Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [6008,2,Mod(1,6008)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(6008, 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("6008.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 6008 = 2^{3} \cdot 751 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6008.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: | \(47.9741215344\) |
Analytic rank: | \(1\) |
Dimension: | \(44\) |
Twist minimal: | yes |
Fricke sign: | \(1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.20 | ||
Character | \(\chi\) | \(=\) | 6008.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.214146 | −0.123637 | −0.0618186 | − | 0.998087i | \(-0.519690\pi\) | ||||
−0.0618186 | + | 0.998087i | \(0.519690\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −4.30470 | −1.92512 | −0.962561 | − | 0.271065i | \(-0.912624\pi\) | ||||
−0.962561 | + | 0.271065i | \(0.912624\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.13393 | −0.806550 | −0.403275 | − | 0.915079i | \(-0.632128\pi\) | ||||
−0.403275 | + | 0.915079i | \(0.632128\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.95414 | −0.984714 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.0877904 | −0.0264698 | −0.0132349 | − | 0.999912i | \(-0.504213\pi\) | ||||
−0.0132349 | + | 0.999912i | \(0.504213\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.38665 | 0.661938 | 0.330969 | − | 0.943642i | \(-0.392624\pi\) | ||||
0.330969 | + | 0.943642i | \(0.392624\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.921835 | 0.238017 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −1.95558 | −0.474299 | −0.237149 | − | 0.971473i | \(-0.576213\pi\) | ||||
−0.237149 | + | 0.971473i | \(0.576213\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.91343 | 0.668387 | 0.334193 | − | 0.942504i | \(-0.391536\pi\) | ||||
0.334193 | + | 0.942504i | \(0.391536\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.456973 | 0.0997196 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 6.47045 | 1.34918 | 0.674591 | − | 0.738191i | \(-0.264320\pi\) | ||||
0.674591 | + | 0.738191i | \(0.264320\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 13.5305 | 2.70610 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 1.27506 | 0.245385 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −2.77740 | −0.515751 | −0.257875 | − | 0.966178i | \(-0.583022\pi\) | ||||
−0.257875 | + | 0.966178i | \(0.583022\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −10.3265 | −1.85469 | −0.927345 | − | 0.374208i | \(-0.877915\pi\) | ||||
−0.927345 | + | 0.374208i | \(0.877915\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.0188000 | 0.00327265 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 9.18594 | 1.55271 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 11.5991 | 1.90688 | 0.953438 | − | 0.301588i | \(-0.0975167\pi\) | ||||
0.953438 | + | 0.301588i | \(0.0975167\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −0.511092 | −0.0818402 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 6.66620 | 1.04109 | 0.520543 | − | 0.853835i | \(-0.325730\pi\) | ||||
0.520543 | + | 0.853835i | \(0.325730\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.47308 | −0.377142 | −0.188571 | − | 0.982060i | \(-0.560385\pi\) | ||||
−0.188571 | + | 0.982060i | \(0.560385\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 12.7167 | 1.89569 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 5.00972 | 0.730743 | 0.365371 | − | 0.930862i | \(-0.380942\pi\) | ||||
0.365371 | + | 0.930862i | \(0.380942\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.44634 | −0.349477 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.418780 | 0.0586410 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −3.85490 | −0.529511 | −0.264756 | − | 0.964316i | \(-0.585291\pi\) | ||||
−0.264756 | + | 0.964316i | \(0.585291\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.377912 | 0.0509576 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.623900 | −0.0826375 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 12.1843 | 1.58626 | 0.793131 | − | 0.609051i | \(-0.208449\pi\) | ||||
0.793131 | + | 0.609051i | \(0.208449\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.59295 | −0.588067 | −0.294033 | − | 0.955795i | \(-0.594998\pi\) | ||||
−0.294033 | + | 0.955795i | \(0.594998\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 6.30393 | 0.794221 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −10.2738 | −1.27431 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.28239 | 0.156669 | 0.0783343 | − | 0.996927i | \(-0.475040\pi\) | ||||
0.0783343 | + | 0.996927i | \(0.475040\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −1.38562 | −0.166809 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −0.431795 | −0.0512446 | −0.0256223 | − | 0.999672i | \(-0.508157\pi\) | ||||
−0.0256223 | + | 0.999672i | \(0.508157\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.52891 | −0.295986 | −0.147993 | − | 0.988988i | \(-0.547281\pi\) | ||||
−0.147993 | + | 0.988988i | \(0.547281\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −2.89750 | −0.334574 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0.187339 | 0.0213492 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −16.0189 | −1.80226 | −0.901131 | − | 0.433547i | \(-0.857262\pi\) | ||||
−0.901131 | + | 0.433547i | \(0.857262\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 8.58938 | 0.954375 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 0.112750 | 0.0123759 | 0.00618794 | − | 0.999981i | \(-0.498030\pi\) | ||||
0.00618794 | + | 0.999981i | \(0.498030\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 8.41821 | 0.913083 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0.594770 | 0.0637660 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 3.74889 | 0.397382 | 0.198691 | − | 0.980062i | \(-0.436331\pi\) | ||||
0.198691 | + | 0.980062i | \(0.436331\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −5.09295 | −0.533886 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 2.21137 | 0.229309 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −12.5415 | −1.28673 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 5.55434 | 0.563958 | 0.281979 | − | 0.959421i | \(-0.409009\pi\) | ||||
0.281979 | + | 0.959421i | \(0.409009\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.259345 | 0.0260652 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 14.8409 | 1.47672 | 0.738362 | − | 0.674405i | \(-0.235600\pi\) | ||||
0.738362 | + | 0.674405i | \(0.235600\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.45965 | −0.143823 | −0.0719117 | − | 0.997411i | \(-0.522910\pi\) | ||||
