Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [6039,2,Mod(1,6039)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(6039, 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("6039.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 6039 = 3^{2} \cdot 11 \cdot 61 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6039.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: | \(48.2216577807\) |
Analytic rank: | \(1\) |
Dimension: | \(25\) |
Twist minimal: | yes |
Fricke sign: | \(1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.17 | ||
Character | \(\chi\) | \(=\) | 6039.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.04470 | 0.738712 | 0.369356 | − | 0.929288i | \(-0.379578\pi\) | ||||
0.369356 | + | 0.929288i | \(0.379578\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.908610 | −0.454305 | ||||||||
\(5\) | 2.79878 | 1.25165 | 0.625827 | − | 0.779962i | \(-0.284762\pi\) | ||||
0.625827 | + | 0.779962i | \(0.284762\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −4.32870 | −1.63610 | −0.818048 | − | 0.575150i | \(-0.804944\pi\) | ||||
−0.818048 | + | 0.575150i | \(0.804944\pi\) | |||||||
\(8\) | −3.03861 | −1.07431 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.92388 | 0.924611 | ||||||||
\(11\) | −1.00000 | −0.301511 | ||||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.42009 | 0.671213 | 0.335607 | − | 0.942002i | \(-0.391059\pi\) | ||||
0.335607 | + | 0.942002i | \(0.391059\pi\) | |||||||
\(14\) | −4.52218 | −1.20860 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.35721 | −0.339302 | ||||||||
\(17\) | −1.27789 | −0.309933 | −0.154967 | − | 0.987920i | \(-0.549527\pi\) | ||||
−0.154967 | + | 0.987920i | \(0.549527\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 5.47422 | 1.25587 | 0.627936 | − | 0.778265i | \(-0.283900\pi\) | ||||
0.627936 | + | 0.778265i | \(0.283900\pi\) | |||||||
\(20\) | −2.54300 | −0.568632 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.04470 | −0.222730 | ||||||||
\(23\) | 4.49322 | 0.936901 | 0.468450 | − | 0.883490i | \(-0.344813\pi\) | ||||
0.468450 | + | 0.883490i | \(0.344813\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.83318 | 0.566636 | ||||||||
\(26\) | 2.52826 | 0.495833 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 3.93310 | 0.743286 | ||||||||
\(29\) | −3.83450 | −0.712049 | −0.356025 | − | 0.934477i | \(-0.615868\pi\) | ||||
−0.356025 | + | 0.934477i | \(0.615868\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.921333 | 0.165476 | 0.0827382 | − | 0.996571i | \(-0.473633\pi\) | ||||
0.0827382 | + | 0.996571i | \(0.473633\pi\) | |||||||
\(32\) | 4.65936 | 0.823666 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.33501 | −0.228952 | ||||||||
\(35\) | −12.1151 | −2.04783 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −7.51289 | −1.23511 | −0.617556 | − | 0.786527i | \(-0.711877\pi\) | ||||
−0.617556 | + | 0.786527i | \(0.711877\pi\) | |||||||
\(38\) | 5.71890 | 0.927728 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −8.50442 | −1.34467 | ||||||||
\(41\) | 4.82876 | 0.754126 | 0.377063 | − | 0.926188i | \(-0.376934\pi\) | ||||
0.377063 | + | 0.926188i | \(0.376934\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −8.17926 | −1.24733 | −0.623663 | − | 0.781693i | \(-0.714356\pi\) | ||||
−0.623663 | + | 0.781693i | \(0.714356\pi\) | |||||||
\(44\) | 0.908610 | 0.136978 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 4.69405 | 0.692100 | ||||||||
\(47\) | 9.90973 | 1.44548 | 0.722741 | − | 0.691119i | \(-0.242882\pi\) | ||||
0.722741 | + | 0.691119i | \(0.242882\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 11.7377 | 1.67681 | ||||||||
\(50\) | 2.95981 | 0.418581 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.19892 | −0.304935 | ||||||||
\(53\) | −9.03740 | −1.24138 | −0.620691 | − | 0.784055i | \(-0.713148\pi\) | ||||
−0.620691 | + | 0.784055i | \(0.713148\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.79878 | −0.377388 | ||||||||
\(56\) | 13.1533 | 1.75768 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −4.00589 | −0.525999 | ||||||||
\(59\) | −4.30084 | −0.559921 | −0.279961 | − | 0.960012i | \(-0.590321\pi\) | ||||
−0.279961 | + | 0.960012i | \(0.590321\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.00000 | −0.128037 | ||||||||
\(62\) | 0.962513 | 0.122239 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 7.58203 | 0.947754 | ||||||||
\(65\) | 6.77332 | 0.840127 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −10.5758 | −1.29204 | −0.646022 | − | 0.763319i | \(-0.723569\pi\) | ||||
−0.646022 | + | 0.763319i | \(0.723569\pi\) | |||||||
\(68\) | 1.16110 | 0.140804 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −12.6566 | −1.51275 | ||||||||
\(71\) | −4.02364 | −0.477518 | −0.238759 | − | 0.971079i | \(-0.576741\pi\) | ||||
−0.238759 | + | 0.971079i | \(0.576741\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −9.67796 | −1.13272 | −0.566360 | − | 0.824158i | \(-0.691649\pi\) | ||||
−0.566360 | + | 0.824158i | \(0.691649\pi\) | |||||||
\(74\) | −7.84869 | −0.912391 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −4.97393 | −0.570549 | ||||||||
\(77\) | 4.32870 | 0.493302 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −10.5830 | −1.19068 | −0.595342 | − | 0.803472i | \(-0.702983\pi\) | ||||
−0.595342 | + | 0.803472i | \(0.702983\pi\) | |||||||
\(80\) | −3.79853 | −0.424689 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 5.04459 | 0.557082 | ||||||||
\(83\) | 9.35402 | 1.02674 | 0.513368 | − | 0.858168i | \(-0.328397\pi\) | ||||
0.513368 | + | 0.858168i | \(0.328397\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.57653 | −0.387929 | ||||||||
\(86\) | −8.54485 | −0.921415 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 3.03861 | 0.323917 | ||||||||
\(89\) | −11.4151 | −1.21000 | −0.605001 | − | 0.796224i | \(-0.706827\pi\) | ||||
−0.605001 | + | 0.796224i | \(0.706827\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −10.4759 | −1.09817 | ||||||||
\(92\) | −4.08258 | −0.425638 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 10.3527 | 1.06780 | ||||||||
\(95\) | 15.3212 | 1.57192 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −16.2131 | −1.64619 | −0.823095 | − | 0.567904i | \(-0.807754\pi\) | ||||
−0.823095 | + | 0.567904i | \(0.807754\pi\) | |||||||
\(98\) | 12.2623 | 1.23868 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.57425 | −0.257425 | ||||||||
\(101\) | −0.825975 | −0.0821876 | −0.0410938 | − | 0.999155i | \(-0.513084\pi\) | ||||
−0.0410938 | + | 0.999155i | \(0.513084\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 3.81263 | 0.375670 | 0.187835 | − | 0.982201i | \(-0.439853\pi\) | ||||
0.187835 | + | 0.982201i | \(0.439853\pi\) | |||||||
\(104\) | −7.35373 | −0.721093 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −9.44134 | −0.917024 | ||||||||
