Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [6036,2,Mod(1,6036)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(6036, 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("6036.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 6036 = 2^{2} \cdot 3 \cdot 503 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6036.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: | \(48.1977026600\) |
Analytic rank: | \(0\) |
Dimension: | \(26\) |
Twist minimal: | yes |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.21 | ||
Character | \(\chi\) | \(=\) | 6036.1 |
$q$-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 | ||||||||
\(3\) | −1.00000 | −0.577350 | ||||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 3.04534 | 1.36192 | 0.680958 | − | 0.732322i | \(-0.261563\pi\) | ||||
0.680958 | + | 0.732322i | \(0.261563\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 4.50218 | 1.70166 | 0.850832 | − | 0.525438i | \(-0.176098\pi\) | ||||
0.850832 | + | 0.525438i | \(0.176098\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.45850 | 1.04278 | 0.521389 | − | 0.853319i | \(-0.325414\pi\) | ||||
0.521389 | + | 0.853319i | \(0.325414\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.07798 | −0.576327 | −0.288163 | − | 0.957581i | \(-0.593045\pi\) | ||||
−0.288163 | + | 0.957581i | \(0.593045\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −3.04534 | −0.786303 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −5.67239 | −1.37576 | −0.687878 | − | 0.725826i | \(-0.741458\pi\) | ||||
−0.687878 | + | 0.725826i | \(0.741458\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 7.79821 | 1.78903 | 0.894516 | − | 0.447037i | \(-0.147521\pi\) | ||||
0.894516 | + | 0.447037i | \(0.147521\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −4.50218 | −0.982456 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −9.14325 | −1.90650 | −0.953250 | − | 0.302183i | \(-0.902285\pi\) | ||||
−0.953250 | + | 0.302183i | \(0.902285\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.27409 | 0.854817 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −8.61918 | −1.60054 | −0.800271 | − | 0.599638i | \(-0.795311\pi\) | ||||
−0.800271 | + | 0.599638i | \(0.795311\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.690524 | 0.124022 | 0.0620109 | − | 0.998075i | \(-0.480249\pi\) | ||||
0.0620109 | + | 0.998075i | \(0.480249\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −3.45850 | −0.602048 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 13.7107 | 2.31753 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 4.51215 | 0.741793 | 0.370896 | − | 0.928674i | \(-0.379050\pi\) | ||||
0.370896 | + | 0.928674i | \(0.379050\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 2.07798 | 0.332742 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 6.24824 | 0.975812 | 0.487906 | − | 0.872896i | \(-0.337761\pi\) | ||||
0.487906 | + | 0.872896i | \(0.337761\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 10.9511 | 1.67003 | 0.835016 | − | 0.550226i | \(-0.185458\pi\) | ||||
0.835016 | + | 0.550226i | \(0.185458\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 3.04534 | 0.453972 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 6.37328 | 0.929638 | 0.464819 | − | 0.885406i | \(-0.346119\pi\) | ||||
0.464819 | + | 0.885406i | \(0.346119\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 13.2696 | 1.89566 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 5.67239 | 0.794293 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −1.10555 | −0.151859 | −0.0759293 | − | 0.997113i | \(-0.524192\pi\) | ||||
−0.0759293 | + | 0.997113i | \(0.524192\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 10.5323 | 1.42018 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −7.79821 | −1.03290 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −12.6748 | −1.65012 | −0.825059 | − | 0.565046i | \(-0.808858\pi\) | ||||
−0.825059 | + | 0.565046i | \(0.808858\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 8.83264 | 1.13090 | 0.565452 | − | 0.824781i | \(-0.308702\pi\) | ||||
0.565452 | + | 0.824781i | \(0.308702\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 4.50218 | 0.567221 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −6.32814 | −0.784909 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 6.27458 | 0.766562 | 0.383281 | − | 0.923632i | \(-0.374794\pi\) | ||||
0.383281 | + | 0.923632i | \(0.374794\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 9.14325 | 1.10072 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 2.91573 | 0.346034 | 0.173017 | − | 0.984919i | \(-0.444649\pi\) | ||||
0.173017 | + | 0.984919i | \(0.444649\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.14086 | −0.484651 | −0.242325 | − | 0.970195i | \(-0.577910\pi\) | ||||
−0.242325 | + | 0.970195i | \(0.577910\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −4.27409 | −0.493529 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 15.5708 | 1.77446 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.05544 | −0.231255 | −0.115627 | − | 0.993293i | \(-0.536888\pi\) | ||||
−0.115627 | + | 0.993293i | \(0.536888\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 16.8389 | 1.84831 | 0.924157 | − | 0.382013i | \(-0.124769\pi\) | ||||
0.924157 | + | 0.382013i | \(0.124769\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −17.2743 | −1.87367 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 8.61918 | 0.924073 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 15.4179 | 1.63429 | 0.817147 | − | 0.576429i | \(-0.195554\pi\) | ||||
0.817147 | + | 0.576429i | \(0.195554\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −9.35542 | −0.980715 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −0.690524 | −0.0716040 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 23.7482 | 2.43651 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.33216 | −0.236795 | −0.118397 | − | 0.992966i | \(-0.537776\pi\) | ||||
−0.118397 | + | 0.992966i | \(0.537776\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 3.45850 | 0.347593 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 6.95919 | 0.692465 | 0.346232 | − | 0.938149i | \(-0.387461\pi\) | ||||
0.346232 | + | 0.938149i | \(0.387461\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −7.91217 | −0.779609 | −0.389805 | − | 0.920898i | \(-0.627457\pi\) | ||||
−0.389805 | + | 0.920898i | \(0.627457\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −13.7107 | −1.33802 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −11.8843 | −1.14889 | −0.574447 | − | 0.818541i | \(-0.694783\pi\) | ||||
