Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [4096,2,Mod(1,4096)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(4096, 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("4096.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 4096 = 2^{12} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4096.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: | \(32.7067246679\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{16})^+\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - 4x^{2} + 2 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 32) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.3 | ||
Root | \(0.765367\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 4096.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.765367 | 0.441885 | 0.220942 | − | 0.975287i | \(-0.429087\pi\) | ||||
0.220942 | + | 0.975287i | \(0.429087\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −2.93015 | −1.31040 | −0.655202 | − | 0.755454i | \(-0.727416\pi\) | ||||
−0.655202 | + | 0.755454i | \(0.727416\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.41421 | −0.534522 | −0.267261 | − | 0.963624i | \(-0.586119\pi\) | ||||
−0.267261 | + | 0.963624i | \(0.586119\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.41421 | −0.804738 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −4.46088 | −1.34501 | −0.672504 | − | 0.740094i | \(-0.734781\pi\) | ||||
−0.672504 | + | 0.740094i | \(0.734781\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.765367 | −0.212275 | −0.106137 | − | 0.994351i | \(-0.533848\pi\) | ||||
−0.106137 | + | 0.994351i | \(0.533848\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −2.24264 | −0.579047 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −2.82843 | −0.685994 | −0.342997 | − | 0.939336i | \(-0.611442\pi\) | ||||
−0.342997 | + | 0.939336i | \(0.611442\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.01254 | −0.920541 | −0.460270 | − | 0.887779i | \(-0.652248\pi\) | ||||
−0.460270 | + | 0.887779i | \(0.652248\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.08239 | −0.236197 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 8.24264 | 1.71871 | 0.859355 | − | 0.511380i | \(-0.170866\pi\) | ||||
0.859355 | + | 0.511380i | \(0.170866\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.58579 | 0.717157 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −4.14386 | −0.797486 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.37849 | 0.627370 | 0.313685 | − | 0.949527i | \(-0.398436\pi\) | ||||
0.313685 | + | 0.949527i | \(0.398436\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.00000 | −0.718421 | −0.359211 | − | 0.933257i | \(-0.616954\pi\) | ||||
−0.359211 | + | 0.933257i | \(0.616954\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −3.41421 | −0.594338 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 4.14386 | 0.700440 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.765367 | 0.125826 | 0.0629128 | − | 0.998019i | \(-0.479961\pi\) | ||||
0.0629128 | + | 0.998019i | \(0.479961\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −0.585786 | −0.0938009 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0.242641 | 0.0378941 | 0.0189471 | − | 0.999820i | \(-0.493969\pi\) | ||||
0.0189471 | + | 0.999820i | \(0.493969\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.09494 | −0.776970 | −0.388485 | − | 0.921455i | \(-0.627002\pi\) | ||||
−0.388485 | + | 0.921455i | \(0.627002\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 7.07401 | 1.05453 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 0.343146 | 0.0500530 | 0.0250265 | − | 0.999687i | \(-0.492033\pi\) | ||||
0.0250265 | + | 0.999687i | \(0.492033\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.00000 | −0.714286 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −2.16478 | −0.303130 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 1.21371 | 0.166716 | 0.0833578 | − | 0.996520i | \(-0.473436\pi\) | ||||
0.0833578 | + | 0.996520i | \(0.473436\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 13.0711 | 1.76250 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −3.07107 | −0.406773 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −4.90923 | −0.639127 | −0.319563 | − | 0.947565i | \(-0.603536\pi\) | ||||
−0.319563 | + | 0.947565i | \(0.603536\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.84776 | 0.236581 | 0.118291 | − | 0.992979i | \(-0.462259\pi\) | ||||
0.118291 | + | 0.992979i | \(0.462259\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 3.41421 | 0.430150 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 2.24264 | 0.278165 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.99162 | 0.731993 | 0.365996 | − | 0.930616i | \(-0.380728\pi\) | ||||
0.365996 | + | 0.930616i | \(0.380728\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 6.30864 | 0.759471 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 8.24264 | 0.978221 | 0.489111 | − | 0.872222i | \(-0.337321\pi\) | ||||
0.489111 | + | 0.872222i | \(0.337321\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 9.89949 | 1.15865 | 0.579324 | − | 0.815097i | \(-0.303317\pi\) | ||||
0.579324 | + | 0.815097i | \(0.303317\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 2.74444 | 0.316901 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 6.30864 | 0.718937 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 6.00000 | 0.675053 | 0.337526 | − | 0.941316i | \(-0.390410\pi\) | ||||
0.337526 | + | 0.941316i | \(0.390410\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 4.07107 | 0.452341 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −4.90923 | −0.538858 | −0.269429 | − | 0.963020i | \(-0.586835\pi\) | ||||
−0.269429 | + | 0.963020i | \(0.586835\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 8.28772 | 0.898929 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 2.58579 | 0.277225 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −12.2426 | −1.29772 | −0.648859 | − | 0.760909i | \(-0.724753\pi\) | ||||
−0.648859 | + | 0.760909i | \(0.724753\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.08239 | 0.113466 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −3.06147 | −0.317459 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 11.7574 | 1.20628 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 18.4853 | 1.87690 | 0.938448 | − | 0.345421i | \(-0.112264\pi\) | ||||
0.938448 | + | 0.345421i | \(0.112264\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 10.7695 | 1.08238 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −3.56420 | −0.354651 | −0.177326 | − | 0.984152i | \(-0.556745\pi\) | ||||
