Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [6007,2,Mod(1,6007)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(6007, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("6007.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 6007 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6007.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: | \(47.9661364942\) |
Analytic rank: | \(0\) |
Dimension: | \(261\) |
Twist minimal: | yes |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.2 | ||
Character | \(\chi\) | \(=\) | 6007.1 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.81023 | −1.98714 | −0.993568 | − | 0.113239i | \(-0.963878\pi\) | ||||
−0.993568 | + | 0.113239i | \(0.963878\pi\) | |||||||
\(3\) | −2.20286 | −1.27182 | −0.635911 | − | 0.771762i | \(-0.719376\pi\) | ||||
−0.635911 | + | 0.771762i | \(0.719376\pi\) | |||||||
\(4\) | 5.89742 | 2.94871 | ||||||||
\(5\) | 4.33627 | 1.93924 | 0.969619 | − | 0.244621i | \(-0.0786637\pi\) | ||||
0.969619 | + | 0.244621i | \(0.0786637\pi\) | |||||||
\(6\) | 6.19056 | 2.52728 | ||||||||
\(7\) | 0.601928 | 0.227507 | 0.113754 | − | 0.993509i | \(-0.463713\pi\) | ||||
0.113754 | + | 0.993509i | \(0.463713\pi\) | |||||||
\(8\) | −10.9527 | −3.87235 | ||||||||
\(9\) | 1.85260 | 0.617534 | ||||||||
\(10\) | −12.1859 | −3.85353 | ||||||||
\(11\) | −1.95095 | −0.588234 | −0.294117 | − | 0.955769i | \(-0.595026\pi\) | ||||
−0.294117 | + | 0.955769i | \(0.595026\pi\) | |||||||
\(12\) | −12.9912 | −3.75023 | ||||||||
\(13\) | −0.638794 | −0.177170 | −0.0885848 | − | 0.996069i | \(-0.528234\pi\) | ||||
−0.0885848 | + | 0.996069i | \(0.528234\pi\) | |||||||
\(14\) | −1.69156 | −0.452088 | ||||||||
\(15\) | −9.55220 | −2.46637 | ||||||||
\(16\) | 18.9847 | 4.74617 | ||||||||
\(17\) | 5.84863 | 1.41850 | 0.709251 | − | 0.704956i | \(-0.249033\pi\) | ||||
0.709251 | + | 0.704956i | \(0.249033\pi\) | |||||||
\(18\) | −5.20624 | −1.22712 | ||||||||
\(19\) | −4.93353 | −1.13183 | −0.565914 | − | 0.824464i | \(-0.691477\pi\) | ||||
−0.565914 | + | 0.824464i | \(0.691477\pi\) | |||||||
\(20\) | 25.5728 | 5.71824 | ||||||||
\(21\) | −1.32596 | −0.289349 | ||||||||
\(22\) | 5.48263 | 1.16890 | ||||||||
\(23\) | −2.39688 | −0.499784 | −0.249892 | − | 0.968274i | \(-0.580395\pi\) | ||||
−0.249892 | + | 0.968274i | \(0.580395\pi\) | |||||||
\(24\) | 24.1272 | 4.92494 | ||||||||
\(25\) | 13.8032 | 2.76064 | ||||||||
\(26\) | 1.79516 | 0.352060 | ||||||||
\(27\) | 2.52756 | 0.486430 | ||||||||
\(28\) | 3.54982 | 0.670853 | ||||||||
\(29\) | 6.77850 | 1.25874 | 0.629368 | − | 0.777108i | \(-0.283314\pi\) | ||||
0.629368 | + | 0.777108i | \(0.283314\pi\) | |||||||
\(30\) | 26.8439 | 4.90100 | ||||||||
\(31\) | −4.97453 | −0.893452 | −0.446726 | − | 0.894671i | \(-0.647410\pi\) | ||||
−0.446726 | + | 0.894671i | \(0.647410\pi\) | |||||||
\(32\) | −31.4461 | −5.55894 | ||||||||
\(33\) | 4.29768 | 0.748130 | ||||||||
\(34\) | −16.4360 | −2.81875 | ||||||||
\(35\) | 2.61012 | 0.441191 | ||||||||
\(36\) | 10.9256 | 1.82093 | ||||||||
\(37\) | −2.01664 | −0.331533 | −0.165767 | − | 0.986165i | \(-0.553010\pi\) | ||||
−0.165767 | + | 0.986165i | \(0.553010\pi\) | |||||||
\(38\) | 13.8644 | 2.24910 | ||||||||
\(39\) | 1.40718 | 0.225328 | ||||||||
\(40\) | −47.4936 | −7.50940 | ||||||||
\(41\) | −3.61257 | −0.564188 | −0.282094 | − | 0.959387i | \(-0.591029\pi\) | ||||
−0.282094 | + | 0.959387i | \(0.591029\pi\) | |||||||
\(42\) | 3.72627 | 0.574976 | ||||||||
\(43\) | 7.38229 | 1.12579 | 0.562895 | − | 0.826529i | \(-0.309688\pi\) | ||||
0.562895 | + | 0.826529i | \(0.309688\pi\) | |||||||
\(44\) | −11.5056 | −1.73453 | ||||||||
\(45\) | 8.03337 | 1.19754 | ||||||||
\(46\) | 6.73579 | 0.993138 | ||||||||
\(47\) | 1.60762 | 0.234495 | 0.117248 | − | 0.993103i | \(-0.462593\pi\) | ||||
0.117248 | + | 0.993103i | \(0.462593\pi\) | |||||||
\(48\) | −41.8206 | −6.03629 | ||||||||
\(49\) | −6.63768 | −0.948240 | ||||||||
\(50\) | −38.7902 | −5.48577 | ||||||||
\(51\) | −12.8837 | −1.80408 | ||||||||
\(52\) | −3.76724 | −0.522422 | ||||||||
\(53\) | 3.69528 | 0.507585 | 0.253793 | − | 0.967259i | \(-0.418322\pi\) | ||||
0.253793 | + | 0.967259i | \(0.418322\pi\) | |||||||
\(54\) | −7.10304 | −0.966601 | ||||||||
\(55\) | −8.45985 | −1.14073 | ||||||||
\(56\) | −6.59271 | −0.880987 | ||||||||
\(57\) | 10.8679 | 1.43949 | ||||||||
\(58\) | −19.0492 | −2.50128 | ||||||||
\(59\) | −7.47114 | −0.972659 | −0.486330 | − | 0.873775i | \(-0.661665\pi\) | ||||
−0.486330 | + | 0.873775i | \(0.661665\pi\) | |||||||
\(60\) | −56.3333 | −7.27260 | ||||||||
\(61\) | −2.73881 | −0.350669 | −0.175334 | − | 0.984509i | \(-0.556101\pi\) | ||||
−0.175334 | + | 0.984509i | \(0.556101\pi\) | |||||||
\(62\) | 13.9796 | 1.77541 | ||||||||
\(63\) | 1.11513 | 0.140493 | ||||||||
\(64\) | 50.4016 | 6.30019 | ||||||||
\(65\) | −2.76998 | −0.343574 | ||||||||
\(66\) | −12.0775 | −1.48664 | ||||||||
\(67\) | 13.9681 | 1.70647 | 0.853236 | − | 0.521526i | \(-0.174637\pi\) | ||||
0.853236 | + | 0.521526i | \(0.174637\pi\) | |||||||
\(68\) | 34.4918 | 4.18275 | ||||||||
\(69\) | 5.27999 | 0.635636 | ||||||||
\(70\) | −7.33505 | −0.876706 | ||||||||
\(71\) | −10.4090 | −1.23533 | −0.617663 | − | 0.786443i | \(-0.711920\pi\) | ||||
−0.617663 | + | 0.786443i | \(0.711920\pi\) | |||||||
\(72\) | −20.2909 | −2.39130 | ||||||||
\(73\) | 11.9176 | 1.39485 | 0.697426 | − | 0.716657i | \(-0.254329\pi\) | ||||
0.697426 | + | 0.716657i | \(0.254329\pi\) | |||||||
\(74\) | 5.66723 | 0.658802 | ||||||||
\(75\) | −30.4066 | −3.51105 | ||||||||
\(76\) | −29.0951 | −3.33743 | ||||||||
\(77\) | −1.17433 | −0.133828 | ||||||||
\(78\) | −3.95449 | −0.447758 | ||||||||
\(79\) | −1.66559 | −0.187394 | −0.0936968 | − | 0.995601i | \(-0.529868\pi\) | ||||
−0.0936968 | + | 0.995601i | \(0.529868\pi\) | |||||||
\(80\) | 82.3227 | 9.20395 | ||||||||
\(81\) | −11.1257 | −1.23619 | ||||||||
\(82\) | 10.1522 | 1.12112 | ||||||||
\(83\) | −9.37613 | −1.02916 | −0.514582 | − | 0.857441i | \(-0.672053\pi\) | ||||
−0.514582 | + | 0.857441i | \(0.672053\pi\) | |||||||
\(84\) | −7.81976 | −0.853206 | ||||||||
\(85\) | 25.3612 | 2.75081 | ||||||||
\(86\) | −20.7460 | −2.23710 | ||||||||
\(87\) | −14.9321 | −1.60089 | ||||||||
\(88\) | 21.3681 | 2.27785 | ||||||||
\(89\) | −2.69099 | −0.285244 | −0.142622 | − | 0.989777i | \(-0.545553\pi\) | ||||
−0.142622 | + | 0.989777i | \(0.545553\pi\) | |||||||
\(90\) | −22.5757 | −2.37968 | ||||||||
\(91\) | −0.384508 | −0.0403074 | ||||||||
\(92\) | −14.1354 | −1.47372 | ||||||||
\(93\) | 10.9582 | 1.13631 | ||||||||
\(94\) | −4.51779 | −0.465974 | ||||||||
\(95\) | −21.3931 | −2.19488 | ||||||||
\(96\) | 69.2714 | 7.06999 | ||||||||
\(97\) | −16.3166 | −1.65670 | −0.828349 | − | 0.560213i | \(-0.810719\pi\) | ||||
−0.828349 | + | 0.560213i | \(0.810719\pi\) | |||||||
\(98\) | 18.6534 | 1.88428 | ||||||||
\(99\) | −3.61434 | −0.363255 | ||||||||
\(100\) | 81.4033 | 8.14033 | ||||||||
\(101\) | 14.7604 | 1.46872 | 0.734358 | − | 0.678762i | \(-0.237483\pi\) | ||||
0.734358 | + | 0.678762i | \(0.237483\pi\) | |||||||
\(102\) | 36.2063 | 3.58496 | ||||||||
\(103\) | 10.3421 | 1.01903 | 0.509516 | − | 0.860461i | \(-0.329824\pi\) | ||||