−0.0719117 | + | 0.997411i | \(0.522910\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −1.96713 | −0.191972 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −12.3245 | −1.19146 | −0.595729 | − | 0.803185i | \(-0.703137\pi\) | ||||
−0.595729 | + | 0.803185i | \(0.703137\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −1.16930 | −0.111999 | −0.0559995 | − | 0.998431i | \(-0.517835\pi\) | ||||
−0.0559995 | + | 0.998431i | \(0.517835\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −2.48390 | −0.235761 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 8.08235 | 0.760323 | 0.380162 | − | 0.924920i | \(-0.375868\pi\) | ||||
0.380162 | + | 0.924920i | \(0.375868\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −27.8534 | −2.59734 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −7.05050 | −0.651819 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 4.17308 | 0.382546 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.9923 | −0.999299 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −1.42754 | −0.128717 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −36.7212 | −3.28444 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 10.0397 | 0.890880 | 0.445440 | − | 0.895312i | \(-0.353047\pi\) | ||||
0.445440 | + | 0.895312i | \(0.353047\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0.529601 | 0.0466287 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 4.26560 | 0.372687 | 0.186344 | − | 0.982485i | \(-0.440336\pi\) | ||||
0.186344 | + | 0.982485i | \(0.440336\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −6.21706 | −0.539087 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −5.48874 | −0.472395 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 9.91748 | 0.847307 | 0.423654 | − | 0.905824i | \(-0.360747\pi\) | ||||
0.423654 | + | 0.905824i | \(0.360747\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.28929 | −0.194175 | −0.0970873 | − | 0.995276i | \(-0.530953\pi\) | ||||
−0.0970873 | + | 0.995276i | \(0.530953\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.07281 | −0.0903470 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −0.209525 | −0.0175214 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 11.9559 | 0.992883 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0.523874 | 0.0432084 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −4.09066 | −0.335120 | −0.167560 | − | 0.985862i | \(-0.553589\pi\) | ||||
−0.167560 | + | 0.985862i | \(0.553589\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −14.0576 | −1.14399 | −0.571996 | − | 0.820256i | \(-0.693831\pi\) | ||||
−0.571996 | + | 0.820256i | \(0.693831\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 5.77707 | 0.467049 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 44.4524 | 3.57050 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −7.58487 | −0.605339 | −0.302669 | − | 0.953096i | \(-0.597878\pi\) | ||||
−0.302669 | + | 0.953096i | \(0.597878\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0.825511 | 0.0654673 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −13.8075 | −1.08818 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3.92362 | 0.307321 | 0.153661 | − | 0.988124i | \(-0.450894\pi\) | ||||
0.153661 | + | 0.988124i | \(0.450894\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −0.0809283 | −0.00630026 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −1.98427 | −0.153547 | −0.0767736 | − | 0.997049i | \(-0.524462\pi\) | ||||
−0.0767736 | + | 0.997049i | \(0.524462\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −7.30390 | −0.561838 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −8.60669 | −0.658170 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −11.0120 | −0.837230 | −0.418615 | − | 0.908164i | \(-0.637484\pi\) | ||||
−0.418615 | + | 0.908164i | \(0.637484\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −28.8731 | −2.18260 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −2.60922 | −0.196121 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −13.7083 | −1.02461 | −0.512303 | − | 0.858805i | \(-0.671208\pi\) | ||||
−0.512303 | + | 0.858805i | \(0.671208\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −22.6144 | −1.68091 | −0.840457 | − | 0.541879i | \(-0.817713\pi\) | ||||
−0.840457 | + | 0.541879i | \(0.817713\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0.983561 | 0.0727069 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −49.9306 | −3.67097 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.171681 | 0.0125546 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −2.72088 | −0.197915 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 23.9900 | 1.73585 | 0.867927 | − | 0.496692i | \(-0.165452\pi\) | ||||
0.867927 | + | 0.496692i | \(0.165452\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −7.04369 | −0.507016 | −0.253508 | − | 0.967333i | \(-0.581584\pi\) | ||||
−0.253508 | + | 0.967333i | \(0.581584\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 2.20010 | 0.157552 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −15.6927 | −1.11806 | −0.559028 | − | 0.829149i | \(-0.688826\pi\) | ||||
−0.559028 | + | 0.829149i | \(0.688826\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −0.243544 | −0.0172644 | −0.00863219 | − | 0.999963i | \(-0.502748\pi\) | ||||
−0.00863219 | + | 0.999963i | \(0.502748\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −0.274618 | −0.0193701 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 5.92679 | 0.415979 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −28.6960 | −2.00422 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −19.1146 | −1.32856 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −0.255771 | −0.0176921 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.72140 | −0.187349 | −0.0936743 | − | 0.995603i | \(-0.529861\pi\) | ||||
−0.0936743 | + | 0.995603i | \(0.529861\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0.0924671 | 0.00633574 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 10.6459 | 0.726043 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 22.0360 | 1.49590 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0.541555 | 0.0365949 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −4.66729 | −0.313956 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 0.183759 | 0.0123054 | 0.00615271 | − | 0.999981i | \(-0.498042\pi\) | ||||
0.00615271 | + | 0.999981i | \(0.498042\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −39.9709 | −2.66473 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −9.05830 | −0.601221 | −0.300610 | − | 0.953747i | \(-0.597190\pi\) | ||||
