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 | 267.13 | ||
Character | \(\chi\) | \(=\) | 380.267 |
Dual form | 380.2.k.d.343.13 |
$q$-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 \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) | \(191\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.00522099 | + | 1.41420i | 0.00369180 | + | 0.999993i | ||||
\(3\) | −0.212700 | − | 0.212700i | −0.122803 | − | 0.122803i | 0.643035 | − | 0.765837i | \(-0.277675\pi\) |
−0.765837 | + | 0.643035i | \(0.777675\pi\) | |||||||
\(4\) | −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 | 0.00193869 | − | 0.999998i | \(-0.499383\pi\) |
0.999998 | − | 0.00193869i | \(-0.000617103\pi\) | |||||||
\(8\) | −0.0313254 | − | 2.82825i | −0.0110752 | − | 0.999939i | ||||
\(9\) | − | 2.90952i | − | 0.969839i | ||||||
\(10\) | −0.614930 | + | 3.10191i | −0.194458 | + | 0.980911i | ||||
\(11\) | − | 2.04453i | − | 0.616450i | −0.951314 | − | 0.308225i | \(-0.900265\pi\) | ||
0.951314 | − | 0.308225i | \(-0.0997349\pi\) | |||||||
\(12\) | 0.428530 | + | 0.422248i | 0.123706 | + | 0.121893i | ||||
\(13\) | −0.226183 | + | 0.226183i | −0.0627319 | + | 0.0627319i | −0.737777 | − | 0.675045i | \(-0.764124\pi\) |
0.675045 | + | 0.737777i | \(0.264124\pi\) | |||||||
\(14\) | 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 | 0.230374 | − | 0.973102i | \(-0.426005\pi\) |
−0.973102 | + | 0.230374i | \(0.926005\pi\) | |||||||
\(18\) | 4.11465 | − | 0.0151906i | 0.969832 | − | 0.00358045i | ||||
\(19\) | −1.00000 | −0.229416 | ||||||||
\(20\) | −4.38995 | − | 0.853441i | −0.981622 | − | 0.190835i | ||||
\(21\) | −1.12768 | −0.246081 | ||||||||
\(22\) | 2.89139 | − | 0.0106745i | 0.616445 | − | 0.00227581i | ||||
\(23\) | 5.40599 | + | 5.40599i | 1.12723 | + | 1.12723i | 0.990626 | + | 0.136600i | \(0.0436176\pi\) |
0.136600 | + | 0.990626i | \(0.456382\pi\) | |||||||
\(24\) | −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 | ||||
\(28\) | −5.26246 | + | 5.34075i | −0.994512 | + | 1.00931i | ||||
\(29\) | 6.50979i | 1.20884i | 0.796667 | + | 0.604419i | \(0.206595\pi\) | ||||
−0.796667 | + | 0.604419i | \(0.793405\pi\) | |||||||
\(30\) | 0.790574 | − | 0.528982i | 0.144338 | − | 0.0965785i | ||||
\(31\) | 5.78891i | 1.03972i | 0.854252 | + | 0.519860i | \(0.174016\pi\) | ||||
−0.854252 | + | 0.519860i | \(0.825984\pi\) | |||||||
\(32\) | 0.104414 | + | 5.65589i | 0.0184580 | + | 0.999830i | ||||
\(33\) | −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 | −0.990275 | − | 0.139124i | \(-0.955571\pi\) |
−0.139124 | − | 0.990275i | \(-0.544429\pi\) | |||||||
\(38\) | −0.00522099 | − | 1.41420i | −0.000846957 | − | 0.229414i | ||||
\(39\) | 0.0962184 | 0.0154073 | ||||||||
\(40\) | 1.18402 | − | 6.21274i | 0.187210 | − | 0.982320i | ||||
\(41\) | 6.57779 | 1.02728 | 0.513639 | − | 0.858006i | \(-0.328297\pi\) | ||||
0.513639 | + | 0.858006i | \(0.328297\pi\) | |||||||
\(42\) | −0.00588763 | − | 1.59478i | −0.000908481 | − | 0.246079i | ||||
\(43\) | −3.72596 | − | 3.72596i | −0.568203 | − | 0.568203i | 0.363422 | − | 0.931625i | \(-0.381608\pi\) |
−0.931625 | + | 0.363422i | \(0.881608\pi\) | |||||||
\(44\) | 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 | \(-0.709141\pi\) |
0.791805 | + | 0.610773i | \(0.209141\pi\) | |||||||
\(48\) | −0.863272 | − | 0.838145i | −0.124603 | − | 0.120976i | ||||
\(49\) | − | 7.05428i | − | 1.00775i | ||||||
\(50\) | −2.72166 | + | 6.52630i | −0.384902 | + | 0.922958i | ||||
\(51\) | 1.30273i | 0.182418i | ||||||||
\(52\) | 0.449014 | − | 0.455694i | 0.0622670 | − | 0.0631933i | ||||
\(53\) | −6.74839 | + | 6.74839i | −0.926962 | + | 0.926962i | −0.997509 | − | 0.0705463i | \(-0.977526\pi\) |
0.0705463 | + | 0.997509i | \(0.477526\pi\) | |||||||
\(54\) | −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 | ||||
\(58\) | −9.20617 | + | 0.0339876i | −1.20883 | + | 0.00446279i | ||||
\(59\) | 4.42510 | 0.576098 | 0.288049 | − | 0.957616i | \(-0.406993\pi\) | ||||
0.288049 | + | 0.957616i | \(0.406993\pi\) | |||||||
\(60\) | 0.752216 | + | 1.11527i | 0.0971107 | + | 0.143981i | ||||
\(61\) | 0.777701 | 0.0995745 | 0.0497872 | − | 0.998760i | \(-0.484146\pi\) | ||||
0.0497872 | + | 0.998760i | \(0.484146\pi\) | |||||||
\(62\) | −8.18670 | + | 0.0302239i | −1.03971 | + | 0.00383844i | ||||
\(63\) | −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 | \(-0.894891\pi\) |
0.324240 | + | 0.945975i | \(0.394891\pi\) | |||||||
\(68\) | 6.16975 | + | 6.07931i | 0.748192 | + | 0.737224i | ||||
\(69\) | − | 2.29971i | − | 0.276853i | ||||||
\(70\) | 6.59268 | + | 9.85289i | 0.787976 | + | 1.17765i | ||||
\(71\) | 1.53345i | 0.181986i | 0.995852 | + | 0.0909932i | \(0.0290042\pi\) | ||||
−0.995852 | + | 0.0909932i | \(0.970996\pi\) | |||||||
\(72\) | −8.22885 | + | 0.0911417i | −0.969780 | + | 0.0107412i | ||||
\(73\) | −7.28339 | + | 7.28339i | −0.852457 | + | 0.852457i | −0.990435 | − | 0.137979i | \(-0.955939\pi\) |
0.137979 | + | 0.990435i | \(0.455939\pi\) | |||||||
\(74\) | 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 | ||||
\(78\) | 0.000502356 | 0.136072i | 5.68806e−5 | 0.0154072i | ||||||
\(79\) | 16.5071 | 1.85720 | 0.928599 | − | 0.371086i | \(-0.121014\pi\) | ||||
0.928599 | + | 0.371086i | \(0.121014\pi\) | |||||||
\(80\) | 8.79226 | + | 1.64201i | 0.983004 | + | 0.183582i | ||||
\(81\) | −8.19384 | −0.910427 | ||||||||
\(82\) | 0.0343426 | + | 9.30234i | 0.00379250 | + | 1.02727i | ||||