\(107\) | 15.4102 | 1.48976 | 0.744878 | − | 0.667200i | \(-0.232507\pi\) | ||||
0.744878 | + | 0.667200i | \(0.232507\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.99961 | 0.574658 | 0.287329 | − | 0.957832i | \(-0.407233\pi\) | ||||
0.287329 | + | 0.957832i | \(0.407233\pi\) | |||||||
\(110\) | −2.92388 | −0.278781 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 5.87496 | 0.555131 | ||||||||
\(113\) | −18.4691 | −1.73743 | −0.868714 | − | 0.495314i | \(-0.835053\pi\) | ||||
−0.868714 | + | 0.495314i | \(0.835053\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 12.5755 | 1.17267 | ||||||||
\(116\) | 3.48407 | 0.323487 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −4.49307 | −0.413620 | ||||||||
\(119\) | 5.53160 | 0.507081 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.00000 | 0.0909091 | ||||||||
\(122\) | −1.04470 | −0.0945824 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.837132 | −0.0751767 | ||||||||
\(125\) | −6.06446 | −0.542421 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −13.1572 | −1.16751 | −0.583756 | − | 0.811929i | \(-0.698418\pi\) | ||||
−0.583756 | + | 0.811929i | \(0.698418\pi\) | |||||||
\(128\) | −1.39779 | −0.123548 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 7.07606 | 0.620611 | ||||||||
\(131\) | −14.1005 | −1.23197 | −0.615985 | − | 0.787758i | \(-0.711242\pi\) | ||||
−0.615985 | + | 0.787758i | \(0.711242\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −23.6963 | −2.05473 | ||||||||
\(134\) | −11.0485 | −0.954448 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 3.88301 | 0.332965 | ||||||||
\(137\) | −2.39030 | −0.204217 | −0.102108 | − | 0.994773i | \(-0.532559\pi\) | ||||
−0.102108 | + | 0.994773i | \(0.532559\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.41844 | −0.120310 | −0.0601552 | − | 0.998189i | \(-0.519160\pi\) | ||||
−0.0601552 | + | 0.998189i | \(0.519160\pi\) | |||||||
\(140\) | 11.0079 | 0.930337 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −4.20348 | −0.352748 | ||||||||
\(143\) | −2.42009 | −0.202378 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −10.7319 | −0.891239 | ||||||||
\(146\) | −10.1105 | −0.836754 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 6.82628 | 0.561117 | ||||||||
\(149\) | −5.53404 | −0.453366 | −0.226683 | − | 0.973969i | \(-0.572788\pi\) | ||||
−0.226683 | + | 0.973969i | \(0.572788\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.79810 | −0.309085 | −0.154542 | − | 0.987986i | \(-0.549390\pi\) | ||||
−0.154542 | + | 0.987986i | \(0.549390\pi\) | |||||||
\(152\) | −16.6340 | −1.34920 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 4.52218 | 0.364408 | ||||||||
\(155\) | 2.57861 | 0.207119 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −17.0924 | −1.36413 | −0.682063 | − | 0.731294i | \(-0.738917\pi\) | ||||
−0.682063 | + | 0.731294i | \(0.738917\pi\) | |||||||
\(158\) | −11.0561 | −0.879573 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 13.0405 | 1.03094 | ||||||||
\(161\) | −19.4498 | −1.53286 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 18.8889 | 1.47949 | 0.739745 | − | 0.672888i | \(-0.234946\pi\) | ||||
0.739745 | + | 0.672888i | \(0.234946\pi\) | |||||||
\(164\) | −4.38746 | −0.342603 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 9.77211 | 0.758463 | ||||||||
\(167\) | 2.10168 | 0.162633 | 0.0813164 | − | 0.996688i | \(-0.474088\pi\) | ||||
0.0813164 | + | 0.996688i | \(0.474088\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −7.14314 | −0.549472 | ||||||||
\(170\) | −3.73639 | −0.286568 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 7.43176 | 0.566666 | ||||||||
\(173\) | 10.7236 | 0.815297 | 0.407648 | − | 0.913139i | \(-0.366349\pi\) | ||||
0.407648 | + | 0.913139i | \(0.366349\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −12.2640 | −0.927071 | ||||||||
\(176\) | 1.35721 | 0.102304 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −11.9254 | −0.893843 | ||||||||
\(179\) | −19.6960 | −1.47215 | −0.736074 | − | 0.676901i | \(-0.763323\pi\) | ||||
−0.736074 | + | 0.676901i | \(0.763323\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −26.4204 | −1.96381 | −0.981906 | − | 0.189371i | \(-0.939355\pi\) | ||||
−0.981906 | + | 0.189371i | \(0.939355\pi\) | |||||||
\(182\) | −10.9441 | −0.811231 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −13.6532 | −1.00652 | ||||||||
\(185\) | −21.0269 | −1.54593 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.27789 | 0.0934485 | ||||||||
\(188\) | −9.00408 | −0.656690 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 16.0060 | 1.16119 | ||||||||
\(191\) | 3.98145 | 0.288087 | 0.144044 | − | 0.989571i | \(-0.453989\pi\) | ||||
0.144044 | + | 0.989571i | \(0.453989\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 21.1369 | 1.52147 | 0.760733 | − | 0.649065i | \(-0.224840\pi\) | ||||
0.760733 | + | 0.649065i | \(0.224840\pi\) | |||||||
\(194\) | −16.9377 | −1.21606 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −10.6650 | −0.761783 | ||||||||
\(197\) | −0.122002 | −0.00869232 | −0.00434616 | − | 0.999991i | \(-0.501383\pi\) | ||||
−0.00434616 | + | 0.999991i | \(0.501383\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −17.1579 | −1.21629 | −0.608145 | − | 0.793826i | \(-0.708086\pi\) | ||||
−0.608145 | + | 0.793826i | \(0.708086\pi\) | |||||||
\(200\) | −8.60894 | −0.608744 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −0.862893 | −0.0607130 | ||||||||
\(203\) | 16.5984 | 1.16498 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 13.5147 | 0.943905 | ||||||||
\(206\) | 3.98304 | 0.277512 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −3.28458 | −0.227744 | ||||||||
\(209\) | −5.47422 | −0.378660 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3.73045 | 0.256815 | 0.128407 | − | 0.991722i | \(-0.459014\pi\) | ||||
0.128407 | + | 0.991722i | \(0.459014\pi\) | |||||||
\(212\) | 8.21147 | 0.563966 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 16.0989 | 1.10050 | ||||||||
\(215\) | −22.8920 | −1.56122 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −3.98818 | −0.270735 | ||||||||
\(218\) | 6.26777 | 0.424507 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 2.54300 | 0.171449 | ||||||||
\(221\) | −3.09261 | −0.208032 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 25.2735 | 1.69244 | 0.846221 | − | 0.532832i | \(-0.178872\pi\) | ||||
0.846221 | + | 0.532832i | \(0.178872\pi\) | |||||||
\(224\) | −20.1690 | −1.34760 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −19.2946 | −1.28346 | ||||||||
\(227\) | 2.01806 | 0.133943 | 0.0669717 | − | 0.997755i | \(-0.478666\pi\) | ||||
0.0669717 | + | 0.997755i | \(0.478666\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 16.5927 | 1.09648 | 0.548238 | − | 0.836323i | \(-0.315299\pi\) | ||||
