Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1472,2,Mod(1,1472)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1472, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 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("1472.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1472 = 2^{6} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1472.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: | \(11.7539791775\) |
Analytic rank: | \(0\) |
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: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2 \) |
Twist minimal: | no (minimal twist has level 23) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.2 | ||
Root | \(-0.618034\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1472.1 |
$q$-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 | ||||||||
\(3\) | 2.23607 | 1.29099 | 0.645497 | − | 0.763763i | \(-0.276650\pi\) | ||||
0.645497 | + | 0.763763i | \(0.276650\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 3.23607 | 1.44721 | 0.723607 | − | 0.690212i | \(-0.242483\pi\) | ||||
0.723607 | + | 0.690212i | \(0.242483\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.23607 | 0.467190 | 0.233595 | − | 0.972334i | \(-0.424951\pi\) | ||||
0.233595 | + | 0.972334i | \(0.424951\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.00000 | 0.666667 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.763932 | −0.230334 | −0.115167 | − | 0.993346i | \(-0.536740\pi\) | ||||
−0.115167 | + | 0.993346i | \(0.536740\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.00000 | −0.832050 | −0.416025 | − | 0.909353i | \(-0.636577\pi\) | ||||
−0.416025 | + | 0.909353i | \(0.636577\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 7.23607 | 1.86834 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 5.23607 | 1.26993 | 0.634967 | − | 0.772540i | \(-0.281014\pi\) | ||||
0.634967 | + | 0.772540i | \(0.281014\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.00000 | −0.458831 | −0.229416 | − | 0.973329i | \(-0.573682\pi\) | ||||
−0.229416 | + | 0.973329i | \(0.573682\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.76393 | 0.603139 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.00000 | −0.208514 | ||||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 5.47214 | 1.09443 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −2.23607 | −0.430331 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.00000 | 0.557086 | 0.278543 | − | 0.960424i | \(-0.410149\pi\) | ||||
0.278543 | + | 0.960424i | \(0.410149\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 6.70820 | 1.20483 | 0.602414 | − | 0.798183i | \(-0.294205\pi\) | ||||
0.602414 | + | 0.798183i | \(0.294205\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −1.70820 | −0.297360 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 4.00000 | 0.676123 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.23607 | −0.532006 | −0.266003 | − | 0.963972i | \(-0.585703\pi\) | ||||
−0.266003 | + | 0.963972i | \(0.585703\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −6.70820 | −1.07417 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 5.47214 | 0.854604 | 0.427302 | − | 0.904109i | \(-0.359464\pi\) | ||||
0.427302 | + | 0.904109i | \(0.359464\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 6.47214 | 0.964809 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −2.23607 | −0.326164 | −0.163082 | − | 0.986613i | \(-0.552144\pi\) | ||||
−0.163082 | + | 0.986613i | \(0.552144\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.47214 | −0.781734 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 11.7082 | 1.63948 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 8.47214 | 1.16374 | 0.581869 | − | 0.813283i | \(-0.302322\pi\) | ||||
0.581869 | + | 0.813283i | \(0.302322\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.47214 | −0.333343 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −4.47214 | −0.592349 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −2.47214 | −0.321845 | −0.160922 | − | 0.986967i | \(-0.551447\pi\) | ||||
−0.160922 | + | 0.986967i | \(0.551447\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −10.9443 | −1.40127 | −0.700635 | − | 0.713520i | \(-0.747100\pi\) | ||||
−0.700635 | + | 0.713520i | \(0.747100\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 2.47214 | 0.311460 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −9.70820 | −1.20415 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −7.23607 | −0.884026 | −0.442013 | − | 0.897009i | \(-0.645736\pi\) | ||||
−0.442013 | + | 0.897009i | \(0.645736\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −2.23607 | −0.269191 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −7.76393 | −0.921409 | −0.460705 | − | 0.887554i | \(-0.652403\pi\) | ||||
−0.460705 | + | 0.887554i | \(0.652403\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 15.4721 | 1.81088 | 0.905438 | − | 0.424478i | \(-0.139542\pi\) | ||||
0.905438 | + | 0.424478i | \(0.139542\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 12.2361 | 1.41290 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −0.944272 | −0.107610 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −6.94427 | −0.781292 | −0.390646 | − | 0.920541i | \(-0.627748\pi\) | ||||
−0.390646 | + | 0.920541i | \(0.627748\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −11.0000 | −1.22222 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −13.2361 | −1.45285 | −0.726424 | − | 0.687247i | \(-0.758819\pi\) | ||||
−0.726424 | + | 0.687247i | \(0.758819\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 16.9443 | 1.83786 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 6.70820 | 0.719195 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −1.52786 | −0.161953 | −0.0809766 | − | 0.996716i | \(-0.525804\pi\) | ||||
−0.0809766 | + | 0.996716i | \(0.525804\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.70820 | −0.388725 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 15.0000 | 1.55543 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −6.47214 | −0.664027 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 4.29180 | 0.435766 | 0.217883 | − | 0.975975i | \(-0.430085\pi\) | ||||
0.217883 | + | 0.975975i | \(0.430085\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −1.52786 | −0.153556 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 4.47214 | 0.444994 | 0.222497 | − | 0.974933i | \(-0.428579\pi\) | ||||