\(83\) | 4.29909 | + | 4.29909i | 0.471887 | + | 0.471887i | 0.902525 | − | 0.430638i | \(-0.141711\pi\) |
−0.430638 | + | 0.902525i | \(0.641711\pi\) | |||||||
\(84\) | 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 | ||||
\(88\) | −5.78246 | + | 0.0640457i | −0.616412 | + | 0.00682730i | ||||
\(89\) | − | 8.74189i | − | 0.926639i | −0.886191 | − | 0.463319i | \(-0.846658\pi\) | ||
0.886191 | − | 0.463319i | \(-0.153342\pi\) | |||||||
\(90\) | 9.02507 | + | 1.78915i | 0.951326 | + | 0.188593i | ||||
\(91\) | 1.19917i | 0.125707i | ||||||||
\(92\) | −10.8915 | − | 10.7319i | −1.13552 | − | 1.11887i | ||||
\(93\) | 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 | 0.562452 | − | 0.826830i | \(-0.309858\pi\) |
−0.826830 | + | 0.562452i | \(0.809858\pi\) | |||||||
\(98\) | 9.97619 | − | 0.0368304i | 1.00775 | − | 0.00372043i | ||||
\(99\) | −5.94860 | −0.597857 | ||||||||
\(100\) | −9.24372 | − | 3.81492i | −0.924372 | − | 0.381492i | ||||
\(101\) | 13.0511 | 1.29864 | 0.649318 | − | 0.760517i | \(-0.275054\pi\) | ||||
0.649318 | + | 0.760517i | \(0.275054\pi\) | |||||||
\(102\) | −1.84232 | + | 0.00680152i | −0.182417 | + | 0.000673451i | ||||
\(103\) | −12.4417 | − | 12.4417i | −1.22591 | − | 1.22591i | −0.965496 | − | 0.260419i | \(-0.916139\pi\) |
−0.260419 | − | 0.965496i | \(-0.583861\pi\) | |||||||
\(104\) | 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 | \(-0.729716\pi\) |
0.750700 | + | 0.660643i | \(0.229716\pi\) | |||||||
\(108\) | 2.49528 | − | 2.53241i | 0.240109 | − | 0.243681i | ||||
\(109\) | 20.2411i | 1.93874i | 0.245597 | + | 0.969372i | \(0.421016\pi\) | ||||
−0.245597 | + | 0.969372i | \(0.578984\pi\) | |||||||
\(110\) | 6.34196 | + | 1.25724i | 0.604682 | + | 0.119873i | ||||
\(111\) | 2.92245i | 0.277386i | ||||||||
\(112\) | 10.4458 | − | 10.7589i | 0.987032 | − | 1.01662i | ||||
\(113\) | 3.01028 | − | 3.01028i | 0.283183 | − | 0.283183i | −0.551194 | − | 0.834377i | \(-0.685828\pi\) |
0.834377 | + | 0.551194i | \(0.185828\pi\) | |||||||
\(114\) | −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 | ||||
\(118\) | 0.0231034 | + | 6.25799i | 0.00212684 | + | 0.576094i | ||||
\(119\) | −16.2358 | −1.48833 | ||||||||
\(120\) | −1.57329 | + | 1.06961i | −0.143621 | + | 0.0976416i | ||||
\(121\) | 6.81989 | 0.619990 | ||||||||
\(122\) | 0.00406037 | + | 1.09983i | 0.000367609 | + | 0.0995738i | ||||
\(123\) | −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 | \(-0.624051\pi\) |
0.925017 | + | 0.379926i | \(0.124051\pi\) | |||||||
\(128\) | −0.292344 | − | 11.3099i | −0.0258398 | − | 0.999666i | ||||
\(129\) | 1.58503i | 0.139554i | ||||||||
\(130\) | −0.562513 | − | 0.840686i | −0.0493357 | − | 0.0737331i | ||||
\(131\) | 8.30018i | 0.725190i | 0.931947 | + | 0.362595i | \(0.118109\pi\) | ||||
−0.931947 | + | 0.362595i | \(0.881891\pi\) | |||||||
\(132\) | 0.863300 | − | 0.876144i | 0.0751406 | − | 0.0762585i | ||||
\(133\) | −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 | 0.829146 | − | 0.559032i | \(-0.188827\pi\) |
−0.559032 | + | 0.829146i | \(0.688827\pi\) | |||||||
\(138\) | 3.25226 | − | 0.0120068i | 0.276851 | − | 0.00102208i | ||||
\(139\) | −16.9908 | −1.44114 | −0.720572 | − | 0.693380i | \(-0.756121\pi\) | ||||
−0.720572 | + | 0.693380i | \(0.756121\pi\) | |||||||
\(140\) | −13.8996 | + | 9.37484i | −1.17473 | + | 0.792319i | ||||
\(141\) | −0.527962 | −0.0444625 | ||||||||
\(142\) | −2.16860 | + | 0.00800611i | −0.181985 | + | 0.000671857i | ||||
\(143\) | 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 | ||||
\(148\) | 13.8408 | + | 13.6379i | 1.13771 | + | 1.12103i | ||||
\(149\) | − | 9.77519i | − | 0.800815i | −0.916337 | − | 0.400407i | \(-0.868869\pi\) | ||
0.916337 | − | 0.400407i | \(-0.131131\pi\) | |||||||
\(150\) | 1.96705 | − | 0.809247i | 0.160609 | − | 0.0660747i | ||||
\(151\) | 4.21919i | 0.343353i | 0.985153 | + | 0.171676i | \(0.0549184\pi\) | ||||
−0.985153 | + | 0.171676i | \(0.945082\pi\) | |||||||
\(152\) | 0.0313254 | + | 2.82825i | 0.00254082 | + | 0.229402i | ||||
\(153\) | −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 | 0.960660 | − | 0.277727i | \(-0.0895812\pi\) |
−0.277727 | + | 0.960660i | \(0.589581\pi\) | |||||||
\(158\) | 0.0861836 | + | 23.3444i | 0.00685640 | + | 1.85718i | ||||
\(159\) | 2.87077 | 0.227667 | ||||||||
\(160\) | −2.27623 | + | 12.4426i | −0.179952 | + | 0.983675i | ||||
\(161\) | 28.6612 | 2.25882 | ||||||||
\(162\) | −0.0427800 | − | 11.5878i | −0.00336111 | − | 0.910421i | ||||
\(163\) | −11.5235 | − | 11.5235i | −0.902586 | − | 0.902586i | 0.0930729 | − | 0.995659i | \(-0.470331\pi\) |
−0.995659 | + | 0.0930729i | \(0.970331\pi\) | |||||||
\(164\) | −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 | \(-0.813838\pi\) |
0.552071 | + | 0.833797i | \(0.313838\pi\) | |||||||
\(168\) | 0.0353252 | + | 3.18938i | 0.00272539 | + | 0.246066i | ||||
\(169\) | 12.8977i | 0.992129i | ||||||||
\(170\) | 11.3823 | − | 7.61601i | 0.872980 | − | 0.584121i | ||||
\(171\) | 2.90952i | 0.222496i | ||||||||
\(172\) | 7.50673 | + | 7.39669i | 0.572383 | + | 0.563992i | ||||
\(173\) | 1.45513 | − | 1.45513i | 0.110632 | − | 0.110632i | −0.649624 | − | 0.760256i | \(-0.725074\pi\) |
0.760256 | + | 0.649624i | \(0.225074\pi\) | |||||||
\(174\) | 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 | ||||
\(178\) | 12.3628 | − | 0.0456413i | 0.926632 | − | 0.00342096i | ||||
