Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [3025,2,Mod(1,3025)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(3025, 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("3025.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 3025 = 5^{2} \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 3025.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: | \(24.1547466114\) |
Analytic rank: | \(1\) |
Dimension: | \(8\) |
Coefficient field: | 8.8.1480160000.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 9x^{6} + 27x^{4} - 31x^{2} + 11 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 55) |
Fricke sign: | \(1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.5 | ||
Root | \(0.802699\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 3025.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.802699 | 0.567594 | 0.283797 | − | 0.958884i | \(-0.408406\pi\) | ||||
0.283797 | + | 0.958884i | \(0.408406\pi\) | |||||||
\(3\) | −1.76074 | −1.01656 | −0.508282 | − | 0.861190i | \(-0.669719\pi\) | ||||
−0.508282 | + | 0.861190i | \(0.669719\pi\) | |||||||
\(4\) | −1.35567 | −0.677837 | ||||||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −1.41335 | −0.576996 | ||||||||
\(7\) | 0.592103 | 0.223794 | 0.111897 | − | 0.993720i | \(-0.464307\pi\) | ||||
0.111897 | + | 0.993720i | \(0.464307\pi\) | |||||||
\(8\) | −2.69360 | −0.952330 | ||||||||
\(9\) | 0.100212 | 0.0334042 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 2.38699 | 0.689065 | ||||||||
\(13\) | −1.79489 | −0.497813 | −0.248906 | − | 0.968528i | \(-0.580071\pi\) | ||||
−0.248906 | + | 0.968528i | \(0.580071\pi\) | |||||||
\(14\) | 0.475281 | 0.127024 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.549201 | 0.137300 | ||||||||
\(17\) | 7.07712 | 1.71645 | 0.858226 | − | 0.513271i | \(-0.171567\pi\) | ||||
0.858226 | + | 0.513271i | \(0.171567\pi\) | |||||||
\(18\) | 0.0804405 | 0.0189600 | ||||||||
\(19\) | 2.28684 | 0.524637 | 0.262319 | − | 0.964981i | \(-0.415513\pi\) | ||||
0.262319 | + | 0.964981i | \(0.415513\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.04254 | −0.227501 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.49081 | −0.310855 | −0.155428 | − | 0.987847i | \(-0.549676\pi\) | ||||
−0.155428 | + | 0.987847i | \(0.549676\pi\) | |||||||
\(24\) | 4.74273 | 0.968105 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −1.44076 | −0.282556 | ||||||||
\(27\) | 5.10578 | 0.982607 | ||||||||
\(28\) | −0.802699 | −0.151696 | ||||||||
\(29\) | −3.57549 | −0.663952 | −0.331976 | − | 0.943288i | \(-0.607715\pi\) | ||||
−0.331976 | + | 0.943288i | \(0.607715\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 6.16724 | 1.10767 | 0.553834 | − | 0.832627i | \(-0.313164\pi\) | ||||
0.553834 | + | 0.832627i | \(0.313164\pi\) | |||||||
\(32\) | 5.82804 | 1.03026 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 5.68079 | 0.974248 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.135855 | −0.0226426 | ||||||||
\(37\) | −7.33743 | −1.20627 | −0.603133 | − | 0.797641i | \(-0.706081\pi\) | ||||
−0.603133 | + | 0.797641i | \(0.706081\pi\) | |||||||
\(38\) | 1.83565 | 0.297781 | ||||||||
\(39\) | 3.16034 | 0.506059 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −8.41020 | −1.31345 | −0.656726 | − | 0.754129i | \(-0.728059\pi\) | ||||
−0.656726 | + | 0.754129i | \(0.728059\pi\) | |||||||
\(42\) | −0.836847 | −0.129128 | ||||||||
\(43\) | 9.51936 | 1.45169 | 0.725844 | − | 0.687859i | \(-0.241449\pi\) | ||||
0.725844 | + | 0.687859i | \(0.241449\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.19667 | −0.176440 | ||||||||
\(47\) | −1.93165 | −0.281761 | −0.140880 | − | 0.990027i | \(-0.544993\pi\) | ||||
−0.140880 | + | 0.990027i | \(0.544993\pi\) | |||||||
\(48\) | −0.967002 | −0.139575 | ||||||||
\(49\) | −6.64941 | −0.949916 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −12.4610 | −1.74489 | ||||||||
\(52\) | 2.43329 | 0.337436 | ||||||||
\(53\) | −2.38291 | −0.327318 | −0.163659 | − | 0.986517i | \(-0.552330\pi\) | ||||
−0.163659 | + | 0.986517i | \(0.552330\pi\) | |||||||
\(54\) | 4.09840 | 0.557722 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −1.59489 | −0.213126 | ||||||||
\(57\) | −4.02654 | −0.533328 | ||||||||
\(58\) | −2.87004 | −0.376855 | ||||||||
\(59\) | −0.0382778 | −0.00498334 | −0.00249167 | − | 0.999997i | \(-0.500793\pi\) | ||||
−0.00249167 | + | 0.999997i | \(0.500793\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.44158 | 0.440649 | 0.220325 | − | 0.975427i | \(-0.429288\pi\) | ||||
0.220325 | + | 0.975427i | \(0.429288\pi\) | |||||||
\(62\) | 4.95043 | 0.628706 | ||||||||
\(63\) | 0.0593361 | 0.00747565 | ||||||||
\(64\) | 3.57976 | 0.447470 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −6.79162 | −0.829728 | −0.414864 | − | 0.909883i | \(-0.636171\pi\) | ||||
−0.414864 | + | 0.909883i | \(0.636171\pi\) | |||||||
\(68\) | −9.59426 | −1.16348 | ||||||||
\(69\) | 2.62493 | 0.316005 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −11.7935 | −1.39963 | −0.699816 | − | 0.714324i | \(-0.746735\pi\) | ||||
−0.699816 | + | 0.714324i | \(0.746735\pi\) | |||||||
\(72\) | −0.269932 | −0.0318118 | ||||||||
\(73\) | 6.82275 | 0.798543 | 0.399271 | − | 0.916833i | \(-0.369263\pi\) | ||||
0.399271 | + | 0.916833i | \(0.369263\pi\) | |||||||
\(74\) | −5.88974 | −0.684669 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.10021 | −0.355619 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 2.53680 | 0.287236 | ||||||||
\(79\) | −4.52605 | −0.509221 | −0.254610 | − | 0.967044i | \(-0.581947\pi\) | ||||
−0.254610 | + | 0.967044i | \(0.581947\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −9.29059 | −1.03229 | ||||||||
\(82\) | −6.75086 | −0.745508 | ||||||||
\(83\) | 5.94262 | 0.652288 | 0.326144 | − | 0.945320i | \(-0.394251\pi\) | ||||
0.326144 | + | 0.945320i | \(0.394251\pi\) | |||||||
\(84\) | 1.41335 | 0.154209 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 7.64118 | 0.823970 | ||||||||
\(87\) | 6.29552 | 0.674951 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −6.21375 | −0.658656 | −0.329328 | − | 0.944216i | \(-0.606822\pi\) | ||||
−0.329328 | + | 0.944216i | \(0.606822\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.06276 | −0.111407 | ||||||||
\(92\) | 2.02105 | 0.210709 | ||||||||
\(93\) | −10.8589 | −1.12602 | ||||||||
\(94\) | −1.55054 | −0.159926 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −10.2617 | −1.04733 | ||||||||
\(97\) | 5.37571 | 0.545821 | 0.272910 | − | 0.962039i | \(-0.412014\pi\) | ||||
0.272910 | + | 0.962039i | \(0.412014\pi\) | |||||||
\(98\) | −5.33748 | −0.539167 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 9.93130 | 0.988201 | 0.494101 | − | 0.869405i | \(-0.335497\pi\) | ||||
0.494101 | + | 0.869405i | \(0.335497\pi\) | |||||||
