Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [125,2,Mod(1,125)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(125, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("125.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 125 = 5^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 125.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: | \(0.998130025266\) |
Analytic rank: | \(1\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{10})^+\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x - 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Fricke sign: | \(1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.1 | ||
Root | \(1.61803\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 125.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.61803 | −1.14412 | −0.572061 | − | 0.820211i | \(-0.693856\pi\) | ||||
−0.572061 | + | 0.820211i | \(0.693856\pi\) | |||||||
\(3\) | −0.381966 | −0.220528 | −0.110264 | − | 0.993902i | \(-0.535170\pi\) | ||||
−0.110264 | + | 0.993902i | \(0.535170\pi\) | |||||||
\(4\) | 0.618034 | 0.309017 | ||||||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0.618034 | 0.252311 | ||||||||
\(7\) | −3.00000 | −1.13389 | −0.566947 | − | 0.823754i | \(-0.691875\pi\) | ||||
−0.566947 | + | 0.823754i | \(0.691875\pi\) | |||||||
\(8\) | 2.23607 | 0.790569 | ||||||||
\(9\) | −2.85410 | −0.951367 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −3.00000 | −0.904534 | −0.452267 | − | 0.891883i | \(-0.649385\pi\) | ||||
−0.452267 | + | 0.891883i | \(0.649385\pi\) | |||||||
\(12\) | −0.236068 | −0.0681470 | ||||||||
\(13\) | −4.85410 | −1.34629 | −0.673143 | − | 0.739512i | \(-0.735056\pi\) | ||||
−0.673143 | + | 0.739512i | \(0.735056\pi\) | |||||||
\(14\) | 4.85410 | 1.29731 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −4.85410 | −1.21353 | ||||||||
\(17\) | 4.23607 | 1.02740 | 0.513699 | − | 0.857971i | \(-0.328275\pi\) | ||||
0.513699 | + | 0.857971i | \(0.328275\pi\) | |||||||
\(18\) | 4.61803 | 1.08848 | ||||||||
\(19\) | −3.61803 | −0.830034 | −0.415017 | − | 0.909814i | \(-0.636224\pi\) | ||||
−0.415017 | + | 0.909814i | \(0.636224\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.14590 | 0.250055 | ||||||||
\(22\) | 4.85410 | 1.03490 | ||||||||
\(23\) | −1.23607 | −0.257738 | −0.128869 | − | 0.991662i | \(-0.541135\pi\) | ||||
−0.128869 | + | 0.991662i | \(0.541135\pi\) | |||||||
\(24\) | −0.854102 | −0.174343 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 7.85410 | 1.54032 | ||||||||
\(27\) | 2.23607 | 0.430331 | ||||||||
\(28\) | −1.85410 | −0.350392 | ||||||||
\(29\) | 6.70820 | 1.24568 | 0.622841 | − | 0.782348i | \(-0.285978\pi\) | ||||
0.622841 | + | 0.782348i | \(0.285978\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.09017 | 0.914222 | 0.457111 | − | 0.889410i | \(-0.348884\pi\) | ||||
0.457111 | + | 0.889410i | \(0.348884\pi\) | |||||||
\(32\) | 3.38197 | 0.597853 | ||||||||
\(33\) | 1.14590 | 0.199475 | ||||||||
\(34\) | −6.85410 | −1.17547 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −1.76393 | −0.293989 | ||||||||
\(37\) | 3.70820 | 0.609625 | 0.304812 | − | 0.952412i | \(-0.401406\pi\) | ||||
0.304812 | + | 0.952412i | \(0.401406\pi\) | |||||||
\(38\) | 5.85410 | 0.949661 | ||||||||
\(39\) | 1.85410 | 0.296894 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −3.00000 | −0.468521 | −0.234261 | − | 0.972174i | \(-0.575267\pi\) | ||||
−0.234261 | + | 0.972174i | \(0.575267\pi\) | |||||||
\(42\) | −1.85410 | −0.286094 | ||||||||
\(43\) | −9.00000 | −1.37249 | −0.686244 | − | 0.727372i | \(-0.740742\pi\) | ||||
−0.686244 | + | 0.727372i | \(0.740742\pi\) | |||||||
\(44\) | −1.85410 | −0.279516 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.00000 | 0.294884 | ||||||||
\(47\) | −8.32624 | −1.21451 | −0.607253 | − | 0.794508i | \(-0.707729\pi\) | ||||
−0.607253 | + | 0.794508i | \(0.707729\pi\) | |||||||
\(48\) | 1.85410 | 0.267617 | ||||||||
\(49\) | 2.00000 | 0.285714 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −1.61803 | −0.226570 | ||||||||
\(52\) | −3.00000 | −0.416025 | ||||||||
\(53\) | 4.61803 | 0.634336 | 0.317168 | − | 0.948369i | \(-0.397268\pi\) | ||||
0.317168 | + | 0.948369i | \(0.397268\pi\) | |||||||
\(54\) | −3.61803 | −0.492352 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −6.70820 | −0.896421 | ||||||||
\(57\) | 1.38197 | 0.183046 | ||||||||
\(58\) | −10.8541 | −1.42521 | ||||||||
\(59\) | 4.14590 | 0.539750 | 0.269875 | − | 0.962895i | \(-0.413018\pi\) | ||||
0.269875 | + | 0.962895i | \(0.413018\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −6.09017 | −0.779766 | −0.389883 | − | 0.920864i | \(-0.627485\pi\) | ||||
−0.389883 | + | 0.920864i | \(0.627485\pi\) | |||||||
\(62\) | −8.23607 | −1.04598 | ||||||||
\(63\) | 8.56231 | 1.07875 | ||||||||
\(64\) | 4.23607 | 0.529508 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −1.85410 | −0.228224 | ||||||||
\(67\) | −13.8541 | −1.69255 | −0.846274 | − | 0.532748i | \(-0.821159\pi\) | ||||
−0.846274 | + | 0.532748i | \(0.821159\pi\) | |||||||
\(68\) | 2.61803 | 0.317483 | ||||||||
\(69\) | 0.472136 | 0.0568385 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −3.00000 | −0.356034 | −0.178017 | − | 0.984027i | \(-0.556968\pi\) | ||||
−0.178017 | + | 0.984027i | \(0.556968\pi\) | |||||||
\(72\) | −6.38197 | −0.752122 | ||||||||
\(73\) | 1.85410 | 0.217006 | 0.108503 | − | 0.994096i | \(-0.465394\pi\) | ||||
0.108503 | + | 0.994096i | \(0.465394\pi\) | |||||||
\(74\) | −6.00000 | −0.697486 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −2.23607 | −0.256495 | ||||||||
\(77\) | 9.00000 | 1.02565 | ||||||||
\(78\) | −3.00000 | −0.339683 | ||||||||
\(79\) | 0.527864 | 0.0593893 | 0.0296947 | − | 0.999559i | \(-0.490547\pi\) | ||||
0.0296947 | + | 0.999559i | \(0.490547\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 7.70820 | 0.856467 | ||||||||
\(82\) | 4.85410 | 0.536046 | ||||||||
\(83\) | 0.472136 | 0.0518237 | 0.0259118 | − | 0.999664i | \(-0.491751\pi\) | ||||
0.0259118 | + | 0.999664i | \(0.491751\pi\) | |||||||
\(84\) | 0.708204 | 0.0772714 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 14.5623 | 1.57029 | ||||||||
\(87\) | −2.56231 | −0.274708 | ||||||||
\(88\) | −6.70820 | −0.715097 | ||||||||
\(89\) | −13.4164 | −1.42214 | −0.711068 | − | 0.703123i | \(-0.751788\pi\) | ||||
−0.711068 | + | 0.703123i | \(0.751788\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 14.5623 | 1.52654 | ||||||||
\(92\) | −0.763932 | −0.0796454 | ||||||||
\(93\) | −1.94427 | −0.201612 | ||||||||
\(94\) | 13.4721 | 1.38954 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −1.29180 | −0.131843 | ||||||||
\(97\) | 7.85410 | 0.797463 | 0.398732 | − | 0.917068i | \(-0.369451\pi\) | ||||
0.398732 | + | 0.917068i | \(0.369451\pi\) | |||||||
\(98\) | −3.23607 | −0.326892 | ||||||||
\(99\) | 8.56231 | 0.860544 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −3.00000 | −0.298511 | −0.149256 | − | 0.988799i | \(-0.547688\pi\) | ||||
