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 | 1.8 | ||
Root | \(2.02368\) 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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.02368 | 1.43096 | 0.715480 | − | 0.698633i | \(-0.246208\pi\) | ||||
0.715480 | + | 0.698633i | \(0.246208\pi\) | |||||||
\(3\) | −2.62059 | −1.51300 | −0.756501 | − | 0.653993i | \(-0.773093\pi\) | ||||
−0.756501 | + | 0.653993i | \(0.773093\pi\) | |||||||
\(4\) | 2.09529 | 1.04765 | ||||||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −5.30325 | −2.16504 | ||||||||
\(7\) | −0.965823 | −0.365047 | −0.182523 | − | 0.983202i | \(-0.558427\pi\) | ||||
−0.182523 | + | 0.983202i | \(0.558427\pi\) | |||||||
\(8\) | 0.192845 | 0.0681809 | ||||||||
\(9\) | 3.86752 | 1.28917 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0 | 0 | ||||||||
\(12\) | −5.49092 | −1.58509 | ||||||||
\(13\) | 4.52509 | 1.25504 | 0.627518 | − | 0.778602i | \(-0.284071\pi\) | ||||
0.627518 | + | 0.778602i | \(0.284071\pi\) | |||||||
\(14\) | −1.95452 | −0.522367 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.80033 | −0.950083 | ||||||||
\(17\) | 3.33669 | 0.809266 | 0.404633 | − | 0.914479i | \(-0.367399\pi\) | ||||
0.404633 | + | 0.914479i | \(0.367399\pi\) | |||||||
\(18\) | 7.82663 | 1.84475 | ||||||||
\(19\) | −3.27759 | −0.751931 | −0.375965 | − | 0.926634i | \(-0.622689\pi\) | ||||
−0.375965 | + | 0.926634i | \(0.622689\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.53103 | 0.552316 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −3.36643 | −0.701948 | −0.350974 | − | 0.936385i | \(-0.614149\pi\) | ||||
−0.350974 | + | 0.936385i | \(0.614149\pi\) | |||||||
\(24\) | −0.505368 | −0.103158 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 9.15736 | 1.79591 | ||||||||
\(27\) | −2.27341 | −0.437518 | ||||||||
\(28\) | −2.02368 | −0.382440 | ||||||||
\(29\) | −4.91300 | −0.912321 | −0.456160 | − | 0.889898i | \(-0.650776\pi\) | ||||
−0.456160 | + | 0.889898i | \(0.650776\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.418365 | −0.0751406 | −0.0375703 | − | 0.999294i | \(-0.511962\pi\) | ||||
−0.0375703 | + | 0.999294i | \(0.511962\pi\) | |||||||
\(32\) | −8.07636 | −1.42771 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 6.75241 | 1.15803 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 8.10358 | 1.35060 | ||||||||
\(37\) | 6.33755 | 1.04189 | 0.520944 | − | 0.853591i | \(-0.325580\pi\) | ||||
0.520944 | + | 0.853591i | \(0.325580\pi\) | |||||||
\(38\) | −6.63281 | −1.07598 | ||||||||
\(39\) | −11.8584 | −1.89887 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −5.78564 | −0.903565 | −0.451782 | − | 0.892128i | \(-0.649212\pi\) | ||||
−0.451782 | + | 0.892128i | \(0.649212\pi\) | |||||||
\(42\) | 5.12200 | 0.790343 | ||||||||
\(43\) | 2.26205 | 0.344960 | 0.172480 | − | 0.985013i | \(-0.444822\pi\) | ||||
0.172480 | + | 0.985013i | \(0.444822\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −6.81258 | −1.00446 | ||||||||
\(47\) | 4.32424 | 0.630755 | 0.315378 | − | 0.948966i | \(-0.397869\pi\) | ||||
0.315378 | + | 0.948966i | \(0.397869\pi\) | |||||||
\(48\) | 9.95913 | 1.43748 | ||||||||
\(49\) | −6.06719 | −0.866741 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −8.74411 | −1.22442 | ||||||||
\(52\) | 9.48140 | 1.31483 | ||||||||
\(53\) | −2.66070 | −0.365475 | −0.182738 | − | 0.983162i | \(-0.558496\pi\) | ||||
−0.182738 | + | 0.983162i | \(0.558496\pi\) | |||||||
\(54\) | −4.60066 | −0.626071 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −0.186254 | −0.0248892 | ||||||||
\(57\) | 8.58924 | 1.13767 | ||||||||
\(58\) | −9.94235 | −1.30549 | ||||||||
\(59\) | −10.1253 | −1.31820 | −0.659100 | − | 0.752055i | \(-0.729063\pi\) | ||||
−0.659100 | + | 0.752055i | \(0.729063\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.47086 | 0.316361 | 0.158180 | − | 0.987410i | \(-0.449437\pi\) | ||||
0.158180 | + | 0.987410i | \(0.449437\pi\) | |||||||
\(62\) | −0.846638 | −0.107523 | ||||||||
\(63\) | −3.73534 | −0.470608 | ||||||||
\(64\) | −8.74332 | −1.09292 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −9.60059 | −1.17290 | −0.586449 | − | 0.809986i | \(-0.699475\pi\) | ||||
−0.586449 | + | 0.809986i | \(0.699475\pi\) | |||||||
\(68\) | 6.99135 | 0.847826 | ||||||||
\(69\) | 8.82204 | 1.06205 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −5.45311 | −0.647165 | −0.323582 | − | 0.946200i | \(-0.604887\pi\) | ||||
−0.323582 | + | 0.946200i | \(0.604887\pi\) | |||||||
\(72\) | 0.745831 | 0.0878970 | ||||||||
\(73\) | −1.43554 | −0.168018 | −0.0840088 | − | 0.996465i | \(-0.526772\pi\) | ||||
−0.0840088 | + | 0.996465i | \(0.526772\pi\) | |||||||
\(74\) | 12.8252 | 1.49090 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −6.86752 | −0.787758 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −23.9977 | −2.71721 | ||||||||
\(79\) | −1.00396 | −0.112954 | −0.0564770 | − | 0.998404i | \(-0.517987\pi\) | ||||
−0.0564770 | + | 0.998404i | \(0.517987\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −5.64486 | −0.627207 | ||||||||
\(82\) | −11.7083 | −1.29297 | ||||||||
\(83\) | −7.39542 | −0.811752 | −0.405876 | − | 0.913928i | \(-0.633034\pi\) | ||||
−0.405876 | + | 0.913928i | \(0.633034\pi\) | |||||||
\(84\) | 5.30325 | 0.578632 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 4.57768 | 0.493624 | ||||||||
\(87\) | 12.8750 | 1.38034 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −12.1964 | −1.29282 | −0.646410 | − | 0.762991i | \(-0.723730\pi\) | ||||
−0.646410 | + | 0.762991i | \(0.723730\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −4.37044 | −0.458147 | ||||||||
\(92\) | −7.05365 | −0.735394 | ||||||||
\(93\) | 1.09637 | 0.113688 | ||||||||
\(94\) | 8.75089 | 0.902586 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 21.1649 | 2.16013 | ||||||||
\(97\) | −3.01924 | −0.306557 | −0.153279 | − | 0.988183i | \(-0.548983\pi\) | ||||
−0.153279 | + | 0.988183i | \(0.548983\pi\) | |||||||
\(98\) | −12.2781 | −1.24027 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −15.1962 | −1.51208 | −0.756039 | − | 0.654526i | \(-0.772868\pi\) | ||||
−0.756039 | + | 0.654526i | \(0.772868\pi\) | |||||||
\(102\) | −17.6953 | −1.75210 | ||||||||
\(103\) | −9.74692 | −0.960392 | −0.480196 | − | 0.877161i | \(-0.659435\pi\) | ||||
−0.480196 | + | 0.877161i | \(0.659435\pi\) | |||||||
\(104\) | 0.872641 | 0.0855695 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −5.38441 | −0.522980 | ||||||||
\(107\) | −7.64179 | −0.738760 | −0.369380 | − | 0.929278i | \(-0.620430\pi\) | ||||
−0.369380 | + | 0.929278i | \(0.620430\pi\) | |||||||
\(108\) | −4.76346 | −0.458364 | ||||||||