\(102\) | −10.0024 | −0.990386 | ||||||||
\(103\) | −13.5214 | −1.33230 | −0.666150 | − | 0.745818i | \(-0.732059\pi\) | ||||
−0.666150 | + | 0.745818i | \(0.732059\pi\) | |||||||
\(104\) | 4.83471 | 0.474082 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.91276 | −0.185784 | ||||||||
\(107\) | −5.60440 | −0.541798 | −0.270899 | − | 0.962608i | \(-0.587321\pi\) | ||||
−0.270899 | + | 0.962608i | \(0.587321\pi\) | |||||||
\(108\) | −6.92177 | −0.666048 | ||||||||
\(109\) | −18.6001 | −1.78157 | −0.890784 | − | 0.454428i | \(-0.849844\pi\) | ||||
−0.890784 | + | 0.454428i | \(0.849844\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 12.9193 | 1.22625 | ||||||||
\(112\) | 0.325184 | 0.0307270 | ||||||||
\(113\) | 11.8014 | 1.11018 | 0.555091 | − | 0.831790i | \(-0.312684\pi\) | ||||
0.555091 | + | 0.831790i | \(0.312684\pi\) | |||||||
\(114\) | −3.23210 | −0.302714 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 4.84720 | 0.450052 | ||||||||
\(117\) | −0.179870 | −0.0166290 | ||||||||
\(118\) | −0.0307255 | −0.00282851 | ||||||||
\(119\) | 4.19038 | 0.384132 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 2.76255 | 0.250110 | ||||||||
\(123\) | 14.8082 | 1.33521 | ||||||||
\(124\) | −8.36076 | −0.750819 | ||||||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0.0476291 | 0.00424313 | ||||||||
\(127\) | −16.0566 | −1.42479 | −0.712397 | − | 0.701777i | \(-0.752390\pi\) | ||||
−0.712397 | + | 0.701777i | \(0.752390\pi\) | |||||||
\(128\) | −8.78261 | −0.776280 | ||||||||
\(129\) | −16.7611 | −1.47574 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −18.0296 | −1.57525 | −0.787625 | − | 0.616154i | \(-0.788690\pi\) | ||||
−0.787625 | + | 0.616154i | \(0.788690\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.35405 | 0.117411 | ||||||||
\(134\) | −5.45162 | −0.470949 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −19.0629 | −1.63463 | ||||||||
\(137\) | 4.03208 | 0.344483 | 0.172242 | − | 0.985055i | \(-0.444899\pi\) | ||||
0.172242 | + | 0.985055i | \(0.444899\pi\) | |||||||
\(138\) | 2.10703 | 0.179362 | ||||||||
\(139\) | −7.93492 | −0.673031 | −0.336516 | − | 0.941678i | \(-0.609248\pi\) | ||||
−0.336516 | + | 0.941678i | \(0.609248\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 3.40114 | 0.286428 | ||||||||
\(142\) | −9.46663 | −0.794422 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 0.0550368 | 0.00458640 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 5.47662 | 0.453248 | ||||||||
\(147\) | 11.7079 | 0.965652 | ||||||||
\(148\) | 9.94716 | 0.817652 | ||||||||
\(149\) | −12.5009 | −1.02411 | −0.512056 | − | 0.858952i | \(-0.671116\pi\) | ||||
−0.512056 | + | 0.858952i | \(0.671116\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −8.40248 | −0.683784 | −0.341892 | − | 0.939739i | \(-0.611068\pi\) | ||||
−0.341892 | + | 0.939739i | \(0.611068\pi\) | |||||||
\(152\) | −6.15983 | −0.499628 | ||||||||
\(153\) | 0.709215 | 0.0573367 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −4.28439 | −0.343026 | ||||||||
\(157\) | 13.9959 | 1.11699 | 0.558496 | − | 0.829507i | \(-0.311379\pi\) | ||||
0.558496 | + | 0.829507i | \(0.311379\pi\) | |||||||
\(158\) | −3.63306 | −0.289031 | ||||||||
\(159\) | 4.19569 | 0.332740 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −0.882713 | −0.0695676 | ||||||||
\(162\) | −7.45755 | −0.585921 | ||||||||
\(163\) | 11.8415 | 0.927496 | 0.463748 | − | 0.885967i | \(-0.346504\pi\) | ||||
0.463748 | + | 0.885967i | \(0.346504\pi\) | |||||||
\(164\) | 11.4015 | 0.890307 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 4.77014 | 0.370235 | ||||||||
\(167\) | −8.72628 | −0.675260 | −0.337630 | − | 0.941279i | \(-0.609625\pi\) | ||||
−0.337630 | + | 0.941279i | \(0.609625\pi\) | |||||||
\(168\) | 2.80818 | 0.216656 | ||||||||
\(169\) | −9.77837 | −0.752182 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0.229170 | 0.0175251 | ||||||||
\(172\) | −12.9052 | −0.984009 | ||||||||
\(173\) | 9.17861 | 0.697837 | 0.348918 | − | 0.937153i | \(-0.386549\pi\) | ||||
0.348918 | + | 0.937153i | \(0.386549\pi\) | |||||||
\(174\) | 5.05341 | 0.383098 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.0673973 | 0.00506589 | ||||||||
\(178\) | −4.98777 | −0.373849 | ||||||||
\(179\) | 1.44816 | 0.108241 | 0.0541204 | − | 0.998534i | \(-0.482765\pi\) | ||||
0.0541204 | + | 0.998534i | \(0.482765\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.793502 | 0.0589806 | 0.0294903 | − | 0.999565i | \(-0.490612\pi\) | ||||
0.0294903 | + | 0.999565i | \(0.490612\pi\) | |||||||
\(182\) | −0.853076 | −0.0632342 | ||||||||
\(183\) | −6.05974 | −0.447949 | ||||||||
\(184\) | 4.01564 | 0.296037 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −8.71644 | −0.639120 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 2.61869 | 0.190988 | ||||||||
\(189\) | 3.02315 | 0.219902 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −8.15029 | −0.589735 | −0.294867 | − | 0.955538i | \(-0.595275\pi\) | ||||
−0.294867 | + | 0.955538i | \(0.595275\pi\) | |||||||
\(192\) | −6.30303 | −0.454882 | ||||||||
\(193\) | 4.36836 | 0.314442 | 0.157221 | − | 0.987563i | \(-0.449747\pi\) | ||||
0.157221 | + | 0.987563i | \(0.449747\pi\) | |||||||
\(194\) | 4.31508 | 0.309804 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 9.01444 | 0.643889 | ||||||||
\(197\) | −15.6525 | −1.11520 | −0.557599 | − | 0.830111i | \(-0.688277\pi\) | ||||
−0.557599 | + | 0.830111i | \(0.688277\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1.43830 | 0.101959 | 0.0509793 | − | 0.998700i | \(-0.483766\pi\) | ||||
0.0509793 | + | 0.998700i | \(0.483766\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 11.9583 | 0.843472 | ||||||||
\(202\) | 7.97185 | 0.560897 | ||||||||
\(203\) | −2.11706 | −0.148589 | ||||||||
\(204\) | 16.8930 | 1.18275 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −10.8536 | −0.756206 | ||||||||
\(207\) | −0.149398 | −0.0103839 | ||||||||
\(208\) | −0.985756 | −0.0683499 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −8.68130 | −0.597646 | −0.298823 | − | 0.954309i | \(-0.596594\pi\) | ||||
−0.298823 | + | 0.954309i | \(0.596594\pi\) | |||||||
\(212\) | 3.23045 | 0.221868 | ||||||||
\(213\) | 20.7653 | 1.42282 | ||||||||
\(214\) | −4.49864 | −0.307521 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −13.7529 | −0.935767 | ||||||||
\(217\) | 3.65164 | 0.247889 | ||||||||
\(218\) | −14.9303 | −1.01121 | ||||||||
\(219\) | −12.0131 | −0.811770 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −12.7026 | −0.854472 | ||||||||
\(222\) | 10.3703 | 0.696010 | ||||||||
\(223\) | −6.30604 | −0.422284 | −0.211142 | − | 0.977455i | \(-0.567718\pi\) | ||||
−0.211142 | + | 0.977455i | \(0.567718\pi\) | |||||||
