Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [6026,2,Mod(1,6026)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(6026, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([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("6026.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 6026 = 2 \cdot 23 \cdot 131 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6026.a (trivial) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | yes |
Analytic conductor: | \(48.1178522580\) |
Analytic rank: | \(1\) |
Dimension: | \(24\) |
Twist minimal: | yes |
Fricke sign: | \(1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.24 | ||
Character | \(\chi\) | \(=\) | 6026.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.00000 | −0.707107 | ||||||||
\(3\) | 3.27738 | 1.89219 | 0.946097 | − | 0.323884i | \(-0.104989\pi\) | ||||
0.946097 | + | 0.323884i | \(0.104989\pi\) | |||||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | 0.672993 | 0.300971 | 0.150486 | − | 0.988612i | \(-0.451916\pi\) | ||||
0.150486 | + | 0.988612i | \(0.451916\pi\) | |||||||
\(6\) | −3.27738 | −1.33798 | ||||||||
\(7\) | −2.46940 | −0.933346 | −0.466673 | − | 0.884430i | \(-0.654547\pi\) | ||||
−0.466673 | + | 0.884430i | \(0.654547\pi\) | |||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 7.74119 | 2.58040 | ||||||||
\(10\) | −0.672993 | −0.212819 | ||||||||
\(11\) | −2.72025 | −0.820187 | −0.410093 | − | 0.912044i | \(-0.634504\pi\) | ||||
−0.410093 | + | 0.912044i | \(0.634504\pi\) | |||||||
\(12\) | 3.27738 | 0.946097 | ||||||||
\(13\) | −4.85867 | −1.34755 | −0.673776 | − | 0.738935i | \(-0.735329\pi\) | ||||
−0.673776 | + | 0.738935i | \(0.735329\pi\) | |||||||
\(14\) | 2.46940 | 0.659975 | ||||||||
\(15\) | 2.20565 | 0.569496 | ||||||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | −5.69100 | −1.38027 | −0.690135 | − | 0.723681i | \(-0.742449\pi\) | ||||
−0.690135 | + | 0.723681i | \(0.742449\pi\) | |||||||
\(18\) | −7.74119 | −1.82462 | ||||||||
\(19\) | 4.50325 | 1.03312 | 0.516558 | − | 0.856252i | \(-0.327213\pi\) | ||||
0.516558 | + | 0.856252i | \(0.327213\pi\) | |||||||
\(20\) | 0.672993 | 0.150486 | ||||||||
\(21\) | −8.09315 | −1.76607 | ||||||||
\(22\) | 2.72025 | 0.579960 | ||||||||
\(23\) | −1.00000 | −0.208514 | ||||||||
\(24\) | −3.27738 | −0.668991 | ||||||||
\(25\) | −4.54708 | −0.909416 | ||||||||
\(26\) | 4.85867 | 0.952864 | ||||||||
\(27\) | 15.5387 | 2.99042 | ||||||||
\(28\) | −2.46940 | −0.466673 | ||||||||
\(29\) | −0.111652 | −0.0207332 | −0.0103666 | − | 0.999946i | \(-0.503300\pi\) | ||||
−0.0103666 | + | 0.999946i | \(0.503300\pi\) | |||||||
\(30\) | −2.20565 | −0.402695 | ||||||||
\(31\) | 0.359190 | 0.0645124 | 0.0322562 | − | 0.999480i | \(-0.489731\pi\) | ||||
0.0322562 | + | 0.999480i | \(0.489731\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | −8.91528 | −1.55195 | ||||||||
\(34\) | 5.69100 | 0.975998 | ||||||||
\(35\) | −1.66189 | −0.280910 | ||||||||
\(36\) | 7.74119 | 1.29020 | ||||||||
\(37\) | 3.00619 | 0.494214 | 0.247107 | − | 0.968988i | \(-0.420520\pi\) | ||||
0.247107 | + | 0.968988i | \(0.420520\pi\) | |||||||
\(38\) | −4.50325 | −0.730523 | ||||||||
\(39\) | −15.9237 | −2.54983 | ||||||||
\(40\) | −0.672993 | −0.106409 | ||||||||
\(41\) | −5.58923 | −0.872891 | −0.436446 | − | 0.899731i | \(-0.643763\pi\) | ||||
−0.436446 | + | 0.899731i | \(0.643763\pi\) | |||||||
\(42\) | 8.09315 | 1.24880 | ||||||||
\(43\) | −3.52544 | −0.537624 | −0.268812 | − | 0.963193i | \(-0.586631\pi\) | ||||
−0.268812 | + | 0.963193i | \(0.586631\pi\) | |||||||
\(44\) | −2.72025 | −0.410093 | ||||||||
\(45\) | 5.20976 | 0.776625 | ||||||||
\(46\) | 1.00000 | 0.147442 | ||||||||
\(47\) | 4.33998 | 0.633051 | 0.316526 | − | 0.948584i | \(-0.397484\pi\) | ||||
0.316526 | + | 0.948584i | \(0.397484\pi\) | |||||||
\(48\) | 3.27738 | 0.473048 | ||||||||
\(49\) | −0.902057 | −0.128865 | ||||||||
\(50\) | 4.54708 | 0.643054 | ||||||||
\(51\) | −18.6515 | −2.61174 | ||||||||
\(52\) | −4.85867 | −0.673776 | ||||||||
\(53\) | 4.79375 | 0.658472 | 0.329236 | − | 0.944248i | \(-0.393209\pi\) | ||||
0.329236 | + | 0.944248i | \(0.393209\pi\) | |||||||
\(54\) | −15.5387 | −2.11454 | ||||||||
\(55\) | −1.83071 | −0.246853 | ||||||||
\(56\) | 2.46940 | 0.329988 | ||||||||
\(57\) | 14.7588 | 1.95486 | ||||||||
\(58\) | 0.111652 | 0.0146606 | ||||||||
\(59\) | −2.17382 | −0.283007 | −0.141504 | − | 0.989938i | \(-0.545194\pi\) | ||||
−0.141504 | + | 0.989938i | \(0.545194\pi\) | |||||||
\(60\) | 2.20565 | 0.284748 | ||||||||
\(61\) | −0.654976 | −0.0838611 | −0.0419305 | − | 0.999121i | \(-0.513351\pi\) | ||||
−0.0419305 | + | 0.999121i | \(0.513351\pi\) | |||||||
\(62\) | −0.359190 | −0.0456172 | ||||||||
\(63\) | −19.1161 | −2.40840 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −3.26985 | −0.405575 | ||||||||
\(66\) | 8.91528 | 1.09740 | ||||||||
\(67\) | −0.983839 | −0.120195 | −0.0600975 | − | 0.998193i | \(-0.519141\pi\) | ||||
−0.0600975 | + | 0.998193i | \(0.519141\pi\) | |||||||
\(68\) | −5.69100 | −0.690135 | ||||||||
\(69\) | −3.27738 | −0.394550 | ||||||||
\(70\) | 1.66189 | 0.198634 | ||||||||
\(71\) | 11.3274 | 1.34432 | 0.672160 | − | 0.740406i | \(-0.265367\pi\) | ||||
0.672160 | + | 0.740406i | \(0.265367\pi\) | |||||||
\(72\) | −7.74119 | −0.912308 | ||||||||
\(73\) | −8.31522 | −0.973223 | −0.486611 | − | 0.873619i | \(-0.661767\pi\) | ||||
−0.486611 | + | 0.873619i | \(0.661767\pi\) | |||||||
\(74\) | −3.00619 | −0.349462 | ||||||||
\(75\) | −14.9025 | −1.72079 | ||||||||
\(76\) | 4.50325 | 0.516558 | ||||||||
\(77\) | 6.71739 | 0.765518 | ||||||||
\(78\) | 15.9237 | 1.80300 | ||||||||
\(79\) | −14.9928 | −1.68682 | −0.843409 | − | 0.537271i | \(-0.819455\pi\) | ||||
−0.843409 | + | 0.537271i | \(0.819455\pi\) | |||||||
\(80\) | 0.672993 | 0.0752429 | ||||||||
\(81\) | 27.7024 | 3.07805 | ||||||||
\(82\) | 5.58923 | 0.617227 | ||||||||
\(83\) | 3.35089 | 0.367808 | 0.183904 | − | 0.982944i | \(-0.441126\pi\) | ||||
0.183904 | + | 0.982944i | \(0.441126\pi\) | |||||||
\(84\) | −8.09315 | −0.883036 | ||||||||
\(85\) | −3.83000 | −0.415422 | ||||||||
\(86\) | 3.52544 | 0.380157 | ||||||||
\(87\) | −0.365925 | −0.0392313 | ||||||||
\(88\) | 2.72025 | 0.289980 | ||||||||
\(89\) | −14.5057 | −1.53760 | −0.768801 | − | 0.639488i | \(-0.779146\pi\) | ||||
−0.768801 | + | 0.639488i | \(0.779146\pi\) | |||||||
\(90\) | −5.20976 | −0.549157 | ||||||||
\(91\) | 11.9980 | 1.25773 | ||||||||
\(92\) | −1.00000 | −0.104257 | ||||||||
\(93\) | 1.17720 | 0.122070 | ||||||||
\(94\) | −4.33998 | −0.447635 | ||||||||
\(95\) | 3.03065 | 0.310938 | ||||||||
\(96\) | −3.27738 | −0.334496 | ||||||||
\(97\) | −9.65785 | −0.980606 | −0.490303 | − | 0.871552i | \(-0.663114\pi\) | ||||
−0.490303 | + | 0.871552i | \(0.663114\pi\) | |||||||
\(98\) | 0.902057 | 0.0911215 | ||||||||
\(99\) | −21.0580 | −2.11641 | ||||||||
\(100\) | −4.54708 | −0.454708 | ||||||||
\(101\) | −11.8330 | −1.17743 | −0.588714 | − | 0.808342i | \(-0.700365\pi\) | ||||
−0.588714 | + | 0.808342i | \(0.700365\pi\) | |||||||
\(102\) | 18.6515 | 1.84678 | ||||||||
\(103\) | −0.537652 | −0.0529764 | −0.0264882 | − | 0.999649i | \(-0.508432\pi\) | ||||
−0.0264882 | + | 0.999649i | \(0.508432\pi\) | |||||||