−0.574447 | + | 0.818541i | \(0.694783\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 8.18818 | 0.784285 | 0.392143 | − | 0.919904i | \(-0.371734\pi\) | ||||
0.392143 | + | 0.919904i | \(0.371734\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −4.51215 | −0.428274 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 12.5028 | 1.17617 | 0.588083 | − | 0.808801i | \(-0.299883\pi\) | ||||
0.588083 | + | 0.808801i | \(0.299883\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −27.8443 | −2.59649 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −2.07798 | −0.192109 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −25.5381 | −2.34108 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.961244 | 0.0873858 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −6.24824 | −0.563385 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −2.21065 | −0.197727 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.92271 | 0.436820 | 0.218410 | − | 0.975857i | \(-0.429913\pi\) | ||||
0.218410 | + | 0.975857i | \(0.429913\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −10.9511 | −0.964193 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −6.64716 | −0.580765 | −0.290382 | − | 0.956911i | \(-0.593782\pi\) | ||||
−0.290382 | + | 0.956911i | \(0.593782\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 35.1089 | 3.04433 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −3.04534 | −0.262101 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −10.8868 | −0.930118 | −0.465059 | − | 0.885280i | \(-0.653967\pi\) | ||||
−0.465059 | + | 0.885280i | \(0.653967\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −16.6039 | −1.40832 | −0.704160 | − | 0.710041i | \(-0.748676\pi\) | ||||
−0.704160 | + | 0.710041i | \(0.748676\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −6.37328 | −0.536727 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −7.18669 | −0.600981 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −26.2483 | −2.17981 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −13.2696 | −1.09446 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 20.0219 | 1.64026 | 0.820128 | − | 0.572181i | \(-0.193902\pi\) | ||||
0.820128 | + | 0.572181i | \(0.193902\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −12.3666 | −1.00638 | −0.503188 | − | 0.864177i | \(-0.667840\pi\) | ||||
−0.503188 | + | 0.864177i | \(0.667840\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −5.67239 | −0.458585 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 2.10288 | 0.168907 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.17964 | 0.0941457 | 0.0470729 | − | 0.998891i | \(-0.485011\pi\) | ||||
0.0470729 | + | 0.998891i | \(0.485011\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 1.10555 | 0.0876756 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −41.1646 | −3.24422 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 10.4382 | 0.817579 | 0.408790 | − | 0.912629i | \(-0.365951\pi\) | ||||
0.408790 | + | 0.912629i | \(0.365951\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −10.5323 | −0.819939 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 17.7240 | 1.37153 | 0.685763 | − | 0.727825i | \(-0.259469\pi\) | ||||
0.685763 | + | 0.727825i | \(0.259469\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −8.68202 | −0.667847 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 7.79821 | 0.596344 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −10.0897 | −0.767103 | −0.383551 | − | 0.923520i | \(-0.625299\pi\) | ||||
−0.383551 | + | 0.923520i | \(0.625299\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 19.2427 | 1.45461 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 12.6748 | 0.952697 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 10.5502 | 0.788556 | 0.394278 | − | 0.918991i | \(-0.370995\pi\) | ||||
0.394278 | + | 0.918991i | \(0.370995\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 8.89637 | 0.661262 | 0.330631 | − | 0.943760i | \(-0.392738\pi\) | ||||
0.330631 | + | 0.943760i | \(0.392738\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −8.83264 | −0.652928 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 13.7410 | 1.01026 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −19.6180 | −1.43461 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −4.50218 | −0.327485 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 3.67401 | 0.265842 | 0.132921 | − | 0.991127i | \(-0.457564\pi\) | ||||
0.132921 | + | 0.991127i | \(0.457564\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 16.5434 | 1.19082 | 0.595412 | − | 0.803421i | \(-0.296989\pi\) | ||||
0.595412 | + | 0.803421i | \(0.296989\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 6.32814 | 0.453168 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −18.2657 | −1.30138 | −0.650689 | − | 0.759345i | \(-0.725520\pi\) | ||||
−0.650689 | + | 0.759345i | \(0.725520\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 11.3851 | 0.807072 | 0.403536 | − | 0.914964i | \(-0.367781\pi\) | ||||
0.403536 | + | 0.914964i | \(0.367781\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −6.27458 | −0.442575 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −38.8051 | −2.72359 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 19.0280 | 1.32897 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −9.14325 | −0.635500 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 26.9701 | 1.86556 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 25.3564 | 1.74561 | 0.872803 | − | 0.488072i | \(-0.162300\pi\) | ||||
0.872803 | + | 0.488072i | \(0.162300\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −2.91573 | −0.199783 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 33.3499 | 2.27444 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 3.10887 | 0.211044 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 4.14086 | 0.279813 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 11.7871 | 0.792885 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −24.5159 | −1.64171 | −0.820855 | − | 0.571137i | \(-0.806502\pi\) | ||||
−0.820855 | + | 0.571137i | \(0.806502\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 4.27409 | 0.284939 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −17.6165 | −1.16925 | −0.584624 | − | 0.811304i | \(-0.698758\pi\) | ||||
−0.584624 | + | 0.811304i | \(0.698758\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 20.7425 | 1.37070 | 0.685351 | − | 0.728213i | \(-0.259649\pi\) | ||||