−0.177326 | + | 0.984152i | \(0.556745\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 13.4142 | 1.32174 | 0.660871 | − | 0.750500i | \(-0.270187\pi\) | ||||
0.660871 | + | 0.750500i | \(0.270187\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 3.17157 | 0.309514 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 4.46088 | 0.431250 | 0.215625 | − | 0.976476i | \(-0.430821\pi\) | ||||
0.215625 | + | 0.976476i | \(0.430821\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −14.9134 | −1.42844 | −0.714222 | − | 0.699919i | \(-0.753219\pi\) | ||||
−0.714222 | + | 0.699919i | \(0.753219\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0.585786 | 0.0556004 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 6.34315 | 0.596713 | 0.298356 | − | 0.954455i | \(-0.403562\pi\) | ||||
0.298356 | + | 0.954455i | \(0.403562\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −24.1522 | −2.25220 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 1.84776 | 0.170825 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 4.00000 | 0.366679 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 8.89949 | 0.809045 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0.185709 | 0.0167448 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 4.14386 | 0.370638 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −12.9706 | −1.15095 | −0.575476 | − | 0.817819i | \(-0.695183\pi\) | ||||
−0.575476 | + | 0.817819i | \(0.695183\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −3.89949 | −0.343331 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 17.7122 | 1.54752 | 0.773762 | − | 0.633476i | \(-0.218373\pi\) | ||||
0.773762 | + | 0.633476i | \(0.218373\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 5.67459 | 0.492050 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 12.1421 | 1.04503 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −12.2426 | −1.04596 | −0.522980 | − | 0.852345i | \(-0.675180\pi\) | ||||
−0.522980 | + | 0.852345i | \(0.675180\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 14.2793 | 1.21116 | 0.605579 | − | 0.795785i | \(-0.292942\pi\) | ||||
0.605579 | + | 0.795785i | \(0.292942\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.262632 | 0.0221176 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 3.41421 | 0.285511 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −9.89949 | −0.822108 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −3.82683 | −0.315632 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −16.8925 | −1.38388 | −0.691942 | − | 0.721953i | \(-0.743245\pi\) | ||||
−0.691942 | + | 0.721953i | \(0.743245\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2.10051 | −0.170937 | −0.0854683 | − | 0.996341i | \(-0.527239\pi\) | ||||
−0.0854683 | + | 0.996341i | \(0.527239\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 6.82843 | 0.552046 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 11.7206 | 0.941422 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1.84776 | −0.147467 | −0.0737336 | − | 0.997278i | \(-0.523491\pi\) | ||||
−0.0737336 | + | 0.997278i | \(0.523491\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0.928932 | 0.0736691 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −11.6569 | −0.918689 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.502734 | 0.0393772 | 0.0196886 | − | 0.999806i | \(-0.493733\pi\) | ||||
0.0196886 | + | 0.999806i | \(0.493733\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 10.0042 | 0.778823 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 20.7279 | 1.60397 | 0.801987 | − | 0.597341i | \(-0.203776\pi\) | ||||
0.801987 | + | 0.597341i | \(0.203776\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.4142 | −0.954940 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 9.68714 | 0.740794 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 8.15640 | 0.620120 | 0.310060 | − | 0.950717i | \(-0.399651\pi\) | ||||
0.310060 | + | 0.950717i | \(0.399651\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −5.07107 | −0.383337 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −3.75736 | −0.282420 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −4.27518 | −0.319542 | −0.159771 | − | 0.987154i | \(-0.551076\pi\) | ||||
−0.159771 | + | 0.987154i | \(0.551076\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −17.5265 | −1.30274 | −0.651368 | − | 0.758762i | \(-0.725804\pi\) | ||||
−0.651368 | + | 0.758762i | \(0.725804\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 1.41421 | 0.104542 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −2.24264 | −0.164882 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 12.6173 | 0.922667 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 5.86030 | 0.426274 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 12.0000 | 0.868290 | 0.434145 | − | 0.900843i | \(-0.357051\pi\) | ||||
0.434145 | + | 0.900843i | \(0.357051\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1.51472 | −0.109032 | −0.0545159 | − | 0.998513i | \(-0.517362\pi\) | ||||
−0.0545159 | + | 0.998513i | \(0.517362\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 1.71644 | 0.122917 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −12.1146 | −0.863126 | −0.431563 | − | 0.902083i | \(-0.642038\pi\) | ||||
−0.431563 | + | 0.902083i | \(0.642038\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 22.5858 | 1.60106 | 0.800532 | − | 0.599290i | \(-0.204550\pi\) | ||||
0.800532 | + | 0.599290i | \(0.204550\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 4.58579 | 0.323456 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −4.77791 | −0.335344 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.710974 | −0.0496566 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −19.8995 | −1.38311 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 17.8995 | 1.23813 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −19.6913 | −1.35560 | −0.677802 | − | 0.735244i | \(-0.737068\pi\) | ||||
−0.677802 | + | 0.735244i | \(0.737068\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 6.30864 | 0.432261 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 14.9289 | 1.01814 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 5.65685 | 0.384012 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 7.57675 | 0.511989 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 2.16478 | 0.145619 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −20.9706 | −1.40429 | −0.702146 | − | 0.712033i | \(-0.747775\pi\) | ||||
