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: | \(0\) |
Dimension: | \(50\) |
Twist minimal: | yes |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.39 | ||
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 | ||||||||
\(3\) | 2.13242 | 1.23115 | 0.615576 | − | 0.788078i | \(-0.288924\pi\) | ||||
0.615576 | + | 0.788078i | \(0.288924\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.12247 | −0.501986 | −0.250993 | − | 0.967989i | \(-0.580757\pi\) | ||||
−0.250993 | + | 0.967989i | \(0.580757\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −4.02550 | −1.52150 | −0.760748 | − | 0.649048i | \(-0.775168\pi\) | ||||
−0.760748 | + | 0.649048i | \(0.775168\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.54720 | 0.515733 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −5.57155 | −1.67989 | −0.839943 | − | 0.542675i | \(-0.817412\pi\) | ||||
−0.839943 | + | 0.542675i | \(0.817412\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.335534 | 0.0930603 | 0.0465302 | − | 0.998917i | \(-0.485184\pi\) | ||||
0.0465302 | + | 0.998917i | \(0.485184\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −2.39358 | −0.618021 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 4.79184 | 1.16219 | 0.581097 | − | 0.813835i | \(-0.302624\pi\) | ||||
0.581097 | + | 0.813835i | \(0.302624\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.73171 | 0.397282 | 0.198641 | − | 0.980072i | \(-0.436347\pi\) | ||||
0.198641 | + | 0.980072i | \(0.436347\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −8.58404 | −1.87319 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −3.07533 | −0.641250 | −0.320625 | − | 0.947206i | \(-0.603893\pi\) | ||||
−0.320625 | + | 0.947206i | \(0.603893\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.74005 | −0.748010 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −3.09798 | −0.596206 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 6.66349 | 1.23738 | 0.618689 | − | 0.785636i | \(-0.287664\pi\) | ||||
0.618689 | + | 0.785636i | \(0.287664\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.51015 | −0.630442 | −0.315221 | − | 0.949018i | \(-0.602079\pi\) | ||||
−0.315221 | + | 0.949018i | \(0.602079\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −11.8809 | −2.06819 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 4.51852 | 0.763769 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.13640 | 0.844418 | 0.422209 | − | 0.906498i | \(-0.361255\pi\) | ||||
0.422209 | + | 0.906498i | \(0.361255\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.715498 | 0.114571 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 4.64579 | 0.725551 | 0.362775 | − | 0.931877i | \(-0.381829\pi\) | ||||
0.362775 | + | 0.931877i | \(0.381829\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −9.81357 | −1.49656 | −0.748278 | − | 0.663386i | \(-0.769119\pi\) | ||||
−0.748278 | + | 0.663386i | \(0.769119\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.73669 | −0.258891 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 11.9133 | 1.73773 | 0.868864 | − | 0.495051i | \(-0.164851\pi\) | ||||
0.868864 | + | 0.495051i | \(0.164851\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 9.20464 | 1.31495 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 10.2182 | 1.43084 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 11.4349 | 1.57070 | 0.785351 | − | 0.619050i | \(-0.212482\pi\) | ||||
0.785351 | + | 0.619050i | \(0.212482\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 6.25393 | 0.843279 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 3.69273 | 0.489114 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 2.35959 | 0.307192 | 0.153596 | − | 0.988134i | \(-0.450915\pi\) | ||||
0.153596 | + | 0.988134i | \(0.450915\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 9.55165 | 1.22296 | 0.611482 | − | 0.791259i | \(-0.290574\pi\) | ||||
0.611482 | + | 0.791259i | \(0.290574\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −6.22824 | −0.784685 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −0.376628 | −0.0467150 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.78716 | −0.340506 | −0.170253 | − | 0.985400i | \(-0.554458\pi\) | ||||
−0.170253 | + | 0.985400i | \(0.554458\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −6.55787 | −0.789475 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 7.12313 | 0.845361 | 0.422680 | − | 0.906279i | \(-0.361089\pi\) | ||||
0.422680 | + | 0.906279i | \(0.361089\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 6.65412 | 0.778806 | 0.389403 | − | 0.921067i | \(-0.372681\pi\) | ||||
0.389403 | + | 0.921067i | \(0.372681\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −7.97534 | −0.920913 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 22.4283 | 2.55594 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −8.62639 | −0.970545 | −0.485273 | − | 0.874363i | \(-0.661280\pi\) | ||||
−0.485273 | + | 0.874363i | \(0.661280\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −11.2478 | −1.24975 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −1.96497 | −0.215684 | −0.107842 | − | 0.994168i | \(-0.534394\pi\) | ||||
−0.107842 | + | 0.994168i | \(0.534394\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −5.37873 | −0.583405 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 14.2093 | 1.52340 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 14.7566 | 1.56420 | 0.782098 | − | 0.623156i | \(-0.214150\pi\) | ||||
0.782098 | + | 0.623156i | \(0.214150\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.35069 | −0.141591 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −7.48510 | −0.776169 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −1.94380 | −0.199430 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 5.97150 | 0.606313 | 0.303157 | − | 0.952941i | \(-0.401959\pi\) | ||||
0.303157 | + | 0.952941i | \(0.401959\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −8.62029 | −0.866372 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −3.40272 | −0.338583 | −0.169292 | − | 0.985566i | \(-0.554148\pi\) | ||||
−0.169292 | + | 0.985566i | \(0.554148\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.65704 | 0.163273 | 0.0816363 | − | 0.996662i | \(-0.473985\pi\) | ||||
0.0816363 | + | 0.996662i | \(0.473985\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 9.63537 | 0.940315 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −3.63844 | −0.351741 | −0.175870 | − | 0.984413i | \(-0.556274\pi\) | ||||