\(179\) | −2.19695 | −0.164208 | −0.0821038 | − | 0.996624i | \(-0.526164\pi\) | ||||
−0.0821038 | + | 0.996624i | \(0.526164\pi\) | |||||||
\(180\) | −2.48310 | + | 12.7726i | −0.185079 | + | 0.952015i | ||||
\(181\) | −4.48272 | −0.333198 | −0.166599 | − | 0.986025i | \(-0.553279\pi\) | ||||
−0.166599 | + | 0.986025i | \(0.553279\pi\) | |||||||
\(182\) | −1.69587 | + | 0.00626084i | −0.125706 | + | 0.000464084i | ||||
\(183\) | −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 | ||||
\(188\) | −2.46379 | + | 2.50045i | −0.179691 | + | 0.182364i | ||||
\(189\) | 6.66407i | 0.484740i | ||||||||
\(190\) | 0.614930 | − | 3.10191i | 0.0446117 | − | 0.225036i | ||||
\(191\) | − | 6.36037i | − | 0.460220i | −0.973165 | − | 0.230110i | \(-0.926091\pi\) | ||
0.973165 | − | 0.230110i | \(-0.0739087\pi\) | |||||||
\(192\) | 1.73887 | + | 1.66350i | 0.125492 | + | 0.120053i | ||||
\(193\) | −13.5977 | + | 13.5977i | −0.978787 | + | 0.978787i | −0.999780 | − | 0.0209930i | \(-0.993317\pi\) |
0.0209930 | + | 0.999780i | \(0.493317\pi\) | |||||||
\(194\) | 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 | 0.917224 | − | 0.398373i | \(-0.130425\pi\) |
−0.398373 | + | 0.917224i | \(0.630425\pi\) | |||||||
\(198\) | −0.0310576 | − | 8.41253i | −0.00220717 | − | 0.597853i | ||||
\(199\) | −21.1117 | −1.49657 | −0.748284 | − | 0.663378i | \(-0.769122\pi\) | ||||
−0.748284 | + | 0.663378i | \(0.769122\pi\) | |||||||
\(200\) | 5.34681 | − | 13.0924i | 0.378076 | − | 0.925774i | ||||
\(201\) | 2.16491 | 0.152701 | ||||||||
\(202\) | 0.0681399 | + | 18.4570i | 0.00479430 | + | 1.29863i | ||||
\(203\) | 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 | ||||
\(208\) | −0.891273 | + | 0.917993i | −0.0617987 | + | 0.0636514i | ||||
\(209\) | 2.04453i | 0.141423i | ||||||||
\(210\) | 0.693447 | − | 3.49798i | 0.0478524 | − | 0.241384i | ||||
\(211\) | 13.4524i | 0.926098i | 0.886333 | + | 0.463049i | \(0.153245\pi\) | ||||
−0.886333 | + | 0.463049i | \(0.846755\pi\) | |||||||
\(212\) | 13.3968 | − | 13.5961i | 0.920093 | − | 0.933781i | ||||
\(213\) | 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 | ||||
\(218\) | −28.6250 | + | 0.105679i | −1.93873 | + | 0.00715745i | ||||
\(219\) | 3.09836 | 0.209368 | ||||||||
\(220\) | −1.74489 | + | 8.97539i | −0.117640 | + | 0.605121i | ||||
\(221\) | 1.38530 | 0.0931855 | ||||||||
\(222\) | −4.13293 | + | 0.0152581i | −0.277384 | + | 0.00102405i | ||||
\(223\) | 1.88885 | + | 1.88885i | 0.126486 | + | 0.126486i | 0.767516 | − | 0.641030i | \(-0.221492\pi\) |
−0.641030 | + | 0.767516i | \(0.721492\pi\) | |||||||
\(224\) | 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 | \(-0.728105\pi\) |
0.754035 | + | 0.656834i | \(0.228105\pi\) | |||||||
\(228\) | −0.428530 | − | 0.422248i | −0.0283801 | − | 0.0279641i | ||||
\(229\) | 3.08873i | 0.204109i | 0.994779 | + | 0.102055i | \(0.0325417\pi\) | ||||
−0.994779 | + | 0.102055i | \(0.967458\pi\) | |||||||
\(230\) | −20.0932 | + | 13.4446i | −1.32491 | + | 0.886511i | ||||
\(231\) | 2.30559i | 0.151697i | ||||||||
\(232\) | 18.4113 | − | 0.203922i | 1.20876 | − | 0.0133881i | ||||
\(233\) | 0.275351 | − | 0.275351i | 0.0180388 | − | 0.0180388i | −0.698030 | − | 0.716069i | \(-0.745940\pi\) |
0.716069 | + | 0.698030i | \(0.245940\pi\) | |||||||
\(234\) | −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 | ||||
\(238\) | −0.0847670 | − | 22.9607i | −0.00549463 | − | 1.48832i | ||||
\(239\) | −2.55298 | −0.165139 | −0.0825693 | − | 0.996585i | \(-0.526313\pi\) | ||||
−0.0825693 | + | 0.996585i | \(0.526313\pi\) | |||||||
\(240\) | −1.52086 | − | 2.21937i | −0.0981712 | − | 0.143260i | ||||
\(241\) | −10.8689 | −0.700128 | −0.350064 | − | 0.936726i | \(-0.613840\pi\) | ||||
−0.350064 | + | 0.936726i | \(0.613840\pi\) | |||||||
\(242\) | 0.0356066 | + | 9.64471i | 0.00228888 | + | 0.619986i | ||||
\(243\) | 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 | ||||
\(248\) | 16.3725 | − | 0.181340i | 1.03966 | − | 0.0115151i | ||||
\(249\) | − | 1.82884i | − | 0.115898i | ||||||
\(250\) | −8.85584 | + | 13.0986i | −0.560093 | + | 0.828430i | ||||
\(251\) | 21.9355i | 1.38456i | 0.721630 | + | 0.692279i | \(0.243393\pi\) | ||||
−0.721630 | + | 0.692279i | \(0.756607\pi\) | |||||||
\(252\) | 15.5390 | + | 15.3112i | 0.978866 | + | 0.964516i | ||||
\(253\) | 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 | 0.372811 | − | 0.927907i | \(-0.378394\pi\) |
−0.927907 | + | 0.372811i | \(0.878394\pi\) | |||||||
\(258\) | −2.24155 | + | 0.00827541i | −0.139553 | + | 0.000515204i | ||||
\(259\) | −36.4223 | −2.26317 | ||||||||
\(260\) | 1.18597 | − | 0.799898i | 0.0735504 | − | 0.0496075i | ||||
\(261\) | 18.9404 | 1.17238 | ||||||||
\(262\) | −11.7381 | + | 0.0433352i | −0.725185 | + | 0.00267725i | ||||
\(263\) | −16.0413 | − | 16.0413i | −0.989151 | − | 0.989151i | 0.0107906 | − | 0.999942i | \(-0.496565\pi\) |
−0.999942 | + | 0.0107906i | \(0.996565\pi\) | |||||||
\(264\) | 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 | ||||
\(268\) | 10.1028 | − | 10.2531i | 0.617127 | − | 0.626308i | ||||
\(269\) | − | 6.96525i | − | 0.424679i | −0.977196 | − | 0.212339i | \(-0.931892\pi\) | ||
0.977196 | − | 0.212339i | \(-0.0681083\pi\) | |||||||
\(270\) | −3.12603 | − | 4.67191i | −0.190244 | − | 0.284323i | ||||
\(271\) | − | 7.23572i | − | 0.439539i | −0.975552 | − | 0.219769i | \(-0.929470\pi\) | ||
0.975552 | − | 0.219769i | \(-0.0705305\pi\) | |||||||
