Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,2,Mod(6,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.bc (of order \(12\), degree \(4\), 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: | \(0.726638658394\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 6.3 | ||
Character | \(\chi\) | \(=\) | 91.6 |
Dual form | 91.2.bc.a.76.3 |
$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{5}{12}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.357317 | − | 1.33353i | −0.252661 | − | 0.942945i | −0.969377 | − | 0.245579i | \(-0.921022\pi\) |
0.716715 | − | 0.697366i | \(-0.245645\pi\) | |||||||
\(3\) | −0.928437 | − | 0.536034i | −0.536034 | − | 0.309479i | 0.207436 | − | 0.978249i | \(-0.433488\pi\) |
−0.743470 | + | 0.668769i | \(0.766821\pi\) | |||||||
\(4\) | 0.0814361 | − | 0.0470171i | 0.0407180 | − | 0.0235086i | ||||
\(5\) | −2.02925 | − | 2.02925i | −0.907507 | − | 0.907507i | 0.0885635 | − | 0.996071i | \(-0.471772\pi\) |
−0.996071 | + | 0.0885635i | \(0.971772\pi\) | |||||||
\(6\) | −0.383068 | + | 1.42963i | −0.156387 | + | 0.583644i | ||||
\(7\) | 1.39092 | + | 2.25063i | 0.525719 | + | 0.850658i | ||||
\(8\) | −2.04421 | − | 2.04421i | −0.722739 | − | 0.722739i | ||||
\(9\) | −0.925336 | − | 1.60273i | −0.308445 | − | 0.534243i | ||||
\(10\) | −1.98097 | + | 3.43114i | −0.626437 | + | 1.08502i | ||||
\(11\) | 1.37941 | − | 0.369611i | 0.415906 | − | 0.111442i | −0.0447966 | − | 0.998996i | \(-0.514264\pi\) |
0.460703 | + | 0.887554i | \(0.347597\pi\) | |||||||
\(12\) | −0.100811 | −0.0291016 | ||||||||
\(13\) | 3.54926 | + | 0.634621i | 0.984388 | + | 0.176012i | ||||
\(14\) | 2.50427 | − | 2.65902i | 0.669295 | − | 0.710652i | ||||
\(15\) | 0.796284 | + | 2.97177i | 0.205600 | + | 0.767309i | ||||
\(16\) | −1.90154 | + | 3.29357i | −0.475386 | + | 0.823393i | ||||
\(17\) | 2.09909 | + | 3.63573i | 0.509105 | + | 0.881795i | 0.999944 | + | 0.0105451i | \(0.00335669\pi\) |
−0.490840 | + | 0.871250i | \(0.663310\pi\) | |||||||
\(18\) | −1.80664 | + | 1.80664i | −0.425830 | + | 0.425830i | ||||
\(19\) | 1.59577 | − | 5.95551i | 0.366096 | − | 1.36629i | −0.499834 | − | 0.866121i | \(-0.666606\pi\) |
0.865929 | − | 0.500166i | \(-0.166728\pi\) | |||||||
\(20\) | −0.260663 | − | 0.0698445i | −0.0582861 | − | 0.0156177i | ||||
\(21\) | −0.0849695 | − | 2.83515i | −0.0185419 | − | 0.618680i | ||||
\(22\) | −0.985770 | − | 1.70740i | −0.210167 | − | 0.364020i | ||||
\(23\) | 6.77658 | + | 3.91246i | 1.41302 | + | 0.815805i | 0.995671 | − | 0.0929436i | \(-0.0296276\pi\) |
0.417344 | + | 0.908748i | \(0.362961\pi\) | |||||||
\(24\) | 0.802157 | + | 2.99369i | 0.163740 | + | 0.611085i | ||||
\(25\) | 3.23569i | 0.647138i | ||||||||
\(26\) | −0.421928 | − | 4.95979i | −0.0827470 | − | 0.972695i | ||||
\(27\) | 5.20025i | 1.00079i | ||||||||
\(28\) | 0.219089 | + | 0.117885i | 0.0414040 | + | 0.0222783i | ||||
\(29\) | 0.441485 | − | 0.764674i | 0.0819817 | − | 0.141996i | −0.822119 | − | 0.569315i | \(-0.807208\pi\) |
0.904101 | + | 0.427319i | \(0.140542\pi\) | |||||||
\(30\) | 3.67841 | − | 2.12373i | 0.671583 | − | 0.387738i | ||||
\(31\) | −0.648762 | − | 0.648762i | −0.116521 | − | 0.116521i | 0.646442 | − | 0.762963i | \(-0.276256\pi\) |
−0.762963 | + | 0.646442i | \(0.776256\pi\) | |||||||
\(32\) | −0.513380 | − | 0.137560i | −0.0907536 | − | 0.0243174i | ||||
\(33\) | −1.47882 | − | 0.396247i | −0.257429 | − | 0.0689778i | ||||
\(34\) | 4.09830 | − | 4.09830i | 0.702853 | − | 0.702853i | ||||
\(35\) | 1.74456 | − | 7.38961i | 0.294885 | − | 1.24907i | ||||
\(36\) | −0.150711 | − | 0.0870133i | −0.0251186 | − | 0.0145022i | ||||
\(37\) | −7.19341 | + | 1.92747i | −1.18259 | + | 0.316874i | −0.795953 | − | 0.605358i | \(-0.793030\pi\) |
−0.386637 | + | 0.922232i | \(0.626363\pi\) | |||||||
\(38\) | −8.51202 | −1.38083 | ||||||||
\(39\) | −2.95509 | − | 2.49173i | −0.473193 | − | 0.398996i | ||||
\(40\) | 8.29643i | 1.31178i | ||||||||
\(41\) | −11.4714 | + | 3.07376i | −1.79154 | + | 0.480041i | −0.992606 | − | 0.121379i | \(-0.961268\pi\) |
−0.798933 | + | 0.601421i | \(0.794602\pi\) | |||||||
\(42\) | −3.75038 | + | 1.12636i | −0.578697 | + | 0.173801i | ||||
\(43\) | 0.809734 | − | 0.467500i | 0.123483 | − | 0.0712931i | −0.436986 | − | 0.899468i | \(-0.643954\pi\) |
0.560469 | + | 0.828175i | \(0.310621\pi\) | |||||||
\(44\) | 0.0949554 | − | 0.0949554i | 0.0143151 | − | 0.0143151i | ||||
\(45\) | −1.37460 | + | 5.13007i | −0.204913 | + | 0.764746i | ||||
\(46\) | 2.79598 | − | 10.4347i | 0.412245 | − | 1.53852i | ||||
\(47\) | 2.20935 | − | 2.20935i | 0.322267 | − | 0.322267i | −0.527369 | − | 0.849636i | \(-0.676821\pi\) |
0.849636 | + | 0.527369i | \(0.176821\pi\) | |||||||
\(48\) | 3.53093 | − | 2.03858i | 0.509646 | − | 0.294244i | ||||
\(49\) | −3.13068 | + | 6.26090i | −0.447240 | + | 0.894414i | ||||
\(50\) | 4.31487 | − | 1.15617i | 0.610215 | − | 0.163507i | ||||
\(51\) | − | 4.50073i | − | 0.630229i | ||||||
\(52\) | 0.318876 | − | 0.115195i | 0.0442201 | − | 0.0159747i | ||||
\(53\) | 2.52486 | 0.346816 | 0.173408 | − | 0.984850i | \(-0.444522\pi\) | ||||
0.173408 | + | 0.984850i | \(0.444522\pi\) | |||||||
\(54\) | 6.93466 | − | 1.85814i | 0.943688 | − | 0.252860i | ||||
\(55\) | −3.54919 | − | 2.04912i | −0.478572 | − | 0.276304i | ||||
\(56\) | 1.75743 | − | 7.44411i | 0.234847 | − | 0.994761i | ||||
\(57\) | −4.67393 | + | 4.67393i | −0.619077 | + | 0.619077i | ||||
\(58\) | −1.17746 | − | 0.315500i | −0.154608 | − | 0.0414272i | ||||
\(59\) | 5.65360 | + | 1.51488i | 0.736035 | + | 0.197220i | 0.607315 | − | 0.794461i | \(-0.292246\pi\) |
0.128720 | + | 0.991681i | \(0.458913\pi\) | |||||||
\(60\) | 0.204571 | + | 0.204571i | 0.0264100 | + | 0.0264100i | ||||
\(61\) | −0.0739657 | + | 0.0427041i | −0.00947033 | + | 0.00546770i | −0.504728 | − | 0.863279i | \(-0.668407\pi\) |
0.495257 | + | 0.868746i | \(0.335074\pi\) | |||||||
\(62\) | −0.633327 | + | 1.09695i | −0.0804326 | + | 0.139313i | ||||
\(63\) | 2.32008 | − | 4.31186i | 0.292303 | − | 0.543243i | ||||
\(64\) | 8.33994i | 1.04249i | ||||||||
\(65\) | −5.91453 | − | 8.49013i | −0.733607 | − | 1.05307i | ||||
\(66\) | 2.11362i | 0.260169i | ||||||||
\(67\) | 0.266684 | + | 0.995278i | 0.0325806 | + | 0.121593i | 0.980301 | − | 0.197510i | \(-0.0632854\pi\) |
−0.947720 | + | 0.319102i | \(0.896619\pi\) | |||||||
\(68\) | 0.341884 | + | 0.197387i | 0.0414595 | + | 0.0239366i | ||||
\(69\) | −4.19442 | − | 7.26495i | −0.504949 | − | 0.874598i | ||||
\(70\) | −10.4776 | + | 0.314014i | −1.25231 | + | 0.0375318i | ||||
\(71\) | 2.79996 | + | 0.750247i | 0.332294 | + | 0.0890380i | 0.421109 | − | 0.907010i | \(-0.361641\pi\) |
−0.0888143 | + | 0.996048i | \(0.528308\pi\) | |||||||
\(72\) | −1.38474 | + | 5.16791i | −0.163193 | + | 0.609044i | ||||
\(73\) | 2.01428 | − | 2.01428i | 0.235754 | − | 0.235754i | −0.579335 | − | 0.815089i | \(-0.696688\pi\) |
0.815089 | + | 0.579335i | \(0.196688\pi\) | |||||||
\(74\) | 5.14066 | + | 8.90388i | 0.597589 | + | 1.03506i | ||||
\(75\) | 1.73444 | − | 3.00414i | 0.200276 | − | 0.346888i | ||||
\(76\) | −0.150057 | − | 0.560022i | −0.0172128 | − | 0.0642389i | ||||
\(77\) | 2.75050 | + | 2.59043i | 0.313449 | + | 0.295207i | ||||
\(78\) | −2.26688 | + | 4.83102i | −0.256674 | + | 0.547006i | ||||
\(79\) | 9.43068 | 1.06103 | 0.530517 | − | 0.847674i | \(-0.321998\pi\) | ||||
0.530517 | + | 0.847674i | \(0.321998\pi\) | |||||||
\(80\) | 10.5422 | − | 2.82477i | 1.17865 | − | 0.315819i | ||||
\(81\) | 0.0114981 | − | 0.0199152i | 0.00127756 | − | 0.00221280i | ||||
\(82\) | 8.19789 | + | 14.1992i | 0.905305 | + | 1.56803i | ||||
\(83\) | 1.54040 | + | 1.54040i | 0.169081 | + | 0.169081i | 0.786575 | − | 0.617494i | \(-0.211852\pi\) |
−0.617494 | + | 0.786575i | \(0.711852\pi\) | |||||||
\(84\) | −0.140220 | − | 0.226888i | −0.0152993 | − | 0.0247556i | ||||
\(85\) | 3.11823 | − | 11.6374i | 0.338219 | − | 1.26225i | ||||
\(86\) | −0.912755 | − | 0.912755i | −0.0984249 | − | 0.0984249i | ||||
\(87\) | −0.819782 | + | 0.473301i | −0.0878898 | + | 0.0507432i | ||||
\(88\) | −3.57536 | − | 2.06424i | −0.381135 | − | 0.220048i | ||||
\(89\) | 1.27469 | + | 4.75720i | 0.135117 | + | 0.504262i | 0.999997 | + | 0.00228491i | \(0.000727309\pi\) |
−0.864881 | + | 0.501977i | \(0.832606\pi\) | |||||||
\(90\) | 7.33225 | 0.772887 | ||||||||
\(91\) | 3.50844 | + | 8.87078i | 0.367785 | + | 0.929911i | ||||
\(92\) | 0.735811 | 0.0767136 | ||||||||
\(93\) | 0.254577 | + | 0.950093i | 0.0263984 | + | 0.0985201i | ||||
\(94\) | −3.73567 | − | 2.15679i | −0.385305 | − | 0.222456i | ||||
\(95\) | −15.3234 | + | 8.84698i | −1.57215 | + | 0.907681i | ||||
\(96\) | 0.402905 | + | 0.402905i | 0.0411213 | + | 0.0411213i | ||||
\(97\) | −2.37752 | + | 8.87303i | −0.241401 | + | 0.900920i | 0.733758 | + | 0.679411i | \(0.237765\pi\) |
−0.975158 | + | 0.221509i | \(0.928902\pi\) | |||||||
\(98\) | 9.46771 | + | 1.93771i | 0.956383 | + | 0.195738i | ||||
\(99\) | −1.86880 | − | 1.86880i | −0.187821 | − | 0.187821i | ||||
\(100\) | 0.152133 | + | 0.263502i | 0.0152133 | + | 0.0263502i | ||||
\(101\) | 3.27488 | − | 5.67227i | 0.325863 | − | 0.564412i | −0.655824 | − | 0.754914i | \(-0.727678\pi\) |
0.981687 | + | 0.190503i | \(0.0610118\pi\) | |||||||
\(102\) | −6.00184 | + | 1.60819i | −0.594271 | + | 0.159234i | ||||
\(103\) | −9.85541 | −0.971082 | −0.485541 | − | 0.874214i | \(-0.661377\pi\) | ||||
−0.485541 | + | 0.874214i | \(0.661377\pi\) | |||||||
\(104\) | −5.95815 | − | 8.55275i | −0.584245 | − | 0.838666i | ||||
\(105\) | −5.58080 | + | 5.92564i | −0.544630 | + | 0.578284i | ||||
\(106\) | −0.902174 | − | 3.36696i | −0.0876269 | − | 0.327028i | ||||
\(107\) | −5.29678 | + | 9.17430i | −0.512059 | + | 0.886913i | 0.487843 | + | 0.872931i | \(0.337784\pi\) |
−0.999902 | + | 0.0139814i | \(0.995549\pi\) | |||||||
\(108\) | 0.244501 | + | 0.423488i | 0.0235271 | + | 0.0407501i | ||||
\(109\) | 11.6691 | − | 11.6691i | 1.11770 | − | 1.11770i | 0.125617 | − | 0.992079i | \(-0.459909\pi\) |
0.992079 | − | 0.125617i | \(-0.0400911\pi\) | |||||||
\(110\) | −1.46437 | + | 5.46512i | −0.139623 | + | 0.521078i | ||||
\(111\) | 7.71182 | + | 2.06638i | 0.731974 | + | 0.196132i | ||||
\(112\) | −10.0575 | + | 0.301424i | −0.950346 | + | 0.0284819i | ||||
\(113\) | −0.322118 | − | 0.557925i | −0.0303023 | − | 0.0524851i | 0.850477 | − | 0.526013i | \(-0.176314\pi\) |
−0.880779 | + | 0.473528i | \(0.842980\pi\) | |||||||