−0.175870 | + | 0.984413i | \(0.556274\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.535565 | −0.0512978 | −0.0256489 | − | 0.999671i | \(-0.508165\pi\) | ||||
−0.0256489 | + | 0.999671i | \(0.508165\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 10.9529 | 1.03961 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −16.9182 | −1.59153 | −0.795765 | − | 0.605606i | \(-0.792931\pi\) | ||||
−0.795765 | + | 0.605606i | \(0.792931\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 3.45198 | 0.321898 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0.519137 | 0.0479943 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −19.2896 | −1.76827 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 20.0422 | 1.82202 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 9.90676 | 0.893262 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 9.81049 | 0.877477 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 9.05841 | 0.803804 | 0.401902 | − | 0.915683i | \(-0.368349\pi\) | ||||
0.401902 | + | 0.915683i | \(0.368349\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −20.9266 | −1.84249 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 10.6997 | 0.934835 | 0.467418 | − | 0.884037i | \(-0.345184\pi\) | ||||
0.467418 | + | 0.884037i | \(0.345184\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −6.97101 | −0.604463 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 3.47740 | 0.299287 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −6.52914 | −0.557822 | −0.278911 | − | 0.960317i | \(-0.589973\pi\) | ||||
−0.278911 | + | 0.960317i | \(0.589973\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −13.6873 | −1.16094 | −0.580472 | − | 0.814280i | \(-0.697132\pi\) | ||||
−0.580472 | + | 0.814280i | \(0.697132\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 25.4040 | 2.13941 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −1.86944 | −0.156331 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −7.47960 | −0.621147 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 19.6281 | 1.61890 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −15.7650 | −1.29152 | −0.645758 | − | 0.763542i | \(-0.723459\pi\) | ||||
−0.645758 | + | 0.763542i | \(0.723459\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 8.93828 | 0.727387 | 0.363694 | − | 0.931519i | \(-0.381516\pi\) | ||||
0.363694 | + | 0.931519i | \(0.381516\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 7.41393 | 0.599381 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 3.94006 | 0.316473 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.790479 | 0.0630871 | 0.0315435 | − | 0.999502i | \(-0.489958\pi\) | ||||
0.0315435 | + | 0.999502i | \(0.489958\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 24.3839 | 1.93377 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 12.3797 | 0.975659 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 23.8021 | 1.86433 | 0.932164 | − | 0.362036i | \(-0.117918\pi\) | ||||
0.932164 | + | 0.362036i | \(0.117918\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 13.3360 | 1.03820 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −12.9128 | −0.999223 | −0.499611 | − | 0.866250i | \(-0.666524\pi\) | ||||
−0.499611 | + | 0.866250i | \(0.666524\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.8874 | −0.991340 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 2.67930 | 0.204891 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 13.0712 | 0.993782 | 0.496891 | − | 0.867813i | \(-0.334475\pi\) | ||||
0.496891 | + | 0.867813i | \(0.334475\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 15.0556 | 1.13809 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 5.03162 | 0.378200 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 9.20320 | 0.687880 | 0.343940 | − | 0.938992i | \(-0.388238\pi\) | ||||
0.343940 | + | 0.938992i | \(0.388238\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.613750 | 0.0456197 | 0.0228098 | − | 0.999740i | \(-0.492739\pi\) | ||||
0.0228098 | + | 0.999740i | \(0.492739\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 20.3681 | 1.50565 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −5.76548 | −0.423886 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −26.6980 | −1.95235 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 12.4709 | 0.907125 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 6.31450 | 0.456901 | 0.228451 | − | 0.973556i | \(-0.426634\pi\) | ||||
0.228451 | + | 0.973556i | \(0.426634\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 10.8091 | 0.778052 | 0.389026 | − | 0.921227i | \(-0.372812\pi\) | ||||
0.389026 | + | 0.921227i | \(0.372812\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.803128 | −0.0575132 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 20.9045 | 1.48938 | 0.744692 | − | 0.667409i | \(-0.232597\pi\) | ||||
0.744692 | + | 0.667409i | \(0.232597\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 14.3645 | 1.01828 | 0.509138 | − | 0.860685i | \(-0.329964\pi\) | ||||
0.509138 | + | 0.860685i | \(0.329964\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −5.94338 | −0.419214 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −26.8239 | −1.88267 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −5.21478 | −0.364216 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −4.75814 | −0.330714 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −9.64833 | −0.667389 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 16.9552 | 1.16724 | 0.583622 | − | 0.812025i | \(-0.301635\pi\) | ||||
0.583622 | + | 0.812025i | \(0.301635\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 15.1895 | 1.04077 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 11.0155 | 0.751250 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 14.1301 | 0.959214 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 14.1894 | 0.958828 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 1.60783 | 0.108154 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 22.9004 | 1.53352 | 0.766762 | − | 0.641932i | \(-0.221867\pi\) | ||||
0.766762 | + | 0.641932i | \(0.221867\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −5.78660 | −0.385773 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −19.1925 | −1.27385 | −0.636924 | − | 0.770926i | \(-0.719794\pi\) | ||||
−0.636924 | + | 0.770926i | \(0.719794\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −4.16542 | −0.275258 | −0.137629 | − | 0.990484i | \(-0.543948\pi\) | ||||
