\(586\) | −17.2528 | −0.712705 | ||||||||
\(587\) | −1.95945 | −0.0808750 | −0.0404375 | − | 0.999182i | \(-0.512875\pi\) | ||||
−0.0404375 | + | 0.999182i | \(0.512875\pi\) | |||||||
\(588\) | −22.3073 | −0.919937 | ||||||||
\(589\) | −5.27067 | −0.217174 | ||||||||
\(590\) | −32.3957 | −1.33371 | ||||||||
\(591\) | 10.9713 | 0.451297 | ||||||||
\(592\) | 0.952399 | 0.0391434 | ||||||||
\(593\) | −11.0941 | −0.455579 | −0.227790 | − | 0.973710i | \(-0.573150\pi\) | ||||
−0.227790 | + | 0.973710i | \(0.573150\pi\) | |||||||
\(594\) | 27.7723 | 1.13951 | ||||||||
\(595\) | 10.0327 | 0.411302 | ||||||||
\(596\) | −22.2413 | −0.911039 | ||||||||
\(597\) | 27.6320 | 1.13090 | ||||||||
\(598\) | −2.49647 | −0.102088 | ||||||||
\(599\) | −10.0001 | −0.408594 | −0.204297 | − | 0.978909i | \(-0.565491\pi\) | ||||
−0.204297 | + | 0.978909i | \(0.565491\pi\) | |||||||
\(600\) | −9.06115 | −0.369920 | ||||||||
\(601\) | 8.40553 | 0.342869 | 0.171434 | − | 0.985196i | \(-0.445160\pi\) | ||||
0.171434 | + | 0.985196i | \(0.445160\pi\) | |||||||
\(602\) | 8.38102 | 0.341585 | ||||||||
\(603\) | 2.36412 | 0.0962745 | ||||||||
\(604\) | −12.2866 | −0.499936 | ||||||||
\(605\) | −46.5555 | −1.89275 | ||||||||
\(606\) | 5.51233 | 0.223923 | ||||||||
\(607\) | −35.2727 | −1.43168 | −0.715838 | − | 0.698267i | \(-0.753955\pi\) | ||||
−0.715838 | + | 0.698267i | \(0.753955\pi\) | |||||||
\(608\) | −1.79083 | −0.0726279 | ||||||||
\(609\) | 8.35544 | 0.338579 | ||||||||
\(610\) | 22.7659 | 0.921763 | ||||||||
\(611\) | 8.29004 | 0.335379 | ||||||||
\(612\) | −0.760704 | −0.0307496 | ||||||||
\(613\) | −31.1599 | −1.25854 | −0.629268 | − | 0.777188i | \(-0.716645\pi\) | ||||
−0.629268 | + | 0.777188i | \(0.716645\pi\) | |||||||
\(614\) | −14.8867 | −0.600780 | ||||||||
\(615\) | 5.44214 | 0.219448 | ||||||||
\(616\) | −24.2541 | −0.977224 | ||||||||
\(617\) | −18.1554 | −0.730909 | −0.365455 | − | 0.930829i | \(-0.619086\pi\) | ||||
−0.365455 | + | 0.930829i | \(0.619086\pi\) | |||||||
\(618\) | −25.8553 | −1.04005 | ||||||||
\(619\) | −23.9300 | −0.961828 | −0.480914 | − | 0.876768i | \(-0.659695\pi\) | ||||
−0.480914 | + | 0.876768i | \(0.659695\pi\) | |||||||
\(620\) | −10.1590 | −0.407996 | ||||||||
\(621\) | −5.61228 | −0.225213 | ||||||||
\(622\) | 11.9385 | 0.478691 | ||||||||
\(623\) | 35.7250 | 1.43129 | ||||||||
\(624\) | −3.27145 | −0.130963 | ||||||||
\(625\) | −11.7610 | −0.470441 | ||||||||
\(626\) | 11.2800 | 0.450839 | ||||||||
\(627\) | 11.6129 | 0.463775 | ||||||||
\(628\) | 11.1869 | 0.446408 | ||||||||
\(629\) | 0.564788 | 0.0225196 | ||||||||
\(630\) | −21.7021 | −0.864632 | ||||||||
\(631\) | 11.7862 | 0.469201 | 0.234601 | − | 0.972092i | \(-0.424622\pi\) | ||||
0.234601 | + | 0.972092i | \(0.424622\pi\) | |||||||
\(632\) | −7.96524 | −0.316840 | ||||||||
\(633\) | −15.2185 | −0.604883 | ||||||||
\(634\) | 12.7630 | 0.506885 | ||||||||