\(272\) | −12.4289 | − | 12.0672i | −0.753615 | − | 0.731680i | ||||
\(273\) | 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 | 0.0878773 | − | 0.996131i | \(-0.471992\pi\) |
−0.996131 | + | 0.0878773i | \(0.971992\pi\) | |||||||
\(278\) | −0.0887090 | − | 24.0285i | −0.00532041 | − | 1.44113i | ||||
\(279\) | 16.8429 | 1.00836 | ||||||||
\(280\) | −13.3305 | − | 19.6079i | −0.796650 | − | 1.17179i | ||||
\(281\) | 10.0095 | 0.597118 | 0.298559 | − | 0.954391i | \(-0.403494\pi\) | ||||
0.298559 | + | 0.954391i | \(0.403494\pi\) | |||||||
\(282\) | −0.00275649 | − | 0.746646i | −0.000164146 | − | 0.0444622i | ||||
\(283\) | 8.48356 | + | 8.48356i | 0.504295 | + | 0.504295i | 0.912770 | − | 0.408474i | \(-0.133939\pi\) |
−0.408474 | + | 0.912770i | \(0.633939\pi\) | |||||||
\(284\) | −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 | ||||
\(288\) | 16.4559 | − | 0.303795i | 0.969674 | − | 0.0179013i | ||||
\(289\) | 1.75596i | 0.103292i | ||||||||
\(290\) | −20.1928 | − | 4.00306i | −1.18576 | − | 0.235068i | ||||
\(291\) | 1.10767i | 0.0649325i | ||||||||
\(292\) | 14.4588 | − | 14.6739i | 0.846139 | − | 0.858727i | ||||
\(293\) | 10.3132 | − | 10.3132i | 0.602501 | − | 0.602501i | −0.338475 | − | 0.940976i | \(-0.609911\pi\) |
0.940976 | + | 0.338475i | \(0.109911\pi\) | |||||||
\(294\) | −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 | ||||
\(298\) | 13.8241 | − | 0.0510362i | 0.800809 | − | 0.00295645i | ||||
\(299\) | −2.44549 | −0.141426 | ||||||||
\(300\) | 1.15471 | + | 2.77758i | 0.0666672 | + | 0.160364i | ||||
\(301\) | −19.7541 | −1.13861 | ||||||||
\(302\) | −5.96680 | + | 0.0220284i | −0.343351 | + | 0.00126759i | ||||
\(303\) | −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 | \(-0.798712\pi\) |
0.591053 | + | 0.806633i | \(0.298712\pi\) | |||||||
\(308\) | 10.9193 | + | 10.7593i | 0.622187 | + | 0.613066i | ||||
\(309\) | 5.29270i | 0.301091i | ||||||||
\(310\) | −17.9567 | − | 3.55977i | −1.01987 | − | 0.202182i | ||||
\(311\) | − | 21.5006i | − | 1.21919i | −0.792715 | − | 0.609593i | \(-0.791333\pi\) | ||
0.792715 | − | 0.609593i | \(-0.208667\pi\) | |||||||
\(312\) | −0.00301408 | − | 0.272130i | −0.000170639 | − | 0.0154063i | ||||
\(313\) | −12.1932 | + | 12.1932i | −0.689200 | + | 0.689200i | −0.962055 | − | 0.272855i | \(-0.912032\pi\) |
0.272855 | + | 0.962055i | \(0.412032\pi\) | |||||||
\(314\) | −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 | 0.713571 | − | 0.700583i | \(-0.247077\pi\) |
−0.700583 | + | 0.713571i | \(0.747077\pi\) | |||||||
\(318\) | 0.0149883 | + | 4.05985i | 0.000840500 | + | 0.227665i | ||||
\(319\) | 13.3095 | 0.745188 | ||||||||
\(320\) | −17.6083 | − | 3.15409i | −0.984333 | − | 0.176319i | ||||
\(321\) | −0.396283 | −0.0221183 | ||||||||
\(322\) | 0.149640 | + | 40.5328i | 0.00833911 | + | 2.25880i | ||||
\(323\) | 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 | ||||
\(328\) | −0.206052 | − | 18.6037i | −0.0113773 | − | 1.02722i | ||||
\(329\) | − | 6.57997i | − | 0.362766i | ||||||
\(330\) | −1.08152 | − | 1.61635i | −0.0595358 | − | 0.0889773i | ||||
\(331\) | − | 22.4492i | − | 1.23392i | −0.786994 | − | 0.616960i | \(-0.788364\pi\) | ||
0.786994 | − | 0.616960i | \(-0.211636\pi\) | |||||||
\(332\) | −8.66143 | − | 8.53446i | −0.475358 | − | 0.468389i | ||||
\(333\) | −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 | 0.566451 | − | 0.824095i | \(-0.308316\pi\) |
−0.824095 | + | 0.566451i | \(0.808316\pi\) | |||||||
\(338\) | −18.2400 | + | 0.0673387i | −0.992123 | + | 0.00366274i | ||||
\(339\) | −1.28057 | −0.0695512 | ||||||||
\(340\) | 10.8300 | + | 16.0571i | 0.587340 | + | 0.870818i | ||||
\(341\) | 11.8356 | 0.640935 | ||||||||
\(342\) | −4.11465 | + | 0.0151906i | −0.222495 | + | 0.000821412i | ||||
\(343\) | −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 | −0.527809 | + | 0.849363i | \(0.676986\pi\) |
−0.849363 | + | 0.527809i | \(0.823014\pi\) | |||||||
\(348\) | −2.74875 | + | 2.78964i | −0.147348 | + | 0.149541i | ||||
\(349\) | − | 10.9773i | − | 0.587600i | −0.955867 | − | 0.293800i | \(-0.905080\pi\) | ||
0.955867 | − | 0.293800i | \(-0.0949199\pi\) | |||||||
\(350\) | 10.0856 | + | 24.5152i | 0.539098 | + | 1.31039i | ||||
\(351\) | − | 0.568604i | − | 0.0303499i | ||||||
\(352\) | 11.5636 | − | 0.213478i | 0.616345 | − | 0.0113784i | ||||
\(353\) | 20.5889 | − | 20.5889i | 1.09584 | − | 1.09584i | 0.100947 | − | 0.994892i | \(-0.467813\pi\) |
0.994892 | − | 0.100947i | \(-0.0321874\pi\) | |||||||
\(354\) | 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 | ||||
\(358\) | −0.0114702 | − | 3.10693i | −0.000606221 | − | 0.164207i | ||||
\(359\) | 21.8842 | 1.15500 | 0.577502 | − | 0.816390i | \(-0.304028\pi\) | ||||
0.577502 | + | 0.816390i | \(0.304028\pi\) | |||||||
\(360\) | −18.0761 | − | 3.44492i | −0.952692 | − | 0.181563i | ||||
\(361\) | 1.00000 | 0.0526316 | ||||||||
\(362\) | −0.0234042 | − | 6.33948i | −0.00123010 | − | 0.333196i | ||||
\(363\) | −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 | 0.489195 | − | 0.872175i | \(-0.337291\pi\) |
0.872175 | − | 0.489195i | \(-0.162709\pi\) | |||||||
\(368\) | 21.9409 | + | 21.3023i | 1.14375 | + | 1.11046i | ||||
\(369\) | − | 19.1382i | − | 0.996294i | ||||||
\(370\) | 25.5342 | − | 17.0852i | 1.32746 | − | 0.888219i | ||||
\(371\) | 35.7783i | 1.85752i | ||||||||
\(372\) | −2.44436 | + | 2.48072i | −0.126734 | + | 0.128620i | ||||