0.548238 | + | 0.836323i | \(0.315299\pi\) | |||||||
\(230\) | 13.1376 | 0.866269 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 11.6516 | 0.764963 | ||||||||
\(233\) | 23.3233 | 1.52796 | 0.763979 | − | 0.645242i | \(-0.223243\pi\) | ||||
0.763979 | + | 0.645242i | \(0.223243\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 27.7352 | 1.80924 | ||||||||
\(236\) | 3.90778 | 0.254375 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 5.77884 | 0.374587 | ||||||||
\(239\) | 27.9100 | 1.80535 | 0.902674 | − | 0.430325i | \(-0.141601\pi\) | ||||
0.902674 | + | 0.430325i | \(0.141601\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 16.1898 | 1.04288 | 0.521439 | − | 0.853289i | \(-0.325395\pi\) | ||||
0.521439 | + | 0.853289i | \(0.325395\pi\) | |||||||
\(242\) | 1.04470 | 0.0671556 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0.908610 | 0.0581678 | ||||||||
\(245\) | 32.8512 | 2.09879 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 13.2481 | 0.842959 | ||||||||
\(248\) | −2.79958 | −0.177773 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −6.33552 | −0.400693 | ||||||||
\(251\) | −17.0827 | −1.07825 | −0.539125 | − | 0.842226i | \(-0.681245\pi\) | ||||
−0.539125 | + | 0.842226i | \(0.681245\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −4.49322 | −0.282486 | ||||||||
\(254\) | −13.7453 | −0.862455 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −16.6243 | −1.03902 | ||||||||
\(257\) | 9.63585 | 0.601068 | 0.300534 | − | 0.953771i | \(-0.402835\pi\) | ||||
0.300534 | + | 0.953771i | \(0.402835\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 32.5211 | 2.02076 | ||||||||
\(260\) | −6.15430 | −0.381674 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −14.7308 | −0.910071 | ||||||||
\(263\) | −25.4339 | −1.56832 | −0.784161 | − | 0.620558i | \(-0.786906\pi\) | ||||
−0.784161 | + | 0.620558i | \(0.786906\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −25.2937 | −1.55378 | ||||||||
\(266\) | −24.7554 | −1.51785 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 9.60930 | 0.586982 | ||||||||
\(269\) | −21.9935 | −1.34097 | −0.670484 | − | 0.741924i | \(-0.733913\pi\) | ||||
−0.670484 | + | 0.741924i | \(0.733913\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −11.2400 | −0.682781 | −0.341391 | − | 0.939922i | \(-0.610898\pi\) | ||||
−0.341391 | + | 0.939922i | \(0.610898\pi\) | |||||||
\(272\) | 1.73436 | 0.105161 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −2.49713 | −0.150857 | ||||||||
\(275\) | −2.83318 | −0.170847 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −8.99023 | −0.540170 | −0.270085 | − | 0.962836i | \(-0.587052\pi\) | ||||
−0.270085 | + | 0.962836i | \(0.587052\pi\) | |||||||
\(278\) | −1.48184 | −0.0888747 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 36.8131 | 2.20000 | ||||||||
\(281\) | −26.6926 | −1.59235 | −0.796174 | − | 0.605068i | \(-0.793146\pi\) | ||||
−0.796174 | + | 0.605068i | \(0.793146\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 11.7072 | 0.695920 | 0.347960 | − | 0.937509i | \(-0.386874\pi\) | ||||
0.347960 | + | 0.937509i | \(0.386874\pi\) | |||||||
\(284\) | 3.65591 | 0.216939 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −2.52826 | −0.149499 | ||||||||
\(287\) | −20.9023 | −1.23382 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −15.3670 | −0.903941 | ||||||||
\(290\) | −11.2116 | −0.658369 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 8.79349 | 0.514600 | ||||||||
\(293\) | −3.92311 | −0.229190 | −0.114595 | − | 0.993412i | \(-0.536557\pi\) | ||||
−0.114595 | + | 0.993412i | \(0.536557\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −12.0371 | −0.700827 | ||||||||
\(296\) | 22.8288 | 1.32689 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −5.78139 | −0.334907 | ||||||||
\(299\) | 10.8740 | 0.628860 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 35.4056 | 2.04075 | ||||||||
\(302\) | −3.96786 | −0.228325 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −7.42967 | −0.426121 | ||||||||
\(305\) | −2.79878 | −0.160258 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 16.9334 | 0.966438 | 0.483219 | − | 0.875499i | \(-0.339467\pi\) | ||||
0.483219 | + | 0.875499i | \(0.339467\pi\) | |||||||
\(308\) | −3.93310 | −0.224109 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 2.69386 | 0.153001 | ||||||||
\(311\) | 4.27067 | 0.242167 | 0.121084 | − | 0.992642i | \(-0.461363\pi\) | ||||
0.121084 | + | 0.992642i | \(0.461363\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 10.5476 | 0.596186 | 0.298093 | − | 0.954537i | \(-0.403650\pi\) | ||||
0.298093 | + | 0.954537i | \(0.403650\pi\) | |||||||
\(314\) | −17.8564 | −1.00770 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 9.61584 | 0.540934 | ||||||||
\(317\) | 1.90799 | 0.107163 | 0.0535816 | − | 0.998563i | \(-0.482936\pi\) | ||||
0.0535816 | + | 0.998563i | \(0.482936\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 3.83450 | 0.214691 | ||||||||
\(320\) | 21.2205 | 1.18626 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −20.3191 | −1.13234 | ||||||||
\(323\) | −6.99545 | −0.389237 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 6.85656 | 0.380334 | ||||||||
\(326\) | 19.7331 | 1.09292 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −14.6727 | −0.810167 | ||||||||
\(329\) | −42.8963 | −2.36495 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 9.78394 | 0.537774 | 0.268887 | − | 0.963172i | \(-0.413344\pi\) | ||||
0.268887 | + | 0.963172i | \(0.413344\pi\) | |||||||
\(332\) | −8.49915 | −0.466451 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 2.19562 | 0.120139 | ||||||||
\(335\) | −29.5995 | −1.61719 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −13.9029 | −0.757341 | −0.378671 | − | 0.925531i | \(-0.623619\pi\) | ||||
−0.378671 | + | 0.925531i | \(0.623619\pi\) | |||||||
\(338\) | −7.46241 | −0.405902 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 3.24967 | 0.176238 | ||||||||
\(341\) | −0.921333 | −0.0498930 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −20.5080 | −1.10733 | ||||||||
\(344\) | 24.8536 | 1.34002 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 11.2029 | 0.602269 | ||||||||
\(347\) | −15.2884 | −0.820724 | −0.410362 | − | 0.911923i | \(-0.634598\pi\) | ||||
−0.410362 | + | 0.911923i | \(0.634598\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 26.2711 | 1.40626 | 0.703129 | − | 0.711063i | \(-0.251786\pi\) | ||||
0.703129 | + | 0.711063i | \(0.251786\pi\) | |||||||
\(350\) | −12.8122 | −0.684838 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −4.65936 | −0.248344 | ||||||||
\(353\) | 1.07074 | 0.0569896 | 0.0284948 | − | 0.999594i | \(-0.490929\pi\) | ||||