\(635\) | 20.6157 | 0.818107 | ||||||||
\(636\) | −0.555395 | −0.0220229 | ||||||||
\(637\) | 42.4970 | 1.68379 | ||||||||
\(638\) | 6.43747 | 0.254862 | ||||||||
\(639\) | 12.5844 | 0.497831 | ||||||||
\(640\) | −3.45176 | −0.136443 | ||||||||
\(641\) | −15.3250 | −0.605300 | −0.302650 | − | 0.953102i | \(-0.597871\pi\) | ||||
−0.302650 | + | 0.953102i | \(0.597871\pi\) | |||||||
\(642\) | 0.376369 | 0.0148541 | ||||||||
\(643\) | −42.2883 | −1.66769 | −0.833844 | − | 0.552000i | \(-0.813865\pi\) | ||||
−0.833844 | + | 0.552000i | \(0.813865\pi\) | |||||||
\(644\) | 4.90131 | 0.193139 | ||||||||
\(645\) | −7.73462 | −0.304550 | ||||||||
\(646\) | −1.06199 | −0.0417835 | ||||||||
\(647\) | −6.98442 | −0.274586 | −0.137293 | − | 0.990530i | \(-0.543840\pi\) | ||||
−0.137293 | + | 0.990530i | \(0.543840\pi\) | |||||||
\(648\) | −3.50619 | −0.137736 | ||||||||
\(649\) | 46.4428 | 1.82304 | ||||||||
\(650\) | 17.2621 | 0.677077 | ||||||||
\(651\) | 18.9033 | 0.740879 | ||||||||
\(652\) | −13.8524 | −0.542503 | ||||||||
\(653\) | −41.4687 | −1.62280 | −0.811399 | − | 0.584493i | \(-0.801293\pi\) | ||||
−0.811399 | + | 0.584493i | \(0.801293\pi\) | |||||||
\(654\) | 7.89104 | 0.308564 | ||||||||
\(655\) | −3.45176 | −0.134871 | ||||||||
\(656\) | 1.20314 | 0.0469746 | ||||||||
\(657\) | 4.92466 | 0.192129 | ||||||||
\(658\) | −16.2758 | −0.634498 | ||||||||
\(659\) | −27.7424 | −1.08069 | −0.540345 | − | 0.841443i | \(-0.681706\pi\) | ||||
−0.540345 | + | 0.841443i | \(0.681706\pi\) | |||||||
\(660\) | 22.3834 | 0.871274 | ||||||||
\(661\) | 7.04195 | 0.273900 | 0.136950 | − | 0.990578i | \(-0.456270\pi\) | ||||
0.136950 | + | 0.990578i | \(0.456270\pi\) | |||||||
\(662\) | −3.76790 | −0.146444 | ||||||||
\(663\) | −1.94002 | −0.0753441 | ||||||||
\(664\) | −8.43352 | −0.327284 | ||||||||
\(665\) | −30.2976 | −1.17489 | ||||||||
\(666\) | −1.22171 | −0.0473403 | ||||||||
\(667\) | −1.30090 | −0.0503709 | ||||||||
\(668\) | 20.4886 | 0.792728 | ||||||||
\(669\) | 6.95114 | 0.268746 | ||||||||
\(670\) | 6.36152 | 0.245767 | ||||||||
\(671\) | −32.6374 | −1.25995 | ||||||||
\(672\) | 6.42283 | 0.247766 | ||||||||
\(673\) | −34.4211 | −1.32684 | −0.663418 | − | 0.748249i | \(-0.730895\pi\) | ||||
−0.663418 | + | 0.748249i | \(0.730895\pi\) | |||||||
\(674\) | 2.83747 | 0.109295 | ||||||||
\(675\) | 38.8068 | 1.49368 | ||||||||
\(676\) | −6.76766 | −0.260295 | ||||||||
\(677\) | −48.3048 | −1.85651 | −0.928253 | − | 0.371950i | \(-0.878689\pi\) | ||||
−0.928253 | + | 0.371950i | \(0.878689\pi\) | |||||||
\(678\) | −4.27285 | −0.164098 | ||||||||
\(679\) | −71.5860 | −2.74722 | ||||||||
\(680\) | −2.04695 | −0.0784969 | ||||||||
\(681\) | −10.7767 | −0.412965 | ||||||||
\(682\) | 14.5641 | 0.557688 | ||||||||
\(683\) | 7.92791 | 0.303353 | 0.151677 | − | 0.988430i | \(-0.451533\pi\) | ||||
0.151677 | + | 0.988430i | \(0.451533\pi\) | |||||||
