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: | \(25\) |
Twist minimal: | yes |
Fricke sign: | \(1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.2 | ||
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 | ||||||||
\(3\) | −2.94469 | −1.70012 | −0.850058 | − | 0.526689i | \(-0.823433\pi\) | ||||
−0.850058 | + | 0.526689i | \(0.823433\pi\) | |||||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | −3.10338 | −1.38787 | −0.693936 | − | 0.720037i | \(-0.744125\pi\) | ||||
−0.693936 | + | 0.720037i | \(0.744125\pi\) | |||||||
\(6\) | 2.94469 | 1.20216 | ||||||||
\(7\) | 2.18728 | 0.826713 | 0.413357 | − | 0.910569i | \(-0.364356\pi\) | ||||
0.413357 | + | 0.910569i | \(0.364356\pi\) | |||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 5.67118 | 1.89039 | ||||||||
\(10\) | 3.10338 | 0.981373 | ||||||||
\(11\) | 3.62591 | 1.09325 | 0.546627 | − | 0.837376i | \(-0.315912\pi\) | ||||
0.546627 | + | 0.837376i | \(0.315912\pi\) | |||||||
\(12\) | −2.94469 | −0.850058 | ||||||||
\(13\) | 2.36826 | 0.656838 | 0.328419 | − | 0.944532i | \(-0.393484\pi\) | ||||
0.328419 | + | 0.944532i | \(0.393484\pi\) | |||||||
\(14\) | −2.18728 | −0.584575 | ||||||||
\(15\) | 9.13847 | 2.35954 | ||||||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 2.10389 | 0.510269 | 0.255135 | − | 0.966906i | \(-0.417880\pi\) | ||||
0.255135 | + | 0.966906i | \(0.417880\pi\) | |||||||
\(18\) | −5.67118 | −1.33671 | ||||||||
\(19\) | −7.83273 | −1.79695 | −0.898475 | − | 0.439024i | \(-0.855324\pi\) | ||||
−0.898475 | + | 0.439024i | \(0.855324\pi\) | |||||||
\(20\) | −3.10338 | −0.693936 | ||||||||
\(21\) | −6.44085 | −1.40551 | ||||||||
\(22\) | −3.62591 | −0.773047 | ||||||||
\(23\) | 1.00000 | 0.208514 | ||||||||
\(24\) | 2.94469 | 0.601082 | ||||||||
\(25\) | 4.63094 | 0.926188 | ||||||||
\(26\) | −2.36826 | −0.464454 | ||||||||
\(27\) | −7.86580 | −1.51377 | ||||||||
\(28\) | 2.18728 | 0.413357 | ||||||||
\(29\) | −6.98856 | −1.29774 | −0.648871 | − | 0.760898i | \(-0.724759\pi\) | ||||
−0.648871 | + | 0.760898i | \(0.724759\pi\) | |||||||
\(30\) | −9.13847 | −1.66845 | ||||||||
\(31\) | 8.62487 | 1.54907 | 0.774537 | − | 0.632529i | \(-0.217983\pi\) | ||||
0.774537 | + | 0.632529i | \(0.217983\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | −10.6772 | −1.85866 | ||||||||
\(34\) | −2.10389 | −0.360815 | ||||||||
\(35\) | −6.78794 | −1.14737 | ||||||||
\(36\) | 5.67118 | 0.945197 | ||||||||
\(37\) | −3.55379 | −0.584240 | −0.292120 | − | 0.956382i | \(-0.594361\pi\) | ||||
−0.292120 | + | 0.956382i | \(0.594361\pi\) | |||||||
\(38\) | 7.83273 | 1.27064 | ||||||||
\(39\) | −6.97379 | −1.11670 | ||||||||
\(40\) | 3.10338 | 0.490687 | ||||||||
\(41\) | 8.94001 | 1.39620 | 0.698098 | − | 0.716003i | \(-0.254030\pi\) | ||||
0.698098 | + | 0.716003i | \(0.254030\pi\) | |||||||
\(42\) | 6.44085 | 0.993845 | ||||||||
\(43\) | −6.48678 | −0.989225 | −0.494612 | − | 0.869114i | \(-0.664690\pi\) | ||||
−0.494612 | + | 0.869114i | \(0.664690\pi\) | |||||||
\(44\) | 3.62591 | 0.546627 | ||||||||
\(45\) | −17.5998 | −2.62363 | ||||||||
\(46\) | −1.00000 | −0.147442 | ||||||||
\(47\) | −5.16620 | −0.753567 | −0.376784 | − | 0.926301i | \(-0.622970\pi\) | ||||
−0.376784 | + | 0.926301i | \(0.622970\pi\) | |||||||
\(48\) | −2.94469 | −0.425029 | ||||||||
\(49\) | −2.21582 | −0.316545 | ||||||||
\(50\) | −4.63094 | −0.654913 | ||||||||
\(51\) | −6.19531 | −0.867517 | ||||||||
\(52\) | 2.36826 | 0.328419 | ||||||||
\(53\) | −0.484015 | −0.0664845 | −0.0332423 | − | 0.999447i | \(-0.510583\pi\) | ||||
−0.0332423 | + | 0.999447i | \(0.510583\pi\) | |||||||
\(54\) | 7.86580 | 1.07040 | ||||||||
\(55\) | −11.2526 | −1.51730 | ||||||||
\(56\) | −2.18728 | −0.292287 | ||||||||
\(57\) | 23.0649 | 3.05502 | ||||||||
\(58\) | 6.98856 | 0.917643 | ||||||||
\(59\) | −2.97827 | −0.387737 | −0.193869 | − | 0.981027i | \(-0.562104\pi\) | ||||
−0.193869 | + | 0.981027i | \(0.562104\pi\) | |||||||
\(60\) | 9.13847 | 1.17977 | ||||||||
\(61\) | −12.4970 | −1.60008 | −0.800042 | − | 0.599945i | \(-0.795189\pi\) | ||||
−0.800042 | + | 0.599945i | \(0.795189\pi\) | |||||||
\(62\) | −8.62487 | −1.09536 | ||||||||
\(63\) | 12.4045 | 1.56281 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −7.34961 | −0.911607 | ||||||||
\(66\) | 10.6772 | 1.31427 | ||||||||
\(67\) | 2.65610 | 0.324494 | 0.162247 | − | 0.986750i | \(-0.448126\pi\) | ||||
0.162247 | + | 0.986750i | \(0.448126\pi\) | |||||||
\(68\) | 2.10389 | 0.255135 | ||||||||
\(69\) | −2.94469 | −0.354499 | ||||||||
\(70\) | 6.78794 | 0.811314 | ||||||||
\(71\) | 11.1030 | 1.31769 | 0.658845 | − | 0.752279i | \(-0.271045\pi\) | ||||
0.658845 | + | 0.752279i | \(0.271045\pi\) | |||||||
\(72\) | −5.67118 | −0.668356 | ||||||||
\(73\) | 3.40502 | 0.398527 | 0.199264 | − | 0.979946i | \(-0.436145\pi\) | ||||
0.199264 | + | 0.979946i | \(0.436145\pi\) | |||||||
\(74\) | 3.55379 | 0.413120 | ||||||||
\(75\) | −13.6367 | −1.57463 | ||||||||
\(76\) | −7.83273 | −0.898475 | ||||||||
\(77\) | 7.93088 | 0.903808 | ||||||||
\(78\) | 6.97379 | 0.789627 | ||||||||
\(79\) | −17.7107 | −1.99261 | −0.996303 | − | 0.0859104i | \(-0.972620\pi\) | ||||
−0.996303 | + | 0.0859104i | \(0.972620\pi\) | |||||||
\(80\) | −3.10338 | −0.346968 | ||||||||
\(81\) | 6.14878 | 0.683198 | ||||||||
\(82\) | −8.94001 | −0.987259 | ||||||||
\(83\) | 12.1133 | 1.32961 | 0.664805 | − | 0.747017i | \(-0.268515\pi\) | ||||
0.664805 | + | 0.747017i | \(0.268515\pi\) | |||||||
\(84\) | −6.44085 | −0.702754 | ||||||||
\(85\) | −6.52917 | −0.708188 | ||||||||
\(86\) | 6.48678 | 0.699487 | ||||||||
\(87\) | 20.5791 | 2.20631 | ||||||||
\(88\) | −3.62591 | −0.386524 | ||||||||
\(89\) | 10.4427 | 1.10692 | 0.553461 | − | 0.832875i | \(-0.313307\pi\) | ||||
0.553461 | + | 0.832875i | \(0.313307\pi\) | |||||||
\(90\) | 17.5998 | 1.85518 | ||||||||
\(91\) | 5.18005 | 0.543017 | ||||||||
\(92\) | 1.00000 | 0.104257 | ||||||||
\(93\) | −25.3976 | −2.63360 | ||||||||
\(94\) | 5.16620 | 0.532853 | ||||||||
\(95\) | 24.3079 | 2.49394 | ||||||||
\(96\) | 2.94469 | 0.300541 | ||||||||
\(97\) | −10.9363 | −1.11042 | −0.555208 | − | 0.831712i | \(-0.687361\pi\) | ||||
−0.555208 | + | 0.831712i | \(0.687361\pi\) | |||||||
\(98\) | 2.21582 | 0.223831 | ||||||||
\(99\) | 20.5632 | 2.06668 | ||||||||
\(100\) | 4.63094 | 0.463094 | ||||||||
\(101\) | 2.37124 | 0.235947 | 0.117973 | − | 0.993017i | \(-0.462360\pi\) | ||||
0.117973 | + | 0.993017i | \(0.462360\pi\) | |||||||
\(102\) | 6.19531 | 0.613427 | ||||||||
\(103\) | 5.46826 | 0.538803 | 0.269402 | − | 0.963028i | \(-0.413174\pi\) | ||||
0.269402 | + | 0.963028i | \(0.413174\pi\) | |||||||
\(104\) | −2.36826 | −0.232227 | ||||||||
\(105\) | 19.9884 | 1.95067 | ||||||||
\(106\) | 0.484015 | 0.0470117 | ||||||||
\(107\) | −10.6025 | −1.02498 | −0.512490 | − | 0.858693i | \(-0.671277\pi\) | ||||
−0.512490 | + | 0.858693i | \(0.671277\pi\) | |||||||
\(108\) | −7.86580 | −0.756887 | ||||||||
\(109\) | −8.89287 | −0.851783 | −0.425891 | − | 0.904774i | \(-0.640039\pi\) | ||||
−0.425891 | + | 0.904774i | \(0.640039\pi\) | |||||||
\(110\) | 11.2526 | 1.07289 | ||||||||