−0.300610 | + | 0.953747i | \(0.597190\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −15.9895 | −1.05662 | −0.528309 | − | 0.849052i | \(-0.677174\pi\) | ||||
−0.528309 | + | 0.849052i | \(0.677174\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.0401178 | −0.00263956 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 23.8326 | 1.56133 | 0.780663 | − | 0.624952i | \(-0.214881\pi\) | ||||
0.780663 | + | 0.624952i | \(0.214881\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −21.5654 | −1.40677 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 3.43037 | 0.222827 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 21.1895 | 1.37064 | 0.685318 | − | 0.728244i | \(-0.259663\pi\) | ||||
0.685318 | + | 0.728244i | \(0.259663\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 20.8271 | 1.34159 | 0.670794 | − | 0.741643i | \(-0.265953\pi\) | ||||
0.670794 | + | 0.741643i | \(0.265953\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −5.66455 | −0.363381 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 10.5308 | 0.672786 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 6.95334 | 0.442431 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −0.0241449 | −0.00153012 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 2.20659 | 0.139279 | 0.0696394 | − | 0.997572i | \(-0.477815\pi\) | ||||
0.0696394 | + | 0.997572i | \(0.477815\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.568044 | −0.0357126 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −1.80273 | −0.112891 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 9.33713 | 0.582434 | 0.291217 | − | 0.956657i | \(-0.405940\pi\) | ||||
0.291217 | + | 0.956657i | \(0.405940\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −24.7516 | −1.53799 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 8.20484 | 0.507867 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 16.0307 | 0.988496 | 0.494248 | − | 0.869321i | \(-0.335443\pi\) | ||||
0.494248 | + | 0.869321i | \(0.335443\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 16.5942 | 1.01937 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −0.802811 | −0.0491312 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −8.87784 | −0.541292 | −0.270646 | − | 0.962679i | \(-0.587237\pi\) | ||||
−0.270646 | + | 0.962679i | \(0.587237\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −3.92155 | −0.238217 | −0.119109 | − | 0.992881i | \(-0.538004\pi\) | ||||
−0.119109 | + | 0.992881i | \(0.538004\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 1.09063 | 0.0660082 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −1.18785 | −0.0716298 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 3.00059 | 0.180288 | 0.0901440 | − | 0.995929i | \(-0.471267\pi\) | ||||
0.0901440 | + | 0.995929i | \(0.471267\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 30.5059 | 1.82634 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −18.7472 | −1.11837 | −0.559183 | − | 0.829044i | \(-0.688885\pi\) | ||||
−0.559183 | + | 0.829044i | \(0.688885\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −12.0890 | −0.718615 | −0.359308 | − | 0.933219i | \(-0.616987\pi\) | ||||
−0.359308 | + | 0.933219i | \(0.616987\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 2.68570 | 0.159087 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −14.2252 | −0.839688 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −13.1757 | −0.775041 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −1.18944 | −0.0697262 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −3.17529 | −0.185502 | −0.0927511 | − | 0.995689i | \(-0.529566\pi\) | ||||
−0.0927511 | + | 0.995689i | \(0.529566\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −52.4499 | −3.05375 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −0.111938 | −0.00649528 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 15.4427 | 0.893075 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 5.27739 | 0.304183 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −3.17812 | −0.182578 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 19.7713 | 1.13210 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −18.8616 | −1.07649 | −0.538244 | − | 0.842789i | \(-0.680912\pi\) | ||||
−0.538244 | + | 0.842789i | \(0.680912\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0.312578 | 0.0177819 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −21.5838 | −1.22390 | −0.611952 | − | 0.790895i | \(-0.709615\pi\) | ||||
−0.611952 | + | 0.790895i | \(0.709615\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −15.9482 | −0.901445 | −0.450722 | − | 0.892664i | \(-0.648834\pi\) | ||||
−0.450722 | + | 0.892664i | \(0.648834\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −27.1366 | −1.52897 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 7.39536 | 0.415365 | 0.207682 | − | 0.978196i | \(-0.433408\pi\) | ||||
0.207682 | + | 0.978196i | \(0.433408\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.243829 | 0.0136518 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 2.63925 | 0.147309 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −5.69746 | −0.317015 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 32.2925 | 1.79127 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0.250402 | 0.0138473 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −10.6904 | −0.589380 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 31.5721 | 1.73536 | 0.867679 | − | 0.497124i | \(-0.165611\pi\) | ||||
0.867679 | + | 0.497124i | \(0.165611\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −34.2653 | −1.87773 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −5.52030 | −0.301606 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 20.4000 | 1.11126 | 0.555629 | − | 0.831431i | \(-0.312478\pi\) | ||||
0.555629 | + | 0.831431i | \(0.312478\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −1.73080 | −0.0940043 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0.906565 | 0.0490933 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 20.1578 | 1.08842 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 5.96469 | 0.321128 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 4.43110 | 0.237874 | 0.118937 | − | 0.992902i | \(-0.462051\pi\) | ||||
0.118937 | + | 0.992902i | \(0.462051\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −12.5438 | −0.671453 | −0.335727 | − | 0.941959i | \(-0.608982\pi\) | ||||