−0.137629 | + | 0.990484i | \(0.543948\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 47.8264 | 3.14675 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −24.3789 | −1.59711 | −0.798557 | − | 0.601920i | \(-0.794403\pi\) | ||||
−0.798557 | + | 0.601920i | \(0.794403\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −13.3723 | −0.872315 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −18.3951 | −1.19489 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 8.48871 | 0.549089 | 0.274545 | − | 0.961574i | \(-0.411473\pi\) | ||||
0.274545 | + | 0.961574i | \(0.411473\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −14.4061 | −0.927978 | −0.463989 | − | 0.885841i | \(-0.653582\pi\) | ||||
−0.463989 | + | 0.885841i | \(0.653582\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −14.6910 | −0.942428 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −10.3320 | −0.660086 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.581048 | 0.0369712 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −4.19014 | −0.265539 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −12.3277 | −0.778118 | −0.389059 | − | 0.921213i | \(-0.627200\pi\) | ||||
−0.389059 | + | 0.921213i | \(0.627200\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 17.1343 | 1.07723 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −11.4697 | −0.718259 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −21.1730 | −1.32073 | −0.660366 | − | 0.750944i | \(-0.729599\pi\) | ||||
−0.660366 | + | 0.750944i | \(0.729599\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −20.6766 | −1.28478 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 10.3097 | 0.638157 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 17.0142 | 1.04914 | 0.524570 | − | 0.851367i | \(-0.324226\pi\) | ||||
0.524570 | + | 0.851367i | \(0.324226\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −12.8354 | −0.788471 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 31.4672 | 1.92576 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −13.9957 | −0.853334 | −0.426667 | − | 0.904409i | \(-0.640312\pi\) | ||||
−0.426667 | + | 0.904409i | \(0.640312\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −11.1835 | −0.679351 | −0.339675 | − | 0.940543i | \(-0.610317\pi\) | ||||
−0.339675 | + | 0.940543i | \(0.610317\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −2.88023 | −0.174320 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 20.8379 | 1.25657 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 12.3565 | 0.742431 | 0.371216 | − | 0.928547i | \(-0.378941\pi\) | ||||
0.371216 | + | 0.928547i | \(0.378941\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −5.43090 | −0.325140 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 7.82560 | 0.466836 | 0.233418 | − | 0.972376i | \(-0.425009\pi\) | ||||
0.233418 | + | 0.972376i | \(0.425009\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 7.91901 | 0.470736 | 0.235368 | − | 0.971906i | \(-0.424370\pi\) | ||||
0.235368 | + | 0.971906i | \(0.424370\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −4.14500 | −0.245529 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −18.7016 | −1.10392 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 5.96178 | 0.350693 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 12.7337 | 0.746463 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 5.56530 | 0.325128 | 0.162564 | − | 0.986698i | \(-0.448024\pi\) | ||||
0.162564 | + | 0.986698i | \(0.448024\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.64858 | −0.154206 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 17.2605 | 1.00156 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −1.03188 | −0.0596749 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 39.5045 | 2.27700 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −7.25601 | −0.416847 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −10.7215 | −0.613910 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 1.54406 | 0.0881243 | 0.0440622 | − | 0.999029i | \(-0.485970\pi\) | ||||
0.0440622 | + | 0.999029i | \(0.485970\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 3.53349 | 0.201013 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −25.6694 | −1.45558 | −0.727789 | − | 0.685801i | \(-0.759452\pi\) | ||||
−0.727789 | + | 0.685801i | \(0.759452\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −19.0928 | −1.07919 | −0.539596 | − | 0.841924i | \(-0.681423\pi\) | ||||
−0.539596 | + | 0.841924i | \(0.681423\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 6.99105 | 0.393901 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −19.9361 | −1.11972 | −0.559862 | − | 0.828586i | \(-0.689146\pi\) | ||||
−0.559862 | + | 0.828586i | \(0.689146\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −37.1260 | −2.07865 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −7.75866 | −0.433046 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 8.29810 | 0.461719 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.25491 | −0.0696101 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −1.14205 | −0.0631553 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −47.9568 | −2.64394 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 32.2130 | 1.77059 | 0.885293 | − | 0.465033i | \(-0.153958\pi\) | ||||
0.885293 | + | 0.465033i | \(0.153958\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 7.94702 | 0.435494 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 3.12851 | 0.170929 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 30.0342 | 1.63606 | 0.818032 | − | 0.575172i | \(-0.195065\pi\) | ||||
0.818032 | + | 0.575172i | \(0.195065\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −36.0766 | −1.95941 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 19.5570 | 1.05907 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −8.87477 | −0.479193 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 7.36105 | 0.396306 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 31.5880 | 1.69573 | 0.847866 | − | 0.530211i | \(-0.177887\pi\) | ||||
0.847866 | + | 0.530211i | \(0.177887\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 2.95362 | 0.158103 | 0.0790517 | − | 0.996871i | \(-0.474811\pi\) | ||||
0.0790517 | + | 0.996871i | \(0.474811\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −1.03948 | −0.0554831 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 16.8619 | 0.897470 | 0.448735 | − | 0.893665i | \(-0.351875\pi\) | ||||