\(224\) | 3.45080 | 0.230566 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 9.47296 | 0.630132 | ||||||||
\(227\) | 1.11681 | 0.0741252 | 0.0370626 | − | 0.999313i | \(-0.488200\pi\) | ||||
0.0370626 | + | 0.999313i | \(0.488200\pi\) | |||||||
\(228\) | 5.45867 | 0.361510 | ||||||||
\(229\) | −4.19616 | −0.277290 | −0.138645 | − | 0.990342i | \(-0.544275\pi\) | ||||
−0.138645 | + | 0.990342i | \(0.544275\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 9.63094 | 0.632302 | ||||||||
\(233\) | 6.77947 | 0.444138 | 0.222069 | − | 0.975031i | \(-0.428719\pi\) | ||||
0.222069 | + | 0.975031i | \(0.428719\pi\) | |||||||
\(234\) | −0.144382 | −0.00943853 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0.0518922 | 0.00337789 | ||||||||
\(237\) | 7.96921 | 0.517656 | ||||||||
\(238\) | 3.36362 | 0.218031 | ||||||||
\(239\) | −4.39808 | −0.284488 | −0.142244 | − | 0.989832i | \(-0.545432\pi\) | ||||
−0.142244 | + | 0.989832i | \(0.545432\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 9.61218 | 0.619175 | 0.309587 | − | 0.950871i | \(-0.399809\pi\) | ||||
0.309587 | + | 0.950871i | \(0.399809\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 1.04101 | 0.0667807 | ||||||||
\(244\) | −4.66566 | −0.298688 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 11.8865 | 0.757857 | ||||||||
\(247\) | −4.10463 | −0.261171 | ||||||||
\(248\) | −16.6120 | −1.05487 | ||||||||
\(249\) | −10.4634 | −0.663093 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 13.4206 | 0.847100 | 0.423550 | − | 0.905873i | \(-0.360784\pi\) | ||||
0.423550 | + | 0.905873i | \(0.360784\pi\) | |||||||
\(252\) | −0.0804405 | −0.00506727 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −12.8886 | −0.808704 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −14.2093 | −0.888081 | ||||||||
\(257\) | −10.8174 | −0.674769 | −0.337384 | − | 0.941367i | \(-0.609542\pi\) | ||||
−0.337384 | + | 0.941367i | \(0.609542\pi\) | |||||||
\(258\) | −13.4541 | −0.837619 | ||||||||
\(259\) | −4.34451 | −0.269955 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −0.358309 | −0.0221788 | ||||||||
\(262\) | −14.4723 | −0.894103 | ||||||||
\(263\) | −24.6351 | −1.51906 | −0.759531 | − | 0.650471i | \(-0.774572\pi\) | ||||
−0.759531 | + | 0.650471i | \(0.774572\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 1.08689 | 0.0666416 | ||||||||
\(267\) | 10.9408 | 0.669566 | ||||||||
\(268\) | 9.20722 | 0.562420 | ||||||||
\(269\) | −4.80101 | −0.292723 | −0.146361 | − | 0.989231i | \(-0.546756\pi\) | ||||
−0.146361 | + | 0.989231i | \(0.546756\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −23.3303 | −1.41722 | −0.708609 | − | 0.705602i | \(-0.750677\pi\) | ||||
−0.708609 | + | 0.705602i | \(0.750677\pi\) | |||||||
\(272\) | 3.88676 | 0.235670 | ||||||||
\(273\) | 1.87125 | 0.113253 | ||||||||
\(274\) | 3.23654 | 0.195527 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −3.55855 | −0.214200 | ||||||||
\(277\) | 21.8973 | 1.31568 | 0.657840 | − | 0.753158i | \(-0.271470\pi\) | ||||
0.657840 | + | 0.753158i | \(0.271470\pi\) | |||||||
\(278\) | −6.36935 | −0.382008 | ||||||||
\(279\) | 0.618034 | 0.0370007 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −15.7754 | −0.941084 | −0.470542 | − | 0.882378i | \(-0.655942\pi\) | ||||
−0.470542 | + | 0.882378i | \(0.655942\pi\) | |||||||
\(282\) | 2.73009 | 0.162575 | ||||||||
\(283\) | −22.6091 | −1.34397 | −0.671987 | − | 0.740563i | \(-0.734559\pi\) | ||||
−0.671987 | + | 0.740563i | \(0.734559\pi\) | |||||||
\(284\) | 15.9881 | 0.948722 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −4.97971 | −0.293943 | ||||||||
\(288\) | 0.584042 | 0.0344150 | ||||||||
\(289\) | 33.0856 | 1.94621 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −9.46524 | −0.554862 | ||||||||
\(292\) | −9.24943 | −0.541282 | ||||||||
\(293\) | 13.2596 | 0.774635 | 0.387317 | − | 0.921946i | \(-0.373402\pi\) | ||||
0.387317 | + | 0.921946i | \(0.373402\pi\) | |||||||
\(294\) | 9.39792 | 0.548098 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 19.7641 | 1.14876 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −10.0344 | −0.581280 | ||||||||
\(299\) | 2.67584 | 0.154748 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 5.63644 | 0.324879 | ||||||||
\(302\) | −6.74466 | −0.388112 | ||||||||
\(303\) | −17.4865 | −1.00457 | ||||||||
\(304\) | 1.25594 | 0.0720329 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0.569286 | 0.0325439 | ||||||||
\(307\) | −10.0161 | −0.571650 | −0.285825 | − | 0.958282i | \(-0.592268\pi\) | ||||
−0.285825 | + | 0.958282i | \(0.592268\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 23.8076 | 1.35437 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −3.40826 | −0.193265 | −0.0966323 | − | 0.995320i | \(-0.530807\pi\) | ||||
−0.0966323 | + | 0.995320i | \(0.530807\pi\) | |||||||
\(312\) | −8.51267 | −0.481935 | ||||||||
\(313\) | 24.5008 | 1.38487 | 0.692434 | − | 0.721481i | \(-0.256538\pi\) | ||||
0.692434 | + | 0.721481i | \(0.256538\pi\) | |||||||
\(314\) | 11.2345 | 0.633998 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 6.13586 | 0.345169 | ||||||||
\(317\) | 6.98851 | 0.392514 | 0.196257 | − | 0.980553i | \(-0.437121\pi\) | ||||
0.196257 | + | 0.980553i | \(0.437121\pi\) | |||||||
\(318\) | 3.36787 | 0.188861 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 9.86790 | 0.550772 | ||||||||
\(322\) | −0.708553 | −0.0394861 | ||||||||
\(323\) | 16.1842 | 0.900515 | ||||||||
\(324\) | 12.5950 | 0.699723 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 9.50514 | 0.526441 | ||||||||
\(327\) | 32.7500 | 1.81108 | ||||||||
\(328\) | 22.6537 | 1.25084 | ||||||||
\(329\) | −1.14374 | −0.0630563 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 5.64321 | 0.310179 | 0.155089 | − | 0.987900i | \(-0.450433\pi\) | ||||
0.155089 | + | 0.987900i | \(0.450433\pi\) | |||||||
\(332\) | −8.05626 | −0.442145 | ||||||||
\(333\) | −0.735302 | −0.0402943 | ||||||||
\(334\) | −7.00458 | −0.383273 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −0.572565 | −0.0312360 | ||||||||
\(337\) | −22.6164 | −1.23199 | −0.615996 | − | 0.787750i | \(-0.711246\pi\) | ||||
−0.615996 | + | 0.787750i | \(0.711246\pi\) | |||||||
\(338\) | −7.84909 | −0.426934 | ||||||||
\(339\) | −20.7792 | −1.12857 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 0.183955 | 0.00994713 | ||||||||
\(343\) | −8.08186 | −0.436379 | ||||||||
\(344\) | −25.6413 | −1.38249 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 7.36766 | 0.396088 | ||||||||
\(347\) | 0.182395 | 0.00979145 | 0.00489573 | − | 0.999988i | \(-0.498442\pi\) | ||||
0.00489573 | + | 0.999988i | \(0.498442\pi\) | |||||||
\(348\) | −8.53468 | −0.457507 | ||||||||
\(349\) | 15.4273 | 0.825803 | 0.412902 | − | 0.910776i | \(-0.364515\pi\) | ||||