\(114\) | 7.90288 | + | 4.56273i | 0.740172 | + | 0.427339i | ||||
\(115\) | −5.81201 | − | 21.6907i | −0.541973 | − | 2.02267i | ||||
\(116\) | − | 0.0830294i | − | 0.00770909i | ||||||
\(117\) | −2.26713 | − | 6.27574i | −0.209597 | − | 0.580193i | ||||
\(118\) | − | 8.08051i | − | 0.743871i | ||||||
\(119\) | −5.26302 | + | 9.78130i | −0.482461 | + | 0.896650i | ||||
\(120\) | 4.44717 | − | 7.70272i | 0.405969 | − | 0.703159i | ||||
\(121\) | −7.76013 | + | 4.48031i | −0.705467 | + | 0.407301i | ||||
\(122\) | 0.0833762 | + | 0.0833762i | 0.00754853 | + | 0.00754853i | ||||
\(123\) | 12.2982 | + | 3.29528i | 1.10889 | + | 0.297126i | ||||
\(124\) | −0.0833356 | − | 0.0223297i | −0.00748376 | − | 0.00200527i | ||||
\(125\) | −3.58022 | + | 3.58022i | −0.320225 | + | 0.320225i | ||||
\(126\) | −6.57898 | − | 1.55319i | −0.586102 | − | 0.138369i | ||||
\(127\) | −14.1284 | − | 8.15702i | −1.25369 | − | 0.723819i | −0.281850 | − | 0.959458i | \(-0.590948\pi\) |
−0.971841 | + | 0.235640i | \(0.924282\pi\) | |||||||
\(128\) | 10.0948 | − | 2.70488i | 0.892259 | − | 0.239080i | ||||
\(129\) | −1.00238 | −0.0882549 | ||||||||
\(130\) | −9.20845 | + | 10.9208i | −0.807634 | + | 0.957821i | ||||
\(131\) | 2.35280i | 0.205565i | 0.994704 | + | 0.102783i | \(0.0327746\pi\) | ||||
−0.994704 | + | 0.102783i | \(0.967225\pi\) | |||||||
\(132\) | −0.139059 | + | 0.0372608i | −0.0121036 | + | 0.00324314i | ||||
\(133\) | 15.6232 | − | 4.69215i | 1.35471 | − | 0.406861i | ||||
\(134\) | 1.23194 | − | 0.711259i | 0.106423 | − | 0.0614435i | ||||
\(135\) | 10.5526 | − | 10.5526i | 0.908222 | − | 0.908222i | ||||
\(136\) | 3.14122 | − | 11.7232i | 0.269358 | − | 1.00526i | ||||
\(137\) | 2.68838 | − | 10.0332i | 0.229683 | − | 0.857190i | −0.750790 | − | 0.660541i | \(-0.770327\pi\) |
0.980474 | − | 0.196650i | \(-0.0630062\pi\) | |||||||
\(138\) | −8.18926 | + | 8.18926i | −0.697116 | + | 0.697116i | ||||
\(139\) | 5.33208 | − | 3.07848i | 0.452261 | − | 0.261113i | −0.256524 | − | 0.966538i | \(-0.582577\pi\) |
0.708784 | + | 0.705425i | \(0.249244\pi\) | |||||||
\(140\) | −0.205368 | − | 0.683805i | −0.0173568 | − | 0.0577921i | ||||
\(141\) | −3.23553 | + | 0.866959i | −0.272481 | + | 0.0730111i | ||||
\(142\) | − | 4.00190i | − | 0.335832i | ||||||
\(143\) | 5.13043 | − | 0.436445i | 0.429028 | − | 0.0364974i | ||||
\(144\) | 7.03827 | 0.586523 | ||||||||
\(145\) | −2.44759 | + | 0.655831i | −0.203262 | + | 0.0544638i | ||||
\(146\) | −3.40583 | − | 1.96636i | −0.281869 | − | 0.162737i | ||||
\(147\) | 6.26269 | − | 4.13470i | 0.516538 | − | 0.341025i | ||||
\(148\) | −0.495179 | + | 0.495179i | −0.0407035 | + | 0.0407035i | ||||
\(149\) | −8.40965 | − | 2.25336i | −0.688945 | − | 0.184602i | −0.102672 | − | 0.994715i | \(-0.532739\pi\) |
−0.586274 | + | 0.810113i | \(0.699406\pi\) | |||||||
\(150\) | −4.62584 | − | 1.23949i | −0.377698 | − | 0.101204i | ||||
\(151\) | 9.55198 | + | 9.55198i | 0.777329 | + | 0.777329i | 0.979376 | − | 0.202047i | \(-0.0647593\pi\) |
−0.202047 | + | 0.979376i | \(0.564759\pi\) | |||||||
\(152\) | −15.4364 | + | 8.91223i | −1.25206 | + | 0.722877i | ||||
\(153\) | 3.88473 | − | 6.72855i | 0.314062 | − | 0.543971i | ||||
\(154\) | 2.47161 | − | 4.59347i | 0.199168 | − | 0.370152i | ||||
\(155\) | 2.63300i | 0.211487i | ||||||||
\(156\) | −0.357805 | − | 0.0639768i | −0.0286473 | − | 0.00512225i | ||||
\(157\) | − | 6.77973i | − | 0.541081i | −0.962709 | − | 0.270541i | \(-0.912798\pi\) | ||
0.962709 | − | 0.270541i | \(-0.0872024\pi\) | |||||||
\(158\) | −3.36974 | − | 12.5761i | −0.268082 | − | 1.00050i | ||||
\(159\) | −2.34417 | − | 1.35341i | −0.185905 | − | 0.107332i | ||||
\(160\) | 0.762632 | + | 1.32092i | 0.0602914 | + | 0.104428i | ||||
\(161\) | 0.620185 | + | 20.6935i | 0.0488774 | + | 1.63088i | ||||
\(162\) | −0.0306659 | − | 0.00821691i | −0.00240934 | − | 0.000645582i | ||||
\(163\) | −2.82752 | + | 10.5525i | −0.221469 | + | 0.826532i | 0.762320 | + | 0.647200i | \(0.224060\pi\) |
−0.983789 | + | 0.179332i | \(0.942606\pi\) | |||||||
\(164\) | −0.789670 | + | 0.789670i | −0.0616629 | + | 0.0616629i | ||||
\(165\) | 2.19680 | + | 3.80497i | 0.171020 | + | 0.296216i | ||||
\(166\) | 1.50375 | − | 2.60458i | 0.116714 | − | 0.202155i | ||||
\(167\) | 4.71387 | + | 17.5924i | 0.364770 | + | 1.36134i | 0.867732 | + | 0.497032i | \(0.165577\pi\) |
−0.502962 | + | 0.864308i | \(0.667756\pi\) | |||||||
\(168\) | −5.62196 | + | 5.96935i | −0.433743 | + | 0.460545i | ||||
\(169\) | 12.1945 | + | 4.50487i | 0.938039 | + | 0.346529i | ||||
\(170\) | −16.6329 | −1.27569 | ||||||||
\(171\) | −11.0217 | + | 2.95325i | −0.842850 | + | 0.225841i | ||||
\(172\) | 0.0439610 | − | 0.0761428i | 0.00335200 | − | 0.00580583i | ||||
\(173\) | −10.0761 | − | 17.4523i | −0.766070 | − | 1.32687i | −0.939679 | − | 0.342058i | \(-0.888876\pi\) |
0.173608 | − | 0.984815i | \(-0.444457\pi\) | |||||||
\(174\) | 0.924081 | + | 0.924081i | 0.0700544 | + | 0.0700544i | ||||
\(175\) | −7.28234 | + | 4.50059i | −0.550493 | + | 0.340213i | ||||
\(176\) | −1.40566 | + | 5.24600i | −0.105956 | + | 0.395432i | ||||
\(177\) | −4.43698 | − | 4.43698i | −0.333504 | − | 0.333504i | ||||
\(178\) | 5.88838 | − | 3.39966i | 0.441353 | − | 0.254815i | ||||
\(179\) | −14.3173 | − | 8.26609i | −1.07012 | − | 0.617837i | −0.141909 | − | 0.989880i | \(-0.545324\pi\) |
−0.928216 | + | 0.372043i | \(0.878657\pi\) | |||||||
\(180\) | 0.129259 | + | 0.482402i | 0.00963442 | + | 0.0359562i | ||||
\(181\) | 13.6897 | 1.01755 | 0.508774 | − | 0.860900i | \(-0.330099\pi\) | ||||
0.508774 | + | 0.860900i | \(0.330099\pi\) | |||||||
\(182\) | 10.5758 | − | 7.84828i | 0.783930 | − | 0.581753i | ||||
\(183\) | 0.0915633 | 0.00676855 | ||||||||
\(184\) | −5.85488 | − | 21.8507i | −0.431627 | − | 1.61085i | ||||
\(185\) | 18.5085 | + | 10.6859i | 1.36077 | + | 0.785643i | ||||
\(186\) | 1.17601 | − | 0.678969i | 0.0862292 | − | 0.0497844i | ||||
\(187\) | 4.23930 | + | 4.23930i | 0.310009 | + | 0.310009i | ||||
\(188\) | 0.0760436 | − | 0.283799i | 0.00554605 | − | 0.0206981i | ||||
\(189\) | −11.7038 | + | 7.23313i | −0.851329 | + | 0.526133i | ||||
\(190\) | 17.2730 | + | 17.2730i | 1.25311 | + | 1.25311i | ||||
\(191\) | 4.07445 | + | 7.05715i | 0.294817 | + | 0.510638i | 0.974942 | − | 0.222458i | \(-0.0714081\pi\) |
−0.680126 | + | 0.733096i | \(0.738075\pi\) | |||||||
\(192\) | 4.47049 | − | 7.74311i | 0.322629 | − | 0.558811i | ||||
\(193\) | −25.8745 | + | 6.93304i | −1.86249 | + | 0.499051i | −0.999976 | − | 0.00698876i | \(-0.997775\pi\) |
−0.862510 | + | 0.506040i | \(0.831109\pi\) | |||||||
\(194\) | 12.6819 | 0.910511 | ||||||||
\(195\) | 0.940271 | + | 11.0529i | 0.0673342 | + | 0.791517i | ||||
\(196\) | 0.0394195 | + | 0.657059i | 0.00281568 | + | 0.0469328i | ||||
\(197\) | 4.77033 | + | 17.8031i | 0.339872 | + | 1.26842i | 0.898490 | + | 0.438995i | \(0.144665\pi\) |
−0.558617 | + | 0.829426i | \(0.688668\pi\) | |||||||
\(198\) | −1.82434 | + | 3.15985i | −0.129650 | + | 0.224560i | ||||
\(199\) | −6.35578 | − | 11.0085i | −0.450550 | − | 0.780375i | 0.547871 | − | 0.836563i | \(-0.315439\pi\) |
−0.998420 | + | 0.0561884i | \(0.982105\pi\) | |||||||
\(200\) | 6.61444 | − | 6.61444i | 0.467712 | − | 0.467712i | ||||
\(201\) | 0.285903 | − | 1.06700i | 0.0201660 | − | 0.0752607i | ||||
\(202\) | −8.73428 | − | 2.34034i | −0.614542 | − | 0.164666i | ||||
\(203\) | 2.33507 | − | 0.0699820i | 0.163890 | − | 0.00491178i | ||||
\(204\) | −0.211612 | − | 0.366522i | −0.0148158 | − | 0.0256617i | ||||
\(205\) | 29.5158 | + | 17.0410i | 2.06147 | + | 1.19019i | ||||
\(206\) | 3.52150 | + | 13.1424i | 0.245355 | + | 0.915677i | ||||
\(207\) | − | 14.4814i | − | 1.00652i | ||||||
\(208\) | −8.83925 | + | 10.4830i | −0.612892 | + | 0.726864i | ||||
\(209\) | − | 8.80488i | − | 0.609046i | ||||||
\(210\) | 9.89611 | + | 5.32480i | 0.682897 | + | 0.367446i | ||||
\(211\) | −2.26459 | + | 3.92239i | −0.155901 | + | 0.270028i | −0.933387 | − | 0.358872i | \(-0.883161\pi\) |
0.777486 | + | 0.628900i | \(0.216495\pi\) | |||||||
\(212\) | 0.205614 | − | 0.118712i | 0.0141217 | − | 0.00815314i | ||||
\(213\) | −2.19743 | − | 2.19743i | −0.150565 | − | 0.150565i | ||||
\(214\) | 14.1268 | + | 3.78526i | 0.965688 | + | 0.258755i | ||||
\(215\) | −2.59182 | − | 0.694477i | −0.176761 | − | 0.0473629i | ||||
\(216\) | 10.6304 | − | 10.6304i | 0.723308 | − | 0.723308i | ||||
\(217\) | 0.557747 | − | 2.36250i | 0.0378623 | − | 0.160377i | ||||
\(218\) | −19.7306 | − | 11.3915i | −1.33632 | − | 0.771527i | ||||
\(219\) | −2.94986 | + | 0.790412i | −0.199333 | + | 0.0534111i | ||||
\(220\) | −0.385376 | −0.0259820 | ||||||||
\(221\) | 5.14291 | + | 14.2363i | 0.345950 | + | 0.957637i | ||||
\(222\) | − | 11.0223i | − | 0.739766i | ||||||
\(223\) | 22.4788 | − | 6.02318i | 1.50529 | − | 0.403342i | 0.590423 | − | 0.807094i | \(-0.298961\pi\) |
0.914868 | + | 0.403752i | \(0.132294\pi\) | |||||||
\(224\) | −0.404475 | − | 1.34676i | −0.0270251 | − | 0.0899844i | ||||
\(225\) | 5.18593 | − | 2.99410i | 0.345729 | − | 0.199607i | ||||
\(226\) | −0.628909 | + | 0.628909i | −0.0418344 | + | 0.0418344i | ||||
\(227\) | 2.69786 | − | 10.0685i | 0.179063 | − | 0.668273i | −0.816761 | − | 0.576977i | \(-0.804232\pi\) |
0.995824 | − | 0.0912961i | \(-0.0291010\pi\) | |||||||
\(228\) | −0.160872 | + | 0.600381i | −0.0106540 | + | 0.0397612i | ||||
\(229\) | 1.36381 | − | 1.36381i | 0.0901234 | − | 0.0901234i | −0.660608 | − | 0.750731i | \(-0.729701\pi\) |
0.750731 | + | 0.660608i | \(0.229701\pi\) | |||||||
\(230\) | −26.8484 | + | 15.5009i | −1.77033 | + | 1.02210i | ||||
\(231\) | −1.16511 | − | 3.87942i | −0.0766585 | − | 0.255247i | ||||
\(232\) | −2.46565 | + | 0.660668i | −0.161878 | + | 0.0433750i | ||||
\(233\) | − | 8.59532i | − | 0.563098i | −0.959547 | − | 0.281549i | \(-0.909152\pi\) | ||
0.959547 | − | 0.281549i | \(-0.0908482\pi\) | |||||||
\(234\) | −7.55878 | + | 5.26571i | −0.494133 | + | 0.344230i | ||||
\(235\) | −8.96665 | −0.584920 | ||||||||
\(236\) | 0.531632 | − | 0.142450i | 0.0346063 | − | 0.00927273i | ||||
\(237\) | −8.75580 | − | 5.05516i | −0.568750 | − | 0.328368i | ||||
\(238\) | 14.9242 | + | 3.52335i | 0.967391 | + | 0.228385i | ||||
\(239\) | −6.45158 | + | 6.45158i | −0.417318 | + | 0.417318i | −0.884278 | − | 0.466960i | \(-0.845349\pi\) |
0.466960 | + | 0.884278i | \(0.345349\pi\) | |||||||
\(240\) | −11.3019 | − | 3.02834i | −0.729536 | − | 0.195479i | ||||