\(104\) | 4.85867 | 0.476432 | ||||||||
\(105\) | −5.44663 | −0.531537 | ||||||||
\(106\) | −4.79375 | −0.465610 | ||||||||
\(107\) | −13.4091 | −1.29631 | −0.648153 | − | 0.761510i | \(-0.724458\pi\) | ||||
−0.648153 | + | 0.761510i | \(0.724458\pi\) | |||||||
\(108\) | 15.5387 | 1.49521 | ||||||||
\(109\) | −14.8228 | −1.41977 | −0.709886 | − | 0.704317i | \(-0.751253\pi\) | ||||
−0.709886 | + | 0.704317i | \(0.751253\pi\) | |||||||
\(110\) | 1.83071 | 0.174551 | ||||||||
\(111\) | 9.85240 | 0.935149 | ||||||||
\(112\) | −2.46940 | −0.233337 | ||||||||
\(113\) | −0.929835 | −0.0874715 | −0.0437357 | − | 0.999043i | \(-0.513926\pi\) | ||||
−0.0437357 | + | 0.999043i | \(0.513926\pi\) | |||||||
\(114\) | −14.7588 | −1.38229 | ||||||||
\(115\) | −0.672993 | −0.0627569 | ||||||||
\(116\) | −0.111652 | −0.0103666 | ||||||||
\(117\) | −37.6119 | −3.47722 | ||||||||
\(118\) | 2.17382 | 0.200116 | ||||||||
\(119\) | 14.0534 | 1.28827 | ||||||||
\(120\) | −2.20565 | −0.201347 | ||||||||
\(121\) | −3.60023 | −0.327294 | ||||||||
\(122\) | 0.654976 | 0.0592988 | ||||||||
\(123\) | −18.3180 | −1.65168 | ||||||||
\(124\) | 0.359190 | 0.0322562 | ||||||||
\(125\) | −6.42511 | −0.574680 | ||||||||
\(126\) | 19.1161 | 1.70300 | ||||||||
\(127\) | 13.0317 | 1.15638 | 0.578190 | − | 0.815902i | \(-0.303759\pi\) | ||||
0.578190 | + | 0.815902i | \(0.303759\pi\) | |||||||
\(128\) | −1.00000 | −0.0883883 | ||||||||
\(129\) | −11.5542 | −1.01729 | ||||||||
\(130\) | 3.26985 | 0.286785 | ||||||||
\(131\) | −1.00000 | −0.0873704 | ||||||||
\(132\) | −8.91528 | −0.775976 | ||||||||
\(133\) | −11.1203 | −0.964255 | ||||||||
\(134\) | 0.983839 | 0.0849907 | ||||||||
\(135\) | 10.4574 | 0.900029 | ||||||||
\(136\) | 5.69100 | 0.487999 | ||||||||
\(137\) | −2.90262 | −0.247987 | −0.123994 | − | 0.992283i | \(-0.539570\pi\) | ||||
−0.123994 | + | 0.992283i | \(0.539570\pi\) | |||||||
\(138\) | 3.27738 | 0.278989 | ||||||||
\(139\) | 17.9545 | 1.52288 | 0.761441 | − | 0.648235i | \(-0.224492\pi\) | ||||
0.761441 | + | 0.648235i | \(0.224492\pi\) | |||||||
\(140\) | −1.66189 | −0.140455 | ||||||||
\(141\) | 14.2237 | 1.19786 | ||||||||
\(142\) | −11.3274 | −0.950578 | ||||||||
\(143\) | 13.2168 | 1.10524 | ||||||||
\(144\) | 7.74119 | 0.645099 | ||||||||
\(145\) | −0.0751408 | −0.00624010 | ||||||||
\(146\) | 8.31522 | 0.688172 | ||||||||
\(147\) | −2.95638 | −0.243838 | ||||||||
\(148\) | 3.00619 | 0.247107 | ||||||||
\(149\) | −5.76602 | −0.472371 | −0.236185 | − | 0.971708i | \(-0.575897\pi\) | ||||
−0.236185 | + | 0.971708i | \(0.575897\pi\) | |||||||
\(150\) | 14.9025 | 1.21678 | ||||||||
\(151\) | 11.3445 | 0.923203 | 0.461601 | − | 0.887088i | \(-0.347275\pi\) | ||||
0.461601 | + | 0.887088i | \(0.347275\pi\) | |||||||
\(152\) | −4.50325 | −0.365262 | ||||||||
\(153\) | −44.0551 | −3.56164 | ||||||||
\(154\) | −6.71739 | −0.541303 | ||||||||
\(155\) | 0.241732 | 0.0194164 | ||||||||
\(156\) | −15.9237 | −1.27492 | ||||||||
\(157\) | 6.21486 | 0.496000 | 0.248000 | − | 0.968760i | \(-0.420227\pi\) | ||||
0.248000 | + | 0.968760i | \(0.420227\pi\) | |||||||
\(158\) | 14.9928 | 1.19276 | ||||||||
\(159\) | 15.7109 | 1.24596 | ||||||||
\(160\) | −0.672993 | −0.0532047 | ||||||||
\(161\) | 2.46940 | 0.194616 | ||||||||
\(162\) | −27.7024 | −2.17651 | ||||||||
\(163\) | −6.87668 | −0.538623 | −0.269312 | − | 0.963053i | \(-0.586796\pi\) | ||||
−0.269312 | + | 0.963053i | \(0.586796\pi\) | |||||||
\(164\) | −5.58923 | −0.436446 | ||||||||
\(165\) | −5.99992 | −0.467093 | ||||||||
\(166\) | −3.35089 | −0.260079 | ||||||||
\(167\) | −4.59332 | −0.355442 | −0.177721 | − | 0.984081i | \(-0.556872\pi\) | ||||
−0.177721 | + | 0.984081i | \(0.556872\pi\) | |||||||
\(168\) | 8.09315 | 0.624400 | ||||||||
\(169\) | 10.6067 | 0.815899 | ||||||||
\(170\) | 3.83000 | 0.293748 | ||||||||
\(171\) | 34.8605 | 2.66585 | ||||||||
\(172\) | −3.52544 | −0.268812 | ||||||||
\(173\) | 21.8306 | 1.65975 | 0.829875 | − | 0.557949i | \(-0.188412\pi\) | ||||
0.829875 | + | 0.557949i | \(0.188412\pi\) | |||||||
\(174\) | 0.365925 | 0.0277407 | ||||||||
\(175\) | 11.2286 | 0.848800 | ||||||||
\(176\) | −2.72025 | −0.205047 | ||||||||
\(177\) | −7.12442 | −0.535504 | ||||||||
\(178\) | 14.5057 | 1.08725 | ||||||||
\(179\) | 0.596979 | 0.0446203 | 0.0223102 | − | 0.999751i | \(-0.492898\pi\) | ||||
0.0223102 | + | 0.999751i | \(0.492898\pi\) | |||||||
\(180\) | 5.20976 | 0.388313 | ||||||||
\(181\) | −8.26363 | −0.614231 | −0.307115 | − | 0.951672i | \(-0.599364\pi\) | ||||
−0.307115 | + | 0.951672i | \(0.599364\pi\) | |||||||
\(182\) | −11.9980 | −0.889352 | ||||||||
\(183\) | −2.14660 | −0.158681 | ||||||||
\(184\) | 1.00000 | 0.0737210 | ||||||||
\(185\) | 2.02314 | 0.148744 | ||||||||
\(186\) | −1.17720 | −0.0863165 | ||||||||
\(187\) | 15.4809 | 1.13208 | ||||||||
\(188\) | 4.33998 | 0.316526 | ||||||||
\(189\) | −38.3712 | −2.79109 | ||||||||
\(190\) | −3.03065 | −0.219867 | ||||||||
\(191\) | 6.65464 | 0.481513 | 0.240757 | − | 0.970586i | \(-0.422604\pi\) | ||||
0.240757 | + | 0.970586i | \(0.422604\pi\) | |||||||
\(192\) | 3.27738 | 0.236524 | ||||||||
\(193\) | 0.746691 | 0.0537480 | 0.0268740 | − | 0.999639i | \(-0.491445\pi\) | ||||
0.0268740 | + | 0.999639i | \(0.491445\pi\) | |||||||
\(194\) | 9.65785 | 0.693393 | ||||||||
\(195\) | −10.7165 | −0.767426 | ||||||||
\(196\) | −0.902057 | −0.0644326 | ||||||||
\(197\) | −15.2183 | −1.08426 | −0.542130 | − | 0.840294i | \(-0.682382\pi\) | ||||
−0.542130 | + | 0.840294i | \(0.682382\pi\) | |||||||
\(198\) | 21.0580 | 1.49653 | ||||||||
\(199\) | −24.2595 | −1.71971 | −0.859856 | − | 0.510537i | \(-0.829447\pi\) | ||||
−0.859856 | + | 0.510537i | \(0.829447\pi\) | |||||||
\(200\) | 4.54708 | 0.321527 | ||||||||
\(201\) | −3.22441 | −0.227432 | ||||||||
\(202\) | 11.8330 | 0.832567 | ||||||||
\(203\) | 0.275713 | 0.0193513 | ||||||||
\(204\) | −18.6515 | −1.30587 | ||||||||
\(205\) | −3.76151 | −0.262715 | ||||||||
\(206\) | 0.537652 | 0.0374600 | ||||||||
\(207\) | −7.74119 | −0.538050 | ||||||||
\(208\) | −4.85867 | −0.336888 | ||||||||
\(209\) | −12.2500 | −0.847348 | ||||||||
\(210\) | 5.44663 | 0.375853 | ||||||||
\(211\) | −10.6607 | −0.733913 | −0.366957 | − | 0.930238i | \(-0.619600\pi\) | ||||
−0.366957 | + | 0.930238i | \(0.619600\pi\) | |||||||
\(212\) | 4.79375 | 0.329236 | ||||||||
\(213\) | 37.1243 | 2.54371 | ||||||||
\(214\) | 13.4091 | 0.916627 | ||||||||
\(215\) | −2.37259 | −0.161809 | ||||||||
\(216\) | −15.5387 | −1.05727 | ||||||||
\(217\) | −0.886984 | −0.0602124 | ||||||||
\(218\) | 14.8228 | 1.00393 | ||||||||
\(219\) | −27.2521 | −1.84153 | ||||||||
\(220\) | −1.83071 | −0.123426 | ||||||||
\(221\) | 27.6507 | 1.85999 | ||||||||
\(222\) | −9.85240 | −0.661250 | ||||||||
\(223\) | −24.3145 | −1.62822 | −0.814110 | − | 0.580711i | \(-0.802775\pi\) | ||||
−0.814110 | + | 0.580711i | \(0.802775\pi\) | |||||||
\(224\) | 2.46940 | 0.164994 | ||||||||
\(225\) | −35.1998 | −2.34665 | ||||||||
\(226\) | 0.929835 | 0.0618517 | ||||||||
\(227\) | −9.02089 | −0.598737 | −0.299369 | − | 0.954138i | \(-0.596776\pi\) | ||||
−0.299369 | + | 0.954138i | \(0.596776\pi\) | |||||||
\(228\) | 14.7588 | 0.977428 | ||||||||
