Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,6,Mod(1,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0, 0]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.1");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.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: | \(92.3810802123\) |
Analytic rank: | \(0\) |
Dimension: | \(1\) |
Coefficient field: | \(\mathbb{Q}\) |
Coefficient ring: | \(\mathbb{Z}\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 24) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.1 | ||
Character | \(\chi\) | \(=\) | 576.1 |
$q$-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 | 0 | ||||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 94.0000 | 1.68152 | 0.840762 | − | 0.541406i | \(-0.182108\pi\) | ||||
0.840762 | + | 0.541406i | \(0.182108\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 144.000 | 1.11075 | 0.555376 | − | 0.831599i | \(-0.312574\pi\) | ||||
0.555376 | + | 0.831599i | \(0.312574\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −380.000 | −0.946895 | −0.473448 | − | 0.880822i | \(-0.656991\pi\) | ||||
−0.473448 | + | 0.880822i | \(0.656991\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −814.000 | −1.33588 | −0.667938 | − | 0.744217i | \(-0.732823\pi\) | ||||
−0.667938 | + | 0.744217i | \(0.732823\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 862.000 | 0.723411 | 0.361705 | − | 0.932292i | \(-0.382195\pi\) | ||||
0.361705 | + | 0.932292i | \(0.382195\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1156.00 | 0.734639 | 0.367319 | − | 0.930095i | \(-0.380276\pi\) | ||||
0.367319 | + | 0.930095i | \(0.380276\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 488.000 | 0.192354 | 0.0961768 | − | 0.995364i | \(-0.469339\pi\) | ||||
0.0961768 | + | 0.995364i | \(0.469339\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 5711.00 | 1.82752 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −5466.00 | −1.20691 | −0.603455 | − | 0.797397i | \(-0.706210\pi\) | ||||
−0.603455 | + | 0.797397i | \(0.706210\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 9560.00 | 1.78671 | 0.893354 | − | 0.449353i | \(-0.148346\pi\) | ||||
0.893354 | + | 0.449353i | \(0.148346\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 13536.0 | 1.86776 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 10506.0 | 1.26163 | 0.630817 | − | 0.775932i | \(-0.282720\pi\) | ||||
0.630817 | + | 0.775932i | \(0.282720\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 5190.00 | 0.482178 | 0.241089 | − | 0.970503i | \(-0.422495\pi\) | ||||
0.241089 | + | 0.970503i | \(0.422495\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 17084.0 | 1.40902 | 0.704512 | − | 0.709692i | \(-0.251166\pi\) | ||||
0.704512 | + | 0.709692i | \(0.251166\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −3168.00 | −0.209190 | −0.104595 | − | 0.994515i | \(-0.533355\pi\) | ||||
−0.104595 | + | 0.994515i | \(0.533355\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3929.00 | 0.233772 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −24770.0 | −1.21126 | −0.605629 | − | 0.795747i | \(-0.707078\pi\) | ||||
−0.605629 | + | 0.795747i | \(0.707078\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −35720.0 | −1.59223 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 17380.0 | 0.650010 | 0.325005 | − | 0.945712i | \(-0.394634\pi\) | ||||
0.325005 | + | 0.945712i | \(0.394634\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4366.00 | −0.150231 | −0.0751154 | − | 0.997175i | \(-0.523933\pi\) | ||||
−0.0751154 | + | 0.997175i | \(0.523933\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −76516.0 | −2.24631 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5284.00 | 0.143806 | 0.0719028 | − | 0.997412i | \(-0.477093\pi\) | ||||
0.0719028 | + | 0.997412i | \(0.477093\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −8360.00 | −0.196816 | −0.0984080 | − | 0.995146i | \(-0.531375\pi\) | ||||
−0.0984080 | + | 0.995146i | \(0.531375\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 39466.0 | 0.866794 | 0.433397 | − | 0.901203i | \(-0.357315\pi\) | ||||
0.433397 | + | 0.901203i | \(0.357315\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −54720.0 | −1.05177 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 42376.0 | 0.763928 | 0.381964 | − | 0.924177i | \(-0.375248\pi\) | ||||
0.381964 | + | 0.924177i | \(0.375248\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −61828.0 | −0.985122 | −0.492561 | − | 0.870278i | \(-0.663939\pi\) | ||||
−0.492561 | + | 0.870278i | \(0.663939\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 81028.0 | 1.21643 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 63078.0 | 0.844117 | 0.422059 | − | 0.906568i | \(-0.361308\pi\) | ||||
0.422059 | + | 0.906568i | \(0.361308\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −117216. | −1.48383 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 108664. | 1.23531 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −16318.0 | −0.176091 | −0.0880456 | − | 0.996116i | \(-0.528062\pi\) | ||||
−0.0880456 | + | 0.996116i | \(0.528062\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 134766. | 1.31455 | 0.657275 | − | 0.753651i | \(-0.271709\pi\) | ||||