\(241\) | −4.21497 | − | 1.12940i | −0.271510 | − | 0.0727509i | 0.120495 | − | 0.992714i | \(-0.461552\pi\) |
−0.392005 | + | 0.919963i | \(0.628218\pi\) | |||||||
\(242\) | 8.74744 | + | 8.74744i | 0.562307 | + | 0.562307i | ||||
\(243\) | 13.4893 | − | 7.78804i | 0.865338 | − | 0.499603i | ||||
\(244\) | −0.00401565 | + | 0.00695531i | −0.000257076 | + | 0.000445268i | ||||
\(245\) | 19.0578 | − | 6.35199i | 1.21756 | − | 0.405814i | ||||
\(246\) | − | 17.5774i | − | 1.12069i | ||||||
\(247\) | 9.44331 | − | 20.1249i | 0.600863 | − | 1.28052i | ||||
\(248\) | 2.65242i | 0.168429i | ||||||||
\(249\) | −0.604460 | − | 2.25588i | −0.0383061 | − | 0.142960i | ||||
\(250\) | 6.05359 | + | 3.49504i | 0.382863 | + | 0.221046i | ||||
\(251\) | 2.27953 | + | 3.94826i | 0.143883 | + | 0.249212i | 0.928956 | − | 0.370191i | \(-0.120708\pi\) |
−0.785073 | + | 0.619403i | \(0.787375\pi\) | |||||||
\(252\) | −0.0137929 | − | 0.460225i | −0.000868873 | − | 0.0289914i | ||||
\(253\) | 10.7937 | + | 2.89218i | 0.678597 | + | 0.181830i | ||||
\(254\) | −5.82929 | + | 21.7552i | −0.365762 | + | 1.36504i | ||||
\(255\) | −9.13310 | + | 9.13310i | −0.571937 | + | 0.571937i | ||||
\(256\) | 1.12588 | + | 1.95008i | 0.0703674 | + | 0.121880i | ||||
\(257\) | −4.31666 | + | 7.47667i | −0.269266 | + | 0.466382i | −0.968672 | − | 0.248342i | \(-0.920114\pi\) |
0.699407 | + | 0.714724i | \(0.253448\pi\) | |||||||
\(258\) | 0.358169 | + | 1.33670i | 0.0222986 | + | 0.0832195i | ||||
\(259\) | −14.3435 | − | 13.5088i | −0.891261 | − | 0.839393i | ||||
\(260\) | −0.880838 | − | 0.413319i | −0.0546272 | − | 0.0256330i | ||||
\(261\) | −1.63409 | −0.101147 | ||||||||
\(262\) | 3.13752 | − | 0.840697i | 0.193837 | − | 0.0519384i | ||||
\(263\) | 6.53143 | − | 11.3128i | 0.402745 | − | 0.697575i | −0.591311 | − | 0.806444i | \(-0.701389\pi\) |
0.994056 | + | 0.108868i | \(0.0347227\pi\) | |||||||
\(264\) | 2.21300 | + | 3.83303i | 0.136201 | + | 0.235907i | ||||
\(265\) | −5.12356 | − | 5.12356i | −0.314738 | − | 0.314738i | ||||
\(266\) | −11.8395 | − | 19.1574i | −0.725929 | − | 1.17462i | ||||
\(267\) | 1.36655 | − | 5.10004i | 0.0836316 | − | 0.312117i | ||||
\(268\) | 0.0685128 | + | 0.0685128i | 0.00418509 | + | 0.00418509i | ||||
\(269\) | −10.8756 | + | 6.27901i | −0.663095 | + | 0.382838i | −0.793455 | − | 0.608629i | \(-0.791720\pi\) |
0.130360 | + | 0.991467i | \(0.458387\pi\) | |||||||
\(270\) | −17.8428 | − | 10.3015i | −1.08588 | − | 0.626931i | ||||
\(271\) | 1.19419 | + | 4.45677i | 0.0725418 | + | 0.270730i | 0.992665 | − | 0.120900i | \(-0.0385781\pi\) |
−0.920123 | + | 0.391630i | \(0.871911\pi\) | |||||||
\(272\) | −15.9661 | −0.968085 | ||||||||
\(273\) | 1.49767 | − | 10.1166i | 0.0906429 | − | 0.612285i | ||||
\(274\) | −14.3401 | −0.866315 | ||||||||
\(275\) | 1.19595 | + | 4.46333i | 0.0721182 | + | 0.269149i | ||||
\(276\) | −0.683155 | − | 0.394420i | −0.0411211 | − | 0.0237413i | ||||
\(277\) | −1.44840 | + | 0.836232i | −0.0870257 | + | 0.0502443i | −0.542881 | − | 0.839809i | \(-0.682667\pi\) |
0.455856 | + | 0.890054i | \(0.349333\pi\) | |||||||
\(278\) | −6.01047 | − | 6.01047i | −0.360484 | − | 0.360484i | ||||
\(279\) | −0.439467 | + | 1.64011i | −0.0263102 | + | 0.0981910i | ||||
\(280\) | −18.6722 | + | 11.5397i | −1.11588 | + | 0.689628i | ||||
\(281\) | −13.9259 | − | 13.9259i | −0.830749 | − | 0.830749i | 0.156870 | − | 0.987619i | \(-0.449860\pi\) |
−0.987619 | + | 0.156870i | \(0.949860\pi\) | |||||||
\(282\) | 2.31222 | + | 4.00489i | 0.137691 | + | 0.238488i | ||||
\(283\) | −16.4969 | + | 28.5736i | −0.980642 | + | 1.69852i | −0.320744 | + | 0.947166i | \(0.603933\pi\) |
−0.659897 | + | 0.751356i | \(0.729400\pi\) | |||||||
\(284\) | 0.263292 | − | 0.0705490i | 0.0156235 | − | 0.00418631i | ||||
\(285\) | 18.9691 | 1.12363 | ||||||||
\(286\) | −2.41520 | − | 6.68561i | −0.142814 | − | 0.395329i | ||||
\(287\) | −22.8738 | − | 21.5426i | −1.35020 | − | 1.27162i | ||||
\(288\) | 0.254578 | + | 0.950098i | 0.0150012 | + | 0.0559851i | ||||
\(289\) | −0.312374 | + | 0.541047i | −0.0183749 | + | 0.0318263i | ||||
\(290\) | 1.74913 | + | 3.02959i | 0.102713 | + | 0.177904i | ||||
\(291\) | 6.96362 | − | 6.96362i | 0.408215 | − | 0.408215i | ||||
\(292\) | 0.0693294 | − | 0.258741i | 0.00405720 | − | 0.0151417i | ||||
\(293\) | −21.2120 | − | 5.68375i | −1.23922 | − | 0.332048i | −0.421057 | − | 0.907034i | \(-0.638341\pi\) |
−0.818163 | + | 0.574986i | \(0.805007\pi\) | |||||||
\(294\) | −7.75150 | − | 6.87406i | −0.452077 | − | 0.400903i | ||||
\(295\) | −8.39849 | − | 14.5466i | −0.488979 | − | 0.846936i | ||||
\(296\) | 18.6450 | + | 10.7647i | 1.08372 | + | 0.625686i | ||||
\(297\) | 1.92207 | + | 7.17325i | 0.111530 | + | 0.416234i | ||||
\(298\) | 12.0196i | 0.696279i | ||||||||
\(299\) | 21.5689 | + | 18.1869i | 1.24736 | + | 1.05178i | ||||
\(300\) | − | 0.326193i | − | 0.0188328i | ||||||
\(301\) | 2.17845 | + | 1.17216i | 0.125564 | + | 0.0675620i | ||||
\(302\) | 9.32472 | − | 16.1509i | 0.536578 | − | 0.929380i | ||||
\(303\) | −6.08105 | + | 3.51090i | −0.349347 | + | 0.201696i | ||||
\(304\) | 16.5805 | + | 16.5805i | 0.950955 | + | 0.950955i | ||||
\(305\) | 0.236752 | + | 0.0634374i | 0.0135564 | + | 0.00363242i | ||||
\(306\) | −10.3608 | − | 2.77616i | −0.592286 | − | 0.158703i | ||||
\(307\) | −13.7833 | + | 13.7833i | −0.786656 | + | 0.786656i | −0.980944 | − | 0.194289i | \(-0.937760\pi\) |
0.194289 | + | 0.980944i | \(0.437760\pi\) | |||||||
\(308\) | 0.345785 | + | 0.0816340i | 0.0197029 | + | 0.00465153i | ||||
\(309\) | 9.15013 | + | 5.28283i | 0.520533 | + | 0.300530i | ||||
\(310\) | 3.51117 | − | 0.940815i | 0.199421 | − | 0.0534347i | ||||
\(311\) | 25.8267 | 1.46450 | 0.732248 | − | 0.681038i | \(-0.238471\pi\) | ||||
0.732248 | + | 0.681038i | \(0.238471\pi\) | |||||||
\(312\) | 0.947206 | + | 11.1345i | 0.0536250 | + | 0.630365i | ||||
\(313\) | − | 28.6662i | − | 1.62031i | −0.586216 | − | 0.810155i | \(-0.699383\pi\) | ||
0.586216 | − | 0.810155i | \(-0.300617\pi\) | |||||||
\(314\) | −9.04094 | + | 2.42251i | −0.510210 | + | 0.136710i | ||||
\(315\) | −13.4578 | + | 4.04181i | −0.758264 | + | 0.227730i | ||||
\(316\) | 0.767998 | − | 0.443404i | 0.0432033 | − | 0.0249434i | ||||
\(317\) | 8.81498 | − | 8.81498i | 0.495098 | − | 0.495098i | −0.414810 | − | 0.909908i | \(-0.636152\pi\) |
0.909908 | + | 0.414810i | \(0.136152\pi\) | |||||||
\(318\) | −0.967191 | + | 3.60961i | −0.0542374 | + | 0.202417i | ||||
\(319\) | 0.326355 | − | 1.21797i | 0.0182724 | − | 0.0681934i | ||||
\(320\) | 16.9238 | − | 16.9238i | 0.946069 | − | 0.946069i | ||||
\(321\) | 9.83546 | − | 5.67851i | 0.548962 | − | 0.316943i | ||||
\(322\) | 27.3737 | − | 8.22118i | 1.52548 | − | 0.458148i | ||||
\(323\) | 25.0023 | − | 6.69935i | 1.39117 | − | 0.372762i | ||||
\(324\) | − | 0.00216243i | − | 0.000120135i | ||||||
\(325\) | −2.05344 | + | 11.4843i | −0.113904 | + | 0.637035i | ||||
\(326\) | 15.0823 | 0.835331 | ||||||||
\(327\) | −17.0890 | + | 4.57899i | −0.945026 | + | 0.253219i | ||||
\(328\) | 29.7335 | + | 17.1667i | 1.64176 | + | 0.947870i | ||||
\(329\) | 8.04548 | + | 1.89940i | 0.443561 | + | 0.104717i | ||||
\(330\) | 4.28907 | − | 4.28907i | 0.236105 | − | 0.236105i | ||||
\(331\) | −28.9319 | − | 7.75229i | −1.59024 | − | 0.426104i | −0.648166 | − | 0.761499i | \(-0.724464\pi\) |
−0.942078 | + | 0.335395i | \(0.891130\pi\) | |||||||
\(332\) | 0.197870 | + | 0.0530190i | 0.0108595 | + | 0.00290980i | ||||
\(333\) | 9.74554 | + | 9.74554i | 0.534052 | + | 0.534052i | ||||
\(334\) | 21.7756 | − | 12.5721i | 1.19151 | − | 0.687916i | ||||
\(335\) | 1.47850 | − | 2.56083i | 0.0807789 | − | 0.139913i | ||||
\(336\) | 9.49934 | + | 5.11131i | 0.518232 | + | 0.278845i | ||||
\(337\) | 13.4402i | 0.732137i | 0.930588 | + | 0.366068i | \(0.119296\pi\) | ||||
−0.930588 | + | 0.366068i | \(0.880704\pi\) | |||||||
\(338\) | 1.65005 | − | 17.8714i | 0.0897511 | − | 0.972074i | ||||
\(339\) | 0.690664i | 0.0375117i | ||||||||
\(340\) | −0.293220 | − | 1.09431i | −0.0159021 | − | 0.0593474i | ||||
\(341\) | −1.13470 | − | 0.655117i | −0.0614472 | − | 0.0354766i | ||||
\(342\) | 7.87648 | + | 13.6425i | 0.425911 | + | 0.737700i | ||||
\(343\) | −18.4455 | + | 1.66242i | −0.995963 | + | 0.0897621i | ||||
\(344\) | −2.61094 | − | 0.699599i | −0.140772 | − | 0.0377199i | ||||
\(345\) | −6.23087 | + | 23.2539i | −0.335459 | + | 1.25195i | ||||
\(346\) | −19.6727 | + | 19.6727i | −1.05761 | + | 1.05761i | ||||
\(347\) | 7.24936 | + | 12.5563i | 0.389166 | + | 0.674055i | 0.992338 | − | 0.123556i | \(-0.0394299\pi\) |
−0.603172 | + | 0.797611i | \(0.706097\pi\) | |||||||
\(348\) | −0.0445066 | + | 0.0770876i | −0.00238580 | + | 0.00413233i | ||||
\(349\) | −5.68220 | − | 21.2063i | −0.304161 | − | 1.13515i | −0.933665 | − | 0.358148i | \(-0.883408\pi\) |
0.629504 | − | 0.776998i | \(-0.283258\pi\) | |||||||
\(350\) | 8.60376 | + | 8.10305i | 0.459890 | + | 0.433126i | ||||
\(351\) | −3.30019 | + | 18.4570i | −0.176151 | + | 0.985163i | ||||
\(352\) | −0.759003 | −0.0404550 | ||||||||
\(353\) | −11.1538 | + | 2.98864i | −0.593655 | + | 0.159069i | −0.543123 | − | 0.839653i | \(-0.682758\pi\) |
−0.0505316 | + | 0.998722i | \(0.516092\pi\) | |||||||
\(354\) | −4.33142 | + | 7.50224i | −0.230212 | + | 0.398740i | ||||
\(355\) | −4.15938 | − | 7.20425i | −0.220757 | − | 0.382362i | ||||
\(356\) | 0.327476 | + | 0.327476i | 0.0173562 | + | 0.0173562i | ||||
\(357\) | 10.1295 | − | 6.26017i | 0.536110 | − | 0.331323i | ||||
\(358\) | −5.90723 | + | 22.0461i | −0.312207 | + | 1.16517i | ||||
\(359\) | −0.631018 | − | 0.631018i | −0.0333039 | − | 0.0333039i | 0.690259 | − | 0.723563i | \(-0.257497\pi\) |
−0.723563 | + | 0.690259i | \(0.757497\pi\) | |||||||
\(360\) | 13.2969 | − | 7.67699i | 0.700810 | − | 0.404613i | ||||
\(361\) | −16.4671 | − | 9.50729i | −0.866690 | − | 0.500384i | ||||
\(362\) | −4.89156 | − | 18.2556i | −0.257095 | − | 0.959491i | ||||
\(363\) | 9.60639 | 0.504205 | ||||||||
\(364\) | 0.702793 | + | 0.557445i | 0.0368364 | + | 0.0292181i | ||||
\(365\) | −8.17495 | −0.427897 | ||||||||
\(366\) | −0.0327171 | − | 0.122102i | −0.00171015 | − | 0.00638237i | ||||
\(367\) | −12.5341 | − | 7.23654i | −0.654273 | − | 0.377744i | 0.135819 | − | 0.990734i | \(-0.456634\pi\) |
−0.790091 | + | 0.612989i | \(0.789967\pi\) | |||||||
\(368\) | −25.7720 | + | 14.8794i | −1.34346 | + | 0.775645i | ||||