\(111\) | 10.4648 | 0.993276 | ||||||||
\(112\) | 2.18728 | 0.206678 | ||||||||
\(113\) | 17.5993 | 1.65560 | 0.827800 | − | 0.561024i | \(-0.189592\pi\) | ||||
0.827800 | + | 0.561024i | \(0.189592\pi\) | |||||||
\(114\) | −23.0649 | −2.16023 | ||||||||
\(115\) | −3.10338 | −0.289391 | ||||||||
\(116\) | −6.98856 | −0.648871 | ||||||||
\(117\) | 13.4309 | 1.24168 | ||||||||
\(118\) | 2.97827 | 0.274172 | ||||||||
\(119\) | 4.60180 | 0.421846 | ||||||||
\(120\) | −9.13847 | −0.834224 | ||||||||
\(121\) | 2.14725 | 0.195204 | ||||||||
\(122\) | 12.4970 | 1.13143 | ||||||||
\(123\) | −26.3255 | −2.37369 | ||||||||
\(124\) | 8.62487 | 0.774537 | ||||||||
\(125\) | 1.14534 | 0.102442 | ||||||||
\(126\) | −12.4045 | −1.10508 | ||||||||
\(127\) | 6.05866 | 0.537619 | 0.268809 | − | 0.963193i | \(-0.413370\pi\) | ||||
0.268809 | + | 0.963193i | \(0.413370\pi\) | |||||||
\(128\) | −1.00000 | −0.0883883 | ||||||||
\(129\) | 19.1015 | 1.68180 | ||||||||
\(130\) | 7.34961 | 0.644603 | ||||||||
\(131\) | 1.00000 | 0.0873704 | ||||||||
\(132\) | −10.6772 | −0.929329 | ||||||||
\(133\) | −17.1323 | −1.48556 | ||||||||
\(134\) | −2.65610 | −0.229452 | ||||||||
\(135\) | 24.4105 | 2.10092 | ||||||||
\(136\) | −2.10389 | −0.180407 | ||||||||
\(137\) | 4.99231 | 0.426522 | 0.213261 | − | 0.976995i | \(-0.431592\pi\) | ||||
0.213261 | + | 0.976995i | \(0.431592\pi\) | |||||||
\(138\) | 2.94469 | 0.250668 | ||||||||
\(139\) | 17.5415 | 1.48785 | 0.743925 | − | 0.668263i | \(-0.232962\pi\) | ||||
0.743925 | + | 0.668263i | \(0.232962\pi\) | |||||||
\(140\) | −6.78794 | −0.573686 | ||||||||
\(141\) | 15.2128 | 1.28115 | ||||||||
\(142\) | −11.1030 | −0.931747 | ||||||||
\(143\) | 8.58711 | 0.718091 | ||||||||
\(144\) | 5.67118 | 0.472599 | ||||||||
\(145\) | 21.6881 | 1.80110 | ||||||||
\(146\) | −3.40502 | −0.281801 | ||||||||
\(147\) | 6.52489 | 0.538164 | ||||||||
\(148\) | −3.55379 | −0.292120 | ||||||||
\(149\) | 15.8629 | 1.29954 | 0.649768 | − | 0.760132i | \(-0.274866\pi\) | ||||
0.649768 | + | 0.760132i | \(0.274866\pi\) | |||||||
\(150\) | 13.6367 | 1.11343 | ||||||||
\(151\) | −14.8429 | −1.20790 | −0.603949 | − | 0.797023i | \(-0.706407\pi\) | ||||
−0.603949 | + | 0.797023i | \(0.706407\pi\) | |||||||
\(152\) | 7.83273 | 0.635318 | ||||||||
\(153\) | 11.9316 | 0.964610 | ||||||||
\(154\) | −7.93088 | −0.639088 | ||||||||
\(155\) | −26.7662 | −2.14991 | ||||||||
\(156\) | −6.97379 | −0.558350 | ||||||||
\(157\) | 20.9546 | 1.67236 | 0.836179 | − | 0.548457i | \(-0.184785\pi\) | ||||
0.836179 | + | 0.548457i | \(0.184785\pi\) | |||||||
\(158\) | 17.7107 | 1.40899 | ||||||||
\(159\) | 1.42527 | 0.113031 | ||||||||
\(160\) | 3.10338 | 0.245343 | ||||||||
\(161\) | 2.18728 | 0.172382 | ||||||||
\(162\) | −6.14878 | −0.483094 | ||||||||
\(163\) | −15.9931 | −1.25268 | −0.626339 | − | 0.779551i | \(-0.715447\pi\) | ||||
−0.626339 | + | 0.779551i | \(0.715447\pi\) | |||||||
\(164\) | 8.94001 | 0.698098 | ||||||||
\(165\) | 33.1353 | 2.57958 | ||||||||
\(166\) | −12.1133 | −0.940176 | ||||||||
\(167\) | 17.4060 | 1.34692 | 0.673460 | − | 0.739224i | \(-0.264807\pi\) | ||||
0.673460 | + | 0.739224i | \(0.264807\pi\) | |||||||
\(168\) | 6.44085 | 0.496922 | ||||||||
\(169\) | −7.39133 | −0.568564 | ||||||||
\(170\) | 6.52917 | 0.500765 | ||||||||
\(171\) | −44.4208 | −3.39695 | ||||||||
\(172\) | −6.48678 | −0.494612 | ||||||||
\(173\) | −6.34656 | −0.482520 | −0.241260 | − | 0.970461i | \(-0.577561\pi\) | ||||
−0.241260 | + | 0.970461i | \(0.577561\pi\) | |||||||
\(174\) | −20.5791 | −1.56010 | ||||||||
\(175\) | 10.1291 | 0.765692 | ||||||||
\(176\) | 3.62591 | 0.273313 | ||||||||
\(177\) | 8.77007 | 0.659199 | ||||||||
\(178\) | −10.4427 | −0.782711 | ||||||||
\(179\) | −19.4219 | −1.45166 | −0.725832 | − | 0.687872i | \(-0.758545\pi\) | ||||
−0.725832 | + | 0.687872i | \(0.758545\pi\) | |||||||
\(180\) | −17.5998 | −1.31181 | ||||||||
\(181\) | 1.49109 | 0.110832 | 0.0554160 | − | 0.998463i | \(-0.482351\pi\) | ||||
0.0554160 | + | 0.998463i | \(0.482351\pi\) | |||||||
\(182\) | −5.18005 | −0.383971 | ||||||||
\(183\) | 36.7999 | 2.72033 | ||||||||
\(184\) | −1.00000 | −0.0737210 | ||||||||
\(185\) | 11.0288 | 0.810850 | ||||||||
\(186\) | 25.3976 | 1.86224 | ||||||||
\(187\) | 7.62854 | 0.557854 | ||||||||
\(188\) | −5.16620 | −0.376784 | ||||||||
\(189\) | −17.2047 | −1.25146 | ||||||||
\(190\) | −24.3079 | −1.76348 | ||||||||
\(191\) | 10.1041 | 0.731110 | 0.365555 | − | 0.930790i | \(-0.380879\pi\) | ||||
0.365555 | + | 0.930790i | \(0.380879\pi\) | |||||||
\(192\) | −2.94469 | −0.212515 | ||||||||
\(193\) | 5.66583 | 0.407835 | 0.203918 | − | 0.978988i | \(-0.434632\pi\) | ||||
0.203918 | + | 0.978988i | \(0.434632\pi\) | |||||||
\(194\) | 10.9363 | 0.785182 | ||||||||
\(195\) | 21.6423 | 1.54984 | ||||||||
\(196\) | −2.21582 | −0.158273 | ||||||||
\(197\) | 16.5679 | 1.18042 | 0.590208 | − | 0.807251i | \(-0.299046\pi\) | ||||
0.590208 | + | 0.807251i | \(0.299046\pi\) | |||||||
\(198\) | −20.5632 | −1.46136 | ||||||||
\(199\) | −18.5510 | −1.31505 | −0.657523 | − | 0.753435i | \(-0.728396\pi\) | ||||
−0.657523 | + | 0.753435i | \(0.728396\pi\) | |||||||
\(200\) | −4.63094 | −0.327457 | ||||||||
\(201\) | −7.82137 | −0.551677 | ||||||||
\(202\) | −2.37124 | −0.166840 | ||||||||
\(203\) | −15.2859 | −1.07286 | ||||||||
\(204\) | −6.19531 | −0.433759 | ||||||||
\(205\) | −27.7442 | −1.93774 | ||||||||
\(206\) | −5.46826 | −0.380992 | ||||||||
\(207\) | 5.67118 | 0.394175 | ||||||||
\(208\) | 2.36826 | 0.164209 | ||||||||
\(209\) | −28.4008 | −1.96452 | ||||||||
\(210\) | −19.9884 | −1.37933 | ||||||||
\(211\) | −11.4540 | −0.788527 | −0.394264 | − | 0.918997i | \(-0.629000\pi\) | ||||
−0.394264 | + | 0.918997i | \(0.629000\pi\) | |||||||
\(212\) | −0.484015 | −0.0332423 | ||||||||
\(213\) | −32.6950 | −2.24023 | ||||||||
\(214\) | 10.6025 | 0.724770 | ||||||||
\(215\) | 20.1309 | 1.37292 | ||||||||
\(216\) | 7.86580 | 0.535200 | ||||||||
\(217\) | 18.8650 | 1.28064 | ||||||||
\(218\) | 8.89287 | 0.602301 | ||||||||
\(219\) | −10.0267 | −0.677543 | ||||||||
\(220\) | −11.2526 | −0.758648 | ||||||||
\(221\) | 4.98257 | 0.335164 | ||||||||
\(222\) | −10.4648 | −0.702352 | ||||||||
\(223\) | 12.2575 | 0.820825 | 0.410412 | − | 0.911900i | \(-0.365385\pi\) | ||||
0.410412 | + | 0.911900i | \(0.365385\pi\) | |||||||
\(224\) | −2.18728 | −0.146144 | ||||||||
\(225\) | 26.2629 | 1.75086 | ||||||||
\(226\) | −17.5993 | −1.17069 | ||||||||
\(227\) | 19.0016 | 1.26118 | 0.630589 | − | 0.776117i | \(-0.282813\pi\) | ||||
0.630589 | + | 0.776117i | \(0.282813\pi\) | |||||||
\(228\) | 23.0649 | 1.52751 | ||||||||
\(229\) | 11.8474 | 0.782895 | 0.391448 | − | 0.920200i | \(-0.371974\pi\) | ||||
0.391448 | + | 0.920200i | \(0.371974\pi\) | |||||||
\(230\) | 3.10338 | 0.204631 | ||||||||
\(231\) | −23.3540 | −1.53658 | ||||||||
\(232\) | 6.98856 | 0.458821 | ||||||||
\(233\) | −16.5439 | −1.08383 | −0.541914 | − | 0.840434i | \(-0.682300\pi\) | ||||
−0.541914 | + | 0.840434i | \(0.682300\pi\) | |||||||
\(234\) | −13.4309 | −0.878002 | ||||||||
\(235\) | 16.0326 | 1.04585 | ||||||||