0.657275 | + | 0.753651i | \(0.271709\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 45184.0 | 0.419654 | 0.209827 | − | 0.977739i | \(-0.432710\pi\) | ||||
0.209827 | + | 0.977739i | \(0.432710\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 143124. | 1.20852 | 0.604259 | − | 0.796788i | \(-0.293469\pi\) | ||||
0.604259 | + | 0.796788i | \(0.293469\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −153070. | −1.23402 | −0.617012 | − | 0.786953i | \(-0.711657\pi\) | ||||
−0.617012 | + | 0.786953i | \(0.711657\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 64494.0 | 0.475142 | 0.237571 | − | 0.971370i | \(-0.423649\pi\) | ||||
0.237571 | + | 0.971370i | \(0.423649\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 45872.0 | 0.323447 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 124128. | 0.803530 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −16651.0 | −0.103390 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 243084. | 1.39149 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 33256.0 | 0.182962 | 0.0914810 | − | 0.995807i | \(-0.470840\pi\) | ||||
0.0914810 | + | 0.995807i | \(0.470840\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −149284. | −0.760038 | −0.380019 | − | 0.924979i | \(-0.624082\pi\) | ||||
−0.380019 | + | 0.924979i | \(0.624082\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 166464. | 0.816002 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −148602. | −0.676431 | −0.338215 | − | 0.941069i | \(-0.609823\pi\) | ||||
−0.338215 | + | 0.941069i | \(0.609823\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 324012. | 1.42241 | 0.711204 | − | 0.702986i | \(-0.248150\pi\) | ||||
0.711204 | + | 0.702986i | \(0.248150\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 309320. | 1.26493 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −513804. | −2.02945 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −59986.0 | −0.221352 | −0.110676 | − | 0.993857i | \(-0.535302\pi\) | ||||
−0.110676 | + | 0.993857i | \(0.535302\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 91520.0 | 0.326643 | 0.163322 | − | 0.986573i | \(-0.447779\pi\) | ||||
0.163322 | + | 0.986573i | \(0.447779\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 898640. | 3.00439 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −345550. | −1.11882 | −0.559412 | − | 0.828890i | \(-0.688973\pi\) | ||||
−0.559412 | + | 0.828890i | \(0.688973\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 70272.0 | 0.213657 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 634164. | 1.86953 | 0.934765 | − | 0.355266i | \(-0.115610\pi\) | ||||
0.934765 | + | 0.355266i | \(0.115610\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 415848. | 1.15383 | 0.576917 | − | 0.816803i | \(-0.304256\pi\) | ||||
0.576917 | + | 0.816803i | \(0.304256\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 291303. | 0.784564 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −324282. | −0.823773 | −0.411887 | − | 0.911235i | \(-0.635130\pi\) | ||||
−0.411887 | + | 0.911235i | \(0.635130\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 822384. | 2.02992 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 606828. | 1.41558 | 0.707788 | − | 0.706425i | \(-0.249693\pi\) | ||||
0.707788 | + | 0.706425i | \(0.249693\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −463254. | −1.05105 | −0.525524 | − | 0.850779i | \(-0.676131\pi\) | ||||
−0.525524 | + | 0.850779i | \(0.676131\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 987564. | 2.12147 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −327560. | −0.684994 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −955008. | −1.89419 | −0.947095 | − | 0.320953i | \(-0.895997\pi\) | ||||
−0.947095 | + | 0.320953i | \(0.895997\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −256126. | −0.494949 | −0.247474 | − | 0.968894i | \(-0.579601\pi\) | ||||
−0.247474 | + | 0.968894i | \(0.579601\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 111150. | 0.204053 | 0.102027 | − | 0.994782i | \(-0.467467\pi\) | ||||
0.102027 | + | 0.994782i | \(0.467467\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −516800. | −0.925102 | −0.462551 | − | 0.886593i | \(-0.653066\pi\) | ||||
−0.462551 | + | 0.886593i | \(0.653066\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −787104. | −1.34058 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 487860. | 0.810794 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −439280. | −0.695626 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −400972. | −0.620023 | −0.310012 | − | 0.950733i | \(-0.600333\pi\) | ||||
−0.310012 | + | 0.950733i | \(0.600333\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 1.60590e6 | 2.36931 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.37664e6 | 1.98459 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −701668. | −0.966387 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −206168. | −0.277625 | −0.138813 | − | 0.990319i | \(-0.544329\pi\) | ||||
−0.138813 | + | 0.990319i | \(0.544329\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 363468. | 0.468168 | 0.234084 | − | 0.972216i | \(-0.424791\pi\) | ||||
0.234084 | + | 0.972216i | \(0.424791\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 589274. | 0.742555 | 0.371277 | − | 0.928522i | \(-0.378920\pi\) | ||||