−0.335727 | + | 0.941959i | \(0.608982\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 3.04311 | 0.162429 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −16.0304 | −0.853210 | −0.426605 | − | 0.904438i | \(-0.640291\pi\) | ||||
−0.426605 | + | 0.904438i | \(0.640291\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.85875 | 0.0986521 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −0.893648 | −0.0472969 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 12.6710 | 0.668750 | 0.334375 | − | 0.942440i | \(-0.391475\pi\) | ||||
0.334375 | + | 0.942440i | \(0.391475\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −10.5119 | −0.553259 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 2.35396 | 0.123551 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 10.8862 | 0.569810 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 21.6193 | 1.12852 | 0.564260 | − | 0.825597i | \(-0.309162\pi\) | ||||
0.564260 | + | 0.825597i | \(0.309162\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −19.6929 | −1.02517 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 8.22609 | 0.427077 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −7.28572 | −0.377240 | −0.188620 | − | 0.982050i | \(-0.560402\pi\) | ||||
−0.188620 | + | 0.982050i | \(0.560402\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 7.86369 | 0.406079 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −6.62869 | −0.341395 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −3.90113 | −0.200388 | −0.100194 | − | 0.994968i | \(-0.531946\pi\) | ||||
−0.100194 | + | 0.994968i | \(0.531946\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −2.14996 | −0.110146 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 11.9429 | 0.610253 | 0.305127 | − | 0.952312i | \(-0.401301\pi\) | ||||
0.305127 | + | 0.952312i | \(0.401301\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.806437 | −0.0410998 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 7.30583 | 0.371376 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −19.2035 | −0.973654 | −0.486827 | − | 0.873498i | \(-0.661846\pi\) | ||||
−0.486827 | + | 0.873498i | \(0.661846\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −12.6535 | −0.639916 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −0.913462 | −0.0460780 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 68.9564 | 3.46957 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −9.32344 | −0.467930 | −0.233965 | − | 0.972245i | \(-0.575170\pi\) | ||||
−0.233965 | + | 0.972245i | \(0.575170\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 1.33136 | 0.0666513 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −6.25490 | −0.312355 | −0.156177 | − | 0.987729i | \(-0.549917\pi\) | ||||
−0.156177 | + | 0.987729i | \(0.549917\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −24.6457 | −1.22769 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −36.9747 | −1.83729 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −1.01829 | −0.0504746 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −28.0686 | −1.38790 | −0.693952 | − | 0.720021i | \(-0.744132\pi\) | ||||
−0.693952 | + | 0.720021i | \(0.744132\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −2.12379 | −0.104759 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −26.0005 | −1.27940 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.485354 | −0.0238251 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0.490241 | 0.0240072 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 12.1602 | 0.594064 | 0.297032 | − | 0.954868i | \(-0.404003\pi\) | ||||
0.297032 | + | 0.954868i | \(0.404003\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 8.92767 | 0.435108 | 0.217554 | − | 0.976048i | \(-0.430192\pi\) | ||||
0.217554 | + | 0.976048i | \(0.430192\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −14.7994 | −0.719572 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −26.4600 | −1.28350 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 9.80103 | 0.474305 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0.0448689 | 0.00216629 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −38.0823 | −1.83436 | −0.917179 | − | 0.398475i | \(-0.869539\pi\) | ||||
−0.917179 | + | 0.398475i | \(0.869539\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −24.3661 | −1.17096 | −0.585481 | − | 0.810686i | \(-0.699094\pi\) | ||||
−0.585481 | + | 0.810686i | \(0.699094\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −2.56031 | −0.122757 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 18.8512 | 0.901776 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −24.2808 | −1.15886 | −0.579429 | − | 0.815023i | \(-0.696724\pi\) | ||||
−0.579429 | + | 0.815023i | \(0.696724\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 7.22684 | 0.344135 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 12.2006 | 0.579667 | 0.289833 | − | 0.957077i | \(-0.406400\pi\) | ||||
0.289833 | + | 0.957077i | \(0.406400\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −16.1379 | −0.765009 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0.875998 | 0.0414333 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 14.1413 | 0.667369 | 0.333685 | − | 0.942685i | \(-0.391708\pi\) | ||||
0.333685 | + | 0.942685i | \(0.391708\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.585229 | −0.0275573 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 3.01038 | 0.141440 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 21.9236 | 1.02780 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 33.5373 | 1.56881 | 0.784404 | − | 0.620250i | \(-0.212969\pi\) | ||||
0.784404 | + | 0.620250i | \(0.212969\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −2.49348 | −0.116386 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 12.9601 | 0.603613 | 0.301807 | − | 0.953369i | \(-0.402410\pi\) | ||||
0.301807 | + | 0.953369i | \(0.402410\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 18.5083 | 0.860155 | 0.430078 | − | 0.902792i | \(-0.358486\pi\) | ||||
0.430078 | + | 0.902792i | \(0.358486\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −9.51931 | −0.441447 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 1.41209 | 0.0653436 | 0.0326718 | − | 0.999466i | \(-0.489598\pi\) | ||||
0.0326718 | + | 0.999466i | \(0.489598\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −2.73652 | −0.126361 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 1.62427 | 0.0748424 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 0.217113 | 0.00998286 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 39.4201 | 1.80872 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 11.3879 | 0.521417 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −10.5674 | −0.482837 | −0.241419 | − | 0.970421i | \(-0.577613\pi\) | ||||