\(369\) | 15.5414 | + | 15.5414i | 0.809051 | + | 0.809051i | ||||
\(370\) | 7.63651 | − | 28.4998i | 0.397003 | − | 1.48164i | ||||
\(371\) | 3.51187 | + | 5.68252i | 0.182327 | + | 0.295022i | ||||
\(372\) | 0.0654024 | + | 0.0654024i | 0.00339096 | + | 0.00339096i | ||||
\(373\) | −10.4635 | − | 18.1233i | −0.541778 | − | 0.938387i | −0.998802 | − | 0.0489327i | \(-0.984418\pi\) |
0.457024 | − | 0.889454i | \(-0.348915\pi\) | |||||||
\(374\) | 4.13844 | − | 7.16800i | 0.213994 | − | 0.370648i | ||||
\(375\) | 5.24313 | − | 1.40489i | 0.270754 | − | 0.0725483i | ||||
\(376\) | −9.03278 | −0.465830 | ||||||||
\(377\) | 2.05222 | − | 2.43385i | 0.105695 | − | 0.125350i | ||||
\(378\) | 13.8275 | + | 13.0228i | 0.711212 | + | 0.669823i | ||||
\(379\) | −5.53128 | − | 20.6430i | −0.284123 | − | 1.06036i | −0.949478 | − | 0.313834i | \(-0.898387\pi\) |
0.665355 | − | 0.746527i | \(-0.268280\pi\) | |||||||
\(380\) | −0.831920 | + | 1.44093i | −0.0426766 | + | 0.0739180i | ||||
\(381\) | 8.74488 | + | 15.1466i | 0.448014 | + | 0.775982i | ||||
\(382\) | 7.95502 | − | 7.95502i | 0.407014 | − | 0.407014i | ||||
\(383\) | −4.63937 | + | 17.3144i | −0.237061 | + | 0.884723i | 0.740148 | + | 0.672444i | \(0.234755\pi\) |
−0.977209 | + | 0.212279i | \(0.931911\pi\) | |||||||
\(384\) | −10.8223 | − | 2.89981i | −0.552271 | − | 0.147981i | ||||
\(385\) | −0.324817 | − | 10.8381i | −0.0165542 | − | 0.552360i | ||||
\(386\) | 18.4908 | + | 32.0270i | 0.941156 | + | 1.63013i | ||||
\(387\) | −1.49855 | − | 0.865189i | −0.0761757 | − | 0.0439800i | ||||
\(388\) | 0.223569 | + | 0.834369i | 0.0113500 | + | 0.0423587i | ||||
\(389\) | 4.86154i | 0.246490i | 0.992376 | + | 0.123245i | \(0.0393301\pi\) | ||||
−0.992376 | + | 0.123245i | \(0.960670\pi\) | |||||||
\(390\) | 14.4034 | − | 5.20328i | 0.729345 | − | 0.263478i | ||||
\(391\) | 32.8505i | 1.66132i | ||||||||
\(392\) | 19.1984 | − | 6.39884i | 0.969665 | − | 0.323190i | ||||
\(393\) | 1.26118 | − | 2.18443i | 0.0636182 | − | 0.110190i | ||||
\(394\) | 22.0364 | − | 12.7227i | 1.11018 | − | 0.640962i | ||||
\(395\) | −19.1372 | − | 19.1372i | −0.962896 | − | 0.962896i | ||||
\(396\) | −0.240053 | − | 0.0643221i | −0.0120631 | − | 0.00323231i | ||||
\(397\) | 18.8967 | + | 5.06335i | 0.948397 | + | 0.254122i | 0.699682 | − | 0.714455i | \(-0.253325\pi\) |
0.248715 | + | 0.968577i | \(0.419992\pi\) | |||||||
\(398\) | −12.4091 | + | 12.4091i | −0.622014 | + | 0.622014i | ||||
\(399\) | −17.0204 | − | 4.01822i | −0.852083 | − | 0.201163i | ||||
\(400\) | −10.6570 | − | 6.15281i | −0.532849 | − | 0.307640i | ||||
\(401\) | 4.15019 | − | 1.11204i | 0.207251 | − | 0.0555327i | −0.153700 | − | 0.988118i | \(-0.549119\pi\) |
0.360951 | + | 0.932585i | \(0.382452\pi\) | |||||||
\(402\) | −1.52504 | −0.0760619 | ||||||||
\(403\) | −1.89091 | − | 2.71434i | −0.0941928 | − | 0.135211i | ||||
\(404\) | − | 0.615903i | − | 0.0306423i | ||||||
\(405\) | −0.0637454 | + | 0.0170805i | −0.00316753 | + | 0.000848738i | ||||
\(406\) | −0.927683 | − | 3.08887i | −0.0460401 | − | 0.153298i | ||||
\(407\) | −9.21022 | + | 5.31752i | −0.456534 | + | 0.263580i | ||||
\(408\) | −9.20046 | + | 9.20046i | −0.455491 | + | 0.455491i | ||||
\(409\) | −7.85062 | + | 29.2989i | −0.388188 | + | 1.44874i | 0.444891 | + | 0.895585i | \(0.353242\pi\) |
−0.833079 | + | 0.553154i | \(0.813424\pi\) | |||||||
\(410\) | 12.1781 | − | 45.4491i | 0.601432 | − | 2.24457i | ||||
\(411\) | −7.87410 | + | 7.87410i | −0.388401 | + | 0.388401i | ||||
\(412\) | −0.802586 | + | 0.463373i | −0.0395406 | + | 0.0228288i | ||||
\(413\) | 4.45428 | + | 14.8312i | 0.219181 | + | 0.729797i | ||||
\(414\) | −19.3113 | + | 5.17444i | −0.949098 | + | 0.254310i | ||||
\(415\) | − | 6.25172i | − | 0.306885i | ||||||
\(416\) | −1.73482 | − | 0.814037i | −0.0850566 | − | 0.0399115i | ||||
\(417\) | −6.60066 | −0.323236 | ||||||||
\(418\) | −11.7415 | + | 3.14613i | −0.574297 | + | 0.153882i | ||||
\(419\) | −6.87240 | − | 3.96778i | −0.335739 | − | 0.193839i | 0.322647 | − | 0.946519i | \(-0.395427\pi\) |
−0.658386 | + | 0.752680i | \(0.728761\pi\) | |||||||
\(420\) | −0.175871 | + | 0.744954i | −0.00858164 | + | 0.0363501i | ||||
\(421\) | −5.98090 | + | 5.98090i | −0.291491 | + | 0.291491i | −0.837669 | − | 0.546178i | \(-0.816082\pi\) |
0.546178 | + | 0.837669i | \(0.316082\pi\) | |||||||
\(422\) | 6.03978 | + | 1.61835i | 0.294012 | + | 0.0787802i | ||||
\(423\) | −5.58539 | − | 1.49660i | −0.271571 | − | 0.0727672i | ||||
\(424\) | −5.16134 | − | 5.16134i | −0.250657 | − | 0.250657i | ||||
\(425\) | −11.7641 | + | 6.79201i | −0.570643 | + | 0.329461i | ||||
\(426\) | −2.14515 | + | 3.71551i | −0.103933 | + | 0.180017i | ||||
\(427\) | −0.198992 | − | 0.107071i | −0.00962987 | − | 0.00518155i | ||||
\(428\) | 0.996159i | 0.0481511i | ||||||||
\(429\) | −4.99724 | − | 2.34487i | −0.241269 | − | 0.113212i | ||||
\(430\) | 3.70441i | 0.178643i | ||||||||
\(431\) | 0.149741 | + | 0.558842i | 0.00721278 | + | 0.0269185i | 0.969438 | − | 0.245335i | \(-0.0788979\pi\) |
−0.962226 | + | 0.272253i | \(0.912231\pi\) | |||||||
\(432\) | −17.1274 | − | 9.88850i | −0.824042 | − | 0.475761i | ||||
\(433\) | 4.11334 | + | 7.12452i | 0.197675 | + | 0.342382i | 0.947774 | − | 0.318943i | \(-0.103328\pi\) |
−0.750099 | + | 0.661325i | \(0.769994\pi\) | |||||||
\(434\) | −3.34975 | + | 0.100392i | −0.160793 | + | 0.00481897i | ||||
\(435\) | 2.62399 | + | 0.703095i | 0.125810 | + | 0.0337108i | ||||
\(436\) | 0.401638 | − | 1.49893i | 0.0192350 | − | 0.0717858i | ||||
\(437\) | 34.1146 | − | 34.1146i | 1.63192 | − | 1.63192i | ||||
\(438\) | 2.10807 | + | 3.65128i | 0.100727 | + | 0.174465i | ||||
\(439\) | 6.36168 | − | 11.0188i | 0.303626 | − | 0.525896i | −0.673328 | − | 0.739344i | \(-0.735136\pi\) |
0.976955 | + | 0.213447i | \(0.0684692\pi\) | |||||||
\(440\) | 3.06645 | + | 11.4441i | 0.146187 | + | 0.545578i | ||||
\(441\) | 12.9315 | − | 0.775808i | 0.615784 | − | 0.0369433i | ||||
\(442\) | 17.1468 | − | 11.9451i | 0.815591 | − | 0.568169i | ||||
\(443\) | −2.23067 | −0.105982 | −0.0529912 | − | 0.998595i | \(-0.516876\pi\) | ||||
−0.0529912 | + | 0.998595i | \(0.516876\pi\) | |||||||
\(444\) | 0.725176 | − | 0.194310i | 0.0344153 | − | 0.00922156i | ||||
\(445\) | 7.06688 | − | 12.2402i | 0.335002 | − | 0.580241i | ||||
\(446\) | −16.0641 | − | 27.8239i | −0.760658 | − | 1.31750i | ||||
\(447\) | 6.59996 | + | 6.59996i | 0.312167 | + | 0.312167i | ||||
\(448\) | −18.7701 | + | 11.6002i | −0.886805 | + | 0.548058i | ||||
\(449\) | 10.0883 | − | 37.6500i | 0.476096 | − | 1.77682i | −0.141088 | − | 0.989997i | \(-0.545060\pi\) |
0.617184 | − | 0.786819i | \(-0.288273\pi\) | |||||||
\(450\) | −5.84573 | − | 5.84573i | −0.275570 | − | 0.275570i | ||||
\(451\) | −14.6877 | + | 8.47994i | −0.691616 | + | 0.399305i | ||||
\(452\) | −0.0524641 | − | 0.0302901i | −0.00246770 | − | 0.00142473i | ||||
\(453\) | −3.74823 | − | 13.9886i | −0.176107 | − | 0.657242i | ||||
\(454\) | −14.3906 | −0.675387 | ||||||||
\(455\) | 10.8815 | − | 25.1205i | 0.510133 | − | 1.17767i | ||||
\(456\) | 19.1090 | 0.894862 | ||||||||
\(457\) | 5.96003 | + | 22.2431i | 0.278798 | + | 1.04049i | 0.953253 | + | 0.302174i | \(0.0977122\pi\) |
−0.674455 | + | 0.738316i | \(0.735621\pi\) | |||||||
\(458\) | −2.30600 | − | 1.33137i | −0.107752 | − | 0.0622107i | ||||
\(459\) | −18.9067 | + | 10.9158i | −0.882490 | + | 0.509506i | ||||
\(460\) | −1.49314 | − | 1.49314i | −0.0696182 | − | 0.0696182i | ||||
\(461\) | 7.81461 | − | 29.1645i | 0.363962 | − | 1.35833i | −0.504859 | − | 0.863202i | \(-0.668456\pi\) |
0.868822 | − | 0.495125i | \(-0.164878\pi\) | |||||||
\(462\) | −4.75699 | + | 2.93988i | −0.221315 | + | 0.136776i | ||||
\(463\) | 2.19856 | + | 2.19856i | 0.102176 | + | 0.102176i | 0.756347 | − | 0.654171i | \(-0.226982\pi\) |
−0.654171 | + | 0.756347i | \(0.726982\pi\) | |||||||
\(464\) | 1.67901 | + | 2.90812i | 0.0779459 | + | 0.135006i | ||||
\(465\) | 1.41137 | − | 2.44457i | 0.0654509 | − | 0.113364i | ||||
\(466\) | −11.4621 | + | 3.07126i | −0.530971 | + | 0.142273i | ||||
\(467\) | −21.1712 | −0.979688 | −0.489844 | − | 0.871810i | \(-0.662946\pi\) | ||||
−0.489844 | + | 0.871810i | \(0.662946\pi\) | |||||||
\(468\) | −0.479694 | − | 0.404478i | −0.0221739 | − | 0.0186970i | ||||
\(469\) | −1.86907 | + | 1.98456i | −0.0863055 | + | 0.0916384i | ||||
\(470\) | 3.20394 | + | 11.9573i | 0.147787 | + | 0.551547i | ||||
\(471\) | −3.63416 | + | 6.29455i | −0.167453 | + | 0.290038i | ||||
\(472\) | −8.46043 | − | 14.6539i | −0.389423 | − | 0.674500i | ||||
\(473\) | 0.944158 | − | 0.944158i | 0.0434125 | − | 0.0434125i | ||||
\(474\) | −3.61259 | + | 13.4824i | −0.165932 | + | 0.619266i | ||||
\(475\) | 19.2702 | + | 5.16343i | 0.884176 | + | 0.236914i | ||||
\(476\) | 0.0312888 | + | 1.04400i | 0.00143412 | + | 0.0478518i | ||||
\(477\) | −2.33634 | − | 4.04666i | −0.106974 | − | 0.185284i | ||||
\(478\) | 10.9086 | + | 6.29809i | 0.498948 | + | 0.288068i | ||||
\(479\) | 6.21539 | + | 23.1962i | 0.283988 | + | 1.05986i | 0.949575 | + | 0.313539i | \(0.101515\pi\) |
−0.665587 | + | 0.746320i | \(0.731819\pi\) | |||||||
\(480\) | − | 1.63519i | − | 0.0746357i | ||||||
\(481\) | −26.7545 | + | 2.27600i | −1.21990 | + | 0.103777i | ||||
\(482\) | 6.02432i | 0.274400i | ||||||||
\(483\) | 10.5166 | − | 19.5451i | 0.478523 | − | 0.889332i | ||||
\(484\) | −0.421303 | + | 0.729719i | −0.0191501 | + | 0.0331690i | ||||
\(485\) | 22.8302 | − | 13.1810i | 1.03666 | − | 0.598518i | ||||
\(486\) | −15.2055 | − | 15.2055i | −0.689736 | − | 0.689736i | ||||
\(487\) | 32.9158 | + | 8.81975i | 1.49156 | + | 0.399661i | 0.910262 | − | 0.414032i | \(-0.135880\pi\) |
0.581294 | + | 0.813694i | \(0.302547\pi\) | |||||||
\(488\) | 0.238498 | + | 0.0639053i | 0.0107963 | + | 0.00289286i | ||||
\(489\) | 8.28165 | − | 8.28165i | 0.374509 | − | 0.374509i | ||||
\(490\) | −15.2802 | − | 23.1444i | −0.690291 | − | 1.04556i | ||||
\(491\) | 12.2688 | + | 7.08337i | 0.553681 | + | 0.319668i | 0.750605 | − | 0.660751i | \(-0.229762\pi\) |
−0.196924 | + | 0.980419i | \(0.563095\pi\) | |||||||
\(492\) | 1.15645 | − | 0.309869i | 0.0521367 | − | 0.0139700i | ||||
\(493\) | 3.70687 | 0.166949 | ||||||||
\(494\) | −30.2114 | − | 5.40191i | −1.35927 | − | 0.243043i | ||||
\(495\) | 7.58451i | 0.340898i | ||||||||
\(496\) | 3.37039 | − | 0.903094i | 0.151335 | − | 0.0405501i | ||||
