Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [380,2,Mod(267,380)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(380, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("380.267");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 380 = 2^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 380.k (of order \(4\), degree \(2\), minimal) |
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: | no |
Analytic conductor: | \(3.03431527681\) |
Analytic rank: | \(0\) |
Dimension: | \(52\) |
Relative dimension: | \(26\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 343.26 | ||
Character | \(\chi\) | \(=\) | 380.343 |
Dual form | 380.2.k.c.267.26 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) | \(191\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.41420 | − | 0.00522099i | 0.999993 | − | 0.00369180i | ||||
\(3\) | 0.212700 | − | 0.212700i | 0.122803 | − | 0.122803i | −0.643035 | − | 0.765837i | \(-0.722325\pi\) |
0.765837 | + | 0.643035i | \(0.222325\pi\) | |||||||
\(4\) | 1.99995 | − | 0.0147671i | 0.999973 | − | 0.00738355i | ||||
\(5\) | 2.19176 | − | 0.442915i | 0.980186 | − | 0.198078i | ||||
\(6\) | 0.299691 | − | 0.301912i | 0.122348 | − | 0.123255i | ||||
\(7\) | −2.65088 | − | 2.65088i | −1.00194 | − | 1.00194i | −0.999998 | − | 0.00193869i | \(-0.999383\pi\) |
−0.00193869 | − | 0.999998i | \(-0.500617\pi\) | |||||||
\(8\) | 2.82825 | − | 0.0313254i | 0.999939 | − | 0.0110752i | ||||
\(9\) | 2.90952i | 0.969839i | ||||||||
\(10\) | 3.09729 | − | 0.637816i | 0.979448 | − | 0.201695i | ||||
\(11\) | − | 2.04453i | − | 0.616450i | −0.951314 | − | 0.308225i | \(-0.900265\pi\) | ||
0.951314 | − | 0.308225i | \(-0.0997349\pi\) | |||||||
\(12\) | 0.422248 | − | 0.428530i | 0.121893 | − | 0.123706i | ||||
\(13\) | −0.226183 | − | 0.226183i | −0.0627319 | − | 0.0627319i | 0.675045 | − | 0.737777i | \(-0.264124\pi\) |
−0.737777 | + | 0.675045i | \(0.764124\pi\) | |||||||
\(14\) | −3.76272 | − | 3.73504i | −1.00563 | − | 0.998231i | ||||
\(15\) | 0.371981 | − | 0.560397i | 0.0960450 | − | 0.144694i | ||||
\(16\) | 3.99956 | − | 0.0590668i | 0.999891 | − | 0.0147667i | ||||
\(17\) | −3.06235 | + | 3.06235i | −0.742729 | + | 0.742729i | −0.973102 | − | 0.230374i | \(-0.926005\pi\) |
0.230374 | + | 0.973102i | \(0.426005\pi\) | |||||||
\(18\) | 0.0151906 | + | 4.11465i | 0.00358045 | + | 0.969832i | ||||
\(19\) | 1.00000 | 0.229416 | ||||||||
\(20\) | 4.37687 | − | 0.918173i | 0.978697 | − | 0.205310i | ||||
\(21\) | −1.12768 | −0.246081 | ||||||||
\(22\) | −0.0106745 | − | 2.89139i | −0.00227581 | − | 0.616445i | ||||
\(23\) | −5.40599 | + | 5.40599i | −1.12723 | + | 1.12723i | −0.136600 | + | 0.990626i | \(0.543618\pi\) |
−0.990626 | + | 0.136600i | \(0.956382\pi\) | |||||||
\(24\) | 0.594908 | − | 0.608234i | 0.121435 | − | 0.124155i | ||||
\(25\) | 4.60765 | − | 1.94153i | 0.921530 | − | 0.388306i | ||||
\(26\) | −0.321050 | − | 0.318688i | −0.0629630 | − | 0.0624999i | ||||
\(27\) | 1.25696 | + | 1.25696i | 0.241901 | + | 0.241901i | ||||
\(28\) | −5.34075 | − | 5.26246i | −1.00931 | − | 0.994512i | ||||
\(29\) | − | 6.50979i | − | 1.20884i | −0.796667 | − | 0.604419i | \(-0.793405\pi\) | ||
0.796667 | − | 0.604419i | \(-0.206595\pi\) | |||||||
\(30\) | 0.523131 | − | 0.794458i | 0.0955102 | − | 0.145048i | ||||
\(31\) | 5.78891i | 1.03972i | 0.854252 | + | 0.519860i | \(0.174016\pi\) | ||||
−0.854252 | + | 0.519860i | \(0.825984\pi\) | |||||||
\(32\) | 5.65589 | − | 0.104414i | 0.999830 | − | 0.0184580i | ||||
\(33\) | −0.434873 | − | 0.434873i | −0.0757016 | − | 0.0757016i | ||||
\(34\) | −4.31480 | + | 4.34677i | −0.739982 | + | 0.745466i | ||||
\(35\) | −6.98421 | − | 4.63598i | −1.18055 | − | 0.783623i | ||||
\(36\) | 0.0429651 | + | 5.81888i | 0.00716085 | + | 0.969813i | ||||
\(37\) | −6.86987 | + | 6.86987i | −1.12940 | + | 1.12940i | −0.139124 | + | 0.990275i | \(0.544429\pi\) |
−0.990275 | + | 0.139124i | \(0.955571\pi\) | |||||||
\(38\) | 1.41420 | − | 0.00522099i | 0.229414 | − | 0.000846957i | ||||
\(39\) | −0.0962184 | −0.0154073 | ||||||||
\(40\) | 6.18499 | − | 1.32133i | 0.977932 | − | 0.208921i | ||||
\(41\) | 6.57779 | 1.02728 | 0.513639 | − | 0.858006i | \(-0.328297\pi\) | ||||
0.513639 | + | 0.858006i | \(0.328297\pi\) | |||||||
\(42\) | −1.59478 | + | 0.00588763i | −0.246079 | + | 0.000908481i | ||||
\(43\) | 3.72596 | − | 3.72596i | 0.568203 | − | 0.568203i | −0.363422 | − | 0.931625i | \(-0.618392\pi\) |
0.931625 | + | 0.363422i | \(0.118392\pi\) | |||||||
\(44\) | −0.0301918 | − | 4.08895i | −0.00455158 | − | 0.616433i | ||||
\(45\) | 1.28867 | + | 6.37697i | 0.192104 | + | 0.950623i | ||||
\(46\) | −7.61695 | + | 7.67340i | −1.12306 | + | 1.13138i | ||||
\(47\) | −1.24109 | − | 1.24109i | −0.181032 | − | 0.181032i | 0.610773 | − | 0.791805i | \(-0.290859\pi\) |
−0.791805 | + | 0.610773i | \(0.790859\pi\) | |||||||
\(48\) | 0.838145 | − | 0.863272i | 0.120976 | − | 0.124603i | ||||
\(49\) | 7.05428i | 1.00775i | ||||||||
\(50\) | 6.50602 | − | 2.76978i | 0.920091 | − | 0.391706i | ||||
\(51\) | 1.30273i | 0.182418i | ||||||||
\(52\) | −0.455694 | − | 0.449014i | −0.0631933 | − | 0.0622670i | ||||
\(53\) | −6.74839 | − | 6.74839i | −0.926962 | − | 0.926962i | 0.0705463 | − | 0.997509i | \(-0.477526\pi\) |
−0.997509 | + | 0.0705463i | \(0.977526\pi\) | |||||||
\(54\) | 1.78416 | + | 1.77103i | 0.242793 | + | 0.241007i | ||||
\(55\) | −0.905555 | − | 4.48113i | −0.122105 | − | 0.604235i | ||||
\(56\) | −7.58039 | − | 7.41431i | −1.01297 | − | 0.990779i | ||||
\(57\) | 0.212700 | − | 0.212700i | 0.0281729 | − | 0.0281729i | ||||
\(58\) | −0.0339876 | − | 9.20617i | −0.00446279 | − | 1.20883i | ||||
\(59\) | −4.42510 | −0.576098 | −0.288049 | − | 0.957616i | \(-0.593007\pi\) | ||||
−0.288049 | + | 0.957616i | \(0.593007\pi\) | |||||||
\(60\) | 0.735666 | − | 1.12626i | 0.0949740 | − | 0.145399i | ||||
\(61\) | 0.777701 | 0.0995745 | 0.0497872 | − | 0.998760i | \(-0.484146\pi\) | ||||
0.0497872 | + | 0.998760i | \(0.484146\pi\) | |||||||
\(62\) | 0.0302239 | + | 8.18670i | 0.00383844 | + | 1.03971i | ||||
\(63\) | 7.71277 | − | 7.71277i | 0.971717 | − | 0.971717i | ||||
\(64\) | 7.99804 | − | 0.177192i | 0.999755 | − | 0.0221490i | ||||
\(65\) | −0.595919 | − | 0.395560i | −0.0739147 | − | 0.0490631i | ||||
\(66\) | −0.617269 | − | 0.612728i | −0.0759806 | − | 0.0754216i | ||||
\(67\) | 5.08912 | + | 5.08912i | 0.621734 | + | 0.621734i | 0.945975 | − | 0.324240i | \(-0.105109\pi\) |
−0.324240 | + | 0.945975i | \(0.605109\pi\) | |||||||
\(68\) | −6.07931 | + | 6.16975i | −0.737224 | + | 0.748192i | ||||
\(69\) | 2.29971i | 0.276853i | ||||||||
\(70\) | −9.90129 | − | 6.51975i | −1.18343 | − | 0.779260i | ||||
\(71\) | 1.53345i | 0.181986i | 0.995852 | + | 0.0909932i | \(0.0290042\pi\) | ||||
−0.995852 | + | 0.0909932i | \(0.970996\pi\) | |||||||
\(72\) | 0.0911417 | + | 8.22885i | 0.0107412 | + | 0.969780i | ||||
\(73\) | −7.28339 | − | 7.28339i | −0.852457 | − | 0.852457i | 0.137979 | − | 0.990435i | \(-0.455939\pi\) |
−0.990435 | + | 0.137979i | \(0.955939\pi\) | |||||||
\(74\) | −9.67952 | + | 9.75126i | −1.12522 | + | 1.13356i | ||||
\(75\) | 0.567085 | − | 1.39301i | 0.0654813 | − | 0.160851i | ||||
\(76\) | 1.99995 | − | 0.0147671i | 0.229409 | − | 0.00169390i | ||||
\(77\) | −5.41980 | + | 5.41980i | −0.617644 | + | 0.617644i | ||||
\(78\) | −0.136072 | 0.000502356i | −0.0154072 | 5.68806e-5i | ||||||
\(79\) | −16.5071 | −1.85720 | −0.928599 | − | 0.371086i | \(-0.878986\pi\) | ||||
−0.928599 | + | 0.371086i | \(0.878986\pi\) | |||||||
\(80\) | 8.73994 | − | 1.90093i | 0.977154 | − | 0.212530i | ||||
\(81\) | −8.19384 | −0.910427 | ||||||||
\(82\) | 9.30234 | − | 0.0343426i | 1.02727 | − | 0.00379250i | ||||
\(83\) | −4.29909 | + | 4.29909i | −0.471887 | + | 0.471887i | −0.902525 | − | 0.430638i | \(-0.858289\pi\) |