−0.241419 | + | 0.970421i | \(0.577613\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 27.6829 | 1.26223 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 2.95682 | 0.134540 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −23.9098 | −1.08569 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 5.77862 | 0.261854 | 0.130927 | − | 0.991392i | \(-0.458205\pi\) | ||||
0.130927 | + | 0.991392i | \(0.458205\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −0.840227 | −0.0379964 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 2.51720 | 0.113599 | 0.0567997 | − | 0.998386i | \(-0.481910\pi\) | ||||
0.0567997 | + | 0.998386i | \(0.481910\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 5.43145 | 0.244620 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −1.11640 | −0.0501787 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0.921420 | 0.0413313 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 10.7137 | 0.479612 | 0.239806 | − | 0.970821i | \(-0.422916\pi\) | ||||
0.239806 | + | 0.970821i | \(0.422916\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0.424923 | 0.0189842 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 2.05799 | 0.0917613 | 0.0458807 | − | 0.998947i | \(-0.485391\pi\) | ||||
0.0458807 | + | 0.998947i | \(0.485391\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −63.8856 | −2.84287 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 1.56410 | 0.0694642 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −21.7020 | −0.961924 | −0.480962 | − | 0.876741i | \(-0.659713\pi\) | ||||
−0.480962 | + | 0.876741i | \(0.659713\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5.39651 | 0.238728 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 3.71479 | 0.164012 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 6.28336 | 0.276878 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.439805 | −0.0193426 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 2.35818 | 0.103513 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 29.4073 | 1.28836 | 0.644178 | − | 0.764876i | \(-0.277200\pi\) | ||||
0.644178 | + | 0.764876i | \(0.277200\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 15.5818 | 0.681343 | 0.340672 | − | 0.940182i | \(-0.389346\pi\) | ||||
0.340672 | + | 0.940182i | \(0.389346\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 6.18306 | 0.269851 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 20.1943 | 0.879677 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 18.8668 | 0.820294 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −35.9942 | −1.56201 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 15.9099 | 0.689134 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 53.0535 | 2.29370 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 2.93558 | 0.126680 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0.214765 | 0.00925059 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −17.2086 | −0.739853 | −0.369927 | − | 0.929061i | \(-0.620617\pi\) | ||||
−0.369927 | + | 0.929061i | \(0.620617\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 4.84278 | 0.207823 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 5.03351 | 0.215612 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 3.73089 | 0.159521 | 0.0797606 | − | 0.996814i | \(-0.474584\pi\) | ||||
0.0797606 | + | 0.996814i | \(0.474584\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 13.5682 | 0.579077 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −8.09177 | −0.344721 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 34.1831 | 1.45361 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 10.6924 | 0.453869 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −0.128254 | −0.00543431 | −0.00271716 | − | 0.999996i | \(-0.500865\pi\) | ||||
−0.00271716 | + | 0.999996i | \(0.500865\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −5.90238 | −0.249644 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −0.0367649 | −0.00155222 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 23.4800 | 0.989563 | 0.494782 | − | 0.869017i | \(-0.335248\pi\) | ||||
0.494782 | + | 0.869017i | \(0.335248\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −34.7921 | −1.46372 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −18.3291 | −0.769751 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 37.8950 | 1.58864 | 0.794320 | − | 0.607499i | \(-0.207827\pi\) | ||||
0.794320 | + | 0.607499i | \(0.207827\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 9.89740 | 0.414193 | 0.207097 | − | 0.978321i | \(-0.433599\pi\) | ||||
0.207097 | + | 0.978321i | \(0.433599\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −5.13736 | −0.214616 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 87.5483 | 3.65102 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −18.7741 | −0.781576 | −0.390788 | − | 0.920481i | \(-0.627797\pi\) | ||||
−0.390788 | + | 0.920481i | \(0.627797\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 1.50838 | 0.0626860 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −0.240600 | −0.00998176 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.338423 | 0.0140161 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 30.3503 | 1.25483 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −10.3374 | −0.426670 | −0.213335 | − | 0.976979i | \(-0.568433\pi\) | ||||
−0.213335 | + | 0.976979i | \(0.568433\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −30.0855 | −1.23965 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 3.36052 | 0.138233 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −20.5355 | −0.843292 | −0.421646 | − | 0.906760i | \(-0.638548\pi\) | ||||
−0.421646 | + | 0.906760i | \(0.638548\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −17.9639 | −0.736447 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0.0521540 | 0.00213452 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −24.6258 | −1.00618 | −0.503090 | − | 0.864234i | \(-0.667804\pi\) | ||||
−0.503090 | + | 0.864234i | \(0.667804\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 34.1096 | 1.39136 | 0.695680 | − | 0.718352i | \(-0.255103\pi\) | ||||
0.695680 | + | 0.718352i | \(0.255103\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −3.78835 | −0.154274 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 47.3186 | 1.92377 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 37.6200 | 1.52695 | 0.763473 | − | 0.645839i | \(-0.223492\pi\) | ||||