0.0284948 | + | 0.999594i | \(0.490929\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −11.2613 | −0.597687 | ||||||||
\(356\) | 10.3719 | 0.549710 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −20.5763 | −1.08749 | ||||||||
\(359\) | −9.42762 | −0.497571 | −0.248785 | − | 0.968559i | \(-0.580031\pi\) | ||||
−0.248785 | + | 0.968559i | \(0.580031\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 10.9671 | 0.577216 | ||||||||
\(362\) | −27.6013 | −1.45069 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 9.51848 | 0.498904 | ||||||||
\(365\) | −27.0865 | −1.41777 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −7.94473 | −0.414711 | −0.207356 | − | 0.978266i | \(-0.566486\pi\) | ||||
−0.207356 | + | 0.978266i | \(0.566486\pi\) | |||||||
\(368\) | −6.09824 | −0.317893 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −21.9668 | −1.14200 | ||||||||
\(371\) | 39.1202 | 2.03102 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 12.6905 | 0.657090 | 0.328545 | − | 0.944488i | \(-0.393442\pi\) | ||||
0.328545 | + | 0.944488i | \(0.393442\pi\) | |||||||
\(374\) | 1.33501 | 0.0690315 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −30.1118 | −1.55290 | ||||||||
\(377\) | −9.27986 | −0.477937 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −6.89596 | −0.354222 | −0.177111 | − | 0.984191i | \(-0.556675\pi\) | ||||
−0.177111 | + | 0.984191i | \(0.556675\pi\) | |||||||
\(380\) | −13.9209 | −0.714130 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 4.15940 | 0.212814 | ||||||||
\(383\) | 27.3587 | 1.39796 | 0.698981 | − | 0.715140i | \(-0.253637\pi\) | ||||
0.698981 | + | 0.715140i | \(0.253637\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 12.1151 | 0.617443 | ||||||||
\(386\) | 22.0816 | 1.12392 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 14.7314 | 0.747872 | ||||||||
\(389\) | 5.36933 | 0.272236 | 0.136118 | − | 0.990693i | \(-0.456537\pi\) | ||||
0.136118 | + | 0.990693i | \(0.456537\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −5.74183 | −0.290377 | ||||||||
\(392\) | −35.6663 | −1.80142 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −0.127456 | −0.00642112 | ||||||||
\(395\) | −29.6196 | −1.49032 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 21.9613 | 1.10221 | 0.551103 | − | 0.834437i | \(-0.314207\pi\) | ||||
0.551103 | + | 0.834437i | \(0.314207\pi\) | |||||||
\(398\) | −17.9248 | −0.898488 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.84522 | −0.192261 | ||||||||
\(401\) | 8.13964 | 0.406474 | 0.203237 | − | 0.979130i | \(-0.434854\pi\) | ||||
0.203237 | + | 0.979130i | \(0.434854\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 2.22971 | 0.111070 | ||||||||
\(404\) | 0.750489 | 0.0373382 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 17.3403 | 0.860585 | ||||||||
\(407\) | 7.51289 | 0.372400 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −12.2607 | −0.606251 | −0.303125 | − | 0.952951i | \(-0.598030\pi\) | ||||
−0.303125 | + | 0.952951i | \(0.598030\pi\) | |||||||
\(410\) | 14.1187 | 0.697274 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −3.46419 | −0.170669 | ||||||||
\(413\) | 18.6170 | 0.916085 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 26.1799 | 1.28512 | ||||||||
\(416\) | 11.2761 | 0.552855 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −5.71890 | −0.279721 | ||||||||
\(419\) | 18.8611 | 0.921427 | 0.460713 | − | 0.887549i | \(-0.347594\pi\) | ||||
0.460713 | + | 0.887549i | \(0.347594\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.07757 | 0.149992 | 0.0749958 | − | 0.997184i | \(-0.476106\pi\) | ||||
0.0749958 | + | 0.997184i | \(0.476106\pi\) | |||||||
\(422\) | 3.89719 | 0.189712 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 27.4612 | 1.33363 | ||||||||
\(425\) | −3.62049 | −0.175619 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 4.32870 | 0.209481 | ||||||||
\(428\) | −14.0018 | −0.676804 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −23.9152 | −1.15329 | ||||||||
\(431\) | 2.15924 | 0.104007 | 0.0520034 | − | 0.998647i | \(-0.483439\pi\) | ||||
0.0520034 | + | 0.998647i | \(0.483439\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −24.2999 | −1.16778 | −0.583889 | − | 0.811833i | \(-0.698470\pi\) | ||||
−0.583889 | + | 0.811833i | \(0.698470\pi\) | |||||||
\(434\) | −4.16643 | −0.199995 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −5.45130 | −0.261070 | ||||||||
\(437\) | 24.5969 | 1.17663 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −40.3487 | −1.92574 | −0.962869 | − | 0.269971i | \(-0.912986\pi\) | ||||
−0.962869 | + | 0.269971i | \(0.912986\pi\) | |||||||
\(440\) | 8.50442 | 0.405432 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −3.23084 | −0.153675 | ||||||||
\(443\) | 36.8185 | 1.74930 | 0.874650 | − | 0.484755i | \(-0.161091\pi\) | ||||
0.874650 | + | 0.484755i | \(0.161091\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −31.9485 | −1.51450 | ||||||||
\(446\) | 26.4032 | 1.25023 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −32.8204 | −1.55062 | ||||||||
\(449\) | 23.1714 | 1.09353 | 0.546764 | − | 0.837287i | \(-0.315859\pi\) | ||||
0.546764 | + | 0.837287i | \(0.315859\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −4.82876 | −0.227378 | ||||||||
\(452\) | 16.7812 | 0.789322 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 2.10826 | 0.0989456 | ||||||||
\(455\) | −29.3197 | −1.37453 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 12.7892 | 0.598252 | 0.299126 | − | 0.954214i | \(-0.403305\pi\) | ||||
0.299126 | + | 0.954214i | \(0.403305\pi\) | |||||||
\(458\) | 17.3343 | 0.809979 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −11.4263 | −0.532752 | ||||||||
\(461\) | 10.9121 | 0.508227 | 0.254113 | − | 0.967174i | \(-0.418216\pi\) | ||||
0.254113 | + | 0.967174i | \(0.418216\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −23.5247 | −1.09328 | −0.546642 | − | 0.837366i | \(-0.684094\pi\) | ||||
−0.546642 | + | 0.837366i | \(0.684094\pi\) | |||||||
\(464\) | 5.20422 | 0.241600 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 24.3657 | 1.12872 | ||||||||
\(467\) | −12.8256 | −0.593499 | −0.296749 | − | 0.954955i | \(-0.595903\pi\) | ||||
−0.296749 | + | 0.954955i | \(0.595903\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 45.7796 | 2.11391 | ||||||||
\(470\) | 28.9748 | 1.33651 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 13.0686 | 0.601530 | ||||||||
\(473\) | 8.17926 | 0.376083 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 15.5095 | 0.711623 | ||||||||
\(476\) | −5.02606 | −0.230369 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 29.1575 | 1.33363 | ||||||||
\(479\) | −0.809863 | −0.0370036 | −0.0185018 | − | 0.999829i | \(-0.505890\pi\) | ||||
−0.0185018 | + | 0.999829i | \(0.505890\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −18.1819 | −0.829023 | ||||||||