\(684\) | 2.29723 | 0.0878367 | ||||||||
\(685\) | 38.5098 | 1.47138 | ||||||||
\(686\) | −49.1252 | −1.87561 | ||||||||
\(687\) | 36.2680 | 1.38371 | ||||||||
\(688\) | −1.70995 | −0.0651914 | ||||||||
\(689\) | 1.05807 | 0.0403092 | ||||||||
\(690\) | −4.52329 | −0.172199 | ||||||||
\(691\) | 4.26846 | 0.162380 | 0.0811899 | − | 0.996699i | \(-0.474128\pi\) | ||||
0.0811899 | + | 0.996699i | \(0.474128\pi\) | |||||||
\(692\) | −23.0727 | −0.877094 | ||||||||
\(693\) | 31.1124 | 1.18186 | ||||||||
\(694\) | 21.9432 | 0.832951 | ||||||||
\(695\) | −55.6185 | −2.10973 | ||||||||
\(696\) | −1.70474 | −0.0646178 | ||||||||
\(697\) | 0.713479 | 0.0270250 | ||||||||
\(698\) | 25.6240 | 0.969883 | ||||||||
\(699\) | −20.2466 | −0.765796 | ||||||||
\(700\) | −33.8908 | −1.28095 | ||||||||
\(701\) | 17.4524 | 0.659166 | 0.329583 | − | 0.944127i | \(-0.393092\pi\) | ||||
0.329583 | + | 0.944127i | \(0.393092\pi\) | |||||||
\(702\) | 14.0109 | 0.528806 | ||||||||
\(703\) | −1.70559 | −0.0643275 | ||||||||
\(704\) | 4.94848 | 0.186503 | ||||||||
\(705\) | 15.0205 | 0.565706 | ||||||||
\(706\) | 10.4939 | 0.394942 | ||||||||
\(707\) | 20.6174 | 0.775396 | ||||||||
\(708\) | −12.2987 | −0.462215 | ||||||||
\(709\) | 28.6904 | 1.07749 | 0.538745 | − | 0.842469i | \(-0.318899\pi\) | ||||
0.538745 | + | 0.842469i | \(0.318899\pi\) | |||||||
\(710\) | 33.8629 | 1.27085 | ||||||||
\(711\) | 10.2176 | 0.383189 | ||||||||
\(712\) | −7.28886 | −0.273162 | ||||||||
\(713\) | −2.94314 | −0.110221 | ||||||||
\(714\) | 3.80884 | 0.142542 | ||||||||
\(715\) | −42.6420 | −1.59472 | ||||||||
\(716\) | −16.8870 | −0.631095 | ||||||||
\(717\) | −4.54697 | −0.169810 | ||||||||
\(718\) | −23.9118 | −0.892379 | ||||||||
\(719\) | 9.41139 | 0.350985 | 0.175493 | − | 0.984481i | \(-0.443848\pi\) | ||||
0.175493 | + | 0.984481i | \(0.443848\pi\) | |||||||
\(720\) | 4.42781 | 0.165015 | ||||||||
\(721\) | −96.7046 | −3.60147 | ||||||||
\(722\) | −15.7929 | −0.587751 | ||||||||
\(723\) | −11.0341 | −0.410363 | ||||||||
\(724\) | 9.20541 | 0.342116 | ||||||||
\(725\) | 8.99522 | 0.334074 | ||||||||
\(726\) | −17.6744 | −0.655959 | ||||||||
\(727\) | 35.3000 | 1.30921 | 0.654603 | − | 0.755973i | \(-0.272836\pi\) | ||||
0.654603 | + | 0.755973i | \(0.272836\pi\) | |||||||
\(728\) | −12.2360 | −0.453495 | ||||||||
\(729\) | 26.5611 | 0.983746 | ||||||||
\(730\) | 13.2516 | 0.490463 | ||||||||
\(731\) | −1.01403 | −0.0375053 | ||||||||
\(732\) | 8.64287 | 0.319450 | ||||||||
\(733\) | −22.4260 | −0.828321 | −0.414161 | − | 0.910204i | \(-0.635925\pi\) | ||||
−0.414161 | + | 0.910204i | \(0.635925\pi\) | |||||||
\(734\) | 21.6754 | 0.800054 | ||||||||
\(735\) | 76.9993 | 2.84016 | ||||||||
\(736\) | −1.00000 | −0.0368605 | ||||||||
\(737\) | −9.11996 | −0.335938 | ||||||||
\(738\) | −1.54335 | −0.0568114 | ||||||||
\(739\) | −18.1709 | −0.668428 | −0.334214 | − | 0.942497i | \(-0.608471\pi\) | ||||