−0.702146 | + | 0.712033i | \(0.747775\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −8.65685 | −0.577124 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 20.1396 | 1.33671 | 0.668357 | − | 0.743840i | \(-0.266998\pi\) | ||||
0.668357 | + | 0.743840i | \(0.266998\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −24.0978 | −1.59243 | −0.796213 | − | 0.605016i | \(-0.793167\pi\) | ||||
−0.796213 | + | 0.605016i | \(0.793167\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 4.82843 | 0.317687 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 3.75736 | 0.246153 | 0.123076 | − | 0.992397i | \(-0.460724\pi\) | ||||
0.123076 | + | 0.992397i | \(0.460724\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −1.00547 | −0.0655896 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 4.59220 | 0.298296 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 5.31371 | 0.343715 | 0.171858 | − | 0.985122i | \(-0.445023\pi\) | ||||
0.171858 | + | 0.985122i | \(0.445023\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 8.48528 | 0.546585 | 0.273293 | − | 0.961931i | \(-0.411887\pi\) | ||||
0.273293 | + | 0.961931i | \(0.411887\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 15.5474 | 0.997369 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 14.6508 | 0.936002 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.07107 | 0.195407 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −3.75736 | −0.238113 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 17.2639 | 1.08969 | 0.544843 | − | 0.838538i | \(-0.316589\pi\) | ||||
0.544843 | + | 0.838538i | \(0.316589\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −36.7695 | −2.31168 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 6.34315 | 0.397223 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 6.00000 | 0.374270 | 0.187135 | − | 0.982334i | \(-0.440080\pi\) | ||||
0.187135 | + | 0.982334i | \(0.440080\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.08239 | −0.0672566 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −8.15640 | −0.504869 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 8.24264 | 0.508263 | 0.254131 | − | 0.967170i | \(-0.418210\pi\) | ||||
0.254131 | + | 0.967170i | \(0.418210\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −3.55635 | −0.218465 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −9.37011 | −0.573442 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −23.8352 | −1.45326 | −0.726628 | − | 0.687031i | \(-0.758913\pi\) | ||||
−0.726628 | + | 0.687031i | \(0.758913\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 18.0000 | 1.09342 | 0.546711 | − | 0.837321i | \(-0.315880\pi\) | ||||
0.546711 | + | 0.837321i | \(0.315880\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0.828427 | 0.0501387 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −15.9958 | −0.964582 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.84776 | 0.111021 | 0.0555105 | − | 0.998458i | \(-0.482321\pi\) | ||||
0.0555105 | + | 0.998458i | \(0.482321\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 9.65685 | 0.578141 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 16.7279 | 0.997904 | 0.498952 | − | 0.866630i | \(-0.333718\pi\) | ||||
0.498952 | + | 0.866630i | \(0.333718\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −15.0991 | −0.897548 | −0.448774 | − | 0.893645i | \(-0.648139\pi\) | ||||
−0.448774 | + | 0.893645i | \(0.648139\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 8.99869 | 0.533037 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −0.343146 | −0.0202553 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −9.00000 | −0.529412 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 14.1480 | 0.829372 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 25.1033 | 1.46655 | 0.733274 | − | 0.679933i | \(-0.237991\pi\) | ||||
0.733274 | + | 0.679933i | \(0.237991\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 14.3848 | 0.837514 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 18.4853 | 1.07262 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −6.30864 | −0.364838 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 7.20533 | 0.415308 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −2.72792 | −0.156715 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −5.41421 | −0.310017 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −18.1606 | −1.03648 | −0.518239 | − | 0.855236i | \(-0.673412\pi\) | ||||
−0.518239 | + | 0.855236i | \(0.673412\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 10.2668 | 0.584058 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 3.75736 | 0.213060 | 0.106530 | − | 0.994309i | \(-0.466026\pi\) | ||||
0.106530 | + | 0.994309i | \(0.466026\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −10.5858 | −0.598344 | −0.299172 | − | 0.954199i | \(-0.596710\pi\) | ||||
−0.299172 | + | 0.954199i | \(0.596710\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −10.0042 | −0.563671 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 18.7946 | 1.05561 | 0.527805 | − | 0.849365i | \(-0.323015\pi\) | ||||
0.527805 | + | 0.849365i | \(0.323015\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −15.0711 | −0.843818 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 3.41421 | 0.190563 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 11.3492 | 0.631486 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −2.74444 | −0.152234 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −11.4142 | −0.631207 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −0.485281 | −0.0267544 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.39942 | −0.0769189 | −0.0384595 | − | 0.999260i | \(-0.512245\pi\) | ||||
−0.0384595 | + | 0.999260i | \(0.512245\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −1.84776 | −0.101257 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −17.5563 | −0.959206 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −16.9706 | −0.924445 | −0.462223 | − | 0.886764i | \(-0.652948\pi\) | ||||
−0.462223 | + | 0.886764i | \(0.652948\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 4.85483 | 0.263678 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 17.8435 | 0.966282 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 16.9706 | 0.916324 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −18.4853 | −0.995214 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −4.27518 | −0.229503 | −0.114752 | − | 0.993394i | \(-0.536607\pi\) | ||||
−0.114752 | + | 0.993394i | \(0.536607\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −26.7109 | −1.42980 | −0.714901 | − | 0.699225i | \(-0.753528\pi\) | ||||