\(482\) | 16.9134 | 0.770386 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −0.908610 | −0.0413004 | ||||||||
\(485\) | −45.3769 | −2.06046 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 10.0691 | 0.456274 | 0.228137 | − | 0.973629i | \(-0.426737\pi\) | ||||
0.228137 | + | 0.973629i | \(0.426737\pi\) | |||||||
\(488\) | 3.03861 | 0.137552 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 34.3195 | 1.55040 | ||||||||
\(491\) | 27.5136 | 1.24167 | 0.620836 | − | 0.783940i | \(-0.286793\pi\) | ||||
0.620836 | + | 0.783940i | \(0.286793\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 4.90007 | 0.220688 | ||||||||
\(494\) | 13.8403 | 0.622704 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.25044 | −0.0561465 | ||||||||
\(497\) | 17.4171 | 0.781265 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −24.1975 | −1.08323 | −0.541615 | − | 0.840627i | \(-0.682187\pi\) | ||||
−0.541615 | + | 0.840627i | \(0.682187\pi\) | |||||||
\(500\) | 5.51022 | 0.246425 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −17.8462 | −0.796516 | ||||||||
\(503\) | 4.83125 | 0.215415 | 0.107707 | − | 0.994183i | \(-0.465649\pi\) | ||||
0.107707 | + | 0.994183i | \(0.465649\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2.31172 | −0.102870 | ||||||||
\(506\) | −4.69405 | −0.208676 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 11.9547 | 0.530406 | ||||||||
\(509\) | −41.1026 | −1.82184 | −0.910920 | − | 0.412583i | \(-0.864627\pi\) | ||||
−0.910920 | + | 0.412583i | \(0.864627\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 41.8930 | 1.85324 | ||||||||
\(512\) | −14.5718 | −0.643988 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 10.0665 | 0.444016 | ||||||||
\(515\) | 10.6707 | 0.470208 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −9.90973 | −0.435829 | ||||||||
\(518\) | 33.9746 | 1.49276 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −20.5815 | −0.902558 | ||||||||
\(521\) | −35.1732 | −1.54097 | −0.770483 | − | 0.637461i | \(-0.779985\pi\) | ||||
−0.770483 | + | 0.637461i | \(0.779985\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 24.9263 | 1.08995 | 0.544975 | − | 0.838453i | \(-0.316539\pi\) | ||||
0.544975 | + | 0.838453i | \(0.316539\pi\) | |||||||
\(524\) | 12.8119 | 0.559690 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −26.5707 | −1.15854 | ||||||||
\(527\) | −1.17736 | −0.0512866 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −2.81100 | −0.122217 | ||||||||
\(530\) | −26.4242 | −1.14780 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 21.5307 | 0.933473 | ||||||||
\(533\) | 11.6861 | 0.506180 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 43.1297 | 1.86466 | ||||||||
\(536\) | 32.1359 | 1.38806 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −22.9765 | −0.990589 | ||||||||
\(539\) | −11.7377 | −0.505577 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 25.9974 | 1.11772 | 0.558858 | − | 0.829263i | \(-0.311240\pi\) | ||||
0.558858 | + | 0.829263i | \(0.311240\pi\) | |||||||
\(542\) | −11.7424 | −0.504379 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −5.95414 | −0.255281 | ||||||||
\(545\) | 16.7916 | 0.719273 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −7.05671 | −0.301723 | −0.150862 | − | 0.988555i | \(-0.548205\pi\) | ||||
−0.150862 | + | 0.988555i | \(0.548205\pi\) | |||||||
\(548\) | 2.17185 | 0.0927766 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −2.95981 | −0.126207 | ||||||||
\(551\) | −20.9909 | −0.894243 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 45.8108 | 1.94807 | ||||||||
\(554\) | −9.39206 | −0.399030 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1.28881 | 0.0546576 | ||||||||
\(557\) | −22.6508 | −0.959745 | −0.479873 | − | 0.877338i | \(-0.659317\pi\) | ||||
−0.479873 | + | 0.877338i | \(0.659317\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −19.7946 | −0.837222 | ||||||||
\(560\) | 16.4427 | 0.694832 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −27.8857 | −1.17629 | ||||||||
\(563\) | −41.5219 | −1.74994 | −0.874971 | − | 0.484176i | \(-0.839120\pi\) | ||||
−0.874971 | + | 0.484176i | \(0.839120\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −51.6910 | −2.17466 | ||||||||
\(566\) | 12.2305 | 0.514084 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 12.2263 | 0.513003 | ||||||||
\(569\) | 3.83373 | 0.160718 | 0.0803592 | − | 0.996766i | \(-0.474393\pi\) | ||||
0.0803592 | + | 0.996766i | \(0.474393\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 22.4937 | 0.941333 | 0.470667 | − | 0.882311i | \(-0.344013\pi\) | ||||
0.470667 | + | 0.882311i | \(0.344013\pi\) | |||||||
\(572\) | 2.19892 | 0.0919415 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −21.8365 | −0.911440 | ||||||||
\(575\) | 12.7301 | 0.530882 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 28.8540 | 1.20121 | 0.600604 | − | 0.799547i | \(-0.294927\pi\) | ||||
0.600604 | + | 0.799547i | \(0.294927\pi\) | |||||||
\(578\) | −16.0538 | −0.667752 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 9.75114 | 0.404894 | ||||||||
\(581\) | −40.4908 | −1.67984 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 9.03740 | 0.374291 | ||||||||
\(584\) | 29.4076 | 1.21689 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −4.09845 | −0.169306 | ||||||||
\(587\) | −36.6854 | −1.51417 | −0.757084 | − | 0.653318i | \(-0.773377\pi\) | ||||
−0.757084 | + | 0.653318i | \(0.773377\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 5.04358 | 0.207817 | ||||||||
\(590\) | −12.5751 | −0.517709 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 10.1966 | 0.419076 | ||||||||
\(593\) | −7.14294 | −0.293325 | −0.146663 | − | 0.989187i | \(-0.546853\pi\) | ||||
−0.146663 | + | 0.989187i | \(0.546853\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 15.4817 | 0.634690 | ||||||||
\(596\) | 5.02828 | 0.205966 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 11.3600 | 0.464547 | ||||||||
\(599\) | 1.36897 | 0.0559348 | 0.0279674 | − | 0.999609i | \(-0.491097\pi\) | ||||
0.0279674 | + | 0.999609i | \(0.491097\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −44.8728 | −1.83040 | −0.915201 | − | 0.402999i | \(-0.867968\pi\) | ||||
−0.915201 | + | 0.402999i | \(0.867968\pi\) | |||||||
\(602\) | 36.9881 | 1.50752 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 3.45099 | 0.140419 | ||||||||
\(605\) | 2.79878 | 0.113787 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −6.57008 | −0.266671 | −0.133336 | − | 0.991071i | \(-0.542569\pi\) | ||||
−0.133336 | + | 0.991071i | \(0.542569\pi\) | |||||||
\(608\) | 25.5063 | 1.03442 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −2.92388 | −0.118384 | ||||||||