−0.334214 | + | 0.942497i | \(0.608471\pi\) | |||||||
\(740\) | −3.28745 | −0.120849 | ||||||||
\(741\) | 5.85861 | 0.215222 | ||||||||
\(742\) | −2.07731 | −0.0762603 | ||||||||
\(743\) | −13.7407 | −0.504099 | −0.252049 | − | 0.967714i | \(-0.581105\pi\) | ||||
−0.252049 | + | 0.967714i | \(0.581105\pi\) | |||||||
\(744\) | −3.85678 | −0.141397 | ||||||||
\(745\) | 76.7715 | 2.81269 | ||||||||
\(746\) | −30.3084 | −1.10967 | ||||||||
\(747\) | 10.8183 | 0.395820 | ||||||||
\(748\) | 2.93453 | 0.107297 | ||||||||
\(749\) | 1.40771 | 0.0514365 | ||||||||
\(750\) | 8.66044 | 0.316234 | ||||||||
\(751\) | 21.1294 | 0.771021 | 0.385511 | − | 0.922703i | \(-0.374025\pi\) | ||||
0.385511 | + | 0.922703i | \(0.374025\pi\) | |||||||
\(752\) | 3.32071 | 0.121094 | ||||||||
\(753\) | 20.8354 | 0.759283 | ||||||||
\(754\) | 3.24764 | 0.118272 | ||||||||
\(755\) | 42.4105 | 1.54347 | ||||||||
\(756\) | −27.5075 | −1.00044 | ||||||||
\(757\) | −31.1843 | −1.13341 | −0.566706 | − | 0.823920i | \(-0.691783\pi\) | ||||
−0.566706 | + | 0.823920i | \(0.691783\pi\) | |||||||
\(758\) | 5.38087 | 0.195442 | ||||||||
\(759\) | 6.48465 | 0.235378 | ||||||||
\(760\) | 6.18152 | 0.224227 | ||||||||
\(761\) | −5.31043 | −0.192503 | −0.0962514 | − | 0.995357i | \(-0.530685\pi\) | ||||
−0.0962514 | + | 0.995357i | \(0.530685\pi\) | |||||||
\(762\) | 7.82656 | 0.283526 | ||||||||
\(763\) | 29.5143 | 1.06849 | ||||||||
\(764\) | −22.3547 | −0.808765 | ||||||||
\(765\) | 2.62576 | 0.0949347 | ||||||||
\(766\) | 25.9080 | 0.936095 | ||||||||
\(767\) | 23.4300 | 0.846008 | ||||||||
\(768\) | −1.31043 | −0.0472861 | ||||||||
\(769\) | 3.96990 | 0.143158 | 0.0715791 | − | 0.997435i | \(-0.477196\pi\) | ||||
0.0715791 | + | 0.997435i | \(0.477196\pi\) | |||||||
\(770\) | 83.7191 | 3.01703 | ||||||||
\(771\) | −9.43071 | −0.339639 | ||||||||
\(772\) | 10.8674 | 0.391125 | ||||||||
\(773\) | 36.5290 | 1.31386 | 0.656929 | − | 0.753953i | \(-0.271855\pi\) | ||||
0.656929 | + | 0.753953i | \(0.271855\pi\) | |||||||
\(774\) | 2.19348 | 0.0788430 | ||||||||
\(775\) | 20.3507 | 0.731020 | ||||||||
\(776\) | 14.6055 | 0.524306 | ||||||||
\(777\) | 6.11710 | 0.219450 | ||||||||
\(778\) | −16.5442 | −0.593138 | ||||||||
\(779\) | −2.15462 | −0.0771972 | ||||||||
\(780\) | 11.2922 | 0.404327 | ||||||||
\(781\) | −48.5463 | −1.73712 | ||||||||
\(782\) | −0.593016 | −0.0212062 | ||||||||
\(783\) | 7.30099 | 0.260916 | ||||||||
\(784\) | 17.0229 | 0.607959 | ||||||||
\(785\) | −38.6146 | −1.37821 | ||||||||
\(786\) | −1.31043 | −0.0467415 | ||||||||
\(787\) | −27.1371 | −0.967335 | −0.483667 | − | 0.875252i | \(-0.660696\pi\) | ||||
−0.483667 | + | 0.875252i | \(0.660696\pi\) | |||||||
\(788\) | −8.37225 | −0.298249 | ||||||||
\(789\) | −16.0258 | −0.570535 | ||||||||
\(790\) | 27.4941 | 0.978196 | ||||||||
\(791\) | −15.9814 | −0.568234 | ||||||||
\(792\) | −6.34777 | −0.225558 | ||||||||