−0.149256 | + | 0.988799i | \(0.547688\pi\) | |||||||
\(102\) | 2.61803 | 0.259224 | ||||||||
\(103\) | 12.7082 | 1.25218 | 0.626088 | − | 0.779752i | \(-0.284655\pi\) | ||||
0.626088 | + | 0.779752i | \(0.284655\pi\) | |||||||
\(104\) | −10.8541 | −1.06433 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −7.47214 | −0.725758 | ||||||||
\(107\) | 0.0901699 | 0.00871706 | 0.00435853 | − | 0.999991i | \(-0.498613\pi\) | ||||
0.00435853 | + | 0.999991i | \(0.498613\pi\) | |||||||
\(108\) | 1.38197 | 0.132980 | ||||||||
\(109\) | 5.32624 | 0.510161 | 0.255081 | − | 0.966920i | \(-0.417898\pi\) | ||||
0.255081 | + | 0.966920i | \(0.417898\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.41641 | −0.134439 | ||||||||
\(112\) | 14.5623 | 1.37601 | ||||||||
\(113\) | 2.05573 | 0.193387 | 0.0966933 | − | 0.995314i | \(-0.469173\pi\) | ||||
0.0966933 | + | 0.995314i | \(0.469173\pi\) | |||||||
\(114\) | −2.23607 | −0.209427 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 4.14590 | 0.384937 | ||||||||
\(117\) | 13.8541 | 1.28081 | ||||||||
\(118\) | −6.70820 | −0.617540 | ||||||||
\(119\) | −12.7082 | −1.16496 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.00000 | −0.181818 | ||||||||
\(122\) | 9.85410 | 0.892148 | ||||||||
\(123\) | 1.14590 | 0.103322 | ||||||||
\(124\) | 3.14590 | 0.282510 | ||||||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −13.8541 | −1.23422 | ||||||||
\(127\) | −9.70820 | −0.861464 | −0.430732 | − | 0.902480i | \(-0.641745\pi\) | ||||
−0.430732 | + | 0.902480i | \(0.641745\pi\) | |||||||
\(128\) | −13.6180 | −1.20368 | ||||||||
\(129\) | 3.43769 | 0.302672 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −12.2705 | −1.07208 | −0.536040 | − | 0.844193i | \(-0.680080\pi\) | ||||
−0.536040 | + | 0.844193i | \(0.680080\pi\) | |||||||
\(132\) | 0.708204 | 0.0616412 | ||||||||
\(133\) | 10.8541 | 0.941170 | ||||||||
\(134\) | 22.4164 | 1.93648 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 9.47214 | 0.812229 | ||||||||
\(137\) | 5.61803 | 0.479981 | 0.239991 | − | 0.970775i | \(-0.422856\pi\) | ||||
0.239991 | + | 0.970775i | \(0.422856\pi\) | |||||||
\(138\) | −0.763932 | −0.0650302 | ||||||||
\(139\) | −12.2361 | −1.03785 | −0.518925 | − | 0.854820i | \(-0.673668\pi\) | ||||
−0.518925 | + | 0.854820i | \(0.673668\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 3.18034 | 0.267833 | ||||||||
\(142\) | 4.85410 | 0.407347 | ||||||||
\(143\) | 14.5623 | 1.21776 | ||||||||
\(144\) | 13.8541 | 1.15451 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −3.00000 | −0.248282 | ||||||||
\(147\) | −0.763932 | −0.0630081 | ||||||||
\(148\) | 2.29180 | 0.188384 | ||||||||
\(149\) | −15.0000 | −1.22885 | −0.614424 | − | 0.788976i | \(-0.710612\pi\) | ||||
−0.614424 | + | 0.788976i | \(0.710612\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −21.0902 | −1.71629 | −0.858147 | − | 0.513404i | \(-0.828384\pi\) | ||||
−0.858147 | + | 0.513404i | \(0.828384\pi\) | |||||||
\(152\) | −8.09017 | −0.656199 | ||||||||
\(153\) | −12.0902 | −0.977432 | ||||||||
\(154\) | −14.5623 | −1.17346 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 1.14590 | 0.0917453 | ||||||||
\(157\) | −12.2705 | −0.979293 | −0.489647 | − | 0.871921i | \(-0.662874\pi\) | ||||
−0.489647 | + | 0.871921i | \(0.662874\pi\) | |||||||
\(158\) | −0.854102 | −0.0679487 | ||||||||
\(159\) | −1.76393 | −0.139889 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 3.70820 | 0.292247 | ||||||||
\(162\) | −12.4721 | −0.979904 | ||||||||
\(163\) | −19.8541 | −1.55509 | −0.777547 | − | 0.628825i | \(-0.783536\pi\) | ||||
−0.777547 | + | 0.628825i | \(0.783536\pi\) | |||||||
\(164\) | −1.85410 | −0.144781 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.763932 | −0.0592926 | ||||||||
\(167\) | 9.23607 | 0.714708 | 0.357354 | − | 0.933969i | \(-0.383679\pi\) | ||||
0.357354 | + | 0.933969i | \(0.383679\pi\) | |||||||
\(168\) | 2.56231 | 0.197686 | ||||||||
\(169\) | 10.5623 | 0.812485 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 10.3262 | 0.789667 | ||||||||
\(172\) | −5.56231 | −0.424122 | ||||||||
\(173\) | −0.0557281 | −0.00423693 | −0.00211846 | − | 0.999998i | \(-0.500674\pi\) | ||||
−0.00211846 | + | 0.999998i | \(0.500674\pi\) | |||||||
\(174\) | 4.14590 | 0.314300 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 14.5623 | 1.09768 | ||||||||
\(177\) | −1.58359 | −0.119030 | ||||||||
\(178\) | 21.7082 | 1.62710 | ||||||||
\(179\) | 6.70820 | 0.501395 | 0.250697 | − | 0.968066i | \(-0.419340\pi\) | ||||
0.250697 | + | 0.968066i | \(0.419340\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 18.1803 | 1.35133 | 0.675667 | − | 0.737207i | \(-0.263856\pi\) | ||||
0.675667 | + | 0.737207i | \(0.263856\pi\) | |||||||
\(182\) | −23.5623 | −1.74655 | ||||||||
\(183\) | 2.32624 | 0.171960 | ||||||||
\(184\) | −2.76393 | −0.203760 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 3.14590 | 0.230668 | ||||||||
\(187\) | −12.7082 | −0.929316 | ||||||||
\(188\) | −5.14590 | −0.375303 | ||||||||
\(189\) | −6.70820 | −0.487950 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 12.0000 | 0.868290 | 0.434145 | − | 0.900843i | \(-0.357051\pi\) | ||||
0.434145 | + | 0.900843i | \(0.357051\pi\) | |||||||
\(192\) | −1.61803 | −0.116772 | ||||||||
\(193\) | 15.2705 | 1.09920 | 0.549598 | − | 0.835429i | \(-0.314781\pi\) | ||||
0.549598 | + | 0.835429i | \(0.314781\pi\) | |||||||
\(194\) | −12.7082 | −0.912396 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.23607 | 0.0882906 | ||||||||
\(197\) | −4.05573 | −0.288959 | −0.144479 | − | 0.989508i | \(-0.546151\pi\) | ||||
−0.144479 | + | 0.989508i | \(0.546151\pi\) | |||||||
\(198\) | −13.8541 | −0.984568 | ||||||||
\(199\) | 16.1803 | 1.14699 | 0.573497 | − | 0.819208i | \(-0.305586\pi\) | ||||
0.573497 | + | 0.819208i | \(0.305586\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 5.29180 | 0.373255 | ||||||||
\(202\) | 4.85410 | 0.341533 | ||||||||
\(203\) | −20.1246 | −1.41247 | ||||||||
\(204\) | −1.00000 | −0.0700140 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −20.5623 | −1.43264 | ||||||||
\(207\) | 3.52786 | 0.245204 | ||||||||
\(208\) | 23.5623 | 1.63375 | ||||||||
\(209\) | 10.8541 | 0.750794 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.18034 | −0.287786 | −0.143893 | − | 0.989593i | \(-0.545962\pi\) | ||||
−0.143893 | + | 0.989593i | \(0.545962\pi\) | |||||||
\(212\) | 2.85410 | 0.196021 | ||||||||
\(213\) | 1.14590 | 0.0785156 | ||||||||
\(214\) | −0.145898 | −0.00997338 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 5.00000 | 0.340207 | ||||||||
\(217\) | −15.2705 | −1.03663 | ||||||||
\(218\) | −8.61803 | −0.583687 | ||||||||
\(219\) | −0.708204 | −0.0478560 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −20.5623 | −1.38317 | ||||||||
\(222\) | 2.29180 | 0.153815 | ||||||||
\(223\) | 1.85410 | 0.124160 | 0.0620799 | − | 0.998071i | \(-0.480227\pi\) | ||||
0.0620799 | + | 0.998071i | \(0.480227\pi\) | |||||||
\(224\) | −10.1459 | −0.677901 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −3.32624 | −0.221258 | ||||||||