0.412902 | + | 0.910776i | \(0.364515\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −9.16431 | −0.489155 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −23.9103 | −1.27262 | −0.636308 | − | 0.771435i | \(-0.719539\pi\) | ||||
−0.636308 | + | 0.771435i | \(0.719539\pi\) | |||||||
\(354\) | 0.0540997 | 0.00287537 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 8.42382 | 0.446461 | ||||||||
\(357\) | −7.37818 | −0.390495 | ||||||||
\(358\) | 1.16244 | 0.0614368 | ||||||||
\(359\) | 8.76734 | 0.462723 | 0.231361 | − | 0.972868i | \(-0.425682\pi\) | ||||
0.231361 | + | 0.972868i | \(0.425682\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −13.7704 | −0.724756 | ||||||||
\(362\) | 0.636943 | 0.0334770 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 1.44076 | 0.0755161 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −4.86414 | −0.254253 | ||||||||
\(367\) | 5.38232 | 0.280955 | 0.140477 | − | 0.990084i | \(-0.455136\pi\) | ||||
0.140477 | + | 0.990084i | \(0.455136\pi\) | |||||||
\(368\) | −0.818755 | −0.0426806 | ||||||||
\(369\) | −0.842807 | −0.0438748 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −1.41093 | −0.0732517 | ||||||||
\(372\) | 14.7211 | 0.763256 | ||||||||
\(373\) | 3.22450 | 0.166958 | 0.0834792 | − | 0.996510i | \(-0.473397\pi\) | ||||
0.0834792 | + | 0.996510i | \(0.473397\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 5.20309 | 0.268329 | ||||||||
\(377\) | 6.41762 | 0.330524 | ||||||||
\(378\) | 2.42668 | 0.124815 | ||||||||
\(379\) | −19.6634 | −1.01004 | −0.505020 | − | 0.863108i | \(-0.668515\pi\) | ||||
−0.505020 | + | 0.863108i | \(0.668515\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 28.2716 | 1.44840 | ||||||||
\(382\) | −6.54223 | −0.334730 | ||||||||
\(383\) | 27.9751 | 1.42946 | 0.714731 | − | 0.699400i | \(-0.246549\pi\) | ||||
0.714731 | + | 0.699400i | \(0.246549\pi\) | |||||||
\(384\) | 15.4639 | 0.789139 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 3.50648 | 0.178475 | ||||||||
\(387\) | 0.953959 | 0.0484924 | ||||||||
\(388\) | −7.28771 | −0.369977 | ||||||||
\(389\) | 13.0400 | 0.661154 | 0.330577 | − | 0.943779i | \(-0.392757\pi\) | ||||
0.330577 | + | 0.943779i | \(0.392757\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −10.5506 | −0.533569 | ||||||||
\(392\) | 17.9108 | 0.904634 | ||||||||
\(393\) | 31.7454 | 1.60134 | ||||||||
\(394\) | −12.5643 | −0.632980 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −1.82243 | −0.0914651 | −0.0457325 | − | 0.998954i | \(-0.514562\pi\) | ||||
−0.0457325 | + | 0.998954i | \(0.514562\pi\) | |||||||
\(398\) | 1.15452 | 0.0578711 | ||||||||
\(399\) | −2.38413 | −0.119356 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 5.38085 | 0.268707 | 0.134353 | − | 0.990933i | \(-0.457104\pi\) | ||||
0.134353 | + | 0.990933i | \(0.457104\pi\) | |||||||
\(402\) | 9.59890 | 0.478750 | ||||||||
\(403\) | −11.0695 | −0.551411 | ||||||||
\(404\) | −13.4636 | −0.669840 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −1.69936 | −0.0843379 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 33.5648 | 1.66171 | ||||||||
\(409\) | 36.6821 | 1.81381 | 0.906906 | − | 0.421333i | \(-0.138438\pi\) | ||||
0.906906 | + | 0.421333i | \(0.138438\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −7.09944 | −0.350190 | ||||||||
\(412\) | 18.3306 | 0.903083 | ||||||||
\(413\) | −0.0226644 | −0.00111524 | ||||||||
\(414\) | −0.119921 | −0.00589382 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −10.4607 | −0.512877 | ||||||||
\(417\) | 13.9713 | 0.684180 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 2.86630 | 0.140028 | 0.0700141 | − | 0.997546i | \(-0.477696\pi\) | ||||
0.0700141 | + | 0.997546i | \(0.477696\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 4.65975 | 0.227102 | 0.113551 | − | 0.993532i | \(-0.463777\pi\) | ||||
0.113551 | + | 0.993532i | \(0.463777\pi\) | |||||||
\(422\) | −6.96847 | −0.339220 | ||||||||
\(423\) | −0.193576 | −0.00941198 | ||||||||
\(424\) | 6.41859 | 0.311714 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 16.6683 | 0.807582 | ||||||||
\(427\) | 2.03777 | 0.0986147 | ||||||||
\(428\) | 7.59774 | 0.367250 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −20.7691 | −1.00041 | −0.500207 | − | 0.865906i | \(-0.666743\pi\) | ||||
−0.500207 | + | 0.865906i | \(0.666743\pi\) | |||||||
\(432\) | 2.80410 | 0.134912 | ||||||||
\(433\) | −12.7972 | −0.614993 | −0.307496 | − | 0.951549i | \(-0.599491\pi\) | ||||
−0.307496 | + | 0.951549i | \(0.599491\pi\) | |||||||
\(434\) | 2.93117 | 0.140701 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 25.2157 | 1.20761 | ||||||||
\(437\) | −3.40925 | −0.163086 | ||||||||
\(438\) | −9.64291 | −0.460756 | ||||||||
\(439\) | 10.6208 | 0.506905 | 0.253452 | − | 0.967348i | \(-0.418434\pi\) | ||||
0.253452 | + | 0.967348i | \(0.418434\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −0.666354 | −0.0317312 | ||||||||
\(442\) | −10.1964 | −0.484993 | ||||||||
\(443\) | 6.59894 | 0.313525 | 0.156763 | − | 0.987636i | \(-0.449894\pi\) | ||||
0.156763 | + | 0.987636i | \(0.449894\pi\) | |||||||
\(444\) | −17.5144 | −0.831196 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −5.06185 | −0.239686 | ||||||||
\(447\) | 22.0108 | 1.04108 | ||||||||
\(448\) | 2.11958 | 0.100141 | ||||||||
\(449\) | 13.6281 | 0.643147 | 0.321574 | − | 0.946885i | \(-0.395788\pi\) | ||||
0.321574 | + | 0.946885i | \(0.395788\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0 | 0 | ||||||||
\(452\) | −15.9988 | −0.752522 | ||||||||
\(453\) | 14.7946 | 0.695111 | ||||||||
\(454\) | 0.896462 | 0.0420730 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 10.8459 | 0.507904 | ||||||||
\(457\) | 13.4999 | 0.631498 | 0.315749 | − | 0.948843i | \(-0.397744\pi\) | ||||
0.315749 | + | 0.948843i | \(0.397744\pi\) | |||||||
\(458\) | −3.36825 | −0.157388 | ||||||||
\(459\) | 36.1342 | 1.68660 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −11.3217 | −0.527303 | −0.263652 | − | 0.964618i | \(-0.584927\pi\) | ||||
−0.263652 | + | 0.964618i | \(0.584927\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.82990 | −0.224464 | −0.112232 | − | 0.993682i | \(-0.535800\pi\) | ||||
−0.112232 | + | 0.993682i | \(0.535800\pi\) | |||||||
\(464\) | −1.96367 | −0.0911609 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 5.44187 | 0.252090 | ||||||||
\(467\) | 24.0173 | 1.11139 | 0.555694 | − | 0.831387i | \(-0.312453\pi\) | ||||
0.555694 | + | 0.831387i | \(0.312453\pi\) | |||||||
\(468\) | 0.243846 | 0.0112718 | ||||||||
\(469\) | −4.02134 | −0.185688 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −24.6431 | −1.13550 | ||||||||
\(472\) | 0.103105 | 0.00474579 | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 6.39688 | 0.293818 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −5.68079 | −0.260379 | ||||||||