−0.714901 | + | 0.699225i | \(0.753528\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 3.17157 | 0.169286 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −6.00000 | −0.319348 | −0.159674 | − | 0.987170i | \(-0.551044\pi\) | ||||
−0.159674 | + | 0.987170i | \(0.551044\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −24.1522 | −1.28186 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 3.06147 | 0.162030 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −25.2132 | −1.33070 | −0.665351 | − | 0.746531i | \(-0.731718\pi\) | ||||
−0.665351 | + | 0.746531i | \(0.731718\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −2.89949 | −0.152605 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 6.81138 | 0.357505 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −29.0070 | −1.51830 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 6.00000 | 0.313197 | 0.156599 | − | 0.987662i | \(-0.449947\pi\) | ||||
0.156599 | + | 0.987662i | \(0.449947\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −0.585786 | −0.0304948 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −1.71644 | −0.0891133 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 11.1409 | 0.576856 | 0.288428 | − | 0.957502i | \(-0.406867\pi\) | ||||
0.288428 | + | 0.957502i | \(0.406867\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 3.17157 | 0.163779 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −2.58579 | −0.133175 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −35.7415 | −1.83592 | −0.917958 | − | 0.396677i | \(-0.870163\pi\) | ||||
−0.917958 | + | 0.396677i | \(0.870163\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −9.92724 | −0.508588 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 16.9706 | 0.867155 | 0.433578 | − | 0.901116i | \(-0.357251\pi\) | ||||
0.433578 | + | 0.901116i | \(0.357251\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −18.4853 | −0.942097 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 12.3003 | 0.625257 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 21.9330 | 1.11205 | 0.556024 | − | 0.831166i | \(-0.312326\pi\) | ||||
0.556024 | + | 0.831166i | \(0.312326\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −23.3137 | −1.17902 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 13.5563 | 0.683827 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −17.5809 | −0.884591 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 24.0978 | 1.20943 | 0.604717 | − | 0.796441i | \(-0.293286\pi\) | ||||
0.604717 | + | 0.796441i | \(0.293286\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 4.34315 | 0.217429 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −2.82843 | −0.141245 | −0.0706225 | − | 0.997503i | \(-0.522499\pi\) | ||||
−0.0706225 | + | 0.997503i | \(0.522499\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3.06147 | 0.152503 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −11.9288 | −0.592749 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −3.41421 | −0.169236 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −30.3848 | −1.50243 | −0.751215 | − | 0.660057i | \(-0.770532\pi\) | ||||
−0.751215 | + | 0.660057i | \(0.770532\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −9.37011 | −0.462194 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 6.94269 | 0.341628 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 14.3848 | 0.706121 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 10.9289 | 0.535192 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 13.6453 | 0.666616 | 0.333308 | − | 0.942818i | \(-0.391835\pi\) | ||||
0.333308 | + | 0.942818i | \(0.391835\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 16.4441 | 0.801437 | 0.400719 | − | 0.916201i | \(-0.368760\pi\) | ||||
0.400719 | + | 0.916201i | \(0.368760\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −0.828427 | −0.0402795 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −10.1421 | −0.491966 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −2.61313 | −0.126458 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 2.61313 | 0.126163 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 12.3431 | 0.594548 | 0.297274 | − | 0.954792i | \(-0.403922\pi\) | ||||
0.297274 | + | 0.954792i | \(0.403922\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 15.5147 | 0.745590 | 0.372795 | − | 0.927914i | \(-0.378400\pi\) | ||||
0.372795 | + | 0.927914i | \(0.378400\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −7.57675 | −0.363277 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −33.0740 | −1.58214 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 24.0416 | 1.14744 | 0.573722 | − | 0.819050i | \(-0.305499\pi\) | ||||
0.573722 | + | 0.819050i | \(0.305499\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 12.0711 | 0.574813 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 1.58513 | 0.0753116 | 0.0376558 | − | 0.999291i | \(-0.488011\pi\) | ||||
0.0376558 | + | 0.999291i | \(0.488011\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 35.8728 | 1.70053 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −12.9289 | −0.611518 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −19.4558 | −0.918178 | −0.459089 | − | 0.888390i | \(-0.651824\pi\) | ||||
−0.459089 | + | 0.888390i | \(0.651824\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.08239 | −0.0509679 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −1.60766 | −0.0755343 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −3.17157 | −0.148686 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −10.5858 | −0.495182 | −0.247591 | − | 0.968865i | \(-0.579639\pi\) | ||||
−0.247591 | + | 0.968865i | \(0.579639\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 11.7206 | 0.547071 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −1.66205 | −0.0774094 | −0.0387047 | − | 0.999251i | \(-0.512323\pi\) | ||||
−0.0387047 | + | 0.999251i | \(0.512323\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 22.9706 | 1.06753 | 0.533766 | − | 0.845632i | \(-0.320776\pi\) | ||||
0.533766 | + | 0.845632i | \(0.320776\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 8.97056 | 0.416000 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 23.7582 | 1.09940 | 0.549700 | − | 0.835362i | \(-0.314742\pi\) | ||||
0.549700 | + | 0.835362i | \(0.314742\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −8.47343 | −0.391267 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −1.41421 | −0.0651635 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 22.7279 | 1.04503 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −14.3881 | −0.660172 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −2.93015 | −0.134162 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 28.9706 | 1.32370 | 0.661849 | − | 0.749637i | \(-0.269772\pi\) | ||||