\(229\) | −7.30526 | −0.482745 | −0.241373 | − | 0.970433i | \(-0.577598\pi\) | ||||
−0.241373 | + | 0.970433i | \(0.577598\pi\) | |||||||
\(230\) | 0.672993 | 0.0443758 | ||||||||
\(231\) | 22.0154 | 1.44851 | ||||||||
\(232\) | 0.111652 | 0.00733030 | ||||||||
\(233\) | −6.99032 | −0.457951 | −0.228976 | − | 0.973432i | \(-0.573538\pi\) | ||||
−0.228976 | + | 0.973432i | \(0.573538\pi\) | |||||||
\(234\) | 37.6119 | 2.45877 | ||||||||
\(235\) | 2.92077 | 0.190530 | ||||||||
\(236\) | −2.17382 | −0.141504 | ||||||||
\(237\) | −49.1369 | −3.19179 | ||||||||
\(238\) | −14.0534 | −0.910944 | ||||||||
\(239\) | −15.1187 | −0.977948 | −0.488974 | − | 0.872298i | \(-0.662629\pi\) | ||||
−0.488974 | + | 0.872298i | \(0.662629\pi\) | |||||||
\(240\) | 2.20565 | 0.142374 | ||||||||
\(241\) | −14.3638 | −0.925251 | −0.462626 | − | 0.886554i | \(-0.653093\pi\) | ||||
−0.462626 | + | 0.886554i | \(0.653093\pi\) | |||||||
\(242\) | 3.60023 | 0.231432 | ||||||||
\(243\) | 44.1753 | 2.83385 | ||||||||
\(244\) | −0.654976 | −0.0419305 | ||||||||
\(245\) | −0.607077 | −0.0387848 | ||||||||
\(246\) | 18.3180 | 1.16791 | ||||||||
\(247\) | −21.8798 | −1.39218 | ||||||||
\(248\) | −0.359190 | −0.0228086 | ||||||||
\(249\) | 10.9821 | 0.695963 | ||||||||
\(250\) | 6.42511 | 0.406360 | ||||||||
\(251\) | 9.79525 | 0.618271 | 0.309135 | − | 0.951018i | \(-0.399960\pi\) | ||||
0.309135 | + | 0.951018i | \(0.399960\pi\) | |||||||
\(252\) | −19.1161 | −1.20420 | ||||||||
\(253\) | 2.72025 | 0.171021 | ||||||||
\(254\) | −13.0317 | −0.817684 | ||||||||
\(255\) | −12.5523 | −0.786058 | ||||||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −7.41344 | −0.462438 | −0.231219 | − | 0.972902i | \(-0.574271\pi\) | ||||
−0.231219 | + | 0.972902i | \(0.574271\pi\) | |||||||
\(258\) | 11.5542 | 0.719332 | ||||||||
\(259\) | −7.42348 | −0.461273 | ||||||||
\(260\) | −3.26985 | −0.202787 | ||||||||
\(261\) | −0.864317 | −0.0534999 | ||||||||
\(262\) | 1.00000 | 0.0617802 | ||||||||
\(263\) | 14.3565 | 0.885263 | 0.442631 | − | 0.896704i | \(-0.354045\pi\) | ||||
0.442631 | + | 0.896704i | \(0.354045\pi\) | |||||||
\(264\) | 8.91528 | 0.548698 | ||||||||
\(265\) | 3.22616 | 0.198181 | ||||||||
\(266\) | 11.1203 | 0.681831 | ||||||||
\(267\) | −47.5406 | −2.90944 | ||||||||
\(268\) | −0.983839 | −0.0600975 | ||||||||
\(269\) | 23.3541 | 1.42393 | 0.711963 | − | 0.702217i | \(-0.247806\pi\) | ||||
0.711963 | + | 0.702217i | \(0.247806\pi\) | |||||||
\(270\) | −10.4574 | −0.636417 | ||||||||
\(271\) | −17.3327 | −1.05288 | −0.526442 | − | 0.850211i | \(-0.676474\pi\) | ||||
−0.526442 | + | 0.850211i | \(0.676474\pi\) | |||||||
\(272\) | −5.69100 | −0.345068 | ||||||||
\(273\) | 39.3220 | 2.37987 | ||||||||
\(274\) | 2.90262 | 0.175354 | ||||||||
\(275\) | 12.3692 | 0.745891 | ||||||||
\(276\) | −3.27738 | −0.197275 | ||||||||
\(277\) | 26.1333 | 1.57020 | 0.785100 | − | 0.619369i | \(-0.212612\pi\) | ||||
0.785100 | + | 0.619369i | \(0.212612\pi\) | |||||||
\(278\) | −17.9545 | −1.07684 | ||||||||
\(279\) | 2.78056 | 0.166468 | ||||||||
\(280\) | 1.66189 | 0.0993168 | ||||||||
\(281\) | −17.6203 | −1.05114 | −0.525569 | − | 0.850751i | \(-0.676148\pi\) | ||||
−0.525569 | + | 0.850751i | \(0.676148\pi\) | |||||||
\(282\) | −14.2237 | −0.847012 | ||||||||
\(283\) | 17.5816 | 1.04512 | 0.522559 | − | 0.852603i | \(-0.324977\pi\) | ||||
0.522559 | + | 0.852603i | \(0.324977\pi\) | |||||||
\(284\) | 11.3274 | 0.672160 | ||||||||
\(285\) | 9.93259 | 0.588356 | ||||||||
\(286\) | −13.2168 | −0.781526 | ||||||||
\(287\) | 13.8021 | 0.814710 | ||||||||
\(288\) | −7.74119 | −0.456154 | ||||||||
\(289\) | 15.3875 | 0.905146 | ||||||||
\(290\) | 0.0751408 | 0.00441242 | ||||||||
\(291\) | −31.6524 | −1.85550 | ||||||||
\(292\) | −8.31522 | −0.486611 | ||||||||
\(293\) | 19.9662 | 1.16644 | 0.583220 | − | 0.812315i | \(-0.301793\pi\) | ||||
0.583220 | + | 0.812315i | \(0.301793\pi\) | |||||||
\(294\) | 2.95638 | 0.172419 | ||||||||
\(295\) | −1.46296 | −0.0851770 | ||||||||
\(296\) | −3.00619 | −0.174731 | ||||||||
\(297\) | −42.2690 | −2.45270 | ||||||||
\(298\) | 5.76602 | 0.334017 | ||||||||
\(299\) | 4.85867 | 0.280984 | ||||||||
\(300\) | −14.9025 | −0.860396 | ||||||||
\(301\) | 8.70572 | 0.501789 | ||||||||
\(302\) | −11.3445 | −0.652803 | ||||||||
\(303\) | −38.7812 | −2.22792 | ||||||||
\(304\) | 4.50325 | 0.258279 | ||||||||
\(305\) | −0.440794 | −0.0252398 | ||||||||
\(306\) | 44.0551 | 2.51846 | ||||||||
\(307\) | 30.0142 | 1.71300 | 0.856502 | − | 0.516144i | \(-0.172633\pi\) | ||||
0.856502 | + | 0.516144i | \(0.172633\pi\) | |||||||
\(308\) | 6.71739 | 0.382759 | ||||||||
\(309\) | −1.76209 | −0.100242 | ||||||||
\(310\) | −0.241732 | −0.0137295 | ||||||||
\(311\) | −6.98218 | −0.395923 | −0.197962 | − | 0.980210i | \(-0.563432\pi\) | ||||
−0.197962 | + | 0.980210i | \(0.563432\pi\) | |||||||
\(312\) | 15.9237 | 0.901501 | ||||||||
\(313\) | 9.82075 | 0.555101 | 0.277551 | − | 0.960711i | \(-0.410477\pi\) | ||||
0.277551 | + | 0.960711i | \(0.410477\pi\) | |||||||
\(314\) | −6.21486 | −0.350725 | ||||||||
\(315\) | −12.8650 | −0.724860 | ||||||||
\(316\) | −14.9928 | −0.843409 | ||||||||
\(317\) | 8.47516 | 0.476012 | 0.238006 | − | 0.971264i | \(-0.423506\pi\) | ||||
0.238006 | + | 0.971264i | \(0.423506\pi\) | |||||||
\(318\) | −15.7109 | −0.881024 | ||||||||
\(319\) | 0.303721 | 0.0170051 | ||||||||
\(320\) | 0.672993 | 0.0376214 | ||||||||
\(321\) | −43.9466 | −2.45286 | ||||||||
\(322\) | −2.46940 | −0.137614 | ||||||||
\(323\) | −25.6280 | −1.42598 | ||||||||
\(324\) | 27.7024 | 1.53902 | ||||||||
\(325\) | 22.0928 | 1.22549 | ||||||||
\(326\) | 6.87668 | 0.380864 | ||||||||
\(327\) | −48.5800 | −2.68648 | ||||||||
\(328\) | 5.58923 | 0.308614 | ||||||||
\(329\) | −10.7172 | −0.590856 | ||||||||
\(330\) | 5.99992 | 0.330285 | ||||||||
\(331\) | −16.9272 | −0.930402 | −0.465201 | − | 0.885205i | \(-0.654018\pi\) | ||||
−0.465201 | + | 0.885205i | \(0.654018\pi\) | |||||||
\(332\) | 3.35089 | 0.183904 | ||||||||
\(333\) | 23.2715 | 1.27527 | ||||||||
\(334\) | 4.59332 | 0.251335 | ||||||||
\(335\) | −0.662116 | −0.0361753 | ||||||||
\(336\) | −8.09315 | −0.441518 | ||||||||
\(337\) | 19.0862 | 1.03969 | 0.519844 | − | 0.854261i | \(-0.325990\pi\) | ||||
0.519844 | + | 0.854261i | \(0.325990\pi\) | |||||||
\(338\) | −10.6067 | −0.576928 | ||||||||
\(339\) | −3.04742 | −0.165513 | ||||||||
\(340\) | −3.83000 | −0.207711 | ||||||||
\(341\) | −0.977087 | −0.0529122 | ||||||||
\(342\) | −34.8605 | −1.88504 | ||||||||
\(343\) | 19.5133 | 1.05362 | ||||||||
\(344\) | 3.52544 | 0.190079 | ||||||||
\(345\) | −2.20565 | −0.118748 | ||||||||
\(346\) | −21.8306 | −1.17362 | ||||||||
\(347\) | 3.48175 | 0.186910 | 0.0934550 | − | 0.995624i | \(-0.470209\pi\) | ||||
0.0934550 | + | 0.995624i | \(0.470209\pi\) | |||||||
\(348\) | −0.365925 | −0.0196156 | ||||||||
\(349\) | 20.5414 | 1.09956 | 0.549779 | − | 0.835310i | \(-0.314712\pi\) | ||||
0.549779 | + | 0.835310i | \(0.314712\pi\) | |||||||
\(350\) | −11.2286 | −0.600192 | ||||||||
\(351\) | −75.4972 | −4.02974 | ||||||||
\(352\) | 2.72025 | 0.144990 | ||||||||
\(353\) | 13.9928 | 0.744759 | 0.372380 | − | 0.928080i | \(-0.378542\pi\) | ||||
0.372380 | + | 0.928080i | \(0.378542\pi\) | |||||||