0.763473 | + | 0.645839i | \(0.223492\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −1.26920 | −0.0514305 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 11.9564 | 0.483706 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −21.6279 | −0.873544 | −0.436772 | − | 0.899572i | \(-0.643878\pi\) | ||||
−0.436772 | + | 0.899572i | \(0.643878\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 6.14514 | 0.247796 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −31.7365 | −1.27766 | −0.638831 | − | 0.769347i | \(-0.720582\pi\) | ||||
−0.638831 | + | 0.769347i | \(0.720582\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 41.6586 | 1.67440 | 0.837200 | − | 0.546897i | \(-0.184191\pi\) | ||||
0.837200 | + | 0.546897i | \(0.184191\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 8.25019 | 0.331069 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −7.99988 | −0.320508 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 90.4214 | 3.61686 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0.0547724 | 0.00218740 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −22.6830 | −0.904429 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 29.1298 | 1.15964 | 0.579820 | − | 0.814744i | \(-0.303123\pi\) | ||||
0.579820 | + | 0.814744i | \(0.303123\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0.582776 | 0.0231633 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −43.2180 | −1.71505 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −5.83856 | −0.231332 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 1.27558 | 0.0504613 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −7.04916 | −0.278425 | −0.139213 | − | 0.990263i | \(-0.544457\pi\) | ||||
−0.139213 | + | 0.990263i | \(0.544457\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 20.2230 | 0.797515 | 0.398758 | − | 0.917056i | \(-0.369441\pi\) | ||||
0.398758 | + | 0.917056i | \(0.369441\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −2.27977 | −0.0897660 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −17.5323 | −0.689267 | −0.344634 | − | 0.938737i | \(-0.611997\pi\) | ||||
−0.344634 | + | 0.938737i | \(0.611997\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1.06967 | −0.0419880 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −4.71892 | −0.184949 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −20.1412 | −0.788187 | −0.394094 | − | 0.919070i | \(-0.628941\pi\) | ||||
−0.394094 | + | 0.919070i | \(0.628941\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −18.3622 | −0.717469 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 7.47075 | 0.291462 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 21.3387 | 0.831239 | 0.415619 | − | 0.909539i | \(-0.363565\pi\) | ||||
0.415619 | + | 0.909539i | \(0.363565\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −24.4152 | −0.949640 | −0.474820 | − | 0.880083i | \(-0.657487\pi\) | ||||
−0.474820 | + | 0.880083i | \(0.657487\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0.999482 | 0.0388167 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 26.7626 | 1.03781 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −17.9711 | −0.695842 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −0.0393513 | −0.00152141 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 0.403217 | 0.0155660 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −36.4999 | −1.40697 | −0.703484 | − | 0.710711i | \(-0.748373\pi\) | ||||
−0.703484 | + | 0.710711i | \(0.748373\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 17.2521 | 0.664034 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −12.4617 | −0.478942 | −0.239471 | − | 0.970904i | \(-0.576974\pi\) | ||||
−0.239471 | + | 0.970904i | \(0.576974\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −11.8526 | −0.454860 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 1.93980 | 0.0743333 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −32.4264 | −1.24076 | −0.620381 | − | 0.784300i | \(-0.713022\pi\) | ||||
−0.620381 | + | 0.784300i | \(0.713022\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −42.6918 | −1.63117 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 3.42409 | 0.130637 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −9.20030 | −0.350503 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −30.0719 | −1.14399 | −0.571994 | − | 0.820258i | \(-0.693830\pi\) | ||||
−0.571994 | + | 0.820258i | \(0.693830\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −0.553425 | −0.0210229 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 9.85470 | 0.373810 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −13.0363 | −0.493786 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −5.10366 | −0.193038 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 43.4318 | 1.64040 | 0.820198 | − | 0.572080i | \(-0.193863\pi\) | ||||
0.820198 | + | 0.572080i | \(0.193863\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 33.7931 | 1.27453 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 4.61813 | 0.173929 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −31.6694 | −1.19105 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −6.71440 | −0.252165 | −0.126082 | − | 0.992020i | \(-0.540240\pi\) | ||||
−0.126082 | + | 0.992020i | \(0.540240\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 47.3220 | 1.77471 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −66.8170 | −2.50232 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.901943 | 0.0337308 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −4.53765 | −0.169462 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −6.19906 | −0.231186 | −0.115593 | − | 0.993297i | \(-0.536877\pi\) | ||||
−0.115593 | + | 0.993297i | \(0.536877\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 3.11479 | 0.116001 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −4.46003 | −0.165870 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −37.5796 | −1.39567 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 2.29010 | 0.0849352 | 0.0424676 | − | 0.999098i | \(-0.486478\pi\) | ||||
0.0424676 | + | 0.999098i | \(0.486478\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −24.5551 | −0.909448 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 4.83632 | 0.178878 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −1.57771 | −0.0582742 | −0.0291371 | − | 0.999575i | \(-0.509276\pi\) | ||||
−0.0291371 | + | 0.999575i | \(0.509276\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −2.25512 | −0.0831814 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −0.112581 | −0.00414698 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −16.2081 | −0.596223 | −0.298111 | − | 0.954531i | \(-0.596357\pi\) | ||||