\(109\) | 9.85576 | 0.944010 | 0.472005 | − | 0.881596i | \(-0.343530\pi\) | ||||
0.472005 | + | 0.881596i | \(0.343530\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −16.6082 | −1.57638 | ||||||||
\(112\) | 3.67045 | 0.346825 | ||||||||
\(113\) | 5.01861 | 0.472111 | 0.236056 | − | 0.971740i | \(-0.424145\pi\) | ||||
0.236056 | + | 0.971740i | \(0.424145\pi\) | |||||||
\(114\) | 17.3819 | 1.62796 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −10.2942 | −0.955790 | ||||||||
\(117\) | 17.5009 | 1.61796 | ||||||||
\(118\) | −20.4904 | −1.88629 | ||||||||
\(119\) | −3.22265 | −0.295420 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 5.00023 | 0.452700 | ||||||||
\(123\) | 15.1618 | 1.36709 | ||||||||
\(124\) | −0.876598 | −0.0787208 | ||||||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −7.55914 | −0.673422 | ||||||||
\(127\) | −7.09040 | −0.629172 | −0.314586 | − | 0.949229i | \(-0.601866\pi\) | ||||
−0.314586 | + | 0.949229i | \(0.601866\pi\) | |||||||
\(128\) | −1.54101 | −0.136207 | ||||||||
\(129\) | −5.92792 | −0.521925 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −7.21704 | −0.630556 | −0.315278 | − | 0.948999i | \(-0.602098\pi\) | ||||
−0.315278 | + | 0.948999i | \(0.602098\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.16557 | 0.274490 | ||||||||
\(134\) | −19.4285 | −1.67837 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.643464 | 0.0551766 | ||||||||
\(137\) | 8.49079 | 0.725417 | 0.362709 | − | 0.931903i | \(-0.381852\pi\) | ||||
0.362709 | + | 0.931903i | \(0.381852\pi\) | |||||||
\(138\) | 17.8530 | 1.51975 | ||||||||
\(139\) | −7.74016 | −0.656512 | −0.328256 | − | 0.944589i | \(-0.606461\pi\) | ||||
−0.328256 | + | 0.944589i | \(0.606461\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −11.3321 | −0.954334 | ||||||||
\(142\) | −11.0354 | −0.926067 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −14.6978 | −1.22482 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −2.90508 | −0.240426 | ||||||||
\(147\) | 15.8996 | 1.31138 | ||||||||
\(148\) | 13.2790 | 1.09153 | ||||||||
\(149\) | 16.8833 | 1.38313 | 0.691567 | − | 0.722312i | \(-0.256921\pi\) | ||||
0.691567 | + | 0.722312i | \(0.256921\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 12.2826 | 0.999548 | 0.499774 | − | 0.866156i | \(-0.333416\pi\) | ||||
0.499774 | + | 0.866156i | \(0.333416\pi\) | |||||||
\(152\) | −0.632067 | −0.0512674 | ||||||||
\(153\) | 12.9047 | 1.04328 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −24.8469 | −1.98934 | ||||||||
\(157\) | 4.20971 | 0.335972 | 0.167986 | − | 0.985789i | \(-0.446274\pi\) | ||||
0.167986 | + | 0.985789i | \(0.446274\pi\) | |||||||
\(158\) | −2.03169 | −0.161633 | ||||||||
\(159\) | 6.97261 | 0.552964 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 3.25137 | 0.256244 | ||||||||
\(162\) | −11.4234 | −0.897508 | ||||||||
\(163\) | −16.5736 | −1.29814 | −0.649071 | − | 0.760728i | \(-0.724842\pi\) | ||||
−0.649071 | + | 0.760728i | \(0.724842\pi\) | |||||||
\(164\) | −12.1226 | −0.946617 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −14.9660 | −1.16159 | ||||||||
\(167\) | −9.16678 | −0.709347 | −0.354674 | − | 0.934990i | \(-0.615408\pi\) | ||||
−0.354674 | + | 0.934990i | \(0.615408\pi\) | |||||||
\(168\) | 0.488096 | 0.0376574 | ||||||||
\(169\) | 7.47647 | 0.575113 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −12.6761 | −0.969369 | ||||||||
\(172\) | 4.73967 | 0.361396 | ||||||||
\(173\) | 4.10967 | 0.312452 | 0.156226 | − | 0.987721i | \(-0.450067\pi\) | ||||
0.156226 | + | 0.987721i | \(0.450067\pi\) | |||||||
\(174\) | 26.0549 | 1.97521 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 26.5343 | 1.99444 | ||||||||
\(178\) | −24.6817 | −1.84997 | ||||||||
\(179\) | −16.2961 | −1.21802 | −0.609012 | − | 0.793161i | \(-0.708434\pi\) | ||||
−0.609012 | + | 0.793161i | \(0.708434\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −5.54689 | −0.412297 | −0.206149 | − | 0.978521i | \(-0.566093\pi\) | ||||
−0.206149 | + | 0.978521i | \(0.566093\pi\) | |||||||
\(182\) | −8.84439 | −0.655589 | ||||||||
\(183\) | −6.47512 | −0.478654 | ||||||||
\(184\) | −0.649198 | −0.0478595 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 2.21870 | 0.162683 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 9.06056 | 0.660809 | ||||||||
\(189\) | 2.19571 | 0.159715 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 21.8161 | 1.57856 | 0.789280 | − | 0.614034i | \(-0.210454\pi\) | ||||
0.789280 | + | 0.614034i | \(0.210454\pi\) | |||||||
\(192\) | 22.9127 | 1.65358 | ||||||||
\(193\) | −22.4789 | −1.61807 | −0.809034 | − | 0.587762i | \(-0.800009\pi\) | ||||
−0.809034 | + | 0.587762i | \(0.800009\pi\) | |||||||
\(194\) | −6.10999 | −0.438672 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −12.7125 | −0.908038 | ||||||||
\(197\) | 25.7479 | 1.83446 | 0.917230 | − | 0.398358i | \(-0.130420\pi\) | ||||
0.917230 | + | 0.398358i | \(0.130420\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 16.9671 | 1.20277 | 0.601385 | − | 0.798960i | \(-0.294616\pi\) | ||||
0.601385 | + | 0.798960i | \(0.294616\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 25.1592 | 1.77460 | ||||||||
\(202\) | −30.7523 | −2.16372 | ||||||||
\(203\) | 4.74509 | 0.333040 | ||||||||
\(204\) | −18.3215 | −1.28276 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −19.7247 | −1.37428 | ||||||||
\(207\) | −13.0197 | −0.904932 | ||||||||
\(208\) | −17.1969 | −1.19239 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.82637 | 0.401104 | 0.200552 | − | 0.979683i | \(-0.435726\pi\) | ||||
0.200552 | + | 0.979683i | \(0.435726\pi\) | |||||||
\(212\) | −5.57495 | −0.382889 | ||||||||
\(213\) | 14.2904 | 0.979161 | ||||||||
\(214\) | −15.4646 | −1.05714 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −0.438415 | −0.0298304 | ||||||||
\(217\) | 0.404067 | 0.0274298 | ||||||||
\(218\) | 19.9449 | 1.35084 | ||||||||
\(219\) | 3.76197 | 0.254211 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 15.0988 | 1.01566 | ||||||||
\(222\) | −33.6097 | −2.25573 | ||||||||
\(223\) | 19.0223 | 1.27383 | 0.636913 | − | 0.770936i | \(-0.280211\pi\) | ||||
0.636913 | + | 0.770936i | \(0.280211\pi\) | |||||||
\(224\) | 7.80033 | 0.521182 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 10.1561 | 0.675572 | ||||||||
\(227\) | −28.4659 | −1.88935 | −0.944675 | − | 0.328008i | \(-0.893623\pi\) | ||||
−0.944675 | + | 0.328008i | \(0.893623\pi\) | |||||||
\(228\) | 17.9970 | 1.19188 | ||||||||
\(229\) | −25.3914 | −1.67791 | −0.838954 | − | 0.544202i | \(-0.816832\pi\) | ||||
−0.838954 | + | 0.544202i | \(0.816832\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.947446 | −0.0622029 | ||||||||