\(354\) | 7.12442 | 0.378659 | ||||||||
\(355\) | 7.62328 | 0.404602 | ||||||||
\(356\) | −14.5057 | −0.768801 | ||||||||
\(357\) | 46.0581 | 2.43766 | ||||||||
\(358\) | −0.596979 | −0.0315513 | ||||||||
\(359\) | −10.9137 | −0.576002 | −0.288001 | − | 0.957630i | \(-0.592991\pi\) | ||||
−0.288001 | + | 0.957630i | \(0.592991\pi\) | |||||||
\(360\) | −5.20976 | −0.274579 | ||||||||
\(361\) | 1.27925 | 0.0673291 | ||||||||
\(362\) | 8.26363 | 0.434327 | ||||||||
\(363\) | −11.7993 | −0.619303 | ||||||||
\(364\) | 11.9980 | 0.628867 | ||||||||
\(365\) | −5.59608 | −0.292912 | ||||||||
\(366\) | 2.14660 | 0.112205 | ||||||||
\(367\) | 14.1246 | 0.737301 | 0.368650 | − | 0.929568i | \(-0.379820\pi\) | ||||
0.368650 | + | 0.929568i | \(0.379820\pi\) | |||||||
\(368\) | −1.00000 | −0.0521286 | ||||||||
\(369\) | −43.2673 | −2.25241 | ||||||||
\(370\) | −2.02314 | −0.105178 | ||||||||
\(371\) | −11.8377 | −0.614582 | ||||||||
\(372\) | 1.17720 | 0.0610350 | ||||||||
\(373\) | 15.7652 | 0.816289 | 0.408145 | − | 0.912917i | \(-0.366176\pi\) | ||||
0.408145 | + | 0.912917i | \(0.366176\pi\) | |||||||
\(374\) | −15.4809 | −0.800501 | ||||||||
\(375\) | −21.0575 | −1.08741 | ||||||||
\(376\) | −4.33998 | −0.223817 | ||||||||
\(377\) | 0.542479 | 0.0279391 | ||||||||
\(378\) | 38.3712 | 1.97360 | ||||||||
\(379\) | 14.5518 | 0.747476 | 0.373738 | − | 0.927534i | \(-0.378076\pi\) | ||||
0.373738 | + | 0.927534i | \(0.378076\pi\) | |||||||
\(380\) | 3.03065 | 0.155469 | ||||||||
\(381\) | 42.7099 | 2.18809 | ||||||||
\(382\) | −6.65464 | −0.340481 | ||||||||
\(383\) | 32.2612 | 1.64847 | 0.824234 | − | 0.566249i | \(-0.191606\pi\) | ||||
0.824234 | + | 0.566249i | \(0.191606\pi\) | |||||||
\(384\) | −3.27738 | −0.167248 | ||||||||
\(385\) | 4.52075 | 0.230399 | ||||||||
\(386\) | −0.746691 | −0.0380056 | ||||||||
\(387\) | −27.2911 | −1.38728 | ||||||||
\(388\) | −9.65785 | −0.490303 | ||||||||
\(389\) | 22.0284 | 1.11688 | 0.558442 | − | 0.829544i | \(-0.311399\pi\) | ||||
0.558442 | + | 0.829544i | \(0.311399\pi\) | |||||||
\(390\) | 10.7165 | 0.542652 | ||||||||
\(391\) | 5.69100 | 0.287806 | ||||||||
\(392\) | 0.902057 | 0.0455607 | ||||||||
\(393\) | −3.27738 | −0.165322 | ||||||||
\(394\) | 15.2183 | 0.766688 | ||||||||
\(395\) | −10.0900 | −0.507684 | ||||||||
\(396\) | −21.0580 | −1.05820 | ||||||||
\(397\) | −14.4906 | −0.727262 | −0.363631 | − | 0.931543i | \(-0.618463\pi\) | ||||
−0.363631 | + | 0.931543i | \(0.618463\pi\) | |||||||
\(398\) | 24.2595 | 1.21602 | ||||||||
\(399\) | −36.4455 | −1.82456 | ||||||||
\(400\) | −4.54708 | −0.227354 | ||||||||
\(401\) | 19.0287 | 0.950246 | 0.475123 | − | 0.879919i | \(-0.342404\pi\) | ||||
0.475123 | + | 0.879919i | \(0.342404\pi\) | |||||||
\(402\) | 3.22441 | 0.160819 | ||||||||
\(403\) | −1.74519 | −0.0869339 | ||||||||
\(404\) | −11.8330 | −0.588714 | ||||||||
\(405\) | 18.6435 | 0.926404 | ||||||||
\(406\) | −0.275713 | −0.0136834 | ||||||||
\(407\) | −8.17759 | −0.405348 | ||||||||
\(408\) | 18.6515 | 0.923389 | ||||||||
\(409\) | −5.15006 | −0.254654 | −0.127327 | − | 0.991861i | \(-0.540640\pi\) | ||||
−0.127327 | + | 0.991861i | \(0.540640\pi\) | |||||||
\(410\) | 3.76151 | 0.185768 | ||||||||
\(411\) | −9.51297 | −0.469240 | ||||||||
\(412\) | −0.537652 | −0.0264882 | ||||||||
\(413\) | 5.36803 | 0.264144 | ||||||||
\(414\) | 7.74119 | 0.380459 | ||||||||
\(415\) | 2.25512 | 0.110700 | ||||||||
\(416\) | 4.85867 | 0.238216 | ||||||||
\(417\) | 58.8436 | 2.88159 | ||||||||
\(418\) | 12.2500 | 0.599166 | ||||||||
\(419\) | 2.49870 | 0.122069 | 0.0610347 | − | 0.998136i | \(-0.480560\pi\) | ||||
0.0610347 | + | 0.998136i | \(0.480560\pi\) | |||||||
\(420\) | −5.44663 | −0.265768 | ||||||||
\(421\) | 11.4990 | 0.560429 | 0.280215 | − | 0.959937i | \(-0.409594\pi\) | ||||
0.280215 | + | 0.959937i | \(0.409594\pi\) | |||||||
\(422\) | 10.6607 | 0.518955 | ||||||||
\(423\) | 33.5966 | 1.63352 | ||||||||
\(424\) | −4.79375 | −0.232805 | ||||||||
\(425\) | 25.8774 | 1.25524 | ||||||||
\(426\) | −37.1243 | −1.79868 | ||||||||
\(427\) | 1.61740 | 0.0782714 | ||||||||
\(428\) | −13.4091 | −0.648153 | ||||||||
\(429\) | 43.3164 | 2.09134 | ||||||||
\(430\) | 2.37259 | 0.114417 | ||||||||
\(431\) | −10.0914 | −0.486087 | −0.243043 | − | 0.970015i | \(-0.578146\pi\) | ||||
−0.243043 | + | 0.970015i | \(0.578146\pi\) | |||||||
\(432\) | 15.5387 | 0.747604 | ||||||||
\(433\) | 0.00882162 | 0.000423940 0 | 0.000211970 | − | 1.00000i | \(-0.499933\pi\) | ||||
0.000211970 | 1.00000i | \(0.499933\pi\) | ||||||||
\(434\) | 0.886984 | 0.0425766 | ||||||||
\(435\) | −0.246265 | −0.0118075 | ||||||||
\(436\) | −14.8228 | −0.709886 | ||||||||
\(437\) | −4.50325 | −0.215420 | ||||||||
\(438\) | 27.2521 | 1.30216 | ||||||||
\(439\) | 6.07524 | 0.289956 | 0.144978 | − | 0.989435i | \(-0.453689\pi\) | ||||
0.144978 | + | 0.989435i | \(0.453689\pi\) | |||||||
\(440\) | 1.83071 | 0.0872756 | ||||||||
\(441\) | −6.98299 | −0.332523 | ||||||||
\(442\) | −27.6507 | −1.31521 | ||||||||
\(443\) | −4.58827 | −0.217995 | −0.108998 | − | 0.994042i | \(-0.534764\pi\) | ||||
−0.108998 | + | 0.994042i | \(0.534764\pi\) | |||||||
\(444\) | 9.85240 | 0.467574 | ||||||||
\(445\) | −9.76223 | −0.462774 | ||||||||
\(446\) | 24.3145 | 1.15132 | ||||||||
\(447\) | −18.8974 | −0.893817 | ||||||||
\(448\) | −2.46940 | −0.116668 | ||||||||
\(449\) | −26.4659 | −1.24900 | −0.624501 | − | 0.781024i | \(-0.714698\pi\) | ||||
−0.624501 | + | 0.781024i | \(0.714698\pi\) | |||||||
\(450\) | 35.1998 | 1.65933 | ||||||||
\(451\) | 15.2041 | 0.715934 | ||||||||
\(452\) | −0.929835 | −0.0437357 | ||||||||
\(453\) | 37.1802 | 1.74688 | ||||||||
\(454\) | 9.02089 | 0.423371 | ||||||||
\(455\) | 8.07457 | 0.378542 | ||||||||
\(456\) | −14.7588 | −0.691146 | ||||||||
\(457\) | 14.5427 | 0.680279 | 0.340140 | − | 0.940375i | \(-0.389526\pi\) | ||||
0.340140 | + | 0.940375i | \(0.389526\pi\) | |||||||
\(458\) | 7.30526 | 0.341352 | ||||||||
\(459\) | −88.4305 | −4.12758 | ||||||||
\(460\) | −0.672993 | −0.0313784 | ||||||||
\(461\) | 36.9130 | 1.71921 | 0.859604 | − | 0.510960i | \(-0.170710\pi\) | ||||
0.859604 | + | 0.510960i | \(0.170710\pi\) | |||||||
\(462\) | −22.0154 | −1.02425 | ||||||||
\(463\) | 27.8713 | 1.29529 | 0.647646 | − | 0.761942i | \(-0.275754\pi\) | ||||
0.647646 | + | 0.761942i | \(0.275754\pi\) | |||||||
\(464\) | −0.111652 | −0.00518330 | ||||||||
\(465\) | 0.792247 | 0.0367396 | ||||||||
\(466\) | 6.99032 | 0.323821 | ||||||||
\(467\) | 16.8556 | 0.779985 | 0.389993 | − | 0.920818i | \(-0.372478\pi\) | ||||
0.389993 | + | 0.920818i | \(0.372478\pi\) | |||||||
\(468\) | −37.6119 | −1.73861 | ||||||||
\(469\) | 2.42949 | 0.112184 | ||||||||
\(470\) | −2.92077 | −0.134725 | ||||||||
\(471\) | 20.3684 | 0.938528 | ||||||||
\(472\) | 2.17382 | 0.100058 | ||||||||
\(473\) | 9.59007 | 0.440952 | ||||||||
\(474\) | 49.1369 | 2.25693 | ||||||||
\(475\) | −20.4766 | −0.939533 | ||||||||
\(476\) | 14.0534 | 0.644135 | ||||||||
\(477\) | 37.1093 | 1.69912 | ||||||||
\(478\) | 15.1187 | 0.691514 | ||||||||
\(479\) | −18.3078 | −0.836507 | −0.418253 | − | 0.908330i | \(-0.637358\pi\) | ||||
−0.418253 | + | 0.908330i | \(0.637358\pi\) | |||||||