0.371277 | + | 0.928522i | \(0.378920\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −730090. | −0.881022 | −0.440511 | − | 0.897747i | \(-0.645203\pi\) | ||||
−0.440511 | + | 0.897747i | \(0.645203\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −297792. | −0.351758 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −472496. | −0.535061 | −0.267531 | − | 0.963549i | \(-0.586208\pi\) | ||||
−0.267531 | + | 0.963549i | \(0.586208\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 993042. | 1.10135 | 0.550675 | − | 0.834720i | \(-0.314371\pi\) | ||||
0.550675 | + | 0.834720i | \(0.314371\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 369326. | 0.393092 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −940984. | −0.981386 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 1.93653e6 | 1.94017 | 0.970086 | − | 0.242760i | \(-0.0780528\pi\) | ||||
0.970086 | + | 0.242760i | \(0.0780528\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −185440. | −0.182139 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −735746. | −0.694856 | −0.347428 | − | 0.937707i | \(-0.612945\pi\) | ||||
−0.347428 | + | 0.937707i | \(0.612945\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.51286e6 | 1.40136 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 542984. | 0.484058 | 0.242029 | − | 0.970269i | \(-0.422187\pi\) | ||||
0.242029 | + | 0.970269i | \(0.422187\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −2.32838e6 | −2.03676 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 438614. | 0.369574 | 0.184787 | − | 0.982779i | \(-0.440840\pi\) | ||||
0.184787 | + | 0.982779i | \(0.440840\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 644408. | 0.533013 | 0.266506 | − | 0.963833i | \(-0.414131\pi\) | ||||
0.266506 | + | 0.963833i | \(0.414131\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −2.17018e6 | −1.73047 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.41953e6 | 1.11159 | 0.555796 | − | 0.831319i | \(-0.312414\pi\) | ||||
0.555796 | + | 0.831319i | \(0.312414\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −645242. | −0.487480 | −0.243740 | − | 0.969841i | \(-0.578374\pi\) | ||||
−0.243740 | + | 0.969841i | \(0.578374\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −1.93696e6 | −1.43766 | −0.718829 | − | 0.695187i | \(-0.755321\pi\) | ||||
−0.718829 | + | 0.695187i | \(0.755321\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 747360. | 0.535581 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −676813. | −0.476677 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −1.65429e6 | −1.12575 | −0.562876 | − | 0.826541i | \(-0.690305\pi\) | ||||
−0.562876 | + | 0.826541i | \(0.690305\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.63372e6 | 1.09301 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −397232. | −0.256960 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.46010e6 | 1.56508 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −410404. | −0.252617 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 2.78236e6 | 1.68487 | 0.842436 | − | 0.538797i | \(-0.181121\pi\) | ||||
0.842436 | + | 0.538797i | \(0.181121\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −1.00510e6 | −0.589259 | −0.294630 | − | 0.955611i | \(-0.595196\pi\) | ||||
−0.294630 | + | 0.955611i | \(0.595196\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 535386. | 0.308892 | 0.154446 | − | 0.988001i | \(-0.450641\pi\) | ||||
0.154446 | + | 0.988001i | \(0.450641\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 2.96266e6 | 1.65590 | 0.827950 | − | 0.560802i | \(-0.189507\pi\) | ||||
0.827950 | + | 0.560802i | \(0.189507\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 2.07708e6 | 1.14282 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 996472. | 0.531446 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −4.64875e6 | −2.44134 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −456192. | −0.232358 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.55935e6 | −0.782300 | −0.391150 | − | 0.920327i | \(-0.627923\pi\) | ||||
−0.391150 | + | 0.920327i | \(0.627923\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 496696. | 0.241812 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 3.61557e6 | 1.73421 | 0.867106 | − | 0.498124i | \(-0.165978\pi\) | ||||
0.867106 | + | 0.498124i | \(0.165978\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −3.63280e6 | −1.69183 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −1.85443e6 | −0.851090 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −1.76488e6 | −0.786847 | −0.393424 | − | 0.919357i | \(-0.628709\pi\) | ||||
−0.393424 | + | 0.919357i | \(0.628709\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −553134. | −0.243090 | −0.121545 | − | 0.992586i | \(-0.538785\pi\) | ||||
−0.121545 | + | 0.992586i | \(0.538785\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 1.17408e6 | 0.501488 | 0.250744 | − | 0.968053i | \(-0.419325\pi\) | ||||
0.250744 | + | 0.968053i | \(0.419325\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −785840. | −0.330951 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 1.18975e6 | 0.487215 | 0.243607 | − | 0.969874i | \(-0.421669\pi\) | ||||