−0.298111 | + | 0.954531i | \(0.596357\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −1.48903 | −0.0547009 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −24.8518 | −0.911722 | −0.455861 | − | 0.890051i | \(-0.650669\pi\) | ||||
−0.455861 | + | 0.890051i | \(0.650669\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 17.6091 | 0.645146 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −0.333078 | −0.0121867 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 26.2997 | 0.960971 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 1.00000 | 0.0364905 | ||||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −0.472533 | −0.0172200 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 60.5139 | 2.20233 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 2.14057 | 0.0778005 | 0.0389002 | − | 0.999243i | \(-0.487615\pi\) | ||||
0.0389002 | + | 0.999243i | \(0.487615\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0.121644 | 0.00441541 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 9.67444 | 0.350698 | 0.175349 | − | 0.984506i | \(-0.443895\pi\) | ||||
0.175349 | + | 0.984506i | \(0.443895\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 2.49521 | 0.0903328 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −24.8686 | −0.899126 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 29.0797 | 1.05001 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −34.8347 | −1.25617 | −0.628085 | − | 0.778145i | \(-0.716161\pi\) | ||||
−0.628085 | + | 0.778145i | \(0.716161\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −1.99951 | −0.0720105 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −49.5789 | −1.78323 | −0.891615 | − | 0.452795i | \(-0.850427\pi\) | ||||
−0.891615 | + | 0.452795i | \(0.850427\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −139.722 | −5.01897 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 5.30046 | 0.190153 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 19.4215 | 0.695848 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.0379074 | 0.00135643 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −3.54134 | −0.126557 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 32.6506 | 1.16535 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 44.7626 | 1.59561 | 0.797807 | − | 0.602913i | \(-0.205994\pi\) | ||||
0.797807 | + | 0.602913i | \(0.205994\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −3.43291 | −0.122215 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −17.2472 | −0.613239 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −10.9618 | −0.389263 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −3.55358 | −0.126033 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −32.4277 | −1.14865 | −0.574325 | − | 0.818628i | \(-0.694735\pi\) | ||||
−0.574325 | + | 0.818628i | \(0.694735\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −9.79692 | −0.346590 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −11.0748 | −0.391308 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 0.222014 | 0.00783470 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 59.4372 | 2.09489 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 1.90115 | 0.0669238 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 14.3624 | 0.504954 | 0.252477 | − | 0.967603i | \(-0.418755\pi\) | ||||
0.252477 | + | 0.967603i | \(0.418755\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 22.8470 | 0.802267 | 0.401134 | − | 0.916020i | \(-0.368616\pi\) | ||||
0.401134 | + | 0.916020i | \(0.368616\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0.839785 | 0.0294525 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −16.8900 | −0.591631 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −7.20515 | −0.252076 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 15.0453 | 0.525725 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −29.5001 | −1.02956 | −0.514781 | − | 0.857322i | \(-0.672127\pi\) | ||||
−0.514781 | + | 0.857322i | \(0.672127\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −28.9938 | −1.01066 | −0.505330 | − | 0.862926i | \(-0.668629\pi\) | ||||
−0.505330 | + | 0.862926i | \(0.668629\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0.254372 | 0.00885611 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −6.58103 | −0.228845 | −0.114422 | − | 0.993432i | \(-0.536502\pi\) | ||||
−0.114422 | + | 0.993432i | \(0.536502\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −44.5264 | −1.54647 | −0.773233 | − | 0.634122i | \(-0.781362\pi\) | ||||
−0.773233 | + | 0.634122i | \(0.781362\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −0.642564 | −0.0222903 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 4.78402 | 0.165757 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 8.54169 | 0.295597 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −13.1668 | −0.455112 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −30.4902 | −1.05264 | −0.526320 | − | 0.850287i | \(-0.676429\pi\) | ||||
−0.526320 | + | 0.850287i | \(0.676429\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −21.2860 | −0.734001 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 4.01464 | 0.138272 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 31.4411 | 1.08161 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 23.4568 | 0.805985 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 2.58881 | 0.0888476 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 75.0513 | 2.57273 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −22.3003 | −0.763548 | −0.381774 | − | 0.924256i | \(-0.624687\pi\) | ||||
−0.381774 | + | 0.924256i | \(0.624687\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 37.0492 | 1.26706 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 38.5607 | 1.31721 | 0.658605 | − | 0.752489i | \(-0.271147\pi\) | ||||
0.658605 | + | 0.752489i | \(0.271147\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −41.0501 | −1.40061 | −0.700305 | − | 0.713843i | \(-0.746953\pi\) | ||||
−0.700305 | + | 0.713843i | \(0.746953\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 3.04627 | 0.103817 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −44.8408 | −1.52640 | −0.763199 | − | 0.646164i | \(-0.776372\pi\) | ||||