\(497\) | 2.20600 | + | 7.34521i | 0.0989524 | + | 0.329478i | ||||
\(498\) | −2.79228 | + | 1.61213i | −0.125125 | + | 0.0722411i | ||||
\(499\) | −21.0854 | + | 21.0854i | −0.943912 | + | 0.943912i | −0.998509 | − | 0.0545964i | \(-0.982613\pi\) |
0.0545964 | + | 0.998509i | \(0.482613\pi\) | |||||||
\(500\) | −0.123227 | + | 0.459891i | −0.00551090 | + | 0.0205670i | ||||
\(501\) | 5.05358 | − | 18.8602i | 0.225777 | − | 0.842613i | ||||
\(502\) | 4.45059 | − | 4.45059i | 0.198640 | − | 0.198640i | ||||
\(503\) | 11.8147 | − | 6.82122i | 0.526791 | − | 0.304143i | −0.212918 | − | 0.977070i | \(-0.568297\pi\) |
0.739709 | + | 0.672927i | \(0.234963\pi\) | |||||||
\(504\) | −13.5571 | + | 4.07162i | −0.603882 | + | 0.181364i | ||||
\(505\) | −18.1560 | + | 4.86488i | −0.807930 | + | 0.216484i | ||||
\(506\) | − | 15.4272i | − | 0.685821i | ||||||
\(507\) | −8.90708 | − | 10.7192i | −0.395577 | − | 0.476055i | ||||
\(508\) | −1.53408 | −0.0680638 | ||||||||
\(509\) | 2.57869 | − | 0.690957i | 0.114298 | − | 0.0306261i | −0.201216 | − | 0.979547i | \(-0.564489\pi\) |
0.315515 | + | 0.948921i | \(0.397823\pi\) | |||||||
\(510\) | 15.4426 | + | 8.91581i | 0.683812 | + | 0.394799i | ||||
\(511\) | 7.33511 | + | 1.73170i | 0.324486 | + | 0.0766058i | ||||
\(512\) | 16.9779 | − | 16.9779i | 0.750326 | − | 0.750326i | ||||
\(513\) | 30.9701 | + | 8.29842i | 1.36736 | + | 0.366384i | ||||
\(514\) | 11.5127 | + | 3.08483i | 0.507806 | + | 0.136066i | ||||
\(515\) | 19.9991 | + | 19.9991i | 0.881264 | + | 0.881264i | ||||
\(516\) | −0.0816301 | + | 0.0471292i | −0.00359357 | + | 0.00207475i | ||||
\(517\) | 2.23099 | − | 3.86419i | 0.0981190 | − | 0.169947i | ||||
\(518\) | −12.8891 | + | 23.9543i | −0.566315 | + | 1.05249i | ||||
\(519\) | 21.6045i | 0.948331i | ||||||||
\(520\) | −5.26509 | + | 29.4462i | −0.230889 | + | 1.29130i | ||||
\(521\) | − | 15.5467i | − | 0.681111i | −0.940224 | − | 0.340556i | \(-0.889385\pi\) | ||
0.940224 | − | 0.340556i | \(-0.110615\pi\) | |||||||
\(522\) | 0.583887 | + | 2.17910i | 0.0255561 | + | 0.0953765i | ||||
\(523\) | −0.102601 | − | 0.0592367i | −0.00448643 | − | 0.00259024i | 0.497755 | − | 0.867318i | \(-0.334158\pi\) |
−0.502242 | + | 0.864727i | \(0.667491\pi\) | |||||||
\(524\) | 0.110622 | + | 0.191603i | 0.00483255 | + | 0.00837022i | ||||
\(525\) | 9.17367 | − | 0.274935i | 0.400372 | − | 0.0119991i | ||||
\(526\) | −17.4197 | − | 4.66758i | −0.759533 | − | 0.203516i | ||||
\(527\) | 0.996915 | − | 3.72054i | 0.0434263 | − | 0.162069i | ||||
\(528\) | 4.11710 | − | 4.11710i | 0.179174 | − | 0.179174i | ||||
\(529\) | 19.1147 | + | 33.1077i | 0.831075 | + | 1.43946i | ||||
\(530\) | −5.00166 | + | 8.66313i | −0.217258 | + | 0.376302i | ||||
\(531\) | −2.80354 | − | 10.4630i | −0.121663 | − | 0.454053i | ||||
\(532\) | 1.05168 | − | 1.11667i | 0.0455963 | − | 0.0484138i | ||||
\(533\) | −42.6658 | + | 3.62957i | −1.84806 | + | 0.157214i | ||||
\(534\) | −7.28932 | −0.315440 | ||||||||
\(535\) | 29.3654 | − | 7.86844i | 1.26958 | − | 0.340182i | ||||
\(536\) | 1.48940 | − | 2.57972i | 0.0643324 | − | 0.111427i | ||||
\(537\) | 8.86181 | + | 15.3491i | 0.382415 | + | 0.662362i | ||||
\(538\) | 12.2592 | + | 12.2592i | 0.528534 | + | 0.528534i | ||||
\(539\) | −2.00438 | + | 9.79345i | −0.0863347 | + | 0.421834i | ||||
\(540\) | 0.363209 | − | 1.35551i | 0.0156300 | − | 0.0583320i | ||||
\(541\) | −3.27270 | − | 3.27270i | −0.140705 | − | 0.140705i | 0.633246 | − | 0.773951i | \(-0.281722\pi\) |
−0.773951 | + | 0.633246i | \(0.781722\pi\) | |||||||
\(542\) | 5.51652 | − | 3.18496i | 0.236955 | − | 0.136806i | ||||
\(543\) | −12.7100 | − | 7.33814i | −0.545440 | − | 0.314910i | ||||
\(544\) | −0.577501 | − | 2.15526i | −0.0247602 | − | 0.0924062i | ||||
\(545\) | −47.3589 | −2.02863 | ||||||||
\(546\) | −14.0259 | + | 1.61766i | −0.600253 | + | 0.0692295i | ||||
\(547\) | 29.4860 | 1.26073 | 0.630365 | − | 0.776299i | \(-0.282905\pi\) | ||||
0.630365 | + | 0.776299i | \(0.282905\pi\) | |||||||
\(548\) | −0.252800 | − | 0.943461i | −0.0107991 | − | 0.0403026i | ||||
\(549\) | 0.136886 | + | 0.0790313i | 0.00584216 | + | 0.00337297i | ||||
\(550\) | 5.52463 | − | 3.18965i | 0.235571 | − | 0.136007i | ||||
\(551\) | −3.84951 | − | 3.84951i | −0.163995 | − | 0.163995i | ||||
\(552\) | −6.27682 | + | 23.4254i | −0.267159 | + | 0.997052i | ||||
\(553\) | 13.1173 | + | 21.2250i | 0.557806 | + | 0.902578i | ||||
\(554\) | 1.63267 | + | 1.63267i | 0.0693657 | + | 0.0693657i | ||||
\(555\) | −11.4560 | − | 19.8424i | −0.486280 | − | 0.842262i | ||||
\(556\) | 0.289482 | − | 0.501398i | 0.0122768 | − | 0.0212640i | ||||
\(557\) | −1.31037 | + | 0.351113i | −0.0555222 | + | 0.0148771i | −0.286473 | − | 0.958088i | \(-0.592483\pi\) |
0.230951 | + | 0.972965i | \(0.425816\pi\) | |||||||
\(558\) | 2.34416 | 0.0992363 | ||||||||
\(559\) | 3.17064 | − | 1.14541i | 0.134104 | − | 0.0484455i | ||||
\(560\) | 21.0208 | + | 19.7975i | 0.888293 | + | 0.836598i | ||||
\(561\) | −1.66352 | − | 6.20834i | −0.0702338 | − | 0.262116i | ||||
\(562\) | −13.5946 | + | 23.5465i | −0.573453 | + | 0.993249i | ||||
\(563\) | −16.4050 | − | 28.4143i | −0.691388 | − | 1.19752i | −0.971383 | − | 0.237517i | \(-0.923666\pi\) |
0.279995 | − | 0.960001i | \(-0.409667\pi\) | |||||||
\(564\) | −0.222727 | + | 0.222727i | −0.00937851 | + | 0.00937851i | ||||
\(565\) | −0.478510 | + | 1.78582i | −0.0201311 | + | 0.0751302i | ||||
\(566\) | 43.9982 | + | 11.7893i | 1.84938 | + | 0.495541i | ||||
\(567\) | 0.0608148 | − | 0.00182262i | 0.00255398 | − | 7.65428e-5i | ||||
\(568\) | −4.19005 | − | 7.25739i | −0.175811 | − | 0.304513i | ||||
\(569\) | −25.8745 | − | 14.9387i | −1.08472 | − | 0.626261i | −0.152552 | − | 0.988296i | \(-0.548749\pi\) |
−0.932165 | + | 0.362034i | \(0.882082\pi\) | |||||||
\(570\) | −6.77799 | − | 25.2958i | −0.283899 | − | 1.05952i | ||||
\(571\) | − | 0.740021i | − | 0.0309689i | −0.999880 | − | 0.0154844i | \(-0.995071\pi\) | ||
0.999880 | − | 0.0154844i | \(-0.00492905\pi\) | |||||||
\(572\) | 0.397282 | − | 0.276761i | 0.0166112 | − | 0.0115719i | ||||
\(573\) | − | 8.73616i | − | 0.364958i | ||||||
\(574\) | −20.5544 | + | 38.2003i | −0.857926 | + | 1.59445i | ||||
\(575\) | −12.6595 | + | 21.9269i | −0.527938 | + | 0.914416i | ||||
\(576\) | 13.3667 | − | 7.71724i | 0.556944 | − | 0.321552i | ||||
\(577\) | 24.1189 | + | 24.1189i | 1.00408 | + | 1.00408i | 0.999992 | + | 0.00409020i | \(0.00130196\pi\) |
0.00409020 | + | 0.999992i | \(0.498698\pi\) | |||||||
\(578\) | 0.833116 | + | 0.223233i | 0.0346531 | + | 0.00928526i | ||||
\(579\) | 27.7392 | + | 7.43269i | 1.15280 | + | 0.308892i | ||||
\(580\) | −0.168487 | + | 0.168487i | −0.00699605 | + | 0.00699605i | ||||
\(581\) | −1.32430 | + | 5.60946i | −0.0549412 | + | 0.232719i | ||||
\(582\) | −11.7744 | − | 6.79795i | −0.488064 | − | 0.281784i | ||||
\(583\) | 3.48280 | − | 0.933213i | 0.144243 | − | 0.0386498i | ||||
\(584\) | −8.23524 | −0.340777 | ||||||||
\(585\) | −8.13446 | + | 17.3356i | −0.336318 | + | 0.716739i | ||||
\(586\) | 30.3177i | 1.25241i | ||||||||
\(587\) | 11.9740 | − | 3.20842i | 0.494219 | − | 0.132426i | −0.00309648 | − | 0.999995i | \(-0.500986\pi\) |
0.497316 | + | 0.867569i | \(0.334319\pi\) | |||||||
\(588\) | 0.315607 | − | 0.631168i | 0.0130154 | − | 0.0260289i | ||||
\(589\) | −4.89899 | + | 2.82843i | −0.201859 | + | 0.116543i | ||||
\(590\) | −16.3973 | + | 16.3973i | −0.675068 | + | 0.675068i | ||||
\(591\) | 5.11412 | − | 19.0861i | 0.210367 | − | 0.785099i | ||||
\(592\) | 7.33034 | − | 27.3572i | 0.301275 | − | 1.12437i | ||||
\(593\) | −16.1631 | + | 16.1631i | −0.663739 | + | 0.663739i | −0.956259 | − | 0.292520i | \(-0.905506\pi\) |
0.292520 | + | 0.956259i | \(0.405506\pi\) | |||||||
\(594\) | 8.87892 | − | 5.12625i | 0.364307 | − | 0.210333i | ||||
\(595\) | 30.5287 | − | 9.16870i | 1.25155 | − | 0.375880i | ||||
\(596\) | −0.790795 | + | 0.211893i | −0.0323922 | + | 0.00867948i | ||||
\(597\) | 13.6277i | 0.557743i | ||||||||
\(598\) | 16.5458 | − | 35.2612i | 0.676607 | − | 1.44194i | ||||
\(599\) | 2.49403 | 0.101903 | 0.0509516 | − | 0.998701i | \(-0.483775\pi\) | ||||
0.0509516 | + | 0.998701i | \(0.483775\pi\) | |||||||
\(600\) | −9.68666 | + | 2.59553i | −0.395456 | + | 0.105962i | ||||
\(601\) | −18.5873 | − | 10.7314i | −0.758193 | − | 0.437743i | 0.0704537 | − | 0.997515i | \(-0.477555\pi\) |
−0.828647 | + | 0.559772i | \(0.810889\pi\) | |||||||
\(602\) | 0.784704 | − | 3.32384i | 0.0319822 | − | 0.135470i | ||||
\(603\) | 1.34839 | − | 1.34839i | 0.0549106 | − | 0.0549106i | ||||
\(604\) | 1.22698 | + | 0.328769i | 0.0499252 | + | 0.0133774i | ||||
\(605\) | 24.8389 | + | 6.65556i | 1.00984 | + | 0.270587i | ||||
\(606\) | 6.85473 | + | 6.85473i | 0.278454 | + | 0.278454i | ||||
\(607\) | 13.8907 | − | 8.01981i | 0.563807 | − | 0.325514i | −0.190865 | − | 0.981616i | \(-0.561129\pi\) |
0.754672 | + | 0.656102i | \(0.227796\pi\) | |||||||
\(608\) | −1.63848 | + | 2.83793i | −0.0664490 | + | 0.115093i | ||||
\(609\) | −2.20548 | − | 1.18670i | −0.0893705 | − | 0.0480876i | ||||
\(610\) | − | 0.338382i | − | 0.0137007i | ||||||
\(611\) | 9.24368 | − | 6.43947i | 0.373959 | − | 0.260513i | ||||
\(612\) | − | 0.730596i | − | 0.0295326i | ||||||
\(613\) | −1.78927 | − | 6.67764i | −0.0722679 | − | 0.269707i | 0.920332 | − | 0.391138i | \(-0.127918\pi\) |
−0.992600 | + | 0.121431i | \(0.961252\pi\) | |||||||
\(614\) | 23.3054 | + | 13.4554i | 0.940530 | + | 0.543015i | ||||
\(615\) | −18.2691 | − | 31.6429i | −0.736680 | − | 1.27597i | ||||
\(616\) | −0.327213 | − | 10.9180i | −0.0131838 | − | 0.439899i | ||||
\(617\) | 26.9254 | + | 7.21463i | 1.08397 | + | 0.290450i | 0.756223 | − | 0.654314i | \(-0.227043\pi\) |
0.327751 | + | 0.944764i | \(0.393709\pi\) | |||||||
\(618\) | 3.77529 | − | 14.0896i | 0.151864 | − | 0.566766i | ||||
\(619\) | 9.80302 | − | 9.80302i | 0.394017 | − | 0.394017i | −0.482100 | − | 0.876116i | \(-0.660126\pi\) |
0.876116 | + | 0.482100i | \(0.160126\pi\) | |||||||
\(620\) | 0.123796 | + | 0.214421i | 0.00497177 | + | 0.00861136i | ||||
\(621\) | −20.3458 | + | 35.2399i | −0.816448 | + | 1.41413i | ||||
\(622\) | −9.22831 | − | 34.4405i | −0.370022 | − | 1.38094i | ||||
\(623\) | −8.93371 | + | 9.48575i | −0.357922 | + | 0.380038i | ||||
\(624\) | 13.8259 | − | 4.99466i | 0.553480 | − | 0.199947i | ||||
\(625\) | 30.7088 | 1.22835 | ||||||||
\(626\) | −38.2271 | + | 10.2429i | −1.52786 | + | 0.409390i | ||||