0.243607 | + | 0.969874i | \(0.421669\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −1.13976e6 | −0.460306 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 3.70980e6 | 1.45753 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −1.35327e6 | −0.524469 | −0.262235 | − | 0.965004i | \(-0.584459\pi\) | ||||
−0.262235 | + | 0.965004i | \(0.584459\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −3.56688e6 | −1.34541 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −2.79306e6 | −1.03946 | −0.519731 | − | 0.854330i | \(-0.673968\pi\) | ||||
−0.519731 | + | 0.854330i | \(0.673968\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 4.44932e6 | 1.61228 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 3.37304e6 | 1.20621 | 0.603105 | − | 0.797662i | \(-0.293930\pi\) | ||||
0.603105 | + | 0.797662i | \(0.293930\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −4.72781e6 | −1.64688 | −0.823442 | − | 0.567401i | \(-0.807949\pi\) | ||||
−0.823442 | + | 0.567401i | \(0.807949\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −5.14368e6 | −1.76857 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 188254. | 0.0630769 | 0.0315384 | − | 0.999503i | \(-0.489959\pi\) | ||||
0.0315384 | + | 0.999503i | \(0.489959\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 420656. | 0.139151 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 3.98334e6 | 1.28456 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 524578. | 0.167045 | 0.0835226 | − | 0.996506i | \(-0.473383\pi\) | ||||
0.0835226 | + | 0.996506i | \(0.473383\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 3.08653e6 | 0.958537 | 0.479269 | − | 0.877668i | \(-0.340902\pi\) | ||||
0.479269 | + | 0.877668i | \(0.340902\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −7.78184e6 | −2.38682 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −3.99228e6 | −1.19463 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −4.60196e6 | −1.36030 | −0.680150 | − | 0.733073i | \(-0.738085\pi\) | ||||
−0.680150 | + | 0.733073i | \(0.738085\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 2.50272e6 | 0.722000 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −5.81183e6 | −1.65651 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 2.09492e6 | 0.582953 | 0.291476 | − | 0.956578i | \(-0.405854\pi\) | ||||
0.291476 | + | 0.956578i | \(0.405854\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −987206. | −0.271458 | −0.135729 | − | 0.990746i | \(-0.543338\pi\) | ||||
−0.135729 | + | 0.990746i | \(0.543338\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 4.92288e6 | 1.32205 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −628704. | −0.166869 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −3.25933e6 | −0.845152 | −0.422576 | − | 0.906327i | \(-0.638874\pi\) | ||||
−0.422576 | + | 0.906327i | \(0.638874\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 7.31461e6 | 1.87487 | 0.937436 | − | 0.348159i | \(-0.113193\pi\) | ||||
0.937436 | + | 0.348159i | \(0.113193\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 564128. | 0.141310 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −7.31419e6 | −1.81136 | −0.905681 | − | 0.423961i | \(-0.860639\pi\) | ||||
−0.905681 | + | 0.423961i | \(0.860639\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −7.07403e6 | −1.71261 | −0.856303 | − | 0.516474i | \(-0.827244\pi\) | ||||
−0.856303 | + | 0.516474i | \(0.827244\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 5.92933e6 | 1.41940 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −7.48079e6 | −1.75118 | −0.875591 | − | 0.483053i | \(-0.839528\pi\) | ||||
−0.875591 | + | 0.483053i | \(0.839528\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.97220e6 | −0.456572 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −1.10183e7 | −2.49509 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 2.97108e6 | 0.665463 | 0.332732 | − | 0.943022i | \(-0.392030\pi\) | ||||
0.332732 | + | 0.943022i | \(0.392030\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −8.29078e6 | −1.81695 | −0.908475 | − | 0.417939i | \(-0.862753\pi\) | ||||
−0.908475 | + | 0.417939i | \(0.862753\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 955064. | 0.207052 | 0.103526 | − | 0.994627i | \(-0.466987\pi\) | ||||
0.103526 | + | 0.994627i | \(0.466987\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −8.19018e6 | −1.73781 | −0.868903 | − | 0.494983i | \(-0.835174\pi\) | ||||
−0.868903 | + | 0.494983i | \(0.835174\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 760896. | 0.159732 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −6.49192e6 | −1.33420 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 6.60192e6 | 1.34257 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 3.39774e6 | 0.676631 | 0.338315 | − | 0.941033i | \(-0.390143\pi\) | ||||
0.338315 | + | 0.941033i | \(0.390143\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −8.55188e6 | −1.68538 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −1.53389e6 | −0.296101 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 1.94814e6 | 0.372219 | 0.186110 | − | 0.982529i | \(-0.440412\pi\) | ||||