0.509516 | + | 0.860461i | \(0.329824\pi\) | |||||||
\(104\) | 6.99649 | 0.686063 | ||||||||
\(105\) | −5.74973 | −0.561116 | ||||||||
\(106\) | −10.3846 | −1.00864 | ||||||||
\(107\) | 11.7368 | 1.13464 | 0.567320 | − | 0.823497i | \(-0.307980\pi\) | ||||
0.567320 | + | 0.823497i | \(0.307980\pi\) | |||||||
\(108\) | 14.9061 | 1.43434 | ||||||||
\(109\) | 13.8887 | 1.33029 | 0.665146 | − | 0.746713i | \(-0.268369\pi\) | ||||
0.665146 | + | 0.746713i | \(0.268369\pi\) | |||||||
\(110\) | 23.7742 | 2.26678 | ||||||||
\(111\) | 4.44238 | 0.421652 | ||||||||
\(112\) | 11.4274 | 1.07979 | ||||||||
\(113\) | 9.37285 | 0.881723 | 0.440862 | − | 0.897575i | \(-0.354673\pi\) | ||||
0.440862 | + | 0.897575i | \(0.354673\pi\) | |||||||
\(114\) | −30.5413 | −2.86045 | ||||||||
\(115\) | −10.3935 | −0.969199 | ||||||||
\(116\) | 39.9756 | 3.71164 | ||||||||
\(117\) | −1.18343 | −0.109408 | ||||||||
\(118\) | 20.9956 | 1.93281 | ||||||||
\(119\) | 3.52045 | 0.322719 | ||||||||
\(120\) | 104.622 | 9.55063 | ||||||||
\(121\) | −7.19378 | −0.653980 | ||||||||
\(122\) | 7.69670 | 0.696827 | ||||||||
\(123\) | 7.95799 | 0.717548 | ||||||||
\(124\) | −29.3369 | −2.63453 | ||||||||
\(125\) | 38.1731 | 3.41430 | ||||||||
\(126\) | −3.13378 | −0.279179 | ||||||||
\(127\) | −10.2666 | −0.911013 | −0.455507 | − | 0.890232i | \(-0.650542\pi\) | ||||
−0.455507 | + | 0.890232i | \(0.650542\pi\) | |||||||
\(128\) | −78.7480 | −6.96040 | ||||||||
\(129\) | −16.2622 | −1.43180 | ||||||||
\(130\) | 7.78430 | 0.682728 | ||||||||
\(131\) | 15.2661 | 1.33381 | 0.666903 | − | 0.745145i | \(-0.267620\pi\) | ||||
0.666903 | + | 0.745145i | \(0.267620\pi\) | |||||||
\(132\) | 25.3452 | 2.20602 | ||||||||
\(133\) | −2.96963 | −0.257499 | ||||||||
\(134\) | −39.2535 | −3.39099 | ||||||||
\(135\) | 10.9602 | 0.943302 | ||||||||
\(136\) | −64.0580 | −5.49293 | ||||||||
\(137\) | 18.5347 | 1.58353 | 0.791764 | − | 0.610827i | \(-0.209163\pi\) | ||||
0.791764 | + | 0.610827i | \(0.209163\pi\) | |||||||
\(138\) | −14.8380 | −1.26310 | ||||||||
\(139\) | −15.2801 | −1.29604 | −0.648021 | − | 0.761623i | \(-0.724403\pi\) | ||||
−0.648021 | + | 0.761623i | \(0.724403\pi\) | |||||||
\(140\) | 15.3930 | 1.30094 | ||||||||
\(141\) | −3.54136 | −0.298237 | ||||||||
\(142\) | 29.2518 | 2.45476 | ||||||||
\(143\) | 1.24626 | 0.104217 | ||||||||
\(144\) | 35.1710 | 2.93092 | ||||||||
\(145\) | 29.3934 | 2.44099 | ||||||||
\(146\) | −33.4913 | −2.77176 | ||||||||
\(147\) | 14.6219 | 1.20599 | ||||||||
\(148\) | −11.8930 | −0.977595 | ||||||||
\(149\) | 17.4848 | 1.43241 | 0.716207 | − | 0.697888i | \(-0.245877\pi\) | ||||
0.716207 | + | 0.697888i | \(0.245877\pi\) | |||||||
\(150\) | 85.4496 | 6.97693 | ||||||||
\(151\) | 2.38900 | 0.194414 | 0.0972072 | − | 0.995264i | \(-0.469009\pi\) | ||||
0.0972072 | + | 0.995264i | \(0.469009\pi\) | |||||||
\(152\) | 54.0352 | 4.38283 | ||||||||
\(153\) | 10.8352 | 0.875972 | ||||||||
\(154\) | 3.30015 | 0.265934 | ||||||||
\(155\) | −21.5709 | −1.73261 | ||||||||
\(156\) | 8.29870 | 0.664428 | ||||||||
\(157\) | −3.54400 | −0.282842 | −0.141421 | − | 0.989950i | \(-0.545167\pi\) | ||||
−0.141421 | + | 0.989950i | \(0.545167\pi\) | |||||||
\(158\) | 4.68070 | 0.372377 | ||||||||
\(159\) | −8.14019 | −0.645559 | ||||||||
\(160\) | −136.359 | −10.7801 | ||||||||
\(161\) | −1.44275 | −0.113704 | ||||||||
\(162\) | 31.2657 | 2.45647 | ||||||||
\(163\) | −15.8254 | −1.23954 | −0.619772 | − | 0.784782i | \(-0.712775\pi\) | ||||
−0.619772 | + | 0.784782i | \(0.712775\pi\) | |||||||
\(164\) | −21.3048 | −1.66363 | ||||||||
\(165\) | 18.6359 | 1.45080 | ||||||||
\(166\) | 26.3491 | 2.04509 | ||||||||
\(167\) | 7.23168 | 0.559604 | 0.279802 | − | 0.960058i | \(-0.409731\pi\) | ||||
0.279802 | + | 0.960058i | \(0.409731\pi\) | |||||||
\(168\) | 14.5228 | 1.12046 | ||||||||
\(169\) | −12.5919 | −0.968611 | ||||||||
\(170\) | −71.2710 | −5.46623 | ||||||||
\(171\) | −9.13986 | −0.698942 | ||||||||
\(172\) | 43.5365 | 3.31962 | ||||||||
\(173\) | 14.5017 | 1.10254 | 0.551271 | − | 0.834326i | \(-0.314143\pi\) | ||||
0.551271 | + | 0.834326i | \(0.314143\pi\) | |||||||
\(174\) | 41.9627 | 3.18118 | ||||||||
\(175\) | 8.30853 | 0.628066 | ||||||||
\(176\) | −37.0382 | −2.79186 | ||||||||
\(177\) | 16.4579 | 1.23705 | ||||||||
\(178\) | 7.56230 | 0.566819 | ||||||||
\(179\) | 19.7734 | 1.47793 | 0.738967 | − | 0.673742i | \(-0.235314\pi\) | ||||
0.738967 | + | 0.673742i | \(0.235314\pi\) | |||||||
\(180\) | 47.3761 | 3.53121 | ||||||||
\(181\) | 3.13654 | 0.233137 | 0.116568 | − | 0.993183i | \(-0.462811\pi\) | ||||
0.116568 | + | 0.993183i | \(0.462811\pi\) | |||||||
\(182\) | 1.08056 | 0.0800963 | ||||||||
\(183\) | 6.03322 | 0.445989 | ||||||||
\(184\) | 26.2522 | 1.93534 | ||||||||
\(185\) | −8.74468 | −0.642922 | ||||||||
\(186\) | −30.7951 | −2.25801 | ||||||||
\(187\) | −11.4104 | −0.834411 | ||||||||
\(188\) | 9.48080 | 0.691458 | ||||||||
\(189\) | 1.52141 | 0.110666 | ||||||||
\(190\) | 60.1196 | 4.36153 | ||||||||
\(191\) | −10.1409 | −0.733771 | −0.366885 | − | 0.930266i | \(-0.619576\pi\) | ||||
−0.366885 | + | 0.930266i | \(0.619576\pi\) | |||||||
\(192\) | −111.028 | −8.01273 | ||||||||
\(193\) | −21.5914 | −1.55418 | −0.777092 | − | 0.629387i | \(-0.783306\pi\) | ||||
−0.777092 | + | 0.629387i | \(0.783306\pi\) | |||||||
\(194\) | 45.8534 | 3.29208 | ||||||||
\(195\) | 6.10189 | 0.436965 | ||||||||
\(196\) | −39.1452 | −2.79608 | ||||||||
\(197\) | −10.8767 | −0.774933 | −0.387467 | − | 0.921884i | \(-0.626650\pi\) | ||||
−0.387467 | + | 0.921884i | \(0.626650\pi\) | |||||||
\(198\) | 10.1571 | 0.721836 | ||||||||
\(199\) | −9.53646 | −0.676022 | −0.338011 | − | 0.941142i | \(-0.609754\pi\) | ||||
−0.338011 | + | 0.941142i | \(0.609754\pi\) | |||||||
\(200\) | −151.182 | −10.6902 | ||||||||
\(201\) | −30.7697 | −2.17033 | ||||||||
\(202\) | −41.4802 | −2.91854 | ||||||||
\(203\) | 4.08017 | 0.286371 | ||||||||
\(204\) | −75.9807 | −5.31971 | ||||||||
\(205\) | −15.6651 | −1.09409 | ||||||||
\(206\) | −29.0636 | −2.02496 | ||||||||
\(207\) | −4.44046 | −0.308633 | ||||||||
\(208\) | −12.1273 | −0.840878 | ||||||||
\(209\) | 9.62508 | 0.665781 | ||||||||
\(210\) | 16.1581 | 1.11501 | ||||||||
\(211\) | 22.5473 | 1.55222 | 0.776109 | − | 0.630599i | \(-0.217191\pi\) | ||||
0.776109 | + | 0.630599i | \(0.217191\pi\) | |||||||
\(212\) | 21.7926 | 1.49672 | ||||||||
\(213\) | 22.9297 | 1.57112 | ||||||||
\(214\) | −32.9832 | −2.25468 | ||||||||
\(215\) | 32.0116 | 2.18317 | ||||||||
\(216\) | −27.6835 | −1.88362 | ||||||||
\(217\) | −2.99431 | −0.203267 | ||||||||
\(218\) | −39.0304 | −2.64347 | ||||||||
\(219\) | −26.2529 | −1.77401 | ||||||||
\(220\) | −49.8913 | −3.36367 | ||||||||
\(221\) | −3.73607 | −0.251315 | ||||||||
\(222\) | −12.4841 | −0.837879 | ||||||||
\(223\) | 18.4469 | 1.23529 | 0.617647 | − | 0.786456i | \(-0.288086\pi\) | ||||
0.617647 | + | 0.786456i | \(0.288086\pi\) | |||||||
\(224\) | −18.9283 | −1.26470 | ||||||||
\(225\) | 25.5718 | 1.70479 | ||||||||
\(226\) | −26.3399 | −1.75210 | ||||||||
\(227\) | −0.204980 | −0.0136050 | −0.00680249 | − | 0.999977i | \(-0.502165\pi\) | ||||
−0.00680249 | + | 0.999977i | \(0.502165\pi\) | |||||||