0.685351 | + | 0.728213i | \(0.259649\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −15.5708 | −1.02448 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 6.29247 | 0.412233 | 0.206117 | − | 0.978527i | \(-0.433917\pi\) | ||||
0.206117 | + | 0.978527i | \(0.433917\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 19.4088 | 1.26609 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 2.05544 | 0.133515 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 15.5951 | 1.00876 | 0.504382 | − | 0.863481i | \(-0.331720\pi\) | ||||
0.504382 | + | 0.863481i | \(0.331720\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −8.74016 | −0.563003 | −0.281502 | − | 0.959561i | \(-0.590832\pi\) | ||||
−0.281502 | + | 0.959561i | \(0.590832\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 40.4105 | 2.58173 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −16.2045 | −1.03107 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −16.8389 | −1.06712 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −17.4168 | −1.09934 | −0.549670 | − | 0.835382i | \(-0.685247\pi\) | ||||
−0.549670 | + | 0.835382i | \(0.685247\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −31.6220 | −1.98806 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 17.2743 | 1.08176 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −17.8974 | −1.11641 | −0.558203 | − | 0.829704i | \(-0.688509\pi\) | ||||
−0.558203 | + | 0.829704i | \(0.688509\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 20.3145 | 1.26228 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −8.61918 | −0.533514 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −27.0763 | −1.66959 | −0.834797 | − | 0.550558i | \(-0.814415\pi\) | ||||
−0.834797 | + | 0.550558i | \(0.814415\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −3.36677 | −0.206819 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −15.4179 | −0.943560 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 30.6675 | 1.86983 | 0.934914 | − | 0.354874i | \(-0.115476\pi\) | ||||
0.934914 | + | 0.354874i | \(0.115476\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −9.49811 | −0.576969 | −0.288485 | − | 0.957485i | \(-0.593151\pi\) | ||||
−0.288485 | + | 0.957485i | \(0.593151\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 9.35542 | 0.566216 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 14.7819 | 0.891385 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 7.56035 | 0.454257 | 0.227129 | − | 0.973865i | \(-0.427066\pi\) | ||||
0.227129 | + | 0.973865i | \(0.427066\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0.690524 | 0.0413406 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −30.8149 | −1.83826 | −0.919131 | − | 0.393951i | \(-0.871108\pi\) | ||||
−0.919131 | + | 0.393951i | \(0.871108\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −12.2127 | −0.725970 | −0.362985 | − | 0.931795i | \(-0.618242\pi\) | ||||
−0.362985 | + | 0.931795i | \(0.618242\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −23.7482 | −1.40672 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 28.1307 | 1.66050 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 15.1760 | 0.892706 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 2.33216 | 0.136714 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 18.2017 | 1.06336 | 0.531678 | − | 0.846947i | \(-0.321562\pi\) | ||||
0.531678 | + | 0.846947i | \(0.321562\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −38.5991 | −2.24732 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −3.45850 | −0.200683 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 18.9995 | 1.09877 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 49.3040 | 2.84183 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −6.95919 | −0.399795 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 26.8984 | 1.54020 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −21.4170 | −1.22233 | −0.611167 | − | 0.791502i | \(-0.709300\pi\) | ||||
−0.611167 | + | 0.791502i | \(0.709300\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 7.91217 | 0.450108 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −12.9860 | −0.736366 | −0.368183 | − | 0.929753i | \(-0.620020\pi\) | ||||
−0.368183 | + | 0.929753i | \(0.620020\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −34.5858 | −1.95490 | −0.977452 | − | 0.211156i | \(-0.932277\pi\) | ||||
−0.977452 | + | 0.211156i | \(0.932277\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 13.7107 | 0.772508 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −2.39779 | −0.134673 | −0.0673367 | − | 0.997730i | \(-0.521450\pi\) | ||||
−0.0673367 | + | 0.997730i | \(0.521450\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −29.8095 | −1.66901 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 11.8843 | 0.663315 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −44.2345 | −2.46127 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −8.88145 | −0.492654 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −8.18818 | −0.452807 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 28.6936 | 1.58193 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −3.36842 | −0.185145 | −0.0925726 | − | 0.995706i | \(-0.529509\pi\) | ||||
−0.0925726 | + | 0.995706i | \(0.529509\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 4.51215 | 0.247264 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 19.1082 | 1.04399 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 10.4589 | 0.569732 | 0.284866 | − | 0.958567i | \(-0.408051\pi\) | ||||
0.284866 | + | 0.958567i | \(0.408051\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −12.5028 | −0.679059 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 2.38818 | 0.129327 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 28.2270 | 1.52412 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 27.8443 | 1.49909 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 12.9347 | 0.694374 | 0.347187 | − | 0.937796i | \(-0.387137\pi\) | ||||
0.347187 | + | 0.937796i | \(0.387137\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 30.4545 | 1.63019 | 0.815095 | − | 0.579327i | \(-0.196685\pi\) | ||||
0.815095 | + | 0.579327i | \(0.196685\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 2.07798 | 0.110914 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −30.5253 | −1.62470 | −0.812348 | − | 0.583173i | \(-0.801811\pi\) | ||||