0.222497 | + | 0.974933i | \(0.428579\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −18.1803 | −1.79136 | −0.895681 | − | 0.444697i | \(-0.853311\pi\) | ||||
−0.895681 | + | 0.444697i | \(0.853311\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 8.94427 | 0.872872 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −13.4164 | −1.29701 | −0.648507 | − | 0.761209i | \(-0.724606\pi\) | ||||
−0.648507 | + | 0.761209i | \(0.724606\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −7.23607 | −0.686817 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 13.2361 | 1.24514 | 0.622572 | − | 0.782562i | \(-0.286088\pi\) | ||||
0.622572 | + | 0.782562i | \(0.286088\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −3.23607 | −0.301765 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −6.00000 | −0.554700 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 6.47214 | 0.593300 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.4164 | −0.946946 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 12.2361 | 1.10329 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 1.52786 | 0.136656 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 20.7082 | 1.83756 | 0.918778 | − | 0.394775i | \(-0.129177\pi\) | ||||
0.918778 | + | 0.394775i | \(0.129177\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 5.29180 | 0.462346 | 0.231173 | − | 0.972913i | \(-0.425744\pi\) | ||||
0.231173 | + | 0.972913i | \(0.425744\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.47214 | −0.214361 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −7.23607 | −0.622782 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 13.8885 | 1.18658 | 0.593289 | − | 0.804989i | \(-0.297829\pi\) | ||||
0.593289 | + | 0.804989i | \(0.297829\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.70820 | 0.229707 | 0.114853 | − | 0.993382i | \(-0.463360\pi\) | ||||
0.114853 | + | 0.993382i | \(0.463360\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −5.00000 | −0.421076 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 2.29180 | 0.191650 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 9.70820 | 0.806222 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −12.2361 | −1.00921 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 11.8885 | 0.973947 | 0.486974 | − | 0.873417i | \(-0.338101\pi\) | ||||
0.486974 | + | 0.873417i | \(0.338101\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.236068 | 0.0192109 | 0.00960547 | − | 0.999954i | \(-0.496942\pi\) | ||||
0.00960547 | + | 0.999954i | \(0.496942\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 10.4721 | 0.846622 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 21.7082 | 1.74364 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −15.4164 | −1.23036 | −0.615182 | − | 0.788385i | \(-0.710917\pi\) | ||||
−0.615182 | + | 0.788385i | \(0.710917\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 18.9443 | 1.50238 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −1.23607 | −0.0974158 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −10.2361 | −0.801751 | −0.400875 | − | 0.916133i | \(-0.631294\pi\) | ||||
−0.400875 | + | 0.916133i | \(0.631294\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −5.52786 | −0.430344 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −10.4721 | −0.810358 | −0.405179 | − | 0.914237i | \(-0.632791\pi\) | ||||
−0.405179 | + | 0.914237i | \(0.632791\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −4.00000 | −0.307692 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −4.00000 | −0.305888 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −5.05573 | −0.384380 | −0.192190 | − | 0.981358i | \(-0.561559\pi\) | ||||
−0.192190 | + | 0.981358i | \(0.561559\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 6.76393 | 0.511305 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −5.52786 | −0.415500 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −12.7082 | −0.949856 | −0.474928 | − | 0.880025i | \(-0.657526\pi\) | ||||
−0.474928 | + | 0.880025i | \(0.657526\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 14.6525 | 1.08911 | 0.544555 | − | 0.838725i | \(-0.316699\pi\) | ||||
0.544555 | + | 0.838725i | \(0.316699\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −24.4721 | −1.80903 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −10.4721 | −0.769927 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −4.00000 | −0.292509 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −2.76393 | −0.201046 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 3.81966 | 0.276381 | 0.138190 | − | 0.990406i | \(-0.455871\pi\) | ||||
0.138190 | + | 0.990406i | \(0.455871\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −7.94427 | −0.571841 | −0.285921 | − | 0.958253i | \(-0.592299\pi\) | ||||
−0.285921 | + | 0.958253i | \(0.592299\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −21.7082 | −1.55456 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −7.47214 | −0.532368 | −0.266184 | − | 0.963922i | \(-0.585763\pi\) | ||||
−0.266184 | + | 0.963922i | \(0.585763\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 25.7082 | 1.82241 | 0.911203 | − | 0.411957i | \(-0.135155\pi\) | ||||
0.911203 | + | 0.411957i | \(0.135155\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −16.1803 | −1.14127 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 3.70820 | 0.260265 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 17.7082 | 1.23679 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −2.00000 | −0.139010 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 1.52786 | 0.105685 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3.41641 | 0.235195 | 0.117598 | − | 0.993061i | \(-0.462481\pi\) | ||||
0.117598 | + | 0.993061i | \(0.462481\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −17.3607 | −1.18953 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 8.29180 | 0.562884 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 34.5967 | 2.33783 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −15.7082 | −1.05665 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −4.00000 | −0.267860 | −0.133930 | − | 0.990991i | \(-0.542760\pi\) | ||||
−0.133930 | + | 0.990991i | \(0.542760\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 10.9443 | 0.729618 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 10.1803 | 0.675693 | 0.337846 | − | 0.941201i | \(-0.390302\pi\) | ||||