0.430638 | + | 0.902525i | \(0.358289\pi\) | |||||||
\(84\) | −2.25531 | + | 0.0166526i | −0.246074 | + | 0.00181695i | ||||
\(85\) | −5.35558 | + | 8.06830i | −0.580894 | + | 0.875131i | ||||
\(86\) | 5.24981 | − | 5.28872i | 0.566102 | − | 0.570297i | ||||
\(87\) | −1.38464 | − | 1.38464i | −0.148449 | − | 0.148449i | ||||
\(88\) | −0.0640457 | − | 5.78246i | −0.00682730 | − | 0.616412i | ||||
\(89\) | 8.74189i | 0.926639i | 0.886191 | + | 0.463319i | \(0.153342\pi\) | ||||
−0.886191 | + | 0.463319i | \(0.846658\pi\) | |||||||
\(90\) | 1.85574 | + | 9.01161i | 0.195612 | + | 0.949907i | ||||
\(91\) | 1.19917i | 0.125707i | ||||||||
\(92\) | −10.7319 | + | 10.8915i | −1.11887 | + | 1.13552i | ||||
\(93\) | 1.23130 | + | 1.23130i | 0.127680 | + | 0.127680i | ||||
\(94\) | −1.76164 | − | 1.74868i | −0.181699 | − | 0.180363i | ||||
\(95\) | 2.19176 | − | 0.442915i | 0.224870 | − | 0.0454422i | ||||
\(96\) | 1.18080 | − | 1.22522i | 0.120515 | − | 0.125048i | ||||
\(97\) | −2.60382 | + | 2.60382i | −0.264377 | + | 0.264377i | −0.826830 | − | 0.562452i | \(-0.809858\pi\) |
0.562452 | + | 0.826830i | \(0.309858\pi\) | |||||||
\(98\) | 0.0368304 | + | 9.97619i | 0.00372043 | + | 1.00775i | ||||
\(99\) | 5.94860 | 0.597857 | ||||||||
\(100\) | 9.18638 | − | 3.95100i | 0.918638 | − | 0.395100i | ||||
\(101\) | 13.0511 | 1.29864 | 0.649318 | − | 0.760517i | \(-0.275054\pi\) | ||||
0.649318 | + | 0.760517i | \(0.275054\pi\) | |||||||
\(102\) | 0.00680152 | + | 1.84232i | 0.000673451 | + | 0.182417i | ||||
\(103\) | 12.4417 | − | 12.4417i | 1.22591 | − | 1.22591i | 0.260419 | − | 0.965496i | \(-0.416139\pi\) |
0.965496 | − | 0.260419i | \(-0.0838608\pi\) | |||||||
\(104\) | −0.646788 | − | 0.632618i | −0.0634228 | − | 0.0620333i | ||||
\(105\) | −2.47162 | + | 0.499469i | −0.241205 | + | 0.0487432i | ||||
\(106\) | −9.57883 | − | 9.50836i | −0.930378 | − | 0.923534i | ||||
\(107\) | −0.931552 | − | 0.931552i | −0.0900565 | − | 0.0900565i | 0.660643 | − | 0.750700i | \(-0.270284\pi\) |
−0.750700 | + | 0.660643i | \(0.770284\pi\) | |||||||
\(108\) | 2.53241 | + | 2.49528i | 0.243681 | + | 0.240109i | ||||
\(109\) | − | 20.2411i | − | 1.93874i | −0.245597 | − | 0.969372i | \(-0.578984\pi\) | ||
0.245597 | − | 0.969372i | \(-0.421016\pi\) | |||||||
\(110\) | −1.30404 | − | 6.33250i | −0.124335 | − | 0.603781i | ||||
\(111\) | 2.92245i | 0.277386i | ||||||||
\(112\) | −10.7589 | − | 10.4458i | −1.01662 | − | 0.987032i | ||||
\(113\) | 3.01028 | + | 3.01028i | 0.283183 | + | 0.283183i | 0.834377 | − | 0.551194i | \(-0.185828\pi\) |
−0.551194 | + | 0.834377i | \(0.685828\pi\) | |||||||
\(114\) | 0.299691 | − | 0.301912i | 0.0280687 | − | 0.0282767i | ||||
\(115\) | −9.45425 | + | 14.2430i | −0.881614 | + | 1.32817i | ||||
\(116\) | −0.0961307 | − | 13.0192i | −0.00892551 | − | 1.20881i | ||||
\(117\) | 0.658083 | − | 0.658083i | 0.0608398 | − | 0.0608398i | ||||
\(118\) | −6.25799 | + | 0.0231034i | −0.576094 | + | 0.00212684i | ||||
\(119\) | 16.2358 | 1.48833 | ||||||||
\(120\) | 1.03450 | − | 1.59660i | 0.0944366 | − | 0.145749i | ||||
\(121\) | 6.81989 | 0.619990 | ||||||||
\(122\) | 1.09983 | − | 0.00406037i | 0.0995738 | − | 0.000367609i | ||||
\(123\) | 1.39910 | − | 1.39910i | 0.126152 | − | 0.126152i | ||||
\(124\) | 0.0854854 | + | 11.5775i | 0.00767682 | + | 1.03969i | ||||
\(125\) | 9.23895 | − | 6.29618i | 0.826357 | − | 0.563147i | ||||
\(126\) | 10.8672 | − | 10.9477i | 0.968123 | − | 0.975298i | ||||
\(127\) | −6.14286 | − | 6.14286i | −0.545091 | − | 0.545091i | 0.379926 | − | 0.925017i | \(-0.375949\pi\) |
−0.925017 | + | 0.379926i | \(0.875949\pi\) | |||||||
\(128\) | 11.3099 | − | 0.292344i | 0.999666 | − | 0.0258398i | ||||
\(129\) | − | 1.58503i | − | 0.139554i | ||||||
\(130\) | −0.844817 | − | 0.556291i | −0.0740953 | − | 0.0487899i | ||||
\(131\) | 8.30018i | 0.725190i | 0.931947 | + | 0.362595i | \(0.118109\pi\) | ||||
−0.931947 | + | 0.362595i | \(0.881891\pi\) | |||||||
\(132\) | −0.876144 | − | 0.863300i | −0.0762585 | − | 0.0751406i | ||||
\(133\) | −2.65088 | − | 2.65088i | −0.229860 | − | 0.229860i | ||||
\(134\) | 7.22362 | + | 7.17048i | 0.624026 | + | 0.619435i | ||||
\(135\) | 3.31168 | + | 2.19823i | 0.285024 | + | 0.189193i | ||||
\(136\) | −8.56517 | + | 8.75703i | −0.734457 | + | 0.750909i | ||||
\(137\) | 3.16161 | − | 3.16161i | 0.270115 | − | 0.270115i | −0.559032 | − | 0.829146i | \(-0.688827\pi\) |
0.829146 | + | 0.559032i | \(0.188827\pi\) | |||||||
\(138\) | 0.0120068 | + | 3.25226i | 0.00102208 | + | 0.276851i | ||||
\(139\) | 16.9908 | 1.44114 | 0.720572 | − | 0.693380i | \(-0.243879\pi\) | ||||
0.720572 | + | 0.693380i | \(0.243879\pi\) | |||||||
\(140\) | −14.0365 | − | 9.16857i | −1.18630 | − | 0.774885i | ||||
\(141\) | −0.527962 | −0.0444625 | ||||||||
\(142\) | 0.00800611 | + | 2.16860i | 0.000671857 | + | 0.181985i | ||||
\(143\) | −0.462438 | + | 0.462438i | −0.0386710 | + | 0.0386710i | ||||
\(144\) | 0.171856 | + | 11.6368i | 0.0143213 | + | 0.969733i | ||||
\(145\) | −2.88329 | − | 14.2679i | −0.239444 | − | 1.18489i | ||||
\(146\) | −10.3382 | − | 10.2622i | −0.855598 | − | 0.849304i | ||||
\(147\) | 1.50045 | + | 1.50045i | 0.123755 | + | 0.123755i | ||||
\(148\) | −13.6379 | + | 13.8408i | −1.12103 | + | 1.13771i | ||||
\(149\) | 9.77519i | 0.800815i | 0.916337 | + | 0.400407i | \(0.131131\pi\) | ||||
−0.916337 | + | 0.400407i | \(0.868869\pi\) | |||||||
\(150\) | 0.794701 | − | 1.97297i | 0.0648870 | − | 0.161092i | ||||
\(151\) | 4.21919i | 0.343353i | 0.985153 | + | 0.171676i | \(0.0549184\pi\) | ||||
−0.985153 | + | 0.171676i | \(0.945082\pi\) | |||||||
\(152\) | 2.82825 | − | 0.0313254i | 0.229402 | − | 0.00254082i | ||||
\(153\) | −8.90996 | − | 8.90996i | −0.720327 | − | 0.720327i | ||||
\(154\) | −7.63641 | + | 7.69300i | −0.615359 | + | 0.619920i | ||||
\(155\) | 2.56400 | + | 12.6879i | 0.205945 | + | 1.01912i | ||||
\(156\) | −0.192432 | + | 0.00142087i | −0.0154069 | + | 0.000113760i | ||||
\(157\) | 8.55712 | − | 8.55712i | 0.682933 | − | 0.682933i | −0.277727 | − | 0.960660i | \(-0.589581\pi\) |
0.960660 | + | 0.277727i | \(0.0895812\pi\) | |||||||
\(158\) | −23.3444 | + | 0.0861836i | −1.85718 | + | 0.00685640i | ||||
\(159\) | −2.87077 | −0.227667 | ||||||||
\(160\) | 12.3501 | − | 2.73393i | 0.976363 | − | 0.216136i | ||||
\(161\) | 28.6612 | 2.25882 | ||||||||
\(162\) | −11.5878 | + | 0.0427800i | −0.910421 | + | 0.00336111i | ||||
\(163\) | 11.5235 | − | 11.5235i | 0.902586 | − | 0.902586i | −0.0930729 | − | 0.995659i | \(-0.529669\pi\) |
0.995659 | + | 0.0930729i | \(0.0296690\pi\) | |||||||
\(164\) | 13.1552 | − | 0.0971348i | 1.02725 | − | 0.00758496i | ||||
\(165\) | −1.14575 | − | 0.760526i | −0.0891965 | − | 0.0592069i | ||||
\(166\) | −6.05735 | + | 6.10224i | −0.470141 | + | 0.473625i | ||||
\(167\) | 3.64071 | + | 3.64071i | 0.281727 | + | 0.281727i | 0.833797 | − | 0.552071i | \(-0.186162\pi\) |
−0.552071 | + | 0.833797i | \(0.686162\pi\) | |||||||
\(168\) | −3.18938 | + | 0.0353252i | −0.246066 | + | 0.00272539i | ||||
\(169\) | − | 12.8977i | − | 0.992129i | ||||||
\(170\) | −7.53176 | + | 11.4382i | −0.577660 | + | 0.877269i | ||||
\(171\) | 2.90952i | 0.222496i | ||||||||
\(172\) | 7.39669 | − | 7.50673i | 0.563992 | − | 0.572383i | ||||
\(173\) | 1.45513 | + | 1.45513i | 0.110632 | + | 0.110632i | 0.760256 | − | 0.649624i | \(-0.225074\pi\) |
−0.649624 | + | 0.760256i | \(0.725074\pi\) | |||||||
\(174\) | −1.96539 | − | 1.95093i | −0.148996 | − | 0.147899i | ||||
\(175\) | −17.3611 | − | 7.06755i | −1.31237 | − | 0.534257i | ||||
\(176\) | −0.120764 | − | 8.17724i | −0.00910292 | − | 0.616382i | ||||
\(177\) | −0.941220 | + | 0.941220i | −0.0707464 | + | 0.0707464i | ||||
\(178\) | 0.0456413 | + | 12.3628i | 0.00342096 | + | 0.926632i | ||||