\(477\) | −0.238797 | −0.0109338 | ||||||||
\(478\) | −3.53034 | −0.161474 | ||||||||
\(479\) | −43.2250 | −1.97500 | −0.987501 | − | 0.157611i | \(-0.949621\pi\) | ||||
−0.987501 | + | 0.157611i | \(0.949621\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 13.1699 | 0.600494 | ||||||||
\(482\) | 7.71569 | 0.351440 | ||||||||
\(483\) | 1.55423 | 0.0707199 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0.835616 | 0.0379043 | ||||||||
\(487\) | −41.9609 | −1.90143 | −0.950715 | − | 0.310067i | \(-0.899648\pi\) | ||||
−0.950715 | + | 0.310067i | \(0.899648\pi\) | |||||||
\(488\) | −9.27023 | −0.419644 | ||||||||
\(489\) | −20.8498 | −0.942860 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 9.05983 | 0.408864 | 0.204432 | − | 0.978881i | \(-0.434465\pi\) | ||||
0.204432 | + | 0.978881i | \(0.434465\pi\) | |||||||
\(492\) | −20.0751 | −0.905055 | ||||||||
\(493\) | −25.3042 | −1.13964 | ||||||||
\(494\) | −3.29478 | −0.148239 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 3.38705 | 0.152083 | ||||||||
\(497\) | −6.98297 | −0.313229 | ||||||||
\(498\) | −8.39898 | −0.376367 | ||||||||
\(499\) | 30.2793 | 1.35549 | 0.677744 | − | 0.735298i | \(-0.262958\pi\) | ||||
0.677744 | + | 0.735298i | \(0.262958\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 15.3647 | 0.686446 | ||||||||
\(502\) | 10.7727 | 0.480809 | ||||||||
\(503\) | −18.0638 | −0.805426 | −0.402713 | − | 0.915326i | \(-0.631933\pi\) | ||||
−0.402713 | + | 0.915326i | \(0.631933\pi\) | |||||||
\(504\) | −0.159828 | −0.00711929 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 17.2172 | 0.764642 | ||||||||
\(508\) | 21.7675 | 0.965778 | ||||||||
\(509\) | −24.9157 | −1.10437 | −0.552184 | − | 0.833722i | \(-0.686206\pi\) | ||||
−0.552184 | + | 0.833722i | \(0.686206\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 4.03977 | 0.178709 | ||||||||
\(512\) | 6.15942 | 0.272210 | ||||||||
\(513\) | 11.6761 | 0.515513 | ||||||||
\(514\) | −8.68309 | −0.382995 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 22.7226 | 1.00031 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | −3.48734 | −0.153225 | ||||||||
\(519\) | −16.1612 | −0.709396 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 36.2831 | 1.58959 | 0.794797 | − | 0.606876i | \(-0.207578\pi\) | ||||
0.794797 | + | 0.606876i | \(0.207578\pi\) | |||||||
\(522\) | −0.287614 | −0.0125885 | ||||||||
\(523\) | 24.7070 | 1.08036 | 0.540181 | − | 0.841549i | \(-0.318356\pi\) | ||||
0.540181 | + | 0.841549i | \(0.318356\pi\) | |||||||
\(524\) | 24.4422 | 1.06776 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −19.7745 | −0.862211 | ||||||||
\(527\) | 43.6462 | 1.90126 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −20.7775 | −0.903369 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −0.00383591 | −0.000166464 0 | ||||||||
\(532\) | −1.83565 | −0.0795853 | ||||||||
\(533\) | 15.0954 | 0.653854 | ||||||||
\(534\) | 8.78217 | 0.380042 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 18.2939 | 0.790175 | ||||||||
\(537\) | −2.54984 | −0.110034 | ||||||||
\(538\) | −3.85376 | −0.166148 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 12.5420 | 0.539221 | 0.269610 | − | 0.962970i | \(-0.413105\pi\) | ||||
0.269610 | + | 0.962970i | \(0.413105\pi\) | |||||||
\(542\) | −18.7272 | −0.804404 | ||||||||
\(543\) | −1.39715 | −0.0599576 | ||||||||
\(544\) | 41.2457 | 1.76839 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 1.50205 | 0.0642817 | ||||||||
\(547\) | −30.7407 | −1.31438 | −0.657189 | − | 0.753726i | \(-0.728255\pi\) | ||||
−0.657189 | + | 0.753726i | \(0.728255\pi\) | |||||||
\(548\) | −5.46618 | −0.233504 | ||||||||
\(549\) | 0.344889 | 0.0147195 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −8.17659 | −0.348334 | ||||||||
\(552\) | −7.07051 | −0.300941 | ||||||||
\(553\) | −2.67989 | −0.113961 | ||||||||
\(554\) | 17.5769 | 0.746772 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 10.7572 | 0.456206 | ||||||||
\(557\) | −13.4294 | −0.569021 | −0.284510 | − | 0.958673i | \(-0.591831\pi\) | ||||
−0.284510 | + | 0.958673i | \(0.591831\pi\) | |||||||
\(558\) | 0.496095 | 0.0210014 | ||||||||
\(559\) | −17.0862 | −0.722669 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −12.6629 | −0.534154 | ||||||||
\(563\) | −30.5401 | −1.28711 | −0.643556 | − | 0.765399i | \(-0.722542\pi\) | ||||
−0.643556 | + | 0.765399i | \(0.722542\pi\) | |||||||
\(564\) | −4.61084 | −0.194152 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −18.1483 | −0.762831 | ||||||||
\(567\) | −5.50099 | −0.231020 | ||||||||
\(568\) | 31.7669 | 1.33291 | ||||||||
\(569\) | −25.7204 | −1.07826 | −0.539128 | − | 0.842224i | \(-0.681246\pi\) | ||||
−0.539128 | + | 0.842224i | \(0.681246\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 27.1115 | 1.13458 | 0.567291 | − | 0.823518i | \(-0.307992\pi\) | ||||
0.567291 | + | 0.823518i | \(0.307992\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 14.3506 | 0.599504 | ||||||||
\(574\) | −3.99721 | −0.166840 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0.358736 | 0.0149473 | ||||||||
\(577\) | 2.87015 | 0.119486 | 0.0597430 | − | 0.998214i | \(-0.480972\pi\) | ||||
0.0597430 | + | 0.998214i | \(0.480972\pi\) | |||||||
\(578\) | 26.5578 | 1.10466 | ||||||||
\(579\) | −7.69156 | −0.319650 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 3.51865 | 0.145978 | ||||||||
\(582\) | −7.59774 | −0.314936 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −18.3777 | −0.760476 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 10.6435 | 0.439678 | ||||||||
\(587\) | 44.8360 | 1.85058 | 0.925289 | − | 0.379262i | \(-0.123822\pi\) | ||||
0.925289 | + | 0.379262i | \(0.123822\pi\) | |||||||
\(588\) | −15.8721 | −0.654554 | ||||||||
\(589\) | 14.1035 | 0.581124 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 27.5601 | 1.13367 | ||||||||
\(592\) | −4.02972 | −0.165621 | ||||||||
\(593\) | 6.09322 | 0.250219 | 0.125109 | − | 0.992143i | \(-0.460072\pi\) | ||||
0.125109 | + | 0.992143i | \(0.460072\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 16.9471 | 0.694181 | ||||||||
\(597\) | −2.53248 | −0.103648 | ||||||||
\(598\) | 2.14789 | 0.0878339 | ||||||||
\(599\) | −12.9337 | −0.528457 | −0.264229 | − | 0.964460i | \(-0.585117\pi\) | ||||
−0.264229 | + | 0.964460i | \(0.585117\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 11.0471 | 0.450621 | 0.225310 | − | 0.974287i | \(-0.427660\pi\) | ||||
0.225310 | + | 0.974287i | \(0.427660\pi\) | |||||||
\(602\) | 4.52437 | 0.184399 | ||||||||
\(603\) | −0.680605 | −0.0277164 | ||||||||
\(604\) | 11.3910 | 0.463494 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −14.0364 | −0.570188 | ||||||||
\(607\) | −0.115912 | −0.00470474 | −0.00235237 | − | 0.999997i | \(-0.500749\pi\) | ||||