\(480\) | −2.20565 | −0.100674 | ||||||||
\(481\) | −14.6061 | −0.665980 | ||||||||
\(482\) | 14.3638 | 0.654251 | ||||||||
\(483\) | 8.09315 | 0.368251 | ||||||||
\(484\) | −3.60023 | −0.163647 | ||||||||
\(485\) | −6.49966 | −0.295134 | ||||||||
\(486\) | −44.1753 | −2.00383 | ||||||||
\(487\) | 39.1360 | 1.77342 | 0.886710 | − | 0.462326i | \(-0.152985\pi\) | ||||
0.886710 | + | 0.462326i | \(0.152985\pi\) | |||||||
\(488\) | 0.654976 | 0.0296494 | ||||||||
\(489\) | −22.5375 | −1.01918 | ||||||||
\(490\) | 0.607077 | 0.0274250 | ||||||||
\(491\) | 28.3155 | 1.27786 | 0.638930 | − | 0.769265i | \(-0.279377\pi\) | ||||
0.638930 | + | 0.769265i | \(0.279377\pi\) | |||||||
\(492\) | −18.3180 | −0.825840 | ||||||||
\(493\) | 0.635410 | 0.0286174 | ||||||||
\(494\) | 21.8798 | 0.984419 | ||||||||
\(495\) | −14.1719 | −0.636978 | ||||||||
\(496\) | 0.359190 | 0.0161281 | ||||||||
\(497\) | −27.9720 | −1.25472 | ||||||||
\(498\) | −10.9821 | −0.492120 | ||||||||
\(499\) | −16.3453 | −0.731716 | −0.365858 | − | 0.930671i | \(-0.619224\pi\) | ||||
−0.365858 | + | 0.930671i | \(0.619224\pi\) | |||||||
\(500\) | −6.42511 | −0.287340 | ||||||||
\(501\) | −15.0540 | −0.672565 | ||||||||
\(502\) | −9.79525 | −0.437184 | ||||||||
\(503\) | 31.2967 | 1.39545 | 0.697725 | − | 0.716366i | \(-0.254196\pi\) | ||||
0.697725 | + | 0.716366i | \(0.254196\pi\) | |||||||
\(504\) | 19.1161 | 0.851499 | ||||||||
\(505\) | −7.96352 | −0.354372 | ||||||||
\(506\) | −2.72025 | −0.120930 | ||||||||
\(507\) | 34.7621 | 1.54384 | ||||||||
\(508\) | 13.0317 | 0.578190 | ||||||||
\(509\) | −3.79992 | −0.168428 | −0.0842142 | − | 0.996448i | \(-0.526838\pi\) | ||||
−0.0842142 | + | 0.996448i | \(0.526838\pi\) | |||||||
\(510\) | 12.5523 | 0.555827 | ||||||||
\(511\) | 20.5336 | 0.908354 | ||||||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 69.9744 | 3.08945 | ||||||||
\(514\) | 7.41344 | 0.326993 | ||||||||
\(515\) | −0.361836 | −0.0159444 | ||||||||
\(516\) | −11.5542 | −0.508644 | ||||||||
\(517\) | −11.8058 | −0.519220 | ||||||||
\(518\) | 7.42348 | 0.326169 | ||||||||
\(519\) | 71.5471 | 3.14057 | ||||||||
\(520\) | 3.26985 | 0.143392 | ||||||||
\(521\) | −24.1039 | −1.05601 | −0.528005 | − | 0.849241i | \(-0.677060\pi\) | ||||
−0.528005 | + | 0.849241i | \(0.677060\pi\) | |||||||
\(522\) | 0.864317 | 0.0378301 | ||||||||
\(523\) | −17.6879 | −0.773438 | −0.386719 | − | 0.922198i | \(-0.626392\pi\) | ||||
−0.386719 | + | 0.922198i | \(0.626392\pi\) | |||||||
\(524\) | −1.00000 | −0.0436852 | ||||||||
\(525\) | 36.8002 | 1.60609 | ||||||||
\(526\) | −14.3565 | −0.625975 | ||||||||
\(527\) | −2.04415 | −0.0890445 | ||||||||
\(528\) | −8.91528 | −0.387988 | ||||||||
\(529\) | 1.00000 | 0.0434783 | ||||||||
\(530\) | −3.22616 | −0.140135 | ||||||||
\(531\) | −16.8279 | −0.730270 | ||||||||
\(532\) | −11.1203 | −0.482127 | ||||||||
\(533\) | 27.1562 | 1.17627 | ||||||||
\(534\) | 47.5406 | 2.05728 | ||||||||
\(535\) | −9.02422 | −0.390151 | ||||||||
\(536\) | 0.983839 | 0.0424954 | ||||||||
\(537\) | 1.95652 | 0.0844302 | ||||||||
\(538\) | −23.3541 | −1.00687 | ||||||||
\(539\) | 2.45382 | 0.105694 | ||||||||
\(540\) | 10.4574 | 0.450015 | ||||||||
\(541\) | −29.3569 | −1.26215 | −0.631077 | − | 0.775721i | \(-0.717387\pi\) | ||||
−0.631077 | + | 0.775721i | \(0.717387\pi\) | |||||||
\(542\) | 17.3327 | 0.744501 | ||||||||
\(543\) | −27.0830 | −1.16224 | ||||||||
\(544\) | 5.69100 | 0.244000 | ||||||||
\(545\) | −9.97567 | −0.427311 | ||||||||
\(546\) | −39.3220 | −1.68283 | ||||||||
\(547\) | −12.4978 | −0.534365 | −0.267183 | − | 0.963646i | \(-0.586093\pi\) | ||||
−0.267183 | + | 0.963646i | \(0.586093\pi\) | |||||||
\(548\) | −2.90262 | −0.123994 | ||||||||
\(549\) | −5.07029 | −0.216395 | ||||||||
\(550\) | −12.3692 | −0.527425 | ||||||||
\(551\) | −0.502796 | −0.0214198 | ||||||||
\(552\) | 3.27738 | 0.139494 | ||||||||
\(553\) | 37.0232 | 1.57439 | ||||||||
\(554\) | −26.1333 | −1.11030 | ||||||||
\(555\) | 6.63059 | 0.281453 | ||||||||
\(556\) | 17.9545 | 0.761441 | ||||||||
\(557\) | 21.0701 | 0.892770 | 0.446385 | − | 0.894841i | \(-0.352711\pi\) | ||||
0.446385 | + | 0.894841i | \(0.352711\pi\) | |||||||
\(558\) | −2.78056 | −0.117710 | ||||||||
\(559\) | 17.1289 | 0.724477 | ||||||||
\(560\) | −1.66189 | −0.0702276 | ||||||||
\(561\) | 50.7369 | 2.14211 | ||||||||
\(562\) | 17.6203 | 0.743267 | ||||||||
\(563\) | −7.06310 | −0.297674 | −0.148837 | − | 0.988862i | \(-0.547553\pi\) | ||||
−0.148837 | + | 0.988862i | \(0.547553\pi\) | |||||||
\(564\) | 14.2237 | 0.598928 | ||||||||
\(565\) | −0.625772 | −0.0263264 | ||||||||
\(566\) | −17.5816 | −0.739010 | ||||||||
\(567\) | −68.4084 | −2.87288 | ||||||||
\(568\) | −11.3274 | −0.475289 | ||||||||
\(569\) | 8.74373 | 0.366556 | 0.183278 | − | 0.983061i | \(-0.441329\pi\) | ||||
0.183278 | + | 0.983061i | \(0.441329\pi\) | |||||||
\(570\) | −9.93259 | −0.416030 | ||||||||
\(571\) | 16.3004 | 0.682150 | 0.341075 | − | 0.940036i | \(-0.389209\pi\) | ||||
0.341075 | + | 0.940036i | \(0.389209\pi\) | |||||||
\(572\) | 13.2168 | 0.552622 | ||||||||
\(573\) | 21.8098 | 0.911116 | ||||||||
\(574\) | −13.8021 | −0.576087 | ||||||||
\(575\) | 4.54708 | 0.189626 | ||||||||
\(576\) | 7.74119 | 0.322550 | ||||||||
\(577\) | 9.42179 | 0.392234 | 0.196117 | − | 0.980580i | \(-0.437167\pi\) | ||||
0.196117 | + | 0.980580i | \(0.437167\pi\) | |||||||
\(578\) | −15.3875 | −0.640035 | ||||||||
\(579\) | 2.44719 | 0.101702 | ||||||||
\(580\) | −0.0751408 | −0.00312005 | ||||||||
\(581\) | −8.27469 | −0.343292 | ||||||||
\(582\) | 31.6524 | 1.31203 | ||||||||
\(583\) | −13.0402 | −0.540070 | ||||||||
\(584\) | 8.31522 | 0.344086 | ||||||||
\(585\) | −25.3125 | −1.04654 | ||||||||
\(586\) | −19.9662 | −0.824797 | ||||||||
\(587\) | 9.10497 | 0.375802 | 0.187901 | − | 0.982188i | \(-0.439832\pi\) | ||||
0.187901 | + | 0.982188i | \(0.439832\pi\) | |||||||
\(588\) | −2.95638 | −0.121919 | ||||||||
\(589\) | 1.61752 | 0.0666488 | ||||||||
\(590\) | 1.46296 | 0.0602293 | ||||||||
\(591\) | −49.8762 | −2.05163 | ||||||||
\(592\) | 3.00619 | 0.123554 | ||||||||
\(593\) | 16.0222 | 0.657954 | 0.328977 | − | 0.944338i | \(-0.393296\pi\) | ||||
0.328977 | + | 0.944338i | \(0.393296\pi\) | |||||||
\(594\) | 42.2690 | 1.73432 | ||||||||
\(595\) | 9.45781 | 0.387732 | ||||||||
\(596\) | −5.76602 | −0.236185 | ||||||||
\(597\) | −79.5075 | −3.25403 | ||||||||
\(598\) | −4.85867 | −0.198686 | ||||||||
\(599\) | 32.0481 | 1.30945 | 0.654725 | − | 0.755868i | \(-0.272785\pi\) | ||||
0.654725 | + | 0.755868i | \(0.272785\pi\) | |||||||
\(600\) | 14.9025 | 0.608392 | ||||||||
\(601\) | −12.3117 | −0.502203 | −0.251102 | − | 0.967961i | \(-0.580793\pi\) | ||||
−0.251102 | + | 0.967961i | \(0.580793\pi\) | |||||||
\(602\) | −8.70572 | −0.354818 | ||||||||
\(603\) | −7.61608 | −0.310151 | ||||||||
\(604\) | 11.3445 | 0.461601 | ||||||||
\(605\) | −2.42293 | −0.0985061 | ||||||||
\(606\) | 38.7812 | 1.57538 | ||||||||
\(607\) | 4.28885 | 0.174079 | 0.0870395 | − | 0.996205i | \(-0.472259\pi\) | ||||
0.0870395 | + | 0.996205i | \(0.472259\pi\) | |||||||
\(608\) | −4.50325 | −0.182631 | ||||||||
\(609\) | 0.903615 | 0.0366163 | ||||||||
\(610\) | 0.440794 | 0.0178472 | ||||||||