0.661849 | + | 0.749637i | \(0.269772\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.585786 | −0.0267096 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −8.92177 | −0.405955 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −54.1647 | −2.45949 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −15.5563 | −0.704925 | −0.352463 | − | 0.935826i | \(-0.614656\pi\) | ||||
−0.352463 | + | 0.935826i | \(0.614656\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0.384776 | 0.0174002 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −42.5754 | −1.92140 | −0.960700 | − | 0.277589i | \(-0.910465\pi\) | ||||
−0.960700 | + | 0.277589i | \(0.910465\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −9.55582 | −0.430373 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −31.5563 | −1.41835 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −11.6569 | −0.522881 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −2.48181 | −0.111101 | −0.0555505 | − | 0.998456i | \(-0.517691\pi\) | ||||
−0.0555505 | + | 0.998456i | \(0.517691\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 15.8645 | 0.708772 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 15.7574 | 0.702586 | 0.351293 | − | 0.936266i | \(-0.385742\pi\) | ||||
0.351293 | + | 0.936266i | \(0.385742\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 10.4437 | 0.464736 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −9.50143 | −0.421973 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −28.2417 | −1.25179 | −0.625895 | − | 0.779908i | \(-0.715266\pi\) | ||||
−0.625895 | + | 0.779908i | \(0.715266\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −14.0000 | −0.619324 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 16.6274 | 0.734118 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −39.3057 | −1.73201 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.53073 | −0.0673216 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 6.24264 | 0.274022 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 4.72792 | 0.207134 | 0.103567 | − | 0.994622i | \(-0.466974\pi\) | ||||
0.103567 | + | 0.994622i | \(0.466974\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 20.7737 | 0.908370 | 0.454185 | − | 0.890907i | \(-0.349930\pi\) | ||||
0.454185 | + | 0.890907i | \(0.349930\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −3.88123 | −0.169391 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 11.3137 | 0.492833 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 44.9411 | 1.95396 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 11.8519 | 0.514330 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −0.185709 | −0.00804396 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −13.0711 | −0.565112 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −3.27208 | −0.141201 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 22.3044 | 0.960720 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 29.5098 | 1.26872 | 0.634362 | − | 0.773036i | \(-0.281263\pi\) | ||||
0.634362 | + | 0.773036i | \(0.281263\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −13.4142 | −0.575659 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 43.6985 | 1.87184 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −18.9803 | −0.811540 | −0.405770 | − | 0.913975i | \(-0.632997\pi\) | ||||
−0.405770 | + | 0.913975i | \(0.632997\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −4.46088 | −0.190386 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −13.5563 | −0.577520 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −8.48528 | −0.360831 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −1.71644 | −0.0728589 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 39.5139 | 1.67426 | 0.837129 | − | 0.547005i | \(-0.184232\pi\) | ||||
0.837129 | + | 0.547005i | \(0.184232\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 3.89949 | 0.164931 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 9.65685 | 0.407713 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 20.5880 | 0.867680 | 0.433840 | − | 0.900990i | \(-0.357158\pi\) | ||||
0.433840 | + | 0.900990i | \(0.357158\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −18.5864 | −0.781935 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −5.75736 | −0.241786 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 20.7279 | 0.868960 | 0.434480 | − | 0.900682i | \(-0.356932\pi\) | ||||
0.434480 | + | 0.900682i | \(0.356932\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −7.07401 | −0.296038 | −0.148019 | − | 0.988985i | \(-0.547290\pi\) | ||||
−0.148019 | + | 0.988985i | \(0.547290\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 9.18440 | 0.383684 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 29.5563 | 1.23258 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 18.9706 | 0.789755 | 0.394877 | − | 0.918734i | \(-0.370787\pi\) | ||||
0.394877 | + | 0.918734i | \(0.370787\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −1.15932 | −0.0481795 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 6.94269 | 0.288032 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −5.41421 | −0.224234 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −5.41421 | −0.223850 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −13.6453 | −0.563201 | −0.281601 | − | 0.959532i | \(-0.590865\pi\) | ||||
−0.281601 | + | 0.959532i | \(0.590865\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 16.0502 | 0.661336 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −9.27208 | −0.381402 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −28.2843 | −1.16150 | −0.580748 | − | 0.814083i | \(-0.697240\pi\) | ||||
−0.580748 | + | 0.814083i | \(0.697240\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −11.7206 | −0.480498 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 17.2864 | 0.707486 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −37.6985 | −1.54032 | −0.770159 | − | 0.637852i | \(-0.779823\pi\) | ||||
−0.770159 | + | 0.637852i | \(0.779823\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 31.0711 | 1.26742 | 0.633708 | − | 0.773573i | \(-0.281532\pi\) | ||||
0.633708 | + | 0.773573i | \(0.281532\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −14.4650 | −0.589062 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −26.0769 | −1.06018 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −32.9706 | −1.33823 | −0.669117 | − | 0.743157i | \(-0.733327\pi\) | ||||