\(179\) | 2.19695 | 0.164208 | 0.0821038 | − | 0.996624i | \(-0.473836\pi\) | ||||
0.0821038 | + | 0.996624i | \(0.473836\pi\) | |||||||
\(180\) | 2.67144 | + | 12.7346i | 0.199117 | + | 0.949179i | ||||
\(181\) | −4.48272 | −0.333198 | −0.166599 | − | 0.986025i | \(-0.553279\pi\) | ||||
−0.166599 | + | 0.986025i | \(0.553279\pi\) | |||||||
\(182\) | 0.00626084 | + | 1.69587i | 0.000464084 | + | 0.125706i | ||||
\(183\) | 0.165417 | − | 0.165417i | 0.0122280 | − | 0.0122280i | ||||
\(184\) | −15.1202 | + | 15.4589i | −1.11467 | + | 1.13964i | ||||
\(185\) | −12.0143 | + | 18.0999i | −0.883312 | + | 1.33073i | ||||
\(186\) | 1.74774 | + | 1.73489i | 0.128151 | + | 0.127208i | ||||
\(187\) | 6.26107 | + | 6.26107i | 0.457855 | + | 0.457855i | ||||
\(188\) | −2.50045 | − | 2.46379i | −0.182364 | − | 0.179691i | ||||
\(189\) | − | 6.66407i | − | 0.484740i | ||||||
\(190\) | 3.09729 | − | 0.637816i | 0.224701 | − | 0.0462720i | ||||
\(191\) | − | 6.36037i | − | 0.460220i | −0.973165 | − | 0.230110i | \(-0.926091\pi\) | ||
0.973165 | − | 0.230110i | \(-0.0739087\pi\) | |||||||
\(192\) | 1.66350 | − | 1.73887i | 0.120053 | − | 0.125492i | ||||
\(193\) | −13.5977 | − | 13.5977i | −0.978787 | − | 0.978787i | 0.0209930 | − | 0.999780i | \(-0.493317\pi\) |
−0.999780 | + | 0.0209930i | \(0.993317\pi\) | |||||||
\(194\) | −3.66873 | + | 3.69592i | −0.263400 | + | 0.265352i | ||||
\(195\) | −0.210888 | + | 0.0426166i | −0.0151020 | + | 0.00305184i | ||||
\(196\) | 0.104171 | + | 14.1082i | 0.00744080 | + | 1.00773i | ||||
\(197\) | 7.28242 | − | 7.28242i | 0.518851 | − | 0.518851i | −0.398373 | − | 0.917224i | \(-0.630425\pi\) |
0.917224 | + | 0.398373i | \(0.130425\pi\) | |||||||
\(198\) | 8.41253 | − | 0.0310576i | 0.597853 | − | 0.00220717i | ||||
\(199\) | 21.1117 | 1.49657 | 0.748284 | − | 0.663378i | \(-0.230878\pi\) | ||||
0.748284 | + | 0.663378i | \(0.230878\pi\) | |||||||
\(200\) | 12.9708 | − | 5.63548i | 0.917173 | − | 0.398489i | ||||
\(201\) | 2.16491 | 0.152701 | ||||||||
\(202\) | 18.4570 | − | 0.0681399i | 1.29863 | − | 0.00479430i | ||||
\(203\) | −17.2566 | + | 17.2566i | −1.21118 | + | 1.21118i | ||||
\(204\) | 0.0192375 | + | 2.60538i | 0.00134689 | + | 0.182413i | ||||
\(205\) | 14.4170 | − | 2.91340i | 1.00692 | − | 0.203481i | ||||
\(206\) | 17.5301 | − | 17.6600i | 1.22138 | − | 1.23043i | ||||
\(207\) | −15.7288 | − | 15.7288i | −1.09323 | − | 1.09323i | ||||
\(208\) | −0.917993 | − | 0.891273i | −0.0636514 | − | 0.0617987i | ||||
\(209\) | − | 2.04453i | − | 0.141423i | ||||||
\(210\) | −3.49276 | + | 0.719255i | −0.241024 | + | 0.0496333i | ||||
\(211\) | 13.4524i | 0.926098i | 0.886333 | + | 0.463049i | \(0.153245\pi\) | ||||
−0.886333 | + | 0.463049i | \(0.846755\pi\) | |||||||
\(212\) | −13.5961 | − | 13.3968i | −0.933781 | − | 0.920093i | ||||
\(213\) | 0.326164 | + | 0.326164i | 0.0223484 | + | 0.0223484i | ||||
\(214\) | −1.32227 | − | 1.31254i | −0.0903883 | − | 0.0897234i | ||||
\(215\) | 6.51613 | − | 9.81670i | 0.444397 | − | 0.669494i | ||||
\(216\) | 3.59437 | + | 3.51562i | 0.244566 | + | 0.239207i | ||||
\(217\) | 15.3457 | − | 15.3457i | 1.04173 | − | 1.04173i | ||||
\(218\) | −0.105679 | − | 28.6250i | −0.00715745 | − | 1.93873i | ||||
\(219\) | −3.09836 | −0.209368 | ||||||||
\(220\) | −1.87723 | − | 8.94864i | −0.126563 | − | 0.603317i | ||||
\(221\) | 1.38530 | 0.0931855 | ||||||||
\(222\) | 0.0152581 | + | 4.13293i | 0.00102405 | + | 0.277384i | ||||
\(223\) | −1.88885 | + | 1.88885i | −0.126486 | + | 0.126486i | −0.767516 | − | 0.641030i | \(-0.778508\pi\) |
0.641030 | + | 0.767516i | \(0.278508\pi\) | |||||||
\(224\) | −15.2699 | − | 14.7163i | −1.02026 | − | 0.983272i | ||||
\(225\) | 5.64892 | + | 13.4060i | 0.376595 | + | 0.893736i | ||||
\(226\) | 4.27286 | + | 4.24143i | 0.284226 | + | 0.282136i | ||||
\(227\) | −1.46448 | − | 1.46448i | −0.0972007 | − | 0.0972007i | 0.656834 | − | 0.754035i | \(-0.271895\pi\) |
−0.754035 | + | 0.656834i | \(0.771895\pi\) | |||||||
\(228\) | 0.422248 | − | 0.428530i | 0.0279641 | − | 0.0283801i | ||||
\(229\) | − | 3.08873i | − | 0.204109i | −0.994779 | − | 0.102055i | \(-0.967458\pi\) | ||
0.994779 | − | 0.102055i | \(-0.0325417\pi\) | |||||||
\(230\) | −13.2959 | + | 20.1919i | −0.876704 | + | 1.33142i | ||||
\(231\) | 2.30559i | 0.151697i | ||||||||
\(232\) | −0.203922 | − | 18.4113i | −0.0133881 | − | 1.20876i | ||||
\(233\) | 0.275351 | + | 0.275351i | 0.0180388 | + | 0.0180388i | 0.716069 | − | 0.698030i | \(-0.245940\pi\) |
−0.698030 | + | 0.716069i | \(0.745940\pi\) | |||||||
\(234\) | 0.927228 | − | 0.934100i | 0.0606148 | − | 0.0610640i | ||||
\(235\) | −3.26988 | − | 2.17048i | −0.213304 | − | 0.141587i | ||||
\(236\) | −8.84995 | + | 0.0653458i | −0.576083 | + | 0.00425365i | ||||
\(237\) | −3.51107 | + | 3.51107i | −0.228069 | + | 0.228069i | ||||
\(238\) | 22.9607 | − | 0.0847670i | 1.48832 | − | 0.00549463i | ||||
\(239\) | 2.55298 | 0.165139 | 0.0825693 | − | 0.996585i | \(-0.473687\pi\) | ||||
0.0825693 | + | 0.996585i | \(0.473687\pi\) | |||||||
\(240\) | 1.45466 | − | 2.26332i | 0.0938979 | − | 0.146096i | ||||
\(241\) | −10.8689 | −0.700128 | −0.350064 | − | 0.936726i | \(-0.613840\pi\) | ||||
−0.350064 | + | 0.936726i | \(0.613840\pi\) | |||||||
\(242\) | 9.64471 | − | 0.0356066i | 0.619986 | − | 0.00228888i | ||||
\(243\) | −5.51370 | + | 5.51370i | −0.353704 | + | 0.353704i | ||||
\(244\) | 1.55536 | − | 0.0114844i | 0.0995718 | − | 0.000735213i | ||||
\(245\) | 3.12445 | + | 15.4613i | 0.199614 | + | 0.987787i | ||||
\(246\) | 1.97131 | − | 1.98592i | 0.125686 | − | 0.126617i | ||||
\(247\) | −0.226183 | − | 0.226183i | −0.0143917 | − | 0.0143917i | ||||
\(248\) | 0.181340 | + | 16.3725i | 0.0115151 | + | 1.03966i | ||||
\(249\) | 1.82884i | 0.115898i | ||||||||
\(250\) | 13.0329 | − | 8.95231i | 0.824272 | − | 0.566194i | ||||
\(251\) | 21.9355i | 1.38456i | 0.721630 | + | 0.692279i | \(0.243393\pi\) | ||||
−0.721630 | + | 0.692279i | \(0.756607\pi\) | |||||||
\(252\) | 15.3112 | − | 15.5390i | 0.964516 | − | 0.978866i | ||||
\(253\) | 11.0527 | + | 11.0527i | 0.694878 | + | 0.694878i | ||||
\(254\) | −8.71933 | − | 8.65519i | −0.547099 | − | 0.543075i | ||||
\(255\) | 0.576997 | + | 2.85527i | 0.0361330 | + | 0.178804i | ||||
\(256\) | 15.9930 | − | 0.472483i | 0.999564 | − | 0.0295302i | ||||
\(257\) | −8.89886 | + | 8.89886i | −0.555096 | + | 0.555096i | −0.927907 | − | 0.372811i | \(-0.878394\pi\) |
0.372811 | + | 0.927907i | \(0.378394\pi\) | |||||||
\(258\) | −0.00827541 | − | 2.24155i | −0.000515204 | − | 0.139553i | ||||
\(259\) | 36.4223 | 2.26317 | ||||||||
\(260\) | −1.19765 | − | 0.782298i | −0.0742750 | − | 0.0485160i | ||||
\(261\) | 18.9404 | 1.17238 | ||||||||
\(262\) | 0.0433352 | + | 11.7381i | 0.00267725 | + | 0.725185i | ||||
\(263\) | 16.0413 | − | 16.0413i | 0.989151 | − | 0.989151i | −0.0107906 | − | 0.999942i | \(-0.503435\pi\) |
0.999942 | + | 0.0107906i | \(0.00343481\pi\) | |||||||
\(264\) | −1.24355 | − | 1.21631i | −0.0765354 | − | 0.0748586i | ||||
\(265\) | −17.7798 | − | 11.8019i | −1.09221 | − | 0.724985i | ||||
\(266\) | −3.76272 | − | 3.73504i | −0.230707 | − | 0.229010i | ||||
\(267\) | 1.85940 | + | 1.85940i | 0.113794 | + | 0.113794i | ||||
\(268\) | 10.2531 | + | 10.1028i | 0.626308 | + | 0.617127i | ||||
\(269\) | 6.96525i | 0.424679i | 0.977196 | + | 0.212339i | \(0.0681083\pi\) | ||||
−0.977196 | + | 0.212339i | \(0.931892\pi\) | |||||||
\(270\) | 4.69486 | + | 3.09145i | 0.285720 | + | 0.188140i | ||||
\(271\) | − | 7.23572i | − | 0.439539i | −0.975552 | − | 0.219769i | \(-0.929470\pi\) | ||
0.975552 | − | 0.219769i | \(-0.0705305\pi\) | |||||||
\(272\) | −12.0672 | + | 12.4289i | −0.731680 | + | 0.753615i | ||||
\(273\) | 0.255063 | + | 0.255063i | 0.0154371 | + | 0.0154371i | ||||
\(274\) | 4.45466 | − | 4.48767i | 0.269116 | − | 0.271110i | ||||