\(233\) | −12.5174 | −0.820043 | −0.410022 | − | 0.912076i | \(-0.634479\pi\) | ||||
−0.410022 | + | 0.912076i | \(0.634479\pi\) | |||||||
\(234\) | 35.4162 | 2.31523 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −21.2155 | −1.38101 | ||||||||
\(237\) | 2.63096 | 0.170899 | ||||||||
\(238\) | −6.52163 | −0.422734 | ||||||||
\(239\) | −20.3876 | −1.31876 | −0.659381 | − | 0.751809i | \(-0.729182\pi\) | ||||
−0.659381 | + | 0.751809i | \(0.729182\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 22.7935 | 1.46826 | 0.734129 | − | 0.679010i | \(-0.237591\pi\) | ||||
0.734129 | + | 0.679010i | \(0.237591\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 21.6131 | 1.38648 | ||||||||
\(244\) | 5.17717 | 0.331435 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 30.6827 | 1.95626 | ||||||||
\(247\) | −14.8314 | −0.943700 | ||||||||
\(248\) | −0.0806795 | −0.00512316 | ||||||||
\(249\) | 19.3804 | 1.22818 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 16.9528 | 1.07005 | 0.535025 | − | 0.844836i | \(-0.320302\pi\) | ||||
0.535025 | + | 0.844836i | \(0.320302\pi\) | |||||||
\(252\) | −7.82663 | −0.493031 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −14.3487 | −0.900320 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 14.3681 | 0.898009 | ||||||||
\(257\) | 4.73584 | 0.295414 | 0.147707 | − | 0.989031i | \(-0.452811\pi\) | ||||
0.147707 | + | 0.989031i | \(0.452811\pi\) | |||||||
\(258\) | −11.9962 | −0.746853 | ||||||||
\(259\) | −6.12096 | −0.380338 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −19.0011 | −1.17614 | ||||||||
\(262\) | −14.6050 | −0.902300 | ||||||||
\(263\) | 18.1037 | 1.11632 | 0.558162 | − | 0.829732i | \(-0.311507\pi\) | ||||
0.558162 | + | 0.829732i | \(0.311507\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 6.40612 | 0.392784 | ||||||||
\(267\) | 31.9619 | 1.95604 | ||||||||
\(268\) | −20.1160 | −1.22878 | ||||||||
\(269\) | −2.29802 | −0.140113 | −0.0700563 | − | 0.997543i | \(-0.522318\pi\) | ||||
−0.0700563 | + | 0.997543i | \(0.522318\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −0.805688 | −0.0489421 | −0.0244710 | − | 0.999701i | \(-0.507790\pi\) | ||||
−0.0244710 | + | 0.999701i | \(0.507790\pi\) | |||||||
\(272\) | −12.6805 | −0.768870 | ||||||||
\(273\) | 11.4532 | 0.693176 | ||||||||
\(274\) | 17.1827 | 1.03804 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 18.4848 | 1.11265 | ||||||||
\(277\) | 11.8329 | 0.710970 | 0.355485 | − | 0.934682i | \(-0.384316\pi\) | ||||
0.355485 | + | 0.934682i | \(0.384316\pi\) | |||||||
\(278\) | −15.6636 | −0.939442 | ||||||||
\(279\) | −1.61803 | −0.0968692 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −6.22929 | −0.371608 | −0.185804 | − | 0.982587i | \(-0.559489\pi\) | ||||
−0.185804 | + | 0.982587i | \(0.559489\pi\) | |||||||
\(282\) | −22.9325 | −1.36561 | ||||||||
\(283\) | 8.64565 | 0.513930 | 0.256965 | − | 0.966421i | \(-0.417277\pi\) | ||||
0.256965 | + | 0.966421i | \(0.417277\pi\) | |||||||
\(284\) | −11.4259 | −0.678000 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 5.58790 | 0.329843 | ||||||||
\(288\) | −31.2354 | −1.84057 | ||||||||
\(289\) | −5.86649 | −0.345088 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 7.91221 | 0.463822 | ||||||||
\(292\) | −3.00788 | −0.176023 | ||||||||
\(293\) | −5.81048 | −0.339452 | −0.169726 | − | 0.985491i | \(-0.554288\pi\) | ||||
−0.169726 | + | 0.985491i | \(0.554288\pi\) | |||||||
\(294\) | 32.1758 | 1.87653 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 1.22216 | 0.0710369 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 34.1665 | 1.97921 | ||||||||
\(299\) | −15.2334 | −0.880970 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.18474 | −0.125926 | ||||||||
\(302\) | 24.8562 | 1.43031 | ||||||||
\(303\) | 39.8231 | 2.28778 | ||||||||
\(304\) | 12.4559 | 0.714397 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 26.1150 | 1.49290 | ||||||||
\(307\) | −18.4721 | −1.05426 | −0.527130 | − | 0.849785i | \(-0.676732\pi\) | ||||
−0.527130 | + | 0.849785i | \(0.676732\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 25.5427 | 1.45307 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −11.3314 | −0.642543 | −0.321271 | − | 0.946987i | \(-0.604110\pi\) | ||||
−0.321271 | + | 0.946987i | \(0.604110\pi\) | |||||||
\(312\) | −2.28684 | −0.129467 | ||||||||
\(313\) | −5.11499 | −0.289116 | −0.144558 | − | 0.989496i | \(-0.546176\pi\) | ||||
−0.144558 | + | 0.989496i | \(0.546176\pi\) | |||||||
\(314\) | 8.51913 | 0.480762 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.10358 | −0.118336 | ||||||||
\(317\) | 11.8133 | 0.663501 | 0.331750 | − | 0.943367i | \(-0.392361\pi\) | ||||
0.331750 | + | 0.943367i | \(0.392361\pi\) | |||||||
\(318\) | 14.1104 | 0.791270 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 20.0260 | 1.11774 | ||||||||
\(322\) | 6.57975 | 0.366675 | ||||||||
\(323\) | −10.9363 | −0.608512 | ||||||||
\(324\) | −11.8276 | −0.657092 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −33.5396 | −1.85759 | ||||||||
\(327\) | −25.8279 | −1.42829 | ||||||||
\(328\) | −1.11573 | −0.0616059 | ||||||||
\(329\) | −4.17645 | −0.230255 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 29.2692 | 1.60878 | 0.804391 | − | 0.594100i | \(-0.202492\pi\) | ||||
0.804391 | + | 0.594100i | \(0.202492\pi\) | |||||||
\(332\) | −15.4956 | −0.850430 | ||||||||
\(333\) | 24.5106 | 1.34317 | ||||||||
\(334\) | −18.5507 | −1.01505 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −9.61876 | −0.524746 | ||||||||
\(337\) | 26.6441 | 1.45140 | 0.725698 | − | 0.688013i | \(-0.241517\pi\) | ||||
0.725698 | + | 0.688013i | \(0.241517\pi\) | |||||||
\(338\) | 15.1300 | 0.822964 | ||||||||
\(339\) | −13.1517 | −0.714305 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −25.6525 | −1.38713 | ||||||||
\(343\) | 12.6206 | 0.681448 | ||||||||
\(344\) | 0.436225 | 0.0235197 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 8.31667 | 0.447107 | ||||||||
\(347\) | −4.31128 | −0.231442 | −0.115721 | − | 0.993282i | \(-0.536918\pi\) | ||||
−0.115721 | + | 0.993282i | \(0.536918\pi\) | |||||||
\(348\) | 26.9769 | 1.44611 | ||||||||
\(349\) | 13.1695 | 0.704947 | 0.352473 | − | 0.935822i | \(-0.385341\pi\) | ||||
0.352473 | + | 0.935822i | \(0.385341\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −10.2874 | −0.549100 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 25.4904 | 1.35672 | 0.678358 | − | 0.734732i | \(-0.262692\pi\) | ||||
0.678358 | + | 0.734732i | \(0.262692\pi\) | |||||||
\(354\) | 53.6970 | 2.85396 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −25.5551 | −1.35442 | ||||||||