\(627\) | −4.71971 | + | 8.17478i | −0.188487 | + | 0.326469i | ||||
\(628\) | −0.318763 | − | 0.552115i | −0.0127200 | − | 0.0220318i | ||||
\(629\) | −22.1074 | − | 22.1074i | −0.881480 | − | 0.881480i | ||||
\(630\) | 10.1986 | + | 16.5022i | 0.406321 | + | 0.657462i | ||||
\(631\) | 6.69536 | − | 24.9874i | 0.266538 | − | 0.994733i | −0.694764 | − | 0.719237i | \(-0.744491\pi\) |
0.961302 | − | 0.275496i | \(-0.0888419\pi\) | |||||||
\(632\) | −19.2783 | − | 19.2783i | −0.766851 | − | 0.766851i | ||||
\(633\) | 4.20506 | − | 2.42779i | 0.167136 | − | 0.0964961i | ||||
\(634\) | −14.9047 | − | 8.60525i | −0.591943 | − | 0.341758i | ||||
\(635\) | 12.1174 | + | 45.2226i | 0.480863 | + | 1.79460i | ||||
\(636\) | −0.254533 | −0.0100929 | ||||||||
\(637\) | −15.0849 | + | 20.2348i | −0.597685 | + | 0.801731i | ||||
\(638\) | −1.74081 | −0.0689193 | ||||||||
\(639\) | −1.38846 | − | 5.18181i | −0.0549267 | − | 0.204989i | ||||
\(640\) | −25.9736 | − | 14.9959i | −1.02670 | − | 0.592764i | ||||
\(641\) | −10.8902 | + | 6.28745i | −0.430136 | + | 0.248339i | −0.699405 | − | 0.714726i | \(-0.746551\pi\) |
0.269269 | + | 0.963065i | \(0.413218\pi\) | |||||||
\(642\) | −11.0868 | − | 11.0868i | −0.437562 | − | 0.437562i | ||||
\(643\) | −6.40174 | + | 23.8916i | −0.252460 | + | 0.942193i | 0.717026 | + | 0.697046i | \(0.245503\pi\) |
−0.969486 | + | 0.245147i | \(0.921164\pi\) | |||||||
\(644\) | 1.02346 | + | 1.65604i | 0.0403298 | + | 0.0652571i | ||||
\(645\) | 2.03408 | + | 2.03408i | 0.0800919 | + | 0.0800919i | ||||
\(646\) | −17.8675 | − | 30.9474i | −0.702988 | − | 1.21761i | ||||
\(647\) | 17.3117 | − | 29.9848i | 0.680595 | − | 1.17883i | −0.294205 | − | 0.955742i | \(-0.595055\pi\) |
0.974800 | − | 0.223083i | \(-0.0716120\pi\) | |||||||
\(648\) | −0.0642155 | + | 0.0172065i | −0.00252262 | + | 0.000675935i | ||||
\(649\) | 8.35852 | 0.328100 | ||||||||
\(650\) | 16.0483 | − | 1.36523i | 0.629468 | − | 0.0535487i | ||||
\(651\) | −1.78421 | + | 1.89446i | −0.0699288 | + | 0.0742498i | ||||
\(652\) | 0.265884 | + | 0.992293i | 0.0104128 | + | 0.0388612i | ||||
\(653\) | 13.7001 | − | 23.7293i | 0.536127 | − | 0.928600i | −0.462980 | − | 0.886368i | \(-0.653220\pi\) |
0.999108 | − | 0.0422314i | \(-0.0134467\pi\) | |||||||
\(654\) | 12.2124 | + | 21.1525i | 0.477543 | + | 0.827129i | ||||
\(655\) | 4.77442 | − | 4.77442i | 0.186552 | − | 0.186552i | ||||
\(656\) | 11.6898 | − | 43.6269i | 0.456410 | − | 1.70335i | ||||
\(657\) | −5.09224 | − | 1.36446i | −0.198667 | − | 0.0532327i | ||||
\(658\) | −0.341884 | − | 11.4075i | −0.0133280 | − | 0.444712i | ||||
\(659\) | 2.14617 | + | 3.71728i | 0.0836031 | + | 0.144805i | 0.904795 | − | 0.425847i | \(-0.140024\pi\) |
−0.821192 | + | 0.570652i | \(0.806691\pi\) | |||||||
\(660\) | 0.357797 | + | 0.206574i | 0.0139272 | + | 0.00804090i | ||||
\(661\) | −3.93734 | − | 14.6944i | −0.153145 | − | 0.571544i | −0.999257 | − | 0.0385395i | \(-0.987729\pi\) |
0.846112 | − | 0.533005i | \(-0.178937\pi\) | |||||||
\(662\) | 41.3515i | 1.60717i | ||||||||
\(663\) | 2.85626 | − | 15.9743i | 0.110928 | − | 0.620390i | ||||
\(664\) | − | 6.29783i | − | 0.244403i | ||||||
\(665\) | −41.2250 | − | 22.1819i | −1.59864 | − | 0.860178i | ||||
\(666\) | 9.51367 | − | 16.4782i | 0.368647 | − | 0.638516i | ||||
\(667\) | 5.98352 | − | 3.45459i | 0.231683 | − | 0.133762i | ||||
\(668\) | 1.21102 | + | 1.21102i | 0.0468559 | + | 0.0468559i | ||||
\(669\) | −24.0988 | − | 6.45725i | −0.931713 | − | 0.249652i | ||||
\(670\) | −3.94323 | − | 1.05658i | −0.152340 | − | 0.0408194i | ||||
\(671\) | −0.0862447 | + | 0.0862447i | −0.00332944 | + | 0.00332944i | ||||
\(672\) | −0.346381 | + | 1.46720i | −0.0133619 | + | 0.0565984i | ||||
\(673\) | 26.3013 | + | 15.1851i | 1.01384 | + | 0.585341i | 0.912314 | − | 0.409492i | \(-0.134294\pi\) |
0.101526 | + | 0.994833i | \(0.467627\pi\) | |||||||
\(674\) | 17.9229 | − | 4.80243i | 0.690365 | − | 0.184983i | ||||
\(675\) | −16.8264 | −0.647648 | ||||||||
\(676\) | 1.20488 | − | 0.206492i | 0.0463415 | − | 0.00794200i | ||||
\(677\) | 36.6725i | 1.40944i | 0.709486 | + | 0.704720i | \(0.248927\pi\) | ||||
−0.709486 | + | 0.704720i | \(0.751073\pi\) | |||||||
\(678\) | 0.921018 | − | 0.246786i | 0.0353715 | − | 0.00947776i | ||||
\(679\) | −23.2769 | + | 6.99076i | −0.893284 | + | 0.268281i | ||||
\(680\) | −30.1636 | + | 17.4150i | −1.15672 | + | 0.667834i | ||||
\(681\) | −7.90187 | + | 7.90187i | −0.302800 | + | 0.302800i | ||||
\(682\) | −0.468169 | + | 1.74723i | −0.0179271 | + | 0.0669049i | ||||
\(683\) | 4.14330 | − | 15.4630i | 0.158539 | − | 0.591676i | −0.840237 | − | 0.542219i | \(-0.817584\pi\) |
0.998776 | − | 0.0494567i | \(-0.0157490\pi\) | |||||||
\(684\) | −0.758710 | + | 0.758710i | −0.0290100 | + | 0.0290100i | ||||
\(685\) | −25.8151 | + | 14.9044i | −0.986346 | + | 0.569467i | ||||
\(686\) | 8.80777 | + | 24.0035i | 0.336282 | + | 0.916459i | ||||
\(687\) | −1.99727 | + | 0.535166i | −0.0762005 | + | 0.0204179i | ||||
\(688\) | 3.55589i | 0.135567i | ||||||||
\(689\) | 8.96137 | + | 1.60233i | 0.341401 | + | 0.0610438i | ||||
\(690\) | 33.2361 | 1.26528 | ||||||||
\(691\) | 17.4509 | − | 4.67596i | 0.663864 | − | 0.177882i | 0.0888748 | − | 0.996043i | \(-0.471673\pi\) |
0.574989 | + | 0.818161i | \(0.305006\pi\) | |||||||
\(692\) | −1.64111 | − | 0.947497i | −0.0623858 | − | 0.0360184i | ||||
\(693\) | 1.60662 | − | 6.80533i | 0.0610306 | − | 0.258513i | ||||
\(694\) | 14.1538 | − | 14.1538i | 0.537270 | − | 0.537270i | ||||
\(695\) | −17.0671 | − | 4.57311i | −0.647391 | − | 0.173468i | ||||
\(696\) | 2.64334 | + | 0.708280i | 0.100195 | + | 0.0268473i | ||||
\(697\) | −35.2550 | − | 35.2550i | −1.33538 | − | 1.33538i | ||||
\(698\) | −26.2487 | + | 15.1547i | −0.993530 | + | 0.573615i | ||||
\(699\) | −4.60738 | + | 7.98022i | −0.174267 | + | 0.301840i | ||||
\(700\) | −0.381441 | + | 0.708905i | −0.0144171 | + | 0.0267941i | ||||
\(701\) | − | 37.6363i | − | 1.42150i | −0.703444 | − | 0.710751i | \(-0.748355\pi\) | ||
0.703444 | − | 0.710751i | \(-0.251645\pi\) | |||||||
\(702\) | 25.7921 | − | 2.19413i | 0.973461 | − | 0.0828122i | ||||
\(703\) | 45.9162i | 1.73176i | ||||||||
\(704\) | 3.08253 | + | 11.5042i | 0.116177 | + | 0.433579i | ||||
\(705\) | 8.32497 | + | 4.80642i | 0.313537 | + | 0.181020i | ||||
\(706\) | 7.97086 | + | 13.8059i | 0.299987 | + | 0.519593i | ||||
\(707\) | 17.3213 | − | 0.519119i | 0.651434 | − | 0.0195235i | ||||
\(708\) | −0.569945 | − | 0.152716i | −0.0214198 | − | 0.00573943i | ||||
\(709\) | −2.98398 | + | 11.1364i | −0.112066 | + | 0.418235i | −0.999051 | − | 0.0435634i | \(-0.986129\pi\) |
0.886985 | + | 0.461798i | \(0.152796\pi\) | |||||||
\(710\) | −8.12084 | + | 8.12084i | −0.304770 | + | 0.304770i | ||||
\(711\) | −8.72655 | − | 15.1148i | −0.327271 | − | 0.566850i | ||||
\(712\) | 7.11900 | − | 12.3305i | 0.266796 | − | 0.462104i | ||||
\(713\) | −1.85813 | − | 6.93465i | −0.0695876 | − | 0.259705i | ||||
\(714\) | −11.9675 | − | 11.2711i | −0.447874 | − | 0.421809i | ||||
\(715\) | −11.2966 | − | 9.52526i | −0.422468 | − | 0.356225i | ||||
\(716\) | −1.55459 | −0.0580978 | ||||||||
\(717\) | 9.44815 | − | 2.53162i | 0.352848 | − | 0.0945452i | ||||
\(718\) | −0.616005 | + | 1.06695i | −0.0229891 | + | 0.0398183i | ||||
\(719\) | 23.0965 | + | 40.0043i | 0.861355 | + | 1.49191i | 0.870622 | + | 0.491953i | \(0.163717\pi\) |
−0.00926691 | + | 0.999957i | \(0.502950\pi\) | |||||||
\(720\) | −14.2824 | − | 14.2824i | −0.532273 | − | 0.532273i | ||||
\(721\) | −13.7081 | − | 22.1809i | −0.510516 | − | 0.826059i | ||||
\(722\) | −6.79424 | + | 25.3564i | −0.252855 | + | 0.943669i | ||||
\(723\) | 3.30794 | + | 3.30794i | 0.123024 | + | 0.123024i | ||||
\(724\) | 1.11484 | − | 0.643651i | 0.0414325 | − | 0.0239211i | ||||
\(725\) | 2.47425 | + | 1.42851i | 0.0918913 | + | 0.0530534i | ||||
\(726\) | −3.43253 | − | 12.8104i | −0.127393 | − | 0.475438i | ||||
\(727\) | 3.27502 | 0.121464 | 0.0607318 | − | 0.998154i | \(-0.480657\pi\) | ||||
0.0607318 | + | 0.998154i | \(0.480657\pi\) | |||||||
\(728\) | 10.9618 | − | 25.3058i | 0.406270 | − | 0.937895i | ||||
\(729\) | −16.7676 | −0.621022 | ||||||||
\(730\) | 2.92105 | + | 10.9015i | 0.108113 | + | 0.403483i | ||||
\(731\) | 3.39941 | + | 1.96265i | 0.125732 | + | 0.0725913i | ||||
\(732\) | 0.00745656 | − | 0.00430505i | 0.000275602 | − | 0.000159119i | ||||
\(733\) | −23.8639 | − | 23.8639i | −0.881432 | − | 0.881432i | 0.112248 | − | 0.993680i | \(-0.464195\pi\) |
−0.993680 | + | 0.112248i | \(0.964195\pi\) | |||||||
\(734\) | −5.17148 | + | 19.3002i | −0.190883 | + | 0.712384i | ||||
\(735\) | −21.0989 | − | 4.31821i | −0.778244 | − | 0.159280i | ||||
\(736\) | −2.94077 | − | 2.94077i | −0.108398 | − | 0.108398i | ||||
\(737\) | 0.735730 | + | 1.27432i | 0.0271010 | + | 0.0469403i | ||||
\(738\) | 15.1716 | − | 26.2780i | 0.558474 | − | 0.967306i | ||||
\(739\) | 2.04383 | − | 0.547643i | 0.0751836 | − | 0.0201454i | −0.221031 | − | 0.975267i | \(-0.570942\pi\) |
0.296215 | + | 0.955121i | \(0.404276\pi\) | |||||||
\(740\) | 2.00968 | 0.0738774 | ||||||||
\(741\) | −19.5552 | + | 13.6228i | −0.718377 | + | 0.500447i | ||||
\(742\) | 6.32293 | − | 6.71364i | 0.232122 | − | 0.246465i | ||||
\(743\) | −7.14174 | − | 26.6533i | −0.262005 | − | 0.977816i | −0.964058 | − | 0.265692i | \(-0.914400\pi\) |
0.702053 | − | 0.712125i | \(-0.252267\pi\) | |||||||
\(744\) | 1.42178 | − | 2.46260i | 0.0521251 | − | 0.0902834i | ||||
\(745\) | 12.4926 | + | 21.6379i | 0.457695 | + | 0.792751i | ||||
\(746\) | −20.4291 | + | 20.4291i | −0.747961 | + | 0.747961i | ||||
\(747\) | 1.04346 | − | 3.89424i | 0.0381781 | − | 0.142483i | ||||
\(748\) | 0.544552 | + | 0.145912i | 0.0199108 | + | 0.00533508i | ||||
\(749\) | −28.0154 | + | 0.839621i | −1.02366 | + | 0.0306791i | ||||
\(750\) | −3.74692 | − | 6.48986i | −0.136818 | − | 0.236976i | ||||
\(751\) | −6.52544 | − | 3.76747i | −0.238117 | − | 0.137477i | 0.376194 | − | 0.926541i | \(-0.377233\pi\) |
−0.614311 | + | 0.789064i | \(0.710566\pi\) | |||||||
\(752\) | 3.07548 | + | 11.4778i | 0.112151 | + | 0.418554i | ||||
\(753\) | − | 4.88762i | − | 0.178115i | ||||||
\(754\) | −3.97890 | − | 1.86703i | −0.144903 | − | 0.0679934i | ||||
\(755\) | − | 38.7667i | − | 1.41086i | ||||||
\(756\) | −0.613033 | + | 1.13932i | −0.0222958 | + | 0.0414366i | ||||
\(757\) | −21.0971 | + | 36.5412i | −0.766786 | + | 1.32811i | 0.172512 | + | 0.985007i | \(0.444812\pi\) |