0.448735 | + | 0.893665i | \(0.351875\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −7.99554 | −0.424359 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −41.1334 | −2.17701 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 15.0461 | 0.794105 | 0.397052 | − | 0.917796i | \(-0.370033\pi\) | ||||
0.397052 | + | 0.917796i | \(0.370033\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −16.0012 | −0.842167 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 42.7383 | 2.24318 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −7.46909 | −0.390950 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −5.35745 | −0.279657 | −0.139828 | − | 0.990176i | \(-0.544655\pi\) | ||||
−0.139828 | + | 0.990176i | \(0.544655\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 7.18796 | 0.374190 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −46.0311 | −2.38982 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −25.7958 | −1.33565 | −0.667827 | − | 0.744316i | \(-0.732776\pi\) | ||||
−0.667827 | + | 0.744316i | \(0.732776\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 20.9200 | 1.08031 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 2.23582 | 0.115151 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 5.57137 | 0.286182 | 0.143091 | − | 0.989710i | \(-0.454296\pi\) | ||||
0.143091 | + | 0.989710i | \(0.454296\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 19.3163 | 0.989604 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 35.7960 | 1.82909 | 0.914545 | − | 0.404485i | \(-0.132549\pi\) | ||||
0.914545 | + | 0.404485i | \(0.132549\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −25.1752 | −1.28305 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −15.1835 | −0.771823 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 11.5271 | 0.584448 | 0.292224 | − | 0.956350i | \(-0.405605\pi\) | ||||
0.292224 | + | 0.956350i | \(0.405605\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −14.7365 | −0.745256 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 22.8162 | 1.15092 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 9.68291 | 0.487200 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 23.3988 | 1.17435 | 0.587175 | − | 0.809460i | \(-0.300240\pi\) | ||||
0.587175 | + | 0.809460i | \(0.300240\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −14.8651 | −0.744185 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −9.59029 | −0.478916 | −0.239458 | − | 0.970907i | \(-0.576970\pi\) | ||||
−0.239458 | + | 0.970907i | \(0.576970\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.17777 | −0.0586691 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 12.6253 | 0.627358 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −28.6177 | −1.41853 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 19.5036 | 0.964390 | 0.482195 | − | 0.876064i | \(-0.339840\pi\) | ||||
0.482195 | + | 0.876064i | \(0.339840\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −13.9228 | −0.686763 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −9.49852 | −0.467391 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.20563 | 0.108270 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −29.1871 | −1.42930 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −32.7536 | −1.60012 | −0.800060 | − | 0.599921i | \(-0.795199\pi\) | ||||
−0.800060 | + | 0.599921i | \(0.795199\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −7.30658 | −0.356101 | −0.178051 | − | 0.984021i | \(-0.556979\pi\) | ||||
−0.178051 | + | 0.984021i | \(0.556979\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 18.4322 | 0.896203 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −17.9217 | −0.869332 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −38.4501 | −1.86073 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −3.98643 | −0.192467 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 13.3346 | 0.642307 | 0.321153 | − | 0.947027i | \(-0.395929\pi\) | ||||
0.321153 | + | 0.947027i | \(0.395929\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −16.0887 | −0.773175 | −0.386587 | − | 0.922253i | \(-0.626346\pi\) | ||||
−0.386587 | + | 0.922253i | \(0.626346\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −15.9496 | −0.764725 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −5.32558 | −0.254757 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 3.84338 | 0.183434 | 0.0917172 | − | 0.995785i | \(-0.470764\pi\) | ||||
0.0917172 | + | 0.995785i | \(0.470764\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 14.2414 | 0.678162 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −14.4500 | −0.686542 | −0.343271 | − | 0.939236i | \(-0.611535\pi\) | ||||
−0.343271 | + | 0.939236i | \(0.611535\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −16.5639 | −0.785204 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −33.6175 | −1.59005 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −9.12580 | −0.430673 | −0.215337 | − | 0.976540i | \(-0.569085\pi\) | ||||
−0.215337 | + | 0.976540i | \(0.569085\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −25.8843 | −1.21884 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 19.0601 | 0.895523 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 1.51612 | 0.0710766 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 0.218873 | 0.0102384 | 0.00511922 | − | 0.999987i | \(-0.498370\pi\) | ||||
0.00511922 | + | 0.999987i | \(0.498370\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −14.8450 | −0.692907 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −13.1822 | −0.613955 | −0.306978 | − | 0.951717i | \(-0.599318\pi\) | ||||
−0.306978 | + | 0.951717i | \(0.599318\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −7.77002 | −0.361104 | −0.180552 | − | 0.983565i | \(-0.557788\pi\) | ||||
−0.180552 | + | 0.983565i | \(0.557788\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 8.40184 | 0.389626 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −16.1107 | −0.745515 | −0.372758 | − | 0.927929i | \(-0.621588\pi\) | ||||
−0.372758 | + | 0.927929i | \(0.621588\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 11.2197 | 0.518078 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 1.68563 | 0.0776697 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 54.6768 | 2.51404 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −6.47669 | −0.297171 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 17.6920 | 0.810063 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −0.985380 | −0.0450231 | −0.0225116 | − | 0.999747i | \(-0.507166\pi\) | ||||