−0.00235237 | + | 0.999997i | \(0.500749\pi\) | |||||||
\(608\) | 13.3278 | 0.540514 | ||||||||
\(609\) | 3.72760 | 0.151050 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 3.46710 | 0.140264 | ||||||||
\(612\) | −0.961465 | −0.0388649 | ||||||||
\(613\) | 19.0445 | 0.769202 | 0.384601 | − | 0.923083i | \(-0.374339\pi\) | ||||
0.384601 | + | 0.923083i | \(0.374339\pi\) | |||||||
\(614\) | −8.03993 | −0.324465 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 30.8894 | 1.24356 | 0.621780 | − | 0.783192i | \(-0.286410\pi\) | ||||
0.621780 | + | 0.783192i | \(0.286410\pi\) | |||||||
\(618\) | 19.1104 | 0.768732 | ||||||||
\(619\) | 33.5697 | 1.34928 | 0.674639 | − | 0.738148i | \(-0.264299\pi\) | ||||
0.674639 | + | 0.738148i | \(0.264299\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −7.61174 | −0.305449 | ||||||||
\(622\) | −2.73581 | −0.109696 | ||||||||
\(623\) | −3.67918 | −0.147403 | ||||||||
\(624\) | 1.73566 | 0.0694821 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 19.6668 | 0.786043 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −18.9738 | −0.757139 | ||||||||
\(629\) | −51.9278 | −2.07050 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 24.6573 | 0.981590 | 0.490795 | − | 0.871275i | \(-0.336706\pi\) | ||||
0.490795 | + | 0.871275i | \(0.336706\pi\) | |||||||
\(632\) | 12.1914 | 0.484946 | ||||||||
\(633\) | 15.2855 | 0.607546 | ||||||||
\(634\) | 5.60967 | 0.222788 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −5.68799 | −0.225543 | ||||||||
\(637\) | 11.9350 | 0.472880 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −1.18186 | −0.0467535 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 7.01647 | 0.277134 | 0.138567 | − | 0.990353i | \(-0.455750\pi\) | ||||
0.138567 | + | 0.990353i | \(0.455750\pi\) | |||||||
\(642\) | 7.92095 | 0.312615 | ||||||||
\(643\) | 12.2525 | 0.483192 | 0.241596 | − | 0.970377i | \(-0.422329\pi\) | ||||
0.241596 | + | 0.970377i | \(0.422329\pi\) | |||||||
\(644\) | 1.19667 | 0.0471555 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 12.9911 | 0.511127 | ||||||||
\(647\) | 6.12014 | 0.240608 | 0.120304 | − | 0.992737i | \(-0.461613\pi\) | ||||
0.120304 | + | 0.992737i | \(0.461613\pi\) | |||||||
\(648\) | 25.0251 | 0.983079 | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −6.42960 | −0.251996 | ||||||||
\(652\) | −16.0532 | −0.628691 | ||||||||
\(653\) | −38.0316 | −1.48829 | −0.744145 | − | 0.668018i | \(-0.767143\pi\) | ||||
−0.744145 | + | 0.668018i | \(0.767143\pi\) | |||||||
\(654\) | 26.2884 | 1.02796 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −4.61889 | −0.180338 | ||||||||
\(657\) | 0.683725 | 0.0266746 | ||||||||
\(658\) | −0.918077 | −0.0357904 | ||||||||
\(659\) | −15.7879 | −0.615011 | −0.307505 | − | 0.951546i | \(-0.599494\pi\) | ||||
−0.307505 | + | 0.951546i | \(0.599494\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −24.5794 | −0.956027 | −0.478014 | − | 0.878352i | \(-0.658643\pi\) | ||||
−0.478014 | + | 0.878352i | \(0.658643\pi\) | |||||||
\(662\) | 4.52980 | 0.176056 | ||||||||
\(663\) | 22.3661 | 0.868626 | ||||||||
\(664\) | −16.0070 | −0.621193 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −0.590226 | −0.0228708 | ||||||||
\(667\) | 5.33038 | 0.206393 | ||||||||
\(668\) | 11.8300 | 0.457716 | ||||||||
\(669\) | 11.1033 | 0.429279 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −6.07597 | −0.234385 | ||||||||
\(673\) | −29.9733 | −1.15539 | −0.577693 | − | 0.816254i | \(-0.696047\pi\) | ||||
−0.577693 | + | 0.816254i | \(0.696047\pi\) | |||||||
\(674\) | −18.1541 | −0.699271 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 13.2563 | 0.509857 | ||||||||
\(677\) | −3.75709 | −0.144397 | −0.0721984 | − | 0.997390i | \(-0.523001\pi\) | ||||
−0.0721984 | + | 0.997390i | \(0.523001\pi\) | |||||||
\(678\) | −16.6794 | −0.640570 | ||||||||
\(679\) | 3.18297 | 0.122151 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −1.96641 | −0.0753531 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 21.0157 | 0.804144 | 0.402072 | − | 0.915608i | \(-0.368290\pi\) | ||||
0.402072 | + | 0.915608i | \(0.368290\pi\) | |||||||
\(684\) | −0.310680 | −0.0118791 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −6.48730 | −0.247686 | ||||||||
\(687\) | 7.38836 | 0.281883 | ||||||||
\(688\) | 5.22805 | 0.199317 | ||||||||
\(689\) | 4.27706 | 0.162943 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −38.2825 | −1.45633 | −0.728167 | − | 0.685399i | \(-0.759628\pi\) | ||||
−0.728167 | + | 0.685399i | \(0.759628\pi\) | |||||||
\(692\) | −12.4432 | −0.473020 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0.146408 | 0.00555757 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −16.9576 | −0.642776 | ||||||||
\(697\) | −59.5200 | −2.25448 | ||||||||
\(698\) | 12.3835 | 0.468721 | ||||||||
\(699\) | −11.9369 | −0.451495 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 34.2344 | 1.29302 | 0.646509 | − | 0.762907i | \(-0.276228\pi\) | ||||
0.646509 | + | 0.762907i | \(0.276228\pi\) | |||||||
\(702\) | −7.35618 | −0.277641 | ||||||||
\(703\) | −16.7795 | −0.632852 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −19.1928 | −0.722329 | ||||||||
\(707\) | 5.88035 | 0.221153 | ||||||||
\(708\) | −0.0913687 | −0.00343385 | ||||||||
\(709\) | −4.12477 | −0.154909 | −0.0774545 | − | 0.996996i | \(-0.524679\pi\) | ||||
−0.0774545 | + | 0.996996i | \(0.524679\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −0.453567 | −0.0170101 | ||||||||
\(712\) | 16.7373 | 0.627258 | ||||||||
\(713\) | −9.19418 | −0.344325 | ||||||||
\(714\) | −5.92246 | −0.221642 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −1.96324 | −0.0733697 | ||||||||
\(717\) | 7.74389 | 0.289201 | ||||||||
\(718\) | 7.03754 | 0.262639 | ||||||||
\(719\) | 29.3596 | 1.09493 | 0.547463 | − | 0.836830i | \(-0.315594\pi\) | ||||
0.547463 | + | 0.836830i | \(0.315594\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −8.00605 | −0.298161 | ||||||||
\(722\) | −11.0535 | −0.411367 | ||||||||
\(723\) | −16.9246 | −0.629431 | ||||||||
\(724\) | −1.07573 | −0.0399792 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −44.0893 | −1.63518 | −0.817591 | − | 0.575799i | \(-0.804691\pi\) | ||||
−0.817591 | + | 0.575799i | \(0.804691\pi\) | |||||||
\(728\) | 2.86265 | 0.106097 | ||||||||
\(729\) | 26.0388 | 0.964401 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 67.3696 | 2.49176 | ||||||||
\(732\) | 8.21503 | 0.303636 | ||||||||
\(733\) | −48.9490 | −1.80797 | −0.903987 | − | 0.427561i | \(-0.859373\pi\) | ||||
−0.903987 | + | 0.427561i | \(0.859373\pi\) | |||||||
\(734\) | 4.32038 | 0.159468 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −8.68849 | −0.320262 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −0.676520 | −0.0249031 | ||||||||