\(236\) | −2.97827 | −0.193869 | ||||||||
\(237\) | 52.1524 | 3.38766 | ||||||||
\(238\) | −4.60180 | −0.298290 | ||||||||
\(239\) | 4.23998 | 0.274261 | 0.137131 | − | 0.990553i | \(-0.456212\pi\) | ||||
0.137131 | + | 0.990553i | \(0.456212\pi\) | |||||||
\(240\) | 9.13847 | 0.589886 | ||||||||
\(241\) | −12.1426 | −0.782176 | −0.391088 | − | 0.920353i | \(-0.627901\pi\) | ||||
−0.391088 | + | 0.920353i | \(0.627901\pi\) | |||||||
\(242\) | −2.14725 | −0.138030 | ||||||||
\(243\) | 5.49117 | 0.352259 | ||||||||
\(244\) | −12.4970 | −0.800042 | ||||||||
\(245\) | 6.87651 | 0.439324 | ||||||||
\(246\) | 26.3255 | 1.67846 | ||||||||
\(247\) | −18.5500 | −1.18031 | ||||||||
\(248\) | −8.62487 | −0.547680 | ||||||||
\(249\) | −35.6700 | −2.26049 | ||||||||
\(250\) | −1.14534 | −0.0724376 | ||||||||
\(251\) | −16.9133 | −1.06756 | −0.533778 | − | 0.845625i | \(-0.679228\pi\) | ||||
−0.533778 | + | 0.845625i | \(0.679228\pi\) | |||||||
\(252\) | 12.4045 | 0.781407 | ||||||||
\(253\) | 3.62591 | 0.227959 | ||||||||
\(254\) | −6.05866 | −0.380154 | ||||||||
\(255\) | 19.2264 | 1.20400 | ||||||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −24.8346 | −1.54914 | −0.774569 | − | 0.632489i | \(-0.782033\pi\) | ||||
−0.774569 | + | 0.632489i | \(0.782033\pi\) | |||||||
\(258\) | −19.1015 | −1.18921 | ||||||||
\(259\) | −7.77313 | −0.482999 | ||||||||
\(260\) | −7.34961 | −0.455803 | ||||||||
\(261\) | −39.6334 | −2.45325 | ||||||||
\(262\) | −1.00000 | −0.0617802 | ||||||||
\(263\) | −27.7018 | −1.70817 | −0.854084 | − | 0.520135i | \(-0.825882\pi\) | ||||
−0.854084 | + | 0.520135i | \(0.825882\pi\) | |||||||
\(264\) | 10.6772 | 0.657135 | ||||||||
\(265\) | 1.50208 | 0.0922720 | ||||||||
\(266\) | 17.1323 | 1.05045 | ||||||||
\(267\) | −30.7504 | −1.88189 | ||||||||
\(268\) | 2.65610 | 0.162247 | ||||||||
\(269\) | −8.55168 | −0.521405 | −0.260703 | − | 0.965419i | \(-0.583954\pi\) | ||||
−0.260703 | + | 0.965419i | \(0.583954\pi\) | |||||||
\(270\) | −24.4105 | −1.48558 | ||||||||
\(271\) | 5.58610 | 0.339331 | 0.169666 | − | 0.985502i | \(-0.445731\pi\) | ||||
0.169666 | + | 0.985502i | \(0.445731\pi\) | |||||||
\(272\) | 2.10389 | 0.127567 | ||||||||
\(273\) | −15.2536 | −0.923191 | ||||||||
\(274\) | −4.99231 | −0.301596 | ||||||||
\(275\) | 16.7914 | 1.01256 | ||||||||
\(276\) | −2.94469 | −0.177249 | ||||||||
\(277\) | −24.9240 | −1.49754 | −0.748768 | − | 0.662832i | \(-0.769354\pi\) | ||||
−0.748768 | + | 0.662832i | \(0.769354\pi\) | |||||||
\(278\) | −17.5415 | −1.05207 | ||||||||
\(279\) | 48.9133 | 2.92836 | ||||||||
\(280\) | 6.78794 | 0.405657 | ||||||||
\(281\) | −30.8789 | −1.84208 | −0.921041 | − | 0.389466i | \(-0.872660\pi\) | ||||
−0.921041 | + | 0.389466i | \(0.872660\pi\) | |||||||
\(282\) | −15.2128 | −0.905911 | ||||||||
\(283\) | 11.5982 | 0.689442 | 0.344721 | − | 0.938705i | \(-0.387974\pi\) | ||||
0.344721 | + | 0.938705i | \(0.387974\pi\) | |||||||
\(284\) | 11.1030 | 0.658845 | ||||||||
\(285\) | −71.5791 | −4.23998 | ||||||||
\(286\) | −8.58711 | −0.507767 | ||||||||
\(287\) | 19.5543 | 1.15425 | ||||||||
\(288\) | −5.67118 | −0.334178 | ||||||||
\(289\) | −12.5736 | −0.739625 | ||||||||
\(290\) | −21.6881 | −1.27357 | ||||||||
\(291\) | 32.2040 | 1.88783 | ||||||||
\(292\) | 3.40502 | 0.199264 | ||||||||
\(293\) | 27.0359 | 1.57945 | 0.789726 | − | 0.613460i | \(-0.210223\pi\) | ||||
0.789726 | + | 0.613460i | \(0.210223\pi\) | |||||||
\(294\) | −6.52489 | −0.380539 | ||||||||
\(295\) | 9.24268 | 0.538130 | ||||||||
\(296\) | 3.55379 | 0.206560 | ||||||||
\(297\) | −28.5207 | −1.65494 | ||||||||
\(298\) | −15.8629 | −0.918911 | ||||||||
\(299\) | 2.36826 | 0.136960 | ||||||||
\(300\) | −13.6367 | −0.787313 | ||||||||
\(301\) | −14.1884 | −0.817805 | ||||||||
\(302\) | 14.8429 | 0.854113 | ||||||||
\(303\) | −6.98255 | −0.401137 | ||||||||
\(304\) | −7.83273 | −0.449238 | ||||||||
\(305\) | 38.7830 | 2.22071 | ||||||||
\(306\) | −11.9316 | −0.682083 | ||||||||
\(307\) | −8.64534 | −0.493416 | −0.246708 | − | 0.969090i | \(-0.579349\pi\) | ||||
−0.246708 | + | 0.969090i | \(0.579349\pi\) | |||||||
\(308\) | 7.93088 | 0.451904 | ||||||||
\(309\) | −16.1023 | −0.916028 | ||||||||
\(310\) | 26.7662 | 1.52022 | ||||||||
\(311\) | −20.8347 | −1.18142 | −0.590712 | − | 0.806882i | \(-0.701153\pi\) | ||||
−0.590712 | + | 0.806882i | \(0.701153\pi\) | |||||||
\(312\) | 6.97379 | 0.394813 | ||||||||
\(313\) | −26.6602 | −1.50692 | −0.753461 | − | 0.657493i | \(-0.771617\pi\) | ||||
−0.753461 | + | 0.657493i | \(0.771617\pi\) | |||||||
\(314\) | −20.9546 | −1.18254 | ||||||||
\(315\) | −38.4957 | −2.16899 | ||||||||
\(316\) | −17.7107 | −0.996303 | ||||||||
\(317\) | −28.7093 | −1.61248 | −0.806238 | − | 0.591592i | \(-0.798500\pi\) | ||||
−0.806238 | + | 0.591592i | \(0.798500\pi\) | |||||||
\(318\) | −1.42527 | −0.0799253 | ||||||||
\(319\) | −25.3399 | −1.41876 | ||||||||
\(320\) | −3.10338 | −0.173484 | ||||||||
\(321\) | 31.2210 | 1.74258 | ||||||||
\(322\) | −2.18728 | −0.121892 | ||||||||
\(323\) | −16.4792 | −0.916929 | ||||||||
\(324\) | 6.14878 | 0.341599 | ||||||||
\(325\) | 10.9673 | 0.608355 | ||||||||
\(326\) | 15.9931 | 0.885777 | ||||||||
\(327\) | 26.1867 | 1.44813 | ||||||||
\(328\) | −8.94001 | −0.493630 | ||||||||
\(329\) | −11.2999 | −0.622984 | ||||||||
\(330\) | −33.1353 | −1.82404 | ||||||||
\(331\) | 27.2290 | 1.49664 | 0.748322 | − | 0.663336i | \(-0.230860\pi\) | ||||
0.748322 | + | 0.663336i | \(0.230860\pi\) | |||||||
\(332\) | 12.1133 | 0.664805 | ||||||||
\(333\) | −20.1542 | −1.10444 | ||||||||
\(334\) | −17.4060 | −0.952416 | ||||||||
\(335\) | −8.24286 | −0.450356 | ||||||||
\(336\) | −6.44085 | −0.351377 | ||||||||
\(337\) | 32.8194 | 1.78779 | 0.893893 | − | 0.448280i | \(-0.147963\pi\) | ||||
0.893893 | + | 0.448280i | \(0.147963\pi\) | |||||||
\(338\) | 7.39133 | 0.402035 | ||||||||
\(339\) | −51.8243 | −2.81471 | ||||||||
\(340\) | −6.52917 | −0.354094 | ||||||||
\(341\) | 31.2730 | 1.69353 | ||||||||
\(342\) | 44.4208 | 2.40200 | ||||||||
\(343\) | −20.1575 | −1.08841 | ||||||||
\(344\) | 6.48678 | 0.349744 | ||||||||
\(345\) | 9.13847 | 0.491999 | ||||||||
\(346\) | 6.34656 | 0.341193 | ||||||||
\(347\) | −8.08355 | −0.433948 | −0.216974 | − | 0.976177i | \(-0.569619\pi\) | ||||
−0.216974 | + | 0.976177i | \(0.569619\pi\) | |||||||
\(348\) | 20.5791 | 1.10316 | ||||||||
\(349\) | 11.8759 | 0.635703 | 0.317852 | − | 0.948140i | \(-0.397039\pi\) | ||||
0.317852 | + | 0.948140i | \(0.397039\pi\) | |||||||
\(350\) | −10.1291 | −0.541426 | ||||||||
\(351\) | −18.6283 | −0.994304 | ||||||||
\(352\) | −3.62591 | −0.193262 | ||||||||
\(353\) | 8.38985 | 0.446547 | 0.223273 | − | 0.974756i | \(-0.428326\pi\) | ||||
0.223273 | + | 0.974756i | \(0.428326\pi\) | |||||||
\(354\) | −8.77007 | −0.466124 | ||||||||
\(355\) | −34.4569 | −1.82878 | ||||||||
\(356\) | 10.4427 | 0.553461 | ||||||||
\(357\) | −13.5509 | −0.717188 | ||||||||
\(358\) | 19.4219 | 1.02648 | ||||||||
\(359\) | −35.4681 | −1.87193 | −0.935967 | − | 0.352087i | \(-0.885472\pi\) | ||||
−0.935967 | + | 0.352087i | \(0.885472\pi\) | |||||||