−0.939297 | + | 0.343104i | \(0.888522\pi\) | |||||||
\(758\) | −25.5516 | + | 14.7522i | −0.928075 | + | 0.535824i | ||||
\(759\) | −8.47101 | − | 8.47101i | −0.307478 | − | 0.307478i | ||||
\(760\) | 49.4095 | + | 13.2392i | 1.79227 | + | 0.480237i | ||||
\(761\) | 1.64757 | + | 0.441464i | 0.0597243 | + | 0.0160031i | 0.288557 | − | 0.957463i | \(-0.406824\pi\) |
−0.228833 | + | 0.973466i | \(0.573491\pi\) | |||||||
\(762\) | 17.0736 | − | 17.0736i | 0.618513 | − | 0.618513i | ||||
\(763\) | 42.4936 | + | 10.0320i | 1.53837 | + | 0.363184i | ||||
\(764\) | 0.663614 | + | 0.383138i | 0.0240087 | + | 0.0138614i | ||||
\(765\) | −21.5370 | + | 5.77082i | −0.778671 | + | 0.208644i | ||||
\(766\) | 24.7469 | 0.894141 | ||||||||
\(767\) | 19.1047 | + | 8.96458i | 0.689831 | + | 0.323692i | ||||
\(768\) | − | 2.41403i | − | 0.0871089i | ||||||
\(769\) | 3.49612 | − | 0.936782i | 0.126073 | − | 0.0337812i | −0.195231 | − | 0.980757i | \(-0.562546\pi\) |
0.321304 | + | 0.946976i | \(0.395879\pi\) | |||||||
\(770\) | −14.3368 | + | 4.30578i | −0.516662 | + | 0.155170i | ||||
\(771\) | 8.01550 | − | 4.62775i | 0.288671 | − | 0.166664i | ||||
\(772\) | −1.78114 | + | 1.78114i | −0.0641048 | + | 0.0641048i | ||||
\(773\) | −6.91718 | + | 25.8153i | −0.248794 | + | 0.928510i | 0.722645 | + | 0.691219i | \(0.242926\pi\) |
−0.971439 | + | 0.237291i | \(0.923741\pi\) | |||||||
\(774\) | −0.618294 | + | 2.30750i | −0.0222241 | + | 0.0829415i | ||||
\(775\) | 2.09919 | − | 2.09919i | 0.0754052 | − | 0.0754052i | ||||
\(776\) | 22.9985 | − | 13.2782i | 0.825600 | − | 0.476660i | ||||
\(777\) | 6.07588 | + | 20.2306i | 0.217971 | + | 0.725770i | ||||
\(778\) | 6.48299 | − | 1.73711i | 0.232426 | − | 0.0622785i | ||||
\(779\) | 73.2233i | 2.62350i | ||||||||
\(780\) | 0.596250 | + | 0.855899i | 0.0213492 | + | 0.0306461i | ||||
\(781\) | 4.13958 | 0.148126 | ||||||||
\(782\) | 43.8069 | − | 11.7380i | 1.56653 | − | 0.419751i | ||||
\(783\) | 3.97649 | + | 2.29583i | 0.142108 | + | 0.0820463i | ||||
\(784\) | −14.6676 | − | 22.2165i | −0.523843 | − | 0.793446i | ||||
\(785\) | −13.7577 | + | 13.7577i | −0.491035 | + | 0.491035i | ||||
\(786\) | −3.36364 | − | 0.901283i | −0.119977 | − | 0.0321477i | ||||
\(787\) | −42.5173 | − | 11.3925i | −1.51558 | − | 0.406098i | −0.597296 | − | 0.802021i | \(-0.703758\pi\) |
−0.918284 | + | 0.395923i | \(0.870425\pi\) | |||||||
\(788\) | 1.22553 | + | 1.22553i | 0.0436577 | + | 0.0436577i | ||||
\(789\) | −12.1280 | + | 7.00213i | −0.431770 | + | 0.249283i | ||||
\(790\) | −18.6819 | + | 32.3580i | −0.664672 | + | 1.15124i | ||||
\(791\) | 0.807642 | − | 1.50100i | 0.0287164 | − | 0.0533693i | ||||
\(792\) | 7.64045i | 0.271492i | ||||||||
\(793\) | −0.289624 | + | 0.104628i | −0.0102849 | + | 0.00371544i | ||||
\(794\) | − | 27.0084i | − | 0.958493i | ||||||
\(795\) | 2.01050 | + | 7.50330i | 0.0713052 | + | 0.266115i | ||||
\(796\) | −1.03518 | − | 0.597662i | −0.0366910 | − | 0.0211836i | ||||
\(797\) | 6.94770 | + | 12.0338i | 0.246100 | + | 0.426258i | 0.962440 | − | 0.271493i | \(-0.0875175\pi\) |
−0.716340 | + | 0.697751i | \(0.754184\pi\) | |||||||
\(798\) | 0.723262 | + | 24.1329i | 0.0256032 | + | 0.854294i | ||||
\(799\) | 12.6703 | + | 3.39499i | 0.448241 | + | 0.120106i | ||||
\(800\) | 0.445101 | − | 1.66114i | 0.0157367 | − | 0.0587301i | ||||
\(801\) | 6.44499 | − | 6.44499i | 0.227723 | − | 0.227723i | ||||
\(802\) | −2.96587 | − | 5.13704i | −0.104728 | − | 0.181395i | ||||
\(803\) | 2.03401 | − | 3.52301i | 0.0717787 | − | 0.124324i | ||||
\(804\) | −0.0268847 | − | 0.100335i | −0.000948150 | − | 0.00353854i | ||||
\(805\) | 40.7338 | − | 43.2508i | 1.43568 | − | 1.52439i | ||||
\(806\) | −2.94399 | + | 3.49146i | −0.103698 | + | 0.122981i | ||||
\(807\) | 13.4630 | 0.473921 | ||||||||
\(808\) | −18.2899 | + | 4.90076i | −0.643436 | + | 0.172408i | ||||
\(809\) | 22.2022 | − | 38.4554i | 0.780589 | − | 1.35202i | −0.151010 | − | 0.988532i | \(-0.548253\pi\) |
0.931599 | − | 0.363488i | \(-0.118414\pi\) | |||||||
\(810\) | 0.0455546 | + | 0.0789029i | 0.00160063 | + | 0.00277237i | ||||
\(811\) | −9.49597 | − | 9.49597i | −0.333449 | − | 0.333449i | 0.520446 | − | 0.853895i | \(-0.325766\pi\) |
−0.853895 | + | 0.520446i | \(0.825766\pi\) | |||||||
\(812\) | 0.186869 | − | 0.115487i | 0.00655780 | − | 0.00405281i | ||||
\(813\) | 1.28025 | − | 4.77796i | 0.0449004 | − | 0.167570i | ||||
\(814\) | 10.3820 | + | 10.3820i | 0.363890 | + | 0.363890i | ||||
\(815\) | 27.1513 | − | 15.6758i | 0.951068 | − | 0.549099i | ||||
\(816\) | 14.8235 | + | 8.55835i | 0.518926 | + | 0.299602i | ||||
\(817\) | −1.49205 | − | 5.56840i | −0.0522002 | − | 0.194814i | ||||
\(818\) | 41.8760 | 1.46416 | ||||||||
\(819\) | 10.9710 | − | 13.8315i | 0.383357 | − | 0.483313i | ||||
\(820\) | 3.20487 | 0.111919 | ||||||||
\(821\) | 13.3053 | + | 49.6560i | 0.464358 | + | 1.73301i | 0.659009 | + | 0.752135i | \(0.270976\pi\) |
−0.194651 | + | 0.980873i | \(0.562357\pi\) | |||||||
\(822\) | 13.3139 | + | 7.68676i | 0.464374 | + | 0.268107i | ||||
\(823\) | 22.4979 | − | 12.9892i | 0.784227 | − | 0.452774i | −0.0536991 | − | 0.998557i | \(-0.517101\pi\) |
0.837926 | + | 0.545783i | \(0.183768\pi\) | |||||||
\(824\) | 20.1466 | + | 20.1466i | 0.701839 | + | 0.701839i | ||||
\(825\) | 1.28213 | − | 4.78499i | 0.0446382 | − | 0.166592i | ||||
\(826\) | 18.1862 | − | 11.2393i | 0.632780 | − | 0.391067i | ||||
\(827\) | −1.05853 | − | 1.05853i | −0.0368089 | − | 0.0368089i | 0.688463 | − | 0.725272i | \(-0.258286\pi\) |
−0.725272 | + | 0.688463i | \(0.758286\pi\) | |||||||
\(828\) | −0.680873 | − | 1.17931i | −0.0236620 | − | 0.0409837i | ||||
\(829\) | −7.34482 | + | 12.7216i | −0.255096 | + | 0.441839i | −0.964922 | − | 0.262538i | \(-0.915440\pi\) |
0.709826 | + | 0.704378i | \(0.248774\pi\) | |||||||
\(830\) | −8.33682 | + | 2.23385i | −0.289375 | + | 0.0775379i | ||||
\(831\) | 1.79299 | 0.0621983 | ||||||||
\(832\) | −5.29270 | + | 29.6006i | −0.183491 | + | 1.02622i | ||||
\(833\) | −29.3345 | + | 1.75989i | −1.01638 | + | 0.0609767i | ||||
\(834\) | 2.35853 | + | 8.80215i | 0.0816692 | + | 0.304794i | ||||
\(835\) | 26.1337 | − | 45.2649i | 0.904395 | − | 1.56646i | ||||
\(836\) | −0.413980 | − | 0.717035i | −0.0143178 | − | 0.0247992i | ||||
\(837\) | 3.37372 | − | 3.37372i | 0.116613 | − | 0.116613i | ||||
\(838\) | −2.83551 | + | 10.5823i | −0.0979511 | + | 0.365559i | ||||
\(839\) | 18.7042 | + | 5.01177i | 0.645740 | + | 0.173025i | 0.566802 | − | 0.823854i | \(-0.308180\pi\) |
0.0789379 | + | 0.996880i | \(0.474847\pi\) | |||||||
\(840\) | 23.5216 | − | 0.704943i | 0.811573 | − | 0.0243229i | ||||
\(841\) | 14.1102 | + | 24.4396i | 0.486558 | + | 0.842743i | ||||
\(842\) | 10.1128 | + | 5.83860i | 0.348509 | + | 0.201211i | ||||
\(843\) | 5.46457 | + | 20.3941i | 0.188210 | + | 0.702409i | ||||
\(844\) | 0.425898i | 0.0146600i | ||||||||
\(845\) | −15.6042 | − | 33.8872i | −0.536800 | − | 1.16575i | ||||
\(846\) | 7.98302i | 0.274462i | ||||||||
\(847\) | −20.8773 | − | 11.2334i | −0.717351 | − | 0.385985i | ||||
\(848\) | −4.80113 | + | 8.31579i | −0.164871 | + | 0.285566i | ||||
\(849\) | 30.6328 | − | 17.6858i | 1.05131 | − | 0.606976i | ||||
\(850\) | 13.2608 | + | 13.2608i | 0.454843 | + | 0.454843i | ||||
\(851\) | −56.2879 | − | 15.0823i | −1.92953 | − | 0.517015i | ||||
\(852\) | −0.282267 | − | 0.0756332i | −0.00967031 | − | 0.00259115i | ||||
\(853\) | 16.7852 | − | 16.7852i | 0.574713 | − | 0.574713i | −0.358728 | − | 0.933442i | \(-0.616790\pi\) |
0.933442 | + | 0.358728i | \(0.116790\pi\) | |||||||
\(854\) | −0.0716793 | + | 0.303619i | −0.00245282 | + | 0.0103896i | ||||
\(855\) | 28.3586 | + | 16.3729i | 0.969845 | + | 0.559940i | ||||
\(856\) | 29.5820 | − | 7.92647i | 1.01109 | − | 0.270921i | ||||
\(857\) | −51.1432 | −1.74702 | −0.873508 | − | 0.486809i | \(-0.838161\pi\) | ||||
−0.873508 | + | 0.486809i | \(0.838161\pi\) | |||||||
\(858\) | −1.34135 | + | 7.50180i | −0.0457929 | + | 0.256107i | ||||
\(859\) | − | 15.0880i | − | 0.514795i | −0.966306 | − | 0.257397i | \(-0.917135\pi\) | ||
0.966306 | − | 0.257397i | \(-0.0828649\pi\) | |||||||
\(860\) | −0.243720 | + | 0.0653047i | −0.00831079 | + | 0.00222687i | ||||
\(861\) | 9.68931 | + | 32.2621i | 0.330211 | + | 1.09949i | ||||
\(862\) | 0.691725 | − | 0.399367i | 0.0235602 | − | 0.0136025i | ||||
\(863\) | −9.33430 | + | 9.33430i | −0.317743 | + | 0.317743i | −0.847900 | − | 0.530156i | \(-0.822133\pi\) |
0.530156 | + | 0.847900i | \(0.322133\pi\) | |||||||
\(864\) | 0.715345 | − | 2.66970i | 0.0243365 | − | 0.0908251i | ||||
\(865\) | −14.9681 | + | 55.8619i | −0.508932 | + | 1.89936i | ||||
\(866\) | 8.03096 | − | 8.03096i | 0.272903 | − | 0.272903i | ||||
\(867\) | 0.580039 | − | 0.334885i | 0.0196991 | − | 0.0113733i | ||||
\(868\) | −0.0656573 | − | 0.218616i | −0.00222855 | − | 0.00742033i | ||||
\(869\) | 13.0087 | − | 3.48568i | 0.441291 | − | 0.118244i | ||||
\(870\) | − | 3.75038i | − | 0.127150i | ||||||
\(871\) | 0.314907 | + | 3.70174i | 0.0106702 | + | 0.125429i | ||||
\(872\) | −47.7082 | −1.61560 | ||||||||
\(873\) | 16.4211 | − | 4.40001i | 0.555769 | − | 0.148918i | ||||
\(874\) | −57.6824 | − | 33.3030i | −1.95114 | − | 1.12649i | ||||
\(875\) | −13.0376 | − | 3.07795i | −0.440750 | − | 0.104054i | ||||
\(876\) | −0.203062 | + | 0.203062i | −0.00686083 | + | 0.00686083i | ||||
\(877\) | −37.6430 | − | 10.0864i | −1.27111 | − | 0.340594i | −0.440655 | − | 0.897676i | \(-0.645254\pi\) |
−0.830457 | + | 0.557083i | \(0.811921\pi\) | |||||||
\(878\) | −16.9669 | − | 4.54627i | −0.572606 | − | 0.153429i | ||||
\(879\) | 16.6474 | + | 16.6474i | 0.561501 | + | 0.561501i | ||||
\(880\) | 13.4979 | − | 7.79300i | 0.455013 | − | 0.262702i | ||||
\(881\) | −14.6029 | + | 25.2929i | −0.491983 | + | 0.852140i | −0.999957 | − | 0.00923231i | \(-0.997061\pi\) |
0.507974 | + | 0.861372i | \(0.330395\pi\) | |||||||
\(882\) | −5.65519 | − | 16.9672i | −0.190420 | − | 0.571316i | ||||
\(883\) | 2.58799i | 0.0870929i | 0.999051 | + | 0.0435464i | \(0.0138656\pi\) | ||||
−0.999051 | + | 0.0435464i | \(0.986134\pi\) | |||||||
\(884\) | 1.08817 | + | 0.917543i | 0.0365991 | + | 0.0308603i | ||||
\(885\) | 18.0075i | 0.605315i | ||||||||
\(886\) | 0.797057 | + | 2.97466i | 0.0267776 | + | 0.0999355i | ||||
\(887\) | −32.6723 | − | 18.8634i | −1.09703 | − | 0.633370i | −0.161590 | − | 0.986858i | \(-0.551662\pi\) |