−0.812348 | + | 0.583173i | \(0.801811\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 8.87939 | 0.471269 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 25.5381 | 1.35162 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 4.92692 | 0.260033 | 0.130016 | − | 0.991512i | \(-0.458497\pi\) | ||||
0.130016 | + | 0.991512i | \(0.458497\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 41.8120 | 2.20063 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −0.961244 | −0.0504522 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −12.6103 | −0.660054 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −8.68035 | −0.453110 | −0.226555 | − | 0.973998i | \(-0.572746\pi\) | ||||
−0.226555 | + | 0.973998i | \(0.572746\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 6.24824 | 0.325271 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −4.97737 | −0.258412 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −12.2098 | −0.632201 | −0.316100 | − | 0.948726i | \(-0.602374\pi\) | ||||
−0.316100 | + | 0.948726i | \(0.602374\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 2.21065 | 0.114157 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 17.9105 | 0.922435 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −13.7593 | −0.706769 | −0.353384 | − | 0.935478i | \(-0.614969\pi\) | ||||
−0.353384 | + | 0.935478i | \(0.614969\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −4.92271 | −0.252198 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 11.5810 | 0.591760 | 0.295880 | − | 0.955225i | \(-0.404387\pi\) | ||||
0.295880 | + | 0.955225i | \(0.404387\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 47.4184 | 2.41666 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 10.9511 | 0.556677 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −9.05551 | −0.459133 | −0.229566 | − | 0.973293i | \(-0.573731\pi\) | ||||
−0.229566 | + | 0.973293i | \(0.573731\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 51.8641 | 2.62288 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 6.64716 | 0.335305 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −6.25950 | −0.314950 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −13.1976 | −0.662368 | −0.331184 | − | 0.943566i | \(-0.607448\pi\) | ||||
−0.331184 | + | 0.943566i | \(0.607448\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −35.1089 | −1.75764 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −3.33139 | −0.166362 | −0.0831809 | − | 0.996534i | \(-0.526508\pi\) | ||||
−0.0831809 | + | 0.996534i | \(0.526508\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.43489 | −0.0714771 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 3.04534 | 0.151324 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 15.6053 | 0.773525 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −25.3221 | −1.25210 | −0.626049 | − | 0.779784i | \(-0.715329\pi\) | ||||
−0.626049 | + | 0.779784i | \(0.715329\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 10.8868 | 0.537004 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −57.0643 | −2.80795 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 51.2803 | 2.51725 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 16.6039 | 0.813094 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 8.46014 | 0.413305 | 0.206653 | − | 0.978414i | \(-0.433743\pi\) | ||||
0.206653 | + | 0.978414i | \(0.433743\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 24.5613 | 1.19705 | 0.598523 | − | 0.801106i | \(-0.295755\pi\) | ||||
0.598523 | + | 0.801106i | \(0.295755\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 6.37328 | 0.309879 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −24.2443 | −1.17602 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 39.7661 | 1.92442 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 7.18669 | 0.346977 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −20.9314 | −1.00823 | −0.504115 | − | 0.863636i | \(-0.668181\pi\) | ||||
−0.504115 | + | 0.863636i | \(0.668181\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 0.757334 | 0.0363951 | 0.0181976 | − | 0.999834i | \(-0.494207\pi\) | ||||
0.0181976 | + | 0.999834i | \(0.494207\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 26.2483 | 1.25851 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −71.3010 | −3.41079 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −4.86386 | −0.232139 | −0.116070 | − | 0.993241i | \(-0.537030\pi\) | ||||
−0.116070 | + | 0.993241i | \(0.537030\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 13.2696 | 0.631887 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −8.29499 | −0.394107 | −0.197053 | − | 0.980393i | \(-0.563137\pi\) | ||||
−0.197053 | + | 0.980393i | \(0.563137\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 46.9527 | 2.22577 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −20.0219 | −0.947002 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −4.34862 | −0.205224 | −0.102612 | − | 0.994721i | \(-0.532720\pi\) | ||||
−0.102612 | + | 0.994721i | \(0.532720\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 21.6096 | 1.01756 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 12.3666 | 0.581031 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −28.4904 | −1.33565 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 42.5590 | 1.99082 | 0.995412 | − | 0.0956804i | \(-0.0305027\pi\) | ||||
0.995412 | + | 0.0956804i | \(0.0305027\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 5.67239 | 0.264764 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 15.1505 | 0.705628 | 0.352814 | − | 0.935694i | \(-0.385225\pi\) | ||||
0.352814 | + | 0.935694i | \(0.385225\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 27.9602 | 1.29942 | 0.649710 | − | 0.760182i | \(-0.274890\pi\) | ||||
0.649710 | + | 0.760182i | \(0.274890\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −2.10288 | −0.0975187 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 30.2636 | 1.40043 | 0.700217 | − | 0.713930i | \(-0.253086\pi\) | ||||
0.700217 | + | 0.713930i | \(0.253086\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 28.2493 | 1.30443 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −1.17964 | −0.0543551 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 37.8745 | 1.74147 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 33.3302 | 1.52930 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −1.10555 | −0.0506195 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −3.35167 | −0.153142 | −0.0765709 | − | 0.997064i | \(-0.524397\pi\) | ||||