\(357\) | 8.44527 | 0.446971 | ||||||||
\(358\) | −32.9781 | −1.74294 | ||||||||
\(359\) | −26.2741 | −1.38670 | −0.693348 | − | 0.720603i | \(-0.743865\pi\) | ||||
−0.693348 | + | 0.720603i | \(0.743865\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −8.25740 | −0.434600 | ||||||||
\(362\) | −11.2252 | −0.589981 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −9.15736 | −0.479976 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −13.1036 | −0.684935 | ||||||||
\(367\) | 2.01873 | 0.105377 | 0.0526885 | − | 0.998611i | \(-0.483221\pi\) | ||||
0.0526885 | + | 0.998611i | \(0.483221\pi\) | |||||||
\(368\) | 12.7935 | 0.666909 | ||||||||
\(369\) | −22.3761 | −1.16485 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 2.56976 | 0.133416 | ||||||||
\(372\) | 2.29721 | 0.119105 | ||||||||
\(373\) | 8.87153 | 0.459351 | 0.229675 | − | 0.973267i | \(-0.426234\pi\) | ||||
0.229675 | + | 0.973267i | \(0.426234\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0.833908 | 0.0430055 | ||||||||
\(377\) | −22.2318 | −1.14499 | ||||||||
\(378\) | 4.44343 | 0.228545 | ||||||||
\(379\) | 21.0641 | 1.08199 | 0.540995 | − | 0.841026i | \(-0.318048\pi\) | ||||
0.540995 | + | 0.841026i | \(0.318048\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 18.5811 | 0.951937 | ||||||||
\(382\) | 44.1489 | 2.25886 | ||||||||
\(383\) | 25.9795 | 1.32749 | 0.663746 | − | 0.747958i | \(-0.268965\pi\) | ||||
0.663746 | + | 0.747958i | \(0.268965\pi\) | |||||||
\(384\) | 4.03836 | 0.206082 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −45.4902 | −2.31539 | ||||||||
\(387\) | 8.74853 | 0.444713 | ||||||||
\(388\) | −6.32620 | −0.321164 | ||||||||
\(389\) | −1.64381 | −0.0833444 | −0.0416722 | − | 0.999131i | \(-0.513269\pi\) | ||||
−0.0416722 | + | 0.999131i | \(0.513269\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −11.2327 | −0.568063 | ||||||||
\(392\) | −1.17003 | −0.0590952 | ||||||||
\(393\) | 18.9129 | 0.954032 | ||||||||
\(394\) | 52.1055 | 2.62504 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 16.7088 | 0.838588 | 0.419294 | − | 0.907850i | \(-0.362278\pi\) | ||||
0.419294 | + | 0.907850i | \(0.362278\pi\) | |||||||
\(398\) | 34.3361 | 1.72111 | ||||||||
\(399\) | −8.29568 | −0.415304 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 27.7920 | 1.38786 | 0.693932 | − | 0.720040i | \(-0.255877\pi\) | ||||
0.693932 | + | 0.720040i | \(0.255877\pi\) | |||||||
\(402\) | 50.9143 | 2.53938 | ||||||||
\(403\) | −1.89314 | −0.0943041 | ||||||||
\(404\) | −31.8405 | −1.58412 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 9.60255 | 0.476567 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | −1.68626 | −0.0834822 | ||||||||
\(409\) | −39.4330 | −1.94983 | −0.974917 | − | 0.222569i | \(-0.928556\pi\) | ||||
−0.974917 | + | 0.222569i | \(0.928556\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −22.2509 | −1.09756 | ||||||||
\(412\) | −20.4227 | −1.00615 | ||||||||
\(413\) | 9.77924 | 0.481205 | ||||||||
\(414\) | −26.3478 | −1.29492 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −36.5463 | −1.79183 | ||||||||
\(417\) | 20.2838 | 0.993303 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 14.7812 | 0.722111 | 0.361055 | − | 0.932544i | \(-0.382417\pi\) | ||||
0.361055 | + | 0.932544i | \(0.382417\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −10.7773 | −0.525252 | −0.262626 | − | 0.964898i | \(-0.584589\pi\) | ||||
−0.262626 | + | 0.964898i | \(0.584589\pi\) | |||||||
\(422\) | 11.7907 | 0.573964 | ||||||||
\(423\) | 16.7241 | 0.813152 | ||||||||
\(424\) | −0.513102 | −0.0249184 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 28.9192 | 1.40114 | ||||||||
\(427\) | −2.38641 | −0.115487 | ||||||||
\(428\) | −16.0118 | −0.773960 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −32.1916 | −1.55061 | −0.775307 | − | 0.631585i | \(-0.782405\pi\) | ||||
−0.775307 | + | 0.631585i | \(0.782405\pi\) | |||||||
\(432\) | 8.63971 | 0.415678 | ||||||||
\(433\) | 0.382631 | 0.0183881 | 0.00919404 | − | 0.999958i | \(-0.497073\pi\) | ||||
0.00919404 | + | 0.999958i | \(0.497073\pi\) | |||||||
\(434\) | 0.817703 | 0.0392510 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 20.6507 | 0.988990 | ||||||||
\(437\) | 11.0338 | 0.527817 | ||||||||
\(438\) | 7.61305 | 0.363765 | ||||||||
\(439\) | −26.5331 | −1.26635 | −0.633177 | − | 0.774007i | \(-0.718249\pi\) | ||||
−0.633177 | + | 0.774007i | \(0.718249\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −23.4649 | −1.11738 | ||||||||
\(442\) | 30.5553 | 1.45337 | ||||||||
\(443\) | −14.5010 | −0.688963 | −0.344482 | − | 0.938793i | \(-0.611945\pi\) | ||||
−0.344482 | + | 0.938793i | \(0.611945\pi\) | |||||||
\(444\) | −34.7990 | −1.65149 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 38.4951 | 1.82279 | ||||||||
\(447\) | −44.2443 | −2.09268 | ||||||||
\(448\) | 8.44450 | 0.398965 | ||||||||
\(449\) | 10.1140 | 0.477309 | 0.238655 | − | 0.971105i | \(-0.423294\pi\) | ||||
0.238655 | + | 0.971105i | \(0.423294\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 10.5155 | 0.494606 | ||||||||
\(453\) | −32.1878 | −1.51232 | ||||||||
\(454\) | −57.6060 | −2.70358 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 1.65639 | 0.0775676 | ||||||||
\(457\) | −39.0887 | −1.82849 | −0.914247 | − | 0.405157i | \(-0.867217\pi\) | ||||
−0.914247 | + | 0.405157i | \(0.867217\pi\) | |||||||
\(458\) | −51.3841 | −2.40102 | ||||||||
\(459\) | −7.58567 | −0.354069 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −39.1322 | −1.82257 | −0.911285 | − | 0.411776i | \(-0.864908\pi\) | ||||
−0.911285 | + | 0.411776i | \(0.864908\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −12.9189 | −0.600392 | −0.300196 | − | 0.953878i | \(-0.597052\pi\) | ||||
−0.300196 | + | 0.953878i | \(0.597052\pi\) | |||||||
\(464\) | 18.6710 | 0.866780 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −25.3313 | −1.17345 | ||||||||
\(467\) | −11.2491 | −0.520546 | −0.260273 | − | 0.965535i | \(-0.583813\pi\) | ||||
−0.260273 | + | 0.965535i | \(0.583813\pi\) | |||||||
\(468\) | 36.6695 | 1.69505 | ||||||||
\(469\) | 9.27247 | 0.428163 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −11.0320 | −0.508326 | ||||||||
\(472\) | −1.95261 | −0.0898762 | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 5.32424 | 0.244550 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −6.75241 | −0.309496 | ||||||||
\(477\) | −10.2903 | −0.471160 | ||||||||
\(478\) | −41.2580 | −1.88710 | ||||||||
\(479\) | −20.9663 | −0.957974 | −0.478987 | − | 0.877822i | \(-0.658996\pi\) | ||||
−0.478987 | + | 0.877822i | \(0.658996\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 28.6780 | 1.30761 | ||||||||