\(793\) | −16.4653 | −0.584700 | ||||||||
\(794\) | −1.48149 | −0.0525762 | ||||||||
\(795\) | 1.91709 | 0.0679922 | ||||||||
\(796\) | −21.0862 | −0.747379 | ||||||||
\(797\) | 20.5804 | 0.728995 | 0.364497 | − | 0.931204i | \(-0.381241\pi\) | ||||
0.364497 | + | 0.931204i | \(0.381241\pi\) | |||||||
\(798\) | −11.5022 | −0.407174 | ||||||||
\(799\) | 1.96923 | 0.0696665 | ||||||||
\(800\) | 6.91463 | 0.244469 | ||||||||
\(801\) | 9.34994 | 0.330364 | ||||||||
\(802\) | 14.5304 | 0.513088 | ||||||||
\(803\) | −18.9976 | −0.670411 | ||||||||
\(804\) | 2.41510 | 0.0851740 | ||||||||
\(805\) | −16.9181 | −0.596286 | ||||||||
\(806\) | 7.34745 | 0.258803 | ||||||||
\(807\) | −5.33929 | −0.187952 | ||||||||
\(808\) | −4.20650 | −0.147984 | ||||||||
\(809\) | −22.7174 | −0.798700 | −0.399350 | − | 0.916799i | \(-0.630764\pi\) | ||||
−0.399350 | + | 0.916799i | \(0.630764\pi\) | |||||||
\(810\) | 12.1025 | 0.425239 | ||||||||
\(811\) | −15.2314 | −0.534845 | −0.267423 | − | 0.963579i | \(-0.586172\pi\) | ||||
−0.267423 | + | 0.963579i | \(0.586172\pi\) | |||||||
\(812\) | −6.37610 | −0.223757 | ||||||||
\(813\) | 14.1975 | 0.497927 | ||||||||
\(814\) | 4.71293 | 0.165188 | ||||||||
\(815\) | 47.8152 | 1.67490 | ||||||||
\(816\) | −0.777106 | −0.0272042 | ||||||||
\(817\) | 3.06224 | 0.107134 | ||||||||
\(818\) | −35.4460 | −1.23934 | ||||||||
\(819\) | 15.6959 | 0.548460 | ||||||||
\(820\) | −4.15294 | −0.145027 | ||||||||
\(821\) | 39.7752 | 1.38816 | 0.694082 | − | 0.719896i | \(-0.255810\pi\) | ||||
0.694082 | + | 0.719896i | \(0.255810\pi\) | |||||||
\(822\) | 14.6199 | 0.509928 | ||||||||
\(823\) | 28.3875 | 0.989525 | 0.494762 | − | 0.869028i | \(-0.335255\pi\) | ||||
0.494762 | + | 0.869028i | \(0.335255\pi\) | |||||||
\(824\) | 19.7304 | 0.687339 | ||||||||
\(825\) | −44.8389 | −1.56109 | ||||||||
\(826\) | −46.0001 | −1.60055 | ||||||||
\(827\) | −18.5832 | −0.646202 | −0.323101 | − | 0.946365i | \(-0.604725\pi\) | ||||
−0.323101 | + | 0.946365i | \(0.604725\pi\) | |||||||
\(828\) | 1.28277 | 0.0445794 | ||||||||
\(829\) | 45.4197 | 1.57749 | 0.788746 | − | 0.614719i | \(-0.210731\pi\) | ||||
0.788746 | + | 0.614719i | \(0.210731\pi\) | |||||||
\(830\) | 29.1105 | 1.01044 | ||||||||
\(831\) | −13.1722 | −0.456938 | ||||||||
\(832\) | 2.49647 | 0.0865494 | ||||||||
\(833\) | 10.0948 | 0.349765 | ||||||||
\(834\) | −21.1151 | −0.731156 | ||||||||
\(835\) | −70.7218 | −2.44743 | ||||||||
\(836\) | −8.86191 | −0.306496 | ||||||||
\(837\) | 16.5177 | 0.570936 | ||||||||
\(838\) | 3.75478 | 0.129707 | ||||||||
\(839\) | −34.7039 | −1.19811 | −0.599057 | − | 0.800707i | \(-0.704458\pi\) | ||||
−0.599057 | + | 0.800707i | \(0.704458\pi\) | |||||||
\(840\) | −22.1701 | −0.764940 | ||||||||
\(841\) | −27.3077 | −0.941644 | ||||||||
\(842\) | −19.8396 | −0.683719 | ||||||||
\(843\) | 3.95722 | 0.136294 | ||||||||