−0.763199 | + | 0.646164i | \(0.776372\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 47.4036 | 1.61177 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 2.82152 | 0.0958239 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 1.40630 | 0.0477055 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 3.06061 | 0.103705 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −16.4083 | −0.555337 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 78.3605 | 2.64907 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −50.5917 | −1.70836 | −0.854181 | − | 0.519976i | \(-0.825941\pi\) | ||||
−0.854181 | + | 0.519976i | \(0.825941\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0.679975 | 0.0229350 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 17.6362 | 0.594179 | 0.297090 | − | 0.954850i | \(-0.403984\pi\) | ||||
0.297090 | + | 0.954850i | \(0.403984\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 20.2157 | 0.680313 | 0.340157 | − | 0.940369i | \(-0.389520\pi\) | ||||
0.340157 | + | 0.940369i | \(0.389520\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 11.2319 | 0.377557 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −7.07205 | −0.237456 | −0.118728 | − | 0.992927i | \(-0.537882\pi\) | ||||
−0.118728 | + | 0.992927i | \(0.537882\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −21.4240 | −0.718539 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −0.754065 | −0.0252621 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 14.5955 | 0.488419 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 59.0102 | 1.97249 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −3.30699 | −0.110417 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 28.6808 | 0.956558 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 7.53858 | 0.251146 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −1.13013 | −0.0376084 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 97.3482 | 3.23596 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −27.1251 | −0.900675 | −0.450338 | − | 0.892858i | \(-0.648696\pi\) | ||||
−0.450338 | + | 0.892858i | \(0.648696\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −43.8421 | −1.45415 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 21.5046 | 0.712478 | 0.356239 | − | 0.934395i | \(-0.384059\pi\) | ||||
0.356239 | + | 0.934395i | \(0.384059\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −0.00989833 | −0.000327587 0 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −4.23394 | −0.139970 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −9.10250 | −0.300591 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −16.3760 | −0.540195 | −0.270098 | − | 0.962833i | \(-0.587056\pi\) | ||||
−0.270098 | + | 0.962833i | \(0.587056\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 4.03913 | 0.133094 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −1.03054 | −0.0339207 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 156.941 | 5.16019 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 4.31201 | 0.141625 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 17.3460 | 0.569103 | 0.284551 | − | 0.958661i | \(-0.408155\pi\) | ||||
0.284551 | + | 0.958661i | \(0.408155\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −7.12724 | −0.233586 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 4.62208 | 0.151320 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −0.739038 | −0.0241691 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −2.19998 | −0.0718701 | −0.0359350 | − | 0.999354i | \(-0.511441\pi\) | ||||
−0.0359350 | + | 0.999354i | \(0.511441\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 3.41524 | 0.111452 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −34.1463 | −1.11314 | −0.556569 | − | 0.830802i | \(-0.687882\pi\) | ||||
−0.556569 | + | 0.830802i | \(0.687882\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 43.1334 | 1.40462 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 11.7126 | 0.381010 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −51.3003 | −1.66704 | −0.833518 | − | 0.552493i | \(-0.813677\pi\) | ||||
−0.833518 | + | 0.552493i | \(0.813677\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −6.03562 | −0.195924 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −1.58369 | −0.0513545 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 18.3829 | 0.595479 | 0.297740 | − | 0.954647i | \(-0.403767\pi\) | ||||
0.297740 | + | 0.954647i | \(0.403767\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −103.270 | −3.34173 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −0.0522151 | −0.00168787 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −21.1632 | −0.683396 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 75.6361 | 2.43987 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 36.4084 | 1.17325 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 30.3210 | 0.976067 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 50.1458 | 1.61258 | 0.806290 | − | 0.591520i | \(-0.201472\pi\) | ||||
0.806290 | + | 0.591520i | \(0.201472\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 1.22009 | 0.0391949 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 11.7746 | 0.377864 | 0.188932 | − | 0.981990i | \(-0.439497\pi\) | ||||
0.188932 | + | 0.981990i | \(0.439497\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 4.88518 | 0.156612 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −6.91531 | −0.221467 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 20.0107 | 0.640199 | 0.320099 | − | 0.947384i | \(-0.396284\pi\) | ||||
0.320099 | + | 0.947384i | \(0.396284\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −0.329117 | −0.0105186 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 3.45429 | 0.110287 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −50.9481 | −1.62499 | −0.812496 | − | 0.582966i | \(-0.801892\pi\) | ||||
−0.812496 | + | 0.582966i | \(0.801892\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 67.5523 | 2.15240 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 2.28930 | 0.0728694 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −16.0020 | −0.508833 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 36.3762 | 1.15553 | 0.577763 | − | 0.816204i | \(-0.303926\pi\) | ||||
0.577763 | + | 0.816204i | \(0.303926\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −6.76104 | −0.214555 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 1.04838 | 0.0332360 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −45.3884 | −1.43747 | −0.718733 | − | 0.695286i | \(-0.755278\pi\) | ||||
−0.718733 | + | 0.695286i | \(0.755278\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 14.7895 | 0.467918 |
(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 | 6008.2.a.c.1.20 | ✓ | 44 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
6008.2.a.c.1.20 | ✓ | 44 | 1.1 | even | 1 | trivial |