\(611\) | 23.9825 | 0.970227 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 19.6075 | 0.791941 | 0.395971 | − | 0.918263i | \(-0.370408\pi\) | ||||
0.395971 | + | 0.918263i | \(0.370408\pi\) | |||||||
\(614\) | 17.6902 | 0.713919 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −13.1533 | −0.529960 | ||||||||
\(617\) | −9.44772 | −0.380351 | −0.190175 | − | 0.981750i | \(-0.560906\pi\) | ||||
−0.190175 | + | 0.981750i | \(0.560906\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 26.4430 | 1.06283 | 0.531416 | − | 0.847111i | \(-0.321660\pi\) | ||||
0.531416 | + | 0.847111i | \(0.321660\pi\) | |||||||
\(620\) | −2.34295 | −0.0940951 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 4.46155 | 0.178892 | ||||||||
\(623\) | 49.4128 | 1.97968 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −31.1390 | −1.24556 | ||||||||
\(626\) | 11.0190 | 0.440409 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 15.5304 | 0.619729 | ||||||||
\(629\) | 9.60063 | 0.382802 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −14.8228 | −0.590088 | −0.295044 | − | 0.955484i | \(-0.595334\pi\) | ||||
−0.295044 | + | 0.955484i | \(0.595334\pi\) | |||||||
\(632\) | 32.1577 | 1.27917 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 1.99327 | 0.0791627 | ||||||||
\(635\) | −36.8241 | −1.46132 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 28.4063 | 1.12550 | ||||||||
\(638\) | 4.00589 | 0.158595 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −3.91211 | −0.154640 | ||||||||
\(641\) | −47.7755 | −1.88702 | −0.943510 | − | 0.331345i | \(-0.892497\pi\) | ||||
−0.943510 | + | 0.331345i | \(0.892497\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −20.5426 | −0.810121 | −0.405060 | − | 0.914290i | \(-0.632750\pi\) | ||||
−0.405060 | + | 0.914290i | \(0.632750\pi\) | |||||||
\(644\) | 17.6723 | 0.696385 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −7.30812 | −0.287534 | ||||||||
\(647\) | 9.72268 | 0.382238 | 0.191119 | − | 0.981567i | \(-0.438788\pi\) | ||||
0.191119 | + | 0.981567i | \(0.438788\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 4.30084 | 0.168823 | ||||||||
\(650\) | 7.16303 | 0.280957 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −17.1626 | −0.672139 | ||||||||
\(653\) | −4.76982 | −0.186658 | −0.0933288 | − | 0.995635i | \(-0.529751\pi\) | ||||
−0.0933288 | + | 0.995635i | \(0.529751\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −39.4644 | −1.54200 | ||||||||
\(656\) | −6.55364 | −0.255877 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −44.8136 | −1.74702 | ||||||||
\(659\) | −34.0252 | −1.32543 | −0.662716 | − | 0.748871i | \(-0.730596\pi\) | ||||
−0.662716 | + | 0.748871i | \(0.730596\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −35.3308 | −1.37421 | −0.687104 | − | 0.726559i | \(-0.741119\pi\) | ||||
−0.687104 | + | 0.726559i | \(0.741119\pi\) | |||||||
\(662\) | 10.2212 | 0.397260 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −28.4232 | −1.10304 | ||||||||
\(665\) | −66.3207 | −2.57181 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −17.2293 | −0.667119 | ||||||||
\(668\) | −1.90961 | −0.0738849 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −30.9224 | −1.19464 | ||||||||
\(671\) | 1.00000 | 0.0386046 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 29.7522 | 1.14686 | 0.573432 | − | 0.819253i | \(-0.305612\pi\) | ||||
0.573432 | + | 0.819253i | \(0.305612\pi\) | |||||||
\(674\) | −14.5243 | −0.559457 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 6.49033 | 0.249628 | ||||||||
\(677\) | −10.9778 | −0.421911 | −0.210956 | − | 0.977496i | \(-0.567658\pi\) | ||||
−0.210956 | + | 0.977496i | \(0.567658\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 70.1816 | 2.69332 | ||||||||
\(680\) | 10.8677 | 0.416757 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.962513 | −0.0368565 | ||||||||
\(683\) | 7.69966 | 0.294619 | 0.147310 | − | 0.989090i | \(-0.452939\pi\) | ||||
0.147310 | + | 0.989090i | \(0.452939\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −6.68992 | −0.255609 | ||||||||
\(686\) | −21.4246 | −0.817996 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 11.1010 | 0.423221 | ||||||||
\(689\) | −21.8714 | −0.833232 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 18.9627 | 0.721376 | 0.360688 | − | 0.932687i | \(-0.382542\pi\) | ||||
0.360688 | + | 0.932687i | \(0.382542\pi\) | |||||||
\(692\) | −9.74352 | −0.370393 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −15.9717 | −0.606278 | ||||||||
\(695\) | −3.96990 | −0.150587 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −6.17062 | −0.233729 | ||||||||
\(698\) | 27.4453 | 1.03882 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 11.1432 | 0.421173 | ||||||||
\(701\) | 12.9447 | 0.488914 | 0.244457 | − | 0.969660i | \(-0.421390\pi\) | ||||
0.244457 | + | 0.969660i | \(0.421390\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −41.1272 | −1.55114 | ||||||||
\(704\) | −7.58203 | −0.285759 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 1.11859 | 0.0420989 | ||||||||
\(707\) | 3.57540 | 0.134467 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −35.8799 | −1.34750 | −0.673749 | − | 0.738961i | \(-0.735317\pi\) | ||||
−0.673749 | + | 0.738961i | \(0.735317\pi\) | |||||||
\(710\) | −11.7646 | −0.441518 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 34.6862 | 1.29992 | ||||||||
\(713\) | 4.13975 | 0.155035 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −6.77332 | −0.253308 | ||||||||
\(716\) | 17.8960 | 0.668804 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −9.84900 | −0.367562 | ||||||||
\(719\) | 22.0081 | 0.820764 | 0.410382 | − | 0.911914i | \(-0.365395\pi\) | ||||
0.410382 | + | 0.911914i | \(0.365395\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −16.5037 | −0.614632 | ||||||||
\(722\) | 11.4573 | 0.426397 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 24.0058 | 0.892169 | ||||||||
\(725\) | −10.8638 | −0.403473 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 17.5655 | 0.651467 | 0.325733 | − | 0.945462i | \(-0.394389\pi\) | ||||
0.325733 | + | 0.945462i | \(0.394389\pi\) | |||||||
\(728\) | 31.8321 | 1.17978 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −28.2972 | −1.04733 | ||||||||
\(731\) | 10.4522 | 0.386588 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −39.6252 | −1.46359 | −0.731796 | − | 0.681524i | \(-0.761318\pi\) | ||||
−0.731796 | + | 0.681524i | \(0.761318\pi\) | |||||||
\(734\) | −8.29983 | −0.306352 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 20.9355 | 0.771693 | ||||||||
\(737\) | 10.5758 | 0.389566 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 24.2721 | 0.892865 | 0.446433 | − | 0.894817i | \(-0.352694\pi\) | ||||
0.446433 | + | 0.894817i | \(0.352694\pi\) | |||||||