\(227\) | −6.61803 | −0.439254 | −0.219627 | − | 0.975584i | \(-0.570484\pi\) | ||||
−0.219627 | + | 0.975584i | \(0.570484\pi\) | |||||||
\(228\) | 0.854102 | 0.0565643 | ||||||||
\(229\) | −1.38197 | −0.0913229 | −0.0456614 | − | 0.998957i | \(-0.514540\pi\) | ||||
−0.0456614 | + | 0.998957i | \(0.514540\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −3.43769 | −0.226184 | ||||||||
\(232\) | 15.0000 | 0.984798 | ||||||||
\(233\) | −26.8885 | −1.76153 | −0.880764 | − | 0.473556i | \(-0.842970\pi\) | ||||
−0.880764 | + | 0.473556i | \(0.842970\pi\) | |||||||
\(234\) | −22.4164 | −1.46541 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 2.56231 | 0.166792 | ||||||||
\(237\) | −0.201626 | −0.0130970 | ||||||||
\(238\) | 20.5623 | 1.33286 | ||||||||
\(239\) | 25.8541 | 1.67236 | 0.836181 | − | 0.548453i | \(-0.184783\pi\) | ||||
0.836181 | + | 0.548453i | \(0.184783\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −19.1803 | −1.23551 | −0.617757 | − | 0.786369i | \(-0.711959\pi\) | ||||
−0.617757 | + | 0.786369i | \(0.711959\pi\) | |||||||
\(242\) | 3.23607 | 0.208022 | ||||||||
\(243\) | −9.65248 | −0.619207 | ||||||||
\(244\) | −3.76393 | −0.240961 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −1.85410 | −0.118213 | ||||||||
\(247\) | 17.5623 | 1.11746 | ||||||||
\(248\) | 11.3820 | 0.722756 | ||||||||
\(249\) | −0.180340 | −0.0114286 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 6.27051 | 0.395791 | 0.197896 | − | 0.980223i | \(-0.436589\pi\) | ||||
0.197896 | + | 0.980223i | \(0.436589\pi\) | |||||||
\(252\) | 5.29180 | 0.333352 | ||||||||
\(253\) | 3.70820 | 0.233133 | ||||||||
\(254\) | 15.7082 | 0.985620 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 13.5623 | 0.847644 | ||||||||
\(257\) | 29.3607 | 1.83147 | 0.915734 | − | 0.401784i | \(-0.131610\pi\) | ||||
0.915734 | + | 0.401784i | \(0.131610\pi\) | |||||||
\(258\) | −5.56231 | −0.346294 | ||||||||
\(259\) | −11.1246 | −0.691250 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −19.1459 | −1.18510 | ||||||||
\(262\) | 19.8541 | 1.22659 | ||||||||
\(263\) | 16.3262 | 1.00672 | 0.503359 | − | 0.864077i | \(-0.332097\pi\) | ||||
0.503359 | + | 0.864077i | \(0.332097\pi\) | |||||||
\(264\) | 2.56231 | 0.157699 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −17.5623 | −1.07681 | ||||||||
\(267\) | 5.12461 | 0.313621 | ||||||||
\(268\) | −8.56231 | −0.523026 | ||||||||
\(269\) | 2.56231 | 0.156227 | 0.0781133 | − | 0.996944i | \(-0.475110\pi\) | ||||
0.0781133 | + | 0.996944i | \(0.475110\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 20.0902 | 1.22039 | 0.610195 | − | 0.792251i | \(-0.291091\pi\) | ||||
0.610195 | + | 0.792251i | \(0.291091\pi\) | |||||||
\(272\) | −20.5623 | −1.24677 | ||||||||
\(273\) | −5.56231 | −0.336646 | ||||||||
\(274\) | −9.09017 | −0.549157 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0.291796 | 0.0175641 | ||||||||
\(277\) | 5.29180 | 0.317953 | 0.158977 | − | 0.987282i | \(-0.449181\pi\) | ||||
0.158977 | + | 0.987282i | \(0.449181\pi\) | |||||||
\(278\) | 19.7984 | 1.18743 | ||||||||
\(279\) | −14.5279 | −0.869760 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 12.0000 | 0.715860 | 0.357930 | − | 0.933748i | \(-0.383483\pi\) | ||||
0.357930 | + | 0.933748i | \(0.383483\pi\) | |||||||
\(282\) | −5.14590 | −0.306434 | ||||||||
\(283\) | −15.7082 | −0.933756 | −0.466878 | − | 0.884322i | \(-0.654621\pi\) | ||||
−0.466878 | + | 0.884322i | \(0.654621\pi\) | |||||||
\(284\) | −1.85410 | −0.110021 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −23.5623 | −1.39327 | ||||||||
\(287\) | 9.00000 | 0.531253 | ||||||||
\(288\) | −9.65248 | −0.568778 | ||||||||
\(289\) | 0.944272 | 0.0555454 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −3.00000 | −0.175863 | ||||||||
\(292\) | 1.14590 | 0.0670586 | ||||||||
\(293\) | −21.3607 | −1.24790 | −0.623952 | − | 0.781463i | \(-0.714474\pi\) | ||||
−0.623952 | + | 0.781463i | \(0.714474\pi\) | |||||||
\(294\) | 1.23607 | 0.0720889 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 8.29180 | 0.481951 | ||||||||
\(297\) | −6.70820 | −0.389249 | ||||||||
\(298\) | 24.2705 | 1.40595 | ||||||||
\(299\) | 6.00000 | 0.346989 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 27.0000 | 1.55625 | ||||||||
\(302\) | 34.1246 | 1.96365 | ||||||||
\(303\) | 1.14590 | 0.0658301 | ||||||||
\(304\) | 17.5623 | 1.00727 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 19.5623 | 1.11830 | ||||||||
\(307\) | 6.27051 | 0.357877 | 0.178938 | − | 0.983860i | \(-0.442734\pi\) | ||||
0.178938 | + | 0.983860i | \(0.442734\pi\) | |||||||
\(308\) | 5.56231 | 0.316942 | ||||||||
\(309\) | −4.85410 | −0.276140 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 21.2705 | 1.20614 | 0.603070 | − | 0.797688i | \(-0.293944\pi\) | ||||
0.603070 | + | 0.797688i | \(0.293944\pi\) | |||||||
\(312\) | 4.14590 | 0.234715 | ||||||||
\(313\) | 19.4164 | 1.09748 | 0.548740 | − | 0.835993i | \(-0.315108\pi\) | ||||
0.548740 | + | 0.835993i | \(0.315108\pi\) | |||||||
\(314\) | 19.8541 | 1.12043 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.326238 | 0.0183523 | ||||||||
\(317\) | −26.9443 | −1.51334 | −0.756671 | − | 0.653796i | \(-0.773175\pi\) | ||||
−0.756671 | + | 0.653796i | \(0.773175\pi\) | |||||||
\(318\) | 2.85410 | 0.160050 | ||||||||
\(319\) | −20.1246 | −1.12676 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −0.0344419 | −0.00192236 | ||||||||
\(322\) | −6.00000 | −0.334367 | ||||||||
\(323\) | −15.3262 | −0.852775 | ||||||||
\(324\) | 4.76393 | 0.264663 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 32.1246 | 1.77922 | ||||||||
\(327\) | −2.03444 | −0.112505 | ||||||||
\(328\) | −6.70820 | −0.370399 | ||||||||
\(329\) | 24.9787 | 1.37712 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −21.0902 | −1.15922 | −0.579610 | − | 0.814894i | \(-0.696795\pi\) | ||||
−0.579610 | + | 0.814894i | \(0.696795\pi\) | |||||||
\(332\) | 0.291796 | 0.0160144 | ||||||||
\(333\) | −10.5836 | −0.579977 | ||||||||
\(334\) | −14.9443 | −0.817714 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −5.56231 | −0.303449 | ||||||||
\(337\) | −29.8328 | −1.62510 | −0.812549 | − | 0.582894i | \(-0.801920\pi\) | ||||
−0.812549 | + | 0.582894i | \(0.801920\pi\) | |||||||
\(338\) | −17.0902 | −0.929583 | ||||||||
\(339\) | −0.785218 | −0.0426472 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −15.2705 | −0.826944 | ||||||||
\(342\) | −16.7082 | −0.903476 | ||||||||
\(343\) | 15.0000 | 0.809924 | ||||||||
\(344\) | −20.1246 | −1.08505 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.0901699 | 0.00484757 | ||||||||
\(347\) | 15.9443 | 0.855933 | 0.427967 | − | 0.903795i | \(-0.359230\pi\) | ||||
0.427967 | + | 0.903795i | \(0.359230\pi\) | |||||||
\(348\) | −1.58359 | −0.0848894 | ||||||||
\(349\) | −17.3607 | −0.929296 | −0.464648 | − | 0.885496i | \(-0.653819\pi\) | ||||