\(482\) | 46.1268 | 2.10102 | ||||||||
\(483\) | −8.52053 | −0.387697 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 43.7381 | 1.98400 | ||||||||
\(487\) | 22.5691 | 1.02270 | 0.511352 | − | 0.859371i | \(-0.329145\pi\) | ||||
0.511352 | + | 0.859371i | \(0.329145\pi\) | |||||||
\(488\) | 0.476492 | 0.0215698 | ||||||||
\(489\) | 43.4326 | 1.96409 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 20.0762 | 0.906026 | 0.453013 | − | 0.891504i | \(-0.350349\pi\) | ||||
0.453013 | + | 0.891504i | \(0.350349\pi\) | |||||||
\(492\) | 31.7685 | 1.43223 | ||||||||
\(493\) | −16.3932 | −0.738310 | ||||||||
\(494\) | −30.0141 | −1.35040 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.58993 | 0.0713898 | ||||||||
\(497\) | 5.26674 | 0.236245 | ||||||||
\(498\) | 39.2198 | 1.75748 | ||||||||
\(499\) | 4.65184 | 0.208245 | 0.104123 | − | 0.994564i | \(-0.466797\pi\) | ||||
0.104123 | + | 0.994564i | \(0.466797\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 24.0224 | 1.07324 | ||||||||
\(502\) | 34.3071 | 1.53120 | ||||||||
\(503\) | −12.9972 | −0.579517 | −0.289759 | − | 0.957100i | \(-0.593575\pi\) | ||||
−0.289759 | + | 0.957100i | \(0.593575\pi\) | |||||||
\(504\) | −0.720340 | −0.0320865 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −19.5928 | −0.870147 | ||||||||
\(508\) | −14.8565 | −0.659150 | ||||||||
\(509\) | 29.5445 | 1.30954 | 0.654769 | − | 0.755829i | \(-0.272766\pi\) | ||||
0.654769 | + | 0.755829i | \(0.272766\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.38648 | 0.0613343 | ||||||||
\(512\) | 32.1586 | 1.42122 | ||||||||
\(513\) | 7.45131 | 0.328983 | ||||||||
\(514\) | 9.58385 | 0.422725 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −12.4207 | −0.546793 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | −12.3869 | −0.544248 | ||||||||
\(519\) | −10.7698 | −0.472741 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −31.4512 | −1.37790 | −0.688952 | − | 0.724807i | \(-0.741929\pi\) | ||||
−0.688952 | + | 0.724807i | \(0.741929\pi\) | |||||||
\(522\) | −38.4522 | −1.68301 | ||||||||
\(523\) | −9.02021 | −0.394426 | −0.197213 | − | 0.980361i | \(-0.563189\pi\) | ||||
−0.197213 | + | 0.980361i | \(0.563189\pi\) | |||||||
\(524\) | −15.1218 | −0.660600 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 36.6362 | 1.59741 | ||||||||
\(527\) | −1.39595 | −0.0608088 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −11.6672 | −0.507269 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −39.1597 | −1.69939 | ||||||||
\(532\) | 6.63281 | 0.287569 | ||||||||
\(533\) | −26.1806 | −1.13401 | ||||||||
\(534\) | 64.6808 | 2.79901 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −1.85142 | −0.0799693 | ||||||||
\(537\) | 42.7054 | 1.84287 | ||||||||
\(538\) | −4.65046 | −0.200496 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 8.55013 | 0.367599 | 0.183799 | − | 0.982964i | \(-0.441160\pi\) | ||||
0.183799 | + | 0.982964i | \(0.441160\pi\) | |||||||
\(542\) | −1.63046 | −0.0700342 | ||||||||
\(543\) | 14.5362 | 0.623806 | ||||||||
\(544\) | −26.9483 | −1.15540 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 23.1776 | 0.991908 | ||||||||
\(547\) | 33.9300 | 1.45074 | 0.725371 | − | 0.688358i | \(-0.241668\pi\) | ||||
0.725371 | + | 0.688358i | \(0.241668\pi\) | |||||||
\(548\) | 17.7907 | 0.759981 | ||||||||
\(549\) | 9.55608 | 0.407844 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 16.1028 | 0.686002 | ||||||||
\(552\) | 1.70128 | 0.0724115 | ||||||||
\(553\) | 0.969645 | 0.0412335 | ||||||||
\(554\) | 23.9460 | 1.01737 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −16.2179 | −0.687792 | ||||||||
\(557\) | 22.9406 | 0.972025 | 0.486013 | − | 0.873952i | \(-0.338451\pi\) | ||||
0.486013 | + | 0.873952i | \(0.338451\pi\) | |||||||
\(558\) | −3.27439 | −0.138616 | ||||||||
\(559\) | 10.2360 | 0.432937 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −12.6061 | −0.531757 | ||||||||
\(563\) | −9.28262 | −0.391216 | −0.195608 | − | 0.980682i | \(-0.562668\pi\) | ||||
−0.195608 | + | 0.980682i | \(0.562668\pi\) | |||||||
\(564\) | −23.7440 | −0.999805 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 17.4961 | 0.735414 | ||||||||
\(567\) | 5.45194 | 0.228960 | ||||||||
\(568\) | −1.05160 | −0.0441243 | ||||||||
\(569\) | −30.9271 | −1.29653 | −0.648266 | − | 0.761414i | \(-0.724506\pi\) | ||||
−0.648266 | + | 0.761414i | \(0.724506\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 2.63736 | 0.110370 | 0.0551851 | − | 0.998476i | \(-0.482425\pi\) | ||||
0.0551851 | + | 0.998476i | \(0.482425\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −57.1712 | −2.38836 | ||||||||
\(574\) | 11.3081 | 0.471993 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −33.8150 | −1.40896 | ||||||||
\(577\) | −36.6305 | −1.52495 | −0.762474 | − | 0.647019i | \(-0.776015\pi\) | ||||
−0.762474 | + | 0.647019i | \(0.776015\pi\) | |||||||
\(578\) | −11.8719 | −0.493807 | ||||||||
\(579\) | 58.9081 | 2.44814 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 7.14266 | 0.296328 | ||||||||
\(582\) | 16.0118 | 0.663710 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −0.276837 | −0.0114556 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −11.7586 | −0.485742 | ||||||||
\(587\) | 13.7524 | 0.567623 | 0.283812 | − | 0.958880i | \(-0.408401\pi\) | ||||
0.283812 | + | 0.958880i | \(0.408401\pi\) | |||||||
\(588\) | 33.3144 | 1.37386 | ||||||||
\(589\) | 1.37123 | 0.0565005 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −67.4748 | −2.77554 | ||||||||
\(592\) | −24.0848 | −0.989879 | ||||||||
\(593\) | −20.1550 | −0.827668 | −0.413834 | − | 0.910352i | \(-0.635811\pi\) | ||||
−0.413834 | + | 0.910352i | \(0.635811\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 35.3755 | 1.44904 | ||||||||
\(597\) | −44.4640 | −1.81979 | ||||||||
\(598\) | −30.8276 | −1.26063 | ||||||||
\(599\) | 4.32318 | 0.176640 | 0.0883202 | − | 0.996092i | \(-0.471850\pi\) | ||||
0.0883202 | + | 0.996092i | \(0.471850\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −35.9895 | −1.46804 | −0.734021 | − | 0.679127i | \(-0.762359\pi\) | ||||
−0.734021 | + | 0.679127i | \(0.762359\pi\) | |||||||
\(602\) | −4.42123 | −0.180196 | ||||||||
\(603\) | −37.1304 | −1.51207 | ||||||||
\(604\) | 25.7358 | 1.04717 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 80.5893 | 3.27372 | ||||||||
\(607\) | −39.6498 | −1.60934 | −0.804669 | − | 0.593724i | \(-0.797657\pi\) | ||||
−0.804669 | + | 0.593724i | \(0.797657\pi\) | |||||||
\(608\) | 26.4710 | 1.07354 | ||||||||
\(609\) | −12.4349 | −0.503889 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 19.5676 | 0.791620 | ||||||||
\(612\) | 27.0392 | 1.09299 | ||||||||