\(373\) | −4.43315 | + | 4.43315i | −0.229540 | + | 0.229540i | −0.812500 | − | 0.582961i | \(-0.801894\pi\) |
0.582961 | + | 0.812500i | \(0.301894\pi\) | |||||||
\(374\) | −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 | ||||
\(378\) | −9.42436 | + | 0.0347931i | −0.484737 | + | 0.00178956i | ||||
\(379\) | 25.3291 | 1.30107 | 0.650534 | − | 0.759477i | \(-0.274545\pi\) | ||||
0.650534 | + | 0.759477i | \(0.274545\pi\) | |||||||
\(380\) | 4.38995 | + | 0.853441i | 0.225200 | + | 0.0437806i | ||||
\(381\) | −2.61318 | −0.133877 | ||||||||
\(382\) | 8.99486 | − | 0.0332075i | 0.460217 | − | 0.00169904i | ||||
\(383\) | 22.1823 | + | 22.1823i | 1.13346 | + | 1.13346i | 0.989597 | + | 0.143867i | \(0.0459538\pi\) |
0.143867 | + | 0.989597i | \(0.454046\pi\) | |||||||
\(384\) | −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 | ||||
\(388\) | 5.24594 | + | 5.16904i | 0.266322 | + | 0.262418i | ||||
\(389\) | 26.6415i | 1.35078i | 0.737462 | + | 0.675388i | \(0.236024\pi\) | ||||
−0.737462 | + | 0.675388i | \(0.763976\pi\) | |||||||
\(390\) | −0.0591676 | + | 0.298461i | −0.00299607 | + | 0.0151132i | ||||
\(391\) | − | 33.1100i | − | 1.67445i | ||||||
\(392\) | −19.9513 | + | 0.220978i | −1.00769 | + | 0.0111611i | ||||
\(393\) | 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 | −0.999763 | − | 0.0217671i | \(-0.993071\pi\) |
−0.0217671 | − | 0.999763i | \(-0.506929\pi\) | |||||||
\(398\) | −0.110224 | − | 29.8562i | −0.00552503 | − | 1.49656i | ||||
\(399\) | 1.12768 | 0.0564548 | ||||||||
\(400\) | 18.5433 | + | 7.49312i | 0.927164 | + | 0.374656i | ||||
\(401\) | −22.5998 | −1.12858 | −0.564289 | − | 0.825577i | \(-0.690850\pi\) | ||||
−0.564289 | + | 0.825577i | \(0.690850\pi\) | |||||||
\(402\) | 0.0113030 | + | 3.06163i | 0.000563742 | + | 0.152700i | ||||
\(403\) | −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 | ||||
\(408\) | 3.68444 | − | 0.0408084i | 0.182407 | − | 0.00202032i | ||||
\(409\) | − | 3.50326i | − | 0.173225i | −0.996242 | − | 0.0866126i | \(-0.972396\pi\) | ||
0.996242 | − | 0.0866126i | \(-0.0276042\pi\) | |||||||
\(410\) | −4.04488 | + | 20.4037i | −0.199762 | + | 1.00767i | ||||
\(411\) | − | 1.34495i | − | 0.0663416i | ||||||
\(412\) | 25.0664 | + | 24.6990i | 1.23493 | + | 1.21683i | ||||
\(413\) | 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 | ||||
\(418\) | −2.89139 | + | 0.0106745i | −0.141422 | + | 0.000522106i | ||||
\(419\) | 12.6029 | 0.615691 | 0.307846 | − | 0.951436i | \(-0.400392\pi\) | ||||
0.307846 | + | 0.951436i | \(0.400392\pi\) | |||||||
\(420\) | 4.95048 | + | 0.962412i | 0.241559 | + | 0.0469609i | ||||
\(421\) | −38.3993 | −1.87147 | −0.935735 | − | 0.352704i | \(-0.885262\pi\) | ||||
−0.935735 | + | 0.352704i | \(0.885262\pi\) | |||||||
\(422\) | −19.0244 | + | 0.0702346i | −0.926092 | + | 0.00341897i | ||||
\(423\) | −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 | ||||
\(428\) | −1.84930 | + | 1.87681i | −0.0893891 | + | 0.0907190i | ||||
\(429\) | − | 0.196722i | − | 0.00949781i | ||||||
\(430\) | 13.8488 | − | 9.26639i | 0.667848 | − | 0.446865i | ||||
\(431\) | 22.0058i | 1.05998i | 0.848003 | + | 0.529992i | \(0.177805\pi\) | ||||
−0.848003 | + | 0.529992i | \(0.822195\pi\) | |||||||
\(432\) | −4.95303 | + | 5.10152i | −0.238303 | + | 0.245447i | ||||
\(433\) | 24.6830 | − | 24.6830i | 1.18619 | − | 1.18619i | 0.208077 | − | 0.978112i | \(-0.433279\pi\) |
0.978112 | − | 0.208077i | \(-0.0667205\pi\) | |||||||
\(434\) | −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 | ||||
\(438\) | 0.0161765 | + | 4.38171i | 0.000772944 | + | 0.209366i | ||||
\(439\) | −14.9623 | −0.714113 | −0.357056 | − | 0.934083i | \(-0.616220\pi\) | ||||
−0.357056 | + | 0.934083i | \(0.616220\pi\) | |||||||
\(440\) | −12.7021 | − | 2.42077i | −0.605551 | − | 0.115405i | ||||
\(441\) | −20.5246 | −0.977360 | ||||||||
\(442\) | 0.00723265 | + | 1.95910i | 0.000344022 | + | 0.0931849i | ||||
\(443\) | 4.16446 | + | 4.16446i | 0.197859 | + | 0.197859i | 0.799082 | − | 0.601222i | \(-0.205319\pi\) |
−0.601222 | + | 0.799082i | \(0.705319\pi\) | |||||||
\(444\) | −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 | ||||
\(448\) | −20.7321 | + | 21.6715i | −0.979499 | + | 1.02388i | ||||
\(449\) | 4.32706i | 0.204207i | 0.994774 | + | 0.102103i | \(0.0325572\pi\) | ||||
−0.994774 | + | 0.102103i | \(0.967443\pi\) | |||||||
\(450\) | 18.9884 | + | 7.91873i | 0.895120 | + | 0.373293i | ||||
\(451\) | − | 13.4485i | − | 0.633265i | ||||||
\(452\) | −5.97593 | + | 6.06484i | −0.281084 | + | 0.285266i | ||||
\(453\) | 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 | 0.918374 | − | 0.395714i | \(-0.129503\pi\) |
−0.395714 | + | 0.918374i | \(0.629503\pi\) | |||||||
\(458\) | −4.36810 | + | 0.0161263i | −0.204108 | + | 0.000753530i | ||||
\(459\) | 7.69848 | 0.359334 | ||||||||
\(460\) | −19.1183 | − | 28.3457i | −0.891396 | − | 1.32163i | ||||
\(461\) | −28.2155 | −1.31413 | −0.657064 | − | 0.753835i | \(-0.728202\pi\) | ||||
−0.657064 | + | 0.753835i | \(0.728202\pi\) | |||||||
\(462\) | −3.26057 | + | 0.0120375i | −0.151695 | + | 0.000560033i | ||||
\(463\) | −23.1500 | − | 23.1500i | −1.07587 | − | 1.07587i | −0.996875 | − | 0.0789948i | \(-0.974829\pi\) |
−0.0789948 | − | 0.996875i | \(-0.525171\pi\) | |||||||
\(464\) | 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 | \(-0.884128\pi\) |