−0.464648 | + | 0.885496i | \(0.653819\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −10.8541 | −0.579349 | ||||||||
\(352\) | −10.1459 | −0.540778 | ||||||||
\(353\) | 3.88854 | 0.206966 | 0.103483 | − | 0.994631i | \(-0.467001\pi\) | ||||
0.103483 | + | 0.994631i | \(0.467001\pi\) | |||||||
\(354\) | 2.56231 | 0.136185 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −8.29180 | −0.439464 | ||||||||
\(357\) | 4.85410 | 0.256906 | ||||||||
\(358\) | −10.8541 | −0.573657 | ||||||||
\(359\) | −10.8541 | −0.572858 | −0.286429 | − | 0.958102i | \(-0.592468\pi\) | ||||
−0.286429 | + | 0.958102i | \(0.592468\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −5.90983 | −0.311044 | ||||||||
\(362\) | −29.4164 | −1.54609 | ||||||||
\(363\) | 0.763932 | 0.0400960 | ||||||||
\(364\) | 9.00000 | 0.471728 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −3.76393 | −0.196744 | ||||||||
\(367\) | 1.14590 | 0.0598154 | 0.0299077 | − | 0.999553i | \(-0.490479\pi\) | ||||
0.0299077 | + | 0.999553i | \(0.490479\pi\) | |||||||
\(368\) | 6.00000 | 0.312772 | ||||||||
\(369\) | 8.56231 | 0.445736 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −13.8541 | −0.719269 | ||||||||
\(372\) | −1.20163 | −0.0623014 | ||||||||
\(373\) | 1.85410 | 0.0960018 | 0.0480009 | − | 0.998847i | \(-0.484715\pi\) | ||||
0.0480009 | + | 0.998847i | \(0.484715\pi\) | |||||||
\(374\) | 20.5623 | 1.06325 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −18.6180 | −0.960152 | ||||||||
\(377\) | −32.5623 | −1.67704 | ||||||||
\(378\) | 10.8541 | 0.558275 | ||||||||
\(379\) | −7.56231 | −0.388450 | −0.194225 | − | 0.980957i | \(-0.562219\pi\) | ||||
−0.194225 | + | 0.980957i | \(0.562219\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 3.70820 | 0.189977 | ||||||||
\(382\) | −19.4164 | −0.993430 | ||||||||
\(383\) | 35.4721 | 1.81254 | 0.906271 | − | 0.422698i | \(-0.138917\pi\) | ||||
0.906271 | + | 0.422698i | \(0.138917\pi\) | |||||||
\(384\) | 5.20163 | 0.265444 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −24.7082 | −1.25761 | ||||||||
\(387\) | 25.6869 | 1.30574 | ||||||||
\(388\) | 4.85410 | 0.246430 | ||||||||
\(389\) | 1.58359 | 0.0802913 | 0.0401457 | − | 0.999194i | \(-0.487218\pi\) | ||||
0.0401457 | + | 0.999194i | \(0.487218\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −5.23607 | −0.264799 | ||||||||
\(392\) | 4.47214 | 0.225877 | ||||||||
\(393\) | 4.68692 | 0.236424 | ||||||||
\(394\) | 6.56231 | 0.330604 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 5.29180 | 0.265923 | ||||||||
\(397\) | −16.4164 | −0.823916 | −0.411958 | − | 0.911203i | \(-0.635155\pi\) | ||||
−0.411958 | + | 0.911203i | \(0.635155\pi\) | |||||||
\(398\) | −26.1803 | −1.31230 | ||||||||
\(399\) | −4.14590 | −0.207555 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 12.0000 | 0.599251 | 0.299626 | − | 0.954057i | \(-0.403138\pi\) | ||||
0.299626 | + | 0.954057i | \(0.403138\pi\) | |||||||
\(402\) | −8.56231 | −0.427049 | ||||||||
\(403\) | −24.7082 | −1.23080 | ||||||||
\(404\) | −1.85410 | −0.0922450 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 32.5623 | 1.61604 | ||||||||
\(407\) | −11.1246 | −0.551427 | ||||||||
\(408\) | −3.61803 | −0.179119 | ||||||||
\(409\) | −22.7639 | −1.12560 | −0.562802 | − | 0.826592i | \(-0.690277\pi\) | ||||
−0.562802 | + | 0.826592i | \(0.690277\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −2.14590 | −0.105849 | ||||||||
\(412\) | 7.85410 | 0.386944 | ||||||||
\(413\) | −12.4377 | −0.612019 | ||||||||
\(414\) | −5.70820 | −0.280543 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −16.4164 | −0.804881 | ||||||||
\(417\) | 4.67376 | 0.228875 | ||||||||
\(418\) | −17.5623 | −0.859000 | ||||||||
\(419\) | −6.70820 | −0.327717 | −0.163859 | − | 0.986484i | \(-0.552394\pi\) | ||||
−0.163859 | + | 0.986484i | \(0.552394\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 8.90983 | 0.434239 | 0.217119 | − | 0.976145i | \(-0.430334\pi\) | ||||
0.217119 | + | 0.976145i | \(0.430334\pi\) | |||||||
\(422\) | 6.76393 | 0.329263 | ||||||||
\(423\) | 23.7639 | 1.15544 | ||||||||
\(424\) | 10.3262 | 0.501486 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −1.85410 | −0.0898315 | ||||||||
\(427\) | 18.2705 | 0.884172 | ||||||||
\(428\) | 0.0557281 | 0.00269372 | ||||||||
\(429\) | −5.56231 | −0.268551 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −12.2705 | −0.591050 | −0.295525 | − | 0.955335i | \(-0.595495\pi\) | ||||
−0.295525 | + | 0.955335i | \(0.595495\pi\) | |||||||
\(432\) | −10.8541 | −0.522218 | ||||||||
\(433\) | 14.2918 | 0.686820 | 0.343410 | − | 0.939186i | \(-0.388418\pi\) | ||||
0.343410 | + | 0.939186i | \(0.388418\pi\) | |||||||
\(434\) | 24.7082 | 1.18603 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 3.29180 | 0.157648 | ||||||||
\(437\) | 4.47214 | 0.213931 | ||||||||
\(438\) | 1.14590 | 0.0547531 | ||||||||
\(439\) | 30.1246 | 1.43777 | 0.718885 | − | 0.695129i | \(-0.244653\pi\) | ||||
0.718885 | + | 0.695129i | \(0.244653\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −5.70820 | −0.271819 | ||||||||
\(442\) | 33.2705 | 1.58252 | ||||||||
\(443\) | 7.18034 | 0.341148 | 0.170574 | − | 0.985345i | \(-0.445438\pi\) | ||||
0.170574 | + | 0.985345i | \(0.445438\pi\) | |||||||
\(444\) | −0.875388 | −0.0415441 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −3.00000 | −0.142054 | ||||||||
\(447\) | 5.72949 | 0.270996 | ||||||||
\(448\) | −12.7082 | −0.600406 | ||||||||
\(449\) | −39.2705 | −1.85329 | −0.926645 | − | 0.375938i | \(-0.877321\pi\) | ||||
−0.926645 | + | 0.375938i | \(0.877321\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 9.00000 | 0.423793 | ||||||||
\(452\) | 1.27051 | 0.0597598 | ||||||||
\(453\) | 8.05573 | 0.378491 | ||||||||
\(454\) | 10.7082 | 0.502561 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 3.09017 | 0.144710 | ||||||||
\(457\) | −18.0000 | −0.842004 | −0.421002 | − | 0.907060i | \(-0.638322\pi\) | ||||
−0.421002 | + | 0.907060i | \(0.638322\pi\) | |||||||
\(458\) | 2.23607 | 0.104485 | ||||||||
\(459\) | 9.47214 | 0.442121 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 36.2705 | 1.68929 | 0.844643 | − | 0.535330i | \(-0.179813\pi\) | ||||
0.844643 | + | 0.535330i | \(0.179813\pi\) | |||||||
\(462\) | 5.56231 | 0.258782 | ||||||||
\(463\) | −14.1246 | −0.656426 | −0.328213 | − | 0.944604i | \(-0.606446\pi\) | ||||
−0.328213 | + | 0.944604i | \(0.606446\pi\) | |||||||
\(464\) | −32.5623 | −1.51167 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 43.5066 | 2.01540 | ||||||||
\(467\) | 39.2361 | 1.81563 | 0.907814 | − | 0.419372i | \(-0.137750\pi\) | ||||
0.907814 | + | 0.419372i | \(0.137750\pi\) | |||||||
\(468\) | 8.56231 | 0.395793 | ||||||||
\(469\) | 41.5623 | 1.91917 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 4.68692 | 0.215962 | ||||||||
\(472\) | 9.27051 | 0.426710 | ||||||||
\(473\) | 27.0000 | 1.24146 | ||||||||
\(474\) | 0.326238 | 0.0149846 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −7.85410 | −0.359992 | ||||||||
\(477\) | −13.1803 | −0.603486 | ||||||||