\(275\) | −3.96952 | − | 9.42049i | −0.239371 | − | 0.568077i | ||||
\(276\) | 0.0339601 | + | 4.59930i | 0.00204416 | + | 0.276845i | ||||
\(277\) | −15.1164 | + | 15.1164i | −0.908254 | + | 0.908254i | −0.996131 | − | 0.0878773i | \(-0.971992\pi\) |
0.0878773 | + | 0.996131i | \(0.471992\pi\) | |||||||
\(278\) | 24.0285 | − | 0.0887090i | 1.44113 | − | 0.00532041i | ||||
\(279\) | −16.8429 | −1.00836 | ||||||||
\(280\) | −19.8983 | − | 12.8929i | −1.18915 | − | 0.770500i | ||||
\(281\) | 10.0095 | 0.597118 | 0.298559 | − | 0.954391i | \(-0.403494\pi\) | ||||
0.298559 | + | 0.954391i | \(0.403494\pi\) | |||||||
\(282\) | −0.746646 | + | 0.00275649i | −0.0444622 | + | 0.000164146i | ||||
\(283\) | −8.48356 | + | 8.48356i | −0.504295 | + | 0.504295i | −0.912770 | − | 0.408474i | \(-0.866061\pi\) |
0.408474 | + | 0.912770i | \(0.366061\pi\) | |||||||
\(284\) | 0.0226445 | + | 3.06681i | 0.00134371 | + | 0.181982i | ||||
\(285\) | 0.371981 | − | 0.560397i | 0.0220342 | − | 0.0331951i | ||||
\(286\) | −0.651568 | + | 0.656397i | −0.0385280 | + | 0.0388135i | ||||
\(287\) | −17.4369 | − | 17.4369i | −1.02927 | − | 1.02927i | ||||
\(288\) | 0.303795 | + | 16.4559i | 0.0179013 | + | 0.969674i | ||||
\(289\) | − | 1.75596i | − | 0.103292i | ||||||
\(290\) | −4.15205 | − | 20.1627i | −0.243817 | − | 1.18399i | ||||
\(291\) | 1.10767i | 0.0649325i | ||||||||
\(292\) | −14.6739 | − | 14.4588i | −0.858727 | − | 0.846139i | ||||
\(293\) | 10.3132 | + | 10.3132i | 0.602501 | + | 0.602501i | 0.940976 | − | 0.338475i | \(-0.109911\pi\) |
−0.338475 | + | 0.940976i | \(0.609911\pi\) | |||||||
\(294\) | 2.12977 | + | 2.11411i | 0.124211 | + | 0.123297i | ||||
\(295\) | −9.69876 | + | 1.95994i | −0.564684 | + | 0.114112i | ||||
\(296\) | −19.2145 | + | 19.6449i | −1.11682 | + | 1.14184i | ||||
\(297\) | 2.56989 | − | 2.56989i | 0.149120 | − | 0.149120i | ||||
\(298\) | 0.0510362 | + | 13.8241i | 0.00295645 | + | 0.800809i | ||||
\(299\) | 2.44549 | 0.141426 | ||||||||
\(300\) | 1.11357 | − | 2.79433i | 0.0642919 | − | 0.161330i | ||||
\(301\) | −19.7541 | −1.13861 | ||||||||
\(302\) | 0.0220284 | + | 5.96680i | 0.00126759 | + | 0.343351i | ||||
\(303\) | 2.77598 | − | 2.77598i | 0.159476 | − | 0.159476i | ||||
\(304\) | 3.99956 | − | 0.0590668i | 0.229391 | − | 0.00338771i | ||||
\(305\) | 1.70454 | − | 0.344456i | 0.0976015 | − | 0.0197235i | ||||
\(306\) | −12.6470 | − | 12.5540i | −0.722982 | − | 0.717663i | ||||
\(307\) | 3.77726 | + | 3.77726i | 0.215579 | + | 0.215579i | 0.806633 | − | 0.591053i | \(-0.201288\pi\) |
−0.591053 | + | 0.806633i | \(0.701288\pi\) | |||||||
\(308\) | −10.7593 | + | 10.9193i | −0.613066 | + | 0.622187i | ||||
\(309\) | − | 5.29270i | − | 0.301091i | ||||||
\(310\) | 3.69226 | + | 17.9299i | 0.209706 | + | 1.01835i | ||||
\(311\) | − | 21.5006i | − | 1.21919i | −0.792715 | − | 0.609593i | \(-0.791333\pi\) | ||
0.792715 | − | 0.609593i | \(-0.208667\pi\) | |||||||
\(312\) | −0.272130 | + | 0.00301408i | −0.0154063 | + | 0.000170639i | ||||
\(313\) | −12.1932 | − | 12.1932i | −0.689200 | − | 0.689200i | 0.272855 | − | 0.962055i | \(-0.412032\pi\) |
−0.962055 | + | 0.272855i | \(0.912032\pi\) | |||||||
\(314\) | 12.0568 | − | 12.1462i | 0.680407 | − | 0.685449i | ||||
\(315\) | 13.4885 | − | 20.3207i | 0.759988 | − | 1.14494i | ||||
\(316\) | −33.0134 | + | 0.243762i | −1.85715 | + | 0.0137127i | ||||
\(317\) | 0.231233 | − | 0.231233i | 0.0129873 | − | 0.0129873i | −0.700583 | − | 0.713571i | \(-0.747077\pi\) |
0.713571 | + | 0.700583i | \(0.247077\pi\) | |||||||
\(318\) | −4.05985 | + | 0.0149883i | −0.227665 | + | 0.000840500i | ||||
\(319\) | −13.3095 | −0.745188 | ||||||||
\(320\) | 17.4513 | − | 3.93082i | 0.975559 | − | 0.219739i | ||||
\(321\) | −0.396283 | −0.0221183 | ||||||||
\(322\) | 40.5328 | − | 0.149640i | 2.25880 | − | 0.00833911i | ||||
\(323\) | −3.06235 | + | 3.06235i | −0.170394 | + | 0.170394i | ||||
\(324\) | −16.3872 | + | 0.120999i | −0.910402 | + | 0.00672218i | ||||
\(325\) | −1.48131 | − | 0.603031i | −0.0821685 | − | 0.0334501i | ||||
\(326\) | 16.2363 | − | 16.3567i | 0.899248 | − | 0.905912i | ||||
\(327\) | −4.30529 | − | 4.30529i | −0.238083 | − | 0.238083i | ||||
\(328\) | 18.6037 | − | 0.206052i | 1.02722 | − | 0.0113773i | ||||
\(329\) | 6.57997i | 0.362766i | ||||||||
\(330\) | −1.62429 | − | 1.06956i | −0.0894145 | − | 0.0588772i | ||||
\(331\) | − | 22.4492i | − | 1.23392i | −0.786994 | − | 0.616960i | \(-0.788364\pi\) | ||
0.786994 | − | 0.616960i | \(-0.211636\pi\) | |||||||
\(332\) | −8.53446 | + | 8.66143i | −0.468389 | + | 0.475358i | ||||
\(333\) | −19.9880 | − | 19.9880i | −1.09534 | − | 1.09534i | ||||
\(334\) | 5.16772 | + | 5.12970i | 0.282765 | + | 0.280685i | ||||
\(335\) | 13.4082 | + | 8.90009i | 0.732567 | + | 0.486264i | ||||
\(336\) | −4.51025 | + | 0.0666087i | −0.246054 | + | 0.00363380i | ||||
\(337\) | −4.72972 | + | 4.72972i | −0.257644 | + | 0.257644i | −0.824095 | − | 0.566451i | \(-0.808316\pi\) |
0.566451 | + | 0.824095i | \(0.308316\pi\) | |||||||
\(338\) | −0.0673387 | − | 18.2400i | −0.00366274 | − | 0.992123i | ||||
\(339\) | 1.28057 | 0.0695512 | ||||||||
\(340\) | −10.5917 | + | 16.2153i | −0.574417 | + | 0.879396i | ||||
\(341\) | 11.8356 | 0.640935 | ||||||||
\(342\) | 0.0151906 | + | 4.11465i | 0.000821412 | + | 0.222495i | ||||
\(343\) | 0.143898 | − | 0.143898i | 0.00776975 | − | 0.00776975i | ||||
\(344\) | 10.4212 | − | 10.6547i | 0.561875 | − | 0.574461i | ||||
\(345\) | 1.01858 | + | 5.04042i | 0.0548384 | + | 0.271367i | ||||
\(346\) | 2.06545 | + | 2.05026i | 0.111039 | + | 0.110223i | ||||
\(347\) | 25.6539 | + | 25.6539i | 1.37717 | + | 1.37717i | 0.849363 | + | 0.527809i | \(0.176986\pi\) |
0.527809 | + | 0.849363i | \(0.323014\pi\) | |||||||
\(348\) | −2.78964 | − | 2.74875i | −0.149541 | − | 0.147348i | ||||
\(349\) | 10.9773i | 0.587600i | 0.955867 | + | 0.293800i | \(0.0949199\pi\) | ||||
−0.955867 | + | 0.293800i | \(0.905080\pi\) | |||||||
\(350\) | −24.5890 | − | 9.90432i | −1.31434 | − | 0.529408i | ||||
\(351\) | − | 0.568604i | − | 0.0303499i | ||||||
\(352\) | −0.213478 | − | 11.5636i | −0.0113784 | − | 0.616345i | ||||
\(353\) | 20.5889 | + | 20.5889i | 1.09584 | + | 1.09584i | 0.994892 | + | 0.100947i | \(0.0321874\pi\) |
0.100947 | + | 0.994892i | \(0.467813\pi\) | |||||||
\(354\) | −1.32616 | + | 1.33599i | −0.0704847 | + | 0.0710071i | ||||
\(355\) | 0.679187 | + | 3.36095i | 0.0360475 | + | 0.178381i | ||||
\(356\) | 0.129092 | + | 17.4833i | 0.00684188 | + | 0.926613i | ||||
\(357\) | 3.45336 | − | 3.45336i | 0.182771 | − | 0.182771i | ||||
\(358\) | 3.10693 | − | 0.0114702i | 0.164207 | − | 0.000606221i | ||||
\(359\) | −21.8842 | −1.15500 | −0.577502 | − | 0.816390i | \(-0.695972\pi\) | ||||
−0.577502 | + | 0.816390i | \(0.695972\pi\) | |||||||
\(360\) | 3.84445 | + | 17.9953i | 0.202620 | + | 0.948437i | ||||
\(361\) | 1.00000 | 0.0526316 | ||||||||
\(362\) | −6.33948 | + | 0.0234042i | −0.333196 | + | 0.00123010i | ||||
\(363\) | 1.45059 | − | 1.45059i | 0.0761364 | − | 0.0761364i | ||||
\(364\) | 0.0177082 | + | 2.39827i | 0.000928162 | + | 0.125703i | ||||
\(365\) | −19.1894 | − | 12.7375i | −1.00442 | − | 0.666714i | ||||
\(366\) | 0.233070 | − | 0.234798i | 0.0121828 | − | 0.0122731i | ||||
\(367\) | −26.0801 | − | 26.0801i | −1.36137 | − | 1.36137i | −0.872175 | − | 0.489195i | \(-0.837291\pi\) |
−0.489195 | − | 0.872175i | \(-0.662709\pi\) | |||||||
\(368\) | −21.3023 | + | 21.9409i | −1.11046 | + | 1.14375i | ||||
\(369\) | 19.1382i | 0.996294i | ||||||||
\(370\) | −16.8962 | + | 25.6597i | −0.878394 | + | 1.33398i | ||||
\(371\) | 35.7783i | 1.85752i | ||||||||
\(372\) | 2.48072 | + | 2.44436i | 0.128620 | + | 0.126734i | ||||
\(373\) | −4.43315 | − | 4.43315i | −0.229540 | − | 0.229540i | 0.582961 | − | 0.812500i | \(-0.301894\pi\) |