\(613\) | 3.81489 | 0.154082 | 0.0770410 | − | 0.997028i | \(-0.475453\pi\) | ||||
0.0770410 | + | 0.997028i | \(0.475453\pi\) | |||||||
\(614\) | −37.3817 | −1.50860 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 28.4055 | 1.14356 | 0.571781 | − | 0.820407i | \(-0.306253\pi\) | ||||
0.571781 | + | 0.820407i | \(0.306253\pi\) | |||||||
\(618\) | 51.6904 | 2.07929 | ||||||||
\(619\) | 24.0709 | 0.967489 | 0.483745 | − | 0.875209i | \(-0.339276\pi\) | ||||
0.483745 | + | 0.875209i | \(0.339276\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 7.65327 | 0.307115 | ||||||||
\(622\) | −22.9311 | −0.919453 | ||||||||
\(623\) | 11.7796 | 0.471940 | ||||||||
\(624\) | 45.0660 | 1.80408 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −10.3511 | −0.413714 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 8.82059 | 0.351980 | ||||||||
\(629\) | 21.1465 | 0.843165 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 19.1216 | 0.761218 | 0.380609 | − | 0.924736i | \(-0.375714\pi\) | ||||
0.380609 | + | 0.924736i | \(0.375714\pi\) | |||||||
\(632\) | −0.193608 | −0.00770131 | ||||||||
\(633\) | −15.2686 | −0.606871 | ||||||||
\(634\) | 23.9064 | 0.949443 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 14.6097 | 0.579311 | ||||||||
\(637\) | −27.4546 | −1.08779 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −21.0900 | −0.834307 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 11.9790 | 0.473143 | 0.236571 | − | 0.971614i | \(-0.423976\pi\) | ||||
0.236571 | + | 0.971614i | \(0.423976\pi\) | |||||||
\(642\) | 40.5264 | 1.59945 | ||||||||
\(643\) | 25.7408 | 1.01512 | 0.507559 | − | 0.861617i | \(-0.330548\pi\) | ||||
0.507559 | + | 0.861617i | \(0.330548\pi\) | |||||||
\(644\) | 6.81258 | 0.268453 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −22.1316 | −0.870757 | ||||||||
\(647\) | −9.30228 | −0.365710 | −0.182855 | − | 0.983140i | \(-0.558534\pi\) | ||||
−0.182855 | + | 0.983140i | \(0.558534\pi\) | |||||||
\(648\) | −1.08858 | −0.0427636 | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −1.05889 | −0.0415014 | ||||||||
\(652\) | −34.7265 | −1.35999 | ||||||||
\(653\) | 37.4506 | 1.46556 | 0.732778 | − | 0.680468i | \(-0.238223\pi\) | ||||
0.732778 | + | 0.680468i | \(0.238223\pi\) | |||||||
\(654\) | −52.2676 | −2.04382 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 21.9873 | 0.858461 | ||||||||
\(657\) | −5.55198 | −0.216604 | ||||||||
\(658\) | −8.45182 | −0.329486 | ||||||||
\(659\) | 4.93753 | 0.192339 | 0.0961693 | − | 0.995365i | \(-0.469341\pi\) | ||||
0.0961693 | + | 0.995365i | \(0.469341\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −4.82155 | −0.187537 | −0.0937683 | − | 0.995594i | \(-0.529891\pi\) | ||||
−0.0937683 | + | 0.995594i | \(0.529891\pi\) | |||||||
\(662\) | 59.2317 | 2.30210 | ||||||||
\(663\) | −39.5679 | −1.53669 | ||||||||
\(664\) | −1.42617 | −0.0553460 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 49.6017 | 1.92203 | ||||||||
\(667\) | 16.5392 | 0.640402 | ||||||||
\(668\) | −19.2071 | −0.743145 | ||||||||
\(669\) | −49.8497 | −1.92730 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −20.4415 | −0.788548 | ||||||||
\(673\) | 32.9141 | 1.26874 | 0.634372 | − | 0.773028i | \(-0.281259\pi\) | ||||
0.634372 | + | 0.773028i | \(0.281259\pi\) | |||||||
\(674\) | 53.9192 | 2.07689 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 15.6654 | 0.602515 | ||||||||
\(677\) | 17.1426 | 0.658842 | 0.329421 | − | 0.944183i | \(-0.393146\pi\) | ||||
0.329421 | + | 0.944183i | \(0.393146\pi\) | |||||||
\(678\) | −26.6150 | −1.02214 | ||||||||
\(679\) | 2.91605 | 0.111908 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 74.5977 | 2.85859 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −19.3586 | −0.740737 | −0.370368 | − | 0.928885i | \(-0.620769\pi\) | ||||
−0.370368 | + | 0.928885i | \(0.620769\pi\) | |||||||
\(684\) | −26.5602 | −1.01556 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 25.5401 | 0.975125 | ||||||||
\(687\) | 66.5405 | 2.53868 | ||||||||
\(688\) | −8.59655 | −0.327740 | ||||||||
\(689\) | −12.0399 | −0.458684 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −9.14145 | −0.347757 | −0.173879 | − | 0.984767i | \(-0.555630\pi\) | ||||
−0.173879 | + | 0.984767i | \(0.555630\pi\) | |||||||
\(692\) | 8.61097 | 0.327340 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −8.72467 | −0.331184 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 2.48287 | 0.0941130 | ||||||||
\(697\) | −19.3049 | −0.731225 | ||||||||
\(698\) | 26.6509 | 1.00875 | ||||||||
\(699\) | 32.8031 | 1.24073 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 15.2935 | 0.577626 | 0.288813 | − | 0.957385i | \(-0.406739\pi\) | ||||
0.288813 | + | 0.957385i | \(0.406739\pi\) | |||||||
\(702\) | −20.8184 | −0.785741 | ||||||||
\(703\) | −20.7719 | −0.783428 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 51.5844 | 1.94141 | ||||||||
\(707\) | 14.6768 | 0.551979 | ||||||||
\(708\) | 55.5971 | 2.08947 | ||||||||
\(709\) | 42.9129 | 1.61163 | 0.805813 | − | 0.592170i | \(-0.201729\pi\) | ||||
0.805813 | + | 0.592170i | \(0.201729\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −3.88282 | −0.145617 | ||||||||
\(712\) | −2.35202 | −0.0881456 | ||||||||
\(713\) | 1.40839 | 0.0527448 | ||||||||
\(714\) | 17.0905 | 0.639598 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −34.1450 | −1.27606 | ||||||||
\(717\) | 53.4276 | 1.99529 | ||||||||
\(718\) | −53.1705 | −1.98431 | ||||||||
\(719\) | 4.81326 | 0.179504 | 0.0897521 | − | 0.995964i | \(-0.471393\pi\) | ||||
0.0897521 | + | 0.995964i | \(0.471393\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 9.41380 | 0.350588 | ||||||||
\(722\) | −16.7104 | −0.621895 | ||||||||
\(723\) | −59.7325 | −2.22147 | ||||||||
\(724\) | −11.6224 | −0.431942 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −21.8922 | −0.811937 | −0.405969 | − | 0.913887i | \(-0.633066\pi\) | ||||
−0.405969 | + | 0.913887i | \(0.633066\pi\) | |||||||
\(728\) | −0.842817 | −0.0312369 | ||||||||
\(729\) | −39.7047 | −1.47054 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 7.54777 | 0.279164 | ||||||||
\(732\) | −13.5673 | −0.501461 | ||||||||
\(733\) | 48.0295 | 1.77401 | 0.887005 | − | 0.461759i | \(-0.152782\pi\) | ||||
0.887005 | + | 0.461759i | \(0.152782\pi\) | |||||||
\(734\) | 4.08528 | 0.150790 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 27.1885 | 1.00218 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −45.2820 | −1.66685 | ||||||||
\(739\) | 34.1074 | 1.25466 | 0.627330 | − | 0.778754i | \(-0.284148\pi\) | ||||
0.627330 | + | 0.778754i | \(0.284148\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 38.8671 | 1.42782 | ||||||||