−0.0765709 | + | 0.997064i | \(0.524397\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −9.37614 | −0.427515 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 41.1646 | 1.87305 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −7.10221 | −0.322495 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −37.1978 | −1.68559 | −0.842797 | − | 0.538232i | \(-0.819092\pi\) | ||||
−0.842797 | + | 0.538232i | \(0.819092\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −10.4382 | −0.472030 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −16.2825 | −0.734817 | −0.367409 | − | 0.930060i | \(-0.619755\pi\) | ||||
−0.367409 | + | 0.930060i | \(0.619755\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 48.8914 | 2.20196 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 10.5323 | 0.473392 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 13.1271 | 0.588833 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −14.4546 | −0.647077 | −0.323538 | − | 0.946215i | \(-0.604873\pi\) | ||||
−0.323538 | + | 0.946215i | \(0.604873\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −17.7240 | −0.791851 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −1.00000 | −0.0445878 | ||||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 21.1931 | 0.943080 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 8.68202 | 0.385582 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −20.0804 | −0.890047 | −0.445023 | − | 0.895519i | \(-0.646805\pi\) | ||||
−0.445023 | + | 0.895519i | \(0.646805\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −18.6429 | −0.824713 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −7.79821 | −0.344299 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −24.0952 | −1.06176 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 22.0420 | 0.969406 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 10.0897 | 0.442887 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −33.6048 | −1.47225 | −0.736127 | − | 0.676843i | \(-0.763348\pi\) | ||||
−0.736127 | + | 0.676843i | \(0.763348\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −29.6591 | −1.29690 | −0.648451 | − | 0.761256i | \(-0.724583\pi\) | ||||
−0.648451 | + | 0.761256i | \(0.724583\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −19.2427 | −0.839821 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −3.91692 | −0.170624 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 60.5991 | 2.63474 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −12.6748 | −0.550040 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −12.9837 | −0.562387 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −36.1916 | −1.56470 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −10.5502 | −0.455273 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 45.8931 | 1.97675 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −28.2899 | −1.21628 | −0.608139 | − | 0.793830i | \(-0.708084\pi\) | ||||
−0.608139 | + | 0.793830i | \(0.708084\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −8.89637 | −0.381780 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 24.9358 | 1.06813 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −6.08221 | −0.260057 | −0.130028 | − | 0.991510i | \(-0.541507\pi\) | ||||
−0.130028 | + | 0.991510i | \(0.541507\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 8.83264 | 0.376968 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −67.2142 | −2.86342 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −9.25395 | −0.393518 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −13.7410 | −0.583274 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 3.44809 | 0.146100 | 0.0730500 | − | 0.997328i | \(-0.476727\pi\) | ||||
0.0730500 | + | 0.997328i | \(0.476727\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −22.7562 | −0.962484 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 19.6180 | 0.828272 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 12.3883 | 0.522103 | 0.261052 | − | 0.965325i | \(-0.415931\pi\) | ||||
0.261052 | + | 0.965325i | \(0.415931\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 38.0753 | 1.60184 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 4.50218 | 0.189074 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 38.8053 | 1.62680 | 0.813401 | − | 0.581703i | \(-0.197614\pi\) | ||||
0.813401 | + | 0.581703i | \(0.197614\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −39.2095 | −1.64087 | −0.820434 | − | 0.571741i | \(-0.806268\pi\) | ||||
−0.820434 | + | 0.571741i | \(0.806268\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −3.67401 | −0.153484 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −39.0791 | −1.62971 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −2.63260 | −0.109596 | −0.0547982 | − | 0.998497i | \(-0.517452\pi\) | ||||
−0.0547982 | + | 0.998497i | \(0.517452\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −16.5434 | −0.687522 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 75.8120 | 3.14521 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −3.82354 | −0.158355 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −6.32814 | −0.261636 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −8.45733 | −0.349071 | −0.174536 | − | 0.984651i | \(-0.555842\pi\) | ||||
−0.174536 | + | 0.984651i | \(0.555842\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 5.38485 | 0.221879 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 18.2657 | 0.751350 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 12.2092 | 0.501371 | 0.250685 | − | 0.968069i | \(-0.419344\pi\) | ||||
0.250685 | + | 0.968069i | \(0.419344\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −77.7722 | −3.18835 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −11.3851 | −0.465963 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 14.4106 | 0.588801 | 0.294400 | − | 0.955682i | \(-0.404880\pi\) | ||||
0.294400 | + | 0.955682i | \(0.404880\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 13.4577 | 0.548953 | 0.274476 | − | 0.961594i | \(-0.411495\pi\) | ||||
0.274476 | + | 0.961594i | \(0.411495\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 6.27458 | 0.255521 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 2.92731 | 0.119012 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 18.1319 | 0.735952 | 0.367976 | − | 0.929835i | \(-0.380051\pi\) | ||||
0.367976 | + | 0.929835i | \(0.380051\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 38.8051 | 1.57246 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −13.2435 | −0.535775 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 15.2502 | 0.615949 | 0.307975 | − | 0.951395i | \(-0.400349\pi\) | ||||