\(228\) | 64.0924 | 4.24462 | ||||||||
\(229\) | −8.18803 | −0.541080 | −0.270540 | − | 0.962709i | \(-0.587202\pi\) | ||||
−0.270540 | + | 0.962709i | \(0.587202\pi\) | |||||||
\(230\) | 29.2082 | 1.92593 | ||||||||
\(231\) | 2.58689 | 0.170205 | ||||||||
\(232\) | −74.2425 | −4.87426 | ||||||||
\(233\) | −6.56071 | −0.429806 | −0.214903 | − | 0.976635i | \(-0.568944\pi\) | ||||
−0.214903 | + | 0.976635i | \(0.568944\pi\) | |||||||
\(234\) | 3.32572 | 0.217409 | ||||||||
\(235\) | 6.97107 | 0.454742 | ||||||||
\(236\) | −44.0604 | −2.86809 | ||||||||
\(237\) | 3.66907 | 0.238332 | ||||||||
\(238\) | −9.89330 | −0.641287 | ||||||||
\(239\) | 6.48662 | 0.419585 | 0.209792 | − | 0.977746i | \(-0.432721\pi\) | ||||
0.209792 | + | 0.977746i | \(0.432721\pi\) | |||||||
\(240\) | −181.345 | −11.7058 | ||||||||
\(241\) | 4.47262 | 0.288107 | 0.144053 | − | 0.989570i | \(-0.453986\pi\) | ||||
0.144053 | + | 0.989570i | \(0.453986\pi\) | |||||||
\(242\) | 20.2162 | 1.29955 | ||||||||
\(243\) | 16.9256 | 1.08578 | ||||||||
\(244\) | −16.1519 | −1.03402 | ||||||||
\(245\) | −28.7828 | −1.83886 | ||||||||
\(246\) | −22.3638 | −1.42586 | ||||||||
\(247\) | 3.15151 | 0.200526 | ||||||||
\(248\) | 54.4843 | 3.45976 | ||||||||
\(249\) | 20.6543 | 1.30891 | ||||||||
\(250\) | −107.275 | −6.78468 | ||||||||
\(251\) | 13.0091 | 0.821126 | 0.410563 | − | 0.911832i | \(-0.365332\pi\) | ||||
0.410563 | + | 0.911832i | \(0.365332\pi\) | |||||||
\(252\) | 6.57640 | 0.414274 | ||||||||
\(253\) | 4.67620 | 0.293990 | ||||||||
\(254\) | 28.8515 | 1.81031 | ||||||||
\(255\) | −55.8673 | −3.49854 | ||||||||
\(256\) | 120.497 | 7.53107 | ||||||||
\(257\) | −2.41731 | −0.150788 | −0.0753938 | − | 0.997154i | \(-0.524021\pi\) | ||||
−0.0753938 | + | 0.997154i | \(0.524021\pi\) | |||||||
\(258\) | 45.7005 | 2.84519 | ||||||||
\(259\) | −1.21387 | −0.0754263 | ||||||||
\(260\) | −16.3357 | −1.01310 | ||||||||
\(261\) | 12.5578 | 0.777311 | ||||||||
\(262\) | −42.9013 | −2.65045 | ||||||||
\(263\) | 18.9696 | 1.16972 | 0.584858 | − | 0.811135i | \(-0.301150\pi\) | ||||
0.584858 | + | 0.811135i | \(0.301150\pi\) | |||||||
\(264\) | −47.0710 | −2.89702 | ||||||||
\(265\) | 16.0237 | 0.984329 | ||||||||
\(266\) | 8.34535 | 0.511686 | ||||||||
\(267\) | 5.92787 | 0.362780 | ||||||||
\(268\) | 82.3755 | 5.03189 | ||||||||
\(269\) | −13.6485 | −0.832163 | −0.416082 | − | 0.909327i | \(-0.636597\pi\) | ||||
−0.416082 | + | 0.909327i | \(0.636597\pi\) | |||||||
\(270\) | −30.8007 | −1.87447 | ||||||||
\(271\) | 7.35582 | 0.446834 | 0.223417 | − | 0.974723i | \(-0.428279\pi\) | ||||
0.223417 | + | 0.974723i | \(0.428279\pi\) | |||||||
\(272\) | 111.034 | 6.73245 | ||||||||
\(273\) | 0.847018 | 0.0512639 | ||||||||
\(274\) | −52.0869 | −3.14669 | ||||||||
\(275\) | −26.9294 | −1.62390 | ||||||||
\(276\) | 31.1383 | 1.87431 | ||||||||
\(277\) | 1.17446 | 0.0705664 | 0.0352832 | − | 0.999377i | \(-0.488767\pi\) | ||||
0.0352832 | + | 0.999377i | \(0.488767\pi\) | |||||||
\(278\) | 42.9407 | 2.57541 | ||||||||
\(279\) | −9.21582 | −0.551736 | ||||||||
\(280\) | −28.5877 | −1.70844 | ||||||||
\(281\) | −11.6490 | −0.694920 | −0.347460 | − | 0.937695i | \(-0.612956\pi\) | ||||
−0.347460 | + | 0.937695i | \(0.612956\pi\) | |||||||
\(282\) | 9.95206 | 0.592637 | ||||||||
\(283\) | 17.5045 | 1.04053 | 0.520266 | − | 0.854004i | \(-0.325833\pi\) | ||||
0.520266 | + | 0.854004i | \(0.325833\pi\) | |||||||
\(284\) | −61.3864 | −3.64262 | ||||||||
\(285\) | 47.1260 | 2.79150 | ||||||||
\(286\) | −3.50228 | −0.207094 | ||||||||
\(287\) | −2.17450 | −0.128357 | ||||||||
\(288\) | −58.2571 | −3.43283 | ||||||||
\(289\) | 17.2065 | 1.01215 | ||||||||
\(290\) | −82.6022 | −4.85057 | ||||||||
\(291\) | 35.9432 | 2.10703 | ||||||||
\(292\) | 70.2832 | 4.11301 | ||||||||
\(293\) | −8.30486 | −0.485175 | −0.242587 | − | 0.970130i | \(-0.577996\pi\) | ||||
−0.242587 | + | 0.970130i | \(0.577996\pi\) | |||||||
\(294\) | −41.0910 | −2.39647 | ||||||||
\(295\) | −32.3968 | −1.88622 | ||||||||
\(296\) | 22.0875 | 1.28381 | ||||||||
\(297\) | −4.93115 | −0.286135 | ||||||||
\(298\) | −49.1365 | −2.84640 | ||||||||
\(299\) | 1.53111 | 0.0885465 | ||||||||
\(300\) | −179.320 | −10.3531 | ||||||||
\(301\) | 4.44361 | 0.256125 | ||||||||
\(302\) | −6.71366 | −0.386328 | ||||||||
\(303\) | −32.5152 | −1.86795 | ||||||||
\(304\) | −93.6615 | −5.37185 | ||||||||
\(305\) | −11.8762 | −0.680030 | ||||||||
\(306\) | −30.4494 | −1.74068 | ||||||||
\(307\) | 25.1241 | 1.43391 | 0.716954 | − | 0.697121i | \(-0.245536\pi\) | ||||
0.716954 | + | 0.697121i | \(0.245536\pi\) | |||||||
\(308\) | −6.92553 | −0.394619 | ||||||||
\(309\) | −22.7821 | −1.29603 | ||||||||
\(310\) | 60.6192 | 3.44294 | ||||||||
\(311\) | 27.2114 | 1.54301 | 0.771507 | − | 0.636220i | \(-0.219503\pi\) | ||||
0.771507 | + | 0.636220i | \(0.219503\pi\) | |||||||
\(312\) | −15.4123 | −0.872550 | ||||||||
\(313\) | 27.0965 | 1.53158 | 0.765792 | − | 0.643089i | \(-0.222347\pi\) | ||||
0.765792 | + | 0.643089i | \(0.222347\pi\) | |||||||
\(314\) | 9.95947 | 0.562046 | ||||||||
\(315\) | 4.83551 | 0.272450 | ||||||||
\(316\) | −9.82268 | −0.552569 | ||||||||
\(317\) | 9.31869 | 0.523390 | 0.261695 | − | 0.965151i | \(-0.415719\pi\) | ||||
0.261695 | + | 0.965151i | \(0.415719\pi\) | |||||||
\(318\) | 22.8758 | 1.28281 | ||||||||
\(319\) | −13.2245 | −0.740431 | ||||||||
\(320\) | 218.555 | 12.2176 | ||||||||
\(321\) | −25.8546 | −1.44306 | ||||||||
\(322\) | 4.05446 | 0.225946 | ||||||||
\(323\) | −28.8544 | −1.60550 | ||||||||
\(324\) | −65.6127 | −3.64515 | ||||||||
\(325\) | −8.81741 | −0.489102 | ||||||||
\(326\) | 44.4732 | 2.46314 | ||||||||
\(327\) | −30.5948 | −1.69190 | ||||||||
\(328\) | 39.5672 | 2.18473 | ||||||||
\(329\) | 0.967671 | 0.0533494 | ||||||||
\(330\) | −52.3712 | −2.88294 | ||||||||
\(331\) | −30.3209 | −1.66659 | −0.833293 | − | 0.552832i | \(-0.813547\pi\) | ||||
−0.833293 | + | 0.552832i | \(0.813547\pi\) | |||||||
\(332\) | −55.2950 | −3.03471 | ||||||||
\(333\) | −3.73603 | −0.204733 | ||||||||
\(334\) | −20.3227 | −1.11201 | ||||||||
\(335\) | 60.5693 | 3.30925 | ||||||||
\(336\) | −25.1730 | −1.37330 | ||||||||
\(337\) | −27.6976 | −1.50878 | −0.754392 | − | 0.656424i | \(-0.772068\pi\) | ||||
−0.754392 | + | 0.656424i | \(0.772068\pi\) | |||||||
\(338\) | 35.3863 | 1.92476 | ||||||||
\(339\) | −20.6471 | −1.12140 | ||||||||
\(340\) | 149.566 | 8.11134 | ||||||||
\(341\) | 9.70507 | 0.525559 | ||||||||
\(342\) | 25.6851 | 1.38889 | ||||||||
\(343\) | −8.20890 | −0.443239 | ||||||||
\(344\) | −80.8557 | −4.35945 | ||||||||
\(345\) | 22.8954 | 1.23265 | ||||||||
\(346\) | −40.7531 | −2.19090 | ||||||||
\(347\) | −12.2633 | −0.658328 | −0.329164 | − | 0.944273i | \(-0.606767\pi\) | ||||
−0.329164 | + | 0.944273i | \(0.606767\pi\) | |||||||
\(348\) | −88.0608 | −4.72055 | ||||||||
\(349\) | 11.4521 | 0.613016 | 0.306508 | − | 0.951868i | \(-0.400839\pi\) | ||||
0.306508 | + | 0.951868i | \(0.400839\pi\) | |||||||
\(350\) | −23.3489 | −1.24805 | ||||||||
\(351\) | −1.61459 | −0.0861806 | ||||||||
\(352\) | 61.3499 | 3.26996 | ||||||||
\(353\) | 13.2465 | 0.705039 | 0.352519 | − | 0.935805i | \(-0.385325\pi\) | ||||