−0.812500 | + | 0.582961i | \(0.801894\pi\) | |||||||
\(374\) | 8.88712 | + | 8.82174i | 0.459542 | + | 0.456161i | ||||
\(375\) | 0.625929 | − | 3.30433i | 0.0323228 | − | 0.170635i | ||||
\(376\) | −3.54901 | − | 3.47125i | −0.183026 | − | 0.179016i | ||||
\(377\) | −1.47240 | + | 1.47240i | −0.0758327 | + | 0.0758327i | ||||
\(378\) | −0.0347931 | − | 9.42436i | −0.00178956 | − | 0.484737i | ||||
\(379\) | −25.3291 | −1.30107 | −0.650534 | − | 0.759477i | \(-0.725455\pi\) | ||||
−0.650534 | + | 0.759477i | \(0.725455\pi\) | |||||||
\(380\) | 4.37687 | − | 0.918173i | 0.224529 | − | 0.0471013i | ||||
\(381\) | −2.61318 | −0.133877 | ||||||||
\(382\) | −0.0332075 | − | 8.99486i | −0.00169904 | − | 0.460217i | ||||
\(383\) | −22.1823 | + | 22.1823i | −1.13346 | + | 1.13346i | −0.143867 | + | 0.989597i | \(0.545954\pi\) |
−0.989597 | + | 0.143867i | \(0.954046\pi\) | |||||||
\(384\) | 2.34345 | − | 2.46781i | 0.119588 | − | 0.125935i | ||||
\(385\) | −9.47841 | + | 14.2794i | −0.483064 | + | 0.727747i | ||||
\(386\) | −19.3010 | − | 19.1590i | −0.982393 | − | 0.975166i | ||||
\(387\) | 10.8407 | + | 10.8407i | 0.551066 | + | 0.551066i | ||||
\(388\) | −5.16904 | + | 5.24594i | −0.262418 | + | 0.266322i | ||||
\(389\) | − | 26.6415i | − | 1.35078i | −0.737462 | − | 0.675388i | \(-0.763976\pi\) | ||
0.737462 | − | 0.675388i | \(-0.236024\pi\) | |||||||
\(390\) | −0.298016 | + | 0.0613696i | −0.0150906 | + | 0.00310757i | ||||
\(391\) | − | 33.1100i | − | 1.67445i | ||||||
\(392\) | 0.220978 | + | 19.9513i | 0.0111611 | + | 1.00769i | ||||
\(393\) | 1.76545 | + | 1.76545i | 0.0890552 | + | 0.0890552i | ||||
\(394\) | 10.2608 | − | 10.3368i | 0.516932 | − | 0.520763i | ||||
\(395\) | −36.1797 | + | 7.31126i | −1.82040 | + | 0.367870i | ||||
\(396\) | 11.8969 | − | 0.0878435i | 0.597841 | − | 0.00441430i | ||||
\(397\) | −20.3538 | + | 20.3538i | −1.02153 | + | 1.02153i | −0.0217671 | + | 0.999763i | \(0.506929\pi\) |
−0.999763 | + | 0.0217671i | \(0.993071\pi\) | |||||||
\(398\) | 29.8562 | − | 0.110224i | 1.49656 | − | 0.00552503i | ||||
\(399\) | −1.12768 | −0.0564548 | ||||||||
\(400\) | 18.3139 | − | 8.03744i | 0.915696 | − | 0.401872i | ||||
\(401\) | −22.5998 | −1.12858 | −0.564289 | − | 0.825577i | \(-0.690850\pi\) | ||||
−0.564289 | + | 0.825577i | \(0.690850\pi\) | |||||||
\(402\) | 3.06163 | − | 0.0113030i | 0.152700 | − | 0.000563742i | ||||
\(403\) | 1.30935 | − | 1.30935i | 0.0652236 | − | 0.0652236i | ||||
\(404\) | 26.1016 | − | 0.192727i | 1.29860 | − | 0.00958854i | ||||
\(405\) | −17.9590 | + | 3.62918i | −0.892388 | + | 0.180335i | ||||
\(406\) | −24.3143 | + | 24.4945i | −1.20670 | + | 1.21564i | ||||
\(407\) | 14.0457 | + | 14.0457i | 0.696217 | + | 0.696217i | ||||
\(408\) | 0.0408084 | + | 3.68444i | 0.00202032 | + | 0.182407i | ||||
\(409\) | 3.50326i | 0.173225i | 0.996242 | + | 0.0866126i | \(0.0276042\pi\) | ||||
−0.996242 | + | 0.0866126i | \(0.972396\pi\) | |||||||
\(410\) | 20.3733 | − | 4.19542i | 1.00617 | − | 0.207197i | ||||
\(411\) | − | 1.34495i | − | 0.0663416i | ||||||
\(412\) | 24.6990 | − | 25.0664i | 1.21683 | − | 1.23493i | ||||
\(413\) | 11.7304 | + | 11.7304i | 0.577214 | + | 0.577214i | ||||
\(414\) | −22.3259 | − | 22.1616i | −1.09726 | − | 1.08918i | ||||
\(415\) | −7.51846 | + | 11.3267i | −0.369066 | + | 0.556007i | ||||
\(416\) | −1.30288 | − | 1.25565i | −0.0638791 | − | 0.0615633i | ||||
\(417\) | 3.61396 | − | 3.61396i | 0.176976 | − | 0.176976i | ||||
\(418\) | −0.0106745 | − | 2.89139i | −0.000522106 | − | 0.141422i | ||||
\(419\) | −12.6029 | −0.615691 | −0.307846 | − | 0.951436i | \(-0.599608\pi\) | ||||
−0.307846 | + | 0.951436i | \(0.599608\pi\) | |||||||
\(420\) | −4.93573 | + | 1.03541i | −0.240839 | + | 0.0505228i | ||||
\(421\) | −38.3993 | −1.87147 | −0.935735 | − | 0.352704i | \(-0.885262\pi\) | ||||
−0.935735 | + | 0.352704i | \(0.885262\pi\) | |||||||
\(422\) | 0.0702346 | + | 19.0244i | 0.00341897 | + | 0.926092i | ||||
\(423\) | 3.61098 | − | 3.61098i | 0.175572 | − | 0.175572i | ||||
\(424\) | −19.2975 | − | 18.8748i | −0.937172 | − | 0.916639i | ||||
\(425\) | −8.16459 | + | 20.0559i | −0.396041 | + | 0.972853i | ||||
\(426\) | 0.462966 | + | 0.459560i | 0.0224308 | + | 0.0222658i | ||||
\(427\) | −2.06159 | − | 2.06159i | −0.0997673 | − | 0.0997673i | ||||
\(428\) | −1.87681 | − | 1.84930i | −0.0907190 | − | 0.0893891i | ||||
\(429\) | 0.196722i | 0.00949781i | ||||||||
\(430\) | 9.16389 | − | 13.9168i | 0.441922 | − | 0.671130i | ||||
\(431\) | 22.0058i | 1.05998i | 0.848003 | + | 0.529992i | \(0.177805\pi\) | ||||
−0.848003 | + | 0.529992i | \(0.822195\pi\) | |||||||
\(432\) | 5.10152 | + | 4.95303i | 0.245447 | + | 0.238303i | ||||
\(433\) | 24.6830 | + | 24.6830i | 1.18619 | + | 1.18619i | 0.978112 | + | 0.208077i | \(0.0667205\pi\) |
0.208077 | + | 0.978112i | \(0.433279\pi\) | |||||||
\(434\) | 21.6218 | − | 21.7821i | 1.03788 | − | 1.04557i | ||||
\(435\) | −3.64807 | − | 2.42152i | −0.174912 | − | 0.116103i | ||||
\(436\) | −0.298902 | − | 40.4811i | −0.0143148 | − | 1.93869i | ||||
\(437\) | −5.40599 | + | 5.40599i | −0.258604 | + | 0.258604i | ||||
\(438\) | −4.38171 | + | 0.0161765i | −0.209366 | + | 0.000772944i | ||||
\(439\) | 14.9623 | 0.714113 | 0.357056 | − | 0.934083i | \(-0.383780\pi\) | ||||
0.357056 | + | 0.934083i | \(0.383780\pi\) | |||||||
\(440\) | −2.70151 | − | 12.6454i | −0.128790 | − | 0.602846i | ||||
\(441\) | −20.5246 | −0.977360 | ||||||||
\(442\) | 1.95910 | − | 0.00723265i | 0.0931849 | − | 0.000344022i | ||||
\(443\) | −4.16446 | + | 4.16446i | −0.197859 | + | 0.197859i | −0.799082 | − | 0.601222i | \(-0.794681\pi\) |
0.601222 | + | 0.799082i | \(0.294681\pi\) | |||||||
\(444\) | 0.0431560 | + | 5.84473i | 0.00204809 | + | 0.277379i | ||||
\(445\) | 3.87192 | + | 19.1602i | 0.183547 | + | 0.908279i | ||||
\(446\) | −2.66135 | + | 2.68107i | −0.126019 | + | 0.126953i | ||||
\(447\) | 2.07919 | + | 2.07919i | 0.0983422 | + | 0.0983422i | ||||
\(448\) | −21.6715 | − | 20.7321i | −1.02388 | − | 0.979499i | ||||
\(449\) | − | 4.32706i | − | 0.204207i | −0.994774 | − | 0.102103i | \(-0.967443\pi\) | ||
0.994774 | − | 0.102103i | \(-0.0325572\pi\) | |||||||
\(450\) | 8.05872 | + | 18.9294i | 0.379892 | + | 0.892340i | ||||
\(451\) | − | 13.4485i | − | 0.633265i | ||||||
\(452\) | 6.06484 | + | 5.97593i | 0.285266 | + | 0.281084i | ||||
\(453\) | 0.897424 | + | 0.897424i | 0.0421646 | + | 0.0421646i | ||||
\(454\) | −2.07871 | − | 2.06342i | −0.0975589 | − | 0.0968412i | ||||
\(455\) | 0.531129 | + | 2.62829i | 0.0248997 | + | 0.123216i | ||||
\(456\) | 0.594908 | − | 0.608234i | 0.0278591 | − | 0.0284831i | ||||
\(457\) | 11.1732 | − | 11.1732i | 0.522659 | − | 0.522659i | −0.395714 | − | 0.918374i | \(-0.629503\pi\) |
0.918374 | + | 0.395714i | \(0.129503\pi\) | |||||||
\(458\) | −0.0161263 | − | 4.36810i | −0.000753530 | − | 0.204108i | ||||
\(459\) | −7.69848 | −0.359334 | ||||||||
\(460\) | −18.6977 | + | 28.6249i | −0.871783 | + | 1.33464i | ||||
\(461\) | −28.2155 | −1.31413 | −0.657064 | − | 0.753835i | \(-0.728202\pi\) | ||||
−0.657064 | + | 0.753835i | \(0.728202\pi\) | |||||||
\(462\) | 0.0120375 | + | 3.26057i | 0.000560033 | + | 0.151695i | ||||
\(463\) | 23.1500 | − | 23.1500i | 1.07587 | − | 1.07587i | 0.0789948 | − | 0.996875i | \(-0.474829\pi\) |
0.996875 | − | 0.0789948i | \(-0.0251710\pi\) | |||||||
\(464\) | −0.384512 | − | 26.0363i | −0.0178505 | − | 1.20871i | ||||
\(465\) | 3.24409 | + | 2.15336i | 0.150441 | + | 0.0998599i | ||||
\(466\) | 0.390840 | + | 0.387964i | 0.0181053 | + | 0.0179721i | ||||
\(467\) | 12.5001 | + | 12.5001i | 0.578435 | + | 0.578435i | 0.934472 | − | 0.356037i | \(-0.115872\pi\) |
−0.356037 | + | 0.934472i | \(0.615872\pi\) | |||||||
\(468\) | 1.30641 | − | 1.32585i | 0.0603889 | − | 0.0612874i | ||||
\(469\) | − | 26.9812i | − | 1.24588i | ||||||