0.186110 | + | 0.982529i | \(0.440412\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −3.92574e6 | −0.734882 | −0.367441 | − | 0.930047i | \(-0.619766\pi\) | ||||
−0.367441 | + | 0.930047i | \(0.619766\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −4.71169e6 | −0.873091 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −1.20384e6 | −0.218614 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −2.07102e6 | −0.372334 | −0.186167 | − | 0.982518i | \(-0.559607\pi\) | ||||
−0.186167 | + | 0.982518i | \(0.559607\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 9.16500e6 | 1.61515 | 0.807574 | − | 0.589766i | \(-0.200780\pi\) | ||||
0.807574 | + | 0.589766i | \(0.200780\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.26680e7 | 2.21045 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 6.91517e6 | 1.18307 | 0.591533 | − | 0.806281i | \(-0.298523\pi\) | ||||
0.591533 | + | 0.806281i | \(0.298523\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5.68310e6 | 0.962794 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 4.24730e6 | 0.705658 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 1.20384e6 | 0.198081 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 2.26077e6 | 0.364891 | 0.182445 | − | 0.983216i | \(-0.441599\pi\) | ||||
0.182445 | + | 0.983216i | \(0.441599\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −8.25524e6 | −1.31970 | −0.659850 | − | 0.751397i | \(-0.729380\pi\) | ||||
−0.659850 | + | 0.751397i | \(0.729380\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 8.24072e6 | 1.29252 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −6.19820e6 | −0.963000 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −4.22466e6 | −0.644130 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.34537e7 | 2.03215 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −1.49302e6 | −0.221357 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −1.90467e6 | −0.279786 | −0.139893 | − | 0.990167i | \(-0.544676\pi\) | ||||
−0.139893 | + | 0.990167i | \(0.544676\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −1.43886e7 | −2.07504 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −1.57060e6 | −0.224439 | −0.112220 | − | 0.993683i | \(-0.535796\pi\) | ||||
−0.112220 | + | 0.993683i | \(0.535796\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −6.31870e6 | −0.886642 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 6.10214e6 | 0.848535 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 2.36849e6 | 0.323469 | 0.161735 | − | 0.986834i | \(-0.448291\pi\) | ||||
0.161735 | + | 0.986834i | \(0.448291\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1.39064e7 | −1.88228 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 6.64976e6 | 0.884168 | 0.442084 | − | 0.896974i | \(-0.354239\pi\) | ||||
0.442084 | + | 0.896974i | \(0.354239\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 6.06244e6 | 0.798962 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 8.94565e6 | 1.15833 | 0.579164 | − | 0.815211i | \(-0.303379\pi\) | ||||
0.579164 | + | 0.815211i | \(0.303379\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 4.19526e6 | 0.538479 | 0.269239 | − | 0.963073i | \(-0.413228\pi\) | ||||
0.269239 | + | 0.963073i | \(0.413228\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 2.78697e6 | 0.351530 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −6.24845e6 | −0.781326 | −0.390663 | − | 0.920534i | \(-0.627754\pi\) | ||||
−0.390663 | + | 0.920534i | \(0.627754\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −8.90323e6 | −1.09423 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 9.41260e6 | 1.14693 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −4.55284e6 | −0.545365 | −0.272683 | − | 0.962104i | \(-0.587911\pi\) | ||||
−0.272683 | + | 0.962104i | \(0.587911\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1.10514e7 | 1.31259 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −210802. | −0.0246172 | −0.0123086 | − | 0.999924i | \(-0.503918\pi\) | ||||
−0.0123086 | + | 0.999924i | \(0.503918\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 1.16680e7 | 1.35116 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −3.05945e6 | −0.348398 | −0.174199 | − | 0.984710i | \(-0.555734\pi\) | ||||
−0.174199 | + | 0.984710i | \(0.555734\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 7.37094e6 | 0.832409 | 0.416204 | − | 0.909271i | \(-0.363360\pi\) | ||||
0.416204 | + | 0.909271i | \(0.363360\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −1.56519e6 | −0.173852 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 2.12257e6 | 0.233824 | 0.116912 | − | 0.993142i | \(-0.462700\pi\) | ||||
0.116912 | + | 0.993142i | \(0.462700\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 2.57875e6 | 0.279452 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 1.09689e7 | 1.17899 | 0.589496 | − | 0.807771i | \(-0.299326\pi\) | ||||
0.589496 | + | 0.807771i | \(0.299326\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 7.28953e6 | 0.770879 | 0.385440 | − | 0.922733i | \(-0.374050\pi\) | ||||
0.385440 | + | 0.922733i | \(0.374050\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 2.23675e6 | 0.234634 | 0.117317 | − | 0.993095i | \(-0.462571\pi\) | ||||