0.337846 | + | 0.941201i | \(0.390302\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 12.0000 | 0.792982 | 0.396491 | − | 0.918039i | \(-0.370228\pi\) | ||||
0.396491 | + | 0.918039i | \(0.370228\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −2.11146 | −0.138924 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −15.4721 | −1.01361 | −0.506807 | − | 0.862060i | \(-0.669174\pi\) | ||||
−0.506807 | + | 0.862060i | \(0.669174\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −7.23607 | −0.472029 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −15.5279 | −1.00864 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −18.2361 | −1.17959 | −0.589797 | − | 0.807552i | \(-0.700792\pi\) | ||||
−0.589797 | + | 0.807552i | \(0.700792\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 17.1246 | 1.10309 | 0.551547 | − | 0.834144i | \(-0.314038\pi\) | ||||
0.551547 | + | 0.834144i | \(0.314038\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −17.8885 | −1.14755 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −17.7082 | −1.13134 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 6.00000 | 0.381771 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −29.5967 | −1.87562 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 15.7082 | 0.991493 | 0.495747 | − | 0.868467i | \(-0.334895\pi\) | ||||
0.495747 | + | 0.868467i | \(0.334895\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.763932 | 0.0480280 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 37.8885 | 2.37267 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 1.47214 | 0.0918293 | 0.0459147 | − | 0.998945i | \(-0.485380\pi\) | ||||
0.0459147 | + | 0.998945i | \(0.485380\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −4.00000 | −0.248548 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 6.00000 | 0.371391 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 14.9443 | 0.921503 | 0.460752 | − | 0.887529i | \(-0.347580\pi\) | ||||
0.460752 | + | 0.887529i | \(0.347580\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 27.4164 | 1.68418 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −3.41641 | −0.209081 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −9.94427 | −0.606313 | −0.303156 | − | 0.952941i | \(-0.598040\pi\) | ||||
−0.303156 | + | 0.952941i | \(0.598040\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −8.00000 | −0.485965 | −0.242983 | − | 0.970031i | \(-0.578126\pi\) | ||||
−0.242983 | + | 0.970031i | \(0.578126\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −8.29180 | −0.501842 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −4.18034 | −0.252084 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −6.52786 | −0.392221 | −0.196111 | − | 0.980582i | \(-0.562831\pi\) | ||||
−0.196111 | + | 0.980582i | \(0.562831\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 13.4164 | 0.803219 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −13.2361 | −0.789598 | −0.394799 | − | 0.918768i | \(-0.629186\pi\) | ||||
−0.394799 | + | 0.918768i | \(0.629186\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 14.2918 | 0.849559 | 0.424780 | − | 0.905297i | \(-0.360352\pi\) | ||||
0.424780 | + | 0.905297i | \(0.360352\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −14.4721 | −0.857255 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 6.76393 | 0.399262 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 10.4164 | 0.612730 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 9.59675 | 0.562571 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 10.4721 | 0.611789 | 0.305894 | − | 0.952065i | \(-0.401045\pi\) | ||||
0.305894 | + | 0.952065i | \(0.401045\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −8.00000 | −0.465778 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 1.70820 | 0.0991200 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 3.00000 | 0.173494 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 10.0000 | 0.574485 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −35.4164 | −2.02794 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 18.4721 | 1.05426 | 0.527130 | − | 0.849785i | \(-0.323268\pi\) | ||||
0.527130 | + | 0.849785i | \(0.323268\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −40.6525 | −2.31264 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 9.18034 | 0.520569 | 0.260285 | − | 0.965532i | \(-0.416184\pi\) | ||||
0.260285 | + | 0.965532i | \(0.416184\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −20.3607 | −1.15085 | −0.575427 | − | 0.817853i | \(-0.695164\pi\) | ||||
−0.575427 | + | 0.817853i | \(0.695164\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 8.00000 | 0.450749 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 1.41641 | 0.0795534 | 0.0397767 | − | 0.999209i | \(-0.487335\pi\) | ||||
0.0397767 | + | 0.999209i | \(0.487335\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −2.29180 | −0.128316 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −30.0000 | −1.67444 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −10.4721 | −0.582685 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −16.4164 | −0.910618 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −2.76393 | −0.152381 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 11.6525 | 0.640478 | 0.320239 | − | 0.947337i | \(-0.396237\pi\) | ||||
0.320239 | + | 0.947337i | \(0.396237\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −6.47214 | −0.354671 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −23.4164 | −1.27938 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3.41641 | −0.186104 | −0.0930518 | − | 0.995661i | \(-0.529662\pi\) | ||||
−0.0930518 | + | 0.995661i | \(0.529662\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 29.5967 | 1.60747 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −5.12461 | −0.277513 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −15.4164 | −0.832408 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −7.23607 | −0.389577 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 25.8885 | 1.38977 | 0.694885 | − | 0.719121i | \(-0.255455\pi\) | ||||
0.694885 | + | 0.719121i | \(0.255455\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 2.41641 | 0.129347 | 0.0646737 | − | 0.997906i | \(-0.479399\pi\) | ||||
0.0646737 | + | 0.997906i | \(0.479399\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 6.70820 | 0.358057 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −35.3607 | −1.88206 | −0.941030 | − | 0.338324i | \(-0.890140\pi\) | ||||