\(470\) | −4.63561 | − | 3.05244i | −0.213825 | − | 0.140798i | ||||
\(471\) | − | 3.64021i | − | 0.167732i | ||||||
\(472\) | −12.5153 | + | 0.138618i | −0.576063 | + | 0.00638040i | ||||
\(473\) | −7.61784 | − | 7.61784i | −0.350269 | − | 0.350269i | ||||
\(474\) | −4.94704 | + | 4.98370i | −0.227225 | + | 0.228909i | ||||
\(475\) | 4.60765 | − | 1.94153i | 0.211414 | − | 0.0890836i | ||||
\(476\) | 32.4707 | − | 0.239756i | 1.48829 | − | 0.0109892i | ||||
\(477\) | 19.6345 | − | 19.6345i | 0.899004 | − | 0.899004i | ||||
\(478\) | 3.61044 | − | 0.0133291i | 0.165137 | − | 0.000609658i | ||||
\(479\) | −18.1663 | −0.830040 | −0.415020 | − | 0.909812i | \(-0.636225\pi\) | ||||
−0.415020 | + | 0.909812i | \(0.636225\pi\) | |||||||
\(480\) | 2.04537 | − | 3.20839i | 0.0933579 | − | 0.146442i | ||||
\(481\) | 3.10769 | 0.141699 | ||||||||
\(482\) | −15.3709 | + | 0.0567465i | −0.700123 | + | 0.00258473i | ||||
\(483\) | 6.09625 | − | 6.09625i | 0.277389 | − | 0.277389i | ||||
\(484\) | 13.6394 | − | 0.100710i | 0.619973 | − | 0.00457772i | ||||
\(485\) | −4.55368 | + | 6.86022i | −0.206772 | + | 0.311506i | ||||
\(486\) | −7.76871 | + | 7.82629i | −0.352396 | + | 0.355008i | ||||
\(487\) | −23.4493 | − | 23.4493i | −1.06259 | − | 1.06259i | −0.997906 | − | 0.0646845i | \(-0.979396\pi\) |
−0.0646845 | − | 0.997906i | \(-0.520604\pi\) | |||||||
\(488\) | 2.19954 | − | 0.0243618i | 0.0995684 | − | 0.00110281i | ||||
\(489\) | − | 4.90209i | − | 0.221680i | ||||||
\(490\) | 4.49933 | + | 21.8491i | 0.203259 | + | 0.987044i | ||||
\(491\) | − | 1.07295i | − | 0.0484217i | −0.999707 | − | 0.0242108i | \(-0.992293\pi\) | ||
0.999707 | − | 0.0242108i | \(-0.00770731\pi\) | |||||||
\(492\) | 2.77746 | − | 2.81878i | 0.125218 | − | 0.127080i | ||||
\(493\) | 19.9353 | + | 19.9353i | 0.897839 | + | 0.897839i | ||||
\(494\) | −0.321050 | − | 0.318688i | −0.0144447 | − | 0.0143384i | ||||
\(495\) | 13.0379 | − | 2.63473i | 0.586011 | − | 0.118422i | ||||
\(496\) | 0.341932 | + | 23.1531i | 0.0153532 | + | 1.03961i | ||||
\(497\) | 4.06497 | − | 4.06497i | 0.182339 | − | 0.182339i | ||||
\(498\) | 0.00954834 | + | 2.58635i | 0.000427871 | + | 0.115897i | ||||
\(499\) | −17.3943 | −0.778674 | −0.389337 | − | 0.921095i | \(-0.627296\pi\) | ||||
−0.389337 | + | 0.921095i | \(0.627296\pi\) | |||||||
\(500\) | 18.3844 | − | 12.7284i | 0.822176 | − | 0.569233i | ||||
\(501\) | 1.54876 | 0.0691936 | ||||||||
\(502\) | 0.114525 | + | 31.0213i | 0.00511151 | + | 1.38455i | ||||
\(503\) | 20.5398 | − | 20.5398i | 0.915826 | − | 0.915826i | −0.0808962 | − | 0.996723i | \(-0.525778\pi\) |
0.996723 | + | 0.0808962i | \(0.0257782\pi\) | |||||||
\(504\) | 21.5721 | − | 22.0553i | 0.960896 | − | 0.982420i | ||||
\(505\) | 28.6050 | − | 5.78055i | 1.27291 | − | 0.257231i | ||||
\(506\) | 15.6885 | + | 15.5731i | 0.697439 | + | 0.692308i | ||||
\(507\) | −2.74334 | − | 2.74334i | −0.121836 | − | 0.121836i | ||||
\(508\) | −12.3761 | − | 12.1947i | −0.549101 | − | 0.541051i | ||||
\(509\) | 31.2945i | 1.38710i | 0.720406 | + | 0.693552i | \(0.243955\pi\) | ||||
−0.720406 | + | 0.693552i | \(0.756045\pi\) | |||||||
\(510\) | 0.830899 | + | 4.03492i | 0.0367928 | + | 0.178669i | ||||
\(511\) | 38.6147i | 1.70822i | ||||||||
\(512\) | 22.6149 | − | 0.751686i | 0.999448 | − | 0.0332201i | ||||
\(513\) | 1.25696 | + | 1.25696i | 0.0554960 | + | 0.0554960i | ||||
\(514\) | −12.5383 | + | 12.6313i | −0.553043 | + | 0.557141i | ||||
\(515\) | 21.7586 | − | 32.7798i | 0.958799 | − | 1.44445i | ||||
\(516\) | −0.0234062 | − | 3.16996i | −0.00103040 | − | 0.139550i | ||||
\(517\) | −2.53746 | + | 2.53746i | −0.111597 | + | 0.111597i | ||||
\(518\) | 51.5086 | − | 0.190161i | 2.26316 | − | 0.00835518i | ||||
\(519\) | 0.619015 | 0.0271717 | ||||||||
\(520\) | −1.69780 | − | 1.10008i | −0.0744536 | − | 0.0482415i | ||||
\(521\) | 17.9538 | 0.786572 | 0.393286 | − | 0.919416i | \(-0.371338\pi\) | ||||
0.393286 | + | 0.919416i | \(0.371338\pi\) | |||||||
\(522\) | 26.7855 | − | 0.0988874i | 1.17237 | − | 0.00432818i | ||||
\(523\) | −5.14238 | + | 5.14238i | −0.224861 | + | 0.224861i | −0.810542 | − | 0.585681i | \(-0.800827\pi\) |
0.585681 | + | 0.810542i | \(0.300827\pi\) | |||||||
\(524\) | 0.122569 | + | 16.5999i | 0.00535447 | + | 0.725170i | ||||
\(525\) | −5.19598 | + | 2.18944i | −0.226771 | + | 0.0955548i | ||||
\(526\) | 22.6020 | − | 22.7695i | 0.985493 | − | 0.992796i | ||||
\(527\) | −17.7277 | − | 17.7277i | −0.772230 | − | 0.772230i | ||||
\(528\) | −1.76499 | − | 1.71362i | −0.0768112 | − | 0.0745755i | ||||
\(529\) | − | 35.4494i | − | 1.54128i | ||||||
\(530\) | −25.2059 | − | 16.5975i | −1.09488 | − | 0.720948i | ||||
\(531\) | − | 12.8749i | − | 0.558723i | ||||||
\(532\) | −5.34075 | − | 5.26246i | −0.231551 | − | 0.228157i | ||||
\(533\) | −1.48778 | − | 1.48778i | −0.0644431 | − | 0.0644431i | ||||
\(534\) | 2.63928 | + | 2.61987i | 0.114213 | + | 0.113373i | ||||
\(535\) | −2.45434 | − | 1.62914i | −0.106110 | − | 0.0704339i | ||||
\(536\) | 14.5527 | + | 14.2339i | 0.628582 | + | 0.614810i | ||||
\(537\) | 0.467292 | − | 0.467292i | 0.0201651 | − | 0.0201651i | ||||
\(538\) | 0.0363655 | + | 9.85029i | 0.00156783 | + | 0.424676i | ||||
\(539\) | 14.4227 | 0.621230 | ||||||||
\(540\) | 6.65563 | + | 4.34743i | 0.286413 | + | 0.187084i | ||||
\(541\) | 19.3237 | 0.830792 | 0.415396 | − | 0.909641i | \(-0.363643\pi\) | ||||
0.415396 | + | 0.909641i | \(0.363643\pi\) | |||||||
\(542\) | −0.0377776 | − | 10.2328i | −0.00162269 | − | 0.439536i | ||||
\(543\) | −0.953477 | + | 0.953477i | −0.0409176 | + | 0.0409176i | ||||
\(544\) | −17.0006 | + | 17.6401i | −0.728893 | + | 0.756311i | ||||
\(545\) | −8.96509 | − | 44.3637i | −0.384022 | − | 1.90033i | ||||
\(546\) | 0.362043 | + | 0.359380i | 0.0154940 | + | 0.0153800i | ||||
\(547\) | −18.3764 | − | 18.3764i | −0.785719 | − | 0.785719i | 0.195071 | − | 0.980789i | \(-0.437506\pi\) |
−0.980789 | + | 0.195071i | \(0.937506\pi\) | |||||||
\(548\) | 6.27636 | − | 6.36974i | 0.268113 | − | 0.272102i | ||||
\(549\) | 2.26274i | 0.0965712i | ||||||||
\(550\) | −5.66290 | − | 13.3018i | −0.241467 | − | 0.567189i | ||||
\(551\) | − | 6.50979i | − | 0.277326i | ||||||
\(552\) | 0.0720394 | + | 6.50417i | 0.00306620 | + | 0.276836i | ||||
\(553\) | 43.7583 | + | 43.7583i | 1.86079 | + | 1.86079i | ||||
\(554\) | −21.2987 | + | 21.4565i | −0.904895 | + | 0.911601i | ||||
\(555\) | 1.29440 | + | 6.40531i | 0.0549441 | + | 0.271890i | ||||
\(556\) | 33.9808 | − | 0.250905i | 1.44110 | − | 0.0106408i | ||||
\(557\) | 22.1345 | − | 22.1345i | 0.937870 | − | 0.937870i | −0.0603095 | − | 0.998180i | \(-0.519209\pi\) |
0.998180 | + | 0.0603095i | \(0.0192088\pi\) | |||||||
\(558\) | −23.8194 | + | 0.0879369i | −1.00835 | + | 0.00372266i | ||||
\(559\) | −1.68550 | −0.0712889 | ||||||||
\(560\) | −28.2076 | − | 18.1294i | −1.19199 | − | 0.766105i | ||||
\(561\) | 2.66346 | 0.112452 | ||||||||
\(562\) | 14.1555 | − | 0.0522597i | 0.597114 | − | 0.00220444i | ||||
\(563\) | 4.11064 | − | 4.11064i | 0.173243 | − | 0.173243i | −0.615160 | − | 0.788403i | \(-0.710908\pi\) |
0.788403 | + | 0.615160i | \(0.210908\pi\) | |||||||
\(564\) | −1.05590 | + | 0.00779647i | −0.0444612 | + | 0.000328291i | ||||
\(565\) | 7.93111 | + | 5.26451i | 0.333664 | + | 0.221480i | ||||
\(566\) | −11.9532 | + | 12.0418i | −0.502430 | + | 0.506154i | ||||
\(567\) | 21.7209 | + | 21.7209i | 0.912190 | + | 0.912190i | ||||
\(568\) | 0.0480358 | + | 4.33697i | 0.00201554 | + | 0.181975i | ||||
\(569\) | − | 21.3698i | − | 0.895869i | −0.894066 | − | 0.447934i | \(-0.852160\pi\) | ||
0.894066 | − | 0.447934i | \(-0.147840\pi\) | |||||||
\(570\) | 0.523131 | − | 0.794458i | 0.0219115 | − | 0.0332762i | ||||
\(571\) | − | 17.7556i | − | 0.743049i | −0.928423 | − | 0.371524i | \(-0.878835\pi\) | ||