0.307975 | + | 0.951395i | \(0.400349\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −19.0280 | −0.767284 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 33.3746 | 1.34361 | 0.671805 | − | 0.740728i | \(-0.265519\pi\) | ||||
0.671805 | + | 0.740728i | \(0.265519\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −24.3563 | −0.978962 | −0.489481 | − | 0.872014i | \(-0.662814\pi\) | ||||
−0.489481 | + | 0.872014i | \(0.662814\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 9.14325 | 0.366906 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 69.4142 | 2.78102 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −28.1026 | −1.12410 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −26.9701 | −1.07708 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −25.5947 | −1.02053 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 29.2056 | 1.16266 | 0.581328 | − | 0.813669i | \(-0.302533\pi\) | ||||
0.581328 | + | 0.813669i | \(0.302533\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −25.3564 | −1.00783 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 14.9913 | 0.594913 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −27.5740 | −1.09252 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 2.91573 | 0.115345 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −29.6360 | −1.17055 | −0.585275 | − | 0.810835i | \(-0.699013\pi\) | ||||
−0.585275 | + | 0.810835i | \(0.699013\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 29.6329 | 1.16861 | 0.584303 | − | 0.811536i | \(-0.301368\pi\) | ||||
0.584303 | + | 0.811536i | \(0.301368\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −33.3499 | −1.31315 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −5.79403 | −0.227787 | −0.113893 | − | 0.993493i | \(-0.536332\pi\) | ||||
−0.113893 | + | 0.993493i | \(0.536332\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −43.8358 | −1.72071 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −3.10887 | −0.121846 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 0.150068 | 0.00587261 | 0.00293630 | − | 0.999996i | \(-0.499065\pi\) | ||||
0.00293630 | + | 0.999996i | \(0.499065\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −20.2428 | −0.790953 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −4.14086 | −0.161550 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 26.2902 | 1.02412 | 0.512060 | − | 0.858950i | \(-0.328883\pi\) | ||||
0.512060 | + | 0.858950i | \(0.328883\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −8.94901 | −0.348076 | −0.174038 | − | 0.984739i | \(-0.555682\pi\) | ||||
−0.174038 | + | 0.984739i | \(0.555682\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −11.7871 | −0.457773 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 106.919 | 4.14612 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 78.8074 | 3.05143 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 24.5159 | 0.947841 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 30.5477 | 1.17928 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 19.7062 | 0.759618 | 0.379809 | − | 0.925065i | \(-0.375990\pi\) | ||||
0.379809 | + | 0.925065i | \(0.375990\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −4.27409 | −0.164510 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −35.1754 | −1.35190 | −0.675951 | − | 0.736946i | \(-0.736267\pi\) | ||||
−0.675951 | + | 0.736946i | \(0.736267\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −10.4998 | −0.402945 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 17.6165 | 0.675066 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −43.5694 | −1.66714 | −0.833568 | − | 0.552416i | \(-0.813706\pi\) | ||||
−0.833568 | + | 0.552416i | \(0.813706\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −33.1539 | −1.26674 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −20.7425 | −0.791375 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 2.29730 | 0.0875202 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −9.55345 | −0.363430 | −0.181715 | − | 0.983351i | \(-0.558165\pi\) | ||||
−0.181715 | + | 0.983351i | \(0.558165\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 15.5708 | 0.591486 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −50.5644 | −1.91802 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −35.4425 | −1.34248 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −6.29247 | −0.238003 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 9.40944 | 0.355390 | 0.177695 | − | 0.984086i | \(-0.443136\pi\) | ||||
0.177695 | + | 0.984086i | \(0.443136\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 35.1867 | 1.32709 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −19.4088 | −0.730977 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 31.3315 | 1.17834 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −31.2934 | −1.17525 | −0.587624 | − | 0.809134i | \(-0.699937\pi\) | ||||
−0.587624 | + | 0.809134i | \(0.699937\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −2.05544 | −0.0770849 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −6.31364 | −0.236448 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −21.8859 | −0.818486 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −15.5951 | −0.582410 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −2.27385 | −0.0848003 | −0.0424002 | − | 0.999101i | \(-0.513500\pi\) | ||||
−0.0424002 | + | 0.999101i | \(0.513500\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −35.6220 | −1.32663 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 8.74016 | 0.325050 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −36.8391 | −1.36817 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 38.8592 | 1.44121 | 0.720604 | − | 0.693347i | \(-0.243865\pi\) | ||||
0.720604 | + | 0.693347i | \(0.243865\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −62.1191 | −2.29756 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −49.2057 | −1.81746 | −0.908728 | − | 0.417389i | \(-0.862945\pi\) | ||||
−0.908728 | + | 0.417389i | \(0.862945\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −40.4105 | −1.49056 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 21.7007 | 0.799354 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −17.8278 | −0.655806 | −0.327903 | − | 0.944711i | \(-0.606342\pi\) | ||||
−0.327903 | + | 0.944711i | \(0.606342\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 16.2045 | 0.595287 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −5.31009 | −0.194808 | −0.0974042 | − | 0.995245i | \(-0.531054\pi\) | ||||