−0.669117 | + | 0.743157i | \(0.733327\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −3.65685 | −0.148183 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −0.262632 | −0.0106250 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 3.45542 | 0.139563 | 0.0697815 | − | 0.997562i | \(-0.477770\pi\) | ||||
0.0697815 | + | 0.997562i | \(0.477770\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −0.544156 | −0.0219425 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −32.2426 | −1.29804 | −0.649020 | − | 0.760771i | \(-0.724821\pi\) | ||||
−0.649020 | + | 0.760771i | \(0.724821\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 23.5725 | 0.947460 | 0.473730 | − | 0.880670i | \(-0.342907\pi\) | ||||
0.473730 | + | 0.880670i | \(0.342907\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −34.1563 | −1.37065 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 17.3137 | 0.693659 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −30.0711 | −1.20284 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 13.6997 | 0.547113 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −2.16478 | −0.0863156 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −45.8995 | −1.82723 | −0.913615 | − | 0.406580i | \(-0.866721\pi\) | ||||
−0.913615 | + | 0.406580i | \(0.866721\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −15.0711 | −0.599021 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 38.0057 | 1.50821 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 3.82683 | 0.151625 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −19.8995 | −0.787212 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 7.45584 | 0.294488 | 0.147244 | − | 0.989100i | \(-0.452960\pi\) | ||||
0.147244 | + | 0.989100i | \(0.452960\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −12.3772 | −0.488109 | −0.244054 | − | 0.969762i | \(-0.578478\pi\) | ||||
−0.244054 | + | 0.969762i | \(0.578478\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 11.4261 | 0.449903 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −8.72792 | −0.343130 | −0.171565 | − | 0.985173i | \(-0.554882\pi\) | ||||
−0.171565 | + | 0.985173i | \(0.554882\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 21.8995 | 0.859630 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 4.32957 | 0.169689 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −5.46635 | −0.213915 | −0.106957 | − | 0.994264i | \(-0.534111\pi\) | ||||
−0.106957 | + | 0.994264i | \(0.534111\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −51.8995 | −2.02788 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −23.8995 | −0.932408 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 26.4483 | 1.03028 | 0.515139 | − | 0.857106i | \(-0.327740\pi\) | ||||
0.515139 | + | 0.857106i | \(0.327740\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −45.1885 | −1.75763 | −0.878815 | − | 0.477163i | \(-0.841665\pi\) | ||||
−0.878815 | + | 0.477163i | \(0.841665\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 1.65685 | 0.0643469 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −16.6274 | −0.644784 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 27.8477 | 1.07827 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −16.0502 | −0.620536 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −8.24264 | −0.318204 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −22.4853 | −0.866744 | −0.433372 | − | 0.901215i | \(-0.642676\pi\) | ||||
−0.433372 | + | 0.901215i | \(0.642676\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −14.8590 | −0.571923 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 40.7820 | 1.56738 | 0.783690 | − | 0.621152i | \(-0.213335\pi\) | ||||
0.783690 | + | 0.621152i | \(0.213335\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −26.1421 | −1.00324 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 15.4142 | 0.590674 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 10.9552 | 0.419191 | 0.209595 | − | 0.977788i | \(-0.432785\pi\) | ||||
0.209595 | + | 0.977788i | \(0.432785\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 35.8728 | 1.37063 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −18.4437 | −0.703669 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −0.928932 | −0.0353895 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 32.6800 | 1.24321 | 0.621603 | − | 0.783332i | \(-0.286482\pi\) | ||||
0.621603 | + | 0.783332i | \(0.286482\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −15.2304 | −0.578556 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −41.8406 | −1.58711 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.686292 | −0.0259951 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 2.87576 | 0.108771 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 3.11586 | 0.117684 | 0.0588422 | − | 0.998267i | \(-0.481259\pi\) | ||||
0.0588422 | + | 0.998267i | \(0.481259\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −3.07107 | −0.115828 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −0.769553 | −0.0289830 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 5.04054 | 0.189569 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −22.9385 | −0.861473 | −0.430736 | − | 0.902478i | \(-0.641746\pi\) | ||||
−0.430736 | + | 0.902478i | \(0.641746\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −14.4853 | −0.543240 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −32.9706 | −1.23476 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −10.0042 | −0.374134 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 4.06694 | 0.151883 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 35.6569 | 1.32978 | 0.664888 | − | 0.746943i | \(-0.268479\pi\) | ||||
0.664888 | + | 0.746943i | \(0.268479\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −18.9706 | −0.706501 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 6.49435 | 0.241528 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 12.1146 | 0.449923 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −14.1005 | −0.522959 | −0.261479 | − | 0.965209i | \(-0.584210\pi\) | ||||
−0.261479 | + | 0.965209i | \(0.584210\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −0.313708 | −0.0116188 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 14.4107 | 0.532997 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 36.0041 | 1.32984 | 0.664921 | − | 0.746914i | \(-0.268465\pi\) | ||||
0.664921 | + | 0.746914i | \(0.268465\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 11.2132 | 0.413605 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −26.7279 | −0.984536 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 0.502734 | 0.0184934 | 0.00924669 | − | 0.999957i | \(-0.497057\pi\) | ||||