0.356037 | + | 0.934472i | \(0.384128\pi\) | |||||||
\(468\) | −1.32585 | − | 1.30641i | −0.0612874 | − | 0.0603889i | ||||
\(469\) | 26.9812i | 1.24588i | ||||||||
\(470\) | 3.08658 | + | 4.61295i | 0.142373 | + | 0.212780i | ||||
\(471\) | − | 3.64021i | − | 0.167732i | ||||||
\(472\) | −0.138618 | − | 12.5153i | −0.00638040 | − | 0.576063i | ||||
\(473\) | −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 | ||||
\(478\) | −0.0133291 | − | 3.61044i | −0.000609658 | − | 0.165137i | ||||
\(479\) | 18.1663 | 0.830040 | 0.415020 | − | 0.909812i | \(-0.363775\pi\) | ||||
0.415020 | + | 0.909812i | \(0.363775\pi\) | |||||||
\(480\) | 3.13071 | − | 2.16240i | 0.142896 | − | 0.0986994i | ||||
\(481\) | 3.10769 | 0.141699 | ||||||||
\(482\) | −0.0567465 | − | 15.3709i | −0.00258473 | − | 0.700123i | ||||
\(483\) | −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 | 0.0646845 | − | 0.997906i | \(-0.479396\pi\) |
0.997906 | − | 0.0646845i | \(-0.0206041\pi\) | |||||||
\(488\) | −0.0243618 | − | 2.19954i | −0.00110281 | − | 0.0995684i | ||||
\(489\) | 4.90209i | 0.221680i | ||||||||
\(490\) | 21.8818 | + | 4.33789i | 0.988518 | + | 0.195966i | ||||
\(491\) | − | 1.07295i | − | 0.0484217i | −0.999707 | − | 0.0242108i | \(-0.992293\pi\) | ||
0.999707 | − | 0.0242108i | \(-0.00770731\pi\) | |||||||
\(492\) | 2.81878 | + | 2.77746i | 0.127080 | + | 0.125218i | ||||
\(493\) | 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 | ||||
\(498\) | 2.58635 | − | 0.00954834i | 0.115897 | − | 0.000427871i | ||||
\(499\) | 17.3943 | 0.778674 | 0.389337 | − | 0.921095i | \(-0.372704\pi\) | ||||
0.389337 | + | 0.921095i | \(0.372704\pi\) | |||||||
\(500\) | −18.5704 | − | 12.4556i | −0.830492 | − | 0.557030i | ||||
\(501\) | 1.54876 | 0.0691936 | ||||||||
\(502\) | −31.0213 | + | 0.114525i | −1.38455 | + | 0.00511151i | ||||
\(503\) | −20.5398 | − | 20.5398i | −0.915826 | − | 0.915826i | 0.0808962 | − | 0.996723i | \(-0.474222\pi\) |
−0.996723 | + | 0.0808962i | \(0.974222\pi\) | |||||||
\(504\) | −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 | ||||
\(508\) | −12.1947 | + | 12.3761i | −0.541051 | + | 0.549101i | ||||
\(509\) | − | 31.2945i | − | 1.38710i | −0.720406 | − | 0.693552i | \(-0.756045\pi\) | ||
0.720406 | − | 0.693552i | \(-0.243955\pi\) | |||||||
\(510\) | −4.04094 | − | 0.801085i | −0.178936 | − | 0.0354726i | ||||
\(511\) | 38.6147i | 1.70822i | ||||||||
\(512\) | 0.751686 | + | 22.6149i | 0.0332201 | + | 0.999448i | ||||
\(513\) | 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 | ||||
\(518\) | −0.190161 | − | 51.5086i | −0.00835518 | − | 2.26316i | ||||
\(519\) | −0.619015 | −0.0271717 | ||||||||
\(520\) | 1.13741 | + | 1.67302i | 0.0498787 | + | 0.0733668i | ||||
\(521\) | 17.9538 | 0.786572 | 0.393286 | − | 0.919416i | \(-0.371338\pi\) | ||||
0.393286 | + | 0.919416i | \(0.371338\pi\) | |||||||
\(522\) | 0.0988874 | + | 26.7855i | 0.00432818 | + | 1.17237i | ||||
\(523\) | 5.14238 | + | 5.14238i | 0.224861 | + | 0.224861i | 0.810542 | − | 0.585681i | \(-0.199173\pi\) |
−0.585681 | + | 0.810542i | \(0.699173\pi\) | |||||||
\(524\) | −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 | ||||
\(528\) | −1.71362 | + | 1.76499i | −0.0745755 | + | 0.0768112i | ||||
\(529\) | 35.4494i | 1.54128i | ||||||||
\(530\) | −16.7831 | − | 25.0827i | −0.729012 | − | 1.08952i | ||||
\(531\) | − | 12.8749i | − | 0.558723i | ||||||
\(532\) | 5.26246 | − | 5.34075i | 0.228157 | − | 0.231551i | ||||
\(533\) | −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 | ||||
\(538\) | 9.85029 | − | 0.0363655i | 0.424676 | − | 0.00156783i | ||||
\(539\) | −14.4227 | −0.621230 | ||||||||
\(540\) | 6.59071 | − | 4.44524i | 0.283619 | − | 0.191292i | ||||
\(541\) | 19.3237 | 0.830792 | 0.415396 | − | 0.909641i | \(-0.363643\pi\) | ||||
0.415396 | + | 0.909641i | \(0.363643\pi\) | |||||||
\(542\) | 10.2328 | − | 0.0377776i | 0.439536 | − | 0.00162269i | ||||
\(543\) | 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 | \(-0.562494\pi\) |
0.980789 | + | 0.195071i | \(0.0624936\pi\) | |||||||
\(548\) | −6.36974 | − | 6.27636i | −0.272102 | − | 0.268113i | ||||
\(549\) | − | 2.26274i | − | 0.0965712i | ||||||
\(550\) | 13.3432 | + | 5.56453i | 0.568957 | + | 0.237272i | ||||
\(551\) | − | 6.50979i | − | 0.277326i | ||||||
\(552\) | −6.50417 | + | 0.0720394i | −0.276836 | + | 0.00306620i | ||||
\(553\) | 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 | 0.998180 | − | 0.0603095i | \(-0.0192088\pi\) |
−0.0603095 | + | 0.998180i | \(0.519209\pi\) | |||||||
\(558\) | 0.0879369 | + | 23.8194i | 0.00372266 | + | 1.00835i | ||||
\(559\) | 1.68550 | 0.0712889 | ||||||||
\(560\) | 27.6599 | − | 18.9544i | 1.16885 | − | 0.800971i | ||||
\(561\) | 2.66346 | 0.112452 | ||||||||
\(562\) | 0.0522597 | + | 14.1555i | 0.00220444 | + | 0.597114i | ||||
\(563\) | −4.11064 | − | 4.11064i | −0.173243 | − | 0.173243i | 0.615160 | − | 0.788403i | \(-0.289092\pi\) |
−0.788403 | + | 0.615160i | \(0.789092\pi\) | |||||||
\(564\) | 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 | ||||
\(568\) | 4.33697 | − | 0.0480358i | 0.181975 | − | 0.00201554i | ||||
\(569\) | 21.3698i | 0.895869i | 0.894066 | + | 0.447934i | \(0.147840\pi\) | ||||
−0.894066 | + | 0.447934i | \(0.852160\pi\) | |||||||
\(570\) | −0.790574 | + | 0.528982i | −0.0331135 | + | 0.0221566i | ||||
\(571\) | − | 17.7556i | − | 0.743049i | −0.928423 | − | 0.371524i | \(-0.878835\pi\) | ||