−0.0974042 | + | 0.995245i | \(0.531054\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 60.9734 | 2.23389 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 16.8389 | 0.616105 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −53.5051 | −1.95503 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −36.8775 | −1.34568 | −0.672839 | − | 0.739789i | \(-0.734925\pi\) | ||||
−0.672839 | + | 0.739789i | \(0.734925\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 17.4168 | 0.634705 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −37.6603 | −1.37060 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 26.6854 | 0.969896 | 0.484948 | − | 0.874543i | \(-0.338839\pi\) | ||||
0.484948 | + | 0.874543i | \(0.338839\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 31.6220 | 1.14780 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −1.72623 | −0.0625758 | −0.0312879 | − | 0.999510i | \(-0.509961\pi\) | ||||
−0.0312879 | + | 0.999510i | \(0.509961\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 36.8647 | 1.33459 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −17.2743 | −0.624555 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 26.3379 | 0.951008 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 22.8733 | 0.824833 | 0.412416 | − | 0.910995i | \(-0.364685\pi\) | ||||
0.412416 | + | 0.910995i | \(0.364685\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 17.8974 | 0.644558 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −32.4712 | −1.16791 | −0.583954 | − | 0.811787i | \(-0.698495\pi\) | ||||
−0.583954 | + | 0.811787i | \(0.698495\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 2.95136 | 0.106016 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −20.3145 | −0.728779 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 48.7251 | 1.74576 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 10.0841 | 0.360836 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 8.61918 | 0.308024 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 3.59241 | 0.128219 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −49.3151 | −1.75789 | −0.878947 | − | 0.476919i | \(-0.841754\pi\) | ||||
−0.878947 | + | 0.476919i | \(0.841754\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 27.0763 | 0.963941 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 56.2899 | 2.00144 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −18.3540 | −0.651770 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 3.36677 | 0.119407 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −21.5754 | −0.764241 | −0.382120 | − | 0.924113i | \(-0.624806\pi\) | ||||
−0.382120 | + | 0.924113i | \(0.624806\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −36.1517 | −1.27896 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 15.4179 | 0.544765 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −14.3212 | −0.505383 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −125.360 | −4.41836 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −30.6675 | −1.07955 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 24.1700 | 0.849773 | 0.424886 | − | 0.905247i | \(-0.360314\pi\) | ||||
0.424886 | + | 0.905247i | \(0.360314\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 7.45814 | 0.261891 | 0.130945 | − | 0.991390i | \(-0.458199\pi\) | ||||
0.130945 | + | 0.991390i | \(0.458199\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 9.49811 | 0.333113 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 31.7877 | 1.11348 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 85.3992 | 2.98774 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −9.35542 | −0.326905 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 14.4722 | 0.505083 | 0.252541 | − | 0.967586i | \(-0.418734\pi\) | ||||
0.252541 | + | 0.967586i | \(0.418734\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −40.3551 | −1.40669 | −0.703346 | − | 0.710848i | \(-0.748311\pi\) | ||||
−0.703346 | + | 0.710848i | \(0.748311\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −14.7819 | −0.514641 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 18.0750 | 0.628528 | 0.314264 | − | 0.949336i | \(-0.398242\pi\) | ||||
0.314264 | + | 0.949336i | \(0.398242\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −5.09200 | −0.176852 | −0.0884262 | − | 0.996083i | \(-0.528184\pi\) | ||||
−0.0884262 | + | 0.996083i | \(0.528184\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −7.56035 | −0.262266 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −75.2705 | −2.60797 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 53.9756 | 1.86790 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −0.690524 | −0.0238680 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 31.2231 | 1.07794 | 0.538971 | − | 0.842325i | \(-0.318813\pi\) | ||||
0.538971 | + | 0.842325i | \(0.318813\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 45.2903 | 1.56173 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 30.8149 | 1.06132 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −26.4397 | −0.909553 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 4.32769 | 0.148701 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 12.2127 | 0.419139 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −41.2557 | −1.41423 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −23.1392 | −0.792271 | −0.396135 | − | 0.918192i | \(-0.629649\pi\) | ||||
−0.396135 | + | 0.918192i | \(0.629649\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 23.7482 | 0.812171 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 31.8095 | 1.08659 | 0.543296 | − | 0.839541i | \(-0.317176\pi\) | ||||
0.543296 | + | 0.839541i | \(0.317176\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 21.7956 | 0.743657 | 0.371828 | − | 0.928302i | \(-0.378731\pi\) | ||||
0.371828 | + | 0.928302i | \(0.378731\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −28.1307 | −0.958693 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −41.9026 | −1.42638 | −0.713190 | − | 0.700971i | \(-0.752750\pi\) | ||||
−0.713190 | + | 0.700971i | \(0.752750\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −30.7264 | −1.04473 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −15.1760 | −0.515404 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −7.10874 | −0.241147 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −13.0384 | −0.441791 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −2.33216 | −0.0789316 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −9.95274 | −0.336464 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −26.3603 | −0.890123 | −0.445061 | − | 0.895500i | \(-0.646818\pi\) | ||||