−0.941030 | + | 0.338324i | \(0.890140\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −25.1246 | −1.33348 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 14.4721 | 0.765947 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −15.8885 | −0.838565 | −0.419283 | − | 0.907856i | \(-0.637718\pi\) | ||||
−0.419283 | + | 0.907856i | \(0.637718\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −15.0000 | −0.789474 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −23.2918 | −1.22250 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 50.0689 | 2.62073 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −18.1803 | −0.949006 | −0.474503 | − | 0.880254i | \(-0.657372\pi\) | ||||
−0.474503 | + | 0.880254i | \(0.657372\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 10.9443 | 0.569736 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 10.4721 | 0.543686 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 5.70820 | 0.295560 | 0.147780 | − | 0.989020i | \(-0.452787\pi\) | ||||
0.147780 | + | 0.989020i | \(0.452787\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 3.41641 | 0.176423 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −9.00000 | −0.463524 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −20.3607 | −1.04586 | −0.522929 | − | 0.852376i | \(-0.675161\pi\) | ||||
−0.522929 | + | 0.852376i | \(0.675161\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 46.3050 | 2.37227 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −24.9443 | −1.27459 | −0.637296 | − | 0.770619i | \(-0.719947\pi\) | ||||
−0.637296 | + | 0.770619i | \(0.719947\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −3.05573 | −0.155734 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −34.4721 | −1.74781 | −0.873903 | − | 0.486100i | \(-0.838419\pi\) | ||||
−0.873903 | + | 0.486100i | \(0.838419\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −5.23607 | −0.264799 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 11.8328 | 0.596887 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −22.4721 | −1.13070 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.41641 | −0.121276 | −0.0606380 | − | 0.998160i | \(-0.519314\pi\) | ||||
−0.0606380 | + | 0.998160i | \(0.519314\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −5.52786 | −0.276739 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 8.18034 | 0.408507 | 0.204253 | − | 0.978918i | \(-0.434523\pi\) | ||||
0.204253 | + | 0.978918i | \(0.434523\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −20.1246 | −1.00248 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −35.5967 | −1.76882 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 2.47214 | 0.122539 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −23.3607 | −1.15511 | −0.577556 | − | 0.816351i | \(-0.695993\pi\) | ||||
−0.577556 | + | 0.816351i | \(0.695993\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 31.0557 | 1.53187 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −3.05573 | −0.150363 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −42.8328 | −2.10258 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 6.05573 | 0.296550 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −31.4164 | −1.53479 | −0.767396 | − | 0.641173i | \(-0.778448\pi\) | ||||
−0.767396 | + | 0.641173i | \(0.778448\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 23.7082 | 1.15547 | 0.577734 | − | 0.816225i | \(-0.303937\pi\) | ||||
0.577734 | + | 0.816225i | \(0.303937\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −4.47214 | −0.217443 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 28.6525 | 1.38985 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −13.5279 | −0.654659 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 5.12461 | 0.247419 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 26.4721 | 1.27512 | 0.637559 | − | 0.770402i | \(-0.279944\pi\) | ||||
0.637559 | + | 0.770402i | \(0.279944\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 40.1803 | 1.93094 | 0.965472 | − | 0.260507i | \(-0.0838897\pi\) | ||||
0.965472 | + | 0.260507i | \(0.0838897\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 21.7082 | 1.04083 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 2.00000 | 0.0956730 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 5.29180 | 0.252564 | 0.126282 | − | 0.991994i | \(-0.459696\pi\) | ||||
0.126282 | + | 0.991994i | \(0.459696\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −10.9443 | −0.521156 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −2.12461 | −0.100943 | −0.0504717 | − | 0.998725i | \(-0.516072\pi\) | ||||
−0.0504717 | + | 0.998725i | \(0.516072\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −4.94427 | −0.234381 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 26.5836 | 1.25736 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 2.94427 | 0.138949 | 0.0694744 | − | 0.997584i | \(-0.477868\pi\) | ||||
0.0694744 | + | 0.997584i | \(0.477868\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −4.18034 | −0.196845 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0.527864 | 0.0248012 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −12.0000 | −0.562569 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 35.1246 | 1.64306 | 0.821530 | − | 0.570165i | \(-0.193121\pi\) | ||||
0.821530 | + | 0.570165i | \(0.193121\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −11.7082 | −0.546492 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −7.47214 | −0.348012 | −0.174006 | − | 0.984745i | \(-0.555671\pi\) | ||||
−0.174006 | + | 0.984745i | \(0.555671\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 20.0000 | 0.929479 | 0.464739 | − | 0.885448i | \(-0.346148\pi\) | ||||
0.464739 | + | 0.885448i | \(0.346148\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 48.5410 | 2.25104 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −30.9443 | −1.43193 | −0.715965 | − | 0.698136i | \(-0.754013\pi\) | ||||
−0.715965 | + | 0.698136i | \(0.754013\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −8.94427 | −0.413008 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −34.4721 | −1.58839 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −10.9443 | −0.502158 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 16.9443 | 0.775825 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 17.5967 | 0.804016 | 0.402008 | − | 0.915636i | \(-0.368312\pi\) | ||||