\(478\) | −41.8328 | −1.91339 | ||||||||
\(479\) | −32.5623 | −1.48781 | −0.743905 | − | 0.668286i | \(-0.767028\pi\) | ||||
−0.743905 | + | 0.668286i | \(0.767028\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −18.0000 | −0.820729 | ||||||||
\(482\) | 31.0344 | 1.41358 | ||||||||
\(483\) | −1.41641 | −0.0644488 | ||||||||
\(484\) | −1.23607 | −0.0561849 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 15.6180 | 0.708448 | ||||||||
\(487\) | 3.70820 | 0.168035 | 0.0840174 | − | 0.996464i | \(-0.473225\pi\) | ||||
0.0840174 | + | 0.996464i | \(0.473225\pi\) | |||||||
\(488\) | −13.6180 | −0.616459 | ||||||||
\(489\) | 7.58359 | 0.342942 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 36.2705 | 1.63687 | 0.818433 | − | 0.574603i | \(-0.194843\pi\) | ||||
0.818433 | + | 0.574603i | \(0.194843\pi\) | |||||||
\(492\) | 0.708204 | 0.0319283 | ||||||||
\(493\) | 28.4164 | 1.27981 | ||||||||
\(494\) | −28.4164 | −1.27851 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −24.7082 | −1.10943 | ||||||||
\(497\) | 9.00000 | 0.403705 | ||||||||
\(498\) | 0.291796 | 0.0130757 | ||||||||
\(499\) | 42.3607 | 1.89632 | 0.948162 | − | 0.317787i | \(-0.102940\pi\) | ||||
0.948162 | + | 0.317787i | \(0.102940\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −3.52786 | −0.157613 | ||||||||
\(502\) | −10.1459 | −0.452834 | ||||||||
\(503\) | 25.7984 | 1.15029 | 0.575146 | − | 0.818051i | \(-0.304945\pi\) | ||||
0.575146 | + | 0.818051i | \(0.304945\pi\) | |||||||
\(504\) | 19.1459 | 0.852826 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −6.00000 | −0.266733 | ||||||||
\(507\) | −4.03444 | −0.179176 | ||||||||
\(508\) | −6.00000 | −0.266207 | ||||||||
\(509\) | 13.4164 | 0.594672 | 0.297336 | − | 0.954773i | \(-0.403902\pi\) | ||||
0.297336 | + | 0.954773i | \(0.403902\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5.56231 | −0.246062 | ||||||||
\(512\) | 5.29180 | 0.233867 | ||||||||
\(513\) | −8.09017 | −0.357190 | ||||||||
\(514\) | −47.5066 | −2.09543 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 2.12461 | 0.0935308 | ||||||||
\(517\) | 24.9787 | 1.09856 | ||||||||
\(518\) | 18.0000 | 0.790875 | ||||||||
\(519\) | 0.0212862 | 0.000934362 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 6.27051 | 0.274716 | 0.137358 | − | 0.990521i | \(-0.456139\pi\) | ||||
0.137358 | + | 0.990521i | \(0.456139\pi\) | |||||||
\(522\) | 30.9787 | 1.35590 | ||||||||
\(523\) | −37.4164 | −1.63611 | −0.818053 | − | 0.575143i | \(-0.804946\pi\) | ||||
−0.818053 | + | 0.575143i | \(0.804946\pi\) | |||||||
\(524\) | −7.58359 | −0.331291 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −26.4164 | −1.15181 | ||||||||
\(527\) | 21.5623 | 0.939269 | ||||||||
\(528\) | −5.56231 | −0.242068 | ||||||||
\(529\) | −21.4721 | −0.933571 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −11.8328 | −0.513500 | ||||||||
\(532\) | 6.70820 | 0.290838 | ||||||||
\(533\) | 14.5623 | 0.630763 | ||||||||
\(534\) | −8.29180 | −0.358821 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −30.9787 | −1.33808 | ||||||||
\(537\) | −2.56231 | −0.110572 | ||||||||
\(538\) | −4.14590 | −0.178742 | ||||||||
\(539\) | −6.00000 | −0.258438 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −34.1803 | −1.46953 | −0.734764 | − | 0.678323i | \(-0.762707\pi\) | ||||
−0.734764 | + | 0.678323i | \(0.762707\pi\) | |||||||
\(542\) | −32.5066 | −1.39628 | ||||||||
\(543\) | −6.94427 | −0.298007 | ||||||||
\(544\) | 14.3262 | 0.614232 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 9.00000 | 0.385164 | ||||||||
\(547\) | −22.1459 | −0.946890 | −0.473445 | − | 0.880823i | \(-0.656990\pi\) | ||||
−0.473445 | + | 0.880823i | \(0.656990\pi\) | |||||||
\(548\) | 3.47214 | 0.148322 | ||||||||
\(549\) | 17.3820 | 0.741844 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −24.2705 | −1.03396 | ||||||||
\(552\) | 1.05573 | 0.0449348 | ||||||||
\(553\) | −1.58359 | −0.0673412 | ||||||||
\(554\) | −8.56231 | −0.363778 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −7.56231 | −0.320713 | ||||||||
\(557\) | −40.3607 | −1.71014 | −0.855068 | − | 0.518515i | \(-0.826485\pi\) | ||||
−0.855068 | + | 0.518515i | \(0.826485\pi\) | |||||||
\(558\) | 23.5066 | 0.995113 | ||||||||
\(559\) | 43.6869 | 1.84776 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 4.85410 | 0.204940 | ||||||||
\(562\) | −19.4164 | −0.819032 | ||||||||
\(563\) | 7.05573 | 0.297363 | 0.148682 | − | 0.988885i | \(-0.452497\pi\) | ||||
0.148682 | + | 0.988885i | \(0.452497\pi\) | |||||||
\(564\) | 1.96556 | 0.0827649 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 25.4164 | 1.06833 | ||||||||
\(567\) | −23.1246 | −0.971142 | ||||||||
\(568\) | −6.70820 | −0.281470 | ||||||||
\(569\) | 26.8328 | 1.12489 | 0.562445 | − | 0.826835i | \(-0.309861\pi\) | ||||
0.562445 | + | 0.826835i | \(0.309861\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −13.0000 | −0.544033 | −0.272017 | − | 0.962293i | \(-0.587691\pi\) | ||||
−0.272017 | + | 0.962293i | \(0.587691\pi\) | |||||||
\(572\) | 9.00000 | 0.376309 | ||||||||
\(573\) | −4.58359 | −0.191482 | ||||||||
\(574\) | −14.5623 | −0.607819 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −12.0902 | −0.503757 | ||||||||
\(577\) | 29.5623 | 1.23069 | 0.615347 | − | 0.788256i | \(-0.289016\pi\) | ||||
0.615347 | + | 0.788256i | \(0.289016\pi\) | |||||||
\(578\) | −1.52786 | −0.0635508 | ||||||||
\(579\) | −5.83282 | −0.242404 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −1.41641 | −0.0587625 | ||||||||
\(582\) | 4.85410 | 0.201209 | ||||||||
\(583\) | −13.8541 | −0.573778 | ||||||||
\(584\) | 4.14590 | 0.171558 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 34.5623 | 1.42776 | ||||||||
\(587\) | −2.47214 | −0.102036 | −0.0510180 | − | 0.998698i | \(-0.516247\pi\) | ||||
−0.0510180 | + | 0.998698i | \(0.516247\pi\) | |||||||
\(588\) | −0.472136 | −0.0194706 | ||||||||
\(589\) | −18.4164 | −0.758835 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 1.54915 | 0.0637235 | ||||||||
\(592\) | −18.0000 | −0.739795 | ||||||||
\(593\) | −41.3607 | −1.69848 | −0.849240 | − | 0.528007i | \(-0.822939\pi\) | ||||
−0.849240 | + | 0.528007i | \(0.822939\pi\) | |||||||
\(594\) | 10.8541 | 0.445349 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −9.27051 | −0.379735 | ||||||||
\(597\) | −6.18034 | −0.252944 | ||||||||
\(598\) | −9.70820 | −0.396998 | ||||||||
\(599\) | −24.2705 | −0.991666 | −0.495833 | − | 0.868418i | \(-0.665137\pi\) | ||||
−0.495833 | + | 0.868418i | \(0.665137\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −0.639320 | −0.0260784 | −0.0130392 | − | 0.999915i | \(-0.504151\pi\) | ||||
−0.0130392 | + | 0.999915i | \(0.504151\pi\) | |||||||
\(602\) | −43.6869 | −1.78055 | ||||||||
\(603\) | 39.5410 | 1.61023 | ||||||||
\(604\) | −13.0344 | −0.530364 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −1.85410 | −0.0753177 | ||||||||
\(607\) | 30.5410 | 1.23962 | 0.619811 | − | 0.784751i | \(-0.287209\pi\) | ||||