0.117317 | + | 0.993095i | \(0.462571\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 9.08323e6 | 0.937606 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 5.00302e6 | 0.512309 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 9.05617e6 | 0.912679 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −7.06160e6 | −0.706041 | −0.353020 | − | 0.935616i | \(-0.614845\pi\) | ||||
−0.353020 | + | 0.935616i | \(0.614845\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 3.12606e6 | 0.307655 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −3.19821e6 | −0.312290 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −1.80189e7 | −1.73214 | −0.866070 | − | 0.499922i | \(-0.833362\pi\) | ||||
−0.866070 | + | 0.499922i | \(0.833362\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −1.07252e6 | −0.102301 | −0.0511505 | − | 0.998691i | \(-0.516289\pi\) | ||||
−0.0511505 | + | 0.998691i | \(0.516289\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −2.03054e7 | −1.90701 | −0.953503 | − | 0.301385i | \(-0.902551\pi\) | ||||
−0.953503 | + | 0.301385i | \(0.902551\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −6.60440e6 | −0.615491 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 1.97292e7 | 1.81061 | 0.905306 | − | 0.424759i | \(-0.139641\pi\) | ||||
0.905306 | + | 0.424759i | \(0.139641\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1.40327e7 | −1.27802 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 1.29511e7 | 1.16170 | 0.580848 | − | 0.814012i | \(-0.302721\pi\) | ||||
0.580848 | + | 0.814012i | \(0.302721\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −2.01888e7 | −1.79725 | −0.898623 | − | 0.438721i | \(-0.855432\pi\) | ||||
−0.898623 | + | 0.438721i | \(0.855432\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 1.56476e7 | 1.37213 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −2.66741e6 | −0.232153 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 1.65908e6 | 0.142253 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −1.83989e7 | −1.56587 | −0.782934 | − | 0.622105i | \(-0.786278\pi\) | ||||
−0.782934 | + | 0.622105i | \(0.786278\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −4.72791e6 | −0.396458 | −0.198229 | − | 0.980156i | \(-0.563519\pi\) | ||||
−0.198229 | + | 0.980156i | \(0.563519\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −2.34979e6 | −0.195594 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −1.38084e7 | −1.13264 | −0.566321 | − | 0.824184i | \(-0.691634\pi\) | ||||
−0.566321 | + | 0.824184i | \(0.691634\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −1.39686e7 | −1.13743 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 2.01628e7 | 1.61809 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −1.28964e7 | −1.02748 | −0.513742 | − | 0.857945i | \(-0.671741\pi\) | ||||
−0.513742 | + | 0.857945i | \(0.671741\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 3.04571e7 | 2.39181 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 4.47378e6 | 0.348813 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −8.81078e6 | −0.677204 | −0.338602 | − | 0.940930i | \(-0.609954\pi\) | ||||
−0.338602 | + | 0.940930i | \(0.609954\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.21449e7 | 0.926845 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 1.94063e7 | 1.46014 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1.83369e7 | −1.36997 | −0.684984 | − | 0.728558i | \(-0.740191\pi\) | ||||
−0.684984 | + | 0.728558i | \(0.740191\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 4.66528e6 | 0.343680 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.90761e7 | 2.12702 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −2.26238e7 | −1.63209 | −0.816044 | − | 0.577990i | \(-0.803837\pi\) | ||||
−0.816044 | + | 0.577990i | \(0.803837\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 6.50650e6 | 0.466132 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −3.12163e7 | −2.20565 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −1.25658e7 | −0.881769 | −0.440885 | − | 0.897564i | \(-0.645335\pi\) | ||||
−0.440885 | + | 0.897564i | \(0.645335\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 1.47264e7 | 1.01930 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −833534. | −0.0573012 | −0.0286506 | − | 0.999589i | \(-0.509121\pi\) | ||||
−0.0286506 | + | 0.999589i | \(0.509121\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −2.00792e6 | −0.136169 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −8.84188e6 | −0.595571 | −0.297786 | − | 0.954633i | \(-0.596248\pi\) | ||||
−0.297786 | + | 0.954633i | \(0.596248\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 2.62140e7 | 1.74205 | 0.871025 | − | 0.491239i | \(-0.163456\pi\) | ||||
0.871025 | + | 0.491239i | \(0.163456\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −5.63868e6 | −0.372209 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 2.06099e7 | 1.34236 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 6.17143e6 | 0.399288 | 0.199644 | − | 0.979869i | \(-0.436021\pi\) | ||||
0.199644 | + | 0.979869i | \(0.436021\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 8.60288e6 | 0.549258 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 6.70734e6 | 0.425413 | 0.212706 | − | 0.977116i | \(-0.431772\pi\) | ||||