\(844\) | 11.6134 | 0.399749 | ||||||||
\(845\) | 23.3603 | 0.803620 | ||||||||
\(846\) | −4.25971 | −0.146452 | ||||||||
\(847\) | −66.1064 | −2.27144 | ||||||||
\(848\) | 0.423826 | 0.0145543 | ||||||||
\(849\) | 6.97250 | 0.239295 | ||||||||
\(850\) | 4.10049 | 0.140646 | ||||||||
\(851\) | −0.952399 | −0.0326478 | ||||||||
\(852\) | 12.8558 | 0.440431 | ||||||||
\(853\) | −44.0052 | −1.50671 | −0.753354 | − | 0.657615i | \(-0.771565\pi\) | ||||
−0.753354 | + | 0.657615i | \(0.771565\pi\) | |||||||
\(854\) | 32.3263 | 1.10618 | ||||||||
\(855\) | −7.92948 | −0.271182 | ||||||||
\(856\) | −0.287210 | −0.00981664 | ||||||||
\(857\) | −1.21865 | −0.0416282 | −0.0208141 | − | 0.999783i | \(-0.506626\pi\) | ||||
−0.0208141 | + | 0.999783i | \(0.506626\pi\) | |||||||
\(858\) | −16.1887 | −0.552673 | ||||||||
\(859\) | −49.1353 | −1.67648 | −0.838238 | − | 0.545305i | \(-0.816414\pi\) | ||||
−0.838238 | + | 0.545305i | \(0.816414\pi\) | |||||||
\(860\) | 5.90235 | 0.201268 | ||||||||
\(861\) | 7.72754 | 0.263354 | ||||||||
\(862\) | 17.6804 | 0.602198 | ||||||||
\(863\) | 20.0701 | 0.683194 | 0.341597 | − | 0.939847i | \(-0.389032\pi\) | ||||
0.341597 | + | 0.939847i | \(0.389032\pi\) | |||||||
\(864\) | 5.61228 | 0.190933 | ||||||||
\(865\) | 79.6415 | 2.70789 | ||||||||
\(866\) | 0.156994 | 0.00533488 | ||||||||
\(867\) | 21.8165 | 0.740927 | ||||||||
\(868\) | −14.4253 | −0.489625 | ||||||||
\(869\) | −39.4159 | −1.33709 | ||||||||
\(870\) | 5.88433 | 0.199498 | ||||||||
\(871\) | −4.60094 | −0.155897 | ||||||||
\(872\) | −6.02172 | −0.203921 | ||||||||
\(873\) | −18.7355 | −0.634100 | ||||||||
\(874\) | 1.79083 | 0.0605758 | ||||||||
\(875\) | 32.3920 | 1.09505 | ||||||||
\(876\) | 5.03085 | 0.169977 | ||||||||
\(877\) | −55.5082 | −1.87438 | −0.937189 | − | 0.348822i | \(-0.886582\pi\) | ||||
−0.937189 | + | 0.348822i | \(0.886582\pi\) | |||||||
\(878\) | −9.59119 | −0.323687 | ||||||||
\(879\) | 22.6086 | 0.762568 | ||||||||
\(880\) | −17.0810 | −0.575799 | ||||||||
\(881\) | −42.6026 | −1.43532 | −0.717659 | − | 0.696395i | \(-0.754786\pi\) | ||||
−0.717659 | + | 0.696395i | \(0.754786\pi\) | |||||||
\(882\) | −21.8364 | −0.735271 | ||||||||
\(883\) | 12.2124 | 0.410982 | 0.205491 | − | 0.978659i | \(-0.434121\pi\) | ||||
0.205491 | + | 0.978659i | \(0.434121\pi\) | |||||||
\(884\) | 1.48044 | 0.0497927 | ||||||||
\(885\) | 42.4523 | 1.42702 | ||||||||
\(886\) | 29.6953 | 0.997633 | ||||||||
\(887\) | −52.8154 | −1.77337 | −0.886684 | − | 0.462376i | \(-0.846997\pi\) | ||||
−0.886684 | + | 0.462376i | \(0.846997\pi\) | |||||||
\(888\) | −1.24805 | −0.0418819 | ||||||||
\(889\) | 29.2731 | 0.981789 | ||||||||
\(890\) | 25.1594 | 0.843344 | ||||||||
\(891\) | −17.3503 | −0.581257 | ||||||||
\(892\) | −5.30447 | −0.177607 | ||||||||
\(893\) | −5.94684 | −0.199003 | ||||||||
\(894\) | 29.1457 | 0.974777 | ||||||||
\(895\) | 58.2897 | 1.94841 | ||||||||