0.619811 | + | 0.784751i | \(0.287209\pi\) | |||||||
\(608\) | −12.2361 | −0.496238 | ||||||||
\(609\) | 7.68692 | 0.311490 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 40.4164 | 1.63507 | ||||||||
\(612\) | −7.47214 | −0.302043 | ||||||||
\(613\) | 4.41641 | 0.178377 | 0.0891885 | − | 0.996015i | \(-0.471573\pi\) | ||||
0.0891885 | + | 0.996015i | \(0.471573\pi\) | |||||||
\(614\) | −10.1459 | −0.409455 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 20.1246 | 0.810844 | ||||||||
\(617\) | −25.7639 | −1.03722 | −0.518608 | − | 0.855012i | \(-0.673550\pi\) | ||||
−0.518608 | + | 0.855012i | \(0.673550\pi\) | |||||||
\(618\) | 7.85410 | 0.315938 | ||||||||
\(619\) | −20.5279 | −0.825085 | −0.412542 | − | 0.910938i | \(-0.635359\pi\) | ||||
−0.412542 | + | 0.910938i | \(0.635359\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −2.76393 | −0.110913 | ||||||||
\(622\) | −34.4164 | −1.37997 | ||||||||
\(623\) | 40.2492 | 1.61255 | ||||||||
\(624\) | −9.00000 | −0.360288 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −31.4164 | −1.25565 | ||||||||
\(627\) | −4.14590 | −0.165571 | ||||||||
\(628\) | −7.58359 | −0.302618 | ||||||||
\(629\) | 15.7082 | 0.626327 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 2.00000 | 0.0796187 | 0.0398094 | − | 0.999207i | \(-0.487325\pi\) | ||||
0.0398094 | + | 0.999207i | \(0.487325\pi\) | |||||||
\(632\) | 1.18034 | 0.0469514 | ||||||||
\(633\) | 1.59675 | 0.0634650 | ||||||||
\(634\) | 43.5967 | 1.73145 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −1.09017 | −0.0432281 | ||||||||
\(637\) | −9.70820 | −0.384653 | ||||||||
\(638\) | 32.5623 | 1.28915 | ||||||||
\(639\) | 8.56231 | 0.338720 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −8.72949 | −0.344794 | −0.172397 | − | 0.985028i | \(-0.555151\pi\) | ||||
−0.172397 | + | 0.985028i | \(0.555151\pi\) | |||||||
\(642\) | 0.0557281 | 0.00219941 | ||||||||
\(643\) | −18.2705 | −0.720519 | −0.360259 | − | 0.932852i | \(-0.617312\pi\) | ||||
−0.360259 | + | 0.932852i | \(0.617312\pi\) | |||||||
\(644\) | 2.29180 | 0.0903094 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 24.7984 | 0.975679 | ||||||||
\(647\) | −20.2361 | −0.795562 | −0.397781 | − | 0.917480i | \(-0.630220\pi\) | ||||
−0.397781 | + | 0.917480i | \(0.630220\pi\) | |||||||
\(648\) | 17.2361 | 0.677097 | ||||||||
\(649\) | −12.4377 | −0.488222 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 5.83282 | 0.228606 | ||||||||
\(652\) | −12.2705 | −0.480550 | ||||||||
\(653\) | −4.65248 | −0.182065 | −0.0910327 | − | 0.995848i | \(-0.529017\pi\) | ||||
−0.0910327 | + | 0.995848i | \(0.529017\pi\) | |||||||
\(654\) | 3.29180 | 0.128719 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 14.5623 | 0.568563 | ||||||||
\(657\) | −5.29180 | −0.206453 | ||||||||
\(658\) | −40.4164 | −1.57560 | ||||||||
\(659\) | −25.8541 | −1.00713 | −0.503566 | − | 0.863957i | \(-0.667979\pi\) | ||||
−0.503566 | + | 0.863957i | \(0.667979\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 14.3607 | 0.558566 | 0.279283 | − | 0.960209i | \(-0.409903\pi\) | ||||
0.279283 | + | 0.960209i | \(0.409903\pi\) | |||||||
\(662\) | 34.1246 | 1.32629 | ||||||||
\(663\) | 7.85410 | 0.305028 | ||||||||
\(664\) | 1.05573 | 0.0409702 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 17.1246 | 0.663565 | ||||||||
\(667\) | −8.29180 | −0.321060 | ||||||||
\(668\) | 5.70820 | 0.220857 | ||||||||
\(669\) | −0.708204 | −0.0273807 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 18.2705 | 0.705325 | ||||||||
\(672\) | 3.87539 | 0.149496 | ||||||||
\(673\) | −31.6869 | −1.22144 | −0.610720 | − | 0.791846i | \(-0.709120\pi\) | ||||
−0.610720 | + | 0.791846i | \(0.709120\pi\) | |||||||
\(674\) | 48.2705 | 1.85931 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 6.52786 | 0.251072 | ||||||||
\(677\) | 4.11146 | 0.158016 | 0.0790080 | − | 0.996874i | \(-0.474825\pi\) | ||||
0.0790080 | + | 0.996874i | \(0.474825\pi\) | |||||||
\(678\) | 1.27051 | 0.0487936 | ||||||||
\(679\) | −23.5623 | −0.904238 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 2.52786 | 0.0968680 | ||||||||
\(682\) | 24.7082 | 0.946126 | ||||||||
\(683\) | −43.0689 | −1.64799 | −0.823993 | − | 0.566601i | \(-0.808258\pi\) | ||||
−0.823993 | + | 0.566601i | \(0.808258\pi\) | |||||||
\(684\) | 6.38197 | 0.244021 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −24.2705 | −0.926652 | ||||||||
\(687\) | 0.527864 | 0.0201393 | ||||||||
\(688\) | 43.6869 | 1.66555 | ||||||||
\(689\) | −22.4164 | −0.853997 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 25.8197 | 0.982226 | 0.491113 | − | 0.871096i | \(-0.336590\pi\) | ||||
0.491113 | + | 0.871096i | \(0.336590\pi\) | |||||||
\(692\) | −0.0344419 | −0.00130928 | ||||||||
\(693\) | −25.6869 | −0.975765 | ||||||||
\(694\) | −25.7984 | −0.979293 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −5.72949 | −0.217176 | ||||||||
\(697\) | −12.7082 | −0.481358 | ||||||||
\(698\) | 28.0902 | 1.06323 | ||||||||
\(699\) | 10.2705 | 0.388466 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 2.72949 | 0.103091 | 0.0515457 | − | 0.998671i | \(-0.483585\pi\) | ||||
0.0515457 | + | 0.998671i | \(0.483585\pi\) | |||||||
\(702\) | 17.5623 | 0.662847 | ||||||||
\(703\) | −13.4164 | −0.506009 | ||||||||
\(704\) | −12.7082 | −0.478958 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −6.29180 | −0.236795 | ||||||||
\(707\) | 9.00000 | 0.338480 | ||||||||
\(708\) | −0.978714 | −0.0367823 | ||||||||
\(709\) | −17.0344 | −0.639742 | −0.319871 | − | 0.947461i | \(-0.603640\pi\) | ||||
−0.319871 | + | 0.947461i | \(0.603640\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −1.50658 | −0.0565011 | ||||||||
\(712\) | −30.0000 | −1.12430 | ||||||||
\(713\) | −6.29180 | −0.235630 | ||||||||
\(714\) | −7.85410 | −0.293932 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 4.14590 | 0.154939 | ||||||||
\(717\) | −9.87539 | −0.368803 | ||||||||
\(718\) | 17.5623 | 0.655419 | ||||||||
\(719\) | 47.5623 | 1.77377 | 0.886887 | − | 0.461986i | \(-0.152863\pi\) | ||||
0.886887 | + | 0.461986i | \(0.152863\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −38.1246 | −1.41983 | ||||||||
\(722\) | 9.56231 | 0.355872 | ||||||||
\(723\) | 7.32624 | 0.272466 | ||||||||
\(724\) | 11.2361 | 0.417585 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −1.23607 | −0.0458748 | ||||||||
\(727\) | 38.8328 | 1.44023 | 0.720115 | − | 0.693855i | \(-0.244089\pi\) | ||||
0.720115 | + | 0.693855i | \(0.244089\pi\) | |||||||
\(728\) | 32.5623 | 1.20684 | ||||||||
\(729\) | −19.4377 | −0.719915 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −38.1246 | −1.41009 | ||||||||
\(732\) | 1.43769 | 0.0531387 | ||||||||
\(733\) | 23.5623 | 0.870294 | 0.435147 | − | 0.900360i | \(-0.356696\pi\) | ||||
0.435147 | + | 0.900360i | \(0.356696\pi\) | |||||||
\(734\) | −1.85410 | −0.0684362 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −4.18034 | −0.154089 | ||||||||
\(737\) | 41.5623 | 1.53097 | ||||||||
\(738\) | −13.8541 | −0.509977 | ||||||||