0.928423 | − | 0.371524i | \(-0.121165\pi\) | |||||||
\(572\) | −0.918023 | + | 0.931680i | −0.0383845 | + | 0.0389555i | ||||
\(573\) | −1.35285 | − | 1.35285i | −0.0565163 | − | 0.0565163i | ||||
\(574\) | −24.7504 | − | 24.5683i | −1.03306 | − | 1.02546i | ||||
\(575\) | −14.4130 | + | 35.4048i | −0.601064 | + | 1.47648i | ||||
\(576\) | 0.515544 | + | 23.2704i | 0.0214810 | + | 0.969601i | ||||
\(577\) | 15.8282 | − | 15.8282i | 0.658936 | − | 0.658936i | −0.296193 | − | 0.955128i | \(-0.595717\pi\) |
0.955128 | + | 0.296193i | \(0.0957170\pi\) | |||||||
\(578\) | −0.00916785 | − | 2.48329i | −0.000381332 | − | 0.103291i | ||||
\(579\) | −5.78449 | −0.240395 | ||||||||
\(580\) | −5.97711 | − | 28.4925i | −0.248186 | − | 1.18309i | ||||
\(581\) | 22.7927 | 0.945601 | ||||||||
\(582\) | 0.00578311 | + | 1.56646i | 0.000239718 | + | 0.0649320i | ||||
\(583\) | −13.7973 | + | 13.7973i | −0.571425 | + | 0.571425i | ||||
\(584\) | −20.8274 | − | 20.3711i | −0.861845 | − | 0.842963i | ||||
\(585\) | 1.15089 | − | 1.73384i | 0.0475833 | − | 0.0716854i | ||||
\(586\) | 14.6387 | + | 14.5311i | 0.604721 | + | 0.600272i | ||||
\(587\) | 5.07211 | + | 5.07211i | 0.209348 | + | 0.209348i | 0.803991 | − | 0.594642i | \(-0.202706\pi\) |
−0.594642 | + | 0.803991i | \(0.702706\pi\) | |||||||
\(588\) | 3.02297 | + | 2.97866i | 0.124665 | + | 0.122838i | ||||
\(589\) | 5.78891i | 0.238528i | ||||||||
\(590\) | −13.7058 | + | 2.82240i | −0.564259 | + | 0.116196i | ||||
\(591\) | − | 3.09795i | − | 0.127433i | ||||||
\(592\) | −27.0707 | + | 27.8822i | −1.11260 | + | 1.14595i | ||||
\(593\) | 14.6665 | + | 14.6665i | 0.602280 | + | 0.602280i | 0.940917 | − | 0.338637i | \(-0.109966\pi\) |
−0.338637 | + | 0.940917i | \(0.609966\pi\) | |||||||
\(594\) | 3.62093 | − | 3.64776i | 0.148569 | − | 0.149670i | ||||
\(595\) | 35.5851 | − | 7.19109i | 1.45884 | − | 0.294806i | ||||
\(596\) | 0.144351 | + | 19.5498i | 0.00591285 | + | 0.800793i | ||||
\(597\) | 4.49047 | − | 4.49047i | 0.183783 | − | 0.183783i | ||||
\(598\) | 3.45842 | − | 0.0127679i | 0.141425 | − | 0.000522117i | ||||
\(599\) | −10.7934 | −0.441005 | −0.220502 | − | 0.975386i | \(-0.570770\pi\) | ||||
−0.220502 | + | 0.975386i | \(0.570770\pi\) | |||||||
\(600\) | 1.56022 | − | 3.95756i | 0.0636959 | − | 0.161567i | ||||
\(601\) | −8.15596 | −0.332688 | −0.166344 | − | 0.986068i | \(-0.553196\pi\) | ||||
−0.166344 | + | 0.986068i | \(0.553196\pi\) | |||||||
\(602\) | −27.9363 | + | 0.103136i | −1.13860 | + | 0.00420351i | ||||
\(603\) | −14.8069 | + | 14.8069i | −0.602982 | + | 0.602982i | ||||
\(604\) | 0.0623052 | + | 8.43815i | 0.00253516 | + | 0.343344i | ||||
\(605\) | 14.9476 | − | 3.02063i | 0.607706 | − | 0.122806i | ||||
\(606\) | 3.91131 | − | 3.94030i | 0.158886 | − | 0.160064i | ||||
\(607\) | 33.9049 | + | 33.9049i | 1.37616 | + | 1.37616i | 0.851011 | + | 0.525148i | \(0.175990\pi\) |
0.525148 | + | 0.851011i | \(0.324010\pi\) | |||||||
\(608\) | 5.65589 | − | 0.104414i | 0.229377 | − | 0.00423455i | ||||
\(609\) | 7.34099i | 0.297472i | ||||||||
\(610\) | 2.40877 | − | 0.496030i | 0.0975280 | − | 0.0200837i | ||||
\(611\) | 0.561429i | 0.0227130i | ||||||||
\(612\) | −17.9510 | − | 17.6879i | −0.725626 | − | 0.714989i | ||||
\(613\) | −8.50562 | − | 8.50562i | −0.343539 | − | 0.343539i | 0.514157 | − | 0.857696i | \(-0.328105\pi\) |
−0.857696 | + | 0.514157i | \(0.828105\pi\) | |||||||
\(614\) | 5.36153 | + | 5.32209i | 0.216374 | + | 0.214782i | ||||
\(615\) | 2.44681 | − | 3.68617i | 0.0986649 | − | 0.148641i | ||||
\(616\) | −15.1588 | + | 15.4983i | −0.610765 | + | 0.624446i | ||||
\(617\) | −22.6320 | + | 22.6320i | −0.911129 | + | 0.911129i | −0.996361 | − | 0.0852322i | \(-0.972837\pi\) |
0.0852322 | + | 0.996361i | \(0.472837\pi\) | |||||||
\(618\) | −0.0276331 | − | 7.48496i | −0.00111157 | − | 0.301089i | ||||
\(619\) | 14.5559 | 0.585051 | 0.292525 | − | 0.956258i | \(-0.405504\pi\) | ||||
0.292525 | + | 0.956258i | \(0.405504\pi\) | |||||||
\(620\) | 5.31522 | + | 25.3373i | 0.213464 | + | 1.01757i | ||||
\(621\) | −13.5902 | −0.545355 | ||||||||
\(622\) | −0.112254 | − | 30.4062i | −0.00450099 | − | 1.21918i | ||||
\(623\) | 23.1737 | − | 23.1737i | 0.928433 | − | 0.928433i | ||||
\(624\) | −0.384832 | + | 0.00568331i | −0.0154056 | + | 0.000227515i | ||||
\(625\) | 17.4609 | − | 17.8918i | 0.698436 | − | 0.715672i | ||||
\(626\) | −17.3073 | − | 17.1800i | −0.691740 | − | 0.686651i | ||||
\(627\) | −0.434873 | − | 0.434873i | −0.0173671 | − | 0.0173671i | ||||
\(628\) | 16.9874 | − | 17.2401i | 0.677872 | − | 0.687956i | ||||
\(629\) | − | 42.0758i | − | 1.67767i | ||||||
\(630\) | 18.9693 | − | 28.8080i | 0.755756 | − | 1.14774i | ||||
\(631\) | 29.4769i | 1.17346i | 0.809784 | + | 0.586728i | \(0.199584\pi\) | ||||
−0.809784 | + | 0.586728i | \(0.800416\pi\) | |||||||
\(632\) | −46.6864 | + | 0.517092i | −1.85708 | + | 0.0205688i | ||||
\(633\) | 2.86132 | + | 2.86132i | 0.113727 | + | 0.113727i | ||||
\(634\) | 0.325803 | − | 0.328218i | 0.0129393 | − | 0.0130352i | ||||
\(635\) | −16.1845 | − | 10.7429i | −0.642261 | − | 0.426320i | ||||
\(636\) | −5.74138 | + | 0.0423929i | −0.227661 | + | 0.00168099i | ||||
\(637\) | 1.59556 | − | 1.59556i | 0.0632183 | − | 0.0632183i | ||||
\(638\) | −18.8223 | + | 0.0694887i | −0.745183 | + | 0.00275108i | ||||
\(639\) | −4.46159 | −0.176498 | ||||||||
\(640\) | 24.6592 | − | 5.65009i | 0.974741 | − | 0.223339i | ||||
\(641\) | 12.2729 | 0.484749 | 0.242374 | − | 0.970183i | \(-0.422074\pi\) | ||||
0.242374 | + | 0.970183i | \(0.422074\pi\) | |||||||
\(642\) | −0.560425 | + | 0.00206899i | −0.0221182 | + | 8.16565e-5i | ||||
\(643\) | 8.55592 | − | 8.55592i | 0.337413 | − | 0.337413i | −0.517980 | − | 0.855393i | \(-0.673316\pi\) |
0.855393 | + | 0.517980i | \(0.173316\pi\) | |||||||
\(644\) | 57.3209 | − | 0.423243i | 2.25876 | − | 0.0166781i | ||||
\(645\) | −0.702032 | − | 3.47400i | −0.0276425 | − | 0.136789i | ||||
\(646\) | −4.31480 | + | 4.34677i | −0.169763 | + | 0.171022i | ||||
\(647\) | 27.5524 | + | 27.5524i | 1.08320 | + | 1.08320i | 0.996209 | + | 0.0869883i | \(0.0277243\pi\) |
0.0869883 | + | 0.996209i | \(0.472276\pi\) | |||||||
\(648\) | −23.1743 | + | 0.256675i | −0.910371 | + | 0.0100832i | ||||
\(649\) | 9.04725i | 0.355136i | ||||||||
\(650\) | −2.09803 | − | 0.845075i | −0.0822914 | − | 0.0331466i | ||||
\(651\) | − | 6.52807i | − | 0.255855i | ||||||
\(652\) | 22.8761 | − | 23.2164i | 0.895898 | − | 0.909226i | ||||
\(653\) | 9.19195 | + | 9.19195i | 0.359709 | + | 0.359709i | 0.863706 | − | 0.503997i | \(-0.168138\pi\) |
−0.503997 | + | 0.863706i | \(0.668138\pi\) | |||||||
\(654\) | −6.11103 | − | 6.06608i | −0.238960 | − | 0.237202i | ||||
\(655\) | 3.67628 | + | 18.1920i | 0.143644 | + | 0.710821i | ||||
\(656\) | 26.3083 | − | 0.388529i | 1.02717 | − | 0.0151695i | ||||
\(657\) | 21.1912 | − | 21.1912i | 0.826746 | − | 0.826746i | ||||
\(658\) | 0.0343540 | + | 9.30542i | 0.00133926 | + | 0.362763i | ||||
\(659\) | 1.02222 | 0.0398199 | 0.0199099 | − | 0.999802i | \(-0.493662\pi\) | ||||
0.0199099 | + | 0.999802i | \(0.493662\pi\) | |||||||
\(660\) | −2.30267 | − | 1.50409i | −0.0896312 | − | 0.0585467i | ||||
\(661\) | −8.72455 | −0.339346 | −0.169673 | − | 0.985500i | \(-0.554271\pi\) | ||||
−0.169673 | + | 0.985500i | \(0.554271\pi\) | |||||||
\(662\) | −0.117207 | − | 31.7478i | −0.00455539 | − | 1.23391i | ||||
\(663\) | 0.294654 | − | 0.294654i | 0.0114434 | − | 0.0114434i | ||||
\(664\) | −12.0242 | + | 12.2936i | −0.466631 | + | 0.477084i | ||||
\(665\) | −6.98421 | − | 4.63598i | −0.270836 | − | 0.179776i | ||||
\(666\) | −28.3715 | − | 28.1627i | −1.09937 | − | 1.09128i | ||||
\(667\) | 35.1919 | + | 35.1919i | 1.36263 | + | 1.36263i | ||||
\(668\) | 7.33499 | + | 7.22746i | 0.283799 | + | 0.279639i | ||||