0.352519 | + | 0.935805i | \(0.385325\pi\) | |||||||
\(354\) | −46.2505 | −2.45819 | ||||||||
\(355\) | −45.1364 | −2.39559 | ||||||||
\(356\) | −15.8699 | −0.841101 | ||||||||
\(357\) | −7.75507 | −0.410442 | ||||||||
\(358\) | −55.5679 | −2.93685 | ||||||||
\(359\) | −8.99862 | −0.474929 | −0.237464 | − | 0.971396i | \(-0.576316\pi\) | ||||
−0.237464 | + | 0.971396i | \(0.576316\pi\) | |||||||
\(360\) | −87.9867 | −4.63731 | ||||||||
\(361\) | 5.33969 | 0.281036 | ||||||||
\(362\) | −8.81440 | −0.463275 | ||||||||
\(363\) | 15.8469 | 0.831747 | ||||||||
\(364\) | −2.26760 | −0.118855 | ||||||||
\(365\) | 51.6780 | 2.70495 | ||||||||
\(366\) | −16.9548 | −0.886240 | ||||||||
\(367\) | −8.65967 | −0.452031 | −0.226016 | − | 0.974124i | \(-0.572570\pi\) | ||||
−0.226016 | + | 0.974124i | \(0.572570\pi\) | |||||||
\(368\) | −45.5040 | −2.37206 | ||||||||
\(369\) | −6.69265 | −0.348405 | ||||||||
\(370\) | 24.5746 | 1.27757 | ||||||||
\(371\) | 2.22429 | 0.115479 | ||||||||
\(372\) | 64.6251 | 3.35065 | ||||||||
\(373\) | −0.483945 | −0.0250577 | −0.0125288 | − | 0.999922i | \(-0.503988\pi\) | ||||
−0.0125288 | + | 0.999922i | \(0.503988\pi\) | |||||||
\(374\) | 32.0659 | 1.65809 | ||||||||
\(375\) | −84.0900 | −4.34239 | ||||||||
\(376\) | −17.6077 | −0.908047 | ||||||||
\(377\) | −4.33007 | −0.223010 | ||||||||
\(378\) | −4.27552 | −0.219909 | ||||||||
\(379\) | −34.2709 | −1.76038 | −0.880190 | − | 0.474622i | \(-0.842585\pi\) | ||||
−0.880190 | + | 0.474622i | \(0.842585\pi\) | |||||||
\(380\) | −126.164 | −6.47207 | ||||||||
\(381\) | 22.6159 | 1.15865 | ||||||||
\(382\) | 28.4983 | 1.45810 | ||||||||
\(383\) | 3.82752 | 0.195577 | 0.0977885 | − | 0.995207i | \(-0.468823\pi\) | ||||
0.0977885 | + | 0.995207i | \(0.468823\pi\) | |||||||
\(384\) | 173.471 | 8.85240 | ||||||||
\(385\) | −5.09222 | −0.259524 | ||||||||
\(386\) | 60.6769 | 3.08837 | ||||||||
\(387\) | 13.6764 | 0.695213 | ||||||||
\(388\) | −96.2256 | −4.88512 | ||||||||
\(389\) | −4.10693 | −0.208230 | −0.104115 | − | 0.994565i | \(-0.533201\pi\) | ||||
−0.104115 | + | 0.994565i | \(0.533201\pi\) | |||||||
\(390\) | −17.1477 | −0.868309 | ||||||||
\(391\) | −14.0185 | −0.708944 | ||||||||
\(392\) | 72.7002 | 3.67192 | ||||||||
\(393\) | −33.6291 | −1.69636 | ||||||||
\(394\) | 30.5661 | 1.53990 | ||||||||
\(395\) | −7.22245 | −0.363401 | ||||||||
\(396\) | −21.3152 | −1.07113 | ||||||||
\(397\) | 12.4633 | 0.625513 | 0.312756 | − | 0.949833i | \(-0.398748\pi\) | ||||
0.312756 | + | 0.949833i | \(0.398748\pi\) | |||||||
\(398\) | 26.7997 | 1.34335 | ||||||||
\(399\) | 6.54168 | 0.327494 | ||||||||
\(400\) | 262.050 | 13.1025 | ||||||||
\(401\) | 37.5303 | 1.87417 | 0.937087 | − | 0.349096i | \(-0.113511\pi\) | ||||
0.937087 | + | 0.349096i | \(0.113511\pi\) | |||||||
\(402\) | 86.4701 | 4.31274 | ||||||||
\(403\) | 3.17770 | 0.158293 | ||||||||
\(404\) | 87.0483 | 4.33082 | ||||||||
\(405\) | −48.2439 | −2.39726 | ||||||||
\(406\) | −11.4662 | −0.569059 | ||||||||
\(407\) | 3.93437 | 0.195019 | ||||||||
\(408\) | 141.111 | 6.98603 | ||||||||
\(409\) | −17.7285 | −0.876620 | −0.438310 | − | 0.898824i | \(-0.644423\pi\) | ||||
−0.438310 | + | 0.898824i | \(0.644423\pi\) | |||||||
\(410\) | 44.0225 | 2.17411 | ||||||||
\(411\) | −40.8294 | −2.01397 | ||||||||
\(412\) | 60.9914 | 3.00483 | ||||||||
\(413\) | −4.49709 | −0.221287 | ||||||||
\(414\) | 12.4787 | 0.613296 | ||||||||
\(415\) | −40.6574 | −1.99579 | ||||||||
\(416\) | 20.0876 | 0.984875 | ||||||||
\(417\) | 33.6600 | 1.64833 | ||||||||
\(418\) | −27.0487 | −1.32300 | ||||||||
\(419\) | 20.0610 | 0.980043 | 0.490021 | − | 0.871710i | \(-0.336989\pi\) | ||||
0.490021 | + | 0.871710i | \(0.336989\pi\) | |||||||
\(420\) | −33.9086 | −1.65457 | ||||||||
\(421\) | −3.46014 | −0.168637 | −0.0843185 | − | 0.996439i | \(-0.526871\pi\) | ||||
−0.0843185 | + | 0.996439i | \(0.526871\pi\) | |||||||
\(422\) | −63.3631 | −3.08447 | ||||||||
\(423\) | 2.97828 | 0.144809 | ||||||||
\(424\) | −40.4731 | −1.96555 | ||||||||
\(425\) | 80.7299 | 3.91597 | ||||||||
\(426\) | −64.4378 | −3.12202 | ||||||||
\(427\) | −1.64857 | −0.0797797 | ||||||||
\(428\) | 69.2168 | 3.34572 | ||||||||
\(429\) | −2.74533 | −0.132546 | ||||||||
\(430\) | −89.9601 | −4.33826 | ||||||||
\(431\) | 34.9359 | 1.68280 | 0.841402 | − | 0.540410i | \(-0.181731\pi\) | ||||
0.841402 | + | 0.540410i | \(0.181731\pi\) | |||||||
\(432\) | 47.9850 | 2.30868 | ||||||||
\(433\) | −3.03823 | −0.146008 | −0.0730039 | − | 0.997332i | \(-0.523259\pi\) | ||||
−0.0730039 | + | 0.997332i | \(0.523259\pi\) | |||||||
\(434\) | 8.41470 | 0.403919 | ||||||||
\(435\) | −64.7495 | −3.10450 | ||||||||
\(436\) | 81.9072 | 3.92264 | ||||||||
\(437\) | 11.8251 | 0.565669 | ||||||||
\(438\) | 73.7767 | 3.52519 | ||||||||
\(439\) | −0.359735 | −0.0171692 | −0.00858462 | − | 0.999963i | \(-0.502733\pi\) | ||||
−0.00858462 | + | 0.999963i | \(0.502733\pi\) | |||||||
\(440\) | 92.6578 | 4.41729 | ||||||||
\(441\) | −12.2970 | −0.585570 | ||||||||
\(442\) | 10.4992 | 0.499398 | ||||||||
\(443\) | −4.85741 | −0.230783 | −0.115391 | − | 0.993320i | \(-0.536812\pi\) | ||||
−0.115391 | + | 0.993320i | \(0.536812\pi\) | |||||||
\(444\) | 26.1985 | 1.24333 | ||||||||
\(445\) | −11.6688 | −0.553156 | ||||||||
\(446\) | −51.8400 | −2.45470 | ||||||||
\(447\) | −38.5167 | −1.82178 | ||||||||
\(448\) | 30.3381 | 1.43334 | ||||||||
\(449\) | −9.62024 | −0.454007 | −0.227004 | − | 0.973894i | \(-0.572893\pi\) | ||||
−0.227004 | + | 0.973894i | \(0.572893\pi\) | |||||||
\(450\) | −71.8628 | −3.38765 | ||||||||
\(451\) | 7.04795 | 0.331875 | ||||||||
\(452\) | 55.2756 | 2.59994 | ||||||||
\(453\) | −5.26265 | −0.247261 | ||||||||
\(454\) | 0.576041 | 0.0270349 | ||||||||
\(455\) | −1.66733 | −0.0781656 | ||||||||
\(456\) | −119.032 | −5.57419 | ||||||||
\(457\) | 15.6366 | 0.731450 | 0.365725 | − | 0.930723i | \(-0.380821\pi\) | ||||
0.365725 | + | 0.930723i | \(0.380821\pi\) | |||||||
\(458\) | 23.0103 | 1.07520 | ||||||||
\(459\) | 14.7828 | 0.690001 | ||||||||
\(460\) | −61.2948 | −2.85788 | ||||||||
\(461\) | −25.1096 | −1.16947 | −0.584735 | − | 0.811225i | \(-0.698801\pi\) | ||||
−0.584735 | + | 0.811225i | \(0.698801\pi\) | |||||||
\(462\) | −7.26977 | −0.338221 | ||||||||
\(463\) | 30.8776 | 1.43500 | 0.717501 | − | 0.696557i | \(-0.245286\pi\) | ||||
0.717501 | + | 0.696557i | \(0.245286\pi\) | |||||||
\(464\) | 128.688 | 5.97417 | ||||||||
\(465\) | 47.5177 | 2.20358 | ||||||||
\(466\) | 18.4371 | 0.854084 | ||||||||
\(467\) | −3.11904 | −0.144332 | −0.0721660 | − | 0.997393i | \(-0.522991\pi\) | ||||
−0.0721660 | + | 0.997393i | \(0.522991\pi\) | |||||||
\(468\) | −6.97919 | −0.322613 | ||||||||
\(469\) | 8.40777 | 0.388235 | ||||||||
\(470\) | −19.5903 | −0.903634 | ||||||||
\(471\) | 7.80694 | 0.359725 | ||||||||
\(472\) | 81.8288 | 3.76647 | ||||||||
\(473\) | −14.4025 | −0.662228 | ||||||||
\(474\) | −10.3109 | −0.473597 | ||||||||
\(475\) | −68.0985 | −3.12457 | ||||||||
\(476\) | 20.7616 | 0.951605 | ||||||||
\(477\) | 6.84587 | 0.313451 | ||||||||
\(478\) | −18.2289 | −0.833771 | ||||||||
\(479\) | 20.0049 | 0.914049 | 0.457025 | − | 0.889454i | \(-0.348915\pi\) | ||||