\(740\) | 19.1053 | 0.702324 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 40.8687 | 1.50034 | ||||||||
\(743\) | −5.37873 | −0.197326 | −0.0986632 | − | 0.995121i | \(-0.531457\pi\) | ||||
−0.0986632 | + | 0.995121i | \(0.531457\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −15.4886 | −0.567457 | ||||||||
\(746\) | 13.2577 | 0.485400 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −1.16110 | −0.0424541 | ||||||||
\(749\) | −66.7060 | −2.43739 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 32.3243 | 1.17953 | 0.589766 | − | 0.807574i | \(-0.299220\pi\) | ||||
0.589766 | + | 0.807574i | \(0.299220\pi\) | |||||||
\(752\) | −13.4496 | −0.490456 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −9.69464 | −0.353058 | ||||||||
\(755\) | −10.6301 | −0.386867 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 20.8951 | 0.759446 | 0.379723 | − | 0.925100i | \(-0.376019\pi\) | ||||
0.379723 | + | 0.925100i | \(0.376019\pi\) | |||||||
\(758\) | −7.20418 | −0.261668 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −46.5551 | −1.68873 | ||||||||
\(761\) | 8.09143 | 0.293314 | 0.146657 | − | 0.989187i | \(-0.453149\pi\) | ||||
0.146657 | + | 0.989187i | \(0.453149\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −25.9705 | −0.940196 | ||||||||
\(764\) | −3.61758 | −0.130879 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 28.5815 | 1.03269 | ||||||||
\(767\) | −10.4084 | −0.375827 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 2.73230 | 0.0985294 | 0.0492647 | − | 0.998786i | \(-0.484312\pi\) | ||||
0.0492647 | + | 0.998786i | \(0.484312\pi\) | |||||||
\(770\) | 12.6566 | 0.456112 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −19.2052 | −0.691209 | ||||||||
\(773\) | −20.4205 | −0.734474 | −0.367237 | − | 0.930127i | \(-0.619696\pi\) | ||||
−0.367237 | + | 0.930127i | \(0.619696\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 2.61030 | 0.0937648 | ||||||||
\(776\) | 49.2653 | 1.76852 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 5.60932 | 0.201104 | ||||||||
\(779\) | 26.4337 | 0.947087 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 4.02364 | 0.143977 | ||||||||
\(782\) | −5.99847 | −0.214505 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −15.9305 | −0.568946 | ||||||||
\(785\) | −47.8380 | −1.70741 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 32.7385 | 1.16700 | 0.583500 | − | 0.812113i | \(-0.301683\pi\) | ||||
0.583500 | + | 0.812113i | \(0.301683\pi\) | |||||||
\(788\) | 0.110853 | 0.00394896 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −30.9435 | −1.10092 | ||||||||
\(791\) | 79.9473 | 2.84260 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −2.42009 | −0.0859401 | ||||||||
\(794\) | 22.9429 | 0.814213 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 15.5898 | 0.552566 | ||||||||
\(797\) | −27.2102 | −0.963834 | −0.481917 | − | 0.876217i | \(-0.660059\pi\) | ||||
−0.481917 | + | 0.876217i | \(0.660059\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −12.6635 | −0.448003 | ||||||||
\(800\) | 13.2008 | 0.466719 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 8.50345 | 0.300267 | ||||||||
\(803\) | 9.67796 | 0.341528 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −54.4358 | −1.91861 | ||||||||
\(806\) | 2.32937 | 0.0820487 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 2.50982 | 0.0882952 | ||||||||
\(809\) | 1.42448 | 0.0500821 | 0.0250411 | − | 0.999686i | \(-0.492028\pi\) | ||||
0.0250411 | + | 0.999686i | \(0.492028\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 21.9405 | 0.770434 | 0.385217 | − | 0.922826i | \(-0.374127\pi\) | ||||
0.385217 | + | 0.922826i | \(0.374127\pi\) | |||||||
\(812\) | −15.0815 | −0.529257 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 7.84869 | 0.275096 | ||||||||
\(815\) | 52.8658 | 1.85181 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −44.7751 | −1.56648 | ||||||||
\(818\) | −12.8087 | −0.447845 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −12.2795 | −0.428820 | ||||||||
\(821\) | −31.4598 | −1.09796 | −0.548978 | − | 0.835837i | \(-0.684983\pi\) | ||||
−0.548978 | + | 0.835837i | \(0.684983\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −32.3429 | −1.12740 | −0.563701 | − | 0.825979i | \(-0.690623\pi\) | ||||
−0.563701 | + | 0.825979i | \(0.690623\pi\) | |||||||
\(824\) | −11.5851 | −0.403586 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 19.4492 | 0.676723 | ||||||||
\(827\) | 15.6607 | 0.544576 | 0.272288 | − | 0.962216i | \(-0.412220\pi\) | ||||
0.272288 | + | 0.962216i | \(0.412220\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 7.37509 | 0.256147 | 0.128074 | − | 0.991765i | \(-0.459121\pi\) | ||||
0.128074 | + | 0.991765i | \(0.459121\pi\) | |||||||
\(830\) | 27.3500 | 0.949332 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 18.3492 | 0.636145 | ||||||||
\(833\) | −14.9994 | −0.519700 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 5.88214 | 0.203560 | ||||||||
\(836\) | 4.97393 | 0.172027 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 19.7042 | 0.680669 | ||||||||
\(839\) | −32.8520 | −1.13418 | −0.567088 | − | 0.823657i | \(-0.691930\pi\) | ||||
−0.567088 | + | 0.823657i | \(0.691930\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −14.2966 | −0.492986 | ||||||||
\(842\) | 3.21513 | 0.110801 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −3.38952 | −0.116672 | ||||||||
\(845\) | −19.9921 | −0.687749 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −4.32870 | −0.148736 | ||||||||
\(848\) | 12.2656 | 0.421204 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −3.78231 | −0.129732 | ||||||||
\(851\) | −33.7570 | −1.15718 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 49.2231 | 1.68537 | 0.842684 | − | 0.538409i | \(-0.180975\pi\) | ||||
0.842684 | + | 0.538409i | \(0.180975\pi\) | |||||||
\(854\) | 4.52218 | 0.154746 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −46.8255 | −1.60046 | ||||||||
\(857\) | 12.0223 | 0.410672 | 0.205336 | − | 0.978691i | \(-0.434171\pi\) | ||||
0.205336 | + | 0.978691i | \(0.434171\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 46.9504 | 1.60193 | 0.800964 | − | 0.598713i | \(-0.204321\pi\) | ||||
0.800964 | + | 0.598713i | \(0.204321\pi\) | |||||||
\(860\) | 20.7999 | 0.709270 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 2.25575 | 0.0768311 | ||||||||
\(863\) | 2.14569 | 0.0730401 | 0.0365201 | − | 0.999333i | \(-0.488373\pi\) | ||||
0.0365201 | + | 0.999333i | \(0.488373\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 30.0129 | 1.02047 | ||||||||
\(866\) | −25.3860 | −0.862652 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 3.62370 | 0.122996 | ||||||||
\(869\) | 10.5830 | 0.359005 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −25.5945 | −0.867237 | ||||||||