\(360\) | 17.5998 | 0.927592 | ||||||||
\(361\) | 42.3516 | 2.22903 | ||||||||
\(362\) | −1.49109 | −0.0783701 | ||||||||
\(363\) | −6.32297 | −0.331870 | ||||||||
\(364\) | 5.18005 | 0.271508 | ||||||||
\(365\) | −10.5671 | −0.553105 | ||||||||
\(366\) | −36.7999 | −1.92356 | ||||||||
\(367\) | 0.676424 | 0.0353091 | 0.0176545 | − | 0.999844i | \(-0.494380\pi\) | ||||
0.0176545 | + | 0.999844i | \(0.494380\pi\) | |||||||
\(368\) | 1.00000 | 0.0521286 | ||||||||
\(369\) | 50.7005 | 2.63936 | ||||||||
\(370\) | −11.0288 | −0.573357 | ||||||||
\(371\) | −1.05867 | −0.0549637 | ||||||||
\(372\) | −25.3976 | −1.31680 | ||||||||
\(373\) | 6.07299 | 0.314447 | 0.157224 | − | 0.987563i | \(-0.449746\pi\) | ||||
0.157224 | + | 0.987563i | \(0.449746\pi\) | |||||||
\(374\) | −7.62854 | −0.394462 | ||||||||
\(375\) | −3.37266 | −0.174164 | ||||||||
\(376\) | 5.16620 | 0.266426 | ||||||||
\(377\) | −16.5507 | −0.852406 | ||||||||
\(378\) | 17.2047 | 0.884914 | ||||||||
\(379\) | 36.2852 | 1.86384 | 0.931922 | − | 0.362659i | \(-0.118131\pi\) | ||||
0.931922 | + | 0.362659i | \(0.118131\pi\) | |||||||
\(380\) | 24.3079 | 1.24697 | ||||||||
\(381\) | −17.8409 | −0.914015 | ||||||||
\(382\) | −10.1041 | −0.516973 | ||||||||
\(383\) | 0.322645 | 0.0164864 | 0.00824320 | − | 0.999966i | \(-0.497376\pi\) | ||||
0.00824320 | + | 0.999966i | \(0.497376\pi\) | |||||||
\(384\) | 2.94469 | 0.150270 | ||||||||
\(385\) | −24.6125 | −1.25437 | ||||||||
\(386\) | −5.66583 | −0.288383 | ||||||||
\(387\) | −36.7877 | −1.87003 | ||||||||
\(388\) | −10.9363 | −0.555208 | ||||||||
\(389\) | 26.8223 | 1.35995 | 0.679973 | − | 0.733237i | \(-0.261992\pi\) | ||||
0.679973 | + | 0.733237i | \(0.261992\pi\) | |||||||
\(390\) | −21.6423 | −1.09590 | ||||||||
\(391\) | 2.10389 | 0.106399 | ||||||||
\(392\) | 2.21582 | 0.111916 | ||||||||
\(393\) | −2.94469 | −0.148540 | ||||||||
\(394\) | −16.5679 | −0.834680 | ||||||||
\(395\) | 54.9628 | 2.76548 | ||||||||
\(396\) | 20.5632 | 1.03334 | ||||||||
\(397\) | 9.55849 | 0.479727 | 0.239863 | − | 0.970807i | \(-0.422897\pi\) | ||||
0.239863 | + | 0.970807i | \(0.422897\pi\) | |||||||
\(398\) | 18.5510 | 0.929877 | ||||||||
\(399\) | 50.4494 | 2.52563 | ||||||||
\(400\) | 4.63094 | 0.231547 | ||||||||
\(401\) | −5.91647 | −0.295455 | −0.147727 | − | 0.989028i | \(-0.547196\pi\) | ||||
−0.147727 | + | 0.989028i | \(0.547196\pi\) | |||||||
\(402\) | 7.82137 | 0.390095 | ||||||||
\(403\) | 20.4260 | 1.01749 | ||||||||
\(404\) | 2.37124 | 0.117973 | ||||||||
\(405\) | −19.0820 | −0.948191 | ||||||||
\(406\) | 15.2859 | 0.758627 | ||||||||
\(407\) | −12.8857 | −0.638722 | ||||||||
\(408\) | 6.19531 | 0.306714 | ||||||||
\(409\) | −32.3124 | −1.59775 | −0.798873 | − | 0.601499i | \(-0.794570\pi\) | ||||
−0.798873 | + | 0.601499i | \(0.794570\pi\) | |||||||
\(410\) | 27.7442 | 1.37019 | ||||||||
\(411\) | −14.7008 | −0.725136 | ||||||||
\(412\) | 5.46826 | 0.269402 | ||||||||
\(413\) | −6.51430 | −0.320548 | ||||||||
\(414\) | −5.67118 | −0.278724 | ||||||||
\(415\) | −37.5922 | −1.84533 | ||||||||
\(416\) | −2.36826 | −0.116114 | ||||||||
\(417\) | −51.6542 | −2.52952 | ||||||||
\(418\) | 28.4008 | 1.38913 | ||||||||
\(419\) | 21.7720 | 1.06363 | 0.531817 | − | 0.846859i | \(-0.321510\pi\) | ||||
0.531817 | + | 0.846859i | \(0.321510\pi\) | |||||||
\(420\) | 19.9884 | 0.975333 | ||||||||
\(421\) | 36.4888 | 1.77836 | 0.889179 | − | 0.457560i | \(-0.151276\pi\) | ||||
0.889179 | + | 0.457560i | \(0.151276\pi\) | |||||||
\(422\) | 11.4540 | 0.557573 | ||||||||
\(423\) | −29.2985 | −1.42454 | ||||||||
\(424\) | 0.484015 | 0.0235058 | ||||||||
\(425\) | 9.74300 | 0.472605 | ||||||||
\(426\) | 32.6950 | 1.58408 | ||||||||
\(427\) | −27.3345 | −1.32281 | ||||||||
\(428\) | −10.6025 | −0.512490 | ||||||||
\(429\) | −25.2864 | −1.22084 | ||||||||
\(430\) | −20.1309 | −0.970799 | ||||||||
\(431\) | 4.27848 | 0.206087 | 0.103044 | − | 0.994677i | \(-0.467142\pi\) | ||||
0.103044 | + | 0.994677i | \(0.467142\pi\) | |||||||
\(432\) | −7.86580 | −0.378444 | ||||||||
\(433\) | 33.7058 | 1.61980 | 0.809900 | − | 0.586569i | \(-0.199522\pi\) | ||||
0.809900 | + | 0.586569i | \(0.199522\pi\) | |||||||
\(434\) | −18.8650 | −0.905549 | ||||||||
\(435\) | −63.8647 | −3.06208 | ||||||||
\(436\) | −8.89287 | −0.425891 | ||||||||
\(437\) | −7.83273 | −0.374690 | ||||||||
\(438\) | 10.0267 | 0.479095 | ||||||||
\(439\) | −20.8215 | −0.993757 | −0.496879 | − | 0.867820i | \(-0.665521\pi\) | ||||
−0.496879 | + | 0.867820i | \(0.665521\pi\) | |||||||
\(440\) | 11.2526 | 0.536445 | ||||||||
\(441\) | −12.5663 | −0.598395 | ||||||||
\(442\) | −4.98257 | −0.236997 | ||||||||
\(443\) | −14.9194 | −0.708842 | −0.354421 | − | 0.935086i | \(-0.615322\pi\) | ||||
−0.354421 | + | 0.935086i | \(0.615322\pi\) | |||||||
\(444\) | 10.4648 | 0.496638 | ||||||||
\(445\) | −32.4075 | −1.53626 | ||||||||
\(446\) | −12.2575 | −0.580411 | ||||||||
\(447\) | −46.7112 | −2.20936 | ||||||||
\(448\) | 2.18728 | 0.103339 | ||||||||
\(449\) | −26.4598 | −1.24871 | −0.624357 | − | 0.781139i | \(-0.714639\pi\) | ||||
−0.624357 | + | 0.781139i | \(0.714639\pi\) | |||||||
\(450\) | −26.2629 | −1.23805 | ||||||||
\(451\) | 32.4157 | 1.52640 | ||||||||
\(452\) | 17.5993 | 0.827800 | ||||||||
\(453\) | 43.7077 | 2.05357 | ||||||||
\(454\) | −19.0016 | −0.891788 | ||||||||
\(455\) | −16.0756 | −0.753637 | ||||||||
\(456\) | −23.0649 | −1.08011 | ||||||||
\(457\) | 7.95332 | 0.372041 | 0.186020 | − | 0.982546i | \(-0.440441\pi\) | ||||
0.186020 | + | 0.982546i | \(0.440441\pi\) | |||||||
\(458\) | −11.8474 | −0.553591 | ||||||||
\(459\) | −16.5488 | −0.772433 | ||||||||
\(460\) | −3.10338 | −0.144696 | ||||||||
\(461\) | −2.10206 | −0.0979027 | −0.0489514 | − | 0.998801i | \(-0.515588\pi\) | ||||
−0.0489514 | + | 0.998801i | \(0.515588\pi\) | |||||||
\(462\) | 23.3540 | 1.08652 | ||||||||
\(463\) | −16.4349 | −0.763796 | −0.381898 | − | 0.924204i | \(-0.624729\pi\) | ||||
−0.381898 | + | 0.924204i | \(0.624729\pi\) | |||||||
\(464\) | −6.98856 | −0.324436 | ||||||||
\(465\) | 78.8182 | 3.65510 | ||||||||
\(466\) | 16.5439 | 0.766382 | ||||||||
\(467\) | 1.76742 | 0.0817864 | 0.0408932 | − | 0.999164i | \(-0.486980\pi\) | ||||
0.0408932 | + | 0.999164i | \(0.486980\pi\) | |||||||
\(468\) | 13.4309 | 0.620841 | ||||||||
\(469\) | 5.80962 | 0.268263 | ||||||||
\(470\) | −16.0326 | −0.739531 | ||||||||
\(471\) | −61.7047 | −2.84320 | ||||||||
\(472\) | 2.97827 | 0.137086 | ||||||||
\(473\) | −23.5205 | −1.08147 | ||||||||
\(474\) | −52.1524 | −2.39544 | ||||||||
\(475\) | −36.2729 | −1.66431 | ||||||||
\(476\) | 4.60180 | 0.210923 | ||||||||
\(477\) | −2.74494 | −0.125682 | ||||||||
\(478\) | −4.23998 | −0.193932 | ||||||||
\(479\) | 0.341661 | 0.0156109 | 0.00780544 | − | 0.999970i | \(-0.497515\pi\) | ||||
0.00780544 | + | 0.999970i | \(0.497515\pi\) | |||||||
\(480\) | −9.13847 | −0.417112 | ||||||||
\(481\) | −8.41631 | −0.383751 | ||||||||
\(482\) | 12.1426 | 0.553082 | ||||||||
\(483\) | −6.44085 | −0.293069 | ||||||||
\(484\) | 2.14725 | 0.0976021 | ||||||||
\(485\) | 33.9395 | 1.54111 | ||||||||
\(486\) | −5.49117 | −0.249085 | ||||||||