0.928423 | − | 0.371524i | \(-0.121165\pi\) | |||||||
\(572\) | −0.931680 | − | 0.918023i | −0.0389555 | − | 0.0383845i | ||||
\(573\) | −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 | 0.955128 | − | 0.296193i | \(-0.0957170\pi\) |
−0.296193 | + | 0.955128i | \(0.595717\pi\) | |||||||
\(578\) | −2.48329 | + | 0.00916785i | −0.103291 | + | 0.000381332i | ||||
\(579\) | 5.78449 | 0.240395 | ||||||||
\(580\) | 5.55572 | − | 28.5776i | 0.230689 | − | 1.18662i | ||||
\(581\) | 22.7927 | 0.945601 | ||||||||
\(582\) | −1.56646 | + | 0.00578311i | −0.0649320 | + | 0.000239718i | ||||
\(583\) | 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 | \(-0.797294\pi\) |
0.594642 | + | 0.803991i | \(0.297294\pi\) | |||||||
\(588\) | 2.97866 | − | 3.02297i | 0.122838 | − | 0.124665i | ||||
\(589\) | − | 5.78891i | − | 0.238528i | ||||||
\(590\) | −2.72112 | + | 13.7263i | −0.112027 | + | 0.565101i | ||||
\(591\) | − | 3.09795i | − | 0.127433i | ||||||
\(592\) | −27.8822 | − | 27.0707i | −1.14595 | − | 1.11260i | ||||
\(593\) | 14.6665 | − | 14.6665i | 0.602280 | − | 0.602280i | −0.338637 | − | 0.940917i | \(-0.609966\pi\) |
0.940917 | + | 0.338637i | \(0.109966\pi\) | |||||||
\(594\) | −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 | ||||
\(598\) | −0.0127679 | − | 3.45842i | −0.000522117 | − | 0.141425i | ||||
\(599\) | 10.7934 | 0.441005 | 0.220502 | − | 0.975386i | \(-0.429230\pi\) | ||||
0.220502 | + | 0.975386i | \(0.429230\pi\) | |||||||
\(600\) | −3.92203 | + | 1.64750i | −0.160116 | + | 0.0672588i | ||||
\(601\) | −8.15596 | −0.332688 | −0.166344 | − | 0.986068i | \(-0.553196\pi\) | ||||
−0.166344 | + | 0.986068i | \(0.553196\pi\) | |||||||
\(602\) | −0.103136 | − | 27.9363i | −0.00420351 | − | 1.13860i | ||||
\(603\) | 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 | −0.525148 | + | 0.851011i | \(0.675990\pi\) |
−0.851011 | + | 0.525148i | \(0.824010\pi\) | |||||||
\(608\) | −0.104414 | − | 5.65589i | −0.00423455 | − | 0.229377i | ||||
\(609\) | − | 7.34099i | − | 0.297472i | ||||||
\(610\) | −0.478232 | + | 2.41236i | −0.0193630 | + | 0.0976737i | ||||
\(611\) | 0.561429i | 0.0227130i | ||||||||
\(612\) | 17.6879 | − | 17.9510i | 0.714989 | − | 0.725626i | ||||
\(613\) | −8.50562 | + | 8.50562i | −0.343539 | + | 0.343539i | −0.857696 | − | 0.514157i | \(-0.828105\pi\) |
0.514157 | + | 0.857696i | \(0.328105\pi\) | |||||||
\(614\) | −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 | 0.0852322 | − | 0.996361i | \(-0.472837\pi\) |
−0.996361 | + | 0.0852322i | \(0.972837\pi\) | |||||||
\(618\) | −7.48496 | + | 0.0276331i | −0.301089 | + | 0.00111157i | ||||
\(619\) | −14.5559 | −0.585051 | −0.292525 | − | 0.956258i | \(-0.594496\pi\) | ||||
−0.292525 | + | 0.956258i | \(0.594496\pi\) | |||||||
\(620\) | 4.94049 | − | 25.4130i | 0.198415 | − | 1.02061i | ||||
\(621\) | −13.5902 | −0.545355 | ||||||||
\(622\) | 30.4062 | − | 0.112254i | 1.21918 | − | 0.00450099i | ||||
\(623\) | −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 | ||||
\(628\) | −17.2401 | − | 16.9874i | −0.687956 | − | 0.677872i | ||||
\(629\) | 42.0758i | 1.67767i | ||||||||
\(630\) | 28.6671 | − | 19.1815i | 1.14213 | − | 0.764210i | ||||
\(631\) | 29.4769i | 1.17346i | 0.809784 | + | 0.586728i | \(0.199584\pi\) | ||||
−0.809784 | + | 0.586728i | \(0.800416\pi\) | |||||||
\(632\) | −0.517092 | − | 46.6864i | −0.0205688 | − | 1.85708i | ||||
\(633\) | 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 | ||||
\(638\) | 0.0694887 | + | 18.8223i | 0.00275108 | + | 0.745183i | ||||
\(639\) | 4.46159 | 0.176498 | ||||||||
\(640\) | 4.36859 | − | 24.9182i | 0.172684 | − | 0.984977i | ||||
\(641\) | 12.2729 | 0.484749 | 0.242374 | − | 0.970183i | \(-0.422074\pi\) | ||||
0.242374 | + | 0.970183i | \(0.422074\pi\) | |||||||
\(642\) | −0.00206899 | − | 0.560425i | −8.16565e−5 | − | 0.0221182i | ||||
\(643\) | −8.55592 | − | 8.55592i | −0.337413 | − | 0.337413i | 0.517980 | − | 0.855393i | \(-0.326684\pi\) |
−0.855393 | + | 0.517980i | \(0.826684\pi\) | |||||||
\(644\) | −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 | −0.0869883 | + | 0.996209i | \(0.527724\pi\) |
−0.996209 | + | 0.0869883i | \(0.972276\pi\) | |||||||
\(648\) | 0.256675 | + | 23.1743i | 0.0100832 | + | 0.910371i | ||||
\(649\) | − | 9.04725i | − | 0.355136i | ||||||
\(650\) | −0.860543 | − | 2.09173i | −0.0337533 | − | 0.0820445i | ||||
\(651\) | − | 6.52807i | − | 0.255855i | ||||||
\(652\) | 23.2164 | + | 22.8761i | 0.909226 | + | 0.895898i | ||||
\(653\) | 9.19195 | − | 9.19195i | 0.359709 | − | 0.359709i | −0.503997 | − | 0.863706i | \(-0.668138\pi\) |
0.863706 | + | 0.503997i | \(0.168138\pi\) | |||||||
\(654\) | 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 | ||||
\(658\) | 9.30542 | − | 0.0343540i | 0.362763 | − | 0.00133926i | ||||
\(659\) | −1.02222 | −0.0398199 | −0.0199099 | − | 0.999802i | \(-0.506338\pi\) | ||||
−0.0199099 | + | 0.999802i | \(0.506338\pi\) | |||||||
\(660\) | 2.28021 | − | 1.53793i | 0.0887569 | − | 0.0598639i | ||||
\(661\) | −8.72455 | −0.339346 | −0.169673 | − | 0.985500i | \(-0.554271\pi\) | ||||
−0.169673 | + | 0.985500i | \(0.554271\pi\) | |||||||
\(662\) | 31.7478 | − | 0.117207i | 1.23391 | − | 0.00455539i | ||||
\(663\) | −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 | ||||
\(668\) | 7.22746 | − | 7.33499i | 0.279639 | − | 0.283799i | ||||
\(669\) | − | 0.803516i | − | 0.0310657i | ||||||