\(739\) | 17.7639 | 0.653457 | 0.326728 | − | 0.945118i | \(-0.394054\pi\) | ||||
0.326728 | + | 0.945118i | \(0.394054\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −6.70820 | −0.246432 | ||||||||
\(742\) | 22.4164 | 0.822932 | ||||||||
\(743\) | −25.9098 | −0.950539 | −0.475270 | − | 0.879840i | \(-0.657650\pi\) | ||||
−0.475270 | + | 0.879840i | \(0.657650\pi\) | |||||||
\(744\) | −4.34752 | −0.159388 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −3.00000 | −0.109838 | ||||||||
\(747\) | −1.34752 | −0.0493033 | ||||||||
\(748\) | −7.85410 | −0.287174 | ||||||||
\(749\) | −0.270510 | −0.00988421 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −15.3607 | −0.560519 | −0.280260 | − | 0.959924i | \(-0.590421\pi\) | ||||
−0.280260 | + | 0.959924i | \(0.590421\pi\) | |||||||
\(752\) | 40.4164 | 1.47383 | ||||||||
\(753\) | −2.39512 | −0.0872831 | ||||||||
\(754\) | 52.6869 | 1.91874 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −4.14590 | −0.150785 | ||||||||
\(757\) | 27.0000 | 0.981332 | 0.490666 | − | 0.871348i | \(-0.336754\pi\) | ||||
0.490666 | + | 0.871348i | \(0.336754\pi\) | |||||||
\(758\) | 12.2361 | 0.444434 | ||||||||
\(759\) | −1.41641 | −0.0514123 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −18.0000 | −0.652499 | −0.326250 | − | 0.945284i | \(-0.605785\pi\) | ||||
−0.326250 | + | 0.945284i | \(0.605785\pi\) | |||||||
\(762\) | −6.00000 | −0.217357 | ||||||||
\(763\) | −15.9787 | −0.578468 | ||||||||
\(764\) | 7.41641 | 0.268316 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −57.3951 | −2.07377 | ||||||||
\(767\) | −20.1246 | −0.726658 | ||||||||
\(768\) | −5.18034 | −0.186929 | ||||||||
\(769\) | −12.8885 | −0.464773 | −0.232386 | − | 0.972624i | \(-0.574653\pi\) | ||||
−0.232386 | + | 0.972624i | \(0.574653\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −11.2148 | −0.403890 | ||||||||
\(772\) | 9.43769 | 0.339670 | ||||||||
\(773\) | −21.2361 | −0.763808 | −0.381904 | − | 0.924202i | \(-0.624732\pi\) | ||||
−0.381904 | + | 0.924202i | \(0.624732\pi\) | |||||||
\(774\) | −41.5623 | −1.49393 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 17.5623 | 0.630450 | ||||||||
\(777\) | 4.24922 | 0.152440 | ||||||||
\(778\) | −2.56231 | −0.0918631 | ||||||||
\(779\) | 10.8541 | 0.388889 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 9.00000 | 0.322045 | ||||||||
\(782\) | 8.47214 | 0.302963 | ||||||||
\(783\) | 15.0000 | 0.536056 | ||||||||
\(784\) | −9.70820 | −0.346722 | ||||||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −7.58359 | −0.270498 | ||||||||
\(787\) | −11.2918 | −0.402509 | −0.201255 | − | 0.979539i | \(-0.564502\pi\) | ||||
−0.201255 | + | 0.979539i | \(0.564502\pi\) | |||||||
\(788\) | −2.50658 | −0.0892931 | ||||||||
\(789\) | −6.23607 | −0.222010 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −6.16718 | −0.219280 | ||||||||
\(792\) | 19.1459 | 0.680320 | ||||||||
\(793\) | 29.5623 | 1.04979 | ||||||||
\(794\) | 26.5623 | 0.942661 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 10.0000 | 0.354441 | ||||||||
\(797\) | 35.2148 | 1.24737 | 0.623686 | − | 0.781675i | \(-0.285634\pi\) | ||||
0.623686 | + | 0.781675i | \(0.285634\pi\) | |||||||
\(798\) | 6.70820 | 0.237468 | ||||||||
\(799\) | −35.2705 | −1.24778 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 38.2918 | 1.35297 | ||||||||
\(802\) | −19.4164 | −0.685617 | ||||||||
\(803\) | −5.56231 | −0.196290 | ||||||||
\(804\) | 3.27051 | 0.115342 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 39.9787 | 1.40819 | ||||||||
\(807\) | −0.978714 | −0.0344524 | ||||||||
\(808\) | −6.70820 | −0.235994 | ||||||||
\(809\) | −5.12461 | −0.180172 | −0.0900859 | − | 0.995934i | \(-0.528714\pi\) | ||||
−0.0900859 | + | 0.995934i | \(0.528714\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −11.8197 | −0.415044 | −0.207522 | − | 0.978230i | \(-0.566540\pi\) | ||||
−0.207522 | + | 0.978230i | \(0.566540\pi\) | |||||||
\(812\) | −12.4377 | −0.436477 | ||||||||
\(813\) | −7.67376 | −0.269131 | ||||||||
\(814\) | 18.0000 | 0.630900 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 7.85410 | 0.274949 | ||||||||
\(817\) | 32.5623 | 1.13921 | ||||||||
\(818\) | 36.8328 | 1.28783 | ||||||||
\(819\) | −41.5623 | −1.45230 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 21.2705 | 0.742346 | 0.371173 | − | 0.928564i | \(-0.378956\pi\) | ||||
0.371173 | + | 0.928564i | \(0.378956\pi\) | |||||||
\(822\) | 3.47214 | 0.121105 | ||||||||
\(823\) | −22.4164 | −0.781387 | −0.390693 | − | 0.920521i | \(-0.627765\pi\) | ||||
−0.390693 | + | 0.920521i | \(0.627765\pi\) | |||||||
\(824\) | 28.4164 | 0.989932 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 20.1246 | 0.700225 | ||||||||
\(827\) | −31.6180 | −1.09947 | −0.549733 | − | 0.835340i | \(-0.685271\pi\) | ||||
−0.549733 | + | 0.835340i | \(0.685271\pi\) | |||||||
\(828\) | 2.18034 | 0.0757720 | ||||||||
\(829\) | 6.25735 | 0.217327 | 0.108663 | − | 0.994079i | \(-0.465343\pi\) | ||||
0.108663 | + | 0.994079i | \(0.465343\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −2.02129 | −0.0701176 | ||||||||
\(832\) | −20.5623 | −0.712870 | ||||||||
\(833\) | 8.47214 | 0.293542 | ||||||||
\(834\) | −7.56231 | −0.261861 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 6.70820 | 0.232008 | ||||||||
\(837\) | 11.3820 | 0.393418 | ||||||||
\(838\) | 10.8541 | 0.374949 | ||||||||
\(839\) | 29.3951 | 1.01483 | 0.507416 | − | 0.861701i | \(-0.330601\pi\) | ||||
0.507416 | + | 0.861701i | \(0.330601\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 16.0000 | 0.551724 | ||||||||
\(842\) | −14.4164 | −0.496822 | ||||||||
\(843\) | −4.58359 | −0.157867 | ||||||||
\(844\) | −2.58359 | −0.0889309 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −38.4508 | −1.32197 | ||||||||
\(847\) | 6.00000 | 0.206162 | ||||||||
\(848\) | −22.4164 | −0.769783 | ||||||||
\(849\) | 6.00000 | 0.205919 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −4.58359 | −0.157124 | ||||||||
\(852\) | 0.708204 | 0.0242627 | ||||||||
\(853\) | −5.83282 | −0.199712 | −0.0998559 | − | 0.995002i | \(-0.531838\pi\) | ||||
−0.0998559 | + | 0.995002i | \(0.531838\pi\) | |||||||
\(854\) | −29.5623 | −1.01160 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0.201626 | 0.00689144 | ||||||||
\(857\) | −34.1803 | −1.16758 | −0.583789 | − | 0.811905i | \(-0.698431\pi\) | ||||
−0.583789 | + | 0.811905i | \(0.698431\pi\) | |||||||
\(858\) | 9.00000 | 0.307255 | ||||||||
\(859\) | −25.1246 | −0.857241 | −0.428620 | − | 0.903485i | \(-0.641000\pi\) | ||||
−0.428620 | + | 0.903485i | \(0.641000\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −3.43769 | −0.117156 | ||||||||
\(862\) | 19.8541 | 0.676233 | ||||||||
\(863\) | −6.76393 | −0.230247 | −0.115123 | − | 0.993351i | \(-0.536726\pi\) | ||||
−0.115123 | + | 0.993351i | \(0.536726\pi\) | |||||||
\(864\) | 7.56231 | 0.257275 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −23.1246 | −0.785806 | ||||||||
\(867\) | −0.360680 | −0.0122493 | ||||||||