\(742\) | 5.20039 | 0.190912 | ||||||||
\(743\) | 26.4402 | 0.969996 | 0.484998 | − | 0.874515i | \(-0.338820\pi\) | ||||
0.484998 | + | 0.874515i | \(0.338820\pi\) | |||||||
\(744\) | 0.211428 | 0.00775134 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 17.9532 | 0.657312 | ||||||||
\(747\) | −28.6019 | −1.04649 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 7.38062 | 0.269682 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 45.9403 | 1.67639 | 0.838193 | − | 0.545374i | \(-0.183612\pi\) | ||||
0.838193 | + | 0.545374i | \(0.183612\pi\) | |||||||
\(752\) | −16.4335 | −0.599270 | ||||||||
\(753\) | −44.4264 | −1.61899 | ||||||||
\(754\) | −44.9901 | −1.63844 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 4.60066 | 0.167324 | ||||||||
\(757\) | −30.8557 | −1.12147 | −0.560735 | − | 0.827996i | \(-0.689481\pi\) | ||||
−0.560735 | + | 0.827996i | \(0.689481\pi\) | |||||||
\(758\) | 42.6271 | 1.54828 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 14.1975 | 0.514658 | 0.257329 | − | 0.966324i | \(-0.417158\pi\) | ||||
0.257329 | + | 0.966324i | \(0.417158\pi\) | |||||||
\(762\) | 37.6022 | 1.36218 | ||||||||
\(763\) | −9.51892 | −0.344608 | ||||||||
\(764\) | 45.7112 | 1.65377 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 52.5744 | 1.89959 | ||||||||
\(767\) | −45.8179 | −1.65439 | ||||||||
\(768\) | −37.6531 | −1.35869 | ||||||||
\(769\) | 30.0208 | 1.08258 | 0.541290 | − | 0.840836i | \(-0.317936\pi\) | ||||
0.541290 | + | 0.840836i | \(0.317936\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −12.4107 | −0.446961 | ||||||||
\(772\) | −47.0999 | −1.69516 | ||||||||
\(773\) | −30.4294 | −1.09447 | −0.547234 | − | 0.836979i | \(-0.684319\pi\) | ||||
−0.547234 | + | 0.836979i | \(0.684319\pi\) | |||||||
\(774\) | 17.7042 | 0.636366 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −0.582245 | −0.0209014 | ||||||||
\(777\) | 16.0405 | 0.575451 | ||||||||
\(778\) | −3.32655 | −0.119262 | ||||||||
\(779\) | 18.9630 | 0.679418 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | −22.7315 | −0.812876 | ||||||||
\(783\) | 11.1693 | 0.399157 | ||||||||
\(784\) | 23.0573 | 0.823476 | ||||||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 38.2738 | 1.36518 | ||||||||
\(787\) | −30.4648 | −1.08595 | −0.542976 | − | 0.839748i | \(-0.682702\pi\) | ||||
−0.542976 | + | 0.839748i | \(0.682702\pi\) | |||||||
\(788\) | 53.9494 | 1.92187 | ||||||||
\(789\) | −47.4425 | −1.68900 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −4.84709 | −0.172343 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 11.1809 | 0.397044 | ||||||||
\(794\) | 33.8132 | 1.19999 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 35.5512 | 1.26008 | ||||||||
\(797\) | −33.0452 | −1.17052 | −0.585260 | − | 0.810846i | \(-0.699008\pi\) | ||||
−0.585260 | + | 0.810846i | \(0.699008\pi\) | |||||||
\(798\) | −16.7878 | −0.594283 | ||||||||
\(799\) | 14.4287 | 0.510449 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −47.1699 | −1.66667 | ||||||||
\(802\) | 56.2421 | 1.98598 | ||||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 52.7160 | 1.85915 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −3.83112 | −0.134945 | ||||||||
\(807\) | 6.02218 | 0.211991 | ||||||||
\(808\) | −2.93051 | −0.103095 | ||||||||
\(809\) | −10.9895 | −0.386371 | −0.193186 | − | 0.981162i | \(-0.561882\pi\) | ||||
−0.193186 | + | 0.981162i | \(0.561882\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −40.7587 | −1.43123 | −0.715615 | − | 0.698495i | \(-0.753854\pi\) | ||||
−0.715615 | + | 0.698495i | \(0.753854\pi\) | |||||||
\(812\) | 9.94235 | 0.348908 | ||||||||
\(813\) | 2.11138 | 0.0740494 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 33.2305 | 1.16330 | ||||||||
\(817\) | −7.41408 | −0.259386 | ||||||||
\(818\) | −79.7998 | −2.79013 | ||||||||
\(819\) | −16.9027 | −0.590630 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −15.1076 | −0.527259 | −0.263630 | − | 0.964624i | \(-0.584920\pi\) | ||||
−0.263630 | + | 0.964624i | \(0.584920\pi\) | |||||||
\(822\) | −45.0288 | −1.57056 | ||||||||
\(823\) | 36.4313 | 1.26991 | 0.634957 | − | 0.772548i | \(-0.281018\pi\) | ||||
0.634957 | + | 0.772548i | \(0.281018\pi\) | |||||||
\(824\) | −1.87964 | −0.0654805 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 19.7901 | 0.688585 | ||||||||
\(827\) | −3.80342 | −0.132258 | −0.0661290 | − | 0.997811i | \(-0.521065\pi\) | ||||
−0.0661290 | + | 0.997811i | \(0.521065\pi\) | |||||||
\(828\) | −27.2801 | −0.948050 | ||||||||
\(829\) | −27.3063 | −0.948386 | −0.474193 | − | 0.880421i | \(-0.657260\pi\) | ||||
−0.474193 | + | 0.880421i | \(0.657260\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −31.0092 | −1.07570 | ||||||||
\(832\) | −39.5644 | −1.37165 | ||||||||
\(833\) | −20.2443 | −0.701424 | ||||||||
\(834\) | 41.0480 | 1.42138 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0.951115 | 0.0328754 | ||||||||
\(838\) | 29.9125 | 1.03331 | ||||||||
\(839\) | 28.3250 | 0.977888 | 0.488944 | − | 0.872315i | \(-0.337382\pi\) | ||||
0.488944 | + | 0.872315i | \(0.337382\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −4.86246 | −0.167671 | ||||||||
\(842\) | −21.8098 | −0.751615 | ||||||||
\(843\) | 16.3244 | 0.562244 | ||||||||
\(844\) | 12.2080 | 0.420215 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 33.8442 | 1.16359 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 10.1115 | 0.347232 | ||||||||
\(849\) | −22.6567 | −0.777577 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −21.3349 | −0.731351 | ||||||||
\(852\) | 29.9426 | 1.02582 | ||||||||
\(853\) | −8.34318 | −0.285665 | −0.142833 | − | 0.989747i | \(-0.545621\pi\) | ||||
−0.142833 | + | 0.989747i | \(0.545621\pi\) | |||||||
\(854\) | −4.82934 | −0.165257 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −1.47368 | −0.0503694 | ||||||||
\(857\) | 8.59547 | 0.293616 | 0.146808 | − | 0.989165i | \(-0.453100\pi\) | ||||
0.146808 | + | 0.989165i | \(0.453100\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 9.40807 | 0.320999 | 0.160500 | − | 0.987036i | \(-0.448689\pi\) | ||||
0.160500 | + | 0.987036i | \(0.448689\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −14.6436 | −0.499054 | ||||||||
\(862\) | −65.1456 | −2.21887 | ||||||||
\(863\) | −10.3261 | −0.351503 | −0.175752 | − | 0.984435i | \(-0.556236\pi\) | ||||
−0.175752 | + | 0.984435i | \(0.556236\pi\) | |||||||
\(864\) | 18.3609 | 0.624649 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 0.774324 | 0.0263126 | ||||||||
\(867\) | 15.3737 | 0.522118 | ||||||||
\(868\) | 0.846638 | 0.0287368 | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −43.4435 | −1.47203 | ||||||||