\(487\) | 3.60667 | 0.163434 | 0.0817169 | − | 0.996656i | \(-0.473960\pi\) | ||||
0.0817169 | + | 0.996656i | \(0.473960\pi\) | |||||||
\(488\) | 12.4970 | 0.565715 | ||||||||
\(489\) | 47.0947 | 2.12970 | ||||||||
\(490\) | −6.87651 | −0.310649 | ||||||||
\(491\) | −37.2123 | −1.67937 | −0.839684 | − | 0.543075i | \(-0.817260\pi\) | ||||
−0.839684 | + | 0.543075i | \(0.817260\pi\) | |||||||
\(492\) | −26.3255 | −1.18685 | ||||||||
\(493\) | −14.7032 | −0.662198 | ||||||||
\(494\) | 18.5500 | 0.834602 | ||||||||
\(495\) | −63.8154 | −2.86829 | ||||||||
\(496\) | 8.62487 | 0.387268 | ||||||||
\(497\) | 24.2855 | 1.08935 | ||||||||
\(498\) | 35.6700 | 1.59841 | ||||||||
\(499\) | 19.3933 | 0.868163 | 0.434082 | − | 0.900874i | \(-0.357073\pi\) | ||||
0.434082 | + | 0.900874i | \(0.357073\pi\) | |||||||
\(500\) | 1.14534 | 0.0512211 | ||||||||
\(501\) | −51.2554 | −2.28992 | ||||||||
\(502\) | 16.9133 | 0.754876 | ||||||||
\(503\) | 1.57219 | 0.0701003 | 0.0350502 | − | 0.999386i | \(-0.488841\pi\) | ||||
0.0350502 | + | 0.999386i | \(0.488841\pi\) | |||||||
\(504\) | −12.4045 | −0.552538 | ||||||||
\(505\) | −7.35883 | −0.327464 | ||||||||
\(506\) | −3.62591 | −0.161191 | ||||||||
\(507\) | 21.7652 | 0.966625 | ||||||||
\(508\) | 6.05866 | 0.268809 | ||||||||
\(509\) | −1.78489 | −0.0791139 | −0.0395569 | − | 0.999217i | \(-0.512595\pi\) | ||||
−0.0395569 | + | 0.999217i | \(0.512595\pi\) | |||||||
\(510\) | −19.2264 | −0.851358 | ||||||||
\(511\) | 7.44772 | 0.329468 | ||||||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 61.6107 | 2.72018 | ||||||||
\(514\) | 24.8346 | 1.09541 | ||||||||
\(515\) | −16.9701 | −0.747790 | ||||||||
\(516\) | 19.1015 | 0.840898 | ||||||||
\(517\) | −18.7322 | −0.823840 | ||||||||
\(518\) | 7.77313 | 0.341532 | ||||||||
\(519\) | 18.6886 | 0.820340 | ||||||||
\(520\) | 7.34961 | 0.322302 | ||||||||
\(521\) | −8.37462 | −0.366899 | −0.183449 | − | 0.983029i | \(-0.558726\pi\) | ||||
−0.183449 | + | 0.983029i | \(0.558726\pi\) | |||||||
\(522\) | 39.6334 | 1.73471 | ||||||||
\(523\) | −9.43547 | −0.412584 | −0.206292 | − | 0.978490i | \(-0.566140\pi\) | ||||
−0.206292 | + | 0.978490i | \(0.566140\pi\) | |||||||
\(524\) | 1.00000 | 0.0436852 | ||||||||
\(525\) | −29.8272 | −1.30176 | ||||||||
\(526\) | 27.7018 | 1.20786 | ||||||||
\(527\) | 18.1458 | 0.790444 | ||||||||
\(528\) | −10.6772 | −0.464665 | ||||||||
\(529\) | 1.00000 | 0.0434783 | ||||||||
\(530\) | −1.50208 | −0.0652462 | ||||||||
\(531\) | −16.8903 | −0.732977 | ||||||||
\(532\) | −17.1323 | −0.742781 | ||||||||
\(533\) | 21.1723 | 0.917074 | ||||||||
\(534\) | 30.7504 | 1.33070 | ||||||||
\(535\) | 32.9035 | 1.42254 | ||||||||
\(536\) | −2.65610 | −0.114726 | ||||||||
\(537\) | 57.1915 | 2.46800 | ||||||||
\(538\) | 8.55168 | 0.368689 | ||||||||
\(539\) | −8.03436 | −0.346064 | ||||||||
\(540\) | 24.4105 | 1.05046 | ||||||||
\(541\) | −26.4989 | −1.13927 | −0.569637 | − | 0.821896i | \(-0.692916\pi\) | ||||
−0.569637 | + | 0.821896i | \(0.692916\pi\) | |||||||
\(542\) | −5.58610 | −0.239944 | ||||||||
\(543\) | −4.39080 | −0.188427 | ||||||||
\(544\) | −2.10389 | −0.0902037 | ||||||||
\(545\) | 27.5979 | 1.18217 | ||||||||
\(546\) | 15.2536 | 0.652795 | ||||||||
\(547\) | −19.0525 | −0.814627 | −0.407314 | − | 0.913288i | \(-0.633534\pi\) | ||||
−0.407314 | + | 0.913288i | \(0.633534\pi\) | |||||||
\(548\) | 4.99231 | 0.213261 | ||||||||
\(549\) | −70.8731 | −3.02479 | ||||||||
\(550\) | −16.7914 | −0.715987 | ||||||||
\(551\) | 54.7395 | 2.33198 | ||||||||
\(552\) | 2.94469 | 0.125334 | ||||||||
\(553\) | −38.7381 | −1.64731 | ||||||||
\(554\) | 24.9240 | 1.05892 | ||||||||
\(555\) | −32.4762 | −1.37854 | ||||||||
\(556\) | 17.5415 | 0.743925 | ||||||||
\(557\) | 31.4974 | 1.33459 | 0.667294 | − | 0.744794i | \(-0.267452\pi\) | ||||
0.667294 | + | 0.744794i | \(0.267452\pi\) | |||||||
\(558\) | −48.9133 | −2.07066 | ||||||||
\(559\) | −15.3624 | −0.649760 | ||||||||
\(560\) | −6.78794 | −0.286843 | ||||||||
\(561\) | −22.4637 | −0.948416 | ||||||||
\(562\) | 30.8789 | 1.30255 | ||||||||
\(563\) | 38.8046 | 1.63542 | 0.817710 | − | 0.575630i | \(-0.195243\pi\) | ||||
0.817710 | + | 0.575630i | \(0.195243\pi\) | |||||||
\(564\) | 15.2128 | 0.640576 | ||||||||
\(565\) | −54.6171 | −2.29776 | ||||||||
\(566\) | −11.5982 | −0.487509 | ||||||||
\(567\) | 13.4491 | 0.564809 | ||||||||
\(568\) | −11.1030 | −0.465874 | ||||||||
\(569\) | −5.13364 | −0.215213 | −0.107607 | − | 0.994194i | \(-0.534319\pi\) | ||||
−0.107607 | + | 0.994194i | \(0.534319\pi\) | |||||||
\(570\) | 71.5791 | 2.99812 | ||||||||
\(571\) | −43.9866 | −1.84078 | −0.920390 | − | 0.391001i | \(-0.872129\pi\) | ||||
−0.920390 | + | 0.391001i | \(0.872129\pi\) | |||||||
\(572\) | 8.58711 | 0.359045 | ||||||||
\(573\) | −29.7535 | −1.24297 | ||||||||
\(574\) | −19.5543 | −0.816180 | ||||||||
\(575\) | 4.63094 | 0.193123 | ||||||||
\(576\) | 5.67118 | 0.236299 | ||||||||
\(577\) | 28.4783 | 1.18557 | 0.592783 | − | 0.805362i | \(-0.298029\pi\) | ||||
0.592783 | + | 0.805362i | \(0.298029\pi\) | |||||||
\(578\) | 12.5736 | 0.522994 | ||||||||
\(579\) | −16.6841 | −0.693368 | ||||||||
\(580\) | 21.6881 | 0.900550 | ||||||||
\(581\) | 26.4952 | 1.09921 | ||||||||
\(582\) | −32.2040 | −1.33490 | ||||||||
\(583\) | −1.75500 | −0.0726845 | ||||||||
\(584\) | −3.40502 | −0.140901 | ||||||||
\(585\) | −41.6810 | −1.72330 | ||||||||
\(586\) | −27.0359 | −1.11684 | ||||||||
\(587\) | −39.5940 | −1.63422 | −0.817110 | − | 0.576482i | \(-0.804425\pi\) | ||||
−0.817110 | + | 0.576482i | \(0.804425\pi\) | |||||||
\(588\) | 6.52489 | 0.269082 | ||||||||
\(589\) | −67.5563 | −2.78361 | ||||||||
\(590\) | −9.24268 | −0.380515 | ||||||||
\(591\) | −48.7874 | −2.00684 | ||||||||
\(592\) | −3.55379 | −0.146060 | ||||||||
\(593\) | −20.2218 | −0.830411 | −0.415205 | − | 0.909728i | \(-0.636290\pi\) | ||||
−0.415205 | + | 0.909728i | \(0.636290\pi\) | |||||||
\(594\) | 28.5207 | 1.17022 | ||||||||
\(595\) | −14.2811 | −0.585469 | ||||||||
\(596\) | 15.8629 | 0.649768 | ||||||||
\(597\) | 54.6269 | 2.23573 | ||||||||
\(598\) | −2.36826 | −0.0968455 | ||||||||
\(599\) | −17.6542 | −0.721331 | −0.360665 | − | 0.932695i | \(-0.617450\pi\) | ||||
−0.360665 | + | 0.932695i | \(0.617450\pi\) | |||||||
\(600\) | 13.6367 | 0.556714 | ||||||||
\(601\) | 36.2954 | 1.48052 | 0.740259 | − | 0.672321i | \(-0.234703\pi\) | ||||
0.740259 | + | 0.672321i | \(0.234703\pi\) | |||||||
\(602\) | 14.1884 | 0.578276 | ||||||||
\(603\) | 15.0632 | 0.613422 | ||||||||
\(604\) | −14.8429 | −0.603949 | ||||||||
\(605\) | −6.66371 | −0.270918 | ||||||||
\(606\) | 6.98255 | 0.283647 | ||||||||
\(607\) | −8.46238 | −0.343478 | −0.171739 | − | 0.985143i | \(-0.554938\pi\) | ||||
−0.171739 | + | 0.985143i | \(0.554938\pi\) | |||||||
\(608\) | 7.83273 | 0.317659 | ||||||||
\(609\) | 45.0122 | 1.82399 | ||||||||
\(610\) | −38.7830 | −1.57028 | ||||||||
\(611\) | −12.2349 | −0.494972 | ||||||||
\(612\) | 11.9316 | 0.482305 | ||||||||
\(613\) | −3.71525 | −0.150057 | −0.0750287 | − | 0.997181i | \(-0.523905\pi\) | ||||
−0.0750287 | + | 0.997181i | \(0.523905\pi\) | |||||||