−0.0225116 | + | 0.999747i | \(0.507166\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.72343 | 0.0785819 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 26.3987 | 1.20118 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −6.70285 | −0.304361 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 12.8005 | 0.580045 | 0.290023 | − | 0.957020i | \(-0.406337\pi\) | ||||
0.290023 | + | 0.957020i | \(0.406337\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 50.7561 | 2.29527 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −11.4113 | −0.514985 | −0.257492 | − | 0.966280i | \(-0.582896\pi\) | ||||
−0.257492 | + | 0.966280i | \(0.582896\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 31.9304 | 1.43807 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 9.67606 | 0.434907 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −28.6742 | −1.28621 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 1.85189 | 0.0829020 | 0.0414510 | − | 0.999141i | \(-0.486802\pi\) | ||||
0.0414510 | + | 0.999141i | \(0.486802\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −27.5355 | −1.23019 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 18.2301 | 0.812839 | 0.406419 | − | 0.913687i | \(-0.366777\pi\) | ||||
0.406419 | + | 0.913687i | \(0.366777\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 3.81946 | 0.169964 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −27.4813 | −1.22049 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 30.9539 | 1.37201 | 0.686003 | − | 0.727598i | \(-0.259364\pi\) | ||||
0.686003 | + | 0.727598i | \(0.259364\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −26.7862 | −1.18495 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −5.36481 | −0.236862 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −1.85998 | −0.0819605 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −66.3753 | −2.91918 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 27.8732 | 1.22350 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 29.0190 | 1.27134 | 0.635672 | − | 0.771959i | \(-0.280723\pi\) | ||||
0.635672 | + | 0.771959i | \(0.280723\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 10.2059 | 0.446273 | 0.223137 | − | 0.974787i | \(-0.428370\pi\) | ||||
0.223137 | + | 0.974787i | \(0.428370\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 32.1047 | 1.40117 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −16.8201 | −0.732695 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −13.5424 | −0.588799 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 3.65075 | 0.158429 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 1.55882 | 0.0675200 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 4.08405 | 0.176569 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 19.6251 | 0.846884 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −51.2841 | −2.20896 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 39.6458 | 1.70451 | 0.852253 | − | 0.523129i | \(-0.175235\pi\) | ||||
0.852253 | + | 0.523129i | \(0.175235\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 1.30877 | 0.0561647 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0.601158 | 0.0257508 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −18.0926 | −0.773584 | −0.386792 | − | 0.922167i | \(-0.626417\pi\) | ||||
−0.386792 | + | 0.922167i | \(0.626417\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 14.7783 | 0.630722 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 11.5392 | 0.491588 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 34.7255 | 1.47668 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −12.2944 | −0.521868 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −25.5133 | −1.08103 | −0.540516 | − | 0.841334i | \(-0.681771\pi\) | ||||
−0.540516 | + | 0.841334i | \(0.681771\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −3.29278 | −0.139270 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −56.9313 | −2.40364 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −12.7379 | −0.536837 | −0.268419 | − | 0.963302i | \(-0.586501\pi\) | ||||
−0.268419 | + | 0.963302i | \(0.586501\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 18.9902 | 0.798926 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 45.2779 | 1.90149 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 32.3406 | 1.35579 | 0.677894 | − | 0.735160i | \(-0.262893\pi\) | ||||
0.677894 | + | 0.735160i | \(0.262893\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 31.3992 | 1.31401 | 0.657007 | − | 0.753884i | \(-0.271822\pi\) | ||||
0.657007 | + | 0.753884i | \(0.271822\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 13.4651 | 0.562514 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 11.5019 | 0.479661 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 25.3641 | 1.05592 | 0.527960 | − | 0.849269i | \(-0.322957\pi\) | ||||
0.527960 | + | 0.849269i | \(0.322957\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 23.0494 | 0.957900 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 7.91000 | 0.328162 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −63.7101 | −2.63860 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −0.582719 | −0.0240924 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −38.0082 | −1.56877 | −0.784383 | − | 0.620277i | \(-0.787020\pi\) | ||||
−0.784383 | + | 0.620277i | \(0.787020\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −6.07858 | −0.250463 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 44.5771 | 1.83366 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 28.7010 | 1.17861 | 0.589304 | − | 0.807911i | \(-0.299402\pi\) | ||||
0.589304 | + | 0.807911i | \(0.299402\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 21.6521 | 0.887648 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 30.6312 | 1.25365 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −25.5053 | −1.04212 | −0.521059 | − | 0.853520i | \(-0.674463\pi\) | ||||
−0.521059 | + | 0.853520i | \(0.674463\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 3.29859 | 0.134552 | 0.0672762 | − | 0.997734i | \(-0.478569\pi\) | ||||
0.0672762 | + | 0.997734i | \(0.478569\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −4.31229 | −0.175610 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −22.4968 | −0.914627 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −6.84359 | −0.277773 | −0.138886 | − | 0.990308i | \(-0.544352\pi\) | ||||
−0.138886 | + | 0.990308i | \(0.544352\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −57.1996 | −2.31785 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 3.99730 | 0.161714 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −33.1661 | −1.33957 | −0.669784 | − | 0.742556i | \(-0.733613\pi\) | ||||