\(611\) | −21.0865 | −0.853070 | ||||||||
\(612\) | −44.0551 | −1.78082 | ||||||||
\(613\) | −20.7929 | −0.839816 | −0.419908 | − | 0.907567i | \(-0.637938\pi\) | ||||
−0.419908 | + | 0.907567i | \(0.637938\pi\) | |||||||
\(614\) | −30.0142 | −1.21128 | ||||||||
\(615\) | −12.3279 | −0.497108 | ||||||||
\(616\) | −6.71739 | −0.270651 | ||||||||
\(617\) | −23.9447 | −0.963978 | −0.481989 | − | 0.876177i | \(-0.660085\pi\) | ||||
−0.481989 | + | 0.876177i | \(0.660085\pi\) | |||||||
\(618\) | 1.76209 | 0.0708816 | ||||||||
\(619\) | −37.0862 | −1.49062 | −0.745310 | − | 0.666718i | \(-0.767698\pi\) | ||||
−0.745310 | + | 0.666718i | \(0.767698\pi\) | |||||||
\(620\) | 0.241732 | 0.00970819 | ||||||||
\(621\) | −15.5387 | −0.623545 | ||||||||
\(622\) | 6.98218 | 0.279960 | ||||||||
\(623\) | 35.8204 | 1.43511 | ||||||||
\(624\) | −15.9237 | −0.637458 | ||||||||
\(625\) | 18.4114 | 0.736454 | ||||||||
\(626\) | −9.82075 | −0.392516 | ||||||||
\(627\) | −40.1477 | −1.60335 | ||||||||
\(628\) | 6.21486 | 0.248000 | ||||||||
\(629\) | −17.1082 | −0.682149 | ||||||||
\(630\) | 12.8650 | 0.512554 | ||||||||
\(631\) | −42.7507 | −1.70188 | −0.850940 | − | 0.525263i | \(-0.823967\pi\) | ||||
−0.850940 | + | 0.525263i | \(0.823967\pi\) | |||||||
\(632\) | 14.9928 | 0.596381 | ||||||||
\(633\) | −34.9391 | −1.38871 | ||||||||
\(634\) | −8.47516 | −0.336592 | ||||||||
\(635\) | 8.77026 | 0.348037 | ||||||||
\(636\) | 15.7109 | 0.622978 | ||||||||
\(637\) | 4.38280 | 0.173653 | ||||||||
\(638\) | −0.303721 | −0.0120244 | ||||||||
\(639\) | 87.6878 | 3.46888 | ||||||||
\(640\) | −0.672993 | −0.0266024 | ||||||||
\(641\) | 12.4701 | 0.492538 | 0.246269 | − | 0.969202i | \(-0.420795\pi\) | ||||
0.246269 | + | 0.969202i | \(0.420795\pi\) | |||||||
\(642\) | 43.9466 | 1.73444 | ||||||||
\(643\) | −32.7766 | −1.29258 | −0.646292 | − | 0.763090i | \(-0.723681\pi\) | ||||
−0.646292 | + | 0.763090i | \(0.723681\pi\) | |||||||
\(644\) | 2.46940 | 0.0973080 | ||||||||
\(645\) | −7.77587 | −0.306175 | ||||||||
\(646\) | 25.6280 | 1.00832 | ||||||||
\(647\) | −8.36783 | −0.328973 | −0.164487 | − | 0.986379i | \(-0.552597\pi\) | ||||
−0.164487 | + | 0.986379i | \(0.552597\pi\) | |||||||
\(648\) | −27.7024 | −1.08825 | ||||||||
\(649\) | 5.91333 | 0.232119 | ||||||||
\(650\) | −22.0928 | −0.866550 | ||||||||
\(651\) | −2.90698 | −0.113933 | ||||||||
\(652\) | −6.87668 | −0.269312 | ||||||||
\(653\) | 38.4140 | 1.50326 | 0.751629 | − | 0.659586i | \(-0.229268\pi\) | ||||
0.751629 | + | 0.659586i | \(0.229268\pi\) | |||||||
\(654\) | 48.5800 | 1.89963 | ||||||||
\(655\) | −0.672993 | −0.0262960 | ||||||||
\(656\) | −5.58923 | −0.218223 | ||||||||
\(657\) | −64.3697 | −2.51130 | ||||||||
\(658\) | 10.7172 | 0.417798 | ||||||||
\(659\) | −9.08750 | −0.353999 | −0.176999 | − | 0.984211i | \(-0.556639\pi\) | ||||
−0.176999 | + | 0.984211i | \(0.556639\pi\) | |||||||
\(660\) | −5.99992 | −0.233547 | ||||||||
\(661\) | 24.1992 | 0.941239 | 0.470619 | − | 0.882336i | \(-0.344031\pi\) | ||||
0.470619 | + | 0.882336i | \(0.344031\pi\) | |||||||
\(662\) | 16.9272 | 0.657894 | ||||||||
\(663\) | 90.6217 | 3.51946 | ||||||||
\(664\) | −3.35089 | −0.130040 | ||||||||
\(665\) | −7.48390 | −0.290213 | ||||||||
\(666\) | −23.2715 | −0.901751 | ||||||||
\(667\) | 0.111652 | 0.00432317 | ||||||||
\(668\) | −4.59332 | −0.177721 | ||||||||
\(669\) | −79.6877 | −3.08091 | ||||||||
\(670\) | 0.662116 | 0.0255798 | ||||||||
\(671\) | 1.78170 | 0.0687818 | ||||||||
\(672\) | 8.09315 | 0.312200 | ||||||||
\(673\) | 10.5822 | 0.407913 | 0.203956 | − | 0.978980i | \(-0.434620\pi\) | ||||
0.203956 | + | 0.978980i | \(0.434620\pi\) | |||||||
\(674\) | −19.0862 | −0.735171 | ||||||||
\(675\) | −70.6555 | −2.71953 | ||||||||
\(676\) | 10.6067 | 0.407950 | ||||||||
\(677\) | 16.8689 | 0.648323 | 0.324162 | − | 0.946002i | \(-0.394918\pi\) | ||||
0.324162 | + | 0.946002i | \(0.394918\pi\) | |||||||
\(678\) | 3.04742 | 0.117035 | ||||||||
\(679\) | 23.8491 | 0.915244 | ||||||||
\(680\) | 3.83000 | 0.146874 | ||||||||
\(681\) | −29.5648 | −1.13293 | ||||||||
\(682\) | 0.977087 | 0.0374146 | ||||||||
\(683\) | 31.7281 | 1.21404 | 0.607021 | − | 0.794685i | \(-0.292364\pi\) | ||||
0.607021 | + | 0.794685i | \(0.292364\pi\) | |||||||
\(684\) | 34.8605 | 1.33292 | ||||||||
\(685\) | −1.95344 | −0.0746371 | ||||||||
\(686\) | −19.5133 | −0.745023 | ||||||||
\(687\) | −23.9421 | −0.913447 | ||||||||
\(688\) | −3.52544 | −0.134406 | ||||||||
\(689\) | −23.2912 | −0.887326 | ||||||||
\(690\) | 2.20565 | 0.0839676 | ||||||||
\(691\) | 48.5547 | 1.84711 | 0.923554 | − | 0.383468i | \(-0.125270\pi\) | ||||
0.923554 | + | 0.383468i | \(0.125270\pi\) | |||||||
\(692\) | 21.8306 | 0.829875 | ||||||||
\(693\) | 52.0006 | 1.97534 | ||||||||
\(694\) | −3.48175 | −0.132165 | ||||||||
\(695\) | 12.0832 | 0.458344 | ||||||||
\(696\) | 0.365925 | 0.0138703 | ||||||||
\(697\) | 31.8083 | 1.20483 | ||||||||
\(698\) | −20.5414 | −0.777504 | ||||||||
\(699\) | −22.9099 | −0.866533 | ||||||||
\(700\) | 11.2286 | 0.424400 | ||||||||
\(701\) | 6.67303 | 0.252037 | 0.126018 | − | 0.992028i | \(-0.459780\pi\) | ||||
0.126018 | + | 0.992028i | \(0.459780\pi\) | |||||||
\(702\) | 75.4972 | 2.84946 | ||||||||
\(703\) | 13.5376 | 0.510581 | ||||||||
\(704\) | −2.72025 | −0.102523 | ||||||||
\(705\) | 9.57248 | 0.360520 | ||||||||
\(706\) | −13.9928 | −0.526624 | ||||||||
\(707\) | 29.2204 | 1.09895 | ||||||||
\(708\) | −7.12442 | −0.267752 | ||||||||
\(709\) | −40.6096 | −1.52512 | −0.762562 | − | 0.646915i | \(-0.776059\pi\) | ||||
−0.762562 | + | 0.646915i | \(0.776059\pi\) | |||||||
\(710\) | −7.62328 | −0.286097 | ||||||||
\(711\) | −116.062 | −4.35266 | ||||||||
\(712\) | 14.5057 | 0.543624 | ||||||||
\(713\) | −0.359190 | −0.0134518 | ||||||||
\(714\) | −46.0581 | −1.72368 | ||||||||
\(715\) | 8.89481 | 0.332647 | ||||||||
\(716\) | 0.596979 | 0.0223102 | ||||||||
\(717\) | −49.5497 | −1.85047 | ||||||||
\(718\) | 10.9137 | 0.407295 | ||||||||
\(719\) | −27.8501 | −1.03863 | −0.519316 | − | 0.854582i | \(-0.673813\pi\) | ||||
−0.519316 | + | 0.854582i | \(0.673813\pi\) | |||||||
\(720\) | 5.20976 | 0.194156 | ||||||||
\(721\) | 1.32768 | 0.0494453 | ||||||||
\(722\) | −1.27925 | −0.0476088 | ||||||||
\(723\) | −47.0754 | −1.75075 | ||||||||
\(724\) | −8.26363 | −0.307115 | ||||||||
\(725\) | 0.507690 | 0.0188551 | ||||||||
\(726\) | 11.7993 | 0.437914 | ||||||||
\(727\) | −42.2871 | −1.56834 | −0.784171 | − | 0.620545i | \(-0.786911\pi\) | ||||
−0.784171 | + | 0.620545i | \(0.786911\pi\) | |||||||
\(728\) | −11.9980 | −0.444676 | ||||||||
\(729\) | 61.6717 | 2.28414 | ||||||||
\(730\) | 5.59608 | 0.207120 | ||||||||
\(731\) | 20.0633 | 0.742066 | ||||||||
\(732\) | −2.14660 | −0.0793407 | ||||||||
\(733\) | −8.61628 | −0.318250 | −0.159125 | − | 0.987258i | \(-0.550867\pi\) | ||||
−0.159125 | + | 0.987258i | \(0.550867\pi\) | |||||||
\(734\) | −14.1246 | −0.521350 | ||||||||
\(735\) | −1.98962 | −0.0733883 | ||||||||
\(736\) | 1.00000 | 0.0368605 | ||||||||
\(737\) | 2.67629 | 0.0985823 | ||||||||
\(738\) | 43.2673 | 1.59269 | ||||||||
\(739\) | −24.5546 | −0.903257 | −0.451629 | − | 0.892206i | \(-0.649157\pi\) | ||||
−0.451629 | + | 0.892206i | \(0.649157\pi\) | |||||||