0.457025 | + | 0.889454i | \(0.348915\pi\) | |||||||
\(480\) | 300.379 | 13.7104 | ||||||||
\(481\) | 1.28822 | 0.0587377 | ||||||||
\(482\) | −12.5691 | −0.572508 | ||||||||
\(483\) | 3.17817 | 0.144612 | ||||||||
\(484\) | −42.4247 | −1.92840 | ||||||||
\(485\) | −70.7530 | −3.21273 | ||||||||
\(486\) | −47.5650 | −2.15759 | ||||||||
\(487\) | −16.3250 | −0.739756 | −0.369878 | − | 0.929080i | \(-0.620600\pi\) | ||||
−0.369878 | + | 0.929080i | \(0.620600\pi\) | |||||||
\(488\) | 29.9973 | 1.35791 | ||||||||
\(489\) | 34.8613 | 1.57648 | ||||||||
\(490\) | 80.8863 | 3.65407 | ||||||||
\(491\) | 35.3819 | 1.59676 | 0.798382 | − | 0.602152i | \(-0.205690\pi\) | ||||
0.798382 | + | 0.602152i | \(0.205690\pi\) | |||||||
\(492\) | 46.9316 | 2.11584 | ||||||||
\(493\) | 39.6449 | 1.78552 | ||||||||
\(494\) | −8.85648 | −0.398472 | ||||||||
\(495\) | −15.6727 | −0.704437 | ||||||||
\(496\) | −94.4399 | −4.24047 | ||||||||
\(497\) | −6.26549 | −0.281046 | ||||||||
\(498\) | −58.0435 | −2.60099 | ||||||||
\(499\) | −13.6407 | −0.610641 | −0.305321 | − | 0.952250i | \(-0.598764\pi\) | ||||
−0.305321 | + | 0.952250i | \(0.598764\pi\) | |||||||
\(500\) | 225.122 | 10.0678 | ||||||||
\(501\) | −15.9304 | −0.711718 | ||||||||
\(502\) | −36.5586 | −1.63169 | ||||||||
\(503\) | −7.74060 | −0.345136 | −0.172568 | − | 0.984998i | \(-0.555206\pi\) | ||||
−0.172568 | + | 0.984998i | \(0.555206\pi\) | |||||||
\(504\) | −12.2137 | −0.544039 | ||||||||
\(505\) | 64.0051 | 2.84819 | ||||||||
\(506\) | −13.1412 | −0.584198 | ||||||||
\(507\) | 27.7383 | 1.23190 | ||||||||
\(508\) | −60.5464 | −2.68631 | ||||||||
\(509\) | −6.80080 | −0.301440 | −0.150720 | − | 0.988576i | \(-0.548159\pi\) | ||||
−0.150720 | + | 0.988576i | \(0.548159\pi\) | |||||||
\(510\) | 157.000 | 6.95208 | ||||||||
\(511\) | 7.17355 | 0.317339 | ||||||||
\(512\) | −181.129 | −8.00485 | ||||||||
\(513\) | −12.4698 | −0.550555 | ||||||||
\(514\) | 6.79320 | 0.299635 | ||||||||
\(515\) | 44.8459 | 1.97615 | ||||||||
\(516\) | −95.9048 | −4.22197 | ||||||||
\(517\) | −3.13639 | −0.137938 | ||||||||
\(518\) | 3.41126 | 0.149882 | ||||||||
\(519\) | −31.9452 | −1.40224 | ||||||||
\(520\) | 30.3387 | 1.33044 | ||||||||
\(521\) | −2.82595 | −0.123807 | −0.0619036 | − | 0.998082i | \(-0.519717\pi\) | ||||
−0.0619036 | + | 0.998082i | \(0.519717\pi\) | |||||||
\(522\) | −35.2905 | −1.54462 | ||||||||
\(523\) | 35.6118 | 1.55719 | 0.778597 | − | 0.627524i | \(-0.215932\pi\) | ||||
0.778597 | + | 0.627524i | \(0.215932\pi\) | |||||||
\(524\) | 90.0305 | 3.93300 | ||||||||
\(525\) | −18.3026 | −0.798789 | ||||||||
\(526\) | −53.3091 | −2.32439 | ||||||||
\(527\) | −29.0942 | −1.26736 | ||||||||
\(528\) | 81.5901 | 3.55075 | ||||||||
\(529\) | −17.2550 | −0.750216 | ||||||||
\(530\) | −45.0304 | −1.95599 | ||||||||
\(531\) | −13.8410 | −0.600650 | ||||||||
\(532\) | −17.5131 | −0.759290 | ||||||||
\(533\) | 2.30769 | 0.0999570 | ||||||||
\(534\) | −16.6587 | −0.720893 | ||||||||
\(535\) | 50.8939 | 2.20034 | ||||||||
\(536\) | −152.987 | −6.60805 | ||||||||
\(537\) | −43.5581 | −1.87967 | ||||||||
\(538\) | 38.3555 | 1.65362 | ||||||||
\(539\) | 12.9498 | 0.557788 | ||||||||
\(540\) | 64.6368 | 2.78152 | ||||||||
\(541\) | 6.24023 | 0.268288 | 0.134144 | − | 0.990962i | \(-0.457171\pi\) | ||||
0.134144 | + | 0.990962i | \(0.457171\pi\) | |||||||
\(542\) | −20.6716 | −0.887920 | ||||||||
\(543\) | −6.90935 | −0.296509 | ||||||||
\(544\) | −183.917 | −7.88536 | ||||||||
\(545\) | 60.2249 | 2.57975 | ||||||||
\(546\) | −2.38032 | −0.101868 | ||||||||
\(547\) | −0.777847 | −0.0332583 | −0.0166292 | − | 0.999862i | \(-0.505293\pi\) | ||||
−0.0166292 | + | 0.999862i | \(0.505293\pi\) | |||||||
\(548\) | 109.307 | 4.66936 | ||||||||
\(549\) | −5.07392 | −0.216550 | ||||||||
\(550\) | 75.6779 | 3.22692 | ||||||||
\(551\) | −33.4419 | −1.42467 | ||||||||
\(552\) | −57.8299 | −2.46140 | ||||||||
\(553\) | −1.00257 | −0.0426334 | ||||||||
\(554\) | −3.30050 | −0.140225 | ||||||||
\(555\) | 19.2633 | 0.817683 | ||||||||
\(556\) | −90.1131 | −3.82165 | ||||||||
\(557\) | −0.518257 | −0.0219593 | −0.0109796 | − | 0.999940i | \(-0.503495\pi\) | ||||
−0.0109796 | + | 0.999940i | \(0.503495\pi\) | |||||||
\(558\) | 25.8986 | 1.09638 | ||||||||
\(559\) | −4.71577 | −0.199456 | ||||||||
\(560\) | 49.5523 | 2.09397 | ||||||||
\(561\) | 25.1355 | 1.06122 | ||||||||
\(562\) | 32.7364 | 1.38090 | ||||||||
\(563\) | 5.23265 | 0.220530 | 0.110265 | − | 0.993902i | \(-0.464830\pi\) | ||||
0.110265 | + | 0.993902i | \(0.464830\pi\) | |||||||
\(564\) | −20.8849 | −0.879413 | ||||||||
\(565\) | 40.6432 | 1.70987 | ||||||||
\(566\) | −49.1916 | −2.06768 | ||||||||
\(567\) | −6.69685 | −0.281241 | ||||||||
\(568\) | 114.007 | 4.78361 | ||||||||
\(569\) | −22.6443 | −0.949299 | −0.474650 | − | 0.880175i | \(-0.657425\pi\) | ||||
−0.474650 | + | 0.880175i | \(0.657425\pi\) | |||||||
\(570\) | −132.435 | −5.54710 | ||||||||
\(571\) | 16.8049 | 0.703263 | 0.351632 | − | 0.936138i | \(-0.385627\pi\) | ||||
0.351632 | + | 0.936138i | \(0.385627\pi\) | |||||||
\(572\) | 7.34970 | 0.307306 | ||||||||
\(573\) | 22.3390 | 0.933227 | ||||||||
\(574\) | 6.11087 | 0.255063 | ||||||||
\(575\) | −33.0846 | −1.37972 | ||||||||
\(576\) | 93.3740 | 3.89058 | ||||||||
\(577\) | −12.1208 | −0.504594 | −0.252297 | − | 0.967650i | \(-0.581186\pi\) | ||||
−0.252297 | + | 0.967650i | \(0.581186\pi\) | |||||||
\(578\) | −48.3543 | −2.01127 | ||||||||
\(579\) | 47.5629 | 1.97665 | ||||||||
\(580\) | 173.345 | 7.19776 | ||||||||
\(581\) | −5.64376 | −0.234142 | ||||||||
\(582\) | −101.009 | −4.18695 | ||||||||
\(583\) | −7.20931 | −0.298579 | ||||||||
\(584\) | −130.530 | −5.40135 | ||||||||
\(585\) | −5.13167 | −0.212169 | ||||||||
\(586\) | 23.3386 | 0.964108 | ||||||||
\(587\) | −8.08414 | −0.333668 | −0.166834 | − | 0.985985i | \(-0.553354\pi\) | ||||
−0.166834 | + | 0.985985i | \(0.553354\pi\) | |||||||
\(588\) | 86.2314 | 3.55612 | ||||||||
\(589\) | 24.5420 | 1.01123 | ||||||||
\(590\) | 91.0427 | 3.74817 | ||||||||
\(591\) | 23.9599 | 0.985578 | ||||||||
\(592\) | −38.2853 | −1.57351 | ||||||||
\(593\) | 22.8739 | 0.939320 | 0.469660 | − | 0.882847i | \(-0.344376\pi\) | ||||
0.469660 | + | 0.882847i | \(0.344376\pi\) | |||||||
\(594\) | 13.8577 | 0.568588 | ||||||||
\(595\) | 15.2656 | 0.625830 | ||||||||
\(596\) | 103.115 | 4.22377 | ||||||||
\(597\) | 21.0075 | 0.859780 | ||||||||
\(598\) | −4.30278 | −0.175954 | ||||||||
\(599\) | −13.0049 | −0.531367 | −0.265683 | − | 0.964060i | \(-0.585598\pi\) | ||||
−0.265683 | + | 0.964060i | \(0.585598\pi\) | |||||||
\(600\) | 333.032 | 13.5960 | ||||||||
\(601\) | 40.3384 | 1.64544 | 0.822718 | − | 0.568450i | \(-0.192457\pi\) | ||||
0.822718 | + | 0.568450i | \(0.192457\pi\) | |||||||
\(602\) | −12.4876 | −0.508956 | ||||||||
\(603\) | 25.8773 | 1.05380 | ||||||||
\(604\) | 14.0890 | 0.573271 | ||||||||
\(605\) | −31.1942 | −1.26822 | ||||||||
\(606\) | 91.3752 | 3.71187 | ||||||||
\(607\) | −32.0494 | −1.30084 | −0.650422 | − | 0.759573i | \(-0.725408\pi\) | ||||
−0.650422 | + | 0.759573i | \(0.725408\pi\) | |||||||
\(608\) | 155.140 | 6.29177 | ||||||||
\(609\) | −8.98804 | −0.364214 | ||||||||