−0.669784 | + | 0.742556i | \(0.733613\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −11.1201 | −0.448405 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 21.2071 | 0.853766 | 0.426883 | − | 0.904307i | \(-0.359612\pi\) | ||||
0.426883 | + | 0.904307i | \(0.359612\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 34.1470 | 1.37249 | 0.686243 | − | 0.727373i | \(-0.259259\pi\) | ||||
0.686243 | + | 0.727373i | \(0.259259\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 9.52729 | 0.382317 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −59.4026 | −2.37992 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 7.68823 | 0.307529 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −20.5742 | −0.821656 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 24.6128 | 0.981377 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −1.70207 | −0.0677584 | −0.0338792 | − | 0.999426i | \(-0.510786\pi\) | ||||
−0.0338792 | + | 0.999426i | \(0.510786\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 36.1556 | 1.43705 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −10.1678 | −0.403498 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 3.08847 | 0.122370 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 11.0209 | 0.435980 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 12.0794 | 0.477107 | 0.238553 | − | 0.971129i | \(-0.423327\pi\) | ||||
0.238553 | + | 0.971129i | \(0.423327\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −43.9208 | −1.73207 | −0.866033 | − | 0.499987i | \(-0.833338\pi\) | ||||
−0.866033 | + | 0.499987i | \(0.833338\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 23.4896 | 0.924902 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −30.1591 | −1.18567 | −0.592837 | − | 0.805322i | \(-0.701992\pi\) | ||||
−0.592837 | + | 0.805322i | \(0.701992\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −13.1466 | −0.516048 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 30.1313 | 1.18094 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −50.5228 | −1.97711 | −0.988555 | − | 0.150862i | \(-0.951795\pi\) | ||||
−0.988555 | + | 0.150862i | \(0.951795\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −12.0101 | −0.469274 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 10.2953 | 0.401656 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 43.4812 | 1.69379 | 0.846893 | − | 0.531763i | \(-0.178470\pi\) | ||||
0.846893 | + | 0.531763i | \(0.178470\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 14.3401 | 0.557765 | 0.278883 | − | 0.960325i | \(-0.410036\pi\) | ||||
0.278883 | + | 0.960325i | \(0.410036\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 3.42855 | 0.133154 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 7.82478 | 0.303432 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −20.4924 | −0.793469 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 48.8331 | 1.88800 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −53.2175 | −2.05444 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −22.0505 | −0.849982 | −0.424991 | − | 0.905197i | \(-0.639723\pi\) | ||||
−0.424991 | + | 0.905197i | \(0.639723\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 11.5866 | 0.445968 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −27.6304 | −1.06192 | −0.530960 | − | 0.847397i | \(-0.678169\pi\) | ||||
−0.530960 | + | 0.847397i | \(0.678169\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −24.0382 | −0.922503 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −40.9263 | −1.56830 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −6.39771 | −0.244802 | −0.122401 | − | 0.992481i | \(-0.539059\pi\) | ||||
−0.122401 | + | 0.992481i | \(0.539059\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 7.32879 | 0.280019 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −8.88240 | −0.338885 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 3.83679 | 0.146170 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 37.0289 | 1.40865 | 0.704324 | − | 0.709879i | \(-0.251250\pi\) | ||||
0.704324 | + | 0.709879i | \(0.251250\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 34.7010 | 1.31818 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 15.3637 | 0.582778 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 22.2619 | 0.843230 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −51.9859 | −1.96629 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −23.8442 | −0.900584 | −0.450292 | − | 0.892881i | \(-0.648680\pi\) | ||||
−0.450292 | + | 0.892881i | \(0.648680\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 8.89476 | 0.335472 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −28.5154 | −1.07395 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 13.6976 | 0.515153 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 3.10748 | 0.116704 | 0.0583519 | − | 0.998296i | \(-0.481415\pi\) | ||||
0.0583519 | + | 0.998296i | \(0.481415\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −13.3467 | −0.500542 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 10.7949 | 0.404271 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.09840 | 0.0784758 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 18.1015 | 0.676012 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 15.6524 | 0.583736 | 0.291868 | − | 0.956459i | \(-0.405723\pi\) | ||||
0.291868 | + | 0.956459i | \(0.405723\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −6.67039 | −0.248418 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −30.7198 | −1.14248 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −24.9218 | −0.925571 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 12.9463 | 0.480152 | 0.240076 | − | 0.970754i | \(-0.422828\pi\) | ||||
0.240076 | + | 0.970754i | \(0.422828\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 2.41600 | 0.0894813 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −47.0251 | −1.73929 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −29.5007 | −1.08963 | −0.544817 | − | 0.838555i | \(-0.683401\pi\) | ||||
−0.544817 | + | 0.838555i | \(0.683401\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −22.0321 | −0.812665 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 15.5288 | 0.572010 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −41.9176 | −1.54196 | −0.770982 | − | 0.636857i | \(-0.780234\pi\) | ||||