\(614\) | 8.64534 | 0.348898 | ||||||||
\(615\) | 81.6980 | 3.29438 | ||||||||
\(616\) | −7.93088 | −0.319544 | ||||||||
\(617\) | −17.5091 | −0.704890 | −0.352445 | − | 0.935832i | \(-0.614650\pi\) | ||||
−0.352445 | + | 0.935832i | \(0.614650\pi\) | |||||||
\(618\) | 16.1023 | 0.647730 | ||||||||
\(619\) | 19.0680 | 0.766408 | 0.383204 | − | 0.923664i | \(-0.374821\pi\) | ||||
0.383204 | + | 0.923664i | \(0.374821\pi\) | |||||||
\(620\) | −26.7662 | −1.07496 | ||||||||
\(621\) | −7.86580 | −0.315644 | ||||||||
\(622\) | 20.8347 | 0.835393 | ||||||||
\(623\) | 22.8410 | 0.915106 | ||||||||
\(624\) | −6.97379 | −0.279175 | ||||||||
\(625\) | −26.7091 | −1.06836 | ||||||||
\(626\) | 26.6602 | 1.06555 | ||||||||
\(627\) | 83.6314 | 3.33992 | ||||||||
\(628\) | 20.9546 | 0.836179 | ||||||||
\(629\) | −7.47680 | −0.298120 | ||||||||
\(630\) | 38.4957 | 1.53370 | ||||||||
\(631\) | −11.5181 | −0.458529 | −0.229264 | − | 0.973364i | \(-0.573632\pi\) | ||||
−0.229264 | + | 0.973364i | \(0.573632\pi\) | |||||||
\(632\) | 17.7107 | 0.704493 | ||||||||
\(633\) | 33.7285 | 1.34059 | ||||||||
\(634\) | 28.7093 | 1.14019 | ||||||||
\(635\) | −18.8023 | −0.746146 | ||||||||
\(636\) | 1.42527 | 0.0565157 | ||||||||
\(637\) | −5.24763 | −0.207919 | ||||||||
\(638\) | 25.3399 | 1.00322 | ||||||||
\(639\) | 62.9674 | 2.49095 | ||||||||
\(640\) | 3.10338 | 0.122672 | ||||||||
\(641\) | 32.2720 | 1.27467 | 0.637334 | − | 0.770588i | \(-0.280037\pi\) | ||||
0.637334 | + | 0.770588i | \(0.280037\pi\) | |||||||
\(642\) | −31.2210 | −1.23219 | ||||||||
\(643\) | −21.8448 | −0.861477 | −0.430738 | − | 0.902477i | \(-0.641747\pi\) | ||||
−0.430738 | + | 0.902477i | \(0.641747\pi\) | |||||||
\(644\) | 2.18728 | 0.0861908 | ||||||||
\(645\) | −59.2792 | −2.33412 | ||||||||
\(646\) | 16.4792 | 0.648367 | ||||||||
\(647\) | −5.56417 | −0.218750 | −0.109375 | − | 0.994001i | \(-0.534885\pi\) | ||||
−0.109375 | + | 0.994001i | \(0.534885\pi\) | |||||||
\(648\) | −6.14878 | −0.241547 | ||||||||
\(649\) | −10.7989 | −0.423895 | ||||||||
\(650\) | −10.9673 | −0.430172 | ||||||||
\(651\) | −55.5515 | −2.17724 | ||||||||
\(652\) | −15.9931 | −0.626339 | ||||||||
\(653\) | 26.7343 | 1.04619 | 0.523097 | − | 0.852273i | \(-0.324777\pi\) | ||||
0.523097 | + | 0.852273i | \(0.324777\pi\) | |||||||
\(654\) | −26.1867 | −1.02398 | ||||||||
\(655\) | −3.10338 | −0.121259 | ||||||||
\(656\) | 8.94001 | 0.349049 | ||||||||
\(657\) | 19.3105 | 0.753374 | ||||||||
\(658\) | 11.2999 | 0.440516 | ||||||||
\(659\) | −29.7182 | −1.15766 | −0.578828 | − | 0.815449i | \(-0.696490\pi\) | ||||
−0.578828 | + | 0.815449i | \(0.696490\pi\) | |||||||
\(660\) | 33.1353 | 1.28979 | ||||||||
\(661\) | −32.1926 | −1.25215 | −0.626074 | − | 0.779764i | \(-0.715339\pi\) | ||||
−0.626074 | + | 0.779764i | \(0.715339\pi\) | |||||||
\(662\) | −27.2290 | −1.05829 | ||||||||
\(663\) | −14.6721 | −0.569818 | ||||||||
\(664\) | −12.1133 | −0.470088 | ||||||||
\(665\) | 53.1681 | 2.06177 | ||||||||
\(666\) | 20.1542 | 0.780960 | ||||||||
\(667\) | −6.98856 | −0.270598 | ||||||||
\(668\) | 17.4060 | 0.673460 | ||||||||
\(669\) | −36.0946 | −1.39550 | ||||||||
\(670\) | 8.24286 | 0.318450 | ||||||||
\(671\) | −45.3132 | −1.74930 | ||||||||
\(672\) | 6.44085 | 0.248461 | ||||||||
\(673\) | −24.7289 | −0.953229 | −0.476614 | − | 0.879112i | \(-0.658136\pi\) | ||||
−0.476614 | + | 0.879112i | \(0.658136\pi\) | |||||||
\(674\) | −32.8194 | −1.26416 | ||||||||
\(675\) | −36.4260 | −1.40204 | ||||||||
\(676\) | −7.39133 | −0.284282 | ||||||||
\(677\) | 19.8487 | 0.762846 | 0.381423 | − | 0.924401i | \(-0.375434\pi\) | ||||
0.381423 | + | 0.924401i | \(0.375434\pi\) | |||||||
\(678\) | 51.8243 | 1.99030 | ||||||||
\(679\) | −23.9208 | −0.917995 | ||||||||
\(680\) | 6.52917 | 0.250382 | ||||||||
\(681\) | −55.9537 | −2.14415 | ||||||||
\(682\) | −31.2730 | −1.19751 | ||||||||
\(683\) | 49.5924 | 1.89760 | 0.948801 | − | 0.315875i | \(-0.102298\pi\) | ||||
0.948801 | + | 0.315875i | \(0.102298\pi\) | |||||||
\(684\) | −44.4208 | −1.69847 | ||||||||
\(685\) | −15.4930 | −0.591957 | ||||||||
\(686\) | 20.1575 | 0.769619 | ||||||||
\(687\) | −34.8868 | −1.33101 | ||||||||
\(688\) | −6.48678 | −0.247306 | ||||||||
\(689\) | −1.14627 | −0.0436696 | ||||||||
\(690\) | −9.13847 | −0.347896 | ||||||||
\(691\) | 4.18250 | 0.159110 | 0.0795550 | − | 0.996830i | \(-0.474650\pi\) | ||||
0.0795550 | + | 0.996830i | \(0.474650\pi\) | |||||||
\(692\) | −6.34656 | −0.241260 | ||||||||
\(693\) | 44.9775 | 1.70855 | ||||||||
\(694\) | 8.08355 | 0.306847 | ||||||||
\(695\) | −54.4378 | −2.06494 | ||||||||
\(696\) | −20.5791 | −0.780049 | ||||||||
\(697\) | 18.8088 | 0.712436 | ||||||||
\(698\) | −11.8759 | −0.449510 | ||||||||
\(699\) | 48.7166 | 1.84263 | ||||||||
\(700\) | 10.1291 | 0.382846 | ||||||||
\(701\) | 20.5458 | 0.776004 | 0.388002 | − | 0.921659i | \(-0.373165\pi\) | ||||
0.388002 | + | 0.921659i | \(0.373165\pi\) | |||||||
\(702\) | 18.6283 | 0.703079 | ||||||||
\(703\) | 27.8359 | 1.04985 | ||||||||
\(704\) | 3.62591 | 0.136657 | ||||||||
\(705\) | −47.2111 | −1.77807 | ||||||||
\(706\) | −8.38985 | −0.315756 | ||||||||
\(707\) | 5.18655 | 0.195060 | ||||||||
\(708\) | 8.77007 | 0.329599 | ||||||||
\(709\) | 7.59865 | 0.285373 | 0.142687 | − | 0.989768i | \(-0.454426\pi\) | ||||
0.142687 | + | 0.989768i | \(0.454426\pi\) | |||||||
\(710\) | 34.4569 | 1.29315 | ||||||||
\(711\) | −100.440 | −3.76681 | ||||||||
\(712\) | −10.4427 | −0.391356 | ||||||||
\(713\) | 8.62487 | 0.323004 | ||||||||
\(714\) | 13.5509 | 0.507128 | ||||||||
\(715\) | −26.6490 | −0.996617 | ||||||||
\(716\) | −19.4219 | −0.725832 | ||||||||
\(717\) | −12.4854 | −0.466276 | ||||||||
\(718\) | 35.4681 | 1.32366 | ||||||||
\(719\) | −33.4537 | −1.24761 | −0.623806 | − | 0.781579i | \(-0.714415\pi\) | ||||
−0.623806 | + | 0.781579i | \(0.714415\pi\) | |||||||
\(720\) | −17.5998 | −0.655906 | ||||||||
\(721\) | 11.9606 | 0.445436 | ||||||||
\(722\) | −42.3516 | −1.57616 | ||||||||
\(723\) | 35.7563 | 1.32979 | ||||||||
\(724\) | 1.49109 | 0.0554160 | ||||||||
\(725\) | −32.3636 | −1.20195 | ||||||||
\(726\) | 6.32297 | 0.234667 | ||||||||
\(727\) | 5.83441 | 0.216386 | 0.108193 | − | 0.994130i | \(-0.465494\pi\) | ||||
0.108193 | + | 0.994130i | \(0.465494\pi\) | |||||||
\(728\) | −5.18005 | −0.191985 | ||||||||
\(729\) | −34.6161 | −1.28208 | ||||||||
\(730\) | 10.5671 | 0.391104 | ||||||||
\(731\) | −13.6475 | −0.504771 | ||||||||
\(732\) | 36.7999 | 1.36016 | ||||||||
\(733\) | −29.1527 | −1.07678 | −0.538389 | − | 0.842696i | \(-0.680967\pi\) | ||||
−0.538389 | + | 0.842696i | \(0.680967\pi\) | |||||||
\(734\) | −0.676424 | −0.0249673 | ||||||||
\(735\) | −20.2492 | −0.746902 | ||||||||
\(736\) | −1.00000 | −0.0368605 | ||||||||
\(737\) | 9.63078 | 0.354754 | ||||||||
\(738\) | −50.7005 | −1.86631 | ||||||||
\(739\) | −27.7366 | −1.02031 | −0.510153 | − | 0.860084i | \(-0.670411\pi\) | ||||
−0.510153 | + | 0.860084i | \(0.670411\pi\) | |||||||
\(740\) | 11.0288 | 0.405425 | ||||||||
\(741\) | 54.6238 | 2.00666 | ||||||||
\(742\) | 1.05867 | 0.0388652 | ||||||||