0.00924669 | + | 0.999957i | \(0.497057\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 2.35049 | 0.0863475 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 44.7279 | 1.64091 | 0.820454 | − | 0.571712i | \(-0.193721\pi\) | ||||
0.820454 | + | 0.571712i | \(0.193721\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 49.4975 | 1.81345 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 11.8519 | 0.433639 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −6.30864 | −0.230513 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 10.9706 | 0.400322 | 0.200161 | − | 0.979763i | \(-0.435854\pi\) | ||||
0.200161 | + | 0.979763i | \(0.435854\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 13.2132 | 0.481516 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 6.15480 | 0.223996 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 36.0041 | 1.30859 | 0.654296 | − | 0.756239i | \(-0.272965\pi\) | ||||
0.654296 | + | 0.756239i | \(0.272965\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −28.1421 | −1.02149 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −42.1838 | −1.52916 | −0.764580 | − | 0.644529i | \(-0.777054\pi\) | ||||
−0.764580 | + | 0.644529i | \(0.777054\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 21.0907 | 0.763535 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −20.0083 | −0.723402 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 3.75736 | 0.135670 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 5.51472 | 0.198866 | 0.0994329 | − | 0.995044i | \(-0.468297\pi\) | ||||
0.0994329 | + | 0.995044i | \(0.468297\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 4.59220 | 0.165384 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −31.5976 | −1.13649 | −0.568244 | − | 0.822860i | \(-0.692377\pi\) | ||||
−0.568244 | + | 0.822860i | \(0.692377\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −14.3431 | −0.515221 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −0.828427 | −0.0297197 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −0.973606 | −0.0348831 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −36.7695 | −1.31572 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −14.0000 | −0.500319 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 5.41421 | 0.193242 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 2.48181 | 0.0884670 | 0.0442335 | − | 0.999021i | \(-0.485915\pi\) | ||||
0.0442335 | + | 0.999021i | \(0.485915\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 6.30864 | 0.224594 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −8.97056 | −0.318956 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1.41421 | −0.0502202 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −2.72191 | −0.0965363 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 28.2417 | 1.00037 | 0.500185 | − | 0.865918i | \(-0.333265\pi\) | ||||
0.500185 | + | 0.865918i | \(0.333265\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −0.970563 | −0.0343360 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 29.5563 | 1.04432 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −44.1605 | −1.55839 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 34.1563 | 1.20385 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −18.2426 | −0.642171 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 41.2132 | 1.44898 | 0.724490 | − | 0.689286i | \(-0.242076\pi\) | ||||
0.724490 | + | 0.689286i | \(0.242076\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 45.7456 | 1.60635 | 0.803173 | − | 0.595746i | \(-0.203143\pi\) | ||||
0.803173 | + | 0.595746i | \(0.203143\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 13.7766 | 0.483167 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −1.47309 | −0.0516000 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 20.4437 | 0.715233 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −2.61313 | −0.0913100 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 23.3868 | 0.816206 | 0.408103 | − | 0.912936i | \(-0.366191\pi\) | ||||
0.408103 | + | 0.912936i | \(0.366191\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −50.8701 | −1.77322 | −0.886609 | − | 0.462519i | \(-0.846946\pi\) | ||||
−0.886609 | + | 0.462519i | \(0.846946\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −12.2426 | −0.426234 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 42.1270 | 1.46490 | 0.732450 | − | 0.680820i | \(-0.238377\pi\) | ||||
0.732450 | + | 0.680820i | \(0.238377\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 37.0096 | 1.28540 | 0.642698 | − | 0.766120i | \(-0.277815\pi\) | ||||
0.642698 | + | 0.766120i | \(0.277815\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 1.41421 | 0.0490585 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 14.1421 | 0.489996 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −60.7359 | −2.10185 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 16.5754 | 0.572931 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −13.6985 | −0.472924 | −0.236462 | − | 0.971641i | \(-0.575988\pi\) | ||||
−0.236462 | + | 0.971641i | \(0.575988\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −17.5858 | −0.606406 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 12.8030 | 0.440959 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 36.3755 | 1.25136 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −12.5858 | −0.432453 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −11.5563 | −0.396613 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 6.30864 | 0.216258 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 55.3784 | 1.89612 | 0.948060 | − | 0.318092i | \(-0.103042\pi\) | ||||
0.948060 | + | 0.318092i | \(0.103042\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −28.3848 | −0.970739 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −13.6985 | −0.467931 | −0.233966 | − | 0.972245i | \(-0.575170\pi\) | ||||
−0.233966 | + | 0.972245i | \(0.575170\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 4.38396 | 0.149579 | 0.0747894 | − | 0.997199i | \(-0.476172\pi\) | ||||
0.0747894 | + | 0.997199i | \(0.476172\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −0.262632 | −0.00895049 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 21.9411 | 0.746885 | 0.373442 | − | 0.927653i | \(-0.378177\pi\) | ||||