\(669\) | 0.803516i | 0.0310657i | ||||||||
\(670\) | 19.0084 | + | 12.5165i | 0.734358 | + | 0.483556i | ||||
\(671\) | − | 1.59004i | − | 0.0613826i | ||||||
\(672\) | −6.37806 | + | 0.117746i | −0.246039 | + | 0.00454216i | ||||
\(673\) | −15.8449 | − | 15.8449i | −0.610777 | − | 0.610777i | 0.332372 | − | 0.943148i | \(-0.392151\pi\) |
−0.943148 | + | 0.332372i | \(0.892151\pi\) | |||||||
\(674\) | −6.66409 | + | 6.71348i | −0.256691 | + | 0.258594i | ||||
\(675\) | 8.23204 | + | 3.35120i | 0.316851 | + | 0.128988i | ||||
\(676\) | −0.190461 | − | 25.7947i | −0.00732543 | − | 0.992102i | ||||
\(677\) | −19.7428 | + | 19.7428i | −0.758777 | + | 0.758777i | −0.976100 | − | 0.217323i | \(-0.930268\pi\) |
0.217323 | + | 0.976100i | \(0.430268\pi\) | |||||||
\(678\) | 1.81099 | − | 0.00668587i | 0.0695507 | − | 0.000256769i | ||||
\(679\) | 13.8048 | 0.529779 | ||||||||
\(680\) | −14.8942 | + | 22.9870i | −0.571167 | + | 0.881510i | ||||
\(681\) | −0.622990 | −0.0238730 | ||||||||
\(682\) | 16.7380 | − | 0.0617937i | 0.640930 | − | 0.00236620i | ||||
\(683\) | −25.7242 | + | 25.7242i | −0.984311 | + | 0.984311i | −0.999879 | − | 0.0155682i | \(-0.995044\pi\) |
0.0155682 | + | 0.999879i | \(0.495044\pi\) | |||||||
\(684\) | 0.0429651 | + | 5.81888i | 0.00164281 | + | 0.222490i | ||||
\(685\) | 5.52918 | − | 8.32983i | 0.211259 | − | 0.318266i | ||||
\(686\) | 0.202749 | − | 0.204252i | 0.00774101 | − | 0.00779838i | ||||
\(687\) | −0.656975 | − | 0.656975i | −0.0250652 | − | 0.0250652i | ||||
\(688\) | 14.6821 | − | 15.1223i | 0.559751 | − | 0.576532i | ||||
\(689\) | 3.05274i | 0.116300i | ||||||||
\(690\) | 1.46679 | + | 7.12287i | 0.0558399 | + | 0.271163i | ||||
\(691\) | − | 28.0903i | − | 1.06861i | −0.845293 | − | 0.534303i | \(-0.820574\pi\) | ||
0.845293 | − | 0.534303i | \(-0.179426\pi\) | |||||||
\(692\) | 2.93167 | + | 2.88870i | 0.111446 | + | 0.109812i | ||||
\(693\) | −15.7690 | − | 15.7690i | −0.599015 | − | 0.599015i | ||||
\(694\) | 36.4137 | + | 36.1459i | 1.38225 | + | 1.37208i | ||||
\(695\) | 37.2399 | − | 7.52550i | 1.41259 | − | 0.285459i | ||||
\(696\) | −3.95947 | − | 3.87273i | −0.150083 | − | 0.146795i | ||||
\(697\) | −20.1435 | + | 20.1435i | −0.762989 | + | 0.762989i | ||||
\(698\) | 0.0573122 | + | 15.5241i | 0.00216930 | + | 0.587596i | ||||
\(699\) | 0.117134 | 0.00443043 | ||||||||
\(700\) | −34.8256 | − | 13.8783i | −1.31628 | − | 0.524552i | ||||
\(701\) | 17.5957 | 0.664579 | 0.332289 | − | 0.943177i | \(-0.392179\pi\) | ||||
0.332289 | + | 0.943177i | \(0.392179\pi\) | |||||||
\(702\) | −0.00296868 | − | 0.804123i | −0.000112046 | − | 0.0303497i | ||||
\(703\) | −6.86987 | + | 6.86987i | −0.259102 | + | 0.259102i | ||||
\(704\) | −0.362275 | − | 16.3522i | −0.0136538 | − | 0.616298i | ||||
\(705\) | −1.15717 | + | 0.233843i | −0.0435815 | + | 0.00880702i | ||||
\(706\) | 29.2245 | + | 29.0095i | 1.09988 | + | 1.09179i | ||||
\(707\) | −34.5969 | − | 34.5969i | −1.30115 | − | 1.30115i | ||||
\(708\) | −1.86849 | + | 1.89629i | −0.0702221 | + | 0.0712668i | ||||
\(709\) | 40.9442i | 1.53769i | 0.639434 | + | 0.768846i | \(0.279169\pi\) | ||||
−0.639434 | + | 0.768846i | \(0.720831\pi\) | |||||||
\(710\) | 0.978056 | + | 4.74952i | 0.0367058 | + | 0.178246i | ||||
\(711\) | − | 48.0278i | − | 1.80118i | ||||||
\(712\) | 0.273843 | + | 24.7243i | 0.0102627 | + | 0.926582i | ||||
\(713\) | −31.2948 | − | 31.2948i | −1.17200 | − | 1.17200i | ||||
\(714\) | 4.86573 | − | 4.90179i | 0.182095 | − | 0.183445i | ||||
\(715\) | −0.808734 | + | 1.21838i | −0.0302449 | + | 0.0455647i | ||||
\(716\) | 4.39378 | − | 0.0324425i | 0.164203 | − | 0.00121243i | ||||
\(717\) | 0.543020 | − | 0.543020i | 0.0202795 | − | 0.0202795i | ||||
\(718\) | −30.9487 | + | 0.114257i | −1.15500 | + | 0.00426404i | ||||
\(719\) | −18.4285 | −0.687266 | −0.343633 | − | 0.939104i | \(-0.611658\pi\) | ||||
−0.343633 | + | 0.939104i | \(0.611658\pi\) | |||||||
\(720\) | 5.53078 | + | 25.4290i | 0.206120 | + | 0.947683i | ||||
\(721\) | −65.9627 | −2.45658 | ||||||||
\(722\) | 1.41420 | − | 0.00522099i | 0.0526312 | − | 0.000194305i | ||||
\(723\) | −2.31182 | + | 2.31182i | −0.0859775 | + | 0.0859775i | ||||
\(724\) | −8.96520 | + | 0.0661968i | −0.333189 | + | 0.00246018i | ||||
\(725\) | −12.6390 | − | 29.9949i | −0.469399 | − | 1.11398i | ||||
\(726\) | 2.04386 | − | 2.05901i | 0.0758548 | − | 0.0764170i | ||||
\(727\) | −14.2988 | − | 14.2988i | −0.530314 | − | 0.530314i | 0.390352 | − | 0.920666i | \(-0.372353\pi\) |
−0.920666 | + | 0.390352i | \(0.872353\pi\) | |||||||
\(728\) | 0.0375643 | + | 3.39155i | 0.00139223 | + | 0.125699i | ||||
\(729\) | − | 22.2360i | − | 0.823555i | ||||||
\(730\) | −27.2042 | − | 17.9133i | −1.00687 | − | 0.663001i | ||||
\(731\) | 22.8204i | 0.844042i | ||||||||
\(732\) | 0.328383 | − | 0.333269i | 0.0121374 | − | 0.0123180i | ||||
\(733\) | 2.66770 | + | 2.66770i | 0.0985337 | + | 0.0985337i | 0.754655 | − | 0.656122i | \(-0.227804\pi\) |
−0.656122 | + | 0.754655i | \(0.727804\pi\) | |||||||
\(734\) | −37.0187 | − | 36.7464i | −1.36639 | − | 1.35633i | ||||
\(735\) | 3.95320 | + | 2.62406i | 0.145816 | + | 0.0967898i | ||||
\(736\) | −30.0112 | + | 31.1401i | −1.10623 | + | 1.14784i | ||||
\(737\) | 10.4049 | − | 10.4049i | 0.383268 | − | 0.383268i | ||||
\(738\) | 0.0999203 | + | 27.0653i | 0.00367812 | + | 0.996288i | ||||
\(739\) | 38.6731 | 1.42261 | 0.711307 | − | 0.702882i | \(-0.248104\pi\) | ||||
0.711307 | + | 0.702882i | \(0.248104\pi\) | |||||||
\(740\) | −23.7608 | + | 36.3762i | −0.873463 | + | 1.33722i | ||||
\(741\) | −0.0962184 | −0.00353467 | ||||||||
\(742\) | 0.186798 | + | 50.5978i | 0.00685757 | + | 1.85750i | ||||
\(743\) | 1.38756 | − | 1.38756i | 0.0509046 | − | 0.0509046i | −0.681196 | − | 0.732101i | \(-0.738540\pi\) |
0.732101 | + | 0.681196i | \(0.238540\pi\) | |||||||
\(744\) | 3.52101 | + | 3.44387i | 0.129087 | + | 0.126258i | ||||
\(745\) | 4.32958 | + | 21.4249i | 0.158624 | + | 0.784948i | ||||
\(746\) | −6.29252 | − | 6.24623i | −0.230385 | − | 0.228691i | ||||
\(747\) | −12.5083 | − | 12.5083i | −0.457654 | − | 0.457654i | ||||
\(748\) | 12.6143 | + | 12.4293i | 0.461223 | + | 0.454462i | ||||
\(749\) | 4.93885i | 0.180462i | ||||||||
\(750\) | 0.867939 | − | 4.67626i | 0.0316926 | − | 0.170753i | ||||
\(751\) | 13.6253i | 0.497193i | 0.968607 | + | 0.248596i | \(0.0799693\pi\) | ||||
−0.968607 | + | 0.248596i | \(0.920031\pi\) | |||||||
\(752\) | −5.03714 | − | 4.89053i | −0.183686 | − | 0.178339i | ||||
\(753\) | 4.66569 | + | 4.66569i | 0.170027 | + | 0.170027i | ||||
\(754\) | −2.07459 | + | 2.08997i | −0.0755522 | + | 0.0761121i | ||||
\(755\) | 1.86874 | + | 9.24747i | 0.0680106 | + | 0.336550i | ||||
\(756\) | −0.0984090 | − | 13.3278i | −0.00357910 | − | 0.484727i | ||||
\(757\) | 12.0474 | − | 12.0474i | 0.437871 | − | 0.437871i | −0.453424 | − | 0.891295i | \(-0.649798\pi\) |
0.891295 | + | 0.453424i | \(0.149798\pi\) | |||||||
\(758\) | −35.8205 | + | 0.132243i | −1.30106 | + | 0.00480328i | ||||
\(759\) | 4.70184 | 0.170666 | ||||||||
\(760\) | 6.18499 | − | 1.32133i | 0.224353 | − | 0.0479299i | ||||
\(761\) | −9.84572 | −0.356907 | −0.178454 | − | 0.983948i | \(-0.557109\pi\) | ||||
−0.178454 | + | 0.983948i | \(0.557109\pi\) | |||||||
\(762\) | −3.69557 | + | 0.0136434i | −0.133876 | + | 0.000494248i | ||||
\(763\) | −53.6566 | + | 53.6566i | −1.94250 | + | 1.94250i | ||||
\(764\) | −0.0939242 | − | 12.7204i | −0.00339806 | − | 0.460208i | ||||
\(765\) | −23.4749 | − | 15.5822i | −0.848736 | − | 0.563374i | ||||
\(766\) | −31.2545 | + | 31.4862i | −1.12927 | + | 1.13764i | ||||
\(767\) | 1.00088 | + | 1.00088i | 0.0361397 | + | 0.0361397i | ||||
\(768\) | 3.30123 | − | 3.50222i | 0.119123 | − | 0.126375i | ||||
\(769\) | 32.7080i | 1.17948i | 0.807593 | + | 0.589741i | \(0.200770\pi\) |