0.402008 | + | 0.915636i | \(0.368312\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 9.70820 | 0.442656 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −2.76393 | −0.125763 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 13.8885 | 0.630646 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 1.29180 | 0.0585369 | 0.0292684 | − | 0.999572i | \(-0.490682\pi\) | ||||
0.0292684 | + | 0.999572i | \(0.490682\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −22.8885 | −1.03506 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 39.6525 | 1.78949 | 0.894746 | − | 0.446576i | \(-0.147357\pi\) | ||||
0.894746 | + | 0.446576i | \(0.147357\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 15.7082 | 0.707462 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −4.94427 | −0.222228 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −9.59675 | −0.430473 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 32.7082 | 1.46422 | 0.732110 | − | 0.681186i | \(-0.238536\pi\) | ||||
0.732110 | + | 0.681186i | \(0.238536\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −23.4164 | −1.04617 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 9.05573 | 0.403775 | 0.201887 | − | 0.979409i | \(-0.435292\pi\) | ||||
0.201887 | + | 0.979409i | \(0.435292\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 14.4721 | 0.644002 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −8.94427 | −0.397229 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −34.3050 | −1.52054 | −0.760270 | − | 0.649607i | \(-0.774933\pi\) | ||||
−0.760270 | + | 0.649607i | \(0.774933\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 19.1246 | 0.846023 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 4.47214 | 0.197450 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −58.8328 | −2.59248 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 1.70820 | 0.0751267 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −11.3050 | −0.496232 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 4.58359 | 0.200811 | 0.100405 | − | 0.994947i | \(-0.467986\pi\) | ||||
0.100405 | + | 0.994947i | \(0.467986\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 0.875388 | 0.0382781 | 0.0191390 | − | 0.999817i | \(-0.493907\pi\) | ||||
0.0191390 | + | 0.999817i | \(0.493907\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 15.1246 | 0.660092 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 35.1246 | 1.53005 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 1.00000 | 0.0434783 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −4.94427 | −0.214563 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −16.4164 | −0.711074 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −43.4164 | −1.87705 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −28.4164 | −1.22626 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 4.18034 | 0.180060 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 7.58359 | 0.326044 | 0.163022 | − | 0.986622i | \(-0.447876\pi\) | ||||
0.163022 | + | 0.986622i | \(0.447876\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 32.7639 | 1.40603 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 37.5410 | 1.60514 | 0.802569 | − | 0.596559i | \(-0.203466\pi\) | ||||
0.802569 | + | 0.596559i | \(0.203466\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −21.8885 | −0.934180 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −6.00000 | −0.255609 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −8.58359 | −0.365011 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −23.4164 | −0.993971 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −19.4164 | −0.822700 | −0.411350 | − | 0.911478i | \(-0.634943\pi\) | ||||
−0.411350 | + | 0.911478i | \(0.634943\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −8.94427 | −0.377627 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −15.0557 | −0.634523 | −0.317262 | − | 0.948338i | \(-0.602763\pi\) | ||||
−0.317262 | + | 0.948338i | \(0.602763\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 42.8328 | 1.80199 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −13.5967 | −0.571010 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 0.180340 | 0.00756024 | 0.00378012 | − | 0.999993i | \(-0.498797\pi\) | ||||
0.00378012 | + | 0.999993i | \(0.498797\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −27.7082 | −1.15955 | −0.579776 | − | 0.814776i | \(-0.696860\pi\) | ||||
−0.579776 | + | 0.814776i | \(0.696860\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 8.54102 | 0.356806 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −5.47214 | −0.228204 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −12.8885 | −0.536557 | −0.268279 | − | 0.963341i | \(-0.586455\pi\) | ||||
−0.268279 | + | 0.963341i | \(0.586455\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −17.7639 | −0.738244 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −16.3607 | −0.678755 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −6.47214 | −0.268048 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −19.4164 | −0.802770 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −11.2918 | −0.466062 | −0.233031 | − | 0.972469i | \(-0.574864\pi\) | ||||
−0.233031 | + | 0.972469i | \(0.574864\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −13.4164 | −0.552813 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −16.7082 | −0.687284 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 14.9443 | 0.613688 | 0.306844 | − | 0.951760i | \(-0.400727\pi\) | ||||
0.306844 | + | 0.951760i | \(0.400727\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 20.9443 | 0.858631 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 57.4853 | 2.35272 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 1.88854 | 0.0771638 | 0.0385819 | − | 0.999255i | \(-0.487716\pi\) | ||||
0.0385819 | + | 0.999255i | \(0.487716\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 11.1115 | 0.453246 | 0.226623 | − | 0.973983i | \(-0.427232\pi\) | ||||
0.226623 | + | 0.973983i | \(0.427232\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −14.4721 | −0.589351 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −33.7082 | −1.37043 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −17.5279 | −0.711434 | −0.355717 | − | 0.934594i | \(-0.615763\pi\) | ||||