\(610\) | 33.3750 | 1.35131 | ||||||||
\(611\) | −1.02694 | −0.0415455 | ||||||||
\(612\) | 63.8996 | 2.58299 | ||||||||
\(613\) | −38.7926 | −1.56682 | −0.783410 | − | 0.621505i | \(-0.786521\pi\) | ||||
−0.783410 | + | 0.621505i | \(0.786521\pi\) | |||||||
\(614\) | −70.6046 | −2.84937 | ||||||||
\(615\) | 34.5080 | 1.39150 | ||||||||
\(616\) | 12.8621 | 0.518227 | ||||||||
\(617\) | 31.8709 | 1.28307 | 0.641537 | − | 0.767092i | \(-0.278297\pi\) | ||||
0.641537 | + | 0.767092i | \(0.278297\pi\) | |||||||
\(618\) | 64.0231 | 2.57539 | ||||||||
\(619\) | −1.26527 | −0.0508555 | −0.0254278 | − | 0.999677i | \(-0.508095\pi\) | ||||
−0.0254278 | + | 0.999677i | \(0.508095\pi\) | |||||||
\(620\) | −127.212 | −5.10898 | ||||||||
\(621\) | −6.05826 | −0.243109 | ||||||||
\(622\) | −76.4703 | −3.06618 | ||||||||
\(623\) | −1.61978 | −0.0648951 | ||||||||
\(624\) | 26.7148 | 1.06945 | ||||||||
\(625\) | 96.5125 | 3.86050 | ||||||||
\(626\) | −76.1474 | −3.04346 | ||||||||
\(627\) | −21.2027 | −0.846755 | ||||||||
\(628\) | −20.9004 | −0.834019 | ||||||||
\(629\) | −11.7946 | −0.470281 | ||||||||
\(630\) | −13.5889 | −0.541395 | ||||||||
\(631\) | −0.820938 | −0.0326810 | −0.0163405 | − | 0.999866i | \(-0.505202\pi\) | ||||
−0.0163405 | + | 0.999866i | \(0.505202\pi\) | |||||||
\(632\) | 18.2426 | 0.725653 | ||||||||
\(633\) | −49.6685 | −1.97415 | ||||||||
\(634\) | −26.1877 | −1.04005 | ||||||||
\(635\) | −44.5187 | −1.76667 | ||||||||
\(636\) | −48.0061 | −1.90356 | ||||||||
\(637\) | 4.24011 | 0.167999 | ||||||||
\(638\) | 37.1640 | 1.47134 | ||||||||
\(639\) | −19.2838 | −0.762855 | ||||||||
\(640\) | −341.472 | −13.4979 | ||||||||
\(641\) | 4.19240 | 0.165590 | 0.0827950 | − | 0.996567i | \(-0.473615\pi\) | ||||
0.0827950 | + | 0.996567i | \(0.473615\pi\) | |||||||
\(642\) | 72.6574 | 2.86756 | ||||||||
\(643\) | −22.8109 | −0.899573 | −0.449787 | − | 0.893136i | \(-0.648500\pi\) | ||||
−0.449787 | + | 0.893136i | \(0.648500\pi\) | |||||||
\(644\) | −8.50848 | −0.335281 | ||||||||
\(645\) | −70.5171 | −2.77661 | ||||||||
\(646\) | 81.0876 | 3.19035 | ||||||||
\(647\) | 10.7325 | 0.421940 | 0.210970 | − | 0.977493i | \(-0.432338\pi\) | ||||
0.210970 | + | 0.977493i | \(0.432338\pi\) | |||||||
\(648\) | 121.856 | 4.78694 | ||||||||
\(649\) | 14.5758 | 0.572152 | ||||||||
\(650\) | 24.7790 | 0.971912 | ||||||||
\(651\) | 6.59604 | 0.258519 | ||||||||
\(652\) | −93.3292 | −3.65506 | ||||||||
\(653\) | −46.7824 | −1.83074 | −0.915368 | − | 0.402619i | \(-0.868100\pi\) | ||||
−0.915368 | + | 0.402619i | \(0.868100\pi\) | |||||||
\(654\) | 85.9785 | 3.36203 | ||||||||
\(655\) | 66.1979 | 2.58656 | ||||||||
\(656\) | −68.5835 | −2.67773 | ||||||||
\(657\) | 22.0786 | 0.861368 | ||||||||
\(658\) | −2.71938 | −0.106013 | ||||||||
\(659\) | −40.8992 | −1.59321 | −0.796604 | − | 0.604502i | \(-0.793372\pi\) | ||||
−0.796604 | + | 0.604502i | \(0.793372\pi\) | |||||||
\(660\) | 109.904 | 4.27799 | ||||||||
\(661\) | −32.0598 | −1.24698 | −0.623491 | − | 0.781830i | \(-0.714286\pi\) | ||||
−0.623491 | + | 0.781830i | \(0.714286\pi\) | |||||||
\(662\) | 85.2087 | 3.31173 | ||||||||
\(663\) | 8.23005 | 0.319629 | ||||||||
\(664\) | 102.694 | 3.98528 | ||||||||
\(665\) | −12.8771 | −0.499352 | ||||||||
\(666\) | 10.4991 | 0.406832 | ||||||||
\(667\) | −16.2472 | −0.629095 | ||||||||
\(668\) | 42.6482 | 1.65011 | ||||||||
\(669\) | −40.6359 | −1.57107 | ||||||||
\(670\) | −170.214 | −6.57593 | ||||||||
\(671\) | 5.34329 | 0.206276 | ||||||||
\(672\) | 41.6964 | 1.60847 | ||||||||
\(673\) | 5.46201 | 0.210545 | 0.105273 | − | 0.994443i | \(-0.466428\pi\) | ||||
0.105273 | + | 0.994443i | \(0.466428\pi\) | |||||||
\(674\) | 77.8367 | 2.99816 | ||||||||
\(675\) | 34.8885 | 1.34286 | ||||||||
\(676\) | −74.2599 | −2.85615 | ||||||||
\(677\) | 15.5063 | 0.595956 | 0.297978 | − | 0.954573i | \(-0.403688\pi\) | ||||
0.297978 | + | 0.954573i | \(0.403688\pi\) | |||||||
\(678\) | 58.0231 | 2.22837 | ||||||||
\(679\) | −9.82140 | −0.376911 | ||||||||
\(680\) | −277.773 | −10.6521 | ||||||||
\(681\) | 0.451542 | 0.0173031 | ||||||||
\(682\) | −27.2735 | −1.04436 | ||||||||
\(683\) | −11.5023 | −0.440124 | −0.220062 | − | 0.975486i | \(-0.570626\pi\) | ||||
−0.220062 | + | 0.975486i | \(0.570626\pi\) | |||||||
\(684\) | −53.9015 | −2.06098 | ||||||||
\(685\) | 80.3715 | 3.07084 | ||||||||
\(686\) | 23.0689 | 0.880776 | ||||||||
\(687\) | 18.0371 | 0.688158 | ||||||||
\(688\) | 140.151 | 5.34319 | ||||||||
\(689\) | −2.36052 | −0.0899287 | ||||||||
\(690\) | −64.3416 | −2.44944 | ||||||||
\(691\) | −44.0188 | −1.67455 | −0.837277 | − | 0.546778i | \(-0.815854\pi\) | ||||
−0.837277 | + | 0.546778i | \(0.815854\pi\) | |||||||
\(692\) | 85.5224 | 3.25107 | ||||||||
\(693\) | −2.17557 | −0.0826431 | ||||||||
\(694\) | 34.4627 | 1.30819 | ||||||||
\(695\) | −66.2586 | −2.51333 | ||||||||
\(696\) | 163.546 | 6.19920 | ||||||||
\(697\) | −21.1286 | −0.800302 | ||||||||
\(698\) | −32.1830 | −1.21815 | ||||||||
\(699\) | 14.4523 | 0.546638 | ||||||||
\(700\) | 48.9989 | 1.85198 | ||||||||
\(701\) | 36.4824 | 1.37792 | 0.688960 | − | 0.724799i | \(-0.258067\pi\) | ||||
0.688960 | + | 0.724799i | \(0.258067\pi\) | |||||||
\(702\) | 4.53738 | 0.171252 | ||||||||
\(703\) | 9.94914 | 0.375239 | ||||||||
\(704\) | −98.3311 | −3.70599 | ||||||||
\(705\) | −15.3563 | −0.578352 | ||||||||
\(706\) | −37.2257 | −1.40101 | ||||||||
\(707\) | 8.88471 | 0.334144 | ||||||||
\(708\) | 97.0590 | 3.64770 | ||||||||
\(709\) | 27.8191 | 1.04477 | 0.522385 | − | 0.852710i | \(-0.325042\pi\) | ||||
0.522385 | + | 0.852710i | \(0.325042\pi\) | |||||||
\(710\) | 126.844 | 4.76036 | ||||||||
\(711\) | −3.08568 | −0.115722 | ||||||||
\(712\) | 29.4734 | 1.10456 | ||||||||
\(713\) | 11.9233 | 0.446532 | ||||||||
\(714\) | 21.7936 | 0.815604 | ||||||||
\(715\) | 5.40411 | 0.202102 | ||||||||
\(716\) | 116.612 | 4.35799 | ||||||||
\(717\) | −14.2891 | −0.533637 | ||||||||
\(718\) | 25.2882 | 0.943748 | ||||||||
\(719\) | −24.1092 | −0.899121 | −0.449561 | − | 0.893250i | \(-0.648419\pi\) | ||||
−0.449561 | + | 0.893250i | \(0.648419\pi\) | |||||||
\(720\) | 152.511 | 5.68375 | ||||||||
\(721\) | 6.22517 | 0.231837 | ||||||||
\(722\) | −15.0058 | −0.558458 | ||||||||
\(723\) | −9.85257 | −0.366421 | ||||||||
\(724\) | 18.4975 | 0.687452 | ||||||||
\(725\) | 93.5650 | 3.47492 | ||||||||
\(726\) | −44.5335 | −1.65279 | ||||||||
\(727\) | −3.39388 | −0.125872 | −0.0629360 | − | 0.998018i | \(-0.520046\pi\) | ||||
−0.0629360 | + | 0.998018i | \(0.520046\pi\) | |||||||
\(728\) | 4.21138 | 0.156084 | ||||||||
\(729\) | −3.90782 | −0.144734 | ||||||||
\(730\) | −145.227 | −5.37510 | ||||||||
\(731\) | 43.1763 | 1.59693 | ||||||||
\(732\) | 35.5804 | 1.31509 | ||||||||
\(733\) | 0.368534 | 0.0136121 | 0.00680606 | − | 0.999977i | \(-0.497834\pi\) | ||||
0.00680606 | + | 0.999977i | \(0.497834\pi\) | |||||||
\(734\) | 24.3357 | 0.898247 | ||||||||
\(735\) | 63.4045 | 2.33871 | ||||||||
\(736\) | 75.3725 | 2.77827 | ||||||||
\(737\) | −27.2510 | −1.00381 | ||||||||
\(738\) | 18.8079 | 0.692328 | ||||||||
\(739\) | −9.68622 | −0.356313 | −0.178157 | − | 0.984002i | \(-0.557013\pi\) | ||||