\(743\) | −27.0473 | −0.992271 | −0.496135 | − | 0.868245i | \(-0.665248\pi\) | ||||
−0.496135 | + | 0.868245i | \(0.665248\pi\) | |||||||
\(744\) | 25.3976 | 0.931120 | ||||||||
\(745\) | −49.2284 | −1.80359 | ||||||||
\(746\) | −6.07299 | −0.222348 | ||||||||
\(747\) | 68.6969 | 2.51349 | ||||||||
\(748\) | 7.62854 | 0.278927 | ||||||||
\(749\) | −23.1906 | −0.847365 | ||||||||
\(750\) | 3.37266 | 0.123152 | ||||||||
\(751\) | −12.9927 | −0.474112 | −0.237056 | − | 0.971496i | \(-0.576182\pi\) | ||||
−0.237056 | + | 0.971496i | \(0.576182\pi\) | |||||||
\(752\) | −5.16620 | −0.188392 | ||||||||
\(753\) | 49.8043 | 1.81497 | ||||||||
\(754\) | 16.5507 | 0.602742 | ||||||||
\(755\) | 46.0631 | 1.67641 | ||||||||
\(756\) | −17.2047 | −0.625729 | ||||||||
\(757\) | −6.19153 | −0.225035 | −0.112517 | − | 0.993650i | \(-0.535891\pi\) | ||||
−0.112517 | + | 0.993650i | \(0.535891\pi\) | |||||||
\(758\) | −36.2852 | −1.31794 | ||||||||
\(759\) | −10.6772 | −0.387557 | ||||||||
\(760\) | −24.3079 | −0.881740 | ||||||||
\(761\) | 44.2892 | 1.60548 | 0.802741 | − | 0.596327i | \(-0.203374\pi\) | ||||
0.802741 | + | 0.596327i | \(0.203374\pi\) | |||||||
\(762\) | 17.8409 | 0.646306 | ||||||||
\(763\) | −19.4512 | −0.704180 | ||||||||
\(764\) | 10.1041 | 0.365555 | ||||||||
\(765\) | −37.0281 | −1.33876 | ||||||||
\(766\) | −0.322645 | −0.0116576 | ||||||||
\(767\) | −7.05332 | −0.254681 | ||||||||
\(768\) | −2.94469 | −0.106257 | ||||||||
\(769\) | −12.2490 | −0.441711 | −0.220855 | − | 0.975307i | \(-0.570885\pi\) | ||||
−0.220855 | + | 0.975307i | \(0.570885\pi\) | |||||||
\(770\) | 24.6125 | 0.886973 | ||||||||
\(771\) | 73.1301 | 2.63372 | ||||||||
\(772\) | 5.66583 | 0.203918 | ||||||||
\(773\) | 9.67856 | 0.348114 | 0.174057 | − | 0.984736i | \(-0.444312\pi\) | ||||
0.174057 | + | 0.984736i | \(0.444312\pi\) | |||||||
\(774\) | 36.7877 | 1.32231 | ||||||||
\(775\) | 39.9413 | 1.43473 | ||||||||
\(776\) | 10.9363 | 0.392591 | ||||||||
\(777\) | 22.8894 | 0.821154 | ||||||||
\(778\) | −26.8223 | −0.961627 | ||||||||
\(779\) | −70.0247 | −2.50889 | ||||||||
\(780\) | 21.6423 | 0.774919 | ||||||||
\(781\) | 40.2587 | 1.44057 | ||||||||
\(782\) | −2.10389 | −0.0752351 | ||||||||
\(783\) | 54.9706 | 1.96449 | ||||||||
\(784\) | −2.21582 | −0.0791363 | ||||||||
\(785\) | −65.0299 | −2.32102 | ||||||||
\(786\) | 2.94469 | 0.105034 | ||||||||
\(787\) | −36.5828 | −1.30404 | −0.652018 | − | 0.758203i | \(-0.726077\pi\) | ||||
−0.652018 | + | 0.758203i | \(0.726077\pi\) | |||||||
\(788\) | 16.5679 | 0.590208 | ||||||||
\(789\) | 81.5732 | 2.90408 | ||||||||
\(790\) | −54.9628 | −1.95549 | ||||||||
\(791\) | 38.4945 | 1.36871 | ||||||||
\(792\) | −20.5632 | −0.730682 | ||||||||
\(793\) | −29.5963 | −1.05100 | ||||||||
\(794\) | −9.55849 | −0.339218 | ||||||||
\(795\) | −4.42315 | −0.156873 | ||||||||
\(796\) | −18.5510 | −0.657523 | ||||||||
\(797\) | 14.2359 | 0.504262 | 0.252131 | − | 0.967693i | \(-0.418869\pi\) | ||||
0.252131 | + | 0.967693i | \(0.418869\pi\) | |||||||
\(798\) | −50.4494 | −1.78589 | ||||||||
\(799\) | −10.8691 | −0.384522 | ||||||||
\(800\) | −4.63094 | −0.163728 | ||||||||
\(801\) | 59.2223 | 2.09252 | ||||||||
\(802\) | 5.91647 | 0.208918 | ||||||||
\(803\) | 12.3463 | 0.435692 | ||||||||
\(804\) | −7.82137 | −0.275839 | ||||||||
\(805\) | −6.78794 | −0.239244 | ||||||||
\(806\) | −20.4260 | −0.719474 | ||||||||
\(807\) | 25.1820 | 0.886449 | ||||||||
\(808\) | −2.37124 | −0.0834198 | ||||||||
\(809\) | −28.0023 | −0.984508 | −0.492254 | − | 0.870452i | \(-0.663827\pi\) | ||||
−0.492254 | + | 0.870452i | \(0.663827\pi\) | |||||||
\(810\) | 19.0820 | 0.670472 | ||||||||
\(811\) | −36.6956 | −1.28856 | −0.644278 | − | 0.764791i | \(-0.722842\pi\) | ||||
−0.644278 | + | 0.764791i | \(0.722842\pi\) | |||||||
\(812\) | −15.2859 | −0.536431 | ||||||||
\(813\) | −16.4493 | −0.576903 | ||||||||
\(814\) | 12.8857 | 0.451645 | ||||||||
\(815\) | 49.6326 | 1.73856 | ||||||||
\(816\) | −6.19531 | −0.216879 | ||||||||
\(817\) | 50.8092 | 1.77759 | ||||||||
\(818\) | 32.3124 | 1.12978 | ||||||||
\(819\) | 29.3770 | 1.02652 | ||||||||
\(820\) | −27.7442 | −0.968870 | ||||||||
\(821\) | 45.2201 | 1.57819 | 0.789096 | − | 0.614270i | \(-0.210550\pi\) | ||||
0.789096 | + | 0.614270i | \(0.210550\pi\) | |||||||
\(822\) | 14.7008 | 0.512749 | ||||||||
\(823\) | 35.2499 | 1.22873 | 0.614367 | − | 0.789020i | \(-0.289411\pi\) | ||||
0.614367 | + | 0.789020i | \(0.289411\pi\) | |||||||
\(824\) | −5.46826 | −0.190496 | ||||||||
\(825\) | −49.4454 | −1.72147 | ||||||||
\(826\) | 6.51430 | 0.226661 | ||||||||
\(827\) | −32.6500 | −1.13535 | −0.567676 | − | 0.823252i | \(-0.692157\pi\) | ||||
−0.567676 | + | 0.823252i | \(0.692157\pi\) | |||||||
\(828\) | 5.67118 | 0.197087 | ||||||||
\(829\) | −44.1424 | −1.53313 | −0.766565 | − | 0.642166i | \(-0.778036\pi\) | ||||
−0.766565 | + | 0.642166i | \(0.778036\pi\) | |||||||
\(830\) | 37.5922 | 1.30484 | ||||||||
\(831\) | 73.3933 | 2.54599 | ||||||||
\(832\) | 2.36826 | 0.0821047 | ||||||||
\(833\) | −4.66184 | −0.161523 | ||||||||
\(834\) | 51.6542 | 1.78864 | ||||||||
\(835\) | −54.0175 | −1.86935 | ||||||||
\(836\) | −28.4008 | −0.982262 | ||||||||
\(837\) | −67.8416 | −2.34495 | ||||||||
\(838\) | −21.7720 | −0.752102 | ||||||||
\(839\) | −3.42614 | −0.118283 | −0.0591417 | − | 0.998250i | \(-0.518836\pi\) | ||||
−0.0591417 | + | 0.998250i | \(0.518836\pi\) | |||||||
\(840\) | −19.9884 | −0.689664 | ||||||||
\(841\) | 19.8399 | 0.684136 | ||||||||
\(842\) | −36.4888 | −1.25749 | ||||||||
\(843\) | 90.9288 | 3.13175 | ||||||||
\(844\) | −11.4540 | −0.394264 | ||||||||
\(845\) | 22.9381 | 0.789094 | ||||||||
\(846\) | 29.2985 | 1.00730 | ||||||||
\(847\) | 4.69662 | 0.161378 | ||||||||
\(848\) | −0.484015 | −0.0166211 | ||||||||
\(849\) | −34.1531 | −1.17213 | ||||||||
\(850\) | −9.74300 | −0.334182 | ||||||||
\(851\) | −3.55379 | −0.121822 | ||||||||
\(852\) | −32.6950 | −1.12011 | ||||||||
\(853\) | 30.7936 | 1.05435 | 0.527176 | − | 0.849756i | \(-0.323251\pi\) | ||||
0.527176 | + | 0.849756i | \(0.323251\pi\) | |||||||
\(854\) | 27.3345 | 0.935368 | ||||||||
\(855\) | 137.855 | 4.71453 | ||||||||
\(856\) | 10.6025 | 0.362385 | ||||||||
\(857\) | −5.53233 | −0.188981 | −0.0944904 | − | 0.995526i | \(-0.530122\pi\) | ||||
−0.0944904 | + | 0.995526i | \(0.530122\pi\) | |||||||
\(858\) | 25.2864 | 0.863262 | ||||||||
\(859\) | 23.4669 | 0.800680 | 0.400340 | − | 0.916367i | \(-0.368892\pi\) | ||||
0.400340 | + | 0.916367i | \(0.368892\pi\) | |||||||
\(860\) | 20.1309 | 0.686458 | ||||||||
\(861\) | −57.5813 | −1.96236 | ||||||||
\(862\) | −4.27848 | −0.145726 | ||||||||
\(863\) | −20.3034 | −0.691136 | −0.345568 | − | 0.938394i | \(-0.612314\pi\) | ||||
−0.345568 | + | 0.938394i | \(0.612314\pi\) | |||||||
\(864\) | 7.86580 | 0.267600 | ||||||||
\(865\) | 19.6957 | 0.669675 | ||||||||
\(866\) | −33.7058 | −1.14537 | ||||||||
\(867\) | 37.0254 | 1.25745 | ||||||||
\(868\) | 18.8650 | 0.640320 | ||||||||
\(869\) | −64.2173 | −2.17842 | ||||||||
\(870\) | 63.8647 | 2.16522 | ||||||||
\(871\) | 6.29033 | 0.213140 | ||||||||