\(896\) | −4.90131 | −0.163741 | ||||||||
\(897\) | 3.27145 | 0.109230 | ||||||||
\(898\) | −15.1481 | −0.505498 | ||||||||
\(899\) | 3.82872 | 0.127695 | ||||||||
\(900\) | −8.86989 | −0.295663 | ||||||||
\(901\) | 0.251336 | 0.00837321 | ||||||||
\(902\) | 5.95370 | 0.198237 | ||||||||
\(903\) | −10.9828 | −0.365483 | ||||||||
\(904\) | 3.26064 | 0.108447 | ||||||||
\(905\) | −31.7748 | −1.05623 | ||||||||
\(906\) | 16.1008 | 0.534913 | ||||||||
\(907\) | 57.3579 | 1.90454 | 0.952269 | − | 0.305262i | \(-0.0987439\pi\) | ||||
0.952269 | + | 0.305262i | \(0.0987439\pi\) | |||||||
\(908\) | 8.22379 | 0.272916 | ||||||||
\(909\) | 5.39597 | 0.178973 | ||||||||
\(910\) | 42.2356 | 1.40010 | ||||||||
\(911\) | 32.6540 | 1.08188 | 0.540938 | − | 0.841063i | \(-0.318069\pi\) | ||||
0.540938 | + | 0.841063i | \(0.318069\pi\) | |||||||
\(912\) | 2.34676 | 0.0777091 | ||||||||
\(913\) | −41.7331 | −1.38117 | ||||||||
\(914\) | −35.0201 | −1.15836 | ||||||||
\(915\) | −29.8331 | −0.986252 | ||||||||
\(916\) | −27.6764 | −0.914453 | ||||||||
\(917\) | −4.90131 | −0.161856 | ||||||||
\(918\) | 3.32817 | 0.109846 | ||||||||
\(919\) | −53.7776 | −1.77396 | −0.886980 | − | 0.461808i | \(-0.847201\pi\) | ||||
−0.886980 | + | 0.461808i | \(0.847201\pi\) | |||||||
\(920\) | 3.45176 | 0.113801 | ||||||||
\(921\) | 19.5081 | 0.642812 | ||||||||
\(922\) | 22.6200 | 0.744949 | ||||||||
\(923\) | −24.4912 | −0.806136 | ||||||||
\(924\) | 31.7833 | 1.04559 | ||||||||
\(925\) | 6.58549 | 0.216530 | ||||||||
\(926\) | 10.4348 | 0.342909 | ||||||||
\(927\) | −25.3095 | −0.831274 | ||||||||
\(928\) | 1.30090 | 0.0427040 | ||||||||
\(929\) | 6.47143 | 0.212321 | 0.106160 | − | 0.994349i | \(-0.466144\pi\) | ||||
0.106160 | + | 0.994349i | \(0.466144\pi\) | |||||||
\(930\) | 13.3127 | 0.436540 | ||||||||
\(931\) | −30.4851 | −0.999109 | ||||||||
\(932\) | 15.4503 | 0.506092 | ||||||||
\(933\) | −15.6446 | −0.512181 | ||||||||
\(934\) | 38.3231 | 1.25397 | ||||||||
\(935\) | −10.1293 | −0.331263 | ||||||||
\(936\) | −3.20239 | −0.104673 | ||||||||
\(937\) | −50.8228 | −1.66031 | −0.830154 | − | 0.557534i | \(-0.811747\pi\) | ||||
−0.830154 | + | 0.557534i | \(0.811747\pi\) | |||||||
\(938\) | 9.03302 | 0.294939 | ||||||||
\(939\) | −14.7816 | −0.482381 | ||||||||
\(940\) | −11.4623 | −0.373859 | ||||||||
\(941\) | −0.933595 | −0.0304343 | −0.0152172 | − | 0.999884i | \(-0.504844\pi\) | ||||
−0.0152172 | + | 0.999884i | \(0.504844\pi\) | |||||||
\(942\) | −14.6597 | −0.477639 | ||||||||
\(943\) | −1.20314 | −0.0391795 | ||||||||
\(944\) | 9.38527 | 0.305464 | ||||||||
\(945\) | 94.9493 | 3.08870 | ||||||||
\(946\) | −8.46168 | −0.275113 | ||||||||
\(947\) | 55.0764 | 1.78974 | 0.894871 | − | 0.446325i | \(-0.147267\pi\) | ||||
0.894871 | + | 0.446325i | \(0.147267\pi\) | |||||||
\(948\) | 10.4379 | 0.339007 | ||||||||
\(949\) | −9.58413 | −0.311114 | ||||||||