−0.770982 | + | 0.636857i | \(0.780234\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 1.23904 | 0.0455171 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 20.1143 | 0.737923 | 0.368961 | − | 0.929445i | \(-0.379713\pi\) | ||||
0.368961 | + | 0.929445i | \(0.379713\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 17.6958 | 0.648323 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −3.04020 | −0.111235 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 14.6465 | 0.535172 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −1.00000 | −0.0364905 | ||||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −26.2878 | −0.957980 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −10.0330 | −0.365138 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 26.2904 | 0.955539 | 0.477770 | − | 0.878485i | \(-0.341445\pi\) | ||||
0.477770 | + | 0.878485i | \(0.341445\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 36.5375 | 1.32623 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −39.0399 | −1.41520 | −0.707598 | − | 0.706615i | \(-0.750221\pi\) | ||||
−0.707598 | + | 0.706615i | \(0.750221\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 2.15591 | 0.0780493 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −8.32195 | −0.300881 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 0.791721 | 0.0285874 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 27.5522 | 0.993559 | 0.496779 | − | 0.867877i | \(-0.334516\pi\) | ||||
0.496779 | + | 0.867877i | \(0.334516\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −45.1496 | −1.62602 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 7.14155 | 0.256864 | 0.128432 | − | 0.991718i | \(-0.459006\pi\) | ||||
0.128432 | + | 0.991718i | \(0.459006\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 13.1281 | 0.471577 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −44.0910 | −1.58176 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 8.04517 | 0.288248 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −39.6869 | −1.42011 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −20.6433 | −0.737732 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −0.887293 | −0.0316688 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 23.1663 | 0.825788 | 0.412894 | − | 0.910779i | \(-0.364518\pi\) | ||||
0.412894 | + | 0.910779i | \(0.364518\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 36.2814 | 1.29165 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 68.1042 | 2.42151 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 3.20490 | 0.113809 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −27.3704 | −0.970727 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 1.70129 | 0.0602629 | 0.0301315 | − | 0.999546i | \(-0.490407\pi\) | ||||
0.0301315 | + | 0.999546i | \(0.490407\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 57.0865 | 2.01957 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 22.8314 | 0.806707 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −37.0738 | −1.30831 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −13.8959 | −0.489767 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −29.8447 | −1.05058 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 38.5226 | 1.35438 | 0.677192 | − | 0.735807i | \(-0.263197\pi\) | ||||
0.677192 | + | 0.735807i | \(0.263197\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −8.20547 | −0.288133 | −0.144067 | − | 0.989568i | \(-0.546018\pi\) | ||||
−0.144067 | + | 0.989568i | \(0.546018\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −23.8479 | −0.836383 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −26.7173 | −0.935867 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −16.9943 | −0.594555 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −2.08979 | −0.0730231 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 15.1611 | 0.529125 | 0.264562 | − | 0.964369i | \(-0.414772\pi\) | ||||
0.264562 | + | 0.964369i | \(0.414772\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −28.7968 | −1.00379 | −0.501896 | − | 0.864928i | \(-0.667364\pi\) | ||||
−0.501896 | + | 0.864928i | \(0.667364\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 44.4350 | 1.54703 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −35.8128 | −1.24533 | −0.622666 | − | 0.782488i | \(-0.713950\pi\) | ||||
−0.622666 | + | 0.782488i | \(0.713950\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −51.0514 | −1.77309 | −0.886544 | − | 0.462645i | \(-0.846900\pi\) | ||||
−0.886544 | + | 0.462645i | \(0.846900\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 26.3492 | 0.914045 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 44.1072 | 1.52822 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 14.4943 | 0.501596 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 10.8744 | 0.375873 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 27.5439 | 0.950920 | 0.475460 | − | 0.879737i | \(-0.342282\pi\) | ||||
0.475460 | + | 0.879737i | \(0.342282\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 15.4021 | 0.531105 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 16.6874 | 0.574746 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 14.4658 | 0.497639 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −80.6798 | −2.77219 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 16.8866 | 0.579548 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −15.7961 | −0.541483 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 52.7334 | 1.80556 | 0.902778 | − | 0.430107i | \(-0.141524\pi\) | ||||
0.902778 | + | 0.430107i | \(0.141524\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −3.00745 | −0.102853 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 20.2839 | 0.692885 | 0.346443 | − | 0.938071i | \(-0.387390\pi\) | ||||
0.346443 | + | 0.938071i | \(0.387390\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 8.72502 | 0.297694 | 0.148847 | − | 0.988860i | \(-0.452444\pi\) | ||||
0.148847 | + | 0.988860i | \(0.452444\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −39.8796 | −1.35909 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −20.7641 | −0.706817 | −0.353408 | − | 0.935469i | \(-0.614977\pi\) | ||||
−0.353408 | + | 0.935469i | \(0.614977\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −14.6721 | −0.498865 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 12.7130 | 0.431756 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 48.0624 | 1.63041 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.935186 | −0.0316876 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 9.23909 | 0.312696 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −39.4921 | −1.33508 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 45.9513 | 1.55167 | 0.775833 | − | 0.630939i | \(-0.217330\pi\) | ||||