\(872\) | 8.89287 | 0.301151 | ||||||||
\(873\) | −62.0219 | −2.09912 | ||||||||
\(874\) | 7.83273 | 0.264946 | ||||||||
\(875\) | 2.50517 | 0.0846903 | ||||||||
\(876\) | −10.0267 | −0.338772 | ||||||||
\(877\) | 18.6966 | 0.631340 | 0.315670 | − | 0.948869i | \(-0.397771\pi\) | ||||
0.315670 | + | 0.948869i | \(0.397771\pi\) | |||||||
\(878\) | 20.8215 | 0.702692 | ||||||||
\(879\) | −79.6121 | −2.68525 | ||||||||
\(880\) | −11.2526 | −0.379324 | ||||||||
\(881\) | 22.7740 | 0.767276 | 0.383638 | − | 0.923484i | \(-0.374671\pi\) | ||||
0.383638 | + | 0.923484i | \(0.374671\pi\) | |||||||
\(882\) | 12.5663 | 0.423129 | ||||||||
\(883\) | −38.1457 | −1.28371 | −0.641853 | − | 0.766828i | \(-0.721834\pi\) | ||||
−0.641853 | + | 0.766828i | \(0.721834\pi\) | |||||||
\(884\) | 4.98257 | 0.167582 | ||||||||
\(885\) | −27.2168 | −0.914883 | ||||||||
\(886\) | 14.9194 | 0.501227 | ||||||||
\(887\) | −8.21436 | −0.275811 | −0.137906 | − | 0.990445i | \(-0.544037\pi\) | ||||
−0.137906 | + | 0.990445i | \(0.544037\pi\) | |||||||
\(888\) | −10.4648 | −0.351176 | ||||||||
\(889\) | 13.2520 | 0.444457 | ||||||||
\(890\) | 32.4075 | 1.08630 | ||||||||
\(891\) | 22.2949 | 0.746909 | ||||||||
\(892\) | 12.2575 | 0.410412 | ||||||||
\(893\) | 40.4654 | 1.35412 | ||||||||
\(894\) | 46.7112 | 1.56226 | ||||||||
\(895\) | 60.2735 | 2.01472 | ||||||||
\(896\) | −2.18728 | −0.0730718 | ||||||||
\(897\) | −6.97379 | −0.232848 | ||||||||
\(898\) | 26.4598 | 0.882975 | ||||||||
\(899\) | −60.2754 | −2.01030 | ||||||||
\(900\) | 26.2629 | 0.875430 | ||||||||
\(901\) | −1.01832 | −0.0339250 | ||||||||
\(902\) | −32.4157 | −1.07932 | ||||||||
\(903\) | 41.7804 | 1.39036 | ||||||||
\(904\) | −17.5993 | −0.585343 | ||||||||
\(905\) | −4.62742 | −0.153821 | ||||||||
\(906\) | −43.7077 | −1.45209 | ||||||||
\(907\) | 24.1789 | 0.802847 | 0.401423 | − | 0.915893i | \(-0.368516\pi\) | ||||
0.401423 | + | 0.915893i | \(0.368516\pi\) | |||||||
\(908\) | 19.0016 | 0.630589 | ||||||||
\(909\) | 13.4477 | 0.446032 | ||||||||
\(910\) | 16.0756 | 0.532902 | ||||||||
\(911\) | −16.7466 | −0.554840 | −0.277420 | − | 0.960749i | \(-0.589479\pi\) | ||||
−0.277420 | + | 0.960749i | \(0.589479\pi\) | |||||||
\(912\) | 23.0649 | 0.763756 | ||||||||
\(913\) | 43.9219 | 1.45360 | ||||||||
\(914\) | −7.95332 | −0.263072 | ||||||||
\(915\) | −114.204 | −3.77546 | ||||||||
\(916\) | 11.8474 | 0.391448 | ||||||||
\(917\) | 2.18728 | 0.0722303 | ||||||||
\(918\) | 16.5488 | 0.546192 | ||||||||
\(919\) | −36.3207 | −1.19811 | −0.599054 | − | 0.800708i | \(-0.704457\pi\) | ||||
−0.599054 | + | 0.800708i | \(0.704457\pi\) | |||||||
\(920\) | 3.10338 | 0.102315 | ||||||||
\(921\) | 25.4578 | 0.838864 | ||||||||
\(922\) | 2.10206 | 0.0692277 | ||||||||
\(923\) | 26.2949 | 0.865508 | ||||||||
\(924\) | −23.3540 | −0.768289 | ||||||||
\(925\) | −16.4574 | −0.541116 | ||||||||
\(926\) | 16.4349 | 0.540086 | ||||||||
\(927\) | 31.0115 | 1.01855 | ||||||||
\(928\) | 6.98856 | 0.229411 | ||||||||
\(929\) | 49.7041 | 1.63074 | 0.815369 | − | 0.578941i | \(-0.196534\pi\) | ||||
0.815369 | + | 0.578941i | \(0.196534\pi\) | |||||||
\(930\) | −78.8182 | −2.58455 | ||||||||
\(931\) | 17.3559 | 0.568816 | ||||||||
\(932\) | −16.5439 | −0.541914 | ||||||||
\(933\) | 61.3515 | 2.00856 | ||||||||
\(934\) | −1.76742 | −0.0578317 | ||||||||
\(935\) | −23.6742 | −0.774230 | ||||||||
\(936\) | −13.4309 | −0.439001 | ||||||||
\(937\) | −5.30193 | −0.173207 | −0.0866033 | − | 0.996243i | \(-0.527601\pi\) | ||||
−0.0866033 | + | 0.996243i | \(0.527601\pi\) | |||||||
\(938\) | −5.80962 | −0.189691 | ||||||||
\(939\) | 78.5058 | 2.56194 | ||||||||
\(940\) | 16.0326 | 0.522927 | ||||||||
\(941\) | −11.9137 | −0.388375 | −0.194188 | − | 0.980964i | \(-0.562207\pi\) | ||||
−0.194188 | + | 0.980964i | \(0.562207\pi\) | |||||||
\(942\) | 61.7047 | 2.01045 | ||||||||
\(943\) | 8.94001 | 0.291127 | ||||||||
\(944\) | −2.97827 | −0.0969344 | ||||||||
\(945\) | 53.3926 | 1.73686 | ||||||||
\(946\) | 23.5205 | 0.764717 | ||||||||
\(947\) | −22.9230 | −0.744897 | −0.372449 | − | 0.928053i | \(-0.621482\pi\) | ||||
−0.372449 | + | 0.928053i | \(0.621482\pi\) | |||||||
\(948\) | 52.1524 | 1.69383 | ||||||||
\(949\) | 8.06398 | 0.261768 | ||||||||
\(950\) | 36.2729 | 1.17685 | ||||||||
\(951\) | 84.5399 | 2.74140 | ||||||||
\(952\) | −4.60180 | −0.149145 | ||||||||
\(953\) | 36.4016 | 1.17916 | 0.589582 | − | 0.807708i | \(-0.299292\pi\) | ||||
0.589582 | + | 0.807708i | \(0.299292\pi\) | |||||||
\(954\) | 2.74494 | 0.0888706 | ||||||||
\(955\) | −31.3569 | −1.01469 | ||||||||
\(956\) | 4.23998 | 0.137131 | ||||||||
\(957\) | 74.6181 | 2.41206 | ||||||||
\(958\) | −0.341661 | −0.0110386 | ||||||||
\(959\) | 10.9196 | 0.352611 | ||||||||
\(960\) | 9.13847 | 0.294943 | ||||||||
\(961\) | 43.3884 | 1.39963 | ||||||||
\(962\) | 8.41631 | 0.271353 | ||||||||
\(963\) | −60.1286 | −1.93762 | ||||||||
\(964\) | −12.1426 | −0.391088 | ||||||||
\(965\) | −17.5832 | −0.566023 | ||||||||
\(966\) | 6.44085 | 0.207231 | ||||||||
\(967\) | 17.6323 | 0.567017 | 0.283508 | − | 0.958970i | \(-0.408502\pi\) | ||||
0.283508 | + | 0.958970i | \(0.408502\pi\) | |||||||
\(968\) | −2.14725 | −0.0690151 | ||||||||
\(969\) | 48.5262 | 1.55889 | ||||||||
\(970\) | −33.9395 | −1.08973 | ||||||||
\(971\) | −29.8520 | −0.957997 | −0.478999 | − | 0.877816i | \(-0.659000\pi\) | ||||
−0.478999 | + | 0.877816i | \(0.659000\pi\) | |||||||
\(972\) | 5.49117 | 0.176129 | ||||||||
\(973\) | 38.3681 | 1.23002 | ||||||||
\(974\) | −3.60667 | −0.115565 | ||||||||
\(975\) | −32.2952 | −1.03427 | ||||||||
\(976\) | −12.4970 | −0.400021 | ||||||||
\(977\) | 26.6042 | 0.851142 | 0.425571 | − | 0.904925i | \(-0.360073\pi\) | ||||
0.425571 | + | 0.904925i | \(0.360073\pi\) | |||||||
\(978\) | −47.0947 | −1.50592 | ||||||||
\(979\) | 37.8642 | 1.21015 | ||||||||
\(980\) | 6.87651 | 0.219662 | ||||||||
\(981\) | −50.4331 | −1.61021 | ||||||||
\(982\) | 37.2123 | 1.18749 | ||||||||
\(983\) | −40.9438 | −1.30590 | −0.652952 | − | 0.757399i | \(-0.726470\pi\) | ||||
−0.652952 | + | 0.757399i | \(0.726470\pi\) | |||||||
\(984\) | 26.3255 | 0.839228 | ||||||||
\(985\) | −51.4165 | −1.63827 | ||||||||
\(986\) | 14.7032 | 0.468245 | ||||||||
\(987\) | 33.2747 | 1.05915 | ||||||||
\(988\) | −18.5500 | −0.590153 | ||||||||
\(989\) | −6.48678 | −0.206268 | ||||||||
\(990\) | 63.8154 | 2.02819 | ||||||||
\(991\) | −20.5602 | −0.653116 | −0.326558 | − | 0.945177i | \(-0.605889\pi\) | ||||
−0.326558 | + | 0.945177i | \(0.605889\pi\) | |||||||
\(992\) | −8.62487 | −0.273840 | ||||||||
\(993\) | −80.1810 | −2.54447 | ||||||||
\(994\) | −24.2855 | −0.770288 | ||||||||
\(995\) | 57.5707 | 1.82511 | ||||||||
\(996\) | −35.6700 | −1.13025 | ||||||||
\(997\) | 7.19606 | 0.227902 | 0.113951 | − | 0.993486i | \(-0.463649\pi\) | ||||
0.113951 | + | 0.993486i | \(0.463649\pi\) | |||||||
\(998\) | −19.3933 | −0.613884 | ||||||||
\(999\) | 27.9534 | 0.884407 |
(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.i.1.2 | ✓ | 25 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
6026.2.a.i.1.2 | ✓ | 25 | 1.1 | even | 1 | trivial |