\(872\) | 1.90063 | 0.0643635 | ||||||||
\(873\) | −11.6770 | −0.395205 | ||||||||
\(874\) | 22.3288 | 0.755285 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 7.88244 | 0.266323 | ||||||||
\(877\) | −29.8032 | −1.00638 | −0.503191 | − | 0.864175i | \(-0.667841\pi\) | ||||
−0.503191 | + | 0.864175i | \(0.667841\pi\) | |||||||
\(878\) | −53.6945 | −1.81210 | ||||||||
\(879\) | 15.2269 | 0.513591 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 30.1175 | 1.01469 | 0.507343 | − | 0.861744i | \(-0.330628\pi\) | ||||
0.507343 | + | 0.861744i | \(0.330628\pi\) | |||||||
\(882\) | −47.4856 | −1.59892 | ||||||||
\(883\) | 50.3619 | 1.69481 | 0.847406 | − | 0.530945i | \(-0.178163\pi\) | ||||
0.847406 | + | 0.530945i | \(0.178163\pi\) | |||||||
\(884\) | 31.6365 | 1.06405 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −29.3454 | −0.985879 | ||||||||
\(887\) | −41.4054 | −1.39026 | −0.695129 | − | 0.718885i | \(-0.744653\pi\) | ||||
−0.695129 | + | 0.718885i | \(0.744653\pi\) | |||||||
\(888\) | −3.20280 | −0.107479 | ||||||||
\(889\) | 6.84808 | 0.229677 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 39.8572 | 1.33452 | ||||||||
\(893\) | −14.1731 | −0.474284 | ||||||||
\(894\) | −89.5365 | −2.99455 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 1.48834 | 0.0497220 | ||||||||
\(897\) | 39.9205 | 1.33291 | ||||||||
\(898\) | 20.4675 | 0.683010 | ||||||||
\(899\) | 2.05543 | 0.0685523 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −8.87793 | −0.295767 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 5.72532 | 0.190527 | ||||||||
\(904\) | 0.967813 | 0.0321890 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −65.1380 | −2.16406 | ||||||||
\(907\) | −4.63216 | −0.153808 | −0.0769041 | − | 0.997038i | \(-0.524504\pi\) | ||||
−0.0769041 | + | 0.997038i | \(0.524504\pi\) | |||||||
\(908\) | −59.6445 | −1.97937 | ||||||||
\(909\) | −58.7716 | −1.94933 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 6.97855 | 0.231210 | 0.115605 | − | 0.993295i | \(-0.463119\pi\) | ||||
0.115605 | + | 0.993295i | \(0.463119\pi\) | |||||||
\(912\) | −32.6419 | −1.08088 | ||||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | −79.1032 | −2.61650 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −53.2024 | −1.75786 | ||||||||
\(917\) | 6.97038 | 0.230182 | ||||||||
\(918\) | −15.3510 | −0.506658 | ||||||||
\(919\) | 23.4207 | 0.772576 | 0.386288 | − | 0.922378i | \(-0.373757\pi\) | ||||
0.386288 | + | 0.922378i | \(0.373757\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 48.4079 | 1.59510 | ||||||||
\(922\) | −79.1912 | −2.60802 | ||||||||
\(923\) | −24.6758 | −0.812215 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −26.1438 | −0.859137 | ||||||||
\(927\) | −37.6964 | −1.23811 | ||||||||
\(928\) | 39.6791 | 1.30253 | ||||||||
\(929\) | −18.0905 | −0.593529 | −0.296765 | − | 0.954951i | \(-0.595908\pi\) | ||||
−0.296765 | + | 0.954951i | \(0.595908\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 19.8858 | 0.651729 | ||||||||
\(932\) | −26.2277 | −0.859116 | ||||||||
\(933\) | 29.6949 | 0.972168 | ||||||||
\(934\) | −22.7646 | −0.744881 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 3.37495 | 0.110314 | ||||||||
\(937\) | −11.0096 | −0.359668 | −0.179834 | − | 0.983697i | \(-0.557556\pi\) | ||||
−0.179834 | + | 0.983697i | \(0.557556\pi\) | |||||||
\(938\) | 18.7645 | 0.612684 | ||||||||
\(939\) | 13.4043 | 0.437433 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −33.7808 | −1.10122 | −0.550612 | − | 0.834762i | \(-0.685605\pi\) | ||||
−0.550612 | + | 0.834762i | \(0.685605\pi\) | |||||||
\(942\) | −22.3252 | −0.727394 | ||||||||
\(943\) | 19.4769 | 0.634256 | ||||||||
\(944\) | 38.4795 | 1.25240 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −46.9853 | −1.52682 | −0.763409 | − | 0.645915i | \(-0.776476\pi\) | ||||
−0.763409 | + | 0.645915i | \(0.776476\pi\) | |||||||
\(948\) | 5.51264 | 0.179042 | ||||||||
\(949\) | −6.49596 | −0.210868 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −30.9579 | −1.00388 | ||||||||
\(952\) | −0.621472 | −0.0201420 | ||||||||
\(953\) | −42.4907 | −1.37641 | −0.688204 | − | 0.725517i | \(-0.741600\pi\) | ||||
−0.688204 | + | 0.725517i | \(0.741600\pi\) | |||||||
\(954\) | −20.8243 | −0.674212 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −42.7180 | −1.38160 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −42.4291 | −1.37082 | ||||||||
\(959\) | −8.20060 | −0.264811 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −30.8250 | −0.994354 | ||||||||
\(962\) | 58.0352 | 1.87113 | ||||||||
\(963\) | −29.5548 | −0.952389 | ||||||||
\(964\) | 47.7590 | 1.53822 | ||||||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −17.2428 | −0.554780 | ||||||||
\(967\) | −54.1642 | −1.74180 | −0.870901 | − | 0.491458i | \(-0.836464\pi\) | ||||
−0.870901 | + | 0.491458i | \(0.836464\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 28.6596 | 0.920680 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 5.23848 | 0.168111 | 0.0840554 | − | 0.996461i | \(-0.473213\pi\) | ||||
0.0840554 | + | 0.996461i | \(0.473213\pi\) | |||||||
\(972\) | 45.2859 | 1.45254 | ||||||||
\(973\) | 7.47562 | 0.239657 | ||||||||
\(974\) | 45.6727 | 1.46345 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −9.39008 | −0.300569 | ||||||||
\(977\) | −7.78142 | −0.248950 | −0.124475 | − | 0.992223i | \(-0.539725\pi\) | ||||
−0.124475 | + | 0.992223i | \(0.539725\pi\) | |||||||
\(978\) | 87.8938 | 2.81053 | ||||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 38.1173 | 1.21699 | ||||||||
\(982\) | 40.6279 | 1.29649 | ||||||||
\(983\) | 51.5136 | 1.64303 | 0.821515 | − | 0.570188i | \(-0.193129\pi\) | ||||
0.821515 | + | 0.570188i | \(0.193129\pi\) | |||||||
\(984\) | 2.92388 | 0.0932098 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −33.1745 | −1.05649 | ||||||||
\(987\) | 10.9448 | 0.348376 | ||||||||
\(988\) | −31.0762 | −0.988664 | ||||||||
\(989\) | −7.61503 | −0.242144 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −22.3382 | −0.709596 | −0.354798 | − | 0.934943i | \(-0.615450\pi\) | ||||
−0.354798 | + | 0.934943i | \(0.615450\pi\) | |||||||
\(992\) | 3.37887 | 0.107279 | ||||||||
\(993\) | −76.7028 | −2.43409 | ||||||||
\(994\) | 10.6582 | 0.338058 | ||||||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 40.6076 | 1.28670 | ||||||||
\(997\) | −0.184546 | −0.00584463 | −0.00292231 | − | 0.999996i | \(-0.500930\pi\) | ||||
−0.00292231 | + | 0.999996i | \(0.500930\pi\) | |||||||
\(998\) | 9.41386 | 0.297990 | ||||||||
\(999\) | −14.4079 | −0.455845 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))