0.775833 | + | 0.630939i | \(0.217330\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 11.8675 | 0.400282 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −44.3695 | −1.49485 | −0.747423 | − | 0.664349i | \(-0.768709\pi\) | ||||
−0.747423 | + | 0.664349i | \(0.768709\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 34.4308 | 1.15869 | 0.579345 | − | 0.815083i | \(-0.303309\pi\) | ||||
0.579345 | + | 0.815083i | \(0.303309\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −5.64787 | −0.189851 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 9.46631 | 0.317848 | 0.158924 | − | 0.987291i | \(-0.449198\pi\) | ||||
0.158924 | + | 0.987291i | \(0.449198\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −36.4646 | −1.22298 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 62.6675 | 2.09944 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 20.6303 | 0.690368 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −10.3304 | −0.345306 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −2.20039 | −0.0734688 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −23.3898 | −0.780095 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 54.7942 | 1.82546 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 84.2401 | 2.80333 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −0.688919 | −0.0229004 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 49.1029 | 1.63043 | 0.815217 | − | 0.579156i | \(-0.196618\pi\) | ||||
0.815217 | + | 0.579156i | \(0.196618\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −5.26468 | −0.174618 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 17.8459 | 0.591260 | 0.295630 | − | 0.955302i | \(-0.404470\pi\) | ||||
0.295630 | + | 0.955302i | \(0.404470\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 10.9479 | 0.362324 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −22.8627 | −0.755816 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −43.0715 | −1.42235 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −51.0203 | −1.68300 | −0.841501 | − | 0.540255i | \(-0.818328\pi\) | ||||
−0.841501 | + | 0.540255i | \(0.818328\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 3.29258 | 0.108494 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 2.39005 | 0.0786695 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −19.2104 | −0.631633 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 2.56376 | 0.0842050 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 31.6458 | 1.03827 | 0.519133 | − | 0.854693i | \(-0.326255\pi\) | ||||
0.519133 | + | 0.854693i | \(0.326255\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 15.9398 | 0.522406 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −54.7379 | −1.79204 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 29.9678 | 0.980053 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 3.25942 | 0.106481 | 0.0532404 | − | 0.998582i | \(-0.483045\pi\) | ||||
0.0532404 | + | 0.998582i | \(0.483045\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −40.7139 | −1.32865 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 17.3811 | 0.566608 | 0.283304 | − | 0.959030i | \(-0.408570\pi\) | ||||
0.283304 | + | 0.959030i | \(0.408570\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −14.2873 | −0.465259 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −13.9983 | −0.455364 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 45.8162 | 1.48883 | 0.744413 | − | 0.667719i | \(-0.232729\pi\) | ||||
0.744413 | + | 0.667719i | \(0.232729\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 2.23268 | 0.0724760 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −42.5121 | −1.37855 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 36.8662 | 1.19421 | 0.597107 | − | 0.802162i | \(-0.296317\pi\) | ||||
0.597107 | + | 0.802162i | \(0.296317\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −7.08787 | −0.229358 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −79.1680 | −2.55914 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 26.2830 | 0.848723 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −18.6788 | −0.602543 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −5.62938 | −0.181404 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −12.1329 | −0.390571 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 10.7123 | 0.344485 | 0.172243 | − | 0.985055i | \(-0.444899\pi\) | ||||
0.172243 | + | 0.985055i | \(0.444899\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 17.6950 | 0.568445 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 32.4423 | 1.04112 | 0.520561 | − | 0.853824i | \(-0.325723\pi\) | ||||
0.520561 | + | 0.853824i | \(0.325723\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 55.0984 | 1.76637 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −2.67600 | −0.0857005 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −17.8203 | −0.570121 | −0.285060 | − | 0.958510i | \(-0.592014\pi\) | ||||
−0.285060 | + | 0.958510i | \(0.592014\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −82.2171 | −2.62767 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −0.828625 | −0.0264559 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −2.06406 | −0.0658333 | −0.0329166 | − | 0.999458i | \(-0.510480\pi\) | ||||
−0.0329166 | + | 0.999458i | \(0.510480\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −23.4648 | −0.747649 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −102.264 | −3.25510 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 30.1799 | 0.959666 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 31.7175 | 1.00754 | 0.503770 | − | 0.863838i | \(-0.331946\pi\) | ||||
0.503770 | + | 0.863838i | \(0.331946\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 68.6915 | 2.17986 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −16.1238 | −0.511160 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −53.5470 | −1.69585 | −0.847925 | − | 0.530116i | \(-0.822148\pi\) | ||||
−0.847925 | + | 0.530116i | \(0.822148\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −15.9124 | −0.503447 |
(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.e.1.39 | ✓ | 50 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
6008.2.a.e.1.39 | ✓ | 50 | 1.1 | even | 1 | trivial |