−0.178157 | + | 0.984002i | \(0.557013\pi\) | |||||||
\(740\) | −51.5710 | −1.89579 | ||||||||
\(741\) | −6.94234 | −0.255033 | ||||||||
\(742\) | −6.25078 | −0.229473 | ||||||||
\(743\) | 25.7129 | 0.943315 | 0.471657 | − | 0.881782i | \(-0.343656\pi\) | ||||
0.471657 | + | 0.881782i | \(0.343656\pi\) | |||||||
\(744\) | −120.021 | −4.40020 | ||||||||
\(745\) | 75.8189 | 2.77779 | ||||||||
\(746\) | 1.36000 | 0.0497930 | ||||||||
\(747\) | −17.3702 | −0.635544 | ||||||||
\(748\) | −67.2919 | −2.46044 | ||||||||
\(749\) | 7.06471 | 0.258139 | ||||||||
\(750\) | 236.313 | 8.62891 | ||||||||
\(751\) | 0.560399 | 0.0204493 | 0.0102246 | − | 0.999948i | \(-0.496745\pi\) | ||||
0.0102246 | + | 0.999948i | \(0.496745\pi\) | |||||||
\(752\) | 30.5201 | 1.11296 | ||||||||
\(753\) | −28.6572 | −1.04433 | ||||||||
\(754\) | 12.1685 | 0.443151 | ||||||||
\(755\) | 10.3594 | 0.377016 | ||||||||
\(756\) | 8.97239 | 0.326323 | ||||||||
\(757\) | −4.20040 | −0.152666 | −0.0763330 | − | 0.997082i | \(-0.524321\pi\) | ||||
−0.0763330 | + | 0.997082i | \(0.524321\pi\) | |||||||
\(758\) | 96.3093 | 3.49811 | ||||||||
\(759\) | −10.3010 | −0.373903 | ||||||||
\(760\) | 234.311 | 8.49936 | ||||||||
\(761\) | 44.1877 | 1.60180 | 0.800902 | − | 0.598796i | \(-0.204354\pi\) | ||||
0.800902 | + | 0.598796i | \(0.204354\pi\) | |||||||
\(762\) | −63.5560 | −2.30239 | ||||||||
\(763\) | 8.35997 | 0.302651 | ||||||||
\(764\) | −59.8052 | −2.16368 | ||||||||
\(765\) | 46.9842 | 1.69872 | ||||||||
\(766\) | −10.7562 | −0.388638 | ||||||||
\(767\) | 4.77252 | 0.172326 | ||||||||
\(768\) | −265.438 | −9.57819 | ||||||||
\(769\) | −1.36477 | −0.0492148 | −0.0246074 | − | 0.999697i | \(-0.507834\pi\) | ||||
−0.0246074 | + | 0.999697i | \(0.507834\pi\) | |||||||
\(770\) | 14.3103 | 0.515708 | ||||||||
\(771\) | 5.32500 | 0.191775 | ||||||||
\(772\) | −127.334 | −4.58283 | ||||||||
\(773\) | 7.34616 | 0.264223 | 0.132112 | − | 0.991235i | \(-0.457824\pi\) | ||||
0.132112 | + | 0.991235i | \(0.457824\pi\) | |||||||
\(774\) | −38.4340 | −1.38148 | ||||||||
\(775\) | −68.6644 | −2.46650 | ||||||||
\(776\) | 178.710 | 6.41531 | ||||||||
\(777\) | 2.67399 | 0.0959289 | ||||||||
\(778\) | 11.5414 | 0.413781 | ||||||||
\(779\) | 17.8227 | 0.638565 | ||||||||
\(780\) | 35.9854 | 1.28848 | ||||||||
\(781\) | 20.3075 | 0.726661 | ||||||||
\(782\) | 39.3951 | 1.40877 | ||||||||
\(783\) | 17.1331 | 0.612286 | ||||||||
\(784\) | −126.014 | −4.50051 | ||||||||
\(785\) | −15.3677 | −0.548498 | ||||||||
\(786\) | 94.5057 | 3.37091 | ||||||||
\(787\) | −28.2164 | −1.00581 | −0.502903 | − | 0.864343i | \(-0.667735\pi\) | ||||
−0.502903 | + | 0.864343i | \(0.667735\pi\) | |||||||
\(788\) | −64.1445 | −2.28505 | ||||||||
\(789\) | −41.7875 | −1.48767 | ||||||||
\(790\) | 20.2968 | 0.722127 | ||||||||
\(791\) | 5.64178 | 0.200598 | ||||||||
\(792\) | 39.5866 | 1.40665 | ||||||||
\(793\) | 1.74954 | 0.0621279 | ||||||||
\(794\) | −35.0247 | −1.24298 | ||||||||
\(795\) | −35.2980 | −1.25189 | ||||||||
\(796\) | −56.2405 | −1.99339 | ||||||||
\(797\) | 9.54848 | 0.338225 | 0.169112 | − | 0.985597i | \(-0.445910\pi\) | ||||
0.169112 | + | 0.985597i | \(0.445910\pi\) | |||||||
\(798\) | −18.3836 | −0.650774 | ||||||||
\(799\) | 9.40237 | 0.332632 | ||||||||
\(800\) | −434.057 | −15.3462 | ||||||||
\(801\) | −4.98533 | −0.176148 | ||||||||
\(802\) | −105.469 | −3.72424 | ||||||||
\(803\) | −23.2507 | −0.820500 | ||||||||
\(804\) | −181.462 | −6.39967 | ||||||||
\(805\) | −6.25614 | −0.220500 | ||||||||
\(806\) | −8.93008 | −0.314549 | ||||||||
\(807\) | 30.0657 | 1.05836 | ||||||||
\(808\) | −161.666 | −5.68738 | ||||||||
\(809\) | −9.45189 | −0.332311 | −0.166155 | − | 0.986100i | \(-0.553135\pi\) | ||||
−0.166155 | + | 0.986100i | \(0.553135\pi\) | |||||||
\(810\) | 135.577 | 4.76368 | ||||||||
\(811\) | 31.5941 | 1.10942 | 0.554709 | − | 0.832044i | \(-0.312830\pi\) | ||||
0.554709 | + | 0.832044i | \(0.312830\pi\) | |||||||
\(812\) | 24.0624 | 0.844426 | ||||||||
\(813\) | −16.2038 | −0.568294 | ||||||||
\(814\) | −11.0565 | −0.387530 | ||||||||
\(815\) | −68.6234 | −2.40377 | ||||||||
\(816\) | −244.594 | −8.56249 | ||||||||
\(817\) | −36.4207 | −1.27420 | ||||||||
\(818\) | 49.8213 | 1.74196 | ||||||||
\(819\) | −0.712340 | −0.0248912 | ||||||||
\(820\) | −92.3833 | −3.22617 | ||||||||
\(821\) | −6.17822 | −0.215621 | −0.107811 | − | 0.994171i | \(-0.534384\pi\) | ||||
−0.107811 | + | 0.994171i | \(0.534384\pi\) | |||||||
\(822\) | 114.740 | 4.00203 | ||||||||
\(823\) | 53.9967 | 1.88221 | 0.941103 | − | 0.338120i | \(-0.109791\pi\) | ||||
0.941103 | + | 0.338120i | \(0.109791\pi\) | |||||||
\(824\) | −113.273 | −3.94605 | ||||||||
\(825\) | 59.3218 | 2.06532 | ||||||||
\(826\) | 12.6379 | 0.439727 | ||||||||
\(827\) | −2.17653 | −0.0756853 | −0.0378426 | − | 0.999284i | \(-0.512049\pi\) | ||||
−0.0378426 | + | 0.999284i | \(0.512049\pi\) | |||||||
\(828\) | −26.1872 | −0.910069 | ||||||||
\(829\) | 10.3874 | 0.360771 | 0.180385 | − | 0.983596i | \(-0.442265\pi\) | ||||
0.180385 | + | 0.983596i | \(0.442265\pi\) | |||||||
\(830\) | 114.257 | 3.96591 | ||||||||
\(831\) | −2.58717 | −0.0897480 | ||||||||
\(832\) | −32.1962 | −1.11620 | ||||||||
\(833\) | −38.8214 | −1.34508 | ||||||||
\(834\) | −94.5923 | −3.27547 | ||||||||
\(835\) | 31.3585 | 1.08521 | ||||||||
\(836\) | 56.7631 | 1.96319 | ||||||||
\(837\) | −12.5734 | −0.434601 | ||||||||
\(838\) | −56.3760 | −1.94748 | ||||||||
\(839\) | −12.7492 | −0.440153 | −0.220076 | − | 0.975483i | \(-0.570631\pi\) | ||||
−0.220076 | + | 0.975483i | \(0.570631\pi\) | |||||||
\(840\) | 62.9748 | 2.17284 | ||||||||
\(841\) | 16.9480 | 0.584414 | ||||||||
\(842\) | 9.72381 | 0.335105 | ||||||||
\(843\) | 25.6611 | 0.883815 | ||||||||
\(844\) | 132.971 | 4.57704 | ||||||||
\(845\) | −54.6020 | −1.87837 | ||||||||
\(846\) | −8.36966 | −0.287755 | ||||||||
\(847\) | −4.33014 | −0.148785 | ||||||||
\(848\) | 70.1537 | 2.40909 | ||||||||
\(849\) | −38.5599 | −1.32337 | ||||||||
\(850\) | −226.870 | −7.78157 | ||||||||
\(851\) | 4.83364 | 0.165695 | ||||||||
\(852\) | 135.226 | 4.63276 | ||||||||
\(853\) | 23.4556 | 0.803106 | 0.401553 | − | 0.915836i | \(-0.368471\pi\) | ||||
0.401553 | + | 0.915836i | \(0.368471\pi\) | |||||||
\(854\) | 4.63286 | 0.158533 | ||||||||
\(855\) | −39.6329 | −1.35542 | ||||||||
\(856\) | −128.549 | −4.39372 | ||||||||
\(857\) | −9.48708 | −0.324073 | −0.162036 | − | 0.986785i | \(-0.551806\pi\) | ||||
−0.162036 | + | 0.986785i | \(0.551806\pi\) | |||||||
\(858\) | 7.71503 | 0.263387 | ||||||||
\(859\) | 41.0539 | 1.40074 | 0.700371 | − | 0.713779i | \(-0.253018\pi\) | ||||
0.700371 | + | 0.713779i | \(0.253018\pi\) | |||||||
\(860\) | 188.786 | 6.43754 | ||||||||
\(861\) | 4.79013 | 0.163247 | ||||||||
\(862\) | −98.1781 | −3.34396 | ||||||||
\(863\) | 19.8301 | 0.675024 | 0.337512 | − | 0.941321i | \(-0.390415\pi\) | ||||
0.337512 | + | 0.941321i | \(0.390415\pi\) | |||||||
\(864\) | −79.4820 | −2.70403 | ||||||||
\(865\) | 62.8831 | 2.13809 | ||||||||
\(866\) | 8.53813 | 0.290137 | ||||||||
\(867\) | −37.9035 | −1.28727 | ||||||||
\(868\) | −17.6587 | −0.599374 | ||||||||
\(869\) | 3.24949 | 0.110231 | ||||||||