\(740\) | 2.02314 | 0.0743722 | ||||||||
\(741\) | −71.7083 | −2.63427 | ||||||||
\(742\) | 11.8377 | 0.434575 | ||||||||
\(743\) | 15.6730 | 0.574988 | 0.287494 | − | 0.957783i | \(-0.407178\pi\) | ||||
0.287494 | + | 0.957783i | \(0.407178\pi\) | |||||||
\(744\) | −1.17720 | −0.0431582 | ||||||||
\(745\) | −3.88049 | −0.142170 | ||||||||
\(746\) | −15.7652 | −0.577204 | ||||||||
\(747\) | 25.9399 | 0.949090 | ||||||||
\(748\) | 15.4809 | 0.566040 | ||||||||
\(749\) | 33.1124 | 1.20990 | ||||||||
\(750\) | 21.0575 | 0.768912 | ||||||||
\(751\) | −34.9767 | −1.27632 | −0.638160 | − | 0.769904i | \(-0.720304\pi\) | ||||
−0.638160 | + | 0.769904i | \(0.720304\pi\) | |||||||
\(752\) | 4.33998 | 0.158263 | ||||||||
\(753\) | 32.1027 | 1.16989 | ||||||||
\(754\) | −0.542479 | −0.0197559 | ||||||||
\(755\) | 7.63477 | 0.277858 | ||||||||
\(756\) | −38.3712 | −1.39555 | ||||||||
\(757\) | −34.8799 | −1.26773 | −0.633866 | − | 0.773443i | \(-0.718533\pi\) | ||||
−0.633866 | + | 0.773443i | \(0.718533\pi\) | |||||||
\(758\) | −14.5518 | −0.528545 | ||||||||
\(759\) | 8.91528 | 0.323604 | ||||||||
\(760\) | −3.03065 | −0.109933 | ||||||||
\(761\) | −45.3665 | −1.64453 | −0.822267 | − | 0.569102i | \(-0.807291\pi\) | ||||
−0.822267 | + | 0.569102i | \(0.807291\pi\) | |||||||
\(762\) | −42.7099 | −1.54722 | ||||||||
\(763\) | 36.6036 | 1.32514 | ||||||||
\(764\) | 6.65464 | 0.240757 | ||||||||
\(765\) | −29.6488 | −1.07195 | ||||||||
\(766\) | −32.2612 | −1.16564 | ||||||||
\(767\) | 10.5619 | 0.381367 | ||||||||
\(768\) | 3.27738 | 0.118262 | ||||||||
\(769\) | −39.4821 | −1.42376 | −0.711881 | − | 0.702300i | \(-0.752156\pi\) | ||||
−0.711881 | + | 0.702300i | \(0.752156\pi\) | |||||||
\(770\) | −4.52075 | −0.162917 | ||||||||
\(771\) | −24.2966 | −0.875022 | ||||||||
\(772\) | 0.746691 | 0.0268740 | ||||||||
\(773\) | 4.57562 | 0.164574 | 0.0822868 | − | 0.996609i | \(-0.473778\pi\) | ||||
0.0822868 | + | 0.996609i | \(0.473778\pi\) | |||||||
\(774\) | 27.2911 | 0.980957 | ||||||||
\(775\) | −1.63327 | −0.0586686 | ||||||||
\(776\) | 9.65785 | 0.346696 | ||||||||
\(777\) | −24.3295 | −0.872817 | ||||||||
\(778\) | −22.0284 | −0.789756 | ||||||||
\(779\) | −25.1697 | −0.901798 | ||||||||
\(780\) | −10.7165 | −0.383713 | ||||||||
\(781\) | −30.8135 | −1.10259 | ||||||||
\(782\) | −5.69100 | −0.203510 | ||||||||
\(783\) | −1.73492 | −0.0620009 | ||||||||
\(784\) | −0.902057 | −0.0322163 | ||||||||
\(785\) | 4.18256 | 0.149282 | ||||||||
\(786\) | 3.27738 | 0.116900 | ||||||||
\(787\) | −41.4280 | −1.47675 | −0.738375 | − | 0.674390i | \(-0.764406\pi\) | ||||
−0.738375 | + | 0.674390i | \(0.764406\pi\) | |||||||
\(788\) | −15.2183 | −0.542130 | ||||||||
\(789\) | 47.0518 | 1.67509 | ||||||||
\(790\) | 10.0900 | 0.358987 | ||||||||
\(791\) | 2.29613 | 0.0816412 | ||||||||
\(792\) | 21.0580 | 0.748263 | ||||||||
\(793\) | 3.18231 | 0.113007 | ||||||||
\(794\) | 14.4906 | 0.514252 | ||||||||
\(795\) | 10.5733 | 0.374997 | ||||||||
\(796\) | −24.2595 | −0.859856 | ||||||||
\(797\) | 5.52648 | 0.195758 | 0.0978790 | − | 0.995198i | \(-0.468794\pi\) | ||||
0.0978790 | + | 0.995198i | \(0.468794\pi\) | |||||||
\(798\) | 36.4455 | 1.29016 | ||||||||
\(799\) | −24.6988 | −0.873782 | ||||||||
\(800\) | 4.54708 | 0.160764 | ||||||||
\(801\) | −112.291 | −3.96762 | ||||||||
\(802\) | −19.0287 | −0.671925 | ||||||||
\(803\) | 22.6195 | 0.798224 | ||||||||
\(804\) | −3.22441 | −0.113716 | ||||||||
\(805\) | 1.66189 | 0.0585739 | ||||||||
\(806\) | 1.74519 | 0.0614715 | ||||||||
\(807\) | 76.5403 | 2.69435 | ||||||||
\(808\) | 11.8330 | 0.416284 | ||||||||
\(809\) | −19.7025 | −0.692703 | −0.346352 | − | 0.938105i | \(-0.612580\pi\) | ||||
−0.346352 | + | 0.938105i | \(0.612580\pi\) | |||||||
\(810\) | −18.6435 | −0.655067 | ||||||||
\(811\) | −1.43028 | −0.0502238 | −0.0251119 | − | 0.999685i | \(-0.507994\pi\) | ||||
−0.0251119 | + | 0.999685i | \(0.507994\pi\) | |||||||
\(812\) | 0.275713 | 0.00967563 | ||||||||
\(813\) | −56.8056 | −1.99226 | ||||||||
\(814\) | 8.17759 | 0.286624 | ||||||||
\(815\) | −4.62796 | −0.162110 | ||||||||
\(816\) | −18.6515 | −0.652935 | ||||||||
\(817\) | −15.8759 | −0.555428 | ||||||||
\(818\) | 5.15006 | 0.180068 | ||||||||
\(819\) | 92.8789 | 3.24545 | ||||||||
\(820\) | −3.76151 | −0.131358 | ||||||||
\(821\) | 31.1573 | 1.08740 | 0.543698 | − | 0.839281i | \(-0.317024\pi\) | ||||
0.543698 | + | 0.839281i | \(0.317024\pi\) | |||||||
\(822\) | 9.51297 | 0.331803 | ||||||||
\(823\) | 36.2094 | 1.26218 | 0.631091 | − | 0.775709i | \(-0.282608\pi\) | ||||
0.631091 | + | 0.775709i | \(0.282608\pi\) | |||||||
\(824\) | 0.537652 | 0.0187300 | ||||||||
\(825\) | 40.5385 | 1.41137 | ||||||||
\(826\) | −5.36803 | −0.186778 | ||||||||
\(827\) | −7.98323 | −0.277604 | −0.138802 | − | 0.990320i | \(-0.544325\pi\) | ||||
−0.138802 | + | 0.990320i | \(0.544325\pi\) | |||||||
\(828\) | −7.74119 | −0.269025 | ||||||||
\(829\) | −13.6966 | −0.475704 | −0.237852 | − | 0.971301i | \(-0.576443\pi\) | ||||
−0.237852 | + | 0.971301i | \(0.576443\pi\) | |||||||
\(830\) | −2.25512 | −0.0782764 | ||||||||
\(831\) | 85.6487 | 2.97112 | ||||||||
\(832\) | −4.85867 | −0.168444 | ||||||||
\(833\) | 5.13360 | 0.177869 | ||||||||
\(834\) | −58.8436 | −2.03759 | ||||||||
\(835\) | −3.09127 | −0.106978 | ||||||||
\(836\) | −12.2500 | −0.423674 | ||||||||
\(837\) | 5.58133 | 0.192919 | ||||||||
\(838\) | −2.49870 | −0.0863161 | ||||||||
\(839\) | 23.4688 | 0.810232 | 0.405116 | − | 0.914265i | \(-0.367231\pi\) | ||||
0.405116 | + | 0.914265i | \(0.367231\pi\) | |||||||
\(840\) | 5.44663 | 0.187927 | ||||||||
\(841\) | −28.9875 | −0.999570 | ||||||||
\(842\) | −11.4990 | −0.396283 | ||||||||
\(843\) | −57.7483 | −1.98896 | ||||||||
\(844\) | −10.6607 | −0.366957 | ||||||||
\(845\) | 7.13822 | 0.245562 | ||||||||
\(846\) | −33.5966 | −1.15508 | ||||||||
\(847\) | 8.89042 | 0.305478 | ||||||||
\(848\) | 4.79375 | 0.164618 | ||||||||
\(849\) | 57.6215 | 1.97757 | ||||||||
\(850\) | −25.8774 | −0.887589 | ||||||||
\(851\) | −3.00619 | −0.103051 | ||||||||
\(852\) | 37.1243 | 1.27186 | ||||||||
\(853\) | 6.32032 | 0.216404 | 0.108202 | − | 0.994129i | \(-0.465491\pi\) | ||||
0.108202 | + | 0.994129i | \(0.465491\pi\) | |||||||
\(854\) | −1.61740 | −0.0553463 | ||||||||
\(855\) | 23.4609 | 0.802344 | ||||||||
\(856\) | 13.4091 | 0.458313 | ||||||||
\(857\) | 36.3089 | 1.24029 | 0.620145 | − | 0.784488i | \(-0.287074\pi\) | ||||
0.620145 | + | 0.784488i | \(0.287074\pi\) | |||||||
\(858\) | −43.3164 | −1.47880 | ||||||||
\(859\) | −33.2645 | −1.13497 | −0.567484 | − | 0.823384i | \(-0.692083\pi\) | ||||
−0.567484 | + | 0.823384i | \(0.692083\pi\) | |||||||
\(860\) | −2.37259 | −0.0809047 | ||||||||
\(861\) | 45.2345 | 1.54159 | ||||||||
\(862\) | 10.0914 | 0.343715 | ||||||||
\(863\) | −29.1074 | −0.990826 | −0.495413 | − | 0.868658i | \(-0.664983\pi\) | ||||
−0.495413 | + | 0.868658i | \(0.664983\pi\) | |||||||
\(864\) | −15.5387 | −0.528636 | ||||||||
\(865\) | 14.6918 | 0.499537 | ||||||||
\(866\) | −0.00882162 | −0.000299771 0 | ||||||||
\(867\) | 50.4305 | 1.71271 | ||||||||
\(868\) | −0.886984 | −0.0301062 | ||||||||
\(869\) | 40.7841 | 1.38351 | ||||||||
\(870\) | 0.246265 | 0.00834915 | ||||||||