−0.445061 | + | 0.895500i | \(0.646818\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −18.2017 | −0.613928 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 1.34774 | 0.0454065 | 0.0227032 | − | 0.999742i | \(-0.492773\pi\) | ||||
0.0227032 | + | 0.999742i | \(0.492773\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −46.0807 | −1.55074 | −0.775369 | − | 0.631508i | \(-0.782436\pi\) | ||||
−0.775369 | + | 0.631508i | \(0.782436\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 38.5991 | 1.29749 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 48.7892 | 1.63818 | 0.819091 | − | 0.573664i | \(-0.194478\pi\) | ||||
0.819091 | + | 0.573664i | \(0.194478\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 22.1629 | 0.743321 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 3.45850 | 0.115864 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 49.7001 | 1.66315 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 32.1288 | 1.07395 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −18.9995 | −0.634373 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −5.95175 | −0.198502 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 6.27109 | 0.208920 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −49.3040 | −1.64073 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 27.0925 | 0.900584 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −13.9725 | −0.463950 | −0.231975 | − | 0.972722i | \(-0.574519\pi\) | ||||
−0.231975 | + | 0.972722i | \(0.574519\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 6.95919 | 0.230822 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −16.4529 | −0.545110 | −0.272555 | − | 0.962140i | \(-0.587869\pi\) | ||||
−0.272555 | + | 0.962140i | \(0.587869\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 58.2375 | 1.92738 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −26.8984 | −0.889233 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −29.9267 | −0.988267 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 15.6972 | 0.517803 | 0.258901 | − | 0.965904i | \(-0.416640\pi\) | ||||
0.258901 | + | 0.965904i | \(0.416640\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 21.4170 | 0.705715 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −6.05882 | −0.199428 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 19.2853 | 0.634098 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −7.91217 | −0.259870 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −32.6747 | −1.07202 | −0.536011 | − | 0.844211i | \(-0.680069\pi\) | ||||
−0.536011 | + | 0.844211i | \(0.680069\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 103.479 | 3.39140 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 12.9860 | 0.425141 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −59.7434 | −1.95382 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 11.8851 | 0.388270 | 0.194135 | − | 0.980975i | \(-0.437810\pi\) | ||||
0.194135 | + | 0.980975i | \(0.437810\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 34.5858 | 1.12866 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −19.6082 | −0.639208 | −0.319604 | − | 0.947551i | \(-0.603550\pi\) | ||||
−0.319604 | + | 0.947551i | \(0.603550\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −57.1293 | −1.86039 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −13.7107 | −0.446008 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −16.1645 | −0.525277 | −0.262638 | − | 0.964894i | \(-0.584593\pi\) | ||||
−0.262638 | + | 0.964894i | \(0.584593\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 8.60461 | 0.279317 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 2.39779 | 0.0777537 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −30.9853 | −1.00371 | −0.501857 | − | 0.864951i | \(-0.667350\pi\) | ||||
−0.501857 | + | 0.864951i | \(0.667350\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 11.1886 | 0.362055 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 29.8095 | 0.963603 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −49.0141 | −1.58275 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −30.5232 | −0.984619 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −11.8843 | −0.382965 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 50.3804 | 1.62180 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −5.56418 | −0.178932 | −0.0894660 | − | 0.995990i | \(-0.528516\pi\) | ||||
−0.0894660 | + | 0.995990i | \(0.528516\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 44.2345 | 1.42102 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −14.5792 | −0.467868 | −0.233934 | − | 0.972252i | \(-0.575160\pi\) | ||||
−0.233934 | + | 0.972252i | \(0.575160\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −74.7536 | −2.39649 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 8.88145 | 0.284434 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 14.3997 | 0.460688 | 0.230344 | − | 0.973109i | \(-0.426015\pi\) | ||||
0.230344 | + | 0.973109i | \(0.426015\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 53.3229 | 1.70421 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 8.18818 | 0.261428 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −52.3052 | −1.66828 | −0.834138 | − | 0.551556i | \(-0.814034\pi\) | ||||
−0.834138 | + | 0.551556i | \(0.814034\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −55.6252 | −1.77237 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −28.6936 | −0.913329 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −100.129 | −3.18391 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 25.5941 | 0.813022 | 0.406511 | − | 0.913646i | \(-0.366745\pi\) | ||||
0.406511 | + | 0.913646i | \(0.366745\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 3.36842 | 0.106894 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 34.6716 | 1.09916 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 14.9021 | 0.471955 | 0.235977 | − | 0.971759i | \(-0.424171\pi\) | ||||
0.235977 | + | 0.971759i | \(0.424171\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −4.51215 | −0.142758 |
(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 | 6036.2.a.i.1.21 | ✓ | 26 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
6036.2.a.i.1.21 | ✓ | 26 | 1.1 | even | 1 | trivial |