−0.355717 | + | 0.934594i | \(0.615763\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 8.29180 | 0.336001 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 6.70820 | 0.271385 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 7.70820 | 0.311331 | 0.155666 | − | 0.987810i | \(-0.450248\pi\) | ||||
0.155666 | + | 0.987810i | \(0.450248\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 39.5967 | 1.59669 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −16.4721 | −0.663143 | −0.331572 | − | 0.943430i | \(-0.607579\pi\) | ||||
−0.331572 | + | 0.943430i | \(0.607579\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −7.41641 | −0.298091 | −0.149045 | − | 0.988830i | \(-0.547620\pi\) | ||||
−0.149045 | + | 0.988830i | \(0.547620\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 2.23607 | 0.0897303 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −1.88854 | −0.0756629 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −22.4164 | −0.896656 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 3.41641 | 0.136438 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −16.9443 | −0.675612 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 32.3607 | 1.28826 | 0.644129 | − | 0.764917i | \(-0.277220\pi\) | ||||
0.644129 | + | 0.764917i | \(0.277220\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 7.63932 | 0.303636 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 67.0132 | 2.65934 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 16.4164 | 0.650442 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −15.5279 | −0.614273 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 45.3050 | 1.78944 | 0.894719 | − | 0.446629i | \(-0.147376\pi\) | ||||
0.894719 | + | 0.446629i | \(0.147376\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 19.5967 | 0.772820 | 0.386410 | − | 0.922327i | \(-0.373715\pi\) | ||||
0.386410 | + | 0.922327i | \(0.373715\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 6.70820 | 0.263727 | 0.131863 | − | 0.991268i | \(-0.457904\pi\) | ||||
0.131863 | + | 0.991268i | \(0.457904\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1.88854 | 0.0741318 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 18.5410 | 0.726680 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −24.3050 | −0.951126 | −0.475563 | − | 0.879682i | \(-0.657756\pi\) | ||||
−0.475563 | + | 0.879682i | \(0.657756\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 17.1246 | 0.669114 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 30.9443 | 1.20725 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 20.6525 | 0.804506 | 0.402253 | − | 0.915528i | \(-0.368227\pi\) | ||||
0.402253 | + | 0.915528i | \(0.368227\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 5.05573 | 0.196645 | 0.0983225 | − | 0.995155i | \(-0.468652\pi\) | ||||
0.0983225 | + | 0.995155i | \(0.468652\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −35.1246 | −1.36413 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −8.00000 | −0.310227 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −3.00000 | −0.116160 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −8.94427 | −0.345806 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 8.36068 | 0.322760 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 3.00000 | 0.115642 | 0.0578208 | − | 0.998327i | \(-0.481585\pi\) | ||||
0.0578208 | + | 0.998327i | \(0.481585\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −12.2361 | −0.470966 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −18.0000 | −0.691796 | −0.345898 | − | 0.938272i | \(-0.612426\pi\) | ||||
−0.345898 | + | 0.938272i | \(0.612426\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 5.30495 | 0.203585 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 22.7639 | 0.872316 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −22.5967 | −0.864641 | −0.432320 | − | 0.901720i | \(-0.642305\pi\) | ||||
−0.432320 | + | 0.901720i | \(0.642305\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 44.9443 | 1.71723 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 26.8328 | 1.02374 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −25.4164 | −0.968288 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 24.9443 | 0.948925 | 0.474462 | − | 0.880276i | \(-0.342642\pi\) | ||||
0.474462 | + | 0.880276i | \(0.342642\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −1.88854 | −0.0717398 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 8.76393 | 0.332435 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 28.6525 | 1.08529 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −34.5967 | −1.30857 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 26.1803 | 0.988818 | 0.494409 | − | 0.869229i | \(-0.335385\pi\) | ||||
0.494409 | + | 0.869229i | \(0.335385\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 6.47214 | 0.244101 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −16.1803 | −0.609387 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 5.52786 | 0.207897 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −16.0689 | −0.603480 | −0.301740 | − | 0.953390i | \(-0.597567\pi\) | ||||
−0.301740 | + | 0.953390i | \(0.597567\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −13.8885 | −0.520861 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −6.70820 | −0.251224 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 7.41641 | 0.277358 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −40.7771 | −1.52285 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 20.9443 | 0.781090 | 0.390545 | − | 0.920584i | \(-0.372287\pi\) | ||||
0.390545 | + | 0.920584i | \(0.372287\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −22.4721 | −0.836906 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 38.2918 | 1.42409 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 16.4164 | 0.609690 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 14.2918 | 0.530053 | 0.265027 | − | 0.964241i | \(-0.414619\pi\) | ||||
0.265027 | + | 0.964241i | \(0.414619\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −7.00000 | −0.259259 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0 | 0 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 26.7639 | 0.988548 | 0.494274 | − | 0.869306i | \(-0.335434\pi\) | ||||
0.494274 | + | 0.869306i | \(0.335434\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −39.5967 | −1.46055 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 5.52786 | 0.203621 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 49.1803 | 1.80913 | 0.904564 | − | 0.426338i | \(-0.140197\pi\) | ||||