\(670\) | −12.6565 | − | 18.9154i | −0.488965 | − | 0.730767i | ||||
\(671\) | − | 1.59004i | − | 0.0613826i | ||||||
\(672\) | −0.117746 | − | 6.37806i | −0.00454216 | − | 0.246039i | ||||
\(673\) | −15.8449 | + | 15.8449i | −0.610777 | + | 0.610777i | −0.943148 | − | 0.332372i | \(-0.892151\pi\) |
0.332372 | + | 0.943148i | \(0.392151\pi\) | |||||||
\(674\) | 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 | 0.217323 | − | 0.976100i | \(-0.430268\pi\) |
−0.976100 | + | 0.217323i | \(0.930268\pi\) | |||||||
\(678\) | −0.00668587 | − | 1.81099i | −0.000256769 | − | 0.0695507i | ||||
\(679\) | −13.8048 | −0.529779 | ||||||||
\(680\) | −22.6514 | + | 15.3997i | −0.868643 | + | 0.590551i | ||||
\(681\) | −0.622990 | −0.0238730 | ||||||||
\(682\) | 0.0617937 | + | 16.7380i | 0.00236620 | + | 0.640930i | ||||
\(683\) | 25.7242 | + | 25.7242i | 0.984311 | + | 0.984311i | 0.999879 | − | 0.0155682i | \(-0.00495571\pi\) |
−0.0155682 | + | 0.999879i | \(0.504956\pi\) | |||||||
\(684\) | −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 | ||||
\(688\) | −15.1223 | − | 14.6821i | −0.576532 | − | 0.559751i | ||||
\(689\) | − | 3.05274i | − | 0.116300i | ||||||
\(690\) | 7.13351 | + | 1.41416i | 0.271568 | + | 0.0538362i | ||||
\(691\) | − | 28.0903i | − | 1.06861i | −0.845293 | − | 0.534303i | \(-0.820574\pi\) | ||
0.845293 | − | 0.534303i | \(-0.179426\pi\) | |||||||
\(692\) | −2.88870 | + | 2.93167i | −0.109812 | + | 0.111446i | ||||
\(693\) | −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 | ||||
\(698\) | 15.5241 | − | 0.0573122i | 0.587596 | − | 0.00216930i | ||||
\(699\) | −0.117134 | −0.00443043 | ||||||||
\(700\) | −34.6168 | + | 14.3911i | −1.30839 | + | 0.543932i | ||||
\(701\) | 17.5957 | 0.664579 | 0.332289 | − | 0.943177i | \(-0.392179\pi\) | ||||
0.332289 | + | 0.943177i | \(0.392179\pi\) | |||||||
\(702\) | 0.804123 | − | 0.00296868i | 0.0303497 | − | 0.000112046i | ||||
\(703\) | 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 | ||||
\(708\) | 1.89629 | + | 1.86849i | 0.0712668 | + | 0.0702221i | ||||
\(709\) | − | 40.9442i | − | 1.53769i | −0.639434 | − | 0.768846i | \(-0.720831\pi\) | ||
0.639434 | − | 0.768846i | \(-0.279169\pi\) | |||||||
\(710\) | −4.75661 | − | 0.942961i | −0.178513 | − | 0.0353887i | ||||
\(711\) | − | 48.0278i | − | 1.80118i | ||||||
\(712\) | −24.7243 | + | 0.273843i | −0.926582 | + | 0.0102627i | ||||
\(713\) | −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 | ||||
\(718\) | 0.114257 | + | 30.9487i | 0.00426404 | + | 1.15500i | ||||
\(719\) | 18.4285 | 0.687266 | 0.343633 | − | 0.939104i | \(-0.388342\pi\) | ||||
0.343633 | + | 0.939104i | \(0.388342\pi\) | |||||||
\(720\) | 4.77745 | − | 25.5812i | 0.178045 | − | 0.953356i | ||||
\(721\) | −65.9627 | −2.45658 | ||||||||
\(722\) | 0.00522099 | + | 1.41420i | 0.000194305 | + | 0.0526312i | ||||
\(723\) | 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 | \(-0.627647\pi\) |
0.920666 | + | 0.390352i | \(0.127647\pi\) | |||||||
\(728\) | 3.39155 | − | 0.0375643i | 0.125699 | − | 0.00139223i | ||||
\(729\) | 22.2360i | 0.823555i | ||||||||
\(730\) | −18.1137 | − | 27.0712i | −0.670417 | − | 1.00195i | ||||
\(731\) | 22.8204i | 0.844042i | ||||||||
\(732\) | 0.333269 | + | 0.328383i | 0.0123180 | + | 0.0121374i | ||||
\(733\) | 2.66770 | − | 2.66770i | 0.0985337 | − | 0.0985337i | −0.656122 | − | 0.754655i | \(-0.727804\pi\) |
0.754655 | + | 0.656122i | \(0.227804\pi\) | |||||||
\(734\) | 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 | ||||
\(738\) | 27.0653 | − | 0.0999203i | 0.996288 | − | 0.00367812i | ||||
\(739\) | −38.6731 | −1.42261 | −0.711307 | − | 0.702882i | \(-0.751896\pi\) | ||||
−0.711307 | + | 0.702882i | \(0.751896\pi\) | |||||||
\(740\) | 24.2953 | + | 36.0214i | 0.893114 | + | 1.32417i | ||||
\(741\) | −0.0962184 | −0.00353467 | ||||||||
\(742\) | −50.5978 | + | 0.186798i | −1.85750 | + | 0.00685757i | ||||
\(743\) | −1.38756 | − | 1.38756i | −0.0509046 | − | 0.0509046i | 0.681196 | − | 0.732101i | \(-0.261460\pi\) |
−0.732101 | + | 0.681196i | \(0.761460\pi\) | |||||||
\(744\) | −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 | ||||
\(748\) | 12.4293 | − | 12.6143i | 0.454462 | − | 0.461223i | ||||
\(749\) | − | 4.93885i | − | 0.180462i | ||||||
\(750\) | 4.66972 | − | 0.902442i | 0.170514 | − | 0.0329525i | ||||
\(751\) | 13.6253i | 0.497193i | 0.968607 | + | 0.248596i | \(0.0799693\pi\) | ||||
−0.968607 | + | 0.248596i | \(0.920031\pi\) | |||||||
\(752\) | 4.89053 | − | 5.03714i | 0.178339 | − | 0.183686i | ||||
\(753\) | 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 | 0.891295 | − | 0.453424i | \(-0.149798\pi\) |
−0.453424 | + | 0.891295i | \(0.649798\pi\) | |||||||
\(758\) | 0.132243 | + | 35.8205i | 0.00480328 | + | 1.30106i | ||||
\(759\) | −4.70184 | −0.170666 | ||||||||
\(760\) | −1.18402 | + | 6.21274i | −0.0429489 | + | 0.225360i | ||||
\(761\) | −9.84572 | −0.356907 | −0.178454 | − | 0.983948i | \(-0.557109\pi\) | ||||
−0.178454 | + | 0.983948i | \(0.557109\pi\) | |||||||
\(762\) | −0.0136434 | − | 3.69557i | −0.000494248 | − | 0.133876i | ||||
\(763\) | 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 | ||||
\(768\) | −3.50222 | − | 3.30123i | −0.126375 | − | 0.119123i | ||||
\(769\) | − | 32.7080i | − | 1.17948i | −0.807593 | − | 0.589741i | \(-0.799230\pi\) | ||
0.807593 | − | 0.589741i | \(-0.200770\pi\) | |||||||
\(770\) | 20.1445 | − | 13.4790i | 0.725959 | − | 0.485748i |