\(870\) | 181.961 | 6.16907 | ||||||||
\(871\) | −8.92272 | −0.302335 | ||||||||
\(872\) | −152.118 | −5.15135 | ||||||||
\(873\) | −30.2281 | −1.02307 | ||||||||
\(874\) | −33.2312 | −1.12406 | ||||||||
\(875\) | 22.9774 | 0.776779 | ||||||||
\(876\) | −154.824 | −5.23102 | ||||||||
\(877\) | 2.01793 | 0.0681407 | 0.0340704 | − | 0.999419i | \(-0.489153\pi\) | ||||
0.0340704 | + | 0.999419i | \(0.489153\pi\) | |||||||
\(878\) | 1.01094 | 0.0341176 | ||||||||
\(879\) | 18.2944 | 0.617056 | ||||||||
\(880\) | −160.608 | −5.41408 | ||||||||
\(881\) | 23.6623 | 0.797203 | 0.398602 | − | 0.917124i | \(-0.369496\pi\) | ||||
0.398602 | + | 0.917124i | \(0.369496\pi\) | |||||||
\(882\) | 34.5574 | 1.16361 | ||||||||
\(883\) | 4.87025 | 0.163897 | 0.0819484 | − | 0.996637i | \(-0.473886\pi\) | ||||
0.0819484 | + | 0.996637i | \(0.473886\pi\) | |||||||
\(884\) | −22.0332 | −0.741056 | ||||||||
\(885\) | 71.3658 | 2.39893 | ||||||||
\(886\) | 13.6505 | 0.458596 | ||||||||
\(887\) | −51.2537 | −1.72093 | −0.860466 | − | 0.509508i | \(-0.829827\pi\) | ||||
−0.860466 | + | 0.509508i | \(0.829827\pi\) | |||||||
\(888\) | −48.6558 | −1.63278 | ||||||||
\(889\) | −6.17975 | −0.207262 | ||||||||
\(890\) | 32.7922 | 1.09920 | ||||||||
\(891\) | 21.7057 | 0.727167 | ||||||||
\(892\) | 108.789 | 3.64252 | ||||||||
\(893\) | −7.93123 | −0.265409 | ||||||||
\(894\) | 108.241 | 3.62012 | ||||||||
\(895\) | 85.7427 | 2.86606 | ||||||||
\(896\) | −47.4006 | −1.58354 | ||||||||
\(897\) | −3.37283 | −0.112615 | ||||||||
\(898\) | 27.0351 | 0.902174 | ||||||||
\(899\) | −33.7198 | −1.12462 | ||||||||
\(900\) | 150.808 | 5.02693 | ||||||||
\(901\) | 21.6123 | 0.720011 | ||||||||
\(902\) | −19.8064 | −0.659481 | ||||||||
\(903\) | −9.78865 | −0.325746 | ||||||||
\(904\) | −102.658 | −3.41434 | ||||||||
\(905\) | 13.6009 | 0.452108 | ||||||||
\(906\) | 14.7893 | 0.491341 | ||||||||
\(907\) | 26.9780 | 0.895789 | 0.447894 | − | 0.894086i | \(-0.352174\pi\) | ||||
0.447894 | + | 0.894086i | \(0.352174\pi\) | |||||||
\(908\) | −1.20885 | −0.0401171 | ||||||||
\(909\) | 27.3452 | 0.906982 | ||||||||
\(910\) | 4.68559 | 0.155326 | ||||||||
\(911\) | 23.2476 | 0.770227 | 0.385114 | − | 0.922869i | \(-0.374162\pi\) | ||||
0.385114 | + | 0.922869i | \(0.374162\pi\) | |||||||
\(912\) | 206.323 | 6.83205 | ||||||||
\(913\) | 18.2924 | 0.605390 | ||||||||
\(914\) | −43.9425 | −1.45349 | ||||||||
\(915\) | 26.1617 | 0.864878 | ||||||||
\(916\) | −48.2882 | −1.59549 | ||||||||
\(917\) | 9.18909 | 0.303450 | ||||||||
\(918\) | −41.5431 | −1.37113 | ||||||||
\(919\) | 57.3422 | 1.89154 | 0.945772 | − | 0.324831i | \(-0.105307\pi\) | ||||
0.945772 | + | 0.324831i | \(0.105307\pi\) | |||||||
\(920\) | 113.836 | 3.75308 | ||||||||
\(921\) | −55.3449 | −1.82368 | ||||||||
\(922\) | 70.5638 | 2.32389 | ||||||||
\(923\) | 6.64924 | 0.218862 | ||||||||
\(924\) | 15.2560 | 0.501885 | ||||||||
\(925\) | −27.8361 | −0.915245 | ||||||||
\(926\) | −86.7732 | −2.85155 | ||||||||
\(927\) | 19.1597 | 0.629287 | ||||||||
\(928\) | −213.157 | −6.99723 | ||||||||
\(929\) | 36.9933 | 1.21371 | 0.606856 | − | 0.794812i | \(-0.292430\pi\) | ||||
0.606856 | + | 0.794812i | \(0.292430\pi\) | |||||||
\(930\) | −133.536 | −4.37881 | ||||||||
\(931\) | 32.7472 | 1.07325 | ||||||||
\(932\) | −38.6912 | −1.26737 | ||||||||
\(933\) | −59.9429 | −1.96244 | ||||||||
\(934\) | 8.76524 | 0.286807 | ||||||||
\(935\) | −49.4786 | −1.61812 | ||||||||
\(936\) | 12.9617 | 0.423667 | ||||||||
\(937\) | 53.7816 | 1.75697 | 0.878484 | − | 0.477771i | \(-0.158555\pi\) | ||||
0.878484 | + | 0.477771i | \(0.158555\pi\) | |||||||
\(938\) | −23.6278 | −0.771475 | ||||||||
\(939\) | −59.6898 | −1.94790 | ||||||||
\(940\) | 41.1113 | 1.34090 | ||||||||
\(941\) | 24.4449 | 0.796880 | 0.398440 | − | 0.917195i | \(-0.369552\pi\) | ||||
0.398440 | + | 0.917195i | \(0.369552\pi\) | |||||||
\(942\) | −21.9393 | −0.714822 | ||||||||
\(943\) | 8.65888 | 0.281972 | ||||||||
\(944\) | −141.837 | −4.61641 | ||||||||
\(945\) | 6.59724 | 0.214608 | ||||||||
\(946\) | 40.4744 | 1.31594 | ||||||||
\(947\) | −23.1945 | −0.753719 | −0.376860 | − | 0.926270i | \(-0.622996\pi\) | ||||
−0.376860 | + | 0.926270i | \(0.622996\pi\) | |||||||
\(948\) | 21.6380 | 0.702770 | ||||||||
\(949\) | −7.61291 | −0.247126 | ||||||||
\(950\) | 191.373 | 6.20895 | ||||||||
\(951\) | −20.5278 | −0.665659 | ||||||||
\(952\) | −38.5583 | −1.24968 | ||||||||
\(953\) | 27.7451 | 0.898751 | 0.449376 | − | 0.893343i | \(-0.351646\pi\) | ||||
0.449376 | + | 0.893343i | \(0.351646\pi\) | |||||||
\(954\) | −19.2385 | −0.622870 | ||||||||
\(955\) | −43.9737 | −1.42296 | ||||||||
\(956\) | 38.2543 | 1.23723 | ||||||||
\(957\) | 29.1318 | 0.941698 | ||||||||
\(958\) | −56.2186 | −1.81634 | ||||||||
\(959\) | 11.1566 | 0.360264 | ||||||||
\(960\) | −481.446 | −15.5386 | ||||||||
\(961\) | −6.25407 | −0.201744 | ||||||||
\(962\) | −3.62019 | −0.116720 | ||||||||
\(963\) | 21.7436 | 0.700678 | ||||||||
\(964\) | 26.3769 | 0.849543 | ||||||||
\(965\) | −93.6261 | −3.01393 | ||||||||
\(966\) | −8.93141 | −0.287363 | ||||||||
\(967\) | 22.6922 | 0.729731 | 0.364865 | − | 0.931060i | \(-0.381115\pi\) | ||||
0.364865 | + | 0.931060i | \(0.381115\pi\) | |||||||
\(968\) | 78.7910 | 2.53244 | ||||||||
\(969\) | 63.5622 | 2.04191 | ||||||||
\(970\) | 198.833 | 6.38413 | ||||||||
\(971\) | 9.93520 | 0.318836 | 0.159418 | − | 0.987211i | \(-0.449038\pi\) | ||||
0.159418 | + | 0.987211i | \(0.449038\pi\) | |||||||
\(972\) | 99.8175 | 3.20165 | ||||||||
\(973\) | −9.19752 | −0.294859 | ||||||||
\(974\) | 45.8770 | 1.47000 | ||||||||
\(975\) | 19.4235 | 0.622051 | ||||||||
\(976\) | −51.9955 | −1.66433 | ||||||||
\(977\) | 61.0006 | 1.95158 | 0.975791 | − | 0.218707i | \(-0.0701837\pi\) | ||||
0.975791 | + | 0.218707i | \(0.0701837\pi\) | |||||||
\(978\) | −97.9683 | −3.13268 | ||||||||
\(979\) | 5.24999 | 0.167790 | ||||||||
\(980\) | −169.744 | −5.42227 | ||||||||
\(981\) | 25.7301 | 0.821500 | ||||||||
\(982\) | −99.4314 | −3.17298 | ||||||||
\(983\) | −14.3390 | −0.457343 | −0.228672 | − | 0.973504i | \(-0.573438\pi\) | ||||
−0.228672 | + | 0.973504i | \(0.573438\pi\) | |||||||
\(984\) | −87.1611 | −2.77859 | ||||||||
\(985\) | −47.1643 | −1.50278 | ||||||||
\(986\) | −111.412 | −3.54807 | ||||||||
\(987\) | −2.13164 | −0.0678510 | ||||||||
\(988\) | 18.5858 | 0.591292 | ||||||||
\(989\) | −17.6945 | −0.562651 | ||||||||
\(990\) | 44.0440 | 1.39981 | ||||||||
\(991\) | −46.4309 | −1.47493 | −0.737463 | − | 0.675388i | \(-0.763976\pi\) | ||||
−0.737463 | + | 0.675388i | \(0.763976\pi\) | |||||||
\(992\) | 156.430 | 4.96664 | ||||||||
\(993\) | 66.7927 | 2.11960 | ||||||||
\(994\) | 17.6075 | 0.558476 | ||||||||
\(995\) | −41.3526 | −1.31097 | ||||||||
\(996\) | 121.807 | 3.85961 | ||||||||
\(997\) | −52.2752 | −1.65557 | −0.827786 | − | 0.561044i | \(-0.810400\pi\) | ||||
−0.827786 | + | 0.561044i | \(0.810400\pi\) | |||||||
\(998\) | 38.3335 | 1.21343 | ||||||||
\(999\) | −5.09718 | −0.161268 |
(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 | 6007.2.a.c.1.2 | ✓ | 261 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
6007.2.a.c.1.2 | ✓ | 261 | 1.1 | even | 1 | trivial |