−0.935439 | + | 0.353488i | \(0.884996\pi\) | |||||||
\(888\) | −11.5405 | − | 19.9887i | −0.387274 | − | 0.670778i | ||||
\(889\) | −1.29301 | − | 43.1435i | −0.0433662 | − | 1.44699i | ||||
\(890\) | −18.8477 | − | 5.05023i | −0.631777 | − | 0.169284i | ||||
\(891\) | 0.00849962 | − | 0.0317210i | 0.000284748 | − | 0.00106269i | ||||
\(892\) | 1.54739 | − | 1.54739i | 0.0518105 | − | 0.0518105i | ||||
\(893\) | −9.63220 | − | 16.6835i | −0.322329 | − | 0.558291i | ||||
\(894\) | 6.44293 | − | 11.1595i | 0.215484 | − | 0.373229i | ||||
\(895\) | 12.2794 | + | 45.8273i | 0.410454 | + | 1.53184i | ||||
\(896\) | 20.1287 | + | 18.9573i | 0.672453 | + | 0.633319i | ||||
\(897\) | −10.2766 | − | 28.4471i | −0.343126 | − | 0.949821i | ||||
\(898\) | −53.8120 | −1.79573 | ||||||||
\(899\) | −0.782510 | + | 0.209673i | −0.0260982 | + | 0.00699298i | ||||
\(900\) | 0.281548 | − | 0.487656i | 0.00938494 | − | 0.0162552i | ||||
\(901\) | 5.29990 | + | 9.17970i | 0.176565 | + | 0.305820i | ||||
\(902\) | 16.5564 | + | 16.5564i | 0.551267 | + | 0.551267i | ||||
\(903\) | −1.39424 | − | 2.25599i | −0.0463973 | − | 0.0750748i | ||||
\(904\) | −0.482039 | + | 1.79900i | −0.0160324 | + | 0.0598337i | ||||
\(905\) | −27.7798 | − | 27.7798i | −0.923432 | − | 0.923432i | ||||
\(906\) | −17.3148 | + | 9.99673i | −0.575247 | + | 0.332119i | ||||
\(907\) | −44.9567 | − | 25.9558i | −1.49276 | − | 0.861847i | −0.492798 | − | 0.870144i | \(-0.664026\pi\) |
−0.999966 | + | 0.00829638i | \(0.997359\pi\) | |||||||
\(908\) | −0.253691 | − | 0.946788i | −0.00841904 | − | 0.0314203i | ||||
\(909\) | −12.1215 | −0.402044 | ||||||||
\(910\) | −37.3870 | − | 5.53479i | −1.23937 | − | 0.183476i | ||||
\(911\) | 15.0311 | 0.498003 | 0.249002 | − | 0.968503i | \(-0.419898\pi\) | ||||
0.249002 | + | 0.968503i | \(0.419898\pi\) | |||||||
\(912\) | −6.50624 | − | 24.2816i | −0.215443 | − | 0.804044i | ||||
\(913\) | 2.69419 | + | 1.55549i | 0.0891647 | + | 0.0514792i | ||||
\(914\) | 27.5322 | − | 15.8957i | 0.910683 | − | 0.525783i | ||||
\(915\) | −0.185805 | − | 0.185805i | −0.00614251 | − | 0.00614251i | ||||
\(916\) | 0.0469410 | − | 0.175186i | 0.00155098 | − | 0.00578832i | ||||
\(917\) | −5.29529 | + | 3.27256i | −0.174866 | + | 0.108070i | ||||
\(918\) | 21.3122 | + | 21.3122i | 0.703407 | + | 0.703407i | ||||
\(919\) | −1.62567 | − | 2.81574i | −0.0536259 | − | 0.0928828i | 0.837966 | − | 0.545722i | \(-0.183745\pi\) |
−0.891592 | + | 0.452839i | \(0.850411\pi\) | |||||||
\(920\) | −32.4595 | + | 56.2215i | −1.07016 | + | 1.85357i | ||||
\(921\) | 20.1853 | − | 5.40863i | 0.665127 | − | 0.178220i | ||||
\(922\) | −41.6839 | −1.37279 | ||||||||
\(923\) | 9.46167 | + | 4.43974i | 0.311435 | + | 0.146136i | ||||
\(924\) | −0.277281 | − | 0.261144i | −0.00912187 | − | 0.00859102i | ||||
\(925\) | −6.23669 | − | 23.2757i | −0.205061 | − | 0.765299i | ||||
\(926\) | 2.14626 | − | 3.71742i | 0.0705303 | − | 0.122162i | ||||
\(927\) | 9.11956 | + | 15.7955i | 0.299526 | + | 0.518794i | ||||
\(928\) | −0.331838 | + | 0.331838i | −0.0108931 | + | 0.0108931i | ||||
\(929\) | 11.0712 | − | 41.3182i | 0.363234 | − | 1.35561i | −0.506566 | − | 0.862201i | \(-0.669085\pi\) |
0.869799 | − | 0.493405i | \(-0.164248\pi\) | |||||||
\(930\) | −3.76421 | − | 1.00862i | −0.123433 | − | 0.0330738i | ||||
\(931\) | 32.2910 | + | 28.6358i | 1.05829 | + | 0.938499i | ||||
\(932\) | −0.404128 | − | 0.699969i | −0.0132376 | − | 0.0229283i | ||||
\(933\) | −23.9785 | − | 13.8440i | −0.785019 | − | 0.453231i | ||||
\(934\) | 7.56484 | + | 28.2324i | 0.247529 | + | 0.923791i | ||||
\(935\) | − | 17.2052i | − | 0.562670i | ||||||
\(936\) | −8.19445 | + | 17.4635i | −0.267844 | + | 0.570811i | ||||
\(937\) | − | 14.9401i | − | 0.488071i | −0.969766 | − | 0.244035i | \(-0.921529\pi\) | ||
0.969766 | − | 0.244035i | \(-0.0784713\pi\) | |||||||
\(938\) | 3.31431 | + | 1.78333i | 0.108216 | + | 0.0582278i | ||||
\(939\) | −15.3661 | + | 26.6148i | −0.501452 | + | 0.868541i | ||||
\(940\) | −0.730209 | + | 0.421586i | −0.0238168 | + | 0.0137506i | ||||
\(941\) | 8.04957 | + | 8.04957i | 0.262409 | + | 0.262409i | 0.826032 | − | 0.563623i | \(-0.190593\pi\) |
−0.563623 | + | 0.826032i | \(0.690593\pi\) | |||||||
\(942\) | 9.69249 | + | 2.59710i | 0.315799 | + | 0.0846180i | ||||
\(943\) | −89.7632 | − | 24.0520i | −2.92309 | − | 0.783240i | ||||
\(944\) | −15.7399 | + | 15.7399i | −0.512291 | + | 0.512291i | ||||
\(945\) | 38.4278 | + | 9.07216i | 1.25006 | + | 0.295117i | ||||
\(946\) | −1.59642 | − | 0.921695i | −0.0519042 | − | 0.0299669i | ||||
\(947\) | 31.0554 | − | 8.32128i | 1.00917 | − | 0.270405i | 0.283885 | − | 0.958858i | \(-0.408377\pi\) |
0.725281 | + | 0.688453i | \(0.241710\pi\) | |||||||
\(948\) | −0.950717 | −0.0308779 | ||||||||
\(949\) | 8.42752 | − | 5.87091i | 0.273569 | − | 0.190578i | ||||
\(950\) | − | 27.5423i | − | 0.893589i | ||||||
\(951\) | −12.9093 | + | 3.45903i | −0.418612 | + | 0.112167i | ||||
\(952\) | 30.7538 | − | 9.23632i | 0.996737 | − | 0.299351i | ||||
\(953\) | 32.4604 | − | 18.7410i | 1.05150 | − | 0.607081i | 0.128428 | − | 0.991719i | \(-0.459007\pi\) |
0.923068 | + | 0.384638i | \(0.125674\pi\) | |||||||
\(954\) | −4.56151 | + | 4.56151i | −0.147684 | + | 0.147684i | ||||
\(955\) | 6.05264 | − | 22.5888i | 0.195859 | − | 0.730955i | ||||
\(956\) | −0.222056 | + | 0.828726i | −0.00718182 | + | 0.0268029i | ||||
\(957\) | −0.955875 | + | 0.955875i | −0.0308990 | + | 0.0308990i | ||||
\(958\) | 28.7118 | − | 16.5768i | 0.927636 | − | 0.535571i | ||||
\(959\) | 26.3202 | − | 7.90479i | 0.849925 | − | 0.255259i | ||||
\(960\) | −24.7844 | + | 6.64096i | −0.799913 | + | 0.214336i | ||||
\(961\) | − | 30.1582i | − | 0.972846i | ||||||
\(962\) | 12.5950 | + | 34.8646i | 0.406077 | + | 1.12408i | ||||
\(963\) | 19.6052 | 0.631769 | ||||||||
\(964\) | −0.396352 | + | 0.106202i | −0.0127656 | + | 0.00342054i | ||||
\(965\) | 66.5746 | + | 38.4368i | 2.14311 | + | 1.23733i | ||||
\(966\) | −29.8216 | − | 7.04039i | −0.959495 | − | 0.226521i | ||||
\(967\) | 10.9130 | − | 10.9130i | 0.350939 | − | 0.350939i | −0.509520 | − | 0.860459i | \(-0.670177\pi\) |
0.860459 | + | 0.509520i | \(0.170177\pi\) | |||||||
\(968\) | 25.0221 | + | 6.70465i | 0.804240 | + | 0.215496i | ||||
\(969\) | −26.8042 | − | 7.18216i | −0.861074 | − | 0.230724i | ||||
\(970\) | −25.7348 | − | 25.7348i | −0.826295 | − | 0.826295i | ||||
\(971\) | 1.54608 | − | 0.892628i | 0.0496160 | − | 0.0286458i | −0.474987 | − | 0.879993i | \(-0.657547\pi\) |
0.524603 | + | 0.851347i | \(0.324214\pi\) | |||||||
\(972\) | 0.732343 | − | 1.26846i | 0.0234899 | − | 0.0406857i | ||||
\(973\) | 14.3450 | + | 7.71862i | 0.459880 | + | 0.247447i | ||||
\(974\) | − | 47.0455i | − | 1.50743i | ||||||
\(975\) | 8.06246 | − | 9.56175i | 0.258205 | − | 0.306221i | ||||
\(976\) | − | 0.324815i | − | 0.0103971i | ||||||
\(977\) | −0.587766 | − | 2.19357i | −0.0188043 | − | 0.0701786i | 0.955886 | − | 0.293737i | \(-0.0948992\pi\) |
−0.974690 | + | 0.223559i | \(0.928232\pi\) | |||||||
\(978\) | −14.0030 | − | 8.08461i | −0.447765 | − | 0.258517i | ||||
\(979\) | 3.51662 | + | 6.09097i | 0.112392 | + | 0.194668i | ||||
\(980\) | 1.25334 | − | 1.41333i | 0.0400366 | − | 0.0451471i | ||||
\(981\) | −29.5002 | − | 7.90456i | −0.941869 | − | 0.252373i | ||||
\(982\) | 5.06202 | − | 18.8917i | 0.161535 | − | 0.602858i | ||||
\(983\) | −30.2896 | + | 30.2896i | −0.966088 | + | 0.966088i | −0.999444 | − | 0.0333560i | \(-0.989380\pi\) |
0.0333560 | + | 0.999444i | \(0.489380\pi\) | |||||||
\(984\) | −18.4038 | − | 31.8763i | −0.586692 | − | 1.01618i | ||||
\(985\) | 26.4468 | − | 45.8071i | 0.842664 | − | 1.45954i | ||||
\(986\) | −1.32453 | − | 4.94320i | −0.0421815 | − | 0.157424i | ||||
\(987\) | −6.45158 | − | 6.07612i | −0.205356 | − | 0.193405i | ||||
\(988\) | −0.177191 | − | 2.08289i | −0.00563721 | − | 0.0662657i | ||||
\(989\) | 7.31631 | 0.232645 | ||||||||
\(990\) | 10.1141 | − | 2.71008i | 0.321448 | − | 0.0861319i | ||||
\(991\) | −26.6800 | + | 46.2112i | −0.847519 | + | 1.46795i | 0.0358964 | + | 0.999356i | \(0.488571\pi\) |
−0.883415 | + | 0.468591i | \(0.844762\pi\) | |||||||
\(992\) | 0.243818 | + | 0.422305i | 0.00774123 | + | 0.0134082i | ||||
\(993\) | 22.7060 | + | 22.7060i | 0.720553 | + | 0.720553i | ||||
\(994\) | 9.00679 | − | 5.56632i | 0.285678 | − | 0.176553i | ||||
\(995\) | −9.44159 | + | 35.2365i | −0.299319 | + | 1.11707i | ||||
\(996\) | −0.155290 | − | 0.155290i | −0.00492054 | − | 0.00492054i | ||||
\(997\) | −40.7247 | + | 23.5124i | −1.28976 | + | 0.744645i | −0.978612 | − | 0.205715i | \(-0.934048\pi\) |
−0.311152 | + | 0.950360i | \(0.600715\pi\) | |||||||
\(998\) | 35.6521 | + | 20.5837i | 1.12855 | + | 0.651567i | ||||
\(999\) | −10.0233 | − | 37.4075i | −0.317124 | − | 1.18352i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 91.2.bc.a.6.3 | ✓ | 32 | |
3.2 | odd | 2 | 819.2.fm.g.370.6 | 32 | |||
7.2 | even | 3 | 637.2.bb.b.227.4 | 32 | |||
7.3 | odd | 6 | 637.2.x.b.19.5 | 32 | |||
7.4 | even | 3 | 637.2.x.b.19.6 | 32 | |||
7.5 | odd | 6 | 637.2.bb.b.227.3 | 32 | |||
7.6 | odd | 2 | inner | 91.2.bc.a.6.4 | yes | 32 | |
13.11 | odd | 12 | inner | 91.2.bc.a.76.4 | yes | 32 | |
21.20 | even | 2 | 819.2.fm.g.370.5 | 32 | |||
39.11 | even | 12 | 819.2.fm.g.622.5 | 32 | |||
91.11 | odd | 12 | 637.2.bb.b.362.3 | 32 | |||
91.24 | even | 12 | 637.2.bb.b.362.4 | 32 | |||
91.37 | odd | 12 | 637.2.x.b.570.6 | 32 | |||
91.76 | even | 12 | inner | 91.2.bc.a.76.3 | yes | 32 | |
91.89 | even | 12 | 637.2.x.b.570.5 | 32 | |||
273.167 | odd | 12 | 819.2.fm.g.622.6 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.bc.a.6.3 | ✓ | 32 | 1.1 | even | 1 | trivial | |
91.2.bc.a.6.4 | yes | 32 | 7.6 | odd | 2 | inner | |
91.2.bc.a.76.3 | yes | 32 | 91.76 | even | 12 | inner | |
91.2.bc.a.76.4 | yes | 32 | 13.11 | odd | 12 | inner | |
637.2.x.b.19.5 | 32 | 7.3 | odd | 6 | |||
637.2.x.b.19.6 | 32 | 7.4 | even | 3 | |||
637.2.x.b.570.5 | 32 | 91.89 | even | 12 | |||
637.2.x.b.570.6 | 32 | 91.37 | odd | 12 | |||
637.2.bb.b.227.3 | 32 | 7.5 | odd | 6 | |||
637.2.bb.b.227.4 | 32 | 7.2 | even | 3 | |||
637.2.bb.b.362.3 | 32 | 91.11 | odd | 12 | |||
637.2.bb.b.362.4 | 32 | 91.24 | even | 12 | |||
819.2.fm.g.370.5 | 32 | 21.20 | even | 2 | |||
819.2.fm.g.370.6 | 32 | 3.2 | odd | 2 | |||
819.2.fm.g.622.5 | 32 | 39.11 | even | 12 | |||
819.2.fm.g.622.6 | 32 | 273.167 | odd | 12 |