0.904564 | + | 0.426338i | \(0.140197\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 13.4164 | 0.492864 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −0.875388 | −0.0321149 | −0.0160574 | − | 0.999871i | \(-0.505111\pi\) | ||||
−0.0160574 | + | 0.999871i | \(0.505111\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 38.4721 | 1.40951 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −26.4721 | −0.968565 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −16.5836 | −0.605951 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 44.3607 | 1.61874 | 0.809372 | − | 0.587296i | \(-0.199808\pi\) | ||||
0.809372 | + | 0.587296i | \(0.199808\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 35.1246 | 1.28001 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0.763932 | 0.0278023 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 47.5967 | 1.72993 | 0.864967 | − | 0.501829i | \(-0.167339\pi\) | ||||
0.864967 | + | 0.501829i | \(0.167339\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 1.70820 | 0.0620039 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −16.3050 | −0.591054 | −0.295527 | − | 0.955334i | \(-0.595495\pi\) | ||||
−0.295527 | + | 0.955334i | \(0.595495\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 33.8885 | 1.22524 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 7.41641 | 0.267791 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 17.1246 | 0.617529 | 0.308765 | − | 0.951138i | \(-0.400084\pi\) | ||||
0.308765 | + | 0.951138i | \(0.400084\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 3.29180 | 0.118551 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 14.4721 | 0.520527 | 0.260263 | − | 0.965538i | \(-0.416191\pi\) | ||||
0.260263 | + | 0.965538i | \(0.416191\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 36.7082 | 1.31860 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −8.94427 | −0.320874 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −10.9443 | −0.392119 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 5.93112 | 0.212232 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −6.70820 | −0.239732 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −49.8885 | −1.78060 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 51.4164 | 1.83280 | 0.916399 | − | 0.400267i | \(-0.131083\pi\) | ||||
0.916399 | + | 0.400267i | \(0.131083\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 33.4164 | 1.18966 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 16.3607 | 0.581719 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 32.8328 | 1.16593 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 61.3050 | 2.17426 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −10.3607 | −0.366994 | −0.183497 | − | 0.983020i | \(-0.558742\pi\) | ||||
−0.183497 | + | 0.983020i | \(0.558742\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −11.7082 | −0.414206 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −3.05573 | −0.107969 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −11.8197 | −0.417107 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −4.00000 | −0.140981 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −22.2361 | −0.782747 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 47.8885 | 1.68367 | 0.841836 | − | 0.539734i | \(-0.181475\pi\) | ||||
0.841836 | + | 0.539734i | \(0.181475\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −55.6525 | −1.95422 | −0.977111 | − | 0.212728i | \(-0.931765\pi\) | ||||
−0.977111 | + | 0.212728i | \(0.931765\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −17.8885 | −0.627379 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −33.1246 | −1.16030 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −7.41641 | −0.259150 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 21.0557 | 0.734850 | 0.367425 | − | 0.930053i | \(-0.380239\pi\) | ||||
0.367425 | + | 0.930053i | \(0.380239\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −27.5410 | −0.960020 | −0.480010 | − | 0.877263i | \(-0.659367\pi\) | ||||
−0.480010 | + | 0.877263i | \(0.659367\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −9.34752 | −0.325439 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 10.4721 | 0.364152 | 0.182076 | − | 0.983284i | \(-0.441718\pi\) | ||||
0.182076 | + | 0.983284i | \(0.441718\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 40.2492 | 1.39791 | 0.698957 | − | 0.715164i | \(-0.253648\pi\) | ||||
0.698957 | + | 0.715164i | \(0.253648\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −14.5967 | −0.506356 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −28.6525 | −0.992749 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −33.8885 | −1.17276 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −15.0000 | −0.518476 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 0.875388 | 0.0302218 | 0.0151109 | − | 0.999886i | \(-0.495190\pi\) | ||||
0.0151109 | + | 0.999886i | \(0.495190\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −20.0000 | −0.689655 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −29.5967 | −1.01937 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −12.9443 | −0.445296 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −12.8754 | −0.442404 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 31.9574 | 1.09678 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 3.23607 | 0.110931 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 37.4164 | 1.28111 | 0.640557 | − | 0.767911i | \(-0.278704\pi\) | ||||
0.640557 | + | 0.767911i | \(0.278704\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −12.9443 | −0.442685 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −7.47214 | −0.255243 | −0.127622 | − | 0.991823i | \(-0.540734\pi\) | ||||
−0.127622 | + | 0.991823i | \(0.540734\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −3.29180 | −0.112315 | −0.0561573 | − | 0.998422i | \(-0.517885\pi\) | ||||
−0.0561573 | + | 0.998422i | \(0.517885\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 15.1246 | 0.515445 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −45.5410 | −1.55023 | −0.775117 | − | 0.631818i | \(-0.782309\pi\) | ||||