\(872\) | −18.2305 | −0.617362 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 25.6963 | 0.869189 | ||||||||
\(875\) | 26.2512 | 0.887454 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 34.8679 | 1.17741 | 0.588703 | − | 0.808349i | \(-0.299639\pi\) | ||||
0.588703 | + | 0.808349i | \(0.299639\pi\) | |||||||
\(878\) | −42.1521 | −1.42256 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 3.79853 | 0.128049 | ||||||||
\(881\) | 8.43752 | 0.284267 | 0.142134 | − | 0.989847i | \(-0.454604\pi\) | ||||
0.142134 | + | 0.989847i | \(0.454604\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −29.1483 | −0.980920 | −0.490460 | − | 0.871464i | \(-0.663171\pi\) | ||||
−0.490460 | + | 0.871464i | \(0.663171\pi\) | |||||||
\(884\) | 2.80998 | 0.0945097 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 38.4642 | 1.29223 | ||||||||
\(887\) | 7.20367 | 0.241876 | 0.120938 | − | 0.992660i | \(-0.461410\pi\) | ||||
0.120938 | + | 0.992660i | \(0.461410\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 56.9536 | 1.91016 | ||||||||
\(890\) | −33.3765 | −1.11878 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −22.9638 | −0.768885 | ||||||||
\(893\) | 54.2481 | 1.81534 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −55.1248 | −1.84262 | ||||||||
\(896\) | 6.05063 | 0.202137 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 24.2071 | 0.807802 | ||||||||
\(899\) | −3.53285 | −0.117827 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 11.5488 | 0.384746 | ||||||||
\(902\) | −5.04459 | −0.167967 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 56.1205 | 1.86654 | ||||||||
\(905\) | −73.9449 | −2.45801 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 54.3748 | 1.80549 | 0.902743 | − | 0.430179i | \(-0.141550\pi\) | ||||
0.902743 | + | 0.430179i | \(0.141550\pi\) | |||||||
\(908\) | −1.83363 | −0.0608511 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −30.6302 | −1.01538 | ||||||||
\(911\) | 52.3016 | 1.73283 | 0.866415 | − | 0.499325i | \(-0.166419\pi\) | ||||
0.866415 | + | 0.499325i | \(0.166419\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −9.35402 | −0.309573 | ||||||||
\(914\) | 13.3608 | 0.441936 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −15.0763 | −0.498134 | ||||||||
\(917\) | 61.0371 | 2.01562 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 15.3827 | 0.507428 | 0.253714 | − | 0.967279i | \(-0.418348\pi\) | ||||
0.253714 | + | 0.967279i | \(0.418348\pi\) | |||||||
\(920\) | −38.2122 | −1.25982 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 11.3998 | 0.375433 | ||||||||
\(923\) | −9.73758 | −0.320516 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −21.2854 | −0.699858 | ||||||||
\(926\) | −24.5762 | −0.807622 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −17.8663 | −0.586491 | ||||||||
\(929\) | 0.723184 | 0.0237269 | 0.0118635 | − | 0.999930i | \(-0.496224\pi\) | ||||
0.0118635 | + | 0.999930i | \(0.496224\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 64.2546 | 2.10586 | ||||||||
\(932\) | −21.1917 | −0.694158 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −13.3989 | −0.438425 | ||||||||
\(935\) | 3.57653 | 0.116965 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −12.3757 | −0.404297 | −0.202148 | − | 0.979355i | \(-0.564792\pi\) | ||||
−0.202148 | + | 0.979355i | \(0.564792\pi\) | |||||||
\(938\) | 47.8258 | 1.56157 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −25.2004 | −0.821948 | ||||||||
\(941\) | −29.1545 | −0.950408 | −0.475204 | − | 0.879876i | \(-0.657626\pi\) | ||||
−0.475204 | + | 0.879876i | \(0.657626\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 21.6967 | 0.706541 | ||||||||
\(944\) | 5.83713 | 0.189983 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 8.54485 | 0.277817 | ||||||||
\(947\) | −17.9883 | −0.584540 | −0.292270 | − | 0.956336i | \(-0.594411\pi\) | ||||
−0.292270 | + | 0.956336i | \(0.594411\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −23.4216 | −0.760297 | ||||||||
\(950\) | 16.2027 | 0.525684 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −16.8084 | −0.544763 | ||||||||
\(953\) | −47.0445 | −1.52392 | −0.761960 | − | 0.647625i | \(-0.775763\pi\) | ||||
−0.761960 | + | 0.647625i | \(0.775763\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 11.1432 | 0.360586 | ||||||||
\(956\) | −25.3593 | −0.820178 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −0.846061 | −0.0273350 | ||||||||
\(959\) | 10.3469 | 0.334118 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −30.1511 | −0.972618 | ||||||||
\(962\) | −18.9946 | −0.612409 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −14.7102 | −0.473784 | ||||||||
\(965\) | 59.1575 | 1.90435 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 12.0189 | 0.386502 | 0.193251 | − | 0.981149i | \(-0.438097\pi\) | ||||
0.193251 | + | 0.981149i | \(0.438097\pi\) | |||||||
\(968\) | −3.03861 | −0.0976647 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −47.4051 | −1.52208 | ||||||||
\(971\) | −30.3964 | −0.975467 | −0.487733 | − | 0.872993i | \(-0.662176\pi\) | ||||
−0.487733 | + | 0.872993i | \(0.662176\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 6.14000 | 0.196839 | ||||||||
\(974\) | 10.5192 | 0.337055 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 1.35721 | 0.0434432 | ||||||||
\(977\) | −48.5752 | −1.55406 | −0.777030 | − | 0.629464i | \(-0.783275\pi\) | ||||
−0.777030 | + | 0.629464i | \(0.783275\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 11.4151 | 0.364830 | ||||||||
\(980\) | −29.8489 | −0.953488 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 28.7434 | 0.917238 | ||||||||
\(983\) | −24.6759 | −0.787039 | −0.393519 | − | 0.919316i | \(-0.628743\pi\) | ||||
−0.393519 | + | 0.919316i | \(0.628743\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −0.341458 | −0.0108798 | ||||||||
\(986\) | 5.11908 | 0.163025 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −12.0374 | −0.382960 | ||||||||
\(989\) | −36.7512 | −1.16862 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 2.12597 | 0.0675336 | 0.0337668 | − | 0.999430i | \(-0.489250\pi\) | ||||
0.0337668 | + | 0.999430i | \(0.489250\pi\) | |||||||
\(992\) | 4.29282 | 0.136297 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 18.1956 | 0.577130 | ||||||||
\(995\) | −48.0212 | −1.52237 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −18.2192 | −0.577008 | −0.288504 | − | 0.957479i | \(-0.593158\pi\) | ||||
−0.288504 | + | 0.957479i | \(0.593158\pi\) | |||||||
\(998\) | −25.2791 | −0.800195 | ||||||||
\(999\) | 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 | 6039.2.a.n.1.17 | ✓ | 25 | |
3.2 | odd | 2 | 6039.2.a.o.1.9 | yes | 25 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
6039.2.a.n.1.17 | ✓ | 25 | 1.1 | even | 1 | trivial | |
6039.2.a.o.1.9 | yes | 25 | 3.2 | odd | 2 |