\(950\) | −12.3830 | −0.401756 | ||||||||
\(951\) | −16.7251 | −0.542348 | ||||||||
\(952\) | −2.90656 | −0.0942020 | ||||||||
\(953\) | 24.5155 | 0.794135 | 0.397068 | − | 0.917789i | \(-0.370028\pi\) | ||||
0.397068 | + | 0.917789i | \(0.370028\pi\) | |||||||
\(954\) | −0.543672 | −0.0176020 | ||||||||
\(955\) | 77.1631 | 2.49694 | ||||||||
\(956\) | 3.46983 | 0.112222 | ||||||||
\(957\) | −8.43585 | −0.272692 | ||||||||
\(958\) | −4.13937 | −0.133737 | ||||||||
\(959\) | 54.6819 | 1.76577 | ||||||||
\(960\) | 4.52329 | 0.145989 | ||||||||
\(961\) | −22.3379 | −0.720578 | ||||||||
\(962\) | 2.37763 | 0.0766579 | ||||||||
\(963\) | 0.368425 | 0.0118723 | ||||||||
\(964\) | 8.42022 | 0.271197 | ||||||||
\(965\) | −37.5115 | −1.20754 | ||||||||
\(966\) | −6.42283 | −0.206651 | ||||||||
\(967\) | 9.95960 | 0.320279 | 0.160140 | − | 0.987094i | \(-0.448806\pi\) | ||||
0.160140 | + | 0.987094i | \(0.448806\pi\) | |||||||
\(968\) | 13.4875 | 0.433504 | ||||||||
\(969\) | 1.39167 | 0.0447068 | ||||||||
\(970\) | −50.4146 | −1.61872 | ||||||||
\(971\) | 5.63403 | 0.180805 | 0.0904024 | − | 0.995905i | \(-0.471185\pi\) | ||||
0.0904024 | + | 0.995905i | \(0.471185\pi\) | |||||||
\(972\) | −12.2422 | −0.392669 | ||||||||
\(973\) | −78.9753 | −2.53183 | ||||||||
\(974\) | 5.91980 | 0.189683 | ||||||||
\(975\) | −22.6208 | −0.724447 | ||||||||
\(976\) | −6.59544 | −0.211115 | ||||||||
\(977\) | −36.7141 | −1.17459 | −0.587295 | − | 0.809373i | \(-0.699807\pi\) | ||||
−0.587295 | + | 0.809373i | \(0.699807\pi\) | |||||||
\(978\) | 18.1527 | 0.580458 | ||||||||
\(979\) | −36.0688 | −1.15276 | ||||||||
\(980\) | −58.7588 | −1.87698 | ||||||||
\(981\) | 7.72448 | 0.246624 | ||||||||
\(982\) | −40.9334 | −1.30624 | ||||||||
\(983\) | −32.6183 | −1.04036 | −0.520181 | − | 0.854056i | \(-0.674136\pi\) | ||||
−0.520181 | + | 0.854056i | \(0.674136\pi\) | |||||||
\(984\) | −1.57663 | −0.0502610 | ||||||||
\(985\) | 28.8990 | 0.920798 | ||||||||
\(986\) | 0.771452 | 0.0245681 | ||||||||
\(987\) | 21.3284 | 0.678889 | ||||||||
\(988\) | −4.47075 | −0.142234 | ||||||||
\(989\) | 1.70995 | 0.0543734 | ||||||||
\(990\) | 21.9110 | 0.696376 | ||||||||
\(991\) | −8.80535 | −0.279711 | −0.139856 | − | 0.990172i | \(-0.544664\pi\) | ||||
−0.139856 | + | 0.990172i | \(0.544664\pi\) | |||||||
\(992\) | 2.94314 | 0.0934448 | ||||||||
\(993\) | 4.93757 | 0.156689 | ||||||||
\(994\) | 48.0835 | 1.52512 | ||||||||
\(995\) | 72.7843 | 2.30742 | ||||||||
\(996\) | 11.0515 | 0.350182 | ||||||||
\(997\) | 25.3789 | 0.803758 | 0.401879 | − | 0.915693i | \(-0.368357\pi\) | ||||
0.401879 | + | 0.915693i | \(0.368357\pi\) | |||||||
\(998\) | −4.81726 | −0.152488 | ||||||||
\(999\) | 5.34513 | 0.169112 |
(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 | 6026.2.a.g.1.6 | ✓ | 21 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
6026.2.a.g.1.6 | ✓ | 21 | 1.1 | even | 1 | trivial |