−0.775117 | + | 0.631818i | \(0.782309\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −16.3607 | −0.556280 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 23.2918 | 0.791031 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 5.30495 | 0.179958 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 21.7082 | 0.735554 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 8.58359 | 0.290511 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 1.88854 | 0.0638444 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 27.5279 | 0.929550 | 0.464775 | − | 0.885429i | \(-0.346135\pi\) | ||||
0.464775 | + | 0.885429i | \(0.346135\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 23.4164 | 0.789816 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 21.8197 | 0.735123 | 0.367562 | − | 0.929999i | \(-0.380193\pi\) | ||||
0.367562 | + | 0.929999i | \(0.380193\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 4.00000 | 0.134611 | 0.0673054 | − | 0.997732i | \(-0.478560\pi\) | ||||
0.0673054 | + | 0.997732i | \(0.478560\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −17.8885 | −0.601317 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 35.0689 | 1.17750 | 0.588749 | − | 0.808316i | \(-0.299621\pi\) | ||||
0.588749 | + | 0.808316i | \(0.299621\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 25.5967 | 0.858487 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 8.40325 | 0.281520 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 4.47214 | 0.149654 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −41.1246 | −1.37464 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 6.70820 | 0.223980 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 20.1246 | 0.671193 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 44.3607 | 1.47787 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 47.4164 | 1.57617 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 40.2492 | 1.33645 | 0.668227 | − | 0.743958i | \(-0.267054\pi\) | ||||
0.668227 | + | 0.743958i | \(0.267054\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 8.94427 | 0.296663 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 31.3050 | 1.03718 | 0.518590 | − | 0.855023i | \(-0.326457\pi\) | ||||
0.518590 | + | 0.855023i | \(0.326457\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 10.1115 | 0.334640 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −79.1935 | −2.61806 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 6.54102 | 0.216003 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −0.875388 | −0.0288764 | −0.0144382 | − | 0.999896i | \(-0.504596\pi\) | ||||
−0.0144382 | + | 0.999896i | \(0.504596\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 41.3050 | 1.36104 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 23.2918 | 0.766659 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −17.7082 | −0.582242 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −36.3607 | −1.19424 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −41.9443 | −1.37615 | −0.688073 | − | 0.725641i | \(-0.741543\pi\) | ||||
−0.688073 | + | 0.725641i | \(0.741543\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 10.9443 | 0.358684 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 20.5279 | 0.672052 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −12.9443 | −0.423323 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 11.8197 | 0.386131 | 0.193066 | − | 0.981186i | \(-0.438157\pi\) | ||||
0.193066 | + | 0.981186i | \(0.438157\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −45.5279 | −1.48575 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 24.6525 | 0.803648 | 0.401824 | − | 0.915717i | \(-0.368376\pi\) | ||||
0.401824 | + | 0.915717i | \(0.368376\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −5.47214 | −0.178197 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −8.94427 | −0.290957 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −33.1803 | −1.07822 | −0.539108 | − | 0.842237i | \(-0.681239\pi\) | ||||
−0.539108 | + | 0.842237i | \(0.681239\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −46.4164 | −1.50674 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 3.16718 | 0.102703 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 11.5279 | 0.373424 | 0.186712 | − | 0.982415i | \(-0.440217\pi\) | ||||
0.186712 | + | 0.982415i | \(0.440217\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 12.3607 | 0.399982 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −5.12461 | −0.165655 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 17.1672 | 0.554357 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 14.0000 | 0.451613 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −26.8328 | −0.864675 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −25.7082 | −0.827576 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 39.5410 | 1.27155 | 0.635777 | − | 0.771873i | \(-0.280680\pi\) | ||||
0.635777 | + | 0.771873i | \(0.280680\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −23.4164 | −0.752243 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 7.52786 | 0.241581 | 0.120790 | − | 0.992678i | \(-0.461457\pi\) | ||||
0.120790 | + | 0.992678i | \(0.461457\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 3.34752 | 0.107317 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −36.7082 | −1.17560 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −54.6525 | −1.74849 | −0.874244 | − | 0.485487i | \(-0.838642\pi\) | ||||
−0.874244 | + | 0.485487i | \(0.838642\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1.16718 | 0.0373034 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 31.5279 | 1.00558 | 0.502791 | − | 0.864408i | \(-0.332306\pi\) | ||||
0.502791 | + | 0.864408i | \(0.332306\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −24.1803 | −0.770450 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −6.18034 | −0.196722 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 0 | 0 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −24.0000 | −0.762385 | −0.381193 | − | 0.924496i | \(-0.624487\pi\) | ||||
−0.381193 | + | 0.924496i | \(0.624487\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 26.0557 | 0.826854 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 83.1935 | 2.63741 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 36.8328 | 1.16651 | 0.583253 | − | 0.812290i | \(-0.301779\pi\) | ||||
0.583253 | + | 0.812290i | \(0.301779\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 7.23607 | 0.228939 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))