\(739\) | 20.6622 | 0.760072 | 0.380036 | − | 0.924972i | \(-0.375912\pi\) | ||||
0.380036 | + | 0.924972i | \(0.375912\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 7.22719 | 0.265498 | ||||||||
\(742\) | −1.13255 | −0.0415772 | ||||||||
\(743\) | −30.1631 | −1.10658 | −0.553288 | − | 0.832990i | \(-0.686627\pi\) | ||||
−0.553288 | + | 0.832990i | \(0.686627\pi\) | |||||||
\(744\) | 29.2495 | 1.07234 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 2.58830 | 0.0947645 | ||||||||
\(747\) | 0.595525 | 0.0217891 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −3.31838 | −0.121251 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 12.0966 | 0.441412 | 0.220706 | − | 0.975340i | \(-0.429164\pi\) | ||||
0.220706 | + | 0.975340i | \(0.429164\pi\) | |||||||
\(752\) | −1.06087 | −0.0386858 | ||||||||
\(753\) | −23.6302 | −0.861133 | ||||||||
\(754\) | 5.15141 | 0.187603 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −4.09840 | −0.149057 | ||||||||
\(757\) | 20.6101 | 0.749086 | 0.374543 | − | 0.927210i | \(-0.377800\pi\) | ||||
0.374543 | + | 0.927210i | \(0.377800\pi\) | |||||||
\(758\) | −15.7838 | −0.573293 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −20.8450 | −0.755631 | −0.377816 | − | 0.925881i | \(-0.623325\pi\) | ||||
−0.377816 | + | 0.925881i | \(0.623325\pi\) | |||||||
\(762\) | 22.6935 | 0.822100 | ||||||||
\(763\) | −11.0132 | −0.398704 | ||||||||
\(764\) | 11.0491 | 0.399744 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 22.4556 | 0.811354 | ||||||||
\(767\) | 0.0687044 | 0.00248077 | ||||||||
\(768\) | 25.0189 | 0.902792 | ||||||||
\(769\) | −10.7167 | −0.386455 | −0.193228 | − | 0.981154i | \(-0.561896\pi\) | ||||
−0.193228 | + | 0.981154i | \(0.561896\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 19.0466 | 0.685946 | ||||||||
\(772\) | −5.92207 | −0.213140 | ||||||||
\(773\) | −20.3563 | −0.732164 | −0.366082 | − | 0.930583i | \(-0.619301\pi\) | ||||
−0.366082 | + | 0.930583i | \(0.619301\pi\) | |||||||
\(774\) | 0.765742 | 0.0275240 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −14.4800 | −0.519801 | ||||||||
\(777\) | 7.64957 | 0.274427 | ||||||||
\(778\) | 10.4672 | 0.375267 | ||||||||
\(779\) | −19.2328 | −0.689087 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | −8.46898 | −0.302850 | ||||||||
\(783\) | −18.2557 | −0.652405 | ||||||||
\(784\) | −3.65187 | −0.130424 | ||||||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 25.4820 | 0.908914 | ||||||||
\(787\) | −14.2222 | −0.506967 | −0.253484 | − | 0.967340i | \(-0.581576\pi\) | ||||
−0.253484 | + | 0.967340i | \(0.581576\pi\) | |||||||
\(788\) | 21.2198 | 0.755923 | ||||||||
\(789\) | 43.3760 | 1.54423 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 6.98764 | 0.248452 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −6.17726 | −0.219361 | ||||||||
\(794\) | −1.46286 | −0.0519150 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −1.94987 | −0.0691113 | ||||||||
\(797\) | −45.0384 | −1.59534 | −0.797671 | − | 0.603093i | \(-0.793935\pi\) | ||||
−0.797671 | + | 0.603093i | \(0.793935\pi\) | |||||||
\(798\) | −1.91374 | −0.0677455 | ||||||||
\(799\) | −13.6705 | −0.483629 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −0.622695 | −0.0220018 | ||||||||
\(802\) | 4.31920 | 0.152516 | ||||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | −16.2115 | −0.571737 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −8.88548 | −0.312978 | ||||||||
\(807\) | 8.45334 | 0.297572 | ||||||||
\(808\) | −26.7509 | −0.941094 | ||||||||
\(809\) | −23.7753 | −0.835896 | −0.417948 | − | 0.908471i | \(-0.637251\pi\) | ||||
−0.417948 | + | 0.908471i | \(0.637251\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 8.19869 | 0.287895 | 0.143948 | − | 0.989585i | \(-0.454020\pi\) | ||||
0.143948 | + | 0.989585i | \(0.454020\pi\) | |||||||
\(812\) | 2.87004 | 0.100719 | ||||||||
\(813\) | 41.0787 | 1.44069 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −6.84358 | −0.239573 | ||||||||
\(817\) | 21.7693 | 0.761610 | ||||||||
\(818\) | 29.4447 | 1.02951 | ||||||||
\(819\) | −0.106502 | −0.00372147 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 43.4373 | 1.51597 | 0.757986 | − | 0.652271i | \(-0.226184\pi\) | ||||
0.757986 | + | 0.652271i | \(0.226184\pi\) | |||||||
\(822\) | −5.69872 | −0.198766 | ||||||||
\(823\) | −51.6801 | −1.80145 | −0.900727 | − | 0.434386i | \(-0.856966\pi\) | ||||
−0.900727 | + | 0.434386i | \(0.856966\pi\) | |||||||
\(824\) | 36.4211 | 1.26879 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −0.0181927 | −0.000633004 0 | ||||||||
\(827\) | −25.3079 | −0.880042 | −0.440021 | − | 0.897987i | \(-0.645029\pi\) | ||||
−0.440021 | + | 0.897987i | \(0.645029\pi\) | |||||||
\(828\) | 0.202535 | 0.00703857 | ||||||||
\(829\) | −41.8760 | −1.45441 | −0.727207 | − | 0.686418i | \(-0.759182\pi\) | ||||
−0.727207 | + | 0.686418i | \(0.759182\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −38.5555 | −1.33747 | ||||||||
\(832\) | −6.42527 | −0.222756 | ||||||||
\(833\) | −47.0587 | −1.63049 | ||||||||
\(834\) | 11.2148 | 0.388336 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 31.4885 | 1.08840 | ||||||||
\(838\) | 2.30078 | 0.0794791 | ||||||||
\(839\) | −14.3848 | −0.496619 | −0.248309 | − | 0.968681i | \(-0.579875\pi\) | ||||
−0.248309 | + | 0.968681i | \(0.579875\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −16.2158 | −0.559167 | ||||||||
\(842\) | 3.74038 | 0.128902 | ||||||||
\(843\) | 27.7765 | 0.956673 | ||||||||
\(844\) | 11.7690 | 0.405106 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −0.155383 | −0.00534218 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −1.30870 | −0.0449408 | ||||||||
\(849\) | 39.8088 | 1.36624 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 10.9387 | 0.374974 | ||||||||
\(852\) | −28.1510 | −0.964437 | ||||||||
\(853\) | −43.0014 | −1.47234 | −0.736170 | − | 0.676797i | \(-0.763368\pi\) | ||||
−0.736170 | + | 0.676797i | \(0.763368\pi\) | |||||||
\(854\) | 1.63572 | 0.0559731 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 15.0960 | 0.515970 | ||||||||
\(857\) | −54.3052 | −1.85503 | −0.927516 | − | 0.373784i | \(-0.878060\pi\) | ||||
−0.927516 | + | 0.373784i | \(0.878060\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 24.3361 | 0.830336 | 0.415168 | − | 0.909745i | \(-0.363723\pi\) | ||||
0.415168 | + | 0.909745i | \(0.363723\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 8.76798 | 0.298812 | ||||||||
\(862\) | −16.6714 | −0.567828 | ||||||||
\(863\) | −39.1501 | −1.33268 | −0.666342 | − | 0.745646i | \(-0.732141\pi\) | ||||
−0.666342 | + | 0.745646i | \(0.732141\pi\) | |||||||
\(864\) | 29.7567 | 1.01234 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −10.2723 | −0.349066 | ||||||||
\(867\) | −58.2551 | −1.97845 | ||||||||