\(871\) | 4.78015 | 0.161969 | ||||||||
\(872\) | 14.8228 | 0.501965 | ||||||||
\(873\) | −74.7632 | −2.53035 | ||||||||
\(874\) | 4.50325 | 0.152325 | ||||||||
\(875\) | 15.8662 | 0.536375 | ||||||||
\(876\) | −27.2521 | −0.920763 | ||||||||
\(877\) | 46.6843 | 1.57642 | 0.788208 | − | 0.615409i | \(-0.211009\pi\) | ||||
0.788208 | + | 0.615409i | \(0.211009\pi\) | |||||||
\(878\) | −6.07524 | −0.205030 | ||||||||
\(879\) | 65.4368 | 2.20713 | ||||||||
\(880\) | −1.83071 | −0.0617132 | ||||||||
\(881\) | −4.70238 | −0.158427 | −0.0792135 | − | 0.996858i | \(-0.525241\pi\) | ||||
−0.0792135 | + | 0.996858i | \(0.525241\pi\) | |||||||
\(882\) | 6.98299 | 0.235130 | ||||||||
\(883\) | 41.1212 | 1.38384 | 0.691919 | − | 0.721975i | \(-0.256766\pi\) | ||||
0.691919 | + | 0.721975i | \(0.256766\pi\) | |||||||
\(884\) | 27.6507 | 0.929994 | ||||||||
\(885\) | −4.79468 | −0.161171 | ||||||||
\(886\) | 4.58827 | 0.154146 | ||||||||
\(887\) | 2.54416 | 0.0854245 | 0.0427122 | − | 0.999087i | \(-0.486400\pi\) | ||||
0.0427122 | + | 0.999087i | \(0.486400\pi\) | |||||||
\(888\) | −9.85240 | −0.330625 | ||||||||
\(889\) | −32.1806 | −1.07930 | ||||||||
\(890\) | 9.76223 | 0.327231 | ||||||||
\(891\) | −75.3576 | −2.52457 | ||||||||
\(892\) | −24.3145 | −0.814110 | ||||||||
\(893\) | 19.5440 | 0.654016 | ||||||||
\(894\) | 18.8974 | 0.632024 | ||||||||
\(895\) | 0.401762 | 0.0134294 | ||||||||
\(896\) | 2.46940 | 0.0824969 | ||||||||
\(897\) | 15.9237 | 0.531677 | ||||||||
\(898\) | 26.4659 | 0.883178 | ||||||||
\(899\) | −0.0401042 | −0.00133755 | ||||||||
\(900\) | −35.1998 | −1.17333 | ||||||||
\(901\) | −27.2812 | −0.908869 | ||||||||
\(902\) | −15.2041 | −0.506242 | ||||||||
\(903\) | 28.5319 | 0.949482 | ||||||||
\(904\) | 0.929835 | 0.0309258 | ||||||||
\(905\) | −5.56136 | −0.184866 | ||||||||
\(906\) | −37.1802 | −1.23523 | ||||||||
\(907\) | −34.8929 | −1.15860 | −0.579301 | − | 0.815114i | \(-0.696674\pi\) | ||||
−0.579301 | + | 0.815114i | \(0.696674\pi\) | |||||||
\(908\) | −9.02089 | −0.299369 | ||||||||
\(909\) | −91.6015 | −3.03823 | ||||||||
\(910\) | −8.07457 | −0.267669 | ||||||||
\(911\) | 33.6596 | 1.11519 | 0.557597 | − | 0.830112i | \(-0.311724\pi\) | ||||
0.557597 | + | 0.830112i | \(0.311724\pi\) | |||||||
\(912\) | 14.7588 | 0.488714 | ||||||||
\(913\) | −9.11526 | −0.301671 | ||||||||
\(914\) | −14.5427 | −0.481030 | ||||||||
\(915\) | −1.44465 | −0.0477586 | ||||||||
\(916\) | −7.30526 | −0.241373 | ||||||||
\(917\) | 2.46940 | 0.0815468 | ||||||||
\(918\) | 88.4305 | 2.91864 | ||||||||
\(919\) | 10.1870 | 0.336039 | 0.168020 | − | 0.985784i | \(-0.446263\pi\) | ||||
0.168020 | + | 0.985784i | \(0.446263\pi\) | |||||||
\(920\) | 0.672993 | 0.0221879 | ||||||||
\(921\) | 98.3679 | 3.24133 | ||||||||
\(922\) | −36.9130 | −1.21566 | ||||||||
\(923\) | −55.0363 | −1.81154 | ||||||||
\(924\) | 22.0154 | 0.724254 | ||||||||
\(925\) | −13.6694 | −0.449446 | ||||||||
\(926\) | −27.8713 | −0.915909 | ||||||||
\(927\) | −4.16207 | −0.136700 | ||||||||
\(928\) | 0.111652 | 0.00366515 | ||||||||
\(929\) | 49.2609 | 1.61620 | 0.808100 | − | 0.589046i | \(-0.200496\pi\) | ||||
0.808100 | + | 0.589046i | \(0.200496\pi\) | |||||||
\(930\) | −0.792247 | −0.0259788 | ||||||||
\(931\) | −4.06219 | −0.133133 | ||||||||
\(932\) | −6.99032 | −0.228976 | ||||||||
\(933\) | −22.8832 | −0.749163 | ||||||||
\(934\) | −16.8556 | −0.551533 | ||||||||
\(935\) | 10.4186 | 0.340723 | ||||||||
\(936\) | 37.6119 | 1.22938 | ||||||||
\(937\) | 18.8856 | 0.616967 | 0.308483 | − | 0.951230i | \(-0.400179\pi\) | ||||
0.308483 | + | 0.951230i | \(0.400179\pi\) | |||||||
\(938\) | −2.42949 | −0.0793257 | ||||||||
\(939\) | 32.1863 | 1.05036 | ||||||||
\(940\) | 2.92077 | 0.0952652 | ||||||||
\(941\) | −7.55427 | −0.246262 | −0.123131 | − | 0.992390i | \(-0.539294\pi\) | ||||
−0.123131 | + | 0.992390i | \(0.539294\pi\) | |||||||
\(942\) | −20.3684 | −0.663640 | ||||||||
\(943\) | 5.58923 | 0.182010 | ||||||||
\(944\) | −2.17382 | −0.0707518 | ||||||||
\(945\) | −25.8235 | −0.840039 | ||||||||
\(946\) | −9.59007 | −0.311800 | ||||||||
\(947\) | −60.5605 | −1.96795 | −0.983977 | − | 0.178298i | \(-0.942941\pi\) | ||||
−0.983977 | + | 0.178298i | \(0.942941\pi\) | |||||||
\(948\) | −49.1369 | −1.59589 | ||||||||
\(949\) | 40.4009 | 1.31147 | ||||||||
\(950\) | 20.4766 | 0.664350 | ||||||||
\(951\) | 27.7763 | 0.900707 | ||||||||
\(952\) | −14.0534 | −0.455472 | ||||||||
\(953\) | −45.1368 | −1.46212 | −0.731062 | − | 0.682311i | \(-0.760975\pi\) | ||||
−0.731062 | + | 0.682311i | \(0.760975\pi\) | |||||||
\(954\) | −37.1093 | −1.20146 | ||||||||
\(955\) | 4.47852 | 0.144922 | ||||||||
\(956\) | −15.1187 | −0.488974 | ||||||||
\(957\) | 0.995407 | 0.0321769 | ||||||||
\(958\) | 18.3078 | 0.591500 | ||||||||
\(959\) | 7.16773 | 0.231458 | ||||||||
\(960\) | 2.20565 | 0.0711870 | ||||||||
\(961\) | −30.8710 | −0.995838 | ||||||||
\(962\) | 14.6061 | 0.470919 | ||||||||
\(963\) | −103.802 | −3.34498 | ||||||||
\(964\) | −14.3638 | −0.462626 | ||||||||
\(965\) | 0.502518 | 0.0161766 | ||||||||
\(966\) | −8.09315 | −0.260393 | ||||||||
\(967\) | −20.9549 | −0.673864 | −0.336932 | − | 0.941529i | \(-0.609389\pi\) | ||||
−0.336932 | + | 0.941529i | \(0.609389\pi\) | |||||||
\(968\) | 3.60023 | 0.115716 | ||||||||
\(969\) | −83.9925 | −2.69823 | ||||||||
\(970\) | 6.49966 | 0.208691 | ||||||||
\(971\) | 52.2202 | 1.67583 | 0.837913 | − | 0.545803i | \(-0.183775\pi\) | ||||
0.837913 | + | 0.545803i | \(0.183775\pi\) | |||||||
\(972\) | 44.1753 | 1.41692 | ||||||||
\(973\) | −44.3369 | −1.42137 | ||||||||
\(974\) | −39.1360 | −1.25400 | ||||||||
\(975\) | 72.4063 | 2.31886 | ||||||||
\(976\) | −0.654976 | −0.0209653 | ||||||||
\(977\) | −19.4881 | −0.623480 | −0.311740 | − | 0.950167i | \(-0.600912\pi\) | ||||
−0.311740 | + | 0.950167i | \(0.600912\pi\) | |||||||
\(978\) | 22.5375 | 0.720669 | ||||||||
\(979\) | 39.4592 | 1.26112 | ||||||||
\(980\) | −0.607077 | −0.0193924 | ||||||||
\(981\) | −114.746 | −3.66357 | ||||||||
\(982\) | −28.3155 | −0.903583 | ||||||||
\(983\) | −60.6859 | −1.93558 | −0.967790 | − | 0.251760i | \(-0.918991\pi\) | ||||
−0.967790 | + | 0.251760i | \(0.918991\pi\) | |||||||
\(984\) | 18.3180 | 0.583957 | ||||||||
\(985\) | −10.2418 | −0.326331 | ||||||||
\(986\) | −0.635410 | −0.0202356 | ||||||||
\(987\) | −35.1241 | −1.11801 | ||||||||
\(988\) | −21.8798 | −0.696089 | ||||||||
\(989\) | 3.52544 | 0.112102 | ||||||||
\(990\) | 14.1719 | 0.450411 | ||||||||
\(991\) | −44.4645 | −1.41246 | −0.706230 | − | 0.707982i | \(-0.749606\pi\) | ||||
−0.706230 | + | 0.707982i | \(0.749606\pi\) | |||||||
\(992\) | −0.359190 | −0.0114043 | ||||||||
\(993\) | −55.4767 | −1.76050 | ||||||||
\(994\) | 27.9720 | 0.887218 | ||||||||
\(995\) | −16.3265 | −0.517584 | ||||||||
\(996\) | 10.9821 | 0.347982 | ||||||||
\(997\) | −23.8697 | −0.755962 | −0.377981 | − | 0.925813i | \(-0.623382\pi\) | ||||
−0.377981 | + | 0.925813i | \(0.623382\pi\) | |||||||
\(998\) | 16.3453 | 0.517402 | ||||||||
\(999\) | 46.7121 | 1.47791 |
(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 | 6026.2.a.h.1.24 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
6026.2.a.h.1.24 | ✓ | 24 | 1.1 | even | 1 | trivial |