0.373442 | + | 0.927653i | \(0.378177\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −23.8995 | −0.812607 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −6.88830 | −0.233939 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −26.7653 | −0.907951 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −4.58579 | −0.155383 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −44.6274 | −1.51041 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −5.86030 | −0.198114 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −1.92468 | −0.0649919 | −0.0324960 | − | 0.999472i | \(-0.510346\pi\) | ||||
−0.0324960 | + | 0.999472i | \(0.510346\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 19.2132 | 0.648045 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −22.6274 | −0.762337 | −0.381169 | − | 0.924506i | \(-0.624478\pi\) | ||||
−0.381169 | + | 0.924506i | \(0.624478\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 53.7389 | 1.80846 | 0.904228 | − | 0.427049i | \(-0.140447\pi\) | ||||
0.904228 | + | 0.427049i | \(0.140447\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 11.0096 | 0.370085 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −3.27208 | −0.109866 | −0.0549328 | − | 0.998490i | \(-0.517494\pi\) | ||||
−0.0549328 | + | 0.998490i | \(0.517494\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 18.3431 | 0.615209 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −18.1606 | −0.608402 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −1.37689 | −0.0460758 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 12.5269 | 0.418728 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −4.82843 | −0.161216 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −13.5140 | −0.450716 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −3.43289 | −0.114366 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 5.51472 | 0.183518 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 51.3553 | 1.70711 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −17.0782 | −0.567071 | −0.283536 | − | 0.958962i | \(-0.591507\pi\) | ||||
−0.283536 | + | 0.958962i | \(0.591507\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 8.60474 | 0.285401 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 33.5980 | 1.11315 | 0.556575 | − | 0.830797i | \(-0.312115\pi\) | ||||
0.556575 | + | 0.830797i | \(0.312115\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 21.8995 | 0.724767 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −4.14386 | −0.136992 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −25.0489 | −0.827186 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −12.0416 | −0.397217 | −0.198608 | − | 0.980079i | \(-0.563642\pi\) | ||||
−0.198608 | + | 0.980079i | \(0.563642\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −13.8995 | −0.458004 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −6.30864 | −0.207652 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 2.74444 | 0.0902367 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −32.3848 | −1.06366 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 9.51472 | 0.312168 | 0.156084 | − | 0.987744i | \(-0.450113\pi\) | ||||
0.156084 | + | 0.987744i | \(0.450113\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 20.0627 | 0.657529 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 2.87576 | 0.0941481 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −36.9706 | −1.20907 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −26.8701 | −0.877807 | −0.438903 | − | 0.898534i | \(-0.644633\pi\) | ||||
−0.438903 | + | 0.898534i | \(0.644633\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −8.10201 | −0.264399 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 1.66205 | 0.0541813 | 0.0270906 | − | 0.999633i | \(-0.491376\pi\) | ||||
0.0270906 | + | 0.999633i | \(0.491376\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 2.00000 | 0.0651290 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −17.1716 | −0.558591 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 24.3923 | 0.792643 | 0.396321 | − | 0.918112i | \(-0.370287\pi\) | ||||
0.396321 | + | 0.918112i | \(0.370287\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −7.57675 | −0.245952 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 14.3848 | 0.466458 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 20.7279 | 0.671443 | 0.335722 | − | 0.941961i | \(-0.391020\pi\) | ||||
0.335722 | + | 0.941961i | \(0.391020\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −35.1618 | −1.13781 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −11.5349 | −0.372870 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 17.3137 | 0.559089 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −15.0000 | −0.483871 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −10.7695 | −0.347043 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 4.43835 | 0.142876 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 8.52691 | 0.274207 | 0.137104 | − | 0.990557i | \(-0.456221\pi\) | ||||
0.137104 | + | 0.990557i | \(0.456221\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 8.68629 | 0.279044 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 24.2066 | 0.776826 | 0.388413 | − | 0.921485i | \(-0.373023\pi\) | ||||
0.388413 | + | 0.921485i | \(0.373023\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −20.1940 | −0.647391 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −2.10051 | −0.0672700 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 14.1421 | 0.452447 | 0.226224 | − | 0.974075i | \(-0.427362\pi\) | ||||
0.226224 | + | 0.974075i | \(0.427362\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 54.6130 | 1.74544 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 36.0041 | 1.14952 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −27.7574 | −0.885322 | −0.442661 | − | 0.896689i | \(-0.645966\pi\) | ||||
−0.442661 | + | 0.896689i | \(0.645966\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 35.4975 | 1.13104 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −0.371418 | −0.0118224 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −41.9957 | −1.33539 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −16.0000 | −0.508257 | −0.254128 | − | 0.967170i | \(-0.581789\pi\) | ||||
−0.254128 | + | 0.967170i | \(0.581789\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −1.07107 | −0.0339893 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −66.1798 | −2.09804 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −52.7653 | −1.67109 | −0.835546 | − | 0.549420i | \(-0.814849\pi\) | ||||
−0.835546 | + | 0.549420i | \(0.814849\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −3.17157 | −0.100344 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))