\(868\) | −4.95043 | −0.168029 | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 12.1902 | 0.413049 | ||||||||
\(872\) | 50.1012 | 1.69664 | ||||||||
\(873\) | 0.538713 | 0.0182327 | ||||||||
\(874\) | −2.73660 | −0.0925668 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 16.2859 | 0.550248 | ||||||||
\(877\) | 43.0882 | 1.45499 | 0.727493 | − | 0.686116i | \(-0.240686\pi\) | ||||
0.727493 | + | 0.686116i | \(0.240686\pi\) | |||||||
\(878\) | 8.52534 | 0.287716 | ||||||||
\(879\) | −23.3468 | −0.787466 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −38.1083 | −1.28390 | −0.641950 | − | 0.766746i | \(-0.721874\pi\) | ||||
−0.641950 | + | 0.766746i | \(0.721874\pi\) | |||||||
\(882\) | −0.534882 | −0.0180104 | ||||||||
\(883\) | −29.0261 | −0.976805 | −0.488403 | − | 0.872618i | \(-0.662420\pi\) | ||||
−0.488403 | + | 0.872618i | \(0.662420\pi\) | |||||||
\(884\) | 17.2206 | 0.579193 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 5.29696 | 0.177955 | ||||||||
\(887\) | 2.21174 | 0.0742631 | 0.0371315 | − | 0.999310i | \(-0.488178\pi\) | ||||
0.0371315 | + | 0.999310i | \(0.488178\pi\) | |||||||
\(888\) | −34.7994 | −1.16779 | ||||||||
\(889\) | −9.50717 | −0.318860 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 8.54894 | 0.286240 | ||||||||
\(893\) | −4.41739 | −0.147822 | ||||||||
\(894\) | 17.6681 | 0.590909 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −5.20021 | −0.173727 | ||||||||
\(897\) | −4.71146 | −0.157311 | ||||||||
\(898\) | 10.9392 | 0.365047 | ||||||||
\(899\) | −22.0509 | −0.735439 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −16.8641 | −0.561825 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −9.92432 | −0.330261 | ||||||||
\(904\) | −31.7882 | −1.05726 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 11.8756 | 0.394541 | ||||||||
\(907\) | −26.6863 | −0.886106 | −0.443053 | − | 0.896496i | \(-0.646105\pi\) | ||||
−0.443053 | + | 0.896496i | \(0.646105\pi\) | |||||||
\(908\) | −1.51403 | −0.0502448 | ||||||||
\(909\) | 0.995240 | 0.0330100 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −36.2736 | −1.20180 | −0.600899 | − | 0.799325i | \(-0.705191\pi\) | ||||
−0.600899 | + | 0.799325i | \(0.705191\pi\) | |||||||
\(912\) | −2.21138 | −0.0732261 | ||||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 10.8363 | 0.358434 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 5.68863 | 0.187958 | ||||||||
\(917\) | −10.6754 | −0.352532 | ||||||||
\(918\) | 29.0049 | 0.957303 | ||||||||
\(919\) | 29.6718 | 0.978781 | 0.489391 | − | 0.872065i | \(-0.337219\pi\) | ||||
0.489391 | + | 0.872065i | \(0.337219\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 17.6358 | 0.581119 | ||||||||
\(922\) | −9.08790 | −0.299294 | ||||||||
\(923\) | 21.1680 | 0.696754 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −3.87696 | −0.127405 | ||||||||
\(927\) | −1.35501 | −0.0445044 | ||||||||
\(928\) | −20.8381 | −0.684044 | ||||||||
\(929\) | 27.7726 | 0.911189 | 0.455595 | − | 0.890187i | \(-0.349427\pi\) | ||||
0.455595 | + | 0.890187i | \(0.349427\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −15.2062 | −0.498362 | ||||||||
\(932\) | −9.19075 | −0.301053 | ||||||||
\(933\) | 6.00106 | 0.196466 | ||||||||
\(934\) | 19.2786 | 0.630817 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0.484498 | 0.0158363 | ||||||||
\(937\) | 30.2421 | 0.987967 | 0.493983 | − | 0.869471i | \(-0.335540\pi\) | ||||
0.493983 | + | 0.869471i | \(0.335540\pi\) | |||||||
\(938\) | −3.22792 | −0.105395 | ||||||||
\(939\) | −43.1396 | −1.40781 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 6.00672 | 0.195813 | 0.0979067 | − | 0.995196i | \(-0.468785\pi\) | ||||
0.0979067 | + | 0.995196i | \(0.468785\pi\) | |||||||
\(942\) | −19.7810 | −0.644500 | ||||||||
\(943\) | 12.5380 | 0.408294 | ||||||||
\(944\) | −0.0210222 | −0.000684214 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 10.0218 | 0.325665 | 0.162833 | − | 0.986654i | \(-0.447937\pi\) | ||||
0.162833 | + | 0.986654i | \(0.447937\pi\) | |||||||
\(948\) | −10.8037 | −0.350887 | ||||||||
\(949\) | −12.2461 | −0.397525 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −12.3050 | −0.399016 | ||||||||
\(952\) | −11.2872 | −0.365820 | ||||||||
\(953\) | 9.78136 | 0.316849 | 0.158425 | − | 0.987371i | \(-0.449359\pi\) | ||||
0.158425 | + | 0.987371i | \(0.449359\pi\) | |||||||
\(954\) | −0.191682 | −0.00620594 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 5.96237 | 0.192837 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −34.6967 | −1.12100 | ||||||||
\(959\) | 2.38740 | 0.0770933 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 7.03479 | 0.226929 | ||||||||
\(962\) | 10.5714 | 0.340837 | ||||||||
\(963\) | −0.561631 | −0.0180983 | ||||||||
\(964\) | −13.0310 | −0.419700 | ||||||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 1.24758 | 0.0401402 | ||||||||
\(967\) | 1.22635 | 0.0394367 | 0.0197184 | − | 0.999806i | \(-0.493723\pi\) | ||||
0.0197184 | + | 0.999806i | \(0.493723\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −28.4963 | −0.915432 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −44.6467 | −1.43278 | −0.716390 | − | 0.697700i | \(-0.754207\pi\) | ||||
−0.716390 | + | 0.697700i | \(0.754207\pi\) | |||||||
\(972\) | −1.41127 | −0.0452664 | ||||||||
\(973\) | −4.69829 | −0.150620 | ||||||||
\(974\) | −33.6820 | −1.07924 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 1.89012 | 0.0605013 | ||||||||
\(977\) | −47.2451 | −1.51151 | −0.755753 | − | 0.654857i | \(-0.772729\pi\) | ||||
−0.755753 | + | 0.654857i | \(0.772729\pi\) | |||||||
\(978\) | −16.7361 | −0.535162 | ||||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −1.86396 | −0.0595118 | ||||||||
\(982\) | 7.27232 | 0.232069 | ||||||||
\(983\) | 13.9351 | 0.444459 | 0.222230 | − | 0.974994i | \(-0.428667\pi\) | ||||
0.222230 | + | 0.974994i | \(0.428667\pi\) | |||||||
\(984\) | −39.8873 | −1.27156 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −20.3116 | −0.646854 | ||||||||
\(987\) | 2.01383 | 0.0641008 | ||||||||
\(988\) | 5.56454 | 0.177032 | ||||||||
\(989\) | −14.1916 | −0.451265 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 36.5755 | 1.16186 | 0.580930 | − | 0.813953i | \(-0.302689\pi\) | ||||
0.580930 | + | 0.813953i | \(0.302689\pi\) | |||||||
\(992\) | 35.9429 | 1.14119 | ||||||||
\(993\) | −9.93623 | −0.315317 | ||||||||
\(994\) | −5.60522 | −0.177787 | ||||||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 14.1850 | 0.449469 | ||||||||
\(997\) | −19.3415 | −0.612552 | −0.306276 | − | 0.951943i | \(-0.599083\pi\) | ||||
−0.306276 | + | 0.951943i | \(0.599083\pi\) | |||||||
\(998\) | 24.3052 | 0.769367 | ||||||||
\(999\) | −37.4633 | −1.18529 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))