\(868\) | −9.43769 | −0.320336 | ||||||||
\(869\) | −1.58359 | −0.0537197 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 67.2492 | 2.27865 | ||||||||
\(872\) | 11.9098 | 0.403318 | ||||||||
\(873\) | −22.4164 | −0.758680 | ||||||||
\(874\) | −7.23607 | −0.244764 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −0.437694 | −0.0147883 | ||||||||
\(877\) | −18.9787 | −0.640866 | −0.320433 | − | 0.947271i | \(-0.603828\pi\) | ||||
−0.320433 | + | 0.947271i | \(0.603828\pi\) | |||||||
\(878\) | −48.7426 | −1.64498 | ||||||||
\(879\) | 8.15905 | 0.275198 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 45.5410 | 1.53432 | 0.767158 | − | 0.641458i | \(-0.221670\pi\) | ||||
0.767158 | + | 0.641458i | \(0.221670\pi\) | |||||||
\(882\) | 9.23607 | 0.310995 | ||||||||
\(883\) | 17.8328 | 0.600122 | 0.300061 | − | 0.953920i | \(-0.402993\pi\) | ||||
0.300061 | + | 0.953920i | \(0.402993\pi\) | |||||||
\(884\) | −12.7082 | −0.427423 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −11.6180 | −0.390315 | ||||||||
\(887\) | −42.4721 | −1.42607 | −0.713037 | − | 0.701126i | \(-0.752681\pi\) | ||||
−0.713037 | + | 0.701126i | \(0.752681\pi\) | |||||||
\(888\) | −3.16718 | −0.106284 | ||||||||
\(889\) | 29.1246 | 0.976808 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −23.1246 | −0.774704 | ||||||||
\(892\) | 1.14590 | 0.0383675 | ||||||||
\(893\) | 30.1246 | 1.00808 | ||||||||
\(894\) | −9.27051 | −0.310052 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 40.8541 | 1.36484 | ||||||||
\(897\) | −2.29180 | −0.0765208 | ||||||||
\(898\) | 63.5410 | 2.12039 | ||||||||
\(899\) | 34.1459 | 1.13883 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 19.5623 | 0.651715 | ||||||||
\(902\) | −14.5623 | −0.484872 | ||||||||
\(903\) | −10.3131 | −0.343198 | ||||||||
\(904\) | 4.59675 | 0.152886 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −13.0344 | −0.433040 | ||||||||
\(907\) | −42.2705 | −1.40357 | −0.701785 | − | 0.712389i | \(-0.747613\pi\) | ||||
−0.701785 | + | 0.712389i | \(0.747613\pi\) | |||||||
\(908\) | −4.09017 | −0.135737 | ||||||||
\(909\) | 8.56231 | 0.283994 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −36.5410 | −1.21066 | −0.605329 | − | 0.795975i | \(-0.706958\pi\) | ||||
−0.605329 | + | 0.795975i | \(0.706958\pi\) | |||||||
\(912\) | −6.70820 | −0.222131 | ||||||||
\(913\) | −1.41641 | −0.0468763 | ||||||||
\(914\) | 29.1246 | 0.963357 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.854102 | −0.0282203 | ||||||||
\(917\) | 36.8115 | 1.21562 | ||||||||
\(918\) | −15.3262 | −0.505841 | ||||||||
\(919\) | −24.0689 | −0.793959 | −0.396980 | − | 0.917827i | \(-0.629942\pi\) | ||||
−0.396980 | + | 0.917827i | \(0.629942\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −2.39512 | −0.0789219 | ||||||||
\(922\) | −58.6869 | −1.93275 | ||||||||
\(923\) | 14.5623 | 0.479324 | ||||||||
\(924\) | −2.12461 | −0.0698946 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 22.8541 | 0.751032 | ||||||||
\(927\) | −36.2705 | −1.19128 | ||||||||
\(928\) | 22.6869 | 0.744735 | ||||||||
\(929\) | 36.7082 | 1.20436 | 0.602179 | − | 0.798361i | \(-0.294300\pi\) | ||||
0.602179 | + | 0.798361i | \(0.294300\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −7.23607 | −0.237153 | ||||||||
\(932\) | −16.6180 | −0.544342 | ||||||||
\(933\) | −8.12461 | −0.265988 | ||||||||
\(934\) | −63.4853 | −2.07730 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 30.9787 | 1.01257 | ||||||||
\(937\) | 9.43769 | 0.308316 | 0.154158 | − | 0.988046i | \(-0.450734\pi\) | ||||
0.154158 | + | 0.988046i | \(0.450734\pi\) | |||||||
\(938\) | −67.2492 | −2.19576 | ||||||||
\(939\) | −7.41641 | −0.242025 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −27.2705 | −0.888993 | −0.444497 | − | 0.895781i | \(-0.646617\pi\) | ||||
−0.444497 | + | 0.895781i | \(0.646617\pi\) | |||||||
\(942\) | −7.58359 | −0.247087 | ||||||||
\(943\) | 3.70820 | 0.120756 | ||||||||
\(944\) | −20.1246 | −0.655000 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −43.6869 | −1.42038 | ||||||||
\(947\) | −22.5967 | −0.734296 | −0.367148 | − | 0.930163i | \(-0.619666\pi\) | ||||
−0.367148 | + | 0.930163i | \(0.619666\pi\) | |||||||
\(948\) | −0.124612 | −0.00404720 | ||||||||
\(949\) | −9.00000 | −0.292152 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 10.2918 | 0.333734 | ||||||||
\(952\) | −28.4164 | −0.920981 | ||||||||
\(953\) | 13.1591 | 0.426264 | 0.213132 | − | 0.977023i | \(-0.431634\pi\) | ||||
0.213132 | + | 0.977023i | \(0.431634\pi\) | |||||||
\(954\) | 21.3262 | 0.690462 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 15.9787 | 0.516789 | ||||||||
\(957\) | 7.68692 | 0.248483 | ||||||||
\(958\) | 52.6869 | 1.70224 | ||||||||
\(959\) | −16.8541 | −0.544247 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −5.09017 | −0.164199 | ||||||||
\(962\) | 29.1246 | 0.939015 | ||||||||
\(963\) | −0.257354 | −0.00829312 | ||||||||
\(964\) | −11.8541 | −0.381795 | ||||||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 2.29180 | 0.0737373 | ||||||||
\(967\) | 16.1459 | 0.519217 | 0.259609 | − | 0.965714i | \(-0.416406\pi\) | ||||
0.259609 | + | 0.965714i | \(0.416406\pi\) | |||||||
\(968\) | −4.47214 | −0.143740 | ||||||||
\(969\) | 5.85410 | 0.188061 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −51.5410 | −1.65403 | −0.827015 | − | 0.562180i | \(-0.809963\pi\) | ||||
−0.827015 | + | 0.562180i | \(0.809963\pi\) | |||||||
\(972\) | −5.96556 | −0.191345 | ||||||||
\(973\) | 36.7082 | 1.17681 | ||||||||
\(974\) | −6.00000 | −0.192252 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 29.5623 | 0.946266 | ||||||||
\(977\) | 23.3820 | 0.748055 | 0.374028 | − | 0.927418i | \(-0.377976\pi\) | ||||
0.374028 | + | 0.927418i | \(0.377976\pi\) | |||||||
\(978\) | −12.2705 | −0.392368 | ||||||||
\(979\) | 40.2492 | 1.28637 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −15.2016 | −0.485351 | ||||||||
\(982\) | −58.6869 | −1.87277 | ||||||||
\(983\) | −5.25735 | −0.167684 | −0.0838418 | − | 0.996479i | \(-0.526719\pi\) | ||||
−0.0838418 | + | 0.996479i | \(0.526719\pi\) | |||||||
\(984\) | 2.56231 | 0.0816833 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −45.9787 | −1.46426 | ||||||||
\(987\) | −9.54102 | −0.303694 | ||||||||
\(988\) | 10.8541 | 0.345315 | ||||||||
\(989\) | 11.1246 | 0.353742 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −26.8197 | −0.851955 | −0.425977 | − | 0.904734i | \(-0.640070\pi\) | ||||
−0.425977 | + | 0.904734i | \(0.640070\pi\) | |||||||
\(992\) | 17.2148 | 0.546570 | ||||||||
\(993\) | 8.05573 | 0.255641 | ||||||||
\(994\) | −14.5623 | −0.461888 | ||||||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −0.111456 | −0.00353162 | ||||||||
\(997\) | 52.8541 | 1.67391 | 0.836953 | − | 0.547275i | \(-0.184335\pi\) | ||||
0.836953 | + | 0.547275i | \(0.184335\pi\) | |||||||
\(998\) | −68.5410 | −2.16963 | ||||||||
\(999\) | 8.29180 | 0.262341 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))