0.212706 | + | 0.977116i | \(0.431772\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 1.08114e7 | 0.676734 | 0.338367 | − | 0.941014i | \(-0.390125\pi\) | ||||
0.338367 | + | 0.941014i | \(0.390125\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −2.20421e7 | −1.37070 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −1.41473e7 | −0.868332 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −1.33048e7 | −0.811322 | −0.405661 | − | 0.914024i | \(-0.632959\pi\) | ||||
−0.405661 | + | 0.914024i | \(0.632959\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −1.29053e7 | −0.776818 | −0.388409 | − | 0.921487i | \(-0.626975\pi\) | ||||
−0.388409 | + | 0.921487i | \(0.626975\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 5.45972e7 | 3.26525 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 5.99964e6 | 0.354227 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 3.17680e6 | 0.186364 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −3.24817e7 | −1.88133 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −6.77705e6 | −0.390035 | −0.195018 | − | 0.980800i | \(-0.562476\pi\) | ||||
−0.195018 | + | 0.980800i | \(0.562476\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 9.28714e6 | 0.527765 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 3.55392e6 | 0.200690 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 1.49551e7 | 0.833956 | 0.416978 | − | 0.908916i | \(-0.363089\pi\) | ||||
0.416978 | + | 0.908916i | \(0.363089\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −2.73082e6 | −0.151330 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −1.49971e7 | −0.820763 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 6.60557e6 | 0.359270 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 8.65841e6 | 0.465122 | 0.232561 | − | 0.972582i | \(-0.425290\pi\) | ||||
0.232561 | + | 0.972582i | \(0.425290\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 1.98323e7 | 1.05881 | 0.529407 | − | 0.848368i | \(-0.322414\pi\) | ||||
0.529407 | + | 0.848368i | \(0.322414\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 5.96114e7 | 3.14366 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 1.97491e7 | 1.03512 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 3.02228e7 | 1.56486 | 0.782431 | − | 0.622737i | \(-0.213979\pi\) | ||||
0.782431 | + | 0.622737i | \(0.213979\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −2.64692e7 | −1.36220 | −0.681100 | − | 0.732190i | \(-0.738498\pi\) | ||||
−0.681100 | + | 0.732190i | \(0.738498\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 8.81882e6 | 0.448380 | 0.224190 | − | 0.974545i | \(-0.428026\pi\) | ||||
0.224190 | + | 0.974545i | \(0.428026\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 2.31053e7 | 1.16768 | 0.583841 | − | 0.811868i | \(-0.301549\pi\) | ||||
0.583841 | + | 0.811868i | \(0.301549\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 3.38680e6 | 0.169113 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 3.90897e7 | 1.94020 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −2.65084e7 | −1.30010 | −0.650052 | − | 0.759890i | \(-0.725253\pi\) | ||||
−0.650052 | + | 0.759890i | \(0.725253\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 9.36601e6 | 0.456630 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 2.73825e7 | 1.31926 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −2.39774e6 | −0.114840 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 5.12693e6 | 0.242680 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 7.84201e6 | 0.369024 | 0.184512 | − | 0.982830i | \(-0.440930\pi\) | ||||
0.184512 | + | 0.982830i | \(0.440930\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 2.26563e7 | 1.05375 | 0.526875 | − | 0.849943i | \(-0.323364\pi\) | ||||
0.526875 | + | 0.849943i | \(0.323364\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 2.67391e7 | 1.23641 | 0.618207 | − | 0.786016i | \(-0.287860\pi\) | ||||
0.618207 | + | 0.786016i | \(0.287860\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 1.29957e7 | 0.593983 | 0.296992 | − | 0.954880i | \(-0.404017\pi\) | ||||
0.296992 | + | 0.954880i | \(0.404017\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −3.04825e7 | −1.38519 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −1.61029e7 | −0.723359 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −4.30118e6 | −0.192106 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 3.50041e7 | 1.54561 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 3.16845e6 | 0.139107 | 0.0695533 | − | 0.997578i | \(-0.477843\pi\) | ||||
0.0695533 | + | 0.997578i | \(0.477843\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −3.85811e7 | −1.67469 | −0.837346 | − | 0.546673i | \(-0.815894\pi\) | ||||
−0.837346 | + | 0.546673i | \(0.815894\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 2.31224e7 | 0.998000 | 0.499000 | − | 0.866602i | \(-0.333701\pi\) | ||||
0.499000 | + | 0.866602i | \(0.333701\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 2.62602e7 | 1.12070 | 0.560350 | − | 0.828256i | \(-0.310667\pi\) | ||||
0.560350 | + | 0.828256i | \(0.310667\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 4.78886e6 | 0.203225 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −3.66221e6 | −0.153679 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 5.70418e7 | 2.38032 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −5.22550e7 | −2.15639 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −2.13517e7 | −0.876236 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −4.35459e7 | −1.76736 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −3.13213e7 | −1.26422 | −0.632109 | − | 0.774879i | \(-0.717811\pi\) | ||||
−0.632109 | + | 0.774879i | \(0.717811\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −4.49877e6 | −0.179596 | −0.0897982 | − | 0.995960i | \(-0.528622\pi\) | ||||
−0.0897982 | + | 0.995960i | \(0.528622\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 2.34946e7 | 0.932807 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −2.14969e7 | −0.844214 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −3.03824e6 | −0.118668 | −0.0593340 | − | 0.998238i | \(-0.518898\pi\) | ||||
−0.0593340 | + | 0.998238i | \(0.518898\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 6.80504e6 | 0.262922 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 5.99998e7 | 2.30566 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 193966. | 0.00737371 | 0.00368686 | − | 0.999993i | \(-0.498826\pi\) | ||||
0.00368686 | + | 0.999993i | \(0.498826\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 4.54192e6 | 0.171738 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −3.07906e7 | −1.15183 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −3.23213e7 | −1.20265 | −0.601326 | − | 0.799003i | \(-0.705361\pi\) | ||||
−0.601326 | + | 0.799003i | \(0.705361\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −4.50288e7 | −1.65774 | −0.828870 | − | 0.559442i | \(-0.811016\pi\) | ||||
−0.828870 | + | 0.559442i | \(0.811016\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 2.53272e6 | 0.0927487 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 1.04495e7 | 0.378635 | 0.189318 | − | 0.981916i | \(-0.439372\pi\) | ||||
0.189318 | + | 0.981916i | \(0.439372\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −3.21253e7 | −1.15793 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −4.31343e7 | −1.53847 | −0.769237 | − | 0.638963i | \(-0.779364\pi\) | ||||
−0.769237 | + | 0.638963i | \(0.779364\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −8.97708e7 | −3.18512 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −2.13987e7 | −0.751347 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 6.27644e7 | 2.19233 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −2.40758e7 | −0.832268 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −1.43982e7 | −0.495157 | −0.247579 | − | 0.968868i | \(-0.579635\pi\) | ||||
−0.247579 | + | 0.968868i | \(0.579635\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 3.00272e6 | 0.102204 | 0.0511019 | − | 0.998693i | \(-0.483727\pi\) | ||||
0.0511019 | + | 0.998693i | \(0.483727\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 4.66577e7 | 1.57994 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 3.75164e7 | 1.25743 | 0.628716 | − | 0.777635i | \(-0.283581\pi\) | ||||
0.628716 | + | 0.777635i | \(0.283581\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −2.39696e7 | −0.799291 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 2.57244e6 | 0.0849105 | 0.0424553 | − | 0.999098i | \(-0.486482\pi\) | ||||
0.0424553 | + | 0.999098i | \(0.486482\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1.04481e7 | 0.343121 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 8.33699e6 | 0.271031 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −5.41887e7 | −1.75277 | −0.876385 | − | 0.481611i | \(-0.840052\pi\) | ||||
−0.876385 | + | 0.481611i | \(0.840052\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −4.85792e7 | −1.55558 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −3.52674e7 | −1.12366 | −0.561830 | − | 0.827253i | \(-0.689903\pi\) | ||||
−0.561830 | + | 0.827253i | \(0.689903\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 576.6.a.bg.1.1 | 1 | ||
3.2 | odd | 2 | 192.6.a.i.1.1 | 1 | |||
4.3 | odd | 2 | 576.6.a.bf.1.1 | 1 | |||
8.3 | odd | 2 | 144.6.a.b.1.1 | 1 | |||
8.5 | even | 2 | 72.6.a.a.1.1 | 1 | |||
12.11 | even | 2 | 192.6.a.a.1.1 | 1 | |||
24.5 | odd | 2 | 24.6.a.b.1.1 | ✓ | 1 | ||
24.11 | even | 2 | 48.6.a.e.1.1 | 1 | |||
48.5 | odd | 4 | 768.6.d.d.385.1 | 2 | |||
48.11 | even | 4 | 768.6.d.o.385.2 | 2 | |||
48.29 | odd | 4 | 768.6.d.d.385.2 | 2 | |||
48.35 | even | 4 | 768.6.d.o.385.1 | 2 | |||
120.29 | odd | 2 | 600.6.a.d.1.1 | 1 | |||
120.53 | even | 4 | 600.6.f.b.49.1 | 2 | |||
120.77 | even | 4 | 600.6.f.b.49.2 | 2 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
24.6.a.b.1.1 | ✓ | 1 | 24.5 | odd | 2 | ||
48.6.a.e.1.1 | 1 | 24.11 | even | 2 | |||
72.6.a.a.1.1 | 1 | 8.5 | even | 2 | |||
144.6.a.b.1.1 | 1 | 8.3 | odd | 2 | |||
192.6.a.a.1.1 | 1 | 12.11 | even | 2 | |||
192.6.a.i.1.1 | 1 | 3.2 | odd | 2 | |||
576.6.a.bf.1.1 | 1 | 4.3 | odd | 2 | |||
576.6.a.bg.1.1 | 1 | 1.1 | even | 1 | trivial | ||
600.6.a.d.1.1 | 1 | 120.29 | odd | 2 | |||
600.6.f.b.49.1 | 2 | 120.53 | even | 4 | |||
600.6.f.b.49.2 | 2 | 120.77 | even | 4 | |||
768.6.d.d.385.1 | 2 | 48.5 | odd | 4 | |||
768.6.d.d.385.2 | 2 | 48.29 | odd | 4 | |||
768.6.d.o.385.1 | 2 | 48.35 | even | 4 | |||
768.6.d.o.385.2 | 2 | 48.11 | even | 4 |